diff --git a/.gitignore b/.gitignore
new file mode 100644
index 0000000..07e76ee
--- /dev/null
+++ b/.gitignore
@@ -0,0 +1,117 @@
+# Byte-compiled / optimized / DLL files
+__pycache__/
+*.py[cod]
+*$py.class
+
+# Generated C code
+*.c
+
+# C extensions
+*.so
+
+# Vi
+*.swp
+*.swo
+
+# Distribution / packaging
+.Python
+build/
+develop-eggs/
+dist/
+downloads/
+eggs/
+.eggs/
+lib/
+lib64/
+parts/
+sdist/
+var/
+wheels/
+*.egg-info/
+.installed.cfg
+*.egg
+MANIFEST
+
+# PyInstaller
+#  Usually these files are written by a python script from a template
+#  before PyInstaller builds the exe, so as to inject date/other infos into it.
+*.manifest
+*.spec
+
+# Installer logs
+pip-log.txt
+pip-delete-this-directory.txt
+
+# Unit test / coverage reports
+htmlcov/
+.tox/
+.coverage
+.coverage.*
+.cache
+nosetests.xml
+coverage.xml
+*.cover
+.hypothesis/
+.pytest_cache/
+
+# Translations
+*.mo
+*.pot
+
+# Django stuff:
+*.log
+local_settings.py
+db.sqlite3
+
+# Flask stuff:
+instance/
+.webassets-cache
+
+# Scrapy stuff:
+.scrapy
+
+# Sphinx documentation
+docs/_build/
+
+# PyBuilder
+target/
+
+# Jupyter Notebook
+.ipynb_checkpoints
+
+# pyenv
+.python-version
+
+# celery beat schedule file
+celerybeat-schedule
+
+# SageMath parsed files
+*.sage.py
+
+# Environments
+.env
+.venv
+env/
+venv/
+ENV/
+env.bak/
+venv.bak/
+
+# Spyder project settings
+.spyderproject
+.spyproject
+
+# Rope project settings
+.ropeproject
+
+# mkdocs documentation
+/site
+
+# mypy
+.mypy_cache/
+
+# PyCharm
+.idea
+
+# Mac
+.DS_Store
diff --git a/design_docs/01_rankN_arrays.md b/design_docs/01_rankN_arrays.md
new file mode 100644
index 0000000..02048d1
--- /dev/null
+++ b/design_docs/01_rankN_arrays.md
@@ -0,0 +1,248 @@
+<table>
+    <tr><td> Author </td><td> Erik Welch (eriknw) </td></tr>
+    <tr><td> Status </td><td> Draft </td></tr>
+    <tr><td> Created </td><td> Aug 26, 2022</td></tr>
+    <tr><td> Resolution </td><td> &lt;url&gt; (Accepted | Rejected | Withdrawn)</td></tr>
+</table>
+
+## Abstract
+
+This design document considers what is necessary to support sparse rank N arrays.  We will consider a narrow scope and broad scope:
+1. how to support rank 1 and 2 arrays in a way that will let us support rank N arrays in the future, and
+2. how to fully support rank N arrays
+
+We use [TACO](http://tensor-compiler.org/) and [MLIR's sparse_tensor dialect](https://mlir.llvm.org/docs/Dialects/SparseTensorOps/) as motivation for sparse rank N arrays (or tensors), and our proposal will be fully compatible with them.
+
+## Motivation
+
+We are developing a specification for binary storage of sparse matrices and vectors.  The solution will entail saving metadata and storing multiple one-dimensional arrays.  Storing rank N arrays need the same things: metadata and one-dimensional arrays.  So, why not try to support arrays of arbitrary dimension if it's easy to do so?  This will make the binary storage format more capable.
+
+Many people are already familiar with existing compression schemes for arrays, including COO, CSR (or CRS), DCSC (or HyperCSC), CSF, and more.  I think it would be best to reuse these names when possible to increase usability.  Doing so will make our documentation clearer, and we want users who only use 1d and 2d arrays to be comfortable.  Is this possible with a generic scheme that supports rank N arrays?  Let's find out!
+
+## Detailed description
+
+### Rank 1 and 2 arrays
+
+Since we don't yet have specific proposals for how to support rank 1 and 2 arrays, this section will be speculative and constructive.
+
+#### Names of constituent  arrays
+
+Using names like `rows` and `col_indices` does not scale to arbitrary rank.  For example, the two arrays for CSR may typically be called `indptr` and `col_indices`, but we can use names such as `pointers_0` and `indices_1` that can be generalized to arbitrary rank.
+
+Here's how these arrays would be used for common structures:
+
+| Type | `indices_0` | `pointers_0` | `indices_1` | `axis_order` |
+| -- | :--: | :--: | :--: | :--: |
+| **Vector** | Yes | | | `[0]` |
+| **CSR** | | Yes | Yes | `[0, 1]` |
+| **CSC** | | Yes | Yes | `[1, 0]` |
+| **DCSR** | Yes | Yes | Yes | `[0, 1]` |
+| **DCSC** | Yes | Yes | Yes | `[1, 0]` |
+| **COO** | Yes | | Yes | `[0, 1]` or `[1, 0]` |
+
+`pointers_i` array is used to group indices of the current dimension to the indices of the next dimension.
+
+<!-- TODO: Below is an example of DCSR compression.  The indices are in boxes, and pointers are next to the lines: -->
+
+#### Row or column orientation
+
+Observe that CSR and CSC both use `pointers_0` and `indices_1` in the table above, and `axis_order` is used to determine whether the array is row-major or column-major.  This is also called `dimOrdering` in [MLIR sparse_tensor](https://mlir.llvm.org/docs/Dialects/SparseTensorOps/#parameters).  It is necessary for `axis_order` to be a list or tuple to support different axis ordering in higher dimensions such as `axis_order=[1, 3, 0, 2]`.
+
+For COO, `axis_order` indicates whether `indices_0` is rows (`axis_order=[0, 1]`) or columns (`axis_order[1, 0]`).
+
+_Proposal:_ if the compression type (such as CSR) ends in **"R"**, then `axis_order` uses **r**egular ordering `0, 1, ..., N-1`, and if it ends in **"C"**, then `axis_order` uses **c**ontrary ordering `N-1, N-2, ... 1, 0`.
+
+<!-- Perhaps `axis_order` could optionally be `"R"` or `"C"`. -->
+
+#### Simplifying assumptions
+
+Traditionally, COO is a common and flexible format.  It can often have duplicate indices, and indices may not be sorted.  Other storage formats can also allow for duplicate indices or unsorted indices; for example SuiteSparse:GraphBLAS import and export of CSR allows the column indices to be unsorted.
+
+Let us assume that the _standard_ storage formats that we are designing will have unique indices, and the indices will be sorted lexicographically by `indices_0`, `indices_1`, etc.
+
+_Remark:_ it would be nice to easily allow extensions to our specification so that e.g. SuiteSparse:GraphBLAS could keep data unsorted.  Data readers should fail when reading unknown extensions that break the standard storage format.
+
+#### Names of compression types
+
+Indices for a dimension may be compressed in three different ways: like COO, CSR, or DCSR.  Let's give these names:
+
+| Name | Abbv | `indices_i` | `pointers_i` | Like |
+| -- | :--: | :--: | :--: | :--: |
+| **sparse** | **`S`** | Yes | | COO |
+| **compressed** | **`C`** | | Yes | CSR |
+| **doubly compressed** | **`DC`** | Yes | Yes | DCSR |
+
+- **"sparse" (`S`)** dimension indices are aligned to the indices of the following dimension (or values if the final dimension)
+  - `len(indices_i) == len(indices_{i+1})`, or `len(indices_i) == len(values)` if the final dimension
+- **"compressed" (`C`)** dimension allows fast O(1) lookup by the index into the pointers array
+  - The previous dimension does not need to store `pointers_{i-1}`
+- **"doubly compressed" (`DC`)** stores unique index values (so O(1) lookup isn't possible) and pointers to the next dimension
+  - `len(pointers_i) == len(indices_i) + 1`
+
+The final dimension must be "sparse" (`S`).  The compression schemes for rank 2 arrays are:
+
+| Dim 0 | Dim 1 | Ordering | Abbv |
+| :--: | :--: | :--: | :--: |
+| C<br>compressed | S<br>sparse | R<br>`[0, 1]` | CSR |
+| C<br>compressed | S<br>sparse | C<br>`[1, 0]` | CSC |
+| DC<br>doubly compressed | S<br>sparse | R<br>`[0, 1]` | DCSR |
+| DC<br>doubly compressed | S<br>sparse | C<br>`[1, 0]` | DCSC |
+| S<br>sparse | S<br>sparse | R<br>`[0, 1]` | SSR |
+| S<br>sparse | S<br>sparse | C<br>`[1, 0]` | SSC |
+
+CSR, CSC, DCSR, and DCSC are familiar and keep their original meanings.
+
+#### COO
+
+SSR and SSC in the previous table are new and are instances of COO with sorted indices and no duplicates (according to our simplifying assumptions).  SSR indices are lexicographically sorted by row then column, and a backronym could be "sorted sparse rows".  Conversely, SSC indices are lexicographically sorted by column then row, and a backronym could be "sorted sparse columns".
+
+We can consider also keeping COO as a type of compression.  COO does not need to be sorted, and metadata can indicate whether or not it may have duplicate indices.
+
+#### Dense dimensions or multidimensional values array
+
+Examples of structures with dense dimensions are dense vectors, dense matrices, and sparse vectors where each value is a dense array (so it's actually a matrix).  It is an open question if and how we want to handle these.  It may be straightforward to support this by allowing the values array to be N-dimensional and have metadata that indicates the shape and layout.
+
+Per our language, we do not consider CSR to have any dense dimensions.  Dense dimensions are those that can be combined into a dense, multidimensional values array.
+
+#### Multiple value arrays
+
+It may be reasonable for the same sparse structure to have multiple value arrays.  This is another open design question.
+
+Supporting rank N arrays probably doesn't constrain how we may support having multiple value arrays.  A potential complication is when one values array is a scalar per element, and another is an array per element.
+
+#### Attributes
+
+It may be useful to store attributes such as `is_symmetric`, `is_structure_symmetric`, `is_upper_triangular`, `ndiag`, etc.  It may be more complicated to have attributes like this in a way that generalizes to higher dimensions.
+
+### Rank N arrays
+
+#### Names of constituent arrays
+
+Use `indices_0`, `pointers_0`, `indices_1`, `pointers_1`, ..., `indices_{N-1}`.
+
+#### Dimension order
+
+Use `axis_order` with the same semantics as `dimOrdering` in MLIR sparse tensor dialect.
+
+<!-- TODO: briefly explain semantics of `axis_order`. -->
+
+We can reuse "R" to mean regular ordering `axis_order=[0, 1, ..., N-1]` and "C" to mean contrary ordering `axis_order=[N-1, N-2, ..., 1, 0]`.  Perhaps we can use "X" to indicate any other ordering.
+
+#### Compression types
+
+The last dimension must be "sparse" (`S`).  All other dimensions may be sparse (`S`), compressed (`C`), or doubly compressed (`DC`).  This fully supports the TACO and MLIR sparse tensor formats.
+
+For larger dimensions, it is sometimes more clear to separate the abbreviated structure with hyphens.  For example, `C-DC-S-S-R` instead of `CDCSSR`.
+
+**Examples:**
+
+<font size="+1">**`DC-DC-DC-S`**</font>
+
+![](img/DC-DC-DC-S.svg)
+
+<font size="+1">**`S-C-DC-S`**</font>
+
+![](img/S-C-DC-S.svg)
+
+See more examples of different compression types on a rank 4 array here:
+
+https://nbviewer.org/github/eriknw/binsparse-specification/blob/spz/spz_python/notebooks/Example_Rank4.ipynb
+
+<!-- TODO: update link to not use eriknw -->
+
+#### COO
+
+As with rank 2, we can support sorted COO without duplicates as e.g. SSSSSSR.
+
+We can consider supporting rank N COO that is unsorted and may have duplicates.
+
+#### Dense dimensions or multidimensional values array
+
+Probably no change necessary to support rank N.
+
+This is important to support in order to fully match TACO and MLIR sparse tensor.
+
+This is also necessary to support semi-COO (sCOO):
+- ["Optimizing Sparse Tensor Times Matrix on
+Multi-core and Many-core Architectures" by Jiajia Li, et al
+](http://fruitfly1026.github.io/static/files/sc16-ia3.pdf)
+
+#### Multiple value arrays
+
+Probably no change necessary to support rank N.
+
+#### Different jargon
+
+Sparse compression of rank N arrays is an active area of research, and users of that community may prefer the use of different jargon.  For example, _modes_ (the order of dimensions), _fibers_, and _slices_.  Also, _tensor_ is generally understood to be a multidimensional array, but may have different meanings for physicists, mathematicians, Python users (e.g., a tensor is an N-D array that can use GPUs), etc.
+
+#### Chunking strategies
+
+Not determined for ranks 1 and 2 yet, but probably little to no change necessary to support rank N.
+
+We may want to consider whether our strategy can support HiCOO:
+- https://sc17.supercomputing.org/SC17%20Archive/tech_poster/poster_files/post213s2-file3.pdf
+- http://fruitfly1026.github.io/static/files/sc18-li.pdf
+
+### Differences from TACO and MLIR sparse tensor
+
+Our proposal uses different naming schemes than TACO and MLIR sparse tensor, which use:
+
+| Type | Dim 0 | Dim 1 |
+| -- | :--: | :--: |
+| CSR | dense | compressed |
+| DCSR | compressed | compressed |
+| DCSR (alt) | singleton | compressed |
+| COO | singleton | singleton |
+
+- "dense" dimensions store no arrays
+- "compressed" dimension store `pointers_i` and `indices_i` arrays
+- "singleton" dimension store `indices_i` arrays
+
+Note that TACO does not support "singleton" compression, and "singleton" may not be fully supported yet in MLIR sparse tensor.
+
+The main difference from our proposal is the use of `pointer_i`.  In TACO and MLIR sparse tensor, `pointers_i` groups the _previous_ indices to the current indices.  In our proposal, `pointers_i` groups the current indices to the _next_ indices.
+
+In TACO, DCSR is constructed using "compressed", "compressed" dimensions.  This results in _two_ `pointers` arrays, which is not standard DCSR.  Only one `pointers` array is necessary.  In MLIR, there are two ways to specify DCSR arrays.  Our proposal only has one way to specify DCSR, and it does not have an extra, unnecessary `pointers` array.
+
+It is straightforward to convert from our specification to MLIR sparse tensor specification:
+1. Increment `pointers` arrays, so e.g. `pointers_0` becomes `mlir_pointers_1`
+2. If a dimension has both `mlir_pointers_i` and `indices_i`, then it is MLIR's "compressed"
+3. If a dimension has only `indices_i`, then it is MLIR's "singleton"
+4. If a dimension does not have `mlir_pointers_i` or `indices_i`, then it is MLIR's "dense"
+
+### Extensions
+
+#### Multigraph support
+
+It would be easy support multigraphs, which can have multiple edges between nodes.  This is done by allowing duplicate indices so an index can have multiple values.  COO naturally supports this.  Other formats can as well.
+
+Our proposal needs two changes to support multigraphs:
+1. Allow the final dimension to be "compressed" (`C`) or "doubly compressed" (`DC`) where the pointers group indices to values
+2. Add a flag to the global metadata to indicate whether there may be duplicate indices
+
+Observe that this is a natural, "obvious" consequence of our proposal, whereas TACO and MLIR sparse tensor cannot support multigraphs like this without adding another dimension.
+
+This gives us two more compression types for vectors ("compressed" and "doubly compressed"), and 12 more compression types for matrices (`SCR`, `SDCR`, `CCR`, `CDCR`, `DCCR`, `DCDCR` and the columnwise variants).  These should only be used for multigraphs.
+
+#### Unsorted dimensions
+
+Indices in "sparse" and "doubly compressed" dimensions do not need to be sorted, but `pointers` boundaries must still be respected.  For example, import and export in SuiteSparse:GraphBLAS supports unsorted column indices within each row for CSR and DCSR.
+
+If there are multiple sequential "sparse" dimensions (such as COO), only the first one needs to indicate that it is unsorted.  This is because sortedness only applies to indices between pointers; for example, column indices for a given row in CSR are between pointers.  Furthermore, if a "sparse" dimension _did_ store pointers, it would be `[0, 1, 2, ..., N]`, which means there is only one index in the next dimension that is grouped between pointers, and sortedness of a single element is extraneous.
+
+This could be supported by adding a flag to each "sparse" and "doubly compressed" dimension.
+
+#### Balanced CSF
+
+This is an extension to "doubly compressed" dimensions based on B-CSF in ["Load-Balanced Sparse MTTKRP on GPUs" by Israt Nisa, et al](https://arxiv.org/pdf/1904.03329.pdf).  It allows indices in "doubly compressed" dimensions to be duplicated in order for subtrees to be more comparably sized.
+
+This could be supported by adding a flag to each "doubly compressed" dimension.
+
+#### Different sub-tree compressions
+
+Sometimes compression can be improved by using different compression schemes for different groups of indices.  Examples:
+
+- HB-CSF: https://arxiv.org/pdf/1904.03329.pdf
+- MM-CSF: https://par.nsf.gov/servlets/purl/10172913
+
+This may be challenging or complicated to support.
\ No newline at end of file
diff --git a/design_docs/img/DC-DC-DC-S.svg b/design_docs/img/DC-DC-DC-S.svg
new file mode 100644
index 0000000..3108232
--- /dev/null
+++ b/design_docs/img/DC-DC-DC-S.svg
@@ -0,0 +1,253 @@
+<svg xmlns="http://www.w3.org/2000/svg" width="240" height="304">
+    <style>line, path, circle,rect,polygon {
+                          stroke: black;
+                          stroke-width: 2;
+                          stroke-opacity: 1;
+                          fill-opacity: 1;
+                          stroke-linecap: round;
+                          stroke-linejoin: miter;
+                        }
+
+                    text {
+                        /* This fix the spacing bug in svg text*/
+                        white-space: pre;
+                        fill: black;
+                        }
+                        rect.backdrop{
+                            stroke: none;
+                            fill: white;
+                        }
+                        .broken{
+                            stroke-dasharray: 8;
+                        }
+                        .filled{
+                            fill: black;
+                        }
+                        .bg_filled{
+                            fill: white;
+                        }
+                        .nofill{
+                            fill: white;
+                        }
+
+                        text {
+                         font-family: monospace;
+                         font-size: 14px;
+                        }
+
+                        .end_marked_arrow{
+                            marker-end: url(#arrow);
+                         }
+                        .start_marked_arrow{
+                            marker-start: url(#arrow);
+                         }
+
+                        .end_marked_diamond{
+                            marker-end: url(#diamond);
+                         }
+                        .start_marked_diamond{
+                            marker-start: url(#diamond);
+                         }
+
+                        .end_marked_circle{
+                            marker-end: url(#circle);
+                         }
+                        .start_marked_circle{
+                            marker-start: url(#circle);
+                         }
+
+                        .end_marked_open_circle{
+                            marker-end: url(#open_circle);
+                         }
+                        .start_marked_open_circle{
+                            marker-start: url(#open_circle);
+                         }
+
+                        .end_marked_big_open_circle{
+                            marker-end: url(#big_open_circle);
+                         }
+                        .start_marked_big_open_circle{
+                            marker-start: url(#big_open_circle);
+                         }
+
+                         
+                        </style>
+    <defs>
+        <marker id="arrow" viewBox="-2 -2 8 8" refX="4" refY="2" markerWidth="7" markerHeight="7" orient="auto-start-reverse">
+            <polygon points="0,0 0,4 4,2 0,0"></polygon>
+        </marker>
+        <marker id="diamond" viewBox="-2 -2 8 8" refX="4" refY="2" markerWidth="7" markerHeight="7" orient="auto-start-reverse">
+            <polygon points="0,2 2,0 4,2 2,4 0,2"></polygon>
+        </marker>
+        <marker id="circle" viewBox="0 0 8 8" refX="4" refY="4" markerWidth="7" markerHeight="7" orient="auto-start-reverse">
+            <circle cx="4" cy="4" r="2" class="filled"></circle>
+        </marker>
+        <marker id="open_circle" viewBox="0 0 8 8" refX="4" refY="4" markerWidth="7" markerHeight="7" orient="auto-start-reverse">
+            <circle cx="4" cy="4" r="2" class="bg_filled"></circle>
+        </marker>
+        <marker id="big_open_circle" viewBox="0 0 8 8" refX="4" refY="4" markerWidth="7" markerHeight="7" orient="auto-start-reverse">
+            <circle cx="4" cy="4" r="3" class="bg_filled"></circle>
+        </marker>
+    </defs>
+    <rect x="4" y="8" width="32" height="32" class="solid nofill" rx="4"></rect>
+    <text x="10" y="28" >i0</text>
+    <rect x="68" y="8" width="32" height="32" class="solid nofill" rx="4"></rect>
+    <text x="74" y="28" >i1</text>
+    <rect x="132" y="8" width="32" height="32" class="solid nofill" rx="4"></rect>
+    <text x="138" y="28" >i2</text>
+    <rect x="196" y="8" width="32" height="32" class="solid nofill" rx="4"></rect>
+    <text x="202" y="28" >i3</text>
+    <text x="42" y="28" >p0</text>
+    <text x="106" y="28" >p1</text>
+    <text x="170" y="28" >p2</text>
+    <line x1="0" y1="54" x2="232" y2="54" class="solid"></line>
+    <line x1="0" y1="58" x2="232" y2="58" class="solid"></line>
+    <text x="50" y="76" >0</text>
+    <text x="114" y="76" >0</text>
+    <text x="178" y="76" >0</text>
+    <text x="10" y="92" >0</text>
+    <text x="74" y="92" >0</text>
+    <text x="138" y="92" >0</text>
+    <text x="202" y="92" >1</text>
+    <text x="114" y="108" >1</text>
+    <text x="202" y="108" >2</text>
+    <text x="178" y="124" >2</text>
+    <text x="74" y="140" >1</text>
+    <text x="138" y="140" >0</text>
+    <text x="202" y="140" >0</text>
+    <text x="50" y="156" >2</text>
+    <text x="202" y="156" >2</text>
+    <text x="178" y="172" >4</text>
+    <text x="138" y="188" >1</text>
+    <text x="202" y="188" >0</text>
+    <text x="114" y="204" >3</text>
+    <text x="178" y="204" >5</text>
+    <text x="10" y="236" >1</text>
+    <text x="74" y="236" >1</text>
+    <text x="138" y="236" >1</text>
+    <text x="202" y="236" >0</text>
+    <text x="50" y="252" >3</text>
+    <text x="114" y="252" >4</text>
+    <text x="202" y="252" >1</text>
+    <text x="202" y="268" >2</text>
+    <text x="178" y="284" >8</text>
+    <g>
+        <path d="M 8,72 A 4,4 0,0,0 4,76" class="nofill"></path>
+        <line x1="4" y1="76" x2="4" y2="100" class="solid"></line>
+        <line x1="8" y1="72" x2="24" y2="72" class="solid"></line>
+        <path d="M 24,72 A 4,4 0,0,1 28,76" class="nofill"></path>
+        <line x1="28" y1="76" x2="28" y2="100" class="solid"></line>
+        <path d="M 4,100 A 4,4 0,0,0 8,104" class="nofill"></path>
+        <line x1="8" y1="104" x2="24" y2="104" class="solid"></line>
+        <path d="M 28,100 A 4,4 0,0,1 24,104" class="nofill"></path>
+        <path d="M 72,72 A 4,4 0,0,0 68,76" class="nofill"></path>
+        <line x1="68" y1="76" x2="68" y2="100" class="solid"></line>
+        <line x1="72" y1="72" x2="88" y2="72" class="solid"></line>
+        <path d="M 88,72 A 4,4 0,0,1 92,76" class="nofill"></path>
+        <line x1="92" y1="76" x2="92" y2="100" class="solid"></line>
+        <line x1="28" y1="88" x2="68" y2="88" class="solid"></line>
+        <line x1="44" y1="88" x2="44" y2="132" class="solid"></line>
+        <path d="M 68,100 A 4,4 0,0,0 72,104" class="nofill"></path>
+        <line x1="72" y1="104" x2="88" y2="104" class="solid"></line>
+        <path d="M 92,100 A 4,4 0,0,1 88,104" class="nofill"></path>
+        <path d="M 44,132 A 4,4 0,0,0 48,136" class="nofill"></path>
+        <path d="M 136,72 A 4,4 0,0,0 132,76" class="nofill"></path>
+        <line x1="132" y1="76" x2="132" y2="100" class="solid"></line>
+        <line x1="136" y1="72" x2="152" y2="72" class="solid"></line>
+        <path d="M 152,72 A 4,4 0,0,1 156,76" class="nofill"></path>
+        <line x1="156" y1="76" x2="156" y2="100" class="solid"></line>
+        <line x1="92" y1="88" x2="132" y2="88" class="solid"></line>
+        <path d="M 132,100 A 4,4 0,0,0 136,104" class="nofill"></path>
+        <line x1="136" y1="104" x2="152" y2="104" class="solid"></line>
+        <path d="M 156,100 A 4,4 0,0,1 152,104" class="nofill"></path>
+        <path d="M 200,72 A 4,4 0,0,0 196,76" class="nofill"></path>
+        <line x1="196" y1="76" x2="196" y2="196" class="solid"></line>
+        <line x1="200" y1="72" x2="216" y2="72" class="solid"></line>
+        <path d="M 216,72 A 4,4 0,0,1 220,76" class="nofill"></path>
+        <line x1="220" y1="76" x2="220" y2="196" class="solid"></line>
+        <line x1="156" y1="88" x2="196" y2="88" class="solid"></line>
+        <line x1="172" y1="88" x2="172" y2="100" class="solid"></line>
+        <path d="M 172,100 A 4,4 0,0,0 176,104" class="nofill"></path>
+        <line x1="176" y1="104" x2="196" y2="104" class="solid"></line>
+        <line x1="196" y1="120" x2="220" y2="120" class="solid"></line>
+        <line x1="196" y1="168" x2="220" y2="168" class="solid"></line>
+        <path d="M 196,196 A 4,4 0,0,0 200,200" class="nofill"></path>
+        <line x1="200" y1="200" x2="216" y2="200" class="solid"></line>
+        <path d="M 220,196 A 4,4 0,0,1 216,200" class="nofill"></path>
+        <path d="M 72,120 A 4,4 0,0,0 68,124" class="nofill"></path>
+        <line x1="68" y1="124" x2="68" y2="148" class="solid"></line>
+        <line x1="72" y1="120" x2="88" y2="120" class="solid"></line>
+        <path d="M 88,120 A 4,4 0,0,1 92,124" class="nofill"></path>
+        <line x1="92" y1="124" x2="92" y2="148" class="solid"></line>
+        <line x1="48" y1="136" x2="68" y2="136" class="solid"></line>
+        <path d="M 68,148 A 4,4 0,0,0 72,152" class="nofill"></path>
+        <line x1="72" y1="152" x2="88" y2="152" class="solid"></line>
+        <path d="M 92,148 A 4,4 0,0,1 88,152" class="nofill"></path>
+        <path d="M 136,120 A 4,4 0,0,0 132,124" class="nofill"></path>
+        <line x1="132" y1="124" x2="132" y2="148" class="solid"></line>
+        <line x1="136" y1="120" x2="152" y2="120" class="solid"></line>
+        <path d="M 152,120 A 4,4 0,0,1 156,124" class="nofill"></path>
+        <line x1="156" y1="124" x2="156" y2="148" class="solid"></line>
+        <line x1="92" y1="136" x2="132" y2="136" class="solid"></line>
+        <line x1="108" y1="136" x2="108" y2="180" class="solid"></line>
+        <line x1="156" y1="136" x2="196" y2="136" class="solid"></line>
+        <line x1="172" y1="136" x2="172" y2="148" class="solid"></line>
+        <path d="M 132,148 A 4,4 0,0,0 136,152" class="nofill"></path>
+        <line x1="136" y1="152" x2="152" y2="152" class="solid"></line>
+        <path d="M 156,148 A 4,4 0,0,1 152,152" class="nofill"></path>
+        <path d="M 172,148 A 4,4 0,0,0 176,152" class="nofill"></path>
+        <line x1="176" y1="152" x2="196" y2="152" class="solid"></line>
+        <path d="M 108,180 A 4,4 0,0,0 112,184" class="nofill"></path>
+        <path d="M 136,168 A 4,4 0,0,0 132,172" class="nofill"></path>
+        <line x1="132" y1="172" x2="132" y2="196" class="solid"></line>
+        <line x1="136" y1="168" x2="152" y2="168" class="solid"></line>
+        <path d="M 152,168 A 4,4 0,0,1 156,172" class="nofill"></path>
+        <line x1="156" y1="172" x2="156" y2="196" class="solid"></line>
+        <line x1="112" y1="184" x2="132" y2="184" class="solid"></line>
+        <line x1="156" y1="184" x2="196" y2="184" class="solid"></line>
+        <path d="M 132,196 A 4,4 0,0,0 136,200" class="nofill"></path>
+        <line x1="136" y1="200" x2="152" y2="200" class="solid"></line>
+        <path d="M 156,196 A 4,4 0,0,1 152,200" class="nofill"></path>
+    </g>
+    <g>
+        <path d="M 8,216 A 4,4 0,0,0 4,220" class="nofill"></path>
+        <line x1="4" y1="220" x2="4" y2="244" class="solid"></line>
+        <line x1="8" y1="216" x2="24" y2="216" class="solid"></line>
+        <path d="M 24,216 A 4,4 0,0,1 28,220" class="nofill"></path>
+        <line x1="28" y1="220" x2="28" y2="244" class="solid"></line>
+        <path d="M 4,244 A 4,4 0,0,0 8,248" class="nofill"></path>
+        <line x1="8" y1="248" x2="24" y2="248" class="solid"></line>
+        <path d="M 28,244 A 4,4 0,0,1 24,248" class="nofill"></path>
+        <path d="M 72,216 A 4,4 0,0,0 68,220" class="nofill"></path>
+        <line x1="68" y1="220" x2="68" y2="244" class="solid"></line>
+        <line x1="72" y1="216" x2="88" y2="216" class="solid"></line>
+        <path d="M 88,216 A 4,4 0,0,1 92,220" class="nofill"></path>
+        <line x1="92" y1="220" x2="92" y2="244" class="solid"></line>
+        <line x1="28" y1="232" x2="68" y2="232" class="solid"></line>
+        <path d="M 68,244 A 4,4 0,0,0 72,248" class="nofill"></path>
+        <line x1="72" y1="248" x2="88" y2="248" class="solid"></line>
+        <path d="M 92,244 A 4,4 0,0,1 88,248" class="nofill"></path>
+        <path d="M 136,216 A 4,4 0,0,0 132,220" class="nofill"></path>
+        <line x1="132" y1="220" x2="132" y2="244" class="solid"></line>
+        <line x1="136" y1="216" x2="152" y2="216" class="solid"></line>
+        <path d="M 152,216 A 4,4 0,0,1 156,220" class="nofill"></path>
+        <line x1="156" y1="220" x2="156" y2="244" class="solid"></line>
+        <line x1="92" y1="232" x2="132" y2="232" class="solid"></line>
+        <path d="M 132,244 A 4,4 0,0,0 136,248" class="nofill"></path>
+        <line x1="136" y1="248" x2="152" y2="248" class="solid"></line>
+        <path d="M 156,244 A 4,4 0,0,1 152,248" class="nofill"></path>
+        <path d="M 200,216 A 4,4 0,0,0 196,220" class="nofill"></path>
+        <line x1="196" y1="220" x2="196" y2="276" class="solid"></line>
+        <line x1="200" y1="216" x2="216" y2="216" class="solid"></line>
+        <path d="M 216,216 A 4,4 0,0,1 220,220" class="nofill"></path>
+        <line x1="220" y1="220" x2="220" y2="276" class="solid"></line>
+        <line x1="156" y1="232" x2="196" y2="232" class="solid"></line>
+        <line x1="172" y1="232" x2="172" y2="260" class="solid"></line>
+        <line x1="172" y1="248" x2="196" y2="248" class="solid"></line>
+        <path d="M 172,260 A 4,4 0,0,0 176,264" class="nofill"></path>
+        <line x1="176" y1="264" x2="196" y2="264" class="solid"></line>
+        <path d="M 196,276 A 4,4 0,0,0 200,280" class="nofill"></path>
+        <line x1="200" y1="280" x2="216" y2="280" class="solid"></line>
+        <path d="M 220,276 A 4,4 0,0,1 216,280" class="nofill"></path>
+    </g>
+</svg>
diff --git a/design_docs/img/S-C-DC-S.svg b/design_docs/img/S-C-DC-S.svg
new file mode 100644
index 0000000..bd3279c
--- /dev/null
+++ b/design_docs/img/S-C-DC-S.svg
@@ -0,0 +1,276 @@
+<svg xmlns="http://www.w3.org/2000/svg" width="240" height="304">
+    <style>line, path, circle,rect,polygon {
+                          stroke: black;
+                          stroke-width: 2;
+                          stroke-opacity: 1;
+                          fill-opacity: 1;
+                          stroke-linecap: round;
+                          stroke-linejoin: miter;
+                        }
+
+                    text {
+                        /* This fix the spacing bug in svg text*/
+                        white-space: pre;
+                        fill: black;
+                        }
+                        rect.backdrop{
+                            stroke: none;
+                            fill: white;
+                        }
+                        .broken{
+                            stroke-dasharray: 8;
+                        }
+                        .filled{
+                            fill: black;
+                        }
+                        .bg_filled{
+                            fill: white;
+                        }
+                        .nofill{
+                            fill: white;
+                        }
+
+                        text {
+                         font-family: monospace;
+                         font-size: 14px;
+                        }
+
+                        .end_marked_arrow{
+                            marker-end: url(#arrow);
+                         }
+                        .start_marked_arrow{
+                            marker-start: url(#arrow);
+                         }
+
+                        .end_marked_diamond{
+                            marker-end: url(#diamond);
+                         }
+                        .start_marked_diamond{
+                            marker-start: url(#diamond);
+                         }
+
+                        .end_marked_circle{
+                            marker-end: url(#circle);
+                         }
+                        .start_marked_circle{
+                            marker-start: url(#circle);
+                         }
+
+                        .end_marked_open_circle{
+                            marker-end: url(#open_circle);
+                         }
+                        .start_marked_open_circle{
+                            marker-start: url(#open_circle);
+                         }
+
+                        .end_marked_big_open_circle{
+                            marker-end: url(#big_open_circle);
+                         }
+                        .start_marked_big_open_circle{
+                            marker-start: url(#big_open_circle);
+                         }
+
+                         
+                        </style>
+    <defs>
+        <marker id="arrow" viewBox="-2 -2 8 8" refX="4" refY="2" markerWidth="7" markerHeight="7" orient="auto-start-reverse">
+            <polygon points="0,0 0,4 4,2 0,0"></polygon>
+        </marker>
+        <marker id="diamond" viewBox="-2 -2 8 8" refX="4" refY="2" markerWidth="7" markerHeight="7" orient="auto-start-reverse">
+            <polygon points="0,2 2,0 4,2 2,4 0,2"></polygon>
+        </marker>
+        <marker id="circle" viewBox="0 0 8 8" refX="4" refY="4" markerWidth="7" markerHeight="7" orient="auto-start-reverse">
+            <circle cx="4" cy="4" r="2" class="filled"></circle>
+        </marker>
+        <marker id="open_circle" viewBox="0 0 8 8" refX="4" refY="4" markerWidth="7" markerHeight="7" orient="auto-start-reverse">
+            <circle cx="4" cy="4" r="2" class="bg_filled"></circle>
+        </marker>
+        <marker id="big_open_circle" viewBox="0 0 8 8" refX="4" refY="4" markerWidth="7" markerHeight="7" orient="auto-start-reverse">
+            <circle cx="4" cy="4" r="3" class="bg_filled"></circle>
+        </marker>
+    </defs>
+    <rect x="4" y="8" width="32" height="32" class="solid nofill" rx="4"></rect>
+    <text x="10" y="28" >i0</text>
+    <rect x="68" y="8" width="32" height="32" class="broken nofill" rx="4"></rect>
+    <text x="74" y="28" >i1</text>
+    <rect x="132" y="8" width="32" height="32" class="solid nofill" rx="4"></rect>
+    <text x="138" y="28" >i2</text>
+    <rect x="196" y="8" width="32" height="32" class="solid nofill" rx="4"></rect>
+    <text x="202" y="28" >i3</text>
+    <rect x="68" y="72" width="24" height="32" class="broken nofill" rx="4"></rect>
+    <text x="74" y="92" >0</text>
+    <rect x="68" y="120" width="24" height="32" class="broken nofill" rx="4"></rect>
+    <text x="74" y="140" >1</text>
+    <rect x="68" y="216" width="24" height="32" class="broken nofill" rx="4"></rect>
+    <text x="74" y="236" >1</text>
+    <text x="42" y="28" >p0</text>
+    <text x="106" y="28" >p1</text>
+    <text x="170" y="28" >p2</text>
+    <line x1="0" y1="54" x2="232" y2="54" class="solid"></line>
+    <line x1="0" y1="58" x2="232" y2="58" class="solid"></line>
+    <text x="50" y="76" >0</text>
+    <text x="114" y="76" >0</text>
+    <text x="178" y="76" >0</text>
+    <text x="10" y="92" >0</text>
+    <text x="138" y="92" >0</text>
+    <text x="202" y="92" >1</text>
+    <text x="50" y="108" >1</text>
+    <text x="114" y="108" >1</text>
+    <text x="202" y="108" >2</text>
+    <text x="178" y="124" >2</text>
+    <text x="10" y="140" >0</text>
+    <text x="138" y="140" >0</text>
+    <text x="202" y="140" >0</text>
+    <text x="50" y="156" >2</text>
+    <text x="202" y="156" >2</text>
+    <text x="178" y="172" >4</text>
+    <text x="10" y="188" >1</text>
+    <text x="74" y="188" >0</text>
+    <text x="138" y="188" >1</text>
+    <text x="202" y="188" >0</text>
+    <text x="50" y="204" >3</text>
+    <text x="114" y="204" >3</text>
+    <text x="178" y="204" >5</text>
+    <text x="114" y="220" >3</text>
+    <text x="10" y="236" >1</text>
+    <text x="138" y="236" >1</text>
+    <text x="202" y="236" >0</text>
+    <text x="50" y="252" >4</text>
+    <text x="114" y="252" >4</text>
+    <text x="202" y="252" >1</text>
+    <text x="202" y="268" >2</text>
+    <text x="178" y="284" >8</text>
+    <g>
+        <path d="M 8,72 A 4,4 0,0,0 4,76" class="nofill"></path>
+        <line x1="4" y1="76" x2="4" y2="100" class="solid"></line>
+        <line x1="8" y1="72" x2="24" y2="72" class="solid"></line>
+        <path d="M 24,72 A 4,4 0,0,1 28,76" class="nofill"></path>
+        <line x1="28" y1="76" x2="28" y2="100" class="solid"></line>
+        <line x1="28" y1="88" x2="64" y2="88" class="broken"></line>
+        <path d="M 4,100 A 4,4 0,0,0 8,104" class="nofill"></path>
+        <line x1="8" y1="104" x2="24" y2="104" class="solid"></line>
+        <path d="M 28,100 A 4,4 0,0,1 24,104" class="nofill"></path>
+    </g>
+    <g>
+        <path d="M 136,72 A 4,4 0,0,0 132,76" class="nofill"></path>
+        <line x1="132" y1="76" x2="132" y2="100" class="solid"></line>
+        <line x1="136" y1="72" x2="152" y2="72" class="solid"></line>
+        <path d="M 152,72 A 4,4 0,0,1 156,76" class="nofill"></path>
+        <line x1="156" y1="76" x2="156" y2="100" class="solid"></line>
+        <line x1="96" y1="88" x2="132" y2="88" class="solid"></line>
+        <path d="M 132,100 A 4,4 0,0,0 136,104" class="nofill"></path>
+        <line x1="136" y1="104" x2="152" y2="104" class="solid"></line>
+        <path d="M 156,100 A 4,4 0,0,1 152,104" class="nofill"></path>
+        <path d="M 200,72 A 4,4 0,0,0 196,76" class="nofill"></path>
+        <line x1="196" y1="76" x2="196" y2="196" class="solid"></line>
+        <line x1="200" y1="72" x2="216" y2="72" class="solid"></line>
+        <path d="M 216,72 A 4,4 0,0,1 220,76" class="nofill"></path>
+        <line x1="220" y1="76" x2="220" y2="196" class="solid"></line>
+        <line x1="156" y1="88" x2="196" y2="88" class="solid"></line>
+        <line x1="172" y1="88" x2="172" y2="100" class="solid"></line>
+        <path d="M 172,100 A 4,4 0,0,0 176,104" class="nofill"></path>
+        <line x1="176" y1="104" x2="196" y2="104" class="solid"></line>
+        <line x1="196" y1="120" x2="220" y2="120" class="solid"></line>
+        <line x1="196" y1="168" x2="220" y2="168" class="solid"></line>
+        <path d="M 196,196 A 4,4 0,0,0 200,200" class="nofill"></path>
+        <line x1="200" y1="200" x2="216" y2="200" class="solid"></line>
+        <path d="M 220,196 A 4,4 0,0,1 216,200" class="nofill"></path>
+        <path d="M 136,120 A 4,4 0,0,0 132,124" class="nofill"></path>
+        <line x1="132" y1="124" x2="132" y2="148" class="solid"></line>
+        <line x1="136" y1="120" x2="152" y2="120" class="solid"></line>
+        <path d="M 152,120 A 4,4 0,0,1 156,124" class="nofill"></path>
+        <line x1="156" y1="124" x2="156" y2="148" class="solid"></line>
+        <line x1="96" y1="136" x2="132" y2="136" class="solid"></line>
+        <line x1="108" y1="136" x2="108" y2="180" class="solid"></line>
+        <line x1="156" y1="136" x2="196" y2="136" class="solid"></line>
+        <line x1="172" y1="136" x2="172" y2="148" class="solid"></line>
+        <path d="M 132,148 A 4,4 0,0,0 136,152" class="nofill"></path>
+        <line x1="136" y1="152" x2="152" y2="152" class="solid"></line>
+        <path d="M 156,148 A 4,4 0,0,1 152,152" class="nofill"></path>
+        <path d="M 172,148 A 4,4 0,0,0 176,152" class="nofill"></path>
+        <line x1="176" y1="152" x2="196" y2="152" class="solid"></line>
+        <path d="M 108,180 A 4,4 0,0,0 112,184" class="nofill"></path>
+        <path d="M 136,168 A 4,4 0,0,0 132,172" class="nofill"></path>
+        <line x1="132" y1="172" x2="132" y2="196" class="solid"></line>
+        <line x1="136" y1="168" x2="152" y2="168" class="solid"></line>
+        <path d="M 152,168 A 4,4 0,0,1 156,172" class="nofill"></path>
+        <line x1="156" y1="172" x2="156" y2="196" class="solid"></line>
+        <line x1="112" y1="184" x2="132" y2="184" class="solid"></line>
+        <line x1="156" y1="184" x2="196" y2="184" class="solid"></line>
+        <path d="M 132,196 A 4,4 0,0,0 136,200" class="nofill"></path>
+        <line x1="136" y1="200" x2="152" y2="200" class="solid"></line>
+        <path d="M 156,196 A 4,4 0,0,1 152,200" class="nofill"></path>
+    </g>
+    <g>
+        <path d="M 8,120 A 4,4 0,0,0 4,124" class="nofill"></path>
+        <line x1="4" y1="124" x2="4" y2="148" class="solid"></line>
+        <line x1="8" y1="120" x2="24" y2="120" class="solid"></line>
+        <path d="M 24,120 A 4,4 0,0,1 28,124" class="nofill"></path>
+        <line x1="28" y1="124" x2="28" y2="148" class="solid"></line>
+        <line x1="28" y1="136" x2="64" y2="136" class="broken"></line>
+        <path d="M 4,148 A 4,4 0,0,0 8,152" class="nofill"></path>
+        <line x1="8" y1="152" x2="24" y2="152" class="solid"></line>
+        <path d="M 28,148 A 4,4 0,0,1 24,152" class="nofill"></path>
+    </g>
+    <g>
+        <path d="M 8,168 A 4,4 0,0,0 4,172" class="nofill"></path>
+        <line x1="4" y1="172" x2="4" y2="196" class="solid"></line>
+        <line x1="8" y1="168" x2="24" y2="168" class="solid"></line>
+        <path d="M 24,168 A 4,4 0,0,1 28,172" class="nofill"></path>
+        <line x1="28" y1="172" x2="28" y2="196" class="solid"></line>
+        <line x1="28" y1="184" x2="64" y2="184" class="broken"></line>
+        <path d="M 4,196 A 4,4 0,0,0 8,200" class="nofill"></path>
+        <line x1="8" y1="200" x2="24" y2="200" class="solid"></line>
+        <path d="M 28,196 A 4,4 0,0,1 24,200" class="nofill"></path>
+    </g>
+    <g>
+        <path d="M 72,168 A 4,4 0,0,0 68,172" class="nofill"></path>
+        <line x1="68" y1="172" x2="68" y2="196" class="broken"></line>
+        <line x1="72" y1="168" x2="88" y2="168" class="broken"></line>
+        <path d="M 88,168 A 4,4 0,0,1 92,172" class="nofill"></path>
+        <path d="M 88,168 A 8,8 0,0,1 94,172" class="nofill"></path>
+        <line x1="92" y1="172" x2="92" y2="196" class="broken"></line>
+        <line x1="94" y1="172" x2="96" y2="176" class="solid"></line>
+        <path d="M 96,176 A 16,16 0,0,1 96,192" class="nofill"></path>
+        <path d="M 68,196 A 4,4 0,0,0 72,200" class="nofill"></path>
+        <line x1="72" y1="200" x2="88" y2="200" class="broken"></line>
+        <line x1="96" y1="192" x2="94" y2="196" class="solid"></line>
+        <path d="M 92,196 A 4,4 0,0,1 88,200" class="nofill"></path>
+        <path d="M 94,196 A 8,8 0,0,1 88,200" class="nofill"></path>
+    </g>
+    <g>
+        <path d="M 8,216 A 4,4 0,0,0 4,220" class="nofill"></path>
+        <line x1="4" y1="220" x2="4" y2="244" class="solid"></line>
+        <line x1="8" y1="216" x2="24" y2="216" class="solid"></line>
+        <path d="M 24,216 A 4,4 0,0,1 28,220" class="nofill"></path>
+        <line x1="28" y1="220" x2="28" y2="244" class="solid"></line>
+        <line x1="28" y1="232" x2="64" y2="232" class="broken"></line>
+        <path d="M 4,244 A 4,4 0,0,0 8,248" class="nofill"></path>
+        <line x1="8" y1="248" x2="24" y2="248" class="solid"></line>
+        <path d="M 28,244 A 4,4 0,0,1 24,248" class="nofill"></path>
+    </g>
+    <g>
+        <path d="M 136,216 A 4,4 0,0,0 132,220" class="nofill"></path>
+        <line x1="132" y1="220" x2="132" y2="244" class="solid"></line>
+        <line x1="136" y1="216" x2="152" y2="216" class="solid"></line>
+        <path d="M 152,216 A 4,4 0,0,1 156,220" class="nofill"></path>
+        <line x1="156" y1="220" x2="156" y2="244" class="solid"></line>
+        <line x1="96" y1="232" x2="132" y2="232" class="solid"></line>
+        <path d="M 132,244 A 4,4 0,0,0 136,248" class="nofill"></path>
+        <line x1="136" y1="248" x2="152" y2="248" class="solid"></line>
+        <path d="M 156,244 A 4,4 0,0,1 152,248" class="nofill"></path>
+        <path d="M 200,216 A 4,4 0,0,0 196,220" class="nofill"></path>
+        <line x1="196" y1="220" x2="196" y2="276" class="solid"></line>
+        <line x1="200" y1="216" x2="216" y2="216" class="solid"></line>
+        <path d="M 216,216 A 4,4 0,0,1 220,220" class="nofill"></path>
+        <line x1="220" y1="220" x2="220" y2="276" class="solid"></line>
+        <line x1="156" y1="232" x2="196" y2="232" class="solid"></line>
+        <line x1="172" y1="232" x2="172" y2="260" class="solid"></line>
+        <line x1="172" y1="248" x2="196" y2="248" class="solid"></line>
+        <path d="M 172,260 A 4,4 0,0,0 176,264" class="nofill"></path>
+        <line x1="176" y1="264" x2="196" y2="264" class="solid"></line>
+        <path d="M 196,276 A 4,4 0,0,0 200,280" class="nofill"></path>
+        <line x1="200" y1="280" x2="216" y2="280" class="solid"></line>
+        <path d="M 220,276 A 4,4 0,0,1 216,280" class="nofill"></path>
+    </g>
+</svg>
diff --git a/spz_python/.gitattributes b/spz_python/.gitattributes
new file mode 100644
index 0000000..637e4c5
--- /dev/null
+++ b/spz_python/.gitattributes
@@ -0,0 +1 @@
+spz/_version.py export-subst
diff --git a/spz_python/LICENSE b/spz_python/LICENSE
new file mode 100644
index 0000000..a0cba38
--- /dev/null
+++ b/spz_python/LICENSE
@@ -0,0 +1,29 @@
+BSD 3-Clause License
+
+Copyright (c) 2022, GraphBLAS
+All rights reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions are met:
+
+1. Redistributions of source code must retain the above copyright notice, this
+   list of conditions and the following disclaimer.
+
+2. Redistributions in binary form must reproduce the above copyright notice,
+   this list of conditions and the following disclaimer in the documentation
+   and/or other materials provided with the distribution.
+
+3. Neither the name of the copyright holder nor the names of its
+   contributors may be used to endorse or promote products derived from
+   this software without specific prior written permission.
+
+THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
+AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
+DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE
+FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR
+SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY,
+OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
+OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
diff --git a/spz_python/MANIFEST.in b/spz_python/MANIFEST.in
new file mode 100644
index 0000000..fa655e9
--- /dev/null
+++ b/spz_python/MANIFEST.in
@@ -0,0 +1,6 @@
+recursive-include spz *.py
+include setup.py
+include README.md
+include LICENSE
+include MANIFEST.in
+include versioneer.py
diff --git a/spz_python/README.md b/spz_python/README.md
new file mode 100644
index 0000000..e69de29
diff --git a/spz_python/conftest.py b/spz_python/conftest.py
new file mode 100644
index 0000000..b6f5cc2
--- /dev/null
+++ b/spz_python/conftest.py
@@ -0,0 +1,2 @@
+def pytest_addoption(parser):
+    parser.addoption("--runslow", default=None, action="store_true", help="run slow tests")
diff --git a/spz_python/notebooks/Example_Rank4.ipynb b/spz_python/notebooks/Example_Rank4.ipynb
new file mode 100644
index 0000000..c2f760e
--- /dev/null
+++ b/spz_python/notebooks/Example_Rank4.ipynb
@@ -0,0 +1,18689 @@
+{
+ "cells": [
+  {
+   "cell_type": "markdown",
+   "id": "1d023620",
+   "metadata": {},
+   "source": [
+    "# Examples for rank 4 array\n",
+    "\n",
+    "Pass COO-like data to `SPZ` with one array of indices for each dimension.\n",
+    "\n",
+    "The default is to create CSF sparse data structure where all but the last dimension are doubly compressed."
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 1,
+   "id": "3f4ad63f",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "image/svg+xml": [
+       "<svg xmlns=\"http://www.w3.org/2000/svg\" width=\"240\" height=\"304\">\n",
+       "    <style>line, path, circle,rect,polygon {\n",
+       "                          stroke: black;\n",
+       "                          stroke-width: 2;\n",
+       "                          stroke-opacity: 1;\n",
+       "                          fill-opacity: 1;\n",
+       "                          stroke-linecap: round;\n",
+       "                          stroke-linejoin: miter;\n",
+       "                        }\n",
+       "\n",
+       "                    text {\n",
+       "                        /* This fix the spacing bug in svg text*/\n",
+       "                        white-space: pre;\n",
+       "                        fill: black;\n",
+       "                        }\n",
+       "                        rect.backdrop{\n",
+       "                            stroke: none;\n",
+       "                            fill: white;\n",
+       "                        }\n",
+       "                        .broken{\n",
+       "                            stroke-dasharray: 8;\n",
+       "                        }\n",
+       "                        .filled{\n",
+       "                            fill: black;\n",
+       "                        }\n",
+       "                        .bg_filled{\n",
+       "                            fill: white;\n",
+       "                        }\n",
+       "                        .nofill{\n",
+       "                            fill: white;\n",
+       "                        }\n",
+       "\n",
+       "                        text {\n",
+       "                         font-family: monospace;\n",
+       "                         font-size: 14px;\n",
+       "                        }\n",
+       "\n",
+       "                        .end_marked_arrow{\n",
+       "                            marker-end: url(#arrow);\n",
+       "                         }\n",
+       "                        .start_marked_arrow{\n",
+       "                            marker-start: url(#arrow);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_diamond{\n",
+       "                            marker-end: url(#diamond);\n",
+       "                         }\n",
+       "                        .start_marked_diamond{\n",
+       "                            marker-start: url(#diamond);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_circle{\n",
+       "                            marker-end: url(#circle);\n",
+       "                         }\n",
+       "                        .start_marked_circle{\n",
+       "                            marker-start: url(#circle);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_open_circle{\n",
+       "                            marker-end: url(#open_circle);\n",
+       "                         }\n",
+       "                        .start_marked_open_circle{\n",
+       "                            marker-start: url(#open_circle);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_big_open_circle{\n",
+       "                            marker-end: url(#big_open_circle);\n",
+       "                         }\n",
+       "                        .start_marked_big_open_circle{\n",
+       "                            marker-start: url(#big_open_circle);\n",
+       "                         }\n",
+       "\n",
+       "                         \n",
+       "                        </style>\n",
+       "    <defs>\n",
+       "        <marker id=\"arrow\" viewBox=\"-2 -2 8 8\" refX=\"4\" refY=\"2\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <polygon points=\"0,0 0,4 4,2 0,0\"></polygon>\n",
+       "        </marker>\n",
+       "        <marker id=\"diamond\" viewBox=\"-2 -2 8 8\" refX=\"4\" refY=\"2\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <polygon points=\"0,2 2,0 4,2 2,4 0,2\"></polygon>\n",
+       "        </marker>\n",
+       "        <marker id=\"circle\" viewBox=\"0 0 8 8\" refX=\"4\" refY=\"4\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <circle cx=\"4\" cy=\"4\" r=\"2\" class=\"filled\"></circle>\n",
+       "        </marker>\n",
+       "        <marker id=\"open_circle\" viewBox=\"0 0 8 8\" refX=\"4\" refY=\"4\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <circle cx=\"4\" cy=\"4\" r=\"2\" class=\"bg_filled\"></circle>\n",
+       "        </marker>\n",
+       "        <marker id=\"big_open_circle\" viewBox=\"0 0 8 8\" refX=\"4\" refY=\"4\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <circle cx=\"4\" cy=\"4\" r=\"3\" class=\"bg_filled\"></circle>\n",
+       "        </marker>\n",
+       "    </defs>\n",
+       "    <rect x=\"4\" y=\"8\" width=\"32\" height=\"32\" class=\"solid nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"10\" y=\"28\" >i0</text>\n",
+       "    <rect x=\"68\" y=\"8\" width=\"32\" height=\"32\" class=\"solid nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"74\" y=\"28\" >i1</text>\n",
+       "    <rect x=\"132\" y=\"8\" width=\"32\" height=\"32\" class=\"solid nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"138\" y=\"28\" >i2</text>\n",
+       "    <rect x=\"196\" y=\"8\" width=\"32\" height=\"32\" class=\"solid nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"202\" y=\"28\" >i3</text>\n",
+       "    <text x=\"42\" y=\"28\" >p0</text>\n",
+       "    <text x=\"106\" y=\"28\" >p1</text>\n",
+       "    <text x=\"170\" y=\"28\" >p2</text>\n",
+       "    <line x1=\"0\" y1=\"54\" x2=\"232\" y2=\"54\" class=\"solid\"></line>\n",
+       "    <line x1=\"0\" y1=\"58\" x2=\"232\" y2=\"58\" class=\"solid\"></line>\n",
+       "    <text x=\"50\" y=\"76\" >0</text>\n",
+       "    <text x=\"114\" y=\"76\" >0</text>\n",
+       "    <text x=\"178\" y=\"76\" >0</text>\n",
+       "    <text x=\"10\" y=\"92\" >0</text>\n",
+       "    <text x=\"74\" y=\"92\" >0</text>\n",
+       "    <text x=\"138\" y=\"92\" >0</text>\n",
+       "    <text x=\"202\" y=\"92\" >1</text>\n",
+       "    <text x=\"114\" y=\"108\" >1</text>\n",
+       "    <text x=\"202\" y=\"108\" >2</text>\n",
+       "    <text x=\"178\" y=\"124\" >2</text>\n",
+       "    <text x=\"74\" y=\"140\" >1</text>\n",
+       "    <text x=\"138\" y=\"140\" >0</text>\n",
+       "    <text x=\"202\" y=\"140\" >0</text>\n",
+       "    <text x=\"50\" y=\"156\" >2</text>\n",
+       "    <text x=\"202\" y=\"156\" >2</text>\n",
+       "    <text x=\"178\" y=\"172\" >4</text>\n",
+       "    <text x=\"138\" y=\"188\" >1</text>\n",
+       "    <text x=\"202\" y=\"188\" >0</text>\n",
+       "    <text x=\"114\" y=\"204\" >3</text>\n",
+       "    <text x=\"178\" y=\"204\" >5</text>\n",
+       "    <text x=\"10\" y=\"236\" >1</text>\n",
+       "    <text x=\"74\" y=\"236\" >1</text>\n",
+       "    <text x=\"138\" y=\"236\" >1</text>\n",
+       "    <text x=\"202\" y=\"236\" >0</text>\n",
+       "    <text x=\"50\" y=\"252\" >3</text>\n",
+       "    <text x=\"114\" y=\"252\" >4</text>\n",
+       "    <text x=\"202\" y=\"252\" >1</text>\n",
+       "    <text x=\"202\" y=\"268\" >2</text>\n",
+       "    <text x=\"178\" y=\"284\" >8</text>\n",
+       "    <g>\n",
+       "        <path d=\"M 8,72 A 4,4 0,0,0 4,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"4\" y1=\"76\" x2=\"4\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"8\" y1=\"72\" x2=\"24\" y2=\"72\" class=\"solid\"></line>\n",
+       "        <path d=\"M 24,72 A 4,4 0,0,1 28,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"28\" y1=\"76\" x2=\"28\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <path d=\"M 4,100 A 4,4 0,0,0 8,104\" class=\"nofill\"></path>\n",
+       "        <line x1=\"8\" y1=\"104\" x2=\"24\" y2=\"104\" class=\"solid\"></line>\n",
+       "        <path d=\"M 28,100 A 4,4 0,0,1 24,104\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 72,72 A 4,4 0,0,0 68,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"68\" y1=\"76\" x2=\"68\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"72\" y1=\"72\" x2=\"88\" y2=\"72\" class=\"solid\"></line>\n",
+       "        <path d=\"M 88,72 A 4,4 0,0,1 92,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"92\" y1=\"76\" x2=\"92\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"28\" y1=\"88\" x2=\"68\" y2=\"88\" class=\"solid\"></line>\n",
+       "        <line x1=\"44\" y1=\"88\" x2=\"44\" y2=\"132\" class=\"solid\"></line>\n",
+       "        <path d=\"M 68,100 A 4,4 0,0,0 72,104\" class=\"nofill\"></path>\n",
+       "        <line x1=\"72\" y1=\"104\" x2=\"88\" y2=\"104\" class=\"solid\"></line>\n",
+       "        <path d=\"M 92,100 A 4,4 0,0,1 88,104\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 44,132 A 4,4 0,0,0 48,136\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 136,72 A 4,4 0,0,0 132,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"76\" x2=\"132\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"136\" y1=\"72\" x2=\"152\" y2=\"72\" class=\"solid\"></line>\n",
+       "        <path d=\"M 152,72 A 4,4 0,0,1 156,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"76\" x2=\"156\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"92\" y1=\"88\" x2=\"132\" y2=\"88\" class=\"solid\"></line>\n",
+       "        <path d=\"M 132,100 A 4,4 0,0,0 136,104\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"104\" x2=\"152\" y2=\"104\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,100 A 4,4 0,0,1 152,104\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 200,72 A 4,4 0,0,0 196,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"76\" x2=\"196\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"72\" x2=\"216\" y2=\"72\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,72 A 4,4 0,0,1 220,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"76\" x2=\"220\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <line x1=\"156\" y1=\"88\" x2=\"196\" y2=\"88\" class=\"solid\"></line>\n",
+       "        <line x1=\"172\" y1=\"88\" x2=\"172\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <path d=\"M 172,100 A 4,4 0,0,0 176,104\" class=\"nofill\"></path>\n",
+       "        <line x1=\"176\" y1=\"104\" x2=\"196\" y2=\"104\" class=\"solid\"></line>\n",
+       "        <line x1=\"196\" y1=\"120\" x2=\"220\" y2=\"120\" class=\"solid\"></line>\n",
+       "        <line x1=\"196\" y1=\"168\" x2=\"220\" y2=\"168\" class=\"solid\"></line>\n",
+       "        <path d=\"M 196,196 A 4,4 0,0,0 200,200\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"200\" x2=\"216\" y2=\"200\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,196 A 4,4 0,0,1 216,200\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 72,120 A 4,4 0,0,0 68,124\" class=\"nofill\"></path>\n",
+       "        <line x1=\"68\" y1=\"124\" x2=\"68\" y2=\"148\" class=\"solid\"></line>\n",
+       "        <line x1=\"72\" y1=\"120\" x2=\"88\" y2=\"120\" class=\"solid\"></line>\n",
+       "        <path d=\"M 88,120 A 4,4 0,0,1 92,124\" class=\"nofill\"></path>\n",
+       "        <line x1=\"92\" y1=\"124\" x2=\"92\" y2=\"148\" class=\"solid\"></line>\n",
+       "        <line x1=\"48\" y1=\"136\" x2=\"68\" y2=\"136\" class=\"solid\"></line>\n",
+       "        <path d=\"M 68,148 A 4,4 0,0,0 72,152\" class=\"nofill\"></path>\n",
+       "        <line x1=\"72\" y1=\"152\" x2=\"88\" y2=\"152\" class=\"solid\"></line>\n",
+       "        <path d=\"M 92,148 A 4,4 0,0,1 88,152\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 136,120 A 4,4 0,0,0 132,124\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"124\" x2=\"132\" y2=\"148\" class=\"solid\"></line>\n",
+       "        <line x1=\"136\" y1=\"120\" x2=\"152\" y2=\"120\" class=\"solid\"></line>\n",
+       "        <path d=\"M 152,120 A 4,4 0,0,1 156,124\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"124\" x2=\"156\" y2=\"148\" class=\"solid\"></line>\n",
+       "        <line x1=\"92\" y1=\"136\" x2=\"132\" y2=\"136\" class=\"solid\"></line>\n",
+       "        <line x1=\"108\" y1=\"136\" x2=\"108\" y2=\"180\" class=\"solid\"></line>\n",
+       "        <line x1=\"156\" y1=\"136\" x2=\"196\" y2=\"136\" class=\"solid\"></line>\n",
+       "        <line x1=\"172\" y1=\"136\" x2=\"172\" y2=\"148\" class=\"solid\"></line>\n",
+       "        <path d=\"M 132,148 A 4,4 0,0,0 136,152\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"152\" x2=\"152\" y2=\"152\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,148 A 4,4 0,0,1 152,152\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 172,148 A 4,4 0,0,0 176,152\" class=\"nofill\"></path>\n",
+       "        <line x1=\"176\" y1=\"152\" x2=\"196\" y2=\"152\" class=\"solid\"></line>\n",
+       "        <path d=\"M 108,180 A 4,4 0,0,0 112,184\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 136,168 A 4,4 0,0,0 132,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"172\" x2=\"132\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <line x1=\"136\" y1=\"168\" x2=\"152\" y2=\"168\" class=\"solid\"></line>\n",
+       "        <path d=\"M 152,168 A 4,4 0,0,1 156,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"172\" x2=\"156\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <line x1=\"112\" y1=\"184\" x2=\"132\" y2=\"184\" class=\"solid\"></line>\n",
+       "        <line x1=\"156\" y1=\"184\" x2=\"196\" y2=\"184\" class=\"solid\"></line>\n",
+       "        <path d=\"M 132,196 A 4,4 0,0,0 136,200\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"200\" x2=\"152\" y2=\"200\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,196 A 4,4 0,0,1 152,200\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 8,216 A 4,4 0,0,0 4,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"4\" y1=\"220\" x2=\"4\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <line x1=\"8\" y1=\"216\" x2=\"24\" y2=\"216\" class=\"solid\"></line>\n",
+       "        <path d=\"M 24,216 A 4,4 0,0,1 28,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"28\" y1=\"220\" x2=\"28\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <path d=\"M 4,244 A 4,4 0,0,0 8,248\" class=\"nofill\"></path>\n",
+       "        <line x1=\"8\" y1=\"248\" x2=\"24\" y2=\"248\" class=\"solid\"></line>\n",
+       "        <path d=\"M 28,244 A 4,4 0,0,1 24,248\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 72,216 A 4,4 0,0,0 68,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"68\" y1=\"220\" x2=\"68\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <line x1=\"72\" y1=\"216\" x2=\"88\" y2=\"216\" class=\"solid\"></line>\n",
+       "        <path d=\"M 88,216 A 4,4 0,0,1 92,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"92\" y1=\"220\" x2=\"92\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <line x1=\"28\" y1=\"232\" x2=\"68\" y2=\"232\" class=\"solid\"></line>\n",
+       "        <path d=\"M 68,244 A 4,4 0,0,0 72,248\" class=\"nofill\"></path>\n",
+       "        <line x1=\"72\" y1=\"248\" x2=\"88\" y2=\"248\" class=\"solid\"></line>\n",
+       "        <path d=\"M 92,244 A 4,4 0,0,1 88,248\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 136,216 A 4,4 0,0,0 132,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"220\" x2=\"132\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <line x1=\"136\" y1=\"216\" x2=\"152\" y2=\"216\" class=\"solid\"></line>\n",
+       "        <path d=\"M 152,216 A 4,4 0,0,1 156,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"220\" x2=\"156\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <line x1=\"92\" y1=\"232\" x2=\"132\" y2=\"232\" class=\"solid\"></line>\n",
+       "        <path d=\"M 132,244 A 4,4 0,0,0 136,248\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"248\" x2=\"152\" y2=\"248\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,244 A 4,4 0,0,1 152,248\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 200,216 A 4,4 0,0,0 196,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"220\" x2=\"196\" y2=\"276\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"216\" x2=\"216\" y2=\"216\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,216 A 4,4 0,0,1 220,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"220\" x2=\"220\" y2=\"276\" class=\"solid\"></line>\n",
+       "        <line x1=\"156\" y1=\"232\" x2=\"196\" y2=\"232\" class=\"solid\"></line>\n",
+       "        <line x1=\"172\" y1=\"232\" x2=\"172\" y2=\"260\" class=\"solid\"></line>\n",
+       "        <line x1=\"172\" y1=\"248\" x2=\"196\" y2=\"248\" class=\"solid\"></line>\n",
+       "        <path d=\"M 172,260 A 4,4 0,0,0 176,264\" class=\"nofill\"></path>\n",
+       "        <line x1=\"176\" y1=\"264\" x2=\"196\" y2=\"264\" class=\"solid\"></line>\n",
+       "        <path d=\"M 196,276 A 4,4 0,0,0 200,280\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"280\" x2=\"216\" y2=\"280\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,276 A 4,4 0,0,1 216,280\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "</svg>"
+      ],
+      "text/plain": [
+       ".---.   .---.   .---.   .---.\n",
+       "|i0 |p0 |i1 |p1 |i2 |p2 |i3 |\n",
+       "`---'   `---'   `---'   `---'\n",
+       "=============================\n",
+       ".--.  0 .--.  0 .--.  0 .--.\n",
+       "|0 |-+--|0 |----|0 |-+--|1 |\n",
+       "`--' |  `--'  1 `--' `--|2 |\n",
+       "     |  .--.    .--.  2 |--|\n",
+       "     `--|1 |-+--|0 |-+--|0 |\n",
+       "      2 `--' |  `--' `--|2 |\n",
+       "             |  .--.  4 |--|\n",
+       "             `--|1 |----|0 |\n",
+       "              3 `--'  5 `--'\n",
+       ".--.    .--.    .--.    .--.\n",
+       "|1 |----|1 |----|1 |-+--|0 |\n",
+       "`--'  3 `--'  4 `--' |--|1 |\n",
+       "                     `--|2 |\n",
+       "                      8 `--'"
+      ]
+     },
+     "execution_count": 1,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "from spz import SPZ\n",
+    "import itertools\n",
+    "import IPython\n",
+    "\n",
+    "indices = [\n",
+    "    [0, 0, 0, 0, 0, 1, 1, 1],\n",
+    "    [0, 0, 1, 1, 1, 1, 1, 1],\n",
+    "    [0, 0, 0, 0, 1, 1, 1, 1],\n",
+    "    [1, 2, 0, 2, 0, 0, 1, 2],\n",
+    "]\n",
+    "sp = SPZ(indices)\n",
+    "# Display as SVG diagram\n",
+    "sp"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 2,
+   "id": "833d4e98",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "[array([0, 1]),\n",
+       " array([0, 1, 1]),\n",
+       " array([0, 0, 1, 1]),\n",
+       " array([1, 2, 0, 2, 0, 0, 1, 2])]"
+      ]
+     },
+     "execution_count": 2,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "sp.indices"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 3,
+   "id": "e3399807",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "[array([0, 2, 3]), array([0, 1, 3, 4]), array([0, 2, 4, 5, 8])]"
+      ]
+     },
+     "execution_count": 3,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "sp.pointers"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 4,
+   "id": "e0bdf4f2",
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      ".---.   .---.   .---.   .---.\n",
+      "|i0 |p0 |i1 |p1 |i2 |p2 |i3 |\n",
+      "`---'   `---'   `---'   `---'\n",
+      "=============================\n",
+      ".--.  0 .--.  0 .--.  0 .--.\n",
+      "|0 |-+--|0 |----|0 |-+--|1 |\n",
+      "`--' |  `--'  1 `--' `--|2 |\n",
+      "     |  .--.    .--.  2 |--|\n",
+      "     `--|1 |-+--|0 |-+--|0 |\n",
+      "      2 `--' |  `--' `--|2 |\n",
+      "             |  .--.  4 |--|\n",
+      "             `--|1 |----|0 |\n",
+      "              3 `--'  5 `--'\n",
+      ".--.    .--.    .--.    .--.\n",
+      "|1 |----|1 |----|1 |-+--|0 |\n",
+      "`--'  3 `--'  4 `--' |--|1 |\n",
+      "                     `--|2 |\n",
+      "                      8 `--'\n"
+     ]
+    }
+   ],
+   "source": [
+    "# Can also display as ASCII diagram\n",
+    "print(sp)"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "1092fc4b",
+   "metadata": {},
+   "source": [
+    "This diagram forms a tree-like structure where the first dimension is on the left and last dimension is on the right.\n",
+    "\n",
+    "Index values are in boxes, and pointer values are next to edges.\n",
+    "\n",
+    "We can choose how each dimension is compressed:\n",
+    "- **`S`, \"sparse\"**: like COO; indices are \"aligned\" to the following dimension indices or values.\n",
+    "  - Uses: `indices_i`\n",
+    "- **`C`, \"compressed sparse\"**: like CSR; fast lookup by index into pointers to the next dimension.\n",
+    "  - Uses: `pointers_i`\n",
+    "  - Makes `pointers_{i-1}` unnecessary\n",
+    "- **`DC`, \"doubly compressed sparse\"**: like DCSR; store unique index values and pointers to the next dimension.\n",
+    "  - Uses: `pointers_i`, `indices_i`\n",
+    "\n",
+    "Currently, the final dimension must be sparse, **`S`**.\n",
+    "\n",
+    "Hence, describing the structures of **CSR, CSC, DCSR, and DCSC** give us... CSR, CSC, DCSR, and DCSC (let's address the final \"R\" and \"C\" later)."
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 5,
+   "id": "b8253a23",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "[doubly_compressed, doubly_compressed, doubly_compressed, sparse]"
+      ]
+     },
+     "execution_count": 5,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "sp.structure"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 6,
+   "id": "ec61aa11",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "'DC-DC-DC-S'"
+      ]
+     },
+     "execution_count": 6,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "sp.abbreviation"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "51842351",
+   "metadata": {},
+   "source": [
+    "## Display all sparse structures that are independent of shape\n",
+    "\n",
+    "This includes sparse structures that have no \"compressed sparse\" (**`C`**) dimensions.\n",
+    "\n",
+    "Hyphonated connecting lines indicate pointers that don't need stored."
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 7,
+   "id": "232210ab",
+   "metadata": {
+    "scrolled": false
+   },
+   "outputs": [
+    {
+     "data": {
+      "text/markdown": [
+       "# `S-S-S-S`"
+      ],
+      "text/plain": [
+       "<IPython.core.display.Markdown object>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "image/svg+xml": [
+       "<svg xmlns=\"http://www.w3.org/2000/svg\" width=\"240\" height=\"464\">\n",
+       "    <style>line, path, circle,rect,polygon {\n",
+       "                          stroke: black;\n",
+       "                          stroke-width: 2;\n",
+       "                          stroke-opacity: 1;\n",
+       "                          fill-opacity: 1;\n",
+       "                          stroke-linecap: round;\n",
+       "                          stroke-linejoin: miter;\n",
+       "                        }\n",
+       "\n",
+       "                    text {\n",
+       "                        /* This fix the spacing bug in svg text*/\n",
+       "                        white-space: pre;\n",
+       "                        fill: black;\n",
+       "                        }\n",
+       "                        rect.backdrop{\n",
+       "                            stroke: none;\n",
+       "                            fill: white;\n",
+       "                        }\n",
+       "                        .broken{\n",
+       "                            stroke-dasharray: 8;\n",
+       "                        }\n",
+       "                        .filled{\n",
+       "                            fill: black;\n",
+       "                        }\n",
+       "                        .bg_filled{\n",
+       "                            fill: white;\n",
+       "                        }\n",
+       "                        .nofill{\n",
+       "                            fill: white;\n",
+       "                        }\n",
+       "\n",
+       "                        text {\n",
+       "                         font-family: monospace;\n",
+       "                         font-size: 14px;\n",
+       "                        }\n",
+       "\n",
+       "                        .end_marked_arrow{\n",
+       "                            marker-end: url(#arrow);\n",
+       "                         }\n",
+       "                        .start_marked_arrow{\n",
+       "                            marker-start: url(#arrow);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_diamond{\n",
+       "                            marker-end: url(#diamond);\n",
+       "                         }\n",
+       "                        .start_marked_diamond{\n",
+       "                            marker-start: url(#diamond);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_circle{\n",
+       "                            marker-end: url(#circle);\n",
+       "                         }\n",
+       "                        .start_marked_circle{\n",
+       "                            marker-start: url(#circle);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_open_circle{\n",
+       "                            marker-end: url(#open_circle);\n",
+       "                         }\n",
+       "                        .start_marked_open_circle{\n",
+       "                            marker-start: url(#open_circle);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_big_open_circle{\n",
+       "                            marker-end: url(#big_open_circle);\n",
+       "                         }\n",
+       "                        .start_marked_big_open_circle{\n",
+       "                            marker-start: url(#big_open_circle);\n",
+       "                         }\n",
+       "\n",
+       "                         \n",
+       "                        </style>\n",
+       "    <defs>\n",
+       "        <marker id=\"arrow\" viewBox=\"-2 -2 8 8\" refX=\"4\" refY=\"2\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <polygon points=\"0,0 0,4 4,2 0,0\"></polygon>\n",
+       "        </marker>\n",
+       "        <marker id=\"diamond\" viewBox=\"-2 -2 8 8\" refX=\"4\" refY=\"2\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <polygon points=\"0,2 2,0 4,2 2,4 0,2\"></polygon>\n",
+       "        </marker>\n",
+       "        <marker id=\"circle\" viewBox=\"0 0 8 8\" refX=\"4\" refY=\"4\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <circle cx=\"4\" cy=\"4\" r=\"2\" class=\"filled\"></circle>\n",
+       "        </marker>\n",
+       "        <marker id=\"open_circle\" viewBox=\"0 0 8 8\" refX=\"4\" refY=\"4\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <circle cx=\"4\" cy=\"4\" r=\"2\" class=\"bg_filled\"></circle>\n",
+       "        </marker>\n",
+       "        <marker id=\"big_open_circle\" viewBox=\"0 0 8 8\" refX=\"4\" refY=\"4\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <circle cx=\"4\" cy=\"4\" r=\"3\" class=\"bg_filled\"></circle>\n",
+       "        </marker>\n",
+       "    </defs>\n",
+       "    <rect x=\"4\" y=\"8\" width=\"32\" height=\"32\" class=\"solid nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"10\" y=\"28\" >i0</text>\n",
+       "    <rect x=\"68\" y=\"8\" width=\"32\" height=\"32\" class=\"solid nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"74\" y=\"28\" >i1</text>\n",
+       "    <rect x=\"132\" y=\"8\" width=\"32\" height=\"32\" class=\"solid nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"138\" y=\"28\" >i2</text>\n",
+       "    <rect x=\"196\" y=\"8\" width=\"32\" height=\"32\" class=\"solid nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"202\" y=\"28\" >i3</text>\n",
+       "    <text x=\"42\" y=\"28\" >p0</text>\n",
+       "    <text x=\"106\" y=\"28\" >p1</text>\n",
+       "    <text x=\"170\" y=\"28\" >p2</text>\n",
+       "    <line x1=\"0\" y1=\"54\" x2=\"232\" y2=\"54\" class=\"solid\"></line>\n",
+       "    <line x1=\"0\" y1=\"58\" x2=\"232\" y2=\"58\" class=\"solid\"></line>\n",
+       "    <text x=\"50\" y=\"76\" >0</text>\n",
+       "    <text x=\"114\" y=\"76\" >0</text>\n",
+       "    <text x=\"178\" y=\"76\" >0</text>\n",
+       "    <text x=\"10\" y=\"92\" >0</text>\n",
+       "    <text x=\"74\" y=\"92\" >0</text>\n",
+       "    <text x=\"138\" y=\"92\" >0</text>\n",
+       "    <text x=\"202\" y=\"92\" >1</text>\n",
+       "    <text x=\"50\" y=\"108\" >1</text>\n",
+       "    <text x=\"114\" y=\"108\" >1</text>\n",
+       "    <text x=\"178\" y=\"108\" >1</text>\n",
+       "    <text x=\"10\" y=\"140\" >0</text>\n",
+       "    <text x=\"74\" y=\"140\" >0</text>\n",
+       "    <text x=\"138\" y=\"140\" >0</text>\n",
+       "    <text x=\"202\" y=\"140\" >2</text>\n",
+       "    <text x=\"50\" y=\"156\" >2</text>\n",
+       "    <text x=\"114\" y=\"156\" >2</text>\n",
+       "    <text x=\"178\" y=\"156\" >2</text>\n",
+       "    <text x=\"10\" y=\"188\" >0</text>\n",
+       "    <text x=\"74\" y=\"188\" >1</text>\n",
+       "    <text x=\"138\" y=\"188\" >0</text>\n",
+       "    <text x=\"202\" y=\"188\" >0</text>\n",
+       "    <text x=\"50\" y=\"204\" >3</text>\n",
+       "    <text x=\"114\" y=\"204\" >3</text>\n",
+       "    <text x=\"178\" y=\"204\" >3</text>\n",
+       "    <text x=\"10\" y=\"236\" >0</text>\n",
+       "    <text x=\"74\" y=\"236\" >1</text>\n",
+       "    <text x=\"138\" y=\"236\" >0</text>\n",
+       "    <text x=\"202\" y=\"236\" >2</text>\n",
+       "    <text x=\"50\" y=\"252\" >4</text>\n",
+       "    <text x=\"114\" y=\"252\" >4</text>\n",
+       "    <text x=\"178\" y=\"252\" >4</text>\n",
+       "    <text x=\"10\" y=\"284\" >0</text>\n",
+       "    <text x=\"74\" y=\"284\" >1</text>\n",
+       "    <text x=\"138\" y=\"284\" >1</text>\n",
+       "    <text x=\"202\" y=\"284\" >0</text>\n",
+       "    <text x=\"50\" y=\"300\" >5</text>\n",
+       "    <text x=\"114\" y=\"300\" >5</text>\n",
+       "    <text x=\"178\" y=\"300\" >5</text>\n",
+       "    <text x=\"10\" y=\"332\" >1</text>\n",
+       "    <text x=\"74\" y=\"332\" >1</text>\n",
+       "    <text x=\"138\" y=\"332\" >1</text>\n",
+       "    <text x=\"202\" y=\"332\" >0</text>\n",
+       "    <text x=\"50\" y=\"348\" >6</text>\n",
+       "    <text x=\"114\" y=\"348\" >6</text>\n",
+       "    <text x=\"178\" y=\"348\" >6</text>\n",
+       "    <text x=\"10\" y=\"380\" >1</text>\n",
+       "    <text x=\"74\" y=\"380\" >1</text>\n",
+       "    <text x=\"138\" y=\"380\" >1</text>\n",
+       "    <text x=\"202\" y=\"380\" >1</text>\n",
+       "    <text x=\"50\" y=\"396\" >7</text>\n",
+       "    <text x=\"114\" y=\"396\" >7</text>\n",
+       "    <text x=\"178\" y=\"396\" >7</text>\n",
+       "    <text x=\"10\" y=\"428\" >1</text>\n",
+       "    <text x=\"74\" y=\"428\" >1</text>\n",
+       "    <text x=\"138\" y=\"428\" >1</text>\n",
+       "    <text x=\"202\" y=\"428\" >2</text>\n",
+       "    <text x=\"50\" y=\"444\" >8</text>\n",
+       "    <text x=\"114\" y=\"444\" >8</text>\n",
+       "    <text x=\"178\" y=\"444\" >8</text>\n",
+       "    <g>\n",
+       "        <path d=\"M 8,72 A 4,4 0,0,0 4,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"4\" y1=\"76\" x2=\"4\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"8\" y1=\"72\" x2=\"24\" y2=\"72\" class=\"solid\"></line>\n",
+       "        <path d=\"M 24,72 A 4,4 0,0,1 28,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"28\" y1=\"76\" x2=\"28\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <path d=\"M 4,100 A 4,4 0,0,0 8,104\" class=\"nofill\"></path>\n",
+       "        <line x1=\"8\" y1=\"104\" x2=\"24\" y2=\"104\" class=\"solid\"></line>\n",
+       "        <path d=\"M 28,100 A 4,4 0,0,1 24,104\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 72,72 A 4,4 0,0,0 68,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"68\" y1=\"76\" x2=\"68\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"72\" y1=\"72\" x2=\"88\" y2=\"72\" class=\"solid\"></line>\n",
+       "        <path d=\"M 88,72 A 4,4 0,0,1 92,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"92\" y1=\"76\" x2=\"92\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"28\" y1=\"88\" x2=\"68\" y2=\"88\" class=\"broken\"></line>\n",
+       "        <path d=\"M 68,100 A 4,4 0,0,0 72,104\" class=\"nofill\"></path>\n",
+       "        <line x1=\"72\" y1=\"104\" x2=\"88\" y2=\"104\" class=\"solid\"></line>\n",
+       "        <path d=\"M 92,100 A 4,4 0,0,1 88,104\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 136,72 A 4,4 0,0,0 132,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"76\" x2=\"132\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"136\" y1=\"72\" x2=\"152\" y2=\"72\" class=\"solid\"></line>\n",
+       "        <path d=\"M 152,72 A 4,4 0,0,1 156,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"76\" x2=\"156\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"92\" y1=\"88\" x2=\"132\" y2=\"88\" class=\"broken\"></line>\n",
+       "        <path d=\"M 132,100 A 4,4 0,0,0 136,104\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"104\" x2=\"152\" y2=\"104\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,100 A 4,4 0,0,1 152,104\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 200,72 A 4,4 0,0,0 196,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"76\" x2=\"196\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"72\" x2=\"216\" y2=\"72\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,72 A 4,4 0,0,1 220,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"76\" x2=\"220\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"156\" y1=\"88\" x2=\"196\" y2=\"88\" class=\"broken\"></line>\n",
+       "        <path d=\"M 196,100 A 4,4 0,0,0 200,104\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"104\" x2=\"216\" y2=\"104\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,100 A 4,4 0,0,1 216,104\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 8,120 A 4,4 0,0,0 4,124\" class=\"nofill\"></path>\n",
+       "        <line x1=\"4\" y1=\"124\" x2=\"4\" y2=\"148\" class=\"solid\"></line>\n",
+       "        <line x1=\"8\" y1=\"120\" x2=\"24\" y2=\"120\" class=\"solid\"></line>\n",
+       "        <path d=\"M 24,120 A 4,4 0,0,1 28,124\" class=\"nofill\"></path>\n",
+       "        <line x1=\"28\" y1=\"124\" x2=\"28\" y2=\"148\" class=\"solid\"></line>\n",
+       "        <path d=\"M 4,148 A 4,4 0,0,0 8,152\" class=\"nofill\"></path>\n",
+       "        <line x1=\"8\" y1=\"152\" x2=\"24\" y2=\"152\" class=\"solid\"></line>\n",
+       "        <path d=\"M 28,148 A 4,4 0,0,1 24,152\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 72,120 A 4,4 0,0,0 68,124\" class=\"nofill\"></path>\n",
+       "        <line x1=\"68\" y1=\"124\" x2=\"68\" y2=\"148\" class=\"solid\"></line>\n",
+       "        <line x1=\"72\" y1=\"120\" x2=\"88\" y2=\"120\" class=\"solid\"></line>\n",
+       "        <path d=\"M 88,120 A 4,4 0,0,1 92,124\" class=\"nofill\"></path>\n",
+       "        <line x1=\"92\" y1=\"124\" x2=\"92\" y2=\"148\" class=\"solid\"></line>\n",
+       "        <line x1=\"28\" y1=\"136\" x2=\"68\" y2=\"136\" class=\"broken\"></line>\n",
+       "        <path d=\"M 68,148 A 4,4 0,0,0 72,152\" class=\"nofill\"></path>\n",
+       "        <line x1=\"72\" y1=\"152\" x2=\"88\" y2=\"152\" class=\"solid\"></line>\n",
+       "        <path d=\"M 92,148 A 4,4 0,0,1 88,152\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 136,120 A 4,4 0,0,0 132,124\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"124\" x2=\"132\" y2=\"148\" class=\"solid\"></line>\n",
+       "        <line x1=\"136\" y1=\"120\" x2=\"152\" y2=\"120\" class=\"solid\"></line>\n",
+       "        <path d=\"M 152,120 A 4,4 0,0,1 156,124\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"124\" x2=\"156\" y2=\"148\" class=\"solid\"></line>\n",
+       "        <line x1=\"92\" y1=\"136\" x2=\"132\" y2=\"136\" class=\"broken\"></line>\n",
+       "        <path d=\"M 132,148 A 4,4 0,0,0 136,152\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"152\" x2=\"152\" y2=\"152\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,148 A 4,4 0,0,1 152,152\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 200,120 A 4,4 0,0,0 196,124\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"124\" x2=\"196\" y2=\"148\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"120\" x2=\"216\" y2=\"120\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,120 A 4,4 0,0,1 220,124\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"124\" x2=\"220\" y2=\"148\" class=\"solid\"></line>\n",
+       "        <line x1=\"156\" y1=\"136\" x2=\"196\" y2=\"136\" class=\"broken\"></line>\n",
+       "        <path d=\"M 196,148 A 4,4 0,0,0 200,152\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"152\" x2=\"216\" y2=\"152\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,148 A 4,4 0,0,1 216,152\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 8,168 A 4,4 0,0,0 4,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"4\" y1=\"172\" x2=\"4\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <line x1=\"8\" y1=\"168\" x2=\"24\" y2=\"168\" class=\"solid\"></line>\n",
+       "        <path d=\"M 24,168 A 4,4 0,0,1 28,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"28\" y1=\"172\" x2=\"28\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <path d=\"M 4,196 A 4,4 0,0,0 8,200\" class=\"nofill\"></path>\n",
+       "        <line x1=\"8\" y1=\"200\" x2=\"24\" y2=\"200\" class=\"solid\"></line>\n",
+       "        <path d=\"M 28,196 A 4,4 0,0,1 24,200\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 72,168 A 4,4 0,0,0 68,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"68\" y1=\"172\" x2=\"68\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <line x1=\"72\" y1=\"168\" x2=\"88\" y2=\"168\" class=\"solid\"></line>\n",
+       "        <path d=\"M 88,168 A 4,4 0,0,1 92,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"92\" y1=\"172\" x2=\"92\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <line x1=\"28\" y1=\"184\" x2=\"68\" y2=\"184\" class=\"broken\"></line>\n",
+       "        <path d=\"M 68,196 A 4,4 0,0,0 72,200\" class=\"nofill\"></path>\n",
+       "        <line x1=\"72\" y1=\"200\" x2=\"88\" y2=\"200\" class=\"solid\"></line>\n",
+       "        <path d=\"M 92,196 A 4,4 0,0,1 88,200\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 136,168 A 4,4 0,0,0 132,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"172\" x2=\"132\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <line x1=\"136\" y1=\"168\" x2=\"152\" y2=\"168\" class=\"solid\"></line>\n",
+       "        <path d=\"M 152,168 A 4,4 0,0,1 156,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"172\" x2=\"156\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <line x1=\"92\" y1=\"184\" x2=\"132\" y2=\"184\" class=\"broken\"></line>\n",
+       "        <path d=\"M 132,196 A 4,4 0,0,0 136,200\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"200\" x2=\"152\" y2=\"200\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,196 A 4,4 0,0,1 152,200\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 200,168 A 4,4 0,0,0 196,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"172\" x2=\"196\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"168\" x2=\"216\" y2=\"168\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,168 A 4,4 0,0,1 220,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"172\" x2=\"220\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <line x1=\"156\" y1=\"184\" x2=\"196\" y2=\"184\" class=\"broken\"></line>\n",
+       "        <path d=\"M 196,196 A 4,4 0,0,0 200,200\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"200\" x2=\"216\" y2=\"200\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,196 A 4,4 0,0,1 216,200\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 8,216 A 4,4 0,0,0 4,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"4\" y1=\"220\" x2=\"4\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <line x1=\"8\" y1=\"216\" x2=\"24\" y2=\"216\" class=\"solid\"></line>\n",
+       "        <path d=\"M 24,216 A 4,4 0,0,1 28,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"28\" y1=\"220\" x2=\"28\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <path d=\"M 4,244 A 4,4 0,0,0 8,248\" class=\"nofill\"></path>\n",
+       "        <line x1=\"8\" y1=\"248\" x2=\"24\" y2=\"248\" class=\"solid\"></line>\n",
+       "        <path d=\"M 28,244 A 4,4 0,0,1 24,248\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 72,216 A 4,4 0,0,0 68,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"68\" y1=\"220\" x2=\"68\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <line x1=\"72\" y1=\"216\" x2=\"88\" y2=\"216\" class=\"solid\"></line>\n",
+       "        <path d=\"M 88,216 A 4,4 0,0,1 92,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"92\" y1=\"220\" x2=\"92\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <line x1=\"28\" y1=\"232\" x2=\"68\" y2=\"232\" class=\"broken\"></line>\n",
+       "        <path d=\"M 68,244 A 4,4 0,0,0 72,248\" class=\"nofill\"></path>\n",
+       "        <line x1=\"72\" y1=\"248\" x2=\"88\" y2=\"248\" class=\"solid\"></line>\n",
+       "        <path d=\"M 92,244 A 4,4 0,0,1 88,248\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 136,216 A 4,4 0,0,0 132,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"220\" x2=\"132\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <line x1=\"136\" y1=\"216\" x2=\"152\" y2=\"216\" class=\"solid\"></line>\n",
+       "        <path d=\"M 152,216 A 4,4 0,0,1 156,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"220\" x2=\"156\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <line x1=\"92\" y1=\"232\" x2=\"132\" y2=\"232\" class=\"broken\"></line>\n",
+       "        <path d=\"M 132,244 A 4,4 0,0,0 136,248\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"248\" x2=\"152\" y2=\"248\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,244 A 4,4 0,0,1 152,248\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 200,216 A 4,4 0,0,0 196,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"220\" x2=\"196\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"216\" x2=\"216\" y2=\"216\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,216 A 4,4 0,0,1 220,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"220\" x2=\"220\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <line x1=\"156\" y1=\"232\" x2=\"196\" y2=\"232\" class=\"broken\"></line>\n",
+       "        <path d=\"M 196,244 A 4,4 0,0,0 200,248\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"248\" x2=\"216\" y2=\"248\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,244 A 4,4 0,0,1 216,248\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 8,264 A 4,4 0,0,0 4,268\" class=\"nofill\"></path>\n",
+       "        <line x1=\"4\" y1=\"268\" x2=\"4\" y2=\"292\" class=\"solid\"></line>\n",
+       "        <line x1=\"8\" y1=\"264\" x2=\"24\" y2=\"264\" class=\"solid\"></line>\n",
+       "        <path d=\"M 24,264 A 4,4 0,0,1 28,268\" class=\"nofill\"></path>\n",
+       "        <line x1=\"28\" y1=\"268\" x2=\"28\" y2=\"292\" class=\"solid\"></line>\n",
+       "        <path d=\"M 4,292 A 4,4 0,0,0 8,296\" class=\"nofill\"></path>\n",
+       "        <line x1=\"8\" y1=\"296\" x2=\"24\" y2=\"296\" class=\"solid\"></line>\n",
+       "        <path d=\"M 28,292 A 4,4 0,0,1 24,296\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 72,264 A 4,4 0,0,0 68,268\" class=\"nofill\"></path>\n",
+       "        <line x1=\"68\" y1=\"268\" x2=\"68\" y2=\"292\" class=\"solid\"></line>\n",
+       "        <line x1=\"72\" y1=\"264\" x2=\"88\" y2=\"264\" class=\"solid\"></line>\n",
+       "        <path d=\"M 88,264 A 4,4 0,0,1 92,268\" class=\"nofill\"></path>\n",
+       "        <line x1=\"92\" y1=\"268\" x2=\"92\" y2=\"292\" class=\"solid\"></line>\n",
+       "        <line x1=\"28\" y1=\"280\" x2=\"68\" y2=\"280\" class=\"broken\"></line>\n",
+       "        <path d=\"M 68,292 A 4,4 0,0,0 72,296\" class=\"nofill\"></path>\n",
+       "        <line x1=\"72\" y1=\"296\" x2=\"88\" y2=\"296\" class=\"solid\"></line>\n",
+       "        <path d=\"M 92,292 A 4,4 0,0,1 88,296\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 136,264 A 4,4 0,0,0 132,268\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"268\" x2=\"132\" y2=\"292\" class=\"solid\"></line>\n",
+       "        <line x1=\"136\" y1=\"264\" x2=\"152\" y2=\"264\" class=\"solid\"></line>\n",
+       "        <path d=\"M 152,264 A 4,4 0,0,1 156,268\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"268\" x2=\"156\" y2=\"292\" class=\"solid\"></line>\n",
+       "        <line x1=\"92\" y1=\"280\" x2=\"132\" y2=\"280\" class=\"broken\"></line>\n",
+       "        <path d=\"M 132,292 A 4,4 0,0,0 136,296\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"296\" x2=\"152\" y2=\"296\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,292 A 4,4 0,0,1 152,296\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 200,264 A 4,4 0,0,0 196,268\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"268\" x2=\"196\" y2=\"292\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"264\" x2=\"216\" y2=\"264\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,264 A 4,4 0,0,1 220,268\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"268\" x2=\"220\" y2=\"292\" class=\"solid\"></line>\n",
+       "        <line x1=\"156\" y1=\"280\" x2=\"196\" y2=\"280\" class=\"broken\"></line>\n",
+       "        <path d=\"M 196,292 A 4,4 0,0,0 200,296\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"296\" x2=\"216\" y2=\"296\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,292 A 4,4 0,0,1 216,296\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 8,312 A 4,4 0,0,0 4,316\" class=\"nofill\"></path>\n",
+       "        <line x1=\"4\" y1=\"316\" x2=\"4\" y2=\"340\" class=\"solid\"></line>\n",
+       "        <line x1=\"8\" y1=\"312\" x2=\"24\" y2=\"312\" class=\"solid\"></line>\n",
+       "        <path d=\"M 24,312 A 4,4 0,0,1 28,316\" class=\"nofill\"></path>\n",
+       "        <line x1=\"28\" y1=\"316\" x2=\"28\" y2=\"340\" class=\"solid\"></line>\n",
+       "        <path d=\"M 4,340 A 4,4 0,0,0 8,344\" class=\"nofill\"></path>\n",
+       "        <line x1=\"8\" y1=\"344\" x2=\"24\" y2=\"344\" class=\"solid\"></line>\n",
+       "        <path d=\"M 28,340 A 4,4 0,0,1 24,344\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 72,312 A 4,4 0,0,0 68,316\" class=\"nofill\"></path>\n",
+       "        <line x1=\"68\" y1=\"316\" x2=\"68\" y2=\"340\" class=\"solid\"></line>\n",
+       "        <line x1=\"72\" y1=\"312\" x2=\"88\" y2=\"312\" class=\"solid\"></line>\n",
+       "        <path d=\"M 88,312 A 4,4 0,0,1 92,316\" class=\"nofill\"></path>\n",
+       "        <line x1=\"92\" y1=\"316\" x2=\"92\" y2=\"340\" class=\"solid\"></line>\n",
+       "        <line x1=\"28\" y1=\"328\" x2=\"68\" y2=\"328\" class=\"broken\"></line>\n",
+       "        <path d=\"M 68,340 A 4,4 0,0,0 72,344\" class=\"nofill\"></path>\n",
+       "        <line x1=\"72\" y1=\"344\" x2=\"88\" y2=\"344\" class=\"solid\"></line>\n",
+       "        <path d=\"M 92,340 A 4,4 0,0,1 88,344\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 136,312 A 4,4 0,0,0 132,316\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"316\" x2=\"132\" y2=\"340\" class=\"solid\"></line>\n",
+       "        <line x1=\"136\" y1=\"312\" x2=\"152\" y2=\"312\" class=\"solid\"></line>\n",
+       "        <path d=\"M 152,312 A 4,4 0,0,1 156,316\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"316\" x2=\"156\" y2=\"340\" class=\"solid\"></line>\n",
+       "        <line x1=\"92\" y1=\"328\" x2=\"132\" y2=\"328\" class=\"broken\"></line>\n",
+       "        <path d=\"M 132,340 A 4,4 0,0,0 136,344\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"344\" x2=\"152\" y2=\"344\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,340 A 4,4 0,0,1 152,344\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 200,312 A 4,4 0,0,0 196,316\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"316\" x2=\"196\" y2=\"340\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"312\" x2=\"216\" y2=\"312\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,312 A 4,4 0,0,1 220,316\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"316\" x2=\"220\" y2=\"340\" class=\"solid\"></line>\n",
+       "        <line x1=\"156\" y1=\"328\" x2=\"196\" y2=\"328\" class=\"broken\"></line>\n",
+       "        <path d=\"M 196,340 A 4,4 0,0,0 200,344\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"344\" x2=\"216\" y2=\"344\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,340 A 4,4 0,0,1 216,344\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 8,360 A 4,4 0,0,0 4,364\" class=\"nofill\"></path>\n",
+       "        <line x1=\"4\" y1=\"364\" x2=\"4\" y2=\"388\" class=\"solid\"></line>\n",
+       "        <line x1=\"8\" y1=\"360\" x2=\"24\" y2=\"360\" class=\"solid\"></line>\n",
+       "        <path d=\"M 24,360 A 4,4 0,0,1 28,364\" class=\"nofill\"></path>\n",
+       "        <line x1=\"28\" y1=\"364\" x2=\"28\" y2=\"388\" class=\"solid\"></line>\n",
+       "        <path d=\"M 4,388 A 4,4 0,0,0 8,392\" class=\"nofill\"></path>\n",
+       "        <line x1=\"8\" y1=\"392\" x2=\"24\" y2=\"392\" class=\"solid\"></line>\n",
+       "        <path d=\"M 28,388 A 4,4 0,0,1 24,392\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 72,360 A 4,4 0,0,0 68,364\" class=\"nofill\"></path>\n",
+       "        <line x1=\"68\" y1=\"364\" x2=\"68\" y2=\"388\" class=\"solid\"></line>\n",
+       "        <line x1=\"72\" y1=\"360\" x2=\"88\" y2=\"360\" class=\"solid\"></line>\n",
+       "        <path d=\"M 88,360 A 4,4 0,0,1 92,364\" class=\"nofill\"></path>\n",
+       "        <line x1=\"92\" y1=\"364\" x2=\"92\" y2=\"388\" class=\"solid\"></line>\n",
+       "        <line x1=\"28\" y1=\"376\" x2=\"68\" y2=\"376\" class=\"broken\"></line>\n",
+       "        <path d=\"M 68,388 A 4,4 0,0,0 72,392\" class=\"nofill\"></path>\n",
+       "        <line x1=\"72\" y1=\"392\" x2=\"88\" y2=\"392\" class=\"solid\"></line>\n",
+       "        <path d=\"M 92,388 A 4,4 0,0,1 88,392\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 136,360 A 4,4 0,0,0 132,364\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"364\" x2=\"132\" y2=\"388\" class=\"solid\"></line>\n",
+       "        <line x1=\"136\" y1=\"360\" x2=\"152\" y2=\"360\" class=\"solid\"></line>\n",
+       "        <path d=\"M 152,360 A 4,4 0,0,1 156,364\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"364\" x2=\"156\" y2=\"388\" class=\"solid\"></line>\n",
+       "        <line x1=\"92\" y1=\"376\" x2=\"132\" y2=\"376\" class=\"broken\"></line>\n",
+       "        <path d=\"M 132,388 A 4,4 0,0,0 136,392\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"392\" x2=\"152\" y2=\"392\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,388 A 4,4 0,0,1 152,392\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 200,360 A 4,4 0,0,0 196,364\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"364\" x2=\"196\" y2=\"388\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"360\" x2=\"216\" y2=\"360\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,360 A 4,4 0,0,1 220,364\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"364\" x2=\"220\" y2=\"388\" class=\"solid\"></line>\n",
+       "        <line x1=\"156\" y1=\"376\" x2=\"196\" y2=\"376\" class=\"broken\"></line>\n",
+       "        <path d=\"M 196,388 A 4,4 0,0,0 200,392\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"392\" x2=\"216\" y2=\"392\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,388 A 4,4 0,0,1 216,392\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 8,408 A 4,4 0,0,0 4,412\" class=\"nofill\"></path>\n",
+       "        <line x1=\"4\" y1=\"412\" x2=\"4\" y2=\"436\" class=\"solid\"></line>\n",
+       "        <line x1=\"8\" y1=\"408\" x2=\"24\" y2=\"408\" class=\"solid\"></line>\n",
+       "        <path d=\"M 24,408 A 4,4 0,0,1 28,412\" class=\"nofill\"></path>\n",
+       "        <line x1=\"28\" y1=\"412\" x2=\"28\" y2=\"436\" class=\"solid\"></line>\n",
+       "        <path d=\"M 4,436 A 4,4 0,0,0 8,440\" class=\"nofill\"></path>\n",
+       "        <line x1=\"8\" y1=\"440\" x2=\"24\" y2=\"440\" class=\"solid\"></line>\n",
+       "        <path d=\"M 28,436 A 4,4 0,0,1 24,440\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 72,408 A 4,4 0,0,0 68,412\" class=\"nofill\"></path>\n",
+       "        <line x1=\"68\" y1=\"412\" x2=\"68\" y2=\"436\" class=\"solid\"></line>\n",
+       "        <line x1=\"72\" y1=\"408\" x2=\"88\" y2=\"408\" class=\"solid\"></line>\n",
+       "        <path d=\"M 88,408 A 4,4 0,0,1 92,412\" class=\"nofill\"></path>\n",
+       "        <line x1=\"92\" y1=\"412\" x2=\"92\" y2=\"436\" class=\"solid\"></line>\n",
+       "        <line x1=\"28\" y1=\"424\" x2=\"68\" y2=\"424\" class=\"broken\"></line>\n",
+       "        <path d=\"M 68,436 A 4,4 0,0,0 72,440\" class=\"nofill\"></path>\n",
+       "        <line x1=\"72\" y1=\"440\" x2=\"88\" y2=\"440\" class=\"solid\"></line>\n",
+       "        <path d=\"M 92,436 A 4,4 0,0,1 88,440\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 136,408 A 4,4 0,0,0 132,412\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"412\" x2=\"132\" y2=\"436\" class=\"solid\"></line>\n",
+       "        <line x1=\"136\" y1=\"408\" x2=\"152\" y2=\"408\" class=\"solid\"></line>\n",
+       "        <path d=\"M 152,408 A 4,4 0,0,1 156,412\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"412\" x2=\"156\" y2=\"436\" class=\"solid\"></line>\n",
+       "        <line x1=\"92\" y1=\"424\" x2=\"132\" y2=\"424\" class=\"broken\"></line>\n",
+       "        <path d=\"M 132,436 A 4,4 0,0,0 136,440\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"440\" x2=\"152\" y2=\"440\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,436 A 4,4 0,0,1 152,440\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 200,408 A 4,4 0,0,0 196,412\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"412\" x2=\"196\" y2=\"436\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"408\" x2=\"216\" y2=\"408\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,408 A 4,4 0,0,1 220,412\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"412\" x2=\"220\" y2=\"436\" class=\"solid\"></line>\n",
+       "        <line x1=\"156\" y1=\"424\" x2=\"196\" y2=\"424\" class=\"broken\"></line>\n",
+       "        <path d=\"M 196,436 A 4,4 0,0,0 200,440\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"440\" x2=\"216\" y2=\"440\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,436 A 4,4 0,0,1 216,440\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "</svg>"
+      ],
+      "text/plain": [
+       ".---.   .---.   .---.   .---.\n",
+       "|i0 |p0 |i1 |p1 |i2 |p2 |i3 |\n",
+       "`---'   `---'   `---'   `---'\n",
+       "=============================\n",
+       ".--.  0 .--.  0 .--.  0 .--.\n",
+       "|0 |~~~~|0 |~~~~|0 |~~~~|1 |\n",
+       "`--'  1 `--'  1 `--'  1 `--'\n",
+       ".--.    .--.    .--.    .--.\n",
+       "|0 |~~~~|0 |~~~~|0 |~~~~|2 |\n",
+       "`--'  2 `--'  2 `--'  2 `--'\n",
+       ".--.    .--.    .--.    .--.\n",
+       "|0 |~~~~|1 |~~~~|0 |~~~~|0 |\n",
+       "`--'  3 `--'  3 `--'  3 `--'\n",
+       ".--.    .--.    .--.    .--.\n",
+       "|0 |~~~~|1 |~~~~|0 |~~~~|2 |\n",
+       "`--'  4 `--'  4 `--'  4 `--'\n",
+       ".--.    .--.    .--.    .--.\n",
+       "|0 |~~~~|1 |~~~~|1 |~~~~|0 |\n",
+       "`--'  5 `--'  5 `--'  5 `--'\n",
+       ".--.    .--.    .--.    .--.\n",
+       "|1 |~~~~|1 |~~~~|1 |~~~~|0 |\n",
+       "`--'  6 `--'  6 `--'  6 `--'\n",
+       ".--.    .--.    .--.    .--.\n",
+       "|1 |~~~~|1 |~~~~|1 |~~~~|1 |\n",
+       "`--'  7 `--'  7 `--'  7 `--'\n",
+       ".--.    .--.    .--.    .--.\n",
+       "|1 |~~~~|1 |~~~~|1 |~~~~|2 |\n",
+       "`--'  8 `--'  8 `--'  8 `--'"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "text/markdown": [
+       "# `S-S-DC-S`"
+      ],
+      "text/plain": [
+       "<IPython.core.display.Markdown object>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "image/svg+xml": [
+       "<svg xmlns=\"http://www.w3.org/2000/svg\" width=\"240\" height=\"304\">\n",
+       "    <style>line, path, circle,rect,polygon {\n",
+       "                          stroke: black;\n",
+       "                          stroke-width: 2;\n",
+       "                          stroke-opacity: 1;\n",
+       "                          fill-opacity: 1;\n",
+       "                          stroke-linecap: round;\n",
+       "                          stroke-linejoin: miter;\n",
+       "                        }\n",
+       "\n",
+       "                    text {\n",
+       "                        /* This fix the spacing bug in svg text*/\n",
+       "                        white-space: pre;\n",
+       "                        fill: black;\n",
+       "                        }\n",
+       "                        rect.backdrop{\n",
+       "                            stroke: none;\n",
+       "                            fill: white;\n",
+       "                        }\n",
+       "                        .broken{\n",
+       "                            stroke-dasharray: 8;\n",
+       "                        }\n",
+       "                        .filled{\n",
+       "                            fill: black;\n",
+       "                        }\n",
+       "                        .bg_filled{\n",
+       "                            fill: white;\n",
+       "                        }\n",
+       "                        .nofill{\n",
+       "                            fill: white;\n",
+       "                        }\n",
+       "\n",
+       "                        text {\n",
+       "                         font-family: monospace;\n",
+       "                         font-size: 14px;\n",
+       "                        }\n",
+       "\n",
+       "                        .end_marked_arrow{\n",
+       "                            marker-end: url(#arrow);\n",
+       "                         }\n",
+       "                        .start_marked_arrow{\n",
+       "                            marker-start: url(#arrow);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_diamond{\n",
+       "                            marker-end: url(#diamond);\n",
+       "                         }\n",
+       "                        .start_marked_diamond{\n",
+       "                            marker-start: url(#diamond);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_circle{\n",
+       "                            marker-end: url(#circle);\n",
+       "                         }\n",
+       "                        .start_marked_circle{\n",
+       "                            marker-start: url(#circle);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_open_circle{\n",
+       "                            marker-end: url(#open_circle);\n",
+       "                         }\n",
+       "                        .start_marked_open_circle{\n",
+       "                            marker-start: url(#open_circle);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_big_open_circle{\n",
+       "                            marker-end: url(#big_open_circle);\n",
+       "                         }\n",
+       "                        .start_marked_big_open_circle{\n",
+       "                            marker-start: url(#big_open_circle);\n",
+       "                         }\n",
+       "\n",
+       "                         \n",
+       "                        </style>\n",
+       "    <defs>\n",
+       "        <marker id=\"arrow\" viewBox=\"-2 -2 8 8\" refX=\"4\" refY=\"2\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <polygon points=\"0,0 0,4 4,2 0,0\"></polygon>\n",
+       "        </marker>\n",
+       "        <marker id=\"diamond\" viewBox=\"-2 -2 8 8\" refX=\"4\" refY=\"2\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <polygon points=\"0,2 2,0 4,2 2,4 0,2\"></polygon>\n",
+       "        </marker>\n",
+       "        <marker id=\"circle\" viewBox=\"0 0 8 8\" refX=\"4\" refY=\"4\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <circle cx=\"4\" cy=\"4\" r=\"2\" class=\"filled\"></circle>\n",
+       "        </marker>\n",
+       "        <marker id=\"open_circle\" viewBox=\"0 0 8 8\" refX=\"4\" refY=\"4\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <circle cx=\"4\" cy=\"4\" r=\"2\" class=\"bg_filled\"></circle>\n",
+       "        </marker>\n",
+       "        <marker id=\"big_open_circle\" viewBox=\"0 0 8 8\" refX=\"4\" refY=\"4\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <circle cx=\"4\" cy=\"4\" r=\"3\" class=\"bg_filled\"></circle>\n",
+       "        </marker>\n",
+       "    </defs>\n",
+       "    <rect x=\"4\" y=\"8\" width=\"32\" height=\"32\" class=\"solid nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"10\" y=\"28\" >i0</text>\n",
+       "    <rect x=\"68\" y=\"8\" width=\"32\" height=\"32\" class=\"solid nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"74\" y=\"28\" >i1</text>\n",
+       "    <rect x=\"132\" y=\"8\" width=\"32\" height=\"32\" class=\"solid nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"138\" y=\"28\" >i2</text>\n",
+       "    <rect x=\"196\" y=\"8\" width=\"32\" height=\"32\" class=\"solid nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"202\" y=\"28\" >i3</text>\n",
+       "    <text x=\"42\" y=\"28\" >p0</text>\n",
+       "    <text x=\"106\" y=\"28\" >p1</text>\n",
+       "    <text x=\"170\" y=\"28\" >p2</text>\n",
+       "    <line x1=\"0\" y1=\"54\" x2=\"232\" y2=\"54\" class=\"solid\"></line>\n",
+       "    <line x1=\"0\" y1=\"58\" x2=\"232\" y2=\"58\" class=\"solid\"></line>\n",
+       "    <text x=\"50\" y=\"76\" >0</text>\n",
+       "    <text x=\"114\" y=\"76\" >0</text>\n",
+       "    <text x=\"178\" y=\"76\" >0</text>\n",
+       "    <text x=\"10\" y=\"92\" >0</text>\n",
+       "    <text x=\"74\" y=\"92\" >0</text>\n",
+       "    <text x=\"138\" y=\"92\" >0</text>\n",
+       "    <text x=\"202\" y=\"92\" >1</text>\n",
+       "    <text x=\"50\" y=\"108\" >1</text>\n",
+       "    <text x=\"114\" y=\"108\" >1</text>\n",
+       "    <text x=\"202\" y=\"108\" >2</text>\n",
+       "    <text x=\"178\" y=\"124\" >2</text>\n",
+       "    <text x=\"10\" y=\"140\" >0</text>\n",
+       "    <text x=\"74\" y=\"140\" >1</text>\n",
+       "    <text x=\"138\" y=\"140\" >0</text>\n",
+       "    <text x=\"202\" y=\"140\" >0</text>\n",
+       "    <text x=\"50\" y=\"156\" >2</text>\n",
+       "    <text x=\"114\" y=\"156\" >2</text>\n",
+       "    <text x=\"202\" y=\"156\" >2</text>\n",
+       "    <text x=\"178\" y=\"172\" >4</text>\n",
+       "    <text x=\"10\" y=\"188\" >0</text>\n",
+       "    <text x=\"74\" y=\"188\" >1</text>\n",
+       "    <text x=\"138\" y=\"188\" >1</text>\n",
+       "    <text x=\"202\" y=\"188\" >0</text>\n",
+       "    <text x=\"50\" y=\"204\" >3</text>\n",
+       "    <text x=\"114\" y=\"204\" >3</text>\n",
+       "    <text x=\"178\" y=\"204\" >5</text>\n",
+       "    <text x=\"10\" y=\"236\" >1</text>\n",
+       "    <text x=\"74\" y=\"236\" >1</text>\n",
+       "    <text x=\"138\" y=\"236\" >1</text>\n",
+       "    <text x=\"202\" y=\"236\" >0</text>\n",
+       "    <text x=\"50\" y=\"252\" >4</text>\n",
+       "    <text x=\"114\" y=\"252\" >4</text>\n",
+       "    <text x=\"202\" y=\"252\" >1</text>\n",
+       "    <text x=\"202\" y=\"268\" >2</text>\n",
+       "    <text x=\"178\" y=\"284\" >8</text>\n",
+       "    <g>\n",
+       "        <path d=\"M 8,72 A 4,4 0,0,0 4,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"4\" y1=\"76\" x2=\"4\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"8\" y1=\"72\" x2=\"24\" y2=\"72\" class=\"solid\"></line>\n",
+       "        <path d=\"M 24,72 A 4,4 0,0,1 28,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"28\" y1=\"76\" x2=\"28\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <path d=\"M 4,100 A 4,4 0,0,0 8,104\" class=\"nofill\"></path>\n",
+       "        <line x1=\"8\" y1=\"104\" x2=\"24\" y2=\"104\" class=\"solid\"></line>\n",
+       "        <path d=\"M 28,100 A 4,4 0,0,1 24,104\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 72,72 A 4,4 0,0,0 68,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"68\" y1=\"76\" x2=\"68\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"72\" y1=\"72\" x2=\"88\" y2=\"72\" class=\"solid\"></line>\n",
+       "        <path d=\"M 88,72 A 4,4 0,0,1 92,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"92\" y1=\"76\" x2=\"92\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"28\" y1=\"88\" x2=\"68\" y2=\"88\" class=\"broken\"></line>\n",
+       "        <path d=\"M 68,100 A 4,4 0,0,0 72,104\" class=\"nofill\"></path>\n",
+       "        <line x1=\"72\" y1=\"104\" x2=\"88\" y2=\"104\" class=\"solid\"></line>\n",
+       "        <path d=\"M 92,100 A 4,4 0,0,1 88,104\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 136,72 A 4,4 0,0,0 132,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"76\" x2=\"132\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"136\" y1=\"72\" x2=\"152\" y2=\"72\" class=\"solid\"></line>\n",
+       "        <path d=\"M 152,72 A 4,4 0,0,1 156,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"76\" x2=\"156\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"92\" y1=\"88\" x2=\"132\" y2=\"88\" class=\"broken\"></line>\n",
+       "        <path d=\"M 132,100 A 4,4 0,0,0 136,104\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"104\" x2=\"152\" y2=\"104\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,100 A 4,4 0,0,1 152,104\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 200,72 A 4,4 0,0,0 196,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"76\" x2=\"196\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"72\" x2=\"216\" y2=\"72\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,72 A 4,4 0,0,1 220,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"76\" x2=\"220\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <line x1=\"156\" y1=\"88\" x2=\"196\" y2=\"88\" class=\"solid\"></line>\n",
+       "        <line x1=\"172\" y1=\"88\" x2=\"172\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <path d=\"M 172,100 A 4,4 0,0,0 176,104\" class=\"nofill\"></path>\n",
+       "        <line x1=\"176\" y1=\"104\" x2=\"196\" y2=\"104\" class=\"solid\"></line>\n",
+       "        <line x1=\"196\" y1=\"120\" x2=\"220\" y2=\"120\" class=\"solid\"></line>\n",
+       "        <line x1=\"196\" y1=\"168\" x2=\"220\" y2=\"168\" class=\"solid\"></line>\n",
+       "        <path d=\"M 196,196 A 4,4 0,0,0 200,200\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"200\" x2=\"216\" y2=\"200\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,196 A 4,4 0,0,1 216,200\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 136,120 A 4,4 0,0,0 132,124\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"124\" x2=\"132\" y2=\"148\" class=\"solid\"></line>\n",
+       "        <line x1=\"136\" y1=\"120\" x2=\"152\" y2=\"120\" class=\"solid\"></line>\n",
+       "        <path d=\"M 152,120 A 4,4 0,0,1 156,124\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"124\" x2=\"156\" y2=\"148\" class=\"solid\"></line>\n",
+       "        <line x1=\"92\" y1=\"136\" x2=\"132\" y2=\"136\" class=\"broken\"></line>\n",
+       "        <line x1=\"156\" y1=\"136\" x2=\"196\" y2=\"136\" class=\"solid\"></line>\n",
+       "        <line x1=\"172\" y1=\"136\" x2=\"172\" y2=\"148\" class=\"solid\"></line>\n",
+       "        <path d=\"M 132,148 A 4,4 0,0,0 136,152\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"152\" x2=\"152\" y2=\"152\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,148 A 4,4 0,0,1 152,152\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 172,148 A 4,4 0,0,0 176,152\" class=\"nofill\"></path>\n",
+       "        <line x1=\"176\" y1=\"152\" x2=\"196\" y2=\"152\" class=\"solid\"></line>\n",
+       "        <path d=\"M 136,168 A 4,4 0,0,0 132,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"172\" x2=\"132\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <line x1=\"136\" y1=\"168\" x2=\"152\" y2=\"168\" class=\"solid\"></line>\n",
+       "        <path d=\"M 152,168 A 4,4 0,0,1 156,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"172\" x2=\"156\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <line x1=\"92\" y1=\"184\" x2=\"132\" y2=\"184\" class=\"broken\"></line>\n",
+       "        <line x1=\"156\" y1=\"184\" x2=\"196\" y2=\"184\" class=\"solid\"></line>\n",
+       "        <path d=\"M 132,196 A 4,4 0,0,0 136,200\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"200\" x2=\"152\" y2=\"200\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,196 A 4,4 0,0,1 152,200\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 8,120 A 4,4 0,0,0 4,124\" class=\"nofill\"></path>\n",
+       "        <line x1=\"4\" y1=\"124\" x2=\"4\" y2=\"148\" class=\"solid\"></line>\n",
+       "        <line x1=\"8\" y1=\"120\" x2=\"24\" y2=\"120\" class=\"solid\"></line>\n",
+       "        <path d=\"M 24,120 A 4,4 0,0,1 28,124\" class=\"nofill\"></path>\n",
+       "        <line x1=\"28\" y1=\"124\" x2=\"28\" y2=\"148\" class=\"solid\"></line>\n",
+       "        <path d=\"M 4,148 A 4,4 0,0,0 8,152\" class=\"nofill\"></path>\n",
+       "        <line x1=\"8\" y1=\"152\" x2=\"24\" y2=\"152\" class=\"solid\"></line>\n",
+       "        <path d=\"M 28,148 A 4,4 0,0,1 24,152\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 72,120 A 4,4 0,0,0 68,124\" class=\"nofill\"></path>\n",
+       "        <line x1=\"68\" y1=\"124\" x2=\"68\" y2=\"148\" class=\"solid\"></line>\n",
+       "        <line x1=\"72\" y1=\"120\" x2=\"88\" y2=\"120\" class=\"solid\"></line>\n",
+       "        <path d=\"M 88,120 A 4,4 0,0,1 92,124\" class=\"nofill\"></path>\n",
+       "        <line x1=\"92\" y1=\"124\" x2=\"92\" y2=\"148\" class=\"solid\"></line>\n",
+       "        <line x1=\"28\" y1=\"136\" x2=\"68\" y2=\"136\" class=\"broken\"></line>\n",
+       "        <path d=\"M 68,148 A 4,4 0,0,0 72,152\" class=\"nofill\"></path>\n",
+       "        <line x1=\"72\" y1=\"152\" x2=\"88\" y2=\"152\" class=\"solid\"></line>\n",
+       "        <path d=\"M 92,148 A 4,4 0,0,1 88,152\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 8,168 A 4,4 0,0,0 4,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"4\" y1=\"172\" x2=\"4\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <line x1=\"8\" y1=\"168\" x2=\"24\" y2=\"168\" class=\"solid\"></line>\n",
+       "        <path d=\"M 24,168 A 4,4 0,0,1 28,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"28\" y1=\"172\" x2=\"28\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <path d=\"M 4,196 A 4,4 0,0,0 8,200\" class=\"nofill\"></path>\n",
+       "        <line x1=\"8\" y1=\"200\" x2=\"24\" y2=\"200\" class=\"solid\"></line>\n",
+       "        <path d=\"M 28,196 A 4,4 0,0,1 24,200\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 72,168 A 4,4 0,0,0 68,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"68\" y1=\"172\" x2=\"68\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <line x1=\"72\" y1=\"168\" x2=\"88\" y2=\"168\" class=\"solid\"></line>\n",
+       "        <path d=\"M 88,168 A 4,4 0,0,1 92,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"92\" y1=\"172\" x2=\"92\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <line x1=\"28\" y1=\"184\" x2=\"68\" y2=\"184\" class=\"broken\"></line>\n",
+       "        <path d=\"M 68,196 A 4,4 0,0,0 72,200\" class=\"nofill\"></path>\n",
+       "        <line x1=\"72\" y1=\"200\" x2=\"88\" y2=\"200\" class=\"solid\"></line>\n",
+       "        <path d=\"M 92,196 A 4,4 0,0,1 88,200\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 8,216 A 4,4 0,0,0 4,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"4\" y1=\"220\" x2=\"4\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <line x1=\"8\" y1=\"216\" x2=\"24\" y2=\"216\" class=\"solid\"></line>\n",
+       "        <path d=\"M 24,216 A 4,4 0,0,1 28,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"28\" y1=\"220\" x2=\"28\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <path d=\"M 4,244 A 4,4 0,0,0 8,248\" class=\"nofill\"></path>\n",
+       "        <line x1=\"8\" y1=\"248\" x2=\"24\" y2=\"248\" class=\"solid\"></line>\n",
+       "        <path d=\"M 28,244 A 4,4 0,0,1 24,248\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 72,216 A 4,4 0,0,0 68,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"68\" y1=\"220\" x2=\"68\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <line x1=\"72\" y1=\"216\" x2=\"88\" y2=\"216\" class=\"solid\"></line>\n",
+       "        <path d=\"M 88,216 A 4,4 0,0,1 92,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"92\" y1=\"220\" x2=\"92\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <line x1=\"28\" y1=\"232\" x2=\"68\" y2=\"232\" class=\"broken\"></line>\n",
+       "        <path d=\"M 68,244 A 4,4 0,0,0 72,248\" class=\"nofill\"></path>\n",
+       "        <line x1=\"72\" y1=\"248\" x2=\"88\" y2=\"248\" class=\"solid\"></line>\n",
+       "        <path d=\"M 92,244 A 4,4 0,0,1 88,248\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 136,216 A 4,4 0,0,0 132,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"220\" x2=\"132\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <line x1=\"136\" y1=\"216\" x2=\"152\" y2=\"216\" class=\"solid\"></line>\n",
+       "        <path d=\"M 152,216 A 4,4 0,0,1 156,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"220\" x2=\"156\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <line x1=\"92\" y1=\"232\" x2=\"132\" y2=\"232\" class=\"broken\"></line>\n",
+       "        <path d=\"M 132,244 A 4,4 0,0,0 136,248\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"248\" x2=\"152\" y2=\"248\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,244 A 4,4 0,0,1 152,248\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 200,216 A 4,4 0,0,0 196,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"220\" x2=\"196\" y2=\"276\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"216\" x2=\"216\" y2=\"216\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,216 A 4,4 0,0,1 220,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"220\" x2=\"220\" y2=\"276\" class=\"solid\"></line>\n",
+       "        <line x1=\"156\" y1=\"232\" x2=\"196\" y2=\"232\" class=\"solid\"></line>\n",
+       "        <line x1=\"172\" y1=\"232\" x2=\"172\" y2=\"260\" class=\"solid\"></line>\n",
+       "        <line x1=\"172\" y1=\"248\" x2=\"196\" y2=\"248\" class=\"solid\"></line>\n",
+       "        <path d=\"M 172,260 A 4,4 0,0,0 176,264\" class=\"nofill\"></path>\n",
+       "        <line x1=\"176\" y1=\"264\" x2=\"196\" y2=\"264\" class=\"solid\"></line>\n",
+       "        <path d=\"M 196,276 A 4,4 0,0,0 200,280\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"280\" x2=\"216\" y2=\"280\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,276 A 4,4 0,0,1 216,280\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "</svg>"
+      ],
+      "text/plain": [
+       ".---.   .---.   .---.   .---.\n",
+       "|i0 |p0 |i1 |p1 |i2 |p2 |i3 |\n",
+       "`---'   `---'   `---'   `---'\n",
+       "=============================\n",
+       ".--.  0 .--.  0 .--.  0 .--.\n",
+       "|0 |~~~~|0 |~~~~|0 |-+--|1 |\n",
+       "`--'  1 `--'  1 `--' `--|2 |\n",
+       ".--.    .--.    .--.  2 |--|\n",
+       "|0 |~~~~|1 |~~~~|0 |-+--|0 |\n",
+       "`--'  2 `--'  2 `--' `--|2 |\n",
+       ".--.    .--.    .--.  4 |--|\n",
+       "|0 |~~~~|1 |~~~~|1 |----|0 |\n",
+       "`--'  3 `--'  3 `--'  5 `--'\n",
+       ".--.    .--.    .--.    .--.\n",
+       "|1 |~~~~|1 |~~~~|1 |-+--|0 |\n",
+       "`--'  4 `--'  4 `--' |--|1 |\n",
+       "                     `--|2 |\n",
+       "                      8 `--'"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "text/markdown": [
+       "# `S-DC-S-S`"
+      ],
+      "text/plain": [
+       "<IPython.core.display.Markdown object>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "image/svg+xml": [
+       "<svg xmlns=\"http://www.w3.org/2000/svg\" width=\"240\" height=\"464\">\n",
+       "    <style>line, path, circle,rect,polygon {\n",
+       "                          stroke: black;\n",
+       "                          stroke-width: 2;\n",
+       "                          stroke-opacity: 1;\n",
+       "                          fill-opacity: 1;\n",
+       "                          stroke-linecap: round;\n",
+       "                          stroke-linejoin: miter;\n",
+       "                        }\n",
+       "\n",
+       "                    text {\n",
+       "                        /* This fix the spacing bug in svg text*/\n",
+       "                        white-space: pre;\n",
+       "                        fill: black;\n",
+       "                        }\n",
+       "                        rect.backdrop{\n",
+       "                            stroke: none;\n",
+       "                            fill: white;\n",
+       "                        }\n",
+       "                        .broken{\n",
+       "                            stroke-dasharray: 8;\n",
+       "                        }\n",
+       "                        .filled{\n",
+       "                            fill: black;\n",
+       "                        }\n",
+       "                        .bg_filled{\n",
+       "                            fill: white;\n",
+       "                        }\n",
+       "                        .nofill{\n",
+       "                            fill: white;\n",
+       "                        }\n",
+       "\n",
+       "                        text {\n",
+       "                         font-family: monospace;\n",
+       "                         font-size: 14px;\n",
+       "                        }\n",
+       "\n",
+       "                        .end_marked_arrow{\n",
+       "                            marker-end: url(#arrow);\n",
+       "                         }\n",
+       "                        .start_marked_arrow{\n",
+       "                            marker-start: url(#arrow);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_diamond{\n",
+       "                            marker-end: url(#diamond);\n",
+       "                         }\n",
+       "                        .start_marked_diamond{\n",
+       "                            marker-start: url(#diamond);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_circle{\n",
+       "                            marker-end: url(#circle);\n",
+       "                         }\n",
+       "                        .start_marked_circle{\n",
+       "                            marker-start: url(#circle);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_open_circle{\n",
+       "                            marker-end: url(#open_circle);\n",
+       "                         }\n",
+       "                        .start_marked_open_circle{\n",
+       "                            marker-start: url(#open_circle);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_big_open_circle{\n",
+       "                            marker-end: url(#big_open_circle);\n",
+       "                         }\n",
+       "                        .start_marked_big_open_circle{\n",
+       "                            marker-start: url(#big_open_circle);\n",
+       "                         }\n",
+       "\n",
+       "                         \n",
+       "                        </style>\n",
+       "    <defs>\n",
+       "        <marker id=\"arrow\" viewBox=\"-2 -2 8 8\" refX=\"4\" refY=\"2\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <polygon points=\"0,0 0,4 4,2 0,0\"></polygon>\n",
+       "        </marker>\n",
+       "        <marker id=\"diamond\" viewBox=\"-2 -2 8 8\" refX=\"4\" refY=\"2\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <polygon points=\"0,2 2,0 4,2 2,4 0,2\"></polygon>\n",
+       "        </marker>\n",
+       "        <marker id=\"circle\" viewBox=\"0 0 8 8\" refX=\"4\" refY=\"4\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <circle cx=\"4\" cy=\"4\" r=\"2\" class=\"filled\"></circle>\n",
+       "        </marker>\n",
+       "        <marker id=\"open_circle\" viewBox=\"0 0 8 8\" refX=\"4\" refY=\"4\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <circle cx=\"4\" cy=\"4\" r=\"2\" class=\"bg_filled\"></circle>\n",
+       "        </marker>\n",
+       "        <marker id=\"big_open_circle\" viewBox=\"0 0 8 8\" refX=\"4\" refY=\"4\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <circle cx=\"4\" cy=\"4\" r=\"3\" class=\"bg_filled\"></circle>\n",
+       "        </marker>\n",
+       "    </defs>\n",
+       "    <rect x=\"4\" y=\"8\" width=\"32\" height=\"32\" class=\"solid nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"10\" y=\"28\" >i0</text>\n",
+       "    <rect x=\"68\" y=\"8\" width=\"32\" height=\"32\" class=\"solid nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"74\" y=\"28\" >i1</text>\n",
+       "    <rect x=\"132\" y=\"8\" width=\"32\" height=\"32\" class=\"solid nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"138\" y=\"28\" >i2</text>\n",
+       "    <rect x=\"196\" y=\"8\" width=\"32\" height=\"32\" class=\"solid nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"202\" y=\"28\" >i3</text>\n",
+       "    <text x=\"42\" y=\"28\" >p0</text>\n",
+       "    <text x=\"106\" y=\"28\" >p1</text>\n",
+       "    <text x=\"170\" y=\"28\" >p2</text>\n",
+       "    <line x1=\"0\" y1=\"54\" x2=\"232\" y2=\"54\" class=\"solid\"></line>\n",
+       "    <line x1=\"0\" y1=\"58\" x2=\"232\" y2=\"58\" class=\"solid\"></line>\n",
+       "    <text x=\"50\" y=\"76\" >0</text>\n",
+       "    <text x=\"114\" y=\"76\" >0</text>\n",
+       "    <text x=\"178\" y=\"76\" >0</text>\n",
+       "    <text x=\"10\" y=\"92\" >0</text>\n",
+       "    <text x=\"74\" y=\"92\" >0</text>\n",
+       "    <text x=\"138\" y=\"92\" >0</text>\n",
+       "    <text x=\"202\" y=\"92\" >1</text>\n",
+       "    <text x=\"50\" y=\"108\" >1</text>\n",
+       "    <text x=\"178\" y=\"108\" >1</text>\n",
+       "    <text x=\"138\" y=\"140\" >0</text>\n",
+       "    <text x=\"202\" y=\"140\" >2</text>\n",
+       "    <text x=\"114\" y=\"156\" >2</text>\n",
+       "    <text x=\"178\" y=\"156\" >2</text>\n",
+       "    <text x=\"10\" y=\"188\" >0</text>\n",
+       "    <text x=\"74\" y=\"188\" >1</text>\n",
+       "    <text x=\"138\" y=\"188\" >0</text>\n",
+       "    <text x=\"202\" y=\"188\" >0</text>\n",
+       "    <text x=\"50\" y=\"204\" >2</text>\n",
+       "    <text x=\"178\" y=\"204\" >3</text>\n",
+       "    <text x=\"138\" y=\"236\" >0</text>\n",
+       "    <text x=\"202\" y=\"236\" >2</text>\n",
+       "    <text x=\"178\" y=\"252\" >4</text>\n",
+       "    <text x=\"138\" y=\"284\" >1</text>\n",
+       "    <text x=\"202\" y=\"284\" >0</text>\n",
+       "    <text x=\"114\" y=\"300\" >5</text>\n",
+       "    <text x=\"178\" y=\"300\" >5</text>\n",
+       "    <text x=\"10\" y=\"332\" >1</text>\n",
+       "    <text x=\"74\" y=\"332\" >1</text>\n",
+       "    <text x=\"138\" y=\"332\" >1</text>\n",
+       "    <text x=\"202\" y=\"332\" >0</text>\n",
+       "    <text x=\"50\" y=\"348\" >3</text>\n",
+       "    <text x=\"178\" y=\"348\" >6</text>\n",
+       "    <text x=\"138\" y=\"380\" >1</text>\n",
+       "    <text x=\"202\" y=\"380\" >1</text>\n",
+       "    <text x=\"178\" y=\"396\" >7</text>\n",
+       "    <text x=\"138\" y=\"428\" >1</text>\n",
+       "    <text x=\"202\" y=\"428\" >2</text>\n",
+       "    <text x=\"114\" y=\"444\" >8</text>\n",
+       "    <text x=\"178\" y=\"444\" >8</text>\n",
+       "    <g>\n",
+       "        <path d=\"M 8,72 A 4,4 0,0,0 4,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"4\" y1=\"76\" x2=\"4\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"8\" y1=\"72\" x2=\"24\" y2=\"72\" class=\"solid\"></line>\n",
+       "        <path d=\"M 24,72 A 4,4 0,0,1 28,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"28\" y1=\"76\" x2=\"28\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <path d=\"M 4,100 A 4,4 0,0,0 8,104\" class=\"nofill\"></path>\n",
+       "        <line x1=\"8\" y1=\"104\" x2=\"24\" y2=\"104\" class=\"solid\"></line>\n",
+       "        <path d=\"M 28,100 A 4,4 0,0,1 24,104\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 72,72 A 4,4 0,0,0 68,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"68\" y1=\"76\" x2=\"68\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"72\" y1=\"72\" x2=\"88\" y2=\"72\" class=\"solid\"></line>\n",
+       "        <path d=\"M 88,72 A 4,4 0,0,1 92,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"92\" y1=\"76\" x2=\"92\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"28\" y1=\"88\" x2=\"68\" y2=\"88\" class=\"broken\"></line>\n",
+       "        <path d=\"M 68,100 A 4,4 0,0,0 72,104\" class=\"nofill\"></path>\n",
+       "        <line x1=\"72\" y1=\"104\" x2=\"88\" y2=\"104\" class=\"solid\"></line>\n",
+       "        <path d=\"M 92,100 A 4,4 0,0,1 88,104\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 136,72 A 4,4 0,0,0 132,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"76\" x2=\"132\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"136\" y1=\"72\" x2=\"152\" y2=\"72\" class=\"solid\"></line>\n",
+       "        <path d=\"M 152,72 A 4,4 0,0,1 156,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"76\" x2=\"156\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"92\" y1=\"88\" x2=\"132\" y2=\"88\" class=\"solid\"></line>\n",
+       "        <line x1=\"108\" y1=\"88\" x2=\"108\" y2=\"132\" class=\"solid\"></line>\n",
+       "        <path d=\"M 132,100 A 4,4 0,0,0 136,104\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"104\" x2=\"152\" y2=\"104\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,100 A 4,4 0,0,1 152,104\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 108,132 A 4,4 0,0,0 112,136\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 200,72 A 4,4 0,0,0 196,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"76\" x2=\"196\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"72\" x2=\"216\" y2=\"72\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,72 A 4,4 0,0,1 220,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"76\" x2=\"220\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"156\" y1=\"88\" x2=\"196\" y2=\"88\" class=\"broken\"></line>\n",
+       "        <path d=\"M 196,100 A 4,4 0,0,0 200,104\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"104\" x2=\"216\" y2=\"104\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,100 A 4,4 0,0,1 216,104\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 136,120 A 4,4 0,0,0 132,124\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"124\" x2=\"132\" y2=\"148\" class=\"solid\"></line>\n",
+       "        <line x1=\"136\" y1=\"120\" x2=\"152\" y2=\"120\" class=\"solid\"></line>\n",
+       "        <path d=\"M 152,120 A 4,4 0,0,1 156,124\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"124\" x2=\"156\" y2=\"148\" class=\"solid\"></line>\n",
+       "        <line x1=\"112\" y1=\"136\" x2=\"132\" y2=\"136\" class=\"solid\"></line>\n",
+       "        <path d=\"M 132,148 A 4,4 0,0,0 136,152\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"152\" x2=\"152\" y2=\"152\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,148 A 4,4 0,0,1 152,152\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 200,120 A 4,4 0,0,0 196,124\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"124\" x2=\"196\" y2=\"148\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"120\" x2=\"216\" y2=\"120\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,120 A 4,4 0,0,1 220,124\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"124\" x2=\"220\" y2=\"148\" class=\"solid\"></line>\n",
+       "        <line x1=\"156\" y1=\"136\" x2=\"196\" y2=\"136\" class=\"broken\"></line>\n",
+       "        <path d=\"M 196,148 A 4,4 0,0,0 200,152\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"152\" x2=\"216\" y2=\"152\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,148 A 4,4 0,0,1 216,152\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 8,168 A 4,4 0,0,0 4,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"4\" y1=\"172\" x2=\"4\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <line x1=\"8\" y1=\"168\" x2=\"24\" y2=\"168\" class=\"solid\"></line>\n",
+       "        <path d=\"M 24,168 A 4,4 0,0,1 28,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"28\" y1=\"172\" x2=\"28\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <path d=\"M 4,196 A 4,4 0,0,0 8,200\" class=\"nofill\"></path>\n",
+       "        <line x1=\"8\" y1=\"200\" x2=\"24\" y2=\"200\" class=\"solid\"></line>\n",
+       "        <path d=\"M 28,196 A 4,4 0,0,1 24,200\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 72,168 A 4,4 0,0,0 68,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"68\" y1=\"172\" x2=\"68\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <line x1=\"72\" y1=\"168\" x2=\"88\" y2=\"168\" class=\"solid\"></line>\n",
+       "        <path d=\"M 88,168 A 4,4 0,0,1 92,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"92\" y1=\"172\" x2=\"92\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <line x1=\"28\" y1=\"184\" x2=\"68\" y2=\"184\" class=\"broken\"></line>\n",
+       "        <path d=\"M 68,196 A 4,4 0,0,0 72,200\" class=\"nofill\"></path>\n",
+       "        <line x1=\"72\" y1=\"200\" x2=\"88\" y2=\"200\" class=\"solid\"></line>\n",
+       "        <path d=\"M 92,196 A 4,4 0,0,1 88,200\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 136,168 A 4,4 0,0,0 132,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"172\" x2=\"132\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <line x1=\"136\" y1=\"168\" x2=\"152\" y2=\"168\" class=\"solid\"></line>\n",
+       "        <path d=\"M 152,168 A 4,4 0,0,1 156,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"172\" x2=\"156\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <line x1=\"92\" y1=\"184\" x2=\"132\" y2=\"184\" class=\"solid\"></line>\n",
+       "        <line x1=\"108\" y1=\"184\" x2=\"108\" y2=\"276\" class=\"solid\"></line>\n",
+       "        <path d=\"M 132,196 A 4,4 0,0,0 136,200\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"200\" x2=\"152\" y2=\"200\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,196 A 4,4 0,0,1 152,200\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 108,276 A 4,4 0,0,0 112,280\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 200,168 A 4,4 0,0,0 196,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"172\" x2=\"196\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"168\" x2=\"216\" y2=\"168\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,168 A 4,4 0,0,1 220,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"172\" x2=\"220\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <line x1=\"156\" y1=\"184\" x2=\"196\" y2=\"184\" class=\"broken\"></line>\n",
+       "        <path d=\"M 196,196 A 4,4 0,0,0 200,200\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"200\" x2=\"216\" y2=\"200\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,196 A 4,4 0,0,1 216,200\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 136,216 A 4,4 0,0,0 132,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"220\" x2=\"132\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <line x1=\"136\" y1=\"216\" x2=\"152\" y2=\"216\" class=\"solid\"></line>\n",
+       "        <path d=\"M 152,216 A 4,4 0,0,1 156,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"220\" x2=\"156\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <line x1=\"108\" y1=\"232\" x2=\"132\" y2=\"232\" class=\"solid\"></line>\n",
+       "        <path d=\"M 132,244 A 4,4 0,0,0 136,248\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"248\" x2=\"152\" y2=\"248\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,244 A 4,4 0,0,1 152,248\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 200,216 A 4,4 0,0,0 196,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"220\" x2=\"196\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"216\" x2=\"216\" y2=\"216\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,216 A 4,4 0,0,1 220,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"220\" x2=\"220\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <line x1=\"156\" y1=\"232\" x2=\"196\" y2=\"232\" class=\"broken\"></line>\n",
+       "        <path d=\"M 196,244 A 4,4 0,0,0 200,248\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"248\" x2=\"216\" y2=\"248\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,244 A 4,4 0,0,1 216,248\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 136,264 A 4,4 0,0,0 132,268\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"268\" x2=\"132\" y2=\"292\" class=\"solid\"></line>\n",
+       "        <line x1=\"136\" y1=\"264\" x2=\"152\" y2=\"264\" class=\"solid\"></line>\n",
+       "        <path d=\"M 152,264 A 4,4 0,0,1 156,268\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"268\" x2=\"156\" y2=\"292\" class=\"solid\"></line>\n",
+       "        <line x1=\"112\" y1=\"280\" x2=\"132\" y2=\"280\" class=\"solid\"></line>\n",
+       "        <path d=\"M 132,292 A 4,4 0,0,0 136,296\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"296\" x2=\"152\" y2=\"296\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,292 A 4,4 0,0,1 152,296\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 200,264 A 4,4 0,0,0 196,268\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"268\" x2=\"196\" y2=\"292\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"264\" x2=\"216\" y2=\"264\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,264 A 4,4 0,0,1 220,268\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"268\" x2=\"220\" y2=\"292\" class=\"solid\"></line>\n",
+       "        <line x1=\"156\" y1=\"280\" x2=\"196\" y2=\"280\" class=\"broken\"></line>\n",
+       "        <path d=\"M 196,292 A 4,4 0,0,0 200,296\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"296\" x2=\"216\" y2=\"296\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,292 A 4,4 0,0,1 216,296\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 8,312 A 4,4 0,0,0 4,316\" class=\"nofill\"></path>\n",
+       "        <line x1=\"4\" y1=\"316\" x2=\"4\" y2=\"340\" class=\"solid\"></line>\n",
+       "        <line x1=\"8\" y1=\"312\" x2=\"24\" y2=\"312\" class=\"solid\"></line>\n",
+       "        <path d=\"M 24,312 A 4,4 0,0,1 28,316\" class=\"nofill\"></path>\n",
+       "        <line x1=\"28\" y1=\"316\" x2=\"28\" y2=\"340\" class=\"solid\"></line>\n",
+       "        <path d=\"M 4,340 A 4,4 0,0,0 8,344\" class=\"nofill\"></path>\n",
+       "        <line x1=\"8\" y1=\"344\" x2=\"24\" y2=\"344\" class=\"solid\"></line>\n",
+       "        <path d=\"M 28,340 A 4,4 0,0,1 24,344\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 72,312 A 4,4 0,0,0 68,316\" class=\"nofill\"></path>\n",
+       "        <line x1=\"68\" y1=\"316\" x2=\"68\" y2=\"340\" class=\"solid\"></line>\n",
+       "        <line x1=\"72\" y1=\"312\" x2=\"88\" y2=\"312\" class=\"solid\"></line>\n",
+       "        <path d=\"M 88,312 A 4,4 0,0,1 92,316\" class=\"nofill\"></path>\n",
+       "        <line x1=\"92\" y1=\"316\" x2=\"92\" y2=\"340\" class=\"solid\"></line>\n",
+       "        <line x1=\"28\" y1=\"328\" x2=\"68\" y2=\"328\" class=\"broken\"></line>\n",
+       "        <path d=\"M 68,340 A 4,4 0,0,0 72,344\" class=\"nofill\"></path>\n",
+       "        <line x1=\"72\" y1=\"344\" x2=\"88\" y2=\"344\" class=\"solid\"></line>\n",
+       "        <path d=\"M 92,340 A 4,4 0,0,1 88,344\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 136,312 A 4,4 0,0,0 132,316\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"316\" x2=\"132\" y2=\"340\" class=\"solid\"></line>\n",
+       "        <line x1=\"136\" y1=\"312\" x2=\"152\" y2=\"312\" class=\"solid\"></line>\n",
+       "        <path d=\"M 152,312 A 4,4 0,0,1 156,316\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"316\" x2=\"156\" y2=\"340\" class=\"solid\"></line>\n",
+       "        <line x1=\"92\" y1=\"328\" x2=\"132\" y2=\"328\" class=\"solid\"></line>\n",
+       "        <line x1=\"108\" y1=\"328\" x2=\"108\" y2=\"420\" class=\"solid\"></line>\n",
+       "        <path d=\"M 132,340 A 4,4 0,0,0 136,344\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"344\" x2=\"152\" y2=\"344\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,340 A 4,4 0,0,1 152,344\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 108,420 A 4,4 0,0,0 112,424\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 200,312 A 4,4 0,0,0 196,316\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"316\" x2=\"196\" y2=\"340\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"312\" x2=\"216\" y2=\"312\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,312 A 4,4 0,0,1 220,316\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"316\" x2=\"220\" y2=\"340\" class=\"solid\"></line>\n",
+       "        <line x1=\"156\" y1=\"328\" x2=\"196\" y2=\"328\" class=\"broken\"></line>\n",
+       "        <path d=\"M 196,340 A 4,4 0,0,0 200,344\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"344\" x2=\"216\" y2=\"344\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,340 A 4,4 0,0,1 216,344\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 136,360 A 4,4 0,0,0 132,364\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"364\" x2=\"132\" y2=\"388\" class=\"solid\"></line>\n",
+       "        <line x1=\"136\" y1=\"360\" x2=\"152\" y2=\"360\" class=\"solid\"></line>\n",
+       "        <path d=\"M 152,360 A 4,4 0,0,1 156,364\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"364\" x2=\"156\" y2=\"388\" class=\"solid\"></line>\n",
+       "        <line x1=\"108\" y1=\"376\" x2=\"132\" y2=\"376\" class=\"solid\"></line>\n",
+       "        <path d=\"M 132,388 A 4,4 0,0,0 136,392\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"392\" x2=\"152\" y2=\"392\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,388 A 4,4 0,0,1 152,392\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 200,360 A 4,4 0,0,0 196,364\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"364\" x2=\"196\" y2=\"388\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"360\" x2=\"216\" y2=\"360\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,360 A 4,4 0,0,1 220,364\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"364\" x2=\"220\" y2=\"388\" class=\"solid\"></line>\n",
+       "        <line x1=\"156\" y1=\"376\" x2=\"196\" y2=\"376\" class=\"broken\"></line>\n",
+       "        <path d=\"M 196,388 A 4,4 0,0,0 200,392\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"392\" x2=\"216\" y2=\"392\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,388 A 4,4 0,0,1 216,392\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 136,408 A 4,4 0,0,0 132,412\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"412\" x2=\"132\" y2=\"436\" class=\"solid\"></line>\n",
+       "        <line x1=\"136\" y1=\"408\" x2=\"152\" y2=\"408\" class=\"solid\"></line>\n",
+       "        <path d=\"M 152,408 A 4,4 0,0,1 156,412\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"412\" x2=\"156\" y2=\"436\" class=\"solid\"></line>\n",
+       "        <line x1=\"112\" y1=\"424\" x2=\"132\" y2=\"424\" class=\"solid\"></line>\n",
+       "        <path d=\"M 132,436 A 4,4 0,0,0 136,440\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"440\" x2=\"152\" y2=\"440\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,436 A 4,4 0,0,1 152,440\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 200,408 A 4,4 0,0,0 196,412\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"412\" x2=\"196\" y2=\"436\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"408\" x2=\"216\" y2=\"408\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,408 A 4,4 0,0,1 220,412\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"412\" x2=\"220\" y2=\"436\" class=\"solid\"></line>\n",
+       "        <line x1=\"156\" y1=\"424\" x2=\"196\" y2=\"424\" class=\"broken\"></line>\n",
+       "        <path d=\"M 196,436 A 4,4 0,0,0 200,440\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"440\" x2=\"216\" y2=\"440\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,436 A 4,4 0,0,1 216,440\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "</svg>"
+      ],
+      "text/plain": [
+       ".---.   .---.   .---.   .---.\n",
+       "|i0 |p0 |i1 |p1 |i2 |p2 |i3 |\n",
+       "`---'   `---'   `---'   `---'\n",
+       "=============================\n",
+       ".--.  0 .--.  0 .--.  0 .--.\n",
+       "|0 |~~~~|0 |-+--|0 |~~~~|1 |\n",
+       "`--'  1 `--' |  `--'  1 `--'\n",
+       "             |  .--.    .--.\n",
+       "             `--|0 |~~~~|2 |\n",
+       "              2 `--'  2 `--'\n",
+       ".--.    .--.    .--.    .--.\n",
+       "|0 |~~~~|1 |-+--|0 |~~~~|0 |\n",
+       "`--'  2 `--' |  `--'  3 `--'\n",
+       "             |  .--.    .--.\n",
+       "             |--|0 |~~~~|2 |\n",
+       "             |  `--'  4 `--'\n",
+       "             |  .--.    .--.\n",
+       "             `--|1 |~~~~|0 |\n",
+       "              5 `--'  5 `--'\n",
+       ".--.    .--.    .--.    .--.\n",
+       "|1 |~~~~|1 |-+--|1 |~~~~|0 |\n",
+       "`--'  3 `--' |  `--'  6 `--'\n",
+       "             |  .--.    .--.\n",
+       "             |--|1 |~~~~|1 |\n",
+       "             |  `--'  7 `--'\n",
+       "             |  .--.    .--.\n",
+       "             `--|1 |~~~~|2 |\n",
+       "              8 `--'  8 `--'"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "text/markdown": [
+       "# `S-DC-DC-S`"
+      ],
+      "text/plain": [
+       "<IPython.core.display.Markdown object>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "image/svg+xml": [
+       "<svg xmlns=\"http://www.w3.org/2000/svg\" width=\"240\" height=\"304\">\n",
+       "    <style>line, path, circle,rect,polygon {\n",
+       "                          stroke: black;\n",
+       "                          stroke-width: 2;\n",
+       "                          stroke-opacity: 1;\n",
+       "                          fill-opacity: 1;\n",
+       "                          stroke-linecap: round;\n",
+       "                          stroke-linejoin: miter;\n",
+       "                        }\n",
+       "\n",
+       "                    text {\n",
+       "                        /* This fix the spacing bug in svg text*/\n",
+       "                        white-space: pre;\n",
+       "                        fill: black;\n",
+       "                        }\n",
+       "                        rect.backdrop{\n",
+       "                            stroke: none;\n",
+       "                            fill: white;\n",
+       "                        }\n",
+       "                        .broken{\n",
+       "                            stroke-dasharray: 8;\n",
+       "                        }\n",
+       "                        .filled{\n",
+       "                            fill: black;\n",
+       "                        }\n",
+       "                        .bg_filled{\n",
+       "                            fill: white;\n",
+       "                        }\n",
+       "                        .nofill{\n",
+       "                            fill: white;\n",
+       "                        }\n",
+       "\n",
+       "                        text {\n",
+       "                         font-family: monospace;\n",
+       "                         font-size: 14px;\n",
+       "                        }\n",
+       "\n",
+       "                        .end_marked_arrow{\n",
+       "                            marker-end: url(#arrow);\n",
+       "                         }\n",
+       "                        .start_marked_arrow{\n",
+       "                            marker-start: url(#arrow);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_diamond{\n",
+       "                            marker-end: url(#diamond);\n",
+       "                         }\n",
+       "                        .start_marked_diamond{\n",
+       "                            marker-start: url(#diamond);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_circle{\n",
+       "                            marker-end: url(#circle);\n",
+       "                         }\n",
+       "                        .start_marked_circle{\n",
+       "                            marker-start: url(#circle);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_open_circle{\n",
+       "                            marker-end: url(#open_circle);\n",
+       "                         }\n",
+       "                        .start_marked_open_circle{\n",
+       "                            marker-start: url(#open_circle);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_big_open_circle{\n",
+       "                            marker-end: url(#big_open_circle);\n",
+       "                         }\n",
+       "                        .start_marked_big_open_circle{\n",
+       "                            marker-start: url(#big_open_circle);\n",
+       "                         }\n",
+       "\n",
+       "                         \n",
+       "                        </style>\n",
+       "    <defs>\n",
+       "        <marker id=\"arrow\" viewBox=\"-2 -2 8 8\" refX=\"4\" refY=\"2\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <polygon points=\"0,0 0,4 4,2 0,0\"></polygon>\n",
+       "        </marker>\n",
+       "        <marker id=\"diamond\" viewBox=\"-2 -2 8 8\" refX=\"4\" refY=\"2\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <polygon points=\"0,2 2,0 4,2 2,4 0,2\"></polygon>\n",
+       "        </marker>\n",
+       "        <marker id=\"circle\" viewBox=\"0 0 8 8\" refX=\"4\" refY=\"4\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <circle cx=\"4\" cy=\"4\" r=\"2\" class=\"filled\"></circle>\n",
+       "        </marker>\n",
+       "        <marker id=\"open_circle\" viewBox=\"0 0 8 8\" refX=\"4\" refY=\"4\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <circle cx=\"4\" cy=\"4\" r=\"2\" class=\"bg_filled\"></circle>\n",
+       "        </marker>\n",
+       "        <marker id=\"big_open_circle\" viewBox=\"0 0 8 8\" refX=\"4\" refY=\"4\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <circle cx=\"4\" cy=\"4\" r=\"3\" class=\"bg_filled\"></circle>\n",
+       "        </marker>\n",
+       "    </defs>\n",
+       "    <rect x=\"4\" y=\"8\" width=\"32\" height=\"32\" class=\"solid nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"10\" y=\"28\" >i0</text>\n",
+       "    <rect x=\"68\" y=\"8\" width=\"32\" height=\"32\" class=\"solid nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"74\" y=\"28\" >i1</text>\n",
+       "    <rect x=\"132\" y=\"8\" width=\"32\" height=\"32\" class=\"solid nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"138\" y=\"28\" >i2</text>\n",
+       "    <rect x=\"196\" y=\"8\" width=\"32\" height=\"32\" class=\"solid nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"202\" y=\"28\" >i3</text>\n",
+       "    <text x=\"42\" y=\"28\" >p0</text>\n",
+       "    <text x=\"106\" y=\"28\" >p1</text>\n",
+       "    <text x=\"170\" y=\"28\" >p2</text>\n",
+       "    <line x1=\"0\" y1=\"54\" x2=\"232\" y2=\"54\" class=\"solid\"></line>\n",
+       "    <line x1=\"0\" y1=\"58\" x2=\"232\" y2=\"58\" class=\"solid\"></line>\n",
+       "    <text x=\"50\" y=\"76\" >0</text>\n",
+       "    <text x=\"114\" y=\"76\" >0</text>\n",
+       "    <text x=\"178\" y=\"76\" >0</text>\n",
+       "    <text x=\"10\" y=\"92\" >0</text>\n",
+       "    <text x=\"74\" y=\"92\" >0</text>\n",
+       "    <text x=\"138\" y=\"92\" >0</text>\n",
+       "    <text x=\"202\" y=\"92\" >1</text>\n",
+       "    <text x=\"50\" y=\"108\" >1</text>\n",
+       "    <text x=\"114\" y=\"108\" >1</text>\n",
+       "    <text x=\"202\" y=\"108\" >2</text>\n",
+       "    <text x=\"178\" y=\"124\" >2</text>\n",
+       "    <text x=\"10\" y=\"140\" >0</text>\n",
+       "    <text x=\"74\" y=\"140\" >1</text>\n",
+       "    <text x=\"138\" y=\"140\" >0</text>\n",
+       "    <text x=\"202\" y=\"140\" >0</text>\n",
+       "    <text x=\"50\" y=\"156\" >2</text>\n",
+       "    <text x=\"202\" y=\"156\" >2</text>\n",
+       "    <text x=\"178\" y=\"172\" >4</text>\n",
+       "    <text x=\"138\" y=\"188\" >1</text>\n",
+       "    <text x=\"202\" y=\"188\" >0</text>\n",
+       "    <text x=\"114\" y=\"204\" >3</text>\n",
+       "    <text x=\"178\" y=\"204\" >5</text>\n",
+       "    <text x=\"10\" y=\"236\" >1</text>\n",
+       "    <text x=\"74\" y=\"236\" >1</text>\n",
+       "    <text x=\"138\" y=\"236\" >1</text>\n",
+       "    <text x=\"202\" y=\"236\" >0</text>\n",
+       "    <text x=\"50\" y=\"252\" >3</text>\n",
+       "    <text x=\"114\" y=\"252\" >4</text>\n",
+       "    <text x=\"202\" y=\"252\" >1</text>\n",
+       "    <text x=\"202\" y=\"268\" >2</text>\n",
+       "    <text x=\"178\" y=\"284\" >8</text>\n",
+       "    <g>\n",
+       "        <path d=\"M 8,72 A 4,4 0,0,0 4,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"4\" y1=\"76\" x2=\"4\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"8\" y1=\"72\" x2=\"24\" y2=\"72\" class=\"solid\"></line>\n",
+       "        <path d=\"M 24,72 A 4,4 0,0,1 28,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"28\" y1=\"76\" x2=\"28\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <path d=\"M 4,100 A 4,4 0,0,0 8,104\" class=\"nofill\"></path>\n",
+       "        <line x1=\"8\" y1=\"104\" x2=\"24\" y2=\"104\" class=\"solid\"></line>\n",
+       "        <path d=\"M 28,100 A 4,4 0,0,1 24,104\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 72,72 A 4,4 0,0,0 68,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"68\" y1=\"76\" x2=\"68\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"72\" y1=\"72\" x2=\"88\" y2=\"72\" class=\"solid\"></line>\n",
+       "        <path d=\"M 88,72 A 4,4 0,0,1 92,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"92\" y1=\"76\" x2=\"92\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"28\" y1=\"88\" x2=\"68\" y2=\"88\" class=\"broken\"></line>\n",
+       "        <path d=\"M 68,100 A 4,4 0,0,0 72,104\" class=\"nofill\"></path>\n",
+       "        <line x1=\"72\" y1=\"104\" x2=\"88\" y2=\"104\" class=\"solid\"></line>\n",
+       "        <path d=\"M 92,100 A 4,4 0,0,1 88,104\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 136,72 A 4,4 0,0,0 132,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"76\" x2=\"132\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"136\" y1=\"72\" x2=\"152\" y2=\"72\" class=\"solid\"></line>\n",
+       "        <path d=\"M 152,72 A 4,4 0,0,1 156,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"76\" x2=\"156\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"92\" y1=\"88\" x2=\"132\" y2=\"88\" class=\"solid\"></line>\n",
+       "        <path d=\"M 132,100 A 4,4 0,0,0 136,104\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"104\" x2=\"152\" y2=\"104\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,100 A 4,4 0,0,1 152,104\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 200,72 A 4,4 0,0,0 196,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"76\" x2=\"196\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"72\" x2=\"216\" y2=\"72\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,72 A 4,4 0,0,1 220,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"76\" x2=\"220\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <line x1=\"156\" y1=\"88\" x2=\"196\" y2=\"88\" class=\"solid\"></line>\n",
+       "        <line x1=\"172\" y1=\"88\" x2=\"172\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <path d=\"M 172,100 A 4,4 0,0,0 176,104\" class=\"nofill\"></path>\n",
+       "        <line x1=\"176\" y1=\"104\" x2=\"196\" y2=\"104\" class=\"solid\"></line>\n",
+       "        <line x1=\"196\" y1=\"120\" x2=\"220\" y2=\"120\" class=\"solid\"></line>\n",
+       "        <line x1=\"196\" y1=\"168\" x2=\"220\" y2=\"168\" class=\"solid\"></line>\n",
+       "        <path d=\"M 196,196 A 4,4 0,0,0 200,200\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"200\" x2=\"216\" y2=\"200\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,196 A 4,4 0,0,1 216,200\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 136,120 A 4,4 0,0,0 132,124\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"124\" x2=\"132\" y2=\"148\" class=\"solid\"></line>\n",
+       "        <line x1=\"136\" y1=\"120\" x2=\"152\" y2=\"120\" class=\"solid\"></line>\n",
+       "        <path d=\"M 152,120 A 4,4 0,0,1 156,124\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"124\" x2=\"156\" y2=\"148\" class=\"solid\"></line>\n",
+       "        <line x1=\"92\" y1=\"136\" x2=\"132\" y2=\"136\" class=\"solid\"></line>\n",
+       "        <line x1=\"108\" y1=\"136\" x2=\"108\" y2=\"180\" class=\"solid\"></line>\n",
+       "        <line x1=\"156\" y1=\"136\" x2=\"196\" y2=\"136\" class=\"solid\"></line>\n",
+       "        <line x1=\"172\" y1=\"136\" x2=\"172\" y2=\"148\" class=\"solid\"></line>\n",
+       "        <path d=\"M 132,148 A 4,4 0,0,0 136,152\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"152\" x2=\"152\" y2=\"152\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,148 A 4,4 0,0,1 152,152\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 172,148 A 4,4 0,0,0 176,152\" class=\"nofill\"></path>\n",
+       "        <line x1=\"176\" y1=\"152\" x2=\"196\" y2=\"152\" class=\"solid\"></line>\n",
+       "        <path d=\"M 108,180 A 4,4 0,0,0 112,184\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 136,168 A 4,4 0,0,0 132,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"172\" x2=\"132\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <line x1=\"136\" y1=\"168\" x2=\"152\" y2=\"168\" class=\"solid\"></line>\n",
+       "        <path d=\"M 152,168 A 4,4 0,0,1 156,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"172\" x2=\"156\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <line x1=\"112\" y1=\"184\" x2=\"132\" y2=\"184\" class=\"solid\"></line>\n",
+       "        <line x1=\"156\" y1=\"184\" x2=\"196\" y2=\"184\" class=\"solid\"></line>\n",
+       "        <path d=\"M 132,196 A 4,4 0,0,0 136,200\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"200\" x2=\"152\" y2=\"200\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,196 A 4,4 0,0,1 152,200\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 8,120 A 4,4 0,0,0 4,124\" class=\"nofill\"></path>\n",
+       "        <line x1=\"4\" y1=\"124\" x2=\"4\" y2=\"148\" class=\"solid\"></line>\n",
+       "        <line x1=\"8\" y1=\"120\" x2=\"24\" y2=\"120\" class=\"solid\"></line>\n",
+       "        <path d=\"M 24,120 A 4,4 0,0,1 28,124\" class=\"nofill\"></path>\n",
+       "        <line x1=\"28\" y1=\"124\" x2=\"28\" y2=\"148\" class=\"solid\"></line>\n",
+       "        <path d=\"M 4,148 A 4,4 0,0,0 8,152\" class=\"nofill\"></path>\n",
+       "        <line x1=\"8\" y1=\"152\" x2=\"24\" y2=\"152\" class=\"solid\"></line>\n",
+       "        <path d=\"M 28,148 A 4,4 0,0,1 24,152\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 72,120 A 4,4 0,0,0 68,124\" class=\"nofill\"></path>\n",
+       "        <line x1=\"68\" y1=\"124\" x2=\"68\" y2=\"148\" class=\"solid\"></line>\n",
+       "        <line x1=\"72\" y1=\"120\" x2=\"88\" y2=\"120\" class=\"solid\"></line>\n",
+       "        <path d=\"M 88,120 A 4,4 0,0,1 92,124\" class=\"nofill\"></path>\n",
+       "        <line x1=\"92\" y1=\"124\" x2=\"92\" y2=\"148\" class=\"solid\"></line>\n",
+       "        <line x1=\"28\" y1=\"136\" x2=\"68\" y2=\"136\" class=\"broken\"></line>\n",
+       "        <path d=\"M 68,148 A 4,4 0,0,0 72,152\" class=\"nofill\"></path>\n",
+       "        <line x1=\"72\" y1=\"152\" x2=\"88\" y2=\"152\" class=\"solid\"></line>\n",
+       "        <path d=\"M 92,148 A 4,4 0,0,1 88,152\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 8,216 A 4,4 0,0,0 4,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"4\" y1=\"220\" x2=\"4\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <line x1=\"8\" y1=\"216\" x2=\"24\" y2=\"216\" class=\"solid\"></line>\n",
+       "        <path d=\"M 24,216 A 4,4 0,0,1 28,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"28\" y1=\"220\" x2=\"28\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <path d=\"M 4,244 A 4,4 0,0,0 8,248\" class=\"nofill\"></path>\n",
+       "        <line x1=\"8\" y1=\"248\" x2=\"24\" y2=\"248\" class=\"solid\"></line>\n",
+       "        <path d=\"M 28,244 A 4,4 0,0,1 24,248\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 72,216 A 4,4 0,0,0 68,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"68\" y1=\"220\" x2=\"68\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <line x1=\"72\" y1=\"216\" x2=\"88\" y2=\"216\" class=\"solid\"></line>\n",
+       "        <path d=\"M 88,216 A 4,4 0,0,1 92,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"92\" y1=\"220\" x2=\"92\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <line x1=\"28\" y1=\"232\" x2=\"68\" y2=\"232\" class=\"broken\"></line>\n",
+       "        <path d=\"M 68,244 A 4,4 0,0,0 72,248\" class=\"nofill\"></path>\n",
+       "        <line x1=\"72\" y1=\"248\" x2=\"88\" y2=\"248\" class=\"solid\"></line>\n",
+       "        <path d=\"M 92,244 A 4,4 0,0,1 88,248\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 136,216 A 4,4 0,0,0 132,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"220\" x2=\"132\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <line x1=\"136\" y1=\"216\" x2=\"152\" y2=\"216\" class=\"solid\"></line>\n",
+       "        <path d=\"M 152,216 A 4,4 0,0,1 156,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"220\" x2=\"156\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <line x1=\"92\" y1=\"232\" x2=\"132\" y2=\"232\" class=\"solid\"></line>\n",
+       "        <path d=\"M 132,244 A 4,4 0,0,0 136,248\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"248\" x2=\"152\" y2=\"248\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,244 A 4,4 0,0,1 152,248\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 200,216 A 4,4 0,0,0 196,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"220\" x2=\"196\" y2=\"276\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"216\" x2=\"216\" y2=\"216\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,216 A 4,4 0,0,1 220,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"220\" x2=\"220\" y2=\"276\" class=\"solid\"></line>\n",
+       "        <line x1=\"156\" y1=\"232\" x2=\"196\" y2=\"232\" class=\"solid\"></line>\n",
+       "        <line x1=\"172\" y1=\"232\" x2=\"172\" y2=\"260\" class=\"solid\"></line>\n",
+       "        <line x1=\"172\" y1=\"248\" x2=\"196\" y2=\"248\" class=\"solid\"></line>\n",
+       "        <path d=\"M 172,260 A 4,4 0,0,0 176,264\" class=\"nofill\"></path>\n",
+       "        <line x1=\"176\" y1=\"264\" x2=\"196\" y2=\"264\" class=\"solid\"></line>\n",
+       "        <path d=\"M 196,276 A 4,4 0,0,0 200,280\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"280\" x2=\"216\" y2=\"280\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,276 A 4,4 0,0,1 216,280\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "</svg>"
+      ],
+      "text/plain": [
+       ".---.   .---.   .---.   .---.\n",
+       "|i0 |p0 |i1 |p1 |i2 |p2 |i3 |\n",
+       "`---'   `---'   `---'   `---'\n",
+       "=============================\n",
+       ".--.  0 .--.  0 .--.  0 .--.\n",
+       "|0 |~~~~|0 |----|0 |-+--|1 |\n",
+       "`--'  1 `--'  1 `--' `--|2 |\n",
+       ".--.    .--.    .--.  2 |--|\n",
+       "|0 |~~~~|1 |-+--|0 |-+--|0 |\n",
+       "`--'  2 `--' |  `--' `--|2 |\n",
+       "             |  .--.  4 |--|\n",
+       "             `--|1 |----|0 |\n",
+       "              3 `--'  5 `--'\n",
+       ".--.    .--.    .--.    .--.\n",
+       "|1 |~~~~|1 |----|1 |-+--|0 |\n",
+       "`--'  3 `--'  4 `--' |--|1 |\n",
+       "                     `--|2 |\n",
+       "                      8 `--'"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "text/markdown": [
+       "# `DC-S-S-S`"
+      ],
+      "text/plain": [
+       "<IPython.core.display.Markdown object>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "image/svg+xml": [
+       "<svg xmlns=\"http://www.w3.org/2000/svg\" width=\"240\" height=\"464\">\n",
+       "    <style>line, path, circle,rect,polygon {\n",
+       "                          stroke: black;\n",
+       "                          stroke-width: 2;\n",
+       "                          stroke-opacity: 1;\n",
+       "                          fill-opacity: 1;\n",
+       "                          stroke-linecap: round;\n",
+       "                          stroke-linejoin: miter;\n",
+       "                        }\n",
+       "\n",
+       "                    text {\n",
+       "                        /* This fix the spacing bug in svg text*/\n",
+       "                        white-space: pre;\n",
+       "                        fill: black;\n",
+       "                        }\n",
+       "                        rect.backdrop{\n",
+       "                            stroke: none;\n",
+       "                            fill: white;\n",
+       "                        }\n",
+       "                        .broken{\n",
+       "                            stroke-dasharray: 8;\n",
+       "                        }\n",
+       "                        .filled{\n",
+       "                            fill: black;\n",
+       "                        }\n",
+       "                        .bg_filled{\n",
+       "                            fill: white;\n",
+       "                        }\n",
+       "                        .nofill{\n",
+       "                            fill: white;\n",
+       "                        }\n",
+       "\n",
+       "                        text {\n",
+       "                         font-family: monospace;\n",
+       "                         font-size: 14px;\n",
+       "                        }\n",
+       "\n",
+       "                        .end_marked_arrow{\n",
+       "                            marker-end: url(#arrow);\n",
+       "                         }\n",
+       "                        .start_marked_arrow{\n",
+       "                            marker-start: url(#arrow);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_diamond{\n",
+       "                            marker-end: url(#diamond);\n",
+       "                         }\n",
+       "                        .start_marked_diamond{\n",
+       "                            marker-start: url(#diamond);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_circle{\n",
+       "                            marker-end: url(#circle);\n",
+       "                         }\n",
+       "                        .start_marked_circle{\n",
+       "                            marker-start: url(#circle);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_open_circle{\n",
+       "                            marker-end: url(#open_circle);\n",
+       "                         }\n",
+       "                        .start_marked_open_circle{\n",
+       "                            marker-start: url(#open_circle);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_big_open_circle{\n",
+       "                            marker-end: url(#big_open_circle);\n",
+       "                         }\n",
+       "                        .start_marked_big_open_circle{\n",
+       "                            marker-start: url(#big_open_circle);\n",
+       "                         }\n",
+       "\n",
+       "                         \n",
+       "                        </style>\n",
+       "    <defs>\n",
+       "        <marker id=\"arrow\" viewBox=\"-2 -2 8 8\" refX=\"4\" refY=\"2\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <polygon points=\"0,0 0,4 4,2 0,0\"></polygon>\n",
+       "        </marker>\n",
+       "        <marker id=\"diamond\" viewBox=\"-2 -2 8 8\" refX=\"4\" refY=\"2\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <polygon points=\"0,2 2,0 4,2 2,4 0,2\"></polygon>\n",
+       "        </marker>\n",
+       "        <marker id=\"circle\" viewBox=\"0 0 8 8\" refX=\"4\" refY=\"4\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <circle cx=\"4\" cy=\"4\" r=\"2\" class=\"filled\"></circle>\n",
+       "        </marker>\n",
+       "        <marker id=\"open_circle\" viewBox=\"0 0 8 8\" refX=\"4\" refY=\"4\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <circle cx=\"4\" cy=\"4\" r=\"2\" class=\"bg_filled\"></circle>\n",
+       "        </marker>\n",
+       "        <marker id=\"big_open_circle\" viewBox=\"0 0 8 8\" refX=\"4\" refY=\"4\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <circle cx=\"4\" cy=\"4\" r=\"3\" class=\"bg_filled\"></circle>\n",
+       "        </marker>\n",
+       "    </defs>\n",
+       "    <rect x=\"4\" y=\"8\" width=\"32\" height=\"32\" class=\"solid nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"10\" y=\"28\" >i0</text>\n",
+       "    <rect x=\"68\" y=\"8\" width=\"32\" height=\"32\" class=\"solid nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"74\" y=\"28\" >i1</text>\n",
+       "    <rect x=\"132\" y=\"8\" width=\"32\" height=\"32\" class=\"solid nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"138\" y=\"28\" >i2</text>\n",
+       "    <rect x=\"196\" y=\"8\" width=\"32\" height=\"32\" class=\"solid nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"202\" y=\"28\" >i3</text>\n",
+       "    <text x=\"42\" y=\"28\" >p0</text>\n",
+       "    <text x=\"106\" y=\"28\" >p1</text>\n",
+       "    <text x=\"170\" y=\"28\" >p2</text>\n",
+       "    <line x1=\"0\" y1=\"54\" x2=\"232\" y2=\"54\" class=\"solid\"></line>\n",
+       "    <line x1=\"0\" y1=\"58\" x2=\"232\" y2=\"58\" class=\"solid\"></line>\n",
+       "    <text x=\"50\" y=\"76\" >0</text>\n",
+       "    <text x=\"114\" y=\"76\" >0</text>\n",
+       "    <text x=\"178\" y=\"76\" >0</text>\n",
+       "    <text x=\"10\" y=\"92\" >0</text>\n",
+       "    <text x=\"74\" y=\"92\" >0</text>\n",
+       "    <text x=\"138\" y=\"92\" >0</text>\n",
+       "    <text x=\"202\" y=\"92\" >1</text>\n",
+       "    <text x=\"114\" y=\"108\" >1</text>\n",
+       "    <text x=\"178\" y=\"108\" >1</text>\n",
+       "    <text x=\"74\" y=\"140\" >0</text>\n",
+       "    <text x=\"138\" y=\"140\" >0</text>\n",
+       "    <text x=\"202\" y=\"140\" >2</text>\n",
+       "    <text x=\"114\" y=\"156\" >2</text>\n",
+       "    <text x=\"178\" y=\"156\" >2</text>\n",
+       "    <text x=\"74\" y=\"188\" >1</text>\n",
+       "    <text x=\"138\" y=\"188\" >0</text>\n",
+       "    <text x=\"202\" y=\"188\" >0</text>\n",
+       "    <text x=\"114\" y=\"204\" >3</text>\n",
+       "    <text x=\"178\" y=\"204\" >3</text>\n",
+       "    <text x=\"74\" y=\"236\" >1</text>\n",
+       "    <text x=\"138\" y=\"236\" >0</text>\n",
+       "    <text x=\"202\" y=\"236\" >2</text>\n",
+       "    <text x=\"114\" y=\"252\" >4</text>\n",
+       "    <text x=\"178\" y=\"252\" >4</text>\n",
+       "    <text x=\"74\" y=\"284\" >1</text>\n",
+       "    <text x=\"138\" y=\"284\" >1</text>\n",
+       "    <text x=\"202\" y=\"284\" >0</text>\n",
+       "    <text x=\"50\" y=\"300\" >5</text>\n",
+       "    <text x=\"114\" y=\"300\" >5</text>\n",
+       "    <text x=\"178\" y=\"300\" >5</text>\n",
+       "    <text x=\"10\" y=\"332\" >1</text>\n",
+       "    <text x=\"74\" y=\"332\" >1</text>\n",
+       "    <text x=\"138\" y=\"332\" >1</text>\n",
+       "    <text x=\"202\" y=\"332\" >0</text>\n",
+       "    <text x=\"114\" y=\"348\" >6</text>\n",
+       "    <text x=\"178\" y=\"348\" >6</text>\n",
+       "    <text x=\"74\" y=\"380\" >1</text>\n",
+       "    <text x=\"138\" y=\"380\" >1</text>\n",
+       "    <text x=\"202\" y=\"380\" >1</text>\n",
+       "    <text x=\"114\" y=\"396\" >7</text>\n",
+       "    <text x=\"178\" y=\"396\" >7</text>\n",
+       "    <text x=\"74\" y=\"428\" >1</text>\n",
+       "    <text x=\"138\" y=\"428\" >1</text>\n",
+       "    <text x=\"202\" y=\"428\" >2</text>\n",
+       "    <text x=\"50\" y=\"444\" >8</text>\n",
+       "    <text x=\"114\" y=\"444\" >8</text>\n",
+       "    <text x=\"178\" y=\"444\" >8</text>\n",
+       "    <g>\n",
+       "        <path d=\"M 8,72 A 4,4 0,0,0 4,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"4\" y1=\"76\" x2=\"4\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"8\" y1=\"72\" x2=\"24\" y2=\"72\" class=\"solid\"></line>\n",
+       "        <path d=\"M 24,72 A 4,4 0,0,1 28,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"28\" y1=\"76\" x2=\"28\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <path d=\"M 4,100 A 4,4 0,0,0 8,104\" class=\"nofill\"></path>\n",
+       "        <line x1=\"8\" y1=\"104\" x2=\"24\" y2=\"104\" class=\"solid\"></line>\n",
+       "        <path d=\"M 28,100 A 4,4 0,0,1 24,104\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 72,72 A 4,4 0,0,0 68,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"68\" y1=\"76\" x2=\"68\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"72\" y1=\"72\" x2=\"88\" y2=\"72\" class=\"solid\"></line>\n",
+       "        <path d=\"M 88,72 A 4,4 0,0,1 92,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"92\" y1=\"76\" x2=\"92\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"28\" y1=\"88\" x2=\"68\" y2=\"88\" class=\"solid\"></line>\n",
+       "        <line x1=\"44\" y1=\"88\" x2=\"44\" y2=\"276\" class=\"solid\"></line>\n",
+       "        <path d=\"M 68,100 A 4,4 0,0,0 72,104\" class=\"nofill\"></path>\n",
+       "        <line x1=\"72\" y1=\"104\" x2=\"88\" y2=\"104\" class=\"solid\"></line>\n",
+       "        <path d=\"M 92,100 A 4,4 0,0,1 88,104\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 44,276 A 4,4 0,0,0 48,280\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 136,72 A 4,4 0,0,0 132,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"76\" x2=\"132\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"136\" y1=\"72\" x2=\"152\" y2=\"72\" class=\"solid\"></line>\n",
+       "        <path d=\"M 152,72 A 4,4 0,0,1 156,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"76\" x2=\"156\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"92\" y1=\"88\" x2=\"132\" y2=\"88\" class=\"broken\"></line>\n",
+       "        <path d=\"M 132,100 A 4,4 0,0,0 136,104\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"104\" x2=\"152\" y2=\"104\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,100 A 4,4 0,0,1 152,104\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 200,72 A 4,4 0,0,0 196,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"76\" x2=\"196\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"72\" x2=\"216\" y2=\"72\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,72 A 4,4 0,0,1 220,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"76\" x2=\"220\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"156\" y1=\"88\" x2=\"196\" y2=\"88\" class=\"broken\"></line>\n",
+       "        <path d=\"M 196,100 A 4,4 0,0,0 200,104\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"104\" x2=\"216\" y2=\"104\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,100 A 4,4 0,0,1 216,104\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 72,120 A 4,4 0,0,0 68,124\" class=\"nofill\"></path>\n",
+       "        <line x1=\"68\" y1=\"124\" x2=\"68\" y2=\"148\" class=\"solid\"></line>\n",
+       "        <line x1=\"72\" y1=\"120\" x2=\"88\" y2=\"120\" class=\"solid\"></line>\n",
+       "        <path d=\"M 88,120 A 4,4 0,0,1 92,124\" class=\"nofill\"></path>\n",
+       "        <line x1=\"92\" y1=\"124\" x2=\"92\" y2=\"148\" class=\"solid\"></line>\n",
+       "        <line x1=\"44\" y1=\"136\" x2=\"68\" y2=\"136\" class=\"solid\"></line>\n",
+       "        <path d=\"M 68,148 A 4,4 0,0,0 72,152\" class=\"nofill\"></path>\n",
+       "        <line x1=\"72\" y1=\"152\" x2=\"88\" y2=\"152\" class=\"solid\"></line>\n",
+       "        <path d=\"M 92,148 A 4,4 0,0,1 88,152\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 136,120 A 4,4 0,0,0 132,124\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"124\" x2=\"132\" y2=\"148\" class=\"solid\"></line>\n",
+       "        <line x1=\"136\" y1=\"120\" x2=\"152\" y2=\"120\" class=\"solid\"></line>\n",
+       "        <path d=\"M 152,120 A 4,4 0,0,1 156,124\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"124\" x2=\"156\" y2=\"148\" class=\"solid\"></line>\n",
+       "        <line x1=\"92\" y1=\"136\" x2=\"132\" y2=\"136\" class=\"broken\"></line>\n",
+       "        <path d=\"M 132,148 A 4,4 0,0,0 136,152\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"152\" x2=\"152\" y2=\"152\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,148 A 4,4 0,0,1 152,152\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 200,120 A 4,4 0,0,0 196,124\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"124\" x2=\"196\" y2=\"148\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"120\" x2=\"216\" y2=\"120\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,120 A 4,4 0,0,1 220,124\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"124\" x2=\"220\" y2=\"148\" class=\"solid\"></line>\n",
+       "        <line x1=\"156\" y1=\"136\" x2=\"196\" y2=\"136\" class=\"broken\"></line>\n",
+       "        <path d=\"M 196,148 A 4,4 0,0,0 200,152\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"152\" x2=\"216\" y2=\"152\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,148 A 4,4 0,0,1 216,152\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 72,168 A 4,4 0,0,0 68,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"68\" y1=\"172\" x2=\"68\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <line x1=\"72\" y1=\"168\" x2=\"88\" y2=\"168\" class=\"solid\"></line>\n",
+       "        <path d=\"M 88,168 A 4,4 0,0,1 92,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"92\" y1=\"172\" x2=\"92\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <line x1=\"44\" y1=\"184\" x2=\"68\" y2=\"184\" class=\"solid\"></line>\n",
+       "        <path d=\"M 68,196 A 4,4 0,0,0 72,200\" class=\"nofill\"></path>\n",
+       "        <line x1=\"72\" y1=\"200\" x2=\"88\" y2=\"200\" class=\"solid\"></line>\n",
+       "        <path d=\"M 92,196 A 4,4 0,0,1 88,200\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 136,168 A 4,4 0,0,0 132,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"172\" x2=\"132\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <line x1=\"136\" y1=\"168\" x2=\"152\" y2=\"168\" class=\"solid\"></line>\n",
+       "        <path d=\"M 152,168 A 4,4 0,0,1 156,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"172\" x2=\"156\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <line x1=\"92\" y1=\"184\" x2=\"132\" y2=\"184\" class=\"broken\"></line>\n",
+       "        <path d=\"M 132,196 A 4,4 0,0,0 136,200\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"200\" x2=\"152\" y2=\"200\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,196 A 4,4 0,0,1 152,200\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 200,168 A 4,4 0,0,0 196,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"172\" x2=\"196\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"168\" x2=\"216\" y2=\"168\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,168 A 4,4 0,0,1 220,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"172\" x2=\"220\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <line x1=\"156\" y1=\"184\" x2=\"196\" y2=\"184\" class=\"broken\"></line>\n",
+       "        <path d=\"M 196,196 A 4,4 0,0,0 200,200\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"200\" x2=\"216\" y2=\"200\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,196 A 4,4 0,0,1 216,200\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 72,216 A 4,4 0,0,0 68,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"68\" y1=\"220\" x2=\"68\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <line x1=\"72\" y1=\"216\" x2=\"88\" y2=\"216\" class=\"solid\"></line>\n",
+       "        <path d=\"M 88,216 A 4,4 0,0,1 92,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"92\" y1=\"220\" x2=\"92\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <line x1=\"44\" y1=\"232\" x2=\"68\" y2=\"232\" class=\"solid\"></line>\n",
+       "        <path d=\"M 68,244 A 4,4 0,0,0 72,248\" class=\"nofill\"></path>\n",
+       "        <line x1=\"72\" y1=\"248\" x2=\"88\" y2=\"248\" class=\"solid\"></line>\n",
+       "        <path d=\"M 92,244 A 4,4 0,0,1 88,248\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 136,216 A 4,4 0,0,0 132,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"220\" x2=\"132\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <line x1=\"136\" y1=\"216\" x2=\"152\" y2=\"216\" class=\"solid\"></line>\n",
+       "        <path d=\"M 152,216 A 4,4 0,0,1 156,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"220\" x2=\"156\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <line x1=\"92\" y1=\"232\" x2=\"132\" y2=\"232\" class=\"broken\"></line>\n",
+       "        <path d=\"M 132,244 A 4,4 0,0,0 136,248\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"248\" x2=\"152\" y2=\"248\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,244 A 4,4 0,0,1 152,248\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 200,216 A 4,4 0,0,0 196,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"220\" x2=\"196\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"216\" x2=\"216\" y2=\"216\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,216 A 4,4 0,0,1 220,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"220\" x2=\"220\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <line x1=\"156\" y1=\"232\" x2=\"196\" y2=\"232\" class=\"broken\"></line>\n",
+       "        <path d=\"M 196,244 A 4,4 0,0,0 200,248\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"248\" x2=\"216\" y2=\"248\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,244 A 4,4 0,0,1 216,248\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 72,264 A 4,4 0,0,0 68,268\" class=\"nofill\"></path>\n",
+       "        <line x1=\"68\" y1=\"268\" x2=\"68\" y2=\"292\" class=\"solid\"></line>\n",
+       "        <line x1=\"72\" y1=\"264\" x2=\"88\" y2=\"264\" class=\"solid\"></line>\n",
+       "        <path d=\"M 88,264 A 4,4 0,0,1 92,268\" class=\"nofill\"></path>\n",
+       "        <line x1=\"92\" y1=\"268\" x2=\"92\" y2=\"292\" class=\"solid\"></line>\n",
+       "        <line x1=\"48\" y1=\"280\" x2=\"68\" y2=\"280\" class=\"solid\"></line>\n",
+       "        <path d=\"M 68,292 A 4,4 0,0,0 72,296\" class=\"nofill\"></path>\n",
+       "        <line x1=\"72\" y1=\"296\" x2=\"88\" y2=\"296\" class=\"solid\"></line>\n",
+       "        <path d=\"M 92,292 A 4,4 0,0,1 88,296\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 136,264 A 4,4 0,0,0 132,268\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"268\" x2=\"132\" y2=\"292\" class=\"solid\"></line>\n",
+       "        <line x1=\"136\" y1=\"264\" x2=\"152\" y2=\"264\" class=\"solid\"></line>\n",
+       "        <path d=\"M 152,264 A 4,4 0,0,1 156,268\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"268\" x2=\"156\" y2=\"292\" class=\"solid\"></line>\n",
+       "        <line x1=\"92\" y1=\"280\" x2=\"132\" y2=\"280\" class=\"broken\"></line>\n",
+       "        <path d=\"M 132,292 A 4,4 0,0,0 136,296\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"296\" x2=\"152\" y2=\"296\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,292 A 4,4 0,0,1 152,296\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 200,264 A 4,4 0,0,0 196,268\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"268\" x2=\"196\" y2=\"292\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"264\" x2=\"216\" y2=\"264\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,264 A 4,4 0,0,1 220,268\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"268\" x2=\"220\" y2=\"292\" class=\"solid\"></line>\n",
+       "        <line x1=\"156\" y1=\"280\" x2=\"196\" y2=\"280\" class=\"broken\"></line>\n",
+       "        <path d=\"M 196,292 A 4,4 0,0,0 200,296\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"296\" x2=\"216\" y2=\"296\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,292 A 4,4 0,0,1 216,296\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 8,312 A 4,4 0,0,0 4,316\" class=\"nofill\"></path>\n",
+       "        <line x1=\"4\" y1=\"316\" x2=\"4\" y2=\"340\" class=\"solid\"></line>\n",
+       "        <line x1=\"8\" y1=\"312\" x2=\"24\" y2=\"312\" class=\"solid\"></line>\n",
+       "        <path d=\"M 24,312 A 4,4 0,0,1 28,316\" class=\"nofill\"></path>\n",
+       "        <line x1=\"28\" y1=\"316\" x2=\"28\" y2=\"340\" class=\"solid\"></line>\n",
+       "        <path d=\"M 4,340 A 4,4 0,0,0 8,344\" class=\"nofill\"></path>\n",
+       "        <line x1=\"8\" y1=\"344\" x2=\"24\" y2=\"344\" class=\"solid\"></line>\n",
+       "        <path d=\"M 28,340 A 4,4 0,0,1 24,344\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 72,312 A 4,4 0,0,0 68,316\" class=\"nofill\"></path>\n",
+       "        <line x1=\"68\" y1=\"316\" x2=\"68\" y2=\"340\" class=\"solid\"></line>\n",
+       "        <line x1=\"72\" y1=\"312\" x2=\"88\" y2=\"312\" class=\"solid\"></line>\n",
+       "        <path d=\"M 88,312 A 4,4 0,0,1 92,316\" class=\"nofill\"></path>\n",
+       "        <line x1=\"92\" y1=\"316\" x2=\"92\" y2=\"340\" class=\"solid\"></line>\n",
+       "        <line x1=\"28\" y1=\"328\" x2=\"68\" y2=\"328\" class=\"solid\"></line>\n",
+       "        <line x1=\"44\" y1=\"328\" x2=\"44\" y2=\"420\" class=\"solid\"></line>\n",
+       "        <path d=\"M 68,340 A 4,4 0,0,0 72,344\" class=\"nofill\"></path>\n",
+       "        <line x1=\"72\" y1=\"344\" x2=\"88\" y2=\"344\" class=\"solid\"></line>\n",
+       "        <path d=\"M 92,340 A 4,4 0,0,1 88,344\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 44,420 A 4,4 0,0,0 48,424\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 136,312 A 4,4 0,0,0 132,316\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"316\" x2=\"132\" y2=\"340\" class=\"solid\"></line>\n",
+       "        <line x1=\"136\" y1=\"312\" x2=\"152\" y2=\"312\" class=\"solid\"></line>\n",
+       "        <path d=\"M 152,312 A 4,4 0,0,1 156,316\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"316\" x2=\"156\" y2=\"340\" class=\"solid\"></line>\n",
+       "        <line x1=\"92\" y1=\"328\" x2=\"132\" y2=\"328\" class=\"broken\"></line>\n",
+       "        <path d=\"M 132,340 A 4,4 0,0,0 136,344\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"344\" x2=\"152\" y2=\"344\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,340 A 4,4 0,0,1 152,344\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 200,312 A 4,4 0,0,0 196,316\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"316\" x2=\"196\" y2=\"340\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"312\" x2=\"216\" y2=\"312\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,312 A 4,4 0,0,1 220,316\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"316\" x2=\"220\" y2=\"340\" class=\"solid\"></line>\n",
+       "        <line x1=\"156\" y1=\"328\" x2=\"196\" y2=\"328\" class=\"broken\"></line>\n",
+       "        <path d=\"M 196,340 A 4,4 0,0,0 200,344\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"344\" x2=\"216\" y2=\"344\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,340 A 4,4 0,0,1 216,344\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 72,360 A 4,4 0,0,0 68,364\" class=\"nofill\"></path>\n",
+       "        <line x1=\"68\" y1=\"364\" x2=\"68\" y2=\"388\" class=\"solid\"></line>\n",
+       "        <line x1=\"72\" y1=\"360\" x2=\"88\" y2=\"360\" class=\"solid\"></line>\n",
+       "        <path d=\"M 88,360 A 4,4 0,0,1 92,364\" class=\"nofill\"></path>\n",
+       "        <line x1=\"92\" y1=\"364\" x2=\"92\" y2=\"388\" class=\"solid\"></line>\n",
+       "        <line x1=\"44\" y1=\"376\" x2=\"68\" y2=\"376\" class=\"solid\"></line>\n",
+       "        <path d=\"M 68,388 A 4,4 0,0,0 72,392\" class=\"nofill\"></path>\n",
+       "        <line x1=\"72\" y1=\"392\" x2=\"88\" y2=\"392\" class=\"solid\"></line>\n",
+       "        <path d=\"M 92,388 A 4,4 0,0,1 88,392\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 136,360 A 4,4 0,0,0 132,364\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"364\" x2=\"132\" y2=\"388\" class=\"solid\"></line>\n",
+       "        <line x1=\"136\" y1=\"360\" x2=\"152\" y2=\"360\" class=\"solid\"></line>\n",
+       "        <path d=\"M 152,360 A 4,4 0,0,1 156,364\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"364\" x2=\"156\" y2=\"388\" class=\"solid\"></line>\n",
+       "        <line x1=\"92\" y1=\"376\" x2=\"132\" y2=\"376\" class=\"broken\"></line>\n",
+       "        <path d=\"M 132,388 A 4,4 0,0,0 136,392\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"392\" x2=\"152\" y2=\"392\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,388 A 4,4 0,0,1 152,392\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 200,360 A 4,4 0,0,0 196,364\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"364\" x2=\"196\" y2=\"388\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"360\" x2=\"216\" y2=\"360\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,360 A 4,4 0,0,1 220,364\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"364\" x2=\"220\" y2=\"388\" class=\"solid\"></line>\n",
+       "        <line x1=\"156\" y1=\"376\" x2=\"196\" y2=\"376\" class=\"broken\"></line>\n",
+       "        <path d=\"M 196,388 A 4,4 0,0,0 200,392\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"392\" x2=\"216\" y2=\"392\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,388 A 4,4 0,0,1 216,392\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 72,408 A 4,4 0,0,0 68,412\" class=\"nofill\"></path>\n",
+       "        <line x1=\"68\" y1=\"412\" x2=\"68\" y2=\"436\" class=\"solid\"></line>\n",
+       "        <line x1=\"72\" y1=\"408\" x2=\"88\" y2=\"408\" class=\"solid\"></line>\n",
+       "        <path d=\"M 88,408 A 4,4 0,0,1 92,412\" class=\"nofill\"></path>\n",
+       "        <line x1=\"92\" y1=\"412\" x2=\"92\" y2=\"436\" class=\"solid\"></line>\n",
+       "        <line x1=\"48\" y1=\"424\" x2=\"68\" y2=\"424\" class=\"solid\"></line>\n",
+       "        <path d=\"M 68,436 A 4,4 0,0,0 72,440\" class=\"nofill\"></path>\n",
+       "        <line x1=\"72\" y1=\"440\" x2=\"88\" y2=\"440\" class=\"solid\"></line>\n",
+       "        <path d=\"M 92,436 A 4,4 0,0,1 88,440\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 136,408 A 4,4 0,0,0 132,412\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"412\" x2=\"132\" y2=\"436\" class=\"solid\"></line>\n",
+       "        <line x1=\"136\" y1=\"408\" x2=\"152\" y2=\"408\" class=\"solid\"></line>\n",
+       "        <path d=\"M 152,408 A 4,4 0,0,1 156,412\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"412\" x2=\"156\" y2=\"436\" class=\"solid\"></line>\n",
+       "        <line x1=\"92\" y1=\"424\" x2=\"132\" y2=\"424\" class=\"broken\"></line>\n",
+       "        <path d=\"M 132,436 A 4,4 0,0,0 136,440\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"440\" x2=\"152\" y2=\"440\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,436 A 4,4 0,0,1 152,440\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 200,408 A 4,4 0,0,0 196,412\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"412\" x2=\"196\" y2=\"436\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"408\" x2=\"216\" y2=\"408\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,408 A 4,4 0,0,1 220,412\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"412\" x2=\"220\" y2=\"436\" class=\"solid\"></line>\n",
+       "        <line x1=\"156\" y1=\"424\" x2=\"196\" y2=\"424\" class=\"broken\"></line>\n",
+       "        <path d=\"M 196,436 A 4,4 0,0,0 200,440\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"440\" x2=\"216\" y2=\"440\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,436 A 4,4 0,0,1 216,440\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "</svg>"
+      ],
+      "text/plain": [
+       ".---.   .---.   .---.   .---.\n",
+       "|i0 |p0 |i1 |p1 |i2 |p2 |i3 |\n",
+       "`---'   `---'   `---'   `---'\n",
+       "=============================\n",
+       ".--.  0 .--.  0 .--.  0 .--.\n",
+       "|0 |-+--|0 |~~~~|0 |~~~~|1 |\n",
+       "`--' |  `--'  1 `--'  1 `--'\n",
+       "     |  .--.    .--.    .--.\n",
+       "     |--|0 |~~~~|0 |~~~~|2 |\n",
+       "     |  `--'  2 `--'  2 `--'\n",
+       "     |  .--.    .--.    .--.\n",
+       "     |--|1 |~~~~|0 |~~~~|0 |\n",
+       "     |  `--'  3 `--'  3 `--'\n",
+       "     |  .--.    .--.    .--.\n",
+       "     |--|1 |~~~~|0 |~~~~|2 |\n",
+       "     |  `--'  4 `--'  4 `--'\n",
+       "     |  .--.    .--.    .--.\n",
+       "     `--|1 |~~~~|1 |~~~~|0 |\n",
+       "      5 `--'  5 `--'  5 `--'\n",
+       ".--.    .--.    .--.    .--.\n",
+       "|1 |-+--|1 |~~~~|1 |~~~~|0 |\n",
+       "`--' |  `--'  6 `--'  6 `--'\n",
+       "     |  .--.    .--.    .--.\n",
+       "     |--|1 |~~~~|1 |~~~~|1 |\n",
+       "     |  `--'  7 `--'  7 `--'\n",
+       "     |  .--.    .--.    .--.\n",
+       "     `--|1 |~~~~|1 |~~~~|2 |\n",
+       "      8 `--'  8 `--'  8 `--'"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "text/markdown": [
+       "# `DC-S-DC-S`"
+      ],
+      "text/plain": [
+       "<IPython.core.display.Markdown object>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "image/svg+xml": [
+       "<svg xmlns=\"http://www.w3.org/2000/svg\" width=\"240\" height=\"304\">\n",
+       "    <style>line, path, circle,rect,polygon {\n",
+       "                          stroke: black;\n",
+       "                          stroke-width: 2;\n",
+       "                          stroke-opacity: 1;\n",
+       "                          fill-opacity: 1;\n",
+       "                          stroke-linecap: round;\n",
+       "                          stroke-linejoin: miter;\n",
+       "                        }\n",
+       "\n",
+       "                    text {\n",
+       "                        /* This fix the spacing bug in svg text*/\n",
+       "                        white-space: pre;\n",
+       "                        fill: black;\n",
+       "                        }\n",
+       "                        rect.backdrop{\n",
+       "                            stroke: none;\n",
+       "                            fill: white;\n",
+       "                        }\n",
+       "                        .broken{\n",
+       "                            stroke-dasharray: 8;\n",
+       "                        }\n",
+       "                        .filled{\n",
+       "                            fill: black;\n",
+       "                        }\n",
+       "                        .bg_filled{\n",
+       "                            fill: white;\n",
+       "                        }\n",
+       "                        .nofill{\n",
+       "                            fill: white;\n",
+       "                        }\n",
+       "\n",
+       "                        text {\n",
+       "                         font-family: monospace;\n",
+       "                         font-size: 14px;\n",
+       "                        }\n",
+       "\n",
+       "                        .end_marked_arrow{\n",
+       "                            marker-end: url(#arrow);\n",
+       "                         }\n",
+       "                        .start_marked_arrow{\n",
+       "                            marker-start: url(#arrow);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_diamond{\n",
+       "                            marker-end: url(#diamond);\n",
+       "                         }\n",
+       "                        .start_marked_diamond{\n",
+       "                            marker-start: url(#diamond);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_circle{\n",
+       "                            marker-end: url(#circle);\n",
+       "                         }\n",
+       "                        .start_marked_circle{\n",
+       "                            marker-start: url(#circle);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_open_circle{\n",
+       "                            marker-end: url(#open_circle);\n",
+       "                         }\n",
+       "                        .start_marked_open_circle{\n",
+       "                            marker-start: url(#open_circle);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_big_open_circle{\n",
+       "                            marker-end: url(#big_open_circle);\n",
+       "                         }\n",
+       "                        .start_marked_big_open_circle{\n",
+       "                            marker-start: url(#big_open_circle);\n",
+       "                         }\n",
+       "\n",
+       "                         \n",
+       "                        </style>\n",
+       "    <defs>\n",
+       "        <marker id=\"arrow\" viewBox=\"-2 -2 8 8\" refX=\"4\" refY=\"2\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <polygon points=\"0,0 0,4 4,2 0,0\"></polygon>\n",
+       "        </marker>\n",
+       "        <marker id=\"diamond\" viewBox=\"-2 -2 8 8\" refX=\"4\" refY=\"2\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <polygon points=\"0,2 2,0 4,2 2,4 0,2\"></polygon>\n",
+       "        </marker>\n",
+       "        <marker id=\"circle\" viewBox=\"0 0 8 8\" refX=\"4\" refY=\"4\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <circle cx=\"4\" cy=\"4\" r=\"2\" class=\"filled\"></circle>\n",
+       "        </marker>\n",
+       "        <marker id=\"open_circle\" viewBox=\"0 0 8 8\" refX=\"4\" refY=\"4\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <circle cx=\"4\" cy=\"4\" r=\"2\" class=\"bg_filled\"></circle>\n",
+       "        </marker>\n",
+       "        <marker id=\"big_open_circle\" viewBox=\"0 0 8 8\" refX=\"4\" refY=\"4\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <circle cx=\"4\" cy=\"4\" r=\"3\" class=\"bg_filled\"></circle>\n",
+       "        </marker>\n",
+       "    </defs>\n",
+       "    <rect x=\"4\" y=\"8\" width=\"32\" height=\"32\" class=\"solid nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"10\" y=\"28\" >i0</text>\n",
+       "    <rect x=\"68\" y=\"8\" width=\"32\" height=\"32\" class=\"solid nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"74\" y=\"28\" >i1</text>\n",
+       "    <rect x=\"132\" y=\"8\" width=\"32\" height=\"32\" class=\"solid nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"138\" y=\"28\" >i2</text>\n",
+       "    <rect x=\"196\" y=\"8\" width=\"32\" height=\"32\" class=\"solid nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"202\" y=\"28\" >i3</text>\n",
+       "    <text x=\"42\" y=\"28\" >p0</text>\n",
+       "    <text x=\"106\" y=\"28\" >p1</text>\n",
+       "    <text x=\"170\" y=\"28\" >p2</text>\n",
+       "    <line x1=\"0\" y1=\"54\" x2=\"232\" y2=\"54\" class=\"solid\"></line>\n",
+       "    <line x1=\"0\" y1=\"58\" x2=\"232\" y2=\"58\" class=\"solid\"></line>\n",
+       "    <text x=\"50\" y=\"76\" >0</text>\n",
+       "    <text x=\"114\" y=\"76\" >0</text>\n",
+       "    <text x=\"178\" y=\"76\" >0</text>\n",
+       "    <text x=\"10\" y=\"92\" >0</text>\n",
+       "    <text x=\"74\" y=\"92\" >0</text>\n",
+       "    <text x=\"138\" y=\"92\" >0</text>\n",
+       "    <text x=\"202\" y=\"92\" >1</text>\n",
+       "    <text x=\"114\" y=\"108\" >1</text>\n",
+       "    <text x=\"202\" y=\"108\" >2</text>\n",
+       "    <text x=\"178\" y=\"124\" >2</text>\n",
+       "    <text x=\"74\" y=\"140\" >1</text>\n",
+       "    <text x=\"138\" y=\"140\" >0</text>\n",
+       "    <text x=\"202\" y=\"140\" >0</text>\n",
+       "    <text x=\"114\" y=\"156\" >2</text>\n",
+       "    <text x=\"202\" y=\"156\" >2</text>\n",
+       "    <text x=\"178\" y=\"172\" >4</text>\n",
+       "    <text x=\"74\" y=\"188\" >1</text>\n",
+       "    <text x=\"138\" y=\"188\" >1</text>\n",
+       "    <text x=\"202\" y=\"188\" >0</text>\n",
+       "    <text x=\"50\" y=\"204\" >3</text>\n",
+       "    <text x=\"114\" y=\"204\" >3</text>\n",
+       "    <text x=\"178\" y=\"204\" >5</text>\n",
+       "    <text x=\"10\" y=\"236\" >1</text>\n",
+       "    <text x=\"74\" y=\"236\" >1</text>\n",
+       "    <text x=\"138\" y=\"236\" >1</text>\n",
+       "    <text x=\"202\" y=\"236\" >0</text>\n",
+       "    <text x=\"50\" y=\"252\" >4</text>\n",
+       "    <text x=\"114\" y=\"252\" >4</text>\n",
+       "    <text x=\"202\" y=\"252\" >1</text>\n",
+       "    <text x=\"202\" y=\"268\" >2</text>\n",
+       "    <text x=\"178\" y=\"284\" >8</text>\n",
+       "    <g>\n",
+       "        <path d=\"M 8,72 A 4,4 0,0,0 4,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"4\" y1=\"76\" x2=\"4\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"8\" y1=\"72\" x2=\"24\" y2=\"72\" class=\"solid\"></line>\n",
+       "        <path d=\"M 24,72 A 4,4 0,0,1 28,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"28\" y1=\"76\" x2=\"28\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <path d=\"M 4,100 A 4,4 0,0,0 8,104\" class=\"nofill\"></path>\n",
+       "        <line x1=\"8\" y1=\"104\" x2=\"24\" y2=\"104\" class=\"solid\"></line>\n",
+       "        <path d=\"M 28,100 A 4,4 0,0,1 24,104\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 72,72 A 4,4 0,0,0 68,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"68\" y1=\"76\" x2=\"68\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"72\" y1=\"72\" x2=\"88\" y2=\"72\" class=\"solid\"></line>\n",
+       "        <path d=\"M 88,72 A 4,4 0,0,1 92,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"92\" y1=\"76\" x2=\"92\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"28\" y1=\"88\" x2=\"68\" y2=\"88\" class=\"solid\"></line>\n",
+       "        <line x1=\"44\" y1=\"88\" x2=\"44\" y2=\"180\" class=\"solid\"></line>\n",
+       "        <path d=\"M 68,100 A 4,4 0,0,0 72,104\" class=\"nofill\"></path>\n",
+       "        <line x1=\"72\" y1=\"104\" x2=\"88\" y2=\"104\" class=\"solid\"></line>\n",
+       "        <path d=\"M 92,100 A 4,4 0,0,1 88,104\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 44,180 A 4,4 0,0,0 48,184\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 136,72 A 4,4 0,0,0 132,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"76\" x2=\"132\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"136\" y1=\"72\" x2=\"152\" y2=\"72\" class=\"solid\"></line>\n",
+       "        <path d=\"M 152,72 A 4,4 0,0,1 156,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"76\" x2=\"156\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"92\" y1=\"88\" x2=\"132\" y2=\"88\" class=\"broken\"></line>\n",
+       "        <path d=\"M 132,100 A 4,4 0,0,0 136,104\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"104\" x2=\"152\" y2=\"104\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,100 A 4,4 0,0,1 152,104\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 200,72 A 4,4 0,0,0 196,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"76\" x2=\"196\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"72\" x2=\"216\" y2=\"72\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,72 A 4,4 0,0,1 220,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"76\" x2=\"220\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <line x1=\"156\" y1=\"88\" x2=\"196\" y2=\"88\" class=\"solid\"></line>\n",
+       "        <line x1=\"172\" y1=\"88\" x2=\"172\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <path d=\"M 172,100 A 4,4 0,0,0 176,104\" class=\"nofill\"></path>\n",
+       "        <line x1=\"176\" y1=\"104\" x2=\"196\" y2=\"104\" class=\"solid\"></line>\n",
+       "        <line x1=\"196\" y1=\"120\" x2=\"220\" y2=\"120\" class=\"solid\"></line>\n",
+       "        <line x1=\"196\" y1=\"168\" x2=\"220\" y2=\"168\" class=\"solid\"></line>\n",
+       "        <path d=\"M 196,196 A 4,4 0,0,0 200,200\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"200\" x2=\"216\" y2=\"200\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,196 A 4,4 0,0,1 216,200\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 72,120 A 4,4 0,0,0 68,124\" class=\"nofill\"></path>\n",
+       "        <line x1=\"68\" y1=\"124\" x2=\"68\" y2=\"148\" class=\"solid\"></line>\n",
+       "        <line x1=\"72\" y1=\"120\" x2=\"88\" y2=\"120\" class=\"solid\"></line>\n",
+       "        <path d=\"M 88,120 A 4,4 0,0,1 92,124\" class=\"nofill\"></path>\n",
+       "        <line x1=\"92\" y1=\"124\" x2=\"92\" y2=\"148\" class=\"solid\"></line>\n",
+       "        <line x1=\"44\" y1=\"136\" x2=\"68\" y2=\"136\" class=\"solid\"></line>\n",
+       "        <path d=\"M 68,148 A 4,4 0,0,0 72,152\" class=\"nofill\"></path>\n",
+       "        <line x1=\"72\" y1=\"152\" x2=\"88\" y2=\"152\" class=\"solid\"></line>\n",
+       "        <path d=\"M 92,148 A 4,4 0,0,1 88,152\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 136,120 A 4,4 0,0,0 132,124\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"124\" x2=\"132\" y2=\"148\" class=\"solid\"></line>\n",
+       "        <line x1=\"136\" y1=\"120\" x2=\"152\" y2=\"120\" class=\"solid\"></line>\n",
+       "        <path d=\"M 152,120 A 4,4 0,0,1 156,124\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"124\" x2=\"156\" y2=\"148\" class=\"solid\"></line>\n",
+       "        <line x1=\"92\" y1=\"136\" x2=\"132\" y2=\"136\" class=\"broken\"></line>\n",
+       "        <line x1=\"156\" y1=\"136\" x2=\"196\" y2=\"136\" class=\"solid\"></line>\n",
+       "        <line x1=\"172\" y1=\"136\" x2=\"172\" y2=\"148\" class=\"solid\"></line>\n",
+       "        <path d=\"M 132,148 A 4,4 0,0,0 136,152\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"152\" x2=\"152\" y2=\"152\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,148 A 4,4 0,0,1 152,152\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 172,148 A 4,4 0,0,0 176,152\" class=\"nofill\"></path>\n",
+       "        <line x1=\"176\" y1=\"152\" x2=\"196\" y2=\"152\" class=\"solid\"></line>\n",
+       "        <path d=\"M 72,168 A 4,4 0,0,0 68,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"68\" y1=\"172\" x2=\"68\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <line x1=\"72\" y1=\"168\" x2=\"88\" y2=\"168\" class=\"solid\"></line>\n",
+       "        <path d=\"M 88,168 A 4,4 0,0,1 92,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"92\" y1=\"172\" x2=\"92\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <line x1=\"48\" y1=\"184\" x2=\"68\" y2=\"184\" class=\"solid\"></line>\n",
+       "        <path d=\"M 68,196 A 4,4 0,0,0 72,200\" class=\"nofill\"></path>\n",
+       "        <line x1=\"72\" y1=\"200\" x2=\"88\" y2=\"200\" class=\"solid\"></line>\n",
+       "        <path d=\"M 92,196 A 4,4 0,0,1 88,200\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 136,168 A 4,4 0,0,0 132,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"172\" x2=\"132\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <line x1=\"136\" y1=\"168\" x2=\"152\" y2=\"168\" class=\"solid\"></line>\n",
+       "        <path d=\"M 152,168 A 4,4 0,0,1 156,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"172\" x2=\"156\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <line x1=\"92\" y1=\"184\" x2=\"132\" y2=\"184\" class=\"broken\"></line>\n",
+       "        <line x1=\"156\" y1=\"184\" x2=\"196\" y2=\"184\" class=\"solid\"></line>\n",
+       "        <path d=\"M 132,196 A 4,4 0,0,0 136,200\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"200\" x2=\"152\" y2=\"200\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,196 A 4,4 0,0,1 152,200\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 8,216 A 4,4 0,0,0 4,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"4\" y1=\"220\" x2=\"4\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <line x1=\"8\" y1=\"216\" x2=\"24\" y2=\"216\" class=\"solid\"></line>\n",
+       "        <path d=\"M 24,216 A 4,4 0,0,1 28,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"28\" y1=\"220\" x2=\"28\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <path d=\"M 4,244 A 4,4 0,0,0 8,248\" class=\"nofill\"></path>\n",
+       "        <line x1=\"8\" y1=\"248\" x2=\"24\" y2=\"248\" class=\"solid\"></line>\n",
+       "        <path d=\"M 28,244 A 4,4 0,0,1 24,248\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 72,216 A 4,4 0,0,0 68,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"68\" y1=\"220\" x2=\"68\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <line x1=\"72\" y1=\"216\" x2=\"88\" y2=\"216\" class=\"solid\"></line>\n",
+       "        <path d=\"M 88,216 A 4,4 0,0,1 92,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"92\" y1=\"220\" x2=\"92\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <line x1=\"28\" y1=\"232\" x2=\"68\" y2=\"232\" class=\"solid\"></line>\n",
+       "        <path d=\"M 68,244 A 4,4 0,0,0 72,248\" class=\"nofill\"></path>\n",
+       "        <line x1=\"72\" y1=\"248\" x2=\"88\" y2=\"248\" class=\"solid\"></line>\n",
+       "        <path d=\"M 92,244 A 4,4 0,0,1 88,248\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 136,216 A 4,4 0,0,0 132,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"220\" x2=\"132\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <line x1=\"136\" y1=\"216\" x2=\"152\" y2=\"216\" class=\"solid\"></line>\n",
+       "        <path d=\"M 152,216 A 4,4 0,0,1 156,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"220\" x2=\"156\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <line x1=\"92\" y1=\"232\" x2=\"132\" y2=\"232\" class=\"broken\"></line>\n",
+       "        <path d=\"M 132,244 A 4,4 0,0,0 136,248\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"248\" x2=\"152\" y2=\"248\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,244 A 4,4 0,0,1 152,248\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 200,216 A 4,4 0,0,0 196,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"220\" x2=\"196\" y2=\"276\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"216\" x2=\"216\" y2=\"216\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,216 A 4,4 0,0,1 220,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"220\" x2=\"220\" y2=\"276\" class=\"solid\"></line>\n",
+       "        <line x1=\"156\" y1=\"232\" x2=\"196\" y2=\"232\" class=\"solid\"></line>\n",
+       "        <line x1=\"172\" y1=\"232\" x2=\"172\" y2=\"260\" class=\"solid\"></line>\n",
+       "        <line x1=\"172\" y1=\"248\" x2=\"196\" y2=\"248\" class=\"solid\"></line>\n",
+       "        <path d=\"M 172,260 A 4,4 0,0,0 176,264\" class=\"nofill\"></path>\n",
+       "        <line x1=\"176\" y1=\"264\" x2=\"196\" y2=\"264\" class=\"solid\"></line>\n",
+       "        <path d=\"M 196,276 A 4,4 0,0,0 200,280\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"280\" x2=\"216\" y2=\"280\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,276 A 4,4 0,0,1 216,280\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "</svg>"
+      ],
+      "text/plain": [
+       ".---.   .---.   .---.   .---.\n",
+       "|i0 |p0 |i1 |p1 |i2 |p2 |i3 |\n",
+       "`---'   `---'   `---'   `---'\n",
+       "=============================\n",
+       ".--.  0 .--.  0 .--.  0 .--.\n",
+       "|0 |-+--|0 |~~~~|0 |-+--|1 |\n",
+       "`--' |  `--'  1 `--' `--|2 |\n",
+       "     |  .--.    .--.  2 |--|\n",
+       "     |--|1 |~~~~|0 |-+--|0 |\n",
+       "     |  `--'  2 `--' `--|2 |\n",
+       "     |  .--.    .--.  4 |--|\n",
+       "     `--|1 |~~~~|1 |----|0 |\n",
+       "      3 `--'  3 `--'  5 `--'\n",
+       ".--.    .--.    .--.    .--.\n",
+       "|1 |----|1 |~~~~|1 |-+--|0 |\n",
+       "`--'  4 `--'  4 `--' |--|1 |\n",
+       "                     `--|2 |\n",
+       "                      8 `--'"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "text/markdown": [
+       "# `DC-DC-S-S`"
+      ],
+      "text/plain": [
+       "<IPython.core.display.Markdown object>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "image/svg+xml": [
+       "<svg xmlns=\"http://www.w3.org/2000/svg\" width=\"240\" height=\"464\">\n",
+       "    <style>line, path, circle,rect,polygon {\n",
+       "                          stroke: black;\n",
+       "                          stroke-width: 2;\n",
+       "                          stroke-opacity: 1;\n",
+       "                          fill-opacity: 1;\n",
+       "                          stroke-linecap: round;\n",
+       "                          stroke-linejoin: miter;\n",
+       "                        }\n",
+       "\n",
+       "                    text {\n",
+       "                        /* This fix the spacing bug in svg text*/\n",
+       "                        white-space: pre;\n",
+       "                        fill: black;\n",
+       "                        }\n",
+       "                        rect.backdrop{\n",
+       "                            stroke: none;\n",
+       "                            fill: white;\n",
+       "                        }\n",
+       "                        .broken{\n",
+       "                            stroke-dasharray: 8;\n",
+       "                        }\n",
+       "                        .filled{\n",
+       "                            fill: black;\n",
+       "                        }\n",
+       "                        .bg_filled{\n",
+       "                            fill: white;\n",
+       "                        }\n",
+       "                        .nofill{\n",
+       "                            fill: white;\n",
+       "                        }\n",
+       "\n",
+       "                        text {\n",
+       "                         font-family: monospace;\n",
+       "                         font-size: 14px;\n",
+       "                        }\n",
+       "\n",
+       "                        .end_marked_arrow{\n",
+       "                            marker-end: url(#arrow);\n",
+       "                         }\n",
+       "                        .start_marked_arrow{\n",
+       "                            marker-start: url(#arrow);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_diamond{\n",
+       "                            marker-end: url(#diamond);\n",
+       "                         }\n",
+       "                        .start_marked_diamond{\n",
+       "                            marker-start: url(#diamond);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_circle{\n",
+       "                            marker-end: url(#circle);\n",
+       "                         }\n",
+       "                        .start_marked_circle{\n",
+       "                            marker-start: url(#circle);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_open_circle{\n",
+       "                            marker-end: url(#open_circle);\n",
+       "                         }\n",
+       "                        .start_marked_open_circle{\n",
+       "                            marker-start: url(#open_circle);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_big_open_circle{\n",
+       "                            marker-end: url(#big_open_circle);\n",
+       "                         }\n",
+       "                        .start_marked_big_open_circle{\n",
+       "                            marker-start: url(#big_open_circle);\n",
+       "                         }\n",
+       "\n",
+       "                         \n",
+       "                        </style>\n",
+       "    <defs>\n",
+       "        <marker id=\"arrow\" viewBox=\"-2 -2 8 8\" refX=\"4\" refY=\"2\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <polygon points=\"0,0 0,4 4,2 0,0\"></polygon>\n",
+       "        </marker>\n",
+       "        <marker id=\"diamond\" viewBox=\"-2 -2 8 8\" refX=\"4\" refY=\"2\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <polygon points=\"0,2 2,0 4,2 2,4 0,2\"></polygon>\n",
+       "        </marker>\n",
+       "        <marker id=\"circle\" viewBox=\"0 0 8 8\" refX=\"4\" refY=\"4\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <circle cx=\"4\" cy=\"4\" r=\"2\" class=\"filled\"></circle>\n",
+       "        </marker>\n",
+       "        <marker id=\"open_circle\" viewBox=\"0 0 8 8\" refX=\"4\" refY=\"4\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <circle cx=\"4\" cy=\"4\" r=\"2\" class=\"bg_filled\"></circle>\n",
+       "        </marker>\n",
+       "        <marker id=\"big_open_circle\" viewBox=\"0 0 8 8\" refX=\"4\" refY=\"4\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <circle cx=\"4\" cy=\"4\" r=\"3\" class=\"bg_filled\"></circle>\n",
+       "        </marker>\n",
+       "    </defs>\n",
+       "    <rect x=\"4\" y=\"8\" width=\"32\" height=\"32\" class=\"solid nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"10\" y=\"28\" >i0</text>\n",
+       "    <rect x=\"68\" y=\"8\" width=\"32\" height=\"32\" class=\"solid nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"74\" y=\"28\" >i1</text>\n",
+       "    <rect x=\"132\" y=\"8\" width=\"32\" height=\"32\" class=\"solid nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"138\" y=\"28\" >i2</text>\n",
+       "    <rect x=\"196\" y=\"8\" width=\"32\" height=\"32\" class=\"solid nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"202\" y=\"28\" >i3</text>\n",
+       "    <text x=\"42\" y=\"28\" >p0</text>\n",
+       "    <text x=\"106\" y=\"28\" >p1</text>\n",
+       "    <text x=\"170\" y=\"28\" >p2</text>\n",
+       "    <line x1=\"0\" y1=\"54\" x2=\"232\" y2=\"54\" class=\"solid\"></line>\n",
+       "    <line x1=\"0\" y1=\"58\" x2=\"232\" y2=\"58\" class=\"solid\"></line>\n",
+       "    <text x=\"50\" y=\"76\" >0</text>\n",
+       "    <text x=\"114\" y=\"76\" >0</text>\n",
+       "    <text x=\"178\" y=\"76\" >0</text>\n",
+       "    <text x=\"10\" y=\"92\" >0</text>\n",
+       "    <text x=\"74\" y=\"92\" >0</text>\n",
+       "    <text x=\"138\" y=\"92\" >0</text>\n",
+       "    <text x=\"202\" y=\"92\" >1</text>\n",
+       "    <text x=\"178\" y=\"108\" >1</text>\n",
+       "    <text x=\"138\" y=\"140\" >0</text>\n",
+       "    <text x=\"202\" y=\"140\" >2</text>\n",
+       "    <text x=\"114\" y=\"156\" >2</text>\n",
+       "    <text x=\"178\" y=\"156\" >2</text>\n",
+       "    <text x=\"74\" y=\"188\" >1</text>\n",
+       "    <text x=\"138\" y=\"188\" >0</text>\n",
+       "    <text x=\"202\" y=\"188\" >0</text>\n",
+       "    <text x=\"50\" y=\"204\" >2</text>\n",
+       "    <text x=\"178\" y=\"204\" >3</text>\n",
+       "    <text x=\"138\" y=\"236\" >0</text>\n",
+       "    <text x=\"202\" y=\"236\" >2</text>\n",
+       "    <text x=\"178\" y=\"252\" >4</text>\n",
+       "    <text x=\"138\" y=\"284\" >1</text>\n",
+       "    <text x=\"202\" y=\"284\" >0</text>\n",
+       "    <text x=\"114\" y=\"300\" >5</text>\n",
+       "    <text x=\"178\" y=\"300\" >5</text>\n",
+       "    <text x=\"10\" y=\"332\" >1</text>\n",
+       "    <text x=\"74\" y=\"332\" >1</text>\n",
+       "    <text x=\"138\" y=\"332\" >1</text>\n",
+       "    <text x=\"202\" y=\"332\" >0</text>\n",
+       "    <text x=\"50\" y=\"348\" >3</text>\n",
+       "    <text x=\"178\" y=\"348\" >6</text>\n",
+       "    <text x=\"138\" y=\"380\" >1</text>\n",
+       "    <text x=\"202\" y=\"380\" >1</text>\n",
+       "    <text x=\"178\" y=\"396\" >7</text>\n",
+       "    <text x=\"138\" y=\"428\" >1</text>\n",
+       "    <text x=\"202\" y=\"428\" >2</text>\n",
+       "    <text x=\"114\" y=\"444\" >8</text>\n",
+       "    <text x=\"178\" y=\"444\" >8</text>\n",
+       "    <g>\n",
+       "        <path d=\"M 8,72 A 4,4 0,0,0 4,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"4\" y1=\"76\" x2=\"4\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"8\" y1=\"72\" x2=\"24\" y2=\"72\" class=\"solid\"></line>\n",
+       "        <path d=\"M 24,72 A 4,4 0,0,1 28,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"28\" y1=\"76\" x2=\"28\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <path d=\"M 4,100 A 4,4 0,0,0 8,104\" class=\"nofill\"></path>\n",
+       "        <line x1=\"8\" y1=\"104\" x2=\"24\" y2=\"104\" class=\"solid\"></line>\n",
+       "        <path d=\"M 28,100 A 4,4 0,0,1 24,104\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 72,72 A 4,4 0,0,0 68,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"68\" y1=\"76\" x2=\"68\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"72\" y1=\"72\" x2=\"88\" y2=\"72\" class=\"solid\"></line>\n",
+       "        <path d=\"M 88,72 A 4,4 0,0,1 92,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"92\" y1=\"76\" x2=\"92\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"28\" y1=\"88\" x2=\"68\" y2=\"88\" class=\"solid\"></line>\n",
+       "        <line x1=\"44\" y1=\"88\" x2=\"44\" y2=\"180\" class=\"solid\"></line>\n",
+       "        <path d=\"M 68,100 A 4,4 0,0,0 72,104\" class=\"nofill\"></path>\n",
+       "        <line x1=\"72\" y1=\"104\" x2=\"88\" y2=\"104\" class=\"solid\"></line>\n",
+       "        <path d=\"M 92,100 A 4,4 0,0,1 88,104\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 44,180 A 4,4 0,0,0 48,184\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 136,72 A 4,4 0,0,0 132,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"76\" x2=\"132\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"136\" y1=\"72\" x2=\"152\" y2=\"72\" class=\"solid\"></line>\n",
+       "        <path d=\"M 152,72 A 4,4 0,0,1 156,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"76\" x2=\"156\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"92\" y1=\"88\" x2=\"132\" y2=\"88\" class=\"solid\"></line>\n",
+       "        <line x1=\"108\" y1=\"88\" x2=\"108\" y2=\"132\" class=\"solid\"></line>\n",
+       "        <path d=\"M 132,100 A 4,4 0,0,0 136,104\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"104\" x2=\"152\" y2=\"104\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,100 A 4,4 0,0,1 152,104\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 108,132 A 4,4 0,0,0 112,136\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 200,72 A 4,4 0,0,0 196,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"76\" x2=\"196\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"72\" x2=\"216\" y2=\"72\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,72 A 4,4 0,0,1 220,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"76\" x2=\"220\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"156\" y1=\"88\" x2=\"196\" y2=\"88\" class=\"broken\"></line>\n",
+       "        <path d=\"M 196,100 A 4,4 0,0,0 200,104\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"104\" x2=\"216\" y2=\"104\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,100 A 4,4 0,0,1 216,104\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 136,120 A 4,4 0,0,0 132,124\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"124\" x2=\"132\" y2=\"148\" class=\"solid\"></line>\n",
+       "        <line x1=\"136\" y1=\"120\" x2=\"152\" y2=\"120\" class=\"solid\"></line>\n",
+       "        <path d=\"M 152,120 A 4,4 0,0,1 156,124\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"124\" x2=\"156\" y2=\"148\" class=\"solid\"></line>\n",
+       "        <line x1=\"112\" y1=\"136\" x2=\"132\" y2=\"136\" class=\"solid\"></line>\n",
+       "        <path d=\"M 132,148 A 4,4 0,0,0 136,152\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"152\" x2=\"152\" y2=\"152\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,148 A 4,4 0,0,1 152,152\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 200,120 A 4,4 0,0,0 196,124\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"124\" x2=\"196\" y2=\"148\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"120\" x2=\"216\" y2=\"120\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,120 A 4,4 0,0,1 220,124\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"124\" x2=\"220\" y2=\"148\" class=\"solid\"></line>\n",
+       "        <line x1=\"156\" y1=\"136\" x2=\"196\" y2=\"136\" class=\"broken\"></line>\n",
+       "        <path d=\"M 196,148 A 4,4 0,0,0 200,152\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"152\" x2=\"216\" y2=\"152\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,148 A 4,4 0,0,1 216,152\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 72,168 A 4,4 0,0,0 68,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"68\" y1=\"172\" x2=\"68\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <line x1=\"72\" y1=\"168\" x2=\"88\" y2=\"168\" class=\"solid\"></line>\n",
+       "        <path d=\"M 88,168 A 4,4 0,0,1 92,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"92\" y1=\"172\" x2=\"92\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <line x1=\"48\" y1=\"184\" x2=\"68\" y2=\"184\" class=\"solid\"></line>\n",
+       "        <path d=\"M 68,196 A 4,4 0,0,0 72,200\" class=\"nofill\"></path>\n",
+       "        <line x1=\"72\" y1=\"200\" x2=\"88\" y2=\"200\" class=\"solid\"></line>\n",
+       "        <path d=\"M 92,196 A 4,4 0,0,1 88,200\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 136,168 A 4,4 0,0,0 132,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"172\" x2=\"132\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <line x1=\"136\" y1=\"168\" x2=\"152\" y2=\"168\" class=\"solid\"></line>\n",
+       "        <path d=\"M 152,168 A 4,4 0,0,1 156,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"172\" x2=\"156\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <line x1=\"92\" y1=\"184\" x2=\"132\" y2=\"184\" class=\"solid\"></line>\n",
+       "        <line x1=\"108\" y1=\"184\" x2=\"108\" y2=\"276\" class=\"solid\"></line>\n",
+       "        <path d=\"M 132,196 A 4,4 0,0,0 136,200\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"200\" x2=\"152\" y2=\"200\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,196 A 4,4 0,0,1 152,200\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 108,276 A 4,4 0,0,0 112,280\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 200,168 A 4,4 0,0,0 196,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"172\" x2=\"196\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"168\" x2=\"216\" y2=\"168\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,168 A 4,4 0,0,1 220,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"172\" x2=\"220\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <line x1=\"156\" y1=\"184\" x2=\"196\" y2=\"184\" class=\"broken\"></line>\n",
+       "        <path d=\"M 196,196 A 4,4 0,0,0 200,200\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"200\" x2=\"216\" y2=\"200\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,196 A 4,4 0,0,1 216,200\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 136,216 A 4,4 0,0,0 132,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"220\" x2=\"132\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <line x1=\"136\" y1=\"216\" x2=\"152\" y2=\"216\" class=\"solid\"></line>\n",
+       "        <path d=\"M 152,216 A 4,4 0,0,1 156,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"220\" x2=\"156\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <line x1=\"108\" y1=\"232\" x2=\"132\" y2=\"232\" class=\"solid\"></line>\n",
+       "        <path d=\"M 132,244 A 4,4 0,0,0 136,248\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"248\" x2=\"152\" y2=\"248\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,244 A 4,4 0,0,1 152,248\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 200,216 A 4,4 0,0,0 196,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"220\" x2=\"196\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"216\" x2=\"216\" y2=\"216\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,216 A 4,4 0,0,1 220,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"220\" x2=\"220\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <line x1=\"156\" y1=\"232\" x2=\"196\" y2=\"232\" class=\"broken\"></line>\n",
+       "        <path d=\"M 196,244 A 4,4 0,0,0 200,248\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"248\" x2=\"216\" y2=\"248\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,244 A 4,4 0,0,1 216,248\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 136,264 A 4,4 0,0,0 132,268\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"268\" x2=\"132\" y2=\"292\" class=\"solid\"></line>\n",
+       "        <line x1=\"136\" y1=\"264\" x2=\"152\" y2=\"264\" class=\"solid\"></line>\n",
+       "        <path d=\"M 152,264 A 4,4 0,0,1 156,268\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"268\" x2=\"156\" y2=\"292\" class=\"solid\"></line>\n",
+       "        <line x1=\"112\" y1=\"280\" x2=\"132\" y2=\"280\" class=\"solid\"></line>\n",
+       "        <path d=\"M 132,292 A 4,4 0,0,0 136,296\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"296\" x2=\"152\" y2=\"296\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,292 A 4,4 0,0,1 152,296\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 200,264 A 4,4 0,0,0 196,268\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"268\" x2=\"196\" y2=\"292\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"264\" x2=\"216\" y2=\"264\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,264 A 4,4 0,0,1 220,268\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"268\" x2=\"220\" y2=\"292\" class=\"solid\"></line>\n",
+       "        <line x1=\"156\" y1=\"280\" x2=\"196\" y2=\"280\" class=\"broken\"></line>\n",
+       "        <path d=\"M 196,292 A 4,4 0,0,0 200,296\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"296\" x2=\"216\" y2=\"296\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,292 A 4,4 0,0,1 216,296\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 8,312 A 4,4 0,0,0 4,316\" class=\"nofill\"></path>\n",
+       "        <line x1=\"4\" y1=\"316\" x2=\"4\" y2=\"340\" class=\"solid\"></line>\n",
+       "        <line x1=\"8\" y1=\"312\" x2=\"24\" y2=\"312\" class=\"solid\"></line>\n",
+       "        <path d=\"M 24,312 A 4,4 0,0,1 28,316\" class=\"nofill\"></path>\n",
+       "        <line x1=\"28\" y1=\"316\" x2=\"28\" y2=\"340\" class=\"solid\"></line>\n",
+       "        <path d=\"M 4,340 A 4,4 0,0,0 8,344\" class=\"nofill\"></path>\n",
+       "        <line x1=\"8\" y1=\"344\" x2=\"24\" y2=\"344\" class=\"solid\"></line>\n",
+       "        <path d=\"M 28,340 A 4,4 0,0,1 24,344\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 72,312 A 4,4 0,0,0 68,316\" class=\"nofill\"></path>\n",
+       "        <line x1=\"68\" y1=\"316\" x2=\"68\" y2=\"340\" class=\"solid\"></line>\n",
+       "        <line x1=\"72\" y1=\"312\" x2=\"88\" y2=\"312\" class=\"solid\"></line>\n",
+       "        <path d=\"M 88,312 A 4,4 0,0,1 92,316\" class=\"nofill\"></path>\n",
+       "        <line x1=\"92\" y1=\"316\" x2=\"92\" y2=\"340\" class=\"solid\"></line>\n",
+       "        <line x1=\"28\" y1=\"328\" x2=\"68\" y2=\"328\" class=\"solid\"></line>\n",
+       "        <path d=\"M 68,340 A 4,4 0,0,0 72,344\" class=\"nofill\"></path>\n",
+       "        <line x1=\"72\" y1=\"344\" x2=\"88\" y2=\"344\" class=\"solid\"></line>\n",
+       "        <path d=\"M 92,340 A 4,4 0,0,1 88,344\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 136,312 A 4,4 0,0,0 132,316\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"316\" x2=\"132\" y2=\"340\" class=\"solid\"></line>\n",
+       "        <line x1=\"136\" y1=\"312\" x2=\"152\" y2=\"312\" class=\"solid\"></line>\n",
+       "        <path d=\"M 152,312 A 4,4 0,0,1 156,316\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"316\" x2=\"156\" y2=\"340\" class=\"solid\"></line>\n",
+       "        <line x1=\"92\" y1=\"328\" x2=\"132\" y2=\"328\" class=\"solid\"></line>\n",
+       "        <line x1=\"108\" y1=\"328\" x2=\"108\" y2=\"420\" class=\"solid\"></line>\n",
+       "        <path d=\"M 132,340 A 4,4 0,0,0 136,344\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"344\" x2=\"152\" y2=\"344\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,340 A 4,4 0,0,1 152,344\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 108,420 A 4,4 0,0,0 112,424\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 200,312 A 4,4 0,0,0 196,316\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"316\" x2=\"196\" y2=\"340\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"312\" x2=\"216\" y2=\"312\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,312 A 4,4 0,0,1 220,316\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"316\" x2=\"220\" y2=\"340\" class=\"solid\"></line>\n",
+       "        <line x1=\"156\" y1=\"328\" x2=\"196\" y2=\"328\" class=\"broken\"></line>\n",
+       "        <path d=\"M 196,340 A 4,4 0,0,0 200,344\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"344\" x2=\"216\" y2=\"344\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,340 A 4,4 0,0,1 216,344\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 136,360 A 4,4 0,0,0 132,364\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"364\" x2=\"132\" y2=\"388\" class=\"solid\"></line>\n",
+       "        <line x1=\"136\" y1=\"360\" x2=\"152\" y2=\"360\" class=\"solid\"></line>\n",
+       "        <path d=\"M 152,360 A 4,4 0,0,1 156,364\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"364\" x2=\"156\" y2=\"388\" class=\"solid\"></line>\n",
+       "        <line x1=\"108\" y1=\"376\" x2=\"132\" y2=\"376\" class=\"solid\"></line>\n",
+       "        <path d=\"M 132,388 A 4,4 0,0,0 136,392\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"392\" x2=\"152\" y2=\"392\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,388 A 4,4 0,0,1 152,392\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 200,360 A 4,4 0,0,0 196,364\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"364\" x2=\"196\" y2=\"388\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"360\" x2=\"216\" y2=\"360\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,360 A 4,4 0,0,1 220,364\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"364\" x2=\"220\" y2=\"388\" class=\"solid\"></line>\n",
+       "        <line x1=\"156\" y1=\"376\" x2=\"196\" y2=\"376\" class=\"broken\"></line>\n",
+       "        <path d=\"M 196,388 A 4,4 0,0,0 200,392\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"392\" x2=\"216\" y2=\"392\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,388 A 4,4 0,0,1 216,392\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 136,408 A 4,4 0,0,0 132,412\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"412\" x2=\"132\" y2=\"436\" class=\"solid\"></line>\n",
+       "        <line x1=\"136\" y1=\"408\" x2=\"152\" y2=\"408\" class=\"solid\"></line>\n",
+       "        <path d=\"M 152,408 A 4,4 0,0,1 156,412\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"412\" x2=\"156\" y2=\"436\" class=\"solid\"></line>\n",
+       "        <line x1=\"112\" y1=\"424\" x2=\"132\" y2=\"424\" class=\"solid\"></line>\n",
+       "        <path d=\"M 132,436 A 4,4 0,0,0 136,440\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"440\" x2=\"152\" y2=\"440\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,436 A 4,4 0,0,1 152,440\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 200,408 A 4,4 0,0,0 196,412\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"412\" x2=\"196\" y2=\"436\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"408\" x2=\"216\" y2=\"408\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,408 A 4,4 0,0,1 220,412\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"412\" x2=\"220\" y2=\"436\" class=\"solid\"></line>\n",
+       "        <line x1=\"156\" y1=\"424\" x2=\"196\" y2=\"424\" class=\"broken\"></line>\n",
+       "        <path d=\"M 196,436 A 4,4 0,0,0 200,440\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"440\" x2=\"216\" y2=\"440\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,436 A 4,4 0,0,1 216,440\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "</svg>"
+      ],
+      "text/plain": [
+       ".---.   .---.   .---.   .---.\n",
+       "|i0 |p0 |i1 |p1 |i2 |p2 |i3 |\n",
+       "`---'   `---'   `---'   `---'\n",
+       "=============================\n",
+       ".--.  0 .--.  0 .--.  0 .--.\n",
+       "|0 |-+--|0 |-+--|0 |~~~~|1 |\n",
+       "`--' |  `--' |  `--'  1 `--'\n",
+       "     |       |  .--.    .--.\n",
+       "     |       `--|0 |~~~~|2 |\n",
+       "     |        2 `--'  2 `--'\n",
+       "     |  .--.    .--.    .--.\n",
+       "     `--|1 |-+--|0 |~~~~|0 |\n",
+       "      2 `--' |  `--'  3 `--'\n",
+       "             |  .--.    .--.\n",
+       "             |--|0 |~~~~|2 |\n",
+       "             |  `--'  4 `--'\n",
+       "             |  .--.    .--.\n",
+       "             `--|1 |~~~~|0 |\n",
+       "              5 `--'  5 `--'\n",
+       ".--.    .--.    .--.    .--.\n",
+       "|1 |----|1 |-+--|1 |~~~~|0 |\n",
+       "`--'  3 `--' |  `--'  6 `--'\n",
+       "             |  .--.    .--.\n",
+       "             |--|1 |~~~~|1 |\n",
+       "             |  `--'  7 `--'\n",
+       "             |  .--.    .--.\n",
+       "             `--|1 |~~~~|2 |\n",
+       "              8 `--'  8 `--'"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "text/markdown": [
+       "# `DC-DC-DC-S`"
+      ],
+      "text/plain": [
+       "<IPython.core.display.Markdown object>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "image/svg+xml": [
+       "<svg xmlns=\"http://www.w3.org/2000/svg\" width=\"240\" height=\"304\">\n",
+       "    <style>line, path, circle,rect,polygon {\n",
+       "                          stroke: black;\n",
+       "                          stroke-width: 2;\n",
+       "                          stroke-opacity: 1;\n",
+       "                          fill-opacity: 1;\n",
+       "                          stroke-linecap: round;\n",
+       "                          stroke-linejoin: miter;\n",
+       "                        }\n",
+       "\n",
+       "                    text {\n",
+       "                        /* This fix the spacing bug in svg text*/\n",
+       "                        white-space: pre;\n",
+       "                        fill: black;\n",
+       "                        }\n",
+       "                        rect.backdrop{\n",
+       "                            stroke: none;\n",
+       "                            fill: white;\n",
+       "                        }\n",
+       "                        .broken{\n",
+       "                            stroke-dasharray: 8;\n",
+       "                        }\n",
+       "                        .filled{\n",
+       "                            fill: black;\n",
+       "                        }\n",
+       "                        .bg_filled{\n",
+       "                            fill: white;\n",
+       "                        }\n",
+       "                        .nofill{\n",
+       "                            fill: white;\n",
+       "                        }\n",
+       "\n",
+       "                        text {\n",
+       "                         font-family: monospace;\n",
+       "                         font-size: 14px;\n",
+       "                        }\n",
+       "\n",
+       "                        .end_marked_arrow{\n",
+       "                            marker-end: url(#arrow);\n",
+       "                         }\n",
+       "                        .start_marked_arrow{\n",
+       "                            marker-start: url(#arrow);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_diamond{\n",
+       "                            marker-end: url(#diamond);\n",
+       "                         }\n",
+       "                        .start_marked_diamond{\n",
+       "                            marker-start: url(#diamond);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_circle{\n",
+       "                            marker-end: url(#circle);\n",
+       "                         }\n",
+       "                        .start_marked_circle{\n",
+       "                            marker-start: url(#circle);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_open_circle{\n",
+       "                            marker-end: url(#open_circle);\n",
+       "                         }\n",
+       "                        .start_marked_open_circle{\n",
+       "                            marker-start: url(#open_circle);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_big_open_circle{\n",
+       "                            marker-end: url(#big_open_circle);\n",
+       "                         }\n",
+       "                        .start_marked_big_open_circle{\n",
+       "                            marker-start: url(#big_open_circle);\n",
+       "                         }\n",
+       "\n",
+       "                         \n",
+       "                        </style>\n",
+       "    <defs>\n",
+       "        <marker id=\"arrow\" viewBox=\"-2 -2 8 8\" refX=\"4\" refY=\"2\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <polygon points=\"0,0 0,4 4,2 0,0\"></polygon>\n",
+       "        </marker>\n",
+       "        <marker id=\"diamond\" viewBox=\"-2 -2 8 8\" refX=\"4\" refY=\"2\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <polygon points=\"0,2 2,0 4,2 2,4 0,2\"></polygon>\n",
+       "        </marker>\n",
+       "        <marker id=\"circle\" viewBox=\"0 0 8 8\" refX=\"4\" refY=\"4\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <circle cx=\"4\" cy=\"4\" r=\"2\" class=\"filled\"></circle>\n",
+       "        </marker>\n",
+       "        <marker id=\"open_circle\" viewBox=\"0 0 8 8\" refX=\"4\" refY=\"4\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <circle cx=\"4\" cy=\"4\" r=\"2\" class=\"bg_filled\"></circle>\n",
+       "        </marker>\n",
+       "        <marker id=\"big_open_circle\" viewBox=\"0 0 8 8\" refX=\"4\" refY=\"4\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <circle cx=\"4\" cy=\"4\" r=\"3\" class=\"bg_filled\"></circle>\n",
+       "        </marker>\n",
+       "    </defs>\n",
+       "    <rect x=\"4\" y=\"8\" width=\"32\" height=\"32\" class=\"solid nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"10\" y=\"28\" >i0</text>\n",
+       "    <rect x=\"68\" y=\"8\" width=\"32\" height=\"32\" class=\"solid nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"74\" y=\"28\" >i1</text>\n",
+       "    <rect x=\"132\" y=\"8\" width=\"32\" height=\"32\" class=\"solid nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"138\" y=\"28\" >i2</text>\n",
+       "    <rect x=\"196\" y=\"8\" width=\"32\" height=\"32\" class=\"solid nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"202\" y=\"28\" >i3</text>\n",
+       "    <text x=\"42\" y=\"28\" >p0</text>\n",
+       "    <text x=\"106\" y=\"28\" >p1</text>\n",
+       "    <text x=\"170\" y=\"28\" >p2</text>\n",
+       "    <line x1=\"0\" y1=\"54\" x2=\"232\" y2=\"54\" class=\"solid\"></line>\n",
+       "    <line x1=\"0\" y1=\"58\" x2=\"232\" y2=\"58\" class=\"solid\"></line>\n",
+       "    <text x=\"50\" y=\"76\" >0</text>\n",
+       "    <text x=\"114\" y=\"76\" >0</text>\n",
+       "    <text x=\"178\" y=\"76\" >0</text>\n",
+       "    <text x=\"10\" y=\"92\" >0</text>\n",
+       "    <text x=\"74\" y=\"92\" >0</text>\n",
+       "    <text x=\"138\" y=\"92\" >0</text>\n",
+       "    <text x=\"202\" y=\"92\" >1</text>\n",
+       "    <text x=\"114\" y=\"108\" >1</text>\n",
+       "    <text x=\"202\" y=\"108\" >2</text>\n",
+       "    <text x=\"178\" y=\"124\" >2</text>\n",
+       "    <text x=\"74\" y=\"140\" >1</text>\n",
+       "    <text x=\"138\" y=\"140\" >0</text>\n",
+       "    <text x=\"202\" y=\"140\" >0</text>\n",
+       "    <text x=\"50\" y=\"156\" >2</text>\n",
+       "    <text x=\"202\" y=\"156\" >2</text>\n",
+       "    <text x=\"178\" y=\"172\" >4</text>\n",
+       "    <text x=\"138\" y=\"188\" >1</text>\n",
+       "    <text x=\"202\" y=\"188\" >0</text>\n",
+       "    <text x=\"114\" y=\"204\" >3</text>\n",
+       "    <text x=\"178\" y=\"204\" >5</text>\n",
+       "    <text x=\"10\" y=\"236\" >1</text>\n",
+       "    <text x=\"74\" y=\"236\" >1</text>\n",
+       "    <text x=\"138\" y=\"236\" >1</text>\n",
+       "    <text x=\"202\" y=\"236\" >0</text>\n",
+       "    <text x=\"50\" y=\"252\" >3</text>\n",
+       "    <text x=\"114\" y=\"252\" >4</text>\n",
+       "    <text x=\"202\" y=\"252\" >1</text>\n",
+       "    <text x=\"202\" y=\"268\" >2</text>\n",
+       "    <text x=\"178\" y=\"284\" >8</text>\n",
+       "    <g>\n",
+       "        <path d=\"M 8,72 A 4,4 0,0,0 4,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"4\" y1=\"76\" x2=\"4\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"8\" y1=\"72\" x2=\"24\" y2=\"72\" class=\"solid\"></line>\n",
+       "        <path d=\"M 24,72 A 4,4 0,0,1 28,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"28\" y1=\"76\" x2=\"28\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <path d=\"M 4,100 A 4,4 0,0,0 8,104\" class=\"nofill\"></path>\n",
+       "        <line x1=\"8\" y1=\"104\" x2=\"24\" y2=\"104\" class=\"solid\"></line>\n",
+       "        <path d=\"M 28,100 A 4,4 0,0,1 24,104\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 72,72 A 4,4 0,0,0 68,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"68\" y1=\"76\" x2=\"68\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"72\" y1=\"72\" x2=\"88\" y2=\"72\" class=\"solid\"></line>\n",
+       "        <path d=\"M 88,72 A 4,4 0,0,1 92,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"92\" y1=\"76\" x2=\"92\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"28\" y1=\"88\" x2=\"68\" y2=\"88\" class=\"solid\"></line>\n",
+       "        <line x1=\"44\" y1=\"88\" x2=\"44\" y2=\"132\" class=\"solid\"></line>\n",
+       "        <path d=\"M 68,100 A 4,4 0,0,0 72,104\" class=\"nofill\"></path>\n",
+       "        <line x1=\"72\" y1=\"104\" x2=\"88\" y2=\"104\" class=\"solid\"></line>\n",
+       "        <path d=\"M 92,100 A 4,4 0,0,1 88,104\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 44,132 A 4,4 0,0,0 48,136\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 136,72 A 4,4 0,0,0 132,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"76\" x2=\"132\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"136\" y1=\"72\" x2=\"152\" y2=\"72\" class=\"solid\"></line>\n",
+       "        <path d=\"M 152,72 A 4,4 0,0,1 156,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"76\" x2=\"156\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"92\" y1=\"88\" x2=\"132\" y2=\"88\" class=\"solid\"></line>\n",
+       "        <path d=\"M 132,100 A 4,4 0,0,0 136,104\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"104\" x2=\"152\" y2=\"104\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,100 A 4,4 0,0,1 152,104\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 200,72 A 4,4 0,0,0 196,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"76\" x2=\"196\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"72\" x2=\"216\" y2=\"72\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,72 A 4,4 0,0,1 220,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"76\" x2=\"220\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <line x1=\"156\" y1=\"88\" x2=\"196\" y2=\"88\" class=\"solid\"></line>\n",
+       "        <line x1=\"172\" y1=\"88\" x2=\"172\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <path d=\"M 172,100 A 4,4 0,0,0 176,104\" class=\"nofill\"></path>\n",
+       "        <line x1=\"176\" y1=\"104\" x2=\"196\" y2=\"104\" class=\"solid\"></line>\n",
+       "        <line x1=\"196\" y1=\"120\" x2=\"220\" y2=\"120\" class=\"solid\"></line>\n",
+       "        <line x1=\"196\" y1=\"168\" x2=\"220\" y2=\"168\" class=\"solid\"></line>\n",
+       "        <path d=\"M 196,196 A 4,4 0,0,0 200,200\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"200\" x2=\"216\" y2=\"200\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,196 A 4,4 0,0,1 216,200\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 72,120 A 4,4 0,0,0 68,124\" class=\"nofill\"></path>\n",
+       "        <line x1=\"68\" y1=\"124\" x2=\"68\" y2=\"148\" class=\"solid\"></line>\n",
+       "        <line x1=\"72\" y1=\"120\" x2=\"88\" y2=\"120\" class=\"solid\"></line>\n",
+       "        <path d=\"M 88,120 A 4,4 0,0,1 92,124\" class=\"nofill\"></path>\n",
+       "        <line x1=\"92\" y1=\"124\" x2=\"92\" y2=\"148\" class=\"solid\"></line>\n",
+       "        <line x1=\"48\" y1=\"136\" x2=\"68\" y2=\"136\" class=\"solid\"></line>\n",
+       "        <path d=\"M 68,148 A 4,4 0,0,0 72,152\" class=\"nofill\"></path>\n",
+       "        <line x1=\"72\" y1=\"152\" x2=\"88\" y2=\"152\" class=\"solid\"></line>\n",
+       "        <path d=\"M 92,148 A 4,4 0,0,1 88,152\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 136,120 A 4,4 0,0,0 132,124\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"124\" x2=\"132\" y2=\"148\" class=\"solid\"></line>\n",
+       "        <line x1=\"136\" y1=\"120\" x2=\"152\" y2=\"120\" class=\"solid\"></line>\n",
+       "        <path d=\"M 152,120 A 4,4 0,0,1 156,124\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"124\" x2=\"156\" y2=\"148\" class=\"solid\"></line>\n",
+       "        <line x1=\"92\" y1=\"136\" x2=\"132\" y2=\"136\" class=\"solid\"></line>\n",
+       "        <line x1=\"108\" y1=\"136\" x2=\"108\" y2=\"180\" class=\"solid\"></line>\n",
+       "        <line x1=\"156\" y1=\"136\" x2=\"196\" y2=\"136\" class=\"solid\"></line>\n",
+       "        <line x1=\"172\" y1=\"136\" x2=\"172\" y2=\"148\" class=\"solid\"></line>\n",
+       "        <path d=\"M 132,148 A 4,4 0,0,0 136,152\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"152\" x2=\"152\" y2=\"152\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,148 A 4,4 0,0,1 152,152\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 172,148 A 4,4 0,0,0 176,152\" class=\"nofill\"></path>\n",
+       "        <line x1=\"176\" y1=\"152\" x2=\"196\" y2=\"152\" class=\"solid\"></line>\n",
+       "        <path d=\"M 108,180 A 4,4 0,0,0 112,184\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 136,168 A 4,4 0,0,0 132,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"172\" x2=\"132\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <line x1=\"136\" y1=\"168\" x2=\"152\" y2=\"168\" class=\"solid\"></line>\n",
+       "        <path d=\"M 152,168 A 4,4 0,0,1 156,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"172\" x2=\"156\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <line x1=\"112\" y1=\"184\" x2=\"132\" y2=\"184\" class=\"solid\"></line>\n",
+       "        <line x1=\"156\" y1=\"184\" x2=\"196\" y2=\"184\" class=\"solid\"></line>\n",
+       "        <path d=\"M 132,196 A 4,4 0,0,0 136,200\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"200\" x2=\"152\" y2=\"200\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,196 A 4,4 0,0,1 152,200\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 8,216 A 4,4 0,0,0 4,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"4\" y1=\"220\" x2=\"4\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <line x1=\"8\" y1=\"216\" x2=\"24\" y2=\"216\" class=\"solid\"></line>\n",
+       "        <path d=\"M 24,216 A 4,4 0,0,1 28,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"28\" y1=\"220\" x2=\"28\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <path d=\"M 4,244 A 4,4 0,0,0 8,248\" class=\"nofill\"></path>\n",
+       "        <line x1=\"8\" y1=\"248\" x2=\"24\" y2=\"248\" class=\"solid\"></line>\n",
+       "        <path d=\"M 28,244 A 4,4 0,0,1 24,248\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 72,216 A 4,4 0,0,0 68,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"68\" y1=\"220\" x2=\"68\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <line x1=\"72\" y1=\"216\" x2=\"88\" y2=\"216\" class=\"solid\"></line>\n",
+       "        <path d=\"M 88,216 A 4,4 0,0,1 92,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"92\" y1=\"220\" x2=\"92\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <line x1=\"28\" y1=\"232\" x2=\"68\" y2=\"232\" class=\"solid\"></line>\n",
+       "        <path d=\"M 68,244 A 4,4 0,0,0 72,248\" class=\"nofill\"></path>\n",
+       "        <line x1=\"72\" y1=\"248\" x2=\"88\" y2=\"248\" class=\"solid\"></line>\n",
+       "        <path d=\"M 92,244 A 4,4 0,0,1 88,248\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 136,216 A 4,4 0,0,0 132,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"220\" x2=\"132\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <line x1=\"136\" y1=\"216\" x2=\"152\" y2=\"216\" class=\"solid\"></line>\n",
+       "        <path d=\"M 152,216 A 4,4 0,0,1 156,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"220\" x2=\"156\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <line x1=\"92\" y1=\"232\" x2=\"132\" y2=\"232\" class=\"solid\"></line>\n",
+       "        <path d=\"M 132,244 A 4,4 0,0,0 136,248\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"248\" x2=\"152\" y2=\"248\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,244 A 4,4 0,0,1 152,248\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 200,216 A 4,4 0,0,0 196,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"220\" x2=\"196\" y2=\"276\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"216\" x2=\"216\" y2=\"216\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,216 A 4,4 0,0,1 220,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"220\" x2=\"220\" y2=\"276\" class=\"solid\"></line>\n",
+       "        <line x1=\"156\" y1=\"232\" x2=\"196\" y2=\"232\" class=\"solid\"></line>\n",
+       "        <line x1=\"172\" y1=\"232\" x2=\"172\" y2=\"260\" class=\"solid\"></line>\n",
+       "        <line x1=\"172\" y1=\"248\" x2=\"196\" y2=\"248\" class=\"solid\"></line>\n",
+       "        <path d=\"M 172,260 A 4,4 0,0,0 176,264\" class=\"nofill\"></path>\n",
+       "        <line x1=\"176\" y1=\"264\" x2=\"196\" y2=\"264\" class=\"solid\"></line>\n",
+       "        <path d=\"M 196,276 A 4,4 0,0,0 200,280\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"280\" x2=\"216\" y2=\"280\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,276 A 4,4 0,0,1 216,280\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "</svg>"
+      ],
+      "text/plain": [
+       ".---.   .---.   .---.   .---.\n",
+       "|i0 |p0 |i1 |p1 |i2 |p2 |i3 |\n",
+       "`---'   `---'   `---'   `---'\n",
+       "=============================\n",
+       ".--.  0 .--.  0 .--.  0 .--.\n",
+       "|0 |-+--|0 |----|0 |-+--|1 |\n",
+       "`--' |  `--'  1 `--' `--|2 |\n",
+       "     |  .--.    .--.  2 |--|\n",
+       "     `--|1 |-+--|0 |-+--|0 |\n",
+       "      2 `--' |  `--' `--|2 |\n",
+       "             |  .--.  4 |--|\n",
+       "             `--|1 |----|0 |\n",
+       "              3 `--'  5 `--'\n",
+       ".--.    .--.    .--.    .--.\n",
+       "|1 |----|1 |----|1 |-+--|0 |\n",
+       "`--'  3 `--'  4 `--' |--|1 |\n",
+       "                     `--|2 |\n",
+       "                      8 `--'"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "sparsities = [\"S\", \"DC\"]\n",
+    "for sparsity in itertools.product(sparsities, sparsities, sparsities, [\"S\"]):\n",
+    "    structure = \"-\".join(sparsity)\n",
+    "    IPython.display.display(IPython.display.Markdown(f\"# `{structure}`\"))\n",
+    "    IPython.display.display(SPZ(indices, structure=structure))"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "eec6fad5",
+   "metadata": {},
+   "source": [
+    "## Display sparse structures, `shape=(2, 2, 2, 3)`\n",
+    "\n",
+    "Hyphonated boxes indicate indices that don't need stored.\n",
+    "\n",
+    "For compressed sparse dimensions, `C`, some repeated pointer values may be skipped if there is no room"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 8,
+   "id": "c8e1d2a7",
+   "metadata": {
+    "scrolled": false
+   },
+   "outputs": [
+    {
+     "data": {
+      "text/markdown": [
+       "# S-S-C-S"
+      ],
+      "text/plain": [
+       "<IPython.core.display.Markdown object>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "image/svg+xml": [
+       "<svg xmlns=\"http://www.w3.org/2000/svg\" width=\"240\" height=\"400\">\n",
+       "    <style>line, path, circle,rect,polygon {\n",
+       "                          stroke: black;\n",
+       "                          stroke-width: 2;\n",
+       "                          stroke-opacity: 1;\n",
+       "                          fill-opacity: 1;\n",
+       "                          stroke-linecap: round;\n",
+       "                          stroke-linejoin: miter;\n",
+       "                        }\n",
+       "\n",
+       "                    text {\n",
+       "                        /* This fix the spacing bug in svg text*/\n",
+       "                        white-space: pre;\n",
+       "                        fill: black;\n",
+       "                        }\n",
+       "                        rect.backdrop{\n",
+       "                            stroke: none;\n",
+       "                            fill: white;\n",
+       "                        }\n",
+       "                        .broken{\n",
+       "                            stroke-dasharray: 8;\n",
+       "                        }\n",
+       "                        .filled{\n",
+       "                            fill: black;\n",
+       "                        }\n",
+       "                        .bg_filled{\n",
+       "                            fill: white;\n",
+       "                        }\n",
+       "                        .nofill{\n",
+       "                            fill: white;\n",
+       "                        }\n",
+       "\n",
+       "                        text {\n",
+       "                         font-family: monospace;\n",
+       "                         font-size: 14px;\n",
+       "                        }\n",
+       "\n",
+       "                        .end_marked_arrow{\n",
+       "                            marker-end: url(#arrow);\n",
+       "                         }\n",
+       "                        .start_marked_arrow{\n",
+       "                            marker-start: url(#arrow);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_diamond{\n",
+       "                            marker-end: url(#diamond);\n",
+       "                         }\n",
+       "                        .start_marked_diamond{\n",
+       "                            marker-start: url(#diamond);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_circle{\n",
+       "                            marker-end: url(#circle);\n",
+       "                         }\n",
+       "                        .start_marked_circle{\n",
+       "                            marker-start: url(#circle);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_open_circle{\n",
+       "                            marker-end: url(#open_circle);\n",
+       "                         }\n",
+       "                        .start_marked_open_circle{\n",
+       "                            marker-start: url(#open_circle);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_big_open_circle{\n",
+       "                            marker-end: url(#big_open_circle);\n",
+       "                         }\n",
+       "                        .start_marked_big_open_circle{\n",
+       "                            marker-start: url(#big_open_circle);\n",
+       "                         }\n",
+       "\n",
+       "                         \n",
+       "                        </style>\n",
+       "    <defs>\n",
+       "        <marker id=\"arrow\" viewBox=\"-2 -2 8 8\" refX=\"4\" refY=\"2\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <polygon points=\"0,0 0,4 4,2 0,0\"></polygon>\n",
+       "        </marker>\n",
+       "        <marker id=\"diamond\" viewBox=\"-2 -2 8 8\" refX=\"4\" refY=\"2\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <polygon points=\"0,2 2,0 4,2 2,4 0,2\"></polygon>\n",
+       "        </marker>\n",
+       "        <marker id=\"circle\" viewBox=\"0 0 8 8\" refX=\"4\" refY=\"4\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <circle cx=\"4\" cy=\"4\" r=\"2\" class=\"filled\"></circle>\n",
+       "        </marker>\n",
+       "        <marker id=\"open_circle\" viewBox=\"0 0 8 8\" refX=\"4\" refY=\"4\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <circle cx=\"4\" cy=\"4\" r=\"2\" class=\"bg_filled\"></circle>\n",
+       "        </marker>\n",
+       "        <marker id=\"big_open_circle\" viewBox=\"0 0 8 8\" refX=\"4\" refY=\"4\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <circle cx=\"4\" cy=\"4\" r=\"3\" class=\"bg_filled\"></circle>\n",
+       "        </marker>\n",
+       "    </defs>\n",
+       "    <rect x=\"4\" y=\"8\" width=\"32\" height=\"32\" class=\"solid nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"10\" y=\"28\" >i0</text>\n",
+       "    <rect x=\"68\" y=\"8\" width=\"32\" height=\"32\" class=\"solid nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"74\" y=\"28\" >i1</text>\n",
+       "    <rect x=\"132\" y=\"8\" width=\"32\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"138\" y=\"28\" >i2</text>\n",
+       "    <rect x=\"196\" y=\"8\" width=\"32\" height=\"32\" class=\"solid nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"202\" y=\"28\" >i3</text>\n",
+       "    <rect x=\"132\" y=\"72\" width=\"24\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"138\" y=\"92\" >0</text>\n",
+       "    <rect x=\"132\" y=\"168\" width=\"24\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"138\" y=\"188\" >0</text>\n",
+       "    <rect x=\"132\" y=\"216\" width=\"24\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"138\" y=\"236\" >1</text>\n",
+       "    <rect x=\"132\" y=\"312\" width=\"24\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"138\" y=\"332\" >1</text>\n",
+       "    <text x=\"42\" y=\"28\" >p0</text>\n",
+       "    <text x=\"106\" y=\"28\" >p1</text>\n",
+       "    <text x=\"170\" y=\"28\" >p2</text>\n",
+       "    <line x1=\"0\" y1=\"54\" x2=\"232\" y2=\"54\" class=\"solid\"></line>\n",
+       "    <line x1=\"0\" y1=\"58\" x2=\"232\" y2=\"58\" class=\"solid\"></line>\n",
+       "    <text x=\"50\" y=\"76\" >0</text>\n",
+       "    <text x=\"114\" y=\"76\" >0</text>\n",
+       "    <text x=\"178\" y=\"76\" >0</text>\n",
+       "    <text x=\"10\" y=\"92\" >0</text>\n",
+       "    <text x=\"74\" y=\"92\" >0</text>\n",
+       "    <text x=\"202\" y=\"92\" >1</text>\n",
+       "    <text x=\"50\" y=\"108\" >1</text>\n",
+       "    <text x=\"114\" y=\"108\" >1</text>\n",
+       "    <text x=\"202\" y=\"108\" >2</text>\n",
+       "    <text x=\"178\" y=\"124\" >2</text>\n",
+       "    <text x=\"10\" y=\"140\" >0</text>\n",
+       "    <text x=\"74\" y=\"140\" >0</text>\n",
+       "    <text x=\"138\" y=\"140\" >1</text>\n",
+       "    <text x=\"50\" y=\"156\" >2</text>\n",
+       "    <text x=\"114\" y=\"156\" >2</text>\n",
+       "    <text x=\"178\" y=\"172\" >2</text>\n",
+       "    <text x=\"10\" y=\"188\" >0</text>\n",
+       "    <text x=\"74\" y=\"188\" >1</text>\n",
+       "    <text x=\"202\" y=\"188\" >0</text>\n",
+       "    <text x=\"50\" y=\"204\" >3</text>\n",
+       "    <text x=\"114\" y=\"204\" >3</text>\n",
+       "    <text x=\"202\" y=\"204\" >2</text>\n",
+       "    <text x=\"178\" y=\"220\" >4</text>\n",
+       "    <text x=\"10\" y=\"236\" >0</text>\n",
+       "    <text x=\"74\" y=\"236\" >1</text>\n",
+       "    <text x=\"202\" y=\"236\" >0</text>\n",
+       "    <text x=\"50\" y=\"252\" >4</text>\n",
+       "    <text x=\"114\" y=\"252\" >4</text>\n",
+       "    <text x=\"178\" y=\"252\" >5</text>\n",
+       "    <text x=\"10\" y=\"284\" >1</text>\n",
+       "    <text x=\"74\" y=\"284\" >1</text>\n",
+       "    <text x=\"138\" y=\"284\" >0</text>\n",
+       "    <text x=\"50\" y=\"300\" >5</text>\n",
+       "    <text x=\"114\" y=\"300\" >5</text>\n",
+       "    <text x=\"178\" y=\"316\" >5</text>\n",
+       "    <text x=\"10\" y=\"332\" >1</text>\n",
+       "    <text x=\"74\" y=\"332\" >1</text>\n",
+       "    <text x=\"202\" y=\"332\" >0</text>\n",
+       "    <text x=\"50\" y=\"348\" >6</text>\n",
+       "    <text x=\"114\" y=\"348\" >6</text>\n",
+       "    <text x=\"202\" y=\"348\" >1</text>\n",
+       "    <text x=\"202\" y=\"364\" >2</text>\n",
+       "    <text x=\"178\" y=\"380\" >8</text>\n",
+       "    <g>\n",
+       "        <path d=\"M 8,72 A 4,4 0,0,0 4,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"4\" y1=\"76\" x2=\"4\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"8\" y1=\"72\" x2=\"24\" y2=\"72\" class=\"solid\"></line>\n",
+       "        <path d=\"M 24,72 A 4,4 0,0,1 28,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"28\" y1=\"76\" x2=\"28\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <path d=\"M 4,100 A 4,4 0,0,0 8,104\" class=\"nofill\"></path>\n",
+       "        <line x1=\"8\" y1=\"104\" x2=\"24\" y2=\"104\" class=\"solid\"></line>\n",
+       "        <path d=\"M 28,100 A 4,4 0,0,1 24,104\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 72,72 A 4,4 0,0,0 68,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"68\" y1=\"76\" x2=\"68\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"72\" y1=\"72\" x2=\"88\" y2=\"72\" class=\"solid\"></line>\n",
+       "        <path d=\"M 88,72 A 4,4 0,0,1 92,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"92\" y1=\"76\" x2=\"92\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"28\" y1=\"88\" x2=\"68\" y2=\"88\" class=\"broken\"></line>\n",
+       "        <line x1=\"92\" y1=\"88\" x2=\"128\" y2=\"88\" class=\"broken\"></line>\n",
+       "        <path d=\"M 68,100 A 4,4 0,0,0 72,104\" class=\"nofill\"></path>\n",
+       "        <line x1=\"72\" y1=\"104\" x2=\"88\" y2=\"104\" class=\"solid\"></line>\n",
+       "        <path d=\"M 92,100 A 4,4 0,0,1 88,104\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 200,72 A 4,4 0,0,0 196,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"76\" x2=\"196\" y2=\"116\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"72\" x2=\"216\" y2=\"72\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,72 A 4,4 0,0,1 220,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"76\" x2=\"220\" y2=\"116\" class=\"solid\"></line>\n",
+       "        <line x1=\"160\" y1=\"88\" x2=\"196\" y2=\"88\" class=\"solid\"></line>\n",
+       "        <line x1=\"172\" y1=\"88\" x2=\"172\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <path d=\"M 172,100 A 4,4 0,0,0 176,104\" class=\"nofill\"></path>\n",
+       "        <line x1=\"176\" y1=\"104\" x2=\"196\" y2=\"104\" class=\"solid\"></line>\n",
+       "        <path d=\"M 196,116 A 4,4 0,0,0 200,120\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"120\" x2=\"216\" y2=\"120\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,116 A 4,4 0,0,1 216,120\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 8,120 A 4,4 0,0,0 4,124\" class=\"nofill\"></path>\n",
+       "        <line x1=\"4\" y1=\"124\" x2=\"4\" y2=\"148\" class=\"solid\"></line>\n",
+       "        <line x1=\"8\" y1=\"120\" x2=\"24\" y2=\"120\" class=\"solid\"></line>\n",
+       "        <path d=\"M 24,120 A 4,4 0,0,1 28,124\" class=\"nofill\"></path>\n",
+       "        <line x1=\"28\" y1=\"124\" x2=\"28\" y2=\"148\" class=\"solid\"></line>\n",
+       "        <path d=\"M 4,148 A 4,4 0,0,0 8,152\" class=\"nofill\"></path>\n",
+       "        <line x1=\"8\" y1=\"152\" x2=\"24\" y2=\"152\" class=\"solid\"></line>\n",
+       "        <path d=\"M 28,148 A 4,4 0,0,1 24,152\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 72,120 A 4,4 0,0,0 68,124\" class=\"nofill\"></path>\n",
+       "        <line x1=\"68\" y1=\"124\" x2=\"68\" y2=\"148\" class=\"solid\"></line>\n",
+       "        <line x1=\"72\" y1=\"120\" x2=\"88\" y2=\"120\" class=\"solid\"></line>\n",
+       "        <path d=\"M 88,120 A 4,4 0,0,1 92,124\" class=\"nofill\"></path>\n",
+       "        <line x1=\"92\" y1=\"124\" x2=\"92\" y2=\"148\" class=\"solid\"></line>\n",
+       "        <line x1=\"28\" y1=\"136\" x2=\"68\" y2=\"136\" class=\"broken\"></line>\n",
+       "        <line x1=\"92\" y1=\"136\" x2=\"128\" y2=\"136\" class=\"broken\"></line>\n",
+       "        <path d=\"M 68,148 A 4,4 0,0,0 72,152\" class=\"nofill\"></path>\n",
+       "        <line x1=\"72\" y1=\"152\" x2=\"88\" y2=\"152\" class=\"solid\"></line>\n",
+       "        <path d=\"M 92,148 A 4,4 0,0,1 88,152\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 136,120 A 4,4 0,0,0 132,124\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"124\" x2=\"132\" y2=\"148\" class=\"broken\"></line>\n",
+       "        <line x1=\"136\" y1=\"120\" x2=\"152\" y2=\"120\" class=\"broken\"></line>\n",
+       "        <path d=\"M 152,120 A 4,4 0,0,1 156,124\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 152,120 A 8,8 0,0,1 158,124\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"124\" x2=\"156\" y2=\"148\" class=\"broken\"></line>\n",
+       "        <line x1=\"158\" y1=\"124\" x2=\"160\" y2=\"128\" class=\"solid\"></line>\n",
+       "        <path d=\"M 160,128 A 16,16 0,0,1 160,144\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 132,148 A 4,4 0,0,0 136,152\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"152\" x2=\"152\" y2=\"152\" class=\"broken\"></line>\n",
+       "        <line x1=\"160\" y1=\"144\" x2=\"158\" y2=\"148\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,148 A 4,4 0,0,1 152,152\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 158,148 A 8,8 0,0,1 152,152\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 8,168 A 4,4 0,0,0 4,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"4\" y1=\"172\" x2=\"4\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <line x1=\"8\" y1=\"168\" x2=\"24\" y2=\"168\" class=\"solid\"></line>\n",
+       "        <path d=\"M 24,168 A 4,4 0,0,1 28,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"28\" y1=\"172\" x2=\"28\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <path d=\"M 4,196 A 4,4 0,0,0 8,200\" class=\"nofill\"></path>\n",
+       "        <line x1=\"8\" y1=\"200\" x2=\"24\" y2=\"200\" class=\"solid\"></line>\n",
+       "        <path d=\"M 28,196 A 4,4 0,0,1 24,200\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 72,168 A 4,4 0,0,0 68,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"68\" y1=\"172\" x2=\"68\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <line x1=\"72\" y1=\"168\" x2=\"88\" y2=\"168\" class=\"solid\"></line>\n",
+       "        <path d=\"M 88,168 A 4,4 0,0,1 92,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"92\" y1=\"172\" x2=\"92\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <line x1=\"28\" y1=\"184\" x2=\"68\" y2=\"184\" class=\"broken\"></line>\n",
+       "        <line x1=\"92\" y1=\"184\" x2=\"128\" y2=\"184\" class=\"broken\"></line>\n",
+       "        <path d=\"M 68,196 A 4,4 0,0,0 72,200\" class=\"nofill\"></path>\n",
+       "        <line x1=\"72\" y1=\"200\" x2=\"88\" y2=\"200\" class=\"solid\"></line>\n",
+       "        <path d=\"M 92,196 A 4,4 0,0,1 88,200\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 200,168 A 4,4 0,0,0 196,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"172\" x2=\"196\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"168\" x2=\"216\" y2=\"168\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,168 A 4,4 0,0,1 220,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"172\" x2=\"220\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <line x1=\"160\" y1=\"184\" x2=\"196\" y2=\"184\" class=\"solid\"></line>\n",
+       "        <line x1=\"172\" y1=\"184\" x2=\"172\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <path d=\"M 172,196 A 4,4 0,0,0 176,200\" class=\"nofill\"></path>\n",
+       "        <line x1=\"176\" y1=\"200\" x2=\"196\" y2=\"200\" class=\"solid\"></line>\n",
+       "        <line x1=\"196\" y1=\"216\" x2=\"220\" y2=\"216\" class=\"solid\"></line>\n",
+       "        <line x1=\"160\" y1=\"232\" x2=\"196\" y2=\"232\" class=\"solid\"></line>\n",
+       "        <path d=\"M 196,244 A 4,4 0,0,0 200,248\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"248\" x2=\"216\" y2=\"248\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,244 A 4,4 0,0,1 216,248\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 8,216 A 4,4 0,0,0 4,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"4\" y1=\"220\" x2=\"4\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <line x1=\"8\" y1=\"216\" x2=\"24\" y2=\"216\" class=\"solid\"></line>\n",
+       "        <path d=\"M 24,216 A 4,4 0,0,1 28,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"28\" y1=\"220\" x2=\"28\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <path d=\"M 4,244 A 4,4 0,0,0 8,248\" class=\"nofill\"></path>\n",
+       "        <line x1=\"8\" y1=\"248\" x2=\"24\" y2=\"248\" class=\"solid\"></line>\n",
+       "        <path d=\"M 28,244 A 4,4 0,0,1 24,248\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 72,216 A 4,4 0,0,0 68,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"68\" y1=\"220\" x2=\"68\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <line x1=\"72\" y1=\"216\" x2=\"88\" y2=\"216\" class=\"solid\"></line>\n",
+       "        <path d=\"M 88,216 A 4,4 0,0,1 92,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"92\" y1=\"220\" x2=\"92\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <line x1=\"28\" y1=\"232\" x2=\"68\" y2=\"232\" class=\"broken\"></line>\n",
+       "        <line x1=\"92\" y1=\"232\" x2=\"128\" y2=\"232\" class=\"broken\"></line>\n",
+       "        <path d=\"M 68,244 A 4,4 0,0,0 72,248\" class=\"nofill\"></path>\n",
+       "        <line x1=\"72\" y1=\"248\" x2=\"88\" y2=\"248\" class=\"solid\"></line>\n",
+       "        <path d=\"M 92,244 A 4,4 0,0,1 88,248\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 8,264 A 4,4 0,0,0 4,268\" class=\"nofill\"></path>\n",
+       "        <line x1=\"4\" y1=\"268\" x2=\"4\" y2=\"292\" class=\"solid\"></line>\n",
+       "        <line x1=\"8\" y1=\"264\" x2=\"24\" y2=\"264\" class=\"solid\"></line>\n",
+       "        <path d=\"M 24,264 A 4,4 0,0,1 28,268\" class=\"nofill\"></path>\n",
+       "        <line x1=\"28\" y1=\"268\" x2=\"28\" y2=\"292\" class=\"solid\"></line>\n",
+       "        <path d=\"M 4,292 A 4,4 0,0,0 8,296\" class=\"nofill\"></path>\n",
+       "        <line x1=\"8\" y1=\"296\" x2=\"24\" y2=\"296\" class=\"solid\"></line>\n",
+       "        <path d=\"M 28,292 A 4,4 0,0,1 24,296\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 72,264 A 4,4 0,0,0 68,268\" class=\"nofill\"></path>\n",
+       "        <line x1=\"68\" y1=\"268\" x2=\"68\" y2=\"292\" class=\"solid\"></line>\n",
+       "        <line x1=\"72\" y1=\"264\" x2=\"88\" y2=\"264\" class=\"solid\"></line>\n",
+       "        <path d=\"M 88,264 A 4,4 0,0,1 92,268\" class=\"nofill\"></path>\n",
+       "        <line x1=\"92\" y1=\"268\" x2=\"92\" y2=\"292\" class=\"solid\"></line>\n",
+       "        <line x1=\"28\" y1=\"280\" x2=\"68\" y2=\"280\" class=\"broken\"></line>\n",
+       "        <line x1=\"92\" y1=\"280\" x2=\"128\" y2=\"280\" class=\"broken\"></line>\n",
+       "        <path d=\"M 68,292 A 4,4 0,0,0 72,296\" class=\"nofill\"></path>\n",
+       "        <line x1=\"72\" y1=\"296\" x2=\"88\" y2=\"296\" class=\"solid\"></line>\n",
+       "        <path d=\"M 92,292 A 4,4 0,0,1 88,296\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 136,264 A 4,4 0,0,0 132,268\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"268\" x2=\"132\" y2=\"292\" class=\"broken\"></line>\n",
+       "        <line x1=\"136\" y1=\"264\" x2=\"152\" y2=\"264\" class=\"broken\"></line>\n",
+       "        <path d=\"M 152,264 A 4,4 0,0,1 156,268\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 152,264 A 8,8 0,0,1 158,268\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"268\" x2=\"156\" y2=\"292\" class=\"broken\"></line>\n",
+       "        <line x1=\"158\" y1=\"268\" x2=\"160\" y2=\"272\" class=\"solid\"></line>\n",
+       "        <path d=\"M 160,272 A 16,16 0,0,1 160,288\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 132,292 A 4,4 0,0,0 136,296\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"296\" x2=\"152\" y2=\"296\" class=\"broken\"></line>\n",
+       "        <line x1=\"160\" y1=\"288\" x2=\"158\" y2=\"292\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,292 A 4,4 0,0,1 152,296\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 158,292 A 8,8 0,0,1 152,296\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 8,312 A 4,4 0,0,0 4,316\" class=\"nofill\"></path>\n",
+       "        <line x1=\"4\" y1=\"316\" x2=\"4\" y2=\"340\" class=\"solid\"></line>\n",
+       "        <line x1=\"8\" y1=\"312\" x2=\"24\" y2=\"312\" class=\"solid\"></line>\n",
+       "        <path d=\"M 24,312 A 4,4 0,0,1 28,316\" class=\"nofill\"></path>\n",
+       "        <line x1=\"28\" y1=\"316\" x2=\"28\" y2=\"340\" class=\"solid\"></line>\n",
+       "        <path d=\"M 4,340 A 4,4 0,0,0 8,344\" class=\"nofill\"></path>\n",
+       "        <line x1=\"8\" y1=\"344\" x2=\"24\" y2=\"344\" class=\"solid\"></line>\n",
+       "        <path d=\"M 28,340 A 4,4 0,0,1 24,344\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 72,312 A 4,4 0,0,0 68,316\" class=\"nofill\"></path>\n",
+       "        <line x1=\"68\" y1=\"316\" x2=\"68\" y2=\"340\" class=\"solid\"></line>\n",
+       "        <line x1=\"72\" y1=\"312\" x2=\"88\" y2=\"312\" class=\"solid\"></line>\n",
+       "        <path d=\"M 88,312 A 4,4 0,0,1 92,316\" class=\"nofill\"></path>\n",
+       "        <line x1=\"92\" y1=\"316\" x2=\"92\" y2=\"340\" class=\"solid\"></line>\n",
+       "        <line x1=\"28\" y1=\"328\" x2=\"68\" y2=\"328\" class=\"broken\"></line>\n",
+       "        <line x1=\"92\" y1=\"328\" x2=\"128\" y2=\"328\" class=\"broken\"></line>\n",
+       "        <path d=\"M 68,340 A 4,4 0,0,0 72,344\" class=\"nofill\"></path>\n",
+       "        <line x1=\"72\" y1=\"344\" x2=\"88\" y2=\"344\" class=\"solid\"></line>\n",
+       "        <path d=\"M 92,340 A 4,4 0,0,1 88,344\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 200,312 A 4,4 0,0,0 196,316\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"316\" x2=\"196\" y2=\"372\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"312\" x2=\"216\" y2=\"312\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,312 A 4,4 0,0,1 220,316\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"316\" x2=\"220\" y2=\"372\" class=\"solid\"></line>\n",
+       "        <line x1=\"160\" y1=\"328\" x2=\"196\" y2=\"328\" class=\"solid\"></line>\n",
+       "        <line x1=\"172\" y1=\"328\" x2=\"172\" y2=\"356\" class=\"solid\"></line>\n",
+       "        <line x1=\"172\" y1=\"344\" x2=\"196\" y2=\"344\" class=\"solid\"></line>\n",
+       "        <path d=\"M 172,356 A 4,4 0,0,0 176,360\" class=\"nofill\"></path>\n",
+       "        <line x1=\"176\" y1=\"360\" x2=\"196\" y2=\"360\" class=\"solid\"></line>\n",
+       "        <path d=\"M 196,372 A 4,4 0,0,0 200,376\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"376\" x2=\"216\" y2=\"376\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,372 A 4,4 0,0,1 216,376\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "</svg>"
+      ],
+      "text/plain": [
+       ".---.   .---.   .~~~.   .---.\n",
+       "|i0 |p0 |i1 |p1 ┊i2 ┊p2 |i3 |\n",
+       "`---'   `---'   `~~~'   `---'\n",
+       "=============================\n",
+       ".--.  0 .--.  0 .~~.  0 .--.\n",
+       "|0 |~~~~|0 |~~~~┊0 ┊-+--|1 |\n",
+       "`--'  1 `--'  1 `~~' `--|2 |\n",
+       ".--.    .--.    .~~.  2 `--'\n",
+       "|0 |~~~~|0 |~~~~┊1 ┊)\n",
+       "`--'  2 `--'  2 `~~'\n",
+       ".--.    .--.    .~~.  2 .--.\n",
+       "|0 |~~~~|1 |~~~~┊0 ┊-+--|0 |\n",
+       "`--'  3 `--'  3 `~~' `--|2 |\n",
+       ".--.    .--.    .~~.  4 |--|\n",
+       "|0 |~~~~|1 |~~~~┊1 ┊----|0 |\n",
+       "`--'  4 `--'  4 `~~'  5 `--'\n",
+       ".--.    .--.    .~~.\n",
+       "|1 |~~~~|1 |~~~~┊0 ┊)\n",
+       "`--'  5 `--'  5 `~~'\n",
+       ".--.    .--.    .~~.  5 .--.\n",
+       "|1 |~~~~|1 |~~~~┊1 ┊-+--|0 |\n",
+       "`--'  6 `--'  6 `~~' |--|1 |\n",
+       "                     `--|2 |\n",
+       "                      8 `--'"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "text/markdown": [
+       "# S-C-S-S"
+      ],
+      "text/plain": [
+       "<IPython.core.display.Markdown object>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "image/svg+xml": [
+       "<svg xmlns=\"http://www.w3.org/2000/svg\" width=\"240\" height=\"464\">\n",
+       "    <style>line, path, circle,rect,polygon {\n",
+       "                          stroke: black;\n",
+       "                          stroke-width: 2;\n",
+       "                          stroke-opacity: 1;\n",
+       "                          fill-opacity: 1;\n",
+       "                          stroke-linecap: round;\n",
+       "                          stroke-linejoin: miter;\n",
+       "                        }\n",
+       "\n",
+       "                    text {\n",
+       "                        /* This fix the spacing bug in svg text*/\n",
+       "                        white-space: pre;\n",
+       "                        fill: black;\n",
+       "                        }\n",
+       "                        rect.backdrop{\n",
+       "                            stroke: none;\n",
+       "                            fill: white;\n",
+       "                        }\n",
+       "                        .broken{\n",
+       "                            stroke-dasharray: 8;\n",
+       "                        }\n",
+       "                        .filled{\n",
+       "                            fill: black;\n",
+       "                        }\n",
+       "                        .bg_filled{\n",
+       "                            fill: white;\n",
+       "                        }\n",
+       "                        .nofill{\n",
+       "                            fill: white;\n",
+       "                        }\n",
+       "\n",
+       "                        text {\n",
+       "                         font-family: monospace;\n",
+       "                         font-size: 14px;\n",
+       "                        }\n",
+       "\n",
+       "                        .end_marked_arrow{\n",
+       "                            marker-end: url(#arrow);\n",
+       "                         }\n",
+       "                        .start_marked_arrow{\n",
+       "                            marker-start: url(#arrow);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_diamond{\n",
+       "                            marker-end: url(#diamond);\n",
+       "                         }\n",
+       "                        .start_marked_diamond{\n",
+       "                            marker-start: url(#diamond);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_circle{\n",
+       "                            marker-end: url(#circle);\n",
+       "                         }\n",
+       "                        .start_marked_circle{\n",
+       "                            marker-start: url(#circle);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_open_circle{\n",
+       "                            marker-end: url(#open_circle);\n",
+       "                         }\n",
+       "                        .start_marked_open_circle{\n",
+       "                            marker-start: url(#open_circle);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_big_open_circle{\n",
+       "                            marker-end: url(#big_open_circle);\n",
+       "                         }\n",
+       "                        .start_marked_big_open_circle{\n",
+       "                            marker-start: url(#big_open_circle);\n",
+       "                         }\n",
+       "\n",
+       "                         \n",
+       "                        </style>\n",
+       "    <defs>\n",
+       "        <marker id=\"arrow\" viewBox=\"-2 -2 8 8\" refX=\"4\" refY=\"2\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <polygon points=\"0,0 0,4 4,2 0,0\"></polygon>\n",
+       "        </marker>\n",
+       "        <marker id=\"diamond\" viewBox=\"-2 -2 8 8\" refX=\"4\" refY=\"2\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <polygon points=\"0,2 2,0 4,2 2,4 0,2\"></polygon>\n",
+       "        </marker>\n",
+       "        <marker id=\"circle\" viewBox=\"0 0 8 8\" refX=\"4\" refY=\"4\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <circle cx=\"4\" cy=\"4\" r=\"2\" class=\"filled\"></circle>\n",
+       "        </marker>\n",
+       "        <marker id=\"open_circle\" viewBox=\"0 0 8 8\" refX=\"4\" refY=\"4\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <circle cx=\"4\" cy=\"4\" r=\"2\" class=\"bg_filled\"></circle>\n",
+       "        </marker>\n",
+       "        <marker id=\"big_open_circle\" viewBox=\"0 0 8 8\" refX=\"4\" refY=\"4\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <circle cx=\"4\" cy=\"4\" r=\"3\" class=\"bg_filled\"></circle>\n",
+       "        </marker>\n",
+       "    </defs>\n",
+       "    <rect x=\"4\" y=\"8\" width=\"32\" height=\"32\" class=\"solid nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"10\" y=\"28\" >i0</text>\n",
+       "    <rect x=\"68\" y=\"8\" width=\"32\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"74\" y=\"28\" >i1</text>\n",
+       "    <rect x=\"132\" y=\"8\" width=\"32\" height=\"32\" class=\"solid nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"138\" y=\"28\" >i2</text>\n",
+       "    <rect x=\"196\" y=\"8\" width=\"32\" height=\"32\" class=\"solid nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"202\" y=\"28\" >i3</text>\n",
+       "    <rect x=\"68\" y=\"72\" width=\"24\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"74\" y=\"92\" >0</text>\n",
+       "    <rect x=\"68\" y=\"168\" width=\"24\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"74\" y=\"188\" >1</text>\n",
+       "    <rect x=\"68\" y=\"312\" width=\"24\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"74\" y=\"332\" >1</text>\n",
+       "    <text x=\"42\" y=\"28\" >p0</text>\n",
+       "    <text x=\"106\" y=\"28\" >p1</text>\n",
+       "    <text x=\"170\" y=\"28\" >p2</text>\n",
+       "    <line x1=\"0\" y1=\"54\" x2=\"232\" y2=\"54\" class=\"solid\"></line>\n",
+       "    <line x1=\"0\" y1=\"58\" x2=\"232\" y2=\"58\" class=\"solid\"></line>\n",
+       "    <text x=\"50\" y=\"76\" >0</text>\n",
+       "    <text x=\"114\" y=\"76\" >0</text>\n",
+       "    <text x=\"178\" y=\"76\" >0</text>\n",
+       "    <text x=\"10\" y=\"92\" >0</text>\n",
+       "    <text x=\"138\" y=\"92\" >0</text>\n",
+       "    <text x=\"202\" y=\"92\" >1</text>\n",
+       "    <text x=\"50\" y=\"108\" >1</text>\n",
+       "    <text x=\"178\" y=\"108\" >1</text>\n",
+       "    <text x=\"138\" y=\"140\" >0</text>\n",
+       "    <text x=\"202\" y=\"140\" >2</text>\n",
+       "    <text x=\"114\" y=\"156\" >2</text>\n",
+       "    <text x=\"178\" y=\"156\" >2</text>\n",
+       "    <text x=\"10\" y=\"188\" >0</text>\n",
+       "    <text x=\"138\" y=\"188\" >0</text>\n",
+       "    <text x=\"202\" y=\"188\" >0</text>\n",
+       "    <text x=\"50\" y=\"204\" >2</text>\n",
+       "    <text x=\"178\" y=\"204\" >3</text>\n",
+       "    <text x=\"10\" y=\"236\" >1</text>\n",
+       "    <text x=\"74\" y=\"236\" >0</text>\n",
+       "    <text x=\"138\" y=\"236\" >0</text>\n",
+       "    <text x=\"202\" y=\"236\" >2</text>\n",
+       "    <text x=\"50\" y=\"252\" >3</text>\n",
+       "    <text x=\"178\" y=\"252\" >4</text>\n",
+       "    <text x=\"138\" y=\"284\" >1</text>\n",
+       "    <text x=\"202\" y=\"284\" >0</text>\n",
+       "    <text x=\"114\" y=\"300\" >5</text>\n",
+       "    <text x=\"178\" y=\"300\" >5</text>\n",
+       "    <text x=\"114\" y=\"316\" >5</text>\n",
+       "    <text x=\"10\" y=\"332\" >1</text>\n",
+       "    <text x=\"138\" y=\"332\" >1</text>\n",
+       "    <text x=\"202\" y=\"332\" >0</text>\n",
+       "    <text x=\"50\" y=\"348\" >4</text>\n",
+       "    <text x=\"178\" y=\"348\" >6</text>\n",
+       "    <text x=\"138\" y=\"380\" >1</text>\n",
+       "    <text x=\"202\" y=\"380\" >1</text>\n",
+       "    <text x=\"178\" y=\"396\" >7</text>\n",
+       "    <text x=\"138\" y=\"428\" >1</text>\n",
+       "    <text x=\"202\" y=\"428\" >2</text>\n",
+       "    <text x=\"114\" y=\"444\" >8</text>\n",
+       "    <text x=\"178\" y=\"444\" >8</text>\n",
+       "    <g>\n",
+       "        <path d=\"M 8,72 A 4,4 0,0,0 4,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"4\" y1=\"76\" x2=\"4\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"8\" y1=\"72\" x2=\"24\" y2=\"72\" class=\"solid\"></line>\n",
+       "        <path d=\"M 24,72 A 4,4 0,0,1 28,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"28\" y1=\"76\" x2=\"28\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"28\" y1=\"88\" x2=\"64\" y2=\"88\" class=\"broken\"></line>\n",
+       "        <path d=\"M 4,100 A 4,4 0,0,0 8,104\" class=\"nofill\"></path>\n",
+       "        <line x1=\"8\" y1=\"104\" x2=\"24\" y2=\"104\" class=\"solid\"></line>\n",
+       "        <path d=\"M 28,100 A 4,4 0,0,1 24,104\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 136,72 A 4,4 0,0,0 132,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"76\" x2=\"132\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"136\" y1=\"72\" x2=\"152\" y2=\"72\" class=\"solid\"></line>\n",
+       "        <path d=\"M 152,72 A 4,4 0,0,1 156,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"76\" x2=\"156\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"96\" y1=\"88\" x2=\"132\" y2=\"88\" class=\"solid\"></line>\n",
+       "        <line x1=\"108\" y1=\"88\" x2=\"108\" y2=\"132\" class=\"solid\"></line>\n",
+       "        <path d=\"M 132,100 A 4,4 0,0,0 136,104\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"104\" x2=\"152\" y2=\"104\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,100 A 4,4 0,0,1 152,104\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 108,132 A 4,4 0,0,0 112,136\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 200,72 A 4,4 0,0,0 196,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"76\" x2=\"196\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"72\" x2=\"216\" y2=\"72\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,72 A 4,4 0,0,1 220,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"76\" x2=\"220\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"156\" y1=\"88\" x2=\"196\" y2=\"88\" class=\"broken\"></line>\n",
+       "        <path d=\"M 196,100 A 4,4 0,0,0 200,104\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"104\" x2=\"216\" y2=\"104\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,100 A 4,4 0,0,1 216,104\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 136,120 A 4,4 0,0,0 132,124\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"124\" x2=\"132\" y2=\"148\" class=\"solid\"></line>\n",
+       "        <line x1=\"136\" y1=\"120\" x2=\"152\" y2=\"120\" class=\"solid\"></line>\n",
+       "        <path d=\"M 152,120 A 4,4 0,0,1 156,124\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"124\" x2=\"156\" y2=\"148\" class=\"solid\"></line>\n",
+       "        <line x1=\"112\" y1=\"136\" x2=\"132\" y2=\"136\" class=\"solid\"></line>\n",
+       "        <path d=\"M 132,148 A 4,4 0,0,0 136,152\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"152\" x2=\"152\" y2=\"152\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,148 A 4,4 0,0,1 152,152\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 200,120 A 4,4 0,0,0 196,124\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"124\" x2=\"196\" y2=\"148\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"120\" x2=\"216\" y2=\"120\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,120 A 4,4 0,0,1 220,124\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"124\" x2=\"220\" y2=\"148\" class=\"solid\"></line>\n",
+       "        <line x1=\"156\" y1=\"136\" x2=\"196\" y2=\"136\" class=\"broken\"></line>\n",
+       "        <path d=\"M 196,148 A 4,4 0,0,0 200,152\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"152\" x2=\"216\" y2=\"152\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,148 A 4,4 0,0,1 216,152\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 8,168 A 4,4 0,0,0 4,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"4\" y1=\"172\" x2=\"4\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <line x1=\"8\" y1=\"168\" x2=\"24\" y2=\"168\" class=\"solid\"></line>\n",
+       "        <path d=\"M 24,168 A 4,4 0,0,1 28,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"28\" y1=\"172\" x2=\"28\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <line x1=\"28\" y1=\"184\" x2=\"64\" y2=\"184\" class=\"broken\"></line>\n",
+       "        <path d=\"M 4,196 A 4,4 0,0,0 8,200\" class=\"nofill\"></path>\n",
+       "        <line x1=\"8\" y1=\"200\" x2=\"24\" y2=\"200\" class=\"solid\"></line>\n",
+       "        <path d=\"M 28,196 A 4,4 0,0,1 24,200\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 136,168 A 4,4 0,0,0 132,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"172\" x2=\"132\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <line x1=\"136\" y1=\"168\" x2=\"152\" y2=\"168\" class=\"solid\"></line>\n",
+       "        <path d=\"M 152,168 A 4,4 0,0,1 156,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"172\" x2=\"156\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <line x1=\"96\" y1=\"184\" x2=\"132\" y2=\"184\" class=\"solid\"></line>\n",
+       "        <line x1=\"108\" y1=\"184\" x2=\"108\" y2=\"276\" class=\"solid\"></line>\n",
+       "        <path d=\"M 132,196 A 4,4 0,0,0 136,200\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"200\" x2=\"152\" y2=\"200\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,196 A 4,4 0,0,1 152,200\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 108,276 A 4,4 0,0,0 112,280\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 200,168 A 4,4 0,0,0 196,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"172\" x2=\"196\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"168\" x2=\"216\" y2=\"168\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,168 A 4,4 0,0,1 220,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"172\" x2=\"220\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <line x1=\"156\" y1=\"184\" x2=\"196\" y2=\"184\" class=\"broken\"></line>\n",
+       "        <path d=\"M 196,196 A 4,4 0,0,0 200,200\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"200\" x2=\"216\" y2=\"200\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,196 A 4,4 0,0,1 216,200\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 136,216 A 4,4 0,0,0 132,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"220\" x2=\"132\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <line x1=\"136\" y1=\"216\" x2=\"152\" y2=\"216\" class=\"solid\"></line>\n",
+       "        <path d=\"M 152,216 A 4,4 0,0,1 156,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"220\" x2=\"156\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <line x1=\"108\" y1=\"232\" x2=\"132\" y2=\"232\" class=\"solid\"></line>\n",
+       "        <path d=\"M 132,244 A 4,4 0,0,0 136,248\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"248\" x2=\"152\" y2=\"248\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,244 A 4,4 0,0,1 152,248\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 200,216 A 4,4 0,0,0 196,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"220\" x2=\"196\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"216\" x2=\"216\" y2=\"216\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,216 A 4,4 0,0,1 220,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"220\" x2=\"220\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <line x1=\"156\" y1=\"232\" x2=\"196\" y2=\"232\" class=\"broken\"></line>\n",
+       "        <path d=\"M 196,244 A 4,4 0,0,0 200,248\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"248\" x2=\"216\" y2=\"248\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,244 A 4,4 0,0,1 216,248\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 136,264 A 4,4 0,0,0 132,268\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"268\" x2=\"132\" y2=\"292\" class=\"solid\"></line>\n",
+       "        <line x1=\"136\" y1=\"264\" x2=\"152\" y2=\"264\" class=\"solid\"></line>\n",
+       "        <path d=\"M 152,264 A 4,4 0,0,1 156,268\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"268\" x2=\"156\" y2=\"292\" class=\"solid\"></line>\n",
+       "        <line x1=\"112\" y1=\"280\" x2=\"132\" y2=\"280\" class=\"solid\"></line>\n",
+       "        <path d=\"M 132,292 A 4,4 0,0,0 136,296\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"296\" x2=\"152\" y2=\"296\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,292 A 4,4 0,0,1 152,296\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 200,264 A 4,4 0,0,0 196,268\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"268\" x2=\"196\" y2=\"292\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"264\" x2=\"216\" y2=\"264\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,264 A 4,4 0,0,1 220,268\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"268\" x2=\"220\" y2=\"292\" class=\"solid\"></line>\n",
+       "        <line x1=\"156\" y1=\"280\" x2=\"196\" y2=\"280\" class=\"broken\"></line>\n",
+       "        <path d=\"M 196,292 A 4,4 0,0,0 200,296\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"296\" x2=\"216\" y2=\"296\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,292 A 4,4 0,0,1 216,296\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 8,216 A 4,4 0,0,0 4,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"4\" y1=\"220\" x2=\"4\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <line x1=\"8\" y1=\"216\" x2=\"24\" y2=\"216\" class=\"solid\"></line>\n",
+       "        <path d=\"M 24,216 A 4,4 0,0,1 28,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"28\" y1=\"220\" x2=\"28\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <line x1=\"28\" y1=\"232\" x2=\"64\" y2=\"232\" class=\"broken\"></line>\n",
+       "        <path d=\"M 4,244 A 4,4 0,0,0 8,248\" class=\"nofill\"></path>\n",
+       "        <line x1=\"8\" y1=\"248\" x2=\"24\" y2=\"248\" class=\"solid\"></line>\n",
+       "        <path d=\"M 28,244 A 4,4 0,0,1 24,248\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 72,216 A 4,4 0,0,0 68,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"68\" y1=\"220\" x2=\"68\" y2=\"244\" class=\"broken\"></line>\n",
+       "        <line x1=\"72\" y1=\"216\" x2=\"88\" y2=\"216\" class=\"broken\"></line>\n",
+       "        <path d=\"M 88,216 A 4,4 0,0,1 92,220\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 88,216 A 8,8 0,0,1 94,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"92\" y1=\"220\" x2=\"92\" y2=\"244\" class=\"broken\"></line>\n",
+       "        <line x1=\"94\" y1=\"220\" x2=\"96\" y2=\"224\" class=\"solid\"></line>\n",
+       "        <path d=\"M 96,224 A 16,16 0,0,1 96,240\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 68,244 A 4,4 0,0,0 72,248\" class=\"nofill\"></path>\n",
+       "        <line x1=\"72\" y1=\"248\" x2=\"88\" y2=\"248\" class=\"broken\"></line>\n",
+       "        <line x1=\"96\" y1=\"240\" x2=\"94\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <path d=\"M 92,244 A 4,4 0,0,1 88,248\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 94,244 A 8,8 0,0,1 88,248\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 8,312 A 4,4 0,0,0 4,316\" class=\"nofill\"></path>\n",
+       "        <line x1=\"4\" y1=\"316\" x2=\"4\" y2=\"340\" class=\"solid\"></line>\n",
+       "        <line x1=\"8\" y1=\"312\" x2=\"24\" y2=\"312\" class=\"solid\"></line>\n",
+       "        <path d=\"M 24,312 A 4,4 0,0,1 28,316\" class=\"nofill\"></path>\n",
+       "        <line x1=\"28\" y1=\"316\" x2=\"28\" y2=\"340\" class=\"solid\"></line>\n",
+       "        <line x1=\"28\" y1=\"328\" x2=\"64\" y2=\"328\" class=\"broken\"></line>\n",
+       "        <path d=\"M 4,340 A 4,4 0,0,0 8,344\" class=\"nofill\"></path>\n",
+       "        <line x1=\"8\" y1=\"344\" x2=\"24\" y2=\"344\" class=\"solid\"></line>\n",
+       "        <path d=\"M 28,340 A 4,4 0,0,1 24,344\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 136,312 A 4,4 0,0,0 132,316\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"316\" x2=\"132\" y2=\"340\" class=\"solid\"></line>\n",
+       "        <line x1=\"136\" y1=\"312\" x2=\"152\" y2=\"312\" class=\"solid\"></line>\n",
+       "        <path d=\"M 152,312 A 4,4 0,0,1 156,316\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"316\" x2=\"156\" y2=\"340\" class=\"solid\"></line>\n",
+       "        <line x1=\"96\" y1=\"328\" x2=\"132\" y2=\"328\" class=\"solid\"></line>\n",
+       "        <line x1=\"108\" y1=\"328\" x2=\"108\" y2=\"420\" class=\"solid\"></line>\n",
+       "        <path d=\"M 132,340 A 4,4 0,0,0 136,344\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"344\" x2=\"152\" y2=\"344\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,340 A 4,4 0,0,1 152,344\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 108,420 A 4,4 0,0,0 112,424\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 200,312 A 4,4 0,0,0 196,316\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"316\" x2=\"196\" y2=\"340\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"312\" x2=\"216\" y2=\"312\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,312 A 4,4 0,0,1 220,316\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"316\" x2=\"220\" y2=\"340\" class=\"solid\"></line>\n",
+       "        <line x1=\"156\" y1=\"328\" x2=\"196\" y2=\"328\" class=\"broken\"></line>\n",
+       "        <path d=\"M 196,340 A 4,4 0,0,0 200,344\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"344\" x2=\"216\" y2=\"344\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,340 A 4,4 0,0,1 216,344\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 136,360 A 4,4 0,0,0 132,364\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"364\" x2=\"132\" y2=\"388\" class=\"solid\"></line>\n",
+       "        <line x1=\"136\" y1=\"360\" x2=\"152\" y2=\"360\" class=\"solid\"></line>\n",
+       "        <path d=\"M 152,360 A 4,4 0,0,1 156,364\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"364\" x2=\"156\" y2=\"388\" class=\"solid\"></line>\n",
+       "        <line x1=\"108\" y1=\"376\" x2=\"132\" y2=\"376\" class=\"solid\"></line>\n",
+       "        <path d=\"M 132,388 A 4,4 0,0,0 136,392\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"392\" x2=\"152\" y2=\"392\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,388 A 4,4 0,0,1 152,392\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 200,360 A 4,4 0,0,0 196,364\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"364\" x2=\"196\" y2=\"388\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"360\" x2=\"216\" y2=\"360\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,360 A 4,4 0,0,1 220,364\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"364\" x2=\"220\" y2=\"388\" class=\"solid\"></line>\n",
+       "        <line x1=\"156\" y1=\"376\" x2=\"196\" y2=\"376\" class=\"broken\"></line>\n",
+       "        <path d=\"M 196,388 A 4,4 0,0,0 200,392\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"392\" x2=\"216\" y2=\"392\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,388 A 4,4 0,0,1 216,392\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 136,408 A 4,4 0,0,0 132,412\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"412\" x2=\"132\" y2=\"436\" class=\"solid\"></line>\n",
+       "        <line x1=\"136\" y1=\"408\" x2=\"152\" y2=\"408\" class=\"solid\"></line>\n",
+       "        <path d=\"M 152,408 A 4,4 0,0,1 156,412\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"412\" x2=\"156\" y2=\"436\" class=\"solid\"></line>\n",
+       "        <line x1=\"112\" y1=\"424\" x2=\"132\" y2=\"424\" class=\"solid\"></line>\n",
+       "        <path d=\"M 132,436 A 4,4 0,0,0 136,440\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"440\" x2=\"152\" y2=\"440\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,436 A 4,4 0,0,1 152,440\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 200,408 A 4,4 0,0,0 196,412\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"412\" x2=\"196\" y2=\"436\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"408\" x2=\"216\" y2=\"408\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,408 A 4,4 0,0,1 220,412\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"412\" x2=\"220\" y2=\"436\" class=\"solid\"></line>\n",
+       "        <line x1=\"156\" y1=\"424\" x2=\"196\" y2=\"424\" class=\"broken\"></line>\n",
+       "        <path d=\"M 196,436 A 4,4 0,0,0 200,440\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"440\" x2=\"216\" y2=\"440\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,436 A 4,4 0,0,1 216,440\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "</svg>"
+      ],
+      "text/plain": [
+       ".---.   .~~~.   .---.   .---.\n",
+       "|i0 |p0 ┊i1 ┊p1 |i2 |p2 |i3 |\n",
+       "`---'   `~~~'   `---'   `---'\n",
+       "=============================\n",
+       ".--.  0 .~~.  0 .--.  0 .--.\n",
+       "|0 |~~~~┊0 ┊-+--|0 |~~~~|1 |\n",
+       "`--'  1 `~~' |  `--'  1 `--'\n",
+       "             |  .--.    .--.\n",
+       "             `--|0 |~~~~|2 |\n",
+       "              2 `--'  2 `--'\n",
+       ".--.    .~~.    .--.    .--.\n",
+       "|0 |~~~~┊1 ┊-+--|0 |~~~~|0 |\n",
+       "`--'  2 `~~' |  `--'  3 `--'\n",
+       ".--.    .~~. |  .--.    .--.\n",
+       "|1 |~~~~┊0 ┊)|--|0 |~~~~|2 |\n",
+       "`--'  3 `~~' |  `--'  4 `--'\n",
+       "             |  .--.    .--.\n",
+       "             `--|1 |~~~~|0 |\n",
+       "              5 `--'  5 `--'\n",
+       ".--.    .~~.  5 .--.    .--.\n",
+       "|1 |~~~~┊1 ┊-+--|1 |~~~~|0 |\n",
+       "`--'  4 `~~' |  `--'  6 `--'\n",
+       "             |  .--.    .--.\n",
+       "             |--|1 |~~~~|1 |\n",
+       "             |  `--'  7 `--'\n",
+       "             |  .--.    .--.\n",
+       "             `--|1 |~~~~|2 |\n",
+       "              8 `--'  8 `--'"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "text/markdown": [
+       "# S-C-C-S"
+      ],
+      "text/plain": [
+       "<IPython.core.display.Markdown object>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "image/svg+xml": [
+       "<svg xmlns=\"http://www.w3.org/2000/svg\" width=\"240\" height=\"496\">\n",
+       "    <style>line, path, circle,rect,polygon {\n",
+       "                          stroke: black;\n",
+       "                          stroke-width: 2;\n",
+       "                          stroke-opacity: 1;\n",
+       "                          fill-opacity: 1;\n",
+       "                          stroke-linecap: round;\n",
+       "                          stroke-linejoin: miter;\n",
+       "                        }\n",
+       "\n",
+       "                    text {\n",
+       "                        /* This fix the spacing bug in svg text*/\n",
+       "                        white-space: pre;\n",
+       "                        fill: black;\n",
+       "                        }\n",
+       "                        rect.backdrop{\n",
+       "                            stroke: none;\n",
+       "                            fill: white;\n",
+       "                        }\n",
+       "                        .broken{\n",
+       "                            stroke-dasharray: 8;\n",
+       "                        }\n",
+       "                        .filled{\n",
+       "                            fill: black;\n",
+       "                        }\n",
+       "                        .bg_filled{\n",
+       "                            fill: white;\n",
+       "                        }\n",
+       "                        .nofill{\n",
+       "                            fill: white;\n",
+       "                        }\n",
+       "\n",
+       "                        text {\n",
+       "                         font-family: monospace;\n",
+       "                         font-size: 14px;\n",
+       "                        }\n",
+       "\n",
+       "                        .end_marked_arrow{\n",
+       "                            marker-end: url(#arrow);\n",
+       "                         }\n",
+       "                        .start_marked_arrow{\n",
+       "                            marker-start: url(#arrow);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_diamond{\n",
+       "                            marker-end: url(#diamond);\n",
+       "                         }\n",
+       "                        .start_marked_diamond{\n",
+       "                            marker-start: url(#diamond);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_circle{\n",
+       "                            marker-end: url(#circle);\n",
+       "                         }\n",
+       "                        .start_marked_circle{\n",
+       "                            marker-start: url(#circle);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_open_circle{\n",
+       "                            marker-end: url(#open_circle);\n",
+       "                         }\n",
+       "                        .start_marked_open_circle{\n",
+       "                            marker-start: url(#open_circle);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_big_open_circle{\n",
+       "                            marker-end: url(#big_open_circle);\n",
+       "                         }\n",
+       "                        .start_marked_big_open_circle{\n",
+       "                            marker-start: url(#big_open_circle);\n",
+       "                         }\n",
+       "\n",
+       "                         \n",
+       "                        </style>\n",
+       "    <defs>\n",
+       "        <marker id=\"arrow\" viewBox=\"-2 -2 8 8\" refX=\"4\" refY=\"2\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <polygon points=\"0,0 0,4 4,2 0,0\"></polygon>\n",
+       "        </marker>\n",
+       "        <marker id=\"diamond\" viewBox=\"-2 -2 8 8\" refX=\"4\" refY=\"2\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <polygon points=\"0,2 2,0 4,2 2,4 0,2\"></polygon>\n",
+       "        </marker>\n",
+       "        <marker id=\"circle\" viewBox=\"0 0 8 8\" refX=\"4\" refY=\"4\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <circle cx=\"4\" cy=\"4\" r=\"2\" class=\"filled\"></circle>\n",
+       "        </marker>\n",
+       "        <marker id=\"open_circle\" viewBox=\"0 0 8 8\" refX=\"4\" refY=\"4\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <circle cx=\"4\" cy=\"4\" r=\"2\" class=\"bg_filled\"></circle>\n",
+       "        </marker>\n",
+       "        <marker id=\"big_open_circle\" viewBox=\"0 0 8 8\" refX=\"4\" refY=\"4\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <circle cx=\"4\" cy=\"4\" r=\"3\" class=\"bg_filled\"></circle>\n",
+       "        </marker>\n",
+       "    </defs>\n",
+       "    <rect x=\"4\" y=\"8\" width=\"32\" height=\"32\" class=\"solid nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"10\" y=\"28\" >i0</text>\n",
+       "    <rect x=\"68\" y=\"8\" width=\"32\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"74\" y=\"28\" >i1</text>\n",
+       "    <rect x=\"132\" y=\"8\" width=\"32\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"138\" y=\"28\" >i2</text>\n",
+       "    <rect x=\"196\" y=\"8\" width=\"32\" height=\"32\" class=\"solid nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"202\" y=\"28\" >i3</text>\n",
+       "    <rect x=\"68\" y=\"72\" width=\"24\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"74\" y=\"92\" >0</text>\n",
+       "    <rect x=\"132\" y=\"72\" width=\"24\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"138\" y=\"92\" >0</text>\n",
+       "    <rect x=\"68\" y=\"168\" width=\"24\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"74\" y=\"188\" >1</text>\n",
+       "    <rect x=\"132\" y=\"168\" width=\"24\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"138\" y=\"188\" >0</text>\n",
+       "    <rect x=\"132\" y=\"216\" width=\"24\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"138\" y=\"236\" >1</text>\n",
+       "    <rect x=\"68\" y=\"264\" width=\"24\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"74\" y=\"284\" >0</text>\n",
+       "    <rect x=\"68\" y=\"360\" width=\"24\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"74\" y=\"380\" >1</text>\n",
+       "    <rect x=\"132\" y=\"408\" width=\"24\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"138\" y=\"428\" >1</text>\n",
+       "    <text x=\"42\" y=\"28\" >p0</text>\n",
+       "    <text x=\"106\" y=\"28\" >p1</text>\n",
+       "    <text x=\"170\" y=\"28\" >p2</text>\n",
+       "    <line x1=\"0\" y1=\"54\" x2=\"232\" y2=\"54\" class=\"solid\"></line>\n",
+       "    <line x1=\"0\" y1=\"58\" x2=\"232\" y2=\"58\" class=\"solid\"></line>\n",
+       "    <text x=\"50\" y=\"76\" >0</text>\n",
+       "    <text x=\"114\" y=\"76\" >0</text>\n",
+       "    <text x=\"178\" y=\"76\" >0</text>\n",
+       "    <text x=\"10\" y=\"92\" >0</text>\n",
+       "    <text x=\"202\" y=\"92\" >1</text>\n",
+       "    <text x=\"50\" y=\"108\" >1</text>\n",
+       "    <text x=\"202\" y=\"108\" >2</text>\n",
+       "    <text x=\"178\" y=\"124\" >2</text>\n",
+       "    <text x=\"138\" y=\"140\" >1</text>\n",
+       "    <text x=\"114\" y=\"156\" >2</text>\n",
+       "    <text x=\"178\" y=\"172\" >2</text>\n",
+       "    <text x=\"10\" y=\"188\" >0</text>\n",
+       "    <text x=\"202\" y=\"188\" >0</text>\n",
+       "    <text x=\"50\" y=\"204\" >2</text>\n",
+       "    <text x=\"202\" y=\"204\" >2</text>\n",
+       "    <text x=\"178\" y=\"220\" >4</text>\n",
+       "    <text x=\"202\" y=\"236\" >0</text>\n",
+       "    <text x=\"114\" y=\"252\" >4</text>\n",
+       "    <text x=\"178\" y=\"252\" >5</text>\n",
+       "    <text x=\"10\" y=\"284\" >1</text>\n",
+       "    <text x=\"138\" y=\"284\" >0</text>\n",
+       "    <text x=\"50\" y=\"300\" >3</text>\n",
+       "    <text x=\"138\" y=\"332\" >1</text>\n",
+       "    <text x=\"114\" y=\"348\" >6</text>\n",
+       "    <text x=\"10\" y=\"380\" >1</text>\n",
+       "    <text x=\"138\" y=\"380\" >0</text>\n",
+       "    <text x=\"50\" y=\"396\" >4</text>\n",
+       "    <text x=\"178\" y=\"412\" >5</text>\n",
+       "    <text x=\"202\" y=\"428\" >0</text>\n",
+       "    <text x=\"114\" y=\"444\" >8</text>\n",
+       "    <text x=\"202\" y=\"444\" >1</text>\n",
+       "    <text x=\"202\" y=\"460\" >2</text>\n",
+       "    <text x=\"178\" y=\"476\" >8</text>\n",
+       "    <text x=\"178\" y=\"316\" >5</text>\n",
+       "    <text x=\"178\" y=\"364\" >5</text>\n",
+       "    <g>\n",
+       "        <path d=\"M 8,72 A 4,4 0,0,0 4,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"4\" y1=\"76\" x2=\"4\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"8\" y1=\"72\" x2=\"24\" y2=\"72\" class=\"solid\"></line>\n",
+       "        <path d=\"M 24,72 A 4,4 0,0,1 28,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"28\" y1=\"76\" x2=\"28\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"28\" y1=\"88\" x2=\"64\" y2=\"88\" class=\"broken\"></line>\n",
+       "        <path d=\"M 4,100 A 4,4 0,0,0 8,104\" class=\"nofill\"></path>\n",
+       "        <line x1=\"8\" y1=\"104\" x2=\"24\" y2=\"104\" class=\"solid\"></line>\n",
+       "        <path d=\"M 28,100 A 4,4 0,0,1 24,104\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 200,72 A 4,4 0,0,0 196,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"76\" x2=\"196\" y2=\"116\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"72\" x2=\"216\" y2=\"72\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,72 A 4,4 0,0,1 220,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"76\" x2=\"220\" y2=\"116\" class=\"solid\"></line>\n",
+       "        <line x1=\"160\" y1=\"88\" x2=\"196\" y2=\"88\" class=\"solid\"></line>\n",
+       "        <line x1=\"172\" y1=\"88\" x2=\"172\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <path d=\"M 172,100 A 4,4 0,0,0 176,104\" class=\"nofill\"></path>\n",
+       "        <line x1=\"176\" y1=\"104\" x2=\"196\" y2=\"104\" class=\"solid\"></line>\n",
+       "        <path d=\"M 196,116 A 4,4 0,0,0 200,120\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"120\" x2=\"216\" y2=\"120\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,116 A 4,4 0,0,1 216,120\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <line x1=\"96\" y1=\"88\" x2=\"128\" y2=\"88\" class=\"broken\"></line>\n",
+       "        <line x1=\"108\" y1=\"88\" x2=\"108\" y2=\"132\" class=\"broken\"></line>\n",
+       "        <path d=\"M 108,132 A 4,4 0,0,0 112,136\" class=\"nofill\"></path>\n",
+       "        <line x1=\"112\" y1=\"136\" x2=\"128\" y2=\"136\" class=\"broken\"></line>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 136,120 A 4,4 0,0,0 132,124\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"124\" x2=\"132\" y2=\"148\" class=\"broken\"></line>\n",
+       "        <line x1=\"136\" y1=\"120\" x2=\"152\" y2=\"120\" class=\"broken\"></line>\n",
+       "        <path d=\"M 152,120 A 4,4 0,0,1 156,124\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 152,120 A 8,8 0,0,1 158,124\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"124\" x2=\"156\" y2=\"148\" class=\"broken\"></line>\n",
+       "        <line x1=\"158\" y1=\"124\" x2=\"160\" y2=\"128\" class=\"solid\"></line>\n",
+       "        <path d=\"M 160,128 A 16,16 0,0,1 160,144\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 132,148 A 4,4 0,0,0 136,152\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"152\" x2=\"152\" y2=\"152\" class=\"broken\"></line>\n",
+       "        <line x1=\"160\" y1=\"144\" x2=\"158\" y2=\"148\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,148 A 4,4 0,0,1 152,152\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 158,148 A 8,8 0,0,1 152,152\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 8,168 A 4,4 0,0,0 4,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"4\" y1=\"172\" x2=\"4\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <line x1=\"8\" y1=\"168\" x2=\"24\" y2=\"168\" class=\"solid\"></line>\n",
+       "        <path d=\"M 24,168 A 4,4 0,0,1 28,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"28\" y1=\"172\" x2=\"28\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <line x1=\"28\" y1=\"184\" x2=\"64\" y2=\"184\" class=\"broken\"></line>\n",
+       "        <path d=\"M 4,196 A 4,4 0,0,0 8,200\" class=\"nofill\"></path>\n",
+       "        <line x1=\"8\" y1=\"200\" x2=\"24\" y2=\"200\" class=\"solid\"></line>\n",
+       "        <path d=\"M 28,196 A 4,4 0,0,1 24,200\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 200,168 A 4,4 0,0,0 196,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"172\" x2=\"196\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"168\" x2=\"216\" y2=\"168\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,168 A 4,4 0,0,1 220,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"172\" x2=\"220\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <line x1=\"160\" y1=\"184\" x2=\"196\" y2=\"184\" class=\"solid\"></line>\n",
+       "        <line x1=\"172\" y1=\"184\" x2=\"172\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <path d=\"M 172,196 A 4,4 0,0,0 176,200\" class=\"nofill\"></path>\n",
+       "        <line x1=\"176\" y1=\"200\" x2=\"196\" y2=\"200\" class=\"solid\"></line>\n",
+       "        <line x1=\"196\" y1=\"216\" x2=\"220\" y2=\"216\" class=\"solid\"></line>\n",
+       "        <line x1=\"160\" y1=\"232\" x2=\"196\" y2=\"232\" class=\"solid\"></line>\n",
+       "        <path d=\"M 196,244 A 4,4 0,0,0 200,248\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"248\" x2=\"216\" y2=\"248\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,244 A 4,4 0,0,1 216,248\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <line x1=\"96\" y1=\"184\" x2=\"128\" y2=\"184\" class=\"broken\"></line>\n",
+       "        <line x1=\"108\" y1=\"184\" x2=\"108\" y2=\"228\" class=\"broken\"></line>\n",
+       "        <path d=\"M 108,228 A 4,4 0,0,0 112,232\" class=\"nofill\"></path>\n",
+       "        <line x1=\"112\" y1=\"232\" x2=\"128\" y2=\"232\" class=\"broken\"></line>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 8,264 A 4,4 0,0,0 4,268\" class=\"nofill\"></path>\n",
+       "        <line x1=\"4\" y1=\"268\" x2=\"4\" y2=\"292\" class=\"solid\"></line>\n",
+       "        <line x1=\"8\" y1=\"264\" x2=\"24\" y2=\"264\" class=\"solid\"></line>\n",
+       "        <path d=\"M 24,264 A 4,4 0,0,1 28,268\" class=\"nofill\"></path>\n",
+       "        <line x1=\"28\" y1=\"268\" x2=\"28\" y2=\"292\" class=\"solid\"></line>\n",
+       "        <line x1=\"28\" y1=\"280\" x2=\"64\" y2=\"280\" class=\"broken\"></line>\n",
+       "        <path d=\"M 4,292 A 4,4 0,0,0 8,296\" class=\"nofill\"></path>\n",
+       "        <line x1=\"8\" y1=\"296\" x2=\"24\" y2=\"296\" class=\"solid\"></line>\n",
+       "        <path d=\"M 28,292 A 4,4 0,0,1 24,296\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 136,264 A 4,4 0,0,0 132,268\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"268\" x2=\"132\" y2=\"292\" class=\"broken\"></line>\n",
+       "        <line x1=\"136\" y1=\"264\" x2=\"152\" y2=\"264\" class=\"broken\"></line>\n",
+       "        <path d=\"M 152,264 A 4,4 0,0,1 156,268\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 152,264 A 8,8 0,0,1 158,268\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"268\" x2=\"156\" y2=\"292\" class=\"broken\"></line>\n",
+       "        <line x1=\"158\" y1=\"268\" x2=\"160\" y2=\"272\" class=\"solid\"></line>\n",
+       "        <path d=\"M 160,272 A 16,16 0,0,1 160,288\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 132,292 A 4,4 0,0,0 136,296\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"296\" x2=\"152\" y2=\"296\" class=\"broken\"></line>\n",
+       "        <line x1=\"160\" y1=\"288\" x2=\"158\" y2=\"292\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,292 A 4,4 0,0,1 152,296\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 158,292 A 8,8 0,0,1 152,296\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <line x1=\"96\" y1=\"280\" x2=\"128\" y2=\"280\" class=\"broken\"></line>\n",
+       "        <line x1=\"108\" y1=\"280\" x2=\"108\" y2=\"324\" class=\"broken\"></line>\n",
+       "        <path d=\"M 108,324 A 4,4 0,0,0 112,328\" class=\"nofill\"></path>\n",
+       "        <line x1=\"112\" y1=\"328\" x2=\"128\" y2=\"328\" class=\"broken\"></line>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 136,312 A 4,4 0,0,0 132,316\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"316\" x2=\"132\" y2=\"340\" class=\"broken\"></line>\n",
+       "        <line x1=\"136\" y1=\"312\" x2=\"152\" y2=\"312\" class=\"broken\"></line>\n",
+       "        <path d=\"M 152,312 A 4,4 0,0,1 156,316\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 152,312 A 8,8 0,0,1 158,316\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"316\" x2=\"156\" y2=\"340\" class=\"broken\"></line>\n",
+       "        <line x1=\"158\" y1=\"316\" x2=\"160\" y2=\"320\" class=\"solid\"></line>\n",
+       "        <path d=\"M 160,320 A 16,16 0,0,1 160,336\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 132,340 A 4,4 0,0,0 136,344\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"344\" x2=\"152\" y2=\"344\" class=\"broken\"></line>\n",
+       "        <line x1=\"160\" y1=\"336\" x2=\"158\" y2=\"340\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,340 A 4,4 0,0,1 152,344\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 158,340 A 8,8 0,0,1 152,344\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 8,360 A 4,4 0,0,0 4,364\" class=\"nofill\"></path>\n",
+       "        <line x1=\"4\" y1=\"364\" x2=\"4\" y2=\"388\" class=\"solid\"></line>\n",
+       "        <line x1=\"8\" y1=\"360\" x2=\"24\" y2=\"360\" class=\"solid\"></line>\n",
+       "        <path d=\"M 24,360 A 4,4 0,0,1 28,364\" class=\"nofill\"></path>\n",
+       "        <line x1=\"28\" y1=\"364\" x2=\"28\" y2=\"388\" class=\"solid\"></line>\n",
+       "        <line x1=\"28\" y1=\"376\" x2=\"64\" y2=\"376\" class=\"broken\"></line>\n",
+       "        <path d=\"M 4,388 A 4,4 0,0,0 8,392\" class=\"nofill\"></path>\n",
+       "        <line x1=\"8\" y1=\"392\" x2=\"24\" y2=\"392\" class=\"solid\"></line>\n",
+       "        <path d=\"M 28,388 A 4,4 0,0,1 24,392\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 136,360 A 4,4 0,0,0 132,364\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"364\" x2=\"132\" y2=\"388\" class=\"broken\"></line>\n",
+       "        <line x1=\"136\" y1=\"360\" x2=\"152\" y2=\"360\" class=\"broken\"></line>\n",
+       "        <path d=\"M 152,360 A 4,4 0,0,1 156,364\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 152,360 A 8,8 0,0,1 158,364\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"364\" x2=\"156\" y2=\"388\" class=\"broken\"></line>\n",
+       "        <line x1=\"158\" y1=\"364\" x2=\"160\" y2=\"368\" class=\"solid\"></line>\n",
+       "        <path d=\"M 160,368 A 16,16 0,0,1 160,384\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 132,388 A 4,4 0,0,0 136,392\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"392\" x2=\"152\" y2=\"392\" class=\"broken\"></line>\n",
+       "        <line x1=\"160\" y1=\"384\" x2=\"158\" y2=\"388\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,388 A 4,4 0,0,1 152,392\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 158,388 A 8,8 0,0,1 152,392\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <line x1=\"96\" y1=\"376\" x2=\"128\" y2=\"376\" class=\"broken\"></line>\n",
+       "        <line x1=\"108\" y1=\"376\" x2=\"108\" y2=\"420\" class=\"broken\"></line>\n",
+       "        <path d=\"M 108,420 A 4,4 0,0,0 112,424\" class=\"nofill\"></path>\n",
+       "        <line x1=\"112\" y1=\"424\" x2=\"128\" y2=\"424\" class=\"broken\"></line>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 200,408 A 4,4 0,0,0 196,412\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"412\" x2=\"196\" y2=\"468\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"408\" x2=\"216\" y2=\"408\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,408 A 4,4 0,0,1 220,412\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"412\" x2=\"220\" y2=\"468\" class=\"solid\"></line>\n",
+       "        <line x1=\"160\" y1=\"424\" x2=\"196\" y2=\"424\" class=\"solid\"></line>\n",
+       "        <line x1=\"172\" y1=\"424\" x2=\"172\" y2=\"452\" class=\"solid\"></line>\n",
+       "        <line x1=\"172\" y1=\"440\" x2=\"196\" y2=\"440\" class=\"solid\"></line>\n",
+       "        <path d=\"M 172,452 A 4,4 0,0,0 176,456\" class=\"nofill\"></path>\n",
+       "        <line x1=\"176\" y1=\"456\" x2=\"196\" y2=\"456\" class=\"solid\"></line>\n",
+       "        <path d=\"M 196,468 A 4,4 0,0,0 200,472\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"472\" x2=\"216\" y2=\"472\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,468 A 4,4 0,0,1 216,472\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "</svg>"
+      ],
+      "text/plain": [
+       ".---.   .~~~.   .~~~.   .---.\n",
+       "|i0 |p0 ┊i1 ┊p1 ┊i2 ┊p2 |i3 |\n",
+       "`---'   `~~~'   `~~~'   `---'\n",
+       "=============================\n",
+       ".--.  0 .~~.  0 .~~.  0 .--.\n",
+       "|0 |~~~~┊0 ┊~+~~┊0 ┊-+--|1 |\n",
+       "`--'  1 `~~' ┊  `~~' `--|2 |\n",
+       "             ┊  .~~.  2 `--'\n",
+       "             `~~┊1 ┊)\n",
+       "              2 `~~'\n",
+       ".--.    .~~.    .~~.  2 .--.\n",
+       "|0 |~~~~┊1 ┊~+~~┊0 ┊-+--|0 |\n",
+       "`--'  2 `~~' ┊  `~~' `--|2 |\n",
+       "             ┊  .~~.  4 |--|\n",
+       "             `~~┊1 ┊----|0 |\n",
+       "              4 `~~'  5 `--'\n",
+       ".--.    .~~.    .~~.\n",
+       "|1 |~~~~┊0 ┊~+~~┊0 ┊)\n",
+       "`--'  3 `~~' ┊  `~~'\n",
+       "             ┊  .~~.  5\n",
+       "             `~~┊1 ┊)\n",
+       "              6 `~~'\n",
+       ".--.    .~~.    .~~.  5\n",
+       "|1 |~~~~┊1 ┊~+~~┊0 ┊)\n",
+       "`--'  4 `~~' ┊  `~~'\n",
+       "             ┊  .~~.  5 .--.\n",
+       "             `~~┊1 ┊-+--|0 |\n",
+       "              8 `~~' |--|1 |\n",
+       "                     `--|2 |\n",
+       "                      8 `--'"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "text/markdown": [
+       "# S-C-DC-S"
+      ],
+      "text/plain": [
+       "<IPython.core.display.Markdown object>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "image/svg+xml": [
+       "<svg xmlns=\"http://www.w3.org/2000/svg\" width=\"240\" height=\"304\">\n",
+       "    <style>line, path, circle,rect,polygon {\n",
+       "                          stroke: black;\n",
+       "                          stroke-width: 2;\n",
+       "                          stroke-opacity: 1;\n",
+       "                          fill-opacity: 1;\n",
+       "                          stroke-linecap: round;\n",
+       "                          stroke-linejoin: miter;\n",
+       "                        }\n",
+       "\n",
+       "                    text {\n",
+       "                        /* This fix the spacing bug in svg text*/\n",
+       "                        white-space: pre;\n",
+       "                        fill: black;\n",
+       "                        }\n",
+       "                        rect.backdrop{\n",
+       "                            stroke: none;\n",
+       "                            fill: white;\n",
+       "                        }\n",
+       "                        .broken{\n",
+       "                            stroke-dasharray: 8;\n",
+       "                        }\n",
+       "                        .filled{\n",
+       "                            fill: black;\n",
+       "                        }\n",
+       "                        .bg_filled{\n",
+       "                            fill: white;\n",
+       "                        }\n",
+       "                        .nofill{\n",
+       "                            fill: white;\n",
+       "                        }\n",
+       "\n",
+       "                        text {\n",
+       "                         font-family: monospace;\n",
+       "                         font-size: 14px;\n",
+       "                        }\n",
+       "\n",
+       "                        .end_marked_arrow{\n",
+       "                            marker-end: url(#arrow);\n",
+       "                         }\n",
+       "                        .start_marked_arrow{\n",
+       "                            marker-start: url(#arrow);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_diamond{\n",
+       "                            marker-end: url(#diamond);\n",
+       "                         }\n",
+       "                        .start_marked_diamond{\n",
+       "                            marker-start: url(#diamond);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_circle{\n",
+       "                            marker-end: url(#circle);\n",
+       "                         }\n",
+       "                        .start_marked_circle{\n",
+       "                            marker-start: url(#circle);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_open_circle{\n",
+       "                            marker-end: url(#open_circle);\n",
+       "                         }\n",
+       "                        .start_marked_open_circle{\n",
+       "                            marker-start: url(#open_circle);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_big_open_circle{\n",
+       "                            marker-end: url(#big_open_circle);\n",
+       "                         }\n",
+       "                        .start_marked_big_open_circle{\n",
+       "                            marker-start: url(#big_open_circle);\n",
+       "                         }\n",
+       "\n",
+       "                         \n",
+       "                        </style>\n",
+       "    <defs>\n",
+       "        <marker id=\"arrow\" viewBox=\"-2 -2 8 8\" refX=\"4\" refY=\"2\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <polygon points=\"0,0 0,4 4,2 0,0\"></polygon>\n",
+       "        </marker>\n",
+       "        <marker id=\"diamond\" viewBox=\"-2 -2 8 8\" refX=\"4\" refY=\"2\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <polygon points=\"0,2 2,0 4,2 2,4 0,2\"></polygon>\n",
+       "        </marker>\n",
+       "        <marker id=\"circle\" viewBox=\"0 0 8 8\" refX=\"4\" refY=\"4\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <circle cx=\"4\" cy=\"4\" r=\"2\" class=\"filled\"></circle>\n",
+       "        </marker>\n",
+       "        <marker id=\"open_circle\" viewBox=\"0 0 8 8\" refX=\"4\" refY=\"4\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <circle cx=\"4\" cy=\"4\" r=\"2\" class=\"bg_filled\"></circle>\n",
+       "        </marker>\n",
+       "        <marker id=\"big_open_circle\" viewBox=\"0 0 8 8\" refX=\"4\" refY=\"4\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <circle cx=\"4\" cy=\"4\" r=\"3\" class=\"bg_filled\"></circle>\n",
+       "        </marker>\n",
+       "    </defs>\n",
+       "    <rect x=\"4\" y=\"8\" width=\"32\" height=\"32\" class=\"solid nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"10\" y=\"28\" >i0</text>\n",
+       "    <rect x=\"68\" y=\"8\" width=\"32\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"74\" y=\"28\" >i1</text>\n",
+       "    <rect x=\"132\" y=\"8\" width=\"32\" height=\"32\" class=\"solid nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"138\" y=\"28\" >i2</text>\n",
+       "    <rect x=\"196\" y=\"8\" width=\"32\" height=\"32\" class=\"solid nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"202\" y=\"28\" >i3</text>\n",
+       "    <rect x=\"68\" y=\"72\" width=\"24\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"74\" y=\"92\" >0</text>\n",
+       "    <rect x=\"68\" y=\"120\" width=\"24\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"74\" y=\"140\" >1</text>\n",
+       "    <rect x=\"68\" y=\"216\" width=\"24\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"74\" y=\"236\" >1</text>\n",
+       "    <text x=\"42\" y=\"28\" >p0</text>\n",
+       "    <text x=\"106\" y=\"28\" >p1</text>\n",
+       "    <text x=\"170\" y=\"28\" >p2</text>\n",
+       "    <line x1=\"0\" y1=\"54\" x2=\"232\" y2=\"54\" class=\"solid\"></line>\n",
+       "    <line x1=\"0\" y1=\"58\" x2=\"232\" y2=\"58\" class=\"solid\"></line>\n",
+       "    <text x=\"50\" y=\"76\" >0</text>\n",
+       "    <text x=\"114\" y=\"76\" >0</text>\n",
+       "    <text x=\"178\" y=\"76\" >0</text>\n",
+       "    <text x=\"10\" y=\"92\" >0</text>\n",
+       "    <text x=\"138\" y=\"92\" >0</text>\n",
+       "    <text x=\"202\" y=\"92\" >1</text>\n",
+       "    <text x=\"50\" y=\"108\" >1</text>\n",
+       "    <text x=\"114\" y=\"108\" >1</text>\n",
+       "    <text x=\"202\" y=\"108\" >2</text>\n",
+       "    <text x=\"178\" y=\"124\" >2</text>\n",
+       "    <text x=\"10\" y=\"140\" >0</text>\n",
+       "    <text x=\"138\" y=\"140\" >0</text>\n",
+       "    <text x=\"202\" y=\"140\" >0</text>\n",
+       "    <text x=\"50\" y=\"156\" >2</text>\n",
+       "    <text x=\"202\" y=\"156\" >2</text>\n",
+       "    <text x=\"178\" y=\"172\" >4</text>\n",
+       "    <text x=\"10\" y=\"188\" >1</text>\n",
+       "    <text x=\"74\" y=\"188\" >0</text>\n",
+       "    <text x=\"138\" y=\"188\" >1</text>\n",
+       "    <text x=\"202\" y=\"188\" >0</text>\n",
+       "    <text x=\"50\" y=\"204\" >3</text>\n",
+       "    <text x=\"114\" y=\"204\" >3</text>\n",
+       "    <text x=\"178\" y=\"204\" >5</text>\n",
+       "    <text x=\"114\" y=\"220\" >3</text>\n",
+       "    <text x=\"10\" y=\"236\" >1</text>\n",
+       "    <text x=\"138\" y=\"236\" >1</text>\n",
+       "    <text x=\"202\" y=\"236\" >0</text>\n",
+       "    <text x=\"50\" y=\"252\" >4</text>\n",
+       "    <text x=\"114\" y=\"252\" >4</text>\n",
+       "    <text x=\"202\" y=\"252\" >1</text>\n",
+       "    <text x=\"202\" y=\"268\" >2</text>\n",
+       "    <text x=\"178\" y=\"284\" >8</text>\n",
+       "    <g>\n",
+       "        <path d=\"M 8,72 A 4,4 0,0,0 4,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"4\" y1=\"76\" x2=\"4\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"8\" y1=\"72\" x2=\"24\" y2=\"72\" class=\"solid\"></line>\n",
+       "        <path d=\"M 24,72 A 4,4 0,0,1 28,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"28\" y1=\"76\" x2=\"28\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"28\" y1=\"88\" x2=\"64\" y2=\"88\" class=\"broken\"></line>\n",
+       "        <path d=\"M 4,100 A 4,4 0,0,0 8,104\" class=\"nofill\"></path>\n",
+       "        <line x1=\"8\" y1=\"104\" x2=\"24\" y2=\"104\" class=\"solid\"></line>\n",
+       "        <path d=\"M 28,100 A 4,4 0,0,1 24,104\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 136,72 A 4,4 0,0,0 132,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"76\" x2=\"132\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"136\" y1=\"72\" x2=\"152\" y2=\"72\" class=\"solid\"></line>\n",
+       "        <path d=\"M 152,72 A 4,4 0,0,1 156,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"76\" x2=\"156\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"96\" y1=\"88\" x2=\"132\" y2=\"88\" class=\"solid\"></line>\n",
+       "        <path d=\"M 132,100 A 4,4 0,0,0 136,104\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"104\" x2=\"152\" y2=\"104\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,100 A 4,4 0,0,1 152,104\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 200,72 A 4,4 0,0,0 196,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"76\" x2=\"196\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"72\" x2=\"216\" y2=\"72\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,72 A 4,4 0,0,1 220,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"76\" x2=\"220\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <line x1=\"156\" y1=\"88\" x2=\"196\" y2=\"88\" class=\"solid\"></line>\n",
+       "        <line x1=\"172\" y1=\"88\" x2=\"172\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <path d=\"M 172,100 A 4,4 0,0,0 176,104\" class=\"nofill\"></path>\n",
+       "        <line x1=\"176\" y1=\"104\" x2=\"196\" y2=\"104\" class=\"solid\"></line>\n",
+       "        <line x1=\"196\" y1=\"120\" x2=\"220\" y2=\"120\" class=\"solid\"></line>\n",
+       "        <line x1=\"196\" y1=\"168\" x2=\"220\" y2=\"168\" class=\"solid\"></line>\n",
+       "        <path d=\"M 196,196 A 4,4 0,0,0 200,200\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"200\" x2=\"216\" y2=\"200\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,196 A 4,4 0,0,1 216,200\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 136,120 A 4,4 0,0,0 132,124\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"124\" x2=\"132\" y2=\"148\" class=\"solid\"></line>\n",
+       "        <line x1=\"136\" y1=\"120\" x2=\"152\" y2=\"120\" class=\"solid\"></line>\n",
+       "        <path d=\"M 152,120 A 4,4 0,0,1 156,124\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"124\" x2=\"156\" y2=\"148\" class=\"solid\"></line>\n",
+       "        <line x1=\"96\" y1=\"136\" x2=\"132\" y2=\"136\" class=\"solid\"></line>\n",
+       "        <line x1=\"108\" y1=\"136\" x2=\"108\" y2=\"180\" class=\"solid\"></line>\n",
+       "        <line x1=\"156\" y1=\"136\" x2=\"196\" y2=\"136\" class=\"solid\"></line>\n",
+       "        <line x1=\"172\" y1=\"136\" x2=\"172\" y2=\"148\" class=\"solid\"></line>\n",
+       "        <path d=\"M 132,148 A 4,4 0,0,0 136,152\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"152\" x2=\"152\" y2=\"152\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,148 A 4,4 0,0,1 152,152\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 172,148 A 4,4 0,0,0 176,152\" class=\"nofill\"></path>\n",
+       "        <line x1=\"176\" y1=\"152\" x2=\"196\" y2=\"152\" class=\"solid\"></line>\n",
+       "        <path d=\"M 108,180 A 4,4 0,0,0 112,184\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 136,168 A 4,4 0,0,0 132,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"172\" x2=\"132\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <line x1=\"136\" y1=\"168\" x2=\"152\" y2=\"168\" class=\"solid\"></line>\n",
+       "        <path d=\"M 152,168 A 4,4 0,0,1 156,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"172\" x2=\"156\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <line x1=\"112\" y1=\"184\" x2=\"132\" y2=\"184\" class=\"solid\"></line>\n",
+       "        <line x1=\"156\" y1=\"184\" x2=\"196\" y2=\"184\" class=\"solid\"></line>\n",
+       "        <path d=\"M 132,196 A 4,4 0,0,0 136,200\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"200\" x2=\"152\" y2=\"200\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,196 A 4,4 0,0,1 152,200\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 8,120 A 4,4 0,0,0 4,124\" class=\"nofill\"></path>\n",
+       "        <line x1=\"4\" y1=\"124\" x2=\"4\" y2=\"148\" class=\"solid\"></line>\n",
+       "        <line x1=\"8\" y1=\"120\" x2=\"24\" y2=\"120\" class=\"solid\"></line>\n",
+       "        <path d=\"M 24,120 A 4,4 0,0,1 28,124\" class=\"nofill\"></path>\n",
+       "        <line x1=\"28\" y1=\"124\" x2=\"28\" y2=\"148\" class=\"solid\"></line>\n",
+       "        <line x1=\"28\" y1=\"136\" x2=\"64\" y2=\"136\" class=\"broken\"></line>\n",
+       "        <path d=\"M 4,148 A 4,4 0,0,0 8,152\" class=\"nofill\"></path>\n",
+       "        <line x1=\"8\" y1=\"152\" x2=\"24\" y2=\"152\" class=\"solid\"></line>\n",
+       "        <path d=\"M 28,148 A 4,4 0,0,1 24,152\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 8,168 A 4,4 0,0,0 4,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"4\" y1=\"172\" x2=\"4\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <line x1=\"8\" y1=\"168\" x2=\"24\" y2=\"168\" class=\"solid\"></line>\n",
+       "        <path d=\"M 24,168 A 4,4 0,0,1 28,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"28\" y1=\"172\" x2=\"28\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <line x1=\"28\" y1=\"184\" x2=\"64\" y2=\"184\" class=\"broken\"></line>\n",
+       "        <path d=\"M 4,196 A 4,4 0,0,0 8,200\" class=\"nofill\"></path>\n",
+       "        <line x1=\"8\" y1=\"200\" x2=\"24\" y2=\"200\" class=\"solid\"></line>\n",
+       "        <path d=\"M 28,196 A 4,4 0,0,1 24,200\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 72,168 A 4,4 0,0,0 68,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"68\" y1=\"172\" x2=\"68\" y2=\"196\" class=\"broken\"></line>\n",
+       "        <line x1=\"72\" y1=\"168\" x2=\"88\" y2=\"168\" class=\"broken\"></line>\n",
+       "        <path d=\"M 88,168 A 4,4 0,0,1 92,172\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 88,168 A 8,8 0,0,1 94,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"92\" y1=\"172\" x2=\"92\" y2=\"196\" class=\"broken\"></line>\n",
+       "        <line x1=\"94\" y1=\"172\" x2=\"96\" y2=\"176\" class=\"solid\"></line>\n",
+       "        <path d=\"M 96,176 A 16,16 0,0,1 96,192\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 68,196 A 4,4 0,0,0 72,200\" class=\"nofill\"></path>\n",
+       "        <line x1=\"72\" y1=\"200\" x2=\"88\" y2=\"200\" class=\"broken\"></line>\n",
+       "        <line x1=\"96\" y1=\"192\" x2=\"94\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <path d=\"M 92,196 A 4,4 0,0,1 88,200\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 94,196 A 8,8 0,0,1 88,200\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 8,216 A 4,4 0,0,0 4,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"4\" y1=\"220\" x2=\"4\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <line x1=\"8\" y1=\"216\" x2=\"24\" y2=\"216\" class=\"solid\"></line>\n",
+       "        <path d=\"M 24,216 A 4,4 0,0,1 28,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"28\" y1=\"220\" x2=\"28\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <line x1=\"28\" y1=\"232\" x2=\"64\" y2=\"232\" class=\"broken\"></line>\n",
+       "        <path d=\"M 4,244 A 4,4 0,0,0 8,248\" class=\"nofill\"></path>\n",
+       "        <line x1=\"8\" y1=\"248\" x2=\"24\" y2=\"248\" class=\"solid\"></line>\n",
+       "        <path d=\"M 28,244 A 4,4 0,0,1 24,248\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 136,216 A 4,4 0,0,0 132,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"220\" x2=\"132\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <line x1=\"136\" y1=\"216\" x2=\"152\" y2=\"216\" class=\"solid\"></line>\n",
+       "        <path d=\"M 152,216 A 4,4 0,0,1 156,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"220\" x2=\"156\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <line x1=\"96\" y1=\"232\" x2=\"132\" y2=\"232\" class=\"solid\"></line>\n",
+       "        <path d=\"M 132,244 A 4,4 0,0,0 136,248\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"248\" x2=\"152\" y2=\"248\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,244 A 4,4 0,0,1 152,248\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 200,216 A 4,4 0,0,0 196,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"220\" x2=\"196\" y2=\"276\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"216\" x2=\"216\" y2=\"216\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,216 A 4,4 0,0,1 220,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"220\" x2=\"220\" y2=\"276\" class=\"solid\"></line>\n",
+       "        <line x1=\"156\" y1=\"232\" x2=\"196\" y2=\"232\" class=\"solid\"></line>\n",
+       "        <line x1=\"172\" y1=\"232\" x2=\"172\" y2=\"260\" class=\"solid\"></line>\n",
+       "        <line x1=\"172\" y1=\"248\" x2=\"196\" y2=\"248\" class=\"solid\"></line>\n",
+       "        <path d=\"M 172,260 A 4,4 0,0,0 176,264\" class=\"nofill\"></path>\n",
+       "        <line x1=\"176\" y1=\"264\" x2=\"196\" y2=\"264\" class=\"solid\"></line>\n",
+       "        <path d=\"M 196,276 A 4,4 0,0,0 200,280\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"280\" x2=\"216\" y2=\"280\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,276 A 4,4 0,0,1 216,280\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "</svg>"
+      ],
+      "text/plain": [
+       ".---.   .~~~.   .---.   .---.\n",
+       "|i0 |p0 ┊i1 ┊p1 |i2 |p2 |i3 |\n",
+       "`---'   `~~~'   `---'   `---'\n",
+       "=============================\n",
+       ".--.  0 .~~.  0 .--.  0 .--.\n",
+       "|0 |~~~~┊0 ┊----|0 |-+--|1 |\n",
+       "`--'  1 `~~'  1 `--' `--|2 |\n",
+       ".--.    .~~.    .--.  2 |--|\n",
+       "|0 |~~~~┊1 ┊-+--|0 |-+--|0 |\n",
+       "`--'  2 `~~' |  `--' `--|2 |\n",
+       ".--.    .~~. |  .--.  4 |--|\n",
+       "|1 |~~~~┊0 ┊)`--|1 |----|0 |\n",
+       "`--'  3 `~~'  3 `--'  5 `--'\n",
+       ".--.    .~~.  3 .--.    .--.\n",
+       "|1 |~~~~┊1 ┊----|1 |-+--|0 |\n",
+       "`--'  4 `~~'  4 `--' |--|1 |\n",
+       "                     `--|2 |\n",
+       "                      8 `--'"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "text/markdown": [
+       "# S-DC-C-S"
+      ],
+      "text/plain": [
+       "<IPython.core.display.Markdown object>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "image/svg+xml": [
+       "<svg xmlns=\"http://www.w3.org/2000/svg\" width=\"240\" height=\"400\">\n",
+       "    <style>line, path, circle,rect,polygon {\n",
+       "                          stroke: black;\n",
+       "                          stroke-width: 2;\n",
+       "                          stroke-opacity: 1;\n",
+       "                          fill-opacity: 1;\n",
+       "                          stroke-linecap: round;\n",
+       "                          stroke-linejoin: miter;\n",
+       "                        }\n",
+       "\n",
+       "                    text {\n",
+       "                        /* This fix the spacing bug in svg text*/\n",
+       "                        white-space: pre;\n",
+       "                        fill: black;\n",
+       "                        }\n",
+       "                        rect.backdrop{\n",
+       "                            stroke: none;\n",
+       "                            fill: white;\n",
+       "                        }\n",
+       "                        .broken{\n",
+       "                            stroke-dasharray: 8;\n",
+       "                        }\n",
+       "                        .filled{\n",
+       "                            fill: black;\n",
+       "                        }\n",
+       "                        .bg_filled{\n",
+       "                            fill: white;\n",
+       "                        }\n",
+       "                        .nofill{\n",
+       "                            fill: white;\n",
+       "                        }\n",
+       "\n",
+       "                        text {\n",
+       "                         font-family: monospace;\n",
+       "                         font-size: 14px;\n",
+       "                        }\n",
+       "\n",
+       "                        .end_marked_arrow{\n",
+       "                            marker-end: url(#arrow);\n",
+       "                         }\n",
+       "                        .start_marked_arrow{\n",
+       "                            marker-start: url(#arrow);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_diamond{\n",
+       "                            marker-end: url(#diamond);\n",
+       "                         }\n",
+       "                        .start_marked_diamond{\n",
+       "                            marker-start: url(#diamond);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_circle{\n",
+       "                            marker-end: url(#circle);\n",
+       "                         }\n",
+       "                        .start_marked_circle{\n",
+       "                            marker-start: url(#circle);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_open_circle{\n",
+       "                            marker-end: url(#open_circle);\n",
+       "                         }\n",
+       "                        .start_marked_open_circle{\n",
+       "                            marker-start: url(#open_circle);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_big_open_circle{\n",
+       "                            marker-end: url(#big_open_circle);\n",
+       "                         }\n",
+       "                        .start_marked_big_open_circle{\n",
+       "                            marker-start: url(#big_open_circle);\n",
+       "                         }\n",
+       "\n",
+       "                         \n",
+       "                        </style>\n",
+       "    <defs>\n",
+       "        <marker id=\"arrow\" viewBox=\"-2 -2 8 8\" refX=\"4\" refY=\"2\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <polygon points=\"0,0 0,4 4,2 0,0\"></polygon>\n",
+       "        </marker>\n",
+       "        <marker id=\"diamond\" viewBox=\"-2 -2 8 8\" refX=\"4\" refY=\"2\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <polygon points=\"0,2 2,0 4,2 2,4 0,2\"></polygon>\n",
+       "        </marker>\n",
+       "        <marker id=\"circle\" viewBox=\"0 0 8 8\" refX=\"4\" refY=\"4\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <circle cx=\"4\" cy=\"4\" r=\"2\" class=\"filled\"></circle>\n",
+       "        </marker>\n",
+       "        <marker id=\"open_circle\" viewBox=\"0 0 8 8\" refX=\"4\" refY=\"4\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <circle cx=\"4\" cy=\"4\" r=\"2\" class=\"bg_filled\"></circle>\n",
+       "        </marker>\n",
+       "        <marker id=\"big_open_circle\" viewBox=\"0 0 8 8\" refX=\"4\" refY=\"4\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <circle cx=\"4\" cy=\"4\" r=\"3\" class=\"bg_filled\"></circle>\n",
+       "        </marker>\n",
+       "    </defs>\n",
+       "    <rect x=\"4\" y=\"8\" width=\"32\" height=\"32\" class=\"solid nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"10\" y=\"28\" >i0</text>\n",
+       "    <rect x=\"68\" y=\"8\" width=\"32\" height=\"32\" class=\"solid nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"74\" y=\"28\" >i1</text>\n",
+       "    <rect x=\"132\" y=\"8\" width=\"32\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"138\" y=\"28\" >i2</text>\n",
+       "    <rect x=\"196\" y=\"8\" width=\"32\" height=\"32\" class=\"solid nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"202\" y=\"28\" >i3</text>\n",
+       "    <rect x=\"132\" y=\"72\" width=\"24\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"138\" y=\"92\" >0</text>\n",
+       "    <rect x=\"132\" y=\"168\" width=\"24\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"138\" y=\"188\" >0</text>\n",
+       "    <rect x=\"132\" y=\"216\" width=\"24\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"138\" y=\"236\" >1</text>\n",
+       "    <rect x=\"132\" y=\"312\" width=\"24\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"138\" y=\"332\" >1</text>\n",
+       "    <text x=\"42\" y=\"28\" >p0</text>\n",
+       "    <text x=\"106\" y=\"28\" >p1</text>\n",
+       "    <text x=\"170\" y=\"28\" >p2</text>\n",
+       "    <line x1=\"0\" y1=\"54\" x2=\"232\" y2=\"54\" class=\"solid\"></line>\n",
+       "    <line x1=\"0\" y1=\"58\" x2=\"232\" y2=\"58\" class=\"solid\"></line>\n",
+       "    <text x=\"50\" y=\"76\" >0</text>\n",
+       "    <text x=\"114\" y=\"76\" >0</text>\n",
+       "    <text x=\"178\" y=\"76\" >0</text>\n",
+       "    <text x=\"10\" y=\"92\" >0</text>\n",
+       "    <text x=\"74\" y=\"92\" >0</text>\n",
+       "    <text x=\"202\" y=\"92\" >1</text>\n",
+       "    <text x=\"50\" y=\"108\" >1</text>\n",
+       "    <text x=\"202\" y=\"108\" >2</text>\n",
+       "    <text x=\"178\" y=\"124\" >2</text>\n",
+       "    <text x=\"138\" y=\"140\" >1</text>\n",
+       "    <text x=\"114\" y=\"156\" >2</text>\n",
+       "    <text x=\"178\" y=\"172\" >2</text>\n",
+       "    <text x=\"10\" y=\"188\" >0</text>\n",
+       "    <text x=\"74\" y=\"188\" >1</text>\n",
+       "    <text x=\"202\" y=\"188\" >0</text>\n",
+       "    <text x=\"50\" y=\"204\" >2</text>\n",
+       "    <text x=\"202\" y=\"204\" >2</text>\n",
+       "    <text x=\"178\" y=\"220\" >4</text>\n",
+       "    <text x=\"202\" y=\"236\" >0</text>\n",
+       "    <text x=\"114\" y=\"252\" >4</text>\n",
+       "    <text x=\"178\" y=\"252\" >5</text>\n",
+       "    <text x=\"10\" y=\"284\" >1</text>\n",
+       "    <text x=\"74\" y=\"284\" >1</text>\n",
+       "    <text x=\"138\" y=\"284\" >0</text>\n",
+       "    <text x=\"50\" y=\"300\" >3</text>\n",
+       "    <text x=\"178\" y=\"316\" >5</text>\n",
+       "    <text x=\"202\" y=\"332\" >0</text>\n",
+       "    <text x=\"114\" y=\"348\" >6</text>\n",
+       "    <text x=\"202\" y=\"348\" >1</text>\n",
+       "    <text x=\"202\" y=\"364\" >2</text>\n",
+       "    <text x=\"178\" y=\"380\" >8</text>\n",
+       "    <g>\n",
+       "        <path d=\"M 8,72 A 4,4 0,0,0 4,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"4\" y1=\"76\" x2=\"4\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"8\" y1=\"72\" x2=\"24\" y2=\"72\" class=\"solid\"></line>\n",
+       "        <path d=\"M 24,72 A 4,4 0,0,1 28,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"28\" y1=\"76\" x2=\"28\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <path d=\"M 4,100 A 4,4 0,0,0 8,104\" class=\"nofill\"></path>\n",
+       "        <line x1=\"8\" y1=\"104\" x2=\"24\" y2=\"104\" class=\"solid\"></line>\n",
+       "        <path d=\"M 28,100 A 4,4 0,0,1 24,104\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 72,72 A 4,4 0,0,0 68,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"68\" y1=\"76\" x2=\"68\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"72\" y1=\"72\" x2=\"88\" y2=\"72\" class=\"solid\"></line>\n",
+       "        <path d=\"M 88,72 A 4,4 0,0,1 92,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"92\" y1=\"76\" x2=\"92\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"28\" y1=\"88\" x2=\"68\" y2=\"88\" class=\"broken\"></line>\n",
+       "        <line x1=\"92\" y1=\"88\" x2=\"128\" y2=\"88\" class=\"broken\"></line>\n",
+       "        <line x1=\"108\" y1=\"88\" x2=\"108\" y2=\"132\" class=\"broken\"></line>\n",
+       "        <path d=\"M 68,100 A 4,4 0,0,0 72,104\" class=\"nofill\"></path>\n",
+       "        <line x1=\"72\" y1=\"104\" x2=\"88\" y2=\"104\" class=\"solid\"></line>\n",
+       "        <path d=\"M 92,100 A 4,4 0,0,1 88,104\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 108,132 A 4,4 0,0,0 112,136\" class=\"nofill\"></path>\n",
+       "        <line x1=\"112\" y1=\"136\" x2=\"128\" y2=\"136\" class=\"broken\"></line>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 200,72 A 4,4 0,0,0 196,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"76\" x2=\"196\" y2=\"116\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"72\" x2=\"216\" y2=\"72\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,72 A 4,4 0,0,1 220,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"76\" x2=\"220\" y2=\"116\" class=\"solid\"></line>\n",
+       "        <line x1=\"160\" y1=\"88\" x2=\"196\" y2=\"88\" class=\"solid\"></line>\n",
+       "        <line x1=\"172\" y1=\"88\" x2=\"172\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <path d=\"M 172,100 A 4,4 0,0,0 176,104\" class=\"nofill\"></path>\n",
+       "        <line x1=\"176\" y1=\"104\" x2=\"196\" y2=\"104\" class=\"solid\"></line>\n",
+       "        <path d=\"M 196,116 A 4,4 0,0,0 200,120\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"120\" x2=\"216\" y2=\"120\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,116 A 4,4 0,0,1 216,120\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 136,120 A 4,4 0,0,0 132,124\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"124\" x2=\"132\" y2=\"148\" class=\"broken\"></line>\n",
+       "        <line x1=\"136\" y1=\"120\" x2=\"152\" y2=\"120\" class=\"broken\"></line>\n",
+       "        <path d=\"M 152,120 A 4,4 0,0,1 156,124\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 152,120 A 8,8 0,0,1 158,124\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"124\" x2=\"156\" y2=\"148\" class=\"broken\"></line>\n",
+       "        <line x1=\"158\" y1=\"124\" x2=\"160\" y2=\"128\" class=\"solid\"></line>\n",
+       "        <path d=\"M 160,128 A 16,16 0,0,1 160,144\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 132,148 A 4,4 0,0,0 136,152\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"152\" x2=\"152\" y2=\"152\" class=\"broken\"></line>\n",
+       "        <line x1=\"160\" y1=\"144\" x2=\"158\" y2=\"148\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,148 A 4,4 0,0,1 152,152\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 158,148 A 8,8 0,0,1 152,152\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 8,168 A 4,4 0,0,0 4,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"4\" y1=\"172\" x2=\"4\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <line x1=\"8\" y1=\"168\" x2=\"24\" y2=\"168\" class=\"solid\"></line>\n",
+       "        <path d=\"M 24,168 A 4,4 0,0,1 28,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"28\" y1=\"172\" x2=\"28\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <path d=\"M 4,196 A 4,4 0,0,0 8,200\" class=\"nofill\"></path>\n",
+       "        <line x1=\"8\" y1=\"200\" x2=\"24\" y2=\"200\" class=\"solid\"></line>\n",
+       "        <path d=\"M 28,196 A 4,4 0,0,1 24,200\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 72,168 A 4,4 0,0,0 68,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"68\" y1=\"172\" x2=\"68\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <line x1=\"72\" y1=\"168\" x2=\"88\" y2=\"168\" class=\"solid\"></line>\n",
+       "        <path d=\"M 88,168 A 4,4 0,0,1 92,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"92\" y1=\"172\" x2=\"92\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <line x1=\"28\" y1=\"184\" x2=\"68\" y2=\"184\" class=\"broken\"></line>\n",
+       "        <line x1=\"92\" y1=\"184\" x2=\"128\" y2=\"184\" class=\"broken\"></line>\n",
+       "        <line x1=\"108\" y1=\"184\" x2=\"108\" y2=\"228\" class=\"broken\"></line>\n",
+       "        <path d=\"M 68,196 A 4,4 0,0,0 72,200\" class=\"nofill\"></path>\n",
+       "        <line x1=\"72\" y1=\"200\" x2=\"88\" y2=\"200\" class=\"solid\"></line>\n",
+       "        <path d=\"M 92,196 A 4,4 0,0,1 88,200\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 108,228 A 4,4 0,0,0 112,232\" class=\"nofill\"></path>\n",
+       "        <line x1=\"112\" y1=\"232\" x2=\"128\" y2=\"232\" class=\"broken\"></line>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 200,168 A 4,4 0,0,0 196,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"172\" x2=\"196\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"168\" x2=\"216\" y2=\"168\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,168 A 4,4 0,0,1 220,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"172\" x2=\"220\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <line x1=\"160\" y1=\"184\" x2=\"196\" y2=\"184\" class=\"solid\"></line>\n",
+       "        <line x1=\"172\" y1=\"184\" x2=\"172\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <path d=\"M 172,196 A 4,4 0,0,0 176,200\" class=\"nofill\"></path>\n",
+       "        <line x1=\"176\" y1=\"200\" x2=\"196\" y2=\"200\" class=\"solid\"></line>\n",
+       "        <line x1=\"196\" y1=\"216\" x2=\"220\" y2=\"216\" class=\"solid\"></line>\n",
+       "        <line x1=\"160\" y1=\"232\" x2=\"196\" y2=\"232\" class=\"solid\"></line>\n",
+       "        <path d=\"M 196,244 A 4,4 0,0,0 200,248\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"248\" x2=\"216\" y2=\"248\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,244 A 4,4 0,0,1 216,248\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 8,264 A 4,4 0,0,0 4,268\" class=\"nofill\"></path>\n",
+       "        <line x1=\"4\" y1=\"268\" x2=\"4\" y2=\"292\" class=\"solid\"></line>\n",
+       "        <line x1=\"8\" y1=\"264\" x2=\"24\" y2=\"264\" class=\"solid\"></line>\n",
+       "        <path d=\"M 24,264 A 4,4 0,0,1 28,268\" class=\"nofill\"></path>\n",
+       "        <line x1=\"28\" y1=\"268\" x2=\"28\" y2=\"292\" class=\"solid\"></line>\n",
+       "        <path d=\"M 4,292 A 4,4 0,0,0 8,296\" class=\"nofill\"></path>\n",
+       "        <line x1=\"8\" y1=\"296\" x2=\"24\" y2=\"296\" class=\"solid\"></line>\n",
+       "        <path d=\"M 28,292 A 4,4 0,0,1 24,296\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 72,264 A 4,4 0,0,0 68,268\" class=\"nofill\"></path>\n",
+       "        <line x1=\"68\" y1=\"268\" x2=\"68\" y2=\"292\" class=\"solid\"></line>\n",
+       "        <line x1=\"72\" y1=\"264\" x2=\"88\" y2=\"264\" class=\"solid\"></line>\n",
+       "        <path d=\"M 88,264 A 4,4 0,0,1 92,268\" class=\"nofill\"></path>\n",
+       "        <line x1=\"92\" y1=\"268\" x2=\"92\" y2=\"292\" class=\"solid\"></line>\n",
+       "        <line x1=\"28\" y1=\"280\" x2=\"68\" y2=\"280\" class=\"broken\"></line>\n",
+       "        <line x1=\"92\" y1=\"280\" x2=\"128\" y2=\"280\" class=\"broken\"></line>\n",
+       "        <line x1=\"108\" y1=\"280\" x2=\"108\" y2=\"324\" class=\"broken\"></line>\n",
+       "        <path d=\"M 68,292 A 4,4 0,0,0 72,296\" class=\"nofill\"></path>\n",
+       "        <line x1=\"72\" y1=\"296\" x2=\"88\" y2=\"296\" class=\"solid\"></line>\n",
+       "        <path d=\"M 92,292 A 4,4 0,0,1 88,296\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 108,324 A 4,4 0,0,0 112,328\" class=\"nofill\"></path>\n",
+       "        <line x1=\"112\" y1=\"328\" x2=\"128\" y2=\"328\" class=\"broken\"></line>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 136,264 A 4,4 0,0,0 132,268\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"268\" x2=\"132\" y2=\"292\" class=\"broken\"></line>\n",
+       "        <line x1=\"136\" y1=\"264\" x2=\"152\" y2=\"264\" class=\"broken\"></line>\n",
+       "        <path d=\"M 152,264 A 4,4 0,0,1 156,268\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 152,264 A 8,8 0,0,1 158,268\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"268\" x2=\"156\" y2=\"292\" class=\"broken\"></line>\n",
+       "        <line x1=\"158\" y1=\"268\" x2=\"160\" y2=\"272\" class=\"solid\"></line>\n",
+       "        <path d=\"M 160,272 A 16,16 0,0,1 160,288\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 132,292 A 4,4 0,0,0 136,296\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"296\" x2=\"152\" y2=\"296\" class=\"broken\"></line>\n",
+       "        <line x1=\"160\" y1=\"288\" x2=\"158\" y2=\"292\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,292 A 4,4 0,0,1 152,296\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 158,292 A 8,8 0,0,1 152,296\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 200,312 A 4,4 0,0,0 196,316\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"316\" x2=\"196\" y2=\"372\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"312\" x2=\"216\" y2=\"312\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,312 A 4,4 0,0,1 220,316\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"316\" x2=\"220\" y2=\"372\" class=\"solid\"></line>\n",
+       "        <line x1=\"160\" y1=\"328\" x2=\"196\" y2=\"328\" class=\"solid\"></line>\n",
+       "        <line x1=\"172\" y1=\"328\" x2=\"172\" y2=\"356\" class=\"solid\"></line>\n",
+       "        <line x1=\"172\" y1=\"344\" x2=\"196\" y2=\"344\" class=\"solid\"></line>\n",
+       "        <path d=\"M 172,356 A 4,4 0,0,0 176,360\" class=\"nofill\"></path>\n",
+       "        <line x1=\"176\" y1=\"360\" x2=\"196\" y2=\"360\" class=\"solid\"></line>\n",
+       "        <path d=\"M 196,372 A 4,4 0,0,0 200,376\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"376\" x2=\"216\" y2=\"376\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,372 A 4,4 0,0,1 216,376\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "</svg>"
+      ],
+      "text/plain": [
+       ".---.   .---.   .~~~.   .---.\n",
+       "|i0 |p0 |i1 |p1 ┊i2 ┊p2 |i3 |\n",
+       "`---'   `---'   `~~~'   `---'\n",
+       "=============================\n",
+       ".--.  0 .--.  0 .~~.  0 .--.\n",
+       "|0 |~~~~|0 |~+~~┊0 ┊-+--|1 |\n",
+       "`--'  1 `--' ┊  `~~' `--|2 |\n",
+       "             ┊  .~~.  2 `--'\n",
+       "             `~~┊1 ┊)\n",
+       "              2 `~~'\n",
+       ".--.    .--.    .~~.  2 .--.\n",
+       "|0 |~~~~|1 |~+~~┊0 ┊-+--|0 |\n",
+       "`--'  2 `--' ┊  `~~' `--|2 |\n",
+       "             ┊  .~~.  4 |--|\n",
+       "             `~~┊1 ┊----|0 |\n",
+       "              4 `~~'  5 `--'\n",
+       ".--.    .--.    .~~.\n",
+       "|1 |~~~~|1 |~+~~┊0 ┊)\n",
+       "`--'  3 `--' ┊  `~~'\n",
+       "             ┊  .~~.  5 .--.\n",
+       "             `~~┊1 ┊-+--|0 |\n",
+       "              6 `~~' |--|1 |\n",
+       "                     `--|2 |\n",
+       "                      8 `--'"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "text/markdown": [
+       "# C-S-S-S"
+      ],
+      "text/plain": [
+       "<IPython.core.display.Markdown object>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "image/svg+xml": [
+       "<svg xmlns=\"http://www.w3.org/2000/svg\" width=\"240\" height=\"464\">\n",
+       "    <style>line, path, circle,rect,polygon {\n",
+       "                          stroke: black;\n",
+       "                          stroke-width: 2;\n",
+       "                          stroke-opacity: 1;\n",
+       "                          fill-opacity: 1;\n",
+       "                          stroke-linecap: round;\n",
+       "                          stroke-linejoin: miter;\n",
+       "                        }\n",
+       "\n",
+       "                    text {\n",
+       "                        /* This fix the spacing bug in svg text*/\n",
+       "                        white-space: pre;\n",
+       "                        fill: black;\n",
+       "                        }\n",
+       "                        rect.backdrop{\n",
+       "                            stroke: none;\n",
+       "                            fill: white;\n",
+       "                        }\n",
+       "                        .broken{\n",
+       "                            stroke-dasharray: 8;\n",
+       "                        }\n",
+       "                        .filled{\n",
+       "                            fill: black;\n",
+       "                        }\n",
+       "                        .bg_filled{\n",
+       "                            fill: white;\n",
+       "                        }\n",
+       "                        .nofill{\n",
+       "                            fill: white;\n",
+       "                        }\n",
+       "\n",
+       "                        text {\n",
+       "                         font-family: monospace;\n",
+       "                         font-size: 14px;\n",
+       "                        }\n",
+       "\n",
+       "                        .end_marked_arrow{\n",
+       "                            marker-end: url(#arrow);\n",
+       "                         }\n",
+       "                        .start_marked_arrow{\n",
+       "                            marker-start: url(#arrow);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_diamond{\n",
+       "                            marker-end: url(#diamond);\n",
+       "                         }\n",
+       "                        .start_marked_diamond{\n",
+       "                            marker-start: url(#diamond);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_circle{\n",
+       "                            marker-end: url(#circle);\n",
+       "                         }\n",
+       "                        .start_marked_circle{\n",
+       "                            marker-start: url(#circle);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_open_circle{\n",
+       "                            marker-end: url(#open_circle);\n",
+       "                         }\n",
+       "                        .start_marked_open_circle{\n",
+       "                            marker-start: url(#open_circle);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_big_open_circle{\n",
+       "                            marker-end: url(#big_open_circle);\n",
+       "                         }\n",
+       "                        .start_marked_big_open_circle{\n",
+       "                            marker-start: url(#big_open_circle);\n",
+       "                         }\n",
+       "\n",
+       "                         \n",
+       "                        </style>\n",
+       "    <defs>\n",
+       "        <marker id=\"arrow\" viewBox=\"-2 -2 8 8\" refX=\"4\" refY=\"2\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <polygon points=\"0,0 0,4 4,2 0,0\"></polygon>\n",
+       "        </marker>\n",
+       "        <marker id=\"diamond\" viewBox=\"-2 -2 8 8\" refX=\"4\" refY=\"2\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <polygon points=\"0,2 2,0 4,2 2,4 0,2\"></polygon>\n",
+       "        </marker>\n",
+       "        <marker id=\"circle\" viewBox=\"0 0 8 8\" refX=\"4\" refY=\"4\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <circle cx=\"4\" cy=\"4\" r=\"2\" class=\"filled\"></circle>\n",
+       "        </marker>\n",
+       "        <marker id=\"open_circle\" viewBox=\"0 0 8 8\" refX=\"4\" refY=\"4\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <circle cx=\"4\" cy=\"4\" r=\"2\" class=\"bg_filled\"></circle>\n",
+       "        </marker>\n",
+       "        <marker id=\"big_open_circle\" viewBox=\"0 0 8 8\" refX=\"4\" refY=\"4\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <circle cx=\"4\" cy=\"4\" r=\"3\" class=\"bg_filled\"></circle>\n",
+       "        </marker>\n",
+       "    </defs>\n",
+       "    <rect x=\"4\" y=\"8\" width=\"32\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"10\" y=\"28\" >i0</text>\n",
+       "    <rect x=\"68\" y=\"8\" width=\"32\" height=\"32\" class=\"solid nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"74\" y=\"28\" >i1</text>\n",
+       "    <rect x=\"132\" y=\"8\" width=\"32\" height=\"32\" class=\"solid nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"138\" y=\"28\" >i2</text>\n",
+       "    <rect x=\"196\" y=\"8\" width=\"32\" height=\"32\" class=\"solid nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"202\" y=\"28\" >i3</text>\n",
+       "    <rect x=\"4\" y=\"72\" width=\"24\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"10\" y=\"92\" >0</text>\n",
+       "    <rect x=\"4\" y=\"312\" width=\"24\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"10\" y=\"332\" >1</text>\n",
+       "    <text x=\"42\" y=\"28\" >p0</text>\n",
+       "    <text x=\"106\" y=\"28\" >p1</text>\n",
+       "    <text x=\"170\" y=\"28\" >p2</text>\n",
+       "    <line x1=\"0\" y1=\"54\" x2=\"232\" y2=\"54\" class=\"solid\"></line>\n",
+       "    <line x1=\"0\" y1=\"58\" x2=\"232\" y2=\"58\" class=\"solid\"></line>\n",
+       "    <text x=\"50\" y=\"76\" >0</text>\n",
+       "    <text x=\"114\" y=\"76\" >0</text>\n",
+       "    <text x=\"178\" y=\"76\" >0</text>\n",
+       "    <text x=\"74\" y=\"92\" >0</text>\n",
+       "    <text x=\"138\" y=\"92\" >0</text>\n",
+       "    <text x=\"202\" y=\"92\" >1</text>\n",
+       "    <text x=\"114\" y=\"108\" >1</text>\n",
+       "    <text x=\"178\" y=\"108\" >1</text>\n",
+       "    <text x=\"74\" y=\"140\" >0</text>\n",
+       "    <text x=\"138\" y=\"140\" >0</text>\n",
+       "    <text x=\"202\" y=\"140\" >2</text>\n",
+       "    <text x=\"114\" y=\"156\" >2</text>\n",
+       "    <text x=\"178\" y=\"156\" >2</text>\n",
+       "    <text x=\"74\" y=\"188\" >1</text>\n",
+       "    <text x=\"138\" y=\"188\" >0</text>\n",
+       "    <text x=\"202\" y=\"188\" >0</text>\n",
+       "    <text x=\"114\" y=\"204\" >3</text>\n",
+       "    <text x=\"178\" y=\"204\" >3</text>\n",
+       "    <text x=\"74\" y=\"236\" >1</text>\n",
+       "    <text x=\"138\" y=\"236\" >0</text>\n",
+       "    <text x=\"202\" y=\"236\" >2</text>\n",
+       "    <text x=\"114\" y=\"252\" >4</text>\n",
+       "    <text x=\"178\" y=\"252\" >4</text>\n",
+       "    <text x=\"74\" y=\"284\" >1</text>\n",
+       "    <text x=\"138\" y=\"284\" >1</text>\n",
+       "    <text x=\"202\" y=\"284\" >0</text>\n",
+       "    <text x=\"50\" y=\"300\" >5</text>\n",
+       "    <text x=\"114\" y=\"300\" >5</text>\n",
+       "    <text x=\"178\" y=\"300\" >5</text>\n",
+       "    <text x=\"74\" y=\"332\" >1</text>\n",
+       "    <text x=\"138\" y=\"332\" >1</text>\n",
+       "    <text x=\"202\" y=\"332\" >0</text>\n",
+       "    <text x=\"114\" y=\"348\" >6</text>\n",
+       "    <text x=\"178\" y=\"348\" >6</text>\n",
+       "    <text x=\"74\" y=\"380\" >1</text>\n",
+       "    <text x=\"138\" y=\"380\" >1</text>\n",
+       "    <text x=\"202\" y=\"380\" >1</text>\n",
+       "    <text x=\"114\" y=\"396\" >7</text>\n",
+       "    <text x=\"178\" y=\"396\" >7</text>\n",
+       "    <text x=\"74\" y=\"428\" >1</text>\n",
+       "    <text x=\"138\" y=\"428\" >1</text>\n",
+       "    <text x=\"202\" y=\"428\" >2</text>\n",
+       "    <text x=\"50\" y=\"444\" >8</text>\n",
+       "    <text x=\"114\" y=\"444\" >8</text>\n",
+       "    <text x=\"178\" y=\"444\" >8</text>\n",
+       "    <g>\n",
+       "        <path d=\"M 72,72 A 4,4 0,0,0 68,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"68\" y1=\"76\" x2=\"68\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"72\" y1=\"72\" x2=\"88\" y2=\"72\" class=\"solid\"></line>\n",
+       "        <path d=\"M 88,72 A 4,4 0,0,1 92,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"92\" y1=\"76\" x2=\"92\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"32\" y1=\"88\" x2=\"68\" y2=\"88\" class=\"solid\"></line>\n",
+       "        <line x1=\"44\" y1=\"88\" x2=\"44\" y2=\"276\" class=\"solid\"></line>\n",
+       "        <path d=\"M 68,100 A 4,4 0,0,0 72,104\" class=\"nofill\"></path>\n",
+       "        <line x1=\"72\" y1=\"104\" x2=\"88\" y2=\"104\" class=\"solid\"></line>\n",
+       "        <path d=\"M 92,100 A 4,4 0,0,1 88,104\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 44,276 A 4,4 0,0,0 48,280\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 136,72 A 4,4 0,0,0 132,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"76\" x2=\"132\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"136\" y1=\"72\" x2=\"152\" y2=\"72\" class=\"solid\"></line>\n",
+       "        <path d=\"M 152,72 A 4,4 0,0,1 156,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"76\" x2=\"156\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"92\" y1=\"88\" x2=\"132\" y2=\"88\" class=\"broken\"></line>\n",
+       "        <path d=\"M 132,100 A 4,4 0,0,0 136,104\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"104\" x2=\"152\" y2=\"104\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,100 A 4,4 0,0,1 152,104\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 200,72 A 4,4 0,0,0 196,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"76\" x2=\"196\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"72\" x2=\"216\" y2=\"72\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,72 A 4,4 0,0,1 220,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"76\" x2=\"220\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"156\" y1=\"88\" x2=\"196\" y2=\"88\" class=\"broken\"></line>\n",
+       "        <path d=\"M 196,100 A 4,4 0,0,0 200,104\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"104\" x2=\"216\" y2=\"104\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,100 A 4,4 0,0,1 216,104\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 72,120 A 4,4 0,0,0 68,124\" class=\"nofill\"></path>\n",
+       "        <line x1=\"68\" y1=\"124\" x2=\"68\" y2=\"148\" class=\"solid\"></line>\n",
+       "        <line x1=\"72\" y1=\"120\" x2=\"88\" y2=\"120\" class=\"solid\"></line>\n",
+       "        <path d=\"M 88,120 A 4,4 0,0,1 92,124\" class=\"nofill\"></path>\n",
+       "        <line x1=\"92\" y1=\"124\" x2=\"92\" y2=\"148\" class=\"solid\"></line>\n",
+       "        <line x1=\"44\" y1=\"136\" x2=\"68\" y2=\"136\" class=\"solid\"></line>\n",
+       "        <path d=\"M 68,148 A 4,4 0,0,0 72,152\" class=\"nofill\"></path>\n",
+       "        <line x1=\"72\" y1=\"152\" x2=\"88\" y2=\"152\" class=\"solid\"></line>\n",
+       "        <path d=\"M 92,148 A 4,4 0,0,1 88,152\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 136,120 A 4,4 0,0,0 132,124\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"124\" x2=\"132\" y2=\"148\" class=\"solid\"></line>\n",
+       "        <line x1=\"136\" y1=\"120\" x2=\"152\" y2=\"120\" class=\"solid\"></line>\n",
+       "        <path d=\"M 152,120 A 4,4 0,0,1 156,124\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"124\" x2=\"156\" y2=\"148\" class=\"solid\"></line>\n",
+       "        <line x1=\"92\" y1=\"136\" x2=\"132\" y2=\"136\" class=\"broken\"></line>\n",
+       "        <path d=\"M 132,148 A 4,4 0,0,0 136,152\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"152\" x2=\"152\" y2=\"152\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,148 A 4,4 0,0,1 152,152\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 200,120 A 4,4 0,0,0 196,124\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"124\" x2=\"196\" y2=\"148\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"120\" x2=\"216\" y2=\"120\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,120 A 4,4 0,0,1 220,124\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"124\" x2=\"220\" y2=\"148\" class=\"solid\"></line>\n",
+       "        <line x1=\"156\" y1=\"136\" x2=\"196\" y2=\"136\" class=\"broken\"></line>\n",
+       "        <path d=\"M 196,148 A 4,4 0,0,0 200,152\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"152\" x2=\"216\" y2=\"152\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,148 A 4,4 0,0,1 216,152\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 72,168 A 4,4 0,0,0 68,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"68\" y1=\"172\" x2=\"68\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <line x1=\"72\" y1=\"168\" x2=\"88\" y2=\"168\" class=\"solid\"></line>\n",
+       "        <path d=\"M 88,168 A 4,4 0,0,1 92,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"92\" y1=\"172\" x2=\"92\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <line x1=\"44\" y1=\"184\" x2=\"68\" y2=\"184\" class=\"solid\"></line>\n",
+       "        <path d=\"M 68,196 A 4,4 0,0,0 72,200\" class=\"nofill\"></path>\n",
+       "        <line x1=\"72\" y1=\"200\" x2=\"88\" y2=\"200\" class=\"solid\"></line>\n",
+       "        <path d=\"M 92,196 A 4,4 0,0,1 88,200\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 136,168 A 4,4 0,0,0 132,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"172\" x2=\"132\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <line x1=\"136\" y1=\"168\" x2=\"152\" y2=\"168\" class=\"solid\"></line>\n",
+       "        <path d=\"M 152,168 A 4,4 0,0,1 156,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"172\" x2=\"156\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <line x1=\"92\" y1=\"184\" x2=\"132\" y2=\"184\" class=\"broken\"></line>\n",
+       "        <path d=\"M 132,196 A 4,4 0,0,0 136,200\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"200\" x2=\"152\" y2=\"200\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,196 A 4,4 0,0,1 152,200\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 200,168 A 4,4 0,0,0 196,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"172\" x2=\"196\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"168\" x2=\"216\" y2=\"168\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,168 A 4,4 0,0,1 220,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"172\" x2=\"220\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <line x1=\"156\" y1=\"184\" x2=\"196\" y2=\"184\" class=\"broken\"></line>\n",
+       "        <path d=\"M 196,196 A 4,4 0,0,0 200,200\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"200\" x2=\"216\" y2=\"200\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,196 A 4,4 0,0,1 216,200\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 72,216 A 4,4 0,0,0 68,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"68\" y1=\"220\" x2=\"68\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <line x1=\"72\" y1=\"216\" x2=\"88\" y2=\"216\" class=\"solid\"></line>\n",
+       "        <path d=\"M 88,216 A 4,4 0,0,1 92,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"92\" y1=\"220\" x2=\"92\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <line x1=\"44\" y1=\"232\" x2=\"68\" y2=\"232\" class=\"solid\"></line>\n",
+       "        <path d=\"M 68,244 A 4,4 0,0,0 72,248\" class=\"nofill\"></path>\n",
+       "        <line x1=\"72\" y1=\"248\" x2=\"88\" y2=\"248\" class=\"solid\"></line>\n",
+       "        <path d=\"M 92,244 A 4,4 0,0,1 88,248\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 136,216 A 4,4 0,0,0 132,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"220\" x2=\"132\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <line x1=\"136\" y1=\"216\" x2=\"152\" y2=\"216\" class=\"solid\"></line>\n",
+       "        <path d=\"M 152,216 A 4,4 0,0,1 156,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"220\" x2=\"156\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <line x1=\"92\" y1=\"232\" x2=\"132\" y2=\"232\" class=\"broken\"></line>\n",
+       "        <path d=\"M 132,244 A 4,4 0,0,0 136,248\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"248\" x2=\"152\" y2=\"248\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,244 A 4,4 0,0,1 152,248\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 200,216 A 4,4 0,0,0 196,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"220\" x2=\"196\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"216\" x2=\"216\" y2=\"216\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,216 A 4,4 0,0,1 220,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"220\" x2=\"220\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <line x1=\"156\" y1=\"232\" x2=\"196\" y2=\"232\" class=\"broken\"></line>\n",
+       "        <path d=\"M 196,244 A 4,4 0,0,0 200,248\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"248\" x2=\"216\" y2=\"248\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,244 A 4,4 0,0,1 216,248\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 72,264 A 4,4 0,0,0 68,268\" class=\"nofill\"></path>\n",
+       "        <line x1=\"68\" y1=\"268\" x2=\"68\" y2=\"292\" class=\"solid\"></line>\n",
+       "        <line x1=\"72\" y1=\"264\" x2=\"88\" y2=\"264\" class=\"solid\"></line>\n",
+       "        <path d=\"M 88,264 A 4,4 0,0,1 92,268\" class=\"nofill\"></path>\n",
+       "        <line x1=\"92\" y1=\"268\" x2=\"92\" y2=\"292\" class=\"solid\"></line>\n",
+       "        <line x1=\"48\" y1=\"280\" x2=\"68\" y2=\"280\" class=\"solid\"></line>\n",
+       "        <path d=\"M 68,292 A 4,4 0,0,0 72,296\" class=\"nofill\"></path>\n",
+       "        <line x1=\"72\" y1=\"296\" x2=\"88\" y2=\"296\" class=\"solid\"></line>\n",
+       "        <path d=\"M 92,292 A 4,4 0,0,1 88,296\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 136,264 A 4,4 0,0,0 132,268\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"268\" x2=\"132\" y2=\"292\" class=\"solid\"></line>\n",
+       "        <line x1=\"136\" y1=\"264\" x2=\"152\" y2=\"264\" class=\"solid\"></line>\n",
+       "        <path d=\"M 152,264 A 4,4 0,0,1 156,268\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"268\" x2=\"156\" y2=\"292\" class=\"solid\"></line>\n",
+       "        <line x1=\"92\" y1=\"280\" x2=\"132\" y2=\"280\" class=\"broken\"></line>\n",
+       "        <path d=\"M 132,292 A 4,4 0,0,0 136,296\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"296\" x2=\"152\" y2=\"296\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,292 A 4,4 0,0,1 152,296\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 200,264 A 4,4 0,0,0 196,268\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"268\" x2=\"196\" y2=\"292\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"264\" x2=\"216\" y2=\"264\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,264 A 4,4 0,0,1 220,268\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"268\" x2=\"220\" y2=\"292\" class=\"solid\"></line>\n",
+       "        <line x1=\"156\" y1=\"280\" x2=\"196\" y2=\"280\" class=\"broken\"></line>\n",
+       "        <path d=\"M 196,292 A 4,4 0,0,0 200,296\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"296\" x2=\"216\" y2=\"296\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,292 A 4,4 0,0,1 216,296\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 72,312 A 4,4 0,0,0 68,316\" class=\"nofill\"></path>\n",
+       "        <line x1=\"68\" y1=\"316\" x2=\"68\" y2=\"340\" class=\"solid\"></line>\n",
+       "        <line x1=\"72\" y1=\"312\" x2=\"88\" y2=\"312\" class=\"solid\"></line>\n",
+       "        <path d=\"M 88,312 A 4,4 0,0,1 92,316\" class=\"nofill\"></path>\n",
+       "        <line x1=\"92\" y1=\"316\" x2=\"92\" y2=\"340\" class=\"solid\"></line>\n",
+       "        <line x1=\"32\" y1=\"328\" x2=\"68\" y2=\"328\" class=\"solid\"></line>\n",
+       "        <line x1=\"44\" y1=\"328\" x2=\"44\" y2=\"420\" class=\"solid\"></line>\n",
+       "        <path d=\"M 68,340 A 4,4 0,0,0 72,344\" class=\"nofill\"></path>\n",
+       "        <line x1=\"72\" y1=\"344\" x2=\"88\" y2=\"344\" class=\"solid\"></line>\n",
+       "        <path d=\"M 92,340 A 4,4 0,0,1 88,344\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 44,420 A 4,4 0,0,0 48,424\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 136,312 A 4,4 0,0,0 132,316\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"316\" x2=\"132\" y2=\"340\" class=\"solid\"></line>\n",
+       "        <line x1=\"136\" y1=\"312\" x2=\"152\" y2=\"312\" class=\"solid\"></line>\n",
+       "        <path d=\"M 152,312 A 4,4 0,0,1 156,316\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"316\" x2=\"156\" y2=\"340\" class=\"solid\"></line>\n",
+       "        <line x1=\"92\" y1=\"328\" x2=\"132\" y2=\"328\" class=\"broken\"></line>\n",
+       "        <path d=\"M 132,340 A 4,4 0,0,0 136,344\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"344\" x2=\"152\" y2=\"344\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,340 A 4,4 0,0,1 152,344\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 200,312 A 4,4 0,0,0 196,316\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"316\" x2=\"196\" y2=\"340\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"312\" x2=\"216\" y2=\"312\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,312 A 4,4 0,0,1 220,316\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"316\" x2=\"220\" y2=\"340\" class=\"solid\"></line>\n",
+       "        <line x1=\"156\" y1=\"328\" x2=\"196\" y2=\"328\" class=\"broken\"></line>\n",
+       "        <path d=\"M 196,340 A 4,4 0,0,0 200,344\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"344\" x2=\"216\" y2=\"344\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,340 A 4,4 0,0,1 216,344\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 72,360 A 4,4 0,0,0 68,364\" class=\"nofill\"></path>\n",
+       "        <line x1=\"68\" y1=\"364\" x2=\"68\" y2=\"388\" class=\"solid\"></line>\n",
+       "        <line x1=\"72\" y1=\"360\" x2=\"88\" y2=\"360\" class=\"solid\"></line>\n",
+       "        <path d=\"M 88,360 A 4,4 0,0,1 92,364\" class=\"nofill\"></path>\n",
+       "        <line x1=\"92\" y1=\"364\" x2=\"92\" y2=\"388\" class=\"solid\"></line>\n",
+       "        <line x1=\"44\" y1=\"376\" x2=\"68\" y2=\"376\" class=\"solid\"></line>\n",
+       "        <path d=\"M 68,388 A 4,4 0,0,0 72,392\" class=\"nofill\"></path>\n",
+       "        <line x1=\"72\" y1=\"392\" x2=\"88\" y2=\"392\" class=\"solid\"></line>\n",
+       "        <path d=\"M 92,388 A 4,4 0,0,1 88,392\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 136,360 A 4,4 0,0,0 132,364\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"364\" x2=\"132\" y2=\"388\" class=\"solid\"></line>\n",
+       "        <line x1=\"136\" y1=\"360\" x2=\"152\" y2=\"360\" class=\"solid\"></line>\n",
+       "        <path d=\"M 152,360 A 4,4 0,0,1 156,364\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"364\" x2=\"156\" y2=\"388\" class=\"solid\"></line>\n",
+       "        <line x1=\"92\" y1=\"376\" x2=\"132\" y2=\"376\" class=\"broken\"></line>\n",
+       "        <path d=\"M 132,388 A 4,4 0,0,0 136,392\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"392\" x2=\"152\" y2=\"392\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,388 A 4,4 0,0,1 152,392\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 200,360 A 4,4 0,0,0 196,364\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"364\" x2=\"196\" y2=\"388\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"360\" x2=\"216\" y2=\"360\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,360 A 4,4 0,0,1 220,364\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"364\" x2=\"220\" y2=\"388\" class=\"solid\"></line>\n",
+       "        <line x1=\"156\" y1=\"376\" x2=\"196\" y2=\"376\" class=\"broken\"></line>\n",
+       "        <path d=\"M 196,388 A 4,4 0,0,0 200,392\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"392\" x2=\"216\" y2=\"392\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,388 A 4,4 0,0,1 216,392\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 72,408 A 4,4 0,0,0 68,412\" class=\"nofill\"></path>\n",
+       "        <line x1=\"68\" y1=\"412\" x2=\"68\" y2=\"436\" class=\"solid\"></line>\n",
+       "        <line x1=\"72\" y1=\"408\" x2=\"88\" y2=\"408\" class=\"solid\"></line>\n",
+       "        <path d=\"M 88,408 A 4,4 0,0,1 92,412\" class=\"nofill\"></path>\n",
+       "        <line x1=\"92\" y1=\"412\" x2=\"92\" y2=\"436\" class=\"solid\"></line>\n",
+       "        <line x1=\"48\" y1=\"424\" x2=\"68\" y2=\"424\" class=\"solid\"></line>\n",
+       "        <path d=\"M 68,436 A 4,4 0,0,0 72,440\" class=\"nofill\"></path>\n",
+       "        <line x1=\"72\" y1=\"440\" x2=\"88\" y2=\"440\" class=\"solid\"></line>\n",
+       "        <path d=\"M 92,436 A 4,4 0,0,1 88,440\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 136,408 A 4,4 0,0,0 132,412\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"412\" x2=\"132\" y2=\"436\" class=\"solid\"></line>\n",
+       "        <line x1=\"136\" y1=\"408\" x2=\"152\" y2=\"408\" class=\"solid\"></line>\n",
+       "        <path d=\"M 152,408 A 4,4 0,0,1 156,412\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"412\" x2=\"156\" y2=\"436\" class=\"solid\"></line>\n",
+       "        <line x1=\"92\" y1=\"424\" x2=\"132\" y2=\"424\" class=\"broken\"></line>\n",
+       "        <path d=\"M 132,436 A 4,4 0,0,0 136,440\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"440\" x2=\"152\" y2=\"440\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,436 A 4,4 0,0,1 152,440\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 200,408 A 4,4 0,0,0 196,412\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"412\" x2=\"196\" y2=\"436\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"408\" x2=\"216\" y2=\"408\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,408 A 4,4 0,0,1 220,412\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"412\" x2=\"220\" y2=\"436\" class=\"solid\"></line>\n",
+       "        <line x1=\"156\" y1=\"424\" x2=\"196\" y2=\"424\" class=\"broken\"></line>\n",
+       "        <path d=\"M 196,436 A 4,4 0,0,0 200,440\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"440\" x2=\"216\" y2=\"440\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,436 A 4,4 0,0,1 216,440\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "</svg>"
+      ],
+      "text/plain": [
+       ".~~~.   .---.   .---.   .---.\n",
+       "┊i0 ┊p0 |i1 |p1 |i2 |p2 |i3 |\n",
+       "`~~~'   `---'   `---'   `---'\n",
+       "=============================\n",
+       ".~~.  0 .--.  0 .--.  0 .--.\n",
+       "┊0 ┊-+--|0 |~~~~|0 |~~~~|1 |\n",
+       "`~~' |  `--'  1 `--'  1 `--'\n",
+       "     |  .--.    .--.    .--.\n",
+       "     |--|0 |~~~~|0 |~~~~|2 |\n",
+       "     |  `--'  2 `--'  2 `--'\n",
+       "     |  .--.    .--.    .--.\n",
+       "     |--|1 |~~~~|0 |~~~~|0 |\n",
+       "     |  `--'  3 `--'  3 `--'\n",
+       "     |  .--.    .--.    .--.\n",
+       "     |--|1 |~~~~|0 |~~~~|2 |\n",
+       "     |  `--'  4 `--'  4 `--'\n",
+       "     |  .--.    .--.    .--.\n",
+       "     `--|1 |~~~~|1 |~~~~|0 |\n",
+       "      5 `--'  5 `--'  5 `--'\n",
+       ".~~.    .--.    .--.    .--.\n",
+       "┊1 ┊-+--|1 |~~~~|1 |~~~~|0 |\n",
+       "`~~' |  `--'  6 `--'  6 `--'\n",
+       "     |  .--.    .--.    .--.\n",
+       "     |--|1 |~~~~|1 |~~~~|1 |\n",
+       "     |  `--'  7 `--'  7 `--'\n",
+       "     |  .--.    .--.    .--.\n",
+       "     `--|1 |~~~~|1 |~~~~|2 |\n",
+       "      8 `--'  8 `--'  8 `--'"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "text/markdown": [
+       "# C-S-C-S"
+      ],
+      "text/plain": [
+       "<IPython.core.display.Markdown object>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "image/svg+xml": [
+       "<svg xmlns=\"http://www.w3.org/2000/svg\" width=\"240\" height=\"400\">\n",
+       "    <style>line, path, circle,rect,polygon {\n",
+       "                          stroke: black;\n",
+       "                          stroke-width: 2;\n",
+       "                          stroke-opacity: 1;\n",
+       "                          fill-opacity: 1;\n",
+       "                          stroke-linecap: round;\n",
+       "                          stroke-linejoin: miter;\n",
+       "                        }\n",
+       "\n",
+       "                    text {\n",
+       "                        /* This fix the spacing bug in svg text*/\n",
+       "                        white-space: pre;\n",
+       "                        fill: black;\n",
+       "                        }\n",
+       "                        rect.backdrop{\n",
+       "                            stroke: none;\n",
+       "                            fill: white;\n",
+       "                        }\n",
+       "                        .broken{\n",
+       "                            stroke-dasharray: 8;\n",
+       "                        }\n",
+       "                        .filled{\n",
+       "                            fill: black;\n",
+       "                        }\n",
+       "                        .bg_filled{\n",
+       "                            fill: white;\n",
+       "                        }\n",
+       "                        .nofill{\n",
+       "                            fill: white;\n",
+       "                        }\n",
+       "\n",
+       "                        text {\n",
+       "                         font-family: monospace;\n",
+       "                         font-size: 14px;\n",
+       "                        }\n",
+       "\n",
+       "                        .end_marked_arrow{\n",
+       "                            marker-end: url(#arrow);\n",
+       "                         }\n",
+       "                        .start_marked_arrow{\n",
+       "                            marker-start: url(#arrow);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_diamond{\n",
+       "                            marker-end: url(#diamond);\n",
+       "                         }\n",
+       "                        .start_marked_diamond{\n",
+       "                            marker-start: url(#diamond);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_circle{\n",
+       "                            marker-end: url(#circle);\n",
+       "                         }\n",
+       "                        .start_marked_circle{\n",
+       "                            marker-start: url(#circle);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_open_circle{\n",
+       "                            marker-end: url(#open_circle);\n",
+       "                         }\n",
+       "                        .start_marked_open_circle{\n",
+       "                            marker-start: url(#open_circle);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_big_open_circle{\n",
+       "                            marker-end: url(#big_open_circle);\n",
+       "                         }\n",
+       "                        .start_marked_big_open_circle{\n",
+       "                            marker-start: url(#big_open_circle);\n",
+       "                         }\n",
+       "\n",
+       "                         \n",
+       "                        </style>\n",
+       "    <defs>\n",
+       "        <marker id=\"arrow\" viewBox=\"-2 -2 8 8\" refX=\"4\" refY=\"2\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <polygon points=\"0,0 0,4 4,2 0,0\"></polygon>\n",
+       "        </marker>\n",
+       "        <marker id=\"diamond\" viewBox=\"-2 -2 8 8\" refX=\"4\" refY=\"2\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <polygon points=\"0,2 2,0 4,2 2,4 0,2\"></polygon>\n",
+       "        </marker>\n",
+       "        <marker id=\"circle\" viewBox=\"0 0 8 8\" refX=\"4\" refY=\"4\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <circle cx=\"4\" cy=\"4\" r=\"2\" class=\"filled\"></circle>\n",
+       "        </marker>\n",
+       "        <marker id=\"open_circle\" viewBox=\"0 0 8 8\" refX=\"4\" refY=\"4\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <circle cx=\"4\" cy=\"4\" r=\"2\" class=\"bg_filled\"></circle>\n",
+       "        </marker>\n",
+       "        <marker id=\"big_open_circle\" viewBox=\"0 0 8 8\" refX=\"4\" refY=\"4\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <circle cx=\"4\" cy=\"4\" r=\"3\" class=\"bg_filled\"></circle>\n",
+       "        </marker>\n",
+       "    </defs>\n",
+       "    <rect x=\"4\" y=\"8\" width=\"32\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"10\" y=\"28\" >i0</text>\n",
+       "    <rect x=\"68\" y=\"8\" width=\"32\" height=\"32\" class=\"solid nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"74\" y=\"28\" >i1</text>\n",
+       "    <rect x=\"132\" y=\"8\" width=\"32\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"138\" y=\"28\" >i2</text>\n",
+       "    <rect x=\"196\" y=\"8\" width=\"32\" height=\"32\" class=\"solid nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"202\" y=\"28\" >i3</text>\n",
+       "    <rect x=\"4\" y=\"72\" width=\"24\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"10\" y=\"92\" >0</text>\n",
+       "    <rect x=\"132\" y=\"72\" width=\"24\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"138\" y=\"92\" >0</text>\n",
+       "    <rect x=\"132\" y=\"168\" width=\"24\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"138\" y=\"188\" >0</text>\n",
+       "    <rect x=\"132\" y=\"216\" width=\"24\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"138\" y=\"236\" >1</text>\n",
+       "    <rect x=\"4\" y=\"264\" width=\"24\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"10\" y=\"284\" >1</text>\n",
+       "    <rect x=\"132\" y=\"312\" width=\"24\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"138\" y=\"332\" >1</text>\n",
+       "    <text x=\"42\" y=\"28\" >p0</text>\n",
+       "    <text x=\"106\" y=\"28\" >p1</text>\n",
+       "    <text x=\"170\" y=\"28\" >p2</text>\n",
+       "    <line x1=\"0\" y1=\"54\" x2=\"232\" y2=\"54\" class=\"solid\"></line>\n",
+       "    <line x1=\"0\" y1=\"58\" x2=\"232\" y2=\"58\" class=\"solid\"></line>\n",
+       "    <text x=\"50\" y=\"76\" >0</text>\n",
+       "    <text x=\"114\" y=\"76\" >0</text>\n",
+       "    <text x=\"178\" y=\"76\" >0</text>\n",
+       "    <text x=\"74\" y=\"92\" >0</text>\n",
+       "    <text x=\"202\" y=\"92\" >1</text>\n",
+       "    <text x=\"114\" y=\"108\" >1</text>\n",
+       "    <text x=\"202\" y=\"108\" >2</text>\n",
+       "    <text x=\"178\" y=\"124\" >2</text>\n",
+       "    <text x=\"74\" y=\"140\" >0</text>\n",
+       "    <text x=\"138\" y=\"140\" >1</text>\n",
+       "    <text x=\"114\" y=\"156\" >2</text>\n",
+       "    <text x=\"178\" y=\"172\" >2</text>\n",
+       "    <text x=\"74\" y=\"188\" >1</text>\n",
+       "    <text x=\"202\" y=\"188\" >0</text>\n",
+       "    <text x=\"114\" y=\"204\" >3</text>\n",
+       "    <text x=\"202\" y=\"204\" >2</text>\n",
+       "    <text x=\"178\" y=\"220\" >4</text>\n",
+       "    <text x=\"74\" y=\"236\" >1</text>\n",
+       "    <text x=\"202\" y=\"236\" >0</text>\n",
+       "    <text x=\"50\" y=\"252\" >4</text>\n",
+       "    <text x=\"114\" y=\"252\" >4</text>\n",
+       "    <text x=\"178\" y=\"252\" >5</text>\n",
+       "    <text x=\"74\" y=\"284\" >1</text>\n",
+       "    <text x=\"138\" y=\"284\" >0</text>\n",
+       "    <text x=\"114\" y=\"300\" >5</text>\n",
+       "    <text x=\"178\" y=\"316\" >5</text>\n",
+       "    <text x=\"74\" y=\"332\" >1</text>\n",
+       "    <text x=\"202\" y=\"332\" >0</text>\n",
+       "    <text x=\"50\" y=\"348\" >6</text>\n",
+       "    <text x=\"114\" y=\"348\" >6</text>\n",
+       "    <text x=\"202\" y=\"348\" >1</text>\n",
+       "    <text x=\"202\" y=\"364\" >2</text>\n",
+       "    <text x=\"178\" y=\"380\" >8</text>\n",
+       "    <g>\n",
+       "        <path d=\"M 72,72 A 4,4 0,0,0 68,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"68\" y1=\"76\" x2=\"68\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"72\" y1=\"72\" x2=\"88\" y2=\"72\" class=\"solid\"></line>\n",
+       "        <path d=\"M 88,72 A 4,4 0,0,1 92,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"92\" y1=\"76\" x2=\"92\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"32\" y1=\"88\" x2=\"68\" y2=\"88\" class=\"solid\"></line>\n",
+       "        <line x1=\"44\" y1=\"88\" x2=\"44\" y2=\"228\" class=\"solid\"></line>\n",
+       "        <line x1=\"92\" y1=\"88\" x2=\"128\" y2=\"88\" class=\"broken\"></line>\n",
+       "        <path d=\"M 68,100 A 4,4 0,0,0 72,104\" class=\"nofill\"></path>\n",
+       "        <line x1=\"72\" y1=\"104\" x2=\"88\" y2=\"104\" class=\"solid\"></line>\n",
+       "        <path d=\"M 92,100 A 4,4 0,0,1 88,104\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 44,228 A 4,4 0,0,0 48,232\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 72,120 A 4,4 0,0,0 68,124\" class=\"nofill\"></path>\n",
+       "        <line x1=\"68\" y1=\"124\" x2=\"68\" y2=\"148\" class=\"solid\"></line>\n",
+       "        <line x1=\"72\" y1=\"120\" x2=\"88\" y2=\"120\" class=\"solid\"></line>\n",
+       "        <path d=\"M 88,120 A 4,4 0,0,1 92,124\" class=\"nofill\"></path>\n",
+       "        <line x1=\"92\" y1=\"124\" x2=\"92\" y2=\"148\" class=\"solid\"></line>\n",
+       "        <line x1=\"44\" y1=\"136\" x2=\"68\" y2=\"136\" class=\"solid\"></line>\n",
+       "        <line x1=\"92\" y1=\"136\" x2=\"128\" y2=\"136\" class=\"broken\"></line>\n",
+       "        <path d=\"M 68,148 A 4,4 0,0,0 72,152\" class=\"nofill\"></path>\n",
+       "        <line x1=\"72\" y1=\"152\" x2=\"88\" y2=\"152\" class=\"solid\"></line>\n",
+       "        <path d=\"M 92,148 A 4,4 0,0,1 88,152\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 72,168 A 4,4 0,0,0 68,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"68\" y1=\"172\" x2=\"68\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <line x1=\"72\" y1=\"168\" x2=\"88\" y2=\"168\" class=\"solid\"></line>\n",
+       "        <path d=\"M 88,168 A 4,4 0,0,1 92,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"92\" y1=\"172\" x2=\"92\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <line x1=\"44\" y1=\"184\" x2=\"68\" y2=\"184\" class=\"solid\"></line>\n",
+       "        <line x1=\"92\" y1=\"184\" x2=\"128\" y2=\"184\" class=\"broken\"></line>\n",
+       "        <path d=\"M 68,196 A 4,4 0,0,0 72,200\" class=\"nofill\"></path>\n",
+       "        <line x1=\"72\" y1=\"200\" x2=\"88\" y2=\"200\" class=\"solid\"></line>\n",
+       "        <path d=\"M 92,196 A 4,4 0,0,1 88,200\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 72,216 A 4,4 0,0,0 68,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"68\" y1=\"220\" x2=\"68\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <line x1=\"72\" y1=\"216\" x2=\"88\" y2=\"216\" class=\"solid\"></line>\n",
+       "        <path d=\"M 88,216 A 4,4 0,0,1 92,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"92\" y1=\"220\" x2=\"92\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <line x1=\"48\" y1=\"232\" x2=\"68\" y2=\"232\" class=\"solid\"></line>\n",
+       "        <line x1=\"92\" y1=\"232\" x2=\"128\" y2=\"232\" class=\"broken\"></line>\n",
+       "        <path d=\"M 68,244 A 4,4 0,0,0 72,248\" class=\"nofill\"></path>\n",
+       "        <line x1=\"72\" y1=\"248\" x2=\"88\" y2=\"248\" class=\"solid\"></line>\n",
+       "        <path d=\"M 92,244 A 4,4 0,0,1 88,248\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 200,72 A 4,4 0,0,0 196,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"76\" x2=\"196\" y2=\"116\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"72\" x2=\"216\" y2=\"72\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,72 A 4,4 0,0,1 220,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"76\" x2=\"220\" y2=\"116\" class=\"solid\"></line>\n",
+       "        <line x1=\"160\" y1=\"88\" x2=\"196\" y2=\"88\" class=\"solid\"></line>\n",
+       "        <line x1=\"172\" y1=\"88\" x2=\"172\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <path d=\"M 172,100 A 4,4 0,0,0 176,104\" class=\"nofill\"></path>\n",
+       "        <line x1=\"176\" y1=\"104\" x2=\"196\" y2=\"104\" class=\"solid\"></line>\n",
+       "        <path d=\"M 196,116 A 4,4 0,0,0 200,120\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"120\" x2=\"216\" y2=\"120\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,116 A 4,4 0,0,1 216,120\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 136,120 A 4,4 0,0,0 132,124\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"124\" x2=\"132\" y2=\"148\" class=\"broken\"></line>\n",
+       "        <line x1=\"136\" y1=\"120\" x2=\"152\" y2=\"120\" class=\"broken\"></line>\n",
+       "        <path d=\"M 152,120 A 4,4 0,0,1 156,124\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 152,120 A 8,8 0,0,1 158,124\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"124\" x2=\"156\" y2=\"148\" class=\"broken\"></line>\n",
+       "        <line x1=\"158\" y1=\"124\" x2=\"160\" y2=\"128\" class=\"solid\"></line>\n",
+       "        <path d=\"M 160,128 A 16,16 0,0,1 160,144\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 132,148 A 4,4 0,0,0 136,152\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"152\" x2=\"152\" y2=\"152\" class=\"broken\"></line>\n",
+       "        <line x1=\"160\" y1=\"144\" x2=\"158\" y2=\"148\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,148 A 4,4 0,0,1 152,152\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 158,148 A 8,8 0,0,1 152,152\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 200,168 A 4,4 0,0,0 196,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"172\" x2=\"196\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"168\" x2=\"216\" y2=\"168\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,168 A 4,4 0,0,1 220,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"172\" x2=\"220\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <line x1=\"160\" y1=\"184\" x2=\"196\" y2=\"184\" class=\"solid\"></line>\n",
+       "        <line x1=\"172\" y1=\"184\" x2=\"172\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <path d=\"M 172,196 A 4,4 0,0,0 176,200\" class=\"nofill\"></path>\n",
+       "        <line x1=\"176\" y1=\"200\" x2=\"196\" y2=\"200\" class=\"solid\"></line>\n",
+       "        <line x1=\"196\" y1=\"216\" x2=\"220\" y2=\"216\" class=\"solid\"></line>\n",
+       "        <line x1=\"160\" y1=\"232\" x2=\"196\" y2=\"232\" class=\"solid\"></line>\n",
+       "        <path d=\"M 196,244 A 4,4 0,0,0 200,248\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"248\" x2=\"216\" y2=\"248\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,244 A 4,4 0,0,1 216,248\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 72,264 A 4,4 0,0,0 68,268\" class=\"nofill\"></path>\n",
+       "        <line x1=\"68\" y1=\"268\" x2=\"68\" y2=\"292\" class=\"solid\"></line>\n",
+       "        <line x1=\"72\" y1=\"264\" x2=\"88\" y2=\"264\" class=\"solid\"></line>\n",
+       "        <path d=\"M 88,264 A 4,4 0,0,1 92,268\" class=\"nofill\"></path>\n",
+       "        <line x1=\"92\" y1=\"268\" x2=\"92\" y2=\"292\" class=\"solid\"></line>\n",
+       "        <line x1=\"32\" y1=\"280\" x2=\"68\" y2=\"280\" class=\"solid\"></line>\n",
+       "        <line x1=\"44\" y1=\"280\" x2=\"44\" y2=\"324\" class=\"solid\"></line>\n",
+       "        <line x1=\"92\" y1=\"280\" x2=\"128\" y2=\"280\" class=\"broken\"></line>\n",
+       "        <path d=\"M 68,292 A 4,4 0,0,0 72,296\" class=\"nofill\"></path>\n",
+       "        <line x1=\"72\" y1=\"296\" x2=\"88\" y2=\"296\" class=\"solid\"></line>\n",
+       "        <path d=\"M 92,292 A 4,4 0,0,1 88,296\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 44,324 A 4,4 0,0,0 48,328\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 72,312 A 4,4 0,0,0 68,316\" class=\"nofill\"></path>\n",
+       "        <line x1=\"68\" y1=\"316\" x2=\"68\" y2=\"340\" class=\"solid\"></line>\n",
+       "        <line x1=\"72\" y1=\"312\" x2=\"88\" y2=\"312\" class=\"solid\"></line>\n",
+       "        <path d=\"M 88,312 A 4,4 0,0,1 92,316\" class=\"nofill\"></path>\n",
+       "        <line x1=\"92\" y1=\"316\" x2=\"92\" y2=\"340\" class=\"solid\"></line>\n",
+       "        <line x1=\"48\" y1=\"328\" x2=\"68\" y2=\"328\" class=\"solid\"></line>\n",
+       "        <line x1=\"92\" y1=\"328\" x2=\"128\" y2=\"328\" class=\"broken\"></line>\n",
+       "        <path d=\"M 68,340 A 4,4 0,0,0 72,344\" class=\"nofill\"></path>\n",
+       "        <line x1=\"72\" y1=\"344\" x2=\"88\" y2=\"344\" class=\"solid\"></line>\n",
+       "        <path d=\"M 92,340 A 4,4 0,0,1 88,344\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 136,264 A 4,4 0,0,0 132,268\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"268\" x2=\"132\" y2=\"292\" class=\"broken\"></line>\n",
+       "        <line x1=\"136\" y1=\"264\" x2=\"152\" y2=\"264\" class=\"broken\"></line>\n",
+       "        <path d=\"M 152,264 A 4,4 0,0,1 156,268\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 152,264 A 8,8 0,0,1 158,268\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"268\" x2=\"156\" y2=\"292\" class=\"broken\"></line>\n",
+       "        <line x1=\"158\" y1=\"268\" x2=\"160\" y2=\"272\" class=\"solid\"></line>\n",
+       "        <path d=\"M 160,272 A 16,16 0,0,1 160,288\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 132,292 A 4,4 0,0,0 136,296\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"296\" x2=\"152\" y2=\"296\" class=\"broken\"></line>\n",
+       "        <line x1=\"160\" y1=\"288\" x2=\"158\" y2=\"292\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,292 A 4,4 0,0,1 152,296\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 158,292 A 8,8 0,0,1 152,296\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 200,312 A 4,4 0,0,0 196,316\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"316\" x2=\"196\" y2=\"372\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"312\" x2=\"216\" y2=\"312\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,312 A 4,4 0,0,1 220,316\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"316\" x2=\"220\" y2=\"372\" class=\"solid\"></line>\n",
+       "        <line x1=\"160\" y1=\"328\" x2=\"196\" y2=\"328\" class=\"solid\"></line>\n",
+       "        <line x1=\"172\" y1=\"328\" x2=\"172\" y2=\"356\" class=\"solid\"></line>\n",
+       "        <line x1=\"172\" y1=\"344\" x2=\"196\" y2=\"344\" class=\"solid\"></line>\n",
+       "        <path d=\"M 172,356 A 4,4 0,0,0 176,360\" class=\"nofill\"></path>\n",
+       "        <line x1=\"176\" y1=\"360\" x2=\"196\" y2=\"360\" class=\"solid\"></line>\n",
+       "        <path d=\"M 196,372 A 4,4 0,0,0 200,376\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"376\" x2=\"216\" y2=\"376\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,372 A 4,4 0,0,1 216,376\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "</svg>"
+      ],
+      "text/plain": [
+       ".~~~.   .---.   .~~~.   .---.\n",
+       "┊i0 ┊p0 |i1 |p1 ┊i2 ┊p2 |i3 |\n",
+       "`~~~'   `---'   `~~~'   `---'\n",
+       "=============================\n",
+       ".~~.  0 .--.  0 .~~.  0 .--.\n",
+       "┊0 ┊-+--|0 |~~~~┊0 ┊-+--|1 |\n",
+       "`~~' |  `--'  1 `~~' `--|2 |\n",
+       "     |  .--.    .~~.  2 `--'\n",
+       "     |--|0 |~~~~┊1 ┊)\n",
+       "     |  `--'  2 `~~'\n",
+       "     |  .--.    .~~.  2 .--.\n",
+       "     |--|1 |~~~~┊0 ┊-+--|0 |\n",
+       "     |  `--'  3 `~~' `--|2 |\n",
+       "     |  .--.    .~~.  4 |--|\n",
+       "     `--|1 |~~~~┊1 ┊----|0 |\n",
+       "      4 `--'  4 `~~'  5 `--'\n",
+       ".~~.    .--.    .~~.\n",
+       "┊1 ┊-+--|1 |~~~~┊0 ┊)\n",
+       "`~~' |  `--'  5 `~~'\n",
+       "     |  .--.    .~~.  5 .--.\n",
+       "     `--|1 |~~~~┊1 ┊-+--|0 |\n",
+       "      6 `--'  6 `~~' |--|1 |\n",
+       "                     `--|2 |\n",
+       "                      8 `--'"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "text/markdown": [
+       "# C-S-DC-S"
+      ],
+      "text/plain": [
+       "<IPython.core.display.Markdown object>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "image/svg+xml": [
+       "<svg xmlns=\"http://www.w3.org/2000/svg\" width=\"240\" height=\"304\">\n",
+       "    <style>line, path, circle,rect,polygon {\n",
+       "                          stroke: black;\n",
+       "                          stroke-width: 2;\n",
+       "                          stroke-opacity: 1;\n",
+       "                          fill-opacity: 1;\n",
+       "                          stroke-linecap: round;\n",
+       "                          stroke-linejoin: miter;\n",
+       "                        }\n",
+       "\n",
+       "                    text {\n",
+       "                        /* This fix the spacing bug in svg text*/\n",
+       "                        white-space: pre;\n",
+       "                        fill: black;\n",
+       "                        }\n",
+       "                        rect.backdrop{\n",
+       "                            stroke: none;\n",
+       "                            fill: white;\n",
+       "                        }\n",
+       "                        .broken{\n",
+       "                            stroke-dasharray: 8;\n",
+       "                        }\n",
+       "                        .filled{\n",
+       "                            fill: black;\n",
+       "                        }\n",
+       "                        .bg_filled{\n",
+       "                            fill: white;\n",
+       "                        }\n",
+       "                        .nofill{\n",
+       "                            fill: white;\n",
+       "                        }\n",
+       "\n",
+       "                        text {\n",
+       "                         font-family: monospace;\n",
+       "                         font-size: 14px;\n",
+       "                        }\n",
+       "\n",
+       "                        .end_marked_arrow{\n",
+       "                            marker-end: url(#arrow);\n",
+       "                         }\n",
+       "                        .start_marked_arrow{\n",
+       "                            marker-start: url(#arrow);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_diamond{\n",
+       "                            marker-end: url(#diamond);\n",
+       "                         }\n",
+       "                        .start_marked_diamond{\n",
+       "                            marker-start: url(#diamond);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_circle{\n",
+       "                            marker-end: url(#circle);\n",
+       "                         }\n",
+       "                        .start_marked_circle{\n",
+       "                            marker-start: url(#circle);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_open_circle{\n",
+       "                            marker-end: url(#open_circle);\n",
+       "                         }\n",
+       "                        .start_marked_open_circle{\n",
+       "                            marker-start: url(#open_circle);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_big_open_circle{\n",
+       "                            marker-end: url(#big_open_circle);\n",
+       "                         }\n",
+       "                        .start_marked_big_open_circle{\n",
+       "                            marker-start: url(#big_open_circle);\n",
+       "                         }\n",
+       "\n",
+       "                         \n",
+       "                        </style>\n",
+       "    <defs>\n",
+       "        <marker id=\"arrow\" viewBox=\"-2 -2 8 8\" refX=\"4\" refY=\"2\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <polygon points=\"0,0 0,4 4,2 0,0\"></polygon>\n",
+       "        </marker>\n",
+       "        <marker id=\"diamond\" viewBox=\"-2 -2 8 8\" refX=\"4\" refY=\"2\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <polygon points=\"0,2 2,0 4,2 2,4 0,2\"></polygon>\n",
+       "        </marker>\n",
+       "        <marker id=\"circle\" viewBox=\"0 0 8 8\" refX=\"4\" refY=\"4\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <circle cx=\"4\" cy=\"4\" r=\"2\" class=\"filled\"></circle>\n",
+       "        </marker>\n",
+       "        <marker id=\"open_circle\" viewBox=\"0 0 8 8\" refX=\"4\" refY=\"4\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <circle cx=\"4\" cy=\"4\" r=\"2\" class=\"bg_filled\"></circle>\n",
+       "        </marker>\n",
+       "        <marker id=\"big_open_circle\" viewBox=\"0 0 8 8\" refX=\"4\" refY=\"4\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <circle cx=\"4\" cy=\"4\" r=\"3\" class=\"bg_filled\"></circle>\n",
+       "        </marker>\n",
+       "    </defs>\n",
+       "    <rect x=\"4\" y=\"8\" width=\"32\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"10\" y=\"28\" >i0</text>\n",
+       "    <rect x=\"68\" y=\"8\" width=\"32\" height=\"32\" class=\"solid nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"74\" y=\"28\" >i1</text>\n",
+       "    <rect x=\"132\" y=\"8\" width=\"32\" height=\"32\" class=\"solid nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"138\" y=\"28\" >i2</text>\n",
+       "    <rect x=\"196\" y=\"8\" width=\"32\" height=\"32\" class=\"solid nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"202\" y=\"28\" >i3</text>\n",
+       "    <rect x=\"4\" y=\"72\" width=\"24\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"10\" y=\"92\" >0</text>\n",
+       "    <rect x=\"4\" y=\"216\" width=\"24\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"10\" y=\"236\" >1</text>\n",
+       "    <text x=\"42\" y=\"28\" >p0</text>\n",
+       "    <text x=\"106\" y=\"28\" >p1</text>\n",
+       "    <text x=\"170\" y=\"28\" >p2</text>\n",
+       "    <line x1=\"0\" y1=\"54\" x2=\"232\" y2=\"54\" class=\"solid\"></line>\n",
+       "    <line x1=\"0\" y1=\"58\" x2=\"232\" y2=\"58\" class=\"solid\"></line>\n",
+       "    <text x=\"50\" y=\"76\" >0</text>\n",
+       "    <text x=\"114\" y=\"76\" >0</text>\n",
+       "    <text x=\"178\" y=\"76\" >0</text>\n",
+       "    <text x=\"74\" y=\"92\" >0</text>\n",
+       "    <text x=\"138\" y=\"92\" >0</text>\n",
+       "    <text x=\"202\" y=\"92\" >1</text>\n",
+       "    <text x=\"114\" y=\"108\" >1</text>\n",
+       "    <text x=\"202\" y=\"108\" >2</text>\n",
+       "    <text x=\"178\" y=\"124\" >2</text>\n",
+       "    <text x=\"74\" y=\"140\" >1</text>\n",
+       "    <text x=\"138\" y=\"140\" >0</text>\n",
+       "    <text x=\"202\" y=\"140\" >0</text>\n",
+       "    <text x=\"114\" y=\"156\" >2</text>\n",
+       "    <text x=\"202\" y=\"156\" >2</text>\n",
+       "    <text x=\"178\" y=\"172\" >4</text>\n",
+       "    <text x=\"74\" y=\"188\" >1</text>\n",
+       "    <text x=\"138\" y=\"188\" >1</text>\n",
+       "    <text x=\"202\" y=\"188\" >0</text>\n",
+       "    <text x=\"50\" y=\"204\" >3</text>\n",
+       "    <text x=\"114\" y=\"204\" >3</text>\n",
+       "    <text x=\"178\" y=\"204\" >5</text>\n",
+       "    <text x=\"74\" y=\"236\" >1</text>\n",
+       "    <text x=\"138\" y=\"236\" >1</text>\n",
+       "    <text x=\"202\" y=\"236\" >0</text>\n",
+       "    <text x=\"50\" y=\"252\" >4</text>\n",
+       "    <text x=\"114\" y=\"252\" >4</text>\n",
+       "    <text x=\"202\" y=\"252\" >1</text>\n",
+       "    <text x=\"202\" y=\"268\" >2</text>\n",
+       "    <text x=\"178\" y=\"284\" >8</text>\n",
+       "    <g>\n",
+       "        <path d=\"M 72,72 A 4,4 0,0,0 68,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"68\" y1=\"76\" x2=\"68\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"72\" y1=\"72\" x2=\"88\" y2=\"72\" class=\"solid\"></line>\n",
+       "        <path d=\"M 88,72 A 4,4 0,0,1 92,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"92\" y1=\"76\" x2=\"92\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"32\" y1=\"88\" x2=\"68\" y2=\"88\" class=\"solid\"></line>\n",
+       "        <line x1=\"44\" y1=\"88\" x2=\"44\" y2=\"180\" class=\"solid\"></line>\n",
+       "        <path d=\"M 68,100 A 4,4 0,0,0 72,104\" class=\"nofill\"></path>\n",
+       "        <line x1=\"72\" y1=\"104\" x2=\"88\" y2=\"104\" class=\"solid\"></line>\n",
+       "        <path d=\"M 92,100 A 4,4 0,0,1 88,104\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 44,180 A 4,4 0,0,0 48,184\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 136,72 A 4,4 0,0,0 132,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"76\" x2=\"132\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"136\" y1=\"72\" x2=\"152\" y2=\"72\" class=\"solid\"></line>\n",
+       "        <path d=\"M 152,72 A 4,4 0,0,1 156,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"76\" x2=\"156\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"92\" y1=\"88\" x2=\"132\" y2=\"88\" class=\"broken\"></line>\n",
+       "        <path d=\"M 132,100 A 4,4 0,0,0 136,104\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"104\" x2=\"152\" y2=\"104\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,100 A 4,4 0,0,1 152,104\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 200,72 A 4,4 0,0,0 196,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"76\" x2=\"196\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"72\" x2=\"216\" y2=\"72\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,72 A 4,4 0,0,1 220,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"76\" x2=\"220\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <line x1=\"156\" y1=\"88\" x2=\"196\" y2=\"88\" class=\"solid\"></line>\n",
+       "        <line x1=\"172\" y1=\"88\" x2=\"172\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <path d=\"M 172,100 A 4,4 0,0,0 176,104\" class=\"nofill\"></path>\n",
+       "        <line x1=\"176\" y1=\"104\" x2=\"196\" y2=\"104\" class=\"solid\"></line>\n",
+       "        <line x1=\"196\" y1=\"120\" x2=\"220\" y2=\"120\" class=\"solid\"></line>\n",
+       "        <line x1=\"196\" y1=\"168\" x2=\"220\" y2=\"168\" class=\"solid\"></line>\n",
+       "        <path d=\"M 196,196 A 4,4 0,0,0 200,200\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"200\" x2=\"216\" y2=\"200\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,196 A 4,4 0,0,1 216,200\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 72,120 A 4,4 0,0,0 68,124\" class=\"nofill\"></path>\n",
+       "        <line x1=\"68\" y1=\"124\" x2=\"68\" y2=\"148\" class=\"solid\"></line>\n",
+       "        <line x1=\"72\" y1=\"120\" x2=\"88\" y2=\"120\" class=\"solid\"></line>\n",
+       "        <path d=\"M 88,120 A 4,4 0,0,1 92,124\" class=\"nofill\"></path>\n",
+       "        <line x1=\"92\" y1=\"124\" x2=\"92\" y2=\"148\" class=\"solid\"></line>\n",
+       "        <line x1=\"44\" y1=\"136\" x2=\"68\" y2=\"136\" class=\"solid\"></line>\n",
+       "        <path d=\"M 68,148 A 4,4 0,0,0 72,152\" class=\"nofill\"></path>\n",
+       "        <line x1=\"72\" y1=\"152\" x2=\"88\" y2=\"152\" class=\"solid\"></line>\n",
+       "        <path d=\"M 92,148 A 4,4 0,0,1 88,152\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 136,120 A 4,4 0,0,0 132,124\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"124\" x2=\"132\" y2=\"148\" class=\"solid\"></line>\n",
+       "        <line x1=\"136\" y1=\"120\" x2=\"152\" y2=\"120\" class=\"solid\"></line>\n",
+       "        <path d=\"M 152,120 A 4,4 0,0,1 156,124\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"124\" x2=\"156\" y2=\"148\" class=\"solid\"></line>\n",
+       "        <line x1=\"92\" y1=\"136\" x2=\"132\" y2=\"136\" class=\"broken\"></line>\n",
+       "        <line x1=\"156\" y1=\"136\" x2=\"196\" y2=\"136\" class=\"solid\"></line>\n",
+       "        <line x1=\"172\" y1=\"136\" x2=\"172\" y2=\"148\" class=\"solid\"></line>\n",
+       "        <path d=\"M 132,148 A 4,4 0,0,0 136,152\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"152\" x2=\"152\" y2=\"152\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,148 A 4,4 0,0,1 152,152\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 172,148 A 4,4 0,0,0 176,152\" class=\"nofill\"></path>\n",
+       "        <line x1=\"176\" y1=\"152\" x2=\"196\" y2=\"152\" class=\"solid\"></line>\n",
+       "        <path d=\"M 72,168 A 4,4 0,0,0 68,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"68\" y1=\"172\" x2=\"68\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <line x1=\"72\" y1=\"168\" x2=\"88\" y2=\"168\" class=\"solid\"></line>\n",
+       "        <path d=\"M 88,168 A 4,4 0,0,1 92,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"92\" y1=\"172\" x2=\"92\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <line x1=\"48\" y1=\"184\" x2=\"68\" y2=\"184\" class=\"solid\"></line>\n",
+       "        <path d=\"M 68,196 A 4,4 0,0,0 72,200\" class=\"nofill\"></path>\n",
+       "        <line x1=\"72\" y1=\"200\" x2=\"88\" y2=\"200\" class=\"solid\"></line>\n",
+       "        <path d=\"M 92,196 A 4,4 0,0,1 88,200\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 136,168 A 4,4 0,0,0 132,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"172\" x2=\"132\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <line x1=\"136\" y1=\"168\" x2=\"152\" y2=\"168\" class=\"solid\"></line>\n",
+       "        <path d=\"M 152,168 A 4,4 0,0,1 156,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"172\" x2=\"156\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <line x1=\"92\" y1=\"184\" x2=\"132\" y2=\"184\" class=\"broken\"></line>\n",
+       "        <line x1=\"156\" y1=\"184\" x2=\"196\" y2=\"184\" class=\"solid\"></line>\n",
+       "        <path d=\"M 132,196 A 4,4 0,0,0 136,200\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"200\" x2=\"152\" y2=\"200\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,196 A 4,4 0,0,1 152,200\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 72,216 A 4,4 0,0,0 68,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"68\" y1=\"220\" x2=\"68\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <line x1=\"72\" y1=\"216\" x2=\"88\" y2=\"216\" class=\"solid\"></line>\n",
+       "        <path d=\"M 88,216 A 4,4 0,0,1 92,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"92\" y1=\"220\" x2=\"92\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <line x1=\"32\" y1=\"232\" x2=\"68\" y2=\"232\" class=\"solid\"></line>\n",
+       "        <path d=\"M 68,244 A 4,4 0,0,0 72,248\" class=\"nofill\"></path>\n",
+       "        <line x1=\"72\" y1=\"248\" x2=\"88\" y2=\"248\" class=\"solid\"></line>\n",
+       "        <path d=\"M 92,244 A 4,4 0,0,1 88,248\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 136,216 A 4,4 0,0,0 132,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"220\" x2=\"132\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <line x1=\"136\" y1=\"216\" x2=\"152\" y2=\"216\" class=\"solid\"></line>\n",
+       "        <path d=\"M 152,216 A 4,4 0,0,1 156,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"220\" x2=\"156\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <line x1=\"92\" y1=\"232\" x2=\"132\" y2=\"232\" class=\"broken\"></line>\n",
+       "        <path d=\"M 132,244 A 4,4 0,0,0 136,248\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"248\" x2=\"152\" y2=\"248\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,244 A 4,4 0,0,1 152,248\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 200,216 A 4,4 0,0,0 196,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"220\" x2=\"196\" y2=\"276\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"216\" x2=\"216\" y2=\"216\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,216 A 4,4 0,0,1 220,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"220\" x2=\"220\" y2=\"276\" class=\"solid\"></line>\n",
+       "        <line x1=\"156\" y1=\"232\" x2=\"196\" y2=\"232\" class=\"solid\"></line>\n",
+       "        <line x1=\"172\" y1=\"232\" x2=\"172\" y2=\"260\" class=\"solid\"></line>\n",
+       "        <line x1=\"172\" y1=\"248\" x2=\"196\" y2=\"248\" class=\"solid\"></line>\n",
+       "        <path d=\"M 172,260 A 4,4 0,0,0 176,264\" class=\"nofill\"></path>\n",
+       "        <line x1=\"176\" y1=\"264\" x2=\"196\" y2=\"264\" class=\"solid\"></line>\n",
+       "        <path d=\"M 196,276 A 4,4 0,0,0 200,280\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"280\" x2=\"216\" y2=\"280\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,276 A 4,4 0,0,1 216,280\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "</svg>"
+      ],
+      "text/plain": [
+       ".~~~.   .---.   .---.   .---.\n",
+       "┊i0 ┊p0 |i1 |p1 |i2 |p2 |i3 |\n",
+       "`~~~'   `---'   `---'   `---'\n",
+       "=============================\n",
+       ".~~.  0 .--.  0 .--.  0 .--.\n",
+       "┊0 ┊-+--|0 |~~~~|0 |-+--|1 |\n",
+       "`~~' |  `--'  1 `--' `--|2 |\n",
+       "     |  .--.    .--.  2 |--|\n",
+       "     |--|1 |~~~~|0 |-+--|0 |\n",
+       "     |  `--'  2 `--' `--|2 |\n",
+       "     |  .--.    .--.  4 |--|\n",
+       "     `--|1 |~~~~|1 |----|0 |\n",
+       "      3 `--'  3 `--'  5 `--'\n",
+       ".~~.    .--.    .--.    .--.\n",
+       "┊1 ┊----|1 |~~~~|1 |-+--|0 |\n",
+       "`~~'  4 `--'  4 `--' |--|1 |\n",
+       "                     `--|2 |\n",
+       "                      8 `--'"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "text/markdown": [
+       "# C-C-S-S"
+      ],
+      "text/plain": [
+       "<IPython.core.display.Markdown object>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "image/svg+xml": [
+       "<svg xmlns=\"http://www.w3.org/2000/svg\" width=\"240\" height=\"464\">\n",
+       "    <style>line, path, circle,rect,polygon {\n",
+       "                          stroke: black;\n",
+       "                          stroke-width: 2;\n",
+       "                          stroke-opacity: 1;\n",
+       "                          fill-opacity: 1;\n",
+       "                          stroke-linecap: round;\n",
+       "                          stroke-linejoin: miter;\n",
+       "                        }\n",
+       "\n",
+       "                    text {\n",
+       "                        /* This fix the spacing bug in svg text*/\n",
+       "                        white-space: pre;\n",
+       "                        fill: black;\n",
+       "                        }\n",
+       "                        rect.backdrop{\n",
+       "                            stroke: none;\n",
+       "                            fill: white;\n",
+       "                        }\n",
+       "                        .broken{\n",
+       "                            stroke-dasharray: 8;\n",
+       "                        }\n",
+       "                        .filled{\n",
+       "                            fill: black;\n",
+       "                        }\n",
+       "                        .bg_filled{\n",
+       "                            fill: white;\n",
+       "                        }\n",
+       "                        .nofill{\n",
+       "                            fill: white;\n",
+       "                        }\n",
+       "\n",
+       "                        text {\n",
+       "                         font-family: monospace;\n",
+       "                         font-size: 14px;\n",
+       "                        }\n",
+       "\n",
+       "                        .end_marked_arrow{\n",
+       "                            marker-end: url(#arrow);\n",
+       "                         }\n",
+       "                        .start_marked_arrow{\n",
+       "                            marker-start: url(#arrow);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_diamond{\n",
+       "                            marker-end: url(#diamond);\n",
+       "                         }\n",
+       "                        .start_marked_diamond{\n",
+       "                            marker-start: url(#diamond);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_circle{\n",
+       "                            marker-end: url(#circle);\n",
+       "                         }\n",
+       "                        .start_marked_circle{\n",
+       "                            marker-start: url(#circle);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_open_circle{\n",
+       "                            marker-end: url(#open_circle);\n",
+       "                         }\n",
+       "                        .start_marked_open_circle{\n",
+       "                            marker-start: url(#open_circle);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_big_open_circle{\n",
+       "                            marker-end: url(#big_open_circle);\n",
+       "                         }\n",
+       "                        .start_marked_big_open_circle{\n",
+       "                            marker-start: url(#big_open_circle);\n",
+       "                         }\n",
+       "\n",
+       "                         \n",
+       "                        </style>\n",
+       "    <defs>\n",
+       "        <marker id=\"arrow\" viewBox=\"-2 -2 8 8\" refX=\"4\" refY=\"2\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <polygon points=\"0,0 0,4 4,2 0,0\"></polygon>\n",
+       "        </marker>\n",
+       "        <marker id=\"diamond\" viewBox=\"-2 -2 8 8\" refX=\"4\" refY=\"2\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <polygon points=\"0,2 2,0 4,2 2,4 0,2\"></polygon>\n",
+       "        </marker>\n",
+       "        <marker id=\"circle\" viewBox=\"0 0 8 8\" refX=\"4\" refY=\"4\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <circle cx=\"4\" cy=\"4\" r=\"2\" class=\"filled\"></circle>\n",
+       "        </marker>\n",
+       "        <marker id=\"open_circle\" viewBox=\"0 0 8 8\" refX=\"4\" refY=\"4\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <circle cx=\"4\" cy=\"4\" r=\"2\" class=\"bg_filled\"></circle>\n",
+       "        </marker>\n",
+       "        <marker id=\"big_open_circle\" viewBox=\"0 0 8 8\" refX=\"4\" refY=\"4\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <circle cx=\"4\" cy=\"4\" r=\"3\" class=\"bg_filled\"></circle>\n",
+       "        </marker>\n",
+       "    </defs>\n",
+       "    <rect x=\"4\" y=\"8\" width=\"32\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"10\" y=\"28\" >i0</text>\n",
+       "    <rect x=\"68\" y=\"8\" width=\"32\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"74\" y=\"28\" >i1</text>\n",
+       "    <rect x=\"132\" y=\"8\" width=\"32\" height=\"32\" class=\"solid nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"138\" y=\"28\" >i2</text>\n",
+       "    <rect x=\"196\" y=\"8\" width=\"32\" height=\"32\" class=\"solid nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"202\" y=\"28\" >i3</text>\n",
+       "    <rect x=\"4\" y=\"72\" width=\"24\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"10\" y=\"92\" >0</text>\n",
+       "    <rect x=\"68\" y=\"72\" width=\"24\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"74\" y=\"92\" >0</text>\n",
+       "    <rect x=\"68\" y=\"168\" width=\"24\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"74\" y=\"188\" >1</text>\n",
+       "    <rect x=\"4\" y=\"216\" width=\"24\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"10\" y=\"236\" >1</text>\n",
+       "    <rect x=\"68\" y=\"312\" width=\"24\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"74\" y=\"332\" >1</text>\n",
+       "    <text x=\"42\" y=\"28\" >p0</text>\n",
+       "    <text x=\"106\" y=\"28\" >p1</text>\n",
+       "    <text x=\"170\" y=\"28\" >p2</text>\n",
+       "    <line x1=\"0\" y1=\"54\" x2=\"232\" y2=\"54\" class=\"solid\"></line>\n",
+       "    <line x1=\"0\" y1=\"58\" x2=\"232\" y2=\"58\" class=\"solid\"></line>\n",
+       "    <text x=\"50\" y=\"76\" >0</text>\n",
+       "    <text x=\"114\" y=\"76\" >0</text>\n",
+       "    <text x=\"178\" y=\"76\" >0</text>\n",
+       "    <text x=\"138\" y=\"92\" >0</text>\n",
+       "    <text x=\"202\" y=\"92\" >1</text>\n",
+       "    <text x=\"178\" y=\"108\" >1</text>\n",
+       "    <text x=\"138\" y=\"140\" >0</text>\n",
+       "    <text x=\"202\" y=\"140\" >2</text>\n",
+       "    <text x=\"114\" y=\"156\" >2</text>\n",
+       "    <text x=\"178\" y=\"156\" >2</text>\n",
+       "    <text x=\"138\" y=\"188\" >0</text>\n",
+       "    <text x=\"202\" y=\"188\" >0</text>\n",
+       "    <text x=\"50\" y=\"204\" >2</text>\n",
+       "    <text x=\"178\" y=\"204\" >3</text>\n",
+       "    <text x=\"74\" y=\"236\" >0</text>\n",
+       "    <text x=\"138\" y=\"236\" >0</text>\n",
+       "    <text x=\"202\" y=\"236\" >2</text>\n",
+       "    <text x=\"178\" y=\"252\" >4</text>\n",
+       "    <text x=\"138\" y=\"284\" >1</text>\n",
+       "    <text x=\"202\" y=\"284\" >0</text>\n",
+       "    <text x=\"114\" y=\"300\" >5</text>\n",
+       "    <text x=\"178\" y=\"300\" >5</text>\n",
+       "    <text x=\"114\" y=\"316\" >5</text>\n",
+       "    <text x=\"138\" y=\"332\" >1</text>\n",
+       "    <text x=\"202\" y=\"332\" >0</text>\n",
+       "    <text x=\"50\" y=\"348\" >4</text>\n",
+       "    <text x=\"178\" y=\"348\" >6</text>\n",
+       "    <text x=\"138\" y=\"380\" >1</text>\n",
+       "    <text x=\"202\" y=\"380\" >1</text>\n",
+       "    <text x=\"178\" y=\"396\" >7</text>\n",
+       "    <text x=\"138\" y=\"428\" >1</text>\n",
+       "    <text x=\"202\" y=\"428\" >2</text>\n",
+       "    <text x=\"114\" y=\"444\" >8</text>\n",
+       "    <text x=\"178\" y=\"444\" >8</text>\n",
+       "    <g>\n",
+       "        <path d=\"M 136,72 A 4,4 0,0,0 132,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"76\" x2=\"132\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"136\" y1=\"72\" x2=\"152\" y2=\"72\" class=\"solid\"></line>\n",
+       "        <path d=\"M 152,72 A 4,4 0,0,1 156,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"76\" x2=\"156\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"96\" y1=\"88\" x2=\"132\" y2=\"88\" class=\"solid\"></line>\n",
+       "        <line x1=\"108\" y1=\"88\" x2=\"108\" y2=\"132\" class=\"solid\"></line>\n",
+       "        <path d=\"M 132,100 A 4,4 0,0,0 136,104\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"104\" x2=\"152\" y2=\"104\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,100 A 4,4 0,0,1 152,104\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 108,132 A 4,4 0,0,0 112,136\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 200,72 A 4,4 0,0,0 196,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"76\" x2=\"196\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"72\" x2=\"216\" y2=\"72\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,72 A 4,4 0,0,1 220,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"76\" x2=\"220\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"156\" y1=\"88\" x2=\"196\" y2=\"88\" class=\"broken\"></line>\n",
+       "        <path d=\"M 196,100 A 4,4 0,0,0 200,104\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"104\" x2=\"216\" y2=\"104\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,100 A 4,4 0,0,1 216,104\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 136,120 A 4,4 0,0,0 132,124\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"124\" x2=\"132\" y2=\"148\" class=\"solid\"></line>\n",
+       "        <line x1=\"136\" y1=\"120\" x2=\"152\" y2=\"120\" class=\"solid\"></line>\n",
+       "        <path d=\"M 152,120 A 4,4 0,0,1 156,124\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"124\" x2=\"156\" y2=\"148\" class=\"solid\"></line>\n",
+       "        <line x1=\"112\" y1=\"136\" x2=\"132\" y2=\"136\" class=\"solid\"></line>\n",
+       "        <path d=\"M 132,148 A 4,4 0,0,0 136,152\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"152\" x2=\"152\" y2=\"152\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,148 A 4,4 0,0,1 152,152\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 200,120 A 4,4 0,0,0 196,124\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"124\" x2=\"196\" y2=\"148\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"120\" x2=\"216\" y2=\"120\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,120 A 4,4 0,0,1 220,124\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"124\" x2=\"220\" y2=\"148\" class=\"solid\"></line>\n",
+       "        <line x1=\"156\" y1=\"136\" x2=\"196\" y2=\"136\" class=\"broken\"></line>\n",
+       "        <path d=\"M 196,148 A 4,4 0,0,0 200,152\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"152\" x2=\"216\" y2=\"152\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,148 A 4,4 0,0,1 216,152\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <line x1=\"32\" y1=\"88\" x2=\"64\" y2=\"88\" class=\"broken\"></line>\n",
+       "        <line x1=\"44\" y1=\"88\" x2=\"44\" y2=\"180\" class=\"broken\"></line>\n",
+       "        <path d=\"M 44,180 A 4,4 0,0,0 48,184\" class=\"nofill\"></path>\n",
+       "        <line x1=\"48\" y1=\"184\" x2=\"64\" y2=\"184\" class=\"broken\"></line>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 136,168 A 4,4 0,0,0 132,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"172\" x2=\"132\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <line x1=\"136\" y1=\"168\" x2=\"152\" y2=\"168\" class=\"solid\"></line>\n",
+       "        <path d=\"M 152,168 A 4,4 0,0,1 156,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"172\" x2=\"156\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <line x1=\"96\" y1=\"184\" x2=\"132\" y2=\"184\" class=\"solid\"></line>\n",
+       "        <line x1=\"108\" y1=\"184\" x2=\"108\" y2=\"276\" class=\"solid\"></line>\n",
+       "        <path d=\"M 132,196 A 4,4 0,0,0 136,200\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"200\" x2=\"152\" y2=\"200\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,196 A 4,4 0,0,1 152,200\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 108,276 A 4,4 0,0,0 112,280\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 200,168 A 4,4 0,0,0 196,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"172\" x2=\"196\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"168\" x2=\"216\" y2=\"168\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,168 A 4,4 0,0,1 220,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"172\" x2=\"220\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <line x1=\"156\" y1=\"184\" x2=\"196\" y2=\"184\" class=\"broken\"></line>\n",
+       "        <path d=\"M 196,196 A 4,4 0,0,0 200,200\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"200\" x2=\"216\" y2=\"200\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,196 A 4,4 0,0,1 216,200\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 136,216 A 4,4 0,0,0 132,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"220\" x2=\"132\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <line x1=\"136\" y1=\"216\" x2=\"152\" y2=\"216\" class=\"solid\"></line>\n",
+       "        <path d=\"M 152,216 A 4,4 0,0,1 156,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"220\" x2=\"156\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <line x1=\"108\" y1=\"232\" x2=\"132\" y2=\"232\" class=\"solid\"></line>\n",
+       "        <path d=\"M 132,244 A 4,4 0,0,0 136,248\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"248\" x2=\"152\" y2=\"248\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,244 A 4,4 0,0,1 152,248\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 200,216 A 4,4 0,0,0 196,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"220\" x2=\"196\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"216\" x2=\"216\" y2=\"216\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,216 A 4,4 0,0,1 220,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"220\" x2=\"220\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <line x1=\"156\" y1=\"232\" x2=\"196\" y2=\"232\" class=\"broken\"></line>\n",
+       "        <path d=\"M 196,244 A 4,4 0,0,0 200,248\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"248\" x2=\"216\" y2=\"248\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,244 A 4,4 0,0,1 216,248\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 136,264 A 4,4 0,0,0 132,268\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"268\" x2=\"132\" y2=\"292\" class=\"solid\"></line>\n",
+       "        <line x1=\"136\" y1=\"264\" x2=\"152\" y2=\"264\" class=\"solid\"></line>\n",
+       "        <path d=\"M 152,264 A 4,4 0,0,1 156,268\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"268\" x2=\"156\" y2=\"292\" class=\"solid\"></line>\n",
+       "        <line x1=\"112\" y1=\"280\" x2=\"132\" y2=\"280\" class=\"solid\"></line>\n",
+       "        <path d=\"M 132,292 A 4,4 0,0,0 136,296\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"296\" x2=\"152\" y2=\"296\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,292 A 4,4 0,0,1 152,296\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 200,264 A 4,4 0,0,0 196,268\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"268\" x2=\"196\" y2=\"292\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"264\" x2=\"216\" y2=\"264\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,264 A 4,4 0,0,1 220,268\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"268\" x2=\"220\" y2=\"292\" class=\"solid\"></line>\n",
+       "        <line x1=\"156\" y1=\"280\" x2=\"196\" y2=\"280\" class=\"broken\"></line>\n",
+       "        <path d=\"M 196,292 A 4,4 0,0,0 200,296\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"296\" x2=\"216\" y2=\"296\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,292 A 4,4 0,0,1 216,296\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 72,216 A 4,4 0,0,0 68,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"68\" y1=\"220\" x2=\"68\" y2=\"244\" class=\"broken\"></line>\n",
+       "        <line x1=\"72\" y1=\"216\" x2=\"88\" y2=\"216\" class=\"broken\"></line>\n",
+       "        <path d=\"M 88,216 A 4,4 0,0,1 92,220\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 88,216 A 8,8 0,0,1 94,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"92\" y1=\"220\" x2=\"92\" y2=\"244\" class=\"broken\"></line>\n",
+       "        <line x1=\"94\" y1=\"220\" x2=\"96\" y2=\"224\" class=\"solid\"></line>\n",
+       "        <path d=\"M 96,224 A 16,16 0,0,1 96,240\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 68,244 A 4,4 0,0,0 72,248\" class=\"nofill\"></path>\n",
+       "        <line x1=\"72\" y1=\"248\" x2=\"88\" y2=\"248\" class=\"broken\"></line>\n",
+       "        <line x1=\"96\" y1=\"240\" x2=\"94\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <path d=\"M 92,244 A 4,4 0,0,1 88,248\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 94,244 A 8,8 0,0,1 88,248\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <line x1=\"32\" y1=\"232\" x2=\"64\" y2=\"232\" class=\"broken\"></line>\n",
+       "        <line x1=\"44\" y1=\"232\" x2=\"44\" y2=\"324\" class=\"broken\"></line>\n",
+       "        <path d=\"M 44,324 A 4,4 0,0,0 48,328\" class=\"nofill\"></path>\n",
+       "        <line x1=\"48\" y1=\"328\" x2=\"64\" y2=\"328\" class=\"broken\"></line>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 136,312 A 4,4 0,0,0 132,316\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"316\" x2=\"132\" y2=\"340\" class=\"solid\"></line>\n",
+       "        <line x1=\"136\" y1=\"312\" x2=\"152\" y2=\"312\" class=\"solid\"></line>\n",
+       "        <path d=\"M 152,312 A 4,4 0,0,1 156,316\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"316\" x2=\"156\" y2=\"340\" class=\"solid\"></line>\n",
+       "        <line x1=\"96\" y1=\"328\" x2=\"132\" y2=\"328\" class=\"solid\"></line>\n",
+       "        <line x1=\"108\" y1=\"328\" x2=\"108\" y2=\"420\" class=\"solid\"></line>\n",
+       "        <path d=\"M 132,340 A 4,4 0,0,0 136,344\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"344\" x2=\"152\" y2=\"344\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,340 A 4,4 0,0,1 152,344\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 108,420 A 4,4 0,0,0 112,424\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 200,312 A 4,4 0,0,0 196,316\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"316\" x2=\"196\" y2=\"340\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"312\" x2=\"216\" y2=\"312\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,312 A 4,4 0,0,1 220,316\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"316\" x2=\"220\" y2=\"340\" class=\"solid\"></line>\n",
+       "        <line x1=\"156\" y1=\"328\" x2=\"196\" y2=\"328\" class=\"broken\"></line>\n",
+       "        <path d=\"M 196,340 A 4,4 0,0,0 200,344\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"344\" x2=\"216\" y2=\"344\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,340 A 4,4 0,0,1 216,344\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 136,360 A 4,4 0,0,0 132,364\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"364\" x2=\"132\" y2=\"388\" class=\"solid\"></line>\n",
+       "        <line x1=\"136\" y1=\"360\" x2=\"152\" y2=\"360\" class=\"solid\"></line>\n",
+       "        <path d=\"M 152,360 A 4,4 0,0,1 156,364\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"364\" x2=\"156\" y2=\"388\" class=\"solid\"></line>\n",
+       "        <line x1=\"108\" y1=\"376\" x2=\"132\" y2=\"376\" class=\"solid\"></line>\n",
+       "        <path d=\"M 132,388 A 4,4 0,0,0 136,392\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"392\" x2=\"152\" y2=\"392\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,388 A 4,4 0,0,1 152,392\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 200,360 A 4,4 0,0,0 196,364\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"364\" x2=\"196\" y2=\"388\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"360\" x2=\"216\" y2=\"360\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,360 A 4,4 0,0,1 220,364\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"364\" x2=\"220\" y2=\"388\" class=\"solid\"></line>\n",
+       "        <line x1=\"156\" y1=\"376\" x2=\"196\" y2=\"376\" class=\"broken\"></line>\n",
+       "        <path d=\"M 196,388 A 4,4 0,0,0 200,392\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"392\" x2=\"216\" y2=\"392\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,388 A 4,4 0,0,1 216,392\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 136,408 A 4,4 0,0,0 132,412\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"412\" x2=\"132\" y2=\"436\" class=\"solid\"></line>\n",
+       "        <line x1=\"136\" y1=\"408\" x2=\"152\" y2=\"408\" class=\"solid\"></line>\n",
+       "        <path d=\"M 152,408 A 4,4 0,0,1 156,412\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"412\" x2=\"156\" y2=\"436\" class=\"solid\"></line>\n",
+       "        <line x1=\"112\" y1=\"424\" x2=\"132\" y2=\"424\" class=\"solid\"></line>\n",
+       "        <path d=\"M 132,436 A 4,4 0,0,0 136,440\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"440\" x2=\"152\" y2=\"440\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,436 A 4,4 0,0,1 152,440\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 200,408 A 4,4 0,0,0 196,412\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"412\" x2=\"196\" y2=\"436\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"408\" x2=\"216\" y2=\"408\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,408 A 4,4 0,0,1 220,412\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"412\" x2=\"220\" y2=\"436\" class=\"solid\"></line>\n",
+       "        <line x1=\"156\" y1=\"424\" x2=\"196\" y2=\"424\" class=\"broken\"></line>\n",
+       "        <path d=\"M 196,436 A 4,4 0,0,0 200,440\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"440\" x2=\"216\" y2=\"440\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,436 A 4,4 0,0,1 216,440\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "</svg>"
+      ],
+      "text/plain": [
+       ".~~~.   .~~~.   .---.   .---.\n",
+       "┊i0 ┊p0 ┊i1 ┊p1 |i2 |p2 |i3 |\n",
+       "`~~~'   `~~~'   `---'   `---'\n",
+       "=============================\n",
+       ".~~.  0 .~~.  0 .--.  0 .--.\n",
+       "┊0 ┊~+~~┊0 ┊-+--|0 |~~~~|1 |\n",
+       "`~~' ┊  `~~' |  `--'  1 `--'\n",
+       "     ┊       |  .--.    .--.\n",
+       "     ┊       `--|0 |~~~~|2 |\n",
+       "     ┊        2 `--'  2 `--'\n",
+       "     ┊  .~~.    .--.    .--.\n",
+       "     `~~┊1 ┊-+--|0 |~~~~|0 |\n",
+       "      2 `~~' |  `--'  3 `--'\n",
+       ".~~.    .~~. |  .--.    .--.\n",
+       "┊1 ┊~+~~┊0 ┊)|--|0 |~~~~|2 |\n",
+       "`~~' ┊  `~~' |  `--'  4 `--'\n",
+       "     ┊       |  .--.    .--.\n",
+       "     ┊       `--|1 |~~~~|0 |\n",
+       "     ┊        5 `--'  5 `--'\n",
+       "     ┊  .~~.  5 .--.    .--.\n",
+       "     `~~┊1 ┊-+--|1 |~~~~|0 |\n",
+       "      4 `~~' |  `--'  6 `--'\n",
+       "             |  .--.    .--.\n",
+       "             |--|1 |~~~~|1 |\n",
+       "             |  `--'  7 `--'\n",
+       "             |  .--.    .--.\n",
+       "             `--|1 |~~~~|2 |\n",
+       "              8 `--'  8 `--'"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "text/markdown": [
+       "# C-C-C-S"
+      ],
+      "text/plain": [
+       "<IPython.core.display.Markdown object>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "image/svg+xml": [
+       "<svg xmlns=\"http://www.w3.org/2000/svg\" width=\"240\" height=\"496\">\n",
+       "    <style>line, path, circle,rect,polygon {\n",
+       "                          stroke: black;\n",
+       "                          stroke-width: 2;\n",
+       "                          stroke-opacity: 1;\n",
+       "                          fill-opacity: 1;\n",
+       "                          stroke-linecap: round;\n",
+       "                          stroke-linejoin: miter;\n",
+       "                        }\n",
+       "\n",
+       "                    text {\n",
+       "                        /* This fix the spacing bug in svg text*/\n",
+       "                        white-space: pre;\n",
+       "                        fill: black;\n",
+       "                        }\n",
+       "                        rect.backdrop{\n",
+       "                            stroke: none;\n",
+       "                            fill: white;\n",
+       "                        }\n",
+       "                        .broken{\n",
+       "                            stroke-dasharray: 8;\n",
+       "                        }\n",
+       "                        .filled{\n",
+       "                            fill: black;\n",
+       "                        }\n",
+       "                        .bg_filled{\n",
+       "                            fill: white;\n",
+       "                        }\n",
+       "                        .nofill{\n",
+       "                            fill: white;\n",
+       "                        }\n",
+       "\n",
+       "                        text {\n",
+       "                         font-family: monospace;\n",
+       "                         font-size: 14px;\n",
+       "                        }\n",
+       "\n",
+       "                        .end_marked_arrow{\n",
+       "                            marker-end: url(#arrow);\n",
+       "                         }\n",
+       "                        .start_marked_arrow{\n",
+       "                            marker-start: url(#arrow);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_diamond{\n",
+       "                            marker-end: url(#diamond);\n",
+       "                         }\n",
+       "                        .start_marked_diamond{\n",
+       "                            marker-start: url(#diamond);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_circle{\n",
+       "                            marker-end: url(#circle);\n",
+       "                         }\n",
+       "                        .start_marked_circle{\n",
+       "                            marker-start: url(#circle);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_open_circle{\n",
+       "                            marker-end: url(#open_circle);\n",
+       "                         }\n",
+       "                        .start_marked_open_circle{\n",
+       "                            marker-start: url(#open_circle);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_big_open_circle{\n",
+       "                            marker-end: url(#big_open_circle);\n",
+       "                         }\n",
+       "                        .start_marked_big_open_circle{\n",
+       "                            marker-start: url(#big_open_circle);\n",
+       "                         }\n",
+       "\n",
+       "                         \n",
+       "                        </style>\n",
+       "    <defs>\n",
+       "        <marker id=\"arrow\" viewBox=\"-2 -2 8 8\" refX=\"4\" refY=\"2\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <polygon points=\"0,0 0,4 4,2 0,0\"></polygon>\n",
+       "        </marker>\n",
+       "        <marker id=\"diamond\" viewBox=\"-2 -2 8 8\" refX=\"4\" refY=\"2\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <polygon points=\"0,2 2,0 4,2 2,4 0,2\"></polygon>\n",
+       "        </marker>\n",
+       "        <marker id=\"circle\" viewBox=\"0 0 8 8\" refX=\"4\" refY=\"4\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <circle cx=\"4\" cy=\"4\" r=\"2\" class=\"filled\"></circle>\n",
+       "        </marker>\n",
+       "        <marker id=\"open_circle\" viewBox=\"0 0 8 8\" refX=\"4\" refY=\"4\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <circle cx=\"4\" cy=\"4\" r=\"2\" class=\"bg_filled\"></circle>\n",
+       "        </marker>\n",
+       "        <marker id=\"big_open_circle\" viewBox=\"0 0 8 8\" refX=\"4\" refY=\"4\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <circle cx=\"4\" cy=\"4\" r=\"3\" class=\"bg_filled\"></circle>\n",
+       "        </marker>\n",
+       "    </defs>\n",
+       "    <rect x=\"4\" y=\"8\" width=\"32\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"10\" y=\"28\" >i0</text>\n",
+       "    <rect x=\"68\" y=\"8\" width=\"32\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"74\" y=\"28\" >i1</text>\n",
+       "    <rect x=\"132\" y=\"8\" width=\"32\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"138\" y=\"28\" >i2</text>\n",
+       "    <rect x=\"196\" y=\"8\" width=\"32\" height=\"32\" class=\"solid nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"202\" y=\"28\" >i3</text>\n",
+       "    <rect x=\"4\" y=\"72\" width=\"24\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"10\" y=\"92\" >0</text>\n",
+       "    <rect x=\"68\" y=\"72\" width=\"24\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"74\" y=\"92\" >0</text>\n",
+       "    <rect x=\"132\" y=\"72\" width=\"24\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"138\" y=\"92\" >0</text>\n",
+       "    <rect x=\"68\" y=\"168\" width=\"24\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"74\" y=\"188\" >1</text>\n",
+       "    <rect x=\"132\" y=\"168\" width=\"24\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"138\" y=\"188\" >0</text>\n",
+       "    <rect x=\"132\" y=\"216\" width=\"24\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"138\" y=\"236\" >1</text>\n",
+       "    <rect x=\"4\" y=\"264\" width=\"24\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"10\" y=\"284\" >1</text>\n",
+       "    <rect x=\"68\" y=\"264\" width=\"24\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"74\" y=\"284\" >0</text>\n",
+       "    <rect x=\"68\" y=\"360\" width=\"24\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"74\" y=\"380\" >1</text>\n",
+       "    <rect x=\"132\" y=\"408\" width=\"24\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"138\" y=\"428\" >1</text>\n",
+       "    <text x=\"42\" y=\"28\" >p0</text>\n",
+       "    <text x=\"106\" y=\"28\" >p1</text>\n",
+       "    <text x=\"170\" y=\"28\" >p2</text>\n",
+       "    <line x1=\"0\" y1=\"54\" x2=\"232\" y2=\"54\" class=\"solid\"></line>\n",
+       "    <line x1=\"0\" y1=\"58\" x2=\"232\" y2=\"58\" class=\"solid\"></line>\n",
+       "    <text x=\"50\" y=\"76\" >0</text>\n",
+       "    <text x=\"114\" y=\"76\" >0</text>\n",
+       "    <text x=\"178\" y=\"76\" >0</text>\n",
+       "    <text x=\"202\" y=\"92\" >1</text>\n",
+       "    <text x=\"202\" y=\"108\" >2</text>\n",
+       "    <text x=\"178\" y=\"124\" >2</text>\n",
+       "    <text x=\"138\" y=\"140\" >1</text>\n",
+       "    <text x=\"114\" y=\"156\" >2</text>\n",
+       "    <text x=\"178\" y=\"172\" >2</text>\n",
+       "    <text x=\"202\" y=\"188\" >0</text>\n",
+       "    <text x=\"50\" y=\"204\" >2</text>\n",
+       "    <text x=\"202\" y=\"204\" >2</text>\n",
+       "    <text x=\"178\" y=\"220\" >4</text>\n",
+       "    <text x=\"202\" y=\"236\" >0</text>\n",
+       "    <text x=\"114\" y=\"252\" >4</text>\n",
+       "    <text x=\"178\" y=\"252\" >5</text>\n",
+       "    <text x=\"138\" y=\"284\" >0</text>\n",
+       "    <text x=\"138\" y=\"332\" >1</text>\n",
+       "    <text x=\"114\" y=\"348\" >6</text>\n",
+       "    <text x=\"138\" y=\"380\" >0</text>\n",
+       "    <text x=\"50\" y=\"396\" >4</text>\n",
+       "    <text x=\"178\" y=\"412\" >5</text>\n",
+       "    <text x=\"202\" y=\"428\" >0</text>\n",
+       "    <text x=\"114\" y=\"444\" >8</text>\n",
+       "    <text x=\"202\" y=\"444\" >1</text>\n",
+       "    <text x=\"202\" y=\"460\" >2</text>\n",
+       "    <text x=\"178\" y=\"476\" >8</text>\n",
+       "    <text x=\"178\" y=\"316\" >5</text>\n",
+       "    <text x=\"178\" y=\"364\" >5</text>\n",
+       "    <g>\n",
+       "        <path d=\"M 200,72 A 4,4 0,0,0 196,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"76\" x2=\"196\" y2=\"116\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"72\" x2=\"216\" y2=\"72\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,72 A 4,4 0,0,1 220,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"76\" x2=\"220\" y2=\"116\" class=\"solid\"></line>\n",
+       "        <line x1=\"160\" y1=\"88\" x2=\"196\" y2=\"88\" class=\"solid\"></line>\n",
+       "        <line x1=\"172\" y1=\"88\" x2=\"172\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <path d=\"M 172,100 A 4,4 0,0,0 176,104\" class=\"nofill\"></path>\n",
+       "        <line x1=\"176\" y1=\"104\" x2=\"196\" y2=\"104\" class=\"solid\"></line>\n",
+       "        <path d=\"M 196,116 A 4,4 0,0,0 200,120\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"120\" x2=\"216\" y2=\"120\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,116 A 4,4 0,0,1 216,120\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <line x1=\"32\" y1=\"88\" x2=\"64\" y2=\"88\" class=\"broken\"></line>\n",
+       "        <line x1=\"44\" y1=\"88\" x2=\"44\" y2=\"180\" class=\"broken\"></line>\n",
+       "        <path d=\"M 44,180 A 4,4 0,0,0 48,184\" class=\"nofill\"></path>\n",
+       "        <line x1=\"48\" y1=\"184\" x2=\"64\" y2=\"184\" class=\"broken\"></line>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <line x1=\"96\" y1=\"88\" x2=\"128\" y2=\"88\" class=\"broken\"></line>\n",
+       "        <line x1=\"108\" y1=\"88\" x2=\"108\" y2=\"132\" class=\"broken\"></line>\n",
+       "        <path d=\"M 108,132 A 4,4 0,0,0 112,136\" class=\"nofill\"></path>\n",
+       "        <line x1=\"112\" y1=\"136\" x2=\"128\" y2=\"136\" class=\"broken\"></line>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 136,120 A 4,4 0,0,0 132,124\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"124\" x2=\"132\" y2=\"148\" class=\"broken\"></line>\n",
+       "        <line x1=\"136\" y1=\"120\" x2=\"152\" y2=\"120\" class=\"broken\"></line>\n",
+       "        <path d=\"M 152,120 A 4,4 0,0,1 156,124\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 152,120 A 8,8 0,0,1 158,124\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"124\" x2=\"156\" y2=\"148\" class=\"broken\"></line>\n",
+       "        <line x1=\"158\" y1=\"124\" x2=\"160\" y2=\"128\" class=\"solid\"></line>\n",
+       "        <path d=\"M 160,128 A 16,16 0,0,1 160,144\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 132,148 A 4,4 0,0,0 136,152\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"152\" x2=\"152\" y2=\"152\" class=\"broken\"></line>\n",
+       "        <line x1=\"160\" y1=\"144\" x2=\"158\" y2=\"148\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,148 A 4,4 0,0,1 152,152\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 158,148 A 8,8 0,0,1 152,152\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 200,168 A 4,4 0,0,0 196,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"172\" x2=\"196\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"168\" x2=\"216\" y2=\"168\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,168 A 4,4 0,0,1 220,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"172\" x2=\"220\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <line x1=\"160\" y1=\"184\" x2=\"196\" y2=\"184\" class=\"solid\"></line>\n",
+       "        <line x1=\"172\" y1=\"184\" x2=\"172\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <path d=\"M 172,196 A 4,4 0,0,0 176,200\" class=\"nofill\"></path>\n",
+       "        <line x1=\"176\" y1=\"200\" x2=\"196\" y2=\"200\" class=\"solid\"></line>\n",
+       "        <line x1=\"196\" y1=\"216\" x2=\"220\" y2=\"216\" class=\"solid\"></line>\n",
+       "        <line x1=\"160\" y1=\"232\" x2=\"196\" y2=\"232\" class=\"solid\"></line>\n",
+       "        <path d=\"M 196,244 A 4,4 0,0,0 200,248\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"248\" x2=\"216\" y2=\"248\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,244 A 4,4 0,0,1 216,248\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <line x1=\"96\" y1=\"184\" x2=\"128\" y2=\"184\" class=\"broken\"></line>\n",
+       "        <line x1=\"108\" y1=\"184\" x2=\"108\" y2=\"228\" class=\"broken\"></line>\n",
+       "        <path d=\"M 108,228 A 4,4 0,0,0 112,232\" class=\"nofill\"></path>\n",
+       "        <line x1=\"112\" y1=\"232\" x2=\"128\" y2=\"232\" class=\"broken\"></line>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 136,264 A 4,4 0,0,0 132,268\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"268\" x2=\"132\" y2=\"292\" class=\"broken\"></line>\n",
+       "        <line x1=\"136\" y1=\"264\" x2=\"152\" y2=\"264\" class=\"broken\"></line>\n",
+       "        <path d=\"M 152,264 A 4,4 0,0,1 156,268\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 152,264 A 8,8 0,0,1 158,268\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"268\" x2=\"156\" y2=\"292\" class=\"broken\"></line>\n",
+       "        <line x1=\"158\" y1=\"268\" x2=\"160\" y2=\"272\" class=\"solid\"></line>\n",
+       "        <path d=\"M 160,272 A 16,16 0,0,1 160,288\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 132,292 A 4,4 0,0,0 136,296\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"296\" x2=\"152\" y2=\"296\" class=\"broken\"></line>\n",
+       "        <line x1=\"160\" y1=\"288\" x2=\"158\" y2=\"292\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,292 A 4,4 0,0,1 152,296\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 158,292 A 8,8 0,0,1 152,296\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <line x1=\"32\" y1=\"280\" x2=\"64\" y2=\"280\" class=\"broken\"></line>\n",
+       "        <line x1=\"44\" y1=\"280\" x2=\"44\" y2=\"372\" class=\"broken\"></line>\n",
+       "        <path d=\"M 44,372 A 4,4 0,0,0 48,376\" class=\"nofill\"></path>\n",
+       "        <line x1=\"48\" y1=\"376\" x2=\"64\" y2=\"376\" class=\"broken\"></line>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <line x1=\"96\" y1=\"280\" x2=\"128\" y2=\"280\" class=\"broken\"></line>\n",
+       "        <line x1=\"108\" y1=\"280\" x2=\"108\" y2=\"324\" class=\"broken\"></line>\n",
+       "        <path d=\"M 108,324 A 4,4 0,0,0 112,328\" class=\"nofill\"></path>\n",
+       "        <line x1=\"112\" y1=\"328\" x2=\"128\" y2=\"328\" class=\"broken\"></line>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 136,312 A 4,4 0,0,0 132,316\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"316\" x2=\"132\" y2=\"340\" class=\"broken\"></line>\n",
+       "        <line x1=\"136\" y1=\"312\" x2=\"152\" y2=\"312\" class=\"broken\"></line>\n",
+       "        <path d=\"M 152,312 A 4,4 0,0,1 156,316\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 152,312 A 8,8 0,0,1 158,316\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"316\" x2=\"156\" y2=\"340\" class=\"broken\"></line>\n",
+       "        <line x1=\"158\" y1=\"316\" x2=\"160\" y2=\"320\" class=\"solid\"></line>\n",
+       "        <path d=\"M 160,320 A 16,16 0,0,1 160,336\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 132,340 A 4,4 0,0,0 136,344\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"344\" x2=\"152\" y2=\"344\" class=\"broken\"></line>\n",
+       "        <line x1=\"160\" y1=\"336\" x2=\"158\" y2=\"340\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,340 A 4,4 0,0,1 152,344\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 158,340 A 8,8 0,0,1 152,344\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 136,360 A 4,4 0,0,0 132,364\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"364\" x2=\"132\" y2=\"388\" class=\"broken\"></line>\n",
+       "        <line x1=\"136\" y1=\"360\" x2=\"152\" y2=\"360\" class=\"broken\"></line>\n",
+       "        <path d=\"M 152,360 A 4,4 0,0,1 156,364\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 152,360 A 8,8 0,0,1 158,364\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"364\" x2=\"156\" y2=\"388\" class=\"broken\"></line>\n",
+       "        <line x1=\"158\" y1=\"364\" x2=\"160\" y2=\"368\" class=\"solid\"></line>\n",
+       "        <path d=\"M 160,368 A 16,16 0,0,1 160,384\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 132,388 A 4,4 0,0,0 136,392\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"392\" x2=\"152\" y2=\"392\" class=\"broken\"></line>\n",
+       "        <line x1=\"160\" y1=\"384\" x2=\"158\" y2=\"388\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,388 A 4,4 0,0,1 152,392\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 158,388 A 8,8 0,0,1 152,392\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <line x1=\"96\" y1=\"376\" x2=\"128\" y2=\"376\" class=\"broken\"></line>\n",
+       "        <line x1=\"108\" y1=\"376\" x2=\"108\" y2=\"420\" class=\"broken\"></line>\n",
+       "        <path d=\"M 108,420 A 4,4 0,0,0 112,424\" class=\"nofill\"></path>\n",
+       "        <line x1=\"112\" y1=\"424\" x2=\"128\" y2=\"424\" class=\"broken\"></line>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 200,408 A 4,4 0,0,0 196,412\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"412\" x2=\"196\" y2=\"468\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"408\" x2=\"216\" y2=\"408\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,408 A 4,4 0,0,1 220,412\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"412\" x2=\"220\" y2=\"468\" class=\"solid\"></line>\n",
+       "        <line x1=\"160\" y1=\"424\" x2=\"196\" y2=\"424\" class=\"solid\"></line>\n",
+       "        <line x1=\"172\" y1=\"424\" x2=\"172\" y2=\"452\" class=\"solid\"></line>\n",
+       "        <line x1=\"172\" y1=\"440\" x2=\"196\" y2=\"440\" class=\"solid\"></line>\n",
+       "        <path d=\"M 172,452 A 4,4 0,0,0 176,456\" class=\"nofill\"></path>\n",
+       "        <line x1=\"176\" y1=\"456\" x2=\"196\" y2=\"456\" class=\"solid\"></line>\n",
+       "        <path d=\"M 196,468 A 4,4 0,0,0 200,472\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"472\" x2=\"216\" y2=\"472\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,468 A 4,4 0,0,1 216,472\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "</svg>"
+      ],
+      "text/plain": [
+       ".~~~.   .~~~.   .~~~.   .---.\n",
+       "┊i0 ┊p0 ┊i1 ┊p1 ┊i2 ┊p2 |i3 |\n",
+       "`~~~'   `~~~'   `~~~'   `---'\n",
+       "=============================\n",
+       ".~~.  0 .~~.  0 .~~.  0 .--.\n",
+       "┊0 ┊~+~~┊0 ┊~+~~┊0 ┊-+--|1 |\n",
+       "`~~' ┊  `~~' ┊  `~~' `--|2 |\n",
+       "     ┊       ┊  .~~.  2 `--'\n",
+       "     ┊       `~~┊1 ┊)\n",
+       "     ┊        2 `~~'\n",
+       "     ┊  .~~.    .~~.  2 .--.\n",
+       "     `~~┊1 ┊~+~~┊0 ┊-+--|0 |\n",
+       "      2 `~~' ┊  `~~' `--|2 |\n",
+       "             ┊  .~~.  4 |--|\n",
+       "             `~~┊1 ┊----|0 |\n",
+       "              4 `~~'  5 `--'\n",
+       ".~~.    .~~.    .~~.\n",
+       "┊1 ┊~+~~┊0 ┊~+~~┊0 ┊)\n",
+       "`~~' ┊  `~~' ┊  `~~'\n",
+       "     ┊       ┊  .~~.  5\n",
+       "     ┊       `~~┊1 ┊)\n",
+       "     ┊        6 `~~'\n",
+       "     ┊  .~~.    .~~.  5\n",
+       "     `~~┊1 ┊~+~~┊0 ┊)\n",
+       "      4 `~~' ┊  `~~'\n",
+       "             ┊  .~~.  5 .--.\n",
+       "             `~~┊1 ┊-+--|0 |\n",
+       "              8 `~~' |--|1 |\n",
+       "                     `--|2 |\n",
+       "                      8 `--'"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "text/markdown": [
+       "# C-C-DC-S"
+      ],
+      "text/plain": [
+       "<IPython.core.display.Markdown object>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "image/svg+xml": [
+       "<svg xmlns=\"http://www.w3.org/2000/svg\" width=\"240\" height=\"304\">\n",
+       "    <style>line, path, circle,rect,polygon {\n",
+       "                          stroke: black;\n",
+       "                          stroke-width: 2;\n",
+       "                          stroke-opacity: 1;\n",
+       "                          fill-opacity: 1;\n",
+       "                          stroke-linecap: round;\n",
+       "                          stroke-linejoin: miter;\n",
+       "                        }\n",
+       "\n",
+       "                    text {\n",
+       "                        /* This fix the spacing bug in svg text*/\n",
+       "                        white-space: pre;\n",
+       "                        fill: black;\n",
+       "                        }\n",
+       "                        rect.backdrop{\n",
+       "                            stroke: none;\n",
+       "                            fill: white;\n",
+       "                        }\n",
+       "                        .broken{\n",
+       "                            stroke-dasharray: 8;\n",
+       "                        }\n",
+       "                        .filled{\n",
+       "                            fill: black;\n",
+       "                        }\n",
+       "                        .bg_filled{\n",
+       "                            fill: white;\n",
+       "                        }\n",
+       "                        .nofill{\n",
+       "                            fill: white;\n",
+       "                        }\n",
+       "\n",
+       "                        text {\n",
+       "                         font-family: monospace;\n",
+       "                         font-size: 14px;\n",
+       "                        }\n",
+       "\n",
+       "                        .end_marked_arrow{\n",
+       "                            marker-end: url(#arrow);\n",
+       "                         }\n",
+       "                        .start_marked_arrow{\n",
+       "                            marker-start: url(#arrow);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_diamond{\n",
+       "                            marker-end: url(#diamond);\n",
+       "                         }\n",
+       "                        .start_marked_diamond{\n",
+       "                            marker-start: url(#diamond);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_circle{\n",
+       "                            marker-end: url(#circle);\n",
+       "                         }\n",
+       "                        .start_marked_circle{\n",
+       "                            marker-start: url(#circle);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_open_circle{\n",
+       "                            marker-end: url(#open_circle);\n",
+       "                         }\n",
+       "                        .start_marked_open_circle{\n",
+       "                            marker-start: url(#open_circle);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_big_open_circle{\n",
+       "                            marker-end: url(#big_open_circle);\n",
+       "                         }\n",
+       "                        .start_marked_big_open_circle{\n",
+       "                            marker-start: url(#big_open_circle);\n",
+       "                         }\n",
+       "\n",
+       "                         \n",
+       "                        </style>\n",
+       "    <defs>\n",
+       "        <marker id=\"arrow\" viewBox=\"-2 -2 8 8\" refX=\"4\" refY=\"2\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <polygon points=\"0,0 0,4 4,2 0,0\"></polygon>\n",
+       "        </marker>\n",
+       "        <marker id=\"diamond\" viewBox=\"-2 -2 8 8\" refX=\"4\" refY=\"2\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <polygon points=\"0,2 2,0 4,2 2,4 0,2\"></polygon>\n",
+       "        </marker>\n",
+       "        <marker id=\"circle\" viewBox=\"0 0 8 8\" refX=\"4\" refY=\"4\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <circle cx=\"4\" cy=\"4\" r=\"2\" class=\"filled\"></circle>\n",
+       "        </marker>\n",
+       "        <marker id=\"open_circle\" viewBox=\"0 0 8 8\" refX=\"4\" refY=\"4\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <circle cx=\"4\" cy=\"4\" r=\"2\" class=\"bg_filled\"></circle>\n",
+       "        </marker>\n",
+       "        <marker id=\"big_open_circle\" viewBox=\"0 0 8 8\" refX=\"4\" refY=\"4\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <circle cx=\"4\" cy=\"4\" r=\"3\" class=\"bg_filled\"></circle>\n",
+       "        </marker>\n",
+       "    </defs>\n",
+       "    <rect x=\"4\" y=\"8\" width=\"32\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"10\" y=\"28\" >i0</text>\n",
+       "    <rect x=\"68\" y=\"8\" width=\"32\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"74\" y=\"28\" >i1</text>\n",
+       "    <rect x=\"132\" y=\"8\" width=\"32\" height=\"32\" class=\"solid nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"138\" y=\"28\" >i2</text>\n",
+       "    <rect x=\"196\" y=\"8\" width=\"32\" height=\"32\" class=\"solid nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"202\" y=\"28\" >i3</text>\n",
+       "    <rect x=\"4\" y=\"72\" width=\"24\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"10\" y=\"92\" >0</text>\n",
+       "    <rect x=\"68\" y=\"72\" width=\"24\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"74\" y=\"92\" >0</text>\n",
+       "    <rect x=\"68\" y=\"120\" width=\"24\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"74\" y=\"140\" >1</text>\n",
+       "    <rect x=\"4\" y=\"168\" width=\"24\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"10\" y=\"188\" >1</text>\n",
+       "    <rect x=\"68\" y=\"216\" width=\"24\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"74\" y=\"236\" >1</text>\n",
+       "    <text x=\"42\" y=\"28\" >p0</text>\n",
+       "    <text x=\"106\" y=\"28\" >p1</text>\n",
+       "    <text x=\"170\" y=\"28\" >p2</text>\n",
+       "    <line x1=\"0\" y1=\"54\" x2=\"232\" y2=\"54\" class=\"solid\"></line>\n",
+       "    <line x1=\"0\" y1=\"58\" x2=\"232\" y2=\"58\" class=\"solid\"></line>\n",
+       "    <text x=\"50\" y=\"76\" >0</text>\n",
+       "    <text x=\"114\" y=\"76\" >0</text>\n",
+       "    <text x=\"178\" y=\"76\" >0</text>\n",
+       "    <text x=\"138\" y=\"92\" >0</text>\n",
+       "    <text x=\"202\" y=\"92\" >1</text>\n",
+       "    <text x=\"114\" y=\"108\" >1</text>\n",
+       "    <text x=\"202\" y=\"108\" >2</text>\n",
+       "    <text x=\"178\" y=\"124\" >2</text>\n",
+       "    <text x=\"138\" y=\"140\" >0</text>\n",
+       "    <text x=\"202\" y=\"140\" >0</text>\n",
+       "    <text x=\"50\" y=\"156\" >2</text>\n",
+       "    <text x=\"202\" y=\"156\" >2</text>\n",
+       "    <text x=\"178\" y=\"172\" >4</text>\n",
+       "    <text x=\"74\" y=\"188\" >0</text>\n",
+       "    <text x=\"138\" y=\"188\" >1</text>\n",
+       "    <text x=\"202\" y=\"188\" >0</text>\n",
+       "    <text x=\"114\" y=\"204\" >3</text>\n",
+       "    <text x=\"178\" y=\"204\" >5</text>\n",
+       "    <text x=\"114\" y=\"220\" >3</text>\n",
+       "    <text x=\"138\" y=\"236\" >1</text>\n",
+       "    <text x=\"202\" y=\"236\" >0</text>\n",
+       "    <text x=\"50\" y=\"252\" >4</text>\n",
+       "    <text x=\"114\" y=\"252\" >4</text>\n",
+       "    <text x=\"202\" y=\"252\" >1</text>\n",
+       "    <text x=\"202\" y=\"268\" >2</text>\n",
+       "    <text x=\"178\" y=\"284\" >8</text>\n",
+       "    <g>\n",
+       "        <path d=\"M 136,72 A 4,4 0,0,0 132,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"76\" x2=\"132\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"136\" y1=\"72\" x2=\"152\" y2=\"72\" class=\"solid\"></line>\n",
+       "        <path d=\"M 152,72 A 4,4 0,0,1 156,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"76\" x2=\"156\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"96\" y1=\"88\" x2=\"132\" y2=\"88\" class=\"solid\"></line>\n",
+       "        <path d=\"M 132,100 A 4,4 0,0,0 136,104\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"104\" x2=\"152\" y2=\"104\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,100 A 4,4 0,0,1 152,104\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 200,72 A 4,4 0,0,0 196,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"76\" x2=\"196\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"72\" x2=\"216\" y2=\"72\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,72 A 4,4 0,0,1 220,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"76\" x2=\"220\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <line x1=\"156\" y1=\"88\" x2=\"196\" y2=\"88\" class=\"solid\"></line>\n",
+       "        <line x1=\"172\" y1=\"88\" x2=\"172\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <path d=\"M 172,100 A 4,4 0,0,0 176,104\" class=\"nofill\"></path>\n",
+       "        <line x1=\"176\" y1=\"104\" x2=\"196\" y2=\"104\" class=\"solid\"></line>\n",
+       "        <line x1=\"196\" y1=\"120\" x2=\"220\" y2=\"120\" class=\"solid\"></line>\n",
+       "        <line x1=\"196\" y1=\"168\" x2=\"220\" y2=\"168\" class=\"solid\"></line>\n",
+       "        <path d=\"M 196,196 A 4,4 0,0,0 200,200\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"200\" x2=\"216\" y2=\"200\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,196 A 4,4 0,0,1 216,200\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 136,120 A 4,4 0,0,0 132,124\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"124\" x2=\"132\" y2=\"148\" class=\"solid\"></line>\n",
+       "        <line x1=\"136\" y1=\"120\" x2=\"152\" y2=\"120\" class=\"solid\"></line>\n",
+       "        <path d=\"M 152,120 A 4,4 0,0,1 156,124\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"124\" x2=\"156\" y2=\"148\" class=\"solid\"></line>\n",
+       "        <line x1=\"96\" y1=\"136\" x2=\"132\" y2=\"136\" class=\"solid\"></line>\n",
+       "        <line x1=\"108\" y1=\"136\" x2=\"108\" y2=\"180\" class=\"solid\"></line>\n",
+       "        <line x1=\"156\" y1=\"136\" x2=\"196\" y2=\"136\" class=\"solid\"></line>\n",
+       "        <line x1=\"172\" y1=\"136\" x2=\"172\" y2=\"148\" class=\"solid\"></line>\n",
+       "        <path d=\"M 132,148 A 4,4 0,0,0 136,152\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"152\" x2=\"152\" y2=\"152\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,148 A 4,4 0,0,1 152,152\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 172,148 A 4,4 0,0,0 176,152\" class=\"nofill\"></path>\n",
+       "        <line x1=\"176\" y1=\"152\" x2=\"196\" y2=\"152\" class=\"solid\"></line>\n",
+       "        <path d=\"M 108,180 A 4,4 0,0,0 112,184\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 136,168 A 4,4 0,0,0 132,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"172\" x2=\"132\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <line x1=\"136\" y1=\"168\" x2=\"152\" y2=\"168\" class=\"solid\"></line>\n",
+       "        <path d=\"M 152,168 A 4,4 0,0,1 156,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"172\" x2=\"156\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <line x1=\"112\" y1=\"184\" x2=\"132\" y2=\"184\" class=\"solid\"></line>\n",
+       "        <line x1=\"156\" y1=\"184\" x2=\"196\" y2=\"184\" class=\"solid\"></line>\n",
+       "        <path d=\"M 132,196 A 4,4 0,0,0 136,200\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"200\" x2=\"152\" y2=\"200\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,196 A 4,4 0,0,1 152,200\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <line x1=\"32\" y1=\"88\" x2=\"64\" y2=\"88\" class=\"broken\"></line>\n",
+       "        <line x1=\"44\" y1=\"88\" x2=\"44\" y2=\"132\" class=\"broken\"></line>\n",
+       "        <path d=\"M 44,132 A 4,4 0,0,0 48,136\" class=\"nofill\"></path>\n",
+       "        <line x1=\"48\" y1=\"136\" x2=\"64\" y2=\"136\" class=\"broken\"></line>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 72,168 A 4,4 0,0,0 68,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"68\" y1=\"172\" x2=\"68\" y2=\"196\" class=\"broken\"></line>\n",
+       "        <line x1=\"72\" y1=\"168\" x2=\"88\" y2=\"168\" class=\"broken\"></line>\n",
+       "        <path d=\"M 88,168 A 4,4 0,0,1 92,172\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 88,168 A 8,8 0,0,1 94,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"92\" y1=\"172\" x2=\"92\" y2=\"196\" class=\"broken\"></line>\n",
+       "        <line x1=\"94\" y1=\"172\" x2=\"96\" y2=\"176\" class=\"solid\"></line>\n",
+       "        <path d=\"M 96,176 A 16,16 0,0,1 96,192\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 68,196 A 4,4 0,0,0 72,200\" class=\"nofill\"></path>\n",
+       "        <line x1=\"72\" y1=\"200\" x2=\"88\" y2=\"200\" class=\"broken\"></line>\n",
+       "        <line x1=\"96\" y1=\"192\" x2=\"94\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <path d=\"M 92,196 A 4,4 0,0,1 88,200\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 94,196 A 8,8 0,0,1 88,200\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <line x1=\"32\" y1=\"184\" x2=\"64\" y2=\"184\" class=\"broken\"></line>\n",
+       "        <line x1=\"44\" y1=\"184\" x2=\"44\" y2=\"228\" class=\"broken\"></line>\n",
+       "        <path d=\"M 44,228 A 4,4 0,0,0 48,232\" class=\"nofill\"></path>\n",
+       "        <line x1=\"48\" y1=\"232\" x2=\"64\" y2=\"232\" class=\"broken\"></line>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 136,216 A 4,4 0,0,0 132,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"220\" x2=\"132\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <line x1=\"136\" y1=\"216\" x2=\"152\" y2=\"216\" class=\"solid\"></line>\n",
+       "        <path d=\"M 152,216 A 4,4 0,0,1 156,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"220\" x2=\"156\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <line x1=\"96\" y1=\"232\" x2=\"132\" y2=\"232\" class=\"solid\"></line>\n",
+       "        <path d=\"M 132,244 A 4,4 0,0,0 136,248\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"248\" x2=\"152\" y2=\"248\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,244 A 4,4 0,0,1 152,248\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 200,216 A 4,4 0,0,0 196,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"220\" x2=\"196\" y2=\"276\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"216\" x2=\"216\" y2=\"216\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,216 A 4,4 0,0,1 220,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"220\" x2=\"220\" y2=\"276\" class=\"solid\"></line>\n",
+       "        <line x1=\"156\" y1=\"232\" x2=\"196\" y2=\"232\" class=\"solid\"></line>\n",
+       "        <line x1=\"172\" y1=\"232\" x2=\"172\" y2=\"260\" class=\"solid\"></line>\n",
+       "        <line x1=\"172\" y1=\"248\" x2=\"196\" y2=\"248\" class=\"solid\"></line>\n",
+       "        <path d=\"M 172,260 A 4,4 0,0,0 176,264\" class=\"nofill\"></path>\n",
+       "        <line x1=\"176\" y1=\"264\" x2=\"196\" y2=\"264\" class=\"solid\"></line>\n",
+       "        <path d=\"M 196,276 A 4,4 0,0,0 200,280\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"280\" x2=\"216\" y2=\"280\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,276 A 4,4 0,0,1 216,280\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "</svg>"
+      ],
+      "text/plain": [
+       ".~~~.   .~~~.   .---.   .---.\n",
+       "┊i0 ┊p0 ┊i1 ┊p1 |i2 |p2 |i3 |\n",
+       "`~~~'   `~~~'   `---'   `---'\n",
+       "=============================\n",
+       ".~~.  0 .~~.  0 .--.  0 .--.\n",
+       "┊0 ┊~+~~┊0 ┊----|0 |-+--|1 |\n",
+       "`~~' ┊  `~~'  1 `--' `--|2 |\n",
+       "     ┊  .~~.    .--.  2 |--|\n",
+       "     `~~┊1 ┊-+--|0 |-+--|0 |\n",
+       "      2 `~~' |  `--' `--|2 |\n",
+       ".~~.    .~~. |  .--.  4 |--|\n",
+       "┊1 ┊~+~~┊0 ┊)`--|1 |----|0 |\n",
+       "`~~' ┊  `~~'  3 `--'  5 `--'\n",
+       "     ┊  .~~.  3 .--.    .--.\n",
+       "     `~~┊1 ┊----|1 |-+--|0 |\n",
+       "      4 `~~'  4 `--' |--|1 |\n",
+       "                     `--|2 |\n",
+       "                      8 `--'"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "text/markdown": [
+       "# C-DC-S-S"
+      ],
+      "text/plain": [
+       "<IPython.core.display.Markdown object>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "image/svg+xml": [
+       "<svg xmlns=\"http://www.w3.org/2000/svg\" width=\"240\" height=\"464\">\n",
+       "    <style>line, path, circle,rect,polygon {\n",
+       "                          stroke: black;\n",
+       "                          stroke-width: 2;\n",
+       "                          stroke-opacity: 1;\n",
+       "                          fill-opacity: 1;\n",
+       "                          stroke-linecap: round;\n",
+       "                          stroke-linejoin: miter;\n",
+       "                        }\n",
+       "\n",
+       "                    text {\n",
+       "                        /* This fix the spacing bug in svg text*/\n",
+       "                        white-space: pre;\n",
+       "                        fill: black;\n",
+       "                        }\n",
+       "                        rect.backdrop{\n",
+       "                            stroke: none;\n",
+       "                            fill: white;\n",
+       "                        }\n",
+       "                        .broken{\n",
+       "                            stroke-dasharray: 8;\n",
+       "                        }\n",
+       "                        .filled{\n",
+       "                            fill: black;\n",
+       "                        }\n",
+       "                        .bg_filled{\n",
+       "                            fill: white;\n",
+       "                        }\n",
+       "                        .nofill{\n",
+       "                            fill: white;\n",
+       "                        }\n",
+       "\n",
+       "                        text {\n",
+       "                         font-family: monospace;\n",
+       "                         font-size: 14px;\n",
+       "                        }\n",
+       "\n",
+       "                        .end_marked_arrow{\n",
+       "                            marker-end: url(#arrow);\n",
+       "                         }\n",
+       "                        .start_marked_arrow{\n",
+       "                            marker-start: url(#arrow);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_diamond{\n",
+       "                            marker-end: url(#diamond);\n",
+       "                         }\n",
+       "                        .start_marked_diamond{\n",
+       "                            marker-start: url(#diamond);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_circle{\n",
+       "                            marker-end: url(#circle);\n",
+       "                         }\n",
+       "                        .start_marked_circle{\n",
+       "                            marker-start: url(#circle);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_open_circle{\n",
+       "                            marker-end: url(#open_circle);\n",
+       "                         }\n",
+       "                        .start_marked_open_circle{\n",
+       "                            marker-start: url(#open_circle);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_big_open_circle{\n",
+       "                            marker-end: url(#big_open_circle);\n",
+       "                         }\n",
+       "                        .start_marked_big_open_circle{\n",
+       "                            marker-start: url(#big_open_circle);\n",
+       "                         }\n",
+       "\n",
+       "                         \n",
+       "                        </style>\n",
+       "    <defs>\n",
+       "        <marker id=\"arrow\" viewBox=\"-2 -2 8 8\" refX=\"4\" refY=\"2\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <polygon points=\"0,0 0,4 4,2 0,0\"></polygon>\n",
+       "        </marker>\n",
+       "        <marker id=\"diamond\" viewBox=\"-2 -2 8 8\" refX=\"4\" refY=\"2\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <polygon points=\"0,2 2,0 4,2 2,4 0,2\"></polygon>\n",
+       "        </marker>\n",
+       "        <marker id=\"circle\" viewBox=\"0 0 8 8\" refX=\"4\" refY=\"4\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <circle cx=\"4\" cy=\"4\" r=\"2\" class=\"filled\"></circle>\n",
+       "        </marker>\n",
+       "        <marker id=\"open_circle\" viewBox=\"0 0 8 8\" refX=\"4\" refY=\"4\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <circle cx=\"4\" cy=\"4\" r=\"2\" class=\"bg_filled\"></circle>\n",
+       "        </marker>\n",
+       "        <marker id=\"big_open_circle\" viewBox=\"0 0 8 8\" refX=\"4\" refY=\"4\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <circle cx=\"4\" cy=\"4\" r=\"3\" class=\"bg_filled\"></circle>\n",
+       "        </marker>\n",
+       "    </defs>\n",
+       "    <rect x=\"4\" y=\"8\" width=\"32\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"10\" y=\"28\" >i0</text>\n",
+       "    <rect x=\"68\" y=\"8\" width=\"32\" height=\"32\" class=\"solid nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"74\" y=\"28\" >i1</text>\n",
+       "    <rect x=\"132\" y=\"8\" width=\"32\" height=\"32\" class=\"solid nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"138\" y=\"28\" >i2</text>\n",
+       "    <rect x=\"196\" y=\"8\" width=\"32\" height=\"32\" class=\"solid nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"202\" y=\"28\" >i3</text>\n",
+       "    <rect x=\"4\" y=\"72\" width=\"24\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"10\" y=\"92\" >0</text>\n",
+       "    <rect x=\"4\" y=\"312\" width=\"24\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"10\" y=\"332\" >1</text>\n",
+       "    <text x=\"42\" y=\"28\" >p0</text>\n",
+       "    <text x=\"106\" y=\"28\" >p1</text>\n",
+       "    <text x=\"170\" y=\"28\" >p2</text>\n",
+       "    <line x1=\"0\" y1=\"54\" x2=\"232\" y2=\"54\" class=\"solid\"></line>\n",
+       "    <line x1=\"0\" y1=\"58\" x2=\"232\" y2=\"58\" class=\"solid\"></line>\n",
+       "    <text x=\"50\" y=\"76\" >0</text>\n",
+       "    <text x=\"114\" y=\"76\" >0</text>\n",
+       "    <text x=\"178\" y=\"76\" >0</text>\n",
+       "    <text x=\"74\" y=\"92\" >0</text>\n",
+       "    <text x=\"138\" y=\"92\" >0</text>\n",
+       "    <text x=\"202\" y=\"92\" >1</text>\n",
+       "    <text x=\"178\" y=\"108\" >1</text>\n",
+       "    <text x=\"138\" y=\"140\" >0</text>\n",
+       "    <text x=\"202\" y=\"140\" >2</text>\n",
+       "    <text x=\"114\" y=\"156\" >2</text>\n",
+       "    <text x=\"178\" y=\"156\" >2</text>\n",
+       "    <text x=\"74\" y=\"188\" >1</text>\n",
+       "    <text x=\"138\" y=\"188\" >0</text>\n",
+       "    <text x=\"202\" y=\"188\" >0</text>\n",
+       "    <text x=\"50\" y=\"204\" >2</text>\n",
+       "    <text x=\"178\" y=\"204\" >3</text>\n",
+       "    <text x=\"138\" y=\"236\" >0</text>\n",
+       "    <text x=\"202\" y=\"236\" >2</text>\n",
+       "    <text x=\"178\" y=\"252\" >4</text>\n",
+       "    <text x=\"138\" y=\"284\" >1</text>\n",
+       "    <text x=\"202\" y=\"284\" >0</text>\n",
+       "    <text x=\"114\" y=\"300\" >5</text>\n",
+       "    <text x=\"178\" y=\"300\" >5</text>\n",
+       "    <text x=\"74\" y=\"332\" >1</text>\n",
+       "    <text x=\"138\" y=\"332\" >1</text>\n",
+       "    <text x=\"202\" y=\"332\" >0</text>\n",
+       "    <text x=\"50\" y=\"348\" >3</text>\n",
+       "    <text x=\"178\" y=\"348\" >6</text>\n",
+       "    <text x=\"138\" y=\"380\" >1</text>\n",
+       "    <text x=\"202\" y=\"380\" >1</text>\n",
+       "    <text x=\"178\" y=\"396\" >7</text>\n",
+       "    <text x=\"138\" y=\"428\" >1</text>\n",
+       "    <text x=\"202\" y=\"428\" >2</text>\n",
+       "    <text x=\"114\" y=\"444\" >8</text>\n",
+       "    <text x=\"178\" y=\"444\" >8</text>\n",
+       "    <g>\n",
+       "        <path d=\"M 72,72 A 4,4 0,0,0 68,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"68\" y1=\"76\" x2=\"68\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"72\" y1=\"72\" x2=\"88\" y2=\"72\" class=\"solid\"></line>\n",
+       "        <path d=\"M 88,72 A 4,4 0,0,1 92,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"92\" y1=\"76\" x2=\"92\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"32\" y1=\"88\" x2=\"68\" y2=\"88\" class=\"solid\"></line>\n",
+       "        <line x1=\"44\" y1=\"88\" x2=\"44\" y2=\"180\" class=\"solid\"></line>\n",
+       "        <path d=\"M 68,100 A 4,4 0,0,0 72,104\" class=\"nofill\"></path>\n",
+       "        <line x1=\"72\" y1=\"104\" x2=\"88\" y2=\"104\" class=\"solid\"></line>\n",
+       "        <path d=\"M 92,100 A 4,4 0,0,1 88,104\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 44,180 A 4,4 0,0,0 48,184\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 136,72 A 4,4 0,0,0 132,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"76\" x2=\"132\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"136\" y1=\"72\" x2=\"152\" y2=\"72\" class=\"solid\"></line>\n",
+       "        <path d=\"M 152,72 A 4,4 0,0,1 156,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"76\" x2=\"156\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"92\" y1=\"88\" x2=\"132\" y2=\"88\" class=\"solid\"></line>\n",
+       "        <line x1=\"108\" y1=\"88\" x2=\"108\" y2=\"132\" class=\"solid\"></line>\n",
+       "        <path d=\"M 132,100 A 4,4 0,0,0 136,104\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"104\" x2=\"152\" y2=\"104\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,100 A 4,4 0,0,1 152,104\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 108,132 A 4,4 0,0,0 112,136\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 200,72 A 4,4 0,0,0 196,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"76\" x2=\"196\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"72\" x2=\"216\" y2=\"72\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,72 A 4,4 0,0,1 220,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"76\" x2=\"220\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"156\" y1=\"88\" x2=\"196\" y2=\"88\" class=\"broken\"></line>\n",
+       "        <path d=\"M 196,100 A 4,4 0,0,0 200,104\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"104\" x2=\"216\" y2=\"104\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,100 A 4,4 0,0,1 216,104\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 136,120 A 4,4 0,0,0 132,124\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"124\" x2=\"132\" y2=\"148\" class=\"solid\"></line>\n",
+       "        <line x1=\"136\" y1=\"120\" x2=\"152\" y2=\"120\" class=\"solid\"></line>\n",
+       "        <path d=\"M 152,120 A 4,4 0,0,1 156,124\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"124\" x2=\"156\" y2=\"148\" class=\"solid\"></line>\n",
+       "        <line x1=\"112\" y1=\"136\" x2=\"132\" y2=\"136\" class=\"solid\"></line>\n",
+       "        <path d=\"M 132,148 A 4,4 0,0,0 136,152\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"152\" x2=\"152\" y2=\"152\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,148 A 4,4 0,0,1 152,152\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 200,120 A 4,4 0,0,0 196,124\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"124\" x2=\"196\" y2=\"148\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"120\" x2=\"216\" y2=\"120\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,120 A 4,4 0,0,1 220,124\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"124\" x2=\"220\" y2=\"148\" class=\"solid\"></line>\n",
+       "        <line x1=\"156\" y1=\"136\" x2=\"196\" y2=\"136\" class=\"broken\"></line>\n",
+       "        <path d=\"M 196,148 A 4,4 0,0,0 200,152\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"152\" x2=\"216\" y2=\"152\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,148 A 4,4 0,0,1 216,152\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 72,168 A 4,4 0,0,0 68,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"68\" y1=\"172\" x2=\"68\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <line x1=\"72\" y1=\"168\" x2=\"88\" y2=\"168\" class=\"solid\"></line>\n",
+       "        <path d=\"M 88,168 A 4,4 0,0,1 92,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"92\" y1=\"172\" x2=\"92\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <line x1=\"48\" y1=\"184\" x2=\"68\" y2=\"184\" class=\"solid\"></line>\n",
+       "        <path d=\"M 68,196 A 4,4 0,0,0 72,200\" class=\"nofill\"></path>\n",
+       "        <line x1=\"72\" y1=\"200\" x2=\"88\" y2=\"200\" class=\"solid\"></line>\n",
+       "        <path d=\"M 92,196 A 4,4 0,0,1 88,200\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 136,168 A 4,4 0,0,0 132,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"172\" x2=\"132\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <line x1=\"136\" y1=\"168\" x2=\"152\" y2=\"168\" class=\"solid\"></line>\n",
+       "        <path d=\"M 152,168 A 4,4 0,0,1 156,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"172\" x2=\"156\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <line x1=\"92\" y1=\"184\" x2=\"132\" y2=\"184\" class=\"solid\"></line>\n",
+       "        <line x1=\"108\" y1=\"184\" x2=\"108\" y2=\"276\" class=\"solid\"></line>\n",
+       "        <path d=\"M 132,196 A 4,4 0,0,0 136,200\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"200\" x2=\"152\" y2=\"200\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,196 A 4,4 0,0,1 152,200\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 108,276 A 4,4 0,0,0 112,280\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 200,168 A 4,4 0,0,0 196,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"172\" x2=\"196\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"168\" x2=\"216\" y2=\"168\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,168 A 4,4 0,0,1 220,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"172\" x2=\"220\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <line x1=\"156\" y1=\"184\" x2=\"196\" y2=\"184\" class=\"broken\"></line>\n",
+       "        <path d=\"M 196,196 A 4,4 0,0,0 200,200\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"200\" x2=\"216\" y2=\"200\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,196 A 4,4 0,0,1 216,200\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 136,216 A 4,4 0,0,0 132,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"220\" x2=\"132\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <line x1=\"136\" y1=\"216\" x2=\"152\" y2=\"216\" class=\"solid\"></line>\n",
+       "        <path d=\"M 152,216 A 4,4 0,0,1 156,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"220\" x2=\"156\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <line x1=\"108\" y1=\"232\" x2=\"132\" y2=\"232\" class=\"solid\"></line>\n",
+       "        <path d=\"M 132,244 A 4,4 0,0,0 136,248\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"248\" x2=\"152\" y2=\"248\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,244 A 4,4 0,0,1 152,248\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 200,216 A 4,4 0,0,0 196,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"220\" x2=\"196\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"216\" x2=\"216\" y2=\"216\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,216 A 4,4 0,0,1 220,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"220\" x2=\"220\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <line x1=\"156\" y1=\"232\" x2=\"196\" y2=\"232\" class=\"broken\"></line>\n",
+       "        <path d=\"M 196,244 A 4,4 0,0,0 200,248\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"248\" x2=\"216\" y2=\"248\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,244 A 4,4 0,0,1 216,248\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 136,264 A 4,4 0,0,0 132,268\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"268\" x2=\"132\" y2=\"292\" class=\"solid\"></line>\n",
+       "        <line x1=\"136\" y1=\"264\" x2=\"152\" y2=\"264\" class=\"solid\"></line>\n",
+       "        <path d=\"M 152,264 A 4,4 0,0,1 156,268\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"268\" x2=\"156\" y2=\"292\" class=\"solid\"></line>\n",
+       "        <line x1=\"112\" y1=\"280\" x2=\"132\" y2=\"280\" class=\"solid\"></line>\n",
+       "        <path d=\"M 132,292 A 4,4 0,0,0 136,296\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"296\" x2=\"152\" y2=\"296\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,292 A 4,4 0,0,1 152,296\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 200,264 A 4,4 0,0,0 196,268\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"268\" x2=\"196\" y2=\"292\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"264\" x2=\"216\" y2=\"264\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,264 A 4,4 0,0,1 220,268\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"268\" x2=\"220\" y2=\"292\" class=\"solid\"></line>\n",
+       "        <line x1=\"156\" y1=\"280\" x2=\"196\" y2=\"280\" class=\"broken\"></line>\n",
+       "        <path d=\"M 196,292 A 4,4 0,0,0 200,296\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"296\" x2=\"216\" y2=\"296\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,292 A 4,4 0,0,1 216,296\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 72,312 A 4,4 0,0,0 68,316\" class=\"nofill\"></path>\n",
+       "        <line x1=\"68\" y1=\"316\" x2=\"68\" y2=\"340\" class=\"solid\"></line>\n",
+       "        <line x1=\"72\" y1=\"312\" x2=\"88\" y2=\"312\" class=\"solid\"></line>\n",
+       "        <path d=\"M 88,312 A 4,4 0,0,1 92,316\" class=\"nofill\"></path>\n",
+       "        <line x1=\"92\" y1=\"316\" x2=\"92\" y2=\"340\" class=\"solid\"></line>\n",
+       "        <line x1=\"32\" y1=\"328\" x2=\"68\" y2=\"328\" class=\"solid\"></line>\n",
+       "        <path d=\"M 68,340 A 4,4 0,0,0 72,344\" class=\"nofill\"></path>\n",
+       "        <line x1=\"72\" y1=\"344\" x2=\"88\" y2=\"344\" class=\"solid\"></line>\n",
+       "        <path d=\"M 92,340 A 4,4 0,0,1 88,344\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 136,312 A 4,4 0,0,0 132,316\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"316\" x2=\"132\" y2=\"340\" class=\"solid\"></line>\n",
+       "        <line x1=\"136\" y1=\"312\" x2=\"152\" y2=\"312\" class=\"solid\"></line>\n",
+       "        <path d=\"M 152,312 A 4,4 0,0,1 156,316\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"316\" x2=\"156\" y2=\"340\" class=\"solid\"></line>\n",
+       "        <line x1=\"92\" y1=\"328\" x2=\"132\" y2=\"328\" class=\"solid\"></line>\n",
+       "        <line x1=\"108\" y1=\"328\" x2=\"108\" y2=\"420\" class=\"solid\"></line>\n",
+       "        <path d=\"M 132,340 A 4,4 0,0,0 136,344\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"344\" x2=\"152\" y2=\"344\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,340 A 4,4 0,0,1 152,344\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 108,420 A 4,4 0,0,0 112,424\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 200,312 A 4,4 0,0,0 196,316\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"316\" x2=\"196\" y2=\"340\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"312\" x2=\"216\" y2=\"312\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,312 A 4,4 0,0,1 220,316\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"316\" x2=\"220\" y2=\"340\" class=\"solid\"></line>\n",
+       "        <line x1=\"156\" y1=\"328\" x2=\"196\" y2=\"328\" class=\"broken\"></line>\n",
+       "        <path d=\"M 196,340 A 4,4 0,0,0 200,344\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"344\" x2=\"216\" y2=\"344\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,340 A 4,4 0,0,1 216,344\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 136,360 A 4,4 0,0,0 132,364\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"364\" x2=\"132\" y2=\"388\" class=\"solid\"></line>\n",
+       "        <line x1=\"136\" y1=\"360\" x2=\"152\" y2=\"360\" class=\"solid\"></line>\n",
+       "        <path d=\"M 152,360 A 4,4 0,0,1 156,364\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"364\" x2=\"156\" y2=\"388\" class=\"solid\"></line>\n",
+       "        <line x1=\"108\" y1=\"376\" x2=\"132\" y2=\"376\" class=\"solid\"></line>\n",
+       "        <path d=\"M 132,388 A 4,4 0,0,0 136,392\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"392\" x2=\"152\" y2=\"392\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,388 A 4,4 0,0,1 152,392\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 200,360 A 4,4 0,0,0 196,364\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"364\" x2=\"196\" y2=\"388\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"360\" x2=\"216\" y2=\"360\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,360 A 4,4 0,0,1 220,364\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"364\" x2=\"220\" y2=\"388\" class=\"solid\"></line>\n",
+       "        <line x1=\"156\" y1=\"376\" x2=\"196\" y2=\"376\" class=\"broken\"></line>\n",
+       "        <path d=\"M 196,388 A 4,4 0,0,0 200,392\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"392\" x2=\"216\" y2=\"392\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,388 A 4,4 0,0,1 216,392\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 136,408 A 4,4 0,0,0 132,412\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"412\" x2=\"132\" y2=\"436\" class=\"solid\"></line>\n",
+       "        <line x1=\"136\" y1=\"408\" x2=\"152\" y2=\"408\" class=\"solid\"></line>\n",
+       "        <path d=\"M 152,408 A 4,4 0,0,1 156,412\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"412\" x2=\"156\" y2=\"436\" class=\"solid\"></line>\n",
+       "        <line x1=\"112\" y1=\"424\" x2=\"132\" y2=\"424\" class=\"solid\"></line>\n",
+       "        <path d=\"M 132,436 A 4,4 0,0,0 136,440\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"440\" x2=\"152\" y2=\"440\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,436 A 4,4 0,0,1 152,440\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 200,408 A 4,4 0,0,0 196,412\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"412\" x2=\"196\" y2=\"436\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"408\" x2=\"216\" y2=\"408\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,408 A 4,4 0,0,1 220,412\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"412\" x2=\"220\" y2=\"436\" class=\"solid\"></line>\n",
+       "        <line x1=\"156\" y1=\"424\" x2=\"196\" y2=\"424\" class=\"broken\"></line>\n",
+       "        <path d=\"M 196,436 A 4,4 0,0,0 200,440\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"440\" x2=\"216\" y2=\"440\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,436 A 4,4 0,0,1 216,440\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "</svg>"
+      ],
+      "text/plain": [
+       ".~~~.   .---.   .---.   .---.\n",
+       "┊i0 ┊p0 |i1 |p1 |i2 |p2 |i3 |\n",
+       "`~~~'   `---'   `---'   `---'\n",
+       "=============================\n",
+       ".~~.  0 .--.  0 .--.  0 .--.\n",
+       "┊0 ┊-+--|0 |-+--|0 |~~~~|1 |\n",
+       "`~~' |  `--' |  `--'  1 `--'\n",
+       "     |       |  .--.    .--.\n",
+       "     |       `--|0 |~~~~|2 |\n",
+       "     |        2 `--'  2 `--'\n",
+       "     |  .--.    .--.    .--.\n",
+       "     `--|1 |-+--|0 |~~~~|0 |\n",
+       "      2 `--' |  `--'  3 `--'\n",
+       "             |  .--.    .--.\n",
+       "             |--|0 |~~~~|2 |\n",
+       "             |  `--'  4 `--'\n",
+       "             |  .--.    .--.\n",
+       "             `--|1 |~~~~|0 |\n",
+       "              5 `--'  5 `--'\n",
+       ".~~.    .--.    .--.    .--.\n",
+       "┊1 ┊----|1 |-+--|1 |~~~~|0 |\n",
+       "`~~'  3 `--' |  `--'  6 `--'\n",
+       "             |  .--.    .--.\n",
+       "             |--|1 |~~~~|1 |\n",
+       "             |  `--'  7 `--'\n",
+       "             |  .--.    .--.\n",
+       "             `--|1 |~~~~|2 |\n",
+       "              8 `--'  8 `--'"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "text/markdown": [
+       "# C-DC-C-S"
+      ],
+      "text/plain": [
+       "<IPython.core.display.Markdown object>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "image/svg+xml": [
+       "<svg xmlns=\"http://www.w3.org/2000/svg\" width=\"240\" height=\"400\">\n",
+       "    <style>line, path, circle,rect,polygon {\n",
+       "                          stroke: black;\n",
+       "                          stroke-width: 2;\n",
+       "                          stroke-opacity: 1;\n",
+       "                          fill-opacity: 1;\n",
+       "                          stroke-linecap: round;\n",
+       "                          stroke-linejoin: miter;\n",
+       "                        }\n",
+       "\n",
+       "                    text {\n",
+       "                        /* This fix the spacing bug in svg text*/\n",
+       "                        white-space: pre;\n",
+       "                        fill: black;\n",
+       "                        }\n",
+       "                        rect.backdrop{\n",
+       "                            stroke: none;\n",
+       "                            fill: white;\n",
+       "                        }\n",
+       "                        .broken{\n",
+       "                            stroke-dasharray: 8;\n",
+       "                        }\n",
+       "                        .filled{\n",
+       "                            fill: black;\n",
+       "                        }\n",
+       "                        .bg_filled{\n",
+       "                            fill: white;\n",
+       "                        }\n",
+       "                        .nofill{\n",
+       "                            fill: white;\n",
+       "                        }\n",
+       "\n",
+       "                        text {\n",
+       "                         font-family: monospace;\n",
+       "                         font-size: 14px;\n",
+       "                        }\n",
+       "\n",
+       "                        .end_marked_arrow{\n",
+       "                            marker-end: url(#arrow);\n",
+       "                         }\n",
+       "                        .start_marked_arrow{\n",
+       "                            marker-start: url(#arrow);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_diamond{\n",
+       "                            marker-end: url(#diamond);\n",
+       "                         }\n",
+       "                        .start_marked_diamond{\n",
+       "                            marker-start: url(#diamond);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_circle{\n",
+       "                            marker-end: url(#circle);\n",
+       "                         }\n",
+       "                        .start_marked_circle{\n",
+       "                            marker-start: url(#circle);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_open_circle{\n",
+       "                            marker-end: url(#open_circle);\n",
+       "                         }\n",
+       "                        .start_marked_open_circle{\n",
+       "                            marker-start: url(#open_circle);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_big_open_circle{\n",
+       "                            marker-end: url(#big_open_circle);\n",
+       "                         }\n",
+       "                        .start_marked_big_open_circle{\n",
+       "                            marker-start: url(#big_open_circle);\n",
+       "                         }\n",
+       "\n",
+       "                         \n",
+       "                        </style>\n",
+       "    <defs>\n",
+       "        <marker id=\"arrow\" viewBox=\"-2 -2 8 8\" refX=\"4\" refY=\"2\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <polygon points=\"0,0 0,4 4,2 0,0\"></polygon>\n",
+       "        </marker>\n",
+       "        <marker id=\"diamond\" viewBox=\"-2 -2 8 8\" refX=\"4\" refY=\"2\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <polygon points=\"0,2 2,0 4,2 2,4 0,2\"></polygon>\n",
+       "        </marker>\n",
+       "        <marker id=\"circle\" viewBox=\"0 0 8 8\" refX=\"4\" refY=\"4\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <circle cx=\"4\" cy=\"4\" r=\"2\" class=\"filled\"></circle>\n",
+       "        </marker>\n",
+       "        <marker id=\"open_circle\" viewBox=\"0 0 8 8\" refX=\"4\" refY=\"4\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <circle cx=\"4\" cy=\"4\" r=\"2\" class=\"bg_filled\"></circle>\n",
+       "        </marker>\n",
+       "        <marker id=\"big_open_circle\" viewBox=\"0 0 8 8\" refX=\"4\" refY=\"4\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <circle cx=\"4\" cy=\"4\" r=\"3\" class=\"bg_filled\"></circle>\n",
+       "        </marker>\n",
+       "    </defs>\n",
+       "    <rect x=\"4\" y=\"8\" width=\"32\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"10\" y=\"28\" >i0</text>\n",
+       "    <rect x=\"68\" y=\"8\" width=\"32\" height=\"32\" class=\"solid nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"74\" y=\"28\" >i1</text>\n",
+       "    <rect x=\"132\" y=\"8\" width=\"32\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"138\" y=\"28\" >i2</text>\n",
+       "    <rect x=\"196\" y=\"8\" width=\"32\" height=\"32\" class=\"solid nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"202\" y=\"28\" >i3</text>\n",
+       "    <rect x=\"4\" y=\"72\" width=\"24\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"10\" y=\"92\" >0</text>\n",
+       "    <rect x=\"132\" y=\"72\" width=\"24\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"138\" y=\"92\" >0</text>\n",
+       "    <rect x=\"132\" y=\"168\" width=\"24\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"138\" y=\"188\" >0</text>\n",
+       "    <rect x=\"132\" y=\"216\" width=\"24\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"138\" y=\"236\" >1</text>\n",
+       "    <rect x=\"4\" y=\"264\" width=\"24\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"10\" y=\"284\" >1</text>\n",
+       "    <rect x=\"132\" y=\"312\" width=\"24\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"138\" y=\"332\" >1</text>\n",
+       "    <text x=\"42\" y=\"28\" >p0</text>\n",
+       "    <text x=\"106\" y=\"28\" >p1</text>\n",
+       "    <text x=\"170\" y=\"28\" >p2</text>\n",
+       "    <line x1=\"0\" y1=\"54\" x2=\"232\" y2=\"54\" class=\"solid\"></line>\n",
+       "    <line x1=\"0\" y1=\"58\" x2=\"232\" y2=\"58\" class=\"solid\"></line>\n",
+       "    <text x=\"50\" y=\"76\" >0</text>\n",
+       "    <text x=\"114\" y=\"76\" >0</text>\n",
+       "    <text x=\"178\" y=\"76\" >0</text>\n",
+       "    <text x=\"74\" y=\"92\" >0</text>\n",
+       "    <text x=\"202\" y=\"92\" >1</text>\n",
+       "    <text x=\"202\" y=\"108\" >2</text>\n",
+       "    <text x=\"178\" y=\"124\" >2</text>\n",
+       "    <text x=\"138\" y=\"140\" >1</text>\n",
+       "    <text x=\"114\" y=\"156\" >2</text>\n",
+       "    <text x=\"178\" y=\"172\" >2</text>\n",
+       "    <text x=\"74\" y=\"188\" >1</text>\n",
+       "    <text x=\"202\" y=\"188\" >0</text>\n",
+       "    <text x=\"50\" y=\"204\" >2</text>\n",
+       "    <text x=\"202\" y=\"204\" >2</text>\n",
+       "    <text x=\"178\" y=\"220\" >4</text>\n",
+       "    <text x=\"202\" y=\"236\" >0</text>\n",
+       "    <text x=\"114\" y=\"252\" >4</text>\n",
+       "    <text x=\"178\" y=\"252\" >5</text>\n",
+       "    <text x=\"74\" y=\"284\" >1</text>\n",
+       "    <text x=\"138\" y=\"284\" >0</text>\n",
+       "    <text x=\"50\" y=\"300\" >3</text>\n",
+       "    <text x=\"178\" y=\"316\" >5</text>\n",
+       "    <text x=\"202\" y=\"332\" >0</text>\n",
+       "    <text x=\"114\" y=\"348\" >6</text>\n",
+       "    <text x=\"202\" y=\"348\" >1</text>\n",
+       "    <text x=\"202\" y=\"364\" >2</text>\n",
+       "    <text x=\"178\" y=\"380\" >8</text>\n",
+       "    <g>\n",
+       "        <path d=\"M 72,72 A 4,4 0,0,0 68,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"68\" y1=\"76\" x2=\"68\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"72\" y1=\"72\" x2=\"88\" y2=\"72\" class=\"solid\"></line>\n",
+       "        <path d=\"M 88,72 A 4,4 0,0,1 92,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"92\" y1=\"76\" x2=\"92\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"32\" y1=\"88\" x2=\"68\" y2=\"88\" class=\"solid\"></line>\n",
+       "        <line x1=\"44\" y1=\"88\" x2=\"44\" y2=\"180\" class=\"solid\"></line>\n",
+       "        <line x1=\"92\" y1=\"88\" x2=\"128\" y2=\"88\" class=\"broken\"></line>\n",
+       "        <line x1=\"108\" y1=\"88\" x2=\"108\" y2=\"132\" class=\"broken\"></line>\n",
+       "        <path d=\"M 68,100 A 4,4 0,0,0 72,104\" class=\"nofill\"></path>\n",
+       "        <line x1=\"72\" y1=\"104\" x2=\"88\" y2=\"104\" class=\"solid\"></line>\n",
+       "        <path d=\"M 92,100 A 4,4 0,0,1 88,104\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 108,132 A 4,4 0,0,0 112,136\" class=\"nofill\"></path>\n",
+       "        <line x1=\"112\" y1=\"136\" x2=\"128\" y2=\"136\" class=\"broken\"></line>\n",
+       "        <path d=\"M 44,180 A 4,4 0,0,0 48,184\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 72,168 A 4,4 0,0,0 68,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"68\" y1=\"172\" x2=\"68\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <line x1=\"72\" y1=\"168\" x2=\"88\" y2=\"168\" class=\"solid\"></line>\n",
+       "        <path d=\"M 88,168 A 4,4 0,0,1 92,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"92\" y1=\"172\" x2=\"92\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <line x1=\"48\" y1=\"184\" x2=\"68\" y2=\"184\" class=\"solid\"></line>\n",
+       "        <line x1=\"92\" y1=\"184\" x2=\"128\" y2=\"184\" class=\"broken\"></line>\n",
+       "        <line x1=\"108\" y1=\"184\" x2=\"108\" y2=\"228\" class=\"broken\"></line>\n",
+       "        <path d=\"M 68,196 A 4,4 0,0,0 72,200\" class=\"nofill\"></path>\n",
+       "        <line x1=\"72\" y1=\"200\" x2=\"88\" y2=\"200\" class=\"solid\"></line>\n",
+       "        <path d=\"M 92,196 A 4,4 0,0,1 88,200\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 108,228 A 4,4 0,0,0 112,232\" class=\"nofill\"></path>\n",
+       "        <line x1=\"112\" y1=\"232\" x2=\"128\" y2=\"232\" class=\"broken\"></line>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 200,72 A 4,4 0,0,0 196,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"76\" x2=\"196\" y2=\"116\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"72\" x2=\"216\" y2=\"72\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,72 A 4,4 0,0,1 220,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"76\" x2=\"220\" y2=\"116\" class=\"solid\"></line>\n",
+       "        <line x1=\"160\" y1=\"88\" x2=\"196\" y2=\"88\" class=\"solid\"></line>\n",
+       "        <line x1=\"172\" y1=\"88\" x2=\"172\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <path d=\"M 172,100 A 4,4 0,0,0 176,104\" class=\"nofill\"></path>\n",
+       "        <line x1=\"176\" y1=\"104\" x2=\"196\" y2=\"104\" class=\"solid\"></line>\n",
+       "        <path d=\"M 196,116 A 4,4 0,0,0 200,120\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"120\" x2=\"216\" y2=\"120\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,116 A 4,4 0,0,1 216,120\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 136,120 A 4,4 0,0,0 132,124\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"124\" x2=\"132\" y2=\"148\" class=\"broken\"></line>\n",
+       "        <line x1=\"136\" y1=\"120\" x2=\"152\" y2=\"120\" class=\"broken\"></line>\n",
+       "        <path d=\"M 152,120 A 4,4 0,0,1 156,124\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 152,120 A 8,8 0,0,1 158,124\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"124\" x2=\"156\" y2=\"148\" class=\"broken\"></line>\n",
+       "        <line x1=\"158\" y1=\"124\" x2=\"160\" y2=\"128\" class=\"solid\"></line>\n",
+       "        <path d=\"M 160,128 A 16,16 0,0,1 160,144\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 132,148 A 4,4 0,0,0 136,152\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"152\" x2=\"152\" y2=\"152\" class=\"broken\"></line>\n",
+       "        <line x1=\"160\" y1=\"144\" x2=\"158\" y2=\"148\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,148 A 4,4 0,0,1 152,152\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 158,148 A 8,8 0,0,1 152,152\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 200,168 A 4,4 0,0,0 196,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"172\" x2=\"196\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"168\" x2=\"216\" y2=\"168\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,168 A 4,4 0,0,1 220,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"172\" x2=\"220\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <line x1=\"160\" y1=\"184\" x2=\"196\" y2=\"184\" class=\"solid\"></line>\n",
+       "        <line x1=\"172\" y1=\"184\" x2=\"172\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <path d=\"M 172,196 A 4,4 0,0,0 176,200\" class=\"nofill\"></path>\n",
+       "        <line x1=\"176\" y1=\"200\" x2=\"196\" y2=\"200\" class=\"solid\"></line>\n",
+       "        <line x1=\"196\" y1=\"216\" x2=\"220\" y2=\"216\" class=\"solid\"></line>\n",
+       "        <line x1=\"160\" y1=\"232\" x2=\"196\" y2=\"232\" class=\"solid\"></line>\n",
+       "        <path d=\"M 196,244 A 4,4 0,0,0 200,248\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"248\" x2=\"216\" y2=\"248\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,244 A 4,4 0,0,1 216,248\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 72,264 A 4,4 0,0,0 68,268\" class=\"nofill\"></path>\n",
+       "        <line x1=\"68\" y1=\"268\" x2=\"68\" y2=\"292\" class=\"solid\"></line>\n",
+       "        <line x1=\"72\" y1=\"264\" x2=\"88\" y2=\"264\" class=\"solid\"></line>\n",
+       "        <path d=\"M 88,264 A 4,4 0,0,1 92,268\" class=\"nofill\"></path>\n",
+       "        <line x1=\"92\" y1=\"268\" x2=\"92\" y2=\"292\" class=\"solid\"></line>\n",
+       "        <line x1=\"32\" y1=\"280\" x2=\"68\" y2=\"280\" class=\"solid\"></line>\n",
+       "        <line x1=\"92\" y1=\"280\" x2=\"128\" y2=\"280\" class=\"broken\"></line>\n",
+       "        <line x1=\"108\" y1=\"280\" x2=\"108\" y2=\"324\" class=\"broken\"></line>\n",
+       "        <path d=\"M 68,292 A 4,4 0,0,0 72,296\" class=\"nofill\"></path>\n",
+       "        <line x1=\"72\" y1=\"296\" x2=\"88\" y2=\"296\" class=\"solid\"></line>\n",
+       "        <path d=\"M 92,292 A 4,4 0,0,1 88,296\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 108,324 A 4,4 0,0,0 112,328\" class=\"nofill\"></path>\n",
+       "        <line x1=\"112\" y1=\"328\" x2=\"128\" y2=\"328\" class=\"broken\"></line>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 136,264 A 4,4 0,0,0 132,268\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"268\" x2=\"132\" y2=\"292\" class=\"broken\"></line>\n",
+       "        <line x1=\"136\" y1=\"264\" x2=\"152\" y2=\"264\" class=\"broken\"></line>\n",
+       "        <path d=\"M 152,264 A 4,4 0,0,1 156,268\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 152,264 A 8,8 0,0,1 158,268\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"268\" x2=\"156\" y2=\"292\" class=\"broken\"></line>\n",
+       "        <line x1=\"158\" y1=\"268\" x2=\"160\" y2=\"272\" class=\"solid\"></line>\n",
+       "        <path d=\"M 160,272 A 16,16 0,0,1 160,288\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 132,292 A 4,4 0,0,0 136,296\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"296\" x2=\"152\" y2=\"296\" class=\"broken\"></line>\n",
+       "        <line x1=\"160\" y1=\"288\" x2=\"158\" y2=\"292\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,292 A 4,4 0,0,1 152,296\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 158,292 A 8,8 0,0,1 152,296\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 200,312 A 4,4 0,0,0 196,316\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"316\" x2=\"196\" y2=\"372\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"312\" x2=\"216\" y2=\"312\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,312 A 4,4 0,0,1 220,316\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"316\" x2=\"220\" y2=\"372\" class=\"solid\"></line>\n",
+       "        <line x1=\"160\" y1=\"328\" x2=\"196\" y2=\"328\" class=\"solid\"></line>\n",
+       "        <line x1=\"172\" y1=\"328\" x2=\"172\" y2=\"356\" class=\"solid\"></line>\n",
+       "        <line x1=\"172\" y1=\"344\" x2=\"196\" y2=\"344\" class=\"solid\"></line>\n",
+       "        <path d=\"M 172,356 A 4,4 0,0,0 176,360\" class=\"nofill\"></path>\n",
+       "        <line x1=\"176\" y1=\"360\" x2=\"196\" y2=\"360\" class=\"solid\"></line>\n",
+       "        <path d=\"M 196,372 A 4,4 0,0,0 200,376\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"376\" x2=\"216\" y2=\"376\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,372 A 4,4 0,0,1 216,376\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "</svg>"
+      ],
+      "text/plain": [
+       ".~~~.   .---.   .~~~.   .---.\n",
+       "┊i0 ┊p0 |i1 |p1 ┊i2 ┊p2 |i3 |\n",
+       "`~~~'   `---'   `~~~'   `---'\n",
+       "=============================\n",
+       ".~~.  0 .--.  0 .~~.  0 .--.\n",
+       "┊0 ┊-+--|0 |~+~~┊0 ┊-+--|1 |\n",
+       "`~~' |  `--' ┊  `~~' `--|2 |\n",
+       "     |       ┊  .~~.  2 `--'\n",
+       "     |       `~~┊1 ┊)\n",
+       "     |        2 `~~'\n",
+       "     |  .--.    .~~.  2 .--.\n",
+       "     `--|1 |~+~~┊0 ┊-+--|0 |\n",
+       "      2 `--' ┊  `~~' `--|2 |\n",
+       "             ┊  .~~.  4 |--|\n",
+       "             `~~┊1 ┊----|0 |\n",
+       "              4 `~~'  5 `--'\n",
+       ".~~.    .--.    .~~.\n",
+       "┊1 ┊----|1 |~+~~┊0 ┊)\n",
+       "`~~'  3 `--' ┊  `~~'\n",
+       "             ┊  .~~.  5 .--.\n",
+       "             `~~┊1 ┊-+--|0 |\n",
+       "              6 `~~' |--|1 |\n",
+       "                     `--|2 |\n",
+       "                      8 `--'"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "text/markdown": [
+       "# C-DC-DC-S"
+      ],
+      "text/plain": [
+       "<IPython.core.display.Markdown object>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "image/svg+xml": [
+       "<svg xmlns=\"http://www.w3.org/2000/svg\" width=\"240\" height=\"304\">\n",
+       "    <style>line, path, circle,rect,polygon {\n",
+       "                          stroke: black;\n",
+       "                          stroke-width: 2;\n",
+       "                          stroke-opacity: 1;\n",
+       "                          fill-opacity: 1;\n",
+       "                          stroke-linecap: round;\n",
+       "                          stroke-linejoin: miter;\n",
+       "                        }\n",
+       "\n",
+       "                    text {\n",
+       "                        /* This fix the spacing bug in svg text*/\n",
+       "                        white-space: pre;\n",
+       "                        fill: black;\n",
+       "                        }\n",
+       "                        rect.backdrop{\n",
+       "                            stroke: none;\n",
+       "                            fill: white;\n",
+       "                        }\n",
+       "                        .broken{\n",
+       "                            stroke-dasharray: 8;\n",
+       "                        }\n",
+       "                        .filled{\n",
+       "                            fill: black;\n",
+       "                        }\n",
+       "                        .bg_filled{\n",
+       "                            fill: white;\n",
+       "                        }\n",
+       "                        .nofill{\n",
+       "                            fill: white;\n",
+       "                        }\n",
+       "\n",
+       "                        text {\n",
+       "                         font-family: monospace;\n",
+       "                         font-size: 14px;\n",
+       "                        }\n",
+       "\n",
+       "                        .end_marked_arrow{\n",
+       "                            marker-end: url(#arrow);\n",
+       "                         }\n",
+       "                        .start_marked_arrow{\n",
+       "                            marker-start: url(#arrow);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_diamond{\n",
+       "                            marker-end: url(#diamond);\n",
+       "                         }\n",
+       "                        .start_marked_diamond{\n",
+       "                            marker-start: url(#diamond);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_circle{\n",
+       "                            marker-end: url(#circle);\n",
+       "                         }\n",
+       "                        .start_marked_circle{\n",
+       "                            marker-start: url(#circle);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_open_circle{\n",
+       "                            marker-end: url(#open_circle);\n",
+       "                         }\n",
+       "                        .start_marked_open_circle{\n",
+       "                            marker-start: url(#open_circle);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_big_open_circle{\n",
+       "                            marker-end: url(#big_open_circle);\n",
+       "                         }\n",
+       "                        .start_marked_big_open_circle{\n",
+       "                            marker-start: url(#big_open_circle);\n",
+       "                         }\n",
+       "\n",
+       "                         \n",
+       "                        </style>\n",
+       "    <defs>\n",
+       "        <marker id=\"arrow\" viewBox=\"-2 -2 8 8\" refX=\"4\" refY=\"2\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <polygon points=\"0,0 0,4 4,2 0,0\"></polygon>\n",
+       "        </marker>\n",
+       "        <marker id=\"diamond\" viewBox=\"-2 -2 8 8\" refX=\"4\" refY=\"2\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <polygon points=\"0,2 2,0 4,2 2,4 0,2\"></polygon>\n",
+       "        </marker>\n",
+       "        <marker id=\"circle\" viewBox=\"0 0 8 8\" refX=\"4\" refY=\"4\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <circle cx=\"4\" cy=\"4\" r=\"2\" class=\"filled\"></circle>\n",
+       "        </marker>\n",
+       "        <marker id=\"open_circle\" viewBox=\"0 0 8 8\" refX=\"4\" refY=\"4\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <circle cx=\"4\" cy=\"4\" r=\"2\" class=\"bg_filled\"></circle>\n",
+       "        </marker>\n",
+       "        <marker id=\"big_open_circle\" viewBox=\"0 0 8 8\" refX=\"4\" refY=\"4\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <circle cx=\"4\" cy=\"4\" r=\"3\" class=\"bg_filled\"></circle>\n",
+       "        </marker>\n",
+       "    </defs>\n",
+       "    <rect x=\"4\" y=\"8\" width=\"32\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"10\" y=\"28\" >i0</text>\n",
+       "    <rect x=\"68\" y=\"8\" width=\"32\" height=\"32\" class=\"solid nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"74\" y=\"28\" >i1</text>\n",
+       "    <rect x=\"132\" y=\"8\" width=\"32\" height=\"32\" class=\"solid nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"138\" y=\"28\" >i2</text>\n",
+       "    <rect x=\"196\" y=\"8\" width=\"32\" height=\"32\" class=\"solid nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"202\" y=\"28\" >i3</text>\n",
+       "    <rect x=\"4\" y=\"72\" width=\"24\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"10\" y=\"92\" >0</text>\n",
+       "    <rect x=\"4\" y=\"216\" width=\"24\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"10\" y=\"236\" >1</text>\n",
+       "    <text x=\"42\" y=\"28\" >p0</text>\n",
+       "    <text x=\"106\" y=\"28\" >p1</text>\n",
+       "    <text x=\"170\" y=\"28\" >p2</text>\n",
+       "    <line x1=\"0\" y1=\"54\" x2=\"232\" y2=\"54\" class=\"solid\"></line>\n",
+       "    <line x1=\"0\" y1=\"58\" x2=\"232\" y2=\"58\" class=\"solid\"></line>\n",
+       "    <text x=\"50\" y=\"76\" >0</text>\n",
+       "    <text x=\"114\" y=\"76\" >0</text>\n",
+       "    <text x=\"178\" y=\"76\" >0</text>\n",
+       "    <text x=\"74\" y=\"92\" >0</text>\n",
+       "    <text x=\"138\" y=\"92\" >0</text>\n",
+       "    <text x=\"202\" y=\"92\" >1</text>\n",
+       "    <text x=\"114\" y=\"108\" >1</text>\n",
+       "    <text x=\"202\" y=\"108\" >2</text>\n",
+       "    <text x=\"178\" y=\"124\" >2</text>\n",
+       "    <text x=\"74\" y=\"140\" >1</text>\n",
+       "    <text x=\"138\" y=\"140\" >0</text>\n",
+       "    <text x=\"202\" y=\"140\" >0</text>\n",
+       "    <text x=\"50\" y=\"156\" >2</text>\n",
+       "    <text x=\"202\" y=\"156\" >2</text>\n",
+       "    <text x=\"178\" y=\"172\" >4</text>\n",
+       "    <text x=\"138\" y=\"188\" >1</text>\n",
+       "    <text x=\"202\" y=\"188\" >0</text>\n",
+       "    <text x=\"114\" y=\"204\" >3</text>\n",
+       "    <text x=\"178\" y=\"204\" >5</text>\n",
+       "    <text x=\"74\" y=\"236\" >1</text>\n",
+       "    <text x=\"138\" y=\"236\" >1</text>\n",
+       "    <text x=\"202\" y=\"236\" >0</text>\n",
+       "    <text x=\"50\" y=\"252\" >3</text>\n",
+       "    <text x=\"114\" y=\"252\" >4</text>\n",
+       "    <text x=\"202\" y=\"252\" >1</text>\n",
+       "    <text x=\"202\" y=\"268\" >2</text>\n",
+       "    <text x=\"178\" y=\"284\" >8</text>\n",
+       "    <g>\n",
+       "        <path d=\"M 72,72 A 4,4 0,0,0 68,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"68\" y1=\"76\" x2=\"68\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"72\" y1=\"72\" x2=\"88\" y2=\"72\" class=\"solid\"></line>\n",
+       "        <path d=\"M 88,72 A 4,4 0,0,1 92,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"92\" y1=\"76\" x2=\"92\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"32\" y1=\"88\" x2=\"68\" y2=\"88\" class=\"solid\"></line>\n",
+       "        <line x1=\"44\" y1=\"88\" x2=\"44\" y2=\"132\" class=\"solid\"></line>\n",
+       "        <path d=\"M 68,100 A 4,4 0,0,0 72,104\" class=\"nofill\"></path>\n",
+       "        <line x1=\"72\" y1=\"104\" x2=\"88\" y2=\"104\" class=\"solid\"></line>\n",
+       "        <path d=\"M 92,100 A 4,4 0,0,1 88,104\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 44,132 A 4,4 0,0,0 48,136\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 136,72 A 4,4 0,0,0 132,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"76\" x2=\"132\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"136\" y1=\"72\" x2=\"152\" y2=\"72\" class=\"solid\"></line>\n",
+       "        <path d=\"M 152,72 A 4,4 0,0,1 156,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"76\" x2=\"156\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"92\" y1=\"88\" x2=\"132\" y2=\"88\" class=\"solid\"></line>\n",
+       "        <path d=\"M 132,100 A 4,4 0,0,0 136,104\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"104\" x2=\"152\" y2=\"104\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,100 A 4,4 0,0,1 152,104\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 200,72 A 4,4 0,0,0 196,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"76\" x2=\"196\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"72\" x2=\"216\" y2=\"72\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,72 A 4,4 0,0,1 220,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"76\" x2=\"220\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <line x1=\"156\" y1=\"88\" x2=\"196\" y2=\"88\" class=\"solid\"></line>\n",
+       "        <line x1=\"172\" y1=\"88\" x2=\"172\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <path d=\"M 172,100 A 4,4 0,0,0 176,104\" class=\"nofill\"></path>\n",
+       "        <line x1=\"176\" y1=\"104\" x2=\"196\" y2=\"104\" class=\"solid\"></line>\n",
+       "        <line x1=\"196\" y1=\"120\" x2=\"220\" y2=\"120\" class=\"solid\"></line>\n",
+       "        <line x1=\"196\" y1=\"168\" x2=\"220\" y2=\"168\" class=\"solid\"></line>\n",
+       "        <path d=\"M 196,196 A 4,4 0,0,0 200,200\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"200\" x2=\"216\" y2=\"200\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,196 A 4,4 0,0,1 216,200\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 72,120 A 4,4 0,0,0 68,124\" class=\"nofill\"></path>\n",
+       "        <line x1=\"68\" y1=\"124\" x2=\"68\" y2=\"148\" class=\"solid\"></line>\n",
+       "        <line x1=\"72\" y1=\"120\" x2=\"88\" y2=\"120\" class=\"solid\"></line>\n",
+       "        <path d=\"M 88,120 A 4,4 0,0,1 92,124\" class=\"nofill\"></path>\n",
+       "        <line x1=\"92\" y1=\"124\" x2=\"92\" y2=\"148\" class=\"solid\"></line>\n",
+       "        <line x1=\"48\" y1=\"136\" x2=\"68\" y2=\"136\" class=\"solid\"></line>\n",
+       "        <path d=\"M 68,148 A 4,4 0,0,0 72,152\" class=\"nofill\"></path>\n",
+       "        <line x1=\"72\" y1=\"152\" x2=\"88\" y2=\"152\" class=\"solid\"></line>\n",
+       "        <path d=\"M 92,148 A 4,4 0,0,1 88,152\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 136,120 A 4,4 0,0,0 132,124\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"124\" x2=\"132\" y2=\"148\" class=\"solid\"></line>\n",
+       "        <line x1=\"136\" y1=\"120\" x2=\"152\" y2=\"120\" class=\"solid\"></line>\n",
+       "        <path d=\"M 152,120 A 4,4 0,0,1 156,124\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"124\" x2=\"156\" y2=\"148\" class=\"solid\"></line>\n",
+       "        <line x1=\"92\" y1=\"136\" x2=\"132\" y2=\"136\" class=\"solid\"></line>\n",
+       "        <line x1=\"108\" y1=\"136\" x2=\"108\" y2=\"180\" class=\"solid\"></line>\n",
+       "        <line x1=\"156\" y1=\"136\" x2=\"196\" y2=\"136\" class=\"solid\"></line>\n",
+       "        <line x1=\"172\" y1=\"136\" x2=\"172\" y2=\"148\" class=\"solid\"></line>\n",
+       "        <path d=\"M 132,148 A 4,4 0,0,0 136,152\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"152\" x2=\"152\" y2=\"152\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,148 A 4,4 0,0,1 152,152\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 172,148 A 4,4 0,0,0 176,152\" class=\"nofill\"></path>\n",
+       "        <line x1=\"176\" y1=\"152\" x2=\"196\" y2=\"152\" class=\"solid\"></line>\n",
+       "        <path d=\"M 108,180 A 4,4 0,0,0 112,184\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 136,168 A 4,4 0,0,0 132,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"172\" x2=\"132\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <line x1=\"136\" y1=\"168\" x2=\"152\" y2=\"168\" class=\"solid\"></line>\n",
+       "        <path d=\"M 152,168 A 4,4 0,0,1 156,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"172\" x2=\"156\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <line x1=\"112\" y1=\"184\" x2=\"132\" y2=\"184\" class=\"solid\"></line>\n",
+       "        <line x1=\"156\" y1=\"184\" x2=\"196\" y2=\"184\" class=\"solid\"></line>\n",
+       "        <path d=\"M 132,196 A 4,4 0,0,0 136,200\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"200\" x2=\"152\" y2=\"200\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,196 A 4,4 0,0,1 152,200\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 72,216 A 4,4 0,0,0 68,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"68\" y1=\"220\" x2=\"68\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <line x1=\"72\" y1=\"216\" x2=\"88\" y2=\"216\" class=\"solid\"></line>\n",
+       "        <path d=\"M 88,216 A 4,4 0,0,1 92,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"92\" y1=\"220\" x2=\"92\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <line x1=\"32\" y1=\"232\" x2=\"68\" y2=\"232\" class=\"solid\"></line>\n",
+       "        <path d=\"M 68,244 A 4,4 0,0,0 72,248\" class=\"nofill\"></path>\n",
+       "        <line x1=\"72\" y1=\"248\" x2=\"88\" y2=\"248\" class=\"solid\"></line>\n",
+       "        <path d=\"M 92,244 A 4,4 0,0,1 88,248\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 136,216 A 4,4 0,0,0 132,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"220\" x2=\"132\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <line x1=\"136\" y1=\"216\" x2=\"152\" y2=\"216\" class=\"solid\"></line>\n",
+       "        <path d=\"M 152,216 A 4,4 0,0,1 156,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"220\" x2=\"156\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <line x1=\"92\" y1=\"232\" x2=\"132\" y2=\"232\" class=\"solid\"></line>\n",
+       "        <path d=\"M 132,244 A 4,4 0,0,0 136,248\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"248\" x2=\"152\" y2=\"248\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,244 A 4,4 0,0,1 152,248\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 200,216 A 4,4 0,0,0 196,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"220\" x2=\"196\" y2=\"276\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"216\" x2=\"216\" y2=\"216\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,216 A 4,4 0,0,1 220,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"220\" x2=\"220\" y2=\"276\" class=\"solid\"></line>\n",
+       "        <line x1=\"156\" y1=\"232\" x2=\"196\" y2=\"232\" class=\"solid\"></line>\n",
+       "        <line x1=\"172\" y1=\"232\" x2=\"172\" y2=\"260\" class=\"solid\"></line>\n",
+       "        <line x1=\"172\" y1=\"248\" x2=\"196\" y2=\"248\" class=\"solid\"></line>\n",
+       "        <path d=\"M 172,260 A 4,4 0,0,0 176,264\" class=\"nofill\"></path>\n",
+       "        <line x1=\"176\" y1=\"264\" x2=\"196\" y2=\"264\" class=\"solid\"></line>\n",
+       "        <path d=\"M 196,276 A 4,4 0,0,0 200,280\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"280\" x2=\"216\" y2=\"280\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,276 A 4,4 0,0,1 216,280\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "</svg>"
+      ],
+      "text/plain": [
+       ".~~~.   .---.   .---.   .---.\n",
+       "┊i0 ┊p0 |i1 |p1 |i2 |p2 |i3 |\n",
+       "`~~~'   `---'   `---'   `---'\n",
+       "=============================\n",
+       ".~~.  0 .--.  0 .--.  0 .--.\n",
+       "┊0 ┊-+--|0 |----|0 |-+--|1 |\n",
+       "`~~' |  `--'  1 `--' `--|2 |\n",
+       "     |  .--.    .--.  2 |--|\n",
+       "     `--|1 |-+--|0 |-+--|0 |\n",
+       "      2 `--' |  `--' `--|2 |\n",
+       "             |  .--.  4 |--|\n",
+       "             `--|1 |----|0 |\n",
+       "              3 `--'  5 `--'\n",
+       ".~~.    .--.    .--.    .--.\n",
+       "┊1 ┊----|1 |----|1 |-+--|0 |\n",
+       "`~~'  3 `--'  4 `--' |--|1 |\n",
+       "                     `--|2 |\n",
+       "                      8 `--'"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "text/markdown": [
+       "# DC-S-C-S"
+      ],
+      "text/plain": [
+       "<IPython.core.display.Markdown object>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "image/svg+xml": [
+       "<svg xmlns=\"http://www.w3.org/2000/svg\" width=\"240\" height=\"400\">\n",
+       "    <style>line, path, circle,rect,polygon {\n",
+       "                          stroke: black;\n",
+       "                          stroke-width: 2;\n",
+       "                          stroke-opacity: 1;\n",
+       "                          fill-opacity: 1;\n",
+       "                          stroke-linecap: round;\n",
+       "                          stroke-linejoin: miter;\n",
+       "                        }\n",
+       "\n",
+       "                    text {\n",
+       "                        /* This fix the spacing bug in svg text*/\n",
+       "                        white-space: pre;\n",
+       "                        fill: black;\n",
+       "                        }\n",
+       "                        rect.backdrop{\n",
+       "                            stroke: none;\n",
+       "                            fill: white;\n",
+       "                        }\n",
+       "                        .broken{\n",
+       "                            stroke-dasharray: 8;\n",
+       "                        }\n",
+       "                        .filled{\n",
+       "                            fill: black;\n",
+       "                        }\n",
+       "                        .bg_filled{\n",
+       "                            fill: white;\n",
+       "                        }\n",
+       "                        .nofill{\n",
+       "                            fill: white;\n",
+       "                        }\n",
+       "\n",
+       "                        text {\n",
+       "                         font-family: monospace;\n",
+       "                         font-size: 14px;\n",
+       "                        }\n",
+       "\n",
+       "                        .end_marked_arrow{\n",
+       "                            marker-end: url(#arrow);\n",
+       "                         }\n",
+       "                        .start_marked_arrow{\n",
+       "                            marker-start: url(#arrow);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_diamond{\n",
+       "                            marker-end: url(#diamond);\n",
+       "                         }\n",
+       "                        .start_marked_diamond{\n",
+       "                            marker-start: url(#diamond);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_circle{\n",
+       "                            marker-end: url(#circle);\n",
+       "                         }\n",
+       "                        .start_marked_circle{\n",
+       "                            marker-start: url(#circle);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_open_circle{\n",
+       "                            marker-end: url(#open_circle);\n",
+       "                         }\n",
+       "                        .start_marked_open_circle{\n",
+       "                            marker-start: url(#open_circle);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_big_open_circle{\n",
+       "                            marker-end: url(#big_open_circle);\n",
+       "                         }\n",
+       "                        .start_marked_big_open_circle{\n",
+       "                            marker-start: url(#big_open_circle);\n",
+       "                         }\n",
+       "\n",
+       "                         \n",
+       "                        </style>\n",
+       "    <defs>\n",
+       "        <marker id=\"arrow\" viewBox=\"-2 -2 8 8\" refX=\"4\" refY=\"2\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <polygon points=\"0,0 0,4 4,2 0,0\"></polygon>\n",
+       "        </marker>\n",
+       "        <marker id=\"diamond\" viewBox=\"-2 -2 8 8\" refX=\"4\" refY=\"2\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <polygon points=\"0,2 2,0 4,2 2,4 0,2\"></polygon>\n",
+       "        </marker>\n",
+       "        <marker id=\"circle\" viewBox=\"0 0 8 8\" refX=\"4\" refY=\"4\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <circle cx=\"4\" cy=\"4\" r=\"2\" class=\"filled\"></circle>\n",
+       "        </marker>\n",
+       "        <marker id=\"open_circle\" viewBox=\"0 0 8 8\" refX=\"4\" refY=\"4\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <circle cx=\"4\" cy=\"4\" r=\"2\" class=\"bg_filled\"></circle>\n",
+       "        </marker>\n",
+       "        <marker id=\"big_open_circle\" viewBox=\"0 0 8 8\" refX=\"4\" refY=\"4\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <circle cx=\"4\" cy=\"4\" r=\"3\" class=\"bg_filled\"></circle>\n",
+       "        </marker>\n",
+       "    </defs>\n",
+       "    <rect x=\"4\" y=\"8\" width=\"32\" height=\"32\" class=\"solid nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"10\" y=\"28\" >i0</text>\n",
+       "    <rect x=\"68\" y=\"8\" width=\"32\" height=\"32\" class=\"solid nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"74\" y=\"28\" >i1</text>\n",
+       "    <rect x=\"132\" y=\"8\" width=\"32\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"138\" y=\"28\" >i2</text>\n",
+       "    <rect x=\"196\" y=\"8\" width=\"32\" height=\"32\" class=\"solid nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"202\" y=\"28\" >i3</text>\n",
+       "    <rect x=\"132\" y=\"72\" width=\"24\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"138\" y=\"92\" >0</text>\n",
+       "    <rect x=\"132\" y=\"168\" width=\"24\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"138\" y=\"188\" >0</text>\n",
+       "    <rect x=\"132\" y=\"216\" width=\"24\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"138\" y=\"236\" >1</text>\n",
+       "    <rect x=\"132\" y=\"312\" width=\"24\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"138\" y=\"332\" >1</text>\n",
+       "    <text x=\"42\" y=\"28\" >p0</text>\n",
+       "    <text x=\"106\" y=\"28\" >p1</text>\n",
+       "    <text x=\"170\" y=\"28\" >p2</text>\n",
+       "    <line x1=\"0\" y1=\"54\" x2=\"232\" y2=\"54\" class=\"solid\"></line>\n",
+       "    <line x1=\"0\" y1=\"58\" x2=\"232\" y2=\"58\" class=\"solid\"></line>\n",
+       "    <text x=\"50\" y=\"76\" >0</text>\n",
+       "    <text x=\"114\" y=\"76\" >0</text>\n",
+       "    <text x=\"178\" y=\"76\" >0</text>\n",
+       "    <text x=\"10\" y=\"92\" >0</text>\n",
+       "    <text x=\"74\" y=\"92\" >0</text>\n",
+       "    <text x=\"202\" y=\"92\" >1</text>\n",
+       "    <text x=\"114\" y=\"108\" >1</text>\n",
+       "    <text x=\"202\" y=\"108\" >2</text>\n",
+       "    <text x=\"178\" y=\"124\" >2</text>\n",
+       "    <text x=\"74\" y=\"140\" >0</text>\n",
+       "    <text x=\"138\" y=\"140\" >1</text>\n",
+       "    <text x=\"114\" y=\"156\" >2</text>\n",
+       "    <text x=\"178\" y=\"172\" >2</text>\n",
+       "    <text x=\"74\" y=\"188\" >1</text>\n",
+       "    <text x=\"202\" y=\"188\" >0</text>\n",
+       "    <text x=\"114\" y=\"204\" >3</text>\n",
+       "    <text x=\"202\" y=\"204\" >2</text>\n",
+       "    <text x=\"178\" y=\"220\" >4</text>\n",
+       "    <text x=\"74\" y=\"236\" >1</text>\n",
+       "    <text x=\"202\" y=\"236\" >0</text>\n",
+       "    <text x=\"50\" y=\"252\" >4</text>\n",
+       "    <text x=\"114\" y=\"252\" >4</text>\n",
+       "    <text x=\"178\" y=\"252\" >5</text>\n",
+       "    <text x=\"10\" y=\"284\" >1</text>\n",
+       "    <text x=\"74\" y=\"284\" >1</text>\n",
+       "    <text x=\"138\" y=\"284\" >0</text>\n",
+       "    <text x=\"114\" y=\"300\" >5</text>\n",
+       "    <text x=\"178\" y=\"316\" >5</text>\n",
+       "    <text x=\"74\" y=\"332\" >1</text>\n",
+       "    <text x=\"202\" y=\"332\" >0</text>\n",
+       "    <text x=\"50\" y=\"348\" >6</text>\n",
+       "    <text x=\"114\" y=\"348\" >6</text>\n",
+       "    <text x=\"202\" y=\"348\" >1</text>\n",
+       "    <text x=\"202\" y=\"364\" >2</text>\n",
+       "    <text x=\"178\" y=\"380\" >8</text>\n",
+       "    <g>\n",
+       "        <path d=\"M 8,72 A 4,4 0,0,0 4,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"4\" y1=\"76\" x2=\"4\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"8\" y1=\"72\" x2=\"24\" y2=\"72\" class=\"solid\"></line>\n",
+       "        <path d=\"M 24,72 A 4,4 0,0,1 28,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"28\" y1=\"76\" x2=\"28\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <path d=\"M 4,100 A 4,4 0,0,0 8,104\" class=\"nofill\"></path>\n",
+       "        <line x1=\"8\" y1=\"104\" x2=\"24\" y2=\"104\" class=\"solid\"></line>\n",
+       "        <path d=\"M 28,100 A 4,4 0,0,1 24,104\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 72,72 A 4,4 0,0,0 68,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"68\" y1=\"76\" x2=\"68\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"72\" y1=\"72\" x2=\"88\" y2=\"72\" class=\"solid\"></line>\n",
+       "        <path d=\"M 88,72 A 4,4 0,0,1 92,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"92\" y1=\"76\" x2=\"92\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"28\" y1=\"88\" x2=\"68\" y2=\"88\" class=\"solid\"></line>\n",
+       "        <line x1=\"44\" y1=\"88\" x2=\"44\" y2=\"228\" class=\"solid\"></line>\n",
+       "        <line x1=\"92\" y1=\"88\" x2=\"128\" y2=\"88\" class=\"broken\"></line>\n",
+       "        <path d=\"M 68,100 A 4,4 0,0,0 72,104\" class=\"nofill\"></path>\n",
+       "        <line x1=\"72\" y1=\"104\" x2=\"88\" y2=\"104\" class=\"solid\"></line>\n",
+       "        <path d=\"M 92,100 A 4,4 0,0,1 88,104\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 44,228 A 4,4 0,0,0 48,232\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 72,120 A 4,4 0,0,0 68,124\" class=\"nofill\"></path>\n",
+       "        <line x1=\"68\" y1=\"124\" x2=\"68\" y2=\"148\" class=\"solid\"></line>\n",
+       "        <line x1=\"72\" y1=\"120\" x2=\"88\" y2=\"120\" class=\"solid\"></line>\n",
+       "        <path d=\"M 88,120 A 4,4 0,0,1 92,124\" class=\"nofill\"></path>\n",
+       "        <line x1=\"92\" y1=\"124\" x2=\"92\" y2=\"148\" class=\"solid\"></line>\n",
+       "        <line x1=\"44\" y1=\"136\" x2=\"68\" y2=\"136\" class=\"solid\"></line>\n",
+       "        <line x1=\"92\" y1=\"136\" x2=\"128\" y2=\"136\" class=\"broken\"></line>\n",
+       "        <path d=\"M 68,148 A 4,4 0,0,0 72,152\" class=\"nofill\"></path>\n",
+       "        <line x1=\"72\" y1=\"152\" x2=\"88\" y2=\"152\" class=\"solid\"></line>\n",
+       "        <path d=\"M 92,148 A 4,4 0,0,1 88,152\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 72,168 A 4,4 0,0,0 68,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"68\" y1=\"172\" x2=\"68\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <line x1=\"72\" y1=\"168\" x2=\"88\" y2=\"168\" class=\"solid\"></line>\n",
+       "        <path d=\"M 88,168 A 4,4 0,0,1 92,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"92\" y1=\"172\" x2=\"92\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <line x1=\"44\" y1=\"184\" x2=\"68\" y2=\"184\" class=\"solid\"></line>\n",
+       "        <line x1=\"92\" y1=\"184\" x2=\"128\" y2=\"184\" class=\"broken\"></line>\n",
+       "        <path d=\"M 68,196 A 4,4 0,0,0 72,200\" class=\"nofill\"></path>\n",
+       "        <line x1=\"72\" y1=\"200\" x2=\"88\" y2=\"200\" class=\"solid\"></line>\n",
+       "        <path d=\"M 92,196 A 4,4 0,0,1 88,200\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 72,216 A 4,4 0,0,0 68,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"68\" y1=\"220\" x2=\"68\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <line x1=\"72\" y1=\"216\" x2=\"88\" y2=\"216\" class=\"solid\"></line>\n",
+       "        <path d=\"M 88,216 A 4,4 0,0,1 92,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"92\" y1=\"220\" x2=\"92\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <line x1=\"48\" y1=\"232\" x2=\"68\" y2=\"232\" class=\"solid\"></line>\n",
+       "        <line x1=\"92\" y1=\"232\" x2=\"128\" y2=\"232\" class=\"broken\"></line>\n",
+       "        <path d=\"M 68,244 A 4,4 0,0,0 72,248\" class=\"nofill\"></path>\n",
+       "        <line x1=\"72\" y1=\"248\" x2=\"88\" y2=\"248\" class=\"solid\"></line>\n",
+       "        <path d=\"M 92,244 A 4,4 0,0,1 88,248\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 200,72 A 4,4 0,0,0 196,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"76\" x2=\"196\" y2=\"116\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"72\" x2=\"216\" y2=\"72\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,72 A 4,4 0,0,1 220,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"76\" x2=\"220\" y2=\"116\" class=\"solid\"></line>\n",
+       "        <line x1=\"160\" y1=\"88\" x2=\"196\" y2=\"88\" class=\"solid\"></line>\n",
+       "        <line x1=\"172\" y1=\"88\" x2=\"172\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <path d=\"M 172,100 A 4,4 0,0,0 176,104\" class=\"nofill\"></path>\n",
+       "        <line x1=\"176\" y1=\"104\" x2=\"196\" y2=\"104\" class=\"solid\"></line>\n",
+       "        <path d=\"M 196,116 A 4,4 0,0,0 200,120\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"120\" x2=\"216\" y2=\"120\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,116 A 4,4 0,0,1 216,120\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 136,120 A 4,4 0,0,0 132,124\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"124\" x2=\"132\" y2=\"148\" class=\"broken\"></line>\n",
+       "        <line x1=\"136\" y1=\"120\" x2=\"152\" y2=\"120\" class=\"broken\"></line>\n",
+       "        <path d=\"M 152,120 A 4,4 0,0,1 156,124\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 152,120 A 8,8 0,0,1 158,124\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"124\" x2=\"156\" y2=\"148\" class=\"broken\"></line>\n",
+       "        <line x1=\"158\" y1=\"124\" x2=\"160\" y2=\"128\" class=\"solid\"></line>\n",
+       "        <path d=\"M 160,128 A 16,16 0,0,1 160,144\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 132,148 A 4,4 0,0,0 136,152\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"152\" x2=\"152\" y2=\"152\" class=\"broken\"></line>\n",
+       "        <line x1=\"160\" y1=\"144\" x2=\"158\" y2=\"148\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,148 A 4,4 0,0,1 152,152\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 158,148 A 8,8 0,0,1 152,152\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 200,168 A 4,4 0,0,0 196,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"172\" x2=\"196\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"168\" x2=\"216\" y2=\"168\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,168 A 4,4 0,0,1 220,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"172\" x2=\"220\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <line x1=\"160\" y1=\"184\" x2=\"196\" y2=\"184\" class=\"solid\"></line>\n",
+       "        <line x1=\"172\" y1=\"184\" x2=\"172\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <path d=\"M 172,196 A 4,4 0,0,0 176,200\" class=\"nofill\"></path>\n",
+       "        <line x1=\"176\" y1=\"200\" x2=\"196\" y2=\"200\" class=\"solid\"></line>\n",
+       "        <line x1=\"196\" y1=\"216\" x2=\"220\" y2=\"216\" class=\"solid\"></line>\n",
+       "        <line x1=\"160\" y1=\"232\" x2=\"196\" y2=\"232\" class=\"solid\"></line>\n",
+       "        <path d=\"M 196,244 A 4,4 0,0,0 200,248\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"248\" x2=\"216\" y2=\"248\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,244 A 4,4 0,0,1 216,248\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 8,264 A 4,4 0,0,0 4,268\" class=\"nofill\"></path>\n",
+       "        <line x1=\"4\" y1=\"268\" x2=\"4\" y2=\"292\" class=\"solid\"></line>\n",
+       "        <line x1=\"8\" y1=\"264\" x2=\"24\" y2=\"264\" class=\"solid\"></line>\n",
+       "        <path d=\"M 24,264 A 4,4 0,0,1 28,268\" class=\"nofill\"></path>\n",
+       "        <line x1=\"28\" y1=\"268\" x2=\"28\" y2=\"292\" class=\"solid\"></line>\n",
+       "        <path d=\"M 4,292 A 4,4 0,0,0 8,296\" class=\"nofill\"></path>\n",
+       "        <line x1=\"8\" y1=\"296\" x2=\"24\" y2=\"296\" class=\"solid\"></line>\n",
+       "        <path d=\"M 28,292 A 4,4 0,0,1 24,296\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 72,264 A 4,4 0,0,0 68,268\" class=\"nofill\"></path>\n",
+       "        <line x1=\"68\" y1=\"268\" x2=\"68\" y2=\"292\" class=\"solid\"></line>\n",
+       "        <line x1=\"72\" y1=\"264\" x2=\"88\" y2=\"264\" class=\"solid\"></line>\n",
+       "        <path d=\"M 88,264 A 4,4 0,0,1 92,268\" class=\"nofill\"></path>\n",
+       "        <line x1=\"92\" y1=\"268\" x2=\"92\" y2=\"292\" class=\"solid\"></line>\n",
+       "        <line x1=\"28\" y1=\"280\" x2=\"68\" y2=\"280\" class=\"solid\"></line>\n",
+       "        <line x1=\"44\" y1=\"280\" x2=\"44\" y2=\"324\" class=\"solid\"></line>\n",
+       "        <line x1=\"92\" y1=\"280\" x2=\"128\" y2=\"280\" class=\"broken\"></line>\n",
+       "        <path d=\"M 68,292 A 4,4 0,0,0 72,296\" class=\"nofill\"></path>\n",
+       "        <line x1=\"72\" y1=\"296\" x2=\"88\" y2=\"296\" class=\"solid\"></line>\n",
+       "        <path d=\"M 92,292 A 4,4 0,0,1 88,296\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 44,324 A 4,4 0,0,0 48,328\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 72,312 A 4,4 0,0,0 68,316\" class=\"nofill\"></path>\n",
+       "        <line x1=\"68\" y1=\"316\" x2=\"68\" y2=\"340\" class=\"solid\"></line>\n",
+       "        <line x1=\"72\" y1=\"312\" x2=\"88\" y2=\"312\" class=\"solid\"></line>\n",
+       "        <path d=\"M 88,312 A 4,4 0,0,1 92,316\" class=\"nofill\"></path>\n",
+       "        <line x1=\"92\" y1=\"316\" x2=\"92\" y2=\"340\" class=\"solid\"></line>\n",
+       "        <line x1=\"48\" y1=\"328\" x2=\"68\" y2=\"328\" class=\"solid\"></line>\n",
+       "        <line x1=\"92\" y1=\"328\" x2=\"128\" y2=\"328\" class=\"broken\"></line>\n",
+       "        <path d=\"M 68,340 A 4,4 0,0,0 72,344\" class=\"nofill\"></path>\n",
+       "        <line x1=\"72\" y1=\"344\" x2=\"88\" y2=\"344\" class=\"solid\"></line>\n",
+       "        <path d=\"M 92,340 A 4,4 0,0,1 88,344\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 136,264 A 4,4 0,0,0 132,268\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"268\" x2=\"132\" y2=\"292\" class=\"broken\"></line>\n",
+       "        <line x1=\"136\" y1=\"264\" x2=\"152\" y2=\"264\" class=\"broken\"></line>\n",
+       "        <path d=\"M 152,264 A 4,4 0,0,1 156,268\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 152,264 A 8,8 0,0,1 158,268\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"268\" x2=\"156\" y2=\"292\" class=\"broken\"></line>\n",
+       "        <line x1=\"158\" y1=\"268\" x2=\"160\" y2=\"272\" class=\"solid\"></line>\n",
+       "        <path d=\"M 160,272 A 16,16 0,0,1 160,288\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 132,292 A 4,4 0,0,0 136,296\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"296\" x2=\"152\" y2=\"296\" class=\"broken\"></line>\n",
+       "        <line x1=\"160\" y1=\"288\" x2=\"158\" y2=\"292\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,292 A 4,4 0,0,1 152,296\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 158,292 A 8,8 0,0,1 152,296\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 200,312 A 4,4 0,0,0 196,316\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"316\" x2=\"196\" y2=\"372\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"312\" x2=\"216\" y2=\"312\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,312 A 4,4 0,0,1 220,316\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"316\" x2=\"220\" y2=\"372\" class=\"solid\"></line>\n",
+       "        <line x1=\"160\" y1=\"328\" x2=\"196\" y2=\"328\" class=\"solid\"></line>\n",
+       "        <line x1=\"172\" y1=\"328\" x2=\"172\" y2=\"356\" class=\"solid\"></line>\n",
+       "        <line x1=\"172\" y1=\"344\" x2=\"196\" y2=\"344\" class=\"solid\"></line>\n",
+       "        <path d=\"M 172,356 A 4,4 0,0,0 176,360\" class=\"nofill\"></path>\n",
+       "        <line x1=\"176\" y1=\"360\" x2=\"196\" y2=\"360\" class=\"solid\"></line>\n",
+       "        <path d=\"M 196,372 A 4,4 0,0,0 200,376\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"376\" x2=\"216\" y2=\"376\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,372 A 4,4 0,0,1 216,376\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "</svg>"
+      ],
+      "text/plain": [
+       ".---.   .---.   .~~~.   .---.\n",
+       "|i0 |p0 |i1 |p1 ┊i2 ┊p2 |i3 |\n",
+       "`---'   `---'   `~~~'   `---'\n",
+       "=============================\n",
+       ".--.  0 .--.  0 .~~.  0 .--.\n",
+       "|0 |-+--|0 |~~~~┊0 ┊-+--|1 |\n",
+       "`--' |  `--'  1 `~~' `--|2 |\n",
+       "     |  .--.    .~~.  2 `--'\n",
+       "     |--|0 |~~~~┊1 ┊)\n",
+       "     |  `--'  2 `~~'\n",
+       "     |  .--.    .~~.  2 .--.\n",
+       "     |--|1 |~~~~┊0 ┊-+--|0 |\n",
+       "     |  `--'  3 `~~' `--|2 |\n",
+       "     |  .--.    .~~.  4 |--|\n",
+       "     `--|1 |~~~~┊1 ┊----|0 |\n",
+       "      4 `--'  4 `~~'  5 `--'\n",
+       ".--.    .--.    .~~.\n",
+       "|1 |-+--|1 |~~~~┊0 ┊)\n",
+       "`--' |  `--'  5 `~~'\n",
+       "     |  .--.    .~~.  5 .--.\n",
+       "     `--|1 |~~~~┊1 ┊-+--|0 |\n",
+       "      6 `--'  6 `~~' |--|1 |\n",
+       "                     `--|2 |\n",
+       "                      8 `--'"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "text/markdown": [
+       "# DC-C-S-S"
+      ],
+      "text/plain": [
+       "<IPython.core.display.Markdown object>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "image/svg+xml": [
+       "<svg xmlns=\"http://www.w3.org/2000/svg\" width=\"240\" height=\"464\">\n",
+       "    <style>line, path, circle,rect,polygon {\n",
+       "                          stroke: black;\n",
+       "                          stroke-width: 2;\n",
+       "                          stroke-opacity: 1;\n",
+       "                          fill-opacity: 1;\n",
+       "                          stroke-linecap: round;\n",
+       "                          stroke-linejoin: miter;\n",
+       "                        }\n",
+       "\n",
+       "                    text {\n",
+       "                        /* This fix the spacing bug in svg text*/\n",
+       "                        white-space: pre;\n",
+       "                        fill: black;\n",
+       "                        }\n",
+       "                        rect.backdrop{\n",
+       "                            stroke: none;\n",
+       "                            fill: white;\n",
+       "                        }\n",
+       "                        .broken{\n",
+       "                            stroke-dasharray: 8;\n",
+       "                        }\n",
+       "                        .filled{\n",
+       "                            fill: black;\n",
+       "                        }\n",
+       "                        .bg_filled{\n",
+       "                            fill: white;\n",
+       "                        }\n",
+       "                        .nofill{\n",
+       "                            fill: white;\n",
+       "                        }\n",
+       "\n",
+       "                        text {\n",
+       "                         font-family: monospace;\n",
+       "                         font-size: 14px;\n",
+       "                        }\n",
+       "\n",
+       "                        .end_marked_arrow{\n",
+       "                            marker-end: url(#arrow);\n",
+       "                         }\n",
+       "                        .start_marked_arrow{\n",
+       "                            marker-start: url(#arrow);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_diamond{\n",
+       "                            marker-end: url(#diamond);\n",
+       "                         }\n",
+       "                        .start_marked_diamond{\n",
+       "                            marker-start: url(#diamond);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_circle{\n",
+       "                            marker-end: url(#circle);\n",
+       "                         }\n",
+       "                        .start_marked_circle{\n",
+       "                            marker-start: url(#circle);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_open_circle{\n",
+       "                            marker-end: url(#open_circle);\n",
+       "                         }\n",
+       "                        .start_marked_open_circle{\n",
+       "                            marker-start: url(#open_circle);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_big_open_circle{\n",
+       "                            marker-end: url(#big_open_circle);\n",
+       "                         }\n",
+       "                        .start_marked_big_open_circle{\n",
+       "                            marker-start: url(#big_open_circle);\n",
+       "                         }\n",
+       "\n",
+       "                         \n",
+       "                        </style>\n",
+       "    <defs>\n",
+       "        <marker id=\"arrow\" viewBox=\"-2 -2 8 8\" refX=\"4\" refY=\"2\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <polygon points=\"0,0 0,4 4,2 0,0\"></polygon>\n",
+       "        </marker>\n",
+       "        <marker id=\"diamond\" viewBox=\"-2 -2 8 8\" refX=\"4\" refY=\"2\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <polygon points=\"0,2 2,0 4,2 2,4 0,2\"></polygon>\n",
+       "        </marker>\n",
+       "        <marker id=\"circle\" viewBox=\"0 0 8 8\" refX=\"4\" refY=\"4\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <circle cx=\"4\" cy=\"4\" r=\"2\" class=\"filled\"></circle>\n",
+       "        </marker>\n",
+       "        <marker id=\"open_circle\" viewBox=\"0 0 8 8\" refX=\"4\" refY=\"4\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <circle cx=\"4\" cy=\"4\" r=\"2\" class=\"bg_filled\"></circle>\n",
+       "        </marker>\n",
+       "        <marker id=\"big_open_circle\" viewBox=\"0 0 8 8\" refX=\"4\" refY=\"4\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <circle cx=\"4\" cy=\"4\" r=\"3\" class=\"bg_filled\"></circle>\n",
+       "        </marker>\n",
+       "    </defs>\n",
+       "    <rect x=\"4\" y=\"8\" width=\"32\" height=\"32\" class=\"solid nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"10\" y=\"28\" >i0</text>\n",
+       "    <rect x=\"68\" y=\"8\" width=\"32\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"74\" y=\"28\" >i1</text>\n",
+       "    <rect x=\"132\" y=\"8\" width=\"32\" height=\"32\" class=\"solid nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"138\" y=\"28\" >i2</text>\n",
+       "    <rect x=\"196\" y=\"8\" width=\"32\" height=\"32\" class=\"solid nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"202\" y=\"28\" >i3</text>\n",
+       "    <rect x=\"68\" y=\"72\" width=\"24\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"74\" y=\"92\" >0</text>\n",
+       "    <rect x=\"68\" y=\"168\" width=\"24\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"74\" y=\"188\" >1</text>\n",
+       "    <rect x=\"68\" y=\"312\" width=\"24\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"74\" y=\"332\" >1</text>\n",
+       "    <text x=\"42\" y=\"28\" >p0</text>\n",
+       "    <text x=\"106\" y=\"28\" >p1</text>\n",
+       "    <text x=\"170\" y=\"28\" >p2</text>\n",
+       "    <line x1=\"0\" y1=\"54\" x2=\"232\" y2=\"54\" class=\"solid\"></line>\n",
+       "    <line x1=\"0\" y1=\"58\" x2=\"232\" y2=\"58\" class=\"solid\"></line>\n",
+       "    <text x=\"50\" y=\"76\" >0</text>\n",
+       "    <text x=\"114\" y=\"76\" >0</text>\n",
+       "    <text x=\"178\" y=\"76\" >0</text>\n",
+       "    <text x=\"10\" y=\"92\" >0</text>\n",
+       "    <text x=\"138\" y=\"92\" >0</text>\n",
+       "    <text x=\"202\" y=\"92\" >1</text>\n",
+       "    <text x=\"178\" y=\"108\" >1</text>\n",
+       "    <text x=\"138\" y=\"140\" >0</text>\n",
+       "    <text x=\"202\" y=\"140\" >2</text>\n",
+       "    <text x=\"114\" y=\"156\" >2</text>\n",
+       "    <text x=\"178\" y=\"156\" >2</text>\n",
+       "    <text x=\"138\" y=\"188\" >0</text>\n",
+       "    <text x=\"202\" y=\"188\" >0</text>\n",
+       "    <text x=\"50\" y=\"204\" >2</text>\n",
+       "    <text x=\"178\" y=\"204\" >3</text>\n",
+       "    <text x=\"10\" y=\"236\" >1</text>\n",
+       "    <text x=\"74\" y=\"236\" >0</text>\n",
+       "    <text x=\"138\" y=\"236\" >0</text>\n",
+       "    <text x=\"202\" y=\"236\" >2</text>\n",
+       "    <text x=\"178\" y=\"252\" >4</text>\n",
+       "    <text x=\"138\" y=\"284\" >1</text>\n",
+       "    <text x=\"202\" y=\"284\" >0</text>\n",
+       "    <text x=\"114\" y=\"300\" >5</text>\n",
+       "    <text x=\"178\" y=\"300\" >5</text>\n",
+       "    <text x=\"114\" y=\"316\" >5</text>\n",
+       "    <text x=\"138\" y=\"332\" >1</text>\n",
+       "    <text x=\"202\" y=\"332\" >0</text>\n",
+       "    <text x=\"50\" y=\"348\" >4</text>\n",
+       "    <text x=\"178\" y=\"348\" >6</text>\n",
+       "    <text x=\"138\" y=\"380\" >1</text>\n",
+       "    <text x=\"202\" y=\"380\" >1</text>\n",
+       "    <text x=\"178\" y=\"396\" >7</text>\n",
+       "    <text x=\"138\" y=\"428\" >1</text>\n",
+       "    <text x=\"202\" y=\"428\" >2</text>\n",
+       "    <text x=\"114\" y=\"444\" >8</text>\n",
+       "    <text x=\"178\" y=\"444\" >8</text>\n",
+       "    <g>\n",
+       "        <path d=\"M 8,72 A 4,4 0,0,0 4,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"4\" y1=\"76\" x2=\"4\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"8\" y1=\"72\" x2=\"24\" y2=\"72\" class=\"solid\"></line>\n",
+       "        <path d=\"M 24,72 A 4,4 0,0,1 28,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"28\" y1=\"76\" x2=\"28\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"28\" y1=\"88\" x2=\"64\" y2=\"88\" class=\"broken\"></line>\n",
+       "        <line x1=\"44\" y1=\"88\" x2=\"44\" y2=\"180\" class=\"broken\"></line>\n",
+       "        <path d=\"M 4,100 A 4,4 0,0,0 8,104\" class=\"nofill\"></path>\n",
+       "        <line x1=\"8\" y1=\"104\" x2=\"24\" y2=\"104\" class=\"solid\"></line>\n",
+       "        <path d=\"M 28,100 A 4,4 0,0,1 24,104\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 44,180 A 4,4 0,0,0 48,184\" class=\"nofill\"></path>\n",
+       "        <line x1=\"48\" y1=\"184\" x2=\"64\" y2=\"184\" class=\"broken\"></line>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 136,72 A 4,4 0,0,0 132,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"76\" x2=\"132\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"136\" y1=\"72\" x2=\"152\" y2=\"72\" class=\"solid\"></line>\n",
+       "        <path d=\"M 152,72 A 4,4 0,0,1 156,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"76\" x2=\"156\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"96\" y1=\"88\" x2=\"132\" y2=\"88\" class=\"solid\"></line>\n",
+       "        <line x1=\"108\" y1=\"88\" x2=\"108\" y2=\"132\" class=\"solid\"></line>\n",
+       "        <path d=\"M 132,100 A 4,4 0,0,0 136,104\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"104\" x2=\"152\" y2=\"104\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,100 A 4,4 0,0,1 152,104\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 108,132 A 4,4 0,0,0 112,136\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 200,72 A 4,4 0,0,0 196,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"76\" x2=\"196\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"72\" x2=\"216\" y2=\"72\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,72 A 4,4 0,0,1 220,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"76\" x2=\"220\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"156\" y1=\"88\" x2=\"196\" y2=\"88\" class=\"broken\"></line>\n",
+       "        <path d=\"M 196,100 A 4,4 0,0,0 200,104\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"104\" x2=\"216\" y2=\"104\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,100 A 4,4 0,0,1 216,104\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 136,120 A 4,4 0,0,0 132,124\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"124\" x2=\"132\" y2=\"148\" class=\"solid\"></line>\n",
+       "        <line x1=\"136\" y1=\"120\" x2=\"152\" y2=\"120\" class=\"solid\"></line>\n",
+       "        <path d=\"M 152,120 A 4,4 0,0,1 156,124\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"124\" x2=\"156\" y2=\"148\" class=\"solid\"></line>\n",
+       "        <line x1=\"112\" y1=\"136\" x2=\"132\" y2=\"136\" class=\"solid\"></line>\n",
+       "        <path d=\"M 132,148 A 4,4 0,0,0 136,152\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"152\" x2=\"152\" y2=\"152\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,148 A 4,4 0,0,1 152,152\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 200,120 A 4,4 0,0,0 196,124\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"124\" x2=\"196\" y2=\"148\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"120\" x2=\"216\" y2=\"120\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,120 A 4,4 0,0,1 220,124\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"124\" x2=\"220\" y2=\"148\" class=\"solid\"></line>\n",
+       "        <line x1=\"156\" y1=\"136\" x2=\"196\" y2=\"136\" class=\"broken\"></line>\n",
+       "        <path d=\"M 196,148 A 4,4 0,0,0 200,152\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"152\" x2=\"216\" y2=\"152\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,148 A 4,4 0,0,1 216,152\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 136,168 A 4,4 0,0,0 132,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"172\" x2=\"132\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <line x1=\"136\" y1=\"168\" x2=\"152\" y2=\"168\" class=\"solid\"></line>\n",
+       "        <path d=\"M 152,168 A 4,4 0,0,1 156,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"172\" x2=\"156\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <line x1=\"96\" y1=\"184\" x2=\"132\" y2=\"184\" class=\"solid\"></line>\n",
+       "        <line x1=\"108\" y1=\"184\" x2=\"108\" y2=\"276\" class=\"solid\"></line>\n",
+       "        <path d=\"M 132,196 A 4,4 0,0,0 136,200\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"200\" x2=\"152\" y2=\"200\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,196 A 4,4 0,0,1 152,200\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 108,276 A 4,4 0,0,0 112,280\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 200,168 A 4,4 0,0,0 196,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"172\" x2=\"196\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"168\" x2=\"216\" y2=\"168\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,168 A 4,4 0,0,1 220,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"172\" x2=\"220\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <line x1=\"156\" y1=\"184\" x2=\"196\" y2=\"184\" class=\"broken\"></line>\n",
+       "        <path d=\"M 196,196 A 4,4 0,0,0 200,200\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"200\" x2=\"216\" y2=\"200\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,196 A 4,4 0,0,1 216,200\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 136,216 A 4,4 0,0,0 132,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"220\" x2=\"132\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <line x1=\"136\" y1=\"216\" x2=\"152\" y2=\"216\" class=\"solid\"></line>\n",
+       "        <path d=\"M 152,216 A 4,4 0,0,1 156,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"220\" x2=\"156\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <line x1=\"108\" y1=\"232\" x2=\"132\" y2=\"232\" class=\"solid\"></line>\n",
+       "        <path d=\"M 132,244 A 4,4 0,0,0 136,248\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"248\" x2=\"152\" y2=\"248\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,244 A 4,4 0,0,1 152,248\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 200,216 A 4,4 0,0,0 196,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"220\" x2=\"196\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"216\" x2=\"216\" y2=\"216\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,216 A 4,4 0,0,1 220,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"220\" x2=\"220\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <line x1=\"156\" y1=\"232\" x2=\"196\" y2=\"232\" class=\"broken\"></line>\n",
+       "        <path d=\"M 196,244 A 4,4 0,0,0 200,248\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"248\" x2=\"216\" y2=\"248\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,244 A 4,4 0,0,1 216,248\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 136,264 A 4,4 0,0,0 132,268\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"268\" x2=\"132\" y2=\"292\" class=\"solid\"></line>\n",
+       "        <line x1=\"136\" y1=\"264\" x2=\"152\" y2=\"264\" class=\"solid\"></line>\n",
+       "        <path d=\"M 152,264 A 4,4 0,0,1 156,268\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"268\" x2=\"156\" y2=\"292\" class=\"solid\"></line>\n",
+       "        <line x1=\"112\" y1=\"280\" x2=\"132\" y2=\"280\" class=\"solid\"></line>\n",
+       "        <path d=\"M 132,292 A 4,4 0,0,0 136,296\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"296\" x2=\"152\" y2=\"296\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,292 A 4,4 0,0,1 152,296\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 200,264 A 4,4 0,0,0 196,268\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"268\" x2=\"196\" y2=\"292\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"264\" x2=\"216\" y2=\"264\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,264 A 4,4 0,0,1 220,268\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"268\" x2=\"220\" y2=\"292\" class=\"solid\"></line>\n",
+       "        <line x1=\"156\" y1=\"280\" x2=\"196\" y2=\"280\" class=\"broken\"></line>\n",
+       "        <path d=\"M 196,292 A 4,4 0,0,0 200,296\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"296\" x2=\"216\" y2=\"296\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,292 A 4,4 0,0,1 216,296\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 8,216 A 4,4 0,0,0 4,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"4\" y1=\"220\" x2=\"4\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <line x1=\"8\" y1=\"216\" x2=\"24\" y2=\"216\" class=\"solid\"></line>\n",
+       "        <path d=\"M 24,216 A 4,4 0,0,1 28,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"28\" y1=\"220\" x2=\"28\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <line x1=\"28\" y1=\"232\" x2=\"64\" y2=\"232\" class=\"broken\"></line>\n",
+       "        <line x1=\"44\" y1=\"232\" x2=\"44\" y2=\"324\" class=\"broken\"></line>\n",
+       "        <path d=\"M 4,244 A 4,4 0,0,0 8,248\" class=\"nofill\"></path>\n",
+       "        <line x1=\"8\" y1=\"248\" x2=\"24\" y2=\"248\" class=\"solid\"></line>\n",
+       "        <path d=\"M 28,244 A 4,4 0,0,1 24,248\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 44,324 A 4,4 0,0,0 48,328\" class=\"nofill\"></path>\n",
+       "        <line x1=\"48\" y1=\"328\" x2=\"64\" y2=\"328\" class=\"broken\"></line>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 72,216 A 4,4 0,0,0 68,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"68\" y1=\"220\" x2=\"68\" y2=\"244\" class=\"broken\"></line>\n",
+       "        <line x1=\"72\" y1=\"216\" x2=\"88\" y2=\"216\" class=\"broken\"></line>\n",
+       "        <path d=\"M 88,216 A 4,4 0,0,1 92,220\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 88,216 A 8,8 0,0,1 94,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"92\" y1=\"220\" x2=\"92\" y2=\"244\" class=\"broken\"></line>\n",
+       "        <line x1=\"94\" y1=\"220\" x2=\"96\" y2=\"224\" class=\"solid\"></line>\n",
+       "        <path d=\"M 96,224 A 16,16 0,0,1 96,240\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 68,244 A 4,4 0,0,0 72,248\" class=\"nofill\"></path>\n",
+       "        <line x1=\"72\" y1=\"248\" x2=\"88\" y2=\"248\" class=\"broken\"></line>\n",
+       "        <line x1=\"96\" y1=\"240\" x2=\"94\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <path d=\"M 92,244 A 4,4 0,0,1 88,248\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 94,244 A 8,8 0,0,1 88,248\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 136,312 A 4,4 0,0,0 132,316\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"316\" x2=\"132\" y2=\"340\" class=\"solid\"></line>\n",
+       "        <line x1=\"136\" y1=\"312\" x2=\"152\" y2=\"312\" class=\"solid\"></line>\n",
+       "        <path d=\"M 152,312 A 4,4 0,0,1 156,316\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"316\" x2=\"156\" y2=\"340\" class=\"solid\"></line>\n",
+       "        <line x1=\"96\" y1=\"328\" x2=\"132\" y2=\"328\" class=\"solid\"></line>\n",
+       "        <line x1=\"108\" y1=\"328\" x2=\"108\" y2=\"420\" class=\"solid\"></line>\n",
+       "        <path d=\"M 132,340 A 4,4 0,0,0 136,344\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"344\" x2=\"152\" y2=\"344\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,340 A 4,4 0,0,1 152,344\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 108,420 A 4,4 0,0,0 112,424\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 200,312 A 4,4 0,0,0 196,316\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"316\" x2=\"196\" y2=\"340\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"312\" x2=\"216\" y2=\"312\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,312 A 4,4 0,0,1 220,316\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"316\" x2=\"220\" y2=\"340\" class=\"solid\"></line>\n",
+       "        <line x1=\"156\" y1=\"328\" x2=\"196\" y2=\"328\" class=\"broken\"></line>\n",
+       "        <path d=\"M 196,340 A 4,4 0,0,0 200,344\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"344\" x2=\"216\" y2=\"344\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,340 A 4,4 0,0,1 216,344\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 136,360 A 4,4 0,0,0 132,364\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"364\" x2=\"132\" y2=\"388\" class=\"solid\"></line>\n",
+       "        <line x1=\"136\" y1=\"360\" x2=\"152\" y2=\"360\" class=\"solid\"></line>\n",
+       "        <path d=\"M 152,360 A 4,4 0,0,1 156,364\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"364\" x2=\"156\" y2=\"388\" class=\"solid\"></line>\n",
+       "        <line x1=\"108\" y1=\"376\" x2=\"132\" y2=\"376\" class=\"solid\"></line>\n",
+       "        <path d=\"M 132,388 A 4,4 0,0,0 136,392\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"392\" x2=\"152\" y2=\"392\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,388 A 4,4 0,0,1 152,392\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 200,360 A 4,4 0,0,0 196,364\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"364\" x2=\"196\" y2=\"388\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"360\" x2=\"216\" y2=\"360\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,360 A 4,4 0,0,1 220,364\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"364\" x2=\"220\" y2=\"388\" class=\"solid\"></line>\n",
+       "        <line x1=\"156\" y1=\"376\" x2=\"196\" y2=\"376\" class=\"broken\"></line>\n",
+       "        <path d=\"M 196,388 A 4,4 0,0,0 200,392\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"392\" x2=\"216\" y2=\"392\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,388 A 4,4 0,0,1 216,392\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 136,408 A 4,4 0,0,0 132,412\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"412\" x2=\"132\" y2=\"436\" class=\"solid\"></line>\n",
+       "        <line x1=\"136\" y1=\"408\" x2=\"152\" y2=\"408\" class=\"solid\"></line>\n",
+       "        <path d=\"M 152,408 A 4,4 0,0,1 156,412\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"412\" x2=\"156\" y2=\"436\" class=\"solid\"></line>\n",
+       "        <line x1=\"112\" y1=\"424\" x2=\"132\" y2=\"424\" class=\"solid\"></line>\n",
+       "        <path d=\"M 132,436 A 4,4 0,0,0 136,440\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"440\" x2=\"152\" y2=\"440\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,436 A 4,4 0,0,1 152,440\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 200,408 A 4,4 0,0,0 196,412\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"412\" x2=\"196\" y2=\"436\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"408\" x2=\"216\" y2=\"408\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,408 A 4,4 0,0,1 220,412\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"412\" x2=\"220\" y2=\"436\" class=\"solid\"></line>\n",
+       "        <line x1=\"156\" y1=\"424\" x2=\"196\" y2=\"424\" class=\"broken\"></line>\n",
+       "        <path d=\"M 196,436 A 4,4 0,0,0 200,440\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"440\" x2=\"216\" y2=\"440\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,436 A 4,4 0,0,1 216,440\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "</svg>"
+      ],
+      "text/plain": [
+       ".---.   .~~~.   .---.   .---.\n",
+       "|i0 |p0 ┊i1 ┊p1 |i2 |p2 |i3 |\n",
+       "`---'   `~~~'   `---'   `---'\n",
+       "=============================\n",
+       ".--.  0 .~~.  0 .--.  0 .--.\n",
+       "|0 |~+~~┊0 ┊-+--|0 |~~~~|1 |\n",
+       "`--' ┊  `~~' |  `--'  1 `--'\n",
+       "     ┊       |  .--.    .--.\n",
+       "     ┊       `--|0 |~~~~|2 |\n",
+       "     ┊        2 `--'  2 `--'\n",
+       "     ┊  .~~.    .--.    .--.\n",
+       "     `~~┊1 ┊-+--|0 |~~~~|0 |\n",
+       "      2 `~~' |  `--'  3 `--'\n",
+       ".--.    .~~. |  .--.    .--.\n",
+       "|1 |~+~~┊0 ┊)|--|0 |~~~~|2 |\n",
+       "`--' ┊  `~~' |  `--'  4 `--'\n",
+       "     ┊       |  .--.    .--.\n",
+       "     ┊       `--|1 |~~~~|0 |\n",
+       "     ┊        5 `--'  5 `--'\n",
+       "     ┊  .~~.  5 .--.    .--.\n",
+       "     `~~┊1 ┊-+--|1 |~~~~|0 |\n",
+       "      4 `~~' |  `--'  6 `--'\n",
+       "             |  .--.    .--.\n",
+       "             |--|1 |~~~~|1 |\n",
+       "             |  `--'  7 `--'\n",
+       "             |  .--.    .--.\n",
+       "             `--|1 |~~~~|2 |\n",
+       "              8 `--'  8 `--'"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "text/markdown": [
+       "# DC-C-C-S"
+      ],
+      "text/plain": [
+       "<IPython.core.display.Markdown object>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "image/svg+xml": [
+       "<svg xmlns=\"http://www.w3.org/2000/svg\" width=\"240\" height=\"496\">\n",
+       "    <style>line, path, circle,rect,polygon {\n",
+       "                          stroke: black;\n",
+       "                          stroke-width: 2;\n",
+       "                          stroke-opacity: 1;\n",
+       "                          fill-opacity: 1;\n",
+       "                          stroke-linecap: round;\n",
+       "                          stroke-linejoin: miter;\n",
+       "                        }\n",
+       "\n",
+       "                    text {\n",
+       "                        /* This fix the spacing bug in svg text*/\n",
+       "                        white-space: pre;\n",
+       "                        fill: black;\n",
+       "                        }\n",
+       "                        rect.backdrop{\n",
+       "                            stroke: none;\n",
+       "                            fill: white;\n",
+       "                        }\n",
+       "                        .broken{\n",
+       "                            stroke-dasharray: 8;\n",
+       "                        }\n",
+       "                        .filled{\n",
+       "                            fill: black;\n",
+       "                        }\n",
+       "                        .bg_filled{\n",
+       "                            fill: white;\n",
+       "                        }\n",
+       "                        .nofill{\n",
+       "                            fill: white;\n",
+       "                        }\n",
+       "\n",
+       "                        text {\n",
+       "                         font-family: monospace;\n",
+       "                         font-size: 14px;\n",
+       "                        }\n",
+       "\n",
+       "                        .end_marked_arrow{\n",
+       "                            marker-end: url(#arrow);\n",
+       "                         }\n",
+       "                        .start_marked_arrow{\n",
+       "                            marker-start: url(#arrow);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_diamond{\n",
+       "                            marker-end: url(#diamond);\n",
+       "                         }\n",
+       "                        .start_marked_diamond{\n",
+       "                            marker-start: url(#diamond);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_circle{\n",
+       "                            marker-end: url(#circle);\n",
+       "                         }\n",
+       "                        .start_marked_circle{\n",
+       "                            marker-start: url(#circle);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_open_circle{\n",
+       "                            marker-end: url(#open_circle);\n",
+       "                         }\n",
+       "                        .start_marked_open_circle{\n",
+       "                            marker-start: url(#open_circle);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_big_open_circle{\n",
+       "                            marker-end: url(#big_open_circle);\n",
+       "                         }\n",
+       "                        .start_marked_big_open_circle{\n",
+       "                            marker-start: url(#big_open_circle);\n",
+       "                         }\n",
+       "\n",
+       "                         \n",
+       "                        </style>\n",
+       "    <defs>\n",
+       "        <marker id=\"arrow\" viewBox=\"-2 -2 8 8\" refX=\"4\" refY=\"2\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <polygon points=\"0,0 0,4 4,2 0,0\"></polygon>\n",
+       "        </marker>\n",
+       "        <marker id=\"diamond\" viewBox=\"-2 -2 8 8\" refX=\"4\" refY=\"2\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <polygon points=\"0,2 2,0 4,2 2,4 0,2\"></polygon>\n",
+       "        </marker>\n",
+       "        <marker id=\"circle\" viewBox=\"0 0 8 8\" refX=\"4\" refY=\"4\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <circle cx=\"4\" cy=\"4\" r=\"2\" class=\"filled\"></circle>\n",
+       "        </marker>\n",
+       "        <marker id=\"open_circle\" viewBox=\"0 0 8 8\" refX=\"4\" refY=\"4\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <circle cx=\"4\" cy=\"4\" r=\"2\" class=\"bg_filled\"></circle>\n",
+       "        </marker>\n",
+       "        <marker id=\"big_open_circle\" viewBox=\"0 0 8 8\" refX=\"4\" refY=\"4\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <circle cx=\"4\" cy=\"4\" r=\"3\" class=\"bg_filled\"></circle>\n",
+       "        </marker>\n",
+       "    </defs>\n",
+       "    <rect x=\"4\" y=\"8\" width=\"32\" height=\"32\" class=\"solid nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"10\" y=\"28\" >i0</text>\n",
+       "    <rect x=\"68\" y=\"8\" width=\"32\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"74\" y=\"28\" >i1</text>\n",
+       "    <rect x=\"132\" y=\"8\" width=\"32\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"138\" y=\"28\" >i2</text>\n",
+       "    <rect x=\"196\" y=\"8\" width=\"32\" height=\"32\" class=\"solid nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"202\" y=\"28\" >i3</text>\n",
+       "    <rect x=\"68\" y=\"72\" width=\"24\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"74\" y=\"92\" >0</text>\n",
+       "    <rect x=\"132\" y=\"72\" width=\"24\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"138\" y=\"92\" >0</text>\n",
+       "    <rect x=\"68\" y=\"168\" width=\"24\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"74\" y=\"188\" >1</text>\n",
+       "    <rect x=\"132\" y=\"168\" width=\"24\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"138\" y=\"188\" >0</text>\n",
+       "    <rect x=\"132\" y=\"216\" width=\"24\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"138\" y=\"236\" >1</text>\n",
+       "    <rect x=\"68\" y=\"264\" width=\"24\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"74\" y=\"284\" >0</text>\n",
+       "    <rect x=\"68\" y=\"360\" width=\"24\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"74\" y=\"380\" >1</text>\n",
+       "    <rect x=\"132\" y=\"408\" width=\"24\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"138\" y=\"428\" >1</text>\n",
+       "    <text x=\"42\" y=\"28\" >p0</text>\n",
+       "    <text x=\"106\" y=\"28\" >p1</text>\n",
+       "    <text x=\"170\" y=\"28\" >p2</text>\n",
+       "    <line x1=\"0\" y1=\"54\" x2=\"232\" y2=\"54\" class=\"solid\"></line>\n",
+       "    <line x1=\"0\" y1=\"58\" x2=\"232\" y2=\"58\" class=\"solid\"></line>\n",
+       "    <text x=\"50\" y=\"76\" >0</text>\n",
+       "    <text x=\"114\" y=\"76\" >0</text>\n",
+       "    <text x=\"178\" y=\"76\" >0</text>\n",
+       "    <text x=\"10\" y=\"92\" >0</text>\n",
+       "    <text x=\"202\" y=\"92\" >1</text>\n",
+       "    <text x=\"202\" y=\"108\" >2</text>\n",
+       "    <text x=\"178\" y=\"124\" >2</text>\n",
+       "    <text x=\"138\" y=\"140\" >1</text>\n",
+       "    <text x=\"114\" y=\"156\" >2</text>\n",
+       "    <text x=\"178\" y=\"172\" >2</text>\n",
+       "    <text x=\"202\" y=\"188\" >0</text>\n",
+       "    <text x=\"50\" y=\"204\" >2</text>\n",
+       "    <text x=\"202\" y=\"204\" >2</text>\n",
+       "    <text x=\"178\" y=\"220\" >4</text>\n",
+       "    <text x=\"202\" y=\"236\" >0</text>\n",
+       "    <text x=\"114\" y=\"252\" >4</text>\n",
+       "    <text x=\"178\" y=\"252\" >5</text>\n",
+       "    <text x=\"10\" y=\"284\" >1</text>\n",
+       "    <text x=\"138\" y=\"284\" >0</text>\n",
+       "    <text x=\"138\" y=\"332\" >1</text>\n",
+       "    <text x=\"114\" y=\"348\" >6</text>\n",
+       "    <text x=\"138\" y=\"380\" >0</text>\n",
+       "    <text x=\"50\" y=\"396\" >4</text>\n",
+       "    <text x=\"178\" y=\"412\" >5</text>\n",
+       "    <text x=\"202\" y=\"428\" >0</text>\n",
+       "    <text x=\"114\" y=\"444\" >8</text>\n",
+       "    <text x=\"202\" y=\"444\" >1</text>\n",
+       "    <text x=\"202\" y=\"460\" >2</text>\n",
+       "    <text x=\"178\" y=\"476\" >8</text>\n",
+       "    <text x=\"178\" y=\"316\" >5</text>\n",
+       "    <text x=\"178\" y=\"364\" >5</text>\n",
+       "    <g>\n",
+       "        <path d=\"M 8,72 A 4,4 0,0,0 4,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"4\" y1=\"76\" x2=\"4\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"8\" y1=\"72\" x2=\"24\" y2=\"72\" class=\"solid\"></line>\n",
+       "        <path d=\"M 24,72 A 4,4 0,0,1 28,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"28\" y1=\"76\" x2=\"28\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"28\" y1=\"88\" x2=\"64\" y2=\"88\" class=\"broken\"></line>\n",
+       "        <line x1=\"44\" y1=\"88\" x2=\"44\" y2=\"180\" class=\"broken\"></line>\n",
+       "        <path d=\"M 4,100 A 4,4 0,0,0 8,104\" class=\"nofill\"></path>\n",
+       "        <line x1=\"8\" y1=\"104\" x2=\"24\" y2=\"104\" class=\"solid\"></line>\n",
+       "        <path d=\"M 28,100 A 4,4 0,0,1 24,104\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 44,180 A 4,4 0,0,0 48,184\" class=\"nofill\"></path>\n",
+       "        <line x1=\"48\" y1=\"184\" x2=\"64\" y2=\"184\" class=\"broken\"></line>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 200,72 A 4,4 0,0,0 196,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"76\" x2=\"196\" y2=\"116\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"72\" x2=\"216\" y2=\"72\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,72 A 4,4 0,0,1 220,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"76\" x2=\"220\" y2=\"116\" class=\"solid\"></line>\n",
+       "        <line x1=\"160\" y1=\"88\" x2=\"196\" y2=\"88\" class=\"solid\"></line>\n",
+       "        <line x1=\"172\" y1=\"88\" x2=\"172\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <path d=\"M 172,100 A 4,4 0,0,0 176,104\" class=\"nofill\"></path>\n",
+       "        <line x1=\"176\" y1=\"104\" x2=\"196\" y2=\"104\" class=\"solid\"></line>\n",
+       "        <path d=\"M 196,116 A 4,4 0,0,0 200,120\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"120\" x2=\"216\" y2=\"120\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,116 A 4,4 0,0,1 216,120\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <line x1=\"96\" y1=\"88\" x2=\"128\" y2=\"88\" class=\"broken\"></line>\n",
+       "        <line x1=\"108\" y1=\"88\" x2=\"108\" y2=\"132\" class=\"broken\"></line>\n",
+       "        <path d=\"M 108,132 A 4,4 0,0,0 112,136\" class=\"nofill\"></path>\n",
+       "        <line x1=\"112\" y1=\"136\" x2=\"128\" y2=\"136\" class=\"broken\"></line>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 136,120 A 4,4 0,0,0 132,124\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"124\" x2=\"132\" y2=\"148\" class=\"broken\"></line>\n",
+       "        <line x1=\"136\" y1=\"120\" x2=\"152\" y2=\"120\" class=\"broken\"></line>\n",
+       "        <path d=\"M 152,120 A 4,4 0,0,1 156,124\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 152,120 A 8,8 0,0,1 158,124\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"124\" x2=\"156\" y2=\"148\" class=\"broken\"></line>\n",
+       "        <line x1=\"158\" y1=\"124\" x2=\"160\" y2=\"128\" class=\"solid\"></line>\n",
+       "        <path d=\"M 160,128 A 16,16 0,0,1 160,144\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 132,148 A 4,4 0,0,0 136,152\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"152\" x2=\"152\" y2=\"152\" class=\"broken\"></line>\n",
+       "        <line x1=\"160\" y1=\"144\" x2=\"158\" y2=\"148\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,148 A 4,4 0,0,1 152,152\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 158,148 A 8,8 0,0,1 152,152\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 200,168 A 4,4 0,0,0 196,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"172\" x2=\"196\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"168\" x2=\"216\" y2=\"168\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,168 A 4,4 0,0,1 220,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"172\" x2=\"220\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <line x1=\"160\" y1=\"184\" x2=\"196\" y2=\"184\" class=\"solid\"></line>\n",
+       "        <line x1=\"172\" y1=\"184\" x2=\"172\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <path d=\"M 172,196 A 4,4 0,0,0 176,200\" class=\"nofill\"></path>\n",
+       "        <line x1=\"176\" y1=\"200\" x2=\"196\" y2=\"200\" class=\"solid\"></line>\n",
+       "        <line x1=\"196\" y1=\"216\" x2=\"220\" y2=\"216\" class=\"solid\"></line>\n",
+       "        <line x1=\"160\" y1=\"232\" x2=\"196\" y2=\"232\" class=\"solid\"></line>\n",
+       "        <path d=\"M 196,244 A 4,4 0,0,0 200,248\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"248\" x2=\"216\" y2=\"248\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,244 A 4,4 0,0,1 216,248\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <line x1=\"96\" y1=\"184\" x2=\"128\" y2=\"184\" class=\"broken\"></line>\n",
+       "        <line x1=\"108\" y1=\"184\" x2=\"108\" y2=\"228\" class=\"broken\"></line>\n",
+       "        <path d=\"M 108,228 A 4,4 0,0,0 112,232\" class=\"nofill\"></path>\n",
+       "        <line x1=\"112\" y1=\"232\" x2=\"128\" y2=\"232\" class=\"broken\"></line>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 8,264 A 4,4 0,0,0 4,268\" class=\"nofill\"></path>\n",
+       "        <line x1=\"4\" y1=\"268\" x2=\"4\" y2=\"292\" class=\"solid\"></line>\n",
+       "        <line x1=\"8\" y1=\"264\" x2=\"24\" y2=\"264\" class=\"solid\"></line>\n",
+       "        <path d=\"M 24,264 A 4,4 0,0,1 28,268\" class=\"nofill\"></path>\n",
+       "        <line x1=\"28\" y1=\"268\" x2=\"28\" y2=\"292\" class=\"solid\"></line>\n",
+       "        <line x1=\"28\" y1=\"280\" x2=\"64\" y2=\"280\" class=\"broken\"></line>\n",
+       "        <line x1=\"44\" y1=\"280\" x2=\"44\" y2=\"372\" class=\"broken\"></line>\n",
+       "        <path d=\"M 4,292 A 4,4 0,0,0 8,296\" class=\"nofill\"></path>\n",
+       "        <line x1=\"8\" y1=\"296\" x2=\"24\" y2=\"296\" class=\"solid\"></line>\n",
+       "        <path d=\"M 28,292 A 4,4 0,0,1 24,296\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 44,372 A 4,4 0,0,0 48,376\" class=\"nofill\"></path>\n",
+       "        <line x1=\"48\" y1=\"376\" x2=\"64\" y2=\"376\" class=\"broken\"></line>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 136,264 A 4,4 0,0,0 132,268\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"268\" x2=\"132\" y2=\"292\" class=\"broken\"></line>\n",
+       "        <line x1=\"136\" y1=\"264\" x2=\"152\" y2=\"264\" class=\"broken\"></line>\n",
+       "        <path d=\"M 152,264 A 4,4 0,0,1 156,268\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 152,264 A 8,8 0,0,1 158,268\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"268\" x2=\"156\" y2=\"292\" class=\"broken\"></line>\n",
+       "        <line x1=\"158\" y1=\"268\" x2=\"160\" y2=\"272\" class=\"solid\"></line>\n",
+       "        <path d=\"M 160,272 A 16,16 0,0,1 160,288\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 132,292 A 4,4 0,0,0 136,296\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"296\" x2=\"152\" y2=\"296\" class=\"broken\"></line>\n",
+       "        <line x1=\"160\" y1=\"288\" x2=\"158\" y2=\"292\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,292 A 4,4 0,0,1 152,296\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 158,292 A 8,8 0,0,1 152,296\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <line x1=\"96\" y1=\"280\" x2=\"128\" y2=\"280\" class=\"broken\"></line>\n",
+       "        <line x1=\"108\" y1=\"280\" x2=\"108\" y2=\"324\" class=\"broken\"></line>\n",
+       "        <path d=\"M 108,324 A 4,4 0,0,0 112,328\" class=\"nofill\"></path>\n",
+       "        <line x1=\"112\" y1=\"328\" x2=\"128\" y2=\"328\" class=\"broken\"></line>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 136,312 A 4,4 0,0,0 132,316\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"316\" x2=\"132\" y2=\"340\" class=\"broken\"></line>\n",
+       "        <line x1=\"136\" y1=\"312\" x2=\"152\" y2=\"312\" class=\"broken\"></line>\n",
+       "        <path d=\"M 152,312 A 4,4 0,0,1 156,316\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 152,312 A 8,8 0,0,1 158,316\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"316\" x2=\"156\" y2=\"340\" class=\"broken\"></line>\n",
+       "        <line x1=\"158\" y1=\"316\" x2=\"160\" y2=\"320\" class=\"solid\"></line>\n",
+       "        <path d=\"M 160,320 A 16,16 0,0,1 160,336\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 132,340 A 4,4 0,0,0 136,344\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"344\" x2=\"152\" y2=\"344\" class=\"broken\"></line>\n",
+       "        <line x1=\"160\" y1=\"336\" x2=\"158\" y2=\"340\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,340 A 4,4 0,0,1 152,344\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 158,340 A 8,8 0,0,1 152,344\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 136,360 A 4,4 0,0,0 132,364\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"364\" x2=\"132\" y2=\"388\" class=\"broken\"></line>\n",
+       "        <line x1=\"136\" y1=\"360\" x2=\"152\" y2=\"360\" class=\"broken\"></line>\n",
+       "        <path d=\"M 152,360 A 4,4 0,0,1 156,364\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 152,360 A 8,8 0,0,1 158,364\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"364\" x2=\"156\" y2=\"388\" class=\"broken\"></line>\n",
+       "        <line x1=\"158\" y1=\"364\" x2=\"160\" y2=\"368\" class=\"solid\"></line>\n",
+       "        <path d=\"M 160,368 A 16,16 0,0,1 160,384\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 132,388 A 4,4 0,0,0 136,392\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"392\" x2=\"152\" y2=\"392\" class=\"broken\"></line>\n",
+       "        <line x1=\"160\" y1=\"384\" x2=\"158\" y2=\"388\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,388 A 4,4 0,0,1 152,392\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 158,388 A 8,8 0,0,1 152,392\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <line x1=\"96\" y1=\"376\" x2=\"128\" y2=\"376\" class=\"broken\"></line>\n",
+       "        <line x1=\"108\" y1=\"376\" x2=\"108\" y2=\"420\" class=\"broken\"></line>\n",
+       "        <path d=\"M 108,420 A 4,4 0,0,0 112,424\" class=\"nofill\"></path>\n",
+       "        <line x1=\"112\" y1=\"424\" x2=\"128\" y2=\"424\" class=\"broken\"></line>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 200,408 A 4,4 0,0,0 196,412\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"412\" x2=\"196\" y2=\"468\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"408\" x2=\"216\" y2=\"408\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,408 A 4,4 0,0,1 220,412\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"412\" x2=\"220\" y2=\"468\" class=\"solid\"></line>\n",
+       "        <line x1=\"160\" y1=\"424\" x2=\"196\" y2=\"424\" class=\"solid\"></line>\n",
+       "        <line x1=\"172\" y1=\"424\" x2=\"172\" y2=\"452\" class=\"solid\"></line>\n",
+       "        <line x1=\"172\" y1=\"440\" x2=\"196\" y2=\"440\" class=\"solid\"></line>\n",
+       "        <path d=\"M 172,452 A 4,4 0,0,0 176,456\" class=\"nofill\"></path>\n",
+       "        <line x1=\"176\" y1=\"456\" x2=\"196\" y2=\"456\" class=\"solid\"></line>\n",
+       "        <path d=\"M 196,468 A 4,4 0,0,0 200,472\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"472\" x2=\"216\" y2=\"472\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,468 A 4,4 0,0,1 216,472\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "</svg>"
+      ],
+      "text/plain": [
+       ".---.   .~~~.   .~~~.   .---.\n",
+       "|i0 |p0 ┊i1 ┊p1 ┊i2 ┊p2 |i3 |\n",
+       "`---'   `~~~'   `~~~'   `---'\n",
+       "=============================\n",
+       ".--.  0 .~~.  0 .~~.  0 .--.\n",
+       "|0 |~+~~┊0 ┊~+~~┊0 ┊-+--|1 |\n",
+       "`--' ┊  `~~' ┊  `~~' `--|2 |\n",
+       "     ┊       ┊  .~~.  2 `--'\n",
+       "     ┊       `~~┊1 ┊)\n",
+       "     ┊        2 `~~'\n",
+       "     ┊  .~~.    .~~.  2 .--.\n",
+       "     `~~┊1 ┊~+~~┊0 ┊-+--|0 |\n",
+       "      2 `~~' ┊  `~~' `--|2 |\n",
+       "             ┊  .~~.  4 |--|\n",
+       "             `~~┊1 ┊----|0 |\n",
+       "              4 `~~'  5 `--'\n",
+       ".--.    .~~.    .~~.\n",
+       "|1 |~+~~┊0 ┊~+~~┊0 ┊)\n",
+       "`--' ┊  `~~' ┊  `~~'\n",
+       "     ┊       ┊  .~~.  5\n",
+       "     ┊       `~~┊1 ┊)\n",
+       "     ┊        6 `~~'\n",
+       "     ┊  .~~.    .~~.  5\n",
+       "     `~~┊1 ┊~+~~┊0 ┊)\n",
+       "      4 `~~' ┊  `~~'\n",
+       "             ┊  .~~.  5 .--.\n",
+       "             `~~┊1 ┊-+--|0 |\n",
+       "              8 `~~' |--|1 |\n",
+       "                     `--|2 |\n",
+       "                      8 `--'"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "text/markdown": [
+       "# DC-C-DC-S"
+      ],
+      "text/plain": [
+       "<IPython.core.display.Markdown object>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "image/svg+xml": [
+       "<svg xmlns=\"http://www.w3.org/2000/svg\" width=\"240\" height=\"304\">\n",
+       "    <style>line, path, circle,rect,polygon {\n",
+       "                          stroke: black;\n",
+       "                          stroke-width: 2;\n",
+       "                          stroke-opacity: 1;\n",
+       "                          fill-opacity: 1;\n",
+       "                          stroke-linecap: round;\n",
+       "                          stroke-linejoin: miter;\n",
+       "                        }\n",
+       "\n",
+       "                    text {\n",
+       "                        /* This fix the spacing bug in svg text*/\n",
+       "                        white-space: pre;\n",
+       "                        fill: black;\n",
+       "                        }\n",
+       "                        rect.backdrop{\n",
+       "                            stroke: none;\n",
+       "                            fill: white;\n",
+       "                        }\n",
+       "                        .broken{\n",
+       "                            stroke-dasharray: 8;\n",
+       "                        }\n",
+       "                        .filled{\n",
+       "                            fill: black;\n",
+       "                        }\n",
+       "                        .bg_filled{\n",
+       "                            fill: white;\n",
+       "                        }\n",
+       "                        .nofill{\n",
+       "                            fill: white;\n",
+       "                        }\n",
+       "\n",
+       "                        text {\n",
+       "                         font-family: monospace;\n",
+       "                         font-size: 14px;\n",
+       "                        }\n",
+       "\n",
+       "                        .end_marked_arrow{\n",
+       "                            marker-end: url(#arrow);\n",
+       "                         }\n",
+       "                        .start_marked_arrow{\n",
+       "                            marker-start: url(#arrow);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_diamond{\n",
+       "                            marker-end: url(#diamond);\n",
+       "                         }\n",
+       "                        .start_marked_diamond{\n",
+       "                            marker-start: url(#diamond);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_circle{\n",
+       "                            marker-end: url(#circle);\n",
+       "                         }\n",
+       "                        .start_marked_circle{\n",
+       "                            marker-start: url(#circle);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_open_circle{\n",
+       "                            marker-end: url(#open_circle);\n",
+       "                         }\n",
+       "                        .start_marked_open_circle{\n",
+       "                            marker-start: url(#open_circle);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_big_open_circle{\n",
+       "                            marker-end: url(#big_open_circle);\n",
+       "                         }\n",
+       "                        .start_marked_big_open_circle{\n",
+       "                            marker-start: url(#big_open_circle);\n",
+       "                         }\n",
+       "\n",
+       "                         \n",
+       "                        </style>\n",
+       "    <defs>\n",
+       "        <marker id=\"arrow\" viewBox=\"-2 -2 8 8\" refX=\"4\" refY=\"2\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <polygon points=\"0,0 0,4 4,2 0,0\"></polygon>\n",
+       "        </marker>\n",
+       "        <marker id=\"diamond\" viewBox=\"-2 -2 8 8\" refX=\"4\" refY=\"2\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <polygon points=\"0,2 2,0 4,2 2,4 0,2\"></polygon>\n",
+       "        </marker>\n",
+       "        <marker id=\"circle\" viewBox=\"0 0 8 8\" refX=\"4\" refY=\"4\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <circle cx=\"4\" cy=\"4\" r=\"2\" class=\"filled\"></circle>\n",
+       "        </marker>\n",
+       "        <marker id=\"open_circle\" viewBox=\"0 0 8 8\" refX=\"4\" refY=\"4\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <circle cx=\"4\" cy=\"4\" r=\"2\" class=\"bg_filled\"></circle>\n",
+       "        </marker>\n",
+       "        <marker id=\"big_open_circle\" viewBox=\"0 0 8 8\" refX=\"4\" refY=\"4\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <circle cx=\"4\" cy=\"4\" r=\"3\" class=\"bg_filled\"></circle>\n",
+       "        </marker>\n",
+       "    </defs>\n",
+       "    <rect x=\"4\" y=\"8\" width=\"32\" height=\"32\" class=\"solid nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"10\" y=\"28\" >i0</text>\n",
+       "    <rect x=\"68\" y=\"8\" width=\"32\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"74\" y=\"28\" >i1</text>\n",
+       "    <rect x=\"132\" y=\"8\" width=\"32\" height=\"32\" class=\"solid nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"138\" y=\"28\" >i2</text>\n",
+       "    <rect x=\"196\" y=\"8\" width=\"32\" height=\"32\" class=\"solid nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"202\" y=\"28\" >i3</text>\n",
+       "    <rect x=\"68\" y=\"72\" width=\"24\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"74\" y=\"92\" >0</text>\n",
+       "    <rect x=\"68\" y=\"120\" width=\"24\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"74\" y=\"140\" >1</text>\n",
+       "    <rect x=\"68\" y=\"216\" width=\"24\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"74\" y=\"236\" >1</text>\n",
+       "    <text x=\"42\" y=\"28\" >p0</text>\n",
+       "    <text x=\"106\" y=\"28\" >p1</text>\n",
+       "    <text x=\"170\" y=\"28\" >p2</text>\n",
+       "    <line x1=\"0\" y1=\"54\" x2=\"232\" y2=\"54\" class=\"solid\"></line>\n",
+       "    <line x1=\"0\" y1=\"58\" x2=\"232\" y2=\"58\" class=\"solid\"></line>\n",
+       "    <text x=\"50\" y=\"76\" >0</text>\n",
+       "    <text x=\"114\" y=\"76\" >0</text>\n",
+       "    <text x=\"178\" y=\"76\" >0</text>\n",
+       "    <text x=\"10\" y=\"92\" >0</text>\n",
+       "    <text x=\"138\" y=\"92\" >0</text>\n",
+       "    <text x=\"202\" y=\"92\" >1</text>\n",
+       "    <text x=\"114\" y=\"108\" >1</text>\n",
+       "    <text x=\"202\" y=\"108\" >2</text>\n",
+       "    <text x=\"178\" y=\"124\" >2</text>\n",
+       "    <text x=\"138\" y=\"140\" >0</text>\n",
+       "    <text x=\"202\" y=\"140\" >0</text>\n",
+       "    <text x=\"50\" y=\"156\" >2</text>\n",
+       "    <text x=\"202\" y=\"156\" >2</text>\n",
+       "    <text x=\"178\" y=\"172\" >4</text>\n",
+       "    <text x=\"10\" y=\"188\" >1</text>\n",
+       "    <text x=\"74\" y=\"188\" >0</text>\n",
+       "    <text x=\"138\" y=\"188\" >1</text>\n",
+       "    <text x=\"202\" y=\"188\" >0</text>\n",
+       "    <text x=\"114\" y=\"204\" >3</text>\n",
+       "    <text x=\"178\" y=\"204\" >5</text>\n",
+       "    <text x=\"114\" y=\"220\" >3</text>\n",
+       "    <text x=\"138\" y=\"236\" >1</text>\n",
+       "    <text x=\"202\" y=\"236\" >0</text>\n",
+       "    <text x=\"50\" y=\"252\" >4</text>\n",
+       "    <text x=\"114\" y=\"252\" >4</text>\n",
+       "    <text x=\"202\" y=\"252\" >1</text>\n",
+       "    <text x=\"202\" y=\"268\" >2</text>\n",
+       "    <text x=\"178\" y=\"284\" >8</text>\n",
+       "    <g>\n",
+       "        <path d=\"M 8,72 A 4,4 0,0,0 4,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"4\" y1=\"76\" x2=\"4\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"8\" y1=\"72\" x2=\"24\" y2=\"72\" class=\"solid\"></line>\n",
+       "        <path d=\"M 24,72 A 4,4 0,0,1 28,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"28\" y1=\"76\" x2=\"28\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"28\" y1=\"88\" x2=\"64\" y2=\"88\" class=\"broken\"></line>\n",
+       "        <line x1=\"44\" y1=\"88\" x2=\"44\" y2=\"132\" class=\"broken\"></line>\n",
+       "        <path d=\"M 4,100 A 4,4 0,0,0 8,104\" class=\"nofill\"></path>\n",
+       "        <line x1=\"8\" y1=\"104\" x2=\"24\" y2=\"104\" class=\"solid\"></line>\n",
+       "        <path d=\"M 28,100 A 4,4 0,0,1 24,104\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 44,132 A 4,4 0,0,0 48,136\" class=\"nofill\"></path>\n",
+       "        <line x1=\"48\" y1=\"136\" x2=\"64\" y2=\"136\" class=\"broken\"></line>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 136,72 A 4,4 0,0,0 132,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"76\" x2=\"132\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"136\" y1=\"72\" x2=\"152\" y2=\"72\" class=\"solid\"></line>\n",
+       "        <path d=\"M 152,72 A 4,4 0,0,1 156,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"76\" x2=\"156\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"96\" y1=\"88\" x2=\"132\" y2=\"88\" class=\"solid\"></line>\n",
+       "        <path d=\"M 132,100 A 4,4 0,0,0 136,104\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"104\" x2=\"152\" y2=\"104\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,100 A 4,4 0,0,1 152,104\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 200,72 A 4,4 0,0,0 196,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"76\" x2=\"196\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"72\" x2=\"216\" y2=\"72\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,72 A 4,4 0,0,1 220,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"76\" x2=\"220\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <line x1=\"156\" y1=\"88\" x2=\"196\" y2=\"88\" class=\"solid\"></line>\n",
+       "        <line x1=\"172\" y1=\"88\" x2=\"172\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <path d=\"M 172,100 A 4,4 0,0,0 176,104\" class=\"nofill\"></path>\n",
+       "        <line x1=\"176\" y1=\"104\" x2=\"196\" y2=\"104\" class=\"solid\"></line>\n",
+       "        <line x1=\"196\" y1=\"120\" x2=\"220\" y2=\"120\" class=\"solid\"></line>\n",
+       "        <line x1=\"196\" y1=\"168\" x2=\"220\" y2=\"168\" class=\"solid\"></line>\n",
+       "        <path d=\"M 196,196 A 4,4 0,0,0 200,200\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"200\" x2=\"216\" y2=\"200\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,196 A 4,4 0,0,1 216,200\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 136,120 A 4,4 0,0,0 132,124\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"124\" x2=\"132\" y2=\"148\" class=\"solid\"></line>\n",
+       "        <line x1=\"136\" y1=\"120\" x2=\"152\" y2=\"120\" class=\"solid\"></line>\n",
+       "        <path d=\"M 152,120 A 4,4 0,0,1 156,124\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"124\" x2=\"156\" y2=\"148\" class=\"solid\"></line>\n",
+       "        <line x1=\"96\" y1=\"136\" x2=\"132\" y2=\"136\" class=\"solid\"></line>\n",
+       "        <line x1=\"108\" y1=\"136\" x2=\"108\" y2=\"180\" class=\"solid\"></line>\n",
+       "        <line x1=\"156\" y1=\"136\" x2=\"196\" y2=\"136\" class=\"solid\"></line>\n",
+       "        <line x1=\"172\" y1=\"136\" x2=\"172\" y2=\"148\" class=\"solid\"></line>\n",
+       "        <path d=\"M 132,148 A 4,4 0,0,0 136,152\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"152\" x2=\"152\" y2=\"152\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,148 A 4,4 0,0,1 152,152\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 172,148 A 4,4 0,0,0 176,152\" class=\"nofill\"></path>\n",
+       "        <line x1=\"176\" y1=\"152\" x2=\"196\" y2=\"152\" class=\"solid\"></line>\n",
+       "        <path d=\"M 108,180 A 4,4 0,0,0 112,184\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 136,168 A 4,4 0,0,0 132,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"172\" x2=\"132\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <line x1=\"136\" y1=\"168\" x2=\"152\" y2=\"168\" class=\"solid\"></line>\n",
+       "        <path d=\"M 152,168 A 4,4 0,0,1 156,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"172\" x2=\"156\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <line x1=\"112\" y1=\"184\" x2=\"132\" y2=\"184\" class=\"solid\"></line>\n",
+       "        <line x1=\"156\" y1=\"184\" x2=\"196\" y2=\"184\" class=\"solid\"></line>\n",
+       "        <path d=\"M 132,196 A 4,4 0,0,0 136,200\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"200\" x2=\"152\" y2=\"200\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,196 A 4,4 0,0,1 152,200\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 8,168 A 4,4 0,0,0 4,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"4\" y1=\"172\" x2=\"4\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <line x1=\"8\" y1=\"168\" x2=\"24\" y2=\"168\" class=\"solid\"></line>\n",
+       "        <path d=\"M 24,168 A 4,4 0,0,1 28,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"28\" y1=\"172\" x2=\"28\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <line x1=\"28\" y1=\"184\" x2=\"64\" y2=\"184\" class=\"broken\"></line>\n",
+       "        <line x1=\"44\" y1=\"184\" x2=\"44\" y2=\"228\" class=\"broken\"></line>\n",
+       "        <path d=\"M 4,196 A 4,4 0,0,0 8,200\" class=\"nofill\"></path>\n",
+       "        <line x1=\"8\" y1=\"200\" x2=\"24\" y2=\"200\" class=\"solid\"></line>\n",
+       "        <path d=\"M 28,196 A 4,4 0,0,1 24,200\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 44,228 A 4,4 0,0,0 48,232\" class=\"nofill\"></path>\n",
+       "        <line x1=\"48\" y1=\"232\" x2=\"64\" y2=\"232\" class=\"broken\"></line>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 72,168 A 4,4 0,0,0 68,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"68\" y1=\"172\" x2=\"68\" y2=\"196\" class=\"broken\"></line>\n",
+       "        <line x1=\"72\" y1=\"168\" x2=\"88\" y2=\"168\" class=\"broken\"></line>\n",
+       "        <path d=\"M 88,168 A 4,4 0,0,1 92,172\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 88,168 A 8,8 0,0,1 94,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"92\" y1=\"172\" x2=\"92\" y2=\"196\" class=\"broken\"></line>\n",
+       "        <line x1=\"94\" y1=\"172\" x2=\"96\" y2=\"176\" class=\"solid\"></line>\n",
+       "        <path d=\"M 96,176 A 16,16 0,0,1 96,192\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 68,196 A 4,4 0,0,0 72,200\" class=\"nofill\"></path>\n",
+       "        <line x1=\"72\" y1=\"200\" x2=\"88\" y2=\"200\" class=\"broken\"></line>\n",
+       "        <line x1=\"96\" y1=\"192\" x2=\"94\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <path d=\"M 92,196 A 4,4 0,0,1 88,200\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 94,196 A 8,8 0,0,1 88,200\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 136,216 A 4,4 0,0,0 132,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"220\" x2=\"132\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <line x1=\"136\" y1=\"216\" x2=\"152\" y2=\"216\" class=\"solid\"></line>\n",
+       "        <path d=\"M 152,216 A 4,4 0,0,1 156,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"220\" x2=\"156\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <line x1=\"96\" y1=\"232\" x2=\"132\" y2=\"232\" class=\"solid\"></line>\n",
+       "        <path d=\"M 132,244 A 4,4 0,0,0 136,248\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"248\" x2=\"152\" y2=\"248\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,244 A 4,4 0,0,1 152,248\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 200,216 A 4,4 0,0,0 196,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"220\" x2=\"196\" y2=\"276\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"216\" x2=\"216\" y2=\"216\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,216 A 4,4 0,0,1 220,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"220\" x2=\"220\" y2=\"276\" class=\"solid\"></line>\n",
+       "        <line x1=\"156\" y1=\"232\" x2=\"196\" y2=\"232\" class=\"solid\"></line>\n",
+       "        <line x1=\"172\" y1=\"232\" x2=\"172\" y2=\"260\" class=\"solid\"></line>\n",
+       "        <line x1=\"172\" y1=\"248\" x2=\"196\" y2=\"248\" class=\"solid\"></line>\n",
+       "        <path d=\"M 172,260 A 4,4 0,0,0 176,264\" class=\"nofill\"></path>\n",
+       "        <line x1=\"176\" y1=\"264\" x2=\"196\" y2=\"264\" class=\"solid\"></line>\n",
+       "        <path d=\"M 196,276 A 4,4 0,0,0 200,280\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"280\" x2=\"216\" y2=\"280\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,276 A 4,4 0,0,1 216,280\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "</svg>"
+      ],
+      "text/plain": [
+       ".---.   .~~~.   .---.   .---.\n",
+       "|i0 |p0 ┊i1 ┊p1 |i2 |p2 |i3 |\n",
+       "`---'   `~~~'   `---'   `---'\n",
+       "=============================\n",
+       ".--.  0 .~~.  0 .--.  0 .--.\n",
+       "|0 |~+~~┊0 ┊----|0 |-+--|1 |\n",
+       "`--' ┊  `~~'  1 `--' `--|2 |\n",
+       "     ┊  .~~.    .--.  2 |--|\n",
+       "     `~~┊1 ┊-+--|0 |-+--|0 |\n",
+       "      2 `~~' |  `--' `--|2 |\n",
+       ".--.    .~~. |  .--.  4 |--|\n",
+       "|1 |~+~~┊0 ┊)`--|1 |----|0 |\n",
+       "`--' ┊  `~~'  3 `--'  5 `--'\n",
+       "     ┊  .~~.  3 .--.    .--.\n",
+       "     `~~┊1 ┊----|1 |-+--|0 |\n",
+       "      4 `~~'  4 `--' |--|1 |\n",
+       "                     `--|2 |\n",
+       "                      8 `--'"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "text/markdown": [
+       "# DC-DC-C-S"
+      ],
+      "text/plain": [
+       "<IPython.core.display.Markdown object>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "image/svg+xml": [
+       "<svg xmlns=\"http://www.w3.org/2000/svg\" width=\"240\" height=\"400\">\n",
+       "    <style>line, path, circle,rect,polygon {\n",
+       "                          stroke: black;\n",
+       "                          stroke-width: 2;\n",
+       "                          stroke-opacity: 1;\n",
+       "                          fill-opacity: 1;\n",
+       "                          stroke-linecap: round;\n",
+       "                          stroke-linejoin: miter;\n",
+       "                        }\n",
+       "\n",
+       "                    text {\n",
+       "                        /* This fix the spacing bug in svg text*/\n",
+       "                        white-space: pre;\n",
+       "                        fill: black;\n",
+       "                        }\n",
+       "                        rect.backdrop{\n",
+       "                            stroke: none;\n",
+       "                            fill: white;\n",
+       "                        }\n",
+       "                        .broken{\n",
+       "                            stroke-dasharray: 8;\n",
+       "                        }\n",
+       "                        .filled{\n",
+       "                            fill: black;\n",
+       "                        }\n",
+       "                        .bg_filled{\n",
+       "                            fill: white;\n",
+       "                        }\n",
+       "                        .nofill{\n",
+       "                            fill: white;\n",
+       "                        }\n",
+       "\n",
+       "                        text {\n",
+       "                         font-family: monospace;\n",
+       "                         font-size: 14px;\n",
+       "                        }\n",
+       "\n",
+       "                        .end_marked_arrow{\n",
+       "                            marker-end: url(#arrow);\n",
+       "                         }\n",
+       "                        .start_marked_arrow{\n",
+       "                            marker-start: url(#arrow);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_diamond{\n",
+       "                            marker-end: url(#diamond);\n",
+       "                         }\n",
+       "                        .start_marked_diamond{\n",
+       "                            marker-start: url(#diamond);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_circle{\n",
+       "                            marker-end: url(#circle);\n",
+       "                         }\n",
+       "                        .start_marked_circle{\n",
+       "                            marker-start: url(#circle);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_open_circle{\n",
+       "                            marker-end: url(#open_circle);\n",
+       "                         }\n",
+       "                        .start_marked_open_circle{\n",
+       "                            marker-start: url(#open_circle);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_big_open_circle{\n",
+       "                            marker-end: url(#big_open_circle);\n",
+       "                         }\n",
+       "                        .start_marked_big_open_circle{\n",
+       "                            marker-start: url(#big_open_circle);\n",
+       "                         }\n",
+       "\n",
+       "                         \n",
+       "                        </style>\n",
+       "    <defs>\n",
+       "        <marker id=\"arrow\" viewBox=\"-2 -2 8 8\" refX=\"4\" refY=\"2\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <polygon points=\"0,0 0,4 4,2 0,0\"></polygon>\n",
+       "        </marker>\n",
+       "        <marker id=\"diamond\" viewBox=\"-2 -2 8 8\" refX=\"4\" refY=\"2\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <polygon points=\"0,2 2,0 4,2 2,4 0,2\"></polygon>\n",
+       "        </marker>\n",
+       "        <marker id=\"circle\" viewBox=\"0 0 8 8\" refX=\"4\" refY=\"4\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <circle cx=\"4\" cy=\"4\" r=\"2\" class=\"filled\"></circle>\n",
+       "        </marker>\n",
+       "        <marker id=\"open_circle\" viewBox=\"0 0 8 8\" refX=\"4\" refY=\"4\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <circle cx=\"4\" cy=\"4\" r=\"2\" class=\"bg_filled\"></circle>\n",
+       "        </marker>\n",
+       "        <marker id=\"big_open_circle\" viewBox=\"0 0 8 8\" refX=\"4\" refY=\"4\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <circle cx=\"4\" cy=\"4\" r=\"3\" class=\"bg_filled\"></circle>\n",
+       "        </marker>\n",
+       "    </defs>\n",
+       "    <rect x=\"4\" y=\"8\" width=\"32\" height=\"32\" class=\"solid nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"10\" y=\"28\" >i0</text>\n",
+       "    <rect x=\"68\" y=\"8\" width=\"32\" height=\"32\" class=\"solid nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"74\" y=\"28\" >i1</text>\n",
+       "    <rect x=\"132\" y=\"8\" width=\"32\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"138\" y=\"28\" >i2</text>\n",
+       "    <rect x=\"196\" y=\"8\" width=\"32\" height=\"32\" class=\"solid nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"202\" y=\"28\" >i3</text>\n",
+       "    <rect x=\"132\" y=\"72\" width=\"24\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"138\" y=\"92\" >0</text>\n",
+       "    <rect x=\"132\" y=\"168\" width=\"24\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"138\" y=\"188\" >0</text>\n",
+       "    <rect x=\"132\" y=\"216\" width=\"24\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"138\" y=\"236\" >1</text>\n",
+       "    <rect x=\"132\" y=\"312\" width=\"24\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"138\" y=\"332\" >1</text>\n",
+       "    <text x=\"42\" y=\"28\" >p0</text>\n",
+       "    <text x=\"106\" y=\"28\" >p1</text>\n",
+       "    <text x=\"170\" y=\"28\" >p2</text>\n",
+       "    <line x1=\"0\" y1=\"54\" x2=\"232\" y2=\"54\" class=\"solid\"></line>\n",
+       "    <line x1=\"0\" y1=\"58\" x2=\"232\" y2=\"58\" class=\"solid\"></line>\n",
+       "    <text x=\"50\" y=\"76\" >0</text>\n",
+       "    <text x=\"114\" y=\"76\" >0</text>\n",
+       "    <text x=\"178\" y=\"76\" >0</text>\n",
+       "    <text x=\"10\" y=\"92\" >0</text>\n",
+       "    <text x=\"74\" y=\"92\" >0</text>\n",
+       "    <text x=\"202\" y=\"92\" >1</text>\n",
+       "    <text x=\"202\" y=\"108\" >2</text>\n",
+       "    <text x=\"178\" y=\"124\" >2</text>\n",
+       "    <text x=\"138\" y=\"140\" >1</text>\n",
+       "    <text x=\"114\" y=\"156\" >2</text>\n",
+       "    <text x=\"178\" y=\"172\" >2</text>\n",
+       "    <text x=\"74\" y=\"188\" >1</text>\n",
+       "    <text x=\"202\" y=\"188\" >0</text>\n",
+       "    <text x=\"50\" y=\"204\" >2</text>\n",
+       "    <text x=\"202\" y=\"204\" >2</text>\n",
+       "    <text x=\"178\" y=\"220\" >4</text>\n",
+       "    <text x=\"202\" y=\"236\" >0</text>\n",
+       "    <text x=\"114\" y=\"252\" >4</text>\n",
+       "    <text x=\"178\" y=\"252\" >5</text>\n",
+       "    <text x=\"10\" y=\"284\" >1</text>\n",
+       "    <text x=\"74\" y=\"284\" >1</text>\n",
+       "    <text x=\"138\" y=\"284\" >0</text>\n",
+       "    <text x=\"50\" y=\"300\" >3</text>\n",
+       "    <text x=\"178\" y=\"316\" >5</text>\n",
+       "    <text x=\"202\" y=\"332\" >0</text>\n",
+       "    <text x=\"114\" y=\"348\" >6</text>\n",
+       "    <text x=\"202\" y=\"348\" >1</text>\n",
+       "    <text x=\"202\" y=\"364\" >2</text>\n",
+       "    <text x=\"178\" y=\"380\" >8</text>\n",
+       "    <g>\n",
+       "        <path d=\"M 8,72 A 4,4 0,0,0 4,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"4\" y1=\"76\" x2=\"4\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"8\" y1=\"72\" x2=\"24\" y2=\"72\" class=\"solid\"></line>\n",
+       "        <path d=\"M 24,72 A 4,4 0,0,1 28,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"28\" y1=\"76\" x2=\"28\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <path d=\"M 4,100 A 4,4 0,0,0 8,104\" class=\"nofill\"></path>\n",
+       "        <line x1=\"8\" y1=\"104\" x2=\"24\" y2=\"104\" class=\"solid\"></line>\n",
+       "        <path d=\"M 28,100 A 4,4 0,0,1 24,104\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 72,72 A 4,4 0,0,0 68,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"68\" y1=\"76\" x2=\"68\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"72\" y1=\"72\" x2=\"88\" y2=\"72\" class=\"solid\"></line>\n",
+       "        <path d=\"M 88,72 A 4,4 0,0,1 92,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"92\" y1=\"76\" x2=\"92\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"28\" y1=\"88\" x2=\"68\" y2=\"88\" class=\"solid\"></line>\n",
+       "        <line x1=\"44\" y1=\"88\" x2=\"44\" y2=\"180\" class=\"solid\"></line>\n",
+       "        <line x1=\"92\" y1=\"88\" x2=\"128\" y2=\"88\" class=\"broken\"></line>\n",
+       "        <line x1=\"108\" y1=\"88\" x2=\"108\" y2=\"132\" class=\"broken\"></line>\n",
+       "        <path d=\"M 68,100 A 4,4 0,0,0 72,104\" class=\"nofill\"></path>\n",
+       "        <line x1=\"72\" y1=\"104\" x2=\"88\" y2=\"104\" class=\"solid\"></line>\n",
+       "        <path d=\"M 92,100 A 4,4 0,0,1 88,104\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 108,132 A 4,4 0,0,0 112,136\" class=\"nofill\"></path>\n",
+       "        <line x1=\"112\" y1=\"136\" x2=\"128\" y2=\"136\" class=\"broken\"></line>\n",
+       "        <path d=\"M 44,180 A 4,4 0,0,0 48,184\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 72,168 A 4,4 0,0,0 68,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"68\" y1=\"172\" x2=\"68\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <line x1=\"72\" y1=\"168\" x2=\"88\" y2=\"168\" class=\"solid\"></line>\n",
+       "        <path d=\"M 88,168 A 4,4 0,0,1 92,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"92\" y1=\"172\" x2=\"92\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <line x1=\"48\" y1=\"184\" x2=\"68\" y2=\"184\" class=\"solid\"></line>\n",
+       "        <line x1=\"92\" y1=\"184\" x2=\"128\" y2=\"184\" class=\"broken\"></line>\n",
+       "        <line x1=\"108\" y1=\"184\" x2=\"108\" y2=\"228\" class=\"broken\"></line>\n",
+       "        <path d=\"M 68,196 A 4,4 0,0,0 72,200\" class=\"nofill\"></path>\n",
+       "        <line x1=\"72\" y1=\"200\" x2=\"88\" y2=\"200\" class=\"solid\"></line>\n",
+       "        <path d=\"M 92,196 A 4,4 0,0,1 88,200\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 108,228 A 4,4 0,0,0 112,232\" class=\"nofill\"></path>\n",
+       "        <line x1=\"112\" y1=\"232\" x2=\"128\" y2=\"232\" class=\"broken\"></line>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 200,72 A 4,4 0,0,0 196,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"76\" x2=\"196\" y2=\"116\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"72\" x2=\"216\" y2=\"72\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,72 A 4,4 0,0,1 220,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"76\" x2=\"220\" y2=\"116\" class=\"solid\"></line>\n",
+       "        <line x1=\"160\" y1=\"88\" x2=\"196\" y2=\"88\" class=\"solid\"></line>\n",
+       "        <line x1=\"172\" y1=\"88\" x2=\"172\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <path d=\"M 172,100 A 4,4 0,0,0 176,104\" class=\"nofill\"></path>\n",
+       "        <line x1=\"176\" y1=\"104\" x2=\"196\" y2=\"104\" class=\"solid\"></line>\n",
+       "        <path d=\"M 196,116 A 4,4 0,0,0 200,120\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"120\" x2=\"216\" y2=\"120\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,116 A 4,4 0,0,1 216,120\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 136,120 A 4,4 0,0,0 132,124\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"124\" x2=\"132\" y2=\"148\" class=\"broken\"></line>\n",
+       "        <line x1=\"136\" y1=\"120\" x2=\"152\" y2=\"120\" class=\"broken\"></line>\n",
+       "        <path d=\"M 152,120 A 4,4 0,0,1 156,124\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 152,120 A 8,8 0,0,1 158,124\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"124\" x2=\"156\" y2=\"148\" class=\"broken\"></line>\n",
+       "        <line x1=\"158\" y1=\"124\" x2=\"160\" y2=\"128\" class=\"solid\"></line>\n",
+       "        <path d=\"M 160,128 A 16,16 0,0,1 160,144\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 132,148 A 4,4 0,0,0 136,152\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"152\" x2=\"152\" y2=\"152\" class=\"broken\"></line>\n",
+       "        <line x1=\"160\" y1=\"144\" x2=\"158\" y2=\"148\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,148 A 4,4 0,0,1 152,152\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 158,148 A 8,8 0,0,1 152,152\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 200,168 A 4,4 0,0,0 196,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"172\" x2=\"196\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"168\" x2=\"216\" y2=\"168\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,168 A 4,4 0,0,1 220,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"172\" x2=\"220\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <line x1=\"160\" y1=\"184\" x2=\"196\" y2=\"184\" class=\"solid\"></line>\n",
+       "        <line x1=\"172\" y1=\"184\" x2=\"172\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <path d=\"M 172,196 A 4,4 0,0,0 176,200\" class=\"nofill\"></path>\n",
+       "        <line x1=\"176\" y1=\"200\" x2=\"196\" y2=\"200\" class=\"solid\"></line>\n",
+       "        <line x1=\"196\" y1=\"216\" x2=\"220\" y2=\"216\" class=\"solid\"></line>\n",
+       "        <line x1=\"160\" y1=\"232\" x2=\"196\" y2=\"232\" class=\"solid\"></line>\n",
+       "        <path d=\"M 196,244 A 4,4 0,0,0 200,248\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"248\" x2=\"216\" y2=\"248\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,244 A 4,4 0,0,1 216,248\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 8,264 A 4,4 0,0,0 4,268\" class=\"nofill\"></path>\n",
+       "        <line x1=\"4\" y1=\"268\" x2=\"4\" y2=\"292\" class=\"solid\"></line>\n",
+       "        <line x1=\"8\" y1=\"264\" x2=\"24\" y2=\"264\" class=\"solid\"></line>\n",
+       "        <path d=\"M 24,264 A 4,4 0,0,1 28,268\" class=\"nofill\"></path>\n",
+       "        <line x1=\"28\" y1=\"268\" x2=\"28\" y2=\"292\" class=\"solid\"></line>\n",
+       "        <path d=\"M 4,292 A 4,4 0,0,0 8,296\" class=\"nofill\"></path>\n",
+       "        <line x1=\"8\" y1=\"296\" x2=\"24\" y2=\"296\" class=\"solid\"></line>\n",
+       "        <path d=\"M 28,292 A 4,4 0,0,1 24,296\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 72,264 A 4,4 0,0,0 68,268\" class=\"nofill\"></path>\n",
+       "        <line x1=\"68\" y1=\"268\" x2=\"68\" y2=\"292\" class=\"solid\"></line>\n",
+       "        <line x1=\"72\" y1=\"264\" x2=\"88\" y2=\"264\" class=\"solid\"></line>\n",
+       "        <path d=\"M 88,264 A 4,4 0,0,1 92,268\" class=\"nofill\"></path>\n",
+       "        <line x1=\"92\" y1=\"268\" x2=\"92\" y2=\"292\" class=\"solid\"></line>\n",
+       "        <line x1=\"28\" y1=\"280\" x2=\"68\" y2=\"280\" class=\"solid\"></line>\n",
+       "        <line x1=\"92\" y1=\"280\" x2=\"128\" y2=\"280\" class=\"broken\"></line>\n",
+       "        <line x1=\"108\" y1=\"280\" x2=\"108\" y2=\"324\" class=\"broken\"></line>\n",
+       "        <path d=\"M 68,292 A 4,4 0,0,0 72,296\" class=\"nofill\"></path>\n",
+       "        <line x1=\"72\" y1=\"296\" x2=\"88\" y2=\"296\" class=\"solid\"></line>\n",
+       "        <path d=\"M 92,292 A 4,4 0,0,1 88,296\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 108,324 A 4,4 0,0,0 112,328\" class=\"nofill\"></path>\n",
+       "        <line x1=\"112\" y1=\"328\" x2=\"128\" y2=\"328\" class=\"broken\"></line>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 136,264 A 4,4 0,0,0 132,268\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"268\" x2=\"132\" y2=\"292\" class=\"broken\"></line>\n",
+       "        <line x1=\"136\" y1=\"264\" x2=\"152\" y2=\"264\" class=\"broken\"></line>\n",
+       "        <path d=\"M 152,264 A 4,4 0,0,1 156,268\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 152,264 A 8,8 0,0,1 158,268\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"268\" x2=\"156\" y2=\"292\" class=\"broken\"></line>\n",
+       "        <line x1=\"158\" y1=\"268\" x2=\"160\" y2=\"272\" class=\"solid\"></line>\n",
+       "        <path d=\"M 160,272 A 16,16 0,0,1 160,288\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 132,292 A 4,4 0,0,0 136,296\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"296\" x2=\"152\" y2=\"296\" class=\"broken\"></line>\n",
+       "        <line x1=\"160\" y1=\"288\" x2=\"158\" y2=\"292\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,292 A 4,4 0,0,1 152,296\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 158,292 A 8,8 0,0,1 152,296\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 200,312 A 4,4 0,0,0 196,316\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"316\" x2=\"196\" y2=\"372\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"312\" x2=\"216\" y2=\"312\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,312 A 4,4 0,0,1 220,316\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"316\" x2=\"220\" y2=\"372\" class=\"solid\"></line>\n",
+       "        <line x1=\"160\" y1=\"328\" x2=\"196\" y2=\"328\" class=\"solid\"></line>\n",
+       "        <line x1=\"172\" y1=\"328\" x2=\"172\" y2=\"356\" class=\"solid\"></line>\n",
+       "        <line x1=\"172\" y1=\"344\" x2=\"196\" y2=\"344\" class=\"solid\"></line>\n",
+       "        <path d=\"M 172,356 A 4,4 0,0,0 176,360\" class=\"nofill\"></path>\n",
+       "        <line x1=\"176\" y1=\"360\" x2=\"196\" y2=\"360\" class=\"solid\"></line>\n",
+       "        <path d=\"M 196,372 A 4,4 0,0,0 200,376\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"376\" x2=\"216\" y2=\"376\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,372 A 4,4 0,0,1 216,376\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "</svg>"
+      ],
+      "text/plain": [
+       ".---.   .---.   .~~~.   .---.\n",
+       "|i0 |p0 |i1 |p1 ┊i2 ┊p2 |i3 |\n",
+       "`---'   `---'   `~~~'   `---'\n",
+       "=============================\n",
+       ".--.  0 .--.  0 .~~.  0 .--.\n",
+       "|0 |-+--|0 |~+~~┊0 ┊-+--|1 |\n",
+       "`--' |  `--' ┊  `~~' `--|2 |\n",
+       "     |       ┊  .~~.  2 `--'\n",
+       "     |       `~~┊1 ┊)\n",
+       "     |        2 `~~'\n",
+       "     |  .--.    .~~.  2 .--.\n",
+       "     `--|1 |~+~~┊0 ┊-+--|0 |\n",
+       "      2 `--' ┊  `~~' `--|2 |\n",
+       "             ┊  .~~.  4 |--|\n",
+       "             `~~┊1 ┊----|0 |\n",
+       "              4 `~~'  5 `--'\n",
+       ".--.    .--.    .~~.\n",
+       "|1 |----|1 |~+~~┊0 ┊)\n",
+       "`--'  3 `--' ┊  `~~'\n",
+       "             ┊  .~~.  5 .--.\n",
+       "             `~~┊1 ┊-+--|0 |\n",
+       "              6 `~~' |--|1 |\n",
+       "                     `--|2 |\n",
+       "                      8 `--'"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "sparsities = [\"S\", \"C\", \"DC\"]\n",
+    "for sparsity in itertools.product(sparsities, sparsities, sparsities, [\"S\"]):\n",
+    "    if \"C\" not in sparsity:\n",
+    "        continue\n",
+    "    structure = \"-\".join(sparsity)\n",
+    "    IPython.display.display(IPython.display.Markdown(f\"# {structure}\"))\n",
+    "    IPython.display.display(SPZ(indices, shape=(2, 2, 2, 3), structure=structure))"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "1131a918",
+   "metadata": {},
+   "source": [
+    "## Display sparse structures, `shape=(3, 3, 3, 3)`"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 9,
+   "id": "95577c70",
+   "metadata": {
+    "scrolled": false
+   },
+   "outputs": [
+    {
+     "data": {
+      "text/markdown": [
+       "# S-S-C-S"
+      ],
+      "text/plain": [
+       "<IPython.core.display.Markdown object>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "image/svg+xml": [
+       "<svg xmlns=\"http://www.w3.org/2000/svg\" width=\"240\" height=\"528\">\n",
+       "    <style>line, path, circle,rect,polygon {\n",
+       "                          stroke: black;\n",
+       "                          stroke-width: 2;\n",
+       "                          stroke-opacity: 1;\n",
+       "                          fill-opacity: 1;\n",
+       "                          stroke-linecap: round;\n",
+       "                          stroke-linejoin: miter;\n",
+       "                        }\n",
+       "\n",
+       "                    text {\n",
+       "                        /* This fix the spacing bug in svg text*/\n",
+       "                        white-space: pre;\n",
+       "                        fill: black;\n",
+       "                        }\n",
+       "                        rect.backdrop{\n",
+       "                            stroke: none;\n",
+       "                            fill: white;\n",
+       "                        }\n",
+       "                        .broken{\n",
+       "                            stroke-dasharray: 8;\n",
+       "                        }\n",
+       "                        .filled{\n",
+       "                            fill: black;\n",
+       "                        }\n",
+       "                        .bg_filled{\n",
+       "                            fill: white;\n",
+       "                        }\n",
+       "                        .nofill{\n",
+       "                            fill: white;\n",
+       "                        }\n",
+       "\n",
+       "                        text {\n",
+       "                         font-family: monospace;\n",
+       "                         font-size: 14px;\n",
+       "                        }\n",
+       "\n",
+       "                        .end_marked_arrow{\n",
+       "                            marker-end: url(#arrow);\n",
+       "                         }\n",
+       "                        .start_marked_arrow{\n",
+       "                            marker-start: url(#arrow);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_diamond{\n",
+       "                            marker-end: url(#diamond);\n",
+       "                         }\n",
+       "                        .start_marked_diamond{\n",
+       "                            marker-start: url(#diamond);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_circle{\n",
+       "                            marker-end: url(#circle);\n",
+       "                         }\n",
+       "                        .start_marked_circle{\n",
+       "                            marker-start: url(#circle);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_open_circle{\n",
+       "                            marker-end: url(#open_circle);\n",
+       "                         }\n",
+       "                        .start_marked_open_circle{\n",
+       "                            marker-start: url(#open_circle);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_big_open_circle{\n",
+       "                            marker-end: url(#big_open_circle);\n",
+       "                         }\n",
+       "                        .start_marked_big_open_circle{\n",
+       "                            marker-start: url(#big_open_circle);\n",
+       "                         }\n",
+       "\n",
+       "                         \n",
+       "                        </style>\n",
+       "    <defs>\n",
+       "        <marker id=\"arrow\" viewBox=\"-2 -2 8 8\" refX=\"4\" refY=\"2\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <polygon points=\"0,0 0,4 4,2 0,0\"></polygon>\n",
+       "        </marker>\n",
+       "        <marker id=\"diamond\" viewBox=\"-2 -2 8 8\" refX=\"4\" refY=\"2\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <polygon points=\"0,2 2,0 4,2 2,4 0,2\"></polygon>\n",
+       "        </marker>\n",
+       "        <marker id=\"circle\" viewBox=\"0 0 8 8\" refX=\"4\" refY=\"4\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <circle cx=\"4\" cy=\"4\" r=\"2\" class=\"filled\"></circle>\n",
+       "        </marker>\n",
+       "        <marker id=\"open_circle\" viewBox=\"0 0 8 8\" refX=\"4\" refY=\"4\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <circle cx=\"4\" cy=\"4\" r=\"2\" class=\"bg_filled\"></circle>\n",
+       "        </marker>\n",
+       "        <marker id=\"big_open_circle\" viewBox=\"0 0 8 8\" refX=\"4\" refY=\"4\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <circle cx=\"4\" cy=\"4\" r=\"3\" class=\"bg_filled\"></circle>\n",
+       "        </marker>\n",
+       "    </defs>\n",
+       "    <rect x=\"4\" y=\"8\" width=\"32\" height=\"32\" class=\"solid nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"10\" y=\"28\" >i0</text>\n",
+       "    <rect x=\"68\" y=\"8\" width=\"32\" height=\"32\" class=\"solid nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"74\" y=\"28\" >i1</text>\n",
+       "    <rect x=\"132\" y=\"8\" width=\"32\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"138\" y=\"28\" >i2</text>\n",
+       "    <rect x=\"196\" y=\"8\" width=\"32\" height=\"32\" class=\"solid nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"202\" y=\"28\" >i3</text>\n",
+       "    <rect x=\"132\" y=\"72\" width=\"24\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"138\" y=\"92\" >0</text>\n",
+       "    <rect x=\"132\" y=\"216\" width=\"24\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"138\" y=\"236\" >0</text>\n",
+       "    <rect x=\"132\" y=\"264\" width=\"24\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"138\" y=\"284\" >1</text>\n",
+       "    <rect x=\"132\" y=\"408\" width=\"24\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"138\" y=\"428\" >1</text>\n",
+       "    <text x=\"42\" y=\"28\" >p0</text>\n",
+       "    <text x=\"106\" y=\"28\" >p1</text>\n",
+       "    <text x=\"170\" y=\"28\" >p2</text>\n",
+       "    <line x1=\"0\" y1=\"54\" x2=\"232\" y2=\"54\" class=\"solid\"></line>\n",
+       "    <line x1=\"0\" y1=\"58\" x2=\"232\" y2=\"58\" class=\"solid\"></line>\n",
+       "    <text x=\"50\" y=\"76\" >0</text>\n",
+       "    <text x=\"114\" y=\"76\" >0</text>\n",
+       "    <text x=\"178\" y=\"76\" >0</text>\n",
+       "    <text x=\"10\" y=\"92\" >0</text>\n",
+       "    <text x=\"74\" y=\"92\" >0</text>\n",
+       "    <text x=\"202\" y=\"92\" >1</text>\n",
+       "    <text x=\"50\" y=\"108\" >1</text>\n",
+       "    <text x=\"114\" y=\"108\" >1</text>\n",
+       "    <text x=\"202\" y=\"108\" >2</text>\n",
+       "    <text x=\"178\" y=\"124\" >2</text>\n",
+       "    <text x=\"10\" y=\"140\" >0</text>\n",
+       "    <text x=\"74\" y=\"140\" >0</text>\n",
+       "    <text x=\"138\" y=\"140\" >1</text>\n",
+       "    <text x=\"50\" y=\"156\" >2</text>\n",
+       "    <text x=\"114\" y=\"156\" >2</text>\n",
+       "    <text x=\"10\" y=\"188\" >0</text>\n",
+       "    <text x=\"74\" y=\"188\" >0</text>\n",
+       "    <text x=\"138\" y=\"188\" >2</text>\n",
+       "    <text x=\"50\" y=\"204\" >3</text>\n",
+       "    <text x=\"114\" y=\"204\" >3</text>\n",
+       "    <text x=\"178\" y=\"220\" >2</text>\n",
+       "    <text x=\"10\" y=\"236\" >0</text>\n",
+       "    <text x=\"74\" y=\"236\" >1</text>\n",
+       "    <text x=\"202\" y=\"236\" >0</text>\n",
+       "    <text x=\"50\" y=\"252\" >4</text>\n",
+       "    <text x=\"114\" y=\"252\" >4</text>\n",
+       "    <text x=\"202\" y=\"252\" >2</text>\n",
+       "    <text x=\"178\" y=\"268\" >4</text>\n",
+       "    <text x=\"10\" y=\"284\" >0</text>\n",
+       "    <text x=\"74\" y=\"284\" >1</text>\n",
+       "    <text x=\"202\" y=\"284\" >0</text>\n",
+       "    <text x=\"50\" y=\"300\" >5</text>\n",
+       "    <text x=\"114\" y=\"300\" >5</text>\n",
+       "    <text x=\"178\" y=\"300\" >5</text>\n",
+       "    <text x=\"10\" y=\"332\" >0</text>\n",
+       "    <text x=\"74\" y=\"332\" >1</text>\n",
+       "    <text x=\"138\" y=\"332\" >2</text>\n",
+       "    <text x=\"50\" y=\"348\" >6</text>\n",
+       "    <text x=\"114\" y=\"348\" >6</text>\n",
+       "    <text x=\"10\" y=\"380\" >1</text>\n",
+       "    <text x=\"74\" y=\"380\" >1</text>\n",
+       "    <text x=\"138\" y=\"380\" >0</text>\n",
+       "    <text x=\"50\" y=\"396\" >7</text>\n",
+       "    <text x=\"114\" y=\"396\" >7</text>\n",
+       "    <text x=\"178\" y=\"412\" >5</text>\n",
+       "    <text x=\"10\" y=\"428\" >1</text>\n",
+       "    <text x=\"74\" y=\"428\" >1</text>\n",
+       "    <text x=\"202\" y=\"428\" >0</text>\n",
+       "    <text x=\"50\" y=\"444\" >8</text>\n",
+       "    <text x=\"114\" y=\"444\" >8</text>\n",
+       "    <text x=\"202\" y=\"444\" >1</text>\n",
+       "    <text x=\"202\" y=\"460\" >2</text>\n",
+       "    <text x=\"178\" y=\"476\" >8</text>\n",
+       "    <text x=\"178\" y=\"172\" >2</text>\n",
+       "    <text x=\"178\" y=\"364\" >5</text>\n",
+       "    <text x=\"10\" y=\"492\" >1</text>\n",
+       "    <text x=\"74\" y=\"492\" >1</text>\n",
+       "    <text x=\"138\" y=\"492\" >2</text>\n",
+       "    <text x=\"50\" y=\"508\" >9</text>\n",
+       "    <text x=\"114\" y=\"508\" >9</text>\n",
+       "    <text x=\"178\" y=\"508\" >8</text>\n",
+       "    <g>\n",
+       "        <path d=\"M 8,72 A 4,4 0,0,0 4,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"4\" y1=\"76\" x2=\"4\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"8\" y1=\"72\" x2=\"24\" y2=\"72\" class=\"solid\"></line>\n",
+       "        <path d=\"M 24,72 A 4,4 0,0,1 28,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"28\" y1=\"76\" x2=\"28\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <path d=\"M 4,100 A 4,4 0,0,0 8,104\" class=\"nofill\"></path>\n",
+       "        <line x1=\"8\" y1=\"104\" x2=\"24\" y2=\"104\" class=\"solid\"></line>\n",
+       "        <path d=\"M 28,100 A 4,4 0,0,1 24,104\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 72,72 A 4,4 0,0,0 68,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"68\" y1=\"76\" x2=\"68\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"72\" y1=\"72\" x2=\"88\" y2=\"72\" class=\"solid\"></line>\n",
+       "        <path d=\"M 88,72 A 4,4 0,0,1 92,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"92\" y1=\"76\" x2=\"92\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"28\" y1=\"88\" x2=\"68\" y2=\"88\" class=\"broken\"></line>\n",
+       "        <line x1=\"92\" y1=\"88\" x2=\"128\" y2=\"88\" class=\"broken\"></line>\n",
+       "        <path d=\"M 68,100 A 4,4 0,0,0 72,104\" class=\"nofill\"></path>\n",
+       "        <line x1=\"72\" y1=\"104\" x2=\"88\" y2=\"104\" class=\"solid\"></line>\n",
+       "        <path d=\"M 92,100 A 4,4 0,0,1 88,104\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 200,72 A 4,4 0,0,0 196,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"76\" x2=\"196\" y2=\"116\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"72\" x2=\"216\" y2=\"72\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,72 A 4,4 0,0,1 220,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"76\" x2=\"220\" y2=\"116\" class=\"solid\"></line>\n",
+       "        <line x1=\"160\" y1=\"88\" x2=\"196\" y2=\"88\" class=\"solid\"></line>\n",
+       "        <line x1=\"172\" y1=\"88\" x2=\"172\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <path d=\"M 172,100 A 4,4 0,0,0 176,104\" class=\"nofill\"></path>\n",
+       "        <line x1=\"176\" y1=\"104\" x2=\"196\" y2=\"104\" class=\"solid\"></line>\n",
+       "        <path d=\"M 196,116 A 4,4 0,0,0 200,120\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"120\" x2=\"216\" y2=\"120\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,116 A 4,4 0,0,1 216,120\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 8,120 A 4,4 0,0,0 4,124\" class=\"nofill\"></path>\n",
+       "        <line x1=\"4\" y1=\"124\" x2=\"4\" y2=\"148\" class=\"solid\"></line>\n",
+       "        <line x1=\"8\" y1=\"120\" x2=\"24\" y2=\"120\" class=\"solid\"></line>\n",
+       "        <path d=\"M 24,120 A 4,4 0,0,1 28,124\" class=\"nofill\"></path>\n",
+       "        <line x1=\"28\" y1=\"124\" x2=\"28\" y2=\"148\" class=\"solid\"></line>\n",
+       "        <path d=\"M 4,148 A 4,4 0,0,0 8,152\" class=\"nofill\"></path>\n",
+       "        <line x1=\"8\" y1=\"152\" x2=\"24\" y2=\"152\" class=\"solid\"></line>\n",
+       "        <path d=\"M 28,148 A 4,4 0,0,1 24,152\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 72,120 A 4,4 0,0,0 68,124\" class=\"nofill\"></path>\n",
+       "        <line x1=\"68\" y1=\"124\" x2=\"68\" y2=\"148\" class=\"solid\"></line>\n",
+       "        <line x1=\"72\" y1=\"120\" x2=\"88\" y2=\"120\" class=\"solid\"></line>\n",
+       "        <path d=\"M 88,120 A 4,4 0,0,1 92,124\" class=\"nofill\"></path>\n",
+       "        <line x1=\"92\" y1=\"124\" x2=\"92\" y2=\"148\" class=\"solid\"></line>\n",
+       "        <line x1=\"28\" y1=\"136\" x2=\"68\" y2=\"136\" class=\"broken\"></line>\n",
+       "        <line x1=\"92\" y1=\"136\" x2=\"128\" y2=\"136\" class=\"broken\"></line>\n",
+       "        <path d=\"M 68,148 A 4,4 0,0,0 72,152\" class=\"nofill\"></path>\n",
+       "        <line x1=\"72\" y1=\"152\" x2=\"88\" y2=\"152\" class=\"solid\"></line>\n",
+       "        <path d=\"M 92,148 A 4,4 0,0,1 88,152\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 136,120 A 4,4 0,0,0 132,124\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"124\" x2=\"132\" y2=\"148\" class=\"broken\"></line>\n",
+       "        <line x1=\"136\" y1=\"120\" x2=\"152\" y2=\"120\" class=\"broken\"></line>\n",
+       "        <path d=\"M 152,120 A 4,4 0,0,1 156,124\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 152,120 A 8,8 0,0,1 158,124\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"124\" x2=\"156\" y2=\"148\" class=\"broken\"></line>\n",
+       "        <line x1=\"158\" y1=\"124\" x2=\"160\" y2=\"128\" class=\"solid\"></line>\n",
+       "        <path d=\"M 160,128 A 16,16 0,0,1 160,144\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 132,148 A 4,4 0,0,0 136,152\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"152\" x2=\"152\" y2=\"152\" class=\"broken\"></line>\n",
+       "        <line x1=\"160\" y1=\"144\" x2=\"158\" y2=\"148\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,148 A 4,4 0,0,1 152,152\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 158,148 A 8,8 0,0,1 152,152\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 8,168 A 4,4 0,0,0 4,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"4\" y1=\"172\" x2=\"4\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <line x1=\"8\" y1=\"168\" x2=\"24\" y2=\"168\" class=\"solid\"></line>\n",
+       "        <path d=\"M 24,168 A 4,4 0,0,1 28,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"28\" y1=\"172\" x2=\"28\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <path d=\"M 4,196 A 4,4 0,0,0 8,200\" class=\"nofill\"></path>\n",
+       "        <line x1=\"8\" y1=\"200\" x2=\"24\" y2=\"200\" class=\"solid\"></line>\n",
+       "        <path d=\"M 28,196 A 4,4 0,0,1 24,200\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 72,168 A 4,4 0,0,0 68,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"68\" y1=\"172\" x2=\"68\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <line x1=\"72\" y1=\"168\" x2=\"88\" y2=\"168\" class=\"solid\"></line>\n",
+       "        <path d=\"M 88,168 A 4,4 0,0,1 92,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"92\" y1=\"172\" x2=\"92\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <line x1=\"28\" y1=\"184\" x2=\"68\" y2=\"184\" class=\"broken\"></line>\n",
+       "        <line x1=\"92\" y1=\"184\" x2=\"128\" y2=\"184\" class=\"broken\"></line>\n",
+       "        <path d=\"M 68,196 A 4,4 0,0,0 72,200\" class=\"nofill\"></path>\n",
+       "        <line x1=\"72\" y1=\"200\" x2=\"88\" y2=\"200\" class=\"solid\"></line>\n",
+       "        <path d=\"M 92,196 A 4,4 0,0,1 88,200\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 136,168 A 4,4 0,0,0 132,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"172\" x2=\"132\" y2=\"196\" class=\"broken\"></line>\n",
+       "        <line x1=\"136\" y1=\"168\" x2=\"152\" y2=\"168\" class=\"broken\"></line>\n",
+       "        <path d=\"M 152,168 A 4,4 0,0,1 156,172\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 152,168 A 8,8 0,0,1 158,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"172\" x2=\"156\" y2=\"196\" class=\"broken\"></line>\n",
+       "        <line x1=\"158\" y1=\"172\" x2=\"160\" y2=\"176\" class=\"solid\"></line>\n",
+       "        <path d=\"M 160,176 A 16,16 0,0,1 160,192\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 132,196 A 4,4 0,0,0 136,200\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"200\" x2=\"152\" y2=\"200\" class=\"broken\"></line>\n",
+       "        <line x1=\"160\" y1=\"192\" x2=\"158\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,196 A 4,4 0,0,1 152,200\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 158,196 A 8,8 0,0,1 152,200\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 8,216 A 4,4 0,0,0 4,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"4\" y1=\"220\" x2=\"4\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <line x1=\"8\" y1=\"216\" x2=\"24\" y2=\"216\" class=\"solid\"></line>\n",
+       "        <path d=\"M 24,216 A 4,4 0,0,1 28,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"28\" y1=\"220\" x2=\"28\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <path d=\"M 4,244 A 4,4 0,0,0 8,248\" class=\"nofill\"></path>\n",
+       "        <line x1=\"8\" y1=\"248\" x2=\"24\" y2=\"248\" class=\"solid\"></line>\n",
+       "        <path d=\"M 28,244 A 4,4 0,0,1 24,248\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 72,216 A 4,4 0,0,0 68,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"68\" y1=\"220\" x2=\"68\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <line x1=\"72\" y1=\"216\" x2=\"88\" y2=\"216\" class=\"solid\"></line>\n",
+       "        <path d=\"M 88,216 A 4,4 0,0,1 92,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"92\" y1=\"220\" x2=\"92\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <line x1=\"28\" y1=\"232\" x2=\"68\" y2=\"232\" class=\"broken\"></line>\n",
+       "        <line x1=\"92\" y1=\"232\" x2=\"128\" y2=\"232\" class=\"broken\"></line>\n",
+       "        <path d=\"M 68,244 A 4,4 0,0,0 72,248\" class=\"nofill\"></path>\n",
+       "        <line x1=\"72\" y1=\"248\" x2=\"88\" y2=\"248\" class=\"solid\"></line>\n",
+       "        <path d=\"M 92,244 A 4,4 0,0,1 88,248\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 200,216 A 4,4 0,0,0 196,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"220\" x2=\"196\" y2=\"292\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"216\" x2=\"216\" y2=\"216\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,216 A 4,4 0,0,1 220,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"220\" x2=\"220\" y2=\"292\" class=\"solid\"></line>\n",
+       "        <line x1=\"160\" y1=\"232\" x2=\"196\" y2=\"232\" class=\"solid\"></line>\n",
+       "        <line x1=\"172\" y1=\"232\" x2=\"172\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <path d=\"M 172,244 A 4,4 0,0,0 176,248\" class=\"nofill\"></path>\n",
+       "        <line x1=\"176\" y1=\"248\" x2=\"196\" y2=\"248\" class=\"solid\"></line>\n",
+       "        <line x1=\"196\" y1=\"264\" x2=\"220\" y2=\"264\" class=\"solid\"></line>\n",
+       "        <line x1=\"160\" y1=\"280\" x2=\"196\" y2=\"280\" class=\"solid\"></line>\n",
+       "        <path d=\"M 196,292 A 4,4 0,0,0 200,296\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"296\" x2=\"216\" y2=\"296\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,292 A 4,4 0,0,1 216,296\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 8,264 A 4,4 0,0,0 4,268\" class=\"nofill\"></path>\n",
+       "        <line x1=\"4\" y1=\"268\" x2=\"4\" y2=\"292\" class=\"solid\"></line>\n",
+       "        <line x1=\"8\" y1=\"264\" x2=\"24\" y2=\"264\" class=\"solid\"></line>\n",
+       "        <path d=\"M 24,264 A 4,4 0,0,1 28,268\" class=\"nofill\"></path>\n",
+       "        <line x1=\"28\" y1=\"268\" x2=\"28\" y2=\"292\" class=\"solid\"></line>\n",
+       "        <path d=\"M 4,292 A 4,4 0,0,0 8,296\" class=\"nofill\"></path>\n",
+       "        <line x1=\"8\" y1=\"296\" x2=\"24\" y2=\"296\" class=\"solid\"></line>\n",
+       "        <path d=\"M 28,292 A 4,4 0,0,1 24,296\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 72,264 A 4,4 0,0,0 68,268\" class=\"nofill\"></path>\n",
+       "        <line x1=\"68\" y1=\"268\" x2=\"68\" y2=\"292\" class=\"solid\"></line>\n",
+       "        <line x1=\"72\" y1=\"264\" x2=\"88\" y2=\"264\" class=\"solid\"></line>\n",
+       "        <path d=\"M 88,264 A 4,4 0,0,1 92,268\" class=\"nofill\"></path>\n",
+       "        <line x1=\"92\" y1=\"268\" x2=\"92\" y2=\"292\" class=\"solid\"></line>\n",
+       "        <line x1=\"28\" y1=\"280\" x2=\"68\" y2=\"280\" class=\"broken\"></line>\n",
+       "        <line x1=\"92\" y1=\"280\" x2=\"128\" y2=\"280\" class=\"broken\"></line>\n",
+       "        <path d=\"M 68,292 A 4,4 0,0,0 72,296\" class=\"nofill\"></path>\n",
+       "        <line x1=\"72\" y1=\"296\" x2=\"88\" y2=\"296\" class=\"solid\"></line>\n",
+       "        <path d=\"M 92,292 A 4,4 0,0,1 88,296\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 8,312 A 4,4 0,0,0 4,316\" class=\"nofill\"></path>\n",
+       "        <line x1=\"4\" y1=\"316\" x2=\"4\" y2=\"340\" class=\"solid\"></line>\n",
+       "        <line x1=\"8\" y1=\"312\" x2=\"24\" y2=\"312\" class=\"solid\"></line>\n",
+       "        <path d=\"M 24,312 A 4,4 0,0,1 28,316\" class=\"nofill\"></path>\n",
+       "        <line x1=\"28\" y1=\"316\" x2=\"28\" y2=\"340\" class=\"solid\"></line>\n",
+       "        <path d=\"M 4,340 A 4,4 0,0,0 8,344\" class=\"nofill\"></path>\n",
+       "        <line x1=\"8\" y1=\"344\" x2=\"24\" y2=\"344\" class=\"solid\"></line>\n",
+       "        <path d=\"M 28,340 A 4,4 0,0,1 24,344\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 72,312 A 4,4 0,0,0 68,316\" class=\"nofill\"></path>\n",
+       "        <line x1=\"68\" y1=\"316\" x2=\"68\" y2=\"340\" class=\"solid\"></line>\n",
+       "        <line x1=\"72\" y1=\"312\" x2=\"88\" y2=\"312\" class=\"solid\"></line>\n",
+       "        <path d=\"M 88,312 A 4,4 0,0,1 92,316\" class=\"nofill\"></path>\n",
+       "        <line x1=\"92\" y1=\"316\" x2=\"92\" y2=\"340\" class=\"solid\"></line>\n",
+       "        <line x1=\"28\" y1=\"328\" x2=\"68\" y2=\"328\" class=\"broken\"></line>\n",
+       "        <line x1=\"92\" y1=\"328\" x2=\"128\" y2=\"328\" class=\"broken\"></line>\n",
+       "        <path d=\"M 68,340 A 4,4 0,0,0 72,344\" class=\"nofill\"></path>\n",
+       "        <line x1=\"72\" y1=\"344\" x2=\"88\" y2=\"344\" class=\"solid\"></line>\n",
+       "        <path d=\"M 92,340 A 4,4 0,0,1 88,344\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 136,312 A 4,4 0,0,0 132,316\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"316\" x2=\"132\" y2=\"340\" class=\"broken\"></line>\n",
+       "        <line x1=\"136\" y1=\"312\" x2=\"152\" y2=\"312\" class=\"broken\"></line>\n",
+       "        <path d=\"M 152,312 A 4,4 0,0,1 156,316\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 152,312 A 8,8 0,0,1 158,316\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"316\" x2=\"156\" y2=\"340\" class=\"broken\"></line>\n",
+       "        <line x1=\"158\" y1=\"316\" x2=\"160\" y2=\"320\" class=\"solid\"></line>\n",
+       "        <path d=\"M 160,320 A 16,16 0,0,1 160,336\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 132,340 A 4,4 0,0,0 136,344\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"344\" x2=\"152\" y2=\"344\" class=\"broken\"></line>\n",
+       "        <line x1=\"160\" y1=\"336\" x2=\"158\" y2=\"340\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,340 A 4,4 0,0,1 152,344\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 158,340 A 8,8 0,0,1 152,344\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 8,360 A 4,4 0,0,0 4,364\" class=\"nofill\"></path>\n",
+       "        <line x1=\"4\" y1=\"364\" x2=\"4\" y2=\"388\" class=\"solid\"></line>\n",
+       "        <line x1=\"8\" y1=\"360\" x2=\"24\" y2=\"360\" class=\"solid\"></line>\n",
+       "        <path d=\"M 24,360 A 4,4 0,0,1 28,364\" class=\"nofill\"></path>\n",
+       "        <line x1=\"28\" y1=\"364\" x2=\"28\" y2=\"388\" class=\"solid\"></line>\n",
+       "        <path d=\"M 4,388 A 4,4 0,0,0 8,392\" class=\"nofill\"></path>\n",
+       "        <line x1=\"8\" y1=\"392\" x2=\"24\" y2=\"392\" class=\"solid\"></line>\n",
+       "        <path d=\"M 28,388 A 4,4 0,0,1 24,392\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 72,360 A 4,4 0,0,0 68,364\" class=\"nofill\"></path>\n",
+       "        <line x1=\"68\" y1=\"364\" x2=\"68\" y2=\"388\" class=\"solid\"></line>\n",
+       "        <line x1=\"72\" y1=\"360\" x2=\"88\" y2=\"360\" class=\"solid\"></line>\n",
+       "        <path d=\"M 88,360 A 4,4 0,0,1 92,364\" class=\"nofill\"></path>\n",
+       "        <line x1=\"92\" y1=\"364\" x2=\"92\" y2=\"388\" class=\"solid\"></line>\n",
+       "        <line x1=\"28\" y1=\"376\" x2=\"68\" y2=\"376\" class=\"broken\"></line>\n",
+       "        <line x1=\"92\" y1=\"376\" x2=\"128\" y2=\"376\" class=\"broken\"></line>\n",
+       "        <path d=\"M 68,388 A 4,4 0,0,0 72,392\" class=\"nofill\"></path>\n",
+       "        <line x1=\"72\" y1=\"392\" x2=\"88\" y2=\"392\" class=\"solid\"></line>\n",
+       "        <path d=\"M 92,388 A 4,4 0,0,1 88,392\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 136,360 A 4,4 0,0,0 132,364\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"364\" x2=\"132\" y2=\"388\" class=\"broken\"></line>\n",
+       "        <line x1=\"136\" y1=\"360\" x2=\"152\" y2=\"360\" class=\"broken\"></line>\n",
+       "        <path d=\"M 152,360 A 4,4 0,0,1 156,364\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 152,360 A 8,8 0,0,1 158,364\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"364\" x2=\"156\" y2=\"388\" class=\"broken\"></line>\n",
+       "        <line x1=\"158\" y1=\"364\" x2=\"160\" y2=\"368\" class=\"solid\"></line>\n",
+       "        <path d=\"M 160,368 A 16,16 0,0,1 160,384\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 132,388 A 4,4 0,0,0 136,392\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"392\" x2=\"152\" y2=\"392\" class=\"broken\"></line>\n",
+       "        <line x1=\"160\" y1=\"384\" x2=\"158\" y2=\"388\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,388 A 4,4 0,0,1 152,392\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 158,388 A 8,8 0,0,1 152,392\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 8,408 A 4,4 0,0,0 4,412\" class=\"nofill\"></path>\n",
+       "        <line x1=\"4\" y1=\"412\" x2=\"4\" y2=\"436\" class=\"solid\"></line>\n",
+       "        <line x1=\"8\" y1=\"408\" x2=\"24\" y2=\"408\" class=\"solid\"></line>\n",
+       "        <path d=\"M 24,408 A 4,4 0,0,1 28,412\" class=\"nofill\"></path>\n",
+       "        <line x1=\"28\" y1=\"412\" x2=\"28\" y2=\"436\" class=\"solid\"></line>\n",
+       "        <path d=\"M 4,436 A 4,4 0,0,0 8,440\" class=\"nofill\"></path>\n",
+       "        <line x1=\"8\" y1=\"440\" x2=\"24\" y2=\"440\" class=\"solid\"></line>\n",
+       "        <path d=\"M 28,436 A 4,4 0,0,1 24,440\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 72,408 A 4,4 0,0,0 68,412\" class=\"nofill\"></path>\n",
+       "        <line x1=\"68\" y1=\"412\" x2=\"68\" y2=\"436\" class=\"solid\"></line>\n",
+       "        <line x1=\"72\" y1=\"408\" x2=\"88\" y2=\"408\" class=\"solid\"></line>\n",
+       "        <path d=\"M 88,408 A 4,4 0,0,1 92,412\" class=\"nofill\"></path>\n",
+       "        <line x1=\"92\" y1=\"412\" x2=\"92\" y2=\"436\" class=\"solid\"></line>\n",
+       "        <line x1=\"28\" y1=\"424\" x2=\"68\" y2=\"424\" class=\"broken\"></line>\n",
+       "        <line x1=\"92\" y1=\"424\" x2=\"128\" y2=\"424\" class=\"broken\"></line>\n",
+       "        <path d=\"M 68,436 A 4,4 0,0,0 72,440\" class=\"nofill\"></path>\n",
+       "        <line x1=\"72\" y1=\"440\" x2=\"88\" y2=\"440\" class=\"solid\"></line>\n",
+       "        <path d=\"M 92,436 A 4,4 0,0,1 88,440\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 200,408 A 4,4 0,0,0 196,412\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"412\" x2=\"196\" y2=\"468\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"408\" x2=\"216\" y2=\"408\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,408 A 4,4 0,0,1 220,412\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"412\" x2=\"220\" y2=\"468\" class=\"solid\"></line>\n",
+       "        <line x1=\"160\" y1=\"424\" x2=\"196\" y2=\"424\" class=\"solid\"></line>\n",
+       "        <line x1=\"172\" y1=\"424\" x2=\"172\" y2=\"452\" class=\"solid\"></line>\n",
+       "        <line x1=\"172\" y1=\"440\" x2=\"196\" y2=\"440\" class=\"solid\"></line>\n",
+       "        <path d=\"M 172,452 A 4,4 0,0,0 176,456\" class=\"nofill\"></path>\n",
+       "        <line x1=\"176\" y1=\"456\" x2=\"196\" y2=\"456\" class=\"solid\"></line>\n",
+       "        <path d=\"M 196,468 A 4,4 0,0,0 200,472\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"472\" x2=\"216\" y2=\"472\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,468 A 4,4 0,0,1 216,472\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 8,472 A 4,4 0,0,0 4,476\" class=\"nofill\"></path>\n",
+       "        <line x1=\"4\" y1=\"476\" x2=\"4\" y2=\"500\" class=\"solid\"></line>\n",
+       "        <line x1=\"8\" y1=\"472\" x2=\"24\" y2=\"472\" class=\"solid\"></line>\n",
+       "        <path d=\"M 24,472 A 4,4 0,0,1 28,476\" class=\"nofill\"></path>\n",
+       "        <line x1=\"28\" y1=\"476\" x2=\"28\" y2=\"500\" class=\"solid\"></line>\n",
+       "        <path d=\"M 4,500 A 4,4 0,0,0 8,504\" class=\"nofill\"></path>\n",
+       "        <line x1=\"8\" y1=\"504\" x2=\"24\" y2=\"504\" class=\"solid\"></line>\n",
+       "        <path d=\"M 28,500 A 4,4 0,0,1 24,504\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 72,472 A 4,4 0,0,0 68,476\" class=\"nofill\"></path>\n",
+       "        <line x1=\"68\" y1=\"476\" x2=\"68\" y2=\"500\" class=\"solid\"></line>\n",
+       "        <line x1=\"72\" y1=\"472\" x2=\"88\" y2=\"472\" class=\"solid\"></line>\n",
+       "        <path d=\"M 88,472 A 4,4 0,0,1 92,476\" class=\"nofill\"></path>\n",
+       "        <line x1=\"92\" y1=\"476\" x2=\"92\" y2=\"500\" class=\"solid\"></line>\n",
+       "        <line x1=\"28\" y1=\"488\" x2=\"68\" y2=\"488\" class=\"broken\"></line>\n",
+       "        <line x1=\"92\" y1=\"488\" x2=\"128\" y2=\"488\" class=\"broken\"></line>\n",
+       "        <path d=\"M 68,500 A 4,4 0,0,0 72,504\" class=\"nofill\"></path>\n",
+       "        <line x1=\"72\" y1=\"504\" x2=\"88\" y2=\"504\" class=\"solid\"></line>\n",
+       "        <path d=\"M 92,500 A 4,4 0,0,1 88,504\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 136,472 A 4,4 0,0,0 132,476\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"476\" x2=\"132\" y2=\"500\" class=\"broken\"></line>\n",
+       "        <line x1=\"136\" y1=\"472\" x2=\"152\" y2=\"472\" class=\"broken\"></line>\n",
+       "        <path d=\"M 152,472 A 4,4 0,0,1 156,476\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 152,472 A 8,8 0,0,1 158,476\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"476\" x2=\"156\" y2=\"500\" class=\"broken\"></line>\n",
+       "        <line x1=\"158\" y1=\"476\" x2=\"160\" y2=\"480\" class=\"solid\"></line>\n",
+       "        <path d=\"M 160,480 A 16,16 0,0,1 160,496\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 132,500 A 4,4 0,0,0 136,504\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"504\" x2=\"152\" y2=\"504\" class=\"broken\"></line>\n",
+       "        <line x1=\"160\" y1=\"496\" x2=\"158\" y2=\"500\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,500 A 4,4 0,0,1 152,504\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 158,500 A 8,8 0,0,1 152,504\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "</svg>"
+      ],
+      "text/plain": [
+       ".---.   .---.   .~~~.   .---.\n",
+       "|i0 |p0 |i1 |p1 ┊i2 ┊p2 |i3 |\n",
+       "`---'   `---'   `~~~'   `---'\n",
+       "=============================\n",
+       ".--.  0 .--.  0 .~~.  0 .--.\n",
+       "|0 |~~~~|0 |~~~~┊0 ┊-+--|1 |\n",
+       "`--'  1 `--'  1 `~~' `--|2 |\n",
+       ".--.    .--.    .~~.  2 `--'\n",
+       "|0 |~~~~|0 |~~~~┊1 ┊)\n",
+       "`--'  2 `--'  2 `~~'\n",
+       ".--.    .--.    .~~.  2\n",
+       "|0 |~~~~|0 |~~~~┊2 ┊)\n",
+       "`--'  3 `--'  3 `~~'\n",
+       ".--.    .--.    .~~.  2 .--.\n",
+       "|0 |~~~~|1 |~~~~┊0 ┊-+--|0 |\n",
+       "`--'  4 `--'  4 `~~' `--|2 |\n",
+       ".--.    .--.    .~~.  4 |--|\n",
+       "|0 |~~~~|1 |~~~~┊1 ┊----|0 |\n",
+       "`--'  5 `--'  5 `~~'  5 `--'\n",
+       ".--.    .--.    .~~.\n",
+       "|0 |~~~~|1 |~~~~┊2 ┊)\n",
+       "`--'  6 `--'  6 `~~'\n",
+       ".--.    .--.    .~~.  5\n",
+       "|1 |~~~~|1 |~~~~┊0 ┊)\n",
+       "`--'  7 `--'  7 `~~'\n",
+       ".--.    .--.    .~~.  5 .--.\n",
+       "|1 |~~~~|1 |~~~~┊1 ┊-+--|0 |\n",
+       "`--'  8 `--'  8 `~~' |--|1 |\n",
+       "                     `--|2 |\n",
+       ".--.    .--.    .~~.  8 `--'\n",
+       "|1 |~~~~|1 |~~~~┊2 ┊)\n",
+       "`--'  9 `--'  9 `~~'  8"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "text/markdown": [
+       "# S-C-S-S"
+      ],
+      "text/plain": [
+       "<IPython.core.display.Markdown object>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "image/svg+xml": [
+       "<svg xmlns=\"http://www.w3.org/2000/svg\" width=\"240\" height=\"464\">\n",
+       "    <style>line, path, circle,rect,polygon {\n",
+       "                          stroke: black;\n",
+       "                          stroke-width: 2;\n",
+       "                          stroke-opacity: 1;\n",
+       "                          fill-opacity: 1;\n",
+       "                          stroke-linecap: round;\n",
+       "                          stroke-linejoin: miter;\n",
+       "                        }\n",
+       "\n",
+       "                    text {\n",
+       "                        /* This fix the spacing bug in svg text*/\n",
+       "                        white-space: pre;\n",
+       "                        fill: black;\n",
+       "                        }\n",
+       "                        rect.backdrop{\n",
+       "                            stroke: none;\n",
+       "                            fill: white;\n",
+       "                        }\n",
+       "                        .broken{\n",
+       "                            stroke-dasharray: 8;\n",
+       "                        }\n",
+       "                        .filled{\n",
+       "                            fill: black;\n",
+       "                        }\n",
+       "                        .bg_filled{\n",
+       "                            fill: white;\n",
+       "                        }\n",
+       "                        .nofill{\n",
+       "                            fill: white;\n",
+       "                        }\n",
+       "\n",
+       "                        text {\n",
+       "                         font-family: monospace;\n",
+       "                         font-size: 14px;\n",
+       "                        }\n",
+       "\n",
+       "                        .end_marked_arrow{\n",
+       "                            marker-end: url(#arrow);\n",
+       "                         }\n",
+       "                        .start_marked_arrow{\n",
+       "                            marker-start: url(#arrow);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_diamond{\n",
+       "                            marker-end: url(#diamond);\n",
+       "                         }\n",
+       "                        .start_marked_diamond{\n",
+       "                            marker-start: url(#diamond);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_circle{\n",
+       "                            marker-end: url(#circle);\n",
+       "                         }\n",
+       "                        .start_marked_circle{\n",
+       "                            marker-start: url(#circle);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_open_circle{\n",
+       "                            marker-end: url(#open_circle);\n",
+       "                         }\n",
+       "                        .start_marked_open_circle{\n",
+       "                            marker-start: url(#open_circle);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_big_open_circle{\n",
+       "                            marker-end: url(#big_open_circle);\n",
+       "                         }\n",
+       "                        .start_marked_big_open_circle{\n",
+       "                            marker-start: url(#big_open_circle);\n",
+       "                         }\n",
+       "\n",
+       "                         \n",
+       "                        </style>\n",
+       "    <defs>\n",
+       "        <marker id=\"arrow\" viewBox=\"-2 -2 8 8\" refX=\"4\" refY=\"2\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <polygon points=\"0,0 0,4 4,2 0,0\"></polygon>\n",
+       "        </marker>\n",
+       "        <marker id=\"diamond\" viewBox=\"-2 -2 8 8\" refX=\"4\" refY=\"2\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <polygon points=\"0,2 2,0 4,2 2,4 0,2\"></polygon>\n",
+       "        </marker>\n",
+       "        <marker id=\"circle\" viewBox=\"0 0 8 8\" refX=\"4\" refY=\"4\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <circle cx=\"4\" cy=\"4\" r=\"2\" class=\"filled\"></circle>\n",
+       "        </marker>\n",
+       "        <marker id=\"open_circle\" viewBox=\"0 0 8 8\" refX=\"4\" refY=\"4\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <circle cx=\"4\" cy=\"4\" r=\"2\" class=\"bg_filled\"></circle>\n",
+       "        </marker>\n",
+       "        <marker id=\"big_open_circle\" viewBox=\"0 0 8 8\" refX=\"4\" refY=\"4\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <circle cx=\"4\" cy=\"4\" r=\"3\" class=\"bg_filled\"></circle>\n",
+       "        </marker>\n",
+       "    </defs>\n",
+       "    <rect x=\"4\" y=\"8\" width=\"32\" height=\"32\" class=\"solid nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"10\" y=\"28\" >i0</text>\n",
+       "    <rect x=\"68\" y=\"8\" width=\"32\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"74\" y=\"28\" >i1</text>\n",
+       "    <rect x=\"132\" y=\"8\" width=\"32\" height=\"32\" class=\"solid nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"138\" y=\"28\" >i2</text>\n",
+       "    <rect x=\"196\" y=\"8\" width=\"32\" height=\"32\" class=\"solid nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"202\" y=\"28\" >i3</text>\n",
+       "    <rect x=\"68\" y=\"72\" width=\"24\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"74\" y=\"92\" >0</text>\n",
+       "    <rect x=\"68\" y=\"168\" width=\"24\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"74\" y=\"188\" >1</text>\n",
+       "    <rect x=\"68\" y=\"312\" width=\"24\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"74\" y=\"332\" >1</text>\n",
+       "    <text x=\"42\" y=\"28\" >p0</text>\n",
+       "    <text x=\"106\" y=\"28\" >p1</text>\n",
+       "    <text x=\"170\" y=\"28\" >p2</text>\n",
+       "    <line x1=\"0\" y1=\"54\" x2=\"232\" y2=\"54\" class=\"solid\"></line>\n",
+       "    <line x1=\"0\" y1=\"58\" x2=\"232\" y2=\"58\" class=\"solid\"></line>\n",
+       "    <text x=\"50\" y=\"76\" >0</text>\n",
+       "    <text x=\"114\" y=\"76\" >0</text>\n",
+       "    <text x=\"178\" y=\"76\" >0</text>\n",
+       "    <text x=\"10\" y=\"92\" >0</text>\n",
+       "    <text x=\"138\" y=\"92\" >0</text>\n",
+       "    <text x=\"202\" y=\"92\" >1</text>\n",
+       "    <text x=\"50\" y=\"108\" >1</text>\n",
+       "    <text x=\"178\" y=\"108\" >1</text>\n",
+       "    <text x=\"138\" y=\"140\" >0</text>\n",
+       "    <text x=\"202\" y=\"140\" >2</text>\n",
+       "    <text x=\"114\" y=\"156\" >2</text>\n",
+       "    <text x=\"178\" y=\"156\" >2</text>\n",
+       "    <text x=\"10\" y=\"188\" >0</text>\n",
+       "    <text x=\"138\" y=\"188\" >0</text>\n",
+       "    <text x=\"202\" y=\"188\" >0</text>\n",
+       "    <text x=\"50\" y=\"204\" >2</text>\n",
+       "    <text x=\"178\" y=\"204\" >3</text>\n",
+       "    <text x=\"10\" y=\"236\" >0</text>\n",
+       "    <text x=\"74\" y=\"236\" >2</text>\n",
+       "    <text x=\"138\" y=\"236\" >0</text>\n",
+       "    <text x=\"202\" y=\"236\" >2</text>\n",
+       "    <text x=\"50\" y=\"252\" >3</text>\n",
+       "    <text x=\"178\" y=\"252\" >4</text>\n",
+       "    <text x=\"10\" y=\"284\" >1</text>\n",
+       "    <text x=\"74\" y=\"284\" >0</text>\n",
+       "    <text x=\"138\" y=\"284\" >1</text>\n",
+       "    <text x=\"202\" y=\"284\" >0</text>\n",
+       "    <text x=\"50\" y=\"300\" >4</text>\n",
+       "    <text x=\"114\" y=\"300\" >5</text>\n",
+       "    <text x=\"178\" y=\"300\" >5</text>\n",
+       "    <text x=\"114\" y=\"316\" >5</text>\n",
+       "    <text x=\"10\" y=\"332\" >1</text>\n",
+       "    <text x=\"138\" y=\"332\" >1</text>\n",
+       "    <text x=\"202\" y=\"332\" >0</text>\n",
+       "    <text x=\"50\" y=\"348\" >5</text>\n",
+       "    <text x=\"178\" y=\"348\" >6</text>\n",
+       "    <text x=\"10\" y=\"380\" >1</text>\n",
+       "    <text x=\"74\" y=\"380\" >2</text>\n",
+       "    <text x=\"138\" y=\"380\" >1</text>\n",
+       "    <text x=\"202\" y=\"380\" >1</text>\n",
+       "    <text x=\"50\" y=\"396\" >6</text>\n",
+       "    <text x=\"178\" y=\"396\" >7</text>\n",
+       "    <text x=\"138\" y=\"428\" >1</text>\n",
+       "    <text x=\"202\" y=\"428\" >2</text>\n",
+       "    <text x=\"114\" y=\"444\" >8</text>\n",
+       "    <text x=\"178\" y=\"444\" >8</text>\n",
+       "    <g>\n",
+       "        <path d=\"M 8,72 A 4,4 0,0,0 4,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"4\" y1=\"76\" x2=\"4\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"8\" y1=\"72\" x2=\"24\" y2=\"72\" class=\"solid\"></line>\n",
+       "        <path d=\"M 24,72 A 4,4 0,0,1 28,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"28\" y1=\"76\" x2=\"28\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"28\" y1=\"88\" x2=\"64\" y2=\"88\" class=\"broken\"></line>\n",
+       "        <path d=\"M 4,100 A 4,4 0,0,0 8,104\" class=\"nofill\"></path>\n",
+       "        <line x1=\"8\" y1=\"104\" x2=\"24\" y2=\"104\" class=\"solid\"></line>\n",
+       "        <path d=\"M 28,100 A 4,4 0,0,1 24,104\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 136,72 A 4,4 0,0,0 132,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"76\" x2=\"132\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"136\" y1=\"72\" x2=\"152\" y2=\"72\" class=\"solid\"></line>\n",
+       "        <path d=\"M 152,72 A 4,4 0,0,1 156,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"76\" x2=\"156\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"96\" y1=\"88\" x2=\"132\" y2=\"88\" class=\"solid\"></line>\n",
+       "        <line x1=\"108\" y1=\"88\" x2=\"108\" y2=\"132\" class=\"solid\"></line>\n",
+       "        <path d=\"M 132,100 A 4,4 0,0,0 136,104\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"104\" x2=\"152\" y2=\"104\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,100 A 4,4 0,0,1 152,104\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 108,132 A 4,4 0,0,0 112,136\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 200,72 A 4,4 0,0,0 196,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"76\" x2=\"196\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"72\" x2=\"216\" y2=\"72\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,72 A 4,4 0,0,1 220,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"76\" x2=\"220\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"156\" y1=\"88\" x2=\"196\" y2=\"88\" class=\"broken\"></line>\n",
+       "        <path d=\"M 196,100 A 4,4 0,0,0 200,104\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"104\" x2=\"216\" y2=\"104\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,100 A 4,4 0,0,1 216,104\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 136,120 A 4,4 0,0,0 132,124\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"124\" x2=\"132\" y2=\"148\" class=\"solid\"></line>\n",
+       "        <line x1=\"136\" y1=\"120\" x2=\"152\" y2=\"120\" class=\"solid\"></line>\n",
+       "        <path d=\"M 152,120 A 4,4 0,0,1 156,124\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"124\" x2=\"156\" y2=\"148\" class=\"solid\"></line>\n",
+       "        <line x1=\"112\" y1=\"136\" x2=\"132\" y2=\"136\" class=\"solid\"></line>\n",
+       "        <path d=\"M 132,148 A 4,4 0,0,0 136,152\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"152\" x2=\"152\" y2=\"152\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,148 A 4,4 0,0,1 152,152\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 200,120 A 4,4 0,0,0 196,124\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"124\" x2=\"196\" y2=\"148\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"120\" x2=\"216\" y2=\"120\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,120 A 4,4 0,0,1 220,124\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"124\" x2=\"220\" y2=\"148\" class=\"solid\"></line>\n",
+       "        <line x1=\"156\" y1=\"136\" x2=\"196\" y2=\"136\" class=\"broken\"></line>\n",
+       "        <path d=\"M 196,148 A 4,4 0,0,0 200,152\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"152\" x2=\"216\" y2=\"152\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,148 A 4,4 0,0,1 216,152\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 8,168 A 4,4 0,0,0 4,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"4\" y1=\"172\" x2=\"4\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <line x1=\"8\" y1=\"168\" x2=\"24\" y2=\"168\" class=\"solid\"></line>\n",
+       "        <path d=\"M 24,168 A 4,4 0,0,1 28,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"28\" y1=\"172\" x2=\"28\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <line x1=\"28\" y1=\"184\" x2=\"64\" y2=\"184\" class=\"broken\"></line>\n",
+       "        <path d=\"M 4,196 A 4,4 0,0,0 8,200\" class=\"nofill\"></path>\n",
+       "        <line x1=\"8\" y1=\"200\" x2=\"24\" y2=\"200\" class=\"solid\"></line>\n",
+       "        <path d=\"M 28,196 A 4,4 0,0,1 24,200\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 136,168 A 4,4 0,0,0 132,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"172\" x2=\"132\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <line x1=\"136\" y1=\"168\" x2=\"152\" y2=\"168\" class=\"solid\"></line>\n",
+       "        <path d=\"M 152,168 A 4,4 0,0,1 156,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"172\" x2=\"156\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <line x1=\"96\" y1=\"184\" x2=\"132\" y2=\"184\" class=\"solid\"></line>\n",
+       "        <line x1=\"108\" y1=\"184\" x2=\"108\" y2=\"276\" class=\"solid\"></line>\n",
+       "        <path d=\"M 132,196 A 4,4 0,0,0 136,200\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"200\" x2=\"152\" y2=\"200\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,196 A 4,4 0,0,1 152,200\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 108,276 A 4,4 0,0,0 112,280\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 200,168 A 4,4 0,0,0 196,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"172\" x2=\"196\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"168\" x2=\"216\" y2=\"168\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,168 A 4,4 0,0,1 220,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"172\" x2=\"220\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <line x1=\"156\" y1=\"184\" x2=\"196\" y2=\"184\" class=\"broken\"></line>\n",
+       "        <path d=\"M 196,196 A 4,4 0,0,0 200,200\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"200\" x2=\"216\" y2=\"200\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,196 A 4,4 0,0,1 216,200\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 136,216 A 4,4 0,0,0 132,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"220\" x2=\"132\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <line x1=\"136\" y1=\"216\" x2=\"152\" y2=\"216\" class=\"solid\"></line>\n",
+       "        <path d=\"M 152,216 A 4,4 0,0,1 156,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"220\" x2=\"156\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <line x1=\"108\" y1=\"232\" x2=\"132\" y2=\"232\" class=\"solid\"></line>\n",
+       "        <path d=\"M 132,244 A 4,4 0,0,0 136,248\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"248\" x2=\"152\" y2=\"248\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,244 A 4,4 0,0,1 152,248\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 200,216 A 4,4 0,0,0 196,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"220\" x2=\"196\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"216\" x2=\"216\" y2=\"216\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,216 A 4,4 0,0,1 220,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"220\" x2=\"220\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <line x1=\"156\" y1=\"232\" x2=\"196\" y2=\"232\" class=\"broken\"></line>\n",
+       "        <path d=\"M 196,244 A 4,4 0,0,0 200,248\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"248\" x2=\"216\" y2=\"248\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,244 A 4,4 0,0,1 216,248\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 136,264 A 4,4 0,0,0 132,268\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"268\" x2=\"132\" y2=\"292\" class=\"solid\"></line>\n",
+       "        <line x1=\"136\" y1=\"264\" x2=\"152\" y2=\"264\" class=\"solid\"></line>\n",
+       "        <path d=\"M 152,264 A 4,4 0,0,1 156,268\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"268\" x2=\"156\" y2=\"292\" class=\"solid\"></line>\n",
+       "        <line x1=\"112\" y1=\"280\" x2=\"132\" y2=\"280\" class=\"solid\"></line>\n",
+       "        <path d=\"M 132,292 A 4,4 0,0,0 136,296\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"296\" x2=\"152\" y2=\"296\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,292 A 4,4 0,0,1 152,296\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 200,264 A 4,4 0,0,0 196,268\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"268\" x2=\"196\" y2=\"292\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"264\" x2=\"216\" y2=\"264\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,264 A 4,4 0,0,1 220,268\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"268\" x2=\"220\" y2=\"292\" class=\"solid\"></line>\n",
+       "        <line x1=\"156\" y1=\"280\" x2=\"196\" y2=\"280\" class=\"broken\"></line>\n",
+       "        <path d=\"M 196,292 A 4,4 0,0,0 200,296\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"296\" x2=\"216\" y2=\"296\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,292 A 4,4 0,0,1 216,296\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 8,216 A 4,4 0,0,0 4,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"4\" y1=\"220\" x2=\"4\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <line x1=\"8\" y1=\"216\" x2=\"24\" y2=\"216\" class=\"solid\"></line>\n",
+       "        <path d=\"M 24,216 A 4,4 0,0,1 28,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"28\" y1=\"220\" x2=\"28\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <line x1=\"28\" y1=\"232\" x2=\"64\" y2=\"232\" class=\"broken\"></line>\n",
+       "        <path d=\"M 4,244 A 4,4 0,0,0 8,248\" class=\"nofill\"></path>\n",
+       "        <line x1=\"8\" y1=\"248\" x2=\"24\" y2=\"248\" class=\"solid\"></line>\n",
+       "        <path d=\"M 28,244 A 4,4 0,0,1 24,248\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 72,216 A 4,4 0,0,0 68,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"68\" y1=\"220\" x2=\"68\" y2=\"244\" class=\"broken\"></line>\n",
+       "        <line x1=\"72\" y1=\"216\" x2=\"88\" y2=\"216\" class=\"broken\"></line>\n",
+       "        <path d=\"M 88,216 A 4,4 0,0,1 92,220\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 88,216 A 8,8 0,0,1 94,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"92\" y1=\"220\" x2=\"92\" y2=\"244\" class=\"broken\"></line>\n",
+       "        <line x1=\"94\" y1=\"220\" x2=\"96\" y2=\"224\" class=\"solid\"></line>\n",
+       "        <path d=\"M 96,224 A 16,16 0,0,1 96,240\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 68,244 A 4,4 0,0,0 72,248\" class=\"nofill\"></path>\n",
+       "        <line x1=\"72\" y1=\"248\" x2=\"88\" y2=\"248\" class=\"broken\"></line>\n",
+       "        <line x1=\"96\" y1=\"240\" x2=\"94\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <path d=\"M 92,244 A 4,4 0,0,1 88,248\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 94,244 A 8,8 0,0,1 88,248\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 8,264 A 4,4 0,0,0 4,268\" class=\"nofill\"></path>\n",
+       "        <line x1=\"4\" y1=\"268\" x2=\"4\" y2=\"292\" class=\"solid\"></line>\n",
+       "        <line x1=\"8\" y1=\"264\" x2=\"24\" y2=\"264\" class=\"solid\"></line>\n",
+       "        <path d=\"M 24,264 A 4,4 0,0,1 28,268\" class=\"nofill\"></path>\n",
+       "        <line x1=\"28\" y1=\"268\" x2=\"28\" y2=\"292\" class=\"solid\"></line>\n",
+       "        <line x1=\"28\" y1=\"280\" x2=\"64\" y2=\"280\" class=\"broken\"></line>\n",
+       "        <path d=\"M 4,292 A 4,4 0,0,0 8,296\" class=\"nofill\"></path>\n",
+       "        <line x1=\"8\" y1=\"296\" x2=\"24\" y2=\"296\" class=\"solid\"></line>\n",
+       "        <path d=\"M 28,292 A 4,4 0,0,1 24,296\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 72,264 A 4,4 0,0,0 68,268\" class=\"nofill\"></path>\n",
+       "        <line x1=\"68\" y1=\"268\" x2=\"68\" y2=\"292\" class=\"broken\"></line>\n",
+       "        <line x1=\"72\" y1=\"264\" x2=\"88\" y2=\"264\" class=\"broken\"></line>\n",
+       "        <path d=\"M 88,264 A 4,4 0,0,1 92,268\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 88,264 A 8,8 0,0,1 94,268\" class=\"nofill\"></path>\n",
+       "        <line x1=\"92\" y1=\"268\" x2=\"92\" y2=\"292\" class=\"broken\"></line>\n",
+       "        <line x1=\"94\" y1=\"268\" x2=\"96\" y2=\"272\" class=\"solid\"></line>\n",
+       "        <path d=\"M 96,272 A 16,16 0,0,1 96,288\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 68,292 A 4,4 0,0,0 72,296\" class=\"nofill\"></path>\n",
+       "        <line x1=\"72\" y1=\"296\" x2=\"88\" y2=\"296\" class=\"broken\"></line>\n",
+       "        <line x1=\"96\" y1=\"288\" x2=\"94\" y2=\"292\" class=\"solid\"></line>\n",
+       "        <path d=\"M 92,292 A 4,4 0,0,1 88,296\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 94,292 A 8,8 0,0,1 88,296\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 8,312 A 4,4 0,0,0 4,316\" class=\"nofill\"></path>\n",
+       "        <line x1=\"4\" y1=\"316\" x2=\"4\" y2=\"340\" class=\"solid\"></line>\n",
+       "        <line x1=\"8\" y1=\"312\" x2=\"24\" y2=\"312\" class=\"solid\"></line>\n",
+       "        <path d=\"M 24,312 A 4,4 0,0,1 28,316\" class=\"nofill\"></path>\n",
+       "        <line x1=\"28\" y1=\"316\" x2=\"28\" y2=\"340\" class=\"solid\"></line>\n",
+       "        <line x1=\"28\" y1=\"328\" x2=\"64\" y2=\"328\" class=\"broken\"></line>\n",
+       "        <path d=\"M 4,340 A 4,4 0,0,0 8,344\" class=\"nofill\"></path>\n",
+       "        <line x1=\"8\" y1=\"344\" x2=\"24\" y2=\"344\" class=\"solid\"></line>\n",
+       "        <path d=\"M 28,340 A 4,4 0,0,1 24,344\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 136,312 A 4,4 0,0,0 132,316\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"316\" x2=\"132\" y2=\"340\" class=\"solid\"></line>\n",
+       "        <line x1=\"136\" y1=\"312\" x2=\"152\" y2=\"312\" class=\"solid\"></line>\n",
+       "        <path d=\"M 152,312 A 4,4 0,0,1 156,316\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"316\" x2=\"156\" y2=\"340\" class=\"solid\"></line>\n",
+       "        <line x1=\"96\" y1=\"328\" x2=\"132\" y2=\"328\" class=\"solid\"></line>\n",
+       "        <line x1=\"108\" y1=\"328\" x2=\"108\" y2=\"420\" class=\"solid\"></line>\n",
+       "        <path d=\"M 132,340 A 4,4 0,0,0 136,344\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"344\" x2=\"152\" y2=\"344\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,340 A 4,4 0,0,1 152,344\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 108,420 A 4,4 0,0,0 112,424\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 200,312 A 4,4 0,0,0 196,316\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"316\" x2=\"196\" y2=\"340\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"312\" x2=\"216\" y2=\"312\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,312 A 4,4 0,0,1 220,316\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"316\" x2=\"220\" y2=\"340\" class=\"solid\"></line>\n",
+       "        <line x1=\"156\" y1=\"328\" x2=\"196\" y2=\"328\" class=\"broken\"></line>\n",
+       "        <path d=\"M 196,340 A 4,4 0,0,0 200,344\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"344\" x2=\"216\" y2=\"344\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,340 A 4,4 0,0,1 216,344\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 136,360 A 4,4 0,0,0 132,364\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"364\" x2=\"132\" y2=\"388\" class=\"solid\"></line>\n",
+       "        <line x1=\"136\" y1=\"360\" x2=\"152\" y2=\"360\" class=\"solid\"></line>\n",
+       "        <path d=\"M 152,360 A 4,4 0,0,1 156,364\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"364\" x2=\"156\" y2=\"388\" class=\"solid\"></line>\n",
+       "        <line x1=\"108\" y1=\"376\" x2=\"132\" y2=\"376\" class=\"solid\"></line>\n",
+       "        <path d=\"M 132,388 A 4,4 0,0,0 136,392\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"392\" x2=\"152\" y2=\"392\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,388 A 4,4 0,0,1 152,392\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 200,360 A 4,4 0,0,0 196,364\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"364\" x2=\"196\" y2=\"388\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"360\" x2=\"216\" y2=\"360\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,360 A 4,4 0,0,1 220,364\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"364\" x2=\"220\" y2=\"388\" class=\"solid\"></line>\n",
+       "        <line x1=\"156\" y1=\"376\" x2=\"196\" y2=\"376\" class=\"broken\"></line>\n",
+       "        <path d=\"M 196,388 A 4,4 0,0,0 200,392\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"392\" x2=\"216\" y2=\"392\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,388 A 4,4 0,0,1 216,392\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 136,408 A 4,4 0,0,0 132,412\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"412\" x2=\"132\" y2=\"436\" class=\"solid\"></line>\n",
+       "        <line x1=\"136\" y1=\"408\" x2=\"152\" y2=\"408\" class=\"solid\"></line>\n",
+       "        <path d=\"M 152,408 A 4,4 0,0,1 156,412\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"412\" x2=\"156\" y2=\"436\" class=\"solid\"></line>\n",
+       "        <line x1=\"112\" y1=\"424\" x2=\"132\" y2=\"424\" class=\"solid\"></line>\n",
+       "        <path d=\"M 132,436 A 4,4 0,0,0 136,440\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"440\" x2=\"152\" y2=\"440\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,436 A 4,4 0,0,1 152,440\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 200,408 A 4,4 0,0,0 196,412\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"412\" x2=\"196\" y2=\"436\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"408\" x2=\"216\" y2=\"408\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,408 A 4,4 0,0,1 220,412\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"412\" x2=\"220\" y2=\"436\" class=\"solid\"></line>\n",
+       "        <line x1=\"156\" y1=\"424\" x2=\"196\" y2=\"424\" class=\"broken\"></line>\n",
+       "        <path d=\"M 196,436 A 4,4 0,0,0 200,440\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"440\" x2=\"216\" y2=\"440\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,436 A 4,4 0,0,1 216,440\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 8,360 A 4,4 0,0,0 4,364\" class=\"nofill\"></path>\n",
+       "        <line x1=\"4\" y1=\"364\" x2=\"4\" y2=\"388\" class=\"solid\"></line>\n",
+       "        <line x1=\"8\" y1=\"360\" x2=\"24\" y2=\"360\" class=\"solid\"></line>\n",
+       "        <path d=\"M 24,360 A 4,4 0,0,1 28,364\" class=\"nofill\"></path>\n",
+       "        <line x1=\"28\" y1=\"364\" x2=\"28\" y2=\"388\" class=\"solid\"></line>\n",
+       "        <line x1=\"28\" y1=\"376\" x2=\"64\" y2=\"376\" class=\"broken\"></line>\n",
+       "        <path d=\"M 4,388 A 4,4 0,0,0 8,392\" class=\"nofill\"></path>\n",
+       "        <line x1=\"8\" y1=\"392\" x2=\"24\" y2=\"392\" class=\"solid\"></line>\n",
+       "        <path d=\"M 28,388 A 4,4 0,0,1 24,392\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 72,360 A 4,4 0,0,0 68,364\" class=\"nofill\"></path>\n",
+       "        <line x1=\"68\" y1=\"364\" x2=\"68\" y2=\"388\" class=\"broken\"></line>\n",
+       "        <line x1=\"72\" y1=\"360\" x2=\"88\" y2=\"360\" class=\"broken\"></line>\n",
+       "        <path d=\"M 88,360 A 4,4 0,0,1 92,364\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 88,360 A 8,8 0,0,1 94,364\" class=\"nofill\"></path>\n",
+       "        <line x1=\"92\" y1=\"364\" x2=\"92\" y2=\"388\" class=\"broken\"></line>\n",
+       "        <line x1=\"94\" y1=\"364\" x2=\"96\" y2=\"368\" class=\"solid\"></line>\n",
+       "        <path d=\"M 96,368 A 16,16 0,0,1 96,384\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 68,388 A 4,4 0,0,0 72,392\" class=\"nofill\"></path>\n",
+       "        <line x1=\"72\" y1=\"392\" x2=\"88\" y2=\"392\" class=\"broken\"></line>\n",
+       "        <line x1=\"96\" y1=\"384\" x2=\"94\" y2=\"388\" class=\"solid\"></line>\n",
+       "        <path d=\"M 92,388 A 4,4 0,0,1 88,392\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 94,388 A 8,8 0,0,1 88,392\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "</svg>"
+      ],
+      "text/plain": [
+       ".---.   .~~~.   .---.   .---.\n",
+       "|i0 |p0 ┊i1 ┊p1 |i2 |p2 |i3 |\n",
+       "`---'   `~~~'   `---'   `---'\n",
+       "=============================\n",
+       ".--.  0 .~~.  0 .--.  0 .--.\n",
+       "|0 |~~~~┊0 ┊-+--|0 |~~~~|1 |\n",
+       "`--'  1 `~~' |  `--'  1 `--'\n",
+       "             |  .--.    .--.\n",
+       "             `--|0 |~~~~|2 |\n",
+       "              2 `--'  2 `--'\n",
+       ".--.    .~~.    .--.    .--.\n",
+       "|0 |~~~~┊1 ┊-+--|0 |~~~~|0 |\n",
+       "`--'  2 `~~' |  `--'  3 `--'\n",
+       ".--.    .~~. |  .--.    .--.\n",
+       "|0 |~~~~┊2 ┊)|--|0 |~~~~|2 |\n",
+       "`--'  3 `~~' |  `--'  4 `--'\n",
+       ".--.    .~~. |  .--.    .--.\n",
+       "|1 |~~~~┊0 ┊)`--|1 |~~~~|0 |\n",
+       "`--'  4 `~~'  5 `--'  5 `--'\n",
+       ".--.    .~~.  5 .--.    .--.\n",
+       "|1 |~~~~┊1 ┊-+--|1 |~~~~|0 |\n",
+       "`--'  5 `~~' |  `--'  6 `--'\n",
+       ".--.    .~~. |  .--.    .--.\n",
+       "|1 |~~~~┊2 ┊)|--|1 |~~~~|1 |\n",
+       "`--'  6 `~~' |  `--'  7 `--'\n",
+       "             |  .--.    .--.\n",
+       "             `--|1 |~~~~|2 |\n",
+       "              8 `--'  8 `--'"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "text/markdown": [
+       "# S-C-C-S"
+      ],
+      "text/plain": [
+       "<IPython.core.display.Markdown object>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "image/svg+xml": [
+       "<svg xmlns=\"http://www.w3.org/2000/svg\" width=\"240\" height=\"960\">\n",
+       "    <style>line, path, circle,rect,polygon {\n",
+       "                          stroke: black;\n",
+       "                          stroke-width: 2;\n",
+       "                          stroke-opacity: 1;\n",
+       "                          fill-opacity: 1;\n",
+       "                          stroke-linecap: round;\n",
+       "                          stroke-linejoin: miter;\n",
+       "                        }\n",
+       "\n",
+       "                    text {\n",
+       "                        /* This fix the spacing bug in svg text*/\n",
+       "                        white-space: pre;\n",
+       "                        fill: black;\n",
+       "                        }\n",
+       "                        rect.backdrop{\n",
+       "                            stroke: none;\n",
+       "                            fill: white;\n",
+       "                        }\n",
+       "                        .broken{\n",
+       "                            stroke-dasharray: 8;\n",
+       "                        }\n",
+       "                        .filled{\n",
+       "                            fill: black;\n",
+       "                        }\n",
+       "                        .bg_filled{\n",
+       "                            fill: white;\n",
+       "                        }\n",
+       "                        .nofill{\n",
+       "                            fill: white;\n",
+       "                        }\n",
+       "\n",
+       "                        text {\n",
+       "                         font-family: monospace;\n",
+       "                         font-size: 14px;\n",
+       "                        }\n",
+       "\n",
+       "                        .end_marked_arrow{\n",
+       "                            marker-end: url(#arrow);\n",
+       "                         }\n",
+       "                        .start_marked_arrow{\n",
+       "                            marker-start: url(#arrow);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_diamond{\n",
+       "                            marker-end: url(#diamond);\n",
+       "                         }\n",
+       "                        .start_marked_diamond{\n",
+       "                            marker-start: url(#diamond);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_circle{\n",
+       "                            marker-end: url(#circle);\n",
+       "                         }\n",
+       "                        .start_marked_circle{\n",
+       "                            marker-start: url(#circle);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_open_circle{\n",
+       "                            marker-end: url(#open_circle);\n",
+       "                         }\n",
+       "                        .start_marked_open_circle{\n",
+       "                            marker-start: url(#open_circle);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_big_open_circle{\n",
+       "                            marker-end: url(#big_open_circle);\n",
+       "                         }\n",
+       "                        .start_marked_big_open_circle{\n",
+       "                            marker-start: url(#big_open_circle);\n",
+       "                         }\n",
+       "\n",
+       "                         \n",
+       "                        </style>\n",
+       "    <defs>\n",
+       "        <marker id=\"arrow\" viewBox=\"-2 -2 8 8\" refX=\"4\" refY=\"2\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <polygon points=\"0,0 0,4 4,2 0,0\"></polygon>\n",
+       "        </marker>\n",
+       "        <marker id=\"diamond\" viewBox=\"-2 -2 8 8\" refX=\"4\" refY=\"2\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <polygon points=\"0,2 2,0 4,2 2,4 0,2\"></polygon>\n",
+       "        </marker>\n",
+       "        <marker id=\"circle\" viewBox=\"0 0 8 8\" refX=\"4\" refY=\"4\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <circle cx=\"4\" cy=\"4\" r=\"2\" class=\"filled\"></circle>\n",
+       "        </marker>\n",
+       "        <marker id=\"open_circle\" viewBox=\"0 0 8 8\" refX=\"4\" refY=\"4\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <circle cx=\"4\" cy=\"4\" r=\"2\" class=\"bg_filled\"></circle>\n",
+       "        </marker>\n",
+       "        <marker id=\"big_open_circle\" viewBox=\"0 0 8 8\" refX=\"4\" refY=\"4\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <circle cx=\"4\" cy=\"4\" r=\"3\" class=\"bg_filled\"></circle>\n",
+       "        </marker>\n",
+       "    </defs>\n",
+       "    <rect x=\"4\" y=\"8\" width=\"32\" height=\"32\" class=\"solid nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"10\" y=\"28\" >i0</text>\n",
+       "    <rect x=\"68\" y=\"8\" width=\"32\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"74\" y=\"28\" >i1</text>\n",
+       "    <rect x=\"132\" y=\"8\" width=\"32\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"138\" y=\"28\" >i2</text>\n",
+       "    <rect x=\"196\" y=\"8\" width=\"32\" height=\"32\" class=\"solid nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"202\" y=\"28\" >i3</text>\n",
+       "    <rect x=\"68\" y=\"72\" width=\"24\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"74\" y=\"92\" >0</text>\n",
+       "    <rect x=\"132\" y=\"72\" width=\"24\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"138\" y=\"92\" >0</text>\n",
+       "    <rect x=\"68\" y=\"216\" width=\"24\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"74\" y=\"236\" >1</text>\n",
+       "    <rect x=\"132\" y=\"216\" width=\"24\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"138\" y=\"236\" >0</text>\n",
+       "    <rect x=\"132\" y=\"264\" width=\"24\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"138\" y=\"284\" >1</text>\n",
+       "    <rect x=\"68\" y=\"360\" width=\"24\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"74\" y=\"380\" >2</text>\n",
+       "    <rect x=\"68\" y=\"504\" width=\"24\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"74\" y=\"524\" >0</text>\n",
+       "    <rect x=\"68\" y=\"648\" width=\"24\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"74\" y=\"668\" >1</text>\n",
+       "    <rect x=\"132\" y=\"696\" width=\"24\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"138\" y=\"716\" >1</text>\n",
+       "    <rect x=\"68\" y=\"808\" width=\"24\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"74\" y=\"828\" >2</text>\n",
+       "    <text x=\"42\" y=\"28\" >p0</text>\n",
+       "    <text x=\"106\" y=\"28\" >p1</text>\n",
+       "    <text x=\"170\" y=\"28\" >p2</text>\n",
+       "    <line x1=\"0\" y1=\"54\" x2=\"232\" y2=\"54\" class=\"solid\"></line>\n",
+       "    <line x1=\"0\" y1=\"58\" x2=\"232\" y2=\"58\" class=\"solid\"></line>\n",
+       "    <text x=\"50\" y=\"76\" >0</text>\n",
+       "    <text x=\"114\" y=\"76\" >0</text>\n",
+       "    <text x=\"178\" y=\"76\" >0</text>\n",
+       "    <text x=\"10\" y=\"92\" >0</text>\n",
+       "    <text x=\"202\" y=\"92\" >1</text>\n",
+       "    <text x=\"50\" y=\"108\" >1</text>\n",
+       "    <text x=\"202\" y=\"108\" >2</text>\n",
+       "    <text x=\"178\" y=\"124\" >2</text>\n",
+       "    <line x1=\"112\" y1=\"136\" x2=\"128\" y2=\"136\" class=\"broken\"></line>\n",
+       "    <text x=\"138\" y=\"140\" >1</text>\n",
+       "    <text x=\"138\" y=\"188\" >2</text>\n",
+       "    <text x=\"114\" y=\"204\" >3</text>\n",
+       "    <text x=\"178\" y=\"220\" >2</text>\n",
+       "    <text x=\"10\" y=\"236\" >0</text>\n",
+       "    <text x=\"202\" y=\"236\" >0</text>\n",
+       "    <text x=\"50\" y=\"252\" >2</text>\n",
+       "    <text x=\"202\" y=\"252\" >2</text>\n",
+       "    <text x=\"178\" y=\"268\" >4</text>\n",
+       "    <line x1=\"112\" y1=\"280\" x2=\"128\" y2=\"280\" class=\"broken\"></line>\n",
+       "    <text x=\"202\" y=\"284\" >0</text>\n",
+       "    <text x=\"178\" y=\"300\" >5</text>\n",
+       "    <text x=\"138\" y=\"332\" >2</text>\n",
+       "    <text x=\"114\" y=\"348\" >6</text>\n",
+       "    <text x=\"10\" y=\"380\" >0</text>\n",
+       "    <text x=\"138\" y=\"380\" >0</text>\n",
+       "    <text x=\"50\" y=\"396\" >3</text>\n",
+       "    <line x1=\"112\" y1=\"424\" x2=\"128\" y2=\"424\" class=\"broken\"></line>\n",
+       "    <text x=\"138\" y=\"428\" >1</text>\n",
+       "    <text x=\"138\" y=\"476\" >2</text>\n",
+       "    <text x=\"114\" y=\"492\" >9</text>\n",
+       "    <text x=\"10\" y=\"524\" >1</text>\n",
+       "    <text x=\"138\" y=\"524\" >0</text>\n",
+       "    <text x=\"50\" y=\"540\" >4</text>\n",
+       "    <line x1=\"112\" y1=\"568\" x2=\"128\" y2=\"568\" class=\"broken\"></line>\n",
+       "    <text x=\"138\" y=\"572\" >1</text>\n",
+       "    <text x=\"138\" y=\"620\" >2</text>\n",
+       "    <text x=\"106\" y=\"636\" >12</text>\n",
+       "    <text x=\"10\" y=\"668\" >1</text>\n",
+       "    <text x=\"138\" y=\"668\" >0</text>\n",
+       "    <text x=\"50\" y=\"684\" >5</text>\n",
+       "    <text x=\"178\" y=\"700\" >5</text>\n",
+       "    <line x1=\"112\" y1=\"712\" x2=\"128\" y2=\"712\" class=\"broken\"></line>\n",
+       "    <text x=\"202\" y=\"716\" >0</text>\n",
+       "    <text x=\"202\" y=\"732\" >1</text>\n",
+       "    <text x=\"202\" y=\"748\" >2</text>\n",
+       "    <text x=\"178\" y=\"764\" >8</text>\n",
+       "    <text x=\"138\" y=\"780\" >2</text>\n",
+       "    <text x=\"106\" y=\"796\" >15</text>\n",
+       "    <text x=\"10\" y=\"828\" >1</text>\n",
+       "    <text x=\"138\" y=\"828\" >0</text>\n",
+       "    <text x=\"50\" y=\"844\" >6</text>\n",
+       "    <line x1=\"112\" y1=\"872\" x2=\"128\" y2=\"872\" class=\"broken\"></line>\n",
+       "    <text x=\"138\" y=\"876\" >1</text>\n",
+       "    <text x=\"138\" y=\"924\" >2</text>\n",
+       "    <text x=\"106\" y=\"940\" >18</text>\n",
+       "    <text x=\"178\" y=\"172\" >2</text>\n",
+       "    <text x=\"178\" y=\"364\" >5</text>\n",
+       "    <text x=\"178\" y=\"412\" >5</text>\n",
+       "    <text x=\"178\" y=\"460\" >5</text>\n",
+       "    <text x=\"178\" y=\"508\" >5</text>\n",
+       "    <text x=\"178\" y=\"556\" >5</text>\n",
+       "    <text x=\"178\" y=\"604\" >5</text>\n",
+       "    <text x=\"178\" y=\"652\" >5</text>\n",
+       "    <text x=\"178\" y=\"812\" >8</text>\n",
+       "    <text x=\"178\" y=\"860\" >8</text>\n",
+       "    <text x=\"178\" y=\"908\" >8</text>\n",
+       "    <text x=\"178\" y=\"940\" >8</text>\n",
+       "    <g>\n",
+       "        <path d=\"M 8,72 A 4,4 0,0,0 4,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"4\" y1=\"76\" x2=\"4\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"8\" y1=\"72\" x2=\"24\" y2=\"72\" class=\"solid\"></line>\n",
+       "        <path d=\"M 24,72 A 4,4 0,0,1 28,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"28\" y1=\"76\" x2=\"28\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"28\" y1=\"88\" x2=\"64\" y2=\"88\" class=\"broken\"></line>\n",
+       "        <path d=\"M 4,100 A 4,4 0,0,0 8,104\" class=\"nofill\"></path>\n",
+       "        <line x1=\"8\" y1=\"104\" x2=\"24\" y2=\"104\" class=\"solid\"></line>\n",
+       "        <path d=\"M 28,100 A 4,4 0,0,1 24,104\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 200,72 A 4,4 0,0,0 196,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"76\" x2=\"196\" y2=\"116\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"72\" x2=\"216\" y2=\"72\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,72 A 4,4 0,0,1 220,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"76\" x2=\"220\" y2=\"116\" class=\"solid\"></line>\n",
+       "        <line x1=\"160\" y1=\"88\" x2=\"196\" y2=\"88\" class=\"solid\"></line>\n",
+       "        <line x1=\"172\" y1=\"88\" x2=\"172\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <path d=\"M 172,100 A 4,4 0,0,0 176,104\" class=\"nofill\"></path>\n",
+       "        <line x1=\"176\" y1=\"104\" x2=\"196\" y2=\"104\" class=\"solid\"></line>\n",
+       "        <path d=\"M 196,116 A 4,4 0,0,0 200,120\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"120\" x2=\"216\" y2=\"120\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,116 A 4,4 0,0,1 216,120\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <line x1=\"96\" y1=\"88\" x2=\"128\" y2=\"88\" class=\"broken\"></line>\n",
+       "        <line x1=\"108\" y1=\"88\" x2=\"108\" y2=\"180\" class=\"broken\"></line>\n",
+       "        <path d=\"M 108,180 A 4,4 0,0,0 112,184\" class=\"nofill\"></path>\n",
+       "        <line x1=\"112\" y1=\"184\" x2=\"128\" y2=\"184\" class=\"broken\"></line>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 136,120 A 4,4 0,0,0 132,124\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"124\" x2=\"132\" y2=\"148\" class=\"broken\"></line>\n",
+       "        <line x1=\"136\" y1=\"120\" x2=\"152\" y2=\"120\" class=\"broken\"></line>\n",
+       "        <path d=\"M 152,120 A 4,4 0,0,1 156,124\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 152,120 A 8,8 0,0,1 158,124\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"124\" x2=\"156\" y2=\"148\" class=\"broken\"></line>\n",
+       "        <line x1=\"158\" y1=\"124\" x2=\"160\" y2=\"128\" class=\"solid\"></line>\n",
+       "        <path d=\"M 160,128 A 16,16 0,0,1 160,144\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 132,148 A 4,4 0,0,0 136,152\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"152\" x2=\"152\" y2=\"152\" class=\"broken\"></line>\n",
+       "        <line x1=\"160\" y1=\"144\" x2=\"158\" y2=\"148\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,148 A 4,4 0,0,1 152,152\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 158,148 A 8,8 0,0,1 152,152\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 136,168 A 4,4 0,0,0 132,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"172\" x2=\"132\" y2=\"196\" class=\"broken\"></line>\n",
+       "        <line x1=\"136\" y1=\"168\" x2=\"152\" y2=\"168\" class=\"broken\"></line>\n",
+       "        <path d=\"M 152,168 A 4,4 0,0,1 156,172\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 152,168 A 8,8 0,0,1 158,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"172\" x2=\"156\" y2=\"196\" class=\"broken\"></line>\n",
+       "        <line x1=\"158\" y1=\"172\" x2=\"160\" y2=\"176\" class=\"solid\"></line>\n",
+       "        <path d=\"M 160,176 A 16,16 0,0,1 160,192\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 132,196 A 4,4 0,0,0 136,200\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"200\" x2=\"152\" y2=\"200\" class=\"broken\"></line>\n",
+       "        <line x1=\"160\" y1=\"192\" x2=\"158\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,196 A 4,4 0,0,1 152,200\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 158,196 A 8,8 0,0,1 152,200\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 8,216 A 4,4 0,0,0 4,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"4\" y1=\"220\" x2=\"4\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <line x1=\"8\" y1=\"216\" x2=\"24\" y2=\"216\" class=\"solid\"></line>\n",
+       "        <path d=\"M 24,216 A 4,4 0,0,1 28,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"28\" y1=\"220\" x2=\"28\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <line x1=\"28\" y1=\"232\" x2=\"64\" y2=\"232\" class=\"broken\"></line>\n",
+       "        <path d=\"M 4,244 A 4,4 0,0,0 8,248\" class=\"nofill\"></path>\n",
+       "        <line x1=\"8\" y1=\"248\" x2=\"24\" y2=\"248\" class=\"solid\"></line>\n",
+       "        <path d=\"M 28,244 A 4,4 0,0,1 24,248\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 200,216 A 4,4 0,0,0 196,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"220\" x2=\"196\" y2=\"292\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"216\" x2=\"216\" y2=\"216\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,216 A 4,4 0,0,1 220,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"220\" x2=\"220\" y2=\"292\" class=\"solid\"></line>\n",
+       "        <line x1=\"160\" y1=\"232\" x2=\"196\" y2=\"232\" class=\"solid\"></line>\n",
+       "        <line x1=\"172\" y1=\"232\" x2=\"172\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <path d=\"M 172,244 A 4,4 0,0,0 176,248\" class=\"nofill\"></path>\n",
+       "        <line x1=\"176\" y1=\"248\" x2=\"196\" y2=\"248\" class=\"solid\"></line>\n",
+       "        <line x1=\"196\" y1=\"264\" x2=\"220\" y2=\"264\" class=\"solid\"></line>\n",
+       "        <line x1=\"160\" y1=\"280\" x2=\"196\" y2=\"280\" class=\"solid\"></line>\n",
+       "        <path d=\"M 196,292 A 4,4 0,0,0 200,296\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"296\" x2=\"216\" y2=\"296\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,292 A 4,4 0,0,1 216,296\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <line x1=\"96\" y1=\"232\" x2=\"128\" y2=\"232\" class=\"broken\"></line>\n",
+       "        <line x1=\"108\" y1=\"232\" x2=\"108\" y2=\"324\" class=\"broken\"></line>\n",
+       "        <path d=\"M 108,324 A 4,4 0,0,0 112,328\" class=\"nofill\"></path>\n",
+       "        <line x1=\"112\" y1=\"328\" x2=\"128\" y2=\"328\" class=\"broken\"></line>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 136,312 A 4,4 0,0,0 132,316\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"316\" x2=\"132\" y2=\"340\" class=\"broken\"></line>\n",
+       "        <line x1=\"136\" y1=\"312\" x2=\"152\" y2=\"312\" class=\"broken\"></line>\n",
+       "        <path d=\"M 152,312 A 4,4 0,0,1 156,316\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 152,312 A 8,8 0,0,1 158,316\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"316\" x2=\"156\" y2=\"340\" class=\"broken\"></line>\n",
+       "        <line x1=\"158\" y1=\"316\" x2=\"160\" y2=\"320\" class=\"solid\"></line>\n",
+       "        <path d=\"M 160,320 A 16,16 0,0,1 160,336\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 132,340 A 4,4 0,0,0 136,344\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"344\" x2=\"152\" y2=\"344\" class=\"broken\"></line>\n",
+       "        <line x1=\"160\" y1=\"336\" x2=\"158\" y2=\"340\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,340 A 4,4 0,0,1 152,344\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 158,340 A 8,8 0,0,1 152,344\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 8,360 A 4,4 0,0,0 4,364\" class=\"nofill\"></path>\n",
+       "        <line x1=\"4\" y1=\"364\" x2=\"4\" y2=\"388\" class=\"solid\"></line>\n",
+       "        <line x1=\"8\" y1=\"360\" x2=\"24\" y2=\"360\" class=\"solid\"></line>\n",
+       "        <path d=\"M 24,360 A 4,4 0,0,1 28,364\" class=\"nofill\"></path>\n",
+       "        <line x1=\"28\" y1=\"364\" x2=\"28\" y2=\"388\" class=\"solid\"></line>\n",
+       "        <line x1=\"28\" y1=\"376\" x2=\"64\" y2=\"376\" class=\"broken\"></line>\n",
+       "        <path d=\"M 4,388 A 4,4 0,0,0 8,392\" class=\"nofill\"></path>\n",
+       "        <line x1=\"8\" y1=\"392\" x2=\"24\" y2=\"392\" class=\"solid\"></line>\n",
+       "        <path d=\"M 28,388 A 4,4 0,0,1 24,392\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 136,360 A 4,4 0,0,0 132,364\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"364\" x2=\"132\" y2=\"388\" class=\"broken\"></line>\n",
+       "        <line x1=\"136\" y1=\"360\" x2=\"152\" y2=\"360\" class=\"broken\"></line>\n",
+       "        <path d=\"M 152,360 A 4,4 0,0,1 156,364\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 152,360 A 8,8 0,0,1 158,364\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"364\" x2=\"156\" y2=\"388\" class=\"broken\"></line>\n",
+       "        <line x1=\"158\" y1=\"364\" x2=\"160\" y2=\"368\" class=\"solid\"></line>\n",
+       "        <path d=\"M 160,368 A 16,16 0,0,1 160,384\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 132,388 A 4,4 0,0,0 136,392\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"392\" x2=\"152\" y2=\"392\" class=\"broken\"></line>\n",
+       "        <line x1=\"160\" y1=\"384\" x2=\"158\" y2=\"388\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,388 A 4,4 0,0,1 152,392\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 158,388 A 8,8 0,0,1 152,392\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <line x1=\"96\" y1=\"376\" x2=\"128\" y2=\"376\" class=\"broken\"></line>\n",
+       "        <line x1=\"108\" y1=\"376\" x2=\"108\" y2=\"468\" class=\"broken\"></line>\n",
+       "        <path d=\"M 108,468 A 4,4 0,0,0 112,472\" class=\"nofill\"></path>\n",
+       "        <line x1=\"112\" y1=\"472\" x2=\"128\" y2=\"472\" class=\"broken\"></line>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 136,408 A 4,4 0,0,0 132,412\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"412\" x2=\"132\" y2=\"436\" class=\"broken\"></line>\n",
+       "        <line x1=\"136\" y1=\"408\" x2=\"152\" y2=\"408\" class=\"broken\"></line>\n",
+       "        <path d=\"M 152,408 A 4,4 0,0,1 156,412\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 152,408 A 8,8 0,0,1 158,412\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"412\" x2=\"156\" y2=\"436\" class=\"broken\"></line>\n",
+       "        <line x1=\"158\" y1=\"412\" x2=\"160\" y2=\"416\" class=\"solid\"></line>\n",
+       "        <path d=\"M 160,416 A 16,16 0,0,1 160,432\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 132,436 A 4,4 0,0,0 136,440\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"440\" x2=\"152\" y2=\"440\" class=\"broken\"></line>\n",
+       "        <line x1=\"160\" y1=\"432\" x2=\"158\" y2=\"436\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,436 A 4,4 0,0,1 152,440\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 158,436 A 8,8 0,0,1 152,440\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 136,456 A 4,4 0,0,0 132,460\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"460\" x2=\"132\" y2=\"484\" class=\"broken\"></line>\n",
+       "        <line x1=\"136\" y1=\"456\" x2=\"152\" y2=\"456\" class=\"broken\"></line>\n",
+       "        <path d=\"M 152,456 A 4,4 0,0,1 156,460\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 152,456 A 8,8 0,0,1 158,460\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"460\" x2=\"156\" y2=\"484\" class=\"broken\"></line>\n",
+       "        <line x1=\"158\" y1=\"460\" x2=\"160\" y2=\"464\" class=\"solid\"></line>\n",
+       "        <path d=\"M 160,464 A 16,16 0,0,1 160,480\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 132,484 A 4,4 0,0,0 136,488\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"488\" x2=\"152\" y2=\"488\" class=\"broken\"></line>\n",
+       "        <line x1=\"160\" y1=\"480\" x2=\"158\" y2=\"484\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,484 A 4,4 0,0,1 152,488\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 158,484 A 8,8 0,0,1 152,488\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 8,504 A 4,4 0,0,0 4,508\" class=\"nofill\"></path>\n",
+       "        <line x1=\"4\" y1=\"508\" x2=\"4\" y2=\"532\" class=\"solid\"></line>\n",
+       "        <line x1=\"8\" y1=\"504\" x2=\"24\" y2=\"504\" class=\"solid\"></line>\n",
+       "        <path d=\"M 24,504 A 4,4 0,0,1 28,508\" class=\"nofill\"></path>\n",
+       "        <line x1=\"28\" y1=\"508\" x2=\"28\" y2=\"532\" class=\"solid\"></line>\n",
+       "        <line x1=\"28\" y1=\"520\" x2=\"64\" y2=\"520\" class=\"broken\"></line>\n",
+       "        <path d=\"M 4,532 A 4,4 0,0,0 8,536\" class=\"nofill\"></path>\n",
+       "        <line x1=\"8\" y1=\"536\" x2=\"24\" y2=\"536\" class=\"solid\"></line>\n",
+       "        <path d=\"M 28,532 A 4,4 0,0,1 24,536\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 136,504 A 4,4 0,0,0 132,508\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"508\" x2=\"132\" y2=\"532\" class=\"broken\"></line>\n",
+       "        <line x1=\"136\" y1=\"504\" x2=\"152\" y2=\"504\" class=\"broken\"></line>\n",
+       "        <path d=\"M 152,504 A 4,4 0,0,1 156,508\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 152,504 A 8,8 0,0,1 158,508\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"508\" x2=\"156\" y2=\"532\" class=\"broken\"></line>\n",
+       "        <line x1=\"158\" y1=\"508\" x2=\"160\" y2=\"512\" class=\"solid\"></line>\n",
+       "        <path d=\"M 160,512 A 16,16 0,0,1 160,528\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 132,532 A 4,4 0,0,0 136,536\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"536\" x2=\"152\" y2=\"536\" class=\"broken\"></line>\n",
+       "        <line x1=\"160\" y1=\"528\" x2=\"158\" y2=\"532\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,532 A 4,4 0,0,1 152,536\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 158,532 A 8,8 0,0,1 152,536\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <line x1=\"96\" y1=\"520\" x2=\"128\" y2=\"520\" class=\"broken\"></line>\n",
+       "        <line x1=\"108\" y1=\"520\" x2=\"108\" y2=\"612\" class=\"broken\"></line>\n",
+       "        <path d=\"M 108,612 A 4,4 0,0,0 112,616\" class=\"nofill\"></path>\n",
+       "        <line x1=\"112\" y1=\"616\" x2=\"128\" y2=\"616\" class=\"broken\"></line>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 136,552 A 4,4 0,0,0 132,556\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"556\" x2=\"132\" y2=\"580\" class=\"broken\"></line>\n",
+       "        <line x1=\"136\" y1=\"552\" x2=\"152\" y2=\"552\" class=\"broken\"></line>\n",
+       "        <path d=\"M 152,552 A 4,4 0,0,1 156,556\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 152,552 A 8,8 0,0,1 158,556\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"556\" x2=\"156\" y2=\"580\" class=\"broken\"></line>\n",
+       "        <line x1=\"158\" y1=\"556\" x2=\"160\" y2=\"560\" class=\"solid\"></line>\n",
+       "        <path d=\"M 160,560 A 16,16 0,0,1 160,576\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 132,580 A 4,4 0,0,0 136,584\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"584\" x2=\"152\" y2=\"584\" class=\"broken\"></line>\n",
+       "        <line x1=\"160\" y1=\"576\" x2=\"158\" y2=\"580\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,580 A 4,4 0,0,1 152,584\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 158,580 A 8,8 0,0,1 152,584\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 136,600 A 4,4 0,0,0 132,604\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"604\" x2=\"132\" y2=\"628\" class=\"broken\"></line>\n",
+       "        <line x1=\"136\" y1=\"600\" x2=\"152\" y2=\"600\" class=\"broken\"></line>\n",
+       "        <path d=\"M 152,600 A 4,4 0,0,1 156,604\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 152,600 A 8,8 0,0,1 158,604\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"604\" x2=\"156\" y2=\"628\" class=\"broken\"></line>\n",
+       "        <line x1=\"158\" y1=\"604\" x2=\"160\" y2=\"608\" class=\"solid\"></line>\n",
+       "        <path d=\"M 160,608 A 16,16 0,0,1 160,624\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 132,628 A 4,4 0,0,0 136,632\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"632\" x2=\"152\" y2=\"632\" class=\"broken\"></line>\n",
+       "        <line x1=\"160\" y1=\"624\" x2=\"158\" y2=\"628\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,628 A 4,4 0,0,1 152,632\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 158,628 A 8,8 0,0,1 152,632\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 8,648 A 4,4 0,0,0 4,652\" class=\"nofill\"></path>\n",
+       "        <line x1=\"4\" y1=\"652\" x2=\"4\" y2=\"676\" class=\"solid\"></line>\n",
+       "        <line x1=\"8\" y1=\"648\" x2=\"24\" y2=\"648\" class=\"solid\"></line>\n",
+       "        <path d=\"M 24,648 A 4,4 0,0,1 28,652\" class=\"nofill\"></path>\n",
+       "        <line x1=\"28\" y1=\"652\" x2=\"28\" y2=\"676\" class=\"solid\"></line>\n",
+       "        <line x1=\"28\" y1=\"664\" x2=\"64\" y2=\"664\" class=\"broken\"></line>\n",
+       "        <path d=\"M 4,676 A 4,4 0,0,0 8,680\" class=\"nofill\"></path>\n",
+       "        <line x1=\"8\" y1=\"680\" x2=\"24\" y2=\"680\" class=\"solid\"></line>\n",
+       "        <path d=\"M 28,676 A 4,4 0,0,1 24,680\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 136,648 A 4,4 0,0,0 132,652\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"652\" x2=\"132\" y2=\"676\" class=\"broken\"></line>\n",
+       "        <line x1=\"136\" y1=\"648\" x2=\"152\" y2=\"648\" class=\"broken\"></line>\n",
+       "        <path d=\"M 152,648 A 4,4 0,0,1 156,652\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 152,648 A 8,8 0,0,1 158,652\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"652\" x2=\"156\" y2=\"676\" class=\"broken\"></line>\n",
+       "        <line x1=\"158\" y1=\"652\" x2=\"160\" y2=\"656\" class=\"solid\"></line>\n",
+       "        <path d=\"M 160,656 A 16,16 0,0,1 160,672\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 132,676 A 4,4 0,0,0 136,680\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"680\" x2=\"152\" y2=\"680\" class=\"broken\"></line>\n",
+       "        <line x1=\"160\" y1=\"672\" x2=\"158\" y2=\"676\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,676 A 4,4 0,0,1 152,680\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 158,676 A 8,8 0,0,1 152,680\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <line x1=\"96\" y1=\"664\" x2=\"128\" y2=\"664\" class=\"broken\"></line>\n",
+       "        <line x1=\"108\" y1=\"664\" x2=\"108\" y2=\"772\" class=\"broken\"></line>\n",
+       "        <path d=\"M 108,772 A 4,4 0,0,0 112,776\" class=\"nofill\"></path>\n",
+       "        <line x1=\"112\" y1=\"776\" x2=\"128\" y2=\"776\" class=\"broken\"></line>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 200,696 A 4,4 0,0,0 196,700\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"700\" x2=\"196\" y2=\"756\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"696\" x2=\"216\" y2=\"696\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,696 A 4,4 0,0,1 220,700\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"700\" x2=\"220\" y2=\"756\" class=\"solid\"></line>\n",
+       "        <line x1=\"160\" y1=\"712\" x2=\"196\" y2=\"712\" class=\"solid\"></line>\n",
+       "        <line x1=\"172\" y1=\"712\" x2=\"172\" y2=\"740\" class=\"solid\"></line>\n",
+       "        <line x1=\"172\" y1=\"728\" x2=\"196\" y2=\"728\" class=\"solid\"></line>\n",
+       "        <path d=\"M 172,740 A 4,4 0,0,0 176,744\" class=\"nofill\"></path>\n",
+       "        <line x1=\"176\" y1=\"744\" x2=\"196\" y2=\"744\" class=\"solid\"></line>\n",
+       "        <path d=\"M 196,756 A 4,4 0,0,0 200,760\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"760\" x2=\"216\" y2=\"760\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,756 A 4,4 0,0,1 216,760\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 136,760 A 4,4 0,0,0 132,764\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"764\" x2=\"132\" y2=\"788\" class=\"broken\"></line>\n",
+       "        <line x1=\"136\" y1=\"760\" x2=\"152\" y2=\"760\" class=\"broken\"></line>\n",
+       "        <path d=\"M 152,760 A 4,4 0,0,1 156,764\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 152,760 A 8,8 0,0,1 158,764\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"764\" x2=\"156\" y2=\"788\" class=\"broken\"></line>\n",
+       "        <line x1=\"158\" y1=\"764\" x2=\"160\" y2=\"768\" class=\"solid\"></line>\n",
+       "        <path d=\"M 160,768 A 16,16 0,0,1 160,784\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 132,788 A 4,4 0,0,0 136,792\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"792\" x2=\"152\" y2=\"792\" class=\"broken\"></line>\n",
+       "        <line x1=\"160\" y1=\"784\" x2=\"158\" y2=\"788\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,788 A 4,4 0,0,1 152,792\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 158,788 A 8,8 0,0,1 152,792\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 8,808 A 4,4 0,0,0 4,812\" class=\"nofill\"></path>\n",
+       "        <line x1=\"4\" y1=\"812\" x2=\"4\" y2=\"836\" class=\"solid\"></line>\n",
+       "        <line x1=\"8\" y1=\"808\" x2=\"24\" y2=\"808\" class=\"solid\"></line>\n",
+       "        <path d=\"M 24,808 A 4,4 0,0,1 28,812\" class=\"nofill\"></path>\n",
+       "        <line x1=\"28\" y1=\"812\" x2=\"28\" y2=\"836\" class=\"solid\"></line>\n",
+       "        <line x1=\"28\" y1=\"824\" x2=\"64\" y2=\"824\" class=\"broken\"></line>\n",
+       "        <path d=\"M 4,836 A 4,4 0,0,0 8,840\" class=\"nofill\"></path>\n",
+       "        <line x1=\"8\" y1=\"840\" x2=\"24\" y2=\"840\" class=\"solid\"></line>\n",
+       "        <path d=\"M 28,836 A 4,4 0,0,1 24,840\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 136,808 A 4,4 0,0,0 132,812\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"812\" x2=\"132\" y2=\"836\" class=\"broken\"></line>\n",
+       "        <line x1=\"136\" y1=\"808\" x2=\"152\" y2=\"808\" class=\"broken\"></line>\n",
+       "        <path d=\"M 152,808 A 4,4 0,0,1 156,812\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 152,808 A 8,8 0,0,1 158,812\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"812\" x2=\"156\" y2=\"836\" class=\"broken\"></line>\n",
+       "        <line x1=\"158\" y1=\"812\" x2=\"160\" y2=\"816\" class=\"solid\"></line>\n",
+       "        <path d=\"M 160,816 A 16,16 0,0,1 160,832\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 132,836 A 4,4 0,0,0 136,840\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"840\" x2=\"152\" y2=\"840\" class=\"broken\"></line>\n",
+       "        <line x1=\"160\" y1=\"832\" x2=\"158\" y2=\"836\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,836 A 4,4 0,0,1 152,840\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 158,836 A 8,8 0,0,1 152,840\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <line x1=\"96\" y1=\"824\" x2=\"128\" y2=\"824\" class=\"broken\"></line>\n",
+       "        <line x1=\"108\" y1=\"824\" x2=\"108\" y2=\"916\" class=\"broken\"></line>\n",
+       "        <path d=\"M 108,916 A 4,4 0,0,0 112,920\" class=\"nofill\"></path>\n",
+       "        <line x1=\"112\" y1=\"920\" x2=\"128\" y2=\"920\" class=\"broken\"></line>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 136,856 A 4,4 0,0,0 132,860\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"860\" x2=\"132\" y2=\"884\" class=\"broken\"></line>\n",
+       "        <line x1=\"136\" y1=\"856\" x2=\"152\" y2=\"856\" class=\"broken\"></line>\n",
+       "        <path d=\"M 152,856 A 4,4 0,0,1 156,860\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 152,856 A 8,8 0,0,1 158,860\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"860\" x2=\"156\" y2=\"884\" class=\"broken\"></line>\n",
+       "        <line x1=\"158\" y1=\"860\" x2=\"160\" y2=\"864\" class=\"solid\"></line>\n",
+       "        <path d=\"M 160,864 A 16,16 0,0,1 160,880\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 132,884 A 4,4 0,0,0 136,888\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"888\" x2=\"152\" y2=\"888\" class=\"broken\"></line>\n",
+       "        <line x1=\"160\" y1=\"880\" x2=\"158\" y2=\"884\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,884 A 4,4 0,0,1 152,888\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 158,884 A 8,8 0,0,1 152,888\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 136,904 A 4,4 0,0,0 132,908\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"908\" x2=\"132\" y2=\"932\" class=\"broken\"></line>\n",
+       "        <line x1=\"136\" y1=\"904\" x2=\"152\" y2=\"904\" class=\"broken\"></line>\n",
+       "        <path d=\"M 152,904 A 4,4 0,0,1 156,908\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 152,904 A 8,8 0,0,1 158,908\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"908\" x2=\"156\" y2=\"932\" class=\"broken\"></line>\n",
+       "        <line x1=\"158\" y1=\"908\" x2=\"160\" y2=\"912\" class=\"solid\"></line>\n",
+       "        <path d=\"M 160,912 A 16,16 0,0,1 160,928\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 132,932 A 4,4 0,0,0 136,936\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"936\" x2=\"152\" y2=\"936\" class=\"broken\"></line>\n",
+       "        <line x1=\"160\" y1=\"928\" x2=\"158\" y2=\"932\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,932 A 4,4 0,0,1 152,936\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 158,932 A 8,8 0,0,1 152,936\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "</svg>"
+      ],
+      "text/plain": [
+       ".---.   .~~~.   .~~~.   .---.\n",
+       "|i0 |p0 ┊i1 ┊p1 ┊i2 ┊p2 |i3 |\n",
+       "`---'   `~~~'   `~~~'   `---'\n",
+       "=============================\n",
+       ".--.  0 .~~.  0 .~~.  0 .--.\n",
+       "|0 |~~~~┊0 ┊~+~~┊0 ┊-+--|1 |\n",
+       "`--'  1 `~~' ┊  `~~' `--|2 |\n",
+       "             ┊  .~~.  2 `--'\n",
+       "             ┊~~┊1 ┊)\n",
+       "             ┊  `~~'\n",
+       "             ┊  .~~.  2\n",
+       "             `~~┊2 ┊)\n",
+       "              3 `~~'\n",
+       ".--.    .~~.    .~~.  2 .--.\n",
+       "|0 |~~~~┊1 ┊~+~~┊0 ┊-+--|0 |\n",
+       "`--'  2 `~~' ┊  `~~' `--|2 |\n",
+       "             ┊  .~~.  4 |--|\n",
+       "             ┊~~┊1 ┊----|0 |\n",
+       "             ┊  `~~'  5 `--'\n",
+       "             ┊  .~~.\n",
+       "             `~~┊2 ┊)\n",
+       "              6 `~~'\n",
+       ".--.    .~~.    .~~.  5\n",
+       "|0 |~~~~┊2 ┊~+~~┊0 ┊)\n",
+       "`--'  3 `~~' ┊  `~~'\n",
+       "             ┊  .~~.  5\n",
+       "             ┊~~┊1 ┊)\n",
+       "             ┊  `~~'\n",
+       "             ┊  .~~.  5\n",
+       "             `~~┊2 ┊)\n",
+       "              9 `~~'\n",
+       ".--.    .~~.    .~~.  5\n",
+       "|1 |~~~~┊0 ┊~+~~┊0 ┊)\n",
+       "`--'  4 `~~' ┊  `~~'\n",
+       "             ┊  .~~.  5\n",
+       "             ┊~~┊1 ┊)\n",
+       "             ┊  `~~'\n",
+       "             ┊  .~~.  5\n",
+       "             `~~┊2 ┊)\n",
+       "             12 `~~'\n",
+       ".--.    .~~.    .~~.  5\n",
+       "|1 |~~~~┊1 ┊~+~~┊0 ┊)\n",
+       "`--'  5 `~~' ┊  `~~'\n",
+       "             ┊  .~~.  5 .--.\n",
+       "             ┊~~┊1 ┊-+--|0 |\n",
+       "             ┊  `~~' |--|1 |\n",
+       "             ┊       `--|2 |\n",
+       "             ┊  .~~.  8 `--'\n",
+       "             `~~┊2 ┊)\n",
+       "             15 `~~'\n",
+       ".--.    .~~.    .~~.  8\n",
+       "|1 |~~~~┊2 ┊~+~~┊0 ┊)\n",
+       "`--'  6 `~~' ┊  `~~'\n",
+       "             ┊  .~~.  8\n",
+       "             ┊~~┊1 ┊)\n",
+       "             ┊  `~~'\n",
+       "             ┊  .~~.  8\n",
+       "             `~~┊2 ┊)\n",
+       "             18 `~~'  8"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "text/markdown": [
+       "# S-C-DC-S"
+      ],
+      "text/plain": [
+       "<IPython.core.display.Markdown object>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "image/svg+xml": [
+       "<svg xmlns=\"http://www.w3.org/2000/svg\" width=\"240\" height=\"368\">\n",
+       "    <style>line, path, circle,rect,polygon {\n",
+       "                          stroke: black;\n",
+       "                          stroke-width: 2;\n",
+       "                          stroke-opacity: 1;\n",
+       "                          fill-opacity: 1;\n",
+       "                          stroke-linecap: round;\n",
+       "                          stroke-linejoin: miter;\n",
+       "                        }\n",
+       "\n",
+       "                    text {\n",
+       "                        /* This fix the spacing bug in svg text*/\n",
+       "                        white-space: pre;\n",
+       "                        fill: black;\n",
+       "                        }\n",
+       "                        rect.backdrop{\n",
+       "                            stroke: none;\n",
+       "                            fill: white;\n",
+       "                        }\n",
+       "                        .broken{\n",
+       "                            stroke-dasharray: 8;\n",
+       "                        }\n",
+       "                        .filled{\n",
+       "                            fill: black;\n",
+       "                        }\n",
+       "                        .bg_filled{\n",
+       "                            fill: white;\n",
+       "                        }\n",
+       "                        .nofill{\n",
+       "                            fill: white;\n",
+       "                        }\n",
+       "\n",
+       "                        text {\n",
+       "                         font-family: monospace;\n",
+       "                         font-size: 14px;\n",
+       "                        }\n",
+       "\n",
+       "                        .end_marked_arrow{\n",
+       "                            marker-end: url(#arrow);\n",
+       "                         }\n",
+       "                        .start_marked_arrow{\n",
+       "                            marker-start: url(#arrow);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_diamond{\n",
+       "                            marker-end: url(#diamond);\n",
+       "                         }\n",
+       "                        .start_marked_diamond{\n",
+       "                            marker-start: url(#diamond);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_circle{\n",
+       "                            marker-end: url(#circle);\n",
+       "                         }\n",
+       "                        .start_marked_circle{\n",
+       "                            marker-start: url(#circle);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_open_circle{\n",
+       "                            marker-end: url(#open_circle);\n",
+       "                         }\n",
+       "                        .start_marked_open_circle{\n",
+       "                            marker-start: url(#open_circle);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_big_open_circle{\n",
+       "                            marker-end: url(#big_open_circle);\n",
+       "                         }\n",
+       "                        .start_marked_big_open_circle{\n",
+       "                            marker-start: url(#big_open_circle);\n",
+       "                         }\n",
+       "\n",
+       "                         \n",
+       "                        </style>\n",
+       "    <defs>\n",
+       "        <marker id=\"arrow\" viewBox=\"-2 -2 8 8\" refX=\"4\" refY=\"2\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <polygon points=\"0,0 0,4 4,2 0,0\"></polygon>\n",
+       "        </marker>\n",
+       "        <marker id=\"diamond\" viewBox=\"-2 -2 8 8\" refX=\"4\" refY=\"2\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <polygon points=\"0,2 2,0 4,2 2,4 0,2\"></polygon>\n",
+       "        </marker>\n",
+       "        <marker id=\"circle\" viewBox=\"0 0 8 8\" refX=\"4\" refY=\"4\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <circle cx=\"4\" cy=\"4\" r=\"2\" class=\"filled\"></circle>\n",
+       "        </marker>\n",
+       "        <marker id=\"open_circle\" viewBox=\"0 0 8 8\" refX=\"4\" refY=\"4\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <circle cx=\"4\" cy=\"4\" r=\"2\" class=\"bg_filled\"></circle>\n",
+       "        </marker>\n",
+       "        <marker id=\"big_open_circle\" viewBox=\"0 0 8 8\" refX=\"4\" refY=\"4\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <circle cx=\"4\" cy=\"4\" r=\"3\" class=\"bg_filled\"></circle>\n",
+       "        </marker>\n",
+       "    </defs>\n",
+       "    <rect x=\"4\" y=\"8\" width=\"32\" height=\"32\" class=\"solid nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"10\" y=\"28\" >i0</text>\n",
+       "    <rect x=\"68\" y=\"8\" width=\"32\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"74\" y=\"28\" >i1</text>\n",
+       "    <rect x=\"132\" y=\"8\" width=\"32\" height=\"32\" class=\"solid nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"138\" y=\"28\" >i2</text>\n",
+       "    <rect x=\"196\" y=\"8\" width=\"32\" height=\"32\" class=\"solid nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"202\" y=\"28\" >i3</text>\n",
+       "    <rect x=\"68\" y=\"72\" width=\"24\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"74\" y=\"92\" >0</text>\n",
+       "    <rect x=\"68\" y=\"120\" width=\"24\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"74\" y=\"140\" >1</text>\n",
+       "    <rect x=\"68\" y=\"264\" width=\"24\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"74\" y=\"284\" >1</text>\n",
+       "    <text x=\"42\" y=\"28\" >p0</text>\n",
+       "    <text x=\"106\" y=\"28\" >p1</text>\n",
+       "    <text x=\"170\" y=\"28\" >p2</text>\n",
+       "    <line x1=\"0\" y1=\"54\" x2=\"232\" y2=\"54\" class=\"solid\"></line>\n",
+       "    <line x1=\"0\" y1=\"58\" x2=\"232\" y2=\"58\" class=\"solid\"></line>\n",
+       "    <text x=\"50\" y=\"76\" >0</text>\n",
+       "    <text x=\"114\" y=\"76\" >0</text>\n",
+       "    <text x=\"178\" y=\"76\" >0</text>\n",
+       "    <text x=\"10\" y=\"92\" >0</text>\n",
+       "    <text x=\"138\" y=\"92\" >0</text>\n",
+       "    <text x=\"202\" y=\"92\" >1</text>\n",
+       "    <text x=\"50\" y=\"108\" >1</text>\n",
+       "    <text x=\"114\" y=\"108\" >1</text>\n",
+       "    <text x=\"202\" y=\"108\" >2</text>\n",
+       "    <text x=\"178\" y=\"124\" >2</text>\n",
+       "    <text x=\"10\" y=\"140\" >0</text>\n",
+       "    <text x=\"138\" y=\"140\" >0</text>\n",
+       "    <text x=\"202\" y=\"140\" >0</text>\n",
+       "    <text x=\"50\" y=\"156\" >2</text>\n",
+       "    <text x=\"202\" y=\"156\" >2</text>\n",
+       "    <text x=\"178\" y=\"172\" >4</text>\n",
+       "    <text x=\"10\" y=\"188\" >0</text>\n",
+       "    <text x=\"74\" y=\"188\" >2</text>\n",
+       "    <text x=\"138\" y=\"188\" >1</text>\n",
+       "    <text x=\"202\" y=\"188\" >0</text>\n",
+       "    <text x=\"50\" y=\"204\" >3</text>\n",
+       "    <text x=\"114\" y=\"204\" >3</text>\n",
+       "    <text x=\"178\" y=\"204\" >5</text>\n",
+       "    <text x=\"114\" y=\"220\" >3</text>\n",
+       "    <text x=\"10\" y=\"236\" >1</text>\n",
+       "    <text x=\"74\" y=\"236\" >0</text>\n",
+       "    <text x=\"50\" y=\"252\" >4</text>\n",
+       "    <text x=\"114\" y=\"268\" >3</text>\n",
+       "    <text x=\"10\" y=\"284\" >1</text>\n",
+       "    <text x=\"138\" y=\"284\" >1</text>\n",
+       "    <text x=\"202\" y=\"284\" >0</text>\n",
+       "    <text x=\"50\" y=\"300\" >5</text>\n",
+       "    <text x=\"114\" y=\"300\" >4</text>\n",
+       "    <text x=\"202\" y=\"300\" >1</text>\n",
+       "    <text x=\"202\" y=\"316\" >2</text>\n",
+       "    <text x=\"10\" y=\"332\" >1</text>\n",
+       "    <text x=\"74\" y=\"332\" >2</text>\n",
+       "    <text x=\"178\" y=\"332\" >8</text>\n",
+       "    <text x=\"50\" y=\"348\" >6</text>\n",
+       "    <text x=\"114\" y=\"348\" >4</text>\n",
+       "    <g>\n",
+       "        <path d=\"M 8,72 A 4,4 0,0,0 4,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"4\" y1=\"76\" x2=\"4\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"8\" y1=\"72\" x2=\"24\" y2=\"72\" class=\"solid\"></line>\n",
+       "        <path d=\"M 24,72 A 4,4 0,0,1 28,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"28\" y1=\"76\" x2=\"28\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"28\" y1=\"88\" x2=\"64\" y2=\"88\" class=\"broken\"></line>\n",
+       "        <path d=\"M 4,100 A 4,4 0,0,0 8,104\" class=\"nofill\"></path>\n",
+       "        <line x1=\"8\" y1=\"104\" x2=\"24\" y2=\"104\" class=\"solid\"></line>\n",
+       "        <path d=\"M 28,100 A 4,4 0,0,1 24,104\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 136,72 A 4,4 0,0,0 132,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"76\" x2=\"132\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"136\" y1=\"72\" x2=\"152\" y2=\"72\" class=\"solid\"></line>\n",
+       "        <path d=\"M 152,72 A 4,4 0,0,1 156,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"76\" x2=\"156\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"96\" y1=\"88\" x2=\"132\" y2=\"88\" class=\"solid\"></line>\n",
+       "        <path d=\"M 132,100 A 4,4 0,0,0 136,104\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"104\" x2=\"152\" y2=\"104\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,100 A 4,4 0,0,1 152,104\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 200,72 A 4,4 0,0,0 196,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"76\" x2=\"196\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"72\" x2=\"216\" y2=\"72\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,72 A 4,4 0,0,1 220,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"76\" x2=\"220\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <line x1=\"156\" y1=\"88\" x2=\"196\" y2=\"88\" class=\"solid\"></line>\n",
+       "        <line x1=\"172\" y1=\"88\" x2=\"172\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <path d=\"M 172,100 A 4,4 0,0,0 176,104\" class=\"nofill\"></path>\n",
+       "        <line x1=\"176\" y1=\"104\" x2=\"196\" y2=\"104\" class=\"solid\"></line>\n",
+       "        <line x1=\"196\" y1=\"120\" x2=\"220\" y2=\"120\" class=\"solid\"></line>\n",
+       "        <line x1=\"196\" y1=\"168\" x2=\"220\" y2=\"168\" class=\"solid\"></line>\n",
+       "        <path d=\"M 196,196 A 4,4 0,0,0 200,200\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"200\" x2=\"216\" y2=\"200\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,196 A 4,4 0,0,1 216,200\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 136,120 A 4,4 0,0,0 132,124\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"124\" x2=\"132\" y2=\"148\" class=\"solid\"></line>\n",
+       "        <line x1=\"136\" y1=\"120\" x2=\"152\" y2=\"120\" class=\"solid\"></line>\n",
+       "        <path d=\"M 152,120 A 4,4 0,0,1 156,124\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"124\" x2=\"156\" y2=\"148\" class=\"solid\"></line>\n",
+       "        <line x1=\"96\" y1=\"136\" x2=\"132\" y2=\"136\" class=\"solid\"></line>\n",
+       "        <line x1=\"108\" y1=\"136\" x2=\"108\" y2=\"180\" class=\"solid\"></line>\n",
+       "        <line x1=\"156\" y1=\"136\" x2=\"196\" y2=\"136\" class=\"solid\"></line>\n",
+       "        <line x1=\"172\" y1=\"136\" x2=\"172\" y2=\"148\" class=\"solid\"></line>\n",
+       "        <path d=\"M 132,148 A 4,4 0,0,0 136,152\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"152\" x2=\"152\" y2=\"152\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,148 A 4,4 0,0,1 152,152\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 172,148 A 4,4 0,0,0 176,152\" class=\"nofill\"></path>\n",
+       "        <line x1=\"176\" y1=\"152\" x2=\"196\" y2=\"152\" class=\"solid\"></line>\n",
+       "        <path d=\"M 108,180 A 4,4 0,0,0 112,184\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 136,168 A 4,4 0,0,0 132,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"172\" x2=\"132\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <line x1=\"136\" y1=\"168\" x2=\"152\" y2=\"168\" class=\"solid\"></line>\n",
+       "        <path d=\"M 152,168 A 4,4 0,0,1 156,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"172\" x2=\"156\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <line x1=\"112\" y1=\"184\" x2=\"132\" y2=\"184\" class=\"solid\"></line>\n",
+       "        <line x1=\"156\" y1=\"184\" x2=\"196\" y2=\"184\" class=\"solid\"></line>\n",
+       "        <path d=\"M 132,196 A 4,4 0,0,0 136,200\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"200\" x2=\"152\" y2=\"200\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,196 A 4,4 0,0,1 152,200\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 8,120 A 4,4 0,0,0 4,124\" class=\"nofill\"></path>\n",
+       "        <line x1=\"4\" y1=\"124\" x2=\"4\" y2=\"148\" class=\"solid\"></line>\n",
+       "        <line x1=\"8\" y1=\"120\" x2=\"24\" y2=\"120\" class=\"solid\"></line>\n",
+       "        <path d=\"M 24,120 A 4,4 0,0,1 28,124\" class=\"nofill\"></path>\n",
+       "        <line x1=\"28\" y1=\"124\" x2=\"28\" y2=\"148\" class=\"solid\"></line>\n",
+       "        <line x1=\"28\" y1=\"136\" x2=\"64\" y2=\"136\" class=\"broken\"></line>\n",
+       "        <path d=\"M 4,148 A 4,4 0,0,0 8,152\" class=\"nofill\"></path>\n",
+       "        <line x1=\"8\" y1=\"152\" x2=\"24\" y2=\"152\" class=\"solid\"></line>\n",
+       "        <path d=\"M 28,148 A 4,4 0,0,1 24,152\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 8,168 A 4,4 0,0,0 4,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"4\" y1=\"172\" x2=\"4\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <line x1=\"8\" y1=\"168\" x2=\"24\" y2=\"168\" class=\"solid\"></line>\n",
+       "        <path d=\"M 24,168 A 4,4 0,0,1 28,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"28\" y1=\"172\" x2=\"28\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <line x1=\"28\" y1=\"184\" x2=\"64\" y2=\"184\" class=\"broken\"></line>\n",
+       "        <path d=\"M 4,196 A 4,4 0,0,0 8,200\" class=\"nofill\"></path>\n",
+       "        <line x1=\"8\" y1=\"200\" x2=\"24\" y2=\"200\" class=\"solid\"></line>\n",
+       "        <path d=\"M 28,196 A 4,4 0,0,1 24,200\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 72,168 A 4,4 0,0,0 68,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"68\" y1=\"172\" x2=\"68\" y2=\"196\" class=\"broken\"></line>\n",
+       "        <line x1=\"72\" y1=\"168\" x2=\"88\" y2=\"168\" class=\"broken\"></line>\n",
+       "        <path d=\"M 88,168 A 4,4 0,0,1 92,172\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 88,168 A 8,8 0,0,1 94,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"92\" y1=\"172\" x2=\"92\" y2=\"196\" class=\"broken\"></line>\n",
+       "        <line x1=\"94\" y1=\"172\" x2=\"96\" y2=\"176\" class=\"solid\"></line>\n",
+       "        <path d=\"M 96,176 A 16,16 0,0,1 96,192\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 68,196 A 4,4 0,0,0 72,200\" class=\"nofill\"></path>\n",
+       "        <line x1=\"72\" y1=\"200\" x2=\"88\" y2=\"200\" class=\"broken\"></line>\n",
+       "        <line x1=\"96\" y1=\"192\" x2=\"94\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <path d=\"M 92,196 A 4,4 0,0,1 88,200\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 94,196 A 8,8 0,0,1 88,200\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 8,216 A 4,4 0,0,0 4,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"4\" y1=\"220\" x2=\"4\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <line x1=\"8\" y1=\"216\" x2=\"24\" y2=\"216\" class=\"solid\"></line>\n",
+       "        <path d=\"M 24,216 A 4,4 0,0,1 28,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"28\" y1=\"220\" x2=\"28\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <line x1=\"28\" y1=\"232\" x2=\"64\" y2=\"232\" class=\"broken\"></line>\n",
+       "        <path d=\"M 4,244 A 4,4 0,0,0 8,248\" class=\"nofill\"></path>\n",
+       "        <line x1=\"8\" y1=\"248\" x2=\"24\" y2=\"248\" class=\"solid\"></line>\n",
+       "        <path d=\"M 28,244 A 4,4 0,0,1 24,248\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 72,216 A 4,4 0,0,0 68,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"68\" y1=\"220\" x2=\"68\" y2=\"244\" class=\"broken\"></line>\n",
+       "        <line x1=\"72\" y1=\"216\" x2=\"88\" y2=\"216\" class=\"broken\"></line>\n",
+       "        <path d=\"M 88,216 A 4,4 0,0,1 92,220\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 88,216 A 8,8 0,0,1 94,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"92\" y1=\"220\" x2=\"92\" y2=\"244\" class=\"broken\"></line>\n",
+       "        <line x1=\"94\" y1=\"220\" x2=\"96\" y2=\"224\" class=\"solid\"></line>\n",
+       "        <path d=\"M 96,224 A 16,16 0,0,1 96,240\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 68,244 A 4,4 0,0,0 72,248\" class=\"nofill\"></path>\n",
+       "        <line x1=\"72\" y1=\"248\" x2=\"88\" y2=\"248\" class=\"broken\"></line>\n",
+       "        <line x1=\"96\" y1=\"240\" x2=\"94\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <path d=\"M 92,244 A 4,4 0,0,1 88,248\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 94,244 A 8,8 0,0,1 88,248\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 8,264 A 4,4 0,0,0 4,268\" class=\"nofill\"></path>\n",
+       "        <line x1=\"4\" y1=\"268\" x2=\"4\" y2=\"292\" class=\"solid\"></line>\n",
+       "        <line x1=\"8\" y1=\"264\" x2=\"24\" y2=\"264\" class=\"solid\"></line>\n",
+       "        <path d=\"M 24,264 A 4,4 0,0,1 28,268\" class=\"nofill\"></path>\n",
+       "        <line x1=\"28\" y1=\"268\" x2=\"28\" y2=\"292\" class=\"solid\"></line>\n",
+       "        <line x1=\"28\" y1=\"280\" x2=\"64\" y2=\"280\" class=\"broken\"></line>\n",
+       "        <path d=\"M 4,292 A 4,4 0,0,0 8,296\" class=\"nofill\"></path>\n",
+       "        <line x1=\"8\" y1=\"296\" x2=\"24\" y2=\"296\" class=\"solid\"></line>\n",
+       "        <path d=\"M 28,292 A 4,4 0,0,1 24,296\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 136,264 A 4,4 0,0,0 132,268\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"268\" x2=\"132\" y2=\"292\" class=\"solid\"></line>\n",
+       "        <line x1=\"136\" y1=\"264\" x2=\"152\" y2=\"264\" class=\"solid\"></line>\n",
+       "        <path d=\"M 152,264 A 4,4 0,0,1 156,268\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"268\" x2=\"156\" y2=\"292\" class=\"solid\"></line>\n",
+       "        <line x1=\"96\" y1=\"280\" x2=\"132\" y2=\"280\" class=\"solid\"></line>\n",
+       "        <path d=\"M 132,292 A 4,4 0,0,0 136,296\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"296\" x2=\"152\" y2=\"296\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,292 A 4,4 0,0,1 152,296\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 200,264 A 4,4 0,0,0 196,268\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"268\" x2=\"196\" y2=\"324\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"264\" x2=\"216\" y2=\"264\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,264 A 4,4 0,0,1 220,268\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"268\" x2=\"220\" y2=\"324\" class=\"solid\"></line>\n",
+       "        <line x1=\"156\" y1=\"280\" x2=\"196\" y2=\"280\" class=\"solid\"></line>\n",
+       "        <line x1=\"172\" y1=\"280\" x2=\"172\" y2=\"308\" class=\"solid\"></line>\n",
+       "        <line x1=\"172\" y1=\"296\" x2=\"196\" y2=\"296\" class=\"solid\"></line>\n",
+       "        <path d=\"M 172,308 A 4,4 0,0,0 176,312\" class=\"nofill\"></path>\n",
+       "        <line x1=\"176\" y1=\"312\" x2=\"196\" y2=\"312\" class=\"solid\"></line>\n",
+       "        <path d=\"M 196,324 A 4,4 0,0,0 200,328\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"328\" x2=\"216\" y2=\"328\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,324 A 4,4 0,0,1 216,328\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 8,312 A 4,4 0,0,0 4,316\" class=\"nofill\"></path>\n",
+       "        <line x1=\"4\" y1=\"316\" x2=\"4\" y2=\"340\" class=\"solid\"></line>\n",
+       "        <line x1=\"8\" y1=\"312\" x2=\"24\" y2=\"312\" class=\"solid\"></line>\n",
+       "        <path d=\"M 24,312 A 4,4 0,0,1 28,316\" class=\"nofill\"></path>\n",
+       "        <line x1=\"28\" y1=\"316\" x2=\"28\" y2=\"340\" class=\"solid\"></line>\n",
+       "        <line x1=\"28\" y1=\"328\" x2=\"64\" y2=\"328\" class=\"broken\"></line>\n",
+       "        <path d=\"M 4,340 A 4,4 0,0,0 8,344\" class=\"nofill\"></path>\n",
+       "        <line x1=\"8\" y1=\"344\" x2=\"24\" y2=\"344\" class=\"solid\"></line>\n",
+       "        <path d=\"M 28,340 A 4,4 0,0,1 24,344\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 72,312 A 4,4 0,0,0 68,316\" class=\"nofill\"></path>\n",
+       "        <line x1=\"68\" y1=\"316\" x2=\"68\" y2=\"340\" class=\"broken\"></line>\n",
+       "        <line x1=\"72\" y1=\"312\" x2=\"88\" y2=\"312\" class=\"broken\"></line>\n",
+       "        <path d=\"M 88,312 A 4,4 0,0,1 92,316\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 88,312 A 8,8 0,0,1 94,316\" class=\"nofill\"></path>\n",
+       "        <line x1=\"92\" y1=\"316\" x2=\"92\" y2=\"340\" class=\"broken\"></line>\n",
+       "        <line x1=\"94\" y1=\"316\" x2=\"96\" y2=\"320\" class=\"solid\"></line>\n",
+       "        <path d=\"M 96,320 A 16,16 0,0,1 96,336\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 68,340 A 4,4 0,0,0 72,344\" class=\"nofill\"></path>\n",
+       "        <line x1=\"72\" y1=\"344\" x2=\"88\" y2=\"344\" class=\"broken\"></line>\n",
+       "        <line x1=\"96\" y1=\"336\" x2=\"94\" y2=\"340\" class=\"solid\"></line>\n",
+       "        <path d=\"M 92,340 A 4,4 0,0,1 88,344\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 94,340 A 8,8 0,0,1 88,344\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "</svg>"
+      ],
+      "text/plain": [
+       ".---.   .~~~.   .---.   .---.\n",
+       "|i0 |p0 ┊i1 ┊p1 |i2 |p2 |i3 |\n",
+       "`---'   `~~~'   `---'   `---'\n",
+       "=============================\n",
+       ".--.  0 .~~.  0 .--.  0 .--.\n",
+       "|0 |~~~~┊0 ┊----|0 |-+--|1 |\n",
+       "`--'  1 `~~'  1 `--' `--|2 |\n",
+       ".--.    .~~.    .--.  2 |--|\n",
+       "|0 |~~~~┊1 ┊-+--|0 |-+--|0 |\n",
+       "`--'  2 `~~' |  `--' `--|2 |\n",
+       ".--.    .~~. |  .--.  4 |--|\n",
+       "|0 |~~~~┊2 ┊)`--|1 |----|0 |\n",
+       "`--'  3 `~~'  3 `--'  5 `--'\n",
+       ".--.    .~~.  3\n",
+       "|1 |~~~~┊0 ┊)\n",
+       "`--'  4 `~~'\n",
+       ".--.    .~~.  3 .--.    .--.\n",
+       "|1 |~~~~┊1 ┊----|1 |-+--|0 |\n",
+       "`--'  5 `~~'  4 `--' |--|1 |\n",
+       ".--.    .~~.         `--|2 |\n",
+       "|1 |~~~~┊2 ┊)         8 `--'\n",
+       "`--'  6 `~~'  4"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "text/markdown": [
+       "# S-DC-C-S"
+      ],
+      "text/plain": [
+       "<IPython.core.display.Markdown object>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "image/svg+xml": [
+       "<svg xmlns=\"http://www.w3.org/2000/svg\" width=\"240\" height=\"528\">\n",
+       "    <style>line, path, circle,rect,polygon {\n",
+       "                          stroke: black;\n",
+       "                          stroke-width: 2;\n",
+       "                          stroke-opacity: 1;\n",
+       "                          fill-opacity: 1;\n",
+       "                          stroke-linecap: round;\n",
+       "                          stroke-linejoin: miter;\n",
+       "                        }\n",
+       "\n",
+       "                    text {\n",
+       "                        /* This fix the spacing bug in svg text*/\n",
+       "                        white-space: pre;\n",
+       "                        fill: black;\n",
+       "                        }\n",
+       "                        rect.backdrop{\n",
+       "                            stroke: none;\n",
+       "                            fill: white;\n",
+       "                        }\n",
+       "                        .broken{\n",
+       "                            stroke-dasharray: 8;\n",
+       "                        }\n",
+       "                        .filled{\n",
+       "                            fill: black;\n",
+       "                        }\n",
+       "                        .bg_filled{\n",
+       "                            fill: white;\n",
+       "                        }\n",
+       "                        .nofill{\n",
+       "                            fill: white;\n",
+       "                        }\n",
+       "\n",
+       "                        text {\n",
+       "                         font-family: monospace;\n",
+       "                         font-size: 14px;\n",
+       "                        }\n",
+       "\n",
+       "                        .end_marked_arrow{\n",
+       "                            marker-end: url(#arrow);\n",
+       "                         }\n",
+       "                        .start_marked_arrow{\n",
+       "                            marker-start: url(#arrow);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_diamond{\n",
+       "                            marker-end: url(#diamond);\n",
+       "                         }\n",
+       "                        .start_marked_diamond{\n",
+       "                            marker-start: url(#diamond);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_circle{\n",
+       "                            marker-end: url(#circle);\n",
+       "                         }\n",
+       "                        .start_marked_circle{\n",
+       "                            marker-start: url(#circle);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_open_circle{\n",
+       "                            marker-end: url(#open_circle);\n",
+       "                         }\n",
+       "                        .start_marked_open_circle{\n",
+       "                            marker-start: url(#open_circle);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_big_open_circle{\n",
+       "                            marker-end: url(#big_open_circle);\n",
+       "                         }\n",
+       "                        .start_marked_big_open_circle{\n",
+       "                            marker-start: url(#big_open_circle);\n",
+       "                         }\n",
+       "\n",
+       "                         \n",
+       "                        </style>\n",
+       "    <defs>\n",
+       "        <marker id=\"arrow\" viewBox=\"-2 -2 8 8\" refX=\"4\" refY=\"2\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <polygon points=\"0,0 0,4 4,2 0,0\"></polygon>\n",
+       "        </marker>\n",
+       "        <marker id=\"diamond\" viewBox=\"-2 -2 8 8\" refX=\"4\" refY=\"2\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <polygon points=\"0,2 2,0 4,2 2,4 0,2\"></polygon>\n",
+       "        </marker>\n",
+       "        <marker id=\"circle\" viewBox=\"0 0 8 8\" refX=\"4\" refY=\"4\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <circle cx=\"4\" cy=\"4\" r=\"2\" class=\"filled\"></circle>\n",
+       "        </marker>\n",
+       "        <marker id=\"open_circle\" viewBox=\"0 0 8 8\" refX=\"4\" refY=\"4\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <circle cx=\"4\" cy=\"4\" r=\"2\" class=\"bg_filled\"></circle>\n",
+       "        </marker>\n",
+       "        <marker id=\"big_open_circle\" viewBox=\"0 0 8 8\" refX=\"4\" refY=\"4\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <circle cx=\"4\" cy=\"4\" r=\"3\" class=\"bg_filled\"></circle>\n",
+       "        </marker>\n",
+       "    </defs>\n",
+       "    <rect x=\"4\" y=\"8\" width=\"32\" height=\"32\" class=\"solid nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"10\" y=\"28\" >i0</text>\n",
+       "    <rect x=\"68\" y=\"8\" width=\"32\" height=\"32\" class=\"solid nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"74\" y=\"28\" >i1</text>\n",
+       "    <rect x=\"132\" y=\"8\" width=\"32\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"138\" y=\"28\" >i2</text>\n",
+       "    <rect x=\"196\" y=\"8\" width=\"32\" height=\"32\" class=\"solid nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"202\" y=\"28\" >i3</text>\n",
+       "    <rect x=\"132\" y=\"72\" width=\"24\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"138\" y=\"92\" >0</text>\n",
+       "    <rect x=\"132\" y=\"216\" width=\"24\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"138\" y=\"236\" >0</text>\n",
+       "    <rect x=\"132\" y=\"264\" width=\"24\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"138\" y=\"284\" >1</text>\n",
+       "    <rect x=\"132\" y=\"408\" width=\"24\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"138\" y=\"428\" >1</text>\n",
+       "    <text x=\"42\" y=\"28\" >p0</text>\n",
+       "    <text x=\"106\" y=\"28\" >p1</text>\n",
+       "    <text x=\"170\" y=\"28\" >p2</text>\n",
+       "    <line x1=\"0\" y1=\"54\" x2=\"232\" y2=\"54\" class=\"solid\"></line>\n",
+       "    <line x1=\"0\" y1=\"58\" x2=\"232\" y2=\"58\" class=\"solid\"></line>\n",
+       "    <text x=\"50\" y=\"76\" >0</text>\n",
+       "    <text x=\"114\" y=\"76\" >0</text>\n",
+       "    <text x=\"178\" y=\"76\" >0</text>\n",
+       "    <text x=\"10\" y=\"92\" >0</text>\n",
+       "    <text x=\"74\" y=\"92\" >0</text>\n",
+       "    <text x=\"202\" y=\"92\" >1</text>\n",
+       "    <text x=\"50\" y=\"108\" >1</text>\n",
+       "    <text x=\"202\" y=\"108\" >2</text>\n",
+       "    <text x=\"178\" y=\"124\" >2</text>\n",
+       "    <line x1=\"112\" y1=\"136\" x2=\"128\" y2=\"136\" class=\"broken\"></line>\n",
+       "    <text x=\"138\" y=\"140\" >1</text>\n",
+       "    <text x=\"138\" y=\"188\" >2</text>\n",
+       "    <text x=\"114\" y=\"204\" >3</text>\n",
+       "    <text x=\"178\" y=\"220\" >2</text>\n",
+       "    <text x=\"10\" y=\"236\" >0</text>\n",
+       "    <text x=\"74\" y=\"236\" >1</text>\n",
+       "    <text x=\"202\" y=\"236\" >0</text>\n",
+       "    <text x=\"50\" y=\"252\" >2</text>\n",
+       "    <text x=\"202\" y=\"252\" >2</text>\n",
+       "    <text x=\"178\" y=\"268\" >4</text>\n",
+       "    <line x1=\"112\" y1=\"280\" x2=\"128\" y2=\"280\" class=\"broken\"></line>\n",
+       "    <text x=\"202\" y=\"284\" >0</text>\n",
+       "    <text x=\"178\" y=\"300\" >5</text>\n",
+       "    <text x=\"138\" y=\"332\" >2</text>\n",
+       "    <text x=\"114\" y=\"348\" >6</text>\n",
+       "    <text x=\"10\" y=\"380\" >1</text>\n",
+       "    <text x=\"74\" y=\"380\" >1</text>\n",
+       "    <text x=\"138\" y=\"380\" >0</text>\n",
+       "    <text x=\"50\" y=\"396\" >3</text>\n",
+       "    <text x=\"178\" y=\"412\" >5</text>\n",
+       "    <line x1=\"112\" y1=\"424\" x2=\"128\" y2=\"424\" class=\"broken\"></line>\n",
+       "    <text x=\"202\" y=\"428\" >0</text>\n",
+       "    <text x=\"202\" y=\"444\" >1</text>\n",
+       "    <text x=\"202\" y=\"460\" >2</text>\n",
+       "    <text x=\"178\" y=\"476\" >8</text>\n",
+       "    <text x=\"138\" y=\"492\" >2</text>\n",
+       "    <text x=\"114\" y=\"508\" >9</text>\n",
+       "    <text x=\"178\" y=\"172\" >2</text>\n",
+       "    <text x=\"178\" y=\"364\" >5</text>\n",
+       "    <text x=\"178\" y=\"508\" >8</text>\n",
+       "    <g>\n",
+       "        <path d=\"M 8,72 A 4,4 0,0,0 4,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"4\" y1=\"76\" x2=\"4\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"8\" y1=\"72\" x2=\"24\" y2=\"72\" class=\"solid\"></line>\n",
+       "        <path d=\"M 24,72 A 4,4 0,0,1 28,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"28\" y1=\"76\" x2=\"28\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <path d=\"M 4,100 A 4,4 0,0,0 8,104\" class=\"nofill\"></path>\n",
+       "        <line x1=\"8\" y1=\"104\" x2=\"24\" y2=\"104\" class=\"solid\"></line>\n",
+       "        <path d=\"M 28,100 A 4,4 0,0,1 24,104\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 72,72 A 4,4 0,0,0 68,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"68\" y1=\"76\" x2=\"68\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"72\" y1=\"72\" x2=\"88\" y2=\"72\" class=\"solid\"></line>\n",
+       "        <path d=\"M 88,72 A 4,4 0,0,1 92,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"92\" y1=\"76\" x2=\"92\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"28\" y1=\"88\" x2=\"68\" y2=\"88\" class=\"broken\"></line>\n",
+       "        <line x1=\"92\" y1=\"88\" x2=\"128\" y2=\"88\" class=\"broken\"></line>\n",
+       "        <line x1=\"108\" y1=\"88\" x2=\"108\" y2=\"180\" class=\"broken\"></line>\n",
+       "        <path d=\"M 68,100 A 4,4 0,0,0 72,104\" class=\"nofill\"></path>\n",
+       "        <line x1=\"72\" y1=\"104\" x2=\"88\" y2=\"104\" class=\"solid\"></line>\n",
+       "        <path d=\"M 92,100 A 4,4 0,0,1 88,104\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 108,180 A 4,4 0,0,0 112,184\" class=\"nofill\"></path>\n",
+       "        <line x1=\"112\" y1=\"184\" x2=\"128\" y2=\"184\" class=\"broken\"></line>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 200,72 A 4,4 0,0,0 196,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"76\" x2=\"196\" y2=\"116\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"72\" x2=\"216\" y2=\"72\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,72 A 4,4 0,0,1 220,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"76\" x2=\"220\" y2=\"116\" class=\"solid\"></line>\n",
+       "        <line x1=\"160\" y1=\"88\" x2=\"196\" y2=\"88\" class=\"solid\"></line>\n",
+       "        <line x1=\"172\" y1=\"88\" x2=\"172\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <path d=\"M 172,100 A 4,4 0,0,0 176,104\" class=\"nofill\"></path>\n",
+       "        <line x1=\"176\" y1=\"104\" x2=\"196\" y2=\"104\" class=\"solid\"></line>\n",
+       "        <path d=\"M 196,116 A 4,4 0,0,0 200,120\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"120\" x2=\"216\" y2=\"120\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,116 A 4,4 0,0,1 216,120\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 136,120 A 4,4 0,0,0 132,124\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"124\" x2=\"132\" y2=\"148\" class=\"broken\"></line>\n",
+       "        <line x1=\"136\" y1=\"120\" x2=\"152\" y2=\"120\" class=\"broken\"></line>\n",
+       "        <path d=\"M 152,120 A 4,4 0,0,1 156,124\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 152,120 A 8,8 0,0,1 158,124\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"124\" x2=\"156\" y2=\"148\" class=\"broken\"></line>\n",
+       "        <line x1=\"158\" y1=\"124\" x2=\"160\" y2=\"128\" class=\"solid\"></line>\n",
+       "        <path d=\"M 160,128 A 16,16 0,0,1 160,144\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 132,148 A 4,4 0,0,0 136,152\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"152\" x2=\"152\" y2=\"152\" class=\"broken\"></line>\n",
+       "        <line x1=\"160\" y1=\"144\" x2=\"158\" y2=\"148\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,148 A 4,4 0,0,1 152,152\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 158,148 A 8,8 0,0,1 152,152\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 136,168 A 4,4 0,0,0 132,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"172\" x2=\"132\" y2=\"196\" class=\"broken\"></line>\n",
+       "        <line x1=\"136\" y1=\"168\" x2=\"152\" y2=\"168\" class=\"broken\"></line>\n",
+       "        <path d=\"M 152,168 A 4,4 0,0,1 156,172\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 152,168 A 8,8 0,0,1 158,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"172\" x2=\"156\" y2=\"196\" class=\"broken\"></line>\n",
+       "        <line x1=\"158\" y1=\"172\" x2=\"160\" y2=\"176\" class=\"solid\"></line>\n",
+       "        <path d=\"M 160,176 A 16,16 0,0,1 160,192\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 132,196 A 4,4 0,0,0 136,200\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"200\" x2=\"152\" y2=\"200\" class=\"broken\"></line>\n",
+       "        <line x1=\"160\" y1=\"192\" x2=\"158\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,196 A 4,4 0,0,1 152,200\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 158,196 A 8,8 0,0,1 152,200\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 8,216 A 4,4 0,0,0 4,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"4\" y1=\"220\" x2=\"4\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <line x1=\"8\" y1=\"216\" x2=\"24\" y2=\"216\" class=\"solid\"></line>\n",
+       "        <path d=\"M 24,216 A 4,4 0,0,1 28,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"28\" y1=\"220\" x2=\"28\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <path d=\"M 4,244 A 4,4 0,0,0 8,248\" class=\"nofill\"></path>\n",
+       "        <line x1=\"8\" y1=\"248\" x2=\"24\" y2=\"248\" class=\"solid\"></line>\n",
+       "        <path d=\"M 28,244 A 4,4 0,0,1 24,248\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 72,216 A 4,4 0,0,0 68,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"68\" y1=\"220\" x2=\"68\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <line x1=\"72\" y1=\"216\" x2=\"88\" y2=\"216\" class=\"solid\"></line>\n",
+       "        <path d=\"M 88,216 A 4,4 0,0,1 92,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"92\" y1=\"220\" x2=\"92\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <line x1=\"28\" y1=\"232\" x2=\"68\" y2=\"232\" class=\"broken\"></line>\n",
+       "        <line x1=\"92\" y1=\"232\" x2=\"128\" y2=\"232\" class=\"broken\"></line>\n",
+       "        <line x1=\"108\" y1=\"232\" x2=\"108\" y2=\"324\" class=\"broken\"></line>\n",
+       "        <path d=\"M 68,244 A 4,4 0,0,0 72,248\" class=\"nofill\"></path>\n",
+       "        <line x1=\"72\" y1=\"248\" x2=\"88\" y2=\"248\" class=\"solid\"></line>\n",
+       "        <path d=\"M 92,244 A 4,4 0,0,1 88,248\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 108,324 A 4,4 0,0,0 112,328\" class=\"nofill\"></path>\n",
+       "        <line x1=\"112\" y1=\"328\" x2=\"128\" y2=\"328\" class=\"broken\"></line>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 200,216 A 4,4 0,0,0 196,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"220\" x2=\"196\" y2=\"292\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"216\" x2=\"216\" y2=\"216\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,216 A 4,4 0,0,1 220,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"220\" x2=\"220\" y2=\"292\" class=\"solid\"></line>\n",
+       "        <line x1=\"160\" y1=\"232\" x2=\"196\" y2=\"232\" class=\"solid\"></line>\n",
+       "        <line x1=\"172\" y1=\"232\" x2=\"172\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <path d=\"M 172,244 A 4,4 0,0,0 176,248\" class=\"nofill\"></path>\n",
+       "        <line x1=\"176\" y1=\"248\" x2=\"196\" y2=\"248\" class=\"solid\"></line>\n",
+       "        <line x1=\"196\" y1=\"264\" x2=\"220\" y2=\"264\" class=\"solid\"></line>\n",
+       "        <line x1=\"160\" y1=\"280\" x2=\"196\" y2=\"280\" class=\"solid\"></line>\n",
+       "        <path d=\"M 196,292 A 4,4 0,0,0 200,296\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"296\" x2=\"216\" y2=\"296\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,292 A 4,4 0,0,1 216,296\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 136,312 A 4,4 0,0,0 132,316\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"316\" x2=\"132\" y2=\"340\" class=\"broken\"></line>\n",
+       "        <line x1=\"136\" y1=\"312\" x2=\"152\" y2=\"312\" class=\"broken\"></line>\n",
+       "        <path d=\"M 152,312 A 4,4 0,0,1 156,316\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 152,312 A 8,8 0,0,1 158,316\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"316\" x2=\"156\" y2=\"340\" class=\"broken\"></line>\n",
+       "        <line x1=\"158\" y1=\"316\" x2=\"160\" y2=\"320\" class=\"solid\"></line>\n",
+       "        <path d=\"M 160,320 A 16,16 0,0,1 160,336\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 132,340 A 4,4 0,0,0 136,344\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"344\" x2=\"152\" y2=\"344\" class=\"broken\"></line>\n",
+       "        <line x1=\"160\" y1=\"336\" x2=\"158\" y2=\"340\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,340 A 4,4 0,0,1 152,344\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 158,340 A 8,8 0,0,1 152,344\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 8,360 A 4,4 0,0,0 4,364\" class=\"nofill\"></path>\n",
+       "        <line x1=\"4\" y1=\"364\" x2=\"4\" y2=\"388\" class=\"solid\"></line>\n",
+       "        <line x1=\"8\" y1=\"360\" x2=\"24\" y2=\"360\" class=\"solid\"></line>\n",
+       "        <path d=\"M 24,360 A 4,4 0,0,1 28,364\" class=\"nofill\"></path>\n",
+       "        <line x1=\"28\" y1=\"364\" x2=\"28\" y2=\"388\" class=\"solid\"></line>\n",
+       "        <path d=\"M 4,388 A 4,4 0,0,0 8,392\" class=\"nofill\"></path>\n",
+       "        <line x1=\"8\" y1=\"392\" x2=\"24\" y2=\"392\" class=\"solid\"></line>\n",
+       "        <path d=\"M 28,388 A 4,4 0,0,1 24,392\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 72,360 A 4,4 0,0,0 68,364\" class=\"nofill\"></path>\n",
+       "        <line x1=\"68\" y1=\"364\" x2=\"68\" y2=\"388\" class=\"solid\"></line>\n",
+       "        <line x1=\"72\" y1=\"360\" x2=\"88\" y2=\"360\" class=\"solid\"></line>\n",
+       "        <path d=\"M 88,360 A 4,4 0,0,1 92,364\" class=\"nofill\"></path>\n",
+       "        <line x1=\"92\" y1=\"364\" x2=\"92\" y2=\"388\" class=\"solid\"></line>\n",
+       "        <line x1=\"28\" y1=\"376\" x2=\"68\" y2=\"376\" class=\"broken\"></line>\n",
+       "        <line x1=\"92\" y1=\"376\" x2=\"128\" y2=\"376\" class=\"broken\"></line>\n",
+       "        <line x1=\"108\" y1=\"376\" x2=\"108\" y2=\"484\" class=\"broken\"></line>\n",
+       "        <path d=\"M 68,388 A 4,4 0,0,0 72,392\" class=\"nofill\"></path>\n",
+       "        <line x1=\"72\" y1=\"392\" x2=\"88\" y2=\"392\" class=\"solid\"></line>\n",
+       "        <path d=\"M 92,388 A 4,4 0,0,1 88,392\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 108,484 A 4,4 0,0,0 112,488\" class=\"nofill\"></path>\n",
+       "        <line x1=\"112\" y1=\"488\" x2=\"128\" y2=\"488\" class=\"broken\"></line>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 136,360 A 4,4 0,0,0 132,364\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"364\" x2=\"132\" y2=\"388\" class=\"broken\"></line>\n",
+       "        <line x1=\"136\" y1=\"360\" x2=\"152\" y2=\"360\" class=\"broken\"></line>\n",
+       "        <path d=\"M 152,360 A 4,4 0,0,1 156,364\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 152,360 A 8,8 0,0,1 158,364\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"364\" x2=\"156\" y2=\"388\" class=\"broken\"></line>\n",
+       "        <line x1=\"158\" y1=\"364\" x2=\"160\" y2=\"368\" class=\"solid\"></line>\n",
+       "        <path d=\"M 160,368 A 16,16 0,0,1 160,384\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 132,388 A 4,4 0,0,0 136,392\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"392\" x2=\"152\" y2=\"392\" class=\"broken\"></line>\n",
+       "        <line x1=\"160\" y1=\"384\" x2=\"158\" y2=\"388\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,388 A 4,4 0,0,1 152,392\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 158,388 A 8,8 0,0,1 152,392\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 200,408 A 4,4 0,0,0 196,412\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"412\" x2=\"196\" y2=\"468\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"408\" x2=\"216\" y2=\"408\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,408 A 4,4 0,0,1 220,412\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"412\" x2=\"220\" y2=\"468\" class=\"solid\"></line>\n",
+       "        <line x1=\"160\" y1=\"424\" x2=\"196\" y2=\"424\" class=\"solid\"></line>\n",
+       "        <line x1=\"172\" y1=\"424\" x2=\"172\" y2=\"452\" class=\"solid\"></line>\n",
+       "        <line x1=\"172\" y1=\"440\" x2=\"196\" y2=\"440\" class=\"solid\"></line>\n",
+       "        <path d=\"M 172,452 A 4,4 0,0,0 176,456\" class=\"nofill\"></path>\n",
+       "        <line x1=\"176\" y1=\"456\" x2=\"196\" y2=\"456\" class=\"solid\"></line>\n",
+       "        <path d=\"M 196,468 A 4,4 0,0,0 200,472\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"472\" x2=\"216\" y2=\"472\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,468 A 4,4 0,0,1 216,472\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 136,472 A 4,4 0,0,0 132,476\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"476\" x2=\"132\" y2=\"500\" class=\"broken\"></line>\n",
+       "        <line x1=\"136\" y1=\"472\" x2=\"152\" y2=\"472\" class=\"broken\"></line>\n",
+       "        <path d=\"M 152,472 A 4,4 0,0,1 156,476\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 152,472 A 8,8 0,0,1 158,476\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"476\" x2=\"156\" y2=\"500\" class=\"broken\"></line>\n",
+       "        <line x1=\"158\" y1=\"476\" x2=\"160\" y2=\"480\" class=\"solid\"></line>\n",
+       "        <path d=\"M 160,480 A 16,16 0,0,1 160,496\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 132,500 A 4,4 0,0,0 136,504\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"504\" x2=\"152\" y2=\"504\" class=\"broken\"></line>\n",
+       "        <line x1=\"160\" y1=\"496\" x2=\"158\" y2=\"500\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,500 A 4,4 0,0,1 152,504\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 158,500 A 8,8 0,0,1 152,504\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "</svg>"
+      ],
+      "text/plain": [
+       ".---.   .---.   .~~~.   .---.\n",
+       "|i0 |p0 |i1 |p1 ┊i2 ┊p2 |i3 |\n",
+       "`---'   `---'   `~~~'   `---'\n",
+       "=============================\n",
+       ".--.  0 .--.  0 .~~.  0 .--.\n",
+       "|0 |~~~~|0 |~+~~┊0 ┊-+--|1 |\n",
+       "`--'  1 `--' ┊  `~~' `--|2 |\n",
+       "             ┊  .~~.  2 `--'\n",
+       "             ┊~~┊1 ┊)\n",
+       "             ┊  `~~'\n",
+       "             ┊  .~~.  2\n",
+       "             `~~┊2 ┊)\n",
+       "              3 `~~'\n",
+       ".--.    .--.    .~~.  2 .--.\n",
+       "|0 |~~~~|1 |~+~~┊0 ┊-+--|0 |\n",
+       "`--'  2 `--' ┊  `~~' `--|2 |\n",
+       "             ┊  .~~.  4 |--|\n",
+       "             ┊~~┊1 ┊----|0 |\n",
+       "             ┊  `~~'  5 `--'\n",
+       "             ┊  .~~.\n",
+       "             `~~┊2 ┊)\n",
+       "              6 `~~'\n",
+       ".--.    .--.    .~~.  5\n",
+       "|1 |~~~~|1 |~+~~┊0 ┊)\n",
+       "`--'  3 `--' ┊  `~~'\n",
+       "             ┊  .~~.  5 .--.\n",
+       "             ┊~~┊1 ┊-+--|0 |\n",
+       "             ┊  `~~' |--|1 |\n",
+       "             ┊       `--|2 |\n",
+       "             ┊  .~~.  8 `--'\n",
+       "             `~~┊2 ┊)\n",
+       "              9 `~~'  8"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "text/markdown": [
+       "# C-S-S-S"
+      ],
+      "text/plain": [
+       "<IPython.core.display.Markdown object>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "image/svg+xml": [
+       "<svg xmlns=\"http://www.w3.org/2000/svg\" width=\"240\" height=\"464\">\n",
+       "    <style>line, path, circle,rect,polygon {\n",
+       "                          stroke: black;\n",
+       "                          stroke-width: 2;\n",
+       "                          stroke-opacity: 1;\n",
+       "                          fill-opacity: 1;\n",
+       "                          stroke-linecap: round;\n",
+       "                          stroke-linejoin: miter;\n",
+       "                        }\n",
+       "\n",
+       "                    text {\n",
+       "                        /* This fix the spacing bug in svg text*/\n",
+       "                        white-space: pre;\n",
+       "                        fill: black;\n",
+       "                        }\n",
+       "                        rect.backdrop{\n",
+       "                            stroke: none;\n",
+       "                            fill: white;\n",
+       "                        }\n",
+       "                        .broken{\n",
+       "                            stroke-dasharray: 8;\n",
+       "                        }\n",
+       "                        .filled{\n",
+       "                            fill: black;\n",
+       "                        }\n",
+       "                        .bg_filled{\n",
+       "                            fill: white;\n",
+       "                        }\n",
+       "                        .nofill{\n",
+       "                            fill: white;\n",
+       "                        }\n",
+       "\n",
+       "                        text {\n",
+       "                         font-family: monospace;\n",
+       "                         font-size: 14px;\n",
+       "                        }\n",
+       "\n",
+       "                        .end_marked_arrow{\n",
+       "                            marker-end: url(#arrow);\n",
+       "                         }\n",
+       "                        .start_marked_arrow{\n",
+       "                            marker-start: url(#arrow);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_diamond{\n",
+       "                            marker-end: url(#diamond);\n",
+       "                         }\n",
+       "                        .start_marked_diamond{\n",
+       "                            marker-start: url(#diamond);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_circle{\n",
+       "                            marker-end: url(#circle);\n",
+       "                         }\n",
+       "                        .start_marked_circle{\n",
+       "                            marker-start: url(#circle);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_open_circle{\n",
+       "                            marker-end: url(#open_circle);\n",
+       "                         }\n",
+       "                        .start_marked_open_circle{\n",
+       "                            marker-start: url(#open_circle);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_big_open_circle{\n",
+       "                            marker-end: url(#big_open_circle);\n",
+       "                         }\n",
+       "                        .start_marked_big_open_circle{\n",
+       "                            marker-start: url(#big_open_circle);\n",
+       "                         }\n",
+       "\n",
+       "                         \n",
+       "                        </style>\n",
+       "    <defs>\n",
+       "        <marker id=\"arrow\" viewBox=\"-2 -2 8 8\" refX=\"4\" refY=\"2\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <polygon points=\"0,0 0,4 4,2 0,0\"></polygon>\n",
+       "        </marker>\n",
+       "        <marker id=\"diamond\" viewBox=\"-2 -2 8 8\" refX=\"4\" refY=\"2\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <polygon points=\"0,2 2,0 4,2 2,4 0,2\"></polygon>\n",
+       "        </marker>\n",
+       "        <marker id=\"circle\" viewBox=\"0 0 8 8\" refX=\"4\" refY=\"4\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <circle cx=\"4\" cy=\"4\" r=\"2\" class=\"filled\"></circle>\n",
+       "        </marker>\n",
+       "        <marker id=\"open_circle\" viewBox=\"0 0 8 8\" refX=\"4\" refY=\"4\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <circle cx=\"4\" cy=\"4\" r=\"2\" class=\"bg_filled\"></circle>\n",
+       "        </marker>\n",
+       "        <marker id=\"big_open_circle\" viewBox=\"0 0 8 8\" refX=\"4\" refY=\"4\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <circle cx=\"4\" cy=\"4\" r=\"3\" class=\"bg_filled\"></circle>\n",
+       "        </marker>\n",
+       "    </defs>\n",
+       "    <rect x=\"4\" y=\"8\" width=\"32\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"10\" y=\"28\" >i0</text>\n",
+       "    <rect x=\"68\" y=\"8\" width=\"32\" height=\"32\" class=\"solid nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"74\" y=\"28\" >i1</text>\n",
+       "    <rect x=\"132\" y=\"8\" width=\"32\" height=\"32\" class=\"solid nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"138\" y=\"28\" >i2</text>\n",
+       "    <rect x=\"196\" y=\"8\" width=\"32\" height=\"32\" class=\"solid nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"202\" y=\"28\" >i3</text>\n",
+       "    <rect x=\"4\" y=\"72\" width=\"24\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"10\" y=\"92\" >0</text>\n",
+       "    <rect x=\"4\" y=\"312\" width=\"24\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"10\" y=\"332\" >1</text>\n",
+       "    <text x=\"42\" y=\"28\" >p0</text>\n",
+       "    <text x=\"106\" y=\"28\" >p1</text>\n",
+       "    <text x=\"170\" y=\"28\" >p2</text>\n",
+       "    <line x1=\"0\" y1=\"54\" x2=\"232\" y2=\"54\" class=\"solid\"></line>\n",
+       "    <line x1=\"0\" y1=\"58\" x2=\"232\" y2=\"58\" class=\"solid\"></line>\n",
+       "    <text x=\"50\" y=\"76\" >0</text>\n",
+       "    <text x=\"114\" y=\"76\" >0</text>\n",
+       "    <text x=\"178\" y=\"76\" >0</text>\n",
+       "    <text x=\"74\" y=\"92\" >0</text>\n",
+       "    <text x=\"138\" y=\"92\" >0</text>\n",
+       "    <text x=\"202\" y=\"92\" >1</text>\n",
+       "    <text x=\"114\" y=\"108\" >1</text>\n",
+       "    <text x=\"178\" y=\"108\" >1</text>\n",
+       "    <text x=\"74\" y=\"140\" >0</text>\n",
+       "    <text x=\"138\" y=\"140\" >0</text>\n",
+       "    <text x=\"202\" y=\"140\" >2</text>\n",
+       "    <text x=\"114\" y=\"156\" >2</text>\n",
+       "    <text x=\"178\" y=\"156\" >2</text>\n",
+       "    <text x=\"74\" y=\"188\" >1</text>\n",
+       "    <text x=\"138\" y=\"188\" >0</text>\n",
+       "    <text x=\"202\" y=\"188\" >0</text>\n",
+       "    <text x=\"114\" y=\"204\" >3</text>\n",
+       "    <text x=\"178\" y=\"204\" >3</text>\n",
+       "    <text x=\"74\" y=\"236\" >1</text>\n",
+       "    <text x=\"138\" y=\"236\" >0</text>\n",
+       "    <text x=\"202\" y=\"236\" >2</text>\n",
+       "    <text x=\"114\" y=\"252\" >4</text>\n",
+       "    <text x=\"178\" y=\"252\" >4</text>\n",
+       "    <text x=\"74\" y=\"284\" >1</text>\n",
+       "    <text x=\"138\" y=\"284\" >1</text>\n",
+       "    <text x=\"202\" y=\"284\" >0</text>\n",
+       "    <text x=\"50\" y=\"300\" >5</text>\n",
+       "    <text x=\"114\" y=\"300\" >5</text>\n",
+       "    <text x=\"178\" y=\"300\" >5</text>\n",
+       "    <text x=\"74\" y=\"332\" >1</text>\n",
+       "    <text x=\"138\" y=\"332\" >1</text>\n",
+       "    <text x=\"202\" y=\"332\" >0</text>\n",
+       "    <text x=\"114\" y=\"348\" >6</text>\n",
+       "    <text x=\"178\" y=\"348\" >6</text>\n",
+       "    <text x=\"10\" y=\"380\" >2</text>\n",
+       "    <text x=\"74\" y=\"380\" >1</text>\n",
+       "    <text x=\"138\" y=\"380\" >1</text>\n",
+       "    <text x=\"202\" y=\"380\" >1</text>\n",
+       "    <text x=\"114\" y=\"396\" >7</text>\n",
+       "    <text x=\"178\" y=\"396\" >7</text>\n",
+       "    <text x=\"74\" y=\"428\" >1</text>\n",
+       "    <text x=\"138\" y=\"428\" >1</text>\n",
+       "    <text x=\"202\" y=\"428\" >2</text>\n",
+       "    <text x=\"50\" y=\"444\" >8</text>\n",
+       "    <text x=\"114\" y=\"444\" >8</text>\n",
+       "    <text x=\"178\" y=\"444\" >8</text>\n",
+       "    <g>\n",
+       "        <path d=\"M 72,72 A 4,4 0,0,0 68,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"68\" y1=\"76\" x2=\"68\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"72\" y1=\"72\" x2=\"88\" y2=\"72\" class=\"solid\"></line>\n",
+       "        <path d=\"M 88,72 A 4,4 0,0,1 92,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"92\" y1=\"76\" x2=\"92\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"32\" y1=\"88\" x2=\"68\" y2=\"88\" class=\"solid\"></line>\n",
+       "        <line x1=\"44\" y1=\"88\" x2=\"44\" y2=\"276\" class=\"solid\"></line>\n",
+       "        <path d=\"M 68,100 A 4,4 0,0,0 72,104\" class=\"nofill\"></path>\n",
+       "        <line x1=\"72\" y1=\"104\" x2=\"88\" y2=\"104\" class=\"solid\"></line>\n",
+       "        <path d=\"M 92,100 A 4,4 0,0,1 88,104\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 44,276 A 4,4 0,0,0 48,280\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 136,72 A 4,4 0,0,0 132,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"76\" x2=\"132\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"136\" y1=\"72\" x2=\"152\" y2=\"72\" class=\"solid\"></line>\n",
+       "        <path d=\"M 152,72 A 4,4 0,0,1 156,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"76\" x2=\"156\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"92\" y1=\"88\" x2=\"132\" y2=\"88\" class=\"broken\"></line>\n",
+       "        <path d=\"M 132,100 A 4,4 0,0,0 136,104\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"104\" x2=\"152\" y2=\"104\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,100 A 4,4 0,0,1 152,104\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 200,72 A 4,4 0,0,0 196,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"76\" x2=\"196\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"72\" x2=\"216\" y2=\"72\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,72 A 4,4 0,0,1 220,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"76\" x2=\"220\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"156\" y1=\"88\" x2=\"196\" y2=\"88\" class=\"broken\"></line>\n",
+       "        <path d=\"M 196,100 A 4,4 0,0,0 200,104\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"104\" x2=\"216\" y2=\"104\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,100 A 4,4 0,0,1 216,104\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 72,120 A 4,4 0,0,0 68,124\" class=\"nofill\"></path>\n",
+       "        <line x1=\"68\" y1=\"124\" x2=\"68\" y2=\"148\" class=\"solid\"></line>\n",
+       "        <line x1=\"72\" y1=\"120\" x2=\"88\" y2=\"120\" class=\"solid\"></line>\n",
+       "        <path d=\"M 88,120 A 4,4 0,0,1 92,124\" class=\"nofill\"></path>\n",
+       "        <line x1=\"92\" y1=\"124\" x2=\"92\" y2=\"148\" class=\"solid\"></line>\n",
+       "        <line x1=\"44\" y1=\"136\" x2=\"68\" y2=\"136\" class=\"solid\"></line>\n",
+       "        <path d=\"M 68,148 A 4,4 0,0,0 72,152\" class=\"nofill\"></path>\n",
+       "        <line x1=\"72\" y1=\"152\" x2=\"88\" y2=\"152\" class=\"solid\"></line>\n",
+       "        <path d=\"M 92,148 A 4,4 0,0,1 88,152\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 136,120 A 4,4 0,0,0 132,124\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"124\" x2=\"132\" y2=\"148\" class=\"solid\"></line>\n",
+       "        <line x1=\"136\" y1=\"120\" x2=\"152\" y2=\"120\" class=\"solid\"></line>\n",
+       "        <path d=\"M 152,120 A 4,4 0,0,1 156,124\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"124\" x2=\"156\" y2=\"148\" class=\"solid\"></line>\n",
+       "        <line x1=\"92\" y1=\"136\" x2=\"132\" y2=\"136\" class=\"broken\"></line>\n",
+       "        <path d=\"M 132,148 A 4,4 0,0,0 136,152\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"152\" x2=\"152\" y2=\"152\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,148 A 4,4 0,0,1 152,152\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 200,120 A 4,4 0,0,0 196,124\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"124\" x2=\"196\" y2=\"148\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"120\" x2=\"216\" y2=\"120\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,120 A 4,4 0,0,1 220,124\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"124\" x2=\"220\" y2=\"148\" class=\"solid\"></line>\n",
+       "        <line x1=\"156\" y1=\"136\" x2=\"196\" y2=\"136\" class=\"broken\"></line>\n",
+       "        <path d=\"M 196,148 A 4,4 0,0,0 200,152\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"152\" x2=\"216\" y2=\"152\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,148 A 4,4 0,0,1 216,152\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 72,168 A 4,4 0,0,0 68,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"68\" y1=\"172\" x2=\"68\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <line x1=\"72\" y1=\"168\" x2=\"88\" y2=\"168\" class=\"solid\"></line>\n",
+       "        <path d=\"M 88,168 A 4,4 0,0,1 92,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"92\" y1=\"172\" x2=\"92\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <line x1=\"44\" y1=\"184\" x2=\"68\" y2=\"184\" class=\"solid\"></line>\n",
+       "        <path d=\"M 68,196 A 4,4 0,0,0 72,200\" class=\"nofill\"></path>\n",
+       "        <line x1=\"72\" y1=\"200\" x2=\"88\" y2=\"200\" class=\"solid\"></line>\n",
+       "        <path d=\"M 92,196 A 4,4 0,0,1 88,200\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 136,168 A 4,4 0,0,0 132,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"172\" x2=\"132\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <line x1=\"136\" y1=\"168\" x2=\"152\" y2=\"168\" class=\"solid\"></line>\n",
+       "        <path d=\"M 152,168 A 4,4 0,0,1 156,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"172\" x2=\"156\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <line x1=\"92\" y1=\"184\" x2=\"132\" y2=\"184\" class=\"broken\"></line>\n",
+       "        <path d=\"M 132,196 A 4,4 0,0,0 136,200\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"200\" x2=\"152\" y2=\"200\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,196 A 4,4 0,0,1 152,200\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 200,168 A 4,4 0,0,0 196,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"172\" x2=\"196\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"168\" x2=\"216\" y2=\"168\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,168 A 4,4 0,0,1 220,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"172\" x2=\"220\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <line x1=\"156\" y1=\"184\" x2=\"196\" y2=\"184\" class=\"broken\"></line>\n",
+       "        <path d=\"M 196,196 A 4,4 0,0,0 200,200\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"200\" x2=\"216\" y2=\"200\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,196 A 4,4 0,0,1 216,200\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 72,216 A 4,4 0,0,0 68,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"68\" y1=\"220\" x2=\"68\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <line x1=\"72\" y1=\"216\" x2=\"88\" y2=\"216\" class=\"solid\"></line>\n",
+       "        <path d=\"M 88,216 A 4,4 0,0,1 92,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"92\" y1=\"220\" x2=\"92\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <line x1=\"44\" y1=\"232\" x2=\"68\" y2=\"232\" class=\"solid\"></line>\n",
+       "        <path d=\"M 68,244 A 4,4 0,0,0 72,248\" class=\"nofill\"></path>\n",
+       "        <line x1=\"72\" y1=\"248\" x2=\"88\" y2=\"248\" class=\"solid\"></line>\n",
+       "        <path d=\"M 92,244 A 4,4 0,0,1 88,248\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 136,216 A 4,4 0,0,0 132,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"220\" x2=\"132\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <line x1=\"136\" y1=\"216\" x2=\"152\" y2=\"216\" class=\"solid\"></line>\n",
+       "        <path d=\"M 152,216 A 4,4 0,0,1 156,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"220\" x2=\"156\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <line x1=\"92\" y1=\"232\" x2=\"132\" y2=\"232\" class=\"broken\"></line>\n",
+       "        <path d=\"M 132,244 A 4,4 0,0,0 136,248\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"248\" x2=\"152\" y2=\"248\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,244 A 4,4 0,0,1 152,248\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 200,216 A 4,4 0,0,0 196,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"220\" x2=\"196\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"216\" x2=\"216\" y2=\"216\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,216 A 4,4 0,0,1 220,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"220\" x2=\"220\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <line x1=\"156\" y1=\"232\" x2=\"196\" y2=\"232\" class=\"broken\"></line>\n",
+       "        <path d=\"M 196,244 A 4,4 0,0,0 200,248\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"248\" x2=\"216\" y2=\"248\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,244 A 4,4 0,0,1 216,248\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 72,264 A 4,4 0,0,0 68,268\" class=\"nofill\"></path>\n",
+       "        <line x1=\"68\" y1=\"268\" x2=\"68\" y2=\"292\" class=\"solid\"></line>\n",
+       "        <line x1=\"72\" y1=\"264\" x2=\"88\" y2=\"264\" class=\"solid\"></line>\n",
+       "        <path d=\"M 88,264 A 4,4 0,0,1 92,268\" class=\"nofill\"></path>\n",
+       "        <line x1=\"92\" y1=\"268\" x2=\"92\" y2=\"292\" class=\"solid\"></line>\n",
+       "        <line x1=\"48\" y1=\"280\" x2=\"68\" y2=\"280\" class=\"solid\"></line>\n",
+       "        <path d=\"M 68,292 A 4,4 0,0,0 72,296\" class=\"nofill\"></path>\n",
+       "        <line x1=\"72\" y1=\"296\" x2=\"88\" y2=\"296\" class=\"solid\"></line>\n",
+       "        <path d=\"M 92,292 A 4,4 0,0,1 88,296\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 136,264 A 4,4 0,0,0 132,268\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"268\" x2=\"132\" y2=\"292\" class=\"solid\"></line>\n",
+       "        <line x1=\"136\" y1=\"264\" x2=\"152\" y2=\"264\" class=\"solid\"></line>\n",
+       "        <path d=\"M 152,264 A 4,4 0,0,1 156,268\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"268\" x2=\"156\" y2=\"292\" class=\"solid\"></line>\n",
+       "        <line x1=\"92\" y1=\"280\" x2=\"132\" y2=\"280\" class=\"broken\"></line>\n",
+       "        <path d=\"M 132,292 A 4,4 0,0,0 136,296\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"296\" x2=\"152\" y2=\"296\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,292 A 4,4 0,0,1 152,296\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 200,264 A 4,4 0,0,0 196,268\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"268\" x2=\"196\" y2=\"292\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"264\" x2=\"216\" y2=\"264\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,264 A 4,4 0,0,1 220,268\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"268\" x2=\"220\" y2=\"292\" class=\"solid\"></line>\n",
+       "        <line x1=\"156\" y1=\"280\" x2=\"196\" y2=\"280\" class=\"broken\"></line>\n",
+       "        <path d=\"M 196,292 A 4,4 0,0,0 200,296\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"296\" x2=\"216\" y2=\"296\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,292 A 4,4 0,0,1 216,296\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 72,312 A 4,4 0,0,0 68,316\" class=\"nofill\"></path>\n",
+       "        <line x1=\"68\" y1=\"316\" x2=\"68\" y2=\"340\" class=\"solid\"></line>\n",
+       "        <line x1=\"72\" y1=\"312\" x2=\"88\" y2=\"312\" class=\"solid\"></line>\n",
+       "        <path d=\"M 88,312 A 4,4 0,0,1 92,316\" class=\"nofill\"></path>\n",
+       "        <line x1=\"92\" y1=\"316\" x2=\"92\" y2=\"340\" class=\"solid\"></line>\n",
+       "        <line x1=\"32\" y1=\"328\" x2=\"68\" y2=\"328\" class=\"solid\"></line>\n",
+       "        <line x1=\"44\" y1=\"328\" x2=\"44\" y2=\"420\" class=\"solid\"></line>\n",
+       "        <path d=\"M 68,340 A 4,4 0,0,0 72,344\" class=\"nofill\"></path>\n",
+       "        <line x1=\"72\" y1=\"344\" x2=\"88\" y2=\"344\" class=\"solid\"></line>\n",
+       "        <path d=\"M 92,340 A 4,4 0,0,1 88,344\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 44,420 A 4,4 0,0,0 48,424\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 136,312 A 4,4 0,0,0 132,316\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"316\" x2=\"132\" y2=\"340\" class=\"solid\"></line>\n",
+       "        <line x1=\"136\" y1=\"312\" x2=\"152\" y2=\"312\" class=\"solid\"></line>\n",
+       "        <path d=\"M 152,312 A 4,4 0,0,1 156,316\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"316\" x2=\"156\" y2=\"340\" class=\"solid\"></line>\n",
+       "        <line x1=\"92\" y1=\"328\" x2=\"132\" y2=\"328\" class=\"broken\"></line>\n",
+       "        <path d=\"M 132,340 A 4,4 0,0,0 136,344\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"344\" x2=\"152\" y2=\"344\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,340 A 4,4 0,0,1 152,344\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 200,312 A 4,4 0,0,0 196,316\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"316\" x2=\"196\" y2=\"340\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"312\" x2=\"216\" y2=\"312\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,312 A 4,4 0,0,1 220,316\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"316\" x2=\"220\" y2=\"340\" class=\"solid\"></line>\n",
+       "        <line x1=\"156\" y1=\"328\" x2=\"196\" y2=\"328\" class=\"broken\"></line>\n",
+       "        <path d=\"M 196,340 A 4,4 0,0,0 200,344\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"344\" x2=\"216\" y2=\"344\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,340 A 4,4 0,0,1 216,344\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 72,360 A 4,4 0,0,0 68,364\" class=\"nofill\"></path>\n",
+       "        <line x1=\"68\" y1=\"364\" x2=\"68\" y2=\"388\" class=\"solid\"></line>\n",
+       "        <line x1=\"72\" y1=\"360\" x2=\"88\" y2=\"360\" class=\"solid\"></line>\n",
+       "        <path d=\"M 88,360 A 4,4 0,0,1 92,364\" class=\"nofill\"></path>\n",
+       "        <line x1=\"92\" y1=\"364\" x2=\"92\" y2=\"388\" class=\"solid\"></line>\n",
+       "        <line x1=\"44\" y1=\"376\" x2=\"68\" y2=\"376\" class=\"solid\"></line>\n",
+       "        <path d=\"M 68,388 A 4,4 0,0,0 72,392\" class=\"nofill\"></path>\n",
+       "        <line x1=\"72\" y1=\"392\" x2=\"88\" y2=\"392\" class=\"solid\"></line>\n",
+       "        <path d=\"M 92,388 A 4,4 0,0,1 88,392\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 136,360 A 4,4 0,0,0 132,364\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"364\" x2=\"132\" y2=\"388\" class=\"solid\"></line>\n",
+       "        <line x1=\"136\" y1=\"360\" x2=\"152\" y2=\"360\" class=\"solid\"></line>\n",
+       "        <path d=\"M 152,360 A 4,4 0,0,1 156,364\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"364\" x2=\"156\" y2=\"388\" class=\"solid\"></line>\n",
+       "        <line x1=\"92\" y1=\"376\" x2=\"132\" y2=\"376\" class=\"broken\"></line>\n",
+       "        <path d=\"M 132,388 A 4,4 0,0,0 136,392\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"392\" x2=\"152\" y2=\"392\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,388 A 4,4 0,0,1 152,392\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 200,360 A 4,4 0,0,0 196,364\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"364\" x2=\"196\" y2=\"388\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"360\" x2=\"216\" y2=\"360\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,360 A 4,4 0,0,1 220,364\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"364\" x2=\"220\" y2=\"388\" class=\"solid\"></line>\n",
+       "        <line x1=\"156\" y1=\"376\" x2=\"196\" y2=\"376\" class=\"broken\"></line>\n",
+       "        <path d=\"M 196,388 A 4,4 0,0,0 200,392\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"392\" x2=\"216\" y2=\"392\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,388 A 4,4 0,0,1 216,392\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 72,408 A 4,4 0,0,0 68,412\" class=\"nofill\"></path>\n",
+       "        <line x1=\"68\" y1=\"412\" x2=\"68\" y2=\"436\" class=\"solid\"></line>\n",
+       "        <line x1=\"72\" y1=\"408\" x2=\"88\" y2=\"408\" class=\"solid\"></line>\n",
+       "        <path d=\"M 88,408 A 4,4 0,0,1 92,412\" class=\"nofill\"></path>\n",
+       "        <line x1=\"92\" y1=\"412\" x2=\"92\" y2=\"436\" class=\"solid\"></line>\n",
+       "        <line x1=\"48\" y1=\"424\" x2=\"68\" y2=\"424\" class=\"solid\"></line>\n",
+       "        <path d=\"M 68,436 A 4,4 0,0,0 72,440\" class=\"nofill\"></path>\n",
+       "        <line x1=\"72\" y1=\"440\" x2=\"88\" y2=\"440\" class=\"solid\"></line>\n",
+       "        <path d=\"M 92,436 A 4,4 0,0,1 88,440\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 136,408 A 4,4 0,0,0 132,412\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"412\" x2=\"132\" y2=\"436\" class=\"solid\"></line>\n",
+       "        <line x1=\"136\" y1=\"408\" x2=\"152\" y2=\"408\" class=\"solid\"></line>\n",
+       "        <path d=\"M 152,408 A 4,4 0,0,1 156,412\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"412\" x2=\"156\" y2=\"436\" class=\"solid\"></line>\n",
+       "        <line x1=\"92\" y1=\"424\" x2=\"132\" y2=\"424\" class=\"broken\"></line>\n",
+       "        <path d=\"M 132,436 A 4,4 0,0,0 136,440\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"440\" x2=\"152\" y2=\"440\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,436 A 4,4 0,0,1 152,440\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 200,408 A 4,4 0,0,0 196,412\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"412\" x2=\"196\" y2=\"436\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"408\" x2=\"216\" y2=\"408\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,408 A 4,4 0,0,1 220,412\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"412\" x2=\"220\" y2=\"436\" class=\"solid\"></line>\n",
+       "        <line x1=\"156\" y1=\"424\" x2=\"196\" y2=\"424\" class=\"broken\"></line>\n",
+       "        <path d=\"M 196,436 A 4,4 0,0,0 200,440\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"440\" x2=\"216\" y2=\"440\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,436 A 4,4 0,0,1 216,440\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 8,360 A 4,4 0,0,0 4,364\" class=\"nofill\"></path>\n",
+       "        <line x1=\"4\" y1=\"364\" x2=\"4\" y2=\"388\" class=\"broken\"></line>\n",
+       "        <line x1=\"8\" y1=\"360\" x2=\"24\" y2=\"360\" class=\"broken\"></line>\n",
+       "        <path d=\"M 24,360 A 4,4 0,0,1 28,364\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 24,360 A 8,8 0,0,1 30,364\" class=\"nofill\"></path>\n",
+       "        <line x1=\"28\" y1=\"364\" x2=\"28\" y2=\"388\" class=\"broken\"></line>\n",
+       "        <line x1=\"30\" y1=\"364\" x2=\"32\" y2=\"368\" class=\"solid\"></line>\n",
+       "        <path d=\"M 32,368 A 16,16 0,0,1 32,384\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 4,388 A 4,4 0,0,0 8,392\" class=\"nofill\"></path>\n",
+       "        <line x1=\"8\" y1=\"392\" x2=\"24\" y2=\"392\" class=\"broken\"></line>\n",
+       "        <line x1=\"32\" y1=\"384\" x2=\"30\" y2=\"388\" class=\"solid\"></line>\n",
+       "        <path d=\"M 28,388 A 4,4 0,0,1 24,392\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 30,388 A 8,8 0,0,1 24,392\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "</svg>"
+      ],
+      "text/plain": [
+       ".~~~.   .---.   .---.   .---.\n",
+       "┊i0 ┊p0 |i1 |p1 |i2 |p2 |i3 |\n",
+       "`~~~'   `---'   `---'   `---'\n",
+       "=============================\n",
+       ".~~.  0 .--.  0 .--.  0 .--.\n",
+       "┊0 ┊-+--|0 |~~~~|0 |~~~~|1 |\n",
+       "`~~' |  `--'  1 `--'  1 `--'\n",
+       "     |  .--.    .--.    .--.\n",
+       "     |--|0 |~~~~|0 |~~~~|2 |\n",
+       "     |  `--'  2 `--'  2 `--'\n",
+       "     |  .--.    .--.    .--.\n",
+       "     |--|1 |~~~~|0 |~~~~|0 |\n",
+       "     |  `--'  3 `--'  3 `--'\n",
+       "     |  .--.    .--.    .--.\n",
+       "     |--|1 |~~~~|0 |~~~~|2 |\n",
+       "     |  `--'  4 `--'  4 `--'\n",
+       "     |  .--.    .--.    .--.\n",
+       "     `--|1 |~~~~|1 |~~~~|0 |\n",
+       "      5 `--'  5 `--'  5 `--'\n",
+       ".~~.    .--.    .--.    .--.\n",
+       "┊1 ┊-+--|1 |~~~~|1 |~~~~|0 |\n",
+       "`~~' |  `--'  6 `--'  6 `--'\n",
+       ".~~. |  .--.    .--.    .--.\n",
+       "┊2 ┊)|--|1 |~~~~|1 |~~~~|1 |\n",
+       "`~~' |  `--'  7 `--'  7 `--'\n",
+       "     |  .--.    .--.    .--.\n",
+       "     `--|1 |~~~~|1 |~~~~|2 |\n",
+       "      8 `--'  8 `--'  8 `--'"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "text/markdown": [
+       "# C-S-C-S"
+      ],
+      "text/plain": [
+       "<IPython.core.display.Markdown object>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "image/svg+xml": [
+       "<svg xmlns=\"http://www.w3.org/2000/svg\" width=\"240\" height=\"528\">\n",
+       "    <style>line, path, circle,rect,polygon {\n",
+       "                          stroke: black;\n",
+       "                          stroke-width: 2;\n",
+       "                          stroke-opacity: 1;\n",
+       "                          fill-opacity: 1;\n",
+       "                          stroke-linecap: round;\n",
+       "                          stroke-linejoin: miter;\n",
+       "                        }\n",
+       "\n",
+       "                    text {\n",
+       "                        /* This fix the spacing bug in svg text*/\n",
+       "                        white-space: pre;\n",
+       "                        fill: black;\n",
+       "                        }\n",
+       "                        rect.backdrop{\n",
+       "                            stroke: none;\n",
+       "                            fill: white;\n",
+       "                        }\n",
+       "                        .broken{\n",
+       "                            stroke-dasharray: 8;\n",
+       "                        }\n",
+       "                        .filled{\n",
+       "                            fill: black;\n",
+       "                        }\n",
+       "                        .bg_filled{\n",
+       "                            fill: white;\n",
+       "                        }\n",
+       "                        .nofill{\n",
+       "                            fill: white;\n",
+       "                        }\n",
+       "\n",
+       "                        text {\n",
+       "                         font-family: monospace;\n",
+       "                         font-size: 14px;\n",
+       "                        }\n",
+       "\n",
+       "                        .end_marked_arrow{\n",
+       "                            marker-end: url(#arrow);\n",
+       "                         }\n",
+       "                        .start_marked_arrow{\n",
+       "                            marker-start: url(#arrow);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_diamond{\n",
+       "                            marker-end: url(#diamond);\n",
+       "                         }\n",
+       "                        .start_marked_diamond{\n",
+       "                            marker-start: url(#diamond);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_circle{\n",
+       "                            marker-end: url(#circle);\n",
+       "                         }\n",
+       "                        .start_marked_circle{\n",
+       "                            marker-start: url(#circle);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_open_circle{\n",
+       "                            marker-end: url(#open_circle);\n",
+       "                         }\n",
+       "                        .start_marked_open_circle{\n",
+       "                            marker-start: url(#open_circle);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_big_open_circle{\n",
+       "                            marker-end: url(#big_open_circle);\n",
+       "                         }\n",
+       "                        .start_marked_big_open_circle{\n",
+       "                            marker-start: url(#big_open_circle);\n",
+       "                         }\n",
+       "\n",
+       "                         \n",
+       "                        </style>\n",
+       "    <defs>\n",
+       "        <marker id=\"arrow\" viewBox=\"-2 -2 8 8\" refX=\"4\" refY=\"2\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <polygon points=\"0,0 0,4 4,2 0,0\"></polygon>\n",
+       "        </marker>\n",
+       "        <marker id=\"diamond\" viewBox=\"-2 -2 8 8\" refX=\"4\" refY=\"2\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <polygon points=\"0,2 2,0 4,2 2,4 0,2\"></polygon>\n",
+       "        </marker>\n",
+       "        <marker id=\"circle\" viewBox=\"0 0 8 8\" refX=\"4\" refY=\"4\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <circle cx=\"4\" cy=\"4\" r=\"2\" class=\"filled\"></circle>\n",
+       "        </marker>\n",
+       "        <marker id=\"open_circle\" viewBox=\"0 0 8 8\" refX=\"4\" refY=\"4\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <circle cx=\"4\" cy=\"4\" r=\"2\" class=\"bg_filled\"></circle>\n",
+       "        </marker>\n",
+       "        <marker id=\"big_open_circle\" viewBox=\"0 0 8 8\" refX=\"4\" refY=\"4\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <circle cx=\"4\" cy=\"4\" r=\"3\" class=\"bg_filled\"></circle>\n",
+       "        </marker>\n",
+       "    </defs>\n",
+       "    <rect x=\"4\" y=\"8\" width=\"32\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"10\" y=\"28\" >i0</text>\n",
+       "    <rect x=\"68\" y=\"8\" width=\"32\" height=\"32\" class=\"solid nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"74\" y=\"28\" >i1</text>\n",
+       "    <rect x=\"132\" y=\"8\" width=\"32\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"138\" y=\"28\" >i2</text>\n",
+       "    <rect x=\"196\" y=\"8\" width=\"32\" height=\"32\" class=\"solid nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"202\" y=\"28\" >i3</text>\n",
+       "    <rect x=\"4\" y=\"72\" width=\"24\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"10\" y=\"92\" >0</text>\n",
+       "    <rect x=\"132\" y=\"72\" width=\"24\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"138\" y=\"92\" >0</text>\n",
+       "    <rect x=\"132\" y=\"216\" width=\"24\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"138\" y=\"236\" >0</text>\n",
+       "    <rect x=\"132\" y=\"264\" width=\"24\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"138\" y=\"284\" >1</text>\n",
+       "    <rect x=\"4\" y=\"360\" width=\"24\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"10\" y=\"380\" >1</text>\n",
+       "    <rect x=\"132\" y=\"408\" width=\"24\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"138\" y=\"428\" >1</text>\n",
+       "    <text x=\"42\" y=\"28\" >p0</text>\n",
+       "    <text x=\"106\" y=\"28\" >p1</text>\n",
+       "    <text x=\"170\" y=\"28\" >p2</text>\n",
+       "    <line x1=\"0\" y1=\"54\" x2=\"232\" y2=\"54\" class=\"solid\"></line>\n",
+       "    <line x1=\"0\" y1=\"58\" x2=\"232\" y2=\"58\" class=\"solid\"></line>\n",
+       "    <text x=\"50\" y=\"76\" >0</text>\n",
+       "    <text x=\"114\" y=\"76\" >0</text>\n",
+       "    <text x=\"178\" y=\"76\" >0</text>\n",
+       "    <text x=\"74\" y=\"92\" >0</text>\n",
+       "    <text x=\"202\" y=\"92\" >1</text>\n",
+       "    <text x=\"114\" y=\"108\" >1</text>\n",
+       "    <text x=\"202\" y=\"108\" >2</text>\n",
+       "    <text x=\"178\" y=\"124\" >2</text>\n",
+       "    <text x=\"74\" y=\"140\" >0</text>\n",
+       "    <text x=\"138\" y=\"140\" >1</text>\n",
+       "    <text x=\"114\" y=\"156\" >2</text>\n",
+       "    <text x=\"74\" y=\"188\" >0</text>\n",
+       "    <text x=\"138\" y=\"188\" >2</text>\n",
+       "    <text x=\"114\" y=\"204\" >3</text>\n",
+       "    <text x=\"178\" y=\"220\" >2</text>\n",
+       "    <text x=\"74\" y=\"236\" >1</text>\n",
+       "    <text x=\"202\" y=\"236\" >0</text>\n",
+       "    <text x=\"114\" y=\"252\" >4</text>\n",
+       "    <text x=\"202\" y=\"252\" >2</text>\n",
+       "    <text x=\"178\" y=\"268\" >4</text>\n",
+       "    <text x=\"74\" y=\"284\" >1</text>\n",
+       "    <text x=\"202\" y=\"284\" >0</text>\n",
+       "    <text x=\"114\" y=\"300\" >5</text>\n",
+       "    <text x=\"178\" y=\"300\" >5</text>\n",
+       "    <text x=\"74\" y=\"332\" >1</text>\n",
+       "    <text x=\"138\" y=\"332\" >2</text>\n",
+       "    <text x=\"50\" y=\"348\" >6</text>\n",
+       "    <text x=\"114\" y=\"348\" >6</text>\n",
+       "    <text x=\"74\" y=\"380\" >1</text>\n",
+       "    <text x=\"138\" y=\"380\" >0</text>\n",
+       "    <text x=\"114\" y=\"396\" >7</text>\n",
+       "    <text x=\"178\" y=\"412\" >5</text>\n",
+       "    <text x=\"10\" y=\"428\" >2</text>\n",
+       "    <text x=\"74\" y=\"428\" >1</text>\n",
+       "    <text x=\"202\" y=\"428\" >0</text>\n",
+       "    <text x=\"114\" y=\"444\" >8</text>\n",
+       "    <text x=\"202\" y=\"444\" >1</text>\n",
+       "    <text x=\"202\" y=\"460\" >2</text>\n",
+       "    <text x=\"178\" y=\"476\" >8</text>\n",
+       "    <text x=\"74\" y=\"492\" >1</text>\n",
+       "    <text x=\"138\" y=\"492\" >2</text>\n",
+       "    <text x=\"50\" y=\"508\" >9</text>\n",
+       "    <text x=\"114\" y=\"508\" >9</text>\n",
+       "    <text x=\"178\" y=\"172\" >2</text>\n",
+       "    <text x=\"178\" y=\"364\" >5</text>\n",
+       "    <text x=\"178\" y=\"508\" >8</text>\n",
+       "    <g>\n",
+       "        <path d=\"M 72,72 A 4,4 0,0,0 68,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"68\" y1=\"76\" x2=\"68\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"72\" y1=\"72\" x2=\"88\" y2=\"72\" class=\"solid\"></line>\n",
+       "        <path d=\"M 88,72 A 4,4 0,0,1 92,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"92\" y1=\"76\" x2=\"92\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"32\" y1=\"88\" x2=\"68\" y2=\"88\" class=\"solid\"></line>\n",
+       "        <line x1=\"44\" y1=\"88\" x2=\"44\" y2=\"324\" class=\"solid\"></line>\n",
+       "        <line x1=\"92\" y1=\"88\" x2=\"128\" y2=\"88\" class=\"broken\"></line>\n",
+       "        <path d=\"M 68,100 A 4,4 0,0,0 72,104\" class=\"nofill\"></path>\n",
+       "        <line x1=\"72\" y1=\"104\" x2=\"88\" y2=\"104\" class=\"solid\"></line>\n",
+       "        <path d=\"M 92,100 A 4,4 0,0,1 88,104\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 44,324 A 4,4 0,0,0 48,328\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 72,120 A 4,4 0,0,0 68,124\" class=\"nofill\"></path>\n",
+       "        <line x1=\"68\" y1=\"124\" x2=\"68\" y2=\"148\" class=\"solid\"></line>\n",
+       "        <line x1=\"72\" y1=\"120\" x2=\"88\" y2=\"120\" class=\"solid\"></line>\n",
+       "        <path d=\"M 88,120 A 4,4 0,0,1 92,124\" class=\"nofill\"></path>\n",
+       "        <line x1=\"92\" y1=\"124\" x2=\"92\" y2=\"148\" class=\"solid\"></line>\n",
+       "        <line x1=\"44\" y1=\"136\" x2=\"68\" y2=\"136\" class=\"solid\"></line>\n",
+       "        <line x1=\"92\" y1=\"136\" x2=\"128\" y2=\"136\" class=\"broken\"></line>\n",
+       "        <path d=\"M 68,148 A 4,4 0,0,0 72,152\" class=\"nofill\"></path>\n",
+       "        <line x1=\"72\" y1=\"152\" x2=\"88\" y2=\"152\" class=\"solid\"></line>\n",
+       "        <path d=\"M 92,148 A 4,4 0,0,1 88,152\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 72,168 A 4,4 0,0,0 68,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"68\" y1=\"172\" x2=\"68\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <line x1=\"72\" y1=\"168\" x2=\"88\" y2=\"168\" class=\"solid\"></line>\n",
+       "        <path d=\"M 88,168 A 4,4 0,0,1 92,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"92\" y1=\"172\" x2=\"92\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <line x1=\"44\" y1=\"184\" x2=\"68\" y2=\"184\" class=\"solid\"></line>\n",
+       "        <line x1=\"92\" y1=\"184\" x2=\"128\" y2=\"184\" class=\"broken\"></line>\n",
+       "        <path d=\"M 68,196 A 4,4 0,0,0 72,200\" class=\"nofill\"></path>\n",
+       "        <line x1=\"72\" y1=\"200\" x2=\"88\" y2=\"200\" class=\"solid\"></line>\n",
+       "        <path d=\"M 92,196 A 4,4 0,0,1 88,200\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 72,216 A 4,4 0,0,0 68,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"68\" y1=\"220\" x2=\"68\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <line x1=\"72\" y1=\"216\" x2=\"88\" y2=\"216\" class=\"solid\"></line>\n",
+       "        <path d=\"M 88,216 A 4,4 0,0,1 92,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"92\" y1=\"220\" x2=\"92\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <line x1=\"44\" y1=\"232\" x2=\"68\" y2=\"232\" class=\"solid\"></line>\n",
+       "        <line x1=\"92\" y1=\"232\" x2=\"128\" y2=\"232\" class=\"broken\"></line>\n",
+       "        <path d=\"M 68,244 A 4,4 0,0,0 72,248\" class=\"nofill\"></path>\n",
+       "        <line x1=\"72\" y1=\"248\" x2=\"88\" y2=\"248\" class=\"solid\"></line>\n",
+       "        <path d=\"M 92,244 A 4,4 0,0,1 88,248\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 72,264 A 4,4 0,0,0 68,268\" class=\"nofill\"></path>\n",
+       "        <line x1=\"68\" y1=\"268\" x2=\"68\" y2=\"292\" class=\"solid\"></line>\n",
+       "        <line x1=\"72\" y1=\"264\" x2=\"88\" y2=\"264\" class=\"solid\"></line>\n",
+       "        <path d=\"M 88,264 A 4,4 0,0,1 92,268\" class=\"nofill\"></path>\n",
+       "        <line x1=\"92\" y1=\"268\" x2=\"92\" y2=\"292\" class=\"solid\"></line>\n",
+       "        <line x1=\"44\" y1=\"280\" x2=\"68\" y2=\"280\" class=\"solid\"></line>\n",
+       "        <line x1=\"92\" y1=\"280\" x2=\"128\" y2=\"280\" class=\"broken\"></line>\n",
+       "        <path d=\"M 68,292 A 4,4 0,0,0 72,296\" class=\"nofill\"></path>\n",
+       "        <line x1=\"72\" y1=\"296\" x2=\"88\" y2=\"296\" class=\"solid\"></line>\n",
+       "        <path d=\"M 92,292 A 4,4 0,0,1 88,296\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 72,312 A 4,4 0,0,0 68,316\" class=\"nofill\"></path>\n",
+       "        <line x1=\"68\" y1=\"316\" x2=\"68\" y2=\"340\" class=\"solid\"></line>\n",
+       "        <line x1=\"72\" y1=\"312\" x2=\"88\" y2=\"312\" class=\"solid\"></line>\n",
+       "        <path d=\"M 88,312 A 4,4 0,0,1 92,316\" class=\"nofill\"></path>\n",
+       "        <line x1=\"92\" y1=\"316\" x2=\"92\" y2=\"340\" class=\"solid\"></line>\n",
+       "        <line x1=\"48\" y1=\"328\" x2=\"68\" y2=\"328\" class=\"solid\"></line>\n",
+       "        <line x1=\"92\" y1=\"328\" x2=\"128\" y2=\"328\" class=\"broken\"></line>\n",
+       "        <path d=\"M 68,340 A 4,4 0,0,0 72,344\" class=\"nofill\"></path>\n",
+       "        <line x1=\"72\" y1=\"344\" x2=\"88\" y2=\"344\" class=\"solid\"></line>\n",
+       "        <path d=\"M 92,340 A 4,4 0,0,1 88,344\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 200,72 A 4,4 0,0,0 196,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"76\" x2=\"196\" y2=\"116\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"72\" x2=\"216\" y2=\"72\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,72 A 4,4 0,0,1 220,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"76\" x2=\"220\" y2=\"116\" class=\"solid\"></line>\n",
+       "        <line x1=\"160\" y1=\"88\" x2=\"196\" y2=\"88\" class=\"solid\"></line>\n",
+       "        <line x1=\"172\" y1=\"88\" x2=\"172\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <path d=\"M 172,100 A 4,4 0,0,0 176,104\" class=\"nofill\"></path>\n",
+       "        <line x1=\"176\" y1=\"104\" x2=\"196\" y2=\"104\" class=\"solid\"></line>\n",
+       "        <path d=\"M 196,116 A 4,4 0,0,0 200,120\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"120\" x2=\"216\" y2=\"120\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,116 A 4,4 0,0,1 216,120\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 136,120 A 4,4 0,0,0 132,124\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"124\" x2=\"132\" y2=\"148\" class=\"broken\"></line>\n",
+       "        <line x1=\"136\" y1=\"120\" x2=\"152\" y2=\"120\" class=\"broken\"></line>\n",
+       "        <path d=\"M 152,120 A 4,4 0,0,1 156,124\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 152,120 A 8,8 0,0,1 158,124\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"124\" x2=\"156\" y2=\"148\" class=\"broken\"></line>\n",
+       "        <line x1=\"158\" y1=\"124\" x2=\"160\" y2=\"128\" class=\"solid\"></line>\n",
+       "        <path d=\"M 160,128 A 16,16 0,0,1 160,144\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 132,148 A 4,4 0,0,0 136,152\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"152\" x2=\"152\" y2=\"152\" class=\"broken\"></line>\n",
+       "        <line x1=\"160\" y1=\"144\" x2=\"158\" y2=\"148\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,148 A 4,4 0,0,1 152,152\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 158,148 A 8,8 0,0,1 152,152\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 136,168 A 4,4 0,0,0 132,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"172\" x2=\"132\" y2=\"196\" class=\"broken\"></line>\n",
+       "        <line x1=\"136\" y1=\"168\" x2=\"152\" y2=\"168\" class=\"broken\"></line>\n",
+       "        <path d=\"M 152,168 A 4,4 0,0,1 156,172\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 152,168 A 8,8 0,0,1 158,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"172\" x2=\"156\" y2=\"196\" class=\"broken\"></line>\n",
+       "        <line x1=\"158\" y1=\"172\" x2=\"160\" y2=\"176\" class=\"solid\"></line>\n",
+       "        <path d=\"M 160,176 A 16,16 0,0,1 160,192\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 132,196 A 4,4 0,0,0 136,200\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"200\" x2=\"152\" y2=\"200\" class=\"broken\"></line>\n",
+       "        <line x1=\"160\" y1=\"192\" x2=\"158\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,196 A 4,4 0,0,1 152,200\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 158,196 A 8,8 0,0,1 152,200\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 200,216 A 4,4 0,0,0 196,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"220\" x2=\"196\" y2=\"292\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"216\" x2=\"216\" y2=\"216\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,216 A 4,4 0,0,1 220,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"220\" x2=\"220\" y2=\"292\" class=\"solid\"></line>\n",
+       "        <line x1=\"160\" y1=\"232\" x2=\"196\" y2=\"232\" class=\"solid\"></line>\n",
+       "        <line x1=\"172\" y1=\"232\" x2=\"172\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <path d=\"M 172,244 A 4,4 0,0,0 176,248\" class=\"nofill\"></path>\n",
+       "        <line x1=\"176\" y1=\"248\" x2=\"196\" y2=\"248\" class=\"solid\"></line>\n",
+       "        <line x1=\"196\" y1=\"264\" x2=\"220\" y2=\"264\" class=\"solid\"></line>\n",
+       "        <line x1=\"160\" y1=\"280\" x2=\"196\" y2=\"280\" class=\"solid\"></line>\n",
+       "        <path d=\"M 196,292 A 4,4 0,0,0 200,296\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"296\" x2=\"216\" y2=\"296\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,292 A 4,4 0,0,1 216,296\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 136,312 A 4,4 0,0,0 132,316\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"316\" x2=\"132\" y2=\"340\" class=\"broken\"></line>\n",
+       "        <line x1=\"136\" y1=\"312\" x2=\"152\" y2=\"312\" class=\"broken\"></line>\n",
+       "        <path d=\"M 152,312 A 4,4 0,0,1 156,316\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 152,312 A 8,8 0,0,1 158,316\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"316\" x2=\"156\" y2=\"340\" class=\"broken\"></line>\n",
+       "        <line x1=\"158\" y1=\"316\" x2=\"160\" y2=\"320\" class=\"solid\"></line>\n",
+       "        <path d=\"M 160,320 A 16,16 0,0,1 160,336\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 132,340 A 4,4 0,0,0 136,344\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"344\" x2=\"152\" y2=\"344\" class=\"broken\"></line>\n",
+       "        <line x1=\"160\" y1=\"336\" x2=\"158\" y2=\"340\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,340 A 4,4 0,0,1 152,344\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 158,340 A 8,8 0,0,1 152,344\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 72,360 A 4,4 0,0,0 68,364\" class=\"nofill\"></path>\n",
+       "        <line x1=\"68\" y1=\"364\" x2=\"68\" y2=\"388\" class=\"solid\"></line>\n",
+       "        <line x1=\"72\" y1=\"360\" x2=\"88\" y2=\"360\" class=\"solid\"></line>\n",
+       "        <path d=\"M 88,360 A 4,4 0,0,1 92,364\" class=\"nofill\"></path>\n",
+       "        <line x1=\"92\" y1=\"364\" x2=\"92\" y2=\"388\" class=\"solid\"></line>\n",
+       "        <line x1=\"32\" y1=\"376\" x2=\"68\" y2=\"376\" class=\"solid\"></line>\n",
+       "        <line x1=\"44\" y1=\"376\" x2=\"44\" y2=\"484\" class=\"solid\"></line>\n",
+       "        <line x1=\"92\" y1=\"376\" x2=\"128\" y2=\"376\" class=\"broken\"></line>\n",
+       "        <path d=\"M 68,388 A 4,4 0,0,0 72,392\" class=\"nofill\"></path>\n",
+       "        <line x1=\"72\" y1=\"392\" x2=\"88\" y2=\"392\" class=\"solid\"></line>\n",
+       "        <path d=\"M 92,388 A 4,4 0,0,1 88,392\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 44,484 A 4,4 0,0,0 48,488\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 72,408 A 4,4 0,0,0 68,412\" class=\"nofill\"></path>\n",
+       "        <line x1=\"68\" y1=\"412\" x2=\"68\" y2=\"436\" class=\"solid\"></line>\n",
+       "        <line x1=\"72\" y1=\"408\" x2=\"88\" y2=\"408\" class=\"solid\"></line>\n",
+       "        <path d=\"M 88,408 A 4,4 0,0,1 92,412\" class=\"nofill\"></path>\n",
+       "        <line x1=\"92\" y1=\"412\" x2=\"92\" y2=\"436\" class=\"solid\"></line>\n",
+       "        <line x1=\"44\" y1=\"424\" x2=\"68\" y2=\"424\" class=\"solid\"></line>\n",
+       "        <line x1=\"92\" y1=\"424\" x2=\"128\" y2=\"424\" class=\"broken\"></line>\n",
+       "        <path d=\"M 68,436 A 4,4 0,0,0 72,440\" class=\"nofill\"></path>\n",
+       "        <line x1=\"72\" y1=\"440\" x2=\"88\" y2=\"440\" class=\"solid\"></line>\n",
+       "        <path d=\"M 92,436 A 4,4 0,0,1 88,440\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 72,472 A 4,4 0,0,0 68,476\" class=\"nofill\"></path>\n",
+       "        <line x1=\"68\" y1=\"476\" x2=\"68\" y2=\"500\" class=\"solid\"></line>\n",
+       "        <line x1=\"72\" y1=\"472\" x2=\"88\" y2=\"472\" class=\"solid\"></line>\n",
+       "        <path d=\"M 88,472 A 4,4 0,0,1 92,476\" class=\"nofill\"></path>\n",
+       "        <line x1=\"92\" y1=\"476\" x2=\"92\" y2=\"500\" class=\"solid\"></line>\n",
+       "        <line x1=\"48\" y1=\"488\" x2=\"68\" y2=\"488\" class=\"solid\"></line>\n",
+       "        <line x1=\"92\" y1=\"488\" x2=\"128\" y2=\"488\" class=\"broken\"></line>\n",
+       "        <path d=\"M 68,500 A 4,4 0,0,0 72,504\" class=\"nofill\"></path>\n",
+       "        <line x1=\"72\" y1=\"504\" x2=\"88\" y2=\"504\" class=\"solid\"></line>\n",
+       "        <path d=\"M 92,500 A 4,4 0,0,1 88,504\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 136,360 A 4,4 0,0,0 132,364\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"364\" x2=\"132\" y2=\"388\" class=\"broken\"></line>\n",
+       "        <line x1=\"136\" y1=\"360\" x2=\"152\" y2=\"360\" class=\"broken\"></line>\n",
+       "        <path d=\"M 152,360 A 4,4 0,0,1 156,364\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 152,360 A 8,8 0,0,1 158,364\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"364\" x2=\"156\" y2=\"388\" class=\"broken\"></line>\n",
+       "        <line x1=\"158\" y1=\"364\" x2=\"160\" y2=\"368\" class=\"solid\"></line>\n",
+       "        <path d=\"M 160,368 A 16,16 0,0,1 160,384\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 132,388 A 4,4 0,0,0 136,392\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"392\" x2=\"152\" y2=\"392\" class=\"broken\"></line>\n",
+       "        <line x1=\"160\" y1=\"384\" x2=\"158\" y2=\"388\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,388 A 4,4 0,0,1 152,392\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 158,388 A 8,8 0,0,1 152,392\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 8,408 A 4,4 0,0,0 4,412\" class=\"nofill\"></path>\n",
+       "        <line x1=\"4\" y1=\"412\" x2=\"4\" y2=\"436\" class=\"broken\"></line>\n",
+       "        <line x1=\"8\" y1=\"408\" x2=\"24\" y2=\"408\" class=\"broken\"></line>\n",
+       "        <path d=\"M 24,408 A 4,4 0,0,1 28,412\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 24,408 A 8,8 0,0,1 30,412\" class=\"nofill\"></path>\n",
+       "        <line x1=\"28\" y1=\"412\" x2=\"28\" y2=\"436\" class=\"broken\"></line>\n",
+       "        <line x1=\"30\" y1=\"412\" x2=\"32\" y2=\"416\" class=\"solid\"></line>\n",
+       "        <path d=\"M 32,416 A 16,16 0,0,1 32,432\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 4,436 A 4,4 0,0,0 8,440\" class=\"nofill\"></path>\n",
+       "        <line x1=\"8\" y1=\"440\" x2=\"24\" y2=\"440\" class=\"broken\"></line>\n",
+       "        <line x1=\"32\" y1=\"432\" x2=\"30\" y2=\"436\" class=\"solid\"></line>\n",
+       "        <path d=\"M 28,436 A 4,4 0,0,1 24,440\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 30,436 A 8,8 0,0,1 24,440\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 200,408 A 4,4 0,0,0 196,412\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"412\" x2=\"196\" y2=\"468\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"408\" x2=\"216\" y2=\"408\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,408 A 4,4 0,0,1 220,412\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"412\" x2=\"220\" y2=\"468\" class=\"solid\"></line>\n",
+       "        <line x1=\"160\" y1=\"424\" x2=\"196\" y2=\"424\" class=\"solid\"></line>\n",
+       "        <line x1=\"172\" y1=\"424\" x2=\"172\" y2=\"452\" class=\"solid\"></line>\n",
+       "        <line x1=\"172\" y1=\"440\" x2=\"196\" y2=\"440\" class=\"solid\"></line>\n",
+       "        <path d=\"M 172,452 A 4,4 0,0,0 176,456\" class=\"nofill\"></path>\n",
+       "        <line x1=\"176\" y1=\"456\" x2=\"196\" y2=\"456\" class=\"solid\"></line>\n",
+       "        <path d=\"M 196,468 A 4,4 0,0,0 200,472\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"472\" x2=\"216\" y2=\"472\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,468 A 4,4 0,0,1 216,472\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 136,472 A 4,4 0,0,0 132,476\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"476\" x2=\"132\" y2=\"500\" class=\"broken\"></line>\n",
+       "        <line x1=\"136\" y1=\"472\" x2=\"152\" y2=\"472\" class=\"broken\"></line>\n",
+       "        <path d=\"M 152,472 A 4,4 0,0,1 156,476\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 152,472 A 8,8 0,0,1 158,476\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"476\" x2=\"156\" y2=\"500\" class=\"broken\"></line>\n",
+       "        <line x1=\"158\" y1=\"476\" x2=\"160\" y2=\"480\" class=\"solid\"></line>\n",
+       "        <path d=\"M 160,480 A 16,16 0,0,1 160,496\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 132,500 A 4,4 0,0,0 136,504\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"504\" x2=\"152\" y2=\"504\" class=\"broken\"></line>\n",
+       "        <line x1=\"160\" y1=\"496\" x2=\"158\" y2=\"500\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,500 A 4,4 0,0,1 152,504\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 158,500 A 8,8 0,0,1 152,504\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "</svg>"
+      ],
+      "text/plain": [
+       ".~~~.   .---.   .~~~.   .---.\n",
+       "┊i0 ┊p0 |i1 |p1 ┊i2 ┊p2 |i3 |\n",
+       "`~~~'   `---'   `~~~'   `---'\n",
+       "=============================\n",
+       ".~~.  0 .--.  0 .~~.  0 .--.\n",
+       "┊0 ┊-+--|0 |~~~~┊0 ┊-+--|1 |\n",
+       "`~~' |  `--'  1 `~~' `--|2 |\n",
+       "     |  .--.    .~~.  2 `--'\n",
+       "     |--|0 |~~~~┊1 ┊)\n",
+       "     |  `--'  2 `~~'\n",
+       "     |  .--.    .~~.  2\n",
+       "     |--|0 |~~~~┊2 ┊)\n",
+       "     |  `--'  3 `~~'\n",
+       "     |  .--.    .~~.  2 .--.\n",
+       "     |--|1 |~~~~┊0 ┊-+--|0 |\n",
+       "     |  `--'  4 `~~' `--|2 |\n",
+       "     |  .--.    .~~.  4 |--|\n",
+       "     |--|1 |~~~~┊1 ┊----|0 |\n",
+       "     |  `--'  5 `~~'  5 `--'\n",
+       "     |  .--.    .~~.\n",
+       "     `--|1 |~~~~┊2 ┊)\n",
+       "      6 `--'  6 `~~'\n",
+       ".~~.    .--.    .~~.  5\n",
+       "┊1 ┊-+--|1 |~~~~┊0 ┊)\n",
+       "`~~' |  `--'  7 `~~'\n",
+       ".~~. |  .--.    .~~.  5 .--.\n",
+       "┊2 ┊)|--|1 |~~~~┊1 ┊-+--|0 |\n",
+       "`~~' |  `--'  8 `~~' |--|1 |\n",
+       "     |               `--|2 |\n",
+       "     |  .--.    .~~.  8 `--'\n",
+       "     `--|1 |~~~~┊2 ┊)\n",
+       "      9 `--'  9 `~~'  8"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "text/markdown": [
+       "# C-S-DC-S"
+      ],
+      "text/plain": [
+       "<IPython.core.display.Markdown object>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "image/svg+xml": [
+       "<svg xmlns=\"http://www.w3.org/2000/svg\" width=\"240\" height=\"320\">\n",
+       "    <style>line, path, circle,rect,polygon {\n",
+       "                          stroke: black;\n",
+       "                          stroke-width: 2;\n",
+       "                          stroke-opacity: 1;\n",
+       "                          fill-opacity: 1;\n",
+       "                          stroke-linecap: round;\n",
+       "                          stroke-linejoin: miter;\n",
+       "                        }\n",
+       "\n",
+       "                    text {\n",
+       "                        /* This fix the spacing bug in svg text*/\n",
+       "                        white-space: pre;\n",
+       "                        fill: black;\n",
+       "                        }\n",
+       "                        rect.backdrop{\n",
+       "                            stroke: none;\n",
+       "                            fill: white;\n",
+       "                        }\n",
+       "                        .broken{\n",
+       "                            stroke-dasharray: 8;\n",
+       "                        }\n",
+       "                        .filled{\n",
+       "                            fill: black;\n",
+       "                        }\n",
+       "                        .bg_filled{\n",
+       "                            fill: white;\n",
+       "                        }\n",
+       "                        .nofill{\n",
+       "                            fill: white;\n",
+       "                        }\n",
+       "\n",
+       "                        text {\n",
+       "                         font-family: monospace;\n",
+       "                         font-size: 14px;\n",
+       "                        }\n",
+       "\n",
+       "                        .end_marked_arrow{\n",
+       "                            marker-end: url(#arrow);\n",
+       "                         }\n",
+       "                        .start_marked_arrow{\n",
+       "                            marker-start: url(#arrow);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_diamond{\n",
+       "                            marker-end: url(#diamond);\n",
+       "                         }\n",
+       "                        .start_marked_diamond{\n",
+       "                            marker-start: url(#diamond);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_circle{\n",
+       "                            marker-end: url(#circle);\n",
+       "                         }\n",
+       "                        .start_marked_circle{\n",
+       "                            marker-start: url(#circle);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_open_circle{\n",
+       "                            marker-end: url(#open_circle);\n",
+       "                         }\n",
+       "                        .start_marked_open_circle{\n",
+       "                            marker-start: url(#open_circle);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_big_open_circle{\n",
+       "                            marker-end: url(#big_open_circle);\n",
+       "                         }\n",
+       "                        .start_marked_big_open_circle{\n",
+       "                            marker-start: url(#big_open_circle);\n",
+       "                         }\n",
+       "\n",
+       "                         \n",
+       "                        </style>\n",
+       "    <defs>\n",
+       "        <marker id=\"arrow\" viewBox=\"-2 -2 8 8\" refX=\"4\" refY=\"2\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <polygon points=\"0,0 0,4 4,2 0,0\"></polygon>\n",
+       "        </marker>\n",
+       "        <marker id=\"diamond\" viewBox=\"-2 -2 8 8\" refX=\"4\" refY=\"2\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <polygon points=\"0,2 2,0 4,2 2,4 0,2\"></polygon>\n",
+       "        </marker>\n",
+       "        <marker id=\"circle\" viewBox=\"0 0 8 8\" refX=\"4\" refY=\"4\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <circle cx=\"4\" cy=\"4\" r=\"2\" class=\"filled\"></circle>\n",
+       "        </marker>\n",
+       "        <marker id=\"open_circle\" viewBox=\"0 0 8 8\" refX=\"4\" refY=\"4\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <circle cx=\"4\" cy=\"4\" r=\"2\" class=\"bg_filled\"></circle>\n",
+       "        </marker>\n",
+       "        <marker id=\"big_open_circle\" viewBox=\"0 0 8 8\" refX=\"4\" refY=\"4\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <circle cx=\"4\" cy=\"4\" r=\"3\" class=\"bg_filled\"></circle>\n",
+       "        </marker>\n",
+       "    </defs>\n",
+       "    <rect x=\"4\" y=\"8\" width=\"32\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"10\" y=\"28\" >i0</text>\n",
+       "    <rect x=\"68\" y=\"8\" width=\"32\" height=\"32\" class=\"solid nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"74\" y=\"28\" >i1</text>\n",
+       "    <rect x=\"132\" y=\"8\" width=\"32\" height=\"32\" class=\"solid nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"138\" y=\"28\" >i2</text>\n",
+       "    <rect x=\"196\" y=\"8\" width=\"32\" height=\"32\" class=\"solid nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"202\" y=\"28\" >i3</text>\n",
+       "    <rect x=\"4\" y=\"72\" width=\"24\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"10\" y=\"92\" >0</text>\n",
+       "    <rect x=\"4\" y=\"216\" width=\"24\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"10\" y=\"236\" >1</text>\n",
+       "    <text x=\"42\" y=\"28\" >p0</text>\n",
+       "    <text x=\"106\" y=\"28\" >p1</text>\n",
+       "    <text x=\"170\" y=\"28\" >p2</text>\n",
+       "    <line x1=\"0\" y1=\"54\" x2=\"232\" y2=\"54\" class=\"solid\"></line>\n",
+       "    <line x1=\"0\" y1=\"58\" x2=\"232\" y2=\"58\" class=\"solid\"></line>\n",
+       "    <text x=\"50\" y=\"76\" >0</text>\n",
+       "    <text x=\"114\" y=\"76\" >0</text>\n",
+       "    <text x=\"178\" y=\"76\" >0</text>\n",
+       "    <text x=\"74\" y=\"92\" >0</text>\n",
+       "    <text x=\"138\" y=\"92\" >0</text>\n",
+       "    <text x=\"202\" y=\"92\" >1</text>\n",
+       "    <text x=\"114\" y=\"108\" >1</text>\n",
+       "    <text x=\"202\" y=\"108\" >2</text>\n",
+       "    <text x=\"178\" y=\"124\" >2</text>\n",
+       "    <text x=\"74\" y=\"140\" >1</text>\n",
+       "    <text x=\"138\" y=\"140\" >0</text>\n",
+       "    <text x=\"202\" y=\"140\" >0</text>\n",
+       "    <text x=\"114\" y=\"156\" >2</text>\n",
+       "    <text x=\"202\" y=\"156\" >2</text>\n",
+       "    <text x=\"178\" y=\"172\" >4</text>\n",
+       "    <text x=\"74\" y=\"188\" >1</text>\n",
+       "    <text x=\"138\" y=\"188\" >1</text>\n",
+       "    <text x=\"202\" y=\"188\" >0</text>\n",
+       "    <text x=\"50\" y=\"204\" >3</text>\n",
+       "    <text x=\"114\" y=\"204\" >3</text>\n",
+       "    <text x=\"178\" y=\"204\" >5</text>\n",
+       "    <text x=\"74\" y=\"236\" >1</text>\n",
+       "    <text x=\"138\" y=\"236\" >1</text>\n",
+       "    <text x=\"202\" y=\"236\" >0</text>\n",
+       "    <text x=\"50\" y=\"252\" >4</text>\n",
+       "    <text x=\"114\" y=\"252\" >4</text>\n",
+       "    <text x=\"202\" y=\"252\" >1</text>\n",
+       "    <text x=\"202\" y=\"268\" >2</text>\n",
+       "    <text x=\"10\" y=\"284\" >2</text>\n",
+       "    <text x=\"178\" y=\"284\" >8</text>\n",
+       "    <text x=\"50\" y=\"300\" >4</text>\n",
+       "    <g>\n",
+       "        <path d=\"M 72,72 A 4,4 0,0,0 68,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"68\" y1=\"76\" x2=\"68\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"72\" y1=\"72\" x2=\"88\" y2=\"72\" class=\"solid\"></line>\n",
+       "        <path d=\"M 88,72 A 4,4 0,0,1 92,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"92\" y1=\"76\" x2=\"92\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"32\" y1=\"88\" x2=\"68\" y2=\"88\" class=\"solid\"></line>\n",
+       "        <line x1=\"44\" y1=\"88\" x2=\"44\" y2=\"180\" class=\"solid\"></line>\n",
+       "        <path d=\"M 68,100 A 4,4 0,0,0 72,104\" class=\"nofill\"></path>\n",
+       "        <line x1=\"72\" y1=\"104\" x2=\"88\" y2=\"104\" class=\"solid\"></line>\n",
+       "        <path d=\"M 92,100 A 4,4 0,0,1 88,104\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 44,180 A 4,4 0,0,0 48,184\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 136,72 A 4,4 0,0,0 132,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"76\" x2=\"132\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"136\" y1=\"72\" x2=\"152\" y2=\"72\" class=\"solid\"></line>\n",
+       "        <path d=\"M 152,72 A 4,4 0,0,1 156,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"76\" x2=\"156\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"92\" y1=\"88\" x2=\"132\" y2=\"88\" class=\"broken\"></line>\n",
+       "        <path d=\"M 132,100 A 4,4 0,0,0 136,104\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"104\" x2=\"152\" y2=\"104\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,100 A 4,4 0,0,1 152,104\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 200,72 A 4,4 0,0,0 196,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"76\" x2=\"196\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"72\" x2=\"216\" y2=\"72\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,72 A 4,4 0,0,1 220,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"76\" x2=\"220\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <line x1=\"156\" y1=\"88\" x2=\"196\" y2=\"88\" class=\"solid\"></line>\n",
+       "        <line x1=\"172\" y1=\"88\" x2=\"172\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <path d=\"M 172,100 A 4,4 0,0,0 176,104\" class=\"nofill\"></path>\n",
+       "        <line x1=\"176\" y1=\"104\" x2=\"196\" y2=\"104\" class=\"solid\"></line>\n",
+       "        <line x1=\"196\" y1=\"120\" x2=\"220\" y2=\"120\" class=\"solid\"></line>\n",
+       "        <line x1=\"196\" y1=\"168\" x2=\"220\" y2=\"168\" class=\"solid\"></line>\n",
+       "        <path d=\"M 196,196 A 4,4 0,0,0 200,200\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"200\" x2=\"216\" y2=\"200\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,196 A 4,4 0,0,1 216,200\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 72,120 A 4,4 0,0,0 68,124\" class=\"nofill\"></path>\n",
+       "        <line x1=\"68\" y1=\"124\" x2=\"68\" y2=\"148\" class=\"solid\"></line>\n",
+       "        <line x1=\"72\" y1=\"120\" x2=\"88\" y2=\"120\" class=\"solid\"></line>\n",
+       "        <path d=\"M 88,120 A 4,4 0,0,1 92,124\" class=\"nofill\"></path>\n",
+       "        <line x1=\"92\" y1=\"124\" x2=\"92\" y2=\"148\" class=\"solid\"></line>\n",
+       "        <line x1=\"44\" y1=\"136\" x2=\"68\" y2=\"136\" class=\"solid\"></line>\n",
+       "        <path d=\"M 68,148 A 4,4 0,0,0 72,152\" class=\"nofill\"></path>\n",
+       "        <line x1=\"72\" y1=\"152\" x2=\"88\" y2=\"152\" class=\"solid\"></line>\n",
+       "        <path d=\"M 92,148 A 4,4 0,0,1 88,152\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 136,120 A 4,4 0,0,0 132,124\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"124\" x2=\"132\" y2=\"148\" class=\"solid\"></line>\n",
+       "        <line x1=\"136\" y1=\"120\" x2=\"152\" y2=\"120\" class=\"solid\"></line>\n",
+       "        <path d=\"M 152,120 A 4,4 0,0,1 156,124\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"124\" x2=\"156\" y2=\"148\" class=\"solid\"></line>\n",
+       "        <line x1=\"92\" y1=\"136\" x2=\"132\" y2=\"136\" class=\"broken\"></line>\n",
+       "        <line x1=\"156\" y1=\"136\" x2=\"196\" y2=\"136\" class=\"solid\"></line>\n",
+       "        <line x1=\"172\" y1=\"136\" x2=\"172\" y2=\"148\" class=\"solid\"></line>\n",
+       "        <path d=\"M 132,148 A 4,4 0,0,0 136,152\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"152\" x2=\"152\" y2=\"152\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,148 A 4,4 0,0,1 152,152\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 172,148 A 4,4 0,0,0 176,152\" class=\"nofill\"></path>\n",
+       "        <line x1=\"176\" y1=\"152\" x2=\"196\" y2=\"152\" class=\"solid\"></line>\n",
+       "        <path d=\"M 72,168 A 4,4 0,0,0 68,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"68\" y1=\"172\" x2=\"68\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <line x1=\"72\" y1=\"168\" x2=\"88\" y2=\"168\" class=\"solid\"></line>\n",
+       "        <path d=\"M 88,168 A 4,4 0,0,1 92,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"92\" y1=\"172\" x2=\"92\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <line x1=\"48\" y1=\"184\" x2=\"68\" y2=\"184\" class=\"solid\"></line>\n",
+       "        <path d=\"M 68,196 A 4,4 0,0,0 72,200\" class=\"nofill\"></path>\n",
+       "        <line x1=\"72\" y1=\"200\" x2=\"88\" y2=\"200\" class=\"solid\"></line>\n",
+       "        <path d=\"M 92,196 A 4,4 0,0,1 88,200\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 136,168 A 4,4 0,0,0 132,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"172\" x2=\"132\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <line x1=\"136\" y1=\"168\" x2=\"152\" y2=\"168\" class=\"solid\"></line>\n",
+       "        <path d=\"M 152,168 A 4,4 0,0,1 156,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"172\" x2=\"156\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <line x1=\"92\" y1=\"184\" x2=\"132\" y2=\"184\" class=\"broken\"></line>\n",
+       "        <line x1=\"156\" y1=\"184\" x2=\"196\" y2=\"184\" class=\"solid\"></line>\n",
+       "        <path d=\"M 132,196 A 4,4 0,0,0 136,200\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"200\" x2=\"152\" y2=\"200\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,196 A 4,4 0,0,1 152,200\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 72,216 A 4,4 0,0,0 68,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"68\" y1=\"220\" x2=\"68\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <line x1=\"72\" y1=\"216\" x2=\"88\" y2=\"216\" class=\"solid\"></line>\n",
+       "        <path d=\"M 88,216 A 4,4 0,0,1 92,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"92\" y1=\"220\" x2=\"92\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <line x1=\"32\" y1=\"232\" x2=\"68\" y2=\"232\" class=\"solid\"></line>\n",
+       "        <path d=\"M 68,244 A 4,4 0,0,0 72,248\" class=\"nofill\"></path>\n",
+       "        <line x1=\"72\" y1=\"248\" x2=\"88\" y2=\"248\" class=\"solid\"></line>\n",
+       "        <path d=\"M 92,244 A 4,4 0,0,1 88,248\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 136,216 A 4,4 0,0,0 132,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"220\" x2=\"132\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <line x1=\"136\" y1=\"216\" x2=\"152\" y2=\"216\" class=\"solid\"></line>\n",
+       "        <path d=\"M 152,216 A 4,4 0,0,1 156,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"220\" x2=\"156\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <line x1=\"92\" y1=\"232\" x2=\"132\" y2=\"232\" class=\"broken\"></line>\n",
+       "        <path d=\"M 132,244 A 4,4 0,0,0 136,248\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"248\" x2=\"152\" y2=\"248\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,244 A 4,4 0,0,1 152,248\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 200,216 A 4,4 0,0,0 196,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"220\" x2=\"196\" y2=\"276\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"216\" x2=\"216\" y2=\"216\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,216 A 4,4 0,0,1 220,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"220\" x2=\"220\" y2=\"276\" class=\"solid\"></line>\n",
+       "        <line x1=\"156\" y1=\"232\" x2=\"196\" y2=\"232\" class=\"solid\"></line>\n",
+       "        <line x1=\"172\" y1=\"232\" x2=\"172\" y2=\"260\" class=\"solid\"></line>\n",
+       "        <line x1=\"172\" y1=\"248\" x2=\"196\" y2=\"248\" class=\"solid\"></line>\n",
+       "        <path d=\"M 172,260 A 4,4 0,0,0 176,264\" class=\"nofill\"></path>\n",
+       "        <line x1=\"176\" y1=\"264\" x2=\"196\" y2=\"264\" class=\"solid\"></line>\n",
+       "        <path d=\"M 196,276 A 4,4 0,0,0 200,280\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"280\" x2=\"216\" y2=\"280\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,276 A 4,4 0,0,1 216,280\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 8,264 A 4,4 0,0,0 4,268\" class=\"nofill\"></path>\n",
+       "        <line x1=\"4\" y1=\"268\" x2=\"4\" y2=\"292\" class=\"broken\"></line>\n",
+       "        <line x1=\"8\" y1=\"264\" x2=\"24\" y2=\"264\" class=\"broken\"></line>\n",
+       "        <path d=\"M 24,264 A 4,4 0,0,1 28,268\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 24,264 A 8,8 0,0,1 30,268\" class=\"nofill\"></path>\n",
+       "        <line x1=\"28\" y1=\"268\" x2=\"28\" y2=\"292\" class=\"broken\"></line>\n",
+       "        <line x1=\"30\" y1=\"268\" x2=\"32\" y2=\"272\" class=\"solid\"></line>\n",
+       "        <path d=\"M 32,272 A 16,16 0,0,1 32,288\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 4,292 A 4,4 0,0,0 8,296\" class=\"nofill\"></path>\n",
+       "        <line x1=\"8\" y1=\"296\" x2=\"24\" y2=\"296\" class=\"broken\"></line>\n",
+       "        <line x1=\"32\" y1=\"288\" x2=\"30\" y2=\"292\" class=\"solid\"></line>\n",
+       "        <path d=\"M 28,292 A 4,4 0,0,1 24,296\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 30,292 A 8,8 0,0,1 24,296\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "</svg>"
+      ],
+      "text/plain": [
+       ".~~~.   .---.   .---.   .---.\n",
+       "┊i0 ┊p0 |i1 |p1 |i2 |p2 |i3 |\n",
+       "`~~~'   `---'   `---'   `---'\n",
+       "=============================\n",
+       ".~~.  0 .--.  0 .--.  0 .--.\n",
+       "┊0 ┊-+--|0 |~~~~|0 |-+--|1 |\n",
+       "`~~' |  `--'  1 `--' `--|2 |\n",
+       "     |  .--.    .--.  2 |--|\n",
+       "     |--|1 |~~~~|0 |-+--|0 |\n",
+       "     |  `--'  2 `--' `--|2 |\n",
+       "     |  .--.    .--.  4 |--|\n",
+       "     `--|1 |~~~~|1 |----|0 |\n",
+       "      3 `--'  3 `--'  5 `--'\n",
+       ".~~.    .--.    .--.    .--.\n",
+       "┊1 ┊----|1 |~~~~|1 |-+--|0 |\n",
+       "`~~'  4 `--'  4 `--' |--|1 |\n",
+       ".~~.                 `--|2 |\n",
+       "┊2 ┊)                 8 `--'\n",
+       "`~~'  4"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "text/markdown": [
+       "# C-C-S-S"
+      ],
+      "text/plain": [
+       "<IPython.core.display.Markdown object>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "image/svg+xml": [
+       "<svg xmlns=\"http://www.w3.org/2000/svg\" width=\"240\" height=\"560\">\n",
+       "    <style>line, path, circle,rect,polygon {\n",
+       "                          stroke: black;\n",
+       "                          stroke-width: 2;\n",
+       "                          stroke-opacity: 1;\n",
+       "                          fill-opacity: 1;\n",
+       "                          stroke-linecap: round;\n",
+       "                          stroke-linejoin: miter;\n",
+       "                        }\n",
+       "\n",
+       "                    text {\n",
+       "                        /* This fix the spacing bug in svg text*/\n",
+       "                        white-space: pre;\n",
+       "                        fill: black;\n",
+       "                        }\n",
+       "                        rect.backdrop{\n",
+       "                            stroke: none;\n",
+       "                            fill: white;\n",
+       "                        }\n",
+       "                        .broken{\n",
+       "                            stroke-dasharray: 8;\n",
+       "                        }\n",
+       "                        .filled{\n",
+       "                            fill: black;\n",
+       "                        }\n",
+       "                        .bg_filled{\n",
+       "                            fill: white;\n",
+       "                        }\n",
+       "                        .nofill{\n",
+       "                            fill: white;\n",
+       "                        }\n",
+       "\n",
+       "                        text {\n",
+       "                         font-family: monospace;\n",
+       "                         font-size: 14px;\n",
+       "                        }\n",
+       "\n",
+       "                        .end_marked_arrow{\n",
+       "                            marker-end: url(#arrow);\n",
+       "                         }\n",
+       "                        .start_marked_arrow{\n",
+       "                            marker-start: url(#arrow);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_diamond{\n",
+       "                            marker-end: url(#diamond);\n",
+       "                         }\n",
+       "                        .start_marked_diamond{\n",
+       "                            marker-start: url(#diamond);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_circle{\n",
+       "                            marker-end: url(#circle);\n",
+       "                         }\n",
+       "                        .start_marked_circle{\n",
+       "                            marker-start: url(#circle);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_open_circle{\n",
+       "                            marker-end: url(#open_circle);\n",
+       "                         }\n",
+       "                        .start_marked_open_circle{\n",
+       "                            marker-start: url(#open_circle);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_big_open_circle{\n",
+       "                            marker-end: url(#big_open_circle);\n",
+       "                         }\n",
+       "                        .start_marked_big_open_circle{\n",
+       "                            marker-start: url(#big_open_circle);\n",
+       "                         }\n",
+       "\n",
+       "                         \n",
+       "                        </style>\n",
+       "    <defs>\n",
+       "        <marker id=\"arrow\" viewBox=\"-2 -2 8 8\" refX=\"4\" refY=\"2\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <polygon points=\"0,0 0,4 4,2 0,0\"></polygon>\n",
+       "        </marker>\n",
+       "        <marker id=\"diamond\" viewBox=\"-2 -2 8 8\" refX=\"4\" refY=\"2\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <polygon points=\"0,2 2,0 4,2 2,4 0,2\"></polygon>\n",
+       "        </marker>\n",
+       "        <marker id=\"circle\" viewBox=\"0 0 8 8\" refX=\"4\" refY=\"4\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <circle cx=\"4\" cy=\"4\" r=\"2\" class=\"filled\"></circle>\n",
+       "        </marker>\n",
+       "        <marker id=\"open_circle\" viewBox=\"0 0 8 8\" refX=\"4\" refY=\"4\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <circle cx=\"4\" cy=\"4\" r=\"2\" class=\"bg_filled\"></circle>\n",
+       "        </marker>\n",
+       "        <marker id=\"big_open_circle\" viewBox=\"0 0 8 8\" refX=\"4\" refY=\"4\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <circle cx=\"4\" cy=\"4\" r=\"3\" class=\"bg_filled\"></circle>\n",
+       "        </marker>\n",
+       "    </defs>\n",
+       "    <rect x=\"4\" y=\"8\" width=\"32\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"10\" y=\"28\" >i0</text>\n",
+       "    <rect x=\"68\" y=\"8\" width=\"32\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"74\" y=\"28\" >i1</text>\n",
+       "    <rect x=\"132\" y=\"8\" width=\"32\" height=\"32\" class=\"solid nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"138\" y=\"28\" >i2</text>\n",
+       "    <rect x=\"196\" y=\"8\" width=\"32\" height=\"32\" class=\"solid nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"202\" y=\"28\" >i3</text>\n",
+       "    <rect x=\"4\" y=\"72\" width=\"24\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"10\" y=\"92\" >0</text>\n",
+       "    <rect x=\"68\" y=\"72\" width=\"24\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"74\" y=\"92\" >0</text>\n",
+       "    <rect x=\"68\" y=\"168\" width=\"24\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"74\" y=\"188\" >1</text>\n",
+       "    <rect x=\"4\" y=\"264\" width=\"24\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"10\" y=\"284\" >1</text>\n",
+       "    <rect x=\"68\" y=\"312\" width=\"24\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"74\" y=\"332\" >1</text>\n",
+       "    <rect x=\"4\" y=\"408\" width=\"24\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"10\" y=\"428\" >2</text>\n",
+       "    <text x=\"42\" y=\"28\" >p0</text>\n",
+       "    <text x=\"106\" y=\"28\" >p1</text>\n",
+       "    <text x=\"170\" y=\"28\" >p2</text>\n",
+       "    <line x1=\"0\" y1=\"54\" x2=\"232\" y2=\"54\" class=\"solid\"></line>\n",
+       "    <line x1=\"0\" y1=\"58\" x2=\"232\" y2=\"58\" class=\"solid\"></line>\n",
+       "    <text x=\"50\" y=\"76\" >0</text>\n",
+       "    <text x=\"114\" y=\"76\" >0</text>\n",
+       "    <text x=\"178\" y=\"76\" >0</text>\n",
+       "    <text x=\"138\" y=\"92\" >0</text>\n",
+       "    <text x=\"202\" y=\"92\" >1</text>\n",
+       "    <text x=\"178\" y=\"108\" >1</text>\n",
+       "    <text x=\"138\" y=\"140\" >0</text>\n",
+       "    <text x=\"202\" y=\"140\" >2</text>\n",
+       "    <text x=\"114\" y=\"156\" >2</text>\n",
+       "    <text x=\"178\" y=\"156\" >2</text>\n",
+       "    <line x1=\"48\" y1=\"184\" x2=\"64\" y2=\"184\" class=\"broken\"></line>\n",
+       "    <text x=\"138\" y=\"188\" >0</text>\n",
+       "    <text x=\"202\" y=\"188\" >0</text>\n",
+       "    <text x=\"178\" y=\"204\" >3</text>\n",
+       "    <text x=\"74\" y=\"236\" >2</text>\n",
+       "    <text x=\"138\" y=\"236\" >0</text>\n",
+       "    <text x=\"202\" y=\"236\" >2</text>\n",
+       "    <text x=\"50\" y=\"252\" >3</text>\n",
+       "    <text x=\"178\" y=\"252\" >4</text>\n",
+       "    <text x=\"74\" y=\"284\" >0</text>\n",
+       "    <text x=\"138\" y=\"284\" >1</text>\n",
+       "    <text x=\"202\" y=\"284\" >0</text>\n",
+       "    <text x=\"114\" y=\"300\" >5</text>\n",
+       "    <text x=\"178\" y=\"300\" >5</text>\n",
+       "    <text x=\"114\" y=\"316\" >5</text>\n",
+       "    <line x1=\"48\" y1=\"328\" x2=\"64\" y2=\"328\" class=\"broken\"></line>\n",
+       "    <text x=\"138\" y=\"332\" >1</text>\n",
+       "    <text x=\"202\" y=\"332\" >0</text>\n",
+       "    <text x=\"178\" y=\"348\" >6</text>\n",
+       "    <text x=\"74\" y=\"380\" >2</text>\n",
+       "    <text x=\"138\" y=\"380\" >1</text>\n",
+       "    <text x=\"202\" y=\"380\" >1</text>\n",
+       "    <text x=\"50\" y=\"396\" >6</text>\n",
+       "    <text x=\"178\" y=\"396\" >7</text>\n",
+       "    <text x=\"74\" y=\"428\" >0</text>\n",
+       "    <text x=\"138\" y=\"428\" >1</text>\n",
+       "    <text x=\"202\" y=\"428\" >2</text>\n",
+       "    <text x=\"114\" y=\"444\" >8</text>\n",
+       "    <text x=\"178\" y=\"444\" >8</text>\n",
+       "    <text x=\"114\" y=\"460\" >8</text>\n",
+       "    <line x1=\"48\" y1=\"472\" x2=\"64\" y2=\"472\" class=\"broken\"></line>\n",
+       "    <text x=\"74\" y=\"476\" >1</text>\n",
+       "    <text x=\"74\" y=\"524\" >2</text>\n",
+       "    <text x=\"50\" y=\"540\" >9</text>\n",
+       "    <text x=\"114\" y=\"508\" >8</text>\n",
+       "    <text x=\"114\" y=\"540\" >8</text>\n",
+       "    <g>\n",
+       "        <path d=\"M 136,72 A 4,4 0,0,0 132,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"76\" x2=\"132\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"136\" y1=\"72\" x2=\"152\" y2=\"72\" class=\"solid\"></line>\n",
+       "        <path d=\"M 152,72 A 4,4 0,0,1 156,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"76\" x2=\"156\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"96\" y1=\"88\" x2=\"132\" y2=\"88\" class=\"solid\"></line>\n",
+       "        <line x1=\"108\" y1=\"88\" x2=\"108\" y2=\"132\" class=\"solid\"></line>\n",
+       "        <path d=\"M 132,100 A 4,4 0,0,0 136,104\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"104\" x2=\"152\" y2=\"104\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,100 A 4,4 0,0,1 152,104\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 108,132 A 4,4 0,0,0 112,136\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 200,72 A 4,4 0,0,0 196,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"76\" x2=\"196\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"72\" x2=\"216\" y2=\"72\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,72 A 4,4 0,0,1 220,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"76\" x2=\"220\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"156\" y1=\"88\" x2=\"196\" y2=\"88\" class=\"broken\"></line>\n",
+       "        <path d=\"M 196,100 A 4,4 0,0,0 200,104\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"104\" x2=\"216\" y2=\"104\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,100 A 4,4 0,0,1 216,104\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 136,120 A 4,4 0,0,0 132,124\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"124\" x2=\"132\" y2=\"148\" class=\"solid\"></line>\n",
+       "        <line x1=\"136\" y1=\"120\" x2=\"152\" y2=\"120\" class=\"solid\"></line>\n",
+       "        <path d=\"M 152,120 A 4,4 0,0,1 156,124\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"124\" x2=\"156\" y2=\"148\" class=\"solid\"></line>\n",
+       "        <line x1=\"112\" y1=\"136\" x2=\"132\" y2=\"136\" class=\"solid\"></line>\n",
+       "        <path d=\"M 132,148 A 4,4 0,0,0 136,152\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"152\" x2=\"152\" y2=\"152\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,148 A 4,4 0,0,1 152,152\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 200,120 A 4,4 0,0,0 196,124\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"124\" x2=\"196\" y2=\"148\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"120\" x2=\"216\" y2=\"120\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,120 A 4,4 0,0,1 220,124\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"124\" x2=\"220\" y2=\"148\" class=\"solid\"></line>\n",
+       "        <line x1=\"156\" y1=\"136\" x2=\"196\" y2=\"136\" class=\"broken\"></line>\n",
+       "        <path d=\"M 196,148 A 4,4 0,0,0 200,152\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"152\" x2=\"216\" y2=\"152\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,148 A 4,4 0,0,1 216,152\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <line x1=\"32\" y1=\"88\" x2=\"64\" y2=\"88\" class=\"broken\"></line>\n",
+       "        <line x1=\"44\" y1=\"88\" x2=\"44\" y2=\"228\" class=\"broken\"></line>\n",
+       "        <path d=\"M 44,228 A 4,4 0,0,0 48,232\" class=\"nofill\"></path>\n",
+       "        <line x1=\"48\" y1=\"232\" x2=\"64\" y2=\"232\" class=\"broken\"></line>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 136,168 A 4,4 0,0,0 132,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"172\" x2=\"132\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <line x1=\"136\" y1=\"168\" x2=\"152\" y2=\"168\" class=\"solid\"></line>\n",
+       "        <path d=\"M 152,168 A 4,4 0,0,1 156,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"172\" x2=\"156\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <line x1=\"96\" y1=\"184\" x2=\"132\" y2=\"184\" class=\"solid\"></line>\n",
+       "        <line x1=\"108\" y1=\"184\" x2=\"108\" y2=\"276\" class=\"solid\"></line>\n",
+       "        <path d=\"M 132,196 A 4,4 0,0,0 136,200\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"200\" x2=\"152\" y2=\"200\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,196 A 4,4 0,0,1 152,200\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 108,276 A 4,4 0,0,0 112,280\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 200,168 A 4,4 0,0,0 196,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"172\" x2=\"196\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"168\" x2=\"216\" y2=\"168\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,168 A 4,4 0,0,1 220,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"172\" x2=\"220\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <line x1=\"156\" y1=\"184\" x2=\"196\" y2=\"184\" class=\"broken\"></line>\n",
+       "        <path d=\"M 196,196 A 4,4 0,0,0 200,200\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"200\" x2=\"216\" y2=\"200\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,196 A 4,4 0,0,1 216,200\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 136,216 A 4,4 0,0,0 132,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"220\" x2=\"132\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <line x1=\"136\" y1=\"216\" x2=\"152\" y2=\"216\" class=\"solid\"></line>\n",
+       "        <path d=\"M 152,216 A 4,4 0,0,1 156,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"220\" x2=\"156\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <line x1=\"108\" y1=\"232\" x2=\"132\" y2=\"232\" class=\"solid\"></line>\n",
+       "        <path d=\"M 132,244 A 4,4 0,0,0 136,248\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"248\" x2=\"152\" y2=\"248\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,244 A 4,4 0,0,1 152,248\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 200,216 A 4,4 0,0,0 196,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"220\" x2=\"196\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"216\" x2=\"216\" y2=\"216\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,216 A 4,4 0,0,1 220,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"220\" x2=\"220\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <line x1=\"156\" y1=\"232\" x2=\"196\" y2=\"232\" class=\"broken\"></line>\n",
+       "        <path d=\"M 196,244 A 4,4 0,0,0 200,248\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"248\" x2=\"216\" y2=\"248\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,244 A 4,4 0,0,1 216,248\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 136,264 A 4,4 0,0,0 132,268\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"268\" x2=\"132\" y2=\"292\" class=\"solid\"></line>\n",
+       "        <line x1=\"136\" y1=\"264\" x2=\"152\" y2=\"264\" class=\"solid\"></line>\n",
+       "        <path d=\"M 152,264 A 4,4 0,0,1 156,268\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"268\" x2=\"156\" y2=\"292\" class=\"solid\"></line>\n",
+       "        <line x1=\"112\" y1=\"280\" x2=\"132\" y2=\"280\" class=\"solid\"></line>\n",
+       "        <path d=\"M 132,292 A 4,4 0,0,0 136,296\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"296\" x2=\"152\" y2=\"296\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,292 A 4,4 0,0,1 152,296\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 200,264 A 4,4 0,0,0 196,268\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"268\" x2=\"196\" y2=\"292\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"264\" x2=\"216\" y2=\"264\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,264 A 4,4 0,0,1 220,268\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"268\" x2=\"220\" y2=\"292\" class=\"solid\"></line>\n",
+       "        <line x1=\"156\" y1=\"280\" x2=\"196\" y2=\"280\" class=\"broken\"></line>\n",
+       "        <path d=\"M 196,292 A 4,4 0,0,0 200,296\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"296\" x2=\"216\" y2=\"296\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,292 A 4,4 0,0,1 216,296\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 72,216 A 4,4 0,0,0 68,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"68\" y1=\"220\" x2=\"68\" y2=\"244\" class=\"broken\"></line>\n",
+       "        <line x1=\"72\" y1=\"216\" x2=\"88\" y2=\"216\" class=\"broken\"></line>\n",
+       "        <path d=\"M 88,216 A 4,4 0,0,1 92,220\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 88,216 A 8,8 0,0,1 94,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"92\" y1=\"220\" x2=\"92\" y2=\"244\" class=\"broken\"></line>\n",
+       "        <line x1=\"94\" y1=\"220\" x2=\"96\" y2=\"224\" class=\"solid\"></line>\n",
+       "        <path d=\"M 96,224 A 16,16 0,0,1 96,240\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 68,244 A 4,4 0,0,0 72,248\" class=\"nofill\"></path>\n",
+       "        <line x1=\"72\" y1=\"248\" x2=\"88\" y2=\"248\" class=\"broken\"></line>\n",
+       "        <line x1=\"96\" y1=\"240\" x2=\"94\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <path d=\"M 92,244 A 4,4 0,0,1 88,248\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 94,244 A 8,8 0,0,1 88,248\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 72,264 A 4,4 0,0,0 68,268\" class=\"nofill\"></path>\n",
+       "        <line x1=\"68\" y1=\"268\" x2=\"68\" y2=\"292\" class=\"broken\"></line>\n",
+       "        <line x1=\"72\" y1=\"264\" x2=\"88\" y2=\"264\" class=\"broken\"></line>\n",
+       "        <path d=\"M 88,264 A 4,4 0,0,1 92,268\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 88,264 A 8,8 0,0,1 94,268\" class=\"nofill\"></path>\n",
+       "        <line x1=\"92\" y1=\"268\" x2=\"92\" y2=\"292\" class=\"broken\"></line>\n",
+       "        <line x1=\"94\" y1=\"268\" x2=\"96\" y2=\"272\" class=\"solid\"></line>\n",
+       "        <path d=\"M 96,272 A 16,16 0,0,1 96,288\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 68,292 A 4,4 0,0,0 72,296\" class=\"nofill\"></path>\n",
+       "        <line x1=\"72\" y1=\"296\" x2=\"88\" y2=\"296\" class=\"broken\"></line>\n",
+       "        <line x1=\"96\" y1=\"288\" x2=\"94\" y2=\"292\" class=\"solid\"></line>\n",
+       "        <path d=\"M 92,292 A 4,4 0,0,1 88,296\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 94,292 A 8,8 0,0,1 88,296\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <line x1=\"32\" y1=\"280\" x2=\"64\" y2=\"280\" class=\"broken\"></line>\n",
+       "        <line x1=\"44\" y1=\"280\" x2=\"44\" y2=\"372\" class=\"broken\"></line>\n",
+       "        <path d=\"M 44,372 A 4,4 0,0,0 48,376\" class=\"nofill\"></path>\n",
+       "        <line x1=\"48\" y1=\"376\" x2=\"64\" y2=\"376\" class=\"broken\"></line>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 136,312 A 4,4 0,0,0 132,316\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"316\" x2=\"132\" y2=\"340\" class=\"solid\"></line>\n",
+       "        <line x1=\"136\" y1=\"312\" x2=\"152\" y2=\"312\" class=\"solid\"></line>\n",
+       "        <path d=\"M 152,312 A 4,4 0,0,1 156,316\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"316\" x2=\"156\" y2=\"340\" class=\"solid\"></line>\n",
+       "        <line x1=\"96\" y1=\"328\" x2=\"132\" y2=\"328\" class=\"solid\"></line>\n",
+       "        <line x1=\"108\" y1=\"328\" x2=\"108\" y2=\"420\" class=\"solid\"></line>\n",
+       "        <path d=\"M 132,340 A 4,4 0,0,0 136,344\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"344\" x2=\"152\" y2=\"344\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,340 A 4,4 0,0,1 152,344\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 108,420 A 4,4 0,0,0 112,424\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 200,312 A 4,4 0,0,0 196,316\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"316\" x2=\"196\" y2=\"340\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"312\" x2=\"216\" y2=\"312\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,312 A 4,4 0,0,1 220,316\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"316\" x2=\"220\" y2=\"340\" class=\"solid\"></line>\n",
+       "        <line x1=\"156\" y1=\"328\" x2=\"196\" y2=\"328\" class=\"broken\"></line>\n",
+       "        <path d=\"M 196,340 A 4,4 0,0,0 200,344\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"344\" x2=\"216\" y2=\"344\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,340 A 4,4 0,0,1 216,344\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 136,360 A 4,4 0,0,0 132,364\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"364\" x2=\"132\" y2=\"388\" class=\"solid\"></line>\n",
+       "        <line x1=\"136\" y1=\"360\" x2=\"152\" y2=\"360\" class=\"solid\"></line>\n",
+       "        <path d=\"M 152,360 A 4,4 0,0,1 156,364\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"364\" x2=\"156\" y2=\"388\" class=\"solid\"></line>\n",
+       "        <line x1=\"108\" y1=\"376\" x2=\"132\" y2=\"376\" class=\"solid\"></line>\n",
+       "        <path d=\"M 132,388 A 4,4 0,0,0 136,392\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"392\" x2=\"152\" y2=\"392\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,388 A 4,4 0,0,1 152,392\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 200,360 A 4,4 0,0,0 196,364\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"364\" x2=\"196\" y2=\"388\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"360\" x2=\"216\" y2=\"360\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,360 A 4,4 0,0,1 220,364\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"364\" x2=\"220\" y2=\"388\" class=\"solid\"></line>\n",
+       "        <line x1=\"156\" y1=\"376\" x2=\"196\" y2=\"376\" class=\"broken\"></line>\n",
+       "        <path d=\"M 196,388 A 4,4 0,0,0 200,392\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"392\" x2=\"216\" y2=\"392\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,388 A 4,4 0,0,1 216,392\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 136,408 A 4,4 0,0,0 132,412\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"412\" x2=\"132\" y2=\"436\" class=\"solid\"></line>\n",
+       "        <line x1=\"136\" y1=\"408\" x2=\"152\" y2=\"408\" class=\"solid\"></line>\n",
+       "        <path d=\"M 152,408 A 4,4 0,0,1 156,412\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"412\" x2=\"156\" y2=\"436\" class=\"solid\"></line>\n",
+       "        <line x1=\"112\" y1=\"424\" x2=\"132\" y2=\"424\" class=\"solid\"></line>\n",
+       "        <path d=\"M 132,436 A 4,4 0,0,0 136,440\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"440\" x2=\"152\" y2=\"440\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,436 A 4,4 0,0,1 152,440\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 200,408 A 4,4 0,0,0 196,412\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"412\" x2=\"196\" y2=\"436\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"408\" x2=\"216\" y2=\"408\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,408 A 4,4 0,0,1 220,412\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"412\" x2=\"220\" y2=\"436\" class=\"solid\"></line>\n",
+       "        <line x1=\"156\" y1=\"424\" x2=\"196\" y2=\"424\" class=\"broken\"></line>\n",
+       "        <path d=\"M 196,436 A 4,4 0,0,0 200,440\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"440\" x2=\"216\" y2=\"440\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,436 A 4,4 0,0,1 216,440\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 72,360 A 4,4 0,0,0 68,364\" class=\"nofill\"></path>\n",
+       "        <line x1=\"68\" y1=\"364\" x2=\"68\" y2=\"388\" class=\"broken\"></line>\n",
+       "        <line x1=\"72\" y1=\"360\" x2=\"88\" y2=\"360\" class=\"broken\"></line>\n",
+       "        <path d=\"M 88,360 A 4,4 0,0,1 92,364\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 88,360 A 8,8 0,0,1 94,364\" class=\"nofill\"></path>\n",
+       "        <line x1=\"92\" y1=\"364\" x2=\"92\" y2=\"388\" class=\"broken\"></line>\n",
+       "        <line x1=\"94\" y1=\"364\" x2=\"96\" y2=\"368\" class=\"solid\"></line>\n",
+       "        <path d=\"M 96,368 A 16,16 0,0,1 96,384\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 68,388 A 4,4 0,0,0 72,392\" class=\"nofill\"></path>\n",
+       "        <line x1=\"72\" y1=\"392\" x2=\"88\" y2=\"392\" class=\"broken\"></line>\n",
+       "        <line x1=\"96\" y1=\"384\" x2=\"94\" y2=\"388\" class=\"solid\"></line>\n",
+       "        <path d=\"M 92,388 A 4,4 0,0,1 88,392\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 94,388 A 8,8 0,0,1 88,392\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 72,408 A 4,4 0,0,0 68,412\" class=\"nofill\"></path>\n",
+       "        <line x1=\"68\" y1=\"412\" x2=\"68\" y2=\"436\" class=\"broken\"></line>\n",
+       "        <line x1=\"72\" y1=\"408\" x2=\"88\" y2=\"408\" class=\"broken\"></line>\n",
+       "        <path d=\"M 88,408 A 4,4 0,0,1 92,412\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 88,408 A 8,8 0,0,1 94,412\" class=\"nofill\"></path>\n",
+       "        <line x1=\"92\" y1=\"412\" x2=\"92\" y2=\"436\" class=\"broken\"></line>\n",
+       "        <line x1=\"94\" y1=\"412\" x2=\"96\" y2=\"416\" class=\"solid\"></line>\n",
+       "        <path d=\"M 96,416 A 16,16 0,0,1 96,432\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 68,436 A 4,4 0,0,0 72,440\" class=\"nofill\"></path>\n",
+       "        <line x1=\"72\" y1=\"440\" x2=\"88\" y2=\"440\" class=\"broken\"></line>\n",
+       "        <line x1=\"96\" y1=\"432\" x2=\"94\" y2=\"436\" class=\"solid\"></line>\n",
+       "        <path d=\"M 92,436 A 4,4 0,0,1 88,440\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 94,436 A 8,8 0,0,1 88,440\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <line x1=\"32\" y1=\"424\" x2=\"64\" y2=\"424\" class=\"broken\"></line>\n",
+       "        <line x1=\"44\" y1=\"424\" x2=\"44\" y2=\"516\" class=\"broken\"></line>\n",
+       "        <path d=\"M 44,516 A 4,4 0,0,0 48,520\" class=\"nofill\"></path>\n",
+       "        <line x1=\"48\" y1=\"520\" x2=\"64\" y2=\"520\" class=\"broken\"></line>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 72,456 A 4,4 0,0,0 68,460\" class=\"nofill\"></path>\n",
+       "        <line x1=\"68\" y1=\"460\" x2=\"68\" y2=\"484\" class=\"broken\"></line>\n",
+       "        <line x1=\"72\" y1=\"456\" x2=\"88\" y2=\"456\" class=\"broken\"></line>\n",
+       "        <path d=\"M 88,456 A 4,4 0,0,1 92,460\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 88,456 A 8,8 0,0,1 94,460\" class=\"nofill\"></path>\n",
+       "        <line x1=\"92\" y1=\"460\" x2=\"92\" y2=\"484\" class=\"broken\"></line>\n",
+       "        <line x1=\"94\" y1=\"460\" x2=\"96\" y2=\"464\" class=\"solid\"></line>\n",
+       "        <path d=\"M 96,464 A 16,16 0,0,1 96,480\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 68,484 A 4,4 0,0,0 72,488\" class=\"nofill\"></path>\n",
+       "        <line x1=\"72\" y1=\"488\" x2=\"88\" y2=\"488\" class=\"broken\"></line>\n",
+       "        <line x1=\"96\" y1=\"480\" x2=\"94\" y2=\"484\" class=\"solid\"></line>\n",
+       "        <path d=\"M 92,484 A 4,4 0,0,1 88,488\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 94,484 A 8,8 0,0,1 88,488\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 72,504 A 4,4 0,0,0 68,508\" class=\"nofill\"></path>\n",
+       "        <line x1=\"68\" y1=\"508\" x2=\"68\" y2=\"532\" class=\"broken\"></line>\n",
+       "        <line x1=\"72\" y1=\"504\" x2=\"88\" y2=\"504\" class=\"broken\"></line>\n",
+       "        <path d=\"M 88,504 A 4,4 0,0,1 92,508\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 88,504 A 8,8 0,0,1 94,508\" class=\"nofill\"></path>\n",
+       "        <line x1=\"92\" y1=\"508\" x2=\"92\" y2=\"532\" class=\"broken\"></line>\n",
+       "        <line x1=\"94\" y1=\"508\" x2=\"96\" y2=\"512\" class=\"solid\"></line>\n",
+       "        <path d=\"M 96,512 A 16,16 0,0,1 96,528\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 68,532 A 4,4 0,0,0 72,536\" class=\"nofill\"></path>\n",
+       "        <line x1=\"72\" y1=\"536\" x2=\"88\" y2=\"536\" class=\"broken\"></line>\n",
+       "        <line x1=\"96\" y1=\"528\" x2=\"94\" y2=\"532\" class=\"solid\"></line>\n",
+       "        <path d=\"M 92,532 A 4,4 0,0,1 88,536\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 94,532 A 8,8 0,0,1 88,536\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "</svg>"
+      ],
+      "text/plain": [
+       ".~~~.   .~~~.   .---.   .---.\n",
+       "┊i0 ┊p0 ┊i1 ┊p1 |i2 |p2 |i3 |\n",
+       "`~~~'   `~~~'   `---'   `---'\n",
+       "=============================\n",
+       ".~~.  0 .~~.  0 .--.  0 .--.\n",
+       "┊0 ┊~+~~┊0 ┊-+--|0 |~~~~|1 |\n",
+       "`~~' ┊  `~~' |  `--'  1 `--'\n",
+       "     ┊       |  .--.    .--.\n",
+       "     ┊       `--|0 |~~~~|2 |\n",
+       "     ┊        2 `--'  2 `--'\n",
+       "     ┊  .~~.    .--.    .--.\n",
+       "     ┊~~┊1 ┊-+--|0 |~~~~|0 |\n",
+       "     ┊  `~~' |  `--'  3 `--'\n",
+       "     ┊  .~~. |  .--.    .--.\n",
+       "     `~~┊2 ┊)|--|0 |~~~~|2 |\n",
+       "      3 `~~' |  `--'  4 `--'\n",
+       ".~~.    .~~. |  .--.    .--.\n",
+       "┊1 ┊~+~~┊0 ┊)`--|1 |~~~~|0 |\n",
+       "`~~' ┊  `~~'  5 `--'  5 `--'\n",
+       "     ┊  .~~.  5 .--.    .--.\n",
+       "     ┊~~┊1 ┊-+--|1 |~~~~|0 |\n",
+       "     ┊  `~~' |  `--'  6 `--'\n",
+       "     ┊  .~~. |  .--.    .--.\n",
+       "     `~~┊2 ┊)|--|1 |~~~~|1 |\n",
+       "      6 `~~' |  `--'  7 `--'\n",
+       ".~~.    .~~. |  .--.    .--.\n",
+       "┊2 ┊~+~~┊0 ┊)`--|1 |~~~~|2 |\n",
+       "`~~' ┊  `~~'  8 `--'  8 `--'\n",
+       "     ┊  .~~.  8\n",
+       "     ┊~~┊1 ┊)\n",
+       "     ┊  `~~'\n",
+       "     ┊  .~~.  8\n",
+       "     `~~┊2 ┊)\n",
+       "      9 `~~'  8"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "text/markdown": [
+       "# C-C-C-S"
+      ],
+      "text/plain": [
+       "<IPython.core.display.Markdown object>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "image/svg+xml": [
+       "<svg xmlns=\"http://www.w3.org/2000/svg\" width=\"240\" height=\"1392\">\n",
+       "    <style>line, path, circle,rect,polygon {\n",
+       "                          stroke: black;\n",
+       "                          stroke-width: 2;\n",
+       "                          stroke-opacity: 1;\n",
+       "                          fill-opacity: 1;\n",
+       "                          stroke-linecap: round;\n",
+       "                          stroke-linejoin: miter;\n",
+       "                        }\n",
+       "\n",
+       "                    text {\n",
+       "                        /* This fix the spacing bug in svg text*/\n",
+       "                        white-space: pre;\n",
+       "                        fill: black;\n",
+       "                        }\n",
+       "                        rect.backdrop{\n",
+       "                            stroke: none;\n",
+       "                            fill: white;\n",
+       "                        }\n",
+       "                        .broken{\n",
+       "                            stroke-dasharray: 8;\n",
+       "                        }\n",
+       "                        .filled{\n",
+       "                            fill: black;\n",
+       "                        }\n",
+       "                        .bg_filled{\n",
+       "                            fill: white;\n",
+       "                        }\n",
+       "                        .nofill{\n",
+       "                            fill: white;\n",
+       "                        }\n",
+       "\n",
+       "                        text {\n",
+       "                         font-family: monospace;\n",
+       "                         font-size: 14px;\n",
+       "                        }\n",
+       "\n",
+       "                        .end_marked_arrow{\n",
+       "                            marker-end: url(#arrow);\n",
+       "                         }\n",
+       "                        .start_marked_arrow{\n",
+       "                            marker-start: url(#arrow);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_diamond{\n",
+       "                            marker-end: url(#diamond);\n",
+       "                         }\n",
+       "                        .start_marked_diamond{\n",
+       "                            marker-start: url(#diamond);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_circle{\n",
+       "                            marker-end: url(#circle);\n",
+       "                         }\n",
+       "                        .start_marked_circle{\n",
+       "                            marker-start: url(#circle);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_open_circle{\n",
+       "                            marker-end: url(#open_circle);\n",
+       "                         }\n",
+       "                        .start_marked_open_circle{\n",
+       "                            marker-start: url(#open_circle);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_big_open_circle{\n",
+       "                            marker-end: url(#big_open_circle);\n",
+       "                         }\n",
+       "                        .start_marked_big_open_circle{\n",
+       "                            marker-start: url(#big_open_circle);\n",
+       "                         }\n",
+       "\n",
+       "                         \n",
+       "                        </style>\n",
+       "    <defs>\n",
+       "        <marker id=\"arrow\" viewBox=\"-2 -2 8 8\" refX=\"4\" refY=\"2\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <polygon points=\"0,0 0,4 4,2 0,0\"></polygon>\n",
+       "        </marker>\n",
+       "        <marker id=\"diamond\" viewBox=\"-2 -2 8 8\" refX=\"4\" refY=\"2\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <polygon points=\"0,2 2,0 4,2 2,4 0,2\"></polygon>\n",
+       "        </marker>\n",
+       "        <marker id=\"circle\" viewBox=\"0 0 8 8\" refX=\"4\" refY=\"4\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <circle cx=\"4\" cy=\"4\" r=\"2\" class=\"filled\"></circle>\n",
+       "        </marker>\n",
+       "        <marker id=\"open_circle\" viewBox=\"0 0 8 8\" refX=\"4\" refY=\"4\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <circle cx=\"4\" cy=\"4\" r=\"2\" class=\"bg_filled\"></circle>\n",
+       "        </marker>\n",
+       "        <marker id=\"big_open_circle\" viewBox=\"0 0 8 8\" refX=\"4\" refY=\"4\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <circle cx=\"4\" cy=\"4\" r=\"3\" class=\"bg_filled\"></circle>\n",
+       "        </marker>\n",
+       "    </defs>\n",
+       "    <rect x=\"4\" y=\"8\" width=\"32\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"10\" y=\"28\" >i0</text>\n",
+       "    <rect x=\"68\" y=\"8\" width=\"32\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"74\" y=\"28\" >i1</text>\n",
+       "    <rect x=\"132\" y=\"8\" width=\"32\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"138\" y=\"28\" >i2</text>\n",
+       "    <rect x=\"196\" y=\"8\" width=\"32\" height=\"32\" class=\"solid nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"202\" y=\"28\" >i3</text>\n",
+       "    <rect x=\"4\" y=\"72\" width=\"24\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"10\" y=\"92\" >0</text>\n",
+       "    <rect x=\"68\" y=\"72\" width=\"24\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"74\" y=\"92\" >0</text>\n",
+       "    <rect x=\"132\" y=\"72\" width=\"24\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"138\" y=\"92\" >0</text>\n",
+       "    <rect x=\"68\" y=\"216\" width=\"24\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"74\" y=\"236\" >1</text>\n",
+       "    <rect x=\"132\" y=\"216\" width=\"24\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"138\" y=\"236\" >0</text>\n",
+       "    <rect x=\"132\" y=\"264\" width=\"24\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"138\" y=\"284\" >1</text>\n",
+       "    <rect x=\"68\" y=\"360\" width=\"24\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"74\" y=\"380\" >2</text>\n",
+       "    <rect x=\"4\" y=\"504\" width=\"24\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"10\" y=\"524\" >1</text>\n",
+       "    <rect x=\"68\" y=\"504\" width=\"24\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"74\" y=\"524\" >0</text>\n",
+       "    <rect x=\"68\" y=\"648\" width=\"24\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"74\" y=\"668\" >1</text>\n",
+       "    <rect x=\"132\" y=\"696\" width=\"24\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"138\" y=\"716\" >1</text>\n",
+       "    <rect x=\"68\" y=\"808\" width=\"24\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"74\" y=\"828\" >2</text>\n",
+       "    <rect x=\"4\" y=\"952\" width=\"24\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"10\" y=\"972\" >2</text>\n",
+       "    <rect x=\"68\" y=\"952\" width=\"24\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"74\" y=\"972\" >0</text>\n",
+       "    <rect x=\"68\" y=\"1096\" width=\"24\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"74\" y=\"1116\" >1</text>\n",
+       "    <rect x=\"68\" y=\"1240\" width=\"24\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"74\" y=\"1260\" >2</text>\n",
+       "    <text x=\"42\" y=\"28\" >p0</text>\n",
+       "    <text x=\"106\" y=\"28\" >p1</text>\n",
+       "    <text x=\"170\" y=\"28\" >p2</text>\n",
+       "    <line x1=\"0\" y1=\"54\" x2=\"232\" y2=\"54\" class=\"solid\"></line>\n",
+       "    <line x1=\"0\" y1=\"58\" x2=\"232\" y2=\"58\" class=\"solid\"></line>\n",
+       "    <text x=\"50\" y=\"76\" >0</text>\n",
+       "    <text x=\"114\" y=\"76\" >0</text>\n",
+       "    <text x=\"178\" y=\"76\" >0</text>\n",
+       "    <text x=\"202\" y=\"92\" >1</text>\n",
+       "    <text x=\"202\" y=\"108\" >2</text>\n",
+       "    <text x=\"178\" y=\"124\" >2</text>\n",
+       "    <line x1=\"112\" y1=\"136\" x2=\"128\" y2=\"136\" class=\"broken\"></line>\n",
+       "    <text x=\"138\" y=\"140\" >1</text>\n",
+       "    <text x=\"138\" y=\"188\" >2</text>\n",
+       "    <text x=\"114\" y=\"204\" >3</text>\n",
+       "    <text x=\"178\" y=\"220\" >2</text>\n",
+       "    <line x1=\"48\" y1=\"232\" x2=\"64\" y2=\"232\" class=\"broken\"></line>\n",
+       "    <text x=\"202\" y=\"236\" >0</text>\n",
+       "    <text x=\"202\" y=\"252\" >2</text>\n",
+       "    <text x=\"178\" y=\"268\" >4</text>\n",
+       "    <line x1=\"112\" y1=\"280\" x2=\"128\" y2=\"280\" class=\"broken\"></line>\n",
+       "    <text x=\"202\" y=\"284\" >0</text>\n",
+       "    <text x=\"178\" y=\"300\" >5</text>\n",
+       "    <text x=\"138\" y=\"332\" >2</text>\n",
+       "    <text x=\"114\" y=\"348\" >6</text>\n",
+       "    <text x=\"138\" y=\"380\" >0</text>\n",
+       "    <text x=\"50\" y=\"396\" >3</text>\n",
+       "    <line x1=\"112\" y1=\"424\" x2=\"128\" y2=\"424\" class=\"broken\"></line>\n",
+       "    <text x=\"138\" y=\"428\" >1</text>\n",
+       "    <text x=\"138\" y=\"476\" >2</text>\n",
+       "    <text x=\"114\" y=\"492\" >9</text>\n",
+       "    <text x=\"138\" y=\"524\" >0</text>\n",
+       "    <line x1=\"112\" y1=\"568\" x2=\"128\" y2=\"568\" class=\"broken\"></line>\n",
+       "    <text x=\"138\" y=\"572\" >1</text>\n",
+       "    <text x=\"138\" y=\"620\" >2</text>\n",
+       "    <text x=\"106\" y=\"636\" >12</text>\n",
+       "    <line x1=\"48\" y1=\"664\" x2=\"64\" y2=\"664\" class=\"broken\"></line>\n",
+       "    <text x=\"138\" y=\"668\" >0</text>\n",
+       "    <text x=\"178\" y=\"700\" >5</text>\n",
+       "    <line x1=\"112\" y1=\"712\" x2=\"128\" y2=\"712\" class=\"broken\"></line>\n",
+       "    <text x=\"202\" y=\"716\" >0</text>\n",
+       "    <text x=\"202\" y=\"732\" >1</text>\n",
+       "    <text x=\"202\" y=\"748\" >2</text>\n",
+       "    <text x=\"178\" y=\"764\" >8</text>\n",
+       "    <text x=\"138\" y=\"780\" >2</text>\n",
+       "    <text x=\"106\" y=\"796\" >15</text>\n",
+       "    <text x=\"138\" y=\"828\" >0</text>\n",
+       "    <text x=\"50\" y=\"844\" >6</text>\n",
+       "    <line x1=\"112\" y1=\"872\" x2=\"128\" y2=\"872\" class=\"broken\"></line>\n",
+       "    <text x=\"138\" y=\"876\" >1</text>\n",
+       "    <text x=\"138\" y=\"924\" >2</text>\n",
+       "    <text x=\"106\" y=\"940\" >18</text>\n",
+       "    <text x=\"138\" y=\"972\" >0</text>\n",
+       "    <line x1=\"112\" y1=\"1016\" x2=\"128\" y2=\"1016\" class=\"broken\"></line>\n",
+       "    <text x=\"138\" y=\"1020\" >1</text>\n",
+       "    <text x=\"138\" y=\"1068\" >2</text>\n",
+       "    <text x=\"106\" y=\"1084\" >21</text>\n",
+       "    <line x1=\"48\" y1=\"1112\" x2=\"64\" y2=\"1112\" class=\"broken\"></line>\n",
+       "    <text x=\"138\" y=\"1116\" >0</text>\n",
+       "    <line x1=\"112\" y1=\"1160\" x2=\"128\" y2=\"1160\" class=\"broken\"></line>\n",
+       "    <text x=\"138\" y=\"1164\" >1</text>\n",
+       "    <text x=\"138\" y=\"1212\" >2</text>\n",
+       "    <text x=\"106\" y=\"1228\" >24</text>\n",
+       "    <text x=\"138\" y=\"1260\" >0</text>\n",
+       "    <text x=\"50\" y=\"1276\" >9</text>\n",
+       "    <line x1=\"112\" y1=\"1304\" x2=\"128\" y2=\"1304\" class=\"broken\"></line>\n",
+       "    <text x=\"138\" y=\"1308\" >1</text>\n",
+       "    <text x=\"138\" y=\"1356\" >2</text>\n",
+       "    <text x=\"106\" y=\"1372\" >27</text>\n",
+       "    <text x=\"178\" y=\"172\" >2</text>\n",
+       "    <text x=\"178\" y=\"364\" >5</text>\n",
+       "    <text x=\"178\" y=\"412\" >5</text>\n",
+       "    <text x=\"178\" y=\"460\" >5</text>\n",
+       "    <text x=\"178\" y=\"508\" >5</text>\n",
+       "    <text x=\"178\" y=\"556\" >5</text>\n",
+       "    <text x=\"178\" y=\"604\" >5</text>\n",
+       "    <text x=\"178\" y=\"652\" >5</text>\n",
+       "    <text x=\"178\" y=\"812\" >8</text>\n",
+       "    <text x=\"178\" y=\"860\" >8</text>\n",
+       "    <text x=\"178\" y=\"908\" >8</text>\n",
+       "    <text x=\"178\" y=\"956\" >8</text>\n",
+       "    <text x=\"178\" y=\"1004\" >8</text>\n",
+       "    <text x=\"178\" y=\"1052\" >8</text>\n",
+       "    <text x=\"178\" y=\"1100\" >8</text>\n",
+       "    <text x=\"178\" y=\"1148\" >8</text>\n",
+       "    <text x=\"178\" y=\"1196\" >8</text>\n",
+       "    <text x=\"178\" y=\"1244\" >8</text>\n",
+       "    <text x=\"178\" y=\"1292\" >8</text>\n",
+       "    <text x=\"178\" y=\"1340\" >8</text>\n",
+       "    <text x=\"178\" y=\"1372\" >8</text>\n",
+       "    <g>\n",
+       "        <path d=\"M 200,72 A 4,4 0,0,0 196,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"76\" x2=\"196\" y2=\"116\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"72\" x2=\"216\" y2=\"72\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,72 A 4,4 0,0,1 220,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"76\" x2=\"220\" y2=\"116\" class=\"solid\"></line>\n",
+       "        <line x1=\"160\" y1=\"88\" x2=\"196\" y2=\"88\" class=\"solid\"></line>\n",
+       "        <line x1=\"172\" y1=\"88\" x2=\"172\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <path d=\"M 172,100 A 4,4 0,0,0 176,104\" class=\"nofill\"></path>\n",
+       "        <line x1=\"176\" y1=\"104\" x2=\"196\" y2=\"104\" class=\"solid\"></line>\n",
+       "        <path d=\"M 196,116 A 4,4 0,0,0 200,120\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"120\" x2=\"216\" y2=\"120\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,116 A 4,4 0,0,1 216,120\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <line x1=\"32\" y1=\"88\" x2=\"64\" y2=\"88\" class=\"broken\"></line>\n",
+       "        <line x1=\"44\" y1=\"88\" x2=\"44\" y2=\"372\" class=\"broken\"></line>\n",
+       "        <path d=\"M 44,372 A 4,4 0,0,0 48,376\" class=\"nofill\"></path>\n",
+       "        <line x1=\"48\" y1=\"376\" x2=\"64\" y2=\"376\" class=\"broken\"></line>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <line x1=\"96\" y1=\"88\" x2=\"128\" y2=\"88\" class=\"broken\"></line>\n",
+       "        <line x1=\"108\" y1=\"88\" x2=\"108\" y2=\"180\" class=\"broken\"></line>\n",
+       "        <path d=\"M 108,180 A 4,4 0,0,0 112,184\" class=\"nofill\"></path>\n",
+       "        <line x1=\"112\" y1=\"184\" x2=\"128\" y2=\"184\" class=\"broken\"></line>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 136,120 A 4,4 0,0,0 132,124\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"124\" x2=\"132\" y2=\"148\" class=\"broken\"></line>\n",
+       "        <line x1=\"136\" y1=\"120\" x2=\"152\" y2=\"120\" class=\"broken\"></line>\n",
+       "        <path d=\"M 152,120 A 4,4 0,0,1 156,124\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 152,120 A 8,8 0,0,1 158,124\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"124\" x2=\"156\" y2=\"148\" class=\"broken\"></line>\n",
+       "        <line x1=\"158\" y1=\"124\" x2=\"160\" y2=\"128\" class=\"solid\"></line>\n",
+       "        <path d=\"M 160,128 A 16,16 0,0,1 160,144\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 132,148 A 4,4 0,0,0 136,152\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"152\" x2=\"152\" y2=\"152\" class=\"broken\"></line>\n",
+       "        <line x1=\"160\" y1=\"144\" x2=\"158\" y2=\"148\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,148 A 4,4 0,0,1 152,152\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 158,148 A 8,8 0,0,1 152,152\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 136,168 A 4,4 0,0,0 132,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"172\" x2=\"132\" y2=\"196\" class=\"broken\"></line>\n",
+       "        <line x1=\"136\" y1=\"168\" x2=\"152\" y2=\"168\" class=\"broken\"></line>\n",
+       "        <path d=\"M 152,168 A 4,4 0,0,1 156,172\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 152,168 A 8,8 0,0,1 158,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"172\" x2=\"156\" y2=\"196\" class=\"broken\"></line>\n",
+       "        <line x1=\"158\" y1=\"172\" x2=\"160\" y2=\"176\" class=\"solid\"></line>\n",
+       "        <path d=\"M 160,176 A 16,16 0,0,1 160,192\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 132,196 A 4,4 0,0,0 136,200\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"200\" x2=\"152\" y2=\"200\" class=\"broken\"></line>\n",
+       "        <line x1=\"160\" y1=\"192\" x2=\"158\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,196 A 4,4 0,0,1 152,200\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 158,196 A 8,8 0,0,1 152,200\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 200,216 A 4,4 0,0,0 196,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"220\" x2=\"196\" y2=\"292\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"216\" x2=\"216\" y2=\"216\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,216 A 4,4 0,0,1 220,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"220\" x2=\"220\" y2=\"292\" class=\"solid\"></line>\n",
+       "        <line x1=\"160\" y1=\"232\" x2=\"196\" y2=\"232\" class=\"solid\"></line>\n",
+       "        <line x1=\"172\" y1=\"232\" x2=\"172\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <path d=\"M 172,244 A 4,4 0,0,0 176,248\" class=\"nofill\"></path>\n",
+       "        <line x1=\"176\" y1=\"248\" x2=\"196\" y2=\"248\" class=\"solid\"></line>\n",
+       "        <line x1=\"196\" y1=\"264\" x2=\"220\" y2=\"264\" class=\"solid\"></line>\n",
+       "        <line x1=\"160\" y1=\"280\" x2=\"196\" y2=\"280\" class=\"solid\"></line>\n",
+       "        <path d=\"M 196,292 A 4,4 0,0,0 200,296\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"296\" x2=\"216\" y2=\"296\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,292 A 4,4 0,0,1 216,296\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <line x1=\"96\" y1=\"232\" x2=\"128\" y2=\"232\" class=\"broken\"></line>\n",
+       "        <line x1=\"108\" y1=\"232\" x2=\"108\" y2=\"324\" class=\"broken\"></line>\n",
+       "        <path d=\"M 108,324 A 4,4 0,0,0 112,328\" class=\"nofill\"></path>\n",
+       "        <line x1=\"112\" y1=\"328\" x2=\"128\" y2=\"328\" class=\"broken\"></line>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 136,312 A 4,4 0,0,0 132,316\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"316\" x2=\"132\" y2=\"340\" class=\"broken\"></line>\n",
+       "        <line x1=\"136\" y1=\"312\" x2=\"152\" y2=\"312\" class=\"broken\"></line>\n",
+       "        <path d=\"M 152,312 A 4,4 0,0,1 156,316\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 152,312 A 8,8 0,0,1 158,316\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"316\" x2=\"156\" y2=\"340\" class=\"broken\"></line>\n",
+       "        <line x1=\"158\" y1=\"316\" x2=\"160\" y2=\"320\" class=\"solid\"></line>\n",
+       "        <path d=\"M 160,320 A 16,16 0,0,1 160,336\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 132,340 A 4,4 0,0,0 136,344\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"344\" x2=\"152\" y2=\"344\" class=\"broken\"></line>\n",
+       "        <line x1=\"160\" y1=\"336\" x2=\"158\" y2=\"340\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,340 A 4,4 0,0,1 152,344\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 158,340 A 8,8 0,0,1 152,344\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 136,360 A 4,4 0,0,0 132,364\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"364\" x2=\"132\" y2=\"388\" class=\"broken\"></line>\n",
+       "        <line x1=\"136\" y1=\"360\" x2=\"152\" y2=\"360\" class=\"broken\"></line>\n",
+       "        <path d=\"M 152,360 A 4,4 0,0,1 156,364\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 152,360 A 8,8 0,0,1 158,364\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"364\" x2=\"156\" y2=\"388\" class=\"broken\"></line>\n",
+       "        <line x1=\"158\" y1=\"364\" x2=\"160\" y2=\"368\" class=\"solid\"></line>\n",
+       "        <path d=\"M 160,368 A 16,16 0,0,1 160,384\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 132,388 A 4,4 0,0,0 136,392\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"392\" x2=\"152\" y2=\"392\" class=\"broken\"></line>\n",
+       "        <line x1=\"160\" y1=\"384\" x2=\"158\" y2=\"388\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,388 A 4,4 0,0,1 152,392\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 158,388 A 8,8 0,0,1 152,392\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <line x1=\"96\" y1=\"376\" x2=\"128\" y2=\"376\" class=\"broken\"></line>\n",
+       "        <line x1=\"108\" y1=\"376\" x2=\"108\" y2=\"468\" class=\"broken\"></line>\n",
+       "        <path d=\"M 108,468 A 4,4 0,0,0 112,472\" class=\"nofill\"></path>\n",
+       "        <line x1=\"112\" y1=\"472\" x2=\"128\" y2=\"472\" class=\"broken\"></line>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 136,408 A 4,4 0,0,0 132,412\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"412\" x2=\"132\" y2=\"436\" class=\"broken\"></line>\n",
+       "        <line x1=\"136\" y1=\"408\" x2=\"152\" y2=\"408\" class=\"broken\"></line>\n",
+       "        <path d=\"M 152,408 A 4,4 0,0,1 156,412\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 152,408 A 8,8 0,0,1 158,412\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"412\" x2=\"156\" y2=\"436\" class=\"broken\"></line>\n",
+       "        <line x1=\"158\" y1=\"412\" x2=\"160\" y2=\"416\" class=\"solid\"></line>\n",
+       "        <path d=\"M 160,416 A 16,16 0,0,1 160,432\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 132,436 A 4,4 0,0,0 136,440\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"440\" x2=\"152\" y2=\"440\" class=\"broken\"></line>\n",
+       "        <line x1=\"160\" y1=\"432\" x2=\"158\" y2=\"436\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,436 A 4,4 0,0,1 152,440\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 158,436 A 8,8 0,0,1 152,440\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 136,456 A 4,4 0,0,0 132,460\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"460\" x2=\"132\" y2=\"484\" class=\"broken\"></line>\n",
+       "        <line x1=\"136\" y1=\"456\" x2=\"152\" y2=\"456\" class=\"broken\"></line>\n",
+       "        <path d=\"M 152,456 A 4,4 0,0,1 156,460\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 152,456 A 8,8 0,0,1 158,460\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"460\" x2=\"156\" y2=\"484\" class=\"broken\"></line>\n",
+       "        <line x1=\"158\" y1=\"460\" x2=\"160\" y2=\"464\" class=\"solid\"></line>\n",
+       "        <path d=\"M 160,464 A 16,16 0,0,1 160,480\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 132,484 A 4,4 0,0,0 136,488\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"488\" x2=\"152\" y2=\"488\" class=\"broken\"></line>\n",
+       "        <line x1=\"160\" y1=\"480\" x2=\"158\" y2=\"484\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,484 A 4,4 0,0,1 152,488\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 158,484 A 8,8 0,0,1 152,488\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 136,504 A 4,4 0,0,0 132,508\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"508\" x2=\"132\" y2=\"532\" class=\"broken\"></line>\n",
+       "        <line x1=\"136\" y1=\"504\" x2=\"152\" y2=\"504\" class=\"broken\"></line>\n",
+       "        <path d=\"M 152,504 A 4,4 0,0,1 156,508\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 152,504 A 8,8 0,0,1 158,508\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"508\" x2=\"156\" y2=\"532\" class=\"broken\"></line>\n",
+       "        <line x1=\"158\" y1=\"508\" x2=\"160\" y2=\"512\" class=\"solid\"></line>\n",
+       "        <path d=\"M 160,512 A 16,16 0,0,1 160,528\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 132,532 A 4,4 0,0,0 136,536\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"536\" x2=\"152\" y2=\"536\" class=\"broken\"></line>\n",
+       "        <line x1=\"160\" y1=\"528\" x2=\"158\" y2=\"532\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,532 A 4,4 0,0,1 152,536\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 158,532 A 8,8 0,0,1 152,536\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <line x1=\"32\" y1=\"520\" x2=\"64\" y2=\"520\" class=\"broken\"></line>\n",
+       "        <line x1=\"44\" y1=\"520\" x2=\"44\" y2=\"820\" class=\"broken\"></line>\n",
+       "        <path d=\"M 44,820 A 4,4 0,0,0 48,824\" class=\"nofill\"></path>\n",
+       "        <line x1=\"48\" y1=\"824\" x2=\"64\" y2=\"824\" class=\"broken\"></line>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <line x1=\"96\" y1=\"520\" x2=\"128\" y2=\"520\" class=\"broken\"></line>\n",
+       "        <line x1=\"108\" y1=\"520\" x2=\"108\" y2=\"612\" class=\"broken\"></line>\n",
+       "        <path d=\"M 108,612 A 4,4 0,0,0 112,616\" class=\"nofill\"></path>\n",
+       "        <line x1=\"112\" y1=\"616\" x2=\"128\" y2=\"616\" class=\"broken\"></line>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 136,552 A 4,4 0,0,0 132,556\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"556\" x2=\"132\" y2=\"580\" class=\"broken\"></line>\n",
+       "        <line x1=\"136\" y1=\"552\" x2=\"152\" y2=\"552\" class=\"broken\"></line>\n",
+       "        <path d=\"M 152,552 A 4,4 0,0,1 156,556\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 152,552 A 8,8 0,0,1 158,556\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"556\" x2=\"156\" y2=\"580\" class=\"broken\"></line>\n",
+       "        <line x1=\"158\" y1=\"556\" x2=\"160\" y2=\"560\" class=\"solid\"></line>\n",
+       "        <path d=\"M 160,560 A 16,16 0,0,1 160,576\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 132,580 A 4,4 0,0,0 136,584\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"584\" x2=\"152\" y2=\"584\" class=\"broken\"></line>\n",
+       "        <line x1=\"160\" y1=\"576\" x2=\"158\" y2=\"580\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,580 A 4,4 0,0,1 152,584\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 158,580 A 8,8 0,0,1 152,584\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 136,600 A 4,4 0,0,0 132,604\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"604\" x2=\"132\" y2=\"628\" class=\"broken\"></line>\n",
+       "        <line x1=\"136\" y1=\"600\" x2=\"152\" y2=\"600\" class=\"broken\"></line>\n",
+       "        <path d=\"M 152,600 A 4,4 0,0,1 156,604\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 152,600 A 8,8 0,0,1 158,604\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"604\" x2=\"156\" y2=\"628\" class=\"broken\"></line>\n",
+       "        <line x1=\"158\" y1=\"604\" x2=\"160\" y2=\"608\" class=\"solid\"></line>\n",
+       "        <path d=\"M 160,608 A 16,16 0,0,1 160,624\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 132,628 A 4,4 0,0,0 136,632\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"632\" x2=\"152\" y2=\"632\" class=\"broken\"></line>\n",
+       "        <line x1=\"160\" y1=\"624\" x2=\"158\" y2=\"628\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,628 A 4,4 0,0,1 152,632\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 158,628 A 8,8 0,0,1 152,632\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 136,648 A 4,4 0,0,0 132,652\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"652\" x2=\"132\" y2=\"676\" class=\"broken\"></line>\n",
+       "        <line x1=\"136\" y1=\"648\" x2=\"152\" y2=\"648\" class=\"broken\"></line>\n",
+       "        <path d=\"M 152,648 A 4,4 0,0,1 156,652\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 152,648 A 8,8 0,0,1 158,652\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"652\" x2=\"156\" y2=\"676\" class=\"broken\"></line>\n",
+       "        <line x1=\"158\" y1=\"652\" x2=\"160\" y2=\"656\" class=\"solid\"></line>\n",
+       "        <path d=\"M 160,656 A 16,16 0,0,1 160,672\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 132,676 A 4,4 0,0,0 136,680\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"680\" x2=\"152\" y2=\"680\" class=\"broken\"></line>\n",
+       "        <line x1=\"160\" y1=\"672\" x2=\"158\" y2=\"676\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,676 A 4,4 0,0,1 152,680\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 158,676 A 8,8 0,0,1 152,680\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <line x1=\"96\" y1=\"664\" x2=\"128\" y2=\"664\" class=\"broken\"></line>\n",
+       "        <line x1=\"108\" y1=\"664\" x2=\"108\" y2=\"772\" class=\"broken\"></line>\n",
+       "        <path d=\"M 108,772 A 4,4 0,0,0 112,776\" class=\"nofill\"></path>\n",
+       "        <line x1=\"112\" y1=\"776\" x2=\"128\" y2=\"776\" class=\"broken\"></line>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 200,696 A 4,4 0,0,0 196,700\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"700\" x2=\"196\" y2=\"756\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"696\" x2=\"216\" y2=\"696\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,696 A 4,4 0,0,1 220,700\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"700\" x2=\"220\" y2=\"756\" class=\"solid\"></line>\n",
+       "        <line x1=\"160\" y1=\"712\" x2=\"196\" y2=\"712\" class=\"solid\"></line>\n",
+       "        <line x1=\"172\" y1=\"712\" x2=\"172\" y2=\"740\" class=\"solid\"></line>\n",
+       "        <line x1=\"172\" y1=\"728\" x2=\"196\" y2=\"728\" class=\"solid\"></line>\n",
+       "        <path d=\"M 172,740 A 4,4 0,0,0 176,744\" class=\"nofill\"></path>\n",
+       "        <line x1=\"176\" y1=\"744\" x2=\"196\" y2=\"744\" class=\"solid\"></line>\n",
+       "        <path d=\"M 196,756 A 4,4 0,0,0 200,760\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"760\" x2=\"216\" y2=\"760\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,756 A 4,4 0,0,1 216,760\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 136,760 A 4,4 0,0,0 132,764\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"764\" x2=\"132\" y2=\"788\" class=\"broken\"></line>\n",
+       "        <line x1=\"136\" y1=\"760\" x2=\"152\" y2=\"760\" class=\"broken\"></line>\n",
+       "        <path d=\"M 152,760 A 4,4 0,0,1 156,764\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 152,760 A 8,8 0,0,1 158,764\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"764\" x2=\"156\" y2=\"788\" class=\"broken\"></line>\n",
+       "        <line x1=\"158\" y1=\"764\" x2=\"160\" y2=\"768\" class=\"solid\"></line>\n",
+       "        <path d=\"M 160,768 A 16,16 0,0,1 160,784\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 132,788 A 4,4 0,0,0 136,792\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"792\" x2=\"152\" y2=\"792\" class=\"broken\"></line>\n",
+       "        <line x1=\"160\" y1=\"784\" x2=\"158\" y2=\"788\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,788 A 4,4 0,0,1 152,792\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 158,788 A 8,8 0,0,1 152,792\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 136,808 A 4,4 0,0,0 132,812\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"812\" x2=\"132\" y2=\"836\" class=\"broken\"></line>\n",
+       "        <line x1=\"136\" y1=\"808\" x2=\"152\" y2=\"808\" class=\"broken\"></line>\n",
+       "        <path d=\"M 152,808 A 4,4 0,0,1 156,812\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 152,808 A 8,8 0,0,1 158,812\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"812\" x2=\"156\" y2=\"836\" class=\"broken\"></line>\n",
+       "        <line x1=\"158\" y1=\"812\" x2=\"160\" y2=\"816\" class=\"solid\"></line>\n",
+       "        <path d=\"M 160,816 A 16,16 0,0,1 160,832\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 132,836 A 4,4 0,0,0 136,840\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"840\" x2=\"152\" y2=\"840\" class=\"broken\"></line>\n",
+       "        <line x1=\"160\" y1=\"832\" x2=\"158\" y2=\"836\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,836 A 4,4 0,0,1 152,840\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 158,836 A 8,8 0,0,1 152,840\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <line x1=\"96\" y1=\"824\" x2=\"128\" y2=\"824\" class=\"broken\"></line>\n",
+       "        <line x1=\"108\" y1=\"824\" x2=\"108\" y2=\"916\" class=\"broken\"></line>\n",
+       "        <path d=\"M 108,916 A 4,4 0,0,0 112,920\" class=\"nofill\"></path>\n",
+       "        <line x1=\"112\" y1=\"920\" x2=\"128\" y2=\"920\" class=\"broken\"></line>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 136,856 A 4,4 0,0,0 132,860\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"860\" x2=\"132\" y2=\"884\" class=\"broken\"></line>\n",
+       "        <line x1=\"136\" y1=\"856\" x2=\"152\" y2=\"856\" class=\"broken\"></line>\n",
+       "        <path d=\"M 152,856 A 4,4 0,0,1 156,860\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 152,856 A 8,8 0,0,1 158,860\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"860\" x2=\"156\" y2=\"884\" class=\"broken\"></line>\n",
+       "        <line x1=\"158\" y1=\"860\" x2=\"160\" y2=\"864\" class=\"solid\"></line>\n",
+       "        <path d=\"M 160,864 A 16,16 0,0,1 160,880\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 132,884 A 4,4 0,0,0 136,888\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"888\" x2=\"152\" y2=\"888\" class=\"broken\"></line>\n",
+       "        <line x1=\"160\" y1=\"880\" x2=\"158\" y2=\"884\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,884 A 4,4 0,0,1 152,888\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 158,884 A 8,8 0,0,1 152,888\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 136,904 A 4,4 0,0,0 132,908\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"908\" x2=\"132\" y2=\"932\" class=\"broken\"></line>\n",
+       "        <line x1=\"136\" y1=\"904\" x2=\"152\" y2=\"904\" class=\"broken\"></line>\n",
+       "        <path d=\"M 152,904 A 4,4 0,0,1 156,908\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 152,904 A 8,8 0,0,1 158,908\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"908\" x2=\"156\" y2=\"932\" class=\"broken\"></line>\n",
+       "        <line x1=\"158\" y1=\"908\" x2=\"160\" y2=\"912\" class=\"solid\"></line>\n",
+       "        <path d=\"M 160,912 A 16,16 0,0,1 160,928\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 132,932 A 4,4 0,0,0 136,936\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"936\" x2=\"152\" y2=\"936\" class=\"broken\"></line>\n",
+       "        <line x1=\"160\" y1=\"928\" x2=\"158\" y2=\"932\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,932 A 4,4 0,0,1 152,936\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 158,932 A 8,8 0,0,1 152,936\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 136,952 A 4,4 0,0,0 132,956\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"956\" x2=\"132\" y2=\"980\" class=\"broken\"></line>\n",
+       "        <line x1=\"136\" y1=\"952\" x2=\"152\" y2=\"952\" class=\"broken\"></line>\n",
+       "        <path d=\"M 152,952 A 4,4 0,0,1 156,956\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 152,952 A 8,8 0,0,1 158,956\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"956\" x2=\"156\" y2=\"980\" class=\"broken\"></line>\n",
+       "        <line x1=\"158\" y1=\"956\" x2=\"160\" y2=\"960\" class=\"solid\"></line>\n",
+       "        <path d=\"M 160,960 A 16,16 0,0,1 160,976\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 132,980 A 4,4 0,0,0 136,984\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"984\" x2=\"152\" y2=\"984\" class=\"broken\"></line>\n",
+       "        <line x1=\"160\" y1=\"976\" x2=\"158\" y2=\"980\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,980 A 4,4 0,0,1 152,984\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 158,980 A 8,8 0,0,1 152,984\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <line x1=\"32\" y1=\"968\" x2=\"64\" y2=\"968\" class=\"broken\"></line>\n",
+       "        <line x1=\"44\" y1=\"968\" x2=\"44\" y2=\"1252\" class=\"broken\"></line>\n",
+       "        <path d=\"M 44,1252 A 4,4 0,0,0 48,1256\" class=\"nofill\"></path>\n",
+       "        <line x1=\"48\" y1=\"1256\" x2=\"64\" y2=\"1256\" class=\"broken\"></line>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <line x1=\"96\" y1=\"968\" x2=\"128\" y2=\"968\" class=\"broken\"></line>\n",
+       "        <line x1=\"108\" y1=\"968\" x2=\"108\" y2=\"1060\" class=\"broken\"></line>\n",
+       "        <path d=\"M 108,1060 A 4,4 0,0,0 112,1064\" class=\"nofill\"></path>\n",
+       "        <line x1=\"112\" y1=\"1064\" x2=\"128\" y2=\"1064\" class=\"broken\"></line>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 136,1000 A 4,4 0,0,0 132,1004\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"1004\" x2=\"132\" y2=\"1028\" class=\"broken\"></line>\n",
+       "        <line x1=\"136\" y1=\"1000\" x2=\"152\" y2=\"1000\" class=\"broken\"></line>\n",
+       "        <path d=\"M 152,1000 A 4,4 0,0,1 156,1004\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 152,1000 A 8,8 0,0,1 158,1004\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"1004\" x2=\"156\" y2=\"1028\" class=\"broken\"></line>\n",
+       "        <line x1=\"158\" y1=\"1004\" x2=\"160\" y2=\"1008\" class=\"solid\"></line>\n",
+       "        <path d=\"M 160,1008 A 16,16 0,0,1 160,1024\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 132,1028 A 4,4 0,0,0 136,1032\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"1032\" x2=\"152\" y2=\"1032\" class=\"broken\"></line>\n",
+       "        <line x1=\"160\" y1=\"1024\" x2=\"158\" y2=\"1028\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,1028 A 4,4 0,0,1 152,1032\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 158,1028 A 8,8 0,0,1 152,1032\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 136,1048 A 4,4 0,0,0 132,1052\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"1052\" x2=\"132\" y2=\"1076\" class=\"broken\"></line>\n",
+       "        <line x1=\"136\" y1=\"1048\" x2=\"152\" y2=\"1048\" class=\"broken\"></line>\n",
+       "        <path d=\"M 152,1048 A 4,4 0,0,1 156,1052\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 152,1048 A 8,8 0,0,1 158,1052\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"1052\" x2=\"156\" y2=\"1076\" class=\"broken\"></line>\n",
+       "        <line x1=\"158\" y1=\"1052\" x2=\"160\" y2=\"1056\" class=\"solid\"></line>\n",
+       "        <path d=\"M 160,1056 A 16,16 0,0,1 160,1072\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 132,1076 A 4,4 0,0,0 136,1080\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"1080\" x2=\"152\" y2=\"1080\" class=\"broken\"></line>\n",
+       "        <line x1=\"160\" y1=\"1072\" x2=\"158\" y2=\"1076\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,1076 A 4,4 0,0,1 152,1080\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 158,1076 A 8,8 0,0,1 152,1080\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 136,1096 A 4,4 0,0,0 132,1100\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"1100\" x2=\"132\" y2=\"1124\" class=\"broken\"></line>\n",
+       "        <line x1=\"136\" y1=\"1096\" x2=\"152\" y2=\"1096\" class=\"broken\"></line>\n",
+       "        <path d=\"M 152,1096 A 4,4 0,0,1 156,1100\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 152,1096 A 8,8 0,0,1 158,1100\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"1100\" x2=\"156\" y2=\"1124\" class=\"broken\"></line>\n",
+       "        <line x1=\"158\" y1=\"1100\" x2=\"160\" y2=\"1104\" class=\"solid\"></line>\n",
+       "        <path d=\"M 160,1104 A 16,16 0,0,1 160,1120\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 132,1124 A 4,4 0,0,0 136,1128\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"1128\" x2=\"152\" y2=\"1128\" class=\"broken\"></line>\n",
+       "        <line x1=\"160\" y1=\"1120\" x2=\"158\" y2=\"1124\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,1124 A 4,4 0,0,1 152,1128\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 158,1124 A 8,8 0,0,1 152,1128\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <line x1=\"96\" y1=\"1112\" x2=\"128\" y2=\"1112\" class=\"broken\"></line>\n",
+       "        <line x1=\"108\" y1=\"1112\" x2=\"108\" y2=\"1204\" class=\"broken\"></line>\n",
+       "        <path d=\"M 108,1204 A 4,4 0,0,0 112,1208\" class=\"nofill\"></path>\n",
+       "        <line x1=\"112\" y1=\"1208\" x2=\"128\" y2=\"1208\" class=\"broken\"></line>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 136,1144 A 4,4 0,0,0 132,1148\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"1148\" x2=\"132\" y2=\"1172\" class=\"broken\"></line>\n",
+       "        <line x1=\"136\" y1=\"1144\" x2=\"152\" y2=\"1144\" class=\"broken\"></line>\n",
+       "        <path d=\"M 152,1144 A 4,4 0,0,1 156,1148\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 152,1144 A 8,8 0,0,1 158,1148\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"1148\" x2=\"156\" y2=\"1172\" class=\"broken\"></line>\n",
+       "        <line x1=\"158\" y1=\"1148\" x2=\"160\" y2=\"1152\" class=\"solid\"></line>\n",
+       "        <path d=\"M 160,1152 A 16,16 0,0,1 160,1168\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 132,1172 A 4,4 0,0,0 136,1176\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"1176\" x2=\"152\" y2=\"1176\" class=\"broken\"></line>\n",
+       "        <line x1=\"160\" y1=\"1168\" x2=\"158\" y2=\"1172\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,1172 A 4,4 0,0,1 152,1176\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 158,1172 A 8,8 0,0,1 152,1176\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 136,1192 A 4,4 0,0,0 132,1196\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"1196\" x2=\"132\" y2=\"1220\" class=\"broken\"></line>\n",
+       "        <line x1=\"136\" y1=\"1192\" x2=\"152\" y2=\"1192\" class=\"broken\"></line>\n",
+       "        <path d=\"M 152,1192 A 4,4 0,0,1 156,1196\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 152,1192 A 8,8 0,0,1 158,1196\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"1196\" x2=\"156\" y2=\"1220\" class=\"broken\"></line>\n",
+       "        <line x1=\"158\" y1=\"1196\" x2=\"160\" y2=\"1200\" class=\"solid\"></line>\n",
+       "        <path d=\"M 160,1200 A 16,16 0,0,1 160,1216\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 132,1220 A 4,4 0,0,0 136,1224\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"1224\" x2=\"152\" y2=\"1224\" class=\"broken\"></line>\n",
+       "        <line x1=\"160\" y1=\"1216\" x2=\"158\" y2=\"1220\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,1220 A 4,4 0,0,1 152,1224\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 158,1220 A 8,8 0,0,1 152,1224\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 136,1240 A 4,4 0,0,0 132,1244\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"1244\" x2=\"132\" y2=\"1268\" class=\"broken\"></line>\n",
+       "        <line x1=\"136\" y1=\"1240\" x2=\"152\" y2=\"1240\" class=\"broken\"></line>\n",
+       "        <path d=\"M 152,1240 A 4,4 0,0,1 156,1244\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 152,1240 A 8,8 0,0,1 158,1244\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"1244\" x2=\"156\" y2=\"1268\" class=\"broken\"></line>\n",
+       "        <line x1=\"158\" y1=\"1244\" x2=\"160\" y2=\"1248\" class=\"solid\"></line>\n",
+       "        <path d=\"M 160,1248 A 16,16 0,0,1 160,1264\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 132,1268 A 4,4 0,0,0 136,1272\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"1272\" x2=\"152\" y2=\"1272\" class=\"broken\"></line>\n",
+       "        <line x1=\"160\" y1=\"1264\" x2=\"158\" y2=\"1268\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,1268 A 4,4 0,0,1 152,1272\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 158,1268 A 8,8 0,0,1 152,1272\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <line x1=\"96\" y1=\"1256\" x2=\"128\" y2=\"1256\" class=\"broken\"></line>\n",
+       "        <line x1=\"108\" y1=\"1256\" x2=\"108\" y2=\"1348\" class=\"broken\"></line>\n",
+       "        <path d=\"M 108,1348 A 4,4 0,0,0 112,1352\" class=\"nofill\"></path>\n",
+       "        <line x1=\"112\" y1=\"1352\" x2=\"128\" y2=\"1352\" class=\"broken\"></line>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 136,1288 A 4,4 0,0,0 132,1292\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"1292\" x2=\"132\" y2=\"1316\" class=\"broken\"></line>\n",
+       "        <line x1=\"136\" y1=\"1288\" x2=\"152\" y2=\"1288\" class=\"broken\"></line>\n",
+       "        <path d=\"M 152,1288 A 4,4 0,0,1 156,1292\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 152,1288 A 8,8 0,0,1 158,1292\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"1292\" x2=\"156\" y2=\"1316\" class=\"broken\"></line>\n",
+       "        <line x1=\"158\" y1=\"1292\" x2=\"160\" y2=\"1296\" class=\"solid\"></line>\n",
+       "        <path d=\"M 160,1296 A 16,16 0,0,1 160,1312\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 132,1316 A 4,4 0,0,0 136,1320\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"1320\" x2=\"152\" y2=\"1320\" class=\"broken\"></line>\n",
+       "        <line x1=\"160\" y1=\"1312\" x2=\"158\" y2=\"1316\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,1316 A 4,4 0,0,1 152,1320\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 158,1316 A 8,8 0,0,1 152,1320\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 136,1336 A 4,4 0,0,0 132,1340\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"1340\" x2=\"132\" y2=\"1364\" class=\"broken\"></line>\n",
+       "        <line x1=\"136\" y1=\"1336\" x2=\"152\" y2=\"1336\" class=\"broken\"></line>\n",
+       "        <path d=\"M 152,1336 A 4,4 0,0,1 156,1340\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 152,1336 A 8,8 0,0,1 158,1340\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"1340\" x2=\"156\" y2=\"1364\" class=\"broken\"></line>\n",
+       "        <line x1=\"158\" y1=\"1340\" x2=\"160\" y2=\"1344\" class=\"solid\"></line>\n",
+       "        <path d=\"M 160,1344 A 16,16 0,0,1 160,1360\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 132,1364 A 4,4 0,0,0 136,1368\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"1368\" x2=\"152\" y2=\"1368\" class=\"broken\"></line>\n",
+       "        <line x1=\"160\" y1=\"1360\" x2=\"158\" y2=\"1364\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,1364 A 4,4 0,0,1 152,1368\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 158,1364 A 8,8 0,0,1 152,1368\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "</svg>"
+      ],
+      "text/plain": [
+       ".~~~.   .~~~.   .~~~.   .---.\n",
+       "┊i0 ┊p0 ┊i1 ┊p1 ┊i2 ┊p2 |i3 |\n",
+       "`~~~'   `~~~'   `~~~'   `---'\n",
+       "=============================\n",
+       ".~~.  0 .~~.  0 .~~.  0 .--.\n",
+       "┊0 ┊~+~~┊0 ┊~+~~┊0 ┊-+--|1 |\n",
+       "`~~' ┊  `~~' ┊  `~~' `--|2 |\n",
+       "     ┊       ┊  .~~.  2 `--'\n",
+       "     ┊       ┊~~┊1 ┊)\n",
+       "     ┊       ┊  `~~'\n",
+       "     ┊       ┊  .~~.  2\n",
+       "     ┊       `~~┊2 ┊)\n",
+       "     ┊        3 `~~'\n",
+       "     ┊  .~~.    .~~.  2 .--.\n",
+       "     ┊~~┊1 ┊~+~~┊0 ┊-+--|0 |\n",
+       "     ┊  `~~' ┊  `~~' `--|2 |\n",
+       "     ┊       ┊  .~~.  4 |--|\n",
+       "     ┊       ┊~~┊1 ┊----|0 |\n",
+       "     ┊       ┊  `~~'  5 `--'\n",
+       "     ┊       ┊  .~~.\n",
+       "     ┊       `~~┊2 ┊)\n",
+       "     ┊        6 `~~'\n",
+       "     ┊  .~~.    .~~.  5\n",
+       "     `~~┊2 ┊~+~~┊0 ┊)\n",
+       "      3 `~~' ┊  `~~'\n",
+       "             ┊  .~~.  5\n",
+       "             ┊~~┊1 ┊)\n",
+       "             ┊  `~~'\n",
+       "             ┊  .~~.  5\n",
+       "             `~~┊2 ┊)\n",
+       "              9 `~~'\n",
+       ".~~.    .~~.    .~~.  5\n",
+       "┊1 ┊~+~~┊0 ┊~+~~┊0 ┊)\n",
+       "`~~' ┊  `~~' ┊  `~~'\n",
+       "     ┊       ┊  .~~.  5\n",
+       "     ┊       ┊~~┊1 ┊)\n",
+       "     ┊       ┊  `~~'\n",
+       "     ┊       ┊  .~~.  5\n",
+       "     ┊       `~~┊2 ┊)\n",
+       "     ┊       12 `~~'\n",
+       "     ┊  .~~.    .~~.  5\n",
+       "     ┊~~┊1 ┊~+~~┊0 ┊)\n",
+       "     ┊  `~~' ┊  `~~'\n",
+       "     ┊       ┊  .~~.  5 .--.\n",
+       "     ┊       ┊~~┊1 ┊-+--|0 |\n",
+       "     ┊       ┊  `~~' |--|1 |\n",
+       "     ┊       ┊       `--|2 |\n",
+       "     ┊       ┊  .~~.  8 `--'\n",
+       "     ┊       `~~┊2 ┊)\n",
+       "     ┊       15 `~~'\n",
+       "     ┊  .~~.    .~~.  8\n",
+       "     `~~┊2 ┊~+~~┊0 ┊)\n",
+       "      6 `~~' ┊  `~~'\n",
+       "             ┊  .~~.  8\n",
+       "             ┊~~┊1 ┊)\n",
+       "             ┊  `~~'\n",
+       "             ┊  .~~.  8\n",
+       "             `~~┊2 ┊)\n",
+       "             18 `~~'\n",
+       ".~~.    .~~.    .~~.  8\n",
+       "┊2 ┊~+~~┊0 ┊~+~~┊0 ┊)\n",
+       "`~~' ┊  `~~' ┊  `~~'\n",
+       "     ┊       ┊  .~~.  8\n",
+       "     ┊       ┊~~┊1 ┊)\n",
+       "     ┊       ┊  `~~'\n",
+       "     ┊       ┊  .~~.  8\n",
+       "     ┊       `~~┊2 ┊)\n",
+       "     ┊       21 `~~'\n",
+       "     ┊  .~~.    .~~.  8\n",
+       "     ┊~~┊1 ┊~+~~┊0 ┊)\n",
+       "     ┊  `~~' ┊  `~~'\n",
+       "     ┊       ┊  .~~.  8\n",
+       "     ┊       ┊~~┊1 ┊)\n",
+       "     ┊       ┊  `~~'\n",
+       "     ┊       ┊  .~~.  8\n",
+       "     ┊       `~~┊2 ┊)\n",
+       "     ┊       24 `~~'\n",
+       "     ┊  .~~.    .~~.  8\n",
+       "     `~~┊2 ┊~+~~┊0 ┊)\n",
+       "      9 `~~' ┊  `~~'\n",
+       "             ┊  .~~.  8\n",
+       "             ┊~~┊1 ┊)\n",
+       "             ┊  `~~'\n",
+       "             ┊  .~~.  8\n",
+       "             `~~┊2 ┊)\n",
+       "             27 `~~'  8"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "text/markdown": [
+       "# C-C-DC-S"
+      ],
+      "text/plain": [
+       "<IPython.core.display.Markdown object>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "image/svg+xml": [
+       "<svg xmlns=\"http://www.w3.org/2000/svg\" width=\"240\" height=\"512\">\n",
+       "    <style>line, path, circle,rect,polygon {\n",
+       "                          stroke: black;\n",
+       "                          stroke-width: 2;\n",
+       "                          stroke-opacity: 1;\n",
+       "                          fill-opacity: 1;\n",
+       "                          stroke-linecap: round;\n",
+       "                          stroke-linejoin: miter;\n",
+       "                        }\n",
+       "\n",
+       "                    text {\n",
+       "                        /* This fix the spacing bug in svg text*/\n",
+       "                        white-space: pre;\n",
+       "                        fill: black;\n",
+       "                        }\n",
+       "                        rect.backdrop{\n",
+       "                            stroke: none;\n",
+       "                            fill: white;\n",
+       "                        }\n",
+       "                        .broken{\n",
+       "                            stroke-dasharray: 8;\n",
+       "                        }\n",
+       "                        .filled{\n",
+       "                            fill: black;\n",
+       "                        }\n",
+       "                        .bg_filled{\n",
+       "                            fill: white;\n",
+       "                        }\n",
+       "                        .nofill{\n",
+       "                            fill: white;\n",
+       "                        }\n",
+       "\n",
+       "                        text {\n",
+       "                         font-family: monospace;\n",
+       "                         font-size: 14px;\n",
+       "                        }\n",
+       "\n",
+       "                        .end_marked_arrow{\n",
+       "                            marker-end: url(#arrow);\n",
+       "                         }\n",
+       "                        .start_marked_arrow{\n",
+       "                            marker-start: url(#arrow);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_diamond{\n",
+       "                            marker-end: url(#diamond);\n",
+       "                         }\n",
+       "                        .start_marked_diamond{\n",
+       "                            marker-start: url(#diamond);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_circle{\n",
+       "                            marker-end: url(#circle);\n",
+       "                         }\n",
+       "                        .start_marked_circle{\n",
+       "                            marker-start: url(#circle);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_open_circle{\n",
+       "                            marker-end: url(#open_circle);\n",
+       "                         }\n",
+       "                        .start_marked_open_circle{\n",
+       "                            marker-start: url(#open_circle);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_big_open_circle{\n",
+       "                            marker-end: url(#big_open_circle);\n",
+       "                         }\n",
+       "                        .start_marked_big_open_circle{\n",
+       "                            marker-start: url(#big_open_circle);\n",
+       "                         }\n",
+       "\n",
+       "                         \n",
+       "                        </style>\n",
+       "    <defs>\n",
+       "        <marker id=\"arrow\" viewBox=\"-2 -2 8 8\" refX=\"4\" refY=\"2\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <polygon points=\"0,0 0,4 4,2 0,0\"></polygon>\n",
+       "        </marker>\n",
+       "        <marker id=\"diamond\" viewBox=\"-2 -2 8 8\" refX=\"4\" refY=\"2\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <polygon points=\"0,2 2,0 4,2 2,4 0,2\"></polygon>\n",
+       "        </marker>\n",
+       "        <marker id=\"circle\" viewBox=\"0 0 8 8\" refX=\"4\" refY=\"4\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <circle cx=\"4\" cy=\"4\" r=\"2\" class=\"filled\"></circle>\n",
+       "        </marker>\n",
+       "        <marker id=\"open_circle\" viewBox=\"0 0 8 8\" refX=\"4\" refY=\"4\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <circle cx=\"4\" cy=\"4\" r=\"2\" class=\"bg_filled\"></circle>\n",
+       "        </marker>\n",
+       "        <marker id=\"big_open_circle\" viewBox=\"0 0 8 8\" refX=\"4\" refY=\"4\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <circle cx=\"4\" cy=\"4\" r=\"3\" class=\"bg_filled\"></circle>\n",
+       "        </marker>\n",
+       "    </defs>\n",
+       "    <rect x=\"4\" y=\"8\" width=\"32\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"10\" y=\"28\" >i0</text>\n",
+       "    <rect x=\"68\" y=\"8\" width=\"32\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"74\" y=\"28\" >i1</text>\n",
+       "    <rect x=\"132\" y=\"8\" width=\"32\" height=\"32\" class=\"solid nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"138\" y=\"28\" >i2</text>\n",
+       "    <rect x=\"196\" y=\"8\" width=\"32\" height=\"32\" class=\"solid nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"202\" y=\"28\" >i3</text>\n",
+       "    <rect x=\"4\" y=\"72\" width=\"24\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"10\" y=\"92\" >0</text>\n",
+       "    <rect x=\"68\" y=\"72\" width=\"24\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"74\" y=\"92\" >0</text>\n",
+       "    <rect x=\"68\" y=\"120\" width=\"24\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"74\" y=\"140\" >1</text>\n",
+       "    <rect x=\"4\" y=\"216\" width=\"24\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"10\" y=\"236\" >1</text>\n",
+       "    <rect x=\"68\" y=\"264\" width=\"24\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"74\" y=\"284\" >1</text>\n",
+       "    <rect x=\"4\" y=\"360\" width=\"24\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"10\" y=\"380\" >2</text>\n",
+       "    <text x=\"42\" y=\"28\" >p0</text>\n",
+       "    <text x=\"106\" y=\"28\" >p1</text>\n",
+       "    <text x=\"170\" y=\"28\" >p2</text>\n",
+       "    <line x1=\"0\" y1=\"54\" x2=\"232\" y2=\"54\" class=\"solid\"></line>\n",
+       "    <line x1=\"0\" y1=\"58\" x2=\"232\" y2=\"58\" class=\"solid\"></line>\n",
+       "    <text x=\"50\" y=\"76\" >0</text>\n",
+       "    <text x=\"114\" y=\"76\" >0</text>\n",
+       "    <text x=\"178\" y=\"76\" >0</text>\n",
+       "    <text x=\"138\" y=\"92\" >0</text>\n",
+       "    <text x=\"202\" y=\"92\" >1</text>\n",
+       "    <text x=\"114\" y=\"108\" >1</text>\n",
+       "    <text x=\"202\" y=\"108\" >2</text>\n",
+       "    <text x=\"178\" y=\"124\" >2</text>\n",
+       "    <line x1=\"48\" y1=\"136\" x2=\"64\" y2=\"136\" class=\"broken\"></line>\n",
+       "    <text x=\"138\" y=\"140\" >0</text>\n",
+       "    <text x=\"202\" y=\"140\" >0</text>\n",
+       "    <text x=\"202\" y=\"156\" >2</text>\n",
+       "    <text x=\"178\" y=\"172\" >4</text>\n",
+       "    <text x=\"74\" y=\"188\" >2</text>\n",
+       "    <text x=\"138\" y=\"188\" >1</text>\n",
+       "    <text x=\"202\" y=\"188\" >0</text>\n",
+       "    <text x=\"50\" y=\"204\" >3</text>\n",
+       "    <text x=\"114\" y=\"204\" >3</text>\n",
+       "    <text x=\"178\" y=\"204\" >5</text>\n",
+       "    <text x=\"114\" y=\"220\" >3</text>\n",
+       "    <text x=\"74\" y=\"236\" >0</text>\n",
+       "    <text x=\"114\" y=\"268\" >3</text>\n",
+       "    <line x1=\"48\" y1=\"280\" x2=\"64\" y2=\"280\" class=\"broken\"></line>\n",
+       "    <text x=\"138\" y=\"284\" >1</text>\n",
+       "    <text x=\"202\" y=\"284\" >0</text>\n",
+       "    <text x=\"114\" y=\"300\" >4</text>\n",
+       "    <text x=\"202\" y=\"300\" >1</text>\n",
+       "    <text x=\"202\" y=\"316\" >2</text>\n",
+       "    <text x=\"74\" y=\"332\" >2</text>\n",
+       "    <text x=\"178\" y=\"332\" >8</text>\n",
+       "    <text x=\"50\" y=\"348\" >6</text>\n",
+       "    <text x=\"74\" y=\"380\" >0</text>\n",
+       "    <line x1=\"48\" y1=\"424\" x2=\"64\" y2=\"424\" class=\"broken\"></line>\n",
+       "    <text x=\"74\" y=\"428\" >1</text>\n",
+       "    <text x=\"74\" y=\"476\" >2</text>\n",
+       "    <text x=\"50\" y=\"492\" >9</text>\n",
+       "    <text x=\"114\" y=\"364\" >4</text>\n",
+       "    <text x=\"114\" y=\"412\" >4</text>\n",
+       "    <text x=\"114\" y=\"460\" >4</text>\n",
+       "    <text x=\"114\" y=\"492\" >4</text>\n",
+       "    <g>\n",
+       "        <path d=\"M 136,72 A 4,4 0,0,0 132,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"76\" x2=\"132\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"136\" y1=\"72\" x2=\"152\" y2=\"72\" class=\"solid\"></line>\n",
+       "        <path d=\"M 152,72 A 4,4 0,0,1 156,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"76\" x2=\"156\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"96\" y1=\"88\" x2=\"132\" y2=\"88\" class=\"solid\"></line>\n",
+       "        <path d=\"M 132,100 A 4,4 0,0,0 136,104\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"104\" x2=\"152\" y2=\"104\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,100 A 4,4 0,0,1 152,104\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 200,72 A 4,4 0,0,0 196,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"76\" x2=\"196\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"72\" x2=\"216\" y2=\"72\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,72 A 4,4 0,0,1 220,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"76\" x2=\"220\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <line x1=\"156\" y1=\"88\" x2=\"196\" y2=\"88\" class=\"solid\"></line>\n",
+       "        <line x1=\"172\" y1=\"88\" x2=\"172\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <path d=\"M 172,100 A 4,4 0,0,0 176,104\" class=\"nofill\"></path>\n",
+       "        <line x1=\"176\" y1=\"104\" x2=\"196\" y2=\"104\" class=\"solid\"></line>\n",
+       "        <line x1=\"196\" y1=\"120\" x2=\"220\" y2=\"120\" class=\"solid\"></line>\n",
+       "        <line x1=\"196\" y1=\"168\" x2=\"220\" y2=\"168\" class=\"solid\"></line>\n",
+       "        <path d=\"M 196,196 A 4,4 0,0,0 200,200\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"200\" x2=\"216\" y2=\"200\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,196 A 4,4 0,0,1 216,200\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 136,120 A 4,4 0,0,0 132,124\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"124\" x2=\"132\" y2=\"148\" class=\"solid\"></line>\n",
+       "        <line x1=\"136\" y1=\"120\" x2=\"152\" y2=\"120\" class=\"solid\"></line>\n",
+       "        <path d=\"M 152,120 A 4,4 0,0,1 156,124\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"124\" x2=\"156\" y2=\"148\" class=\"solid\"></line>\n",
+       "        <line x1=\"96\" y1=\"136\" x2=\"132\" y2=\"136\" class=\"solid\"></line>\n",
+       "        <line x1=\"108\" y1=\"136\" x2=\"108\" y2=\"180\" class=\"solid\"></line>\n",
+       "        <line x1=\"156\" y1=\"136\" x2=\"196\" y2=\"136\" class=\"solid\"></line>\n",
+       "        <line x1=\"172\" y1=\"136\" x2=\"172\" y2=\"148\" class=\"solid\"></line>\n",
+       "        <path d=\"M 132,148 A 4,4 0,0,0 136,152\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"152\" x2=\"152\" y2=\"152\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,148 A 4,4 0,0,1 152,152\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 172,148 A 4,4 0,0,0 176,152\" class=\"nofill\"></path>\n",
+       "        <line x1=\"176\" y1=\"152\" x2=\"196\" y2=\"152\" class=\"solid\"></line>\n",
+       "        <path d=\"M 108,180 A 4,4 0,0,0 112,184\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 136,168 A 4,4 0,0,0 132,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"172\" x2=\"132\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <line x1=\"136\" y1=\"168\" x2=\"152\" y2=\"168\" class=\"solid\"></line>\n",
+       "        <path d=\"M 152,168 A 4,4 0,0,1 156,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"172\" x2=\"156\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <line x1=\"112\" y1=\"184\" x2=\"132\" y2=\"184\" class=\"solid\"></line>\n",
+       "        <line x1=\"156\" y1=\"184\" x2=\"196\" y2=\"184\" class=\"solid\"></line>\n",
+       "        <path d=\"M 132,196 A 4,4 0,0,0 136,200\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"200\" x2=\"152\" y2=\"200\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,196 A 4,4 0,0,1 152,200\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <line x1=\"32\" y1=\"88\" x2=\"64\" y2=\"88\" class=\"broken\"></line>\n",
+       "        <line x1=\"44\" y1=\"88\" x2=\"44\" y2=\"180\" class=\"broken\"></line>\n",
+       "        <path d=\"M 44,180 A 4,4 0,0,0 48,184\" class=\"nofill\"></path>\n",
+       "        <line x1=\"48\" y1=\"184\" x2=\"64\" y2=\"184\" class=\"broken\"></line>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 72,168 A 4,4 0,0,0 68,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"68\" y1=\"172\" x2=\"68\" y2=\"196\" class=\"broken\"></line>\n",
+       "        <line x1=\"72\" y1=\"168\" x2=\"88\" y2=\"168\" class=\"broken\"></line>\n",
+       "        <path d=\"M 88,168 A 4,4 0,0,1 92,172\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 88,168 A 8,8 0,0,1 94,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"92\" y1=\"172\" x2=\"92\" y2=\"196\" class=\"broken\"></line>\n",
+       "        <line x1=\"94\" y1=\"172\" x2=\"96\" y2=\"176\" class=\"solid\"></line>\n",
+       "        <path d=\"M 96,176 A 16,16 0,0,1 96,192\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 68,196 A 4,4 0,0,0 72,200\" class=\"nofill\"></path>\n",
+       "        <line x1=\"72\" y1=\"200\" x2=\"88\" y2=\"200\" class=\"broken\"></line>\n",
+       "        <line x1=\"96\" y1=\"192\" x2=\"94\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <path d=\"M 92,196 A 4,4 0,0,1 88,200\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 94,196 A 8,8 0,0,1 88,200\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 72,216 A 4,4 0,0,0 68,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"68\" y1=\"220\" x2=\"68\" y2=\"244\" class=\"broken\"></line>\n",
+       "        <line x1=\"72\" y1=\"216\" x2=\"88\" y2=\"216\" class=\"broken\"></line>\n",
+       "        <path d=\"M 88,216 A 4,4 0,0,1 92,220\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 88,216 A 8,8 0,0,1 94,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"92\" y1=\"220\" x2=\"92\" y2=\"244\" class=\"broken\"></line>\n",
+       "        <line x1=\"94\" y1=\"220\" x2=\"96\" y2=\"224\" class=\"solid\"></line>\n",
+       "        <path d=\"M 96,224 A 16,16 0,0,1 96,240\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 68,244 A 4,4 0,0,0 72,248\" class=\"nofill\"></path>\n",
+       "        <line x1=\"72\" y1=\"248\" x2=\"88\" y2=\"248\" class=\"broken\"></line>\n",
+       "        <line x1=\"96\" y1=\"240\" x2=\"94\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <path d=\"M 92,244 A 4,4 0,0,1 88,248\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 94,244 A 8,8 0,0,1 88,248\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <line x1=\"32\" y1=\"232\" x2=\"64\" y2=\"232\" class=\"broken\"></line>\n",
+       "        <line x1=\"44\" y1=\"232\" x2=\"44\" y2=\"324\" class=\"broken\"></line>\n",
+       "        <path d=\"M 44,324 A 4,4 0,0,0 48,328\" class=\"nofill\"></path>\n",
+       "        <line x1=\"48\" y1=\"328\" x2=\"64\" y2=\"328\" class=\"broken\"></line>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 136,264 A 4,4 0,0,0 132,268\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"268\" x2=\"132\" y2=\"292\" class=\"solid\"></line>\n",
+       "        <line x1=\"136\" y1=\"264\" x2=\"152\" y2=\"264\" class=\"solid\"></line>\n",
+       "        <path d=\"M 152,264 A 4,4 0,0,1 156,268\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"268\" x2=\"156\" y2=\"292\" class=\"solid\"></line>\n",
+       "        <line x1=\"96\" y1=\"280\" x2=\"132\" y2=\"280\" class=\"solid\"></line>\n",
+       "        <path d=\"M 132,292 A 4,4 0,0,0 136,296\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"296\" x2=\"152\" y2=\"296\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,292 A 4,4 0,0,1 152,296\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 200,264 A 4,4 0,0,0 196,268\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"268\" x2=\"196\" y2=\"324\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"264\" x2=\"216\" y2=\"264\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,264 A 4,4 0,0,1 220,268\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"268\" x2=\"220\" y2=\"324\" class=\"solid\"></line>\n",
+       "        <line x1=\"156\" y1=\"280\" x2=\"196\" y2=\"280\" class=\"solid\"></line>\n",
+       "        <line x1=\"172\" y1=\"280\" x2=\"172\" y2=\"308\" class=\"solid\"></line>\n",
+       "        <line x1=\"172\" y1=\"296\" x2=\"196\" y2=\"296\" class=\"solid\"></line>\n",
+       "        <path d=\"M 172,308 A 4,4 0,0,0 176,312\" class=\"nofill\"></path>\n",
+       "        <line x1=\"176\" y1=\"312\" x2=\"196\" y2=\"312\" class=\"solid\"></line>\n",
+       "        <path d=\"M 196,324 A 4,4 0,0,0 200,328\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"328\" x2=\"216\" y2=\"328\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,324 A 4,4 0,0,1 216,328\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 72,312 A 4,4 0,0,0 68,316\" class=\"nofill\"></path>\n",
+       "        <line x1=\"68\" y1=\"316\" x2=\"68\" y2=\"340\" class=\"broken\"></line>\n",
+       "        <line x1=\"72\" y1=\"312\" x2=\"88\" y2=\"312\" class=\"broken\"></line>\n",
+       "        <path d=\"M 88,312 A 4,4 0,0,1 92,316\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 88,312 A 8,8 0,0,1 94,316\" class=\"nofill\"></path>\n",
+       "        <line x1=\"92\" y1=\"316\" x2=\"92\" y2=\"340\" class=\"broken\"></line>\n",
+       "        <line x1=\"94\" y1=\"316\" x2=\"96\" y2=\"320\" class=\"solid\"></line>\n",
+       "        <path d=\"M 96,320 A 16,16 0,0,1 96,336\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 68,340 A 4,4 0,0,0 72,344\" class=\"nofill\"></path>\n",
+       "        <line x1=\"72\" y1=\"344\" x2=\"88\" y2=\"344\" class=\"broken\"></line>\n",
+       "        <line x1=\"96\" y1=\"336\" x2=\"94\" y2=\"340\" class=\"solid\"></line>\n",
+       "        <path d=\"M 92,340 A 4,4 0,0,1 88,344\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 94,340 A 8,8 0,0,1 88,344\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 72,360 A 4,4 0,0,0 68,364\" class=\"nofill\"></path>\n",
+       "        <line x1=\"68\" y1=\"364\" x2=\"68\" y2=\"388\" class=\"broken\"></line>\n",
+       "        <line x1=\"72\" y1=\"360\" x2=\"88\" y2=\"360\" class=\"broken\"></line>\n",
+       "        <path d=\"M 88,360 A 4,4 0,0,1 92,364\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 88,360 A 8,8 0,0,1 94,364\" class=\"nofill\"></path>\n",
+       "        <line x1=\"92\" y1=\"364\" x2=\"92\" y2=\"388\" class=\"broken\"></line>\n",
+       "        <line x1=\"94\" y1=\"364\" x2=\"96\" y2=\"368\" class=\"solid\"></line>\n",
+       "        <path d=\"M 96,368 A 16,16 0,0,1 96,384\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 68,388 A 4,4 0,0,0 72,392\" class=\"nofill\"></path>\n",
+       "        <line x1=\"72\" y1=\"392\" x2=\"88\" y2=\"392\" class=\"broken\"></line>\n",
+       "        <line x1=\"96\" y1=\"384\" x2=\"94\" y2=\"388\" class=\"solid\"></line>\n",
+       "        <path d=\"M 92,388 A 4,4 0,0,1 88,392\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 94,388 A 8,8 0,0,1 88,392\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <line x1=\"32\" y1=\"376\" x2=\"64\" y2=\"376\" class=\"broken\"></line>\n",
+       "        <line x1=\"44\" y1=\"376\" x2=\"44\" y2=\"468\" class=\"broken\"></line>\n",
+       "        <path d=\"M 44,468 A 4,4 0,0,0 48,472\" class=\"nofill\"></path>\n",
+       "        <line x1=\"48\" y1=\"472\" x2=\"64\" y2=\"472\" class=\"broken\"></line>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 72,408 A 4,4 0,0,0 68,412\" class=\"nofill\"></path>\n",
+       "        <line x1=\"68\" y1=\"412\" x2=\"68\" y2=\"436\" class=\"broken\"></line>\n",
+       "        <line x1=\"72\" y1=\"408\" x2=\"88\" y2=\"408\" class=\"broken\"></line>\n",
+       "        <path d=\"M 88,408 A 4,4 0,0,1 92,412\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 88,408 A 8,8 0,0,1 94,412\" class=\"nofill\"></path>\n",
+       "        <line x1=\"92\" y1=\"412\" x2=\"92\" y2=\"436\" class=\"broken\"></line>\n",
+       "        <line x1=\"94\" y1=\"412\" x2=\"96\" y2=\"416\" class=\"solid\"></line>\n",
+       "        <path d=\"M 96,416 A 16,16 0,0,1 96,432\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 68,436 A 4,4 0,0,0 72,440\" class=\"nofill\"></path>\n",
+       "        <line x1=\"72\" y1=\"440\" x2=\"88\" y2=\"440\" class=\"broken\"></line>\n",
+       "        <line x1=\"96\" y1=\"432\" x2=\"94\" y2=\"436\" class=\"solid\"></line>\n",
+       "        <path d=\"M 92,436 A 4,4 0,0,1 88,440\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 94,436 A 8,8 0,0,1 88,440\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 72,456 A 4,4 0,0,0 68,460\" class=\"nofill\"></path>\n",
+       "        <line x1=\"68\" y1=\"460\" x2=\"68\" y2=\"484\" class=\"broken\"></line>\n",
+       "        <line x1=\"72\" y1=\"456\" x2=\"88\" y2=\"456\" class=\"broken\"></line>\n",
+       "        <path d=\"M 88,456 A 4,4 0,0,1 92,460\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 88,456 A 8,8 0,0,1 94,460\" class=\"nofill\"></path>\n",
+       "        <line x1=\"92\" y1=\"460\" x2=\"92\" y2=\"484\" class=\"broken\"></line>\n",
+       "        <line x1=\"94\" y1=\"460\" x2=\"96\" y2=\"464\" class=\"solid\"></line>\n",
+       "        <path d=\"M 96,464 A 16,16 0,0,1 96,480\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 68,484 A 4,4 0,0,0 72,488\" class=\"nofill\"></path>\n",
+       "        <line x1=\"72\" y1=\"488\" x2=\"88\" y2=\"488\" class=\"broken\"></line>\n",
+       "        <line x1=\"96\" y1=\"480\" x2=\"94\" y2=\"484\" class=\"solid\"></line>\n",
+       "        <path d=\"M 92,484 A 4,4 0,0,1 88,488\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 94,484 A 8,8 0,0,1 88,488\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "</svg>"
+      ],
+      "text/plain": [
+       ".~~~.   .~~~.   .---.   .---.\n",
+       "┊i0 ┊p0 ┊i1 ┊p1 |i2 |p2 |i3 |\n",
+       "`~~~'   `~~~'   `---'   `---'\n",
+       "=============================\n",
+       ".~~.  0 .~~.  0 .--.  0 .--.\n",
+       "┊0 ┊~+~~┊0 ┊----|0 |-+--|1 |\n",
+       "`~~' ┊  `~~'  1 `--' `--|2 |\n",
+       "     ┊  .~~.    .--.  2 |--|\n",
+       "     ┊~~┊1 ┊-+--|0 |-+--|0 |\n",
+       "     ┊  `~~' |  `--' `--|2 |\n",
+       "     ┊  .~~. |  .--.  4 |--|\n",
+       "     `~~┊2 ┊)`--|1 |----|0 |\n",
+       "      3 `~~'  3 `--'  5 `--'\n",
+       ".~~.    .~~.  3\n",
+       "┊1 ┊~+~~┊0 ┊)\n",
+       "`~~' ┊  `~~'\n",
+       "     ┊  .~~.  3 .--.    .--.\n",
+       "     ┊~~┊1 ┊----|1 |-+--|0 |\n",
+       "     ┊  `~~'  4 `--' |--|1 |\n",
+       "     ┊  .~~.         `--|2 |\n",
+       "     `~~┊2 ┊)         8 `--'\n",
+       "      6 `~~'\n",
+       ".~~.    .~~.  4\n",
+       "┊2 ┊~+~~┊0 ┊)\n",
+       "`~~' ┊  `~~'\n",
+       "     ┊  .~~.  4\n",
+       "     ┊~~┊1 ┊)\n",
+       "     ┊  `~~'\n",
+       "     ┊  .~~.  4\n",
+       "     `~~┊2 ┊)\n",
+       "      9 `~~'  4"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "text/markdown": [
+       "# C-DC-S-S"
+      ],
+      "text/plain": [
+       "<IPython.core.display.Markdown object>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "image/svg+xml": [
+       "<svg xmlns=\"http://www.w3.org/2000/svg\" width=\"240\" height=\"464\">\n",
+       "    <style>line, path, circle,rect,polygon {\n",
+       "                          stroke: black;\n",
+       "                          stroke-width: 2;\n",
+       "                          stroke-opacity: 1;\n",
+       "                          fill-opacity: 1;\n",
+       "                          stroke-linecap: round;\n",
+       "                          stroke-linejoin: miter;\n",
+       "                        }\n",
+       "\n",
+       "                    text {\n",
+       "                        /* This fix the spacing bug in svg text*/\n",
+       "                        white-space: pre;\n",
+       "                        fill: black;\n",
+       "                        }\n",
+       "                        rect.backdrop{\n",
+       "                            stroke: none;\n",
+       "                            fill: white;\n",
+       "                        }\n",
+       "                        .broken{\n",
+       "                            stroke-dasharray: 8;\n",
+       "                        }\n",
+       "                        .filled{\n",
+       "                            fill: black;\n",
+       "                        }\n",
+       "                        .bg_filled{\n",
+       "                            fill: white;\n",
+       "                        }\n",
+       "                        .nofill{\n",
+       "                            fill: white;\n",
+       "                        }\n",
+       "\n",
+       "                        text {\n",
+       "                         font-family: monospace;\n",
+       "                         font-size: 14px;\n",
+       "                        }\n",
+       "\n",
+       "                        .end_marked_arrow{\n",
+       "                            marker-end: url(#arrow);\n",
+       "                         }\n",
+       "                        .start_marked_arrow{\n",
+       "                            marker-start: url(#arrow);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_diamond{\n",
+       "                            marker-end: url(#diamond);\n",
+       "                         }\n",
+       "                        .start_marked_diamond{\n",
+       "                            marker-start: url(#diamond);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_circle{\n",
+       "                            marker-end: url(#circle);\n",
+       "                         }\n",
+       "                        .start_marked_circle{\n",
+       "                            marker-start: url(#circle);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_open_circle{\n",
+       "                            marker-end: url(#open_circle);\n",
+       "                         }\n",
+       "                        .start_marked_open_circle{\n",
+       "                            marker-start: url(#open_circle);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_big_open_circle{\n",
+       "                            marker-end: url(#big_open_circle);\n",
+       "                         }\n",
+       "                        .start_marked_big_open_circle{\n",
+       "                            marker-start: url(#big_open_circle);\n",
+       "                         }\n",
+       "\n",
+       "                         \n",
+       "                        </style>\n",
+       "    <defs>\n",
+       "        <marker id=\"arrow\" viewBox=\"-2 -2 8 8\" refX=\"4\" refY=\"2\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <polygon points=\"0,0 0,4 4,2 0,0\"></polygon>\n",
+       "        </marker>\n",
+       "        <marker id=\"diamond\" viewBox=\"-2 -2 8 8\" refX=\"4\" refY=\"2\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <polygon points=\"0,2 2,0 4,2 2,4 0,2\"></polygon>\n",
+       "        </marker>\n",
+       "        <marker id=\"circle\" viewBox=\"0 0 8 8\" refX=\"4\" refY=\"4\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <circle cx=\"4\" cy=\"4\" r=\"2\" class=\"filled\"></circle>\n",
+       "        </marker>\n",
+       "        <marker id=\"open_circle\" viewBox=\"0 0 8 8\" refX=\"4\" refY=\"4\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <circle cx=\"4\" cy=\"4\" r=\"2\" class=\"bg_filled\"></circle>\n",
+       "        </marker>\n",
+       "        <marker id=\"big_open_circle\" viewBox=\"0 0 8 8\" refX=\"4\" refY=\"4\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <circle cx=\"4\" cy=\"4\" r=\"3\" class=\"bg_filled\"></circle>\n",
+       "        </marker>\n",
+       "    </defs>\n",
+       "    <rect x=\"4\" y=\"8\" width=\"32\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"10\" y=\"28\" >i0</text>\n",
+       "    <rect x=\"68\" y=\"8\" width=\"32\" height=\"32\" class=\"solid nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"74\" y=\"28\" >i1</text>\n",
+       "    <rect x=\"132\" y=\"8\" width=\"32\" height=\"32\" class=\"solid nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"138\" y=\"28\" >i2</text>\n",
+       "    <rect x=\"196\" y=\"8\" width=\"32\" height=\"32\" class=\"solid nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"202\" y=\"28\" >i3</text>\n",
+       "    <rect x=\"4\" y=\"72\" width=\"24\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"10\" y=\"92\" >0</text>\n",
+       "    <rect x=\"4\" y=\"312\" width=\"24\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"10\" y=\"332\" >1</text>\n",
+       "    <text x=\"42\" y=\"28\" >p0</text>\n",
+       "    <text x=\"106\" y=\"28\" >p1</text>\n",
+       "    <text x=\"170\" y=\"28\" >p2</text>\n",
+       "    <line x1=\"0\" y1=\"54\" x2=\"232\" y2=\"54\" class=\"solid\"></line>\n",
+       "    <line x1=\"0\" y1=\"58\" x2=\"232\" y2=\"58\" class=\"solid\"></line>\n",
+       "    <text x=\"50\" y=\"76\" >0</text>\n",
+       "    <text x=\"114\" y=\"76\" >0</text>\n",
+       "    <text x=\"178\" y=\"76\" >0</text>\n",
+       "    <text x=\"74\" y=\"92\" >0</text>\n",
+       "    <text x=\"138\" y=\"92\" >0</text>\n",
+       "    <text x=\"202\" y=\"92\" >1</text>\n",
+       "    <text x=\"178\" y=\"108\" >1</text>\n",
+       "    <text x=\"138\" y=\"140\" >0</text>\n",
+       "    <text x=\"202\" y=\"140\" >2</text>\n",
+       "    <text x=\"114\" y=\"156\" >2</text>\n",
+       "    <text x=\"178\" y=\"156\" >2</text>\n",
+       "    <text x=\"74\" y=\"188\" >1</text>\n",
+       "    <text x=\"138\" y=\"188\" >0</text>\n",
+       "    <text x=\"202\" y=\"188\" >0</text>\n",
+       "    <text x=\"50\" y=\"204\" >2</text>\n",
+       "    <text x=\"178\" y=\"204\" >3</text>\n",
+       "    <text x=\"138\" y=\"236\" >0</text>\n",
+       "    <text x=\"202\" y=\"236\" >2</text>\n",
+       "    <text x=\"178\" y=\"252\" >4</text>\n",
+       "    <text x=\"138\" y=\"284\" >1</text>\n",
+       "    <text x=\"202\" y=\"284\" >0</text>\n",
+       "    <text x=\"114\" y=\"300\" >5</text>\n",
+       "    <text x=\"178\" y=\"300\" >5</text>\n",
+       "    <text x=\"74\" y=\"332\" >1</text>\n",
+       "    <text x=\"138\" y=\"332\" >1</text>\n",
+       "    <text x=\"202\" y=\"332\" >0</text>\n",
+       "    <text x=\"50\" y=\"348\" >3</text>\n",
+       "    <text x=\"178\" y=\"348\" >6</text>\n",
+       "    <text x=\"10\" y=\"380\" >2</text>\n",
+       "    <text x=\"138\" y=\"380\" >1</text>\n",
+       "    <text x=\"202\" y=\"380\" >1</text>\n",
+       "    <text x=\"178\" y=\"396\" >7</text>\n",
+       "    <text x=\"138\" y=\"428\" >1</text>\n",
+       "    <text x=\"202\" y=\"428\" >2</text>\n",
+       "    <text x=\"114\" y=\"444\" >8</text>\n",
+       "    <text x=\"178\" y=\"444\" >8</text>\n",
+       "    <text x=\"50\" y=\"396\" >3</text>\n",
+       "    <g>\n",
+       "        <path d=\"M 72,72 A 4,4 0,0,0 68,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"68\" y1=\"76\" x2=\"68\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"72\" y1=\"72\" x2=\"88\" y2=\"72\" class=\"solid\"></line>\n",
+       "        <path d=\"M 88,72 A 4,4 0,0,1 92,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"92\" y1=\"76\" x2=\"92\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"32\" y1=\"88\" x2=\"68\" y2=\"88\" class=\"solid\"></line>\n",
+       "        <line x1=\"44\" y1=\"88\" x2=\"44\" y2=\"180\" class=\"solid\"></line>\n",
+       "        <path d=\"M 68,100 A 4,4 0,0,0 72,104\" class=\"nofill\"></path>\n",
+       "        <line x1=\"72\" y1=\"104\" x2=\"88\" y2=\"104\" class=\"solid\"></line>\n",
+       "        <path d=\"M 92,100 A 4,4 0,0,1 88,104\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 44,180 A 4,4 0,0,0 48,184\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 136,72 A 4,4 0,0,0 132,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"76\" x2=\"132\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"136\" y1=\"72\" x2=\"152\" y2=\"72\" class=\"solid\"></line>\n",
+       "        <path d=\"M 152,72 A 4,4 0,0,1 156,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"76\" x2=\"156\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"92\" y1=\"88\" x2=\"132\" y2=\"88\" class=\"solid\"></line>\n",
+       "        <line x1=\"108\" y1=\"88\" x2=\"108\" y2=\"132\" class=\"solid\"></line>\n",
+       "        <path d=\"M 132,100 A 4,4 0,0,0 136,104\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"104\" x2=\"152\" y2=\"104\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,100 A 4,4 0,0,1 152,104\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 108,132 A 4,4 0,0,0 112,136\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 200,72 A 4,4 0,0,0 196,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"76\" x2=\"196\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"72\" x2=\"216\" y2=\"72\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,72 A 4,4 0,0,1 220,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"76\" x2=\"220\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"156\" y1=\"88\" x2=\"196\" y2=\"88\" class=\"broken\"></line>\n",
+       "        <path d=\"M 196,100 A 4,4 0,0,0 200,104\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"104\" x2=\"216\" y2=\"104\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,100 A 4,4 0,0,1 216,104\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 136,120 A 4,4 0,0,0 132,124\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"124\" x2=\"132\" y2=\"148\" class=\"solid\"></line>\n",
+       "        <line x1=\"136\" y1=\"120\" x2=\"152\" y2=\"120\" class=\"solid\"></line>\n",
+       "        <path d=\"M 152,120 A 4,4 0,0,1 156,124\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"124\" x2=\"156\" y2=\"148\" class=\"solid\"></line>\n",
+       "        <line x1=\"112\" y1=\"136\" x2=\"132\" y2=\"136\" class=\"solid\"></line>\n",
+       "        <path d=\"M 132,148 A 4,4 0,0,0 136,152\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"152\" x2=\"152\" y2=\"152\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,148 A 4,4 0,0,1 152,152\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 200,120 A 4,4 0,0,0 196,124\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"124\" x2=\"196\" y2=\"148\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"120\" x2=\"216\" y2=\"120\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,120 A 4,4 0,0,1 220,124\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"124\" x2=\"220\" y2=\"148\" class=\"solid\"></line>\n",
+       "        <line x1=\"156\" y1=\"136\" x2=\"196\" y2=\"136\" class=\"broken\"></line>\n",
+       "        <path d=\"M 196,148 A 4,4 0,0,0 200,152\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"152\" x2=\"216\" y2=\"152\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,148 A 4,4 0,0,1 216,152\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 72,168 A 4,4 0,0,0 68,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"68\" y1=\"172\" x2=\"68\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <line x1=\"72\" y1=\"168\" x2=\"88\" y2=\"168\" class=\"solid\"></line>\n",
+       "        <path d=\"M 88,168 A 4,4 0,0,1 92,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"92\" y1=\"172\" x2=\"92\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <line x1=\"48\" y1=\"184\" x2=\"68\" y2=\"184\" class=\"solid\"></line>\n",
+       "        <path d=\"M 68,196 A 4,4 0,0,0 72,200\" class=\"nofill\"></path>\n",
+       "        <line x1=\"72\" y1=\"200\" x2=\"88\" y2=\"200\" class=\"solid\"></line>\n",
+       "        <path d=\"M 92,196 A 4,4 0,0,1 88,200\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 136,168 A 4,4 0,0,0 132,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"172\" x2=\"132\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <line x1=\"136\" y1=\"168\" x2=\"152\" y2=\"168\" class=\"solid\"></line>\n",
+       "        <path d=\"M 152,168 A 4,4 0,0,1 156,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"172\" x2=\"156\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <line x1=\"92\" y1=\"184\" x2=\"132\" y2=\"184\" class=\"solid\"></line>\n",
+       "        <line x1=\"108\" y1=\"184\" x2=\"108\" y2=\"276\" class=\"solid\"></line>\n",
+       "        <path d=\"M 132,196 A 4,4 0,0,0 136,200\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"200\" x2=\"152\" y2=\"200\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,196 A 4,4 0,0,1 152,200\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 108,276 A 4,4 0,0,0 112,280\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 200,168 A 4,4 0,0,0 196,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"172\" x2=\"196\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"168\" x2=\"216\" y2=\"168\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,168 A 4,4 0,0,1 220,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"172\" x2=\"220\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <line x1=\"156\" y1=\"184\" x2=\"196\" y2=\"184\" class=\"broken\"></line>\n",
+       "        <path d=\"M 196,196 A 4,4 0,0,0 200,200\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"200\" x2=\"216\" y2=\"200\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,196 A 4,4 0,0,1 216,200\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 136,216 A 4,4 0,0,0 132,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"220\" x2=\"132\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <line x1=\"136\" y1=\"216\" x2=\"152\" y2=\"216\" class=\"solid\"></line>\n",
+       "        <path d=\"M 152,216 A 4,4 0,0,1 156,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"220\" x2=\"156\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <line x1=\"108\" y1=\"232\" x2=\"132\" y2=\"232\" class=\"solid\"></line>\n",
+       "        <path d=\"M 132,244 A 4,4 0,0,0 136,248\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"248\" x2=\"152\" y2=\"248\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,244 A 4,4 0,0,1 152,248\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 200,216 A 4,4 0,0,0 196,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"220\" x2=\"196\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"216\" x2=\"216\" y2=\"216\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,216 A 4,4 0,0,1 220,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"220\" x2=\"220\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <line x1=\"156\" y1=\"232\" x2=\"196\" y2=\"232\" class=\"broken\"></line>\n",
+       "        <path d=\"M 196,244 A 4,4 0,0,0 200,248\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"248\" x2=\"216\" y2=\"248\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,244 A 4,4 0,0,1 216,248\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 136,264 A 4,4 0,0,0 132,268\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"268\" x2=\"132\" y2=\"292\" class=\"solid\"></line>\n",
+       "        <line x1=\"136\" y1=\"264\" x2=\"152\" y2=\"264\" class=\"solid\"></line>\n",
+       "        <path d=\"M 152,264 A 4,4 0,0,1 156,268\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"268\" x2=\"156\" y2=\"292\" class=\"solid\"></line>\n",
+       "        <line x1=\"112\" y1=\"280\" x2=\"132\" y2=\"280\" class=\"solid\"></line>\n",
+       "        <path d=\"M 132,292 A 4,4 0,0,0 136,296\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"296\" x2=\"152\" y2=\"296\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,292 A 4,4 0,0,1 152,296\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 200,264 A 4,4 0,0,0 196,268\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"268\" x2=\"196\" y2=\"292\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"264\" x2=\"216\" y2=\"264\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,264 A 4,4 0,0,1 220,268\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"268\" x2=\"220\" y2=\"292\" class=\"solid\"></line>\n",
+       "        <line x1=\"156\" y1=\"280\" x2=\"196\" y2=\"280\" class=\"broken\"></line>\n",
+       "        <path d=\"M 196,292 A 4,4 0,0,0 200,296\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"296\" x2=\"216\" y2=\"296\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,292 A 4,4 0,0,1 216,296\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 72,312 A 4,4 0,0,0 68,316\" class=\"nofill\"></path>\n",
+       "        <line x1=\"68\" y1=\"316\" x2=\"68\" y2=\"340\" class=\"solid\"></line>\n",
+       "        <line x1=\"72\" y1=\"312\" x2=\"88\" y2=\"312\" class=\"solid\"></line>\n",
+       "        <path d=\"M 88,312 A 4,4 0,0,1 92,316\" class=\"nofill\"></path>\n",
+       "        <line x1=\"92\" y1=\"316\" x2=\"92\" y2=\"340\" class=\"solid\"></line>\n",
+       "        <line x1=\"32\" y1=\"328\" x2=\"68\" y2=\"328\" class=\"solid\"></line>\n",
+       "        <path d=\"M 68,340 A 4,4 0,0,0 72,344\" class=\"nofill\"></path>\n",
+       "        <line x1=\"72\" y1=\"344\" x2=\"88\" y2=\"344\" class=\"solid\"></line>\n",
+       "        <path d=\"M 92,340 A 4,4 0,0,1 88,344\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 136,312 A 4,4 0,0,0 132,316\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"316\" x2=\"132\" y2=\"340\" class=\"solid\"></line>\n",
+       "        <line x1=\"136\" y1=\"312\" x2=\"152\" y2=\"312\" class=\"solid\"></line>\n",
+       "        <path d=\"M 152,312 A 4,4 0,0,1 156,316\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"316\" x2=\"156\" y2=\"340\" class=\"solid\"></line>\n",
+       "        <line x1=\"92\" y1=\"328\" x2=\"132\" y2=\"328\" class=\"solid\"></line>\n",
+       "        <line x1=\"108\" y1=\"328\" x2=\"108\" y2=\"420\" class=\"solid\"></line>\n",
+       "        <path d=\"M 132,340 A 4,4 0,0,0 136,344\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"344\" x2=\"152\" y2=\"344\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,340 A 4,4 0,0,1 152,344\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 108,420 A 4,4 0,0,0 112,424\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 200,312 A 4,4 0,0,0 196,316\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"316\" x2=\"196\" y2=\"340\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"312\" x2=\"216\" y2=\"312\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,312 A 4,4 0,0,1 220,316\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"316\" x2=\"220\" y2=\"340\" class=\"solid\"></line>\n",
+       "        <line x1=\"156\" y1=\"328\" x2=\"196\" y2=\"328\" class=\"broken\"></line>\n",
+       "        <path d=\"M 196,340 A 4,4 0,0,0 200,344\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"344\" x2=\"216\" y2=\"344\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,340 A 4,4 0,0,1 216,344\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 136,360 A 4,4 0,0,0 132,364\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"364\" x2=\"132\" y2=\"388\" class=\"solid\"></line>\n",
+       "        <line x1=\"136\" y1=\"360\" x2=\"152\" y2=\"360\" class=\"solid\"></line>\n",
+       "        <path d=\"M 152,360 A 4,4 0,0,1 156,364\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"364\" x2=\"156\" y2=\"388\" class=\"solid\"></line>\n",
+       "        <line x1=\"108\" y1=\"376\" x2=\"132\" y2=\"376\" class=\"solid\"></line>\n",
+       "        <path d=\"M 132,388 A 4,4 0,0,0 136,392\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"392\" x2=\"152\" y2=\"392\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,388 A 4,4 0,0,1 152,392\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 200,360 A 4,4 0,0,0 196,364\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"364\" x2=\"196\" y2=\"388\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"360\" x2=\"216\" y2=\"360\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,360 A 4,4 0,0,1 220,364\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"364\" x2=\"220\" y2=\"388\" class=\"solid\"></line>\n",
+       "        <line x1=\"156\" y1=\"376\" x2=\"196\" y2=\"376\" class=\"broken\"></line>\n",
+       "        <path d=\"M 196,388 A 4,4 0,0,0 200,392\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"392\" x2=\"216\" y2=\"392\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,388 A 4,4 0,0,1 216,392\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 136,408 A 4,4 0,0,0 132,412\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"412\" x2=\"132\" y2=\"436\" class=\"solid\"></line>\n",
+       "        <line x1=\"136\" y1=\"408\" x2=\"152\" y2=\"408\" class=\"solid\"></line>\n",
+       "        <path d=\"M 152,408 A 4,4 0,0,1 156,412\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"412\" x2=\"156\" y2=\"436\" class=\"solid\"></line>\n",
+       "        <line x1=\"112\" y1=\"424\" x2=\"132\" y2=\"424\" class=\"solid\"></line>\n",
+       "        <path d=\"M 132,436 A 4,4 0,0,0 136,440\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"440\" x2=\"152\" y2=\"440\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,436 A 4,4 0,0,1 152,440\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 200,408 A 4,4 0,0,0 196,412\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"412\" x2=\"196\" y2=\"436\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"408\" x2=\"216\" y2=\"408\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,408 A 4,4 0,0,1 220,412\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"412\" x2=\"220\" y2=\"436\" class=\"solid\"></line>\n",
+       "        <line x1=\"156\" y1=\"424\" x2=\"196\" y2=\"424\" class=\"broken\"></line>\n",
+       "        <path d=\"M 196,436 A 4,4 0,0,0 200,440\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"440\" x2=\"216\" y2=\"440\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,436 A 4,4 0,0,1 216,440\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 8,360 A 4,4 0,0,0 4,364\" class=\"nofill\"></path>\n",
+       "        <line x1=\"4\" y1=\"364\" x2=\"4\" y2=\"388\" class=\"broken\"></line>\n",
+       "        <line x1=\"8\" y1=\"360\" x2=\"24\" y2=\"360\" class=\"broken\"></line>\n",
+       "        <path d=\"M 24,360 A 4,4 0,0,1 28,364\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 24,360 A 8,8 0,0,1 30,364\" class=\"nofill\"></path>\n",
+       "        <line x1=\"28\" y1=\"364\" x2=\"28\" y2=\"388\" class=\"broken\"></line>\n",
+       "        <line x1=\"30\" y1=\"364\" x2=\"32\" y2=\"368\" class=\"solid\"></line>\n",
+       "        <path d=\"M 32,368 A 16,16 0,0,1 32,384\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 4,388 A 4,4 0,0,0 8,392\" class=\"nofill\"></path>\n",
+       "        <line x1=\"8\" y1=\"392\" x2=\"24\" y2=\"392\" class=\"broken\"></line>\n",
+       "        <line x1=\"32\" y1=\"384\" x2=\"30\" y2=\"388\" class=\"solid\"></line>\n",
+       "        <path d=\"M 28,388 A 4,4 0,0,1 24,392\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 30,388 A 8,8 0,0,1 24,392\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "</svg>"
+      ],
+      "text/plain": [
+       ".~~~.   .---.   .---.   .---.\n",
+       "┊i0 ┊p0 |i1 |p1 |i2 |p2 |i3 |\n",
+       "`~~~'   `---'   `---'   `---'\n",
+       "=============================\n",
+       ".~~.  0 .--.  0 .--.  0 .--.\n",
+       "┊0 ┊-+--|0 |-+--|0 |~~~~|1 |\n",
+       "`~~' |  `--' |  `--'  1 `--'\n",
+       "     |       |  .--.    .--.\n",
+       "     |       `--|0 |~~~~|2 |\n",
+       "     |        2 `--'  2 `--'\n",
+       "     |  .--.    .--.    .--.\n",
+       "     `--|1 |-+--|0 |~~~~|0 |\n",
+       "      2 `--' |  `--'  3 `--'\n",
+       "             |  .--.    .--.\n",
+       "             |--|0 |~~~~|2 |\n",
+       "             |  `--'  4 `--'\n",
+       "             |  .--.    .--.\n",
+       "             `--|1 |~~~~|0 |\n",
+       "              5 `--'  5 `--'\n",
+       ".~~.    .--.    .--.    .--.\n",
+       "┊1 ┊----|1 |-+--|1 |~~~~|0 |\n",
+       "`~~'  3 `--' |  `--'  6 `--'\n",
+       ".~~.         |  .--.    .--.\n",
+       "┊2 ┊)        |--|1 |~~~~|1 |\n",
+       "`~~'  3      |  `--'  7 `--'\n",
+       "             |  .--.    .--.\n",
+       "             `--|1 |~~~~|2 |\n",
+       "              8 `--'  8 `--'"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "text/markdown": [
+       "# C-DC-C-S"
+      ],
+      "text/plain": [
+       "<IPython.core.display.Markdown object>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "image/svg+xml": [
+       "<svg xmlns=\"http://www.w3.org/2000/svg\" width=\"240\" height=\"528\">\n",
+       "    <style>line, path, circle,rect,polygon {\n",
+       "                          stroke: black;\n",
+       "                          stroke-width: 2;\n",
+       "                          stroke-opacity: 1;\n",
+       "                          fill-opacity: 1;\n",
+       "                          stroke-linecap: round;\n",
+       "                          stroke-linejoin: miter;\n",
+       "                        }\n",
+       "\n",
+       "                    text {\n",
+       "                        /* This fix the spacing bug in svg text*/\n",
+       "                        white-space: pre;\n",
+       "                        fill: black;\n",
+       "                        }\n",
+       "                        rect.backdrop{\n",
+       "                            stroke: none;\n",
+       "                            fill: white;\n",
+       "                        }\n",
+       "                        .broken{\n",
+       "                            stroke-dasharray: 8;\n",
+       "                        }\n",
+       "                        .filled{\n",
+       "                            fill: black;\n",
+       "                        }\n",
+       "                        .bg_filled{\n",
+       "                            fill: white;\n",
+       "                        }\n",
+       "                        .nofill{\n",
+       "                            fill: white;\n",
+       "                        }\n",
+       "\n",
+       "                        text {\n",
+       "                         font-family: monospace;\n",
+       "                         font-size: 14px;\n",
+       "                        }\n",
+       "\n",
+       "                        .end_marked_arrow{\n",
+       "                            marker-end: url(#arrow);\n",
+       "                         }\n",
+       "                        .start_marked_arrow{\n",
+       "                            marker-start: url(#arrow);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_diamond{\n",
+       "                            marker-end: url(#diamond);\n",
+       "                         }\n",
+       "                        .start_marked_diamond{\n",
+       "                            marker-start: url(#diamond);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_circle{\n",
+       "                            marker-end: url(#circle);\n",
+       "                         }\n",
+       "                        .start_marked_circle{\n",
+       "                            marker-start: url(#circle);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_open_circle{\n",
+       "                            marker-end: url(#open_circle);\n",
+       "                         }\n",
+       "                        .start_marked_open_circle{\n",
+       "                            marker-start: url(#open_circle);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_big_open_circle{\n",
+       "                            marker-end: url(#big_open_circle);\n",
+       "                         }\n",
+       "                        .start_marked_big_open_circle{\n",
+       "                            marker-start: url(#big_open_circle);\n",
+       "                         }\n",
+       "\n",
+       "                         \n",
+       "                        </style>\n",
+       "    <defs>\n",
+       "        <marker id=\"arrow\" viewBox=\"-2 -2 8 8\" refX=\"4\" refY=\"2\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <polygon points=\"0,0 0,4 4,2 0,0\"></polygon>\n",
+       "        </marker>\n",
+       "        <marker id=\"diamond\" viewBox=\"-2 -2 8 8\" refX=\"4\" refY=\"2\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <polygon points=\"0,2 2,0 4,2 2,4 0,2\"></polygon>\n",
+       "        </marker>\n",
+       "        <marker id=\"circle\" viewBox=\"0 0 8 8\" refX=\"4\" refY=\"4\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <circle cx=\"4\" cy=\"4\" r=\"2\" class=\"filled\"></circle>\n",
+       "        </marker>\n",
+       "        <marker id=\"open_circle\" viewBox=\"0 0 8 8\" refX=\"4\" refY=\"4\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <circle cx=\"4\" cy=\"4\" r=\"2\" class=\"bg_filled\"></circle>\n",
+       "        </marker>\n",
+       "        <marker id=\"big_open_circle\" viewBox=\"0 0 8 8\" refX=\"4\" refY=\"4\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <circle cx=\"4\" cy=\"4\" r=\"3\" class=\"bg_filled\"></circle>\n",
+       "        </marker>\n",
+       "    </defs>\n",
+       "    <rect x=\"4\" y=\"8\" width=\"32\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"10\" y=\"28\" >i0</text>\n",
+       "    <rect x=\"68\" y=\"8\" width=\"32\" height=\"32\" class=\"solid nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"74\" y=\"28\" >i1</text>\n",
+       "    <rect x=\"132\" y=\"8\" width=\"32\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"138\" y=\"28\" >i2</text>\n",
+       "    <rect x=\"196\" y=\"8\" width=\"32\" height=\"32\" class=\"solid nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"202\" y=\"28\" >i3</text>\n",
+       "    <rect x=\"4\" y=\"72\" width=\"24\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"10\" y=\"92\" >0</text>\n",
+       "    <rect x=\"132\" y=\"72\" width=\"24\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"138\" y=\"92\" >0</text>\n",
+       "    <rect x=\"132\" y=\"216\" width=\"24\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"138\" y=\"236\" >0</text>\n",
+       "    <rect x=\"132\" y=\"264\" width=\"24\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"138\" y=\"284\" >1</text>\n",
+       "    <rect x=\"4\" y=\"360\" width=\"24\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"10\" y=\"380\" >1</text>\n",
+       "    <rect x=\"132\" y=\"408\" width=\"24\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"138\" y=\"428\" >1</text>\n",
+       "    <text x=\"42\" y=\"28\" >p0</text>\n",
+       "    <text x=\"106\" y=\"28\" >p1</text>\n",
+       "    <text x=\"170\" y=\"28\" >p2</text>\n",
+       "    <line x1=\"0\" y1=\"54\" x2=\"232\" y2=\"54\" class=\"solid\"></line>\n",
+       "    <line x1=\"0\" y1=\"58\" x2=\"232\" y2=\"58\" class=\"solid\"></line>\n",
+       "    <text x=\"50\" y=\"76\" >0</text>\n",
+       "    <text x=\"114\" y=\"76\" >0</text>\n",
+       "    <text x=\"178\" y=\"76\" >0</text>\n",
+       "    <text x=\"74\" y=\"92\" >0</text>\n",
+       "    <text x=\"202\" y=\"92\" >1</text>\n",
+       "    <text x=\"202\" y=\"108\" >2</text>\n",
+       "    <text x=\"178\" y=\"124\" >2</text>\n",
+       "    <line x1=\"112\" y1=\"136\" x2=\"128\" y2=\"136\" class=\"broken\"></line>\n",
+       "    <text x=\"138\" y=\"140\" >1</text>\n",
+       "    <text x=\"138\" y=\"188\" >2</text>\n",
+       "    <text x=\"114\" y=\"204\" >3</text>\n",
+       "    <text x=\"178\" y=\"220\" >2</text>\n",
+       "    <text x=\"74\" y=\"236\" >1</text>\n",
+       "    <text x=\"202\" y=\"236\" >0</text>\n",
+       "    <text x=\"50\" y=\"252\" >2</text>\n",
+       "    <text x=\"202\" y=\"252\" >2</text>\n",
+       "    <text x=\"178\" y=\"268\" >4</text>\n",
+       "    <line x1=\"112\" y1=\"280\" x2=\"128\" y2=\"280\" class=\"broken\"></line>\n",
+       "    <text x=\"202\" y=\"284\" >0</text>\n",
+       "    <text x=\"178\" y=\"300\" >5</text>\n",
+       "    <text x=\"138\" y=\"332\" >2</text>\n",
+       "    <text x=\"114\" y=\"348\" >6</text>\n",
+       "    <text x=\"74\" y=\"380\" >1</text>\n",
+       "    <text x=\"138\" y=\"380\" >0</text>\n",
+       "    <text x=\"50\" y=\"396\" >3</text>\n",
+       "    <text x=\"178\" y=\"412\" >5</text>\n",
+       "    <text x=\"10\" y=\"428\" >2</text>\n",
+       "    <line x1=\"112\" y1=\"424\" x2=\"128\" y2=\"424\" class=\"broken\"></line>\n",
+       "    <text x=\"202\" y=\"428\" >0</text>\n",
+       "    <text x=\"202\" y=\"444\" >1</text>\n",
+       "    <text x=\"202\" y=\"460\" >2</text>\n",
+       "    <text x=\"178\" y=\"476\" >8</text>\n",
+       "    <text x=\"138\" y=\"492\" >2</text>\n",
+       "    <text x=\"114\" y=\"508\" >9</text>\n",
+       "    <text x=\"178\" y=\"172\" >2</text>\n",
+       "    <text x=\"178\" y=\"364\" >5</text>\n",
+       "    <text x=\"50\" y=\"444\" >3</text>\n",
+       "    <text x=\"178\" y=\"508\" >8</text>\n",
+       "    <g>\n",
+       "        <path d=\"M 72,72 A 4,4 0,0,0 68,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"68\" y1=\"76\" x2=\"68\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"72\" y1=\"72\" x2=\"88\" y2=\"72\" class=\"solid\"></line>\n",
+       "        <path d=\"M 88,72 A 4,4 0,0,1 92,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"92\" y1=\"76\" x2=\"92\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"32\" y1=\"88\" x2=\"68\" y2=\"88\" class=\"solid\"></line>\n",
+       "        <line x1=\"44\" y1=\"88\" x2=\"44\" y2=\"228\" class=\"solid\"></line>\n",
+       "        <line x1=\"92\" y1=\"88\" x2=\"128\" y2=\"88\" class=\"broken\"></line>\n",
+       "        <line x1=\"108\" y1=\"88\" x2=\"108\" y2=\"180\" class=\"broken\"></line>\n",
+       "        <path d=\"M 68,100 A 4,4 0,0,0 72,104\" class=\"nofill\"></path>\n",
+       "        <line x1=\"72\" y1=\"104\" x2=\"88\" y2=\"104\" class=\"solid\"></line>\n",
+       "        <path d=\"M 92,100 A 4,4 0,0,1 88,104\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 108,180 A 4,4 0,0,0 112,184\" class=\"nofill\"></path>\n",
+       "        <line x1=\"112\" y1=\"184\" x2=\"128\" y2=\"184\" class=\"broken\"></line>\n",
+       "        <path d=\"M 44,228 A 4,4 0,0,0 48,232\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 72,216 A 4,4 0,0,0 68,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"68\" y1=\"220\" x2=\"68\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <line x1=\"72\" y1=\"216\" x2=\"88\" y2=\"216\" class=\"solid\"></line>\n",
+       "        <path d=\"M 88,216 A 4,4 0,0,1 92,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"92\" y1=\"220\" x2=\"92\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <line x1=\"48\" y1=\"232\" x2=\"68\" y2=\"232\" class=\"solid\"></line>\n",
+       "        <line x1=\"92\" y1=\"232\" x2=\"128\" y2=\"232\" class=\"broken\"></line>\n",
+       "        <line x1=\"108\" y1=\"232\" x2=\"108\" y2=\"324\" class=\"broken\"></line>\n",
+       "        <path d=\"M 68,244 A 4,4 0,0,0 72,248\" class=\"nofill\"></path>\n",
+       "        <line x1=\"72\" y1=\"248\" x2=\"88\" y2=\"248\" class=\"solid\"></line>\n",
+       "        <path d=\"M 92,244 A 4,4 0,0,1 88,248\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 108,324 A 4,4 0,0,0 112,328\" class=\"nofill\"></path>\n",
+       "        <line x1=\"112\" y1=\"328\" x2=\"128\" y2=\"328\" class=\"broken\"></line>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 200,72 A 4,4 0,0,0 196,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"76\" x2=\"196\" y2=\"116\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"72\" x2=\"216\" y2=\"72\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,72 A 4,4 0,0,1 220,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"76\" x2=\"220\" y2=\"116\" class=\"solid\"></line>\n",
+       "        <line x1=\"160\" y1=\"88\" x2=\"196\" y2=\"88\" class=\"solid\"></line>\n",
+       "        <line x1=\"172\" y1=\"88\" x2=\"172\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <path d=\"M 172,100 A 4,4 0,0,0 176,104\" class=\"nofill\"></path>\n",
+       "        <line x1=\"176\" y1=\"104\" x2=\"196\" y2=\"104\" class=\"solid\"></line>\n",
+       "        <path d=\"M 196,116 A 4,4 0,0,0 200,120\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"120\" x2=\"216\" y2=\"120\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,116 A 4,4 0,0,1 216,120\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 136,120 A 4,4 0,0,0 132,124\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"124\" x2=\"132\" y2=\"148\" class=\"broken\"></line>\n",
+       "        <line x1=\"136\" y1=\"120\" x2=\"152\" y2=\"120\" class=\"broken\"></line>\n",
+       "        <path d=\"M 152,120 A 4,4 0,0,1 156,124\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 152,120 A 8,8 0,0,1 158,124\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"124\" x2=\"156\" y2=\"148\" class=\"broken\"></line>\n",
+       "        <line x1=\"158\" y1=\"124\" x2=\"160\" y2=\"128\" class=\"solid\"></line>\n",
+       "        <path d=\"M 160,128 A 16,16 0,0,1 160,144\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 132,148 A 4,4 0,0,0 136,152\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"152\" x2=\"152\" y2=\"152\" class=\"broken\"></line>\n",
+       "        <line x1=\"160\" y1=\"144\" x2=\"158\" y2=\"148\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,148 A 4,4 0,0,1 152,152\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 158,148 A 8,8 0,0,1 152,152\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 136,168 A 4,4 0,0,0 132,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"172\" x2=\"132\" y2=\"196\" class=\"broken\"></line>\n",
+       "        <line x1=\"136\" y1=\"168\" x2=\"152\" y2=\"168\" class=\"broken\"></line>\n",
+       "        <path d=\"M 152,168 A 4,4 0,0,1 156,172\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 152,168 A 8,8 0,0,1 158,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"172\" x2=\"156\" y2=\"196\" class=\"broken\"></line>\n",
+       "        <line x1=\"158\" y1=\"172\" x2=\"160\" y2=\"176\" class=\"solid\"></line>\n",
+       "        <path d=\"M 160,176 A 16,16 0,0,1 160,192\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 132,196 A 4,4 0,0,0 136,200\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"200\" x2=\"152\" y2=\"200\" class=\"broken\"></line>\n",
+       "        <line x1=\"160\" y1=\"192\" x2=\"158\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,196 A 4,4 0,0,1 152,200\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 158,196 A 8,8 0,0,1 152,200\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 200,216 A 4,4 0,0,0 196,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"220\" x2=\"196\" y2=\"292\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"216\" x2=\"216\" y2=\"216\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,216 A 4,4 0,0,1 220,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"220\" x2=\"220\" y2=\"292\" class=\"solid\"></line>\n",
+       "        <line x1=\"160\" y1=\"232\" x2=\"196\" y2=\"232\" class=\"solid\"></line>\n",
+       "        <line x1=\"172\" y1=\"232\" x2=\"172\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <path d=\"M 172,244 A 4,4 0,0,0 176,248\" class=\"nofill\"></path>\n",
+       "        <line x1=\"176\" y1=\"248\" x2=\"196\" y2=\"248\" class=\"solid\"></line>\n",
+       "        <line x1=\"196\" y1=\"264\" x2=\"220\" y2=\"264\" class=\"solid\"></line>\n",
+       "        <line x1=\"160\" y1=\"280\" x2=\"196\" y2=\"280\" class=\"solid\"></line>\n",
+       "        <path d=\"M 196,292 A 4,4 0,0,0 200,296\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"296\" x2=\"216\" y2=\"296\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,292 A 4,4 0,0,1 216,296\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 136,312 A 4,4 0,0,0 132,316\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"316\" x2=\"132\" y2=\"340\" class=\"broken\"></line>\n",
+       "        <line x1=\"136\" y1=\"312\" x2=\"152\" y2=\"312\" class=\"broken\"></line>\n",
+       "        <path d=\"M 152,312 A 4,4 0,0,1 156,316\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 152,312 A 8,8 0,0,1 158,316\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"316\" x2=\"156\" y2=\"340\" class=\"broken\"></line>\n",
+       "        <line x1=\"158\" y1=\"316\" x2=\"160\" y2=\"320\" class=\"solid\"></line>\n",
+       "        <path d=\"M 160,320 A 16,16 0,0,1 160,336\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 132,340 A 4,4 0,0,0 136,344\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"344\" x2=\"152\" y2=\"344\" class=\"broken\"></line>\n",
+       "        <line x1=\"160\" y1=\"336\" x2=\"158\" y2=\"340\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,340 A 4,4 0,0,1 152,344\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 158,340 A 8,8 0,0,1 152,344\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 72,360 A 4,4 0,0,0 68,364\" class=\"nofill\"></path>\n",
+       "        <line x1=\"68\" y1=\"364\" x2=\"68\" y2=\"388\" class=\"solid\"></line>\n",
+       "        <line x1=\"72\" y1=\"360\" x2=\"88\" y2=\"360\" class=\"solid\"></line>\n",
+       "        <path d=\"M 88,360 A 4,4 0,0,1 92,364\" class=\"nofill\"></path>\n",
+       "        <line x1=\"92\" y1=\"364\" x2=\"92\" y2=\"388\" class=\"solid\"></line>\n",
+       "        <line x1=\"32\" y1=\"376\" x2=\"68\" y2=\"376\" class=\"solid\"></line>\n",
+       "        <line x1=\"92\" y1=\"376\" x2=\"128\" y2=\"376\" class=\"broken\"></line>\n",
+       "        <line x1=\"108\" y1=\"376\" x2=\"108\" y2=\"484\" class=\"broken\"></line>\n",
+       "        <path d=\"M 68,388 A 4,4 0,0,0 72,392\" class=\"nofill\"></path>\n",
+       "        <line x1=\"72\" y1=\"392\" x2=\"88\" y2=\"392\" class=\"solid\"></line>\n",
+       "        <path d=\"M 92,388 A 4,4 0,0,1 88,392\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 108,484 A 4,4 0,0,0 112,488\" class=\"nofill\"></path>\n",
+       "        <line x1=\"112\" y1=\"488\" x2=\"128\" y2=\"488\" class=\"broken\"></line>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 136,360 A 4,4 0,0,0 132,364\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"364\" x2=\"132\" y2=\"388\" class=\"broken\"></line>\n",
+       "        <line x1=\"136\" y1=\"360\" x2=\"152\" y2=\"360\" class=\"broken\"></line>\n",
+       "        <path d=\"M 152,360 A 4,4 0,0,1 156,364\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 152,360 A 8,8 0,0,1 158,364\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"364\" x2=\"156\" y2=\"388\" class=\"broken\"></line>\n",
+       "        <line x1=\"158\" y1=\"364\" x2=\"160\" y2=\"368\" class=\"solid\"></line>\n",
+       "        <path d=\"M 160,368 A 16,16 0,0,1 160,384\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 132,388 A 4,4 0,0,0 136,392\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"392\" x2=\"152\" y2=\"392\" class=\"broken\"></line>\n",
+       "        <line x1=\"160\" y1=\"384\" x2=\"158\" y2=\"388\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,388 A 4,4 0,0,1 152,392\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 158,388 A 8,8 0,0,1 152,392\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 8,408 A 4,4 0,0,0 4,412\" class=\"nofill\"></path>\n",
+       "        <line x1=\"4\" y1=\"412\" x2=\"4\" y2=\"436\" class=\"broken\"></line>\n",
+       "        <line x1=\"8\" y1=\"408\" x2=\"24\" y2=\"408\" class=\"broken\"></line>\n",
+       "        <path d=\"M 24,408 A 4,4 0,0,1 28,412\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 24,408 A 8,8 0,0,1 30,412\" class=\"nofill\"></path>\n",
+       "        <line x1=\"28\" y1=\"412\" x2=\"28\" y2=\"436\" class=\"broken\"></line>\n",
+       "        <line x1=\"30\" y1=\"412\" x2=\"32\" y2=\"416\" class=\"solid\"></line>\n",
+       "        <path d=\"M 32,416 A 16,16 0,0,1 32,432\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 4,436 A 4,4 0,0,0 8,440\" class=\"nofill\"></path>\n",
+       "        <line x1=\"8\" y1=\"440\" x2=\"24\" y2=\"440\" class=\"broken\"></line>\n",
+       "        <line x1=\"32\" y1=\"432\" x2=\"30\" y2=\"436\" class=\"solid\"></line>\n",
+       "        <path d=\"M 28,436 A 4,4 0,0,1 24,440\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 30,436 A 8,8 0,0,1 24,440\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 200,408 A 4,4 0,0,0 196,412\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"412\" x2=\"196\" y2=\"468\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"408\" x2=\"216\" y2=\"408\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,408 A 4,4 0,0,1 220,412\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"412\" x2=\"220\" y2=\"468\" class=\"solid\"></line>\n",
+       "        <line x1=\"160\" y1=\"424\" x2=\"196\" y2=\"424\" class=\"solid\"></line>\n",
+       "        <line x1=\"172\" y1=\"424\" x2=\"172\" y2=\"452\" class=\"solid\"></line>\n",
+       "        <line x1=\"172\" y1=\"440\" x2=\"196\" y2=\"440\" class=\"solid\"></line>\n",
+       "        <path d=\"M 172,452 A 4,4 0,0,0 176,456\" class=\"nofill\"></path>\n",
+       "        <line x1=\"176\" y1=\"456\" x2=\"196\" y2=\"456\" class=\"solid\"></line>\n",
+       "        <path d=\"M 196,468 A 4,4 0,0,0 200,472\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"472\" x2=\"216\" y2=\"472\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,468 A 4,4 0,0,1 216,472\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 136,472 A 4,4 0,0,0 132,476\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"476\" x2=\"132\" y2=\"500\" class=\"broken\"></line>\n",
+       "        <line x1=\"136\" y1=\"472\" x2=\"152\" y2=\"472\" class=\"broken\"></line>\n",
+       "        <path d=\"M 152,472 A 4,4 0,0,1 156,476\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 152,472 A 8,8 0,0,1 158,476\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"476\" x2=\"156\" y2=\"500\" class=\"broken\"></line>\n",
+       "        <line x1=\"158\" y1=\"476\" x2=\"160\" y2=\"480\" class=\"solid\"></line>\n",
+       "        <path d=\"M 160,480 A 16,16 0,0,1 160,496\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 132,500 A 4,4 0,0,0 136,504\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"504\" x2=\"152\" y2=\"504\" class=\"broken\"></line>\n",
+       "        <line x1=\"160\" y1=\"496\" x2=\"158\" y2=\"500\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,500 A 4,4 0,0,1 152,504\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 158,500 A 8,8 0,0,1 152,504\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "</svg>"
+      ],
+      "text/plain": [
+       ".~~~.   .---.   .~~~.   .---.\n",
+       "┊i0 ┊p0 |i1 |p1 ┊i2 ┊p2 |i3 |\n",
+       "`~~~'   `---'   `~~~'   `---'\n",
+       "=============================\n",
+       ".~~.  0 .--.  0 .~~.  0 .--.\n",
+       "┊0 ┊-+--|0 |~+~~┊0 ┊-+--|1 |\n",
+       "`~~' |  `--' ┊  `~~' `--|2 |\n",
+       "     |       ┊  .~~.  2 `--'\n",
+       "     |       ┊~~┊1 ┊)\n",
+       "     |       ┊  `~~'\n",
+       "     |       ┊  .~~.  2\n",
+       "     |       `~~┊2 ┊)\n",
+       "     |        3 `~~'\n",
+       "     |  .--.    .~~.  2 .--.\n",
+       "     `--|1 |~+~~┊0 ┊-+--|0 |\n",
+       "      2 `--' ┊  `~~' `--|2 |\n",
+       "             ┊  .~~.  4 |--|\n",
+       "             ┊~~┊1 ┊----|0 |\n",
+       "             ┊  `~~'  5 `--'\n",
+       "             ┊  .~~.\n",
+       "             `~~┊2 ┊)\n",
+       "              6 `~~'\n",
+       ".~~.    .--.    .~~.  5\n",
+       "┊1 ┊----|1 |~+~~┊0 ┊)\n",
+       "`~~'  3 `--' ┊  `~~'\n",
+       ".~~.         ┊  .~~.  5 .--.\n",
+       "┊2 ┊)        ┊~~┊1 ┊-+--|0 |\n",
+       "`~~'  3      ┊  `~~' |--|1 |\n",
+       "             ┊       `--|2 |\n",
+       "             ┊  .~~.  8 `--'\n",
+       "             `~~┊2 ┊)\n",
+       "              9 `~~'  8"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "text/markdown": [
+       "# C-DC-DC-S"
+      ],
+      "text/plain": [
+       "<IPython.core.display.Markdown object>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "image/svg+xml": [
+       "<svg xmlns=\"http://www.w3.org/2000/svg\" width=\"240\" height=\"320\">\n",
+       "    <style>line, path, circle,rect,polygon {\n",
+       "                          stroke: black;\n",
+       "                          stroke-width: 2;\n",
+       "                          stroke-opacity: 1;\n",
+       "                          fill-opacity: 1;\n",
+       "                          stroke-linecap: round;\n",
+       "                          stroke-linejoin: miter;\n",
+       "                        }\n",
+       "\n",
+       "                    text {\n",
+       "                        /* This fix the spacing bug in svg text*/\n",
+       "                        white-space: pre;\n",
+       "                        fill: black;\n",
+       "                        }\n",
+       "                        rect.backdrop{\n",
+       "                            stroke: none;\n",
+       "                            fill: white;\n",
+       "                        }\n",
+       "                        .broken{\n",
+       "                            stroke-dasharray: 8;\n",
+       "                        }\n",
+       "                        .filled{\n",
+       "                            fill: black;\n",
+       "                        }\n",
+       "                        .bg_filled{\n",
+       "                            fill: white;\n",
+       "                        }\n",
+       "                        .nofill{\n",
+       "                            fill: white;\n",
+       "                        }\n",
+       "\n",
+       "                        text {\n",
+       "                         font-family: monospace;\n",
+       "                         font-size: 14px;\n",
+       "                        }\n",
+       "\n",
+       "                        .end_marked_arrow{\n",
+       "                            marker-end: url(#arrow);\n",
+       "                         }\n",
+       "                        .start_marked_arrow{\n",
+       "                            marker-start: url(#arrow);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_diamond{\n",
+       "                            marker-end: url(#diamond);\n",
+       "                         }\n",
+       "                        .start_marked_diamond{\n",
+       "                            marker-start: url(#diamond);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_circle{\n",
+       "                            marker-end: url(#circle);\n",
+       "                         }\n",
+       "                        .start_marked_circle{\n",
+       "                            marker-start: url(#circle);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_open_circle{\n",
+       "                            marker-end: url(#open_circle);\n",
+       "                         }\n",
+       "                        .start_marked_open_circle{\n",
+       "                            marker-start: url(#open_circle);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_big_open_circle{\n",
+       "                            marker-end: url(#big_open_circle);\n",
+       "                         }\n",
+       "                        .start_marked_big_open_circle{\n",
+       "                            marker-start: url(#big_open_circle);\n",
+       "                         }\n",
+       "\n",
+       "                         \n",
+       "                        </style>\n",
+       "    <defs>\n",
+       "        <marker id=\"arrow\" viewBox=\"-2 -2 8 8\" refX=\"4\" refY=\"2\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <polygon points=\"0,0 0,4 4,2 0,0\"></polygon>\n",
+       "        </marker>\n",
+       "        <marker id=\"diamond\" viewBox=\"-2 -2 8 8\" refX=\"4\" refY=\"2\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <polygon points=\"0,2 2,0 4,2 2,4 0,2\"></polygon>\n",
+       "        </marker>\n",
+       "        <marker id=\"circle\" viewBox=\"0 0 8 8\" refX=\"4\" refY=\"4\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <circle cx=\"4\" cy=\"4\" r=\"2\" class=\"filled\"></circle>\n",
+       "        </marker>\n",
+       "        <marker id=\"open_circle\" viewBox=\"0 0 8 8\" refX=\"4\" refY=\"4\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <circle cx=\"4\" cy=\"4\" r=\"2\" class=\"bg_filled\"></circle>\n",
+       "        </marker>\n",
+       "        <marker id=\"big_open_circle\" viewBox=\"0 0 8 8\" refX=\"4\" refY=\"4\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <circle cx=\"4\" cy=\"4\" r=\"3\" class=\"bg_filled\"></circle>\n",
+       "        </marker>\n",
+       "    </defs>\n",
+       "    <rect x=\"4\" y=\"8\" width=\"32\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"10\" y=\"28\" >i0</text>\n",
+       "    <rect x=\"68\" y=\"8\" width=\"32\" height=\"32\" class=\"solid nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"74\" y=\"28\" >i1</text>\n",
+       "    <rect x=\"132\" y=\"8\" width=\"32\" height=\"32\" class=\"solid nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"138\" y=\"28\" >i2</text>\n",
+       "    <rect x=\"196\" y=\"8\" width=\"32\" height=\"32\" class=\"solid nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"202\" y=\"28\" >i3</text>\n",
+       "    <rect x=\"4\" y=\"72\" width=\"24\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"10\" y=\"92\" >0</text>\n",
+       "    <rect x=\"4\" y=\"216\" width=\"24\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"10\" y=\"236\" >1</text>\n",
+       "    <text x=\"42\" y=\"28\" >p0</text>\n",
+       "    <text x=\"106\" y=\"28\" >p1</text>\n",
+       "    <text x=\"170\" y=\"28\" >p2</text>\n",
+       "    <line x1=\"0\" y1=\"54\" x2=\"232\" y2=\"54\" class=\"solid\"></line>\n",
+       "    <line x1=\"0\" y1=\"58\" x2=\"232\" y2=\"58\" class=\"solid\"></line>\n",
+       "    <text x=\"50\" y=\"76\" >0</text>\n",
+       "    <text x=\"114\" y=\"76\" >0</text>\n",
+       "    <text x=\"178\" y=\"76\" >0</text>\n",
+       "    <text x=\"74\" y=\"92\" >0</text>\n",
+       "    <text x=\"138\" y=\"92\" >0</text>\n",
+       "    <text x=\"202\" y=\"92\" >1</text>\n",
+       "    <text x=\"114\" y=\"108\" >1</text>\n",
+       "    <text x=\"202\" y=\"108\" >2</text>\n",
+       "    <text x=\"178\" y=\"124\" >2</text>\n",
+       "    <text x=\"74\" y=\"140\" >1</text>\n",
+       "    <text x=\"138\" y=\"140\" >0</text>\n",
+       "    <text x=\"202\" y=\"140\" >0</text>\n",
+       "    <text x=\"50\" y=\"156\" >2</text>\n",
+       "    <text x=\"202\" y=\"156\" >2</text>\n",
+       "    <text x=\"178\" y=\"172\" >4</text>\n",
+       "    <text x=\"138\" y=\"188\" >1</text>\n",
+       "    <text x=\"202\" y=\"188\" >0</text>\n",
+       "    <text x=\"114\" y=\"204\" >3</text>\n",
+       "    <text x=\"178\" y=\"204\" >5</text>\n",
+       "    <text x=\"74\" y=\"236\" >1</text>\n",
+       "    <text x=\"138\" y=\"236\" >1</text>\n",
+       "    <text x=\"202\" y=\"236\" >0</text>\n",
+       "    <text x=\"50\" y=\"252\" >3</text>\n",
+       "    <text x=\"114\" y=\"252\" >4</text>\n",
+       "    <text x=\"202\" y=\"252\" >1</text>\n",
+       "    <text x=\"202\" y=\"268\" >2</text>\n",
+       "    <text x=\"10\" y=\"284\" >2</text>\n",
+       "    <text x=\"178\" y=\"284\" >8</text>\n",
+       "    <text x=\"50\" y=\"300\" >3</text>\n",
+       "    <g>\n",
+       "        <path d=\"M 72,72 A 4,4 0,0,0 68,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"68\" y1=\"76\" x2=\"68\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"72\" y1=\"72\" x2=\"88\" y2=\"72\" class=\"solid\"></line>\n",
+       "        <path d=\"M 88,72 A 4,4 0,0,1 92,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"92\" y1=\"76\" x2=\"92\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"32\" y1=\"88\" x2=\"68\" y2=\"88\" class=\"solid\"></line>\n",
+       "        <line x1=\"44\" y1=\"88\" x2=\"44\" y2=\"132\" class=\"solid\"></line>\n",
+       "        <path d=\"M 68,100 A 4,4 0,0,0 72,104\" class=\"nofill\"></path>\n",
+       "        <line x1=\"72\" y1=\"104\" x2=\"88\" y2=\"104\" class=\"solid\"></line>\n",
+       "        <path d=\"M 92,100 A 4,4 0,0,1 88,104\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 44,132 A 4,4 0,0,0 48,136\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 136,72 A 4,4 0,0,0 132,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"76\" x2=\"132\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"136\" y1=\"72\" x2=\"152\" y2=\"72\" class=\"solid\"></line>\n",
+       "        <path d=\"M 152,72 A 4,4 0,0,1 156,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"76\" x2=\"156\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"92\" y1=\"88\" x2=\"132\" y2=\"88\" class=\"solid\"></line>\n",
+       "        <path d=\"M 132,100 A 4,4 0,0,0 136,104\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"104\" x2=\"152\" y2=\"104\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,100 A 4,4 0,0,1 152,104\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 200,72 A 4,4 0,0,0 196,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"76\" x2=\"196\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"72\" x2=\"216\" y2=\"72\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,72 A 4,4 0,0,1 220,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"76\" x2=\"220\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <line x1=\"156\" y1=\"88\" x2=\"196\" y2=\"88\" class=\"solid\"></line>\n",
+       "        <line x1=\"172\" y1=\"88\" x2=\"172\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <path d=\"M 172,100 A 4,4 0,0,0 176,104\" class=\"nofill\"></path>\n",
+       "        <line x1=\"176\" y1=\"104\" x2=\"196\" y2=\"104\" class=\"solid\"></line>\n",
+       "        <line x1=\"196\" y1=\"120\" x2=\"220\" y2=\"120\" class=\"solid\"></line>\n",
+       "        <line x1=\"196\" y1=\"168\" x2=\"220\" y2=\"168\" class=\"solid\"></line>\n",
+       "        <path d=\"M 196,196 A 4,4 0,0,0 200,200\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"200\" x2=\"216\" y2=\"200\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,196 A 4,4 0,0,1 216,200\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 72,120 A 4,4 0,0,0 68,124\" class=\"nofill\"></path>\n",
+       "        <line x1=\"68\" y1=\"124\" x2=\"68\" y2=\"148\" class=\"solid\"></line>\n",
+       "        <line x1=\"72\" y1=\"120\" x2=\"88\" y2=\"120\" class=\"solid\"></line>\n",
+       "        <path d=\"M 88,120 A 4,4 0,0,1 92,124\" class=\"nofill\"></path>\n",
+       "        <line x1=\"92\" y1=\"124\" x2=\"92\" y2=\"148\" class=\"solid\"></line>\n",
+       "        <line x1=\"48\" y1=\"136\" x2=\"68\" y2=\"136\" class=\"solid\"></line>\n",
+       "        <path d=\"M 68,148 A 4,4 0,0,0 72,152\" class=\"nofill\"></path>\n",
+       "        <line x1=\"72\" y1=\"152\" x2=\"88\" y2=\"152\" class=\"solid\"></line>\n",
+       "        <path d=\"M 92,148 A 4,4 0,0,1 88,152\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 136,120 A 4,4 0,0,0 132,124\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"124\" x2=\"132\" y2=\"148\" class=\"solid\"></line>\n",
+       "        <line x1=\"136\" y1=\"120\" x2=\"152\" y2=\"120\" class=\"solid\"></line>\n",
+       "        <path d=\"M 152,120 A 4,4 0,0,1 156,124\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"124\" x2=\"156\" y2=\"148\" class=\"solid\"></line>\n",
+       "        <line x1=\"92\" y1=\"136\" x2=\"132\" y2=\"136\" class=\"solid\"></line>\n",
+       "        <line x1=\"108\" y1=\"136\" x2=\"108\" y2=\"180\" class=\"solid\"></line>\n",
+       "        <line x1=\"156\" y1=\"136\" x2=\"196\" y2=\"136\" class=\"solid\"></line>\n",
+       "        <line x1=\"172\" y1=\"136\" x2=\"172\" y2=\"148\" class=\"solid\"></line>\n",
+       "        <path d=\"M 132,148 A 4,4 0,0,0 136,152\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"152\" x2=\"152\" y2=\"152\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,148 A 4,4 0,0,1 152,152\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 172,148 A 4,4 0,0,0 176,152\" class=\"nofill\"></path>\n",
+       "        <line x1=\"176\" y1=\"152\" x2=\"196\" y2=\"152\" class=\"solid\"></line>\n",
+       "        <path d=\"M 108,180 A 4,4 0,0,0 112,184\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 136,168 A 4,4 0,0,0 132,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"172\" x2=\"132\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <line x1=\"136\" y1=\"168\" x2=\"152\" y2=\"168\" class=\"solid\"></line>\n",
+       "        <path d=\"M 152,168 A 4,4 0,0,1 156,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"172\" x2=\"156\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <line x1=\"112\" y1=\"184\" x2=\"132\" y2=\"184\" class=\"solid\"></line>\n",
+       "        <line x1=\"156\" y1=\"184\" x2=\"196\" y2=\"184\" class=\"solid\"></line>\n",
+       "        <path d=\"M 132,196 A 4,4 0,0,0 136,200\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"200\" x2=\"152\" y2=\"200\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,196 A 4,4 0,0,1 152,200\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 72,216 A 4,4 0,0,0 68,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"68\" y1=\"220\" x2=\"68\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <line x1=\"72\" y1=\"216\" x2=\"88\" y2=\"216\" class=\"solid\"></line>\n",
+       "        <path d=\"M 88,216 A 4,4 0,0,1 92,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"92\" y1=\"220\" x2=\"92\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <line x1=\"32\" y1=\"232\" x2=\"68\" y2=\"232\" class=\"solid\"></line>\n",
+       "        <path d=\"M 68,244 A 4,4 0,0,0 72,248\" class=\"nofill\"></path>\n",
+       "        <line x1=\"72\" y1=\"248\" x2=\"88\" y2=\"248\" class=\"solid\"></line>\n",
+       "        <path d=\"M 92,244 A 4,4 0,0,1 88,248\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 136,216 A 4,4 0,0,0 132,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"220\" x2=\"132\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <line x1=\"136\" y1=\"216\" x2=\"152\" y2=\"216\" class=\"solid\"></line>\n",
+       "        <path d=\"M 152,216 A 4,4 0,0,1 156,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"220\" x2=\"156\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <line x1=\"92\" y1=\"232\" x2=\"132\" y2=\"232\" class=\"solid\"></line>\n",
+       "        <path d=\"M 132,244 A 4,4 0,0,0 136,248\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"248\" x2=\"152\" y2=\"248\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,244 A 4,4 0,0,1 152,248\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 200,216 A 4,4 0,0,0 196,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"220\" x2=\"196\" y2=\"276\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"216\" x2=\"216\" y2=\"216\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,216 A 4,4 0,0,1 220,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"220\" x2=\"220\" y2=\"276\" class=\"solid\"></line>\n",
+       "        <line x1=\"156\" y1=\"232\" x2=\"196\" y2=\"232\" class=\"solid\"></line>\n",
+       "        <line x1=\"172\" y1=\"232\" x2=\"172\" y2=\"260\" class=\"solid\"></line>\n",
+       "        <line x1=\"172\" y1=\"248\" x2=\"196\" y2=\"248\" class=\"solid\"></line>\n",
+       "        <path d=\"M 172,260 A 4,4 0,0,0 176,264\" class=\"nofill\"></path>\n",
+       "        <line x1=\"176\" y1=\"264\" x2=\"196\" y2=\"264\" class=\"solid\"></line>\n",
+       "        <path d=\"M 196,276 A 4,4 0,0,0 200,280\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"280\" x2=\"216\" y2=\"280\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,276 A 4,4 0,0,1 216,280\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 8,264 A 4,4 0,0,0 4,268\" class=\"nofill\"></path>\n",
+       "        <line x1=\"4\" y1=\"268\" x2=\"4\" y2=\"292\" class=\"broken\"></line>\n",
+       "        <line x1=\"8\" y1=\"264\" x2=\"24\" y2=\"264\" class=\"broken\"></line>\n",
+       "        <path d=\"M 24,264 A 4,4 0,0,1 28,268\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 24,264 A 8,8 0,0,1 30,268\" class=\"nofill\"></path>\n",
+       "        <line x1=\"28\" y1=\"268\" x2=\"28\" y2=\"292\" class=\"broken\"></line>\n",
+       "        <line x1=\"30\" y1=\"268\" x2=\"32\" y2=\"272\" class=\"solid\"></line>\n",
+       "        <path d=\"M 32,272 A 16,16 0,0,1 32,288\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 4,292 A 4,4 0,0,0 8,296\" class=\"nofill\"></path>\n",
+       "        <line x1=\"8\" y1=\"296\" x2=\"24\" y2=\"296\" class=\"broken\"></line>\n",
+       "        <line x1=\"32\" y1=\"288\" x2=\"30\" y2=\"292\" class=\"solid\"></line>\n",
+       "        <path d=\"M 28,292 A 4,4 0,0,1 24,296\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 30,292 A 8,8 0,0,1 24,296\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "</svg>"
+      ],
+      "text/plain": [
+       ".~~~.   .---.   .---.   .---.\n",
+       "┊i0 ┊p0 |i1 |p1 |i2 |p2 |i3 |\n",
+       "`~~~'   `---'   `---'   `---'\n",
+       "=============================\n",
+       ".~~.  0 .--.  0 .--.  0 .--.\n",
+       "┊0 ┊-+--|0 |----|0 |-+--|1 |\n",
+       "`~~' |  `--'  1 `--' `--|2 |\n",
+       "     |  .--.    .--.  2 |--|\n",
+       "     `--|1 |-+--|0 |-+--|0 |\n",
+       "      2 `--' |  `--' `--|2 |\n",
+       "             |  .--.  4 |--|\n",
+       "             `--|1 |----|0 |\n",
+       "              3 `--'  5 `--'\n",
+       ".~~.    .--.    .--.    .--.\n",
+       "┊1 ┊----|1 |----|1 |-+--|0 |\n",
+       "`~~'  3 `--'  4 `--' |--|1 |\n",
+       ".~~.                 `--|2 |\n",
+       "┊2 ┊)                 8 `--'\n",
+       "`~~'  3"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "text/markdown": [
+       "# DC-S-C-S"
+      ],
+      "text/plain": [
+       "<IPython.core.display.Markdown object>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "image/svg+xml": [
+       "<svg xmlns=\"http://www.w3.org/2000/svg\" width=\"240\" height=\"528\">\n",
+       "    <style>line, path, circle,rect,polygon {\n",
+       "                          stroke: black;\n",
+       "                          stroke-width: 2;\n",
+       "                          stroke-opacity: 1;\n",
+       "                          fill-opacity: 1;\n",
+       "                          stroke-linecap: round;\n",
+       "                          stroke-linejoin: miter;\n",
+       "                        }\n",
+       "\n",
+       "                    text {\n",
+       "                        /* This fix the spacing bug in svg text*/\n",
+       "                        white-space: pre;\n",
+       "                        fill: black;\n",
+       "                        }\n",
+       "                        rect.backdrop{\n",
+       "                            stroke: none;\n",
+       "                            fill: white;\n",
+       "                        }\n",
+       "                        .broken{\n",
+       "                            stroke-dasharray: 8;\n",
+       "                        }\n",
+       "                        .filled{\n",
+       "                            fill: black;\n",
+       "                        }\n",
+       "                        .bg_filled{\n",
+       "                            fill: white;\n",
+       "                        }\n",
+       "                        .nofill{\n",
+       "                            fill: white;\n",
+       "                        }\n",
+       "\n",
+       "                        text {\n",
+       "                         font-family: monospace;\n",
+       "                         font-size: 14px;\n",
+       "                        }\n",
+       "\n",
+       "                        .end_marked_arrow{\n",
+       "                            marker-end: url(#arrow);\n",
+       "                         }\n",
+       "                        .start_marked_arrow{\n",
+       "                            marker-start: url(#arrow);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_diamond{\n",
+       "                            marker-end: url(#diamond);\n",
+       "                         }\n",
+       "                        .start_marked_diamond{\n",
+       "                            marker-start: url(#diamond);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_circle{\n",
+       "                            marker-end: url(#circle);\n",
+       "                         }\n",
+       "                        .start_marked_circle{\n",
+       "                            marker-start: url(#circle);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_open_circle{\n",
+       "                            marker-end: url(#open_circle);\n",
+       "                         }\n",
+       "                        .start_marked_open_circle{\n",
+       "                            marker-start: url(#open_circle);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_big_open_circle{\n",
+       "                            marker-end: url(#big_open_circle);\n",
+       "                         }\n",
+       "                        .start_marked_big_open_circle{\n",
+       "                            marker-start: url(#big_open_circle);\n",
+       "                         }\n",
+       "\n",
+       "                         \n",
+       "                        </style>\n",
+       "    <defs>\n",
+       "        <marker id=\"arrow\" viewBox=\"-2 -2 8 8\" refX=\"4\" refY=\"2\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <polygon points=\"0,0 0,4 4,2 0,0\"></polygon>\n",
+       "        </marker>\n",
+       "        <marker id=\"diamond\" viewBox=\"-2 -2 8 8\" refX=\"4\" refY=\"2\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <polygon points=\"0,2 2,0 4,2 2,4 0,2\"></polygon>\n",
+       "        </marker>\n",
+       "        <marker id=\"circle\" viewBox=\"0 0 8 8\" refX=\"4\" refY=\"4\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <circle cx=\"4\" cy=\"4\" r=\"2\" class=\"filled\"></circle>\n",
+       "        </marker>\n",
+       "        <marker id=\"open_circle\" viewBox=\"0 0 8 8\" refX=\"4\" refY=\"4\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <circle cx=\"4\" cy=\"4\" r=\"2\" class=\"bg_filled\"></circle>\n",
+       "        </marker>\n",
+       "        <marker id=\"big_open_circle\" viewBox=\"0 0 8 8\" refX=\"4\" refY=\"4\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <circle cx=\"4\" cy=\"4\" r=\"3\" class=\"bg_filled\"></circle>\n",
+       "        </marker>\n",
+       "    </defs>\n",
+       "    <rect x=\"4\" y=\"8\" width=\"32\" height=\"32\" class=\"solid nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"10\" y=\"28\" >i0</text>\n",
+       "    <rect x=\"68\" y=\"8\" width=\"32\" height=\"32\" class=\"solid nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"74\" y=\"28\" >i1</text>\n",
+       "    <rect x=\"132\" y=\"8\" width=\"32\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"138\" y=\"28\" >i2</text>\n",
+       "    <rect x=\"196\" y=\"8\" width=\"32\" height=\"32\" class=\"solid nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"202\" y=\"28\" >i3</text>\n",
+       "    <rect x=\"132\" y=\"72\" width=\"24\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"138\" y=\"92\" >0</text>\n",
+       "    <rect x=\"132\" y=\"216\" width=\"24\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"138\" y=\"236\" >0</text>\n",
+       "    <rect x=\"132\" y=\"264\" width=\"24\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"138\" y=\"284\" >1</text>\n",
+       "    <rect x=\"132\" y=\"408\" width=\"24\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"138\" y=\"428\" >1</text>\n",
+       "    <text x=\"42\" y=\"28\" >p0</text>\n",
+       "    <text x=\"106\" y=\"28\" >p1</text>\n",
+       "    <text x=\"170\" y=\"28\" >p2</text>\n",
+       "    <line x1=\"0\" y1=\"54\" x2=\"232\" y2=\"54\" class=\"solid\"></line>\n",
+       "    <line x1=\"0\" y1=\"58\" x2=\"232\" y2=\"58\" class=\"solid\"></line>\n",
+       "    <text x=\"50\" y=\"76\" >0</text>\n",
+       "    <text x=\"114\" y=\"76\" >0</text>\n",
+       "    <text x=\"178\" y=\"76\" >0</text>\n",
+       "    <text x=\"10\" y=\"92\" >0</text>\n",
+       "    <text x=\"74\" y=\"92\" >0</text>\n",
+       "    <text x=\"202\" y=\"92\" >1</text>\n",
+       "    <text x=\"114\" y=\"108\" >1</text>\n",
+       "    <text x=\"202\" y=\"108\" >2</text>\n",
+       "    <text x=\"178\" y=\"124\" >2</text>\n",
+       "    <text x=\"74\" y=\"140\" >0</text>\n",
+       "    <text x=\"138\" y=\"140\" >1</text>\n",
+       "    <text x=\"114\" y=\"156\" >2</text>\n",
+       "    <text x=\"74\" y=\"188\" >0</text>\n",
+       "    <text x=\"138\" y=\"188\" >2</text>\n",
+       "    <text x=\"114\" y=\"204\" >3</text>\n",
+       "    <text x=\"178\" y=\"220\" >2</text>\n",
+       "    <text x=\"74\" y=\"236\" >1</text>\n",
+       "    <text x=\"202\" y=\"236\" >0</text>\n",
+       "    <text x=\"114\" y=\"252\" >4</text>\n",
+       "    <text x=\"202\" y=\"252\" >2</text>\n",
+       "    <text x=\"178\" y=\"268\" >4</text>\n",
+       "    <text x=\"74\" y=\"284\" >1</text>\n",
+       "    <text x=\"202\" y=\"284\" >0</text>\n",
+       "    <text x=\"114\" y=\"300\" >5</text>\n",
+       "    <text x=\"178\" y=\"300\" >5</text>\n",
+       "    <text x=\"74\" y=\"332\" >1</text>\n",
+       "    <text x=\"138\" y=\"332\" >2</text>\n",
+       "    <text x=\"50\" y=\"348\" >6</text>\n",
+       "    <text x=\"114\" y=\"348\" >6</text>\n",
+       "    <text x=\"10\" y=\"380\" >1</text>\n",
+       "    <text x=\"74\" y=\"380\" >1</text>\n",
+       "    <text x=\"138\" y=\"380\" >0</text>\n",
+       "    <text x=\"114\" y=\"396\" >7</text>\n",
+       "    <text x=\"178\" y=\"412\" >5</text>\n",
+       "    <text x=\"74\" y=\"428\" >1</text>\n",
+       "    <text x=\"202\" y=\"428\" >0</text>\n",
+       "    <text x=\"114\" y=\"444\" >8</text>\n",
+       "    <text x=\"202\" y=\"444\" >1</text>\n",
+       "    <text x=\"202\" y=\"460\" >2</text>\n",
+       "    <text x=\"178\" y=\"476\" >8</text>\n",
+       "    <text x=\"74\" y=\"492\" >1</text>\n",
+       "    <text x=\"138\" y=\"492\" >2</text>\n",
+       "    <text x=\"50\" y=\"508\" >9</text>\n",
+       "    <text x=\"114\" y=\"508\" >9</text>\n",
+       "    <text x=\"178\" y=\"172\" >2</text>\n",
+       "    <text x=\"178\" y=\"364\" >5</text>\n",
+       "    <text x=\"178\" y=\"508\" >8</text>\n",
+       "    <g>\n",
+       "        <path d=\"M 8,72 A 4,4 0,0,0 4,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"4\" y1=\"76\" x2=\"4\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"8\" y1=\"72\" x2=\"24\" y2=\"72\" class=\"solid\"></line>\n",
+       "        <path d=\"M 24,72 A 4,4 0,0,1 28,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"28\" y1=\"76\" x2=\"28\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <path d=\"M 4,100 A 4,4 0,0,0 8,104\" class=\"nofill\"></path>\n",
+       "        <line x1=\"8\" y1=\"104\" x2=\"24\" y2=\"104\" class=\"solid\"></line>\n",
+       "        <path d=\"M 28,100 A 4,4 0,0,1 24,104\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 72,72 A 4,4 0,0,0 68,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"68\" y1=\"76\" x2=\"68\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"72\" y1=\"72\" x2=\"88\" y2=\"72\" class=\"solid\"></line>\n",
+       "        <path d=\"M 88,72 A 4,4 0,0,1 92,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"92\" y1=\"76\" x2=\"92\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"28\" y1=\"88\" x2=\"68\" y2=\"88\" class=\"solid\"></line>\n",
+       "        <line x1=\"44\" y1=\"88\" x2=\"44\" y2=\"324\" class=\"solid\"></line>\n",
+       "        <line x1=\"92\" y1=\"88\" x2=\"128\" y2=\"88\" class=\"broken\"></line>\n",
+       "        <path d=\"M 68,100 A 4,4 0,0,0 72,104\" class=\"nofill\"></path>\n",
+       "        <line x1=\"72\" y1=\"104\" x2=\"88\" y2=\"104\" class=\"solid\"></line>\n",
+       "        <path d=\"M 92,100 A 4,4 0,0,1 88,104\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 44,324 A 4,4 0,0,0 48,328\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 72,120 A 4,4 0,0,0 68,124\" class=\"nofill\"></path>\n",
+       "        <line x1=\"68\" y1=\"124\" x2=\"68\" y2=\"148\" class=\"solid\"></line>\n",
+       "        <line x1=\"72\" y1=\"120\" x2=\"88\" y2=\"120\" class=\"solid\"></line>\n",
+       "        <path d=\"M 88,120 A 4,4 0,0,1 92,124\" class=\"nofill\"></path>\n",
+       "        <line x1=\"92\" y1=\"124\" x2=\"92\" y2=\"148\" class=\"solid\"></line>\n",
+       "        <line x1=\"44\" y1=\"136\" x2=\"68\" y2=\"136\" class=\"solid\"></line>\n",
+       "        <line x1=\"92\" y1=\"136\" x2=\"128\" y2=\"136\" class=\"broken\"></line>\n",
+       "        <path d=\"M 68,148 A 4,4 0,0,0 72,152\" class=\"nofill\"></path>\n",
+       "        <line x1=\"72\" y1=\"152\" x2=\"88\" y2=\"152\" class=\"solid\"></line>\n",
+       "        <path d=\"M 92,148 A 4,4 0,0,1 88,152\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 72,168 A 4,4 0,0,0 68,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"68\" y1=\"172\" x2=\"68\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <line x1=\"72\" y1=\"168\" x2=\"88\" y2=\"168\" class=\"solid\"></line>\n",
+       "        <path d=\"M 88,168 A 4,4 0,0,1 92,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"92\" y1=\"172\" x2=\"92\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <line x1=\"44\" y1=\"184\" x2=\"68\" y2=\"184\" class=\"solid\"></line>\n",
+       "        <line x1=\"92\" y1=\"184\" x2=\"128\" y2=\"184\" class=\"broken\"></line>\n",
+       "        <path d=\"M 68,196 A 4,4 0,0,0 72,200\" class=\"nofill\"></path>\n",
+       "        <line x1=\"72\" y1=\"200\" x2=\"88\" y2=\"200\" class=\"solid\"></line>\n",
+       "        <path d=\"M 92,196 A 4,4 0,0,1 88,200\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 72,216 A 4,4 0,0,0 68,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"68\" y1=\"220\" x2=\"68\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <line x1=\"72\" y1=\"216\" x2=\"88\" y2=\"216\" class=\"solid\"></line>\n",
+       "        <path d=\"M 88,216 A 4,4 0,0,1 92,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"92\" y1=\"220\" x2=\"92\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <line x1=\"44\" y1=\"232\" x2=\"68\" y2=\"232\" class=\"solid\"></line>\n",
+       "        <line x1=\"92\" y1=\"232\" x2=\"128\" y2=\"232\" class=\"broken\"></line>\n",
+       "        <path d=\"M 68,244 A 4,4 0,0,0 72,248\" class=\"nofill\"></path>\n",
+       "        <line x1=\"72\" y1=\"248\" x2=\"88\" y2=\"248\" class=\"solid\"></line>\n",
+       "        <path d=\"M 92,244 A 4,4 0,0,1 88,248\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 72,264 A 4,4 0,0,0 68,268\" class=\"nofill\"></path>\n",
+       "        <line x1=\"68\" y1=\"268\" x2=\"68\" y2=\"292\" class=\"solid\"></line>\n",
+       "        <line x1=\"72\" y1=\"264\" x2=\"88\" y2=\"264\" class=\"solid\"></line>\n",
+       "        <path d=\"M 88,264 A 4,4 0,0,1 92,268\" class=\"nofill\"></path>\n",
+       "        <line x1=\"92\" y1=\"268\" x2=\"92\" y2=\"292\" class=\"solid\"></line>\n",
+       "        <line x1=\"44\" y1=\"280\" x2=\"68\" y2=\"280\" class=\"solid\"></line>\n",
+       "        <line x1=\"92\" y1=\"280\" x2=\"128\" y2=\"280\" class=\"broken\"></line>\n",
+       "        <path d=\"M 68,292 A 4,4 0,0,0 72,296\" class=\"nofill\"></path>\n",
+       "        <line x1=\"72\" y1=\"296\" x2=\"88\" y2=\"296\" class=\"solid\"></line>\n",
+       "        <path d=\"M 92,292 A 4,4 0,0,1 88,296\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 72,312 A 4,4 0,0,0 68,316\" class=\"nofill\"></path>\n",
+       "        <line x1=\"68\" y1=\"316\" x2=\"68\" y2=\"340\" class=\"solid\"></line>\n",
+       "        <line x1=\"72\" y1=\"312\" x2=\"88\" y2=\"312\" class=\"solid\"></line>\n",
+       "        <path d=\"M 88,312 A 4,4 0,0,1 92,316\" class=\"nofill\"></path>\n",
+       "        <line x1=\"92\" y1=\"316\" x2=\"92\" y2=\"340\" class=\"solid\"></line>\n",
+       "        <line x1=\"48\" y1=\"328\" x2=\"68\" y2=\"328\" class=\"solid\"></line>\n",
+       "        <line x1=\"92\" y1=\"328\" x2=\"128\" y2=\"328\" class=\"broken\"></line>\n",
+       "        <path d=\"M 68,340 A 4,4 0,0,0 72,344\" class=\"nofill\"></path>\n",
+       "        <line x1=\"72\" y1=\"344\" x2=\"88\" y2=\"344\" class=\"solid\"></line>\n",
+       "        <path d=\"M 92,340 A 4,4 0,0,1 88,344\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 200,72 A 4,4 0,0,0 196,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"76\" x2=\"196\" y2=\"116\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"72\" x2=\"216\" y2=\"72\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,72 A 4,4 0,0,1 220,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"76\" x2=\"220\" y2=\"116\" class=\"solid\"></line>\n",
+       "        <line x1=\"160\" y1=\"88\" x2=\"196\" y2=\"88\" class=\"solid\"></line>\n",
+       "        <line x1=\"172\" y1=\"88\" x2=\"172\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <path d=\"M 172,100 A 4,4 0,0,0 176,104\" class=\"nofill\"></path>\n",
+       "        <line x1=\"176\" y1=\"104\" x2=\"196\" y2=\"104\" class=\"solid\"></line>\n",
+       "        <path d=\"M 196,116 A 4,4 0,0,0 200,120\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"120\" x2=\"216\" y2=\"120\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,116 A 4,4 0,0,1 216,120\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 136,120 A 4,4 0,0,0 132,124\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"124\" x2=\"132\" y2=\"148\" class=\"broken\"></line>\n",
+       "        <line x1=\"136\" y1=\"120\" x2=\"152\" y2=\"120\" class=\"broken\"></line>\n",
+       "        <path d=\"M 152,120 A 4,4 0,0,1 156,124\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 152,120 A 8,8 0,0,1 158,124\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"124\" x2=\"156\" y2=\"148\" class=\"broken\"></line>\n",
+       "        <line x1=\"158\" y1=\"124\" x2=\"160\" y2=\"128\" class=\"solid\"></line>\n",
+       "        <path d=\"M 160,128 A 16,16 0,0,1 160,144\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 132,148 A 4,4 0,0,0 136,152\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"152\" x2=\"152\" y2=\"152\" class=\"broken\"></line>\n",
+       "        <line x1=\"160\" y1=\"144\" x2=\"158\" y2=\"148\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,148 A 4,4 0,0,1 152,152\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 158,148 A 8,8 0,0,1 152,152\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 136,168 A 4,4 0,0,0 132,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"172\" x2=\"132\" y2=\"196\" class=\"broken\"></line>\n",
+       "        <line x1=\"136\" y1=\"168\" x2=\"152\" y2=\"168\" class=\"broken\"></line>\n",
+       "        <path d=\"M 152,168 A 4,4 0,0,1 156,172\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 152,168 A 8,8 0,0,1 158,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"172\" x2=\"156\" y2=\"196\" class=\"broken\"></line>\n",
+       "        <line x1=\"158\" y1=\"172\" x2=\"160\" y2=\"176\" class=\"solid\"></line>\n",
+       "        <path d=\"M 160,176 A 16,16 0,0,1 160,192\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 132,196 A 4,4 0,0,0 136,200\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"200\" x2=\"152\" y2=\"200\" class=\"broken\"></line>\n",
+       "        <line x1=\"160\" y1=\"192\" x2=\"158\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,196 A 4,4 0,0,1 152,200\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 158,196 A 8,8 0,0,1 152,200\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 200,216 A 4,4 0,0,0 196,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"220\" x2=\"196\" y2=\"292\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"216\" x2=\"216\" y2=\"216\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,216 A 4,4 0,0,1 220,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"220\" x2=\"220\" y2=\"292\" class=\"solid\"></line>\n",
+       "        <line x1=\"160\" y1=\"232\" x2=\"196\" y2=\"232\" class=\"solid\"></line>\n",
+       "        <line x1=\"172\" y1=\"232\" x2=\"172\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <path d=\"M 172,244 A 4,4 0,0,0 176,248\" class=\"nofill\"></path>\n",
+       "        <line x1=\"176\" y1=\"248\" x2=\"196\" y2=\"248\" class=\"solid\"></line>\n",
+       "        <line x1=\"196\" y1=\"264\" x2=\"220\" y2=\"264\" class=\"solid\"></line>\n",
+       "        <line x1=\"160\" y1=\"280\" x2=\"196\" y2=\"280\" class=\"solid\"></line>\n",
+       "        <path d=\"M 196,292 A 4,4 0,0,0 200,296\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"296\" x2=\"216\" y2=\"296\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,292 A 4,4 0,0,1 216,296\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 136,312 A 4,4 0,0,0 132,316\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"316\" x2=\"132\" y2=\"340\" class=\"broken\"></line>\n",
+       "        <line x1=\"136\" y1=\"312\" x2=\"152\" y2=\"312\" class=\"broken\"></line>\n",
+       "        <path d=\"M 152,312 A 4,4 0,0,1 156,316\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 152,312 A 8,8 0,0,1 158,316\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"316\" x2=\"156\" y2=\"340\" class=\"broken\"></line>\n",
+       "        <line x1=\"158\" y1=\"316\" x2=\"160\" y2=\"320\" class=\"solid\"></line>\n",
+       "        <path d=\"M 160,320 A 16,16 0,0,1 160,336\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 132,340 A 4,4 0,0,0 136,344\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"344\" x2=\"152\" y2=\"344\" class=\"broken\"></line>\n",
+       "        <line x1=\"160\" y1=\"336\" x2=\"158\" y2=\"340\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,340 A 4,4 0,0,1 152,344\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 158,340 A 8,8 0,0,1 152,344\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 8,360 A 4,4 0,0,0 4,364\" class=\"nofill\"></path>\n",
+       "        <line x1=\"4\" y1=\"364\" x2=\"4\" y2=\"388\" class=\"solid\"></line>\n",
+       "        <line x1=\"8\" y1=\"360\" x2=\"24\" y2=\"360\" class=\"solid\"></line>\n",
+       "        <path d=\"M 24,360 A 4,4 0,0,1 28,364\" class=\"nofill\"></path>\n",
+       "        <line x1=\"28\" y1=\"364\" x2=\"28\" y2=\"388\" class=\"solid\"></line>\n",
+       "        <path d=\"M 4,388 A 4,4 0,0,0 8,392\" class=\"nofill\"></path>\n",
+       "        <line x1=\"8\" y1=\"392\" x2=\"24\" y2=\"392\" class=\"solid\"></line>\n",
+       "        <path d=\"M 28,388 A 4,4 0,0,1 24,392\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 72,360 A 4,4 0,0,0 68,364\" class=\"nofill\"></path>\n",
+       "        <line x1=\"68\" y1=\"364\" x2=\"68\" y2=\"388\" class=\"solid\"></line>\n",
+       "        <line x1=\"72\" y1=\"360\" x2=\"88\" y2=\"360\" class=\"solid\"></line>\n",
+       "        <path d=\"M 88,360 A 4,4 0,0,1 92,364\" class=\"nofill\"></path>\n",
+       "        <line x1=\"92\" y1=\"364\" x2=\"92\" y2=\"388\" class=\"solid\"></line>\n",
+       "        <line x1=\"28\" y1=\"376\" x2=\"68\" y2=\"376\" class=\"solid\"></line>\n",
+       "        <line x1=\"44\" y1=\"376\" x2=\"44\" y2=\"484\" class=\"solid\"></line>\n",
+       "        <line x1=\"92\" y1=\"376\" x2=\"128\" y2=\"376\" class=\"broken\"></line>\n",
+       "        <path d=\"M 68,388 A 4,4 0,0,0 72,392\" class=\"nofill\"></path>\n",
+       "        <line x1=\"72\" y1=\"392\" x2=\"88\" y2=\"392\" class=\"solid\"></line>\n",
+       "        <path d=\"M 92,388 A 4,4 0,0,1 88,392\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 44,484 A 4,4 0,0,0 48,488\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 72,408 A 4,4 0,0,0 68,412\" class=\"nofill\"></path>\n",
+       "        <line x1=\"68\" y1=\"412\" x2=\"68\" y2=\"436\" class=\"solid\"></line>\n",
+       "        <line x1=\"72\" y1=\"408\" x2=\"88\" y2=\"408\" class=\"solid\"></line>\n",
+       "        <path d=\"M 88,408 A 4,4 0,0,1 92,412\" class=\"nofill\"></path>\n",
+       "        <line x1=\"92\" y1=\"412\" x2=\"92\" y2=\"436\" class=\"solid\"></line>\n",
+       "        <line x1=\"44\" y1=\"424\" x2=\"68\" y2=\"424\" class=\"solid\"></line>\n",
+       "        <line x1=\"92\" y1=\"424\" x2=\"128\" y2=\"424\" class=\"broken\"></line>\n",
+       "        <path d=\"M 68,436 A 4,4 0,0,0 72,440\" class=\"nofill\"></path>\n",
+       "        <line x1=\"72\" y1=\"440\" x2=\"88\" y2=\"440\" class=\"solid\"></line>\n",
+       "        <path d=\"M 92,436 A 4,4 0,0,1 88,440\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 72,472 A 4,4 0,0,0 68,476\" class=\"nofill\"></path>\n",
+       "        <line x1=\"68\" y1=\"476\" x2=\"68\" y2=\"500\" class=\"solid\"></line>\n",
+       "        <line x1=\"72\" y1=\"472\" x2=\"88\" y2=\"472\" class=\"solid\"></line>\n",
+       "        <path d=\"M 88,472 A 4,4 0,0,1 92,476\" class=\"nofill\"></path>\n",
+       "        <line x1=\"92\" y1=\"476\" x2=\"92\" y2=\"500\" class=\"solid\"></line>\n",
+       "        <line x1=\"48\" y1=\"488\" x2=\"68\" y2=\"488\" class=\"solid\"></line>\n",
+       "        <line x1=\"92\" y1=\"488\" x2=\"128\" y2=\"488\" class=\"broken\"></line>\n",
+       "        <path d=\"M 68,500 A 4,4 0,0,0 72,504\" class=\"nofill\"></path>\n",
+       "        <line x1=\"72\" y1=\"504\" x2=\"88\" y2=\"504\" class=\"solid\"></line>\n",
+       "        <path d=\"M 92,500 A 4,4 0,0,1 88,504\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 136,360 A 4,4 0,0,0 132,364\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"364\" x2=\"132\" y2=\"388\" class=\"broken\"></line>\n",
+       "        <line x1=\"136\" y1=\"360\" x2=\"152\" y2=\"360\" class=\"broken\"></line>\n",
+       "        <path d=\"M 152,360 A 4,4 0,0,1 156,364\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 152,360 A 8,8 0,0,1 158,364\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"364\" x2=\"156\" y2=\"388\" class=\"broken\"></line>\n",
+       "        <line x1=\"158\" y1=\"364\" x2=\"160\" y2=\"368\" class=\"solid\"></line>\n",
+       "        <path d=\"M 160,368 A 16,16 0,0,1 160,384\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 132,388 A 4,4 0,0,0 136,392\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"392\" x2=\"152\" y2=\"392\" class=\"broken\"></line>\n",
+       "        <line x1=\"160\" y1=\"384\" x2=\"158\" y2=\"388\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,388 A 4,4 0,0,1 152,392\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 158,388 A 8,8 0,0,1 152,392\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 200,408 A 4,4 0,0,0 196,412\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"412\" x2=\"196\" y2=\"468\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"408\" x2=\"216\" y2=\"408\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,408 A 4,4 0,0,1 220,412\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"412\" x2=\"220\" y2=\"468\" class=\"solid\"></line>\n",
+       "        <line x1=\"160\" y1=\"424\" x2=\"196\" y2=\"424\" class=\"solid\"></line>\n",
+       "        <line x1=\"172\" y1=\"424\" x2=\"172\" y2=\"452\" class=\"solid\"></line>\n",
+       "        <line x1=\"172\" y1=\"440\" x2=\"196\" y2=\"440\" class=\"solid\"></line>\n",
+       "        <path d=\"M 172,452 A 4,4 0,0,0 176,456\" class=\"nofill\"></path>\n",
+       "        <line x1=\"176\" y1=\"456\" x2=\"196\" y2=\"456\" class=\"solid\"></line>\n",
+       "        <path d=\"M 196,468 A 4,4 0,0,0 200,472\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"472\" x2=\"216\" y2=\"472\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,468 A 4,4 0,0,1 216,472\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 136,472 A 4,4 0,0,0 132,476\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"476\" x2=\"132\" y2=\"500\" class=\"broken\"></line>\n",
+       "        <line x1=\"136\" y1=\"472\" x2=\"152\" y2=\"472\" class=\"broken\"></line>\n",
+       "        <path d=\"M 152,472 A 4,4 0,0,1 156,476\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 152,472 A 8,8 0,0,1 158,476\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"476\" x2=\"156\" y2=\"500\" class=\"broken\"></line>\n",
+       "        <line x1=\"158\" y1=\"476\" x2=\"160\" y2=\"480\" class=\"solid\"></line>\n",
+       "        <path d=\"M 160,480 A 16,16 0,0,1 160,496\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 132,500 A 4,4 0,0,0 136,504\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"504\" x2=\"152\" y2=\"504\" class=\"broken\"></line>\n",
+       "        <line x1=\"160\" y1=\"496\" x2=\"158\" y2=\"500\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,500 A 4,4 0,0,1 152,504\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 158,500 A 8,8 0,0,1 152,504\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "</svg>"
+      ],
+      "text/plain": [
+       ".---.   .---.   .~~~.   .---.\n",
+       "|i0 |p0 |i1 |p1 ┊i2 ┊p2 |i3 |\n",
+       "`---'   `---'   `~~~'   `---'\n",
+       "=============================\n",
+       ".--.  0 .--.  0 .~~.  0 .--.\n",
+       "|0 |-+--|0 |~~~~┊0 ┊-+--|1 |\n",
+       "`--' |  `--'  1 `~~' `--|2 |\n",
+       "     |  .--.    .~~.  2 `--'\n",
+       "     |--|0 |~~~~┊1 ┊)\n",
+       "     |  `--'  2 `~~'\n",
+       "     |  .--.    .~~.  2\n",
+       "     |--|0 |~~~~┊2 ┊)\n",
+       "     |  `--'  3 `~~'\n",
+       "     |  .--.    .~~.  2 .--.\n",
+       "     |--|1 |~~~~┊0 ┊-+--|0 |\n",
+       "     |  `--'  4 `~~' `--|2 |\n",
+       "     |  .--.    .~~.  4 |--|\n",
+       "     |--|1 |~~~~┊1 ┊----|0 |\n",
+       "     |  `--'  5 `~~'  5 `--'\n",
+       "     |  .--.    .~~.\n",
+       "     `--|1 |~~~~┊2 ┊)\n",
+       "      6 `--'  6 `~~'\n",
+       ".--.    .--.    .~~.  5\n",
+       "|1 |-+--|1 |~~~~┊0 ┊)\n",
+       "`--' |  `--'  7 `~~'\n",
+       "     |  .--.    .~~.  5 .--.\n",
+       "     |--|1 |~~~~┊1 ┊-+--|0 |\n",
+       "     |  `--'  8 `~~' |--|1 |\n",
+       "     |               `--|2 |\n",
+       "     |  .--.    .~~.  8 `--'\n",
+       "     `--|1 |~~~~┊2 ┊)\n",
+       "      9 `--'  9 `~~'  8"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "text/markdown": [
+       "# DC-C-S-S"
+      ],
+      "text/plain": [
+       "<IPython.core.display.Markdown object>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "image/svg+xml": [
+       "<svg xmlns=\"http://www.w3.org/2000/svg\" width=\"240\" height=\"464\">\n",
+       "    <style>line, path, circle,rect,polygon {\n",
+       "                          stroke: black;\n",
+       "                          stroke-width: 2;\n",
+       "                          stroke-opacity: 1;\n",
+       "                          fill-opacity: 1;\n",
+       "                          stroke-linecap: round;\n",
+       "                          stroke-linejoin: miter;\n",
+       "                        }\n",
+       "\n",
+       "                    text {\n",
+       "                        /* This fix the spacing bug in svg text*/\n",
+       "                        white-space: pre;\n",
+       "                        fill: black;\n",
+       "                        }\n",
+       "                        rect.backdrop{\n",
+       "                            stroke: none;\n",
+       "                            fill: white;\n",
+       "                        }\n",
+       "                        .broken{\n",
+       "                            stroke-dasharray: 8;\n",
+       "                        }\n",
+       "                        .filled{\n",
+       "                            fill: black;\n",
+       "                        }\n",
+       "                        .bg_filled{\n",
+       "                            fill: white;\n",
+       "                        }\n",
+       "                        .nofill{\n",
+       "                            fill: white;\n",
+       "                        }\n",
+       "\n",
+       "                        text {\n",
+       "                         font-family: monospace;\n",
+       "                         font-size: 14px;\n",
+       "                        }\n",
+       "\n",
+       "                        .end_marked_arrow{\n",
+       "                            marker-end: url(#arrow);\n",
+       "                         }\n",
+       "                        .start_marked_arrow{\n",
+       "                            marker-start: url(#arrow);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_diamond{\n",
+       "                            marker-end: url(#diamond);\n",
+       "                         }\n",
+       "                        .start_marked_diamond{\n",
+       "                            marker-start: url(#diamond);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_circle{\n",
+       "                            marker-end: url(#circle);\n",
+       "                         }\n",
+       "                        .start_marked_circle{\n",
+       "                            marker-start: url(#circle);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_open_circle{\n",
+       "                            marker-end: url(#open_circle);\n",
+       "                         }\n",
+       "                        .start_marked_open_circle{\n",
+       "                            marker-start: url(#open_circle);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_big_open_circle{\n",
+       "                            marker-end: url(#big_open_circle);\n",
+       "                         }\n",
+       "                        .start_marked_big_open_circle{\n",
+       "                            marker-start: url(#big_open_circle);\n",
+       "                         }\n",
+       "\n",
+       "                         \n",
+       "                        </style>\n",
+       "    <defs>\n",
+       "        <marker id=\"arrow\" viewBox=\"-2 -2 8 8\" refX=\"4\" refY=\"2\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <polygon points=\"0,0 0,4 4,2 0,0\"></polygon>\n",
+       "        </marker>\n",
+       "        <marker id=\"diamond\" viewBox=\"-2 -2 8 8\" refX=\"4\" refY=\"2\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <polygon points=\"0,2 2,0 4,2 2,4 0,2\"></polygon>\n",
+       "        </marker>\n",
+       "        <marker id=\"circle\" viewBox=\"0 0 8 8\" refX=\"4\" refY=\"4\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <circle cx=\"4\" cy=\"4\" r=\"2\" class=\"filled\"></circle>\n",
+       "        </marker>\n",
+       "        <marker id=\"open_circle\" viewBox=\"0 0 8 8\" refX=\"4\" refY=\"4\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <circle cx=\"4\" cy=\"4\" r=\"2\" class=\"bg_filled\"></circle>\n",
+       "        </marker>\n",
+       "        <marker id=\"big_open_circle\" viewBox=\"0 0 8 8\" refX=\"4\" refY=\"4\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <circle cx=\"4\" cy=\"4\" r=\"3\" class=\"bg_filled\"></circle>\n",
+       "        </marker>\n",
+       "    </defs>\n",
+       "    <rect x=\"4\" y=\"8\" width=\"32\" height=\"32\" class=\"solid nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"10\" y=\"28\" >i0</text>\n",
+       "    <rect x=\"68\" y=\"8\" width=\"32\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"74\" y=\"28\" >i1</text>\n",
+       "    <rect x=\"132\" y=\"8\" width=\"32\" height=\"32\" class=\"solid nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"138\" y=\"28\" >i2</text>\n",
+       "    <rect x=\"196\" y=\"8\" width=\"32\" height=\"32\" class=\"solid nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"202\" y=\"28\" >i3</text>\n",
+       "    <rect x=\"68\" y=\"72\" width=\"24\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"74\" y=\"92\" >0</text>\n",
+       "    <rect x=\"68\" y=\"168\" width=\"24\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"74\" y=\"188\" >1</text>\n",
+       "    <rect x=\"68\" y=\"312\" width=\"24\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"74\" y=\"332\" >1</text>\n",
+       "    <text x=\"42\" y=\"28\" >p0</text>\n",
+       "    <text x=\"106\" y=\"28\" >p1</text>\n",
+       "    <text x=\"170\" y=\"28\" >p2</text>\n",
+       "    <line x1=\"0\" y1=\"54\" x2=\"232\" y2=\"54\" class=\"solid\"></line>\n",
+       "    <line x1=\"0\" y1=\"58\" x2=\"232\" y2=\"58\" class=\"solid\"></line>\n",
+       "    <text x=\"50\" y=\"76\" >0</text>\n",
+       "    <text x=\"114\" y=\"76\" >0</text>\n",
+       "    <text x=\"178\" y=\"76\" >0</text>\n",
+       "    <text x=\"10\" y=\"92\" >0</text>\n",
+       "    <text x=\"138\" y=\"92\" >0</text>\n",
+       "    <text x=\"202\" y=\"92\" >1</text>\n",
+       "    <text x=\"178\" y=\"108\" >1</text>\n",
+       "    <text x=\"138\" y=\"140\" >0</text>\n",
+       "    <text x=\"202\" y=\"140\" >2</text>\n",
+       "    <text x=\"114\" y=\"156\" >2</text>\n",
+       "    <text x=\"178\" y=\"156\" >2</text>\n",
+       "    <line x1=\"48\" y1=\"184\" x2=\"64\" y2=\"184\" class=\"broken\"></line>\n",
+       "    <text x=\"138\" y=\"188\" >0</text>\n",
+       "    <text x=\"202\" y=\"188\" >0</text>\n",
+       "    <text x=\"178\" y=\"204\" >3</text>\n",
+       "    <text x=\"74\" y=\"236\" >2</text>\n",
+       "    <text x=\"138\" y=\"236\" >0</text>\n",
+       "    <text x=\"202\" y=\"236\" >2</text>\n",
+       "    <text x=\"50\" y=\"252\" >3</text>\n",
+       "    <text x=\"178\" y=\"252\" >4</text>\n",
+       "    <text x=\"10\" y=\"284\" >1</text>\n",
+       "    <text x=\"74\" y=\"284\" >0</text>\n",
+       "    <text x=\"138\" y=\"284\" >1</text>\n",
+       "    <text x=\"202\" y=\"284\" >0</text>\n",
+       "    <text x=\"114\" y=\"300\" >5</text>\n",
+       "    <text x=\"178\" y=\"300\" >5</text>\n",
+       "    <text x=\"114\" y=\"316\" >5</text>\n",
+       "    <line x1=\"48\" y1=\"328\" x2=\"64\" y2=\"328\" class=\"broken\"></line>\n",
+       "    <text x=\"138\" y=\"332\" >1</text>\n",
+       "    <text x=\"202\" y=\"332\" >0</text>\n",
+       "    <text x=\"178\" y=\"348\" >6</text>\n",
+       "    <text x=\"74\" y=\"380\" >2</text>\n",
+       "    <text x=\"138\" y=\"380\" >1</text>\n",
+       "    <text x=\"202\" y=\"380\" >1</text>\n",
+       "    <text x=\"50\" y=\"396\" >6</text>\n",
+       "    <text x=\"178\" y=\"396\" >7</text>\n",
+       "    <text x=\"138\" y=\"428\" >1</text>\n",
+       "    <text x=\"202\" y=\"428\" >2</text>\n",
+       "    <text x=\"114\" y=\"444\" >8</text>\n",
+       "    <text x=\"178\" y=\"444\" >8</text>\n",
+       "    <g>\n",
+       "        <path d=\"M 8,72 A 4,4 0,0,0 4,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"4\" y1=\"76\" x2=\"4\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"8\" y1=\"72\" x2=\"24\" y2=\"72\" class=\"solid\"></line>\n",
+       "        <path d=\"M 24,72 A 4,4 0,0,1 28,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"28\" y1=\"76\" x2=\"28\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"28\" y1=\"88\" x2=\"64\" y2=\"88\" class=\"broken\"></line>\n",
+       "        <line x1=\"44\" y1=\"88\" x2=\"44\" y2=\"228\" class=\"broken\"></line>\n",
+       "        <path d=\"M 4,100 A 4,4 0,0,0 8,104\" class=\"nofill\"></path>\n",
+       "        <line x1=\"8\" y1=\"104\" x2=\"24\" y2=\"104\" class=\"solid\"></line>\n",
+       "        <path d=\"M 28,100 A 4,4 0,0,1 24,104\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 44,228 A 4,4 0,0,0 48,232\" class=\"nofill\"></path>\n",
+       "        <line x1=\"48\" y1=\"232\" x2=\"64\" y2=\"232\" class=\"broken\"></line>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 136,72 A 4,4 0,0,0 132,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"76\" x2=\"132\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"136\" y1=\"72\" x2=\"152\" y2=\"72\" class=\"solid\"></line>\n",
+       "        <path d=\"M 152,72 A 4,4 0,0,1 156,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"76\" x2=\"156\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"96\" y1=\"88\" x2=\"132\" y2=\"88\" class=\"solid\"></line>\n",
+       "        <line x1=\"108\" y1=\"88\" x2=\"108\" y2=\"132\" class=\"solid\"></line>\n",
+       "        <path d=\"M 132,100 A 4,4 0,0,0 136,104\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"104\" x2=\"152\" y2=\"104\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,100 A 4,4 0,0,1 152,104\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 108,132 A 4,4 0,0,0 112,136\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 200,72 A 4,4 0,0,0 196,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"76\" x2=\"196\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"72\" x2=\"216\" y2=\"72\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,72 A 4,4 0,0,1 220,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"76\" x2=\"220\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"156\" y1=\"88\" x2=\"196\" y2=\"88\" class=\"broken\"></line>\n",
+       "        <path d=\"M 196,100 A 4,4 0,0,0 200,104\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"104\" x2=\"216\" y2=\"104\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,100 A 4,4 0,0,1 216,104\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 136,120 A 4,4 0,0,0 132,124\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"124\" x2=\"132\" y2=\"148\" class=\"solid\"></line>\n",
+       "        <line x1=\"136\" y1=\"120\" x2=\"152\" y2=\"120\" class=\"solid\"></line>\n",
+       "        <path d=\"M 152,120 A 4,4 0,0,1 156,124\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"124\" x2=\"156\" y2=\"148\" class=\"solid\"></line>\n",
+       "        <line x1=\"112\" y1=\"136\" x2=\"132\" y2=\"136\" class=\"solid\"></line>\n",
+       "        <path d=\"M 132,148 A 4,4 0,0,0 136,152\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"152\" x2=\"152\" y2=\"152\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,148 A 4,4 0,0,1 152,152\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 200,120 A 4,4 0,0,0 196,124\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"124\" x2=\"196\" y2=\"148\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"120\" x2=\"216\" y2=\"120\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,120 A 4,4 0,0,1 220,124\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"124\" x2=\"220\" y2=\"148\" class=\"solid\"></line>\n",
+       "        <line x1=\"156\" y1=\"136\" x2=\"196\" y2=\"136\" class=\"broken\"></line>\n",
+       "        <path d=\"M 196,148 A 4,4 0,0,0 200,152\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"152\" x2=\"216\" y2=\"152\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,148 A 4,4 0,0,1 216,152\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 136,168 A 4,4 0,0,0 132,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"172\" x2=\"132\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <line x1=\"136\" y1=\"168\" x2=\"152\" y2=\"168\" class=\"solid\"></line>\n",
+       "        <path d=\"M 152,168 A 4,4 0,0,1 156,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"172\" x2=\"156\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <line x1=\"96\" y1=\"184\" x2=\"132\" y2=\"184\" class=\"solid\"></line>\n",
+       "        <line x1=\"108\" y1=\"184\" x2=\"108\" y2=\"276\" class=\"solid\"></line>\n",
+       "        <path d=\"M 132,196 A 4,4 0,0,0 136,200\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"200\" x2=\"152\" y2=\"200\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,196 A 4,4 0,0,1 152,200\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 108,276 A 4,4 0,0,0 112,280\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 200,168 A 4,4 0,0,0 196,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"172\" x2=\"196\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"168\" x2=\"216\" y2=\"168\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,168 A 4,4 0,0,1 220,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"172\" x2=\"220\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <line x1=\"156\" y1=\"184\" x2=\"196\" y2=\"184\" class=\"broken\"></line>\n",
+       "        <path d=\"M 196,196 A 4,4 0,0,0 200,200\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"200\" x2=\"216\" y2=\"200\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,196 A 4,4 0,0,1 216,200\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 136,216 A 4,4 0,0,0 132,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"220\" x2=\"132\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <line x1=\"136\" y1=\"216\" x2=\"152\" y2=\"216\" class=\"solid\"></line>\n",
+       "        <path d=\"M 152,216 A 4,4 0,0,1 156,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"220\" x2=\"156\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <line x1=\"108\" y1=\"232\" x2=\"132\" y2=\"232\" class=\"solid\"></line>\n",
+       "        <path d=\"M 132,244 A 4,4 0,0,0 136,248\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"248\" x2=\"152\" y2=\"248\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,244 A 4,4 0,0,1 152,248\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 200,216 A 4,4 0,0,0 196,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"220\" x2=\"196\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"216\" x2=\"216\" y2=\"216\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,216 A 4,4 0,0,1 220,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"220\" x2=\"220\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <line x1=\"156\" y1=\"232\" x2=\"196\" y2=\"232\" class=\"broken\"></line>\n",
+       "        <path d=\"M 196,244 A 4,4 0,0,0 200,248\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"248\" x2=\"216\" y2=\"248\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,244 A 4,4 0,0,1 216,248\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 136,264 A 4,4 0,0,0 132,268\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"268\" x2=\"132\" y2=\"292\" class=\"solid\"></line>\n",
+       "        <line x1=\"136\" y1=\"264\" x2=\"152\" y2=\"264\" class=\"solid\"></line>\n",
+       "        <path d=\"M 152,264 A 4,4 0,0,1 156,268\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"268\" x2=\"156\" y2=\"292\" class=\"solid\"></line>\n",
+       "        <line x1=\"112\" y1=\"280\" x2=\"132\" y2=\"280\" class=\"solid\"></line>\n",
+       "        <path d=\"M 132,292 A 4,4 0,0,0 136,296\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"296\" x2=\"152\" y2=\"296\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,292 A 4,4 0,0,1 152,296\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 200,264 A 4,4 0,0,0 196,268\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"268\" x2=\"196\" y2=\"292\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"264\" x2=\"216\" y2=\"264\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,264 A 4,4 0,0,1 220,268\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"268\" x2=\"220\" y2=\"292\" class=\"solid\"></line>\n",
+       "        <line x1=\"156\" y1=\"280\" x2=\"196\" y2=\"280\" class=\"broken\"></line>\n",
+       "        <path d=\"M 196,292 A 4,4 0,0,0 200,296\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"296\" x2=\"216\" y2=\"296\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,292 A 4,4 0,0,1 216,296\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 72,216 A 4,4 0,0,0 68,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"68\" y1=\"220\" x2=\"68\" y2=\"244\" class=\"broken\"></line>\n",
+       "        <line x1=\"72\" y1=\"216\" x2=\"88\" y2=\"216\" class=\"broken\"></line>\n",
+       "        <path d=\"M 88,216 A 4,4 0,0,1 92,220\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 88,216 A 8,8 0,0,1 94,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"92\" y1=\"220\" x2=\"92\" y2=\"244\" class=\"broken\"></line>\n",
+       "        <line x1=\"94\" y1=\"220\" x2=\"96\" y2=\"224\" class=\"solid\"></line>\n",
+       "        <path d=\"M 96,224 A 16,16 0,0,1 96,240\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 68,244 A 4,4 0,0,0 72,248\" class=\"nofill\"></path>\n",
+       "        <line x1=\"72\" y1=\"248\" x2=\"88\" y2=\"248\" class=\"broken\"></line>\n",
+       "        <line x1=\"96\" y1=\"240\" x2=\"94\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <path d=\"M 92,244 A 4,4 0,0,1 88,248\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 94,244 A 8,8 0,0,1 88,248\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 8,264 A 4,4 0,0,0 4,268\" class=\"nofill\"></path>\n",
+       "        <line x1=\"4\" y1=\"268\" x2=\"4\" y2=\"292\" class=\"solid\"></line>\n",
+       "        <line x1=\"8\" y1=\"264\" x2=\"24\" y2=\"264\" class=\"solid\"></line>\n",
+       "        <path d=\"M 24,264 A 4,4 0,0,1 28,268\" class=\"nofill\"></path>\n",
+       "        <line x1=\"28\" y1=\"268\" x2=\"28\" y2=\"292\" class=\"solid\"></line>\n",
+       "        <line x1=\"28\" y1=\"280\" x2=\"64\" y2=\"280\" class=\"broken\"></line>\n",
+       "        <line x1=\"44\" y1=\"280\" x2=\"44\" y2=\"372\" class=\"broken\"></line>\n",
+       "        <path d=\"M 4,292 A 4,4 0,0,0 8,296\" class=\"nofill\"></path>\n",
+       "        <line x1=\"8\" y1=\"296\" x2=\"24\" y2=\"296\" class=\"solid\"></line>\n",
+       "        <path d=\"M 28,292 A 4,4 0,0,1 24,296\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 44,372 A 4,4 0,0,0 48,376\" class=\"nofill\"></path>\n",
+       "        <line x1=\"48\" y1=\"376\" x2=\"64\" y2=\"376\" class=\"broken\"></line>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 72,264 A 4,4 0,0,0 68,268\" class=\"nofill\"></path>\n",
+       "        <line x1=\"68\" y1=\"268\" x2=\"68\" y2=\"292\" class=\"broken\"></line>\n",
+       "        <line x1=\"72\" y1=\"264\" x2=\"88\" y2=\"264\" class=\"broken\"></line>\n",
+       "        <path d=\"M 88,264 A 4,4 0,0,1 92,268\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 88,264 A 8,8 0,0,1 94,268\" class=\"nofill\"></path>\n",
+       "        <line x1=\"92\" y1=\"268\" x2=\"92\" y2=\"292\" class=\"broken\"></line>\n",
+       "        <line x1=\"94\" y1=\"268\" x2=\"96\" y2=\"272\" class=\"solid\"></line>\n",
+       "        <path d=\"M 96,272 A 16,16 0,0,1 96,288\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 68,292 A 4,4 0,0,0 72,296\" class=\"nofill\"></path>\n",
+       "        <line x1=\"72\" y1=\"296\" x2=\"88\" y2=\"296\" class=\"broken\"></line>\n",
+       "        <line x1=\"96\" y1=\"288\" x2=\"94\" y2=\"292\" class=\"solid\"></line>\n",
+       "        <path d=\"M 92,292 A 4,4 0,0,1 88,296\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 94,292 A 8,8 0,0,1 88,296\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 136,312 A 4,4 0,0,0 132,316\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"316\" x2=\"132\" y2=\"340\" class=\"solid\"></line>\n",
+       "        <line x1=\"136\" y1=\"312\" x2=\"152\" y2=\"312\" class=\"solid\"></line>\n",
+       "        <path d=\"M 152,312 A 4,4 0,0,1 156,316\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"316\" x2=\"156\" y2=\"340\" class=\"solid\"></line>\n",
+       "        <line x1=\"96\" y1=\"328\" x2=\"132\" y2=\"328\" class=\"solid\"></line>\n",
+       "        <line x1=\"108\" y1=\"328\" x2=\"108\" y2=\"420\" class=\"solid\"></line>\n",
+       "        <path d=\"M 132,340 A 4,4 0,0,0 136,344\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"344\" x2=\"152\" y2=\"344\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,340 A 4,4 0,0,1 152,344\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 108,420 A 4,4 0,0,0 112,424\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 200,312 A 4,4 0,0,0 196,316\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"316\" x2=\"196\" y2=\"340\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"312\" x2=\"216\" y2=\"312\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,312 A 4,4 0,0,1 220,316\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"316\" x2=\"220\" y2=\"340\" class=\"solid\"></line>\n",
+       "        <line x1=\"156\" y1=\"328\" x2=\"196\" y2=\"328\" class=\"broken\"></line>\n",
+       "        <path d=\"M 196,340 A 4,4 0,0,0 200,344\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"344\" x2=\"216\" y2=\"344\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,340 A 4,4 0,0,1 216,344\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 136,360 A 4,4 0,0,0 132,364\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"364\" x2=\"132\" y2=\"388\" class=\"solid\"></line>\n",
+       "        <line x1=\"136\" y1=\"360\" x2=\"152\" y2=\"360\" class=\"solid\"></line>\n",
+       "        <path d=\"M 152,360 A 4,4 0,0,1 156,364\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"364\" x2=\"156\" y2=\"388\" class=\"solid\"></line>\n",
+       "        <line x1=\"108\" y1=\"376\" x2=\"132\" y2=\"376\" class=\"solid\"></line>\n",
+       "        <path d=\"M 132,388 A 4,4 0,0,0 136,392\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"392\" x2=\"152\" y2=\"392\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,388 A 4,4 0,0,1 152,392\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 200,360 A 4,4 0,0,0 196,364\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"364\" x2=\"196\" y2=\"388\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"360\" x2=\"216\" y2=\"360\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,360 A 4,4 0,0,1 220,364\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"364\" x2=\"220\" y2=\"388\" class=\"solid\"></line>\n",
+       "        <line x1=\"156\" y1=\"376\" x2=\"196\" y2=\"376\" class=\"broken\"></line>\n",
+       "        <path d=\"M 196,388 A 4,4 0,0,0 200,392\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"392\" x2=\"216\" y2=\"392\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,388 A 4,4 0,0,1 216,392\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 136,408 A 4,4 0,0,0 132,412\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"412\" x2=\"132\" y2=\"436\" class=\"solid\"></line>\n",
+       "        <line x1=\"136\" y1=\"408\" x2=\"152\" y2=\"408\" class=\"solid\"></line>\n",
+       "        <path d=\"M 152,408 A 4,4 0,0,1 156,412\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"412\" x2=\"156\" y2=\"436\" class=\"solid\"></line>\n",
+       "        <line x1=\"112\" y1=\"424\" x2=\"132\" y2=\"424\" class=\"solid\"></line>\n",
+       "        <path d=\"M 132,436 A 4,4 0,0,0 136,440\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"440\" x2=\"152\" y2=\"440\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,436 A 4,4 0,0,1 152,440\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 200,408 A 4,4 0,0,0 196,412\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"412\" x2=\"196\" y2=\"436\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"408\" x2=\"216\" y2=\"408\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,408 A 4,4 0,0,1 220,412\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"412\" x2=\"220\" y2=\"436\" class=\"solid\"></line>\n",
+       "        <line x1=\"156\" y1=\"424\" x2=\"196\" y2=\"424\" class=\"broken\"></line>\n",
+       "        <path d=\"M 196,436 A 4,4 0,0,0 200,440\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"440\" x2=\"216\" y2=\"440\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,436 A 4,4 0,0,1 216,440\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 72,360 A 4,4 0,0,0 68,364\" class=\"nofill\"></path>\n",
+       "        <line x1=\"68\" y1=\"364\" x2=\"68\" y2=\"388\" class=\"broken\"></line>\n",
+       "        <line x1=\"72\" y1=\"360\" x2=\"88\" y2=\"360\" class=\"broken\"></line>\n",
+       "        <path d=\"M 88,360 A 4,4 0,0,1 92,364\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 88,360 A 8,8 0,0,1 94,364\" class=\"nofill\"></path>\n",
+       "        <line x1=\"92\" y1=\"364\" x2=\"92\" y2=\"388\" class=\"broken\"></line>\n",
+       "        <line x1=\"94\" y1=\"364\" x2=\"96\" y2=\"368\" class=\"solid\"></line>\n",
+       "        <path d=\"M 96,368 A 16,16 0,0,1 96,384\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 68,388 A 4,4 0,0,0 72,392\" class=\"nofill\"></path>\n",
+       "        <line x1=\"72\" y1=\"392\" x2=\"88\" y2=\"392\" class=\"broken\"></line>\n",
+       "        <line x1=\"96\" y1=\"384\" x2=\"94\" y2=\"388\" class=\"solid\"></line>\n",
+       "        <path d=\"M 92,388 A 4,4 0,0,1 88,392\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 94,388 A 8,8 0,0,1 88,392\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "</svg>"
+      ],
+      "text/plain": [
+       ".---.   .~~~.   .---.   .---.\n",
+       "|i0 |p0 ┊i1 ┊p1 |i2 |p2 |i3 |\n",
+       "`---'   `~~~'   `---'   `---'\n",
+       "=============================\n",
+       ".--.  0 .~~.  0 .--.  0 .--.\n",
+       "|0 |~+~~┊0 ┊-+--|0 |~~~~|1 |\n",
+       "`--' ┊  `~~' |  `--'  1 `--'\n",
+       "     ┊       |  .--.    .--.\n",
+       "     ┊       `--|0 |~~~~|2 |\n",
+       "     ┊        2 `--'  2 `--'\n",
+       "     ┊  .~~.    .--.    .--.\n",
+       "     ┊~~┊1 ┊-+--|0 |~~~~|0 |\n",
+       "     ┊  `~~' |  `--'  3 `--'\n",
+       "     ┊  .~~. |  .--.    .--.\n",
+       "     `~~┊2 ┊)|--|0 |~~~~|2 |\n",
+       "      3 `~~' |  `--'  4 `--'\n",
+       ".--.    .~~. |  .--.    .--.\n",
+       "|1 |~+~~┊0 ┊)`--|1 |~~~~|0 |\n",
+       "`--' ┊  `~~'  5 `--'  5 `--'\n",
+       "     ┊  .~~.  5 .--.    .--.\n",
+       "     ┊~~┊1 ┊-+--|1 |~~~~|0 |\n",
+       "     ┊  `~~' |  `--'  6 `--'\n",
+       "     ┊  .~~. |  .--.    .--.\n",
+       "     `~~┊2 ┊)|--|1 |~~~~|1 |\n",
+       "      6 `~~' |  `--'  7 `--'\n",
+       "             |  .--.    .--.\n",
+       "             `--|1 |~~~~|2 |\n",
+       "              8 `--'  8 `--'"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "text/markdown": [
+       "# DC-C-C-S"
+      ],
+      "text/plain": [
+       "<IPython.core.display.Markdown object>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "image/svg+xml": [
+       "<svg xmlns=\"http://www.w3.org/2000/svg\" width=\"240\" height=\"960\">\n",
+       "    <style>line, path, circle,rect,polygon {\n",
+       "                          stroke: black;\n",
+       "                          stroke-width: 2;\n",
+       "                          stroke-opacity: 1;\n",
+       "                          fill-opacity: 1;\n",
+       "                          stroke-linecap: round;\n",
+       "                          stroke-linejoin: miter;\n",
+       "                        }\n",
+       "\n",
+       "                    text {\n",
+       "                        /* This fix the spacing bug in svg text*/\n",
+       "                        white-space: pre;\n",
+       "                        fill: black;\n",
+       "                        }\n",
+       "                        rect.backdrop{\n",
+       "                            stroke: none;\n",
+       "                            fill: white;\n",
+       "                        }\n",
+       "                        .broken{\n",
+       "                            stroke-dasharray: 8;\n",
+       "                        }\n",
+       "                        .filled{\n",
+       "                            fill: black;\n",
+       "                        }\n",
+       "                        .bg_filled{\n",
+       "                            fill: white;\n",
+       "                        }\n",
+       "                        .nofill{\n",
+       "                            fill: white;\n",
+       "                        }\n",
+       "\n",
+       "                        text {\n",
+       "                         font-family: monospace;\n",
+       "                         font-size: 14px;\n",
+       "                        }\n",
+       "\n",
+       "                        .end_marked_arrow{\n",
+       "                            marker-end: url(#arrow);\n",
+       "                         }\n",
+       "                        .start_marked_arrow{\n",
+       "                            marker-start: url(#arrow);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_diamond{\n",
+       "                            marker-end: url(#diamond);\n",
+       "                         }\n",
+       "                        .start_marked_diamond{\n",
+       "                            marker-start: url(#diamond);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_circle{\n",
+       "                            marker-end: url(#circle);\n",
+       "                         }\n",
+       "                        .start_marked_circle{\n",
+       "                            marker-start: url(#circle);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_open_circle{\n",
+       "                            marker-end: url(#open_circle);\n",
+       "                         }\n",
+       "                        .start_marked_open_circle{\n",
+       "                            marker-start: url(#open_circle);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_big_open_circle{\n",
+       "                            marker-end: url(#big_open_circle);\n",
+       "                         }\n",
+       "                        .start_marked_big_open_circle{\n",
+       "                            marker-start: url(#big_open_circle);\n",
+       "                         }\n",
+       "\n",
+       "                         \n",
+       "                        </style>\n",
+       "    <defs>\n",
+       "        <marker id=\"arrow\" viewBox=\"-2 -2 8 8\" refX=\"4\" refY=\"2\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <polygon points=\"0,0 0,4 4,2 0,0\"></polygon>\n",
+       "        </marker>\n",
+       "        <marker id=\"diamond\" viewBox=\"-2 -2 8 8\" refX=\"4\" refY=\"2\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <polygon points=\"0,2 2,0 4,2 2,4 0,2\"></polygon>\n",
+       "        </marker>\n",
+       "        <marker id=\"circle\" viewBox=\"0 0 8 8\" refX=\"4\" refY=\"4\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <circle cx=\"4\" cy=\"4\" r=\"2\" class=\"filled\"></circle>\n",
+       "        </marker>\n",
+       "        <marker id=\"open_circle\" viewBox=\"0 0 8 8\" refX=\"4\" refY=\"4\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <circle cx=\"4\" cy=\"4\" r=\"2\" class=\"bg_filled\"></circle>\n",
+       "        </marker>\n",
+       "        <marker id=\"big_open_circle\" viewBox=\"0 0 8 8\" refX=\"4\" refY=\"4\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <circle cx=\"4\" cy=\"4\" r=\"3\" class=\"bg_filled\"></circle>\n",
+       "        </marker>\n",
+       "    </defs>\n",
+       "    <rect x=\"4\" y=\"8\" width=\"32\" height=\"32\" class=\"solid nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"10\" y=\"28\" >i0</text>\n",
+       "    <rect x=\"68\" y=\"8\" width=\"32\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"74\" y=\"28\" >i1</text>\n",
+       "    <rect x=\"132\" y=\"8\" width=\"32\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"138\" y=\"28\" >i2</text>\n",
+       "    <rect x=\"196\" y=\"8\" width=\"32\" height=\"32\" class=\"solid nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"202\" y=\"28\" >i3</text>\n",
+       "    <rect x=\"68\" y=\"72\" width=\"24\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"74\" y=\"92\" >0</text>\n",
+       "    <rect x=\"132\" y=\"72\" width=\"24\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"138\" y=\"92\" >0</text>\n",
+       "    <rect x=\"68\" y=\"216\" width=\"24\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"74\" y=\"236\" >1</text>\n",
+       "    <rect x=\"132\" y=\"216\" width=\"24\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"138\" y=\"236\" >0</text>\n",
+       "    <rect x=\"132\" y=\"264\" width=\"24\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"138\" y=\"284\" >1</text>\n",
+       "    <rect x=\"68\" y=\"360\" width=\"24\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"74\" y=\"380\" >2</text>\n",
+       "    <rect x=\"68\" y=\"504\" width=\"24\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"74\" y=\"524\" >0</text>\n",
+       "    <rect x=\"68\" y=\"648\" width=\"24\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"74\" y=\"668\" >1</text>\n",
+       "    <rect x=\"132\" y=\"696\" width=\"24\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"138\" y=\"716\" >1</text>\n",
+       "    <rect x=\"68\" y=\"808\" width=\"24\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"74\" y=\"828\" >2</text>\n",
+       "    <text x=\"42\" y=\"28\" >p0</text>\n",
+       "    <text x=\"106\" y=\"28\" >p1</text>\n",
+       "    <text x=\"170\" y=\"28\" >p2</text>\n",
+       "    <line x1=\"0\" y1=\"54\" x2=\"232\" y2=\"54\" class=\"solid\"></line>\n",
+       "    <line x1=\"0\" y1=\"58\" x2=\"232\" y2=\"58\" class=\"solid\"></line>\n",
+       "    <text x=\"50\" y=\"76\" >0</text>\n",
+       "    <text x=\"114\" y=\"76\" >0</text>\n",
+       "    <text x=\"178\" y=\"76\" >0</text>\n",
+       "    <text x=\"10\" y=\"92\" >0</text>\n",
+       "    <text x=\"202\" y=\"92\" >1</text>\n",
+       "    <text x=\"202\" y=\"108\" >2</text>\n",
+       "    <text x=\"178\" y=\"124\" >2</text>\n",
+       "    <line x1=\"112\" y1=\"136\" x2=\"128\" y2=\"136\" class=\"broken\"></line>\n",
+       "    <text x=\"138\" y=\"140\" >1</text>\n",
+       "    <text x=\"138\" y=\"188\" >2</text>\n",
+       "    <text x=\"114\" y=\"204\" >3</text>\n",
+       "    <text x=\"178\" y=\"220\" >2</text>\n",
+       "    <line x1=\"48\" y1=\"232\" x2=\"64\" y2=\"232\" class=\"broken\"></line>\n",
+       "    <text x=\"202\" y=\"236\" >0</text>\n",
+       "    <text x=\"202\" y=\"252\" >2</text>\n",
+       "    <text x=\"178\" y=\"268\" >4</text>\n",
+       "    <line x1=\"112\" y1=\"280\" x2=\"128\" y2=\"280\" class=\"broken\"></line>\n",
+       "    <text x=\"202\" y=\"284\" >0</text>\n",
+       "    <text x=\"178\" y=\"300\" >5</text>\n",
+       "    <text x=\"138\" y=\"332\" >2</text>\n",
+       "    <text x=\"114\" y=\"348\" >6</text>\n",
+       "    <text x=\"138\" y=\"380\" >0</text>\n",
+       "    <text x=\"50\" y=\"396\" >3</text>\n",
+       "    <line x1=\"112\" y1=\"424\" x2=\"128\" y2=\"424\" class=\"broken\"></line>\n",
+       "    <text x=\"138\" y=\"428\" >1</text>\n",
+       "    <text x=\"138\" y=\"476\" >2</text>\n",
+       "    <text x=\"114\" y=\"492\" >9</text>\n",
+       "    <text x=\"10\" y=\"524\" >1</text>\n",
+       "    <text x=\"138\" y=\"524\" >0</text>\n",
+       "    <line x1=\"112\" y1=\"568\" x2=\"128\" y2=\"568\" class=\"broken\"></line>\n",
+       "    <text x=\"138\" y=\"572\" >1</text>\n",
+       "    <text x=\"138\" y=\"620\" >2</text>\n",
+       "    <text x=\"106\" y=\"636\" >12</text>\n",
+       "    <line x1=\"48\" y1=\"664\" x2=\"64\" y2=\"664\" class=\"broken\"></line>\n",
+       "    <text x=\"138\" y=\"668\" >0</text>\n",
+       "    <text x=\"178\" y=\"700\" >5</text>\n",
+       "    <line x1=\"112\" y1=\"712\" x2=\"128\" y2=\"712\" class=\"broken\"></line>\n",
+       "    <text x=\"202\" y=\"716\" >0</text>\n",
+       "    <text x=\"202\" y=\"732\" >1</text>\n",
+       "    <text x=\"202\" y=\"748\" >2</text>\n",
+       "    <text x=\"178\" y=\"764\" >8</text>\n",
+       "    <text x=\"138\" y=\"780\" >2</text>\n",
+       "    <text x=\"106\" y=\"796\" >15</text>\n",
+       "    <text x=\"138\" y=\"828\" >0</text>\n",
+       "    <text x=\"50\" y=\"844\" >6</text>\n",
+       "    <line x1=\"112\" y1=\"872\" x2=\"128\" y2=\"872\" class=\"broken\"></line>\n",
+       "    <text x=\"138\" y=\"876\" >1</text>\n",
+       "    <text x=\"138\" y=\"924\" >2</text>\n",
+       "    <text x=\"106\" y=\"940\" >18</text>\n",
+       "    <text x=\"178\" y=\"172\" >2</text>\n",
+       "    <text x=\"178\" y=\"364\" >5</text>\n",
+       "    <text x=\"178\" y=\"412\" >5</text>\n",
+       "    <text x=\"178\" y=\"460\" >5</text>\n",
+       "    <text x=\"178\" y=\"508\" >5</text>\n",
+       "    <text x=\"178\" y=\"556\" >5</text>\n",
+       "    <text x=\"178\" y=\"604\" >5</text>\n",
+       "    <text x=\"178\" y=\"652\" >5</text>\n",
+       "    <text x=\"178\" y=\"812\" >8</text>\n",
+       "    <text x=\"178\" y=\"860\" >8</text>\n",
+       "    <text x=\"178\" y=\"908\" >8</text>\n",
+       "    <text x=\"178\" y=\"940\" >8</text>\n",
+       "    <g>\n",
+       "        <path d=\"M 8,72 A 4,4 0,0,0 4,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"4\" y1=\"76\" x2=\"4\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"8\" y1=\"72\" x2=\"24\" y2=\"72\" class=\"solid\"></line>\n",
+       "        <path d=\"M 24,72 A 4,4 0,0,1 28,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"28\" y1=\"76\" x2=\"28\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"28\" y1=\"88\" x2=\"64\" y2=\"88\" class=\"broken\"></line>\n",
+       "        <line x1=\"44\" y1=\"88\" x2=\"44\" y2=\"372\" class=\"broken\"></line>\n",
+       "        <path d=\"M 4,100 A 4,4 0,0,0 8,104\" class=\"nofill\"></path>\n",
+       "        <line x1=\"8\" y1=\"104\" x2=\"24\" y2=\"104\" class=\"solid\"></line>\n",
+       "        <path d=\"M 28,100 A 4,4 0,0,1 24,104\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 44,372 A 4,4 0,0,0 48,376\" class=\"nofill\"></path>\n",
+       "        <line x1=\"48\" y1=\"376\" x2=\"64\" y2=\"376\" class=\"broken\"></line>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 200,72 A 4,4 0,0,0 196,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"76\" x2=\"196\" y2=\"116\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"72\" x2=\"216\" y2=\"72\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,72 A 4,4 0,0,1 220,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"76\" x2=\"220\" y2=\"116\" class=\"solid\"></line>\n",
+       "        <line x1=\"160\" y1=\"88\" x2=\"196\" y2=\"88\" class=\"solid\"></line>\n",
+       "        <line x1=\"172\" y1=\"88\" x2=\"172\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <path d=\"M 172,100 A 4,4 0,0,0 176,104\" class=\"nofill\"></path>\n",
+       "        <line x1=\"176\" y1=\"104\" x2=\"196\" y2=\"104\" class=\"solid\"></line>\n",
+       "        <path d=\"M 196,116 A 4,4 0,0,0 200,120\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"120\" x2=\"216\" y2=\"120\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,116 A 4,4 0,0,1 216,120\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <line x1=\"96\" y1=\"88\" x2=\"128\" y2=\"88\" class=\"broken\"></line>\n",
+       "        <line x1=\"108\" y1=\"88\" x2=\"108\" y2=\"180\" class=\"broken\"></line>\n",
+       "        <path d=\"M 108,180 A 4,4 0,0,0 112,184\" class=\"nofill\"></path>\n",
+       "        <line x1=\"112\" y1=\"184\" x2=\"128\" y2=\"184\" class=\"broken\"></line>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 136,120 A 4,4 0,0,0 132,124\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"124\" x2=\"132\" y2=\"148\" class=\"broken\"></line>\n",
+       "        <line x1=\"136\" y1=\"120\" x2=\"152\" y2=\"120\" class=\"broken\"></line>\n",
+       "        <path d=\"M 152,120 A 4,4 0,0,1 156,124\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 152,120 A 8,8 0,0,1 158,124\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"124\" x2=\"156\" y2=\"148\" class=\"broken\"></line>\n",
+       "        <line x1=\"158\" y1=\"124\" x2=\"160\" y2=\"128\" class=\"solid\"></line>\n",
+       "        <path d=\"M 160,128 A 16,16 0,0,1 160,144\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 132,148 A 4,4 0,0,0 136,152\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"152\" x2=\"152\" y2=\"152\" class=\"broken\"></line>\n",
+       "        <line x1=\"160\" y1=\"144\" x2=\"158\" y2=\"148\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,148 A 4,4 0,0,1 152,152\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 158,148 A 8,8 0,0,1 152,152\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 136,168 A 4,4 0,0,0 132,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"172\" x2=\"132\" y2=\"196\" class=\"broken\"></line>\n",
+       "        <line x1=\"136\" y1=\"168\" x2=\"152\" y2=\"168\" class=\"broken\"></line>\n",
+       "        <path d=\"M 152,168 A 4,4 0,0,1 156,172\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 152,168 A 8,8 0,0,1 158,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"172\" x2=\"156\" y2=\"196\" class=\"broken\"></line>\n",
+       "        <line x1=\"158\" y1=\"172\" x2=\"160\" y2=\"176\" class=\"solid\"></line>\n",
+       "        <path d=\"M 160,176 A 16,16 0,0,1 160,192\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 132,196 A 4,4 0,0,0 136,200\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"200\" x2=\"152\" y2=\"200\" class=\"broken\"></line>\n",
+       "        <line x1=\"160\" y1=\"192\" x2=\"158\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,196 A 4,4 0,0,1 152,200\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 158,196 A 8,8 0,0,1 152,200\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 200,216 A 4,4 0,0,0 196,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"220\" x2=\"196\" y2=\"292\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"216\" x2=\"216\" y2=\"216\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,216 A 4,4 0,0,1 220,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"220\" x2=\"220\" y2=\"292\" class=\"solid\"></line>\n",
+       "        <line x1=\"160\" y1=\"232\" x2=\"196\" y2=\"232\" class=\"solid\"></line>\n",
+       "        <line x1=\"172\" y1=\"232\" x2=\"172\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <path d=\"M 172,244 A 4,4 0,0,0 176,248\" class=\"nofill\"></path>\n",
+       "        <line x1=\"176\" y1=\"248\" x2=\"196\" y2=\"248\" class=\"solid\"></line>\n",
+       "        <line x1=\"196\" y1=\"264\" x2=\"220\" y2=\"264\" class=\"solid\"></line>\n",
+       "        <line x1=\"160\" y1=\"280\" x2=\"196\" y2=\"280\" class=\"solid\"></line>\n",
+       "        <path d=\"M 196,292 A 4,4 0,0,0 200,296\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"296\" x2=\"216\" y2=\"296\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,292 A 4,4 0,0,1 216,296\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <line x1=\"96\" y1=\"232\" x2=\"128\" y2=\"232\" class=\"broken\"></line>\n",
+       "        <line x1=\"108\" y1=\"232\" x2=\"108\" y2=\"324\" class=\"broken\"></line>\n",
+       "        <path d=\"M 108,324 A 4,4 0,0,0 112,328\" class=\"nofill\"></path>\n",
+       "        <line x1=\"112\" y1=\"328\" x2=\"128\" y2=\"328\" class=\"broken\"></line>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 136,312 A 4,4 0,0,0 132,316\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"316\" x2=\"132\" y2=\"340\" class=\"broken\"></line>\n",
+       "        <line x1=\"136\" y1=\"312\" x2=\"152\" y2=\"312\" class=\"broken\"></line>\n",
+       "        <path d=\"M 152,312 A 4,4 0,0,1 156,316\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 152,312 A 8,8 0,0,1 158,316\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"316\" x2=\"156\" y2=\"340\" class=\"broken\"></line>\n",
+       "        <line x1=\"158\" y1=\"316\" x2=\"160\" y2=\"320\" class=\"solid\"></line>\n",
+       "        <path d=\"M 160,320 A 16,16 0,0,1 160,336\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 132,340 A 4,4 0,0,0 136,344\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"344\" x2=\"152\" y2=\"344\" class=\"broken\"></line>\n",
+       "        <line x1=\"160\" y1=\"336\" x2=\"158\" y2=\"340\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,340 A 4,4 0,0,1 152,344\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 158,340 A 8,8 0,0,1 152,344\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 136,360 A 4,4 0,0,0 132,364\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"364\" x2=\"132\" y2=\"388\" class=\"broken\"></line>\n",
+       "        <line x1=\"136\" y1=\"360\" x2=\"152\" y2=\"360\" class=\"broken\"></line>\n",
+       "        <path d=\"M 152,360 A 4,4 0,0,1 156,364\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 152,360 A 8,8 0,0,1 158,364\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"364\" x2=\"156\" y2=\"388\" class=\"broken\"></line>\n",
+       "        <line x1=\"158\" y1=\"364\" x2=\"160\" y2=\"368\" class=\"solid\"></line>\n",
+       "        <path d=\"M 160,368 A 16,16 0,0,1 160,384\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 132,388 A 4,4 0,0,0 136,392\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"392\" x2=\"152\" y2=\"392\" class=\"broken\"></line>\n",
+       "        <line x1=\"160\" y1=\"384\" x2=\"158\" y2=\"388\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,388 A 4,4 0,0,1 152,392\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 158,388 A 8,8 0,0,1 152,392\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <line x1=\"96\" y1=\"376\" x2=\"128\" y2=\"376\" class=\"broken\"></line>\n",
+       "        <line x1=\"108\" y1=\"376\" x2=\"108\" y2=\"468\" class=\"broken\"></line>\n",
+       "        <path d=\"M 108,468 A 4,4 0,0,0 112,472\" class=\"nofill\"></path>\n",
+       "        <line x1=\"112\" y1=\"472\" x2=\"128\" y2=\"472\" class=\"broken\"></line>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 136,408 A 4,4 0,0,0 132,412\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"412\" x2=\"132\" y2=\"436\" class=\"broken\"></line>\n",
+       "        <line x1=\"136\" y1=\"408\" x2=\"152\" y2=\"408\" class=\"broken\"></line>\n",
+       "        <path d=\"M 152,408 A 4,4 0,0,1 156,412\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 152,408 A 8,8 0,0,1 158,412\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"412\" x2=\"156\" y2=\"436\" class=\"broken\"></line>\n",
+       "        <line x1=\"158\" y1=\"412\" x2=\"160\" y2=\"416\" class=\"solid\"></line>\n",
+       "        <path d=\"M 160,416 A 16,16 0,0,1 160,432\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 132,436 A 4,4 0,0,0 136,440\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"440\" x2=\"152\" y2=\"440\" class=\"broken\"></line>\n",
+       "        <line x1=\"160\" y1=\"432\" x2=\"158\" y2=\"436\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,436 A 4,4 0,0,1 152,440\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 158,436 A 8,8 0,0,1 152,440\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 136,456 A 4,4 0,0,0 132,460\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"460\" x2=\"132\" y2=\"484\" class=\"broken\"></line>\n",
+       "        <line x1=\"136\" y1=\"456\" x2=\"152\" y2=\"456\" class=\"broken\"></line>\n",
+       "        <path d=\"M 152,456 A 4,4 0,0,1 156,460\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 152,456 A 8,8 0,0,1 158,460\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"460\" x2=\"156\" y2=\"484\" class=\"broken\"></line>\n",
+       "        <line x1=\"158\" y1=\"460\" x2=\"160\" y2=\"464\" class=\"solid\"></line>\n",
+       "        <path d=\"M 160,464 A 16,16 0,0,1 160,480\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 132,484 A 4,4 0,0,0 136,488\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"488\" x2=\"152\" y2=\"488\" class=\"broken\"></line>\n",
+       "        <line x1=\"160\" y1=\"480\" x2=\"158\" y2=\"484\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,484 A 4,4 0,0,1 152,488\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 158,484 A 8,8 0,0,1 152,488\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 8,504 A 4,4 0,0,0 4,508\" class=\"nofill\"></path>\n",
+       "        <line x1=\"4\" y1=\"508\" x2=\"4\" y2=\"532\" class=\"solid\"></line>\n",
+       "        <line x1=\"8\" y1=\"504\" x2=\"24\" y2=\"504\" class=\"solid\"></line>\n",
+       "        <path d=\"M 24,504 A 4,4 0,0,1 28,508\" class=\"nofill\"></path>\n",
+       "        <line x1=\"28\" y1=\"508\" x2=\"28\" y2=\"532\" class=\"solid\"></line>\n",
+       "        <line x1=\"28\" y1=\"520\" x2=\"64\" y2=\"520\" class=\"broken\"></line>\n",
+       "        <line x1=\"44\" y1=\"520\" x2=\"44\" y2=\"820\" class=\"broken\"></line>\n",
+       "        <path d=\"M 4,532 A 4,4 0,0,0 8,536\" class=\"nofill\"></path>\n",
+       "        <line x1=\"8\" y1=\"536\" x2=\"24\" y2=\"536\" class=\"solid\"></line>\n",
+       "        <path d=\"M 28,532 A 4,4 0,0,1 24,536\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 44,820 A 4,4 0,0,0 48,824\" class=\"nofill\"></path>\n",
+       "        <line x1=\"48\" y1=\"824\" x2=\"64\" y2=\"824\" class=\"broken\"></line>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 136,504 A 4,4 0,0,0 132,508\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"508\" x2=\"132\" y2=\"532\" class=\"broken\"></line>\n",
+       "        <line x1=\"136\" y1=\"504\" x2=\"152\" y2=\"504\" class=\"broken\"></line>\n",
+       "        <path d=\"M 152,504 A 4,4 0,0,1 156,508\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 152,504 A 8,8 0,0,1 158,508\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"508\" x2=\"156\" y2=\"532\" class=\"broken\"></line>\n",
+       "        <line x1=\"158\" y1=\"508\" x2=\"160\" y2=\"512\" class=\"solid\"></line>\n",
+       "        <path d=\"M 160,512 A 16,16 0,0,1 160,528\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 132,532 A 4,4 0,0,0 136,536\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"536\" x2=\"152\" y2=\"536\" class=\"broken\"></line>\n",
+       "        <line x1=\"160\" y1=\"528\" x2=\"158\" y2=\"532\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,532 A 4,4 0,0,1 152,536\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 158,532 A 8,8 0,0,1 152,536\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <line x1=\"96\" y1=\"520\" x2=\"128\" y2=\"520\" class=\"broken\"></line>\n",
+       "        <line x1=\"108\" y1=\"520\" x2=\"108\" y2=\"612\" class=\"broken\"></line>\n",
+       "        <path d=\"M 108,612 A 4,4 0,0,0 112,616\" class=\"nofill\"></path>\n",
+       "        <line x1=\"112\" y1=\"616\" x2=\"128\" y2=\"616\" class=\"broken\"></line>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 136,552 A 4,4 0,0,0 132,556\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"556\" x2=\"132\" y2=\"580\" class=\"broken\"></line>\n",
+       "        <line x1=\"136\" y1=\"552\" x2=\"152\" y2=\"552\" class=\"broken\"></line>\n",
+       "        <path d=\"M 152,552 A 4,4 0,0,1 156,556\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 152,552 A 8,8 0,0,1 158,556\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"556\" x2=\"156\" y2=\"580\" class=\"broken\"></line>\n",
+       "        <line x1=\"158\" y1=\"556\" x2=\"160\" y2=\"560\" class=\"solid\"></line>\n",
+       "        <path d=\"M 160,560 A 16,16 0,0,1 160,576\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 132,580 A 4,4 0,0,0 136,584\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"584\" x2=\"152\" y2=\"584\" class=\"broken\"></line>\n",
+       "        <line x1=\"160\" y1=\"576\" x2=\"158\" y2=\"580\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,580 A 4,4 0,0,1 152,584\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 158,580 A 8,8 0,0,1 152,584\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 136,600 A 4,4 0,0,0 132,604\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"604\" x2=\"132\" y2=\"628\" class=\"broken\"></line>\n",
+       "        <line x1=\"136\" y1=\"600\" x2=\"152\" y2=\"600\" class=\"broken\"></line>\n",
+       "        <path d=\"M 152,600 A 4,4 0,0,1 156,604\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 152,600 A 8,8 0,0,1 158,604\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"604\" x2=\"156\" y2=\"628\" class=\"broken\"></line>\n",
+       "        <line x1=\"158\" y1=\"604\" x2=\"160\" y2=\"608\" class=\"solid\"></line>\n",
+       "        <path d=\"M 160,608 A 16,16 0,0,1 160,624\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 132,628 A 4,4 0,0,0 136,632\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"632\" x2=\"152\" y2=\"632\" class=\"broken\"></line>\n",
+       "        <line x1=\"160\" y1=\"624\" x2=\"158\" y2=\"628\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,628 A 4,4 0,0,1 152,632\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 158,628 A 8,8 0,0,1 152,632\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 136,648 A 4,4 0,0,0 132,652\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"652\" x2=\"132\" y2=\"676\" class=\"broken\"></line>\n",
+       "        <line x1=\"136\" y1=\"648\" x2=\"152\" y2=\"648\" class=\"broken\"></line>\n",
+       "        <path d=\"M 152,648 A 4,4 0,0,1 156,652\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 152,648 A 8,8 0,0,1 158,652\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"652\" x2=\"156\" y2=\"676\" class=\"broken\"></line>\n",
+       "        <line x1=\"158\" y1=\"652\" x2=\"160\" y2=\"656\" class=\"solid\"></line>\n",
+       "        <path d=\"M 160,656 A 16,16 0,0,1 160,672\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 132,676 A 4,4 0,0,0 136,680\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"680\" x2=\"152\" y2=\"680\" class=\"broken\"></line>\n",
+       "        <line x1=\"160\" y1=\"672\" x2=\"158\" y2=\"676\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,676 A 4,4 0,0,1 152,680\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 158,676 A 8,8 0,0,1 152,680\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <line x1=\"96\" y1=\"664\" x2=\"128\" y2=\"664\" class=\"broken\"></line>\n",
+       "        <line x1=\"108\" y1=\"664\" x2=\"108\" y2=\"772\" class=\"broken\"></line>\n",
+       "        <path d=\"M 108,772 A 4,4 0,0,0 112,776\" class=\"nofill\"></path>\n",
+       "        <line x1=\"112\" y1=\"776\" x2=\"128\" y2=\"776\" class=\"broken\"></line>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 200,696 A 4,4 0,0,0 196,700\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"700\" x2=\"196\" y2=\"756\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"696\" x2=\"216\" y2=\"696\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,696 A 4,4 0,0,1 220,700\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"700\" x2=\"220\" y2=\"756\" class=\"solid\"></line>\n",
+       "        <line x1=\"160\" y1=\"712\" x2=\"196\" y2=\"712\" class=\"solid\"></line>\n",
+       "        <line x1=\"172\" y1=\"712\" x2=\"172\" y2=\"740\" class=\"solid\"></line>\n",
+       "        <line x1=\"172\" y1=\"728\" x2=\"196\" y2=\"728\" class=\"solid\"></line>\n",
+       "        <path d=\"M 172,740 A 4,4 0,0,0 176,744\" class=\"nofill\"></path>\n",
+       "        <line x1=\"176\" y1=\"744\" x2=\"196\" y2=\"744\" class=\"solid\"></line>\n",
+       "        <path d=\"M 196,756 A 4,4 0,0,0 200,760\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"760\" x2=\"216\" y2=\"760\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,756 A 4,4 0,0,1 216,760\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 136,760 A 4,4 0,0,0 132,764\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"764\" x2=\"132\" y2=\"788\" class=\"broken\"></line>\n",
+       "        <line x1=\"136\" y1=\"760\" x2=\"152\" y2=\"760\" class=\"broken\"></line>\n",
+       "        <path d=\"M 152,760 A 4,4 0,0,1 156,764\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 152,760 A 8,8 0,0,1 158,764\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"764\" x2=\"156\" y2=\"788\" class=\"broken\"></line>\n",
+       "        <line x1=\"158\" y1=\"764\" x2=\"160\" y2=\"768\" class=\"solid\"></line>\n",
+       "        <path d=\"M 160,768 A 16,16 0,0,1 160,784\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 132,788 A 4,4 0,0,0 136,792\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"792\" x2=\"152\" y2=\"792\" class=\"broken\"></line>\n",
+       "        <line x1=\"160\" y1=\"784\" x2=\"158\" y2=\"788\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,788 A 4,4 0,0,1 152,792\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 158,788 A 8,8 0,0,1 152,792\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 136,808 A 4,4 0,0,0 132,812\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"812\" x2=\"132\" y2=\"836\" class=\"broken\"></line>\n",
+       "        <line x1=\"136\" y1=\"808\" x2=\"152\" y2=\"808\" class=\"broken\"></line>\n",
+       "        <path d=\"M 152,808 A 4,4 0,0,1 156,812\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 152,808 A 8,8 0,0,1 158,812\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"812\" x2=\"156\" y2=\"836\" class=\"broken\"></line>\n",
+       "        <line x1=\"158\" y1=\"812\" x2=\"160\" y2=\"816\" class=\"solid\"></line>\n",
+       "        <path d=\"M 160,816 A 16,16 0,0,1 160,832\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 132,836 A 4,4 0,0,0 136,840\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"840\" x2=\"152\" y2=\"840\" class=\"broken\"></line>\n",
+       "        <line x1=\"160\" y1=\"832\" x2=\"158\" y2=\"836\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,836 A 4,4 0,0,1 152,840\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 158,836 A 8,8 0,0,1 152,840\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <line x1=\"96\" y1=\"824\" x2=\"128\" y2=\"824\" class=\"broken\"></line>\n",
+       "        <line x1=\"108\" y1=\"824\" x2=\"108\" y2=\"916\" class=\"broken\"></line>\n",
+       "        <path d=\"M 108,916 A 4,4 0,0,0 112,920\" class=\"nofill\"></path>\n",
+       "        <line x1=\"112\" y1=\"920\" x2=\"128\" y2=\"920\" class=\"broken\"></line>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 136,856 A 4,4 0,0,0 132,860\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"860\" x2=\"132\" y2=\"884\" class=\"broken\"></line>\n",
+       "        <line x1=\"136\" y1=\"856\" x2=\"152\" y2=\"856\" class=\"broken\"></line>\n",
+       "        <path d=\"M 152,856 A 4,4 0,0,1 156,860\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 152,856 A 8,8 0,0,1 158,860\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"860\" x2=\"156\" y2=\"884\" class=\"broken\"></line>\n",
+       "        <line x1=\"158\" y1=\"860\" x2=\"160\" y2=\"864\" class=\"solid\"></line>\n",
+       "        <path d=\"M 160,864 A 16,16 0,0,1 160,880\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 132,884 A 4,4 0,0,0 136,888\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"888\" x2=\"152\" y2=\"888\" class=\"broken\"></line>\n",
+       "        <line x1=\"160\" y1=\"880\" x2=\"158\" y2=\"884\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,884 A 4,4 0,0,1 152,888\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 158,884 A 8,8 0,0,1 152,888\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 136,904 A 4,4 0,0,0 132,908\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"908\" x2=\"132\" y2=\"932\" class=\"broken\"></line>\n",
+       "        <line x1=\"136\" y1=\"904\" x2=\"152\" y2=\"904\" class=\"broken\"></line>\n",
+       "        <path d=\"M 152,904 A 4,4 0,0,1 156,908\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 152,904 A 8,8 0,0,1 158,908\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"908\" x2=\"156\" y2=\"932\" class=\"broken\"></line>\n",
+       "        <line x1=\"158\" y1=\"908\" x2=\"160\" y2=\"912\" class=\"solid\"></line>\n",
+       "        <path d=\"M 160,912 A 16,16 0,0,1 160,928\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 132,932 A 4,4 0,0,0 136,936\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"936\" x2=\"152\" y2=\"936\" class=\"broken\"></line>\n",
+       "        <line x1=\"160\" y1=\"928\" x2=\"158\" y2=\"932\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,932 A 4,4 0,0,1 152,936\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 158,932 A 8,8 0,0,1 152,936\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "</svg>"
+      ],
+      "text/plain": [
+       ".---.   .~~~.   .~~~.   .---.\n",
+       "|i0 |p0 ┊i1 ┊p1 ┊i2 ┊p2 |i3 |\n",
+       "`---'   `~~~'   `~~~'   `---'\n",
+       "=============================\n",
+       ".--.  0 .~~.  0 .~~.  0 .--.\n",
+       "|0 |~+~~┊0 ┊~+~~┊0 ┊-+--|1 |\n",
+       "`--' ┊  `~~' ┊  `~~' `--|2 |\n",
+       "     ┊       ┊  .~~.  2 `--'\n",
+       "     ┊       ┊~~┊1 ┊)\n",
+       "     ┊       ┊  `~~'\n",
+       "     ┊       ┊  .~~.  2\n",
+       "     ┊       `~~┊2 ┊)\n",
+       "     ┊        3 `~~'\n",
+       "     ┊  .~~.    .~~.  2 .--.\n",
+       "     ┊~~┊1 ┊~+~~┊0 ┊-+--|0 |\n",
+       "     ┊  `~~' ┊  `~~' `--|2 |\n",
+       "     ┊       ┊  .~~.  4 |--|\n",
+       "     ┊       ┊~~┊1 ┊----|0 |\n",
+       "     ┊       ┊  `~~'  5 `--'\n",
+       "     ┊       ┊  .~~.\n",
+       "     ┊       `~~┊2 ┊)\n",
+       "     ┊        6 `~~'\n",
+       "     ┊  .~~.    .~~.  5\n",
+       "     `~~┊2 ┊~+~~┊0 ┊)\n",
+       "      3 `~~' ┊  `~~'\n",
+       "             ┊  .~~.  5\n",
+       "             ┊~~┊1 ┊)\n",
+       "             ┊  `~~'\n",
+       "             ┊  .~~.  5\n",
+       "             `~~┊2 ┊)\n",
+       "              9 `~~'\n",
+       ".--.    .~~.    .~~.  5\n",
+       "|1 |~+~~┊0 ┊~+~~┊0 ┊)\n",
+       "`--' ┊  `~~' ┊  `~~'\n",
+       "     ┊       ┊  .~~.  5\n",
+       "     ┊       ┊~~┊1 ┊)\n",
+       "     ┊       ┊  `~~'\n",
+       "     ┊       ┊  .~~.  5\n",
+       "     ┊       `~~┊2 ┊)\n",
+       "     ┊       12 `~~'\n",
+       "     ┊  .~~.    .~~.  5\n",
+       "     ┊~~┊1 ┊~+~~┊0 ┊)\n",
+       "     ┊  `~~' ┊  `~~'\n",
+       "     ┊       ┊  .~~.  5 .--.\n",
+       "     ┊       ┊~~┊1 ┊-+--|0 |\n",
+       "     ┊       ┊  `~~' |--|1 |\n",
+       "     ┊       ┊       `--|2 |\n",
+       "     ┊       ┊  .~~.  8 `--'\n",
+       "     ┊       `~~┊2 ┊)\n",
+       "     ┊       15 `~~'\n",
+       "     ┊  .~~.    .~~.  8\n",
+       "     `~~┊2 ┊~+~~┊0 ┊)\n",
+       "      6 `~~' ┊  `~~'\n",
+       "             ┊  .~~.  8\n",
+       "             ┊~~┊1 ┊)\n",
+       "             ┊  `~~'\n",
+       "             ┊  .~~.  8\n",
+       "             `~~┊2 ┊)\n",
+       "             18 `~~'  8"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "text/markdown": [
+       "# DC-C-DC-S"
+      ],
+      "text/plain": [
+       "<IPython.core.display.Markdown object>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "image/svg+xml": [
+       "<svg xmlns=\"http://www.w3.org/2000/svg\" width=\"240\" height=\"368\">\n",
+       "    <style>line, path, circle,rect,polygon {\n",
+       "                          stroke: black;\n",
+       "                          stroke-width: 2;\n",
+       "                          stroke-opacity: 1;\n",
+       "                          fill-opacity: 1;\n",
+       "                          stroke-linecap: round;\n",
+       "                          stroke-linejoin: miter;\n",
+       "                        }\n",
+       "\n",
+       "                    text {\n",
+       "                        /* This fix the spacing bug in svg text*/\n",
+       "                        white-space: pre;\n",
+       "                        fill: black;\n",
+       "                        }\n",
+       "                        rect.backdrop{\n",
+       "                            stroke: none;\n",
+       "                            fill: white;\n",
+       "                        }\n",
+       "                        .broken{\n",
+       "                            stroke-dasharray: 8;\n",
+       "                        }\n",
+       "                        .filled{\n",
+       "                            fill: black;\n",
+       "                        }\n",
+       "                        .bg_filled{\n",
+       "                            fill: white;\n",
+       "                        }\n",
+       "                        .nofill{\n",
+       "                            fill: white;\n",
+       "                        }\n",
+       "\n",
+       "                        text {\n",
+       "                         font-family: monospace;\n",
+       "                         font-size: 14px;\n",
+       "                        }\n",
+       "\n",
+       "                        .end_marked_arrow{\n",
+       "                            marker-end: url(#arrow);\n",
+       "                         }\n",
+       "                        .start_marked_arrow{\n",
+       "                            marker-start: url(#arrow);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_diamond{\n",
+       "                            marker-end: url(#diamond);\n",
+       "                         }\n",
+       "                        .start_marked_diamond{\n",
+       "                            marker-start: url(#diamond);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_circle{\n",
+       "                            marker-end: url(#circle);\n",
+       "                         }\n",
+       "                        .start_marked_circle{\n",
+       "                            marker-start: url(#circle);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_open_circle{\n",
+       "                            marker-end: url(#open_circle);\n",
+       "                         }\n",
+       "                        .start_marked_open_circle{\n",
+       "                            marker-start: url(#open_circle);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_big_open_circle{\n",
+       "                            marker-end: url(#big_open_circle);\n",
+       "                         }\n",
+       "                        .start_marked_big_open_circle{\n",
+       "                            marker-start: url(#big_open_circle);\n",
+       "                         }\n",
+       "\n",
+       "                         \n",
+       "                        </style>\n",
+       "    <defs>\n",
+       "        <marker id=\"arrow\" viewBox=\"-2 -2 8 8\" refX=\"4\" refY=\"2\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <polygon points=\"0,0 0,4 4,2 0,0\"></polygon>\n",
+       "        </marker>\n",
+       "        <marker id=\"diamond\" viewBox=\"-2 -2 8 8\" refX=\"4\" refY=\"2\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <polygon points=\"0,2 2,0 4,2 2,4 0,2\"></polygon>\n",
+       "        </marker>\n",
+       "        <marker id=\"circle\" viewBox=\"0 0 8 8\" refX=\"4\" refY=\"4\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <circle cx=\"4\" cy=\"4\" r=\"2\" class=\"filled\"></circle>\n",
+       "        </marker>\n",
+       "        <marker id=\"open_circle\" viewBox=\"0 0 8 8\" refX=\"4\" refY=\"4\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <circle cx=\"4\" cy=\"4\" r=\"2\" class=\"bg_filled\"></circle>\n",
+       "        </marker>\n",
+       "        <marker id=\"big_open_circle\" viewBox=\"0 0 8 8\" refX=\"4\" refY=\"4\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <circle cx=\"4\" cy=\"4\" r=\"3\" class=\"bg_filled\"></circle>\n",
+       "        </marker>\n",
+       "    </defs>\n",
+       "    <rect x=\"4\" y=\"8\" width=\"32\" height=\"32\" class=\"solid nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"10\" y=\"28\" >i0</text>\n",
+       "    <rect x=\"68\" y=\"8\" width=\"32\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"74\" y=\"28\" >i1</text>\n",
+       "    <rect x=\"132\" y=\"8\" width=\"32\" height=\"32\" class=\"solid nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"138\" y=\"28\" >i2</text>\n",
+       "    <rect x=\"196\" y=\"8\" width=\"32\" height=\"32\" class=\"solid nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"202\" y=\"28\" >i3</text>\n",
+       "    <rect x=\"68\" y=\"72\" width=\"24\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"74\" y=\"92\" >0</text>\n",
+       "    <rect x=\"68\" y=\"120\" width=\"24\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"74\" y=\"140\" >1</text>\n",
+       "    <rect x=\"68\" y=\"264\" width=\"24\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"74\" y=\"284\" >1</text>\n",
+       "    <text x=\"42\" y=\"28\" >p0</text>\n",
+       "    <text x=\"106\" y=\"28\" >p1</text>\n",
+       "    <text x=\"170\" y=\"28\" >p2</text>\n",
+       "    <line x1=\"0\" y1=\"54\" x2=\"232\" y2=\"54\" class=\"solid\"></line>\n",
+       "    <line x1=\"0\" y1=\"58\" x2=\"232\" y2=\"58\" class=\"solid\"></line>\n",
+       "    <text x=\"50\" y=\"76\" >0</text>\n",
+       "    <text x=\"114\" y=\"76\" >0</text>\n",
+       "    <text x=\"178\" y=\"76\" >0</text>\n",
+       "    <text x=\"10\" y=\"92\" >0</text>\n",
+       "    <text x=\"138\" y=\"92\" >0</text>\n",
+       "    <text x=\"202\" y=\"92\" >1</text>\n",
+       "    <text x=\"114\" y=\"108\" >1</text>\n",
+       "    <text x=\"202\" y=\"108\" >2</text>\n",
+       "    <text x=\"178\" y=\"124\" >2</text>\n",
+       "    <line x1=\"48\" y1=\"136\" x2=\"64\" y2=\"136\" class=\"broken\"></line>\n",
+       "    <text x=\"138\" y=\"140\" >0</text>\n",
+       "    <text x=\"202\" y=\"140\" >0</text>\n",
+       "    <text x=\"202\" y=\"156\" >2</text>\n",
+       "    <text x=\"178\" y=\"172\" >4</text>\n",
+       "    <text x=\"74\" y=\"188\" >2</text>\n",
+       "    <text x=\"138\" y=\"188\" >1</text>\n",
+       "    <text x=\"202\" y=\"188\" >0</text>\n",
+       "    <text x=\"50\" y=\"204\" >3</text>\n",
+       "    <text x=\"114\" y=\"204\" >3</text>\n",
+       "    <text x=\"178\" y=\"204\" >5</text>\n",
+       "    <text x=\"114\" y=\"220\" >3</text>\n",
+       "    <text x=\"10\" y=\"236\" >1</text>\n",
+       "    <text x=\"74\" y=\"236\" >0</text>\n",
+       "    <text x=\"114\" y=\"268\" >3</text>\n",
+       "    <line x1=\"48\" y1=\"280\" x2=\"64\" y2=\"280\" class=\"broken\"></line>\n",
+       "    <text x=\"138\" y=\"284\" >1</text>\n",
+       "    <text x=\"202\" y=\"284\" >0</text>\n",
+       "    <text x=\"114\" y=\"300\" >4</text>\n",
+       "    <text x=\"202\" y=\"300\" >1</text>\n",
+       "    <text x=\"202\" y=\"316\" >2</text>\n",
+       "    <text x=\"74\" y=\"332\" >2</text>\n",
+       "    <text x=\"178\" y=\"332\" >8</text>\n",
+       "    <text x=\"50\" y=\"348\" >6</text>\n",
+       "    <text x=\"114\" y=\"348\" >4</text>\n",
+       "    <g>\n",
+       "        <path d=\"M 8,72 A 4,4 0,0,0 4,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"4\" y1=\"76\" x2=\"4\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"8\" y1=\"72\" x2=\"24\" y2=\"72\" class=\"solid\"></line>\n",
+       "        <path d=\"M 24,72 A 4,4 0,0,1 28,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"28\" y1=\"76\" x2=\"28\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"28\" y1=\"88\" x2=\"64\" y2=\"88\" class=\"broken\"></line>\n",
+       "        <line x1=\"44\" y1=\"88\" x2=\"44\" y2=\"180\" class=\"broken\"></line>\n",
+       "        <path d=\"M 4,100 A 4,4 0,0,0 8,104\" class=\"nofill\"></path>\n",
+       "        <line x1=\"8\" y1=\"104\" x2=\"24\" y2=\"104\" class=\"solid\"></line>\n",
+       "        <path d=\"M 28,100 A 4,4 0,0,1 24,104\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 44,180 A 4,4 0,0,0 48,184\" class=\"nofill\"></path>\n",
+       "        <line x1=\"48\" y1=\"184\" x2=\"64\" y2=\"184\" class=\"broken\"></line>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 136,72 A 4,4 0,0,0 132,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"76\" x2=\"132\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"136\" y1=\"72\" x2=\"152\" y2=\"72\" class=\"solid\"></line>\n",
+       "        <path d=\"M 152,72 A 4,4 0,0,1 156,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"76\" x2=\"156\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"96\" y1=\"88\" x2=\"132\" y2=\"88\" class=\"solid\"></line>\n",
+       "        <path d=\"M 132,100 A 4,4 0,0,0 136,104\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"104\" x2=\"152\" y2=\"104\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,100 A 4,4 0,0,1 152,104\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 200,72 A 4,4 0,0,0 196,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"76\" x2=\"196\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"72\" x2=\"216\" y2=\"72\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,72 A 4,4 0,0,1 220,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"76\" x2=\"220\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <line x1=\"156\" y1=\"88\" x2=\"196\" y2=\"88\" class=\"solid\"></line>\n",
+       "        <line x1=\"172\" y1=\"88\" x2=\"172\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <path d=\"M 172,100 A 4,4 0,0,0 176,104\" class=\"nofill\"></path>\n",
+       "        <line x1=\"176\" y1=\"104\" x2=\"196\" y2=\"104\" class=\"solid\"></line>\n",
+       "        <line x1=\"196\" y1=\"120\" x2=\"220\" y2=\"120\" class=\"solid\"></line>\n",
+       "        <line x1=\"196\" y1=\"168\" x2=\"220\" y2=\"168\" class=\"solid\"></line>\n",
+       "        <path d=\"M 196,196 A 4,4 0,0,0 200,200\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"200\" x2=\"216\" y2=\"200\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,196 A 4,4 0,0,1 216,200\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 136,120 A 4,4 0,0,0 132,124\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"124\" x2=\"132\" y2=\"148\" class=\"solid\"></line>\n",
+       "        <line x1=\"136\" y1=\"120\" x2=\"152\" y2=\"120\" class=\"solid\"></line>\n",
+       "        <path d=\"M 152,120 A 4,4 0,0,1 156,124\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"124\" x2=\"156\" y2=\"148\" class=\"solid\"></line>\n",
+       "        <line x1=\"96\" y1=\"136\" x2=\"132\" y2=\"136\" class=\"solid\"></line>\n",
+       "        <line x1=\"108\" y1=\"136\" x2=\"108\" y2=\"180\" class=\"solid\"></line>\n",
+       "        <line x1=\"156\" y1=\"136\" x2=\"196\" y2=\"136\" class=\"solid\"></line>\n",
+       "        <line x1=\"172\" y1=\"136\" x2=\"172\" y2=\"148\" class=\"solid\"></line>\n",
+       "        <path d=\"M 132,148 A 4,4 0,0,0 136,152\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"152\" x2=\"152\" y2=\"152\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,148 A 4,4 0,0,1 152,152\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 172,148 A 4,4 0,0,0 176,152\" class=\"nofill\"></path>\n",
+       "        <line x1=\"176\" y1=\"152\" x2=\"196\" y2=\"152\" class=\"solid\"></line>\n",
+       "        <path d=\"M 108,180 A 4,4 0,0,0 112,184\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 136,168 A 4,4 0,0,0 132,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"172\" x2=\"132\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <line x1=\"136\" y1=\"168\" x2=\"152\" y2=\"168\" class=\"solid\"></line>\n",
+       "        <path d=\"M 152,168 A 4,4 0,0,1 156,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"172\" x2=\"156\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <line x1=\"112\" y1=\"184\" x2=\"132\" y2=\"184\" class=\"solid\"></line>\n",
+       "        <line x1=\"156\" y1=\"184\" x2=\"196\" y2=\"184\" class=\"solid\"></line>\n",
+       "        <path d=\"M 132,196 A 4,4 0,0,0 136,200\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"200\" x2=\"152\" y2=\"200\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,196 A 4,4 0,0,1 152,200\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 72,168 A 4,4 0,0,0 68,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"68\" y1=\"172\" x2=\"68\" y2=\"196\" class=\"broken\"></line>\n",
+       "        <line x1=\"72\" y1=\"168\" x2=\"88\" y2=\"168\" class=\"broken\"></line>\n",
+       "        <path d=\"M 88,168 A 4,4 0,0,1 92,172\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 88,168 A 8,8 0,0,1 94,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"92\" y1=\"172\" x2=\"92\" y2=\"196\" class=\"broken\"></line>\n",
+       "        <line x1=\"94\" y1=\"172\" x2=\"96\" y2=\"176\" class=\"solid\"></line>\n",
+       "        <path d=\"M 96,176 A 16,16 0,0,1 96,192\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 68,196 A 4,4 0,0,0 72,200\" class=\"nofill\"></path>\n",
+       "        <line x1=\"72\" y1=\"200\" x2=\"88\" y2=\"200\" class=\"broken\"></line>\n",
+       "        <line x1=\"96\" y1=\"192\" x2=\"94\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <path d=\"M 92,196 A 4,4 0,0,1 88,200\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 94,196 A 8,8 0,0,1 88,200\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 8,216 A 4,4 0,0,0 4,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"4\" y1=\"220\" x2=\"4\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <line x1=\"8\" y1=\"216\" x2=\"24\" y2=\"216\" class=\"solid\"></line>\n",
+       "        <path d=\"M 24,216 A 4,4 0,0,1 28,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"28\" y1=\"220\" x2=\"28\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <line x1=\"28\" y1=\"232\" x2=\"64\" y2=\"232\" class=\"broken\"></line>\n",
+       "        <line x1=\"44\" y1=\"232\" x2=\"44\" y2=\"324\" class=\"broken\"></line>\n",
+       "        <path d=\"M 4,244 A 4,4 0,0,0 8,248\" class=\"nofill\"></path>\n",
+       "        <line x1=\"8\" y1=\"248\" x2=\"24\" y2=\"248\" class=\"solid\"></line>\n",
+       "        <path d=\"M 28,244 A 4,4 0,0,1 24,248\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 44,324 A 4,4 0,0,0 48,328\" class=\"nofill\"></path>\n",
+       "        <line x1=\"48\" y1=\"328\" x2=\"64\" y2=\"328\" class=\"broken\"></line>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 72,216 A 4,4 0,0,0 68,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"68\" y1=\"220\" x2=\"68\" y2=\"244\" class=\"broken\"></line>\n",
+       "        <line x1=\"72\" y1=\"216\" x2=\"88\" y2=\"216\" class=\"broken\"></line>\n",
+       "        <path d=\"M 88,216 A 4,4 0,0,1 92,220\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 88,216 A 8,8 0,0,1 94,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"92\" y1=\"220\" x2=\"92\" y2=\"244\" class=\"broken\"></line>\n",
+       "        <line x1=\"94\" y1=\"220\" x2=\"96\" y2=\"224\" class=\"solid\"></line>\n",
+       "        <path d=\"M 96,224 A 16,16 0,0,1 96,240\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 68,244 A 4,4 0,0,0 72,248\" class=\"nofill\"></path>\n",
+       "        <line x1=\"72\" y1=\"248\" x2=\"88\" y2=\"248\" class=\"broken\"></line>\n",
+       "        <line x1=\"96\" y1=\"240\" x2=\"94\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <path d=\"M 92,244 A 4,4 0,0,1 88,248\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 94,244 A 8,8 0,0,1 88,248\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 136,264 A 4,4 0,0,0 132,268\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"268\" x2=\"132\" y2=\"292\" class=\"solid\"></line>\n",
+       "        <line x1=\"136\" y1=\"264\" x2=\"152\" y2=\"264\" class=\"solid\"></line>\n",
+       "        <path d=\"M 152,264 A 4,4 0,0,1 156,268\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"268\" x2=\"156\" y2=\"292\" class=\"solid\"></line>\n",
+       "        <line x1=\"96\" y1=\"280\" x2=\"132\" y2=\"280\" class=\"solid\"></line>\n",
+       "        <path d=\"M 132,292 A 4,4 0,0,0 136,296\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"296\" x2=\"152\" y2=\"296\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,292 A 4,4 0,0,1 152,296\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 200,264 A 4,4 0,0,0 196,268\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"268\" x2=\"196\" y2=\"324\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"264\" x2=\"216\" y2=\"264\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,264 A 4,4 0,0,1 220,268\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"268\" x2=\"220\" y2=\"324\" class=\"solid\"></line>\n",
+       "        <line x1=\"156\" y1=\"280\" x2=\"196\" y2=\"280\" class=\"solid\"></line>\n",
+       "        <line x1=\"172\" y1=\"280\" x2=\"172\" y2=\"308\" class=\"solid\"></line>\n",
+       "        <line x1=\"172\" y1=\"296\" x2=\"196\" y2=\"296\" class=\"solid\"></line>\n",
+       "        <path d=\"M 172,308 A 4,4 0,0,0 176,312\" class=\"nofill\"></path>\n",
+       "        <line x1=\"176\" y1=\"312\" x2=\"196\" y2=\"312\" class=\"solid\"></line>\n",
+       "        <path d=\"M 196,324 A 4,4 0,0,0 200,328\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"328\" x2=\"216\" y2=\"328\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,324 A 4,4 0,0,1 216,328\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 72,312 A 4,4 0,0,0 68,316\" class=\"nofill\"></path>\n",
+       "        <line x1=\"68\" y1=\"316\" x2=\"68\" y2=\"340\" class=\"broken\"></line>\n",
+       "        <line x1=\"72\" y1=\"312\" x2=\"88\" y2=\"312\" class=\"broken\"></line>\n",
+       "        <path d=\"M 88,312 A 4,4 0,0,1 92,316\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 88,312 A 8,8 0,0,1 94,316\" class=\"nofill\"></path>\n",
+       "        <line x1=\"92\" y1=\"316\" x2=\"92\" y2=\"340\" class=\"broken\"></line>\n",
+       "        <line x1=\"94\" y1=\"316\" x2=\"96\" y2=\"320\" class=\"solid\"></line>\n",
+       "        <path d=\"M 96,320 A 16,16 0,0,1 96,336\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 68,340 A 4,4 0,0,0 72,344\" class=\"nofill\"></path>\n",
+       "        <line x1=\"72\" y1=\"344\" x2=\"88\" y2=\"344\" class=\"broken\"></line>\n",
+       "        <line x1=\"96\" y1=\"336\" x2=\"94\" y2=\"340\" class=\"solid\"></line>\n",
+       "        <path d=\"M 92,340 A 4,4 0,0,1 88,344\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 94,340 A 8,8 0,0,1 88,344\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "</svg>"
+      ],
+      "text/plain": [
+       ".---.   .~~~.   .---.   .---.\n",
+       "|i0 |p0 ┊i1 ┊p1 |i2 |p2 |i3 |\n",
+       "`---'   `~~~'   `---'   `---'\n",
+       "=============================\n",
+       ".--.  0 .~~.  0 .--.  0 .--.\n",
+       "|0 |~+~~┊0 ┊----|0 |-+--|1 |\n",
+       "`--' ┊  `~~'  1 `--' `--|2 |\n",
+       "     ┊  .~~.    .--.  2 |--|\n",
+       "     ┊~~┊1 ┊-+--|0 |-+--|0 |\n",
+       "     ┊  `~~' |  `--' `--|2 |\n",
+       "     ┊  .~~. |  .--.  4 |--|\n",
+       "     `~~┊2 ┊)`--|1 |----|0 |\n",
+       "      3 `~~'  3 `--'  5 `--'\n",
+       ".--.    .~~.  3\n",
+       "|1 |~+~~┊0 ┊)\n",
+       "`--' ┊  `~~'\n",
+       "     ┊  .~~.  3 .--.    .--.\n",
+       "     ┊~~┊1 ┊----|1 |-+--|0 |\n",
+       "     ┊  `~~'  4 `--' |--|1 |\n",
+       "     ┊  .~~.         `--|2 |\n",
+       "     `~~┊2 ┊)         8 `--'\n",
+       "      6 `~~'  4"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "text/markdown": [
+       "# DC-DC-C-S"
+      ],
+      "text/plain": [
+       "<IPython.core.display.Markdown object>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "image/svg+xml": [
+       "<svg xmlns=\"http://www.w3.org/2000/svg\" width=\"240\" height=\"528\">\n",
+       "    <style>line, path, circle,rect,polygon {\n",
+       "                          stroke: black;\n",
+       "                          stroke-width: 2;\n",
+       "                          stroke-opacity: 1;\n",
+       "                          fill-opacity: 1;\n",
+       "                          stroke-linecap: round;\n",
+       "                          stroke-linejoin: miter;\n",
+       "                        }\n",
+       "\n",
+       "                    text {\n",
+       "                        /* This fix the spacing bug in svg text*/\n",
+       "                        white-space: pre;\n",
+       "                        fill: black;\n",
+       "                        }\n",
+       "                        rect.backdrop{\n",
+       "                            stroke: none;\n",
+       "                            fill: white;\n",
+       "                        }\n",
+       "                        .broken{\n",
+       "                            stroke-dasharray: 8;\n",
+       "                        }\n",
+       "                        .filled{\n",
+       "                            fill: black;\n",
+       "                        }\n",
+       "                        .bg_filled{\n",
+       "                            fill: white;\n",
+       "                        }\n",
+       "                        .nofill{\n",
+       "                            fill: white;\n",
+       "                        }\n",
+       "\n",
+       "                        text {\n",
+       "                         font-family: monospace;\n",
+       "                         font-size: 14px;\n",
+       "                        }\n",
+       "\n",
+       "                        .end_marked_arrow{\n",
+       "                            marker-end: url(#arrow);\n",
+       "                         }\n",
+       "                        .start_marked_arrow{\n",
+       "                            marker-start: url(#arrow);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_diamond{\n",
+       "                            marker-end: url(#diamond);\n",
+       "                         }\n",
+       "                        .start_marked_diamond{\n",
+       "                            marker-start: url(#diamond);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_circle{\n",
+       "                            marker-end: url(#circle);\n",
+       "                         }\n",
+       "                        .start_marked_circle{\n",
+       "                            marker-start: url(#circle);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_open_circle{\n",
+       "                            marker-end: url(#open_circle);\n",
+       "                         }\n",
+       "                        .start_marked_open_circle{\n",
+       "                            marker-start: url(#open_circle);\n",
+       "                         }\n",
+       "\n",
+       "                        .end_marked_big_open_circle{\n",
+       "                            marker-end: url(#big_open_circle);\n",
+       "                         }\n",
+       "                        .start_marked_big_open_circle{\n",
+       "                            marker-start: url(#big_open_circle);\n",
+       "                         }\n",
+       "\n",
+       "                         \n",
+       "                        </style>\n",
+       "    <defs>\n",
+       "        <marker id=\"arrow\" viewBox=\"-2 -2 8 8\" refX=\"4\" refY=\"2\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <polygon points=\"0,0 0,4 4,2 0,0\"></polygon>\n",
+       "        </marker>\n",
+       "        <marker id=\"diamond\" viewBox=\"-2 -2 8 8\" refX=\"4\" refY=\"2\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <polygon points=\"0,2 2,0 4,2 2,4 0,2\"></polygon>\n",
+       "        </marker>\n",
+       "        <marker id=\"circle\" viewBox=\"0 0 8 8\" refX=\"4\" refY=\"4\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <circle cx=\"4\" cy=\"4\" r=\"2\" class=\"filled\"></circle>\n",
+       "        </marker>\n",
+       "        <marker id=\"open_circle\" viewBox=\"0 0 8 8\" refX=\"4\" refY=\"4\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <circle cx=\"4\" cy=\"4\" r=\"2\" class=\"bg_filled\"></circle>\n",
+       "        </marker>\n",
+       "        <marker id=\"big_open_circle\" viewBox=\"0 0 8 8\" refX=\"4\" refY=\"4\" markerWidth=\"7\" markerHeight=\"7\" orient=\"auto-start-reverse\">\n",
+       "            <circle cx=\"4\" cy=\"4\" r=\"3\" class=\"bg_filled\"></circle>\n",
+       "        </marker>\n",
+       "    </defs>\n",
+       "    <rect x=\"4\" y=\"8\" width=\"32\" height=\"32\" class=\"solid nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"10\" y=\"28\" >i0</text>\n",
+       "    <rect x=\"68\" y=\"8\" width=\"32\" height=\"32\" class=\"solid nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"74\" y=\"28\" >i1</text>\n",
+       "    <rect x=\"132\" y=\"8\" width=\"32\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"138\" y=\"28\" >i2</text>\n",
+       "    <rect x=\"196\" y=\"8\" width=\"32\" height=\"32\" class=\"solid nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"202\" y=\"28\" >i3</text>\n",
+       "    <rect x=\"132\" y=\"72\" width=\"24\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"138\" y=\"92\" >0</text>\n",
+       "    <rect x=\"132\" y=\"216\" width=\"24\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"138\" y=\"236\" >0</text>\n",
+       "    <rect x=\"132\" y=\"264\" width=\"24\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"138\" y=\"284\" >1</text>\n",
+       "    <rect x=\"132\" y=\"408\" width=\"24\" height=\"32\" class=\"broken nofill\" rx=\"4\"></rect>\n",
+       "    <text x=\"138\" y=\"428\" >1</text>\n",
+       "    <text x=\"42\" y=\"28\" >p0</text>\n",
+       "    <text x=\"106\" y=\"28\" >p1</text>\n",
+       "    <text x=\"170\" y=\"28\" >p2</text>\n",
+       "    <line x1=\"0\" y1=\"54\" x2=\"232\" y2=\"54\" class=\"solid\"></line>\n",
+       "    <line x1=\"0\" y1=\"58\" x2=\"232\" y2=\"58\" class=\"solid\"></line>\n",
+       "    <text x=\"50\" y=\"76\" >0</text>\n",
+       "    <text x=\"114\" y=\"76\" >0</text>\n",
+       "    <text x=\"178\" y=\"76\" >0</text>\n",
+       "    <text x=\"10\" y=\"92\" >0</text>\n",
+       "    <text x=\"74\" y=\"92\" >0</text>\n",
+       "    <text x=\"202\" y=\"92\" >1</text>\n",
+       "    <text x=\"202\" y=\"108\" >2</text>\n",
+       "    <text x=\"178\" y=\"124\" >2</text>\n",
+       "    <line x1=\"112\" y1=\"136\" x2=\"128\" y2=\"136\" class=\"broken\"></line>\n",
+       "    <text x=\"138\" y=\"140\" >1</text>\n",
+       "    <text x=\"138\" y=\"188\" >2</text>\n",
+       "    <text x=\"114\" y=\"204\" >3</text>\n",
+       "    <text x=\"178\" y=\"220\" >2</text>\n",
+       "    <text x=\"74\" y=\"236\" >1</text>\n",
+       "    <text x=\"202\" y=\"236\" >0</text>\n",
+       "    <text x=\"50\" y=\"252\" >2</text>\n",
+       "    <text x=\"202\" y=\"252\" >2</text>\n",
+       "    <text x=\"178\" y=\"268\" >4</text>\n",
+       "    <line x1=\"112\" y1=\"280\" x2=\"128\" y2=\"280\" class=\"broken\"></line>\n",
+       "    <text x=\"202\" y=\"284\" >0</text>\n",
+       "    <text x=\"178\" y=\"300\" >5</text>\n",
+       "    <text x=\"138\" y=\"332\" >2</text>\n",
+       "    <text x=\"114\" y=\"348\" >6</text>\n",
+       "    <text x=\"10\" y=\"380\" >1</text>\n",
+       "    <text x=\"74\" y=\"380\" >1</text>\n",
+       "    <text x=\"138\" y=\"380\" >0</text>\n",
+       "    <text x=\"50\" y=\"396\" >3</text>\n",
+       "    <text x=\"178\" y=\"412\" >5</text>\n",
+       "    <line x1=\"112\" y1=\"424\" x2=\"128\" y2=\"424\" class=\"broken\"></line>\n",
+       "    <text x=\"202\" y=\"428\" >0</text>\n",
+       "    <text x=\"202\" y=\"444\" >1</text>\n",
+       "    <text x=\"202\" y=\"460\" >2</text>\n",
+       "    <text x=\"178\" y=\"476\" >8</text>\n",
+       "    <text x=\"138\" y=\"492\" >2</text>\n",
+       "    <text x=\"114\" y=\"508\" >9</text>\n",
+       "    <text x=\"178\" y=\"172\" >2</text>\n",
+       "    <text x=\"178\" y=\"364\" >5</text>\n",
+       "    <text x=\"178\" y=\"508\" >8</text>\n",
+       "    <g>\n",
+       "        <path d=\"M 8,72 A 4,4 0,0,0 4,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"4\" y1=\"76\" x2=\"4\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"8\" y1=\"72\" x2=\"24\" y2=\"72\" class=\"solid\"></line>\n",
+       "        <path d=\"M 24,72 A 4,4 0,0,1 28,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"28\" y1=\"76\" x2=\"28\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <path d=\"M 4,100 A 4,4 0,0,0 8,104\" class=\"nofill\"></path>\n",
+       "        <line x1=\"8\" y1=\"104\" x2=\"24\" y2=\"104\" class=\"solid\"></line>\n",
+       "        <path d=\"M 28,100 A 4,4 0,0,1 24,104\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 72,72 A 4,4 0,0,0 68,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"68\" y1=\"76\" x2=\"68\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"72\" y1=\"72\" x2=\"88\" y2=\"72\" class=\"solid\"></line>\n",
+       "        <path d=\"M 88,72 A 4,4 0,0,1 92,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"92\" y1=\"76\" x2=\"92\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <line x1=\"28\" y1=\"88\" x2=\"68\" y2=\"88\" class=\"solid\"></line>\n",
+       "        <line x1=\"44\" y1=\"88\" x2=\"44\" y2=\"228\" class=\"solid\"></line>\n",
+       "        <line x1=\"92\" y1=\"88\" x2=\"128\" y2=\"88\" class=\"broken\"></line>\n",
+       "        <line x1=\"108\" y1=\"88\" x2=\"108\" y2=\"180\" class=\"broken\"></line>\n",
+       "        <path d=\"M 68,100 A 4,4 0,0,0 72,104\" class=\"nofill\"></path>\n",
+       "        <line x1=\"72\" y1=\"104\" x2=\"88\" y2=\"104\" class=\"solid\"></line>\n",
+       "        <path d=\"M 92,100 A 4,4 0,0,1 88,104\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 108,180 A 4,4 0,0,0 112,184\" class=\"nofill\"></path>\n",
+       "        <line x1=\"112\" y1=\"184\" x2=\"128\" y2=\"184\" class=\"broken\"></line>\n",
+       "        <path d=\"M 44,228 A 4,4 0,0,0 48,232\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 72,216 A 4,4 0,0,0 68,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"68\" y1=\"220\" x2=\"68\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <line x1=\"72\" y1=\"216\" x2=\"88\" y2=\"216\" class=\"solid\"></line>\n",
+       "        <path d=\"M 88,216 A 4,4 0,0,1 92,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"92\" y1=\"220\" x2=\"92\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <line x1=\"48\" y1=\"232\" x2=\"68\" y2=\"232\" class=\"solid\"></line>\n",
+       "        <line x1=\"92\" y1=\"232\" x2=\"128\" y2=\"232\" class=\"broken\"></line>\n",
+       "        <line x1=\"108\" y1=\"232\" x2=\"108\" y2=\"324\" class=\"broken\"></line>\n",
+       "        <path d=\"M 68,244 A 4,4 0,0,0 72,248\" class=\"nofill\"></path>\n",
+       "        <line x1=\"72\" y1=\"248\" x2=\"88\" y2=\"248\" class=\"solid\"></line>\n",
+       "        <path d=\"M 92,244 A 4,4 0,0,1 88,248\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 108,324 A 4,4 0,0,0 112,328\" class=\"nofill\"></path>\n",
+       "        <line x1=\"112\" y1=\"328\" x2=\"128\" y2=\"328\" class=\"broken\"></line>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 200,72 A 4,4 0,0,0 196,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"76\" x2=\"196\" y2=\"116\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"72\" x2=\"216\" y2=\"72\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,72 A 4,4 0,0,1 220,76\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"76\" x2=\"220\" y2=\"116\" class=\"solid\"></line>\n",
+       "        <line x1=\"160\" y1=\"88\" x2=\"196\" y2=\"88\" class=\"solid\"></line>\n",
+       "        <line x1=\"172\" y1=\"88\" x2=\"172\" y2=\"100\" class=\"solid\"></line>\n",
+       "        <path d=\"M 172,100 A 4,4 0,0,0 176,104\" class=\"nofill\"></path>\n",
+       "        <line x1=\"176\" y1=\"104\" x2=\"196\" y2=\"104\" class=\"solid\"></line>\n",
+       "        <path d=\"M 196,116 A 4,4 0,0,0 200,120\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"120\" x2=\"216\" y2=\"120\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,116 A 4,4 0,0,1 216,120\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 136,120 A 4,4 0,0,0 132,124\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"124\" x2=\"132\" y2=\"148\" class=\"broken\"></line>\n",
+       "        <line x1=\"136\" y1=\"120\" x2=\"152\" y2=\"120\" class=\"broken\"></line>\n",
+       "        <path d=\"M 152,120 A 4,4 0,0,1 156,124\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 152,120 A 8,8 0,0,1 158,124\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"124\" x2=\"156\" y2=\"148\" class=\"broken\"></line>\n",
+       "        <line x1=\"158\" y1=\"124\" x2=\"160\" y2=\"128\" class=\"solid\"></line>\n",
+       "        <path d=\"M 160,128 A 16,16 0,0,1 160,144\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 132,148 A 4,4 0,0,0 136,152\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"152\" x2=\"152\" y2=\"152\" class=\"broken\"></line>\n",
+       "        <line x1=\"160\" y1=\"144\" x2=\"158\" y2=\"148\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,148 A 4,4 0,0,1 152,152\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 158,148 A 8,8 0,0,1 152,152\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 136,168 A 4,4 0,0,0 132,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"172\" x2=\"132\" y2=\"196\" class=\"broken\"></line>\n",
+       "        <line x1=\"136\" y1=\"168\" x2=\"152\" y2=\"168\" class=\"broken\"></line>\n",
+       "        <path d=\"M 152,168 A 4,4 0,0,1 156,172\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 152,168 A 8,8 0,0,1 158,172\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"172\" x2=\"156\" y2=\"196\" class=\"broken\"></line>\n",
+       "        <line x1=\"158\" y1=\"172\" x2=\"160\" y2=\"176\" class=\"solid\"></line>\n",
+       "        <path d=\"M 160,176 A 16,16 0,0,1 160,192\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 132,196 A 4,4 0,0,0 136,200\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"200\" x2=\"152\" y2=\"200\" class=\"broken\"></line>\n",
+       "        <line x1=\"160\" y1=\"192\" x2=\"158\" y2=\"196\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,196 A 4,4 0,0,1 152,200\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 158,196 A 8,8 0,0,1 152,200\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 200,216 A 4,4 0,0,0 196,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"220\" x2=\"196\" y2=\"292\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"216\" x2=\"216\" y2=\"216\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,216 A 4,4 0,0,1 220,220\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"220\" x2=\"220\" y2=\"292\" class=\"solid\"></line>\n",
+       "        <line x1=\"160\" y1=\"232\" x2=\"196\" y2=\"232\" class=\"solid\"></line>\n",
+       "        <line x1=\"172\" y1=\"232\" x2=\"172\" y2=\"244\" class=\"solid\"></line>\n",
+       "        <path d=\"M 172,244 A 4,4 0,0,0 176,248\" class=\"nofill\"></path>\n",
+       "        <line x1=\"176\" y1=\"248\" x2=\"196\" y2=\"248\" class=\"solid\"></line>\n",
+       "        <line x1=\"196\" y1=\"264\" x2=\"220\" y2=\"264\" class=\"solid\"></line>\n",
+       "        <line x1=\"160\" y1=\"280\" x2=\"196\" y2=\"280\" class=\"solid\"></line>\n",
+       "        <path d=\"M 196,292 A 4,4 0,0,0 200,296\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"296\" x2=\"216\" y2=\"296\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,292 A 4,4 0,0,1 216,296\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 136,312 A 4,4 0,0,0 132,316\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"316\" x2=\"132\" y2=\"340\" class=\"broken\"></line>\n",
+       "        <line x1=\"136\" y1=\"312\" x2=\"152\" y2=\"312\" class=\"broken\"></line>\n",
+       "        <path d=\"M 152,312 A 4,4 0,0,1 156,316\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 152,312 A 8,8 0,0,1 158,316\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"316\" x2=\"156\" y2=\"340\" class=\"broken\"></line>\n",
+       "        <line x1=\"158\" y1=\"316\" x2=\"160\" y2=\"320\" class=\"solid\"></line>\n",
+       "        <path d=\"M 160,320 A 16,16 0,0,1 160,336\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 132,340 A 4,4 0,0,0 136,344\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"344\" x2=\"152\" y2=\"344\" class=\"broken\"></line>\n",
+       "        <line x1=\"160\" y1=\"336\" x2=\"158\" y2=\"340\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,340 A 4,4 0,0,1 152,344\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 158,340 A 8,8 0,0,1 152,344\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 8,360 A 4,4 0,0,0 4,364\" class=\"nofill\"></path>\n",
+       "        <line x1=\"4\" y1=\"364\" x2=\"4\" y2=\"388\" class=\"solid\"></line>\n",
+       "        <line x1=\"8\" y1=\"360\" x2=\"24\" y2=\"360\" class=\"solid\"></line>\n",
+       "        <path d=\"M 24,360 A 4,4 0,0,1 28,364\" class=\"nofill\"></path>\n",
+       "        <line x1=\"28\" y1=\"364\" x2=\"28\" y2=\"388\" class=\"solid\"></line>\n",
+       "        <path d=\"M 4,388 A 4,4 0,0,0 8,392\" class=\"nofill\"></path>\n",
+       "        <line x1=\"8\" y1=\"392\" x2=\"24\" y2=\"392\" class=\"solid\"></line>\n",
+       "        <path d=\"M 28,388 A 4,4 0,0,1 24,392\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 72,360 A 4,4 0,0,0 68,364\" class=\"nofill\"></path>\n",
+       "        <line x1=\"68\" y1=\"364\" x2=\"68\" y2=\"388\" class=\"solid\"></line>\n",
+       "        <line x1=\"72\" y1=\"360\" x2=\"88\" y2=\"360\" class=\"solid\"></line>\n",
+       "        <path d=\"M 88,360 A 4,4 0,0,1 92,364\" class=\"nofill\"></path>\n",
+       "        <line x1=\"92\" y1=\"364\" x2=\"92\" y2=\"388\" class=\"solid\"></line>\n",
+       "        <line x1=\"28\" y1=\"376\" x2=\"68\" y2=\"376\" class=\"solid\"></line>\n",
+       "        <line x1=\"92\" y1=\"376\" x2=\"128\" y2=\"376\" class=\"broken\"></line>\n",
+       "        <line x1=\"108\" y1=\"376\" x2=\"108\" y2=\"484\" class=\"broken\"></line>\n",
+       "        <path d=\"M 68,388 A 4,4 0,0,0 72,392\" class=\"nofill\"></path>\n",
+       "        <line x1=\"72\" y1=\"392\" x2=\"88\" y2=\"392\" class=\"solid\"></line>\n",
+       "        <path d=\"M 92,388 A 4,4 0,0,1 88,392\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 108,484 A 4,4 0,0,0 112,488\" class=\"nofill\"></path>\n",
+       "        <line x1=\"112\" y1=\"488\" x2=\"128\" y2=\"488\" class=\"broken\"></line>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 136,360 A 4,4 0,0,0 132,364\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"364\" x2=\"132\" y2=\"388\" class=\"broken\"></line>\n",
+       "        <line x1=\"136\" y1=\"360\" x2=\"152\" y2=\"360\" class=\"broken\"></line>\n",
+       "        <path d=\"M 152,360 A 4,4 0,0,1 156,364\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 152,360 A 8,8 0,0,1 158,364\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"364\" x2=\"156\" y2=\"388\" class=\"broken\"></line>\n",
+       "        <line x1=\"158\" y1=\"364\" x2=\"160\" y2=\"368\" class=\"solid\"></line>\n",
+       "        <path d=\"M 160,368 A 16,16 0,0,1 160,384\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 132,388 A 4,4 0,0,0 136,392\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"392\" x2=\"152\" y2=\"392\" class=\"broken\"></line>\n",
+       "        <line x1=\"160\" y1=\"384\" x2=\"158\" y2=\"388\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,388 A 4,4 0,0,1 152,392\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 158,388 A 8,8 0,0,1 152,392\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 200,408 A 4,4 0,0,0 196,412\" class=\"nofill\"></path>\n",
+       "        <line x1=\"196\" y1=\"412\" x2=\"196\" y2=\"468\" class=\"solid\"></line>\n",
+       "        <line x1=\"200\" y1=\"408\" x2=\"216\" y2=\"408\" class=\"solid\"></line>\n",
+       "        <path d=\"M 216,408 A 4,4 0,0,1 220,412\" class=\"nofill\"></path>\n",
+       "        <line x1=\"220\" y1=\"412\" x2=\"220\" y2=\"468\" class=\"solid\"></line>\n",
+       "        <line x1=\"160\" y1=\"424\" x2=\"196\" y2=\"424\" class=\"solid\"></line>\n",
+       "        <line x1=\"172\" y1=\"424\" x2=\"172\" y2=\"452\" class=\"solid\"></line>\n",
+       "        <line x1=\"172\" y1=\"440\" x2=\"196\" y2=\"440\" class=\"solid\"></line>\n",
+       "        <path d=\"M 172,452 A 4,4 0,0,0 176,456\" class=\"nofill\"></path>\n",
+       "        <line x1=\"176\" y1=\"456\" x2=\"196\" y2=\"456\" class=\"solid\"></line>\n",
+       "        <path d=\"M 196,468 A 4,4 0,0,0 200,472\" class=\"nofill\"></path>\n",
+       "        <line x1=\"200\" y1=\"472\" x2=\"216\" y2=\"472\" class=\"solid\"></line>\n",
+       "        <path d=\"M 220,468 A 4,4 0,0,1 216,472\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "    <g>\n",
+       "        <path d=\"M 136,472 A 4,4 0,0,0 132,476\" class=\"nofill\"></path>\n",
+       "        <line x1=\"132\" y1=\"476\" x2=\"132\" y2=\"500\" class=\"broken\"></line>\n",
+       "        <line x1=\"136\" y1=\"472\" x2=\"152\" y2=\"472\" class=\"broken\"></line>\n",
+       "        <path d=\"M 152,472 A 4,4 0,0,1 156,476\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 152,472 A 8,8 0,0,1 158,476\" class=\"nofill\"></path>\n",
+       "        <line x1=\"156\" y1=\"476\" x2=\"156\" y2=\"500\" class=\"broken\"></line>\n",
+       "        <line x1=\"158\" y1=\"476\" x2=\"160\" y2=\"480\" class=\"solid\"></line>\n",
+       "        <path d=\"M 160,480 A 16,16 0,0,1 160,496\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 132,500 A 4,4 0,0,0 136,504\" class=\"nofill\"></path>\n",
+       "        <line x1=\"136\" y1=\"504\" x2=\"152\" y2=\"504\" class=\"broken\"></line>\n",
+       "        <line x1=\"160\" y1=\"496\" x2=\"158\" y2=\"500\" class=\"solid\"></line>\n",
+       "        <path d=\"M 156,500 A 4,4 0,0,1 152,504\" class=\"nofill\"></path>\n",
+       "        <path d=\"M 158,500 A 8,8 0,0,1 152,504\" class=\"nofill\"></path>\n",
+       "    </g>\n",
+       "</svg>"
+      ],
+      "text/plain": [
+       ".---.   .---.   .~~~.   .---.\n",
+       "|i0 |p0 |i1 |p1 ┊i2 ┊p2 |i3 |\n",
+       "`---'   `---'   `~~~'   `---'\n",
+       "=============================\n",
+       ".--.  0 .--.  0 .~~.  0 .--.\n",
+       "|0 |-+--|0 |~+~~┊0 ┊-+--|1 |\n",
+       "`--' |  `--' ┊  `~~' `--|2 |\n",
+       "     |       ┊  .~~.  2 `--'\n",
+       "     |       ┊~~┊1 ┊)\n",
+       "     |       ┊  `~~'\n",
+       "     |       ┊  .~~.  2\n",
+       "     |       `~~┊2 ┊)\n",
+       "     |        3 `~~'\n",
+       "     |  .--.    .~~.  2 .--.\n",
+       "     `--|1 |~+~~┊0 ┊-+--|0 |\n",
+       "      2 `--' ┊  `~~' `--|2 |\n",
+       "             ┊  .~~.  4 |--|\n",
+       "             ┊~~┊1 ┊----|0 |\n",
+       "             ┊  `~~'  5 `--'\n",
+       "             ┊  .~~.\n",
+       "             `~~┊2 ┊)\n",
+       "              6 `~~'\n",
+       ".--.    .--.    .~~.  5\n",
+       "|1 |----|1 |~+~~┊0 ┊)\n",
+       "`--'  3 `--' ┊  `~~'\n",
+       "             ┊  .~~.  5 .--.\n",
+       "             ┊~~┊1 ┊-+--|0 |\n",
+       "             ┊  `~~' |--|1 |\n",
+       "             ┊       `--|2 |\n",
+       "             ┊  .~~.  8 `--'\n",
+       "             `~~┊2 ┊)\n",
+       "              9 `~~'  8"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "for sparsity in itertools.product(sparsities, sparsities, sparsities, [\"S\"]):\n",
+    "    if \"C\" not in sparsity:\n",
+    "        continue\n",
+    "    structure = \"-\".join(sparsity)\n",
+    "    IPython.display.display(IPython.display.Markdown(f\"# {structure}\"))\n",
+    "    IPython.display.display(SPZ(indices, (3, 3, 3, 3), structure))"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "07f40f47",
+   "metadata": {},
+   "source": [
+    "# voilà!"
+   ]
+  }
+ ],
+ "metadata": {
+  "kernelspec": {
+   "display_name": "Python 3 (ipykernel)",
+   "language": "python",
+   "name": "python3"
+  },
+  "language_info": {
+   "codemirror_mode": {
+    "name": "ipython",
+    "version": 3
+   },
+   "file_extension": ".py",
+   "mimetype": "text/x-python",
+   "name": "python",
+   "nbconvert_exporter": "python",
+   "pygments_lexer": "ipython3",
+   "version": "3.9.13"
+  }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 5
+}
diff --git a/spz_python/pyproject.toml b/spz_python/pyproject.toml
new file mode 100644
index 0000000..90ccf9c
--- /dev/null
+++ b/spz_python/pyproject.toml
@@ -0,0 +1,5 @@
+[build-system]
+requires = ["setuptools", "wheel"]
+
+[tool.black]
+line-length = 100
diff --git a/spz_python/requirements.txt b/spz_python/requirements.txt
new file mode 100644
index 0000000..5da331c
--- /dev/null
+++ b/spz_python/requirements.txt
@@ -0,0 +1,2 @@
+numpy
+pandas
diff --git a/spz_python/setup.cfg b/spz_python/setup.cfg
new file mode 100644
index 0000000..ba9a677
--- /dev/null
+++ b/spz_python/setup.cfg
@@ -0,0 +1,56 @@
+[aliases]
+test=pytest
+
+[flake8]
+max-line-length = 100
+inline-quotes = "
+exclude =
+    versioneer.py,
+ignore =
+    E203,   # whitespace before ':'
+    E231,   # Multiple spaces around ","
+    W503,   # line break before binary operator
+    B020
+per-file-ignores =
+    __init__.py:F401
+
+[isort]
+sections = FUTURE,STDLIB,THIRDPARTY,FIRSTPARTY,LOCALFOLDER
+profile = black
+skip_gitignore = true
+float_to_top = true
+default_section = THIRDPARTY
+known_first_party = spz
+line_length = 100
+
+[versioneer]
+VCS = git
+style = pep440
+versionfile_source = spz/_version.py
+versionfile_build = spz/_version.py
+tag_prefix=
+parentdir_prefix=spz-
+
+[tool:pytest]
+testpaths = spz/tests
+markers:
+  slow: Skipped unless --runslow passed
+
+[coverage:run]
+source = spz
+omit =
+    spz/_version.py
+
+[coverage:report]
+# Regexes for lines to exclude from consideration
+exclude_lines =
+    pragma: no cover
+
+    raise AssertionError
+    raise NotImplementedError
+
+ignore_errors = True
+precision = 1
+fail_under = 0
+skip_covered = True
+skip_empty = True
diff --git a/spz_python/setup.py b/spz_python/setup.py
new file mode 100644
index 0000000..f7d263c
--- /dev/null
+++ b/spz_python/setup.py
@@ -0,0 +1,47 @@
+from setuptools import find_packages, setup
+
+import versioneer
+
+install_requires = open("requirements.txt").read().strip().split("\n")
+extras_require = {
+    "test": ["pytest"],
+    "viz": ["sphinxcontrib-svgbob"],
+}
+extras_require["complete"] = sorted({v for req in extras_require.values() for v in req})
+
+with open("README.md") as f:
+    long_description = f.read()
+
+setup(
+    name="spz",
+    version=versioneer.get_version(),
+    cmdclass=versioneer.get_cmdclass(),
+    description="Explore multidimensional sparse data structures",
+    long_description=long_description,
+    long_description_content_type="text/markdown",
+    author="Erik Welch",
+    author_email="erik.n.welch@gmail.com",
+    url="https://github.com/GraphBLAS/binsparse-specification",
+    packages=find_packages(),
+    license="BSD",
+    python_requires=">=3.8",
+    setup_requires=[],
+    install_requires=install_requires,
+    extras_require=extras_require,
+    include_package_data=True,
+    classifiers=[
+        "Development Status :: 3 - Alpha" "License :: OSI Approved :: BSD License",
+        "Operating System :: OS Independent",
+        "Programming Language :: Python",
+        "Programming Language :: Python :: 3",
+        "Programming Language :: Python :: 3.8",
+        "Programming Language :: Python :: 3.9",
+        "Programming Language :: Python :: 3.10",
+        "Programming Language :: Python :: 3 :: Only",
+        "Intended Audience :: Developers",
+        "Intended Audience :: Science/Research",
+        "Topic :: Scientific/Engineering",
+        "Topic :: Scientific/Engineering :: Mathematics",
+    ],
+    zip_safe=False,
+)
diff --git a/spz_python/spz/__init__.py b/spz_python/spz/__init__.py
new file mode 100644
index 0000000..fb234b1
--- /dev/null
+++ b/spz_python/spz/__init__.py
@@ -0,0 +1,5 @@
+from . import _version
+from ._core import SPZ
+from .sparsetype import DC, C, S, compressed, doubly_compressed, sparse
+
+__version__ = _version.get_versions()["version"]
diff --git a/spz_python/spz/_core.py b/spz_python/spz/_core.py
new file mode 100644
index 0000000..129a0f3
--- /dev/null
+++ b/spz_python/spz/_core.py
@@ -0,0 +1,293 @@
+import numpy as np
+import pandas as pd
+
+from .sparsetype import DC, C, S, abbreviate, unabbreviate
+
+
+def repeatrange(repeat, *args):
+    """e.g., [0, 1, 2, 0, 1, 2]"""
+    return np.repeat(np.arange(*args)[None, :], repeat, axis=0).ravel()
+
+
+def issorted(array):
+    return np.all(array[:-1] <= array[1:])
+
+
+class SPZ:
+    def __init__(self, arrays, shape=None, structure=None):
+        if not isinstance(arrays, (list, tuple)):
+            raise TypeError("arrays argument must be a list or tuple of numpy arrays")
+        if not arrays:
+            raise ValueError("At least one array must be given")
+        arrays = [np.array(array) for array in arrays]
+        if not all(array.ndim == 1 for array in arrays):
+            raise ValueError("arrays must be a single dimension")
+        size = arrays[0].size
+        if not all(array.size == size for array in arrays):
+            raise ValueError("arrays must be the same size")
+        if not all(np.issubdtype(array.dtype, np.integer) for array in arrays):
+            raise ValueError("arrays must be integer dtype")
+        if not all((array >= 0).all() for array in arrays):
+            raise ValueError("array values must be positive")
+
+        if shape is not None:
+            self._shape = tuple(shape)
+            if not all(dimsize > 0 for dimsize in self._shape):
+                raise ValueError("Dimension sizes must be greater than 0")
+            if len(self._shape) != len(arrays):
+                raise ValueError("shape must be the same length as arrays")
+            if not all((array < dimsize).all() for array, dimsize in zip(arrays, self._shape)):
+                raise ValueError("index in array is out of bounds")
+        else:
+            self._shape = tuple(int(array.max()) + 1 for array in arrays)
+        shape = self._shape
+
+        if structure is None:  # Assume CSF
+            self._structure = [DC] * (len(arrays) - 1) + [S]
+        elif isinstance(structure, str):
+            self._structure = unabbreviate(structure)
+        else:
+            self._structure = unabbreviate(abbreviate(*structure))
+        if len(self._structure) != len(arrays):
+            raise ValueError("structure must be the same length as arrays")
+        if self._structure[-1] != S:
+            # C as the final dimension means "dense"
+            raise ValueError("The final dimension must be sparse structural type")
+
+        # Now the fun part!  Generate the compressed structure from COO
+        df = pd.DataFrame(arrays).T.sort_values(list(range(self.ndim)))
+        if df.duplicated().any():
+            raise ValueError("Duplicate indices found!")
+
+        # First create indices
+        indices = []
+        cols = list(df.columns)
+        num_s_levels = 0
+        prev = None
+        for sparsity, level in zip(self._structure, range(df.shape[-1])):
+            if sparsity == S:
+                num_s_levels += 1
+            elif sparsity == DC:
+                subdf = df[cols[: level + 1]].drop_duplicates()
+                for i in range(-num_s_levels - 1, 0):
+                    indices.append(subdf.iloc[:, i].values)
+                num_s_levels = 0
+            elif sparsity == C:
+                if level == 0:
+                    indices.append(np.arange(shape[level]))
+                elif prev == DC:
+                    subdf = df[cols[:level]].drop_duplicates()
+                    indices.append(repeatrange(len(subdf), shape[level]))
+                elif prev == S:
+                    subdf = df[cols[:level]].drop_duplicates()
+                    subdf = subdf.join(
+                        pd.DataFrame({cols[level]: range(shape[level])}), how="cross"
+                    )
+                    for i in range(-num_s_levels - 1, 0):
+                        indices.append(subdf.iloc[:, i].values)
+                    num_s_levels = 0
+                else:  # prev == C
+                    indices.append(repeatrange(indices[-1].size, shape[level]))
+            prev = sparsity
+        for i in range(-num_s_levels, 0):
+            indices.append(df.iloc[:, i].values)
+        self._indices = indices
+
+        # Now create pointers
+        pointers = []
+        for sparsity, level in zip(self._structure[:-1], range(df.shape[-1] - 1)):
+            if sparsity == S:
+                ptr = np.arange(indices[level].size + 1)
+            elif self._structure[level + 1] == C:
+                ptr = np.arange(len(indices[level]) + 1) * shape[level + 1]
+                if sparsity == C:
+                    # Update subdf to use later
+                    if level == 0:
+                        subdf = pd.DataFrame({cols[level]: range(shape[level])})
+                    elif self._structure[level - 1] == C:
+                        subdf = subdf.join(
+                            pd.DataFrame({cols[level]: range(shape[level])}), how="cross"
+                        )
+                    else:
+                        subdf = df[cols[:level]].drop_duplicates()
+                        subdf = subdf.join(
+                            pd.DataFrame({cols[level]: range(shape[level])}), how="cross"
+                        )
+            elif sparsity == DC:
+                if self._structure[level + 1] == DC:
+                    subdf = df[cols[: level + 2]].drop_duplicates()
+                else:  # sparsity[level + 1] == S
+                    # number of "S" immediately after this level
+                    nums = 0
+                    for item in self._structure[level + 1 :]:
+                        if item == S:
+                            nums += 1
+                        else:
+                            break
+                    subdf = df[cols[: level + nums + 1]].drop_duplicates()
+                    if len(self._structure) > level + nums + 1:
+                        if self._structure[level + nums + 1] == C:
+                            subdf = subdf.join(
+                                pd.DataFrame(
+                                    {cols[level + nums + 1]: range(shape[level + nums + 1])}
+                                ),
+                                how="cross",
+                            )
+                        elif self._structure[level + nums + 1] == DC:
+                            subdf = df[cols[: level + nums + 2]].drop_duplicates()
+                ptr = np.zeros(indices[level].size + 1, int)
+                ptr[1:] = subdf.groupby(cols[: level + 1])[cols[level + 1]].count().cumsum()
+            elif sparsity == C:
+                if level > 0:
+                    if self._structure[level - 1] == C:
+                        subdf1 = subdf
+                    else:
+                        subdf1 = df[cols[:level]].drop_duplicates()
+                subdf = pd.DataFrame({cols[level]: range(shape[level])})
+                if level > 0:
+                    subdf = subdf1.join(subdf, how="cross")
+                if self._structure[level + 1] == DC:
+                    subdf2 = df[cols[: level + 2]].drop_duplicates()
+                else:  # sparsity[level + 1] == S
+                    # number of "S" immediately after this level
+                    nums = 0
+                    for item in self._structure[level + 1 :]:
+                        if item == S:
+                            nums += 1
+                        else:
+                            break
+                    subdf2 = df[cols[: level + nums + 1]].drop_duplicates()
+                    if len(self._structure) > level + nums + 1:
+                        if self._structure[level + nums + 1] == C:
+                            subdf2 = subdf2.join(
+                                pd.DataFrame(
+                                    {cols[level + nums + 1]: range(shape[level + nums + 1])}
+                                ),
+                                how="cross",
+                            )
+                        elif self._structure[level + nums + 1] == DC:
+                            subdf2 = df[cols[: level + nums + 2]].drop_duplicates()
+                subdf3 = subdf.merge(subdf2, how="left")
+                subdf3[level + 1] = subdf3[level + 1].notnull()
+                ptr = np.zeros(indices[level].size + 1, int)
+                ptr[1:] = subdf3.groupby(cols[: level + 1])[level + 1].sum().cumsum()
+            pointers.append(ptr)
+        self._pointers = pointers
+        # TODO: can we detect and change sparsity type to be more efficient?
+        # For example, so we don't need to store a pointers or indices.
+
+    def _validate(self):
+        indices = self._indices
+        pointers = self._pointers
+        structure = self._structure
+        ndim = self.ndim
+        shape = self.shape
+        assert len(indices) == len(pointers) + 1 == ndim
+        for idx in indices:
+            assert idx.dtype == int
+        for ptr in pointers:
+            assert ptr.dtype == int
+        for idx, ptr in zip(indices[:-1], pointers):
+            assert len(ptr) == len(idx) + 1
+        for idx, ptr in zip(indices[1:], pointers):
+            assert ptr[0] == 0
+            assert ptr[-1] == len(idx)
+        for ptr in pointers:
+            assert issorted(ptr)
+        assert issorted(indices[0])
+        assert indices[0][0] >= 0
+        assert indices[0][-1] < shape[0]
+        for i, (idx, ptr) in enumerate(zip(indices[1:], pointers), 1):
+            for start, stop in zip(ptr[:-1], ptr[1:]):
+                assert issorted(idx[start:stop])
+                if start < stop:
+                    assert idx[start] >= 0
+                assert idx[stop - 1] < shape[i]
+        assert structure[-1] == S
+        for i, (sparsity, idx, ptr) in enumerate(zip(structure[:-1], indices, pointers[:-1])):
+            if sparsity == C:
+                if i == 0:
+                    assert len(idx) == shape[0]
+                elif structure[i - 1] != S:
+                    assert len(idx) == len(self._indices[i - 1]) * shape[i]
+            elif sparsity == S:
+                assert len(idx) == len(indices[i + 1])
+            elif sparsity == DC:
+                if i == 0:
+                    assert len(idx) == len(set(idx))
+                assert len(ptr) == len(set(ptr))
+            else:  # pragma: no cover
+                raise AssertionError()
+
+    def as_structure(self, structure):
+        return SPZ(self.arrays, self.shape, structure)
+
+    def get_index(self, dim):
+        return self._indices[dim]
+
+    def get_pointers(self, dim):
+        return self._pointers[dim]
+
+    @property
+    def indices(self):
+        rv = list(self._indices)
+        for i, sparsity in enumerate(self._structure):
+            if sparsity == C:
+                rv[i] = None
+        return rv
+
+    @property
+    def pointers(self):
+        rv = list(self._pointers)
+        for i, sparsity in enumerate(self._structure[:-1]):
+            if sparsity == S:
+                rv[i] = None
+            elif sparsity == C and i > 0:
+                rv[i - 1] = None
+        return rv
+
+    @property
+    def ndim(self):
+        return len(self._shape)
+
+    @property
+    def shape(self):
+        return self._shape
+
+    @property
+    def structure(self):
+        return self._structure
+
+    @property
+    def abbreviation(self):
+        return abbreviate(self._structure)
+
+    @property
+    def arrays(self):
+        return [np.array(array) for array in zip(*_to_coo(self._indices, self._pointers))]
+
+    def _repr_svg_(self):
+        try:
+            from ._formatting import to_svg
+        except ImportError:
+            return
+        return to_svg(self)
+
+    def __repr__(self):
+        from ._formatting import to_text
+
+        return to_text(self)
+
+
+def _to_coo(indices, pointers, start=0, stop=None):
+    index, *indices = indices
+    if stop is None:
+        stop = len(index)
+    if not indices:
+        for idx in index[start:stop]:
+            yield (idx,)
+        return
+    ptrs, *pointers = pointers
+    for idx, start, stop in zip(index[start:stop], ptrs[start:stop], ptrs[start + 1 : stop + 1]):
+        for indexes in _to_coo(indices, pointers, start, stop):
+            yield (idx,) + indexes
diff --git a/spz_python/spz/_formatting.py b/spz_python/spz/_formatting.py
new file mode 100644
index 0000000..7892adb
--- /dev/null
+++ b/spz_python/spz/_formatting.py
@@ -0,0 +1,301 @@
+import itertools
+
+import numpy as np
+
+concat = itertools.chain.from_iterable
+
+
+def _to_level(indices, pointers, level=0, start=0, stop=None):
+    index, *indices = indices
+    if stop is None:
+        stop = len(index)
+    if not indices:
+        for _ in range(start, stop):
+            yield level
+            level += 1
+        return
+    ptrs, *pointers = pointers
+    for start, stop in zip(ptrs[start:stop], ptrs[start + 1 : stop + 1]):
+        levels = list(_to_level(indices, pointers, level, start, stop))
+        yield [level, levels]
+        maxlevel = level
+        while levels:
+            vals = [val for val in levels if not isinstance(val, list)]
+            if vals:
+                maxlevel = max(maxlevel, max(vals))
+            levels = list(concat(val for val in levels if isinstance(val, list)))
+        level = maxlevel + 1
+
+
+def index_levels(self):
+    levels = list(_to_level(self._indices, self._pointers))
+    if self.ndim == 1:
+        return [levels]
+    rv = []
+    rv.append([x for x, _ in levels])
+    for _ in range(len(self._pointers) - 1):
+        levels = list(concat(y for _, y in levels))
+        rv.append([x for x, _ in levels])
+    rv.append(list(concat(y for _, y in levels)))
+    return rv
+
+
+def _to_group(indices, pointers, group=None, start=0, stop=None):
+    index, *indices = indices
+    if stop is None:
+        stop = len(index)
+    if not indices:
+        for i in range(start, stop):
+            if group is None:
+                yield i
+            else:
+                yield group
+        return
+    ptrs, *pointers = pointers
+    for i, (start, stop) in enumerate(zip(ptrs[start:stop], ptrs[start + 1 : stop + 1])):
+        cur_group = i if group is None else group
+        groups = list(_to_group(indices, pointers, cur_group, start, stop))
+        yield [cur_group, groups]
+
+
+def index_groups(self):
+    groups = list(_to_group(self._indices, self._pointers))
+    if self.ndim == 1:
+        return [groups]
+    rv = []
+    rv.append([x for x, _ in groups])
+    for _ in range(len(self._pointers) - 1):
+        groups = list(concat(y for _, y in groups))
+        rv.append([x for x, _ in groups])
+    rv.append(list(concat(y for _, y in groups)))
+    return rv
+
+
+def get_layout(self, *, squared=False):
+    indices = self._indices
+    pointers = self._pointers
+
+    # Xs is easy
+    index_widths = [2 + max(2, len(str(index.max()))) for index in indices]
+    pointers_widths = [max(4, len(str(ptr.max()))) for ptr in pointers]
+    index_widths = [2 + max(2, len(str(index.max()))) for index in indices]
+    pointers_widths = [max(4, len(str(ptr.max()))) for ptr in pointers]
+    widths = [0]
+    for ws in zip(index_widths[:-1], pointers_widths):
+        widths.extend(ws)
+    xoffsets = np.cumsum(widths)
+
+    # Now we need to determins Ys.  Get initial guesses.
+    groups = index_groups(self)
+    if self.ndim > 1:
+        yoffsets = [list(np.arange(len(index)) * 3) for index in indices[:-2]]
+        last_in_group = np.diff(np.pad(groups[-1], (0, 1)))[
+            [min(x, len(groups[-1]) - 1) for x in pointers[-1][:-2]]
+        ].astype(bool)
+        diffed = np.diff(pointers[-1])[:-1]
+        yoffsets.append(
+            np.pad((np.maximum(2, diffed + last_in_group) + 1 + squared).cumsum(), (1, 0)).tolist()
+        )
+        yoffsets.append(list(range(len(indices[-1]))))  # We handle constraints in the line above
+    else:
+        yoffsets = [list(range(len(indices[-1])))]
+
+    # Now update by matching level ys
+    levels = index_levels(self)
+    inplay = set(zip(concat(levels), concat(yoffsets)))
+    for level in sorted({x for x, _ in inplay}):
+        heights = sorted({y for x, y in inplay if x == level})
+        if len(heights) == 1:
+            continue
+        max_height = max(heights)
+        new_yoffsets = []
+        for ys, cur_levels in zip(yoffsets, levels):
+            if level not in cur_levels or ys[cur_levels.index(level)] == max_height:
+                new_yoffsets.append(ys)
+                continue
+            diff = max_height - ys[cur_levels.index(level)]
+            new_yoffsets.append([y if lvl < level else y + diff for y, lvl in zip(ys, cur_levels)])
+        yoffsets = new_yoffsets
+        inplay = set(zip(concat(levels), concat(yoffsets)))
+
+    return index_widths, pointers_widths, xoffsets, yoffsets
+
+
+def autoexpand(func):
+    """Make the canvas larger if there is an IndexError"""
+
+    def inner(canvas, *args, **kwargs):
+        for _ in range(1000):
+            try:
+                return func(canvas, *args, **kwargs)
+            except IndexError:
+                for row in canvas:
+                    row.append(" ")
+                canvas.append([" "] * len(canvas[0]))
+
+    return inner
+
+
+@autoexpand
+def draw_box(canvas, x, y, width, val, *, dashed=False, square=False, cap_right=False):
+    h = "~" if dashed else "-"
+    v = "┊" if dashed else "|"
+    canvas[y][x] = "+" if square else "."
+    canvas[y + 1][x] = v
+    canvas[y + 2][x] = "+" if square else "`"
+    canvas[y][x + width - 1] = "+" if square else "."
+    canvas[y + 1][x + width - 1] = v
+    canvas[y + 2][x + width - 1] = "+" if square else "'"
+    for w in range(1, width - 1):
+        canvas[y][x + w] = h
+        canvas[y + 2][x + w] = h
+    sval = str(val).center(width - 2)
+    for c, w in zip(sval, range(1, width - 1)):
+        canvas[y + 1][x + w] = c
+    if cap_right:
+        canvas[y + 1][x + width] = ")"
+
+
+@autoexpand
+def draw_final_boxes(canvas, x, ys, width, index, *, square=False):
+    prev_y = -999
+    for y, idx in zip(ys, index):
+        if y - prev_y > 2:
+            canvas[y][x] = "+" if square else "."
+            for w in range(1, width - 1):
+                canvas[y][x + w] = "-"
+            canvas[y][x + width - 1] = "+" if square else "."
+            # Close previous box
+            if prev_y >= 0:
+                canvas[prev_y + 2][x] = "+" if square else "`"
+                for w in range(1, width - 1):
+                    canvas[prev_y + 2][x + w] = "-"
+                canvas[prev_y + 2][x + width - 1] = "+" if square else "'"
+        elif y - prev_y == 2:
+            # Connected, but separate by horizontal line
+            canvas[y][x] = "|"
+            for w in range(1, width - 1):
+                canvas[y][x + w] = "-"
+            canvas[y][x + width - 1] = "|"
+        canvas[y + 1][x] = "|"
+        sval = str(idx).center(width - 2)
+        for c, w in zip(sval, range(1, width - 1)):
+            canvas[y + 1][x + w] = c
+        canvas[y + 1][x + width - 1] = "|"
+        prev_y = y
+    # Close last box
+    canvas[prev_y + 2][x] = "+" if square else "`"
+    for w in range(1, width - 1):
+        canvas[prev_y + 2][x + w] = "-"
+    canvas[prev_y + 2][x + width - 1] = "+" if square else "'"
+
+
+@autoexpand
+def draw_line(canvas, x, y, w, *, dashed=False, double=False, chain=False):
+    c = "~" if dashed else "-"
+    if double:
+        c = "="
+    for i in range(w):
+        if dashed and double and i % 2:
+            continue
+        if chain:
+            c = "=" if i % 2 else "-"
+        canvas[y][x + i] = c
+
+
+@autoexpand
+def draw_bendy_line(canvas, x, y1, y2, w, *, dashed=False, squared=False):
+    h = "~" if dashed else "-"
+    v = "┊" if dashed else "|"
+    for i in range(w - 2, w):
+        canvas[y2][x + i] = h
+    for i in range(y1 + 1, y2):
+        canvas[i][x + w - 3] = v
+    canvas[y1][x + w - 3] = "+"
+    canvas[y2][x + w - 3] = "+" if squared else "`"
+
+
+@autoexpand
+def draw_pointer(canvas, x, y, w, ptr, *, center_right=False, skip_if_nonempty=False):
+    if center_right and w % 2 != len(str(ptr)) % 2:
+        sptr = str(ptr).center(w + 1)[:-1]
+    else:
+        sptr = str(ptr).center(w)
+    if skip_if_nonempty:
+        for i in range(len(sptr)):
+            if canvas[y][x + i] != " ":
+                return
+    for i, c in enumerate(sptr):
+        canvas[y][x + i] = c
+
+
+def to_text(self, *, squared=False):
+    indices = self._indices
+    pointers = self._pointers
+    index_widths, pointers_widths, xoffsets, yoffsets = get_layout(self, squared=squared)
+    # Doesn't need to be perfect: we'll expand the canvas as needed
+    xmax = max(xoffsets) + 1
+    ymax = max(concat(yoffsets)) + 1
+    canvas = [[" "] * xmax for _ in range(ymax)]
+    # Draw boxes of indices
+    for i, (width, x, ys, index, ptrs) in enumerate(
+        zip(index_widths[:-1], xoffsets[::2], yoffsets, indices[:-1], pointers)
+    ):
+        dashed = self.indices[i] is None
+        for y, idx, start, stop in zip(ys, index, ptrs[:-1], ptrs[1:]):
+            cap_right = start == stop
+            draw_box(canvas, x, y, width, idx, dashed=dashed, square=squared, cap_right=cap_right)
+    draw_final_boxes(
+        canvas, xoffsets[-1], yoffsets[-1], index_widths[-1], indices[-1], square=squared
+    )
+
+    # Draw lines for pointers
+    for i, (x, w) in enumerate(zip(xoffsets[1::2], pointers_widths)):
+        dashed = self.pointers[i] is None
+        prev_start = 0
+        for j, (yinit, start, stop) in enumerate(
+            zip(yoffsets[i], pointers[i][:-1], pointers[i][1:])
+        ):
+            if j == 0 or prev_start == start:
+                draw_pointer(canvas, x, yinit, w, start, center_right=True, skip_if_nonempty=True)
+            for y in yoffsets[i + 1][start:stop]:
+                if y == yinit:
+                    draw_line(canvas, x, y + 1, w, dashed=dashed)
+                else:
+                    draw_bendy_line(canvas, x, yinit + 1, y + 1, w, dashed=dashed, squared=squared)
+            draw_pointer(canvas, x, y + 2, w, stop, center_right=True)
+            prev_start = start
+        if start == stop:
+            draw_pointer(
+                canvas,
+                xoffsets[2 * i + 1],
+                yoffsets[i][-1] + 2,
+                w,
+                start,
+                center_right=True,
+                skip_if_nonempty=True,
+            )
+
+    # Draw header
+    header = [[" "] * xmax for _ in range(4)]
+    for i, (x, w, index) in enumerate(zip(xoffsets[::2], index_widths, self.indices)):
+        draw_box(header, x, 0, w + 1, f"i{i} ", square=squared, dashed=index is None)
+    for i, (x, w) in enumerate(zip(xoffsets[1::2], pointers_widths)):
+        draw_pointer(header, x + 1, 1, w - 2, f"p{i}", center_right=False)
+    draw_line(header, 0, 3, len("".join(header[0]).rstrip()), double=True)
+
+    # Strip extra white space
+    hrows = ["".join(row).rstrip() for row in header]
+    while hrows and not hrows[-1]:
+        hrows.pop()
+    rows = ["".join(row).rstrip() for row in canvas]
+    while rows and not rows[-1]:
+        rows.pop()
+    return "\n".join(hrows + rows)
+
+
+def to_svg(self):
+    from sphinxcontrib.svgbob._svgbob import to_svg as _to_svg
+
+    text = to_text(self)
+    return _to_svg(text)
diff --git a/spz_python/spz/_version.py b/spz_python/spz/_version.py
new file mode 100644
index 0000000..b47e5cd
--- /dev/null
+++ b/spz_python/spz/_version.py
@@ -0,0 +1,689 @@
+# This file helps to compute a version number in source trees obtained from
+# git-archive tarball (such as those provided by githubs download-from-tag
+# feature). Distribution tarballs (built by setup.py sdist) and build
+# directories (produced by setup.py build) will contain a much shorter file
+# that just contains the computed version number.
+
+# This file is released into the public domain. Generated by
+# versioneer-0.23 (https://github.com/python-versioneer/python-versioneer)
+
+"""Git implementation of _version.py."""
+
+import errno
+import functools
+import os
+import re
+import subprocess
+import sys
+from typing import Callable, Dict
+
+
+def get_keywords():
+    """Get the keywords needed to look up the version information."""
+    # these strings will be replaced by git during git-archive.
+    # setup.py/versioneer.py will grep for the variable names, so they must
+    # each be defined on a line of their own. _version.py will just call
+    # get_keywords().
+    git_refnames = "$Format:%d$"
+    git_full = "$Format:%H$"
+    git_date = "$Format:%ci$"
+    keywords = {"refnames": git_refnames, "full": git_full, "date": git_date}
+    return keywords
+
+
+class VersioneerConfig:
+    """Container for Versioneer configuration parameters."""
+
+
+def get_config():
+    """Create, populate and return the VersioneerConfig() object."""
+    # these strings are filled in when 'setup.py versioneer' creates
+    # _version.py
+    cfg = VersioneerConfig()
+    cfg.VCS = "git"
+    cfg.style = "pep440"
+    cfg.tag_prefix = ""
+    cfg.parentdir_prefix = "spz-"
+    cfg.versionfile_source = "spz/_version.py"
+    cfg.verbose = False
+    return cfg
+
+
+class NotThisMethod(Exception):
+    """Exception raised if a method is not valid for the current scenario."""
+
+
+LONG_VERSION_PY: Dict[str, str] = {}
+HANDLERS: Dict[str, Dict[str, Callable]] = {}
+
+
+def register_vcs_handler(vcs, method):  # decorator
+    """Create decorator to mark a method as the handler of a VCS."""
+
+    def decorate(f):
+        """Store f in HANDLERS[vcs][method]."""
+        if vcs not in HANDLERS:
+            HANDLERS[vcs] = {}
+        HANDLERS[vcs][method] = f
+        return f
+
+    return decorate
+
+
+def run_command(commands, args, cwd=None, verbose=False, hide_stderr=False, env=None):
+    """Call the given command(s)."""
+    assert isinstance(commands, list)
+    process = None
+
+    popen_kwargs = {}
+    if sys.platform == "win32":
+        # This hides the console window if pythonw.exe is used
+        startupinfo = subprocess.STARTUPINFO()
+        startupinfo.dwFlags |= subprocess.STARTF_USESHOWWINDOW
+        popen_kwargs["startupinfo"] = startupinfo
+
+    for command in commands:
+        try:
+            dispcmd = str([command] + args)
+            # remember shell=False, so use git.cmd on windows, not just git
+            process = subprocess.Popen(
+                [command] + args,
+                cwd=cwd,
+                env=env,
+                stdout=subprocess.PIPE,
+                stderr=(subprocess.PIPE if hide_stderr else None),
+                **popen_kwargs,
+            )
+            break
+        except OSError:
+            e = sys.exc_info()[1]
+            if e.errno == errno.ENOENT:
+                continue
+            if verbose:
+                print("unable to run %s" % dispcmd)
+                print(e)
+            return None, None
+    else:
+        if verbose:
+            print("unable to find command, tried %s" % (commands,))
+        return None, None
+    stdout = process.communicate()[0].strip().decode()
+    if process.returncode != 0:
+        if verbose:
+            print("unable to run %s (error)" % dispcmd)
+            print("stdout was %s" % stdout)
+        return None, process.returncode
+    return stdout, process.returncode
+
+
+def versions_from_parentdir(parentdir_prefix, root, verbose):
+    """Try to determine the version from the parent directory name.
+
+    Source tarballs conventionally unpack into a directory that includes both
+    the project name and a version string. We will also support searching up
+    two directory levels for an appropriately named parent directory
+    """
+    rootdirs = []
+
+    for _ in range(3):
+        dirname = os.path.basename(root)
+        if dirname.startswith(parentdir_prefix):
+            return {
+                "version": dirname[len(parentdir_prefix) :],
+                "full-revisionid": None,
+                "dirty": False,
+                "error": None,
+                "date": None,
+            }
+        rootdirs.append(root)
+        root = os.path.dirname(root)  # up a level
+
+    if verbose:
+        print(
+            "Tried directories %s but none started with prefix %s"
+            % (str(rootdirs), parentdir_prefix)
+        )
+    raise NotThisMethod("rootdir doesn't start with parentdir_prefix")
+
+
+@register_vcs_handler("git", "get_keywords")
+def git_get_keywords(versionfile_abs):
+    """Extract version information from the given file."""
+    # the code embedded in _version.py can just fetch the value of these
+    # keywords. When used from setup.py, we don't want to import _version.py,
+    # so we do it with a regexp instead. This function is not used from
+    # _version.py.
+    keywords = {}
+    try:
+        with open(versionfile_abs, "r") as fobj:
+            for line in fobj:
+                if line.strip().startswith("git_refnames ="):
+                    mo = re.search(r'=\s*"(.*)"', line)
+                    if mo:
+                        keywords["refnames"] = mo.group(1)
+                if line.strip().startswith("git_full ="):
+                    mo = re.search(r'=\s*"(.*)"', line)
+                    if mo:
+                        keywords["full"] = mo.group(1)
+                if line.strip().startswith("git_date ="):
+                    mo = re.search(r'=\s*"(.*)"', line)
+                    if mo:
+                        keywords["date"] = mo.group(1)
+    except OSError:
+        pass
+    return keywords
+
+
+@register_vcs_handler("git", "keywords")
+def git_versions_from_keywords(keywords, tag_prefix, verbose):
+    """Get version information from git keywords."""
+    if "refnames" not in keywords:
+        raise NotThisMethod("Short version file found")
+    date = keywords.get("date")
+    if date is not None:
+        # Use only the last line.  Previous lines may contain GPG signature
+        # information.
+        date = date.splitlines()[-1]
+
+        # git-2.2.0 added "%cI", which expands to an ISO-8601 -compliant
+        # datestamp. However we prefer "%ci" (which expands to an "ISO-8601
+        # -like" string, which we must then edit to make compliant), because
+        # it's been around since git-1.5.3, and it's too difficult to
+        # discover which version we're using, or to work around using an
+        # older one.
+        date = date.strip().replace(" ", "T", 1).replace(" ", "", 1)
+    refnames = keywords["refnames"].strip()
+    if refnames.startswith("$Format"):
+        if verbose:
+            print("keywords are unexpanded, not using")
+        raise NotThisMethod("unexpanded keywords, not a git-archive tarball")
+    refs = {r.strip() for r in refnames.strip("()").split(",")}
+    # starting in git-1.8.3, tags are listed as "tag: foo-1.0" instead of
+    # just "foo-1.0". If we see a "tag: " prefix, prefer those.
+    TAG = "tag: "
+    tags = {r[len(TAG) :] for r in refs if r.startswith(TAG)}
+    if not tags:
+        # Either we're using git < 1.8.3, or there really are no tags. We use
+        # a heuristic: assume all version tags have a digit. The old git %d
+        # expansion behaves like git log --decorate=short and strips out the
+        # refs/heads/ and refs/tags/ prefixes that would let us distinguish
+        # between branches and tags. By ignoring refnames without digits, we
+        # filter out many common branch names like "release" and
+        # "stabilization", as well as "HEAD" and "master".
+        tags = {r for r in refs if re.search(r"\d", r)}
+        if verbose:
+            print("discarding '%s', no digits" % ",".join(refs - tags))
+    if verbose:
+        print("likely tags: %s" % ",".join(sorted(tags)))
+    for ref in sorted(tags):
+        # sorting will prefer e.g. "2.0" over "2.0rc1"
+        if ref.startswith(tag_prefix):
+            r = ref[len(tag_prefix) :]
+            # Filter out refs that exactly match prefix or that don't start
+            # with a number once the prefix is stripped (mostly a concern
+            # when prefix is '')
+            if not re.match(r"\d", r):
+                continue
+            if verbose:
+                print("picking %s" % r)
+            return {
+                "version": r,
+                "full-revisionid": keywords["full"].strip(),
+                "dirty": False,
+                "error": None,
+                "date": date,
+            }
+    # no suitable tags, so version is "0+unknown", but full hex is still there
+    if verbose:
+        print("no suitable tags, using unknown + full revision id")
+    return {
+        "version": "0+unknown",
+        "full-revisionid": keywords["full"].strip(),
+        "dirty": False,
+        "error": "no suitable tags",
+        "date": None,
+    }
+
+
+@register_vcs_handler("git", "pieces_from_vcs")
+def git_pieces_from_vcs(tag_prefix, root, verbose, runner=run_command):
+    """Get version from 'git describe' in the root of the source tree.
+
+    This only gets called if the git-archive 'subst' keywords were *not*
+    expanded, and _version.py hasn't already been rewritten with a short
+    version string, meaning we're inside a checked out source tree.
+    """
+    GITS = ["git"]
+    if sys.platform == "win32":
+        GITS = ["git.cmd", "git.exe"]
+
+    # GIT_DIR can interfere with correct operation of Versioneer.
+    # It may be intended to be passed to the Versioneer-versioned project,
+    # but that should not change where we get our version from.
+    env = os.environ.copy()
+    env.pop("GIT_DIR", None)
+    runner = functools.partial(runner, env=env)
+
+    _, rc = runner(GITS, ["rev-parse", "--git-dir"], cwd=root, hide_stderr=True)
+    if rc != 0:
+        if verbose:
+            print("Directory %s not under git control" % root)
+        raise NotThisMethod("'git rev-parse --git-dir' returned error")
+
+    # if there is a tag matching tag_prefix, this yields TAG-NUM-gHEX[-dirty]
+    # if there isn't one, this yields HEX[-dirty] (no NUM)
+    describe_out, rc = runner(
+        GITS,
+        [
+            "describe",
+            "--tags",
+            "--dirty",
+            "--always",
+            "--long",
+            "--match",
+            f"{tag_prefix}[[:digit:]]*",
+        ],
+        cwd=root,
+    )
+    # --long was added in git-1.5.5
+    if describe_out is None:
+        raise NotThisMethod("'git describe' failed")
+    describe_out = describe_out.strip()
+    full_out, rc = runner(GITS, ["rev-parse", "HEAD"], cwd=root)
+    if full_out is None:
+        raise NotThisMethod("'git rev-parse' failed")
+    full_out = full_out.strip()
+
+    pieces = {}
+    pieces["long"] = full_out
+    pieces["short"] = full_out[:7]  # maybe improved later
+    pieces["error"] = None
+
+    branch_name, rc = runner(GITS, ["rev-parse", "--abbrev-ref", "HEAD"], cwd=root)
+    # --abbrev-ref was added in git-1.6.3
+    if rc != 0 or branch_name is None:
+        raise NotThisMethod("'git rev-parse --abbrev-ref' returned error")
+    branch_name = branch_name.strip()
+
+    if branch_name == "HEAD":
+        # If we aren't exactly on a branch, pick a branch which represents
+        # the current commit. If all else fails, we are on a branchless
+        # commit.
+        branches, rc = runner(GITS, ["branch", "--contains"], cwd=root)
+        # --contains was added in git-1.5.4
+        if rc != 0 or branches is None:
+            raise NotThisMethod("'git branch --contains' returned error")
+        branches = branches.split("\n")
+
+        # Remove the first line if we're running detached
+        if "(" in branches[0]:
+            branches.pop(0)
+
+        # Strip off the leading "* " from the list of branches.
+        branches = [branch[2:] for branch in branches]
+        if "master" in branches:
+            branch_name = "master"
+        elif not branches:
+            branch_name = None
+        else:
+            # Pick the first branch that is returned. Good or bad.
+            branch_name = branches[0]
+
+    pieces["branch"] = branch_name
+
+    # parse describe_out. It will be like TAG-NUM-gHEX[-dirty] or HEX[-dirty]
+    # TAG might have hyphens.
+    git_describe = describe_out
+
+    # look for -dirty suffix
+    dirty = git_describe.endswith("-dirty")
+    pieces["dirty"] = dirty
+    if dirty:
+        git_describe = git_describe[: git_describe.rindex("-dirty")]
+
+    # now we have TAG-NUM-gHEX or HEX
+
+    if "-" in git_describe:
+        # TAG-NUM-gHEX
+        mo = re.search(r"^(.+)-(\d+)-g([0-9a-f]+)$", git_describe)
+        if not mo:
+            # unparsable. Maybe git-describe is misbehaving?
+            pieces["error"] = "unable to parse git-describe output: '%s'" % describe_out
+            return pieces
+
+        # tag
+        full_tag = mo.group(1)
+        if not full_tag.startswith(tag_prefix):
+            if verbose:
+                fmt = "tag '%s' doesn't start with prefix '%s'"
+                print(fmt % (full_tag, tag_prefix))
+            pieces["error"] = "tag '%s' doesn't start with prefix '%s'" % (full_tag, tag_prefix)
+            return pieces
+        pieces["closest-tag"] = full_tag[len(tag_prefix) :]
+
+        # distance: number of commits since tag
+        pieces["distance"] = int(mo.group(2))
+
+        # commit: short hex revision ID
+        pieces["short"] = mo.group(3)
+
+    else:
+        # HEX: no tags
+        pieces["closest-tag"] = None
+        out, rc = runner(GITS, ["rev-list", "HEAD", "--left-right"], cwd=root)
+        pieces["distance"] = len(out.split())  # total number of commits
+
+    # commit date: see ISO-8601 comment in git_versions_from_keywords()
+    date = runner(GITS, ["show", "-s", "--format=%ci", "HEAD"], cwd=root)[0].strip()
+    # Use only the last line.  Previous lines may contain GPG signature
+    # information.
+    date = date.splitlines()[-1]
+    pieces["date"] = date.strip().replace(" ", "T", 1).replace(" ", "", 1)
+
+    return pieces
+
+
+def plus_or_dot(pieces):
+    """Return a + if we don't already have one, else return a ."""
+    if "+" in pieces.get("closest-tag", ""):
+        return "."
+    return "+"
+
+
+def render_pep440(pieces):
+    """Build up version string, with post-release "local version identifier".
+
+    Our goal: TAG[+DISTANCE.gHEX[.dirty]] . Note that if you
+    get a tagged build and then dirty it, you'll get TAG+0.gHEX.dirty
+
+    Exceptions:
+    1: no tags. git_describe was just HEX. 0+untagged.DISTANCE.gHEX[.dirty]
+    """
+    if pieces["closest-tag"]:
+        rendered = pieces["closest-tag"]
+        if pieces["distance"] or pieces["dirty"]:
+            rendered += plus_or_dot(pieces)
+            rendered += "%d.g%s" % (pieces["distance"], pieces["short"])
+            if pieces["dirty"]:
+                rendered += ".dirty"
+    else:
+        # exception #1
+        rendered = "0+untagged.%d.g%s" % (pieces["distance"], pieces["short"])
+        if pieces["dirty"]:
+            rendered += ".dirty"
+    return rendered
+
+
+def render_pep440_branch(pieces):
+    """TAG[[.dev0]+DISTANCE.gHEX[.dirty]] .
+
+    The ".dev0" means not master branch. Note that .dev0 sorts backwards
+    (a feature branch will appear "older" than the master branch).
+
+    Exceptions:
+    1: no tags. 0[.dev0]+untagged.DISTANCE.gHEX[.dirty]
+    """
+    if pieces["closest-tag"]:
+        rendered = pieces["closest-tag"]
+        if pieces["distance"] or pieces["dirty"]:
+            if pieces["branch"] != "master":
+                rendered += ".dev0"
+            rendered += plus_or_dot(pieces)
+            rendered += "%d.g%s" % (pieces["distance"], pieces["short"])
+            if pieces["dirty"]:
+                rendered += ".dirty"
+    else:
+        # exception #1
+        rendered = "0"
+        if pieces["branch"] != "master":
+            rendered += ".dev0"
+        rendered += "+untagged.%d.g%s" % (pieces["distance"], pieces["short"])
+        if pieces["dirty"]:
+            rendered += ".dirty"
+    return rendered
+
+
+def pep440_split_post(ver):
+    """Split pep440 version string at the post-release segment.
+
+    Returns the release segments before the post-release and the
+    post-release version number (or -1 if no post-release segment is present).
+    """
+    vc = str.split(ver, ".post")
+    return vc[0], int(vc[1] or 0) if len(vc) == 2 else None
+
+
+def render_pep440_pre(pieces):
+    """TAG[.postN.devDISTANCE] -- No -dirty.
+
+    Exceptions:
+    1: no tags. 0.post0.devDISTANCE
+    """
+    if pieces["closest-tag"]:
+        if pieces["distance"]:
+            # update the post release segment
+            tag_version, post_version = pep440_split_post(pieces["closest-tag"])
+            rendered = tag_version
+            if post_version is not None:
+                rendered += ".post%d.dev%d" % (post_version + 1, pieces["distance"])
+            else:
+                rendered += ".post0.dev%d" % (pieces["distance"])
+        else:
+            # no commits, use the tag as the version
+            rendered = pieces["closest-tag"]
+    else:
+        # exception #1
+        rendered = "0.post0.dev%d" % pieces["distance"]
+    return rendered
+
+
+def render_pep440_post(pieces):
+    """TAG[.postDISTANCE[.dev0]+gHEX] .
+
+    The ".dev0" means dirty. Note that .dev0 sorts backwards
+    (a dirty tree will appear "older" than the corresponding clean one),
+    but you shouldn't be releasing software with -dirty anyways.
+
+    Exceptions:
+    1: no tags. 0.postDISTANCE[.dev0]
+    """
+    if pieces["closest-tag"]:
+        rendered = pieces["closest-tag"]
+        if pieces["distance"] or pieces["dirty"]:
+            rendered += ".post%d" % pieces["distance"]
+            if pieces["dirty"]:
+                rendered += ".dev0"
+            rendered += plus_or_dot(pieces)
+            rendered += "g%s" % pieces["short"]
+    else:
+        # exception #1
+        rendered = "0.post%d" % pieces["distance"]
+        if pieces["dirty"]:
+            rendered += ".dev0"
+        rendered += "+g%s" % pieces["short"]
+    return rendered
+
+
+def render_pep440_post_branch(pieces):
+    """TAG[.postDISTANCE[.dev0]+gHEX[.dirty]] .
+
+    The ".dev0" means not master branch.
+
+    Exceptions:
+    1: no tags. 0.postDISTANCE[.dev0]+gHEX[.dirty]
+    """
+    if pieces["closest-tag"]:
+        rendered = pieces["closest-tag"]
+        if pieces["distance"] or pieces["dirty"]:
+            rendered += ".post%d" % pieces["distance"]
+            if pieces["branch"] != "master":
+                rendered += ".dev0"
+            rendered += plus_or_dot(pieces)
+            rendered += "g%s" % pieces["short"]
+            if pieces["dirty"]:
+                rendered += ".dirty"
+    else:
+        # exception #1
+        rendered = "0.post%d" % pieces["distance"]
+        if pieces["branch"] != "master":
+            rendered += ".dev0"
+        rendered += "+g%s" % pieces["short"]
+        if pieces["dirty"]:
+            rendered += ".dirty"
+    return rendered
+
+
+def render_pep440_old(pieces):
+    """TAG[.postDISTANCE[.dev0]] .
+
+    The ".dev0" means dirty.
+
+    Exceptions:
+    1: no tags. 0.postDISTANCE[.dev0]
+    """
+    if pieces["closest-tag"]:
+        rendered = pieces["closest-tag"]
+        if pieces["distance"] or pieces["dirty"]:
+            rendered += ".post%d" % pieces["distance"]
+            if pieces["dirty"]:
+                rendered += ".dev0"
+    else:
+        # exception #1
+        rendered = "0.post%d" % pieces["distance"]
+        if pieces["dirty"]:
+            rendered += ".dev0"
+    return rendered
+
+
+def render_git_describe(pieces):
+    """TAG[-DISTANCE-gHEX][-dirty].
+
+    Like 'git describe --tags --dirty --always'.
+
+    Exceptions:
+    1: no tags. HEX[-dirty]  (note: no 'g' prefix)
+    """
+    if pieces["closest-tag"]:
+        rendered = pieces["closest-tag"]
+        if pieces["distance"]:
+            rendered += "-%d-g%s" % (pieces["distance"], pieces["short"])
+    else:
+        # exception #1
+        rendered = pieces["short"]
+    if pieces["dirty"]:
+        rendered += "-dirty"
+    return rendered
+
+
+def render_git_describe_long(pieces):
+    """TAG-DISTANCE-gHEX[-dirty].
+
+    Like 'git describe --tags --dirty --always -long'.
+    The distance/hash is unconditional.
+
+    Exceptions:
+    1: no tags. HEX[-dirty]  (note: no 'g' prefix)
+    """
+    if pieces["closest-tag"]:
+        rendered = pieces["closest-tag"]
+        rendered += "-%d-g%s" % (pieces["distance"], pieces["short"])
+    else:
+        # exception #1
+        rendered = pieces["short"]
+    if pieces["dirty"]:
+        rendered += "-dirty"
+    return rendered
+
+
+def render(pieces, style):
+    """Render the given version pieces into the requested style."""
+    if pieces["error"]:
+        return {
+            "version": "unknown",
+            "full-revisionid": pieces.get("long"),
+            "dirty": None,
+            "error": pieces["error"],
+            "date": None,
+        }
+
+    if not style or style == "default":
+        style = "pep440"  # the default
+
+    if style == "pep440":
+        rendered = render_pep440(pieces)
+    elif style == "pep440-branch":
+        rendered = render_pep440_branch(pieces)
+    elif style == "pep440-pre":
+        rendered = render_pep440_pre(pieces)
+    elif style == "pep440-post":
+        rendered = render_pep440_post(pieces)
+    elif style == "pep440-post-branch":
+        rendered = render_pep440_post_branch(pieces)
+    elif style == "pep440-old":
+        rendered = render_pep440_old(pieces)
+    elif style == "git-describe":
+        rendered = render_git_describe(pieces)
+    elif style == "git-describe-long":
+        rendered = render_git_describe_long(pieces)
+    else:
+        raise ValueError("unknown style '%s'" % style)
+
+    return {
+        "version": rendered,
+        "full-revisionid": pieces["long"],
+        "dirty": pieces["dirty"],
+        "error": None,
+        "date": pieces.get("date"),
+    }
+
+
+def get_versions():
+    """Get version information or return default if unable to do so."""
+    # I am in _version.py, which lives at ROOT/VERSIONFILE_SOURCE. If we have
+    # __file__, we can work backwards from there to the root. Some
+    # py2exe/bbfreeze/non-CPython implementations don't do __file__, in which
+    # case we can only use expanded keywords.
+
+    cfg = get_config()
+    verbose = cfg.verbose
+
+    try:
+        return git_versions_from_keywords(get_keywords(), cfg.tag_prefix, verbose)
+    except NotThisMethod:
+        pass
+
+    try:
+        root = os.path.realpath(__file__)
+        # versionfile_source is the relative path from the top of the source
+        # tree (where the .git directory might live) to this file. Invert
+        # this to find the root from __file__.
+        for _ in cfg.versionfile_source.split("/"):
+            root = os.path.dirname(root)
+    except NameError:
+        return {
+            "version": "0+unknown",
+            "full-revisionid": None,
+            "dirty": None,
+            "error": "unable to find root of source tree",
+            "date": None,
+        }
+
+    try:
+        pieces = git_pieces_from_vcs(cfg.tag_prefix, root, verbose)
+        return render(pieces, cfg.style)
+    except NotThisMethod:
+        pass
+
+    try:
+        if cfg.parentdir_prefix:
+            return versions_from_parentdir(cfg.parentdir_prefix, root, verbose)
+    except NotThisMethod:
+        pass
+
+    return {
+        "version": "0+unknown",
+        "full-revisionid": None,
+        "dirty": None,
+        "error": "unable to compute version",
+        "date": None,
+    }
diff --git a/spz_python/spz/sparsetype.py b/spz_python/spz/sparsetype.py
new file mode 100644
index 0000000..ebc655e
--- /dev/null
+++ b/spz_python/spz/sparsetype.py
@@ -0,0 +1,75 @@
+class StructureType:
+    def __repr__(self):
+        return self.name
+
+    def __eq__(self, other):
+        return self.name == to_type(other).name
+
+    def __hash__(self):
+        return hash(self.name)
+
+    def __reduce__(self):
+        return self.name
+
+
+# Singletons
+class sparse(StructureType):
+    name = "sparse"
+    abbreviation = "S"
+
+
+class compressed(StructureType):
+    name = "compressed"
+    abbreviation = "C"
+
+
+class doubly_compressed(StructureType):
+    name = "doubly_compressed"
+    abbreviation = "DC"
+
+
+S = sparse = sparse()
+C = compressed = compressed()
+DC = doubly_compressed = doubly_compressed()
+
+_STR_TO_TYPE = {
+    "s": S,
+    "sparse": S,
+    "singleton": S,
+    "c": C,
+    "compressed": C,
+    "dc": DC,
+    "d": DC,
+    "doubly_compressed": DC,
+    "doubly compressed": DC,
+    "doublycompressed": DC,
+}
+
+
+def to_type(x):
+    """Convert a string to a StructureType"""
+    if isinstance(x, StructureType):
+        return x
+    return _STR_TO_TYPE[x.lower()]
+
+
+def to_str(x):
+    return to_type(x).name
+
+
+def abbreviate(*types):
+    if len(types) == 1 and not isinstance(types[0], (StructureType, str)):
+        types = types[0]
+    abbvs = [to_type(x).abbreviation for x in types]
+    sep = "-" if "DC" in abbvs else ""
+    return sep.join(abbvs)
+
+
+def unabbreviate(abbr):
+    rv = []
+    for sub in abbr.replace("D-", "DC-").replace("-", "").split("DC"):
+        for c in sub:
+            rv.append(to_type(c))
+        rv.append(DC)
+    rv.pop()  # One extra DC
+    return rv
diff --git a/spz_python/spz/tests/__init__.py b/spz_python/spz/tests/__init__.py
new file mode 100644
index 0000000..e69de29
diff --git a/spz_python/spz/tests/conftest.py b/spz_python/spz/tests/conftest.py
new file mode 100644
index 0000000..2d716ad
--- /dev/null
+++ b/spz_python/spz/tests/conftest.py
@@ -0,0 +1,18 @@
+import pytest
+
+
+@pytest.fixture(scope="session", autouse=True)
+def ic():
+    """Make `ic` available everywhere for easier debugging"""
+    try:
+        import icecream
+    except ImportError:
+        return
+    icecream.install()
+    # icecream.ic.disable()  # do ic.enable() to re-enable
+    return icecream.ic
+
+
+def pytest_runtest_setup(item):
+    if "slow" in item.keywords and not item.config.getoption("--runslow"):
+        pytest.skip("need --runslow option to run")
diff --git a/spz_python/spz/tests/test_sparsetype.py b/spz_python/spz/tests/test_sparsetype.py
new file mode 100644
index 0000000..50324d7
--- /dev/null
+++ b/spz_python/spz/tests/test_sparsetype.py
@@ -0,0 +1,16 @@
+from spz.sparsetype import DC, C, S, abbreviate, unabbreviate
+
+
+def test_abbreviate():
+    expected = "S-C-S-DC-C-S"
+    assert abbreviate([S, C, S, DC, C, S]) == expected
+    assert abbreviate(S, C, S, DC, C, S) == expected
+    assert abbreviate("S", "C", "S", "DC", "C", "S") == expected
+    assert abbreviate(["S", "c", "Sparse", "D", "compressed", "sparse"]) == expected
+
+
+def test_unabbreviate():
+    expected = [S, C, S, DC, C, S]
+    assert unabbreviate("S-C-S-DC-C-S") == expected
+    assert unabbreviate("SCSDCCS") == expected
+    assert unabbreviate("SC-S-D-C-S") == expected
diff --git a/spz_python/spz/tests/test_spz.py b/spz_python/spz/tests/test_spz.py
new file mode 100644
index 0000000..b6dfd63
--- /dev/null
+++ b/spz_python/spz/tests/test_spz.py
@@ -0,0 +1,135 @@
+import itertools
+import random
+
+import numpy as np
+import pandas as pd
+import pytest
+
+from spz import SPZ
+
+
+@pytest.fixture
+def indices1():
+    return [
+        [0, 0, 0, 0, 0, 1, 1, 1],
+        [0, 0, 1, 1, 1, 1, 1, 1],
+        [0, 0, 0, 0, 1, 1, 1, 1],
+        [1, 2, 0, 2, 0, 0, 1, 2],
+    ]
+
+
+@pytest.mark.parametrize("shape", [[2, 2, 2, 3], [5, 6, 7, 8], [8, 7, 6, 5]])
+def test_indices1(indices1, shape):
+    df = pd.DataFrame(indices1).T.sort_values([0, 1, 2, 3])
+    sparsities = ["S", "C", "DC"]
+    for sparsity in itertools.product(sparsities, sparsities, sparsities):
+        structure = "".join(sparsity) + "S"
+        spz = SPZ(indices1, shape, structure)
+        spz._validate()
+        # spz._repr_svg_()
+        df2 = pd.DataFrame(spz.arrays).T
+        pd.testing.assert_frame_equal(df, df2)
+
+
+def test_rank1():
+    for size in range(1, 4):
+        for num in range(1, size + 1):
+            for array in itertools.combinations(range(size), num):
+                array = np.array(array)
+                spz = SPZ([array], (size,), "S")
+                spz._validate()
+                # spz._repr_svg_()
+                [index] = spz.arrays
+                assert np.array_equal(array, index)
+
+
+@pytest.mark.slow
+def test_rank2():
+    for nrows in range(1, 4):
+        for ncols in range(1, 4):
+            size = nrows * ncols
+            for num in range(1, size + 1):
+                for array in itertools.combinations(range(size), num):
+                    array = np.array(array)
+                    x = array // ncols
+                    y = array % ncols
+                    for sparsity in ["S", "C", "DC"]:
+                        spz = SPZ([x, y], (nrows, ncols), sparsity + "S")
+                        spz._validate()
+                        # spz._repr_svg_()
+                        rows, cols = spz.arrays
+                        assert np.array_equal(x, rows)
+                        assert np.array_equal(y, cols)
+
+
+@pytest.mark.slow
+def test_rank3():
+    for nx in range(1, 3):
+        for ny in range(1, 3):
+            for nz in range(1, 3):
+                size = nx * ny * nz
+                for num in range(1, size + 1):
+                    for array in itertools.combinations(range(size), num):
+                        array = np.array(array)
+                        x = array // (ny * nz)
+                        y = array // nz % ny
+                        z = array % nz
+                        for sparsity in itertools.product(["S", "C", "DC"], ["S", "C", "DC"]):
+                            if random.random() < 2 / 3:
+                                # Randomly skip two thirds of cases to speed up testing
+                                continue
+                            structure = "".join(sparsity) + "S"
+                            spz = SPZ([x, y, z], (nx, ny, nz), structure)
+                            spz._validate()
+                            # spz._repr_svg_()
+                            x2, y2, z2 = spz.arrays
+                            assert np.array_equal(x, x2)
+                            assert np.array_equal(y, y2)
+                            assert np.array_equal(z, z2)
+
+
+@pytest.mark.slow
+@pytest.mark.parametrize("N", range(1, 7))
+def test_rankN(N):
+    sparsities = [["S", "C", "DC"]] * (N - 1)
+    for sparsity in itertools.product(*sparsities):
+        structure = "".join(sparsity) + "S"
+        # For each structure, randomly choose each dimension to be size 1, 2, 3, or 4
+        shape = tuple(random.randint(1, 4) for _ in range(N))
+        size = np.multiply.reduce(shape)
+        # Randomly choose the number of elements
+        num = random.randint(1, size)
+        # Randomly add indices for the elements
+        flat_idx = set()
+        while len(flat_idx) < num:
+            flat_idx.add(random.randrange(size))
+        array = np.array(sorted(flat_idx))
+        if N == 1:
+            indices = []
+        else:
+            indices = [array // int(np.multiply.reduce(shape[1:]))]
+        for i in range(1, N - 1):
+            indices.append(array // np.multiply.reduce(shape[i + 1 :]) % shape[i])
+        indices.append(array % shape[-1])
+        try:
+            spz = SPZ(indices, shape, structure)
+        except Exception:  # pragma: no cover
+            print("N:", N)
+            print("array:", array)
+            print("structure:", structure)
+            print("shape:", shape)
+            print("indices:", indices)
+            raise
+        try:
+            spz._validate()
+        except Exception:  # pragma: no cover
+            print("structure:", spz.structure)
+            print("shape:", spz.shape)
+            print("indices:", spz._indices)
+            print("pointers:", spz._pointers)
+            print(spz)
+            raise
+        # spz._repr_svg_()
+        arrays = spz.arrays
+        for index, arr in zip(indices, arrays):
+            assert np.array_equal(index, arr)
diff --git a/spz_python/versioneer.py b/spz_python/versioneer.py
new file mode 100644
index 0000000..8db5abd
--- /dev/null
+++ b/spz_python/versioneer.py
@@ -0,0 +1,2193 @@
+# Version: 0.23
+
+"""The Versioneer - like a rocketeer, but for versions.
+
+The Versioneer
+==============
+
+* like a rocketeer, but for versions!
+* https://github.com/python-versioneer/python-versioneer
+* Brian Warner
+* License: Public Domain (CC0-1.0)
+* Compatible with: Python 3.7, 3.8, 3.9, 3.10 and pypy3
+* [![Latest Version][pypi-image]][pypi-url]
+* [![Build Status][travis-image]][travis-url]
+
+This is a tool for managing a recorded version number in distutils/setuptools-based
+python projects. The goal is to remove the tedious and error-prone "update
+the embedded version string" step from your release process. Making a new
+release should be as easy as recording a new tag in your version-control
+system, and maybe making new tarballs.
+
+
+## Quick Install
+
+* `pip install versioneer` to somewhere in your $PATH
+* add a `[versioneer]` section to your setup.cfg (see [Install](INSTALL.md))
+* run `versioneer install` in your source tree, commit the results
+* Verify version information with `python setup.py version`
+
+## Version Identifiers
+
+Source trees come from a variety of places:
+
+* a version-control system checkout (mostly used by developers)
+* a nightly tarball, produced by build automation
+* a snapshot tarball, produced by a web-based VCS browser, like github's
+  "tarball from tag" feature
+* a release tarball, produced by "setup.py sdist", distributed through PyPI
+
+Within each source tree, the version identifier (either a string or a number,
+this tool is format-agnostic) can come from a variety of places:
+
+* ask the VCS tool itself, e.g. "git describe" (for checkouts), which knows
+  about recent "tags" and an absolute revision-id
+* the name of the directory into which the tarball was unpacked
+* an expanded VCS keyword ($Id$, etc)
+* a `_version.py` created by some earlier build step
+
+For released software, the version identifier is closely related to a VCS
+tag. Some projects use tag names that include more than just the version
+string (e.g. "myproject-1.2" instead of just "1.2"), in which case the tool
+needs to strip the tag prefix to extract the version identifier. For
+unreleased software (between tags), the version identifier should provide
+enough information to help developers recreate the same tree, while also
+giving them an idea of roughly how old the tree is (after version 1.2, before
+version 1.3). Many VCS systems can report a description that captures this,
+for example `git describe --tags --dirty --always` reports things like
+"0.7-1-g574ab98-dirty" to indicate that the checkout is one revision past the
+0.7 tag, has a unique revision id of "574ab98", and is "dirty" (it has
+uncommitted changes).
+
+The version identifier is used for multiple purposes:
+
+* to allow the module to self-identify its version: `myproject.__version__`
+* to choose a name and prefix for a 'setup.py sdist' tarball
+
+## Theory of Operation
+
+Versioneer works by adding a special `_version.py` file into your source
+tree, where your `__init__.py` can import it. This `_version.py` knows how to
+dynamically ask the VCS tool for version information at import time.
+
+`_version.py` also contains `$Revision$` markers, and the installation
+process marks `_version.py` to have this marker rewritten with a tag name
+during the `git archive` command. As a result, generated tarballs will
+contain enough information to get the proper version.
+
+To allow `setup.py` to compute a version too, a `versioneer.py` is added to
+the top level of your source tree, next to `setup.py` and the `setup.cfg`
+that configures it. This overrides several distutils/setuptools commands to
+compute the version when invoked, and changes `setup.py build` and `setup.py
+sdist` to replace `_version.py` with a small static file that contains just
+the generated version data.
+
+## Installation
+
+See [INSTALL.md](./INSTALL.md) for detailed installation instructions.
+
+## Version-String Flavors
+
+Code which uses Versioneer can learn about its version string at runtime by
+importing `_version` from your main `__init__.py` file and running the
+`get_versions()` function. From the "outside" (e.g. in `setup.py`), you can
+import the top-level `versioneer.py` and run `get_versions()`.
+
+Both functions return a dictionary with different flavors of version
+information:
+
+* `['version']`: A condensed version string, rendered using the selected
+  style. This is the most commonly used value for the project's version
+  string. The default "pep440" style yields strings like `0.11`,
+  `0.11+2.g1076c97`, or `0.11+2.g1076c97.dirty`. See the "Styles" section
+  below for alternative styles.
+
+* `['full-revisionid']`: detailed revision identifier. For Git, this is the
+  full SHA1 commit id, e.g. "1076c978a8d3cfc70f408fe5974aa6c092c949ac".
+
+* `['date']`: Date and time of the latest `HEAD` commit. For Git, it is the
+  commit date in ISO 8601 format. This will be None if the date is not
+  available.
+
+* `['dirty']`: a boolean, True if the tree has uncommitted changes. Note that
+  this is only accurate if run in a VCS checkout, otherwise it is likely to
+  be False or None
+
+* `['error']`: if the version string could not be computed, this will be set
+  to a string describing the problem, otherwise it will be None. It may be
+  useful to throw an exception in setup.py if this is set, to avoid e.g.
+  creating tarballs with a version string of "unknown".
+
+Some variants are more useful than others. Including `full-revisionid` in a
+bug report should allow developers to reconstruct the exact code being tested
+(or indicate the presence of local changes that should be shared with the
+developers). `version` is suitable for display in an "about" box or a CLI
+`--version` output: it can be easily compared against release notes and lists
+of bugs fixed in various releases.
+
+The installer adds the following text to your `__init__.py` to place a basic
+version in `YOURPROJECT.__version__`:
+
+    from ._version import get_versions
+    __version__ = get_versions()['version']
+    del get_versions
+
+## Styles
+
+The setup.cfg `style=` configuration controls how the VCS information is
+rendered into a version string.
+
+The default style, "pep440", produces a PEP440-compliant string, equal to the
+un-prefixed tag name for actual releases, and containing an additional "local
+version" section with more detail for in-between builds. For Git, this is
+TAG[+DISTANCE.gHEX[.dirty]] , using information from `git describe --tags
+--dirty --always`. For example "0.11+2.g1076c97.dirty" indicates that the
+tree is like the "1076c97" commit but has uncommitted changes (".dirty"), and
+that this commit is two revisions ("+2") beyond the "0.11" tag. For released
+software (exactly equal to a known tag), the identifier will only contain the
+stripped tag, e.g. "0.11".
+
+Other styles are available. See [details.md](details.md) in the Versioneer
+source tree for descriptions.
+
+## Debugging
+
+Versioneer tries to avoid fatal errors: if something goes wrong, it will tend
+to return a version of "0+unknown". To investigate the problem, run `setup.py
+version`, which will run the version-lookup code in a verbose mode, and will
+display the full contents of `get_versions()` (including the `error` string,
+which may help identify what went wrong).
+
+## Known Limitations
+
+Some situations are known to cause problems for Versioneer. This details the
+most significant ones. More can be found on Github
+[issues page](https://github.com/python-versioneer/python-versioneer/issues).
+
+### Subprojects
+
+Versioneer has limited support for source trees in which `setup.py` is not in
+the root directory (e.g. `setup.py` and `.git/` are *not* siblings). The are
+two common reasons why `setup.py` might not be in the root:
+
+* Source trees which contain multiple subprojects, such as
+  [Buildbot](https://github.com/buildbot/buildbot), which contains both
+  "master" and "slave" subprojects, each with their own `setup.py`,
+  `setup.cfg`, and `tox.ini`. Projects like these produce multiple PyPI
+  distributions (and upload multiple independently-installable tarballs).
+* Source trees whose main purpose is to contain a C library, but which also
+  provide bindings to Python (and perhaps other languages) in subdirectories.
+
+Versioneer will look for `.git` in parent directories, and most operations
+should get the right version string. However `pip` and `setuptools` have bugs
+and implementation details which frequently cause `pip install .` from a
+subproject directory to fail to find a correct version string (so it usually
+defaults to `0+unknown`).
+
+`pip install --editable .` should work correctly. `setup.py install` might
+work too.
+
+Pip-8.1.1 is known to have this problem, but hopefully it will get fixed in
+some later version.
+
+[Bug #38](https://github.com/python-versioneer/python-versioneer/issues/38) is tracking
+this issue. The discussion in
+[PR #61](https://github.com/python-versioneer/python-versioneer/pull/61) describes the
+issue from the Versioneer side in more detail.
+[pip PR#3176](https://github.com/pypa/pip/pull/3176) and
+[pip PR#3615](https://github.com/pypa/pip/pull/3615) contain work to improve
+pip to let Versioneer work correctly.
+
+Versioneer-0.16 and earlier only looked for a `.git` directory next to the
+`setup.cfg`, so subprojects were completely unsupported with those releases.
+
+### Editable installs with setuptools <= 18.5
+
+`setup.py develop` and `pip install --editable .` allow you to install a
+project into a virtualenv once, then continue editing the source code (and
+test) without re-installing after every change.
+
+"Entry-point scripts" (`setup(entry_points={"console_scripts": ..})`) are a
+convenient way to specify executable scripts that should be installed along
+with the python package.
+
+These both work as expected when using modern setuptools. When using
+setuptools-18.5 or earlier, however, certain operations will cause
+`pkg_resources.DistributionNotFound` errors when running the entrypoint
+script, which must be resolved by re-installing the package. This happens
+when the install happens with one version, then the egg_info data is
+regenerated while a different version is checked out. Many setup.py commands
+cause egg_info to be rebuilt (including `sdist`, `wheel`, and installing into
+a different virtualenv), so this can be surprising.
+
+[Bug #83](https://github.com/python-versioneer/python-versioneer/issues/83) describes
+this one, but upgrading to a newer version of setuptools should probably
+resolve it.
+
+
+## Updating Versioneer
+
+To upgrade your project to a new release of Versioneer, do the following:
+
+* install the new Versioneer (`pip install -U versioneer` or equivalent)
+* edit `setup.cfg`, if necessary, to include any new configuration settings
+  indicated by the release notes. See [UPGRADING](./UPGRADING.md) for details.
+* re-run `versioneer install` in your source tree, to replace
+  `SRC/_version.py`
+* commit any changed files
+
+## Future Directions
+
+This tool is designed to make it easily extended to other version-control
+systems: all VCS-specific components are in separate directories like
+src/git/ . The top-level `versioneer.py` script is assembled from these
+components by running make-versioneer.py . In the future, make-versioneer.py
+will take a VCS name as an argument, and will construct a version of
+`versioneer.py` that is specific to the given VCS. It might also take the
+configuration arguments that are currently provided manually during
+installation by editing setup.py . Alternatively, it might go the other
+direction and include code from all supported VCS systems, reducing the
+number of intermediate scripts.
+
+## Similar projects
+
+* [setuptools_scm](https://github.com/pypa/setuptools_scm/) - a non-vendored build-time
+  dependency
+* [minver](https://github.com/jbweston/miniver) - a lightweight reimplementation of
+  versioneer
+* [versioningit](https://github.com/jwodder/versioningit) - a PEP 518-based setuptools
+  plugin
+
+## License
+
+To make Versioneer easier to embed, all its code is dedicated to the public
+domain. The `_version.py` that it creates is also in the public domain.
+Specifically, both are released under the Creative Commons "Public Domain
+Dedication" license (CC0-1.0), as described in
+https://creativecommons.org/publicdomain/zero/1.0/ .
+
+[pypi-image]: https://img.shields.io/pypi/v/versioneer.svg
+[pypi-url]: https://pypi.python.org/pypi/versioneer/
+[travis-image]:
+https://img.shields.io/travis/com/python-versioneer/python-versioneer.svg
+[travis-url]: https://travis-ci.com/github/python-versioneer/python-versioneer
+
+"""
+# pylint:disable=invalid-name,import-outside-toplevel,missing-function-docstring
+# pylint:disable=missing-class-docstring,too-many-branches,too-many-statements
+# pylint:disable=raise-missing-from,too-many-lines,too-many-locals,import-error
+# pylint:disable=too-few-public-methods,redefined-outer-name,consider-using-with
+# pylint:disable=attribute-defined-outside-init,too-many-arguments
+
+import configparser
+import errno
+import functools
+import json
+import os
+import re
+import subprocess
+import sys
+from typing import Callable, Dict
+
+
+class VersioneerConfig:
+    """Container for Versioneer configuration parameters."""
+
+
+def get_root():
+    """Get the project root directory.
+
+    We require that all commands are run from the project root, i.e. the
+    directory that contains setup.py, setup.cfg, and versioneer.py .
+    """
+    root = os.path.realpath(os.path.abspath(os.getcwd()))
+    setup_py = os.path.join(root, "setup.py")
+    versioneer_py = os.path.join(root, "versioneer.py")
+    if not (os.path.exists(setup_py) or os.path.exists(versioneer_py)):
+        # allow 'python path/to/setup.py COMMAND'
+        root = os.path.dirname(os.path.realpath(os.path.abspath(sys.argv[0])))
+        setup_py = os.path.join(root, "setup.py")
+        versioneer_py = os.path.join(root, "versioneer.py")
+    if not (os.path.exists(setup_py) or os.path.exists(versioneer_py)):
+        err = (
+            "Versioneer was unable to run the project root directory. "
+            "Versioneer requires setup.py to be executed from "
+            "its immediate directory (like 'python setup.py COMMAND'), "
+            "or in a way that lets it use sys.argv[0] to find the root "
+            "(like 'python path/to/setup.py COMMAND')."
+        )
+        raise VersioneerBadRootError(err)
+    try:
+        # Certain runtime workflows (setup.py install/develop in a setuptools
+        # tree) execute all dependencies in a single python process, so
+        # "versioneer" may be imported multiple times, and python's shared
+        # module-import table will cache the first one. So we can't use
+        # os.path.dirname(__file__), as that will find whichever
+        # versioneer.py was first imported, even in later projects.
+        my_path = os.path.realpath(os.path.abspath(__file__))
+        me_dir = os.path.normcase(os.path.splitext(my_path)[0])
+        vsr_dir = os.path.normcase(os.path.splitext(versioneer_py)[0])
+        if me_dir != vsr_dir:
+            print(
+                "Warning: build in %s is using versioneer.py from %s"
+                % (os.path.dirname(my_path), versioneer_py)
+            )
+    except NameError:
+        pass
+    return root
+
+
+def get_config_from_root(root):
+    """Read the project setup.cfg file to determine Versioneer config."""
+    # This might raise OSError (if setup.cfg is missing), or
+    # configparser.NoSectionError (if it lacks a [versioneer] section), or
+    # configparser.NoOptionError (if it lacks "VCS="). See the docstring at
+    # the top of versioneer.py for instructions on writing your setup.cfg .
+    setup_cfg = os.path.join(root, "setup.cfg")
+    parser = configparser.ConfigParser()
+    with open(setup_cfg, "r") as cfg_file:
+        parser.read_file(cfg_file)
+    VCS = parser.get("versioneer", "VCS")  # mandatory
+
+    # Dict-like interface for non-mandatory entries
+    section = parser["versioneer"]
+
+    cfg = VersioneerConfig()
+    cfg.VCS = VCS
+    cfg.style = section.get("style", "")
+    cfg.versionfile_source = section.get("versionfile_source")
+    cfg.versionfile_build = section.get("versionfile_build")
+    cfg.tag_prefix = section.get("tag_prefix")
+    if cfg.tag_prefix in ("''", '""', None):
+        cfg.tag_prefix = ""
+    cfg.parentdir_prefix = section.get("parentdir_prefix")
+    cfg.verbose = section.get("verbose")
+    return cfg
+
+
+class NotThisMethod(Exception):
+    """Exception raised if a method is not valid for the current scenario."""
+
+
+# these dictionaries contain VCS-specific tools
+LONG_VERSION_PY: Dict[str, str] = {}
+HANDLERS: Dict[str, Dict[str, Callable]] = {}
+
+
+def register_vcs_handler(vcs, method):  # decorator
+    """Create decorator to mark a method as the handler of a VCS."""
+
+    def decorate(f):
+        """Store f in HANDLERS[vcs][method]."""
+        HANDLERS.setdefault(vcs, {})[method] = f
+        return f
+
+    return decorate
+
+
+def run_command(commands, args, cwd=None, verbose=False, hide_stderr=False, env=None):
+    """Call the given command(s)."""
+    assert isinstance(commands, list)
+    process = None
+
+    popen_kwargs = {}
+    if sys.platform == "win32":
+        # This hides the console window if pythonw.exe is used
+        startupinfo = subprocess.STARTUPINFO()
+        startupinfo.dwFlags |= subprocess.STARTF_USESHOWWINDOW
+        popen_kwargs["startupinfo"] = startupinfo
+
+    for command in commands:
+        try:
+            dispcmd = str([command] + args)
+            # remember shell=False, so use git.cmd on windows, not just git
+            process = subprocess.Popen(
+                [command] + args,
+                cwd=cwd,
+                env=env,
+                stdout=subprocess.PIPE,
+                stderr=(subprocess.PIPE if hide_stderr else None),
+                **popen_kwargs,
+            )
+            break
+        except OSError:
+            e = sys.exc_info()[1]
+            if e.errno == errno.ENOENT:
+                continue
+            if verbose:
+                print("unable to run %s" % dispcmd)
+                print(e)
+            return None, None
+    else:
+        if verbose:
+            print("unable to find command, tried %s" % (commands,))
+        return None, None
+    stdout = process.communicate()[0].strip().decode()
+    if process.returncode != 0:
+        if verbose:
+            print("unable to run %s (error)" % dispcmd)
+            print("stdout was %s" % stdout)
+        return None, process.returncode
+    return stdout, process.returncode
+
+
+LONG_VERSION_PY[
+    "git"
+] = r'''
+# This file helps to compute a version number in source trees obtained from
+# git-archive tarball (such as those provided by githubs download-from-tag
+# feature). Distribution tarballs (built by setup.py sdist) and build
+# directories (produced by setup.py build) will contain a much shorter file
+# that just contains the computed version number.
+
+# This file is released into the public domain. Generated by
+# versioneer-0.23 (https://github.com/python-versioneer/python-versioneer)
+
+"""Git implementation of _version.py."""
+
+import errno
+import os
+import re
+import subprocess
+import sys
+from typing import Callable, Dict
+import functools
+
+
+def get_keywords():
+    """Get the keywords needed to look up the version information."""
+    # these strings will be replaced by git during git-archive.
+    # setup.py/versioneer.py will grep for the variable names, so they must
+    # each be defined on a line of their own. _version.py will just call
+    # get_keywords().
+    git_refnames = "%(DOLLAR)sFormat:%%d%(DOLLAR)s"
+    git_full = "%(DOLLAR)sFormat:%%H%(DOLLAR)s"
+    git_date = "%(DOLLAR)sFormat:%%ci%(DOLLAR)s"
+    keywords = {"refnames": git_refnames, "full": git_full, "date": git_date}
+    return keywords
+
+
+class VersioneerConfig:
+    """Container for Versioneer configuration parameters."""
+
+
+def get_config():
+    """Create, populate and return the VersioneerConfig() object."""
+    # these strings are filled in when 'setup.py versioneer' creates
+    # _version.py
+    cfg = VersioneerConfig()
+    cfg.VCS = "git"
+    cfg.style = "%(STYLE)s"
+    cfg.tag_prefix = "%(TAG_PREFIX)s"
+    cfg.parentdir_prefix = "%(PARENTDIR_PREFIX)s"
+    cfg.versionfile_source = "%(VERSIONFILE_SOURCE)s"
+    cfg.verbose = False
+    return cfg
+
+
+class NotThisMethod(Exception):
+    """Exception raised if a method is not valid for the current scenario."""
+
+
+LONG_VERSION_PY: Dict[str, str] = {}
+HANDLERS: Dict[str, Dict[str, Callable]] = {}
+
+
+def register_vcs_handler(vcs, method):  # decorator
+    """Create decorator to mark a method as the handler of a VCS."""
+    def decorate(f):
+        """Store f in HANDLERS[vcs][method]."""
+        if vcs not in HANDLERS:
+            HANDLERS[vcs] = {}
+        HANDLERS[vcs][method] = f
+        return f
+    return decorate
+
+
+def run_command(commands, args, cwd=None, verbose=False, hide_stderr=False,
+                env=None):
+    """Call the given command(s)."""
+    assert isinstance(commands, list)
+    process = None
+
+    popen_kwargs = {}
+    if sys.platform == "win32":
+        # This hides the console window if pythonw.exe is used
+        startupinfo = subprocess.STARTUPINFO()
+        startupinfo.dwFlags |= subprocess.STARTF_USESHOWWINDOW
+        popen_kwargs["startupinfo"] = startupinfo
+
+    for command in commands:
+        try:
+            dispcmd = str([command] + args)
+            # remember shell=False, so use git.cmd on windows, not just git
+            process = subprocess.Popen([command] + args, cwd=cwd, env=env,
+                                       stdout=subprocess.PIPE,
+                                       stderr=(subprocess.PIPE if hide_stderr
+                                               else None), **popen_kwargs)
+            break
+        except OSError:
+            e = sys.exc_info()[1]
+            if e.errno == errno.ENOENT:
+                continue
+            if verbose:
+                print("unable to run %%s" %% dispcmd)
+                print(e)
+            return None, None
+    else:
+        if verbose:
+            print("unable to find command, tried %%s" %% (commands,))
+        return None, None
+    stdout = process.communicate()[0].strip().decode()
+    if process.returncode != 0:
+        if verbose:
+            print("unable to run %%s (error)" %% dispcmd)
+            print("stdout was %%s" %% stdout)
+        return None, process.returncode
+    return stdout, process.returncode
+
+
+def versions_from_parentdir(parentdir_prefix, root, verbose):
+    """Try to determine the version from the parent directory name.
+
+    Source tarballs conventionally unpack into a directory that includes both
+    the project name and a version string. We will also support searching up
+    two directory levels for an appropriately named parent directory
+    """
+    rootdirs = []
+
+    for _ in range(3):
+        dirname = os.path.basename(root)
+        if dirname.startswith(parentdir_prefix):
+            return {"version": dirname[len(parentdir_prefix):],
+                    "full-revisionid": None,
+                    "dirty": False, "error": None, "date": None}
+        rootdirs.append(root)
+        root = os.path.dirname(root)  # up a level
+
+    if verbose:
+        print("Tried directories %%s but none started with prefix %%s" %%
+              (str(rootdirs), parentdir_prefix))
+    raise NotThisMethod("rootdir doesn't start with parentdir_prefix")
+
+
+@register_vcs_handler("git", "get_keywords")
+def git_get_keywords(versionfile_abs):
+    """Extract version information from the given file."""
+    # the code embedded in _version.py can just fetch the value of these
+    # keywords. When used from setup.py, we don't want to import _version.py,
+    # so we do it with a regexp instead. This function is not used from
+    # _version.py.
+    keywords = {}
+    try:
+        with open(versionfile_abs, "r") as fobj:
+            for line in fobj:
+                if line.strip().startswith("git_refnames ="):
+                    mo = re.search(r'=\s*"(.*)"', line)
+                    if mo:
+                        keywords["refnames"] = mo.group(1)
+                if line.strip().startswith("git_full ="):
+                    mo = re.search(r'=\s*"(.*)"', line)
+                    if mo:
+                        keywords["full"] = mo.group(1)
+                if line.strip().startswith("git_date ="):
+                    mo = re.search(r'=\s*"(.*)"', line)
+                    if mo:
+                        keywords["date"] = mo.group(1)
+    except OSError:
+        pass
+    return keywords
+
+
+@register_vcs_handler("git", "keywords")
+def git_versions_from_keywords(keywords, tag_prefix, verbose):
+    """Get version information from git keywords."""
+    if "refnames" not in keywords:
+        raise NotThisMethod("Short version file found")
+    date = keywords.get("date")
+    if date is not None:
+        # Use only the last line.  Previous lines may contain GPG signature
+        # information.
+        date = date.splitlines()[-1]
+
+        # git-2.2.0 added "%%cI", which expands to an ISO-8601 -compliant
+        # datestamp. However we prefer "%%ci" (which expands to an "ISO-8601
+        # -like" string, which we must then edit to make compliant), because
+        # it's been around since git-1.5.3, and it's too difficult to
+        # discover which version we're using, or to work around using an
+        # older one.
+        date = date.strip().replace(" ", "T", 1).replace(" ", "", 1)
+    refnames = keywords["refnames"].strip()
+    if refnames.startswith("$Format"):
+        if verbose:
+            print("keywords are unexpanded, not using")
+        raise NotThisMethod("unexpanded keywords, not a git-archive tarball")
+    refs = {r.strip() for r in refnames.strip("()").split(",")}
+    # starting in git-1.8.3, tags are listed as "tag: foo-1.0" instead of
+    # just "foo-1.0". If we see a "tag: " prefix, prefer those.
+    TAG = "tag: "
+    tags = {r[len(TAG):] for r in refs if r.startswith(TAG)}
+    if not tags:
+        # Either we're using git < 1.8.3, or there really are no tags. We use
+        # a heuristic: assume all version tags have a digit. The old git %%d
+        # expansion behaves like git log --decorate=short and strips out the
+        # refs/heads/ and refs/tags/ prefixes that would let us distinguish
+        # between branches and tags. By ignoring refnames without digits, we
+        # filter out many common branch names like "release" and
+        # "stabilization", as well as "HEAD" and "master".
+        tags = {r for r in refs if re.search(r'\d', r)}
+        if verbose:
+            print("discarding '%%s', no digits" %% ",".join(refs - tags))
+    if verbose:
+        print("likely tags: %%s" %% ",".join(sorted(tags)))
+    for ref in sorted(tags):
+        # sorting will prefer e.g. "2.0" over "2.0rc1"
+        if ref.startswith(tag_prefix):
+            r = ref[len(tag_prefix):]
+            # Filter out refs that exactly match prefix or that don't start
+            # with a number once the prefix is stripped (mostly a concern
+            # when prefix is '')
+            if not re.match(r'\d', r):
+                continue
+            if verbose:
+                print("picking %%s" %% r)
+            return {"version": r,
+                    "full-revisionid": keywords["full"].strip(),
+                    "dirty": False, "error": None,
+                    "date": date}
+    # no suitable tags, so version is "0+unknown", but full hex is still there
+    if verbose:
+        print("no suitable tags, using unknown + full revision id")
+    return {"version": "0+unknown",
+            "full-revisionid": keywords["full"].strip(),
+            "dirty": False, "error": "no suitable tags", "date": None}
+
+
+@register_vcs_handler("git", "pieces_from_vcs")
+def git_pieces_from_vcs(tag_prefix, root, verbose, runner=run_command):
+    """Get version from 'git describe' in the root of the source tree.
+
+    This only gets called if the git-archive 'subst' keywords were *not*
+    expanded, and _version.py hasn't already been rewritten with a short
+    version string, meaning we're inside a checked out source tree.
+    """
+    GITS = ["git"]
+    if sys.platform == "win32":
+        GITS = ["git.cmd", "git.exe"]
+
+    # GIT_DIR can interfere with correct operation of Versioneer.
+    # It may be intended to be passed to the Versioneer-versioned project,
+    # but that should not change where we get our version from.
+    env = os.environ.copy()
+    env.pop("GIT_DIR", None)
+    runner = functools.partial(runner, env=env)
+
+    _, rc = runner(GITS, ["rev-parse", "--git-dir"], cwd=root,
+                   hide_stderr=True)
+    if rc != 0:
+        if verbose:
+            print("Directory %%s not under git control" %% root)
+        raise NotThisMethod("'git rev-parse --git-dir' returned error")
+
+    # if there is a tag matching tag_prefix, this yields TAG-NUM-gHEX[-dirty]
+    # if there isn't one, this yields HEX[-dirty] (no NUM)
+    describe_out, rc = runner(GITS, [
+        "describe", "--tags", "--dirty", "--always", "--long",
+        "--match", f"{tag_prefix}[[:digit:]]*"
+        ], cwd=root)
+    # --long was added in git-1.5.5
+    if describe_out is None:
+        raise NotThisMethod("'git describe' failed")
+    describe_out = describe_out.strip()
+    full_out, rc = runner(GITS, ["rev-parse", "HEAD"], cwd=root)
+    if full_out is None:
+        raise NotThisMethod("'git rev-parse' failed")
+    full_out = full_out.strip()
+
+    pieces = {}
+    pieces["long"] = full_out
+    pieces["short"] = full_out[:7]  # maybe improved later
+    pieces["error"] = None
+
+    branch_name, rc = runner(GITS, ["rev-parse", "--abbrev-ref", "HEAD"],
+                             cwd=root)
+    # --abbrev-ref was added in git-1.6.3
+    if rc != 0 or branch_name is None:
+        raise NotThisMethod("'git rev-parse --abbrev-ref' returned error")
+    branch_name = branch_name.strip()
+
+    if branch_name == "HEAD":
+        # If we aren't exactly on a branch, pick a branch which represents
+        # the current commit. If all else fails, we are on a branchless
+        # commit.
+        branches, rc = runner(GITS, ["branch", "--contains"], cwd=root)
+        # --contains was added in git-1.5.4
+        if rc != 0 or branches is None:
+            raise NotThisMethod("'git branch --contains' returned error")
+        branches = branches.split("\n")
+
+        # Remove the first line if we're running detached
+        if "(" in branches[0]:
+            branches.pop(0)
+
+        # Strip off the leading "* " from the list of branches.
+        branches = [branch[2:] for branch in branches]
+        if "master" in branches:
+            branch_name = "master"
+        elif not branches:
+            branch_name = None
+        else:
+            # Pick the first branch that is returned. Good or bad.
+            branch_name = branches[0]
+
+    pieces["branch"] = branch_name
+
+    # parse describe_out. It will be like TAG-NUM-gHEX[-dirty] or HEX[-dirty]
+    # TAG might have hyphens.
+    git_describe = describe_out
+
+    # look for -dirty suffix
+    dirty = git_describe.endswith("-dirty")
+    pieces["dirty"] = dirty
+    if dirty:
+        git_describe = git_describe[:git_describe.rindex("-dirty")]
+
+    # now we have TAG-NUM-gHEX or HEX
+
+    if "-" in git_describe:
+        # TAG-NUM-gHEX
+        mo = re.search(r'^(.+)-(\d+)-g([0-9a-f]+)$', git_describe)
+        if not mo:
+            # unparsable. Maybe git-describe is misbehaving?
+            pieces["error"] = ("unable to parse git-describe output: '%%s'"
+                               %% describe_out)
+            return pieces
+
+        # tag
+        full_tag = mo.group(1)
+        if not full_tag.startswith(tag_prefix):
+            if verbose:
+                fmt = "tag '%%s' doesn't start with prefix '%%s'"
+                print(fmt %% (full_tag, tag_prefix))
+            pieces["error"] = ("tag '%%s' doesn't start with prefix '%%s'"
+                               %% (full_tag, tag_prefix))
+            return pieces
+        pieces["closest-tag"] = full_tag[len(tag_prefix):]
+
+        # distance: number of commits since tag
+        pieces["distance"] = int(mo.group(2))
+
+        # commit: short hex revision ID
+        pieces["short"] = mo.group(3)
+
+    else:
+        # HEX: no tags
+        pieces["closest-tag"] = None
+        out, rc = runner(GITS, ["rev-list", "HEAD", "--left-right"], cwd=root)
+        pieces["distance"] = len(out.split())  # total number of commits
+
+    # commit date: see ISO-8601 comment in git_versions_from_keywords()
+    date = runner(GITS, ["show", "-s", "--format=%%ci", "HEAD"], cwd=root)[0].strip()
+    # Use only the last line.  Previous lines may contain GPG signature
+    # information.
+    date = date.splitlines()[-1]
+    pieces["date"] = date.strip().replace(" ", "T", 1).replace(" ", "", 1)
+
+    return pieces
+
+
+def plus_or_dot(pieces):
+    """Return a + if we don't already have one, else return a ."""
+    if "+" in pieces.get("closest-tag", ""):
+        return "."
+    return "+"
+
+
+def render_pep440(pieces):
+    """Build up version string, with post-release "local version identifier".
+
+    Our goal: TAG[+DISTANCE.gHEX[.dirty]] . Note that if you
+    get a tagged build and then dirty it, you'll get TAG+0.gHEX.dirty
+
+    Exceptions:
+    1: no tags. git_describe was just HEX. 0+untagged.DISTANCE.gHEX[.dirty]
+    """
+    if pieces["closest-tag"]:
+        rendered = pieces["closest-tag"]
+        if pieces["distance"] or pieces["dirty"]:
+            rendered += plus_or_dot(pieces)
+            rendered += "%%d.g%%s" %% (pieces["distance"], pieces["short"])
+            if pieces["dirty"]:
+                rendered += ".dirty"
+    else:
+        # exception #1
+        rendered = "0+untagged.%%d.g%%s" %% (pieces["distance"],
+                                          pieces["short"])
+        if pieces["dirty"]:
+            rendered += ".dirty"
+    return rendered
+
+
+def render_pep440_branch(pieces):
+    """TAG[[.dev0]+DISTANCE.gHEX[.dirty]] .
+
+    The ".dev0" means not master branch. Note that .dev0 sorts backwards
+    (a feature branch will appear "older" than the master branch).
+
+    Exceptions:
+    1: no tags. 0[.dev0]+untagged.DISTANCE.gHEX[.dirty]
+    """
+    if pieces["closest-tag"]:
+        rendered = pieces["closest-tag"]
+        if pieces["distance"] or pieces["dirty"]:
+            if pieces["branch"] != "master":
+                rendered += ".dev0"
+            rendered += plus_or_dot(pieces)
+            rendered += "%%d.g%%s" %% (pieces["distance"], pieces["short"])
+            if pieces["dirty"]:
+                rendered += ".dirty"
+    else:
+        # exception #1
+        rendered = "0"
+        if pieces["branch"] != "master":
+            rendered += ".dev0"
+        rendered += "+untagged.%%d.g%%s" %% (pieces["distance"],
+                                          pieces["short"])
+        if pieces["dirty"]:
+            rendered += ".dirty"
+    return rendered
+
+
+def pep440_split_post(ver):
+    """Split pep440 version string at the post-release segment.
+
+    Returns the release segments before the post-release and the
+    post-release version number (or -1 if no post-release segment is present).
+    """
+    vc = str.split(ver, ".post")
+    return vc[0], int(vc[1] or 0) if len(vc) == 2 else None
+
+
+def render_pep440_pre(pieces):
+    """TAG[.postN.devDISTANCE] -- No -dirty.
+
+    Exceptions:
+    1: no tags. 0.post0.devDISTANCE
+    """
+    if pieces["closest-tag"]:
+        if pieces["distance"]:
+            # update the post release segment
+            tag_version, post_version = pep440_split_post(pieces["closest-tag"])
+            rendered = tag_version
+            if post_version is not None:
+                rendered += ".post%%d.dev%%d" %% (post_version + 1, pieces["distance"])
+            else:
+                rendered += ".post0.dev%%d" %% (pieces["distance"])
+        else:
+            # no commits, use the tag as the version
+            rendered = pieces["closest-tag"]
+    else:
+        # exception #1
+        rendered = "0.post0.dev%%d" %% pieces["distance"]
+    return rendered
+
+
+def render_pep440_post(pieces):
+    """TAG[.postDISTANCE[.dev0]+gHEX] .
+
+    The ".dev0" means dirty. Note that .dev0 sorts backwards
+    (a dirty tree will appear "older" than the corresponding clean one),
+    but you shouldn't be releasing software with -dirty anyways.
+
+    Exceptions:
+    1: no tags. 0.postDISTANCE[.dev0]
+    """
+    if pieces["closest-tag"]:
+        rendered = pieces["closest-tag"]
+        if pieces["distance"] or pieces["dirty"]:
+            rendered += ".post%%d" %% pieces["distance"]
+            if pieces["dirty"]:
+                rendered += ".dev0"
+            rendered += plus_or_dot(pieces)
+            rendered += "g%%s" %% pieces["short"]
+    else:
+        # exception #1
+        rendered = "0.post%%d" %% pieces["distance"]
+        if pieces["dirty"]:
+            rendered += ".dev0"
+        rendered += "+g%%s" %% pieces["short"]
+    return rendered
+
+
+def render_pep440_post_branch(pieces):
+    """TAG[.postDISTANCE[.dev0]+gHEX[.dirty]] .
+
+    The ".dev0" means not master branch.
+
+    Exceptions:
+    1: no tags. 0.postDISTANCE[.dev0]+gHEX[.dirty]
+    """
+    if pieces["closest-tag"]:
+        rendered = pieces["closest-tag"]
+        if pieces["distance"] or pieces["dirty"]:
+            rendered += ".post%%d" %% pieces["distance"]
+            if pieces["branch"] != "master":
+                rendered += ".dev0"
+            rendered += plus_or_dot(pieces)
+            rendered += "g%%s" %% pieces["short"]
+            if pieces["dirty"]:
+                rendered += ".dirty"
+    else:
+        # exception #1
+        rendered = "0.post%%d" %% pieces["distance"]
+        if pieces["branch"] != "master":
+            rendered += ".dev0"
+        rendered += "+g%%s" %% pieces["short"]
+        if pieces["dirty"]:
+            rendered += ".dirty"
+    return rendered
+
+
+def render_pep440_old(pieces):
+    """TAG[.postDISTANCE[.dev0]] .
+
+    The ".dev0" means dirty.
+
+    Exceptions:
+    1: no tags. 0.postDISTANCE[.dev0]
+    """
+    if pieces["closest-tag"]:
+        rendered = pieces["closest-tag"]
+        if pieces["distance"] or pieces["dirty"]:
+            rendered += ".post%%d" %% pieces["distance"]
+            if pieces["dirty"]:
+                rendered += ".dev0"
+    else:
+        # exception #1
+        rendered = "0.post%%d" %% pieces["distance"]
+        if pieces["dirty"]:
+            rendered += ".dev0"
+    return rendered
+
+
+def render_git_describe(pieces):
+    """TAG[-DISTANCE-gHEX][-dirty].
+
+    Like 'git describe --tags --dirty --always'.
+
+    Exceptions:
+    1: no tags. HEX[-dirty]  (note: no 'g' prefix)
+    """
+    if pieces["closest-tag"]:
+        rendered = pieces["closest-tag"]
+        if pieces["distance"]:
+            rendered += "-%%d-g%%s" %% (pieces["distance"], pieces["short"])
+    else:
+        # exception #1
+        rendered = pieces["short"]
+    if pieces["dirty"]:
+        rendered += "-dirty"
+    return rendered
+
+
+def render_git_describe_long(pieces):
+    """TAG-DISTANCE-gHEX[-dirty].
+
+    Like 'git describe --tags --dirty --always -long'.
+    The distance/hash is unconditional.
+
+    Exceptions:
+    1: no tags. HEX[-dirty]  (note: no 'g' prefix)
+    """
+    if pieces["closest-tag"]:
+        rendered = pieces["closest-tag"]
+        rendered += "-%%d-g%%s" %% (pieces["distance"], pieces["short"])
+    else:
+        # exception #1
+        rendered = pieces["short"]
+    if pieces["dirty"]:
+        rendered += "-dirty"
+    return rendered
+
+
+def render(pieces, style):
+    """Render the given version pieces into the requested style."""
+    if pieces["error"]:
+        return {"version": "unknown",
+                "full-revisionid": pieces.get("long"),
+                "dirty": None,
+                "error": pieces["error"],
+                "date": None}
+
+    if not style or style == "default":
+        style = "pep440"  # the default
+
+    if style == "pep440":
+        rendered = render_pep440(pieces)
+    elif style == "pep440-branch":
+        rendered = render_pep440_branch(pieces)
+    elif style == "pep440-pre":
+        rendered = render_pep440_pre(pieces)
+    elif style == "pep440-post":
+        rendered = render_pep440_post(pieces)
+    elif style == "pep440-post-branch":
+        rendered = render_pep440_post_branch(pieces)
+    elif style == "pep440-old":
+        rendered = render_pep440_old(pieces)
+    elif style == "git-describe":
+        rendered = render_git_describe(pieces)
+    elif style == "git-describe-long":
+        rendered = render_git_describe_long(pieces)
+    else:
+        raise ValueError("unknown style '%%s'" %% style)
+
+    return {"version": rendered, "full-revisionid": pieces["long"],
+            "dirty": pieces["dirty"], "error": None,
+            "date": pieces.get("date")}
+
+
+def get_versions():
+    """Get version information or return default if unable to do so."""
+    # I am in _version.py, which lives at ROOT/VERSIONFILE_SOURCE. If we have
+    # __file__, we can work backwards from there to the root. Some
+    # py2exe/bbfreeze/non-CPython implementations don't do __file__, in which
+    # case we can only use expanded keywords.
+
+    cfg = get_config()
+    verbose = cfg.verbose
+
+    try:
+        return git_versions_from_keywords(get_keywords(), cfg.tag_prefix,
+                                          verbose)
+    except NotThisMethod:
+        pass
+
+    try:
+        root = os.path.realpath(__file__)
+        # versionfile_source is the relative path from the top of the source
+        # tree (where the .git directory might live) to this file. Invert
+        # this to find the root from __file__.
+        for _ in cfg.versionfile_source.split('/'):
+            root = os.path.dirname(root)
+    except NameError:
+        return {"version": "0+unknown", "full-revisionid": None,
+                "dirty": None,
+                "error": "unable to find root of source tree",
+                "date": None}
+
+    try:
+        pieces = git_pieces_from_vcs(cfg.tag_prefix, root, verbose)
+        return render(pieces, cfg.style)
+    except NotThisMethod:
+        pass
+
+    try:
+        if cfg.parentdir_prefix:
+            return versions_from_parentdir(cfg.parentdir_prefix, root, verbose)
+    except NotThisMethod:
+        pass
+
+    return {"version": "0+unknown", "full-revisionid": None,
+            "dirty": None,
+            "error": "unable to compute version", "date": None}
+'''
+
+
+@register_vcs_handler("git", "get_keywords")
+def git_get_keywords(versionfile_abs):
+    """Extract version information from the given file."""
+    # the code embedded in _version.py can just fetch the value of these
+    # keywords. When used from setup.py, we don't want to import _version.py,
+    # so we do it with a regexp instead. This function is not used from
+    # _version.py.
+    keywords = {}
+    try:
+        with open(versionfile_abs, "r") as fobj:
+            for line in fobj:
+                if line.strip().startswith("git_refnames ="):
+                    mo = re.search(r'=\s*"(.*)"', line)
+                    if mo:
+                        keywords["refnames"] = mo.group(1)
+                if line.strip().startswith("git_full ="):
+                    mo = re.search(r'=\s*"(.*)"', line)
+                    if mo:
+                        keywords["full"] = mo.group(1)
+                if line.strip().startswith("git_date ="):
+                    mo = re.search(r'=\s*"(.*)"', line)
+                    if mo:
+                        keywords["date"] = mo.group(1)
+    except OSError:
+        pass
+    return keywords
+
+
+@register_vcs_handler("git", "keywords")
+def git_versions_from_keywords(keywords, tag_prefix, verbose):
+    """Get version information from git keywords."""
+    if "refnames" not in keywords:
+        raise NotThisMethod("Short version file found")
+    date = keywords.get("date")
+    if date is not None:
+        # Use only the last line.  Previous lines may contain GPG signature
+        # information.
+        date = date.splitlines()[-1]
+
+        # git-2.2.0 added "%cI", which expands to an ISO-8601 -compliant
+        # datestamp. However we prefer "%ci" (which expands to an "ISO-8601
+        # -like" string, which we must then edit to make compliant), because
+        # it's been around since git-1.5.3, and it's too difficult to
+        # discover which version we're using, or to work around using an
+        # older one.
+        date = date.strip().replace(" ", "T", 1).replace(" ", "", 1)
+    refnames = keywords["refnames"].strip()
+    if refnames.startswith("$Format"):
+        if verbose:
+            print("keywords are unexpanded, not using")
+        raise NotThisMethod("unexpanded keywords, not a git-archive tarball")
+    refs = {r.strip() for r in refnames.strip("()").split(",")}
+    # starting in git-1.8.3, tags are listed as "tag: foo-1.0" instead of
+    # just "foo-1.0". If we see a "tag: " prefix, prefer those.
+    TAG = "tag: "
+    tags = {r[len(TAG) :] for r in refs if r.startswith(TAG)}
+    if not tags:
+        # Either we're using git < 1.8.3, or there really are no tags. We use
+        # a heuristic: assume all version tags have a digit. The old git %d
+        # expansion behaves like git log --decorate=short and strips out the
+        # refs/heads/ and refs/tags/ prefixes that would let us distinguish
+        # between branches and tags. By ignoring refnames without digits, we
+        # filter out many common branch names like "release" and
+        # "stabilization", as well as "HEAD" and "master".
+        tags = {r for r in refs if re.search(r"\d", r)}
+        if verbose:
+            print("discarding '%s', no digits" % ",".join(refs - tags))
+    if verbose:
+        print("likely tags: %s" % ",".join(sorted(tags)))
+    for ref in sorted(tags):
+        # sorting will prefer e.g. "2.0" over "2.0rc1"
+        if ref.startswith(tag_prefix):
+            r = ref[len(tag_prefix) :]
+            # Filter out refs that exactly match prefix or that don't start
+            # with a number once the prefix is stripped (mostly a concern
+            # when prefix is '')
+            if not re.match(r"\d", r):
+                continue
+            if verbose:
+                print("picking %s" % r)
+            return {
+                "version": r,
+                "full-revisionid": keywords["full"].strip(),
+                "dirty": False,
+                "error": None,
+                "date": date,
+            }
+    # no suitable tags, so version is "0+unknown", but full hex is still there
+    if verbose:
+        print("no suitable tags, using unknown + full revision id")
+    return {
+        "version": "0+unknown",
+        "full-revisionid": keywords["full"].strip(),
+        "dirty": False,
+        "error": "no suitable tags",
+        "date": None,
+    }
+
+
+@register_vcs_handler("git", "pieces_from_vcs")
+def git_pieces_from_vcs(tag_prefix, root, verbose, runner=run_command):
+    """Get version from 'git describe' in the root of the source tree.
+
+    This only gets called if the git-archive 'subst' keywords were *not*
+    expanded, and _version.py hasn't already been rewritten with a short
+    version string, meaning we're inside a checked out source tree.
+    """
+    GITS = ["git"]
+    if sys.platform == "win32":
+        GITS = ["git.cmd", "git.exe"]
+
+    # GIT_DIR can interfere with correct operation of Versioneer.
+    # It may be intended to be passed to the Versioneer-versioned project,
+    # but that should not change where we get our version from.
+    env = os.environ.copy()
+    env.pop("GIT_DIR", None)
+    runner = functools.partial(runner, env=env)
+
+    _, rc = runner(GITS, ["rev-parse", "--git-dir"], cwd=root, hide_stderr=True)
+    if rc != 0:
+        if verbose:
+            print("Directory %s not under git control" % root)
+        raise NotThisMethod("'git rev-parse --git-dir' returned error")
+
+    # if there is a tag matching tag_prefix, this yields TAG-NUM-gHEX[-dirty]
+    # if there isn't one, this yields HEX[-dirty] (no NUM)
+    describe_out, rc = runner(
+        GITS,
+        [
+            "describe",
+            "--tags",
+            "--dirty",
+            "--always",
+            "--long",
+            "--match",
+            f"{tag_prefix}[[:digit:]]*",
+        ],
+        cwd=root,
+    )
+    # --long was added in git-1.5.5
+    if describe_out is None:
+        raise NotThisMethod("'git describe' failed")
+    describe_out = describe_out.strip()
+    full_out, rc = runner(GITS, ["rev-parse", "HEAD"], cwd=root)
+    if full_out is None:
+        raise NotThisMethod("'git rev-parse' failed")
+    full_out = full_out.strip()
+
+    pieces = {}
+    pieces["long"] = full_out
+    pieces["short"] = full_out[:7]  # maybe improved later
+    pieces["error"] = None
+
+    branch_name, rc = runner(GITS, ["rev-parse", "--abbrev-ref", "HEAD"], cwd=root)
+    # --abbrev-ref was added in git-1.6.3
+    if rc != 0 or branch_name is None:
+        raise NotThisMethod("'git rev-parse --abbrev-ref' returned error")
+    branch_name = branch_name.strip()
+
+    if branch_name == "HEAD":
+        # If we aren't exactly on a branch, pick a branch which represents
+        # the current commit. If all else fails, we are on a branchless
+        # commit.
+        branches, rc = runner(GITS, ["branch", "--contains"], cwd=root)
+        # --contains was added in git-1.5.4
+        if rc != 0 or branches is None:
+            raise NotThisMethod("'git branch --contains' returned error")
+        branches = branches.split("\n")
+
+        # Remove the first line if we're running detached
+        if "(" in branches[0]:
+            branches.pop(0)
+
+        # Strip off the leading "* " from the list of branches.
+        branches = [branch[2:] for branch in branches]
+        if "master" in branches:
+            branch_name = "master"
+        elif not branches:
+            branch_name = None
+        else:
+            # Pick the first branch that is returned. Good or bad.
+            branch_name = branches[0]
+
+    pieces["branch"] = branch_name
+
+    # parse describe_out. It will be like TAG-NUM-gHEX[-dirty] or HEX[-dirty]
+    # TAG might have hyphens.
+    git_describe = describe_out
+
+    # look for -dirty suffix
+    dirty = git_describe.endswith("-dirty")
+    pieces["dirty"] = dirty
+    if dirty:
+        git_describe = git_describe[: git_describe.rindex("-dirty")]
+
+    # now we have TAG-NUM-gHEX or HEX
+
+    if "-" in git_describe:
+        # TAG-NUM-gHEX
+        mo = re.search(r"^(.+)-(\d+)-g([0-9a-f]+)$", git_describe)
+        if not mo:
+            # unparsable. Maybe git-describe is misbehaving?
+            pieces["error"] = "unable to parse git-describe output: '%s'" % describe_out
+            return pieces
+
+        # tag
+        full_tag = mo.group(1)
+        if not full_tag.startswith(tag_prefix):
+            if verbose:
+                fmt = "tag '%s' doesn't start with prefix '%s'"
+                print(fmt % (full_tag, tag_prefix))
+            pieces["error"] = "tag '%s' doesn't start with prefix '%s'" % (full_tag, tag_prefix)
+            return pieces
+        pieces["closest-tag"] = full_tag[len(tag_prefix) :]
+
+        # distance: number of commits since tag
+        pieces["distance"] = int(mo.group(2))
+
+        # commit: short hex revision ID
+        pieces["short"] = mo.group(3)
+
+    else:
+        # HEX: no tags
+        pieces["closest-tag"] = None
+        out, rc = runner(GITS, ["rev-list", "HEAD", "--left-right"], cwd=root)
+        pieces["distance"] = len(out.split())  # total number of commits
+
+    # commit date: see ISO-8601 comment in git_versions_from_keywords()
+    date = runner(GITS, ["show", "-s", "--format=%ci", "HEAD"], cwd=root)[0].strip()
+    # Use only the last line.  Previous lines may contain GPG signature
+    # information.
+    date = date.splitlines()[-1]
+    pieces["date"] = date.strip().replace(" ", "T", 1).replace(" ", "", 1)
+
+    return pieces
+
+
+def do_vcs_install(versionfile_source, ipy):
+    """Git-specific installation logic for Versioneer.
+
+    For Git, this means creating/changing .gitattributes to mark _version.py
+    for export-subst keyword substitution.
+    """
+    GITS = ["git"]
+    if sys.platform == "win32":
+        GITS = ["git.cmd", "git.exe"]
+    files = [versionfile_source]
+    if ipy:
+        files.append(ipy)
+    try:
+        my_path = __file__
+        if my_path.endswith(".pyc") or my_path.endswith(".pyo"):
+            my_path = os.path.splitext(my_path)[0] + ".py"
+        versioneer_file = os.path.relpath(my_path)
+    except NameError:
+        versioneer_file = "versioneer.py"
+    files.append(versioneer_file)
+    present = False
+    try:
+        with open(".gitattributes", "r") as fobj:
+            for line in fobj:
+                if line.strip().startswith(versionfile_source):
+                    if "export-subst" in line.strip().split()[1:]:
+                        present = True
+                        break
+    except OSError:
+        pass
+    if not present:
+        with open(".gitattributes", "a+") as fobj:
+            fobj.write(f"{versionfile_source} export-subst\n")
+        files.append(".gitattributes")
+    run_command(GITS, ["add", "--"] + files)
+
+
+def versions_from_parentdir(parentdir_prefix, root, verbose):
+    """Try to determine the version from the parent directory name.
+
+    Source tarballs conventionally unpack into a directory that includes both
+    the project name and a version string. We will also support searching up
+    two directory levels for an appropriately named parent directory
+    """
+    rootdirs = []
+
+    for _ in range(3):
+        dirname = os.path.basename(root)
+        if dirname.startswith(parentdir_prefix):
+            return {
+                "version": dirname[len(parentdir_prefix) :],
+                "full-revisionid": None,
+                "dirty": False,
+                "error": None,
+                "date": None,
+            }
+        rootdirs.append(root)
+        root = os.path.dirname(root)  # up a level
+
+    if verbose:
+        print(
+            "Tried directories %s but none started with prefix %s"
+            % (str(rootdirs), parentdir_prefix)
+        )
+    raise NotThisMethod("rootdir doesn't start with parentdir_prefix")
+
+
+SHORT_VERSION_PY = """
+# This file was generated by 'versioneer.py' (0.23) from
+# revision-control system data, or from the parent directory name of an
+# unpacked source archive. Distribution tarballs contain a pre-generated copy
+# of this file.
+
+import json
+
+version_json = '''
+%s
+'''  # END VERSION_JSON
+
+
+def get_versions():
+    return json.loads(version_json)
+"""
+
+
+def versions_from_file(filename):
+    """Try to determine the version from _version.py if present."""
+    try:
+        with open(filename) as f:
+            contents = f.read()
+    except OSError:
+        raise NotThisMethod("unable to read _version.py")
+    mo = re.search(r"version_json = '''\n(.*)'''  # END VERSION_JSON", contents, re.M | re.S)
+    if not mo:
+        mo = re.search(r"version_json = '''\r\n(.*)'''  # END VERSION_JSON", contents, re.M | re.S)
+    if not mo:
+        raise NotThisMethod("no version_json in _version.py")
+    return json.loads(mo.group(1))
+
+
+def write_to_version_file(filename, versions):
+    """Write the given version number to the given _version.py file."""
+    os.unlink(filename)
+    contents = json.dumps(versions, sort_keys=True, indent=1, separators=(",", ": "))
+    with open(filename, "w") as f:
+        f.write(SHORT_VERSION_PY % contents)
+
+    print("set %s to '%s'" % (filename, versions["version"]))
+
+
+def plus_or_dot(pieces):
+    """Return a + if we don't already have one, else return a ."""
+    if "+" in pieces.get("closest-tag", ""):
+        return "."
+    return "+"
+
+
+def render_pep440(pieces):
+    """Build up version string, with post-release "local version identifier".
+
+    Our goal: TAG[+DISTANCE.gHEX[.dirty]] . Note that if you
+    get a tagged build and then dirty it, you'll get TAG+0.gHEX.dirty
+
+    Exceptions:
+    1: no tags. git_describe was just HEX. 0+untagged.DISTANCE.gHEX[.dirty]
+    """
+    if pieces["closest-tag"]:
+        rendered = pieces["closest-tag"]
+        if pieces["distance"] or pieces["dirty"]:
+            rendered += plus_or_dot(pieces)
+            rendered += "%d.g%s" % (pieces["distance"], pieces["short"])
+            if pieces["dirty"]:
+                rendered += ".dirty"
+    else:
+        # exception #1
+        rendered = "0+untagged.%d.g%s" % (pieces["distance"], pieces["short"])
+        if pieces["dirty"]:
+            rendered += ".dirty"
+    return rendered
+
+
+def render_pep440_branch(pieces):
+    """TAG[[.dev0]+DISTANCE.gHEX[.dirty]] .
+
+    The ".dev0" means not master branch. Note that .dev0 sorts backwards
+    (a feature branch will appear "older" than the master branch).
+
+    Exceptions:
+    1: no tags. 0[.dev0]+untagged.DISTANCE.gHEX[.dirty]
+    """
+    if pieces["closest-tag"]:
+        rendered = pieces["closest-tag"]
+        if pieces["distance"] or pieces["dirty"]:
+            if pieces["branch"] != "master":
+                rendered += ".dev0"
+            rendered += plus_or_dot(pieces)
+            rendered += "%d.g%s" % (pieces["distance"], pieces["short"])
+            if pieces["dirty"]:
+                rendered += ".dirty"
+    else:
+        # exception #1
+        rendered = "0"
+        if pieces["branch"] != "master":
+            rendered += ".dev0"
+        rendered += "+untagged.%d.g%s" % (pieces["distance"], pieces["short"])
+        if pieces["dirty"]:
+            rendered += ".dirty"
+    return rendered
+
+
+def pep440_split_post(ver):
+    """Split pep440 version string at the post-release segment.
+
+    Returns the release segments before the post-release and the
+    post-release version number (or -1 if no post-release segment is present).
+    """
+    vc = str.split(ver, ".post")
+    return vc[0], int(vc[1] or 0) if len(vc) == 2 else None
+
+
+def render_pep440_pre(pieces):
+    """TAG[.postN.devDISTANCE] -- No -dirty.
+
+    Exceptions:
+    1: no tags. 0.post0.devDISTANCE
+    """
+    if pieces["closest-tag"]:
+        if pieces["distance"]:
+            # update the post release segment
+            tag_version, post_version = pep440_split_post(pieces["closest-tag"])
+            rendered = tag_version
+            if post_version is not None:
+                rendered += ".post%d.dev%d" % (post_version + 1, pieces["distance"])
+            else:
+                rendered += ".post0.dev%d" % (pieces["distance"])
+        else:
+            # no commits, use the tag as the version
+            rendered = pieces["closest-tag"]
+    else:
+        # exception #1
+        rendered = "0.post0.dev%d" % pieces["distance"]
+    return rendered
+
+
+def render_pep440_post(pieces):
+    """TAG[.postDISTANCE[.dev0]+gHEX] .
+
+    The ".dev0" means dirty. Note that .dev0 sorts backwards
+    (a dirty tree will appear "older" than the corresponding clean one),
+    but you shouldn't be releasing software with -dirty anyways.
+
+    Exceptions:
+    1: no tags. 0.postDISTANCE[.dev0]
+    """
+    if pieces["closest-tag"]:
+        rendered = pieces["closest-tag"]
+        if pieces["distance"] or pieces["dirty"]:
+            rendered += ".post%d" % pieces["distance"]
+            if pieces["dirty"]:
+                rendered += ".dev0"
+            rendered += plus_or_dot(pieces)
+            rendered += "g%s" % pieces["short"]
+    else:
+        # exception #1
+        rendered = "0.post%d" % pieces["distance"]
+        if pieces["dirty"]:
+            rendered += ".dev0"
+        rendered += "+g%s" % pieces["short"]
+    return rendered
+
+
+def render_pep440_post_branch(pieces):
+    """TAG[.postDISTANCE[.dev0]+gHEX[.dirty]] .
+
+    The ".dev0" means not master branch.
+
+    Exceptions:
+    1: no tags. 0.postDISTANCE[.dev0]+gHEX[.dirty]
+    """
+    if pieces["closest-tag"]:
+        rendered = pieces["closest-tag"]
+        if pieces["distance"] or pieces["dirty"]:
+            rendered += ".post%d" % pieces["distance"]
+            if pieces["branch"] != "master":
+                rendered += ".dev0"
+            rendered += plus_or_dot(pieces)
+            rendered += "g%s" % pieces["short"]
+            if pieces["dirty"]:
+                rendered += ".dirty"
+    else:
+        # exception #1
+        rendered = "0.post%d" % pieces["distance"]
+        if pieces["branch"] != "master":
+            rendered += ".dev0"
+        rendered += "+g%s" % pieces["short"]
+        if pieces["dirty"]:
+            rendered += ".dirty"
+    return rendered
+
+
+def render_pep440_old(pieces):
+    """TAG[.postDISTANCE[.dev0]] .
+
+    The ".dev0" means dirty.
+
+    Exceptions:
+    1: no tags. 0.postDISTANCE[.dev0]
+    """
+    if pieces["closest-tag"]:
+        rendered = pieces["closest-tag"]
+        if pieces["distance"] or pieces["dirty"]:
+            rendered += ".post%d" % pieces["distance"]
+            if pieces["dirty"]:
+                rendered += ".dev0"
+    else:
+        # exception #1
+        rendered = "0.post%d" % pieces["distance"]
+        if pieces["dirty"]:
+            rendered += ".dev0"
+    return rendered
+
+
+def render_git_describe(pieces):
+    """TAG[-DISTANCE-gHEX][-dirty].
+
+    Like 'git describe --tags --dirty --always'.
+
+    Exceptions:
+    1: no tags. HEX[-dirty]  (note: no 'g' prefix)
+    """
+    if pieces["closest-tag"]:
+        rendered = pieces["closest-tag"]
+        if pieces["distance"]:
+            rendered += "-%d-g%s" % (pieces["distance"], pieces["short"])
+    else:
+        # exception #1
+        rendered = pieces["short"]
+    if pieces["dirty"]:
+        rendered += "-dirty"
+    return rendered
+
+
+def render_git_describe_long(pieces):
+    """TAG-DISTANCE-gHEX[-dirty].
+
+    Like 'git describe --tags --dirty --always -long'.
+    The distance/hash is unconditional.
+
+    Exceptions:
+    1: no tags. HEX[-dirty]  (note: no 'g' prefix)
+    """
+    if pieces["closest-tag"]:
+        rendered = pieces["closest-tag"]
+        rendered += "-%d-g%s" % (pieces["distance"], pieces["short"])
+    else:
+        # exception #1
+        rendered = pieces["short"]
+    if pieces["dirty"]:
+        rendered += "-dirty"
+    return rendered
+
+
+def render(pieces, style):
+    """Render the given version pieces into the requested style."""
+    if pieces["error"]:
+        return {
+            "version": "unknown",
+            "full-revisionid": pieces.get("long"),
+            "dirty": None,
+            "error": pieces["error"],
+            "date": None,
+        }
+
+    if not style or style == "default":
+        style = "pep440"  # the default
+
+    if style == "pep440":
+        rendered = render_pep440(pieces)
+    elif style == "pep440-branch":
+        rendered = render_pep440_branch(pieces)
+    elif style == "pep440-pre":
+        rendered = render_pep440_pre(pieces)
+    elif style == "pep440-post":
+        rendered = render_pep440_post(pieces)
+    elif style == "pep440-post-branch":
+        rendered = render_pep440_post_branch(pieces)
+    elif style == "pep440-old":
+        rendered = render_pep440_old(pieces)
+    elif style == "git-describe":
+        rendered = render_git_describe(pieces)
+    elif style == "git-describe-long":
+        rendered = render_git_describe_long(pieces)
+    else:
+        raise ValueError("unknown style '%s'" % style)
+
+    return {
+        "version": rendered,
+        "full-revisionid": pieces["long"],
+        "dirty": pieces["dirty"],
+        "error": None,
+        "date": pieces.get("date"),
+    }
+
+
+class VersioneerBadRootError(Exception):
+    """The project root directory is unknown or missing key files."""
+
+
+def get_versions(verbose=False):
+    """Get the project version from whatever source is available.
+
+    Returns dict with two keys: 'version' and 'full'.
+    """
+    if "versioneer" in sys.modules:
+        # see the discussion in cmdclass.py:get_cmdclass()
+        del sys.modules["versioneer"]
+
+    root = get_root()
+    cfg = get_config_from_root(root)
+
+    assert cfg.VCS is not None, "please set [versioneer]VCS= in setup.cfg"
+    handlers = HANDLERS.get(cfg.VCS)
+    assert handlers, "unrecognized VCS '%s'" % cfg.VCS
+    verbose = verbose or cfg.verbose
+    assert cfg.versionfile_source is not None, "please set versioneer.versionfile_source"
+    assert cfg.tag_prefix is not None, "please set versioneer.tag_prefix"
+
+    versionfile_abs = os.path.join(root, cfg.versionfile_source)
+
+    # extract version from first of: _version.py, VCS command (e.g. 'git
+    # describe'), parentdir. This is meant to work for developers using a
+    # source checkout, for users of a tarball created by 'setup.py sdist',
+    # and for users of a tarball/zipball created by 'git archive' or github's
+    # download-from-tag feature or the equivalent in other VCSes.
+
+    get_keywords_f = handlers.get("get_keywords")
+    from_keywords_f = handlers.get("keywords")
+    if get_keywords_f and from_keywords_f:
+        try:
+            keywords = get_keywords_f(versionfile_abs)
+            ver = from_keywords_f(keywords, cfg.tag_prefix, verbose)
+            if verbose:
+                print("got version from expanded keyword %s" % ver)
+            return ver
+        except NotThisMethod:
+            pass
+
+    try:
+        ver = versions_from_file(versionfile_abs)
+        if verbose:
+            print("got version from file %s %s" % (versionfile_abs, ver))
+        return ver
+    except NotThisMethod:
+        pass
+
+    from_vcs_f = handlers.get("pieces_from_vcs")
+    if from_vcs_f:
+        try:
+            pieces = from_vcs_f(cfg.tag_prefix, root, verbose)
+            ver = render(pieces, cfg.style)
+            if verbose:
+                print("got version from VCS %s" % ver)
+            return ver
+        except NotThisMethod:
+            pass
+
+    try:
+        if cfg.parentdir_prefix:
+            ver = versions_from_parentdir(cfg.parentdir_prefix, root, verbose)
+            if verbose:
+                print("got version from parentdir %s" % ver)
+            return ver
+    except NotThisMethod:
+        pass
+
+    if verbose:
+        print("unable to compute version")
+
+    return {
+        "version": "0+unknown",
+        "full-revisionid": None,
+        "dirty": None,
+        "error": "unable to compute version",
+        "date": None,
+    }
+
+
+def get_version():
+    """Get the short version string for this project."""
+    return get_versions()["version"]
+
+
+def get_cmdclass(cmdclass=None):
+    """Get the custom setuptools subclasses used by Versioneer.
+
+    If the package uses a different cmdclass (e.g. one from numpy), it
+    should be provide as an argument.
+    """
+    if "versioneer" in sys.modules:
+        del sys.modules["versioneer"]
+        # this fixes the "python setup.py develop" case (also 'install' and
+        # 'easy_install .'), in which subdependencies of the main project are
+        # built (using setup.py bdist_egg) in the same python process. Assume
+        # a main project A and a dependency B, which use different versions
+        # of Versioneer. A's setup.py imports A's Versioneer, leaving it in
+        # sys.modules by the time B's setup.py is executed, causing B to run
+        # with the wrong versioneer. Setuptools wraps the sub-dep builds in a
+        # sandbox that restores sys.modules to it's pre-build state, so the
+        # parent is protected against the child's "import versioneer". By
+        # removing ourselves from sys.modules here, before the child build
+        # happens, we protect the child from the parent's versioneer too.
+        # Also see https://github.com/python-versioneer/python-versioneer/issues/52
+
+    cmds = {} if cmdclass is None else cmdclass.copy()
+
+    # we add "version" to setuptools
+    from setuptools import Command
+
+    class cmd_version(Command):
+        description = "report generated version string"
+        user_options = []
+        boolean_options = []
+
+        def initialize_options(self):
+            pass
+
+        def finalize_options(self):
+            pass
+
+        def run(self):
+            vers = get_versions(verbose=True)
+            print("Version: %s" % vers["version"])
+            print(" full-revisionid: %s" % vers.get("full-revisionid"))
+            print(" dirty: %s" % vers.get("dirty"))
+            print(" date: %s" % vers.get("date"))
+            if vers["error"]:
+                print(" error: %s" % vers["error"])
+
+    cmds["version"] = cmd_version
+
+    # we override "build_py" in setuptools
+    #
+    # most invocation pathways end up running build_py:
+    #  distutils/build -> build_py
+    #  distutils/install -> distutils/build ->..
+    #  setuptools/bdist_wheel -> distutils/install ->..
+    #  setuptools/bdist_egg -> distutils/install_lib -> build_py
+    #  setuptools/install -> bdist_egg ->..
+    #  setuptools/develop -> ?
+    #  pip install:
+    #   copies source tree to a tempdir before running egg_info/etc
+    #   if .git isn't copied too, 'git describe' will fail
+    #   then does setup.py bdist_wheel, or sometimes setup.py install
+    #  setup.py egg_info -> ?
+
+    # pip install -e . and setuptool/editable_wheel will invoke build_py
+    # but the build_py command is not expected to copy any files.
+
+    # we override different "build_py" commands for both environments
+    if "build_py" in cmds:
+        _build_py = cmds["build_py"]
+    else:
+        from setuptools.command.build_py import build_py as _build_py
+
+    class cmd_build_py(_build_py):
+        def run(self):
+            root = get_root()
+            cfg = get_config_from_root(root)
+            versions = get_versions()
+            _build_py.run(self)
+            if getattr(self, "editable_mode", False):
+                # During editable installs `.py` and data files are
+                # not copied to build_lib
+                return
+            # now locate _version.py in the new build/ directory and replace
+            # it with an updated value
+            if cfg.versionfile_build:
+                target_versionfile = os.path.join(self.build_lib, cfg.versionfile_build)
+                print("UPDATING %s" % target_versionfile)
+                write_to_version_file(target_versionfile, versions)
+
+    cmds["build_py"] = cmd_build_py
+
+    if "build_ext" in cmds:
+        _build_ext = cmds["build_ext"]
+    else:
+        from setuptools.command.build_ext import build_ext as _build_ext
+
+    class cmd_build_ext(_build_ext):
+        def run(self):
+            root = get_root()
+            cfg = get_config_from_root(root)
+            versions = get_versions()
+            _build_ext.run(self)
+            if self.inplace:
+                # build_ext --inplace will only build extensions in
+                # build/lib<..> dir with no _version.py to write to.
+                # As in place builds will already have a _version.py
+                # in the module dir, we do not need to write one.
+                return
+            # now locate _version.py in the new build/ directory and replace
+            # it with an updated value
+            target_versionfile = os.path.join(self.build_lib, cfg.versionfile_build)
+            if not os.path.exists(target_versionfile):
+                print(
+                    f"Warning: {target_versionfile} does not exist, skipping "
+                    "version update. This can happen if you are running build_ext "
+                    "without first running build_py."
+                )
+                return
+            print("UPDATING %s" % target_versionfile)
+            write_to_version_file(target_versionfile, versions)
+
+    cmds["build_ext"] = cmd_build_ext
+
+    if "cx_Freeze" in sys.modules:  # cx_freeze enabled?
+        from cx_Freeze.dist import build_exe as _build_exe
+
+        # nczeczulin reports that py2exe won't like the pep440-style string
+        # as FILEVERSION, but it can be used for PRODUCTVERSION, e.g.
+        # setup(console=[{
+        #   "version": versioneer.get_version().split("+", 1)[0], # FILEVERSION
+        #   "product_version": versioneer.get_version(),
+        #   ...
+
+        class cmd_build_exe(_build_exe):
+            def run(self):
+                root = get_root()
+                cfg = get_config_from_root(root)
+                versions = get_versions()
+                target_versionfile = cfg.versionfile_source
+                print("UPDATING %s" % target_versionfile)
+                write_to_version_file(target_versionfile, versions)
+
+                _build_exe.run(self)
+                os.unlink(target_versionfile)
+                with open(cfg.versionfile_source, "w") as f:
+                    LONG = LONG_VERSION_PY[cfg.VCS]
+                    f.write(
+                        LONG
+                        % {
+                            "DOLLAR": "$",
+                            "STYLE": cfg.style,
+                            "TAG_PREFIX": cfg.tag_prefix,
+                            "PARENTDIR_PREFIX": cfg.parentdir_prefix,
+                            "VERSIONFILE_SOURCE": cfg.versionfile_source,
+                        }
+                    )
+
+        cmds["build_exe"] = cmd_build_exe
+        del cmds["build_py"]
+
+    if "py2exe" in sys.modules:  # py2exe enabled?
+        from py2exe.distutils_buildexe import py2exe as _py2exe
+
+        class cmd_py2exe(_py2exe):
+            def run(self):
+                root = get_root()
+                cfg = get_config_from_root(root)
+                versions = get_versions()
+                target_versionfile = cfg.versionfile_source
+                print("UPDATING %s" % target_versionfile)
+                write_to_version_file(target_versionfile, versions)
+
+                _py2exe.run(self)
+                os.unlink(target_versionfile)
+                with open(cfg.versionfile_source, "w") as f:
+                    LONG = LONG_VERSION_PY[cfg.VCS]
+                    f.write(
+                        LONG
+                        % {
+                            "DOLLAR": "$",
+                            "STYLE": cfg.style,
+                            "TAG_PREFIX": cfg.tag_prefix,
+                            "PARENTDIR_PREFIX": cfg.parentdir_prefix,
+                            "VERSIONFILE_SOURCE": cfg.versionfile_source,
+                        }
+                    )
+
+        cmds["py2exe"] = cmd_py2exe
+
+    # sdist farms its file list building out to egg_info
+    if "egg_info" in cmds:
+        _sdist = cmds["egg_info"]
+    else:
+        from setuptools.command.egg_info import egg_info as _egg_info
+
+    class cmd_egg_info(_egg_info):
+        def find_sources(self):
+            # egg_info.find_sources builds the manifest list and writes it
+            # in one shot
+            super().find_sources()
+
+            # Modify the filelist and normalize it
+            root = get_root()
+            cfg = get_config_from_root(root)
+            self.filelist.append("versioneer.py")
+            if cfg.versionfile_source:
+                # There are rare cases where versionfile_source might not be
+                # included by default, so we must be explicit
+                self.filelist.append(cfg.versionfile_source)
+            self.filelist.sort()
+            self.filelist.remove_duplicates()
+
+            # The write method is hidden in the manifest_maker instance that
+            # generated the filelist and was thrown away
+            # We will instead replicate their final normalization (to unicode,
+            # and POSIX-style paths)
+            from setuptools import unicode_utils
+
+            normalized = [
+                unicode_utils.filesys_decode(f).replace(os.sep, "/") for f in self.filelist.files
+            ]
+
+            manifest_filename = os.path.join(self.egg_info, "SOURCES.txt")
+            with open(manifest_filename, "w") as fobj:
+                fobj.write("\n".join(normalized))
+
+    cmds["egg_info"] = cmd_egg_info
+
+    # we override different "sdist" commands for both environments
+    if "sdist" in cmds:
+        _sdist = cmds["sdist"]
+    else:
+        from setuptools.command.sdist import sdist as _sdist
+
+    class cmd_sdist(_sdist):
+        def run(self):
+            versions = get_versions()
+            self._versioneer_generated_versions = versions
+            # unless we update this, the command will keep using the old
+            # version
+            self.distribution.metadata.version = versions["version"]
+            return _sdist.run(self)
+
+        def make_release_tree(self, base_dir, files):
+            root = get_root()
+            cfg = get_config_from_root(root)
+            _sdist.make_release_tree(self, base_dir, files)
+            # now locate _version.py in the new base_dir directory
+            # (remembering that it may be a hardlink) and replace it with an
+            # updated value
+            target_versionfile = os.path.join(base_dir, cfg.versionfile_source)
+            print("UPDATING %s" % target_versionfile)
+            write_to_version_file(target_versionfile, self._versioneer_generated_versions)
+
+    cmds["sdist"] = cmd_sdist
+
+    return cmds
+
+
+CONFIG_ERROR = """
+setup.cfg is missing the necessary Versioneer configuration. You need
+a section like:
+
+ [versioneer]
+ VCS = git
+ style = pep440
+ versionfile_source = src/myproject/_version.py
+ versionfile_build = myproject/_version.py
+ tag_prefix =
+ parentdir_prefix = myproject-
+
+You will also need to edit your setup.py to use the results:
+
+ import versioneer
+ setup(version=versioneer.get_version(),
+       cmdclass=versioneer.get_cmdclass(), ...)
+
+Please read the docstring in ./versioneer.py for configuration instructions,
+edit setup.cfg, and re-run the installer or 'python versioneer.py setup'.
+"""
+
+SAMPLE_CONFIG = """
+# See the docstring in versioneer.py for instructions. Note that you must
+# re-run 'versioneer.py setup' after changing this section, and commit the
+# resulting files.
+
+[versioneer]
+#VCS = git
+#style = pep440
+#versionfile_source =
+#versionfile_build =
+#tag_prefix =
+#parentdir_prefix =
+
+"""
+
+OLD_SNIPPET = """
+from ._version import get_versions
+__version__ = get_versions()['version']
+del get_versions
+"""
+
+INIT_PY_SNIPPET = """
+from . import {0}
+__version__ = {0}.get_versions()['version']
+"""
+
+
+def do_setup():
+    """Do main VCS-independent setup function for installing Versioneer."""
+    root = get_root()
+    try:
+        cfg = get_config_from_root(root)
+    except (OSError, configparser.NoSectionError, configparser.NoOptionError) as e:
+        if isinstance(e, (OSError, configparser.NoSectionError)):
+            print("Adding sample versioneer config to setup.cfg", file=sys.stderr)
+            with open(os.path.join(root, "setup.cfg"), "a") as f:
+                f.write(SAMPLE_CONFIG)
+        print(CONFIG_ERROR, file=sys.stderr)
+        return 1
+
+    print(" creating %s" % cfg.versionfile_source)
+    with open(cfg.versionfile_source, "w") as f:
+        LONG = LONG_VERSION_PY[cfg.VCS]
+        f.write(
+            LONG
+            % {
+                "DOLLAR": "$",
+                "STYLE": cfg.style,
+                "TAG_PREFIX": cfg.tag_prefix,
+                "PARENTDIR_PREFIX": cfg.parentdir_prefix,
+                "VERSIONFILE_SOURCE": cfg.versionfile_source,
+            }
+        )
+
+    ipy = os.path.join(os.path.dirname(cfg.versionfile_source), "__init__.py")
+    if os.path.exists(ipy):
+        try:
+            with open(ipy, "r") as f:
+                old = f.read()
+        except OSError:
+            old = ""
+        module = os.path.splitext(os.path.basename(cfg.versionfile_source))[0]
+        snippet = INIT_PY_SNIPPET.format(module)
+        if OLD_SNIPPET in old:
+            print(" replacing boilerplate in %s" % ipy)
+            with open(ipy, "w") as f:
+                f.write(old.replace(OLD_SNIPPET, snippet))
+        elif snippet not in old:
+            print(" appending to %s" % ipy)
+            with open(ipy, "a") as f:
+                f.write(snippet)
+        else:
+            print(" %s unmodified" % ipy)
+    else:
+        print(" %s doesn't exist, ok" % ipy)
+        ipy = None
+
+    # Make VCS-specific changes. For git, this means creating/changing
+    # .gitattributes to mark _version.py for export-subst keyword
+    # substitution.
+    do_vcs_install(cfg.versionfile_source, ipy)
+    return 0
+
+
+def scan_setup_py():
+    """Validate the contents of setup.py against Versioneer's expectations."""
+    found = set()
+    setters = False
+    errors = 0
+    with open("setup.py", "r") as f:
+        for line in f.readlines():
+            if "import versioneer" in line:
+                found.add("import")
+            if "versioneer.get_cmdclass()" in line:
+                found.add("cmdclass")
+            if "versioneer.get_version()" in line:
+                found.add("get_version")
+            if "versioneer.VCS" in line:
+                setters = True
+            if "versioneer.versionfile_source" in line:
+                setters = True
+    if len(found) != 3:
+        print("")
+        print("Your setup.py appears to be missing some important items")
+        print("(but I might be wrong). Please make sure it has something")
+        print("roughly like the following:")
+        print("")
+        print(" import versioneer")
+        print(" setup( version=versioneer.get_version(),")
+        print("        cmdclass=versioneer.get_cmdclass(),  ...)")
+        print("")
+        errors += 1
+    if setters:
+        print("You should remove lines like 'versioneer.VCS = ' and")
+        print("'versioneer.versionfile_source = ' . This configuration")
+        print("now lives in setup.cfg, and should be removed from setup.py")
+        print("")
+        errors += 1
+    return errors
+
+
+if __name__ == "__main__":
+    cmd = sys.argv[1]
+    if cmd == "setup":
+        errors = do_setup()
+        errors += scan_setup_py()
+        if errors:
+            sys.exit(1)