From 260c45bbb74ecc11d1e24f7cab72fe138bf9eea2 Mon Sep 17 00:00:00 2001 From: PrivacyGo Date: Tue, 23 Jan 2024 16:16:14 +0800 Subject: [PATCH] feat: add AnonPSI. --- .pre-commit-config.yaml | 13 + .style.yapf | 397 +++++++++++++++++++++++++++ README.md | 3 + anonpsi/README.md | 101 +++++++ anonpsi/images/Ads_neg.png | Bin 0 -> 139039 bytes anonpsi/images/Ads_pos.png | Bin 0 -> 131305 bytes anonpsi/images/Ads_tot.png | Bin 0 -> 153385 bytes anonpsi/images/Neg_Taobao.png | Bin 0 -> 133919 bytes anonpsi/images/Online_PSI_CA.png | Bin 0 -> 132736 bytes anonpsi/images/Pos_Online_PSI_CA.png | Bin 0 -> 132748 bytes anonpsi/images/Pos_Taobao20.png | Bin 0 -> 132797 bytes anonpsi/images/Tot_Taobao20.png | Bin 0 -> 152346 bytes anonpsi/images/model.png | Bin 0 -> 92671 bytes anonpsi/requirements.txt | 2 + anonpsi/src/actbayesian.py | 149 ++++++++++ anonpsi/src/baseline.py | 95 +++++++ anonpsi/src/dynpathblizer.py | 111 ++++++++ anonpsi/src/dynpathblizer_params.py | 121 ++++++++ anonpsi/src/improved_baseline.py | 103 +++++++ anonpsi/src/sum_only.py | 107 ++++++++ anonpsi/src/test.py | 154 +++++++++++ anonpsi/src/treesumexplorer.py | 228 +++++++++++++++ anonpsi/src/utils.py | 180 ++++++++++++ 23 files changed, 1764 insertions(+) create mode 100644 .style.yapf create mode 100644 anonpsi/README.md create mode 100644 anonpsi/images/Ads_neg.png create mode 100644 anonpsi/images/Ads_pos.png create mode 100644 anonpsi/images/Ads_tot.png create mode 100644 anonpsi/images/Neg_Taobao.png create mode 100644 anonpsi/images/Online_PSI_CA.png create mode 100644 anonpsi/images/Pos_Online_PSI_CA.png create mode 100644 anonpsi/images/Pos_Taobao20.png create mode 100644 anonpsi/images/Tot_Taobao20.png create mode 100644 anonpsi/images/model.png create mode 100644 anonpsi/requirements.txt create mode 100644 anonpsi/src/actbayesian.py create mode 100644 anonpsi/src/baseline.py create mode 100644 anonpsi/src/dynpathblizer.py create mode 100644 anonpsi/src/dynpathblizer_params.py create mode 100644 anonpsi/src/improved_baseline.py create mode 100644 anonpsi/src/sum_only.py create mode 100644 anonpsi/src/test.py create mode 100644 anonpsi/src/treesumexplorer.py create mode 100644 anonpsi/src/utils.py diff --git a/.pre-commit-config.yaml b/.pre-commit-config.yaml index 1a5615d..c07dc28 100644 --- a/.pre-commit-config.yaml +++ b/.pre-commit-config.yaml @@ -1,3 +1,5 @@ +default_language_version: + python: python3 repos: - repo: https://github.com/pre-commit/pre-commit-hooks rev: v4.4.0 @@ -15,3 +17,14 @@ repos: rev: v16.0.0 hooks: - id: clang-format + files: \.(cpp|h)$ + args: ["-i"] + - repo: https://github.com/google/yapf/ + rev: v0.40.2 + hooks: + - id: yapf + name: yapf + language: python + entry: yapf + args: ["--style=.style.yapf", "-i"] + types: [python] diff --git a/.style.yapf b/.style.yapf new file mode 100644 index 0000000..ecc2642 --- /dev/null +++ b/.style.yapf @@ -0,0 +1,397 @@ +[style] +# Align closing bracket with visual indentation. +align_closing_bracket_with_visual_indent=False + +# Allow dictionary keys to exist on multiple lines. For example: +# +# x = { +# ('this is the first element of a tuple', +# 'this is the second element of a tuple'): +# value, +# } +allow_multiline_dictionary_keys=False + +# Allow lambdas to be formatted on more than one line. +allow_multiline_lambdas=False + +# Allow splitting before a default / named assignment in an argument list. +allow_split_before_default_or_named_assigns=True + +# Allow splits before the dictionary value. +allow_split_before_dict_value=True + +# Let spacing indicate operator precedence. For example: +# +# a = 1 * 2 + 3 / 4 +# b = 1 / 2 - 3 * 4 +# c = (1 + 2) * (3 - 4) +# d = (1 - 2) / (3 + 4) +# e = 1 * 2 - 3 +# f = 1 + 2 + 3 + 4 +# +# will be formatted as follows to indicate precedence: +# +# a = 1*2 + 3/4 +# b = 1/2 - 3*4 +# c = (1+2) * (3-4) +# d = (1-2) / (3+4) +# e = 1*2 - 3 +# f = 1 + 2 + 3 + 4 +# +arithmetic_precedence_indication=False + +# Number of blank lines surrounding top-level function and class +# definitions. +blank_lines_around_top_level_definition=2 + +# Number of blank lines between top-level imports and variable +# definitions. +blank_lines_between_top_level_imports_and_variables=1 + +# Insert a blank line before a class-level docstring. +blank_line_before_class_docstring=False + +# Insert a blank line before a module docstring. +blank_line_before_module_docstring=False + +# Insert a blank line before a 'def' or 'class' immediately nested +# within another 'def' or 'class'. For example: +# +# class Foo: +# # <------ this blank line +# def method(): +# ... +blank_line_before_nested_class_or_def=True + +# Do not split consecutive brackets. Only relevant when +# dedent_closing_brackets is set. For example: +# +# call_func_that_takes_a_dict( +# { +# 'key1': 'value1', +# 'key2': 'value2', +# } +# ) +# +# would reformat to: +# +# call_func_that_takes_a_dict({ +# 'key1': 'value1', +# 'key2': 'value2', +# }) +coalesce_brackets=False + +# The column limit. +column_limit=120 + +# The style for continuation alignment. Possible values are: +# +# - SPACE: Use spaces for continuation alignment. This is default behavior. +# - FIXED: Use fixed number (CONTINUATION_INDENT_WIDTH) of columns +# (ie: CONTINUATION_INDENT_WIDTH/INDENT_WIDTH tabs or +# CONTINUATION_INDENT_WIDTH spaces) for continuation alignment. +# - VALIGN-RIGHT: Vertically align continuation lines to multiple of +# INDENT_WIDTH columns. Slightly right (one tab or a few spaces) if +# cannot vertically align continuation lines with indent characters. +continuation_align_style=SPACE + +# Indent width used for line continuations. +continuation_indent_width=4 + +# Put closing brackets on a separate line, dedented, if the bracketed +# expression can't fit in a single line. Applies to all kinds of brackets, +# including function definitions and calls. For example: +# +# config = { +# 'key1': 'value1', +# 'key2': 'value2', +# } # <--- this bracket is dedented and on a separate line +# +# time_series = self.remote_client.query_entity_counters( +# entity='dev3246.region1', +# key='dns.query_latency_tcp', +# transform=Transformation.AVERAGE(window=timedelta(seconds=60)), +# start_ts=now()-timedelta(days=3), +# end_ts=now(), +# ) # <--- this bracket is dedented and on a separate line +dedent_closing_brackets=False + +# Disable the heuristic which places each list element on a separate line +# if the list is comma-terminated. +disable_ending_comma_heuristic=False + +# Place each dictionary entry onto its own line. +each_dict_entry_on_separate_line=True + +# Require multiline dictionary even if it would normally fit on one line. +# For example: +# +# config = { +# 'key1': 'value1' +# } +force_multiline_dict=False + +# The regex for an i18n comment. The presence of this comment stops +# reformatting of that line, because the comments are required to be +# next to the string they translate. +i18n_comment=#\..* + +# The i18n function call names. The presence of this function stops +# reformattting on that line, because the string it has cannot be moved +# away from the i18n comment. +i18n_function_call=N_, _ + +# Indent blank lines. +indent_blank_lines=False + +# Put closing brackets on a separate line, indented, if the bracketed +# expression can't fit in a single line. Applies to all kinds of brackets, +# including function definitions and calls. For example: +# +# config = { +# 'key1': 'value1', +# 'key2': 'value2', +# } # <--- this bracket is indented and on a separate line +# +# time_series = self.remote_client.query_entity_counters( +# entity='dev3246.region1', +# key='dns.query_latency_tcp', +# transform=Transformation.AVERAGE(window=timedelta(seconds=60)), +# start_ts=now()-timedelta(days=3), +# end_ts=now(), +# ) # <--- this bracket is indented and on a separate line +indent_closing_brackets=False + +# Indent the dictionary value if it cannot fit on the same line as the +# dictionary key. For example: +# +# config = { +# 'key1': +# 'value1', +# 'key2': value1 + +# value2, +# } +indent_dictionary_value=True + +# The number of columns to use for indentation. +indent_width=4 + +# Join short lines into one line. E.g., single line 'if' statements. +join_multiple_lines=False + +# Do not include spaces around selected binary operators. For example: +# +# 1 + 2 * 3 - 4 / 5 +# +# will be formatted as follows when configured with "*,/": +# +# 1 + 2*3 - 4/5 +no_spaces_around_selected_binary_operators= + +# Use spaces around default or named assigns. +spaces_around_default_or_named_assign=False + +# Adds a space after the opening '{' and before the ending '}' dict delimiters. +# +# {1: 2} +# +# will be formatted as: +# +# { 1: 2 } +spaces_around_dict_delimiters=False + +# Adds a space after the opening '[' and before the ending ']' list delimiters. +# +# [1, 2] +# +# will be formatted as: +# +# [ 1, 2 ] +spaces_around_list_delimiters=False + +# Use spaces around the power operator. +spaces_around_power_operator=False + +# Use spaces around the subscript / slice operator. For example: +# +# my_list[1 : 10 : 2] +spaces_around_subscript_colon=False + +# Adds a space after the opening '(' and before the ending ')' tuple delimiters. +# +# (1, 2, 3) +# +# will be formatted as: +# +# ( 1, 2, 3 ) +spaces_around_tuple_delimiters=False + +# The number of spaces required before a trailing comment. +# This can be a single value (representing the number of spaces +# before each trailing comment) or list of values (representing +# alignment column values; trailing comments within a block will +# be aligned to the first column value that is greater than the maximum +# line length within the block). For example: +# +# With spaces_before_comment=5: +# +# 1 + 1 # Adding values +# +# will be formatted as: +# +# 1 + 1 # Adding values <-- 5 spaces between the end of the statement and comment +# +# With spaces_before_comment=15, 20: +# +# 1 + 1 # Adding values +# two + two # More adding +# +# longer_statement # This is a longer statement +# short # This is a shorter statement +# +# a_very_long_statement_that_extends_beyond_the_final_column # Comment +# short # This is a shorter statement +# +# will be formatted as: +# +# 1 + 1 # Adding values <-- end of line comments in block aligned to col 15 +# two + two # More adding +# +# longer_statement # This is a longer statement <-- end of line comments in block aligned to col 20 +# short # This is a shorter statement +# +# a_very_long_statement_that_extends_beyond_the_final_column # Comment <-- the end of line comments are aligned based on the line length +# short # This is a shorter statement +# +spaces_before_comment=2 + +# Insert a space between the ending comma and closing bracket of a list, +# etc. +space_between_ending_comma_and_closing_bracket=False + +# Use spaces inside brackets, braces, and parentheses. For example: +# +# method_call( 1 ) +# my_dict[ 3 ][ 1 ][ get_index( *args, **kwargs ) ] +# my_set = { 1, 2, 3 } +space_inside_brackets=False + +# Split before arguments +split_all_comma_separated_values=False + +# Split before arguments, but do not split all subexpressions recursively +# (unless needed). +split_all_top_level_comma_separated_values=False + +# Split before arguments if the argument list is terminated by a +# comma. +split_arguments_when_comma_terminated=False + +# Set to True to prefer splitting before '+', '-', '*', '/', '//', or '@' +# rather than after. +split_before_arithmetic_operator=False + +# Set to True to prefer splitting before '&', '|' or '^' rather than +# after. +split_before_bitwise_operator=False + +# Split before the closing bracket if a list or dict literal doesn't fit on +# a single line. +split_before_closing_bracket=True + +# Split before a dictionary or set generator (comp_for). For example, note +# the split before the 'for': +# +# foo = { +# variable: 'Hello world, have a nice day!' +# for variable in bar if variable != 42 +# } +split_before_dict_set_generator=False + +# Split before the '.' if we need to split a longer expression: +# +# foo = ('This is a really long string: {}, {}, {}, {}'.format(a, b, c, d)) +# +# would reformat to something like: +# +# foo = ('This is a really long string: {}, {}, {}, {}' +# .format(a, b, c, d)) +split_before_dot=False + +# Split after the opening paren which surrounds an expression if it doesn't +# fit on a single line. +split_before_expression_after_opening_paren=False + +# If an argument / parameter list is going to be split, then split before +# the first argument. +split_before_first_argument=False + +# Set to True to prefer splitting before 'and' or 'or' rather than +# after. +split_before_logical_operator=False + +# Split named assignments onto individual lines. +split_before_named_assigns=True + +# Set to True to split list comprehensions and generators that have +# non-trivial expressions and multiple clauses before each of these +# clauses. For example: +# +# result = [ +# a_long_var + 100 for a_long_var in xrange(1000) +# if a_long_var % 10] +# +# would reformat to something like: +# +# result = [ +# a_long_var + 100 +# for a_long_var in xrange(1000) +# if a_long_var % 10] +split_complex_comprehension=True + +# The penalty for splitting right after the opening bracket. +split_penalty_after_opening_bracket=300 + +# The penalty for splitting the line after a unary operator. +split_penalty_after_unary_operator=10000 + +# The penalty of splitting the line around the '+', '-', '*', '/', '//', +# ``%``, and '@' operators. +split_penalty_arithmetic_operator=300 + +# The penalty for splitting right before an if expression. +split_penalty_before_if_expr=0 + +# The penalty of splitting the line around the '&', '|', and '^' +# operators. +split_penalty_bitwise_operator=300 + +# The penalty for splitting a list comprehension or generator +# expression. +split_penalty_comprehension=2100 + +# The penalty for characters over the column limit. +split_penalty_excess_character=7000 + +# The penalty incurred by adding a line split to the unwrapped line. The +# more line splits added the higher the penalty. +split_penalty_for_added_line_split=30 + +# The penalty of splitting a list of "import as" names. For example: +# +# from a_very_long_or_indented_module_name_yada_yad import (long_argument_1, +# long_argument_2, +# long_argument_3) +# +# would reformat to something like: +# +# from a_very_long_or_indented_module_name_yada_yad import ( +# long_argument_1, long_argument_2, long_argument_3) +split_penalty_import_names=0 + +# The penalty of splitting the line around the 'and' and 'or' +# operators. +split_penalty_logical_operator=300 + +# Use the Tab character for indentation. +use_tabs=False diff --git a/README.md b/README.md index 2f7999c..127e256 100644 --- a/README.md +++ b/README.md @@ -20,6 +20,9 @@ Secure multiparty computation (MPC) is a desired tool to provide privacy to the MPC-DualDP is a distributed protocol for generating shared differential privacy noise in a two-server setting. MPC-DualDP leverages MPC to sample random noise according to specific distributions, and outputs the noise in the form of secret sharing. For more detailed information, please refer to [this folder](./mpc-dualdp). +## AnonPSI +The widely used ECDH-PSI, while keeping all data encrypted, discloses the size of the intersection set during protocol execution. We refer to such protocols as size-revealing PSI. AnonPSI offers a framework for systematically assessing the privacy of intersection-size-revealing PSI protocols by employing carefully designed set membership inference attacks. It enables an adversary to infer whether a targeted individual is in the intersection, which is also known as membership information. For more detailed information, please refer to [this folder](./anonpsi). AnonPSI was recently accepted for NDSS24, and we look forward to engaging in discussions during the offline sessions at NDSS. + ## Contribution Please check [Contributing](CONTRIBUTING.md) for more details. diff --git a/anonpsi/README.md b/anonpsi/README.md new file mode 100644 index 0000000..34fdb65 --- /dev/null +++ b/anonpsi/README.md @@ -0,0 +1,101 @@ +# AnonPSI: An Anonymity Assessment Framework for PSI + +## Size-revealing Private Join and Compute + +Private Set Intersection (PSI) is a cryptographic method that allows two parties compare encrypted versions of their sets to compute the intersection without disclosing any input information. In many applications of PSI [5,6], the objective isn't necessarily computing the intersection itself but rather functions based on the items within the intersection. Specifically, following the encrypted PSI results, downstream computation can be performed using general-purpose (MPC) protocols for statistical analysis. This process is commonly known as PSI and Compute or, alternatively, Private Join and Compute. A variety of Private Join and Compute protocols have been developed in academia and deployed in the industry. In particular, ECDH-PSI protocols are the most common in the industry due to their ease of use and capacity to handle large datasets with low communication overhead. + +It is worth noting that ECDH-PSI, while keeping all data encrypted, discloses the size of the intersection set during protocol execution. We refer to such protocols as **size-revealing PSI**, which also include PSI protocols constructed through other cryptographic primitives such as homomorphic encryption and oblivious pseudorandom function. The disclosure of the intersection size can introduce vulnerabilities. It enables an adversary to infer whether a targeted individual is in the intersection or not, which is also known as the membership information. Notably, individuals who intersect with the other party's set are classified as positive members, while those outside the intersection are classified as negative members. Depending on the application context, either or both of these positive/negative memberships can be sensitive from a privacy-preserving perspective [7]. + +## [AnonPSI](https://arxiv.org/pdf/2311.18118.pdf): Assessing PSI Privacy through Set Membership Inference Attacks + +### What is AnonPSI? + +AnonPSI [1] efficiently evaluates privacy in intersection-size-revealing PSI protocols through a robust implementation of set membership inference attacks. Considering the limitation of PSI protocol runs, AnonPSI strategically selects a subset of the target dataset as PSI protocol input. It infers user membership from observed results, employing a depth-first search principle on a hierarchical structure. Each iteration's input is a subset of the previous one. AnonPSI is designed to determine the optimal input size for the current iteration, considering factors like previous input sizes, iteration outcomes, and protocol run restrictions. + +#### DyPathBlazer: A bottom-up dynamic programming solution + +DyPathBlazer optimizes the input size by maximizing the expected number of individuals' membership inferred within the total protocol run limitations. To achieve so, DyPathBlazer calculates an offline optimal input-size lookup table with three parameters: previous input size, previous positive membership number, and current protocol run budget. For more details about the algorithm, please refer to our research paper in [1] . + + +#### TreeSumExplorer: An N-SUM Guided Approach for PSI-SUM + +Another algorithm included in AnonPSI, designed for evaluating PSI-SUM [5], is TreeSumExploer. Due to the specific architecture that releases the summation of intersected inputs, PSI-SUM introduces more vulnerabilities, as the adversary can combine both the summation and the intersection size for more effective attacks. TreeSumExplorer provides a feasible offline N-SUM solution that aids in better determining each individual's membership in the subset. Note that the optimal algorithm addressing the N-SUM problem incurs exponentially growing computational complexity with the size of the input. Effectively selecting the input size involves a trade-off between computation cost and the number of memberships inferred in each round. For more details about the algorithm, please refer to our research paper in [1] . + +## AnonPSI's Performance + +We showcase the performace of AnonPSI with two public avaiable datasets corresponding to offline setting and online setting respectively: Taobao dataset [3] and the COVID-19 dataset [4]. We compare performance with the existing attack algorithms proposed by Guo [2]. For more details of the data sets and experiments settings, please refer to our research paper in [1] . + +The offline attack evaluations are shown in Fig. 1, where the membership leakage percentages using different attacks are compared according to different protocols' call limitations. Further, we consider two subcases when the adversary is only interested in the identity of individuals in the intersection or those who are not in the intersection, respectively. + +
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Fig. 1. Membership information leakages in PSI-SUM under different attacks. Column 1 displays the overall membership leakage, while Column 2 represents positive membership leakage, and Column 3 represents negative membership leakage. The first row corresponds to cases where the product company targets the advertising company, and the second row corresponds to cases where the advertising company targets the product company.
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+ +For the COVID-19 dataset, it is assumed that Party A in PSI protocol is a local community that provides COVID testing services. Party B is the Lab that processes the testing results. It is assumed that Party B directly publishes testing results to each individual, so Party A is unclear which individual tests positive for COVID. On the other hand, Party A keeps monitoring the trend of total positive individuals in the community and is also interested in inferring the identity of each positive individual for targeted control. Party A calls for a PSI protocol with Party B daily. We evaluate different attacks for PSI protocol by comparing the total number of positive individuals they infer according to the testing timeline. The evaluations are shown in Fig. 2. Note that we slightly modified the DyPathBlazer to estimate and maximize only the expected number of positive members. The dataset is assumed to be updated daily but stays the same for one day. Party A's maximal protocol call limit is 10 times per day. Observe that our DyPathBlazer achieves significantly higher efficiency compared to the Guo et al. + +
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Fig. 2. Membership information leakages in PSI under different attacks. Subcase (a) showing total membership leakage (positive member + negative member); (b) showing positive membership leakage only.
+
+ +## How to Use AnonPSI + +### Repository Structure + +The `src` folder contains the following files: +- `utils.py`: defines basic functions used throughout the projects. +- `baseline.py`: baseline algorithm from USENIX22. +- `improved_baseline.py`: improved baseline algorithm, which leverages both positive and negative memberships. +- **`dynpathblizer.py`**: the dypathblizer algorithm based on dynamic programming. +- `dynpathblizer_params.py`: the memo generting functions in the dypathblizer algorithm. +- `actbayesian.py`: statistical attack actbayesian algorithm. +- **`treesumexpolorer.py`**: the treesumexplorer algorithm which is based on an offline N sum problem. +- `sum_only.py`: improved baseline algorithm based on sum information only. +- `test.py`: runs all algorithms in this repo and compare their performance under given parameters. + +### Requirements +- Python3 +- Install all dependencies via `python3 -m pip install -r requirements.txt` + +### Compare among different algorithms + +Here we give a simple example to compare all algorithms' performance with synthetic datasets. You can run it via `python3 test.py`. +If you want to perform attacks on a real dataset, please replace `victim_x` and `target_y` with your real inputs. + +``` + [victim_x, target_y, _] = utils.gen_dummy_set( + victim_set_size, target_set_size, dummy_set_size, dense, interserction_cardinality) +``` + +## License + +AnonPSI is Apache-2.0 License licensed, as found in the [LICENSE](../LICENSE) file. + +## Disclaimers + +This software is not an officially supported product of TikTok. It is provided as-is, without any guarantees or warranties, whether express or implied. + +## Reference + +[1] Jiang, Bo et al. “AnonPSI: An Anonymity Assessment Framework for PSI.” ArXiv abs/2311.18118 (2023): n. pag. url-https://arxiv.org/pdf/2311.18118.pdf + +[2] Guo, Xiaojie et al. “Birds of a Feather Flock Together: How Set Bias Helps to Deanonymize You via Revealed Intersection Sizes.” USENIX Security Symposium (2022). + +[3] Tianchi. Taobao display advertisement click-through rate prediction dataset, from https://tianchi.aliyun.com/dataset/datadetail?dataid=56, 2018. + +[4] Machine learning-based prediction of covid-19 diagnosis based on symptoms, from https://github.com/nshomron/covidpred. + +[5] Mihaela Ion, Ben Kreuter, Ahmet Erhan Nergiz, Sarvar Patel, Shobhit Saxena, Karn Seth, Mariana Raykova, David Shanahan, and Moti Yung. On deploying secure computing: Private intersection-sum-with- cardinality. In 2020 IEEE European Symposium on Security and Privacy (EuroS& P), pages 370–389, 2020. + +[6] Prasad Buddhavarapu, Andrew Knox, Payman Mohassel, Shubho Sen- gupta, Erik Taubeneck, and Vlad Vlaskin. Private matching for compute. Cryptology ePrint Archive, Paper 2020/599, 2020. url- https://eprint.iacr.org/2020/599. + +[7] https://github.com/tiktok-privacy-innovation/PrivacyGo/tree/main/dpca-psi diff --git a/anonpsi/images/Ads_neg.png b/anonpsi/images/Ads_neg.png new file mode 100644 index 0000000000000000000000000000000000000000..03a6db3231bfd6ed097ef482227dfc4bcc086611 GIT binary patch literal 139039 zcmeFZcRba9A3xmbl#`58W~f892xXO>Br`G!S=maIy`2grloi=zC7ZHWM2PIYSIFL* z-|O^UbzRr*zOKLSKkmo^Rge0{u?Zd@liPJR5)p+iJ6(vr%D z4&kLAI&}2xvBU72=!+UE@PhwPTEqI#Ax;L|{|JXfF}p*DF)cEZS5zG$XQNQ+WL^8^ zM~_qw-k&|cP7;5Ul!p0-A2V~vcydkZyXkOKt2u|vqXr8B&r3I6(7ii(Hbjp>^2!xS zq_jW%y+er{yG^$H(at$Wc6Rn5VV8FtV_aQqHk`M^dZM~`tY47h*74VW4#{s?$^ZHR z_u75NLHw7WH&K`qzx=rW74%7bsm;SLE|L<*+62@Y%WcusF#o;SL z0 zd!cDF+NQ_PQ~&eUhlhk?(>**rFAE9vbs+cG`z#aXLX*NmIW(+xH<$YI9tb@guBh}R zkkK%2A!WG{oNfBgwH2sEEPp^yP}|#U1Xn8fEC>5B7^UR4j}Q7nzW2ke6x%Q4AdVhA zy7IlzKuu3iFIFoN`Onp&Skwpa>9%BoAL$kYMLX+rxzAAjWv)UyC&WeYrMF-uX6j!< 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