From fa9e3d88632e527b56ffcffc3b50b03fa28d7501 Mon Sep 17 00:00:00 2001 From: jrvvv Date: Thu, 7 Mar 2024 01:55:29 +0300 Subject: [PATCH] complete part 1 and 2 in PL2 --- P01/PL01.ipynb | 3 +- P02/PL02.ipynb | 583 +++++++++++++++++++++++++++++++++++++++++++++++++ 2 files changed, 584 insertions(+), 2 deletions(-) create mode 100644 P02/PL02.ipynb diff --git a/P01/PL01.ipynb b/P01/PL01.ipynb index 3be5050..c651f30 100644 --- a/P01/PL01.ipynb +++ b/P01/PL01.ipynb @@ -959,7 +959,6 @@ "C_list.reverse()\n", "C_inv = int(\"\".join(str(x) for x in C_list), 2)\n", "\n", - "\n", "out_reg = []\n", "shift_buf = 0\n", "\n", @@ -987,7 +986,7 @@ " shift_buf = C[c_i] ^ sh_reg[sh_i]\n", " out_reg.append(C[c_i] ^ sh_reg[sh_i])\n", "\n", - "\n", + "# inverting to levels like in WH code\n", "for i in range(0, len(out_reg)):\n", " if out_reg[i] == 0:\n", " out_reg[i] = 1\n", diff --git a/P02/PL02.ipynb b/P02/PL02.ipynb new file mode 100644 index 0000000..a506236 --- /dev/null +++ b/P02/PL02.ipynb @@ -0,0 +1,583 @@ +{ + "cells": [ + { + "attachments": { + "image.png": { + "image/png": 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/Qp/WwBaDGWd+grFkjHk2ISOsrjZEz5GYeIuTf/8D/vb1BUL7Ps1jTx7h0PYWalbp5iyF4g8T7PEQconIgJ6eJhGNEsl42bprIy6rCaO9jjp73a3n84eHXsmhRi/wyo//lmODBpSOAzzy1Kd5em8jNvFO1MiYsPua2PXEVvxOA5Iwz5W5NKMzAq2PGzAa5pleKJIVoWkldRwGCdEgYizmKGoa6potHr1MpZRgeDiGwRnA4/GwiKX1HpqOruu3noSSHdlhp/NdI6ZCMhFnaGiCXOvnaPPaCKyoYOVGB4LAyoJoALqOtpb9soKAuFxnognB2kbLu96hSj6bov/iVVKhz1MX9FKn3P4Q1gX97WfIEhkOQNMqlEsFCsXiKvdvqSjFMmVVQzAYMAdD76Z9S/EoyQu9JGr+FQazHUMsSm4uxrzJxuojOtqNMZYr6LIVi82GxWREEnQ0DYRVxHFujYzD5cXheu8/ldkJolMpIoYWPr/NjsVyGzKha+hqiVJJQ5StWOxWrBYjBl1D1wT0lQaPb4VkRbFZCb/zd2aAiUSCoVyIA1YNpTxCJFlEMxmxrrgfARB4566uUXgylIsjXB/XcRyqwetxL9GgALIFxahR1CqUSsvvX0dPsTAfYXA0Tbi7h5DdtrIgql6iXBbQMWJaQXpAz80xP36Zf3z5GguqTmWVwWVRcWCs2cmn9zXhcywR47mp4yzZ9DQXL0dxdbQT9nrWKTO1BgxGDEYjJrFMqaChLlodLmKv3USPp5m2krZKV0vAIJtRzB+qMtGzzEXmOH0iSs1n3FjsEqVIkmQ8TlxdrTsHiE5CG47w9L/t4UB8kitnTnD+mRMcE8M073qITz28k0aHxJ2NnWssTEwSmS+Qr9vK9qCI5TbeQEFxYmw4wpf/w3YemR5g4HIv55/5Y372lyG2H/0UD+3ppCPsuENFnTqpy73MRkskw7vwChpCbo75+Qy6VaWykhYqFVRVpWwyYxIFJGGNwqOXMpTi44zEnbiDHrwe862lRDCA5MVlq5BSi2QyOvhvvkjQ0TTxhmIXIsTnphiasdL2dDtOmxkDOqXoJPNjA1wJHuC+gITrw5FVLU2+KKJiw+MRl1V/wSAhmaw4HHY0VV91cFlQbMg2EwZxudXrQ9dXipOZH+bCsEzo4Sa8bgcSOpX0PKkrJ+gL7qc16Lh13OyjQLQgm6x47GlSaZVSefEFxCCbschmlnH/V4yeHmZ67Dqvj3nZ22DCZhYpFgosJBLMqwtU3k6vr/xOSRjNTjy1NtyBAHarm5q2KaamZ5mLvMazf/ES1oZuNm3dQnd7HWHbbSbm37YQRVEEPcf0+BSRZBlbczsdCigi6PlhxiazjM0H2Lc7uHycSjAgKE58tQ5cbgcub4hQ0wTTs3PMTPya5wZe5Xiwlc4t29jV04hTYnXB5fdGD9ocfeeHmI4F8BwMI+s6ZFNk43GK7hxpjeVrFgoFKoUSOVcdHklEWbPw5DIUJscZL4fZE3LiWaqCVZBAqiHoU5nUciwkKtD8/hFXyM6NMHrhNG9Em9n70CZChXFmRycYK7rpbvRgNkkIlRsFXX190xQCGtpioaJ8nFTBiCp7CHsNy09GyYrZ28SmHU4Kqs5qi8kFScZg9WJRlnoCKsXULFNnX+SNaDOdOzbSap4hdn2Qa2kP3WEPdpuCoGbJJqa48NY4hUPlVY/lriM6MFtc1PjSTMSKFAs6OO92pyrJ0SsMDQ4yaOnhX7iM2I1Q0FQKqRTz8XGi5Z3YTaw+uycYEGQnwbatBFs62RidYOTKBc5dHiORGObaqRiRwQCBmkbaOtuocyuYJHFFAleJDzDQN8iFCYGmw4+yWR5mdHyaSMaIu6YWjwgSZZLjI0yOF4iYQ6t07wQki5dgi5dAYyeV1CRXzp3lytAscwujDJyeZ2bAS7ChldbWBmp9dqyrCZZrKpWZs5ztSxJztrK72Y5IBU1VUTOzxGNxphc0tvuXWnB1SpkMuWwBLVSHT5ZQWKPwlDNpkqOTzNqaCQRteJcM8BjAEKK+VqY3mSM6l0ZHed+NrpCauMjpH/45fzL4GH8QkOgWYkQTOo4aF3IlQWahwEximtFomojSxoMhCbt8c5/qXIQFVUF3hWhyrsDfNSjI9iCN9rsZzlXJx0e5/Ow3+fPBx3ha0zjcmGJqqoyz0YciZMin5pgrxZiZnmFQ2shDATPeOxjovCOIdmw2L80NGmenE2SzYXSWsHTvBHqCsStX6R+MIm3ZSoMiYRYEVJMJo1YkP9LPYLZC0CqzpPYvh2jGFuygO9hG94N5Ihdf48Qbp+k93cdFRzORxAKddQHCQT8etwOneekUe2Wml3PP/ZTvvCrxWMMWFOkasaIAVjcO8sTn4wiFeSaHMuQMblq6fLcdGBYMJozuNrYeaWPL/hjT/ec5+8YJXnnlPMb6aSLRTjqa6gj7vfj9HmxGgWWTsFqJeO8xLsUU5IZGNoYNgIpgsmMW4qRiM4xMlMC/VHhBJbWQYiFdxNXWils2YlybxaORS6cZH49QbLyfepcN35KtiYCV1vZ65LMlohNTFPGh8I55LGIwmrF7/bTKIUoDJ7lkr8e48WG+Xvc6z7zxKufndchWENwtbD66m5BRXORB6eRGRkma7BjrW2iT7pWqZRHRoGB1+mnsDCJELtOv+sjVP8E3fucnPNPfy4XCVcbFClndz+anj1DjFO/BzZcyDqeHjV21RIdHSKXrqWC+u/vhykMMjUSJJL3s3rsZu9GAiIAlECAQcOFNTTCyoHKfR79dn+JDiCBYCW95lM9sOcJj0SGGT7/Isz/6U35RbKZ132M8evQB9nd6ltycKxpNWH01+EMCofhxXhvRabrvEIebE5w99xIvnYxRHr5OObyTzp5t7PDcmYctKD5qex6mdvMhnijOcenFH/PzF77LsbSTwI5H+OznHuO+oIxlsczyu2iolTx9J94i6TlKT0c77fKNeyO4W6gLSfTHk0SmMmjbTUsIZoFYLEk8qdN1dCMW5cYH+m7/06d6jvGTP+Nn3/pjvlf/Lb751T3s73Qtq2TlkR/w3e9fZ6C0gX/5nz/PRukdF1GnUkyTiU0zNpVEtdyo5fBYJYyVFAvpDMmsAcVmx+lxYLdaMd20umlAnjN/9rs8V9qNZ8/n+TcHPPfIlwh1tHKBfGKSsckFCpIdm8uL12nCoqVIpDIkswKiYsHldeKw21FEll2VPgq09BDRSz/id/+kyOP/7rc4sn8DNXe1gDnFzEiE+TTY2zuoNd9YrfXyAonoPOMzKrVdLbgUA0u+S7fXObpappTPkE6lmZ+6Qt+YjsHfwp4DG5fcB6iX0qTic0zPzJPUbfgCfjwOCVEtkF5Ik0nmMLgDOBxOHFYTFvlOz1QdtAqFbJpMZoG5sUEmphNEPA/y5E4v7mWKInWtQnLwHJNCDTZfkEaPjIAOeoH48CgLmhkpWE/jYsXA71C8wIvfe4GXzxbZ/I3/xJMhEZthlRaPrlYoxkaZ1bxYzfMsLEQZjgTZ/oUO/B7rioq3pNAOumomSI8M8eZAkfZOBYMBQEBS7DjDrWxwZCmKJmRZRjGKCLodqzOPqyhikI0osrS4mKh59MxZzox5cPTUs22D4x4RHQDhxgoYaKHNmqWoS0iygkk2IGDHZM/jKupgMKKsphDuI0A0+7E17uPBwP8mMhNjaK5CTfgu7lAXbHjrmnFrYDC9V68jGJ04gzY2enVk2bC2FPKtO0cwyCg2D4rNjctpwREuo0oWlkviC7IdR8CExRUgUxQx28zIkoiIhsPuJu8pIpqtyEbDnTHUFhk7ohGT3YPJ7sRhdxCoz7JgcGBVlo9TCaIBR1M37YKMKL0jUsKN7VINbTgRQFpqpurkBi8QyQkUWu7nAb+I6e2Ht/LZoucopIZ57e++zznrg2zrLGFaSDLt2M1TPX78jpWVlAumejq6G4kWhzn1Rh/xlh4Chnc2jQkIohHF7uID5SyCiGC0YlvSnr+xm3ju5HGmXZvZ1NLOBu+99rkGATAgWx03meiCZL6t1OpHgmRFcXdw6HCYn0SmmLweIROqX7qGa02IGOXFnBoBg0F6e+FaDwQkq5/QIrt0bnmGwYjRbMT9geoAEVFSsDrXs2jLgGzz4bP58K34nBsW+GKjFI3LfdNcAzVK/4UIGdFD+wM91MnvJcBWbhDoBUqZEc788ucce/UkJ08NMJOUcB98lPtrTbhXmk4QTIS6ttCxoQHX6EkuTKRIFtTV12F8eHjlNOnZUU69Ece3fRttHQ347mWz4TcaA5LJRefRR2gSY2TGBxiMFdb8DKt8XNDR1SLpsXNcnLViCrazf3sQifcsxJULj2BGtraw9eBDPNQtU8rBjNbKF//5Qeos8qq+gCfYO2nr7OKJrVGOvXSdibkc5bX8PIGuUooPExk8xUvSkxzY0kR3WLlHgsofU0QFMfAgj+6y4NCmeOP0NNnK0tXMVT4h6BXK2ShXX3iNbEMPjTt2selD5vAqgss6ulYmn0yRr+hogngjRmG1YTKsPnOkV3JkY6Nc/NXzjNX/EzZ3tdIdur0PeOrpQa5dGuDEZZXuJx6i02fBblxZrUWVtaEWYkxcOM210SQLnY/z5CbbMtmSKh9vdErzE8ycf55fxDazY8cGuhpvpO/fz21ltXRNe3cj1O1PsRtZnnRkjKQSxuGw47rd7bTlFMlkhnjKQKAxgNkg3NPB2Y8XKoWFGOlMgaylhjqXtPwu/Sofa7Rilnximmk1QMBjxbFIvdNd+yXRKlWqVLkV9062uUqVKp8YqsJTpUqVdef/A9A1KOYpn23uAAAAAElFTkSuQmCC" + } + }, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Вариант 3\n", + "![image.png](attachment:image.png)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## 1. Представить в виде ряда Фурье периодическую функцию\n", + "##### 1.1 Вычислить коэффициенты ряда Фурье для периодической функции f(x)\n", + "##### 1.2 Аппроксимировать функцию, представленную в виде ряда Фурье\n", + "##### 1.3 Изобразить на графике исходную и аппроксимированную функции. Для наглядности изобразить несколько периодов.\n", + "##### 1.4 Изобразить несколько вариантов аппроксимации при различных N (количество гармоник)" + ] + }, + { + "cell_type": "code", + "execution_count": 154, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Fourier coeffs (N = 7):\n", + " [-0.22222222+1.56226400e-16j 0.5 -1.62004288e-16j\n", + " -2. +2.28258076e-16j 3.28986813+0.00000000e+00j\n", + " -2. -2.28258076e-16j 0.5 +1.62004288e-16j\n", + " -0.22222222-1.56226400e-16j] \n", + "\n" + ] + }, + { + "data": { + "image/png": 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MpqaLioqQnJyMHj162POjiIgcLjMTeOYZOQMZGQmMGwd8+y3QvLl87Jln5DFERFVR2pKrV4EOHYAvvgBGjQLCw+Xg1JIlzi4hEZH1bA4gb9y4gQMHDuDAgQMA5MY5Bw4cwG+//QaVSoVp06bhzTffxJYtW3DkyBGMGzcO/v7+ePrpp+1ddiIih1q6VHbuGjcGNm4EFi8GOnWSswUaDYNIIqqe8UCURiPbj06dZNAYEyOPSUlhO0JE7sPmADI1NRUdO3ZEx44dAQDTp09Hx44d8dprrwEAZs6ciWnTpmHKlCnQ6XS4cOECvvnmG6uuAUlE5CoyM4Hdu+X/u3c3TS/TamUnsHFjzh4QUdWMB6LMU1WnTwfatZMzkxyMIiJ3YXMAGRMTAyFEhduaNWsAyA105s6di6ysLBQUFCA5ORn33XefvctNROQwxulm7doBM2ZUPEarBZTM/ORk4KWX2PkjonKZmbLtSEqS980HooDywShmNBCRO7HrGkgiInemdPiGDzdNN6tscwtl9iAjA/joI3b+iEhSBqHWrZPtQ2UDUYBpEJmRAfTsCezbV7vlJSKyBQNIIqLbli4F3nsPOHmy+uARKO/4cTMMIlKYb741erT1bUlpqXzdsGEcjCIi18UAkogI5Wse1WogKsr6bfW1Wm6GQUTlLG2+ZW1bsmmTHLzy8mJGAxG5LgaQRFTvmW+xv3Gj7ddk42YYRFTV5lvW6NQJ+OknXiqIiFwbA0giqtcsbbFfkwt6m2+GMXw4N9Yhqi+M109XtfmWNbjLMxG5OgaQRFRvZWbKDt/hw5a32LeVcRB58iSwahU7f0R1nfGGOWfO3NlAlIK7PBORK2MASUT1ktLpO3kSKCysWbqZJUoQGRUl11NyTSRR3aaseQwPt27DHGtxl2ciclUMIImo3jFOW42KAuLiap5uZolWK9dRdujANZFEdZnxmsfeva3fMMcaxrs8R0ZyTSQRuQ4GkERUr5ivebRll0RbcE0kUd1lzzWPVVF2ed64kWsiich1MIAkonrD3mseq8M1kUR1k63XjL1TXBNJRK6EASQR1QuOWvNYHa6JJKpbanrN2DvFNZFE5CoYQBJRnefoNY/V4ZpIorrBHteMrSmuiSQiV8EA0kaZmcC8eWywidxFba15rI5xOmtGBtCzJ7BvX+2WgYhqxnjN451eM/ZOcE0kkXurK3EEA0gbvf8+sGkTR/2I3EFtr3msjhJElpbKTuiwYWxHiNxBba95rA7XRBK5H2VAe9MmGU+4MwaQNpowAWjQQHZIhw9ng03kqpy15rE6Wq3846HRAF5eHIwicnXOWvNYHa6JJHIf+/bJzKPffweCg2U84c4YQNpIGfUrLJQdUzbYRK7H2Wseq9OpE/DTT0Dz5rzEB5GrMr9UR22veawO10QSuYfMTJlxpNcDJSWuMwh1J7ycXQB3NH06IITcTVFpsOvCl4GoLlDSVk+elMGjK3X4jCmdv2eekRkNhw/LdoXrmYicTxmEOnpU3m/XzjX/zitrIo3T9YcPd912j6i+UdoST0+ZebRpU904NzkDWQPGi9i5IQaR63DVtNXK8BIfRK5p6VIZPIaHA6NHu2bwaIzZUUSuxzhtNTxcZh516uTsUtkHA8g7wA0xiFyD+Q6Jrpi2WhnzS3wwnZXIeZS2JClJ3u/d2zm7NtfE9OnAxImy/ePANpFz1cW0VWNMYb1DyoYYw4bJDTGGD5ejgNOn160vCpErU3ZIVKtlIOZuDbVxOuvRo8CZM8DevcDatc4uGVH9odcDY8aYpq26wyCUwjidtWfP8oHtn35yr/aQyJ1lZsrzMCWl7qWtGuMMpB0Yb4hx8iSwahXXMRHVFlfdIdFWxhtihIfLtUyjRzu7VET1R79+MtUsMtI90lYrw52eiZxDWUazbp0cCK5raavGGEDaCdcyEdUuV98hsSaUGYSYGLmW6fRp+bhe79RiEdVpyvl16ZJMNdu40X3SVivDnZ6Jap+7rZ2+Ewwg7YhrmYhqh/konytc2NuelLVMrVvL+88+y3aEyBEyM+X5BQDNmtWtVDNlYFujYXYUkSO589rpmmIAaWfGDfaZM7y4L5G9GW9XX1dH+ZSZyI8+kvfT0uTPzHaEyH6UHRIvXJD3ExPrXqqZeXZUcjIHtonsyXhAOyPD/dZO1xQDSAewtJaJnT+iO2d+mY66Psqn0ch/i4q4NT+RPZnvkAiUn291jXF2VEYGB7aJ7MX4Mh3uvnbaVgwgHcR8LRM7f0R3xrihdqfLdNjDuHHyZ+ZaJqI7Y7x2Wtkhcd06Z5fK8YwHtiMjeZkPojtlPghVF9ZO24KX8XCw6dMBIeSmOkrnj5f5ILKNcUOt0bj/Zjm2euMN4PJlOQh1+LC8CcH1TES2UDIYjC/TsX490LRpeRprXcbLfBDdufpymY7qcAbSwZQGe+NGLmQnspWl2YL62FADXMtEdCfqw9ppa5lf5oNZDUTWU647ffJk3b5MR3XsHkDOnTsXKpXK5KapqwsLbMDOH5Ft6tP1lKzFtUxEtqtva6etwetXE9nGeKdVd7/utD04ZAayffv2yMrKMtwOHz7siI9xO+z8EVmHswWV41omIusYZzDo9fVv7XR1OLBNZB3znVbrwnWn75RDAkgvLy9oNBrDrWnTpo74GLfEHVqJqsbZguoZp8aXlsrO8ZAh7PwRKZRBqFWrZFuirJ1mW2KKA9tEVavPO61WxSGb6Jw6dQparRZqtRpdu3bFm2++ibvvvtvisYWFhSgsLDTcz8vLAwAUFxejuLjYEcVzuqZNgQULgNmzgdWrgd9+A8aPB/79b/fYRlypl7paP3WVq9ebXg+8+y7w66/AtWvAffcBXbsCzz0HuGiRHa66OmvaFPjsMzkgdfOm/P/hw+7TltRFrn6e1Qd6PfDss/Jvq6+vbEvWrpXni6Vqqe911rSp/P0o7e+lS0CfPnK2JTra2aWzrL7Xmbtyt3rT64GnnwZyc4FmzYANG8r/trrJj2ATW+pFJYQQ9vzw//3vf8jPz0dUVBQuXryIhIQEHD9+HGlpaQgODq5w/Ny5czFv3rwKj3/88cfw9/e3Z9GIiIiIiIjITH5+Pp5++mnk5uaiYcOGVR5r9wDS3M2bNxEZGYmZM2di+vTpFZ63NAMZHh6O7OzsagtfVyijpWlpQEGBHC396CPXnUEoLi5GYmIi+vXrB29vb2cXh6zkqvWmzDz++KOcMWjd2rW//7XJ1jrT64F+/eQMQrNmQGIif4+1zVXPs/qgpt9/1pmpgwdlVoOXFxASUp4J4kptCevMPblDvSnf/5s3AQ8PoG3b+pPVk5eXh5CQEKsCSIdfBzIgIAAdOnTAqVOnLD6vVquhVqsrPO7t7e2yXy57Cw+XqazDhwOHDgFHjgBjxrh+jnV9qqO6xFXqzfhaSmfOyMeU67K58vfeGayts/Bw4OOP5bXdSkuBJ5/kdWedxVXOs/rAuC0pKQGCguR5EB5u2/uwziSdDvjuu/JrZh45Anz6qbz0h6vtgs06c0+uWm+ZmcCf/iQHo0JC5P/r099PW+rE4deBLCwsxLFjxxAWFuboj3JrykL2uDi5I5pez2szUd1mfC0lLky3H/Pt+Ves4EZdVHcpG1ysXcvL/diT8YZ/fn6yTzJsGNsRqpssXXP6iy+46VZV7B5AvvTSS0hOTkZ6ejp++eUXDB8+HHl5eRg7dqy9P6rOMd5ZUaNh54/qJkvXUuLuiPZlvD2/SiXbEu6sSHVNZqYMavR6uVkOB6HsS+mTfPGF7JN4eXFgm+oeDkLVjN0DyN9//x0jR45EmzZtMHToUPj4+ODnn39Gy5Yt7f1RdRY7f1RXGTfUvJaSYzGrgeoqzhbULmY1UF3FQaias/sayE8++cTeb1kvKZ0/ZV2HcrFwV1yDQFQdZY3Sp58C2dlybcGTT9avtQXOoMwgKNfWPHxYbhCwezcDd3JP+/bJDt+NG3KDC66brh3KwLayV8PJk/L/XGNN7sh43bQyCMX+tW0cvgaSao4XC6e6QAle1q0Dbt3ibIEzWMpq4GwkuRNl1nHIEM4WOIt5VsOZM3LHbGZIkTvJzJR//1atkn8LmbJaMwwg3YBWK0dGNBp5mY+PPmLnj9yDkrL6++9yo5xx49hQOws7f+SuOAjlOowHtkeNkp3vw4eZ0kquzzj1/eRJQAj5t5CDUDXDANJNKGsQxoyRHXGuQyBXZj5bUFLCjXJcATt/5G6U2YLDh+X3lYNQrkFpS2JigMJCZjWQazPfKCcqCpg8mUs57gQDSDdi3PnjBjvkioxH+IxnCzZtYiPtStj5I1dnPltQWAj07s1BKFczfTowcWJ5VsOaNbKjvm+fs0tGJFnaKIcD2nfO7pvokOOZb7Cj7K7IxezkTMpMwaFDspGOiuJ30tVNny7TeFJSZCedG+yQKzDfKMe4LSHXYrxRl7JRmrJfAzdKI2fiRjmOxQDSVqmpwPPPA6dOyVYxIED+lcvKkveFKP+/+XN2PFZ74waWZGWhqKkWJy8EQHXyBkJTsnBtuRZFLQR8sq1835qU6epV4F//Arp3B86ds//P6qTfaZ0uf0AAUFwMzJkje2IFBXb7nKKrN1B0Lgv5Hlq8XygQWpaFa2VahBcGQL3jBrCmDv9OHf05ERHA7Nny3yZN7F4m43bk/E2BxgVZuPiLFtlRAYDvDYSWZcGzeR37nTq6TA46z+rD77SoqRYXrgXA9/IN7CnNwiUvLfybBkB75QZ81mQB37jneVYf6lmr1WJJQABeV9/ArcIs6DO1wDsC6qVZyL9b1qPbnWeuWM/uXv7GjeWognKuOehz8vMF1Gez8GeVFk95BKCxzw1EqLPgOc5FfqdaLZCQAOh0zo5qak64mNzcXAFA5ObmOrsolj39tBDya+Ayt7Iqbo74vCI/P/H555+LIj8/p//svDm33mr7u1ffbrV5rrEu3a/O6srN2d891pn71SfrzD1vjq43Z7clVt9UKhlPuBhbYjAvZwewbufFF4GzZ50+A2n8nMpoFkjvoUWhMgvkp0X4vQFQF9l5NOXqVfm7aNeOM5DuVKbiYllv7dvf8Yht6YUsXPTQIrsgAJ63bhi+by1smf2uC79TR39ORISssyZNHD4zorp9rDILdOvyDTQzngVqeKO8bt35d+roMtnxPKsPv9OiplqcP3d79ttDi1K/AITU9ux3LZ5n9aGeVbfv5+cL3DqbBb1Ki3yPADTyuoEwZMGnlRY+jdzgPHOh32mdKX/jxqbnmh0/J//yDcP3DRDQiCz4WTP77YzfqVYr4wk35uXsArgdnU4mVLsYn9s3/0xgzHCjdWhqoMfDdl6HUFwMfP21/D14e9vpTcnhlHrbvfuO6s1kfVIAEHl/+fokH3t9x0hS6iw9vdbONR8AEZD1/KBSz6VAZBOgx0CuaaqWnc6zus54fdLJy8AtDyA62knrb51wntUH/gCuZQL/WVK+zvrWLSC6sR3qmeeZe3LAuWa8/jZbDYSElK+/DebfKodhAFnHaLWmG+ycOSMb7Q0bgMceA157jZ0/qhmTRjrbtJHmd6ruUS4dtGQJN9kh++KGW/WHVlu+yY5S58quz6xzuhP79gHPPQcUFQEZGUBpKTfKqU0MIOsg4wbbeFe0jz6SjTcbbbKF8UzBmTNspOsTdv7InkxmHU/KjK6oKA5I1AeVDW5v2sS/JWQb876tj4/MXuDfpNrFALIOUzp/zzxTPkrDRptswZkCAip2/pTZyKQkeS1Jfh+oKpmZwLx5MnOtoKDipTn43akfKhvc5iU/yBqVDWYzu845GEDWA506ybQzNtpkLePUkHPnOFNAlmcjjx+XqUO7dzMYoIqMO3yHDsngMSyMf3fqO+PBbWU9/UcfyQEpHx/gn//k4DaZ4mC262EAWY+w0abqMDWEqmM8G3nzZnlaK9dHkjGTzbY8gLZt+XeGTJmvs1YGGTi4TQoOZrsuBpD1EBttMsfUELKFMhgFWF4fef/9QIMGbEvqG6UduXkT+OorbrZF1TPObDBOc16zhktt6jMOZrs+BpD1FBttAsob6eRkmY7I1BCylaXNMQ4elM9xRrL+MJ5xLCgA1GputkXW02qBVassL7V57DEOSNUXHMx2Hwwg6zk22vWTeSN944Z8nKkhVBPmm2MoAxInTwKDBzN1sa6qbMZx2DD+7aCasbTUZv16OSDBwe26i4PZ7ocBJAGoutHmNSTrlr/9DfjuO9NGmimHZA/mgSRT5Osu49RlQLYlnHEkezFeaqMMUBgPbgcFyeCC3Jv5tRw5mO0+GECSicoabeNrSE6d6uxSkq0yM4E33gBiY4H//he4ckU+zkaaHKGyFHlu2uXejGcclTWvQgD33svLuZD9Ga+1Nk6RXr++PIB88UXg1Vf5vXM3ej2wbFnFNY4czHYfDCCpAvNG2/wakl98ASxeLE/68HDnlpUqZ97ZO3VKBpC+vsDo0WykyfHMU+TNZySZJu8ezNPLACAggClmVHvMB7e//VY+/sknwM8/c1DKXej18t8+fYBr1+QAFNc4uicGkFQlS9eQvHhRPvfkk/JfNtqupbLO3j33yP//97+ATue88lH9U9mMJNPkXVtl6WWccSRnMB7cTk0FLlyQgxgclHJtxoPZx4/LWWO9HmjUiMsa3BkDSLKK8RrJ6dPlY6dOAVevstF2FdV19qZOlcdERzu1mFSPmc9IWkqTZwqTc1mqG6aXkauJjpYB5IYNQEICB6VckaXB7OBg+W/nzsDSpZx8cGcMIMkmnToBiYmysR4xAti6tWKjHRMDhIayk1EbbOnsFRc7u7REUlVp8solQJKSOMtVmyx19pSNcdgRJ1el0XBQypUoWSZ798r75oPZffvK/ycmAt7ezikj2QcDSKqxZcvkjp7mjfann8rUBG6W4RjKH8pLl+TvuKDA9Lpr7OyROzFPk1cCmOPHgXPnOCjlSNV19hjAk7uwdlBKp2MwaW/m+y0cOgTcuiUHoMwHs5s2lRMQ5P4YQNIdsdRoR0bKRtt4XUJMjHyMwWTNma8fy8uTF9kNC+N118j9mV8CpLJBKUB2AjlIUjOW2unKOnv8/ZI7qmpQ6tgxeQwzHO6McTudmmq630LbtvL/ltppZkLVHQwgyW6URhuoGOx8+qkMdpT1kgA7KdUxnh24917ToDwsDHjkEQblVPdUNyh165bsBB46VP44z4GqGf8ek5JkUL53rwzKq+rsEbkzS4NSSrBz/LiccVcGpe69l1kO1aksaBRC/sushfqFASQ5hPlmGcbpluvXA2Vl8jglpQRgQAlU3mE+fLi8s8e0YKovLA1KKemWZ87I/ysDU8xyKGfc0QPKZ3L37gUCA2WqO9OCqb4wHpSqLN1S+RvLLIdyxr+rmzdNl8wofbh772VacH3FAJIcqrKG23gU8MSJ+htQms8yVjY7wNFRqu+UQSnA8sCUeZbDzZv1J6A0DxiNZwdUqvL10Qwaqb4z75NYyvIxz3I4dqx+BJRVBYxFRaZLZoD60UejyjksgFy+fDkWLVqErKwstG/fHsuWLcNDDz3kqI8jN1BZMAlUHVAqDbu7dwSNO73HjlX8g3X4MGcHiKxhqS0xz3JQOjzGAWVd6QgaZyoEBFQMGDk7QFQ940EpoPIsh5IS2XakpsrH771Xnnfufl5VNfBUXGwaMNanATmyjkMCyA0bNmDatGlYvnw5evbsiVWrVmHAgAE4evQoWrRo4YiPJDdj3AEEqg4oDx+23BF05UbcuIMHlC/cz8gArl2Tf5CM01IBzjIS1URlA1PGI+hKQFlZRxBwzXbE/OdR2j3jTAUfn4oBI+CaPw+RK6ssy0H5+338ePlgr4+P6aXLAgJcN8iyNHhd3cBTXRm4J8dxSAC5dOlS/OUvf8Gzzz4LAFi2bBl27NiBFStW4K233nLER5KbqyqgrKwjaKkRB0wbSMD+HSnztBflD4fx5xqvOQJkeZVdDpWUGAaMRPZVXTtSWUfQPIXe/Hx2VMfQ0kCT8Weap5Ap7Z5xpoIrB8BE7spSW2L+d994l2gfH9Osh5iYiuezo/7uVzbQZN6O5OWZ9p048ER3wu4BZFFREfbu3YtZs2aZPB4bG4vdym4IRgoLC1FYWGi4n5eXBwAoLi5GMff7dUlKvTiyfpo2BRYsKL+v1wPvvgvk58sG8cQJoE0b2UDu2AFcvAhs2yaPLSkBTp82bSB375YdP+PXAqbvY/6+lR2bng6kpckOqPI5SudOue/jA7RqBfTqVf7aTp2Al1+WHT9ztfFVr416I/tind0Z83YEkG3JggXA/v3l5/q+fcCpU8D588Bvv1U8n5WO4ZNPynO6qnajsLAYAwcCU6YUo6Sk6mOVtuvoUVk2S5+p0QD9+5u+tlkzGXg6qy2pa3ieuZ/arrOmTeUAkrFnnwVeegmIiCg/v3/8UQZr27ZVPJ+V+0FB5ZuD3UlfxPwzCwsrb7s0GmDgQNPXAvJfS22Jo36tPNdcmy31ohJC2YDXPjIzM3HXXXfhp59+Qo8ePQyPv/nmm/jwww9x4sQJk+Pnzp2LefPmVXifjz/+GP7+/vYsGhEREREREZnJz8/H008/jdzcXDRs2LDKYx22iY5KpTK5L4So8BgAvPLKK5g+fbrhfl5eHsLDwxEbG1tt4ck5iouLkZiYiH79+sHb29vZxamS8cwlYJ8ZyKpG/12ZO9UbSawz16G0JZcvWzMDmYgvv+yHkhLvKo+tbPSfahfPM/fjznVmngUB3NkMZHo6sHixXCLj6ty53uoDJQvUGnYPIENCQuDp6Qm9Xm/y+KVLlxAaGlrheLVaDbVaXeFxb29vfrlcnDvUUXg48Pbbzi6Fa3GHeiNTrDPns7YtKS4Gvv4aWL6cdeZueJ65H3ess/Bw4F//cnYpnMsd660+sKVO7B5A+vj4oHPnzkhMTMQTTzxheDwxMRFDhgyp9vVKRq0tUTDVruLiYuTn5yMvL48NgBthvbkf1pn7YZ25H9aZ+2GduSfWm2tTYi9rVjc6JIV1+vTpGD16NHQ6Hbp374733nsPv/32GyZNmlTta69fvw4ACA8Pd0TRiIiIiIiIyILr168jKCioymMcEkA++eSTyMnJwfz585GVlYX77rsPX3/9NVq2bFnta7VaLTIyMhAYGGhxzSQ5n7JONSMjg+tU3Qjrzf2wztwP68z9sM7cD+vMPbHeXJsQAtevX4fWiuu42H0XVqr78vLyEBQUZNUuTeQ6WG/uh3Xmflhn7od15n5YZ+6J9VZ3eDi7AEREREREROQeGEASERERERGRVRhAks3UajXi4+MtXn6FXBfrzf2wztwP68z9sM7cD+vMPbHe6g6ugSQiIiIiIiKrcAaSiIiIiIiIrMIAkoiIiIiIiKzCAJKIiIiIiIiswgCSiIiIiIiIrMIAkqqVlJQElUpl8bZnz55KXzdu3LgKx3fr1q0WS16/tWrVqsLvf9asWVW+RgiBuXPnQqvVws/PDzExMUhLS6ulEtdv586dw1/+8hdERETAz88PkZGRiI+PR1FRUZWv43lW+5YvX46IiAj4+vqic+fO+OGHH6o8Pjk5GZ07d4avry/uvvturFy5spZKSm+99RYefPBBBAYGolmzZnj88cdx4sSJKl9T2d+848eP11Kp67e5c+dW+N1rNJoqX8NzzPks9TlUKhX++te/Wjye55l783J2Acj19ejRA1lZWSaPzZkzBzt37oROp6vytY888ghWr15tuO/j4+OQMpJl8+fPx4QJEwz3GzRoUOXxb7/9NpYuXYo1a9YgKioKCQkJ6NevH06cOIHAwEBHF7deO378OMrKyrBq1Sq0bt0aR44cwYQJE3Dz5k0sXry4ytfyPKs9GzZswLRp07B8+XL07NkTq1atwoABA3D06FG0aNGiwvHp6el49NFHMWHCBKxbtw4//fQTpkyZgqZNm2LYsGFO+Anql+TkZPz1r3/Fgw8+iJKSEvztb39DbGwsjh49ioCAgCpfe+LECTRs2NBwv2nTpo4uLt3Wvn177Ny503Df09Oz0mN5jrmGPXv2oLS01HD/yJEj6NevH/70pz9V+TqeZ25KENmoqKhINGvWTMyfP7/K48aOHSuGDBlSO4WiClq2bCneeecdq48vKysTGo1GLFiwwPBYQUGBCAoKEitXrnRACak6b7/9toiIiKjyGJ5ntatLly5i0qRJJo+1bdtWzJo1y+LxM2fOFG3btjV5LC4uTnTr1s1hZaTKXbp0SQAQycnJlR6za9cuAUBcvXq19gpGBvHx8SI6Otrq43mOuaapU6eKyMhIUVZWZvF5nmfujSmsZLOtW7ciOzsb48aNq/bYpKQkNGvWDFFRUZgwYQIuXbrk+AKSwcKFCxEcHIwHHngAb7zxRpXpkOnp6dDr9YiNjTU8plar0bt3b+zevbs2iktmcnNz0aRJk2qP43lWO4qKirB3716TcwQAYmNjKz1HUlJSKhzfv39/pKamori42GFlJctyc3MBwKrzqmPHjggLC0Pfvn2xa9cuRxeNjJw6dQparRYRERF46qmncPbs2UqP5TnmeoqKirBu3Tr8+c9/hkqlqvJYnmfuiQEk2eyDDz5A//79ER4eXuVxAwYMwPr16/Hdd99hyZIl2LNnD/r06YPCwsJaKmn9NnXqVHzyySfYtWsXnnvuOSxbtgxTpkyp9Hi9Xg8ACA0NNXk8NDTU8BzVnjNnzuDdd9/FpEmTqjyO51ntyc7ORmlpqU3niF6vt3h8SUkJsrOzHVZWqkgIgenTp6NXr1647777Kj0uLCwM7733HjZt2oTNmzejTZs26Nu3L77//vtaLG391bVrV6xduxY7duzA+++/D71ejx49eiAnJ8fi8TzHXM/nn3+Oa9euVTnRwPPMzTl7CpScJz4+XgCo8rZnzx6T12RkZAgPDw+xceNGmz8vMzNTeHt7i02bNtnrR6h3alJnio0bNwoAIjs72+LzP/30kwAgMjMzTR5/9tlnRf/+/e3+s9QXNamzCxcuiNatW4u//OUvNn8ezzPHuXDhggAgdu/ebfJ4QkKCaNOmjcXX3HPPPeLNN980eezHH38UAERWVpbDykoVTZkyRbRs2VJkZGTY/NqBAweKQYMGOaBUVJ0bN26I0NBQsWTJEovP8xxzPbGxsWLgwIE2v47nmfvgJjr12HPPPYennnqqymNatWplcn/16tUIDg7G4MGDbf68sLAwtGzZEqdOnbL5tSTVpM4Uys6cp0+fRnBwcIXnlV3u9Ho9wsLCDI9funSpwuguWc/WOsvMzMTDDz+M7t2747333rP583ieOU5ISAg8PT0rzDZWdY5oNBqLx3t5eVk8D8kxnn/+eWzduhXff/89mjdvbvPru3XrhnXr1jmgZFSdgIAAdOjQodI2jeeYazl//jx27tyJzZs32/xanmfugwFkPRYSEoKQkBCrjxdCYPXq1RgzZgy8vb1t/rycnBxkZGSYBCdkG1vrzNj+/fsBoNLff0REBDQaDRITE9GxY0cAch1DcnIyFi5cWLMCk011duHCBTz88MPo3LkzVq9eDQ8P21cZ8DxzHB8fH3Tu3BmJiYl44oknDI8nJiZiyJAhFl/TvXt3bNu2zeSxb775BjqdrkbtKNlGCIHnn38eW7ZsQVJSEiIiImr0Pvv37+c55SSFhYU4duwYHnroIYvP8xxzLatXr0azZs3w2GOP2fxanmduxNlToOQ+du7cKQCIo0ePWny+TZs2YvPmzUIIIa5fvy5mzJghdu/eLdLT08WuXbtE9+7dxV133SXy8vJqs9j10u7du8XSpUvF/v37xdmzZ8WGDRuEVqsVgwcPNjnOuM6EEGLBggUiKChIbN68WRw+fFiMHDlShIWFsc5qgZK22qdPH/H777+LrKwsw80YzzPn+uSTT4S3t7f44IMPxNGjR8W0adNEQECAOHfunBBCiFmzZonRo0cbjj979qzw9/cXL774ojh69Kj44IMPhLe3d42WAZDtJk+eLIKCgkRSUpLJOZWfn284xrzO3nnnHbFlyxZx8uRJceTIETFr1iwBgGnhtWTGjBkiKSlJnD17Vvz8889i4MCBIjAwkOeYGygtLRUtWrQQL7/8coXneJ7VLQwgyWojR44UPXr0qPR5AGL16tVCCCHy8/NFbGysaNq0qfD29hYtWrQQY8eOFb/99lstlbZ+27t3r+jatasICgoSvr6+ok2bNiI+Pl7cvHnT5DjjOhNCXsojPj5eaDQaoVarxR/+8Adx+PDhWi59/bR69epK10ga43nmfP/6179Ey5YthY+Pj+jUqZPJJSHGjh0revfubXJ8UlKS6Nixo/Dx8RGtWrUSK1asqOUS11+VnVPG7Z55nS1cuFBERkYKX19f0bhxY9GrVy/x1Vdf1X7h66knn3xShIWFCW9vb6HVasXQoUNFWlqa4XmeY65rx44dAoA4ceJEhed4ntUtKiGEqOVJTyIiIiIiInJDvIwHERERERERWYUBJBEREREREVmFASQRERERERFZhQEkERERERERWYUBJBEREREREVmFASQRERERERFZhQEkERERERERWYUBJBEREREREVmFASQRERERERFZhQEkERERERERWYUBJBEREREREVmFASQRERERERFZhQEkERERERERWYUBJBEREREREVmFASQRERERERFZhQEkERERERERWYUBJBEREREREVmFASQRERERERFZhQEkERERERERWYUBJBEREREREVmFASQRERERERFZhQEkERERERERWYUBJBEREREREVmFASQRERERERFZhQEkERERERERWYUBJBEREREREVmFASQRERERERFZhQEkERERERERWYUBJBEREREREVmFASQRETnNmjVroFKpcO7cOWcXxcTHH3+MZcuWObsYtSomJgYqlQqPPPJIhefOnTsHlUqFxYsX3/HnHDhwAI899hhatGgBPz8/NGnSBN27d8e6devu+L2JiMjxGEASERGZqY8BpGLHjh347rvvHPb+165dQ3h4ON588018/fXXWLt2LVq1aoXRo0cjISHBYZ9LRET24eXsAhARkevLz8+Hv7+/s4vhcPXl56xMVFQUSkpKMHPmTOzZswcqlcrunxETE4OYmBiTxwYOHIj09HS89957mD17tt0/k4iI7IczkEREZGLu3LlQqVTYt28fhg8fjsaNGyMyMhIAIITA8uXL8cADD8DPzw+NGzfG8OHDcfbsWZP3SExMxJAhQ9C8eXP4+vqidevWiIuLQ3Z29h2Vaf/+/Rg6dCgaNmyIoKAgjBo1CpcvXzY5dsOGDYiNjUVYWBj8/Pxw7733YtasWbh586bJcePGjUODBg1w+PBhxMbGIjAwEH379kVMTAy++uornD9/HiqVynCriePHj2PkyJEIDQ2FWq1GixYtMGbMGBQWFgIALl++jClTpqBdu3Zo0KABmjVrhj59+uCHH36o8F4rVqxAdHQ0GjRogMDAQLRt2xavvvqqyTF6vR5xcXFo3rw5fHx8EBERgXnz5qGkpMSq8np7e+ONN97A3r17sWHDhhr9zDUVEhICLy+OaxMRuTq21EREZNHQoUPx1FNPYdKkSYbgKy4uDmvWrMELL7yAhQsX4sqVK5g/fz569OiBgwcPIjQ0FABw5swZdO/eHc8++yyCgoJw7tw5LF26FL169cLhw4fh7e1dozI98cQTGDFiBCZNmoS0tDTMmTMHR48exS+//GJ4z1OnTuHRRx/FtGnTEBAQgOPHj2PhwoX49ddfK6RmFhUVYfDgwYiLi8OsWbNQUlKC5s2bY+LEiThz5gy2bNlS49/fwYMH0atXL4SEhGD+/Pm45557kJWVha1bt6KoqAhqtRpXrlwBAMTHx0Oj0eDGjRvYsmULYmJi8O233xpm6j755BNMmTIFzz//PBYvXgwPDw+cPn0aR48eNXyeXq9Hly5d4OHhgddeew2RkZFISUlBQkICzp07h9WrV1tV7ieffBKLFy/G7NmzMWzYsCrrytrA1NPTs0IQXlZWhrKyMly9ehWfffYZduzYgX/+859WvR8RETmRICIiMhIfHy8AiNdee83k8ZSUFAFALFmyxOTxjIwM4efnJ2bOnGnx/crKykRxcbE4f/68ACC++OILw3OrV68WAER6erpVZXrxxRdNHl+/fr0AINatW1flZycnJwsA4uDBg4bnxo4dKwCI//znPxVe99hjj4mWLVtWWabq9OnTRzRq1EhcunTJ6teUlJSI4uJi0bdvX/HEE08YHn/uuedEo0aNqnxtXFycaNCggTh//rzJ44sXLxYARFpaWpWv7927t2jfvr0QQoidO3cKAOLdd98VQgiRnp4uAIhFixYZjlces+a2a9cui+VVnvfx8RHLly+vsnxEROQamMJKREQWDRs2zOT+l19+CZVKhVGjRqGkpMRw02g0iI6ORlJSkuHYS5cuYdKkSQgPD4eXlxe8vb3RsmVLAMCxY8dqXKZnnnnG5P6IESPg5eWFXbt2GR47e/Ysnn76aWg0Gnh6esLb2xu9e/eu9LPNf057yM/PR3JyMkaMGIGmTZtWeezKlSvRqVMn+Pr6Gn5X3377rUlZu3TpgmvXrmHkyJH44osvLKYCf/nll3j44Yeh1WpN6mfAgAEAgOTkZKvL37dvX8TGxmL+/Pm4fv26xWO0Wi327Nlj1a1z584VXv/qq69iz549+Oqrr/DnP/8Zzz33nF12eSUiIsdiCisREVkUFhZmcv/ixYsQQhjSVM3dfffdAGRqYmxsLDIzMzFnzhx06NABAQEBKCsrQ7du3XDr1q0al0mj0Zjc9/LyQnBwMHJycgAAN27cwEMPPQRfX18kJCQgKioK/v7+yMjIwNChQyt8tr+/Pxo2bFjj8lTm6tWrKC0tRfPmzas8bunSpZgxYwYmTZqE119/HSEhIfD09MScOXNMAsjRo0ejpKQE77//PoYNG4aysjI8+OCDSEhIQL9+/QDI+tm2bVulKae2rj9duHAhOnXqhMWLF2P8+PEVnvfx8cEDDzxg1Xt5enpWeKxFixZo0aIFAODRRx8FALzyyisYO3ZstUE3ERE5DwNIIiKyyHzNWkhICFQqFX744Qeo1eoKxyuPHTlyBAcPHsSaNWswduxYw/OnT5++4zLp9XrcddddhvslJSXIyclBcHAwAOC7775DZmYmkpKSDLOOgLx0hCWO2GUUAJo0aQJPT0/8/vvvVR63bt06xMTEYMWKFSaPW5r1Gz9+PMaPH4+bN2/i+++/R3x8PAYOHIiTJ0+iZcuWCAkJwf3334833njD4mdptVqbfoYHHngAI0eOxNKlSw0BnrFz584hIiLCqvfatWtXhZ1XzXXp0gUrV67E2bNnGUASEbkwBpBERGSVgQMHYsGCBbhw4QJGjBhR6XFKUGYeZK5ateqOy7B+/XqTdMhPP/0UJSUlhuDEXp+tVqvvaKbUz88PvXv3xmeffYY33ngDISEhFo9TqVQVynro0CGkpKQgPDzc4msCAgIwYMAAFBUV4fHHH0daWhpatmyJgQMH4uuvv0ZkZCQaN25c47IbS0hIwMaNGzFv3rwKzykprNZo06ZNtcfs2rULHh4ehplsIiJyTQwgiYjIKj179sTEiRMxfvx4pKam4g9/+AMCAgKQlZWFH3/8ER06dMDkyZPRtm1bREZGYtasWRBCoEmTJti2bRsSExPvuAybN2+Gl5cX+vXrZ9iFNTo62hDQ9ujRA40bN8akSZMQHx8Pb29vrF+/HgcPHrTpczp06IDNmzdjxYoV6Ny5Mzw8PKDT6QDIy398+OGHSE9PR6tWrSp9D2XX2a5du2LWrFlo3bo1Ll68iK1bt2LVqlUIDAzEwIED8frrryM+Ph69e/fGiRMnMH/+fERERJjscDphwgT4+fmhZ8+eCAsLg16vx1tvvYWgoCA8+OCDAID58+cjMTERPXr0wAsvvIA2bdqgoKAA586dw9dff42VK1dWm1JrLiIiApMnT8bf//73Cs/5+PgYfie2mDhxIho2bIguXbogNDQU2dnZ+Oyzz7Bhwwb83//9H2cfiYhcHANIIiKy2qpVq9CtWzesWrUKy5cvR1lZGbRaLXr27IkuXboAkNcS3LZtG6ZOnYq4uDh4eXnhj3/8I3bu3GlY81ZTmzdvxty5c7FixQqoVCoMGjQIy5Ytg4+PDwAgODgYX331FWbMmIFRo0YhICAAQ4YMwYYNG9CpUyerP2fq1KlIS0vDq6++itzcXAghIIQAINdZ+vn5oVGjRlW+R3R0NH799VfEx8fjlVdewfXr16HRaNCnTx9Def/2t78hPz8fH3zwAd5++220a9cOK1euxJYtW0w2JXrooYewZs0afPrpp7h69SpCQkLQq1cvrF271hBwhYWFITU1Fa+//joWLVqE33//HYGBgYiIiMAjjzxS41nJ2bNnY/Xq1cjLy6vR6811794dq1evxocffohr166hQYMGiI6OxkcffYRRo0bZ5TOIiMhxVEL5i0hEROSi5s6di3nz5uHy5cuVpoPWFo1Gg9GjR2PRokVOLQcREZEz8DIeREREVkpLS0N+fj5efvllZxeFiIjIKZjCSkREZKX27dvbLZWTiIjIHTGFlYiIiIiIiKzCFFYiIiIiIiKyCgNIIiIiIiIisorNAeT333+PQYMGQavVQqVS4fPPPzd5XgiBuXPnQqvVws/PDzExMUhLS7NXeYmIiIiIiMhJbN5E5+bNm4iOjsb48eMxbNiwCs+//fbbWLp0KdasWYOoqCgkJCSgX79+OHHiBAIDA6t9/7KyMmRmZiIwMBAqlcrW4hEREREREZENhBC4fv06tFotPDyqmWMUdwCA2LJli+F+WVmZ0Gg0YsGCBYbHCgoKRFBQkFi5cqVV75mRkSEA8MYbb7zxxhtvvPHGG2+88VaLt4yMjGrjNbtexiM9PR16vR6xsbGGx9RqNXr37o3du3cjLi6uwmsKCwtRWFhouC9ubwqbnp5u1Ywl1b7i4mLs2rULDz/8MLy9vZ1dHLIS6839sM7cD+vM/bDO3A/rzD2x3lzb9evXERERYVX8ZdcAUq/XAwBCQ0NNHg8NDcX58+ctvuatt97CvHnzKjyekpICf39/exaP7Mjf3x+//PKLs4tBNmK9uR/Wmfthnbkf1pn7YZ25J9ab68rPzwcAq5YQ2jWAVJh/sBCi0sK88sormD59uuF+Xl4ewsPDERsbi4YNGzqieHSHiouLkZiYiH79+nEEyY2w3u6MXg8sWACkpQGLFwPR0Y7/TNaZ+2GduZ/arDO9Hnj3XSA/HwgIAJ57DtBoHPqRdRLPM/fEenNteXl5Vh9r1wBSc7sV1Ov1CAsLMzx+6dKlCrOSCrVaDbVaXeFxb29vfrlcHOvIPbHebJeZCYwZA+zZAxQUAH/6E/DTT4BWWzufzzpzP6wz91Mbdfb3vwOrVgFCyADy11+B9etrry2pa3ieuSfWm2uypU7seh3IiIgIaDQaJCYmGh4rKipCcnIyevToYc+PIiKqFZmZwDPPyJmDtm2BsDDAy0s+lpnp7NIRkbvIzAR27wbUatmWREbKdoVtCRG5G5sDyBs3buDAgQM4cOAAALnZzYEDB/Dbb79BpVJh2rRpePPNN7FlyxYcOXIE48aNg7+/P55++ml7l52IyKGMg0eNBti6FfjlF6B5c/nY8OHASy+x80dElcvMBGbMkO3F1atAhw6yLdm4EWjcGDh6FFiyxNmlJCKyns0prKmpqXj44YcN95X1i2PHjsWaNWswc+ZM3Lp1C1OmTMHVq1fRtWtXfPPNN9xRlYjcSmam7PCdPAlERZmmma1fLwPLw4flTQh2AInIsqVLgffekzOPHTqYtiU9egBnzgDJyXIwavp0prMSkeuzeQYyJiYGQogKtzVr1gCQG+jMnTsXWVlZKCgoQHJyMu677z57l5uIyGGUmceTJ4HCQqB7d9NOnVYrO4FRUbJTmJLCWUgiqsg4bdV8IAqQAWO7dkBGBvDRR0xnJSL3YNc1kERE7s44bTUqCoiLk+ln5rRamYLWoYNMS2PHj4iMKW2Jkra6cWPF2UVlMGrUKK6JJCL3wQCSiOg28zWPGzfKS3ZUllKmdP40GjmD0LMnsG9f7ZaZiFyL8ZpHpS2paqdVrVamwHNNJBG5CwaQREQoX/N4+LDsxFm7tb4SRJaWys7isGGcPSCqz5Q1jydPVh88GtNq5ZpIoHxNJNsSInJFDCCJqN6rbs1jdbRaYNMm2VnkJT6I6q/q1jxWh2siicgdMIAkonrN2jWP1enUCfjpJ17ig6g+snSpDktrHqtjvCYyPJzprETkmhhAElG9ZZ62Wt2ax+oYr4k8eRJYtYqdP6K6ThmEWrdOXpLDlrRVS5Q1kTEx8j7TWYnI1TCAJKJ66U7TVivDS3wQ1S9Ll8qZwvBwYPToOwsejTGdlYhcFQNIIqp37JW2WhnzS3wwnZWo7lHSVpOS5P3eve8sg8EcL/FBRK7Ky9kFICKqTfv2yZ1SvbzkekV7zRaYUzp/zzwjZyfOnAH27nXc5xFR7VEGoY4elffbtbPvIJRCSWc1TrcfPrxm6yuJiOyFM5BEVG9kZsrgUa8HSkocH8xxQwyiuslRaauVUS7xUVgo0+45E0lEzsQAkojqBWXGwNNTbnKxaVPtjOBzQwyiusPRaatVmT4dmDhRpt0znZWInIkBJBHVacbb6+v1csbgp5/kZTdqEzfEIHJvxrutZmQ4Lm21Mspg1MaNchAsIwPo2VOm5RMR1SYGkDZSOqOcQSByD0uXAu+9J9O+bNpePzVVbs0aEgLcf7/8f4cOlu/36CGPrwLTWYncl/HGW5GRNqStmrcjlbUh998PPPJIte0IUN6WlJbK8gwbxv4IkTuoSzEEN9Gx0fvvy9HH/HxACHYAiVxVZqY8P5OT5eU0oqLMOnypqcDs2cCFC0BWlnxCiPL/Z2fL/wNATo7pm5vfT0mRnT9AvjYgALhxQ74+Kgr4xz8Anc4wg/DSS3IWUklnnT6dG2IQuSplA5uTJ+XpXGEDm7VrgZdfBpo2NT33q2pHLLUphw+XB5Dm7VFAABAUBCQkGNqSTZvKNwQbPlyOY7EtIXJNxhtveXoCgYFAfLyzS1VzDCBtNGECsGOH/EPCzh+RazLfIbFDB+DTmalo+mejgFGlkp02IeRBljp3wcHyX/Og0Py+SiU7iubvA8jgctAgOctwO6B8ec4/sHevDkePykCSu7MSuSaL14vNTAWGPQ+cOiVP2lOngIICOR1ozFI7Yh4U2hpsJiXJKDYgAJ2CgvDr8gSMeFvHnZ6JXJjxIFSrVnJPhAkTnF2qO8MA0kbazFTsKnwe16+fR/zJBfgoYwwbbCIXs3Qp4H0wFZtLZyPC+wJCD2bBc4xZwAjInFYlsDPv3Gm1htH+aqWmAs8bdSjNg8uLF8s7lykpaDr6EewsAy56aHG+RIuFpxLQs6cOmzbV/tpMIqpIyWBISZF/978reB53l56Cz9da4L8WAj0lzcE8KLyTdsQ82DxwQAaqhw8bXtI0KQk7IqJwwSMAWflBmHswAUuW6JgdReQilEEo/6Op+PjGbNxzIRcRR4KAzARAa0W74KIYQNrqnXeg3vczfAC8UzoRcWUrUJwCnIwMQt77CWg7yn2/DETu7vL/UpEzeTYmXryA8ILT8EUBVMYHGAeMRqmld0ynkz1NS8xTZW/PVnoC0CIHYTiMf+elAgI43z0Klz//B5oOYDtC5ExJf1mLl7a/jCseTRHqlY3goizZlhy3MKtoS5BYlaraEaBiquztgNLn+GFEAGgF4AskIeNfUTi+WYvg5QlsS4ic6Pi6VOgnzMZikYu7S06hUWkOoAdwUSXbkPXrnV3EGmMAaasXXwTOnoXqwAH4FBSgw82fDU9dGZOKwnfugbppkH3+mBCRddauRcn/vQzvKyWIKsmBCnKWUajVUN1zj/0DRlvodMD27eX3zWYZVNnZCL49mxFclILsIYNwLqQVNG2C4Llwfu2Wlag+278fBS+/hqzjuRh68QDUKICmTA8UASpHBIy2GjNG3hRmAaXYfwC+hQW4p/AwxLnDKHosCYWdOkG90gntHlF9dXvQuPByLpoeOIU2ZeUp6CpABo46nYwn3BgDSFspI4S3vyCq3FwUHzsFr9wcNBE5wL4cCACq1FR5LANJIsdQZvZyc1G6/wA8CwsQBCDbW4PihiEI9cyB56IFph0uV2A+y5CaCtXzz6P0xClcv65CcPFFhGTpgSyg8PEjwIp/AUOHytX2bEuI7Cs1FZg3D3j2WZT1fwTqa1fRCoAAUKhSw6NNFHxaOilgrI5ZQOlxeyDtUmlTNLlyCmpRAOxNQcljg+B1dyuTTXiIyM6UweEDByAKCuADoMntp0qCguF97z116hxkAFlTRrMK3qmpKPi/2Ti9NxdhN0+hSVkORE4OVDt2yC+Ujw+wwAU7skTuyKiRRkGBHLABcAtqHPPphBaf/wNad0rbuh1QegIo/l8qTk6ejdDfU9GoNAce167IY779VgadHJQisg/jdkSlAp59FqrCAhRCjZMBHeHTNMj9UkDHjIHXmDHQAvh4wFo8vP1leKtK0OTSRYhLejn7wcFtIvsxGsjG+fMQt7OJClVqHPPpCG8foHXnIPguqnvnG68DaQ86HXx3bUeT4ykYH7od36j6Y59PN5Q2C5ML7LOygIkT5fZtVl7niYjMrF0LhIUBAwYAP/8MUVCAIk81Dgd0ww9+/fFU2I9Qpex2rw6fmaYDdGh7bjs+fGo7Ej37Y5/ngwDkbAhycuQW0IMGsR0hqqnUVHn+DB4M/PwzUFCAMrUaAHAJGrwa/B5CTqagbfp2t25LYj4Yg8XTszDzvv/hx4BYXPMMhgAglHbkkUdkKu7atc4uKpH7UdqRRx6R59PPPwNZWbjpGwy9KgzT/d/D9O4paHI8Bb67tte54BHgDKRdabXA3C91GDZsO7y8gIf8UvGax/NocfUAPAoL5BcMAH74AVixgjOSRNUxHt1TdiAEUNI4GNdu+iBevQAb/cagXbu6tRPyiLd1WBK6HXv3FuNFfI2ffPviwdbZaJB9Xg5I6fWcSSCyhVnmAiDbkZuFPnhXuwAdAPyxxQl8/LF3nWhHlGvOZmbq8Mwz2+G5PxUzb8zGPU1zEaE6X76L7MSJsj9Sh1LriBxq7Vpg8mR5QfjbShsH42RDHd70S8D/Luvk9WLrUJ/EEs5A2lmnTsBPPwHNmwNfXdRBV5yCx5v8gNzu/YFu3QBfX/ml44wkUdXWrgV69y4f3SsoANRqFHbujonNt6NtYCZ+iRqD0aPrVvAIlHf+PvpI3h+GzehwPQWXP9gqZ2GB8hlJziQQWabMEnTvbjLjCLUa6N8f/3x0O5p7ZGJl7kgAQGJi3buMjlYr28f8djo83Wg7/nRXCpb12YrCTrf7I4WF8veyY4f8HbE/QlSRcVsSFyf78Wo1Cjt1w7GW/TGh+XbE3NqOb67o0KEDsHFj3eqTWMIA0gGUBnvUKMDPD0i8qsMDWduRuSkFWLUK8Pdno01kSSWNNLp1Q0FMf7wz7Ec87LMbWzN1KCyU8eXixXW3odZo5L/NmgFeXsCQ13VY1mcrCmJuD0iFmaXJc0CKSEpNlX9bjdLLEBwMhIXh6sL3MKP9dqw7roNaDbRuLV+inG91jVYrO7QdOgAZGcBbiTo8rE7BsmE/yLZE2WE2K0umyHNwm6icpcFsf3/gvffwt4dT0CVnO7Zm6hAZiTo5oF0ZBpAOoswgfPGF/KPk5QUMHw68dGgMLm9MBvqz0SYyUUUjjZQUzO68Ha9t1eHkSXlFjrg4YMYMZxe6diQmyqyGM2dk528Abg9Ibd1antlQWMg1kkTGaxyVNM3gYPk3d/t2ZKZmYujnY7BunQymOnQon+mvy4wHtiMjgZMngTlf6PC3TtvlhoD9+8sBqYsXObhNVMVgNvr3x+WNyZhxcAySkuTDUVFykKYuD2ib4xpIB1NSWp95Bjh6VHYA9+7VYf367dBm3l7fdeiQXNOk18sXHTokO4Zci0D1gbLOMTm5PL2sY0fDmpxMrQ5LZsinjRvq+tJIA3IQav16OSiVnAwcPiwHpDZu1EFrdFkhHDrENZJUPynnQGqqnJUH5IkTHW04B/btA4b1lAO6kZFAjx7A9OnyMor1Qfm6SNl+nDwp25OXVDpM/49Rn0T5HSqD20a/Q6I6z8IaR/j7G/Yuycws79MDchCqvsw6GrP7DOTcuXOhUqlMbpq6mhdiJeORv/Dw8s5fpvb2pUC2bgViYyvOSHIWgeoy411Vv/mmwowjtm9HplaHZ56ByWxBfQseFUrnLyZGTjaePHk7q+Els7bEfI1k795cH0l1l/GM4zfflAePYWHAtm2GdmTGDGDIEDm2UlJS/2YLjJmntH70kewQG9oR8xnJHTuAXr1kxM0+CdVVSltiYcYRycmG4HH4cNmPDw+vXymr5hySwtq+fXtkZWUZbocPH3bEx7gVqzp/lhptdv6orjFupPV6IDsbCA01aaQBYN8+oGdP4PffUe/WFlRl+nS53DEqSmY0GDp/mZAzBFu3yt+l+aZdHJCiusZ4nWNWlmxHlA7f7SweZbZg3Trg1i05KblpE9uRSge2lXbEeHBbSZFPSeHgNtU95oNQlQxmz5hRPnNfH/ZgqI5DUli9vLzq/axjZaZPB4SQ38mTJ2WjLYQMLg2NtnFKn9L54zbbVBeYp4ao1TLP+x//MHyvMzPl+fDppzK21Gjq76yjJcZpaBVTWgGt0o4Apr/vHTuAgweZjkbuzzxlG5ADr2ZLP/btA4YNq5iyyrZEUtqSl16S+/spA9uG35PSlqxdC7z8spy6VZbbcKkNuTsr0t4BVEhZjYoqP0fqM4cEkKdOnYJWq4VarUbXrl3x5ptv4u6777Z4bGFhIQoLCw338/LyAADFxcUoLi52RPGcqmlTYMEC2f6OHg2cPi2DyZdfBp577vYucNHRMvXmv/+V39D8fNnxA4ARI4BPPpFrxJxEqZe6WD91mVPrbf9+4PXX5YJgIYBGjWRK1Jw55d/l4mLo9cCzzwLHj8vDWraUMwdNmwL18etWVZ0pbcns2cDq1cBvvwFPPw107WrUlowcCbRtK3/3aWmy4fn+e5doR+oqto8OZvx3EQBatQLuu0+2JdHRhnbk3XeBLVvkJWSbNQM2bCjfZdW8aup7nU2dCnh4AL/+CqSnA599Jgel/v1vo3Zk5EjZjj/1lGxHrl0D/vSn8t99Lbcl9b3O3JXL1Jt5O+LnJ7/sxn8Xb7clSl89MhJ46CGjv6+oe/0SW+pFJYQQ9vzw//3vf8jPz0dUVBQuXryIhIQEHD9+HGlpaQhW1vgZmTt3LubNm1fh8Y8//hj+/v72LBoRERERERGZyc/Px9NPP43c3Fw0bNiwymPtHkCau3nzJiIjIzFz5kxMtzDfa2kGMjw8HNnZ2dUWvi5QRkp//VWOcBQVAePGAW+8YXagMoOTlibXRwohc7SXLpUjg7WouLgYiYmJ6NevH7y9vWv1s6nmar3ejEerAbk+ycJotfFsQU6OnC1ITKy712SzhS11pvwef/xRzka2bi3XR5r8Hl2oHamr2D46gPlsQSXfWePZghYtKs4WVIZ1ZkrJavDxke2ISVaDwjirRNk92zyrxIFYZ+7JafVmw98+40woAIiIqOQcqIPy8vIQEhJiVQAJUQv++Mc/ikmTJll1bG5urgAgcnNzHVwq13LhghDduwsRHCxE585CzJghH6tgzx4h+vcXwtdXCEAItVre37On1spaVFQkPv/8c1FUVFRrn0l3rtbqTfmOhoXJ7ygg/2/2Hb1wQYjp0+X3vlkz+d1v1UqIvXsdWzx3UpM6mzFDiAYN5O+ze/dK2hIXaEfqKraPdmTl99S4LQkOlt//6dOt/xjWmSmb2uYPPxTC37+8rddoaqUtYZ25J6fU2549pv2RKr6jVvfF6yhbYjCH7MJqrLCwEMeOHUOYsrU8WWRpW23DLq2ZRgcqi9pXrZKjJ7x4OLmStWvl1mTKrogajcmOiMaWLpWbnJ08KdcWjBsnB7M7dXJO0esK411aT56U+28ZdldUVNaOcNdncgVV7Yq4fXuFjXJ69pRf2zNn5Pc+Lg6YMcOJ5XdzyuY6GzfKXVr9/OSszLBhZu0IIHfNTk4u30Fer5dtyeDB7I+Qcxm3I8abbd2+vI9xO5KZCe6yaiO7B5AvvfQSkpOTkZ6ejl9++QXDhw9HXl4exo4da++PqnOMt9WOjKyi8wew0SbXYun6Sf37V9lQJyXJw6Ki6vc12ezNuPMXFQWoVGaXDTJuS4zbEV7yg1yBpUtzmF3iByhvR5RrO/r6yvRVtiX2o7QlX3whxwK9vKoZ2Da+Di2vZ03OZMNgNgehasje059PPvmkCAsLE97e3kKr1YqhQ4eKtLQ0q19fX1NYzSnT6AEB1aSiCWHT9Lw9MHXEPTms3sxTmPz95WMW7N0rU6FCQmRqVExM/UoPsdWd1pl5KlqVv3MnpaLVNWwfa8jK1Hch5Pc3JsZ+qe+ss+opv/PgYNlMdO9ezTIbK+rxTrDO3JPD682G5RnK38fmzeXhzZvXv5RVc05NYf3kk0+QmZmJoqIiXLhwAZs2bUK7du3s/TF1npLSGhdXTSoaYHrxcM5GUm2pbNbRbKYAqHy2YP16zhQ4knkqWoULhhtjVgM5Sw1mC37/nanvtUnJkKo2q4GzkeQsxu1IFWnvgOms461bssn54gtmL9jC4WsgqeZsSkWrrNEePpwNNtmXDeuTjNcVrFvHhtpZlLYkJkau7WDnj1xCDVLflUGokhKmq9Y284HtM2eANWtkR3zfPrODzQe2L17kOmtynNRUYPLkGg1mcxCqZhhAuoE7arQzMtj5I/uxcn0SIBvq4cPlPi3cKMc1GG+ww84fOdUdzhZs2sTA0Rkq22BnyJBqBqRiY7nOmuzPeED71i0OZtciBpBuwqZd0Ywb7fBwpqLRnbuD3cyE4EY5roKdP3K6O0x95yCUazDfYKeggLvHUy0zT31v0cJiOwJw13dHYADpZirbFW3SpEoa7Y0bmYpGd+YOdzObPFl+DRk4ug5Lnb8qZyN5yQ+6U0x9r5M6dZId8TFjuHs81ZLKBqE2brTYjkyaxF3fHYEBpJtSGu3mzWVH/aOPqrjeG1PRqCbuYH0St9R3D8advypnIwFe8oNqjqnvdZpd9mvg4DZVp4bXh12/Xq7m6tCBg9n2xADSjRlfN/Lee6totJmKRrZKTZVfpGoaaYC7mbk7pqKRwzD1vV65o93jlcFtbvxHltzB9WGfeYa7vjsCA0g3p3T+tm61otFm54+soTTU588DTZpwfVI9UVkq2uDBFgJJpqJRdaxMfc/MlH+7unZl6ntdUOPZyNhYIDhY/t1hO0IKGwahKhvMXrmSg1COwACyjrCp0Wbnjyyx1FArf+DNGukePeRhXJ9Ut1hqR44fr2RGkqloZImVqe/GM47r18uvDlPf647Kdo/v2lWuSbMYSCp/Z9iOEFBx1rGKQSgOZtc+L2cXgOxLabSXLAFSUmSjffKk3PJ80yajk0lpsJUTNCurvNGOjgYSEiqkKlIdtnZt+TWUANlQK9+D2zIz5ffq009lI+3jIw/p0UNeHoKdvbrDuB25eRM4dEi2IwcPArt3m80MKalos2fLA5UBqePHK2xqQHWckvr+228yB9XfX05jV7LO8dAh2dlr21a2J//8Jzt8dYkyIGX+t+Ojj2TdV/jbofy9OXRI9kf0evl/Cxu2UR2Wmlr+98R41tFC4Gjc1y0tLb/ED9uRWiBcTG5urgAgcnNznV0Ut3fhghDTpwvRvLkQvr7y37g4IWbMkM8Z7NkjRP/+QoSFCSH/7Mv/79lj8X2LiorE559/LoqKimrnByG7sFhvSt37+sp6V6vlfaO6V75H3bsL0ayZEMHB5d8lk+8R2Z2rnGsXLsj6DwiQ9d+9u4V2RIjy71NwcLXtSF3lKnVW6z78UAh/fyFUKiE0mgrtiBCmbUlwsDy8e3fntyP1ts5q2d69sr47dy7/W9KqlXzcxJ49pv0RC98n1pl7qrbelHakirpX2pHOna34m0Q2sSUGYwBZD+zdKxvpkBAhGjS4s0ZbCDbc7sqk3owHDVQqWd/+/rLxNmJ14EAO4UrnmqXOf+fOlXwf+vevth2pq1ypzmqF+SCUv7/FwHHiRDnwFBIigwdXakvqXZ05maXB7SoHti38jWKduadK660Gg9n+/q4zCFVX2BKDMYW1HlA2x1DS0b76qny7/sceAxo0uJ1GUlkq2g8/WExDIje1fz/w+OPlqSHG6aq300P27QOeew4oKgLOnTPdEZGpqvWTcTqakn54/LjcHn33brN0NKai1Q/mqe9KyqrROkclxezQIbnDb1gY8OSTTHuvz5S25JlngGHDgBs3ZFprUpJRKrPxMpvZs+W+Dcru8R9/DMyf7+wfg+zBOF1Vr7eY+q60I8nJ8m+Or6/sj9x/v1H/lW1J7auFgNYmnIF0PKtmJKsYVebIn3sq+uUXWW8REZWmKhuPDHt5lY/uucpMQX3jquea8j2Ji6tmRtLKrIa6xFXrzK6qmS2wNOPYubP8rlTIfHEB9aLOXJTxrFJAgBCenpXMSJqlNha1aiXr7JdfnFZ2sl2Fc62abBXj/ipnHB3PlhiMu7DWQ8bb9T/zjOkFxCdNur3Totbskh+3bpXvirZ/v7N/BLJVairw1FPy/3p9hd3MKttZlTsikiXKDMLKldXs2Kqt5FpvvXvL2StyL9VcyDtTq6t0Z9WtW+VMNTe3IGPGOz8/84xsJgoKLOzYar57/MWL8g2eeoo7tbqj/ftNd9k1ujSH0o5MmmS6s+ro0by8jythCms9pTTagExXNE4jAYx2WhwzBmjXrnxnvR075An/wQfOKzxZzzg95No1+ZhGA3z6KTK1OpnW/O/ytGburEq2qmrH1qQkICZGh+n/2Q5tZiWpaNzx2T0Y79gNmKS+Z2p1mBcHfP217Px7eHBnVbKNVivHqyvbsVWmKxq1JSNGyBfq9dw93h09+iiQkyP/37KlYcdu4/5oQYG8ChB3VnVNDCDJZI2kkmOuXENSabRfXrERTf9u1PkDgKFDgfh4Ntiuynx9UqtWAIDsf36Cue/rDJ0940b6sceA115j4Ei2MR6QMl8jee4csGED8NhjOrz2n+3Q7jT6Xu7YISNNdv5cVxVb6u/z0BnWSh8/zjWOdOeM10cq360zZ2QzAZQPSs345ydA8e1rA6anc521O0hNBebNA559tvwasTExuDw1AQv+qzMMZmdnAyEhMpDkGkfXxQCSAFS8XpNyXZ3yRluHmJjt+NuAtWjw+nT54LffAomJMgL9xz/YaLsK400HlOgwJgbZL8wHirMw8u2OSE0t7+yxkSZ7Mp+RVGa3y2cSxqDtE+0w6cJs+J7gJjsuzcL1YQvaRmOFNgEn/q0zyVy4917OOJL9dOokM6HMN1BRNu5KTe2IF1/MQvY/P0HYs4/zWtaubO1a4OWXgZIS2ZY8+yzg74+rc5Zi1tEx+HpixcFszji6PgaQZMI8kDRvtJPCx6BTRFs8htuLW65eldEmG23nq2Q3s6tvrkDCb2OQklCMl1/OwunTTC8jxzJPka84k6DDunu3Y1SfVDyfOBiel9j5cykWBqEKusdgaeMErNijQ8ERZi5Q7TDvkyhp8qdPy+eHJXTEiD5bywekuHu86zBvRwBDJtRfI77Gvo+6mGQucDDbvTCAJIsqa7QPHQJOqDriMWRhXZdlGPrjy2igLoGnsjkGG23nMFufVNJMg+M+0VjYIAHHPtIhIwMoLZWHtm4tl56xgabaUNVMwlsZOuxtshVTCmejs/ch+Fy83flLSmJmgzOkpgLPPw8cOAAUFEAAKPLyx/oeK/DvgjE49A07e+Qc5mnyTz8t/3/qFJBwUoclftsx/oFUPH10NqL0yfDgOmvnsTCYXaZW47cmnfBJ12W4F1n45ERHlJYyc8GdcRdWqpL5bovPPCNHnAHg/1JHQiuyMK7Z/3C8RSzK1L7lm2MY765FjmO0K6LIyoIAcM0vDBNDt6Hb1e34+KQOx44BkZHlm7B+9BE7fFT7lLZk61YgLg4YNUp+L7dk6PDQje14wmMr0u6KRZGnL0RhYXlmA9sSxzPeXfXnnyEKClDkqUZKw/74o1cyXvh1DM6ckZkLXboAX3wh/yZwd2ZyBq22fMO/J58s30l+4bc69L61HXM1q5Dv4S/bkR072I7UJmUwe8cOICsLJU1DcaR5fwwK+hEPFu/G0u86AgBCQ7k7s7tjAElWU3ZJ++47eV/Zun9LRsVGW7DRdqzUVKB7d+ChhyB27IDIykK2lwaJHv0xSGzFVxd1aNsW6Nix/FIc77wjX6oMABA5g6VBqbAw4NcyHbpd245pvqtw0UODPHUIhF4v25LBg9mOOMratUDv3oZ2JM8nGBc9wjDN9z30K9mOfR6yLWFnj1yJ8nfsnXfkgMaDD8qNWSMjgaXZY/AwkpGk7o9r/mHl7cgjj7BP4igWBrOv+pYPZu/I0cHXt3zz3O++k38DOADlvpjCSjZTGu4NG4Bly8rTW5ceGoPtoh0SPGajo+chBOuzoNLrUfJzKry76ZhGYg+3U0NK9x+CxyWZrlqoUmO3dwxeUyVgv48O994LjI6pmFpWXOycIhNVxnzr/ps3gW1fjcH7hWOgK03FFtVghIosiKwslD42CF4duT7SbpS2JCkZHoUFhnbkb2UJ2KPSIawxMPoxpqmS61PS5AHZlsybB3z9tQ4jCrbj3pup+FRpR3JygB07IL7/AR4rudTGLlJTURj3PFQHD8C7VK5zvOihwUERjbklCTh7ezBbSVPt0EFe7ocD2e6PASTVmEZjuiZh3jxg714dXsV2NDmbijVXByMMWfDKzYHYsQO3En/ApfgVaPUaG+2auPy/VHgPG4ygW1nwAJCDYBTBB3O8FuBY5zG4/36gGzt75IYsbboTGanDX77Zihcuzcb9OITQS3IWofCbJJTc1wkN/sP1kTVx9e9r4fG3l+FRWoIGBTlQQeAm/DHVawWOdR6D1pGA6gzXJJF7qjgopcNftsh2pCFy8QAOwPdWPgrHT0R6/McIXp6ApgPYjtjq8v9SkTN5NjSXDyEoXw5mF0CNHz1jsLBBAk4E6hATA/QMNe2TcCC77mAASXahNNqA0nDrsPLYVjz83WwElOTivtID8CvLR2j8RBz598fY+mACrkToGOxUITMTWPNcKnp/OxtNvXPROO88GhbLhlqPMMxsuxXHAnTQ6YCN3AGR6gjj2YR9+3R47rntiLyainFnZqN7cTL8RAHUh1Nw7Q+DcL5RNP4ekoDn1ugY7FRh3z7gn+NSMTV7Ntrok6EWcqZADw2OekdjaeMEhD+hYztCdYbJoNTE2+1IJNDkq7V44+pk+JflI+rcDuQOSsVllQ82dVmA093HsE9SBSUoDz6XiglbB6NNiUxVzUEwiuGDFS0X4NIjY/BAA2Atf491HgNIsrvyhluHzMztWLIE2PfzWoxOmQw/kY92GTugyUiVDc5G2eAATJUCjGdfAO+DqXjj8GBoIINGASDHS4NT/tFI+mMCFr6rq9e/K6r7yndw1WHJku049fNaPP7zy/ASJWhy6yI63NqBf2Yl4Wj3Tnit7z/w9SU5oFLfLylh3I7cm5+K2G3P45/FB+ALGTgWQI2T/p3w1SP/wJUIHd6v5+0u1W2mg1Jj8MK4dpiaPRva7EMIuT0oO2b3RPyc+jFe/irBMDBb39sR46UFzX5LxcPfzcaTJbkILzuPYCF/bzleYXh/8FZOCNRDDCDJocqDyTG4/L92yLid8hB8O+XhlfMTcej9FchFEOZ7J2Bwks6QlVbXA0qlcb50CTh2TG5nfeWbVMRfmo2GKbmI8DiPZreDx+s+wcjU6hC8PAE9BujQw8llJ6pNxu1IZuYYfPR/qYj9fjZaZybDr6wAnYtSoP3fIPRANBKOJGD4IR0iI+V5VR86gsYBY0AA8NVXwF1ZqRj1s0z/1dzu7BV5qHHqrhjs/EMCRrytw6t1+HdCZEmnTsB/DukAbMfl/6XizLjn0fzyAfiJAsQU7cD9x1Pl0pBDCzD80BhDO3LvvXLn0PrQJ7l5U96SkoA211Mx88ZsdCxNRQhyDMfm+mmgD41G8PIEvMoU4HrJYQHk8uXLsWjRImRlZaF9+/ZYtmwZHnroIUd9HLmBpgN0aHpuu8mia9/SAnQp+xkCQM/CHzD18AqsPzEGZWXyNUlJsuF29wbcvGE+dkw+npEBXLsGRBenYtS+2eiMVAQrjXQZUNpMA6+O0WiYkICGXO9FBK0WeHG97ABi7VqU/N/LKMgrgaZAjzDo0bUkFfv36vC3PQnYXyYvY3PoEEw6ggEB7jlAZWnQSQkY9Xpg716gq2cqNhU9jw6l5TOON32D4dfQB+pFC3DfmDG4z8k/B5EraDpAh6YXUwwbSpXtP4Tg25vT/atkIg7vWYErPwdhDhLw6WEdAgPl5oExMfK8A9yzHQGM960ob0dSU+X1eQGgQ2Eq3i+ZjQc8DiG0TA+ZAwWUBAXDu5sOjRIS0Ih9knrNIQHkhg0bMG3aNCxfvhw9e/bEqlWrMGDAABw9ehQtWrRwxEeSO9HpoN5b3mgjNxdi/wH4F+bjX6UTMStgBS7dCsLLRQnYf1yHw4eBkhLg8GGgUSMZVALljd7Nm8AZF9j0wVKQeO+98rmkJHkB7oICoKhI/jy+vsCTkamYVfo8Wlw5YFiXBACq4GBAp4MXd5wkqtyYMfAaMwYNlGuPZWWhUWkOHi7dgR0+qSiED95tugCrzozB3r3l7YjX7b98SUny9DI+X11hkMpS506ZESgoAPLyyn8WHx8ZNK71nI27GuSi2a3zCCqVnWCVWg3ExKAB2xGiyul0wPbt8ExNBZ5/HjhwAOqCAuhKfgYA9FYlIaNhJ0zz+Ae+0evw6afyvDMe6DZvR1xlkMo4OwEoL9+ZM3Jg7dat8nakrAzoWJqKherZ6OCRikDkAGWASqMBWrUCgoLgzbaEbnNIALl06VL85S9/wbPPPgsAWLZsGXbs2IEVK1bgrbfecsRHkju63WgDgMfatcDkyVDn56P1xZ8RCeBbzyRc8o9CTkMtFgfJRstSo1dUBJSWAkOGyJFB4wbcvEG3paNYWcNb2ftaChIPH5avLS2V17obNkyuJej/02yE+uUi4uJ5eObIzh7UannhxqAgXqqAyBY6nbxI4ezZUOXmAufPo2GWPK/m6idifOMVyAsOMrQjx47Jkfbjx4ETJ0zP18oGqYwHhIzPfaDqjmJlA0tVvW9V7VxYmLzc2rFjwKPNUvHk4dlomZ2KgMIcqApvf2hwsHzRggW8VAGRtXQ6IEUObqtuD27jwAH4FhTgnuwUfB70CK6pfLBJtwAHOowxzNhZakeqGqSq7NyvLt2+soGlqvomxtkJgGk717atfExpRxrmX0Bo7ml4FxZApXxoWJhsW9kfITMqIYSw5xsWFRXB398fn332GZ544gnD41OnTsWBAweQnJxscnxhYSEKCwsN9/Py8hAeHo7s7Gw0bNjQnkUjOykuLkZiYiL69esHb29v+73x/v3A66/L4fXDh2UkplCrgehoZM98GwlfdcT+/UCbNuUN5o8/ysOvX5cNpJdXeaersvsNGgB+fkCvXuXvc+JE+fvu2AFcvAh4eMgiVPe+paXy0ib9+5u+FwCkpwP/enY/oja8Ln/OK1fKf7YmTeSbzJ0LjBxpv9+nGYfVGzkM66yG9u8H/u//LLcjrVujsIkG/9bMwenAjgBMz9f0dCAtTQZvls53wPTcV2YhoqJkBkRhYTEGDkzEl1/2Q0mJt6FtKiysuj0yft+gIOCuu+Rjxu2coR15//9klKlSybZE+TPepIkchJozR/5LVuF55n5qrc7++18gPl6enDm3l5eo1cD996PQt2Gl7ciJE8CpU/Jwlcq6c9/XF7jvPiAiwrQvorwvIN+zsrbJ0n0fn/J+DlD+vs2aAS/d9V80euf2z2bcjtz++dCwod3bEp5rri0vLw8hISHIzc2tNgazewCZmZmJu+66Cz/99BN69Cjf6uPNN9/Ehx9+iBPKWXDb3LlzMW/evArv8/HHH8Pf39+eRSMiIiIiIiIz+fn5ePrpp60KIB22iY5KpTK5L4So8BgAvPLKK5g+fbrhvjIDGRsbyxlIF1XrI0jGI4CWRsmAGo2UHTwIvPSSHO2zNAMZECBTWDUaG8qqzKJmZcm8EZWqfNQSkHmzLVo4ZGSvOhz5cz+sMztS2pGQEDl7Zzwz2aSJ/Ld1a+Dtt206L/V64N13gfx8ed98BjI9HVi8GIiOvoPy5uTID7JDeakinmfux2l1VlWmlHJehoXJjoONf+OVtuTyZcszkJ06AS+/XMM+SV6ebPeMs58AQ3ZXbbUjPNdcW15entXH2j2ADAkJgaenJ/TGf+wAXLp0CaGhoRWOV6vVUKvVFR739vbml8vF1VodjRkjb8qmOxcuAKdPy+1Lv/++/LiUFNlwZ2XJfLJ//KPKvH2drnytU40ZlykrqzxgNJ7YDw6W/1pRptrAc8v9sM7sQGlHAGDtWtkTa9oUyM6W5y8g/x0yRAZtWVlyMZJWW+Wa5PBw2fdSFBcDX38NLF9uQ50pm3ecOiU/LyAAOHBAdk7PnZPHuFg7UhfxPHM/tV5nXboA27bJ/1fVjgBAYqI8XwMCrNrbwLwtqRHjMgUEyDbFeBAbkG3JPfc4db8FnmuuyZY6sXsA6ePjg86dOyMxMdFkDWRiYiKGDBli74+j+sRo0x3jHVwNDaRyA2QwOWiQaUcwIAC4cUMeY8vmEpY6dzduVB4wajTln8vOHpHrMQ4mjc9vlUoufFYGQHNy5CxDaqq8r9XKc93K4NJEde1Idnb5ZyrUatmG2PI5RFQ7KmtHtFr5b0FB+U56gByxVgJK5dyvSTui9H0A0/cxHngym8RxhaCR6haHpLBOnz4do0ePhk6nQ/fu3fHee+/ht99+w6RJkxzxcVQfVRZMGnfIzDuCxiZOBBYtqhhcWrpfWedOwYCRyH0pOy8CFTMKtFp57t/e0dXk/LcUXAYEyCnIOXOAHj1kR66691EoM4zK+7CjR+Q+jNsRoOJMoBLYGQeUQHk7UllwaX4/M9Ny+2Fp4EnZJpptCTmAQwLIJ598Ejk5OZg/fz6ysrJw33334euvv0bLli0d8XFU3xkHkwpLHUGlIT59WjbkR47IY80bY2s6d0qDzoCRqO6orC0xnlkwnoG0FBT6+cl/la1cjZ9jO0JUPxjPTgIVA0rjoNDSbCVQdd9EmVE0DzYZLFItcdgmOlOmTMGUKVMc9fZEVbPUEVRUFVxaus/OHVH9ZT6zYMxSWmpxsXyufXvTGUimoRLVX+YBpbGqgktL9xkkkgtwWABJ5LKqCi6JiKxlKbhUdtHZvRvgJhFEVJ2qgksiF+VyAaRyWUpbtpKl2lVcXIz8/Hzk5eVxFy03wnpzP6wz98M6cz+sM/fDOnNPrDfXpsRewnhjyEq4XAB5/fp1AEB4eLiTS0JERERERFR/XL9+HUFBQVUeoxLWhJm1qKysDJmZmQgMDIRKpXJ2cciCvLw8hIeHIyMjAw0bNnR2cchKrDf3wzpzP6wz98M6cz+sM/fEenNtQghcv34dWq0WHh4eVR7rcjOQHh4eaN68ubOLQVZo2LAhGwA3xHpzP6wz98M6cz+sM/fDOnNPrDfXVd3Mo6Lq8JKIiIiIiIjoNgaQREREREREZBUGkGQztVqN+Ph4qNVqZxeFbMB6cz+sM/fDOnM/rDP3wzpzT6y3usPlNtEhIiIiIiIi18QZSCIiIiIiIrIKA0giIiIiIiKyCgNIIiIiIiIisgoDSCIiIiIiIrIKA0iqVlJSElQqlcXbnj17Kn3duHHjKhzfrVu3Wix5/daqVasKv/9Zs2ZV+RohBObOnQutVgs/Pz/ExMQgLS2tlkpcv507dw5/+ctfEBERAT8/P0RGRiI+Ph5FRUVVvo7nWe1bvnw5IiIi4Ovri86dO+OHH36o8vjk5GR07twZvr6+uPvuu7Fy5cpaKim99dZbePDBBxEYGIhmzZrh8ccfx4kTJ6p8TWV/844fP15Lpa7f5s6dW+F3r9FoqnwNzzHns9TnUKlU+Otf/2rxeJ5n7s3L2QUg19ejRw9kZWWZPDZnzhzs3LkTOp2uytc+8sgjWL16teG+j4+PQ8pIls2fPx8TJkww3G/QoEGVx7/99ttYunQp1qxZg6ioKCQkJKBfv344ceIEAgMDHV3ceu348eMoKyvDqlWr0Lp1axw5cgQTJkzAzZs3sXjx4ipfy/Os9mzYsAHTpk3D8uXL0bNnT6xatQoDBgzA0aNH0aJFiwrHp6en49FHH8WECROwbt06/PTTT5gyZQqaNm2KYcOGOeEnqF+Sk5Px17/+FQ8++CBKSkrwt7/9DbGxsTh69CgCAgKqfO2JEyfQsGFDw/2mTZs6urh0W/v27bFz507DfU9Pz0qP5TnmGvbs2YPS0lLD/SNHjqBfv37405/+VOXreJ65KUFko6KiItGsWTMxf/78Ko8bO3asGDJkSO0Uiipo2bKleOedd6w+vqysTGg0GrFgwQLDYwUFBSIoKEisXLnSASWk6rz99tsiIiKiymN4ntWuLl26iEmTJpk81rZtWzFr1iyLx8+cOVO0bdvW5LG4uDjRrVs3h5WRKnfp0iUBQCQnJ1d6zK5duwQAcfXq1dorGBnEx8eL6Ohoq4/nOeaapk6dKiIjI0VZWZnF53meuTemsJLNtm7diuzsbIwbN67aY5OSktCsWTNERUVhwoQJuHTpkuMLSAYLFy5EcHAwHnjgAbzxxhtVpkOmp6dDr9cjNjbW8JharUbv3r2xe/fu2igumcnNzUWTJk2qPY7nWe0oKirC3r17Tc4RAIiNja30HElJSalwfP/+/ZGamori4mKHlZUsy83NBQCrzquOHTsiLCwMffv2xa5duxxdNDJy6tQpaLVaRERE4KmnnsLZs2crPZbnmOspKirCunXr8Oc//xkqlarKY3meuScGkGSzDz74AP3790d4eHiVxw0YMADr16/Hd999hyVLlmDPnj3o06cPCgsLa6mk9dvUqVPxySefYNeuXXjuueewbNkyTJkypdLj9Xo9ACA0NNTk8dDQUMNzVHvOnDmDd999F5MmTaryOJ5ntSc7OxulpaU2nSN6vd7i8SUlJcjOznZYWakiIQSmT5+OXr164b777qv0uLCwMLz33nvYtGkTNm/ejDZt2qBv3774/vvva7G09VfXrl2xdu1a7NixA++//z70ej169OiBnJwci8fzHHM9n3/+Oa5du1blRAPPMzfn7ClQcp74+HgBoMrbnj17TF6TkZEhPDw8xMaNG23+vMzMTOHt7S02bdpkrx+h3qlJnSk2btwoAIjs7GyLz//0008CgMjMzDR5/NlnnxX9+/e3+89SX9Skzi5cuCBat24t/vKXv9j8eTzPHOfChQsCgNi9e7fJ4wkJCaJNmzYWX3PPPfeIN9980+SxH3/8UQAQWVlZDisrVTRlyhTRsmVLkZGRYfNrBw4cKAYNGuSAUlF1bty4IUJDQ8WSJUssPs9zzPXExsaKgQMH2vw6nmfug5vo1GPPPfccnnrqqSqPadWqlcn91atXIzg4GIMHD7b588LCwtCyZUucOnXK5teSVJM6Uyg7c54+fRrBwcEVnld2udPr9QgLCzM8funSpQqju2Q9W+ssMzMTDz/8MLp374733nvP5s/jeeY4ISEh8PT0rDDbWNU5otFoLB7v5eVl8Twkx3j++eexdetWfP/992jevLnNr+/WrRvWrVvngJJRdQICAtChQ4dK2zSeY67l/Pnz2LlzJzZv3mzza3meuQ8GkPVYSEgIQkJCrD5eCIHVq1djzJgx8Pb2tvnzcnJykJGRYRKckG1srTNj+/fvB4BKf/8RERHQaDRITExEx44dAch1DMnJyVi4cGHNCkw21dmFCxfw8MMPo3Pnzli9ejU8PGxfZcDzzHF8fHzQuXNnJCYm4oknnjA8npiYiCFDhlh8Tffu3bFt2zaTx7755hvodLoataNkGyEEnn/+eWzZsgVJSUmIiIio0fvs37+f55STFBYW4tixY3jooYcsPs9zzLWsXr0azZo1w2OPPWbza3meuRFnT4GS+9i5c6cAII4ePWrx+TZt2ojNmzcLIYS4fv26mDFjhti9e7dIT08Xu3btEt27dxd33XWXyMvLq81i10u7d+8WS5cuFfv37xdnz54VGzZsEFqtVgwePNjkOOM6E0KIBQsWiKCgILF582Zx+PBhMXLkSBEWFsY6qwVK2mqfPn3E77//LrKysgw3YzzPnOuTTz4R3t7e4oMPPhBHjx4V06ZNEwEBAeLcuXNCCCFmzZolRo8ebTj+7Nmzwt/fX7z44ovi6NGj4oMPPhDe3t41WgZAtps8ebIICgoSSUlJJudUfn6+4RjzOnvnnXfEli1bxMmTJ8WRI0fErFmzBACmhdeSGTNmiKSkJHH27Fnx888/i4EDB4rAwECeY26gtLRUtGjRQrz88ssVnuN5VrcwgCSrjRw5UvTo0aPS5wGI1atXCyGEyM/PF7GxsaJp06bC29tbtGjRQowdO1b89ttvtVTa+m3v3r2ia9euIigoSPj6+oo2bdqI+Ph4cfPmTZPjjOtMCHkpj/j4eKHRaIRarRZ/+MMfxOHDh2u59PXT6tWrK10jaYznmfP961//Ei1bthQ+Pj6iU6dOJpeEGDt2rOjdu7fJ8UlJSaJjx47Cx8dHtGrVSqxYsaKWS1x/VXZOGbd75nW2cOFCERkZKXx9fUXjxo1Fr169xFdffVX7ha+nnnzySREWFia8vb2FVqsVQ4cOFWlpaYbneY65rh07dggA4sSJExWe43lWt6iEEKKWJz2JiIiIiIjIDfEyHkRERERERGQVBpBERERERERkFQaQREREREREZBUGkERERERERGQVBpBERERERERkFQaQREREREREZBUGkERERERERGQVBpBERERERERkFQaQREREREREZBUGkERERERERGQVBpBERERERERkFQaQREREREREZBUGkERERERERGQVBpBERERERERkFQaQREREREREZBUGkERERERERGQVBpBERERERERkFQaQREREREREZBUGkERERERERGQVBpBERERERERkFQaQREREREREZBUGkERERERERGQVBpBERERERERkFQaQREREREREZBUGkERERERERGQVBpBERERERERkFQaQREREREREZBUGkERERERERGQVBpBERERERERkFQaQRETkNGvWrIFKpcK5c+ecXRQTH3/8MZYtW+bsYtSqmJgYqFQqPPLIIxWeO3fuHFQqFRYvXnzHnzNu3DioVKpKbz///PMdfwYRETmOl7MLQERE5Go+/vhjHDlyBNOmTXN2UWrdjh078N1336FPnz4Oef85c+Zg0qRJFR4fNGgQ1Go1HnzwQYd8LhER2QcDSCIiqlZ+fj78/f2dXQyHqy8/Z2WioqJQUlKCmTNnYs+ePVCpVHb/jMjISERGRpo8lpycjOzsbMyePRuenp52/0wiIrIfprASEZGJuXPnQqVSYd++fRg+fDgaN25s6PALIbB8+XI88MAD8PPzQ+PGjTF8+HCcPXvW5D0SExMxZMgQNG/eHL6+vmjdujXi4uKQnZ19R2Xav38/hg4dioYNGyIoKAijRo3C5cuXTY7dsGEDYmNjERYWBj8/P9x7772YNWsWbt68aXLcuHHj0KBBAxw+fBixsbEIDAxE3759ERMTg6+++grnz583Sa2siePHj2PkyJEIDQ2FWq1GixYtMGbMGBQWFgIALl++jClTpqBdu3Zo0KABmjVrhj59+uCHH36o8F4rVqxAdHQ0GjRogMDAQLRt2xavvvqqyTF6vR5xcXFo3rw5fHx8EBERgXnz5qGkpMSq8np7e+ONN97A3r17sWHDhhr9zDXxwQcfQKVS4c9//nOtfSYREdUMZyCJiMiioUOH4qmnnsKkSZMMwVdcXBzWrFmDF154AQsXLsSVK1cwf/589OjRAwcPHkRoaCgA4MyZM+jevTueffZZBAUF4dy5c1i6dCl69eqFw4cPw9vbu0ZleuKJJzBixAhMmjQJaWlpmDNnDo4ePYpffvnF8J6nTp3Co48+imnTpiEgIADHjx/HwoUL8euvv+K7774zeb+ioiIMHjwYcXFxmDVrFkpKStC8eXNMnDgRZ86cwZYtW2r8+zt48CB69eqFkJAQzJ8/H/fccw+ysrKwdetWFBUVQa1W48qVKwCA+Ph4aDQa3LhxA1u2bEFMTAy+/fZbxMTEAAA++eQTTJkyBc8//zwWL14MDw8PnD59GkePHjV8nl6vR5cuXeDh4YHXXnsNkZGRSElJQUJCAs6dO4fVq1dbVe4nn3wSixcvxuzZszFs2LAq68rawNTT07PSIDw3NxcbN25E3759ERERYdX7ERGREwkiIiIj8fHxAoB47bXXTB5PSUkRAMSSJUtMHs/IyBB+fn5i5syZFt+vrKxMFBcXi/PnzwsA4osvvjA8t3r1agFApKenW1WmF1980eTx9evXCwBi3bp1VX52cnKyACAOHjxoeG7s2LECgPjPf/5T4XWPPfaYaNmyZZVlqk6fPn1Eo0aNxKVLl6x+TUlJiSguLhZ9+/YVTzzxhOHx5557TjRq1KjK18bFxYkGDRqI8+fPmzy+ePFiAUCkpaVV+frevXuL9u3bCyGE2LlzpwAg3n33XSGEEOnp6QKAWLRokeF45TFrbrt27ar0c1esWCEAiP/+979Vlo+IiFwDU1iJiMiiYcOGmdz/8ssvoVKpMGrUKJSUlBhuGo0G0dHRSEpKMhx76dIlTJo0CeHh4fDy8oK3tzdatmwJADh27FiNy/TMM8+Y3B8xYgS8vLywa9cuw2Nnz57F008/DY1GA09PT3h7e6N3796Vfrb5z2kP+fn5SE5OxogRI9C0adMqj125ciU6deoEX19fw+/q22+/NSlrly5dcO3aNYwcORJffPGFxVTgL7/8Eg8//DC0Wq1J/QwYMACAXGdorb59+yI2Nhbz58/H9evXLR6j1WqxZ88eq26dO3eu9LM++OADBAcH44knnrC6fERE5DxMYSUiIovCwsJM7l+8eBFCCEOaqrm7774bAFBWVobY2FhkZmZizpw56NChAwICAlBWVoZu3brh1q1bNS6TRqMxue/l5YXg4GDk5OQAAG7cuIGHHnoIvr6+SEhIQFRUFPz9/ZGRkYGhQ4dW+Gx/f380bNiwxuWpzNWrV1FaWormzZtXedzSpUsxY8YMTJo0Ca+//jpCQkLg6emJOXPmmASQo0ePRklJCd5//30MGzYMZWVlePDBB5GQkIB+/foBkPWzbdu2SlNObV1/unDhQnTq1AmLFy/G+PHjKzzv4+ODBx54wKr3qmxjnEOHDiE1NRVTp06FWq22qXxEROQcDCCJiMgi8zVrISEhUKlU+OGHHyx29pXHjhw5goMHD2LNmjUYO3as4fnTp0/fcZn0ej3uuusuw/2SkhLk5OQgODgYAPDdd98hMzMTSUlJhllHALh27ZrF93PELqMA0KRJE3h6euL333+v8rh169YhJiYGK1asMHnc0qzf+PHjMX78eNy8eRPff/894uPjMXDgQJw8eRItW7ZESEgI7r//frzxxhsWP0ur1dr0MzzwwAMYOXIkli5dikcffbTC8+fOnbN6zeKuXbsM6zmNffDBBwCAZ5991qayERGR8zCAJCIiqwwcOBALFizAhQsXMGLEiEqPU4Iy8yBz1apVd1yG9evXm6RDfvrppygpKTEEJ/b6bLVafUczpX5+fujduzc+++wzvPHGGwgJCbF4nEqlqlDWQ4cOISUlBeHh4RZfExAQgAEDBqCoqAiPP/440tLS0LJlSwwcOBBff/01IiMj0bhx4xqX3VhCQgI2btyIefPmVXhOSWG1Rps2bSo8VlhYiHXr1qFLly6477777risRERUOxhAEhGRVXr27ImJEydi/PjxSE1NxR/+8AcEBAQgKysLP/74Izp06IDJkyejbdu2iIyMxKxZsyCEQJMmTbBt2zYkJibecRk2b94MLy8v9OvXz7ALa3R0tCGg7dGjBxo3boxJkyYhPj4e3t7eWL9+PQ4ePGjT53To0AGbN2/GihUr0LlzZ3h4eECn0wGQl//48MMPkZ6ejlatWlX6Hsqus127dsWsWbPQunVrXLx4EVu3bsWqVasQGBiIgQMH4vXXX0d8fDx69+6NEydOYP78+YiIiDDZ4XTChAnw8/NDz549ERYWBr1ej7feegtBQUF48MEHAQDz589HYmIievTogRdeeAFt2rRBQUEBzp07h6+//horV66sNqXWXEREBCZPnoy///3vFZ7z8fEx/E5q4vPPP8eVK1c4+0hE5GYYQBIRkdVWrVqFbt26YdWqVVi+fDnKysqg1WrRs2dPdOnSBYC8luC2bdswdepUxMXFwcvLC3/84x+xc+dOtGjR4o4+f/PmzZg7dy5WrFgBlUqFQYMGYdmyZfDx8QEABAcH46uvvsKMGTMwatQoBAQEYMiQIdiwYQM6depk9edMnToVaWlpePXVV5GbmwshBIQQAOQ6Sz8/PzRq1KjK94iOjsavv/6K+Ph4vPLKK7h+/To0Gg369OljKO/f/vY35Ofn44MPPsDbb7+Ndu3aYeXKldiyZYvJpkQPPfQQ1qxZg08//RRXr15FSEgIevXqhbVr1xo26QkLC0Nqaipef/11LFq0CL///jsCAwMRERGBRx55pMazkrNnz8bq1auRl5dXo9dX5oMPPkBAQACeeuopu74vERE5lkoofxGJiIhc1Ny5czFv3jxcvny50nTQ2qLRaDB69GgsWrTIqeUgIiJyBl7Gg4iIyEppaWnIz8/Hyy+/7OyiEBEROQVTWImIiKzUvn17u6dyEhERuROmsBIREREREZFVmMJKREREREREVmEASURERERERFaxOYD8/vvvMWjQIGi1WqhUKnz++ecmzwshMHfuXGi1Wvj5+SEmJgZpaWn2Ki8RERERERE5ic2b6Ny8eRPR0dEYP348hg0bVuH5t99+G0uXLsWaNWsQFRWFhIQE9OvXDydOnEBgYGC1719WVobMzEwEBgZCpVLZWjwiIiIiIiKygRAC169fh1arhYdHNXOM4g4AEFu2bDHcLysrExqNRixYsMDwWEFBgQgKChIrV6606j0zMjIEAN5444033njjjTfeeOONN95q8ZaRkVFtvGbXy3ikp6dDr9cjNjbW8JharUbv3r2xe/duxMXFVXhNYWEhCgsLDffF7U1h09PTrZqxpNpXXFyMXbt24eGHH4a3t7ezi0NWYr25H9aZ+2GduR/Wmfthnbkn1ptru379OiIiIqyKv+waQOr1egBAaGioyeOhoaE4f/68xde89dZbmDdvXoXHU1JS4O/vb8/ikR35+/vjl19+cXYxyEasN/fDOnM/rDP3wzpzP6wz98R6c135+fkAYNUSQrsGkArzDxZCVFqYV155BdOnTzfcz8vLQ3h4OGJjY9GwYUNHFI/uUHFxMRITE9GvXz+OILkR1tud0euB0aOB9HTgySeBN95w/GeyztwP68z91Gad6fXAs88CFy8CoaHAv/8NaDQO/cg6ieeZe2K9uba8vDyrj7VrAKm53Qrq9XqEhYUZHr906VKFWUmFWq2GWq2u8Li3tze/XC6OdeSeWG+2y8wExowB0tKA/Hzgxx+By5cBrbZ2Pp915n5YZ+6nNurs738HDhwAfHyAwkLZrqxfX3ttSV3D88w9sd5cky11YtfrQEZERECj0SAxMdHwWFFREZKTk9GjRw97fhQRUa3IzASeeUbOHNxzDxAdDVy9Kh/LzHR26YjIXWRmArt3y/8/+qicedTr2ZYQkfuxOYC8ceMGDhw4gAMHDgCQm90cOHAAv/32G1QqFaZNm4Y333wTW7ZswZEjRzBu3Dj4+/vj6aeftnfZiYgcyjh41GiAjRvlTen4DR8OvPQSO39EVLnMTGDGDNleXL0KtGsHxMfLmcfGjYGjR4ElS5xdSiIi69mcwpqamoqHH37YcF9Zvzh27FisWbMGM2fOxK1btzBlyhRcvXoVXbt2xTfffMMdVYnI7SxdKjt3kZGmaWbr18vA8vBheROCHUAismzpUuC99wC1GujQwbQt6dEDOHMGSEmRgSZTWYnIHdg8AxkTEwMhRIXbmjVrAMgNdObOnYusrCwUFBQgOTkZ9913n73LTUTkMMqMQVKSvN+9u2nHTquVncCoKNkpVDp/RETGlLRVtVq2F+brHadPlzOSV68yo4GI3Idd10ASEbk7JW113TogI0N27mbMqHicVivTWTt04JpIIqpIaUuuXpXtxMaNFWcYlcEojUbORH70EdsSInJ9DCCJiG4zXvMYGSkv21HVDonGnT9uhkFECvP109a0I6NGAeHhXBNJRK7PIdeBJCJyR8ZrHjduBLQ71wKdXwaaNgUCAoAbN4CsLNnjCwgAAGiDgvDpzAQMeV2Hw4dlGpqlmQYiqh/27QOGDQO8vIDmzYFPZ6ai6Z9nA7m5FduQ2/e1UVFY8o9/4CWVDh99xDWRROTaGEASUb2XmSlH/C99nYqPr87G3em50A6DvGBbQYGcRjCWk2Nyt2lqKjYiDKorOXj90AI888wYXtuNqB7KzATmDkzFSv1shHjn4r6GgHr0qQptRoX7KSnAoEF4MygEs67lYFH6AgwfPgY9esh1kmxLiMiVMIAkonotMxOYNygVIw7PxgMlqWgicgA95A0o3/3C0gzkqdsdw5wchEF2CJfmT8SxlBXIuC8I3usT0HSAzmk/GxHVnsv/S0XGM7OxOvd2O1IEqPYZHRAcDISFWZyBhEoFXLwIH70ewQDmXZyIQ5dXIPfXIGzISsCL69mOEJHrYABJRPVXaiqKBj2PZfoDUKMAqtsPq4KDgXvuAYKCgIQEQFdJ5y01FZgtU9NUN24Ap09DXVCABwp/higECgf+gKtLV6Dx1DG19iMRUS1LTUXB/82GavchPFikhwoCgFE7Aljflly4ANXtduTB0p8BALoNqSjI1MF3URWvJyKqRQwgiaj+ud1ZK91/CC0vZQEAij3V8HmwY/UdPWM6HbB9u8n7qmbPRuHlXIj9B+Bblg/VixNR8PnH7PwR1UWpqSgaMBjq7Cz4ALjirUFgh1ZQN7WhHQFM25Lb7Ujpr6nwuJqDRqU5EEk7UPLYQXh1jLbtfYmIHIC7sBJR/bJ2Lcr+0Btixw6oLmXhikcwcnzCcHPJe3Id0vbtNe+c3e4EqvemYHP/VciHP3xEIXySdqDksUHAI4/I4JWI3FtqKvDIIyh9bDC8suUg1GWPMIgvtkG91z7tiOc321EY0x9pgd2Q7RkGj0t6iB07UPrYYLYjRORUDCCJqH643eErmxgH1a18FECNJJ/+ePWB7ShKz7R7mmnMB2Pw3tPJ+CWov0nnD4PZ+SNya6mpwODBEDt2wONSFi55apDs2x9XP9xq3zXPOh18d21Hk+MpmBO9FZdUYQAAj0tZwCAOSBGR8zCAJKK6LzVVXl/jm2+gKixAPvzxVsv38PXz2xG/TeeQHQ61WuDF9Tq0PLodc6K3IttTdv5EFjt/RG7p9iAUBg+W5zGAy55hiI/ehqgz29F2lGPSSrVaIH6bDq/etxXfefVHtncYhP4isGOHbNfYjhBRLWMAaSvlDwg7f0TuYe1aoHdv4LffUNI0FD8H9ccTjZNxc9gYLF7s+O3xlc7frHbGnT+97PzNnu3YDyci+zAahBJZWcj21uA77/6Y1W6rwwahjGm1QMJ2HRJ6bcdk7Vb82jgWpY2DgfPnmdVA5C7qUAzBANJW77wjO37s/BG5NqWhjouDyM9HoacfJoZuw5/DtqM4WocZM2qvKFot0CRWh8d9t2Ok/1bk+ITJfRqVMrr5HxKiOu12yirOn0dpoyb4tXF/jPTfhsfV29G4n+ODR4VWC6xfD+RE6DAudDt+LdNBgFkNRG7BaBAK33wj4wk3xgDSRpdHvYi8Buz8Ebk049mCggIUePhjut8KfHVRB41GdsJq+8Lc06cDEycC+e10mBS2FXp1S4icK0xDI3JlSluSlQUBIBUyeMtvp0NcHGp1IAooDyI1GmAOEpDo2R95/mHARaa0Erkss0GoU3fH4vKoF51dqjvCANJGy3/VYWIoO39ELsuooUaTJjjRqj+GBCXjl6gxGD3aOcEjID9zyRJg40YgU6vDaN+N+DkoFqXNwoDffpNptmvX1n7BiKgio/WOyMhAUbDcKGdBQAI0Gnke10YKvCVKEJnfToenG23Hi5FbUdA7FghmSiuRy7EwCDXMfzuW/+rel+JhAGmjCROA35rpMNZ/I060jAXCwoCMDAaRRK7ArKE+3kCHUcHbcdBbh969ndfhM6bVAj16AL+U6jDIazumNN+KMl8/ID8fmDyZ7QiRK5g9Ww4QZ2WhRBuO4T7bMADbccBL57RBKGNarQxiO3QAUop16FO4HccDZUorsrLYJyFyBUqfJCMDJc00+LVxfyxqmIDgYBlPuDMGkDZSOn8HvXUYFbIdy/psRUlIM476ETmbhYb6hbwEZGQA7drVfqpZVZR01qgo4Pt8HRa0WIEyP3/g1i2uZSJyJrOlKaXNwvDXZhtx1F+mv2/a5PzgUWGcznrmDPBCbgJ+bdxfZjVwYJvIuYzTVkNCMTF0Gx7z2I5MrWsMQt0pBpA1MH267JBmZABvJeqwtziao35EzmS00yrCw/HPftsw2Hs7rtytc2raamWM01k1GuA/JWPweKNkFGpamK5l2r/f2UUlqj/27y9fO52TgysNW2JC6FZ8n69DeDjw009Ap07OLqQpJYgcNQq4crcOg7234x9/3Ao048A2kdOYp60W34+tmToUFgLdu7tWf6SmGEDWgHGDHRkJLGpoNOrHtUxEtSs1VaZ+5uejzNcP7/TciHXH5doCV0lbrYzSlpSWAolXdfgTNpavZfrtN+D1151dRKL6Y/RoOTIcGooTrfrj8eKN2JrpvI23rKUMSMXEyPvrT+hw3JcD20S1zmzttHHaalQUnLLxlqMwgKwh8w0xHvPYjgmhXMtEVKuUUb5bt1Dm548FLVZgwU6dS6atVkarlWlxGg1wLECHAdiOgg46QIjyGUjORBI5jnJ+3Q4eL/9HXu7nqL8OUVGuHTwaM86OYjorkROYrZ02Tlt15sZbjsAA8g4payILC4GtmWZrmdhgEzmG2ShfoaYFHm+UjNWlYxAZCZdMW61Kp04yPa55c0CvB6bkJOBKw5YQV67KA0aPZltC5AipqfL8AuTGWz73Y8jrOly9Kjeo2bjRfdoR83RWZWC7RBvO7CgiR0tNBQ4eBFC+drqupa0aYwBpB8YbYpisZeKoH5FjmI3y/QkbkXhVh5IS526vfyeMN8TYmqnD48UbcSq8j3zy99/lz0xE9qNkMFy4AADY26gvXshLwJkzcPm01coYp7MqA9t/bbaR2VFEjnS7LREXL5msna5raavGGEDagXE6q/FaJo76ETmAhVE+V9whsSaUIDIqCjjqr8OE4M0AACEEcOgQO35E9jR7ttwhMbgZAOBPHptdduMtW1W50zMHtonswywb6mpguMnaaXcd0LYGA0g7Ml/LxFE/IjurZJTPVXdIrAnj67vdnhjBJXU4hP4iL/FBZA9Gl+oQUGF/cXsAQFGR62+8Za0qd3pmdhSRfZhlQ73UcqPbrZ2uKQaQdma8lun7fB0S/r+9O4+LutofP/4aYBh2ZIdRRDLRm5mZUy4tal0RyyXLW9midtusW7eyW3l/YS5R2Wbd+t5Mu2V5te2SdvWWoN0rtKjlmLnmroiyD8oqwwDn98cwOOygLDPwfj4ePGpmPsMcOHzenvf7nPP56JdgdvNCSdVPiAtjd6uOulW+rhaobTORt99uffyA7p9kulcnkbZbfEgsEaL1bMtWq2/VcdK1N296zwXg3nu73lKzhq70LKujhGgD1auhFFDgFcGDAYlssRicbu/0+ZIEsh3Y72V6+8x0xmpTOe0rVT8hzlv1rTpUaSlmV08e13f9Kp9eDy++aP3/7VVDmO6RyM8BsVQGVN/iQ/ZECtE6tuQxPZ2KkDBSPcZxh2siu1yHAJCQ0HVjif3qqAcDEjG7eqJkdZQQ58duNVSWLoo/6NbydXbXLGg3RhLIdlJ3L9Pj+kTyfSJRaVL1E6JVbIG69CxlLl7M9lzChvzuU+UDmDkTSi8xMDMsiZ+rDCilqNwheyKFaJX4eFRaGgUeYTwYto77e1ovr79yZWc3rP3Zr476OtvAbM8llLnI6ighWq16NZQ6cYJM90ju8UjsMnunW0MSyHZkv5dpQ76BO1wTKXORqp8QLWZLHk+kk6nrzUTfVH6Kmd7tAvWLL57byzSXBE5ootDkyJ5IIVqkes9j5c/WPY9Gy2V8nX1u7/TgwZ3dwI5hf5uPn2KmM9E3lUz33qgTsjpKiBaxWw1VpvFkukciP1Uausze6daQBLKd2Qfs4gEG4oOWUKqRqp8QzbKr8mW5R3brQA3nYknpJQbu80skq3pPpJI9kUI0zlaESt6A5rSJky69+ahvQrcrQtnY3+bjp0oD0z0SMbmFotLSrFeSlDgiRMPsVkOVaryYG7yE0ksMXfY2Hc1p8wRy/vz5aDSaWl/h4eFt/TFOxf5qaKu9pxOrTeWkS2+q0tKpmCIDPyHqMRqpmmWt8p3VePJYeGK3DtQ2tlUNlUMMzPRO5H/aWArcgqxL42VPpBC12a1gMGnD2KQdx926REJvNHTLIpQ9220+Si8xsNfNOgWrMjOlGCVEQ4xGKqZMpSotnZOuvYnVpvKl1/QufZuO5rTLDOTAgQPJzMys+dq9e3d7fIzTsW1kz9AbuNcnkRxNKC4n06i8Sap+QtSoDtTq7FlK8eIvnkswRRu6daC2Z5uJHHSvgbmGJHZqDSgU5dtlT6QQ9sqetu55zHMLY5Z+HXMNSVz1iKFbF6Fs7Avbb/RIYINmHNkuEVLYFqKuFSuoum4ULidPcNIlknt9EsnQG5z+vtMXql0SSDc3N8LDw2u+QkJC2uNjnJJtI/vg+wwc9R2MBnDJyZSALQTUJI+ak+mccunNOF0qv142vVsuNWtK3cHfCaJwzcum4ibZEymEbc9jxVbrnsdd6jIpQjVCr4f5/zEwKyqJu33XctIlEs1JSSKFAMBopPKhh9Gcte55nD8wkcvvN3SZ+05fCLf2+KaHDh1Cr9ej0+kYNmwYL730EhdddFGDx5rNZsxmc83jwsJCACwWCxaLpT2a1+lCQmDRInjXtJCiL7UMrNpLsCkHy7S7cFv1TxgypLOb2CRbv3TV/umqHL3fziz5FK/42bhWnCXb92Je7P9Prr5+MI8+aiEkBBy02e2quT4LCYHn1w7mqdu+YHHePYQXnaTqu++odJJY0hU5+nnW5e3YQcVd9+B66iRajSLNux+f/24hK1Y0Hke6e58NGgTffQfvvDOYhE1f8Pz+2wkxZWOechvuX37mkHGku/eZs3KqfquOJRoNlHkG8WLgYhZ8PZjwcNvP0Mntawet6ReNUkq15YevX7+e0tJSYmJiyM7OJiEhgf3797N3716CgoLqHT9//nwWLFhQ7/lPPvkELy+vtmyaEEIIIYQQQog6SktLufPOOykoKMDPz6/JY9s8gayrpKSEvn378swzzzB79ux6rzc0AxkZGUleXl6zje8qsrJg0W07eGnnjXhSSpmLFyVffEPwWMer+oG1QrFx40bGjh2LVqvt7OaIFnLUfsvbuAPXe+/Br+gkZjx5J3oxM5Km0c2vvQW0rs+ysuCddyDu/Vu42vxfzmgC8b5mCLoX5jrkDEJX5ajnWZe3YwfmuS9Q8sMOeqjT/Ki7nuQHV/PoozQbS6TPajv4+Q5y/vwCMZa9BFXmUOjbk8rl/3SoMYn0mXNyhn4rHHsLvj//FwVkuETy+qB/MueLId1iTFJYWEhwcHCLEsh2WcJqz9vbm0GDBnHo0KEGX9fpdOh0unrPa7Vah/3jamuRkfDcl1fxt+sW89SRh/Emn5JbbuPMmkRCxhs6u3mN6k591JU4Sr/lrjdiejieoIxdBFiyyXCJ5MXLE5m3ziB7lOpoSZ9FRsKrr8L+y+aRM3M3PStPwIZTnNm6m8rPHDuWdEWOcp51B7nrjbjecRs9Ck/gheKUaxT6ZfN45e7W/f6lz6wG3n0VAdevY8FEI8/9OhX92UOYJ4zh1Pwl9Hl+emc3rxbpM+fkqP2Wu95I5fdG3KrOkuMSwb+nreK5V7vPmKQ1fdLu94E0m8389ttvREREtPdHOTW9Hu7/bjrL7kwlW9ebUHM6TJ7I/ug4ctfLRnbR9Zgeiad/WjJBlkxydJGsnibJY1sYcLcBj3WJbAuIJZ8gehSe4PC0eDIyOrtlQrS9/SuNlE2cil9hOjmaMLYFjMNjXSID7paCyYXQ62HeOgNf3pGIWeOJlyolZP7DMh4RXVLueiP7+8TB5EmEVOVwyjWKMx+v5YmVMiZpTJsnkH/5y19ITU3l2LFj/PTTT0ydOpXCwkJmzJjR1h/V5ej18OQqA9o1ieToIgmyZNH/eLIM/kSXkpEBb95lJOjkThRg0kagXZMogboNhYw3ELkniUP+BkDRr8BI+qVSjBJdS+56IwEzJtGzMo08lzA+u3MdkXuSZLa9jdjGJLnzl1Cq8cJDncUyZSpv3W2UMYnoMmxFqJi0DTUFbSlCNa/NE8iTJ08ybdo0+vfvzy233IK7uztbt24lKiqqrT+qywoZb8BtTSImbQQKiC7cxYKJErCF89u/0sjBvnFM+3QSARU5ZOui4N9rZcDXDvR6uPjTBM74RRFIPleeTpbBn+gSbEUoy5SphFRlogE8h10mRah20uf56ZR+nUqOrjeh5hM8sGoU/7huhcQR4fQyMiDrgXh6VqaRrwnkYJ9xuDn49jFH0eYJ5GeffUZGRgbl5eWcOnWKL7/8kksuuaStP6bLCxlvgH+v5YxfFCEqmwU7J3Kwbxz7V8oMgnA+GRnw1FOQeX88o8qSCVWZFPpFSqBuZyHjDQT+N5Hy0bHku0fI4E84PfsiVKg5nXxtOObR4/B/O6Gzm9al2Qrb5S6eeFHKU0ceJj7OyF/+gsQS4XRsRai0S+IYVG4ENGiHGxhwTFYwtFS774EU5882+FO9IgmtzGJUWTKZ98dLwBZOJSMDFkw0cuM7cQwyG1FARXAEgf+V5LFDGAx4bEpCfbVWBn/CaTVWhFL/XofHpiQwSCxpbyHjDZgXL6HczQsPzvLSnonc+E6crJASTiUjA+LjjNzy6VSGFWwgoMpEVa/eUoRqJUkgHZ3BWvWrCLYuZx1ktg7EZfAnnMEvv8Asg5G5u6YyxrKBIExU9YrCff1aGfB1sIYGf+PfjmOWwcgvv3R264RonC2OSBGq8wU8Ph3dllRUr96EqWxGlyfz3K9TiY+TJFI4NlsRKj7OyEt7JhGp0ihwDaR8tHXZqoxJWkcSSGdgMOC+fi1VvaIIIp/R5cnM3zuVrf9nZOpUSSKF47EF6o9/v4JPMkcRUXGCqtAwNOMkUHemuoO/MZZk3s6cyvwJMvgTjikjA+ZPMPJ2phShHEZ1YVszLpZSjyB6VaXx0p5JUtgWDuuXX+Dqq2HnB0bm751KqKreO32tQVYwnCdJIJ2FXcBWoRH0rDpBsnkUl+9awdSpSNAWDsGWOE6dCruXG3np9MN4Uwoenrh9vQ6SJFB3OrtYUukfRG/SeD9HBn/CsdjPFryfM4nepFHpHyhFKEdhMEBSEm7DDWiAMJXJ/L1T+fUfRq6+GlnVIByCLY7MHW/kvbQ4VhZNoldVOlWh4WjGjcPjNVm2er4kgXQm1QHb9eu1aDyte5kWlz5IwvY4Cdqi02VkWBPHn9818sK2OFYVT8KTsyhPL1yXLpEBnyOpjiXa6sFfaGWmrGoQDqPubEFIpXW2QDvcIEUoB+PxWgKaceOoCo2gV1U6K4smsvREHHPHS0FKdJ66xewPcicRq5IJq8rEJSpSCtptQBJIZ2Qw4PLeEjReXuiUmTHlySwvnoo+w8jkyTIbKTqWfaC+fNcKkspGMaYimWBLJi5RvXH5LhWmT+/sZoqGJJwb/MmqBtHZmpstIEFmCxyOXWHbJSqSsKosxlYl80HuJClsi05hK2YvXQpe+4x8VDqVMJUJgCYiAhJlBUNbkATSWU2fDqmpaMaNQxMRQa/KE2ywjGLi6RV89BEStEWHqDvruLj0IbwoBZ3OOuCTQO3YZFWDcAAyW9AFGAyQmGgdoGNd0iqzkaIj2ccRr31GVp+N49PSSUSUp6MJry5CrZW9021FEkhnVj34Y+1aNF6eeKlS3ip7kH8Vx8lspGhXjc066lQZGi8vXJYtkwGfM2lgVYMM/kRHaGjpu8wWOCmDwToeqS5s289G7vrQKCsbRLupO+v4aekkxlZZV0JpekfCOilCtTVJILsCgwGWWAd/7pVmRpuTa2Yj//lPJGiLNmW/P+kFYwOzjqmyZNUp1VnVUHfwN2kSjBwpM5Kibfzyi/XvadKk+kvfZbbAidkXtu1mI1cVT+QFY5zssxZtqrFZx2CLdd+0FKHajySQXUX14I9x49B4eNTMRn5ljsNrn5ElS5CgLS5IQ/uTrrdskFnHrqSJwd9LO+Ko/ElWNogLY4sjkydD1c9GXtrRQBFKZgucX53ZyGCL9bZBss9atBVbMXvFCvDZX2fWMTwcpAjVriSB7Epsg7+lS2tmI4cXJPOv4jgOl+olaIvzYj9TUHd/kiY8TGYdu6IGBn9jq5L5n5J91uL82M8UrFwJE0+v4L9VoxhbJUvfuyz7gtS4WNB51NtnPWwYzJolYxLRcnWL2esLRvCv8jqzjlKEaneSQHZF9rORERH0qDQRTqZcHEO0SkMzBfX2J0mQ7rrqDP7sVzYkFY6Q/ZGixeruc9xYMoK3yh7CS5WikaXvXV91LHFZtrTePut/nIpjz0eyP1I0r7GLbQ21bMW/RGYdO5pbZzdAtBPb4M9oRPPYY/Drr+jKyhhTnsxlFiOWAncW/X4Ry26bjo8PzJ4Nen1nN1o4il9+gVtvhb6njXxZ/BiDKn/FgzKowhqkBw+2XlJfgnTXZ4slK1agefhh3EtLGVq5FYDLcncx/cO1TN1sYORIiSOitowMeOMN2LLFus/xtbKH8aQUTQVoALy8YMkSSRy7i+nT4ZJL0MTHw65dhGVmEksWV1UY2bHdwEv7Erj6SwNffglXXNHZjRWOwhZHcr4xcs/BeG7XFBDtkkawrZgdFGT9d0rGJB1KEsiuzmCw/uttNNYE7aBM60m36PSD/PCPT3jFR4K2OBekS0pA98UKfjz9LDqXCgKr8gDQ6HQwerQE6e6qevBHfDwaoxFlMtXsjzz2cx/O/OTPs18nEHaTQRLJbi4jAxYsgJNfGZl9Op47VAGDKn9FRxlKp0MzZAj4+0ss6Y7si9uTJkFmJj0qTYyplOK2qM++mP3PgkmEYx2/UinF7M4mCWR3UWdGsmrHr3iYy/h9ZTJDCiVod3e//ALzJxh5PC8en8oCLquym3EMCgJ3d1i0SGYKujv7OFJdkArOzCKYLACu2G9k11ED8RsSCIyVRLK7sRWhTm808uCex7hMWeOIpvp1jZcXGplxFFCzz5r4eDQFBZCWVqu4vXPZEgo1/sRvSCAhySBxpBtptJiNtZhdFRCE61Uy49jZJIHsbqpnJF2MRmhgRlKCdvdhC9JBx43ErnuMzy3WGQLbYE/pdLhccQW8/bYEaVFbnUSy8mcjLqdNBGFidHkyl+02YtntzpLERZROnS6JZBeXkQEfPWpkxDfx3F5RQG+VVrNXuspdh8sVMuMoGmCLI1CvuD1MbQUFV+w2cugSAx/dkEB+tBSluromi9nVM46uEkccgiSQ3VUjM5L2QTsjph/5gf58e10Ct70qyWRXsn+lkawH4rndUkBkVRrhDQz2NBKkRXOq44irrSBVUEDV0TSCcqx/T39Ne5Cjb76Gy5smPhy1iLiV0yWOdCH7Vxo5/Wg8XhUFPFhyiCBMNa9VBgTh5uGOq6xcEC1Rp7htX5QKLEim32ojFtx5/6tF3P/ddEJCOrvBoq1kZMDnTxuJ/S4ej8xTfF55WIrZTkASyO6uiaAdVGJClUDfVSmkJ8awP0JP0LsJ9Pj94M5utTgPeRt3AHC03+8JObGX/urcYK/EIwhPP3dcX5PBnjgPdjMJrkYj5oceQ7PzVzwqy7ikag8A0zY9yKGYJRSG+BP0bgIh42Ug4Kxy1xsxPRxPyAljrTgCUOEfhHa4ATcpQInzUacoZc4toGx/GkGl1qLU00escaQo2B3+Npu8jTuIuPGqTm60OB+5640UzHyMHrmHuAcNgcqEBgVIMdsZSAIprBoI2hkZEJH9Kx6qjH7m3ajjuymYaKQwwA/+8WZnt1i0hNFI2dPxZO4vwKc4HVb+neicbWjVWeDcYM9HArRoKwYDuu3WC3cRH0/p4VO4HD2MTpUxqGQrqgTMN6ZwMjCG4Mv0eLwmf3tOwWik+I+PYdl3CDc0xFSeG+wV64JwH9gPXYg/Wokloi1Uj0l0gM6uKKWrtMYRS5Un+wG322/huG8k4f39JZY4kUJ9DNozxfStyKt5rsAznFKvYMJcTVLMdgKSQIra7IJ2NHD6byswP/csRboQdEV5BFsysZSUApAVPQJ96XFcB8TI0gJHUmfg7q7K6ANYPD0BKHANpCRC/sEV7aw6lnhBrUJGeJZ1T0vP/N2olN0UXWNEowHtwBh070kccSgrVlDx9LPkVIbgdTYP/+pZIIA8bTglwX0I7++Pr8QR0Z7silK1CqKAf2U+wZmnIBOKrjHWFDJkv60DWbECnn2W8h4hnCgLgLdm41uSjbbiLGdcgwDQXhJDjw/fpof0mdOQBFI0KeDx6fD4dPyxLjfY/YfHiK46AEBY/j5czp5FbdlC5U0TcQsNBpNJrtbZGYxGeOwxKg8c4uxZDd5lJjyrZwfK0HHIewi6YHcAKj5fTR9Z8iM6ksGAx6YkooHjC1fgnfAsp11C8LPkEWauTkq2b6Fg9EQ8ewXjXihxpNPYDfY4dAhtZRkRZKEAE0GggYLQGPyWv00fWYYsOpJdHMn85mewZHIs9EqCT+wlUJnwMZvgFxMKsHybAv1icI/SSzLZ0ez2xANU7vgVF3MZ2qwsent6shcwo+OAz+WEf/G2bGdwUi6d3QDhPELGGwg+uIUP/mDd63TA9RLyCMJEMC452ag9e1CZmVQ+8CCMGGH9iouzBhPR9lasgIgIuOwyKm+ahNq6FZfTJrzL8sgijH0ul5LtEsGnY5YRfHALFx36FoDgsUM6ueGiO+vz/HRCyjPxObqLT+9Yyy7v4Ziq44hvSTbaA3ZxZNAgCA6GkSMljrQXuzjCiBFUPvgQKisL7f7duFWWcRYdv7kNYl/kOFbelUT5yTz6Zm2WQZ/oVLZ/xy469C25K5LY6j+OXd7DMboNpwwPtJVmtPt3o5KTqYiNkzjS3oxG63hvxAgqY+NQycmorVtRW7eiMVvjyB4Gsc/7SgA+vC2ZoAMSR5yZzECKVtHr4U//GMI332Ri3rSFyX/W0ve0kZlH4gmxnOJiDuNRXobaurXmPRqjEfr1k8u4t4Xq2QFCQqg8eAgXcxlkZaHBOjuggDT3GDZMeLvmkud/rL7qpcXSmQ0Xoja9Hp5cZSAjYwsvV99OZsx/4/EpOEVfWxzZY70AD1u2oJk40ToIlFUOF6bO7EDVjl/RVMcRAA1wFh1HiKHIT88/ohJ49CMDV1wBl3Zis4VozIC7DXB3Us2tqby/XMHDac+SpwkhRJNH2OlM63qcLVuojI3DzQWIka03F8wWS06dgsOHUWVlwLmZKRNBHHHpR7GrP4sDEoicYuC55yyk/fINj7w/BK2285ouLpwkkOK8DR4MmzdDRoaBN95IIicH8jcYmX3aev+evuoQQcqEMpmsgz4kmWy1JgZ7toHeYWLIc9ez/KIEjgQY+L//g/93Rec2W4iW0uutgz4wkJGRxIIFcPIraxwJsZwigkxcXDQEZmXXJDnqwQdxWbLE+g0kljTPPo4cOmSNyXbK0HFYE0OpxrvWYO/55+FDue2KcBK2WJLx1HRef2M6JSVQvtnIg3seo686hAYNQafzapJJKUqdh0aSRgCzRsdu1yFUVkKhxp9/xiTgPcqAjw+8X33/Tilkdx2SQIoLdm4AeC6ZLCmB9DVG/pwTjx8F9NM0kEympFirgHrZo1CjTsLY1GAvx03P4oAEAmMNhIXBK3KDZeHk9HpYuhQy5p0rSqWkQP8iI88UxxNRaV3loDPLKodmNZM02mYHCvBnoTaBsksNGAzUGuwJ4YzqjkkWLNjC9u3wuxIjfzpgTSYbLUoVF0tCWVf1NRY4dAg0GlSeCaqvsWDW6Dik+hGEiblui/jNMJ3LLrPGERmTdG2SQIo2ZR+4f3nQwKOPJtG3r3Vm0pZMurnBoMpf0ZnLYPdu2L3bOgCE7rmspJmBHjQ82Bs9WgZ6omuqPQCEN94wsLokCaMRPPcamVsejz+yyqGeJmYHwBpHDmGNI++EWmcZAYb7wGyJJaILshWl4Fwy+c03zReluv0qB7vtMuTloTJrX4E5yxJckzTuvMyaaBsMkPi8xJHuQhJI0W6uuMK6xBXgl1/OJZNHjsAl21ewsPxZTIQQrs0j2FQdnLrLFV1bODtQVYUM9kS31lgyCc2vclApKbh09VUOdrMDlUqDS37t2YHdrkOoqDgXRwJjDRw5Av/3f9YYLUR3UbPCoYmilFdVcfdd5dDINRYATJoglILDmhjm+bxN/kXWn99ggLWSNHZL7ZZAvvvuu7z22mtkZmYycOBA3nrrLa699tr2+jjh4OyTyYwMWLBgOpO2WxPDwKNGFpx+jIux7lEIzMlG5ViDVvkfH0Tz0mu452U6/+xkddJYftw6O6CtbH52oKQEGewJUc0+mYTGVzm4uMBlVb/iYS5DVa9yKEk14ulJ17hvrd2tNs6eyMOv+v6MLkC2JpwcFUyw3ZIyW+FO4ogQTRelWrLKoWKrEe3vukAyaZcwmrXeaHb+ah2X1LnGQrarnld8Ejjga135dFmYFLFFOyWQn3/+OU888QTvvvsuV199NUuXLmX8+PHs27eP3r17t8dHCidSe0mJNXi/m7OF336z7lGodUXXyjI0B/bUbHovuG4iRZ7B+JlNVL24yHqfSkdVnTCWHj6F+Xgmrm4afM0mtHb3Z9zlMqTWLKPMDgjRco2tcvD2Bt0XK3j29LPkYb0SY3hZJpSB2rKFoqvjqKyEEn89wZfp8XjNwQeBRiPFf3wMy75DFPnoCSs6hHuV9b5qbkAe1ptxH9HEsOzSt7EMNvDbb7KkTIjm1C1KNbXK4WIOEYwJtwITaqs1mTRvSCEvIIaQPt7oQhw8oTQaKXs6nsz9BVQqiMz9Ffcqa8LojnXdgi1pzNWeu8aCtzdc7gMrJGkUdtolgVy8eDH33Xcf999/PwBvvfUWycnJLFmyhJdffrk9PlI4qfrB+9zFMzAamZURj1/hKcLJBDQEnc3G/6x1dtL85IMcfnkJ2rJivEpMfHnVIg6PmN4plbFffoH/m2nk8bx4vKsK0JYVE1Z4GJ0qwxPwBKiELMLJwzo7sCRqETlx02WWUYg2YJ9MAvzy4HSmPmqdfftdqZHYdY8RZTkEaAguzwOgR74JlbKbwquNVFZCkY+eQj89a69MqLkNTkfGEtttCIKOG5ma+hghZ6wJo58lD//qWcYeBaaagd4RYij217N+ZALf5FgvgpMgCaMQ562pVQ7RJiNj/hePd0UBSsGgql/xVGX0zN8N+dYEzLwhhRy/GMrcvMmz+JPy+wRmvmPo8HPSFkv6bV3BrT8/y1nvEHqczcC33ESf6mPsE0azmzcWL3+W6K0JcFiYXGNBNK3NE8jy8nK2b9/OnDlzaj0fGxvLZvt/3auZzWbMZnPN48LCQgAsFgsWud6vQ7L1S3v0T0iIdduj1WCystaxaBHs2AGxITu4dd8LuJky6VV2FHfK6F2403qoFu7c8ThpO9/GZUkWx3wjKPILZ/Xv5rIhdwj9+1tnJUpK4MAB6N/f+jbb/9d9rbljg9N3cMPWFwjWFuLiBlpTCW9VHkVHGRpb8z00FNGDNJe+hKgszgRezFdXv8rJ4CF4e8Ojj0J4eO3fYXv+ybdnv4n2IX12/gYNgtRU26PB7Nz5HX/4C4z238Ht258muOAIeW4R+FpMhFZlgSt4lx8mLO8wf1x/MwCnP4igyN+LUhc/3vabC0OsNy9vKm6YzRYmTIBHHrFQUdF8jGHHDv5c+AL+pZl4FWUxUxNBgDIRqrLA3domBWR79gQNnPWN4IxXOG/7zcX7miE8+yzMDYe5nPsbkT+X1pHzzPl0VJ/VjSNZWet45x0oLYVBez9l0vZ5nHENprDSi99V7MaDMsLLD0M59AEuWn8zWYP7UuZagmdpPmuHzmf3wGltNhaxf63/2R1M/sEa2wrcIrjN1iZtGf7lBeAKFk9P8jWBFIT0rRXXQkOtY5IPw4F2jCVyrjm21vSLRiml2vLDMzIy6NmzJz/++CMjR46sef6ll17i448/5sCBA7WOnz9/PgsWLKj3fT755BO8vLzasmlCCCGEEEIIIeooLS3lzjvvpKCgAD8/vyaPbbeL6Gg0mlqPlVL1ngP461//yuzZs2seFxYWEhkZSWxsbLONF53DYrGwceNGxo4di1ar7ezmWO3YAS+8wNmjmZhPZFHsHYFvhQm/0qxm31rsHkhuj75oy0rwLTm/93pVlBDimo/rC/Nh2rQ2+IHankP2m2iS9Fkn2LGD8sefxrL/CAVeEZRpveiVtxttVVmTb7O46DgZfBkuWNj3t2cZ+PirBJ5Jw6c8v9mPtLjoyPbpi29JFrreEXheFA5zz814ivYl55nzcfg+qx6TlOcVkpkFLmdLCC06irtqOo6AdVxRWQnF3hGUe3ihLWv9e0v9Igju7YV7sJ9DxRKH77duzrYKtCXaPIEMDg7G1dWVrKzag++cnBzCwsLqHa/T6dDpdPWe12q18sfl4Byqj666Ctatw9aaEKh981u93rreo7gYMjOtjzMywGQi8OwpAgtO1XyrkOLq/w+yXpgCvR6UOvc+b2/r8/7+BCYkEOioG+Yb4VD9JlpE+qwDXXUV2i3WNWs9bM/Z3xOtbiwoLobDh3EvOUP/ku+weHqyD4jK2YH27Fnr+4OCrLcAsI8/tveaTLgvWsRFXfF2RU5GzjPn47B9Zjcmudj2nP3tu+xjgX1MycsjMNM6BqkZi9jodNY4UjeG2B7r9QQ68kV87Dhsv3VzremTNk8g3d3dGTp0KBs3bmTKlCk1z2/cuJHJkye39ccJ0TiDAbZsafx1+2AO9QKxQ19NTQjRcaZPb/p+tPaxxLaHZOBAcHNz/kv9CyHahsEASUlNH9NY4bsr3xdbOKV2WcI6e/Zs7rnnHgwGAyNGjGDZsmWcOHGCWbNmNfte25bM1kyjio5lsVgoLS2lsLDQuStIMTHwxRdNH9OF/g67TL91I9JnTsIullgsFko3bKAwKal2n3WhWNLVyHnmfLpsn8XEQHJy4687eRzpsv3WRdhyr5ZcHqddEsjbb78dk8nEwoULyczM5NJLL+Wbb74hKiqq2fcWFRUBEBkZ2R5NE0IIIYQQQgjRgKKiIvz9/Zs8ps2vwnqhqqqqyMjIwNfXt8GL7ojOZ7vQUXp6ulzoyIlIvzkf6TPnI33mfKTPnI/0mXOSfnNsSimKiorQ6/W4uLg0eWy7XYX1fLm4uNCrV6/OboZoAT8/PwkATkj6zflInzkf6TPnI33mfKTPnJP0m+NqbubRpun0UgghhBBCCCGEqCYJpBBCCCGEEEKIFpEEUrSaTqdj3rx5Dd6/Uzgu6TfnI33mfKTPnI/0mfORPnNO0m9dh8NdREcIIYQQQgghhGOSGUghhBBCCCGEEC0iCaQQQgghhBBCiBaRBFIIIYQQQgghRItIAimEEEIIIYQQokUkgRRCCCGEEEII0SKSQIpmpaSkoNFoGvzatm1bo++bOXNmveOHDx/egS3v3vr06VPv9z9nzpwm36OUYv78+ej1ejw9PRk9ejR79+7toBZ3b8ePH+e+++4jOjoaT09P+vbty7x58ygvL2/yfXKedbx3332X6OhoPDw8GDp0KN9//32Tx6empjJ06FA8PDy46KKLeO+99zqopeLll1/myiuvxNfXl9DQUG6++WYOHDjQ5Hsa+zdv//79HdTq7m3+/Pn1fvfh4eFNvkfOsc7X0JhDo9Hwpz/9qcHj5Txzbm6d3QDh+EaOHElmZmat5+bOncu3336LwWBo8r1xcXEsX7685rG7u3u7tFE0bOHChTzwwAM1j318fJo8/tVXX2Xx4sV89NFHxMTEkJCQwNixYzlw4AC+vr7t3dxubf/+/VRVVbF06VIuvvhi9uzZwwMPPEBJSQmvv/56k++V86zjfP755zzxxBO8++67XH311SxdupTx48ezb98+evfuXe/4Y8eOceONN/LAAw+wcuVKfvzxRx555BFCQkK49dZbO+En6F5SU1P505/+xJVXXklFRQXPPfccsbGx7Nu3D29v7ybfe+DAAfz8/Goeh4SEtHdzRbWBAwfy7bff1jx2dXVt9Fg5xxzDtm3bqKysrHm8Z88exo4dyx/+8Icm3yfnmZNSQrRSeXm5Cg0NVQsXLmzyuBkzZqjJkyd3TKNEPVFRUerNN99s8fFVVVUqPDxcLVq0qOa5srIy5e/vr9577712aKFozquvvqqio6ObPEbOs4511VVXqVmzZtV6bsCAAWrOnDkNHv/MM8+oAQMG1HruoYceUsOHD2+3NorG5eTkKEClpqY2esymTZsUoE6fPt1xDRM15s2bpwYPHtzi4+Ucc0yPP/646tu3r6qqqmrwdTnPnJssYRWttnbtWvLy8pg5c2azx6akpBAaGkpMTAwPPPAAOTk57d9AUeOVV14hKCiIyy+/nBdffLHJ5ZDHjh0jKyuL2NjYmud0Oh2jRo1i8+bNHdFcUUdBQQGBgYHNHifnWccoLy9n+/bttc4RgNjY2EbPkS1bttQ7fty4cRiNRiwWS7u1VTSsoKAAoEXn1ZAhQ4iIiOCGG25g06ZN7d00YefQoUPo9Xqio6O54447OHr0aKPHyjnmeMrLy1m5ciV//OMf0Wg0TR4r55lzkgRStNoHH3zAuHHjiIyMbPK48ePHs2rVKv73v//xxhtvsG3bNq6//nrMZnMHtbR7e/zxx/nss8/YtGkTjz76KG+99RaPPPJIo8dnZWUBEBYWVuv5sLCwmtdExzly5AjvvPMOs2bNavI4Oc86Tl5eHpWVla06R7Kysho8vqKigry8vHZrq6hPKcXs2bO55ppruPTSSxs9LiIigmXLlvHll1+yevVq+vfvzw033MB3333Xga3tvoYNG8aKFStITk7m/fffJysri5EjR2IymRo8Xs4xx/PVV19x5syZJica5Dxzcp09BSo6z7x58xTQ5Ne2bdtqvSc9PV25uLioxMTEVn9eRkaG0mq16ssvv2yrH6HbOZ8+s0lMTFSAysvLa/D1H3/8UQEqIyOj1vP333+/GjduXJv/LN3F+fTZqVOn1MUXX6zuu+++Vn+enGft59SpUwpQmzdvrvV8QkKC6t+/f4Pv6devn3rppZdqPffDDz8oQGVmZrZbW0V9jzzyiIqKilLp6emtfu+ECRPUxIkT26FVojnFxcUqLCxMvfHGGw2+LueY44mNjVUTJkxo9fvkPHMechGdbuzRRx/ljjvuaPKYPn361Hq8fPlygoKCmDRpUqs/LyIigqioKA4dOtTq9wqr8+kzG9uVOQ8fPkxQUFC9121XucvKyiIiIqLm+ZycnHrVXdFyre2zjIwMxowZw4gRI1i2bFmrP0/Os/YTHByMq6trvdnGps6R8PDwBo93c3Nr8DwU7eOxxx5j7dq1fPfdd/Tq1avV7x8+fDgrV65sh5aJ5nh7ezNo0KBGY5qcY44lLS2Nb7/9ltWrV7f6vXKeOQ9JILux4OBggoODW3y8Uorly5czffp0tFptqz/PZDKRnp5eKzkRrdPaPrO3Y8cOgEZ//9HR0YSHh7Nx40aGDBkCWPcxpKam8sorr5xfg0Wr+uzUqVOMGTOGoUOHsnz5clxcWr/LQM6z9uPu7s7QoUPZuHEjU6ZMqXl+48aNTJ48ucH3jBgxgnXr1tV6bsOGDRgMhvOKo6J1lFI89thjrFmzhpSUFKKjo8/r++zYsUPOqU5iNpv57bffuPbaaxt8Xc4xx7J8+XJCQ0O56aabWv1eOc+cSGdPgQrn8e233ypA7du3r8HX+/fvr1avXq2UUqqoqEg99dRTavPmzerYsWNq06ZNasSIEapnz56qsLCwI5vdLW3evFktXrxY7dixQx09elR9/vnnSq/Xq0mTJtU6zr7PlFJq0aJFyt/fX61evVrt3r1bTZs2TUVEREifdQDbstXrr79enTx5UmVmZtZ82ZPzrHN99tlnSqvVqg8++EDt27dPPfHEE8rb21sdP35cKaXUnDlz1D333FNz/NGjR5WXl5d68skn1b59+9QHH3ygtFrteW0DEK338MMPK39/f5WSklLrnCotLa05pm6fvfnmm2rNmjXq4MGDas+ePWrOnDkKkGXhHeSpp55SKSkp6ujRo2rr1q1qwoQJytfXV84xJ1BZWal69+6tnn322XqvyXnWtUgCKVps2rRpauTIkY2+Dqjly5crpZQqLS1VsbGxKiQkRGm1WtW7d281Y8YMdeLEiQ5qbfe2fft2NWzYMOXv7688PDxU//791bx581RJSUmt4+z7TCnrrTzmzZunwsPDlU6nU9ddd53avXt3B7e+e1q+fHmjeyTtyXnW+f7+97+rqKgo5e7urq644opat4SYMWOGGjVqVK3jU1JS1JAhQ5S7u7vq06ePWrJkSQe3uPtq7Jyyj3t1++yVV15Rffv2VR4eHiogIEBdc8016uuvv+74xndTt99+u4qIiFBarVbp9Xp1yy23qL1799a8LueY40pOTlaAOnDgQL3X5DzrWjRKKdXBk55CCCGEEEIIIZyQ3MZDCCGEEEIIIUSLSAIphBBCCCGEEKJFJIEUQgghhBBCCNEikkAKIYQQQgghhGgRSSCFEEIIIYQQQrSIJJBCCCGEEEIIIVpEEkghhBBCCCGEEC0iCaQQQgghhBBCiBaRBFIIIYQQQgghRItIAimEEEIIIYQQokUkgRRCCCGEEEII0SKSQAohhBBCCCGEaBFJIIUQQgghhBBCtIgkkEIIIYQQQgghWkQSSCGEEEIIIYQQLSIJpBBCCCGEEEKIFpEEUgghhBBCCCFEi0gCKYQQQgghhBCiRSSBFEIIIYQQQgjRIpJACiGEEEIIIYRoEUkghRBCCCGEEEK0iCSQQgghhBBCCCFaRBJIIYQQQgghhBAtIgmkEEIIIYQQQogWkQRSCCGEEEIIIUSLSAIphBBCCCGEEKJFJIEUQgghhBBCCNEikkAKIYQQQgghhGgRSSCFEEIIIYQQQrSIJJBCCCHa3UcffYRGo+H48eOd3ZRaPvnkE956663ObkaHGj16NBqNhri4uHqvHT9+HI1Gw+uvv37Bn1NUVMQzzzxDbGwsISEhaDQa5s+f3+CxM2fORKPR1PsaMGDABbdDCCFE25IEUgghRLfVHRNIm+TkZP73v/+12/c3mUwsW7YMs9nMzTff3Ozxnp6ebNmypdbX559/3m7tE0IIcX7cOrsBQgghHEdpaSleXl6d3Yx2111+zsbExMRQUVHBM888w7Zt29BoNG3+GVFRUZw+fRqNRkNeXh7/+Mc/mjzexcWF4cOHt3k7hBBCtC2ZgRRCiG5q/vz5aDQafvnlF6ZOnUpAQAB9+/YFQCnFu+++y+WXX46npycBAQFMnTqVo0eP1voeGzduZPLkyfTq1QsPDw8uvvhiHnroIfLy8i6oTTt27OCWW27Bz88Pf39/7r77bnJzc2sd+/nnnxMbG0tERASenp787ne/Y86cOZSUlNQ6bubMmfj4+LB7925iY2Px9fXlhhtuYPTo0Xz99dekpaXVWjZ5Pvbv38+0adMICwtDp9PRu3dvpk+fjtlsBiA3N5dHHnmESy65BB8fH0JDQ7n++uv5/vvv632vJUuWMHjwYHx8fPD19WXAgAH8v//3/2odk5WVxUMPPUSvXr1wd3cnOjqaBQsWUFFR0aL2arVaXnzxRbZv395us3wX8vsUQgjhuGQGUgghurlbbrmFO+64g1mzZtUkXw899BAfffQRf/7zn3nllVfIz89n4cKFjBw5kp07dxIWFgbAkSNHGDFiBPfffz/+/v4cP36cxYsXc80117B79260Wu15tWnKlCncdtttzJo1i7179zJ37lz27dvHTz/9VPM9Dx06xI033sgTTzyBt7c3+/fv55VXXuHnn3+utzSzvLycSZMm8dBDDzFnzhwqKiro1asXDz74IEeOHGHNmjXn/fvbuXMn11xzDcHBwSxcuJB+/fqRmZnJ2rVrKS8vR6fTkZ+fD8C8efMIDw+nuLiYNWvWMHr0aP773/8yevRoAD777DMeeeQRHnvsMV5//XVcXFw4fPgw+/btq/m8rKwsrrrqKlxcXHj++efp27cvW7ZsISEhgePHj7N8+fIWtfv222/n9ddfJz4+nltvvbXJvmppYurq6nreSePZs2cJDw8nNzeXiIgIbr75ZhYuXEhgYOB5fT8hhBDtRAkhhOiW5s2bpwD1/PPP13p+y5YtClBvvPFGrefT09OVp6eneuaZZxr8flVVVcpisai0tDQFqH//+981ry1fvlwB6tixYy1q05NPPlnr+VWrVilArVy5ssnPTk1NVYDauXNnzWszZsxQgPrwww/rve+mm25SUVFRTbapOddff73q0aOHysnJafF7KioqlMViUTfccIOaMmVKzfOPPvqo6tGjR5Pvfeihh5SPj49KS0ur9fzrr7+uALV3794m3z9q1Cg1cOBApZRS3377rQLUO++8o5RS6tixYwpQr732Ws3xtuda8rVp06YGPzM3N1cBat68eQ2+vnjxYrV48WK1YcMGtWHDBvXcc88pLy8vNWDAAFVUVNTkzyOEEKJjyRJWIYTo5m699dZaj//zn/+g0Wi4++67qaioqPkKDw9n8ODBpKSk1Bybk5PDrFmziIyMxM3NDa1WS1RUFAC//fbbebfprrvuqvX4tttuw83NjU2bNtU8d/ToUe68807Cw8NxdXVFq9UyatSoRj+77s/ZFkpLS0lNTeW2224jJCSkyWPfe+89rrjiCjw8PGp+V//9739rtfWqq67izJkzTJs2jX//+98NLgX+z3/+w5gxY9Dr9bX6Z/z48QCkpqa2uP033HADsbGxLFy4kKKiogaP0ev1bNu2rUVfQ4cObfFn23vyySd58sknGTt2LGPHjiUhIYEVK1awf/9+3n///fP6nkIIIdqHLGEVQohuLiIiotbj7OxslFI1y1TruuiiiwCoqqoiNjaWjIwM5s6dy6BBg/D29qaqqorhw4dz9uzZ825TeHh4rcdubm4EBQVhMpkAKC4u5tprr8XDw4OEhARiYmLw8vIiPT2dW265pd5ne3l54efnd97taczp06eprKykV69eTR63ePFinnrqKWbNmsULL7xAcHAwrq6uzJ07t1YCec8991BRUcH777/PrbfeSlVVFVdeeSUJCQmMHTsWsPbPunXrGl1y2tr9p6+88gpXXHEFr7/+Ovfee2+9193d3bn88stb9L1cXV1b9dlNmTJlCt7e3mzdurXNvqcQQogLJwmkEEJ0c3X3rAUHB6PRaPj+++/R6XT1jrc9t2fPHnbu3MlHH33EjBkzal4/fPjwBbcpKyuLnj171jyuqKjAZDIRFBQEwP/+9z8yMjJISUmpmXUEOHPmTIPfr70u5hIYGIirqysnT55s8riVK1cyevRolixZUuv5hmb97r33Xu69915KSkr47rvvmDdvHhMmTODgwYNERUURHBzMZZddxosvvtjgZ+n1+lb9DJdffjnTpk1j8eLF3HjjjfVeP378ONHR0S36Xps2barZz9kWlFK4uMhiKSGEcCSSQAohhKhlwoQJLFq0iFOnTnHbbbc1epwtKaubZC5duvSC27Bq1apayyG/+OILKioqapKTtvpsnU53QTOlnp6ejBo1in/961+8+OKLBAcHN3icRqOp19Zdu3axZcsWIiMjG3yPt7c348ePp7y8nJtvvpm9e/cSFRXFhAkT+Oabb+jbty8BAQHn3XZ7CQkJJCYmsmDBgnqv2ZawtkT//v3bpD0AiYmJlJaWyq09hBDCwUgCKYQQoparr76aBx98kHvvvRej0ch1112Ht7c3mZmZ/PDDDwwaNIiHH36YAQMG0LdvX+bMmYNSisDAQNatW8fGjRsvuA2rV6/Gzc2NsWPH1lyFdfDgwTUJ7ciRIwkICGDWrFnMmzcPrVbLqlWr2LlzZ6s+Z9CgQaxevZolS5YwdOhQXFxcMBgMgPX2Hx9//DHHjh2jT58+jX4P21Vnhw0bxpw5c7j44ovJzs5m7dq1LF26FF9fXyZMmMALL7zAvHnzGDVqFAcOHGDhwoVER0fXusLpAw88gKenJ1dffTURERFkZWXx8ssv4+/vz5VXXgnAwoUL2bhxIyNHjuTPf/4z/fv3p6ysjOPHj/PNN9/w3nvvNbuktq7o6Ggefvhh/va3v9V7zd3dveZ30lrr16+npKSkZqZ13759JCYmAnDjjTfi5eVFWload955J3fccQcXX3wxGo2G1NRU3nrrLQYOHMj9999/Xp8thBCinXTyRXyEEEJ0EtsVT3Nzcxt8/cMPP1TDhg1T3t7eytPTU/Xt21dNnz5dGY3GmmP27dunxo4dq3x9fVVAQID6wx/+oE6cOFHviputvQrr9u3b1cSJE5WPj4/y9fVV06ZNU9nZ2bWO3bx5sxoxYoTy8vJSISEh6v7771e//PKLAtTy5ctrjpsxY4by9vZu8PPy8/PV1KlTVY8ePZRGo1H2/yzeeuutytPTU50+fbrJNtt+D3/4wx9UUFCQcnd3V71791YzZ85UZWVlSimlzGaz+stf/qJ69uypPDw81BVXXKG++uorNWPGjFpXgf3444/VmDFjVFhYmHJ3d1d6vV7ddtttateuXbU+Lzc3V/35z39W0dHRSqvVqsDAQDV06FD13HPPqeLi4ibban8V1rrf08/Pr95VWC9EVFRUo1dstf0t5OfnqylTpqg+ffooT09P5e7urvr166eeeeYZdebMmTZphxBCiLajUUqpTslchRBCiDrmz5/PggULyM3NbXQ5aEcJDw/nnnvu4bXXXuvUdgghhBCORHamCyGEEHXs3buX0tJSnn322c5uihBCCOFQZA+kEEIIUcfAgQMpLCzs7GYIIYQQDkeWsAohhBBCCCGEaBFZwiqEEEIIIYQQokUkgRRCCCGEEEII0SKt3gP53Xff8dprr7F9+3YyMzNZs2YNN998c83rSikWLFjAsmXLOH36NMOGDePvf/87AwcObNH3r6qqIiMjA19f35obRQshhBBCCCGEaB9KKYqKitDr9bi4ND3H2OoEsqSkhMGDB3Pvvfdy66231nv91VdfZfHixXz00UfExMSQkJDA2LFjOXDgAL6+vs1+/4yMDCIjI1vbLCGEEEIIIYQQFyA9PZ1evXo1ecwFXURHo9HUmoFUSqHX63niiSdqLn1uNpsJCwvjlVde4aGHHmr2exYUFNCjRw/S09Px8/M736aJdmSxWNiwYQOxsbFotdrObo5oIek35yN95nykz5yP9JnzkT5zTtJvjq2wsJDIyEjOnDmDv79/k8e26W08jh07RlZWFrGxsTXP6XQ6Ro0axebNmxtMIM1mM2azueZxUVERAJ6ennh6erZl80QbcXNzw8vLC09PTwkATkT6zflInzkf6TPnI33mfKTPnJP0m2OzWCwALdpC2KYJZFZWFgBhYWG1ng8LCyMtLa3B97z88sssWLCg3vMbNmzAy8urLZsn2tjGjRs7uwniPEi/OR/pM+cjfeZ8pM+cj/SZc5J+c0ylpaUtPrZNE0ibupmrUqrRbPavf/0rs2fPrnlsmz6NjY2VJawOymKxsHHjRsaOHSsVJCci/XZhsrLgnnvg2DG4/XZ48cX2/0zpM+cjfeZ8OrLPsrLg/vshOxvCwuAf/4Dw8Hb9yC5JzjPnJP3m2AoLC1t8bJsmkOHVUTArK4uIiIia53NycurNStrodDp0Ol2957VarfxxOTjpI+ck/dZ6GRkwfTrs3QulpfDDD5CbC3p9x3y+9JnzkT5zPh3RZ3/7G/z6K7i7g9lsjSurVnVcLOlq5DxzTtJvjqk1fdKm94GMjo4mPDy81tR0eXk5qampjBw5si0/SgghOkRGBtx1l3XmoF8/GDwYTp+GqVPhL3+xvi6EEE3JyICnnoKUFOvjG2+0zjxmZVnji8QRIYQzaXUCWVxczK+//sqvv/4KWC+c8+uvv3LixAk0Gg1PPPEEL730EmvWrGHPnj3MnDkTLy8v7rzzzrZuuxBCtCtb8hh0zMhH2XGk5A/i+/3B/OvUSHz2G/nnP2XwJ4Romi2OrFwJww6uYO/pCN757jKSCkfwYWYc2p1G3nijs1sphBAt1+olrEajkTFjxtQ8tu1fnDFjBh999BHPPPMMZ8+e5ZFHHuH06dMMGzaMDRs2tOgekEII4SgyMuAf163g06PP4uFagX+FCc1p612PBrKFf3lPJPtsMH7fmfjfHxdxZ9L0Tm6xEMIRpdy3gk9Tn6XQPYQ+FYfQVpah2W+96OBw4N+kcPC9K3gr+21ue9Ugy1mFEA6v1Qnk6NGjaerWkRqNhvnz5zN//vwLaZcQQnQOo5Gyp+PJ317A00W/4kEZVIAmPByCgyEzE41Gg78pGz9lHQTesuFBysZ8gsdrCWAwdPIPIIRwCNWx5JbUVHSqjDBzFhoAnQ5iYsDbG7XjVzzMZVxWuoWwTyaSt7YPgUP9JZYIIRxau1yFVQghnJLRSMWUqbifPMFAFAqwuOpQl1+B7r23zw3ojEaIj8dy/BRVhw7jXlUGKclUTNmP25pEGfgJ0d3ZxRJQmDU6XPrH4B6lh4RzyaHLihVUPP0sZYUVhJZlE1aUBSlQ9jR4bErq1B9BCCEa06YX0RFCCKdlNFJ50yRcT6ZxxiWQvb7DKR89DvetP6Azbq6dFBoMkJSE+/7dFP3ne7YFjOOMSxAuJ9OovGmSNcEUQnRPK1ZQdd0oXE6eINc1jG0B4yj6+gfcf9sFSUm1Y8n06bhlZ+Lz/XrKR8dyxjUIBVRsMUJcnMQSIYRDkgRSCCGMRpg6FZecTAAO+BoI3L/FOgPQzGxiyHgDkXuSOOBrQAO45GRSMWWqDPyE6I6MRiofehjN2VLKNJ48P3gdkXuSCBnfzKoEgwGPTUl8fEcSJ12i8DLno5KTrZd7llgihHAwkkAKIbq36qVmVWnp5LmFs8l9HFtvSmjVhSz0evhpQgIbXceRrYlAczKdipsmygyCEN2F0TpjWHnTJCg7SwlexAcuYd661l0U57ZXDbx4eSI/eFfPRqadoOzp+PZrtxBCnAdJIIUQ3ZfdstUclzDu8l3HCyOTuP211u9hvO1VA8mPJ/H/Ll1LplskLjlZ1hmEeBn8CdGlVa9gUMkb0ORkkuHWmzsjUrl7w/RWX1FVr4d56wzMuzKJX1wMKJQsZxVCOBxJIIUQ3VOdZatHfC7jsj8aWLWK87qMvl4Pb7wBCUkGXrgskTzXCAAqd+ySgZ8QXVl8PCotjQK3QH70GkfCZYm8ZzRwxRXn9+30eli1ClYNSJDlrEIIhyQJpBCi+7HNGJxIJ09rXbb684QEXn/9/JJHe7YZhDmXrCXdJQpysmVPpBBdldFIuXEnCg07tQaevyqp1ctWG6LXW4tRtuWsJvcI1Il0SSKFEA5BEkghRPdit+cx0z2Sh/Xnv2y1MXo9BMYauFuXyCmXSOueSEkihehaqmOJqymHE/TmjR4J572CoSH2y1lnRawlzy1U9kQKIRyCJJBCiG6l7Ol4XKr3PM70SsQUff7LVpsyezZc+bCB+QMTyXSTJFKILqU6edScTCfDLZI/RyQy/z8XPvNYl205qynawC4Go1CYf5Zl8UKIziUJpBCi+zAaMW/bCWgueM9jc+rviQzF5aTMHgjRFdgKUSbXsAve89icunsifUplWbwQonNJAimE6B6qZwx8SnI46dK7zfY8Nse2DO2oz2BAcfZ7I2Vj5IqKQjglo/X8Pfu9EVshqi32PDbHfk+krGgQQnQ2SSCFEF1e7noj+TdYl5tlukXy4uWJbbrnsTm2+0Sma6Lwr8zHPSVZBn9COJvqIpR7ygb8K02ka3q3+p6xF8JWjHrhsnNJZP4NU8ldL3FECNGxJIFsLaMR7rpLBn5COInc9dZBn19hOqdcInnhssQOmTGo67ZXDayelshP/rGccQmS5axCOBO7PY+5rmH85D+ONXd2bCEKaieRuZpQehSewPSwxBEhnEYXySMkgWyl0pfepPKTz6XqJ4STMD0ST5g5jdNuYaye1jnJI1gHfk+uMhC1L4kDvgZAUfTjLokjQjiBgj9b9zzmuYbx/OB1RO1L4omVnRdL5q0zcMzPuiw+KEPiiBDOwLYaqurTzyl96c3Obs4FkQSylVYGP0muJkSqfkI4uNz1Rvb3iSMs3bpXydTzsk4b8NmzX84aYLFeDEMGf0I4rtz1Rs7+ZL341m/ajtnz2By9Hi7+NIFsXRSBlmyYPJH90XESS4RwUParoU5qerEy+MnObtIFkQSylSbMl6qfEI7OFqhj0qx7lbJ1vQlaktDZzaphW86ao4sk1JwuSaQQDsoWS0Kqcjjl2pvw9ztuz2NzQsYbcFtjjSNBlmxijidLLBHCQdVdDTVhfscuf29rkkC2Ut2qn2XKVN6620hGRme3TAhhYwvUBa6BHOwzDrc1iYSMd5xgbVvOql1zLoksmziV/Stl4CeEI8jIgDfvMmKZMpVQczo5ukg81iUy4G7HiSNwLok8GBVLgWsQYWZZHSWEI7HFkqCT1lUMjrIa6kJJAnke7Kt+oeZ07vhkIumXytIRITpb3UCd3cvAgGNJDpU82rPFklyXUHpWniDrgXgpRgnhAL54xsgtn55LHh2tCGUvZLyBAceTyI607q0OOrVLCttCOIDc9UbSL41j2meTCKjIcbjVUBdCEsjzZBv4FfpFEqqyuOp0MoenyeBPiM6SkQELJhq59bOpThWoQ8Yb8BxmXRY/qNwoxSghOlnueiN3fTGJSJXGaW2YQyeP9oLeta6OCqjI5pZPp7JgoiSRQnSWjAw4PC2eq04nE1aVSaGfYxeiWksSyAsQMt5A4H8TKfKKQAHRhbskYAvRCWxVvhd2TqJnVbrTBWr/txOo6hVFQFU+V55Orlkan5XV2S0TovvIyjq3bDXIkokG8L36MqeJI/aF7Z5VJ1j8yyhS/riis5slRLdjK2hHF+5EAYVeEQT+13nGJC0hCeSFMhgoT1zLGb8oQlQ2c3dJ1U+IjmRf5QupzET1inS+QG2wDvzKR8eS7x5BqDmdKZ9M5cv4HZ3dMiG6jUW37eDWz6zLVvO14ZhHj8PjNcdfxWDPVtiucPPEi1Ju3viwLGcVogPZkse5u6YSonI44xdFeeJaMDjRmKQFJIFsA7aArXpFElFhrfr947oVErCFaGcNVfnc1iQ6Z6A2GPDYlIT6ai2ntaFEqhNcmfxCZ7dKiG7jL7vvqVnBoP69Do9NSU4bS0pfX0KZixe6qrOynFWIDrJ/pZGDfeNYuHMSERXpzlnQbiFJINtK9QyCrer31JGHJWAL0U5sF8tJu8S6bLUrVflCxhvwvdq6J7JfsXUG8t0HdkgsEaIdZGTA3++3nmf6qnSKvcK6xIAv4PHpFP8nlQK/3vSsSmfBzokc7BsnV3oWop1kZEDWA/GMKju3GsppC9otIAlkW6qu+pW7eeHBWRbunEjaJXGyfESINma7QuKwgg0EO+uy1SZ4vGbdE+lfdRqAif+6h8+floGfEG3JtoJh8pf3AKABdFdd1mUGfParo0IrsxhVlixXehaijdkXtAeVG1FARbATr4ZqIUkg21jA49PRbUlF9epNSGU2wwqSmfLJVBn8CdEGbIH6rs+tV0gscA2kfPS4rheoq1c0WK69HoCeKp27v5gkxSgh2khGBvzjuhUs/mUUEVUnASi/9gan2/PYLNvqqGDrxf4GlRulsC1EG7G/+vuwgg0EVJmo6hWF+3rnXw3VHEkg24PdBTEKXIOIVGky+BPiAtkH6qAK6xUSPa81OO8+peYYDOj+sxqwzowEVWTKXiYh2oAtljx15GG8KKXSzRPAer510Vjivn5tzZWehxUkSywR4gLZF6F6Vp2gyDusaxa0GyEJZHupviCG57UGGfwJcYHqB2rnvELi+Sq/9gaKvCJkL5MQF6Du3mkPzlLu5kVpwuLOblr7sytsW2OJXPBPiPNVtwhV4eaJf4oTX3jrPEgC2c48XkvAPHqcDP6EOE8SqK0zI/6pa2vtZQqYMYnc9RJHhGiplPtW8OAnoxhWkFy9d7o3ui2p9Hh4Wmc3rWNUF7b9U9fKBf+EOE/2V1qtKUK9vqTbjEds2jyBnD9/PhqNptZXeHh4W3+M87AL2DL4E6LlGp0t6IaBGqi1lwkgpCoTy5SpsjReiGbYYsnNG6xFqHKNrlstNaunzgX/pLAtRMvkrjcSMGOS3ZVWrUWogMend3bTOly7zEAOHDiQzMzMmq/du3e3x8c4lwYGf0yeyP7oOEkkhWhAY7MF3TFQ16jey2QePY589whCzenc8clE0i+VOCJEQ3LXG0m/NI5pn03CveosZS5enH1zWbdawdAQ+wv+SWFbiKblrjeyv08cTJ5kHb/TPa602pR2SSDd3NwIDw+v+QoJCWmPj3E+dQZ/QZYs+h9PxvRwfGe3TAiHYQvUtyQ/JLMFDale1aC+WkuhXyShKourTifDZBn8CWHv+MIVeN00iitPJxNalUmhX2+K/9PNi1D2pLAtRLNy1xupmDKVmLQNBFkyyddar8HQHa602hS39vimhw4dQq/Xo9PpGDZsGC+99BIXXXRRg8eazWbMZnPN48LCQgAsFgsWi6U9mte5Bg/GdcM6LBt3kD3tDgItWQSZ9rB3wEQCF88leOyQzm5hs2z90iX7pwtz+H7bsQPz3Beo/Gkv0eXZ4KGh2CWIspcW0+PhaVgAHLXt7aSpPuvx+8Gw8QtO33gHvqVZ+HGG/Dv+wN6IS50mlnRFDn+edQN5G3eQ/+QL9E7/Ea2HooQeaK69Bt8X5sKQwfX6plv32eDBaL7+ipK5L1D8014CyrPxy/6O8j/EkVsdex1Rt+4zJ+Zs/Za3cQdMu4NAlxxMPnpyeg4hcPFcXMcO6ZJjktb0i0Yppdryw9evX09paSkxMTFkZ2eTkJDA/v372bt3L0FBQfWOnz9/PgsWLKj3/CeffIKXl1dbNk0IIYQQQgghRB2lpaXceeedFBQU4Ofn1+SxbZ5A1lVSUkLfvn155plnmD17dr3XG5qBjIyMJC8vr9nGdwW2Smlg1l4CLVloAEtQOO5ffgZDHHMGwWKxsHHjRsaOHYtWq+3s5ogWcth+q555LPlhBz1UPnku4bh88ZnMoNG6PrPFkqiTP+Kuyihz8aLki2/k99jBHPY86wbyNu7A+7Yb8aiyLn1Pi7ymRbPx0me1/evWT7np29noOMsZbSg+wy9F98JchxqTSJ85J2fotzNLPsUrfjZuFaUA5GvDyO8mK3sKCwsJDg5uUQLZLktY7Xl7ezNo0CAOHTrU4Os6nQ6dTlfvea1W67B/XG0p4sariLhxHbnrjZyZMInQqkzcTh6j6PrJ6K4cbL3PnYOuse4ufdTVOEy/GY2UPR2P+edd+JZm4YXilGsUJR99wYAbHfNvvrO0pM9sseST8SuYnPQw3uRTfvNkKq927DjSVTnMedYdVMcS7eZdeJXnY8aTteP+xp1JrdvrKH1mNfq96Xz49CXc/uVUwgvTYMNxLP/7H6WvL3G4/aPSZ87JIfutOo74pqaiU2WUoWNXwGguWpXAwPHd49/P1vRJu98H0mw289tvvxEREdHeH+XUQsYbOP3xWlI9xpGjicC3JBv3lGQqpkwFo2xmF12M0Uj5+EnoUpLxLc0kRxPGtoBxeKxLZMDd3SNQt5fRH0xn2Z2pZOt6E2jJQpeSTPn4SRJHRJd0+m8rMI8YhXtKMoHlmeToevP+XamM/tCxEh1notfDk6sMaNcksi0gFjMeuFeU4vnkg5SNiZNYIroeo/VCOe4pG3BXZZTixWt9lxG5J4mQbpI8tlabJ5B/+ctfSE1N5dixY/z0009MnTqVwsJCZsyY0dYf1eUMuNtAzJEkPp22lp/8YzntEoTLyTQZ/IkuJXe9kfwbpuKWZ70Udo5LBJ/duU4CdRuxH/zlulgLd255mRSMniiDP9F1GI2UjYnD88mHcK8oxYyObQHj0K5J5ImVBvT6zm6g8wsZbyByTxKv9V1KKV64KzPuKcnk3zBVrtIqugxbEUpz8gS5rmH85D+O9+9K5f7vpkscaUKbJ5AnT55k2rRp9O/fn1tuuQV3d3e2bt1KVFRUW39Ul2Qb/EXtS2K3uwENMvgTXcfpv63AZ8Io/AtPkKMJJ9VjHGc+XisDvnbQ2KoGGfwJZ2crQslsQfvT6+H+76yrGn7yH0c+QfQoTMN9qhS2hZOrU4Qqw5PnB68jal+SjElaoM0TyM8++4yMjAzKy8s5deoUX375JZdccklbf0yXp9dD+PsJdoM/61K0gj/LPSOFE7IL1B5VpZhdPPnsznXEHEmSJavtqO6qBhn8CWdXuwglswUdwb6wfcjfWtj2K5XCtnBeDRWh3ui7hHnrJHFsqXbfAynOn/3gL8clAgVUbDVKwBZOpaFA/dXYJVLh6yAy+BNdQiNFKJkt6Dh6PVz8aQI/B4wj20VWNQgnZTTiPnUSPQrTyCdQilDnSRJIB2cb/J35eC2nXKMIUPm4pyTL4E84heMLV+B1U/3ZArnARceTwZ9wVlKEchy2fZGf3lF7VQOTJ0kcEY6tughVMGoSvqWZaIBD/gYpQp0nSSCdxIC7DXiss14RLcdFlrQKB1cdqMPmPYSXKqVMI7MFjkAGf8LZ5K43wuT6swVShOo8Da1qCLJkopkshW3hmOyLUNYrv4fzc8A4Lv40QcYj50kSSCdiP/izLWm1bDWyPzpOBn/CYdgHah1llGq8yJ0vswWOorHBH5MnSiwRDiN3vZH9feJg8iRrcoLMFjga26qGA1HjMGkjCLTIqgbheBoqQsmV3y+cJJBOpu6S1kCVT8zxZBn8CYdQd8nqtoBxlH6dSp/nZbbA0dQd/AVZsuh/PBnTw7KqQXSu3PXWe7LFpG0gyJKJSRvOgT4yW+CIQsYbGHA8Cf69lm0BsqpBOA4pQrUvSSCdlG1J68Go2FqDv8PT4snI6OzWie7GFqjrLlmVCp9jsx/8mbTWVQ1hJ2VVg+g8ttmCMHMaBa6BHOwzDv69jgHHJJY4MtsKKVnVIBzB/pVGyiZKEao9SQLpxBoa/PUrMJJ2SRxv3W2URFJ0CNusY0xasixZdVIh4w3w77Vk66Lwr5RVDaLjNTRbkN3LIImjE2lsVYPMRoqOkpEBb95lpMeMSfSsTCNfI0Wo9iIJZBdgG/yd8YsikHyGFSTzwKpR/OO6FZJEinZTd9bRjI6DfWTJqrMKGW/AbU39VQ0y+BPtzb4IZT9bELQkobObJlqpbmEbZDZSdIz9K40c7BvHtE8nEVplLUJph0sRqr1IAtlFhIw3EPjfRMpHx1Ku8cCLUp4+8qDMRoo2Z6vwWar3KNlmHbMXLJNA7eRk8Cc6UmNFKJktcH62wva52chsYo4nUzZxKvtXShwRbcd+1nFUWTKhKpMi73DMo8fh/7YUodqLJJBdicGAx6Ykzr65lHI3L3SYGVaQzB2fTORg3zgJ2uKCZWTAP65bwYOfjCLMfAKTNkxmHbugxgZ/XjeN4sPrZWWDuDAZGfDhmPpL36UI1bXYF6QORsWSrwmiZ2UaPWZMksK2uGC2xDHtkjimfWaddQSoCI7AP2UdHpuSwCCxpL1IAtkFBTw+Hd2WVMpHj6PIK4JQlcWosmQJ2uK82WYK8mJG8PSRh/CiFLOLp8wUdGF1B39mPPBSpUzbJCsbxPmpNeBLkaXv3YUtlmiHWy+wE1qVyR2fTCQvZoSsbBDnxb6YPawgmdCqc7OO7uvXSuLYASSB7KqqZyP9U9dSEWxdimYL2jL4Ey1Vd6ZgUMlWdJRR7uaFefESSRy7AdvgL3vBUs66nFvZIPusRWvY708aVmBd+n7WRWYduxP/txMw1xS2sxlUstW6z3qSFLdFy9gXoWzF7HKNjvLR42TWsYNJAtnVGQy4r19bK2gPK0jmoVXXkNtvpARt0aDGZgrSIoZTPnocui2pBDwuswXdSZ/np+P1k3Vlg/0+a5lFEE2xrV4ImR5ntz8pjPLR4/D6SWYduxW7wnb56FjOuAYBEFQhxW3RNFsx2yUygns+HV9ThCp38+Lsm8skcewEkkB2B3WCdrnGAw/MXFa6RYK2qCd3vZG8mBHM+uRahhUk15op6JOxRQJ1d9bAPutBJVtlf6SoZ/9KI1t6xMGkScSkbSBQmQDZnySoiSMV65I4EDWOwjrFbVP/kVKQEkD9YnZYVRZBKq+mCCXF7M4jCWR3Yjf4K/QOp9gjWIK2AM7NEhwOHwGTJzGoZCselNUsDZGZAmHPfp/18fDhtfZHyoxk92Y/4zi8IJmgikxM2jDSIobL/iRRi215fI86xe1Li7fgNjGOXHc9xxeu6Oxmik7SUDHbrNFRMmiEFKEcgCSQ3VDA49PxL87E9/v1ErSFdaA/eRL905Lpm72VIEsmZ1yDKPSOkKUhonHVBanozC219kfaZiR9bryG4stGglESye7g9N9WUOATgXbS+FozjoWeEfDvdbJ6QTSuTnG7wC2YHpUmgi2ZhM17UApS3UhzxWyPn3/AZ9dmiSMOQBLI7qyZoH1cP4KyMXEyAOyC6gbpIIv18tdnXIM42GccFeuS8C/OkKUhokXs90faZiQ9MOO9ewtF18RR4KPn9N+kKNXlGI2UjYnjWMQIPJ98CL+SLPwr8mrNOPb4bq1cIEe0iK24bVm7niOhwynDAx1mYo4nS3G7q6uOJW4T46SY7SQkgRSNBu2ozK24pyRTdpXMJHQl5gm31AvSJm04B6oTR7kiojgvdWYks13CMWmC8TGb8CvJxPNJmUnoSnLXGzlz3SR0Kcn0ydqKuyqjDB17fEbIjKO4ICHjDVycvYXib77nYPW9aOsWt80TbunsZoo2YFu5UHTteNxTNtCj0rpyQYrZjk8SSFGjbtDe7W2dSdAp60zCmesmSuB2VkYjJSN/D4D2+//WC9JyP0fRlvo8P52q9Ez+OW09u7ytRSl3dW4mQWYknZTdjCOTJ+F31rpywaQJYl/kOJbe9QNBBzZLHBFtwv5etHWL29rv/wtAycixUtx2QuYJt9RaueBTlkeOJozd3sOlmO0kJIEU9diCdvDBLXw6+txMgt/ZbOusZHXgztu4o5NbKppkN9g7M2oSXnu3AVCOToK0aHd6PTy5ykDIwS28d+f3/Nbr3EyCbUZSlsk7iepYUnRNXM2MY5AlE5NbOFv9x5G3IolLTyTxxEoDen1nN1Z0NQ0Vt8vxAMBr78+yTN6J2MaN7t//t9bKhV1eI/jsznUEH9wiYxInIQmkaJReD3/cdG4m4bdeseRrgmped7v9FgnajqiBwZ5faSb5BAKQeN3fJEiLDmNLJAemW2cSdtvNSMoyecdWd3mZj9m6csGkqV65sHYdI84kMeBuiSOi/dkXtxOvfQuAfE1QrWXyUpRyQPYrF6bdUfO0/cqFkEObpQDlZCSBFM2yHwDmrkhim98NAPhX5tcE7cPhcun+ztbUYG9f5Dg+v201AHevmyZBWnSKkPEGgu1mJBtbJi8DwE7UwIVxbMvLdnkPr5lxlAKU6Cx6Pdz9n2kAfDb1y1rL5KUo5ThsF+srvPpcMTvQkgXANr8bZOWCk5MEUrTKgLsNXJVuTUT2eV9ZE7T7Zp+7dP+RcLmfZEeyBemmBnuXnkjikfeHdHZThahVkGpsmbwuJZnCq+OkKNWBGhrs1V1eFnJwi8w4Cofyp38MqbVMvqGilMSRjnV84Qpy3SNwm2i9pY9v+bli9uHe1gmIq9JXSxxxcpJAivMW9Mu3NUH7SNi5S/dflL0FJk+UWcl2lJEBH45ZQa72XJCWwZ5wNk0tk/ctN0lRqgM0NdiT5WXCGTRXlLLFkUMhI3nrbiMZGZ3d4q7H/tZgYfMeItiSRY9K6y19DgWdK2bH7F7d2U0VbcStsxsgnFd4uDVoQxJgHYh4JzyLW1UFQZZsgrOtSxXOTDSyR2/g2+sSuO1VGYScr4wMSLprBRN/eJZi1xCmmQ/hQRkAedpwssMH1/yOn5DfsXAitgEgJLF/pZGDj8YT5FZApOlXPCjjouwt5E2eyEG/Ppgq/An4vwQpjJynjAz4/Gkjsd/Fo7MU0DP711px5LTd7/jSuw1c2sntFaI1bEWpjIzp/LP67/yik6l4UMbFeVu4e1UcfAKHgmL4etzbMia5ALZYclPyY0SafiWIMjSAAsrQkRF2BX7L3ybGbqm7xWLptPaKtiUJpGgzfZ6fDs9PJ3e9kYMPxxN20kiPShM9Kk34pyfTd1UK6Ykx7AnVSzLZQr/8Av8308jjefFoCguYVmId7AVXZKEAs0bHqVBrkL50vAz2hPMbcLcB7m6kKGXKoh9gmm7k8F/6UebuL7GkBeyTRm3eKWaVHUbXgsGeEM7KvihliyM6lwqCzHmgIChvC3d8MpHsr/pw3NWflN8nMPMdiSPNsU8aA/MPcQ8aglQeYI0jp8KGUOHpT9C7CfSVWNKlSQIp2lzIeAMhx5PIXW/kwMPxuJUV0CvnVzxUGf3Mu1HpuwlfZZQqYAPqzg545BXzf5WH8bAb7Jk1OvICYgi+TI/Hawn0lRt1iy6qblFKn2nEt9xEkDIRlG1CgRSmGtFU0gjWOHIyVAZ7ouuzxRGMRor/+BiWfYdwddMQas4mrMS6UipmtZGM5H4UeyCrHOqot/rJkkdYVWbN60XuQZiVOyXxi7j4+emd2FLRkSSBFO3GlkiC9Qqh5ueepUgXgk9ZHkGlmbWqgIVfBnPakkmRj57SAD1B7yZ0myv87V9p5HT1kj1KiusN9ADKXXRkhg0hvL8/Hq8l0EuSRtGN1MQSo5Gyp+PJ3F9ApaJeYcqWTB7u4d3tZiftE0afolN4F2ZyDxoClQkNCrAmjbkB/fAzm6h6cREXPy6DPdGNGAz47Npi/f/qWGLZYsTHbCIIE0ElJiih1iqHqorul1DmrjdSMPMxgkyHKPLRc6bCu97qpyL3ICorQXtJDH4fvg0GAyGd3XDRodotgXz33Xd57bXXyMzMZODAgbz11ltce+217fVxwsEFPD4dHp+OPzRcBSyzVgF7FJhQBbspmGjkNFDko0fjqmoGPAHOPuCx+9mLfPSUe3gTknOI/spU6zDb7IBXRTFhriZ0ry2iz3Qn/9mFuFAGAx6bkoiufmhfmAo+fagmmSSbWrOTh3t4oy0rxqvUREn8IuuMhBPLXW/EVL26A0BbVtxgwghQ4BlOkWdwTQyNdPYYKkRbqI4lHkYjxMdjzi0gIwOC8g/VWuUA5xLKtEcj8CvOpMRfX7MCCGcu5tYpyGnLivErzsQNDX0rrctSexSYiKT+6ic/Z//ZxQVrlwTy888/54knnuDdd9/l6quvZunSpYwfP559+/bRu3fv9vhI4UwaqALm7jyFT6F1BtKzNI9gi3V5RI+Cc4mV+ckHOfzykpogV+KvJ6SPN7oQf0hwoGBmNMJjj1F54BDZLnosFQq/YuvP5mfJw7/U7mcrOPe2IvcgCnwiZHZAiBayL0zZJ5NlWu9as5Nkn3uPz7wHSVv8Ws05We7hXVOocX1tEThKoabOwNblbHFNm32LM+hfaWrwbQWe4RS4B+NXnIn2khh6fPg2PRwlNgrhaAwGSEpCB9bCVJ2kKvS0XUJZPR7pkW9Cpeym8GojlZXUjiNVmbgOiIG333asMUl8PKWHT2E+fi7u2X62Pg285Yyr9WrYRT56qry8ZfWTqKddEsjFixdz3333cf/99wPw1ltvkZyczJIlS3j55Zfb4yOFs6quAkZWPwzAWl0/Yrd8osysiCw7jE6V0Td7a81be+SbIL+6MrYhhRy/GBSqY5LLRip39kmiCxDBuUFejwLrni0TQaCBUj9rEHdzgfD+/vi9loCfBGchzkutVQ7UTyi1ZcWEFliXh/cu2APUL+KY732Q9GeW1Dqf7QdP7TIgbKCIZj+4c4daAzz7otoZ1yBMwf1q2isJoxAXqM4qB/t/621FnFw367/zYeUNF4PVli0UXR1XK7nUWYrbdyVVI0mitqyYsELr+MkT8GygvSZNEGdCz8WR/OAY/Ja/Tch4AwFt31LRRbR5AlleXs727duZM2dOredjY2PZvHlzvePNZjNms7nmcWFhIWC91K9c7tcx2fqlvfqnx+8H0+PkdwD4AFlZsDR+BzdsfgF3SyHashJ8S7LIc4ugsNKL31XsxoMywssPW7+BO3ifPQy/QflvUD5qLLm+F1Pu4VXz3mLvCBSq5v/rvtbcsSFnjuBTnk9P+4a7g3f5YRSQ5Wl9Jc8tAm+vc+8t8gtn08i53PLCECLC6/xerb/UdvmdWr91+/abaHvSZ+fP55Fp8Mg0vOyey9u4g/wnX8CzILPW+VxuKiGq8qg1uSzcaT24+nymHNRPUFwdR5qLGy5Y4G/PktZvNC5l5mZjTGjRUbSqjLA6n4krWDw9ySeQLO+++LnWfm+Fhx+Bi+cSNXZIrZ+7veNIVyTnmfPpsD4bPBjXDevoZfdUcRZ8Fr+Dcf99muCCI7XiSHBlFqAhCBO42p3P1cr/3+McePODNhuL2F5zddPgY87HDYWbe53P9dBQRA/SXPoSorI462t9b1UF5Ff40eP1ucTcfi6O+FT/tz1+t3KuObbW9ItGKaWaP6zlMjIy6NmzJz/++CMjR46sef6ll17i448/5sCBA7WOnz9/PgsWLKj3fT755BO8vLzqPS+EEEIIIYQQou2UlpZy5513UlBQgJ+fX5PHtttFdDQaTa3HSql6zwH89a9/Zfbs2TWPCwsLiYyMJDY2ttnGi85hsVjYuHEjY8eORavVdnZzGpSVBe+8A323fcqk7fMo8wpu0xnIxip3jswZ+k3UJn3W+bKy4Nv7PyVuizWOtGQGct/fnmXg46+2aAbSszSfpJHz+f370wgPb749ou3JeeZ8nK3PsrLgywZWUrXVDKSpx8V8dfWrnI4awqOP4rCxxNn6rbuxrQJtiTZPIIODg3F1dSUrK6vW8zk5OYSFhdU7XqfTodPp6j2v1Wrlj8vBOXIfRUbCq68CTK/+qi2kkf9v7nFXuEy1I/ebaJj0WeeJjIR7k+vHkcbihMViYd833xB1KKWmz5qLMfe2UVvFhZHzzPk4S59FRsITH18FrKv1fFuNRUKAOTgPZ+m37qY1fdLmCaS7uztDhw5l48aNTJkypeb5jRs3Mnny5Gbfb1tR25osWHQsi8VCaWkphYWFEgCciPSb85E+cz7SZ85H+sz5SJ85J+k3x2bLvVqyu7FdlrDOnj2be+65B4PBwIgRI1i2bBknTpxg1qxZzb63qKgIgMjIyGaOFEIIIYQQQgjRVoqKivD392/ymHZJIG+//XZMJhMLFy4kMzOTSy+9lG+++YaoqKhm36vX60lPT8fX17fBPZOi89n2qaanp8s+VSci/eZ8pM+cj/SZ85E+cz7SZ85J+s2xKaUoKipCr9c3e2ybX4VVdH2FhYX4+/u36CpNwnFIvzkf6TPnI33mfKTPnI/0mXOSfus6XDq7AUIIIYQQQgghnIMkkEIIIYQQQgghWkQSSNFqOp2OefPmNXj7FeG4pN+cj/SZ85E+cz7SZ85H+sw5Sb91HbIHUgghhBBCCCFEi8gMpBBCCCGEEEKIFpEEUgghhBBCCCFEi0gCKYQQQgghhBCiRSSBFEIIIYQQQgjRIpJACiGEEEIIIYRoEUkgRbNSUlLQaDQNfm3btq3R982cObPe8cOHD+/Alndvffr0qff7nzNnTpPvUUoxf/589Ho9np6ejB49mr1793ZQi7u348ePc9999xEdHY2npyd9+/Zl3rx5lJeXN/k+Oc863rvvvkt0dDQeHh4MHTqU77//vsnjU1NTGTp0KB4eHlx00UW89957HdRS8fLLL3PllVfi6+tLaGgoN998MwcOHGjyPY39m7d///4OanX3Nn/+/Hq/+/Dw8CbfI+dY52tozKHRaPjTn/7U4PFynjk3t85ugHB8I0eOJDMzs9Zzc+fO5dtvv8VgMDT53ri4OJYvX17z2N3dvV3aKBq2cOFCHnjggZrHPj4+TR7/6quvsnjxYj766CNiYmJISEhg7NixHDhwAF9f3/Zubre2f/9+qqqqWLp0KRdffDF79uzhgQceoKSkhNdff73J98p51nE+//xznnjiCd59912uvvpqli5dyvjx49m3bx+9e/eud/yxY8e48cYbeeCBB1i5ciU//vgjjzzyCCEhIdx6662d8BN0L6mpqfzpT3/iyiuvpKKigueee47Y2Fj27duHt7d3k+89cOAAfn5+NY9DQkLau7mi2sCBA/n2229rHru6ujZ6rJxjjmHbtm1UVlbWPN6zZw9jx47lD3/4Q5Pvk/PMSSkhWqm8vFyFhoaqhQsXNnncjBkz1OTJkzumUaKeqKgo9eabb7b4+KqqKhUeHq4WLVpU81xZWZny9/dX7733Xju0UDTn1VdfVdHR0U0eI+dZx7rqqqvUrFmzaj03YMAANWfOnAaPf+aZZ9SAAQNqPffQQw+p4cOHt1sbReNycnIUoFJTUxs9ZtOmTQpQp0+f7riGiRrz5s1TgwcPbvHxco45pscff1z17dtXVVVVNfi6nGfOTZawilZbu3YteXl5zJw5s9ljU1JSCA0NJSYmhgceeICcnJz2b6Co8corrxAUFMTll1/Oiy++2ORyyGPHjpGVlUVsbGzNczqdjlGjRrF58+aOaK6oo6CggMDAwGaPk/OsY5SXl7N9+/Za5whAbGxso+fIli1b6h0/btw4jEYjFoul3doqGlZQUADQovNqyJAhREREcMMNN7Bp06b2bpqwc+jQIfR6PdHR0dxxxx0cPXq00WPlHHM85eXlrFy5kj/+8Y9oNJomj5XzzDlJAila7YMPPmDcuHFERkY2edz48eNZtWoV//vf/3jjjTfYtm0b119/PWazuYNa2r09/vjjfPbZZ2zatIlHH32Ut956i0ceeaTR47OysgAICwur9XxYWFjNa6LjHDlyhHfeeYdZs2Y1eZycZx0nLy+PysrKVp0jWVlZDR5fUVFBXl5eu7VV1KeUYvbs2VxzzTVceumljR4XERHBsmXL+PLLL1m9ejX9+/fnhhtu4LvvvuvA1nZfw4YNY8WKFSQnJ/P++++TlZXFyJEjMZlMDR4v55jj+eqrrzhz5kyTEw1ynjm5zp4CFZ1n3rx5Cmjya9u2bbXek56erlxcXFRiYmKrPy8jI0NptVr15ZdfttWP0O2cT5/ZJCYmKkDl5eU1+PqPP/6oAJWRkVHr+fvvv1+NGzeuzX+W7uJ8+uzUqVPq4osvVvfdd1+rP0/Os/Zz6tQpBajNmzfXej4hIUH179+/wff069dPvfTSS7We++GHHxSgMjMz262tor5HHnlERUVFqfT09Fa/d8KECWrixInt0CrRnOLiYhUWFqbeeOONBl+Xc8zxxMbGqgkTJrT6fXKeOQ+5iE439uijj3LHHXc0eUyfPn1qPV6+fDlBQUFMmjSp1Z8XERFBVFQUhw4davV7hdX59JmN7cqchw8fJigoqN7rtqvcZWVlERERUfN8Tk5OvequaLnW9llGRgZjxoxhxIgRLFu2rNWfJ+dZ+wkODsbV1bXebGNT50h4eHiDx7u5uTV4Hor28dhjj7F27Vq+++47evXq1er3Dx8+nJUrV7ZDy0RzvL29GTRoUKMxTc4xx5KWlsa3337L6tWrW/1eOc+chySQ3VhwcDDBwcEtPl4pxfLly5k+fTparbbVn2cymUhPT6+VnIjWaW2f2duxYwdAo7//6OhowsPD2bhxI0OGDAGs+xhSU1N55ZVXzq/BolV9durUKcaMGcPQoUNZvnw5Li6t32Ug51n7cXd3Z+jQoWzcuJEpU6bUPL9x40YmT57c4HtGjBjBunXraj23YcMGDAbDecVR0TpKKR577DHWrFlDSkoK0dHR5/V9duzYIedUJzGbzfz2229ce+21Db4u55hjWb58OaGhodx0002tfq+cZ06ks6dAhfP49ttvFaD27dvX4Ov9+/dXq1ev1UD5gAAAArNJREFUVkopVVRUpJ566im1efNmdezYMbVp0yY1YsQI1bNnT1VYWNiRze6WNm/erBYvXqx27Nihjh49qj7//HOl1+vVpEmTah1n32dKKbVo0SLl7++vVq9erXbv3q2mTZumIiIipM86gG3Z6vXXX69OnjypMjMza77syXnWuT777DOl1WrVBx98oPbt26eeeOIJ5e3trY4fP66UUmrOnDnqnnvuqTn+6NGjysvLSz355JNq37596oMPPlBarfa8tgGI1nv44YeVv7+/SklJqXVOlZaW1hxTt8/efPNNtWbNGnXw4EG1Z88eNWfOHAXIsvAO8tRTT6mUlBR19OhRtXXrVjVhwgTl6+sr55gTqKysVL1791bPPvtsvdfkPOtaJIEULTZt2jQ1cuTIRl8H1PLly5VSSpWWlqrY2FgVEhKitFqt6t27t5oxY4Y6ceJEB7W2e9u+fbsaNmyY8vf3Vx4eHqp///5q3rx5qqSkpNZx9n2mlPVWHvPmzVPh4eFKp9Op6667Tu3evbuDW989LV++vNE9kvbkPOt8f//731VUVJRyd3dXV1xxRa1bQsyYMUONGjWq1vEpKSlqyJAhyt3dXfXp00ctWbKkg1vcfTV2TtnHvbp99sorr6i+ffsqDw8PFRAQoK655hr19ddfd3zju6nbb79dRUREKK1Wq/R6vbrlllvU3r17a16Xc8xxJScnK0AdOHCg3mtynnUtGqWU6uBJTyGEEEIIIYQQTkhu4yGEEEIIIYQQokUkgRRCCCGEEEII0SKSQAohhBBCCCGEaBFJIIUQQgghhBBCtIgkkEIIIYQQQgghWkQSSCGEEEIIIYQQLSIJpBBCCCGEEEKIFpEEUgghhBBCCCFEi0gCKYQQQgghhBCiRSSBFEIIIYQQQgjRIpJACiGEEEIIIYRokf8PltxjiDp2jdoAAAAASUVORK5CYII=", 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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import scipy.signal\n", + "import matplotlib.pyplot as plt\n", + "import copy as cp\n", + "import math\n", + "\n", + "import numpy as np\n", + "import scipy.integrate as spi\n", + "\n", + "# Пример. Расчет коэффициентов ряда Фурье и аппроксимация исходной функции f(x)\n", + "# Возьмем в качестве примера комплексную функцию, для которой:\n", + "# - действительная часть - периодическая парабола;\n", + "# - мнимая часть - прямая с коэффициентом наклона 1.\n", + "\n", + "f = lambda x: (((x + np.pi) % T) - T/2.) ** 2\n", + "T = 2 * np.pi\n", + "\n", + "# Исходные данные\n", + "x1 = -9. # Нижняя граница области определения функции\n", + "x2 = 9. # Верхняя граница области определения функции\n", + "Nx = 1000 # Дискретизация по оси X\n", + "\n", + "# Ось X\n", + "x_range = np.linspace(x1, x2, Nx)\n", + "\n", + "# Эталонные кривые исходной функции f(x)\n", + "y_true = f(x_range)\n", + "\n", + "y_true_real = [y.real for y in y_true]\n", + "y_true_imag = [y.imag for y in y_true]\n", + "\n", + "# Расчет интеграла от комплексной функции\n", + "def integral_complex(func, a, b, **kwargs):\n", + "\n", + " def real_func(x):\n", + " return np.real(func(x))\n", + " def imag_func(x):\n", + " return np.imag(func(x))\n", + "\n", + " real_integral = spi.quad(real_func, a, b, **kwargs)\n", + " imag_integral = spi.quad(imag_func, a, b, **kwargs)\n", + " integral = (real_integral[0] + 1j*imag_integral[0], real_integral[1:], imag_integral[1:], a, b)\n", + " # print(integral)\n", + " # print(imag_integral[1:])\n", + " return integral\n", + "\n", + "# Вычисление коэффициентов ряда Фурье c[-N/2],.., c[0], .., c[N/2-1] (всего N)\n", + "def fourier_coeffs(func, N):\n", + " result = []\n", + " N1 = -int(N/2)\n", + " N2 = int((N-1)/2)\n", + " for k in range(N1, N2+1):\n", + " ck = (1./T) * integral_complex(lambda x: func(x) * np.exp(-1j * 2 * np.pi * k * x / T), -T/2, T/2)[0]\n", + " result.append(ck)\n", + " return np.array(result)\n", + "\n", + "# Аппроксимация (восстановление) функции f(x) при помощи коэффициентов c[k]\n", + "def fourier_fit(x, c):\n", + " result = 0. + 0.j\n", + " N = len(c)\n", + " N1 = -int(N/2)\n", + " N2 = int((N-1)/2)\n", + " for k in range(N1, N2+1):\n", + " result += c[k+int(N/2)] * np.exp(1j * 2. * np.pi * k * x / T)\n", + " return result\n", + "\n", + "C = fourier_coeffs(f, 7)\n", + "print('Fourier coeffs (N = 7):\\n', C, '\\n')\n", + "\n", + "# Вычисление коэффициентов, аппроксимация, построение графиков при разных N\n", + "N_all = [1, 3, 7, 15]\n", + "\n", + "fig, axs = plt.subplots(len(N_all), 1, figsize=(10, 7))\n", + "# fig, axs = plt.subplots(len(N_all), 2, figsize=(10, 7)) # all what commented below is for Imm\n", + "fig.tight_layout(rect=[0, 0, 1, 0.95], pad=3.0)\n", + "row = 0\n", + "for N in N_all:\n", + " C = fourier_coeffs(f, N)\n", + " y_approx = fourier_fit(x_range, C)\n", + " y_approx_real = [y.real for y in y_approx]\n", + " # y_approx_imag = [y.imag for y in y_approx]\n", + " axs[row].set_title('real part, case N=' + str(N)) # to use with Imm change [row] to [row, 0]\n", + " # axs[row, 1].set_title('imag part, case N=' + str(N))\n", + " axs[row].grid(True)\n", + " # axs[row, 1].grid(True)\n", + " axs[row].scatter(x_range, y_true_real, color='blue', s=1, marker='.')\n", + " axs[row].scatter(x_range, y_approx_real, color='red', s=2, marker='.')\n", + " # axs[row, 1].scatter(x_range, y_true_imag, color='blue', s=1, marker='.')\n", + " # axs[row, 1].scatter(x_range, y_approx_imag, color='red', s=2, marker='.')\n", + " row += 1\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "##### 1.5 Найти коэффициенты ряда Фурье методом ДПФ. Изобразить на графике исходную и аппроксимированную функции." + ] + }, + { + "cell_type": "code", + "execution_count": 155, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from scipy import fftpack\n", + "\n", + "# Количество коэффициентов\n", + "N_dft = 31\n", + "\n", + "# Расчет коэффициентов ряда Фурье\n", + "cn = fourier_coeffs(f, N_dft)\n", + "\n", + "# Определение функции f(x) на одном периоде (от 0 до T)\n", + "x_period = np.arange(0, T, T/N_dft)\n", + "fx = f(x_period)\n", + "\n", + "# Расчет коэффициентов методом ДПФ\n", + "X = fftpack.fft(fx) / N_dft\n", + "X = np.roll(X, int(N_dft/2))\n", + "\n", + "# Аппроксимация функции f(x) новым набором коэффициентов\n", + "y_approx = fourier_fit(x_range, X)\n", + "y_approx_real = [y.real for y in y_approx]\n", + "y_approx_imag = [y.imag for y in y_approx]\n", + "\n", + "# Отображение результатов\n", + "fig, axes = plt.subplots(nrows=3, ncols=1, figsize=(12, 7))\n", + "fig.tight_layout(rect=[0, 0, 1, 0.95], pad=3.0)\n", + "axes[0].stem(np.real(cn))\n", + "axes[0].grid(True)\n", + "axes[0].set_title('C[n] coefficients, calculated as Fourier Series')\n", + "axes[1].stem(np.real(X))\n", + "axes[1].grid(True)\n", + "axes[1].set_title('X[n] coefficients, calculated as DFT')\n", + "axes[2].scatter(x_range, y_true_real, color='blue', s=1, marker='.')\n", + "axes[2].scatter(x_range, y_approx_real, color='red', s=2, marker='.')\n", + "axes[2].set_title('Function, approximated with X[n] (real part)')\n", + "# axes[1,1].scatter(x_range, y_true_imag, color='blue', s=1, marker='.')\n", + "# axes[1,1].scatter(x_range, y_approx_imag, color='red', s=2, marker='.')\n", + "# axes[1,1].set_title('Function, approximated with X[n] (imag part)')\n", + "axes[2].grid(True)\n", + "# axes[1,1].grid(True)\n", + "plt.show()" + ] + }, + { + "attachments": { + "image-2.png": { + "image/png": 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" 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" + } + }, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Амплитудный и фазовый спектры действиетльного гармонического сигнала\n", + "##### 1.1\n", + "![image.png](attachment:image.png)
\n", + "##### 1.2\n", + "![image-2.png](attachment:image-2.png)
" + ] + }, + { + "cell_type": "code", + "execution_count": 156, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", 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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from matplotlib import pyplot as plt\n", + "from scipy import fftpack\n", + "import numpy as np\n", + "\n", + "Amp1 = 3 # Ампилитуда сигнала 1\n", + "Amp2 = 1 # Ампилитуда сигнала 2\n", + "\n", + "f01 = 3 # Частота сигнала 1\n", + "f02 = 12 # Частота сигнала 2\n", + "\n", + "phi01 = 3 * np.pi # Фаза сигнала 1\n", + "phi02 = 2 * np.pi / 3 # Фаза сигнала 2\n", + "\n", + "Anoise = 5 # Амплитуда шума\n", + "\n", + "K = 1 # Коэффициент усиления\n", + "\n", + "fs = 64 # Частота дискретизации в Гц\n", + "T = 1 / fs # Период дискретизации в секундах\n", + "N = 50 # Размер ДПФ (количество гармоник)\n", + "\n", + "# Оси времени и частоты\n", + "t = np.linspace(0, N * T, N, endpoint = False)\n", + "f = fftpack.fftfreq(N) * fs\n", + "\n", + "# Генерация действительного и комплексного гармонического сигнала\n", + "x1_imm = Amp1 * np.exp(1j * (2 * np.pi * f01 * t + phi01))\n", + "x2_imm = Amp2 * np.exp(1j * (2 * np.pi * f02 * t + phi02))\n", + "\n", + "x_imm = x1_imm + x2_imm\n", + "\n", + "\n", + "# Дискретное преобразование Фурье\n", + "X_imm = fftpack.fft(x_imm) / N\n", + "\n", + "\n", + "# Амплитудный и фазовый частотный спектры\n", + "A_imm = np.abs(X_imm);\n", + "P_imm = np.arctan(np.imag(X_imm) / (np.real(X_imm)+1e-6));\n", + "\n", + "# Отображение группами (subplot)\n", + "fig, axes = plt.subplots(nrows=3, ncols=1, figsize=(10, 6))\n", + "\n", + "x = X_imm\n", + "A = A_imm\n", + "P = P_imm\n", + "\n", + "Title = 'Complex signal'\n", + "axes[0].plot(t, np.real(x), label='real')\n", + "axes[0].plot(t, np.imag(x), label='imag')\n", + "axes[0].grid(True)\n", + "axes[0].set_xlabel('Time [s]')\n", + "axes[0].set_ylabel('Signal Amplitude')\n", + "axes[0].legend()\n", + "axes[0].title.set_text(Title)\n", + "axes[1].stem(f, A)\n", + "axes[1].grid(True)\n", + "axes[1].set_xlabel('Frequency [Hz]')\n", + "axes[1].set_ylabel('Spectrum Magnitude')\n", + "axes[1].set_xlim(-fs/2, fs/2)\n", + "axes[1].title.set_text('Amplitude spectrum')\n", + "axes[2].stem(f, P / np.pi)\n", + "axes[2].grid(True)\n", + "axes[2].set_xlabel('Frequency [Hz]')\n", + "axes[2].set_ylabel('Phase / pi')\n", + "axes[2].set_xlim(-fs/2, fs/2)\n", + "axes[2].title.set_text('Phase spectrum')\n", + "\n", + "fig.tight_layout()\n", + "plt.show()\n" + ] + }, + { + "attachments": { + "image.png": { + "image/png": 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" + } + }, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "##### 1.3\n", + "![image.png](attachment:image.png)" + ] + }, + { + "cell_type": "code", + "execution_count": 157, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import random\n", + "\n", + "random.seed(225)\n", + "\n", + "noise = np.linspace(0, N * T, N, endpoint = False)\n", + "for i in range(0, len(noise)):\n", + " noise[i]= random.randint(-Anoise, Anoise)\n", + "\n", + "noise_imm = x_imm + noise\n", + "\n", + "# Дискретное преобразование Фурье\n", + "NOISE_imm = fftpack.fft(noise_imm) / N\n", + "\n", + "# Амплитудный и фазовый частотный спектры\n", + "A_imm = np.abs(NOISE_imm);\n", + "P_imm = np.arctan(np.imag(NOISE_imm) / (np.real(NOISE_imm)+1e-6));\n", + "\n", + "# Отображение группами (subplot)\n", + "fig, axes = plt.subplots(nrows=3, ncols=1, figsize=(10, 6))\n", + "\n", + "x = NOISE_imm\n", + "A = A_imm\n", + "P = P_imm\n", + "\n", + "Title = 'Complex signal'\n", + "axes[0].plot(t, np.real(x), label='real')\n", + "axes[0].plot(t, np.imag(x), label='imag')\n", + "axes[0].grid(True)\n", + "axes[0].set_xlabel('Time [s]')\n", + "axes[0].set_ylabel('Signal Amplitude')\n", + "axes[0].legend()\n", + "axes[0].title.set_text(Title)\n", + "axes[1].stem(f, A)\n", + "axes[1].grid(True)\n", + "axes[1].set_xlabel('Frequency [Hz]')\n", + "axes[1].set_ylabel('Spectrum Magnitude')\n", + "axes[1].set_xlim(-fs/2, fs/2)\n", + "axes[1].title.set_text('Amplitude spectrum')\n", + "axes[2].stem(f, P / np.pi)\n", + "axes[2].grid(True)\n", + "axes[2].set_xlabel('Frequency [Hz]')\n", + "axes[2].set_ylabel('Phase / pi')\n", + "axes[2].set_xlim(-fs/2, fs/2)\n", + "axes[2].title.set_text('Phase spectrum')\n", + "\n", + "fig.tight_layout()\n", + "plt.show()" + ] + }, + { + "attachments": { + "image.png": { + "image/png": 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" + } + }, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "##### 1.4\n", + "![image.png](attachment:image.png)" + ] + }, + { + "cell_type": "code", + "execution_count": 158, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "noise_imm_2 = noise_imm + K * Amp1\n", + "\n", + "# Дискретное преобразование Фурье\n", + "NOISE_imm_2 = fftpack.fft(noise_imm_2) / N\n", + "\n", + "# Амплитудный и фазовый частотный спектры\n", + "A_imm = np.abs(NOISE_imm_2);\n", + "P_imm = np.arctan(np.imag(NOISE_imm_2) / (np.real(NOISE_imm_2)+1e-6));\n", + "\n", + "\n", + "# Отображение группами (subplot)\n", + "fig, axes = plt.subplots(nrows=3, ncols=1, figsize=(10, 6))\n", + "\n", + "x = NOISE_imm_2\n", + "A = A_imm\n", + "P = P_imm\n", + "\n", + "Title = 'Complex signal'\n", + "axes[0].plot(t, np.real(x), label='real')\n", + "axes[0].plot(t, np.imag(x), label='imag')\n", + "axes[0].grid(True)\n", + "axes[0].set_xlabel('Time [s]')\n", + "axes[0].set_ylabel('Signal Amplitude')\n", + "axes[0].legend()\n", + "axes[0].title.set_text(Title)\n", + "axes[1].stem(f, A)\n", + "axes[1].grid(True)\n", + "axes[1].set_xlabel('Frequency [Hz]')\n", + "axes[1].set_ylabel('Spectrum Magnitude')\n", + "axes[1].set_xlim(-fs/2, fs/2)\n", + "axes[1].title.set_text('Amplitude spectrum')\n", + "axes[2].stem(f, P / np.pi)\n", + "axes[2].grid(True)\n", + "axes[2].set_xlabel('Frequency [Hz]')\n", + "axes[2].set_ylabel('Phase / pi')\n", + "axes[2].set_xlim(-fs/2, fs/2)\n", + "axes[2].title.set_text('Phase spectrum')\n", + "\n", + "fig.tight_layout()\n", + "plt.show()" + ] + }, + { + "attachments": { + "image.png": { + "image/png": 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RDD7bi3GN+NkP9ONL/ki5OTDB9J2B1RcPyPbaPbBFsa2S3Q71fASSLCMZGpoGy9uLE01Hny3YrfoOgJ3QocJVpcJ9NMBdpYc1kJs7Dt/nMJWiFkwT+e16+pFsw+eRkef2S2RZBqtvSeazPkvmhc/Mhzkuo/OK1SF7lGT5RnhjOVlGRkdbpU+6jmZI052dNewqz5V8oK69YP+Q3E/HNEgFtEqckysZedP6/0i9lGVkJDypGxKu5S8lZOUvOhibl7Oh0StlSR5FkH4W527g5/KWH8ucnXFgqxFdrs/kJpE55CSe5OsvSQBkqwfPazqjt8kmr9A9OTLefZa3qyXpdV16ZkSvo6P4HRvC/A+wgetk8eq5/+6+YhdMzgSZwwaRsyCJVIqob3YjZRg8jPp0qlmS2QG2xA3fXpPh1n5kBdZv5EI94skIEfviGwpkWZ49/PzyHlXXdJAPFgLazbYVtppHe5TMtxZn2SN+zQJIKK5DrAtqKCHLYHYt28TZt7KCiSGyzDQF480srnN92KCQjBCkzG3S/iZ7uecK4ZMjlO7GeF1VSh0HgfMDKLyjm8gcvDpWjZEOsk2eBrRbrvPdfFiGhJ7lLH6CWi4T/S/Zav0TgtYJ7codQ9mF+9Vg8iXjeoGrgY3oxbZ5sBNatRaGI/Hy6O2pyMyAH16SCznZ44HOJue+78JrNciXqoz8odftulYjmW5hPr0h9lZlWMh/AxjTm+/foMvAUPAFHh06MOnRHrC05deldqdhDXtWb7ZtXc/HYHJ4cUhxKqU+3+LzRzQPVCstcMR43qDY0PcZllAI248SpYpBY+AgvPSQhMkSotg+5OF+tpN0sIfpPoe3+nw/bnM6kK57DGUV74YYRjJbUdfmUG5Zbt+F27Zan0bVCj3JReZVBZ6NbSd5vjagj9K1VexxYHnMOxvR6Q2QXOHX1+WHtLnEvgOH1eC6r2ENu9+xi/NOlnJaVWVI5TpNswOBp2TG+bxlFdU8oHSdpT8AVjyneeDPU/eluB/oSGaFg30TD6UQ1RWRfa+QpKN5yJX9K9eTyeXGISVX6NIcoztqAzMe14Zs0Y+wgetk8Urzu/uKXdnHm7/hMpckmQ5ynXz8/IRfrwHZxnHmhtSL4+f5Krb0IyvZwxq64HJ0RDB+Qkwqk/dPa3C4XchXVUrtGGnnXOvjJpWGhnLomhPbdrZ1u3ncx52u8e/YiIFmYFYs7O9NqEerNJ6ORqy4HWa+d+7BGnjlONqK22Xme7VILeF8zvPcEVlRn5+rUFVoFgm2WgyxY3mLvTQ5CR2aOSpVaWsVBq4ovr216b9bYMHlUchevxzrpFvhbmDGk3o2dNus8118GJKCP3eJfnJEMhhBvrkgZPnnB67vDlrbuRBF/ATcNsxodCp58tcGnlwM90w+42aCo+SQ0GWJ8AtDNOa+fUcxW0W3HiMP6tSXkguHAwOMIa16E8PqwGE20DoFslU4vFg+entmdJXlWnOQiLl3uNe18C31jVIkTTA8IhH1YpV0Bq0afVuK+CyXxOg1aFl/5ya2xnC9F6sdq/SDRqlO2OblwOhTSabnjMSE8YPG4DrNte4hc/iKFm+sB2BE0f+FkueG+nt/Cmj/kFSsxFH2hBMjQdQ/9/RmS+G0/I2Dbfv+yMEhIUeWdPoaPJnFnKkn9ti3qK/qw54vxmnhiGwwykMijNcqYQwHdOoVRt5L0t4/YyYtfEudUjmZ1yeDQatINj/AkbjZnEKzlTzfyVY68pJRLUNRd+K1KUjGgHoxy4+OjdjN6+vyvW2uRiUc83F9dkZQShANOFDQGPSa1JoHJArhdz2w0824CXbC/KyE18vaGDHo92c7czq9SomOZCO1cANvcN/r05/tLnZKJXqSDb+N1/M7TftPD6i83vaQVkPGd15+PRjYPyZxWiL4/VmXZGNIp9bGHI3hYshdskDPFuV8w88PfowNXCOLF+zuK5yWt56LHuCOF2nGxowGHYrxE66VDJcJHzbL/hbj3c6PvI4Je/ySC+2Ik/gJklwm697H5E2Q8HwlGTnCSMQIORTQOlTyWarSMRcxO1v7hRm7zKNp/4DX1dCEMxrDdZTk5MQgEfVjkw20YY96pYs9lyewb8IZS+G7OyMejDGMhaZP1A/q1DQ32eh2vzimD7v0+9OjHGPYoHCnYfY4pjuNb7SXaiiE9UeB+NDAk/F8SDKRPZrisBohHoyhJaZj1Xo1CtkrdF+OmHtJ4hvW+c4+zGQhdHHJfTBIMniGfFPAf7CDPfuEvDtoVVQFLZvl7LuOIclYHR6ilxdE3c+iMHQdXddZ/ZzMgFI8PvspvmuSketXWmqQjTRQTm/I6ScE78z4Eheklif9kXGTfKGD5LvYOeF7z53mpmwhmy2SPPmOjoxi8xD1zJ93WjnNxfiT3pI064if3EWfeDrOl38ZSIqDw1iKmB5k+mavAYXgET8MB6cXmdcd1cZ6gHGL5kDBl/uIp3tNqNEyN+Ys2WKWyJWGgRmby0fmJkFANQH97fr+xD6+kIfkWYfDkO9tBsWkEi+XOUhnKSRP+K6DbFZweELENm4Lvp09Z5KbsoV0tkj65DsaMorVxeH5DTHvNqHUNvJ8bye30JEVyOZ9BoUkVz0NJDNW1yG5mwT+bfr0xjZfY99/zo2UJZ3Pc3alYUgyis3FYfTlUdpujOi0NGwh32YDP7gi8vUx30xCtro4vcjNvR0CoMP34Fe+z/4lKy6+necIH8DSy3R3RvakyKxdTCbs8TI3lizZQpbIDw1DNmNzhcn8f9dE/p8sQ9sx5+fbOLOPsIFrZPGC3X1FM/nOH/427XGgOlDl2XtaLdtvDW7nR9axjztbJqcdEY+cIF+WSToPCF3cYs6nyRfiBIc6mK04PAnKF6FZ7uKWfuGJD/RllhCXZYl0tkA28mOa/mR14ApEcT32Y99P4UamkM1TSp6Q1UG2OjiMhbZsxKCRPuLph3klM47DHJeZx533N9rL2cZIcnhM6KPyTva95G/LFNJZivET0jrIig1P+IJc1L17wPgWH7ZnJ3l5jnYU4SyYQLqJMdzWnn1C/s9//vOf//y9XeiScQfphH9SWW2pZjxQCvxGwVF+vyESvGDSjPFbWuHyb3if5LbcF/x8LTko/0z/uTcLAsE84wrh3yp4f5Z47ZWcgr8C4SsEgnfzD7dn73/lleC/gl6zhzkQ+LQBK5M2xdIAaygsAlbBX8qk06Rn8794bY1AIBD80/in27M/5+0Bgn8c9mSd2t/diVU89GkPNAalJNcccvFN/Na34K/F5M7T3u33NwQCgeBT8k+3Z58gPWDMfbuDrriwH6zbQpsw6rYYyu9Jrhf842jGsJ/cITkOSeQyBP4Lnn4UCARvQfgKgeB/O58gaBUIBAKBQCAQCNYjcloFAoFAIBAIBJ8eEbQKBAKBQCAQCD49ImgVCAQCgUAgEHx6RNAqEAgEAoFAIPj0iKBVIBAIBAKBQPDpEUGrQCAQCAQCgeDTI4JWgUAgEAgEAsGnRwStAoFAIBAIBIJPjwhaBQKBQPCBTBjft2nfT/7ujggEgv8y/u/f3QGBQCAQ/MMZ96lfl6jVO7Q6PTRDwpX7g5Jl/+/umUAg+C9C7LR+ViZ1oqoFi2XpL1xhvLL8PfVMCHe0xov9jck9tUwYv9OOalGxuwPECk0eduzSuBJe7Itqx+kPkyp1V/dJIBD81zPpFwl9+Uq8NERyBEicl7n949+UAiJgFWymGVOxJ5p/dzcE/xDETutnRdfRkfGlzgnbpOfPZSt7c8UmD13urosUi3d0NAPJF3pRVTd9QrrnIpq6wKHAsFUkmz8h+HDDbdKOaaeO2Tg9T+CWwdCHdGtFfiSDdEY33MTVHesSCAT/bO75Ec8ycOS4LQQ4+Lu7IxAI/qsRQetnRdfQUXB73DgtrxfrFc6I3ykcJy7wV07IrihjDl3wU1Wfgl273YEy+sLRdYlO0o5zp46ZUT1u3LPKvP5D7LHfiFwVacWyuEXUKhD876FbojSwEb0QAatAIPjz+TTpAe2UE4u/QLdfIRXyYldVVLubQKJEf/7seTKiWYgR8jpRLZbnMvNn4vUo6sKxuordHSJVGz0fnT+UCFlUYvWljnQzuC1ecv0N5Z4vIOO24C/cL47FohKqrDiA7+fwWixY3Bm66wSij9CQkeX1DzPYYrf8T7NEOuBAllaXOZgLWKeYUFQFDB393c9K7OFwWkEfounTT8b9CpmwH7ddxWJRcXrD5JovZfHQLpIIeXGqKhbVjjuQov6wzfdNEnYLgeJoscL7HF6Lm8yTYO8p+NUX5cbNBG6LBW/hHnigFFqRhmGxYHGmpnP00KaYeEyvsKA6/UQL7VlKxBbX16OolhCVN+RQvC6Dewr+V9q1WAiUlsbcL83WlWXlunpcf09aPG6T8qqo/gzt8SupKhYL6mxhbL1+N8nivoDf4iS1dnEAjOlXUoT9ztmYnPhjFUYwXbOqm0x/vvyEbsaLxeIk1X5q7KUM1TC1CdvbBybc13JEA27s6jRlxh1KUVvxENLkhV2yE5s7Fd123ayjnXKihmuL6ToPNcJ2C5ZQaZYS9EAzFyXgdc767MQbzrzo8+S+RiY6358QiaVUoPtWC83sQBkUiD3OhdNLOFNnNF/dkzxHNAvR6VpSH8e4rKvr5TDpl0iEnr+3uwPEinP92mr+N+n0VDfcmY2KuMg2bU/65PwqaqjEaK5MP+dFdcaov7Y2/gSdXOCFflpwzyr9UP8MTPo1MmE/TrvKSdVAvz6ZruEVeridTrPCtjxQi7mx2AMUHjuw1pbDQy2K3eIm1Z4stBW1q/gLC5Mq+Jv4XDutwxLxpItopkxKlTH6VZKRJMGIxG1pdiev3VGsgSOaI2Y1w7BEOp4kIln5mXbOHU87+L2cwS8Dhk6vlCQZP0N1VAj9FVsCEnRKVUaB8MIORLdUZfhKcLmArqMbLZK//oskICsOPOEEqbCT+Uwx097eazWsYUKvOwBrGOu7d0Yn9LpDMHtQ5OknnWKRnhIgFXWgSDqtQpx05IyDn6Un2T/UY3yN3CEfJshcOjCj0Wt2MYztvn8z4ybp5DVDwArAPoe5Wxw6oFWIn1xhTpVJuCSQzFiBcatISbMSzkSxKRJaLUs8GyFp/YO8d/P1b2UbGZgPc1xEbTyplNEiG0yjz9Uz6eYIBn+gu2JkLl0oeotCOknwTOJnMcCLzMNJn8JJhGvjkPNyEufeGOXmlhhgNJIcZXleW7LyfN026/dDGNNOHXFybeCJpbhwKUj6gFbTQIeV7Uy6WeJXA8D84rtFGcooO62JAZViC9mb4DxlRTY6FJNpzs4OsNWizB+S6JoOyjcuLkIoeoV48Hqhpm3Wze48UIsnacwrBBpDzYw3miFhNYPWopDOEo8f4KhM7dWkm+Mo+APddUriIoNVMhjUC2TTQY7uL7lNTm3tsD/E0Kuk0w5CsRxhRUJrFcnmIxwNz7kt+Of0y6CTPUMPxLj4o8ABI5r5OGcnQfTyT9JO01ZyMLQRhiNEKmrFLBsMKlnS6Qhp6x9kXznqeTn/LlJrdVp7q8A3t21SiWW+cXeUJ9s8JO/eg9E1yR86nlwK71tM+gLb6+RL5vwmIJnnLNgH+edJv0DwKI/mOiV1kUErBMmSoBw1Uy9kiX9tMby5Iaq+thBX6fQyY9qZE+J3MqeXl091rbfle+z7M6QqX0imfxCuRbEwoZ3N0lBOuTlVtxO/4E/lcwWtukwglyUwW1UmNUAu1+a3YJ5iP0BSBQ6+cVELPwen9jSp9h3BRp0BTp7VSsJiU1FnBkCVAxSui/Q1Vnu1D0Z2eLB1SpT6YeKPnZo0Kd1JuFwKjcGGChwxyjdhYJo72qkVKKSDdO7LS8H57ozbadJVODz/tsGArcLA0MeMAUMb0KpkSV/r2BJhZj4HV+YGt+m5h2omRv3XNPXOmNDBHkyapJNVpG9lbtLO57QFp3f6P5u+fzNjmukkVemQQ9sdvdmnewcq6gEgHyAhIVvtqHP2yeQ759Zvepa5muHb3Reu6h3wujde/ya2lIFktmJfaExDhrmgdcRV+gcDW4LbYng233bOpXt+OylQvA8Qn1eCyYja2QnZoYvcTRbvPsAeB6o6DWYGMhIsrK0ntlm/H0E3T4lNwqgAAB2OSURBVPxKx3N+S8H/GBLZsbtfKT/pko1fofsOcd21Xnz9Uoa7YCVWrvCs7iq5RJO7SJ3GKIplztZoIw2UAA5VZf/BgrxU08Z18wYeKnGSLSuHPo27J6VQCWXTc6XsKMM6v+X7DIGDR51xpPhZDD2ZS9XuxLYf4Gs2y3W4QuhgjK7rIPlIlAs8T4UTmznEl3iWQt+/MO+6Lcp51D3T5wPc8RyJ1hfShTsSTj97W8hhzx0nPzfXdju0qycMBhq4Vxj3lfO/Sac/KGh9RfdM9hiZ4ztO0gX6t2EG6SwDV4YL/0c8vLa9Tr5EWr224YP884jrZJ6eLcHP4vQGqVkCSbJid7qxOx3sB76QTV5zWAmtdNWrdXqeCffFCJErncOLG5LO58HsbbDlsE8gk6DyJUu2dsy5tUiyKnFajvFqDC34S/k06QEAWD14lqIok8ONQxrS6zweAkwVbjzq023WqZQK1HrG7MGlV5g80K7UGJpduN+89bXjObrZT8CjUS21n64cNyo0lAAB2xZbrXsW7HY7drsdp9tPNHvD5amV4XWe6q6P/T8x4b6S4Chyh5K6JPemW/oWyd9+4ZdffuHXL0ecXWk4EpeUo8+eyWQyweSB+26beq1EsdhEw0DXp1uEk1aNhmYjFHayqgebvgcJSQL9Ybdt13EzTbwKx5kYzm12u58HhIkJD/ddmvUKpUKJngGGru+mFTt0d7MMtmTcot4xcIQOF25QTC43NmlIrzN/6PZAI31CvGUlUz4nsOvN3Vbrd8Y7dsz7tTuGyiHRrRz8hG42zpXuI5PwvggU348Jkwkm4xH9dpNapciP2hDQeVgwSBOGgyGSYn65s/1Y04Z1szMPFeLpFkosQ9j6usKP75sUKz3MHi82mOpMD1yhwxdBg8Xnx2b0aHammm8A2Lx4lgZ1cBjCIw3ptOaP/iUcXs+SPh/gcCkYvfbTTeROcpg80C2VaBg2vJ6Ve+zvm39jZ8u/Zdt7OFMpfPoVyXicbMtBKud/VTd2Y1ud3JGP8M+PuhU+fmXv6IDjkAt6dVqr0iS20On76hkn2QGuXJmse0mi29jygxCZmEIjmySevIJvOWJ2EbF+Fj7XTqu0x0s1lJAAY3YmOrmvkDxLc90zMFutWBUr8oqroEX8Fwvxp2qsHOcSS0cvBtWIheqLa5cjW4Nq5F9P5STZiutbilzc/bqRkWR8AQ/ZsxKNlBOvaUyj1MAaSGAdVV67ag0m7AEPyo8q3QHs/DaZyT2VeIR0RyF6cUvU+Vbz6OD0MoFflpBkM4rlYMkJjWnnzoj/aDCUFKxWBavyGKPM/qsN0SUFRXlR+VbfgxW7TeKqWqAeSuGRdQa9FrXCHcPXLhk3ScevkY7LpJwy16+VW8FDPUMk+YOOLqNYrVgV5Q0xV4v4r8/6KCsuDhMZUn7Lyl3zzTLYEk1DB3rxX7HEX37t0HV4nMHBNfmejvlbjmPLG4z0Fut3ym6yWGaoaWC2sI1opkezOp7zFF5zi91W3hb2YdKndHZG+m6AZLZitVpRVvrSIYMhWAOv3TVvXje78UAlnqb1eKyZf1nivuDnS3YaKsqOU85T3qkmaBq6IWMzr7hdMpsxS8Z0hxUZWZJANzBg0Q6YFMwyDB4WEzZk6eUMS3sSGMZslNvKoU5MjVA1AEnBl7rgdMWx0fvmH4ZXR/zr6rGjZmyeMKlcFOcWd5Ib297zkogq/JZuoJzebmnTP1Ind+Qj/LOmob2mWzP2zGYko4emsaRUm3UaelxldXRrgkv/y7B4W1tuOU3gK5xQ1TycX+76hh3Bn8nnClqN8UsF0oYMDQmz2QyMuIonqUqnlP8d5zHuui/4uXtx3D6fm2OgtYok40ck5J9kHx99R8KTuiHhmrtsUODkrLdUl4TnMU8RA61VIJmOcGb5g1Lg9eHsuUL45AiluzFeV5VSx0Hg/AAKO8hkHmPaF2lXAzRukwtGqCoJyreh1Uc/WyOjOpzYX6lj0kxz9r2HK/eTn4HHIKRO7K71FFBKkoxkaFOjtOJ2e9P3sM9hKkUtmCby2yz8lG34PDLyymM9jXo6zrX0jXLCiWmXN9SOa8TPfqAfX/JHys2BCWBMJVSls30tLOZYa/RKWZJnZxzYakRXONvNMtgSWUZepefTVpCVucqt38iFesSTESL2MsXAjskjG9fvI2tksc2QJHn2oCLrd6b0NtnkFbonR8a7/4Yts832oZ8/I9kyk7q9Ify4sLop3I2lNIRxh/ZAxmZbPZnbrJvtMdAqcdIthdOb6bHmqkdILN8u+OnR0bUBrWKWyJHOxW0Wtywjo6NpY1je59d1NEPCbJYBE1arAtd9BizNxURD10HeX9xfNJjAQggwYXg/zYk37yQHD6nbW6K6zrBXI58NEjRuqITndPbd8z+f72ygD1sUklkiSSv/znvXBzLbtD1pUygOsTlsDKoF6rH8FvmsH6iTu/IR/nmdbs0YaxoGMvKC6myn02Ajdu6mdpblJGblJu991ssdbPnoukBDcuCQWxSu+vijIp/1s/C50gMGDRr3ix/1SxU6kgOvywQM6A4MrN4AzxuF4+mDQC+Y5eaoKqpqxx2OEbJqNOqL0a2sPJaZ/Snmlfu2smJfqOvQajBY2e4cJiehQzOtUpV2tcLAFcL35oBxQrtyx1B24bbtct2YZvqMKzlBufDegHUz2qCHJrkIBOZ2zfpdenPWzuRy45A6VEr9lbZ80/cAJkuIYvvf/PvnLT//+B/+326NQsy18vhPb2ZJXkscZxJb7ZAsMOgyMBQ8gUcjB0x6tDflJL9gTh/tbgKxADYG9F+pZxsZbMW+A4fVoNfXsKpLuq5aWEyV3MMauuDydzOt+Amx2ui1Wlezcf0+spsslrF5HciDKqX2esn0CkmuNA+pzNuPXdfbhzG93gBsAY7nFtao13sRaI7varQkF17H6na2WTdbo9VIpluYT3PE1iXi7R1gUVXsbj/RTBjb8I5aB9h34bYZtEpVljVgVK3Qk1x4HdN6LX4fVq1KcemR94e7Cg3Diss1H6QbdGqNxafAxw1KdzqKy4t1JzmY2LeoqHYn3lCahA86tcZCfz9i/h/znVXVjtMbJeqR0QeDjTcSm9se007HuZaj5Mo5Ts13JJP1rX6k5aN0cmc+wj8/6db1C92a9ZTrUgvD5sY1L7htdRqQHVEuz78h3Z0RTDWfZbqtLR+ViGcHuDIXXKQ8aPkkhaVxC/4+PlfQKmuUIlEK9Tb9fptaIUzk+wDbaYLDfQArdqvEoFai/TCZ5jMV4+Rbqyy7wX2vT7/fp9/v0izlqQzk6euZ3oA+7D7XVcxTHcjYtqhLDYWwdgrEi0M8oeV8rtdp50JEcyXq7S7ddp1i4ojIlYEnFdvtXaiTDpU7DbNVZthu0176648mwIRuLoA7kKP7zldgma02zEaLUqXPGBjf10klrxf3P/ePSZzaGHw/4SRTodntT8eYylAbbfH9E3vsW1QsB3trdj0MBo0W0nGGlPsNEbvVjlUa0ijNXuEz7lOJp2nsHEzM6WO3SSlfoifZsL92A7K1DDahEo754PqMYKpEvTttv1bKEI0WeWmLTdjjl1wcQzV+QmKXVy5tXL9vlMUSe94ECZfOVeSIRLFOu9+lXS+RSZWed1+MIa2GhieT4UOebVndE2xWBXoVrroPwIRRM0e8MHgOIiZjRvc10vkWyrcorlcUdZt1M2nGsKthahsiG6PXoGU+JRd75cc+xm2KmSK1Zptuv0+3XaOQLtKTHThtABa+pU5ROmmC4Ry1dpd+t02tECWYHeBIpJ6PstUoiWOZu3iQRKlJt9+lWUpwEr9DPk7xYoOqleUkVZrqc7NEKhjnTvKRiE2PYLeRw30tR6FSp93t0++2aZZS5O90FIfj+d0QHzT/hjag25/qarueI9/QMdts61NTtmh73M4Sv4bj1CmqSSWWOkaqJkk33/vbglvo5Fv5EP+8qFuVdpeBPpNzu0YuHCTbUzhNLT4kvFGnl6XgTnOZ8aBfRQjmZq9D28qWjyjFs/RsCVLeffa9KWKOHvn4o60cUfSreHPi9Vd/F58rPUAJk0tAMR0hPzCQFBu+VJlU+DGn5IBvuRz3ySyRX39gyFZcxwlS0SEnL47cO3wPfuX77F+S2YYncUnO/5atRoNG+ojGY12yFVfiYru6Dg4JObIkh8eEXvNYK1BUBS2b5ey7jiHJWB0eopcXRFc9Hbu269NjusHVGcGrl19bEz+pRxV0XUPX9Pc8HwOAyZ3iIqGTzB7xS1JCsXmIphLowfjcnb4Je7zMjSVLtpAl8kPDkM3YXGEy8jbf74j5mEzK/bYHmvb85C76xNNxvvzLQFIcHMZSxPQg6c1Xz7Goj7Li4tt5jvCr0/lxMtj3n3MjZUnn85xdaRiSjGJzcRgNveJ893Fny+S0I+KRE+TL8sITuK+ycf0+skYWW+1oWAhd3iBnsxQKcappHcxWXIephRdayZ4UmT8vYgVATVyQ0eLkg7+SZZrzmEgdkoxMj2Ind2d8iXew+jJcrHG426ybXrMDngSejVNh5TQX49VnRyQJY1AifT1E043pq9kcPlLlxFMwuudMclO2kM4WSZ98R0NGsbo4PL8h5p0PJ/bwZstcmtNk82cEtem8e2JlUtHlhwglXKlz3O0kyZM0Q0PG6jrm4jwxe0vFdnKQ0Kjn4+SHOgYSsmLD9e2S8/iinn3E/GvVOEdPDzOYsflSXKTcGwOntW2Pm6TjVxi+CxKzV66YnAlSviqRZBr/bZa33F8/skkn38wH+edH3cpmi2RPvqMZAGmOWs96GHqRf7ZBp1dwEDjnUgsSzJ4Q2S9zGd5sy++LZ6Q7CrHbx1f0HRBKnVI6yhIveqgcd2gOFHw5kS7wd/F//vOf//zn7+4ETF8gHOyE+bnxPXICgeCzIdbvn82IYuAr7fAfFN504/0381Ai9Gsa80Wf/HvfXCf4y/kz13czpnImXdDNvvbOus/DpBnjt7TCZT2OCFv/Hj5XeoBAIBAIXjJu0Ry6CGzeZhUIBH8SvWYPcyAgAta/kc+VHiAQCASCl+wFKLbXvKpEIBD86diTdWp/dyf+lyN2WgUCgUAgEAgEn55Pk9MqEAgEAoFAIBC8hthpFQgEAoFAIBB8ekTQKhAIBAKBQCD49IigVSAQCAQCgUDw6RFBq0AgEAgEAoHg0yOCVoFAIBAIBALBp0cErQKBQCAQCASCT48IWgUCgUAgEAgEnx4RtAoEAoFAIBAIPj0iaBUIBAKBQCAQfHpE0CoQCAQCgUAg+PSIoFUgEAgEAoFA8OkRQatAIBAIBAKB4NMjglaBQCAQCAQCwadHBK0CgUAgEAgEgk/Ppwla2yknFotl5Z8arTGZL+cv0O1XSIW82FUV1e4mkCjRHy/X+kC7mCDkdaKqFlS7G380R/1+slBq3K+QCftx21UsFhWnN0yu+TBXTYmQRSVWX6q+m8Ft8ZLr71DXjEk9irowTjux5uO39xT8KoHiaLGfzQRuiwVv4X72QZtiLITXaUe1WFDtXkKJEv3JjvXsKtdxl1IqjN9pR7WoqE4v4VRlsdxDidDyPNq9hHNN5qWxXl51ouorOhGrz8ZnwZ3pvpDvWlb07flvcT631aHX6p32bUwtasfizdFfumTSTuF8bLOfwW1xk+kvVxvCosZoLnzYphgLTOWm2vGGUtTm+7Stzm6t25tl3YypWEIV5tVg3C/N9MmyZp0uspMubpDDfS1F2O/GqU6/d/qjT/o1KgVQ1QCl5eU5rhO1qwRKc+vm1bld7PM9q9ikx7NxJB7XlAXV6SdaaM9k+UAp9Iq+OlN0N7YP40oYixpjeZoFAoHgn8SnCVoBsH7j4vaW26e/Mr87VpQblogn29hTZf7d/x/+XY6htNIEIxWe3cwDtehXgvkeSjjD5c0t5VwU2/CKyFGEypw/6hSL9JQAqYsytzcXRK09vkfOKI1WtL2BbevSNR2U2XjLp9g2VTxukk5eM1yshHvJTTRzQfnmhvOYDa2aJJJdDo021PPINnIdN0l9DZJuyfgzF5Rvy1wkPBh3cY5OCktBmYQndTObyxsuYlYG389I1p4jj/XycpG6merCTcIBOPi9/Phv1yaJbWC+b7M6c4eYF8psr0MA6CM0yTbr4wXHyuMXe/hCHuTBHbUFAU1oVe7QHSFC6g5dHzdJHZ2Q7SmEc5fcXGbwccdZMElzQ0D4VzLp5ggepWlIATKXN5RzIcytJMGzCi9v45bYVhc3yEEf6lgDCXKXZW4uMxzKLb5H4lQe4MAXwkWPSnXppq5RoWG4CB8ePH/46txuw2Y9HreKlDQrocwF5dsbzo9lWtkIyfoY2OcwN9PTy1Ns87pbjm22HQKBQPBfwv/9uzuwgHSAVVWxPH0wpievKKfLBHJZArOCJjVALtfmt2CeYj9AUoVJM0v6TuJbuUzauTctqKrYXQrGlxOy+TaHWScmwJW5wW0yPVWvZmLUf01T74wJHeztNIRt69JGGigBHKrK/oOFVcN8ZkwznaQqHXJou6P3+PGBn3R2rpg9g9GsEh8MmKBi2raeR7aQa7+Q5kr3cP4zj3//cZB2XFb4elQgX/tGwf88Tlmxo84CMlUN4ync0RlqwN5W8jpQVQ6AyUBGAiw2FfWpem2t1DYx3zcADDPS3D930SEAhhoaVuwOFdUE5rnKTK4Qh0qQaqVLPGmfNdCgcqfjSB0yFx5tZDoHLnI/8wRmc2C/gN5vcQrVBO7Q/voK/hJGXKV/MLAluC2GZ2vazrl0z28nBYr3AeKWNZdvrYvr5WCP5rE/VWrHnuhyd9TgXgNUHyFfmkjtjlE4PJuDB+4qDSTfOb75pb9mbjezSY9hz3fOrd/0rEtqhm93X7iqd8DrZu9ART0A5AMkJGTrku4KBALB/wI+107rtlg9eJYcnsnhxiEN6XWmezi9egtN8RFyLgWde25CHhmt02TweK3JBJMH7rtt6rUSxWITDQNdN3bu2nZ1TRgOhkiKmW3Ci3EzTbwKx5kYzled5ZhR+4pSR8bld6wIWLeoZ6Nc72k0Bsi+EL6ljpvsAXxWnU7zRSg8Y8KoWaOlKzhcz9tUHyJ7A1Yc1r+bXXQI4GE4xDCbUVYJ3+QkdGhleFfj8VB5fFehgYfwozAlCQkDQ1/Xq9kceEIczs/BngO31aDXfk3+H8S2sh63qHcMHKFD5lXK5HJjk4b0Ohu2hLfVxR3kMBn3qZUaaFYPXivAHp6AD3OnQvXxXP3hjkpL5jDkWVhDa+f2IzCZMDHh4b5Ls16hVCjRM8DQ9T9FtwUCgeCfyOfaad0WaY+XMZeEBBjGNNjRdA3MlqXj3imy2Qy6zjQ2GNPOnRH/0WAoKVitClYFprXMB04G1YiF6ovarHP/v21dQwZDsAasbGTcJB2/Rjouk3LKXL8sQCX0C/EWgIz1OMNlYMW+3cZ62EKuOiMNzGbziqDYzIEM+szJmmZjXpSZjO30nJj98ept5bWe4dUR/7p67K4ZmydMKhdlOdbcle11aMqgPwBrgNdOjtVAANuPEpVuErt9PNvRu8Dz2E/FiU3+zl2xRMh2jGIM6bXuKJV6gGdWaDoHei/Cv14qI5K8Tv6PLOvdtuV2kLWmoQO9+K9Y4i/76dB1HnfbV7KlLm4lh24K59EVGiCZXcQuYjyqoMk93QGv3d0TjVoYVSt0lGNSzkUN3zS3APSyfLE8Hn1ImB0+YpkcIXVzpPtQzxBJ/qCjyyhWK1ZF2WEFvL99gUAg+CfwzwxajfFLg64NGRoSZvM0xJBleZqHBi92M3VNB/kAMzBppjn73sOV+8nPgGXm7OvE7lpLeZ/TPLKFVMpBgZOz5x2dresad2gPZGy2TYfCGvV0nGvpG+WEE9PKTMA9fLmf2HQdfdChlI/zNWxwWwzMHTlvUw9byNXgQAZNW7UVqDHSQbbJcwHtosz0YYNCMkKQMrdJO2wt+/WYD3NcRG1IGOjDFoVklkjSyr/z3pU7ztuyrQ5NGdHr6Ch+x+uhmOWYkCNPvtImpQyotMwclt3PfTS5SWQOOYkn+fpLctoHqwePeT55REKWwezKcRl9mc0oycqr8gde6Oxu5dbLegFZRl5V7+MYlA26v1EX9e3lYItRvg1hGBq9WoFs8IiH8i1JuwmwEzpUuKpUuI8GuKv0sAZyLJ68bzG3MM3JPw+hAIY+oJZNkoxksTWTcykKKxjXiJ/9QD++5I+UmwMTTG9Gq3TWXbdD+1vcHgsEAsGn558ZtA4aNO7jqHPHh/1ShY7kIOeauiqH24V8VaXUjpGe3zUZN6k0NJRDFxZgNOihSS4CT0ET0O/SM3iRZyor6tocSG3LusZ3NVqSi4tVD5nNoTezJBsSx5eJtbuGeweWab6basdGk1/jNTqTwMz5bV/PZrlacHkUstdFagnnc04rMOlWuBuY8aQWB7UgM1WFZpFgq8UQO9IOsl+HZLZif0qctUO9QLA3YIiXdWmTm9hWhwAY3VEbmPG41rW4z2HIRTZd4fpgQMcaIrMUzRz489R9Ke4HOpJZ4WDfxEMpRPUperHidpj53rkHa4BNm2ibdHbXcutkvThUBw6rwXVfwxp2737zsFEXd5CDaR+Lug+oqHYz/buv3NUGJO3TcVhCIWw/SpQqBo2Bg/Dx0hxuNbcs5eSr2MIVrs56DB7Avi4PaNBlYCj4Au6nNcukR3sAbLAR27YvglaBQPDfwD8zaJU1SpEoJMJ4FBg0CmS/D7D9Xn7KbzN5EyQ8X0lGjjASMUIOBbQOlXyWqnTMRWwaLZitNsxGg1KljyOgwn2dbPIajd0Cp63qmowZDRvk8y2Ubze41npyg0GjhXJ8Scr9SqTZLZFpSbgdVswy6MMOpXwLrDFsph3qeWQLudqjKQ6rEeLBGFoihEuR0Ho1CtkrdF+OmHtxUPqwS78/DX+MYYPCnYbZ45ges36Q7A1tQLc/PTrWhzXyDR2zx7b+KHcLttOhMQ+jIXfJAj1blPO1W2qw5wvhScbJFgxsifPVQfVTkLXyS5zRGK6jJCcnBomoH5tsoA171Ctd7Lnnh5L+DNbJenF3XCUc83F9dkZQShANOFDQGPSa1JoHJArh9TcUG3VxGzk8UC8U0RQnNsWMhEavXqA6NONyz2nHwSEhR5Z0+ho8mbkc2d3mFmPEoN/HYLbTWexgWL9h2zQfVjtW6QeNUp2wzcuB0aeSTNPYNT9gh/bHzQRHySGhyxLh99zZCQQCwV/IPzNoVcLkElBMR8gPDCTFhi9VJhW2z+3oHBC6uMWcT5MvxAkOdTBbcXgSlC9C2Gfxm8md4iKhk8we8UtSQrF5iKYS6MH4TkfU29Q1uTvjS7yD1ZfhIrbq6f4lzMdkUu7XjyQlGNbynOWH6AZI8nR8l6mlgGBTPY9sI9d9L/nbMoV0lmL8hLQOsmLDE74gF3UvPQVv0Egf0XjqrxnHYY7LzOyJ+w+SvVaNc/SY1yiZsflSXKTesLv3gi10aHRN5EuWoe2Y8/Pw5rcAmDyEfBLVqoOQb5d3BsxhCXFZlkhnC2QjP9AM6f/f3h0CJQzFcRz/mZY0SaNRPNuSFI+iFFnS4iySIEnCBAkSJEiSsDAKZzJ5NhOJJmkkGqSZZsGmh2Vwnu7t/H76bru3t7vfu/f/vymVsZU9Lyv7ywcHbDPW+4WuHqyWGp2ObgYLhdae0odZOWU3ekGxyVyMHAdL1nKifn+g+SJQaO0plbHldIe6XVvA7Svv5lS7mchx81/fybbv1h+odPZZ8Ku07ajdqyiyyX+3oHZvqmqjqpODUFballOpqxJcqhF17Yb3/972FgaBgiDQcvteUwCIzc5qtVrF/RDbGNePdDkp6vmx/KOtX6xjXP/KUp57rFaqq5fOafRC4h+KYy7O7go682wNnxufTVoAALMk88grIKlmI3mTlC6KOQKrKd7H6nu+Mm6RwAoABktmeQCQMG+zsV7ncz22Olrk2iqTjuK3nGrsL+R7NY3kqHfFHgMAmIzQCvwB36vqehAqk6+r1yxs9FMJ/LLXO5Wun2TZjpr3TUX1KQIA4pW4mlYAAAD8P9S0AgAAwHiEVgAAABiP0AoAAADjEVoBAABgPEIrAAAAjPcBeXvNkgQf/nUAAAAASUVORK5CYII=" + } + }, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "##### 1.5\n", + "![image.png](attachment:image.png)" + ] + }, + { + "cell_type": "code", + "execution_count": 159, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "N = 512\n", + "\n", + "# Оси времени и частоты\n", + "t = np.linspace(0, N * T, N, endpoint = False)\n", + "f = fftpack.fftfreq(N) * fs\n", + "\n", + "# Генерация действительного и комплексного гармонического сигнала\n", + "x1_imm = Amp1 * np.exp(1j * (2 * np.pi * f01 * t + phi01))\n", + "x2_imm = Amp2 * np.exp(1j * (2 * np.pi * f02 * t + phi02))\n", + "\n", + "x_imm = x1_imm + x2_imm\n", + "\n", + "# Дискретное преобразование Фурье\n", + "X_imm = fftpack.fft(x_imm) / N\n", + "\n", + "\n", + "# Амплитудный и фазовый частотный спектры\n", + "A_imm = np.abs(X_imm);\n", + "P_imm = np.arctan(np.imag(X_imm) / (np.real(X_imm)+1e-6));\n", + "\n", + "# Отображение группами (subplot)\n", + "fig, axes = plt.subplots(nrows=3, ncols=1, figsize=(10, 6))\n", + "\n", + "x = X_imm\n", + "A = A_imm\n", + "P = P_imm\n", + "\n", + "Title = 'Complex signal'\n", + "axes[0].plot(t, np.real(x), label='real')\n", + "axes[0].plot(t, np.imag(x), label='imag')\n", + "axes[0].grid(True)\n", + "axes[0].set_xlabel('Time [s]')\n", + "axes[0].set_ylabel('Signal Amplitude')\n", + "axes[0].legend()\n", + "axes[0].title.set_text(Title)\n", + "axes[1].stem(f, A)\n", + "axes[1].grid(True)\n", + "axes[1].set_xlabel('Frequency [Hz]')\n", + "axes[1].set_ylabel('Spectrum Magnitude')\n", + "axes[1].set_xlim(-fs/2, fs/2)\n", + "axes[1].title.set_text('Amplitude spectrum')\n", + "axes[2].stem(f, P / np.pi)\n", + "axes[2].grid(True)\n", + "axes[2].set_xlabel('Frequency [Hz]')\n", + "axes[2].set_ylabel('Phase / pi')\n", + "axes[2].set_xlim(-fs/2, fs/2)\n", + "axes[2].title.set_text('Phase spectrum')\n", + "\n", + "fig.tight_layout()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## 2.3 Исследование ДПФ комплексной \"вырезки\" гармонического сигнала" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "math-env", + "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": "3.11.0" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +}