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bdatko/bayesian_network_multinomial.ipynb

Last active July 1, 2023 22:56
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Creating a multinomial with a discrete Bayesian network using pyAgrum
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bayesian_network_multinomial.ipynb
{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"id": "c3c68822-b6d6-4c61-bfd7-7892daa733dd",
"metadata": {
"tags": []
},
"outputs": [],
"source": [
"#!pip install watermark"
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "b61b9537-5aff-40ff-8703-095df496d9d7",
"metadata": {
"tags": []
},
"outputs": [],
"source": [
"%matplotlib inline\n",
"%reload_ext autoreload\n",
"%autoreload 2\n",
"%load_ext watermark"
]
},
{
"cell_type": "markdown",
"id": "8b231580-688a-4dfe-a4d8-024914e1fe0c",
"metadata": {
"tags": []
},
"source": [
"* this notebook was run in the Binder image provide by pyAgrum https://agrum.gitlab.io/extra/agrum_at_binder.html, click the Binder icon found on the bottom left corner of the agrum project home page\n",
"* the link for the binder image used for this notebook is https://agrum.gitlab.io/extra/agrum_at_binder.html"
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "dbd6ea0e-073f-405c-85d6-f27383471bc4",
"metadata": {
"tags": []
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Sat Jul 1 22:55:56 UTC 2023\n"
]
}
],
"source": [
"!date"
]
},
{
"attachments": {
"7cac341f-aa49-453d-8170-ed5f8c385839.png": {
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t71d7Wb3o/0nDLo1kfhdn+//Hqt9frPoNkrcHzZVnyurLhKovRaSu6KOvDty0R73tul70cnV/td4P71vi4XdHy8o3hstxjRuL2lH/ftPhcvbzJ8lF7ZtJqx59pX/v9tLUsu48WnyAlG4dLN1bHCpt+/aVQV2PjHpHLbW+72UnfiTlUUoA3/aN1rPN5frmi+WzUR/Irw6/UVrbfdf6aA/r8p7CY/u6u6X7EJHpjzSSkpbTpadpiYbwulzksRhizVyAiF6CMspjFWJNzPoao87GR63v+/XSfPFnVpmT7OKzheBc6eOwIiM12wp72koZ9Y+l0mam9Z4s7yll/RrK+g9FWp33G7n210fLT7avk7u7nCjjviuWwcdtkm9O+709t+EUJgyzANbR7wQKSzhttF6mx10sn9/2D8vEHe2xvv3zWdKn1RBpZLk5/e6fJ1kuLr+Wv79+u5wkn8hjg9rLoP9MlH8svdojP3e/NzvL51sC27G6eKZMP2Cs5XpnubDEHZ8/ttypjpHhUlbTr20RYbmTOATF3tc2kF475luT3GKpb6zs9iy3VsaXXCefWt+Lb7EgsbC/vP/GiJp9KLYL2b1ywkvz5dS//EYuWdhRFrwzQf434AAZ29qa0Fuiruay3GOtiff6Cf+zJkyWocyaXF3RCJPz9kndvj5+sIt0fPcW+XJaj6gJmDnh+dAonzXbtxZGLrAtWM3gFjW2taz81GIVs7zTZedwy3JjC4Wq5WlbkFXXtSat7jI/Zvm72nWpqS/cg8+RHfN3y00fmy5qVRM9TFzniiFC7ZXjzfLY99NlW5+adDApTSwsq/L5aobF84BR0qDXDpkPN6b6VYLKnvz2LJfWbZbIdXAD+xYTtYVVVp2jjLLYVa56ZmF/uDaJVeVqd87u82usIWJNCg+4Qhqh/PvGsoChPL2sele5kdZ4BXSVxyPczCXzKuvpbz78lVzSabMs/dMSOfwPcE1qZs2Rrbqvt/oRrAO2BwGwlcl3Buea9M+RZ7W+sEyAZywWo1vJixBzD+8jRWWL5c9X60LCHOltT7BrhOWMs2vacG5xTb+98b02kXJZjR4Rtl1T6GNnR6peLXiP6S+tnpon+8+uthLY380KufudMbJjXLGM3jhOXr/3S/mVWqMM/mV1LYHd6xU5D4sEfaxJdLw6n/NsTZsLFk1mygX2RN2s35713vyYZQWpM7ia+1yx6zesedUCivGN3vLVVyIHHSR1Pn9SBre/vHrc/ZlUfrVV9jmosex6a4KcdvL90jlKSIDnWDn8VadrYpWL3cmWkH9stbV3813wWCk32/3VEhMR63K1O6e9CDRZzlz5qWVxh+ay6tHhdmn3vHW/tRB0eOePZLLp+rvOWkQdtLc8ab6/7Lr80+7vk890vq8c5bEUSez6Vs8zbCFzskxp85isnlGcXMDY3/uvZIbTkmTPYazFrhtfs8R0M1lo9fmr9p4vX87pI/U+ul/ObT9GDrO+Y3/qsE4ev/sWWWhZJ1e8+j+5ZP5qmVFM2eTbcZsFCxWBwhFO1S+uhRessP2m99xdUDOhsFfspvescfWLDM558LEPVXdiZbMnENtFJTrdaj//cT+VGZYVqW/1ePoZLBfV/X6/iBWjWJ4zJ54R16EFsveQBjL44Cp/fYiUi+s5XFDswf99GW5t0h54XCtpdvhB1vfOFEjGRNme6Ogkteqe8mvgZvN1bLevSIU+lge7nClflX0opR3MWhoWF2vmZIuoavGDFW21eGGVODIJj1leQ2hUb5SKmdb4T6VLzPJvNQShVV+jnkfdZQiySgiPsdLamuhdtqLG1bimHdrKlGrBNbe4atX+ir3hhndibIuNLQKrVuSvftN0Xa7hv2DvIdJg8MF7Wgz3cHsyhdTSSHuM/7RLzd4ku1+UyzXWxPuKlTFcKx1pRsTPgr1lSIMR0lInuNqEsDb1+I8VWMDyDKhftWfqDmuvz6d3HBUlRO0+O+NcS7B3lrmGAEMbn731UcslameNILVEYLQbt9EXe38mk8/qKjcuby33fvSK2Ftd7P5gCU4sJJjlt128q/eUNdN2e1GaXHe0tZ+2ynXMrl/5NbY435q0j5n9Vi0lm2XQS83kzHW3yUfWvr2dEPuTj5Qps0dJ8VFHSNOfNZZPzL1hBv+xx2+33OiulXMvf1T2nbhaZu+83HBdN+q87/CI+ImyvH5ifBfFcIGLqvdiGXLcAPnXtaXSaOZo+ajkdXn1t/E3EprfmZra7vndEnwPWq6S4VEizHpfTe4uXR/qIAuXTxE7/oNjTLZ5vzCiZuEmSni8a1tGb9kOEX6QyIalYulwOWN8mTw87hyBo3A8t0KrE9QsQEQsYDHK43hxR9XXmntM7t5VHuqwUJZP6WGLptV3dZYLa6JmVD19Vpm8Ux1Mxd73N/nMqgUdTdsSTVd1uFY+u7la2FcvaNiLIPa7SXnOltPvuVrW2AvEP7MtvZ2nW/u6HcI2+7GGKZAACWRCoDCEky2aulpuKkvlhdGWaNr4lry1tb20b2GEXLVX6uHCYq2I7jsqajO6OaFMsMc8E358hgRcJhA90G+v/EK+liZRm9vhstLlxHvkl/PfsVb/q6JTvfXaf+Vf87rIudUudLag+GjyHhPz1aWt5JQVoywrVWeZZ/nZL7nOsgIMqLA3K78ANy0zCkPEWmIEdTAEQpTByZyYHrFAeje8WGrDv//E2TWT1JZfyadb95HDzaAK6s71YalE6aaoCc9/7FXjqkntfoYFq1m0NShWeavTgYWoyuBUtQK9R1rFz9XssTDL331hRBDZ9TUm4/saAm7rvF5y6LDDZLEVtOZ7y8J3jmXhg4WrRuTVibg6zu35lozvYE0iL0sgLG0LRdWK/EUvG0IGvE5ZYbv5dJ6nFsMBUjH6SDn1hSrXyGNNwWBX2ZhIG5Pn4udqBNkRC3pLw4tr2xvoG4+K4VoZFcBitZS2OkVWjLImdl0WWdyekyFRwQ+qrE0PnP6PyGZ9O7rdVzMsK1MruScikHbYm+3v6PSmfDj8vRrO7bB5/gz58G7LWtNutiHIRex3ue6XUxZv3y+brjhb1v/+z3LSpA4y+QwrPUuFRwWtMJmY7p0ISmBbfSbIv7pVW/JGHyELejeUi2tD2Ha3rQIRi2PMPma8AkxLyVa04WIZ9uaHcumKGiupBvowRaDJX7eV2VaY29rLkiHPyRnOOlvtf1p5jcWzRqBbgUTMusart7XPZnL3UbJr6p/kshZNkwTPQHt3tNq7ymIYuexgNkPlsMXV7nb4YA+XOWvf4E29pN9HQ+T5OX3lyF3VwTrWYIyuto5LVfpLRnwU6S92293WuVosbJGvPv2vFVuu6npn0ony6w/GyXuP9Jejq98lcd0Dq92XO6tLIPYxxipPVPAQo77nV8hNvfrJR0Oelzl9j5RdX30hO/azAlAl8dSz+/vHZbY13xZ2VsCLS8+aLsfPfUpKu+wvlV98K/V+VkeetvrWnSdpAIkqnoc8cIO8NnhBZL+X3Q90gcTl0YbJkQAJpE/Ah8Jpiyy//pdy2qKL5OX37pOin1gRrU45Sa77rKP07/kLqWe9+P7++Bo5d8mnMujNU6TlDTuk5A/XSqMnfi8zmj1YbUa3wpVe1UGu/ewquf1SkSd+P0OaPUhTd/rdg094TWDLK6OlzamTpNUfP5PywVusfRFHy/Vyn+FCVzWoj9/rSiuc7a/kQKuAGx4fKuWnPy1XPNklEgnNXjF97jj53ezlMmKntXdh8GYZVXqAzBz7nly9YqmMON7a82SlM+2g86R9o63y3zeXSOWRJTL+sclyuXrBVmJVuo8sO2WcXNniLfnwF2Nlao+V9t4EufJyOeyoi2Tq6CKpiiWxwgq+UCSPtOwuLRt+L9uWvCabu1srwqX/kyu7TpEfL71Pfr/PNTLo0b5R+6gw4Rl3lDMaluU2E8VhnVwbsdZU5TOr4aVy35K7ZPtVh8uNcqVcfthRctFtrWXeKY7ynvKSYUlCOU03JjOta+SdTjHK/0B9KT2mpr53NCuTwy97QVqMeEpWDXhbfnXyQuly9znyjwn6jvnGEGYHyMNn/VQGrekkExY9LE3vaCdDK06UUxrvJd9+sVw+2n+wPPRYd3ni+EvllU4TZNELN0rX6mjkUZHZbPeewbJ5VKkcMHOsvHc19swcb+3zaSUdpx0k57VvJFv/+6YsqTxSSsY/Jtf85+LoKHfm5Bkb94tmSUOrPZZc8450KnpEWnZvKQ2/3yZLXtss3csekCte/pUMfAVlfkFu1AJZ793yfsfJ4M2jpPSAmTL2vatlxdIRcvxzlqvdwP2jVsOr2m6xXBnZ37Hd2oNnCbt5l8jfVh0vkw69Qv47eqFc9t/f16RjC5hHpMuUW+UXfzXe5U4RGIPFrZ+fIWe8dIMtGn8KATt0lXS6bp7caoVZKbrraznj/tflgW19I0yiRIZt+XhOjvvdbJloRX779SMtpXvLhvL9tiXy2ubuUvbwA1K/9JjEfexKPebCCsIyq4+0uvIjuXH1armlfdV3bIoVGe69m7+UXifdKj9efYNc8N1b8l3vMrmt/t1WWzj4j/u1bLl1rjSdcJ+0e/lWefHcv8irvT+M2f4vYXJeLdBXjDxYimY1lEvvWyLT698g+1f30UXNbrL2HVZFPDzg4bPkp4PWSKcJi+Qvl66Xi1uPltV19pf9928mbfqPkfvHF0uL6hfexw9YY+u4JjLhjxfI9tm3Wu6nv5Nnnrxa/l3SUM5a2V9m/f5Yef3WUnm1x2PyohWoJOJEBqFy4TaZaUfis/aDDTlOej3dXHqfd6zsLZvl/cWr5NRFH8od7bAYeoY8d+bdctHGO2v6gR2e+3OZ1aeVXLlmaPUcwHgLb/mHTDrrWBnd8GH593MDq/K1F00fkJM/cgRYsPabVbXHGhn68ntyX9GOuOWx5xLO+s5oJtM79pKnm/eW847dW2Tz+7J41amy6EPDihRrgNhiCf82p8qkVn+Uz8oHy2EfPiCnnDRWKk/rJV1+Ws9a5/q7PC6jrc8sn+bFQ+S4Af+U/nf3kx1/KpEnfjnHmsO0koXWnOfWhjfI3YN/In8uKZMdtz4vf0UwF14kQAJ5J+A/4YQwqhu/s84usIKL74uVsF1Rq01VxPaWA223Ifglfyr/tZaiqu6NXgaq+qw6RLlvTmTMe5uzAL4lsN1aidwo31V1ftudx/pDtMXJ+H7UVAN9HGfGbJSt+1R9D2Cp2rhr/4h1J9Z3wb7nu3r2d8n6klnPHi57RtiuWu21bop85kw7Ug4r9HPVrfvIVus/OyLf32+kDo4JsFaboyxOcSc8Nd9r2ftAqw4oXk0ZUJdv6lR/320eu2T/6vcBzn+JKq/9ubUnA/nb74Doz6PSill+B0uk97VIE6tt7DmezfAHq5jKp6oNY7ZDpCxVbfVdPdStjn3/rv2j2duuSytviqxYWy86i+226PdcdV+oh7ylhq1dJsuyh/5TVWVtF7wzUf/q9rA+tPuFJb8P32erlf4O+ziHfbZG952afla98l/dN+2T9CzLQJu/jZQvn7okEs1M38k1TNRiYPXTimnSputyuW61dYRE06o+jnRsoTjsIHny7XHS0W7zamfsqLJXl8TBItoqi7ys9kZ/wH3VFk6TCb5TET5R/aemb+yz1eKyo7p8yfpYzRcgMlbpeFTVP6T6mAxnX0zA3+pTUWNajPaPtB1Y4fNv6lTxNPporLrK+nFy0oCd8qcNM+RXePSTaXJhi1lyVvV+o6rq1LyLosfWGutPTfuaL1S4Et4gP30Z7pLG+yxyS83Yrd/FbUZ/sm+rrqs90hvvHbtU1d+3yNEj1nEM6yacJL22xAqkY1iq7D5V9V2z3697lCdGfWO9a82+GWcc2aOMeO9hkmJcsdq26l2nmxBqyhObc5zM+WcSIIGcE/CfcMp5lZkBCZCAHwhUWtaBZgv6yGfGpNsP5cpnGVbc/HM577lj5KT/firtZiy3wkZ7eWE9ItQAACAASURBVGxqGjVfeau0v/Rvst/PNspp974hpQlC5tekul3+3/2ny1EjDpX5mxdKn8hG1S3yf1c1s848Gi6rV98i7bnIlUZDpH/r9qUjpeV5z0rPu2+XngdvlvWP3SOvdn1c/mpZMd1A/7HlTtnpqb7yt+evzPGBx5/Ly6Mulis/q3YDdKPw6ePkEyRAAiEjQOEUsgZndUnALwSirD1+KVS+y2GvtldZfpLto8hvUatW86usiqnOWGssAFEr7sbKPlfXPWrVCPNceGRY1pLKXdK4sUsHRCdAsqWyUupYIdRT7YEe0WU2JEACASZA4RTgxmXVSIAESIAESIAESIAESIAE3CFA4eQOR6ZCAiRAAiRAAiRAAiRAAiQQYAIUTgFuXFaNBEiABEiABEiABEiABEjAHQIUTu5wZCokQAIkQAIkQAIkQAIkQAIBJkDhFODGZdVIgARIgARIgARIgARIgATcIUDh5A5HpkICJEACJEACJEACJEACJBBgAhROAW5cVo0ESIAESIAESIAESIAESMAdAhRO7nBkKiRAAiRAAiRAAiRAAiRAAgEmQOEU4MZl1UiABEiABEiABEiABEiABNwhQOHkDkemQgIkQAIkQAIkQAIkQAIkEGACFE4BblxWjQRIgARIgARIgARIgARIwB0CFE7ucGQqJEACJEACJEACJEACJEACASZA4RTgxmXVSIAESIAESIAESIAESIAE3CFA4eQOR6ZCAiRAAiRAAiRAAiRAAiQQYAIUTgFuXFaNBEiABEiABEiABEiABEjAHQIUTu5wZCokQAIkQAIkQAIkQAIkQAIBJkDhFODGZdVIgARIgARIgARIgARIgATcIUDh5A5HpkICJEACJEACJEACJEACJBBgAhROAW5cVo0ESIAESIAESIAESIAESMAdAhRO7nBkKiRAAiRAAiRAAiRAAiRAAgEmQOEU4MZl1UiABEiABEiABEiABEiABNwhQOHkDkemQgIkQAIkQAIkQAIkQAIkEGACFE4BblxWjQRIIFwE3n77bfnmm2+kbdu2sv/++0cqj79/8skncv755+ccyDPPPONJPjmvCDMgARIgARIgAQcBCid2CRIgARKIQeD++++XOXPm2CIAogOCZNasWRFBMn78eGnevLkMGDAg5/xQFlwlJSUJ80I5W7RoIRs2bJAjjjjCvnf27NlSXl4ukydPtv+GelxwwQX2zzVr1kTuKSsrk6effjrynDMj1FdF0csvvyynnXaa3HLLLXuUByJtxIgRdlqmeMs5pABlgHYERzD2giH6AvKE4M72Qlr4p/0v2/T4PAmQAAn4iQCFk59ag2UhARLwDQGIAwgAFRf4Py4IEFyY2GJS68UEMdW8cN/AgQMjZcZkGL87RQz+hvotW7bMLj+eg0jUusVqBBVgSAtX48aN7Xxi1V/FE9IP8gUm6BcQ1Cqwu3XrJsOHD08qcsEF7YB7TcECkQymy5cvl+LiYls85fJyCmvtCxA/6N+J+gTKhX6EekCs64U6VFRUJH02l/Vi2iRAAiSQCwIUTrmgyjRJgAQKnoBz8ofJISa0sLLA8oKJrVpcYK0pKiqyJ8D4f5s2baLc1TC5xIQUl1qNkAaEDSxWeAYX0sO9Ztr4HRYjfKbWB01v06ZN0qhRIzsNfIZJMJ7FRB4XrESartkgsDihLrCYoTx4Ds8ncuUz64+0YNlS4RWrsSEgUA4vhGW+OptTqKbCxSwr2tF0q1Sh65XgRPnR9yCOtG+Z7Yo27N+/f1yrqvav0tJS2b17d1Qz4Puzdu3aSF/MVxsxXxIgARJwkwCFk5s0mRYJkEBgCKi4gCDCBBAXrAOYYJoTZgggXLDYwEIAoYBnKysr7b+rAIPwwSQVQkctDBAjED14Ds8gfVgY1BKBzzCZbteuXSQ9TLbVOqRWMV3tx3Mor7oPIk1MfE1BpBYF/B0TY5QTz6F8iUQOJtSYYCOtVCbFsMSoMAtMp3BUBBwgVNUKZ/YLWGxURKNN8X/TtdPpfqkiBm0KxqZQRloQtxDK6CvoP7gfghq/43OUA22K/qKumabo1vtxj/Y/Z//APfib9icII/xN6xerHZE3rI9O4YR70W/VYhvUPsB6kQAJhIsAhVO42pu1JQESSJEAhAIsJjoBNlfeMYmFmFI3JvwOMYMJploNMGHEszp5dFqEVBBhkorPND9Mss0JLSa/uv9IJ6MoFya/EG2aLz5zWoFiWYVQVlwQV/o58ks0wUU9cK8KMhUAKiJj7Y1JRVyl2BS+vc1phVNLJPoF/g8+uAe/gxEYQqjGsg6ikmgHCCEIJ7UAoZ/g77r/TPewaR/E53gG/fHCCy+UXbt22e6D6K/oS2oVgiiHoMKl/dbZP1Bm3G/ufUP/SmQBSySctD5e7AP0bSdhwUiABAJFgMIpUM3JypAACbhBwLny7pxQYjKsE1zkh9/hnge3N9PFD89B9OjEE5NSTDR1Ym2KLVO8QGzhGUyekR4sDbBAOK1PmCAjX0xMVdyopQvlgiUA6ZjCxrQu4XkVP4msCs79XsoYZUP9MNF2BjFwug260S5+S8O0wqFsZnvgd93/o0JEhZP2GdM6iL/FErpOd0vcg7ZCm6ItY+1Dcopw3Iv+4+xLsDiae5PcFk7av2IFEfFbW7I8JEACJJAKAQqnVCjxHhIggVARcAZCcLosQdhowAVMXPV3ddNT9zjTIgRho/t+MJE1J8Tmfc6odGp9gvUAwknd69QtTK0Z+B1pmoEgTPc/bUDTfUqj8GGPik5u8TfUyRRC8Tb7o06YvJvRBjWfePurgtSRatWqFbEgoV7OfV1OEZ3IOhhL+KqYUhdJte5o1ERTRClX7SMqiEwxZvaHWPmhH6I9TTfTZPuUElmcGCQiSL2ddSEBEgABCif2AxIgARIwCJjhuiGAEB0Mk1FTHEB8QPxo1DOnJQFpqDUB90KUYAJq7vnR6GtwyzJFhlopdJ+LWhU0PeSFz5AW9rVA4KAc6hZm7o+BAERZNCAF0tY9LGYwAJ2YA4NpFcPvygOiUINOmB0G6cUSTqgf6p3rqHD56rxO4RErsIPpcukMXw9roGkdRNvgHqdbHPqPumaae6riCS2nCDejLJp5xnpeRZC6E5rljxfZUcV3rD1Ozj13+Wor5ksCJEACbhGgcHKLJNMhARIIDAFMBvVyWl/07xquWcWF88BZ0z0ulhUHz+PS58z0nPfjdzNwAyaxmr75mfM5nRzrPiotq5mvs/xOd7N4zyiHWMIpLOHINUQ93CXNs7KUjWntwb16NhP2G+EzCFoN9hDPOqN7xSCczTziCa14lkxzn5oGiIgVDl3360Hw4hkNUhHL7U73dKGMqIsZeAIMkkVeDMwLgxUhARIIDQEKp9A0NStKAiQQRgI6wU4lNDgmypgMp7OZ3ymczKh/Xhze6oc2dQrbWOIafzMFr1M4x4qAaNYtVh6m2DbvjSfqnXlqW8WyJJplRdoQWRpwwpmX+bu2eVjEsx/6H8tAAiTgHQEKJ+9YMycSIAESyBsBTJLddpuDyIILovMsKTMqXN4qXEAZ6/43DQjiZdFTCRufrqBW0ZSKWPeyrsyLBEiABLIlQOGULUE+TwIkQAIkQAIZEoAogXhJdo5Whsmn9JieRZboAOSUErJuQn3g7qeHMqf6HO8jARIggUIgQOFUCK3EMpIACQSOACaYsAIhwANW6PE73LHwE/uZ8E/3VznDVgcOBitktzv6AfoD+gV+N/+hP2BfG/oE9lRB5CQ6sJhISYAESIAE3CdA4eQ+U6ZIAiRAAjEJ6Go8wlLj/5gIQxTphFjFEgSUiij8RFAATKYxWUYwgXT2ILEp/EtAxRL6A9oX7Q93SvQJFc36E/1ABTbEFaxE6De4H3uPKKL8284sGQmQQHAIUDgFpy1ZExIgAZ8SwAQZB8XChQmTXURVU7GUTpExWVYRBdcuCqh06PnrXj1UGMJIz/1KN5iG7jHDOVyIaoew8rxIgARIgARyR4DCKXdsmTIJkAAJ2JYEDeWsh9Vmi0U330OQIU23gz5kWz4+H5+Ath3ugIB2a18R+hiEOQIyUFCzB5IACZBAbghQOOWGK1MlARIgAVswQTjpAaZuI4HFAWGiYX3SQ27dzoPpuUdADzeGYMpF8ASIMvQHuO09/fTT7hWcKZEACZAACdgEKJzYEUiABEjAZQKwBGECi5+YwKbrgpVOcbD3BWcAwepEV610yHl7Lw6Jhbsm2sgNK1Oi0qPvQUTlI7y5t1SZGwmQAAl4S4DCyVvezI0ESCDgBFQ0YdUflqBciiYTJcQT8sZkmZe/CKjlESLaqyAO48ePF4i1DRs2eNYH/UWdpSEBEiAB9wlQOLnPlCmSAAmEmABW+yGW8mH96datmx10Ih95h7jJE1Yd4gVR8/Jh/dG816xZw+YhARIgARJwgQCFkwsQmQQJkAAJgEA+J8nIHxYniCfdQ8NWyS8BuMvBEghLEwRtPi7kj4t7nvJBn3mSAAkEjQCFU9BalPUhARLICwEEaoBLFlb3vXLPi1VR7Hlq0aKF7aLllVtYXoD7PFOI2Hbt2nmypykZCpQDbqO53luVrBz8nARIgAQKnQCFU6G3IMtPAiTgCwKw9OA8Hj+EgkZYapz3RCtD/roG9hhpuPj8laIqZ4hpiKfKysp8F4X5kwAJkEBBE6BwKujmY+FJgAT8QADWJkRM81NgBlid8uki5od2yVcZIFQgpNEf/GL10zDlsDzxIgESIAESyIwAhVNm3PgUCZAACdgEdF+R3w6ihZiD1YOBAbzvqHrgsZ9ECvopxDT6g1/EnPctwxxJgARIIDsCFE7Z8ePTJEACIScAgYKoaX50i8NE2U9WjzB0Fd3blO+9brFYQ9A1b96chyWHoSOyjiRAAjkhQOGUE6xMlARIICwEELWsqKgorckooq3hX7z9UNijhChs2UZi86PlI+j9IhMhDde+l19+eQ80sAzhYGO3LuSB/sq9Tm4RZTokQAJhI0DhFLYWZ31JgARcJZCJVQeCBqHLIZxmzZq1R3lq1aplR2MrKSnJqqwMCpAVvowehjBBkJB0IthB0GBPVLwLfcStoCOZ9NeMQPAhEiABEgggAQqnADYqq0QCJOANgUz3EalwQinhSue0KrglnJA+J8re9AXkkuk+IhVOzr6A9CDE8Llb4eURJKJNmzZZi3LvqDInEiABEvAPAQon/7QFS0ICJFBgBGA1qqiosK1D6VwQThBdOO8JViGn65SbwgkTZbgSpmqxwGQdroIQc9m6CqbDJAj3wv0SvNMNyBFPOKkYa9y4sSsWSKSXiSthENqGdSABEiABNwhQOLlBkWmQAAmEkkC6okQhqXCChQEWIafLnpvCKZWAACqWEOQCQg6/I9hFOu5moewAjkpDACGSYbph6RMJJ4gxnMHkVntQOLGnkgAJkEDmBCicMmfHJ0mABEJOIJP9LECmwgnuV+q2Z7ppuSmcMJHH5QyNHUssmc3p1kQ9TF0Elrrly5fH3LeWiEMs4YT2gYhF++Fzt8KI6xlT6Hu8SIAESIAE0iNA4ZQeL95NAiRAAhEC2NAPQZJu5DNTOCExWBRMl71YwgmfZ3L+jmlhSCaWKJyy69yZum6awSHgvqkX2gu/wxXU6WqZaX/QfViMrJddW/NpEiCBcBKgcApnu7PWJEACLhCA4EHEs3T3AjmFEybBcNmDaxwsPU7hhAl5eXl52i5gqCIm5aNGjZJdu3ZF3PBSqTrK06hRo1Ru5T3VBL744gvp06ePPPDAA2kxUeGEKIo4Z0kvDUlviil8Bvc9iHZYjZyfpZIx+tfu3btTuZX3kAAJkAAJGAQonNgdSIAESCBDAm5ZnJA9XLJKS0ttcYR0NRy5iixYm9LdO4N01X0M6eH/EGCxzgxyIrjvvvsShsjOEFmgH3vooYdsITNx4sS06ploj5MzIbRhWVmZLZ5gNUpXONFVL62m4c0kQAIkEEWAwokdggRIgAQyJJBK4IVYSTstTnqPuuzBnUqFE6xNcAXEM5kIp1juY+qyl0hEcY9T+p0i08AL6QgnCCaIaPQV7HtKVzhlGvkvfRp8ggRIgASCR4DCKXhtyhqRAAl4RCBe4IVk2ccTTuqyh+fNA3Ax2c1UOCWL/BdPRFE4JWvFPT/PRVS9eKWAK2UmwinTABbp0+ATJEACJBA8AhROwWtT1ogESMAjAplaGOIJJxRbXfbcEk7pRP4zRdTw4cMZjjzNfpRp4IV0LE5apEyFU6YBLNJEwdtJgARIIJAEKJwC2aysFAmQgBcEMp0oo2waMS1WOfEZLnXDytTihHQydenygl8Q84CggUtluhEQnW2ejE2mwqlTp05y8cUX2xZMXiRAAiRAAukRoHBKjxfvJgESIIEoAplOlNPBmKlwytQilk7ZeG80gUz3vaXLMRPhBHHWrFkz2bx5c5QraLp5834SIAESCCsBCqewtjzrTQIkkBUBiBkEV1i9erV06NBhjwNms0rc8TAmvMgv3fOi4KZXXFy8xxlAbpaNaUUT0FDhuT4nCe596fYHjaoIN1D0DVjFsJeNFwmQAAmQQGoEKJxS48S7SIAESMA+B2nOnDkCS44KGUxGcd5OrifK6eJXN71M3MbSzYv3RxOANQiCJN3zvXLNEWHuzb1rsI5BgGVyFlmuy8r0SYAESMCPBCic/NgqLBMJkIBvCGjABAgmiCW9sP8IogSTY6ze4+ctt9zim3JjUowy+qlMvoGT44LoWUuIeueXC2If5z85Q9qjrIi8CPE0YMAAvxSX5SABEiABXxKgcPJls7BQJEAC+SQAsaQTTViZdOO+WSYcVquiRINEYKKcblCAXNRTDznNJFx1LsoTxjRhdYJL3Pnnn5/36qN/6qHKsdz79GwnfIYy8yIBEiABEohNgMKJPYMESIAEDAKwHsF9KZZY0tswwYQrlnn4KFbt8Ywf9oz40QIWtk4G4Q2r34YNG/JedYQgX758edK+iT4MEYU+7IcFgLyDYwFIgARIwEGAwoldggRIgAQMApjsYqIZ7zJd9Mx7dE9Rvq0MKDvcCuGSZQo7NrL3BCBgceVTTEMIoRyp7rlC/8F3gAcge99fmCMJkID/CVA4+b+NWEISIAGPCcCtCVanWJd5MK3zc7jIaZjofAQG0L01tBh43GESZIdztBCQIR/7h9AfIZrgUpqOy6CKLTxD1z3/9CWWhARIIP8EKJzy3wYsAQmQgM8IVFRUSOvWre3zbswLLnrOzfXOokNwYbLq9X4nnexik3+6Yap9hj9QxdH9bxCzXrYL8tVw9CUlJWkzxfNw3YP4ovUybXx8gARIIKAEKJwC2rCsFgmQQGYEVIB07NhRFi1aFEkknoterFxg+VF3Jy8my7qfBpaFfFg2MiMdnqf0bCe0TyYiJl1SblqMxo8fb7uuei380q0z7ycBEiABLwhQOHlBmXmQAAkUBAEIHkwUVYBoqGYUPpGLXqzKwfKkkcxyOVlGeVFOWpr83cU0sl2uI9eh38FS5KaIVuGHfszw9v7uZywdCZBAbglQOOWWL1MnARIoAAKY1EKAxDoMNJsN/rrHBBHKILzcjFSGsqLMuCCa3Ey7AJqsYIuI/oR+4fa+J+3DsD7mIkCJuv4BvDOiZME2BgtOAiRAAmkSoHBKExhvJwESCBYBrKbrYbEQIM5IdJgw4l82wkQjlWHFHhPmbNJCeRE1D1YmtSowel5h9Ul1rUS7ZRvIwxRMcNNE/8plf8B3BX1PD38uLPIsLQmQAAlkR4DCKTt+fJoESKCACahbEyabuXSnU0SwEOHgXEQrKyoqsn+mIqIglsrLy+1DeTFRVmtFLifIBdysBVN0COqysjK7DyAKY//+/e2fyS70AfRdCGj0DTzjtkUzURm8ckNNxoGfkwAJkIDXBCicvCbO/EiABPJOINduTckqCAGkQgjiBxNf/FQRpVYuuHTh//gJawIm1riHgikZ4cL6HEIEB9SiX6CtNaCIKaLQDyCStG/gs+LiYlt856M/mG6o+TynqrBamqUlARIodAIUToXegiw/CZBAWgQ0zDJ++mFvECagOiFGGHRcjRo1iggpFVZpVZI3FywBtSahAmvXro3UA33CFNj5EEuxoMJ1L9bewIJtABacBEiABBIQoHBi9yABEggNAXXN82IvSGigsqKhJ6DRJ9ONPBl6cARAAiRQcAQonAquyVhgEiCBTAjofpJcRBzLpDx8hgSCRABWU4RBz3W49SAxY11IgAQKjwCFU+G1GUtMAiSQBgG4PsGdCBO7bCOYpZEtbyWBUBKAeOJ3LZRNz0qTQCgIUDiFoplZSRIIJwFM4HBuDjbQI3S3X/aFhLM1WOuwENDw+1iowHePFwmQAAkEhQCFU1BakvUgARKIIoB9Fwj/rWcdEQ8JkIB3BMxFC7jH8iIBEiCBIBCgcApCK7IOJEACEQIaapyRvtgpSCC/BDSCJSJH0k02v23B3EmABNwhQOHkDkemQgIk4AMCWOWGlQkTNkzU6Jrng0ZhEUJPAN9JuO/hO6lnVIUeCgGQAAkUJAEKp4JsNhaaBEjASUBDjQ8fPlxKSkoIiARIwEcEsKjRrVs3+7sJ91leJEACJFCIBCicCrHVWGYSIIEIAXXNe+aZZ4ShxtkxSMC/BPBdRbAWXLQI+7edWDISIIH4BCic2DtIgAQKloDuocDPWbNmyRFHHFGwdWHBSSAsBNR1b9myZdK2bduwVJv1JAESCAABCqcANCKrQAJhJKCueQw1HsbWZ50LnQC+v3Ddg5WYrrWF3posPwmEhwCFU3jamjUlgcAQwEbzsrIyuuYFpkVZkTASgKUY4glBXGB94kUCJEACfidA4eT3FmL5SIAEIgQw0RoxYoRgoznDG7NjkEAwCOA7zeMDgtGWrAUJBJ0AhVPQW5j1I4GAEIBYGjhwoB3OGFG5GGo8IA3LapCARQDBXRA4gq577A4kQAJ+JkDh5OfWYdlIgARsArNnz7bPZ4JgGjBgAKmQAAkEkIC5OAIBxYsESIAE/EaAwslvLcLykAAJRAhoqPEwufGgrp988okdbYwRx8L9ZUBfGDVqlOy9997Sq1ev0ARRgGWZ7rjh7vusPQn4lQCFk19bhuUigZATgHjA3geIpzCc+YJ6nnfeebJu3TqpVauW7Ny5U/r16yfTpk0LeU8IZ/XvvPNOueuuu2T79u2ye/duqVu3rnTs2FGWLl0aCiAIAIPvP777iJzJiwRIgAT8QIDCyQ+twDKQAAlEEdBQ48OHDw/NKvugQYNkwYIFURx27dolTzzxBCeOIft+QET//Oc/lx07dtgiWi8IqPXr14fmvDJYnbDvCcKJrnsh+xKwuiTgUwIUTj5tGBaLBMJIQF3zsFEcE6UwrTQ3adJEtm3bJnvttVek6SGcunbtKs8//3wYu0No6wzBgDDdaH/zqlOnjv29CNM+Pz3kGhZoRtIM7VeCFScB3xCgcPJNU7AgJBBuAjpBws9Zs2aFZlVdW71p06ayefPmKOEEd73LL79cZs6cGe7OEbLa4ztwyCGHCISSaXHaZ5995KGHHgrVgoI2PVz3ECAG74YwLaiErOuzuiTgewIUTr5vIhaQBIJPQF3zMCEKa6jxG2+8UaZOnRqZKP/4449Sr149e5UdIdh5hYvA0KFDZe7cuYJ+oOKpQ4cOsmLFinCBMGqrlriSkhL7PcGLBEiABLwmQOHkNXHmRwIkEEUAK8llZWWhc82L1Q0wWZ4+fbp9RlXt2rXlhhtukDFjxrDHhJQAvhsPP/yw7cKJPXDXXHNN6M8vgzUO+57wc9myZaHnEdKvBqtNAnkjQOGUN/TMmATCTQATH0TNYtjhPfsBmBxxxBGcFIb7K8LaJyAAtz0IS4gnhu1nVyEBEvCKAIWTV6SZDwmQQISAedBlWF3z2B1IgASyIwAXX1if8A6B+x4vEiABEsg1AQqnXBNm+iRAAlEEZs+ebW/yDlOocXYBEiCB3BCA5RoRCOHeCusTLxIgARLIJQEKp1zSZdokQAIRAhpqHKvEiIxF9xp2DhIgAbcIwO2X7xa3aDIdEiCBeAQonNg3SIAEck4AZ7BgYgPxhChxWB3mRQIkQAJuEsD5b3Ddw1lXdN1zkyzTIgESUAIUTuwLJEACOSWgocbpmpdTzEycBEjAIqD7J2HRhmWbFwmQAAm4SYDCyU2aTIsESCCKAKxMWAXGCjAPrWTnIAES8IqAuu7Bwo0IlbxIgARIwA0CFE5uUGQaJEACUQTgkjdw4EDbNQ+rvpy4sIOQAAl4TQDhyiGg8A4aMGCA19kzPxIggQASoHAKYKOySiSQTwLqmgcLE0ON57MlmDcJkABc97DvCe8jWL55kQAJkEA2BCicsqHHZ0mABKIIYIW3rKyMrnnsFyRAAr4iAPGEIDV03fNVs7AwJFBwBCicCq7JWOCwEMBKKQZ6594guL/h726E80Za+JetKx3SgEsMysyJSVh6KOtJAoVFAAs7OEMOrnvcc1lYbcfSkoBfCFA4+aUlWI68EdADFPFzw4YNdjkQ0ABCAAcqZisqMq0YRAgOdqysrIwkgcNjy8vLbYsOyoV75syZE/k8mSsK3OhQrzVr1kSewWSioqIiYzcWjWJ12mmn0TUv08bmcyRAAp4QUNc97HmCK3G2F8YNWLPwPsYxC1jUQrqJFrbwHsa9znt0byjKhM/xO6KR4t3q9gUBWVRUtEfayBNeA3q1adOGItNt+EyvoAlQOBV087HwbhHAwIcBVYUS/o/BI5/hbDG4ogyw4ODSMkEc6TlILVq0iJQZ/8eAHW8TNAZKXKWlpbJ79+4odBBPa9euTbu+KjAZatytnsh0SIAEck1AxQ5+4p2f7blyGD/69+9vCwxd3NL3dqy64F3cvHnzmO9qBNWBCMO7HO9X/G4unrnFBgtoEE6xLG+NGze2xwIINuSP+3gullvkmU6hE6BwKvQWZPldIaArhkgMwgSDYftBZgAAIABJREFUHy4VIRhgIVzwD4Ms/q4rc1iRwwADkYPBEAMR/o/BBvfCQoT/Y3URf3eu4EEgLV++3M6vUaNGkQEKYmbTpk2RVVFzcFYhhUFNrUcYjLHamUjsocwYFJ3CCem1a9cuyhKVCCzSQX4oO/Jzw23QlYZkIiRAAiSQIgG8w/CehcjJxqpjLmBB7OA9D0EW70oknJCWHt+g1nzTQyDFqiW9LZ5w0jECYg3jV6aLakkLwBtIoEAJUDgVaMOx2O4RMC05GLQwYECQYMVP3fTwOwQPVt0gYIqLiyOrlBiAcC8GHFx4BtYbiAqsQqrAwj0YnJGHChd1k8NnulKpA65TKEHwYADVMuF+DNA6qCItCLBEK52JhJPWK1nYXogz1BlpIa9sV2vda0mmRAIkQALpEcB7Gu8+vIMzsaqY4kYtWXjvO9+jeG/qhfc23pu4Dxf+r655GB/UZRzvWbU+xasVhBouLNjpWIS/4TmnGMSYAbdsXHqPLnqp257TnRtscI8bbo3ptQzvJgF/EqBw8me7sFQeEsAAggEPA52uHGIAMl3knJYdFA8DifrLQ7yYAsIUMerOhnsweGpayFOtPLqyZ+41Mlcx8Rz2O+mAqgMfVi5VOGFQxH6nRCudiYQT6oxyJBogNdQ4XfM87KDMigRIIKcEdJ8r3n+J3p+xCoF3Pd67EClIB4tq6v6G33Vc0DEBaWDc0D1R+F1d4VTEqYBTDwQNCGQ+o2UxF98wRmDcwphjeivovchXF/jUK0KFE9LGP60PRJ2KrGR7Z3PaOEycBHxGgMLJZw3C4nhPAOIDgwQGDYgHXBq2Fv93Bk8wLTPxAiuY1iLT5Q7iBtYoDEQYxDQABfLBoAdBgkHX6aKB8kBkmb7uTv/3VII8JBJOyZ4HJ5Rf3Ui8bynmSAIkQAK5I4D3Md6rEB+puh/Hs9TjXYl3ZqwAQ/Fc9WK9g9WKhfeuHubrRsCieK56Onah/moJyx1xpkwChUeAwqnw2owldpkABgq1LqmwwIqfrrJpUAV1xzOtRE53Oi2aaS0y74G1SVckMUBjpVJXCNUShUERgy7c7jQQBMqlboSah9MX3cxH92I5B1gIMNNV0ESpm4CdLiYa6Qk/sZ/JjUHb5SZkciQQWAJqbUh1Ih9YEB5VDFYfLGLh3ZuK6x7epxpIwSyivjfxmdOdOZ5wijeeaLrm+JEtjnjCyRy7NA+MG2Yd6J6dLX0+X8gEKJwKufVY9qwJqGuEuXfI3JyLDNSlDgMpAj2YrhixBhmntci8B4MVBiG4ZkCgYN8Sotxh/xQGU7h7IH0NvoDfVcA5912hbFihRJnUTQTiDoNaLLc7CDWIMTyDCQGsbOZkLFZd1DUPVjBNO2voTCAuAd1f8MMPP8gJJ5wgN998M4VqSPsL3hP9+vWTVatWyd57720HjsF3mAIq9x1C3+FgnSjYDtoDYgdWpVjBJfBZqsJJj5+Id8YUPse73q29Rlicc+6DQh5YGHQGD9L3EsaBeNEAc98qzIEE/EGAwskf7cBS5JGA+nybq2imb7oWzemXrqIq1uqb+bwzLaRjTn7i3YuJk2ndMd38nLicaUJkQRg5B3Otqz6vZXe6Daoogx88XfO86ZyYnJx33nmyY8cO2WuvveTHH3+U2rVryxdffMEAHN40ga9ywQT2448/tvsBLohp9IvPP/+c/cGjlsICVKLIoXhH6zs1lqCNJ5xijR1IxwwwZFZRF9JyvXilwSPUdV3LgHrqwcEeoWc2JOBbAhROvm0aFowE9iQQz53OOchiJTRZdDxTEJq+8xik8TvEFNwI6ZrnTU/s3LmzHeijbt26kQwxaR42bJhMnDjRm0IwF18QwES1devWUqtWrajy7Nq1S5544gkeSOphK8FCr+/HVN+pWrxEwimdKuC9j/2vKqyyCZ2eTr4UTpnQ4jNBJ0DhFPQWZv0CRyCWi0WmlcRAjPQwIYD1SV1UMDDnenUz0zIH9bkmTZrItm3bbKuCXjt37pSzzjrLdtHhFR4C+F4efPDBUr9+/ahKQ0jNnTuXwsnjrqDRU+GqlmqEOSxeIRAQXCzxXKYLUGpt0irDldtr4RTLI8HjJmB2JOAbAhROvmkKFoQE8ktAw6Yz1Hh+2gF7mt55550oixNE1NChQ2lxyk+T5DXXpk2byrfffit16tSxywHrI4TUW2+9lfEkPK8VCkDmsCBpxNVYQiiWi3cAqs0qkAAJGAQonNgdSCDPBBL5tntRNF3RTOTL70U5wp4H+Pfs2dPGAMGE/U0HHnigbQVkFKvw9Q70h4suusjeqP/999/bASJuu+02GTJkSPhg+KjGcN3T/T56XhOKp0GEYoUfd6v4+R4r3KoH0yGBQiZA4VTIrceyFxwBDHyYEMH1ChNiPU1eJ8b6O1YzsdlYI/jlauKM/OC/j3JhP1Ou8im4hspTgdEnpk6dalsV2rdvz6h6eWoHP2WrB3TjfcCIev5oGXXdg4uzRrmDNQptBTe6dA/RjVUrHStwZAXe0/keK/xBnqUggfwToHDKfxuwBAEnoAMgVinxf4giDQUe6yR44MAgqeFnsQcJK5sQUeluTk6EVkON0zUv4B2Q1SMBEnCdgJ7ThHd1nz59ZOzYsZE8Uj0DylmoTMcKvMtx1ESuxgrX4TFBEihgAhROBdx4LLr/Cej5F7DkYGVST2NPt+RYyVQrFYROtgIKIg6DLEONp9sSvJ8ESIAEaghceumlMn/+/D3OPkKEzHQshH4dK9jWJEAC0QQonNgjSCAHBEwXOAgd0xc+m+zUSgQhhoMS0xmYka+ukuInns800lM2deCzJEACJBAEAnjP47wt5/l4qBverRs2bEhaTY1kind6rsYKHiuRtBl4AwmkTIDCKWVUvJEEUiOgK4dwx9Mw36k9mfpdsBZhbxIGxFRD06rogohjqPHUWfNOEiABEnASgFjCvia8V+NdpaWlkT1Qse4x3aVzNVZoMIt0xgq2NgmQQHwCFE7sHSTgIgEMUmVlZZ64wGGlslu3bvbAXFJSkrAWWi7cm62bn4u4mBQJkAAJFCQBLF7hYNpkVzyXPb+OFcnqw89JIOwEKJzC3gNYf9cIYCBEBCQv3SKw6gnxFG/fEz6HZQoiy8tyuQaVCZEACZCAjwngvY/9p/EsT7Fc9vIxVsCtEBYyN/bI+rg5WDQSyDkBCqecI2YGYSCg4WkhTtLdd5QtHz0/xBnoQX3n4cpH17xsKfN5EiABEohPAO9hWKGweIZ3r3nBIwDvZ1zqnpevsaJFixZpuXizzUmABKIJUDixR5BAlgSwkgerTz4j1KnbHs4PgXBDFD5YmhhqPMvG5eMkQAIkkCYBjAl4B5siCi57CACR77ECwg2WJx0r0qwabyeB0BOgcAp9FyCAbAlgIMQZS8n2GWWbT7LnMSAiIEWvXr3sVU0IuVQDRyRLm5+TAAmQAAmkT0DPWIKQgnDyw1ihC2upRP1Lv8Z8ggSCTYDCKdjty9rlmAAGIASDcOOkeDeK2qlTJ9m0aZOsXLnSHqR5kQAJkAAJ5J8Axop7771X/va3v+W/MFYJEEad+5180RQsRIERoHAqsAZjcf1DQAMz+Mmyo+eKVFZW+gcUS0ICJEACISbgx7FC3bs5VoS4Y7LqGRGgcMoIGx8iAbE3AiOaEjb5+ulCiFxEckJACF4kQAIkQAL5JYAoesuXL/fdWIG9TnAd5BEV+e0fzL2wCFA4FVZ7sbQ+IqBhwHGgrJ8urG4ichJXEv3UKiwLCZBAWAnALc5PngnaDvRQCGuPZL2zIUDhlA09PhtaAipOsLk2k71E8HfHCiR8zGEdcl7jx4+XoqKijIM7QDhh31WstEPbaKw4CZAACXhMwO8ucRwrPO4QzK7gCVA4FXwTsgL5IJCt6wWEUWlpqS2MYgWWaNy4sR2lL1N3O4Qib968ed4j/eWjbZgnCZAACfiFAMaKioqKyDlOfimXloNjhd9ahOXxOwEKJ7+3EMvnSwLwDUfo70zd9FQ4oXKzZs3aw8c8W+Hk91VOXzYqCxUhAItqJpZUIiSBIBOAa1u6Vvxsx4pc89Tzpvy2VzfX9Wb6JJApAQqnTMnxuVATyNa9AcIJK5GwOOGcDxyOaA7I2Qon7nNKv3si2MfatWttQYxDhPN1oe0wQfO6DMgXghuHdmIyBUGf6cJAvtgFLV+0x/z586VBgwZZue4GjUu+6oP3Pt7TeG/jPZGKiEo0VuA7h/cOLFJYqHCmic/wHTQXMfDdRL54P+A9gfED96CvIFiRehro9xku4W3atIn7XeZYka/exHwLlQCFU6G2HMudVwK1atWS3bt3Z1wGFU7YI4WNwxgITZe9bIUTCoY0Mt2DlXHFCvhBCFm4reBCe2Ay4qWIwgRm7NixtmDBRBm/x7JGuonYKZbwu15YgaZwcpN2emlNnz5dbrzxRvs98/3330vt2rVl3LhxMmbMmPQS4t2uEYAIgljRCwIqmYiKN1ZoiHKkZYog/d7hc7zDnd9DBCXC+wnvBogljB8oA+7H3yGs8Dv+j8/1b4ich2diXRwrXOsiTCgEBCicQtDIrKK7BDBwYvDK5tR1FU6IfIeBDu4c5iTZDeGEARVpem25cJe2d6mZwsnM1SsRhUkyJsu7du0STLZ+/PFHe9K8ePHijIOExKKXSCyZ91M4edf3YuW0zz772H+GYMKFvrDXXnvJunXrUrJ05Lf0wczdKZzMWsYSUYnGCn3vYwxQixIWbiB2sIiWjnDCAgfe9UgHViocSYG/qfsd0sXf40Va5VgRzP7KWuWGAIVTbrgy1QATwMCGgQnudZlepnBCGhBOpsueG8IJ4g7BJTCg80pOIJ5w8kpEHXTQQbJ161Z7cqzXzp075dxzz5WFCxcmr0CCO1IVS2YS1113nbRv3z6rfMP4sNO1KhMGukcRItq8IKYffPDBrM/dwbvGtJxkUsYwPjNq1Cj5+uuvk1ZdRdQJJ5wgN910U8yxQq1FsATBsu18T6cjnMxFDrQt3v3m32KJNLMSHCuSNilvIIEIAQondgYSSJNALoQTBknTZc8N4XT88cfLO++8k2bteHuqBGDJw+QklX0OqaTZtGlT2bx5c06Ek+5/wKpzqhPm7t27y+GHH55K0XmPQSDWJDhdQHgfHHLIIVK3bt2oR+vVqyczZ87M2oUSCzep9oN0yx7k+xctWmR/R5NdsPzg/XDSSSfJ66+/HjNyKtIwgwThd4hunPeEd0o6wgkWKhVeKpywsKfeBsmEk98DWCTjzc9JwEsCFE5e0mZegSDgxmZap8UJYEyXPbhWZBOOHOnR/SK97paKxQkTIl0hxuTGzchzl19+uSxYsMDe34QLrln169eXe++9N2sLg0kCEytsGE8mouiql17/cfvus846S1asWCF16tSx+wJ+HnjggbJ69WpX+53b5Q5yeolc9VQsabRV/J7qWIF3PwLT4DuJZ9QNHAtozn2OsfY4ZSucsg12FOQ2Z91IwEmAwol9ggQyIOBWcAinz7m67GHwxDlPmZ7jhCpxMEyvYeMJp1yKJbOEaPNOnTrJl19+ae9zwkT5oosusi0MuboSiSgKp1xRTz3doUOH2vveGjVqJEceeaTtsumWhTP1UvBOJeAUTrHEkvM7jWdi7S2KFQZcrUUQQrAWQTjBAoVFNFzqmQDrkhkcgsKJfZQEvCNA4eQda+YUIALZRiGKZXEyB0a40WQrnLIVdwFqrpSqYgonr8RSrIJhQoUJEiZOXgb2cIooCqeUuo0nN/FcLU8wJ80EIki/m6ZlKdGD8cYKvOORHizYWCBDumVlZbbngUZDxee4NMgDxg18rhHydJ9UtsKJY0XSpucNJBAhQOHEzkACGRCAGxxWAjMNvIBJOs7LiRVgAgMjXPWGDx8eWWlMt4hu7MNKN89Cv988x8ltN7xCYwMRpavphVZ2lpcEckVAQ32n46KbyGUa6UEM4X2t3ze89/UYAPwdXggQWfgcAmvTpk22yML4o1H7YH3SsUifgdjShRd8nzWgkbPsHCty1VuYblAJUDgFtWVZr5wS0M3V8c7FyGnmKSSO8ungmsLtvIUESIAESCAHBLAIpqInUfLJrIrJPs+06BwrMiXH58JKgMIprC3PemdFINVNv1llksXD2EBsrlxmkRQfJQESIAESyJCA38eKbL0nMsTCx0igYAlQOBVs07Hg+Sbg1+ALcN/AYKh+8vnmxPxJgARIIMwE/DpWqFtfNoe5h7ldWfdwEqBwCme7s9YuEPCrux5dL1xoXCZBAiRAAi4RgLseLE9+c+3GWIErm+itLiFiMiRQMAQonAqmqVhQvxHQ0LCIaOSXEMGwNnXu3FlWrlzpmzL5rd1YHhIgARLwkoAeZgvLjp/GCrh0I0BROsEuvOTGvEjAjwQonPzYKixTwRBAJLby8vJIuNh8Fxwrm/PmzZOjjz467mn1+S4j8ycBEiCBsBHQ6HkaWjzf9UeUPYg4Wpvy3RLMv9AIUDgVWouxvL4jAP91Mxxsvgqo/upYQdTzPsyQtPkqF/MlARIggbASgLUJ72Z4AUybNk0eeeSRjI+xcIthovDkbuXBdEggqAQonILasqyXZwQwCOGsDT3t3bOMjYz0PA+c7aFngOgp9ObJ8/koG/MkARIggTARgFjC+xfeCHqgNd7DOFcJYwUWt/LlshdrrAhT27CuJJAtAQqnbAnyeRKwCOihtfmIToRBGoMxDkB0ul3o4YYYsP22MZkdhwRIgASCQgDvWhVKECd4L+s1YMCAyPsX7t3wCMjnWFFcXJzx4epBaS/WgwQyJUDhlCk5PkcCDgLwGceACcuTVxcGZz1gESua8S7cgxVQiCc9Td6rMjIfEiABEggaAXXBW758ub1wBuEU64JlyRmAIV9jhe5rSjRWBK2dWB8ScJsAhZPbRJleqAmoQMHeoly7YmDgNjf4JouMdP/999siC+IJK6C8SIAESIAEMiOAdyneqYkuvJMxFsAbwHl5OVZgQQ9jBRbN4JWQbKzIjAifIoFwEKBwCkc7s5YeEsBgCleMeAOmG0XRQBDDhw9Py+VCn8M+KK46utESTIMESCCsBHDQeDxLE5iUlpYmjFqnY0Uu98fC0wAirX///mmNFWFtU9abBJIRoHBKRoifk0AGBEyBAnHjlvUJViaNmGcGgki3iNgThVVILyxj6ZaN95MACZBAIRDAOxRRVWNdWJyCdT+ZdUeD+JSUlIgfx4pCaAeWkQS8JEDh5CVt5hU6Auoeh0ExGxcJUzDBzQ4DbLIBORlsXe3E4K6R+JI9w89JgARIgASqCOC9fPrpp8tbb70VhQTvZgR/SOcdnYuxAuMExot0ysG2JQESSEyAwok9hARyTEADOCCaEnzd8Q9RjZIFaYDVCquRc+bMsQdojZrnlvUK1VbLGAZXHoSY446QQvIaxnjt2rXSpk0bCtoUmAX1FvSFu+66SxYsWCDffvut9O7d2z4HiJc/COhZSBAnS5YskWeffTZSMFjyM1mMMscKPI8xAi52yd75ZkQ/pIFn3bRe+YM4S0EC/iBA4eSPdmApQkIA0Zc0ChPcPDAgqoDCqqCGscVPXBA0KrJytWqo4czxE772uconJE2ccTXR5ieddJJs2bJFdu7cKbVr15Zjjz1W3njjjYzT5IOFS2Do0KEyd+5c2b17d6QSxxxzDPtDnptUrf9mlFL8DS57+AnvAjf2j+pYgQU3pJvKWKEii+/wPHcSZh9oAhROgW5eVs7vBDBZ1s3FOjhi0MMg6fXgh71TcBfJZVALv7dHPssHi8ILL7wgP/74Y6QYu3btkunTpzMKYj4bJg95411w6KGH2uK5Vq1akRL88MMPsnjx4phR2vJQzNBlqVYmWHScrtcahCFXi09+GitC1/CsMAkYBCic2B1IgAQiBCDiunXrZq+a0nXP247RpEkT2bZtm+y1115Rwqlz586ydOlSbwvD3PJKQL+HEM7mVadOHduaweMEvG2eVIPyqBeBt6VjbiRAAl4SoHDykjbzIoECIIBJAsQTLF5eHuZbAGhyWsSWLVvKv//97yjhtGPHDunbt6/MnDkzp3kzcX8RUIsTRLQKabjs1a1blxZhj5sKIhbWeLQJAukk22/kcfGYHQmQgMcEKJw8Bs7sSKBQCODsD/jX5/KMkUJh4UU5sacBIgkTZEyW4ZZVr149wd9jHaDpRZmYR/4I4Lt3ww03yObNm213vX322cfe9E8R7V2boA0gmtI9L8+7EjInEiABrwlQOHlNnPmRQAER0DNG4B4E9z1euSWgIYnr169vi6cZM2bIZZddlttMmbpvCcDaMXXqVDu09ZlnniljxozxbVmDVDCNbgf+sDIli4AapLqzLiRAAokJUDixh5AACSQkgMnDwIEDbRcVBI7glXsCmLh5HRwk97ViDiTgfwKJAkD4v/QsIQmQQK4JUDjlmjDTJ4GAEIDrnhmCNyDVYjVIgARIwN7DBLc8uMbCwp7JOUzESAIkEHwCFE7Bb2PWkARcIwCff1if4L7CyF6uYWVCJEACeSSgVnVYeWFVp7U3j43BrEnA5wQonHzeQCweCfiNACYZF1xwgb0i68ZBj36rH8tDAiQQHgLYV1hWVsYAEOFpctaUBLIiQOGUFT4+TALhJQDLE0QUVmgZoje8/YA1J4FCJADXPLzDGGa8EFuPZSaB/BGgcMofe+ZMAgVPAKu12BcA1z3uCSj45mQFSCAUBDQABMKMw+WYrnmhaHZWkgRcIUDh5ApGJkIC4SVA173wtj1rTgKFREADQEA43XLLLVzsKaTGY1lJwCcEKJx80hAsBgkUMgF1e/nkk0/sA3O5glvIrcmyk0DwCKiVCYdJY28m31HBa2PWiAS8IEDh5AVl5kECISEAtz2472HfEyYovEiABEggnwTMMOOwMjEaaD5bg3mTQOEToHAq/DZkDUjAVwTgutetWzcpKSmx3WF4kQAJkEA+COBdhMUcBoDIB33mSQLBJEDhFMx2Za1IIK8EMFFByHJcPBclr03BzEkglARw5hxEEwJAYBGHFwmQAAm4QYDCyQ2KTIMESCAmgREjRggmMNj31LZtW1IiARIggZwSwKIN3juwNiHaJ987OcXNxEkgdAQonELX5KwwCXhLAJuy4bqHDdlc+fWWPXMjgTAR0AAQOBoBbsIMABGm1mddScAbAhRO3nBmLiQQagKItgfXPRyUC9c9XiRAAiTgFgEzAAQWaHimnFtkmQ4JkICTAIUT+wQJkIBnBOBCg1VhutB4hpwZFTgBiAL8w6IDrz0JwCVv4MCBtnWJ+ynZQ0iABHJNgMIp14SZPgmQQBQB7HnCRIeue3t2DIhKcKmsrJTWrVvLhAkT6G4U0u8PrLT9+vWTVatWSZ06daRJkybyzDPPcM+O0R9w9EFZWRkDQIT0O8Jqk0A+CFA45YM68ySBkBPQVWI9jDLkOOzqQzT16tVLtm7dKrVq1ZIff/zRnjB/8cUXFE8h7CDdu3eXN954Q3bv3m33h507d9r9YfPmzSGkEV1lPXCbYcZD3xUIgAQ8J0Dh5DlyZkgCJKAEYHmCiIKLTdhdkTp37ixr1qyRunXrRjoIxNOwYcNk4sSJ7DQhIgBrEyyOEEzmtWvXLnniiSdCvYdHA0AgzDgOs2UAiBB9MVhVEvABAQonHzQCi0ACYSYAdxvsfYJ4CvOmbrhibdu2Tfbaa69Id8BEGYJq6dKlYe4ioas7LCkHH3yw1K9fP6ruEFJz584N5fdEA0BAOCFiXpjfFaH7QrDCJOAjAhROPmoMFoUEwkoAVidE3cNkCHt8wni1a9dO3nvvvSiLE0TU0KFDaXEKYYdo2rSpfPfdd1K7dm279rA+whqJ70rYrLNqZVLXXlqZQviFYJVJwCcEKJx80hAsBgmEnYDuW4CbUhhd9zA57Nmzp90NMFmGaGrQoIF88MEHdEcK4ZcD/eHss8+29zVhnxNE0x133CFDhgwJDQ0zzDisTHDN40UCJEAC+SRA4ZRP+sybBEhgDwLjx48XuO9BPGGFOUwXrAnXX3+9VFRU2HtcEDEsbNaFMLV3KnVFJD0sJuC70LZt21QeCcQ9+C7gXcAAEIFoTlaCBAJDgMIpME3JipBAcAhg0tStWzcpKSmx9zPwIgESCA8BHFkA0cQAEOFpc9aUBAqFAIVTobQUy0kCISOAlWbse8LFgy1D1visbigJ4DuPQDFYOOEh2aHsAqw0CfieAIWT75uIBSSBcBNQ171ly5aFylUp3K3O2oeNgAaAQIAYWJkZACJsPYD1JYHCIEDhVBjtxFKSQKgJYFIF1z1E3IP7Hi8SIIFgEDADQOD7zTDjwWhX1oIEgkqAwimoLct6kUDACGCCBfGElWhYn3iRAAkUNgG45OEQbHyn6Y5b2G3J0pNAWAhQOIWlpVlPEggIAeyBgAWKeyAC0qCsRigJIHImokYiAAStyKHsAqw0CRQkAQqngmw2FpoEwk0AIZoROIKue+HuB6x94RHQ89oYZrzw2o4lJgESEKFwYi8gARIoSALq5oPzbSCgeJEACfibACzFsBj379/fPsyWASD83V4sHQmQwJ4EKJzYK0iABAqaAPZIQERhjwQPiy3opmThA0pAA0BAOCFiHgNABLShWS0SCAEBCqcQNDKrSAJBJ4D9EljJhnjipCzorc36FRIBtTK1bdvWtgzTylRIrceykgAJOAlQOLFPkAAJBIIArE7Y9wThRNe9QDQpK1HABMww47AywTWPFwmQAAkUOgEKp0JvQZafBEggigDE0yeffELXPfYLEsgTASxi4OBqBoDIUwMwWxIggZwRoHDKGVomTAIkkC8CcN3DxA0hy/3quodJJSaYy5cvt4Ue/uFv+Im9WvgHtyb8LCoqEgTB4EUCficwe/Zs+7uHMOMMAOH31mL5SIAE0iVA4ZQuMd5PAiRQEATUdQ+TN7gK+eGCMMKej/LycvsnRBEEUfPmzaOEkimRFtKZAAAgAElEQVSkKioq7HvxD3UpLi72rRj0A2OWIT8E0LexzxDfO56xlp82YK4kQAK5J0DhlHvGzIEESCBPBDCZg+sefi5btiyvG9MhfBABEGIJ4ZhhCUtnozzqgNX8OXPm2DR1RT9PaJmtywTUAglRDfGh1kdkg/+j3yDAgloh0Yf8EkVS+zb6NBYp0unXLmNkciRAAiSQUwIUTjnFy8RJgAT8QACuQ3Dfg3jC5NPLS6OKYTKJoBVu5I8DgLG6jzQZht3L1nQ3L7VAlpWVRVw0YYGEa6YKJOSI/8MKqYJq7dq1tohGX8I/iOh8iCgzAAT6tl/dYt1tNaZGAiQQZgIUTmFufdadBEJEAAIG1iesiJeUlHhSc4g1TIpzNalkGHZPmjEnmZiCOhMLJAqFNLBHrrS01O7TXkaT1AOoVbzTypSTbsJESYAEfEaAwslnDcLikAAJ5I4AVsi7detmr+DD+pSryzzwM9cWIT/u5coV1yCkawoOWIrcsNLo/iJYoSCicr2nTxcEUH6vFiGC0PasAwmQQOEToHAq/DZkDUiABNIkADc3uLtB1LjhOmdmj0ks9jLhwiZ5L1bidS+Xrv6niYO3e0RAXSxzFXHOFGW5WBjQvo2fbrmdeoSe2ZAACZCAKwQonFzByERIgAQKjQAmsXDdwwTQzVVziDI9v8ZrJu3atbMDT7hZH6/rENT8sM8OfQ79Ldeh5dEH4cbnprVTXQvRvxhmPKi9lPUiARJIRoDCKRkhfk4CJBBYArpCD6sTrEPOCxvyYcVJ1WoEFyZEvctXBD8INoinXO2pCmxHyHHFzDDdXgVx0IAoa9asySpwhOl2ChdAN1wLc4ybyZMACZBAzghQOOUMLRMmARIoFAK6Qm+eP5Ou+5uGZIZo8mpyHIsvxCD2cWU7YS6UtvN7OfMppjVv9IVMLnNhAWI81QWETPLiMyRAAiRQCAQonAqhlVhGEiCBnBPQCHUQT3BFgpjC33DB5SnZSjvEirox5bywSTKAtQGTXpSbV/4IqJjOxV66VGuF/XawnKaz50nPDENESFiZ8H3gRQIkQAIkIELhxF5AAiRAAtUENEJd8+bN7TDPemGlPZEFB3tXMMlMZ3KaS+jqspfPCXsu61cIafvJbRLum6kemAyRZe7Ty6f1tBDamWUkARIIFwEKp3C1N2tLAiSQhADE04knnig7d+6MuhMb+mMJIw1x7sWm/3QaD6Gpdb9VOs/xXncIwOqn0efcSTHzVCCGIJ4qKysTJpLrqH+Z14BPkgAJkIA/CFA4+aMdWAoSIAEfEFARBPEU64rlsofJJgSKH93iWrRoYYs9Wg287VwQKrrPzC/7guCyh7LEOiTXDABh7vPzlhpzIwESIAH/E6Bw8n8bsYQkQAIeEUB4cgiheFcslz1MSCFMUj10FJNU7H1BJL9YggaiDfe4EbIaLldwO2R4co86UHU26fYJL0qHPgUh7XQ51X1Y2MOHPuwXoecFE+ZBAiRAAukSoHBKlxjvJwESCCQBTCwhNODiluhyuuyla9WBNQLPYIIay3VKD+fdsGFD1pwxKYYYTOailXVGTCBCQPc2QaD4TYSYQlqtTHq2VLLgJ2xiEiABEiABBodgHyABEiCBPQhgMlleXh5XROmhuRquOZ1wzyqckCkmq04XPzeFE/JIV9ixO2RHIBPXTTwDIeO8YJXEP7cuFdJw31TXPbjm0ZXTLcJMhwRIIOgEaHEKeguzfiRAAlkRQEhyiChMOvVSlz1MeCsqKmLuG4mXqQonWK6QpnPflNvCCRPkoqIihpTOqhek/jAsfAhLn44FB4Eb0C/MS4UUhJObByofdNBB0qBBAxk5ciRdOFNvVt5JAiRAAjYBCid2BBIgARJIkYApoiB8MKlNdw+RCicIJkRew++mK53bwimTfU6YtPvNzSzFJsrrbfH2ESUrFIQTrD5O6yPcRiF8cY4SLENuXH379pVDDz1UJk2a5EZyTIMESIAEQkWAwilUzc3KkgAJuEFADwh98skn7ZX7dKwLpnCC8IIrnemy57ZwgjjDlSx4BeoE10N1UcQk3o0AFW7wLpQ0MnHdRN3iCSd8huh86DNu7HlDepm4EhYKf5aTBEiABHJNgMIp14SZPgmQQGAJZOKWZQonCCZYsSCW1GXPbeGUaKLsFEvmPhu4h1E4pdd14XoJoZruQcjJhBNKkW6a8UpO4ZRem/JuEiABEjAJUDixP5AACZBAhgQw4U333BuncFKLg7rsuS2cnJP5RGLJxEDhlH6ngGvd8uXL03ariyWc1KqJ/lBaWprUYphqafWMKbcsWKnmy/tIgARIIAgEKJyC0IqsAwmQQF4IwI0KLnDpWGZiCSf9GyxQ2OsCq4A5sc1mzxEm8y+++KIMHjw44oYXK4KbE+Btt90mrVu3zgvXQs30L3/5i+y3335pBQtR4Qw3P3NfmbYR+haskW7tOdN9WAxRX6i9jOUmARLIJwEKp3zSZ94kQAIFTSCTwAuxhBMgqMuehoaGcEJgAD0w13lwaargkO6rr74qDRs2THpGlZlmly5dpEmTJqlmw/ssAu+884707NlTHnjggbR4wOKEa/jw4ZHn0A8gltwMR66J16pVS3bv3p1WGXkzCZAACZAAo+qxD5AACZBAxgTcFE4oBCbQsDxg0qzCCf9PFtghUQWc4ciTnVGladFVL/1ukWogDmfKifY44V61PkF0q6BKv3RVT9BVL1NyfI4ESIAEKJzYB0iABEggYwKw5mBPizOMdKIE41mcdFKLKHumcCouLk4rap8z70QBLBKJKAqn9LtFpoEXkgknFTt6IG42QjrTyH/p0+ATJEACJBA8AnTVC16bskYkQAIeEch0vwgmwnDDirVvBWniH8QTrEU4TDWdPVRm1ZEOJuVw80u2R8Ypoiic0u9EuYiqZ1qJUmnHZKXONIBFsnT5OQmQAAmEgQCFUxhamXUkARLIGQFYiCAydG+SmxllK5wytYDgOVg3clEnN/n4La1MhXQqFif0BTdCksNKWlFRkXYAC7+xZnlIgARIIB8EKJzyQZ15kgAJBIYA9jnBmpON+1Q8GLBgQMAksxbFex5uekVFRVJSUhIY3n6vSKZCOlHkRFgo3RJOiASJIBTpHNrsd+YsHwmQAAl4RYDCySvSzIcESCCQBLBnBJNRv4V3Vje9XFnDAtmYLlQqF0LaLeGkFjEEHslUjLuAiEmQAAmQQMESoHAq2KZjwUmABPxCAJYdBHEYMGCAX4okiPCGifLkyZN9U6YwFAQiB653bgtpWB8z3eum3LG/qby8PK1gJmFoM9aRBEiABFIlQOGUKineRwIkQAJxCORqspwpcI3CRmtTpgSzew7ueoi0mIszmLIpGd30sqHHZ0mABEiA4cjZB0iABEjAFQLYg5LtmUuuFMRKxE9lcatOhZQOLDtlZWV2NEO/XAj4gTK5EWDCL3ViOUiABEjAawK0OHlNnPmRAAkEkoDuH4GlIVuXqmwAIWranDlz7Aky97FkQzK7Z2F1gpukH4IwoG/C2oTy5LNvZkeUT5MACZBA/glQOOW/DVgCEiCBgBDQQBEQLflw00L+2G/lRzexgDRxytWAhQeBIhCIId9XJgc157vMzJ8ESIAE/EiAwsmPrcIykQAJFCwBnTC7cVhpOhBUNPnFypFO2YN6L0QsLgjZfF0U0/kiz3xJgASCSIDCKYityjqRAAnklQAi2mGV3yvLEyKuYV8TzpLyU2S/vDaCTzJHhD2cm5SPdtEgIRTTPukMLAYJkEDBE6BwKvgmZAVIgAT8SABiBvtKYG3I5T4XCDRs+ufk2I+9QOyQ8BBPXota5Kth8nkAsj/7BktFAiRQeAQonAqvzVhiEiCBAiGgblIQTrA6IOqeWxfSRhAICDSIMzfTdquMTKeKgO59g3jyQsSY/Y7neLEXkgAJkIB7BCic3GPJlEiABEggJgFYhRAoAJPmbCeysCTAFRB7qdQFjNHz/N/xNLIdBG4u9zzRbdP/fYElJAESKFwCFE6F23YsOQmQQAERwMQZ4gln/MACVVxcnPK+FzyLCTFc8rBvBftlIJoomAqoA1QXFX0Aben2vidTUNNts/D6BUtMAiRQGAQonAqjnVhKEiCBABHQ8NCwGkFEQQCpq13z5s3tfTEVFRX2T7hd4SfCm0Ns6f0BwhG6qqhVCO2e7dlKtECGrvuwwiRAAnkkQOGUR/jMmgRIgAQgnlQogQYsSphQQ0CpoIJoonUpeH0F1ke4XaJtcTAthHEqB9Siv+DZ8vJyu7/gGeyf4j634PUR1ogESMBfBCic/NUeLA0JkAAJkEDICMACtXz5cnvfGoSQCmUVzhBK+IfP9P+0QIask7C6JEACviBA4eSLZmAhSIAESIAESKAqfLm6Z6olslGjRhHro4opWiDZW0iABEjAewIUTt4zZ44kQAIkQAIkQAIkQAIkQAIFRoDCqcAajMUlARIggXgEYKGIZYmI93eSTI8AXOrAEnuJ4CoH1zlYh3SPUrLUcC+eNdtI9yshGEiqe5yS5ZPsc9RDozPiXq1Xqgc1435zLxYiBbp9TlmyOvBzEiABEsgHAQqnfFBnniRAAr4mgL0mOFwWk2NMbHFh871OeNOdaGZTWUxwUZ5kB6fqIauzZs2yI+/h0ohrCDShzw8cOND+u54lhOcQoAD1Q31jXcoDk348W1RUtEco9Vh5ZVNvPz6LtmjRooWsWbMmwgq/pxr+G+w1MqLWr1u3bvbz6Fv6L5d1R0RHXAhpj/zw+6ZNm+w2hQBKdJiy9hX0h927d0eKiba/4IIL7HrE60O5rBPTJgESIAGvCFA4eUWa+ZAACRQMAUyQ27VrJ5WVlXaZMaHE5BCiBJdzxT6XFcNkFf8w0U12NW7cWDZs2GBPiPXcqP79+0dZBzB5x8QXk38VQpj0Llu2LG7yyB/P4RlcEAu4P1YUN7BC/hBiQbucHFA/9BOwyGTPUaz0cslMBbCKZvQRtKX2mWRth+chjPCMKZxQZj3gV/tILuvBtEmABEggXwQonPJFnvmSAAn4loBzgolVebhSYUVdrU1wVcJkGb9DQOCf+X+tnB5ea7pzqYsXLEN4BhfSM/+Ov2FireGmdWKuwQPwuRkowDkJRx0QqQ1lNi8IIBVWEIJ4DtY1533mM6j/2rVrI8IRVhK4ZsVz7YKYCOIE2skB7CA2IJzwfxxQjPaBaMT/8TflgPvwuwpUtd6Y4cS1jRFqHLzxOz5HO+FvaCdwx2f4/fbbb5evvvrKzgtiCH0J1kO0JcqB+1EWbSe0vWkt1POkIJxwaYhzFVaxvqBIFwLdKZxwL/oFysqw6L59tbFgJEACWRKgcMoSIB8nARIIHgFMPjFhxaQTP/G7TgjVGoXJJsQJBBV+wrKDCSMmp7qCrxNrTGQxicVEGBNfTFAx2cX/4SaF33EP0obYweRWXeswSXVah/ReWIqQF/I1xR1aBJ+hTE5xg7+jLrAawKKG5/B8ov0teAYuZrB6oU74HWWKZ2WBSGjTpk1KVrJC6j0mBxUaEDHaHqZ4gBA2LYDO9onXRhAz6BtoI/CFCIWQUQGOs5vwme61Qjroc7AEoT+BPfoRnlHxrJZSp6UQn6Nvq7hz/p6ucELepltoIbUty0oCJEACqRCgcEqFEu8hARIIFQFMkCEmMAnEJBYCSl3lnJYd3VsESwImr5gsq4sfJr2YVGMSHcvdDRNafIb88CzyMa0CmACrSEEDmILEmZ5TKMVypzOtS/o50kQZE1kJcK9a2NSikuh+FZ46YQ9K53Eyde5ZMi2VydoHTGK1EdrRFM64ByII/cPsJyZTM53/3951B0RxfP9PEr+2WIlojC0BjRpRIxYkWLGh2MESKyI2rGBHRdSIiAVLxAJq7L1gIaCIitiioih2wdiCaCIWNKLml9+b3du7vb294xQSwcz5D8LtzsznvXnzPvPevJHrAZMD02FJd+VEjj3P+svkL484MYJvKm3TVMSJtcc+H2Ka5oeiw3wcHAGOQOYQ4MQpc/jxpzkCHIEPEAF5lEd53kkZOZD/X0q/Yo6uFJlRS4MydWZInu6kTBmUO8jKfiidcDWnXB5dks5tyQtFqIlSOgcjkUFzxM0iaCxy9qERp48++kgvRU2KBkkkUk4cpHQ7KQVSKQ+lXkm4sndK6XXy6CaLPhkjw8bOnylT55TESSlbtaiYUt6miJM5z5ujP/w7HAGOAEcguyLAiVN2lQzvF0eAI/BeEFA7KyRPZ1JGduT/V56FYs9Ju/fyNC85sZC3p3Rk2fPs8lOWtid3WNnPUrSDRROYg82cZImkMeCYA86Ii7zKmVT5TCoKwRxxlqInERy1suWMvLGomzwKIaWNsSgU+7uycMWH6kDLiYuSGDHM5bogpa0x/OVpe1KKnZIUS8rO5CoV9JATMTUZs2fk566UusuIHiO8Upvs3SydT64TUlSU/U76O+svGx8ja8oUTqmyIHuvMlXTWHroe5nIvFGOAEeAI/APIMCJ0z8AKn8lR4AjkHMRYM4qO2cinVuRSnVLDiQjKMzJZOlU7HdyZ1qK4kh/k3b8mbMpHeBnzqY8HU9OMiTixIgSc56lYgPSgX7WlnQuir2TvUtKxWJ/k55jxEh53kSt6hl7RpmGKJ2bkiTIxs8ccmXBAIkIsvcqS6V/qA60dP6IyZ/hzuQvJw9MrlJpcem70jkz9jfp3Bd7xlhaG5MrS5djH4k0s58lHVIW8ZATHCYndgZKSpVTtsm+q5QX+z/TM/aRp/VJz8plK52ZknRPWVpdGYHLuVaA95wjwBHgCKgjwIkT1wyOAEeAI6BBQIqkSIBI1fLkzjFzTtn32K68VOFOugxUqoonPw/EnE3pwlT5PVDM+Wb/Z++TquOxdplzy/4mv2BVep+8yh5rS15xT/4ce48UlZLf18S+z94rpZYp25acfXm5annVPyVJYA668qwTa1eqqvcuJbr/K8oo3d/0b957JJFnZSRSiTn7nnT2zVwZfqhRxv+KPvJxcgQ4AuYhwImTeTjxb3EEOAIcgRyHwNtWOWPki5E0c8pJy6MrEjDM4WaRFCniluMA+xc6zDBSVrv7F5rVNiGdw8uoIIha2qaxfkrRMxYNNZdo/Ztj5m1xBDgCHIGsQoATp6xCkr+HI8AR4AhkQwTMKTf+Lt1WVpRj72BEjZOmjNFk5OXfjDSp9Sgr+5CV78oYPf4NjgBHgCPw/hDgxOn9Yc9b5ghwBDgCHAGOAEeAI8AR4AhwBHIIApw45RBB8W5yBDgCHAGOAEeAI8AR4AhwBDgC7w8BTpzeH/a8ZY4AR4AjwBHgCHAEOAIcAY4ARyCHIMCJUw4RFO8mR4AjwBHgCHAEOAIcAY4AR4Aj8P4Q4MTp/WHPW+YIcAQ4AhwBjgBHgCPAEeAIcARyCAKcOOUQQfFucgQ4AhwBjgBHgCPAEeAIcAQ4Au8PAU6c3h/2vGWOAEeAI8AR4AhwBDgCHAGOAEcghyDAiVMOERTvJkeAI8AR4AhwBDgCHAGOAEeAI/D+EODE6f1hz1vmCHAEOAIcAY4AR4AjwBHgCHAEcggCnDjlEEHxbnIEOAIcAY4AR4AjwBHgCHAEOALvDwFOnN4f9rxljgBHgCPAEeAIcAQ4AhwBjgBHIIcgwIlTDhEU7yZHgCPAEeAIcAQ4AhwBjgBHgCPw/hDgxOn9Yc9b5ghwBDgCHAGOAEeAI8AR4AhwBHIIApw45RBB8W5yBDgCHAGOAEeAI8AR4AhwBDgC7w8BTpzeH/a8ZY4AR4AjwBHgCHAEOAIcAY4ARyCHIMCJUw4RFO8mR4AjwBHgCHAEOAIcAY4AR4Aj8P4Q4MTp/WHPW+YIcAQ4AhwBjgBHgCPAEeAIcARyCAKcOOUQQfFucgQ4AhwBjgBHgCPAEeAIcAQ4Au8PAU6c3h/2vGWOAEeAI8AR4AhwBDgCHAGOAEcghyDAiVMOERTvJkeAI8AR4AhwBDgCHAGOAEeAI/D+EMhGxOk5Ht7+A38qscj3Gcrmf4Hbj3OhRKmiyPMOWD1/eBt//PkJCpYohaJv9QJZn1g/LD99h9ZVHklPxcMX+WGp6Ez69RjsTi6JNg0qvOU4qZ8PAcus6p/RUaYj9d5T5C5lCeNI/Ft9yRpRZOlbUuKw9zRQy9kWJbL0xeo6dC/lGf5S6GV66j2kPPuLHsiHz8rqy0mcB+xPmjkl/Ef8fFKwBEoxfXz+ELeF35szX4zMWaltetdDWOIfV8tMYZ2O6zG7kVyyDRpUeCvjkEGrhM29Vyj0jjZLevm724RMgaKmcGbMfdljZOPuPc2NUkrhK+ZIeupDvMhvSXY5BXHi5IFtVk0eWR9S4vbiNGrB+R1fri+HzMr2n9I5pdg08/OTgu+8dmaFFj0XFycTa0ZWtAIw2/c0d6nsZW9yhA18O/zfSp6ZXhNN2AVjNubthmPE1qVAWEbFxVF9/kiyzUW2jq3Fsu9p12Faaz/DY7wq9La+p5FBsDGbaCvLfFSTGBraP7lOiH6Gof9h9JV6csysbc208M16QbYiToe9K6NR0B0UrNoeXevmw4WdG/DH4O0YtKcjvE9XwfT4BPhUM2tc4pcu/ohGDqNwuFh9tM1/HLsu5EfzHyOwfbBtBkb8OeIW9YDrlEQ4jPJGu+K/ImTMTjQ5eA5jqrxF+2pfvbsRHat9j6RxCTineNnVJa3QYlsr7N0/BGY3kxyB/g4tEVJvJ/5e3S6TnTP1+F0c8mqNxvOqYeffq6Ha0r/Wl39wmNKrySjee1VIJBNGP/qT/Nk+b9h7v0bgkYVoVfSf62Nq+CBUHfYXAv2tcehEWQyf+71WX9LvhqBdmf6IRBn4HL+N6XWlfpyBX/lamJJYBl6HLmNurdPwrtwIW+stwNzmf5B+B+Bi2004M78IZrLfux7C5bkNM5gnYeiV9wd8tmQscod2QiDGYIvHK8wc+AdGHrVCQK0pqLbzb/yjaplpmK9iSasW2NZqL/YPMTbrzNkwkHXk2SUs61EPA26NQ8K5MebPZZWxvJNNyDQmyhek4sSExrD3NzH35Y+knsCExvbwr2Zok+RzpOwae9Qd/id8E8iult0Hb3tvvA48goU0eTLtBN89BK/WjTFP6IMj9nnbw/t1II4sbAW1qZlRezo5OONsu5ro+Zay1X+/OTqXSSHS2udgtxEdNvbFb7seofXMkXD8B22Sem+f4YxffdSaYqbeZGLIdw95oXXjednK3jw744f6OcIGmgJevsa9vTwzvSY+07cL2p7qze+s9nvSETelJmrOKI4Ja3shV8gYzEYAzke6w0rTgZRYP/hFNYWfXz3aJE3BSqfP4R7pgB8TYzGYfYnW4SZlFqFJ/EmMtIjA5JmP4BbQB5Uyvfduui2falm5+aeiFxrbPqfWXrwMbUVfSEGsnx+imhIe9V5gY9f6GJXqAR/74/APLYNFZ0LRzuhG2HP8euAnTPIai7XfrtP4r+m4GzYZMx+5IaBPpX98s+VdTU42Ik7EcwK/hc3YeFTwO4Nrk22RfmI6PE63gm/JnZh1vgq8x3TWKJ64k/ZKs0uu27VUwJCyHzMnxaGa7wi0fDQHNtUn4GLBvgh/GIqWJvQraakjvhleEKG3wtBDI/T063G4WswW1djiI0SMciPXiz/wpkhZ2uFijhXbodBn2UK/cufCiz+egcJdGif8IgK/tcH6bvE42L0InsHUbqDKjqEmIqCNEFB3wnp9hPYwTpyE3YBCufCYdipyf8b6q3mvMoqm8m4BUen3R8agdI/cOuKk2f3Qjc3MvuQH/tBGENX6Qng+fIHcuV5AhE63W6PD9A2KCBEVDfYKHNWijOIukLH3yWSUfhebe1fD1PI7Ed7fWtO+UhY0wTf3RrWp5bEzvD+stfKV66D6jq+6XhiZwkqZEObHptWHw872OBw+HDUVUSWSAHp91AWb86Qjv/s+JAc3E6OXJyagbKM5eJBeCVOZo1pF0kORwKeubQeLns+w5PZCPGnD9NOQ2Bv28Cbi4vLDlnbx5TqYEheHF7Z3MPmj9sDONMypQZFk1ciYviwM328MPzGqlk/QZfaU+vwzFmmWdgN1z8tbNnzX87gpcKiZgBG35sBRGoeK7gs90UT87q5sC4cd3YwSJ6M6YGBblKhkpFPSvFB5jsxAfvxhsBso2Ae1OSnfaQ3rBVGcc1CDIpJ62Em7oDIZS/qQNqeG8d3Hi4H41mY9ugn6KOvv8zhMcaiJhBG3MMfxb/yNj+ifJgIKwx1Xg5FqMgyOjCmNHrnV7aKebryRt6ex4SbkIKxT67sh/mB3FFHYE73deGlHGirvV3RaXSfF6L2azEzrMD33kxuK9wFW3ppHjotoP1XnQ4b6Jq53bJdbbueNzTmD35vSG4MJb3y81HsxI8Vg91/6/RGMKd0DuWUbNWbtfKuuebp+PM6lH4lXtxnSQJS2g9li4zZQu65q1g4pI0Ba24X/U7yCRREkeYt/e2NULwxtqLptZG0/FCa9oW3WvUNljYvpZ9wOGFmL9ayr1icyZqeM9FduHozNb40sTdsm8f2i32bcbT7vb4Pqm3uJ9luwU1vQ+8opeFWkZy4GofaAj7AudgS+Fl5xFUG1q2P8Bdmay56pfxdzHy2AI5tC+z1RfU0LHKZdxMwF1M1oS7MG6XBgc+QF8pcthFf3fgeKFQN+12BAWkDTSsxOEfDT/KyBRtS73LLsFdFv2NL7Ck4RGBeDamPAR+sQO+JrYYwlm9/DgkfkNxc9D3+b6ljheho3/GqqA33zGPbet8DDuZXRJ5/cTqdjv2d1rGlxmDZdM4eWcQln7i/ZmjgJQyNwf9qyFTt2XECz0P3o9NtINOsQgi/GjEeeeT7Y9aYMKn7eDnMv0C6/KbJ93l8kTiW8cOjWXDQ0+l2mmJUwvvJOPCElN/hawgLY1x2OC184oOqL07jcYSt2fbEWS25+jLvh2xFXJVjYmXixgO2mXoBV226o+zoGq6V4lQsAACAASURBVKPTMDg8kRyBG4LiTc3lit62z3FgdTTSRuzD3YBSCGlnD69bo3CSJmv580vh0n41Koxqhkt+U3BrSByu9IjH4LHH8PrVCayPfIQBwvvymCBOyYjo74CWIWmo26U9vrq1ExsSy6JLWzsUehGHnRsuwHHrHWx0KYqUMA/YTwJG+doibqIPLg+IQbRXNTym39fsHgunwB/gRItwp0ArgTg5nQ+CY/sINBtlj+N+wSgRckFQcuMkTtaXxp/jwjELzI7xwumurNGBwIIxiHc/htgxH2OpfV0Mv2CFtt3q4nXMakSnDUZ44hwUXypi+oVDVbw4fRkdwmJgNbU9IpqNgv1xPwSXCMGF1Q1wxqMqvOGDYVgA71cz8XK1E84HOaJ9RDOMop0Qv+ASCLmwGtablDL6GJOOXoLn/37C4NZ9EMuiMR2/xtdNKhAmY3Hs9SucWB+JRwPCkTixGDYMbo0+sfWwYG5HfP11beRa6wyXBbZY9ZIicilh8BABhW3cRPhcHoCYaC98rBmDTi/ENieo2BZVmbhB1u4QtHb9Dl/p2QC2WE9GgUEFsHhjNexLDkYzIlH7PUtiCroibfExjaOqT5xIcLQg3n1L4qRr2FDuotMQ69gXTUtcFHStzk+Xsad3cVVZGNrHJPw0WIH5HEfcIEPdIsJZ2NHy29kEB885Y1/tFohw9hF0YGeTg0QEiyHMwx6TMAq+tnGY6HMZA2Ki4VXtMfaPbIYBN3tilMVyeK+tjrUnmmJNcy/cGnWSniuLmBn9FHO5Me6P7QmHQGDMlhGo/UVNtCmwU0X3iwjj+m5GAYwK7IfPKPo47NIQVeKUYMw2FF+qsC2hmHXbW2sTqmSgU9p5Ef4YC9lqLX2kSPCr+ujdqjSuUiT/Qo3lZKda4ppkHwzmpL7eVotg+hELx75NUeIi2ZELNbD8fCTcLWMwo98S3Pz4LsK3x6FK8HlEuluJdiDWEX2blsBFbXsuuDnGQTdHZMRpwP0xcHBZANtVLzHFcix6ioBjRO28eLi1FzzDXfHzw2VwwmF4l2uE6GHxOEnpB/r2OYXkXhPdY50Q+IMTbs2jKKgVLcgLC2CMgwsW2K4iW9AA4Qr7cHngMVl7X6BmpdPopmfj9eVABhw2U3PBtbctnh+Q7NMovBrKbG09wT7WiegPh5YhqEeOvP546P01LmKEvaRz5bXzwfd7mtsTQ1Fm0RmE1jkrZhLIZea4FXc2uuA3gzmgjGrexDGtzk5C9ybf4uZolfnwsVLfwvFYT3HI4VO18/lV5gntxtNG5chmA3Cz5yhYLPfG2uprkdJtF4ro6U0d/HR5D3qXUTguajqqGW9RI3pf7THZ2JrdEesUiB+cbmFep0BYCcSJ6YE43oG0BoyJd8ex2DEw2IxPIjuvXE8rHxRxT6uLxp9fwDGL2YjxOg3dMhUP92OxGGPwsovkNyjt0A0jNrCM6nq7saw/qlOk3+3QLcxtKPoJYx/54Pjt6ahB/a9Q/xjGHp+I+G7qemEQUEw/jyBHtj764ntswERNBKDOWVE3X9XvjValr+r5AXpSST1PNli+xjVBi5vDFXZAI8/iUlvytbgREmTz3Vpj94zaKRhieLjmKq1dEOWqMr/JT9OulYIroZHRJ8Go3SICzj7MR9FkDOWjSKz1UMQPjKS1sLkR7zkd27rmhau06cI2HWm9mXA7GgPKpGJjx5L4qc0tRPSRnPpoDLPwRsFx1bDY9wkWsA33E2Qv5zvgdvQAyv1gH/ad/igYfpGyQDITFTLVlhtSl7ZFqyDKNun7CH6zCpCfMx//C2oIt5kXUKhqXTxNOotKXZxwd0cY3lg3RKlC+fH67M94XLs9yr1JxxP6+aNJjBR9KdilBktLw2fcl4gesgiv5lxG9IA4YWM2996XCLWn7KmSP6HNrQgwKE5MKAv7sIGIT/ABSwwT1oC7S2QYqMOt6jNGD4NF/4IIvzgdmYIrc/zI6NPZkziNOYCodifg0v81liZ0QAQx1wkXK8DvzAF8PqosBh50xaa0LcgziASzphaCrp4CEV6THymaVX262oIrf1R0+M7PNLbjrnA4ZY+mb+uKvK6aiIzebqo42b7PvQ4vN1bCfCHiJL5fvrMhLMi0k5lwrh8u0PcD6p4xSOcTmxPZ/OZe4jtMRpykHT+WXpe+DV3zump25eTGoSBNale82ZSM4GZ5xJ2DNmlY+cQNB0o2wbU590UjoX3XdNx3LItw90cI65EfJydWRd0LvngU1gMxpqJf8r4wUzLMAm4Fw3Gb8slS11HEY7yNsEgU1OJADkEqm5zfI/e6l9hYab7eDvUdigyWDXcX2s1/ciKq1r0A30fu2GcxFJ8fuY7AeuLOnOXLtXAsGw53thOS/yQmkgG54Et9rxEie58cU2iigoY6oC4vjeMiG19BGpvrm01ixCd9PzzpDE3ayidYXV4+Bn056iswM5BqMlmN8vMlPVFLAxOJk82+ftjVfCQ5EtSmUwy1PwPVtzphcRNph1+mx4M/xbq+thiQOpucaTtslemnuXbHGHEiL5IcGZmuTb+vLosexvOIdJg7Yy/1LXo408ciQlQy/4MQ2NlEY/h9Mt5FNGcHz46GhesbbJKRxjZpK/Fk+FlUcUjCnCc0F7Rrl/p81pvLenp7B0vVdP/H53ApOx21BL3LI0bPhbmsIiMzbQPDXv6eFLN0yozFiVKIytfaCneW+nxTE0nSpN+yOamqt9DsNAvfE9M+t7rHI0GbO63vbOjpg7H29HCQdueZvsh/pvEIjsteDGGRqUJLSX82oYvgxCjGyhbbJtcwh+mCYK50kXjdz6D5obAPllGayICUVmqoE3I56Oy0wj7lkmNkYjzkIIpZB2RfvicyWnYNXDQpPkmL6sE6pK2gNzdk/dfp41hcVc4BS5Wzv3KdZbiozYfV5fXWIkPNMaLrZG+l2SqfJ6X9ysMhaY7+hqPR9cewNbm85O81ZkvdDpREk2tzcD+iD+3iy/AuSON1I6eL1pK6qevQzmI8bPTSlpVtm1pPmR12I4eXpT2nYl07C4y3OS6sWXofQZcVdqhohEyvzF9vE2bcRnSrcDhWH49zqWUxjvS+31laH7d0Mlhj9eyUYljC+rjGBYmxgynFLAmL6lkjpC1b00RCZ2CbVXKqDeyYEXlOv6+2FtN6GyOzL8YizFK/M8KQyVV1fjP/xVBGPxceCJvo4YJ+FNGepTQn4iTOz9Wdyb4NL4TNg+rAPW0BErd3RQnBhxqPymeugZKixE/qWtKxfXD/ezjOkl1c2+M09lLb1S9O0aSzCV/CWtKd2Q4Kn0J7ptjYSqs4K2SqLZ87cPxmFhocvQG/mqJORw0lXep8mPo3DPm2XqZNckb2KJW6rD3OTLqDsH6PMIf5kpQBddLnE509aLKF1ogoeDG79JoibJWmwf7AIywooYu+eSaQvzu+Ms5cmwwGhTB/z8/UrnnK/xsboar/KoxzNhyU2QjmOiT/8PeyJXESzjh9lYj1l10Qc80VUWznJZ4Rp5Oo+AMRkB0OWHZnK/INtkDPXS2wQrNQGsMq/Xwg6tUZi8T2m3B+VWeUNkn4DYlTKu2sHrjGUhW+RpMWnyDEwLHUpAtEj0S5PvnEVDaFkdAZINH5k4iT+oJsg6C8zni1yfB8iBg6TcSyVg2x522Jk3xxobRgrcKOvaqfMiP1fU9vbGm9Cp0k5dUaTRdsI8N7rGk/OErhjtLtMMnXGXFmEyfROAVQ5M3VVlqG66D/Mg/k03M6ZU6G8169fgr9P9YU/XSdQLtJY1FmK+38e8fDqsdMBM8ejHps96f9MTTt56iNzpRuNwm+X26QvU/uLKkQJ026SuKyVmi4Rwzh6zlQTPm0+IjOjS7dzdgYjJNw8pjVZUKycN5rBnFKOIgvfCzg8ckG3OodjnIrmiPZ/zc01qZGaRYHx3WY+V1uoFQNfGdrTSk9JvpkwhiZJk4yXXPZpi4LZ6UXTI2pYF6MRUC7rAXqDMb85f5wqfBY2IUUfzUfy/1d8EpBLKU5tqf3FrRe1UlBZpTjVZnLesRJtA8Gul9rByo4v8ImDQExnzjJyZG+bdAnTsq/GZ8XamLSl4/MyYScOCmxkP2/4kwxRUczPr33aRb/6JHltCkXZrVnLnHSELWd/RNw8AsfWKxopbqLeZUiMZVk8lUnTmL0Wc8+lFAQNTmx0eQQGiVO8u/qYWQmcVLgqrMhqxnD06Vgy3SwrsEcUFnQZN8vryDxxtYiFSqjrutk58tIqXPaNW8CkihTY1UnhWOoMndEh900ccrYllLUaktrWXs6vMdeJfsYQBFBV1stwavTfxk8ahm2meF6KuhoAHK5ukK3TPXHMoOXidEQuR2qkEdfrzJcb8m211pqgSa3FiCh1QrUj3fDtCu9scHlKkafrIb5Dtdpx7+M/kapYjNSPkKlTdbfPJCIk+n0epPESeZPuGxTW4t94Rz3FsSJzsuYwnBCkpH5LfgvKjJqc48ikl2wFnUweP5y+LuYW3RLlNuDKStgd/c4YN8P/brVFv1GQR9Wo7P8vD3b2BlYGD+TT1CMUt7LDSsF764bEf7lEb2NbwH/V1tp89xFFymnjKqtZ34zsbJShFqeVWKiLcE2+oibz3XldqnBelnETCJ6PprNBDG1X4ggEVn30PidwhyKGCTa2XAP5HWOxwyWqniF5NklN/a+DEU5ZldWd9aPMCmJ0+W5uHLKCyzD8a2Ik0a3Xm2lDXOXzETo/hkGlS2Jk3jGic5dCBXcHmCRljgRyy91GDO+74mgBxYoV8IObr6T4NGwtNEqdOnX1+J7Bw/c6ReJHb4NYXn7FC4Wqm2icpO4yzaw4Bphd0dw6TWRGghCFEPoWqc4aQVaVBuHTwPD4J9/LiobIU7CrvnJcfTOGnrEyxRxehjKIjravT1Ej7RG25hO2LisA070zELiNCGJdhRkBEkwDhEYdLANQhsvRwfJSGiNdFfspgmm3z9RQc2Ofgl5wZUQ1Nxw907fWIs7JyfHKSNEoJSbvHCm82paOcnmyPNfD2C+eydMLRKMZI8olHR+iFAh91b2JT3HzThxSifnwLptDDptXIYOJ3qaQZyUToT47ohBtPtTzxhZUxQmuMp2eVRkQjvt9TaYQ5xol/JCR5T8/gG+a3wORfrfwfaq8gibMYL0DxOnrrvJCKvIQmHfjGHOUEpPTUDY8PbocqwHTt/wQ02WW58QhuHtu+CYZrdP7kAL+kSLwME2oWgc1FyzsEgNysbrelJ9Lus5J+LiYqD7wuKShnUvN4LZ+bchTsZsgz5xakcpiXLH1JhOqS8UevNSsGdesGa78Cly4iTOSZ3zK2vj8wky4iTunntZH8ch68moNu5TBIb5I78sV92s9swmTqAiA+VRa6c7ZlabiqPNk2V2UTdegTgt76C/kGvOfirtkp592J4Pw7U78ALqBhFn48RJZp8KsjQmiVyaSZxsgkhvdIRbIAwUTT1AZyOeGSFOjHMYzgGF3GU6W0lBKKX5cDu6HjaYjC4b0XXVNU+0eQb2PNPEyZgtPYg2oY2xvIMU9dThLTjYBvNcOS/SzVtPBTschOYmI1bSu/Xt0A2/u3qRTK0OGltvyba7EdEo3OUJWjSKROFBTzD2qh3ZLit0OPcYLeLFKKueLpsgTsL6+GqTtmgUe65PkQN4tOCZer/eNuIkI05ddxtZi+X9yyjiJMBoHENBrmrzW8DTiIxo8y0hbDjadzmGHqdZJMYMR9qUzIW/yXwiwT2kyAtFAwVCJGSXNMfiVKCnYoPApG9kRrdEV9R4WwLZkbIc0mk+FCZCtP0lFv1Jz/QrLtgUIYNbOLYShaEsav9Udn4LOp+j4kzdpo1gV8dX15GlLb0FMkSLhZ48BLvyo7NmfRX96OFWUhEJ4wNUx0W5mWUmQP/S17IxcZLioOIiJkaciDiljUTxhlvwTW8nfE0b5QXKf4fWbZsh1a8iXDd9TpXEZDmkF4nUNO6L44Wao51jOSqSnEJnVNIw9KQnDthRut/nlD+skkOZSk5QReddcNoahxAXRsrkQlQsqoLDdBeLKerVLdZIqt6XlBNdvSlOj75EO0Z/6i3K6guymKrndscXxw75wJYVc3h4HWtb1UBQ4yO4HlhIDK9mVcRpdWkh9SbKKxGxVBKGpYt8s60nLkVXxqLiDbHGaSviQlxguUca33z8adA/sRy6+cRJ4wwFf4etcSEgmMXUK0o7uSHbIf2ScrurNz2N0Zdokv+pH4VJ3UjEwO0OfI8dgo/tp3TelfLyXv6CJQfLYEgvyrJlRmZRY9zeVhjDS7rhju8xHPKhiorSoe1f5e8zJE5CqJ5SkQTDEdQYR64HotAc3aFRIeIk23GR7xaztJVaUV5imkTSItT7Zht6GozBFEkR06EMZTIAafKDqwaGQpOqx6KEX4hpjjvQEztZetoNY+OVkzb9Pj2PC4Tbxjyo9fgWSg6ZgV5GqvaYHXGa/yf1SUUWioO66pg74vjMVLQZ2wwlmPFvdB8L9lXDqdQ2GNushJD22uj+AjzqHaNLM7BiKSrfYFtPmnu1KM2xVjC+08xrUjgqhf0AIXaajRDBiVWZy8Li/4r2TRgpEtNu9ecmSwfdhBYVPPFIo2OJpmQkdyBM2AZ94jQGL83SqYyIE+W3r+yM8mPLIfwOLaTC2SVdJEkgKGp6e0H3Pae7K9G5/FiUC78Dp/WF4Xx3MaXDdEOs7FyATh9MtJcBcdLbbWRzyHokTudpgdBkxQaINOQYtjas0dhtS+xR68/0XJijtA/Rn2MCgaBrz3zipGeffmWpRHHwvXoAI8rtkaVFi+uH6vv7XaD54InPd7M0aQhnEbvnorNMCxwRoUqchuGhcg5IDpFM9HopXEKqpCbtRj4fFGuRoeYY0fVTw1XniWDzlPb8GH1XlUwatmaMEBizpZUXFUfDNU7i+mEpw7s0G69ynrOS9/I2NRt3Ga6noh0O/k5cA0tTypXaVSI4HYqZSjtklKAYW28HwEpweNtjDTpgQ/J2dL3K0lT9ccfhR03KnfnESVgfPT+nK07onCuYQ98duehM8wJHeQqhGREnI2tcO5lfNP9PlbWYlaB/G+KUEYZFjc1vEU+ljG5tm4fUNmPRrATb3GiE+wso1czhPFaP/xHJLacJa4bqR0j5TcAMtXRgIc2tEe4spBR4Tb43W3daPw/Vpm8K6bZD0jBTL81MJBJrXEQfS/uhMfdf9osJd1/MwpGCpabaGn6DSHefAoK8q22hyJefDQ6Rf5uf+SxRQ7VResE2SESKyUcTQWql2fwLPOODcj81QntKg70TaoXVvTpgwqNROHGQ0h6HF6Co2Vo8WOwKy6tTqeDUHSyUUt/lduZTSrUr5y2sEQscHwtXTaRXaQT7Lw0rcqj6jHdYSraUwiwVt/jnrzQwl3dlI+KUgGCnjgi88gqw6oAloUFwYvqVEAynjoEQfu29B7vtN8Gu8VKkFaOKMHiDx/fv4UnV6VjVZDd895TH1O2h6PW1xkLSAe0v+2/Xx6LCcOxaUx3rO7hjT/mp2B7aC9LX5V9MiVuJ4CnLsOHWx/iiyCt8XLg++vnPxfd/i/1JshqMdVtGo3bu81jatRtmnC2I+r2/xf1V5/DVvHVYVmErRW1m403jb5DvQToqDZqF2YOpdKVmPElWY7A9ogFi2JiTrDBm+2wqJCD9HAFPy1gsGjUas44ko4C1C6Ys8Ue9X33Qvt82PKP/t/giEpEP3RCy0IbyUweSc0yY7SLMSspHQQUZvNpi4A6gw5JdVCw6EG3F/2AXyzRrq3uucdo2+AwMQAzdXVCwjBumshQ3sispsYswavQsHHlmDZf6hRF5LS8GTF6KoRXj9frnu2gqOhc+Ai/ZO431pencTQjtSMJNv45tPgMxeVsi0krWx+iAGUL0UCBOs9+g8Tf5hCpwg2bNxmDqTEKwEzoGJsFq8DpsGV2b6uhRKcxFozB61hEkF6D++S7CVPtEjOvshSMfW6JAwbrwWsjSufLoxpFcANYuvlg0tTPerNK8b8x2RDSI0ciVycUTH63ogC4BN1Gqvid+8PkKG3v0wzaGQYsvEBn5EG4hWzCq0BZ06BKAm6Xqw/OHcShLuz0S1kGN04SxBYiAwm2qYgwqbdooZm36dRWZ5D+FGe06YendShi8bgtG1y6o91RyhBfJeC8+Y+/3rIDocTWFIhlnAmrj/KxO6L6I8NNrm3RopR8aSnoj6Wf+UoLe//7rQ9iN8MTteatRKVgsFW3wSdoOjy7eiEJTzN0UCiZasR/qulYjUaNTMlkYlGllB83bKzH3QZ6Jnlj6tBjySZjm3YwmbkvxtFg+md7SPTnbfDAwIAZ/kZaUcZsqzj3azRR+P3kbEtNKoj7p9eyG59FbmM8k97B6OKo2lxv+inGtyF68sUPbaTPgX+M3Q92vlEv37oL14VL+Bo49bYCRgTPhqsxTEAiDKdugsS0FNTZRsA9kEyqI88WoTmnnhRGnNJbuMSr5Gr/lbYIJZE9cKjzS2gflnFS2QfW8Yb/oKcr9dRlXfsuLJhOWCKkvoCI2XbvNwFkac+9v72PVua8wb90y5P/RHouelsNfl6+otsfsUd+kPuJ8Jn1cabVcpy9Bdrg8rhXc97yBXdtpmOHvpD2jMeQzWSaAwTB19oDZyPqFI3Et7wBMnlIBOyQbuaQp9g5R2ocXNE9k7XVLgqfcxivk0CS2EzxP5EPhXy/jmsw+CfZsRC+M/DkZJevXR4Gzv8FywGQsHVoVp1TfL9oaS2Zjx4Ug6e8CKFjXCwsp3bTCowiZLRWMtca2TIPVrFH6c4AZar1PEra4uWL0oU8gyrWU+nzQrkWSvqm4DSn665Bg5ymNXnXNa/mXvj2fNRrW2/qqrz9BTtBfqoyNdxdtFqrbUjLqmnn4jGx6fRSOvIa8At52uK83zwMww6OhQYp+yv6RJtZTnS0T7fBkbEtMI7mORsAMDzRU5vufXmhgh6zPGreBxtZbdhZmW98aGIk5OLvchTJeYjDJphdOkE0XrkugIhq6NVauF4ST/oJLwhTnw7iQJPxdoCDqei0U5uwjE7bZ4BW0+WxsjdPzJ4JqIFG5FncujCMy/0M7343ZqYwwlLWhN7+XDoXdfUMZfbqjFdyWPkWxfLI1IDUcQ2lNvyLhabiYYbtHF3hHQTN3ZCRH81222d3uyRJcpHNueTTy2PulHyK2uInlyoU2fkbLM7KCZcJZ7Q3oaGzTxxyPPcO2Uqj4UXt4xbxBvkINME6w8XnIdH8JSi7Fr3PFYhjC1Qq72iIynCppyH6uGDMJNr2i0CJkJ/xL7BTs+nXaDBxX6xAmhrzG8F0bUIUIVf/jLRCycw4RUrbB1A5PlkjBCt26+xSF0GCcuEbkYXjYdcPKuqvwh7LgmorvIEDISP+GjkhmWV/CejkV9pFpMFrPwxz8svA72Yg4mTEqIUzqjUILbmDXUGvkopSdhW2qwr9SODHjltmr5rtZYWkzxvwf/IrJNKf/IB58yB8YAu/BNmRFmsj7kQK7LDYKzypWxnGXWjg5OpF2ev/1C4nez9B5qxwBjkD2Q4CqFQa2nY0vl4egs+kD85q+p1M2REv4V9ygKc6Q/Yb0rj1i9QPazv4Sy0NM1w5Ip8wh71/HY5GJIlDaPhC+/i39UXEDZXiwPaFnYfDudZ8yXwYYVsZ8145n8rmcRZyEHRRfTF4cSTvGlKZn/R1cegxFn872UIkAZhKazD2e9FMnOPlRgQITu8CZa+FDfZrKUHdygl+8lWpE5UMdNR/XfweBf902PIvBRMdedEhat4uec9C+iBUduiDgYhHYjV+AJX0yurw854yM95QjwBHIoQjQXXNLp5yA7SRPKJI+DAaUtH0Gwou7Y4hBZDiHjl3R7edxSzHlhC0mebIsILXPXZyMSYNNA3MutE3C9hnhKO4+RMh4yq6fHEacsiuMvF8cAY4AR4AjwBHgCHAEOAIcAY7Ah4wAJ04fsnT52DgCHIEPB4HnVxD98wMUr/QGVx6VQZsG5pbX/XAg4CPhCHAEOAIcAY7A+0SAE6f3iT5vmyPAEeAImInA2a1d0KfTZqR18Eb39r3hQ5Ujs98NF2YOhn+NI8AR4AhwBDgCORABTpz+KaGl38WpuDR8Y29OXuc7dIJ2n49fKgDb2sbvsHqHt/JH/g0E9GSXjrunorBrzwGk2Q/CcCceRfg3RJAd2ngWMxGOvdbiYekG6N28PD4x6NQL3Dq0BweSKmPKkS3oDVaiNRL9n1KZYvVk8uwwLN4HjgBHgCPAEeAIfLAIZD/ilBqFwdWbITh3U/Srk46oqBfovHE/Ahx1lZTYYbRJ+6zg7dUMpR/TZY6V6U4mi8mayzCpCCfVqa/cncpS/0L3JynvnaESpoGB8Wg6dTDdj5RZuaYianB1NAvOjab96iAtPByve2zH/gBHFN03CAXaJmHB9Ui406V1Wf25+qMDqk+ti30P5qCB2stZqdnWPrjfPwbn6C4idrHc3Z+DMDe5Oaa52yIX3YNjV30CrnTYgOTtXansKav8Yofq86ph5wW688fEwbzUqMGo3iwYuZv2Q530KES96IyN+wMgE5GmR1QRa60P1n7mBZ+W5hO8m8H1qKjGJbox2xWlru7EBesA7N7hDu1tQ+xg5qR9VJ7eC81YVZubwahH5eEv1XSFa6mr1H9rBOzeAXfFnbKsUymxgQiMb4qpgzN/yDxdgyFGH0FkICt3rdGHDTWw4uRm9KFSoGofueyq0j0K1iPLYP3CQth+qTZmjiTdySJlSb/7M4LmJqP5NHdUvLoIPbrOxx+VP8f9y59h5NaNGGDkTiaheUb81/uh56BXmPmS9CGLsTM5xMRt8OjUF2ttVuGlyqWMwrMZyvw54pZOwj4rb3g1M1/3MoQ+S+0HXcI5rAyaLHwB558uY09vNUNB45jSCEM/W4ujdA9V2c7AZuFm+Cz4ZIhhFrTBX8ER4AhwLaqj5QAAE4VJREFUBDgCHIEPCIHsR5wUt7azC7/0Lu+i8oeOfpbYtKGP5l6GaAyzaIKFqXnQYUMytnclt5Nd6vVDDeF2Y+UVKoLsUuhyrta3MS3WJ9PlDeWls8uzi8Vcc2Pn36Kj+X4/4q3vrzb9TeV7aciEScej/bGPHHyBLwoXjA3EQVhjsuZGbTaWmtf88TK0lemu65VTZpfLVUfU0Nt0ua+a45eOExPqYZ7tHvNLccovzUsnYpy3H4ofoMvr2LXXrBSoox8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}
},
"cell_type": "markdown",
"id": "e6b49fa6-75f0-45cf-b9e8-d4ae8a2cfdd8",
"metadata": {},
"source": [
"# Purpose\n",
"* reproducing the schemantic of the multinomial parameter learning (MPL) model found within [Bayesian network approach to multinomial parameter learning using data and expert judgments](https://www.sciencedirect.com/science/article/pii/S0888613X14000371?ref=cra_js_challenge&fr=RR-1) [1]\n",
"\n",
"![image.png](attachment:7cac341f-aa49-453d-8170-ed5f8c385839.png)\n",
"\n",
"* The only change made was switching out the distribution for the $P(N)$ node to a truncated normal having only positive values from the $N(0,1)$\n",
"\n",
"[1] Zhou Y, Fenton N, Neil M. Bayesian network approach to multinomial parameter learning using data and expert judgments. International Journal of Approximate Reasoning. 2014 Jul 1;55(5):1252-68."
]
},
{
"cell_type": "code",
"execution_count": 4,
"id": "53562122-ae3b-4b2f-b44a-75eb4bebd1ea",
"metadata": {
"tags": []
},
"outputs": [],
"source": [
"import pyAgrum as gum\n",
"import pyAgrum.lib.notebook as gnb\n",
"import numpy as np\n",
"import itertools\n",
"from scipy.stats import truncnorm,binom"
]
},
{
"cell_type": "code",
"execution_count": 5,
"id": "bd2f3fd6-18d7-4440-99d0-4f45c2ff1631",
"metadata": {
"tags": []
},
"outputs": [
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"source": [
"bn = gum.BayesNet(\"MPL\")\n",
"\n",
"# Number of states\n",
"r = 4\n",
"\n",
"# Range and number of bins for each variable\n",
"N_min_val, N_max_val, N_num_bins = 1, 11, 11\n",
"min_prob, max_prob, prob_bins = 0, 1, 15\n",
"Nk_min_val, Nk_max_val, Nk_num_bins = 0, N_max_val, N_num_bins + 1\n",
"\n",
"# Add nodes P_k and N_k for each state\n",
"N = bn.add(gum.NumericalDiscreteVariable('N', 'total number of observations', N_min_val, N_max_val, N_num_bins))\n",
"\n",
"P = [bn.add(gum.NumericalDiscreteVariable(f'P{k}', f'probability parameter for state {k}', min_prob, max_prob, prob_bins)) for k in range(1, r+1)]\n",
"N_k = [bn.add(gum.NumericalDiscreteVariable(f'N{k}', f'number of observations for state {k}', Nk_min_val, Nk_max_val, Nk_num_bins)) for k in range(1, r+1)]\n",
"\n",
"sum_node = bn.add(gum.NumericalDiscreteVariable('sum', 'sum of probabilities', [0.,1.]))\n",
"\n",
"# Add arcs (edges) to the BN\n",
"for k in range(r):\n",
" bn.addArc(P[k], N_k[k])\n",
" bn.addArc(N, N_k[k])\n",
" bn.addArc(P[k], sum_node) \n",
"\n",
"# Fill nodes\n",
"## Fill P nodes\n",
"for p in P:\n",
" bn.cpt(p).fillWith(np.ones(prob_bins) / prob_bins)\n",
"\n",
"## Fill sum node\n",
"### Define the domain of the P_k nodes\n",
"domain = np.linspace(min_prob, max_prob, prob_bins)\n",
"\n",
"### Get the Cartesian product of the domain with itself r times\n",
"cartesian_product = list(itertools.product(domain, repeat=r))\n",
"\n",
"bn.cpt(sum_node).fillWith(np.array([[0.,1.] if sum(combo) == 1 else [1.,0.] for combo in cartesian_product]).flatten())\n",
"\n",
"## Fill N node\n",
"def normalize(rv,vmin,vmax,size):\n",
" pdf=rv.pdf(np.linspace(vmin,vmax,size))\n",
" return (pdf/sum(pdf))\n",
"\n",
"a, b = 0, np.inf # define the range of the distribution\n",
"mean, std = 1, 3 # define the mean and standard deviation of the distribution\n",
"\n",
"# create a truncated normal distribution object\n",
"dist = truncnorm((a - mean) / std, (b - mean) / std, loc=mean, scale=std)\n",
"\n",
"bn.cpt(\"N\").fillWith(normalize(dist,N_min_val,N_max_val,N_num_bins).flatten())\n",
"\n",
"# ## Fill N_k nodes\n",
"\n",
"for nk in N_k:\n",
" x = np.linspace(Nk_min_val, Nk_max_val, Nk_num_bins)\n",
" p = np.linspace(min_prob, max_prob, prob_bins)\n",
" n = np.linspace(N_min_val, N_max_val, N_num_bins)\n",
" pdf = binom.pmf(x[:,None,None], n[None,:,None], p[None,None,:])\n",
" pdf = np.swapaxes(pdf, 1, -1)\n",
" pdf = np.swapaxes(pdf, 0, -1)\n",
" bn.cpt(nk).fillWith(pdf.flatten())\n",
"\n",
"gnb.showInference(bn)"
]
},
{
"cell_type": "code",
"execution_count": 6,
"id": "53ae9bb7-f484-4097-bfeb-2c9c4d6c8d9e",
"metadata": {
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},
"outputs": [
{
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"BN{nodes: 10, arcs: 12, domainSize: 10^10.3635, dim: 57951, mem: 853Ko 456o}\n"
]
}
],
"source": [
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},
{
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"id": "016a5b06-4a85-420a-8a3b-1860c6bf33a1",
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"source": [
"gnb.showInference(bn,evs={\"sum\":1,\"N\":10})"
]
},
{
"cell_type": "code",
"execution_count": 8,
"id": "fb201d02-8284-47ce-b75d-ebde46dab68e",
"metadata": {
"tags": []
},
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" <use xlink:href=\"#m01e085104f\" x=\"159.53356\" y=\"143.0355\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
" </g>\n",
" </g>\n",
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" <!-- 0.6429 -->\n",
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" </g>\n",
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" </g>\n",
" <g id=\"xtick_11\">\n",
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" <g>\n",
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" </g>\n",
" </g>\n",
" </g>\n",
" <g id=\"xtick_12\">\n",
" <g id=\"line2d_12\">\n",
" <g>\n",
" <use xlink:href=\"#m01e085104f\" x=\"187.837908\" y=\"143.0355\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
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" <use xlink:href=\"#DejaVuSans-37\" x=\"286.279297\"/>\n",
" </g>\n",
" </g>\n",
" </g>\n",
" <g id=\"xtick_13\">\n",
" <g id=\"line2d_13\">\n",
" <g>\n",
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" <g id=\"text_13\">\n",
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" <use xlink:href=\"#DejaVuSans-31\" x=\"286.279297\"/>\n",
" </g>\n",
" </g>\n",
" </g>\n",
" <g id=\"xtick_14\">\n",
" <g id=\"line2d_14\">\n",
" <g>\n",
" <use xlink:href=\"#m01e085104f\" x=\"216.142255\" y=\"143.0355\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
" </g>\n",
" </g>\n",
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" <!-- ... -->\n",
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" </g>\n",
" </g>\n",
" </g>\n",
" </g>\n",
" <g id=\"matplotlib.axis_2\">\n",
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" <g id=\"line2d_15\">\n",
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" </g>\n",
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" <path id=\"m204c2fa2eb\" d=\"M 0 0 L -3.5 0 \" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
" </defs>\n",
" <g>\n",
" <use xlink:href=\"#m204c2fa2eb\" x=\"26.503125\" y=\"143.0355\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
" </g>\n",
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" <use xlink:href=\"#DejaVuSans-30\" x=\"95.410156\"/>\n",
" </g>\n",
" </g>\n",
" </g>\n",
" <g id=\"ytick_2\">\n",
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" <g>\n",
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" </g>\n",
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" </g>\n",
" </g>\n",
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" <path d=\"M 26.503125 32.1555 L 221.803125 32.1555 \" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n",
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" <!-- 32.68% -->\n",
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" <g id=\"text_20\">\n",
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" <use xlink:href=\"#DejaVuSans-2e\" x=\"63.623047\"/>\n",
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