{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Matplotlib的科学绘图样式\n", "\n", "Matplotlib styles for scientific plotting\n", "\n", "https://github.com/garrettj403/SciencePlots\n", "\n" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "ExecuteTime": { "end_time": "2021-10-02T22:16:44.149699Z", "start_time": "2021-10-02T22:15:30.753565Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Collecting SciencePlots\n", " Downloading SciencePlots-1.0.9.tar.gz (10 kB)\n", " Installing build dependencies ... \u001b[?25ldone\n", "\u001b[33m WARNING: Missing build requirements in pyproject.toml for SciencePlots from https://files.pythonhosted.org/packages/c2/44/7b5c0ecd6f2862671a076425546f86ac540bc48c1a618a82d6faa3b26f58/SciencePlots-1.0.9.tar.gz#sha256=2b002f263734a718acdf1e5be57f0de5ee887e70517dfbe1118a27d0ee3dfb0f.\u001b[0m\n", "\u001b[33m WARNING: The project does not specify a build backend, and pip cannot fall back to setuptools without 'wheel'.\u001b[0m\n", "\u001b[?25h Getting requirements to build wheel ... \u001b[?25ldone\n", "\u001b[?25h Installing backend dependencies ... \u001b[?25ldone\n", "\u001b[?25h Preparing wheel metadata ... \u001b[?25ldone\n", "\u001b[?25hCollecting matplotlib\n", " Using cached matplotlib-3.4.3-cp37-cp37m-macosx_10_9_x86_64.whl (7.2 MB)\n", "Collecting pillow>=6.2.0\n", " Using cached Pillow-8.3.2-cp37-cp37m-macosx_10_10_x86_64.whl (3.0 MB)\n", "Collecting python-dateutil>=2.7\n", " Using cached python_dateutil-2.8.2-py2.py3-none-any.whl (247 kB)\n", "Collecting cycler>=0.10\n", " Using cached cycler-0.10.0-py2.py3-none-any.whl (6.5 kB)\n", "Collecting pyparsing>=2.2.1\n", " Using cached pyparsing-2.4.7-py2.py3-none-any.whl (67 kB)\n", "Collecting kiwisolver>=1.0.1\n", " Using cached kiwisolver-1.3.2-cp37-cp37m-macosx_10_9_x86_64.whl (61 kB)\n", "Collecting numpy>=1.16\n", " Using cached numpy-1.21.2-cp37-cp37m-macosx_10_9_x86_64.whl (16.9 MB)\n", "Collecting six>=1.5\n", " Using cached six-1.16.0-py2.py3-none-any.whl (11 kB)\n", "Building wheels for collected packages: SciencePlots\n", " Building wheel for SciencePlots (PEP 517) ... \u001b[?25ldone\n", "\u001b[?25h Created wheel for SciencePlots: filename=SciencePlots-1.0.9-py3-none-any.whl size=6483 sha256=488be09dfb62ffef77dcdc16a4e8274eb6e1341c7e5a64fa6dccb2931a00b19f\n", " Stored in directory: /Users/datalab/Library/Caches/pip/wheels/37/f8/e9/b2f53a40b336388dfc57b108150daff7d6ffbbfc618dba3924\n", "Successfully built SciencePlots\n", "Installing collected packages: pillow, six, python-dateutil, cycler, pyparsing, kiwisolver, numpy, matplotlib, SciencePlots\n", "Successfully installed SciencePlots-1.0.9 cycler-0.10.0 kiwisolver-1.3.2 matplotlib-3.4.3 numpy-1.21.2 pillow-8.3.2 pyparsing-2.4.7 python-dateutil-2.8.2 six-1.16.0\n" ] } ], "source": [ "!pip3 install SciencePlots\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "SciencePlots库需要电脑安装LaTex,其中\n", "\n", "- MacOS电脑安装MacTex https://www.tug.org/mactex/\n", "- Windows电脑安装MikTex https://miktex.org/" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "ExecuteTime": { "end_time": "2021-10-02T22:18:03.675979Z", "start_time": "2021-10-02T22:18:03.673071Z" } }, "outputs": [], "source": [ "import matplotlib.pyplot as plt\n", "import numpy as np\n", "\n", "plt.style.use('science')" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "ExecuteTime": { "end_time": "2021-10-02T22:18:05.564168Z", "start_time": "2021-10-02T22:18:05.559997Z" } }, "outputs": [], "source": [ "def function(x,p):\n", " return x**(2*p+1)/(1+x**(2*p))\n", "\n", "pparam=dict(xlabel='Voltage(mV)',ylabel='Current($\\mu$A)')\n", "\n", "x=np.linspace(0.75,1.25,201)" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "ExecuteTime": { "end_time": "2021-10-02T22:21:06.956757Z", "start_time": "2021-10-02T22:21:06.613949Z" } }, "outputs": [ { "data": { "image/png": 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xcXHWBAULCxcuZMGCBXaLc/V6+y29kpKSiIyMJDU1tUZKuiXrr7b3ZBmfmJhYw3OLj48nISHB+rOje0okbQ2TycSfP//Bt58vZe+ZoxjNaeWg0MfFm2n+R5kxKgN3X6D/TTDyMUTQCL488QvxG+4mu0Itto3w68fLA+5ialDDFN8MVSbeWLWbBd/sxGA04e/txsu3RHLLpNDzWrTbkkhlChu0ZmWK6lhEaS37P3l5eXZFaVNTU0lISCA1NRVQEx7i4uLqGDO9Xk98fDxarZbw8HD0ej1RUVFERkai1WqJioqq4cnp9XrmzJlDYGAg4eHh5ObmWu/v7D0lkrbAyZxTLHvnI9Zv3UxhtU65PhpPxnlUMTtsEyFhZ8DVAwb9E0Y9AZ1CSSvYx8N732NjwW4AQr2681K/O5nV/WI0SsP2v3ceyeeexX+x7bC69zVtZA/eunNsm6qJskV9yhTSUNmgrRgqiUTSshirjPz87c+sXPE1mfnZCHOvJw0a+rl6M6NzDlGDN6LxFeDmC0PuhRH/Ap9gcipyeerAxyw5/jMAPi6ePB16E/8KucGhWKwtKquMvPrDbhZ+v5MqoyDAx52F/4hk9sS+7cKLkhJKEolE0kAOHTzC0sRP+HtXBqXGs72e/DVeXOTrxo0X7KRz1z2gAB4BMPxhGPYgeAZSYarkjaxlvKj7kmLztbcFR7Gg/1308Gy46Ou+4wXc/f4Gth5SvagZkb144/YxdNN6NcuztgWkoZJIJBKgsqKS75at5KeVP3Cs4Lj1uKviygUunlw/qBPjL9iMUrFDPeHeCUY8BiMeUd8Dv+dtJ273G+wrPQbA2E4DeWvQfYzTXtDg9Qgh+OjXg8z7MoOySiMBPu68dvtobhgX0i68qIYgDZVEIunQ7Nq6h+WfLmfL3gwqqxXldtF4c5m/F9EzBuHntgrOrIAKwNVHNU4jHgPPAADOVBbwxP7F1jBfN/cA/jtgDrcEX9bgfShQRWTv/3ATq7dkA3DpkO4sih3f5veiGos0VBKJpMNRVFTMis++5ZdfUjhVfNJ63F1xZyQKMSNCGHbzlXDsPTj0b/WkiycMewBGzQWvLoDq9Xx6PIXH9ieSayhEQeGeXtN5qf8/0bo1rvngT9uyuXfxJk4XluPuquH5WSO57/KBaDQdy4uqjjRUEomkQyCEYNP6dL5e9jW7M7fX6PXUS/HmcrcKZsZMxePKGbD7VfjzahBGUFxgSBxE/h/4nFWLOFx2krt2vcbavC0ADPMNZdHgh5mgHdyo9ZVVVvF/S7eQmHoAgMG9/PnwnokM7RPQhKduH0hDJZFI2jV5Z/JZ+kkyf/z5G/rSXOtxL8WTsVUV3BjqTegd98DYybDjTfh2JFQWqoP6Xg0TFkLAIOt1Qgg+yF7No/sWUWwsw0vjwXPht/KvkOtx0zTuI3V/TiG3/m8du4+pRcP3XT6Q52eNxNO99atLnAukoXJAe1RPl0g6AiaTid9+Xsd3X3/PgSN7MJnTyhU0hCmeXFWRzRVTxuJ62yPQOxyyf4XlI0G/V52gSwRMfAV6Xlpj3qPlp7h71+v8nJsOwIXaISwZ+jj9vHs2eq3LNxzioY//pqSiii6dPEmMHU/U8B6Nnq8tIdXTm4HWpp4ukUgcc/xYDl8tWc7GtD8prii0HvfTeHNhZTGzjQcJvulOmLUYtEFQkgMpt8CBL9WBXl1hQgIMvA2qJUFY9qIe2vcuhVWleGrc+U+/O3g45DpclMZ9iS2vNDL3i3Q+/vUgABdd0JWP7r2Q7h0o7dxZ9XRZ8GsDS8FvdfV06VFJJK2Tqqoq1nyXwo8/rOTwiUxrrycXXBigeHBt4QEuCjCgueMxuPpW8PAEkxF2vgN/P2MO8ykw9F4Y+6I1k89CgaGEe/a8ydITvwEwzn8QS4Y+ziCfPo1e88EThdz29np2HNGjKDD3mqHMu25oq+sX1dJU96jMjoEs+G0orU09XSKRnEV3IIuvPl1O2pa/KK86W5Qb6OLH5PJ8YvI2EDRwIDzxIlxyNViMgP4A/HIHnNig/tx1DEx+F7rW7SDwd8Febtz+ElllJ3BRNLwQfjtz+87CVdP4L66rt2Rz9/sbKCwzEOTnwYf3TGTKMOdberQnpHq6RCJpd5SXl/ND8ipWr1nN8TNHrcfdFHeGKG5cn7+LMcX7UIaPg+eWwaRpYCmOFSbY/j/YNA+qysDNTw3zDY6FWobHJEy8eiiZpw5+TJUwEuLZja+Gz2t0Rh+AySRY+P1O/vO1WjA8vn8XPrn/QnoEdszaqIYgDZVEImn17N29j6WfLSd9exoGY6X1eDevrlxWdprrj6/Fz1QKIybAvWtg4uVnDRRAQSb8+k84/of6c68pcOmH4BdS515nKgv4x44EfspVm4PGdJtM4uBHGl0XBVBYZiB20UZWZqiKFXOm9OflWyJwd5VbCs4gDZVEImmVlJSU8MO3K1m1cjWn8nKsxz1cvBnRPZSYE5sYevAnFICwC+DRhTB5ek0DJQTs+QjWPwRVpaqqxMRX1LooGzJEWwszuXbrcxwuP4mnxp03B93LnJ5XNUmyaN/xAm5+cx37cwpxd9Xw+u1juO3i8EbP1xGRhkoikbQahBBs37ad5KVfk7E9HaNJLcpVUAju1IcpERHM3LUc379fUy/o3B3ufwGuvRNca32cVRbC7/fAga/Un3tcApd9BJ1Cbd77q5xfuWvXa5SZKgj36sE3I59lmJ/tsc6Suv04t7/zJ4VlBnoEePHFQxcxOrxzk+bsiEhDJZFIzjv5+fmsXrWGlT+sJFd/xnrc28WPof1GEX39NIalfYXy+f1gNIKXN9wZD7c/Ct42QnKnM+Dn2VBwUFWWGPeiKn1kQ3evymRk3oEPeeVwMgDTgkbz5fB5BLj5NemZFqfu54nP0zGaBBMHduGzBybR1b/jpJ43J9JQSc4LtRs0ZmZmMnv2bCIiIs730iTnCKPRSHp6Oj9+/yOb0zdjEpZeTy4E+4Vw2cWXMePGK/A/sAn+fS2cMCdPTLkOnnwTuve2PfHeT+H3WDBWgG8fmPoVBE+0OTTPUMiN218iJTcDgCdDZ/NivzsaXRsFYDSZmPdlBu/9vB+AWy4K4607x8j9qCYgDZWkRUhOTmbOnDlkZWXV6TYMMGXKFObNm2ft9qvX64mMjCQlJYWwsLBzvVzJOeTEiRP8/PPPrFm9hrz8POtxP9cA+gcP5trZ1xB5yVBcKsvhtbmw7F11QM++8NTb6j6ULUxVsOEJ2P6G+nPIDJjyCXgG2hyuK83hqoyn2Vd6DG+NB0uGPkFM98lNerbCMgN3vvsnP29T24Q8FzOCR2cM7nBtOZobaagkzUb1tvR5eXno9Xqb4xITE9HpdDVa0mu1WqKjo4mJiSE9Pf1cLVlyjqiqquKvv/5i9erVZGRkYBEacFXc6OrRm8ihY7ly9hRCh/ZSP9S3b4Inb4GjmeoEs+9TkyW8fWzfoDwXfpoF2b+oP4/+N4x51maoD9T6qBkZz3DaUEBvzy78OGo+w/2a9gXpWG4J0a/9zq6jerzcXVgcN4GZYxpfFCw5izRUkmZDq9WSlJQEwMKFC0lOTrY5LikpiaioqDrHx4wZw8KFC9Hr9Ta9MEnbIzs7mzVr1pCSklLji4vWrQvdPEOYNOlCLrp2DN1DzAkGQsCXb8N/H4UqA3TrBS98BBOn2r9JYRb8eCXo96lZfVM+hfDr7Q7/7tQGbtq+gDJTBaP8+vHjqPmN6rxbnT3H9Fz3ym9k55XSzd+TZf+6mMiwps0pOYs0VA6QorQtQ2pqag1vyoLFONk7L2kbVFZW8ueff7JmzRq2bdtmPe6u8aCbRwjdvEKImDCci66LpEuvamG50hJ4PhZWmXX3pkbDc4uhk4MvLacz4MeroOwk+PaG6asgaKjd4R9lr2HOrjcwYeKqzmNZNvxpfF2bluCwcf9pZr/+O/kllQzs0YlvHr+U3p3teH6SGkhR2magqaK0QghKK43NvKqWxdvdpUXj6ZZv1YGBtvcNAHQ6XYvdX9JyHD58mDVr1pCamkpRURGgppUHeXeni0tvAt27Ez6sD1G3TKBr71rexvHDcP90OLhLTTN/9L/wj4dt1jpZOfITrLkBqkogaDjMWA0+9lXHXzuUzGP7EwG4q+c03r/g4SZJIQGszDjGHe/8SbnByNh+nUl69GICfT2aNGdHwllRWmmoHFBdlLYxlFYa6T5neTOvqmU5sXgWPh4t92eRl6duntsK7VmMV25ubp1zktaJwWBg/fr1/PDDD+zevdt6PCgoiJCA/rjkdsLTxZvA7v5E3TKRfiP71P0itG8b3HslnM6BLsHwynKImOT4xrpv1PRzk0FVmZj2Nbh3sjlUCMG/Mz/hRZ3qqT3RN4aE/nc3+QvZkt8O8vDHaZiEYNrIHnxy/yS8W/DfTnvkmWee4emnn64uSmsT+Vt1gBSlbTnsJVpI2gZ6vZ6VK1eycuVK65cPjUbD+PHjGdZ/FIf+OEOpvgKNu4YLZ0Zw4TWjcLGVnr3pF3jkOiguhH5D4b3V0L2X45sfXA4pN6vdd/vNVvekXNxtDhVC8Pj+RF47vAKAl/rdyZOhNzbZSL36wy6eS1LDmrdODuOtO8fi6tKxlM+bAylK2wrwdnfhxOJZ53sZDcK7hTuKOgr5WT7wgoLkJnRrJSsrixUrVvD7779b9xUCAwOZPn06V1xxBTvWZrLhB7U1e5deAVwddxnBoV1sT5ayAubepCZNRE6Gt75zvB8FsP8LWHubKjA74FZVacJOV93aRuqdQQ9wX59rGvfg1eZ8ccV2Fn6/C4DHrx7Cv6OHy/TzFkYaqhZEUZQWDaO1RSwhP4tRqo7Fy5J1VK2P48eP89lnn/Hbb79ZU8sHDRrEzJkzmTRpEsII37ydwsGtRwAYO204l84ai6u7nb//336AuTdCVZWaNLHgM7VPlCP2fwmptwICBv0TLkmso3puQQjB3P2LrUbq/QseIq73jEY9e/U5n166hf+tVrsAvzB7JP+a3ng1dYnzyE9RyTknKirKZujPYrxspa5Lzg8FBQUsWbKEn376CZNJVY646KKLuOGGGxg0aBAApUXlLHtlFcczT+Hq7sqMOZcwZEI/+5NuTIXHYlQjddXN8NKnUF/45/Aq+OV2QKhtOS5+z26NlBCCJ6tJIr3XDEbKZBI89ulmPvjlAACv3BpJ3NSBTZpT4jzSUEnOOTExMcTHx9c5np6eTkREhKyhaiWsX7+et99+2/qlYuzYsdx+++2Eh59V/i4vqeDLl3/g5OFcPH08mP34lfTq393+pFv+hIdnQmUFXHYtvLikfiOV8yf8FK0qT/S/2aGRAliQtZSFh9QkpncveJB7mmikjCYT93/4N1+s06Eo8L9/juN2qX5+Tmm3hkpRFC2QAOiBTCAcWCaEyDivC5MQGxtLQkICycnJNSSUli9fztq1a8/z6iRGo5ElS5ZYi7dDQkJ48MEHGTq0Zn1SZbmBpf9dxcnDufh08uKWp66uWRdVm4O74L6roKwULrwC/rsU6ktWyt0Bq2aojQ77XAmXLXFopBYd/ZGnD34MwOsD7+He3lc79cz2MJpMxC7ayPKNh3HRKCTGTmDWxL5NmlPScFq9oVIUJRpYDIQKIRqSKrYWWCCESDbPowXSFUWZKoSQhTotRFxcHHl5eaSmpgKqpl9YWBhTp04lNjbWOi49PZ0FCxZYa6bS0tJYu3atFKU9zxiNRl5++WXWrVsHqN7vrbfeirt7zaw6YRJ8995asg+exNPHg5uenOHYSOWdhgeuVrP7IibB61+Dez31RiXH4cdpUKGH7hfCFcngYt+wLT/xO/fu+R8A/xd2M4+E2FencAaTSXDfB5tYvvEwri4KS+67UEoinScUy8Zoa8JsVBYDeUAgEA0EOGuoFEWJBRKEEAG1jicAUUKIyHqudwMqKysrZXq6pMMghODNN99kzZo1uLm58eijj3LppZfaHPt7chrrv03HxVXDP566hl4DHIT7DAa4ewpkrIPe4fDlJtDWk9lZVQbfXgyn0iBgMFy3HjwD7A5fm7uFKzOexiCquKfXDN694MEmZeKZTIKHl/zNkt8ycdEofHL/JGaOsaPWLmkyBoPB8mXIXQhRR6aiVYzjccAAACAASURBVCb+CyH0QogYIUQckNaIKWKAVBvH04AIsyGUSCTVSE5OZs2aNWg0GuLj4+0aKd2Oo6z/VhUOvuqfFzs2UgBvzlONlI8fvP1D/UZKCPj1btVIeQTCVT84NFK7iw9zw7YXMIgqZnW7mLcvuL9JRkoIwROfb2bJb5loFIUP7pkgjdR5plUaqmbAXtqYvp7zEkmH5PDhw3z66acA3HvvvUyaZFsZorSonB8W/QpAZNQQhk+uJ/Nt7bfwyavq+xeXqC3j6yPjZTjwpVofNS0Z/O2XK5ysyGd6xv9RUFXCJO1QPh32RJN6SQkheOqrLSSmHkBR4L0544ge37fR80mah3ZnqKp5S3ULdc4iC3UkEjNGo5HXX38dg8HAmDFjmDHDfpbcT5+so1hfSlAPLVNuGu944lPH4dm71Pe3PwZRTuwZHV4Fm55W30/6H/S07dUBlBkrmLn1WQ6Vn6Sfdw++HfkcHhrbChXO8kLydt5eo9ZJvXXnWG6eJD8qWgOtPpmiEVh2dG3tZ1mMl1PSB7YUfaWSuqS98euvv7J37168vb156KGH7IbNsnYeY/dfmSgahWvuuQw3Dwf7tyYTPHMnFOTBBRHw8Ev1L6T4mKo6gYAh98LQe+wOFUJwx85X2FSwl0A3P1aOepEgO1p/zvLW6j288oOqOPHqbaO54xIHtWCSRmNRTK9Oferp7c6jqkaT96F8fHxwd3ev8d/8+fObY20SSatACGHtGzZr1iy6dLEtd2SsMvLTp+sBNeTXI6yr44mTE2HDz6raxMufg1s9no6pClJvURsgdomASa87HL7w0HKWn/wdN8WVr0c8ywCfevQB6+GrP7N4+itV+un5WSOJjRrQpPkk9pk/f36dz1VHgrTQPj0qRyE/i7fllDy3RT29Oo1VUpdIWiMZGRkcOnQIT09Ppk+30+IdSE/dRe5xPd5+nky+YYzjSU9mw+vmgu5HXnZuX2rzfDj+B7j5wtSl4GI/dT0lN52nDqi1Um9fcD8XBw6vf34H/LztOPd98BcAD0wbxL+mO7FeSaOxKKZXp8Oppwsh9ObQha2iDouX5VQdlVRPl7R3VqxQtfCmTZuGn5+fzTGGCgMbvle9jYtjxuLlU0/900sPqPVSw8fBTQ/Uv4jsX1VDBXDxItD2tzv0UNkJbtz+EiZM3NVzGnN6XlX//A74++AZbv3fOqqMghsn9uU/N46SArMtjLOK6dVpr+5BKrZDf4HVzkskHZqTJ0+SkZGBRqPh2muvtTsu45fdlBSWoe3ix4j6svz+WAW/fKs2P3x2cf3ySBX6mkKzA262O7TMWMH1W18gz1DE6E4DeHvQA00yKnuzC4h+9TdKK41MHR7Mu3ePR6ORRqo10l4NVRIw2sbxSCCjgQoXEkm75K+/1HDXkCFD6N7ddi2UobKKjT+qfZcmXhNhu6fU2cHw30fV97c8DAOG1b+IDY9DSTb494eL3nI49OG977Kl6CCd3fxZMeLfeNrpQeUMx/NKufa/v5JfUsno8CA+e/Ai3Fzb68dh26dN/59RFEWrKIpQFCW9+nEhRCKQZ5Zfso4FZgFzzvEyJZJWycaNGwEYP95+mvmOdfspKSjFv7Mvwy+qJ8Hgq3fg0D4I7Apxz9S/gKMpsOdDQFH7SrnZ36NIOvEHi7NXo6Dw1fB59PGqJ5nDAcXlBma9/jvZeaUMCO5E8qOXyHY8rZxW+39HUZRFqKE6S3HuWkVRdECK2RBZ9qN02N5zigTmKYpiKYQYA0yRorQSCRQXF7Njxw7AvqESQpC+Vk3XHjttuGNvqlAP77+gvn/oP+Dn73gBhmL4zfydcdgDEGy/9fyhshPM2a1mAT4ZOpuooMbrQRpNJu56bwPbDufT2c+DFY9fQpBfPXtukvNOqzVUZvkkZ8bZ1Ns3h/fq9pKQSCSkpaVhNBrp06cPPXv2tDnm2IETnDqSi6u7K8MuqmdvaskrUKSHfkPg2jvrX8Bf86DoMPj1hfH2a6wMpipu2r6AgqoSxvtfwPPht9U/twOeWbaVVVuy8XDTsPSRyfTt4tuk+STnhjYd+pNIJI3Dsj/lKOyXnqp6U0Mm9HOc6XfmJHz+hvr+gRed6y+14231/aUfqCnpdngu8zP+KtiDv6sPXw2fh5udtvPO8NGvB63ded+7ezzj+tuuGZO0PqShkkg6IJaw35gxtmuiSovK2bNJjahHRg1xPNmHL0NZCQwbC5fNdDzWZIQ/7lffX3AX9Jpid+gG/S4WZC0FYPHgf9HXqx7xWwf8uvMEj36i6ls/ff0wYib0bfRcknOPNFSS80JkZCQLFy60do/NyMggLi7OqpIgaTlyc3PJy8tDo9HQv7/tmqW9aTpMRhPdQoIIDnXgeeSdhhWJ6vsH5kN96eJ7PoDcbeChhfEv2x1Waiznjp2vIBDcFhxFTPfJ9T2WXfYdL+DWt9dhNKm1UvEzh9Z/kaRVIQ2VpEVITk4mICDAaohqo9PpiI+PJyAgAEVRiIyMRKvVWjv+SlqO/fv3A9CnTx88PT1tjtm98SCghv0c8sVbasfewZEwYarjseV5ZwVnx7wAXp3tDn36wMccKM2mh0cQbw66z/G8DigoreTGN/6goNTA+P5dePuucbKgtw3SapMpWgMWoUQpROscer2eOXPmEBgYSF5enl0jBRAWFkZUVBQ6nY4xY8YQHR1NWJhUqj4XWAzVgAG2082L8ks4vPc4AIPHOzBUxYXwldpRlzlP1e9NpT2ravkFDoGh99od9kfedt488i0AHw55FK2DPSxHmEyC2EUbOXiiiJ6B3nz58EV4uMl/x60Ji0BtRxalbTIWUVopROscWq2WpKQkFi1aZHfvw0JYWBgJCQkkJSUxd+5caaTOIfUZqj2bMkFAr/7d8O9sW1YJgBUfQFEBhA6Cy+wrWwCQuwN2vqe+n/SW2mvKBsVVZdy561UEgrt7Xsm0zvXoCjrgv9/vtGb4ffHQRXTpZNt7lJw/LAK1HVGUttmwiNJKIVpJe0EIYTVU9vandv+VCcBgR2E/oxG+Mmfu3fYoOPo3IgT8+S8QRgi7AXpdZnfoMweXoCvLoY9nV14dGOv4YRywZms2//lGTRh5/fYxRIY51dlHco6xCNR2OFHa5qSporRCCEqN5c24opbH28XznMXwExPVTXi9Xk9mZiZxcXFERDS+mFNSPydPnqSoqAhXV1dCQ0PrnC8pLCM78yQAA0fXPW/l9x8hOwv8A2H6LY5vemyt+p/GHSa+YndYRuEB3jryHQCLBj9MJ1fH37LtcfBEIXe/vwEh4O7L+nPrZJullpJWgLMCtdJQtSClxnJ8f6knXbeVUXzZd/i4erX4ffR6PbNmzUKrVbWDdTod4eHhpKSkEBUVVc/VksZi8aZCQ0Nxd6+rlafbfhQEdAsJolOgg72hL826fDfMAS9v++OEOJtAMeQe6NTX5jCjMBK3+01MmJjd/eJGh/yKyw3c/OY6CkoNjOvfmYR/yC8+7QEZ05KcF1JSUqxGCs4mV8TFOSVIImkkBw+q2Xz2wn6Z244AED68j/1JdHtg0y9quO/GejLyDv0Ap/4GV2+IfMrusHeP/sDmwv34u/rw+kD7nX0dIYTgwY/+Zk92Ad38PfnsgUm4O5J9krQZpEfVgni7eFJ82XfnexkNwtvl/G04h4WFkZqaik6nk8kVLUR2djagpqbXxmQyodtxFIB+Ix0Yqq8/VF8nz4BgB+OECf42i9MOewi8u9leU/kZnj6wBIAF/f9JsEfj9pM+/i2T5L8O4+qi8NmDFxEc4MDTk7QppKFqQRRFOSdhtLZGTEwMOp2O9PQaovc1woDSULUMx4+raec9evSoey7zFGXFFXh6u9Ozn22jgqESvv9EfR9dTyOCg8shdzu4d4JRT9gd9si+9ygyljLOfxBxvex3GXbEziP5xH+u/j09Gz2CCQOkPFJ7Qob+JOec1FTbfSstdVejR9tqJSZpKkIIcnJyANuGKnOb6k2FDe+NxsXOR8Ov30P+GejaAy6cZv9mpiq1bgpg5OPgaavhNvyat5Xkk+twUTQsGvwwGqXhH0nF5QZuf+dPyg1GLh/Rg4eulK3k2xvSUEnOObNmzarjTYFqwCIiImrsXUmaj/z8fMrLy9FoNHTrVtdjOrxH9bZCh/ayP8nXH6ivM+9Uu/jaY/8XoN8Pnp1h+CM2hxiFkUf2vg/APb1mMMKvcdl5j326mf05hQQHeLEoVnbpbY9IQyU558THx9dJmkhMTCQvL4+kpKTztKr2jyXs16VLlzplF1WVVRw3p6X3GVTX2wLgzAnYmKK+v85BKw9hgi0L1fcjHwd320XDHxxbzfZiHQGufo1u3/HFOh1frs9Coyh8dO+FdPaTRb3tEblHJWlW4uLiyMvLs4b3pkyZQlhYGFOnTiU2Vi3gDAsLsxorrVaLTqcjMDCQrKws6U21IA73p3SnMFaZ8NV6E9Ctk+0JVi8FkwmGj4feDryfw6sgf7e6NzXEdgaf3lDM/x1U97qeC/8HQe527umAfccLaiiiTxrU+K6/ktaNNFSSZmXRokVOjQsLC3N6rKR5cLQ/dWSveq7PoGD7Bd8rv1Bf6yvw3ZKgvg65Bzxsd/qdr/uCM4YCLvDpw729r65/8bWoMBi5450/Ka00csngbjx29eAGzyFpO8jQn0TSQbB4VMHBwXXOWQxV74F1zwFwaD/s2qw2Rbxilv2b5GyAnPWqCsXwh20O2V9yjLfMorOvDYxrVDPE+Su2s/Oons5+Hnxwz0RcpMxZu0Z6VA6Q6umS9oS90J+xysixAycAB/tTq75UXydcDkEOQmxbzXtTA28FH9tzPX3wY6qEkas6j22UAsX6vSd5a/UeAN6+axzdtLIEpK0i1dObAameLmlP2Av9nTh8BkNFFV6+HnTpGWD74p/NSS5X3mj/Bvl7Ies7QFGTKGyQVrCP5JPrUFBI6H9XQx+BgtJKYhdtRAi4/eJwpkc4yFCUtHqkenozINXTJe2FoqIiiouLAejevWZL9+MHTwHQs393FFup3bq9kLkbXN3gkmvs32SrWXA2dCYEDLI5ZN6BjwC4NXgKQ/0ciN7aYe7n6RzNLSW0qy8LbpY6fm0dqZ7eDDRVPV0iaS1Ywn5BQUF1uvrmZJ0GoEeYHTWHtV+rr+OmQCc7WZllZ2D/5+r7kbZVKFJzM1ibtwV3xY3n+zU8Hf27tCPWVPRFsRPw85L/Nts6zqqnS1dBIukAnDqlek22Cn1zdKqhCg61Y6hSVqivU2+wf4O9H4OxArpEQvcJdU4LIXjygKoReG/vGfT16l5njCNO6Mt46GM1Ff3RGYOlRFIHQxoqiaQDkJubC0BgYE0po4qySs7k5AMQHGojSeJYFuzJUJXSL7XTskaYYJe5e+/Q+222pF9xch3phQfwdfHiqVAH+1y2pheC+z/4i7ziCkaEBDDvuqENul7S9pGGSiLpAOTl5QF1DdWJQ2dAQKcgX3z8bWTP/fa9+ho5GQLteDFH1kBhFngEQL/ZdU4bhZH/O7gEgMdCbqCrh52EDTt8+oeOn7fn4OGm4YN7JsrWHR0Qaagkkg6APUNl2Z8Ktrc/9fuP6qujJIqd76qvg+4Et7qtNZad+J19pccIdPPj0b4Owoc2yMkv5emvMgB45oYRDOppu4BY0r6Rhkoi6QDYNVQ6de/K5v5USRFs/l19P9lO+43CLFUyCWzKJRmFkRd1ag3WoyE3NKi9vBCCR5akUVBqYHRYEA9MG+j0tZL2hTRUEkkHwL6hcpBIsTEFqgwQ0h/6DrA98a5FgIDel4O2btfg5JPr2FNyBK2rLw/0trPHZYcVmw6zaks2bi4a3rl7nFSf6MDI//MSSQcgP19NmKhuqMpLKsg/VQjYMVSWsN/kGbYnrSqHPeZuv0PrtqQ3CRPzM1V9wH+FXI+/m/Pe1OnCch7/TG0F88Q1QxjcS4oVd2SkoZJI2jkGg4GCggKgpqE6fUz1sjoF+eLlW6s9hskE68whPXthP93XUH4GfHtDSN0x35z6k10lh+nk6s1Dfa5t0Jqf/CKd3KIKhvTWSsFZiTRUEkl7x9I52cXFhU6dzrbTOHVUNVRdetnovrt3K+SeBG9fiLzI9sR7l6ivg/4JtYRlTcLEC2Zv6uE+16F183V6vau3ZLN842E0isI7d42TWX4SaagkkvaOZX8qICCghhzYqaNqbVXX3jYMlaVB4thLwc297vmio3BM7TnGwLoqEz+c/ovtxTr8XLx5JOQ6p9daUFrJI0v+BuDBKwcRGRbk9LWS9ouUUHKAVE+XtAfsJVKcPqbuW9k2VD+rrxMutz3p/s8BAT0mg39YndMLDy0H4P4+VxPo5nxTxOeTtnE8v4zwbn48ff0wp6+TtE2kenozINXTG45OpyMuLo64uDimTp3K1KlTycjIqDNOr9cTFxdHfHw8iYmJxMfH2xwnaTq2DJUQgtNmj6pO6K+sFDLWq+8nTK07oRCwT+3Oy8A76pz+M38XG/S7cVfcGrQ3la7L5YNfDgDw1p1j8XKX36PbO1I9vRmQ6ukNQ6/XEx8fT1JSkvVYfHw8kZGRpKSkEBUVZT0+ZcoU5s2bR3R0tPVay7iwsLrf0CWNx5ahKsoroby0EkWjENSjllJExjowVEJwH9tp6Sc3gX4fuHpDeHSd0xZv6rYeUQR7OBe6M5pMPLLkb4SAGyf2ZfLgupqEkvaHs+rp8hPYARb1dBn2c445c+awePHiGscSEhLQarXExMRYjyUmJqLT6axGCkCr1RIdHV1jnKR5sGWoTpkz/oKCtbi61fr73mAJ+021qdtn9abCrgd3vxqn9pYc4fvTG1FQeLxvXSNmj8WpB9h6KB+ttxv/uWmU09dJ2jYuLi5OdamQhkrSbKSmphIZGVnneFRUFHq93hraS0pKquFdWRgzZgwZGRnWLDVJ82DLUJ02Z/zZ3J/6y5wkYSvsV1UOB5eq7wfdUef0K4eSAbimy3gG+vR2an0n9GXMX7EdgGdjRtLVluagpEMjQ38tiRBQVXq+V9EwXL1tf4t2grCwMKuh0WrtF2impqbW8KYsWK6xd17SOGwaqmN2UtP1ubBfNRqMubTuZIe+hwq9WjvVs+b54+W5fHZ8LQBzQ2c5vb55X2ZQWGYgMiyQOy8Nd/o6ScdBGqqWpKoUFjtfP9IqmFMMDVAQqE56errN4xZPKiwszOot1c5Aq45Op2vU/SW2sRn6s1dDlf6H+tpvCATZaPux15JEcRsoNQMybx35lkph4ELtECZqhzi1tl925pD8l1oz9cYdY6VMksQmjfqrUBTlMkVR3lMUJU1RlAOKohjN/x0wH1ugKMrI5l6spO2RmpqKTqdj7ty5aLVa64emLY/L8kFq6Z0kaTomk6mOfJIQgrwT6heGzrUTKdJ+U19HX1J3svJcOGbevxpwa41TJVVlLDq2EoAn+jq3z1heaeTRTzYDEBvVn5F97X95kXRsGuRRKYryBDAPyATWAolAHmD5ChwIhAGRwAeKovgDi4QQrzRmcYqiaIEEQG++ZziwTAjhVB6z+fpY849BgBZIEkKkNmY9DcbVW/VQ2hKudds0NIW4uDiio6NJSEiocVzuQ50biouLMZlMAPj7qy0yivJLMFRUoWgUtF1rJkNYDdWYS+pOpvsGTFXQeSQE1FQy/yxnLfqqYsK9enB1l/FOre3NVbvJPFlEN39P/u+G4Q15LEkHwylDpShKKJAEpAChQogCB8PXAourXRenKEoaEC2EONzA9a0FFgghks3zaYF0RVGmCiGciQ8lCCHiaj1LkqIoWsucLYqiNDqM1h6Ii4sjKiqKRYsWWY85CvlZvK2gIKlG0FwUFqqis97e3tbMqrwc9Z9vQNdOuFSXJ6q+PxU5ue5kB5epr+E195+EELx15FsAHuwzE41Sf6Dm6JkSXv1xNwALbo7A39uG+oVEYqbevyizsUkApggh5tVjpGoghMgSQjwJTAUWK4rS19lrFUWJBcKqGxQhhB5IRjWa9V0fDdjaNIlH9QolLcjChQsBahgpOBvysxil6li8LFlH1XwUFRUB4Od31nPKzTHvEwbXCr9a9qfCB9fdnyo7Ddm/qO9rdfFdm7eFPSVH8HXx4o4edpQsavHMsi2UVRq5cGBXoseHOPk0ko6KM3tUUUKIWQ0xULURQuiFEJejGixniQFshejSgAizd+WIMeY5apOHGgKUtBDJyclkZmbWMFI6nc6aJGFJV6+NxXjZSl2XNA6LR1XdUFn2p4JqGypLk8TRF9edKHMFCBN0GV1HMsniTd3R43KnWnn8ue8UKzYdQVFg4T8iURqZZSrpONRrqIQQi+sb4ywNnMvep5W+nvMWUoAoRVFSahm1eageoqQFyMjIICUlpY4nlZx8NtIaExPD5s2b61ybnp5ORESEw9R2ScOweFTVVdOtHlX3Wm3dLbJJtsJ+maraBP1qhv10pTn8eHoTAA/0cdCu3ozRZCL+czXQcccl/RgeElDPFRJJK01Pr2ZY6saHzuIwPiSESFUUJRmIBvIVRYlDTcbIFEIkOrMOW0KJUqDWPjqdjpiYGKKjo4mPjwfUcF5eXh4ZGRnMnTsXgNjYWBISEkhOTq4hobR8+XLWrl173tbfHrEd+lODIzU8qtJi2LdVfT/qwpqTlJ6A42Zvq5aheufo9wgE04JGO1Xg++nvOrYdzsff241nZAJFh8QiRFud+kRpW8xQKYqyQAjR2L0gy467rdQwi/Gqd8ddCBGjKEoCMBdYBGQAC5xdhC3tqWeffZbnnnvO2Sk6FDExMeh0Ouv+VHVq7zulp6ezYMECazgwLS2NtWvXEhERcU7W2lGoHfqrMhgpOK0arxoe1fZNYDSq+n7daxkcS9iv2zjwO7ufVFxVxofZawCcEp/Vl1TyQvI2AOZdO4wunTzruULSHpk/fz7PP/98g65pSY8qiqYnLTQpBmROqAhD3RtbBEQAWYqixDiTom4Rpa2OFKi1j72CX1totdo6KeuS5qe2R5V/qgAhBO6ebvhqq5UibPlTfR15Ye0pzmb71Uqi+CJnLQVVJfT37skVnUfXu5aXv93BmaIKBgR3IjbKhtitpENgEaKtTn2itM1uqBRFuR6IQzUKjcVRyM/ibTmsCjVnDU4VQlgSKsIVRZmLuj+VpChKqDmL0C7OiCVKJK2Z2ntUedXCfjWSGLaaDVXtsF9xNuSY967CzspaCSF431zge2/vGfWmpO87XsCi1P0AJNwSgZur/MLXUXFxcWnw9kmzGCqzCkUcMAvVC1IA0dj5hBB68z8iW0U3Fi+rvjqqBNTC4+rzLlQUJRU1bT0KNdVdImm31PaozqamVwv7GY2wbaP6vrahyvoGENB9IvidDQmmFe5ja1EmHho3bu9RfzLvU19mUGUUTBvZg6jhPRr/QJIOSaO/1iiK0ldRlMcVRTmA+sEfCwSgFvtGAluauLZUbIf+Aqudt7c2LaC1VRRsVrVIxrYRlEjaFbX3qPJPqh5VYLdqhurgTigpAh8/6F+rq27Wd+pr2PU1Dr9/VPWmZnW7uN4Ovr/szOHn7Tm4uWhYcLPcg5Q0nIZKKHVC9ZosoT1L7CADEEKIMdXGNlWmKAnbaeSRQIajsJ3ZI9MrihJmR8FCiwNDJ5G0F2p7VPpT6s8B1Q3Vtr/U1+HjoXpIpkIPx39T34fOtB7WG4pZekI9HtdrusP7m0yCZ5aq2YR3T+lHv+7Ot6WXSCw45VGZRWiXAfmoSQmRQBaqykOAEGK0+WcrZkWKRmNOIc8zJ0RY1qFFNZRzqh9TFEUoilJ7Jz8GdS+qhldm3rtKcVKCSSJp09Teo8o/rXpYNTT+dv6tvg4dW/Piw6tUbb+AweDfz3r485y1lJkqGOITwkTtYIf3X7ohi+1H8unk5cbcmUOb+DSSjoqzHtWTnC2wTQAShRBZtcY0ek/KAZHAPEVRLLnNY1ClnKyitGbvSUetPStzHdUcVOmmPNRU93MrSiuRnEeqqqooLVX7ofn5+WGsMlJ4RhVJ1nap5tnsTFNfh46pOYEl7FfNmxJC8P7RHwGI6z3doapEWWUV85NV7cDHrh5CZz+Zji5pHE4ZKiHE5RaBWVTjEasoyiIhxKFqw5pdB8Uc3ot3YpzNbmtmgyZ7m0s6JBZvCsDX15fCM8UIIXB1czmbml5aApm71PfDqnlUxgo4slp9X81QbdDvZlfJYbw0Htwa7Fgc5t2f9nEsr5Regd7ce7lMR5c0Hqf3qMwe1JMAiqKMAp6spqq+nFoelaIonYQQhc24VolE0gAshsrX1xcXFxfyT1nCfp3OekJ7MsBkgq49oUvw2YuzfwNDEXgHQ9eznpal59SN3S9B62a/KeiZonJeM6uj/ztmBF7urVIER9JGaFTWnxBiixDiHiHEFaj7VsnAVHMNlQWphSORnEdqZ/xZEim0XZ0J+6lCs/S9xtrJV28oJumkqrAe2+sqh/de+N1OCssMjAgJYPaEvk14ComkGeqohBArgBXmJomzFEUxtwBtUsGvRCJpIrUTKfTmRIqALtUSKXaZDVX1sJ8wwaHv1ffVwn7LTvxGuamSIT4hjPMfZPe+mSeLWLz2AAAv3jgKjUaqo0uaRrOVhwshCoQQi83tPOqKvUkkknNKXfmks6E/KzvMGX9DqnlUp9Kh5Di4+UKvy6yHP8r+CYA7e17hMIniueVbqTIKLh8ezCVDujfHo0g6OC0SODZn3DW14Pe8Y1H0lYrpkrZI3dBfLUOlz4Vj5mTZIdW0+g6Zs/36TAMXDwB2FR/i78J9uCou/CN4it17bs48w7dpR9EoCvNvHNWMTyNpj1iU1OtTT29Jwa059Q9p3fj4+ODu7s78+fPP91IkkgZTt9jXHPqzGCrL/lTfAdCpWrlhljns1/ds2O/jbDWiP73zWLp52O8h9XySqo5+06RQBveSfcUkjpk/fz7u7u4OBWmhBdXThRBt3qOyij2MngAAIABJREFUqKdLxXRJW8TiUXXq1ImykgrKSysB0Fr2qCyGqnrYr+go5O1QEyhC1IQJg6mKz3LU0sN/9pxm936/7TrBb7tP4uai4anrhtkdJ5FYsCipn1P1dHNCxTzgbyHE18059/lAqqc3Dp1OV6PDb0ZGBnFxcdYmiRb0ej3x8fFotVrCw8PJzMxk9uzZsidVM1Hdo7J4U75ab9w8zH/Tu2xk/B1V+0vRdRx4qnKYq878zalKPd3cA7iyc63sQDNCCKs3dddl/ejTuf6W9BKJs0rqjTZUiqIsR2218TOwVghRKIQoQK2vGqUoyuNCiFcaO7+kbaLT6UhISKhhqJKTk4mJiWHRokXExsZaj0+ZMoV58+bV6PIbGRlJSkpKnUaLkoZTPevPkvHnb/GmhDibSFFdOunwKvU15ErrIUsSxa3BU3DT2P7IWJmRzWZdLt7uLjxxzZBmfAqJpGl7VJtRGxKuQG31nqYoygJFUa5Dra2qtwOvpP2RnJxMYmIiyclnO6hYDFH1RomJiYnodLoaXpZWqyU6OpqYGCkm0hwUF6tySb6+vhSYpZP8g8yG6uQxyD0Jrq4waKR6zFgJx8zqYn3UsN+JijxWntkEqNl+tjCaTNbOvfddMYiu/l4t8TiSDkyjDZUQYqEQoh9qa4/ZqK0+YlANVyb1NDaUtE8iIiLQarVotWc30vV6Vei++rGkpCSioupK8IwZM4aMjAzrNZLGU1JSAqhJQQVnVO/Kv7NZTcLiTfUfBp5mw3LiTzAUg1dX6KJm7H2Z8wtGYWKc/yAG+4Zgi6SNh9mTXYDW242Hr7qg5R5I0mFpjoLfAlRlimQAs4DsXBn2Qw2vlJWe71U0DC9vcFAjUx9RUVHk5+fXOJaaqn5Lj4uLq3Gs9p4VnDVm9s5LnMdiqLy9vSnMPQKAf2cHiRSWsF+faVY1is9yVIGZ2+zo+lVWGfnP16rw7CPTB6P1cW/OR5BIgBbI+jO3z7hH7lGhGqlx9vXQWiWbisG7+TbCLQkTc+fOte5PWbylwED7vSt1OtmFpSkIIazK6dU9qk5B5r9HW4kUFhHaPur+1M6iLLYWZeKmuDK7+yU27/Pp7zoOnS6hm78n91w+sNmfQyKBlq2jkropHRidTkd8fDyRkZFERUUxb94867m8vDygZijQgsV45ebKyHFTqKiowGg0AqqhKsw171F19lM9/T3m6pHBkepr0VHI26V6Ur0vB856U1d1HkOQe92Gh6UVVSR8txOAuTOH4uMhhWclLUNTsv7yUPehUqmW+VdtiGz17uWteihtCS/vZpkmLCyMhIQEEhISiI+PJzQ0tM6+lNyHajksYT9FUdDgQllxBQD+Qb5w4igU5quJFOHmxocWb6rbePAMxCiMfJHzCwC39rAd9lu89gAn9GWEdPbhjktsdtqRSJqFpnwFikJNopiC2qdKVGtgGIZs9a7u9TRjGK2tkpCQQGJiIjExMWRlZTkM+Vm8raAgmTTaFCxhP29vb4ryVKPl6e2Oh7c7bFJbwxM2GNxViSSOWPan1LDfb3nbya44g9bVlxldxtWZv6SiijdWqm084q8dirurlBiTtBxNyfrLEELEm9vQWzL/1gLh5v/izCnrjymKMrJ5litp7eh0Opv7S6NHj0av15OammoN+VmMUnUsXpaso2oaNTL+zGG/TpZEin1qKnnNtHRzVx6zobIoUczqPhkPTd0EicWp+zlTVEFYV19uujC0hZ5CIlFplj0qs3J6srlHlSVlfRaQBTwNZCiKcqA57nUuMRgMGAwGa6xfUj/h4eGEh4fXG9aLioqyOcZivGylrkucp3rGnzU13ZJIsc/sUQ00G6qc9ea09G7QZRSlxnJWnFwPYLOLb0lFFW+s2gPAEzOH4uoiJcYkjcNoNFo/Zx3RIn9h1QzXLCFEIKqHdU9L3KslkaK0DUer1RIVFVUnUcLiZVnkkWJiYti8eXOd69PT0621WJLGU92jKjxTLZECYK/FUI1QX4+aW8j1vhwUDd+d2kixsYxQr+5cqK2rMrE4dT+5Zm/qxol9W/IxJO0cZ0Vpz8lXISFElhCizXX8/X/2zjw+6urq/+872ck2SSBhX8K+iEjAfUEItu4boLa1dlHQ7k+rIrXpRvujaLVPba0C2qe11qrgbluF4L5DoqCAgAl7QgJJJstkme3+/rgzk0kymUwWSCY579drXjO5y3duJpM5c84993PsdjsOh4O8vLzeXkrEsHr16jbKEhs2bPBLK/lCekuXLiU9Pb2FgoXNZuPpp59m3bp1J3XN/ZEWqekVAanptdXNpT18hsqnRjFqIdAc9vvasAVt6k7VNTr93tSd4k0J3SQvLw+Hw+H/YtUeHSZTKKVu1lo/0hOL6slrnQxElLbzLF26lPz8/BaHe4uLi9m0aVObcF5BQQGrVq3ye1tbtmxh8+bNIkrbAwT3qJJgjzmcy9BRYM2Axgo4VmjaRuZy3FHNxooCAL46bH6b667bvJeK2ibGZyVxnXhTQjfpSVHazUqpV4GlWusDXVmMUmoc8DAmO1Do5+Tm5oa1x2S1Wlvo/wk9RwuPqiQg9PeRVx3dl0hxeDOgIX0GJA7jmUMv49YeZidPYHLiqBbXrGt08kfxpoReoMN3mtZ6H3Ab8IxS6iGl1NhwL66UGquUehhjpG7VWu/v4joFQegEPo8qISHBn56ekpHUnEgxybc/tcnce8N+Tx59E4DrgyhRrM33eVPJLDlr7AlbuyC0JqxzVF5ZpDlKqaVAvlJKY85JFQCVgC99y4o56JuDOWcFsFprHXGJFIIQyfgMVYwlFq2dWKIsJKUOak6kmDLLKFQc9hqqkQspaazgzSoTGlwy9IIW1wv0ppZfJd6UcHLp1IFfrfVaYK03lLcIk4KeTbMKRSXmwG8hxoOKuAQKQegP+JUpPMagJKcnojxu+MJIHjFlFtQUQe0BsMTA8PN5uuRVNJqzrdMYk5DV4nprNu2hss54U4vPDK6iLggnii4pU3jDgfd6b4Ig9DF8e1Q+Q5WSlgj7d4OjCRKTYcQ42Oktbjn0bIhJ5MmjbwBww9ALW1yrtsHJA//9HIC7xJsSegF5xwlCP8TnUXkcJr08OT2pOew3aSZYLM37UyMXsq++lA+rP8eChUVZ57W41pp8401NGJrMIvGmhF5ADJUg9EN8HpW7SQOQkp7YUpHC44IjRnSWUQt5qswkUVyYfipD45q1GGsbnDzg3ZsSb0roLbr8rlNKXROk7Q6l1MOdzQ4UBKFn8XlUrnoPYPaoWiRSHCsARzXEpcGQHH/Yr3W23yOv7aXK7hBvSuhVuvP16LrWDVrre716f7chZ6YEodfwGSpHvdGpTElPhD0BYrS+sN+I+eyqP8K22mJiVDTXZJ3jv0ajw82Dr5i9qdsvn06URbwpoXc4ke88kb8WhF7A4XD4RT6balwAJKtGqDxm9qbGT2+WTRqZ6/emvpSRQ3pMc4HEf75TTFl1I6MyBsm5KaFXCTvrTym1AFgMaG/TbKXUQ0GGpgOzMSnqEY3vn91isYQl8yEIfQHf/hRAQ7UDgOQKr77f2Mnmv/7o+wDoEfN5csfvALh+2Dz/PJfb4z839YOLpxITLd6U0PO43W48Hk/Pqad7z0QtBz7GhPWygYVBbuMx1X7bhAYjDVFPFyKRQFUKNCiLIqnEhPCYeAqUfQgeByQO5xOLYk/9YeItsVwx5Cz/NZ776CD7yuvISI7j6xdI9V7hxBCuenpnD/xWYw78VgJLtNZLurHGPo/dbicmJgaLxOaFCMLnUcXHJQCQnJaIpch4UEyYAUfeMI+Hz+NJb7bfZUPOIDl6EABaa+5/2VTv/c5FkxkU151C4ILQPnl5edx99904nc6QxqqrB343KKXSury6CEHU04VIxOdRxcXGgceb8bfTq0gxYTqUPACAHn4+T3m1/QIP+b66rYTPDtlIio/mltxJJ3fxwoAiXPX07pSiD1k0SCn1VFevLQhC1/Hr/EWZEvIpaYmwz+w3MXYClH0AwPbk0RxoLCMpKoGLB8/1z/d5U9+eP5G0xLZl6AXhZNMtn957VioXI0bbGqklLgi9gM9QRSsTDUiOcUNDPcTEQuwxcDfBoKH8s+EQYMJ+CVFxALy3u5z39xwjNtrCd780uXd+AUFoRZcNlVLqDiBUMSEdok/op+Tk5HDdddexdOlSrFYrhYWFrFmzhoULF7Jo0SL/OJvNxvLly7FarYwfP56ioiKuu+46KZrYA/j2qCyYkEqKq8p0jJsCZe8AoIfP45nydwG4NvNc/9z7vN7UV8/LZljaoJO1ZEEISXeyBOYC47XWlmA3QJTTByDFxcUsX76ctLQ0lFLk5ORgtVpbGCmABQsWsHDhQlavXs3SpUtZsWIFixcv9lf7FbqOXznd7VVOry01HRNmQInZkzqcPp3ihlISLHH+sN+nB6vYuK0Ei1L86JKpJ3/hgtAO3Qn9bfGqqLfHmm5cGwCllBXjtdmAIkzq+1Na606d0VJK+Ty/CiCjK9cQwiM7O5vc3FyKi4uZO3cuixYtIju75dnvtWvXUlxc3MJ4+YzZ4sWLKSgoONnL7lf4PCrtVGCB5ONFpiN7Mhx9FoBnY4y39eXBc0iMNtmBvr2pa84YTXZW8kletSC0z4nMOy3qgWtsBlZprTeA33AVKKUWeos5hsQ7fjOwXGud721bA6zDFHcUepjs7OwOy8uvX78+aKn6uXPncs8992Cz2bBag217CuHgF6R1APGQfMib8ZcRDeWNkJDFmtovALg2y4T9istqefbDgwD8+LJpJ33NghCK7hiqfKXU7Vrr37fTv4IgeoDh4q0mnO0zUgBaa5tSagOwnvAMzXpgq89IecnGFHg84WitcTa5TsZT9RgxcdEopU7oc+Tn57cJBQJ+49RevxAeDQ0NAFi0Cf0l7f/YdCSUA1CTOZdd9YeIUdFcNvhMAP74n114tOaimcM4ZXS/P3kiRBjdMVRLgWyl1ApMVd/WH/7dzfpbjCl335otwJ1KKavW2tbeZKVUrncNLY7Va60XdnNdYeNscnHvzY+erKfrEe545NvExnfv7NjatWsBkzBRVFTEsmXL/EkSNpv5k6Wnp7c7X/apuofPo4pS0SQMiiG6sQ7i4sFhysy/kzgYHEdYmDGb1JhEjtoaePxt85r/+PLpvbZuQWiP7hiq6zDGybeh0NNfw3OBDUHabR30+1gO2MIJEQo9h81mY8mSJX7vqLi4mPHjx7Np0yZyc3OprDTfZ4KF9nzGq6Ki4uQtuB/i86iiVAzJcd7k23FT4Jg5P/WINv2+sN+fX/kch8vDmROHcM7kzJO/YEHogO4YqmKt9Zz2OpVST3f1wt69JQgdoutInT0XKFRKzcYY1QqMd7W+VSjwhBETF80dj3z7ZDxVjxHTTbmcTZs2tfjZl1yxbNkyioqaty19npXQ8wR6VEl4BWpHZoHrE1zxg3nOUUGUJYorh5xNld3Bo6/tBeAnl8velNA36c6n0i0d9K/qxrV9caFgn2Y+45XR3uQAQwcwR2u9PKCvSil1S+DeV3sEU/TtjJK6UqrbYbT+QHZ2Nvn5+RQXF4cM+fm8rYyMdv+0Qhi0MFSNXu/UagoofmGdAEoxL+1UMmJTuPeVz6hrdDF9lJUvnTq8t5YsDCB8iumB9Jh6emu01h8rpVKUUrcrpW72tXt/TtFaf9zVawfQ3dSv2UBrz+5pYF0rYxYUn3p64E2U1Ntn8eLF5OS0zXEJDAP6HvuMUiA+L6t1OrvQOXyhv2gVTXLNEdPoTaR4KcYoUFybdS71TS4efHU3AD++dNoJT6IRBGhWTA+8daSe3p1S9OOA/cBPMeU9fKwD7lFKpQSbFyahQn6+r+TtbmQEJFkUB0m4KMAYwHbDlj7sdjsOh6PFLS8vr6NpA5b8/OARVZ8BmjPHvOS5ublBQ38+4xUsdV0In+Y9qmiSj3u3aJUp8/E3HCgUV2eew2NvFlFR28S4zCSuOWN0by1XGGDk5eW1+Vz1HVJvj+4oU/wOWKy1TicgO09rXa21vhWTnt4lAoxLsDiRzxPqKEmimOChQx8dfm33qacH3qSAYvssWbIk6GHd/Px8Zs+e7femFi9ezNatW9uMKygoaDFO6Dxut5umpibAJFMkNVaYjL9BTTTEprAzNpFzrNPJiLLywH+NUO0PL5lKdJSUshFODlFRUUE/W0PRnXfnPm8xRQiu69fds0r5BA/9pQf0h6KQ0MZIsgF7mOXLl7Ns2bIWbWvXrqWyspL169f725YuXUp6ejobNjRvE9psNp5++mnWrQspyi90QGB13ygVTbKzGoZngIIPE7NAKa7NOpf1H+znUEU9manxfPVcCbUKfZvuJFN8EfA4WHC7u+/+9QQXvc0BCkOdofKyClgU5LxVDiZt/aRk/g0ksrOz/cbKarX6kyf27dvXxksqKChg1apV/jNTW7ZsYfPmzSJK2018YT+FBYuykOy0QZqJ/z/jjQZcNeQcFj20BYDvfmkK8bESJRD6Nt0xVHOUUk9prWtp5VF5kyu6lbqltV6rlFqulFrUSkJpCbAg4LmsQBXGeOUEzC/0qliswJypCpzfUcai0EWys7NZs6ZjmUer1dqh1JLQeQIz/hSaRFctJJi21xPSmJsymU93OdhdUkPqoBhuXjCxN5crCGHRHUN1D/CxUmo9YPWWp8/GnFmaDfSEDksOsEIp5fPO5gILAgVlvbJKxQQJ5WmtFyulVnv1/cCEDVvMF4T+hM9QRatoEj12LHgg1UN1dAI7YxP5f5nncP9jRnz2lgWTSEmQ4xNC36fLhkprXayUuhWT7m3FSCopjMGYo7Wu6e7ivCG75WGMGx+ir8P5gtBfCMz4S2rybhOnw+a4FLRSjK6bxtbiz4iPieI7UhhRiBC6JUPg3edJV0qdhkn33tpD56cEQegCLeSTHDaIi4IkN28kWJmZlM1TrxwH4OsXZDMkJb43lyoIYdOdCr9jgVyt9SNe4yQGShB6mcA9KpNIoUHBGwlpnBObw+OfHSXKovjBxVIYUYgcupOevoEeKI4oCELP0UI+yWkDq4cKSwyfxSZxqMCc7Fhy1hjGDEnqzWUKQqfojqHKJ/iBXACUUtd049qCIHSBFqoUrmpIh7cSrIyNG8Gb7zUC8D+XivisEFl0x1BtISBNPAjLQvRFBE6nE6fTidvt7u2lCEJYBOr8JTmNoXojIZ20YxNAKy6dPZKpI0X5Q+gbuN1u/+dsKLpjqMYBC5VSe5VSTymlHgq80f3Cib2OT5RWhGiFSKHtHhW8mZDG3veNcZIy80JfwidQ25EobXey/n7qvS/G1HkKTBHvF1/Z7HY7MTExWCyigyZEBj5xzygVTbKyUZkcxYGoUXiOp3H+1ExOnzC4l1coCM3k5eVx991343Q6QxqrE1k4cWM3rt0nCEcsURD6ErU1dQBEYyEh1c7GQUNoKhpJFIqfXCZl5oW+RVRUVFhC391xFTo6SCv6OIJwkqmrNR5Vknag0k3Yj32jmTU2jfkzhvby6gSha3THUBUFFkxsTYCyuiAIJwl7nfGoktyNkAZvq2FYjg/hx5dNl8KIQsQi56gEoR/hy/pLdddTl2Hhs9IZTByawhVzRvbyygSh63RnjyqfEOnpSqlrtNbPduP6Qj/GZrOxfPlyrFYr48ePp6ioiOuuu65NmY9wxwmGxkZzVsrqqufd4VbU/nH86LJpRElCkBDBdMdQ+c5RtWeMloXoE/o5GzZs4JZbbglaiwpgwYIFrFixgkWLFgHGIOXk5LBp0yays7M7PU4wNDm8hoo6NqZmMcoxlhvOGdu7ixKEbtIdQzUOGK+UWo2pptu6om/En6MSOofNZuOWW24hPT2dyspKbLbgtS3Xrl1LcXGx3/iAqU+1aNEiFi9e7C9nH+44weDxeHC6zcHJ9Nhq3qmewQ8unk5stBRGFCKb7sQDfoqpPVWNOUM1N+C2sPtLEyINq9XK+vXrWbNmDXPnzm133Pr168nNbfs9Zu7cuRQWFvoNXLjjBIMv7AeQmljN/vIz+Ma8divgCELE0B1DVay1TtdazwlymwBI1p8QlPz8/KDtvhChrz/ccYLBl0gBClt6E9899UKS4uUcoBD5dCf0J+eoOkBrTVNTU28vo1PExcWd0DRmnxeUnt6unjHFxcVhjxOaqa6qBozO36dpKXx3oRzwFfoH3anw25HHtKWr1+4vNDU1cdVVV/X2MjrF888/T3z8iSuoV1lptjKDJVj4jFJFRUXY44Rmjh08DEAUURwdexEZyXG9vCJB6BlOSM6qUioViPidblFPP3GEu78k+1DhU/DWSwDEKsWNV97Zy6sRhI4JVz29Sx6VUmoccG2IIQsJUasqUvCJJP7iF7/gl7/8Zafnx8XF8fzzz/fwqk4scXEn9lt4qFCez4vKyMgIe5zQjG3fbgBiFYzPFPFZoe+zcuVKfvWrX3U4rquhv2zgnhD9NiDi4zLdVU9XSp3QMFok4gvl+YxNID7vKTs7O+xxgmHHoSpi68230tgoOdwrRAbhqqd39R1dCeRrrS2tb5hU9VuAdpXVIwWfeno46r5C+OTm5gYN6fmMki8lPdxxAvxi4yY8jlgAEhMSenk1ghAeUVFRYVWp6KqhKqYdnT+t9T6t9TMYYyUIbVi8eDFbt25t015QUMDs2bP93lS44wY6B47VcbDm39hdJmyblBrxUXdBaEGXDJXWutprjEIhUs1CUJYuXUp6ejobNmzwt9lsNp5++mnWrVvX6XEDnQf+u4v5iYXUYTyqpMGyPyX0L7pzjqoj5GvdAGTZsmVUVlb6D+MuWLCA7OxsFi5cyNKlS/3jCgoKWLVqlf8s1JYtW9i8eXMbsdlwxw1Uyqsb+GthIc9lHeYpyxxwQ8pg+dcT+hddzfo7DfhdiCFzgLVdWpEQ0axZE17lF6vVyurVHZ8JD3fcQOUvG3fTMLyInEM1/E2ZAElqakovr0oQepau7lGlY1LQMzAhvsBbNXCX1npFj6xQEISgVNc7WJe/l6nDtxFdGY8TDUBquhgqoX/R1dBfMbBWa31rTy5GEITwefS1L7BFVXJt7AFqa6y4MenpSclJvbwyQehZuppMsQ/R8hOEXqPB4eLBVz/HNfoA8xqqqKtLxa1dAAwaNKiXVycIPUuXTwZ6jZUgCL3AP9/eR3l1I9HjDjLPVkmtu9lQJcg5KqGfEVboTyn1NKZQYiDLtdaveftTgRXAca3173t2iYIgBOJ0efjff+/EM6iO7EFFpB93sTPGKh6V0G8J16NaClRhVCfWArk+IwX+c1V3AeuUUr9TSs3q+aWefESUVuiLrP9gPweO24mfVMK8hiqogjoxVEIEEq4obViGSmttwyRQjNNar9NaV7czzmewrldKRXzqUWJiIrGxsaxcubK3lyIIAHg8mvte2glAyrRSY6gqoSY6BZeE/oQIY+XKlcTGxobU+YMwDZVS6nZgdXsGKgirMKHAiMZut+NwOMjLy+vtpQgCAC9uPcSe0hqS0x0cUMV+Q2WLSQVveroYKiFSyMvLw+FwYLfbQ44LN/Q3tzPJE16DFvESSiJKK/QltNb8/qUdAMyeX88pjjoyPE6oUlRHNX8jFUMlRAonWpQ2HFJP4LUFYcCxaXsp2w5UkRgXTeWQvVzYUAmN4KmHmmhjnOLj47tclkYQ+irhvqO7IlMtxYIEoYfQWnPvi8abWrIgiw9qd3KhN+xnj07GhQeQRAqhfxKuoVJKqbHhXtRbATjiQ3+C0Fd4d/cxPth7jNhoC8NPO47SHuY3VkNly4w/CfsJ/ZFwDdUG2qk/1Q4PA093fjmCIATj9y9+BsCN52ezseYDZjXVkux2gC2G2hirP+NPPCqhPxJuevpaYLxS6kmlVHJ745RSKUqpp4BsrfUj3V2cUsqqlFqjlFqtlFrqve9yfQel1GylVGcMriD0OgXFFWz+7ChRFsXXLhrOm1Wfmv0pgLpkamNEPkno33RGlPYi4AtgsVJqPZCPKUkPZj9qLrDI+/P4HlrfZmCV1noDGMMFFCilFmqti7twvfWY82CCEDH4Mv2WnDWGQs82PHi4yukw2ejHGqlLFPkkoX8TtqHSWhcrpSYAm4AlwOJWQxTGCCzUWu/v7sKUUksxnpm/vKvW2qaU2oAxODmdvN6dmPIkYqiEiGHXYRsvFxxGKfjxZdP5wdFVRGkPc+3lUA/U1VOblobbY072i6ES+iOdymPVWhdrrcdjDNUzwMfe2zPAYq31hB4Uq12M8dpaswWY7fWuwkIplQ341DUEIWK472WjQnF5zigGD4HXKj8hp6mWOHcD1JizU7XJw/0eVUcn/AUhEulqmY8NWuslWus53tsSrfUzPby23HbabR30B2OZd59NECKG4rJa1r9/AIDbL5/OC+Xv4dYevur2JtQ6xwJQl5AhoT+hX9MnTwYGeEuVIYaFdU7LG0KUBAoh4rjv5Z14tCb3lGGcNi6dDWVvA3Cpo94M8HlUJIqhEvo1Xa3we6JJ997bgvT5jFdGRxfxGjxrFxMvgir6WiwWkVQSTjgHjtXxxDvmbXvnlTOocNSQX/kxMdrDuOovzKCyWlwqmgaXRdLThYjB7Xbj8XhatPWIenov0hVFjEBWaK3v6epkn3p64E2U1IWTwe9f2oHLrblw+lDOmjSEZ8vfwaXdfMWShMXVALEZcGAfdTFGqcyjxFAJkYFPMT3w1tHeal/1qEKF/HzeVkWoCyilFgFPdWcRdru9jVii6KgJJ5qDx+08/rbxpu66agYATx59A4BvEWcGxc2BplepTfNGwC2inC5EBnl5edx9990t2pxOZ0hj1ScNlTcNHZqNUiA+L6vdcJ435Dc3MLW9K4Sj6isIPc19Xm/qgmlZnD05k9KmCl6v3AbA3LoSM8gxEoC6EdMB8ChT3FMMldDXiYqK6vT2SZ80VF7yCR76Sw/ob49cINt7MDmKXT6SAAAgAElEQVSQ2YDN276lO2FBQTgRHDpu5x9v+bypUwBYf/QtNJoLkieRsO9RM7AqFoDazAlQgShTCP2avmyo1gOrg7TnAIXeqsNB8XpSbbwppVQVsFVr3fqwsiD0Ce5/eSdOt4fzpmZy7pRMAJ48+iYA34/LAncjDBoKe44C5gwVFeDyHvgVQyX0R/rshov33FOld68J8If0lgC3BLYppbRSqiCMy3Y3OUMQThhHKut57K0iAFZ4van9DUd5v3onCsVFTTVm4PB5sPdTAOpi0wBwuByAhP6E/klf9qjAeE8rvMoSYPQEF2itC30DvPtZxYTes1qNCfsB5HpDf5vkELDQl7j/5R04XB7OmZzJeVOzAHjK603NS5tJ8uEPzcCMs+GQyROq9cTh0dW43RL6E/ovfdpQecN7y8MYF1IEV2vd4TUEoTcpqaznb294vamrZ/jbfdl+Nw45CwoeMI2O4aA1pGdSU+vApZvPoIihEvojfTb0JwgDiftf3onD5eGsSUM43+tNfW4/yCe1RUSrKK51a/A4IHkMHK0GQE+YQW2lHbfXUMXHx8thdKFfIoZKEHqZQ8ft/N8bRm3ip1efgvdoBk+WvgHARRk5pBx91wweuRD2miKKDdmzcDndflUKEaQV+itiqAShl1n9wmc4XCbT74JpxpvSWvvDfjcMnQeHNpnBoxb6Eylqhk0FICbBGDYxVEJ/RQyVIPQiXxyt8atQ/HzRqX5v6pPaInbXHybeEsuViWOh8jNAwcgFzYYqbTQAMYkm3CeGSuiviKEShF5k1XOf4vZoLjp1OGdOHOJv93lTlw4+neTS90zjkByo90BFGShFTdxgAKLixaMS+jdiqELgdDpxOp243e7eXorQD9l52Mb6D0y9qbxrZ/rbW4T9hl0IhwPCfnu2m8cjs6mtNUkUllgxVEJk4na7/Z+zoRBDFQKferoopgsngt88sx2t4cq5o5g1tlnW8j3bTg42lpMUlcAlGXNb7k99/rF5POU0airrAFDRpmSCpKYLkYZPSb2jL1liqEJgt9txOBzk5eX19lKEfsbH+yp5qeAwSsHPrpnZou8fpUbG8prMc0iw7YGGMogeBEPPhl1eQzX1NGor7QBoi/H4xaMSIo28vDwcDgd2uz3kuD594Le3EfV04USx8hmjhn792WOZMiLV397odvjVKL4+fGGzNzX8AoiKa+lR7aoCwI2kpwuRSbhK6uJRCcJJ5r3d5WzaXkp0lPIrpPv49/EPsbnqGBk3mHnpM1uG/ertsO9zAPSUWdRUmW+hTreJ74uhEvorYqgE4SSitebXG0xCxI3njyc7K7lF/2MlJuz3teELiHI7ocR4V4z0JlJoDYOHUh9nxe10gwKHqwmQPSqh/yKGShBOIq9uK+Hd3eXExVi484rpLfqOO6r5z/GPALhxWC4cfddb1mMYpE9vGfarMIkUiSmDqK+vN4/FoxL6KWKoBOEk4XJ7yHvqEwBuu2gyIzNaGpYnj76BS7vJSZnItKQxcPBV0zEyF5RqNlRTZ/sTKVIyEv0b0WKohP6KGCpBOEn88519fH6kmrTEWH5y2fQ2/b6w343Dck3Dwf+Y+zGXmPuAjD9fanpKepIYKqHfI4ZKEE4C9U0ufvus2Zu644rpWBNjW/R/bj/IlprdRCmL0farPQCVO0BZYNRF4HT6pZMCQ38p6YkS+hP6PWKoBOEk8OCruymtamDM4ESW5k5q0/+Pks0AfDljLplxaXDA600NPRvi06F4JzgdkJwKI8dRfdwYqqS0QTQ1mWQKMVRCf0UMlSCcYI7VNPKHl3cARng2LqbluRG3dvNYiUlD//pwb9jPZ6hGtwr7TZ4FSlF9vBaA2KTmo5CS9Sf0V8RQCcIJ5p4XPqO20cWssWksOnNMm/6Nxws43HSc9Jhkrsw8C1wNcMR4WIy51NwHZPwBfkMVk2j+haVootCfEWWKEPiEEi0Wi3wICF2iqKyWR17bC8Bvrj8Ni0W1GfPokVcAk0QRZ4mFw68YY5U4AjK8B4IDEilcTjd1NrMvZYkzzRL2EyIRt9uNx+MRUdruIKK0Qnf51fptuNyahTOHccG0oW36y5uqeOHY+wB8e8SXTeOBgGw/pcDjgd0mrZ2ps/2JFDFx0biluq8QwYgobQ8gorRCd/hg7zGe++ggSsGvl8wKOuYfpZtxaTdzUyZzSvI4ozxx4N+m0xf2O1QE9lqIi4dxU/xhv9SMZH/Gn+xPCZGIiNL2ACJKK3QVj0dz5z8KAPjaednMGJ3WZozW2h/2+/aIL5lG2x6oKQZLrKnmC81hv4mnQHS031ClDJYzVEJkI6K0gtCL/OPtYj7eX0lKQgy/XHxq0DEfVO9il/0gCZY4rh96oWn0HfIdfgHEJJnHbRIpTOjPOiRZDJUwIBBDJQg9THW9g1+tN2U8ll81g8zUhKDjfN7U4qzzSI3xGhp/2O+S5oG7Cs391JYZf6kZYqiEgYEYKkHoYX73/Gccq2lk4rAUbl3Y9nAvQJ2rwV93yp9E0VQNJW+Zxz5DpTV8tsU8nj4XCDBUg5Nkj0oYEIihEoQeZHdJNQ9v2g3A774ym9jo4PH3f5Zups7dwMRBIzgvzZuCfuDf4HFC2lSweg3coSKoqYLYOJhkxjUbKvGohIGBGCpB6CG01qx4ohCXW/OlU4dz0anD2x33l0MvA3DbqMtQynu2at9z5n7c1c2DPzVlP5hyGsTE4nF7qPEpp0syhTBAEEMlCD3EK5+UsGl7KTFRFn731dntjnvPtpPtdcUkWOL4xvCLTKOrAQ781zzOvqZ58GdeQ3XK6QDUVtnRHo0lykKyVUp8CAMDMVSC0AM0Od2seMKko3/nS5OZMDSl3bF/OfQiADcMm0dajLfC76FN4LJD0mgYEmDktn9o7mcYQ9WcSJGEsijq6rzitElJPfnrCEKfQgyVIPQAf3rlc4rK6shMjefOK2e0O668qYr1ZW8D8J1Rlzd3+MN+Vxk1CjBq6b7UdK9HVVVWA4A10xjC2lrvmaqU9g2jIEQ6YqgEoZvsK69j9fOfAUbPLyWh/UPijx55Bad2cXrKZHJSvAkTHhfsf8k8zg7Yn9rzKTiaICUNRk8AoLKsGoC0LGOYamqM4UpOTu7JX0kQ+hRiqAShG2ituf2xLTQ63Zw/NYvrzx7b7li3dvPwYXNOqoU3Vfo2NFZA/GAYdm5ze+D+lNfLspUbw5SWmYLb7fbvUYlHJfRnREIpBKKeLnTEC1sOsXF7KbHRFv7wjbnNGXxB+M+xjzjYWE56TDJLhl7Q3FH8rLkfewVYAv4ltxmxWt/+FDSH/tKyUv1hP5A9KiEyEfX0HkDU04VQ1DQ4ufOfJoHix5dNY9Kw0F7Nnw69AJgDvglR3vocWkPx8+ZxYNgP4JP3zP1p5/ibqnweVVaKP+yXlJQkX6SEiETU03sAUU8XQvGbZ7ZRWtXA+KwkfnLZ9JBjt9cWs6miEAsWbht5WXNH+VawHza6fiNzm9uPl5nDvkrBzDMBaKhrpNFuys5bh6TI/pQQ8Yh6eg8g6ulCe3y49xgPb9oDwP03zSU+NrRH84cDJrx3bda5jBs0rLmjaL25H30JRMc3t2/zelMTZkByKtAc9ktMHURsfIxk/AkRj6inC8IJosnp5ruPfojWcMM545g/Y1jI8aVNFfyz9DUAfjLm2uYO7YG9/zKPJ17fcpIv7DfrbH9TYNgPmjP+xFAJ/R0xVILQSVa/8Bm7S2rITI0PqUDh48GDL+LULs62TuMM69TmjpK3TdgvNhVGX9xyUlBD5U1Nz5TUdGFgIYZKEDrB9gNV3P/yTgDu//pc0pPiQo63uxp46LDR9fvJmEUtO/c+Ye7HL2oZ9nM0wY6t5nGgoQrI+AM57CsMHMRQCUKYOF0evvPIB7g9mqvmjuLKuaM6nPNYaT6VzlqyE4ZxZeZZzR1uR/P+1MSvtJy0Y6tRpUgfAqPG+5ttrUJ/PkMlHpXQ3+nTyRRKKSuwGrABRcB44CmtdWGY87OB5d4fs733y8OdLwiB3PfyDrYdqCItMZb7vj6nw/Ee7fEnUfxozNVEqYBN44OvQFMVDBpmqvkGstXUqSLn/GY5JQI8qkzZoxIGFn3aUAGbgVVa6w3gN1wFSqmFWuviUBN9Rk5rvTigbXXA/PwTuXChf1FYXMHqF4xM0r035rRbtTeQZ8veYW/9EazRSXxz+JdadvrCfhNvAEurrCe/oWo2YI5GJ7VVJoXXF/oTQyUMFPps6E8ptRTI9hkpAK21DdgArA/jEuuAWwIbtNbLMd5ZOPMFAYAGh4tb1ryPy625+vTRLDlrbIdzPNrDymJjjH4w+iqSogMMm6MW9hsF9TZhP6cTPn7XPJ7TbKgqSm0ADEqOZ1Cy2c+S0J8wUOizhgpYDATzerYAs70eUyhygYIg7fmAVSnVcbqWIAC/fHobe0prGGpN4A83hZZJ8vHSsQ/YXldMUlQCPxxzVcvOfc+b+lPWSS1LegDsLIAGO6Smw8RmFXafocoYnuZvE49KGCj0ZUOV2067rYN+H8VAdhgGTRDa5Y0dR/nLRlNa/i83n0FGcugsPzBCtSuL/wnA90ZfQXpMK0PiD/t9tcUeFNByf8rS/O95/EgVABnDrf7nEI9KGCj0yT2qAONSGWJYdog+tNY57XT5vsKG3OMCggolikDtwKGitolla40w7M3zJ7JwZvDS8q155fgWCmr2MsgSx48DD/gC1B2GQxvN44k3tJ3sM1RzWiZY+DyqwV5D1djY6H9/ikclRBI+IdpAIlWUNt17bwvS5zNeGZ29qFIqF2Pg7vHud4XEJ0obeBOB2oGB1ppb171PSVUDE4el8JsbTgt7nm9v6tZRlzEktpVDv+uvRpFi+AVgndiyz+mEj98xj1sbqhKfR2VCf76wX0xMDPHx8QhCpOATog28dSRK2yc9qgB6Omy3BtjgTaroELvd3kbrz2Lpq7Zd6Eke2ribVz4pIS7Gwt+/ew6JceH9q7xW+QnvV+8kzhLD7WNbHfD1uGHXI+bxtKVtJ3/6IdhrwZoBk08NmOah8qhRpfB5VIGqFOHsmQlCXyEvL4+77767RZvT6QxprPqqoQoV8vN5WxWduaBSag2Qr7VeFu4cEaUdmHy8r5KfPfkJAKtumM0po9M6mGHQWvPzor8DsHTkJQyLa+X0H3oV6g5BXDpkX9P2Au9vMvdn5rbYn7Idq8Ht8hAdG01qhtmPElUKIVIJV4g2kD7pHgSE5dKDdPu8rA73mHwope70XjdsIyUMTGoanHzzL+/gdHu4PGckNy+Y2PEkLy8ee5/3bDtJsMRx19jr2w7YudbcT7mppWSSD5+hOmthi+bjJd6Mv2GpKIvxniSRQhhI9ElD5SWf4KG/9ID+DlFKLQLGBxoppVS2V7VCEPxorblt3QcUldUxKmMQD958ZthhNZfHzU/3/h9gVCiGx7fypuwlsN9o/jH1FtpQYzOhP2hjqHz7U4MlNV0YoPRlQ7UeCKZTkwMUhpMM4T0rtTCIJ7Uo2HhhYPOHf+/ixa2HiI228PfvnUtaYmzYcx8r3cRO+wHSY5K5c+yStgN2/R9oNww7F9Kntu3f8jp4PDB2Mgwb3aLL71ENb/7eJoZKGEj0WUOltV4LVHo9IsCftr6EAMUJpZRVKaWVUi0O93o9pvWATSm12ntbo5RaDyzrSIJJGFi8seMov1q/DYB7b5zD3PGDw57b4G7iF188BsBPx92ANSap5QDtgV3rzONgSRQA73lT1s++qE3XscNmyzbQo6qqMl5WWlp4+2eCEMn01WQKHznAioAw3VxgQaCorNbappQqpu2e1XpMKvqdQa4rRkrwc/C4nZsefBeP1tx4fjbfnDe+40kB/PngCxxuOs6o+CF8d9QVbQcc2gi1ByDOakp6tEZrePs/5nErQ+Vxezh2yBiqrDHN4cSKCpNLlJHR6VMaghBx9GlD5Q3vdZhKrrVu88kS4sCvIPixN7n46gNvUVnXxGlj07n/6+FJJPmodNawat9TAPx6/E3ERwUJF25/wNxPvgmig4jZ7vkUSg9CXDycPr/l9Y9W43K6iYmLJi0z1d/uM1Tp6cHyjQShf9FnQ3+CcKLxeDRL17zPJ/uryEiO4/EfnEd8bOfSZn+2929UuWqZkTSWG4cvaDugchcc/C+g4JTvB7/IW94kizNzIWFQi66yg8YgZY7O8Gf8AVRWGi9LPCphICCGShiw/PqZbf7kiX/98HxGDw59Or41hTV7efjwvwH485Tvtaw35WP7H839uCshtZ2Q4hsvmfvzL2vTVXbgOABZo5sNktvtFkMlDCjEUAkDkifeKea+l0xJ+T9/+wzOmjSkU/M92sP3dj2IRnPD0Au5IH1m20GNFbDHJFkw80fBL1RR3pyWfkEwQ2U8qqzRzckd1dXVeDweLBYLVqtoLgv9HzFUwoDj7V1lfO/RjwC444rp3HDOuE5f47GSfN6v3klSVAL3TgpyLgrM3pSrwZTyGH5+O4v5j0mmmHoaZI1o0+0L/QVLpLBarSKQLAwI+nQyRW/jU/QVxfT+w/YDVVz/v2/hdHu4au4ofnZNEE+oA2zOOpbvNZp9P8/+KiPig6SyO2rh0z+Zx6fd1bach49N3rqgF17ZpqvOVo+9uh6lFJmjmpMmJOwn9Bd8SuqRqp7eJ/Cpp4tiev9gX3kdV//+dWoanJwzOZN1y87GYum8oOvPvvgb5Q4bkweN5Idjrg4+aOdaaKoyxRGD6fqBUaPwnZ+6aHGbbp83lT40lZi4Zs1JyfgT+gs+JfVIV0/vVXzq6aKYHvmUVzdw1T2vUV7dyIxRVp780fmdzvADeLNyOw8eMmXkH5z6fWItQUSLXQ3wyX3m8aw7wdLO87z+AricMH6aubWibL9JpMgc3dJzEo9K6C/4lNQjVT29TyDq6f2Dyromrr73DYrL6xgzOJFnb5+HtRPySD7srga+tcMYoKUjL2FBRjs1qnashfpSSBoNk29s/4Ib15v7IN4UwJGiMgCGj89s0S6HfYX+QrhK6uIqCP0am93BVfe8zvaDVQxJiee5Oy5kWNqgjicGYcUXf6W4oZRR8UPaT6Bw1kPhKvN4Th4EOwAMHYb9tNYc2WsM1cgJWS36fB6VhP6EgYIYKqHfUtPg5Orfv87H+yvJSI7j5bvmM3FY10Rc36zczp8OvgDAI9P+h5TodsIUn/0FGsogZZxRomiPjetN2G/CdHNrhe1YLfaaBixRFoaObZmsIR6VMNAQQyX0S2obnFz7+zfYWlRBWmIsLy2fz7SRXTtzVOuq59s77gfglhEXc9HgYKL+QGMVFP4/83jOzyEqRNj4RVNgkcu/HrT7yN6jAAwdO5jo2JYRekmmEAYaskcl9Dsqapu49r7XKSiuxDoohheXzw+7Sm9rtNbcuvOPFDWUeEN+7aifgwn5NVVB+gyYFGJv6uAX8PG7porvZV8LOuTwF96w38SWYT+3243N5i37IR6VMEAQQyX0K47aGrjyntfYebia9KQ4nrt9HrPGdt3zePTIKzxx9HWilIUnZ/6U1Jh2Qn61B+BTr/jsWfe0n+kH8KJXreKshZA5POgQ3/7UiFb7U1VVVWitsVgspKamBpsqCP0OMVRCv+HAsTquWP0axeV1DLUm8NLy+UwZ0fUP809r9/H9zx8E4LcTvsnZ1rZ7SX7eux3cTTBiPoz+cvvj3G54yWuorvxG0CGORqf/DNXIiUNb9AWG/eTYhDBQEEMl9As+2V/JovveoKy6kbFDEnlx+QLGZSZ1PLEd6lwNLN62kkaPg4sHz+WOscFTyAE4lA9FG0BFwTl/aF+FAoxkUskBSE0PqkYBcOSLMrRHk5yWSEpGy9+htLQUgMzMzGBTBaFfIoZKiHj++/ERvvmXd7E3uZg2MpXnbr+Q4eldS0EHIzj7rR33sbv+MCPiBvPYjDuxqHa8F7cD3vmBeTzjuzC4A0mmJ42HxtXfgvggtamAfZ8dBmDs9Lbaf0eOHAFg5MiRHf8igtBPEEMlRDTr8vdw+z8K8GjN/BlDeex755I6qPOHeQP5RdFjrC97ixgVzZMzf8rg2BDhw8LfQdUuSBgCp/8q9IUP7IV3XzUe15Lb2h3mM1TjZrQ1RocPmz4xVMJAQgxVCESUtu/icLm58/ECHn3tCwC+dl42D3zzdGKiu7dv84+SfH5T/AQAa6f9iHPTZrQ/uHInFPzGPD73j6bUfCh83tR5l8Co7KBD7DUNHPVKJwUzVD6PasSItt6WIEQaIkrbA4gobd/kqK2BS1Zt5tHXvkAp+Pmimfzl5jO6baTeqfqMm3f8AYC7xl3HN0Zc1P5gjwte/zZ4nDDmUphwfeiL2yrgGaO4zlfaqfQL7N9hDFHmqHSSrC3Dl1prCf0J/QoRpe0BRJS27/H+nmN8/c/vcNTWQOqgGB659Wy+PKv73sWOuv1c9ckvcWgn12Sey28nfDP0hMJVUPYBxKbA+Q+FTqAAeOJP0GA3dafObt8A+sN+p4xq01ddXY3dbkcpxbBhwzr8nQShryOitD2AiNL2HdweD/e/vJPfPvspbo9m6ohUnvjheUwY2jVJpED22o+Qu/UuKpw1zE2ZzGMz7mg/eQKgbAts8e5HnfcgJLc1Ki2or4N/es9Yfav92lRaa4o/PQSE3p/KysoiNrZ7+3CC0BcIV5RWDJXQ5ymprOfmNe/x9q5yAK47eyz/+425JMV3/0vE/oajLCi4k6OOSmYmZfNKzm9JjA6ejQcYmaRN14F2w/glMOmrHT/Jvx6EmioYMxEWXtvusJLicmor7cTERTN6SluPyWeoZH9KGGiIoRL6LFprnvnwAD/++1aq7A4S46K5/6Y5fOXc4IkIneVw4zEWbF3OocZjTEkcxaacVaTHhPDQtIbXvwk1+4zo7AUPdxzyq66ER71q6kt/BiG+PX7+YTEAE08bQ0xs239NSaQQBipiqIQ+SZmtgf/5+xZeKjBexKyxafz1tnO6rH7emt32Q3yp4KccaCwjO2EY+TmryYzrQA+w4Lew7wWwxMJF6yE+DP3AR38HtdUw8RS4tH3vS2vNro+KAJh6xvigYySRQhioiKES+hRaa554Zx8rniikyu4gOkpx5xUz+Mnl04iN7pkjAh9Vf84lhT+jwlnDxEEj2JTzO0bEDw49qegZ+CjPPD7/QcjM6fiJjuxv3pv60e9CelMlxeVUH68jJi6a8aeODjpGQn/CQEUMldBn2HHIxv/8fQvv7zkGwMzRaTy89MwuK58HY+PxrVyz7dfY3Y3MSZnEf2b/hiGxHZx/Ovo+bPaqoc/8IUy7ueMn0hpWfR8cTXD6hXDexSGH7+og7Od0Ov3ySWKohIGGGCqh16myO1j9/Kc8vGkPbo9mUGwUd145gx9cPLXbZ6N8aK3548HnuH3PWtzaQ276aTw76xckR3cgtVS5A/59KbgaYPTFcPbvw3vC116AN1+G6Bi4+8GQe1kup5vP3tkDwLQzJwQdU1RUhNPpJDU1laysrKBjBKG/IoZK6DWanG7W5u/h3hd3UGV3AHDl3FGsumE2owaHPgDYGerdjdyy4w88cfR1AL42bAGPTv8xsZYOsgZte+DFhabGVNaZ8KX1YAnjX6a6ynhTAN+4HbKnhhy+e0sx9poGktIGMfG0MUHH7NixA4CpU6eiOkrgEIR+hhgq4aTjcntY/8EB/t+z29l/zA7AtJGp/Pb608idGbw+U1fZaz/Com0r2V5XTJSycP+kZXx/9FUdf9hXfQ4vzIf6UlMI8dKXob1aVIFoDb+5DcoOm3T0pT/rcMrWfGOEZs+fhiUquAe5a9cuAKZNm9bxGgShnyGGSjhpuNwennpvP/e++BlFZXUADLUm8LNrZ/K188YR1YMKIFprHjr0EnfsWUe9p4nMWCvrZ/6M89M7UDcHKHkb/ntlc7XeK1+D+DCr6b78OLzylEmcWPU4JIQOLZYdrODwnqNYoizMmhfc89Ja+z0qMVTCQEQMlXDCsTe5ePytIh58dTf7yo2BSk+K4wcXT+HWiyaTGNezb8PDjcf41o772FRRCMD89Fk8NuPOjjP7APY+CZtvAo8Dss6AS14yyujhsOtj+PUy83jZz+GU0zuc8t6LZo2T54wjOS24x1ZWVkZVVRXR0dFMnDgxvLUIQj9CDFUIRD29e5RU1rNu814efW2vfw8qIzmOH14ylVsWTOwRZYlAnB4Xfzr4PL8sepxadz0JljhWT/o23x11RWhJJADtMSU7Przb/Dzuash9HGLCrGtVUQ4/vAoaG+CcL8PSuzucUnbgODs/KAIF51w5u91xPm9qwoQJxMXFhbceQYgAwlVPF0MVAp9I4i9+8Qt++ctf9u5iIgSX28Or20r42xtfsHFbKR6tAcjOTOK7X57CV8/L7nEPCiC/opAffP4XdtkPAnBG6hT+PuMOJid2oMMHUH8UNn8DDr1qfj71f+Cse8ES5peTuhq47WIoPQijJ8DqJ0KemfLxxoYtAEw7YwJZo9sPLcr+lNBfWblyJb/6VQd13BBDFRJRTw+f4rJaHn+7mMffLqa0qsHffu6UTG67aDKXzh7Ro3tQPrZU7+YXRY/x3+PmQ39ITCqrJn6Lb474UsdeFMD+fxtZpIZjEBVv6kpNXxr+Aurr4PtXwK5CSB8Cf34ZUjs+91X86SG++PgAyqI4/9o57Y7zeDx8+OGHAJxyyinhr0sQIgBRT+8BRD09NAeO1fHsRwd57sODfLy/0t8+ODmOr5ybzU3zxjOphySPWlNYs5dfFT3Oi8feByBKWfjOqMv59fibsMYkdXyB+qPw/l2w++/m54xTYeETkN4Jr6W6Er5zKWz/ABKT4aFXYNzkDqc1NTj4z6NvApCTO52MYe0fOP700085duwYiYmJ5OSEoYYhCBGEqKcLPY7Wmt0lNby6rYTnPzrI1uIKf1+URTFvWhY3zZvApbNH9JjcUSBu7ealY1MvtEoAABN4SURBVB/wvwee482q7QBYsPC1YfP5+fivMX5QGKntbgd8+idTpsNZa9pm/gjOXAXR8eEvZv8esydVvAtS0uCh/8K09veZAnntyQ+oPl5H6pBkLlxyRuixr70GwHnnnSelPYQBixgqISR1jU7e3FnGpu0lbNxWwqGKen+fRSnOnZLJtWeM5vI5oxiS0okP+k5wsKGcf5Tm8+iRV9jXcBSAaBXFkqzzyRv/VaYkBtfGa4HbCXseNwUPq/eatsy5cN6fTHZfZ9j8POR9w4jNZo6Ah1+BiSFK1gew7c3PKdy8E4BLv30BsSESSpqamnj77bcBmD9/fufWKAj9CDFUQgtqGpx8uPcY73xezru7yyksrsTp9vj742IsnDcli4tPG8GVc0aRZQ1Ru6kbVDpreKn8Ax4v3czmyk/QmKSM9Jhklo28lO+MupyR8WGkjTvtJrxXuBrqTKIFCUPgjFUw9ZsQzj6Wj+oquO92eO6v5udZZ8MfnoHBQ8OafmDnEf7z17cAOPeqnKDFEQN57733qK+vJzMzkxkzwjOEgtAfEUM1gHF7POwuqaFwXyWFxRVsLapg24Eqf6aej7FDErno1OEsnDmc86dmMegEZO1prSluKOXV41t5rvxdXq/ahls3G8h5aady0/CFLBl6PoOiOvDctIZjBbDzEdj7RHOILyELZv0Ept8KscnhL87lghf+Bg/8FCqPGd2+b9wB3/s1xIaXLl60/RAb/vdVPG4PU0/P5vxr2k+gAHA4HDz22GMALFy4UBJ6hAFNnzZUSikrsBqwAUXAeOAprXXhyZjfn6isa2LXkWo+P1LNrsPVbD9Yxbb9ldQ73G3GZmcmcfbkTM6ZksnZk4YwLjPphOjLlTZV8FrlJ2yu+ITNlR9zsLG8Rf/MpGyuzTqXG4ctYNygthVvW6A1HP8Yip+Dfc8ZMVkfKeNNyvnUb0Go6r2tcTrgv0/Cut+aPSkwun0/XwM554V1Ca01ha/tZONj7+Jxexh/6iguv3U+yhL69XzuuecoLS0lIyODRYsWhb9mQeiH9GlDBWwGVmmtN4Df8BQopRZqrYtPwvxex+12s3LlSvLy8jrMjml0uDlYYWd/eR37j9XxxdEadh2uZteRasqqG4POSYqPZtbYdE4bl07OuAzOmjSE4elhHnLtBDUuOwU1e9lavYetNXvZWrOH4obSFmNiVDRnpk7h8iFncnXWOUwY1H45C7fbzR9+eyc/XnIaltI34dDG5tAeQFQcZC8yJTmGnx9+iE9r2L0N/vMveOkxOG72xLBmwM0/ha98H8LMBK0+XsvGf7zLnoL9gCmIeOVt84nqINHk4MGD/Otf/wLgW9/6FgkJ4RvXzrxfBhLyurQlkl4TpVuFefoKSqmlwGqtdVqr9tVArtY6ZK5ud+YrpWIAh8Ph6PX0dKfTSWxsLPUNjVTVuym1NVBa1UBZtbk/XFnvN0wlVfWE+nOOHpzIlBGpTB2RyrSRqcwel8HEYck9dr5Ja81xZzV764+wq+4gu+yH+Nx+iF32g22MEoBCMSt5PAvSZ7Eg4zTOs84gsT2Pp7ECjn0MxwvhWCG6vABV80XLMdGDYPSXYdxVMOay8CrwgqkZte0D+HAzbNpgMvl8ZA6HG74PN3zXpKCHQU1FHVs2fsrWjZ/hcrqxRFmYf90ZnP7lmR16UiUlJdx+++1UVlYyY8YM7r333k55s773S1947/Yl5HVpS196TXxrAWK11m1kKvqyR7UYyA/SvgW4Uyll1VrbTuD8E0qT002V3UFFbROVdeZWUecw9962itomjtrqGXTtn8la9kxII+QjKT6asUOSGJuZxLjMJKZ6DdPk4akkJ3T9zejyuDnurOaYo5pyh40jTcc52FjOgYZyDjZ6bw3l1Hua2r3GmPgs5qRMZE7qJOakTCInZSJpMd4Pf+0xxsi2B6qLoKYIqr/w3vZC3aEW11KAxwNqyCzUyAUw4kJz60jyyO2GA3th9yfw+SewYyt88i40BXicsXFwwWVw8Q0w74qwPKiaijr27zjCro+KKNp+CO0xf6zRU4ax8MZzGDomtM6g1pq3336bhx56iKqqKsaOHcvPf/5zKekhCPRtQ5ULbAjSbuugv6fmU13vwK1dNDrdNDjcNDrd1Dc6Wfd/f2PRkq/gdGsavH1N3vsGh4vaBid1jb57JzUNLmobHRwqPU50fCK1Da4WmXQdYRmUhtbmrFJWajzD0hIYah3EMGsCw9MT/IZp7JAkBifHoZTyu/WLF63AoVw0uOuobHDQ4Gmiwe3A7m6kxlVPjctOtctOjaueapedaqedtwvfZ+z0CVQ6aznmNIap0peQ0NFatWZibBozE4YxIzadaTGpTIgaxLioBFI9TmiyQfkOOPAa2EvR9UepPbqb5JgGlMcV+uIp42HIbBgyG1faqWTOuIQy20fm26DHY9LFbUeg6jhUV5jEh6OHoGS/uR3Zjy47hHIFeZ6MLFOJ95wvw/yrIDm1Rbfb7Wblr1dy5x3Lqa2wU1VeQ1VZDWUHj3No91FqKupajB8zdThnXHIq404ZwW9+85ug4RWtNSUlJRQWFrJx40b27jVp82PHjmXlypXcf//9Jy0s09UwUKTM6wqR8rud7BBeb6yzT4b+vHtJVcBarfWyVn25wCZgudb6nhM0PwZw3L74Cm9YLPRrZL7zajQKFXSsDhinmq+nwGKeEAVYlGlTvrHex01NTcTHx/mn6oDn0ABa+9s05gMQdJvsvcD1qsDH2vuzBoVu2dd6LBAFWLRZu8U/34PWzXODEXw5yvs7eRevLKBigGhTpFBFA1FoFWX63W7wuMDtxl5TQ2J8HHjcaLebtn8n31+mJW4NUSlWSEqFxBTcyVY8sYPQHg9utwft0bjdGo/bjdPhwtnkwtnopKGhKWiYVGMSAZPTEhk8PI2sMYNJTDUhTLfbzV133UVeXh5OpxO73U5FRQXHjx+nvLyc+vrmc2kxMTFcd911LFmyBKVUl8IyXQ3nyLzIXGN/mRepob90732w0JxPqydUgaDuzgfg40p7H0oLbuh4SK/TE2EqD9DkvXVANOBqDPHU7XzBUEBdpbn1JDXAAeD9ls0TJkzwJ0e0JiYmhgkTJnDuuecyb948rFYjp+RTk+5IVbo1Mq/n5kXCGiNxXmNjY5u5ka6e3r4I2omdHw2wefPmbj69IITHAw88ELQ9lFBnKGRez82LhDVG0ryUlJD6n9FAxHhUob7q+rylihBjuju/EUjCfL1vjaeddkEQBKFjfLsGwdqDnqPpk4ZKa23zZjulB+n2eUntnoPqgfkasIe1WEEQBOGE0lc2YIKRT/DQXXpA/4mcLwiCIPQB+rKhWg8EE0TLAQrDOAPV3fmCIAhCH6DPGiqt9VqgUinlFzrzpp0vAW4JbFNKaaVUQVfmC4IgCH2bPrlHFUAOsEIple39eS6wIFBU1rsfVUzwPacO5wuCIAh9mz554FcQhJ5DqggI4eL9Ur/c+6PvC/7y3n6v9HWPqt/SQyVMlnp/zMAkjqzXWkd0kkgPl3YB88+2PFLU8kPhDWOvA8Z1co814qsItEc3XpMemd9X6crv5fvf0VovDmhbTfN7pdc+W8RQ9R7d/fBYHUQear1XbDekhmEfp8uvi3fsPoxhWutty/bOz4nED2Xv77QOczYwnU4eYvdWEcgOfE94w+UbMAlHIasQ9EV64DXp1vy+Sg/8XutotX+vtV7ufQ+tB8IsR9Dz9Nlkiv5Mex8eGJHc9WHMXwQUBOlaDqzoqXWebLr7umD+0XyJNL75xZijCMvbm9SX0VrbtNaLvV9KtnThEqGqCMz2frhFFN19TXrgNe2T9MDvlUvwz5V8wKqUmt2tBXYDMVS9Q3c/POZ6r9GaSiL722F3X5dFBE+qKaY5TDrQyG2n3dZBvzDwKAay++KXFzFUvUN3Pzw2AblKqU2t3lQrMPszkUqXX5eA1yGYfFaFd0yvfSPsDTp4TXxkh+gTBhBa6xyttQqyp+X7v+m10LnsUZ1keuLDQ2ud791jWARUKaWWYZIOigLDXpFEd18X776LjeCyWT6l/GB9/ZkeqSIgDFy8ZZGygXt6M9lEPKqTT498eHgzc3z1tNZgvI2nu7263qMnXpe1/P/27vYokSUKA/B7qm4AlJsBZsCuEQgZoEZwNQOojcDCDNiN4C5kABvBqhnARrBKBuf+6DNLTzvD14DTY79PFaWOwzh0SR/69Nf6058va4ml2nqILpVDjTEGMFXVWvt4GajqU6nysAEVbQA9uCZ5B8Bv+wTUZAeXi72ZnkVkkB2zcsr6vY68AVX0qu4iQAkTkTGAuT9cvS4MVO+vcuVho+NubITPXFXP4Ua1tQBMYuwM3cFRKlVV/QxgJSIDC1h+Xr1xw9Or8FI1B+0iQOnKPuyFU2Dqwj6qd1Z1CxIzQjD/RVUfRGQON7y0CzekuzGOVC7ZtXL9dCKSDdlPsVLmLgK0F8tCnPtBKluGrq65iGxR1ePgysNaS62ifxhbvWGK5g4aOFWl2obLs3+YlQf2wF0EaGc2MrZX0JLqF53/Xhio6nFw5WG/W3kL7YZaaO6n5EqVqojcisirXzb2xuugoRN+d8VdBN4qK5PUlZWLvW8mcPXLyB5jEZkAuKtzZRem/mqgqt9EZCgi/WCpoGsAl9l5duwVrpL2U31XcH1Rl37lbX1XsyYuFQQcpVxacOm9F++876j5TVaVdWqfYT168aftGDDL0pyp7SJQtUx2eX4TVSyXCVz2YYC3an3/cPX0mlgl+hXrAQIXcGvcPQfnLeAq5KvgeMee/wI3pPsjLUpbpVxGyKcPG18mRKljoCIioqixj4qIiKLGQEVERFFjoCIioqgxUBERUdQYqIiIKGoMVEREFDUGKiIiihoDFRERRY2BioiIosZARUREUWOgIiKiqDFQERFR1BioiAgi0rZtYqJie4yV7b1GiWCgoiRYhTezDeNURBa2IVx4XltEnrzznmzrkW3X74jIxM4fneZVnIYFgvGx92E6RpnbPY0YrNLGbT4oKRZEBnCbKZZWzLb76b/7bC5oletvAPNwnyz7fTfGvbHstV6danPJqmVu5foz2CSTEsIWFaVmbF/vyk6wivFx3x1wbbflxw3XfBO86mbpvscT74BcqcytXOciUrTzLCWAgYqSYhXyHEDHdkkucot15Xos10e+3rEMAZw0VXmkMr+H2/mZEsRARSna9gn/Yt/W1CYi0sfxA19lWb/PiVtTmUplbq2qpYh0j35nFL1/6r4BovemqlMRWcF9is9VnPaJ/1f4HEtNfQXwxw59AjDb1udkqbWe/dj1BhP8p6rT4Lxs0MYnAH9U9aHgel2756Wd/+Q9r6eqPTuvDddaegJwDqANYBgEpT5cSyf8Gx0A3+05P+CCTBYgLgD8UtUHu5eshdQDMCorj0PKvMAcLn0aXT8fnZiq8sFHcg+4dJcCuA2OjwG0gmMdAAsA7eD4DMCg4Nik4O8t4EbWFd1LP7y+3cckOK9r99wKrntr3w+88xbBeV0Ar8GxWfj6C+459xrhgpfCDY7oesdvAbweq8xLnn8L4Knu/x0+3v/B1B+l6k0qylpNZ+rSTL4JgKm+TZEN4YZOl/W77OMM65ZR9jf7wdD4OwDL4P6e7T6g6xZYdr9/z9N1S8efK9UG8LLhnpYAvnjXhVcGPc23nh4BtLYMI9+nzIu8IF9GlAim/ihJqroUkWe4Dv62VcDXCPqSLAi1UZCaUtVnEQGAG7iAcei9TAFMbS7WAC71l1XIZwCySvzFfi5l99uCCxrhBN65d63w2mXK+q/KXm9pINm1zLfcC+dTJYgtKkrZvX0d2tewlQCsK8ZNFXqlFpWItGwO0QiuJTTEuvL2K/4RXADqZM+DS+kNvXO+2NeZqn4LHle6/6TeshbXn5Lj2+xS5kQ5bFFRstR18APAtYiMUdyhn7UoNqWc9h41JyKDIFXX0pIJrUH6bwjgxgYyfAJwqfnRctk8rl1aHu+eStuxzMuc4YCypuZji4pS9w2usp7Y9zkWBFZYj9z7yxsq/WZZoAIr5NN25973XQDT/Om5QPPFfu4AeFbVoao+2NdcCs5+XsKlI8P7bQWTZpfYkko8kY1lvkEb21OV9AExUFHqshRbOEjBdwnXAghTfCMADwWpq6JWyiPKU4Srgt9deN+34YLKCm7wRtf6szolgxeu4PqBwj6qEfKB4RlAHcsS7VLmRT6DQ9OTxLX+KHnWPzTc1FfizUvKKtZsIde5/b4DN8+qb7+fIpi35M2hWtpzl961R3CpuAVcSu8eboTeDdycqwfvXsOgtgLwQ1XD0XTfw2v6gcFahGNV9Vt3Za/l3l7zHVwLcAVb09DW8utjHVCzfrZSu5R5yXP2Wn+RPgYGKqKGEJEZXGCZ2s8tuNRdBy7QjbVgkvCWay7gBjRE3fdjwXwWBlVKA1N/RA1gyzBlQ9lh369UdWnHRijoR9vBCPlRg7G6Q4TLUNH7YKAiaoY5gPaGycVXOKAit+Hq7Zj3e8qG4e/bWqSPg6k/oobw1hsE8msOtuDSfgf13XgbJx7SIjs5S3nexZ6epNNhoCKiLFh1D5gQfFI2cnHOIJU2BioiIooa+6iIiChqDFRERBQ1BioiIooaAxUREUWNgYqIiKLGQEVERFH7H6aUZXHAWgRZAAAAAElFTkSuQmCC\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "with plt.style.context(['science']):\n", " fig,ax=plt.subplots(figsize=(3, 3), dpi=150)\n", " for p in[10,15,20,30,50,100]:\n", " ax.plot(x,function(x,p),label=p)\n", " ax.legend(title='Order')\n", " ax.autoscale(tight=True)\n", " ax.set(**pparam)\n", " #fig.savefig('figures/fig1.pdf')\n", " #fig.savefig('figures/fig1.jpg',dpi=300)" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "ExecuteTime": { "end_time": "2021-10-02T22:22:06.764868Z", "start_time": "2021-10-02T22:22:01.276366Z" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "with plt.style.context(['science','ieee']):\n", " fig,ax=plt.subplots(figsize=(3, 3), dpi=150)\n", " for p in[10,15,20,30,50,100]:\n", " ax.plot(x,function(x,p),label=p)\n", " ax.legend(title='Order')\n", " ax.autoscale(tight=True)\n", " ax.set(**pparam)" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "ExecuteTime": { "end_time": "2021-10-02T22:31:54.309479Z", "start_time": "2021-10-02T22:31:49.154277Z" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "with plt.style.context(['science','nature']):\n", " fig,ax=plt.subplots(figsize=(3, 3), dpi=150)\n", " for p in[10,15,20,30,50,100]:\n", " ax.plot(x,function(x,p),label=p)\n", " ax.legend(title='Order')\n", " ax.autoscale(tight=True)\n", " ax.set(**pparam)" ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "ExecuteTime": { "end_time": "2021-10-02T22:32:18.701282Z", "start_time": "2021-10-02T22:32:15.913858Z" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "with plt.style.context(['science','notebook']):\n", " fig,ax=plt.subplots(figsize=(3, 3), dpi=150)\n", " for p in[10,15,20,30,50,100]:\n", " ax.plot(x,function(x,p),label=p)\n", " ax.legend(title='Order')\n", " ax.autoscale(tight=True)\n", " ax.set(**pparam)" ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "ExecuteTime": { "end_time": "2021-10-02T22:33:15.574167Z", "start_time": "2021-10-02T22:33:15.220059Z" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "with plt.style.context(['science','bright']):\n", " fig,ax=plt.subplots(figsize=(3, 3), dpi=150)\n", " for p in[10,15,20,30,50,100]:\n", " ax.plot(x,function(x,p),label=p)\n", " ax.legend(title='Order')\n", " ax.autoscale(tight=True)\n", " ax.set(**pparam)" ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "ExecuteTime": { "end_time": "2021-10-02T22:34:10.278211Z", "start_time": "2021-10-02T22:34:09.939885Z" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "with plt.style.context(['science','high-vis']):\n", " fig,ax=plt.subplots(figsize=(3, 3), dpi=150)\n", " for p in[10,15,20,30,50,100]:\n", " ax.plot(x,function(x,p),label=p)\n", " ax.legend(title='Order')\n", " ax.autoscale(tight=True)\n", " ax.set(**pparam)" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "ExecuteTime": { "end_time": "2021-10-02T22:25:34.663491Z", "start_time": "2021-10-02T22:25:32.449046Z" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "with plt.style.context(['dark_background','science','high-vis']):\n", " fig,ax=plt.subplots(figsize = (3, 3), dpi = 200)\n", " for p in[10,15,20,30,50,100]:\n", " ax.plot(x,function(x,p),label=p)\n", " ax.legend(title='Order')\n", " ax.autoscale(tight=True)\n", " ax.set(**pparam)" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "ExecuteTime": { "end_time": "2021-10-02T22:24:21.667801Z", "start_time": "2021-10-02T22:24:18.978655Z" } }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "with plt.style.context(['science','scatter']):\n", " fig,ax=plt.subplots(figsize=(4,4), dpi=150)\n", " ax.plot([-2,2],[-2,2],'k--')\n", " ax.fill_between([-2,2],[-2.2,1.8],[-1.8,2.2],\n", " color='dodgerblue',alpha=0.2,lw=0)\n", " for i in range(7):\n", " x1=np.random.normal(0,0.5,10)\n", " y1=x1+np.random.normal(0,0.2,10)\n", " ax.plot(x1,y1,label=r\"$^\\#${}\".format(i+1))\n", " ax.legend(title='Sample',loc=2)\n", " xlbl=r\"$\\log_{10}\\left(\\frac{L_\\mathrm{IR}}{\\mathrm{L}_\\odot}\\right)$\"\n", " ylbl=r\"$\\log_{10}\\left(\\frac{L_\\mathrm{6.2}}{\\mathrm{L}_\\odot}\\right)$\"\n", " ax.set_xlabel(xlbl)\n", " ax.set_ylabel(ylbl)\n", " ax.set_xlim([-2,2])\n", " ax.set_ylim([-2,2])\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Common xlabel/ylabel for matplotlib subplots\n", "\n", "https://stackoverflow.com/questions/6963035/pyplot-axes-labels-for-subplots\n", "\n", "**New** in matplotlib 3.4.0\n", "\n", "We can now use `supxlabel` and `supylabel` to set a common xlabel and ylabel.\n", "\n", "Note that these are `FigureBase` methods, so they can be used with either `Figure` and `SubFigure`.\n", "\n" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "ExecuteTime": { "end_time": "2021-10-05T00:18:22.785724Z", "start_time": "2021-10-05T00:18:06.144866Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Collecting matplotlib\n", " Using cached matplotlib-3.4.3-cp37-cp37m-macosx_10_9_x86_64.whl (7.2 MB)\n", "Requirement already satisfied, skipping upgrade: pyparsing>=2.2.1 in /opt/anaconda3/lib/python3.7/site-packages (from matplotlib) (2.4.2)\n", "Requirement already satisfied, skipping upgrade: numpy>=1.16 in /opt/anaconda3/lib/python3.7/site-packages (from matplotlib) (1.20.3)\n", "Requirement already satisfied, skipping upgrade: python-dateutil>=2.7 in /opt/anaconda3/lib/python3.7/site-packages (from matplotlib) (2.8.1)\n", "Requirement already satisfied, skipping upgrade: kiwisolver>=1.0.1 in /opt/anaconda3/lib/python3.7/site-packages (from matplotlib) (1.1.0)\n", "Requirement already satisfied, skipping upgrade: pillow>=6.2.0 in /opt/anaconda3/lib/python3.7/site-packages (from matplotlib) (8.0.0)\n", "Requirement already satisfied, skipping upgrade: cycler>=0.10 in /opt/anaconda3/lib/python3.7/site-packages (from matplotlib) (0.10.0)\n", "Requirement already satisfied, skipping upgrade: six>=1.5 in /opt/anaconda3/lib/python3.7/site-packages (from python-dateutil>=2.7->matplotlib) (1.12.0)\n", "Requirement already satisfied, skipping upgrade: setuptools in /opt/anaconda3/lib/python3.7/site-packages (from kiwisolver>=1.0.1->matplotlib) (58.1.0)\n", "\u001b[31mERROR: pytorch-forecasting 0.9.0 has requirement scikit-learn<0.25,>=0.23, but you'll have scikit-learn 1.0 which is incompatible.\u001b[0m\n", "\u001b[31mERROR: datapane 0.8.1 has requirement ruamel.yaml<0.17.0,>=0.16.5, but you'll have ruamel-yaml 0.15.87 which is incompatible.\u001b[0m\n", "Installing collected packages: matplotlib\n", " Attempting uninstall: matplotlib\n", " Found existing installation: matplotlib 3.1.3\n", " Uninstalling matplotlib-3.1.3:\n", " Successfully uninstalled matplotlib-3.1.3\n", "Successfully installed matplotlib-3.4.3\n", "Note: you may need to restart the kernel to use updated packages.\n" ] } ], "source": [ "pip install --upgrade matplotlib" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "ExecuteTime": { "end_time": "2021-10-05T00:21:44.229616Z", "start_time": "2021-10-05T00:21:43.508765Z" } }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "import pylab as plt\n", "import numpy as np\n", "\n", "x = np.arange(0.01, 10.01, 0.01)\n", "y = 2 ** x\n", "\n", "fig, (ax1, ax2) = plt.subplots(2, 1)\n", "ax1.loglog(y, x)\n", "ax2.loglog(x, y)\n", "\n", "# subplot titles\n", "ax1.set_title('A')\n", "ax2.set_title('B')\n", "\n", "# common labels\n", "fig.supxlabel('fig.supxlabel')\n", "fig.supylabel('fig.supylabel')\n", "\n", "plt.tight_layout()" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "ExecuteTime": { "end_time": "2021-10-05T00:21:32.440708Z", "start_time": "2021-10-05T00:21:31.770877Z" } }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "import pylab as plt\n", "import numpy as np\n", "\n", "x = np.arange(0.01, 10.01, 0.01)\n", "y = 2 ** x\n", "\n", "fig = plt.figure()\n", "\n", "plt.subplot(2, 1, 1)\n", "plt.loglog(y, x)\n", "plt.title('A')\n", "plt.subplot(2, 1, 2)\n", "plt.loglog(x, y)\n", "plt.title('B')\n", "# common labels\n", "fig.supxlabel('fig.supxlabel')\n", "fig.supylabel('fig.supylabel')\n", "\n", "plt.tight_layout()" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "ExecuteTime": { "end_time": "2021-10-05T00:25:49.895312Z", "start_time": "2021-10-05T00:25:47.718122Z" } }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "with plt.style.context(['science','nature']):\n", " fig = plt.figure(figsize=(4,4), dpi=150)\n", " plt.subplot(2, 1, 1)\n", " plt.loglog(y, x)\n", " plt.title('A')\n", " plt.subplot(2, 1, 2)\n", " plt.loglog(x, y)\n", " plt.title('B')\n", " # common labels\n", " fig.supxlabel('fig.supxlabel')\n", " fig.supylabel('fig.supylabel')\n", "\n", " plt.tight_layout()" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.9.7" }, "toc": { "base_numbering": 1, "nav_menu": {}, "number_sections": false, "sideBar": true, "skip_h1_title": false, "title_cell": "Table of Contents", "title_sidebar": "Contents", "toc_cell": false, "toc_position": {}, "toc_section_display": true, "toc_window_display": false } }, "nbformat": 4, "nbformat_minor": 4 }