From 195fa82b12dd927177d7437cdf49f4e98a44b708 Mon Sep 17 00:00:00 2001 From: David Zwicker Date: Mon, 29 Apr 2024 21:21:28 +0200 Subject: [PATCH] Fixed tutorial notebook --- .../Using the py-droplets package.ipynb | 625 +++--------------- 1 file changed, 86 insertions(+), 539 deletions(-) diff --git a/examples/tutorial/Using the py-droplets package.ipynb b/examples/tutorial/Using the py-droplets package.ipynb index ba15fe1..cc47b24 100644 --- a/examples/tutorial/Using the py-droplets package.ipynb +++ b/examples/tutorial/Using the py-droplets package.ipynb @@ -11,13 +11,13 @@ }, { "cell_type": "code", - "execution_count": 1, + "execution_count": null, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "\n", - "# import the packages\n", + "# import necessary packages\n", "import pde\n", "import droplets" ] @@ -33,20 +33,9 @@ }, { "cell_type": "code", - "execution_count": 2, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "12.566370614359172" - ] - }, - "execution_count": 2, - "metadata": {}, - "output_type": "execute_result" - } - ], + "execution_count": null, + "metadata": {}, + "outputs": [], "source": [ "drop1 = droplets.SphericalDroplet(position=[3, 4], radius=2)\n", "drop1.volume" @@ -54,36 +43,9 @@ }, { "cell_type": "code", - "execution_count": 3, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "" - ] - }, - "execution_count": 3, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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C9wKfzcxPTbI4SZJUxPr2uCkz5xYOZObWiLiCJqAdDnxsJ+epkhuGEMCe1B7/A7gaeNzCwYi4HHhOZn6zdmGSJE2jZif8sucr4MD2eP2I8RtoAtgB7DyAVckNQwhge7XHlwA3A08DPgP8PPAW4Djg/TQL6kaKiKtGDK0rUqUkSVNkDDvhrxv1WZuZBy/j+9e2x7tGjM+/vscS5ymSG5Yy82vAgPu1x6BJrB/LzO9m5heBE4GvAU+NiCMmVqEkSRq3+cS4VMOtSm4YQgfsW+3xpsz8/MKBzLwnIi4DXkhzm+rIed1R6btN6wcVqlWSpOlQvgN27TI7XaPMd7jWjhjffdH7RimSG5YyhA7Yde3x2yPG5y/0T1eoRZIkjcf85/0BI8b3b4+j1ogtPs9Yc8MQOmCXAz8A9o+In8rM7y0af2x73FK1KhVx2a2fm3QJq8pxj3jCpEuQNARZdhF+oVX4m9vjhojYZeGdkBGxG3AUcA/w6SXOUyU3zHwHLDNvB95H05J83cKxiPhlmsV0dwEfqV+dJEkqITNvBDYB+wCnLBo+G1gDvCszt0GzmWpErGt3z194niq5YQgdMICXA4cBZ0TEU4DP0tzNcCKwHXhxZo5qNUqSpMVKdsDKeSnNo4g2RsSxwDU0n//H0Ew9nrHgvXu347fQhLaFxp4bBhHAMvMbEXEY8Bqai3c4sBX4O+BPMnOpdqQkSVpgDNtQ9JaZN0bEIcDrgeOBZ9A8w3EjcHZm3rnM84w9NwwigAG0F/3l7ZckSZpBmflV4AXLeN8WdvIMpHHnhsEEMEmSVNDqnIKcGjO/CF+SJGm1sQOmVcMtJfpb6TV0+wpJXa3GNWDTxAAmSZK6ScpOQQ5wOtMpSEmSpMrsgEmSpI6CndxAuMLzDYsdMEmSpMrsgEmSpO4GuG6rJAOYqvJOx9Vp1O+Ld0dKGskA1otTkJIkSZXZAZMkSd25D1gvdsAkSZIqswMmSZI6SSALrgEb4nIyO2CSJEmV2QGTJEnd+Cii3gxgKs6tJmbHzn4v3aJCGjgX4ffiFKQkSVJldsAkSVInAUTBacMh9tLsgEmSJFVmB0ySJHU3wIXzJRnAJElSdy7C78UpSEmSpMrsgGlF3GpCblEhDZj7gPVmB0ySJKkyO2CSJKm7AXatSjKASZKk7gxgvTgFKUmSVJkdMEmS1J3bUPRiB0ySJKkyO2Aaya0mtFJuUSHNvpLPghyiYh2wiNir1LkkSZJmWckpyK9GxPsiYn3Bc0qSpNUmx/A1MCUD2PXAScDfR8T1EfGKiHhowfNLkiTNhGIBLDMfBzwZ+Ctgb+C/A1+LiPdExFNK/RxJkqRpV/QuyMy8MjN/F3gEcBrwZeA3gc0RcU1EnBYRe5b8mZIkqb7Icl9DNJZtKDLzrsw8b0FX7F3AzwHnAP8eERdFxCHj+NmSJEmrXY1tKO4AvgXcC/w08FPA84GTI+LDwH/JzDsr1CFpFXCLCmkWROGNWIe3qetYOmARsWtEPDciNgNfAk4Hvgm8HHgYsB64DHgmcP44apAkSWPkHZC9FO2ARcQvAL8H/C7wUGA7cAlwQWZ+bMFb/wH4h4i4GDi+ZA2SJEmrXbEAFhEfBY6h6SPeCrwB+F+ZeetOvu0q4MRSNUiSpEoG2rkqpWQHbD2wGbgAuCQzty/jez5ME9YkSZIGo2QAe0xmXtflGzLzC8AXCtYgSZIqGOr2EaUUC2Bdw5dWDx+6LUnqpPTi+QGGubHcBSlJkqTRauwDJkmSZs0Au1Yl2QGTJEmqzA6YJEnqzEX4/dgBkyRJqswOmCRJ6q7osyCHxwAmSZK6cwqyF6cgJUmSKrMDJkmSOoksuwh/iAv67YBJkiRVZgdMkiR1N8CuVUkGMEmS1NkQpw1LcgpSkiSpMjtgklaNy2793A5fP+4RT6hciaQl2QHrxQ6YJElSZXbAJElSd3bAejGASZKkbgrvAzbEMOcUpCRJUmUGMEmSpMoMYJIkSZW5BkySJHU3wHVbJdkBkyRJqswOmCRJ6sxHEfVjAJMkSd0ZwHpxClKSJKkyO2CSJKk7O2C9GMAGYtRDjiVJUn0GMEmS1I2PIurNACZJkrobYGgqaZCL8CPi5IjI9utFk65HkiSVERGPjIgLI+LWiLgvIrZExLkRsWePcxbPDYPrgEXEo4DzgO8CD55wOZIkTZ2g7BRklDpPxH7AlcBewIeAa4FDgdOA4yPiqMy8o+M5x5IbBtUBi4gA/jdwB/COCZcjSZLKuoAmfJ2amSdk5qszcz3wVuBA4I1dTjbO3DCoAAacCqwHXgBsm3AtkiRNryz4VUBE7AtsALYA5y8aPpPmc//kiFjT4bRjyw2DCWAR8RjgTcDbMvPySdcjSdJUW2UBjCYoAWzKzLkfKzVzK3AF8CDg8OWcbNy5YRABLCLuD/wV8BXgjyZcjiRJKu/A9nj9iPEb2uMBS52oRm4YyiL81wFPBJ6cmfes5AQRcdWIoXUrrkqSpGk0nn3A1o36rM3Mg5dxlrXt8a4R4/Ov77GMc/XODUuZ+Q5YRBxKk17fkpmfmnQ9kiRpIuZvttxpdKyVG2a6A7aghXg98No+5xqVvtu0flCfc0uSNHXKb8R67TI7XaPMd7jWjhjffdH7fkLJ3LCUWe+APZhmrvcxwL0LNlFLmjsiAP68fe3ciVUpSZL6uq49jlrjtX97HLVGDCrmhpnugAH3AX8xYuwgmvndT9L8pjk9KUnScq2+RxFtbo8bImKXhXdCRsRuwFHAPcCnd3KOarlhpgNYu3Buh48MiIizaC7kX2bmO2vWJUnStCu6CL+AzLwxIjbR7AV2Cs3u9fPOBtYAf5aZ2wAiYldgP+D7mXlje45quWGmA5gkSRqUl9I8imhjRBwLXAMcBhxDM/V4xoL37t2O3wLsU7fM2V8DJkmSxmH1bcRK28k6BLiIJni9gqbLtRE4outzIMdpsB2wzDwLOGvCZUiSpIIy86s0jw5a6n1b6PAc8NK5YbABTJIkrdB4NmIdFAOYJEnqboChqSTXgEmSJFVmB2wgjnvEE0aOXXbr5ypWIkmaCXbAerEDJkmSVJkdMEmS1Nmybx/UDhnAJElSd05B9uIUpCRJUmV2wCRJUidB2X3AhjidaQdMkiSpMjtgkiSpm8LPcBziejI7YJIkSZXZAZMkSd0NsGtVkgFMkiR1VvRh3APkFKQkSVJldsAkSVJ3dsB6MYBJWjV29tB4SZolBjBJktSZa8D6MYBJkqRu3AesNxfhS5IkVWYHTJIkdeYUZD92wCRJkiqzAyZJkrqzA9aLAUySJHVnAOvFKUhJkqTK7IBJkqTOXITfjx0wSZKkyuyASZKkbtyItTcDmCRJ6iSAyHKpKYqdaXo4BSlJklSZHTBx3COesMPXL7v1c5Ur0RCM+vMmacoMcNqwJDtgkiRJldkBkyRJnbkNRT92wCRJkiqzAyZJkrqzA9aLAUySJHWThacgBxjmnIKUJEmqzA6YRtrZdgFuUSFJAzfArlVJdsAkSZIqswMmSZI6cxuKfgxgkiSpOwNYL05BSpIkVWYHTJIkdeYUZD92wCRJkiqzAyapuJ1tYSJpBmQ2XyXPNzAGMEmS1ElQdgoyyp1qajgFKUmSVJkdMEmS1N3wZg2LsgMmSZJUmR0wSZLUWcxNuoLpZgDTivigbnmnoyStnAFMkiR1k5RdAzbA9WQGMEmS1Jk74ffjInxJkqTK7IBJkqTuBrh7fUl2wCRJkiqzAyZJkjpzDVg/BjAV5xYVs8OtJiSNZADrxSlISZKkyuyASZKkbrLwFOQAu2l2wCRJkiqzAyZJkrpzG4peDGCSJKmToOwUZJQ71dRwClKSJKkyO2CqaiXbGrh1xfi53YSkzpyB7MUOmCRJUmV2wCRJUmfuhN+PHTBJkqTK7IBJkqRuEpgr2AIbYDfNACZJkrobYGgqySlISZKkyuyAadVb6RYJs7p9hVtGSFoNXITfz8x3wCLioRHxooj4YER8OSLuiYi7IuKTEfHCiJj5ayBJ0lBExCMj4sKIuDUi7ouILRFxbkTsuczvr5IbhtABOwl4O3AbsBn4CvCzwLOBdwJPj4iTMn2olSRJy7YKPzYjYj/gSmAv4EPAtcChwGnA8RFxVGbescRpquSGIQSw64FnAn+XmXPzL0bEHwGfBX6d5qJ+YDLlSZI0ZbLwFGS5c11AE75Ozczz5l+MiHOAlwFvBF6yxDmq5IaZn37LzI9n5ocXXsT29a8D72h/eXT1wiRJUjERsS+wAdgCnL9o+ExgG3ByRKzZ2Xlq5YaZD2BL+H57/MFEq5Akadpkwa8y1rfHTTsIT1uBK4AHAYf3+BnFcsNgA1hE3B94fvvLj0yyFkmS1NuB7fH6EeM3tMcDVnLy0rlhCGvARnkT8Fjg0sy8bKk3R8RVI4bWFa1KxbhdgySNSxJFF+EnwLpRn7WZefAyTrK2Pd41Ynz+9T261fZDnXLDUgYZwCLiVOAVNHdHnDzhciRJmj5zS79llYn22Dk5jiM3DC6ARcQpwNuALwHHZuady/m+Uem7TesHlatQkqRBunaZna5R5jtca0eM777ofcuy0tywlEEFsIg4HXgr8AWai/iNCZckSdLUiaToFGShLS2ua4+j1njt3x5HrRH7CePMDYNZhB8Rr6K5iJ8DjjF8SZI0Uza3xw2Ld6uPiN2Ao4B7gE8v52Tjzg2DCGAR8VqaxXNX0STY2ydckiRJ022VbUORmTcCm4B9gFMWDZ8NrAHelZnbACJi14hY1+6e/2Nq5IaZn4KMiN8BXg9sBz4BnBoRi9+2JTMvqlyaJEkq66U0jyLaGBHHAtcAhwHH0Ew9nrHgvXu347fQhDagXm6Y+QAGPLo93g84fcR7/hG4qEo1kiTNglX4LMjMvDEiDqEJUMcDz6B5puNG4OxlLqCvkhtmPoBl5lnAWRMuQ5KkmVL0WZAFZeZXgRcs431b+NHWFAtfP4sKuWEQa8AkSZJWk5nvgEmSpDFYhVOQ08QOmCRJUmV2wCRJUjcJUfJRRANsphnAJElSd05B9uIUpCRJUmV2wCRJUnc2wHqxAyZJklSZHTBJktRREkXXgA2vnWYAkyRJ3SRlF+EPL385BSlJklSbHTBJktRdyX3ABsgOmCRJUmV2wCRJUmdlF+EPjx0wSZKkyuyASZKk7uyA9WIAkyRJ3bgNRW9OQUqSJFVmB0ySJHXnNhS92AGTJEmqzA6YJEnqJAo/CzIGuAjMACZJkrrzLshenIKUJEmqzA6YJEnqxm0oerMDJkmSVJkdMEmS1J1rwHoxgEmSpO7cB6wXpyAlSZIqswMmSZI6K7kP2BDZAZMkSarMDpgkSeoms/A2FMPrptkBkyRJqswOmCRJ6m5ueF2rkgxgkiSpuwFOG5bkFKQkSVJldsAkSVJ3dsB6sQMmSZJUmR0wSZLUTVJ4G4pyp5oWBjBJktRRFr4LcngJzClISZKkyuyASZKk7nJu0hVMNTtgkiRJldkBkyRJ3bkNRS8GMEmS1E1SdhH+ALOcU5CSJEmV2QGTJEkdZeEpyOG1wOyASZIkVWYHTJIkdeci/F7sgEmSJFVmB0ySJHVnB6wXA5gkSeomgbmCO+EPMMs5BSlJklSZHTBJktSR21D0ZQdMkiSpMjtgkiSpOxfh92IAkyRJ3fgsyN6cgpQkSarMDpgkSeoss+A2FANkB0ySJKkyO2CSJKmjLLsGbICLwAxgkiSpO++C7MUpSEmSpMrsgEmSpG58FmRvdsAkSZIqswMmSZK6cw1YL3bAJEmSKrMDJkmSOkmSLLgGLAe4CMwAJkmSuknKTkEOL385BSlJklSbHTBJktRd0Z3wh8cOmCRJUmV2wCRJUkcJWXAj1gEuAhtMBywiHhkRF0bErRFxX0RsiYhzI2LPSdcmSdJUSci5LPZVMn+V+rwfd24YRAcsIvYDrgT2Aj4EXAscCpwGHB8RR2XmHRMsUZIk9VTq875GbhhKB+wCmot4amaekJmvzsz1wFuBA4E3TrQ6SZKmTc6V+yqn1Of92HPDzAewiNgX2ABsAc5fNHwmsA04OSLWVC5NkiQVUurzvlZumPkABqxvj5syfzxmZ+ZW4ArgQcDhtQuTJGlaFV0DVkapz/squWEIASyFspUAAAp0SURBVOzA9nj9iPEb2uMBFWqRJGkGZOEpyCIhrNTnfZXcMIRF+Gvb410jxudf32NnJ4mIq0YMPX4bW/lMfnQltUmSNHHb2AqwT5f3l/zca3/+ulGftZl58DJOU+TzvuB5dmoIAWwp0R5XGr93mWP79q18+/OlCtIPrWuP1060itnktR0fr+34eG3H5/HAg5f53mvn2M5Wvl26hn1Kn3CRvp/3Rc8zhAA2n1TXjhjffdH7dmhU+p5P68tM5+rAazs+Xtvx8dqOj9d2fHYyy/MTMvO3xllLD0U+7wueZ6eGsAbsuvY4aq52//Y4aq5XkiStfqU+76vkhiEEsM3tcUNE/Nj/3ojYDTgKuAf4dO3CJElSMaU+76vkhpkPYJl5I7CJZm75lEXDZwNrgHdl5rbKpUmSpEK6ft5HxK4Rsa7d9X7F51mpIawBA3gpzSMFNkbEscA1wGHAMTQtxDMmWJskSSqjy+f93u34LfzkDQBjzw0z3wGDH6bZQ4CLaC7gK4D9gI3AET4HUpKk6Vfq875GbojMgo8glyRJ0pIG0QGTJElaTQxgkiRJlRnAJEmSKjOASZIkVWYAkyRJqswAJkmSVJkBTJIkqTID2ApFxCMj4sKIuDUi7ouILRFxbkTsOenaplVEPDQiXhQRH4yIL0fEPRFxV0R8MiJeuPiZXOonIk6OiGy/XjTpemZBRPxSRHwgIm5r/164LSI2RcQzJl3bNIuIX2mv49favxduioj3R8QRk65ttYuI50TEeRHxiYj4Tvvf+7uX+J4jI+LSiLgzIu6OiH+NiNMj4n616h6CoTyKqKj2uVFXAnsBHwKuBQ4FTgOOj4ij3F1/RU4C3g7cRvMw1K8APws8G3gn8PSIOCndPbi3iHgUcB7wXeDBEy5nJkTEa4A3ALcDf0vz5/hhwBOBo4FLJ1bcFIuINwN/CNwBXEJzfX8BeBbw6xHx/MzcaaAYuNcAj6f5b/1rwLqdvTkingV8ALgXeB9wJ/BrwFtpHkJ90jiLHRJ3wl+BiLgM2ACcmpnnLXj9HOBlwJ9l5ksmVd+0ioj1NA85/bvMnFvw+sOBzwKPAp6TmR+YUIkzISIC+Hvg0cD/BV4JvDgz3znRwqZYRJwE/B/go8CzM3ProvFdM/P7EyluirX/7f878E3gFzPzGwvGjgE+DtycmftOqMRVr71OXwO+DDyV5h+378nM397Be3dv37cWOCoz/7l9/YE01/oI4Dcz872Vyp9pTul0FBH70oSvLcD5i4bPBLYBJ0fEmsqlTb3M/Hhmfnhh+Gpf/zrwjvaXR1cvbPacCqwHXkDz51U9tFPjbwbuBp63OHwBGL5W7OdpPqc+szB8AWTmZmAr8DOTKGxaZObmzLxhmTMHz6G5nu+dD1/tOe6l6aQB/MEYyhwkA1h369vjph0Eha3AFcCDgMNrFzbj5j/AfjDRKqZcRDwGeBPwtsy8fNL1zIgjabqJlwLfatcrvSoiTnONUm83AN8DDo2Ihy0ciIinALvRdB1Vxvzn20d2MHY5zT8yjoyIB9QraXa5Bqy7A9vj9SPGb6DpkB0AfKxKRTMuIu4PPL/95Y7+YtAytNfxr2jW1v3RhMuZJU9qj/8BXA08buFgRFxOM3X+zdqFTbvMvDMiXgWcA3wpIi6hWQu2H/BMmqn0359gibNm5OdbZv4gIm4G/jOwL3BNzcJmkQGsu7Xt8a4R4/Ov71GhlqF4E/BY4NLMvGzSxUyx19EsCH9yZt4z6WJmyF7t8SXAzcDTgM/QTJ+9BTgOeD9On69IZp4bEVuAC4EXLxj6MnDR4qlJ9eLnW0VOQZYX7dG7GwqIiFOBV9DcaXryhMuZWhFxKE3X6y2Z+alJ1zNj5m/ND5pO18cy87uZ+UXgRJoF0E91OnJlIuIPgYuBi2g6X2uAg4GbgPdExJ9OrrrB8fOtIANYd/P/Alg7Ynz3Re/TCkXEKcDbgC8Bx2TmnRMuaSotmHq8HnjthMuZRd9qjzdl5ucXDrSdxvmu7aFVq5oBEXE0zQ0Of5OZL8/MmzLz7sy8mibc/jvwivbmKPXn51tFBrDurmuPB4wY3789jlojpmWIiNOB/wl8gSZ8fX3CJU2zB9P8eX0McO+CzVeT5s5dgD9vXzt3YlVOr/m/E749Ynw+oP10hVpmza+2x82LBzLzbprtaXahmVpXfyM/39p/yD2a5kaom2oWNatcA9bd/F8EGyJil0X7Ve1Gs1HdPcCnJ1HcLGgX3b4J+Bzwy5l5+4RLmnb3AX8xYuwgmg+vT9L85ev0ZHeX03wo7R8RP5WZ31s0/tj2uKVqVbNh/m67UVtNzL+++JprZT4O/BZwPPDXi8aeQnOH/+WZeV/twmaRHbCOMvNGYBOwD3DKouGzadYnvCsz3V9pBSLitTTh6yrgWMNXf5l5T2a+aEdfwN+0b/vL9rX3TbLWadT+GX0fzbTN6xaORcQv0yzCvwvv4F2JT7TH34uIvRcORMTTaf7Bey/Nk0nU38U0Txp4bkQcMv9iuxHrH7e/fPskCptF7oS/Ajt4FNE1wGHAMTRTj0f6KKLuIuJ3aBbabqd5TM6O1hlsycyLKpY10yLiLJppSHfC7yEi9qLZA/AXaELDZ2nugjyRZsHy8zLz/ZOrcDq1m9xeRnNn6Vbgg8DXaabTf5VmUfjpmfm2iRW5ykXECcAJ7S8fTvMPgpv4Ubi9PTNfuej9F9ME2/fSPIromTRbVFwM/IaPgyvDALZC7bP0Xk/Tqn0ozXPfLgHOdrH4yiwIAzvzj5l59PirGQYDWDkR8RCa3cJPBPamCQyfBP4kM12SsEIRsSvNbMNzgf9EMw12J03I3ZiZmyZY3qq3jL9Xb8nMfRZ9z1HAGTSPHnogzZYfF9Jc7+3jqXR4DGCSJEmVuQZMkiSpMgOYJElSZQYwSZKkygxgkiRJlRnAJEmSKjOASZIkVWYAkyRJqswAJkmSVJkBTJIkqTIDmCRJUmUGMEmSpMoMYJIkSZUZwCRJkiozgEmSJFVmAJMkSarMACZp1YmISyIiI+K/7mDsDe3YOydRmySVEJk56Rok6cdExEOAfwF+FjgiM/+lff1YYBNwLfCkzLx7clVK0soZwCStShFxJPCPwM3AQcCDgM8Da2nC1xcnWJ4k9eIUpKRVKTOvBF4L7A/8GfBu4OHAqYYvSdPODpikVSsiAvh/wHHtS3+dmc+bYEmSVIQdMEmrVjb/QvzggpfOnVQtklSSHTBJq1ZE7A9cDXyfZu3XF4FDM/PeiRYmST3ZAZO0KkXEA4D3AWuA5wJ/AjwOu2CSZoABTNJq9T+AJwJ/mpmbgDOBK4Dfj4jfmGhlktSTU5CSVp2IOIFm7ddngCdn5g/a1x8FfA64P/DEzLxpclVK0soZwCStKhHxczQhaxeakHXzovFnAZcA/0QTzr5Xv0pJ6scAJkmSVJlrwCRJkiozgEmSJFVmAJMkSarMACZJklSZAUySJKkyA5gkSVJlBjBJkqTKDGCSJEmVGcAkSZIqM4BJkiRVZgCTJEmqzAAmSZJUmQFMkiSpMgOYJElSZQYwSZKkygxgkiRJlRnAJEmSKvv/JwFpLHHS9OsAAAAASUVORK5CYII=\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "image/png": { - "height": 265, - "width": 304 - }, - "needs_background": "light" - }, - "output_type": "display_data" - } - ], + "execution_count": null, + "metadata": {}, + "outputs": [], "source": [ "grid = pde.CartesianGrid([[0, 10], [0, 10]], 64)\n", "field1 = drop1.get_phase_field(grid)\n", @@ -92,20 +54,9 @@ }, { "cell_type": "code", - "execution_count": 4, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "12.566370614359172" - ] - }, - "execution_count": 4, - "metadata": {}, - "output_type": "execute_result" - } - ], + "execution_count": null, + "metadata": {}, + "outputs": [], "source": [ "drop2 = droplets.DiffuseDroplet(position=[6, 8], radius=2, interface_width=0.3)\n", "drop2.volume" @@ -113,36 +64,9 @@ }, { "cell_type": "code", - "execution_count": 5, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "" - ] - }, - "execution_count": 5, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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\n", 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" - ] - }, - "metadata": { - "image/png": { - "height": 265, - "width": 304 - }, - "needs_background": "light" - }, - "output_type": "display_data" - } - ], + "execution_count": null, + "metadata": {}, + "outputs": [], "source": [ "field2 = drop2.get_phase_field(grid)\n", "field2.plot(colorbar=True)" @@ -150,46 +74,18 @@ }, { "cell_type": "code", - "execution_count": 6, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "image/png": { - "height": 265, - "width": 271 - }, - "needs_background": "light" - }, - "output_type": "display_data" - } - ], + "execution_count": null, + "metadata": {}, + "outputs": [], "source": [ "(field1 + field2).plot();" ] }, { "cell_type": "code", - "execution_count": 7, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "False" - ] - }, - "execution_count": 7, - "metadata": {}, - "output_type": "execute_result" - } - ], + "execution_count": null, + "metadata": {}, + "outputs": [], "source": [ "drop1.overlaps(drop2)" ] @@ -204,24 +100,9 @@ }, { "cell_type": "code", - "execution_count": 8, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "{'count': 2,\n", - " 'radius_mean': 2.0,\n", - " 'radius_std': 0.0,\n", - " 'volume_mean': 12.566370614359172,\n", - " 'volume_std': 0.0}" - ] - }, - "execution_count": 8, - "metadata": {}, - "output_type": "execute_result" - } - ], + "execution_count": null, + "metadata": {}, + "outputs": [], "source": [ "emulsion = droplets.Emulsion([drop1, drop2])\n", "emulsion.get_size_statistics()" @@ -229,73 +110,27 @@ }, { "cell_type": "code", - "execution_count": 9, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "array([[0., 5.],\n", - " [5., 0.]])" - ] - }, - "execution_count": 9, - "metadata": {}, - "output_type": "execute_result" - } - ], + "execution_count": null, + "metadata": {}, + "outputs": [], "source": [ "emulsion.get_pairwise_distances()" ] }, { "cell_type": "code", - "execution_count": 10, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "image/png": { - "height": 252, - "width": 257 - }, - "needs_background": "light" - }, - "output_type": "display_data" - } - ], + "execution_count": null, + "metadata": {}, + "outputs": [], "source": [ "grid = pde.CartesianGrid([[0, 10], [0, 10]], 64)\n", "emulsion.grid = grid\n", @@ -304,52 +139,18 @@ }, { "cell_type": "code", - "execution_count": 12, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", 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\n", 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\n", 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"cell_type": "code", - "execution_count": 16, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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PeI2N2uJNtibP5KmNw1fzq+ELV/XT2tUbn6K1lmK8odDu/vV0nice3khrGyp8+7t38c+SHSVpK6fPF5zGXK6ERIeXwHE/L97xkXLVfupns97fY86xHcr819xUB69NruUJned3PROdvq35IJ2n1fjyplr4dqzvuYjWRjviqZPQxJdnBbKvTiF41rDf0Gb2A2b2aTM7ZGYT+eO/mNkrIs/dbmafNbNeMxs1s11mdouZLfNMk4iIyPLWkGckzOxdAH4PwHEA/wjgEIA1AF4A4HoAn5313NcA+DSy/5f4FIBeAK8C8H4ALwXw+iXcdBERkRWl4QYSZvZ6ZIOILwD4iRDC0Jx6edZ/dwL4GIAqgOtDCDvz6e8GcCeAm8zs5hDCjqXafhERkZWkof60YWYFAO8DMArgZ+YOIgAghDD7j6w3AVgLYMfMICJ/zjiAd+U/vnXxtlhERGRla7QzEtsBbAVwO4A+M3slgEuR/dniGyGEr855/g354+ciy7oH2YBku5k1hxAmFmmbRUREVqxGG0i8KH88AuB+AJfNLprZPQBuCiEcyyddmD8+NndBIYRpM9sPYBuAcwDs9lZsZveREr+kVkREZIVrtIHEuvzxFwHsB/BDAL4O4GwAfwjgRwH8PbILLgGgK39knXtmpnfXe0MXjRe3WoRo6JJSzHNRmRODC23x5j/DZ/CI5+RlvAnRL5z/dVr7gdbvG9d/V4VE5A508wZhn6y8mNYeHDif1lqP8GZfzUPktTlN+EI17fPnN/QiNa+Jlre8xGiou40JQkhcHomqm9P4LKRue5XPN1yNfy6GarxZVrXAT3ofm+bH4uAYX2bzBIkcV5f2FgKNNpCY+fQYsjMP38l/fsjMXofszMN1ZvaSyJ85YmaOlHkD4CGEF0YXkJ2puOIk1iUiIrLiNNr/As40E943axABAAghjAH4fP7jTN/VmTMOXYjrnPM8ERERWYBGG0g8mj+y2+bNDDRmztPOPP+CuU80sxKyCzenAeyr1waKiIg8lzTaQOIeZL/4zzezpkj90vzxQP54Z/748shzrwXQCuBeJTZERETSNNRAIoRwHNndKbsA/Pbsmpn9MLKLLQfwbNzzdmR3v7zZzK6c9dwKgPfkP35kkTdbRERkxWq0iy0B4O0ArgbwTjO7FsA3kKU2XofsDpZvCSH0A0AIYdDM3oJsQHG3me1AdovsVyOLht6ObGAiIiIiCRpuIBFCOGpmVyO7M+XrALwYwBCAfwLw+yGEr815/h1mdh2AdwK4EUAFwF5kA5IPhJDasm8ReR36vE6didFQ89a3DCyb7qQObxuXzf71jg8SDZ3s4Nu+vmeQ1i6pxLsjAsDZpTFaq5BtbC0cofNcvWo/rd23cSutTXbzr7/mpnK84HVQ9Y5Tt+um876wLp/OPH5n0IV3GnV5y3O+Wt1PRM2JJxpZprftzvKaBnlHztanefT57oM8VkyXV5ykta+f2EJr43tYVgDoORKPIxdGeZtaGlM+ha/ZhhtIAEAIoRfZQODtJ/n8rwD4vq6gIiIicmoa6hoJERERWV40kBAREZFkGkiIiIhIMg0kREREJJkGEiIiIpKsIVMbKwXrqLcoiVSvWyBhqR0GPc5rC6SzorHIF+DGWpdLbLTe25EcJ/W6/k3H933Ruefr4DiPx/VX22htNBznC0V8G8cD/6qaqjlfY96h4xzDgcYunX2f8BnL5vPin/Flet0u3SikW1smMeWaF2Mnb6jzvhg5tgGg3Mtjkqse48dVb2FNdPrtm51G0s73WPNhEjcGsHY3/9y2PjUUL4zyiDXtYHsKv3d0RkJERESSaSAhIiIiyTSQEBERkWQaSIiIiEgyDSREREQkmQYSIiIikkzxz3ph0ZnErnSUE9FicVIAftfCSjzGZ5UKXx7rjjgfJ4oVxuNZwzDudLKb5B31DM66lkk0NIXbadSJmIUp3umQdQtsO8zn6d3Do27/d83ltDa1hh+LPcXh6PSDU6voPF88xjsxVp7hx2nTAM+2GtlX7lHjdvhM/Gyy7w8vapra/TO1RoQljJO6nVcdhVF+DLQf4NtfHop/N0494rwvgS/POxabj47QWqE3Hv8ME/x7kd1e4FS+EXVGQkRERJJpICEiIiLJNJAQERGRZBpIiIiISDINJERERCSZUhv1wq5qTmiE4qYvnBSIlfjbaR3ttFZb0xWdPraBN16a6ObrCs7wtDzKkyotR+LJgdLhfr6u/gFaq43xtMdKTXS4jblYsx4AYXQ0Or3lqUE6z7qdPEnxreoFtLbrnE201tEav3p9YJgniGwvP07XPsRfc5NzNTycq975hnipB+dz6yW7WDrDS2Y4y6PNyIC01IabRnG2w3vNJW/74+uzqpNkmuTJIy9FVhjkja9aRuPHR4u3P5zfBTbuHG9eAoMl2pzP+mLQGQkRERFJpoGEiIiIJNNAQkRERJJpICEiIiLJNJAQERGRZBpIiIiISDLFP5ejlDgY/Ijn9JlraO3EZfH4XN82HlcqbYzHBQGgXObRo5G+Flpr2xPf/jXfiTcVA4C2R/m+KhzvpTUvGgonGrqUjDU98o6BxOZQLC5mvTxe2/0gX1ylr4PWxnbxuOZ0c/wYWD3Oj8XWozwe13w43gQMAKw/3vAIAMLUFCk40eCC874kxjVphNJ5L92Ip7cur8kWmY/FMQEgNPFfL9UW3kxtqp3PV2uOr68wxd+X8iCPf5aGnMZtTkMvGyM1rxGj17Bw2omoelHOJY55MjojISIiIsk0kBAREZFkGkiIiIhIMg0kREREJJkGEiIiIpJMAwkRERFJpvjn6cSiWE6Ez5qbaK22qpPWei/mkbu+a+NRyFdezPN9V3fso7WKkegcgH2Ta2ntM5ufF51+tLyRznPGMO9A2TTKu/fZpNNtj3TQTO0KSmOcgB/lbIq/19bEo3NW5jU43WFTutfaIO+e2TLK47WVAwnb4cTcbIIfb2GcR/jcyB3jvZeexI6+PHbpdc90Yr5uZ9CE+GeZr2u6nR+LY2v599jIer6NUyRVXORvM1oP821sf4a/5vI0j3Iai3JW07rvurWEDtJLTWckREREJJkGEiIiIpJMAwkRERFJpoGEiIiIJNNAQkRERJJpICEiIiLJFP9cjpyIlhfvm1rNO2sOnM9Xd/35e6LTb+r5Jp3nnBLvqtjkRN0uaTpMax1nxiOD77/0B+k8w4+30lrPM3x/YIhvPxJigV7E05zYpbXx7ceqrujkag/v8jq5indKrTU5xxWJtpZGeSyt1M8zd8UBHg21Qb7vaddNJx5X8yJ3iXi3Ti9amRjxdKKcNOaZGvEsOTVvG8l81Qo/tie7eM2LeA6d67yfq+PHXG2Efy/WnM9f0wivlYZ5LUzEtz8xHNzwdEZCREREkmkgISIiIsk0kBAREZFkGkiIiIhIMg0kREREJJkGEiIiIpJM8c96YR3aagnRNKcjpNfBcarVqfXw+Ny29oPR6WcWeUyvp8C795WNb38ZPDJ4UfOh6PSz1vTReY538yhkqPBtNGcfByPRroLTDdCLeHaQloUAwhm8G+rAhfFurv3n8/H/2GYeXS208S6Ztan4/igd53HS9icqtNa9l0dvW/bz9xO9/dHJYcqJ5HqdE93YpfM5Y7zOvHXu8OnWUiOeTs1bZo3MF0r8NVfLTs1JZtfa+PvZ1hbv2jvm7PpqM/9setsYUjq9esdAqsSuw3x57HssfT06IyEiIiLJNJAQERGRZBpIiIiISDINJERERCSZBhIiIiKSTKmN5chLerB0CHjjJQCwKh8zjtfiDW/q3wqp/szZH/VfmdP0qoVfhh7Wr6a14y+IN+YCgOPb40mFF10cb7IGAC/qPkBrPUXeSGs8xI+BfWM8VXLPofNo7eB3+Gte38Jr7Q/F309zGnOFCZ4ESsbea+cYcK/YdxIAbjqANO0KRWd5ickMb5luQzI2ixO0KfFDEaUTTrOvalt0enGEv65mJyRUHnGSWFMJ38PO91FYjO8q8p2/KOtyNNwZCTM7YGaB/Iu2ljSz7Wb2WTPrNbNRM9tlZreYOTlFERERmVejnpEYAPDHkenfd+MDM3sNgE8DGAfwKQC9AF4F4P0AXgrg9Yu3mSIiIitbow4k+kMIt873JDPrBPAxAFUA14cQdubT3w3gTgA3mdnNIYQdi7mxIiIiK1XD/WljgW4CsBbAjplBBACEEMYBvCv/8a2nY8NERERWgkY9I9FsZv8ewFkARgDsAnBPCGHuvVVvyB8/F1nGPQBGAWw3s+YQwiJcsSUiIrKyNepAYgOAT8yZtt/MfjaE8MVZ0y7MHx+bu4AQwrSZ7QewDcA5AHZ7KzSz+0jpopPbZBERkZWnEQcSHwfwJQAPARhCNgj4FQC/AOCfzewlIYTv5M+dydYNkGXNTO8+pS0KoJHNlBiOF2kME/GmNQBQHuRNmSoHeQOrnf1nRadf0XqAzlPACb4uJynWW+NBmQfGz4xOP3CExwXX9jmR1zF+kqnmNXpiyys7jbnaWmlt9GzetOvEC3nE7JWX74pOf13Pzuh0ANhSYoc60Oy8L2wrelv20nme3/Ykre1ou4rWHg9n01ppeFV0ess4P+69pl0h4X1O5jXfqndDr8QmYKz5FgAgpUfVNP/8lUf4vm89ypdZnOTbyBpwFcf5drQe5znUpj5+XBWcY86myWvzjjev+Zb3eyI40eeUZpGLEA1tuIFECOF350x6EMAvmtkwgF8DcCuA153k4mY+OvPu2RDCC6MLyM5UXHGS6xMREVlRVtLFlh/NH6+dNW3mf8/YXX865zxPREREFmAlDSRmTpbNvvXZo/njBXOfbGYlAFsBTAPYt7ibJiIisjKtpIHES/LH2YOCO/PHl0eefy2AVgD3KrEhIiKSpqEGEma2zcx6ItPPBvCh/MdPzirdDuA4gJvN7MpZz68AeE/+40cWaXNFRERWvEa72PL1AH7DzO4CsB9ZauNcAK8EUAHwWQD/c+bJIYRBM3sLsgHF3Wa2A9ktsl+NLBp6O7LbZouIiEiCRhtI3IVsAPACZH/KaAPQD+DLyO4r8YkwJw8TQrjDzK4D8E4ANyIbcOwF8HYAH5j7/FQ8hrPwxQfwCJE5nQ5LxwZpbdVjFVr79qZzotP/ssAjRD+wiscCu5wuk/sn1tHaPz9zSXR60wM8Wtn+1CithdExWnNjWkyRR1dDB9/Goc38Y7bxvCO09iPdD0SnX1Lm1wZ3FXjMt+hFEOnyeHSutfAErdU28pOdH3gej8P2P/19JxwBAM1H2+k8Nua8zxNOPDilW6fXBdNbXmKNdeR0u396XTy9Q8DbRvL9ZlW+f0sjvFaY5N8tzQNOh1KyiUVneaVhHosvjPDvU/Mix1Pxz0VwY5dOzfs94dbIMr1fa3QePst8Gmogkd9s6ovzPvH75/sKgFfUf4tERESe2xrqGgkRERFZXjSQEBERkWQaSIiIiEgyDSREREQkmQYSIiIikqyhUhsrDosDeQ3knPhnoY/HAjt3N/OFWrz56QPHLoxOB4BvnrmV1ooV/gKqA2Va69gbPxzX7+Kvufw070JaG+Yx1DDNY42w+Pjaik4srZm/roluHqvb1nWc1s4o9UendxT4x7bZeK1IXhcAVMmx2OrMs7bA35fLmp+mte0bD9Dav5wVj3+u3t1C52k64Rzb3vucwI2MptZSIqVeZDR1OxLYNI80mhMnLIzzSKa7PhY39bZjkq/Lq7GIJ+B8f3ix8qoT//Q62C5Ct8560xkJERERSaaBhIiIiCTTQEJERESSaSAhIiIiyTSQEBERkWQaSIiIiEgyxT/rwQArxXelGzMkiZ/gdHszJxsaRngnTDt0lNa6xuMxvranO+k8k6t4l8lqE6+VRvn2Nx+Px1eLR3mstdbPa8GJdrn72Ol6miI4w/Wy8XUVT6Ud3wLRaKjTsdCLmnYXeOfEs1t45HWqJ358TLXydTWVeFdWFuWdV0Ls0otxhnp3Da1zjHM+Rj4vbDrgR0PduGZChNKmvXmcmjOf/91N5vMinl73T+f4MK9lK/m9k9Jp1CYsuQOozkiIiIhIMg0kREREJJkGEiIiIpJMAwkRERFJpoGEiIiIJFNqow6sWEShuytaC+PjdL4wRmqT/Ip3L9m8XFMAACAASURBVG3gpRQs8AZWrHFNqX+QzlNudholFZzxqXMldCCvu8b2E4DgNdbxrtZ2rmoOtfj2B+eKbJvk29HEdyOeHok3TAOAE7XW6PTNgS+w2euU5Lxmr6FXiqp3pXkKb3GpDbGcz1JS2mMxGnrVm9cAytsdrFkWmw6kJzOczzRNZ3hpCe87p5bWSIuuz0tLFJ10EUtfADAnBUebBTrfwXQfjpUA/qvHpTMSIiIikkwDCREREUmmgYSIiIgk00BCREREkmkgISIiIsk0kBAREZFkin/WQa2lCaOXnRGtVQ7z2GXhWH98eYNDfGVjY7TkRkOdSBWLOQXSzAsArMhfVyoWr0yNcfor87rTkGVOOfHaEf6+tB3m27/nqfW0tnPdOdHpG4q76DxF8PfMa7JVJPnKqrOfhgPfH73VCq3tHV1Ha+X+eESuNMZflxv983jRUFbzos3LJOJpiRFPNw5LYpJejNO8aKXTLMu895PVUiOeXmMub3+w7x0n4mktLXxVq3mDxPH1bbzWE/9MTzfz4604GX9d072Kf4qIiMhpoIGEiIiIJNNAQkRERJJpICEiIiLJNJAQERGRZBpIiIiISDLFP+tgsgt44lXxMVnHY7y745oH4nGgyuM8QlQ77kSZJnhEzotQBlry5lmEMWhKlNONcdZX8CJmwzwO2/6EU9vFY19/t/oF0enN5/DY5YtbHqe1tUUeUS2TtNiUs3uPVXmc7UujF9Dal5+Kx1oBoP1AfHqp34l/OrFclxPJNFZbyk6dHue4Nyct7Xf/dJZJOnmy6QD8iKdT8+Zjcc3kLp4pEU+Adof1Ip7VjT201rutndb6LnE246z4d0tHG++YPDIZ7xha/VoN6OPr8uiMhIiIiCTTQEJERESSaSAhIiIiyTSQEBERkWQaSIiIiEgyDSREREQkmeKfddDTPow3XPPlaO2ft/DszqHOtdHpG8G7I1YmedSt2rvwDp8A0iKUPDNa/4jcEkY8vfW53VVHRmmteKiX1tbd30RrR0protM/PHItnef+s8+itcs6nqG1LhINHXa6eD46yjuXfunJc2mtsJNHXlc9Fo95Fvt4R1wvlpssJf65GN0/2bFf9T4TTozT+yw5EUpj60uNeHpxTadGY57e95vbTdTLyjqa4786QxePcfZfyLt4HnspP4avv+wRWruma090+trSIJ1ntNYcnf7OlgEcoHP5dEZCREREkmkgISIiIsk0kBAREZFkGkiIiIhIMg0kREREJJkGEiIiIpJM8c86WFUcxU927YzWzmo6Qef7aIjH+Hr74rE/ANhwnHcTLTgRxJrX/bPe8bmljmsuFacboLcPa/0DtNa8l8cCN07Ej4OBQzxG9s2tl9Lal9dfTGuhhRwfU3z7mo7zr4+OA7SE7r28M2HTU/H2g2GEdy51430FL5Lp/H9UgdSc5QVvXanIZ8m8+KTHiY26yyRRTjfi6UUrnfnc7yO2zMSIZ/A6nnrdYZviHTQn17TSefou5Mt7ySV7ae2n1nyD1i4sx3+/tDnHYpW85o7CJJ1nPjojISIiIsk0kBAREZFkGkiIiIhIMg0kREREJJkGEiIiIpJMqY06aDJgM9mTL2o5QOfbvznetOtvz38pnadnN79iv/kIb7CEMX6lPG0otFzSF/VuAjbv+hY+vvYaesFptFbrjacUAKA0Eb+KevXxDjpP96P8+Jju4A3Cqs3x12zOxfClYZ6kKPXz460wMExrYYwsMzlZVOSllJTFYhyLXnKABA6CF0ZJbMzlNuBiqYilTGYAPJ3hJTNSGxaWnF+PpfhxNdkZT3MAwOQm/j1wVfd+WjufJDMAYG0xvo3NxreDKZ3CeYWGPyNhZm8ws5D/+3nynO1m9lkz6zWzUTPbZWa3mJnzLSMiIiLzaeiBhJmdCeCDAOj/4pjZawDcA+BaAP8A4E8BNAF4P4AdS7CZIiIiK1bDDiQsu1vIxwGcAPBR8pxOAB8DUAVwfQjh50IIvw7gcgBfBXCTmd28RJssIiKy4jTsQALArwK4AcDPAhghz7kJwFoAO0II3731ZAhhHMC78h/fupgbKSIispI15EDCzC4G8F4AfxJCuMd56g354+citXsAjALYbmbNdd5EERGR54SGS22YWQnAJwA8CeC35nn6hfnjY3MLIYRpM9sPYBuAcwDsnme995HSRfNsg4iIyIrVcAMJAL8N4AUArgkhOJ18AABd+SPrmjQznXfCOgkFGFotHq1bW+CbeHHLwej00jo+z2QXj3hWyk7kZzEaCtVbSrTOiWqa95qLPLBDm/WwRk6AG6vzGgO50bShofj0Ud6crXicRzyLpNEQAJj32ojgRgl5vC9MOTXWpMo7Npz30jum3GXWO+bpxQwTYtZugy0viuzM5zbgYjXvuK93xNOZLznimfi5ZUdHrcyPm2IL3x89RR6JbnUORRbzLCcEEo2+qvk11EDCzK5CdhbiD0MIX63HIvPHeT/JIYQXkm26D8AVddgWERGRhtMw10jM+pPGYwDefZKzzZxx6CL1zjnPExERkQVomIEEgHYAFwC4GMD4rJtQBQC/kz/nY/m0P85/fjR/vGDuwvKByVYA0wD2Le6mi4iIrEyN9KeNCQB/QWpXILtu4svIBg8zf/a4E8C/A/ByAP97zjzXAmgFcE8IYaLuWysiIvIc0DADifzCSnYL7FuRDST+KoTw57NKtwN4H4CbzeyDM/eSMLMKgPfkz/nIom20iIjICtcwA4kUIYRBM3sLsgHF3Wa2A0AvgFcji4beDuBTp3ETRUREGtqKHkgAQAjhDjO7DsA7AdwIoAJgL4C3A/hA8DI+C1Ag0ZmiEyOrWLwbXLmJx4RqpbTImhd1WyY9Pjkv4lnmh7A18SikVXiM1irk/mRF55IiJ7IWxvlfzsI475IZJuPdP71uosGpeRFgNwpJl7cIl1ix7fAinu7ynG1MiX8uRvdPL67JPp2JkUY34unFLkmU040A1zniCTgxz9SItcON2JLtL0zy7aiO8++qoVoLrTmfaNTAtnFp+1GuiIFECOFWALc69a8AeMVSbY+IiMhzRSOlNkRERGSZ0UBCREREkmkgISIiIsk0kBAREZFkGkiIiIhIshWR2jjdAgImQjweNeJEuw5Px1uAjA7yaOKaUa/rX1onuyXlRu7i41ov4llobeWLW8VarABTG3nD17F18fhntdnp7DfB92/lGI9/lo8M0pr19kenhxHe/dPvuMhLdOu9+KTXHdF7n73YKKt5nVxTaym81+x81oMldv9k3VATO3zSLp6AH7tky0ztuunx3rNAjo/EiKcbvfX2x0Q8mt3UTyLbAMpHeMRz98gmWntxy+O01kFuIVBwPmPsVgXhFG4EoDMSIiIikkwDCREREUmmgYSIiIgk00BCREREkmkgISIiIsk0kBAREZFkin/WwVQIOFKNx34enVpN5/ti7wXR6ZUnSPdJAM29I7TmdZL0OwwuD0ZiX4Vmvj+wmsc4hy9eS2vHLueH/vh58f3Y2sFjnGOjvNNoaT+Pfa3ZxV9b14PxDn522IkZjvJoaHJETk6OFw31ul2mLDOhM2VWS4h4Avz7w+vMW0rsvOph2+h1vWVddOHHpb3IvE3EvwvKJ/j3c+de/j1w5/nn09qFrYdprdj6WHT6+uIYnadM9n2VdhKdn85IiIiISDINJERERCSZBhIiIiKSTAMJERERSaaBhIiIiCRTaqMOBmsVfH7kwmjt7r74dAD45q5zo9M3PcSvrC4fHqC12jhPFYTFaK6TwmsCVSQphVZ+tfPkGTy1ceRKfniffc2TtPbjGx6ITt9U7qPznKi209oXtlxMa/e186u1S+OrotPbx/j7bN5V6M7xsaRSr9hfSuwzsRiflYSmXYuSzHBYKf7ZRIWnjmod/HNba+Upp1B0Gk5Nxl9bYZgn1gr9Q3xdTgO8GklmAEAgSRDr5d/PPY+00drE6k5a+1hpO60dOjvemHBb6zN0nrZC/HUN1/oBOE3/HDojISIiIsk0kBAREZFkGkiIiIhIMg0kREREJJkGEiIiIpJMAwkRERFJpvhnHRwZ7cT/2Pmj0VrTAR6P2vRgPNrV9TCPGYY+Hi8KXuOakN6QZakYiX+ipULnGdngxM8u4A10btx0P61d37onOr3bGXaPOxG+daVBWjt2KY+N9u0/Izq99UkeI7OhYVrDFD8+QmpTqeXOa1ZnCbFLb3ne/5Z5EU9vmTT+WefmW3AingBCZ/w4nTgjHj8EgMGzecRzdAOPAFdb+DYWx+LztR7hn6Ou/R201vxEL60Vep3vYRKlDsP8O6f8xDFa21BYR2vHh+MxcADYcWE8GlrewGOtTU3xiOfBsY8B4M2+PDojISIiIsk0kBAREZFkGkiIiIhIMg0kREREJJkGEiIiIpJMAwkRERFJpvhnHZT7DZv/T3xXVo7xOE3pCIlynuin89SceFGY9uKfS9jhMxXpChmcWNpUK4+R9XTxfXVW+QSfjwyvuwo8hjoR+L4/p3yc1i7uPkJrd/XE459Vp3NiqcD3FQrO/zekxB1TpRyLqTFO41HIEPixYyldMp3l+fN50dD4dqRGPFFwttGJWU9sjsc8j1zJ49eTl/PP3/M28+6UGyq8W2fvZGt0+gNHN9J5hnbxDsEbvr6W1toedo6dE/FoKOsKCgC1Pv693uR07d0wwOOfqx6LR8Enu53Oq6X4MVDoSz+voDMSIiIikkwDCREREUmmgYSIiIgk00BCREREkmkgISIiIsk0kBAREZFkin/WQXFkCh0743GmMD5O5wtj8ZrXxbMhIp4kxpm8OKczZXGSv+bhcR5N66/GY2QAMB7i0dCKE/GccrqrjocyrU1U+UfQSINHWy7v82JgsUbWGRbwO9t6kUyvgyaZ7u771OPeWWZI6P7psQI/Fmud/DMxsDUeOZ66gnebfePF36C1a9oeo7XuAo/Mj4f45+UhEpUGgL/tuIrWDk1tprXNAz20VhqJb6MX//S+12v9vKuzOb9DWo7GI7stZf4+oxg/f1AacX63zENnJERERCRZ3QYSZsYbqouIiMiKVM8zEk+Z2afM7IY6LlNERESWsXoOJB4D8HoA/2pmj5nZr5nZ6jouX0RERJaZug0kQgiXAbgGwCcAnAHgDwA8bWZ/Y2bX1ms9IiIisnzU9WLLEMK9IYQ3A9gE4G0A9gL4aQB3mdluM3ubmfEOJCIiItJQFiX+GUIYAPBBAB80s+0A3gLgJwH8EYDfN7O/A/ChEMLOxVj/UgvT06geIx0enU58gUW43DjbIkT/WGzN6h/qMa/7IHttEzxS1XqMd807vr+D1v7tjEtorbs4Gp2+qcQjWl7E85tj59DazsNn0lrL0fj+KAzz/QGniyCNVgKL0+WzjmgMEm6DT78zqHd4k89m8D4T3rHt8fY9+y5I/R5wYrTT7byr7Mim+Gt74ean6DxexPPC8iCtdRT4r6Uq4sd+T/FxOs/4Jv7ZfP8lPOI58hjvhtr9TLy7po043ZmrTmfQSR7nNe8zTW4hYAlR5DDlrGceSxH/PAGgD8A4AAPQBOCNAL5uZneYGX8nRUREZFlblIGEmZXN7GYzuwvAwwBuAXAMwNsBrAFwA4DPA3g1gD9djG0QERGRxVfXP22Y2XkAfgHAmwGsBlAFcAeAD4cQ/m3WU+8GcLeZ3Q7g5fXcBhEREVk6dRtImNkXALwM2Z8vDgL4PQB/FkI46Mx2H4DX1WsbREREZGnV84zEDQDuAvBhAHeEEE7mZvCfQTboEBERkQZUz4HExSGERxcyQwjhQQAP1nEbTo9Qc5u18PnqfKV8gV+Rbc7V2kaauMBp/OJdFexdYe8mBwrx7QgTE3SW5oO8adDqb/Ok8Rdat9HakxfE5zu3kyRzAAxP8yvev32ENxSavo9v45q98dddGOCvueZc4e2+L0vJu6KcHAP0GD0VXlqCrc77/yOvQVgq9p652+5sh/e5LfF9XG2Nr29jhSeZekj6CfCTGc3mNJwi1hb4d8RFzfz/VTev6ae1oe6NtBaayefday7ncZJ67v+Sp6SL6IrSvx/qeUOqBQ0iUpnZ+8zs38zsKTMbM7NeM/uWmf0Ou5OmmW03s8/mzx01s11mdouZJb7rIiIiAjRm98//BKANwL8C+BMAfwNgGsCtAHaZ2fcE883sNQDuAXAtgH9AlhJpAvB+ADuWbKtFRERWoEW5IdUi6wwhfN9dOMzsvwH4LQC/CeCX8mmdAD6GLD1y/cwNsMzs3QDuBHCTmd0cQtCAQkREJEHDnZGIDSJyf5c/nj9r2k0A1gLYMfsumvky3pX/+Na6b6SIiMhzRMMNJByvyh93zZo209L8c5Hn3wNgFMB2M2tezA0TERFZqRrxTxsAADN7B4B2AF0ArkTWeXQXgPfOetqF+eP33fQ9hDBtZvsBbANwDoDd86zvPlK6aGFbLiIisnI07EACwDsArJ/18+cAvDmEcGzWtK78kWWUZqZ3n/LW1DNa50S03BhnMz+xYq2tvNYer4VW3rQmlJ3AixPxtPEpXhuN/9UqTPF5Cv1DtNbzAD/h1jTCG3odfvSs6PQnu+LTAcCcfjetR/ixsXYfj61VDpyITg9D/DXD2VdJjbmcKKF7LDY5Eb4yj8paiSyTxEIBuMdbmHayczWvlvJ5XoR4LYsFuo2+nPins68KU7xWHIsvs3eqjc4zHvjxMRX4cdqckKKtJu5785q6eduR2qBtqSQ1fkw/fht2IBFC2AAAZrYewHZkZyK+ZWY/HkK4/yQXM3M0zLsHQwgvjC4gO1NxxUmuT0REZEVp+GskQghHQgj/AOBHkPX3+OtZ5ZkzDl3fN2Omc87zREREZAEafiAxI4TwBLJOo9vMbE0+eeYmWRfMfb6ZlQBsRXYPin1LspEiIiIrzIoZSOQ25Y8zf/y8M3+MdRi9FkArgHtDCPwP1SIiIkI11EDCzC4ysw2R6YX8hlTrkA0M+vLS7QCOA7jZzK6c9fwKgPfkP35kkTdbRERkxWq0iy1fDuAPzOweAI8DOIEsuXEdsgjnYQBvmXlyCGHQzN6CbEBxt5ntANAL4NXIoqG3A/jUkr4CERGRFaTRBhJfAPBnAF4K4PnIYpsjyO4T8QkAHwgh9M6eIYRwh5ldB+CdAG4EUAGwF8Db8+efvpaIJOZpJR6dK7TwSKat5p0kJzf30NrQWfHY6NhafsJquoWWUHASiJVevrvbD8YzlJWDPO5ofbwTZuEY7+zXOcg7E7Y/Hn9xtWb+cfFSZIUR/pczGxyhtTAcf21hnC8vVJ3Yl4fE2azkvGYnUoyudlqqdfH5qu3xaGhwItHFcZ69LQ6yG+HOs+/HyXze/vUid6lIzNP72jJvEyf5h7M4xPdV6+H4Z8LrbPtA15m01tHCL0tbDb4d7BvpWJUfH49MbKK1Z47z5P+aAWcfT8T3Y/C6G69gDTWQyNuO/3LCfF8B8Ir6b5GIiMhzW0NdIyEiIiLLiwYSIiIikkwDCREREUmmgYSIiIgk00BCREREkjVUamNZc+JpdBbSPdGLeGL9GloavHQtrR29go8ZixfH45UXrD0WnQ4Aq5t5dG6kyrs7Pt7Ht//JPfGI6upv81hrz4O8w2DxYLx7JgCEPt5exUitmNrxr8q7TNameHQxTJNaUmdK+J08SczT2nl3x7BhNa0Nn9tJawNb+Xs2vobEHZ1d39zPPy+dB3jUtPNx3i23eLgvOj2MjfENmXaif4nvWUo6PTjHm01N0lphgH+mu/bH47zP7OKfzU+2Xk1rAxv5+3Je82FaY/ZNrqO1O565nNaKu/nx3faM816Pkpqz713m/D99vWPF7HfVKdwIQWckREREJJkGEiIiIpJMAwkRERFJpoGEiIiIJNNAQkRERJIptbHYnKtxrSmebrAufsX7yPn8SvlD2/m6Lr2KN8l57fpvRaef38Svnu4o8Ku/xwO/Kv+ptXz7/2Xdtvj09kvpPMXJDlpb5TQhgnP1PWuKldzfLTVlkXK1tne8Ockiq5AEw2re1Kh/WxetHdnOX/P5Fz9Ja5d2H6Q1ZvfgBl57dDOtTTfzxmKrJ+OJmcIR3vSKpmzmkXRcec2hnOUFJyWEYZ7aqByIp1g2lnkzwKOjvKHXBy/g6a1Vq3kjPiPd8fp6+XvZ8ihP9az/Nn8/m56Jv2YACCS14TXNC6nfA16ig68sbV2JdEZCREREkmkgISIiIsk0kBAREZFkGkiIiIhIMg0kREREJJkGEiIiIpJM8c+6MBrRYY25AMCa45G76hoeq+u9qExrZ17+DK29YeNXae2K5njkrsfZ9jJ4bQo8YrapyON93avj8bOhS3h86/6DF9NaxxM8ElbqG6S1MEZio05DntRol6U2AkvhHYuV+D4e38DjtSeex7f9xS94lNZuXvd1WttS7qU15kAnjyDuaOKNo3b2XURr7c/Em0q19PNoIiZ4JDqEtGgojXmmRpG9aCiJPQOAnYhHIdum+WeiqZd/j43v5g3TJpz3kzVvO2OIxx1bDvNYa/lQP19XH6/VJsi+WuLYJZUSGUX6d5HOSIiIiEgyDSREREQkmQYSIiIikkwDCREREUmmgYSIiIgk00BCREREkin+WScsxmdFpxtjc7z75+RqHncc3sLjVq9bt5fWLnE6ea4txg+DFotvHwAUnXhR1YlAlQs8BndOaSA6/SXdvHPpVzefS2sTPTxiVm7iMVrWJTMxcOfyYqNJ0VBvnoLz/w1kf0z08K+I6mbeXfXaVY/R2ramo7S2xomoMhU7RmtXdj1Ba19dz4+dqY74666Una/M1Civ18mz3hLXRSPRTjfR0sgorXUc5J/Ndm8fk8+mTTpdWZ1Ya4108QSAMMnjvF4UnFnSqHeKhb+k79IZCREREUmmgYSIiIgk00BCREREkmkgISIiIsk0kBAREZFkGkiIiIhIMsU/68GMd1b04mwk/smiZwBgPTySdFbTCVrrKDiRTItH/7yIp8ebz+saWiHpqLUl3qmzqZ3vj2qlhdZQct4XLybZwFisNS9GJwcnslYo8Ohq2XiWrOxsRpF0IKwuRvjWWaSRLpnmxHXdDrCpEc+ULp+pEU9vXSTuGJwYpE3zaGgY5h05vc8fO4ZrCdsO+NufEvFcFInfwwtfD5Iz7ivzG1NERESWhAYSIiIikkwDCREREUmmgYSIiIgk00BCREREkmkgISIiIskU/6wTFksyL/7J4niL0CQuJRDmdfFM7f5Zc7aE9e8brPEY5/Qk37+FaS8S5uyRpezGWG9ePNGL6pEujk2DfJ7aUd6l9jsjZ9LauU73z/HSUHR6NfAPxZ6ptbT2jYEttNZ0iHeAbRogHSOdLpPJccGUiOdS86KtRKjx+KfXKdWLKYc6R7PddaXELp3vvuQYZ+K+WrCp9GXpjISIiIgk00BCREREkmkgISIiIsk0kBAREZFkGkiIiIhIMqU26sHAm3M5V9yyq7WLY/zK39AXb/QFAI+Pr6O1yytP0lqrxRtftZJmXgBvrgQAVecq9OHAr3o/OB1PZ3x7+Cw6T+EgTw409ZMr7wGEKb4drHmR25SpEXjNi8bGotMrh3lzpVUPddHaP666jNZ6z2+jtYvaD0enj9f4sfjt/s209vBD/NhZ/zB/P5uODEenh/FxOo/bAMpLZixhSshtzFVvXtrASbNZyfm11ESOA295XjLDaSxmTkKHzeceAw43fZGSVElJc6hpl4iIiJwOGkiIiIhIMg0kREREJJkGEiIiIpJMAwkRERFJpoGEiIiIJFP8sw7MDFYmu9Jr1DIdjwo19/HYYvv+dlr7160X0dq6pkFaG2/ZF52+thiPBAJA0ckJTQb+mg9WO2ntrqFLotP/dQ9/Xd2P0hKajsYjfACAMR7jS2lQtBhY3NTcSLETHXYaX7H9UTjSS2dZ/R0euSuO8+P0vsfj7zMAfLUn/l6bk6qrHOPH26a9fMaOPQO0Zr3xWm0iHpUGkN60qxF4xxzhxTit0sxrnR20Vu2OH1fVTh6LD862F8d4/LM4wL//Cv3x5nIsRg0AgTTGm5cT/0xq2kX2x6k0AGuoMxJmttrMft7M/sHM9prZmJkNmNmXzeznzOK/tc1su5l91sx6zWzUzHaZ2S1m5rTmFBERkfk02hmJ1wP4CIBDAO4C8CSA9QB+AsCfA/gxM3t9mHXXFTN7DYBPAxgH8CkAvQBeBeD9AF6aL1NEREQSNNpA4jEArwbwTyE8ew7XzH4LwDcA3IhsUPHpfHongI8BqAK4PoSwM5/+bgB3ArjJzG4OIexY0lchIiKyQjTUnzZCCHeGED4zexCRTz8M4KP5j9fPKt0EYC2AHTODiPz54wDelf/41sXbYhERkZWtoQYS85i5MfrsK1puyB8/F3n+PQBGAWw3M37lj4iIiFCN9qeNKDMrAXhj/uPsQcOF+eNjc+cJIUyb2X4A2wCcA2D3POu4j5R4pEBERGSFWxEDCQDvBXApgM+GED4/a/pMe0KW85qZ3n1qqze3+xzDOsgVT/DYYs9ufvLkaNsaWvuz8Wto7f4z4h0St7aeoPM0G48y9U230tpDAxtpbfe+TdHpq3byzo89DzoRzxP9tBQmeYwvtYPfUvG6kLrRUK/7J5leG+bdP0tP8u1Y7UTnuvfw46PaQr6SnERuaZi/l4V+vv0Y4MdObXQ0XvD24VJ21lwm3C6eTsQTa3poaeS8VbTWd0H8u2B0A9/3tbLT5XWAdw/ueIJ3qe3aG681Pc3j0hhyvqtSv3PY7QW87wEW8zyF+GfDDyTM7FcB/BqARwC8YaGz54/zfgOEEF5I1n8fgCsWuF4REZEVoaGvkTCzXwbwJwAeBvCyEMLc4eDMGYcuxHXOeZ6IiIgsQMMOJMzsFgAfAvAgskHE4cjTZu57eEFk/hKArcguzozf2lFERERcDTmQMLP/guyGUt9GNog4Sp56Z/748kjtWgCtAO4NIfB7UouIiAjVLO/5NQAAIABJREFUcAOJ/GZS7wVwH4AfDCEcd55+O4DjAG42sytnLaMC4D35jx9ZrG0VERFZ6RrqYkszexOA/4rsTpVfAvCrkUYjB0IItwFACGHQzN6CbEBxt5ntQHaL7Fcji4bejuy22SIiIpKgoQYSyK5pAIAigFvIc74I4LaZH0IId5jZdQDeiewW2hUAewG8HcAHQj0yW2awcjyWFKq8GyPrMmnDJHoGoHUfP4m0cZJdUwoMPsM76u3cdGl0+r3dTidJ58gpjvEYUctRXjvjyXgEqn0f71xaPMRPSNWcuBWL3mZF5z1L4XWArbN6R0PDOP+rX82JrNmo0zn2BI/zFhNi1HDeyzA5RWuY4jX6tbAYnWETOmsm87bf2Q7WGdLt8NnO45OjW3nE89B2vsy1L4xdCgf8yLr9dJ72Ij+GD4ytprWvHNhKa+PfjHchXV/k+7DpCVpCGOGfF/f7iHxe0jp5PkfinyGEWwHcmjDfVwC8ot7bIyIi8lzXcNdIiIiIyPKhgYSIiIgk00BCREREkmkgISIiIsk0kBAREZFkDZXaWLbMABKDMnO6BdbisZ4w7XSC6+dRyIoT1Ws+1EJrq9viXfqqFefwcIagNsnjSsUhvo2FoXinxjDodGkc47Gpmhf9q3fE0+Ota5lEQxkrOBFgr4PqlBOvneDHAIutJae0vde8XGK+ixEpTeFtB4s1OnHd0M67vA6dyb9bWi/to7WfPfve6PQXtRyg81Sc7+BjHfx78dzWY7T2V7UXR6f39znfs4M8gl/0bhPgRdULrPtnwrF4Ct0/dUZCREREkmkgISIiIsk0kBAREZFkGkiIiIhIMg0kREREJJlSG/VgAErk6mXnSlgjTYNCcFIbTiIiOFfDw0k+FEiznkLqVbzOFches6wa2x9eUyancZR8L7dpV52574tTWib5hbR9tUzSOUvK2U+1Jv7rZaKLz3dhD2/Ed1Hzwej0TUV+UFWMJ0s6jDdIHG/bQ2s7zzg7On3PhnPpPN2dTbRWGOKN7Nwjke3/pNTGwmf57urSZxUREZHnOg0kREREJJkGEiIiIpJMAwkRERFJpoGEiIiIJNNAQkRERJIp/lkXxuM2XrOhlHilE6vzI3fOfGwbU5sJOTE4t3EUmy+1YVO9nUJTm3pyo4lezNCZL6lZlvNeus2+6t2kahFil2wbl3Lfp0p9z1KWad4xQJoSAkCR93vD0GSF1kZq8QaDNfDmfZ6is++LThi5UopH1Ws8xYla0Ts+nJo3H/vcJsyjpl0iIiJyWmggISIiIsk0kBAREZFkGkiIiIhIMg0kREREJJkGEiIiIpJM8c96MCCQeJctZXNKJ/blRsJINDQpqjmf5RLlTFHvKO88rBjvWmhl/rG1Jid/VubdB43ExYLTyRVeV1avE+1UQjfX5ONt6Tpysn0IACg73R1LztewV2PLqzlR78l4bBEAQLrvupxYuY2M01rrEf6+7HlqPa19Zc0F0emVwkN0ntUFHg0dqvGo6QPjZ9Lao8fXRac399FZUBznxz2cqGwj0BkJERERSaaBhIiIiCTTQEJERESSaSAhIiIiyTSQEBERkWQaSIiIiEgyxT/rIQQYi8m5EUpSS41IOhFEr8NgYDFDODGymjMGTY3qrVROzJBFPAGg0BKPpllnB52n1s1r09086lZrjm9HYZK/l6UBHqsr9A7RWhjktdpYPDIYvBj1IhxvrMunF9W0tlZe62intVpXG61V23hklymM8ZhhYWiUzzgwTEthnL0vTvxzaITWOvfx2thOfgx/snRVdPruLRvoPGe28Ezm4HQLre08zOOfY99ZFZ2+fj/f96UBHoc1JxLt/g4hkWOvK2tYhNMHOiMhIiIiyTSQEBERkWQaSIiIiEgyDSREREQkmQYSIiIikkwDCREREUmm+Gc9BADTJAbldHVzO3IyTlyQRdYAAF7HyIVvhd8V0ukiGLyOkSyy5HQzbATe+2KVZl5bHY+YjZ+zhs7TeyFf3siZ/Hibbou/n6VR/v8abU/z6NyqR3ikseVxfiwWTsSjerVRHlt0o6GpWCS6nb+usGEtrQ2f20lrA1v4/hhfQ94z50PbNMCLHU/xaGXHPh5RLR3sjU73orwgUV4AKB48QWvrvsEX2dwX3/8PnXUhnefbHfy4L0zxfdVyhG/Hhv3x77iWp/j+sEEeefU66aJQ5y617Kv7FDoz64yEiIiIJNNAQkRERJJpICEiIiLJNJAQERGRZBpIiIiISDKlNuoi0Ktug5PaoM1YCk4yo4nX4CQAQotTKzvLZNsxya8ytlF+tXYY5lcuB9awaXKSz+M0DTqVq5AXzGvM5TR6KnTxq/nHzo2nMw5dw9/L9iuP09orNu6jtXXl+NXmJ6Z4SuFLh8+ltUNreIJhI3jqpGUyfjW8eceA2xiPf/68NE2hmezjtT10nv7nddPakZfwbdx68dO0dnFXPDpQKvDj/sDwalp74MlNtDZyP090rNsZP4ab9vHXVXMSHV7ao+gkGHr64smS7kd5w7RqxUmsOcdOcYQfc4Uh0rBulDey8xJr3vcHCt4xTObzmioySm2IiIjI6aCBhIiIiCTTQEJERESSaSAhIiIiyTSQEBERkWQaSIiIiEgyxT/rIQQE1rTLiZ/RxkBOjLO6xokLbuJRvZENPOI50RWPwQUnFVoe5rXWozya1v4Uj0eVnok3Bqr1D/CVjTlxq3pHQ81pvpXYmKu2mr+fJ7bF5+u+mncT+g9bv0RrV1SepLUOi0fThgL/irisjccWP4zraK3vOI+GNh+O7w8b4gecuY3gnP9X8hrgtcXjhGNndtF5jr2Qr+q6Fz1Ma69bfR+tbSnHPxNF8OP3WDf/Hvh6D4/sfrL9RXyZ1Xi0dcNovLEcABTGnRj4iNOEbYA3/TMSES/0lfl2OO+zy/n+oE0Lve97j7eNgX+30KPAu+3Aghc2v4Y7I2FmN5nZB83sS2Y2aGbBzD45zzzbzeyzZtZrZqNmtsvMbjGzxCNMREREgMY8I/EuAM8HMAzgaQAXeU82s9cA+DSAcQCfAtAL4FUA3g/gpQBev5gbKyIispI13BkJAP8JwAUAOgG81XuimXUC+BiAKoDrQwg/F0L4dQCXA/gqgJvM7OZF3l4REZEVq+EGEiGEu0IIe0I4qT9y3wRgLYAdIYSds5YxjuzMBjDPYERERES4hhtILNAN+ePnIrV7AIwC2G5m/Go4ERERoRrxGomFuDB/fGxuIYQwbWb7AWwDcA6A3d6CzIxdWu1eoyEiIrKSrfSBxExWi+UHZ6bztn0nIwCokaiQFxlsaopOn17PN6f30nj3OwA4cTmP/Kw5l3eF3NZ9Ijq9qcBjdUfHeKfAvYfW0Vr/g3z7190f3x+tj/B9WDvOXzPrJpoVnWhoCq97H+skCWByDe9aOHRufBtfu+kROs+LKk/Q2tklvh/L5KTclLOfis66rtu4l9buOIt3/5xe1RKdXj7M430Yczqvep0Tna6soT3+vgydwbej64L45wgAfqxnF61d3nyU1noK8W0sgAfO1hd5Z83uwoO0Nn4Of2239W6PTu94in+eO4/zGKr32QxTTpyXzOd1hwXrkAm4389JnHWZuy7n+8iLhrLos7cudlXAKXT/XOkDifnM7O1592AIIZoSz89UXFHPjRIREWkUK/0aiZkzDuwuMp1zniciIiILsNIHEo/mjxfMLZhZCcBWANMA9i3lRomIiKwUK30gcWf++PJI7VoArQDuDSFMLN0miYiIrBwrfSBxO4DjAG42sytnJppZBcB78h8/cjo2TEREZCVouIstzey1AF6b/7ghf3yJmd2W//fxEMI7ACCEMGhmb0E2oLjbzHYgu0X2q5FFQ29HdttsERERSdBwAwlkt7d+05xp5+T/AOAJAO+YKYQQ7jCz6wC8E8CNACoA9gJ4O4APnOQdMucReKe4cjzSCAChPR51GzqHx6aOX82jUT90Oe8w+MOreOzrrFK8w2DZeCRpqFahtQfWn0lrf7+GB1yOlDZGp58xyuOC5XH+Vym3K+Sk0x0v5ZDwun86McOpDh7tKqyOR9rObebdP3sK/D1rtvjxBgBl0r+u4Jy07CrwzqtnNcePKQCY7uTbWG2Jb0c5tYOjx4nqheb453aih7/Pl/TwiPWWMq91FfhrazH+/cGw9xIAaiUeu3xJ2x5au3fLOdHpR848i87Tvod/j1kfv77di3+y7ppumtv5PPuRTAc7dpyum8GLhrrNOuscVaeeQ/HPEMKtAG5d4DxfAfCKxdgeERGR57KVfo2EiIiILCINJERERCSZBhIiIiKSTAMJERERSaaBhIiIiCRruNTGshQA1OLRGSvysdp0VzyON7iFz3PxBU/S2mtXs07nwGVNC4+fFcGjUVNhmNbWF3lH9uazpmjtj59/Q3T64BO80+jqQ07EbHiE1tyIGdws1sI5EbPgxc8sfkwVyfSsVuduho4pJy02FXgE0apOVLZKFko+X6fCi/6FYrxWc5qQthV5B8qKE6UuO508i15XWYZEJAGg1YmGbijxrqEXdsUjx0+s4VHvWjuPrhbLzq+eCecYXqok5HJS52Of3fHgVG6EoDMSIiIikkwDCREREUmmgYSIiIgk00BCREREkmkgISIiIsmU2lhsTrOh6db4JeDja/hV15d1H6S1LaU+Wusp8Le62eLbUXBSG81OcmCT8avXn9f8FK9tjL+2BzdeROfpIY3PAMCcK8PNuTLcbQCUwmkeVh7hK6v1NUen759YS+c54ezfZud9KZOUxUTg236kyvf9Q8Ob+HYc5Z+J0tBovODsQy+lEJwr3gNrtAfApuK1Iu95hb5Jvj9GnbjHFPj7UiWvLSnNAb8JW8V4oqqTNPuqxg9RAECtxNdVdBqVuWmaxNedxGmyVW916R05m9M8zNmK5NXpjISIiIgk00BCREREkmkgISIiIsk0kBAREZFkGkiIiIhIMg0kREREJJnin3UQwOM7XgulQIZxtSYew+kqjv3/9u4/yK66vOP4+9nN72RNIJBEGygI4UeBUiwiBosQWmTqWMGC4zhif9EpU0ekU6Z1aClQ65RWW7FUq1NrrdKxjjDgTAcwCJQoFBQJIAESINmAJJCQn7v5tUn26R/fs3qzPc832S+7e+/e+3nN7JzJ+Z6z+Z7n3rv3ueee5zzh2GSLS366iMvPojLPXIlZXLwVlxIC9HTFpW7zptY3DcpUGTI4ZZQbHpXKlRnuiY95yqb48Zy1enbt+qXHnxzus3DK5nDsV7KlofXllZsHp4X7PND/S+HYg6uPD8fmrs40HdtS32jNB+IY5ko8c6Wh5Mo/d+2pXT/99fj3Pb8pLsvtnX9EOLZwUvy4TO6qf1ymZv50D2bK+PZmul7tzrxut++rfx50xRWj2Bg0Wgt1jV+zOiDbiC+UK8nMlZqWlHKOdjnpQeiMhIiIiBRTIiEiIiLFlEiIiIhIMSUSIiIiUkyJhIiIiBRTIiEiIiLFVP45Kjwu0cmUmHXvqd9n0o44v9uwtyccy5Vv5cq+cqVkkagr4cH+r9wct+6tr/Psqq/EA8D2Z0qjcqV/oyzXSdL3xAfQvWFbODZ3xYza9etnLwj3uWXgvHDszPlxmWHU3XHtzsPDfX7ce3Q41vNoXLM7Z2V9mS8AW+rj4QOZOsPc45wpg/PMc8f767uQznolLkPdtKq+XBfg3jefEo4tmBQ/B46fvL12fU9Xpmts5pj7MrHq3TsvHFux9c2166dtjMsgu3fEsWKwsMVuQZlnrpvoeHb4zCrq1klZmWf0f72BitEWiaKIiIhMREokREREpJgSCRERESmmREJERESKKZEQERGRYkokREREpJjKP0dLUIbje+OytUnb60vuZqyPS+ce2xiX3C3umR+O9dgr4Rjd9eWJuS6euRLPzZlSyOcGFoZjT2+sLzGbvjGuS+rqj0src+V948n31ndwBPBt9eV9ANNfqO/Y+pZ9cUnm1nVzw7FlC+IOlPuDjrOT++LSuSNfiuM7+/m4xHPSyxvDscH+oPtn5jlV2ukwW7K7s778c8ormXLdp+Lun/fPPSkcm/TL8TwumPNM7fqjJ8VdXnNe2XdYOHbPltPCsTUr61+bv/BSPPeuvrizbe41kZMt5RxtJf/XWJSTlpSGlpaTFtIZCRERESmmREJERESKKZEQERGRYkokREREpJgSCRERESmmREJERESKqfxzNDhhuU2ua2HXtvpStzkvzgr3+emKuEPfbbPODMf2Hhk/1IumvFq7fprFpV07B6eEY6sG4jLU216L59i/or6scWFv3EXQtveHY7nSWx98A63uRirTcXEw0xm0a8Om2vXTd8fxmLY+fu7s75kajnl3/WeKrj1xmV7XtvoSSQC2xuWfgzvqn/cAvi/4/8aik2vmd0avW9u0JdznsKfj14R3zwnHvtd3ejj2+KKjatcfO6f+uQEwyeLjWtsXl3+ufyEuXz3isfrnx6w1cTms74ifH9ly3tGWK8ks7AwalqEWdCcFIPP3yHPzH+cyz4jOSIiIiEgxJRIiIiJSTImEiIiIFFMiISIiIsWUSIiIiEgxVW2MEg8aB1muMVBffcXBjDXTwn3mPxo3bFq+74Rw7PmT4iuyTz7itdr1c6bETXc2D8wIx1ZsWBCODTwzOxyb/1j9FcjT1sZXyuevDG+NK5pzFSKWaX4WVXTYlngf64+rWLonZV7uFnymGMxcXZ9rRjYQV5bkHpeiaprclfej3NAraioG0PXKhnBs7t44jtM3xq+J/hX1TdiePTxuwOaZj4eT4x5xLFwXP54z1tbv2LVxazyPTEVS1mg3viqtzAgqmQCYXF+hk90nMw/PVF9YVMlEpiow97wfg0oPnZEQERGRYkokREREpJgSCRERESmmREJERESKKZEQERGRYkokREREpJjKP8dYtjnNrt21qy1o1gQw+8m4dGfq1rgxUN/KuFnPU0fWl5Rm+nLRXT91AKZviEuP5r8Ul4RNeTko89wUl5jlml4VNwaKSiHHQElpaG6fsOkVmUZDYyAqhwayjY2sK/iTlDvm3OOcO+RcI7BoLFfOnSkNtUzJ68y+uIR5xtr6MuvB6ZPDfbIljQOZ58eO+EVt/fVz9N3xPsXl16P9PM3FY0ocR5sWl+H7rPrHZX9PZp/M8z7bHG97pjleweOi8s83wMwWmtlXzWydme0xs14zu9nM4ndYERERyeqIMxJmdhzwMDAP+A7wHHAW8AngIjM7x93j0wAiIiJSq1POSHyRlERc5e4Xu/sn3X0J8DngRODTTZ2diIjIBNX2iYSZvRW4EOgFvjBs+HpgB3C5mc0c56mJiIhMeG2fSABLquVS9wOvoHL3PuAhYAZw9nhPTEREZKLrhGskTqyWq4Lx50lnLE4A7ot+iZn9OBg6fYdv45E9d498ZsFFvLYnk99t7w6HBtfFD+f+yZmGMcFuueY/lrnwtyu+AJmugXjHroHgivh9mSvlc1cgFzZsahnRYWcvah+/yozxlXksix/mgh0HM/Hdl6lGGci8mPoyYxvqx3IVAFmZ14TlGqZFFRiZypf8y288X5uZxyXb0CsztjF4XHJNu3Jyj0uu+iX4+5dtfhf8Xzt8G8Ax8Y6xTkgkhlrrbQvGh9bHtZN5XYPs39/nm58c8Z7RY52rzsm8SVPYbG+UnVQtn2vqLFrH6MdjYudH7fv8yD0ucS58UjVWH4+guWMba53nR2H1+Cgbz3gcA2T6w8Y6IZE4mKG0M58/u/9q7c7VmYpovNMoHgdSPA6keBxI8TiQ4nGgiRKPTrhGYuiMw+xg/E3DthMREZFD1AmJxMpqeUIwvqhaRtdQiIiISKATEokHquWFZgfe+9jMeoBzgF3AI+M9MRERkYmu7RMJd38RWEq6kORjw4ZvBGYCX3f3+Eb5IiIiUqtTLrb8Y9Itsv/JzC4AngXeAZxP+krjL5o4NxERkQnLsl362oiZHQX8NXARMBdYD9wJ3Ojum5s5NxERkYmqYxIJERERGX1tf42EiIiIjB0lEiIiIlJMiYSIiIgUUyIhIiIixZRIiIiISDElEiIiIlJMiUQhM1toZl81s3VmtsfMes3sZjM7rNlzGwtmdqmZ3WJm3zez7WbmZnbrQfZZbGZ3mdlmM9tpZk+Z2dVm1j1e8x4rZjbXzK4wszvM7AUz22Vm28zsB2b2B8Nvx96wXzvH5O/M7D4ze7mKx2YzW25m15vZ3GCfto3HcGZ2efW6cTO7ItimLeNR/X304OfVYJ+2jEUjM/s1M7vdzNZX7yPrzWypmf1mzbYtGw/dR6KAmR1HulPmPOA7pF7xZ5HulLkSOMfdNzVvhqPPzJ4ATgf6gZ8CJwH/6e4fCbZ/P3A7sBv4FrAZeB9wInCbu182HvMeK2Z2JfAvpBubPQC8BMwHPkDqNHs7cJk3vMA6ICYDwOPAM8AG0u3nzwbOBNYBZ7v7yw3bt3U8GlU3xPsJ0A3MAv7Q3b8ybJu2jYeZ9QJzgJtrhvvd/bPDtm/bWAwxs78EPgW8Dvw36W/JEcAZwAPu/mcN27Z2PNxdPyP8Ab4LOPDxYev/sVr/pWbPcQyO+XxSp1QDzquO89Zg2zeR3kj2AGc2rJ9GSsAc+FCzj+kNxmMJ6YXcNWz9AlJS4cBvd1hMpgXrP10d3xc7KR4Nx2TA94AXgc9Ux3bFsG3aOh5AL9B7iNu2dSyqY7msOo57gZ6a8ckTKR5ND+hE+wHeWj1wa2reRHpIn9h3ADObPdcxjMHBEonfr8b/o2ZsSTX2YLOPYwzjc211jLcoJg7pTJYD93ZiPIBPAIPAucANQSLR1vEYYSLR7rHoAlZX7xNHtkM8OqVp12haUi2Xuvtg44C795nZQ8CFpFO694335FrEUIzuqRlbBuwEFpvZVHffM37TGjd7q+W+hnWdHJP3VcunGtZ1RDzM7GTgJuDz7r7MzJYEm3ZCPKaa2UeAo0lvok8By9x9/7Dt2j0Wi4FjgduALWb2XuBU0tcWP3T3/x22fcvHQ4nEyJ1YLVcF48+TEokT6NxEIoyRu+8zszXAKaSzO8+O58TGmplNAj5a/bPxhd8xMTGza0jXAcwmXR/xLtKbxk0Nm7V9PKrnwjdIX3Vde5DN2z4epK/9vjFs3Roz+z13f7BhXbvH4u3V8jXSNUWnNQ6a2TLgUnffWK1q+XioamPkZlfLbcH40Po54zCXVtXJMbqJ9OniLnf/bsP6TorJNcD1wNWkJOIe4MKGP4zQGfH4K9KFc7/r7rsOsm27x+PfgQtIycRM0pvnl4FjgLvN7PSGbds9FvOq5ZXAdODXSV+Ln0q6/u5c4NsN27d8PJRIjD6rliqHibVljMzsKuBPSVU8l49092o54WPi7gvc3UhvGh8gfVJabmZvG8GvmdDxMLOzSGch/qHmVHXRr6yWEzIe7n6ju9/v7q+5+053f9rdryRdoD6ddO3IoZrQsSBV7kA6jkvd/T5373f3FcAlpKq4d5vZOw/x9zU9HkokRm4o+5sdjL9p2HadqONiZGYfAz5PKn083903D9uk42JSvWncQfqqby7w9Ybhto1Hw1caq4DrDnG3to3HQXypWp7bsK7dY7GlWq529ycbB6ozV0NnMs+qli0fDyUSI7eyWp4QjC+qltE1FJ0gjFH1R/ZY0oWIq8dzUmPFzK4G/hl4mpRE1N1gp6Ni0sjd15ISrFPM7IhqdTvHYxbpuE4GdjfefIn0lQ/Av1brhu6r0M7xyNlQLWc2rGv3WAwd39ZgfCjRmD5s+5aNhxKJkXugWl44/O6FZtYDnAPsAh4Z74m1kPur5UU1Y+cCM4CHJ+gV1wcwsz8HPgc8QUoiNgSbdkxMAm+plkNX6LdzPPYA/xb8LK+2+UH176GvPdo5HjlDp+8b3wTbPRbLSG/8i8xsSs34qdWyt1q2fjyaXVM7EX/owBtSDTvO8zj4Dak20sI3UBmlOFxXHctjwOEH2batY0K60+mCmvVd/PyGVA91SjwycbqB+IZUbRkPUkXB/3t9AL9IqnJz4NpOiEXDsdxaHcffDFv/G6R7jmwF5kyUeOgW2QVqbpH9LPAO0t0fVwGLvf1ukX0xcHH1zwXAe0ifIr5frXvd3a8Ztv1tpNro/yLd0vW3qG7pCnzQJ/CTz8x+B/ga6RP2LdR/P9nr7l9r2KdtY1J9vfMZ0qetF4FNpFuGv5t0seWrwAXu/kzDPm0bj4iZ3UD6eqPuFtltGY/qmD9JOpu7BugDjgPeS3ozvAu4xN0HGvZpy1gMMbN5wEPA8aS/oT8kJVaXkBKDD7v7txu2b+14NDszm6g/wFGkkqb1wACwlnSxXfaT6UT94eefpKKf3pp9ziH9kdhC+rrnJ8CfAN3NPp5xiIcD/9MpMSGdjv0C6Sue10mnbrcBP6piVfu6aNd4HMLz5opgvO3iQUomv0mqZtpKumHbRtLtoT9K1fOpE2Ix7PgOJ53FXlO9h2wifTA9e6LFQ2ckREREpJguthQREZFiSiRERESkmBIJERERKaZEQkRERIopkRAREZFiSiRERESkmBIJERERKaZEQkRERIopkRAREZFiSiRERESkmBIJERERKaZEQkRERIopkRAREZFiSiRERESkmBIJERERKaZEQkRajpndaWZuZh+vGftUNfaVZsxNRA5k7t7sOYiIHMDMDgeWA/OBd7r78mr9BcBS4Dng7e6+s3mzFBFQIiEiLcrMFgMPAmuAtwEzgCeB2aQkYkUTpyciFX21ISItyd0fBq4DFgFfBm4FFgBXKYkQaR06IyEiLcvMDLgbeE+16pvu/uEmTklEhtEZCRFpWZ4+6dzRsOrmZs1FROrpjISItCwzWwQ8DuwlXRuxAjjL3Xc3dWIi8jM6IyEiLcnMpgLfAmYCHwL+FjgNnZUQaSlKJESkVX0WOAP4e3dfClwPPAT8kZl9sKkzE5Gf0VcbItJyzOxi0rURjwLvcveMvqMJAAAAsUlEQVR91fqjgCeAScAZ7r66ebMUEVAiISItxsyOJiULXaRkYc2w8fcDdwI/IiUZA+M/SxEZokRCREREiukaCRERESmmREJERESKKZEQERGRYkokREREpJgSCRERESmmREJERESKKZEQERGRYkokREREpJgSCRERESmmREJERESKKZEQERGRYkokREREpJgSCRERESmmREJERESKKZEQERGRYkokREREpJgSCRERESn2f+eZsX5kqmDDAAAAAElFTkSuQmCC\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "image/png": { - "height": 277, - "width": 265 - }, - "needs_background": "light" - }, - "output_type": "display_data" - } - ], + "execution_count": null, + "metadata": {}, + "outputs": [], "source": [ "final.plot(title=\"Final phase field\");" ] @@ -468,24 +213,13 @@ }, { "cell_type": "code", - "execution_count": 17, + "execution_count": null, "metadata": { "run_control": { "marked": true } }, - "outputs": [ - { - "data": { - "text/plain": [ - "SphericalDroplet(position=[8.37931034 5.43103448], radius=4.296739856991561)" - ] - }, - "execution_count": 17, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "emulsion = droplets.locate_droplets(final)\n", "emulsion[0]" @@ -493,56 +227,24 @@ }, { "cell_type": "code", - "execution_count": 18, + "execution_count": null, "metadata": { "run_control": { "marked": true } }, - "outputs": [ - { - "data": { - "text/plain": [ - "{'count': 13,\n", - " 'radius_mean': 3.535457046213904,\n", - " 'radius_std': 0.8207774894655263,\n", - " 'volume_mean': 41.38461538461539,\n", - " 'volume_std': 18.036452241709167}" - ] - }, - "execution_count": 18, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "emulsion.get_size_statistics()" ] }, { "cell_type": "code", - "execution_count": 19, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "image/png": { - "height": 261, - "width": 265 - }, - "needs_background": "light" - }, - "output_type": "display_data" - } - ], + "execution_count": null, + "metadata": {}, + "outputs": [], "source": [ - "emulsion.plot(final);" + "emulsion.plot(field=final);" ] }, { @@ -554,20 +256,9 @@ }, { "cell_type": "code", - "execution_count": 20, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "DiffuseDroplet(position=[8.40883555 5.47986854], radius=4.122486603904566, interface_width=0.5757221841667858)" - ] - }, - "execution_count": 20, - "metadata": {}, - "output_type": "execute_result" - } - ], + "execution_count": null, + "metadata": {}, + "outputs": [], "source": [ "emulsion = droplets.locate_droplets(final, refine=True)\n", "emulsion[0]" @@ -575,20 +266,9 @@ }, { "cell_type": "code", - "execution_count": 21, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "0.6048226261153095" - ] - }, - "execution_count": 21, - "metadata": {}, - "output_type": "execute_result" - } - ], + "execution_count": null, + "metadata": {}, + "outputs": [], "source": [ "emulsion.interface_width" ] @@ -602,31 +282,9 @@ }, { "cell_type": "code", - "execution_count": 22, - "metadata": {}, - "outputs": [ - { - "data": { - "application/vnd.jupyter.widget-view+json": { - "model_id": "8f240317eb39478ca2fe5d230780a826", - "version_major": 2, - "version_minor": 0 - }, - "text/plain": [ - "HBox(children=(FloatProgress(value=0.0, max=1000.0), HTML(value='')))" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "\n" - ] - } - ], + "execution_count": null, + "metadata": {}, + "outputs": [], "source": [ "tracker = droplets.DropletTracker(interrupts=50)\n", "final = eq.solve(field, t_range=1e3, dt=0.01, tracker=[\"progress\", tracker]);" @@ -634,50 +292,18 @@ }, { "cell_type": "code", - "execution_count": 23, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "image/png": { - "height": 261, - "width": 265 - }, - "needs_background": "light" - }, - "output_type": "display_data" - } - ], + "execution_count": null, + "metadata": {}, + "outputs": [], "source": [ "final.plot();" ] }, { "cell_type": "code", - "execution_count": 24, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "{'count': 5,\n", - " 'radius_mean': 6.889864917288561,\n", - " 'radius_std': 1.1095828079220869,\n", - " 'volume_mean': 153.0,\n", - " 'volume_std': 48.4767985741633}" - ] - }, - "execution_count": 24, - "metadata": {}, - "output_type": "execute_result" - } - ], + "execution_count": null, + "metadata": {}, + "outputs": [], "source": [ "emulsion_last = tracker.data[-1]\n", "emulsion_last.get_size_statistics()" @@ -685,63 +311,18 @@ }, { "cell_type": "code", - "execution_count": 25, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "image/png": { - "height": 261, - "width": 265 - }, - "needs_background": "light" - }, - "output_type": "display_data" - } - ], + "execution_count": null, + "metadata": {}, + "outputs": [], "source": [ - "emulsion_last.plot(final, linewidth=3)" + "emulsion_last.plot(field=final, linewidth=3)" ] }, { "cell_type": "code", - "execution_count": 26, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "t=0: 0 droplets\n", - "t=50: 9 droplets\n", - "t=100: 13 droplets\n", - "t=150: 13 droplets\n", - "t=200: 12 droplets\n", - "t=250: 11 droplets\n", - "t=300: 10 droplets\n", - "t=350: 8 droplets\n", - "t=400: 8 droplets\n", - "t=450: 7 droplets\n", - "t=500: 7 droplets\n", - "t=550: 7 droplets\n", - "t=600: 7 droplets\n", - "t=650: 6 droplets\n", - "t=700: 6 droplets\n", - "t=750: 6 droplets\n", - "t=800: 6 droplets\n", - "t=850: 6 droplets\n", - "t=900: 6 droplets\n", - "t=950: 6 droplets\n", - "t=1000: 5 droplets\n" - ] - } - ], + "execution_count": null, + "metadata": {}, + "outputs": [], "source": [ "for t, emulsion in zip(tracker.data.times, tracker.data):\n", " print(f\"t={round(t)}: {len(emulsion)} droplets\")" @@ -756,7 +337,7 @@ }, { "cell_type": "code", - "execution_count": 27, + "execution_count": null, "metadata": {}, "outputs": [], "source": [ @@ -765,52 +346,18 @@ }, { "cell_type": "code", - "execution_count": 28, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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ba9arXlhY2KnXCQgIQHR0tGwLDw/ncAICcKXXvKKios1grtVq250VqDNMp0685pprZAE9JCQE3t7eHD5F1AoGeCIiGyCKIi5fvmxx+EtjY2OHX0ej0ZgF9ejoaC5eRACuBPXCwkLpjI3xtrCwEE1NTd32c/r16yfNY256a3rf09OTAZ2oixjgiYgUIIoisrOzsX//fhw6dAhpaWmdHv4SHh5uFtQDAwMZiggAUFVVJQvp6enpyMzMRF1dXZdf08nJyWzlT2MwN25+fn48s0PUwxjgiYisRKfT4ciRIzhw4AAOHDiA4uLiDj2Pw1+oLY2NjcjNzUV6erpspiGtVtup1/H09DTrJW/Zc96vXz9+QSSyAQzwREQ9RBRF5OTkICUlBQcOHMCJEyfaHA7j5uaGqKgoREdHIyYmBtHR0YiKiuLwFwIgH2ZlGtazs7PR3Nzc4dfx8fGRvcdiYmIQHh4OFxeXHqyeiLoTAzwRUTeqq6vD0aNHceDAAaSkpLR5sam7uzvGjh2LcePGYfTo0Rz+QhLTWYZMe9U7M8xKrVYjMjISMTExUliPjo6Gj49PD1ZORNbAAE9EdBVEUUReXh7279+PlJQUHD9+vM0512NjYzFu3DiMHz8e1157LRwd+THc12m1Wpw5c0bWq56fn9+p1wgKCjLrVQ8NDeX0nkS9FP9yEBF1Un19PY4dOyaNZW9rRVONRoOxY8di/PjxuP766xEQEGDFSslWiaKIEydO4KuvvsIvv/wCURQ79Dw3NzdZj3pMTAyioqLg5ubWwxUTkS1hgCci6oC8vDxpLPvRo0fb7GWPiorC+PHjMX78eAwdOhROTk5WrJRsmV6vR3JyMr766iucP3++1eNazjJkDO3XXHMNh1kREQM8EZEler1e6mVPSUnBxYsXWz3W1dUVCQkJGD9+PMaNG4f+/ftbsVKyB2VlZfjuu++wZcsWlJaWmu0fMWIEhgwZIruolLMMEVFrGOCJiH5XWFgoDYs5cuQIGhoaWj02IiJCGss+fPhwhi2yKCMjA1999RWSkpLMztqo1WrMmjUL9957LyIjIxWqkIjsEQM8EfVZoiji/PnzSEpKwv79+5GTk9PqsS4uLhgzZozUyx4UFGS9QsmuGAwGHDhwABs3bsThw4fN9vv7+yMxMRF33XUXvLy8FKiQiOwdAzwR9TmXL1/Gzp07sWPHDmRmZrZ6XFhYGG644QaMGzcOI0eOZC87tUmn02H79u34+uuvLQ65GjRoEO6//35MnjyZsw8R0VXhJwgR9Qn19fX473//ix07duDXX3+FwWAwO0atVmP06NFSaA8JCVGgUrI3ly5dwqZNm/D999+jpqZGtk+lUmHSpEm4//77ce211/ICVCLqFgzwRNRrGQwGnDx5Etu3b8fu3buh0+nMjnFxccHNN9+MadOmYfTo0XB2dlagUrI3oiji9OnT+Oqrr7B3716zL4Tu7u648847kZiYiMDAQIWqJKLeigGeiHqdvLw87NixAz/99FOrK6GOHj0aM2fOxOTJk6HRaKxcIdmrpqYm7NmzB//+97+Rmppqtj8sLAz33nsvZs2axfcVEfUYBngi6hWqqqqwe/dubN++HadOnbJ4TFhYGGbNmoUZM2awV5Q6pbKyUpoGUqvVmu1PSEjAvHnzMH78eKhUKgUqJKK+hAGeiOxWU1MTDh48iB07dmDfvn0WF1fy9PTE1KlTMXPmTAwZMoRjkKlTsrOzsXHjRuzYscNsWlG1Wo3p06fjvvvuQ3R0tEIVElFfxABPRHZFFEWkp6dj+/btSEpKQllZmdkxDg4OGD9+PGbNmoUbbriBs8dQp4iiiIMHD2Ljxo04ePCg2X4fHx9pGkgfHx8FKiSivo4BnojsQklJiTT1Y0ZGhsVjBg4ciFmzZmHq1KkMVtRp9fX1+Omnn7Bx40ZkZ2eb7Y+NjcX999+PKVOm8EshESmKAZ6IbFZDQ4M09eOhQ4csTv3o7++PGTNmYObMmYiKilKgSrJ3xcXF+Oabb/Dtt9+iqqpKtk8QBNx444247777MGLECA7BIiKbwABPRDZFFEXZ1I+1tbVmxzg7O2PSpEmYNWsWEhISeNEgdUptbS2OHTuGI0eO4PDhwxYX89JoNLjjjjswd+5cBAcHK1AlEVHrGOCJyCbk5+fjp59+wvbt21ud+nHkyJGYNWsWJk+eDDc3NytXSPZKr9fjzJkzOHz4MA4fPowzZ85YPJsDAEFBQZg3bx5mz57N9xgR2SwGeCJSjF6vx549e/Dtt9/i5MmTFo8JDQ3FzJkzceuttyIoKMjKFZI9MhgMSE9Px6+//oojR47g+PHjZjPImHJ0dMTIkSORmJiIiRMn8owOEdk8Bngisrri4mJ8++23+P7771FeXm6238PDA1OmTMGsWbO4/Dy1SxRF5OfnS0Nijhw5gsrKylaPFwQBsbGxSEhIQEJCAoYPHw5XV1crVkxEdHXsKsALgvA/AD5v5zCDKIoOViiHiDpBFEUcOXIEW7ZswS+//GI2hEGlUmH8+PGYOXMmJk6cyFk+qE1lZWU4cuSI1MteVFTU5vEhISFSYB89ejT69etnpUqJiLqfXQV4ACcBvNLKvgkAbgaw03rlEFF7amtrsWPHDmzZssXi1HwBAQG45557cPvtt8PX11eBCske6HQ62YWnrU0lauTj44MxY8YgISEBY8aM4fArIupV7CrAi6J4EldCvBlBEIyrbXxsvYqIqDVZWVnYsmULduzYAZ1OZ7Z/zJgxmDNnDm688UY4OPCkGck1Njbi9OnTUi/72bNn0dzc3OrxGo0GI0eOlHrZo6KiOPSKiHotuwrwrREEYQiAsQAKAOxQuByiPqu5uRm//PILNm/ejKNHj5rt12g0mDVrFu655x5ERkYqUCHZKoPBgIyMDNmFp/X19a0e7+joiGuvvVYK7IMHD4ajY6/4k0ZE1K7e8mn3+O+3n4mi2HoXDRH1iLKyMnz//ff49ttvodVqzfZHREQgMTERM2fOhEajUaBCsjVNTU24cOECfvvtN5w8eRLHjh1DRUVFm88xvfB0xIgRvPCUiPosuw/wgiC4AngAgAHApx18zrFWdg3srrqIejtRFHH69Gls2rQJe/bsQVNTk2y/SqXCTTfdhMTERIwaNYrDGfq4mpoanDp1Cr/99ht+++03nDlzps0edgAIDg6WXXjq7e1tpWqJiGyb3Qd4AIkA+gHYIYpintLFEPV29fX1+Pnnn7Fp0yZcuHDBbL+Pjw/uvPNO3H333QgICFCgQlKaKIooKirCyZMnpcCemZkJURTbfJ63t7d04WlCQgIvPCUiakVvCPB//P327x19giiKoyy1/94zP7I7iiLqbfLz87FlyxZs27YNVVVVZvuHDh2KxMRE3HzzzZwCso8xDocxDewlJSXtPq9///4YNmwYhg0bhhEjRiAqKoqLKBERdYBdB3hBEAYBGAcgH8BPCpdD1OsYDAakpKRg8+bNOHjwoFkPqrOzM6ZPn47ExETExcUpVCVZW3V1NU6fPi0F9rNnz7Y7HEalUiE2NlYK7MOHD+cZGiKiLrLrAA9evErUI6qqqvDjjz/im2++QUFBgdn+4OBgzJkzB7Nnz4anp6cCFZK1mA6HMQb2rKysdofDaDQaDB06VArsQ4YM4QXMRETdxG4DvCAILgD+gCsXr36mcDlEvUJaWho2b96MpKQk6PV62T5BEDBu3DjMnTsXY8eO5VCHXqqpqQnnz5+XZoc5depUh4bDBAYGSmF92LBhiI6O5nuEiKiH2G2ABzAHgDeA7bx4lajrDAYDdu3ahc2bN+PUqVNm+z09PXH77bfj7rvvRkhIiAIVUk9qamrCsWPHcOzYMWl2mIaGhjafo1KpEBcXJwvsHA5DRGQ99hzgjRevcuVVoi4qKirC0qVLcfKk+QLHcXFxmDt3LqZOnQoXFxcFqqOeYpwCNCkpCcnJySgvL2/zeDc3N9lwmMGDB3M4DBGRguwywAuCEA/gBvDiVaIu2717N1atWoWamhqpzdHREVOmTMGcOXNw7bXXcu72XiYnJwc7d+5EUlKSxWsbjIKCgmS965wdhojItthlgBdF8RwAJguiLqirq8Mbb7yBH3/8UWpTqVR46KGHMG/ePPj4+ChYHXW3y5cvY9euXdi5cyfS0tIsHuPv749JkyZh5MiRGDZsGPz9/a1cJRERdYZdBngi6pq0tDQsWbIEFy9elNqCgoKwatUqDB06VMHKqDvV1NRg79692LlzJ44ePWpxxhh3d3dMnjwZM2bMwMiRI9nDTkRkRxjgifoAg8GAjRs34r333kNTU5PUPm3aNLz44otwd3dXsDrqDnq9HgcOHMDOnTuxf/9+s1mEAMDJyQkTJkzA9OnTccMNN3DBLSIiO8UAT9TLlZaWYvny5Th48KDU5urqisWLF2PmzJkc527HDAYDjh8/jp07d2LPnj2y6xmMBEHA6NGjMWPGDEyaNAkeHh4KVEpERN2JAZ6oF0tJScHy5ctRVlYmtQ0aNAirVq1CWFiYgpVRV4miiPT0dOzcuRM///wztFqtxePi4uIwY8YMTJ06lVM8EhH1MgzwRL2QXq/He++9h40bN8raH3zwQTzxxBNwcnJSqDLqqsLCQiQlJWHnzp3Izs62eExQUBBmzJiB6dOnIyIiwsoVEhGRtTDAE/Uy2dnZeOmll3DhwgWpzc/PDytWrEBCQoKClVFnVVRUIDk5GTt37rS4yBYA9OvXD1OnTsX06dM59ScRUR/BAE/US4iiiO+//x5vvvmmbCXNiRMnYunSpfD29lawOuqouro6/PLLL9i5cycOHTqE5uZms2NcXFwwadIkzJgxAwkJCXB05Ec5EVFfwk99ol6gqqoKq1atwt69e6U2tVqNBQsWYM6cOeyVtXFNTU04fPgwdu7cif/+97+oq6szO0alUuH666/HjBkzcOONN8LV1VWBSomIyBYwwBPZuePHj+Pll1+WXcwYGRmJ1157DdHR0QpWRm0pLy/HwYMHcfDgQaSkpKCystLicUOHDsWMGTNwyy238CwKEREBYIAnsltNTU345JNPsGHDBtlCPXPmzMGCBQvg7OysYHXUksFgwJkzZ5CSkoKUlBScO3fO4gJLABARESFdjBoUFGTlSomIyNYxwBPZocLCQrz00ks4ffq01Obp6Ylly5bhxhtvVLAyMlVaWir1sB86dAhVVVWtHuvv749p06ZhxowZiI2N5bAnIiJqFQM8kZ1JSkrC6tWrUVtbK7WNGTMGr7zyCuf7VlhzczNOnz6NlJQUHDhwAOfPn2/1WJVKhaFDh2LcuHEYN24cYmNjoVKprFgtERHZKwZ4Ijuh0+mwdu1a7NixQ2pzcHDAE088gQcffJDhTyFarRaHDh3CgQMH8Ouvv1pcDdXI398f119/PcaPH4+EhASuikpERF3CAE9kB1JTU/HSSy8hLy9PagsODsZrr72GwYMHK1hZ39PU1IRTp07hwIEDSElJQXp6eqvHOjg4YNiwYRg/fjzGjRuH6OhoDo0hIqKrxgBPZMMMBgO+/PJLfPDBB7L5wG+99VYsXrwYbm5uClbXdxQXF0sXn/7666/Q6XStHhsQECAF9oSEBP4/IiKibscAT2SjLl++jGXLluHw4cNSm0ajwYsvvogZM2YoWFnvp9frcfLkSRw8eBAHDhxAVlZWq8c6OjpixIgRGDduHMaPH4+IiAj2shMRUY9igCeyQfv27cMrr7wimxt8yJAhePXVVxEcHKxgZb1XYWGhFNiPHDlicTElo8DAQCmwjx49GhqNxoqVEhFRdzp//jyioqLsalVr+6mUqA9oaGjAO++8g82bN0ttgiDg4Ycfxh//+Ee7+nCxZXq9HufPn0dqairOnj2LM2fO4OLFi60er1arMXLkSGnGmAEDBrCXnYjIzhUWFuKDDz7Azz//jBdeeAH33HOP0iV1GNMAkY3IzMzEkiVLkJmZKbUFBARg5cqVGDVqlIKV2bfm5mZkZWVJYT01NRXp6emyawosCQ4Olsayjxo1Cq6urlaqmIiIelJVVRU+++wzbN68GY2NjQCAjz/+GLfeeqvdnFFlgCdSmCiK+Oabb/D2229Dr9dL7TfddBOWLl0KLy8vBauzL/RugX0AACAASURBVKIoIj8/XwrqZ8+exfnz51FfX9/uc9VqNUaPHi31soeFhVmhYiIisha9Xo9NmzZhw4YNqK6ulu0bNmwYdDodAzwRta+kpASrVq3C/v37pTZnZ2csXLgQd955J4dptEOr1SI1NVUK6+fOnWtztVNTYWFhGDx4MAYNGoTBgwcjLi4Ozs7OPVwxERFZm8FgQFJSEj788ENcunRJtm/o0KGYP38+hg0bplB1XcMAT6SQ5ORkrF69WhY4Y2Ji8OqrryIyMlLBymxTVVWVFNSNPewlJSUdem5AQAAGDx4sBfb4+HguokRE1AccPnwY77zzjtnK2KGhoXj66acxadIku+wsY4AnsrKqqiqsWbMGu3btkrXPmzcPTz/9NNRqtUKV2Y66ujqkpaXJxq3n5+d36LleXl5SUDf2rvv6+vZwxUREZEsyMjLw7rvvIiUlRdbu7e2Nxx57DHfddZddTwxhv5UT2aGUlBSsWLFC1nPcv39/LFu2DGPGjFGwMmVlZWXhxIkTUu96dnY2DAZDu89zdXVFfHy8FNQHDx6MwMBAu+xNISKiq6fVavG3v/0N27ZtgyiKUruzszPuv/9+PPTQQ71igT0GeCIr0Ol0ePvtt/H999/L2mfPno1nn30W7u7uClWmLL1ej3Xr1uGHH35o91gnJyfExMTIxq2Hh4dDpVJZoVIiIrJlNTU1+Oc//4l///vfaGhokNpVKhVuu+02PP744wgICFCwwu7FAE/Uw44fP47ly5ejsLBQavPx8cHLL7+MiRMnKliZsoqKirBo0SKcO3fObJ8gCIiIiJCF9ejoaA4vIiIimcbGRnz33Xf45JNPUFFRIds3fvx4PP3004iOjlaoup7DAE/UQ/R6PT744AN89dVXstN4kydPxosvvoh+/fopWJ2yfv31VyxZskS20uzYsWMxduxYDBo0CAMHDrSbqbyIiMj6RFHE3r178f777yMvL0+2b+DAgZg/f36vHprKAE/UA86dO4dly5YhKytLavPw8MDixYsxbdq0PjtG22Aw4IsvvsBHH30kfalxcHDAwoULMWfOnD7734WIiDru5MmTWL9+Pc6cOSNrDwwMxJNPPompU6f2+uGVDPBE3aipqQkbNmzAZ599Jlvp8/rrr8fSpUt71fi7zqqpqcGyZcvwyy+/SG1+fn5Yt24dhg4dqmBlRERkD3JycvDee+/J/o4AVzrIHnnkESQmJvaZoZYM8ETdJDs7G8uWLUNqaqrU5uLigmeeeQZ33XVXn+5dzszMxHPPPSc7zTly5EisXr2aUzwSEdmhxsZG1NXVob6+HnV1dbLNtK21+6ZtpquQW9LQ0IDMzEwUFBTIhqSqVCqEhYXBx8cH27dvx/bt27v8+wwYMABr167t8vOtjQGe6CoZDAZ8/fXXeP/992UfQsOGDcMrr7yCkJAQBatT3s8//4yVK1eivr5earv//vvx9NNP2/UcvERkf0RRRG1tLcrKylBeXi7d1tbWKl2aopqbm9sN2S33mZ5l7ikGgwGlpaUoKyszm1rY09MT/v7+UKlUyM3NveqfZW9DbvjXk+gqFBYWYvny5Th+/LjU5uTkhCeeeAIPPPCA3X0gdKempia888472Lhxo9Tm6uqKpUuXYurUqQpWRkS9iV6vR1lZmVkot9RWXl6OxsZGpUumdoiiiIqKCpSUlKCpqUm2T6PRICAgAK6urgpVZxsY4Im6QBRFbN26FW+++SZ0Op3UHhsbixUrVvTKKas6o6SkBC+88AJOnjwptYWFheGNN95AZGSkgpURka0zGAyoqKhoN4wb20w/g8l6HBwc4OrqChcXF7i6uprdb6/NtF2tVkMQBIiiiKNHj+Jf//oX9Ho9wsLCpJ8XGhqKhx56CCNGjOiRIanOzs7d/po9iQGeqJNKSkqwatUq7N+/X2pTqVR4+OGH8eijj8LJyUnB6pR38uRJLF68GKWlpVLbTTfdhOXLl/fZBauIejNRFKXx0G1tbQ3NqK6uloJ5RUWFbJxzd9NoNPD29oaPj4906+bm1qevU1KpVJ0K366urt3+ty41NRXr16+XzmgbA7W/vz+eeOIJzJo1q0+f1W6JAZ6oE5KTk7F69WpUVVVJbWFhYVixYgWGDBmiYGXKE0URmzZtwttvvy2NjVSpVHjyySfx4IMP9uk/jkRKE0URDQ0NHQrTdXV10Ol07R5j2tZyfLI1OTg4yMK46f2Wbd7e3nBxcVGsVpKrq6tDRkYGNm7ciF27dsn2aTQa/M///A/uu+8+/j+zgAGeqAOqqqqwZs0asw+Ye++9F0899VSf/3Cpq6vDq6++iqSkJKmtX79+eO2115CQkKBgZUT2QxRFixcLdkfArqur69Fe7e7m6enZbhg33np4eLCDwMY1NzcjNzcXmZmZyMjIQEZGhsVZZYArX8juvvtuPPbYY/D29laoYtvHAE/UjpSUFKxYsQIlJSVSW//+/bFs2bJevcpbR128eBHPP/88MjMzpbZBgwZh3bp16N+/v4KVEdkOURRRXl6OgoICFBYWoqCgQLZVVFSgrq5O6TK7zMnJqdNjoE0fu7m5SeG8X79+nKHKTomiCK1WKwvpGRkZyM7O7tDFw5MnT8aTTz4pG/tOlvFfCFErdDod1q9fj++++07Wftttt2HhwoUczw1g3759WLp0qWwKtrvuugvPPfdcn1lMg8iovr7eYjg3hnalA7parZaCs0ajuarA3bKNgbvvqaqqkoV04/2ampoOv4ZxHve4uDjMnTuXi/p1Av/FEVlw4sQJLFu2DIWFhVKbj48PXn75ZUycOFHBymyDwWDA3/72N2zYsEFqU6vVeOGFFzB79mwFKyPqOQaDAVqt1iyYFxQUID8/H2VlZVf9M9RqdatBuaOhW6PRmB3j4uICBweHbvivQN2ttrYW1dXV0v8z44wstkKv1yMrK8ssqGu12k69TkBAAKKjo2VbeHg4O3u6yG4DvCAIEwAsADAOgA+AMgCnAawXRfEnJWsj+6XX6/HRRx/hyy+/lI3Lu/nmm/Hiiy9yPB6AyspKvPTSSzh06JDUFhgYiHXr1iE+Pl7ByoiuXlVVlVkwN94vKioym5O6M9zc3BAcHCxtQUFBCAkJQVBQEPz9/eHq6spZNnqh5uZmFBcXm52Vyc/PR0FBASorK2XHtzYjTHdsbc0cYzAYkJ+fbzb8JS8vr1MXKbu7u8tCelRUFKKiouDp6dnl/4Zkzi4DvCAILwNYCaAEwHYARQD8AIwAcBMABnjqtLS0NPz1r39FVlaW1Obu7o5FixZhxowZNtUjopRz585h0aJFKCoqktquu+46vPrqq+jXr5+ClRF1nCiKKCoqQkZGBtLT05GRkYGLFy+isLAQ1dXVXX5dBwcHBAYGSsHcGNKNgd3T05OfI72U8YufpYB+6dKlTq1aajAYoNPpemR+e+Pc7S23hoYGZGVloaGhocOvpVarER4ebtar7u/vz/e5FdhdgBcEYQ6uhPfdAO4SRbG6xf6+PQk3dVpzczM+//xzfPLJJ7IP2euuuw7Lli1DQECAgtXZjq1bt2LNmjXQ6/VS2//7f/8Pf/rTn9hrSDarurpaFtSNW1fDkY+Pj1kwN24BAQEcptJLNTY24tKlS2YB3Xh25mq++KnVavTr10+aLagnV4ptbm5GTU1Np8apC4KAkJAQqTfdGNRDQ0P5fleQXQV4QRBUANYC0AG4r2V4BwBRFLlGMnWYwWDACy+8gP/85z9Sm4uLCxYsWIC7776bvQi4MqzojTfekF3M6+bmhpUrV/J6ALIZTU1NyM3NlYX19PR0FBcXd+p1nJ2dERwcLA1tMQ3ogYGB0Gg0PfQbkJJEUURFRYXFC5ALCgpQXFx8VXPd+/r6Su+rll/8/Pz8ZJ0gzc3NFqcKbW3q0M5s7Z0J8PX1lYX06OhoREREwNXVtcu/O/UMuwrwuDLePQLANwDKBUGYCWAIgHoAh0VRPNiRFxEE4VgruwZ2S5VkF0RRxOuvvy4L70OHDsUrr7yC0NBQBSuzHZcuXcKiRYuQmpoqtUVFReH111/nNF+kCFEUcfnyZVlvenp6OrKzszs1Pt3LywsxMTGIjo5GTEwMIiIiEBISAm9vb35x7+UqKiqQnp4u+6KXm5t7VUNWTL/4tQzoQUFBnVorxMHBAe7u7j0y01lrK+YKgoCIiAgOhbQj9hbgjZNuFwM4DuBa052CIOwDcI8oipetXRjZn3/84x/YsmWL9Hju3LlYuHAhh4P87vDhw1iyZAkqKiqktmnTpuHll19mbwxZhU6nQ1ZWlixsZWRkyFZCbo+TkxMiIiKkoG689fX1ZVDv5fR6PXJycszOypiu6dFRgiDA39/fYkAPDg6Gj4+PXbyfnJyc4OTkxAtKewF7C/DGwch/ApAN4BYAvwIYAOBNANMAbMGVC1lbJYriKEvtv/fMj+ymWsmG7dixA++//770eOrUqQzvvxNFEf/4xz/w4YcfSqeMHRwc8Mwzz2Du3Ll28UeK7EtzczMKCgpkISsjIwP5+fmdep3AwEBZUI+OjkZYWBjnKO/lTM/KGL/spaenIycnp1MXj2o0GllAN70YOTAwkNMdkk2xt08149USAq70tP/2++OzgiDcCeACgBsFQbi+o8NpqO85dOgQVqxYIT0eNWoUli9fzvCOK/MRL1++XDasyNfXF2vXrsXw4cMVrIxsgenpd51OJzsFbxyfa6m9veNML4zuCDc3N7Me9aioKC6u1gfU1dXJzsoYv+x15qyMs7MzoqKiZO+fyMhIDp8iu2JvAb7899ssk/AOABBFsU4QhJ8BPAIgAQADPJlJS0vDokWLpF6Z6OhovPHGG+xZAZCVlYXnnnsOFy9elNqGDx+ONWvWwM/PT8HKqCc0NjYiNzcXFy5cQEZGBsrLy83Cdsvg3ZnezO6gUqlk09QZA1f//v0ZtHo5g8GAwsJCs7MyeXl5sjU62hMUFISYmBjZFhISwg4bsnv2FuDP/35b0cp+Y8DnAF0yU1hYiL/85S/ShUrXXHMN3n33XXh4eChcmfJ27dqFlStXypZ6nzdvHubPn8/hB71AWVmZ1FtpDOxZWVlXtShRdxIEAb6+vrIeUa7S2He0nOrTeGv6edQeNzc3WUg3funjrEHUW9nbX+Z9AJoAxAiCoBZFseV51yG/3+ZYtSqyeRUVFXjqqaekpc49PDzw3nvv9fk53mtqarB+/Xr88MMPUpuLiwuWLl2KadOmKVgZdUVjYyNycnJkwwsuXLggve+vloODAzQajWwBGI1GAxcXF4vtHT3O1paOp55hXOnT+L403l66dKnDr6FSqRAWFiYL6jExMTwrQ32OXQV4URRLBEHYBOB+AH8F8LJxnyAIU3DlItZKAEnKVEi2qL6+Hs8++6w0NMTJyQlvvvkmIiMjFa5MWf/7v/+L1atXQ6vVSm2hoaF4/fXXER0drWBl1BHGXnVjEOrKVIqBgYFSEAoKCmo1eHdkGXYiU7W1tbIzPsbb+vr6Dr9Gv379EBsbK4V043Sfzs7OPVg5kX2wqwD/u2cBXAfgJUEQJgI4jCuz0NwJoBnAY6IotjbEhvqY5uZmLFmyBKdOnQJw5VT9ypUrMXJk351sqLKyEm+88QZ27twpa588eTKWLl3KCwFtTMtedWNg70yvuouLiywEGXsuOXyMrpZxrLrpF8kLFy6gsLCww6/h6OiIyMhIs/eovUzNSKQEuwvwoihqBUG4Dld63+8EMBZANYAdAFaLonhIyfrIdoiiiHXr1mHfvn1S28KFC3HLLbcoWJWy9uzZg7Vr18rCn4+PDxYvXozJkycrWBkB3d+rHhsby4v2qNvodDppjLrxPZqRkdGpBZB8fHyk96XxPRoeHs5rbYg6yS7/xYiiWIYrPfHPKl0L2a7PP/8c3377rfT4wQcfxL333qtgRcopLS3F2rVrsXfvXln7rbfeioULF8LLy0uhyvqG5uZmlJeXo7S0VNrKyspQWlqKkpISlJaWIjs7+6p71WNiYngGha6aKIooKioy61XvzLz8Dg4OiIiIkMK68dbHx6cHKyfqO+wywBO1Z9u2bfjwww+lx9OmTcNTTz2lYEXKEEURP/30E958803ZPMn+/v5YsmQJJkyYoGB19s1gMKCyslIK48YgbgzmpltFRUWnpr5rKSgoCNHR0bKeS/aq09UQRRE1NTXSezQ3N1d28XNtbW2HX8vb29vsrE9ERASvmSDqQQzw1OukpKRg5cqV0uMxY8Zg2bJlfS7sFBcX49VXX0VKSoqs/Y477sD8+fM5/tkCURRRXV0t6yUvKSmxGMrLysqklWq7C3vV6WrpdDqL71dL79/OLqBlnJc/NjZW9mXS19eXY9WJrIwBnnqVc+fOYfHixVKwiomJweuvv96n5pIWRRHff/891q9fLxubGhQUhJdffhkJCQkKVqcMnU5nFspbCzWNjY09UkO/fv3g4+MDPz8/+Pr6wsfHB76+vtJmXLa9r33RpPbp9XpZKG/tS2VpaWmn5k5vi5eXl9lY9YiIiD71WUpkyxjgqdcoKCjA/PnzpT9g/fv3x7vvvtunei8LCgqwcuVKHD16VGoTBAGJiYl48skne9WiJi1DTVtbd4Waljw8PKQw3low9/X1hbe3d5+/SE8URTQ2NkKn00krvpreCoIgTVtpnLrSeOvk5GT3PbzG39/0966trUVeXh7y8vKg1WpRVVWF6upqVFVVobKyUrrfU+9fZ2dneHp6wtPTEz4+PoiMjERMTAzi4uIQHBwMNzc3aDSaXvHfn6i36dt/UajXqKiowNNPPy1dBOjp6Yn33nsP/v7+CldmHQaDAZs2bcIHH3wgm2c5LCwMf/3rXzF8+HAFq+s4g8FgdrGnaa+j6Rhz0zH93Umj0UjBu61g7uPj02t7Iw0GA+rr61sN2x1ps7S/q0OOWi4gZRrwW4b9jra5uLi0erbD+Pt35Xds2VZbW4vKykpUVlaivr4eer1e2hobG6/q2ghLBEGAo6MjHB0d4eDgIN239FilUqG+vh719fXQarVIS0uz+Joqlcrsv39X/7ub3ufZJqKuY4Anu1dfX48FCxZICzWp1Wq89dZbiIiIULgy68jJycGKFSukue6BK39wH3jgATz++OM2vehJeXk5du7cid27dyM/Px8VFRXdPq4cuPKeaNkrbmnz8fGBq6trt/98JYmiiLq6OovDhkpKSqT26upqKZR2ZrEda2hubkZ1dTWqq6u79XVNV4YVBEEWzDvD2LtuGs5NQ3p3aCuIm7apVKpu7y03GAyoqalBTU1Nt76us7Nzt3wZM23jhbPUVzDAk10zLtR05swZAFd6n1atWmU3Pc5Xo7m5Gf/85z/xySefyC5Gi4qKwrJlyzBo0CAFq2tdc3MzDh48iK1bt2Lfvn2dmuPclEqlsjhcxbj5+flJ+93d3XvdEIDGxkazqSgtnbEoLS21mUDu5OTUaggD0GovdlffI+0x9j53hCiKFsN5Z0O6g4MDBEGASqWSera9vLzg6ekpnRkw9lQb7zs7O/f4+7epqanVMwo9dV1IQ0MDGhoaUF5e3m2v6ejo2KUvAu7u7rLPj956do16DwZ4sluiKGLt2rWyhZqef/553HzzzQpWZR0XLlzAihUrZKe8HRwc8Mgjj+Dhhx+2yV6o3NxcbN26FTt27EBJSUmrx3l5eZkFcONj057yfv369bpT8AaDAVVVVRZDeMu2ysrKHq2lo8MlWra3NXSiq+9L49jxrgzlaW3oi6VedoPBIBvaYjAY0NTUJAV2Y+g2bsYefGOvd8v9xi0gIADh4eEYMGAAQkNDERoaipCQEISEhNjFdSnGcN/V/+4t2423PVVrVVXVVQ+x8/T0tNgpYPo55OvrCy8vr173OUT2gQGe7NaGDRvw3XffSY8feughJCYmKlhRz9Pr9diwYQM+//xzNDc3S+3x8fH461//ipiYGAWrM6fT6ZCcnIytW7fit99+s3jM0KFDcdttt2HcuHHw8fGxyS8fbbE0Xry2trbNgGPpcUVFBUpLS2X/X7uLWq02Cx4tA4mHhwfc3NzaHR+uBCcnJzg5OcHT07NLzzde8Gz6hUir1eLSpUvQarUoLi6GVqtFdXU11Gp1p3u8VSoV+vfvj5CQECmgG7fg4GCbHsbWEY6OjvDw8OjWqWcNBgMaGhqu+stYy3933TUEz/glIDs7u83jHBwcWj0D2LLjobcNzyNlMcCTXdq6dSs++ugj6fGtt96KJ598UsGKet7Zs2fxyiuvICsrS2pTq9V4/PHH8cADD8DBwUHB6v6PKIo4efIktm7diuTkZItDFHx8fDBr1izcdtttil+r0NzcjFOnTuHy5cttBuyWs4cYHys1PEWlUsHb29ssJFg6Y+Hm5tbrhhCJoiidrTAdy28a0o33O9ob29ZMQSqVCsHBwVLvuWlIDwwM5JCLTlKpVNKZme5andXSTD8d/SJgXJTNuHX0i0BzczO0Wi20Wm27x5peIG/679PPzw/9+vWTvkAbz2AZz17Zymc72RYGeLI7KSkpWLVqlfQ4ISEBS5cutakew+7U0NCAv//97/jyyy9lf1SGDh2KZcuWYcCAAQpW93+0Wi22b9+Obdu2IS8vz2y/g4MDJk6cKPW2KzmtosFgwLFjx5CcnIy9e/eioqJCsVpaMk5NaekPfcs/+L3xPa/X69sM48awXlZW1u1j452cnKSQ3jKo9+/fv89PBWrrBEGAWq2GWq2Gl5dXl1/HdJVlSxd8m26dGapj/OJg6fOxLWq1WhbqWw5Paxn8W7bxS0HvxE8jsiupqalYtGiRFGRjY2Px+uuv292wi446ceIEVq5cKc2wA1yZOeOpp55CYmKi4gFOr9dj37592Lp1Kw4dOmSx1yoyMhK33347ZsyY0W09bV1hMBhw8uRJJCcnY8+ePdKUo92hI2PALf2RNb01jrntynCL1qZ9bO2xpbaeGLrTUaIoora2FiUlJd0+0wlwpbe3reENfn5+8Pf3R//+/RX/N0XKM57d8vb2RnR0dJvH6vX6Nmd3Mt06u/Kt6c/Q6/Xd2tHQ8kuBp6cnoqOjMXDgQAwcOBARERG99u9qb8EAT3YjPz8fCxYskIYsBAYG4p133oGbm5vClXU/nU6H999/H5s3b5a1jxkzBi+//DKCg4MVquyKCxcu4Mcff8TOnTst9kC5ublh+vTpuP322xEfH6/Y8A2DwYAzZ85g165d2L17d6sXzwYEBODaa6+VFq5prdeqs/OJWyKKosUx82VlZUhNTbUYslsO22l5TE8t9GPrTGcOaXmBoen93nq2gpSnVqsRGBiIwMDANo8TRRE1NTVmwd74uKKiwuKY/rq6um5fKwCw/KXg+PHj0n0nJydERUUhLi4OAwcORFxcHGJiYjiO34YwwJNdKC8v7zMLNf36669YtWoVioqKpDaNRoNnnnkGd9xxh2JhuLKyEklJSdi6dSvOnz9v8ZiEhATMnj0bkyZNUuzCPVEUcfbsWSQnJ2P37t0oLi62eJyvry9uueUWTJkyBUOHDrUY8IxTB7a8KNW4umvLMN1WD7jxNXrqD3JvYbwo0NJFgKZB3cfHBy4uLkqXS9QhgiBIFwJ35rofURTR0NDQ7gXynT371t5nUGNjI9LS0pCWloYff/wRwJUzEwMGDJCF+ri4uC5fXE5XhwGebF5dXR0WLFggjRtUq9V4++23ER4ermxh3ay6uhpvv/02tm7dKmsfP348XnrpJQQEBFi9JoPBgEOHDmHbtm3473//a3E+6MDAQNx2222YNWsWgoKCrF4jcOWPXFpamhTaCwsLLR7n7e2NyZMnY8qUKRgxYgQEQcCxY8ewfPlyFBcXWwzcPbGwVE8wTmnYkTMIls4kKH263NXVFX5+fvD09GRvOdHvBEGAi4tLt35ZNf1SYNyKi4tx/vx5nD9/HmlpabIOJCODwYDs7GxkZ2cjKSlJag8KCpLCvDHY+/n59boL520NAzzZtObmZrz44os4e/YsgCs9AK+99hqGDRumcGXda9++fVi9ejUuX74stXl6euK5557DjBkzrP5BmJeXh23btmH79u0WZ1dQq9WYPHkybrvtNowePVqRwCWKItLT05GcnIzk5GTk5+dbPM7T01MK7aNGjYKDgwMaGxuRlJSEL7/8EhcuXLBy5VdWoGx5kZmlGSg6GsRtbdpHIrJdpl8KjNclxcbGYsKECdIxVVVVUpg3BvucnByLPfeFhYUoLCzEf/7zH6nNx8dHCvPG2+DgYIb6bsQATzZLFEWsXr0a+/fvl9qef/553HTTTcoV1c2Ki4vx1ltvYc+ePbL2yZMnY/HixVa96LOurg579uzB1q1bZWMhTQ0ePBizZ8/G1KlTu3VO6M7IysrCrl27kJycjNzcXIvHeHh4YNKkSZgyZQrGjBkjzR5SVVWFb7/9Fps2bWpzMSlTarXaYohuLXC3FbyNz2HYJiJb5unpiTFjxmDMmDFSW11dHdLT02XBPjMz0+KZ2bKyMqSkpCAlJUVqc3NzkwX6gQMHIjw8nDPidBEDPNmsTz/9FD/88IP0+OGHH8acOXMUrKj7NDY24t///jc+/fRT2TziPj4+WLx4MSZPnmy1WgoLC7Fhwwbs2rXL4uqI3t7euPXWWzF79mxERUVZrS5Tubm5Umg3nQfflEajwU033YSpU6fiuuuukw0JuXjxIr766its27YNDQ0Nsuc5Ozvjtttuw6RJk+Du7m4WwDl1IBHRlWFuQ4cOxdChQ6W2xsZGZGdnS4E+LS0NFy5csHhhfW1tLY4fPy7rIFKr1YiOjkZcXBzCw8MRFhaGsLAwBAUFKT6sz9bxLxPZpB9//BF///vfpcczZ87En//8ZwUr6j6HDx/G2rVrzXqPZ86ciWefffaq5i/uDL1ej3/961/47LPPzKY3U6lUuOGGGzB79myMHz9ekQ/SvLw8aXhMenq6xWM0XfVUkgAAIABJREFUGg0mTpyIKVOm4Prrr5ctpiOKIo4dO4avvvoK+/btM3uun58fEhMTcffdd1vtvzkRUW/i5OSE2NhYxMbGSm0GgwH5+fnSRbDGYF9ZWWn2fL1ej9TUVKSmpsrajQunGQN9WFgYBgwYgLCwMAQEBPAsJhjgyQbt378fr776qvR47NixWLp0qd2PndNqtXjrrbewe/duWXt0dDQWLVqEkSNHWq2WgwcPYt26dWYLioSHh2P27NmYOXMmfH19rVaPUWFhIXbv3o1du3YhLS3N4jHOzs5SaB8/frzZbDeNjY1ITk5udXx7bGwsHnjgAUyZMoU9PERE3UylUkmhe+rUqQCudKhotVopzBuDfWuzhBkMBuTl5SEvLw8HDhyQ7VOr1QgNDcWAAQOkW+PP8/b2tvus0FEM8GRTUlNT8cILL0gzf8TFxWHdunV2PYyhsbERGzduxCeffCI7rajRaPDEE08gMTHRamMAi4uL8eabb2Lv3r2y9ri4OCxcuFCamcWaampqsHXrVvz888/SxcotqdVq3HDDDbjlllswYcIEi3MRtze+fcKECbj//vsxatSoPvMBT0RkCwRBwDXXXINrrrkGEydOlNorKiqksfQXL17ExYsXkZub22qwB6702mdmZiIzM9Nsn5ubmyzQm27u7u498rspxX5TEfU6eXl5mD9/vjQmPCgoCO+++y40Go3ClXXd4cOHsW7dOuTk5Mjab731VvzlL3+Bn5+fVepo7UuEu7s7/vznP+Oee+6x+ilJnU6Hr7/+Gl9++aXFxaCcnJxw/fXXY+rUqZg4cWKr74OOjG+fN28eBgwY0CO/BxERdU2/fv1w3XXX4brrrpO119fXIz8/Xwr0xnB/8eJFlJeXt/p6tbW1FofkAFeuMWsZ6gcMGICQkBDF1i25GgzwZBPKysrw9NNPS/8wjQs1KTGMoztotVq8/fbbSE5OlrVHRUVh8eLFVh0uc/ToUaxduxbZ2dmy9lmzZuEvf/mLVWe6Aa4E9y1btuCf//yn2ZhIBwcHjB07Vgrtrc10w/HtRES9l4uLC6KjoxEdHW22r7q6Gnl5eVKwz83NlR5bmojBqKysDGVlZTh58qSs3Xh2IDIyEu+8847dnKFlgCfF6XQ6LFiwQJrHW61WY/369XbZY9rWcJk//elPSExMtNpwoMuXL2P9+vX4+eefZe3R0dFYvHgxRowYYZU6jOrr67Flyxb84x//kC3fDQAhISF48MEHccstt7S5qh/HtxMR9W0eHh4YNGgQBg0aJGsXRRFlZWWyQG/stc/PzzebrMH0eZcuXYKzs7PdhHeAAZ4UptfrsXjxYul0l0qlwurVq2XTVNmLI0eOYN26dWY93TNmzMD8+fOtNlymubkZmzZtwt/+9jdZb4TxS8TcuXOtOu9uQ0MDvv32W3zxxRcoKyuT7QsKCsKjjz6KmTNntlkTx7cTEVFbBEGAr68vfH19zc5yGwwGXLp0STYUx9h7X1RUBIPBYHedhgzwpJjm5ma8/PLLOHjwoNT2wgsv4MYbb1Swqs7TarVYv349du3aJWuPjIzECy+8YNXhMidPnsSaNWuQkZEha582bRoWLFgAf39/q9Wi1+vx3Xff4YsvvjAL3f3798ejjz6KWbNmtXlGguPbiYjoaqlUKgQFBSEoKAhjx46V7WtsbERBQYE0eYa9YIAnRRgMBqxcuVI2G8of//hH3HXXXQpW1TlNTU3ScJmWPd2PP/445s6da7XhMmVlZXjnnXewY8cOWXt4eDgWL14sW02vp+n1evz444/4/PPPodVqZfsCAgLwyCOPYPbs2a0OceH4diIishYnJyeEh4crXUanMcCT1YmiiDfeeAPbt2+X2u677z489thjClbVOUePHsW6devMVgWdPn065s+fb7WeboPBgG+++QYffvghampqpHYXFxf88Y9/xLx586w2FryxsRHbtm3DZ599ZjYFmL+/Px5++GHccccdssWWWj6f49uJiIjaxwBPVvfRRx9h8+bN0uM77rgDzzzzjF2MXW7twtDIyEgsXrwYo0aNslotp0+fxpo1a3D+/HlZ+80334yFCxfimmuusUodTU1N2LFjBz799FMUFRXJ9vn6+uLhhx/GXXfd1Wpwr62txebNmzm+nYiIqIMY4MmqvvjiC2zYsEF6PHXqVCxZssTmg1lTUxO+/vprfPzxx4oPl6moqMD777+PH374QdYeFhaG559/Htdff71V6mhubsZPP/2ETz/9FAUFBbJ9Pj4+eOihh3D33XfDxcXF4vPr6+uxefNmfPHFF2bzwHN8OxERUesY4MlqtmzZgvfff196PGHCBKxYscLqCwh11rFjx7B27Vqz4TLWvjDUYDDghx9+wPvvvy8LvGq1Go888gj+8Ic/tNrL3d11JCUl4ZNPPkFeXp5sX79+/fDggw9izpw5FldLBa4Mlfnhhx/w2WefmfW4c3w7ERFR+xjgySp27NiBtWvXSo9Hjx6NNWvWWK3XuisuX76Md955B0lJSbL2iIgILF68GKNHj7ZaLefOncOaNWtw9uxZWfvEiRPx3HPPISgoqMdrMBgMSE5Oxscff4zc3FzZPk9PTzz44INITExsdcVUg8GAn376CR9//DEKCwtl+4KCgvDYY49h+vTpHN9ORETUDqulJ0EQvAHoRVGstdbPJNuwd+9evPLKK9LjIUOG4K233rLZpYubmpqwadMm/P3vfzcbLvPYY49h3rx5VvviUVVVhY8++gjffPMNRFGU2oOCgvD8889jwoQJPV6DwWDAnj178PHHH5vNce/h4YE//OEPmDt3Ltzc3Fp9/n/+8x989NFHyMnJke3z9/fHo48+2uasNERERCTXrSlEEITJAKYBWC2KYvnvbQEAtgC4AUCTIAgfiKL4bHf+XLJdBw8exJIlS6T5VWNiYvDuu++22kurtOPHj2PNmjVmw2WmTp2KBQsWICAgwCp1GAwG7NixA++++y7Ky8uldicnJ/x/9u47rKozW/z4dx+aHBAUpQiKSmzYBQURATUmGqPYjdFEsUQToyYmmZl7f3fuzczc3Nw7mZSxhGiKNTYcjWUsiZoIgoKoKBp7LCgWVHo9wNm/P07YwxEwioeirs/z+MBuZ78nUVhn7fWuNyIigoiIiBr/AGQ0Gtm3bx9Llizhl19+MTvm6OjIhAkTmDBhAo6OjpVer6oqBw8eJDIykjNnzpgdc3Z2ZsqUKYwdO7befpATQggh6itLpxHnAJ1VVf19uX0fAyHAeaAh8JaiKPGqqkZV9gLiyXHs2DHee+89SkpKANMky88//xwnJ6c6HllFd+7cYf78+ezcudNsf+vWrfn9739fq33Uz507x1//+leOHz9utr9Pnz787ne/o0WLFjV6f1VViY6O5ssvv6zQzlGv12uB+/3+Px49epTIyEiOHTtW4fpXX32VCRMmVJmxF0IIIcT9WTqA7wZEl20oimIPjAF2q6o6SFGUhsAJ4HVAAvgn2OnTp3nrrbe01TM9PDyIjIzExcWljkdmrrCwkHXr1rF06VKzchl7e3utXKa2Sjtyc3NZsmQJ69evN1sRzt3dnXfffZf+/fvXaLceVVWJjY1lyZIlFTLm9vb2vPzyy0ycOPG+k0tPnTrFF198Yba6Lpi6yrz00ktMnjxZJqcKIYQQj8jSAbwbUH52WiDQAFgOoKpqjqIo/wRGWvi+oh65ePEis2fPJi/PNN3BxcWFyMhIPDw86nhk/1JSUsLWrVv58ssvK3RCqe1yGVVV+f777/nss8+4e/eutt/a2ppXXnmFadOmVdnRxRJKS0uJj49nyZIlnDp1yuxYgwYNeOmll3j11Vdp1KhRla9x8eJFFi9ebLayLpjew6hRo5g6dSpNmzatkfELIYQQTxtLB/BFQPlIIwRQgfLroWcD9SsNKywmNTWVWbNmkZWVBZi6k0RGRuLt7V3HIzNRVZW9e/cSGRlJSkqK2bFWrVrx+9//noCAgFobz9GjR1mwYAEnT54029+rVy/+8Ic/1MjyzqqqcunSJQ4dOsShQ4c4cuSI9mGrjJ2dHWPHjmXSpEn3fWqSmprKkiVL2Llzp9kkW51Ox4svvshrr71WKx1yhBBCiKeJpQP4S8CActujgfOqqpZf5aUFUHG5xQekKMploKqVXW6pqlp/0rxPmbS0NN544w0to63X61m4cCFt2rSp45GZHDp0iEWLFlXIMjdt2pQZM2YQHh5ea91lLly4wKJFi4iNjTXb7+rqyrx583juuecsWi6TlpamBeyHDh2qdMVTMPWUHzNmDJMnT6ZJkyb3fb1vvvmGzZs3U1paanZs4MCBzJw5k9atW1ts/EIIIYT4F0tHKyuAvyuKkgAYgC7An+85xw84e++FDykL+Hsl+3Mf8XVFNWVkZDBr1iytv7etrS2fffYZnTp1quORwZkzZ1i4cCEJCQlm+x0dHYmIiGD8+PFVrhZqaTdu3GDx4sXs2LHDLGNtY2PD+PHjee211yzSoScnJ4cjR45oAfu97Rvv5e7uzoABA5g0adJ9F6bKzMxk+fLlREVFYTAYzI716dOHWbNm0aFDh0cevxBCCCGqZukA/gugN/ASoADbAG31HkVRAgBfYO0j3idTVdU/PeJrCAvJyclh9uzZWpBoZWXF3/72N/z9/et0XFevXuWLL77ghx9+MNtva2vL+PHjiYiIqLWOOFlZWSxdupSoqCiKi4u1/Yqi8OKLLzJz5kyaNWtW7dc3GAycOHGChIQEDh06xKlTp8wmwt6rYcOG9OrVi4CAAAICAmjRosV9M/65ubmsXr2a1atXm032BfDz82PWrFl079692uMXQgghxIOzaACvqmoxMEFRlNdNm2rOPadcBHoAly15X1F3CgoKeOuttzh71vRQRafT8T//8z8EBwfX2Zju3r3LV199xXfffWdW3qHT6Rg2bBgzZ86stQmqhYWFrF27luXLl1eoM+/bty+zZ8+uVomR0Wjk/PnzWsCelJSkdfypjK2tLd27d9cC9g4dOqDT6R5o/FFRUSxfvpzs7GyzY76+vrz55psEBgbWaHccIYQQQpirkYJfVVWzq9h/h0eofy/HTlGUVwBvIA9IBmJUVS29/2XCkgwGA++++y7Jycnavj/+8Y8MHDiwTsaTm5vLypUrWbNmDYWFhWbH+vfvz6xZs2qtLru0tJQtW7ZU2uWmc+fOzJ07Fz8/v4d6zdTUVC1gT0xM1CYKV0ZRFHx9fenVqxeBgYF069btoRZMKi4u5rvvvuObb74x64wD4OPjwxtvvEG/fv0kcBdCCCHqQO3M2LM8D2DVPfsuKYoyRVXV6MouKE9RlCNVHJLi3QdUUlLCv//7v3Po0CFt37vvvkt4eHitj8VgMBAVFcXSpUsrZIn9/PyYM2cOXbp0qZWxqKrKTz/9xOeff86VK1fMjrVs2ZLZs2c/cOCbkZFBYmKiVsdeNr+gKi1atCAgIIDAwEB69uxZrfKg0tJSduzYwVdffVXhfl5eXsycOZPBgwc/UPZeCCGEEDXDogG8oigXf/sswFRe80w1b7MM2A/8DOQAPsBsYAawU1GUIFVVj9/nevGIjEYjf/7zn4mO/tdnpTfeeIOXX3651sfxz3/+kyVLlnDr1i2zY+3atWP27NkEBQXVWpa4qpaQTZs2ZebMmYSHh2NlZVXl9QUFBSQlJWkB+72roN7LxcVFy7D36tXrkWrojUYjP/74I4sXL64w4dXV1ZXp06cTHh5ea4taCSGEEKJqls7A6zD1fb+XM1C2Csx1oLiScx6Iqqr3drU5CbyuKEou8C7wJ35joShVVSudXflrZv7h6hqeMqqq8te//pWdO3dq+yZNmsTUqVNrdQwxMTF8/vnnXLxo/pnR09OTWbNm8fzzz9dalvj8+fMsWrSIuLg4s/0ODg5ERETw8ssvV9nlpqSkhD179rB582aOHTtGSUlJlfext7fHz8+PwMBAAgICeOaZZx7pw0lZHX18fDzff/99hQ8Mzs7OTJ06lTFjxjxU+Y0QQgghapalJ7G2quqYoihtgAWAAzDIkvf91WJMAXxoDby2wBQ4L1y4kI0bN2r7Ro8ezZw5c2oty52UlMTChQvN6u7BlI2ePn06I0eOrLUs8f1aQo4bN46pU6fi7Oxc6bXZ2dls2rSJqKgo0tLSKj1Hp9PRpUsXLcPeuXPnR35vt2/fJiEhgfj4eBISEsjIyKhwjoODA6+88goTJkzAwcHhke4nhBBCCMurtRp4VVUvKIoyClPG/H3g3y18i7IoSCKOGrJs2TJWrlypbb/wwgv84Q9/qJXgvaqFj/R6Pa+++ioTJ060SP/0B5GZmcnSpUvZsGHDQ7eETElJYe3atWzbtq3CRFuAZ555RgvY/fz8HjmALiwsJCkpifj4eOLj4/nll1+qPNfOzo6XXnqJyZMnV/nBQwghhBB1r1YnsaqqWqgoym7gZSwfwAf9+vVB6/DFQ1i3bh2RkZHadlhYGO+//36Nl6lcv36dxYsXs3PnTrMst7W1NWPHjmXq1Kk0bty4RsdQpqCggLVr17JixYqHagmpqipHjhxh9erVxMbGmr0PMD09GDduHMOHD7/vIkoPQlVVrSwmPj6eY8eOVVhwqbzGjRsTGBhI7969CQ4OrrX/lkIIIYSovrroQlOCqYvMQ1MUpRNwQ1XV9Hv2twQW/br57aMNT9xr69atfPzxx9p2QEAA//u//4u1dc399cnIyNCy3OXrwhVF4YUXXuD111/H09Ozxu5fXnVbQhoMBn744QfWrFlT6YTUdu3aMWHCBJ5//nlsbW2rPb67d+9qZTHx8fGkp6dXea6NjQ3du3end+/e9O7dm7Zt20pHGSGEEOIxU6sBvKIoTTFNML1azZcYC/yboig/AZcwdaF5BngRaADsAD6u+nLxsPbs2cMHH3ygbXft2pVPPvnkkQLO+8nPz+fbb7/l22+/rbDiZ9++fXnzzTdp27Ztjdz7XmUtIRctWkRKSorZMW9vb2bPnk3//v0rlBBlZGSwceNGNmzYUKGHOkBISAgTJkygZ8+e1So/MhgMHDt2jIMHDxIfH8/58+fve76Pj48WsPfo0QN7e/uHvqcQQggh6g9Lt5H8r/vcpwUwHFNHmuqWz/wEtMe0mmsQpnr3TCAWU1/4Veq99Qmi2uLi4vjjH/+I0WgETBnj+fPn10gAWFxczKZNm/j6668rTKzs2rUrc+bMoUePHha/b1Wq0xLy4sWLrF27lu3bt1coW2nQoAHDhg3j5Zdfxtvb+6HGoqoqFy9e1DLsR44cuW9ZjLOzs1YW07t371pbdVYIIYQQtcPSGfg//cbxbOADVVU/qs6L/7pI028u1CQe3dGjR/nd736nla+0atWKzz//nIYNG1r0PqqqsmfPHhYuXFhh4SAfHx/efPNNQkNDa63LzcO2hFRVlYSEBFavXs3BgwcrvJ6bmxvjxo1j1KhRD7WwUnp6OocOHdKC9ntLd8qztrama9euBAUF0bt3b9q3by9lMUIIIcQTzNIBfP8q9huBDOCMqqpVN7oW9cLPP//M22+/rWV5PT09iYyMtPgEx9OnT/PJJ59w7Ngxs/3u7u7MnDmToUOH1log+rAtIYuKiti5cydr1qyp0IseoGPHjkyYMIGBAwc+0FwBg8HA8ePHtYD97Nmz9z2/ZcuWWobd39+/1jrwCCGEEKLuWboPvGTHH3O//PILc+bM0erPmzZtSmRkpEXLMO7cuUNkZCTbtm0zC5adnJyYOnUq48aNq7Ea+zLp6ekkJyeTnJzM8ePH+fnnnytMlh0yZAivv/66WUvIu3fvsmHDBv7xj3+QmZlp9pqKotCvXz8mTpxIt27d7vvUIDMzU7t/cnIyP//8M0VFRVWe7+TkREBAAL179yYwMPCRVl0VQgghxOOtLrrQiHrq6tWrzJo1i+zsbMBUSx0ZGUnz5s0t8voGg4HVq1ezbNkyswmqVlZWjB8/nunTp1u8RAdMK45euHDBLGC+du1aledXNln2/PnzrFmzhl27dpn1fgdTL/rhw4czfvx4vLy8Kr3/pUuXOH78uHb/eyfF3svKyoquXbtqWXZfX18pixFCCCEE8IgBvKIoZbPxUlVVLS23/ZtUVb1/BCNq1a1bt5g1a5bWNUWv17No0SJ8fHwe+bVVVeXHH39k/vz5FercQ0NDefvttx96Yuf95OTkcOLECS1YPnnyZIWONpXp2rUrs2fP1lpCGo1GDhw4wOrVq0lMTKxwvoeHB+PHj2fEiBE4Ojpq+/Py8jh58qQWsJ88eZLc3NzfvH+LFi20OnZ/f39ZBVUIIYQQlXrUDPxlQAV8gXPltn+LaoF7CwtJT0/njTfe4MaNG4BpRc758+fj6+v7yK999uxZPvnkE44ePWq238fHh3feeYfevXs/0uurqkpKSopZdruymvR72dra4uvrS7du3ejatStdu3bFxcUFMC3YtH37dtauXcuVK1cqXNu1a1cmTJhA//790el0XLt2jejoaI4fP86JEye4cOFChcWa7mVjY4Ovr692765du9K0adPq/UcQQgghxFPlUYPolZiC8ax7tsVj5I9//KNW0mFtbc3HH3/8yC0b09PTiYyMZMuWLWbBrLOzM6+//jqjRo2q0IbxQRQUFHDq1CktWE5OTiYrK+s3r3N1daVr165awN6uXbsKdfZpaWls2LCBjRs3amVEZXQ6Hc8++yxjxoxBp9ORnJzM7373O06cOFGh7WVlXFxc6N69uxasd+jQocbr/IUQQgjxZHqkAF5V1Yj7bYv6LykpiUOHDgGmIPXDDz8kKCio2q9nMBhYt24dX3/9dYU693HjxvHaa689cDtFVVW5efOmWe362bNntb70VdHpdLRv314L2Lt06YKHh0elk0oLCgpITExk9+7d/PDDD5SWlpodt7Ozo1u3bri6unLp0iVmzZpV4ZzK7t+2bVvt3t26daNZs2a11gpTCCGEEE82KWN5yi1dulT7fujQoQwYMKBar6OqKvv27ePvf/87qampZseCg4OZN28erVq1uu9rGAwGzp49y4kTJ7SSmNu3b//mvZ2cnLTMerdu3fD19b3vYlMpKSnExcURFxfHkSNHtEmpqqpSVFREfn4+VlZWODo6UlBQoH3Aud/9u3TpomXXO3XqJG0dhRBCCFFjJIB/ip06dUpbfEin0xEREVGt1zl37hyffvophw8fNtvfqlUr3nnnHfr06VPpdUajkbNnzxIXF8fBgwc5ffr0fVcYLePj42NWu+7t7X3f7LbBYODIkSNa0H716lXtWGFhIbm5ueTl5VFQUIC9vT0uLi44OjpW+ZqtW7fWMutdu3alZcuW0iFGCCGEELXmUbvQLP3tsyqlqqo67VHuLR7dsmXLtO8HDhz40J1g0tPTWbx4MZs3bzYra3FycmLmzJmMHj26wiJGeXl5JCQkEBsbS1xcnNb1pip6vZ7OnTtr5SidO3d+oBKcGzduaAF7YmIihYWFgOlDQ15eHrm5ueTm5lJSUoKdnR2Ojo64u7ubrbIKYG9vT+fOnbWAvUuXLg+1oqoQQgghhKU9agY+oor9KlBZ+rJsvwpIAF+HLl68yE8//aRtT5069YGvLS4uZv369Xz11Vfk5eVp+3U6HWPHjmXGjBnaqqWqqnLlyhXi4uKIjY0lKSnJbMGkezVv3tysM0ubNm0eKLtdUlLC8ePHtfuU70RjMBi0gD0/Px9FUdDr9TRt2hRHR0dsbGy0cz09PbV7d+vWjTZt2lRrsq0QQgghRE151AC+9T3bOuAzIARYAOwDbgIeQH9gDhADvPOI9xWPqHz2PTQ0lDZt2vzmNaqqsn//fj777DOzMhSAoKAg5s2bh4+PDwaDgQMHDmjB9L018eU5OzvTp08f+vbtS69evbRWjg/izp07HDhwgNjYWBISErQPE6qqkp+frwXtBoMBW1tbHB0dadKkCfb29tqHgoYNGxIUFKTd39XV9YHvL4QQQghRFx61C41Zk2xFUeZhCt797jl2FohWFGUFcAQYDvz9Ue4tqu/atWt8//332va0ab/9MOTChQt8+umnFSZ0tmzZknfeeYdnnnmGAwcOsGjRIg4dOqSVrFSmffv2BAcH07dvXzp37vzA9eNGo5GTJ09q5Tdnz57VjpWUlGgBe15eHqqqotfrady4MY6OjmYtG9u2bavdv0uXLpJhF0IIIcRjxdKTWGcAUfcG9mVUVb2kKErUr+dJAF9HVqxYodWsBwQE0KlTpyrPzczMZPHixWzatMmszt3R0ZFBgwah1+tZuHAhFy5cqPI19Ho9gYGBBAcHExwc/FBZ7szMTA4ePEhcXBwHDhww689eUFCgBe2FhYXY2Njg6OiIl5cXer1e+2DQoEEDAgIC6Nu3L8HBwbi7uz/w/YUQQggh6htLB/CtgMzfOCfz1/NEHUhLS2Pbtm3a9vTp0ys9r7i4mA0bNvDVV1+Rk5MDQGlpKfn5+Xh6elJSUsLGjRurvI+3tzd9+/alb9++dO/e/YEXLSrfmSYuLo6TJ09qC0GVlpaaTUAtLS1Fr9fj5OSEp6cntra2WucYLy8v7f7+/v6yaJIQQgghnhiWDuDvAIOAf6/soGKKrgYB9289ImrMypUrtUmk3bp1q7DiqqqqxMXF8emnn5KSkqK1WczNzUWn0+Hu7q4F9OXZ2Njg7++vZblbtGjxwGMyGAzs379fK41JT0/XjpW/f0FBAdbW1jg6OuLh4YGDg4NW/mJtbY2fn59WGvNbrSWFEEIIIR5Xlg7gNwBv/1om8wdVVS+VHVAUpTXwV6Arpomuopalp6fz3XffadvTpk0zC3IvXrzIRx99xE8//WTWZtHW1hY3N7cKvdHd3Ny0gL1Xr14PvXhRUVER3333HStXriQtLQ2ovM2jvb29FrTb2dlpY2jatKlWlhMYGIiDg8Oj/OcRQgghhHgsWDqA/y+gLzBqHcv9AAAgAElEQVQGGKkoSipwC3AHvAArIBH4k4XvKx7AmjVrKCoqAqBDhw4EBQUBkJWVxRtvvMHevXu1CaBgagvp5uaGi4sLiqKg0+no0qWLFrS3bdu2Wlnu/Px8Nm7cyKpVq0hPT6e4uJicnBytzaNOp8PR0VH70FCWZVcUhc6dO2v3b9eunSygJMQDUlXVrKVq2b+5sj8uLi706tXrvqsYCyGEqB8sGsCrqpqrKEpf4D1gCvAMULY60AVgGfCJqqq/vdymsKjs7GyioqK07alTp6IoCqqq0r9/f7OOLgCNGjXC1dWVJk2aaG0ee/furfV3r47c3FyioqJYvXo1N2/e1AKIoqIirKysaNy4Ma6urjRo0ED7YFC+zWNQUBCNGzeu9v2FeJyVdVoqH3jfG4Tf++fec++3BgOAra0tAQEBhIaGEhISIm1VhRCinrJ0Bp5fg/MPgQ8VRXEEnIEsVVVzLX0v8eCioqLIz88HoHXr1vTr1w+AzZs3mwXver2e3r1788ILLzx0m8eqZGdns2LFCpYuXUpaWho5OTmUlpYCptp1d3d3GjVqpN2nTZs22gRUafP4ZFNVlUuXLhEfH09u7tP7I0JVVbP5HpUF6WVPz2qSwWAgNjaW2NhYADp27EhoaCihoaHVfuImhBDC8iwewJf3a9D+9P5Wrify8/NZs2aNtj1lyhR0Oh0lJSV8+OGH2n5fX1+2b99usTaL58+f569//Ss7d+4kKytLK80B06TXJk2a4OzsTIMGDQgMDCQkJETaPD4FSktLOXbsGNHR0cTExHDt2rW6HtJTw9ramoYNG+Lo6Iijo6P2vb29PadPnzZbwRjg1KlTnDp1isWLF+Pu7k5YWBihoaH4+flJZychhKhDNRrAi/ph06ZNWv90T09PBg0aBMCWLVu4dMk0z1in0zFv3rxHCp5VVeX8+fNs376d1atXc+bMGbOgHUyP6Js0aUKrVq0IDQ0lLCyMgIAAqbt9wuXn53PgwAFiYmKIjY016+cvHkzZ3JB7/5QPyO/dvvdY+VarlUlNTSUmJoaYmBiOHj2qPSkDuHXrFlFRUURFRaHX6wkKCiIsLIzg4OBHKq0TQgjx8CwewCuK4gDMwtQu0guwq+Q0VVXVZyx9b1GRwWBg1apV2nZERARWVlbk5+ezYMECCgoKAHB1dWXo0KHVev2jR48SExPD7t27OX36NJmZmRUCdzs7Ozp37szYsWPp168fnTp1kgmoT7i0tDRiYmKIjo7m8OHDFBcXV3qeXq+nT58+tG7d+qku0bCzs6sy8C7Lktf0fx8vLy9efvllXn75ZXJycjh48CDR0dHExcWZlTjl5+ezd+9e9u7di06no1u3btoHcm9v7/vcQQghhCVYNIBXFKUREAt0BLIBJyALsAXKUqzXgcp/kwuL27p1K3fvmtrulw/Sv/32W1JSUgDTY/XBgwc/cBYtKyuLuLg4oqOjOXjwIJmZmdy9e7dCmQyYMv7jxo3j9ddff6je8OLxU/YEJjo6mujoaM6cOVPluW5ublo5hiy0VT81bNiQ559/nueff56SkhKOHTumfSBLTU3VzjMajSQlJZGUlMT8+fPx9vbW/t927dpV5rAIIUQNsHQG/o+YgvdpwHKgFFPP9/8GAoFFQB6m7LyoYSUlJaxYsULbfvXVV7G1teXOnTusWrVKK2Nwc3Nj8ODB932tlJQUoqOj2b9/P8eOHcNoNGIwGLhz5w5ZWVnaeWWP+Tt16sR7773HoEGDnuqs6pOuuLiYo0ePavXsN2/erPLcdu3a0a9fP0JDQ2nfvr38vXiMWFtb07NnT3r27Mm8efO4dOmSVmpz4sQJsw/uKSkprFq1ilWrVuHk5ETfvn0JCwsjKCjoodeKEEIIUTlLB/DhQIyqqssA7Re0avrpHq8oyhDgBPAfwH9a+N7iHrt27eLGjRuAqS3kyJEjAfjyyy/JysqisLAQOzs7mjRponWlKVNaWkpycjL79+8nOjqaK1euaMeKioq4c+eO9gHAxsaGhg0b0rBhQwIDA5kxYwa9e/eWAO0JlZOTQ1xcHDExMcTFxZGXl1fpedbW1vj7+2vZWA8Pj1oeqagJiqLg4+ODj48PERERpKenExsbS0xMDPHx8RQWFmrnZmdns2PHDnbs2KGt1lzW1Ub+PgghRPVZOoBvAfyz3LaRcjXwqqqmKYqyExiPBPA1ymg0snTpUm17woQJ2Nvbc/nyZTZv3kxOTg4A7u7uBAYG4uTkRH5+PgcPHtQmGpbPrAMUFhZy584dcnJysLe31xZasrOzo2fPnkyfPh1/f38J3J9A169f17Ls905uLK9hw4YEBwcTGhpKnz59cHR0rOWRitrm4uJCeHg44eHhFBUVcfjwYe1p3e3bt7XziouLiY+PJz4+no8++oh27dppwXyHDh1kTowQQjwESwfw+ZjKZspkAfemWW5hmtwqatDevXu1GndHR0fGjRsHwKJFizAajWRnZ+Pg4ICDgwMdO3Zk7ty5JCYmVjrRsKCggMzMTEpLS3F0dMTDwwNra9NfnaCgIKZPn063bt1q782JGmc0Gjlz5gz79u0jJiaGCxcuVHmup6enlmXv0aOH9ndDPH3s7OwIDg4mODgYVVU5c+aMVjd/7tw5s3PPnTvHuXPn+Prrr2natCnBwcH06tULf39/WUBKCCF+g6V/017FlIUvcwoIVRTFSlXVssC+L1B1oax4ZKqqsmzZMm173LhxODo6cuzYMfbt24fBYKCwsJDWrVtjY2PDrl27uHr1aoXXsbW1xWg0UlpaioeHh1lmPTQ0lGnTptGpU6daeU+i5hkMBhITE7VM+507d6o8t2PHjlo9+zPPPCNPXUQFiqLg6+uLr68vM2fO5ObNm+zfv5+YmJgKXYnu3LnDli1b2LJlCwDe3t5azb2/vz9NmjSpq7chhBD1kqUD+GhgnKIoyq917+uBBcB2RVG2Af2A3sAXFr6vKCc2NlbLdjVo0IAJEyagqirz588HTHWpZQsoderUiWPHjmnXtm3blpYtW3Lx4kVtUZfyZRADBgxg+vTptGvXrhbfkbCkgoICbty4wfXr17l+/To3btzg8uXLHD58WGsrei9bW1t69epFWFgYISEhkiEVD83Dw4OxY8cyduxY8vPziY+PJzo6utJyvZSUFFJSUti0aRNgWj3a399fC+gbN25cF29BCCHqDUsH8CswtYxsjikbvxgYAIwAnv/1nDhM3WpEDVBV1az2fdSoUTRq1Igff/yREydOAJCbm4uXl6mKqax1pKqqtGvXDnt7e/bs2WP2mjqdjueee45p06bh4+NTS+9EVFdRUZFZgF4WpKempnLjxg0yMjIe6HWcnZ0JCQkhLCyMwMBA6SAiLEav1zNgwAAGDBiA0WjkxIkTHDp0iMOHD3PixAkMBoPZ+ZcuXeLSpUv84x//AMDHx0fL0Pv5+dGoUaO6eBtCCFFnlHv7dtfITRTFH2gDXAYSVVU11vhNq0FRlCN+fn5+R44cqeuhVFtiYiJvvPEGYOoOs3XrVho3bszYsWO5evUqBoOBjIwM3N3dsbW1pW3bthw9epTr16/j4uJi1gtep9Px4osvMmXKFFmcpR4xGAzcvHmz0uD8+vXrWt//6ijfw7tbt24ysVDUOoPBwIkTJzh8+DBHjhzhxIkTVS4CVqZt27Zadt7Pzw8nJ6daGq0QQlSfv78/R48ePaqqqv/DXlsrs81UVT0CaFGxoiiuqqrevs8loprKZ9+HDRuGq6srUVFRWo27wWCgadOmgOkvTnx8PNeuXcNgMODg4ACY2v+Fh4cTERGBp6dn7b+Jp1xJSYkWoN8bnF+/ft2ss0d1WFtb4+Hhgaenp/anWbNm+Pr60qpVK8u8CSGqydbWFn9/f/z9Tb/PCgsLtYD+8OHD/Pzzz5SUlJhdc/78ec6fP8/atWtRFEUL6Hv27EmPHj1o2LBhXbwVIYSoMbXaLkJRFGfgD8BsTKu0Cgs6ceIEiYmJgCl7HhERQV5eHl999ZV2TqNGjbRffq6urmRlZWEwGLC3t8fe3p6RI0cyefJk3N3d6+Q9PE3y8vI4e/YsZ86c4fz581y7dk0L0I3G6j+k0ul0ZgF6s2bN8PLyolmzZnh6euLq6iqZdfHYaNCgAb169aJXr16AaQ5HcnKylqH/+eefzdqaqqqqdbhZs2YNOp2O9u3baxn6Hj16aMkKIYR4XFksgFcUpSXgDxQDh1RVvVXuWANgHvAe0BhTu0lhYeWz74MHD8bT05MvvvhCq3l2cnIiKysLRVGwtbUlIyOD9PR0wNS/+9VXX2XWrFl1MvYnXUZGhhasl32trPPPg9DpdLi5uVUanHt6euLm5ibL14snlr29PYGBgQQGBgKQn5/PsWPHOHLkCIcPH+b06dNmH4CNRiOnT5/m9OnTrFq1Cp1OR4cOHbQMfffu3WV+hxDisWORAF5RlAXALKCsl5xBUZR3VVWNVBSlH6bJrc2BImA+8L+WuK/4l3PnzrF//37A1L5typQp3L59m2+//VY7p3Pnzhw4cAAw9W/ft2+f1nWkUaNGjB07tvYH/oRRVZW0tDQtSC/7k5aW9sCvoSgKrq6ulQbnZQG6jY1NDb4LIR4fer2ePn360KdPH8D0ZOvYsWNahv7MmTMVAvpTp05x6tQpVq5ciU6no1OnTnTp0oXmzZvj6emJl5cXnp6e2NnZVXVbIYSoU48cwCuKMhlTSYwROI0piG8PLFAUJQ9YAlj9+vUDVVWvP+o9RUXl+74PGDCA1q1b88EHH1BUVARAu3btuHHjhnaOt7c316+b/lfY2Nho9fLiwRmNRq5du2YWrJ89e5bMzMwHut7KygofHx86dOhA+/btad26Nc2aNcPDwwNbW9saHr0QTyYHBwdtMSmAnJwckpKStAz9uXPnKN+8oawLTlmXrvKaNGmiBfNeXl7a956enri7u8uTLiFEnbFEBj4CMAD9VVU9CKAoSiiwG/gGuAYMU1W14k9HYRFXrlwxa/04depULl68yNatW7V9Y8eO5X/+538AU03p9evXyc7OBkzlM6+88krtDvoxU1payqVLlyoE6/n5D1YNVtbxp0OHDlrA3qZNGwnUhahhDRs2JDQ0lNDQUMC0DkZSUpKWob93hdjy7t69y927d0lOTq5wzMrKCg8PD7OgviyD7+npSePGjWWBMyFEjbFEAN8V+K4seAdQVTVGUZTNwBhgqgTvNWvZsmVaRik4OJj27dszb9487bFxUFCQWQlH3759zYL7gIAAWZipHIPBwIULF8xKYC5cuFChN3VVHBwcaN++vVmw3qpVK8nWCVEPODk5ERYWRlhYGABZWVkcPXqUS5cukZqayvXr10lNTeXmzZv3nUxeWlpKamoqqamplR63t7enWbNmZkF9+Wy+1N0LIR6FJQJ4Z+BCJfvP//r1YCXHLEZRlFeBlb9uvqaq6tc1eb/65vr16+zYsUPbnjZtGkeOHDGrh589ezb/8R//oZ3j4+OjTaDU6XTMmTOndgddz9y9e5e9e/dy6tQpzpw5w8WLFx+4C0zjxo21IL3sq5eXl3R5EeIx4ezsTP/+/enfv7/Z/tLSUm7dumUW1Je1cr127ZrWAKAqBQUFZita36tRo0ZmQb2Pjw+9evXCzc3NYu9NCPHkskQAr8PUeeZexQCqqla+NrsFKIrSAlgI5AKONXWf+mzlypVasOnv70/nzp2JiIjQjg8ZMgSdTsfly5cBU1YoISFBu8bT01N7tPw0MRqNHD58mI0bN7Jv3z6zNnRVcXd3NwvWO3TogKurqzwmF+IJZGVlpWXOK1NYWGi22nFZG9iyYD8vL+++r5+ZmUlmZianTp0y29+qVSsCAgLo3bs3fn5+ODo+lb/ahBC/wVJtJGt+Odd7KKaoaRlwF9iEqUXlU+XOnTtmpTDTpk1jz5492i8EW1tb3njjDTZt2qSdExISwqpVq7TtcePGPVXZ4szMTLZt28amTZvu28bR29vbrASmffv2sly7EELToEEDfHx88PHxqXBMVVVycnIqBPVlX2/cuFHl6rKXL1/m8uXLREVFodPp6Ny5M4GBgQQEBNC5c2fpQCWEACwXwP9JUZQ/VXZAUZTKUpuqqqqPeu+5wACg369fnzrffvutVpfdqVMnunfvbtYKcvz48bi7u5tNcLW3t9ce/VpZWT0V5TOqqpKUlMSmTZvYu3dvpb84e/ToQf/+/fH19aVdu3ay0IsQotoURcHJyYmOHTvSsWPHCseNRiN37tzRgvpr166RnJxMUlKS2Vwbo9FIcnIyycnJfPXVV9jb2+Pv769l6Fu3bi1PAIV4SlkqgH/YnyCP9BNHURRf4P+A+b9OmH3qAvisrCw2btyobU+bNo1NmzZpE6qcnJyYMmUK58+fJyUlBTD1S/7pp5+0a7p16/ZE11tmZ2ezY8cONm7cyKVLlyocd3R0ZOjQoYwaNarSLJoQQtSEssXY3Nzc6NGjh7a/qKiI48ePk5CQwKFDhzhz5oxZy8uCggJiY2OJjY0FTG0uyxa1kvp5IZ4ujxzAq6paq/UXiqJYA6uAFOD/VfM1jlRxqEN1x1Xb1q5dqy3C1KZNG7p3786f//xn7fj06dNp2LAhK1as0PZ17NiR7777DjBliJ7E1pGqqnLy5Ek2bdrE999/X2nnmM6dOzN69Giee+45GjRoUAejFEKIiuzs7AgICCAgIAAwlfwdPnyYQ4cOER8fr63dUebu3bvs2LFDa2Tg4+OjXd+zZ0/pdCPEE8xSGfja9F9AD6BvTU6Qrc/y8vJYv369tj116lRWrVpFVlYWYJqYOmbMGFRVZffu3dp5WVlZ2sQqJycnhg4dWrsDr0H5+fns3LmTjRs3VtrXWa/X88ILLzB69GhpmSmEeCw0atSIgQMHMnDgQABSU1NJSEggISGBxMREbS2PMmVdb9atW4eVlZVWPx8YGEinTp2wtn4cf+ULISrzWP1rVhQlAFPW/ZPyfecflqqq/lW8/hHAr7qvW1s2bNhATk4OYJps2bVrV/70pz9px998801sbW05ffq0VlJjY2NDUlKS9ji2W7dueHl51frYLe3s2bNs3LiRnTt3ak8kymvXrh1jxoxh8ODBko0SQjzWvLy8GDVqFKNGjcJoNHLmzBkOHTpEQkICx44dM5vfU1payvHjxzl+/Dhffvkler2enj17ahl6qZ8X4vH22ATw5UpnzgH/WcfDqTOFhYWsXr1a246IiODLL7/USkV8fX157rnnAMyy787Ozma18C+++GItjtqyCgoK2L17N//4xz8qtGAD02PoQYMGMXr0aDp27Ci/pIQQTxydTqdNko2IiKCwsFCrn09ISODs2bNm5+fn5xMTE0NMTAwArq6uBAQEaB1umjZtWhdvQwhRTY9NAI+pz3tZ7UNhFUHZV4qifIVpcuvbtTayWrR582YyMjIA8PDwoF27dvz3f/+3dvytt95Cp9OZlc8YjUZu3bqlZe1dXFwey97vv/zyCxs3bmT79u2V9lj28fFh9OjRDBkyhIYNG9bBCIUQom40aNBAK5cByMjIIDExUcvQ37hxw+z827dvs337drZv3w6Ynla+8sorDBo0SFaNFuIx8DgF8EXAN1Uc88NUFx8LnKWGV3+tKwaDgZUrV2rbkyZNIjIyUiuLCQ4OpmfPngCcOnVK+4FdVFSEqqqUlpZia2uLt7c3nTt3rv03UA0Gg4E9e/awceNGjh8/XuG4ra0tzz77LKNHj6Zbt26SbRdCCEyrRD///PM8//zzqKrKtWvXtO42iYmJWkKnzLlz5/iv//ovvv76a6ZNm8bgwYMlkBeiHntsAvhfJ6xOr+zYrz3oewArVFX9ujbHVZu2b99OWloaYMqie3p6cuDAAcD0OHXu3LnauWXZ97LAPT8/X7suJCSk3i/elJKSwsaNG9m2bVuFiVpgqv0fNWoUQ4cOlQWWhBDiPhRFoUWLFrRo0YIxY8ZgNBo5ffq0Vm5z/PhxSkpKANPP3vfff5+vv/6aqVOnMmTIEAnkhaiHHpsA/mlXWlrK8uXLte0JEyawePFibXvo0KE888wzgKlkpiyAz83NRVEUcnNzsbKywtnZud6WzxQXF7Nv3z42bdpEYmJiheNWVlb079+f0aNH07NnT8m2CyFENeh0Ojp16kSnTp2YOnUqOTk5rF27lrVr12qZ+atXr/LnP/9Zy8gPGTJEutgIUY/Iv8bHxA8//GC2SFOjRo04c+YMYCojef3117VzT548ya1btwDIycmhadOmFBUV0aRJE61Osj5JT09n7dq1bNmyRVsltjxPT09GjhxJeHg4TZo0qYMRCiHEk6thw4bMmDGDCRMmsG7dOtasWaM9+UxNTeUvf/mLlpF/8cUXsbGxqeMRCyGeiABeVdU/AX+q42HUGKPRyLJly7TtMWPG8M03/5oOMHHiRLMV+Pbs2QOYurWUZd/BVBPZq1cv7O3ta2nk91dcXMz69ev56quvKkxK1el0hISEMHr0aHr37l3vS36EEOJx5+joyPTp03n55ZdZv3493377rRbIX79+nQ8++IBvvvmGKVOmMGzYMAnkhahDT0QA/6SLjo7m4sWLgKkFpI2NjTZB1dnZmcmTJ2vnGo1GLYBPT0+nUaNG3L17F2dnZ2xsbAgLC6v9N1CJAwcO8Mknn3DlyhWz/W5ubowYMYIRI0bIsuBCCFEHHBwcmDp1KuPHj9cC+bKFAm/cuMGHH36oBfLh4eHY2trW8YiFePpIAF/PqarK0qVLte2hQ4eydu1abfu1117D0dFR205OTiYtLY3i4mLy8/Px8PAgLy+P1q1bA9C3b9/aG3wlrl69yqeffsr+/fvN9rdq1Yo333yT0NBQmTAlhBD1gF6vZ8qUKbz00kts2LCBVatWkZmZCcCtW7f4v//7P5YuXUpERAQjRoyQQF6IWiR1CfVcfHw8p0+fBky17qWlpdojTS8vL0aPHm12ftnk1YyMDBwdHcnLy0Ov19OgQQN8fX3rLKudn5/PwoULGTdunFnw7uDgwDvvvMO6devo37+/BO9CCFHP6PV6Jk+ezNatW5k7dy6NGzfWjqWlpfHRRx8xYsQI1q9fry0qKISoWZKBr+fKZ98HDhzItm3btO3Zs2eb1SAajUb27t2L0WgkIyOD5s2bk5mZiYuLC0CV3We+//57/v73v1foC2wJqqqSkZHBjRs3zJb5VhQFFxcXrKysiIyMJDIy0uL3flh6vR5nZ2ecnZ1xcnKq8H1l++zt7aUbjhDiqaDX65k0aRJjx45l48aNrFy5Ums8kJaWxt/+9jeWLVvG5MmTGTVqFHZ2dnU8YiGeXBLA12NJSUkkJSUBYG1tTV5enpbd6NixIwMHDjQ7/9ixY9y5c4fMzEwURUGv13Pnzh2txKayAN5oNPK3v/1NeyxqSQUFBdy6dYuCggKz/fb29ri7u2Nvb09paSmlpaUWv3d1FBYWVtoF536sra21rkBOTk4P/L0E/kKIx5W9vT2vvPIKY8aMYdOmTaxYsYK7d+8CcOfOHT755BOWL1+uBfINGjSo4xEL8eSRAL4eK599DwwMJCYmRtt+++23KwSAu3fvRlVV0tPTcXJyoqCgACcnJxRFwc3NjXbt2lW4x8mTJy0evJeUlJCWlqZNeipjbW2Nm5ubNqYnQUlJCenp6Q8d+NvY2FSa0b/3+3v/SEZLCFFfNGjQgAkTJjB69GgtkL9z5w4Ad+/e5dNPP2X58uVMmjSJ0aNH15sOaEI8CSSAr6dOnTrFwYMHAVNLxczMTFRVBUyZdD8/P7Pzy8pncnNzKS4uxsnJieLiYpydnbVrKgua4+LitO9ffPFF/u3f/q3aYy4uLmbjxo0sXboUnU6Hh4cHYApWX3rpJSZPnoxer6/269ckVVXJy8sjKyuL7Oxss6/3+76oqKha9ysuLubu3bta1upB2draapn88oH9/YJ+JycnafcmhKgxdnZ2vPzyy4wePZrNmzezfPlybdXw9PR0/v73v7NixQpeffVVxo4dK4G8EBYgAXw9VT773rFjR06ePAmYgvnZs2dXOP/IkSNaJtja2hq9Xo/BYND6p1dV/x4bG6t9HxYWVu0frPe2hSx/33nz5tGiRYtqvW5t0uv1uLq6PtQ1RUVFWlCfnZ1NZmbmA31f3YleBoOBtLQ07Zfjg9Lr9b8Z9Lu7u9OyZUtcXV2fmCckQojaY2try7hx4xgxYgRbtmxh2bJl2s+qjIwMFixYwMqVK7VAvr4mdIR4HEgAXw/98ssv7Nu3T9sun6UdPnw4Pj4+Fa7ZvXs3BQUF5Ofn07hxY0pKSrQgTK/X07NnzwrX3L59m7NnzwJgZWVVrRVar169ymeffWZW3gPQsmVL3n33Xfr06fPQr/k4sbOzw83N7aG7+5QF/vfL7lf2p6SkpFrjzM/PJz8/n5s3b/7muQ0aNMDb25sWLVrQsmVLvL298fb2pmXLltoTHSGEqIqtrS1jx45l+PDhbNu2jaVLl2qrg2dmZrJw4UJWrlzJxIkTeemll3BwcKjjEQvx+JEAvh4qv+qqt7c3KSkpgCmwmjFjRoXzS0tL+fHHH7U6bCcnJ7y9vbl+/ToAvXv3rrQ/74EDB7Tve/To8VA/RPPz81m6dCmrV6826y7j4ODAjBkzGDdunJRt3Ed1An9VVSkoKKgQ5N8v6C87ZjQaH/g+hYWFnDt3jnPnzlU4VvZ3qyygLwvyW7RoIdk0IYQZW1tbRo8eTXh4ONu2bWPZsmXaIoRZWVlERkby7bffMnHiRMaPHy+BvBAPQQL4eubq1av88MMPgClgK5sQBDBx4sRKSzyOHDnC7du3yc7O1spnygfPD1I+86ALPKmqys6dO1mwYIHZ2BRFYdiwYcyePVtrWyksq6yzkF6v1+YXPAij0Uh+fn6lgX1ZaU9mZiapqalcuXJFW2egMtnZ2Zw8eVIr6SrP1dXVLGtfFnDpcpIAACAASURBVNh7eXnJAi9CPMVsbGwYNWoUw4YNY/v27SxdulRLMGVnZ/PFF1+watUqhgwZwrBhw+jQoYOU8QnxGySAr2dWrFihZUsbN26sdYhp3LgxkyZNqvSaH374gYyMDMCUIe3UqROnTp0CTEFfcHBwhWuKi4tJSEjQtis7516nTp3i448/Jjk52Wx/ly5d+N3vfkfHjh0f4B2K2qbT6XB0dMTR0REvL6/fPD8rK4uUlBRSUlK4cuWK9n1KSgqFhYVVXnf79m1u377N0aNHK9y/WbNmZhn7siy+h4eHNl9CCPFks7GxYcSIEQwdOpQdO3bwzTffkJqaCkBubi5RUVFERUXRtm1bhg0bxgsvvGC2aJQQ4l8kgK9Hbt26xT//+U/AVBaTkZGhZSFee+21Sh8vlpSUsHv3brMAvkOHDvz8888AdO3atdIfgElJSeTn5wPg6elJq1atqhxXeno6n3/+OVu3btU64QA0bdqUuXPnMnjwYAnCniDOzs506dKFLl26mO1XVZXbt2+bBfRlQX5qamqV9flGo5HU1FTtF3V5tra2NG/eHG9vbzp27EhISAht2rSR7JsQTzBra2vCw8MZMmQIO3fuZNmyZVqpKMD58+f59NNPWbBgAaGhoYSHhxMUFCQrdQtRjgTw9ciqVau0IMjOzk6rLff29mbUqFGVXpOYmMjVq1cxGo1YW1vTtm1bs57kYWFhlV53b/lMZQFTSUkJUVFRLFmyhLy8PG2/jY0NEyZMYNq0aVL3/BQpW0/Azc2twqTo0tJSbty4USGwT0lJ4ebNm2Yf/MozGAxcvHiRixcvsm/fPiIjI/H09CQ0NJSwsDB69OiBtbX8mBLiSWRtbc2wYcN48cUXOXr0KFu3bmXv3r1ae96SkhJ+/PFHfvzxR5o2bcqLL75IeHg4LVu2rOORC1H35DdjPZGens53330HmMpbCgsLtdXrZs+eXWUQ8/3335tNXh03bhxffPGFdjwkJKTS68r3f6+s/j0+Pp6PP/6Yy5cvm+0PCQlh3rx5eHt7P/ibE088KysrmjdvTvPmzSt0HjIYDFy7dq1COc6VK1cqXQDr+vXrrFu3jnXr1tGwYUOCg4MJDQ0lODhYJrkJ8QTS6XT07NmTnj178vvf/57du3ezbds2s3LNO3fusGLFClasWEHXrl0JDw/nueeek58J4qklAXw9sWbNGi3rYDQatRU3u3TpQv/+/Su9pri4mC1btmiZ+mbNmuHh4UFBQQEALVq0qLQ0piyYAlOm39/f3+zYp59++tS2hRSWZ2tri4+PT6XtT/Py8khJSeGXX37hwIEDxMXFmT3tycnJYdeuXezatQtra2v8/f0JCwsjNDT0oSbyCiEeD46OjowcOZKRI0dy6dIltm3bxvbt283aKScnJ5OcnMzHH3/Ms88+S3h4OD169JBSTvFUkQC+HsjOziYqKgowtfAzGAxaAP/WW29VWQ986NAhrl27BpjKWl555RUOHTqkHX+Q1Vd79eqFnZ0d+fn5LFu2jG+//dasLaRer2fGjBm89NJL0hZSWJyDgwO+vr74+voydOhQiouLOXr0KNHR0URHR2u9o8H0OD0hIYGEhAQ++ugj2rdvT1hYGGFhYbRr107q5oV4wrRu3Zq5c+fy5ptvcuDAAbZu3UpMTAylpaWA6ffl9u3b2b59O15eXgwbNoyhQ4fKh3vxVFCqqk19GimKcsTPz8/vyJEjtXrfr7/+msWLFwOm1eoaNWqEoij069ePjz/+uMrr3nzzTZYvXw6YWvglJCQwZcoUbeW7JUuWmGXXy8yZM4eDBw8C8Ic//AFHR0cWLFjA7du3zc4LDw+XtpCizqiqyrlz57RgvmzRscq4u7trmXl/f3/5sCnEEyojI4OdO3eydetWLly4UOG4oigEBAQwfPhw+vXrJy1sRb3m7+/P0aNHj6qqWjFY+w0SwJdTFwF8fn4+Q4cOJTs7m9zcXEpLS3F2dkan0xEVFVVldxiDwUDbtm21XuyTJk3i7bffZuLEiYCpHv6HH36oUDtfUFDAs88+i8FgAOCTTz7h3XffNTtH2kKK+ujWrVtER0cTExPD4cOHq+x6o9frCQ4OJiwsjD59+uDk5FTLIxVC1DRVVTl9+jTbtm1j165d5OTkVDinYcOGDB48mGHDhuHr6ytP6US98ygBvJTQ1LHr16/j7OxMdnY2OTk52qO/kSNH3re1486dO7Xg3cbGhjlz5hAdHa0d79OnT6UTXxMTE7Xg3cfHh7CwMAYOHMiePXto0qQJc+fO5YUXXpBaQlHvuLu7M27cOMaNG0dubi4HDx4kOjqauLg4s1/e+fn57N69m927d2NlZYWfn5/W1cbT07MO34EQwlIURaFjx4507NiRefPmsW/fPrZu3UpCQoLW9SonJ4cNGzawYcMG2rRpQ3h4uPSWF08MycCXU1clNKWlpXzwwQesWbOGhg0bYm9vz+bNm2nSpEmV1wwePJj9+/cD0L17d+Li4nj11Vc5ffo0AB9++CHPP/98hes+/PBDNm3aBJiy9nPnzuXmzZv84x//YOrUqdIWUjx2SkpKSEpKIiYmhujoaG2Fx8q0adNGq5vv0KGDfFAV4glz8+ZNtm/fztatWytde8LKyorQ0FCGDRtGcHCw9JYXdUpKaCykrgL4oqIiRo4cqdWuz5gxgxkzZlR5fmZmJq1atdImmy5evJhBgwYxZMgQwPQDau/evTg6Oppdp6oqQ4cO1SYGfvnll/j5+dXEWxKiTqiqyi+//KLVzZetSFwZV1dXQkJC6NevHz179pRaWSGeIEajkWPHjrFlyxb27t1b6SrSTZo00XrL3++JtxA1RQJ4C6mrAH758uUsWrQIABcXFzZv3nzfTPj777+vTW51dnbm6tWrbNmyhQ8//BCAgIAAIiMjK1x34cIFxo8fD5hade3Zs0cWyRFPtLS0NGJjY4mOjjYrH7uXvb09QUFBPPvss/Tt21d6SwvxBMnLy2PPnj1s2bLFrLd8eV27duX1118nICCglkcnnmZSA/8Yy8zMZNmyZdr2zJkz7xu8G41G1q1bp22/8MILWFlZmdW/h4aGVnpt+dVXg4KCJHgXTzw3NzdGjRrFqFGjyM/PJz4+nujoaPbv3092drZ2XkFBgbbio42NDb1792bAgAGEhYXJJFghHnMODg4MHz6c4cOHc+XKFbZu3cr27du1eWRg6i0/a9Ys+vfvz7x582S+jKj3JIKrY+np6Xh5eXHu3DlatmzJ8OHD73v+3r17tRpfnU7HW2+9RUFBAYmJido5VQXw5fu/BwcHW2D0Qjw+9Ho9AwYMYMCAAZSWlnL8+HGtbv7q1avaecXFxezfv5/9+/djZWVFz549efbZZ+nXr5+0VBXiMdeyZUvmzJnDrFmziI+PZ8uWLcTExGhdrX766Sfi4uJ45ZVXiIiIkHlhot6SEppy6qqExmg0smvXLho3bkxQUNB9zx06dCg//fQTAG3btiUpKYno6Gjee+89AJ555hnWr19f4brs7GwGDhyI0WhEURS+//57CUaEwFQ3f+nSJS0Df+7cuUrPUxSFHj16aB8C3NzcanmkQoiacPv2bRYuXMiOHTvM9ru6ujJ37lwGDx4sLShFjXiUEhppwVAP6HQ6hgwZ8pvB++nTpyn/4WLixIkoikJMTIy2LywsrNJr4+PjMRqNAHTs2FGCdyF+pSgKPj4+TJ8+nTVr1rB582bmzp1Lp06dzM5TVZWjR4/y8ccfM2TIECIiIli5cmWlnS6EEI8PV1dX/vKXv7Bs2TKz9U9u377Nf/7nfzJt2rT7TogXoi5IAP8YWbFihdbv2snJidGjR2M0GrV2kgAhISGVXlu+/l3KZ4SoWvPmzZk0aRIrVqxg+/btvPfee/j5+VXIwJ08eZIFCxYwfPhwJkyYwDfffMOlS5fqaNRCiEfVpUsXli9fzvvvv2+W5EpOTmby5Mn85S9/IT09vQ5HKMS/SAlNOXVVQvMg0tLSCA0N1Wp1Q0JC2LVrF8nJyUydOhUwdbDZtWtXhd7WRqOR559/nszMTABWrlwpq6wK8ZDS09PZt28fe/fuJTExUXuida9WrVoxYMAAnn32Wdq1ayeP3oV4DOXl5fHNN9+wZs0as1Wf9Xo9r732GuPHj8fGxqYORyieBFJC8xSIiorSAnC9Xs/o0aMBzMpnQkJCKl2Y5tSpU9q1Li4udOjQoRZGLMSTxcXFhVGjRvH555+zZ88e3n//fUJCQir8Er98+TJLly5l4sSJjBgxgvnz53PixIkqA34hRP3j4ODA3LlziYqKMmsMkZ+fz/z583nppZfMnmwLUdukC81joKCggA0bNpCbmwuYAomBAwcC5gH8g7SPDA4OltUnhXhETk5ODBs2jGHDhpGXl0dsbCx79+7lwIEDZgvGpKamsmrVKlatWoWbmxv9+/fn2WefpXv37vLvUIjHgLe3N59++ikHDx7kk08+4fLlywCkpKTw9ttv06dPH959911atmxZtwMVTx0J4B8D//znP7lx4waqqmJjY0P37t1p3bo1165d4+LFiwDY2tpWuQBF+QC+b9++tTJmIZ4WDg4ODBo0iEGDBlFYWMiBAwf48ccfiYmJIT8/XzsvLS2N9evXs379elxcXOjXrx8DBgygZ8+esiaDEPVcUFAQ69b9f/buPDzGs3vg+PeZSCKWkJAgVUoj2thCaq3l1SXtS9Ci1E4oSYugBBHZSBClttqaxFpL7YTalRZFaal9F7UkSAjZk3l+f8yb+5ch9omZiftzXS55nkxmzoRMzpzn3Odexs8//8zcuXNFQW3fvn0cOHCAL7/8kq+++uqRHdAlKb/I3xomTqvVsmTJErHpjL29PZ988gmgX32vV68eNjY2j3z97du3OX36NAAWFhbUr1//FUQtSa+nwoULizGTGRkZHDx4kJ07d/Lrr7/qbRyVkJDA6tWrWb16Nba2tjRt2pSWLVtSt25dI0YvSdKTFCpUiM6dO/Ppp58ya9Ys1q5di6qqZGdn89NPP/HLL7/wzTff0KpVK3mFTcp38n+Yifv999+5cuUKDx48QKPRULJkSdE+k3v6zOPaZ/bt2yc+dnNzk9UBSXpFrKysaNy4MYGBgWzbto2ZM2fSvn17SpUqpXe7pKQkYmJi8PHxITQ0VK9qL0mS6bG3t2fUqFEsXrwYNzc3cT4hIYExY8bQo0cPjh49asQIpdeBTOBN3OLFi7l//z6qqmJnZ8c777xDhQoVuH//PkeOHBG3e5bxkbJ9RpKMw8LCgnr16jFixAh++eUXIiMj6dy5M2XKlNG73fr16+nSpYucOS1JZqBq1ar8+OOPhIeH6/0snzp1it69exMQEEB8fLwRI5QKMtlCY8JOnz7NkSNHxKV3Ozs7PDw8ANi/fz/Z2dmAbmMmBweHR74+MzOTP/74Qxw/bv77yZMnWbBgAcnJyYZ+Cs9MURQqVapEvXr1qFOnjty+WiqwNBoNbm5uuLm5MXjwYE6dOsXixYvZunUrAFevXqVXr174+PjQvXt3eSlekkyYoih4eHjQtGlTFixYwIIFC8jIyABg8+bN/Prrr/Tq1YuuXbtibW1t5GilgkQm8CZsyZIlaLVakpOTsbW1xdLSUrTP7N69W9zuce0zf//9t7gc7+TkRKVKlR65TUZGBkOHDjWJKsH+/ftZsmQJGo2G6tWrU7duXerVq0eNGjWwsrIydniSZHCKouDq6kp4eDiNGzdm/PjxpKSkkJ2dzYwZM9i/fz9jxozB0dHR2KFKkvQEhQsXpl+/frRu3ZqpU6eyfft2ANLS0pg1axbr1q1j0KBBNG/eXO4NIRmELO2YqPj4eLZs2SLaZ+zt7Xn33XcpX748WVlZ7N27V9z2cQl87tu8//77eb5orF271iSS99y0Wi3Hjh0jKiqKfv360bx5c7755hvmz5/PyZMn5TxtqUBq0aIFS5cupUaNGuLc4cOH+fLLL9m5c6cRI5Mk6VmVK1eO8ePHM2fOHKpUqSLOX79+HT8/P3x8fDh//rwRI5QKClmBN1ErVqwgOzubpKQkbGxssLGx4eOPPwZ0lfWcEVZlypTRe5HI7Wn97xkZGcybN08cd+vW7bGjKF9EVlYWSUlJJCUlcf/+ffHxw8c5HyuKQmZmJqmpqVhbW2NtbY2VlRXp6ekcOHCAAwcOAFC8eHHc3d2pW7cudevWpVKlSrKiIRUIb7zxBj/++CORkZFER0ej1WpJSkrCz8+Pzz77jG+//TbPaVOSJJkWd3d3Fi9ezNq1a5k5cyb37t0D4M8//6Rz5860a9cOb29vSpQoYeRIJXNldgm8oigTgPcAF6A0kApcAdYCM1RVvWPE8AwiNTWVVatWkZ2dTXJyMm+88QZAnps3NWvWLM/k9dq1a2LDCSsrK957771HbrNmzRpu3boFQOnSpfH29n5ij56qqty/f5/ExEQSEhJITEzkzp074vjhc/fv33/m51y4cGEArK2tsbGxISUlhcTERFJTU1FVlcKFC4ukPjMzk127dvHrr7+K2HOS+bp161KuXLlnflxJMjWFChXC29ub+vXrM3r0aG7evAnorpYdOXKEsLAw3n33XSNHKUnS01hYWNCuXTs+/vhj5syZw4oVK9BqtWi1WlasWMGWLVvw9vamXbt2WFhYGDtcycyYXQIPDAaOANuAeKAo0AAIBvoqitJAVdWrxgvv5cXExIjKdKFChShWrBjVqlXDyckJVVX1+t8fN30md/tM3bp1H0nM09PTRfU9MzOTjz/+mMOHD+sl4jkf5z7OysrKh2esz8LCguLFi1O8eHERX0pKCsnJySIGCwsLkdAnJiYSGxtLTEwMFhYWlC9fnnr16lG3bl3ee+897Ozs8j1mSTK02rVrs3TpUsaNGycWuMbGxtKrVy++/vprunbtKhe4SpIZsLW1ZdiwYbRr147vvvuOgwcPAroRshEREaxatYqhQ4fKfSCk52KOCbytqqppD59UFCUM8AdGAl+/8qgMRKvVsnTpUgDu37+Pvb09iqKI9plLly5x7do1AIoUKYK7u3ue9/O09pnVq1dz+/ZtQDf1YsmSJeJxDSVnbr29vb3eHzs7u0eOixcvzo0bNzh//rzen/j4eCwtLSlRooS41JiRkUFycjLJyckkJSWJaTygq15evXqVI0eOMG/ePKytralWrRr169eXE24ks1O8eHHCwsJo1KgRERERpKSkkJWVxbRp0/jjjz8IDg6WC1wlyUxUrlyZH374gT179jB58mTxu/zChQv4+PjQuXNnBg0aJN+YS8/E7BL4vJL3//kZXQKfd0O4mfj999+JjY0lOzub1NTUJ7bPNGzYMM/pLGlpafz555/i+OHxkenp6cyfP18cV65c+ZnjK1KkCHZ2dpQqVUok4g8f5/yxtbV9rhei4sWL4+LioncuKSlJJPMXLlwQH1tZWYnKelpamkjoU1JSePDggVgjALo3Pdu2bcPa2prChQvz7rvv0qRJEz766CNq1aolJ9xIJk1RFDw9PalVqxYBAQGcOHECgIMHD/Lll18SGBjIf/7zH+MGKUnSM1EUhWbNmtGwYUN++uknoqOjSU1NBXST565du8bYsWPlWhfpqcwugX+CVv/7+9jTbqgoyuHHfOodw4XzYn766SdAV30vWbIkGo2GmjVrUrZsWUA/gX/c9JlDhw6JObSVK1fGyclJ7/OrVq3izh3dUgFHR0ecnZ25devWIwn4w8m5nZ2d6FU3lMzMTC5fvsy1a9eoVKkSFStW1Pu8ra0tderUoU6dOuKcqqrExcU9Uq2/fPmyWASbk8znjNFMT08nPT2dpKQk4uPj2b17N+Hh4djY2FCpUiXq1KlD69atef/997G1tTXoc5QkQ3jzzTeJiopi7ty5zJs3D1VVSUpKYujQobRt25bBgwfLX/qSZCasrKzo1asXnp6ejBs3Tvxu3717N/369eP7779/ZNdmScrNbBN4RVGGAsWAEugWtTZGl7yPN2ZcL+PMmTMcPqx7b3H//n2RtOdU3xMSEvjnn38AXXvK4zZmyt3//nD7TFpaml71vVevXnzxxRcGew5PkpCQwLlz5zh79iznzp3j3LlzXLp0Sa+vvlq1anh6evLJJ588NpFWFIWyZctStmxZveeXlZVFbGysXlJ/5swZLly4IBL6tLT/v4CTM2P/+PHjHD9+nEWLFlG6dGlcXV2pWrUqVapUEX8qVKggL2tKRleoUCG+/vprGjRooLfL4+rVqzl8+DDh4eFUrVrVyFFKkvSsHBwc+O6775g+fTqLFi0CdJsr9ujRg2nTpj3XFXLp9aKoqmrsGF6Ioig3gdz7kG8GeqqqGvcS93m4Tp06dXKS6FctMDCQTZs2kZ2dTVxcnKicb9q0CUdHR9avX09oaCgAbm5uREZGPnIfqqrSqlUrMblizpw5en3yixcvZsqUKYBuBOWaNWsM3kKSU1XPSdJzEvaEhIRnvg9LS0uaNGmCp6cnjRo1olChF3+vmZycLNpvjh8/zsGDBzl16hQJCQniSkVuhQsXxsnJSW/hr5WVFc7OziKhd3FxwdnZWVbrJaNJSkoiPDxcbBgDugS/f//+dO7cWb7hlCQzs3LlSiIiIsReJ0WLFmXixIkGHe8smRZ3d3eOHDlyRFXVvBc0PoHZJvA5FEUpAzRCV3kvDniqqnrkBe/LaAl8fHw8rVq1Ijs7m7t374pxirkT9WHDhrFr1y4ABg4cSPfu3R+5nwsXLtCxY0cAihUrxvbt20Xym5qaSps2bUQiPXLkSNq1a0dSUhLbt2+natWqVKtW7bniTkhI0Kuo51VVfxonJyfKli3LsWPH8vw6Ozs7Pv30Uzw9PXFxcTHIzHdVVblz5w4HDx5kx44dbN++nX///Zf09HRUVUVRFBwcHJ56CTNnDn9OQu/i4iKr9dIro6oqGzZsYOLEiaKPFqB+/fqEhIRQunRpI0YnSdLz2rdvHyNGjBDtnxYWFowaNYrWrVsbOTIpP7xMAm+2LTQ5/ldxX6MoyhHgLLAQqG7cqJ5fzsZNoKs+5/Sy5kyfycjIYP/+/eL2zZo1y/N+crfPNGjQQK9yvXLlSpG8lylThlatWhEXF0ffvn3Fanh3d3e8vLyoV6+eXqJsiKp64cKFRZKb++9ixYoBcO/ePbZs2UJMTAwnT54UX5eYmMjSpUtZunQpzs7OeHp68t///vel+gMVRaF06dK0aNGCFi1akJ2dzcKFC5k9e7ZotUlPTyc5OZkyZcroLYrNLS4ujri4OL2pPznV+pznKKv1Un5RFIXWrVvj5uZGQECA+Lk5cOAAHTt2JCgo6LFrZSRJMj2NGjUiMjKSQYMGER8fT3Z2NqGhoVy9ehUfHx9ZHJIEs6/A56Yoyl+AG+CgqurtF/h6o1TgU1NTadmyJUlJSWRlZZGWlkaxYsVQFIVNmzbh4ODAvn37GDhwIAAVKlRg9erVed5X3759OXJEdwEiKCiIVq1aicdo3bo1iYmJAPj7+9O4cWP69u3Lv//+q3cfWVlZlCtXjtq1a2NhYcH58+dfqKqek8DmtJ2UL1/+mV98Ll68yMaNG9m0aZPYbCo3jUZDw4YNadmyJf/5z38M1gZ04cIFgoODOXXqlDhnZWVF9+7dcXNz4+LFi+LNy8WLF8nMzHzm+5bVeik/ZWZmMmfOHBYsWEDu1/X27dszaNAggy9AlyQp/8THxzNo0CDOnj0rznl4eBAcHCwnpxUgr3ULTW6KosQBjoC9qqqJL/D1RkngV65cyfjx/7/2NqeFo06dOsydOxeAcePGsWrVKgC6du3KoEGDHrmf+/fv8+GHH4r+ua1bt2Jvbw/AwoULmTZtGgDlypVj7ty5fPPNN8TGxpKZmcm9e/dITU0lNTVVb666tbU1pUqVeux2z0+rqr8srVbLwYMH2bhxIzt37iQ9Pf2R2xQrVgwPDw88PT2pUaPGS7fYZGVlsWDBAn788Ue9Ny01a9YkODiYChUqiNvFxsY+0kKU1xuOx8ldra9ataqo2BctWvSlnoP0+vrzzz8JDAwUC1wBKlWqRFhY2CNjWiVJMl0pKSmMHDlS78p6zZo1mTx5MiVLljRiZJKhvDYJvKIo7wB3VVW9+dB5DTAG3Rz4faqq5j2e5en3/8oTeK1WS/v27YmNjQWgRIkS3Lt3D4Dhw4fzxRdfoKoqLVu2FL+Q586dqzdWMce2bdsYOXIkAK6urixcuBDQvQi0bt2au3fvArr++XXr1nHlyhVAt7tjzojIO3fucPfuXR7+f2FpaUmVKlV4//33eeedd0Si/jxV9ZeVnJzMjh07iImJEVcZHlahQgVatmxJixYtKFeu3Es93rlz5wgODubMmTPinJWVFd988w2dOnV67PNOTEzk3LlznD9//oWr9eXLl8fFxUV8r11cXHBwcDBI/79U8CUlJTF27Fh27twpzllaWjJgwAC+/PJLedVHksxEdnY23333HStWrBDnypcvz7Rp00QxSTJfr1MCPwiYCOwBLgB30E2iaQZUBm4CH6qqevKxd/Lk+3/lCXzOuChVVbGysiItLQ2NRoNGo2Hz5s3Y29tz+vRpunbtCujmom/btg0LC4tH7isoKIiNGzcCulaavn37AjB//nxmzJgBQOnSpSlWrBiXL18GdFXk1NRUihcvLu7H0tISrVZLXFwcFhYWWFtbY21tjYWFBaVLl6Zr1660bdvWqDuaXrt2jY0bN7Jx40bRv/+w9957D09PTz744IMXjjUrK4t58+YRGRmpd2WiVq1aBAUFPfMLqCGq9XZ2dri4uFC1alVRra9YsaJMxqQ8qarKunXr+O677/TGpzZs2JDg4GA5Y1qSzISqqixZsoQpU6aI4pqtrS2TJk2idu3aRo5OehmvUwJfHfAB3gfKAyWBZHSLVzcC01RVffZVlY/ev1FaaK5du8ayZcs4c+aMqCzXrVuXWbNmAbqKrLUzBwAAIABJREFUe04rTYsWLcQoydy0Wi2ffPKJ6HFfuHAhrq6upKSk4OnpKfrrixYtKtpQNBoNH3/8MVu2bAGgdu3ajB49WlTVk5KSWL58OUuXLiUpKUnv8WxtbenUqRMdO3Y06uJMVVU5evQoMTExbNu2jeTk5EduU7hwYT744AM8PT157733XijhPXv2LMHBwXr9iNbW1vTv35+OHTu+cBKdU63PWRh85swZLl68KNqgnsba2lr01ee+MiL7naUcV65cYdSoUZw+fVqcs7OzIygo6JF9IiRJMl27du0iICBA/A63tLQkKCiITz/91MiRSS/qtUng85ux58D36dOHv//+G9AtMm3bti2g63nP+eU7btw4MZkmtxMnTtCjRw8A7O3t2bx5MxqNhujoaGbOnElWVha3bt2ibNmyKIqCRqNh7NixrFq1Smwelfsxc0tJSWHNmjUsWrSI27f11wYXKVKE9u3b06VLF6NX9NLT0/n111+JiYnhwIEDeSbBZcqUoWXLlnh6ej735cfMzEzmzZtHVFSUXjW+du3aBAYG8uabb770cwDdxKELFy6IhP7MmTOcO3dOjBV7Go1GQ8WKFR+p1tvZ2RkkPsn8ZGZmMmvWLBYtWqTXHtehQwd8fX319jyQJMl0nThxgsGDB+tNgPPx8cHLy0u2WJohmcAbiLHnwLdo0QLQJWBbtmzBzs5O73yhQoXYvn17ngtE58yZw48//giAp6cnwcHBJCcn06pVKxITE7ly5Qr29vaULFkSjUZDaGgoDRo0wMPDA61Wi6IobN68+YlJeEZGBjExMcyfP5/r16/rfc7Kyoo2bdrQrVs3sQGVMd26dYtffvmFmJgYLl68mOdtatSogaenJx9//PFzXUU4c+YMQUFBnD9/XpyztrZm4MCBfPHFF/nS0qLVarl27RpnzpzRS+wffkP1JI6OjqKfPqda7+TkJFtwXiMHDx4kKChIr3WrcuXKhIeH4+zsbMTIJEl6VtevX2fQoEF6v9tatWqFv78/lpaWRoxMel4ygTcQYybwS5cuZdKkSQDUq1ePmTNnAvoTaurXr88PP/yQ59d3795dzIDOqdJHR0czffp0YmNjyc7O5u2330aj0RASEkKLFi3YsGEDISEhgG5le3R09DPFmp2dzdatW5k3b94jybFGo+G///0vPXv2pFKlSs//jTAwVVU5ffo0MTExbN68WSwQzs3S0pKmTZvSvXv3Z97IKjMzk6ioKKKjo/Uq/XXq1CEoKIg33njDYM/hSRISEh5J6mNjYx9ZhPw4RYsWFUl9o0aNaNSokaziFHD37t1jzJgx/Prrr+KclZUVAwcOpGPHjvLfX5LMwP379xk+fDgHDx4U5+rWrUtERITemjbJtMkE3kCMmcB7eXlx7NgxAAICAvjss88A3cSYffv2AbqdWHN2Wc3tzp07fPLJJ4Augd6xYweKotCiRQtOnDhBWloaTk5OlCxZkqCgIDw9PQEYMmQIe/bsAcDX15du3bo9V8xarZY9e/YQHR2tt/ES6DaYad68Ob169eLdd999rvvNL5mZmezdu5eYmBh+//33R+baW1hYMGvWrDwn/DzOqVOnCA4O5sKFC+KcjY0NAwYMoH379kapbqempnL+/Hm9xP7cuXNkZGQ89WvfffddvL29ZSJfwKmqypo1a5g0aZLeaNamTZsSGBgoR9RJkhnIzMxk3LhxrF+/XpyrVKkSU6dONYkr4dLTyQTeQIyVwN+8eVMk1RqNhm3btlGiRAlSUlL48MMPxfjB9evX5/lDmbuSnjM7fsaMGQQFBZGWloaVlRVvv/02gYGBYjvm1NRUPvzwQ5HUrVmz5oV7uFVV5dChQ0RFRZHX965hw4Z4eXmZ1Gr5u3fvsnXr1kd2fS1RogSLFi16rhe/jIwMIiMjmT9/vl413t3dnaCgIJN4Ic3OzubKlSuPVOvzuiIBuvYib2/vR3bklQqWy5cv4+/vr7c428HBgbCwsOd6IytJknGoqsq8efPEVXvQrYObPHky1aub3ab0rx2ZwBuIsRL4n376ie+//x7QJbvTp08HYOfOnfj5+QHg7OzMsmXL8vz64cOHs2PHDkBXsffw8KB27dpicoyTkxMTJkzQW6Ca+77ffvttli9fbpDncuzYMebNm8dvv/32yOfc3Nzw8vKiYcOGJpUUnj17lv79+4tFQc7OzkRHRz/36MmTJ08SHBys11ZkY2ODr68vbdu2Nblec1VVuXXrFmfOnOGPP/5gzZo1j1Tpa9eujY+Pj0zmCrCMjAxmzJjBkiVLxDmNRkPv3r3p06dPniNrJUkyLVu2bCE4OFgU/KysrBg7diwffPCBkSOTnuRlEnjTyiheU9u2bRMf554wkzsJbtq0aZ5fm5WVxR9//CGO3d3dadeunUjeraysCAsLe2S6TO7+1//85z8vE76emjVr8v3337NkyRI8PDz0EvW///6bgQMH0rVrV3bs2PHMoxLzm4uLC999951Y/HP+/HmCgoKeOz5XV1cWL15Mr169RLKemprK+PHj6d+/Pzdu3DB47C9DURQcHR1p0qQJw4YNY926dXTo0EFvEdRff/1F37598fHxES1eUsFiZWXFkCFDmDJlimid0Wq1/Pjjj3h7exMXF2fkCCVJeppPPvmEWbNmiYEMGRkZDB8+nMWLFz/zmijJvMgE3siuX7/O8ePHAd2UmZxkWqvV6iXwzZo1y/Prjx49KmafOzo6EhERoZdoeXt706FDB72vycrK0rvv5s2bG+S55Obi4kJ4eDirVq2iTZs2FCpUSHzuzJkzYpfZDRs2PNKLbgw1a9YUu9iCbt5uZGTkc99Pzk6t8+bN46233hLnDx48SMeOHVm9erXJvpg6ODjg5+fHmjVraNu2rV7l9dChQ3h5eTFw4EBOnDhhxCil/NK4cWOWLFmCu/v/F4L++usvOnXqJNbKSJJkutzc3Jg/f75oh1VVlSlTpjB+/Hi90cdSwWARHBxs7BhMRkhISL9y5cqV69ev3yt7zEKFCvH222+TnZ3NW2+9RatWrQD4559/RFtLqVKlGDRoUJ5tJytWrODYsWNotVrS0tI4ceKESOhdXV1ZsmTJI60bf/75J2vWrAGgbNmyDBgwIN9aWkqUKEGzZs1o1aoVWq2Wc+fOiReSe/fusXv3bmJiYihUqBDOzs56if6rVrVqVR48eMA///wDwOHDh3F2dn6haTqOjo589tlnZGZm8s8//6CqKpmZmfz2228cO3YMd3f3PMeBmoJixYrRpEkTWrZsSXJyMufOnRNvOq5evcratWs5ffo0b731FqVLlzZytJIhFS1alJYtW1KoUCGOHDmCqqqkp6ezZcsW7t27R926dWVLjSSZsBIlSvDpp59y9OhRcfXs1KlTnDx5kmbNmskxkyZm7ty53Lhx40ZwcPDc5/1aWYE3MhsbGz799FMmTZpERESEOL97927xcZMmTR7bP713715UVeXff/8lMTFR9HE7OjoSGhqa5y/bh9tnXkU/epkyZRg6dCgbNmzAy8uLokWLis/dvHmTiIgIOnXqxL///pvvsTyJr68v9evXF8eBgYF6C/yeR85ovqioKCpWrCjOHzhwgA4dOrBmzRqTrcaDbu1EYGAgK1eupEWLFnr/B/fs2UOXLl3w8/PTm4cvmb+c/ve5c+dSpkwZcX758uX07NmTK1euGDE6SZKepmTJksyaNUtMpwPYt28fvXv3Jj4+3oiRSYYkE3gTkjuRzn3J+nH979evX+fChQtcvXqVlJQU0tPT0Wq1ODo64u7urvfDm0NV1Xzrf38W9vb2fP3118TExPD111/rjauLjY3Fy8uLU6dOvdKYcrOwsGDcuHHiEmRaWhrffvstiYmJL3yfNWrUYMmSJXTr1k38G6ekpBAWFsbAgQNNvse4QoUKhIaGsnz58kfWNezcuZNOnTrh7+/P5cuXjRekZHBubm4sXbpU7zXi7NmzdO3alQ0bNpj0m09Jet1ZWVkxZswYvLy8xLlz587Ro0ePFy5KSaZFJvAm6OrVq1y6dAnQ/RDWq1cvz9v9+uuvXL16leTkZGxsbEhMTMTBwYFSpUrx1Vdf5Vm1P3XqlHgHbmtra7TRjsWLF8fLy4sNGzYwZMgQrKysAN3GRH379mX//v1GiQt035fJkyeLKTQ3btxg+PDhYnX/i7C2tsbX15eoqCgqVKggzu/fv58OHTqwbt06k0+IKlWqRHh4OEuXLtWbbKCqKlu3bqVDhw4EBgZy9epVI0YpGZKtrS0TJ07Ez89P/IympqYSEhJCYGAgKSkpRo5QkqTH0Wg0fP311wQGBoqr8bdu3aJ3797s3bvXyNFJL0sm8CYo9wLTBg0aULhw4Uduk5GRQUREhOh3V1WVUqVKUbp0aSpVqqQ3zSa33NX3pk2bGr2f1cbGhhIlSmBtbU1sbCyxsbFcuHCBTp06MXLkSHbt2sWJEyeIj49/pYtwKlWqRFhYmKg2HzlyhIkTJ770/dasWZOlS5fSpUsXcd/JycmMGTOGIUOGmEVC5OzsTEREBD/99JPe1SGtVsumTZto164doaGhXL9+3YhRSoaiKAodOnRg/vz5eq1gv/zyC126dDHqFTNJkp6udevWTJ8+Xay7Sk1NZfDgwaxYscLIkUkvQ86Bz8WYO7Hm5u3tzZ9//gnAqFGj+Pzzz/U+n5mZyZAhQ5g3bx6qqqKqKmXKlKFUqVIAhIeH4+Hhked9f/HFF6K6P2nSpMdOt3lVFixYIObep6enExsbqzeVxtHRUTwvjUaDvb09jo6OlC5dGkdHxzw/Ll68uMH6+nPHBzBixAjat29vkPv++++/CQkJ0atYu7q6Mm3aNLPaCfPkyZPMnj1b7Bicw8LCgjZt2tC7d2+9XmrJfKWmpjJx4kS9nR8LFSrEgAED6NSpk8ntdSBJ0v+7ePEivr6+eiONu3Tpgq+vr/zZNRK5kZOBmEICn5SUxEcffSRmkG/evFlv0kdmZiYjRoxg48aNIvHLSWoVRaFy5cosW7Yszx/GK1eu0K5dO0DX0rFjxw4KFy6MqqpkZ2e/0gkwqqoyffp0Fi5cqHc+KyuL2NhYve3d7e3tnysBtLa2xtHREQcHBxwcHMTHuc+VLl1atAQ8Lc7Ro0ezefNmQJeUzpw5U2/U3stIS0tjxowZept0VapUiR9++AFHR0eDPMarcuzYMWbPns3Bgwf1zltaWvL555/Tq1cvHBwcjBSdZEhbtmwhLCxM74rR+++/T3BwMHZ2dkaMTJKkJ0lISGDQoEF6O5A3b96cMWPG5Hm1X8pfMoE3EFNI4Ddv3kxAQAAA1apVY8GCBeJzWVlZoq3k5s2bJCYmYmdnh5WVFfb29gCMGzfuse0zuavJzZs3Fy0hv//+O5MnT2bQoEE0adIk36fSZGdnExYWplfFc3d3Z9CgQSQmJnLlyhVmzZrFhQsXyMrKIjMzkxIlSmBvb2/Q2EqWLKmX3Ddt2pQmTZo8crv09HT69OkjWgVKlCjBokWLcHJyMlgsK1euZMKECaIPvmzZsvzwww96LQvm4siRI8yaNYu//vpL77yVlRXt27enZ8+e4v+rZL7+/fdf/P399RKB0qVLM3bsWN577z0jRiZJ0pOkpaUxevRodu3aJc65uroyZcoU+dr8iskE3kBMIYH39/dn69atAPj4+NC7d29Al/T6+/uzY8cOVFXlwoULYse1okWLUrRoUd5++22WLl362EthPXv2FJtGhYSE0LJlS7KysujYsaMYDVe3bl0GDx6Mi4tLvjy/jIwM/P39H5mEEx4erlcRz8jIYPTo0ezYsUOcq127NsOHDyclJYVbt24RHx/PrVu3Hvk4NTX1hePz8PBgxIgR4nubIz4+nq5du4oxnc7OzkRHR4uFroawdetWAgMDRQtRyZIlmT59Ou+++67BHuNVUVWVQ4cOMWvWLDFXP0fhwoXp2LEj3bp1M6tWIelRmZmZ/PDDDyxevFicUxQFLy8v+vbta/Q1NpIk5U2r1TJt2jS9n91atWoxd+5c+XP7CskE3kCMncBnZWXx0Ucf8eDBAwCWLl1KlSpVyM7OZvTo0SKxT09P5+7du5QqVYpLly7h7OyMoihMmDCBDz/8MM/7vnXrFv/9738BXS/59u3bsbW15cyZM/Tr1088Juh+Abdp0wYfHx/Rf24IycnJfPvtt6K/H3SLa0aNGpXnC4ZWq2XSpEliQyvQJc7Tpk17bHuJqqokJyfnmdjHx8cTHx/P7du3uX37tmhTeljp0qUJDAykUaNGeuePHTtGv379xDSa5s2bM2HCBIP2Du7fv59hw4aRlpYGQJEiRZg8ebLZVjRVVWX//v3Mnj1br1ILuufWqVMnunTp8sgbJsm87Nu3j6CgIL1xq7Vq1SIsLIyyZcsaMTJJkp5k5cqVREREiN+Hffv2pW/fvkaO6vUhE3gDMXYCf+jQIXx8fABdC0XOrOXAwEDRgw1QpUoVzp07R3x8PBkZGZQvX54qVarw008/PTaZXLlyJePHjwd0VfZZs2aJzyUmJjJ37lxWrVqll9QWKVKEnj170qVLF6ytrV/quSUmJjJw4EC9iRXdunVj4MCBT2yLUVWVhQsX6i0kLVu2LNOnT3+hHVJzaLVa7ty5I5L73bt367X0ALRr145BgwZhY2Mjzm3YsIGQkBBx/NVXX2HonXv/+ecffH19SUpKAnQ95OPGjXvlM/sNSVVVfvvtN2bPnv3IDOJixYrRpUsXOnXqZLK700pPd/v2bUaPHs2hQ4fEOVtbW0aPHk3z5s2NGJkkSU8SHR3NzJkzAV2Bb+7cubi5uRk5qtfDyyTwctmxCXl48yZVVQkODtZL3jt06EDx4sXJysoiISFBJDyPm/ueI3fLysO/TO3s7Bg+fDjLli3TqzqnpKQwc+ZM2rdvz9atW194TvnNmzfp3bu3XvI+cOBAfH19n9rTrigKPXr0ICQkRFTpc+7v2LFjLxQP6F6kHBwccHV1pVmzZgQGBjJ58mS9/r9Vq1bRuXNnvcdp1aoVnTt3Fsc//vgj27dvf+E48lKjRg0iIyPFgs/MzEz8/PweeYNhThRFoWnTpixevJiIiAgqV64sPvfgwQPmzJlDhw4d5OhJM1a6dGl++OEHvv76a/FalJSUxLBhw5gwYQIZGRlGjlCSpLz07NmTOnXqALriVkBAAPfv3zdyVNLTyATeRKiqyu7du8VxkyZNGDNmDJs2bRLn2rdvj4+PD0ePHiUhIQFVVSlWrBguLi5PrM7ev39fryr2uNGRlStXZtq0aUybNk0vwbpx4wb+/v707t1b9NA/q0uXLuHl5UVsbCygS5wDAgLo3r37c91Py5Yt+f7770U1PCkpCW9vb73v2ctq2rQpy5cv19uk6OrVq/Tp04eZM2eK1hlfX18aNGggbhMcHGzwne0qV65MVFSU2BFWq9USGhrKokWLDPo4r5pGo+GDDz5g2bJlhIeH6y3SjY+Px8/PT28CkWReNBoNXl5eREZG6rXOrFixgh49eogRtpIkmQ6NRsOYMWMoXrw4oCuShYeHm/zmgq87mcCbiEuXLonqo42NDVu2bGHDhg3i823btsXPz48DBw6Qnp5OQkIChQsXplChQvTt2/eJ1fe9e/eKTZBcXV2fOpKxUaNGLF26lBEjRugtMjx27Bg9e/YkICCAmzdvPvU5nThxgj59+oidXy0tLRk/fjyfffbZU7/2cXHNmTNHjKnLyMhg2LBhrF69+oXuLy92dnZMmDCBkJAQihYtCuiS5+joaHr27MnFixexsLAgPDxc7KialpbGkCFDxAJXQ3FyciIqKkpvQfHUqVOZPn262b+wajQaPDw8+PnnnwkKChIjTE+fPs2ECROMHJ30smrWrMmSJUv03gyfO3eObt26sX79erP//ytJBU2ZMmXEBDyAbdu2ERMTY8SIpKeRCbyJyKkkq6qKRqPR+8Fp06YNI0aMQKPRsHfvXu7cuaNXfX/aZky5R0U9ax+1hYUF7du3Z82aNXTr1k1vRvzmzZtp27Yts2bNeuzOoQcPHsTb25t79+4Bun76qVOn6v1CfxGurq5ER0dTvnx5QJdch4eHM2fOHIMlBYqi0LJlS5YvX663ePTMmTN07dqVxYsXU6xYMSZNmiSS/Js3bzJ8+HBRpTcUe3t75s6dKy5vgm4caFhY2GMX4ZoTCwsLWrVqxdChQ8W59evXs3btWiNGJRmCra0tEyZMYOTIkWLCVFpaGqGhoQQEBIhdpCVJMg0ffvihXoEtIiJCXD2XTI9M4E3Enj17UFWVuLg4vT7gVq1aMWrUKDQaDVqtll9//VVMeihWrBj9+vV7Yh95RkaG3g6Zz7sQsnjx4vj6+rJy5Uq95DsjI4OoqCg+//xz1q9fr5dM7tixA19fXzHOsUSJEsyePZt69eo912M/zptvvkl0dLTeeMUff/yRsLAwcaXBEMqWLcvMmTMZMmSISEAyMjKYMmUK3t7eWFtbEx4eLr7/f/31FxMnTjR4dbFYsWJMnz6dpk2binNr165lxIgRBaavuF27drRo0UIcT5gw4ZGpNZL5URSFdu3asXDhQr1F51u2bKFz587y31iSTMy3334rWhtTU1MJCAgweGFKMgyZwJuAhIQE/vnnH+Li4khMTBQLU1u0aMHo0aNFe8zp06c5f/48qqpiYWGBm5ubXlKXlwMHDohEukKFCi88uaV8+fJEREQwd+5c3nnnHXH+zp07hIaG0rVrVw4fPsyaNWsYMWKE+IF3dHQkMjISV1fXF3rcx7G3t2fOnDk0bNhQnFu7di1Dhw4VIxgNQaPR0LlzZxYvXqz3huHIkSN8+eWX3Llzh/79+4vzq1evZuXKlQZ7/BzW1tZMnDiRli1binM7d+7E19f3sVdBzImiKPj7+1OlShXg/xfu3r1718iRSYbg7OzMwoUL9ap7165do1evXixatKhAXE2SpILAxsaG8PBwcdX95MmTzJ4928hRSXmRCbwJ+O2330TyXqRIESwsLPj0008JDg7W623fvHnzc1XfgUc2THrZnUzr1KnDwoULCQ4OFlNSQNde0q5dO3x8fMQixIoVKxIdHf1S4x6fpEiRInz//fd6Se1vv/2Gj4+PwRO/ypUrM2/ePPr06SP+TVJSUggNDeXo0aN6VzYmTpyot2jYUCwsLAgKCtKbgnPo0CG8vb0LRKJbuHBhJk6cKN7A3rx5k4CAAJncFRA2NjYEBAQQHh4uWs+ys7OZOnUqgwYNMvgaEkmSXkzVqlUZMGCAOF64cCEHDx40YkRSXmQCb2SqqjJlyhTxy6tYsWJ4eHgQEhLyyMLUJUuWiPYMV1dXmjRp8sT71mq1eqMpDTVHXKPR4OnpyerVq/nqq6+wsrISGybdv3+fixcvAjB58uR838SlUKFCBAcH07NnT3Hun3/+oXfv3gYfSVioUCG8vb2Jjo4WC1hB1/70119/iU2vtFotw4cP59q1awZ9fNB97wcPHszXX38tzp08eZI+ffoQFxdn8Md71cqXL09oaKg4/uOPP5g7d64RI5IMzcPDgyVLllCtWjVxbt++fXTu3FmOEZUkE9GpUycxbS1nP5qCUCgqSGQCb2S//vqrXrX2008/ZcyYMY/sTHr27FlOnz4tjocNG/bUavrRo0dFxb5UqVJUr17dgJHrKmp9+vTh/fff1+s9t7GxQavV4uXlxc8//0xWVpZBH/dhiqLQv39//Pz8xPfkypUr9OrVy+DjHQGqV6/OkiVL6NChgzh379494uLiuHv3LtnZ2SQlJTFkyJB8aW/J2are399fPN/Lly/j5eXF5cuXDf54r1rTpk3x8vISx5GRkfz2229GjEgytDfeeIPIyEi9cbK3b99mxowZRoxKkqQcGo2GkJAQMfXt9u3bhIaGyglSJkQm8Eb2zjvvUKdOHRRF4Y033mD69OmPJO8A48aNEz84Tk5OeHh4PPW+c0+fadas2RNHTb6IjIwM/Pz82LVrF05OTrz11ltUrlyZN998E41Gw71794iIiODLL79k7969+f6D36FDB8aPH4+lpSWg68/v06dPvrSzFC5cGD8/P2bMmIGjoyOgq9BbW1tz+fJlkpOTuXDhAqNHj863FpC2bdsybtw40asYFxdHnz59CsTCQG9vb+rXry+OAwMD+ffff40YkWRolpaWDBw4kMmTJ4tz27ZtE1fwJEkyrlKlShEUFCSO9+zZw6pVq4wYkZSbTOCNrFy5cuzevZvFixezdu1avXGNOeLj49m6das47tix41Or76qqPnH31ZeVnJxM//799TZS+vLLL/nrr7+IiIjAyclJnL98+TK+vr4MGDCACxcuGDSOh3344YfMmDFD9FGnpKQwYMAAve+fITVo0IBly5bx6aefArqrD6VLlyY2Npa4uDh27dqVry0gH330EVOnThUbXN29exdvb+98edPyKmk0GsLCwkQL1v379/Hz8zPoAmXJNDRt2pTGjRsDutetyMhII0ckSVKOxo0b07FjR3E8efJk+SbbRMgE3gQoisJnn3322EktUVFRJCUlAboEMXe/9+OcO3dO9JMWLVpUb575y0pISKBfv34cOXJEnOvevTsBAQEUKlSIjz76iJUrVzJgwACKFCkibvPHH3/QqVMnwsPD83XBmru7O5GRkWKRbVZWFv7+/ixZsiRfHs/W1paxY8cybtw4bG1tKVGiBPb29iQkJHD58mVmzJjB9u3b8+WxAerXr8+sWbOwtbUFdG9aBg4cyM6dO/PtMV+FkiVLEhERIa6onD17Vu9KlFRw9O3bV3y8bds2uWOrJJkQX19fnJ2dAd2Vd39//wIzwticyQTexMXFxbF06VLRhuHi4sLbb7/91K/LXX1v3LixSIJe1o0bN+jTp49eP/7AgQMZOHCg3lUBKysrevTowdq1a2nbtq1o39FqtaxevZrPP/+chQsX5tuLgLOzM/PmzdObgDOfoxYfAAAgAElEQVR58mSmTJmSby0tH3/8McuXL6dRo0aUKVOGokWLkp6ezqVLl/D29s7X1pbq1asTGRkp2nkyMzMZMWIE69aty7fHfBVcXV0ZNmyYON64caNBd96VTIOrqyvvv/8+IKvwkmRqrKysCA8PF/uhnD9/nmnTphk5Kkkm8CZu/vz5YuW3jY0Nnp6ezzQK8uHxkYZw8eJFevfuLXZm02g0jB49Wm8h2sPs7e1F9Tv3Rk7JyclMmzaN9u3bs2PHjnypqpYtW5aoqChq1aolzi1evJjAwMB825jCwcGBqVOn4u/vz9tvvy1e8G7cuIGHhwfHjh3Ll8cF3ajLqKgoMSFHq9UyZswYFi5cmG+P+Sp8/vnntG7dWhxPnDiR48ePGzEiKT/krsJv3bpVVuElyYRUrlyZIUOGiONly5bx+++/GzEiSSbwJiwuLo61a9fy4MEDQJccPm10JMD169fF9BVLS0tR2XoZx48fp0+fPsTHx4v7HT9+PG3atHmmr3d2duaHH35gypQpYpe3nFiHDx/OV199lS8ValtbW2bOnKn3Jmbz5s34+vrm21buiqLQtm1bfv75Zz7++GNx9SExMREPDw+WLVuWb20g5cqVIzIykqpVq4pz06ZNY9q0aWbbeqIoCsOHDxfPKSsrCz8/PzFhSSoYqlWrJqvwkmTC2rVrp7d5ZEhICHfu3DFiRK83mcCbsOjoaFJSUkhPT8fGxgY7O7tn6mXPXX2vV6+eXh/6izhw4AA+Pj6iD79IkSJMmzaNDz744LnuR1EUGjduzPLlyxk2bJjo2Qb4+++/6d69O8uWLXupWPNibW1NREQE7dq1E+cOHjxI37598/XF580332Tp0qV67UX379/n22+/ZcCAAeLNkKHZ29szd+5c6tSpI84tXLiQsWPH6o37NCc5/4Y5/2fi4+MZNWqU3OSpgHm4Cl8QxqJKUkGhKAqBgYGULl0a0BWlgoKC5OuwkcgE3kTduHGDdevW6VXf33vvPTFt5EkMOX1m+/bt+Pr6kpqaCugWFs6ePZu6deu+8H0WKlSIjh07snbtWjp37izGZlpYWNCwYcOXivdxNBoNI0aMwMfHR5w7c+YMvXr1Ei1B+cHCwoKwsDACAwOxtrYGdJNifvnlF7788st8m45TtGhRZsyYoVctWbduHSNGjDDbxUdvvPEGY8aMEW+GDh48yKxZs4wclWRI1apVo1GjRoCswkuSKSpZsiShoaHidfiPP/5g6dKlRo7q9SQTeBM1b948srKyePDgATY2NhQtWvSZWmESExP5+++/Ad275dwJ3PNavXo1I0eOFBsxlSlThsjIyMdOy3letra2DBkyhBUrVtCsWTPat2+v115jaIqi0Lt3b0aPHi3aWq5fv46Xl1e+91QPGzYMHx8f7O3tAbh58yY3btzA398ff39/cXXDkKysrJg4cSKenp7i3K5du/D19c2XDaZehffff5+vvvpKHM+bN09vlKlk/nJX4bds2SKr8JJkYurVq0e3bt3E8fTp0zlz5owRI3o9yQTeBF2/fp1169ah1WpJTk4W4xBzZiU/yW+//SYuZ9WqVUskjM9DVVXmzZtHeHi46Jt+6623iI6O5q233nru+3uaChUqMGnSJL0FMvmpTZs2TJ48Wa8i7u3tna8LcnIuPTZv3pyKFStiaWnJtWvXyMzMZOvWrXTs2JEDBw4Y/HEtLCwIDAykS5cu4tyhQ4fw9vY22x7yPn36iCot6DZ5ys+rKNKrVb16db0qfFRUlJEjkiTpYT4+PqKYlzOqOedKvfRqyATeBEVHR5OdnU1KSoqovr/11lu88cYbT/3a3Luvvkj7jFarZcqUKfzwww/inKurK5GRkZQpU+a57+955LUDbX5p3Lgxc+bMoUSJEgCkpaUxZMgQNmzYkG+PaW1tzXfffUeFChWoVKkSxYoV4+rVq2i1Wm7dusWAAQPyJYnXaDQMGjSI/v37i3MnT56kT58+3Lx50+CPl980Gg1jx44Vm4UlJyfj5+cnf3kUILmvssgqvCSZHktLS8aOHSvaeq9cuaK3q7KU/8wqgVcUpZSiKH0URVmjKMp5RVFSFUW5pyjK74qi9FYUxayeT16uX78uksgHDx6I6vuztM+kpKToJYDPOz4yOzub0NBQfvrpJ3Gubt26zJ49m5IlSz7XfZmD6tWrEx0drbdrbPHixfP1MR0dHfnuu++wsbHByckJBwcHsZBWq9UycuTIfKkmK4pCz5498ff3F72LV65cwcvLyyzH9dna2hIREaE3lzj3FSPJvNWoUUNU4bVarazCS5IJqlChAn5+fuJ4zZo1Zr+BoDkxt4T3C+BHoD5wAJgCrAKqA5HAz8qzDEk3YVFRUWRnZ6OqKhYWFmKCzLO0z+zfv18sUKxSpcozVexzpKenM2zYMGJiYsS5Dz74gKlTp770FBtTVrFiRaKjo3FxcWH48OEGm5n/JNWrVycgIADQvWEoWbKkqB4nJSXx7bff5tuIy7Zt2zJ+/HixsVd8fDx9+vTJ102m8ss777zD8OHDxfEvv/zCihUrjBiRZEgPV+GvXLlixGgkScqLp6cnHh4e4njs2LHExcUZMaLXh7kl8GeB1kB5VVW7qKo6UlVVL+Ad4CrQDmhrzABfxrVr10T1PSMjg6JFiwK6sY1ubm5P/foX3bzpwYMHDBgwgD179ohzbdq0Yfz48aLCWZCVLl2aBQsW6I2ZzG8tWrQQi4BykumchaWXLl3K1xGJH374IVOnThWXPu/du4e3tzcHDx7Ml8fLT23atOGzzz4Tx5MnT87XzbKkV6dGjRpiKpWswkuSaVIUhZEjR1K2bFlAV4QaPXq0HC35CphVAq+q6k5VVTeoqqp96PxNYPb/Dv/zygMzkKioKPGf3sHBQVS+GzRoIJK8x8nMzOS3334Tx8/a/56QkEC/fv04cuSIONejRw8CAgLEpJbXwdO+v/lhwIABok0gJ5lOS0sD4Pfff2fmzJn59tj16tVj9uzZYq56SkoKvr6+Znn508/Pj3fffRfQLaYaPnw4CQkJRo5KMoTcVfjNmzfLxcqSZIKKFy/O2LFjRc5w5MgR5s+fb9ygXgMFKUPL/N/fWUaN4gVdvXpVr30l9/SYZ2mfOXLkiJgZX65cOapUqfJMj3v37l1u3LghjgcOHMiAAQMw804ks6DRaAgLC6NChQqA7kpL7n+3+fPns3nz5nx7/GrVqhEVFYWjoyOgexN4/vz5fHu8/GJlZcWECRPEm5Fbt24xcuRIs920Svp/NWvWpEGDBoCuCi/nwkuSaXJzc6NPnz7iePbs2fzzzz9GjKjgKxAJvKIohYDu/zt8asajKMrhvP6ga8UxitzVdzc3N65evSo+l3tk3uM8PH3mWRPwypUrM3XqVIoWLUpgYCDdu3d/+hdJBlO8eHG+//57bG1tGTBgACtXrtRbsBwaGpqv/emVKlUiKiqKChUq0KFDB72KpzlxcnIiLCxM/L8/fPiw3iQlyXzlngsvq/CSZLp69+5NzZo1Ad0b7lGjRuXbei6pgCTwwHh0C1k3qaq6xdjBPK/Y2Fg2bdokjuvVqyeqh++8847YtvhxtFqt3mY2z7sQs0aNGqxfv57WrVs/19dJhlGxYkXWrl1Ljx49xM6tOfP2MzIy+Pbbb7l9+3a+PX65cuWYP38+Q4cONesrLw0bNqRfv37ieOHChWbZEiTpk1V4STIPFhYWjB07lmLFigG6qXoTJkwwclQFl9kn8IqiDAS+BU4D3Z5ycwBUVXXP68//7uOVi4yMFNX3evXq6c3mfpb2mZMnT3Lr1i1At81xrVq1njuGnHnoknHktH8AFCtWjMmTJ4uRlrdu3WLo0KFiwlB+PX5BWPPg5eWl9zMTHBwsp5cUALIKL0nmwcnJCX9/f3G8adMmvQKlZDhm/RtbUZRvgKnASaC5qqpmt3ItNjZWr8+5b9++ejuCPsv899zTZ5o2bfpKN0SS8keFChUYN26cSKqPHz8u55w/A41GQ2hoqBihmpKSwrBhw8SEH8k81axZk/r16wNyIo0kmToPDw9atWoljsePH8+1a9eMGFHBZLYJvKIog4AZwHF0ybv5bSmJrtrasWNHrKysaNCgAdbW1mKCRsmSJalWrdpT7yN3//urmGMuvRoNGjRg0KBB4jgmJoYlS5YYMSLzYGtry8SJE8UI1IsXLzJ27Fj55sfM5a7C//LLL7IKL0kmbNiwYbz55puArpAyatQosrLMcsaIyTLLBF5RlOHA98Df6JL3eCOH9MLs7e359ttvWbduHX5+fnrV90aNGj21reHy5cuiRcDGxkZUqaSCoVOnTnprE6ZOncr+/fuNGJF5cHFx0buMu3XrVpYtW2bEiKSXVatWLerVqwfoqvDR0dFGjkiSpMcpUqQIYWFhoiPg+PHj/Pjjj0aOqmAxuwReUZTR6BatHgY+VFU1/1b3vUIODg5UqFCBvXv3inPP0v+eu/resGFDrK2t8yU+yTgURWHEiBF6K/tHjhwpq4/PwNPTk7Zt/39ftylTpvD3338bMSLpZeWuwm/atElvWpckSabF1dWVr7/+WhxHR0fr7TkjvRyzSuAVRekBhALZwG/AQEVRgh/609OoQb6ExMRETpw4Aeh6eXMmLzzJi+6+KpkPKysrJk6cKOa1P3jwgMGDB3P//n0jR2b6hg4diqurKwDZ2dmMGDGCO3fuGDkq6UW5ubnpVeFlL7wkmbZu3bpRt25dAFRVJSAggKSkJCNHVTCYVQIPVPrf3xbAICAojz89jRKZAezbt0/06dasWVNvMkle4uPjRcJvYWHxTBV7yTyVKlWKSZMmib7uK1euMGrUKLld9VNYWVkREREhpizdvn2bkSNHyl5MMyar8JJkPjQaDSEhIeI1OD4+Xq5JMhCzSuBVVQ1WVVV5yp//GDvOF/W87TO5q+/u7u5PTfgl8/buu+8SHBwsjvft28f06dONF5CZKFu2rN5EnyNHjsjvmxl7uAove+ElybQ5OjoSGBgojnfu3Mm6deuMGFHBYFYJfEGWnZ2ttzjxecdHNm/ePD/CkkyMh4cHXl5e4njRokVyxu4zqFevHt7e3uL4p59+Yvv27UaMSHoZuXcM3rhxI//++68Ro5Ek6WmaNWtG+/btxfF3333H5cuXjRdQASATeBNx7Ngx0dPs6OiIs7PzE2+flJTE4cOHxXGzZs3yNT7JdHh7e9O0aVNxPHbsWI4fP27EiMxDz5499b5vISEhXLp0yYgRSS+qdu3aoq9WVuElyTwMGjSIypUrA5CWlsaoUaPydYPCgk4m8CYi9/jIxo0bP3VL+99//53s7GwAqlWrJhY4SgWfRqNhzJgx4oUwIyODoUOHEh9vttNUX4mcXszy5csDkJqaKjd5MmO5q/AxMTGyCi9JJq5w4cKEhYWJtVxnzpxh5syZRo7KfMkE3kQ8nMA/jZw+83orWrQokydPFusebt++zdChQ0lPTzdyZKatePHiTJw4UYxbvXz5MiEhIXJBlRmqU6eOrMJLkpmpUqUKAwcOFMeLFy+We5u8IJnAm4CbN29y4cIFQDc1I+eX0uOkp6ezb98+cSz7319P5cuXZ/z48WJx5smTJ+Xq/mdQpUoVRo0aJY537Nghd7g1U7IKL0nmp2PHjjRq1EgcBwUFiR3opWcnE3gTkHv6jLu7OzY2Nk+8/YEDB0hLSwOgYsWKvPXWW/kZnmTC6tWrx9ChQ8XxL7/8wqJFi4wYkXlo0aIFHTp0EMdTp06VG4yYoTp16vDee+8BsgovSeZCURSCg4Oxt7cHICEhQV4JfQEygTcBuRN4OX1Gel5ffPEFn3/+uTiePn263v8pKW+DBw+mRo0agC75GzFiBLdu3TJyVNLzyj0XPiYmhmvXrhkxGkmSnoW9vT0hISHieO/evfz8889GjMj8yATeyDIyMjh48KA4floCn52dze7du8Wx7H+XFEXBz88PNzc3QLfbnb+/v5yw8hSWlpZMmDABOzs7QFcFGjNmjJGjkp5XnTp1cHd3B+TurJJkTho2bEiXLl3E8dSpU4mNjTViROZFJvBGlpiYSJ06dbCysqJChQq8+eabT7z90aNHuXfvHgAODg5im3jp9WZpaUlERARlypQBIDk5mSFDhsgtq5/C0dGR8PBwNBoNlStX1mtHksxH7ir8xo0bZRVekszEN998g4uLC5aWlvTv319MCZOeTibwRlamTBmmTZvGzp07mTRp0lNvv2vXLvFxs2bNxAJGSbK3t+f777+ncOHCAFy9epWRI0eKcaNS3urWrcukSZNYsGABFSpUMHY40gtwd3cXVfjs7GzZCy9JZsLKyopx48axYMECOnfuLHOa5yC/UyaicOHCVKpU6Ym3UVVV9r9LT+Ti4kJwcLA4PnDgAFOnTjVeQGaiSZMmT108Lpm2h3vhr1+/bsRoJEl6VhUrVsTFxcXYYZgdmcCbkbNnz3Ljxg0AihUrRp06dYwckWSKPvroI73xekuWLGH9+vVGjEiS8p+7u7t4TZRVeEmSCjqZwJuR3NX3Jk2aYGlpabxgJJP21Vdf6V2hGTduHMeOHTNiRJKU//r16yc+3rBhg6zCS5JUYMkE3ozk7n+X02ekJ9FoNISEhODs7AxAZmYmQ4cOJS4uzsiRSVL+kVV4SZJeFzKBNxP//vsv58+fB3SLPho2bGjkiCRTV6RIESZPnkyJEiUA3ZjEoUOHik3AJKkgyt0LL6vwkiQVVDKBNxO522fq169PkSJFjBeMZDacnJyIiIjAwsICgFOnThEaGip3vJMKrIer8PPmzTNyRJIkSYYnE3gzIafPSC/K3d2dYcOGieOtW7cyf/584wUkSflIURS9Rdzr16+XVXhJkgocmcCbgYSEBI4ePQroepubNGli5Igkc9O+fXvatWsnjmfOnMmePXuMGJEk5Z/33nuP2rVrA7oqvHzDKklSQSMTeDOwZ88e0fLg5uYmtn6XpOcxdOhQ0VqgqioBAQFcvHjRyFFJkuEpiqLXC79u3ToxgleSJKkgkAm8GZDTZyRDsLS0ZMKECTg5OQGQkpLC4MGDuXfvnpEjkyTDe7gKL3vhJUkqSGQCb+JSUlI4ePCgOJYJvPQy7OzsmDRpkth19Nq1a4wYMYKsrCwjRyZJhpVXL7yswkuSVFDIBN7E7d27l8zMTABcXFxE9VSSXlSVKlUIDQ0Vx4cOHeL77783YkSSlD/q1q2Lm5sbAFlZWbIKL0lSgSETeBOXe/qMrL5LhtK8eXO9XSuXL1/O2rVrjRiRJBnew73w69ev5+bNm0aMSJIk6f/au/tgK8r7gOPfHyIWRVQoVpMpEao2pKCJLwjUImqbGJsaM9W0TZOqqFNDU4uJo2kmTcxMWzUpUcd0pmPShploJg1Goc2YaqpGROK7tDVqfAHqSxR8iaIIiPLrH7uXHo/3wr1w7t2ze7+fmWf27u6zZ59zf3vv+Z3nPOfZzjCB72KbN29m2bJlW9edPlKddOaZZ3L88cdvXb/kkktYsWJFhS2SOu/II4/k0EMPBeyFl9QcJvBd7N5772X9+vVAcUOeAw88sOIWqUlGjBjBRRddxMEHHwwUyc2NN95YcaukzoqIt33atGTJEnvhJdWeCXwXa5195thjjyUiKmyNmmj06NEsWLCAcePGMW/ePC644IKqmyR1nL3wkprGBL5Lbdmyhdtuu23ruuPfNVj2339/rrvuOubOneubRDVSb/PCr1mzpsIWSdLOMYHvUg8++CAvvvgiUEz919N7JA2GMWPGVN0EaVBNnz6dQw45BLAXXlL9mcB3qdbZZ2bPns2IEYZKknZU+1j4xYsX2wsvqbbMCrtQZr4tgXf2GUnaefbCS2oKE/gutGrVKp588kkAdt99d6ZPn15xiySp/hwLL6kpTOC7UGvv+6xZsxg1alR1jZGkBjnqqKO29sJv3ryZhQsXVtsgSdoBJvBdyLuvStLgiAjOPvvsreuLFy9m7dq1FbZIkgbOBL7LrFmzhoceegiAkSNHcvTRR1fcIklqlhkzZjBt2jTAXnhJ9WQC32Va534/4ogjnN5PkjqsfSz89ddfby+8pFoxge8y7XdflSR13owZM5g6dSpgL7yk+jGB7yLr1q3jvvvu27o+e/bsClsjSc1lL7ykOjOB7yK33347W7ZsAWDatGlMmDCh4hZJUnPNnDnTXnhJtWQC30WcfUaShk5rL3xEsH79ejKz4lZJ0vaNrLoBAxURpwDHAO8HDgX2BK7JzE9W2rCdtHHjRpYvX7513fHvkjT4Zs6cydy5cznhhBOYPHly1c2RpH6pXQIPfJEicX8NeBp4b7XN6Yw777yTTZs2ATBp0iQmTpxYcYskqfkignnz5lXdDEkakDoOoTkPOBgYC3y64rZ0TOvwGXvfJUmS1Jfa9cBn5tZ5FiOiyqZ0zFtvvcXSpUu3rjv+XZIkSX2pYw984zzwwAOsW7cOgH333ZcpU6ZU3CJJkiR1q9r1wHdCRNzXx65KxtO33rxpzpw5jflkQZIkSZ1nD3zFMtPpIyVJktRvw7IHPjMP72172TN/2FC25amnnuL5558HYOzYsRx22JCeXpIkSTUzLBP4bjJx4kRuuukmli5dyvr16xk50pBIkiSpb2aLXWDvvffmpJNOqroZkiRJqgHHwEuSJEk1YgIvSZIk1UjthtBExMnAyeXqfuVyZkQsLH9+ITPPH/KGSZIkSUOgdgk88H7gtLZtk8sC8L+ACbwkSZIaqXZDaDLzosyMbZQDqm6jJEmSNFhql8BLkiRJw5kJvCRJklQjJvCSJElSjZjAS5IkSTViAi9JkiTViAm8JEmSVCMm8JIkSVKNmMBLkiRJNWICL0mSJNWICbwkSZJUIybwkiRJUo1EZlbdhq4RES+OHj163JQpU6puiiRJkhrs4YcfZsOGDS9l5viBHmsC3yIiVgFjgdUVN0VD773l8pFKW6GqGP/hzfgPb8Z/eKsy/gcA6zJz0kAPNIGXgIi4DyAzD6+6LRp6xn94M/7Dm/Ef3uoaf8fAS5IkSTViAi9JkiTViAm8JEmSVCMm8JIkSVKNmMBLkiRJNeIsNJIkSVKN2AMvSZIk1YgJvCRJklQjJvCSJElSjZjAS5IkSTViAi9JkiTViAm8JEmSVCMm8JIkSVKNmMCr9iJifEScFRHXR8TjEbEhIl6JiGURcWZE9HqdR8SsiLghIl6KiNcj4r8jYn5E7LKNc50WEXdHxGvlOX4SER8ZvGenHRURn4qILMtZfdTxGmiQiPidiPhBRDwbEZvK5U0RcWIvdY19g0TE75exfrp8DVgZEYsiYmYf9Y1/zUTEKRFxZUTcHhHryv/tV2/nmEGPc0SMjoivRMTPI2JjRKyNiO9HxJSdeb7blZkWS60LcA6QwC+Aa4CLgX8BXi63X0t507KWYz4KvAm8Bvwz8DXgkbL+oj7O8w/l/qeAy4B/BF4st32m6t+D5W2x+vUy/q+W8TmrlzpeAw0qwBfLODwPfBv4e+Aq4B7gq8a+uQW4tIzDC8C3gEvK//tvAFuATxr/+hdgRfn7fhV4uPz56m3UH/Q4A7sBy8r995TX4neBzcB64KhB+31UHRCLZWcLcBzwB8CItu37AU+Wf1h/2LJ9LLAW2AQc0bL9V4DlZf0/bnusWeX2x4F9WrYfUP5xbwQOqPp3YUmAAP4TeKL8h/2OBN5roFkFOLWMzY+BPXvZv6uxb2Yp/8+/BTwH7Nu279gybiuNf/1LGc+Dyv/xc9hGAj9UcQb+ujxmES05CMWbhwR+Rltu0qniEBrVXmbekpn/nplb2rY/B/xTuTqnZdcpwATge5l5b0v9jRS9eACfbjvNOeXy7zLzly3HrKZ4h74bcMbOPRN1yLkUb+rOoOgB6Y3XQEOUQ+QuBV4HPpGZr7bXyczNLavGvlneQzEc+K7MXNu6IzNvpeitndCy2fjXVGbempmPZZkhb8egxzkiouWYC1pzkMxcAtwOvA84ph/tHTATeDVdzwv3my3bjiuX/9FL/aUUicCsiNitn8f8qK2OKlKOObwEuCIzl26jqtdAc8wCJgE3AL8sx0JfGBF/1cf4Z2PfLI9RDJWZHhG/2rojImYDe1J8ItfD+A8PQxHn3wAmAo9m5qp+HtMxJvBqrIgYCfxZudr6B/mb5fLR9mMy801gFTASmFw+zh7Au4HXMvPZXk71WLk8uAPN1g4q4/0dimFTX9hOda+B5jiyXK4B7gd+SPEm7nJgeUTcFhGtPbDGvkEy8yXgQuDXgIci4qqIuDgivg/cRDGs6s9bDjH+w8NQxLnPc2zjmI4ZORgPKnWJS4CpwA2ZeWPL9r3K5St9HNezfe8drK9qfAn4AHB0Zm7YTl2vgebYt1yeQ/Gi/LvAXRRDKxYAH6IYnzqnrGfsGyYzL4+I1RSTF5zdsutxYGHb0BrjPzwMRZwrvTbsgVcjRcS5wOcovnH+qYEeXi77M86u1UDrq0MiYjpFr/uCzPxpJx6yXHoNdL+e6eACOCUzb87M1zLzZ8DHgKeBY/qaTrAXxr5mIuICillnFlIMa9gDOBxYCVwTEV8dyMOVS+PfbEMR5x09R7+YwKtxIuIvgCuAh4Bjy49YW/W8K96L3o1tq7e9+tt7F65B1DJ05lHgb/p5mNdAc/R82WxlZv5X647yk5ieT9+ml0tj3yARMYfiS8z/lpmfzcyVmfl6Zt5P8QbuGeBzETG5PMT4Dw9DEeeBnqOjTODVKBExH/gG8CBF8v5cL9V+Xi7fMS6tTAYnUXzpdSVAZq6neBEYExH79/J4B5XLvsbBaXCNoYjlFGBjy82bEvhyWeeb5bbLy3WvgeboieXLfezvSfBHt9U39s3Qc4OdW9t3ZObrwN0Uuc4Hys3Gf3gYijj3eY5tHNMxJvBqjIi4kOLGCysokve1fVS9pVye0Mu+2cDuwPLM3NTPYz7cVkdDaxPFTTp6Kw+Udbdd4ZgAAATsSURBVJaV6z3Da7wGmmMpxQvxQRExqpf9U8vl6nJp7JulZxaRCX3s79n+Rrk0/sPDUMT5CYpJEw6OiEn9PKZzBmNyeYtlqAvF0IkE7gXGbafuWIq7NXojj4YX4CL6vpGT10BDCnB1GZu/bdv+exR34nwZ2NvYN68AHy9j8xzw7rZ9Hy7jvwEYb/ybU+jfjZwGPc5UeCOnKE8k1VZEnEbx5aW3gCvpfbzZ6sxc2HLMyRRfetoIfA94CTiJYlqoa4GPZ9sfR0QsAD5L8aW4a4FRwB8B44G/zMxvdPJ5aedFxEUUw2jOzsxvte3zGmiIiNgXuAM4kOLmKXdTzELzMYoX0U9k5qKW+sa+Icobed1IMfvQq8D1FMn8FIrhNQHMz8wrWo4x/jVUxu3kcnU/ihmmVlL8zQO8kJnnt9Uf1DiX88jfQpH83wvcTDE3/KkUn/ocl5l3deDpv1PV76Islp0t/H8v67bKT3o57rcpb/5C0UPzP8B5wC7bONdpwD0Ud/h8FbgN+EjVvwPLdq+Ns/rY7zXQkAKMA75OMZXkGxQ9ZkuAGca+2QXYFZgP3AmsoxhStZbingAfNP7NKP14rV9dRZwpvl/zFYp53zdR9PwvAt43mL8Pe+AlSZKkGvFLrJIkSVKNmMBLkiRJNWICL0mSJNWICbwkSZJUIybwkiRJUo2YwEuSJEk1YgIvSZIk1YgJvCRJklQjJvCSJElSjZjAS5IkSTViAi9JkiTViAm8JOkdIuL0iMiIOL3qtkiS3m5k1Q2QJA2uiMgBHnLGoDREktQRJvCS1Hxf6WXbfGAv4Arg5bZ9K4BVwJ3As4PbNEnSQEXmQDtmJEl1FxGrgfcAkzJzdbWtkSQNhGPgJUnv0NcY+IhYXZYxEXFZRDwVERsiYkVEnFzWGRkRX4iIxyJiY0Q8ERGf2ca5PhQRN0TECxGxqaz/tYjYe5CfpiTVkkNoJEkDtSvwY2AcsAQYBfwJ8IOI+CAwDzgK+BGwCTgVuDIins/Mf219oIj4EsUQn5eAHwJrgUOA84ETI2JmZq4bkmclSTVhAi9JGqh3AfcDczJzE0BEfAdYCiwCngCmZubL5b6vA48Anwe2JvARcSxF8v5T4MSe+uW+04Fvl/vPG/ynJEn14RAaSdKOmN+TvANk5u0UX3zdB7iwNRnPzJXAHcC0iNil5THOLZdnt9Yvj1lI8WXaPx2c5ktSfdkDL0kaqJcz84letv8CmATc18u+Z4BdgP3KnwFmApuBUyPi1F6OGQVMiIjxmfnizjdbkprBBF6SNFCv9LH9TYDM7G3/m+Vy15Zt4yleh768nfONAUzgJalkAi9JqsorwIjMHFd1QySpThwDL0mqyp3APhHxW1U3RJLqxAReklSVy8rlNyPiXe07I2KPiJgxxG2SpK7nEBpJUiUy8+aI+DxwMfBYRNxAMZPNGIq7xB4DLANOqK6VktR9TOAlSZXJzEsj4g6KKSWPBj5KMTb+GeAq4LsVNk+SulJkZtVtkCRJktRPjoGXJEmSasQEXpIkSaoRE3hJkiSpRkzgJUmSpBoxgZckSZJqxARekiRJqhETeEmSJKlGTOAlSZKkGjGBlyRJkmrEBF6SJEmqERN4SZIkqUZM4CVJkqQaMYGXJEmSasQEXpIkSaoRE3hJkiSpRkzgJUmSpBoxgZckSZJq5P8AwVjgTylkz/8AAAAASUVORK5CYII=\n", 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