{ "cells": [ { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# DS 2500 Day 15\n", "\n", "Mar 3, 2023\n", "\n", "\n", "## Content:\n", "Regression \n", "- like a classifier, but predicts a continuous feature instead of a nominal one\n", "\n", "## Admin:\n", "- project teams:\n", " - if your team was matched, one person should send a note to all others to set a first meeting\n", " - if your team hasn't yet been created:\n", " - see note on piazza\n", " - email Alex when you've got team members\n", "- project mentors:\n", " - each team will be assigned one TA mentor, we hope to have this done for you the monday we're all back from break\n", " - our TAs pick which projects they'd like to support, so you all get a mentor who's interested in your project!\n", "\n", "#### Data Credit:\n", "The blue bike data was collected and cleaned by Piotr Sapiezynski (https://www.sapiezynski.com/) https://www.bluebikes.com/system-data" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Regression: Motivation\n", "### How many people use Boston's bike sharing on a hot (or cold) day?" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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trip_counttempwindrain
date
2019-10-011218369130
2019-10-02907166111
2019-10-03114965490
2019-10-041176760160
2019-10-0593155690
\n", "
" ], "text/plain": [ " trip_count temp wind rain\n", "date \n", "2019-10-01 12183 69 13 0\n", "2019-10-02 9071 66 11 1\n", "2019-10-03 11496 54 9 0\n", "2019-10-04 11767 60 16 0\n", "2019-10-05 9315 56 9 0" ] }, "execution_count": 1, "metadata": {}, "output_type": "execute_result" } ], "source": [ "import pandas as pd\n", "\n", "df = pd.read_csv('bluebike_201910.csv', index_col='date')\n", "df.head()" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "image/png": 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g1s0ivd0MAAAAryNxBOAWs9nCaBwAAEANQeIIwGVJ+05rQcIBZWTn265FhgVpQI941v8BAAD4IDbHAXyE2WzR3sMZ2rD7pPYezpDZbKmQOEn7TuujJbvskkZJysjO10dLdilp3+kKiQsAAADvYcQR8AGVNQJoNlu0IOGA0zKfJRxQx/h6TFsFAADwIYw4AtVcZY4A7j+aWSLO5dKz87X/aKbHYgIAAMD7SByBaqysI4CemraameM8aXS1HAAAAKoHEkegGqvsEcCIkCCPlgMAAED1QOIIVGOVPQLYskmEIsOcJ4VRYcVHcwAAAMB3kDgC1VhljwAajQYN6BHvtEz/HvFsjAMAAOBjSByBaswbI4CdWtXXyD7XlIgbFRakkX2u4RxHAAAAH8RxHEA1Zh0B/GjJrlLLVMQIYKdW9dUxvp72H81UZk6+IkKKk1NGGuGM2WyhzwAAUE2ROALVnHUE8PJzHKPCgtTfw+c4XspoNKh1s8gKeTZ8T2WdNQoAACoGiSPgAxgBRFVmPWv0ctazRpniDABA1UfiCPgIRgBRFZX1rNGO8fX4ogMAgCqMzXEAuMVstmjv4Qxt2H1Sew9nyGy2eLtJqIIq+6xRAABQMRhxBOAy1quhrCr7rFEAAFAxGHEE4BLrerXLR5Gs69WS9p32UstQFVX2WaMAAKBikDgCKLOyrlfzlWmrTMctP2+cNQoAADyPqaoAysyV9WrVfaMepuN6hrfOGgUAAJ5VbRLHM2fOaO3atdq1a5d27typPXv2KD8/X126dNH8+fOd1jWZTJo7d66WLVumI0eOKCAgQK1bt9bAgQN11113Oa27e/duzZgxQ5s3b1ZWVpbq16+v22+/XSNGjFBUVFSViglUtJqyXo3jIzzLW2eNAgAAz6k2iePy5cs1adIkl+vl5+frscceU1JSkvz8/HT11VcrLy9PmzZt0qZNmzR06FA9++yzDuuuWrVKY8aMkclkUnR0tOLj45WSkqL58+drxYoV+uyzz9SkSZMqEROoDDVhvRrHR1SMTq3q69oWdZW4NU2nM/NUP6KW7ri+sfz9WTEBAEB1UG3+Hzs0NFQ33XSTnnjiCU2ZMkUjRowoU7133nlHSUlJaty4sb799lstW7ZMP/zwg6ZOnarAwEDNnDlTiYmJJeqdOnVKzz//vEwmk0aMGKGff/5ZX331lX7++WfdeuutOnPmjJ5++mlZLCXXPHkjJlAZasJ6NY6PqBhJ+07rhenrtTDxoBK3HtPCxIN6Yfp6NlMCAKCaqDaJ44MPPqjZs2drzJgxuvPOOxUdHX3FOmfPntXChQslSRMnTlTz5s1t97p3767HH39ckjRlypQSdWfNmqW8vDzdcMMNeuqpp+TvXzw4GxYWpnfffVdhYWHatWuXVq9e7fWYQGWxrldzprqvV6sp03ErEzvxAgBQ/VWbxNEdiYmJMplMiouLU7du3Urcf+ihhyRJv/32m44cOWJ3b+XKlZKkvn37lqhXp04d9erVS5L0/fffez0mUJms69UuH3mMCgvyibV/NWE6bmXy5k687IoLAIDnVJs1ju5ITk6WJHXq1Mnh/ZiYGDVu3FhpaWlKTk5W06ZNJUknTpzQqVOnJEk33HCDw7qdO3fWokWLtH37dq/HBCpbp1b11TG+nvYfzVRmTr4iQoqnp1bnkUYr63RcZ9NVq/t03MrkrZ142RUXAADP8unEMTU1VZJsyZkjTZs2VVpamlJSUkrUCwgIUIMGDRzWs25Qc/ToUZlMJgUEBHgtpjvYkKJy+PkZ7f7X11zT4spTxqujR3q20odf7ij1/sM9Wykw0K9CYvtan8nOM5W5nKfeS5v3Ot8Vd/SDHXRDa99JHn2tz6Di0WfgKvoMJB9PHM+fPy+peJpnaaz3srKybNcyMzNt9wwGxyMoERERkiSz2awLFy4oMjLSazFdZTQaFBkZ4lZduCc8vJa3mwAX3HXjVQoNCdKMr3fq3PmLtut1I2pp6P3X6KYOsRXeBl/pM00alv4uvLycJ95LRWaLFvyw32mZzxIOqHvXOPn5wAj5pXylz6Dy0GfgKvpMzebTiWN+fvEUJWcjc4GBgZKkixf/+OXQlXqXlvdWTFeZzRZlZeW6XR9l5+dnVHh4LWVl5amoyOzt5sAFbZrU0bsjb9a+IxnKvFCgiNBAtWoaKaPRoIyMnAqL62t9JjYyWFFhQUp3NvU3PEixkcEe+bnuSU23S/YdOZuZp43b09QmzjfOxfW1PoOKR5+Bq+gzvis8vFaZR5J9OnEMCirevMJkKn2qVEFBgSQpODjYrXqXlvdWTHcUFvIffWUqKjLzM6+m4htH2P5sNlsqbYMVX+oz/XvEO5w6arvfPd5jP9tzWc6TxkvL+crP18qX+gwqB30GrqLP1GwVljiuXr1aa9euldFo1J/+9CfdfPPNFRWqVOHh4ZL+mD7qiPWetaz0x1TS8+fPy2KxOJw6ap1aajQaFRoa6tWYAFCVWXfivXyzmqiwIPX38GY17IoLAEDFcDtxXLVqld566y3dfPPNmjBhgt29SZMmad68eba/z58/X4MGDdILL7zgfkvdEBcXp61bt+rw4cOllrEeiREXF2dXTyoe/Ttx4oRiY0uuZzp69KgkqXHjxnbTS70RE/AGs9nik7uqomJU1k687IoLAEDFcHtrpMTERB0/flydO3e2u/7bb79p7ty5slgsatiwoZo2bSqLxaI5c+Zo48aN5W6wK6677jpJ0tatWx3eP3XqlNLS0uzKSlJsbKzq1y/+BnzLli0O61qvX1rPWzGBypa077Sem7ZOb3+2TTOW7dbbn23Tc9PWcZA7nDIaDWrdLFLd2jZQ62aRFfJFg9Fo0IAe8U7L9O8Rz5ccAAC4yO3EcefOnZKkG2+80e764sWLJUl33nmnEhIStHLlSj388MOyWCz64osvytFU13Xv3l0BAQFKTU3Vhg0bStxfuHChJKlt27Zq1qyZ3b2ePXtKksM2nz9/XitWrJAk9erVy+sxgcqUtK/4qIPLR3SsRx2QPMLbrFNjI8Psp6NGhQVpZJ9rOMcRAAA3uJ04pqeny8/PT/Xq1bO7vnbtWhkMBg0dOlRGY/Hjn3jiCUlScnKy+y11Q926ddWvXz9J0vjx43Xo0CHbvcTERM2aNUuSNHLkyBJ1hwwZouDgYG3evFnvv/++ioqKJEnZ2dkaO3assrOz1bZtW91xxx1ejwlUFrPZogUJB5yW+SzhQKVtIAOUplOr+npn+E16vn9HDftrWz3fv6PeHn4TSSMAAG4yWCwWt37Du+aaaxQSEmI3/TQjI0M33nij6tSpU2JaaseOHVVUVKQdO0o/VNuZEydOqHfv3ra/FxQUKDc3V/7+/nYbxTz++OMaOnSo7e8XL17UoEGDtG3bNvn5+Sk+Pl65ubm2dYaDBw8ude3lihUrNHbsWBUWFio6OloNGjRQSkqKcnNzVbduXS1YsKDEqKG3YrqiqMis9PSKO04Af/D3NyoyMkQZGTk+sQvZ3sMZevuzbVcs93z/jmrdzL1zRms6X+szqHj0GbiKPgNX0Wd8V1RUSMUfx1G7dm1lZ2fLZDLZNmpJSkqS5HgNXnk3cykqKrLtKnqpwsJCu+uXno0oFR95MW/ePM2ZM0fffPONUlNTFRAQoC5duuiRRx6xTQ91pFevXmrSpImmT5+uLVu2aP/+/apfv74eeOABjRgxQtHR0Q7reSMmUBkyc8p2fmhZywEAAKB6cDtxbN68ubZv366ffvpJPXr0kCR9//33MhgM6tSpk13ZvLw8ZWdnq0mTJm43tHHjxtq3b59bdQMDAzVs2DANGzbM5brt2rXTBx98UC1iAhWNow4AAABqJrcTxzvvvFPJycl66aWXdOjQIZ05c0bfffedjEaj7r77bruyO3fulMViUePGjcvdYADew1EHAAAANZPbm+M88sgjatWqlTIzM/Xee+9p/vz5slgseuSRR0qMLK5atUoGg6HE0R0AqheOOgAAAKiZ3B5xDAoK0oIFCzR37lwlJycrLCxMt99+u+699167cgUFBdq8ebMaNmyoW265pdwNBuCY2Wyp8MPVpT+OOliQcMBu5DEqLEj9e8SzayUAAIAPcntXVVRf7KpaeSprF7KkfadLJHKRYUEaUIGJXGUlqjUNO9fBVfQZuIo+A1fRZ3xXpeyqCqBqSNp3Wh8t2VXiekZ2vj5asqvCDjw3Gg0cuQEAAFBDeCxxvHDhgnbv3q1z585JkqKjo9W2bVu7MxYBeJbZbNGChANOy3yWcEAd4+sxGggAAAC3lTtx3LNnj95//3398ssvMpvth66NRqNuvfVWPfnkk2rbtm15QwG4zP6jmU53OJWk9Ox87T+ayeggAAAA3Ob2rqqStHjxYv3973/XTz/9pKKiIlksFrt/ioqKtGbNGvXt21dffvmlp9oM4P/LzHGeNLpaDgAAAHDE7RHHHTt26OWXX5bZbFazZs30+OOPq1u3boqJiZEknTp1Shs2bNDs2bN16NAhvfLKK2rZsqU6dOjgscYDNV1ESJBHywEAAACOuD3iOH36dJnNZnXp0kXLli3T3//+dzVp0kSBgYEKDAxUkyZN9Pe//11ff/21unbtKrPZrOnTp3uy7UCN17JJhCLDnCeFUWHFO54CAAAA7nI7cUxKSpLBYNCrr76qoKDSf3ENDAzUK6+8YqsD1BRms0V7UtP109Y07UlNl9ns+ZNvjEaDurZxvmNqlzb12RgHAAAA5eL2VNW8vDyFhoaqefPmVyzbokULhYWF6eLFi+6GA6qVyjpX0Wy2aOOe007LbNpzWg/++WqSRwAAALjN7RHHhg0bKj8/v8ROqo4UFRUpPz9fDRo0cDccUG1Yz1W8fLdT67mKSfucJ3qucGVXVQAAAMBdbieOd955p0wmkxISEq5YNiEhQQUFBerZs6e74YBqoaznKnpq2mpN21XVbLZo7+EMbdh9UnsPZ1TI9F8AAACU5PZU1X/+85/64Ycf9PLLL6tOnTrq2rWrw3KbN2/WK6+8oubNm2vYsGFuNxSoDir7XMWatKtqZU3/BQAAQEluJ44//PCDHnroIX300UcaNGiQrr/++hLHcWzcuFFJSUkKCwtTv3799MMPPzh8Vu/evd1tBlClVPYIoHVXVWfJqi/sqmqd/ns56/TfkX2uIXkEAACoQG4njuPGjZPBULzZhsVi0datW7V169YS5SwWi7Kzs/Xmm286fI7BYCBxhM+o7BFAo9GgAT3iHSZVVv17xFfrjXHKOv23Y3y9av05gerAbLZo/9FMZebkKyKk+Esp/rsDgJrB7cQxNjbWk+0AfII3RgA7taqvkX2uKTGNMyosSP19YBpnZU//BeAY08UBoGZzO3FMTEz0ZDsAn+CtEcBOreqrY3w9nxwJqGkbAAFVEdPFAQBuJ44Aqhaj0eCTI241aQMgoCpiujgAQCrHcRwASqrs4zhqAuv0X2d8YQMgoKrivFgAgETiCHgUv2B5ntFoUNc2zqfAdWlTn5EOoIIwXRwAIJVxquqUKVMkSZGRkXr44Yftrrlq1KhRbtUDqgN+wfI8s9mijXtOOy2zac9pPfjnq0kegQrAdHEAgORC4mgwGHTVVVfZJY7W4zhcQeIIX8YvWJ7HrqqAd9WU82IBAM6VKXG84YYbJNkfwWG9BuAP/ILleYziAt5VE86LBQBcWZkSx/nz55fpGlDT8QuW5zGKC3ifr58XCwC4Mo7jADyMX7A8i1FcoGrw5fNiAQBX5nbi+Oijj8pgMOj1119X06ZNPdkmoNqz/oL1+/HzMlkMCjBY1CK2Dr9guYFRXKDq8NXzYgEAV+Z24rh161b5+/uTNAKlMBoNahMXpcjIEGVk5Kiw0OztJlVbjOICQPVkNlsYpQZ8hNuJY3R0tHJzcz3ZFgAoFdPkAKB6Sdp3usQXfpFhQRrAF35AtWR0t2Lnzp114cIFpaamerA5AFA66zS5bm0bqHWzSJJGAKiikvad1kdLdpVYn56Rna+PluxS0j7n5/MCqHrcThyHDBkiPz8/vfnmm7JYLJ5sEwAAAKops9miBQkHnJb5LOGAzGZ+fwSqE7cTx7Zt22ry5MnatGmT+vfvrx9++EFnz54liQQAoJKYzRbtSU3XT1vTtCc1nV/EUSXsP5rpdCdsSUrPztf+o5mV0yAAHuH2Gsc2bdrY/rx9+3Y9+eSTV6xjMBi0e/dud0MCAID/j/VjqKoyc5wnja6WA1A1uD3iaLFY3PoHAACUD+vHUJVFhAR5tByAqsHtEcd58+Z5sh0AAKAMyrp+rGN8PTaQgle0bBKhyLAgp9NVo8KKd8YGUH24nTh26dLFk+0AAABl4Mr6sdbNIiupVcAfjEaDBvSI10dLdpVapn+PeL7YAKoZt6eqAgCAysf6MVQHnVrV18g+1ygyzH46alRYkEb2uYZ1uEA15PaIY/fu3RUdHa0vvviiTOUHDBig06dPKyEhwd2QAADUeKwfQ3XRqVV9dYyvp/1HM5WZk6+IkOLpqYw0AtWT24njsWPHlJ9f9m8zT548qRMnTrgbDgAAiPVjqF6MRgNTpgEfUWlTVYuKimQ0MjMWAIDysK4fc4b1YwAAT6uUTO7ixYs6d+6cQkJCKiMcAAA+jfVjAIDKVuapqsePH9exY8fsrplMJm3ZsqXU8xktFouysrL0zTffqLCwUC1btixfawEAgKQ/1o/9fvy8TBaDAgwWtYitw0gjAKBClDlx/Oqrr/TRRx/ZXcvKytLAgQOvWNdischgMKhfv36utxAAADhkNBrUJi5KkZEhysjIUWGh2dtNAgD4KJc2x7l0ZNFgMJQ60nhpmdDQUMXHx+uhhx7Sfffd514rAQAAAABeU+bEcdSoURo1apTt761bt1bdunX166+/VkjDAAAAAABVg9vHcfTu3VthYWGebAsAAAAAoApyO3F88803PdkOAAAAAEAVxcGKAAAAAACnSBwBAAAAAE6ROAIAAAAAnHJ7jWN1k5GRodmzZ2v16tVKS0uTyWRSVFSUOnbsqIEDB6pz584O6+Xk5GjGjBlauXKljh8/rtq1a+vaa6/V4MGD1bVrV6cxN2zYoNmzZ2v79u3Kzc1VbGysevXqpWHDhql27dql1itPTAAAAADwNIPlSocx+oDU1FQ98sgjOnPmjIxGoxo1aqTQ0FAdOXJEOTk5MhgMGjdunAYNGmRXLz09XQMGDFBKSooCAwN19dVXKz09XSdPnpTBYNDLL7+shx9+2GHM+fPna+LEibJYLGrQoIGioqJ08OBBFRQUqEWLFlqwYIEiIiJK1CtPzLIqKjIrPT2nXM9A2fj7GzmYGy6hz8BV9Bm4ij4DV9FnfFdUVIj8/Mo2CbVGTFX997//rTNnziguLk7ffPONEhIS9PXXX2v9+vUaPHiwLBaL3nnnHaWmptrVGz9+vFJSUtSuXTslJCRoyZIlWrNmjSZMmCCLxaKJEydqz549JeLt2rVLb7zxhiRpwoQJWrNmjZYsWaKEhAS1a9dOv//+u15++WWHbXU3JgAAAABUlDIljnv37tXvv/9e0W2pEBcuXNDGjRslSc8995yuvvpq272goCA9//zzatasmQoLC/Xrr7/a7u3evVuJiYkyGo167733FBMTI0kyGAzq16+f7r//fhUVFWnq1KklYk6dOlVms1n333+/+vXrJ4PBIEmKiYnR5MmTZTQatWrVKu3du9euXnliAgAAAEBFKVPi2Lt37xLTOP/1r39p0qRJFdEmjyooKJB1Nm7Tpk1L3DcYDGrSpIkkqbCw0HZ95cqVkqRu3bqpWbNmJer169dPkvTTTz8pNzfXdj0nJ0e//PKLJKlv374l6sXFxalbt26SpBUrVtjdczcmAAAAAFSkMk9VvXwp5JIlS7R8+XKPN8jToqKi1KBBA0nStm3bStzPzc21jfy1b9/edj05OVmSSt00p0OHDgoMDFR+fr7d1NE9e/aooKBAgYGB6tChg8O6nTp1kiRt377d7rq7MQEAAACgIpUpcQwKClJOTvXdTGXs2LEyGAx6++23tWjRIp05c0Z5eXnasWOHhg8frrNnz+qvf/2rLaGTZFvv6GiUUpICAgLUsGFDSVJKSortuvXPsbGxCggIcFjX+sxL65UnJgAAAABUpDIdx9GoUSOlpKRo5cqV6tmzZ0W3yeP++te/KiwsTNOmTdNLL71kd69evXp69dVX9dBDD9ldP3/+vCSpTp06pT7Xei8rK8utetay5Y3pDn//GrEvktdZd6kq625VAH0GrqLPwFX0GbiKPgOpjInjXXfdpY8//lhPP/20IiIibGcQZmRkqHv37mUOZjAYlJCQ4F5Ly+nw4cM6d+6cjEajGjZsaDuO48yZM1qyZIk6deqkli1b2srn5+dLUqmjhpIUGBgoSbp48aJb9axlyxvTVUajQZGRIW7Xh+vCw2t5uwmoZugzcBV9Bq6iz8BV9JmarUyJ4z//+U/t3btXa9asUUZGhjIyMiRJRUVFOnbsWJmDWXcXrWyvvfaaFixYoPbt22vWrFm66qqrJBUnXx988IE++eQT9e/fX8uWLVOjRo0kFU/PzcvLk8lkKvW5BQUFkqTg4GDbtaCgIEkqUz1r2UvruhPTVWazRVlZbK5TGfz8jAoPr6WsrDwVFXHuEa6MPgNX0WfgKvoMXEWf8V3h4bXKPJJcpsQxODhYH3/8sQ4dOqT9+/crLy9P//rXvxQWFqYXX3yxXI2taHv37tVnn32mgIAAvf/++7bEUCr+XM8//7x2796t9evXa/r06ZowYYIkKTw8XHl5eSWmk17Kei88PNx2rbRpqI7qXT4l1d2Y7uDw1spVVGTmZw6X0GfgKvoMXEWfgavoMzVbmRJHq+bNm6t58+aSio/jCAoKUp8+fSqkYZ6SlJQki8WiZs2a2SWNl7r55pu1fv167dq1y3YtLi5Op06d0uHDhx3WMZlMOn78uK3spfUk6fjx4zKZTA6nnR45cqREvfLEBAAAAICK5PYK11GjRmnw4MGebEuFcGU3WOs0UEm67rrrJBUnno7s2LFDJpNJQUFBatOmje16mzZtFBAQoIKCAu3YscNhXeszrTHKGxMAAAAAKpLPJ47W9YyHDx8udT3m2rVr7cpKsu0eu3HjRocjgJ9//rkk6bbbblNIyB8bzYSGhuqWW26RJH3xxRcl6qWmpmrDhg2SpF69etndczcmAAAAAFQkj+2pe+DAAS1ZskSzZs3SrFmztGTJEh08eNBTj3fbzTffrOjoaJlMJj311FN25x9evHhRb7/9ttavXy9Juv/++2332rVrp9tvv11FRUV65plndPr0aUmSxWLR559/rqVLl8poNGr48OElYo4YMUIGg0FLly7V559/LovFIkk6ffq0xowZI7PZrB49eqh169Z29coTEwAAAAAqisFizWrc9Msvv+idd97RgQMHHN5v2bKlnnvuOdsonDesW7dOI0eOVG5uroxGo2JjYxUSEqIjR44oLy9PkvTwww/rlVdesauXnp6u/v37KzU1VYGBgbr66quVkZGhEydOyGAwaPz48Ro4cKDDmHPmzNGbb74pi8Wihg0bKjIyUgcPHlRBQYGuuuoqLViwQFFRUSXqlSdmWRUVmZWeXvYpvHCfv79RkZEhysjIYTE5yoQ+A1fRZ+Aq+gxcRZ/xXVFRIWXeVbVcieP//d//6Y033pDFYpHFYpGfn58iIyMlSZmZmSosLCwOYjDopZde0sMPP+xuqHI7evSo5syZo3Xr1un48eMqKipSRESEOnTooL59++rPf/6zw3oXLlzQzJkztWLFCh0/fly1a9dWhw4dNGTIEHXr1s1pzPXr1+vTTz/Vjh07lJubq9jYWPXq1UvDhg1zOtW0PDHLgsSx8vCihavoM3AVfQauos/AVfQZ31UpiePevXv1wAMPyGw269prr9XIkSPVrVs32wH1BQUF2rBhg6ZOnark5GT5+flp8eLFJaZnovKROFYeXrRwFX0GrqLPwFX0GbiKPuO7XEkc3V7jOHv2bJnNZt1+++1asGCBbrvtNlvSKEmBgYG67bbb9N///te2bm/u3LnuhgMAAAAAeInbiePmzZtta+78/PxKLefn56cXX3xRUvFuoQAAAACA6sXtxPHs2bMKCwtT48aNr1i2SZMmCg8P19mzZ90NBwAAAADwErcTx+DgYOXl5dk2wHGmsLBQeXl5Cg4OdjccAAAAAMBL3E4cmzdvrsLCQq1cufKKZVesWCGTyaTmzZu7Gw4AAAAA4CVuJ469evWSxWLRa6+9pvXr15dabt26dXrttddkMBh09913uxsOAAAAAOAl/u5WHDBggBYvXqwDBw5o8ODBuu6663TTTTcpJiZGknTy5EmtX79eycnJslgsio+PV//+/T3WcAAAAABA5XA7cQwMDNSsWbM0evRo7dixQ9u2bVNycrJdGesRkddee60++OADu+M6AAAAAADVg9uJoyTFxMRo4cKFWrFihb7//nvt2rVL586dkyRFR0frmmuu0T333KOePXvKaHR7ViwAAAAAwIvKlThKktFo1D333KN77rnHE+0BAAAAAFQxDAMCAAAAAJwicQQAAAAAOEXiCAAAAABwisQRAAAAAOAUiSMAAAAAwCkSRwAAAACAUySOAAAAAACnSBwBAAAAAE75u1txypQpkqS//e1vatiwoccaBAAAAACoWtxOHD/66CP5+fnpiSee8GR7AAAAAABVjNuJY2RkpIqKihQQEODJ9gAAAAAAqhi31zi2bt1a2dnZysjI8GR7AAAAAABVjNuJY79+/WQ2mzVnzhwPNgcAAAAAUNW4PVW1Z8+eeuyxxzRjxgyZTCY9/vjjioqK8mTbAAAAAABVgNuJ46OPPipJqlWrlmbPnq25c+eqadOmio6OltHoeCDTYDBo7ty57oYEAAAAAHiB24njpk2b7P5eVFSklJQUpaSklFrHYDC4Gw4AAAAA4CVuJ46jRo3yZDsAAAAAAFUUiSMAAAAAwCm3E0cAVYvZbNH+o5nKzMlXREiQWjaJkNHI9HAAAACUH4kj4AOS9p3WgoQDysjOt12LDAvSgB7x6tSqvhdbBgAAAF9Q7sQxLy9PixYt0q+//qrjx4/r4sWLSkhIsN3Pzs7WmjVrZDAYdO+995Y3HIDLJO07rY+W7CpxPSM7Xx8t2aWRfa4heQQAAEC5lCtx3LNnj0aMGKGTJ0/KYrFIKrlzamhoqKZNm6aUlBRFR0frxhtvLE9IAJcwmy1akHDAaZnPEg6oY3w9pq0CAADAbY4PXCyDjIwMDRs2TCdOnFDbtm31wgsvKDQ0tEQ5g8GgBx98UBaLRYmJieVqLAB7+49m2k1PdSQ9O1/7j2ZWToMAAADgk9xOHOfMmaMzZ87oxhtv1KJFi/TYY48pODjYYdk//elPkqTk5GR3wwFwIDPHedLoajkAAADAEbcTx9WrV8tgMOi5556T0ej8Mc2bN5e/v7+OHDnibjgADkSEBHm0HAAAAOCI24nj0aNHFRAQoDZt2lyxrMFgUGhoqHJyctwNB8CBlk0iFBnmPCmMCis+mgMAAABwl9uJo8VikZ+fX4nNcEorm5ubq1q1arkbDoADRqNBA3rEOy3Tv0c8G+MAAACgXNxOHGNiYnTx4kWdO3fuimV37typgoICNW7c2N1wAErRqVV9jexzTYmRx6iwII7iAAAAgEe4fRxHly5ddOTIES1evFjDhg1zWnbKlCkyGAy66aab3A0HwIlOreqrY3w97T+aqcycfEWEFE9PZaQRAAAAnuD2iOOjjz4qg8Gg6dOna926dQ7LnD17VmPHjtXPP/+sgIAAPfzww243FIBzRqNBrZtFqlvbBmrdLJKkEQAAAB7j9ohjfHy8nnnmGb377rsaMmSI2rRpo+zsbEnS2LFjdezYMf32228qLCyUJI0fP16xsbGeaTUAAAAAoNK4nThK0tChQxUREaG3335bu3fvtl3/7rvvZLFYJEnh4eF68cUX1bt373I1FAAAAADgHeVKHCXp73//u+655x6tWrVKW7du1enTp1VUVKR69erp+uuvV69evRQWFuaJtgIAAAAAvKDciaMkhYSEqE+fPurTp48nHgcAAAAAqELc3hwHAAAAAFAzeGTEUZIOHDigXbt22c51jI6O1jXXXKP4eOeHkwMAAAAAqrZyJ46rV6/W5MmTdfDgQYf3r776aj399NPq3r17eUMBAAAAALygXFNVp0yZohEjRujAgQOyWCzy8/NTdHS0oqOj5efnJ4vFogMHDmjUqFH68MMPPdVmAAAAAEAlcnvE8eeff9aUKVMkSTfccIOGDx+uzp07KzAwUJJUUFCgLVu26OOPP9amTZs0depUXXfddbr11ls903IAAAAAQKVwe8Rxzpw5kqRevXpp3rx5uummm2xJoyQFBgbqpptu0ty5c9WrVy9ZLBZbHQAAAABA9eF24rhr1y4ZDAb961//ksFgKLWcwWDQuHHjJEk7d+50NxwAAAAAwEvcThxNJpPCw8MVExNzxbINGjRQnTp1ZDKZ3A0HAAAAAPASt9c4Nm7cWCkpKSooKLCboupIQUGBcnJy1Lx5c3fDecxPP/2kRYsWKTk5WZmZmapTp46aNGmirl27avTo0fL3t/+RmEwmzZ07V8uWLdORI0cUEBCg1q1ba+DAgbrrrrucxtq9e7dmzJihzZs3KysrS/Xr19ftt9+uESNGKCoqqtR65YkJAAAAAJ7m9ojjfffdp8LCQi1duvSKZZcuXarCwkLde++97oYrt8LCQj333HMaNmyYfvjhB/n7+6t169aqVauWdu3apY8//lj5+fl2dfLz8/WPf/xD77zzjg4ePKimTZsqIiJCmzZt0ujRo/U///M/pcZbtWqV+vbtq++//14Wi0Xx8fFKT0/X/Pnz9de//lVHjx51WK88MQEAAACgIrg94vjYY4/pp59+0n/+8x/5+/urT58+Dst9/fXX+s9//qPOnTtr8ODBbje0vF599VUtW7ZM7du314QJE9S2bVvbvby8PK1bt67EyOk777yjpKQkNW7cWDNnzrSNmP744496+umnNXPmTF1//fW644477OqdOnVKzz//vEwmk0aMGKGRI0fK399f2dnZeuaZZ/TLL7/o6aef1pdffllifai7MQEAAACgohgsFovlSoWsx25czmQyacGCBbpw4YIaNmyoLl262NY8njp1Sps2bdKJEycUFham/v37KyAgQKNGjfLsJyiDDRs26B//+IcaNWqkZcuWKTQ09Ip1zp49qz//+c+2aaPdunWzu//+++9r6tSpateunb766iu7exMnTtS8efN0ww036P/+7//s7p0/f17du3dXdna2pk2bZpcAliemK4qKzEpPz3G7PsrO39+oyMgQZWTkqLDQ7O3moBqgz8BV9Bm4ij4DV9FnfFdUVIj8/Mo2CbVMI45TpkxxunOqxWLR8ePHS0xbteak2dnZmjFjhiR5JXGcPXu2JGnw4MFlSholKTExUSaTSXFxcSUSOEl66KGHNHXqVP322286cuSImjZtaru3cuVKSVLfvn1L1KtTp4569eqlRYsW6fvvv7dLHMsTEwAAAAAqSpkSxxtuuKGi21Fh8vPztXbtWknSjTfeqIMHD+rzzz/X77//rsDAQLVp00YPPvigGjVqZFcvOTlZktSpUyeHz42JiVHjxo2Vlpam5ORkWxJ34sQJnTp1SlLpP7fOnTtr0aJF2r59u0diAgAAAEBFKlPiOH/+/IpuR4XZu3ev7RiQpKQkTZgwwe5YkNWrV2vWrFmaNGmS3eY9qampkuQ0OWvatKnS0tKUkpJSol5AQIAaNGjgsF6TJk0kSUePHpXJZFJAQEC5YrrD39/tfZHgAuvQf1mnAAD0GbiKPgNX0WfgKvoMpHJsjlNdnDlzxvZn66Y4L730klq3bq0TJ07ovffe0/fff69x48apefPmtk1zzp8/L6l4amlprPeysrJs1zIzM233SpveGxERIUkym826cOGCIiMjyxXTVUajQZGRIW7Xh+vCw2t5uwmoZugzcBV9Bq6iz8BV9JmazecTx5ycPzaBCQ4O1syZM23JV7NmzTR58mSlpqZqz549+vjjj/XBBx9Iku1oDutooCPWXVgvXrxou+ZKvUvLlyemq8xmi7Kyct2uj7Lz8zMqPLyWsrLyVFTEYnJcGX0GrqLPwFX0GbiKPuO7wsNreXZznOosKCjI9uc+ffqUGM0zGo0aNGiQXnjhBf36668ym80yGo22epdOa71cQUGBpOKE9PJ4Zal3efvcjekOdsSqXEVFZn7mcAl9Bq6iz8BV9Bm4ij5Ts5U7cVy/fr2+++477du3T+fPn1dhYWGpZQ0GgxISEsob0iWXJootWrRwWMZ6VmJOTo4yMzMVFRWl8PBwSX9MH3XEes9a9tJ458+fl8VicThd1Tqd1Wg02u3y6m5MAAAAAKhIbieOhYWFeuGFF/Tdd99J+uPoDWecHelRUaxJoVT6FNBLR/3M5uJvUeLi4rR161YdPny41GcfOXLEVtbK+meTyaQTJ04oNja2RL2jR49Kkho3bmzXJndjAgAAAEBFcjtxnDlzppYvXy6p+HiJW265RdHR0fL3r1qzX2NiYtSoUSMdO3bMlrBdzno9KCjItnHNddddp6+++kpbt251WOfUqVNKS0uzlbWKjY1V/fr1dfr0aW3ZskV//etfS9TdsmVLiXrliYmyMZst2n80U5k5+YoICVLLJhEyGiv/ywwAAACgunE7y/v6669lMBj0z3/+U0899ZQn2+Rxd999t2bNmqVvvvlGo0aNKpHcfvnll5KKz1203uvevbtef/11paamasOGDerWrZtdnYULF0qS2rZtq2bNmtnd69mzp+bPn68vvviiROJ4/vx5rVixQpLUq1cvu3vliQnnkvad1oKEA8rI/mMzosiwIA3oEa9Orep7sWUAAABA1ef2YSwnTpyQwWDQsGHDPNmeCjFkyBCFhYUpLS1NEyZMsO1earFYNG/ePK1evbrEZ6lbt6769esnSRo/frwOHTpku5eYmKhZs2ZJkkaOHOkwXnBwsDZv3qz3339fRUVFkqTs7GyNHTtW2dnZatu2re644w67euWJidIl7Tutj5bssksaJSkjO18fLdmlpH2nvdQyAAAAoHowWMqyONGBP//5z8rNzdWmTZs83aYKsW7dOg0fPlwXL15UWFiY4uLidPLkSZ05c0YGg0HPPfechgwZYlfn4sWLGjRokLZt2yY/Pz/Fx8crNzfXts5w8ODBeuGFFxzGW7FihcaOHavCwkJFR0erQYMGSklJUW5ururWrasFCxY4HDUsT8yyKioyKz0958oFfYDZbNFz09aVSBovFRUWpLeH31Qh01b9/Y2KjAxRRkYOu5ChTOgzcBV9Bq6iz8BV9BnfFRUVUubjONwecezcubOys7N18uRJdx9RqW666SYtXbpUDzzwgEJCQrR3714VFhbqjjvu0Lx580okjVLxkRfz5s3T2LFj1aJFC6WmpiojI0NdunTRBx984DSB69Wrl7744gv17NlTkrR//35FRkbqkUce0bJly0qdalqemChp/9FMp0mjJKVn52v/0czKaRAAAABQDbk94rh//37169dPd9xxh959911PtwsVqCaNOG7YfVIzlu2+Yrlhf22rbm0beDw+39DBVfQZuIo+A1fRZ+Aq+ozvqpQRx5YtW+q9997Tzz//rMcff1wbN25Ubm6uu48DKkRESNCVC7lQDgAAAKiJynV2xq233qpHHnlE06ZN09q1a69Y3mAwaPfuK4/+AJ7SskmEIsOCrrjGsWWTiMprFAAAAFDNuD3imJeXp0GDBunjjz+WVLxDaVn+ASqT0WjQgB7xTsv07xHPeY4AAACAE26POE6fPl2bN2+Wn5+f7r33Xt1yyy2qW7eu/Pz8PNk+oNw6taqvkX2uKXGOY1RYkPpzjiMAAABwRW4njsuXL5fBYNCLL76ohx9+2JNtAjyuU6v66hhfT/uPZiozJ18RIcXTUxlpBAAAAK7M7cTx1KlT8vPz09///ndPtgeoMEajQa2bRXq7GQAAAEC14/Yax+joaNWqVUuBgYGebA8AAAAAoIpxO3G8+eabdeHCBR06dMiT7QEAAAAAVDFuJ44jRoxQWFiYJk6cKJPJ5Mk2AQAAAACqkHKd4zhx4kSNHz9eDzzwgB577DG1b99eISEhTuvExsaWJyQAAAAAoJK5nTh2797d9ufs7GyNHz/+inUMBoN2797tbkgAAAAAgBe4nThaLJZKqQMAAAAA8C63E8cff/zRk+0AAAAAAFRRbieOjRo18mQ7AAAAAABVlNu7qgIAAAAAagYSRwAAAACAU25PVf3666/dqte7d293QwIAAAAAvMDtxHHcuHEyGAwu1TEYDCSOAAAAAFDNuJ04xsbGOr1/4cIFZWVlSZJq1aqlyMhId0MBAAAAALzI7cQxMTHximVSU1M1bdo0rVixQs8++6zuueced8MBAAAAALzE7cSxLOLi4vTWW2/J399fL7zwgq666iq1adOmIkMCAAAAADysUnZVHT16tEwmk6ZPn14Z4QAAAAAAHlQpiWODBg0UHh6uzZs3V0Y4AAAAAIAHVehUVav8/HxduHBB/v6VEg4AAAAA4EGVMuK4ePFimc1mxcTEVEY4AAAAAIAHuT0EePz4caf38/PzdfLkSa1cuVKLFy+WwWBQjx493A0HAAAAAPAStxPH7t27l7msxWJRfHy8RowY4W44AAAAAICXuJ04WiyWMpVr2rSp/vKXv2jo0KGqXbu2u+EAAAAAAF7iduL4448/On+wv7/Cw8NVq1Ytd0MAAAAAAKoAtxPHRo0aebIdAAAAAIAqqlJ2VQUAAAAAVF8kjgAAAAAAp8o8VXXz5s0eCXjDDTd45DkAAAAAgMpR5sRx4MCBMhgM5QpmMBi0e/fucj0DAAAAAFC5XNocp6xHcAAAAAAAfEeZE8crHb/hSHp6uqZOnao1a9aQdAIAAABANVXmxNGV4zfy8vL06aefavbs2crJyZHFYlHz5s01ZswYtxoJAAAAAPAet89xdKSoqEgLFy7UtGnTdO7cOVksFjVo0ECjRo3SAw88IKORTVwBAAAAoLrxWOK4fPlyvf/++zp69KgsFovq1KmjoUOHauDAgQoKCvJUGAAAAABAJSt34vjrr79q8uTJ2rNnjywWi4KDg/XII49o2LBhCg8P90QbAQAAAABe5HbiuHPnTr377rvauHGjLBaL/Pz89MADD2jUqFGKiYnxZBsBAAAAAF7kcuJ4+PBhTZ48WatWrbLtlHrnnXfqmWeeUfPmzT3eQAAAAACAd5U5cTxz5oymTJmixYsXq7CwUJJ0ww036Nlnn9W1115bYQ0EAAAAAHhXmRPHO++8U/n5+bJYLGrdurXGjBmj2267rSLbBgAAAACoAsqcOF68eFEGg0EGg0FZWVl67bXXXA5mMBiUkJDgcj0AAAAAgPe4tMbRuqbx+PHjbgUzGAxu1QMAAAAAeE+ZE8dRo0ZVZDsAAAAAAFUUiSMAAAAAwCmjtxsAAAAAAKjaSBwBAAAAAE6ROAIAAAAAnCJxBAAAAAA45dJxHL7ip59+0rBhwyRJjRo1UmJiosNyOTk5mjFjhlauXKnjx4+rdu3auvbaazV48GB17drVaYwNGzZo9uzZ2r59u3JzcxUbG6tevXpp2LBhql27dqn1yhMTAAAAACpCjRtxzMnJ0auvvnrFcunp6frb3/6mjz/+WMeOHVOLFi0UFBSkNWvW6B//+If++9//llp3/vz5GjRokNasWaOgoCC1aNFCx44d07Rp0/Tggw8qMzPT4zEBAAAAoKLUuMTxvffe0/Hjx9W9e3en5caPH6+UlBS1a9dOCQkJWrJkidasWaMJEybIYrFo4sSJ2rNnT4l6u3bt0htvvCFJmjBhgtasWaMlS5YoISFB7dq10++//66XX37ZozEBAAAAoCLVqMQxOTlZ//3vf9W9e3f16NGj1HK7d+9WYmKijEaj3nvvPcXExEiSDAaD+vXrp/vvv19FRUWaOnVqibpTp06V2WzW/fffr379+slgMEiSYmJiNHnyZBmNRq1atUp79+71WEwAAAAAqEg1JnE0mUx6+eWXFRwcrFdeecVp2ZUrV0qSunXrpmbNmpW4369fP0nFayVzc3Nt13NycvTLL79Ikvr27VuiXlxcnLp16yZJWrFihUdiAgAAAEBFqzGJ4/Tp07V//3499dRTatCggdOyycnJkqTOnTs7vN+hQwcFBgYqPz/fburonj17VFBQoMDAQHXo0MFh3U6dOkmStm/f7pGYAAAAAFDRasSuqr///rumT5+udu3aaeDAgVcsn5qaKklq2rSpw/sBAQFq2LChDh8+rJSUFFsymJKSIkmKjY1VQECAw7rWZ1rLljemu/z9a8x3Bl7l52e0+1/gSugzcBV9Bq6iz8BV9BlINSBxtFgseumll1RYWKjXXntNfn5+V6xz/vx5SVKdOnVKLWO9l5WV5VY9a9nyxnSH0WhQZGRIuZ4B14SH1/J2E1DN0GfgKvoMXEWfgavoMzWbzyeOCxYs0NatWzVw4EC1b9++THXy8/MlqdRRQ0kKDAyUJF28eNGtetay5Y3pDrPZoqws1klWBj8/o8LDaykrK09FRWZvNwfVAH0GrqLPwFX0GbiKPuO7wsNrlXkk2acTx1OnTmny5MmKiYnR008/XeZ6QUFBysvLk8lkKrVMQUGBJCk4ONiunqQy1bOWLW9MdxUW8h99ZSoqMvMzh0voM3AVfQauos/AVfSZms2nJyq//vrrunDhgl566SWFhoaWuV54eLikktNJL2W9Zy0rlT4N1VG9y6ekuhsTAAAAACqaT4847t69W5L02muv6bXXXrO7Z53ueeLECd18882SpA8//FDXX3+94uLidOrUKR0+fNjhc00mk44fPy6p+IgNK+ufjx8/LpPJ5HDa6ZEjR0rUs/7dnZgAAAAAUNF8esTR6uzZsyX+uXDhgiTJbDbbrlmniV533XWSpKSkJIfP27Fjh0wmk4KCgtSmTRvb9TZt2iggIEAFBQXasWOHw7rWZ1pjWLkbEwAAAAAqmk8njomJidq3b5/DfyZNmiRJatSoke1a165dJUk9e/aUJG3cuNHhCODnn38uSbrtttsUEvLH7qShoaG65ZZbJElffPFFiXqpqanasGGDJKlXr15299yNCQAAAAAVzacTR3e1a9dOt99+u4qKivTMM8/o9OnTkoqP9vj888+1dOlSGY1GDR8+vETdESNGyGAwaOnSpfr8889lsVgkSadPn9aYMWNkNpvVo0cPtW7d2mMxAQAAAKAiGSzWzKaG+eqrr/Svf/1LjRo1UmJiYon76enp6t+/v1JTUxUYGKirr75aGRkZOnHihAwGg8aPH6+BAwc6fPacOXP05ptvymKxqGHDhoqMjNTBgwdVUFCgq666SgsWLFBUVJRHY7qiqMis9PSccj8HV+bvb1RkZIgyMnLYhQxlQp+Bq+gzcBV9Bq6iz/iuqKgQjuMor6ioKC1evFgzZ87UihUrdPDgQdWuXVu33XabhgwZom7dupVad9CgQWrVqpU+/fRT7dixQ+fOnVNsbKx69eqlYcOGlTrVtDwxAQAAAKCi1NgRx5qMEcfKwzd0cBV9Bq6iz8BV9Bm4ij7ju1wZcWSNIwAAAADAKRJHAAAAAIBTJI4AAAAAAKdIHAEAAAAATpE4AgAAAACcInEEAAAAADhF4ggAAAAAcIrEEQAAAADgFIkjAAAAAMApEkcAAAAAgFMkjgAAAAAAp0gcAQAAAABOkTgCAAAAAJwicQQAAAAAOEXiCAAAAABwisQRAAAAAOAUiSMAAAAAwCkSRwAAAACAUySOAAAAAACnSBwBAAAAAE6ROAIAAAAAnCJxBAAAAAA4ReIIAAAAAHCKxBEAAAAA4BSJIwAAAADAKRJHAAAAAIBTJI4AAAAAAKdIHAEAAAAATpE4AgAAAACcInEEAAAAADhF4ggAAAAAcIrEEQAAAADgFIkjAAAAAMApEkcAAAAAgFMkjgAAAAAAp0gcAQAAAABOkTgCAAAAAJwicQQAAAAAOEXiCAAAAABwisQRAAAAAOAUiSMAAAAAwCkSRwAAAACAUySOAAAAAACnSBwBAAAAAE6ROAIAAAAAnCJxBAAAAAA4ReIIAAAAAHCKxBEAAAAA4BSJIwAAAADAKX9vNwA1l9ls0f6jmcrMyVdESJBaNomQ0WjwdrMAAAAAXIbEEV6RtO+0FiQcUEZ2vu1aZFiQBvSIV6dW9b3YMgAAAACX8/nE0WKxaNu2bUpMTFRSUpIOHTqkCxcuKCwsTG3btlXv3r113333yWBwPNKVk5OjGTNmaOXKlTp+/Lhq166ta6+9VoMHD1bXrl2dxt6wYYNmz56t7du3Kzc3V7GxserVq5eGDRum2rVrl1qvPDGrg6R9p/XRkl0lrmdk5+ujJbs0ss81JI8AAABAFWKwWCwWbzeiIq1fv16DBg2y/b1JkyYKDw/XsWPHlJmZKUn685//rA8//FCBgYF2ddPT0zVgwAClpKQoMDBQV199tdLT03Xy5EkZDAa9/PLLevjhhx3GnT9/viZOnCiLxaIGDRooKipKBw8eVEFBgVq0aKEFCxYoIiKiRL3yxCyroiKz0tNzyvUMd5nNFj03bZ3dSOPlosKC9Pbwm3xi2qq/v1GRkSHKyMhRYaHZ281BNUCfgavoM3AVfQauos/4rqioEPn5lW3bG5/fHMdisahx48YaP3681q1bp4SEBH311VfauHGj3nrrLQUGBmrNmjV6//33S9QdP368UlJS1K5dOyUkJGjJkiVas2aNJkyYIIvFookTJ2rPnj0l6u3atUtvvPGGJGnChAlas2aNlixZooSEBLVr106///67Xn75ZYftdTdmdbH/aKbTpFGS0rPztf9oZuU0CAAAAMAV+Xzi2KFDB61YsUKPPvqooqOj7e717t1bI0eOlCR9+eWXMpv/+AZl9+7dSkxMlNFo1HvvvaeYmBhJksFgUL9+/XT//ferqKhIU6dOLRFz6tSpMpvNuv/++9WvXz/bNNiYmBhNnjxZRqNRq1at0t69e+3qlSdmdZGZ4zxpdLUcAAAAgIrn84ljaGioAgICSr1/2223SZIyMzOVnp5uu75y5UpJUrdu3dSsWbMS9fr16ydJ+umnn5Sbm2u7npOTo19++UWS1Ldv3xL14uLi1K1bN0nSihUr7O65G7M6iQgJ8mg5AAAAABXP5xPHK7l48aLtz8HBwbY/JycnS5I6d+7ssF6HDh0UGBio/Px8u6mje/bsUUFBgQIDA9WhQweHdTt16iRJ2r59u911d2NWJy2bRCgyzHlSGBVWfDQHAAAAgKrB53dVvZLly5dLklq3bq3Q0FDb9dTUVElS06ZNHdYLCAhQw4YNdfjwYaWkpNiSwZSUFElSbGxsqSOd1mday5Y3pjv8/b33ncEjPVvpwy93lHr/4Z6tFBjoV4ktqjjWxcZlXXQM0GfgKvoMXEWfgavoM5BqeOK4a9cuLVy4UJI0bNgwu3vnz5+XJNWpU6fU+tZ7WVlZbtWzli1vTFcZjQZFRoa4Xb+87rrxKoWGBGnG1zt17vwfI751I2pp6P3X6KYOsV5rW0UJD6/l7SagmqHPwFX0GbiKPgNX0WdqthqbOJ49e1ajR49WYWGh7rzzTv3lL3+xu5+fX7w5i7P1kdbjOy6d7upKPWvZ8sZ0ldlsUVaWd9dItmlSR++OvFn7jmQo80KBIkID1apppIxGgzIyvHNUSEXw8zMqPLyWsrLyVFTE9tW4MvoMXEWfgavoM3AVfcZ3hYfXKvNIco1MHLOzszV06FAdP35c7dq105tvvlmiTFBQkPLy8mQymUp9TkFBgST7tZFBQcXr98pSz1q2vDHdUVXO4IlvHGH7s9lskdnsm8eKFhWZq8zPHNUDfQauos/AVfQZuIo+U7PVuInKOTk5evzxx7V7927Fx8frk08+sVvbaBUeHi6p5HTSS1nvWctKpU9DdVTv8imp7sYEAAAAgIpUoxLHvLw8PfHEE0pOTlZcXJxmz56tyMhIh2Xj4uIkSYcPH3Z432Qy6fjx43ZlL/3z8ePHSx05PHLkSIl65YkJAAAAABWpxiSO+fn5Gj58uDZv3qxGjRppzpw5qlevXqnlr7vuOklSUlKSw/s7duyQyWRSUFCQ2rRpY7vepk0bBQQEqKCgQDt2ON451PpMa4zyxgQAAACAilQjEkeTyaTRo0dr/fr1iomJ0dy5c9WwYUOndXr27ClJ2rhxo8MRwM8//1ySdNtttykk5I8dSkNDQ3XLLbdIkr744osS9VJTU7VhwwZJUq9evTwSEwAAAAAqks8njkVFRRo7dqx++ukn1atXT3PnzlWTJk2uWK9du3a6/fbbVVRUpGeeeUanT5+WJFksFn3++edaunSpjEajhg8fXqLuiBEjZDAYtHTpUn3++eeyWIo3fDl9+rTGjBkjs9msHj16qHXr1h6LCQAAAAAVxWCxZjU+6ttvv9XYsWMlSY0aNVJMTEypZV9++WW1bdvW9vf09HT1799fqampCgwM1NVXX62MjAydOHFCBoNB48eP18CBAx0+a86cOXrzzTdlsVjUsGFDRUZG6uDBgyooKNBVV12lBQsWKCoqqkS98sQsq6Iis9LTfefIi6rM39+oyMgQZWTksAsZyoQ+A1fRZ+Aq+gxcRZ/xXVFRIRzHYWU9vkKSjh07pmPHjpVaNjs72+7vUVFRWrx4sWbOnKkVK1bo4MGDql27tm677TYNGTJE3bp1K/VZgwYNUqtWrfTpp59qx44dOnfunGJjY9WrVy8NGzas1Kmm5YkJAAAAABXB50ccURIjjpWHb+jgKvoMXEWfgavoM3AVfcZ3uTLi6PNrHAEAAAAA5cOIYw1ksVhkNvOvvbL4+RlVVMS3cyg7+gxcRZ+Bq+gzcBV9xjcZjQYZDIYylSVxBAAAAAA4xVRVAAAAAIBTJI4AAAAAAKdIHAEAAAAATpE4AgAAAACcInEEAAAAADhF4ggAAAAAcIrEEQAAAADgFIkjAAAAAMApEkcAAAAAgFMkjgAAAAAAp0gcAQAAAABOkTgCAAAAAJwicQQAAAAAOEXiCAAAAABwyt/bDQCqmw8//FBTpkxxWubVV19V//797a7dcccdOnbsmNN6O3bsUFBQULnbiKrrp59+0qJFi5ScnKzMzEzVqVNHTZo0UdeuXTV69Gj5+9u/lk0mk+bOnatly5bpyJEjCggIUOvWrTVw4EDdddddXvoUqEyu9BneMzVTWlqaunfvXqayDzzwgCZNmmR3jfdMzVOePsN7puYicQTcFB0drWbNmjm8V69evVLrtWzZUqGhoQ7vGQwGj7QNVU9hYaH+9a9/admyZZKkhg0bqnXr1srMzNSuXbu0bds2DRs2zC4JyM/P12OPPaakpCT5+fnp6quvVl5enjZt2qRNmzZp6NChevbZZ731kVDB3OkzVrxnapagoCBdf/31pd7Pz8/Xb7/9Jknq2LFjiXu8Z2qe8vQZK94zNQ+JI+Cm2267TW+++abL9V566SV17dq1AlqEquzVV1/VsmXL1L59e02YMEFt27a13cvLy9O6desUGBhoV+edd95RUlKSGjdurJkzZ6p58+aSpB9//FFPP/20Zs6cqeuvv1533HFHpX4WVA53+owV75mapV69evrss89Kvb9kyRKNGzdOwcHBuueee+zu8Z6pmcrTZ6x4z9Q8rHEEgAq2YcMGLVq0SI0aNdKcOXPsEgBJqlWrlrp3766AgADbtbNnz2rhwoWSpIkTJ9p+mZOk7t276/HHH5ekK06bRvXkTp8BSvPVV19Jku688067ESLeMyhNaX0GNRuJIwBUsNmzZ0uSBg8eXOb/A05MTJTJZFJcXJy6detW4v5DDz0kSfrtt9905MgRzzUWVYI7fQZwJC0tTZs3b5ZUvFbtUrxn4IizPoOajamqgJv27t2rsWPH6syZMwoJCVGrVq30l7/8RfHx8U7rLVy4UJ9++qkuXryounXrqnPnzrrvvvv45dBH5efna+3atZKkG2+8UQcPHtTnn3+u33//XYGBgWrTpo0efPBBNWrUyK5ecnKyJKlTp04OnxsTE6PGjRsrLS1NycnJatq0aYV+DlQed/vMpXjPwOrrr7+WxWJRbGxsieSQ9wwccdZnLsV7puYhcQTctGfPHu3Zs8f298TERH388cd69NFH9cILL8jPz89hve+++87u799++63ef/99vfvuu7r55psrtM2ofHv37pXJZJIkJSUlacKECba/S9Lq1as1a9YsTZo0Sffee6/tempqqiQ5/UWtadOmSktLU0pKSsU0Hl7hbp+5FO8ZSJLFYtGSJUskSffff7+MRvuJZrxncLkr9ZlL8Z6peZiqCriofv36evLJJ7Vo0SKtX79eO3fu1LJly/TQQw/JYrFo7ty5evfdd0vU69Kli9566y199913Sk5O1ubNm/Xxxx+rbdu2ysjI0PDhw207mMF3nDlzxvZn6wYnixYt0s6dO7Vq1SrdfffdKigo0Lhx47R7925b2fPnz0uS6tSpU+qzrfeysrIqqPXwBnf7jMR7BvY2bdqktLQ0SY6nHPKeweWu1Gck3jM1GYkj4KJ+/fpp5MiR6tChg6KiohQYGKhWrVrptddes21ZPnfuXNuL1+rNN99U79691aJFC9WqVUvh4eG6/fbb9dlnn6ldu3bKz8/XO++8442PhAqUk5Nj+3NwcLBmzpypDh06KDAwUM2aNdPkyZPVpk0bmUwmffzxx7ay+fn5kuR08xPrjpoXL16soNbDG9ztMxLvGdizjhx17tzZ4agi7xlc7kp9RuI9U5OROAIeNHjwYNWvX1+FhYVKTEwsU53g4GA9/fTTkqSNGzfavgGGb7j0AOQ+ffqU+GbfaDRq0KBBkqRff/1VZrPZrt6lUxQvV1BQIKm4D8F3uNtnnOE9U/Pk5ORo5cqVkor7kSO8Z3CpsvQZZ3jP+D4SR8CD/Pz8dO2110qSDh8+XOZ61kN4zWazjh49WiFtg3dc+kt/ixYtHJaxboGfk5OjzMxMSVJ4eLgkOf0/Xus9a1n4Bnf7zJXwnqlZVq5cqdzcXNWqVUu9evVyWIb3DC5Vlj5zJbxnfBuJI+Bh1ik/hYWFLteRpKKiIo+3Cd5z6blopU0Hu3SEyTp6FBcXJ8n5FxDW7fGtZeEb3O0zV8J7pmaxTjns2bNnqbtc8p7BpcrSZ66E94xvI3EEPOzAgQOSpAYNGpS5zv79+21/dqUeqr6YmBjbsQmlfftqvR4UFKSIiAhJ0nXXXSdJ2rp1q8M6p06dsq2jtZaFb3C3z1wJ75ma4+jRo7Zz+JxNOeQ9A6uy9pkr4T3j20gcAQ9as2aNLXF0ZSvqmTNnSpKuvvpqxcTEVEjb4D133323JOmbb75xOBL95ZdfSpJuuOEG+fsXn5LUvXt3BQQEKDU1VRs2bChRZ+HChZKktm3bqlmzZhXVdHiJO33mSnjP1BzWc/gaNWqkrl27llqO9wysytpnroT3jG8jcQRccODAAb3yyivau3ev3XWz2axvv/1WY8eOlSTdfvvt6tChg+3+J598ovnz5ysjI8OuXkZGhl555RXbYvQnn3yygj8BvGHIkCEKCwtTWlqaJkyYYNvJ0GKxaN68eVq9erUMBoOGDRtmq1O3bl3169dPkjR+/HgdOnTIdi8xMVGzZs2SJI0cObISPwkqizt9hvcMpOI+8vXXX0sqHjkyGAylluU9A8m1PsN7pmYzWCwWi7cbAVQXe/bsUe/evSVJERERio2NlZ+fn44cOWLbQKBz586aNm2a3UYCEydO1Lx582QwGNSoUSNFRUXp4sWLOnTokAoLC2U0GjVmzBgNHTrUGx8LlWDdunUaPny4Ll68qLCwMMXFxenkyZM6c+aMDAaDnnvuOQ0ZMsSuzsWLFzVo0CBt27ZNfn5+io+PV25urm3N0eDBg/XCCy944+OgErjaZ3jPQCrezfLRRx+VwWDQDz/8oCZNmjgtz3sGrvQZ3jM1G4kj4IKsrCz997//VXJysn7//Xelp6eroKBAderUUdu2bXXvvffq3nvvlZ+fn1295ORkLV++XDt27NDx48eVmZkpPz8/xcTEqEuXLhowYIDatGnjpU+FypKamqrp06dr3bp1OnfunEJDQ9WxY0c99thj6tKli8M6BQUFmjNnjr755hsdOXJEAQEBatOmjR555BH17Nmzkj8BKpsrfYb3DCRp3LhxWrJkibp06aL58+eXqQ7vmZrNlT7De6ZmI3EEAAAAADjFGkcAAAAAgFMkjgAAAAAAp0gcAQAAAABOkTgCAAAAAJwicQQAAAAAOEXiCAAAAABwisQRAAAAAOAUiSMAAAAAwCkSRwAAAACAUySOAAAAAACn/L3dAAAAgKpg48aNevTRR+2uhYWFacuWLR6LMWLECP34449210aNGqXRo0d7LAYAVAQSRwBApWnVqpXbdSdNmqQHHnjAg61BWX344YeSpD59+qhx48Zebk3lqFu3riQpNDS0xL20tDR17969TM+5vN/WqVPH9uzz58/LZDJ5oLUAUPFIHAEAlcb6C/PlcnNzlZub67RMcHBwhbULzk2ZMkWS1KVLlxqTOK5du7ZM5UJDQ532zcvvTZo0yfbngQMHatOmTe41EAAqGYkjAKDSlPbL+IcffmhLTsr6CztQFYwfP56RcAA1ApvjAAAAAACcInEEAFQL6enpeu+999S7d2916tRJ7du3V/fu3fXiiy/qwIEDDuts3LhRrVq1sq2t3Lt3r8aMGaNbbrlFHTp00N13361PPvlEhYWFtjpJSUkaMWKEbrnlFrVv31733nuv/vvf/8pisTiMcccdd6hVq1b66quvdOHCBb377rvq2bOnOnTooK5du2rEiBHavn37FT9fUlKSnn32Wd1+++1q3769OnXqpAcffFAzZsxQTk6Owzrjxo1Tq1atNG7cOFksFi1atEj9+/dX165dbW2ySk5O1jvvvKMBAwbYYnTu3Fl9+/YtNYb1+VaPPvqo7efZqlUr3XHHHbZ7X331VYlrl0tLS7PVTUtLs7t3ef0NGzbY/j20adNG48aNsyt/4cIFzZgxQ/369VOXLl10zTXX6E9/+pOeeeYZbdu2zclPGgDgDqaqAgCqvHXr1umpp55SVlaWJCkgIEABAQFKS0tTWlqali1bpv/85z/q3bt3qc/46aefNHr0aOXn5yssLEwFBQU6dOiQ3n77bf3222+aPHmyFi1apH//+98ym80KDQ1VQUGBDhw4oAkTJujEiRN69tlnS31+VlaWHnzwQaWkpCggIEBBQUHKzMzUjz/+qNWrV+v111/Xgw8+WKKe2WzWG2+8ofnz59uu1a5dW3l5edq5c6d27typr776Sp988okaNWrkMLbFYtFTTz2llStXymg0KiwsTEaj/XfD/fr1s/25Vq1aqlWrls6fP6/t27dr+/btWrp0qebNm6fo6GhbudDQUNWtW1dnz56VVLyxS0BAgO1+ZGRkqT+P8pg7d64mTZoki8WisLAw+fn52d3fs2eP/vnPf+rkyZOSJD8/PwUHB+vkyZP67rvv9P333+uZZ57RE088USHtA4CaiBFHAECVtm/fPg0fPlxZWVnq27evvvvuO23fvl3btm3T6tWrNWDAAJlMJo0fP147d+4s9TnPPvusunfvrtWrV2vLli3asmWLLbFYvny5ZsyYoddee00DBgzQ2rVrtWXLFm3atMm2fu2TTz5RSkpKqc+fMmWK0tPT9b//+79KTk5WUlKSvvvuO3Xp0kVms1n//ve/9dtvv5Wo98EHH2j+/PmKjo7WK6+8oo0bN2rbtm3avn275s2bp7Zt2yolJUWjR4+W2Wx2GHvVqlX68ccf9cILL2jz5s3atGmTtmzZoltuucVW5vbbb9d7772nX3/9VcnJydq0aZO2b9+uKVOm6KqrrtLBgwf173//2+65L730kt2a0w8//FBr1661/bN48eJSfx7uOnv2rN566y316dNHa9as0ZYtW7R9+3aNGDFCknT69GkNGTJEJ0+e1F133aXFixdr+/bt2rp1q9atW6cRI0bIz89PkydPVkJCgsfbBwA1FYkjAKBKe+ONN3Tx4kU98cQTev3119WiRQvbCFRsbKz+/e9/a+DAgSosLNS0adNKfU779u01efJkxcbGSioeTRszZow6d+4sSXr33XfVu3dvvfTSS7ZRtzp16ug///mPGjduLLPZrO+//77U52dnZ+v999/X3XffLX//4gk9LVq00MyZMxUXF6fCwkK9//77dnXS0tI0Y8YMBQcH69NPP9XDDz+siIgIScWjql27dtX8+fPVoEED/fbbb0pMTHQYOzc3V+PGjdPgwYNtx0eEhISofv36tjIff/yx7rnnHtWrV892LTg4WHfeeafmzp2rwMBAJSQk6Pjx46V+xsqQn5+v7t27a9KkSWrYsKGk4hHFpk2bSpL+93//V+fOndO9996rDz/8UNdcc41tFDQ6OlpPPfWUnnvuOUl/HCNSkSZOnKibb77Z4T+X//sGgOqMxBEAUGWlpaVpw4YN8vf31+DBg0stZ52iun79ehUVFTksM3ToUBkMhhLXLx2VczS10c/PTzfeeKOk4tHP0lx//fW2cpcKDg7WkCFDJEm//PKLsrOzbfeWLFmioqIi3XrrrWrdurXD54aGhqpHjx62+o7UqVPHbiqqq2JiYtS6dWtZLJYqsT5w2LBhDq/n5+fr22+/lVT877M0999/v6TiNa3WabYV5cKFCzp79qzDfy5cuFChsQGgMrHGEQBQZW3dulVS8TrAv/zlL6WWsyaLubm5yszMtFunZ9W+fXuHda3nRkZERKhJkyYOy1ifZ11j6Ui3bt2ueM9sNuu3336z/d36+dauXaubb7651PrWMy5LGw1s3769AgMDS61vjb18+XItX75ce/fuVXp6uvLz80uUs64b9Jbg4GC1a9fO4b1du3bZ2mxNxq/k+PHjpZ4N6gmTJk3iOA4ANQKJIwCgyjp9+rSk4qSnrCNHeXl5Dq9bp3BezjrtNSQkpNRnWqeeXrr76uViYmLKdC89Pd32Z+vny83NtSWHzly8eNHh9aioKKf18vLy9MQTT2jjxo22awEBAYqIiLB9tvPnz8tkMpX686ssERERJTb2sbL+vCSVuz8AAFxD4ggAqLKsm8HUrVvXbpMWX2EdKR06dKjTHVuv5PJdRy/38ccfa+PGjQoODtYzzzyju+66Sw0bNrSbujtgwAAlJSWVeuxIZXH2WS7dHGjHjh0KCgqqjCYBAMQaRwBAFWadYpiRkVGmETlvOnXqVJnuXTo6aN2opqI3pFm+fLkkaeTIkRo0aJBiY2NLrPcs71pAa8LnaPqrVXnX/F065fTYsWPlehYAwDUkjgCAKuv666+XVDwy9/PPP3u5Nc5dOg20tHtGo1Ft27a1Xbd+vnXr1jlNuMrLum6xTZs2Du+npaXp8OHDpda3JpnORiPr1KkjSTp37pwKCgocltm+fXuZ2lua9u3b23ZQXb16dbmeBQBwDYkjAKDKiouLU5cuXSRJ7733nt2OpI5kZmZWQqscS0pKcpg85ufn69NPP5VUvINreHi47d7f/vY3+fv7KyMjQx988IHT5xcUFCgnJ8ettlnXd+7du9fh/XfffbdM9Z39/K27wlosFv3www8l7l+8eFFz5swpS3NLVbt2bd13332SpJkzZ15xpNab/QEAfA2JIwCgSnv55ZdVu3Ztpaamqm/fvkpISLAbnTt16pS+/vpr/eMf/9D//M//eK2dYWFhevLJJ7VixQrbJjq///67hg0bpkOHDsnPz09PPvmkXZ2mTZtq+PDhkqRZs2bp+eef1/79+233CwsLtWfPHk2ZMkV33XWX9uzZ41bbbr31VknStGnTtGrVKlv7jh49qrFjx+r777+3jRg6Eh8fL0n65ptvSt1spkGDBurUqZOk4p1G161bZ1vDuWvXLg0aNMhuYyB3PfPMM6pfv74yMjLUr18/ff3113ZTYNPT07Vy5UqNHDlSY8eOLXc8AEAxNscBAFRpLVu21KxZs/TUU0/p0KFDGjlypPz8/BQWFqaLFy/a7TRa2nEalWHUqFFauHChnnrqKQUGBiooKMg2QmcwGPTqq686PBJk5MiRKioq0rRp07R06VItXbpUwcHBCg4OVnZ2tt25lI7OoSyLp59+WuvWrdPZs2c1evRo+fv7q1atWrb2jRkzRr/++qs2bdrksP5DDz2krVu3auXKlUpMTFRUVJT8/f0VExOjzz77zFbu5Zdf1iOPPKIzZ87oscceU1BQkPz8/JSbm6u6devq7bffLvWMxrKqX7++5syZoxEjRig1NVUvvPCCjEajwsPDVVBQYLcW9qabbipXLADAH0gcAQBVXqdOnbRixQp98cUXSkxM1IEDB5Sdna2goCC1aNFC7dq102233abu3bt7rY3h4eH68ssvNX36dK1atUonTpxQRESEOnbsqCeeeEIdO3Z0WM9gMOipp57S3Xffrc8++0wbN27UiRMndOHCBYWHhysuLk7XX3+97rzzzlKfcSWNGjXS4sWL9eGHH+rnn39Wenq6goKC1LlzZz3yyCO65ZZb9Ouvv5Za//7775ckff7559q/f7/OnDljt8OpVZs2bfTFF1/oo48+0oYNG5SVlaW6deuqT58+Gj58uMfWcbZo0ULffPONlixZolWrVmnPnj06f/68AgIC1KxZM7Vp00Y333yzevbs6ZF4AADJYPH2vtsAAFRjd9xxh44dO8ZB8D5g48aNevTRRyVJ+/btq/B4AwcO1KZNmzRq1CiNHj26wuMBQHmwxhEAAAAA4BRTVQEAAC7TqlUrScWbHm3ZssVjzx0xYoR+/PFHjz0PACoLiSMAAICkgIAA1a1b1+6a9SgST6lTp06JGLVr1/ZoDACoCCSOAAAAkq6//nqtXbu2QmNMmjSpQp8PABWFzXEAAAAAAE6xOQ4AAAAAwCkSRwAAAACAUySOAAAAAACnSBwBAAAAAE6ROAIAAAAAnCJxBAAAAAA4ReIIAAAAAHCKxBEAAAAA4NT/A062vxLadqp2AAAAAElFTkSuQmCC\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import matplotlib.pyplot as plt\n", "import seaborn as sns\n", "\n", "sns.set(font_scale=1.5)\n", "plt.scatter(df['temp'], df['trip_count'])\n", "plt.xlabel('Temperature [F]')\n", "plt.ylabel('Number of trips')\n", "plt.gcf().set_size_inches(10, 5)\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "* Regression:\n", " - predicting a continuous number from input data\n", "* We will predict the number of blue bike trips in October 2019 based on the temperature:\n", " * intuition from graph:\n", " - higher temp -> more bike trips" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Linear regression\n", "Regression seeks to find coefficients $a_0, a_1$ so that the function:\n", "\n", "$$ \\hat{y} = a_1 x + a_0 $$\n", "\n", "is able to predict $y$ from $x$.\n", "\n", "* $x$ is our input data \n", " - (temperature on a given day)\n", "* $y$ is the outcome we're predicting \n", " - (number of bike trips on same day)\n", "\n", "To learn the function we \n", "1. observe paired observations of $(x, y)$ \n", " - (this is akin to observing the scatter plot above)\n", "1. find the $a_i$ coefficients which best map $x$ to $y$.\n", " - (this is akin to drawing a line through the scatter which \"best\" fits the points)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# What do $a_1$ and $a_0$ mean?\n", "\n", "## Algebraic meaning:\n", "- $a_1$ is the slope of the line\n", " - when x increases by 1, how much does y change?\n", "- $a_0$ is the y-intercept of the line\n", " - when x=0, what value is y?\n", " \n", "## Application meaning (from algebraic meaning):\n", "Returning to our blue bike example where:\n", "- x is the temperature\n", "- y is the number of riders on a given day\n", "\n", "\n", "- because $a_1$ is the increase in y when x increases by 1\n", " - it represents the increase in riders because the temperature goes up by 1\n", "- because $a_0$ is the value of y when x=0\n", " - it represents the number of riders our model predicts when temperature=0" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Often there is no $a_1$ and $a_0$ which \"fits\" every observation...\n", "\n", "Specifying $a_1$ and $a_0$ is equivilent to specifying a straight line. \n", "\n", "Can we fit a straight line through all these observations? (very often: no)" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, 'y')" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x = [0, 1, 2, 3, 4, 5]\n", "y_true = [0, 3, 2, 4, 3, 5]\n", "\n", "plt.scatter(x, y_true)\n", "plt.gcf().set_size_inches(7, 5)\n", "plt.xlabel('x')\n", "plt.ylabel('y')" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## ... lets find the line which \"best\" fits these points" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "### Regression Recipe\n", "1. Choose some \"form\" of the relationship between x and y:\n", " - `y_pred = a_1 * x + a_0`\n", " - this is a simple model, we could have chosen others too (more next lesson)\n", " - a polynomial: `y_pred = a_2 * x ** 2 + a_1 * x + a_0`\n", " - exponential: `y_pred = a_1 * np.exp(x)\n", " - remember the $a_i$ coefficients define the position of the line above\n", "1. Quantify what a \"good\" model is\n", " - We want to minimize average distance from predicted y to observed y\n", " - see MSE on next slide\n", "1. `.fit()` the model parameters to maximize how \"good\" the model is\n", " - Choose $a_0, a_1$ to draw a line which is as close as possible to all the points\n", " - \"as close as possible\" = minimize average distance from predicted y to observed y" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "### Mean of Squared Errors (MSE): Intuition\n", "Before formally defining **Mean of Squared Error (MSE)**, lets build our intuition of it:\n", "- MSE measures how closely a line (i.e. $a_1, a_0$) comes to all observations $(x, y)$\n", "- MSE is 0 when the line goes through all points exactly\n", " - in other words, some $a_1, a_0$ has, for every pair $(x, y)$:\n", " $$\\hat{y} = a_1 x + a_0 = y $$\n", "- MSE is large when the line is far from many pairs $(x, y)$\n", "\n", "# The best line $(a_1, a_0)$ is the one which minimizes MSE" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "\n", "def get_mse(y_true, y_pred):\n", " # calculate the mean squared distance between the predicted and actual y\n", " return np.mean((y_pred - y_true) ** 2)\n", "\n", "def show_fit(x, y, slope, intercept):\n", " plt.figure()\n", " \n", " # transform the input data into numpy arrays and flatten them for easier processing\n", " x = np.array(x).ravel()\n", " y = np.array(y).ravel()\n", " \n", " # plot the actual data\n", " plt.scatter(x, y, label='y_true')\n", " \n", " # compute linear predictions \n", " # x is a numpy array so each element gets mulitplied by slope and intercept is added\n", " y_pred = slope * x + intercept\n", " \n", " # plot the linear fit\n", " plt.plot(x, y_pred, color='black',\n", " ls=':',\n", " label='y_pred (regression)')\n", " \n", " # for each data point plot the error\n", " for idx, (x_i, y_i) in enumerate(zip(x, y)):\n", " # compute predicted position\n", " y_pred_i = slope * x_i + intercept\n", " \n", " # plot error\n", " plt.plot([x_i, x_i], [y_i, y_pred_i], \n", " ls='--', lw=3, color='tab:red',\n", " label='error' if idx == 0 else \"\")\n", " \n", " plt.legend()\n", " plt.xlabel('x')\n", " plt.ylabel('y')\n", " \n", " # compute mean squared error\n", " y_pred = slope * x + intercept\n", " mse = get_mse(y_true=y, y_pred=y_pred)\n", " \n", " # add title which shows model and MSE\n", " plt.suptitle(f'y_hat = {slope:.2f} * x + {intercept:.2f}, MSE = {mse:.9f}')\n", " plt.gcf().set_size_inches(10, 5)\n", " " ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import matplotlib.pyplot as plt\n", "import seaborn as sns\n", "\n", "sns.set(font_scale=1.5)\n", "\n", "x = [0, 1, 2, 3, 4, 5]\n", "y = [0, 3, 2, 4, 3, 5]\n", "show_fit(x, y, slope=-1, intercept=2)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The error of the j-th data point is the distance between our estimate $\\hat{y}$ and the observed $y$ (length of dotted red line above)\n", "\n", "$$\\texttt{Error}_j = \\hat{y} - y = a_1 x + a_0 - y$$\n", "\n", "This definition \"Mean of Squared Errors\" is more than a name, its a recipe:\n", "\n", "How to compute MSE:\n", "1. Compute the error of every observation (length of red line)\n", "1. Square each error\n", "1. Compute average of all squared errors\n" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x = [0, 1, 2, 3, 4, 5]\n", "y = [0, 3, 2, 4, 3, 5]\n", "show_fit(x, y, 0, 1)" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([ 1, 4, 1, 9, 4, 16])" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "error = np.array([1, -2, -1, -3, -2, -4])\n", "error_sq = error ** 2\n", "error_sq" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "5.833333333333333" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "mse = np.mean(error_sq)\n", "mse" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$$\n", " MSE = \\frac{1}{n}\\sum_{j} {(\\hat{y}_j - y_j)^2}\n", "$$\n", "\n", "where \n", "- $(x_j, y_j)$ are the paired observations\n", "- n is the total number of paired observations\n", "- j is the observation index \n", " - (first observation is 0, next is 1, ...)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# Manually \"fitting\" a regression line" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x = [0, 1, 2, 3, 4, 5]\n", "y = [0, 3, 2, 4, 3, 5]\n", "show_fit(x, y, slope=1, intercept=0)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# In Class Assignment 1\n", "\n", "Given the paired observations:\n", "```python\n", "x = np.array([0, 1, 2, 3, 4, 5])\n", "y = np.array([1, 3.5, 4, 5, 4.5, 6])\n", "```\n", "1. Find an $a_1, a_0$ (slope, intercept) which get close to the minimum MSE (guess and check via `show_fit()`)\n", "1. Compute the MSE of the line $a_1 = 0, a_0 =$ `np.mean(y)` by hand\n", " - stuck? skip to the next part and come back to this computation\n", "1. Verify your answer using `show_fit()`\n", "1. This computation feels oddly familiar ... can you identify where we've seen it before?\n", "\n", "Use the `show_fit()` function to try and find $a_1, a_0$ which MSE is the smallest in the following dataset:" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "slideshow": { "slide_type": "-" } }, "outputs": [], "source": [ "x = np.array([0, 1, 2, 3, 4, 5])\n", "y = np.array([1, 3.5, 4, 5, 4.5, 6])" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "show_fit(x, y, slope=.88, intercept=1.75)" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": 12, "metadata": { "slideshow": { "slide_type": "slide" } }, "outputs": [ { "data": { "image/png": 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45ZVX+PnnnwGYPHky7u7uqToHwK5dux65CGlSA9arV69uaGL2KK+99hozZswgODiYo0ePWlqW07pOn0Tr1q1Zv349q1evJn/+/MTExCQ76D8pRYsWTTBJ5MyZMyxYsIA1a9awf/9+vvnmmyTrJaMsl/Hg3/3u3btJzspO6vX6pOzt7enVqxd9+/ZNNJngcc+XB8sfjMXFxYXQ0NBkj0vv55gkTYlZJuTq6krr1q35/vvvWbduHR07dmTFihXExcXRsWPHR64cn1KPWnz0YdeuXWPo0KFERUXRp08fWrZsSb58+XBxccFkMjFlyhTmzp372G99qTVhwoQn6srs2LFjmsaRUvGDvMPCwhJ0Nzzo+vXrwP1WqHjxP1+7di3Zc8fP3HvwuJRKi8V9g4KC2Lt3r+X348ePU7ly5VSfJ7m7D8TPHktpN5e1sLGxoXDhwgQHB3Pjxg1LefxzIb3qNCXq1KmDt7c3a9euJVeuXDg4ONCiRYsnPl/JkiWZOHEi4eHh/Prrr/z222/pmjAHBwczceLEVB/XoUMHXnjhhcfu5+rqSvbs2QkNDeXatWtJJmZJvV6fRnxr5YPPlQfPn9wM3fjy+HXqHjwuPv6Hx609eFxSE1Ak/Sgxy6TeeOMNvv/+e77//nvatGnDypUrsbW15dVXX33msWzfvp2oqCiaNm3KkCFDEm2/fPlyulz3l19+eaJBt0YlZm5ubhQoUIB///2XkydPUq1atUT7nDhxAiDBzNQyZcoAcP78eaKjoxN1D/3777+EhITg5OT01GMLn4TZbGbEiBHcvHmT5s2bs337diZNmkS1atUy7Qzb1IgfQP7gOKDnn38eR0dHQkJCuHr1aqIP9ujoaMsQgPT6G9ra2tKqVSsWLlzIzZs3adasWZqsul+rVi1+/fXXVH9pSq2IiIgkW1Afp3r16ilKzOB+l/T+/fs5efJkkpNY4l+vSSU9TyJ+PbSHv7TFvwf4+/sneVxycZQuXZpTp07h7+9Pw4YNU3ycpC8lZplUsWLFqF69OgcOHGDq1KkEBgbSqFGjR87ySi/xbyZJdX8GBwezZ8+eJI+L7y571O1fHiWjtZ7A/ZafJUuWsH79+kSJ2Z9//smVK1fImTNngtamfPnyUapUKU6fPs3WrVsTtWps2LABgHr16iU5pie9LVq0iF27dlG2bFkmTpyIn58fo0aNYvDgwZZV5LOqM2fO8NdffwEJlyxwcHCgTp06/Prrr6xfv56ePXsmOG7r1q1ER0dTtmzZdH1Nt23b1rIoaUq6F81m82PHK8V/EYufYZxeChQowJkzZ9L1Gj4+Puzfv5/169cnGht2/fp1Dh8+jL29PfXr10+T68XfMeHhZTHq1auHnZ0dhw4d4vr164n+tvHvAQ8PY2nUqBGrVq1i06ZN9O/fP0HdRUZGWmaFPsnsVnlyWscsE3vjjTeA+yvFQ9oM+n8Szz//PACbN29OsG5TREQEI0eOTHbcWfybS1KDvTOyY8eO0axZsyRvpdOtWzfs7e1ZuXJlgq6/sLAwxowZA8Dbb7+daBzYO++8A9yfEfdgd8aZM2csq8PH7/MsnThxgilTpuDi4sLkyZNxcHDg1VdfpVmzZly6dCnd7vX4rF2/ft1Sp/HdV/GWLVuW5HP42LFjDBo0CLg/o/nhD9P4+po7d26CldcDAgKYNGlSgn0e5OvrS8mSJenatevTPSjuz6Lcv38/+/fvT1FycebMGbp168a2bduS/EK1efNmyySkp+kWtRYdOnQgR44c7Ny5Ez8/P0t5dHQ0I0eOJDY21rLPg5YtW0azZs0YPnx4gvIrV67www8/JJoFee/ePRYvXmxZwPvNN99MsD1nzpy0a9eO2NhYRo0alWCMr5+fH7t27cLT0zNRct2wYUOKFi3KuXPnmDVrlqU8Li6OcePGERISQr169dRi9oypxSwTa9SoEXny5CEgIICCBQtSt25dQ+Jo2LChpUWnadOmVK9eHTs7Ow4ePIiNjQ3t2rVLdKsQuD/GxdnZmc2bN9OlSxcKFSqEjY0NPj4+VvMNbubMmZaBuPFvhuHh4Qm6jDt27Jige/Tu3buWVpKHFShQgP/85z+MHDmSt99+mxo1auDu7s7+/fsJCQmhTp06vPXWW4mOa9WqFb///jurV6+mefPm1K5dm5iYGPbs2UNMTAyDBg2iYsWKafnQH+vOnTu89957xMTE8OmnnyboRh03bhzHjx9n1apV1K5dm1atWj3T2B7lxx9/5Mcff0xU3q1bN8vYyvr16ye4hU1MTIylTh+esfrjjz/y6aefUqJECYoUKYLJZOLvv//m1KlTmM1mKlSokGjWJtyfndi/f39mzpxJu3btqF27Nvb29uzZs4eIiAjat2+fZHITfxP6tBhLmlpms5l9+/axb98+XF1dKVOmDLly5eLOnTtcuHCBv//+G7iflCU3ZODHH3985ASPlI4BexZcXV2ZNGkSffv2ZcSIEfzwww/kyZOHI0eOEBAQQKlSpSy3z3rQrVu3+OuvvxKt6xYWFsYnn3zChAkTKFeuHLly5SIsLIyzZ88SEBCAyWTi3XffTTJJHj58OEePHmXHjh00adKEypUrExAQwJEjR7C3t+fLL79M1AVqa2vL5MmTeeONN5g+fTpbtmyhSJEinDx5kkuXLpE3b94nmj0tT0eJWSZmZ2dHtWrVWLt2LZ06dTJsSrS9vT3Lli1jxowZbNu2jd27d5MjRw58fHx49913WbFiRZLHeXt7M2fOHGbOnMmpU6c4dOgQZrOZPHnyWE1i9s8///Dnn38mKIuNjU1QltqEuEOHDhQsWJB58+Zx7NgxoqKiKFSoED179qR79+7JfuB+8cUXVK1alR9++IE9e/ZgMpmoWLEib731VprMxE2t//znP1y+fJmWLVsmWk/Kzc3N8oHwySefULFixRSvH5XeAgICEtUp3J+wEC++FTgl3njjDXbt2sWZM2fYs2ePZQZfzZo1adGiBW3btk12luugQYMoVaoUixcv5o8//sBsNvP888/TuXPnZBOb+FXaO3TokOIY00rx4sVZunQpv//+O4cOHeLKlSuWv6WXlxdNmzbllVdeeeTz8fDhwxw+fDjZ7akZA/Ys1K1bl5UrVzJr1iwOHDiAv78/efPmpU+fPvTp0+eRa9E9LE+ePPTo0YPjx49z+fJl/vzzT8xmM7lz56Z169a8/vrrVKpUKclj3dzcWL58OXPnzmXjxo38+uuvuLq60rRpU/r165dsq1fp0qXx8/Nj5syZ7N69m/Pnz+Pt7U3Xrl3p168fOXPmfJI/izwFkzmtp8KJ1bhz5w5169a13KtNLzCRzC02Npbq1avz3HPP8dNPP2l9KpEMSGPMMrFFixZx584dWrZsqaRMJAs4duwYd+7cYdiwYUrKRDIotZhlMhcvXmTBggUEBATw+++/4+TkxNq1aylYsKDRoYmIiMhjaIxZJnPz5k1WrlyJo6Mj5cqVY9iwYckmZVu3bmXr1q0pOq/Rt7URERHJCtRiloX5+voyY8aMFO1bvXr1ZFddFxERkbShxExERETESmjwv4iIiIiVUGImIiIiYiWUmImIiIhYCSVmIiIiIlZCiZmIiIiIlVBiJiIiImIllJiJiIiIWAklZiIiIiJWQomZiIiIiJVQYiYiIiJiJZSYiYiIiFgJJWYiIiIiVkKJmYiIiIiVUGImIiIiYiWUmImIiIhYCTujA0grt27dIS7OnK7X8PR0JSgoPF2vIamjOrE+qhPrpHqxPqoT65Te9WJjYyJHjmzJbs80iVlcnDndE7P464h1UZ1YH9WJdVK9WB/ViXUysl7UlSkiIiJiJZSYiYiIiFgJJWYiIiIiVkKJmYiIiIiVUGImIiIiYiUyzazMx4mJieb27RBiY6OJi7v3ROe4ccOGuLi4NI5MnobqxDrY2NhiZ+eAm5uH0aGIiGRoWSIxu3v3Drdv38LVNTuOjjmxsbHFZDKl+jx2djbExioJsCaqE+OZzWbi4u4RFXWXW7du4OJiC9gaHZaISIaUJRKz8PBQPDy8cHBwMjoUkUzHZDJha2uHi4sbdnb2BAYGkj17bqPDEhHJkLLEGLN792Kwt3c0OgyRTM/e3pGoqGijwxARSZWoqChWr15pFUNjskSLGfBEXZcikjp6nYlIRrRx4zp6936bkkcOY1OmJHciosj2di9DYskSLWYiIiIi8SIiInjvvYEsX/4dAC+//Ao//bSWXNu2EjhzJncXzTcsNiVmIiIikumZzWb+/vsyAM7Ozpw+fYqAgGsA2NvbU7dufSPDs8gyXZmSvMuXL7F16y+0aNGKvHnzGR2OiIhImnv//SFs2rSeQ4dO4OjoyLp1m7Gxsb72KeuLSJ65y5cvsWjR11y7dtXoUERERNJEYGAgEyd+zq1bwQB06vQao0aNsSRj1piUgRIzeQLR0Zp1JyIi1unevfuLyN+4cZ3Jkyewa9cOAKpVq0GnTq9jb29vZHiPpcQsA9u8eRN16rzAiRPHE23z9Z1Ckyb1uHMn/JHn2LBhLR99NAyAQYP6UKfOC9Sp8wKHD/8BQIcOrfjww6Fs2bKJrl1fpUGDmmzd+gvXrl2lTp0X2LBhbaJz1qnzAgsWzE1QdunSX4wcOYKXX25Ew4a16NatM5s3b3rShy4iIpJAXFwcnTu34z//+RiAMmXKcuTISV55pW2Kz+HYqg0eHTvi2KpNOkX5eBpj9hT2+gewascFgsKi8HR3pF39otQqm+eZXd/HpzEzZ37F6tU/Uq5ceUt5VFQkGzaso2nT5mTL5vrIc9SqVYe+fQcye7Yv7703ghIlSgFQpEgRyz4nT/pz6dJfdO/+Dp6eXnh5eacqzvPnz9G3bw8KF36OwYPfJ3t2D7Zt28rYsSOJjo6kZcs2qTqfiIgI3J9duX//Xho2bISNjQ2lSpWhQIEClu358uVP1fnchn+Et7cbN2/eTutQU0yJ2RPa6x/A4o2nif7f7YCCwqJYvPE0wDNLzuzs7GjTpj1Lly5i4MD38PDwAGDLlk3cvh1Gu3YdH3uOHDlyULBgYQCee65IggQvXmhoCHPmLEwwMSA149FmzvwKDw8PfH3n4uzsDED16jUJCQlh3rzZtGjxitX29YuIiPX66qsv8fWdypEjJ8mTJy//+c84o0N6avo0fEKrdlywJGXxomPjWLXjwjONo3XrdpjNZtavX2MpW736JypVqsLzzxdLk2sUL17iiWdrRkVFcfjwH9Sr1xB7e3tiY2Mt/2rVepHg4CAuX76UJnGKiEjmFhBwjX79enLs2FEA3nrrHVav3kDu3M+utyq9qcXsCQWFRaWqPL3kzOmJj09j/PxW8dprXTl50p8zZ04xZswXaXYNT0+vJz42LCyUe/fusXz5tyxf/m2S+4SGhjzx+UVEJHO7d+8ewcHBeHt74+Liwu7dO2nYsBEVKlQib958mW6ZJyVmT8jT3THJJMzT/dnfk7N9+0788stG9u/fw9atm/H09KJ+/YZpdv6kbrPj4OAAJJ6h+XCS5ebmjo2NDS1atKJNm/ZJnr9QocJpE6iIiGQ6HTq8go2NLT/99DPu7tk5dOhEus2svD3xc2Kd7LkbGYPb8I/S5RqPo8TsCbWrXzTBGDMABzsb2tUv+sxjKVOmHGXKlGPJkkWcOXOKLl26YWeX8qqNf4JHRaW8tS9nTk8cHBy5cOF8gvL4acnxnJycqFSpCufOnaVYsRKpiktERLKeq1evsGrVSvr3H4TJZOKNN7phb2+P2WzGZDKl63IXUWv9iP8kVGKWwcQP8DdyVuaDOnToxNixo7C1taV163apOrZIkecxmUysW+dHtmzZcHBwoFChwri4ZEv2GJPJxEsvNWP9+p/Jnz8/xYqV4NQpf7ZsSbwExqBBQ+nf/x0GDuxN69btyJ07D+Hht7l8+RKnTvnz2WeTUv14RUQkc4lPvHbu3M64cZ/QoIEP5cqVp337V40O7ZlSYvYUapXNY1gi9rD69X2wsxtD3boNUr2cRZ48eRk4cAgrVnzPwIG9uXfvHtOnz6FKlRceedzAgUMwmUx8991S7t6NoEqVF5g48Ss6dGiVYL9ixYqzYMEyFi36mtmzfQkNDcHdPTuFCz+Hj0+TVD9WERHJPIKCgujW7TW6du1Op06v07ZtB2rXrpNlh7koMcsk9u37ndjY2BQtkZGUV199nVdffT1R+cqViReQjZctmysjRoxMVL579x+JygoUKMioUWOfKDYREclcbt8O48KF81SqVIWcOXPi4eGBo+P9MdqOjo5ZNikDJWYZ3t9/XyIgIICZM6dRtmx5KleuanRIIiIij3R/yYs/OXToBHZ2dixbtsLokKyG4YnZ/v37mTt3LseOHSMmJob8+fPTrVs3OnXqZHRoGcLEiZ9z4sQxSpYszciRYxJsM5vNlnuGJcfW1jbJWZciIiJp5ezZM3z11ZeMH/8l7u7ZGTp0BHFxcZoQlgRD/yKrV6/m448/pmPHjnTv3h17e3suXrxITEyMkWFlKDNmzEt228aN6/j88zHJbgdSNJZMREQktWJjY4mMjMTV1ZW7dyPYsuUXunbtTq1aL1KpUhWjw7NahiVm165d4z//+Q9DhgyhZ8+elvJatWoZFVKm8+KLdZk/f8kj98nK/fgiIpI+IiMjqVu3Oi1btuaTTz6lYsXKHDt2xnJbPmu01z+A4g/9bsQEP8MSs5UrVwLQtWtXo0LI9LJn9yB7dg+jwxARkSzgr78u8scfB+jYsTNOTk68/npXKlasZNlu7UnZ4o2nefBOm8/6/tfxDLtX5sGDBylatCibN2+madOmlC5dmnr16vHll18mWk1eRERErNuCBXN5//3B3L4dBsCQIe9nmCWRrOX+1wAms9lsfuZXBZo1a8aNGzews7Pj3XffpVixYuzbt4958+bRrFkzJk+enGbX8vc/Sb586rITeRauXr1M2bJljA5DRNKZv78/b731FvPnz6dChQoEBARw79498ufPb3RoqfbK0DWYgSZnt1jKtpRoggn4eXLrZxqLYV2ZZrOZO3fuMGXKFF5++WUAatSoQWRkJAsXLmTQoEEULpzyZCooKJy4uKRzzLi4OGIfyoSfhJ2dTZqcR9KO6sQ63bx52+gQ5CHe3m6qFyuTEeskJOQWISEhPPdcEeztXYmMjObChX/Im7cItrbZsLXNmK//nP+7//WWEk0Slaf147GxMeHp6Zr89jS9Wip4eHgAUKdOnQTl9erVA+5n4iIiImIdzGYzL73UgA8+GApAjhw5+fXXXdSpU8/gyJ5eu/pFcbBLmBIZdf9rwxKzEiVKPHK7jY1hoYmIiAhw+PAfjBr1geU+lp9+Oj7RmpmZQa2yeejWvBSe7o6YAE93R7o1L5W1ZmU2adKEFStWsGPHDl555RVL+Y4dOzCZTJQvX96o0ERERLKs6OhobGxssLOzw9//BCtXLqd37/4UKFCQpk2bGx1euom//7XRXcyGNUvVq1ePevXqMXbsWBYvXsyePXuYMmUKS5YsoXPnzhly8KCIiEhGdunSX1StWo61a/0AePXV1zh8+CQFChQ0NrAsxND+wmnTptGxY0fmz59Pr1692LhxI4MHD2b06NFGhiUGOHz4D+rUeYHDhxPfAD0p8+fPoUePrL0G3rVrV6lT5wU2bEj+RvNPKzw8nGbNGrJr1/Z0u4aIGOvcubPs3LkduL/oeKNGTcif/34i5ujoaNXrj2VGht6SycXFhREjRjBixAgjw5AM5vr1AL7/finjxk00OhRDeXp6MWfOIvLnL5Bu13B1daVz5y7MnDmNWrXq6L52IpnQ0KGDCAoKZPfug9jY2PDVVzONDilL0wh7eWrPekHgH3/8AU9PL2rVevGR+8XGxj72Ju5p5f6SLLHP5FrxHBwcKFeuPDly5EjX67Ru3Y5r166yffuv6XodEXk2du/eySuvNCM8PByASZO+ws9vIyaTyeDIBAxuMZMnt3nzJsaOHcmcOYsoVy7hRAlf3yn8/LMffn4byJYt+bVS4m3YsJbPPx/D1KkzWb/+Z/bu3Y3ZDLVqvcjgwcPIkSOnZd8OHVpRvHgJfHyasGTJQv7552+GD/+YFi1acePGdebPn8P+/XsIDQ0lT558tGvXgVdffT3B9S5d+ovp0yfz559HcHJyom7dBimebh0TE8OGDWtp165jgvJr167SseMr9Ov3LhERd9iwYS03b95gxYo15M2bjxMnjrFo0Xz8/Y8RHR1DsWLFeeedPlSvXjPBeXbt2s78+XP4++/LeHl507ZtR+7ejWDRoq/Zvfv/3ax16rxAx46vkTdvPn76aTkBAdeYOnUmVaq8wKVLfzF//hyOHPmDiIgIChUqTJcu3XnppWaW4yMjI/n669ns3LmNoKBAnJycKVCgIN269eDFF+sCcObMaebPn82pUye5cyccD48clCpVmg8//AR3d3fLY/7oo09o0aKV5dzbtm1l2bLF/PXXRezt7ahYsTK9evWnWLH/3wXus8/+w65d25k37xu++moyx48fxc3NnYYNG9O7d38cHBws++bIkZNq1WqwZs0qGjdumqJ6EhHrcvPmTezsbMmRIydOTk6EhoZy9eoVSpQoScmSpYwOTx6Q5VvM2rRpwQ8/fAvc/9Bv06YFP/74AwARERG0adMCP7+fAAgLC6VNmxasW/czAEFBQbRp04JfftkIwPXr12nTpgW//XZ/5eArV/6lTZsW7NixDbifkLRp04I9e3YDcP78Odq0afFEcfv4NMbT04vVq39MUB4VFcmGDeto2rR5ipKyB33xxVhcXd0YO3Y8vXr1Ze/e3xkyZECilqCTJ/1ZuHAeb7zRnS+/nE6ZMuUIDLxJz57dOHbsT3r16s+kSdOoV68BM2dO4+uvZ1uODQoKZMCAXly69BdDh37AyJFjiYyMZMqUlHVLnjx5grCwUCpVqpLk9hUrvuPUqZO8995wvvjiS9zc3DlwYB8DBvQiLu4eH344ms8+m4Cnpxfvv/8uBw7ssxy7b98ePv54OB4eORgz5gv69RvE9u2/snHjuiSvtW3bVrZs2UifPgOYMGEq+fMX4Pz5c/Ts2Y2AgGsMHvw+EyZMpUyZcowdO5J16/wsx06fPplfftlAly7dmDzZl48+Gk3t2nUICwsF7j/3hgzpT0xMDMOHf8yUKTPo128Qbm7uj2yh3LBhLaNGfYC3tzdjx37B0KEf8u+//9C3bw8uXforwb7R0TF88MFQqlevwRdfTKZFi1asWPEd3367ONF5K1euyrFjR4mIuJPstUXEOt26FUy1auWZM2cGAC+8UJ3t2/dQokRJgyOTpKjFLIOys7OjTZv2LF26iIED37Ms2LtlyyZu3w5L1KKUEuXLV2TYsA8AqFGjFjly5OSTTz5i27atNGny/9ae0NAQ5sxZSN68+SxlEyZ8RlRUJAsWLMPLywuAatVqEBsbw/ffL6VTp9dxd8/O8uXfERoawuLF3/P888WA+y1z777bjxs3rj82xhMnjgEk+4bi4uLCxIlTsbW1tZRNmTKREiVKMXmyr2V9vJo1X6RHj67MmzfL0mo2f/4ccufOw+TJvpaxVDVq1KZjx1aJL8T9LtyvvpqVIAEeP/5TPDw88PWdaxkwW716TUJCQpg3bzYtWryCjY0Nx4//yUsvNaNNm/aWY+vUqW/5+e+/LxEWFkr//oMpXvz/a/49WA8Pi4uLY+7cGZQqVYYvvphs6ZaoUuUFOnVqzaJFXzNmzOcPxB9F794DqF+/IXD/zfrMmVNs3ryRt97qmeDcJUqU4t69e/j7n6BatRrJxiAi1mHHjm2cOXOKXr36kSNHTv7zn88S9Eyo29J6ZfkWMz+/DXTu3AUAe3t7/Pw20LFjZ+D+h7yf3wbLh6e7e3b8/DbQsuX9ddc8PT3x89tgWdcld+7c+PltsNy0NX/+Avj5bbB88D33XBH8/DZQu/b9ux0UK1YcP78NTxx769btMJvNrF+/xlK2evVPVKpUxZL0pEbjxi8l+L1+fR9sbW05evRwgvLixUskSMoA9u37napVq+Hh4UFsbKzlX61aLxIdHY2//3EAjhw5RLFixRPF92A336MEBgZia2uLm5t7ktvr1KmXICn7999/+Pffv2nSpJllHFj82LOaNWtz5swpIiIiuHv3LmfOnKJevQYJBri7uLjw4otJd7NWrVotQVIWFRXF4cN/UK9eQ+zt7RP9HYKDg7h8+RIAZcqUY8OGtSxa9DX+/ieIiYlJcO4CBQrh5ubOhAnj2LhxHVevXnns3+by5UsEBQXx0kvNErzpenl5Ua1aDY4cOZRgf1tbW8tzMV7RosW5fj0g0bnju7MDA28+Ng4RMcaD7yPr1//MvHlzLC3s3bv3SDCcQayXWswysJw5PfHxaYyf3ypee60rJ0/6c+bMKcaM+eIJz+eV4Hc7OzuyZ/cgNDQ0QbmnZ8L9AIKDg9ixYxsNGtRMtA0gJCQEuN8dXKBAoUTbkzpnUqKiIrG3t0/2297D5wkODgJg2rQvmTbtyySPCQsLw8bGhNlsTjCeLl5SZUldKywslHv37rF8+bcsX/5tkseEhoYAMHjw+3h5ebN580YWLJiLs7MLdevWp2/fgXh758LV1ZUZM+bxzTfzmTZtMuHht8mbNz/t2nWkc+cuST7+sLAw4P7zIqlY468dz9nZGXt7+wRl9vb2SXaVxo85i4qKTPJxiYixfv99Fz17dsPPbyMlSpTko49GM27chATjRSVjUGKWwbVv34lfftnI/v172Lp1M56eXpYWutQKDg5M8HtsbCyhoSFkz549QXlSSYGHhwclSpSiR4/eSZ47voXN3T17ouvA/bFnKZE9uweRkZFER0cn+YbzcGzxXbzdu7+T7AQDT09PYmNjMZlM3LoVnGh7UmVJXcvNzR0bGxtatGiVoIvyQYUKFQbuJ0U9e/alZ8++3LoVzO+/72TWLF+uXw9g5syvAShatBiffjoes9nM+fPnWLPmJ2bO/Ao3Nzdatmyd6Nzx9RSfjD4oKCiQ7Nk9kowpJeKTvqc5h4ikrRMnjmNra0vp0mUoWbI0NWrUxmw2A+Dhkb6ztSX9KDHL4MqUKUeZMuVYsmQRZ86cokuXbk+81tTWrZupW7eB5fcdO37j3r17yQ60f1CNGrX5448DFCxY6JGTDqpUeYHvvlvCxYsXeP75/98cdvPmTSmK8bnnigD3J1YUKfL8Y/cvWLAw+fLl58KFc7zzTp9k97O3t6dUqdLs3Lmdvn0HWf6GERER/P77zhTF5uTkRKVKVTh37izFipVIcT3kyJGTli3bcOzYn+zY8Vui7SaTieLFSzBkyHDWrvXj/PlzSZ6nUKHC/2uF20THjq9ZEsfg4CD++ONAgjFsqRXflVqkyLO/oa+IJBYdHU3Hjq9Qu3ZdFixYgpeXF4sWLTM6LEkDSswygQ4dOjF27ChsbW1p3brdE5/n+PE/mTx5AnXr1ufvvy8xb95sihUrQcOGjR97bM+efTl4cD99+/agQ4fOFChQkLt373Llyj/8/vsupkyZga2tLa+++hrr1//MsGGD6NmzLx4eOfjllw3888/lFMVYuXJVAPz9j6coMTOZTAwb9iHDhw9m+PDBNG3awtKtd/78OYKCAhk+/GMAevTow/Dhgxk6dCAdOnTi3r17fPfdUpydXSwtRo8zaNBQ+vd/h4EDe9O6dTty585DePhtLl++xKlT/nz22SQAevXqTu3adShatBiurm6cP3+O7dt/o1at2sD9bgk/v5XUrduAvHnzERcXx+bNG4mLi6NGjVpJXtvGxoY+fQYwbtwnfPjhUFq1asvduxF88818bGxsefvtnkkelxInTx4nZ05PS2IsIs/ezz+vZsOGtcyevQAHBwcWLfqWUqVKGx2WpDElZplA/fo+2NmNoW7dBnh5eT/xeT766BPWrVvDqFEjiIszU7v2i7z77rAUtfx4e+di/vwlLFo0n8WLFxAUFIirqysFChSiZs3altmQnp5ezJgxj2nTvmTSpC9wcnKiXr0GvPfecD74YOhjr5MrV24qVarC7t07kuzOS0r16jWZM2cRS5YsZOrUiYSH318TrFix4jRv3tKyX82atRk3biILFsxh9OgPyZnTk7ZtOxAYGMimTetTdK1ixYqzYMEyFi36mtmzfQkNDcHdPTuFCz9nmRQC9xPMXbt28MMP3xIdHU2uXLlo27YD3bu/A0DBggVxccnGsmXfEBgYiIODA0WKFOHTT8c/cmHdZs1extnZmaVLv2HUqBHY2dlTqVJlxoz5gkKFnkvRY3iY2Wxm9+6dj5wRKiLpIyDgGl5e3tjZ2REYGMjFixcIDQ3BwyMHNWvWNjo8SQcmc3yHdAYXFBROXFzSDyUg4DJ58hR+6mvY2dkQGxv31OdJazt2/MbHHw/H13eupUUpNeIXmF206FuKF7f+dW22bdvKmDEjWb16A97eXulaJ7GxsXTv/jpeXl589dWsdLuONTt8+A+GDOnPsmU/UrBg4okbD7tx4x9y5dINj62Nt7cbN2/eNjoMecDj6uTo0cO0aNGYuXMX0apVa+7du4eNjY2Wukhn6f1asbEx4emZ/JCfLL9cRkb299+XOHBgHzNnTqNs2fJPlJRlRA0aNKJ48ZJ8++2SND3vvXv3mDBhHNu2beXIkUP8+utmhgzpz+XLf9Gly5tpeq2MZPHiBbz88ispSspE5MmZzWY2blzPxo33W+jLl6/Iu+8OpWLFSsD9JW6UlGV+6srMwCZO/JwTJ45RsmRpRo4ck2i72Wx+7L0iH1zzK6MwmUyMGDGS/fv3pPl5b98OY/r0KYSE3MLOzo4SJUoxadI0qlVLehmQzC48PJyKFSvTtm0Ho0MRybTi4uIsLWHTp0/GxSUbzZu/jK2tLSNGfGx0ePKMqSszFay1KzM58V2UjzJ9+hyqVHnhGUWU9jJanWQF6sq0TurKtD7e3m7MmvU1X345nu3b9+Ls7MzVq1fIlSv3E8+ul6dndFemaj4Te/HFusyf/+juvvh1tURE5Nk4fPgPChV6Dm9vNwoWLESFCpUICwvF2dmZfPnyGx2eGEyJWSaWPbuHFgQVEbEif/99mWbNfBgx4mPGjx9HzZq1NbtSElBiJiIiko4WLZpPUFAgw4Z9QKFChVm06Fvq129gdFhipZSYiYiIpLHAwEC8vO7fT/fYsaNcvXoFs9mMyWTi5ZdbEfnzam65OhEZHonTK20NjlasiRIzERGRNLRq1Y8MHNiHXbsO8PzzRZkwYUqie/uGT/qC8P/9rMRMHqR1zERERJ5CbGwsfn4/cfz4nwC8+GI9+vQZgKurG0CipEzkUZSYiYiIPIH41aYiIyN5//0hlkWvc+fOzahRY8iVK5eR4UkGpa5MERGRVJo+fQp79uzmhx9W4erqyoYNWylatJjRYUkmoBYzERGRxzCbzRw4sJ+4uPsLWru6uuHp6UVUVBQAxYuXwMZGH6ny9PQsEhEReYxff91My5ZN2Lx5EwBvv92TmTPn4ejoaHBkktkoMcuioqOjn2jb055bRCQjiImJYfr0Kfj5/QRA/fo+fPXVTOrVa2BsYJLpKTHLBC5d+ouRI0fw8suNaNiwFt26dbZ8q4P798ysU+cFDh7cx9ixo2je3IcuXe7flHrAgF507/46Bw/u55133sTHpzZLly4C4MqVfxk9+kNatLh/3q5dX2XNmlUJrn348B/UqfMCmzdvZMqUCbRq9RI+PlrFWkQyptu3wwCws7Pj55/92L17FwD29va8/npXXFxcjAxPsoAsP/j/zsJ53F00P0X7OrduS7ZhHyYouz3xc6LW+qXs+LfeIdvbvRKUhY54D7uSpRKVp9T58+fo27cHhQs/x+DB75M9uwfbtm1l7NiRREdH0rJlG8u+n38+lvr1fRg79nPLuAiAmzevM378p7z55tsULFgIFxcXgoIC6devByaTDf36DcLT04vfftvCpEmfc+tWMN27v5MgjlmzplO16gt89NEnREREPNFjEREx0pQpE1m48Gv++OM4Tk5OrFmzkWzZshkdlmQxWT4xy+hmzvwKDw8PfH3n4uzsDED16jUJCQlh3rzZtGjximXfmjVrM3jwsETnCA0N5YsvJlOhQiVL2axZ0wkODmbRou8oVqw4ALVqvUh4eDhLly6ifftOuLm5WfZ/7rkijBr1aTo9ShGRtBcdHc3q1Stp0qQpOXN6UqvWi8TExBAbGwM4KSkTQ6grMwOLiori8OE/qFevIfb29sTGxlr+1ar1IsHBQVy+fMmyf3JjIzw8ciRIygCOHPmDokWLW5KyeM2avUxUVBT+/scTlNer1zAtHpKIyDNz8eIFBg7sg5/f/SEatWq9yIgRH1sWhk1P9rXr4NqgAfa166T7tSRjyfItZtne7pXibkQ7OxtiY+MSlLkN/wi34R898fWzT5jyxMeGhYVy7949li//luXLv01yn9DQEMvPnp5eSe6TVHlYWBj58xdMdt+wsNDHnkNExJqYzWY++uh9nJ1dGD16LKVKleaXX7ZRqVKVZx5L9glT8PZ24+bN28/82mLdsnxilpG5ubljY2NDixataNOmfZL7FCpUmKtXrwBgMpmS3Cepcnf37AQHByUqDwoKtGx/3DlERIxmNpvx9z9BuXLlMZlMREfHYGf3/5njlStXNTA6kcSUmGVgTk5OVKpUhXPnzlKsWAns7NKuOqtWrca33y7m/PlzCbozN2/egKOjI2XLlk+za4mIpJdZs3z59NPRHDjwJ4UKFebLL7/SF0mxaoYlZvv37+fNN99MctuGDRsoWrToM44oYxo0aCj9+7/DwIG9ad26Hblz5yE8/DaXL1/i1Cl/Pvts0hOdt1On19m4cR3vv/8uPXr0xsvLm99+28KOHdvo3bt/goH/IiLW4vbtMObMmUnTps2pUKESbdu2x9PTk9y58wBq3RfrZ3iL2bBhw6hWrVqCsgIFChgUTcZTrFhxFixYxqJFXzN7ti+hoSG4u2encOHn8PFp8sTnzZEjJ3PmLGTOHF9mzZrO3bsRFCxYiBEjRtKqVZu0ewAiImkgMjISJycnAObOnYWzswsVKlQiX778dO7cxeDoEruzcB64OHInIuqJl0uSzMlkNpvNRlw4vsVs5syZNG7c+KnPFxQUTlxc0g8lIOAyefIUfuprJDX4X4ylOrE+N278Q65ciSeOiDH2+gewascFgsOiyOnuSLv6RalVNo/RYaWpd9/tx7///sNPP60F4NatYHLkyGlwVI8WWLe65WevXQcMjEQelt6TMmxsTHh6uia/Pd2uLCIihtrrH8DijacJCovCDASFRbF442n2+gcYHdpTuXv3Lj/9tIL4doVq1WpQt259yw3GrT0pE3kUwxOz0aNHU6ZMGapWrUrv3r05ceKE0SGJiGQKq3ZcIPqhFuXo2DhW7bhgUERpY/36n+nb9x327dsDwBtvdGPw4GHY2Bj+kSby1AwbY+bm5ka3bt2oXr06Hh4eXLhwgXnz5vHaa6+xbNkyKlasmKrzPapZ8MYNG+zs0uYFm1bnkbSjOrE+3t6aHGINgsPu33qtydktlrItJZoQHBaVoeooPDycAQMG0KRJE7p06UKPHm9StmwJ6tatm2EH8wc+8HNGqouswsg6MSwxK1OmDGXKlLH8/sILL+Dj40PLli2ZOnUq33zzTarO96gxZnFxcWkyDknjmayP6sQ6adFM65DT3ZGgsCianPvVUralRBNyujtafR3FxcXx99+Xee65Iv9bi+wURYqUsMRdunRlAgPDDY4ybVh7XWQ1GmP2AG9vb+rUqcOff/5pdCgiIhleu/pFcXioRdnBzoZ29a1/OaIhQwbwyivNiI6OxmQysX79Fvr1G2h0WCLpzvDlMh4WP3gzrZnN5gzb5C2SURg0yVuSYZl9ueb/Zd2al7LKWZnXr19n4cK59Os3iOzZPXj99TepX7+hZdyY3r8lq7CqFrObN2+yZ88eKlWqlKbntbW1JyYmKk3PKSKJxcRE4ejoYHQY8oCHkzBrS8piY2MBuHEjgGnTpvD777sBqFGjJu3adUzTO5qIZASGPeOHDh1KwYIFKVu2LO7u7ly8eJGvv/6ayMhI3nvvvTS9lqtrdkJCAsmWLTtOTs7Y2Njq25dIGjGbzcTF3SMy8i537oSSP39eYmKMjkqs3b1793j11TaULVuesWM/p3z5ihw9eoo8efIaHZqIoQxLzEqWLMn69etZtmwZd+/excPDg+rVq9O3b19KlCiRptdyds6GnZ094eEh3LkTSlzcvSc6j42NTbp1tcqTUZ1YBxsbW+ztHciRIxceHh4azCxJCg8P58CBffj4NMbW1pby5StSpMjzlu1KykQMXPk/rT1qVmZaSe+ZGpJ6qhProzqxPtayyvyYMaOYO3cmR4+eJleuXIbFYQ1uT/wcZyd77kbG4Db8I6PDkQcYPStTnfciIpIurlz5lzFjRjJw4HuUL1+Bnj370LLlK1k+KQNwG/6RvsRIkqxq8L+IiGRssbGx3LhxA4Bs2bKxb99eLlw4B0C+fPmpWrWakeGJWD21mImISJpp3bo5rq6uLF++Gg+PHBw+7K+ZlSKpoFeLiEgm59iqjWU8U1r755+/Wb36JwYOHIzJZOLtt3vi7Oxi2a6kTCR19IoREcnk0no8U/ycMZPJxK5dOxg//lNeeqkZpUqVpn37V9PkGpnd7YmfE6vB/5IEjTETEZEUu3HjBs2b+7Bq1Y8AtGvXkT/+OE6pUqUNjixjiVrrR8iPPxK11s/oUMTKKDETEZFHCg0N4ciRQwB4eXnh5eWNg4MjAE5OTuTLl9/I8EQyFXVliojII/Xp04MzZ05z8OAxbG1tWbZshdEhiWRaSsxERDK51I5nOnnSn2nTvmTy5Om4uroxYsTH2NraYWtr+wyiFcnalJiJiGRyUWv9iPrfz8klZtHR0URHR+Hq6kZk5F127NjGqVMnqVatBpUqVXl2wYpkcRpjJiKSxUVERFCjRiW++moyAFWqvMDRo6epVq2GwZGJZD1KzEREsqDz58+xYsX3ALi4uPDmm29Rr14Dy3YnJyeDIhPJ2pSYiYhkQfPnz+HDD98nPDwcgCFD3k+QmEn62esf8MjfJWtTYiYikoWcOXMagCFDhrN372FcXV0Njihr2esfwOKNpxOULd54WsmZWCgxExHJpIKCgvjrr4sJym7dugVA7ty5yZUrlxFhZWmrdlwgOjYuQVl0bByrdlwwKCKxNpqVKSKSCcXFxdGkST3KlCnL3LfeIZuLI3cioqhZs5bRoWVpQWH358duKd4oyXIRJWYiIpnE/v37+PnnVYwbNwEbGxvGj/+SwoWLkK1kKby93SCN7pUpT87T3ZGgsCi2lGiSqFwE1JUpIpKhRUZGEhsbC8CpU/74+a0iIOAaAC+91JySJUsZGZ48pF39ojjYJfzodbCzoV39ogZFJNZGiZmISAZ14cI5qlQpw4YNawF47bU3OHzYn7x58xkcmSSnVtk8dGteCk93R0zcbynr1rwUtcrmMTo0sRLqyhQRyUBOnvTn5s0b1K/fkOeee57mzVtSsGAhABwd1R2WEdQqm4daZfPg7e3GTXUvy0OUmImIZCDvvz+Y8PBwtm/fg62tLZMnTzc6JBFJQ+rKFBGxYtu3/8bLLzfhzp07AEydOgM/v/WYTCaDIxOR9KDETETEyly/HsCtW8EAODk5ExUVRUDAVQBKlChJjhw5jQxPRNKREjMRESsSGBjICy+UZ9682QDUqFGTLVt2ULRocYMjE5FnQYmZiIjBfv11M/PmzQLAy8uLceMm0LFjZwBMJpO6LUWyECVmIiIGiI6Otvy8YcM6Fi2ab1mPrFu3t3n+ea1rJZIVKTETEXnGduzYRoUKJbhw4RwAo0ePZefO/djZaaK8SFanxExE5Bk4evQwp0+fAqB06bLUrdsAs/n+tuzZPbC3tzcwOhGxFkrMRETSWWRkJJ06teWrryYBkCtXLr7++huKFdOAfhFJSO3mIiLpYOXK5Wzdupk5cxbg5OTEkiXLKVOmjNFhiYiVU4uZiEgauXLlX+7duwdASMgt/vnnb27fDgPuL3vh5uZuZHgikgEoMRMRSQMHD+7nhRfK88svGwF4++1erF+/RcmYiKSKVSVmvr6+lCxZktatWxsdiojII5nNZtau9WPjxvUAVK5clffeG06lSpUBsLGxqrdXEckgrGaM2blz5/j666/x8vIyOhQRkWTdu3cPW1tbAHx9p5IzpyfNm7+MnZ0d77//ocHRiUhGZxWJWVxcHB9//DEdO3bk7NmzhIWFGR2SiKTSXv8AVu24QHBYFDndHWlXvyi1yuYxOqw09f33y5g6dRI7duzD2dmZxYu/J1eu3EaHJSKZiFW0tX/zzTcEBAQwZMgQo0MRkSew1z+AxRtPExQWhRkICoti8cbT7PUPMDq0p2I2m9m/fx/BwUEAFCpUmKpVq3H79m0A8ubNZ2k9ExFJC4YnZv/88w/Tp09n9OjRuLq6Gh2OiDyBVTsuEB0bl6AsOjaOVTsuGBRR2vjrr4u0avUSS5d+A8CLL9Zl9uz55MqVy9jARCTTMrQr02w2M3LkSOrUqUPjxo2f6lyens8mqfP2dnsm15GUU50YLzgsCoAmZ7dYyraUaEJwWFSGq59p06YRFhbGqFGj8PauxJo1a2jUqBHZsmUzOrSnltHqIitQnVgnI+vF0MRsxYoVnDhxgg0bNjz1uYKCwomLM6dBVMnz9nbj5s3b6XoNSR3ViXXI6e5IUFgUTc79ainbUqIJOd0dM0T93Lhxw9IKtm/fQYKDg7hxIwyTyUStWg2JiIgjIsL6H8ej6LVifVQn1im968XGxvTIxiTDujKDg4OZNGkSvXv3xtnZmbCwMMLCwoiNjSUuLo6wsDCioqKMCk9EUqFd/aI42CV8O3Gws6Fd/aIGRZRyy5d/R6VKpbh8+RIAkydPZ9myFZhMJmMDE5EsybAWs+vXr3P79m0mT57M5MmTE22vVq0aPXv2ZNiwYQZEJyKpYZl9ueb/Zd2al7LKWZkxMTH4+f1E6dJlKVeuPPXqNWDQoCG4ut7vutDNxEXESIYlZoUKFWLJkiWJyj///HMiIiIYN24c+fLlMyAyEXkStcrmIfCh362J2WzGZDIRFRXJBx8M4/XX36BcufHkzZuPDz4YZXR4IiKAgYlZtmzZqFGjRqJyd/f7ty9JapuIyJOYPHkCf/xxgO+//wlXVzc2b95GkSLW380qIlmP4ctliIikNbPZzN69vxMXd38JDw8PD/LkyUt0dDQARYsW1y2TRMQqWcXK/w9aunSp0SGISAa3adMGunV7je+++5HGjZvSo0dvo0MSEUmRVH1lbNq0KfPmzePmzZvpFY+ISKpFR0czefIE1qxZBUDjxi/h6zuHOnXqGxyZiEjqpCoxs7OzY8qUKTRs2JB+/fqxbds2S1eBiMizFhYWCtyfSbl+/VoOHNhn+b1Tp9dxcnIyMjwRkVRLVVfm+vXrOXr0KCtXrmTjxo1s27YNLy8v2rVrR/v27SlUqFB6xSkiksD48eP49tsl/PHHcRwdHVm3bjMuLi5GhyUi8lRSPcasUqVKVKpUiY8//pgNGzawcuVK5s6dy7x586hWrRodO3akadOmODg4pEe8ImLFHFu1wdnJnruRMWl+7sjISFauXE7Llq/g4ZGDevUa4OjoSGxsLI6OjkrKRCRTMJnN5qe+j9Fff/3FjBkzWL9+PSaTCXd3d1q3bk337t2f2VpkuiVT1qQ6sT7pVScnThzHx+dFJk+eTteu3dP8/JmdXivWR3VinTL0LZnu3bvHli1bGD9+PBs3bsRkMlGjRg0qVqzIsmXLaNGiBVu3bn2aS4hIFmU2mxk69F0+/fQTAMqVK8+WLTt4441uBkcmIpJ+nmi5jAsXLrBy5Up+/vlngoKC8PT05O233+bVV1+1jDO7fPkygwcPZtKkSTRu3DhNgxaRzCkuLg5//+OUL1/xf/eqTNgKXrFiZWMCExF5RlKVmK1cuZKVK1fy559/AlC7dm1effVVGjVqhJ1dwlMVLlyYrl27MnLkyLSLVkQytenTpzBhwmccPHiMAgUKMnnydKNDEhF5plKVmI0cORIvLy969epFx44dKVCgwCP3L1asGK1bt36qAEUk47g98XNi/zf43234R4/dPyTkFrNm+dKqVRvKl69Ahw6dKFiwELlzW9d9NkVEnpVUJWa+vr74+Phga2ubov0rVKhAhQoVnigwEcl4otb6EfW/nx+VmN29exdnZ2dMJhMLF36Nl5cX5ctXoECBghQoUPDZBCsiYoVSlZg1adIkveIQkSyiT58eBAYGsnLlGrJn9+DQoeNkz+5hdFgiIlZBd/EVkXR1584dli//jviVeV58sS4NGzay/K6kTETk/6zuJuYiKbHXP4BVOy4QHBZFTndH2tUvSq2yGpdkjdau9WPQoL4UKVKU6tVraA0yEZFHUIuZZDh7/QNYvPE0QWFRmIGgsCgWbzzNXv8Ao0OTB6xa9SMAbdt2YP36LVSvXsPgiERErJ8SM8lwVu24QHRsXIKy6Ng4Vu24YFBEcu/ePS5eTPj3DwoKBMDR0ZFq1ZSUiYikhLoyJcMJCrs/76/J2S2Wsi0lmljK5dkbOLAPe/bsZlf/d3Fzc+bOnSh69uhldFgiIhmOEjPJcDzdHQkKi6LJuV8tZVtKNMHT3dHAqLKWgIBrzJs3myFDhuHm5s6bb75N8+YtcWnREu88HqD7/4mIPBF1ZUqG065+URzsEj51HexsaFe/qEERZR0xMTHA/cRs9mxf9u3bA0DNmrVo1ap1itc4FBGRpKnFTDIcy+zLNf8v69a8lGZlpqPY2FjatGlB9eo1GT16LJUqVeHo0dPkzp3b6NBERDIVtZhJhvRwEqakLO2FhYWydesvANjZ2VG1ajWKFStu2a6kTEQk7anFTESSNGnSeBYunMexY2fx9PRkzJjPjA5JRCTTU4uZiADwzz9/89Zbb3Dq1EkA+vTpz4YNW/H09DQ4MhGRrEOJmUgWFhMTw/Xr1wFwdXXlyJFDlvXI8ucvQMWKlY0MT0Qky1FXpkgWZTabadGiMd7e3nz33Upy5MjJoUMnNLNSRMRASsxEspC//rrIzz+vZtCg9zCZTPTu3Y/s2bNbtispExExlroyRTI5s9lMXNz9W1jt2rWDiRM/58KF8wB06NCJJk2aGRmeiIg8QImZZFiOrdrg0bEjjq3aGB2K1QoIuEbjxvVYs2YVAB07dubw4ZMJlr0QERHroa5MybDchn+Et7cbN3X7nwSCg4O4fPkSlStXJVeu3OTLlw9nZxcAnJ2dcXZ2NjhCERFJjhIzkUymZ8+3uHz5EgcOHMXGxoalS5cbHZKIiKSQujJFMrjjx4/Rs2d3wsPDARg16j8sXfoDNjZ6eYuIZDR65xbJgKKioggPv9+Fe/fuXX7/fRfnzp0BoFKlKpQuXcbI8ERE5AmpK1MyrNsTPyfWyZ67kTG4Df/I6HCemfDwcGrVqkKXLl354INRVKtWnSNHTuLo6Gh0aCIi8pQMS8wOHz7MzJkzOXv2LCEhIWTLlo0SJUrQo0cP6tevb1RYkoFErfUj6n8/Z/bE7PTpU/z55xE6dXodV1dXevToRfXqNQEwmUxKykREMgnDErOwsDCKFClCu3bt8PLyIiwsjOXLl9OrVy+mTJnCyy+/bFRoIlbBbDZjMpkAWLBgHmvW/MQrr7TF2dmZwYOHGRydiIikB5PZbDYbHUS82NhYGjVqROHChVmyZEmqjg0KCicuLn0fipZmsC6BdatbfvbadcDASNLesWNHGTiwDwsWLKVYseJcv34dOzu7DHFDcb1OrJPqxfqoTqxTeteLjY0JT0/XZLdb1RgzOzs73NzcsLe3NzoUkWfuxo0b3LkTTpEiz5M3b35cXLJx61YwALlz5zY4OhEReRYMT8zi4uKIi4sjKCiI5cuXc+nSJYYPH250WCLP1L1792jSpB6VKlVh8eLv8Pb2ZuPGX40OS0REnjHDuzIHDRrEL7/8AoCrqysTJkygcePGRoYkGcSpUqUtP5c+fcrASJ7M9u3bWb16NdOmTQNg3bp1lCxZkuLFdbskEZGsyvDE7J9//uHWrVsEBgaybt06Nm/ezPjx42nZsmWqzqMxZllPRhxjFhERgaOjI7a2tixYMI/p06ewZctOcuXKZXRoaUavE+ukerE+qhPrZPQYM8MXmC1YsCAVKlTAx8eHKVOmUKdOHcaOHUtcXJzRoYmkqTNnTlO5cmk2blwPwBtvdOOPP45nqqRMRESejuGJ2cPKly9PaGgowcHBRoci8tSOHTvKzp3bAShWrDgtW7ahUKFCADg6Omqii4iIJGD44P8Hmc1mDhw4gLu7Ox4eHkaHI/LUhg8fQmzsPbZu3YmtrS2TJ08zOiQREbFihiVmQ4cOJX/+/JQtW5YcOXJw8+ZNVq9ezb59+xg1ahR2dlaVM4oVcn7rHbK5OHInIurxOz8jv/66mS+/nMCqVetwdnbG13eulroQEZEUMyz7qVy5MmvXrmX58uXcvn0bNzc3ypUrx+zZs/Hx8TEqLMlAsr3dC29vNzB48OyVK/+SLVs2PDxy4OzsAsD16wE891wRihcvYWhsIiKSsRg+KzOtaFZm1mR0nVy/fp0qVcowZMj7DBv2QYLbKGVVRteJJE31Yn1UJ9Ypy8/KFMloNm3awLx5s4D7K/KPHz+ZV199DSDLJ2UiIvJ0lJiJpEBU1P/HsW3atJ5lyxZz7949ALp27U6hQoWNCk1ERDIRJWaSYYWOeI9/+vQldMR76XqdX3/dTPnyxfnrr4sAjB37Odu27cHW1jZdrysiIlmPpj5KhhWzZzcx6XTugwf34+6enZIlS1GuXAUaNXrJss3dPXs6XVVERLI6tZiJPCQiIoLXX+/I9OlTAMidOw+zZ8+nSJHnDY5MREQyO7WYiQA//PAt27f/ypw5C3FxceHbb3+kTJmyRoclIiJZjFrMJMu6fPmS5Z6sISG3CAgIIDw8HIDq1Wvg6pr8dGYREZH0oMRMsqS9e3+nevWKbN36CwC9evXDz2+DkjERETGUEjPJEuLi4vjppxVs2rQBgBdeqM4HH4ykYsXKANjY6KUgIiLG0xgzydRiY2Oxs7PDZDIxa5Yv+fMXoFmzFtjb2zNkyPtGhyciIpKAmgkk01q8eCG1a1clKioKk8nEd9/9yDfffGt0WCIiIslSYiaZhtlsZvfundy6FQzA888XpWbN2pYB/blz51GXpYiIWDV9SkmmceHCedq1a8l33y0DoG7d+kyfPhtPT0+DIxMREUkZjTGTDMv1/Q/Zs2cHd+5E0gooVqw4y5Ytp27dBkaHJiIi8kTUYiYZzvXrAQA4vdKW9TEx+EVEYDabAXjppeY4OzsbGZ6IiMgTU2ImGcq33y6hcuUy/PPP3wAsXLiQBQuWYDKZDI5MRETk6SkxE6sWFRXFd98txd//BAANGvjw3nvDLQvB2tmpN15ERDIPJWZileK7JqOiIhk58gN++mkFAPnzF2DYsA/IkSOnkeGJiIikCzU3iNX54ouxHD9+jO++W4m7e3a2bt1JkSLPGx2WiIhIulOLmRgufv2x+FYyLy9v8ucvSGxsLHB/PTKNIRMRkaxALWZiuHXrfqZHj64sX76ahg0b0bNnX6NDEhERMYRazOSZi4qKYvz4cfz882oAmjZtzuzZ83nxxboGRyYiImIsJWbyzISE3ALAwcGBTZs2cPjwIcvv7du/ioODg5HhiYiIGE5dmfJMfPrpJ6xcuZw//jiOvb09mzb9hpOTk9FhiYiIWBUlZpIuIiIiWLHie9q164C7e3YaNmyEh0cOYmNjsbe3V1ImIiKSBCVmki7Onz/L8OFDcHJyonPnLtSpU486deoZHZaIiIhVU2ImacJsNvPuu/3InTsPH3/8CRUqVOLXX3dTrlx5o0MTERHJMDT4X57YvXv3+PPPIwCYTCbs7e2xtbW1bC9fvoLWHxMREUkFtZjJE5syZSJTp07i0KET5M2bj8mTpxsdkoiISIamFjNJsVu3ghk7drTlhuKdO3dhzpwFeHvnMjgyERGRzEEtZvJYd+7cIVu2bJhMJhYvXkjBgoUoW7YcBQsWomDBQkaHJyIikmkoMZNHevvtrkRE3OGHH1bh4ZGDo0dP4ubmbnRYIiIimZJhidnevXtZs2YNR44cISAggOzZs1OhQgUGDhxIyZIljQory7t9O4z169fSqdPrmEwmGjTwISoqErPZjMlkUlImIiKSjgxLzL7//ntCQkLo3r07RYsWJTAwkPnz59OhQweWLl1KpUqVjAotS/v5Zz+GDBlAyZKlqFy5Km+++ZbRIYmIiGQZJrPZbDbiwkFBQXh6eiYoCwsLo1GjRtSsWRNfX99Uni+cuLj0fSje3m7cvHk7Xa/xrIWGhvDee4No1ao1bdq0JzIyklOn/KlcuarRoaVIZqyTjE51Yp1UL9ZHdWKd0rtebGxMeHq6Jr893a78GA8nZQDu7u4ULlyYgIAAAyLKOmJjY7lw4RwAbm7uXL16hZCQEACcnJwyTFImIiKS2VjV4P/g4GDOnTvHyy+/bHQomVrfvu9w6NBBDhz4Ezs7OzZs2KqFYEVERKyAYV2ZDzObzQwYMICdO3fi5+dH0aJFjQ4p0/jnn3+YNm0an3zyCW5ubuzatYtbt27RsmVLbGy0lJ2IiIi1sJoWs4kTJ7J161a++OKLJ0rKNMYsIbPZTExMDA4ODvj7n2P69OlUq/YiPj6NKVWqEgBBQXeMDTINZKQ6ySpUJ9ZJ9WJ9VCfWKcuOMXvQ1KlTWbhwIR9//DHt2rUzOpwMLzo6mubNfZg06QsAqlatxp9/nsHHp7HBkYmIiMijGJ6YTZs2jTlz5vD+++/z5ptvGh1OhnXrVjBbtmwCwMHBgRo1alOixP/Xg/Py8jIqNBEREUkhQ7syZ8yYwaxZs3j33Xd55513jAwlw5s06QuWLv2G48fP4uGRgzFjPjM6JBEREUklw1rMFi5ciK+vLw0bNqR27docPXrU8u/kyZNGhZVhXLr0F127duLMmdMA9Os3iF9+2Y6HRw6DIxMREZEnZViL2bZt2yz/x/8cL3/+/Pz2229GhGXVoqOjuXUrmNy58+Dq6oa//wkuXfqLkiVLUaBAQaPDExERkadkWGK2dOlSoy6dIZnNZl56qQEFCxZk6dLleHl58ccfx7XchYiISCZiNctlSGLnz59j7Vo/Bg8ehslkYsCAd/Hy8rZsV1ImIiKSueiT3cqYzWbi4uIA2LVrB1OnTuLSpb8A6NChEw0a+BgZnoiIiKQjJWZW5MqVf2nQoBbr1/8MQOfOXTh8+CRFijxvcGQiIiLyLCgxM9jNmzc5dOggAHny5KVw4edwcXEBwNnZWeuPiYiIZCEaY2awnj27ce3aVfbtO4KtrS1LlvxgdEgiIiJiELWYPWNHjx7mrbfeICIiAoD//Gccy5atwGQyGRyZiIiIGE2J2TNw9+5dwsPv3xA1MjKSP/44wIUL5wCoVKkKxYuXMDI8ERERsRJKzNJZWFgoVauWZdYsXwBq1KjF4cP+lC9f0eDIRERExNooMUsHJ04c54cfvgXA3T07vXr1o0GDRgCYTCbs7e2NDE9ERESslAb/pxGz2WwZJ7Zw4Tw2blxHmzbtcXJyYvDgYQZHJyIiIhmBWszSwOHDf1CnTjUuXjwPwIgRI9m79zBOTk4GRyYiIiIZiVrMntC1a1eJjIykSJHnyZ+/IDly5CQ0NBSA3LlzGxydiIiIZERKzJ5AbGwsjRvXo0aNWixcuJTcuXOzbt1mo8MSERGRDE6JWQrt2LGNnTu3MmrUZ9jZ2TF1qi8lS5Y2OiwRERHJRJSYpZDNiu9xO3yQwBy58BrwLi+91NzokERERCST0eD/FCp97Chv2NnD8m+NDkVEREQyKSVmIiIiIlZCiZmIiIiIlVBiJiIiImIllJiJiIiIWAklZiIiIiJWQstlpJBjqzY4O9lzNzLG6FBEREQkk1JilkJuwz/C29uNmzdvGx2KiIiIZFLqyhQRERGxEkrMRERERKyEEjMRERERK6ExZil0e+LnxP5v8L/b8I+MDkdEREQyISVmKRS11o+o//2sxExERETSg7oyRURERKyEEjMRERERK6HETERERMRKKDETERERsRKGDv4PCAhg/vz5+Pv7c/r0aSIiIliyZAk1atQwMiwRERERQxjaYnb58mXWr1+Pi4sLNWvWNDIUEREREcMZmphVq1aNvXv3smDBAtq3b29kKI+01z/gkb+LiIiIpAVDEzMbG+sf4rbXP4DFG08nKFu88bSSMxEREUlz1p8ZGWzVjgtEx8YlKIuOjWPVjgsGRSQiIiKZVaZZ+d/T0zVdzhscdn+9/y3FGyUq9/Z2S5drSuqoHqyP6sQ6qV6sj+rEOhlZL5kmMQsKCicuzpzm583p7khQWBRbSjRJVH7z5u00v56kjre3m+rByqhOrJPqxfqoTqxTeteLjY3pkY1J6sp8jHb1i+Jgl/DP5GBnQ7v6RQ2KSERERDKrTNNill5qlc0D3B9rFhwWRU53R9rVL2opFxEREUkrSsxSoFbZPNQqm0fNziIiIpKuDE/MNm3aBMDx48cBOHjwILdu3cLZ2Zn69esbGZqIiIjIM2V4Yvbuu+8m+N3X1xeA/Pnz89tvvxkRkoiIiIghDE/Mzpw5Y3QIIiIiIlZBszJFRERErIQSMxERERErocRMRERExEoYPsYsrdjYmDLVdSTlVCfWR3VinVQv1kd1Yp3Ss14ed26T2WxO+/sYiYiIiEiqqStTRERExEooMRMRERGxEkrMRERERKyEEjMRERERK6HETERERMRKKDETERERsRJKzERERESshBIzERERESuhxExERETESmSaWzKlhzt37jB16lQ2bdpEWFgYxYoVo3///jRq1Mjo0LK0gIAA5s+fj7+/P6dPnyYiIoIlS5ZQo0YNo0PLkvbu3cuaNWs4cuQIAQEBZM+enQoVKjBw4EBKlixpdHhZ1uHDh5k5cyZnz54lJCSEbNmyUaJECXr06EH9+vWNDk/+x9fXlxkzZlCqVCnWrFljdDhZ0v79+3nzzTeT3LZhwwaKFi36TONRYvYIAwYM4OTJkwwbNowCBQqwevVqBgwYwJw5c/TGZqDLly+zfv16ypQpQ82aNfntt9+MDilL+/777wkJCaF79+4ULVqUwMBA5s+fT4cOHVi6dCmVKlUyOsQsKSwsjCJFitCuXTu8vLwICwtj+fLl9OrViylTpvDyyy8bHWKWd+7cOb7++mu8vLyMDkWAYcOGUa1atQRlBQoUeOZx6F6ZydixYwe9evVixowZNGnSBACz2czrr79OSEgIGzduNDjCrCsuLg4bm/u98Fu3bqV///5qMTNQUFAQnp6eCcrCwsJo1KgRNWvWxNfX16DI5GGxsbE0atSIwoULs2TJEqPDydLi4uLo3Lkz5cuX5+zZs4SFhanFzCDxLWYzZ86kcePGRoejMWbJ2bJlC25ubgm6LU0mE23btuXixYucP3/ewOiytvikTKzDw0kZgLu7O4ULFyYgIMCAiCQ5dnZ2uLm5YW9vb3QoWd4333xDQEAAQ4YMMToUsTL6hEvGuXPnKFasWKIkIH7MzNmzZ40ISyRDCA4O5ty5cxQvXtzoULK8uLg4YmNjuX79OtOnT+fSpUt069bN6LCytH/++Yfp06czevRoXF1djQ5H/mf06NGUKVOGqlWr0rt3b06cOGFIHBpjloyQkBCee+65ROXZs2e3bBeRxMxmM6NGjSIuLo4ePXoYHU6WN3jwYH755RcAXF1d+eqrr6hXr57BUWVdZrOZkSNHUqdOHavoNhNwc3OjW7duVK9eHQ8PDy5cuMC8efN47bXXWLZsGRUrVnym8SgxewSTyfRE20SysokTJ7J161a++OKLZz6bSRJ7//33eeeddwgMDGTdunUMHjyY8ePH07JlS6NDy5JWrFjBiRMn2LBhg9GhyP+UKVOGMmXKWH5/4YUX8PHxoWXLlkydOpVvvvnmmcajxCwZHh4eSbaKhYaGAv9vOROR/5s6dSoLFy7k448/pl27dkaHI0DBggUpWLAgAD4+PvTp04exY8fSokULjdd8xoKDg5k0aRK9e/fG2dmZsLAw4P6kjLi4OMLCwnB0dMTR0dHgSMXb25s6deoYMutfr8pkFCtWjAsXLhAXF5egPH5sWYkSJYwIS8RqTZs2jTlz5vD+++8nuyaQGK98+fKEhoYSHBxsdChZzvXr17l9+zaTJ0+mWrVqln+HDx/m7NmzVKtWTbOYrcjDn//PilrMktGkSRNWrlzJb7/9lmAcgJ+fH0WKFKFYsWIGRidiXWbMmMGsWbN49913eeedd4wOR5JhNps5cOAA7u7ueHh4GB1OllOoUKEklyn5/PPPiYiIYNy4ceTLl8+AyORhN2/eZM+ePYasw6jELBn169enRo0afPzxx4SEhFCgQAH8/Pw4dOgQs2bNMjq8LG/Tpk0AHD9+HICDBw9y69YtnJ2dtfjvM7Zw4UJ8fX1p2LAhtWvX5ujRo5ZtDg4OCcZuyLMzdOhQ8ufPT9myZcmRIwc3b95k9erV7Nu3j1GjRmFnp7f/Zy1btmxJrrfo7u4OoLUYDTJ06FAKFixI2bJlcXd35+LFi3z99ddERkby3nvvPfN4tMDsI4SHhzNlyhR++eWXBLdk0kwa4yV3q5/8+fPrTgDPWNeuXTlw4ECS21Qfxlm2bBlr167l0qVL3L59Gzc3N8qVK0eXLl3w8fExOjx5QNeuXbXArIHmzZvH+vXruXLlCnfv3sXDw4Pq1avTt29fQ4YtKTETERERsRIa/C8iIiJiJZSYiYiIiFgJJWYiIiIiVkKJmYiIiIiVUGImIiIiYiWUmImIiIhYCSVmIiIiIlZCiZmIiIiIlVBiJiIiImIllJiJiIiIWAklZiIiQGxsLJ07d6Zy5cpcuHAhwbbly5dTsmRJpk2bZlB0IpJV6F6ZIiL/c+XKFdq0aUO+fPlYsWIFjo6OnDt3jg4dOlC2bFmWLl2Kra2t0WGKSCamFjMRkf/Jnz8/n332GadPn2bChAlERkby3nvv4ejoyJdffqmkTETSnZ3RAYiIWJOXXnqJ1157jW+//ZaTJ09y9uxZfH19yZcvn9GhiUgWoK5MEZGHREVF0bJlS/7++29effVVPv30U6NDEpEsQl2ZIiIPOXPmDNeuXQPg3LlzxMbGGhyRiGQVSsxERB4QHh7OkCFD8PDwYMiQIRw5cgRfX1+jwxKRLEJjzEREHjB69GiuXr3KwoULqVWrFqdOnWLevHnUqlWLmjVrGh2eiGRyajETEfmfH3/8kfXr19OrVy9q1aoFwKeffkrevHl5//33uXXrlsERikhmp8H/IiLAhQsXaN++PaVKlWLZsmXY2f2/Q+HIkSO88cYb1K1blzlz5hgYpYhkdkrMRERERKyEujJFRERErIQSMxERERErocRMRERExEooMRMRERGxEkrMRERERKyEEjMRERERK6HETERERMRKKDETERERsRJKzERERESshBIzERERESvxX/TPPEw9iC0mAAAAAElFTkSuQmCC\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# finding the \"best\" (by eye) slope and intercept\n", "show_fit(x, y, 1, 1.5)" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# computing / verifying MSE\n", "show_fit(x, y, slope=0, intercept=np.mean(y))" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([ 3. , 0.5, 0. , -1. , -0.5, -2. ])" ] }, "execution_count": 23, "metadata": {}, "output_type": "execute_result" } ], "source": [ "\n", "y_pred = x * 0 + np.mean(y)\n", "error = y_pred - y\n", "error" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "2.4166666666666665" ] }, "execution_count": 24, "metadata": {}, "output_type": "execute_result" } ], "source": [ "\n", "error_sq = error ** 2\n", "mse = np.mean(error_sq)\n", "mse" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "2.4166666666666665" ] }, "execution_count": 25, "metadata": {}, "output_type": "execute_result" } ], "source": [ "\n", "# what a coincidence ...\n", "np.var(y)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## ICA 1 motivates two questions:\n", "1. How can we avoid guessing and checking and find the best $a_0, a_1$?\n", "1. What is the relationship between MSE and the sample variance of y?" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## How can we avoid guessing and checking and find the best $a_0, a_1$?\n", "\n", "```python\n", "from sklearn.linear_model import LinearRegression\n", "\n", "x = np.array([0, 1, 2, 3, 4, 5])\n", "y = np.array([1, 3.5, 4, 5, 4.5, 6])\n", "\n", "reg = LinearRegression()\n", "reg.fit(x, y)\n", "slope = reg.coef_[0]\n", "intercept = reg.intercept_\n", "```\n", "\n", "which yields\n", "\n", " ValueError: Expected 2D array, got 1D array instead:\n", " array=[0 1 2 3 4 5].\n", " Reshape your data either using array.reshape(-1, 1) if your data has a single feature or array.reshape(1, -1) if it contains a single sample.\n", " \n", "### don't forget\n", "\n", "the input $x$ of all our sklearn models must have shape (n_samples, n_features)\n" ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(6,)" ] }, "execution_count": 26, "metadata": {}, "output_type": "execute_result" } ], "source": [ "x = np.array([0, 1, 2, 3, 4, 5])\n", "x.shape" ] }, { "cell_type": "code", "execution_count": 33, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[0],\n", " [1],\n", " [2],\n", " [3],\n", " [4],\n", " [5]])" ] }, "execution_count": 33, "metadata": {}, "output_type": "execute_result" } ], "source": [ "x.reshape((-1, 1))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "this is a 1d array, sklearn can't identify whether its:\n", "- a single sample with 6 distinct features? (no)\n", "- 6 distinct samples each with one feature? (yes)" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(6, 1)" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" } ], "source": [ "x = x.reshape((-1, 1))\n", "x.shape" ] }, { "cell_type": "code", "execution_count": 34, "metadata": {}, "outputs": [], "source": [ "from sklearn.linear_model import LinearRegression\n", "\n", "x = np.array([0, 1, 2, 3, 4, 5])\n", "y = np.array([1, 3.5, 4, 5, 4.5, 6])\n", "\n", "# reshape x to specify it is 1 feature and many samples\n", "x = x.reshape((-1, 1))\n", "\n", "# initialize sklearn model\n", "reg = LinearRegression()\n", "\n", "# fit the model\n", "reg.fit(x, y)\n", "\n", "# same as a_1\n", "slope = reg.coef_[0]\n", "\n", "# same as a_0\n", "intercept = reg.intercept_" ] }, { "cell_type": "code", "execution_count": 35, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "show_fit(x, y, slope, intercept)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "ICA 1 motivates two questions:\n", "1. ~How can we avoid guessing and checking and find the best $a_0, a_1$?~\n", " - `from sklearn.linear_model import LinearRegression`\n", "1. What is the relationship between MSE and variance of y?" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## What is the relationship between MSE and the sample variance of y?\n", "\n", "Remember,\n", "$$\n", " MSE = \\frac{1}{n}\\sum_j{( \\hat{y_j} - y_j)^2}\n", "$$\n", "\n", "Look familiar?\n", "$$\\sigma^2 = \\frac{1}{n}\\sum_j{(\\bar{y} - y_j)^2} $$\n", "where $\\bar{y}$ is the mean of our observed samples of $y$.\n", "\n", "\n", "# Sample variance is the MSE of a line which predicts each $\\hat{y}_j = \\bar{y}$\n", "\n", "What kind of line would give the same prediction (the sample mean) for each sample?\n", "- a horizontal line at the sample mean" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x = np.array([0, 1, 2, 3, 4, 5])\n", "y = np.array([1, 3.5, 4, 5, 4.5, 6])\n", "y_sample_mean = y.mean()\n", "show_fit(x, y, slope=0, intercept=y_sample_mean)" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "2.4166666666666665" ] }, "execution_count": 22, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# feel familiar? (see MSE in graph above)\n", "np.var(y)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## An Intuition Honing Example: MSE and Variance of Y\n", "\n", "Whats the minimum MSE of predicting $\\hat{y} = a_1 x + a_0$ where:\n", "- y = stock price increase on a given day\n", "- x = number of coffees consumed by CEOs parents on the same day" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "-" } }, "source": [ "1. As x increases, we don't observe changes in y\n", " - assume: x and y uncorrelated\n", "1. Therefore, slope = $a_1 = 0$\n", "1. To minimize MSE our best y prediction is to assign intercept = $a_0 = \\bar{y}$\n", "1. From above, an estimate of MSE of this model is sample variance: `np.var(y)`" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "-" } }, "source": [ "# Variance of Y is the \"worst\" MSE you will get\n", "\n", "- At worst, if you try to predict some y using uncorrelated x\n", " - MSE = Var(y)\n", "- As x shows some stronger correlation with y (making it useful for prediction)\n", " - MSE decreases\n", " \n", "#### Don't forget: \n", "MSE is always positive\n", " - error is a \"distance\" from `y_true` to `y_pred`" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## $R^2$ is the percentage of variance of y which can be explained by the model\n", "\n", "$$R^2 = 1-\\frac{MSE}{\\sigma_y^2}$$\n", "\n", "$R^2$ is the percent of variance of y explained by x (under model)\n", "\n", "Intuition:\n", "- $R^2 = 0$\n", " - x, using this model, doesn't explain any of the variance of y\n", "- $R^2 = .5$\n", " - x, using this model, explains half the variance of y\n", "- $R^2 = 1$\n", " - x, using this model, explains all the differences in y" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "data": { "image/png": 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8du7cOWbPns2aNWs4ePAg8+bNS/J9ySjLZTxZ7w8ePEjyruz49+953qNhw4axfv16vL29mTt3rknu/o5XsmRJJk6cyKBBg1i6dClLly417suTJw8fffQRU6dOtbi14zI7JWaZkJOTEy1atGDp0qWsW7eOdu3asXz5cuLi4mjXrt1ThxBSIzWfoG7evEn//v2Jioqie/fuNGvWjHz58uHo6IiVlRUTJkzgxx9/NPYSmMrYsWPTNJTZrl07k8aRVtu2bWPgwIFYW1szceJEateunaZy4ns4/v333zSdb4rFfUNCQti/f7/x+5MnT1KpUqVUl/O0pw/EL5WR0mEuS2FtbU2hQoUIDQ1N8P7ET/i/efPmU8+NvxszX7586RJbnTp18PT0ZO3ateTOnRt7e3uaNm2a5vJKlCjBuHHjuHfvHr/99hvbt29P14Q5NDSUcePGpfq8tm3bJlg64mmcnJxwdXUlPDycmzdvJpkwxd89mdb3aOzYsSxZsgRPT0/mzp2b7JzDtGrYsCFVqlRh06ZNXLhwAYPBQMmSJXn99deNP29ZZR6opVBilkm98847xk9ALVu2ZOXKldjY2NC+ffsXHsvOnTuJioqiUaNGfPrpp4n2x99taGqbN29O06RbS0jMdu3aRd++fYmLi2P8+PHP1csZv4ZSevWsPIvBYGDQoEHcvn2bJk2asHPnTr777juqVq2aZe+wfVL8BPInb5YpUqQIDg4OhIWFcePGjUR/2KOjo41TANKrDm1sbGjevDlz5szh9u3bNG7c2CQ9JzVr1uS3335L9Yem1IqMjEyyB/VZqlWrlqLEDB73OB08eJDTp08nmbzEL0eR0htvnvTDDz8wZ84c3N3dmT9/frJPQ3heOXPmTHLuavySLU+7C1fShxKzTKpYsWJUq1aNQ4cOMXHiRIKDg2nQoEG6fOJ6lvjEIKnhz9DQUPbt25fkefHDZck9/iU5Ga33JN7+/fvp3bs3MTExjBo16rl6KQDjKuv/XcX/RZk7dy579uyhTJkyjBs3joCAAL7++mv69u1rXEU+qzp37hx//fUXkHDJBXt7e+rUqcNvv/3G+vXr+fDDDxOct23bNqKjoylTpky6/ky3atWKVatWAaRoeNFgMDxzXlz8B7E8efI8f4DJyJ8/P+fOnUvXa/j5+XHw4EHWr1+faJ7nrVu3OHr0KHZ2dokm1j/Ljz/+yPTp03F1dWXOnDkpWjfQ1I4ePcoff/xhsukvknKa0ZeJvfPOOwDMnj0bMM2k/7SIf3TIli1bEqzbFBkZyeDBg5867yz+F3dSk70zshMnTtC4ceMkH6Vz/PhxevbsSVRUFEOGDEnRH8Pr16/z888/J7pzKjY2lvnz5xsX/X333XdN8wJS4dSpU0yYMAFHR0fGjx+Pvb097du3p3Hjxly5ciXdnvX4ot26dcv4nv538c9FixYl2YZPnDjBJ598Ajy+o/m/icoHH3wAPP4jff78eeP2oKAgvvvuuwTHPMnf358SJUrQqVOn53tRPB7COnjwIAcPHkxRcnHu3Dk6d+7Mjh07kvxAtWXLFuNNSM/7gcMStG3blpw5c7J7924CAgKM26Ojoxk8eDAxMTHGY560aNEiGjduzMCBAxOVuXDhQiZMmICTkxOzZs1K917lEydOJLktvm0OGTIkyZs0JP2oxywTa9CgAV5eXgQFBVGgQAHq1q1rljjq169PyZIlOXv2LI0aNaJatWrY2tpy+PBhrK2tad26tfFT+ZPq1KlD9uzZ2bJlC2+//TYFCxbE2toaPz8/k63j87ymTp1qnFQff8PDvXv3EgwZt2vXLsHw6IMHD4y9JP/14YcfEhkZiaenJ3/++Sd//vlnksc9ebdZREQEQ4YMYezYsZQtW5bcuXMTERHB+fPnCQoKwsrKij59+qT6U/vzun//Pv369ePRo0cMHz48wd18I0aM4OTJk6xatYpatWrRvHnzFxpbclasWMGKFSsSbe/cubNxbqWvr2+Cx1I9evTI+J7+947VFStWMHz4cHx8fChcuDBWVlZcu3aNM2fOYDAYKF++fKK7NuHx3Ym9evVi6tSptG7dmlq1amFnZ8e+ffuIjIykTZs2SSY38Q+hN8Vc0tQyGAwcOHCAAwcO4OTkROnSpcmdOzf379/n0qVLxgVSmzZt+tQpAytWrEj2Bo+UzgF7EZycnPjuu+/o0aMHgwYN4ueff8bLy4tjx44RFBREyZIljY/PetKdO3f466+/Eq3rdubMGUaOHAk8XgJnyZIlLFmyJNH5Sd1pnJZ2C49/P3l7e1OsWDGcnZ25cuUKgYGBWFtbM3jwYBo2bJi6SpHnpsQsE7O1taVq1aqsXbuWDh06mO3Wezs7OxYtWsSUKVPYsWMHv//+Ozlz5sTPz48+ffqwfPnyJM/z9PRkxowZTJ06lTNnznDkyBEMBgNeXl4Wk5j9/fffiZKnmJiYBNtSkxDH9x7evn072fkxTyZmXl5edO3alZMnT3L16lX+/PNPDAYDefLkoUWLFrz11ltUrFgxxTGYyrfffsvVq1dp1qxZovWknJ2dGT9+PO+88w5DhgyhQoUKKV4/Kr0FBQUlmRCfPHnS+PV/HyCdnHfeeYc9e/Zw7tw59u3bZ7yDr0aNGjRt2pRWrVo99S7XTz75hJIlSzJ//nz++OMPDAYDRYoUoWPHjk9NbOJXmX/ag+7TU/HixVm4cCF79+7lyJEjXL9+3ViXuXLlolGjRrzxxhvJDo0dPXqUo0ePPnV/auaAvQh169Zl5cqVTJs2jUOHDhEYGEjevHnp3r073bt3T3Ytuv+KiIgw3gR15syZpz4xIKk7jdPabt977z0OHTrE8ePHiYyMJFeuXLRo0YL33nsvTXPj5PlZGUx9K5xYjPv371O3bl3js9rc3d3NHZKIpKOYmBiqVavGSy+9xC+//GK2D2MiknaaY5aJzZ07l/v379OsWTMlZSJZwIkTJ7h//z4DBgxQUiaSQanHLJO5fPkys2fPJigoiL1795ItWzbWrl1LgQIFzB2aiIiIPIPmmGUyt2/fZuXKlTg4OFC2bFkGDBjw1KRs27ZtbNu2LUXlmvuxNiIiIlmBesyyMH9/f6ZMmZKiY6tVq/bUVddFRETENJSYiYiIiFgITf4XERERsRBKzEREREQshBIzEREREQuhxExERETEQigxExEREbEQSsxERERELIQSMxERERELocRMRERExEIoMRMRERGxEErMRERERCyEEjMRERERC6HETERERMRCKDETERERsRBKzEREREQshBIzEREREQtha+4ATOXOnfvExRnS9RoeHk6EhNxL12tkJapP01Odmpbq0/RUp6al+jS99K5Ta2srcubM8dT9mSYxi4szpHtiFn8dMR3Vp+mpTk1L9Wl6qlPTUn2anjnrVEOZIiIiIhZCiZmIiIiIhVBiJiIiImIhlJiJiIiIWAglZiIiIiIWItPclfksjx5Fc/duGDEx0cTFxaapjH//tSYuLs7EkWVdqk/TM1edWlvbYGtrj7OzG3Z29i/8+iIimUWWSMwePLjP3bt3cHJyxcHBHWtrG6ysrFJdjq2tNTExSiRMRfVpeuaoU4PBQFxcLFFRD7hz51+cnXOSPfvT1+gREZGnyxKJ2b174bi55cLePpu5QxHJdKysrLCxscXR0RlbWzsiIkKVmImIpFGWmGMWG/sIOzsHc4chkunZ2TkQE/PI3GGIiKSKwWA5i/RmicQMSNPQpYikjn7ORCSjmTdvNi1aNLGY5CzLJGYiIiIiBoOB/fv38vDhQwCcnJzIlcuTu3cjzBzZY0rMREREJMs4dOggLVo0Yc2aVQC0bduBOXMW4uLiaubIHssSk/8leVevXmHbts00bdqcvHnzmTscERERk4mLi2PMmBHkyeNF167dqFatOjNmzKZx49cTHXt33Chistnx4OEjnAd+aYZo1WMmPE7M5s79iZs3b5g7FBERkedmMBi4du0qANbW1vz55zHOnz8LPJ4L27p1OxwdHROdF7U2gLAVK4haG/Aiw01APWaSatHR0djbaxFRERGxTGPHjmDGjGmcOHEWFxdXFi9ega1txkh51GOWgW3Zsok6dapw6tTJRPv8/SfQsGE97t+/l2wZGzas5csvBwDwySfdqVOnCnXqVOHo0T8AaNu2OV980Z+tWzfRqVN7XnmlBtu2bebmzRvUqVOFDRvWJiqzTp0qzJ79Y4JtV678xeDBg3j99QbUr1+Tzp07snnzxrS+dBEREaOQkBDGjBlu7CVr3rwVQ4eOND6JJKMkZaAes+eyPzCIVbsuERIRhYeLA619i1KzjNcLu76f36tMnfoDq1evoGzZcsbtUVEP2bBhHY0aNSFHDqdky6hZsw49evRm+nR/+vUbhI9PSQAKFy5sPOb06UCuXPmLLl0+wMMjF7lyeaYqzosXL9CjR1cKFXqJvn0/w9XVjR07tjFkyFc8ePCAZs1apqo8ERERg8HAgwcPcHR05OHDB0yZMomCBV/irbc6UaZMWcqUKWvuENNEiVka7Q8MYv7Gs0T/7/E3IRFRzN/4ePz6RSVntra2tGzZhoUL59K7dz/c3NwA2Lp1E3fvRtC6dbtnlpEzZ04KFCgEwEsvFU6Q4MULDw9jxow5CW4MSM18tKlTf8DNzQ1//x/Jnj07ANWq1SAiIpyZM6fTtOkbWFur81ZERFLGYDDQtu0b5M6dh+nTZ+HtnZ/jx8+SK1cuc4f23Mz21/DgwYOUKFEiyX+XLl0yV1gptmrXJWNSFi86Jo5Vu15s7C1atMZgMLB+/RrjttWrf6FixcoUKVLMJNcoXtwnzXdrRkVFcfToH9SrVx87OztiYmKM/2rWrE1oaAhXr14xSZwiIpJ53boVxOLFC4DHE/gbNHiNWrXqGPdnhqQMLKDHbMCAAVStWjXBtvz585spmpQLiYhK1fb04u7ugZ/fqwQErOLNNztx+nQg586dYejQ0Sa7hodH2ht7REQ4sbGxLFu2mGXLFid5THh4WJrLFxGRzM1gMGBlZcWKFcsYPvwb6tb1pWDBQvTs2dvcoaULsydmhQsXpmLFiuYOI9U8XBySTMI8XF78MznbtOnA5s0bOXhwH9u2bcHDIxe+vvVNVn5Sj9mJvyszOjo6wfb/JlnOzi5YW1vTtGlzWrZsk2CfjY01sbFxFCxYyGSxiohI5nDt2lW6devCwIFf4ef3Kp06daZp02bp9jdjf2AQxf/z/YucNx7P7IlZRtXat2iCOWYA9rbWtPYt+sJjKV26LKVLl2XBgrmcO3eGt9/unKo7UOzs7IDHw44p5e7ugb29A5cuXUywfc+eXQm+z5YtGxUrVubChfMUK+aTIC5bW2ti/jMcLCIiWdetW7f4998gypWrgJdXXrJly05sbAwArq5uuLq6pct14+eNj3hi24ueNx7P7InZN998wyeffEL27NmpUqUKvXv3pmxZy7+TIv6NMuddmU9q27YDw4Z9jY2NDS1atE7VuYULF8HKyop16wLIkSMH9vb2FCxYCEfHHE89x8rKitdea8z69b/i7e1NsWI+nDkTyNatmxId+8kn/enV6wN69/6IFi1akyePF/fu3eXvv68RGHiSkSO/S/XrFRGRzKdTp/bExsbx2297sLe3JyBgwwu5bnLzxrNMYubs7Eznzp2pVq0abm5uXLp0iZkzZ/Lmm2+yaNEiKlSokKryPDyevizEv/9aY2trmvscniynboV81K1gGY8watDgVUaNGoqvb328vPKk6tz8+b3p06cfP/+8hN69PyI2NpapU2fy8stVgMdJWFL19+mn/bG2tmbJkoU8eBDJyy9XZfz4SbRq1Qxr6/8/p2TJEsybt5g5c35ixgx/wsLCcHFx5aWXCtOgQUOTvTfymLnr09raGk9PZ7PGYEqZ6bVYCtWpaWXk+ty5cycTJ05k5cqV2NnZMXXqFDw9PV/4awr939SkrcUbJNr+omOxMhgMhhd6xWTcvn2bZs2aUapUKebNm5eqc0NC7hEXl/RLCQq6ipfX849JW/LQ265d2/nqq4H4+/9IpUovmzucFLHk+syoLKFOTfXzZgk8PZ25ffuuucPIVFSnppUR6/P27dtkz54NJydntm3bzODBn7NkyQqTrSSQFp9N2/vUeePf9axt0mtZW1sl25lkUV0Vnp6e1KlThz///NPcoWQY165d4dChA0ydOokyZcplmKRMRESynhs3rlOpUikWLJgHgJ9fQ/btO2LWpAwezxu3/89og7nmjZt9jtl/xcWpByU1xo0bxalTJyhRohSDBw9NsM9gMBAbG5vs+TY2NknedSkiImIKa9euITj4Nu+99wH58nkzePC3NGzYCMBiFhd/ct54aEQU7macN25Ridnt27fZt29fhlw+w1ymTJn51H0bN65j1KihT90PMHnyDCpXrmLqsEREJAu7f/8+OXI8voFs3boALl++TJcuXbGysqJ794/NHF3SapbxomYZL7MPD5stMevfvz8FChSgTJkyuLi4cPnyZX766ScePnxIv379zBVWplK7dl1mzVqQ7DFaQ0xERExp9eqV9Ov3Cfv2/UHevPkYO3YCLi6uGp1JIbMlZiVKlGD9+vUsWrSIBw8e4ObmRrVq1ejRowc+Pj7mCitTSc81X0RERABiYmLYsGEtJUqUokSJklSuXIV27ToYEzE3t5xmjjBjsai7Mp9HVr8rMyNSfZqeJdSp7sqU5KhOTcuc9Rn/qKTw8DAqVChJ585dGTp0pFliMaX0rtNn3ZVpUXPMRERExPKNHDmUc+fOsmDBUlxd3diw4TdKlChp7rAyBcu4HUJEREQsVkxMDL/9toX4QbacOd3Jk8fLeOd/6dJlsLGxMWeImYZ6zERERCRZq1evpFevbgQEbKBWrTr07Nnb3CFlWkrMREREJIF79+4xZMiX+PrW5403WtG8eUucnJypXr2muUPL9DSUKSIiIsTGxvLXX5cBcHR05PjxY1y7dg2AbNmy0aTJ6xqufAHUYyYiIiL06vUhhw4d5NChP7G1tWXr1l0WszJ/VqIaF4tw9Ogf1KlThaNH/0jR8bNmzaBr107pHJVlu3nzBnXqVGHDhrXpdo179+7RuHF99uzZmW7XEBHzuHr1Cp9/3p979x4vDdGlywcMGzbauP6YkjLzUK1LhnPrVhBLly7kgw+6mzsUs/LwyMWMGXOpWbNOul3DycmJjh3fZurUScTExKTbdUTkxYiNjeX+/fsAhIQEs2TJQo4ePQJAjRq1aNbsDQ1XmpkSM3lu0dHRL/R6K1b8jIdHLmrWrJ3scTExMc98iLupxMXFvfDExd7enrJly5EzZ/quqt2iRWtu3rzBzp2/pet1RCR9PXz4kNq1q/DDD98DULlyFU6cOEe9eq+YNzBJQHPMMqgtWzYxbNhgZsyYS9my5RLs8/efwK+/BhAQsIEcOZ6+unC8DRvWMmrUUCZOnMr69b+yf//vGAxQs2Zt+vYdQM6c7sZj27ZtTvHiPvj5NWTBgjn8/fc1Bg78iqZNm/Pvv7eYNWsGBw/uIzw8HC+vfLRu3Zb27d9KcL0rV/5i8uTx/PnncbJlc6Bu3VeoU6deil73o0eP2LBhLa1bt0uw/ebNG7Rr9wY9e/YhMvI+Gzas5fbtf1m+fA158+bj1KkTzJ07i8DAE0RHP6JYseJ88EF3qlWrkaCcPXt2MmvWDK5du0quXJ60atWOBw8imTv3J37//f+HWevUqUK7dm+SN28+fvllGUFBN5k4cSqVK1fhypW/mDVrBseO/UFkZCQFCxbi7be78NprjY3nP3z4kJ9+ms7u3TsICQkmW7bs5M9fgM6du1K7dl0Azp07y6xZ0zlz5jT379/DzS0nJUuW4osvhuDi4mJ8zV9+OYSmTZsby96xYxuLFs3nr78uY2dnS4UKlejWrRfFihU3HjNy5Lfs2bOTmTPn8cMP4zl58jjOzi7Ur/8qH33UC3t7e+OxOXO6U7VqddasWcWrrzZK0fskIpbh/PlzHD36Bx07vk22bNlo1aotlSpVNu7X45IsT5bvMWvZsik//7wYePxHv2XLpqxY8TMAkZGRtGzZlICAXwCIiAinZcumrFv3KwAhISG0bNmUzZs3AnDr1i1atmzK9u1bAbh+/R9atmzKrl07gMcJScuWTdm373cALl68QMuWTdMUt5/fq3h45GL16hUJtkdFPWTDhnU0atQkRUnZk0aPHoaTkzPDho2hW7ce7N+/l08//ThRT9Dp04HMmTOTd97pwvffT6Z06bIEB9/mww87c+LEn3Tr1ovvvptEvXqvMHXqJH76abrx3JCQYD7+uBtXrvzFZ599zuDBw3j48CETJoxLUYynT58iIiKcihUrJ7l/+fIlnDlzmn79BjJ69Pc4O7tw6NABPv64G3FxsXzxxTeMHDkWD49cfPZZHw4dOmA898CBfXz11UDc3HIydOhoevb8hJ07f2PjxnVJXmvHjm1s3bqR7t0/ZuzYiXh75+fixQt8+GFngoJu0rfvZ4wdO5HSpcsybNhg1q0LMJ47efJ4Nm/ewNtvd2b8eH++/PIbatWqQ0REOPC47X36aS8ePXrEwIFfMWHCFHr2/ARnZ5dkeyjXrfuVr7/+HE9PT4YNG03//l/wzz9/06NHV65c+SvBsdHRj/j88/5Uq1ad0aPH07Rpc5YvX8LixfMTlVup0sucOHGcyMj7T722iFiGJ5+0OHfuT3z11SDj8OWgQV/x2mtNzBWapIB6zDIoW1tbWrZsw8KFc+ndux9ubm4AbN26ibt3IxL1KKVEuXIVGDDgcwCqV69JzpzuDBnyJTt2bKNhw//v7QkPD2PGjDnkzZvPuG3s2JFERT1k9uxF5MqVC4CqVasTE/OIpUsX0qHDW7i4uLJs2RLCw8OYP38pPj4+xMTEUbNmbfr06cm//956ZoynTp0AwMenRJL7HR0dGTduYoI5EhMmjMPHpyTjx/sbJ7PWqFGbrl07MXPmNGOv2axZM8iTx4vx4/2xtbX9Xz3Uol275okvxOMh3B9+mJYgAR4zZjhubm74+/9I9uzZAahWrQZhYWHMnDmdpk3fwNrampMn/+S11xrTsmUb47l16vgav7527QoREeH06tWX4sV9jNuffB/+Ky4ujunTp1CyZGlGjx5vnMBbuXIVOnRowdy5PzF06Kgn4o/io48+xte3PgBVqlTj3LkzbNmykffe+zBB2T4+JYmNjSUw8BRVq1Z/agwiYl7Hjh2he/euzJ+/lJIlS9G372f07/85OXLkMHdokkJZvscsIGADHTu+DYCdnR0BARto164j8PiPfEDABuMfTxcXVwICNtCs2RsAeHh4EBCwgUaNHn/6yJMnDwEBG/DzawiAt3d+AgI2GP/wvfRSYeOqyQDFihUnIGBDmmNv0aI1BoOB9evXGLetXv0LFStWpkiRYqku79VXX0vwva+vHzY2Nhw/fjTB9uLFfRIkZQAHDuzl5Zer4ubmRkxMjPFfzZq1iY6OJjDwJPD4l0axYsUTxffkMF9ygoODsbGxwdnZJcn9derUS5CU/fPP3/zzzzUaNmxsnAcWP/esRo1anDt3hsjISB48eMC5c2eoV+8VY1IGj9tA7dpJD7O+/HLVBElZVFQUR4/+Qb169bGzs0tUD6GhIVy9egWA0qXLsmHDWubO/YnAwFM8evQoQdn58xfE2dmFsWNHsHHjOm7cuP7Murl69QohIcG89lpjY1IGkCtXLqpWrc6xY0cSHG9jY2Nsi/GKFi3OrVtBicqOH84ODr79zDhE5MW6ePECZ8+eAaBgwZfw9s7PgweRwOO/S/EfliVjUI9ZBubu7oGf36sEBKzizTc7cfp0IOfOnWHo0NFpLC/hD6+trS2urm6Eh4cn2O7hkfiHPDQ0hF27dvDKKzUS7QMICwsDHg8H589fMNH+pMpMSlTUQ+zs7BIkHsmVExoaAsCkSd8zadL3SZ4TERGBtbUVBoMhwXy6eEltS+paERHhxMbGsmzZYpYtW5zkOeHhYQD07fsZuXJ5smXLRmbP/pHs2R2pW9eXHj164+mZGycnJ6ZMmcm8ebOYNGk89+7dJW9eb1q3bkfHjm8n+fojIiKAx+0iqVjjrx0ve/bs2NnZJdhmZ2eX5FBp/JyzqKiHSb4uETGPmJgYWrRoQpUq1Zg/fwkeHh6sWpX09AvJGJSYZXBt2nRg8+aNHDy4j23btuDhkcvYQ5daoaHBCb6PiYkhPDwMV1fXBNuTSgrc3Nzw8SlJ164fJVl2fA+bi4trouvA47lnKeHq6sbDhw+Jjo5OMEH9abHFD/F26fLBU28w8PDwICYmBisrK+7cCU20P6ltSV3L2dkFa2trmjZtnmCI8kkFCxYCHidFH37Ygw8/7MGdO6Hs3bubadP8uXUriKlTfwKgaNFiDB8+BoPBwMWLF1iz5hemTv0BZ2dnmjVrkajs+PcpPhl9UkhIMK6ubknGlBLxSd/zlCEiprF69UrWr1/LTz/Nw9bWlpkz5+LjU9LcYYmJKDHL4EqXLkvp0mVZsGAu586d4e23OycYikuNbdu2ULfuK8bvd+3aTmxs7FMn2j+pevVa/PHHIQoUKJjsTQeVK1dhyZIFXL58CR+f/79LcMuWTSmK8aWXCgOPb6woXLjIM48vUKAQ+fJ5c+nShWTXPbOzs6NkyVLs3r2THj0+MdZhZGQke/fuTlFs2bJlo2LFyly4cJ5ixXxS/D7kzOlOs2YtOXHiT3bt2p5ov5WVFcWL+/DppwNZuzaAixcvJFlOwYKF8PT0ZMuWTbRr96YxcQwNDeGPPw4lmMOWWvFDqYULF01zGSKSdpcvX6RAgULY2dkRHh7O9ev/EB4eRu7cLsY7uSVzUGKWCbRt24Fhw77GxsaGFi1ap7mckyf/ZPz4sdSt68u1a1eYOXM6xYr5UL/+q88898MPe3D48EF69OhK27YdyZ+/AA8ePOD69b/Zu3cPEyZMwcbGhvbt32T9+l8ZMOATPvqoJy4ubmzevIG//76aohgrVXoZgMDAkylKzKysrBgw4AsGDuzLwIF9adSoqXFY7+LFC4SEBDNw4FcAdO3anYED+9K/f2/atu1AbGwsS5YsJHt2R2OP0bN88kl/evX6gN69P6JFi9bkyePFvXt3uXr1CmfOBDJy5HcAdOvWhVq16lC0aDGcnJy5ePECO3dup2bNWgDs3buHgICV1K37Cnnz5iMuLo4tWzYSFxf31IcIW1tb07Nnb4YO/YYvvuhP8+atePAgknnzZmFtbcP773+Y5Hkpcfr0SdzdPYyJsYi8OIcPH+T11xsya9Z83nijFe+++x5dunQ1d1iSTpSYZQK+vn7Y2g6lbt1XyJXLM83lfPnlENatW8PXXw8iLs5ArVq16dNnQIp6fjw9czNr1gLmzp3F/PmzCQkJxsnJifz5C1KjRi3j3ZAeHrmYMmUmkyZ9z7hxo3BwyEa9eq/Qr99APv+8/zOvkzt3HipWrMzvv+9KcjgvKdWq1WDGjLksWDCHiRPHce/e4zXBihUrTpMmzYzH1ahRixEjxjF79gy++eYL3N09aNWqLcHBwWzatD5F1ypWrDizZy9i7tyfmD7dn/DwMFxcXClU6CXjTSHwOMHcs2cXP/+8mOjoaHLnzk2rVm3p0uUDAAoUKICjYw4WLZpHcHAw9vb2FC5cmOHDxyS7sG6TJs2wt8/GwoXz+PrrQdja2lGxYiWGDh1NwYIvpeg1/JfBYOD333cne0eoiJhOXFwcc+fOws3NjTZt2lO5chW+/XYkNWo8/tnXo5IyNyvDkwueZGAhIfeIi0v6pQQFXcXLq9BzX8PW1pqYmLjnLsfUdu3azldfDcTf/0djj1JqxC8wO3fuYooXT3oZivSQ1vrcsWMbQ4cOZvXqDU+dmG8qMTExdOnyFrly5eKHH6al67VMIT3a6NGjf/Dpp71YtGgFBQokvnHjv0z182YJPD2duX37rrnDyFRUp093926E8Y7z119viLe3NzNnzkv2HNWn6aV3nVpbW+Hh8fQpP0q7M7Br165w6NABpk6dRJky5dKUlGVEr7zSgOLFS7B48QKTlhsbG8vYsSPYsWMbx44d4bfftvDpp724evUv3n77XZNeKyOZP382r7/+RoqSMhFJm8mTJ1K1annjQrBLl658ZlImmZOGMjOwceNGcerUCUqUKMXgwUMT7TcYDM98VmRGfFitlZUVgwYN5uDBfSYv9+7dCCZPnkBY2B1sbW3x8SnJd99NomrVpJcByezu3btHhQqVaNWqrblDEclU7t+/z/LlS2natBl58nhRq1ZtHjyIJC7u8e9sFxfXZ5QgmZWGMlPBUocynyZ+iDI5kyfPoHLlKi8oooQyWn1mBJZQpxrKlORk9TqNi4vD2tqay5cvUbNmZUaP/v65bszJ6vWZHsw9lKkes0ysdu26zJqV/HBf/LpaIiKSfgwGA927v4+zsyvff/8DRYoUZc+eQwkeuSYCSswyNVdXNy0IKiJiJvfv32fv3t289loTrKysKFCgUIJnVj7tmb+StSkxExERSQczZ05j9OjhHD58gkKFXmLw4G/NHZJkALorU0RExARu3rxB585vceDA4xuT3nmnC2vXbtGUEUkV9ZiJiIikUWRkJLduBVG4cBFcXd04f/4sN2/eAMDT0xNPz7Qv+i1ZkxIzERGRNGrTphnW1jasX78VR0dH9u07YnxOrUhaKDETERFJoRMnjrNgwTzGjh2PjY0NAwZ8jqPj/0/oV1Imz0tzzERERJLx4MEDHj58CMDVq1dYu3Y1ly5dBKBBg9eSfX6tSGopMRMREXmKmzdvUKlSKZYuXQRAkybNOH78rJa6kHSjxExEROQJBw7sJyDgFwC8vPLy5pudKF++AgC2trZkz57dnOFJJqc5ZllUdHQ09vb2qd73vGWLiFii+EclAUybNomLFy/QokVrrKysGDJkuJmjk6xEPWaZwJUrfzF48CBef70B9evXpHPnjmzZssm4f8OGtdSpU4XDhw8wbNjXNGnix9tvP34o9ccfd6NLl7c4fPggH3zwLn5+tVi4cC4A16//wzfffEHTpo/L7dSpPWvWrEpw7aNH/6BOnSps2bKRCRPG0rz5a/j51XpxL15E5Dlt2rSBypXLEBwcDMCYMePZunW3JvKLWWT5HrP7c2byYO6sFB2bvUUrcgz4IsG2u+NGEbU2IGXnv/cBOd7vlmBb+KB+2JYomWh7Sl28eIEePbpSqNBL9O37Ga6ubuzYsY1hwwYTHf2QZs1aGo8dNWoYvr5+DBs2iqioKOP227dvMWbMcN59930KFCiIo6MjISHB9OzZFSsra3r2/AQPj1xs376V774bxZ07oXTp8kGCOKZNm8zLL1fhyy+HEBkZmabXIiLyIhgMBg4fPoSXlxcFCxaicOEilC9fgXv37pIrVy7y5fM2d4iShWX5xCyjmzr1B9zc3PD3/9E476FatRqEhYUxc+Z0mjZ9w3hsjRq16Nt3QKIywsPDGT16POXLVzRumzZtMqGhocydu4RixYoDULNmbe7du8fChXNp06YDzs7OxuNfeqkwX3+t7n4RsXx37oTSuvXrvPfeBwwfPoYSJUqyYMHP5g5LBNBQZoYWFRXF0aN/UK9efezs7IiJiTH+q1mzNqGhIVy9esV4fL16ryRZjptbzgRJGcCxY39QtGhxY1IWr3Hj14mKiiIw8GSC7fXq1TfFSxIRSRfTpvnTv38fANzdPVi69BcGDRps5qhEEsvyPWY53u+W4mFEW1trYmLiEmxzHvglzgO/TPP1XcdOSPO5ERHhxMbGsmzZYpYtW5zkMeHhYcavPTxyJXlMUtsjIiLw9i7w1GMjIsKfWYaIiLkYDAYCA09Rtmw5AMLD7xAcfJvY2FhsbGyoW9fXzBGKJC3LJ2YZmbOzC9bW1jRt2pyWLdskeUzBgoW4ceM68PQVqZPa7uLiSmhoSKLtISHBxv3PKkNExFxWr15J9+5d2bjxN15+uSqff/61fk9JhqDELAPLli0bFStW5sKF8xQr5oOtrenezpdfrsrixfO5ePFCguHMLVs24ODgQJky5Ux2LRGR5xUZGcmUKT9QpUpV/Pwa8tprjRkzZjwlSpQC9OFRMg7NMcvgPvmkP//8c43evT9i06b1HDt2hD17drJo0Ty++uqzNJfbocNbuLt78NlnfVi3bg0HDuxj1Kih7Nq1gy5dPkgw8V9ExFzie/bt7e1ZvvxnDh7cD4CTkzPvv/8hTk5O5gxPJNXUY5bBFStWnNmzFzF37k9Mn+5PeHgYLi6uFCr0En5+DdNcbs6c7syYMYcZM/yZNm0yDx5EUqBAQQYNGkzz5i1N9wJERNKof/8+7Nu3h717/8DW1pZdu/aTI0eOZ58oYsGsDAaDwdxBmEJIyD3i4pJ+KUFBV/HyKvTc10hq8r+knerT9CyhTk3182YJPD2duX37rrnDyFSep06Dg4NZvHg+3br1JHv27Gzduolr167y7rvvY2dnZ+JIMwa1UdNL7zq1trbCw+PpPbnqMRMREYsWfyfluXNnGDlyKGXLlqNBg9do2LCxuUMTMTnNMRMREYv08OFDXn+9IZMmjQegVq06HDx4nAYNXjNzZCLpx6ISM39/f0qUKEGLFi3MHYqIiJjB7du32bZtM/D4zvPSpcsaH5FkZWVF4cJFzBmeSLqzmKHMCxcu8NNPP5ErlxYqFRHJqkaPHsaqVSsJDLxIjhw5+O67ieYOSeSFsoges7i4OL766ivatWtHkSL6NCQiklWcPh3IG2805q+/LgPQp09/tm7dpbsrJcuyiB6zefPmERQUxJw5c+jRo0e6XMNgMGiBQZF0lklu8pZ0sD8wiFW7LhEaEYWjzQNerexFiwYv4+7uTkhIMDdv3qBw4SIUKvSSuUMVMSuzJ2Z///03kydP5vvvv0+3hQBtbOx49CgKe/ts6VK+iDz26FEUtrZZc9kCebr9gUHM33iW6Jg44uJiCfixJ3sLlCW312xqlsnL778f1gdnkf8x61CmwWBg8ODB1KlTh1dffTXdruPk5EpYWDD3798lNjZGn+pFTMhgMBAbG8P9+3cJCwsmRw7XZ58kWYr/7OUc3ToTAGtrG8rW/5Ci1duzatclQI9LEnmSWXvMli9fzqlTp9iwYcNzl5XcYm3gzMOHbty69S/h4beJiYl57uuJyP+ztbUlW7ZsFC1amGzZMlfPtKenHj+WFiEhIeTMmRNra2tu/H2JW5cO4VOzI/bZnMjrUwuA0Igo1a8JqA5Nz5x1arbELDQ0lO+++46PPvqI7NmzExERAUBMTAxxcXFERETg4OCAg4NDispLbuX/eI6OOXF0THvMWmHZtFSfpmfuOr179xF37z4y2/VNzdz1mVEdO3aEFi2aMHv2Aho2bEzlui0pXKkZVtY2CY5zd3FQ/T4ntVHTM/fK/2Ybyrx16xZ3795l/PjxVK1a1fjv6NGjnD9/nqpVq+Lv72+u8EREJIUMBgPr169l69ZNAJQtW54uXT6gSJGiALRrUAoH+4RzD+1trWntW/SFxypi6czWY1awYEEWLFiQaPuoUaOIjIxkxIgR5MuXzwyRiYhISsTExGBr+/jPyPjxY8mTJw8NGzbGzs6OYcNGGY+rWcYLwHhXpruLA619ixq3i8j/M1tiliNHDqpXr55ou4uLC0CS+0RExDLMmfMT06f78/vvh3FwcGDhwp/Jk+fpiVbNMl7ULOOloTeRZ7CIBWZFRMSyxcbGsnHjekJDQwAoVqw4dev6cv/+PQC8vfMbe89EJO0s7qdo4cKF5g5BRET+4/z5c3Tu/CYjRoyhW7ee1Kv3CvXqvWLusEQyHYtLzERExPwMBgNff/052bM78tVXQyhVqjSrVq2jRo1a5g5NJFPTUKaIiACPhyuPHTsCPF70NTIykgcPIo3769Spp+FKkXSmnzAREQFg8uQJjBs3isOHT5A/fwHGj5+sVflFXjD1mImIZFHBwcF8/nl//vzzGADt27/JjBmzjXdXKikTefGUmImIZCFxcXEEBwcDYG9vx5o1qzh58gTw+M7KFi1aY2enB9GLmIuGMkVEspB27VoAVvzyy6+4uLhy7NiZTPd8U5GMTImZiEgm9tdfl/nll+X07z8IKysr3nqrEzY2NhgMBqysrJSUiVgYJWYiIplMXFwccXFx2NracujQAX744XuaNWtByZKlaNOmvbnDE5FkaI6ZiEgmEhR0k9q1q7By5TIAWrZsw9GjpylZspSZIxORlFBiJiKSwV2+fImdO7cDkCePFxUrViZ37jwAODg4kDt3bnOGJyKpoKFMEZEMbtCgfly58heHDv2JlZUV06fPMndIIpJG6jETEclgdu/eyWuv+RIREQ7AyJHjWLdui9YdE8kElJiJiGQAf/11mVu3bgHg6uqKlZUVQUFBAPj4lDAuCisiGZsSMxERCxcaGkKdOlWZPt0fgAoVKrF58058fEqYOTIRMTXNMRMRsUDLli3hr78u8fnnX+Pu7sGUKT9Ss2Ztc4clIulMPWYiIhbi1q0g49cnT/7Jrl07iYmJAaBVq7Z4eeU1V2gi8oIoMRMRsQBr166hQoWSBAaeAuDrr4exYcM2bG01sCGSlSgxExExg+joaBYsmMuBA/sBqFOnLn369MPT8/GaYw4ODrrLUiQLUmImIvICRUdHG78eN24Ua9b8AkDOnO588cU3WgxWJItTH7lIJrA/MIhVuy4RGhGFu4sDrX2LUrOMlk+wNMOGfcPu3TvZunUX9vb2bN26S/PGRCQB9ZiJZHD7A4OYv/EsIRFRGICQiCjmbzzL/sCgZ54r6SsyMpKff15s7CUrW7Yc9es3MH6fN28+DVeKSALqMRPJ4FbtukR0TFyCbdExcazadUm9Zma2f//vfPJJD9zcctK4cVNat25n7pBExMIpMRPJ4EIiogBoeH6rcdtWn4bG7fLiREVF0bPnh1SrVp2PPupF/fqvsnbtFqpVq27u0EQkg1BiJpLBebg4EBIRRcMLvxm3bfVpiIeLgxmjyjoePHjAmTOBVK5cBQcHB2JiYjAYDABYW1tTvXoNM0coIhmJEjORDK61b1HmbzybYJu9rTWtfYuaKaKs5csvP2Pt2jX8+edZcuTIwfz5S8wdkohkYJr8L5LB1SzjRecmJRNs69ykpOaXpZPLly/SrVsXbt68AcBHH/Vi3rzFODo6mjkyEckM1GMmkgnULONF8H++F9N5+PAh9+/fx8PDA2trG3bv3smZM4HkzZuPkiVLAaXMHaKIZBJKzEREkhETE0OdOtWoXbsOkyZN46WXCnPixHns7e3NHZqIZEIayhQR+Y/jx48yefIEAGxtbfnkk09p166jcb+SMhFJL0rMRER4vNRF/N2U27dvw9//B0JDQwF49933qFOnnjnDE5EsQomZiGR5J0/+SaVKpdm7dw8A3br14Nix07i7u5s5MhHJajTHTESypCNHDvPoUQw1atSkePES1Kvni7OzMwBOTs5mjk5EsiolZiKS5RgMBnr37k7evPn45Ze1ZMuWjRkz5pg7LBERJWYimYVD85Zkz2bHg4ePzB2KRVqx4mfmzJnJ2rVbsLW1ZdasBRQsWNDcYYmIJKDETCSTcB74JZ6ezty+fdfcoViMY8eOULy4D05OzuTI4UTOnO6EhoaSO3duSpcuY+7wREQS0eR/EcmUzpw5TaNG9Vm27PEjkpo2bcaSJSvJnTu3mSMTEXk69ZiJSKZgMBiYPHkCdnb29OzZm1KlSjN9+ixee62xuUMTEUkxJWYikqH988/f5M9fACsrK44fP0a2bNmM+9q0aW/GyEREUk+JmUgmcXfcKGL+N/nfeeCX5g7nhZg2zZ9Ro4Zy9OhpcufOzcyZc7GzszN3WCIiaabETCSTiFobQNT/vs6siVlERDhz5vxE06bN8fEpQePGTbCxscbRMTuAkjIRyfBSNfm/UaNGzJw5k9u3b6dXPCIiiTx48ACAR49imDjxO3bu/A2AIkWK8dFHvbQgrIhkGqnqMbO1tWXChAlMnjyZevXq0a5dO3x9fbG21s2dIpI+3n+/E48eRbNw4TI8PDz4449TeHp6mjssEZF0karEbP369Rw/fpyVK1eyceNGduzYQa5cuWjdujVt2rTRYo0i8txCQkLYsGEt77zTGSsrK2rXrktMzCMMBgNWVlZKykQkU7MyGAyGtJz44MEDNmzYwMqVKzl27BhWVlZUrVqVdu3a0ahRI+zt7U0da7JCQu4RF5eml5JiWrzTtFSfphVct5rx61x7DpkxkrSJT7zmzZvNwIGfsnPnfrMvAqs2anqqU9NSfZpeeteptbUVHh5OT9+f1oKzZ89OmzZtWLp0KRs3bqRp06YcOnSIgQMHUrduXUaNGsWNGzfSWryIZBH//vsvLVs2Ze3aAADatevI7t0HzZ6UiYiYw3NNDouNjWXr1q2MGTOGjRs3YmVlRfXq1alQoQKLFi2iadOmbNu2Lclzjx49SteuXalbty7lypWjRo0avPvuu+zatet5QhKRDODOnVCOHz8KgIeHBzY2NsTFxQGQI0cOSpYsZc7wRETMJk3LZVy6dImVK1fy66+/EhISgoeHB++//z7t27c3zjO7evUqffv25bvvvuPVV19NVEZERASFCxemdevW5MqVi4iICJYtW0a3bt2YMGECr7/++vO9MhGxWB980Jm//77GgQPHsLGx4Zdf1po7JBERi5CqxGzlypWsXLmSP//8E4BatWrRvn17GjRogK1twqIKFSpEp06dGDx4cJJlvfLKK7zyyisJttWvX58GDRqwbNkyJWYimciRI4eZNGk806fPJkeOHHz11RCyZcuuO7pFRP4jVYnZ4MGDyZUrF926daNdu3bkz58/2eOLFStGixYtUh6MrS3Ozs5aJFIkEwgLu4OVlRWurm48ehTDqVMn+euvy5QtW47KlauYOzwREYuUqsTM398fPz8/bGxsUnR8+fLlKV++fLLHxMXFERcXR0hICMuWLePKlSsMHDgwNWGJCJD9vQ/I4ejA/cioZx+czu7cCaVy5bL06PExAwd+SfXqNTh06M9EPesiIpJQqn5LNmzY0OQB9O3bl82bNwPg5OTEDz/8QL169Ux+HZHMLsf73fD0dAYz3Tr/229buHTpIt269SRnTne++GIwder4AmBlZaWkTEQkBdK8jpmp/P3339y5c4fg4GDWrVvHli1bGDNmDM2aNTNnWCKSApGRkTg6OgLQrVs3du3aRWBgoJIwEZE0Mnti9l/du3fn6NGjHDhwIFUTg7XAbMaj+jS9F1mnW7duolu39/ntt90UKVKM8PAwcuRwylRJmdqo6alOTUv1aXoZdoHZ9FKuXDnCw8MJDQ01dygi8oS4uDi2bt3EyZMnAChfvhJvvNESG5vHiZirq1umSspERMzBon6LGgwGDh06hIuLC25ubuYORyRDCR/Uj4f2tkRFx+A6doLJyo1/VNLDhw/p1asbzZq1YMIEf/LkycOkSdNMdh0RETFjYta/f3+8vb0pU6YMOXPm5Pbt26xevZoDBw7w9ddf65O3SCo92vc7j0xc5uTJE/j9990sXx6Ao6Mjq1dvwMenhImvIiIi8cyW/VSqVIm1a9eybNky7t69i7OzM2XLlmX69On4+fmZKyyRLC0uLo7du3dSt64vNjY2uLi4kjt3HqKionBwcKBMmbLmDlFEJFOzuMn/aaXJ/xmP6tO0gutWM36da8+hNJWxefNGOnXqwMKFy2jUqImpQsuw1EZNT3VqWqpP09PkfxExm6ioKL76aiA//7wYgAYNGjJr1nzq129g5shERLImJWYiWUxcXBx//XUZAHt7e44fP8aVK4+/t7W15Y03WmFvb2/OEEVEsizNsBfJYj7/vD/r1q3h6NHTZMuWjV9/3ZTix6yJiEj6Uo+ZSCZ38+YNvv76C4KDgwHo0OEthg0bbUzGlJSJiFgOJWYimZDBYOD+/fsAREREMGfOTA4e3A/Ayy9XpW3bDtjZ2ZkzRBERSYKGMkUyoVdfrUfVqtUYM2Y8JUqU5NSpC+TM6W7usERE5BmUmIlkAleu/MWTN183b96CwoWLGL9XUiYikjEoMRPJoOIflQSwePEC/g0OZty4sRgMtvR9o5WZoxMRkbTQHDORDOjs2TP4+tbgyJHDAHTv/jGfb/+d/O+/TzYlZSIiGZZ6zEQyiGvXrnL37l3KlClL/vz5cXf3ICoqCgAPDw8zRyciIqagxEwkAzAYDLRp05yCBQvxyy9rcXJyJiBgg7nDEhERE9NQpoiF2rJlI507v0VcXBxWVlZMnjwdf/8Z5g5LRETSkRIzEQvyzz9/8+DBA+Dx+mPXrl3l339vAVCzZm3y5fM2Z3giIpLOlJiJWIizZ89QpUo5Vq9eCUDr1u3Yvv13vLzymjkyERF5UTTHTMSMli5dBMCbb75DiRIl+frrYdSr9woA1tb63CQiktUoMRN5we7du4uTkzMAAQG/AI8TMysrK3r1+sScoYmIiJnpI7nICzRv3mwqVChFWNgdAGbOnMvPP68yc1QiImIplJiJpKOHDx/y88+LuXr1CgBVq1bn3XffIy4uDgBXVzfj6v0iIiJKzETSgcFgACAs7A79+vU2TugvU6YsQ4YMx91dC8KKiEhimmMmYmIDBvTl/v17TJ8+Cy+vvGzfvpcSJUqaOywREckA1GMm8pyioqLYunWT8XsvLy/y5fM29pqVLFlKw5UiIpIi6jETeU4LF87lyy8HsmPHPsqUKcuAAZ+bOyQREcmg1GMmkkohISF07/4+v/22BYB27TqyYsUaSpcuY+bIREQko1NiJpICUVFRXL58CQAXFxcCA09x48YN4PGdlb6+9TVcKSIiz01DmSIp0KlTB4KCbrJr1wHs7OzYteuAVuYXERGTU2ImkoSzZ88wa9aPjBw5FgcHB3r16mNcewz0uCQREUkf+usi8j/R0dFERkYCcOPGdVatWsGZM4EA+PrWp379BhquFBGRdKXETITHC8G+/HJZZs+eCUD9+g04ceIsFStWNnNkIiKSlSgxkyzrzz+P8csvywFwc8tJhw5vUbnyywBYWVkZHzQuIiLyomiOmWQpcXFxxvlhM2ZMZe/ePbRo0RpbW1sGD/7WvMGJiEiWpx4zyTL27NlFlSrluH79HwC++WYYv/9+CFtbfT4RERHLoL9IkqmdOHEcJycnihQpxksvFaZ4cR/u3bsHQN68+cwcnYiISELqMZNM6/79+7Ro0ZTJkycCUKBAQZYtW60HiouIiMVSj5lkKgsWzOXQoQNMmfIjOXLkYMGCpZQvX8HcYYmIiKSIeswkwztz5jQGgwF4vOzFrVtBPHz4EIC6dX1xdXUzY3QiIiIpp8RMMrRt2zbj61uD3bt3AtC796esWLGGbNmymTcwERGRNFBiJhlKdHQ0kydPZP36tQDUrfsKI0aMoUKFigBamV9ERDI0JWaSIYSF3QHAzs6OlSt/5vffdwHg4OBAt249cXPLac7wRERETEKT/8XiDR36NatXr+Tw4RPY2dmxYcM2rcovIiKZknrMxOKEhd1h6tTJRESEA+Dn9yoffNCdmJgYACVlIiKSaanHTCxG/OOSrl69wtChg8mXLx+tWrWlbl1f6tb1NXd4IiIi6U49ZmJ2sbGxtG/fkuHDhwBQoUIl9u8/QqtWbc0cmYiIyIulxEzMIizsDuvXrwfAxsYGH58S5M9fwLi/aNHi5gpNRETEbDSUKWYxfvw45syZyYkT5/Hw8GDEiLHmDklERMTs1GMmL8Tlyxdp27YFgYGnAOjevRcHDx7Ew8PDzJGJiIhYDiVmkm4iIsK5evUKADlzunP9+t/cvHkdAG/v/FSqVMmM0YmIiFgesw1l7t+/nzVr1nDs2DGCgoJwdXWlfPny9O7dmxIlSpgrLDERg8HAa6+9QpEiRVmyZCU5c7qzb98RrcwvIiKSDLMlZkuXLiUsLIwuXbpQtGhRgoODmTVrFm3btmXhwoVUrFjRXKFJGh04sI/Vq1cyZsx4rKysGDJkBPny5TPuV1ImIiKSPLMlZkOGDEk0v6hOnTo0aNCA2bNn4+/vb6bIJDXu3o0gW7bs2NnZcfHiBTZuXE/fvgPImzcfTZq8bu7wREREMhSzzTFLatK3i4sLhQoVIigoyAwRSWqdP3+O8uVLsm7dGgDat3+TI0dOkTdvvmecKSIiIkmxqMn/oaGhXLhwgeLFtYaVpdq+fSvr168FoFix4nTq1IUSJUoBYG9vj52dnTnDExERydCsDAaDwdxBwOPJ4h9//DG7d+8mICCAokWLmjsk+Z/Y2FhsbGwAqFevHrGxsezdu9fMUYmIiGQ+FpOYjR07ljlz5jB69Ghat26d6vNDQu4RF5e+L8XT05nbt++m6zUszfLlSxkzZgS7dx/EycmJ69f/wdMzN/b29s9ddlasz/SmOjUt1afpqU5NS/Vpeuldp9bWVnh4OD19f7pdORUmTpzInDlz+Oqrr9KUlInpGAwGduz4jVu3Hs/zK1KkKNWr1+T+/XvA4/XHTJGUiYiISGJmT8wmTZrEjBkz+Oyzz3j33XfNHU6W988/f9OxY2sWLZoPQJUq1Zg+fRZ58niZOTIREZHMz6zPypwyZQrTpk2jT58+fPDBB+YMJUsbM2Y49+7dY8SIsRQoUJCVK3+lWrUa5g5LREQkyzFbYjZnzhz8/f2pX78+tWrV4vjx48Z99vb2lC5d2lyhZXoGg4ETJ45TocLjRyLdvXuXu3fvYjAYsLKyom5dXzNHKCIikjWZLTHbsWOH8f/4r+N5e3uzfft2c4SVJcyZM5MvvviMvXv/oHhxH0aMGKtV+UVERCyA2RKzhQsXmuvSWU54eBgTJnxHkyavU6NGLd54ozU5cjhRoEBBQI9KEhERsRRmn/wv6cNgMBAcHAyAg0M2fvllOceOHQXA09OTjh3fJlu2bOYMUURERP7DrJP/Jf289947BAXdYNOmHWTLlo1Dh/7E0dHR3GGJiIhIMtRjlklcv/4P338/hpiYGADatGlH585diYuLA1BSJiIikgGoxywDMxgMxMbGYmtry/Hjxxg/fiyvvOJHlSrVaN68pbnDExERkVRSj1kGFR4eRv36tZk/fzYAjRs35Y8/TlKlSjUzRyYiIiJppcQsA7l+/R+2b98GgKurG+XLV8DLKx8ANjY2eHvnN2d4IiIi8pw0lJmBDB78OQcP7ufEiXPY2toyefJ0c4ckIiIiJqQeMwt2+PBBmjTx499//wVg8OAhbN68A1tb5dMiIiKZkf7CW5gbN65jZWVF3rz5yJnTnQcPHhIUdIPcuXNTtGhxc4cnIiIi6Ug9Zhbk/v371K5dlfHjxwFQrFhxduzYS/nyFc0bmIiIiLwQ6jEzs7Vr13D06B8MGTKcHDly8MMPU6hU6WXjfj0uSUREJOtQj5kZ/PvvvxgMBgACA0+yfftWHj58CECLFq0pWLCQOcMTERERM1Fi9oLt3LmdihVLcvjwIQA+/fQzdu7cr+dWioiIiBKz9BYTE8Py5UvZvXsnAFWrVqd794/x9vYGwMHBQcOVIiIiAigxSzePHj0CHs8RGzduND//vBiAHDly8M03w7QYrIiIiCSiyf/pYOLE7/jll+Xs3n0QGxsbfv11I3nz5jN3WCIiImLh1GNmAtHR0fzyy3Lu378PQMmSpXnlFT8iIyMByJfPW8OVIiIi8kxKzEzg6NEj9OjxAevX/wpAkyavM2LEWJycnMwcmYiIiGQkSszSIDY2lo8//ogffvgegOrVaxAQsIG2bTuYOTIRERHJyJSYpVB0dDSHDj1e4sLGxoZHj6ITTPCvVasO1taqThEREUk7Tf5PoeHDhzB//myOHz+Du7sHP/4419whiYiISCajxCyFunR5nzfeaIqbW05zhyIiIiKZlBKzFCpatDg1alTm9u275g5FREREMiklZil0f85McHTgfmQUOd7vZu5wREREJBNSYpZCD+bO4sH/vlZiJiIiIulBtxGKiIiIWAglZiIiIiIWQomZiIiIiIVQYiYiIiJiIZSYiYiIiFgIJWYiIiIiFkKJmYiIiIiFUGImIiIiYiGUmImIiIhYCK38n0IOzVuSPZsdDx4+MncoIiIikkkpMUsh54Ff4unprIeYi4iISLrRUKaIiIiIhVBiJiIiImIhlJiJiIiIWAjNMUuhu+NGEfO/yf/OA780dzgiIiKSCSkxS6GotQFE/e9rJWYiIiKSHjSUKSIiImIhlJiJiIiIWAglZiIiIiIWQomZiIiIiIUw6+T/oKAgZs2aRWBgIGfPniUyMpIFCxZQvXp1c4YlIiIiYhZm7TG7evUq69evx9HRkRo1apgzFBERERGzM2tiVrVqVfbv38/s2bNp06aNOUNJ1v7AoGS/FxERETEFsyZm1taWP8Vtf2AQ8zeeTbBt/sazSs5ERETE5Cw/MzKzVbsuER0Tl2BbdEwcq3ZdMlNEIiIiklllmpX/PTyc0qXc0IjH6/1vLd4g0XZPT+d0uWZWojo0PdWpaak+TU91alqqT9MzZ51mmsQsJOQecXEGk5fr7uJASEQUW30aJtp++/Zdk18vK/H0dFYdmpjq1LRUn6anOjUt1afppXedWltbJduZpKHMZ2jtWxR724TVZG9rTWvfomaKSERERDKrTNNjll5qlvECHs81C42Iwt3Fgda+RY3bRURERExFiVkK1CzjRc0yXuoyFhERkXRl9sRs06ZNAJw8eRKAw4cPc+fOHbJnz46vr685QxMRERF5ocyemPXp0yfB9/7+/gB4e3uzfft2c4QkIiIiYhZmT8zOnTtn7hBERERELILuyhQRERGxEErMRERERCyEEjMRERERC2H2OWamYm1tlamuk1WoPk1PdWpaqk/TU52alurT9NKzTp9VtpXBYDD9c4xEREREJNU0lCkiIiJiIZSYiYiIiFgIJWYiIiIiFkKJmYiIiIiFUGImIiIiYiGUmImIiIhYCCVmIiIiIhZCiZmIiIiIhVBiJiIiImIhMs0jmdLq/v37TJw4kU2bNhEREUGxYsXo1asXDRo0eOa5165dY8yYMRw8eJC4uDiqVKnCoEGDKFas2AuI3DKltT79/f2ZMmVKou25cuVi79696RWuxQsKCmLWrFkEBgZy9uxZIiMjWbBgAdWrV0/R+WqjiT1PnaqdJrZ//37WrFnDsWPHCAoKwtXVlfLly9O7d29KlCjxzPPVRhN6nvpU+0za0aNHmTp1KufPnycsLIwcOXLg4+ND165d8fX1feb5L7qNZvnE7OOPP+b06dMMGDCA/Pnzs3r1aj7++GNmzJiR7BsWEhLCW2+9hYeHB2PHjsXGxobp06fzzjvvEBAQgJeX1wt8FZYjrfUZb+7cuTg6Ohq/t7OzS89wLd7Vq1dZv349pUuXpkaNGmzfvj3F56qNJu156jSe2un/W7p0KWFhYXTp0oWiRYsSHBzMrFmzaNu2LQsXLqRixYpPPVdtNLHnqc94ap8JRUREULhwYVq3bk2uXLmIiIhg2bJldOvWjQkTJvD6668/9VyztFFDFrZz506Dj4+PYcuWLcZtcXFxho4dOxoaN26c7Lljx441lCtXzhAUFGTcFhoaaqhUqZLhm2++SbeYLdnz1OfkyZMNPj4+hvDw8PQOM0OJjY01fr1161aDj4+P4cCBAyk6V200ac9Tp2qniQUHByfaFh4ebqhSpYrh448/TvZctdHEnqc+1T5T7tGjR4Z69eoZOnXqlOxx5mijWXqO2datW3F2dk4wzGZlZUWrVq24fPkyFy9efOq527Zto1atWuTJk8e4LWfOnNSvX5+tW7ema9yW6nnqU5JmbZ32H1G10aQ9T51KYh4eHom2ubi4UKhQIYKCgpI9V200seepT0k5W1tbnJ2dn9mbaI42mqV/Q124cIFixYol+kUdP45//vz5JM97+PAh165dw8fHJ9G+EiVKEBISQkhIiOkDtnBprc8nNW3alFKlSlGnTh0GDx6cJevRFNRG05faafJCQ0O5cOECxYsXf+oxaqMpl5L6fJLaZ9Li4uKIiYnh1q1bTJ48mStXrtC5c+enHm+uNpql55iFhYXx0ksvJdru6upq3J+U8PBwDAaD8bgnubm5Gc9N6pNPZpbW+gQoUKAA/fr1o1SpUtjZ2XH06FFmzZrF/v37WbVqVZJ1LU+nNpo+1E6fzWAw8PXXXxMXF0fXrl2fepzaaMqktD5B7fNZ+vbty+bNmwFwcnLihx9+oF69ek893lxtNEsnZvB4qC0t+1KyPytKa322bNkywfc1a9akYsWKvP/++yxevJiePXuaKsQsRW3UtNROn23cuHFs27aN0aNHU7Ro0WcerzaavNTUp9pn8j777DM++OADgoODWbduHX379mXMmDE0a9Ys2fNedBvN0omZm5tbkr044eHhAE/9dOHq6oqVlVWS58Zvi8+ms5K01ufT1K5dG09PT44fP26C6LIWtdEXR+30/02cOJE5c+bw1Vdf0bp162SPVRt9ttTU59Ooff6/AgUKUKBAAQD8/Pzo3r07w4YNo2nTpknOPTVXG83Sc8yKFSvGpUuXiIuLS7A9fi5UUuPKANmyZaNAgQJJzpk6f/487u7uWbL7Pa31mRyDwaDJ2mmgNvpiqZ3CpEmTmDFjBp999hnvvvvuM49XG01eauszOWqfSStXrhzh4eGEhoYmud9cbTRLv1MNGzYkIiIi0TpGAQEBFC5cONnF41599VX27dvH7du3jdvCwsLYsWMHDRs2TLeYLdnz1GdSfv/9d4KDg6lQoYIpw8wy1EZfDLVTmDJlCtOmTaNPnz588MEHKT5PbTRpaa3PpKh9Js1gMHDo0CFcXFyS7fUyRxvN0kOZvr6+VK9ena+++oqwsDDy589PQEAAR44cYdq0acbjOnXqxKFDhzh37pxxW9euXfn111/p1q0bvXr1wtbWlunTp2Nra0v37t3N8XLM7nnqs2XLlrRs2ZLChQtja2vLsWPHmD17NoUKFeLtt982x8uxGJs2bQLg5MmTABw+fJg7d+6QPXt246K9aqOpk9Y6VTtNbM6cOfj7+1O/fn1q1aqVYMjM3t6e0qVLA2qjKfU89an2mbT+/fvj7e1NmTJlyJkzJ7dv32b16tUcOHCAr7/+Glvbx6mQpbTRLJ2YWVlZMW3aNCZMmMDEiRONjxCaMmUKfn5+yZ6bK1cuFi9ezNixYxk4cCAGg4GXX36ZRYsWkS9fvhf0CizL89RnkSJFWLJkCf/++y8xMTF4eXnRrl07evbsiYuLywt6BZapT58+Cb739/cHwNvbO9lV69VGny6tdap2mtiOHTuM/8d/HU9tNPWepz7VPpNWqVIl1q5dy7Jly7h79y7Ozs6ULVuW6dOnW+TfeiuDwWBIl5JFREREJFWy9BwzEREREUuixExERETEQigxExEREbEQSsxERERELIQSMxERERELocRMRERExEIoMRMRERGxEErMRERERCyEEjMRERERC6HETERERMRCKDETEQFiYmLo2LEjlSpV4tKlSwn2LVu2jBIlSjBp0iQzRSciWYWelSki8j/Xr1+nZcuW5MuXj+XLl+Pg4MCFCxdo27YtZcqUYeHChdjY2Jg7TBHJxNRjJiLyP97e3owcOZKzZ88yduxYHj58SL9+/XBwcOD7779XUiYi6c7W3AGIiFiS1157jTfffJPFixdz+vRpzp8/j7+/P/ny5TN3aCKSBWgoU0TkP6KiomjWrBnXrl2jffv2DB8+3NwhiUgWoaFMEZH/OHfuHDdv3gTgwoULxMTEmDkiEckqlJiJiDzh3r17fPrpp7i5ufHpp59y7Ngx/P39zR2WiGQRmmMmIvKEb775hhs3bjBnzhxq1qzJmTNnmDlzJjVr1qRGjRrmDk9EMjn1mImI/M+KFStYv3493bp1o2bNmgAMHz6cvHnz8tlnn3Hnzh0zRygimZ0m/4uIAJcuXaJNmzaULFmSRYsWYWv7/wMKx44d45133qFu3brMmDHDjFGKSGanxExERETEQmgoU0RERMRCKDETERERsRBKzEREREQshBIzEREREQuhxExERETEQigxExEREbEQSsxERERELIQSMxERERELocRMRERExEIoMRMRERGxEP8Hkbazcy5MSXgAAAAASUVORK5CYII=\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from sklearn.metrics import r2_score\n", "\n", "x = np.array([0, 1, 2, 3]).reshape(-1, 1)\n", "y = np.array([1, 3.5, 4, 5])\n", "\n", "reg = LinearRegression()\n", "reg.fit(x, y) \n", "\n", "# get the slope\n", "slope = reg.coef_[0]\n", "\n", "# get the intercept\n", "intercept = reg.intercept_\n", "\n", "# same as y_pred = slope * x + intercept\n", "y_pred = reg.predict(x)\n", "\n", "show_fit(x, y, slope, intercept)" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "0.8992805755395683\n" ] } ], "source": [ "# computing R2 from our formula (just to check that Prof Higger isnt pulling our leg)\n", "R2 = 1 - (get_mse(y_pred, y) / np.var(y))\n", "\n", "# computing R2 from sklearn (easy to work with, doesn't inspire our intuition with its use)\n", "R2_easy = r2_score(y_true=y, y_pred=y_pred)\n", "\n", "assert R2 == R2_easy, 'r2_score() doesnt agree with our formula'\n", "\n", "print(R2)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Our linear fit explains 89% of variance." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Guess that $R^2$: part 0" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Let's try with data than can be fit perfectly.\n", "x = np.array([0, 1, 2]).reshape(-1, 1)\n", "y = np.array([1, 3, 5])\n", "\n", "reg = LinearRegression()\n", "reg.fit(x, y) \n", "slope = reg.coef_[0]\n", "intercept = reg.intercept_\n", "\n", "show_fit(x, y, slope, intercept)" ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "1.0" ] }, "execution_count": 26, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# two lines below compute the same thing:\n", "y_pred = slope * x + intercept\n", "y_pred = reg.predict(x) \n", "\n", "# computing R2 from sklearn\n", "r2 = r2_score(y_true=y, y_pred=y_pred)\n", "r2" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Guess that $R^2$: part 1" ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Let's try with data that is not correlated\n", "x = np.array([0, 1, 2]).reshape(-1, 1)\n", "y = np.array([1, 3, 1])\n", "\n", "reg = LinearRegression()\n", "reg.fit(x, y) \n", "slope = reg.coef_[0]\n", "intercept = reg.intercept_\n", "\n", "show_fit(x, y, slope, intercept)" ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.0" ] }, "execution_count": 28, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# computing R2 from sklearn\n", "y_pred = reg.predict(x)\n", "r2 = r2_score(y_true=y, y_pred=y_pred)\n", "r2" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Guess that $R^2$: part 2" ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Let's try with data that is a little bit correlated\n", "x = np.array([0, 1, 1.5, 2, 2.1]).reshape(-1, 1)\n", "y = np.array([1, 1, 2, 1, 3])\n", "\n", "reg = LinearRegression()\n", "reg.fit(x, y) \n", "slope = reg.coef_[0]\n", "intercept = reg.intercept_\n", "\n", "show_fit(x, y, slope, intercept)" ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.3209379240162824" ] }, "execution_count": 30, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from sklearn.metrics import r2_score\n", "\n", "# computing R2 from sklearn\n", "y_pred = reg.predict(x)\n", "r2 = r2_score(y_true=y, y_pred=y_pred)\n", "r2" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Whats a 'good' $R^2$ value?\n", "\n", "... it depends:\n", "\n", "- if you're predicinting price changes in stock market: cross validated $R^2 = .01$ is fantastic!\n", " - if you keep using your model to make bets, you'll come out ahead\n", " - if this is the case, give me a call: I'd like to invest in your startup :)\n", "- if you're predicting how many people will rent a blue bike (y) given weather (x): cross validated $R^2 = .01$ is not so great\n", " - adding weather information into your model barely changes predictions\n", " \n", " \n", "More generally, $R^2$ should be interpretted in the context of the application. Like Accuracy, its context dependent:\n", "\n", "- baseball player who \"accurately\" gets base hit 50% of at-bats is better than any hitter to every play the game\n", "- pilot who \"accurately\" lands the plan without crashing 50% of the time might not be as celebrated ..." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# Shouldn't you be cross-validating $R^2$?\n", "\n", "... we're `.fit()` ing and `.predict()`ing on the same samples!\n", "\n", "- one cross-validates $R^2$ values to \n", " - estimate performance in predicting new samples\n", "- it is also common to **not** cross-validate an $R^2$ when we want to examine a model's parameters\n", " - how many more riders get on a blue bike when the temperature goes up 1 degree fahrenheit?\n", " - `y_pred = a_1 * temp + a_0`" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# In Class Assignment 2\n", "\n", "Predict y=`trip_count` from x=`temp` by ...\n", "1. `.fit()`ing a LinearRegression to predict y from x\n", "1. visually inspect your results using `show_fit()`\n", "1. store the following values in a new dataframe `df_regress` (see table immediately below)\n", " - slope \n", " - intercept\n", " - mse\n", " - r2\n", "1. Repeat the three steps above for each new x value below. (Use a loop)\n", " - x=`wind`\n", " - x=`rain`\n", " - x=`temp_c` (temperature in celsius)\n", " - `temp_c` = (`temp` - 32) / 1.8\n", " \n", "Your final `df_regress` should look similar to below:\n", "\n", "| | r2 | mse | slope | intercept |\n", "|-------:|---------:|-------------:|-------------:|-------------:|\n", "| temp | 0.150487 | 3.548955e+06 | 144.646765 | 1157.497714 |\n", "| temp_c | 0.150487 | 3.548955e+06 | 260.364178 | 5786.194210 |\n", "| wind | 0.137007 | 3.605272e+06 | -119.156711 | 11469.348993 |\n", "| rain | 0.271195 | 3.044684e+06 | -2224.622727 | 10644.350000 |\n", " \n", "Using the results above, answer the following questions\n", "1. Which of the four features, `temp`, `wind`, `rain` or `temp_c` best predicts changes in `trip_count`? \n", "1. Explain, to a non-technical expert, the meaning of each value in the slope column above\n", " - i.e. if \"slope\" of \"temp\" is 144.64, what does this mean?" ] }, { "cell_type": "code", "execution_count": 36, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.0" ] }, "execution_count": 36, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# how can I compute r2 and mse?\n", "from sklearn.metrics import r2_score, mean_squared_error\n", "\n", "# note: this is the same place where the classifier metrics are stored:\n", "from sklearn.metrics import accuracy_score, confusion_matrix\n", "\n", "# they have the same interface as their classifier siblings too\n", "mean_squared_error(y_true=[1, 2, 3], y_pred=[1, 2, 3])" ] }, { "cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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datetrip_counttempwindrain
02019-10-011218369130
12019-10-02907166111
22019-10-03114965490
32019-10-041176760160
42019-10-0593155690
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" ], "text/plain": [ " date trip_count temp wind rain\n", "0 2019-10-01 12183 69 13 0\n", "1 2019-10-02 9071 66 11 1\n", "2 2019-10-03 11496 54 9 0\n", "3 2019-10-04 11767 60 16 0\n", "4 2019-10-05 9315 56 9 0" ] }, "execution_count": 31, "metadata": {}, "output_type": "execute_result" } ], "source": [ "import pandas as pd\n", "\n", "df_bike = pd.read_csv('bluebike_201910.csv')\n", "\n", "df_bike.head()" ] }, { "cell_type": "code", "execution_count": 37, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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\n", 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "\n", "import pandas as pd\n", "\n", "df_bike = pd.read_csv('bluebike_201910.csv')\n", "\n", "# converting tmep to celsius (from fahrenheit)\n", "df_bike['temp_c'] = (df_bike['temp'] - 32) / 1.8\n", "\n", "# initialize empty table of regression stats\n", "df_regress = pd.DataFrame()\n", "\n", "# initialize regression object\n", "reg = LinearRegression()\n", "\n", "# get target variable\n", "y = df_bike['trip_count'].values\n", " \n", "for feature in ['temp', 'temp_c', 'wind', 'rain']: \n", " # get x feature\n", " x = df_bike.loc[:,feature].values.reshape(-1, 1)\n", " \n", " # fit regression\n", " reg.fit(x, y)\n", " \n", " # observing regression\n", " m = reg.coef_[0]\n", " b = reg.intercept_\n", " show_fit(x, y, slope=m, intercept=b)\n", " plt.xlabel(feature)\n", " plt.ylabel('trip_count')\n", " \n", " # make predictions given model\n", " y_pred = reg.predict(x) \n", " \n", " # store regression stats (dataframe prints nicely)\n", " df_regress.loc[feature, 'r2'] = r2_score(y_true=y, y_pred=y_pred)\n", " df_regress.loc[feature, 'mse'] = mean_squared_error(y_true=y, y_pred=y_pred)\n", " df_regress.loc[feature, 'slope'] = reg.coef_[0]\n", " df_regress.loc[feature, 'intercept'] = reg.intercept_" ] }, { "cell_type": "code", "execution_count": 38, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "260.352" ] }, "execution_count": 38, "metadata": {}, "output_type": "execute_result" } ], "source": [ "144.64 * 1.8" ] }, { "cell_type": "code", "execution_count": 33, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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r2mseslopeintercept
temp0.1504873.548955e+06144.6467651157.497714
temp_c0.1504873.548955e+06260.3641785786.194210
wind0.1370073.605272e+06-119.15671111469.348993
rain0.2711953.044684e+06-2224.62272710644.350000
\n", "
" ], "text/plain": [ " r2 mse slope intercept\n", "temp 0.150487 3.548955e+06 144.646765 1157.497714\n", "temp_c 0.150487 3.548955e+06 260.364178 5786.194210\n", "wind 0.137007 3.605272e+06 -119.156711 11469.348993\n", "rain 0.271195 3.044684e+06 -2224.622727 10644.350000" ] }, "execution_count": 33, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df_regress" ] } ], "metadata": { "celltoolbar": "Slideshow", "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.10.6" } }, "nbformat": 4, "nbformat_minor": 4 }