python-scripts/scripts/Linear Regression/example implementation/Linear Regression.ipynb

335 lines
99 KiB
Plaintext
Raw Blame History

This file contains ambiguous Unicode characters

This file contains Unicode characters that might be confused with other characters. If you think that this is intentional, you can safely ignore this warning. Use the Escape button to reveal them.

{
"cells": [
{
"cell_type": "code",
"execution_count": 34,
"id": "05f41765",
"metadata": {},
"outputs": [],
"source": [
"import pandas\n",
"from pandas import DataFrame\n",
"import matplotlib.pyplot as plt\n",
"from sklearn.linear_model import LinearRegression"
]
},
{
"cell_type": "code",
"execution_count": 35,
"id": "7f82f718",
"metadata": {},
"outputs": [],
"source": [
"data = pandas.read_csv('cost_revenue_clean.csv')"
]
},
{
"cell_type": "code",
"execution_count": 36,
"id": "656efe3f",
"metadata": {},
"outputs": [],
"source": [
"x= DataFrame(data, columns = ['production_budget_usd'])\n",
"y= DataFrame(data, columns = ['worldwide_gross_usd'])"
]
},
{
"cell_type": "code",
"execution_count": 37,
"id": "6db0a71e",
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 720x432 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(10,6))\n",
"plt.scatter(x,y,alpha=.4)\n",
"plt.xlim(0,4.5e8)\n",
"plt.ylim(0,3e9)\n",
"plt.xlabel(\"Budget\")\n",
"plt.ylabel(\"Revenue\")\n",
"plt.title(\"Cost v/s Revenue\")\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 38,
"id": "ec3fb414",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"LinearRegression()"
]
},
"execution_count": 38,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# y = theta_0 + theta_1*X\n",
"rgr = LinearRegression()\n",
"rgr.fit(x,y)"
]
},
{
"cell_type": "code",
"execution_count": 39,
"id": "40be1d77",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([[3.11150918]])"
]
},
"execution_count": 39,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"#theta_1 or slope\n",
"th0= rgr.coef_ \n",
"th0"
]
},
{
"cell_type": "code",
"execution_count": 40,
"id": "e4c31635",
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"<div>\n",
"<style scoped>\n",
" .dataframe tbody tr th:only-of-type {\n",
" vertical-align: middle;\n",
" }\n",
"\n",
" .dataframe tbody tr th {\n",
" vertical-align: top;\n",
" }\n",
"\n",
" .dataframe thead th {\n",
" text-align: right;\n",
" }\n",
"</style>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>production_budget_usd</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>0</th>\n",
" <td>1000000</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1</th>\n",
" <td>10000</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2</th>\n",
" <td>400000</td>\n",
" </tr>\n",
" <tr>\n",
" <th>3</th>\n",
" <td>750000</td>\n",
" </tr>\n",
" <tr>\n",
" <th>4</th>\n",
" <td>10000</td>\n",
" </tr>\n",
" <tr>\n",
" <th>...</th>\n",
" <td>...</td>\n",
" </tr>\n",
" <tr>\n",
" <th>5029</th>\n",
" <td>225000000</td>\n",
" </tr>\n",
" <tr>\n",
" <th>5030</th>\n",
" <td>215000000</td>\n",
" </tr>\n",
" <tr>\n",
" <th>5031</th>\n",
" <td>306000000</td>\n",
" </tr>\n",
" <tr>\n",
" <th>5032</th>\n",
" <td>200000000</td>\n",
" </tr>\n",
" <tr>\n",
" <th>5033</th>\n",
" <td>425000000</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"<p>5034 rows × 1 columns</p>\n",
"</div>"
],
"text/plain": [
" production_budget_usd\n",
"0 1000000\n",
"1 10000\n",
"2 400000\n",
"3 750000\n",
"4 10000\n",
"... ...\n",
"5029 225000000\n",
"5030 215000000\n",
"5031 306000000\n",
"5032 200000000\n",
"5033 425000000\n",
"\n",
"[5034 rows x 1 columns]"
]
},
"execution_count": 40,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"#theta_0 or c\n",
"th1 = rgr.intercept_\n",
"th1\n",
"Y=rgr.predict(x)\n",
"x"
]
},
{
"cell_type": "code",
"execution_count": 50,
"id": "0d71ef51",
"metadata": {
"scrolled": true
},
"outputs": [
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAmkAAAGDCAYAAABwRoerAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjUuMSwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/YYfK9AAAACXBIWXMAAAsTAAALEwEAmpwYAACPl0lEQVR4nOzdeXyc133f+895ltkBDECAIEhwl0RJlkVbi2XZjixHJpO4ie06ihvn3qRJ2rpJnaVJnLTJzU2c3KbbTdMluWmue521TRrHcVPHkV3Riyw7si1RkqmdEneCArEQmH2eebZz/3hmhgNgBgRADDEgf+/XyyYxGMycGUB8vji/c35Haa0RQgghhBC9xdjoAQghhBBCiKUkpAkhhBBC9CAJaUIIIYQQPUhCmhBCCCFED5KQJoQQQgjRgySkCSGEEEL0IAlpQgghhBA9SEKaEEIIIUQPkpAmhLgqSqkfUEodVUqVlFKTSqnPKaXecZWPeUYp9e51GNefruF5q/XXclEp9YdKqczVjEMIIdZKQpoQYs2UUj8L/AfgXwKjwC7gd4H3beCwGt4DPLKGr/serXUGeBPwZuAX13NQQgixUhLShBBropQaAH4d+IjW+tNa67LW2tNa/7XW+ufr94krpf6DUur1+v/+g1IqXv/csFLqs0qpnFJqTin1VaWUoZT6E6Kw99f1Ga1faPPcLyulvrvlY0spNauUuqv+sQEcAj6vlEoopf6rUupS/bmeUkqNXun1aa0vAv+LKKw1nuetSqkn6o9zTCn1YP3271dKHV00xp9RSn2m5X34TaXUOaXUlFLq95RSyfrnHlRKTSilfk4pNV2fjfyRlsd5TCn1D1s+/mGl1NdaPr5VKXWk/h4eV0p98EqvTQixOWzKkKaU+v36P2YvrOC+u5VSX1RKPVf/x278WoxRiBvA/UAC+B/L3Of/AN5KFHQOAm8Bfrn+uZ8DJoARolm4XwK01voHgXPUZ7S01v+2zeP+GfChlo+/A5jVWj9T//gtwCmt9Szw94EBYCewBfgxoHqlF1f/t+K7gBP1j3cAfwP8C2AI+Cjwl0qpEeAzwAGl1M0tD/EDQKPc+m+AW+rvw03ADuBXWu67rT7GHcA/AP4fpdTgCsaYBo7Un2cr0Xvyu0qpN1zpa4UQvW9ThjTgD4HvXOF9fxP4Y631nUS/9f+rbg1KiBvMFqJg5C9zn/8N+HWt9bTWegb4NeAH65/zgDFgd30G7qtaa73C5/5T4L1KqVT949ZABPB3uFzq9OpjvUlrHWitn9ZaF5Z57L9SShWB88A08Kv12/934BGt9SNa61BrfQQ4CrxHa10B/if14FgPa7cCn1FKKeAfAT+jtZ7TWheJysPf3/KcXv198rTWjwAl4MAK3ofvBs5orf9Aa+3XQ+pfAg+v4GuFED1uU4Y0rfXjwFzrbUqp/Uqpzyulnq6XTW6tf+p24Iv1v3+Z3lgrI8T14BIwrJSylrnPduBsy8dn67cB/N9Es1SPKqVOKaX++UqfWGt9AngZ+J56UHsvC0Na63q0PyEqW/73esn13yql7GUe/v1a6z7gQaKgNVy/fTfwffVSZ04plQPeQRQ0qT9/Y3bvB4C/qoe3ESAFPN3ydZ+v395waVHYrQAr2bCwG7hv0Zj+N6KZOSHEJrcpQ1oHHwd+Umt9N1EZ4nfrtx8Dvrf+978L9CmltmzA+IS43nwdcID3L3Of14mCRMOu+m1orYta65/TWu8Dvgf4WaXUQ/X7rWRGrVHyfB/wUj24oZTaRhScnqk/j6e1/jWt9e3A24hmn37oSg+utf4K0az9b9ZvOg/8idY62/K/tNb6X9c//yhRaH1TfVyN0DhLVF59Q8vXDdQ3J6xEmSjkNbQGsPPAVxaNKaO1/vEVPrYQooddFyGtvkX+bcBfKKW+Bfy/XP7t9qPAO5VSzwLvBC4Ay5VnhBAroLXOE62r+n+UUu9XSqWUUrZS6ruUUo11ZH8G/LJSakQpNVy//38FUEp9t1Lqpno5sAAE9f8BTAH7rjCE/w4cBn6cpbNon2+UTpVS71JKvVEpZdafx2t5niv5D8ChevD6r0Qzd9+hlDLrGxIebKxzrc+EfYpohnCIaK0YWusQ+C/Av1dKba2PaYdS6jtWOIZvAR+ov783Ea1Za/gscItS6gfr772tlLpXKXXbCh9bCNHDrouQRvQ6clrrN7X87zYArfXrWusPaK3fTLSIuXFxEUJcJa31bwE/S7QZYIZoZucngL+q3+VfEK3beg54nmh261/UP3cz8AWi9VdfB35Xa/1Y/XP/iijc5ZRSH+3w3JP1r3sb8Octn1rcemMbUXgqEJVIv0I9KK7g9c0Afwz8n1rr80Szdr/U8lp/noX/jv4p8G7gLxaVL/8ZUWn3G0qpQv11r2TNGcC/B1yi4PpHwH9rGV+RKKh+P9EM5UWiTQrxFT62EKKHqZWv0+0tSqk9wGe11nfUP34C+Pda67+o/2Z+p9b6WP239zmtdaiU+g0g0Fr/SudHFkJsVvX1cReB/fLLmBBis+vaTFq9FPBkvZfQi0qpX2tzH6WU+k9KqRP1Fhl3rfCx/4zoN+gD9f5C/4Bosew/UEodA17k8gaBB4HjSqlXibb5/8Y6vDwhRG8aIpr1koAmhNj0ujaTVp/NSmutS/WdVF8Dflpr/Y2W+7wH+Emi8sR9wH/UWt/XlQEJIYQQQmwiXZtJ05FS/UO7/r/FifB9RD3MdD28ZZVSYwghhBBC3OC6unGgvgPqW0QNIY9orb+56C47iBbfNkzUbxNCCCGEuKEt14TyqmmtA+BNSqks8D+UUndorVuPclLtvmzxDUqpDwMfBkin03ffeuutS75ICCGEEKLXPP3007Na65Er33Oproa0Bq11Tin1GNFRTq0hbYLoPL2GceqNLhd9/ceJmtVyzz336KNHjy6+ixBCCCFEz1FKnb3yvdrr5u7OkfoMGkqpJFHvoFcW3e0zwA/Vd3m+FcjXex8JIYQQQtzQujmTNgb8Ub3LtwF8Umv9WaXUjwForX+PqOHke4iaPFaAH+nieIQQQgghNo2uhTSt9XPAm9vc/nstf9fAR7o1BiGEEEKIzep6ORZKCCGEEOK6IiFNCCGEEKIHSUgTQgghhOhBEtKEEEIIIXqQhDQhhBBCiB4kIU0IIYQQogdJSBNCCCGE6EES0oQQQgghepCENCGEEEKIHiQhTQghhBCiB0lIE0IIIYToQRLShBBCCCF6kIQ0IYQQQogeJCFNCCGEEKIHSUgTQgghhOhB1kYPQAghhBCiGyZzVY5N5JgruwylYxwczzKWTW70sFZMZtKEEEIIcd2ZzFU58tIUVTdgOBOn6gYceWmKyVx1o4e2YhLShBBCCHHdOTaRoy9h0ZewMZSiL2HTl7A4NpHb6KGtmIQ0IYQQQlx35sou6fjCVV3puMVc2d2gEa2ehDQhhBBCXHeG0jHKNX/BbeWaz1A6tkEjWj0JaUIIIYS47hwcz1J0fIqOR6g1Rcej6PgcHM9u9NBWTEKaEEIIIa47Y9kkh24fJRkzmS3VSMZMDt0+uql2d0oLDiGEEEJcl8ayyU0VyhaTmTQhhBBCiB4kIU0IIYQQogdJSBNCCCGE6EES0oQQQgghepCENCGEEEKIHiQhTQghhBCiB0lIE0IIIYToQRLShBBCCCF6kIQ0IYQQQogeJCFNCCGEEKIHSUgTQgghhOhBEtKEEEIIIXqQhDQhhBBCiB4kIU0IIYQQogdJSBNCCCGE6EES0oQQQgghepCENCGEEEKIHiQhTQghhBCiB0lIE0IIIYToQRLShBBCCCF6kIQ0IYQQQogeJCFNCCGEEKIHSUgTQgghhOhBXQtpSqmdSqkvK6VeVkq9qJT66Tb3eVAplVdKfav+v1/p1niEEEIIITYTq4uP7QM/p7V+RinVBzytlDqitX5p0f2+qrX+7i6OQwghhBBi0+naTJrWelJr/Uz970XgZWBHt55PCCGEEOJ6ck3WpCml9gBvBr7Z5tP3K6WOKaU+p5R6Q4ev/7BS6qhS6ujMzEw3hyqEEEII0RO6HtKUUhngL4F/qrUuLPr0M8BurfVB4LeBv2r3GFrrj2ut79Fa3zMyMtLV8QohhBBC9IKuhjSllE0U0P6b1vrTiz+vtS5orUv1vz8C2Eqp4W6OSQghhBBiM+jm7k4FfAJ4WWv9Wx3us61+P5RSb6mP51K3xiSEEEIIsVl0c3fn24EfBJ5XSn2rftsvAbsAtNa/BzwM/LhSygeqwPdrrXUXxySEEEIIsSl0LaRprb8GqCvc53eA3+nWGIQQQgghNis5cUAIIYQQogdJSBNCCCGE6EES0oQQQgghepCENCGEEEKIHiQhTQghhBCiB0lIE0IIIYToQRLShBBCCCF6kIQ0IYQQQogeJCFNCCGEEKIHSUgTQgghhOhBEtKEEEIIIXqQhDQhhBBCiB4kIU0IIYQQogdJSBNCCCGE6EES0oQQQgghepCENCGEEEKIHiQhTQghhBCiB0lIE0IIIYToQRLShBBCCCF6kIQ0IYQQQogeJCFNCCGEEKIHSUgTQgghhOhBEtKEEEIIIXqQtdEDEEKIyVyVYxM55souQ+kYB8ezjGWTGz0sIYTYUDKTJoTYUJO5KkdemqLqBgxn4lTdgCMvTTGZq2700IQQYkNJSBNCbKhjEzn6EhZ9CRtDKfoSNn0Ji2MTuY0emhBCbCgJaUKIDTVXdknHF668SMct5sruBo1ICCF6g4Q0IcSGGkrHKNf8BbeVaz5D6dgGjUgIIXqDhDQhxIY6OJ6l6PgUHY9Qa4qOR9HxOTie3eihCSHEhpKQJoTYUGPZJIduHyUZM5kt1UjGTA7dPiq7O4UQNzxpwSGE2HBj2aSEMiGEWERm0oQQQgghepCENCGEEEKIHiQhTQghhBCiB0lIE0IIIYToQRLShBBCCCF6kIQ0IYQQQogeJCFNCCGEEKIHSUgTQgghhOhB0sxWCCFET5nMVTk2kWOu7DKUjnFwPCvNjsUNSWbShBBC9IzJXJUjL01RdQOGM3GqbsCRl6aYzFU3emhCXHMS0oQQQvSMYxM5+hIWfQkbQyn6EjZ9CYtjE7mNHpoQ15yENCGEED1jruySji9ciZOOW8yV3Q0akRAbR0KaEEKInjGUjlGu+QtuK9d8htKxDRqREBtHQpoQQoiecXA8S9HxKToeodYUHY+i43NwPLvRQxPimutaSFNK7VRKfVkp9bJS6kWl1E+3uY9SSv0npdQJpdRzSqm7ujUeIYQQvW8sm+TQ7aMkYyazpRrJmMmh20dld6e4IXWzBYcP/JzW+hmlVB/wtFLqiNb6pZb7fBdwc/1/9wH/uf6nEEKIG9RYNimhTAi6OJOmtZ7UWj9T/3sReBnYsehu7wP+WEe+AWSVUmPdGpMQQgghxGZxTdakKaX2AG8GvrnoUzuA8y0fT7A0yKGU+rBS6qhS6ujMzEzXximEEEII0Su6HtKUUhngL4F/qrUuLP50my/RS27Q+uNa63u01veMjIx0Y5hCCCGEED2lqyFNKWUTBbT/prX+dJu7TAA7Wz4eB17v5piEEEIIITaDbu7uVMAngJe11r/V4W6fAX6ovsvzrUBeaz3ZrTEJIYQQQmwW3dzd+XbgB4HnlVLfqt/2S8AuAK317wGPAO8BTgAV4Ee6OB4hhBBCiE2jayFNa/012q85a72PBj7SrTEIIYQQQmxWcuKAEEIIIUQPkpAmhBBCCNGDJKQJIYQQQvQgCWlCCCGEED1IQpoQQgghRA+SkCaEEEII0YMkpAkhhBBC9CAJaUIIIYQQPUhCmhBCCCFED5KQJoQQQgjRgySkCSGEEEL0IAlpQgghhBA9SEKaEEIIIUQPkpAmhBBCCNGDJKQJIYQQQvQgCWlCCCGEED1IQpoQQgghRA+SkCaEEEII0YMkpAkhhBBC9CAJaUIIIYQQPUhCmhBCCCFED5KQJoQQQgjRgySkCSGEEEL0IAlpQgghhBA9SEKaEEIIIUQPkpAmhBBCCNGDJKQJIYQQQvQga6MHIIQQ62kyV+XYRI65sstQOsbB8Sxj2eRGD0sIIVZNZtKEENeNyVyVIy9NUXUDhjNxqm7AkZemmMxVN3poQgixahLShBDXjWMTOfoSFn0JG0Mp+hI2fQmLYxO5jR6aEEKs2opCmlJqVCn1CaXU5+of366U+gfdHZoQQqzOXNklHV+4iiMdt5gruxs0IiGEWLuVzqT9IfC/gO31j18F/mkXxiOEEGs2lI5RrvkLbivXfIbSsQ0akRBCrN1KQ9qw1vqTQAigtfaBoGujEkKINTg4nqXo+BQdj1Brio5H0fE5OJ7d6KEJIcSqrTSklZVSWwANoJR6K5Dv2qiEEGINxrJJDt0+SjJmMluqkYyZHLp9VHZ3CiE2pZW24PhZ4DPAfqXU3wIjwMNdG5UQQqzRWDYpoUwIcV1YUUjTWj+jlHoncABQwHGttdfVkQkhhBBC3MBWFNKUUj+06Ka7lFJorf+4C2MSQgghhLjhrbTceW/L3xPAQ8AzgIQ0IYQQQoguWGm58ydbP1ZKDQB/0pURCSGEEEKINZ84UAFuXs+BCCGEEEKIy1a6Ju2vqbffIAp2twOf7NaghBBCCCFudCtdk/abLX/3gbNa64kujEcIIYQQQrDyNWlf6fZAhBBCCCHEZSs9YP0DSqnXlFJ5pVRBKVVUShW6PTghhBBCiBvVSsud/xb4Hq31y90cjBDi+jCZq3JsIsdc2WUoHePgeLZnTwHYTGMVQtxYVrq7c2q1AU0p9ftKqWml1AsdPv9gfWbuW/X//cpqHl8I0Zsmc1WOvDRF1Q0YzsSpugFHXppiMlfd6KEtsZnGKoS48ax0Ju2oUurPgb8Cao0btdafXuZr/hD4HZZvePtVrfV3r3AMQohN4NhEjr6ERV/CBmj+eWwi13MzVJtprEKIG89KQ1o/UW+0wy23aaBjSNNaP66U2rP2oQkhNqO5sstwJr7gtnTcYrZU6/AVG2czjVUIceNZ6e7OH+nS89+vlDoGvA58VGv9YpeeRwhxjQylY5RrfnNWCqBc8xlKxzZwVO1tprEKIW48K93deYtS6ouN9WVKqTuVUr98lc/9DLBba30Q+G2iUmqn5/+wUuqoUurozMzMVT6tEKKbDo5nKTo+Rccj1Jqi41F0fA6OZzd6aEtsprEKIW48K9048F+AXwQ8AK31c8D3X80Ta60LWutS/e+PALZSarjDfT+utb5Ha33PyMjI1TytEKLLxrJJDt0+SjJmMluqkYyZHLp9tCfXeG2msQohbjwrXZOW0lo/qZRqvc2/midWSm0j2jWqlVJvIQqMl67mMYUQvWEsm9w0QWczjVUIcWNZaUibVUrtp35+p1LqYWByuS9QSv0Z8CAwrJSaAH4VsAG01r8HPAz8uFLKB6rA92utdYeHE0IIIYS4oaw0pH0E+Dhwq1LqAnAa+N+W+wKt9Yeu8PnfIWrRIYQQQgghFllpSDurtX63UioNGFrrYjcHJYQQQghxo1vpxoHTSqmPA28FSl0cjxBCCCGEYOUzaQeA7yEqe35CKfVZ4L9rrb/WtZEJIcR1Ts4NFUIsZ0UzaVrrqtb6k1rrDwBvJjqB4CtdHZkQQlzH5NxQIcSVrLTciVLqnUqp3yVqQpsAPti1UQkhxHWu9dxQQyn6EjZ9CYtjE7mNHpoQokesqNyplDoNfAv4JPDzWutyNwclhBDXOzk3VAhxJStdk3ZQa13o6kiEEOIGIueGCiGuZKXlzm1dOLtTCCFuWHJuqBDiSjbs7E4hhLiRybmhQogr2bCzO4XoVdIWQVwrcm6oEGI5K51JW/XZnUJsRtIWQQghRK/o2tmdQmxGrW0RgOafxyZyMuMhhBDimlpRSNNanwKaZ3cCVeDvAWe7ODYhrjlpiyCEENeR5z4JX/x1yE/AwDg89Ctw5+Zp87psuVMp1a+U+kWl1O8opQ4BFeDvAyeQZrbiOtRoi9BK2iIIIcQm9Nwn4a9/CvLncYMQ8uejj5/75EaPbMWutCbtT4jO7Xwe+EfAo8D3Ae/XWr+vy2MT4pqTtghCCLH5+b7PE//fP+djR+Z52yfK3PLbJbTW4FWjmbVN4krlzn1a6zcCKKX+P2AW2KW1LnZ9ZEJsgEZbhGMTOWZLNYbSMd66b4usRxNCiB538uRJHn30UR599FG+9KUvUSgUUMC9Owx+8E6bWgAJi6j0uUlcKaR5jb9orQOl1GkJaOJ6t5FtEaT9hxBCrEwul+NLX/oSR44c4dFHH+XUqVMA7Nq1i7/39/4eh93P8e2jeYaSauEXDoxvwGjX5koh7aBSqnEclAKS9Y8VoLXW/V0dnRA3kEb7j76ExXAmTrnmc+SlKWlwKoQQRCXMJ598sjlb9s1vfpMwDMlkMrzrXe/iZ37mZzh8+DA333wzSqnLa9K8lhZKdjLaPLBJLBvStNbmtRqIEDe6tbb/kNk3IcT1qlHCPHLkCF/84hejEqZS3HvvvfzSL/0Shw8f5q1vfSu2bS/94sYuzk28u3OlfdKEEF22lvYfMvsmhLie5HI5vvzlLzdny5aUMA8f5tu//dsZGhpa2QPe+cFNFcoWk5AmRI9otP9ozKDBldt/SPPdzU1mQcWNbnEJ88knnyQIgs4lzBuMhDQhesTB8SxHXpoCohm0cs2n6Pi8dd+Wjl8jzXc3L5kFFTeqU6dONUPZ4hLmL/7iL3L48GHuu+8+YjHpTykhTYgesZb2H2uZfRO9QWZBxY1iuRLmBz/4QQ4fPsxDDz208hLmDURCmhA9ZLXtP9Yy+9aLbsSyn8yCiutVo4TZaI3xzW9+U0qYayQhTYhN7Hpovnujlv1kFlRcT1pLmF/60pfI5/PNEuY//+f/vLkLU0qYqyMhTYhNbiOb766HG7Xsd73MgoobUz6f50tf+lLbEub3fd/3NXdhbtkiP89XQ0KaEGJD3ahlv+thFlTcOHzf56mnnlrQSHZxCfPQoUPccsstUsJcRxLShBAb6kYu+232WVBxfetUwrznnnukhHmNSEgTbd2IC7nFxpCynxC9oVHCbCz4P3nyJAA7d+6UEuYGkZAmlrhRF3KLjSFlPyE2xpVKmD/90z/N4cOHpYS5gSSkiSVu1IXcYuPcqGU/mbEW15qUMDcXCWliiWu1kFsuUOJGJjPW4lrI5/MLGslKCXNzkZAmlrgWC7nlAiVudDJjLbqhUwkznU5LCXMTkpAmlrgWC7nlAnVjktnTy27U1iNi/Z06daq52P+LX/yilDCvIxLSxBLXYiG3XKBuPMvNngI3XHi7kVuPiKuzXAnz4Ycfbp6FKSXMzU9Cmmir2wu55QJ14+k0e/rY8Wm8QK+69L3ZZ+Wk9YhYqdYS5pEjR/jGN74hJcwbhIQ0sSHkAnXj6TR7+tSZOe7dM7Sq0vf1sKZRWo+I5Zw+fbo5U9auhHno0CHuv/9+KWFe5ySkiQ0hF6gbT6fZU6WisNbqSqXv62VN40a2HtnsM5HXGylhinYkpIkNc6P2xrpRdZo9vWN7Pxfmq8yUHIqOT1/CYiSTYCyb6PhYsqbx6lwPM5GbXaOE2VjwLyVM0Y6ENCHENdFp9nS64PDxx0+TTVsMJGzyVY+zs1U+/MDejo+1nmsab8QZpetlJnKzWa6E+c/+2T/j8OHDUsIUC0hIE0JcM+1mT49N5Lh7T5bZokux5jGQiLF/JMNkweFgh8dZrzWNN+qMksxEXhuNEmZjtuzEiROAlDDFyklIE0JsqLmySypmgaoHBKVJxSzmym7Hr1mvNY0bPaO0UbN4sru6O3zf5+jRo83ZssUlzJ/6qZ/i0KFDHDhwQEqYYkUkpF3nbsRSjthcFPDk6TkG0zb9CRvHD3jy9Bz37hlc9uvWY03jRs4obeQsnuyuXj+tJcwvfelL5HI5lFLcfffdUsIUV01C2nXsRi3lLCZBtddpql5AYdbFC0Nsw8C2TEB3/Zk3ckZpI2fxZHf12hUKhQW7MBslzPHxcb73e79XSphiXUlIu45tdCmnF2y2oHojBspcxccPAqYKNRw/IGGZbBuIk6v4XX/ujZxRmiu7GErx2rm55q7WXUNpql7Q9ecG2V29UsuVMB988EF+8id/ksOHD0sJU3SFhLTrmCwO3lxBdbMFyvVyIVdhvuKxbSCBbRp4Qch8xeVCrtL1597IGaW1lnlF9zVKmEeOHOGLX/yilDDFhulaSFNK/T7w3cC01vqONp9XwH8E3gNUgB/WWj/TrfHciGRx8OYKqpspUDasx8xf0fGxDEUUWwAUlqEoOt2fSYONnFHSKAXo+uvWKvr4GpR5xUJXKmEeOnSIhx56iOHh4Q0eqbjRdHMm7Q+B3wH+uMPnvwu4uf6/+4D/XP9TrJNulXI2U0luMwXVzRQoYf1m/jIJi7iZouj6VNyAZMxg12AK2za6OPqNp1Hcu2eQc5eqFByPvrjNvXsGCSWjdV1rCfPIkSN8/etflxKm6EldC2la68eVUnuWucv7gD/WWmvgG0qprFJqTGs92a0x3Wi6UcrZbCW5zbSLbTMFSli/mb87tvdz9GyO7QMpEraB44Xkqi5v3t7flXH3iqF0jKobcNfuy+XNouORjJkbOKrr1+nTp5v9yqSEKTaLjVyTtgM43/LxRP22JSFNKfVh4MMAu3btuiaDu15cbSln8azZfNndVCW5tQTVjZop3EyBEtZv5u/BA6PMFl3mKi75aoBtKvYMpXjwwOh6DrfnbLbv92azXAnzAx/4QHMXppQwRS/byJDWbg657US/1vrjwMcB7rnnHikGXCPtZs2eOHmJt980TF/L/Xq5JAerC6qTuSqfemaCuVINLwixTYPXpks8fNf4dd8WYbXhdL1m/saySR6+Z+emKaGvl7FskoPjAzzywiRTBYfR/gTvuWPsun/d0J1fhIIgWLALs1HCTKVSvOtd75ISptiUNjKkTQA7Wz4eB17foLGINtqVs4YzMY5fLDB800jzfr1cklutx45Pc3qmzGDaZiAWw/EDTs+Ueez4NB+6b3fXn3+jFrGvpYy9njNBN2I7iMlclcdPzOL6IZm4heuHPH5ilq39iev6vVjPJRNnzpxZcBbm4hLmoUOHuP/++4nH41d+MCF60EaGtM8AP6GU+u9EGwbysh6tt7QrZx3Y1scTJy9RdLzrskTz/IU82ZRF0o7+00jaFjqlef5Cng9dg+ffqFLrWtaXbfTM32a30b8QbJQV/aw990n44q9DfgIGxuGhX4E7P9gsYTbWlr322muAlDDF9aubLTj+DHgQGFZKTQC/CtgAWuvfAx4har9xgqgFx490ayxieZ2CQbtyVtwyuX/fEMmYedUX5mPn5peUeg7u2tgeUQtaIjQ0WyN010Zuyljr+rIbcQZsvTx/IY9tKiZzVSpeQMo26UvY1+wXgo1yxZ+15z4Jf/1T4FUJQs3RF0/z6N/8KI/O/Spff+61BSXMn/iJn+DQoUPceuutUsIU16Vu7u5c9t+Z+q7Oj3Tr+cXKLBcMOpWz1iM0HDs3z8cfP002bbF9IEne8fj446f58ANsaFBr7DRUSjV3GuYdj3t2Z7v+3BvZJ22z7Sy9HlRqAVNFh0zcImVbeEHIubkKo32JjR5aVw2lY+x/8lfYe+5TKB2glcnpXQ8T3vtrAJz5i1/m0W/lefSkzxdP++ScaAHzXeNn+IVf+IXmLkwpYYobgZw4cINbLhh85x1jXStnPfLCJNm0xWAq+oe28ecjL0xuaEjbyJ2GG9knTXYaXnvpuIGfC2lt4usHIen49d0f7h2v/ivSZ/+8+aqLjs8Lj/5XHvnkN/ipk87lEma/4gO32hzeb/HQPpPhlAkf+5cbN3AhNoCEtBvclYJBt8pZUwWH7QMLH3cgYfN6vrruz7UaG7nTcCNns2R92bW3YzBF0Qko1wLKfoBlGIwNJNkxmNrooXVV8tif8OQFn0dPBjx6yucbEwF+CCn7ed51+O/wkTcUOby9yK3DxsIS5sD4xg1aiA0iIe0Gt1HBYLQ/Qd7xmjNoAHnHY7R/40s9G7XO6uB4tt7+I9ds/zGUifPwXdfm4iTry66tfSMZErbJbNGlWItOHBjui7H9OvweNHZhHjlyhC98Nne5hDlm8PNvi3F4v8X94ybxf/HZBWvSmuxktHlAiBuMhLQb3EaVud5zxxgff/w0EM2g5R2PXNnng3fvvMJXLrWZjqm6ouaZQGrRx+J6c3A8y3Shxs2jmQX/7R0czy6572b7GS8UCjz22GPN9hgLdmHeFuPwPrNewmwp7ar6SQt3fjD6s83uTiFuNCpav7953HPPPfro0aMbPYzryoa1fTg3z188fZ7jU0WSdrRr9P1v3slYNrniMbVufFjvzQ3X2udfmKTqBgtmNRvHBH3nHWMbODLRLSv5Od8MP+OtjWQbZ2H6vk8qleLBBx/k8OHDHD58ONqF+Tc/hz76iQXdzDWg7vkH8N2/tVEvQYiuUUo9rbW+Zy1fKzNpomOZq9vhbWt/gltG+7l791Dz4nPkpSkOjg9wbCK/olYUG7kjcr1ttgPWxbXRqz/jZ86cWXAW5vz8PEop7rrrLn7+53++4y7MyXf8BrmLBQ5c+EuUDtHK4PiO7yX7jt9AfhURYiEJaaKt9e7Z1S7wdbr4PPLCJLdu61/RRelaBptuh9YbuQ3GZivnrYeV/jfWK+F9uRLm3/27f5dDhw7x0EMPMTIysuzjHJvIUb3rY1x42280bys6HslN+IuVEN0mIU20tZ6/vXe6GJVrPvu3ZhbcNx23mCo43L17aMnt7S5KKwk26xEArkWj2Y1ug7FRQWkjm/hupJX+N7ZR4b1RwmzMli0uYX7kIx+5XMJcRSPZXgmdQmwGEtJEW+v5D2mni9GFXKXtxWe0P7Hii9KVgs16BYBrUXLayDYYGxmUerWc120r/W+sa+H9j94Lp79y+eO97+Tsg7+94CzM+fl5AO6++25+/ud/nkOHDvG2t73tqhrJ3sgzxkKsloQ00dZ6/kPa6WI0kLQpOn7z48bF5z13jHFsIr/k9nYXpSsFm/UKANfqt/+1tMFYjxmwjQxKa31vN3uJdKX/jXUlvNcDWqGmeeyMz6MnfY6c+htevfTXAOzYsYP3v//9zbMwr1TCXI2NnjEWYjORkCbaWs+eXZ0uRvtGMs21aYsvPlv7Eyu+KC0XbNYrXK2lrDrWn2Cy4HQ1RKzXDNhGlqDW8gvB9VAiXU1YWa8edkEQ8PTTT/PoHz3Koyd9vt5sJAsP7rH4J/fYHP73z3b1LExpnCzEyklIEx0Vqh5nZsuUPZ+0bWGZazuuZrmLUaeLz3pdlNZrRnC1ZdUL81X++luT3L0ny/hgqmshYr1mwDayBLWWmZXroUR6rcLK2bNn25Yw7xoz+Oj9USPZt+00iVv1UHbbbev6/O1I42QhVkZCmmjrsePTXCq57NuaIWGZOH7ApZLLY8en+dB9u1f1WBv5m/N6lVZWW1adKTlk0xazRZddQ+muhYi5souhFK+dm6Po+PQlLHYNpal6waoeZ7n3qdtlxbX8fFwvi8+7EVaKxeKCXZivvvoqsKiE+fQ/YiR9fZ8RKsT1QELadWK9L6TPX8iTTVkk7ehHJGlb6JTm+Qt5PrSGx9uo35yvVUBcHBqKjs9AwqZY85q3dSNEKODJ03MMpm36EzaOH/Dk6Tnu3bO6Q+o7vU/ANSkrrvbn44ZbfP7cJy934E/Wv7fVeRgYJ3jwl3na29cMZYt3Yf6Tf/JPOHToELfddtvlEmbtTxduGmjY+85r95qEEFd0XYe0yVyVx45P8/yFPErBHdv7efDA5lmzslLdWJ+jFKAXrUnRii4tU+mq9QiIV3qPF4eGvoRFvuoxkLgcGlYSIlYftjVVL6Aw6+KFIbZhYFsmUQ/31Wn3Pn3+hclly4rr9cvBah/nhlp8vvgsy+ocZ3NhfbH/cb7wf/wA89Xo+33XXXfx0Y9+lMOHDy+/C/Pvf6bt7k7+/me6/GKEEKtx3Ya0yVyVTz0zwemZMtmUBVpx9GyO2aLLw/fsvK6CWjfW59yxvZ+jZ3MopUjYBo4Xknc87tmdXa9hbypXeo8Xh4aRTIKzs1X2j2QItV5RiFhL2M5VfGxD4QJohQZsQ5Gr+OvyupcrK67XLweN/1bnSrXmJpXXpks8fNf4sptFuj1D2jO7R7/46xRLleYuzEdPBbx6KQRgR5/i/QcsDr9xlIf+3TOr24UpgUyInnfdhrRjEznmSjUG03azZKeUYq7ibqrFxSvRjfU5Dx4YZbboMldxyVcDbFOxZyjFgwdGr3a4Pe/YuXkeeWGSqYLDaH+C99wxdsX3eHFoGMsm+PADe5ksOCsOEWsJ27mqS1/SYteWdPO2+UqNXNXt+DyrCR/LlRXX65eDx45Pc3qmzGDaZiAWw/EDTs+Ur7j+sZsl9Gu2e/Rjg0DYcoMBH5u/vAvz0Ud59L+8smAX5jt3W/z4PTaH91vcNmzUS5hFWMc2GUKI3nDdhrS5sosXhAzELpeXErZBvhowV+58AduMurE+Zyyb5OF7dvbGTMI1dOzcPB9//DTZtMX2gSR5x+Pjj5/mjTv6SNrmsu9xu9BwcBXPvZawPZC0KVR9qm7QnPEMw+j2dlYbPpZrxfLl49Pr8svBeq9/7GQ14fSa7B5dFNDO5kKOnHJ59A0xvjCZubwLczzBR+83l+7CbDWw+tY4Qojed92GtKF0DNs0cPyg+Y+/44XYprruFhd3a33OjbhN/pEXJsmmLQZTUfho/Hl+vkIqHl2ou7UGai1he99IhoRtMlt0KTgefXGbHYMZtndYL7am8BE21repBR+v1y8HSkGpFnAx71DxAlK2SSZhY5vrtwByteH0WuweLdaCziXMh9/PoUOHePe7383I5JcXrklbzE7CQ7+ybuMSQvSO6zakHRzP8tp0idMzZXRKg1bkHY89QykOjmc3enjrSppDrp+pgsP2gYXv20DC5vV8dV3f43YBai1h++B4lulCjZtHMwu+Zqw/sarzUhtrzNqFuvGhFLdtH2jev+h4HJvIrdsvB+PZJH/93CRojVKgNaAU33Pn2KoeZzmrDafdmJ1ulDAbZ2E+8bUifghJK2oku6CE+Wu/f/kLRz4Y/dlhdycP/Qrc+cE1j0sI0buu25A2lk3y8F3jC3Z33rM7e13u7oQbc9arG0b7E+QdrzmDBpB3PEb7E+v2Hi83q3NwfGDJerjlnrNTQF/teakK2i7et5TqGOrW85cDrTUKteDj9bTambH1CqBnz55thrIvfOELl0uYd93VvpFsJ3d+UIKYEDeg6zakQXQB+9B9u9d1XYu4vr3njjE+/vhpIJpByzseubLPB+/euW7P0SlAPXZ8Gi/Q3Lqtn7t3D1Gu+RybyLO1HhA7aRceO60X63RearnmtV28n4oZJGyTmZLTbJY7kkkwlk10fO7VOj9f5Y07+inWAqpuSDJm0Bc3OT/foby3BqudGVtrAG1tJHvkyBGOHz8OwPbt23nf+97H4cOHoxLmyEibTQMN0mRWCBG5rkOaEKt1cNcgH34gWpv2er7KaH+CD969k4O7VtccdjmdZnWeOjPHvXuG1mWx+nLnpY71J5bM1v350fNtF+9PzFeYL/tk01YUWqseZ2erfPiBvVfzFiygFGTiMbb2X/7nqFLzqQWrOzVhOWuZGVsQQJ/7JPxBvdzYUmIMgoBnnnmm2Uj2iSeewPd9kskkDz74ID/2Yz/G4cOHFzaSbfjYfMfdnUIIARLSbmg90weqxxzcNbiuoWyxTgFKqShAzJVdzlwqUXR8MnGT/sTq10F1CiX7htM8fmIW1w/JxC1cP+TxE7NUagEJy1z4IFpRdUPeemuW2aJLsRY1590/kmGy4Kxq5+py7tjez+OvXcLzgwUNeR+4ef02ZaxpZuyzPwtP/yHohWHx3LmzPPqr/5BHK/+eLzx1fGEJ86Mf5dChQ7z97W/v3Ei2lQQyIcQyJKTdoK5ZH6hraLOEzk5tLe7Y3s/Lk3mOnp0nDDX9CZuSYzJf8ZnMVVf1WjqFkk49yZTS5B1vSfPiLZkY44Mpdg1d7sMWar2uuxxvHxvgyIvT+DpEoXCDqI3I7WMDV/7iVehYmv2d+2D2lcsfD98Ke94ORz8BQLGm+cpZn0dPBjx60ud4fRfm9v6jvO8D/3t0FuZDD7F169Z1Ha8QQkhI63HdCh7XpA/UNdSt0Nm14NemrcXWTJy/ePoCCdtgIGFTcQNmijXecfPwmr4v7UJJp55kl0ou+4ZSS5oXD/d1/4zMyYLDO24Zbs7W9cVthvti6zpb19HigAYE0y/zzLEX660xfJ44HyzYhfljzV2YJurX/qDbIxRC3MAkpPWw5YIHcFXh4Wr6QPXijFU3Qme3gl+nthZPnp1nrD9BoDVVLyQVN9k2EKfmr60Bc7vvU6czWTMJq23zYqDrZ2TOld2uz9YBCw8pb6wrqwe0c/noLMxHT/p88XTAXP0szDdvM/i5+i7Mty/ehTmwfptJhBCiHQlp19h6dD1v7AK8mvCw1j5QvVom7Ubz0W7NNnYa61TBYedQCi/QJGPR+jCtNdNFh4M7V7dGrtN5mOPZJCdmym3PZO1UDux2D75u9CQDFoay5CC4JQiisFuaOcdj//c/5tFXnYUlzD7Few9YHN5n8dA+k63pDjstpYGsEOIakJB2Da1X1/P12AW41j5QvVYmbYTeF1/PEzMNbhsbaF7cGxf6tc78davrfKdQMtqfIGEbvPj6PIHWDCQsErZF3DZW3YC509qzm7em2dOmrLncmazd7sG37idmfPZn4ek/AH1512RQvsQzk2GzhPn18wFeSwnzH98dlTBvH4nOwtRAx85lAzulgawQ4pqQkHYNrVfX88YuwFarDQ8r2e3WLtxci+NyVqo19L5xxwBPnZnnG6cu8Za9Q8Qto7mbca0zf92a4ekUSt6ye5BPPzvJlkyMqhtyqVLD910+8uC+Zcfa7vv0/IU8tqmYzFWbRy31JWzOz1f5yW+/uafK1et6YsZnfxZ99BMoohLmkXoo+8KphSXMn62XMO/faZKw1IJApoFi3030H3jn5d2dyoS7fxi++7eu/gULIcQKSUi7htar6/kd2/vXJTwsN0PSadbPNlXXF5KvVGvo7cPmvr1DvDxZ4LmJHA/cMrJs5/2VzPx180zUTqcEjA3EeOpcjkLFpT8V495dWbxlmu93+j5dKkVneWbiFinbwgtCzs1VGO3rfHLCRq41XNVsXbOMeX7BzaW+m/ny069w5KS34hJmOTFG0U7TVzzRvK3YdxOffcen+YH7dksoE0JsKAlp19B6dT2H7i/m7hRuHM9v27F+PZ97pRaH3qF0nPv3DzNbqvGdd0TnPnbqvL/czN+xc/PNZq/pmMnOwRT9qRgKsM3oMa82xLQLJX/y9TM8ey5PNmmzoz9B2Qt49lyemGU2X8+SsXb4PlVqHn4Qcrlop/CDkHS8/RqrXl1ruGRdWVADtwxAEOpmCfPIKZ8nzj/dLGG+c4/JP747vqCEuYSd5MSdP8upbe9Z8N9k0fEYiplL7y+EENeYhLQVWK8Zhqvuet6i24u558ouhlK8dm6ueRzQrqE0GsWh27f2xGHuKwm9qw3Gx87N8/HHT5NNW2wfSJJ3PJ6/UOQDbx7jQr5GX8Jqfu/WO8ScmC7hhiHn56o4vk/CskjHTU5Mlzp+TafZ2WTcZDAdp1wLKPsBlmEwNpBkx2Cq40HqvbTWEIgC2l//FHj146Gqc1csYR6q78JMtDsL07Ah3rfgYPKtu76HY13+hUcIIdZKQtoVrOcMw9WuvbmW5SgFfOXVaVw/JAg1pqE4PVvmgZtHrmoh+Xq+hpWE3tUG40demCSbtpoHrNuGScGp8JtHXuWt+7Zw29gAhlJXHWLavQ/5qsvruSoJ2yRhmtT8gHzVJWV3PsuxUwjdO5xhtD+xpPdY0jbb/jyXa37Hg9SviY+1aVw7sJNSucJjZ6JGskdO+bwyu7CEeWifxbtbSpjtKsMaCIwk1vv/05LF/mN0/xceIYRYKwlpV7DeMwxrDTjXuhyVq7i8nnPIJm1SMZOKGzBbcshVVt+vq2G9X8NKQu9y92kXlKYKDtsHoq8vOT6nZkvELEXVC1AKvnU+x5t2ZgE4PVtkMu8ArCpsdnofCvVjoCzDxAtDEpaJZYDjtTuEm+bztguh77ljjGMTeW4ezSy4HXTbn+cLucrGrTVsCWhBqHn2YqNn2Ss80bIL8517TD581xVKmMAr49/HgQt/idIhWhkc3/G9ZB/+7Y7fn27vXhVCiLWSkHYFvbKb8VqXo87PVzkwmqZYC6i6UWPV0f4Y5+era37Mtb6G5WbfVnKBbXefTkEpE7fIOx6DqTjTxSpxy8D1NQPJGAqDZEzzwoUcfghKabb1J6m6warCZqf3QesQDbh+AErj+hplQH+y8/qo5ULo1v7Ektu/fHy67c7ggaR9bdYa/tF74fRXLn+8950r2oX5tk4lzEXU8K1kH/5tHp34v656trYXmzYLIW4sEtKuoGuNNlfpWodFpSATj7G1//KPSKXmUwuCNV28JnNVHn91BkNBf9Jmz5YMQ+nYFV9DN7v+twtKO7IJXrgQrQEr13y0VlRcn2+7aYi5SkDCMjg9W2bXlhRaK/aNpFcdmDt9L/sTcVy/SsELcIOQmGnQnzDZvSXT4ZEinYJqu9s7/TzvG8k016attuzX9ufhPx+AWv7yneIDsP1NcPorlFzNY2d8jpwMePTU3zRLmGMZxffcYnF4f0sJ005eXpN2JcO3wk98k7H6a78aPbuRAgmPQtxIJKRdQbfaMKzWtQ6Ld2zv5+jZ3JLO9DeNrL7vWOOCF7cMFIqaHzbLhrapln0Nq5l9W83Fq1NQGkjF+fADIzzywiQVLyATszj8hlH2jfQxV67x8mSBWhDQF7fZN5JmKB09Rs0PeerM3Iqeu9P3cjBtcSEPWzIxUjGLiutTqgX0xdfvP9Plfp7XUvZrDTN3XHqUmx77dySrkwuawQah5tnTczz6hUd59KS/uhLm9/ynhbs7YcHC/241lO3JjRT0dngUQqw/CWlXsJrF/isJCWv9Lfhah8UHD4wyW3SXdKbPpmwS9uouXo0L3m1j/XzrfJ6kbZKwFS9P5tk7nFn2Nax0BnG1F6/lQu/BXYMc3DW44DFDrbFNg73DGW4ZzSx4D+bKLk+enmMgubLn7vS9TNgWbx7v50K+Rqnmk4lb3DySJl8vQ66HdW0cCwz85zv5wdp08+NGxDqfv9zd/4unAi61lDB/5q31szB3raCEeecH1xzErmbGqVeWOSzWq+FRCNEdEtJWYCUzDCsJCWv5Lbj1QmOb4HgBVS/o+i60sWySB26JZpTmKw6j/QkeuGWEFycLqz7toHHBM5TiTTsHODNboeAEaPQVZwBWOoN4bCJHEGpemy42W4aMZKI1WY3Pt16slwu9nd7zRp+0+YrHubk8B0b72TGY5OXJPErBbWP9K9r52SkoHZ8qEDfj7Bnpb963UWJeT+u2UP43byVZm0YBJVfzlfouzEdbdmGOZRTfvbiE2UZrRzeIdmQaH8u3ve9KXO2MU68sc1isV8OjEKI7JKStk5X8hrva34LbXWiKjt/2QtMaLBonD2pY85qV6PHy3Lqtn7t3D1Gu+RybyK/pxIHWC95QOs5QOk7R8UjGzHXr+n96psy5uQqpuEl/wsbxA16dKjJTdJgu1NperA+ODzSb1o72J3hPvWFsu/f84PgAxyby9CUsbtqaIGGbHJ8q4tTXj927Z7BZ+myMdbZU6zib0y4odSox37M7u6Lv2bprcwYmAMom/D+nefrViWjBf4cS5qH9Fm9YZhdmg7Pz2/jkbb+zoAdd0fE5lKte8ZiyK83ernXGqVeWOSzWq+FRCNEdEtLWyUp+w13tb8ErvdC0hjlDwVNncmgNb9k7dMWdh50ufOt54sDVXPBWWp7LVV0MA5J29COdtC0cL+DEdImbR/uWvI7Hjk/jBbpNCC20fd2PvDDJrdv6mx/vGkozmIqRjJnsHUlTdRfOdpVrPoqlgW+570WnEvNyh5+vq0W9yhYfMn4+H3LklM+jJyt84d9YzRLmm1ZawmzZPNC09508dvf/S58bLPtzvtqZsaudcVrvsvB66dXwKIToDglpy1jNb+7d6H6/0gtNa6B67WyJbDIGSnNursxdu4aa91lJG4pPPTPBcNrmm6fnGBtIsHe4rzm+dNyi6gWrPnFgtb3KFj/WSspzA0mbQtWn6gbNWagwBJRuW5596swc9+4ZWhIMnjozx53j2SUnLUwVHO7ePdT2e/GuA1v51DMTzJVyeEGIbRoMZeIMp+1VzeaMZZM8fM/ONe2cverdfm2ayZavUMI8tN/i3XtNRjPtS5itjWXDWD/mL55re7+5b5694s/5amfG1mPGqRf7p/VqeBRCdIeEtA5W+5t7N7rfr/RC0xrmijWP/vr9C47XfK52MwiLL3xeoDk9U2auZLGtP0nB8Zq7MBtjGUrH1nTxWk2vsrXsVNs3kiFhm8wWo4PF++I2OwYz9Bestu+hUrQNb5VawJOn5xhM282y6ZOn58jELS7MV5kpOQvWvI1lE9EXh41Iopof5yo+g2ljSeCrep3XmK32vV3Te9iuuz8Q6oVnYf7tucslzAd2m/yj+i7MN4wYoBQ5c5hsMLvkcTRQswZ4/s5fYn7/+zuWLxtW8nO+2pmx63nGqRfDoxCiOySktTGZq/KHT5xmruwy0hdv9vSC1S8GX2n3+3ZWeqFpvcj1xW0ulVxmSg5+qHnm3NzCMNFi8YXvzKUS2ZSFF2huG0nzrfN5lNKcni1im/1XdZFb7XmRjT9XOjt0cDzLdKG2pMN+o/P+4vfwju39bYNBOm7g+Bp0PWxphVLQF7c4emaebNpiIGGTr3qcna3y4Qf2cmwix/hQitu2Xw4/Rcfj6bNzvDZdWhL47t0zuKb3sJ1Vr71aFNAulzCjRrIrLWFq4POHv8h3/K+HGAwvB7UQxV/u/GXsN38/fQkbYwVjWsnP+WpnxmTGSQhxPehqSFNKfSfwHwET+P+01v960ecfBP4ncLp+06e11r/ezTFdSWNmYq7sMZKJL+jplU3Zq14Mvthqfgte6YWm9SLXn7T425Oz2KbitrG+BWFiscUXvqLjYxsGfXGLoXScN+0c4NRMmcl8lYM7B9d8kes029PpvMiT06WOi/2XO9pnNZ33gbbBYMdgiqF0jHOXqs0ZuXv3DPLcRJ6792SbZ2EOJGLsH8kwWXA6zvIUHR/LNJYEvvYnTK7N4ucePfsZ3v78b5GoTMKnFj2PmVzRLsyHlilhNkYfYPLggVH+W/FzzFVcvEBHPe9SMUxTcdMqdgCv5Od8LTNjMuMkhNjsuhbSlFIm8P8Ah4AJ4Cml1Ge01i8tuutXtdbf3a1xrFZjZqIR0JIxC/A5c6nEzWbfqheDXwutF7lzcxVu2ZomGbPQwEDCboaJg4u+bvGFzzIUecfj1rE+AIbScWzT4E27snxnfefjajTC7Fdfm8HzQxK2iYZmqTBXddvOjuSqLtsGEqvembeazvvQ/mDtYxM5jl8scHK2RK7ikk3FiNtRuErFLFD1oKE0qZjVDOrtXkcmYfHGHQNLAl+4TEZb7fqyoXSMd//FgQUL/Fv/3ihhRsculZslzIQF71xUwly8C7PTMANMvvDwi3xnhzV0xyZy674DUWbGhBA3om7OpL0FOKG1PgWglPrvwPuAxSGtq1Z70WvMTOwZTvGt81GZLG4ZzBRrbOtPYptcs2aSq1lv1AgirT3JGkKtO84Atl74bhntY7ZYwzYNQq2vOFux3HvbOvaK63NmtkLF9RlMRUdBnVAlUJrJvMOWdIwD2/qJWwZFx2cgaa+6F9uVxtNOu/D20oUcjzx3Ea00llLMV1zOzJS5b0+27Vq1e/cMdpzluWN7P3HL5K7dl8ubjdYjncYfbUCoNTcgvDZd4uG7xju+jsOfuhVFp12YS0uY//StMb5jhY1kNfDn3/UcT5y8xHAmxoFtfcQtM1pfNp7t+B5C+1nK5X6OVvJzLjNjQogbTTdD2g7gfMvHE8B9be53v1LqGPA68FGt9YuL76CU+jDwYYBdu3ateACd/vE/OD7QLFMtvphfXiAfbzZenan/5n7o9tGOB1SvdzPJtayLax3/koXydJ4BbJ0lawSdlZyusNyFtXWt1FzZo+D4JGwDN9DYgebMTImdQwm+/dZRjl8s8rcnZnnb/i3N0LjamZj12oTw5VdniFkKQxkEISTNKOS+Ml1i51C6bemy0ywPrC6sPHZ8mpdez+P6IUGoMQ3FxYLDY+kYH3rlJxe2rgAY2InB5UayR04FPHrS5+WWEubfucXi8L6okexoxljSVmOBRc1jDeBDwIMHtjbDbzJmXtVu3naki74QQrTXzZDW7lqwuILyDLBba11SSr0H+Cvg5iVfpPXHgY8D3HPPPSte0NP4x98LNN86P0/R8al5AUfPzvGuA1vbXsxbZ0WyqRg3jxpsG0g0P7/SBcxX0xZhJeviOuk0q2ObdOzIv9rZipUEyNa1Uo7rYymwlKLm+wRBSNw2CELNcCbB8E2JJc1tV7v+aLkTB1ZzoT8+VWRrf5yEffn763geJ6bLfOCu8Y6ly9WUVDuN55unLzFfdulL2Lzd+TLfN/s7ZMICnFh4v1Brnp0MefSrJ3i0ZRdmo4T5D5cpYXa0THf/bs9gSRd9IYRor5shbQLY2fLxONFsWZPWutDy90eUUr+rlBrWWi/d178Gc2UXQymem8iTjBn0J2xenq8wX/bxAt32CJ8rzQKsZAHzcrM6jedaLrxdaV3ccjNKY9kkOwbi/PnRCaaKDqN9Cf7ePeO8Ot2+I7/jBasKlI2S3HMTeWKmYq7s8nrO4W37hxcEyNYwG49ZDBsGpVqA0gY+mtFMDNO+XPZrvSi3+x7sG05zbCLHl49Ptx1jpxMHnGXaXbSTtE08H1oyOJ4PqZi5qtLlWtwy9Xl+a/7fNH+7WWkJ82feGuPQfot3XKGEqQGXOPGPTXe8z3pYz3NUr/Q8V90fTgghelg3Q9pTwM1Kqb3ABeD7gR9ovYNSahswpbXWSqm3EFVYLq3XAIbSMb556hLJmNHsRO/4IYNpizOXSgylo+aknY7wedeBrW3Xfl1pdqRT+abR5f5KF68rrYtbdkbp3DyffnaSkf44N23NkHc8Pv3sJDETUglrSUf+C7nKqi6ojx2f5vRMmVTMRBGV/KYKDi9cyPHmXYMo4PMvTHJqpsS5uQoHRvvZNZjg+MUSqbjJLVszXMhVyVc9bh1MNR93uYvyfLnGa9MlxrPJjmPsdOJArup2fK/auX/fEJ9/cRqlFKmYQcWNjmZ68JbhVZ+0sJqwfl/pi/zY/L+hsaey7Gq+cra+C7OlhLmtTQmzHc3SEwMcYrz6o8eXbCBZb6stX65l5+Z69tgTQohe1bWQprX2lVI/AfwvohYcv6+1flEp9WP1z/8e8DDw40opH6gC36+1Xrf+BAfHszzy/CTD6ThaaxwvxFSK4XS8ecGFK6/ZgqWzX8vtduxUvunU5X7xxetK6+KWuwg98sIk2bTFYCp6/safr04VGSPJVN7BC0NswyAVt1CsrAza8PyFPNmURV/C4vRsmbhlkopFC9xH+hMQahK2yU1b+5rnWw6lYmwbSJK0DQId7RoNQ9g7km67QWHxBfjrJ2fJV31G+xIdDzDvdOLAQNJe8hqW8/4372Su5HFipsSlikvaNnnL7kF+6G37mC44S876XO570akEe/pLf8Bbn/tFvqPlvkGjhHnS71jCPLTP4o6tKythqo/lee7c/JLxHty1fj3aOllt+XItOzdlHZsQ4kbQ1T5pWutHgEcW3fZ7LX//HeB3uvX8Y9kk9+8b4tWpUnMd0cHxAZ44eYmS63P2Uplt/Ql2bkkznLbbXlBXOvvVquPi/Q5d7hdfvK60Lm45UwWH7QML7zOQsHF9jeuF0aJAHR2+3vj41aniisuESkVf35ew2DucZrrokK+E2KZiOG3jeAvfwwOjfYxlE/zg/XsWBN2x/gSTBaftMVGL17v5oSabaj/72dDpxIHtazgZ4Ue/bd+SUA60PXB+a3+i4/fk9EyZf/yVu9suzlTARKHRGsPnyMnLJcyDo9EuzMMrKGFiJ5l/6Df5ZuahhWU/4OCuwbahrNtlwrWUL1e77k3WsQkhbgTX/YkDDx4YxQuithk1P+Qrr05T9QKG0zH8QHNursJAwmYmX+XUpTJaQ3/Cxgs082WPqufzzlu2ruo39uVaMqzk4nU1PaFG+xPkHa85gwaQdzz64ybphEU2GWvONOWqLtP5KsN9sRWXCe/Y3s/RszmUUmTiFpaRIhVzuWd3llzF77gu7DvbzDotLrt12jBhGQq0WjL72fq+dTpxoBGwVqNdYPj8C5Mrm7n57M/C0U8A8GP1mxoRaz1KmK2c1HacB/4P/jp8B31usKJfIq5FmfBaHMm0HmdzNsjaNiFEr7ruQ1pr4HnqzByOG3Dn+AAjfdE/wlU3IO94HJvIsSUTI5uM4QUhr+eqbEnHoiOWig6ff/Fis7np3buyZBKdy2jRLtGBJaWmrf2JFV+81nKG47GJHAp4ebLI7qGAsYEosOXKPm/YMcCe4fSS3YlfesUlDGG2WCNfrZF3fEyluGN7f9vnefDAKKdmK5yYKlL2fNK2xU2jfTx4YJQ/fOL0Va0L67RhwvUD8k5If8Lq2L9tuWDb6SK8mtuvOHPzsUEgXPB5vcoSZqf2GBqoEue/Dv8M+Zv+Lo4fUKkF7BpKsTeTps8NVvxLxLUoE3b6+V/P4LNeQVDWtgkhetl1H9JaVVwfP9TE7csvO2EbvDZdxTIUplL1420MXD9ktlRDAX/z3EWyaZstqRhlL+BvnrvId90x2vF5oot8VBrbO5zh+MUCn/jb09y/b6jZo209u6a3Xmju2j1E3DY4eiZH2Q3YO5zig3fvZLLgUHWDJbsT9w5nSNomT5/NEeiQ/oRNwjaYr/pMdjgQuz9usWc43TwKqL9ewl3turDFYej0TJn9WzNLNkwUqh57hlIM98U5OV0iV3UZSNrNMz4bY2wXbJfrlXdsIt/29sdPzC5pKDu8aObmlqd/lfFTf47SIXzu8vO1ljC/cCpgtrK6EmbI0qD2G7F/yrHBw9y+fYA+pRaE37myvaqyX2PHc7tD39drRqn153+lpeG1NCJejxMIZG2bEKKXbeqQtpJ/2Fsv0tv6k1wqubw2VeTAaD+ZhIXjhXhByHg2RcwyuJCrUHR9MjGLoZSN64fELEXMNEFFf8Ysn/PzlY7jau3P1mj/MZyO8+pUCS9gVb+lr+Q1Lr7QvHHHIHu2ZEjGzOYGh6319wEWzjy8544x/uypc+zakiSbjOF4IVUv4Kat6bYXqk6HiR+byK1qXVi78HR2rkLCNtk5lGLPlhRPn5tnplhjOB3jgftGmjOR2wYSzddwpVmPThfhR16Y5NZt/Utu/4unz1NxQwbTNgOxGO888W+4e/avMBbNkkEUppYrYb7n5iuXMBs04Kk4H975GS6VPEo1jyDUxC2DVMxi90ASyzCaG2Aa4Xe1ZT8FbU9OuGVret1mlJYLPo0/F6/3W8tzr0f/NlnbJoToZZs2pC2+yF+Yr/LY8VfZNZRi30imGWZaLxj7RtKcmi1xcqbEXLkWBTPbZDgTJ20bPHUuj6EgE7cwlGK+6pOOmdy6rY/ZskvFDUjGDG7d1kex5nccW+Mf/m+dn2+2/9BaR8ElYa34t/SVlGImc1Uef3UGQ0F/0m42ll18oelUgjq4a5C/PTlLoeo3g9WBbRmyqVjbC9VyF7V3HdjKa9Mlqp6P1pqq51N2zbbrwtpdyG8ZzXB8Kmqdd3q2zHAmxlAqxs2jGY5N5LHNwrKzHqspU04VHO7ePbTk9uNTRf784nuWPQvz2cnLPcu+1lLCfGC3yT94c9RI9kq7MBvry5o90cwkn3jHV5l/cYqhdIzxwSQVNyBX9dg3nOKN49m24Xe5sl+79wN0c/NHNJCojcr5+Qo3be2/6mbA0Pln5OR0ielCbcnPs22qDZvNWs+1bUIIsd42bUhrna362mszvHKxSNwysAyDsYFkM8wsvGAokrbJaF+cmaJLxQtIxS0euGmIPzt6gYGkhdZQcnxCrXnwwAjn56qEwP6RvuZzz1dqjPYnOo6t8Q9/0fHpr//j73ghfXG742/p7S6oV5qReOz4FF8/NUex6jHSn1hwMoFtqgUXmslclcdPzOL6IZm4heuHPH5ilq39CfaNZKi2rGuCaHas0fOsdUxXuqgVqh5nZsvN9WqW2X4Gqd2FfHwwheMFXCxU8UPNSCrqFTeUjlN0PJ46M8eDB7Yu+JrWHnftAq1tqrbjHe1PLLl98ORf8ecX/9mSszCvtoTZ0AhmlcQY7oO/zOBb//cFnz//6ecYzticnK1Qqfmk4hb7h1OEGizDaLsp4kpHUi1+P8o1n3v3DLZZmzhDqFe+y3c5nX5GclWXbQOJJT/Py31fu22la9tkc4EQYiOodWxLdk3cc889+ujRo/zpN882TxOYKlRRKECTd3y+7+6d2KZqdoNvBJBnzs1R80PQirhlcNfuQYqOxysXC0zMVQnqpaTodAKLoXQMreH8nEM2bTGQsJsL8T/8wF629ic6Ljw/8tIUp2dLKAUKg6oX8KadA9imQTJmNkPYXNlFoTkzW8ENwuY6qKFMHEsp9m/NLDks/eR0iVzF5W9PXqLi+thmdNbkwfEsqbiB1jCUiTOcttFEYe3MTIlXp8sMpm0SlonjB8yXPe7dM8iDB7Y2L+iNC9VErgqhZnwotSgYXF7L1Xr7odtHeez4NI+/NrPg7MmYZfDAzSMLzn9sjGeqWMMPo/Yme7Zkmt+zubJLyfF4+lyuuVnj5uEUxy4U2DaQWHAUVWvX/8mcw0zJWTATlLBVc3fv4tfxxt/fs2T91+IS5pFTPi/NXC5hHtpncXi/ybv3WWxbQQmz4ZK5lU8P/ijPZg/xwM0jfOi+3Uvu/4//+CjHLxZJJ8zm96jsBBzY1sfH3vuGVYWEz78w2TZ4v3KxsKDM27j9c89HDZBbdwVfmK9Qrvk8eOvWVQWT1sDc+p6Xah43be1b8vP8lVenuWmkb8n3biybWPDfSbfC0ZUCWKfXI5sLhBAroZR6Wmt9z1q+dtPOpLWeJhBoTco28QJNfyLqp/WmnYPNElzjN+VC1SNmmlzIlal6AU+fm2MgaVPzQm4b6ydX8Sgol/mKx2TewQ80b79pCx948xhPnp3n9XyV0f4EH7x7Z3N9VKdSZBRaFE+cvMRwJsad4/3YpkHR8dk3vHD9z18fm+CZc3nilkHCNhlK2fQVHLakYwtmHubKLi9P5nnm7Dy5qo+hYDBlUwtCcmWPM7MlbhrtY6ZYY7ZU45xtMpyJUfNCvvDKNPtHMgt2XuqU5vkLeT503+4FszEKuJir4Aaaqh8sOJtzsuB0XLDdevZkPGbiBSHzZXdJr7kL81WePD1PPGYw1p/E8QK+ceoSe0fSPHzXOP/z2Qk+98JUc7PGZLHGk6cvMZKO3ge/3h7lltE+TEPx1n1b+KtnL7Rt/7FrKMX737yDYxM50sc/zbed+G0SlUkUurmbMtSab12s78I86fO35wPc4HIJ80ffdOUSZrtfdT4x8ot8wXqAvoSNbRp4QUix7PLN05fahrRKzSMIQ8oOFLSHqQyCMKRS85Zdf7WaMu9A0m57csK+kTT5lk0fl0ou5+YqbOtPrHqNWqfZvWMTubYzbOPZJEfPzF/+RajqcXa2ygfePHZNdl5eaW2bbC4QQmyUTRvSWk8TSJom5VqARrNnS4qi4zdLcK0XjFDDTKnK6/MOQ30xtqRi5ByPibkKvu9zPl8jbhrR5VspwiA6y/FCvsYPv23vgn+QO/XNeuz4NIPpWPOC+Q/fsZfJgsNc2SUZM9k3nOaReglxpC/OYCrG8xMFPD/ANhS2qZgpuZTdgCAMmxfUmh/y5Ok5lIoubKaK+p9VvYB0zCIdNynUfPaPZDg9W2ZPXyraCOAHvDZdIgw1s8UaI31Rmbbk+Jyfq1CsefzZN88AjRYQmtmyhxvQ8XD3ly7k+PTTl88GtVV0obtUctFEYbJUi85H1WHI+bkKt2/v52KhStHxmS7WGEjZZOIWCdukWPMYSFoMp23GsknOz1eamzUcL2Qq72AaCssyyaZivHKxgGkoLpVqfORdNzGWTZKrujheQL5aL2PbJveXv8R7j3+Cga9cZPH5EMuVMH/6vhiH9kUlzKR95XVlGoNvDr2Xr978i83ds0XH4y8fP8lIwiBmRTN9McskZgVcKnVoSaJU/QSIaOYu0GE007fM2rbVlnkb6zXbBajXc9Xmurf5qsvOoSTbB1LkKh5nLpWYKda4kKss+W9hpTqVFrMpm7v3RGvuijWPgUSM/SMZnjw733Zzx7UOR7K5QAixUTZtSGs9TSAZNym5AdsHElimQmsWrCtp/KZ8cDzLRz91jL6URToWrWcLQ0jaBqcuVRntjzMxX6XqRWWiN2zvxw3Ctov92/3DXfNDnjh5iW+/dWvzgnlsIt/8zb9ds9bHX5ul6oXELZMQsM3oTMya51N1rQU93gaSFreN9fP0mXlqfkDMilqFeEFIxQuwDJPjUwWySZtsMoaqt2sAn0zcZKpQQ6k8pZrPXMUlaUeh8ejZHFrDW/YOcfxikXzVJxO3ODFV5LWZMkXH44kTM7z71q3ELYP/9o1zDKQstvcnyNd8fusLJ4Ao0J6eLROEmqrrYxgGSoGp4PHjs9y0LcNwOs6pmTKVmo9SinfW1yKFWjcvemU3YOdQkjOzFSYLDo4XMpK2qLoh+arH1v4ECcugPxlrtnYwgH/3yoNty5fRY2oeb+zCbClhjqYV33XT2kqYGvjhnf+L3VvS9MUtijWv+bl03CJmquikBz86kcELNK6v2TYQX/K4jfdvuD8OqPquYgPQJO3Oh7h3muVxPL/jWaOdZo5amwEfeekilmGQTdl863yOZMxgJBNnpuQumM1qncVT9XdlvuI1z23dMZhcMAPWbobty8enGR9MsWso3RxLqDXPTeTabu641uFINhcIITbKpg1psPg0gYDjF4vMFF3eMNaHbcKXj08vOtYnx1zJIW6Z6BCyaZukrUgPpXjxQpGaF2KaBsMxk2QsKp9O5WvN0mnDZK7K2Utlnjgxixdq0jGTbQMJZos1hjMx+hI2c2V3yexD4yzHguNxIVchm7Sp1nwUGj+EWL3FgtaakhOQjgf8j2cnyFc9Zksu+0dSgCIZN6h4HinLBh3t1nN9TTZjsGsoRaHq19fWRRf3hGVi12cI3SCkUI3CRBhoDKXIJmOgNOfmys0jmE5Pl3h2okDCNuiLm5RqPn/zwhSDSZNsJt5yNmj0HH9+dIJ03CQIQ1w/elytoeZ7KAxyVZcXLuQZ6YtT8QIMoOy2P0EgE7d4+sw8FS9q2hpqzUzZIxO3iFsGthk93v6RPm6b/Txb/+Mv8ws6ek2NUNaNEmaIwV8Zh/m14EcYH0yTjhvszMToS1jkq9EMUOvruWPHAHNlD9fXlP0AyzAYTNnct3eIdvaNpDk3X6Hk+PhhFLozCYt9e9Jt7w+d+55pFIdu37riPmLtSpSj/QlmS7XmDuWqGzCSiTd/aYHLmxMMpZozvUnbwDQUr02XSMet5vf12ESu7ckTnUJQu80dGxGOrsUJCkII0c6mDmmtF5aqF3Dfvi2M9Sc4NpEnYV9e5Pupo+fBUIxnk4z0JbkwX2EqX6OvEr38wVSMeMxgIB2jFoTU/JCKG+L6ISXX58J8lYuFKn/6zbPNcmDSNpnMO8Rtg0ot2g16YrrMd985xlzZ5YmTsxQdDz8ImZiv8qlnJqjWfOYrHtmkRaXmU64FlGo+pqHqs14GNS/EDQMCYLQvzvm5KoYBlZrPxXyNfDVgNB2nXPVxgwDTMEjHbPriFu+4eZh9Ixlez1U5MV0Goma9uaqLE2jefftWPB+ePjfHYCrGQNLiYr5GJm4zXXSYqy/SH0javDZTZihtoTCo+QGZpE3aNqOD1B2fCaPKQMpiaybJQNzi9YLDnliabf0Jpoo10FD1QlK2jRsEFB2PQtVjJBMjZsLr8w7ZZPsTBJTWvJ53SMYM4pai4gaUHI1tKH7r9PvIEL02LkR/NCJWo4R55JTPkUUlzJ96y+VdmJ1KmJdDmWLOGuG3+QE+Z3wbt2/rY7pUIxUzuThfJaZCtA4ZSicY7U8wkklwdrbK/pHMgtfzwXt28firM8xV3Gbj36FUjAcPtG+EnE3aVB2fihvgByGWCWb99k469T27d89gxxmzTgvlW+/fmPWdKdYYycSpugFVL+DAtkxzNqt1Fu+1c9EY0IoT00X2bEkzka/wN89XeMP2/mbD3HY6haD33DHGsYn8ktsbPyfXasflejXOFUKI1drUIQ2WLvptt1bs/HyVmVKN0zMlZgpVLpVcEjEDpxbg+AGFqs/2vhizxRqWAicEn5DpgoNhwNEz89y9J8twJs7XT87Wy4Em27NR4MtVPQo1nz1DKaYKDq/nqpybq+AHIa4fYJsmL72ejw5Z13Buvkq+6mIZBumYSdw22TWYxFAGThAwWwq4eWuawXS8foaoS9XzeWXK5dbRPmIxkz3DKU7OlAGNbSvu2TXIm3YNcnA8y2vTJQqVGs/OlnH8kOF0jAOjGd6wPdvcWVfzQxK2wdnZCs+cm2e+4hKEIbmKS6ih4HhsSdnUwmjWayhlk6+4+EE0G0egKcxFM3zDmThj/QkyCYstmRgTeYdi1SNmGgwkbMIapOMmYaiYLXrs3JKMTiHQqu1F78x8lZE+m5mih+P5/E/z5zkQuwD1ibf1KmEuninTwI/v/yLjg0mStsXsTInMxSK1IKQvZnIhV0MZigduHiYEzl2KgtlYNsGHH9jb9iSJ5XYAL779+FQRrWD7QKJZyi44Hsenisv8F9C+71n7rQwrPwapEUwu5CrMlFxGMnEObMs026EM1dddNkr+C9vNBLw6XSQdN1FcXk95756lh703nqtTD7/G+9fuqK9reZzTejTOFUKI1dr0IW2xxWvF5soup2dL2KZBxTVQhkEmEa37qvohQ+kYpgI3hKG0Tc3TuH6NdCKGZSrKjs+7bxttrpdplANffL1A3DLZkok3DzU3DMXEfJVL5Rrz5SjQ+KFmIAkX8w4zRYeSE5CImQwkbapeyHzF4+B4H4PpGM+cy1HzQ0wFQ2MxZss1So5PwjYZ7YtmqGaKNbwwIFfxSdhRqc71Al65WOK9B3cAUCi7zJZdBlPRYeox06RQC7gwX426+dePXXJ8H8f1OTtXBTQp26DoBFRr0QxgyY3W4yUsg+miS831ycQVxVpAfXsFNS+gXAv4oft2cnq2whdfL6Lq+cAPQ6aLLn0JkwBFKqYo1zwm5sFQsGdLmncd2Lrw4vfcJ/mdiZ+lX9eDSX0SaaW7MA/tt3jjFRrJQnT80gtv+U2m97y3/nNS49lzOSzHpVILcLyAvqTNOw9s4fjFMlU/ZOdQgm39CdIJm764zZ3jWbZnk81THRYfGA+rO6rq1GyZkb448xWPS1WXpGUy0heP2qF0oFFt+56FHTrrNEru7ZrWNj7fGhx/+G17F7SfKDpeczardbdmX8LC8YOovY1t4AUaz4eUba4oOC53jFS79+8Pnzjd3HzTuvtYdlwKIa4n111IW7y+5cylEsmYScyI+k4pBVsycdCwfTDJvuEMr+cqnJotozUMZ+Ic3DmAbZpUXJ9LZYfxwVTz8fviNo4XUHR8VCLaQVd2PVK2RS0R4rg+5y5VqPkBA8kYW9IxLNOg4HhcKnts7YthGSZeGJKOWZhK8cpUibsScbZnk9im4mLB4cRMmYrrM9yXoN8ycf2Q0b4EgxmbExeLGEDctjCIAsdUvsof/O0p0gmb0zMlTENhWwYaKNU8KqWAS2WXd986yo7BJDdtTfPqVInZiotdPxQ9VOB50eyiZYBhQM0NogPOq9G5p3u3JJkre1TcAC+IwtZgwsLXismCQxhqglCD1gTRJlm0BlNrJvPRDsy04zOctolbJqP/YduSS/dAy98vFC53928tYd65whJmW8rm0e99nuMXC7z09PlmL7ad2QT9yWhXbON80H0jGf7Rt93El49PYyjFublytCBfaVIxi7nyyg6Pb9VpsX+5viNWAbZhRDtySy6jfcs3Tm53JmtjPeJip2fKbVuVzBSdtqcBdFrs3whCjTLlrqF0c03alnQM2zCYLNRIxk3ilnHF4LjSFhftNt8s3n0shBDXi+supI31J/izp84RhJrhTIzzc1WyyRiGgpIDJgrf19TCkK19CRwvJJuK8dZ90fqiRhuAuGWwYzBDf8HiwnyV07MlzlyqUPN9PF9T8wKO56rU/IBQQ9IymMhVuWOsP+pFVYvCiVKN1haKIAixLRPfjzYHBKEm0CE1L8TzAzJxi5hlEoYwU6xF5a6KS9w0CXXIlmySMISLBYdtA0n8UFMLAkzAC0Jemizyhh0DTOYdbNNgSyZeDxGabCpGNmFzvN5Ffu9Imu+6Y4ynzlyiP2FhmRa5iks8EQVIP9CkTINaqHE9TcwyiOmQWgCjA0ls08QPNKEOGc7EeP5CnlOzZdIxA03UxLbmhyiinaduqNEo/sb+BfaHE1AEXoy+Z63xaj12YbZmgUJsGwPf/X/BnR9ccB/7xUkeee4iWmkspZivuJyZKfML33ELt++43EC1Ybm1X9B5fdRqepjZBkwXPSyDemtm8EO4dVum42td7aL2XNXFqIdyoHlY+4npEjeP9rUNSu0W+8PSNaHRe6F5/kKBuGXwPXuHGEo3yqGdg+NqWlw0Al0joCVj0e7lM5dK3Gz2yY7LVZBTFITofZs+pC1sARAt6r9ltI/pQo3ZkhutcemLY9kGrg7wwrA+KxXDVIpcNfoHquy4fOK5SYqOR8xU7N6S5p7dQ7xlzyC//8RZLhaqWApMw6Ds+lwq1vDCKLzYCmqBxg89Kl7Alr4YYRiVOnMVl6F0nL54NFPguAGWoaLTDVyPouMRt6Pdk40LWn/SxgsDjKrCD0NyjouhNfNVi9u29YFSzBRrhFoTEp2oEO3yNKLzRe1ot91UoUZ/wsYLAipuwJbROKYBE7kKe0ei8u2WdIy5kkfF9TAaaUkrDKUZzaaoBSEDSQvPC5gp1bhYqFGu+cRNA8uKmuUOp+NUagGz9WBpGAaWqcjETGqhIu+4vGp8/+VzKlu+f6HWPHvxcs+yr527XML8tl0mP1LfhdmphNlucuYZ8yC/seVfYRkQt03+5M63LrnPl1+dIWZFJzUEISTNaCyffW6SC/mlM0rlWtSTrjDr4oUhtmFgWyagO5YvW09nWNzD7MJ8dUmH/ZgVzQj6AQRaYypF0u5UJIysdlH7QNJmMu8wlXearyMVt0Bp0vGF/xyspN1Fu3Lkg/X3wzaNthtDFltNi4tGoGuU7AHilsFMsca2/qTsuFyha72mTwixNpsupBWqXn2XJeQqNV6+WGJLOsaBbf08czbHufky2weSbBtIcMtohmLVY7bscvvYANlUjJRl4WtNJm5SCwJuGknz8mSBJ89cIlfxMJWiGipOzVRAg6Wg4vrELRMDhWlEJb6QaBZiMB3N0l2qeBCGzJZq3L9vGN8r4IchxZqH1tHM3UjaIlfTxG0DFYSYpsIyDVK2wVzFxbbMeqjS9MVijKQNzsxX6I9bGCra4fn8hQJpSzFV9kjHLCxDRTNffshAyiYdM7CtKMQVHY8gCDAtg4Rpcma2xFzFpeT4vJ5zePbsPHfvGuTIy9PMV2r1nmYGlgGWaTJXqWGg2JKKUfB90JC2DSq1gDnfRWvIFR2mCw59cYsw1FTcgPeaj/ML3h+QpRR901rWlcH6lDAbwaVEms9+19f5H89OYJnR7thaEBCH+sftdxQenyqytT9Owr4cDBzP4/nXCzxwYOuSGaVnzs1hGwoXQEezo7ahyFX8JeU6L9Ccni3xhZcvsq0/QcI20dAMY+WaxwsXiks67APs3pLGD2n2SbMMqLrhsv9NrGZR+2AqhuuF0ftXfx2uF80qtwuOY9nOpdblxrOa4Lia2cBGoBtKx3nTzgHOzFaYqT+HBIyVk1MUhNgcNl1IC7Vu9mQ6PVvCVHD8YpFHX7pI1Q3oT1jUvJCYZfL8hQLbBxKk4kazs/1YNgpvH7pvDwB/9s2zvDxZpOZpMnEb01B4oSZuRrNSX3p1hsFUjLGBZHMm5+R0QBhCPG5gKIXjB+gwjBbb1wJ21nd5np4tRQv/LZMdQ0nipslUocLp2SqOH5COmbxxrI+yH4JSXCxUUWi8QJNN2ThBQEzB2Utlql5I0jbYkU2ijSgglGs+gQ7xQ41hKNIxk0w8mq0r16JeaTMll2zSJpkyOD1bqc/QwFQhmk25Z9cAWzMxqq5PzQ8JQ41hKhJWVM5M2Sa2pRiIWyRsA9syKM1V6+UyTdkPKeWq/EXq3/JG71tQr0IuKGF6UQnzyKmAR0/6vLiohHloX1TCHOtbWQkT4OX4Xfybrf+aXNXjOysuO7JJnj47T3/CjkqtXsBM0eHulrVarbOupaqPodSCkOb50TO1m1G6VN/FGrcMAh0Qt6JeYLmqy1zZbpbr5sou3zqfI2ErClUP1w9RSnHzaB81P+TVqSJVz2/bYX+6WMVQBlvSdrP5bdHx2JJZzxKeJp2wyCajTSWOF5KruvTFrbZHM334gb1rKoutJjiuJtS1BrpsKsbNowbbBhIS0FapU3+9Tm1ShBAbY9OFNMcP+dwLkwRByFTBwQ9CbMtgruRGYUVFs0Cv56pUaz6zxRoHtvU3F1Y3OtsfOzfPIy9M8r9euMhcxSUMQ2KWjaEUlhHNZPihxg0CxgaSeIEmZkXRI2aaWBZoNDU/oNzoNK8UaVvx4ut5Co5HsRbt5LTMKMwlYgZuAJapGIrFogX/ZY8DoxnQ8NTZeXIll/6Uzc3DKZ46N8/FQtTHbHQgjtbwes6hFoRsycQoOT5uEHX1D0ONaZjMFBwmCw6gyCYsaiGU3Ghzg2VE68Uavd201nz99Dx/584xQq05Pl0iHTMZSttcyDkEGoa22mzNJHitWsRUiksll1Qs2gV6OHicf23/F+J44NWDmVq0C7OlhBk3o12YP3yFEia0b4/xbfG/5O03baFYC6i6IamYwWh/jPPzVW4ZzfDKxSKhVtT8EK0V6bjFLaPReq7F5Z19wymePp9nruximwqlQSuDO7b3ty29JW2Tc3MVMnGLVCw6hmyqUGNbf5yhdIyXJ/O8NFnk+MUiYRiF7LzjMWZbZOIWs0WHfSN9OF50LFS7Dvs7BpNRn7wVNr9di067QZ+byLcNji9NFtqWbK/1+Zmt95OeZVfvSmsshRC9YdOFNK2j3W8Fx6PkeARakUZhGirq1O8GxO2AmKmY9wPmKtEF85n6b4w1LyBf8fjTJ8+Rtg0cP1q0X/PBUAEJ26Tmh/V1XAYj6RjTBYeZYg3ThP6EjVIwmIxTdX1KNY/oxMsQy4D+ZIxnzs7ja81IJsb4YAo/1BQdn5l8dIZnxQuIGQaGEZVvT0wVsS2T27f3c8f2AV7PV3n6fIGZoovS0ZmbF/NOvfu/RaXmsXMwyfZsujnjMpWvkIkbvDxVJFqerfFRmPW4U3BC4nZIEECppjCVIm5F506eni1TdoPosHYvZGLewbYMxvvilJyAvz05y09Ufo/3Bp9rttfAiP7XyFitJcwvnAqYuYoS5iTD/Lvg7/HZ8O3o+inoMdMg4Ydk4jG29l/+sa3UfGpBwEAqzvvetJ1nz+XJVV2yyRhv3jVAf/Jya4bW8s7BXUO8MlWkUvNJxSwsUzGYMPmeO7fz5Jl5Xp0uUa55pOM2t2zNMNIXIxWPfjaqbkgqbjKYtqOjvBQ8+uJ0NDPl+qDgQs6nP2FGPzeGwjKjtYNhCFsy7ddg3bd3iBcm8hy7UKDkeGQSNgd39HdsfrsWnXaDKkXb4PjY8Wnu3TPUU2Ux6Vm2HlbXX08IsTE2XUjzAs1MqUau4hJoDRp8rVH1oBaEmqLjMpmPZtkU8LkXJhlM2aTiFufnqsyWHGKGYqYQUvX8aF2XoSnWAmp+gCLaIGCZCl9rclUPxw9wqgFzZY+tmTjvvGWY07Nlnj2fJ9ABSctkMGUzlInj+CGOGzBf8ah4pajcGDO5WKwRNxUWMO94Uc5RmjOXPGKWgReGmIYCrRhIWZycjg46b66/qgVU3YB0TDE2kKRcC5ozLnuGM9w61sfZp84Rsw1SsWhWMNSaiusROAGOB7YZzRRGx1NpbDPkQq6KF2qyqThzpRq+qRlI2vyPue9ZULZUzf+7vAuzXQnzO26yOLyGEmbOHOZfHvgUj754kbIfYlkGhoYQXV+XFfLs+Xm2pGPsyKawTIO843HP7iyD6Rg1L2T/1jQX8yZlN+CFCwV2DEY7LBfvIMxVXfYMpzl+sYQfhqQSMW7f3s9r0yVemyoR6JCkbRGEIa9NldgxmCBpW2xJW80yYcX1GUjaPHl2nptH05y7VMEyFaZh0Bc38ELNcMamUI2avzZ2DNe8gG+evtTcgby1L4lpKHYMxJnM1xhK22xJx3C8gG9N5PmjJ043GxVfbTjptP6r0wyiUqxpQ4HobavtryeE2BibLqSFYTRDdalYw/c1yZjCINoF6YcaE7AMA8NQlKsB49kEGgPHD5jMldkxFOfspTJ5PyQWizYDeGgyMYOcE+IFYJuwezjFraN9nJotU3YC+pM2A8no2KiC4/O3J2ZBGfXu9CYzpRqzZQ9/qoTrBwShxjYNLpVcXC/AMhWOF1D1ot1ogRcQhOAEIZ6GGCGWafB6zsH1AnYNp/CCaINCK19D1dOUay4XCy4V16c/FWPvcJZ9IxksFR2jNFf2CMOo11nCjoJSoyGs70ebHxRQC2Aq71D1Ar4WvJ944xkLNL8GulPC/CV+gvKB72WmWMM2FaN9cXJVn1BH70XMiH679wPwVRTIdw6myFVdXprMs3c4w56hFA8eGGW64PAnX4924eYqLjEzahh809ZMc0flgv55M2VOTlfoT9rsGUpR9gKePZcn0CFv2DHQPJsUYL5SY6pQ4/bt/bx8sdjsq3bbtj72jWT4/AuTbB9Ikqt6DCRtposupgFe1UUpA8vUfNcbx4jX27QQ6gU7kOcrPh+6dyePvDDJ2GCCwVSckuNzaraEaSpOz1Q4sK2/Y5lxNWvGOpULAT71zARzpRxeEGKbBkOZeMfwtt6tLqQdxLW12v56QoiNselCmmEowGDPcBrHCwg0bElaVD2PmAFoAz/QnJ0tMZ5NUPY0d+/uRynFM+fmmMw50W7LIAQPghC8UBMYmqRlkIwZpGMWGsV82WOmWIt6hJlRM1zfD7FMxXTRZTAdY77sUwuith4GMBdGMwyOF5Kwo5BRqIZU66HMVOCY0S7RIIxCmAVYlslcycMyFTUv4PRMmU5LeN0Qnj6bxzQVQymbquvz1dcucf++LcQtRbEWNsNVEIJXi4KXqaDeZxY/yjz8uvX7/KDzhWaCas1XjRLmkVM+R04uLWEe2m/xbSspYdZLlkfVnfzz9K8TanA8H6UUHxrJsCUda55t6fiamG2D51NxQ4L6OE3AMAwGUhbZVIyqFzCYtnn4np2MZZP8z2cnmMpXma9E4dQlJF/xOD9XYfeWNI4XzRhBNBN0bq6CUrCtPxGdQhE38IKQkzNV3jiuODVTpOIFpOzoVImqF/DaVJnhTIz9w2nyjsdrU2XedWAro/0JJvMO+Wp0goOpFI4XkorZ7BxMELdNQq1JxkyG0zYJOyq7NkqLRcdjsuAwVXDoS9icmilydq6CqRRb0jFyjtuxzLiurRSa0yiq+fHtYwPLnp+5HqQdxLUnh8YLsTlsupBmmwZv2N6P44VkEhanZ0pUvACtwVBR/7GkZeIGAbNlj0vVgK39MXYNZbBNg3PzVbx6YKr5YX3RfXQspEGIbVls7U9Qdn1eulik6nmYhkHF88lXPTw/rJdYwck7Ueipjy0AtBcdjA1Q8aLPKILosGwD0OD40YxfGH2IQbRRQWufATNaczZf8ZZ9H0ICKo6m5HjELJOYpfijb5xluhg1YG1XtQg0/FHsN3i7enHB7Y0yZsXTPH42aB67tJYS5uLn1sCDyb+k4HiUnZCgWsFUkI4b3Ly1j/GhFLdtv3zGwLm5Ml8/OUPJ1VgGxBTUwui9TcVMYpZJ1Q25e/cgodbNi/iXXp1GN+5jRictVF2f517P8x13jFH1Ag7dvrU5g2SaiuFMDNMw0DraUWsqhang5ckCg6kYKdvCC0JeniyQipltF9ZPFhzesnuQ3/rCCeL1sOoEITU34PAbhsmm4wyn7eZ7kqv47N+6sK1Fo3yYiVvN51ZEgfncfJXxweSC+7VabSuFToHINtWS70UjPK7nQv12M2bSDuLakw0YQmwOmy6kuX7I0bNzZFMx9gylooOwSzVm4xbTBYeY2TgOSdcbu8LXT1zi9eFq/SijkJhtogioBVE50KgHtYG0jaGjBd41L6DquZQcjaFCClWfsH7MUWPCIWiXhOqTEAHNbhRAVLIDsOtBrXWWzFBRS40g1EwXowPO4yZU/M7vg+NGxy6FGgIdUHHh6bPzlBf11Ppc7Oe5VV1YOMTmRInm2BVKmIf2Wbxx1GgezN6OXjQB82o4zvcZ/47hTJyUbWJUXfJO2AwqoYacE2K2aaA6PpjCNhRxMwp4Qdjco4BG1Vt/+By/WOC+lt/6L5Vc4pYColkr01DYpqJY9ZrludYF52cvlZkqONT8MPo5iRlsicdw3ARuoHF9jWVEf3qBJm4ZbRfWNy5w7759hFcmS9HPILArm6TmhxBqErbVnK04O1chYZvsHLp81FhjfDuyCZ45l6daq5B3PHQIylBsSdsL7tdqNd36oXOoe+rMHA8e2Nr2cdZroX6ngFiu+ezfuvBUBVn31n2yAUOI3rfpQpqhYDBpM1eu8erFIg/dOsLOwRTHzs+RdzyCQEclSRTlMLpYJ22DyZyDUop0zMDzNRiKGJogjDY4aQ2m0szXm98qolk7S2ncljCm2wWzFr5mwVRSa34JiWaF2n2NH0YPHrcNXC/aZVrxO/csamSxZllTRzODAKdiP7CgbNn699eLl7v7t5Yw37jV4CfruzCXK2G2e/1aw63+n5KwTRwvwLYU/TEDzw8pBCHThVpz5rD1fXnxYql56Ptc2eXMpVL9AHm4dayPvBNwqVTDNoxo/2wYHaelQ7hUdjk4nm0+XuPkhJilKDkBfqjwfE0qYTGRqzKctvnTb55tzt68544xPv74aYbSMQa2RO0ycmWfu/cMkU3ZPHsuz1wl2iX6XftHOT9f7bg2a67s8obtWd64I1rfM1d2OT1b5Olz89imwehAEkMp+hI2t4xmOD5VIJuyl5SZnjufw1Qhlyoenq9RBowkbdBqwcHmrYbSsVU1oe0U6pSi/cYBol6Cz1/IoxTcsT3abbqWi3ungHghV7km696EEGKz2XQhzQ81hZpPMmYRhg6PHZ/h4M4BSm5I2jaYrtYIdNSLbCBhUvM1jb4R+4cSnJgJcHWA6+nmbFZcReXO6VI0ddU4N9ENQxImdFwc1kmbkHalTVNBGOKFENNBPXCtbJuVBr5i/RO2q9yC2xvBrFMJc+tqS5j14byid/Bd7v+95PP9MUUqbuEGAehobZmloiOwamEUri2lLs80htGOzWfPz/PyZJ7Ts2UStslgOsZQymay3qfNCzTokKRtkoibFBwPy1Dcv29oQVB414ER/vyp88wVAmqeB8ogbhkcHMksmc1qrHf68AN7eeSFSV7PVxntT/DBu3cyWXCougHfd09/87GLTrQhoHVNW2u4OjaRa4aMRjNbpTQJKwo/jQPAh9JRSxbHC0jGzCUL949N5OlLxtg5lMELQvJVF4ViplwjGTPblqPG+hP89bcmm01oJ3MO3zg1x1vq/a4WL8DvdATTHdv7mchVF2wciJkGIdEsZTZlgVYcPZtjtug21wKuRqeAuNx7K4QQN7JNF9IStsEtW/s5NVtiIBmj4Pi8+HqBi3knWtgfRgENHbXUsE2DlG3i+JqXp0ooHR2z05q7Fs9utcYjZw0NuBtl0OUP81mo0Wqj8Xxe2PmrX4j9fdJq4Zq1xSXMRs+yry4qYf79g/VdmCstYdb9t/DdfMz7UTpVYIuuBuXh+mAaITFLEQCep6OypY7GVt9D0Pzz1akCoQY/0KRjFsmYyXg2zqlLFSxDkbKjkx8qXsDhXcPctWuQouMv6R12y9a++oHvUVNfw1CkbJP9I2kyCZvXposLZpqOTeSwFZyeKTNVdOpnjzodF1Qfuj16vk5reBo7I0/OlNAatqTj7B5KoTBIxjRnLpUYSg9RrvnsG8nwnXeMLRj/51+YJJu0KThefROFQdK2CLXm/n1bmmu3vnx8euEB7gWnuVbuYsFhtuSyaygJKKpusGQBfqfXd3B8gMdfnWn8NAHwet4haRsMpu3mgexKKeYq7prWi3UKiPtGMs3XJ+ujhBDisk0X0pRSTBerxK1opqTgeMxVorMr/SBau2Si8IKonYZSAVUv6ndVcQNcX68qPK3FWloNLfc1f2z/Bt9mLFrsv44lzOYYWgbxS+on+BzvwA00SikMA7ZlLSZybsfxKxWdBemFkK8G2BZkbGvBfRb/6dW/H7uHktimSdHxOT9XZThtUXJDfA2puE3chNNzTscZpS+/OkPcipoTu1pjGYq4ZfDEqUvcNjZAKm42O6u/OlXk+QvzHL9YZiBlsb0/Qb7m81tfOMHPvvumZRdUdwoOharHmdly81SCZCxqTvzS64WoVFnzqLoBQ5k4D981vuTr58ouO4dSzJddCjWvvk7OxFTReZuddj/OlS+fXvDMuaiDfMKKZhzbLcDvtGD82ESOTMKm6gf4jk8yZhKGmsm8w0jf5dJpwjbIVwPmyu1/Dpaz3I5CWR8lhBBLbbqQFoSasuvjBzCRq1JyPFS9nYUCYraBbRi4QRTFPB+CMKBUC3D8xm7L7vbVNlWHTQWrsNy6svUuYTZ4Gm5z/5QQGEhYjA3EuVio1U9zgK2ZRMeQBlCpBQtmyvwACuEyux+Abf1xSrWQ+bLH+FCMNJpcxWXHYJJUXJOKm8RNk0zCJFfxlsxANTxzdp581SeVsBgwosbA+arPfNXjDTsGmjNBSdvC8QKePjPPcF+Cmhdy3qkSN00StsGfH53g428YW1VgeOz4NJdKLvu2ZojbJlU3oOhEmxs0Gi8MiTfCaoduoUP15rUX8w6eH6IJKddCBtMxQHfc/dg6O1V0/CiIeiF98eg+7RbgtwtEf/XsBc7NVRaE2Xw1CouOHzTfP8cLsU21pvVisqNQCCFWZ9OFtJoX8OKFAo4X4HrRTItFfRegitaRBWF0YoCpQmoBzJZ8jJaQ0+2m2msJaItDGXTYhbmohPltV1HC1Br2uX+KyeX3xFBRT7JSzccN4+waSrE9m2Sq6DBXXr4tSON1N2fKdMdM0pSM2cSskPO5atSGJIx64U3la6TjZnQeKz7TBc3ekXTbx5jMVZnMOwRhiOUZGLYiZho4CoqOz6sXiwwkneYpBWEIZTcg5frErSgEBmF0DmvFXX19+/kLebIpi6RtMdqf4PRsGdtUvDRZ4NZt/WgNI33RqROZhN22VHhwPMtr0yUcLyDUOpph1JrRTHzZth3vOrC1OTuViZvkqi5aKw5si3ZLrnQBfq7q4ngB+arb7A+XjpvUvID5sodOadCKvOOxZyi1YNPGasiMmRBCrNymC2mWYdCXtCi7QXPXZRC1LosCQQAhUTNXT9PsN7XCdfjXzHKhDLqzC3NeJ7nL/cSS21tjSWuo8oKAuXLAxaJDMmYRv0Iz8sUjMVX0muqTms1munA5yJVdn5hpMt6fIAw1cxWPrRmbyUKNck1HnftDcH3Ntv4Yn39hcsFi+EZbh7hlUHJDijWPguNimQZBoEnYBnu3pLlUcXnpYoHbtvVz82iGJ06YeKEmbUazjZapKLk+aXv52ce2r7vlDMS+hM3e4TTnL1Wi81qLNXYMJhjOJJqlVsdbGgTHskmG0zb9SZupQoBlGeweSrJ9MMXFQuedpa2zU/2JGPMVn1tG02RTsY47QtsxYMkB8qWaz23bMrxhR7a5u/Oe3dk17+4UQgixOpsupNmWAShsU1OtT+w0LnmNBeoAdpvbNtriBf/tSpiNYPbC9MIS5qF6CXP7CkuYjVmyq5GvuJiGSajBIKCwTEsQiGbhWt/rQBOdAtEyttZvRUzBQMImV3UZyybIJmO8aecAz7+ewwuiwFatRT1N0raBMs0li+EbbR12D6d46UIepRRBqKj5ATFDsXc4g2WZ7NmSQROidRT079qV5ejZHEXlkYqZVNyAmhvw1j2DrNYd2/s5ejaHUoqEbWAZBoOZGHuDFLuGU80jphql1lzVbdvUNVfxMQ3FTaMZEpbZDHXZpNXc/VjzQ45fLHCp7HL/viEmc9UFs1ONx11tOTEEdg4llxwgn07YfOi+3Xxo1e+KEEKIq7XpQprWmvmSi6EMFEHb0qWlolm0jXY1JcwfunNtJcxOLTLWouqG2FbUaNcLoOYtv+XCNKPeZK1aq4et69UgWoe1fzjFcxc8Ts2UGe0LeMf+LXz1xAyWZbJ/JEHB8fGDkJofkCsvPR6p0dZhRzbJhXmn+fiFqktf0mbfSIY37RzgzGyFghOg0Ry6fZSt/XFilsE3zswzW3LIJGzetn+Id9yysKHrSjx4YJTZostcxY02TJiKPUMpRjIx8lWfqhs0D2UP6815220EuJCrYBgsWT8XAoduH+Wx49M8cfISw5kYb9u/hbhlLtm9udZy4kDSplD12x4gL4QQYmNsupCWr3rEHX/ZdWUbVdpcTQnzC6cCpssLS5iH9ll8226T1HJnYS56bYGGm65yxqwTNwTXjUrHpgowrrS+zDLw/WBB+dSqz64pQBnRLJahQBOyeyjJK9NlUIps0qbqBfzpUxMUHY9LxRpnZioERF+bsg0y9dMJWhfDNxbOp+M29+0d5NRshXzVZzAd541j/aTjNkPpOEPpePMA6bFskumCQ6mmecdNwwwkLjezHetv3wR2OWPZJA/fs7PtcUev56rMFt1ot2XcZsdgpn5G59KNAEXHJxWzloS6gaTNWDbJYDrGt9+6dUHZE9bn+KR9IxkStrlkrNulrCmEEBtm04W0INSYPbLG7EqhrOJpvtrYhbmohHlon8Xh/asrYTb+frVlzNXSrOz99uvHZiWt6AQFQ4FlKMJQM5CMUaz5BCEkYyaDqQRTxRrVen001Lo+Y+gxMVeJ+q61PH/ZC6nUolJx62L4g+NZPvXMBBPzVWqez5Z0jN1DaW7f3sfxqVL0/FovaZA6WXC4eTTNyxeLnJgukU3FuG1bH5MFh4NreI86zWBNF2rcPJpZ0HJiIGkvOQ4rHbfIJCz2j2Q6BqXVHgG1GgfHs23HutYNAkIIIa7epgtpy5X+roXlWmMsLmF+7Vx0PujVljD/OHg3v+r/6Dq/kvU3lI4xHVZxvGiNk21EOw79ABIxg5gdww00WzNxTENxcqZMzDZIxWxs0yAINRXXWxDQWk2XvPaL4UPNSCbGK1M15ssetukQs6I2EfuG05ycLpGrugwko52VUG9iW6gxPpjkppEMjh8wVagRt8odX1+7dWSLg9lkrspjx6ebC+3HswlsU1H1ggU9yTp1/fcCOgalTs1g1+P4JGmPIYQQvWfThTTQ13QW7UqzZZPFRnf/gCOn/AUlzI/cW9+FucoSZk0b3Or+1/V6CU39MSi50cxUN97CTMzgfH1fhFnf1TlX9umLK0wjTtoyiVmKLZkEuUoNrUOUUlgtOyzVMuE10CxpZntsIsf4UIrRgSS5qsdkzqHk+rz0eoH7bxrm9rF+jk3k2TaQWHAsVKf1X7lq+z5wnQ4Hb10PNpmr8qlnJjg9U24eo3RipsKeIZYco7SWUw2Wawa7HqQ9hhBC9JZNF9K6vVNzI0qY67nYfzmNgLZ4F+Z6MIDJwuWAs+BoLU9jqKj5sKE0s6Uau7dEC+vLtYBKrRqdr6rVsuHRgCXNbBslwK+9NkPR8dk2kMAyon5el0ouf/H0ee7ePbSq9V/Hzs3zyAuTTBUcRvsTvOeOMSY7rCNrXQ92bCLHXKl2xWOUrjRr1SkoyWyXEELcWDZdSOuGlZYwj5zy+erZpSXMQ/st7lxlCfOnvX/CZ8J3rPMrWV5IFHSu1GB2LdIWVGoehgFxM5od88MQ19d4IZQcn5E+m7hpEgKzRZfxbIqJfJWap6MGxAritorG2OY5Um1+WhslwDOXKqTjJjHLxPVDBpI22ZTF8xfyPLBox2Zj/ddIJs7LF4vkKm5zTZoBfPzx02TTFtsHkuQdj48/fprdW5K8adfgksdpXQ82V3bxgpCB2OXyY6djlNY6a7URs10rKfMKIYRYfzdkSFvugHLoXMK8YxUlTNj4Bf/tdOvcUrfefywMQvxQUwsCTAVmPXHtGEySTcWxTYUXaHKVGhUv4JbRflxf44chlmEQsxSVms9M0VtwmLsF7Nvat+R5GyVAPwyxwyig1fyA7dk0aEXSNtuu4xrPJnnhQpHhTIz9w2nyjsdrU2ViFmTTVrO3WePPE9Mlbh7tW3Y92FA6hm0a63aMUi9YSZlXCCFEd9wQIe29xtf4j/bvLrhtvUuY7Tr8v66zvN393aWfuI40Zr2CEPZtSXB8utI8ecAnKnsmLLh1Wx+zZbd+cLjBrdv6eO5CnnceGOHcpSrFWrSbcdeWJK/nKgym45RrAW4QEjMN0nGTfVszS56/UQJ8darAi68XGUrF2LMlhWUY5KpRw9dGI9jWdVzZlM3de7LMFl2KNY+BRIz9Ixk+98Ik9+4eWvAcAwmbmaLT9nFa14M1jnY6PVNe8zFKvTZr1WgWvFyZVwghRHdctyFtJSXMRs+yxSXMH6zvwlxNCbNXZsqutcbMnNbQl4oRM6LeZqG+fA5oX8ImBPaP9FFyfKaLVY5PFUFHDXPv2n25jFh0PO7YMcBc2Vsyw3bf3qE2I4iC2kfedTOfOnqeuYqLF2hCHbJnKMX737wTWLoY/8vHpxkfTLFr6PJ5oKHWJG2TvOM1Z9AA8o7H3uHMFdeDjWWTPHzX+ILdnas5RqkXZ6262fZDCCHE8q6bkLbWXZirKWEuCGXAP92AdWW9Km6B4wWMZROEKHS9Z5qBRim4mK9xYqrIxbyDG2gMQ3FgJMXXTszyjpuG2TGYbM5OffCeXTz+6kwzcNmmYigV48EDox2fv1ND2U6L8Tu1s7h/3xAvXCgBLGhy+8G7d65oPdhYNrnmY5R6cdaqm20/hPj/27v3GKnKM47j39/M7JXbWllllYuwabVqVMDgBTWmrYTQi9ZYlWKtLZG0saambRq1tmqatP7V1Gpapdao1dLY9BJDkZZYWzXxgqLIRVRErZSNCwi7ILvszszTP86ZZRh2dmeXmd2zZ55PsmHmnPecPc88YXh4z3ve1zk3sIoWaZIWAncTdKg8YGZ3FexXuH8RcAC4zszWlXLuUp/CDAqzNBvCW5jNjWJBa7AW5iWt0Z9INgryl3IqZnx9iqbGWupTSdIGPekstakEKQVnOG5CLZvbOujs6qUuleT4CbU0NzXS8XEv7+zcR11N4ojeqVUb29hzIHjC8qJPNdPS1DDg7cChDKovNp3FZbOncX5rN6s2trGjo4vjJ9Zz5dxpnFnw0EAlRLHXqtLTfjjnnCtO1t9gqnKcWEoCbwGXANuBtcBiM9uc12YRcCNBkXYOcLeZnTPQec8+IWlrrx8fHn9oe9aMDR9m+8aV5W5h1ibhwulJFrSmhnwLE+DZ7Glc2/ujIUQeP0kFty4HWrpz8rgall5wEqs3tdPUUEtjbYIDPVn2dvUwZWIt4+pq2bxjL7XJJIlEMLnrCU0NzJzcSHdvlp9dfkbfufJv+x0+qesk1m/vOGL7cG8HRm381+qNbXT1ZA7rtcotZVU49chIitrn5JxzY4mkV8zs7OEcW8metHnAVjPbBiDpj8ClwOa8NpcCj1hQKb4gqUlSi5m1DXTiXI2Vu4W5ZluGNe+k+TBGT2FGQSoRFGg1yQRmRjZrZAgeFkgmgj8TSZHJGD3pDJfNnsZH+3vZunM/uw/0MK4mybwZx9C+/yBNjSmSyQQSpJIJ6s1o7+xm5rHjjugRLXbbb9XGNk6ZMrFstwOjNnlrVHutovY5OedctahkkXYi8EHe++0EvWWDtTkRKFqkbe80dGcns44R2/YE1VVzo7ikNcmCWakh38LMva+GwiwFfdNa5D6h/M6x/E8tKTijZQLv7uni44MZUknR2lzPtp1d1NWKpIKJZ0XQy1Zfk6ClqYFvXjjriF6Xe59+G0wcN66OHZ0HQVnMIJ3N0tHdy9kzmg67zmK3/T7s7GZuwZOXo307sJx8slrnnHP5Klmk9dd9VXhvtZQ2SFoGLIPgCcy5LUE5Mbfl0OFv7sry5q4e7nmp/2V9Cm3IzirYclNJx42WTFcHyYZJBVsPLzfNLItl0kqkwlHdEuEQfrNsBstmMMuSSCRzB2CWVTJVa2ZZ+ob7I+vp6ngPM8tm0uH6TYm3EsmUUnWNSAlQAiEMA8taprdbP/7f1v6uPdHYdGyitn4CZlmSNfVKJJKghGXTPU/1dO/LdHXs/mom3TdxXaJ+QhNSAstmLN07SamaDpRIqqau4Z7eg11YNtN3ciWSmGWXdO/bW4aPOUomA7tG+yJGgcddXTzu6lKtcZ883AMrWaRtB6blvZ8K7BhGG8xsObAcQNLLL+/IDOve7lgm6eV0R3tVxp3t7a7KuIc7hmEs87iri8ddXao57uEeO/B9waOzFvikpJmSaoGrgScK2jwBXKvAuUDHYOPRnHPOOeeqQcV60swsLek7wD8IpuB40Mw2SfpWuP8+YBXBk51bCabg+Ealrsc555xzbiyp6DxpZraKoBDL33Zf3msDbhjiaZeX4dLGIo+7unjc1cXjri4ed3UZdtwVmyfNOeecc84NXyXHpDnnnHPOuWGKbJEmaaGkNyVtlXRzP/sl6Vfh/tclzRmN6yy3EuK+WFKHpNfCn5+MxnWWk6QHJbVL2lhkf1xzPVjcscs1gKRpkp6W9IakTZK+20+b2OW8xLhjl3NJ9ZJekrQ+jPvOftrEMd+lxB27fOdISkp6VdLKfvbFLt85g8Q99HwHU2VF64fgQYN3gFlALbAeOLWgzSLgSYK51s4FXhzt6x6huC8GVo72tZY57ouAOcDGIvtjl+sS445drsO4WoA54esJBMvHVcPf71Lijl3OwxyOD1/XAC8C51ZBvkuJO3b5zovte8Af+osvjvkuMe4h5zuqPWl9S0qZWQ+QW1IqX9+SUmb2AtAkafQWOCyPUuKOHTN7BvhogCZxzHUpcceSmbWZ2brw9T7gDYKVRvLFLuclxh07YQ73h29rwp/CwdBxzHcpcceSpKnA54EHijSJXb6hpLiHLKpFWrHloobaZqwpNabzwi70JyWdNjKXNqrimOtSxTrXkk4CZhP0MuSLdc4HiBtimPPwFtBrQDuwxsyqIt8lxA0xzDfwS+CHHL7yYL5Y5pvB44Yh5juqRVrZlpQaY0qJaR0ww8zOBO4B/lbpi4qAOOa6FLHOtaTxwJ+Bm8yss3B3P4fEIueDxB3LnJtZxszOIlhVZp6k0wuaxDLfJcQdu3xL+gLQbmavDNSsn21jOt8lxj3kfEe1SCvbklJjzKAxmVlnrgvdgnnoaiRNHrlLHBVxzPWg4pxrSTUEhcpjZvaXfprEMueDxR3nnAOY2V7g38DCgl2xzHdOsbhjmu/5wJckvUcwZOczkh4taBPHfA8a93DyHdUirVqXlBo0bklTJCl8PY8gh7tH/EpHVhxzPai45jqM6XfAG2b2iyLNYpfzUuKOY84lNUtqCl83AJ8DthQ0i2O+B407jvk2s1vMbKqZnUTwb9i/zOyagmaxy3cpcQ8n3xVdcWC4rEqXlCox7iuAb0tKA13A1RY+NjJWSVpB8NTLZEnbgdsJBtnGNtdQUtyxy3VoPvA1YEM4XgfgVmA6xDrnpcQdx5y3AA9LShL8o/S4ma2M+/c5pcUdx3z3qwry3a+jzbevOOCcc845F0FRvd3pnHPOOVfVvEhzzjnnnIsgL9Kcc8455yLIizTnnHPOuQjyIs0555xzroCkByW1S9pYQtvpkp5WsLj665IWleMavEhzzo15kjKSXguXW1kn6fwhHn+xpJVH8ftvHe6xzrnIeogjJ14u5jaCaVZmE8yT9utyXIAXac65OOgys7PC5VZuAX4+wr/fizTnYsbMngE+yt8mqVXSakmvSHpW0im55sDE8PUkyrSCghdpzrm4mQjsgSN7yCTdK+m68PVCSVskPQdcntemWdKasEfufknv55ZukXSNpJfCXrv7FSygfRfQEG57bCQDdc6NuOXAjWY2F/gBh3rM7gCuCScmXwXcWI5f5kWacy4OckXSFuAB4KcDNZZUD/wW+CJwITAlb/ftBEu6zAH+SrgigKRPA1cB88NFszPAEjO7mUM9eUvKG5ZzLiokjQfOB/4UrhpyP8HKEgCLgYfMbCrBagq/l3TUNVYkl4Vyzrkh6goLJySdBzwi6fQB2p8CvGtmb4fHPAosC/ddAHwZwMxWS9oTbv8sMBdYGy6/1wC0lzkO51x0JYC9ue+aAksJx6+Z2fPhfwQnc5TfEd6T5pyLFTN7nuDLsRlIc/j3XH1+0yKn0ADbHw57zM4ys5PN7I6jvV7n3NhgZp3Au5K+AhAuEH9muPu/BP+Ry/W61wM7j/Z3epHmnIuVcCBvEtgNvA+cKqlO0iTCL1FgCzBTUmv4fnHeKZ4DrgzPtQA4Jtz+FHCFpOPCfZ+QNCPc1yupplIxOedGnqQVwPPAyZK2S1oKLAGWSloPbAIuDZt/H7g+3L4CuG6wxdNL4bc7nXNx0BCOEYGgx+vrZpYBPpD0OPA68DbwKoCZdUtaBvxd0i6Cwix3e/ROYIWkq4D/AG3APjPbJek24J/hWJNe4AaCQnA58LqkdT4uzbl4MLPFRXYdMS2HmW0G5pf7GlSGQs8552JDUh2QMbN0OL7tN0XGoDjnXEV5T5pzzh1uOvB42FvWA1w/ytfjnKtS3pPmnHPOORdB/uCAc84551wEeZHmnHPOORdBXqQ555xzzkWQF2nOOeeccxHkRZpzzjnnXAR5keacc845F0H/Bw4wESS3B+zZAAAAAElFTkSuQmCC\n",
"text/plain": [
"<Figure size 720x432 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(10,6))\n",
"plt.scatter(x,y,alpha=.3)\n",
"\n",
"plt.scatter(x,Y) \n",
"plt.plot(x['production_budget_usd'],Y,color='black') #to convert dataframe to an array \n",
"plt.xlim(0,450000000)\n",
"plt.ylim(0,3000000000)\n",
"plt.xlabel(\"Budget\")\n",
"plt.ylabel(\"Revenue\")\n",
"plt.title(\"Cost v/s Revenue\")\n",
"\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 49,
"id": "ba3aa345",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"numpy.ndarray"
]
},
"execution_count": 49,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"type(Y)"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "49344ba8",
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": null,
"id": "c8d5afb5",
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": null,
"id": "c10e871e",
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": null,
"id": "ad6ae4a1",
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3 (ipykernel)",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.9.12"
}
},
"nbformat": 4,
"nbformat_minor": 5
}