{ "nbformat": 4, "nbformat_minor": 0, "metadata": { "colab": { "name": "Итог: Простейший анализ данных.ipynb", "provenance": [], "collapsed_sections": [] }, "kernelspec": { "name": "python3", "display_name": "Python 3" } }, "cells": [ { "cell_type": "markdown", "metadata": { "id": "eJYTR2X3nCEb" }, "source": [ "# Phystech@DataScience\n", "## Занятие 1. Простейший анализ данных.\n", "\n", "*Примечание.* Подробнее про работу с различными библиотеками Питона можно посмотреть в наших туториалах." ] }, { "cell_type": "code", "metadata": { "id": "oFfC6Lu--5QR" }, "source": [ "import numpy as np\r\n", "import scipy.stats as sps\r\n", "import matplotlib.pyplot as plt\r\n", "import seaborn as sns\r\n", "sns.set(palette=\"Set2\", font_scale=1.3)\r\n", "\r\n", "%matplotlib inline" ], "execution_count": 1, "outputs": [] }, { "cell_type": "markdown", "metadata": { "id": "clYTo6ZQA5lc" }, "source": [ "## Выборка\r\n", "\r\n", "Пусть нам попались какие-то данные.\r\n", "\r\n", "В данном случае — 100 различных значений какой-то величины." ] }, { "cell_type": "code", "metadata": { "id": "hM0Sc5y7_FpY" }, "source": [ "size = 100 # размер выборки\r\n", "sample = sps.norm.rvs(size=size) # генерируем реализацию выборки из N(0, 1)" ], "execution_count": 2, "outputs": [] }, { "cell_type": "code", "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "KFkaJ1N6CGHn", "outputId": "bd8f3cb0-fb60-4dc4-dd00-6c74acce02d6" }, "source": [ "sample" ], "execution_count": 3, "outputs": [ { "output_type": "execute_result", "data": { "text/plain": [ "array([ 1.4694579 , -1.16372156, -0.09200531, 2.04196851, -2.19080146,\n", " -0.80042021, -0.09050994, 0.48966552, -0.6104091 , -0.23999291,\n", " -1.0702828 , 2.45909955, -0.76026938, 1.23184359, 0.35449563,\n", " 1.11132924, -0.01478976, 0.90131138, 1.94285115, -0.00437244,\n", " -1.42938627, -1.583689 , -0.75399546, 0.23257718, 0.46463143,\n", " 2.28289654, -0.63173655, -0.48240007, 0.36558808, -0.33946135,\n", " -0.69307015, -0.5291172 , -0.26940048, -0.06775259, 1.61811464,\n", " -0.64247747, -1.25793313, -0.57045423, -0.51259108, -1.84549721,\n", " -0.0415442 , -0.75694694, -1.16910648, -0.64347649, 1.84542019,\n", " 0.64610333, -1.18691192, -0.53480103, -1.3065839 , 1.29200288,\n", " 1.39365151, -1.14226594, 2.39410418, 0.54798032, -2.14564358,\n", " -0.9717628 , -1.12055401, 0.56010414, 0.33707968, -1.18463322,\n", " -1.00506209, -0.8777773 , 0.58858336, 0.89087633, -0.83548504,\n", " 1.07012296, 0.56872595, -0.12620446, -0.57501254, 0.16505806,\n", " 1.23542741, 0.70491768, 1.23909053, -0.54949278, -0.00982067,\n", " 0.56001076, 1.37450317, 0.66161703, 0.51650303, 0.66760551,\n", " 0.20649633, -1.46794604, 1.3694449 , -1.15321223, 0.85429712,\n", " 1.13053514, 1.00234837, 1.11106 , 0.74626235, -1.0790917 ,\n", " 0.64532372, -0.47783549, 2.17570268, 1.47756022, 0.4606338 ,\n", " 0.80496987, 2.40936153, -1.45828842, 0.51503181, -1.61893947])" ] }, "metadata": { "tags": [] }, "execution_count": 3 } ] }, { "cell_type": "markdown", "metadata": { "id": "Ito8HkWme9Jo" }, "source": [ "Нарисуем их график. По оси x — значения реализаций случайной величины." ] }, { "cell_type": "code", "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 164 }, "id": "V-rjyv20_U1h", "outputId": "889972a4-0ff3-40a3-eb8c-fd0b3401b4a2" }, "source": [ "plt.figure(figsize=(15, 2)) # объявляем график и его размер\r\n", "plt.scatter(sample, np.zeros(size), alpha=0.5, color='purple', label=\"Реализация выборки\")\r\n", "plt.legend() # добавляем легенду\r\n", "plt.show() # печатаем график" ], "execution_count": 4, "outputs": [ { "output_type": "display_data", "data": { "image/png": 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\n", 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" ] }, "metadata": { "tags": [], "needs_background": "light" } } ] }, { "cell_type": "markdown", "metadata": { "id": "2W92bdJcB1I2" }, "source": [ "Для начала давайте попробуем прикинуть, как распределены данные.\r\n", "\r\n", "## Гистограмма" ] }, { "cell_type": "markdown", "metadata": { "id": "UlhDaJW_D9d_" }, "source": [ "**Идея:** разделим всю числовую прямую на несколько \"корзин\" и посмотрим, сколько объектов попало в каждую.\r\n", "\r\n", "**Формально:**\r\n", "\r\n", "Пусть $X_1, \\ldots X_n$ — выборка.\r\n", "\r\n", "$-\\infty = a_0 < \\ldots < a_i < \\ldots < a_{m} = +\\infty$ — разбиение на $m$ корзин.\r\n", "\r\n", "$n_k = \\sum \\limits_{i=0}^{n-1} I(X_i \\in [a_k, a_{k+1}])$ — количество элементов в $i$-й корзине.\r\n", "\r\n", "\r\n", "Можно построить график в виде столбиков, где высота столбика показывает, сколько объектов попало в соответствующую корзину.\r\n", "\r\n", "Этот график по форме похож на график плотности распределения нашей случайной величины.\r\n", "\r\n" ] }, { "cell_type": "markdown", "metadata": { "id": "fDU4waEgpfDy" }, "source": [ "Гистограмму можно построить с помощью библиотеки `matplotlib`." ] }, { "cell_type": "code", "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 344 }, "id": "MM5QCPc5BQi7", "outputId": "3a239d21-bce2-4953-b00e-c89b434121ff" }, "source": [ "# Тяжелые графики стоит рисовать на белом фоне\r\n", "sns.set_style('whitegrid')\r\n", "\r\n", "plt.figure(figsize=(15, 5))\r\n", "\r\n", "plt.title(\"Нормированная гистограмма и график истинной плотности\")\r\n", "\r\n", "# Гистограмма:\r\n", "# x - данные,\r\n", "# bins - количество корзин, \r\n", "# density - нормируем, так что сумма высот столбиков равна 1\r\n", "plt.hist(x=sample, bins = 10, density=True, label = \"Гистограмма\") \r\n", "\r\n", "grid = np.linspace(-3, 3, 500) # сетка из 500 чисел от -3 до 3\r\n", "plt.plot(grid, sps.norm.pdf(grid), lw=3, color='red', label='Истинная плотность')\r\n", "\r\n", "plt.legend()\r\n", "\r\n", "plt.show()" ], "execution_count": 5, "outputs": [ { "output_type": "display_data", "data": { "image/png": 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bMt3Wn3/+me51xNnZGYBHjx6h1WrVa3NalpaWetdBUJoZr1mzhjlz5mSYlL2MmJgYTExMKFGiRLrPZ/fanRUBAQF6/Sdzss/cutalFRgYSEJCAkOHDmX16tW5um0hDEkSPiHyqdT+SNHR0Tp/1FJvwp7vrxQdHc1bb72lt156zXTc3NzYsGEDWq2Wvn37vjCO4OBg7ty5w8iRIzNcJ73aj+joaHXfafvepY0x9Wb1+dHnlixZgpWVFQkJCezbt4+RI0cSGBhIw4YN2bNnD2ZmZixevBgTE+USlpycrDd4CihNehYtWqRT9tVXX+mtZ2xsrNMsMjWGtAOD7Ny5kxYtWug060zv1+233nqLOXPm0LlzZ0aNGkXjxo3T3WdOJSQkMG/ePAYOHMgbb7yh93yZMmV0an1yqmTJkune8EdFRWXYV+5FoqOjdfrxREdHY2pqSpkyZdTzPGbMGJ0mub///nuG2+vatSvz5s1j3rx52NnZpZucpuXm5oa3tzeXLl2iR48een3DchJDembOnMn777+Pg4NDrjYHu3fvnl5ZdHS02lfy4MGDPH78mICAAJ3v/MOHD3USvLJly6b7XXne/fv3002AsnJ8zs7OrFixAj8/P77++muaNm2abpKTnhddb8qUKQMogxXllqVLl1KsWLEXDqr07rvv6vV/S6+G2MHBQadfKaBzHCVKlECj0WT4vXrzzTf1ylM/366urq9kjtZ//vkHa2vrDJsrZ/fanRV9+vTR+UHs3r17On08s7rP3LrWpYqOjmbZsmX4+Phk6UcRIQoSadIpRD6V2uwqdbTDVD/99BNFihTRqyX8+eef9ZbT9mFIq1OnTly9epXr16/z3nvvZRjDo0eP8Pf3Z/jw4Rn++g1KE660yVF0dDRhYWFqc8P69etjamrKTz/9pHcs8OwX8FS1atXC3t6ehg0bMn78eIoWLap2xI+Pj8fExESnSdeOHTv0RmEEpZmSvb29ziOjP+TPr5d6c5nqyZMnek0Gf/zxR73taLVaJk2ahLOzM4MHD37hPnMiMDCQxMREPv7443Sfd3Fx4datW3o1f9nVqFEjwsLCdG6u4+Li2Ldvn06TwKx6/vP5yy+/YGdnh7GxMYmJiSQnJ+u8v8nJyWzfvj3D7RUvXhxXV1c2bNjAhx9+mOn+XVxcMDc3V0dIfF5OYnje9u3buXjxotoXLjcdPXpU54eVCxcucO3aNfU7llrblvojCMCxY8e4ceOGznZq166t0yQ3Pj6e2NhYvW3HxcXpjVyY1eMbPnw4ZmZmjBkzJlvNOjO73lStWpVKlSplqbYtK27evElQUBDjx49/Ye1ZmTJl9K4P6bGwsNBbL+12LSwsqFu3Ljt37tRp5n3y5Elu3bql9706ceIEu3btUkedzG3x8fEcPXoUJyenDNfJ7rU7K8qXL6/zHj3/OcvqPnPrWpdqwYIF2NjYpHt9EKKgkxo+IfIpW1tb3nvvPfz8/EhKSlJH6dy4cSNDhw7VGbAFlBvqYsWK4eTkxP79+9m9ezdfffVVur/cFitWTB2kJaNR4QD27t3Lm2++mWktoJWVFV5eXowePRpzc3MWL16MqampOkx5mTJlGDBgAKtWrcLc3JxmzZpx5swZFi1aROfOnXX654Ey4ENUVBRPnjxh//79PHz4UL0paN68OUFBQUyePJkuXbpw8eJFVq9enaNap+xo0aIFq1atYuXKldSpU4d9+/bx559/6q23du1azp07R2ho6CuJIyQkhOnTp2eYRHbt2pX169fj5eWFp6cndevW5f79+/z8888sXLgwy/vx8PBgy5YtDBo0iBEjRmBmZsbKlSuJj49n2LBh2YrZyMiIoKAgkpOTqVatGj/++CPnzp1j5cqVgFLzUb9+fVatWoWlpSXFixfnu+++SzeJT+uzzz6jc+fOWUpANRoNy5Yt48GDBzpNdVPlNIa0QkJC8PT0TPdHlpdVunRphgwZwvDhw0lMTMTPzw9ra2t1mhUXFxeMjY3x8fGhf//+3L59m4CAAL1YPDw88PDwYMqUKeoonfHx8Rw5cgQ/Pz8aNGjAwoULsba21pvWJLvHZ25uzowZM3B3dyc0NFSvP/LzMrveaDQaJkyYwJgxY/j444/p2bMnxYsX59y5c5QtW5aePXtmKa5U27Ztw9nZmfbt22frdS9j1KhRDBs2jBEjRuDm5qaO0lmlShW6deums25ISAhdunTJMMF8GUePHsXf35979+7Rv3//DNfL7rU7N2R1n7l1rUu1adMmVq9eneXBmYQoSCThEyIfmzNnDgsXLuT7778nOjqaSpUq4e3tne5IlHPnzmXx4sWsWrWKEiVKMHbs2BcOxpKVkUJTUlLw9vbOtO9IjRo16NmzJ/7+/ty+fZvatWuzevVqnV/px40bR+nSpdm4cSNBQUFYWloyaNCgdJtupZYVKVKESpUqMX78eHWI8VatWjFx4kSCgoLYsWMHdevWZdGiRa+kViWtESNG8ODBA1asWEFSUhItWrRg/vz5OjeZN27cYP78+YwZM0YdZTS31a5dO925FFOZmZkRFBTEggULCAwMVPvINW/ePFv7qVixIuvWrWPu3Ll8/vnnaLVaHBwcWLt2rd4v8pnRaDQEBATw5ZdfEh4eTvny5Zk5c6ZOPzpfX1+mTp3KlClTsLCwoGvXrnTs2FGnCe3zrKys0m2ynJHMbk5zEkNalpaW6oi6ua1ly5bUrFmT6dOnc+/ePZycnPjyyy/V72atWrWYPXs2ixYtYtiwYVSrVo2vv/6aNWvW6AyK4eLiwpQpU1i8eDE///wzY8eO5e+//6ZJkyZERkYyZswYqlWrptNk+mWOz9nZmQEDBjB9+nSaNm36wvOVleuNq6sry5YtY8mSJXh7e2NiYkLNmjUzHHDlRbRa7SurPctI69atWbx4MYsWLWLkyJEULVqUli1b4u3tTdGiRXXWLVKkCJ999tkrieP777/HxMSEoKCgdOchTSs71+7ckpV95ta1LlXr1q1p2rRpbh2CEPmKRvsqho8TQuSZzZs3M3HiRH777bdXUrOQmX79+mFsbExgYGCe71vkfwEBASxZsiTDER9F5tq0aYOLiwvffPNNgdy+EEIIw5J6ayGEEEIIIYR4TUnCJ4QQQgghhBCvKWnSKYQQQgghhBCvKanhE0IIIYQQQojXVIEfpTMlJYXY2FhMTU115uUSQgghhBBCiMJAq9WSlJSEhYWF3vQiBT7hi42N5a+//jJ0GEIIIYQQQghhULVq1aJEiRI6ZQU+4TM1NQWUg8tsrrC8dvbsWezs7Awdhshjct4LLzn3hZec+8JLzn3hJee+8MqP5z4xMZG//vpLzY3SKvAJX2ozTjMzM4oUKWLgaPTlx5jEqyfnvfCSc194ybkvvOTcF15y7guv/Hru0+viJoO2CCGEEEIIIcRrShI+IYQQQgghhHhNScInhBBCCCGEEK8pSfiEEEIIIYQQ4jVV4AdtEUIIIYQQBdPDhw+5e/cuSUlJhg4l20xMTDh//ryhwxAGYIhzb2FhgY2Njd4ce1mRpYTv119/ZcGCBVy9epVKlSrxySef0LNnzyztICUlhUGDBnH48GH8/Pzo1KmT+lxiYiK+vr5s27aN2NhYnJyc+OKLL6hevXq2D0QIIYQQQhQcDx8+JCIiAmtra4oWLZru6IL5WWxsLBYWFoYOQxhAXp/7lJQUbt26RVRUFOXLl8/26zNNEU+dOoWXlxft27dn69at9O/fnylTprBnz54s7WDZsmWYm5un+9zs2bMJDQ1l1qxZBAcHU6xYMQYNGkRsbGz2jkIIIYQQQhQod+/exdrammLFihW4ZE+IvGRkZESFChV48OBBzl6f2QqBgYE4Ozvj5eVF9erVcXd3p1OnTqxcuTLTjYeFhbFhwwZmzJih99zjx4/ZuHEj48ePp1WrVtSuXZs5c+YQExPDjh07cnQwQgghRJ5JToYnT+DxY4weP4a4OEhJMXRUQhQYSUlJFC1a1NBhCFEgmJqa8vTp0xy9NtMmnSdOnKBPnz46ZS1btmTSpEkkJSWlO5s7QExMDOPHj2fGjBmULVtW7/kzZ86QlJRE8+bN1bLixYvj5OTE8ePH6dWrV3aPRQghhMgdT5/ChQvK4/p1uHZN+feffyA6Gh48gEeP1NUd0762aFEoXRrKl1ceNjZQsybUqqX8W6MGFCuW10ckRL4kNXtCZM3LfFcyTfiioqIoV66cTpmVlRVJSUncv38/w3akEydOxNXVVSehe367Go1Gb9uWlpZERkZmNX7V2bNns/2avHDs2DFDhyAMQM574SXnvgDSaily8ybFjx2j2IULyuPSJYwSEnK2vfh45fHvv+nvTqPhSdWqxNrZEWtvz2N7e55UrQrGxi9xEMKQ5HufMyYmJgW+G09Bj1/knCHOfWJiYo6uN69klM7vvvuOiIgIFi5c+Co2ny47OzuKFCmSZ/vLimPHjuHs7GzoMEQek/NeeMm5L0Cio2HPHti9W/n3+vWcbcfMDExMSNZoME5t4pkJjVZL0StXKHrlCpbbtimFpUtD+/bQqRO4uio1g6JAkO99zp0/f75AD3oig7YUXoY692ZmZtSvXz/d5xISEjKsAMs04bO0tCQ6OlqnLCoqChMTE8qUKZPuaw4dOsT58+dp0KCBTvm4ceNYvnw5W7duxdLSEq1WS3R0tE4t4fPLQgghRK6IjoYtWyA4GPbuVfrgvcibb4K9PVSrBpUrQ5Uqyr/ly0OpUlCihFordzL1pj8lRenLd/8+3L0LERFKc9C//oJLl5R/r17V33dMjBJXcDBoNNCoEXzwAfTtq8QhhMhXfHx8uHPnDoGBgWpZfHw8HTp0ICIigo0bN+rdBwthKJkmfI6Ojvzxxx8MHTpULTtw4AD29vYZ9t+bPHkyY8aM0Snr3Lkz48aNo23btgDq6w8dOkS3bt0AJVs+fvw4kyZNyvEBCSGEEKqEBCXJCwpSavIy6vBeogS0agXNm4OTEzg6gpVV9vdnZATFiyuPjBK1uDgIC4M//1Qehw/DnTvPntdq4X//Ux6TJilx9esHPXooiaYQIl9avXp1jkdRFOJVynSUTg8PD8LCwli0aBFXrlxh3bp1bN++nSFDhqjr7N69G1dXVyIiIgCoVKkStWrV0nkAVKxYkcqVKwPKAC1ubm7MmzeP33//nQsXLuDt7U2pUqV05uoTQgghsu3qVZg4UUm6+vSBXbv0k72mTWHqVDh4UKn9Cw0FHx+laWVOkr2sKlYM3n4bvL1h82a4fRtOnYKZM6FFCyVpTKXVwv79MHgwVKwIQ4bA6dOvLjYhRI5ERUWxcuVKBgwYoPdcZGQkEyZMwMXFBXt7ezp27MhPP/3EzZs3sbW1zfCxefNmAGxtbXVGsP/jjz+wtbVl8ODBalm/fv2YMmWKzn537NiBra2tuhwQEICrq6tebLa2thw5cgQArVbL5MmTadu2LQ4ODrz77rv4+fmRmJio87pVq1bRtm1b6tWrp8b7/P7TCggIyPA4U/edqk2bNnrrLF++XH3+8uXLDB48mAYNGuDs7MyoUaPUHGTz5s0vfE9v3rzJkSNHsLW11RszxNXVlYCAAHU5IiKCUaNG4ezsTIMGDRg8eDB///23zmtOnz7NoEGDcHR0xNHRkd69e3Px4sWXiuNVyLSGr379+vj7+7NgwQKWLl1KxYoVmTZtmlpTB/Do0SOuXr1KUlJStnY+YcIEjI2N8fb2Ji4uDkdHR1avXi3toYUQQmSfVgu//QZz58LOncry85o0ATc3+PBDZfTM/ECjAQcH5eHjozQHDQ2F776DX399NtXDkyewapXyaN0aRo+Gzp1lsBfxevH1hS+/hMeP826fxYsr+xw7Nseb8Pf3x9ramp49e7Js2TK1PD4+Hnd3d0qUKMH8+fOxtrbmypUrJCYm8sYbb3Dw4EF13RYtWhAQEICjozLub4kSJfT2k5yczMyZM1/ZvbJWq6VcuXL4+vpSrlw5/vrrL6ZOnYqJiQmjRo0ClIRz7ty5TJ06ldatW2NiYoKXl1em265cuTLr1q1Tl+/du0eXLl3SjWHYsGG4u7sD0LNnT/W5+Ph4Bg8eTM2aNVm/fj1Pnjzh66+/ZuTIkQQHB9OxY+8ofloAACAASURBVEdatmwJKDMNeHl56bzHZcuW5datW1l6Hzw9PdFoNKxatYoiRYowb948hgwZwq5duwC4ePEi/fr1w9XVlbVr12JhYcGpU6dITk7OtThyS5YGbWnbtq1Ogve87t2707179xdu4+LFi3plZmZmTJo0SZpwCiGEyDmtFnbsgBkzlOaRz7OxgY8/hv79lX54+V2ZMkqs/fsrtX/r18P//Z9uzd7+/cqjenWYPBnc3cHklYzDJkTe8vXN22QPlP35+uY44fv7778JCQlhyZIlGBnpNp7bvn07d+7c4bvvvsPqv5YDb6Zp7m31XGuCUqVK6ZWltWHDBgDeffdd7t27l6N4X8TIyIhPP/1UXbaxseHWrVusXbtWTfjCw8OpUKGCzrRtGXXzen7bLzq2VElJSTrvg3GaH7W2b9/Ow4cP8fPzo2TJkgDMmzeP9957jz///BMXFxfMzc0B5b0E/fc4Kw4fPkx4eDi7du2iyn9/N3x9fXnnnXfYtm0bHTt2ZMWKFVSvXp1Zs2apUyZUrVpV3UZuxJFb5K+DEEKIgkmrhU2b4Ouv9Zs5ajTQoQMMG6aMfFlQk6FKlZSb0M8+g0OHwN9fOebUQV/+/hsGDlTeg9TELws3XkLkW2PHGqaG7yVq9+bOnUujRo1o1aoVN2/e1Hnu3Llz1KpVK1du9h88eIC/vz++vr5s375d7/lNmzYRGhqqLqc3Sfe1a9fUGkRQarKeFxwczA8//MCtW7eIj4/n6dOnOuvZ2NgQGRnJoUOHaNas2cselp7Hjx9TtGjRdJ+7fPkytWrVUpM9gGrVqmFpacnly5dxcXHJ8n7atWunM7ddfHy8zn4sLS3VZA+gdOnS1KxZU23WGR4ezjvvvPPSc0mmxlGyZEnq16+Pt7c3NrncAqWA/gUUQghRqO3fr/SBO3pUt9zMDDw8YPx4ZYLz14VGowwo07w53LgBS5bA0qVK80+AK1dg0CAl8fv6a6XfolGm3fSFyH/Gjn2p5Cuv/fnnn/z2229s2rTple9r0aJFNGjQgBYtWqSb8Lm6uqq1cAD79+9nxowZOuvY2NiwatUqdfn+/fu4ubmpyzt37uSrr75i3LhxNGzYkOLFi/PLL7/g6+urrtOhQweOHTvGsGHD0Gq1mJiY8OTJE53arZx69OgR8fHxeTJif2BgoM6MA2n7ROal1DgiIyOZOXMmEyZM0Gn6mhvkr4EQQoiC48wZpcbunXd0k71ixZRasCtXYNmy1yvZe96bbyrNV69dg2++gbJlnz139apSy+fiAn/8YbAQhSgMtFotc+bMoUuXLtStWzfdderVq8elS5eIiop6qX1duXKFH374gQkTJmS4joWFBZUrV1YflpaWeuuYmJjorGNtba3zfFhYGHZ2dnh4eGBnZ0eVKlX0+poZGRnxySefUKpUKSZMmMCPP/6InZ3dSx1fqlOnTgFk+H7WqFGDv/76i4cPH6plV65cISoqihrZvO5bW1vrvBcmaVqC1KhRg6ioKK5du6aWxcTEcOnSJXU/devW5fDhw+nWkuYkjoYNG9K7d2/Cw8NfanvpkYRPCCFE/nfvHnh6Qv368NNPz8qLFFFq865fV/rgPHfz8lorWVKZtuHqVf3E73//U0b8dHNTnhdC5LoTJ07w999/601FllanTp0oX748w4YN488//+TGjRscPHiQPXv2ZGtfq1evplevXlSrVu1lw36hqlWrcuHCBfbu3cs///xDUFCQOkhJqsTEREaNGsW7776Lu7s7lStXVvurvYyDBw8ybdo0mjdvzhtvvJHuOp07d6ZkyZKMHTuWCxcucPLkScaNG4eDgwNNmzZ96RhSubi4ULduXcaOHcupU6c4f/48Y8eOpXTp0nTu3BmAIUOGcPnyZXx8fDh37hzXr18nNDSU8+fPZ2tfiYmJJCQkcPPmTX766SedkVVziyR8Qggh8q+UFAgMBFtbpQlj6i+pGg0MGKBMZD5nDqTzS3ahkTbx8/FRkuBUwcFQpw5Mnw7PDasuhHg5CQkJDBgwIMPkBKBYsWKsXbuWypUrM2rUKDp16sTMmTOzPbK9mZkZI0eOfNmQM+Xm5kaXLl3w8fGhW7dunDx5UqeZKMD06dPRaDR8/vnnubrvCRMm0LRpU+bPn5/hOubm5qxatYqUlBTc3NwYNGgQNjY2LFq06KX70qWl0WhYsmQJ1tbWDBw4UB2gZuXKlRT57xpbu3ZtgoKCuH37Nh999BHdunVj3bp1OoPMZEWbNm1wcHDggw8+wNTUlNmzZ+facajHo33ZekgDS0hI4OzZs9jZ2aknIL84duwYzs7Ohg5D5DE574WXnPtcduYMDB+uzJOXVocOSpLn4GCYuNKRr859auIXHKxbXrcuLF+u9AMUuSZfnfsC5vz589SpU8fQYeRYbGysTCVWSBnq3L/oO/OinEhq+IQQQuQviYnKhOhOTrrJ3ptvKhOV79yZr5K9fKdqVdi4UenD5+T0rDw8XGnmOXQoxMQYLj4hhBB5ShI+IYQQ+cepU9C4MXz1FaQOKW5iAhMmwPnz8MEHSnNOkblmzeDIEZg/H9L+Er18OdSrB7/8YrjYhBBC5BlJ+IQQQhheUpKS5DVsqCR9qZo1U5ZnzdJNWkTWmJjAmDFK7d5/Aw0AyoTuHTrAyJEQG2u4+IQQQrxykvAJIYQwrL//VvqVTZ36rFbP3FwZdfP335W+Z+LlvPUWbN0KP/wAaSeA/vZbcHRUagKFEEK8liThE0IIYTjff68kHGnn1HNxgZMnlXn1sjnamXgBjQZ69oSzZ6FLl2flly4pCfc33yijogohhHitSMInhBAi7z1+DAMHQt++8OiRUmZqCrNnw4EDyjQM4tUoXx5+/BFWr4YSJZSy5GSYPBneew/u3jVsfEIIIXKVJHxCCCHy1tmz4OyszK+XqkYNOHQIvL2lVi8vaDRKwn36tDJyZ6pffoEGDeC33wwXmxBCiFwlCZ8QQoi8s2EDNGmiTJieyt0djh9XBmwReatKFdi3DyZOfFb277/Qpo008RRCiNeEJHxCCCFevaQkpU9enz4QF6eUWVhAUBCsXfusaaHIeyYmMGOGMr+hpaVSlpKiNPHs2fNZk1shhBAFkiR8QghRwCSlJBs6hOyJiIC2bZX54FLVqqWMDNm//wtfWuCOtSBzdVUGy2nZ8lnZli3QtClcvmy4uIQQQrwUE0MHIIQQIntMjYwZeuB7Q4eRJW/+dY3hE30pG3lPLTvZwpk1k4bx5N4pOHDqBa+GZS0/etUhirSsrWHvXhg/HhYsUMrCw6FRI1i/XkkKhXjFklKSMTXKu768Odmfj48PW7Zs0SuvX78+wcHBuRWaELlCEj4hhBCvRP0DYQz+ejFFniQAkKLRsG3Ih+zq2xmtkTQwybdMTJTaWCcn+PhjSEiAmBjo2BHmzIGxY5VBX4R4RfL6R62c/rDUsGFDFqT+MPIfU1PT3AhJiFwlf3GFEELkLq2WDutCGTZ5gZrsxRUvRsBcb3b26yrJXkHRrx8cPAg2NsqyVqvU/Hl6Kn0yhSjkTE1NsbKy0nmULl2amzdvYmtry8mTJ9V1g4ODsbW1ZcqUKWpZUlIS/v7+vPvuu9jZ2dGqVSv8/PwAaNOmDba2tuk+fHx8AEhMTGT27Nm0aNECOzs7unbtyr59+9Ttp8bx/CPwvxGSfXx8GDx4MCtXrqRFixY0aNCA0aNH8/DhQ3Ub586dY8iQIbi4uODo6EiPHj34/fffdd6H1FiPHDmiU967d29sbW3ZsWOHTjyOjo48fvxYXe/Ro0c0aNAAW1tbIiMjAXjw4AHjxo2jdevWODg40KFDB1avXo1Wq83x+SrMpIZPCCFErjFJTKLvvFU023VALbtrXYFvZ47lThVrA0YmcqRhQwgLUwZvOXhQKVu2DK5eheBgKFXKsPEJUQA8fvyYBQsWYGFhoVM+ceJE/vzzT3x8fHBwcCAqKorz588DEBISQnKy0ofZy8sLR0dHBg0aBIC5uTkAvr6+bNu2ja+++orq1asTEhLCiBEj2LJlC7Zp5jJdvnw5devWVZeLFy+u/v/EiROYm5uzatUq7t+/z+TJk/niiy9YuHChGnvHjh2ZMGECJiYmhIaGMnz4cEJDQ6lataq6nYoVK7JhwwaaNGkCwIULF/j333/TfT9KlixJaGgoffr0AWDLli2UKlWK+Ph4dZ3ExERq1arFwIEDKVmyJCdPnmTKlCmUKlWKHj16ZOftF0gNnxBCiFxiHhuHl/dcnWTvr/q1mbV0miR7BVmFCrBnD/Tt+6zsl1+geXO4ft1wcQlRQHz77bfUqVOHevXqqWXXrl0jNDSUadOm8f777/PWW2/h5ORE3/++Z2XLllVrDU1NTSlWrJi6XKJECeLi4li3bh2fffYZ7dq1o1q1anh7e+Pg4MDKlSt19l+qVCmdWsiiRYvqPD979mxsbW1p2rQpX3zxBT///DO3b98GoEmTJnTv3p2aNWtStWpVRo0aRa1atdi1a5fONjp37szBgweJjo4GYP369Xz44Yfpvh8ffvghGzZsUJc3bNigt66VlRWffPIJ9erV480336Rz5864ubmxffv27Lz14j9ZSvh+/fVXOnfujJ2dHe3btyckJCTT14wcOZI2bdpgb2+Pi4sLw4cP5/Jzo3ylV109bty4nB2JEEIIgykZdZ9xXl9T+/g5texgx1Ys8JtIbCmZcqHAK1JEmT5j6tRnZefOKXMqpmm2JoTQdf36ddavX8/EtHNdAuHh4QA0a9YsR9v9559/SEpKwtnZWae8YcOG/P3331neTq1atXRq/JycnNBqtVy5cgWAe/fu8eWXX+Lq6krDhg1xdHTkwoULakKYqmTJkrRr146QkBAeP37Mzp07M0z4mjdvTnx8PCdOnODIkSNoNBoaNWqks05KSgrLly+na9euNGnSBEdHR7777ju9/YqsybRJ56lTp/Dy8sLT05OOHTty+PBhpkyZQunSpWnbtm2Gr2vYsCEDBw6kQoUKxMTEsGjRIjw8PNi7dy9mZmbqesOGDcPd3V1dTq2mFkIIUTCUv/Evo8fOxvJOpFr248e92OneRQb3eJ1oNPDll1C9OgwerPTji4iAVq1g2zblXyGEjtmzZ9O9e3dq1Khh6FByxMfHhzt37jB+/HhsbGwwNzdn3LhxJKXTj7dPnz6MHj0aCwsLmjRpQoUKFdLdpkajwc3NjQ0bNvDkyRN69+6tt87q1atZvnw5EydOpE6dOlhYWLB27Vr27t2b68dYGGRawxcYGIizszNeXl5Ur14dd3d3OnXqpFdd/DwPDw+cnZ2xsbHBzs6OMWPGEBkZyfXnmn9YWFjoVDOXkMl3hRCiwKgSfhnv4dPUZC/Z2IjAiZ+ws19XSfZeV/36we7dz/rvPXwIHTrA1q2GjUuIfObw4cOEhYXh5eWl91xqn7pDhw7laNuVK1fG1NSUY8eO6ZSHhYVlK7m8dOkSsbGx6vLx48fRaDRUq1YNgKNHj+Lu7s67776Lra0tVlZW/PPPP+luy97enrJly+Ln55duEpdWjx492Lt3L3/88QfdunXTez4sLIxWrVrRo0cP6tatS+XKlbl27VqWj0voyrSG78SJE2qnylQtW7Zk0qRJJCUlZWn42djYWEJCQqhUqRJvvfWWznNBQUGsWrWK8uXL06pVKzw9PfU6tQohhMh/7A6f5JOp/upInAnmRVg+bRRnXRoYODLxyrVqBb//riR6d+4oUzd07w4rVsB/A0sIUdgtX76cMWPGUKZMGb3nqlSpwvvvv8/UqVN58uQJDg4O3Lt3j3PnzvHRR5lPE1G0aFHc3d3x8/OjTJkyVKtWjZCQEE6fPs20adOyHKNWq8XHxwcvLy/u37/P9OnTad++PZUqVQKgatWqbNu2jQYNGpCcnMzChQt5+vRphtubNGkSJ0+ezLSpaunSpfnyyy/RaDTpVvZUrVqV0NBQ/ve//2FlZcWPP/7IiRMnKCUDReVIpglfVFQU5cqV0ymzsrIiKSmJ+/fvU758+Qxfu3TpUpYtW0ZcXBzVq1cnKCiIIkWKqM+7u7tTp04dypYty/nz5/Hz8+P8+fOsWrUq2wdy9uzZbL8mLzz/y4soHOS8F155ce6f77NhCE1+OciAmcswTk4B4HGp4gTMHs+1urnfbKmgfJ8KSpy5yWzZMmqOHIn5jRuQkgKDB3Pz5Eki+vcvVDW8hfHc5wYTExOd2qVUhvjhP704XiQ16UnvdamjTZYvX55u3bqp6yQnJ/P06VN1+YsvvmDp0qXMmTOHqKgoLC0t6dSpk942k5OTSUxM1CsfNmwYT58+ZcqUKTx48IBq1arh6+uLjY0NsbGxahzx8fHpxvn06VMcHByoXbs2Hh4exMbG0qJFC3x8fNT1p0yZwjfffEPPnj0pU6YM/fv358mTJzrHkZKSosaXOiZHXFycup+EhIR042ndurX6Hj558gSAuLg4YmNjGTBgADdu3GDYsGEYGxvTvn17PvroI0JDQ7N9rl4VQ8SRmJiYo+uNRpvJhBZ2dnZ8+eWX9OzZUy07fPgwHh4eHDhw4IUJX0xMDDExMdy9e5c1a9Zw69Yt1q9fn+EXOSwsjL59+7Jlyxad4WNfJCEhgbNnz2JnZ6eTTOYHx44dyxc3ZiJvyXkvvPLy3OflpMTPa7ltLx/5rsbovz8fURUt8Z83gYi3KuX6vnI6IXJeK9Tf+4gIeO89OHHiWdnYsTB3bqFI+gr1uX9J58+fp06dOnrlSSnJmBoZ51kcOd1fbGxsgW6V5uPjQ2RkZI4qWgo7Q537jL4z8OKcKNM+fJaWluoQq6mioqIwMTFJt4o6rdKlS1OlShUaN26Mv78/t2/fZtu2bRmuX79+fTQajbTRFUKIfOrd4J24z1ulJns3q73JnMVfvpJkTxQQFSrA/v3w36/1APj6wrBhSq2fENmUl8meIfYnRF7LNOFzdHTkjz/+0Ck7cOAA9vb2Weq/l5ZWqyUhISHD58+fP49Wq8XKyipb2xVCCPHquX63lV6LvlOXr9Wuhq//ZB5YvvjHP1EIlCwJO3fCBx88K1u+XBnN87/Jo4UQQhhGpgmfh4cHYWFhLFq0iCtXrrBu3Tq2b9/OkCFD1HV2796Nq6srERERAJw5c4bAwEDCw8O5ffs2x48fZ/To0aSkpNCuXTtAGQxmzZo1hIeHc/PmTfbs2cNnn32Gvb29NI0QQoj8RKuly8of+GB5sFp02b4W8/0mEley+AteKLIjKaWAJ0bm5vDDD8oonqkCA2HAAHhukIcCf6xCvAZmzZolzTkLiUwHbalfvz7+/v4sWLCApUuXUrFiRaZNm6YzB9+jR4+4evWqOieHubk5+/fvZ+nSpTx+/BhLS0ucnJzYuHEj1tbWAJiZmbFr1y4WL17MkydPqFSpEu3atcPT0xMjoyzNBy+EEOJV02rp+e062gXvVIsuONXj25mfkVhU5k3NTaZGxgbtm5lbNIPa4x79Dy1++k0pWLeOsNuXWfXFcFJMlNuOgtI3UwghXgeZJnwAbdu2feEk6927d6d79+7qcs2aNQkMDHzhNuvVq8fGjRuzFqUQQoi8p9XSe0EQ72zZrRadadqAZV+PJqmImQEDE/mZ1tiI77yHkGxqQqutvwLQcN8RjJ8ms+JLL5JNs3TrIQoJrVaLphAM7iPEy8pknM0Xkqo0IYQQ+rRaevmv1Un2jr/diCXffCrJnsiU1siI7z8byK89OqhljgfCGDZ5PiYJiQaMTOQnpqam6lD9QogXS0pKwsQkZz+YScInhBBC13/NON/d9LNa9L93XaR2RmSPRkPwqH784tZRLXI4fJKhU/0hUZI+ocxTd+vWLeLi4l6q9kKI111KSgoRERE5nnhe/nILIYR4Rqul+9INOn32wt5pwprPPUkxkaHLRTZpNGwa/hFPzUzpuHYrAA6HTkCfPrBxI+Tw12rxeihZsiQAt2/fVseBKEgSExMxM5MWD4WRIc69hYUFlpaWOXqtXGmFEEIotFq6rvyBDuu3q0XH327032AbkuyJHNJo2DrkQzQpKby3LlQp27xZGc3zu+/AWD5bhVnJkiXVxK+gOXbsGPXr1zd0GMIACtq5lyadQgghAHg/cLNaCwNwsrkTK6eOVEdWFCLHNBp+/MSNPb3ee1a2YYMyT59Mzi6EEK+UJHxCCCF4b+1WOq/ZrC6fdmnAimmjpM+eyD0aDT+M6Mv+bmlG/Q4KAk9PkP5bQgjxykjCJ4QQhVzrTb/QbcWzSdXPNXZg2VejeWpmasCoxGtJo2HDmAFKzV6q5cth9GhJ+oQQ4hWRhE8IIQqxprsO0GdhkLp83rkeS775lKcy9YJ4RbRGRrBsmdKHL1VAAEyaZLighBDiNSYJnxBCFFL1D4TRf/ZydflKvRos+eYzmWdPvHrGxrB6NfTq9axs1iyYN89wMQkhxGtKEj4hhCiEah87y8dfBmCcrAyYcbPamwTM8SahmLmBIxOFhomJMkrn++8/Kxs/XkkEhRBC5BpJ+IQQopCpeu4SnpP8ME16CkCEdQUW+voQV8LCwJGJQsfUFIKD4e23n5V9/LEybYMQQohcIQmfEOK1kJSSbOgQcHZ2NnQImar09z94ec/FPD4BgHtWZVkwfyIPy5U2cGSi0CpaFLZtA0dHZTklRZmYfc8ew8YlhBCvCRlvWwjxWjA1Mmboge8NHUaeWNbyoxy9rty/kYweNxuLR7EAPCpVggV+E7lX0So3wxMi+0qVgl27oGVL+OsvSEyEbt1g715o3NjQ0QkhRIEmNXxCCFEIWMQ8YtT42ZSOjgEg3qIoC+dNIKJyJQNHJsR/ypeHX34BGxtlOTYW3nsPwsMNG5cQQhRwkvAJIcRrzvRJAiMnzqPiP/8CkGRqwrczx3LDtqqBIxPiOZUrK0lfuXLK8r174OoKt24ZNi4hhCjAJOETQojXmNHTZD75MoBq5y4DkKLRsPqL4VxqUMfAkQmRgTp1lOadxYsryzduQMeO8OCBYeMSQogCShI+IYR4XWm19PVdjcOhE2rRxlH9Od66iQGDEiILGjaETZuUqRsATp+G7t2Vvn1CCCGyRRI+IYR4TXVes4kWO/aryzvdu7C/R3vDBSREdrRvD6tWPVveuxcGDlRG8RRCCJFlkvAJIcRrqOXWX3k/cIu6fMi1JT9+3MuAEQmRA/37wzffPFv+/nvw8TFcPEIIUQBJwieEEK+Z+gfC+Gj+GnX5bBMH1noPAY3GgFEJkUMTJ4Kn57PluXPB399w8QghRAEjCZ8QQrxGqp35iyHTFmGUogXgWu1qLJ82mhQTmXZVFFAaDQQEQNeuz8rGjFH6+AkhhMiUJHxCCPGasLp5hxGTfDFLTAIgwroCi2aPI6GYuYEjE+IlGRsrzTmbNlWWtVro2xcOHDBsXEIIUQBkKeH79ddf6dy5M3Z2drRv356QkJBMXzNy5EjatGmDvb09Li4uDB8+nMuXL+usk5iYyMyZM3FxccHBwQEPDw/+/vvvnB2JEEIUYhYPHuHlPZfiDx4D8LB0SfznTeBRmVIGjkyIXFKsGISGQs2aynJCglLrd+GCYeMSQoh8LtOE79SpU3h5edG+fXu2bt1K//79mTJlCnv27Hnh6xo2bMjcuXPZuXMnK1asICUlBQ8PDxLTDKk8e/ZsQkNDmTVrFsHBwRQrVoxBgwYRGxv78kcmhBCFhEliEp6fz6fCzTsAJJqZ8u2ssURZVzBwZELkMktLZY6+Cv99tu/fV+boi4w0bFxCCJGPZZrwBQYG4uzsjJeXF9WrV8fd3Z1OnTqxcuXKF77Ow8MDZ2dnbGxssLOzY8yYMURGRnL9+nUAHj9+zMaNGxk/fjytWrWidu3azJkzh5iYGHbs2JE7RyeEEK87rZb+s5ZT8/RF4L+J1ScP51rdGgYOTIhXpFo12LFDqfEDuHoVunWDJ08MG5cQQuRTmSZ8J06coEWLFjplLVu25OzZsyQlJWVpJ7GxsYSEhFCpUiXeeustAM6cOUNSUhLNmzdX1ytevDhOTk4cP348O8cghBCFVufVm2iy55C6vHlYH060bmzAiITIA87OSp++1JFnDx2SOfqEECIDmQ7bFhUVRbly5XTKrKysSEpK4v79+5QvXz7D1y5dupRly5YRFxdH9erVCQoKokiRIup2NRqN3rYtLS2JzEHTjLNnz2b7NXnh2LFjhg5BGICc97zn7Oxs6BDynMvO33g/6Nlce791fZfdvTsaMKJXo6B8n142zsL2GX7p82pjQ/kxY3hz/nxlecMG/rWw4HbaKRzySEH5jIrcJ+e+8CpI5/6VjtPdu3dvXF1duXv3LmvWrGHkyJGsX78eCwuLXN+XnZ2dmkzmF8eOHSt0f8CFnHeRN2yPnaPfnFXq8tkmDmwYPeC1nGuvIHyf5Huffbnyfjk5KYO3LF4MwBurVvFGixbg4fHy284iOfeFl5z7wis/nvuEhIQMK8AybdJpaWlJdHS0TllUVBQmJiaUKVPmha8tXbo0VapUoXHjxvj7+3P79m22bdumbler1eptOzo6Gisrq8zCEkKIwis8nGFfLMA4ORmAG9XfYsWXXqSYGBs4MCHymEYDCxfCe+89K/vkE9i/32AhCSFEfpNpwufo6Mgff/yhU3bgwAHs7e0xNTXN1s60Wi0JCQkA6usPHXrW9yQ2Npbjx4/j5OSUre0KIURhUeL+A+jUiWKP4wC4b1mGRbPH8cSimIEjE8JATExgwwawt1eWk5Kge3e4eNGwcQkhRD6RacLn4eFBWFgYixYt4sqVK6xbt47t27czZMgQdZ3du3fj6upKREQEoAzIEhgYSHh4OLdv3+b48eOMHj2alJQU2rVrBygDtLi5uTFv3jx+//13Lly4gLe3N6VKlaJTp06v6HCFEKLgMklMYtjn8+HaNQCeFC3Ct7PGEVO+3ItfKMTrrmRJZeTON95QlmW6BiGE/Bs0aQAAIABJREFUUGXah69+/fr4+/uzYMECli5dSsWKFZk2bRpt27ZV13n06BFXr15VR+00Nzdn//79LF26lMePH2NpaYmTkxMbN27E2tpafd2ECRMwNjbG29ubuLg4HB0dWb169Svp4yeEEAWaVov73FXUOHsJUKZfWDl1JDdqVTFsXELkF2++qUzM/vbbEBcHV67ABx/Ar79CPuvjL4QQeSlLg7a0bdtWJ8F7Xvfu3enevbu6XLNmTQIDAzPdrpmZGZMmTWLSpElZCUMIIQqtDt9vx+XnA+ryJs8+nGkmzd+F0JE6XcMHH4BWC3/8AcOGwerVr+WARkIIkRWZNukUQghhWPUPhNFt+cZnBYMGscft9Zt+QYhc0bUrzJnzbDkwEPz8DBaOEEIYmiR8QgiRj9lcvs6g6Ysx0moB+Kt+bViyRGorhHiRsWOVidhTjR+v9PETQohCSBI+IYTIp0pGxzDCxxfzeGV048g3rFj69RgwMzNwZELkcxqN8sNI8+bKslYLffrAuXOGjUsIIQxAEj4hhMiHTBIS8Zw8n7J3lblK4y2K8u3sccSWLmHgyIQoIIoUgc2boXJlZfnRI+jcGaKiDBuXEELkMUn4hBAiv9Fq6T9nJdXOXQYgxUjDiqkj+beKjYEDE6KAKV8etm2D1NG/r16Fnj0hMdGwcQkhRB6ShE8IIfIZ13XbaLL7D3X5hxHunGvawIARCVGAOTjAunXP+r3+9huMHKk08xRCiEJAEj4hhMhHHH87ygfLg9XlA53fYW/PDgaMSIjXQNeuMGPGs+UVKyAgIE92nZSSnCf7yQ8K07EKUZBkaR4+IYQQr57NpWsM/GaJunzRsQ7rx3jIiJxC5IYJE5RBW777Tln+9FOwtYUOr/YHFVMjY4Ye+P6V7iO/WNbyI0OHIIRIh9TwCSFEPlA85iHDJ/lR5IkyIudd6wos+2o0yabyu5wQuUKjUWr2mjRRllNSwM0NLlwwbFxCCPGKScInhBAGZvT0KUO/WEi5iDQjcs4cS2wpGZFTiFxlbg4//gg2/w2A9OCBMnLnvXuGjUsIIV4hSfiEEMLA3PzXUuuUUsuQotGwcsoI7lSxNnBUQrymKlaErVuhaFFl+fJl6NULkpIMG5cQQrwikvAJIYQBtdy2l9Y/7lGXf/y4F2ddHA0YkRCFgJMT/N//PVv+9VelT58QQryGJOETQggDqX76Ir0XBKrLR9s05ee+nQ0XkBCFSc+eMG3as+Vvv4VVqwwXjxBCvCKS8AkhhAGUiYhm2BcLMHmqDGP+T80qBPl8IiNyCpGXvvgCPvzw2bKnJxw6ZLh4hBDiFZCETwgh8pjpkwQ8P/ej5P2HADwsXZLFMz4lybyIgSMTopDRaGDNGmVydlD68XXvDjdvGjYuIYTIRZLwCSFEXtJq6T9nBZX/ugZAsrExy78axf0KloaNS4jCysJCGcSlXDllOSICPvgA4uMNG5cQQuQSSfiEECIPtV+/ncZ7DqvLG8b051KDOgaMSAhBlSrwww9gbKwsh4XB0KGg1Ro0LCGEyA2S8AkhRB6xO3ySD5ZtVJd/69KG37u2NWBEQgjVO+/AggXPlteu1V0WQogCShI+IYTIAxX+uc3gr7/F6L8ag0sOtmwcPcDAUf1/e/cen2P9x3H8de9kzsY2QzmWQ200K4dGDo3kEKZIDi1nMaWkXwpJ5VBOc0wSCSmFIoRKa+QwGkMlJqfSNsMM2227f39c3LMcNoft2r29n4/H/di+3/u67r0vt+2+P/f1vb5fEclgwADo2TO9PWQIrFtnXh4RkTtABZ+ISDZzP3uO54dNpNDZcwCc9C7FB6NfINXVxeRkIpKBxWIsz1C/vtFOS4NOneDAAXNziYjcBhV8IiLZyJKaRs/R0/E5/DcAKQXcmPHOYBI9ipucTESuqUAB+PJLKFvWaCckQNu2kJhobi4RkVuUpYJvw4YNtGnTBl9fX5o3b87SpUtvuP3x48cZPnw4zZo1o2bNmjRp0oTRo0dz+vTpDNs1bdqUatWqZbgNGTLk1o9GRCSXafvRF9Tc/Ku9Pf9/fThSrZKJiUQkU2XKwLJlRvEHsGcPdO9unPETEXEwmY4nioqKIjQ0lP79+9OyZUs2b97MiBEjKFGiBEFB155sICYmhgsXLvDGG29QqVIljh07xptvvsmhQ4f46KOPMmzbr18/unbtam+7u7vf5iGJiOQOD27YzOOffm1vr+7Shu2P1jcxkYhkWZ06MHs2PHvpWtvly+Gtt+DNN02NJSJyszIt+ObNm0dAQAChoaEAVKlShaioKObMmXPdgi8wMJDAwEB7u3z58gwdOpQBAwZw9uxZihQpYr+vcOHCeHl53e5xiIjkKnf/HsOzY2fb27vrPcCKXh1NTCQiN617d/j1V5g0yWiPGgW1ahnr9ImIOIhMh3Tu3LmTBg0aZOhr2LAh0dHRWK3WLP+gxMRE3NzcrjqDN3/+fOrWrUubNm14//33SUpKyvJjiojkRkUTTvP865NwS04B4J/yZZgzYgA2Z102LeJwxo+HKz/g7tYNdu82L4+IyE3K9AxfXFwcpUqVytDn5eWF1WolISEBb2/vTH/IyZMnCQsLo2PHjri4pP/Irl27UqNGDUqWLMm+ffuYOHEi+/btu2rYZ1ZER0ff9D45ITIy0uwIYgI97zkvICDA7AgAOFsv0nf4FEr+Gw/A+cIFmfHuS1woUsjkZI7LUX6fbjdnbvk/nFMc5XkFcH7tNWrs20eBY8cgKYnkxx9n3/z5pJYoAdz4WPS85m357XglnSM999k+J/iZM2fo3bs3FSpUYOjQoRnu69Gjh/37atWqcdddd9GlSxf27t3Lfffdd1M/x9fXlwKXL67OJSIjI/PdH3rR857fdQr7hHt3/Q5AmsXCnBEDOVG+rMmpHJsj/D7p9/7mOdy/15o1UK8eJCVR4NgxHhgzBtasITIqyvGOJRvlp38L/d7nX7nxuU9OTr7uCbBMxxd5enoSHx+foS8uLg4XFxc8PDxuuG9CQgIhISEUL16cmTNn4ubmdsPta9WqhcVi4dChQ5nFEhHJdR5ZsZ5GKzbY28v6diK6/gMmJhKRO8bXFxYsSG9v2AD/+SBbRCQ3yrTg8/f3JyIiIkNfeHg4fn5+uLq6Xne/uLg4unfvjoeHBzNnzszS7Jv79u3DZrNpEhcRcTj3RP3G05M/sbe3BtXnu86tTUwkIndc+/YZZ+mcNImSK1eaFkdEJCsyLfhCQkLYvn0706ZN4+DBgyxcuJCVK1fSq1cv+zbr1q2jRYsWnDhxAoATJ07QtWtXChUqxFtvvcWZM2eIjY0lNjaWlBRjEoOdO3fy8ccfs3fvXo4ePcr69et56aWX8PPzy3WnSEVEbsTjRBx9h0/BOTUVgL+qVuSTob3BYjE5mYjcccOHZ5ils8K778KWLSYGEhG5sUyv4atVqxZhYWFMnjyZWbNm4ePjw6hRozIsyZCYmEhMTIx91s6IiAhiYmIAY3H1K33yySfUrVsXNzc31qxZw4wZM7hw4QJly5alWbNm9O/fHycnzWQnIo7B9UIyzw+bRLFTZwA441GMme8Mxuqeu64pFpE7xMkJ5s+HP/6APXtwSkmB4GDYvt1YsF1EJJfJ0qQtQUFB111zDyA4OJjg4ODrtq/l/vvvZ8mSJVmMKSKSC9lsdB/3IeX3HwIg1dmZWaNfJKG0p7m5RCR7FS0KK1bAQw9BQgIcP26c9fvxR8jCJSwiIjlJp9JERG7RY4tWUmfDZnt78eAQDtSsZmIiEckxVarA559juzwqacsW6N8fbDZzc4mI/IcKPhGRW+C7+VfazU4fpfBjuyDCn2h6gz1EJM8JCuLoiy+mt+fNg6lTTYsjInItKvhERG5S6cPH6fXWNJwufZL/R63qfB7azeRUIo7DmpZqdoQ75u7334eQkPSOl14ylmwQEcklsn3hdRGRvKRgYhLPvzaRgknnATjpXYrZbw0i1VV/TkWyytXJmb7hi8yOcce4dGnEy1vDqbz3AKSmktS+Le/OHk1cudJ80PAZs+OJSD6nM3wiIllkSU2j5+gZ+Bz5G4CUAm7MeGcwiR7FTU4mIma6WMCNWW8P5lSpEgAUTkzi+WETKXDuvMnJRERU8ImIZFnbOZ/j98uv9vb8//XhSLVKJiYSkdzitKeHsSSLmysA5WKO8tw7syAtzeRkIpLfqeATEcmCBzds5vGF39jbq7u0Yfuj9U1MJCK5zaH77uHTIT3tbf/w7fDWWyYmEhFRwScikqm7/zjEs2Nn29u76z3Ail4dTUwkIrnVLy0asr7j4+kdo0bhv3GbeYFEJN9TwScicgNFE07T//WJuCWnAPBP+TLMGTEAm7P+fIrItX3ZrzN7H/S1t0PenUnZA4dNTCQi+ZnesYiIXIez9SJ9h0+h1Il4AM4XLsiMd1/iQpFCJicTkdwszcWZD98M5d9ypQFwP5/M88MmUvhUosnJRCQ/UsEnInIdHacu4N5dvwOQZrEwZ8QATpQva3IqEXEE54oVYca7L0GRIgB4/R1Ln5FhOF28aHIyEclvVPCJiFxDwxUbaLx8vb29vHdHouv7m5hIRBzN35Xugk8/tber79zLk9PzzvqDIuIYVPCJiPzHPVG/0XnyfHt7W9N6rO3SxsREIuKw2rZlRc8n7c1Hv1zLw6t+NC+PiOQ7KvhERK7gcSKOvsOn4JyaCsDheysy/399wGIxOZmIOKpvu7cjsnEde/uZiR9TOXq/iYlEJD9RwSciconrhWT6vz6JYqfOAHCmRDFmvDsYq3sBk5OJiEOzWJj/v74cqVIeAFfrRfq9MYkS/8abHExE8gMVfCIiADYb3cd/SIU/DgGQ6uzM7LcGkVDa09xcIpInJBdyZ+Y7gzlb3JjEpfjJ0/R/YzKul5Z8ERHJLir4RESA5otXUmf9Znv7sxe6s/+BGiYmEgBrWqrZEbIkICDA7AjiAOLLevPBqEGkXlrHs+JvB+n63hyw2UxOJiJ5mYvZAUREzOa3aQftP1hib//Upik/tX3UxERymauTM33D88eshh80fMbsCJID/qh9P5+HdrNPDFXvuwiO3FOB9U+3MjmZiORVOsMnIvla2YNH6DVqOk6XPmH/068qn734rCZpEZFs82P7ZoS3bmxvd5i1mPu27jIvkIjkaSr4RCTfKnwqkedfm4D7+QsAxPl4MuvtF0l11eAHEclGFgufvRjCn773AuCUZqPXm1PxPvKPycFEJC9SwSci+ZKz9SL9hk/G6+9YAC4ULMCMMS+T6FHc5GQikh9cdHPlg9EvctKrJACFz56j/7AJuJ89Z3IyEclrVPCJSP5js9F50sdUjfoNgDSLhblvPM+xS1Omi4jkhDOlSjDrncGkuLkCUPav4/R5cypOFx1jsiIRcQxZKvg2bNhAmzZt8PX1pXnz5ixduvSG2x8/fpzhw4fTrFkzatasSZMmTRg9ejSnT5/OsF1KSgpjxoyhfv361KxZk5CQEA4cOHDrRyMikgVNl66l4cof7e3lvTsS1fBB8wKJSL71V/XKfPJqb3v7/q27eHJG/pioSERyRqYFX1RUFKGhoTRv3pwVK1bQvXt3RowYwfr166+7T0xMDBcuXOCNN95g5cqVvPvuu/z888+89NJLGbYbN24c33zzDWPHjuXzzz+nUKFC9OjRg6SkpNs/MhGRa7hv6y6emv6pvf1L80DWdmljYiIRye+2NQtkVfd29vajS9fQcMUGExOJSF6S6cwE8+bNIyAggNDQUACqVKlCVFQUc+bMISgo6Jr7BAYGEhgYaG+XL1+eoUOHMmDAAM6ePUuRIkU4e/YsS5YsYfTo0TRq1AiA8ePHExgYyKpVq+jYseOdOD4REbvSfx2n95tTcUozZuQ8eF8VFrzSSzNyiojpvunRAZ+/jhGwcRsAnSfP59+7fPg94H6Tk4mIo8v0DN/OnTtp0KBBhr6GDRsSHR2N1WrN8g9KTEzEzc0Nd3d3AHbv3o3Vas1QGBYpUoTatWuzY8eOLD+uiEhWFDpzlgH/e59ClyZEOOlVkpnvvMTFAm4mJxMRAZuTE/OG9eOvqhUBcE5Npe+IKZq5U0RuW6Zn+OLi4ihVqlSGPi8vL6xWKwkJCXh7e2f6Q06ePElYWBgdO3bExcXF/rgWi+Wqx/b09CQ2NvZmjgGA6Ojom94nJ0RGRpodQUyg5z3nBQQEXPc+p4sX6TMyjNLHTgCQ7G7MyHmmVImciicikqmUgu7MePclXus7ghLxpyicmMSA/73PuFmjOFe0sNnxsiS/vf7lt+OVdI703Gf7YlNnzpyhd+/eVKhQgaFDh2bbz/H19aVAgQLZ9vi3IjIy8oZvQiVv0vOe+3Sc+ik1IvfY2/OG9eXIpU/RRURyk1PepZjx7ksMCR2NW4oVnyN/03tkGFPHv0KaS+5fIzQ/vf7p9T7/yo3PfXJy8nVPgGU6pNPT05P4+PgMfXFxcbi4uODh4XHDfRMSEggJCaF48eLMnDkTN7f0oVOenp7YbLarHjs+Ph4vL6/MYomIZMkjy9fTZNk6e/vrHh3Y0biuiYlERG7srxpVmDesn7193/ZoOk799AZ7iIhcX6YFn7+/PxERERn6wsPD8fPzw9XV9br7xcXF0b17dzw8PJg5c6b92r3LLu+/adMme19SUhI7duygdu3aN3scIiJXqR4ZzdNT5tvb25rWY9Wz7U1MJCKSNZFN6/HNc8H2dpNl62j81XcmJhIRR5VpwRcSEsL27duZNm0aBw8eZOHChaxcuZJevXrZt1m3bh0tWrTgxAnj+pgTJ07QtWtXChUqxFtvvcWZM2eIjY0lNjaWlJQUwJigpVOnTrz//vv89NNP/PbbbwwdOpTixYvTqlWrbDpcEckvfA4do+/wKTinpgFwqHpl5v+vj2bkFBGHsTIkmG1N69nbHacuoMa23SYmEhFHlOlg8Fq1ahEWFsbkyZOZNWsWPj4+jBo1KsOSDImJicTExNhn7YyIiCAmJgaApk2bZni8Tz75hLp1jeFUr776Ks7OzgwdOpRz587h7+/P3LlzKVzYMS5MFpHcqcipMwx89T37jJwJnh7MfGcwVvfcdZ2viMgNWSzMf60vnsf/pdJvB3FOTaPPyDDGzhzFiQplzU4nIg4iS1f/BgUFXXfNPYDg4GCCg4Ov274eNzc3hg0bxrBhw7ISQ0QkUy7JKfQfNhGvv43ZfpPdCzB9zMuc8ippcjIRkZtnLeDGjHdfYljf4XjEJlDo7DkG/O99xn7wFueKFTE7nog4gEyHdIqIOAybjWfHzuae6P0ApFkszBkxgCPVKpkcTETk1p3x9GD6mCEkXxqlUPrYCfq9MRln60WTk4mII1DBJyJ5Rpu5X1Jnw2Z7e+mALuxqkLumTRYRuRVHqlbk49f729vVft1Ht/Efgs1mYioRcQQq+EQkb/jkE1rPX2Zv/tguiA1PtTAxkIjInbWz0UN81aeTvV1/7c+0nveViYlExBGo4BMRx/fTT3DFzMHRdWuyZFB3zcgpInnO2i5tCG/d2N5u8/FX1F0bbl4gEcn1VPCJiGPbvx/at4dLswQfq3QXH74ZSpqLs8nBRESygcXCopeeY89Dfvau7uM+pOrOvSaGEpHcTAWfiDiu+Hho2RJOngTgdMniTBs3hAuFC5kcTEQk+6S5uDB71CCOVboLAJeLqfR7fRI+h46ZnExEciMVfCLimJKTjTN7f/5ptAsWZPqYlznp42VuLhGRHHChSCGmjn+F0yVLAFD47DkGvvoeRRNOm5xMRHIbFXwi4nhsNuOavfBL161YLPDpp/xVo4q5uUREclBCaU+mjhvChYLGcg1ef8fy/GsTcE1OMTmZiOQmKvhExPG88QZ8+ml6e9w4CA42L4+IiEmOVKvEnJEDSXMyJqmqvPcAz709A0tamsnJRCS3UMEnIo5l1ix49930dp8+MGSIeXlEREy2++HaLAntbm8HbNxG8KzPTEwkIrmJCj4RcRzffAMDBqS3W7WC6dO1/IKI5Hs/dmjO+ivWHm3+2SoaLVtnYiIRyS1U8ImIY9i6FTp1gsvDlB58EJYsARcXc3OJiOQSS5/vwq8NAuztp6fMp1b4dhMTiUhuoIJPRHK/P/+E1q3h/HmjXbkyrFwJhQubm0tEJBexOTvx0fDnialeGQCnNBu9Rk2jyu7fTU4mImZSwSciuVtsLDz+uPEVoFQpWL0aSpc2N5eISC6UUtCd6eOG8G8542+kW4qVAf+boDX6RPIxFXwiknudOwdPPJG+1p67u3EdX9Wq5uYSEcnFEj2KM+X9VzlTohgAhROTGPTKOIrHJZicTETMoIJPRHKn1FR45hn45RejbbHAokVQv765uUREHEBcudJMG/+KfY2+UifiCX1lPO5nz5mcTERymgo+Ecl9bDZ4/nlYsSK9LywM2rc3L5OIiIP5q3plZr/1AqnOzgDcfeAwz78+EZcUq8nJRCQnqeATkdxnxAiYPTu9PWQIDBxoXh4REQe1p24tPhnay96utnMfz70zUwuzi+QjKvhEJHcJC4O3305vd+sG48aZl0dExMH98vgjLOvT0d5+8IctPDl9oTGaQkTyPBV8IpJ7LFoEL7yQ3m7ZEj76CJz0p0pE5Has6fIEPwQ3t7eDvlhD88UrTUwkIjlF76JEJHdYswaefTa9/fDD8MUX4OpqXiYRkbzCYmFJaDciG9exd3WY9RkNvvnexFAikhOyVPBt2LCBNm3a4OvrS/PmzVm6dGmm+8ycOZOnn36aWrVq4efnd81tunXrRrVq1TLcOnfufHNHICKO75dfoEMHuHjRaN9/v7H8QqFC5uYSEclDbM5OzH29P7/717D3dXl/LrV/2GJiKhHJbpkWfFFRUYSGhtK8eXNWrFhB9+7dGTFiBOvXr7/hflarlRYtWmRawLVr146ff/7Zfps5c+bNHYGIOLa9e6FVK2PNPYAKFWDtWihZ0txcIiJ50MUCbsx49yX+qlYJACebjZ6jp1Nj6y6Tk4lIdsm04Js3bx4BAQGEhoZSpUoVunbtSqtWrZgzZ84N9xs0aBAhISFUzWSB5AIFCuDl5WW/lShR4uaOQEQc1+HD8NhjcPKk0fb0hO++g3LlzM0lIpKHXShciLD3hvJP+TIAuFxMpf8bk6kcvd/kZCKSHTIt+Hbu3EmDBg0y9DVs2JDo6Gis1ttfx2Xt2rXUq1ePFi1aMHLkSE5efuMnInnbv/9C8+Zw9KjRLlIEVq+GTD4kEhGR23e2RDEmT3iNk96lAChwIZmBQ8dT9sBhk5OJyJ3mktkGcXFxlCpVKkOfl5cXVquVhIQEvL29b/mHt27dGh8fH8qUKcOhQ4eYNGkSzz77LF9++SVubm439VjR0dG3nCM7RUZGmh1BTKDn/cacT5+mar9+FNpvfJqc5urKn+PHk2ixwC3+2wUEBNzJiCIieV5C6VJMnvg/hgwcTbFTZyh89hwvvjyO8TNGElf21t7f5bfXv/x2vJLOkZ77TAu+7NSpUyf791WrVuX+++8nKCiIjRs30qxZs5t6LF9fXwoUKHCnI96WyMhIvQnNh/S8ZyIxEYKC4FKxh5MTTosXU7VDB3NziYjkQyfKlyXsvaG8/OI7FEw6T/GTp3hx8Lu8N30kpz09bvrx8tPrn17v86/c+NwnJydf9wRYpkM6PT09iY+Pz9AXFxeHi4sLHh43/4fgRsqVK4e3tzcxMTF39HFFJJc4dw5at4atW9P75s0zZugUERFTHKlWieljXibFzVgGx+vvWF54eSyFTyeanExE7oRMCz5/f38iIiIy9IWHh+Pn54frHV4f699//yU2Nva2homKSC6VnGwUdj/9lN43cyZ062ZeJhERAWD/AzWY/dYgUp2Nt4blYo7ywstjKZiYZHIyEbldmRZ8ISEhbN++nWnTpnHw4EEWLlzIypUr6dWrl32bdevW0aJFC06cOGHvO378OPv27eP48ePYbDb27dvHvn37OHXqFACHDx9m2rRp7Nq1i2PHjhEREUG/fv3w8fG56eGcIpLLXbwInTsbi6tf9t570K+feZlERCSD3Q/X5uNh/UizWACo8MchBr0yDvekcyYnE5Hbkek1fLVq1SIsLIzJkycza9YsfHx8GDVqFEFBQfZtEhMTiYmJyTBrZ1hYGMuWLbO327VrB8CYMWMIDg7G1dWVLVu2sGDBApKSkvD29ubhhx8mNDSUwoUL38ljFBEzpaVBSAhc8feAkSNhyBDTIomIyLVtaxaIa4qVZ8d9CEDlvQcY+Or7TB0/lORC7ianE5FbkaVJW4KCgjIUeP8VHBxMcHBwhr6xY8cyduzY6+5TpkwZFixYkMWYIuKQbDbo3x8WLkzve/llo+ATEZFcaVOrxrhYL9Jl4scA3Lvrd55/bQLTxr+CtcDNzaIuIubLdEiniMgtsdlg8GCYPTu9r18/YyjnpeFCIiKSO/3ULojPB3a1t6vv3Ev/1yfhkpxiYioRuRUq+ETkzrtc7E2Zkt7XrRtMn65iT0TEQWzo+Dhf9X3a3r5/6y76jJyKs/WiialE5Gap4BORO+taxd5TT8HcueCkPzkiIo5kbZc2fPNc+mU7tTbtoOdb03C6mGpiKhG5GXr3JSJ3zvWKvYULwSVLlwyLiEguszIkmNVdn7C3AzZuo8fbM1T0iTgIFXwicmfcqNi7w2t2iohIDrJYWN67I+s7Pm7veuj7X+g1aipOFzW8UyS3U8EnIrfPZoOXXlKxJyKSV1ksfDGgCz8EN7d3BWzcpmv6RByACj4RuT2Xi73Jk9P7nnxSxZ6ISF5jsfDZC91Z/1QLe5d/+Hb6DZ+MS4r1BjuKiJlU8InkYda0bL6+4nrF3qJFKvZERPIii4UvBnZlbedW9q6am3bS7/VJcOGCicFyljUtlYCAALNj5Ihsfy8h2U6zKIjkYa5OzvQNX5Qtj21JS+PpyfNpvHy9vS+ycR3mPN/YyOlBAAAgAElEQVSGtF++yJafeSMfNHwmx3+miEi+ZLHwVb/OpLq40HLBCgD8tkTBE0/A8uVQqJDJAbNfdr6+5jZ6fXV8OsMnIjfN6WIq3cfOzljsNXqIOSMGkKbZOEVE8j6LhRW9nuKbkPQlG1i3Dlq3hqQk83KJyFVU8InITXG2XqTn6Ok8vCbc3rcl6GHmjByoYk9EJD+xWFjZowMrej6Z3vfDD9CyJSQmmpdLRDJQwSciWeaSnEK/4ZN58Ict9r7w1o35+PX+KvZERPKpb59tz1d9n07v+OknCAqC+HjzQomInQo+EckSt/MXGPDaBGpu2mnv29DhMRYO6YnNWX9KRETys7Vd2sCECekdW7dCo0Zw/Lh5oUQEUMEnIllQMDGJQa+M577t0fa+1V2f4PNB3bA56c+IiIhgzNo8cyZYLEZ7zx5o2BAOHjQ3l0g+p3dqInJDxeISeHnQ29y763d73/JeT7G8T6f0F3URERGAfv2MdVgvD/M/eBAaNDCKPxExhQo+Ebkuz2MnGDrwLe4+cNje9/nArqzu3s7EVCIikqt17mwsz+DubrT//hseecQY5ikiOU4Fn4hc091/HGLogFF4Hf8XgFRnJ+a91ocNHR83OZmIiOR6rVrBmjVQtKjRPnkSHn0U1q+/8X4icsep4BORq1TduZeXX3ib4idPA5Di5sqstwez+fFGJicTERGH0agRfP89lCpltM+eNZZsWLjQ3Fwi+YwKPhHJ4IGftjHolfEUTDoPwLkihZg88TV2BdY2OZmIiDicBx+E8HAoV85oW63QtSu89x7YbOZmE8knVPCJiN0jy9fTd8QUXFOsAJwqVYL3pw7nQM1qJicTERGHVaMGbN4M99+f3jd0KAweDGlp5uUSySdU8IkIlrQ0gmcuosvEj3FKMz5xPXGXD+Onj+RYlfImpxMREYd3993Gmb5HHknvmzLFmODlwgXzconkAyr4RPI5l+QUeo2axmOLV9n7DlWvzHvTRxBf1tvEZCIikqd4eMDatdChQ3rf559DixZw6pR5uUTyuCwVfBs2bKBNmzb4+vrSvHlzli5dmuk+M2fO5Omnn6ZWrVr4+fldcxubzcbMmTNp1KgRfn5+PPXUU+zcufPmjkBEblnh04kMfmkMD/6wxd73a2BtJkx5nUSP4iYmExGRPMndHZYsgYED0/s2boSHH9YC7SLZJNOCLyoqitDQUJo3b86KFSvo3r07I0aMYH0m0+parVZatGhB586dr7vNxx9/zOzZsxk6dCjLli2jevXq9OzZk3/++efmj0REbornsRO82v9N7tn9h73v+w7NmfX2YFIKupuYTERE8jRnZwgLg3Hj0vv27YO6dSEiwrxcInlUpgXfvHnzCAgIIDQ0lCpVqtC1a1datWrFnDlzbrjfoEGDCAkJoWrVqte832azMXfuXHr27EmrVq245557eOuttyhevDiLFy++taMRkSypvPsP/tdvJKWPGh+upFksfD6wK0sGdcfmrJHeIiKSzSwWY+KWRYugQAGjLy4OmjY1+kTkjnHJbIOdO3dedZauYcOGDBs2DKvViqur6y394KNHjxIbG0tgYKC9z2KxEBgYyI4dO2768aKjo28pR3aLjIw0O4KYILc87wEBAVf11V+9kS7vz8XVehEw1tib+8bz7GxcJ6fjiYhIHnPTr39Vq1J4xgyqDBmCa0ICpKRAly4c37iRv3v3NgrDXOhar695WW55X5ObONK/SaYFX1xcHKUuL5h5iZeXF1arlYSEBLy9b21Sh9jYWAA8PT0z9Ht6erJt27abfjxfX18KXP6EKJeIjIzMd38QJPc+75bUNIJnLab5km/tfYnFizJjzMsc9L3XxGQiIpJX3NLrX0AANGkCrVvD3r0AlJ09m7Jnz8JHHxnX/YmpcuP7GjPlxvd6ycnJ1z0BprFbIvmA+9lzDHhtQoZi72jluxkze7SKPRERMV+lSrBpEzRrlt63aBE0bgzHj5sWSyQvyLTg8/T0JD4+PkNfXFwcLi4ueHh43PIP9vLysj/WleLj42/5rKGIXM2YnGUkfr/8au/7NbA242eMJL6Ml4nJRERErlC8OKxaBf36pfdt2WKcAdy82bxcIg4u04LP39+fiP/MmBQeHo6fn98tX78HcNddd+Hl5ZXhsW02GxEREdSuXfuWH1dErrBhA6/1HUHZv9I/HV3d9QlmvTOY5EIFTQwmIiJyDa6uMGOGsSi7s7PR988/0KgRZDJhoIhcW6YFX0hICNu3b2fatGkcPHiQhQsXsnLlSnr16mXfZt26dbRo0YITJ07Y+44fP86+ffs4fvw4NpuNffv2sW/fPk5dWljTYrHQo0cPPvroI7799lv+/PNPRo4cyalTp3j66aez4VBF8hGbDcaOhebNKXLmLABWN1c+euN5lvfphM1Jo7lFRCSXslhg0CD47ju4PI+E1Qq9e8PzzxsTu4hIlmU6aUutWrUICwtj8uTJzJo1Cx8fH0aNGkVQUJB9m8TERGJiYrBarfa+sLAwli1bZm+3a9cOgDFjxhAcHAzAc889R3JyMmPHjuXkyZNUr16dOXPmUKZMmTt2gCL5zpkzEBICV/z+nS5ZghnvDubQffeYl0tERORmNG0K27dDu3YQFWX0zZwJu3fD0qVQurS5+UQcRKYFH0BQUFCGAu+/goOD7UXcZWPHjmXs2LE3fFyLxUL//v3p379/VmKISGb27oXgYPj9d3vX/prVmP1mKGc8b/2aWxEREVNUrGgsxt6zJyxZYvT9/DP4+xvthg1NjSfiCDSuSySv+OILqFMnQ7HHoEFMnDxMxZ6IiDiuwoVh8WLjUoXL6/L9/bexlMP48cZlDCJyXSr4RBxdSgq89BJ07AhJSUZfwYKwcCFMmUKaS5ZO5IuIiOReFgu8+iqsXp1+XV9qqtHXrh0kJJibTyQXU8En4sgOHIDAQJg0Kb2vShX45Rd45hnzcomIiGSHxx6DnTuhfv30vq+/htq1ITLSvFwiuZgKPhFH9fnnxgvc9u3pfU88YbRr1jQvl4iISHa6+27YuBEGD07vO3QIHn4Ypk/XEE+R/1DBJ+Jozp83FqXt1MmYkROMdYsmTYLly6FECXPziYiIZDdXV5g4Eb78EooVM/pSUmDgQGOIZ1ycuflEchEVfCKOZO9eqFsXPvggva9yZdi0CV58Mf1idhERkfwgONgYyvnAA+l9X39tjHRZv968XCK5iAo+EUeQlgZhYRAQYKw/dFnHjrBjBzz4oHnZREREzHTPPbB5M7zwQnrf339Ds2bwyitaqF3yPRV8IrndsWPQooXxQnbhgtHn7m6c5fvsMyhe3Nx8IiIiZnN3h8mTYdUq8PZO73//fWOClyuXLBLJZ1TwieRmn38Ofn6wbl16X61asG0b9OmjIZwiIiJXatkSdu0yPii9bMcOY6H2KVOMETMi+YwKPpHc6NQp6NrVmJjl8tpCFgsMHQpbtoCvr7n5REREcqvSpY0zfZMmgZub0Xf+vHGte9OmcPCguflEcpgKPpHcZuVKo6BbuDC9r0IF+PFHGDcOChQwLZqIiIhDcHIyCrytW42RMpdt3GhM6DJrlpZvkHxDBZ9IbhEXZ5zVa9PGuG7vsmefNYanPPKIedlEREQc0eXLIF5/HZydjb6kJOjfH5o3h8OHzc0nkgNU8ImYzWaDL76A++7LeFbP2xuWLoV589LXGBIREZGbU6AAvP22MZNnjRrp/evXGyNqpk2D1FTz8olkMxV8Imb65x/o0MFYXiE2Nr2/a1djzb0OHczLJiIikpc89JAxgcuQIemTniUmQmgoNGiQcdkjkTxEBZ+IGVJTYfp0qF4dli1L7y9XzriGb8ECKFXKvHwiIiJ5kbs7vPcehIdDtWrp/b/8ArVrG0M/z583L59INlDBJ/mONS17h20EBATceIPt26FuXRg4EE6fTu/v3Rv27IFWrbI1n4iISHbI7tfXOyowEKKiYORIcHU1+i5ehHffNSZ12bDB3Hwid5CL2QFEcpqrkzN9wxfl+M8tmJhEuw8/55EVG3C6YmawE+VKs2hID34L8IVdq+7oz/yg4TN39PFERESux6zX19vyaFV8qrxD1/c/4t5dlxZn//NPCApie5O6LH2+Cwmlrx5xo9dXcSQq+ESymSUtjTrrInhyxiKKJZyx91vdXFnd9QnWdm7NxQJuJiYUERHJv/6pWI4JYW/QYOWPBM9aTKGz5wB48Ict+G3+ldXd2rKuU0suurmanFTk1qjgE8lGlfbsp+PUBVTeeyBDf3Tdmix+MYS4cqVNSiYiIiKX2ZycCH+iKVEP+/PUjIXUWb8ZgAIXkmn34ec8/O1GlgzqRnR9f5OTitw8FXwi2cDjRDztP/iMuus3ZehP8PJgSWh3djZ6KH2GMBEREckVznh68NGIgfz0xKN0mvIJdx8w1unzPnaC0FffZ3e9B1j6/DPQ0OSgIjdBBZ/IHeR2/gKPLV5J88WrcEtOsfdbXV1Y3/FxVndrS3KhgiYmFBERkczsf6AG7374No98vYEn5nxB4UvDPP1++ZX7tu2CiAMUa1GTM6VKmJxUJHNZKvg2bNjA5MmTiYmJoWzZsvTp04cnn3zyhvukpKQwYcIEvv76a5KSkqhduzbDhw+nSpUq9m26devG1q1bM+xXu3ZtFi9efAuHImIep4sXCfz2J1rN+wqPuIQM90U2rsOX/ToTX9bbpHQiIiJys9JcnPkxuDnbm9aj3YefE7jyR5xsNpxT0+CDDxj9SQG+69yadZ1aklLQ3ey4IteVacEXFRVFaGgo/fv3p2XLlmzevJkRI0ZQokQJgoKCrrvfuHHjWL16NWPHjqV06dKEhYXRo0cPvv32WwoXLmzfrl27dgwZMsTednXVBbHiOCxpadT+cStt53xB6aP/ZLjv8L0V+Ty0K/sfqGFSOhEREbldZ0sU49NXerGxbRAdZi6iRuQeANzPJ/PE3C9ptHwDX/fswKbHG5Hm4mxyWpGrZVrwzZs3j4CAAEJDQwGoUqUKUVFRzJkz57oF39mzZ1myZAmjR4+mUaNGAIwfP57AwEBWrVpFx44d7dsWKFAALy+vO3EsIjnHZqPGtt20n72ECn8cynDX6ZIlWN77KTa3eASbs5a6FBERyQuOVK3I5Imvcf+WKAZ9shqiowEofvIU3d77iOaLVrLquWC2PvqwXv8lV8n0f+POnTtp0KBBhr6GDRsSHR2N1Wq95j67d+/GarUSGBho7ytSpAi1a9dmx44dGbZdu3Yt9erVo0WLFowcOZKTJ0/eynGI5Jh7f93HSy++w4tDxmUo9pKKFOKrPp14Y/EENrVqrD/2IiIieY3Fwp56D8Cvv/LJ0N6cuuIavtLHTtDj7ZmMCHmVgO9/wZKWZmJQkXSZnuGLi4ujVKmMC056eXlhtVpJSEjA2/vq65Li4uKwWCxX7efp6UlsbKy93bp1a3x8fChTpgyHDh1i0qRJPPvss3z55Ze4ud3cumTRlz5lyW0iIyPNjiD/ERAQcPM72WxU37GHVvOWUTXqtwx3pRRwY8OTj/HdM204V7TwdR5ARERE8gxnZyJaN2bbo/V4dOlami1eaZ/Ypexfx+nz5lSOVCnPNz06sCuwNjYnx/4QWO9nr+ZI/yamztLZqVMn+/dVq1bl/vvvJygoiI0bN9KsWbObeixfX18KFChwpyPelsjIyFsrLiT3sNm4b9tuWs37inui92e4K9XZiZ9bN2HVs+057elhUkARERExS0pBd1Z3a8uP7YII+mI1j36+moLnLgBw94HDPP/6JI5VuovVXZ8gskk9h73GT+9nM8qN7/GTk5OvewIs04LP09OT+Pj4DH1xcXG4uLjg4XHtN7menp7YbDbi4+MznAH8b/u/ypUrh7e3NzExMZnFEslWltQ0Hvg5kscWfUOlfRkXTU91dmbT4w1Z07UtcZp5U0REJN87X7Qw3/R4kg1PtqD5Z6to8uVa3M8nA1Au5ii9Rs+g7UdL+a5zKza1eISLBW5uJJvI7cj0/LK/vz8REREZ+sLDw/Hz87vujJqX79u0KX3R6aSkJHbs2EHt2rWv+7P+/fdfYmNjb1gUimQn1wvJPLJ8PaO6DqHf8MkZir2LLs5sbPsobyyewKdDe6vYExERkQzOFSvC8j6deOOzSXz3dCsuFEwffeZ1/F+6TPiYdzsNpvmib3C/NARUJLtleoYvJCSEzp07M23aNPuyDCtXriQsLMy+zbp165gwYQLz58+ndOnSFClShE6dOvH+++9TsmRJvL29mTp1KsWLF6dVq1YAHD58mK+//ppHHnmEUqVKcejQISZMmICPj89ND+cUuV1FTp2h8VfraLxsHUVPJ2a4z+rqws+tm7D2mTYklC51nUcQERERMSR6FOfL559hddcnaPLVdzRdupYiZ84CxqyeHWZ9Rqv5y9nU8hG+7/AYsXf5mJxY8rJMC75atWoRFhbG5MmTmTVrFj4+PowaNSrDkgyJiYnExMRkmLXz1VdfxdnZmaFDh3Lu3Dn8/f2ZO3eufQ0+V1dXtmzZwoIFC0hKSsLb25uHH36Y0NDQDOv0iWSnu3+PofGyddRZvwm3lIyzziYVKcTG9s34oX0zzugaPREREblJ54oVYVVIMOs7tqTByh9otmQVHrEJALifv0DTL7+j8Vfr2PWwPxueasEf/veBxWJyaslrsjRpS1BQ0A0XWQ8ODiY4ODhDn5ubG8OGDWPYsGHX3KdMmTIsWLDgJqKK3CHJydT5LoLGy9ZRZc/+q+6O8/FkfcfH2dSyMcmF3E0IKCIiInlJciF3NnR8nI3tgqj7XQSPfrGacjFHAXCy2XggYgcPROzgSJXybGzfjK1B9UkuVNDk1JJXmDpLp0iOOnQIPvoIZs+m57//XnX3X9Uq8d3TrdjRqI7DzqIlIiIiuddFN1ciWjcmolUjamyP5tEv1uD3y6/2++8+cJiu73/Ek9MXsqXZw4Q/8ShHqlY0L7DkCSr4JG+7cAGWLzcKvQ0bwGbLcPdFF2cim9Tjh+BmxNx3j4ZRiIiISPazWNj3kB/7HvKj9OHjNF26lvprwilwwZjZ0/38BRp9/T2Nvv6emOqVCX/iUbY3raeRR3JLVPBJ3hQVZRR5n34KCQlX3X3SqyQ/tX2Un1s3IbFkcRMCioiIiMCJ8mVZ/NJzrOjdkXprwmn49QbK/nXcfn+l3w5S6beDdJz6CTsfqcPmFg35w7+Gwy/mLjlHBZ/kHYcPw+LFsHAh7N599f0WCzz2GPTuzeseSRq2KSIiIrnGuaKF+f6pFnz/5GPcG/UbDb/+ntobt+JqvQiA+/lk6q8Np/7acOJLl2JL8wZsbtGQf+8uY3Jyye1U8IljO3kSli41iryffrr2NhUrQo8eEBICd98NQFr4ohyLKCIiIpJlFgv7H6jB/gdqsORUd+qv+YnAbzdS9tAx+yalTsTTcsEKWi5YwaHqlYlsUpfIxnWJL+NlYnDJrVTwieOJjYUVK+Crr2D9erBar96mYEFo1w569oQmTUDDHkRERMTBJJUoyvqnW7G+U0sq/B5D/TXhPLRhE0VOn7VvU/G3g1T87SAdZi4mpkYVtjepS2STuiSU9jQxueQmKvjEMRw5Yky+8tVXxpm8tLSrt3FygmbNoEsXo9grWjTnc4qIiIjcaRYLf1WvzF/VK/PFgC74/vIr9deE47d5Jy4XU+2bVdp3gEr7DvDUjEUcvP8eIhvXJSqwthZ2z+dU8EnuZLPBrl3w7bdGobd16/W3rVPHKPI6dYLSpXMuo4iIiEgOS3V1Iarhg0Q1fJBCiUnU+nk7AT9s5b5tu3FOTS/+Ku/5k8p7/uSp6Qv5u3xZdj/sz66H/TngW1XzGOQzKvgk9zh92hiiuXo1rFkDx45dezuLBRo0gOBgaN8eKlTI2ZwiIiIiucC5ooXZ/HgjNj/eiEJnzvLAz5EE/PALNbbvyVD8lTl8nDKHj9P8s1UkFS1MdN1a7Aqszd46NTlXtLCJRyA5QQWfmCc11Vg+Yd06o8iLiICLF6+9rYsLNG1qFHnt2ulMnoiIiMgVzhUrwqaWjdjUshGFTyfyQHgktX6OpEZkNG7JKfbtCicmUXf9Juqu30Sak4W/qlbitwd92RfgywHfe7lYwM3Eo5DsoIJPck5aGkRHww8/GLeNG+HUqetv7+EBzZtDq1bQurXRFhEREZEbSipelIjWjYlo3RjX5BSq7dhDzYgd1Ny8E4/Y9PWJndJs9nX+Hv/0a1LcXPmzZjX2XSoAj96jUVR5gQo+yT4XLxrr4UVEpBd48fE33icgAB5/3LjVqWOc2RMRERGRW2It4EZ0fX+i6/uzyGbj7v1/UXPTDvw2/0qF3w/ilGazb+uWYuW+7dHctz0agPOFC0LDhcalNA0bwkMPGTOhi0PRu2m5c+LiYPPm9Nu2bZCUdON9fHyMZRMeewxatNBQTREREZHsYrFwpGpFjlStyKqQYAolJlF1515qbI+meuQefI78nWHzgknnjXkV1qwxOlxd4cEHjQIwMNAoAMuWNeFA5Gao4JNbk5gIO3fCjh0QGQlbtsD+/Znv5+UFjRsbRV6TJlCtmjEJi4iIiIjkqHNFC/PrIw/x6yMPAeBxIo4akXuovj2aajv3UiL+P5feWK3pH+y/957RV7asUfg99JAxOuvBB3UZTi6jgk8yFxdnDM2MjEwv8PbvN5ZOyMzdd0P9+sYnQU2awP33q8ATERERyYUSSnvaJ37BZsPz71jeSS4JP/8M4eHw229X73T8OKxYYdwuu+ce8PeHmjXTbxUq6D2gSVTwSbrTp2HPHuMWHZ3+9cSJrO3v6mpcg1e/fvrtrruyN7OIiIiI3HkWC3FlvaHhM9C9u9EXGwubNhnF39atxkmAc+eu3vfPP43bF1+k9xUrBn5+RvF3+ev990OJEjlzPPmYCr78JjUVDh82ztDt32/8Mv72m1HYHT2a9cdxdob77jMKvNq107+6u2dfdhERERExj5cXtG1r3MCYoG/fPmPehsu3XbuMoZ//deaMMZFfRETGfm9v4xKf/94qVTJOJshtU8GXF507ZxR1hw/DwYPpxd3+/UY7JSXzx7hSwYJGcefvn17c+flpliYRERGR/MzFxXhP6OcHPXoYfRcuGJcC7d5tFH+7dhnrLp88ee3H+Pdf4xYefvVjV6kC995rFH//vRUrlr3Hloeo4HM0NpvxC/PXX8bt8OGrv4+NvbXHdnOD6tWN0+u+vulfK1Y0zuiJiIiIiNyIu3v6JC6X2Wzw99/pBeDl2x9/QHLytR/n4kX4/Xfjdi0lS6YXfxUrQrly6be77oIyZXSG8BIVfLlFaqrx6cbff1/79s8/6V+v94uRVaVLG5+WXHnz9TUusNW6dyIiIiJyJ1ksxmyeZcsay3BddvlSo8uF3ZW3Y8du/JgnTxq3yMjr/0xvb6P4u7IYLFPG6L/yVqjQnTvWXEjv7rNLYiIF/vrLKM7i4q6+xcdnbCckZG3Wy6xwcTH+c1eoYNyuLOzuuUenwEVERETEfM7O6WfpriwEAc6eNc4AHjgAMTEZb4cOZX6Jks1mTDx44sT1i8LLihS5ugj09oZSpYwziaVKpX/vgGtGZ6ng27BhA5MnTyYmJoayZcvSp08fnnzyyRvuk5KSwoQJE/j6669JSkqidu3aDB8+nCpVqti3sdlszJo1i88++4yTJ09SvXp1hg0bhr+//+0dldlmzYIXX8T3ds/EXU/RolC+vFHMXf565fdlymgIpoiIiIg4riJFjLkjate++r60NGPk2+UC8MgR44zg0aPG12PHjEIvqydTzp41bgcPZr6tkxPlunaF+fNv7nhMlGnBFxUVRWhoKP3796dly5Zs3ryZESNGUKJECYKCgq6737hx41i9ejVjx46ldOnShIWF0aNHD7799lsKFy4MwMcff8zs2bN5++23qVatGvPnz6dnz558++23+Pj43LmjzGnz59/asEtPT6NYu/Lm43N136V/PxERERGRfMfJKX2IZoMG197GajWKwssF4OVi8PIkMVfebmZCw7Q0PFesMIpJB1lXMNOCb968eQQEBBAaGgpAlSpViIqKYs6cOdct+M6ePcuSJUsYPXo0jRo1AmD8+PEEBgayatUqOnbsiM1mY+7cufTs2ZNWrVoB8NZbb/Hzzz+zePFiBg8efKeOMee99hoMG8aFM2dwL1vWKOSuvJUqdXWfh4eunxMRERERuRNcXY3Rb+XL33g7m81YMuJy8XfiRPr3J08al2Fd/hofDzYbx556igoOUuxBFgq+nTt30rlz5wx9DRs2ZNiwYVitVlyvMfvN7t27sVqtBAYG2vuKFClC7dq12bFjBx07duTo0aPExsZm2MZisRAYGMiOHTuyfAC2S6dqU252qYHs9Nhj8Nhj7ImOxtfXN2v7pKYaN8kRRSz5o7hOTk7WseZBOta8SceaN+lY86b8dqx5nrt71orDS+Kio/HJZf8ul2sh2zWGsWb6PzUuLo5SpUpl6PPy8sJqtZKQkIC3t/c197FYLFft5+npSeylJQMuf/X09Lxqm23btmUWy856aWHHP/74I8v75KTo6GizI8g1PFOwSuYb5QHR0dE61jxIx5o36VjzJh1r3pTfjlWullv/XaxWK+7u7hn6HP6jicKFC1O1alVcXV2xONCpVRERERERkTvBZrNhtVrtc6VcKdOCz9PTk/j4+Ax9cXFxuLi44OHhcd19bDYb8fHxGc4AXtn28vKyP9bdd999zW2ywsnJiaJFi2Z5exERERERkbzmv2f2LnPKbEd/f38iIiIy9IWHh+Pn53fN6/cA+32bNm2y9yUlJbFjxw5qX5pa9a677sLLyyvDY9tsNiIiIuzbiIiIiIiIyK1zfvPNN9+80QZlypRh6tSp2Gw2PD09+fbbb/noo494/fXXqVy5MgDr1q1jwIABNGvWjCJFiuDm5kZ8fDwLFizgnmtgMbYAAAUNSURBVHvu4fz587zzzjucOXOGUaNG4ebmZh9+OWvWLMqXL4/FYmHKlCns2rWLMWPG6KydiIiIiIjIbcp0SGetWrUICwtj8uTJzJo1Cx8fH0aNGpVhSYbExERiYmLsE6gAvPrqqzg7OzN06FDOnTuHv78/c+fOzTCu9LnnniM5OZmxY8faF16fM2cOZcqUucOHKSIiIiIikv9YbNeau1NEREREREQcXqbX8ImIiIiIiIhjUsEnIiIiIiKSR6ngExERERERyaNU8ImIiIiIiORRKvhywJIlS2jbti0BAQH4+/vTtm1bli1bZnYsyWYffvghTz31FAEBAdSpU4eQkBB27txpdizJAdu2baNfv340aNCAatWqsWrVKrMjSTbZsGEDbdq0wdfXl+bNm7N06VKzI0kO0O94/qTX9fzL0d/LZ7osg9w+b29vXnjhBSpWrIiLiws//PADr7/+OsWLF6dp06Zmx5NssnXrVjp27Iifnx+urq7MmTOHHj16sHz5cipUqGB2PMlG586do1q1anTo0IGBAweaHUeySVRUFKGhofTv35+WLVuyefNmRowYQYkSJTIsXSR5j37H8ye9rudfjv5eXssymKR9+/bUq1ePV1991ewokkPS0tKoX78+AwcOpFu3bmbHkRxSrVo1Jk6cSKtWrcyOInfY4MGDiYuLY8GCBfa+V155hSNHjvDZZ5+ZmExykn7H8y+9rudvjvReXkM6c1haWhoRERHExMRQt25ds+NIDkpOTiYlJYVixYqZHUVE7oCdO3fSoEGDDH0NGzYkOjoaq9VqUioRySl6Xc+fHPG9vIZ05pDjx4/TqlUrUlJScHZ2ZsSIETRu3NjsWJKDxo8fT7FixXj00UfNjiIid0BcXBylSpXK0Ofl5YXVaiUhIQFvb2+TkolITtDrev7iyO/lVfDdoqlTpzJt2rQbbjN8+HC6du0KGGN/ly9fzrlz59i0aRNjxoyhdOnSNGzYMCfiyh1ys8/7ZTNmzGDlypV8/PHHFClSJDsjSja51edeRETyHr2u5z+O/F5eBd8t6tKlCy1btrzhNl5eXvbvXVxc7Bf01qhRg6NHjzJ16lSH+E8i6W72eQcICwtjwYIFzJ07F19f3+yMJ9noVp57yds8PT2Jj4/P0BcXF4eLiwseHh4mpRKR7KbX9fzJkd/Lq+C7RSVLlqRkyZK3vH9aWhrJycl3MJHkhJt93t977z2++OILPv74Y70oOLjb/Z2XvMff35+IiAj69u1r7wsPD7fP4CcieY9e1+UyR3ovr4IvB0ycOJHAwEDKli1LSkoKP/30E19++SUvv/yy2dEkG40ePZqvvvqKKVOmULp0aWJjYwFwd3enaNGiJqeT7JSUlMThw4ft7WPHjrFv3z4KFSqkqbvzkJCQEDp37sy0adPsyzKsXLmSsLAws6NJNtPveP6k1/X8y9Hfy2tZhhwwYsQIIiIi+PfffylUqBAVK1akc+fOtGvXzuxoko2qVat2zf727dszduzYHE4jOWnLli107979qv46depkmMJfHN/69euZPHkyhw4dwsfHh759+/LUU0+ZHUuymX7H8ye9rudfjv5eXgWfiIiIiIhIHqV1+ERERERERPIoFXwiIiIiIiJ5lAo+ERERERGRPEoFn4iIiIiISB6lgk9ERERERCSPUsEnIiIiIiKSR6ngExERERERyaNU8ImIiIiIiORRKvhERERERETyqP8DE1lBeooJl0wAAAAASUVORK5CYII=\n", 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" ] }, "metadata": { "tags": [] } } ] }, { "cell_type": "markdown", "metadata": { "id": "zDCqwUD8D7Ne" }, "source": [ "**Другой способ**\r\n", "\r\n", "Для построения гистограммы удобно использовать библиотеку `seaborn` (подробнее — в туториалах)." ] }, { "cell_type": "code", "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 344 }, "id": "DJjry29lCGfg", "outputId": "87e98c46-ab98-4320-d1d6-b9c2b3c3a975" }, "source": [ "plt.figure(figsize=(15, 5))\r\n", "\r\n", "plt.title(\"Гистограмма\")\r\n", "\r\n", "# data - наши данные, \r\n", "# bins - количество корзин\r\n", "sns.histplot(data=sample, bins=10)\r\n", "\r\n", "plt.show()" ], "execution_count": 6, "outputs": [ { "output_type": "display_data", "data": { "image/png": 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\n", 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" ] }, "metadata": { "tags": [] } } ] }, { "cell_type": "markdown", "metadata": { "id": "_-d0RpY9t1Jj" }, "source": [ "Посмотрим, на что влияет количество корзин." ] }, { "cell_type": "code", "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 344 }, "id": "6cOWccH5r2kn", "outputId": "89c2f88c-772d-4ef5-ee35-159ed346f9b4" }, "source": [ "# Делаем несколько графиков на одной фигуре\r\n", "fig, axs = plt.subplots(figsize=(20, 5), ncols=3)\r\n", "\r\n", "axs[0].set_title(\"4 корзины\" )\r\n", "axs[1].set_title(\"20 корзин\" )\r\n", "axs[2].set_title(\"50 корзин\" )\r\n", "\r\n", "sns.histplot(data=sample, bins=4, ax=axs[0])\r\n", "sns.histplot(data=sample, bins=10, ax=axs[1])\r\n", "sns.histplot(data=sample, bins=30, ax=axs[2])\r\n", "\r\n", "plt.show()" ], "execution_count": 7, "outputs": [ { "output_type": "display_data", "data": { "image/png": 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" ] }, "metadata": { "tags": [] } } ] }, { "cell_type": "markdown", "metadata": { "id": "bnqdieRGJhKN" }, "source": [ "## Ядерная оценка плотности\n", "\n", "Функция `kdeplot` позволяет легко строить ядерные оценки плотности." ] }, { "cell_type": "code", "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 344 }, "id": "gIavTy4Ym8BW", "outputId": "1aab06dc-ed2c-4b32-da46-9747f3a1a1b2" }, "source": [ "# Легкие графики стоит рисовать на сером фоне\r\n", "sns.set_style('darkgrid')\r\n", "\r\n", "plt.figure(figsize=(15, 5))\r\n", "\r\n", "plt.title(\"Ядерная оценка плотности\")\r\n", "\r\n", "sns.kdeplot(data=sample, lw=3, label=\"Ядерная оценка\")\r\n", "\r\n", "plt.scatter(sample, np.zeros(size)+0.005, color='purple', label='Реализация выборки')\r\n", "\r\n", "plt.legend()\r\n", "plt.show()\r\n" ], "execution_count": 8, "outputs": [ { "output_type": "display_data", "data": { "image/png": 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\n", 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" ] }, "metadata": { "tags": [] } } ] }, { "cell_type": "markdown", "metadata": { "id": "q0QSRuESpLqW" }, "source": [ "Сравним график ядерной оценки с графиком истинной плотности." ] }, { "cell_type": "code", "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 344 }, "id": "lLrLwEZooi2U", "outputId": "31f2c58a-653d-4bf8-f22e-378e847732c7" }, "source": [ "plt.figure(figsize=(15, 5))\r\n", "\r\n", "plt.title(\"Ядерная оценка плотности\")\r\n", "\r\n", "sns.kdeplot(data=sample, lw=3, label=\"Ядерная оценка\")\r\n", "\r\n", "plt.scatter(sample, np.zeros(size)+0.005, color='purple', label='Реализация выборки')\r\n", "\r\n", "plt.plot(grid, sps.norm.pdf(grid), lw=3, color='crimson', label='Истинная плотность')\r\n", "\r\n", "plt.legend()\r\n", "plt.show()" ], "execution_count": 9, "outputs": [ { "output_type": "display_data", "data": { "image/png": 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\n", 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" ] }, "metadata": { "tags": [] } } ] }, { "cell_type": "markdown", "metadata": { "id": "hHYYNWxtpIxH" }, "source": [ "Также метод `histplot` позволяет сразу строить и гистограмму, и ядерную оценку плотности." ] }, { "cell_type": "code", "metadata": { "id": "f9P7Xzo6CiaT", "colab": { "base_uri": "https://localhost:8080/", "height": 344 }, "outputId": "09b51bcd-62f2-47c4-bbef-a91f72ac353b" }, "source": [ "# Тяжелые графики стоит рисовать на белом фоне\r\n", "sns.set_style('whitegrid')\r\n", "\r\n", "plt.figure(figsize=(15, 5))\r\n", "\r\n", "plt.title(\"Гистограмма и ядерная оценка\")\r\n", "\r\n", "sns.histplot(data=sample, kde=True)\r\n", "plt.show()" ], "execution_count": 10, "outputs": [ { "output_type": "display_data", "data": { "image/png": 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\n", 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" ] }, "metadata": { "tags": [] } } ] }, { "cell_type": "markdown", "metadata": { "id": "biNvTtsMdVua" }, "source": [ "##Точечные оценки" ] }, { "cell_type": "markdown", "metadata": { "id": "Yg03Sv72dYGQ" }, "source": [ "Рассмотрим **выборочное среднее**.\r\n", "\r\n", "$\\overline{X} = \\frac1n \\sum\\limits_{i=1}^n X_i$\r\n", "\r\n", "Сгенерируем выборку из $\\mathcal{N}(3, 25)$ размера 1000:\r\n" ] }, { "cell_type": "code", "metadata": { "id": "bC07Zl-ymRHq" }, "source": [ "size = 1000 # размер выборки\r\n", "sample = sps.norm(loc=3, scale=5).rvs(size=size)" ], "execution_count": 11, "outputs": [] }, { "cell_type": "markdown", "metadata": { "id": "Kg8OyCl4kduu" }, "source": [ "Посчитаем выборочное среднее" ] }, { "cell_type": "code", "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "H_6Jzbgekf7A", "outputId": "324dd330-2809-40be-9271-7e9676e5e4b4" }, "source": [ "mean = sample.mean()\r\n", "\r\n", "print(f\"Выборочное среднее: {mean:.4}\")" ], "execution_count": 12, "outputs": [ { "output_type": "stream", "text": [ "Выборочное среднее: 2.762\n" ], "name": "stdout" } ] }, { "cell_type": "markdown", "metadata": { "id": "UuDo5eq3kwxU" }, "source": [ "Что хорошего может нам дать эта величина?\r\n", "\r\n", "Давайте посмотрим, как она ведет себя с ростом размера выборки!" ] }, { "cell_type": "markdown", "metadata": { "id": "3IWm0nsoGc_8" }, "source": [ "$X_1, X_2, .....X_j, ... X_n$" ] }, { "cell_type": "code", "metadata": { "id": "qnb3LHm9Gca1" }, "source": [ "" ], "execution_count": 12, "outputs": [] }, { "cell_type": "markdown", "metadata": { "id": "u06oQYXJf-SQ" }, "source": [ "Посчитаем выборочное среднее по всем подвыборкам $X_1, ..., X_j$ для $j \\in \\{1, \\ldots, n\\}$:\r\n", "\r\n", "$\\left(\\overline{X}\\right)_j = \\frac1j \\sum\\limits_{i=1}^j X_i$" ] }, { "cell_type": "code", "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "gcOd2JH1G2wT", "outputId": "6173ec83-1458-429f-8f78-ee605adcc745" }, "source": [ "sample.cumsum() [:10]" ], "execution_count": 13, "outputs": [ { "output_type": "execute_result", "data": { "text/plain": [ "array([ 0.27056126, -1.72903326, 2.41310232, 12.18448146, 10.67177173,\n", " 18.78481844, 16.30887698, 14.66257492, 35.05795531, 36.10807508])" ] }, "metadata": { "tags": [] }, "execution_count": 13 } ] }, { "cell_type": "code", "metadata": { "id": "0OVHcRE_dEw8" }, "source": [ "means = sample.cumsum() / (np.arange(size) + 1) # кумулятивное усреднение" ], "execution_count": 14, "outputs": [] }, { "cell_type": "markdown", "metadata": { "id": "Rk8H0GWLgoU2" }, "source": [ "Построим график зависимости среднего от размера префикса:" ] }, { "cell_type": "code", "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 345 }, "id": "uvISjBYLgkvV", "outputId": "65c2083e-4252-4814-afe2-da61d0621db4" }, "source": [ "# Легкие графики стоит рисовать на сером фоне\r\n", "sns.set_style('darkgrid')\r\n", "\r\n", "plt.figure(figsize=(15, 5))\r\n", "plt.plot(means, lw=3)\r\n", "plt.hlines(3, 0, size, alpha=0.5, linestyles='--')\r\n", "plt.xlabel('Количество случайных величин')\r\n", "plt.ylabel('Значение среднего')\r\n", "plt.xlim((0, size));" ], "execution_count": 15, "outputs": [ { "output_type": "display_data", "data": { "image/png": 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\n", 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" ] }, "metadata": { "tags": [] } } ] }, { "cell_type": "markdown", "metadata": { "id": "BzGC1yJQhik-" }, "source": [ "Но одного эксперимента мало, чтобы понять свойства вероятностных объектов. **Запомните это!**\r\n", "\r\n", "Повторим эксперимент 10 раз **независимо**." ] }, { "cell_type": "code", "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 1000 }, "id": "MbEZJk0Nhh_H", "outputId": "b9acb7af-00d4-4049-91e1-01cd7ebc727c" }, "source": [ "plt.figure(figsize=(20, 15))\r\n", "\r\n", "for i in range(10):\r\n", "\r\n", " # Генерация выборки и вычисление средних\r\n", " sample = sps.norm(loc=3, scale=5).rvs(size=size)\r\n", " means = sample.cumsum() / (np.arange(size) + 1)\r\n", " \r\n", " # График\r\n", " plt.subplot(5, 2, i+1)\r\n", " plt.plot(means, lw=3)\r\n", " plt.hlines(3, 0, size, alpha=0.5, linestyles='--')\r\n", " plt.xlabel('Количество случайных величин')\r\n", " plt.ylabel('Значение среднего')\r\n", " plt.xlim((-5, size))\r\n", " \r\n", "plt.tight_layout()" ], "execution_count": 16, "outputs": [ { "output_type": "display_data", "data": { "image/png": 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\n", 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" ] }, "metadata": { "tags": [] } } ] }, { "cell_type": "markdown", "metadata": { "id": "J0yVmE8Ahd2r" }, "source": [ "Как видим, со временем график среднего приближается к значению параметра $a$ нормального распределения.\r\n", "\r\n", "Вспомним теорию вероятностей!\r\n", "\r\n", "## Закон больших чисел\r\n", "\r\n", "**Формулировка.**\r\n", "\r\n", "Пусть $\\xi_1, ..., \\xi_n$ — независимые одинаково распределенные случайные величины из некоторого распределения, причем $\\mathsf{E}\\xi_i = \\mu$. Тогда выполнена сходимость $$\\frac{\\xi_1 + ... + \\xi_n}{n} \\stackrel{п.н.}{\\longrightarrow} \\mu.$$ \r\n", "\r\n", "\r\n", "\r\n", "\r\n", "\r\n" ] }, { "cell_type": "markdown", "metadata": { "id": "57oj8YNEicve" }, "source": [ "Вспомнимаем, что для нормального распределения $\\mathsf{E}\\xi_i = a$, то есть согласно ЗБЧ $$\\overline{X} = \\frac{X_1 + ... + X_n}{n} \\stackrel{п.н.}{\\longrightarrow} a.$$\r\n", "\r\n", "*Здесь $\\overline{X} $ обозначает последовательность средних.*" ] }, { "cell_type": "markdown", "metadata": { "id": "Anli6KJyjYjN" }, "source": [ "Сгенерируем большое количество независимых наборов случайных величин" ] }, { "cell_type": "code", "metadata": { "id": "zVOk1J3AgvNy" }, "source": [ "size = 1000 # размер выборки\r\n", "samples_count = 500 # количество выборок\r\n", "\r\n", "sample = sps.norm(loc=3, scale=5).rvs(size=(samples_count, size)) # генерация сразу всех выборок\r\n", "means = sample.cumsum(axis=1) / (np.arange(size) + 1) # кумулятивное усреднение внутри каждой выборки" ], "execution_count": 17, "outputs": [] }, { "cell_type": "markdown", "metadata": { "id": "zHXLchVajcwN" }, "source": [ "Нарисуем траектории среднего для всех реализациий на одном графике." ] }, { "cell_type": "code", "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 459 }, "id": "D3gsL52IjS7o", "outputId": "9664458d-56d4-4bdf-de50-18846a7afd1d" }, "source": [ "plt.figure(figsize=(15, 7))\r\n", "\r\n", "# для каждой выборки рисуем отдельную кривую\r\n", "for i in range(samples_count):\r\n", " plt.plot(np.arange(size) + 1, means[i], color='crimson', alpha=0.01)\r\n", "\r\n", "plt.xlabel('Количество случайных величин')\r\n", "plt.ylabel('Значение среднего')\r\n", "\r\n", "# ограничения графика по осям\r\n", "plt.xlim((0, size))\r\n", "plt.ylim((-4, 10));" ], "execution_count": 18, "outputs": [ { "output_type": "display_data", "data": { "image/png": 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\n", 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" ] }, "metadata": { "tags": [] } } ] }, { "cell_type": "markdown", "metadata": { "id": "2NWnY-9LjvzI" }, "source": [ "**Вывод:** \r\n", "\r\n", "При достаточность большом количестве случайных величин значение среднего не сильно\r\n", "отклоняется от математического ожидания, причем чем больше случайных величин просуммированы, тем меньше отклонения. Данный эксперимент хорошо визуализирует закон больших чисел." ] }, { "cell_type": "markdown", "metadata": { "id": "6RqWtC1hj7MW" }, "source": [ "Таким образом, в данном случае выборочное среднее — \"хорошая оценка\", т.к. с ростом выборки его значение приближается к истинному значению параметра." ] }, { "cell_type": "markdown", "metadata": { "id": "uXW5vH3ck84w" }, "source": [ "Это эксперимент намекает нам, что некоторые оценки могут быть \"хорошими\" в каком-лмбо смысле. О том, какие у оценок бывают \"хорошие\" свойства — на следующих занятиях!" ] } ] }