{ "cells": [ { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# Linear classification\n", "\n", "The goal of this exercise is to study hard and soft binary linear classification." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Hard linear classification: perceptron algorithm" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Linearly separable data\n", "\n", "We start by generating a binary linear classification dataset with 100 examples (50 in each class). You do not need to read the code generating the data, we just randomly select 100 point in $[0, 1]^2$ and assign a label depending on their position." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "def create_dataset(n_samples):\n", " \n", " rng = np.random.default_rng()\n", " \n", " X = rng.uniform(0.0, 1.0, (n_samples, 2))\n", " \n", " t = np.array([1 if X[i, 0] + X[i, 1] > 1. else -1 for i in range(n_samples)])\n", " \n", " return X, t\n", "\n", "X, t = create_dataset(100)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's visualize the training set now in the following cell. Samples of the positive class (t=1) will be represented by blue points, examples of the negative class (t=-1) by orange ones." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAzoAAAH5CAYAAABJUkuHAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjYuMSwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/av/WaAAAACXBIWXMAAA9hAAAPYQGoP6dpAABLKElEQVR4nO3df3SU9Z3//dfMIBkVZnrAkkyQptFtF+ekVQk3bWI5PbUFgzR0e+qB7+0itsWeQtv1ULYuqHs3je1ZpLv1Zq0S673YLot1UWxrsjcbZbdbBWFvKoS9pePZ9ospKEzITfLdmaAbrDPX/cfFRCYzk8xMZub6Mc/HOTlprnymfMArmc/7+rzf74/HMAxDAAAAAOAiXqsnAAAAAAClRqADAAAAwHUIdAAAAAC4DoEOAAAAANch0AEAAADgOgQ6AAAAAFyHQAcAAACA60yzegL5SCaTOnPmjGbOnCmPx2P1dAAAAABYxDAMjYyMqL6+Xl5v7n0bRwQ6Z86c0bx586yeBgAAAACbeOONN3T11Vfn/L4jAp2ZM2dKMv8ygUDA4tkAAAAAsEo8Hte8efPGYoRcHBHopNLVAoEAgQ4AAACASUtaaEYAAAAAwHUIdAAAAAC4DoEOAAAAANch0AEAAADgOgQ6AAAAAFyHQAcAAACA6xDoAAAAAHAdAh0AAAAArkOgAwAAAMB1CHQAAAAAuA6BDgAAAADXKTjQeemll9Te3q76+np5PB794he/mPQ1L774opqbm+X3+3XNNdfoscceK2auAAAAAJCXggOdt956S9dff70eeeSRvMb39/fr1ltv1eLFi9XX16f77rtPd999t5599tmCJwsAAAAA+ZhW6AuWLVumZcuW5T3+scce0wc+8AFt27ZNknTdddfplVde0d/8zd/oC1/4QqF/PAAAVSORNHS4f1iDI6OaM9OvRY2z5PN6rJ4WADhCwYFOoQ4dOqSlS5emXbvlllu0Y8cO/eEPf9Bll12W8ZoLFy7owoULY1/H4/FyTxMAAFvpPR5VZ09E0djo2LVQ0K+O9rDamkIWzgwAnKHszQgGBgZUW1ubdq22tlbvvvuuzp07l/U1W7ZsUTAYHPuYN29euacJAIBt9B6Pav2uo2lBjiQNxEa1ftdR9R6PWjQzAHCOinRd83jSt9kNw8h6PeXee+9VLBYb+3jjjTfKPkcAAOwgkTTU2RORkeV7qWudPRElktlGAABSyp66VldXp4GBgbRrg4ODmjZtmmbPnp31NTU1NaqpqSn31AAAsJ3D/cMZOzmXMiRFY6M63D+sRY2zqOEBgBzKHui0tLSop6cn7doLL7yghQsXZq3PAQCgmg2O5A5yLvUvkQFtfPoYNTwAkEPBqWvnz5/XsWPHdOzYMUlm++hjx47p1KlTksy0szVr1oyNX7dunU6ePKmNGzfqtdde0xNPPKEdO3boW9/6Vmn+BgAAuMicmf68xu14+ffU8ADABAoOdF555RXdeOONuvHGGyVJGzdu1I033qhvf/vbkqRoNDoW9EhSY2Oj9u7dq1/96le64YYb9N3vflcPP/wwraUBAMhiUeMshYJ+5UpA80jKlZ1GDQ8AvMdjpDoD2Fg8HlcwGFQsFlMgELB6OgAAlFWq65qktKYEnnFfT+Spr3xcLddmr4UFqgnnUblPvrFB2Wt0AABAYdqaQupavSDjHJ26oF/Lmur0xMu/n/T/I99aH8DNOI+quhHoAABgQ21NIS0J12U8iT7cP5xXoJNvrQ/gVqmd0fG7oKlatq7VCwh2XI5AxwrJhHTyoHT+rDSjVmpolbw+q2cFALAZn9eTkX6WquEZiI1mTWPzyNz5WdQ4qyJzBOxosvOoPDJr2ZaE60hjczECnUqLdEu9m6T4mfeuBeqltq1SeIV18wIAOILP61FHe1jrdx3NqNlJLdc62sMs3lDVCjmPilo29yq46xqmINItPb0mPciRpHjUvB7ptmZeAABHSdXw1AXT09Pqgn7ScQDlX6P28v/8//TcsdM6dGKIToUuxI5OpSQT5k7ORJuovZul+ctJY4Ot0b0GsIdcNTz8PAL516g98m8nxv43TQrch0CnUk4ezNzJSWNI8dPmuMbFFZsWUAi61wD2kq2GB8DktWzZ0KTAfUhdq5TzZ0s7DqiwVPcaTmIHANhdqpZNUs7Dd8fjwF33IdCplBm1pR0HVNBk3Wsk3hgAAPaSq5ZtIpc2KYDzkbpWKQ2tZne1eFTZ63Q85vcbWis9M2BSdK8BADjR+Fq23509r0f+7X9O+joO3HUHdnQqxeszW0hLytxEvfh124M0IoAt5fsLnzcGAIDdpGrZPnfDXN30R1fl9RoO3HUHAp1KCq+QVu6UAuMK3AL15nXO0YFN5fsL3+o3hkTS0KETQ7QKBQBklWpSkKtuxyOzyQ4H7roDqWuVFl5htpA+edBsPDCj1kxXYycHNuaEk9jpCAcAmAwH7lYXdnSs4PWZLaQ/cpv5mSAHNjdR9xo7vDHQEQ4AkC8O3K0eHsMwbJ/bEY/HFQwGFYvFFAgErJ4OULXsuGuSSBr6xNZf5myWkNptOrDpZp7QAQDGcAC2c+UbG5C6BiBvdjyJnY5wAIBicOCu+xHoACiI3d4Y6AgHOANPzwFUGoEOAEdzSkc4oJrZMe0VgPvRjACAo9EqFLA3moUAsAqBDgBHs3tHOKCaJZKGOnsiWdvSp6519kQ48wpAWRDoAHA8WoUC9lRIsxAAKDVqdAC4gh07wgHVjmYhgD1UazMQAh0ArmG3jnBAtaNZCGC9am4GQuoaAAAoC5qFANaq9mYgBDoAAKAsaBYCWIdmIAQ6AACgjGgWAliDZiDU6AAAgDKjWQhQeTQDIdABAAAVQLMQoLJoBkKgAwCoMtXaZhVAdUk1AxmIjWat0/HITCF1czMQAh2gwlhkAdap5jarAKpLqhnI+l1H5ZHSgp1qaQbiMQzD9q0W4vG4gsGgYrGYAoGA1dMBisYiC7BOqs3q+De91Fs8hfEA3MiNa498YwMCHaBCWGQB1kkkDX1i6y9zdiBKpXAc2HSzq59uAqhObssmyTc2IHUNqIDJetl7ZPayXxKuc/QvHsCuCmmzSsE8ALep1mYgBDpwLTs9vWCRhUqy071vF7RZBYDqQ6ADV7JbPmohiywWqZgKu937dkGbVQCoPgQ6cJ1ctTADsVGt33XUklqYfBdPvz/3dkYdAYtU5MuO975d0GYVAKqP1+oJAKU0WS2MZNbCJJKV7cGRWmTl2pfxSHrfFZdp27/8NiPFLbVI7T0eLfs84Vx2vfftItVmVVLGz2G1tFkFgGpDoANXKaQWppImW2Sllp4sUlEsu977VkgkDR06MaTnjp3WoRNDYz83bU0hda1eoLpg+g5rXdBf1btdAOBWpK7BVexccJxaZI2vn6gL+vU//rd5+j//5Xc5X0uzAkzGzvd+JU1Wo9TWFNKScB11cABQBQh04Cp2LzjOtcj6p//3TF6vd/siFcWz+71fCfnWKFVrm1UAqDYEOnAVJxQcZ1tksUjFVDnh3i8nzqoCAIxHjQ5cxakFx/k0Kwi5eJGKqXPqvV8q1CgBAMYj0IHrOLHguNoXqSgNJ977pUKNEjC5XI06ALcidQ2u5MSC44maFXCODvLlxHu/FEj/BCbGYcKoRh7DMGwfzsfjcQWDQcViMQUCAaunA5RVImlU3SIV1aGc93YiaegTW385aY3SgU038/NURfh9asrVqCP1L+H2HV+4T76xATs6gM3QEQpuVO6nyan0z/W7jqadTSXln/7Jothd2MEw0agD1YwdHQBAWVXyaXKxi1sWxe7CDsZ7Dp0Y0v/+f/37pOOe+srHecgGx2BHBwBguUo/TS6mRinf83fgDOxgpKNRB6oZXdcAAGVjRdvnVPrn526Yq5ZrZ0+arjbRolgyF8V0p3IOWo2no1EHqhmBDgCgbOz+NJlFsfvY7Z6zuqUz57ShmpG6BgAoG7s/TbbbohhTZ6d7zg61X6Vo1AE4FTs6AICysfvTZDstilEadrnnUrVf43cMU7VfvcejZf3zL1XNhwmjurGjAwAoG7s/TU4tiic7f4e0Huewwz1nx4YI1XqYMKobOzoAgLKy89Pk1KJYUsYOgB0CMRTH6nvOrrVfhTTqANyAHR0AQNnZ+WlyalE8vpaijnN0HM3Ke47aL8AeCHQAABWReppsR3YOxFA8q+45ar8AeyDQAQBA9g7E4CzUfgH2QI1ONUgmpP790qt7zM/JhNUzAgDAtaj9AuyBHR23i3RLvZuk+Jn3rgXqpbatUniFdfMCAMDFqP0CrOcxDKOyR/QWIR6PKxgMKhaLKRAIWD0d54h0S0+vkTI2zi8+QVq5k2AHAIAySiQNar+AEss3NmBHx62SCXMnZ6Iu/r2bpfnLJa+vwpMDAKA6UPsFWIcaHbc6eTA9XS2DIcVPm+MAAAAAl2FHx+mSCTNYOX9WmlErNbSaOzTnz+b3+nzHAbAtUmMAAMhEoONkEzUamFGb3/9HvuMA2FLv8WhGsXOIYmcAAEhdc6xUo4Hx6WnxqHn97SEz6MlobJnikQJzzR0gAI7Uezyq9buOpgU5kjQQG9X6XUfVezxq0cwAALAegY4TTdpoQNLz90lLt1y8lqOLf9uDNCIAHCqRNNTZE5not4A6eyJKJG3fWBMAgLIg0HGifBsNXDnbbCEdGJe+EqintTTgcIf7hzN2ci5lSIrGRnW4f7hykwIAwEao0XGiQhoNfOQ2s4V0toYFABxrcCR3kFPMOAAA3IZAx4kKbTTg9UmNi8s3HwAVN2emv6TjAABwG1LXnKihlUYDQJVb1DhLoaB/ot8CCgXNVtOllEgaOnRiSM8dO61DJ4aoAQIA2BY7Ok7k9ZktpJ9eI3M5c+lCg0YDQDXweT3qaA9r/a6juX4LqKM9XNLzdGhlDQBwEnZ0nCq8gkYDQJVrawqpa/UC1QXT09Pqgn51rV5Q0uCDVtYAAKfxGIZh+7yDeDyuYDCoWCymQCBg9XTsJZmg0QBQ5RJJQ4f7hzU4Mqo5M810tVLu5CSShj6x9Zc5u7x5ZAZXBzbdXNI/FwCAbPKNDUhdczoaDQBVz+f1qOXa2WX7/y+klXU55wEAQCGKSl3bvn27Ghsb5ff71dzcrP379084/sknn9T111+vK664QqFQSF/60pc0NDRU1IQBAJVFK2sAgBMVHOjs3r1bGzZs0P3336++vj4tXrxYy5Yt06lTp7KOP3DggNasWaO1a9fqN7/5jZ555hn9+te/1l133TXlyQMAyo9W1gAAJyo40HnooYe0du1a3XXXXbruuuu0bds2zZs3T11dXVnH//u//7s++MEP6u6771ZjY6M+8YlP6Ktf/apeeeWVKU8eAFB+VrWyBgBgKgoKdN555x0dOXJES5cuTbu+dOlSHTx4MOtrWltb9eabb2rv3r0yDENnz57Vnj17tHz58px/zoULFxSPx9M+AADWSLWyljJP7ypXK2sAAKaqoEDn3LlzSiQSqq2tTbteW1urgYGBrK9pbW3Vk08+qVWrVmn69Omqq6vT+973Pv3whz/M+eds2bJFwWBw7GPevHmFTBMAUGKVbGUNAEApFNV1zeNJf2pnGEbGtZRIJKK7775b3/72t3XLLbcoGo3qnnvu0bp167Rjx46sr7n33nu1cePGsa/j8TjBDgBYrK0ppCXhurK2sgYAoFQKCnSuuuoq+Xy+jN2bwcHBjF2elC1btuimm27SPffcI0n66Ec/qiuvvFKLFy/W9773PYVCmU8Ba2pqVFNTU8jUAAAVUO5W1gAAlEpBqWvTp09Xc3Oz9u3bl3Z93759am1tzfqat99+W15v+h/j85kHWjrgrFIAAAAADlRw17WNGzfq7/7u7/TEE0/otdde0ze/+U2dOnVK69atk2Smna1Zs2ZsfHt7u372s5+pq6tLr7/+ul5++WXdfffdWrRokerr60v3NwEAAACAiwqu0Vm1apWGhob0wAMPKBqNqqmpSXv37lVDQ4MkKRqNpp2p88UvflEjIyN65JFH9Od//ud63/vep5tvvllbt24t3d8CAAAAAC7hMRyQPxaPxxUMBhWLxRQIBKyeDgAAAACL5BsbFNV1DRZIJqSTB6XzZ6UZtVJDq+T1WT0rAAAAwJYIdJwg0i31bpLiZ967FqiX2rZK4RXWzQsAAACwqYKbEaDCIt3S02vSgxxJikfN65Fua+YFAAAA2BiBjp0lE+ZOjrKVUV281rvZHAcAAABgDIGOnZ08mLmTk8aQ4qfNcQAAAADGUKNjZ+fPlnYcAAAA8pJIGjrcP6zBkVHNmenXosZZ8nk9Vk8LBSDQsbMZtaUdBwAAgEn1Ho+qsyeiaGx07Foo6FdHe1htTSELZ4ZCkLpmZw2tZnc15Xp64JECc81xAAAAmLLe41Gt33U0LciRpIHYqNbvOqre41GLZoZCEejYmddntpCWlBnsXPy67UHO0wGySCQNHToxpOeOndahE0NKJG1/NjIAwGKJpKHOnshEbaDU2RPhPcUhSF2zu/AKaeXOHOfoPMg5OkAWpBwAAIpxuH84YyfnUoakaGxUh/uH1XLt7MpNDEUh0HGC8App/nKzu9r5s2ZNTkMrOzlAFqmUg/HP2lIpB12rFxDsAACyGhzJHeQUMw7WItBxCq9Palxs9SwAW5ss5cAjM+VgSbiOzjkAgAxzZvpLOg7WokYHgGsUknIAAMB4ixpnKRT0T9QGSqGg2Woa9kegA8A1SDkAAEyFz+tRR3tYUs42UOpoD5MV4BAEOgBcg5QDAMBUtTWF1LV6geqC6e8VdUE/dZ4OQ40OANdIpRwMxEaz1ul4ZL5RkXIAAJhIW1NIS8J1Otw/rMGRUc2Zab53sJPjLAQ6AFwjlXKwftdReaS0YIeUAwBAIXxeDy2kHY7UNQCuQsoBAACQ2NEB4EKkHAAAAAIdAK5EygEAANWNQMcukgnp5EHp/FlpRq3U0GoeEgoAAACgYAQ6dhDplno3SfEz710L1EttW6XwCuvmBQAAADgUzQisFumWnl6THuRIUjxqXo90WzMvAAAAwMEIdKyUTJg7OVlP/Lh4rXezOQ4AAABA3gh0rHTyYOZOThpDip82xwEAAADIG4GOlc6fLe04AAAAAJIIdKw1o7a04wAAAABIItCxVkOr2V1NuQ4x9EiBueY4AAAAAHkj0LGS12e2kJaUGexc/LrtQc7TAQAAAApEoGO18App5U4pEEq/Hqg3r3OODuA6iaShQyeG9Nyx0zp0YkiJZLbOiwAAYCo4MNQOwiuk+cvN7mrnz5o1OQ2t7OQALtR7PKrOnoiisdGxa6GgXx3tYbU1hSZ4JQAAKITHMAzbP0qMx+MKBoOKxWIKBAJWTwcAitJ7PKr1u45mnJyVSlztWr2AYAcok0TS0OH+YQ2OjGrOTL8WNc6Sz5urRhaAneUbG7CjAwAVkEga6uyJ5Dwe2COpsyeiJeE6Fl9AibGTClQnanQAoAIO9w+nLbLGMyRFY6M63D9cuUkBVSC1kzr+528gNqr1u46q93jUopkBKDcCHQCogMGR3EFOMeMATG6ynVTJ3EmlIQjgTgQ6AFABc2b6SzoOwOTYSQWqG4EOAFTAosZZCgX9Ex0PrFDQLJAGUBrspALVjUAHACrA5/Wooz0sKefxwOpoD9OIACghdlKB6kagAwAV0tYUUtfqBaoLpi+q6oJ+WksDZcBOKlDdaC8NABXU1hTSknAd53kAFZDaSV2/66g8UlpTAnZSAffjwFAAAOBqnKMDuAsHhgIAAIidVKBaEegAAADX83k9arl2ttXTAFBBBDpwt2RCOnlQOn9WmlErNbRKXp/VswIAAECZEejAvSLdUu8mKX7mvWuBeqltqxReYd28AAAAUHa0l4Y7Rbqlp9ekBzmSFI+a1yPd1swLAAAAFUGgA/dJJsydHGVrKHjxWu9mcxwAAABciUAH7nPyYOZOThpDip82xwEAAMCVCHTgPufPlnYcAAAAHIdAB+4zo7a04wAAAOA4BDpwn4ZWs7uach0E55ECc81xAAAAcCUCHbiP12e2kJaUGexc/LrtQc7TAQAAcDECHbhTeIW0cqcUCKVfD9Sb1zlHBwAAwNU4MBTuFV4hzV9udlc7f9asyWloZScHAACgChDowN28PqlxsdWzqD7JBAEmAACwFIEOgNKKdJsHtl56llGg3qybImUQAABUCDU6AEon0i09vSbzwNZ41Lwe6bZmXgAAoOoQ6AAojWTC3MmRkeWbF6/1bjbHAQAAlBmBDoDSOHkwcycnjSHFT5vjAAAAyoxAB0BpnD9b2nEAAABTQKADoDRm1JZ2HAAAwBQQ6AAojYZWs7uaPDkGeKTAXHMcAABAmRHoACgNr89sIS0pM9i5+HXbg5ynAwAAKoJAB0DphFdIK3dKgVD69UC9eZ1zdAAAQIVwYCiA0gqvkOYvN7urnT9r1uQ0tLKTAwBwjETS0OH+YQ2OjGrOTL8WNc6Sz5srNRt2RaADoPS8PqlxsdWzAAAUodoX+b3Ho+rsiSgaGx27Fgr61dEeVltTaIJXwm4IdAAAACCJRX7v8ajW7zqacfT1QGxU63cdVdfqBVXx7+AW1OgAAABgbJF/aZAjvbfI7z0eLcufm0gaOnRiSM8dO61DJ4aUSI4PMyojkTTU2RPJCHIkjV3r7IlYNj8Ujh0dAACAKjfZIt8jc5G/JFxX0jQ2O+0gHe4fzgjyLmVIisZGdbh/WC3Xzq7cxFA0dnQAoMrZ5WkqAOsUssgvFat2kHIZHMn99y9mHKzHjg4AVDE7PU0FYJ1KL/Kt2kGayJyZ/pKOcxOnNqgg0AGAKkXRLYCUSi/y7ZgmtqhxlkJBvwZio1kDMI+kuqC5yK8mTn4gRuoaADjUVFLOKLoFcKnUIj/XM3qPzMVtqRb5dkwT83k96mgPS1LGv0Pq6472cNpOhttTf+2WXlgodnQAwIGm+oTNjk9TAVgntchfv+uoPFLaQ5Bci/ypsGuaWFtTSF2rF2T8fq3L8vvVyTsd+bBjemGhitrR2b59uxobG+X3+9Xc3Kz9+/dPOP7ChQu6//771dDQoJqaGl177bV64oknipowAFS7Ujxhs+PTVADWSi3y64LpwUVd0F/yVNZK7yAVoq0ppAObbtZTX/m4/vZ/3KCnvvJxHdh0c0aQ4+SdjnxY0aCi1Are0dm9e7c2bNig7du366abbtKPfvQjLVu2TJFIRB/4wAeyvmblypU6e/asduzYoT/6oz/S4OCg3n333SlPHgCqTamesNn1aSoAa7U1hbQkXFf2wvNK7yAVyuf15NzNdsNORz7c8ECs4EDnoYce0tq1a3XXXXdJkrZt26bnn39eXV1d2rJlS8b43t5evfjii3r99dc1a5YZlX/wgx+c8M+4cOGCLly4MPZ1PB4vdJoA7CaZkE4elM6flWbUSg2tktdn9awcp1QpZxTdAshlokV+KRWSJlZpE3UZq5bUXzc8ECso0HnnnXd05MgRbd68Oe360qVLdfDgwayv6e7u1sKFC/X9739f//AP/6Arr7xSK1as0He/+11dfvnlWV+zZcsWdXZ2FjI1AHYW6ZZ6N0nxM+9dC9RLbVul8Arr5uVApXrCZvenqQCqQ6V2kAoxWe2NG3Y68uGGB2IF1eicO3dOiURCtbW1addra2s1MDCQ9TWvv/66Dhw4oOPHj+vnP/+5tm3bpj179ujrX/96zj/n3nvvVSwWG/t44403CpkmADuJdEtPr0kPciQpHjWvR7qtmZdDlfIJWyXz8QEgl9QO0udumKuWa2dbHuRMVnvjhp2OfBTThc5uiuq65vGk/4UMw8i4lpJMJuXxePTkk08qGAxKMtPfbrvtNj366KNZd3VqampUU1NTzNQA2EkyYe7kTJTJ3LtZmr+cNLY8lfoJmx2fpgKAFfKtvXnxnk85fqcjX3ZOL8xHQYHOVVddJZ/Pl7F7Mzg4mLHLkxIKhTR37tyxIEeSrrvuOhmGoTfffFMf+tCHipg2AEc4eTBzJyeNIcVPm+MaF1dsWk5WjpSzSuXjA4Cd5Vt7c+Tk/6qq1F8nPxArKHVt+vTpam5u1r59+9Ku79u3T62trVlfc9NNN+nMmTM6f/782LXf/va38nq9uvrqq4uYMgDHOH+2tOMgiZQzACiHQmpvqu33sJ3SCwtRcOraxo0bdccdd2jhwoVqaWnR448/rlOnTmndunWSzPqa06dPa+fOnZKk22+/Xd/97nf1pS99SZ2dnTp37pzuueceffnLX87ZjACAS8zIvtNb9DiMcfITNgCwo0Jrb/g9bH8FBzqrVq3S0NCQHnjgAUWjUTU1NWnv3r1qaGiQJEWjUZ06dWps/IwZM7Rv3z792Z/9mRYuXKjZs2dr5cqV+t73vle6vwUAe2poNburxaPKXqfjMb/fkH1HGBMj5QwASqeYGkh+D9ubxzCMbP8tbSUejysYDCoWiykQCFg9HQCFSHVdk5Q1k3nlzvK0mObcHgBAgVJd16TstTduTEtzonxjg4JqdACgYOEVZjATGPfGEKgvX5AT6Za2NUl//1np2bXm521NtLIGAEyo2mpv3I4dHQCVUakdlrEdpPG/2sq8gwQAcI1E0qD2xsbyjQ2KOkcHAArm9ZW/hTTn9gAASoDaG3cgdQ2AexRybg8AAHA1Ah0A7sG5PQAA4CJS1wC4B+f2AABsjNqfyiLQAeAenNsDwMVYJDtb7/GoOnsiisZGx66Fgn51tIfp5lYmBDoA3MPrk9q2Xuy65lHWUxDaHqQRAQDHYZHsbKnzecY/ghuIjWr9rqO0ri4TanQAuIsV5/YAJZJIGjp0YkjPHTutQyeGlEja/gQIVEBqkXxpkCO9t0juPR61aGbIRyJpqLMnkrMfqCR19kT4eS8DdnQAuE94hdlCuhLn9gAlwhN7ZDPZItkjc5G8JFxHGptNHe4fzghSL2VIisZGdbh/mJbWJcaODgB3Sp3b85HbzM8EObAxntgjl0IWybCnwZHc//2KGYf8EegAAGAh0lowERbJzjdnpr+k45A/Ah0AACzEE3tMhEWy8y1qnKVQ0K9ciYUemWmqixpnVXJaVYFABwAAC/HEHhNhkex8Pq9HHe1hScr475j6uqM9TI1VGRDoAABgIZ7YYyIskt2hrSmkrtULVBdM/zmuC/ppLV1GdF0DAMBCqSf2A7HRXMfcqo4n9lUttUge35Wvjq58jtLWFNKScB2HvlaQxzAM21c3xuNxBYNBxWIxBQIBq6cDAEBJpbquSVmPueWJLySZjStYJAP5xwYEOgAA2ADn6ABAfvKNDUhdAwDABkhrAYDSItABAMAmfF4PJ6MDQInQdQ0AAACA6xDoAAAAAHAdAh0AAAAArkOgAwAAAMB1CHQAAAAAuA6BDgAAAADXIdABAAAA4DoEOgAAAABch0AHAAAAgOsQ6AAAAABwHQIdAAAAAK5DoAMAAADAdaZZPQE4SDIhnTwonT8rzaiVGlolr8/qWQEAAAAZCHSQn0i31LtJip9571qgXmrbKoVXWDcvAAAAIAtS1zC5SLf09Jr0IEeS4lHzeqTbmnkBAAAAORDoYGLJhLmTIyPLNy9e691sjgMAAABsgkAHEzt5MHMnJ40hxU+b4wAAAACbINDBxM6fLe04AAAAoAIIdDCxGbWlHQcAAABUAIEOJtbQanZXkyfHAI8UmGuOAwAAAGyCQAcT8/rMFtKSMoOdi1+3Pch5OgAAALAVAh1MLrxCWrlTCoTSrwfqzeucowMAAACb4cBQ5Ce8Qpq/3Oyudv6sWZPT0MpODgAAgAskkoYO9w9rcGRUc2b6tahxlnzeXKULzkCgg/x5fVLjYqtnAQAACuTGRSxKp/d4VJ09EUVjo2PXQkG/OtrDamsKTfBKeyPQAQAAcDG3LmJRGr3Ho1q/62jG0fADsVGt33VUXasXOPY+oUYHAADApVKL2EuDHOm9RWzv8ahFM4MdJJKGOnsiGUGOpLFrnT0RJZLZRtgfgQ4AALBEImno0IkhPXfstA6dGHLsYsqu3L6IxdQd7h/OCIIvZUiKxkZ1uH+4cpMqIVLXrJRMUNwPAKhKpFOVXyGL2JZrZ1duYrCNwZHc90cx4+yGQMcqkW6pd5MUP/PetUC9eWYN7ZoBAC7m5poAO3H7IhZTN2emv6Tj7IbUNStEuqWn16QHOZIUj5rXI93WzAsAgDIjnapy3L6IxdQtapylUNCfcSR8ikfmTuuixlmVnFbJEOhUWjJh7uRM9Cu+d7M5DgAAl3F7TYCduH0Ri6nzeT3qaA9LUsZ9kvr6/1h+nQ73Dzuylo7UtUo7eTBzJyeNIcVPm+M4swYA4DKkU1VOahG7ftdReZT+iDW1iO1oD3OeTpVrawqpa/WCjJq5uqBfK64P6bv/92uOraUj0Km082dLOw4AAAchnaqyJlrEOmWxivJrawppSbgu7VDZ//XWO/r6T51dS0egU2kzaks7DgAAB0mlUw3ERrMmcXtkLsJJpyqdbIvYRY2z2MlBGp/XM9Z9L5E09Imtv8xZaOGRWUu3JFxn6/uIGp1Ka2g1u6tNlDEbmGuOA4qRTEj9+6VX95ifqfcCYCP51ASQTlV6qUXs526Yq5ZrZ/Pviwm5pZaOHZ1K8/rMFtJPr5FyZcy2Pch5OigObcsBOADpVEDxEkmj7LtzbqmlI9CxQniFtHJnjgXpgyxIUZxU2/LxG82ptuUrd3JvAbAN0qmAwlXqoF231NJ5DMOwfY+4eDyuYDCoWCymQCBg9XRKJ5kwu6udP2vW5DS0spOD4iQT0ramCTr6ecxAesOr3GMAADhQroN2U48GStkcIFWjM1kt3YFNN1vycCLf2IAaHSt5fWYL6Y/cZn5mAYpiFdK2HAAAOEqlD9p1Sy0dgQ7gBrQtBwDAtaxoDpCqpasLpqen1QX9jmgtLVGjA7gDbcsBAHAtq5oDOL2WjkAHcINU2/J4VBnNCCSN1ejQthwAAMexsjnApefrOA2pa4AbpNqWS8qZTUvbcgAAHCl10O4EpzAqxEG7GQh0ALdItS0PjMuZDdTTWhoAAAdzS3OASqO9NOA2tC0HAMCVKnWOjt3lGxsQ6AAAAAAOkUgajm0OUCr5xgY0IwAAAAAcwsnNASqNGh0AAAAArkOgAwAAAMB1CHQAAAAAuA41OgAAAKgaFPNXDwIdAAAAVAXaM1cXUtcAAADger3Ho1q/62hakCNJA7FRrd91VL3HoxbNDOVSVKCzfft2NTY2yu/3q7m5Wfv378/rdS+//LKmTZumG264oZg/FgAAAChYImmosyeibIdHpq519kSUSNr+eEkUoOBAZ/fu3dqwYYPuv/9+9fX1afHixVq2bJlOnTo14etisZjWrFmjT3/600VPFgAcK5mQ+vdLr+4xPycTVs8IAKrG4f7hjJ2cSxmSorFRHe4frtykUHYFBzoPPfSQ1q5dq7vuukvXXXedtm3bpnnz5qmrq2vC1331q1/V7bffrpaWlqInCwCOFOmWtjVJf/9Z6dm15udtTeZ1AEDZDY7kDnKKGQdnKCjQeeedd3TkyBEtXbo07frSpUt18ODBnK/78Y9/rBMnTqijoyOvP+fChQuKx+NpHwDgSJFu6ek1UvxM+vV41LxOsAMAZTdnpr+k4+AMBQU6586dUyKRUG1tbdr12tpaDQwMZH3N7373O23evFlPPvmkpk3Lr8nbli1bFAwGxz7mzZtXyDQBwB6SCal3kzRRVnjvZtLYAKDMFjXOUijoV64m0h6Z3dcWNc6q5LRQZkU1I/B40m8TwzAyrklSIpHQ7bffrs7OTn34wx/O+///3nvvVSwWG/t44403ipkmAFjr5MHMnZw0hhQ/bY4DAJSNz+tRR3tYkjKCndTXHe1hztNxmYLO0bnqqqvk8/kydm8GBwczdnkkaWRkRK+88or6+vr0jW98Q5KUTCZlGIamTZumF154QTfffHPG62pqalRTU1PI1IDKSSbMhen5s9KMWqmhVfL6rJ4V7Oj82dKOAwAUra0ppK7VCzLO0anjHB3XKijQmT59upqbm7Vv3z59/vOfH7u+b98+fe5zn8sYHwgE9Oqrr6Zd2759u375y19qz549amxsLHLagEUi3WYq0qVP6QP1UttWKbzCunnBnmZkPgCa0jgAwJS0NYW0JFynw/3DGhwZ1ZyZZroaOznuVFCgI0kbN27UHXfcoYULF6qlpUWPP/64Tp06pXXr1kky085Onz6tnTt3yuv1qqmpKe31c+bMkd/vz7gO2F6qqHx8vUWqqHzlToIdpGtoNQPheFTZ63Q85vcbWis9MwCoWj6vRy3XzrZ6GqiAggOdVatWaWhoSA888ICi0aiampq0d+9eNTQ0SJKi0eikZ+oAjjNpUbnHLCqfv5w0NrzH6zN3+55eIzML/NL75+LTw7YHuWcAACgDj2EYtj8CNh6PKxgMKhaLKRAIWD0dVKP+/ebZJ5O585+kxsXlnw+cJWvK41wzyGEXEACAguQbGxS8owNUJYrKMRXhFeZuH00sAACoGAIdIB8UlWOqvD52+wAAqKCiztEBqk6qqHyio8YCcykqBwAAsAkCHSAfqaJySTmPGqOoHAAAwDYIdIB8hVeYLaQD4w4UC9TTWhoAAMBmqNEBCkFROQAAgCMQ6ACFoqgcAADA9khdAwAAAOA6BDoAAAAAXIdABwAAAIDrEOgAAAAAcB2aEQAAAAAVkEgaOtw/rMGRUc2Z6deixlnyeXMdRo6pItABAAAAyqz3eFSdPRFFY6Nj10JBvzraw2prCk3wShSL1DXAqZIJqX+/9Ooe83MyYfWMAABAFr3Ho1q/62hakCNJA7FRrd91VL3HoxbNzN3Y0QGcKNIt9W6S4mfeuxaol9q2moeaAgAAW0gkDXX2RGRk+Z4hySOpsyeiJeE60thKjB0dwGki3dLTa9KDHEmKR83rkW5r5gUAADIc7h/O2Mm5lCEpGhvV4f7hyk2qShDoAE6STJg7OTmfC0nq3UwaGwAANjE4kjvIKWYc8kegAzjJyYOZOzlpDCl+2hwHAAAsN2emv6TjkD8CHcBJzp8t7TgAAFBWixpnKRT0K1f1jUdm97VFjbMqOa2qQKADOMmM2tKOAwC4WiJp6NCJIT137LQOnRhSIpkt9Rnl5PN61NEelqSMYCf1dUd7mEYEZUDXNcBJGlrN7mrxqLLX6XjM7ze0VnpmACotmTDTVM+fNR9uNLRKXp/Vs4KNcG6LfbQ1hdS1ekHGf486/nuUlccwDNuH9vF4XMFgULFYTIFAwOrpANZKdV2TlB7sXHwStHInLaYBt6PFPCaROrdl/CIvtWfQtXoBi2sLJJKGDvcPa3BkVHNmmulq7OQULt/YgECnGvDUz32yLnLmSm0PssgB3G7sYUeOJSwPO6peImnoE1t/mbOlsUfmTsKBTTezyIYj5RsbkLrmdjz1c6fwCmn+cgJYoNpM2mLeY7aYn7+c3wdVrJBzW1qunV25iQEVRjMCN+NgSXfz+qTGxdJHbjM/s6gB3I8W88gD57YAJgIdt+JgSQBwH1rMIw+c2wKYCHTciqd+AOA+tJhHHji3BTAR6LgVT/0AwH1SLeYnWsIG5tJivspxbgtgItBxK576AYD7eH1mMxlJOZewbQ9Ss4exc1vqgunpaXVBP62lUTXouuZWHCwJAO4UXmG2kM7aUZMW83hPW1NIS8J1nNuCqkWg41app35Pr5H5lC/LwZI89QMAZ6LFPPLk83poIY2qRaDjZjz1AwD3SrWYBwBkRaDjdjz1AwAAQBUi0KkGPPUDAABAlaHrGgAAAADXIdABAAAA4DoEOgAAAABchxodAAAAwCYSSYOzj0qEQAcAAACwgd7jUXX2RBSNjY5dCwX96mgPq60pZOHMnInUNQAAAMBivcejWr/raFqQI0kDsVGt33VUvcejFs3MuQh0AAAAAAslkoY6eyIysnwvda2zJ6JEMtsI5EKgAwAAAFjocP9wxk7OpQxJ0dioDvcPV25SLkCNDuA0yYR08qB0/qw0o1ZqaDUPhQUAAI40OJI7yClmHEwEOoCTRLql3k1S/Mx71wL1UttWKbzCunkBAFyFzl+VNWemv6TjYCLQAZwi0i09vUYan8Ebj5rXV+4k2AEATBmdvypvUeMshYJ+DcRGs9bpeCTVBc2AE/mjRgdwgmTC3MmZqEyxd7M5DgCAItH5yxo+r0cd7WFJZlBzqdTXHe1hdtUKRKADOMHJg+npahkMKX7aHAcAQBHo/GWttqaQulYvUF0wPT2tLuhX1+oF7KYVgdQ1wAnOny3tOAAAximk81fLtbMrN7Eq0tYU0pJwHfVRJUKgAzjBjNrSjgMAYBw6f9mDz+shkCwRUtcAJ2hoNburZWTupnikwFxzHAAARaDzF9yGQAdwAq/PbCEtKWeZYtuDnKcDAChaqvPXBI/UFKLzFxyEQAdwivAKs4V0YFwxYqCe1tIAgCmj8xfcxmMYhu1bZ8TjcQWDQcViMQUCAaunA1grmTC7q50/a9bkNLSykwMAKBnO0YHd5RsbEOgAAFApPKiAQySSBp2/YFv5xgZ0XQMAoBIi3ebBv5eeiRWoN+vvSD2FzdD5C25AjQ4AAOUW6ZaeXpN58G88al6PdFszLwBwMQIdAADKKZkwd3ImOm++d7M5DgBQMgQ6AACU08mDmTs5aQwpftocBwAoGWp0CkERKQCgUOfPlnYcACAvBDr5oogUAFCMGbWlHQcAyAupa/mgiBQAMJlkQurfL726x/ycqrlpaDUfjE103nxgrjkOAFAy7OhMZtIiUo9ZRDp/OWlsAFCtJtv1b9tqPhiTR+nvJxeDn7YHeQ8BgBJjR2cyFJECACaSz65/eIW0cqcUGHeqfKDevE4KNACUHDs6k6GIFACQSyG7/uEV5mea2tgHTYYAVyPQmQxFpACAXArZ9W9cbC6iGxdXbHqYAE2GANcjdW0yFJECAHJh19+ZaDIEVAUCncl4febTHUmZwQ5FpABQ1dj1d55J0w1lphumuuYBcCwCnXxQRAoAyIZdf+ehyRBQNajRyRdFpACA8VK7/rSOdg7SDYGqQaBTCIpIAQDjpXb9sxa2P8iuv92QbghUDQIdAACmil1/50ilG8ajyl6n4zG/T7oh4HgEOgAqg/Mq4Hbs+r/Hzj/vpBsCVYNAB0D5cV4FUD2c8PNOuiFQFTyGYWTbt7WVeDyuYDCoWCymQCBg9XQAFCJ1XkVGisjFJ6d0LgTcw2k/73beeQKQU76xQVHtpbdv367Gxkb5/X41Nzdr//79Ocf+7Gc/05IlS/T+979fgUBALS0tev7554v5YwE4DedVANXDiT/vqXTDj9xmfibIAVyl4EBn9+7d2rBhg+6//3719fVp8eLFWrZsmU6dOpV1/EsvvaQlS5Zo7969OnLkiD71qU+pvb1dfX19U548AJvjvAqgevDzDsBmCq7Reeihh7R27VrdddddkqRt27bp+eefV1dXl7Zs2ZIxftu2bWlf/9Vf/ZWee+459fT06MYbbyxu1gCcgfMqgOrBz3tpkE4HlExBgc4777yjI0eOaPPmzWnXly5dqoMH83tCk0wmNTIyolmzZuUcc+HCBV24cGHs63g8Xsg0AdgF51UA1YOf96lzQiMHwEEKSl07d+6cEomEamvTf0nV1tZqYGAgr/+PH/zgB3rrrbe0cuXKnGO2bNmiYDA49jFv3rxCpgnALlLnVaQKkTN4pMBczqsA3ICf96lJNXIYn/4Xj5rXI93WzAtwsKKaEXg86b/EDMPIuJbNU089pe985zvavXu35syZk3Pcvffeq1gsNvbxxhtvFDNNAOWSTEj9+6VX95ifcxUXp86rkJS5+OG8CsBV+HkvnhMbOQAOUFDq2lVXXSWfz5exezM4OJixyzPe7t27tXbtWj3zzDP6zGc+M+HYmpoa1dTUFDI1AJVSaGpFpc+rIL8dsA7n0xSnkEYOHEqLMkgkDR3uH9bgyKjmzPRrUeMs+byTb2LYXUGBzvTp09Xc3Kx9+/bp85///Nj1ffv26XOf+1zO1z311FP68pe/rKeeekrLly8vfrYArJXrjIxUakWuMzLCK6T5y8sfgJDfDlivUj/vbkIjB1io93hUnT0RRWOjY9dCQb862sNqawpZOLOpK7jr2saNG3XHHXdo4cKFamlp0eOPP65Tp05p3bp1ksy0s9OnT2vnzp2SzCBnzZo1+tu//Vt9/OMfH9sNuvzyyxUMBkv4VwFQVpOmVnjM1Ir5y7MvaFLnVZRLsUEYrMUOnDuV++fdbWjkAIv0Ho9q/a6jGe/sA7FRrd91VF2rFzg62Ck40Fm1apWGhob0wAMPKBqNqqmpSXv37lVDQ4MkKRqNpp2p86Mf/Ujvvvuuvv71r+vrX//62PU777xTP/nJT6b+NwBQGXZOrZhqEAZrsAMHmFKNHOJRZf895jG/TyMHlFAiaaizJzLRO6c6eyJaEq5zbBpbwYGOJH3ta1/T1772tazfGx+8/OpXvyrmjwBgN3ZOrbBzEIbs2IED3pNq5PD0GpnLy0t/LmjkgPI43D+clq42niEpGhvV4f5htVw7u3ITK6Giuq4BFZFvZy9Uhp1TK+wchCETHaaATKlGDoFxaUKBegJ/lMXgSO4gp5hxdlTUjg5QdqS02I+dUyvsHIQhEztwQHY0ckAFzZnpL+k4O2JHB/bjpEPTqmnXyc5nZHBQobOwAwfklmrk8JHbzM8EOSiTRY2zFAr6J3rnVChotpp2KgId2IuTUloi3dK2JunvPys9u9b8vK3JXoFYqdk1tcLOQRgysQMHAJbzeT3qaA9LyvnOqY72sGMbEUiSxzCMbCtKW4nH4woGg4rFYgoEAlZPB+XUv98MGCZz5z9Zm9KSq5A69avB7fnUdm0JnDXlcS4HFdpNMmE+FJgsDXLDq/a4rwDAxZx4jk6+sQE1OrAXJ6S00MrYvmdkkN/uDHSYAgDbaGsKaUm4Tof7hzU4Mqo5M810NSfv5KQQ6MBenJDSQiG1vdk1CEO6VBpk1qYj7MABQCX5vB7HtpCeCIEO7MXOnb1SnLDrBDgBO3AAgDIi0IG9OCGlxQm7ToBTsAMHACgTuq7Bfuza2SuFVsYAAAC2x44O7MnOKS1O2HUCAACocgQ6sC87p7RQSA0AAGBrBDpAsey862RXdj1/BwAAuA6BDjAVdt51spush3nWm2mA7IABAIASoxkBgPKLdJs1TePPH4pHzeuRbmvmBQAAXItAB0B5JRPmTk7Wc5EuXuvdbI4DAAAoEQIdAOV18mDmTk4aQ4qfNscBAGATiaShQyeG9Nyx0zp0YkiJZLYHdrAzanQAlNf5s6UdBwDIDw1gitZ7PKrOnoiisdGxa6GgXx3tYbU1hSZ4JeyEQAdAec2oLe04AMDkaABTtN7jUa3fdTQj4XogNqr1u46qa/UCgh2HIHUNQHk1tJpvrqnDVDN4pMBccxwAYOpoAFO0RNJQZ09koqpSdfZESGNzCAIdAOXl9ZlPECVlBjsXv257kHQKACgFGsBMyeH+4bR0tfEMSdHYqA73D1duUigagQ6A8guvkFbulALjtvoD9eZ10igAoDRoADMlgyO5g5xixsFa1OgAqIzwCmn+cgpjARSP4vrJ0QBmSubM9Jd0HKxFoAOgcrw+qXGx1bMA4EQU1+eHBjBTsqhxlkJBvwZio1mT/zyS6oJ+LWqcVempoQikrgEAAHujuD5/NICZEp/Xo472sKScVaXqaA/L58317ws7IdABAAD2RXF9YWgAM2VtTSF1rV6gumB6elpd0E9raYchdQ0AANhXIcX1pMaaUg1gsqb6PejMVL8K12e1NYW0JFynw/3DGhwZ1ZyZZroaOznOQqADAADsi+L64ripAYxF9Vk+r0ct184u2/8/yo9ABwAA2BfF9cVzQwOYVH3W+NTFVH0WRxRgAtToAAAA+6K4vnpRn4UpItABAAD2RXF99eLwU0wRgQ4AALC3VHF9YFy3q0A9qUtuRn0WpogaHQAAnKzC3ags46bieuSH+ixMEYEOAABOZVE3Ksu4obge+UvVZ8Wjyl6n4zG/T30WciB1DQAAJ0p1oxpfw5DqRhXptmZecJ5kQurfL726x/xsl+J+6rMwRezoAADgNJN2o/KY3ajmL2cRiInZfVfQjYefomIIdAAAcJpCulGR6oVcnHJGDfVZKBKBDgAATkM3KkyV03YFqc9CEQh04EzV0mVoIvwboBpx35voRoWpYlcQVYBAB85j93ziSuDfANWI+/49dKPCVLEriCpA1zU4C12G+DdAdeK+T0c3KkwVu4KoAgQ6cI5J84ll5hPbpS1mOfBvgGrEfZ9dqhtVIJR+PVBvnyJy2FdqVzAjUE7xSIG57ArC0Uhdg3OQT8y/AaoT931udKNCsVK7gk+vkRnsXPoggV1BuAOBDpyDfGL+DTB1Tizm576fGN2oUCzOqIHLEejAOcgn5t8AU+PUYn7ue6B82BWEi1GjA+cgn5h/AxTPycX83PdAeaV2BT9ym/mZIAcuQaAD56DLEP8GKI7Ti/m57wEARSDQgbPQZciZ/wbJhNS/X3p1j/nZrgtqtyqkmN+unHjfAwAsRY0OrFdocXS2fOJ5H5Pe+H/MhXQ15Bc7KafaqXUhbuKWYn4n3fcAAMsR6MBaxS6CL+0yFOmWHr6++hbSTui0lKoLGZ8ylaoL4Ul8ZbipmN8J9z0AwBZIXYN1SlEc7eQCa7dzel2Im1DMj0ogRRWAzRDowBqlWASzkLY3N9SFuAXF/Ci3SLe0rUn6+89Kz641P29r4mET4GCJpKFDJ4b03LHTOnRiSIlktvWWvZG6BmuU4qRzTku3N7fUhbgFBwOiXEhRBVyn93hUnT0RRWOjY9dCQb862sNqawpN8Ep7IdCBNUqxCGYhbW9uqgtxC4r5UWqT7qx7zJ31+cu5zwCH6D0e1fpdRzN+qgdio1q/66i6Vi9wTLBDoANrlGIRzELa3lJ1IfGosi+CPOb3qQupLIr5UUrsrAOmQjvI2lQiaaizJzLRowt19kS0JFwnnzdX3ad9EOjAGqVYBLOQtrdUXcjTa2T+arz0vxF1IYArsLNeOJcsiHEJFx2jcLh/OC1dbTxDUjQ2qsP9w2q5dnblJlYkmhHAGqUojqbA2v4KOeSRjk2A87CzXhiaNriPy7q/Do7kDnKKGWc1dnRgnVIUR1NgbX/51IW46GkYUFXYWc8fTRvcx4U1anNm+ks6zmoewzBs3ysuHo8rGAwqFospEAhYPR0UY6Kt+lJs45MK4Fy53vxTu3K8+QP2NvYzLGVNUeVn2HyP2tY0QT3TxYBww6u8dzlJ/35zV24yd/6TY2rUEklDn9j6Sw3ERnM9ulBd0K8Dm262tEYn39iAHR2U32RP60tRHE2BtTO58GkYUHXYWZ8cTRvcyYU1aj6vRx3tYa3fdTRXda062sOOaEQgEeig3Niqx0R48wfcgdblE3PhghhybY1aW1NIXasXZJyjU8c5OsAleFqPlFyphbz5A+7BznpuLl0QVz0X16i1NYW0JFynw/3DGhwZ1ZyZfi1qnOWYnZwUAh2UD0/rIU2culiqN39qtADYmYsXxFXN5cco+LweR7SQngjtpVE+PK3HZG033xoy39wz2oOneKTA3Inf/GnXCsDuOA7BvQo5RgEVx44Oyoet+uqWT+riC/dJt2yRnvmiinoaRg0YAKegaYN7UaNmWwQ6KB+26qtbvqmLV8wu7s2fGjAATsOC2L2oUbMlAh2Uj8tzVzGJQlIXP3Jb4W/+1IABcCIWxEDFEOigvNiqr16Fpi4W+uZPDRgAAJgAgQ7Kj6366lTu1EVqwAAAwAQIdFAZbNVXn3KnLlIDBgAAJkB7aQDlU862m7RrBQAAE/AYhpHtUaitxONxBYNBxWIxBQIBq6cDoFDlPNAz64Gkc6kBAwDApfKNDUhdA0qlnIt5pytn6iI1YAAAIAsCHaAUsu4q1JupVewqlB81YAAAYJyianS2b9+uxsZG+f1+NTc3a//+/ROOf/HFF9Xc3Cy/369rrrlGjz32WFGTBWwp0m0W3I8/0yUeNa9Huq2ZFwAAQBUrONDZvXu3NmzYoPvvv199fX1avHixli1bplOnTmUd39/fr1tvvVWLFy9WX1+f7rvvPt1999169tlnpzx5wHLJhLmTk7Xr18VrvZvNcQAAAKiYgpsRfOxjH9OCBQvU1dU1du26667Tn/zJn2jLli0Z4zdt2qTu7m699tprY9fWrVun//iP/9ChQ4fy+jNpRgDb6t8v/f1nJx935z+RWgUAAFAC+cYGBe3ovPPOOzpy5IiWLl2adn3p0qU6ePBg1tccOnQoY/wtt9yiV155RX/4wx+yvubChQuKx+NpH4AtnT9b2nEAAAAoiYICnXPnzimRSKi2Nv2k8draWg0MDGR9zcDAQNbx7777rs6dO5f1NVu2bFEwGBz7mDdvXiHTBCpnRu3kYwoZBwAAgJIoqhmBx5N+OJ9hGBnXJhuf7XrKvffeq1gsNvbxxhtvFDNNoPwaWs3uahkHVqZ4zDNdGlorOSsAAICqV1Cgc9VVV8nn82Xs3gwODmbs2qTU1dVlHT9t2jTNnj0762tqamoUCATSPgBb8vrMFtKSMoOdi1+3PciZLgAAABVWUKAzffp0NTc3a9++fWnX9+3bp9bW7E+sW1paMsa/8MILWrhwoS677LICpwvYUHiFtHKnFAilXw/Um9c5RwcAAKDiCj4wdOPGjbrjjju0cOFCtbS06PHHH9epU6e0bt06SWba2enTp7Vz505JZoe1Rx55RBs3btRXvvIVHTp0SDt27NBTTz1V2r8JYKXwCmn+cunkQbPxwIxaM12NnRwAAABLFBzorFq1SkNDQ3rggQcUjUbV1NSkvXv3qqGhQZIUjUbTztRpbGzU3r179c1vflOPPvqo6uvr9fDDD+sLX/hC6f4WgB14fbSQBgAAsImCz9GxAufoAAAAAJDKdI4OAAAAADgBgQ4AAAAA1yHQAQAAAOA6BDoAAAAAXIdABwAAAIDrEOgAAAAAcB0CHQAAAACuQ6ADAAAAwHUIdAAAAAC4DoEOAAAAANch0AEAAADgOgQ6AAAAAFxnmtUTyIdhGJKkeDxu8UwAAAAAWCkVE6RihFwcEeiMjIxIkubNm2fxTAAAAADYwcjIiILBYM7ve4zJQiEbSCaTOnPmjGbOnCmPx2PZPOLxuObNm6c33nhDgUDAsnnAObhnUCjuGRSD+waF4p5Boex0zxiGoZGREdXX18vrzV2J44gdHa/Xq6uvvtrqaYwJBAKW/weGs3DPoFDcMygG9w0KxT2DQtnlnploJyeFZgQAAAAAXIdABwAAAIDrEOgUoKamRh0dHaqpqbF6KnAI7hkUinsGxeC+QaG4Z1AoJ94zjmhGAAAAAACFYEcHAAAAgOsQ6AAAAABwHQIdAAAAAK5DoAMAAADAdQh0AAAAALgOgc4427dvV2Njo/x+v5qbm7V///4Jx7/44otqbm6W3+/XNddco8cee6xCM4VdFHLP/OxnP9OSJUv0/ve/X4FAQC0tLXr++ecrOFvYQaG/Z1JefvllTZs2TTfccEN5JwjbKfSeuXDhgu6//341NDSopqZG1157rZ544okKzRZ2UOg98+STT+r666/XFVdcoVAopC996UsaGhqq0GxhtZdeeknt7e2qr6+Xx+PRL37xi0lf44Q1MIHOJXbv3q0NGzbo/vvvV19fnxYvXqxly5bp1KlTWcf39/fr1ltv1eLFi9XX16f77rtPd999t5599tkKzxxWKfSeeemll7RkyRLt3btXR44c0ac+9Sm1t7err6+vwjOHVQq9Z1JisZjWrFmjT3/60xWaKeyimHtm5cqV+td//Vft2LFD//mf/6mnnnpK8+fPr+CsYaVC75kDBw5ozZo1Wrt2rX7zm9/omWee0a9//WvdddddFZ45rPLWW2/p+uuv1yOPPJLXeMesgQ2MWbRokbFu3bq0a/Pnzzc2b96cdfxf/MVfGPPnz0+79tWvftX4+Mc/XrY5wl4KvWeyCYfDRmdnZ6mnBpsq9p5ZtWqV8Zd/+ZdGR0eHcf3115dxhrCbQu+Zf/7nfzaCwaAxNDRUienBhgq9Z/76r//auOaaa9KuPfzww8bVV19dtjnCviQZP//5zycc45Q1MDs6F73zzjs6cuSIli5dmnZ96dKlOnjwYNbXHDp0KGP8LbfcoldeeUV/+MMfyjZX2EMx98x4yWRSIyMjmjVrVjmmCJsp9p758Y9/rBMnTqijo6PcU4TNFHPPdHd3a+HChfr+97+vuXPn6sMf/rC+9a1v6b//+78rMWVYrJh7prW1VW+++ab27t0rwzB09uxZ7dmzR8uXL6/ElOFATlkDT7N6AnZx7tw5JRIJ1dbWpl2vra3VwMBA1tcMDAxkHf/uu+/q3LlzCoVCZZsvrFfMPTPeD37wA7311ltauXJlOaYImynmnvnd736nzZs3a//+/Zo2jV/Z1aaYe+b111/XgQMH5Pf79fOf/1znzp3T1772NQ0PD1OnUwWKuWdaW1v15JNPatWqVRodHdW7776rFStW6Ic//GElpgwHcsoamB2dcTweT9rXhmFkXJtsfLbrcK9C75mUp556St/5zne0e/duzZkzp1zTgw3le88kEgndfvvt6uzs1Ic//OFKTQ82VMjvmWQyKY/HoyeffFKLFi3Srbfeqoceekg/+clP2NWpIoXcM5FIRHfffbe+/e1v68iRI+rt7VV/f7/WrVtXianCoZywBubx4EVXXXWVfD5fxtOOwcHBjIg1pa6uLuv4adOmafbs2WWbK+yhmHsmZffu3Vq7dq2eeeYZfeYznynnNGEjhd4zIyMjeuWVV9TX16dvfOMbksxFrGEYmjZtml544QXdfPPNFZk7rFHM75lQKKS5c+cqGAyOXbvuuutkGIbefPNNfehDHyrrnGGtYu6ZLVu26KabbtI999wjSfroRz+qK6+8UosXL9b3vvc92zydh304ZQ3Mjs5F06dPV3Nzs/bt25d2fd++fWptbc36mpaWlozxL7zwghYuXKjLLrusbHOFPRRzz0jmTs4Xv/hF/fSnPyX/ucoUes8EAgG9+uqrOnbs2NjHunXr9Md//Mc6duyYPvaxj1Vq6rBIMb9nbrrpJp05c0bnz58fu/bb3/5WXq9XV199dVnnC+sVc8+8/fbb8nrTl4Q+n0/Se0/pgUs5Zg1sURMEW/rHf/xH47LLLjN27NhhRCIRY8OGDcaVV15p/P73vzcMwzA2b95s3HHHHWPjX3/9deOKK64wvvnNbxqRSMTYsWOHcdlllxl79uyx6q+ACiv0nvnpT39qTJs2zXj00UeNaDQ69vFf//VfVv0VUGGF3jPj0XWt+hR6z4yMjBhXX321cdtttxm/+c1vjBdffNH40Ic+ZNx1111W/RVQYYXeMz/+8Y+NadOmGdu3bzdOnDhhHDhwwFi4cKGxaNEiq/4KqLCRkRGjr6/P6OvrMyQZDz30kNHX12ecPHnSMAznroEJdMZ59NFHjYaGBmP69OnGggULjBdffHHse3feeafxyU9+Mm38r371K+PGG280pk+fbnzwgx80urq6KjxjWK2Qe+aTn/ykISnj484776z8xGGZQn/PXIpApzoVes+89tprxmc+8xnj8ssvN66++mpj48aNxttvv13hWcNKhd4zDz/8sBEOh43LL7/cCIVCxp/+6Z8ab775ZoVnDav827/924TrE6eugT2GwZ4kAAAAAHehRgcAAACA6xDoAAAAAHAdAh0AAAAArkOgAwAAAMB1CHQAAAAAuA6BDgAAAADXIdABAAAA4DoEOgAAAABch0AHAAAAgOsQ6AAAAABwHQIdAAAAAK7z/wOqmHyTlpvaFAAAAABJRU5ErkJggg==", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(10, 6))\n", "plt.scatter(X[t==1, 0], X[t==1, 1])\n", "plt.scatter(X[t==-1, 0], X[t==-1, 1])\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "You will now implement the **online version of the Perceptron algorithm** to classify this data set.\n", "\n", "As a reminder from the course, we will use an hyperplane $(\\mathbf{w}, b)$ to **predict** whether an input $\\mathbf{x}_i$ belongs to the positive class (+1) or negative class (-1) using the following function:\n", "\n", "$$\n", " y_i = \\text{sign}( \\langle \\mathbf{w} . \\mathbf{x}_i \\rangle + b)\n", "$$\n", "\n", "Our goal is to minimize the **mean square error** (mse) of the hyperplane on the training set:\n", "\n", "$$\n", " L(\\mathbf{w}, b) = \\frac{1}{N} \\, \\sum_{i=1}^N (t_i - y_i)^2\n", "$$\n", "\n", "By applying gradient descent on this loss function, we obtain the **delta learning rule**:\n", "\n", "$$\n", " \\Delta \\mathbf{w} = \\eta \\, \\sum_{i=1}^N (t_i - y_i) \\, \\mathbf{x}_i\n", "$$\n", "\n", "$$\n", " \\Delta b = \\eta \\, \\sum_{i=1}^N (t_i - y_i) \n", "$$\n", "\n", "The online version of the Perceptron is given by the following algorithm:\n", "\n", "$\\text{Initialize the weight vector } \\mathbf{w} \\text{ and the bias } b.$\n", "\n", "$\\textbf{for } M \\text{epochs:}$\n", "\n", "$\\qquad \\textbf{forall } \\text{examples } (\\mathbf{x}_i, t_i) :$\n", "\n", "$\\qquad \\qquad y_i = \\text{sign}( \\langle \\mathbf{w} . \\mathbf{x}_i \\rangle + b)$\n", "\n", "$\\qquad \\qquad \\mathbf{w} \\gets \\mathbf{w} + \\eta \\, (t_i - y_i) \\, \\mathbf{x}_i$\n", "\n", "$\\qquad \\qquad b \\gets b + \\eta \\, (t_i - y_i)$\n", "\n", "\n", "**Q:** Implement the algorithm based on the linear regression algorithm of exercise 3. The only difference is that the weight vector is now a vector... You will need to use `np.dot`. Use 20 epochs and a learning rate of 0.01 at first, but you can vary it later. Initialize the weight vector and the bias to 0. Make a plot of the mse during training." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Parameters\n", "eta = 0.01\n", "nb_epochs = 20\n", "N = len(t)\n", "\n", "# Initialize the weight vector and bias\n", "w = np.zeros(2)\n", "b = 0.\n", "\n", "# Perceptron algorithm\n", "losses = []\n", "\n", "for epoch in range(nb_epochs):\n", " loss = 0\n", " \n", " # Iterate over all training examples\n", " for i in range(N):\n", " # Prediction\n", " y_i = np.sign(np.dot(w, X[i, :]) + b)\n", " # Update the weight\n", " w += eta * (t[i] - y_i) * X[i, :]\n", " # Update the bias\n", " b += eta * (t[i] - y_i) \n", " # Loss mse\n", " loss += (t[i] - y_i)**2\n", " \n", " # Append \n", " losses.append(loss/N)\n", " \n", "plt.figure(figsize=(10, 6))\n", "plt.plot(losses)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Q:** Visualize the hyperplane. If we call $x_0$ and $x_1$ the two coordinates of the inputs, the equation of the hyperplane is:\n", "\n", "$$w_0 \\, x_0 + w_1 \\, x_1 + b = 0$$\n", "\n", "which takes the form:\n", "\n", "$$x_1 = - (w_0 \\, x_0 + b) / w_1$$\n", "\n", "You just need to draw a line between the two extremities of the hyperplane, for example between 0 and 1 or between `X[:, 0].min()` and `X[:, 0].max()`." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(10, 6)) \n", "\n", "# Data\n", "plt.scatter(X[t==1, 0], X[t==1, 1])\n", "plt.scatter(X[t==-1, 0], X[t==-1, 1])\n", "\n", "# Model\n", "x_min, x_max = X[:, 0].min(), X[:, 0].max()\n", "plt.plot([x_min, x_max], [-(x_min*w[0] + b)/w[1], -(x_max*w[0] + b)/w[1]])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Before going further, let's track the evolution of the classification error during learning, defined as the fraction of incorrectly classified examples during one epoch:\n", "\n", "$$\n", " \\epsilon = \\frac{\\text{Number of misclassifications}}{\\text{Number of samples}}\n", "$$\n", "\n", "**Q:** Modify your algorithm to compute the training error and the mse loss for each epoch. How do the training error and loss evolve during learning? Do you really need both?\n", "\n", "*Tips:* When iterating over each training example, you will need to increment a counter for misclassifications when your prediction `y_i` is different from `t[i]` (use `!=` for \"not equal\"). " ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Error: 0.0\n" ] }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Parameters\n", "eta = 0.01\n", "nb_epochs = 20\n", "N = len(t)\n", "\n", "# Initialize the weight vector and bias\n", "w = np.zeros(2)\n", "b = 0.\n", "\n", "# Perceptron algorithm\n", "errors = []\n", "losses = []\n", "for epoch in range(nb_epochs):\n", " loss = 0\n", " error = 0\n", " \n", " # Iterate over all training examples\n", " for i in range(N):\n", " # Prediction\n", " y_i = np.sign(np.dot(w, X[i, :]) + b)\n", " \n", " # Update the weight\n", " w += eta * (t[i] - y_i) * X[i, :]\n", " \n", " # Update the bias\n", " b += eta * (t[i] - y_i) \n", " \n", " # Loss mse\n", " loss += (t[i] - y_i)**2\n", " \n", " # Count misclassifications\n", " if t[i] != y_i :\n", " error += 1\n", " \n", " # Append \n", " losses.append(loss/N)\n", " errors.append(error/N)\n", " \n", "print(\"Error:\", error/N) \n", "\n", "plt.figure(figsize=(10, 6)) \n", "plt.scatter(X[t==1, 0], X[t==1, 1])\n", "plt.scatter(X[t==-1, 0], X[t==-1, 1])\n", "x_min, x_max = X[:, 0].min(), X[:, 1].max()\n", "plt.plot([x_min, x_max], [-(x_min*w[0] + b)/w[1], -(x_max*w[0] + b)/w[1]])\n", " \n", "plt.figure(figsize=(10, 6))\n", "plt.plot(losses, label=\"Loss\")\n", "plt.plot(errors, label=\"Error\")\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**A:** The training error and the loss vary together, by definition. The scale of the loss is somewhat arbitrary, while the error corresponds to what we want. If you have to choose, visualize the error.\n", "\n", "Both go down during learning (hopefully), but there are oscillations: this is due to the online version of the Perceptron, which is not stable." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Q:** Now is the time to play with the hyperparameters:\n", " \n", "1. Vary the learning rate `eta` between extreme values (from 0.000001 to 100.0). \n", "2. Increase the number of epochs `nb_epochs`.\n", "\n", "What does it change? " ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Error: 0.0\n" ] }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAzoAAAH5CAYAAABJUkuHAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjYuMSwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/av/WaAAAACXBIWXMAAA9hAAAPYQGoP6dpAAB8GUlEQVR4nO3deVhUZfsH8O/MsIwKjIKyKSLuIqapqaCkuWKK2qYtZost2mKm9mpvJWL9XrU3yzZts8VXM1Mr0ZRySdwo3BNwFzdkEUg2BWTm/P44gCLbDM7MWeb7uS4uLk4PcBsH5rnPcz/3oxEEQQAREREREZGKaKUOgIiIiIiIyNqY6BARERERkeow0SEiIiIiItVhokNERERERKrDRIeIiIiIiFSHiQ4REREREakOEx0iIiIiIlIdJ6kDMIfJZMKlS5fg7u4OjUYjdThERERERCQRQRCQn58Pf39/aLU1r9soItG5dOkSAgICpA6DiIiIiIhk4sKFC2jRokWN/10RiY67uzsA8R/j4eEhcTRERERERCSVvLw8BAQEVOQINVFEolNerubh4cFEh4iIiIiI6tzSwmYERERERESkOkx0iIiIiIhIdZjoEBERERGR6jDRISIiIiIi1WGiQ0REREREqsNEh4iIiIiIVIeJDhERERERqQ4THSIiIiIiUh0mOkREREREpDpMdIiIiIiISHWY6BARERERkeow0SEiIiIiItVhokNERERERKrDRIeIiIiIiFSHiQ4REREREakOEx0iIiIiIlIdJjoWKi41Sh0CERERERHVwUnqAJTmlZWHYBIEvDUyGAGeDaUOh4iIiIiIqsFExwIpWYXYcjQDpSYBO05exkv3tMWzd7eGq5NO6tCIiIiIiOgmLF2zQFDTRtj4Sjj6tPZE0XUT3vv9BIZ9sAPbj2dKHRoREREREd2EiY6F2vu4Y+WzffDhw93g7e6Ks9lX8eQ3e/H8//bh4j9XpQ6PiIiIiIjARKdeNBoNRndrjq3T++OZfkHQaTX4LSkDg9+Pw6d/nGLDAiIiIiIiiWkEQRCkDqIueXl5MBgMyM3NhYeHh9ThVHE8PR+z1yXir5QcAGKJ25xRndG/fTOJIyMiIiIiUhdzcwOu6FhBB193/PCcWM7WzN0VKVmFeOLrBExevh+pV65JHR4RERERkcNhomMl5eVs26b3x8SycrZNiekYvJDlbERERERE9sbSNRs5lp6H2b8kIeGsWM7Wuqyc7W6WsxERERER1RtL1yTW0dcDq57vgw/GdUVTN1ecySrEhK8T8MKK/bjEcjYiIiIiIptiomNDGo0G993ZAttm9MfTfcVyto1H0jFoYRwWbz+FklKT1CESEREREakSS9fs6GhaHmavS8Tes/8AAFo3a4S5o0LQr11TiSMjIiIiIlIGlq7JUCc/D/z4fCjeH1tWzna5EOOX/oUXVxxAWi7L2YiIiIiIrIWJjp1pNBrc310sZ3uqbytoNcCvR9IwaGEcPos7zXI2IiIiIiIrsDjR2bFjByIjI+Hv7w+NRoNffvmlzs+Ji4tDjx49oNfr0bp1a3z22Wf1iVVVPPTOiIrsjA0vh6NnYBNcLTFi/qZjGP7hDuw+lSV1eEREREREimZxolNYWIiuXbvik08+MWt8SkoK7r33XoSHh+PgwYP497//jSlTpmDt2rUWB6tGwf4eWD0pFAsf6oqmbi44fbkQj331F178nuVsRERERET1dVvNCDQaDX7++WeMGTOmxjEzZ85ETEwMjh49WnFt0qRJOHz4MOLj4836PmppRlCX3GvX8cHmE1gWfxYmAWjoosMrg9rhqb5BcHFilSERkaMxmgQkpOQgM78I3u569AryhE6rkTosIiJJmZsbONk6kPj4eAwdOrTStWHDhmHp0qW4fv06nJ2dq3xOcXExiouLKz7Oy8uzdZiyYGjgjDmjOuOhni0we10S9p/7B/M2HcPq/Rcxd1RnhLVldzYiIkcRm5iG6PXJSMstqrjmZ9AjKjIYESF+EkZGRKQMNl8mSE9Ph4+PT6VrPj4+KC0tRVZW9XtR5s2bB4PBUPEWEBBg6zBlpbO/AaufD8V7D3WFVyMXnMoswKNf/YWXvj+A9Jte8IiISJ1iE9MwefmBSkkOAKTnFmHy8gOITUyTKDIiIuWwSz2URlN5mb28Wu7W6+Vef/115ObmVrxduHDB5jHKjVarwYM9WmDbjAF4IjQQWg2w4e80DFq4HV/sOI3rRnZnIyJSI6NJQPT6ZFRXV15+LXp9Mowm2R+DR0QkKZsnOr6+vkhPT690LTMzE05OTvDy8qr2c1xdXeHh4VHpzVEZGjgjenQIYl7qh+4tG6OwxIj/bDyGez/ciT2n2Z2NiEhtElJyqqzk3EwAkJZbhISUHBhNAuJPZ2PdoVTEn85m8kNEdBOb79EJDQ3F+vXrK137/fff0bNnz2r351D1QpobsGZSGNYcuIj5m47hZGYBHv3yL4zq6o83RnSCj4de6hCJiMgKMvPNK1HekpyOaT8e4h4eIqIaWLyiU1BQgEOHDuHQoUMAxPbRhw4dwvnz5wGIZWcTJkyoGD9p0iScO3cO06ZNw9GjR/H1119j6dKlmDFjhnX+BQ5Eq9VgbM8A/DF9AB7vI5azxRy+hIHvbceXO86wnI2ISAW83c17cLV091nu4SEiqoXF7aW3b9+Oe+65p8r1J554At9++y2efPJJnD17Ftu3b6/4b3FxcXj11VeRlJQEf39/zJw5E5MmTTL7ezpKe2lLJabm4q11iTh4/goAoJ23G+aODkFom+pLAomISP6MJgH9FmxDem5Rtft0NAA0GqCmKjUNAF+DHrtmDmQraiKwTbsamZsb3NY5OvbCRKdmJpOANfsvYn7sMeQUlgAARnfzx7/vZTkbEZFSlXddA1Ap2dHc8nFtVj7bhw++yOGxTbs6mZsb8BRKhdNqNRh7VwC2Te+P8X1aQqMB1h26hEEL4/DVTpazEREpUUSIH5aM7w5fQ+UHVr4GPZ7u28qsr2HuXh8itWKbduKKjhRMRuDcHqAgA3DzAQLDAK3OKl/6yEWxnO3QhSsAgPY+Yjlbn9Z8qkdEpDTVldwkpOTgkS//rPNzuaJDjqy8BLSmDoYs8VQ2c3MDm3ddo1skxwCxM4G8SzeuefgDEQuA4FG3/eW7tDDgp8lhWL3/AuZvOoYTGQV4+Is/MaasnM2b5WxERIqh02qqJCu9gjzhZ9DXuofH1yAmRUSOypI27XwgoF4sXbOn5BjgxwmVkxwAyEsTryfHWOXbaLUajLurJf6YMQCP9RbL2X45dAkDF8Zh6a4UlLKcjYhIsXRaDaIigwGISc3Nyj+OigzmU2pyaOaWbu4+dZnnUKkYS9fsxWQEFoVUTXIqaMSVnalHrFbGVu7vi1fw1i+JOHwxFwDQwccdc0d3Rm+Ws1E9sHsNkTxwkzVRzeJPZ5tV4nkz/v4oB7uuyU3KTuC7kXWPe2IDEBRu9W9vMglYte8C3o09hn+uXgcA3Hdnc7x+b0ezz2wg4sSKSF744IGoenW1aa9O+W/OkvHd+Zomc+y6JjcFGdYdZyGtVoNHerXEtukD8GhZOdvPB1Mx6L04fM1yNjIDu9cQyU/5Hp7R3ZojtI0XkxyiMrWVeNakPCGKXp/MMjaVYKJjL24+1h1XT00aueA/93XBLy/0xR0tDMgvLsXcDckY+fEuJKTk2PR7k3IZTQKi1ydX+1SMLwxERCRHNbVpr83NTQpI+Zjo2EtgmLgHp8bnChrAo7k4zg66BjTGzy/0xX/u64LGDZ1xLD0fYz+Px7RVh3j2AlVhSfcaIiIiuYgI8cOumQOx8tk++PDhbnjpnrZmfR7nQurARMdetDqxhTSAGvvkRMy3eiOC2ui0GjzauyX+mD4Aj/QSy9l+Kitn+2Y3y9noBnP/4POFgYiI5ObmEs++bZua9Tncv6wOTHTsKXgUMHYZ4HHLBjcPf/G6Fc7RqY8mjVww7/4u+Pmmcrbo9WI5276zfEJP5v/Bl/qFwWgSEH86m61CiYioWuXnUNVSXwM/nkOlGuy6JgWTETi3R2w84OYjlqvZcSWnNkaTgB/2nse7sceRe03szvZA9xaYNbwjmrm7ShwdSaWu7jVyOGGaHeGIiMgc5c11AFR6TWPXNeVge2m6LTmFJXg39hh+2HsBAOCud8KMoR3wWO+WcNJxIdARyfmFoTy2W/+YySE2IiKSHz4cUzYmOmQVB8//g9nrknAkVTxsNNjPA2+P6YwegVzSdURyfGEoX22qqVmCHFabiIhIfngOlXIx0SGrMZoErEw4j//+dqOc7cEeYjlbUzeWszkaub0wmHv69cpn+yC0jZcdIiKi6sjtbwcRKZe5uYGTHWMihdJpNRjfJxDDQ3zxbuxxrNp3AWv2X8TvSemYMawDHusdyBcrB1LevUYu2BGOSP7kuBpMROrHzRZkNi83Vyx48A789EIYOvt7IK+oFLPXJWHUJ7uw/9w/UodHDkopHeGIHFX5Hrpby0vTc4swefkBxCamSRQZEakdEx2yWPeWTRDzUj+8PSYEHnonJF3KwwNL9uBfaw4ju6BY6vDIwbBVKJF8GU0CotcnV9utsfxa9PpktoInIptgokP1otNq8HifQPwxYwDG9mwBAPhx30Xc8952/C/+LF+0yG50Wg2iIoMB1HgUL6Iig1leSSSBhJScGhuFAGKyk5ZbhIQUntlGRNbHRIdui5ebK959sCvWTg5DsJ9YzvbWuiSM/nQXDpxnORvZR0SIH5aM7w5fQ+XyNF+Dnq2liSTEPXRE8uCoB2qzGQFZRY/AJlj/cj+s+Osc3vvtOBJT83D/4j0Y1zMA/4roAC92ZyMbiwjxw5BgX3Z1IpIR7qEjkp4jNwNhe2myuqyCYizYdAyr918EABgaOGPGsA54tFdLTjqJiBxI+TlX6blF1e7T4TlXRLal1gO1zc0NWLpGVtfUzRX/fagr1k4ORbCfB3KvXcdbvyRi9Ke7cJDlbEREDoN76Iikw2YgTHTIhnoEeiLmpb6IHtUZ7nonJKbm4b7FezBr7d/IKSyROjwiIrID7qEjkgabgXCPDtmYk06LJ8Ja4d4uflgQewxr9l/ED3svYFNiOv4V0QEP38VyNiIiteMeOiL7YzMQruiQnTRzd8V7D3XFmkmh6FRWzvbGz4m4b/FuHLpwRerwiIjIxnRaDULbeGF0t+YIbePFJIfIxtgMhIkO2VnPVp5Y/1JfzIkMhrurE/6+mIv7Fu/G6z+xnI2I7MNR26wSkWPhgdrsukYSupxfjHmbjuKnA6kAgMYNnfGvYR0x7q4AVT/pM5oElm8QScSR26wSkeMp77oGoFJTAkfpusZEhyS392wO3volEcfS8wEAXVsYMHd0CLoGNJY2MBvgJItIOmpts0pEVBs1zj2Y6JCilBpN+N+f5/D+7yeQX1wKjQZ4+K6W+NewDmjSyEXq8KyCkywi6ZSf51JTByKe50JEaqa2ahKeo0OK4qTT4qm+Qdg6oz/uv7M5BAFYmXAe9yzcjpUJ52GqRw29nOrw2cueSFpss0pEjsxRm4GwvTTJire7Hu+P64ZxdwUgKiYJx9Lz8fpPR/DD3gt4e3Rn3NGisVlfR27LtJZMsnoFearqqQvZn9qe3FkD26wSETkeJjokS71be2HDy/2wLP4c3t98AocvXMHoT3fj0V4t8dqwDmjcsOZytppKxNJzizB5+QFJSsTMnTxtTk7HtB8PySZBI+WRW5IvF2yzSkTkeFi6RrLlpNPi6X5B2Da9P+4rK2db8dd53PPedvxQQzmbXEvEzJ08fb37bJWVn/IELTYxzRahkYqUJ/m8h6pim1UiIsfDRIdkz9tDjw/GdcOq5/qgg487/rl6HbN+OoL7l+zBkYu5lcbKtQ6/rkkWANRUWcQ9PGQOuSb5Uqhuf55Oq0FUZDAAVPk9LP84KjLY4Uv8iIjUhIkOKUbv1l7YMKUf3hzRCW6uTjh04QpGfboLb/5yBFeuioeNyrUO35xJVm3zT26UprrINcm3t9jENPRbsA2PfPknXvnhEB758k/0W7ANsYlpiAjxw5Lx3eFrqLzC6mvQs+shEZEKcY8OKYqzTotnwltjVFd//GfjUfxy6BKW/3keG4+kY2ZEB7Ro0tCsryNFHX75JOvW/RO+Bj3uDfHF0t1n6/wa3ChNNZFrkm9P5u7PGxLsy2YNREQOgIkOKZK3hx6LHr4TD/dqidnrEnEiowAz1x5Bt4DGaOrmguyCkmpLeMrPypCqDr+mSVZCSo5ZiQ43SlNNHH2zfV2lexqIpXtDgn0r2qwSEZG6sXSNFK1Pay/8OiUcb47ohEYuOhy6cKXWJAeQvg6/ul723ChNt8vR7yGW7hER0a2Y6JDilZezbZsxAKO6+lckObfmMnKuw+dGabpdjn4PsXSPqG5yOkibyB5Yukaq4eOhx0eP3ImHewVg9roknMosAAC08mqI5+5ug3F3Bch6klfbHh5HPwOFzOPI95Cjl+4R1YVnbJEj0giCIPt0Pi8vDwaDAbm5ufDw8JA6HFKA60YTvtmdgg+3nERhiRFaDTC+TyCmD+kAQ0NnqcOrFU+1p9sl13vIlnEZTQL6LdiG9NyiWvfn7Zo5sMbvKdf/b1R//JmKamrUUf5/Qq7VDkQ1MTc3YKJDqpaeW4T/23gU6w9fAgB4NXLBrOEd8UD3FtA64IsdkVTs8TS5fDIHoNKEzpzJHJ92qw9/pqLyhwA17WEz5yEAkdyYmxtwjw6pmq9Bj48fuRPfP9Mbbb3dkF1YgtfW/I2HPo9H0qXcur8AEd228gTk1olWedvn2MQ0q3yf+p6TY6/4yH74M72BjTrIkXFFhxxGSWlZOdvWk7haVs72eJ9ATBvaAYYG8i5nI1IqKZ4mW1KuxKfd6sOfaWXrDqXilR8O1Tnuw4e7YXS35rYPiMgKuKJDdAsXJy2e798GW6f3x8g7/GASgO/iz2HQwu1Ys/8iTOw+Q2R1UjxNrq6Fu5ziI9viz7QyNuogR8ZEhxyOn6EBPnm0O1Y80xttmjVCVkEJZqw+jLGfxyP5Up7U4RGpitzbPss9PrKc3H6mUrd0dvQztsixsb00Oay+bZti0yt34+vdKfho60nsO/cPRn68ExNCW+HVIe1ZzkZkBXJ/miz3+MhycvqZyqEhQvkZW5OXH4AG1TfqUPMZW+TYuKJDDs3FSYtJ/dtgy7T+GNFFLGf7ds9ZDFq4HWv3X4QCtrARyZrcnybLPT6ynFx+pnJqiFDfRh1ESsdmBEQ32XUyC7NjEnHmciEA4K5WTTB3dAg6+fG+I6qv22n7bA9yj48sJ/XPVK4NEXiuEKkFmxEQ1UO/dk0R+8rdmBnREQ2cddh79h+M/HgXotcnIa/outThESmS3J8myz0+spzUP1O5NkSwpFEHkRpwRYeoBpeuXMM7vyZj45F0AEBTN1e8MaIjxnRrDo2GLw5ElpL702S5x0eWk+pnypbORLZlbm7AZgRENfBv3ACLH+uBHScuY05MEs5kFeLVVYex8q8LmDumMzr6MukmskT502S5knt8ZDmpfqZyaohA5MhYuuYITEYgZSdwZI343mSUOiJFubt9M2yaGo5/RXRAA2cdEs7mYMRHu/D2hmTks5yNiIhuIZeGCESOjqVrapccA8TOBPIu3bjm4Q9ELACCR0kXl0KlXrmGdzYkY1OiWM7WzN0Vb9zbCaO7+bOcjYiIKkjdEIFIzczNDZjoqFlyDPDjBFT+EwtU/Jkdu4zJTj3FlZWzpWSJ3dl6BXni7dEh6ODrLnFkREQkF3I4R4dIjZjoODqTEVgUUnklpxKNuLIz9Qig1dk1NLUoLjXiq50p+HjbSRRdN0Gn1eCpsFZ4ZXA7uOt52CgREbHJBZEtMNFxdCk7ge9G1j3uiQ1AULjt41Gxi/9cxTsbjiI2SSxn83Z3xRsjOmFUV5azkX1wIkVERI6EXdcchckInNsDFGQAbj5AYJi4QlOQYd7nmzuOatSiSUN89ngPbD+eiTkxSTibfRWv/HAI3/91Hm+PCUF7H5azke2wNIaIiKh6XNFRstoaDTRowhUdCRSXGvHljjP45I9TKLpugpNWg6f6tsIrg9vDzZXPFci6yjc717ALj5udiYhIlczNDdheWqnKGw3cugcnL028fjVbTHpqa27p0VxcASKrcXXS4aWB7bBlWn8M6+yDUpOAL3emYNDC7Yg5fAkKeK5ACmE0CYhen1wlyQFutB+JXp8Mo4n3HBEROSYmOkpkMoorObVNcX77NzB0Xtm1W5Odso8j5rMRgY20aNIQnz/eE988dRcCvRoiI68YU1YexKNf/oWTGflSh0cqkJCSU6lc7VYCgLTcIiSk5NgvKCIiIhlhoqNE5/bU0k0NAAQgLxVo5CW2kPa4pXTFw5+tpe3kng7e+G3q3Zg+pD1cnbSIP5ON4R/uxH82HkVBcanU4ZGCZebXnOTUZxwREZHacNOAElnSaKDLg0DHEdU3LCC70Dvr8PKgdhhzZ3PM3ZCMzckZ+GLHGaw7lIo3RwRj5B1+7M5GFvN211t1HBERkdow0VEiNx/Lxml1bDggAwGeDfHlhJ7441gm5qxPwrnsq3h55UGsTDiPuaM7o603u7OR+XoFecLPoEd6blG1RawaAL4GsdW0NbGVNRERKQW7rilRxWGgaah+nw4PA5W7outGfLHjDD794xSKS8XubBP7BWHKoHZoxO5sZKbyrmtA5b8Etuq6xlbWREQkB+y6pmZandhCGgAbDSiT3lmHKYPE7myDO4nd2T7fcQaDFsZhw9/szkbmiQjxw5Lx3eFrqFye5mvQ2yTJmbz8QJUGCOm5RZi8/ABiE9Os9r2IiIisgSs6SlbtOTrNxSSHjQYUZevRDESvT8b5nKsAgL5tvRA9KgRtvd0kjoyUwNblZEaTgH4LttXY5a28TG7XzIEsYyMiIpszNzdgoqN0JiMbDahE0XUjPo87g8XbxXI2Z50GE/u1xssD27KcjSQVfzobj3z5Z53jVj7bB6FtvOwQEREROTKblq4tXrwYQUFB0Ov16NGjB3bu3Fnr+BUrVqBr165o2LAh/Pz88NRTTyE7O7s+35puVd5ooMuD4nsmOYqld9bhlcHtsPnV/hjcyRvXjQI+izuNwe/H4de/01jORpJhK2siIlIiixOdVatWYerUqXjjjTdw8OBBhIeHY/jw4Th//ny143ft2oUJEyZg4sSJSEpKwurVq7F3714888wztx08kRq19GqIr564C19N6IkAzwZIyy3Ci98fwONLE3Aqs0Dq8MgBsZU1EREpkcWla71790b37t2xZMmSimudOnXCmDFjMG/evCrj33vvPSxZsgSnT5+uuPbxxx/j3XffxYULF6r9HsXFxSguLq74OC8vDwEBASxdI4dTdN2IJdtPY0ncaZSUlbM9Ey6WszV0YTkb2Uf5Hp26Wllzjw4REdmDTUrXSkpKsH//fgwdOrTS9aFDh2LPnj3Vfk5YWBguXryIjRs3QhAEZGRkYM2aNRgxYkSN32fevHkwGAwVbwEBAZaESaQaemcdXh3SHptfvRsDO4rlbEu2n8bghXHYeITlbGQfOq0GUZHBAGrs84ioyGAmOUREJCsWJTpZWVkwGo3w8al8YKWPjw/S09Or/ZywsDCsWLEC48aNg4uLC3x9fdG4cWN8/PHHNX6f119/Hbm5uRVvNa38EDmKQK9G+PpJsZytRZMGuJRbhBdWHMCErxNw+jLL2cj27NnKmoiIyBrqVfui0VR+aicIQpVr5ZKTkzFlyhTMnj0bw4YNQ1paGl577TVMmjQJS5curfZzXF1d4erqWp/QiFRtcLAP+rVrisXbT+OzuNPYeTILEYt24Nnw1niJ5WxkYxEhfhgS7GvTVtZERETWYtEenZKSEjRs2BCrV6/GfffdV3H9lVdewaFDhxAXF1flcx5//HEUFRVh9erVFdd27dqF8PBwXLp0CX5+dT8FZHtpoqrOZRdiTkwS/jh+GQDgb9BjdmQwhnX2rfHBAxEREZHS2WSPjouLC3r06IHNmzdXur5582aEhYVV+zlXr16FVlv52+h0Ygtk7i8gqr/ycrYvJ/RE88ZiOduk5QfwxDd7cYblbEREROTgLG4vPW3aNHz11Vf4+uuvcfToUbz66qs4f/48Jk2aBEDcXzNhwoSK8ZGRkfjpp5+wZMkSnDlzBrt378aUKVPQq1cv+Pv7W+9fQuSANBoNhgT7YMu0/pgysC1cdFrsOHEZEYt24r+/HcPVklKpQyQiIiKShMUF/ePGjUN2djbmzp2LtLQ0hISEYOPGjQgMDAQApKWlVTpT58knn0R+fj4++eQTTJ8+HY0bN8bAgQOxYMEC6/0riBxcAxcdpg3tgPu7t8Cc9UnYfvwyPv3jNH45eAlvjQzGsM4+LGcjIiIih2LxOTpS4B4dACYjcG4PUJABuPkAgWGAVid1VCRDgiDg9+QMzF2fjNQr1wAA/ds3w5xRnRHUtJHE0RERERHdHnNzAyY6SpAcA8TOBPIu3bjm4Q9ELACCR0kXF8natRIjFm8/hc/jzqDEaIKLTovn7m6NF+9piwYuTJKJiIhImZjoqEVyDPDjBKDKeeRlZUhjlzHZoVqlZBUiKiYJO06I3dmaN26A2ZHBGBrMcjYiIiJSHpt0XSM7MxnFlZwqSQ5uXIudJY4jqkFQ00b47qm78Nn4HmjeuAFSr1zD8//bj6e+3YuzWYVSh0dERERkE0x05OzcnsrlalUIQF6qOI6oFhqNBhEhvtg87W68eE8bOOs02H78MoZ+sAPv/34c10qYLBMREd3MaBIQfzob6w6lIv50Nowm2RdB0S14jLqcFWRYdxw5vIYuTnhtWEc80L0FomKSsPNkFj7adgprD6QiKjIYQ1jORkREhNjENESvT0ZablHFNT+DHlGRwYgIqfuwe5IHrujImZuPdccRlWndzA3Lnu6FJY91h79Bj9Qr1/Dc//bj6W/34lw2y9mIiMhxxSamYfLyA5WSHABIzy3C5OUHEJuYJlFkZCkmOnIWGCZ2V0NNT9g1gEdzcRyRhTQaDYZ38cOW6f3xwgCxnO2P45cx5IMdeH/zCRRdZzkbERE5FqNJQPT65Np2RyN6fTLL2BSCiY6caXViC2kAVZOdso8j5vM8HbotDV2c8K+IjoidejfC2zVFSakJH209icHvx2FLsnLLIllbTURElkpIyamyknMzAUBabhESUnLsFxTVG/foyF3wKLGFdLXn6Mxna2mymjZl5WybEtPx9oZkXPznGp5Ztg8DO3ojKjIYgV7KOWyUtdVERFQfmfk1Jzn1GUfS4jk6SmEyit3VCjLEPTmBYVzJIZspLC7FJ3+cwlc7z+C6UYCLkxaT+7fB5AFtoHeW931XXltdw8lTWDK+O5MdIiKqVvzpbDzy5Z91jlv5bB+EtvGyQ0RUHZ6jozZaHRAUDnR5UHzPJIdsqJGrE2ZGdMSmV+5Gv7ZiOduHW09iyAdx2HpUvuVsrK0mIqLb0SvIE34GfW27o+Fn0KNXkKc9w6J6YqJDRDVq6+2G/03shU8f7Q5fDz0u5FzDxO/24Znv9uJCzlWpw6uCtdVERHQ7dFoNoiKDAdS4OxpRkcHQaXkUgxIw0SGiWmk0Goy4ww9bp/fH8/1bw0mrwZajmRj8fhw+3HJSVt3ZWFtNRES3KyLED0vGd4evQV/puq9Bz/JnhWEzAiIySyNXJ7w+vBMe6tECs9clYc/pbHyw5QTWHriIOaOCMbCj9Oc5ebvr6x5kwTgiInJMESF+GBLsi4SUHGTmF8HbXSxX40qOsrAZARFZTBAE/HokDW9vSEZGXjEAYHAnH0RFBiPAs6FkcRlNAvot2Ib03KJq9+loID6R2zVzIF+siIiIFIrNCIjIZjQaDUbe4Y+t0wfg+bvLy9kyMPj9OHy0VbpyNtZWExERUTmu6BDRbTuZkY/Z65IQfyYbABDo1RBzRnXGPR28JYmH5+gQERGpl7m5ARMdIrIKQRCw4e80vPPrjXK2ocE+eGukNOVsRpPA2moiIiIVYqKjNDwQlFSioLgUH209ia93paDUJMDVSYuX7mmLZ+9uLfvDRomIiEj+mOgoSXIMEDsTyLt045qHPxCxAAgeJV1cRLfhREY+Zq9LxJ9nxDNrWpWVsw2QqJyNiIiI1IGJjlIkxwA/TgCq9IgqK7EZu4zJDimWIAiIOXwJ//frUWTmi+VswzqL5WwtmkjXnY2IiIiUi13XlMBkFFdyqm2EW3YtdpY4jkiBNBoNRndrjq3T++PZ8CDotBr8liR2Z/tk20kUl/LeJiIiIttgoiOlc3sql6tVIQB5qeI4IgVz1zvjjRHB2DglHL2DPFF03YT3fj+BiEU7EXfistThERERkQox0ZFSQYZ1xxHJXAdfd/zwXB98+HA3NHN3RUpWIZ74OgGT/rcfqVeuSR0eERERqQgTHSm5+Vh3HJEClJezbZveH8/0E8vZYpPSMWjhdnz6xymWsxEREZFVMNGRUmCY2F2tyhnu5TSAR3NxHJHKuOud8eZIsZytV1k5239/O46IRTuxg+VsREREdJuY6EhJqxNbSAOomuyUfRwxn+fpkKp18HXHquf6YNG4G+VsE75OwOTl6i1nM5oExJ/OxrpDqYg/nQ2jSfbNL4mIiBSH7aXloNpzdJqLSQ5bS5MDySu6jkWbT+K7+LMwmgQ0cNbh5UFt8Uy/1nBxUsdzmdjENESvT0ZablHFNT+DHlGRwYgI8ZMwMiIiImXgOTpKYzKK3dUKMsQ9OYFhXMkhh3UsPQ+zf0lCwlnxsNHWzRohelRnhLdrJnFktyc2MQ2Tlx+o6dQsLBnfnckOkY0YTQISUnKQmV8Eb3c9egV5QqetqXSciOSMiQ4RKZogCPjlUCr+79djyCoQDxu9t4sv3hwRDP/GDSSOznJGk4B+C7ZVWsm5mQaAr0GPXTMHcvJFZGVcSSVSFx4YSkSKptFocN+dLbBtRn881bcVtBpg45F0DFoYhyXbT6Ok1CR1iBZJSMmpMckBxCOC03KLkJCSY7+giBxA+Urqrb9/6blFmLz8AGIT0ySKjIhsjYkOEcmah94ZUZGd8euUcNzVqgmuXTdiQewxRHy4A7tOZkkdntky82tOcuozjojqZjQJiF6fXKVcFEDFtej1yWwIQqRSTHSISBE6+Xngx+dD8f7Yrmjq5oIzlwsxfulfePH7A0jLlX93Nm93vVXHEVHduJJK5NiY6BCRYmg0GtzfvQW2Th+AJ8PEcrZf/07DoIVx+CxO3uVsvYI84WfQ13ZqFvwM4gZpIrIOrqQSOTYmOkSkOIYGzpgzqjM2vByOnoFNcLXEiPmbjmH4hzuw+5Q8y9l0Wg2iIoMB1HhqFqIig9mIgMiKuJJK5NiY6BCRYgX7i+Vs7z0klrOdvlyIx776Cy99fwDptZSrSCUixA9LxneHr6HypMrXoGdraSIb4EoqkWNje2kiUoXca9fxweYTWBZ/FiYBaOiiwyuD2uGpvkGyO2yU53kQ2U951zUAlZoS8PwqIuXiOTpE5JCSLuVi9rok7D/3DwCgrbcb5o7qjLC2TSWOjIikwnN0iNSFiQ4ROSyTScDaAxcxf9MxZBeWAAAiu/rjjXs7VSkbIyLHwJVUIvVgokMEACYjcG4PUJABuPkAgWGAVid1VGQnuVev4/3Nx/G/P8/BJACNXHSYOrg9nuzbCs46eZWzERERkXmY6BAlxwCxM4G8SzeuefgDEQuA4FHSxUV2l5iai9nrEnHg/BUAQDtvN0SP7oywNixnIyIiUhomOuTYkmOAHycAVc7DLitTGLuMyY6DMZkErCkrZ8spK2cb1dUfb4zoBB8PlrMREREphbm5AWs3SH1MRnElp0qSgxvXYmeJ48hhaLUajO0ZgD+mD8DjfQKh1QAxhy9h4Hvb8dXOM7hulO9ho0RERGQ5JjqkPuf2VC5Xq0IA8lLFceRwDA2d8faYEMS81A93tmyMwhIj3vn1KEZ8tBN/nsmWOjwiIiKyEiY6pD4FGdYdR6oU0tyAtZPC8O4Dd8CzkQtOZBTg4S/+xCs/HERmnvwOGyUiIiLLMNEh9XHzse44Ui2tVoOxdwVg2/T+GN+nJTQaYN2hSxi4MI7lbERERArHRIfUJzBM7K6Gms5H0AAezcVxRAAaN3TBO2O6IObFfuga0BgFxaV459ejGPnRLvzFcjYiIiJFYqJD6qPViS2kAVRNdso+jpjP83Soii4tDPh5chjm398FTRo643hGPsZ98SdeXXWI5WxEREQKw0SH1Cl4lNhC2sOv8nUPf7aWplpptRo83Ksltk0fgEd7i+VsPx9MxcCFcVi6KwWlLGcjIiJSBJ6jQ+pmMord1QoyxD05gWFcybEHFf1///viFbz1SyIOX8wFAHT0dcfc0SHoFeQpcWRERESOiQeGEpE0kmPEc4xubvHt4S+WEyp0Jc1kErBq3wUsiD2GK1evAwDuv7M5Zt3bEd7uPGyUiIjInpjoEJH9JccAP05A1cNay/ZGKbxs8J/CErz723H8sPc8BAFwd3XCtKHt8XifQDjpWAlMRERkD0x0iMi+TEZgUUgth7VqxJWdqUcUW8ZW7tCFK5i9LhF/31TO9vaYENzViuVsREREtmZubsBHkERkHef21JLkAIAA5KWK4xSuW0Bj/PxCX/znvi5o3NAZx9Lz8dBn8Zj+42Fczi+WOjwiIiICEx0ispaCDOuOkzmdVoNHe4vd2R7pFQCNBlh74CIGLtyOb3ezOxsREZHUmOgQkXW4+Vh3nEJ4NnLBvPvvwE+Tw9CluQH5RaWYsz4ZkZ/sxr6zOVKHR0RE5LCY6BCRdQSGiXtwqhzSWk4DeDQXx6nQnS2b4JcX++KdMSEwNHDG0bQ8PPhZPGasPoysApazERER2RsTHSKyDq1ObCENoGqyU/ZxxHzFNyKojU6rwfg+gfhjxgA8fFcAAGDN/ou4573t+G7PWZazERER2RETHSKynuBRYgtpD7/K1z38Fd9a2hKejVww/4E78NMLYQhp7oH8olJExSRh1Ce7sf8cy9mIiIjsge2licj6TEaxu1pBhrgnJzBM1Ss5tTGaBHyfcB7/jT2GvKJSAMBDPVpg5vCOaOrmKnF0RERUHaNJQEJKDjLzi+DtrkevIE/otDWVZpO98RwdIiIZyS4oxruxx7Fq3wUAgIfeCa8N64BHewfyxZOIZMXRJ/mxiWmIXp+MtNyiimt+Bj2iIoMREeJXy2eSvTDRISKSof3n/sHsdYlIupQHAOjs74G5o0PQI7CJxJEREXGSH5uYhsnLD+DWyXF5mrdkfHeH+P8gd0x0iIhkymgS8P1f5/Df345XlLON7dkCMyM6wovlbEQkEakm+XJZQTKaBPRbsK1SknczDQBfgx67Zg50qBUuOTI3N3CyY0xERASxO9vjoa0wvIsfFmw6htX7L+LHfRcRm5iO1yI64tFeLe36IiqXSQYRScdoEhC9PrlKkgMAAsRJfvT6ZAwJ9rXq3wc5rSAlpOTUmOQA4v+HtNwiJKTkILSNl/0Co3pjokNEJJGmbq7470Nd8XCvlnjrl0Qkp+XhrV8SsWrvebw9OgR3trR9OZucJhlEJB0pJvk1rSCl5xZh8vIDdi8Ty8yv+d9fn3FqotQHYkx0iIgk1iOwCda/3A8rysrZElPzcN/iPRjXMwD/iuhgs3I2uU0yiEg69p7kS7WCVBtvd71Vx6mFkh+I8RwdIiIZ0Gk1mBDaCn/MGIAHe7QAAKzadwEDF8Zh+Z/nYDRVnQ4YTQLiT2dj3aFUxJ/OrnZMTeqaZADiJMOSr0lEymXvSb4lK0j20ivIE34GfZUjr8tpIE7wewV52i0mqZU/ELv1Z1X+QCw2MU2iyMzDRIeISEaaurnivYe6Ys2kUHTy80Dutet485dEjPl0Nw5duFIxLjYxDf0WbMMjX/6JV344hEe+/BP9Fmwz+0VHjpMMIpKOvSf5ciwT02k1iIoMBoAq/x/KP46KDK60wnQ7D5zkTg0PxOqV6CxevBhBQUHQ6/Xo0aMHdu7cWev44uJivPHGGwgMDISrqyvatGmDr7/+ul4BExE5gp6tPLH+pb6IHtUZ7nonHEnNxX2Ld+P1n/7Gmn0XbvsJmxwnGUQknfpM8m+HXMvEIkL8sGR8d/gaKn9fX4O+Sjnv7T5wkjs1PBCzeI/OqlWrMHXqVCxevBh9+/bF559/juHDhyM5ORktW7as9nPGjh2LjIwMLF26FG3btkVmZiZKS0tvO3giIjVz0mnxRFgr3NvFD/M3HcPaAxexMuECfth74bbr2uU6ySAi6ZRP8m/dj+Frg/0Y5StI6blF1f49K2/lLEWZWESIH4YE+9a6+d4R9jiq4YGYxYnO+++/j4kTJ+KZZ54BACxatAi//fYblixZgnnz5lUZHxsbi7i4OJw5cwaenuLN2qpVq9uLmoiUx2QEzu0BCjIANx8gMAzQ6qSOShGaubti4diueLhXAKb/eBjnc67WONbczkhynmQQkXTMmeRbQ/kK0uTlB6ABKv0dssUKkjXJsZGCLajhgZhFpWslJSXYv38/hg4dWun60KFDsWfPnmo/JyYmBj179sS7776L5s2bo3379pgxYwauXbtW4/cpLi5GXl5epTciUrDkGGBRCPDdSGDtRPH9ohDxOpntrlaemDq4nVlj63rCZu8yFSJSDp1Wg9A2XhjdrTlC23jZ7O+AJWVi9lRXSZoaSrrMoYbmDBat6GRlZcFoNMLHx6fSdR8fH6Snp1f7OWfOnMGuXbug1+vx888/IysrCy+88AJycnJq3Kczb948REdHWxIaEclVcgzw4wTg1mdfeWni9bHLgOBRkoSmRH6GBmaNM+cJmz3LVIiIqmOvFSRzmVOSVlxqMutrybmkyxxKXnUrV69zdDSayv8gQRCqXCtnMpmg0WiwYsUKGAwGAGL524MPPohPP/0UDRpUfdF+/fXXMW3atIqP8/LyEBAQUJ9QiUhKJiMQOxNVkhwAFQv8sbOAjiNYxmamukrOAMCrkYvZT9jkNskgIsdTvoIkNXNL0t57qKtZX0/OJV3mUvoDMYsSnaZNm0Kn01VZvcnMzKyyylPOz88PzZs3r0hyAKBTp04QBAEXL15Eu3ZVyzBcXV3h6mqbA/KIyI7O7QHyLtUyQADyUsVxQeF2C0vJanvCVi6nsARvrUvEa0M7oEkjF7O+phwmGUREUjK3JA0CHGqPo5IfiFm0R8fFxQU9evTA5s2bK13fvHkzwsLCqv2cvn374tKlSygoKKi4duLECWi1WrRo0aIeIRORYhRkWHccAai5rt3b3RW9gzwhAPj+r/MYuHA7fkg4D5OMzzggIpILc0vNsgqLHW6Po732bVmbxaVr06ZNw+OPP46ePXsiNDQUX3zxBc6fP49JkyYBEMvOUlNTsWzZMgDAo48+irfffhtPPfUUoqOjkZWVhddeew1PP/10tWVrRKQibtWv9NZ7HFWo7QnbX2eyMXtdEo5n5GPWT0ewcu8FvDM6BF1aGOr+wkREDsqSLmOhbbwUXdLlKCxOdMaNG4fs7GzMnTsXaWlpCAkJwcaNGxEYGAgASEtLw/nz5yvGu7m5YfPmzXj55ZfRs2dPeHl5YezYsXjnnXes968gInkKDAM8/MXGAzUt8Hv4i+OszQHaWddUcta7tRc2TOmHZfHn8MHmEzh84QpGfboLj/ZqideGdUDjhnWXsxERORpL2+4ruaTLUWgEQZB9TUNeXh4MBgNyc3Ph4eEhdThEZImKrmtAtT1bbNF1LTlGbIJw8/4gD38gYoHDdXjLzCvCfzYexS+HxP8XTRo6Y9bwjnioRwC0fDEmIqqkvOsaUH2XMTUcBKoG5uYGTHSIyPaqTTyaAxHzbZPkVNfO2paJlQL8eSYbs9cl4kSGuF+yW0BjvDMmBCHNWc5GRHSz2MS0KiVpfixJkxUmOkQkL/YoJTMZxYNIa+z0VlYqN/WI6srYzHHdaMJ3e85i0ZaTKCguhUYDPNa7JWYMZTkbEdHNjCaBJWkyxkSHiBxPyk7gu5F1j3tig0O3s84oK2dbV1bO5tnIBbMiOuLBHi1YzkZERLJnbm5gUXtpIiJZYztrs/h46PHhw3di5bN90M7bDTmFJfjX2r/xwGd7kJiaK3V4REREVsFEh4jUg+2sLRLaxgsbXwnHmyM6oZGLDgfPX8GoT3Zh9rpE5F69LnV4REREt4WJDhGpR3k76ypHuJXTiE0QbNHOWqGcdVo8E94a22YMwKiu/jAJwLL4cxi4cDt+3HeBh40SEVmR0SQg/nQ21h1KRfzpbBj5N9amuEeHiNRFinbWKrLndBZmr0vCqUyxO1v3lo0xdzS7sxHJATfIKxu7uVkPmxEQkeOyZztrFbpuNOGb3Sn4cMtJFJYYodUAj/cJxLShHWBo4Cx1eKrGiSzVhJNkZSs/n6eGgw94Po+FmOgQkWOzRztrlUvPLcL/bTyK9YfFhNGrkQtmDe+IB7qzO5stcCJLNeEkWdmMJgH9Fmyr9Lt9Mw0AX4Meu2YO5IMNM7HrGhE5Nq1ObCHd5UHxPZMci/ka9Pj4kTvx/TO90dbbDdmFJXhtzd946PN4JF1idzZrKp/I3joRSs8twuTlBxCbmCZRZCQ1o0lA9PrkKkkOcKM4N3p9Mvd6yFhCSk6NSQ4g/hzTcouQkJJjv6AcBBMdIiKqVVjbptg4JRyvD++Ihi467D/3DyI/3oU5MUnIvcbubLeLE1mqDSfJypeZX/PPrz7jyHxMdIiIqE4uTlo8378Ntk7vjxF3+MEkAN/uOYtBC7dj7f6LUEAVtGxxIku14SRZ+bzd9VYdR+ZjokNERGbzMzTAp492x/KJvdG6WSNkFZRg+urDGPt5PI6m5UkdniJxIku14SRZ+XoFecLPoK/t4AP4GcTmI2RdTHSIiMhi/do1Rewrd2NmREc0cNZh79l/MPLjXYhen4S8IpazWYITWaoNJ8nKp9NqEBUZDKDqKW/lH0dFBrMRgQ0w0SEionpxcdJi8oCycrYufjCaBHyz+ywGvheHnw6wnM1cnMhSbThJVoeIED8sGd8dvobKDyx8DXp2zbMhtpcmIiKr2HnyMqLWJeFMViEAoFcrT8wd0xkdffl3uy7lXdeAao+55USI2H5cJXhWlnXwHB0iIrK74lIjlu5KwcdbT+HadSN0Wg2eCG2FqUPawUPPw0Zrw4ks1YWTZCIREx0iIpJM6pVr+L9fk7HxSDoAoJm7K964txNGd/OHRsOJWU04kSUiqhsTHSIiktyOE5cxJ+amcrYgT7w9OgQdfN0ljoyIiJSKiQ4REclCcakRX+1MwcfbTqLougk6rQZPhrXC1MHt4M5yNiIispC5uQG7rhERkU25Ounw4j1tsXX6AER09oXRJGDprhQMXBiHdYdS2Z2NiIhsgis6RERkV3Fl5WwpZeVsvYM88faYELT3YTkbERHVjaVrREQkW9WVsz0V1gqvsJyNiIjqwNI1IiKSrfJyti3T+mNYZx8YTQK+2pWCQSxnIyIiK+GKDhERSe6P45mIjknC2eyrAIA+rT0xdzTL2YiIqCqWrhERkaIUXTfiq51n8Mkfp1B03QQnrQZP9wvClEHt4ObqJHV4REQkEyxdIyIiRdE76/DSwHbY/Gp/DA32QalJwBc7zmDQwu2IOXyJ5WxERGQRrugQEZEs/XEsE3PWJ+FcWTlbaGsvzB3dGe1YzkZE5NC4okNERIp2T0dv/Db1bkwb0h6uTlrEn8nG8A93Yt7GoygoLpU6PCIikjmu6JD5TEbg3B6gIANw8wECwwCtTuqoiMgBXMi5irkbkrE5OQMA4OuhxxsjOmHkHX7QaDQSR0dERPbEZgRkXckxQOxMIO/SjWse/kDEAiB4lHRxEZFD2XYsA3NiknE+RyxnC2sjlrO19WY5GxGRo2CiQ9aTHAP8OAHArbdK2VPUscuY7BCR3RRdN+LzuDNYvP0UikvF7mwTw4MwZWA7NGJ3NiIi1eMeHbIOk1FcyamS5ODGtdhZ4jgiIjvQO+vwyuB22DKtPwZ3EruzfR53BoMWxuHXv9PYnY2IiAAw0aG6nNtTuVytCgHISxXHERHZUYBnQ3z1RE8sfaInAjwbID2vCC9+fwCPL03AqcwCqcMjIiKJMdGh2hVkWHccEZGVDerkg82v9sfUwe3g4qTFrlNZGP7hDszfdAyF7M5GROSwmOhQ7dx8rDuOiMgG9M46TB3cHlte7Y9BHb1x3Sjgs7jTGPx+HDYeYTkbEZEjYqJDtQsME7uroab2rRrAo7k4johIYi29GmLpk3fhqwliOVtabhFeWHEAE75OwOnLLGcjInIkTHSodlqd2EIaQNVkp+zjiPk8T4eIZGVwsFjO9sogsZxt58ksRCzagQWxx3C1hOVsRESOgIkO1S14lNhC2sOv8nUPf7aWJiLZ0jvr8OqQ9tj86t24p0MzXDcKWLL9NAYvjMMmlrMREakez9Eh85mMYne1ggxxT05gGFdyiEgRBEHAlqOZiF6fhIv/XAMAhLdriuhRndG6mZvE0RERSc9oEpCQkoPM/CJ4u+vRK8gTOm1NWxekxQNDiYiIblF03YjF20/js7jTKCk1wVmnwXN3t8aL97RFQxceNkrqpaRJLNlfbGIaotcnIy23qOKan0GPqMhgRIT41fKZ0mCiQ0REVIOzWYWYsz4J249fBgD4G/SYHRmMYZ19odFw8kfqorRJLNlXbGIaJi8/UOVo+PK/hEvGd5fdfWJubsA9OkRE5HBaNW2Eb568C1883gPNGzfApdwiTFp+AE98sxcpWYVSh0dkNeWT2JuTHABIzy3C5OUHEJuYJlFkJAdGk4Do9clVkhwAFdei1yfDaJL9uki1mOgQEZFD0mg0GNrZF1um9cfLA9vCRafFjhOXMeyDHXjvt+O4VmKUOkTVM5oExJ/OxrpDqYg/na3YyZRcqX0SS7cvISWnShJ8MwFAWm4RElJy7BeUFbEgWUrc3E9EJLkGLjpMH9oB93dvgTkxSYg7cRmf/HEKPx9MxVsjgzGssw/L2WyA5VS2Z8kkNrSNl/0CI9nIzK/5/qjPOLnhio5UkmOARSHAdyOBtRPF94tCxOtERGR3QU0b4dun7sLnZeVsqVeuYdLy/XiS5WxWx3Iq+1D7JJZun7e73qrj5IaJjhSSY4AfJwB5lypfz0sTrzPZISKShEajwbCycraX7hHL2eLKytkW/s5yNmtgOZX9qH0SS7evV5An/Az6KkfCl9NAXGntFeRpz7CshomOvZmMQOxMoLY/8bGzxHFERCSJBi46zBjWAb+9ejfubt8MJUYTPt52CoPfj8PvSek8bPQ2qH1PgJyofRJLt0+n1SAqMhgAqtwn5R+/NaITElJyFLmXjomOvZ3bU3UlpxIByEsVxxERkaSCmjbCd0/dhc/G3yhne+5/+/H0t3txluVs9cJyKvsxZxIbFRnM83QcXESIH5aM7w5fQ+WVPV+DHs/dHYS3fz2KR778E6/8cAiPfPkn+i3YppjyUjYjsLeCDOuOIyIim9JoNIgI8cXd7Zvi0z9O4YsdZ/DH8cvYfWoHJvVvjRfuaQu9MxvJmIvlVPZVPom9tfGDLxs/0E0iQvwwJNi30qGy/xSW4MXvq56vU76XTo7n69yKB4baW8pOsfFAXZ7YAASF2z4eUh928yOyqTOXCxAVk4SdJ7MAAC2aNMCcyM4YHOwjcWTKYDQJ6LdgG9Jzi6ot4tZAnITvmjmQKw1WZDQJlSaxvYI8+f+XalT+e1pTmanUv6fm5gZc0bG3wDDAw19sPFDTn3gPf3EckaWSY8Q9YDeXR3r4AxELgOBR0sVFpCKtm7lh2dO9EJuYjrc3JOPiP9fwzLJ9GNjRG1GRwQj0aiR1iLJWXk41efkBaFD5lZDlVLaj02rYQlol7JG0qqU1Offo2JtWJ046AdRYMRsxn0/gyXLs5kdkNxqNBsO7+GHL9P54YUAbOOs02HYsE0M+2IEPNp9A0XU2lKlNbXsClFAOQySV2MQ09FuwzeZ7ZtSyl46la1Kp9sl7czHJ4ZN3spTJKJ7DVGOji7KVwqlHmEQT2cDpywWYc1M5W4CnWM42qBPL2WrDcioi85WfP3XrxL38N8aaDwniT2fjkS//rHPcymf7SLKiY25uwERHStxLQdbCvV9EkhMEAZvKytnKSz4Gd/LG7JGd0dKrocTREZGS2XvPjNz30pmbG7B0TUpanTjp7PKg+J5JDtUXu/kRSU6j0eDeLn7YMq0/JvVvAyetBluOZmLwB3FYtIXlbERUf/Y+f0otrcmZ6BCpgZuZ5THmjiOiemvk6oRZwzsidmo4+rb1QkmpCYu2nMTQD3Zg2zE+bCAiy0mxZ0YNe+nYdY1IDdjNj0h22nq7Y/nE3vj1SBre2XAU53Ou4ulv92FwJx9ERQYjwJPlbERkHqnOn6rufB0l7aXjig6RGrCbH5EsaTQajLzDH1un98fz/VuXlbNlYPD7cfhwy0mWsxGRWXoFecLPoK/yCl9OA8DPICYh1lbemnx0t+YIbeOlmCQHYKJDpB7Bo4CxywCPW5aSPfzF6+zmRySZRq5OeH14J8RODUdYGy8Ul5rwwZYTGLZoB/44lil1eEQkc2rZM2Nv7LpGpDbs5kcka4IgYMPfaXjn12Rk5BUDAIYE+2D2SJazEVHtYhPTEL0+uVJjAj+DHlGRwYrYM2MtbC9NREQkYwXFpfh460ks3ZWCUpMAVyctXrqnLZ69uzX0znw4QUTV4/lTTHSIiIgU4WRGPmavS0L8mWwAQKBXQ8wZ1Rn3dPCWODIiInniOTpEREQK0M7HHd8/2xsfPXInvN1dcS77Kp76Zi+eW7YPF3KuSh0eEZFiMdEhIiKSmEajwaiu/tg2YwCeDQ+Ck1aD35MzMOSDOHyy7SSKS9mdjYjIUixdIyIikpkTGfmYvS4Rf54RTzlvVVbONoDlbERE3KNDRESkZIIgIObwJfzfr0eRmS92ZxvW2QdvjQxGiybszkZUX9zMr3xMdIiIiFQgv+g6PtxyEt/sOQujSYDeWYuXB7bDM+FBcHVidzYiS7A9szow0SEiIlKR4+liOdtfKWI5W1DTRpgzqjP6t28mcWREyhCbmIbJyw/g1olv+VrOkvHdmewohE27ri1evBhBQUHQ6/Xo0aMHdu7cadbn7d69G05OTujWrVt9vi0RkXKZjEDKTuDIGvG9iZvLyTIdfN3xw3N98OHD3dDM3RUpWYV44usETF6+H6lXrkkdHpGsGU0CotcnV0lyAFRci16fDKNJ9s//yQIWJzqrVq3C1KlT8cYbb+DgwYMIDw/H8OHDcf78+Vo/Lzc3FxMmTMCgQYPqHSwRkSIlxwCLQoDvRgJrJ4rvF4WI14ksoNFoMLpbc2yb3h8T+wVBp9VgU2I6Bi+Mw6d/nGJ3NqIaJKTkVCpXu5UAIC23CAllK6akDhYnOu+//z4mTpyIZ555Bp06dcKiRYsQEBCAJUuW1Pp5zz//PB599FGEhobW+T2Ki4uRl5dX6Y2ISJGSY4AfJwB5lypfz0sTrzPZoXpw1zvjrZHB+HVKP/Rq5Ylr143472/HMXzRTuw4cVnq8IhkJzO/5iSnPuNIGSxKdEpKSrB//34MHTq00vWhQ4diz549NX7eN998g9OnTyMqKsqs7zNv3jwYDIaKt4CAAEvCJCKSB5MRiJ0J1FYsETuLZWxUbx19PbDq+T74YFxXNHVzxZmsQkz4OgEvrNiPSyxnI6rg7a636jhSBosSnaysLBiNRvj4+FS67uPjg/T09Go/5+TJk5g1axZWrFgBJycns77P66+/jtzc3Iq3CxcuWBImEZE8nNtTdSWnEgHISxXHEdWTRqPBfXe2wLYZ/fF0X7GcbeORdAxaGIfF20+hpNQkdYhEkusV5Ak/gx41NZHWQOy+1ivI055hkY3VqxmBRlP5NhEEoco1ADAajXj00UcRHR2N9u3bm/31XV1d4eHhUemNSDa4qZzMVZBh3XFEtfDQO2N2ZDA2vNwPd7VqgmvXjXg39jgiPtyBXSezpA6PSFI6rQZRkcEAUCXZKf84KjKY5+mojHlLLGWaNm0KnU5XZfUmMzOzyioPAOTn52Pfvn04ePAgXnrpJQCAyWSCIAhwcnLC77//joEDB95G+ER2lhwjliLd/JTewx+IWAAEj5IuLpInt6p/F29rHJEZOvl54MfnQ/HzwVT8Z+MxnLlciPFL/8KILn54c2Qn+BkaSB0ikSQiQvywZHz3Kufo+PIcHdWy+Byd3r17o0ePHli8eHHFteDgYIwePRrz5s2rNNZkMiE5ObnStcWLF2Pbtm1Ys2YNgoKC0KhRozq/J8/RIVko31ReUwf+scuY7FBlJqPYXS0vDdXv09GIifLUI4CWBz+S9eUVXccHm0/guz1nYRKAhi46TBnUDk/3DYKLU72KOogUz2gSkJCSg8z8Ini7i+VqXMlRFnNzA4tWdABg2rRpePzxx9GzZ0+Ehobiiy++wPnz5zFp0iQA4v6a1NRULFu2DFqtFiEhIZU+39vbG3q9vsp1Ilmrc1O5RtxU3nEEJ6x0g1Ynrvb9OAFiQnzz/VP2ohoxn/cM2YyH3hlRkZ3xUI8AzF6XiH3n/sH8Tcewet8FzB0dgr5tm0odIpHd6bQahLbxkjoMsgOLH+eMGzcOixYtwty5c9GtWzfs2LEDGzduRGBgIAAgLS2tzjN1iBSHm8qpvoJHiat9HreURHj4cxWQ7CbY3wOrJ4Vi4UNd0dTNBacvF+Kxr/7Ci98fQFouu7MRkTpZXLomBZaukeSOrBEPeqzLA0uBLg/aPh5SHpNRTIQLMsQ9OYFhXMkhSeReE8vZlsXfKGd7ZVA7PMVyNiJSCHNzA/5FIzIHN5XT7dLqgKBwMREOCmeSQ5IxNHDGnFGdsf7lfugR2ARXS4yYt+kY7v1oJ/acYnc2IlIPJjpE5ggME0uNauvA79FcHEdEpACd/Q1Y/Xwo3nuoK7waueBUZgEe/eovvPT9AaTn8nR4IlI+JjpE5ijfVA6gxg783FRORAqj1WrwYI8W2DZjAJ4IDYRWA2z4Ow2DFm7HFztO47qRh40SkXIx0SEyFzeVE5FKGRo4I3p0CNa/3A/dWzZGYYkR/9l4DPd+uBN7TrOcjYiUic0IiCzFTeVEpGImk4C1By5i/qZjyC4sAQCM6uqPN0Z0go+HXuLoiIjMzw2Y6BAREVEVuVevY+Hm41j+5zmYBKCRiw5TB7fHk31bwVnHghAikg4THSIiIrptiam5eGtdIg6evwIAaOfthrmjQ3jgIhFJhokOERERWYXJJGDN/ouYH3sMOWXlbKO7+ePf97KcjYjsj+foEBERkVVotRqMvSsA26b3x+N9AqHRAOsOXcKghXH4aucZdmcjIlniig4RERFZ5MhFsZzt0IUrAIAOPu6YO7ozerdmORtRbYwmAQkpOcjML4K3ux69gjyh09Z0Rh/VhKVrRGrH7m9EJCGTScDq/Rcwf9Mx/HP1OgDgvjub4/XhHeHNcjaiKmIT0xC9PhlpNx3I62fQIyoyGBEhfrV8Jt2KiQ6RmiXHALEzgbxLN655+IuHmvI8HyKyoytXS/De78ex4q/zEATAzdUJrw5pjydCA+HE7mxEAMQkZ/LyA7h10l2+lrNkfHcmOxZgokOkVskxwI8TgJr+XPLwUiKSwN8Xr+CtdUk4XFbO1tHXHXNHh6BXkKe0gRFJzGgS0G/BtkorOTfTAPA16LFr5kCWsZmJzQiI1MhkFFdyqiQ5uHEtdpY4jojIju5o0Rg/Tw7D/Pu7oElDZxxLz8fYz+MxbdUhZOZXP8EjcgQJKTk1JjmA+OqdlluEhJQc+wXlIJjoECnJuT2Vy9WqEIC8VHEcEZGdabUaPNyrJbZNH4BHe7eERgP8dDAVg96Lw9e7UlDK7mzkgMxN9PlAwPqY6BApSUGGdccREdlAk0Yu+M99XbDuxb7o2sKA/OJSzN2QjJEf78Les3xqTY7F29285hzmjiPzMdEhUhI3H+uOIyKyoTtaNMbPL/TFvPu7oHFZOdtDn8Vj2o+HcDm/WOrwHILRJCD+dDbWHUpF/OlsGE2y35qtOr2CPOFn0KOm3TcaiN3XuJ/N+tiMgEhJTEZgUQiQl4bq9+loxO5rU4+w1TSR2imsxfw/hSV497fj+GGv2J3N3dUJ04e2x/g+7M5mK2xnLB/lXdeAyq/e7LpWP+y6RqRWFV3XgGr/XLLrGpH6KbjF/KELVzB7XSL+vpgLQOzO9s6YEPRsxafZ1sR2xvLDxNN6mOjQDQp76kdmqHaS0xyImC/7SQ4R3SYVtJg3mgT8sPc83o09jtxr4mGjD3RvgVnDO6KZu6vE0Skf2xnLl9EkICElB5n5RfB2F8vV+DOwHBMdEin4qR/VgQkskeOpKF+tqfuisspXcwpL8G7sMfyw9wIAwF3vhBlDO+Cx3i1ZznYb4k9n45Ev/6xz3Mpn+yC0jZcdIiKyLp6jQzee+t36gpiXJl5PjpEmLrIOrQ4ICge6PCi+V8Ckhohuk8pazHs2csH8B+7Azy+EoUtzA/KLShEVk4RRn+zG/nPszlZfbGdMJGKio1Y8WJKISH1U2mL+zpZN8MuLffHOmBAYGjgjOS0PDyyJx4zVh5FVwO5slmI7YyIREx21UtlTPyIigqpbzOu0GozvE4ht0/tjXM8AAMCa/Rcx8L3tWBZ/lm2RLcB2xkQiJjpqpdKnfkREDi0wTNyDU9sU1qO5OE6hvNxcseDBO/DTC2Ho7O+BvKJSzF6XhFGf7ML+c/9IHZ4i6LQaREUGA6h6p5R/HBUZzE3wpHpMdNRKxU/9iIgcllYnNpMBUOMUNmK+KvbsdW/ZBDEv9cPbY0LgoXdC0qU8PLBkD/615jCyWc5Wp4gQPywZ3x2+hsrlab4GPVtLk8Ng1zW14sGSRETq5WAt5rMLirEg9hh+3HcRAOChd8Jrwzrg0d6BXJWoA9sZkxqxvTTxYEkiIjVzwBbz+8/9g7d+SURyWh4AIKS5B+aODkH3lk0kjoyI7ImJDokc7KkfERGpm9EkYMVf5/Deb8eRV1QKABjXMwD/iugALzceNkrkCJjo0A0O+NSPiIjULaugGAs2HcPq/WI5m6GBM2YM64BHe7VkaRaRyjHRISIiItXbfy4Hb/2SVKmc7e3RIbiT5WxEqsVEh4iIiBxCqdGEFX+dx3u/H0d+WTnbw3cF4F8RHeHZyEXi6IjI2szNDdhemoiIiBTNSafFE2GtsG36ADzYowUA4Ie9F3DPe9ux4q9zPGyUyEFxRYeIiIhUZd/ZHLy1LglHy8rZ7mhhwNzRIegW0FjawIjMwJbgdWPpGhERETmsUqMJy/88h4W/n0B+cSk0GrGc7bVhLGcj+YpNTEP0+mSk5RZVXPMz6BEVGcxDXm/CRIeIiIgc3uX8YszbdBQ/HUgFADRu6Ix/DeuIcXcF8Ck5yUpsYhomLz9Q5Zj38rt0yfjuTHbKcI8OERERObxm7q54f2w3rJ4Uio6+7rhy9Tr+/fMR3L94Nw5fuCJ1eEQAxHK16PXJVZIc4MaR79Hrk7nfzEJMdIiUxmQEUnYCR9aI701GqSMiIpK9u1p5YsPL/RAVGQx3VyccvpiLMYt34/WfjuCfwhKpwyMHl5CSU6lc7VYCgLTcIiSk5NgvKBVwkjoAIrJAcgwQOxPIu3Tjmoc/ELEACB4lXVxERArgpNPiqb5BGHGHH+ZvPIafDqZiZcJ5bEpMw8yIjhjXMwBalrMB4IZ4e8vMrznJqc84EjHRIVKK5BjgxwnArQvbeWni9bHLmOwQEZnB212P98d1w7i7AhAVk4Rj6fl4/acj+GHvBbw9ujPuaNFY6hAlxQ3x9uftrrfqOBKxdI1ICUxGcSWnturd2FksYyMiskDv1l7Y8HI/zB4ZDDdXJxy+cAWjP92NN34+gitXHbOcrXxD/K1lVOm5RZi8/ABiE9MkikzdegV5ws+gR01rZhqIyWavIE97hqV4THSIlODcnsrlalUIQF6qOI6IiMzmpNPi6X5B2Da9P+67szkEAVjx13nc8952/JBwHiYH2vzNDfHS0Wk1iIoMBoAqyU75x1GRwSwftBATHSIlKMiw7jgiIqrE20OPD8Z1w6rn+qCDjzv+uXods346gvuX7MGRi7lSh2cX3BAvrYgQPywZ3x2+hsrlab4GPVtL1xP36BApgZuPdccREVG1erf2woYp/fDdnrNYtOUkDl24glGf7sJjvVtixtAOaNxQvYeNckO89CJC/DAk2JeNIKyEKzpEShAYJnZXq61616O5OI6IiG6Ls06LZ8JbY9v0/hjTzR+CACz/8zwGLozDqr3qLWfjhnh50Gk1CG3jhdHdmiO0jReTnNvARIdICbQ6sYU0gBqrdyPmi+OIiMgqvD30WPTwnfjhuT5o7+OGnMISzFwrlrMlpqqvnI0b4kltmOgQKUXwKLGFtMctNboe/mwtTURkQ31ae+HXKeF4c0QnNHLR4dCFK4j8ZBfe+iURuVevSx2e1XBDPKmNRhAE2a+/5uXlwWAwIDc3Fx4eHlKHQyQtk1HsrlaQIe7JCQzjSg4RkZ1k5BXhPxuPYt0hsROmZyMXzBreEQ92b6Gaw0Z5jg7Jnbm5ARMdIiIie+GDCtWIP52N2esScTKzAADQvWVjzB0dgpDmBokjsw6jSeCGeJItJjpERERykhwjHvx785lYHv7i/juWnirSdaMJ3+4+i0VbTqCwxAitBhjfJxDTh3aAoYGz1OERqRYTHSIiIrlIjgF+nABUOYqx7Ak599kpWnpuEf5v41GsPywmsV5l5WwPqKicjUhOzM0N2IyAiIjIlkxGcSWntvPmY2eJ40iRfA16fPzInfj+2d5o6+2G7MISvLbmbzz0eTySLqmvOxuRUjDRISIisqVzeyqXq1UhAHmp4jhStLA2TbFxSjj+fW9HNHTRYf+5fxD58S7MiUlC7jX1dGcjUgomOpYwGYGUncCRNeJ7Pn0jIqK6FGRYdxzJmouTFs/d3QZbp/fHyDv8YBKAb/ecxaCF27F2/0UoYMcAkWo4SR2AYnATKRER1Yebj3XHkSL4GRrgk0e745FeWZi9LhGnLxdi+urD+GHveUSPCkGwP/ccE9kamxGYg5tIiYioLjW1jjYZgUUhQF4aqt+noxEfnE09wlbTKlVSasI3u1Pw4daTuFrWnW1CaCtMG9oeHnp2ZyOyFLuuWUvFC1RN9dV8gSIicnh1rfpXPDADKic7fGDmSNJyr+GdX4/i17/TAABN3Vzx73s74r47m0OjYXc2InOx65q1cBMpERHVpjyJufW1Ii9NvJ4cIyYxY5cBHrecKu/hzyRHSnbee+tnaIBPH+2O5RN7o3WzRsgqKMa0Hw9j7OfxOJqWZ9PvTeSIuKJTlyNrgLUT6x73wFKgy4O2j4eIiOTD0lX/msrbyP4k3ntbUmrC0l0p+GjrSVy7boROq8GE0EC8OoTlbER14YqOtXATKRER1cTSVX+tDggKFx+MBYUzyZGKOatwNubipMXkAWJ3thFd/GA0Cfhm91kMfC8OPx9kdzYia2CiU5fAMPEJD2qqndUAHs3FcURE5FjYOlp5ZHaAq3/jBvj0se7438ReaN1ULGd7ddVhjPv8TxxLZzkb0e1golMXrU5cxgZQNdkp+zhiPp/KERE5Iq76K49M996Gt2uGTVPD8a+IDmjgrEPC2RyM+GgX3t6QjPwiHjZKVB9MdMzBTaRERFQdrvorj4xX4VyddHhhQFtsmd4fw0N8YTQJWLorBQMXxuGXg6ksZyOyEJsRWIKbSImI6FZsHa0sKTuB70bWPe6JDeI+KgnFnbiMOTFJSMkqBAD0CvLE26ND0MHXXdK4iKTGc3SIiIjspdoOXs3F0mYmOfKisANci0uN+GpnCj7edhJF103QaTV4KqwVXhncDu7szkYOiokOEckLV0RJ7XiP3yD3/xcKXIW7+M9VvLPhKGKT0gEA3u6ueGNEJ4zq6s/DRsnhMNEhIvmQ+LwKIrIjpfy+K3QVbvvxTMyJScLZ7KsAgN5Bnnh7TAja+7CcjRwHEx0ikoeKJ6e3/qmR75NTIqonpf2+y33lqQbFpUZ8ueMMPvnjFIqum+Ck1eCpvq3wyuD2cHN1kjo8Ipuz6YGhixcvRlBQEPR6PXr06IGdO3fWOPann37CkCFD0KxZM3h4eCA0NBS//fZbfb4tESmNzM6rICIbUuLvu0IPcHV10uGlge2wZVp/DOvsg1KTgC93pmDQwu2IOXyJ3dmIylic6KxatQpTp07FG2+8gYMHDyI8PBzDhw/H+fPnqx2/Y8cODBkyBBs3bsT+/ftxzz33IDIyEgcPHrzt4IlI5mR6XgUR2QB/3+2uRZOG+PzxnvjmqbsQ6NUQGXnFmLLyIB798i+czMiXOjwiyVlcuta7d290794dS5YsqbjWqVMnjBkzBvPmzTPra3Tu3Bnjxo3D7NmzzRrP0jUihTqyBlg7se5xDywVn6gSkXLx99066llOV3T9RjlbcalYzvZ0vyBMGdSO5WykOubmBhbd+SUlJdi/fz9mzZpV6frQoUOxZ495T2hMJhPy8/Ph6elZ45ji4mIUFxdXfJyXl2dJmEQkFzw1nshx8Pf99t1GIwe9sw4vD2qHMXc2x9wNydicnIEvdpzBukOpeHNEMEbe4cfubORwLCpdy8rKgtFohI9P5T9SPj4+SE9PN+trLFy4EIWFhRg7dmyNY+bNmweDwVDxFhAQYEmYRCQXPDWeyHHw9/32lDdyuLX8Ly9NvJ4cY9aXCfBsiC8n9MQ3T94oZ3t55UE89tVfOJXJcjZyLPVqRnDrEwFBEMx6SrBy5UrMmTMHq1atgre3d43jXn/9deTm5la8XbhwoT5hEpGtmIzi6eJH1ojva9pcrNWJTyIBVJ38lH0cMV8xG4CJqBb8fa8/GzRyuKejN36bejemDWkPVyct9pzORsSinZi38SgKi0utEjaph9EkIP50NtYdSkX86WwYTepoaGFR6VrTpk2h0+mqrN5kZmZWWeW51apVqzBx4kSsXr0agwcPrnWsq6srXF1dLQmNiOzF0tKK4FFiS9lqP8cG51UotF0skSrY+/ddLSxp5BAUbvaX1TvrMGVQO9x3Z3NEr0/GlqMZ+HzHGaw7dAlvjuyEEV1YzkZAbGIaotcnIy23qOKan0GPqMhgRIT4SRjZ7atXM4IePXpg8eLFFdeCg4MxevToGpsRrFy5Ek8//TRWrlyJMWPGWBwkmxEQycTtnJFhjwREKQcVEqkdHzhYxk6NHLYezUD0+mSczxEPG+3b1gvRo0LQ1tut3l+TlC02MQ2Tlx+o6VUdS8Z3l2WyY7MDQ1etWoXHH38cn332GUJDQ/HFF1/gyy+/RFJSEgIDA/H6668jNTUVy5YtAyAmORMmTMCHH36I+++/v+LrNGjQAAaDwar/GCKyIZMRWBRSy1NHjZhUTD0izYRGaQcVkogTYiKxBPi7kXWPe2KDRSs61Sm6bsTncWeweLvYnc1Zp8HEfq3x8sC2aMTubA7FaBLQb8G2Sis5N9MA8DXosWvmQOi08lr5s9mBoePGjcOiRYswd+5cdOvWDTt27MDGjRsRGBgIAEhLS6t0ps7nn3+O0tJSvPjii/Dz86t4e+WVV+rxzyIiycj5jAwlHlRIYnK6KESc4K2dKL5fFGL2pmsi1bBjIwe9sw6vDG6Hza/2x+BO3rhuFPBZ3GkMfj8Ov/6dxsNGHUhCSk6NSQ4gvnqm5RYhISXHfkFZmcUrOlLgio6D4pNeeZHzGRl2fBpKVsIVOKLKKn4ngMq/F7b9ndiSnIHoDUm4kHMNANCvbVPMGdWZ5WwOYN2hVLzyw6E6x334cDeM7tbc9gFZwGYrOkR2wSe98iPnMzIKMqw7jmyLK3BEVZU3cvC4ZT+Eh79NE//BwT7Y/Gp/vDKoHVyctNh1KgvDP9yBBbHHcLWE3dnUzNtdb9VxcsRiTJKfmp70lp8lIKcnvY606lReWpGXhuonqGV7dKQ4I0POSRhVZaMOU0SKFzwK6DjC7q8remcdXh3SHvd3F7uzbTuWiSXbT2PdwVS8OTIYw0N82Z1NhXoFecLPoEd6blFNr+rwNejRK8jT3qFZDVd0SF6U9KTX0Vad5HxGBg8qVBauwBHVTKsTE/wuD4rv7fg3NdCrEb5+8i58NaEnWjRpgEu5RXhhxQFM+DoBpy8X2C0Osg+dVoOoyGAANb6qIyoyWHaNCCzBRIfkRc4b3m9mpROsFUei0oo6yTkJo6q4Akcka4ODfbBlWn9MKStn23kyCxGLduBdlrOpTkSIH5aM7w5fQ+XyNF+DXratpS3BZgQkL3Le8F5O7m2W7UGuJXvVnqPTnAcVyk3F71AdZZBq/h0iUohz2YWYE5OEP45fBgD4G/SYHRmMYZ1ZzqYmRpOAhJQcZOYXwdtdLFeT80qOubkB9+iQvCjhSS/3F9worZAbierbyULlK3A/ToC44lZNhymuwBHJQnk525ajmZgTk4TUK9cwafkB3N2+GeZEBqN1M3ZnUwOdVoPQNl5Sh2F1LF0jeVHCXgvuL5A3CevbyQJyLYMkoio0Gg2GlJezDWwLF50WO05cRsSinfjvbyxnI/li6RrJj0RnCZiNZ7YQWY9cyyCJqEZnswoxZ30StpeVszVv3ABvjQzGsM4+LGcjuzA3N2CiQ/Ik570W3F9AREQOThAE/J6cgbnrk5F6RTxstH/7ZpgzqjOCmjaSODpSOyY6pHxyftIr91UnIiIiO7hWYsTi7afwedwZlBhNcNFp8Xz/1nhhQFs0cJHJazapDhMdIluT86qTXMk5eSUionpLySpEVEwSdpy4Uc4WFRmMIcEsZyPrY6JDZA+cuJuv2sTQX+y+xcSQiEjxBEHAb0kZeHvDjXK2ezo0Q1RkZ7RiORtZERMdIpKPilK/W//csNSPiEhtrpUY8ekfp/DFjhvlbJP6t8ZklrORlZibG7C9NBHZlskoruRU27ih7FrsLHEcEREpXgMXHWYM64DYqeEIb9cUJUYTPtp2CkM+iMPm5Awo4Bk7qQQTHSKyLUsOWCUiItVo3cwNy57uhc/Gd4e/QY+L/1zDs8v2YeJ3+3Auu1Dq8OpkNAmIP52NdYdSEX86G0YTEzSlcZI6ACJSOR6wSkQkDRnsI9VoNIgI8cPd7Zvhk22n8OXOM9h2LBO7TmVhUv82eGFAG+id5VfOFpuYhuj1yUjLLaq45mfQIyoyGBEhfrV8JskJ9+gQkW3xgFUiIvuTaQOY05cLMCcmCTtPZgEAAjwbIGpkZwwO9pEsplvFJqZh8vIDNe0qxZLx3ZnsSIx7dIhIHgLDxBdX1NReVCO25Q4Ms2dURETqVd4A5tay4bw08XpyjDRxAWhTVs625LHu8DPocSHnGp5Ztg8Tv92L89lXJYurnNEkIHp9cm27ShG9PpllbArBRIeIbEurE58gAqia7JR9HDGfbbmJiKxBAQ1gNBoNhnfxw9bp/TF5QBs46zTYeiwTgz+Iw6ItJ1B0XbrYElJyKpWr3UoAkJZbhISUHPsFRfXGRIeIbC94lNhC2uOWpX4Pf7aWJiKyJgU1gGno4oSZER0RO/Vu9GvbFCWlJizachJDPojD1qPS7NvMzK85yanPOJIWmxEQkX0EjwI6jpB8YywRKZgMNtfLngIbwLRp5ob/TeyFTYnpeHtDMi7kXMPE7/ZhcCdvREV2RoBnQ7vF4u2ut+o4khYTHSKyH62ODQeIqH5kurledtzM3NRv7jg70Wg0uLeLH/q3b4aPt53CVzvPYMvRTOw8mYUXBrTF8/1b26U7W68gT/gZ9EjPLaq2+E8DwNegR68gT5vHQrePpWtEREQkbzLeXC87Cm8A08jVCbOGd0Ts1HD0beuF4lITPthyAkM/2IFtx2y/CqXTahAVGQygxl2liIoMhk5b0/9fkhMmOkRERCRfCthcLysqaQDT1tsdyyf2xieP3glfDz3O51zF09/uwzPf7cOFHNt2Z4sI8cOS8d3ha6hcnuZr0LO1tMLwHB0iIiKSL57FVT/Vlvo1F5MchZX6FRaX4qOtJ7B0VwpKTYCrDnjxnrZ4rn9bm5azGU0CElJykJlfBG93sVyNKznyYG5uwD06REREJF8K3FwvCypqANPo9Ea8fmwmHnICZpc+iT3GELy/5RTW/nUScx7shXs6eNvk++q0GoS28bLJ1yb7YKJDRERE8qXQzfWyoIYGMOX7syCgrRZY4fwfbDD1wTvXx+Ncviee+mYvhgb74K2RwXbtzkbKwD06REREJF8K31xPt6Ga/VkaDRCp+xNbXWfgOd0GOMGI35MzMPj9OHy89aSkh42S/DDRISIiIvlSyeZ6qodaDj910xTh387fY6PLLPTx16G41ISFm08gYtEObD+eaedASa6Y6BARESmZyShu2D+yRnyvxu5jwaOAscsAj1u6XXn4i9cVtrmezGTGvqv22lSsHFCADx/uBm93V5zNvoonv9mL5/+3Dxf/sW13NpI/7tEhIiJSKkc6RFNFm+vJTGbuu9K4+2B0UHMM7OiNj7aexNe7z+K3pAzEnbiMl+5pi2fvbg1XJ94njojtpYmIiJTopk3alZWVc3Glg8xlMsozgTQZgUUh4sGw1Z6jpBET+6lHKsV7PD0fs9cl4q+UHABAUNNGmDOqM/q3b2afuMnmzM0NmOgQEREpTcUEsPr9CzVNAImqkPuqYEVCD1ROdmpP6AVBQMzhS3jn16O4nF8MAIjo7Iu3IoPRvHED28ZMNmdubsA9OkREREpTyyZtkQDkpYrjiGpSnkTcei/lpYnXk2Okietm9dyfpdFoMLpbc2yb3h/P9AuCTqtBbFI6Bi3cjk//OIXiUhXuZaMquKJDyiTXZXYisi3+7ouOrAHWTqx73ANLgS4P2j4eUh6lrQre5u/+8fR8vLUuEQk3lbNFj+qMu1nOpkjm5gZsRkDKI/dldnvhhI8cDX/3b+AhmnS7LFkVlMOho7d5+GkHX3eseq4P1h26hP/beBQpWYWY8HUChof44s2RLGdTK5aukbIoYZndHpJjxCdx340Un+p+N1L82FH+/eR4+LtfGQ/RpNtlRutmi8YpgEajwZg7m2Pr9P54uq9YzrYpMR2DF8Zh8fZTKCk1SR0iWRkTHVKOak5IvqHsWuwsdZ4hcTNO+MjR8He/Kh6iSbfLgVcFPfTOmB0ZjF+n9EOvVp64dt2Id2OPI+LDHdh58rLU4ZEVMdEh5eDmW074yDHxd796PESTbgdXBdHR1wOrnu+DD8Z1RVM3V5y5XIjHlybghRX7cenKNanDIyvgHh1SDgdcZq9CaTXVRNbA3/2a8RBNqq/yVcEfJ0BMdqpp3ewAq4IajQb33dkCgzr54IPNJ/DdnrPYeCQdfxy7jCmD2mFivyC4OHFdQKn4kyPlcOBl9gqc8NHtMhmBlJ1i166UncpY/ePvfu3KN2l3eVB8r/KJKVkRVwUreOidERXZGb9OCcddrZrg2nUjFsQeQ8SHO7DrZJbU4VE9cUWHlKN8mb2uE5JVvMzOCR/dFqV2LePvPpHtcFWwkk5+Hvjx+VD8fDAV/9l4FGcuF2L80r8w4g4/vDmiE/wM7M6mJFzRIeXg5lvWVFP9KbmJBX/3iWyLq4KVaDQa3N+9BbZOH4Anw1pBqwF+/TsNgxbG4bO40+zOpiBMdEhZHH2ZXakTPiWWS6mJGppYOPrvPhHZnaGBM+aM6owNL4ejZ2ATXC0xYv6mYxj+4Q7sPsVyNiXQCIJQ3SufrJh7+ikpVH0Ovrz1cwJ6Axf+cpxl92pLkJqLSY7cJnxKLZdSk5Sd4llLdXlig/ybWPCgXCKSgMkk4KeDqZi/6SiyCkoAACPv8MObI4Lha9BLHJ3jMTc3YKJD0rLGJNhRJ9JKmPCVl0tVWUkoW33ik3j7OLJGPFi2Lg8sFUtXiIioWrnXruODzSewLP4sTALQ0EWHVwa1w1N92Z3NnpjokPxZYxLMibR8mYzAopBa2mGXbSCfekR+CZraqGlFh+RLCQ9fiKwk6VIuZq9Lwv5z/wAA2nq7Ye6ozghr21TiyBwDEx2SN2tMgjmRljdOruWj4neljq5l/F2h+nLUlXVyaCaTgLUHLmL+pmPILhTL2SK7+uONezupopzNaBKQkJKDzPwieLvr0SvIEzptTc2Q7Mvc3IBrbCQNa5x0ztPS5Y1n/siHUptYkDIouaMf0W3QajV4qGcAtk0fgCdCA6HVAOsPX8Kghdvx5Y4zuG5Ubne22MQ09FuwDY98+Sde+eEQHvnyT/RbsA2xiWlSh2YRJjokDWtMgjmRljee+SMv7FpGtqCGjn5Et8nQ0BnRo0MQ81I/dG/ZGIUlRvzfxqO498OdiD+dLXV4FotNTMPk5QeQlltU6Xp6bhEmLz+gqGSHB4aSNKwxCeZEWt54yKP88GBAsjZLVtZZoiriXiZ1MhkRUvI31vTLwJrUJpi/14iTmQV45Ms/MbqbP/59byf4eMi/nM1oEhC9PrnGRxcaANHrkzEk2Fc2ZWy1YaJD0rDGJJgTaXkrL5f6cQLEP403/4yqKZfii799lB8MSGQNXFm3DPcyqdNNP1ctgLEAhrm1wXsB0VhxQot1hy5h69FMTB3cDk+EtYKzTr4FVQkpOVVWcm4mAEjLLUJCSg5C23jZL7B6ku//aVI3a+wZ4L4D+TO3XCo5Rtws/91IsQ3ydyPFj1nbTyRvXFk3H/cyqVMNP1dDwRm8fe5xxNxrxJ0tG6OguBTv/HoUIz7aiT/PyLecLTO/5iSnPuOkxq5rJC1rHHyppMMzHVVtqzVsEU6kXOzoZx52CVUnM3+upil/Y83BNMyPPYacsu5sY8rK2bxlVs4Wfzobj3z5Z53jVj7bR9IVHbaXJnmpbaJrjZIllj0pE1/8iZSv4mEFUG2JKh9WsN2+Wln4c71ytQTv/X4cK/46D0EA3Fyd8OqQ9ngiNBBOMilnM5oE9FuwDem5RTU9uoCvQY9dMwdKukeH7aVJPuoqSyrfM9DlQfF9fSa01vgaZH9sEU6kfOzoVzfuZVInC3+ujRu64J0xXRDzYj90CxDL2d7ekIwRH+3CXzIpZ9NpNYiKDAZQ46YAREUGK6IRAcBmBGRrNZUlldck80XQMdS04sYXfyJ1YEe/2nEvkzrV8+fapYUBP00Ow+r9FzB/0zEcz8jHuC/+xH13Nsfr93aEt7u05WwRIX5YMr47otcnV2pM4GvQIyoyGBEhfrV8trywdI1sh2VJBNTeZahBE+uUc7B0kYjkjHuZ1MkKP9crV0vw39+O4/sEsZzNvaycbYIMytmMJgEJKTnIzC+Ct7sevYI8ZbOSw9I1kh7LkqiuLkOF2eKLQJUF8nIasbFEbS3C2bGNiOSOXULVyQo/18YNXfB/93XBuhf7omsLA/KLSzF3QzJGfrwLCSk5NgnbXDqtBqFtvDC6W3OEtvGSTZJjCSY6ZDssS3Js5pyY/vu/gWHzyq7V40WC7VqJSCm4l0mdrPRzvaNFY/z8Ql/Mu78LmjR0xrH0fIz9PB7TVh1STCtnOWLpGtkOu8w4Nkt+/tf+sbxFOEsjiUiJWGqrTlb8uf5TWIL//n4cK28qZ5s2tD0e7yN9OZtcmJsbsBkB2U5gmDjRrKt2tbayJFIuS1b0ujxo+UZmS0ojmUgTkVyUdwkldbHiz7VJIxf8574uGNczAG+tS8TfF3MRvT4Zq/ZewNtjQnBXK0+rfB9HwLSQbIc1yY7N0m40lrYIZ2kkERGpWNcAsZztP/d1QeOycraHPovH9B8P43J+sdThKQITHbIt1iQ7rvIVvdtpNFAbtmslIiKV02k1eLR3S/wxfQAe6dUSGg2w9sBFDFy4Hd/uTkGp0SR1iLLGPTpkH6xJdky2PDGd7VqJiMjBHLpwBbPLytkAoJOfB94e3Rk9HayczdzcgIkOEdlWtefo1NFowJKvbatEioiISIaMJgE/7D2Pd2OPI/fadQDAgz1aYNbwjmjq5ipxdPbBRIeI5MOWK3q2TKSIiIhkKqewBO/GHsMPey8AANz1TpgxtAMe691S9d3ZmOgQ2RvL86TD//dEROSgDp7/B7PXJeFIqljOFuzngbfHdEaPQPWWszHRIbKnalcV/MWuc1xVICIiIhsymgSsTDiP//52o5ztoR4tMFOl5Wzm5gb1WtdavHgxgoKCoNfr0aNHD+zcubPW8XFxcejRowf0ej1at26Nzz77rD7flkieyveJ3HqmS16aeD05Rpq4iIiIyCHotBqM7xOIbdP7Y1zPAADA6v0XMfC97fhf/FkYTbJf17AJixOdVatWYerUqXjjjTdw8OBBhIeHY/jw4Th//ny141NSUnDvvfciPDwcBw8exL///W9MmTIFa9euve3giSRnMoorOdV2/Sq7FjtLHEdERERkQ15urljw4B346YUwdPb3QF5RKd5al4RRn+zC/nP/SB2e3Vlcuta7d290794dS5YsqbjWqVMnjBkzBvPmzasyfubMmYiJicHRo0crrk2aNAmHDx9GfHx8td+juLgYxcU3DkLKy8tDQEAAS9dIflJ2At+NrHvcExt4EjYRERHZjdEk4Pu/zuG/vx1HXlEpAGBszxaYGdERXgovZ7NJ6VpJSQn279+PoUOHVro+dOhQ7Nmzp9rPiY+PrzJ+2LBh2LdvH65fv17t58ybNw8Gg6HiLSAgwJIwieynIMO644iIiIisQKfV4PHQVtg2YwAe6tECAPDjvou4573t+N+f5xyinM2iRCcrKwtGoxE+PpVPGvfx8UF6enq1n5Oenl7t+NLSUmRlZVX7Oa+//jpyc3Mr3i5cuGBJmET24+ZT9xhLxhERERFZUVM3V/z3oa5YOzkMwX5l5Wy/JGL0p7tw8Ly6y9nq1YxAo9FU+lgQhCrX6hpf3fVyrq6u8PDwqPRGJEuBYWJ3NdR0/2vEM10Cw+wZFREREVElPQKbYP3L/TB3dGe4652QmJqH+xbvwcw1fyO7oLjuL6BAFiU6TZs2hU6nq7J6k5mZWWXVppyvr2+1452cnODl5WVhuEQyo9WJLaQBVE12yj6OmM8zXYiIiEhyOq0GE0Jb4Y8ZA/BgWTnbqn0XMHBhHJarsJzNokTHxcUFPXr0wObNmytd37x5M8LCqn9iHRoaWmX877//jp49e8LZ2dnCcIlkKHgUMHYZ4OFX+bqHv3id5+gQERGRjDR1c8V7D3XFmkmh6OTngdxr1/HmL4kY8+luHLpwRerwrMbirmurVq3C448/js8++wyhoaH44osv8OWXXyIpKQmBgYF4/fXXkZqaimXLlgEQ20uHhITg+eefx7PPPov4+HhMmjQJK1euxAMPPGDW9+SBoaQIJiNwbo/YeMDNRyxX40oOERERyVip0YQVf53He78fR35RKTQaYFzPAMwa3hGNG7pIHV61zM0NnCz9wuPGjUN2djbmzp2LtLQ0hISEYOPGjQgMDAQApKWlVTpTJygoCBs3bsSrr76KTz/9FP7+/vjoo4/MTnKIFEOrYwtpIiIiUhQnnRZPhLXCvV38MH/TMaw9cBG/HknD9KEdpA7ttlm8oiMFrugQEREREdnevrM5SM8rwsg7/KUOpUY2W9EhIiIiIiJ16tnKU+oQrKZe7aWJiIiIiIjkjIkOERERERGpDhMdIiIiIiJSHSY6RERERESkOkx0iIiIiIhIdZjoEBERERGR6jDRISIiIiIi1WGiQ0REREREqsNEh4iIiIiIVIeJDhERERERqQ4THSIiIiIiUh0mOkREREREpDpMdIiIiIiISHWY6BARERERkeow0SEiIiIiItVhokNERERERKrDRIeIiIiIiFTHSeoAzCEIAgAgLy9P4kiIiIiIiEhK5TlBeY5QE0UkOvn5+QCAgIAAiSMhIiIiIiI5yM/Ph8FgqPG/a4S6UiEZMJlMuHTpEtzd3aHRaCSLIy8vDwEBAbhw4QI8PDwki4OUg/cMWYr3DNUH7xuyFO8ZspSc7hlBEJCfnw9/f39otTXvxFHEio5Wq0WLFi2kDqOCh4eH5D9gUhbeM2Qp3jNUH7xvyFK8Z8hScrlnalvJKcdmBEREREREpDpMdIiIiIiISHWY6FjA1dUVUVFRcHV1lToUUgjeM2Qp3jNUH7xvyFK8Z8hSSrxnFNGMgIiIiIiIyBJc0SEiIiIiItVhokNERERERKrDRIeIiIiIiFSHiQ4REREREakOEx0iIiIiIlIdJjq3WLx4MYKCgqDX69GjRw/s3Lmz1vFxcXHo0aMH9Ho9Wrdujc8++8xOkZJcWHLP/PTTTxgyZAiaNWsGDw8PhIaG4rfffrNjtCQHlv6dKbd79244OTmhW7dutg2QZMfSe6a4uBhvvPEGAgMD4erqijZt2uDrr7+2U7QkB5beMytWrEDXrl3RsGFD+Pn54amnnkJ2dradoiWp7dixA5GRkfD394dGo8Evv/xS5+coYQ7MROcmq1atwtSpU/HGG2/g4MGDCA8Px/Dhw3H+/Plqx6ekpODee+9FeHg4Dh48iH//+9+YMmUK1q5da+fISSqW3jM7duzAkCFDsHHjRuzfvx/33HMPIiMjcfDgQTtHTlKx9J4pl5ubiwkTJmDQoEF2ipTkoj73zNixY7F161YsXboUx48fx8qVK9GxY0c7Rk1SsvSe2bVrFyZMmICJEyciKSkJq1evxt69e/HMM8/YOXKSSmFhIbp27YpPPvnErPGKmQMLVKFXr17CpEmTKl3r2LGjMGvWrGrH/+tf/xI6duxY6drzzz8v9OnTx2YxkrxYes9UJzg4WIiOjrZ2aCRT9b1nxo0bJ7z55ptCVFSU0LVrVxtGSHJj6T2zadMmwWAwCNnZ2fYIj2TI0nvmv//9r9C6detK1z766COhRYsWNouR5AuA8PPPP9c6RilzYK7olCkpKcH+/fsxdOjQSteHDh2KPXv2VPs58fHxVcYPGzYM+/btw/Xr120WK8lDfe6ZW5lMJuTn58PT09MWIZLM1Pee+eabb3D69GlERUXZOkSSmfrcMzExMejZsyfeffddNG/eHO3bt8eMGTNw7do1e4RMEqvPPRMWFoaLFy9i48aNEAQBGRkZWLNmDUaMGGGPkEmBlDIHdpI6ALnIysqC0WiEj49Ppes+Pj5IT0+v9nPS09OrHV9aWoqsrCz4+fnZLF6SXn3umVstXLgQhYWFGDt2rC1CJJmpzz1z8uRJzJo1Czt37oSTE/9kO5r63DNnzpzBrl27oNfr8fPPPyMrKwsvvPACcnJyuE/HAdTnngkLC8OKFSswbtw4FBUVobS0FKNGjcLHH39sj5BJgZQyB+aKzi00Gk2ljwVBqHKtrvHVXSf1svSeKbdy5UrMmTMHq1atgre3t63CIxky954xGo149NFHER0djfbt29srPJIhS/7OmEwmaDQarFixAr169cK9996L999/H99++y1XdRyIJfdMcnIypkyZgtmzZ2P//v2IjY1FSkoKJk2aZI9QSaGUMAfm48EyTZs2hU6nq/K0IzMzs0rGWs7X17fa8U5OTvDy8rJZrCQP9blnyq1atQoTJ07E6tWrMXjwYFuGSTJi6T2Tn5+Pffv24eDBg3jppZcAiJNYQRDg5OSE33//HQMHDrRL7CSN+vyd8fPzQ/PmzWEwGCquderUCYIg4OLFi2jXrp1NYyZp1eeemTdvHvr27YvXXnsNAHDHHXegUaNGCA8PxzvvvCObp/MkH0qZA3NFp4yLiwt69OiBzZs3V7q+efNmhIWFVfs5oaGhVcb//vvv6NmzJ5ydnW0WK8lDfe4ZQFzJefLJJ/H999+z/tnBWHrPeHh44MiRIzh06FDF26RJk9ChQwccOnQIvXv3tlfoJJH6/J3p27cvLl26hIKCgoprJ06cgFarRYsWLWwaL0mvPvfM1atXodVWnhLqdDoAN57SE91MMXNgiZogyNIPP/wgODs7C0uXLhWSk5OFqVOnCo0aNRLOnj0rCIIgzJo1S3j88ccrxp85c0Zo2LCh8OqrrwrJycnC0qVLBWdnZ2HNmjVS/RPIziy9Z77//nvByclJ+PTTT4W0tLSKtytXrkj1TyA7s/SeuRW7rjkeS++Z/Px8oUWLFsKDDz4oJCUlCXFxcUK7du2EZ555Rqp/AtmZpffMN998Izg5OQmLFy8WTp8+LezatUvo2bOn0KtXL6n+CWRn+fn5wsGDB4WDBw8KAIT3339fOHjwoHDu3DlBEJQ7B2aic4tPP/1UCAwMFFxcXITu3bsLcXFxFf/tiSeeEPr3719p/Pbt24U777xTcHFxEVq1aiUsWbLEzhGT1Cy5Z/r37y8AqPL2xBNP2D9wkoylf2duxkTHMVl6zxw9elQYPHiw0KBBA6FFixbCtGnThKtXr9o5apKSpffMRx99JAQHBwsNGjQQ/Pz8hMcee0y4ePGinaMmqfzxxx+1zk+UOgfWCALXJImIiIiISF24R4eIiIiIiFSHiQ4REREREakOEx0iIiIiIlIdJjpERERERKQ6THSIiIiIiEh1mOgQEREREZHqMNEhIiIiIiLVYaJDRERERESqw0SHiIiIiIhUh4kOERERERGpDhMdIiIiIiJSnf8HXflXicsBaTMAAAAASUVORK5CYII=", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Parameters\n", "eta = 0.0001\n", "nb_epochs = 200\n", "N = len(t)\n", "\n", "# Initialize the weight vector and bias\n", "w = np.zeros(2)\n", "b = 0.\n", "\n", "# Perceptron algorithm\n", "errors = []\n", "losses = []\n", "for epoch in range(nb_epochs):\n", " loss = 0\n", " error = 0\n", " \n", " # Iterate over all training examples\n", " for i in range(N):\n", " # Prediction\n", " y_i = np.sign(np.dot(w, X[i, :]) + b)\n", " # Update the weight\n", " w += eta * (t[i] - y_i) * X[i, :]\n", " # Update the bias\n", " b += eta * (t[i] - y_i) \n", " # Loss mse\n", " loss += (t[i] - y_i)**2\n", " # Count misclassifications\n", " if t[i] != y_i :\n", " error += 1\n", " \n", " # Append \n", " losses.append(loss/N)\n", " errors.append(error/N)\n", " \n", "print(\"Error:\", error/N) \n", "\n", "plt.figure(figsize=(10, 6)) \n", "plt.scatter(X[t==1, 0], X[t==1, 1])\n", "plt.scatter(X[t==-1, 0], X[t==-1, 1])\n", "x_min, x_max = X[:, 0].min(), X[:, 1].max()\n", "plt.plot([x_min, x_max], [-(x_min*w[0] + b)/w[1], -(x_max*w[0] + b)/w[1]])\n", " \n", "plt.figure(figsize=(10, 6))\n", "plt.plot(losses, label=\"Loss\")\n", "plt.plot(errors, label=\"Error\")\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**A:** The learning rate does not change much... We will see why in the next question.\n", "\n", "After a minimum of epochs, the result is stable, because there are no errors anymore: $t_i - y_i$ is always 0, so the weight vector and the bias are not changed anymore." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Q:** Change the initial value of the weight vector $\\mathbf{w}$ to something different from 0 (e.g. [1, -1], [-5, 5], etc). What does it change? Vary the learning rate again and conclude on the importance of weight initialization." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Error: 0.33\n" ] }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Parameters\n", "eta = 0.01\n", "nb_epochs = 20\n", "N = len(t)\n", "\n", "# Initialize the weight vector and bias\n", "w = np.array([-10., 10.])\n", "b = 0.\n", "\n", "# Perceptron algorithm\n", "errors = []\n", "losses = []\n", "for epoch in range(nb_epochs):\n", " loss = 0\n", " error = 0\n", " \n", " # Iterate over all training examples\n", " for i in range(N):\n", " # Prediction\n", " y_i = np.sign(np.dot(w, X[i, :]) + b)\n", " # Update the weight\n", " w += eta * (t[i] - y_i) * X[i, :]\n", " # Update the bias\n", " b += eta * (t[i] - y_i) \n", " # Loss mse\n", " loss += (t[i] - y_i)**2\n", " # Count misclassifications\n", " if t[i] != y_i :\n", " error += 1\n", " \n", " # Append \n", " losses.append(loss/N)\n", " errors.append(error/N)\n", " \n", "print(\"Error:\", error/N) \n", "\n", "plt.figure(figsize=(10, 6)) \n", "plt.scatter(X[t==1, 0], X[t==1, 1])\n", "plt.scatter(X[t==-1, 0], X[t==-1, 1])\n", "x_min, x_max = X[:, 0].min(), X[:, 1].max()\n", "plt.plot([x_min, x_max], [-(x_min*w[0] + b)/w[1], -(x_max*w[0] + b)/w[1]])\n", " \n", "plt.figure(figsize=(10, 6))\n", "plt.plot(losses, label=\"Loss\")\n", "plt.plot(errors, label=\"Error\")\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**A:** Contrary to the case where the weight vector is initially 0, the learning rate had a big influence on the learning speed when the initial weight vector is non-zero. It is even worse with big weights ([-10, 10]).\n", "\n", "The explanation lies on the incremental nature of the perceptron learning rule:\n", "\n", "$$\n", " \\mathbf{w} \\leftarrow \\mathbf{w} + \\eta \\, (t - y) \\, \\mathbf{x}\n", "$$\n", "\n", "If $\\mathbf{w}$ is initially small, the first couple of errors will bring $\\mathbf{w}$ in the right direction very fast. As its norm does not matter for the classification, only the bias will have to grow incrementally.\n", "\n", "If $\\mathbf{w}$ is initially big, you will need a lot of iterations to bring it in the right direction, as you only add small errors at each time step. The learning rate will then influence a lot the speed of convergence." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Non-linearly separable data\n", "\n", "The generated dataset was obviously linearly separable, because you found a linear hyperplane able to classify it... Let's now see what happens when you apply your algorithm on a non-linearly separable dataset. It is basically the same method as before, except that we add one outlier at the end." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "def create_dataset(n_samples):\n", " \n", " rng = np.random.default_rng()\n", " X = rng.uniform(0.0, 1.0, (n_samples-1, 2))\n", " t = np.array([1 if X[i, 0] + X[i, 1] > 1. else -1 for i in range(n_samples-1)])\n", " \n", " # Outlier\n", " X = np.append(X, np.array([0.1, 0.1]).reshape((1, 2)), axis=0)\n", " t = np.append(t, [1])\n", " return X, t\n", "\n", "X, t = create_dataset(100)" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(10, 6))\n", "plt.scatter(X[t==1, 0], X[t==1, 1])\n", "plt.scatter(X[t==-1, 0], X[t==-1, 1])\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Q:** Apply your online Perceptron algorithm (with default values: `eta = 0.1`, `nb_epochs = 20`,$\\mathbf{w}$ and $b$ initialized to 0) to the non-linear data. At the end of learning, compute the final error on the training set. What do you observe? Is it a satisfying result? Does it get better when you change the learning rate or weight initialization?" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Final error: 0.13\n" ] }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Parameters\n", "eta = 0.1\n", "nb_epochs = 100\n", "N = len(t)\n", "\n", "# Initialize the weight vector and bias\n", "w = np.zeros(2)\n", "b = 0.\n", "\n", "# Perceptron algorithm\n", "errors = []\n", "losses = []\n", "for epoch in range(nb_epochs):\n", " loss = 0\n", " error = 0\n", " \n", " # Iterate over all training examples\n", " for i in range(N):\n", " # Prediction\n", " y_i = np.sign(np.dot(w, X[i, :]) + b)\n", " \n", " # Update the weight\n", " w += eta * (t[i] - y_i) * X[i, :] \n", " \n", " # Update the bias\n", " b += eta * (t[i] - y_i) \n", " \n", " # Loss mse\n", " loss += (t[i] - y_i)**2\n", " \n", " # Count misclassifications\n", " if t[i] != y_i :\n", " error += 1\n", " \n", " # Append \n", " losses.append(loss/N)\n", " errors.append(error/N)\n", "\n", "error = 0\n", "for i in range(N):\n", " y_i = np.sign(np.dot(w, X[i, :]) + b)\n", " if t[i] != y_i :\n", " error += 1\n", "print(\"Final error:\", error/N) \n", " \n", "plt.figure(figsize=(10, 6)) \n", "plt.scatter(X[t==1, 0], X[t==1, 1])\n", "plt.scatter(X[t==-1, 0], X[t==-1, 1])\n", "x_min, x_max = X[:, 0].min(), X[:, 1].max()\n", "plt.plot([x_min, x_max], [-(x_min*w[0] + b)/w[1], -(x_max*w[0] + b)/w[1]])\n", " \n", "plt.figure(figsize=(10, 6))\n", "plt.plot(losses, label=\"Loss\")\n", "plt.plot(errors, label=\"Error\")\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**A:** The outlier heavily attracts the hyperplane and changing the hyperparameters does not improve the situation. That's bad." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Soft linear classification: logistic regression" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's now see whether **logistic regression** helps us with outliers. The following cell implements the logistic function:\n", "\n", "$$\\sigma(x) = \\dfrac{1}{1 + e^{-x}}$$" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [], "source": [ "def logistic(x):\n", " return 1. / (1 + np.exp(-x))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In logistic regression, the prediction $y = \\sigma(w \\, x + b)$ represents the probability of belonging to the positive class. If $y>0.5$, we can say that the example belongs to the positive class.\n", "\n", "As seen in the course, there is absolutely no difference in the learning algorithm apart from using the logistic function instead of the sign. One thing to take care of, though, is that the targets $t_i$ should be 0 and 1 in the logistic regression algorithm, while they are -1 and 1 in the current vector $\\mathbf{t}$. The following cell transforms the array `t` to match the output of the logistic function." ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [], "source": [ "t[t==-1] = 0" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Q:** Implement the logistic regression algorithm on the non-linear data. When computing the error, you will need to predict the class based on the probability $y$. What do you observe? Conclude." ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Final error: 0.02\n" ] }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Parameters\n", "eta = 0.1\n", "nb_epochs = 100\n", "N = len(t)\n", "\n", "# Initialize the weight vector and bias\n", "w = np.zeros(2)\n", "b = 0.\n", "\n", "# Perceptron algorithm\n", "errors = []\n", "losses = []\n", "for epoch in range(nb_epochs):\n", " loss = 0\n", " error = 0\n", " \n", " # Iterate over all training examples\n", " for i in range(N):\n", " # Probability\n", " y_i = logistic(np.dot(w, X[i, :]) + b)\n", " \n", " # Predicted class\n", " c_i = 1.0 if y_i > 0.5 else 0.0\n", " \n", " # Update the weight\n", " w += eta * (t[i] - y_i) * X[i, :] \n", " \n", " # Update the bias\n", " b += eta * (t[i] - y_i) \n", " \n", " # Loss mse\n", " loss += (t[i] - y_i)**2\n", " \n", " # Count misclassifications\n", " if t[i] != c_i :\n", " error += 1\n", " \n", " # Append \n", " losses.append(loss/N)\n", " errors.append(error/N)\n", "\n", "# Final error\n", "error = 0\n", "for i in range(N):\n", " y_i = logistic(np.dot(w, X[i, :]) + b)\n", " c_i = 1.0 if y_i > 0.5 else 0.0\n", " if t[i] != c_i :\n", " error += 1\n", "print(\"Final error:\", error/N) \n", " \n", "plt.figure(figsize=(10, 6)) \n", "plt.scatter(X[t==1, 0], X[t==1, 1])\n", "plt.scatter(X[t==0, 0], X[t==0, 1])\n", "x_min, x_max = X[:, 0].min(), X[:, 1].max()\n", "plt.plot([x_min, x_max], [-(x_min*w[0] + b)/w[1], -(x_max*w[0] + b)/w[1]])\n", " \n", "plt.figure(figsize=(10, 6))\n", "plt.plot(losses, label=\"Loss\")\n", "plt.plot(errors, label=\"Error\")\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**A:** As logistic regression does not use \"hard\" boundaries like the perceptron, but soft ones, it is much more robust to outliers. As we have in addition the confidence score, the conclusion is that one should never use the perceptron algorithm but logistic regression for binary classification." ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x_1, x_2 = np.meshgrid(np.linspace(0, 1, 100), np.linspace(0, 1, 100))\n", "\n", "y = logistic(w[0] * x_1 + w[1] * x_2 + b)\n", "\n", "fig = plt.figure(figsize=(10, 8))\n", "ax = fig.add_subplot(1, 1, 1)\n", "\n", "s = ax.contourf(x_1, x_2, y, 10, cmap='RdGy', alpha=0.2, vmin=0., vmax=1.0)\n", "cb = fig.colorbar(s)\n", "\n", "plt.scatter(X[t==1, 0], X[t==1, 1])\n", "plt.scatter(X[t==0, 0], X[t==0, 1])\n", "x_min, x_max = X[:, 0].min(), X[:, 1].max()\n", "plt.plot([x_min, x_max], [-(x_min*w[0] + b)/w[1], -(x_max*w[0] + b)/w[1]], 'k')\n", "plt.show()\n" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3.9.13 ('base')", "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": "3.9.13" }, "vscode": { "interpreter": { "hash": "3d24234067c217f49dc985cbc60012ce72928059d528f330ba9cb23ce737906d" } } }, "nbformat": 4, "nbformat_minor": 4 }