{"cells": [{"cell_type": "markdown", "metadata": {}, "source": ["# 05.01 - TIME SERIES PREDICTIONS"]}, {"cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": ["!wget --no-cache -O init.py -q https://raw.githubusercontent.com/rramosp/ai4eng.v1.20211.udea/main/content/init.py\n", "import init; init.init(force_download=False); init.get_weblink()"]}, {"cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": ["import numpy as np\n", "import matplotlib.pyplot as plt\n", "import pandas as pd\n", "import local.lib.timeseries as ts\n", "%matplotlib inline"]}, {"cell_type": "markdown", "metadata": {}, "source": ["## The data"]}, {"cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [{"data": {"text/html": ["
\n", "\n", "
\n", " \n", " \n", " | \n", " Rate | \n", " High (est) | \n", " Low (est) | \n", "
\n", " \n", " Date | \n", " | \n", " | \n", " | \n", "
\n", " \n", " \n", " \n", " 1999-09-06 | \n", " 2068.55 | \n", " 0.0 | \n", " 0.0 | \n", "
\n", " \n", " 1999-09-07 | \n", " 2078.17 | \n", " 2103.0 | \n", " 2053.7 | \n", "
\n", " \n", " 1999-09-08 | \n", " 2091.05 | \n", " 0.0 | \n", " 0.0 | \n", "
\n", " \n", " 1999-09-09 | \n", " 2093.84 | \n", " 2118.6 | \n", " 2069.4 | \n", "
\n", " \n", " 1999-09-10 | \n", " 2087.55 | \n", " 0.0 | \n", " 0.0 | \n", "
\n", " \n", "
\n", "
"], "text/plain": [" Rate High (est) Low (est)\n", "Date \n", "1999-09-06 2068.55 0.0 0.0\n", "1999-09-07 2078.17 2103.0 2053.7\n", "1999-09-08 2091.05 0.0 0.0\n", "1999-09-09 2093.84 2118.6 2069.4\n", "1999-09-10 2087.55 0.0 0.0"]}, "execution_count": 2, "metadata": {}, "output_type": "execute_result"}], "source": ["d = pd.read_csv(\"local/data/eurcop.csv\")\n", "d.index = pd.to_datetime(d.Date)\n", "del(d[\"Date\"])\n", "d.head()"]}, {"cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [{"data": {"text/plain": [""]}, "execution_count": 3, "metadata": {}, "output_type": "execute_result"}, {"data": {"image/png": "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\n", "text/plain": [""]}, "metadata": {"needs_background": "light"}, "output_type": "display_data"}], "source": ["d.plot(figsize=(15,3))"]}, {"cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [{"data": {"text/plain": [""]}, "execution_count": 4, "metadata": {}, "output_type": "execute_result"}, {"data": {"image/png": "iVBORw0KGgoAAAANSUhEUgAAA3MAAADLCAYAAADEOMr/AAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4xLjIsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy8li6FKAAAgAElEQVR4nOyddXgU1/fG37uSjbsgISSB4IHg7m6lVCh1Wvpt+6tAvUAp1KFG3WihTmlLheLuHiRAsEAIxIi77+78/hjZmbVsQjzn8zx9unNH9m5IZufcc877Mo7jQBAEQRAEQRAEQTQuVPU9AYIgCIIgCIIgCKLqUDBHEARBEARBEATRCKFgjiAIgiAIgiAIohFCwRxBEARBEARBEEQjhII5giAIgiAIgiCIRggFcwRBEARBEARBEI0QTX1PwB7+/v5caGhofU+DIAiCIAiCIAiiXjh+/Hgmx3EB1vY16GAuNDQU0dHR9T0NgiAIgiAIgiCIeoExds3WPiqzJAiCIAiCIAiCaIRQMEcQBEEQBEEQBNEIoWCOIAiCIAiCIAiiEdKge+asUVFRgaSkJJSWltb3VGoVZ2dnBAcHQ6vV1vdUCIIgCIIgCIKwws+Hr6FTCw/0DfWtl/dvdMFcUlISPDw8EBoaCsZYfU+nVuA4DllZWUhKSkJYWFh9T4cgCIIgCIIgCDMyCsrw6r9nAQBXl0yql9ik0ZVZlpaWws/Pr8kGcgDAGIOfn1+Tzz4SBEEQBEEQRGPFyHHS67WnUuplDo0umAPQpAM5kebwGQmCIAiCIAiisVJhMEqvz9/Ir5c5NMpgrr5Rq9WIiopCt27dMHXqVOTm5to9Pjc3F19++WUdzY4gCIIgCIIgiNpm14V06XVxmaFe5kDBXDVwcXHBqVOncPbsWfj6+uKLL76wezwFcwRBEARBEATRtPjpkMnLu7BMXy9zoGDuJhk4cCCSk5MBAIWFhRg9ejR69eqFyMhIrF27FgAwb948XLlyBVFRUXjxxRcBAO+//z769u2L7t27Y/HixfU2f4IgCIIgCIIgqo68Z66gtH6CuUanZinn9XWxOJdSs/WpXVp5YvHUrg4dazAYsGPHDsyePRsAbyfwzz//wNPTE5mZmRgwYABuueUWLF26FGfPnsWpU6cAAFu3bkVcXByOHj0KjuNwyy23YO/evRg2bFiNfhaCIAiCIAiCIGqH1DyTWGGwj0u9zKFRB3P1RUlJCaKiopCcnIzOnTtj7NixAHhLgQULFmDv3r1QqVRITk5GWlqaxflbt27F1q1b0bNnTwB8Ri8uLo6COYIgCIIgCIJoJLho1SguN8Df3QllemPlJ9QCjTqYczSDVtOIPXPFxcUYP348vvjiC8yZMwe//vorMjIycPz4cWi1WoSGhlq1F+A4DvPnz8djjz1WD7MnCIIgCIIgiOZD6LwNuLtfCJbcFlmj160wGDFrUCj2xmUgv6SiRq/tKNQzdxO4urri008/xYcffgi9Xo+8vDwEBgZCq9Vi165duHaNb4r08PBAQUGBdN748eOxcuVKFBYWAgCSk5ORnp5u9T0IgiAIgiAIgrg5fjt6vcavWaY3QqdVocJgxIYzqSgpr3tFy0admWsI9OzZE927d8dvv/2Ge++9F1OnTkVkZCT69OmDTp06AQD8/PwwePBgdOvWDRMnTsT777+P8+fPY+DAgQAAd3d3/PLLLwgMDKzPj0IQBEEQBEEQRCXsvZQBjZqhTG+Es0aNxOwSAMC+uAyM69qiTudCwVw1EDNqIuvWrZNeHzp0yOo5q1atUmzPnTsXc+fOrfnJEQRBEARBEARRazyw8qj02lmrxjvTI7HgnzM4eCWrzoM5KrMkCIIgCIIgCKJJwsnsA6pDbnE5nlp1ApfTC63u12lU8HN3AgD8cDDhpt6rOlAwRxAEQRAEQRBEk0RvvLlg7s/oJKw/nYrPd8ZZ3e+sVUNvuLn3uBkomCMIgiAIgiAIoklys4HW2xvPAwD+PZUCo5GDwSw4dNaq0Lutj7RtvMngsao0ymDuZtOljYHm8BkJgiAIgiAIojbRG6vv/5aaV6LYnvHNIbRbsFEx5qxVo4WXM+ZP5IUPS/V1q2jZ6II5Z2dnZGVlNelgh+M4ZGVlwdnZub6nQhAEQRAEQRCNlpvJzI3/aK9iO/pajsUxOg0fTrk6qQEAxXVsT1CpmiVjzBnAXgA64fg1HMctZoz9AGA4gDzh0Fkcx51ijDEAnwCYBKBYGD8hXOtBAAuF49/iOO7Hqk44ODgYSUlJyMjIqOqpjQpnZ2cEBwfX9zQIgiAIgiAIotEi75kzGjmoVMzhc/NL9dLr8AA3xGcUWRzjrOWDOBcnPqz6fOdlFJfrseS27lCrGLKLyuHlooW6Cu9bFRyxJigDMIrjuELGmBbAfsbYJmHfixzHrTE7fiKACOG//gC+AtCfMeYLYDGAPgA4AMcZY/9xHGcZ4tpBq9UiLCysKqcQBEEQBEEQBNEMkZdZnk3JQ/dg7+pdx0aGr7SCz8SJmTlR0TI8wB239WyNfu/swOwhYXh1SpdqvW9lVFpmyfGIWpxa4T97+cppAH4SzjsMwJsx1hLAeADbOI7LFgK4bQAm3Nz0CYKoCvEZhYjPsC6tSxAEQRAE0dSQB2G3fH4AAHA5vRATPt6LjIIyu+fKk2kVBmXv3cpZfTBndASGRgQAAFyEYE7k5PUc9HtnBwDg58PXqj3/ynCoZ44xpmaMnQKQDj4gOyLsepsxdpox9hFjTCeMtQaQKDs9SRizNW7+Xo8yxqIZY9FNvZSSIOqS+IxCjPpwD0Z9uKe+p0IQBEEQBFEnmFsTfLz9EsYs24MLNwqw9lSy3XPFLN6U7i1RYeDQpaWntM/PTYfnxnaAk9gzp1UGc6UVpuBPzayXWP59IgnpBaU23z85twTnU/PtztGhYI7jOAPHcVEAggH0Y4x1AzAfQCcAfQH4AnjZkWs58F7LOY7rw3Fcn4CAgJq4JEEQ4BWYRELnbcC1LMu6b4IgCIIgiKaEwUzN8uPtJr84sUTSFkaOw8iOAfB31yGzsAzZReUAgMHt/RAe4KY41tVJ2b1WXG7qt9NY6ZfLL63Ac3/E4O7lh22+/+ClOzHxk31251glNUuO43IB7AIwgeO4VKGUsgzA9wD6CYclA2gjOy1YGLM1ThBEHZBZWK7Y/mjbJQBAdlE5TiXm1seUCIKwgcHIIXTeBry7+UJ9T4UgCKJRU2FHzbJMb9+2oMLAQaNWYURHPsF0I78U06Ja4ddHBsDDWas41rzM8liCSRbE2WwfABQK4ipXrIiqVIVKgznGWABjzFt47QJgLIALQh8cBPXKWwGcFU75D8ADjGcAgDyO41IBbAEwjjHmwxjzATBOGCMIoh7oLJQKTPpkH2794gD+OZlUzzMiCEJENKX9bl98Pc+EIAiicZNXUmFzX2XBnMFohEbFMKS9P7RqPrvmpLYePjlrbYdVbX1dLcbELJ8tzHv0bOGImmVLAD8yxtTgg78/OI5bzxjbyRgLAMAAnALwuHD8RvC2BJfBWxM8BAAcx2Uzxt4EcEw47g2O47IdmiVBEDeFwWi5KvV7dCIGt/fHjXy+VvvZ32MwKbIldBrL1SOCIOoHK3+6EgYjBxUDmI1eDIIgCAK4nl1sc195JcGc3shBrWLQqFVo5e2Ca1nFKLcRZLXwtO0PLb+VZxSUoe/b2xX7swrL4OeuU4zti3NMO6TSYI7juNMAeloZH2XjeA7Akzb2rQSw0qGZEUQT5vOdcUjJK8XCyZ0taqyrws4LaUjILMa9A0LsBmEvromxGIvPKMKUz/Yrxs6nFiCqTfUkewmCqDk4u6LRPFM+2492AW74/J5edTAjgiCIxom97FtlapYVBiO0QiZONAdPzimxeqxGrUJrbxck5yr3+7s7QS8EgEVlevwRnWhxbnxmEVydNIpSzdQ828IocqrUM0cQxM1TVKbHB1svYdWR63hpzelqXyc1rwQP/xCNN9afw2c7LuO7ffGKRt7NZ1Mx/qO9OHglE3+fcKw9tbhMX/lBBEHUOhwn/t92UHc+NR/rT6dW6/qlFYZKFdIIgiCaAkWyZ5vnx3aQXvu767DrYnol5xrgpuMDrLdujUSXlp54947uNo8XSzH7tPWRxiJbeyEmKQ/pBaXoungL3t9yUdq3SPCeu/PrQ7j1iwOKa9krD5VT/ZQAQRDVIl7W6LrjvP2biD1yikx/5J/vugwA2H85Ez881A8zlx/C4Xi+ivmeb49Ix717eyTaB7rjnm+PKFaqhkb4Y19cJjIK7a9QEQRRN4gxnL0yy5vhuT9OYeOZGzgwbxRae7vUzpsQBEE0AApL9VAx4OJbE2EwcvhQEIDzdtUis7AMHMdZLVcv1xuRXVQOdx0vdNIvzBcb5w61+179w/yQkFWMj2dG4e8TyVKby66LGdhy9obi2FOLxuL4NZNIysW0AsX+vGLHgjnKzBFEHZNfavrjDA9ws7vybo9MK4HX7osZyCupkAI5OeufHoK7+oagd1tfmL/lM2MiAFRebkAQRN3gSJnlzbDxDP9QkUULOARBNHEKy/Rw02mgVaukUkkAmNStBQCg15vbEDpvA86lKKsVrmfzi+/2hE3MeePWrlj/9BAE+7hizugIPDu2A54Y2Q6AZabN29VJKuEUkR/jaGaOgjmCqGMKBCnaYB8XxKbkI2z+Rny1+0qVryMGcwsnd1aMv7/FUsr87end0K21l7RtMIvmAj2c4aRWUTBHEA2Eaq7xVBm5qS1BEERTpKhMDzdBn0DMwA0I94W3qxMAIEfIgP0Xk6I4r7CMb13pHuwFR9Fp1IrnLXEMAD7Yekkae2xYOAAgwczzd+MZU+l8XkmFQ5UTFMwRRB0j1m638jL9gb67+YJCcfJGXike+TEaB69k2rxOuhB4TejWAuH+britV2toVAx7LvHqR5MjW0rH3tu/reJco9mToqezFgEeuioHc3d8dRCh8zbU6up+ud6Ihf+eQWqe9YZjgmiKmP+N3gylFQa8se6c1ZKdygxzCYIgGjM/HLiKP48nQV5FeWj+KPzwUD8LXzjzDNxXu/kWlpsRqrPGnNERmD+JX4i/o3ewYt/8v8+gwyubkJpXgvzSCrTwcoafm5Pd61EwRxB1TKEQzC27q4diPCnHJJ37+7FEbD+fhh8OJKCk3PrD1rqYFLT0ckawjyt2vjACy2ZEoX2gOxKz+aBn8dQumNC1Bb6f1dfi3PYB7gCACV1bYPn9veHlqoW/hw5/n0yuVKZX5Pk/YhAt1HrHpRc6dE5lnE3Ow6c74qTSU47jsP50Cn45fB3PrD5VI+9BEI2BmkzMrYtJwcoDV/HhNr7p3ihbOKJgjiCIpsySTXy1klwZsqWXC5y1aovgzVnLB3cHL2di4if7sCU2DQDgrqvZYM5VFkS6OmmwbEYPvDM9UhorNxix9xLfNuPlokWwFY86OSSAQhB1CMdxyBJMIgM9nNG1lSdihRrtizcK0NbPDQCQnMsHdlvPpeGOrw9iwxxlw21JuQGxKfkYEO6rGO/S0hMXbhSAMcDXzQlf39/b6jw+nhmFHw4k4M1bu0k3LxfhpjZ39Ul8dZ/18+T8dcJkMp5bbN/40lEW/nsWpxJzoVYxbDuXhlOJudK+I1f5PsAzSXlQqYCurRwveyCIxkZtlFmKC0lyj6TKDHMJgiAaMz3aeOPoVeu21i5aZWZOo+LTd/d8d0Qx7upUs/675te7rVcwziTlKcYYGPJL9GgfoKn0/SkzRxA1jNGO/Nys74/h0x1xcHNSw0mjwrIZUZgzqj00KoaTssBFXu4Ym5KPk9dzFNcRa6ynRbVWjHs48+szHMf7ndiiaysvvH9nDymQA4Ah7f0BAJvM1JYc4fFfTtjMIFYFsZTy/S0XFYGcSGmFAVM/34/Jn+632EcQTYoaDOYyC/nFFjHrXiEL5igzRxBEc8XZLJiztbjl7lyzuS9r5uKuOuVc1ComZebUKkulTTkUzBFEDVFaYUDovA14+MdjVvfnFpdL/WxFQuDTsYUHnhvXEd1aeynkaZPMDCm/P5Cg2E7I5IO5SLMm24Ht/Ks9fxdZTXiZvuoPeL8dvS69js8olAwyq0KokJk0RwxSjyVYX10jiKZGTfXM7TifhkPxWQCA9adTUaY3QG+QlVlSZo4giCaMXL3SHC8XrWJ709lUhX6BiK+r/Z41R/j8np7S66gQb4v95tm35/+MQV5JBTxdtFIFly2ozJIgaog/oxMB8PYA1thsJ+PVIcgdf0QnoeuizeAAFJtlucxLAa4KmblQf2XwM6FbCxx9ZXRVpw4AcJPdSDou3Iwv7+2FTi088OfxJLw0vqNVDxY5b6w/h4ggd4T6uWHUh3v4eS6ZVOl5corK9RgY7of7BrTFk6tOSOOTI1ti9bFEbKimQTJBNDZqKjE3+8doxfbW2DQEyVaF8x2UviYIgmiMiKWT71sx+g73d1dsn03OxzUzdUkPncZupZOjTOneCqF+bth/OROBHlYyczZEVrxctHYrvgDKzBFEjSH2dLk6qcFxHOauPokd59Ok/fP+PgMAaO3tguVmvWxhwg2lqNwgBXJ//d8gvDM9EsM6BOBgvFLVMiGzCAEeOqtNuYEezlZvFJUxuL0yq/fErycw6sM9+Gr3Fatm4s5aFVp7u2DDnCHS2P0rjmLoe7uk7RizGnB7cByHG3llaOPrgsndTUqcpxaNxSRBmVNU8NRUUnJA8CV1ybmkANpYqcx/8mb8Kef8dlLalt+jCIIgmhLleiN2XcxARKA77uzTxmK/l6vWYsx8MX2C4EVXE3Rr7YXHh7ezus9WX5ynsxZ6CuYIouZJyS3BYz9HY9m2S1JKXiyTLNMbkV5QhrWnUqRV8YX/8oGcn5sT9r88EuO6Km8OwT6WPiK92/rgnv4hGNUxAInZJQq1y6uZRQizUZJYXdr4umJohPUyzRf+PG3RE6dRqTC+q/2bXIyVvjdbZBSUIbOwDO0DlStl3q5OknywKLSiN3JWSyEIEwv+OYPBS3dST1QjpbLf7ur+/r++7hxu5JtU3eQKbwRBEE2JXm9uA1A1xe1cMwuX+MwiG0fWLHLz8DendZVeD+8YgFGdAu2eS8EcQVSDhf+exZbYNHy6Iw7tFmzE78euIzWvFIEeOhiMHKIT+MDOXaeB3mDEL4f5frLHh7ezWnY4rmsQXhjXAU7CH/P254ZJ+wa08wMAHI7nM38ZBWU4lpCDVt5Vz75VhryXRs7eSxlYJsiaA8DppFwUlunh7qxRlGzJ0agY1hxPsrrPGnlCuVcLwX9v9aMD8MnMKACAj1CvfuK6KTgsFMzXCetsFzIu2UU1ozRK1C2V9cyZx3Jf7LqMKZ/tk7Y5jsM7G8/bvcaEri2QmleKdzdfqPY8CYIgGiqigq89xnQOUmzft0KpZLl4apcanVNl3D+gLe4fGIqEpZORsHQygjydsXByZ7vnUM8cQVQDcyn+l//iM29DIwLw14kk7BWETnzctFi27RIAYEznQDwwSGneLaLTqPHUqAg8PCQMRk7padIh0AOezhqcuJ6DO3oHY/zHewEAOVYMgG8We8InKcIKflxaAW75/AAAvizA312Hi29NQEm5ARUG3hdu1qBQPP9nDLafq7yEa11MClJyS9AvjLdZcBcUnQaE+0nHmGfrACC/tMJqiYQIx3H4ek88pkW1Qitvy8xnU0clLBpkF5U3y8/f6Kkk8WYe7L2/hV9s4TgOjDFkF5Vj+d54u9cIC+Cz+1/tvoKXJ3Sq/lwJgiAaGJcdzMYtv783Ckr1yCgsw5hle6TxhZM7o1trL3QPthQrqS0Slk62Ol5Zzx5l5giiGthKu9/em7cK+PdUMgAgMbsEX+6+AgBYNKUrdBr7XiGuThqLPjiViiHAQ4e84gqU6Q1SpmVaVKub+gzWeGVyZ9w/oC1Gdgyw2KcWgoOxH+2VxsZ24Ve0dBo1vF2dEOChw0ODw8AYQ7sAd+SX6lFcrkdqXgkmfrIPr/xzxuK6T/92Eks2XcC6GF7cxM1GE7A5KZX0g93I5zMOD31vXV20qSP+nqzYf7WeZ0JUlUtpBZIfpS1sZe4qhOy6NYntd2+PVGx3auFRzRkSBEE0bOSBmT1UKgYvVy3aB7pjiqxfP8BDp1hUbshQMEcQVSQxu9iiphoAoheOQa8QH2hUDGV6I3zdTFK2c0a1R4ifa7Xf091Zi4IyPRKz+QBm4eTOuK1XcLWvZ4vebX3x5q3d8OW9vfH9rL4KIRK1iln06bQLsMyYibT04ssvYxLzMHDJTpxPzcevR65L5ZTmrDzABx1uVkRdAMvgdUus/ayf+Kx7Lbtu6t0bElkywZrzqfYljYmGx7iP9mLiJ/vsHmOrZ070kLuWVawY/+b+3rirb4ikWntP/xDc0qMVegoS2dbU0oocKFEiCIJoKsjF4zSqxhMiNZ6ZEkQD4cBlXlly/dNDFOP+7jo4a9WS6tCsQaHSvpCbFCvx0GlQWFoh+ctFtandtL+LkxojOwVi0RRTrThjJtNhAFjz+EC71wjw0AEAXvsvVjEuGoMDluWqgMlTzhzzRMTKA1fx48EEhcG6HHGupRXNy0drz6UMyRoCIIGLpoC18md57JUuEzQR+14zZQH93f1CMLIj30DfVfCmnNK9JRhjmNSNX7ApKlcGbnFpBei6eAv+ECxXCIIgGguVSfnbQqM2aRoYasjrsy6gYI4gqoAoKuDhrEHnlp7S+O+PDpBetxb6k6b2aIV9L43EAwPbYkxn+0pEleGu0+DE9Vw88hOvjtnNzCy8tgj00OGx4eEA+EzAIZlFQu+2PnbPFctFL6YVKMblghzrzHzj/N2dEOJrPYMZbcUwfPF/sXh9XSzyrGRKK2Sm5cXlzSfDsODvM1L2c0r3lsgrqVAE4c2dcr2x2rL+9YW1Uln5w0q/d3ZIr8sN4iKGaHEyEEtui4STYJzbxof/+xKNdN2FxZMCM0GhS2l8v8nO8+k18hkIgiDqiuvZfGWCuoo2RvKj9YbG871JwRxBVIGCMj3yS/WY2beN4ibRX1ZXvfvFETg0fxTC/N3QxtcVb0zrBm9XJ2uXcxhfd+X5zlr7vXc1BWMM8yd2RrsAN+gNHF79l8+yLZrSpVIzcA9n6+Ik8kza+dR8eLlopQygTqO2ed1vH+xjdXz96VT0eGOrxbi8Z6jLoi3NRqLfWWu6rYsZ3Bf+jMFXQu+myJrjSVjZzPrpyvVGRL2xFR9uvVTfU7GJNfU1lZW/CVs9c3qjEMwJv/9tzBZH3pjWFR/c2QO9QvjFGA8bwdyqo9cA2PY+Igii/qkwGB1SbGxulAjf95/f3bNK58WmmNoSGpNwGAVzBFEFsgv5rFKnFnxWbtuzw/DdA8ogQ6tWoaVXzd4EHhkSVqPXqyqlFUZsOJMqZc2m92xd6TntA93x0OBQaXu1kL3cF2fK7sUk5sJdp0E7Qa3Snsl1l5aeGBjuZ1Oid/lePlhJyCzC0k0XLIw/80srsCX2Bo5etczwNXZW7L+K0HkbEPHKRvi58eWtrk5q6UH+v5gUC/n5F/6MwRvrz+G6WW9VUyanuBzF5QZ8vuuyYrxcb8Tdyw/jVBV8EWuLgUt2WIwFuOssxmyVAIm/92XCw4z5wo+bToM7egdLiyZisFZSYcC+uAwkZhejwmDEgctZ/H4dBXME0VB5fV0sui3e0uiqDWobcfFWp61amFNQaqry6S8obDcGKJgjiCqw6yJfciRmyiKCPDCmS5C9U2qE8AB3xL09EQDQK6TuZHJFurXmg9dD8VkI93eDj5tjmcbHhrUDwJc6RLXxhpuTWlHyGJuSD47jpAxSazsrYYwx/PboADwyNNzq/g1nbqCwTI8RH+zG13uuYMY3hxT7v9h5GY/9fBwzvjmE/NKat3WoT/4+wfv5VRg4HE3IhpuTGpvmDrVZsirntXWx1e4vaGyYZ59E4tILcCg+C/P+Ol3HM7LE2hyf/zPGYsxoowJILLEVH2acK1HQFY1qC0orcP+Koxj63i5EvLJJ2u+ouixBEHWP6GHbTG7hDiNW5lR2/zNHvhBfWfVRQ4Lu0gRRBT7bya/o92pjv1+sNtCqVVj75GCE+t+cmEp1+ODOHtgSy5cy2rJlsEYLL2cce2UM8koq4KxVo1dbHyTnlCC/tALvbuIzRWO7BMHLRYuYRePg7OTY+tLaJwfDTaeR/OdmfX8UWYXl2HA6xeLYu/q0we/Rifjx0DVpbPHaWHx0V5TDn6OhY16GV1RuQFs/N5tqhGLwBwA7L6RjS+wNTIxsafXYpkSBjSBeLJmuzKi7PinTG+CkVkkPGLbmagrmjFAxQKu2/0AiBnO/H7MudCL21hEE0XDRG41QqyiLLrJH8PrVVbEl5d3bu2NoB/9GZ9tS6V2aMebMGDvKGIthjMUyxl4XxsMYY0cYY5cZY78zxpyEcZ2wfVnYHyq71nxh/CJjbHxtfSiCqA3ySyuQXVSO+RM72TWrrk16tPGGl0vdv7et/jdHCPDQSUFXC09nxCTloftrW/HrEX5FsUsrPuvn5aqt1IdPpEcbb4WRuLeLFteziyXzdsCU5ZvZrw1czG7o/5xMxv0rjjSqBmd7uJj1Nc0WynLN+50MRg75pRV47g9lpqcyTzM528+lITG7YZVmpuWX4pnVJ5FTyef4WRbQyxE9FG3J/TcEOi7cLBmDA7bnejoxDwCfmXPW2u5BFRGDufVmYkTS+zTgAJcgCJ6GfO+qD8Qe8aouRnm5anFv/7bo3bbxlFgCjpVZlgEYxXFcDwBRACYwxgYAeBfARxzHtQeQA2C2cPxsADnC+EfCcWCMdQEwE0BXABMAfMkYo2UEotEgKib6Olhi2NT447GBWDCpEy69NbHa17BW3tixhaeVI6tGxxaeFv51Yv+dk0ZlNQu3Ly4Tfx5PshhvLHAch4X/nkFSTrFFH6DYV8gYwy+z++N/Q/ngLr+kAp/vvGxxraqoXT7yUzQmfLy38gPrkN+PJeLfUyn464T9f8/TyXlWx1VSZq7GpwYAOHE9R5ENrSp9Q/lKgC93X5EWIGzFWGIZ83f7r1r0jVqjsocd0ergcHwWur+2pUZ7LA1GzqbvJEEQjqNvoMFcQmYRQudtwM4L9szyuYYAACAASURBVH1hawtr4lFNkUqDOY6nUNjUCv9xAEYBWCOM/wjgVuH1NGEbwv7RjF8anAZgNcdxZRzHXQVwGUC/GvkUBFHLJGYXY5Jg4nszWarGTL8wXzw6rJ0kcV4dnh/XEZGtvTApsoU0FlkDNgtyQ/FAD53iAVWnUWN81yDpPb99oI/0Geb/fQaNlXu+PYJfDl/HkHd3KcZVTFnrPyTCXxJCufvbwzh4hRegkf/cq6jejCIHgoS6JMeKX6E1hkb4S6+t2VXUVpnlPd8etsiGmmMwclhjY3Ehs9D0+X47yme0bWXMKgxV+wxiZs6c2UPC4K7TSA+JM5cfRn6pHq+ti7V6fHV4cU0Mery+FWdtBNkEQTiGoYp/93XFfzF868PaU5YtEHUBh4b5c6lpHHoqY4ypGWOnAKQD2AbgCoBcjuPEb8MkAKK8XWsAiQAg7M8D4Ccft3KO/L0eZYxFM8aiMzIyqv6JCKIWWH3sOgqE/iNPF2o1rS4dgjyw7ukh+PLe3pgzOgIPDw6rsg+MNVp5u0i+f29M66qwJQjxdQVjDF/e2xv7XhqJsV2CcHj+6Jt+z/pEbzDiUHyWYuzhwWG48OYExL4+weJ4sQTnwo0CnE3mpZflAa/KwX+DhqqYJn6+yqaXIOv3TMg0ZZhEAZjaKlVyxLj++LUcvGBF6AQArsrm/epaPpiyFXiuPHC1SuXDQZ6WSpkAMH9iJ6hVzOJncrM/I6ORQ3JuCQpKK/D3iWQAwJzVJ2/qmgTR3Gmombll23gbmLpsDzknsxcIqweNgfrAoWCO4zgDx3FRAILBZ9M61daEOI5bznFcH47j+gQEBNTW2xBElZA/TNWVx1tT57mxHbBoapcau56YbdOoTLe1FQ/2UWQSxQyVr5sTnhvbAQAs/NcaA/lWFA8XTu4MZ63aon8OACZZETeRf/WXVhgwc/khHDYLEM2RZ302n73RYHoOxTJRWwInAB+IZhdXwEnIRN0lUzsVs1y1reppLxiuig9iaYUBB68o/63GdA6UXifm2Lb4MMeWB6ZGrYJGxaA3Kk3Wne1Iff8RnYih7+20+zl/OJiAwUt3YpXQMwvYVhklCMIxGnrPnLXvpdrg92PXMelTvopqTOdAuDYTNd4q1UtxHJcLYBeAgQC8GWPiTykYQLLwOhlAGwAQ9nsByJKPWzmHIBo0cWmF0usuLW++x4uoeXTCQ7papt4X4GE96wAAHYJ4AZV3N19QBOuNgVwrZYX2smtBns7454lBNvdfyyrG4fhszFx+2O776mV6+I//chztX9lk4V9XH+QK/azWglyR19edQ0xiLlr78MI4BWV6ZAuCKeKDUG2LfTi6ei4vQ57Zt43F/iUbz+PVf89K24fnj8ZX9/WWtk8nVc0vb83jAxXbsa/z+mRqFYPewCkeFDsGmVTeTiflYvneK6gQgvqX1pxGYnaJ3VJP0d5lySbT782wiABwHIdPtsfhWlbj+lskiIaA3pZXSQMhv6R2FmxKKwyKigu5CFpGoePCXo0dR9QsAxhj3sJrFwBjAZwHH9TdIRz2IIC1wuv/hG0I+3dy/DLdfwBmCmqXYQAiABytqQ9CELVJQake/cN8cWrRWMrMNVC0Gj6YUcv6xfytmC2LjOtiemAe+cFumzL+DZHcaohG9Azxwd39lIHB5O58xu5XWZbE1grvZzviMOv7Yxbj9Z3ZLC7XIzGHL5m05R+YXVSOHw4mAAD8ZAJGmYVlAIBDQpZLnmgMnbcBj/4UXaNz1dsJcipkb66WZZetKeeeTy1QbAd56hS9b3NXn6rSvPqEmpTbhkb4w03Hr9OmF5Rh+/k0RRBaIXv9zOpTeGfjBZxOylUImXy+67JVxdPZPxzDvrhMi/G/TiThy91X8NH2Sxj+/u4GW85LEA2Vhp6Zq6ilKo7//RSNER/slqpEJnYzfa/nOdhL3RRwJDPXEsAuxthpAMcAbOM4bj2AlwE8xxi7DL4nboVw/AoAfsL4cwDmAQDHcbEA/gBwDsBmAE9yHNewuugJwgaFZXp0aeVpsySJqH/E8jm90Yg/HhuIR4eFo6WXs83jVSqG5febshmHrtgvMWwocByHvZeq10/8xIj2iussm9HD4ph2CzZaLVf8cNslC9VMe+y+mI4/ohNRWmGQHuxv5JXi9q8O1qjgxaRP9iFW6JH4+0SylG0zn4vIlO4t8f2svgD4YO58aj7e2nAegGUZ5NZzSgW2tPxSSdW2OlTYWT2XP+xoVQxtfPkMos6KQInKbKgmzG3/eWIQ9r88Ej/P7q8YzywsVwRz4kNTmd4geU4Wlhnw4VaTbcKnO+Iw9D2lMA8A7LiQbjEmIrddeH3duep9CIJopjTUnjkR8b5RUsPiWeLiUFG5AUVlemw6ewNdW3miUwsPPD0qokbfqyHjiJrlaY7jenIc153juG4cx70hjMdzHNeP47j2HMfdyXFcmTBeKmy3F/bHy671Nsdx7TiO68hx3Kba+1gEUXNsOJ2KwjI92vi41vdUCDtEBnsDANycNOgX5osFkzpX+pA7pnOQ1CAdl15o99iGwqK1sfh4e5xiLDzAsSZvsWcQ4HvmNOZRgcCmMzcU21Vd9c0qLMOs74/hpTWn8djPxzH0vV3gOA53fH0Qx6/l4KdDCVW6nj0SzKTy156yrN4Xe+ru7B2MWYPDEOLH/xzu+faIQkEyq6gc++Mybfro9X9nBx5YeaTac7UXCMpFe9x0GkkwQG56K3orHo43BdXdWpvKvm/rZaEp5jA9Q3wQbOMeF5dmygSKP0v5z62kXI/0/DKH3yvIU6dQoDVn/2XL7B1BELZp8Jk5I4cj8VnovGhzjS2cyu+nC/89i66Lt/DjJRXY/Mww3N47GADw9Kj2WHpbZI28Z0Ol+hrjBNEMuJFXiidXnQDAG1UTDZcnRrTDz7P7oW+o42afKhXDzueHw0mtwq9HruFAJQ+R8lXF2hbLsIW1OQ7v4LhY1GPDwgEAQR7OUKsYxnQOQs8Qb8wdHYF7+ocAAH49ojTXrko/xt5LGej91nZpe4+QRbyaWYQkQZjDXrnhzWKtTzI1rxSMAW9P57/Qw2UKZ8ev5SiOvW/FEYxetsfiGhsEU+2YpOpnFVPzSm3uk3v9uTqp0cKTz8zJLSRuNQuAEpZOxvqnh0rby2Yo/RSn96x+cKe4zpcHpdc/HrqGUR/sVvwbHo7PxubYG9ZOlej95jbp9ea5w/DJzJ744aG+mDOqveK4cH+3Bv9gShANjdq8p1YXuUDWjvNpuEvoyTZXYjYnv7TC5oKaHLG8HgDWxZisD8ztVp4f1xEz+4U4NOfGCgVzBGGH6Gv8CnjPEG/0CL55PzSi9nDWqjE0IsBhmX0RxhjKDUYk5ZTg3u9sZ10upxeg86LN+OdkElJyS9D+lY1Y8E/d+9RZ+8pWV6HMbv6kzvjwzh54787uAIDvHuyDf54YjGfHdsA70yMxoWsLyXBdRP5w/bygAmqLB1Zab4WWX7OmHju+2ycVfuCTmXwgY977mFlYhrT8Uvi56SRlU8aYFACfSuTFQm6TBT7WTNR3XbRdIugoeoMRuy6kWy01Kpc9+HAAXhzfEVN7tELPEG+seLAPurT0RJCn7bJhkVX/M5VJDgh3fGGjKsRnFkn9hgCkfkRzTlw3BcpZsvJXH6FvcUTHQDw9WlkK1T/ct1H1rxJEQ6AhLoDI72lye5ZPd8RZne+ltALsvpiOWz7bb7VM25wyvfWSzQcHtq3GbBs3FMwRzRZrD2zm/HL4GjydNfjzsYHQ2DDXJZoW8hJAUSUrq7AMY5btBQC8s/ECbuSXwsgBq45cV5Sg1TYHr2RaVd6UK3g6wu29g+HpbN33p1NLD2QWlit6uOT9GOYP344il5+vKYELsdetUwsPjOjAS/MXlhmw9lQy8oorkF5Qij5vbcfqY4lo4aXM2E02s2t4eEiYzfcp0xsUZYV3fn0Qka9tqXJ29kpGIR764RgetBLwLtloUncs1xvRsYUHPru7JzyctRjdOQgb5w51SHxpUDuTMbqfm20BIEeQB+4hvsoSzM92Xq70/PiMypUptWoVfp7dT9p2ddKguIGZ0hNEQ0dvNCIltwT/nEyqt6oRc8rs+GsuWnvWYmzcR3sx6/tjFqXztrDl3/ngoFCHzm9K0NMp0SxZczwJHRZuwsUbBTYfLMv0BhyOz0ZRuYECuSbOqE4mj65Fa2OlDMqID3Zj05lUJMjk0jMKynCbrOzsm73xqCvu+dZ65jC8Bo1RxezPpE/2Yb/QXG6opITnugNfvoXyYO4m5ify8prT0uvW3i5w0/GBzpvrz2Hu6lN4YtVxPLXKZEbdMUhpKWLeZ9ixhQdssfpoomL7WEIOCkr1SM4twZzfTiIm0TErALEv7miCpZBMoSwbpbaRXZYH2PteGlnp+/Vq6+PQvGzx9OgITOjKq8P5uDnh1KKx+EYmGgQA3lbUNkWWbDxvMWatJFj+ed2c1Cgq15OiJUFUAb2Rw6ClO/Hs7zHYfenmqwhqgj+PJ9rcJy+LBIDley1VkfUGI3ZeSLOZgbPlzVkTglCNDXpCJZolG07zN5LxH+/Fs79bl/E+eZ1/QJvTjBSRmisrZ/XF9ueGSdvtX9mEVUd5uf7/+/UEjggqjg8NDrU4d83xJHAch5Jyg1UlxdoizN8NV96ZhNWPDsCMPpZeZNWltTffqxWXXoj7VhzB1tgbFkpp5qWWh6/yPRD2HsDltgE1sXD8ezT/oKBRMXxwZw+LBZcDl7MU6pvmJYe9QkyBzvAOARZ9FnI+kCk1ypm5/DD+i0nBF7tsZ6nk5UTyh4/ohGybP68HB4ZaHRefUW7p0UohZmOOKC7iYyfQchRfd74k0tNZA29XJ/QMUfYOn3x1LAa395O2tz07DI8IWc6sonI8+lO04t/+s3t6WryH2JI5ulMgXJw04DggMdtx43OCaO7c+fUh6fWp61Xzmawt3tmo9CCV34MLzEqpzY8FgA1nUvHwD9EWi2kiYmZuwaRO0tjLEzpZPbapQ8Ec0SwJ9DD1nvx7KsViP8dxePb3U3DXaTDLygM80fRoJQQxIttksvTvbb4ID50GY7sEWT33yNVszPjmEHrJRB5qGvM+NgY+ozEg3K9GVyIHt/fHUyNNohSP/nwc0z7frzjmKTPRChVjOJ+aL6mJWUMsiQQAYw1mXW7r1VrqwZptp1SyrZ8yE6dSMUQvHIOfHu6H5Q8os039zER0bKk8iv8mp+xk5uTl3CWyYO6Orw/h6z2mrK7Ykzu2S5CktmnOuC4tMLZLEJ4ZY3+B6YM7eyBm8bga+b1wc+IznqIEuHl5LmMMPz/cHx46DXxctYgI8sAL4ztK+7eeS8PSTRfgrFXhsWHhVst7B4T7YvaQMCy5LVLKsA57fxcZiBOEHayJhDhpVMgvbVg9p+Ki0gd3mqxwHPkKWCs8m9kSQxEXx8Z3bYHdL4zAofmj8H8j2t3kbBsnFMwRzZLMwjK46zSSl1NhmR7rT6fg4R+OobTCgKScEqTmlWLWoFBJIpxo2rg6aTDLTq39M2M7oF+oLx4ebAoYRCW+ZVsv4YzMO+1cSj4u3nC8l+6PY4lYsf+q3WNe+y9WOVBLlSRqFcML4zvi+bEd0LklX5qYIqgwvnVrN/6tGcPRV0ZL53yz5woW/nvW4V6na1lFCJ23AS+ticGltAKEzttQpZ8XAHgIxta+sr6whZM74/Hhyi/zNr4u2P7ccPQLsxQD8XfXYViHAOg0fABxYN4oxCwah2BfZWA/tnOgdH1rpBfYluWXlwiZ/3zWxaSgwmBEekEp0gvKMKS9P759oI/Na7npNPj2gT4ID3C3eQzA96HV1H3LXFBIp1FZlIGqVAyHF4zGvpdHAeDFiO4bYFKPW3XkOioMnM3sp0atwqtTuiDQ0xn5MvPxtVYW2giC4J9ZzEVC/jc0DAHuOkV/cn0hr0JYPLUr1j01BME+rvhF8LFsI7vH2iqX3Cn4UlorOzcaOTz/ZwwA/n4T6u+Gll4uFsc1FyiYI5odeoMRJ67nYEznQLwwjl9BvngjHy+tOY2dF9Lx06EE7I3j5dRvseOFRDQ9XrulK+7uZypZ9HTWSK9v69kaGrUKi6Z2kcY6CH1W8h6o0HkbMOnTfRj/8V6771VcrseTv55AekEpXvrrNN5cf87mlxqAahuFV5enR0dg45whirF7+5se0AM9nJGwdDIAviTTESlpkbPJvMn3H9FJ2HiGl/zfIPzfUYZ35Huv5soEWRhjeH6csgT054f7S/5sldHa2wVerlrF8YnZxdh09gbcnNTwEH4f2vi6oEOQ8poFpRX4avcVPPJjtMLrTp6ZMy8dvJ5djKWbLqDf2zuQmleq6JtrKIiZNFHtkzGGE6+OtTjOTaeBu87099IxSNmDaDBycNZW/sghFzWoKT8qgmhqvLX+nGJ7/8sj8crkLnDXaZCWb9sCpa6Ql1a7OKkRKVQeDInwR4CHDt2DTeXahyuxKjCvMEjPL0X4go3StqtT5cJQTR1N5YcQRNPin5PJyCmuwPCOAVLmYfF/sdKqeUxiHnRaFQI9dIhw8CGQaDpMjmyF34Qa/X0vjQIHDt6uTlaP1apVeHJkO3yxy7J5GwB2XUjHSJm4CsAHcbnFFXhrwzlsPHNDEcRsOpuK6T2DFccfic/Ctaxihal0XcEYw7k3xiM+owgtvJytlu09Pao9Ptt5GekFZQjw0KG0wiCtDD87pgMeHRaOQ/GZ0KpVuH+FpYqjaIBeVcELxhjC/N3gYvZFrlWr0KWlJ86l8gGjq67qX/R92pqyePLV704tPOHjqsWcURG4U+hTnLuaF0BZ8M9Zqal/+/k09A/zQwsvZ8W/2/bzptJdgF9dl2dkLzdA4/oZfdogJbcEz4wxBcnyoM0WnVp6Wow5ki38vxHt4OKkxqErWdh/ORMRr2zEmscHkc8nQQiU6Q1YfczUR7bm8YFSKfjFtAJcTCvAltgbGC+IF9U3cuEmgC+x3HA6Fff2y8Sg9v5IyeWDzy3PDMOnO+MkT08R88Rcv3d2SK/njI6Ahw1l5uYEZeaIZkVmYRleFFTw2vq5ISLQHf7uOpxNzodGxRDq54oNZ1KRU1SOQE9ds1RFau5wgtbi4PZ+8HLV2gzkRG7rFWxz31OC4bx0bY7D2GV7cftXB9HKSknIs7/HWIzdv+IoXvrrtMW4vNyzNnF10qBbay/4u1uXuX9OJoZyb/8Q/PpIf4T7u+Hr+3ph7pgIuDipMapTEIZGmFQMoxeOUfi6AVXvozMaOZuqj/IsoYeu6l/0/cJ8JREROT3aeOPkonFSIAfwDyoJWcXYYmaaLfrSVSUIf2lCx8oPqmMCPHR4e3qkwozd1s9dTpSV4Eu+Gm8LN50GT45sj7h0vuy2wsBh2hcHUFze8LKWBFHXlJQb0HHhZmn7xfEd0UfW49tCUCM+nVS/Iihy4Se52BQAyaPy6d9OIi2/VOolbuHljKW3RSLMTJ3ZnofemM6BNvc1JyiYI5oVKTIRiZ5tvMEYQ2sf/qG6c0tPtA/kS4MOXMlS9OIQzQfxe4M50JSmYgztAtzx1/8NAgCM6KiUXR/Yzk+x/dG2S0jO5fsxxS+w4R0CFL1YoqH09axinLyegwqj9WDgvgENwxiVMYZFU7rg/gFt8b+h4ege7I2dL4zAhG4tLY4NFAICf3cdPrizB96e3k3aV1WFS73RCI2NoEIU4Hj39kiLzJ2jBPuYgu1V/+sv/RubE5PI90qa+1aKyqbmstqvTe2CTXOHwsWKZ9wDNlQsGyr2Mm1atQr/PDFI+jfvFeJdpeyaubH617utZ78JojlxKD5Tej2+axCeHKkUo/rvqcEAeMGi+lwA0Qt2Nu/f0d1CXEwkq6gc/d/ZgTeFklFnrQoezlrsemEEhkaY/DJXH0vEJZmfq5PGFLo48j3dHKBgjmhWpOXzK0J/Pj5QyroFCQ8b7QLc8Ma0rgD4B7P2lYgMEE0bR5KyI4XgrVeIN96e3g1vT4/Etw/0waH5o9CnrY9FI/q+y6Yv4l+P8NYHPz7cD48MDceKB3nhi+f/5K0yXvn3DKZ/edAh1a/65uEhYXjz1m5wq6T8bt3TQ/DTw7xBtErFcG9/U0BqLzOXmF1sYZZuMHJQ2fhHenBQKBKWTsZdfUOs7neEhweHoVtrTzw7pgMGtfNHbxuebSU2+hzf38LbGZgHefviMtG5pSc2zR2Krq08MaW7ZdDbGNg4Zyi2yew8rNEzxAev38LfU+OqWEJqbr0Qn0nKlgQhfqe4OqmtllEGSpm5PEz4eF+dzk1k2bZLUvm8Rm15j5b3ostxkgkk/Ty7v9SjnFdSoehB95YtIultLHY2NyiYI5oVYmNwiOxBQbw5RgZ7o6WXybLA3FSYaB6IfZLTzcoArSF6mzHGByatvV0wtksQWnq5wMfNCUeuZmPJpvMInbcBofM24OT1XPSS+XTJMxUDwvks3sYzNzDh472SFDwATDZ74G+sXjpBns4YZsU0GrAvVT30vV0Y+cFuxVhqXqlD5X7Vxc9dh/VPD8XcSmwAPp2p9E2Tq2aWlBssgjmD8EFD/d2wYc5QvHNbZA3NuG7p0spTYfFii26teeGDqirsLbktElO6t8SqR/qjV4g3corrzsORIBoqqYKy8Pbnhtss8R/TmbfQuS6Um68/nYLpXx6oMx/UT3fE4a8TSQAAtcoyzLC1MGbe1nLmtfEIFWxaOA64lFaARWvPKtSDPWwEhs0NCuaIZsGBy5n441gidglSt35upj6okZ34h8tberRS3EzkZVZE86GVtwsSlk622wt3a1Qri6Zscx4dFg4A+EbmJQYA7s5aXF0yCTGLx+H7WX2lcTedRsrOXZDJ9I/sGICB4aZyzYHhfk3KS0fMTDnZMe0WScgswqAlOxA6bwNiU/IVdhD1xZAIf+nhqXNLT3z3YB+p3Lbzos0WPXPm8vzuTvzDSFO1QGnj64pRnQLxycyoKp3XPdgbn9/TC4Pa+yPI01mqqmiKlFYYLMpxCeJaVpFFv5gYoPnY6eX+/J6e6CksGg5csgNPrTrJLyS+ua3KQlM3i7VS+M/v6eXw+fL757iP9uKnQ9cAAB/fFYWfZ/eTWmOaOxTMEU0ejuNw73dH8NJfp7FDCOY0sgeqR4aE48xr46QG/4WTO6N7sBeGtPe3ej2C+HhmT8QvmWz3mL6hlr5mAHBn72AwxuDlooWvm/ILeXTnIHxxTy+pfPO9O7rj+4f6KUo+q/pQ3NARM1OOqE7+czJZ8rwD+Ob/hoB47wjw0MHTWavohzPPzJkLv6hUDO/d0R0/PNQXTZWVs/piWlTlmW5bBHrokJBZZPGzFCkpN+DJX09IJu4Nna2xNzBoyQ5JCKLr4i0Y8u6uSs4imhP/nEzC8Pd3o92CjXjlnzMInbcBOUXl+DM6EaF+rnZ7gZ21aoT58ZVFqXlKm4IT1+tWGMVa9YS8HP/O3rYXTQFYqEGL+Lg5KUS1mjuUnySaPAVm3k1yXyqAf5iSS9s+MjQcjwwNr5O5EU2by29PxLf7riKytRcCPHRQq1DpSuLk7i0xoVsLHL2aLZWjyJu8xZ6IpoKYmbL1oC43E/9kR5xin3nzf33x4viOKKswSCWZCyZ1xqazvLrlmuN8udEvs/sju7gcEyMte+RmyNQxCUv83HXQGzl0WLgJUW28sWxGD4Vx+q6L6dhwJhWFZXr8KPRkNmQ+2HoRKXml6PPWdqhVDAYjh4yCMlzNLIKvm1OtZ2k5jsPqY4loF+COYwnZDebvqDmQUVAGb1etRYZeTlGZHi/+aVIwFvure765DQCQkFW5p+fd/UPw90mT3+XfTwzCbV8exO1fHcQPD/XFiI41pwK5+uh1OGvVuNVKa4JOYz9n5OKkxqPDwm2qb748oRNWCZ9fDnnLKaFgjmjypAt9cm9M6woPZw2m9aj+CjFBVAWNWlWtkki1iimUMJuyQ4ZKxeCiVVv0cyTnlmDw0p31NKuq4evmhGV3mTKmchuHzYJlQWsfFwyJoGx/dZBnsE8l5mLUh3twdckkqSw+Q+ih2XMpAxzH1aulDMdxOBSfhYHhflbnkVdSgUtpJjEYeRmdeV/ohTcnwNmK6ml1KK0wYPKn+9DSywX7ZUJMAPDI0DCk55dh98V03DegLVny1BJFZXoMXLIDt/RopbhfmLNy/1XojRyWzeiB00l5+OFggmL/xG6V+8f1DfXF5bcnQq1iKCjTw1O2YD3r+2M4+/p4h/wiK6PCYMS8v88AAG7t2VphFg4Ag21UOLXwdMaN/FLoNCosmNTZ6jEAX35+d78Q/HaUD+i6tPREal4JOgRReaUcKrMkmiTZReW4kVeKmMRcHLmaDQBoF+CO6T2DoapF0QSCqA3E39gZfeyXpDRWugd7YfNZpU/bFTvqh/7uTri6ZFJtT6vaOGstv1orW6EmbOPnZtkfFDZ/I5bvvYLX/ovF4v9iFeO1LcnOcRyKyqy/x38xKbjn2yNSRtacXw5fc/h9HvkxGvmlFSjXG5FXXIG84orKT7LBb0ev40pGkUUgB/Dfl4vWnsWra2MtVGOJmiO7qBx6I6fImOUVV+Bsch44jsM3e65g/Ed78eG2SwD4++L8SZ3w0oSOWDajBwDg59n98ImZ6JItNGoVGGOKQE5k3LI9N90/l5pXgjm/nVSMHY3Pll5HtvaymYH87dEBAGA1m2fOoild8OatvI3NxzOjcOLVsU22x7i6UGaOaJI8+/sp7LmUoRgz708iiMbC1B6tsOdSBp4f1zB6xGqaQE9nHLmajdB5GwAA594YD3eZStmwDgEYFuGPtzacBwBELxxbL/N0FGuZDScK5qqNj4179zsbL1gd77JoC7Y9OwwRtbR6v3TzBXyzJx6xr4+3sOPIL+EDrhPXcxTm8udS8nHXN4eq5LV3I78U3V/bqhg7MG8UWtvw7RKJzyjEqA/34Jv7e0vy9a+vO2fz1HFDJAAAIABJREFU+L+OJ0n9hk+tOomNc4c6PEfCNhzH4cT1XKw5noi3bo3Et/viLY55fV0s/j6ZDB9XLXJkwfq2Z4dJJflPjODLYKdFtb4pBd9/nhiEnw9fw98n+N7jxf/F4o1p3So/0Qbz/z6D3RdNz1lGI4dL6XxZ/Ff39kL/cD9bpyLM3w0JS+33nYu4OKlx/4C2mNEnGDoNlVdag75diCaJeSAHWF/dJYjGgJtOg6/u642gJtYvJyK3awCArMJyHJBZM3x9Xy88MjQcU3u0wigbDfENjadHKfuQKDNXfULMPOcc4Y6vD9XCTHhEhdrEHMveJT+hxDYlVyk88dOhBBSU6aXM2BIHLCkuW8lORydkI7uoHF/tvmKhdCgy6sM9AIAPt/Jeh5UJw+SX6qXSz3Op+TDauC5RNVbsv4rbvzqI344m4qvdlyUlRgAInbcBBy9nYsOZVABQBHIArC5E3KwVS88QHyybEYVXhLLGnw5dw3ubL2DaFwewYv9VpDggIJSSW4Id59MAWNrJhC/YiPc2879zEyNb1vgCOgVytqFvF6JJ8cexRGl13xxvO1K+BEHUH3f3U5p7/3MyWSo1AgBXQSTls7t7YuWsxqH6+MDAUMU2ZeaqTytvF5x5bVyVzskrqX5JYmWID9XPrD6FN9adQ2K2KajTC4HQDZmK4N5LGVh9LFFxDXmAev+AtnjCwd7auatPodeb2/Du5gs4cjULAHA9qxiX0wvwX0wK9soWMkVvv7uXH7Z7zeV7lRmjtIJSG0cSVWGZ7B72wdZLFvvv+e6IhXXJw4PDsGHOkFqd1/+GheOv/xsEAPhy9xXEJObizfXnMNPG70l6QSnWxaSgXG/EoKU7MfvHaJRWGFBhIMPuhkKl3y6MsTaMsV2MsXOMsVjG2Fxh/DXGWDJj7JTw3yTZOfMZY5cZYxcZY+Nl4xOEscuMsXm185GI5sxLf522GPvf0DAcWTCaHqYIooFiLvKQkGXq23lzWte6nk6NEOChw2d3m3pbHPHRI2zj4azFgkmd8MGdPRTZWa2aYdGULrj01kQkLJ2MhwaHSvtupsfMFqHzNkgZsQs3CrDywFUMfW8X9sdlInTeBqmHKDWPz3JUGIx4YOVRi+u08DJl2Qe398NLEzrh5Kt8+bCjCZhfDl9DSbkBw97fhTHL9mLObycV75VdVI6conLJm0xk30sj7b7H+dR8i7G4tALc+sUB5NSR8XRDx2jk8NSqEwidtwFbY29YPUb0WGsfyCuvhvu7WT1utPD7/Nat3bBoahd0beVVCzNW0rutD4aaCTIZjBwupxeipNzkeag3GPHAiqN4+reTSJcF+Yfis3DwSpbVay+cbFvQhKgdHOmZ0wN4nuO4E4wxDwDHGWPbhH0fcRz3gfxgxlgXADMBdAXQCsB2xlgHYfcXAMYCSAJwjDH2H8dxtgu5CeIm8HTWIL9UL5nOEgTRODifarIj6CXYMzRGRGuJIE8dKQTWAI8O47NXU3u0xLGrOdh+Pg3Te7ZW9KHJS796vLEVH98V5ZDIgiMcv5Zjc999K44otvNL9UjKKbYqqw7wan4m+N8NHzcnqY/IvMLERatGSYXSWHzjmRsoLj9uc05leqMkZy8S4KFDG19XtPVzw9XMIrQPdJfKOXu39cHxazl4+IdozBoUitduMS2kjP1oLwDgt2PXpR6u5sqJ6zm47cuD0vbamBQ8+vNxPDIkDAundMGR+CyE+rshv1SPe/uH4K1buyE2JR9dW3miwsDBSaNCud6ILbE34O2qRYivKwI9nXFLVKs6/Ryzh4RhX1wmVjzYB1/uvoLj13IwZhlforv+6SGY8tl+xfHpgmosADz0/THFvv8b0Q5f7b4CgM8uEnVLpUuFHMelchx3QnhdAOA8AHt3xmkAVnMcV8Zx3FUAlwH0E/67zHFcPMdx5QBWC8cSRI0gVzDr2soTnVp6AgBca0jamSCI2uPBgW2l1/LMQGViDw0ZP3e+tJsebmoWnUaNIRH+eO2WrhaCIuZla9bUG6sDx3G4/auDlR8o48DlTFzJsK7KKhdOsZYlG9slSHp9e69gnHtjvOVBgEKAojI+uqsHDs0bJbyOwrSoVvjgzh7S/seHm0o9fziYgMVrzzp87ebEn9HKktkNp/m+t+/2X8W+uAzctfww+r+zAwDQL8wXjDF0a+0FxphUIeSkUWFqj1YYGhGAtn5uWHJbpFXVydpkRMdAxL09EaM7B8H8V9A8kAOgKCeWE//OJDwyhL/HjekcSIrh9UCV6j4YY6EAegIQl6CeYoydZoytZIyJy6etAch/05OEMVvjBFEjiA+Afdr6YMWDffH+Hd1xW6/WiApxXD2MIIj6YVTnIIuxN2/t1qh7XXUaNRKWTsZjw6vuNUhUj4hAd8W2pgYeLK9nFSNs/kbFmD3TYrG8tsLAWRUx+fwefr+YnbOWtX339u54Y1pXfHhnD3w4o0eNZHan9wyGRij3jWrjjU9m9kRUG2/sfXEkXpvaRRFAAsCPh64hLq3A2qWaNUk5fAntyI4BFvvuX6EsqfVp4Pcv0Trgwg3+39lcuEneyzl39Smr11CpGPzcdUhYOhnfPdg4epqbGg4Hc4wxdwB/AXiG47h8AF8BaAcgCkAqgA9rYkKMsUcZY9GMseiMDMdXnAhi14UMaFQMK2b1RQsvZ7T1c8OyGVGkgEQQjYDhHQKw64UR0kPyl/f2wv0D2lZyFkEomTUoFI8ND5e2zTN11WHY+7ssxjbNHYp7+oegW2tPi319Q30BAAv/PYsrGXz/54JJneCiVSPIU4cp3ZXldNbCNF83JzwwMBS39zZ5S84eYsrwetgwfPYULD36VKE8OcTPFbOE7PG8iZ0U+8TySpGbtCZr9OQWl2OfoLT7/UP98OfjAy2OmS4r69WoG0eWqlDwTezd1gcthX7OVyZ1xovjO1r01onoNCpM6d6yzuZI2MYhnznGmBZ8IPcrx3F/AwDHcWmy/d8CWC9sJgNoIzs9WBiDnXEJjuOWA1gOAH369Gnmtw2iKiTmFKO1jwuZSRJEIyXM3w0b5wzFprM3MLFbi/qeDtEIUakYeoWYAhlb4hTVRatmWDmrL9r6ueGd6ZFY+O8ZnE3mq0Jm9AnG29MjoVExMKYMfB4d1g4PDgoFk4VuHPgDHE26iWb09/YPwUODQzFm2V6LY1b9bwA6tvDA17uvIFrW4/fUSMf63MRAlLDOyv1XAZjKwq39vD64swdmDQrFC3/GILJ17YuZ1CTOWjWW398H/55Kxoy+bcAYw8+z++ORH6OxXbAkmDM6Av3DfDGonR/1AjcQHFGzZABWADjPcdwy2bg8HJ8OQCyu/g/ATMaYjjEWBiACwFEAxwBEMMbCGGNO4EVS/quZj0EQQFp+KQI9dPU9DYIgboJQfzf834h29JBAVBt571FRucHOkZXz86EExXbc25MwNMJUXtc/jDdG/u6BPnjvjh7QqlVgjMHdyXKtXKdRW1VVdvRX/fHh7XB3vxAsmNQZbf1Myog+rqbP27WVJ7RqFe4zy2p7uzq2yNkrxBtrnxwsBSu0OKokS1DzXDzVJA7zw0Om0sLnx3aAWsXQo403tj03HB513Ad3s6hVDJHBXnh1ShfFv/23D/SWXrfxccHg9v50j25AOJKZGwzgfgBnGGNiwewCAHczxqIAcAASADwGABzHxTLG/gBwDrwS5pMcxxkAgDH2FIAtANQAVnIcF1uDn4Vo5qTnl6FzK8uSF4IgCKL5EBGk7JsrrTBY2F/sj8vEtnM3MLCdP04m5mBGnzZoF6A8DwDWxaTafa8p3Vsiqo03gn2UQj2uOjUKhNK1ykzPmdVCS0s8nLUKs/GP74rCM7+fQkmFAT8+3A9qxqQHbB83J8zs20byt9M7aATOGB+I9GjjjUPxWQj3t/yZNHZ2XUxHhyCPaokr/Sqok8pFPkZ0DMTBeaMQ6KGTehIbKyobARpjDNueHYalmy5gWhTJXTQ0Kg3mOI7bD+sl3RutjInnvA3gbSvjG+2dRxA3Q1p+KUZ0DKz8QIIgCKLJYi468fJfp/HJTJPnX3xGIV74MwY38kvx46FrAHiTb/kxAO+7dTQhW9r+9oE+Fu/FGEMbK8FaWj4v494/zNem0b1YhlndBMfg9nwvU4ivK4Z3sBTjkAewd/cLqfL1dRo1SvXKzCbXyJvmvt0bj7c3ngcAvDi+IyZ0a2E1iD+VmItbvziAVf/rjzXHkxDm54bZQ22r0rZqxKq7ctR2BIMigjywwsbvMlG/ONQzRxANncIyPf6/vfuOj6pK/zj+eRICSSChd0KT3pGOICIoCPa+rmVdt9nXvqvuj2V1lXV37d21rHXF1V3rKkWUJkhRQEB676GFhJB6fn/cm0lCAiSZJDOTfN+vFy8md+7cOTNPJneee855TlpmDk0TNcxSRKQ6O/oL6Yffb+fxy/oEeq1O//vXRR4zZfkuMrJzChXMmr+h8KLIxQ2RLElbah+jWEleWlTW4WqN6tTkttGdGNmlaCIHBJLMCed0K9NwyaaJtZi2cjfrCyyvEMm5XHJqRiCRA/jrF6uYvHALX981ssi+5z8zB4ArXspfPzAvsT2tmCqWVUW0hk5GpMjuDxYBdhxMp8eELwCKvcImIiLVW2pGNrm5jtxjDDdMz8ph0v9+LLTtvv8Ev87a8YY3BnrmynhsM+PW0R3p1ar45XeuHtKG/zu7W5l65QD2H84C4Ka3vyty3xvfbOTcp2eTlpFd5L7KtOdQBjkF3uNtB9KZsnwnu1OOsKBAryrAtBVeAY+ClT437T3MP2atB2BjchqLNu1j1c7il2N4Zoa3KParVbh3KkpZQURSz5xEvMkLtgZuDzmpYQhbIiIi4WjYX2ZwMD2LM7sVXc8wzzZ//TCAzOxcNiSnBf282TknXhqhojpDYqKj+PmwYw8NPJGGtb3hqiv8NVwB/j51Nef0bsEfPvRKHsxem8yY7s3YkJzGhc/O8SsdNqRbOc5f/3TpDv42ZRWf3Dws0Ms5bcUuXp+3iZmr9/DL4e24b3w3/vbFKp6esbbQY+f+7nRa1Itj58EjPPXlWurGxfDur4dw0r35M34e/NTrrXtp1np2pWQwpL33PeKZK07mxrcX8/yV/fjNm4sC+1flwh/HG2Yp4Us5uES8rfsPA/DqtQOOOZxFRESqj35+78szV5wMwMF0r5dpyopdhfYrmNwVXBNs877DgdvtGtWmtF6+xptfd3kJesVKWgClsh1rwevT/vZV4PYdk5eQlZPLVS/PZ//hLCZ+vIJxT85iS4H3L1g3vr2YDclpdPdH4OxLy+QXry9k5mpvLeKXZm3AOVckkQMYOulL5q5NZvDD09l2IJ1uzROJjjJm3zOSnwzMXy3rwU9XBuY5frN+LyM6NWZcz2ZsnDSesT2aMf/eUVzWP4n3ry+6rlxVomGWkUnJnES8jXvTGNi2ASNV/ERERPCKlTx9RV/O7H7snjiAF6/uHxg2l5dUpWVkszc1I7DP0ZUqS2JU16ZsnDSeS/snHWcvb3hguHaGFFx8/VhSM7IZ+OdpbC3Qqwkw/JEZtP3dp3yweOsxHlkymUct+n7xc3M5+YGpRfb7/QfLgOKXUrjiH/nz3iae5y0p0Kp+PA9f2IsND48r9nkv6d+qUA9c08RY/nJxL/q1qdrr8EWF6y+jHJeSOYloW/YdZsHG/WW6cioiIlVTg9o1ObtXC2KOUyp+7u9OB2BkF+9C4KfLdrD9QDp9/jSFx6atrvA2BoqJhOn35/aN63Bxv1Yn3C9vbl1xbp+8BIBHPv+Ryf4yCaUxZ21yoZ8LLoT+3xtP4YMbhgIElmB4tcCab1/fdVqhntf/3DCUTk0TCh3PzFh0/+jAz20axtOjZWK1rYytnrnIpDFpEtE+W+atATS0g+bKiYhIUXEx0aRn5fCn87rTtmFtZqzazbVD2xVbTv6dbzeTleOYt94rnvHmdYN4YaZX+KK8y/Ln53Lh+wW6VoEKnkkN4tiyL/04exfv5dkbePYr7z28dMDxeiqLmrfeqyg66+6RDH9kRmD7DaedRJ+kehzOzKZ+fAz7D2dx15jOnNy6PjecdhJtGsbTpmHtQvMR+7auf/ThAWhYpxZL/3gma3alBobnVleaMxeZlMxJRNt+IJ2EWjW0iKWIiBTron4teXPeZi7tn0RsTDSnFrMmW5435m0q9HNlfLkP586Q+Jr5SzW8/YvBrNuTigP2pWby8P9+JLnAcNRjeeCTFaV+3vnr93LZi/MCPyc1iOfbe0fx5vzN/GZEe+Jr1vDbV4OPbhrGvrRMeid5VT3vHtsl8Lhze7fki+W7mHb7iOM+X2JsTLVP5EDDLCOVkjmJaNsPHqF5vdhQN0NERMLUH8/pzm2jOxVaRPtoF/drxb8XbeXAUUMGY2Pye6bKu4phXk9fOH99vu2MTuw5lMFdY7vQsl5coQXSB5/UkPTMHEY/6q3bN+Gcbkz82EvcGtauyd60zCLHW7v7EB2aJBTZfrTnv14XuH3NkDYANEmM5fYzOhXZN6lBfLELtwOM79WccT3HVekKlOVJwywjk+bMSUTbcTC92KEyIiIiADWio2hYp9Zx95l4bndaFnMuKZgEVNQwy3DuDYmvWYPHL+9b7HvTsl4cHZrkr+3600Ft6NmyLn+7pDeL/nAGd43pXOQxG5JPXOVy6/7DzFjlVar8+q7TmHhejyBeQdVeSqC8aZ25yKSwScRKzchmw540mtdVMiciImVXu1aNIsU+WtStnFEfkZ5q/PGcbrx0dX9q1oji45uHBd7HxGIqS77+zUayc3JZs+sQ45+cxfdbDhTZ56Ml2wG4sG9L2jRUcbPKpJ65yKRhlhKxnpq+hrTMHM7u1TzUTRERkQh36YAkVu5I4a8X92ZP6pEiQ/fKf5hl3nHL9bCV7menFL8w+fiezfnDf38otG3WmmQuem4uS7YeBOD8Z+awcdL4wP33/WcZb83fTHSU8fdLe1dco6VYUZH+y1hNKZmTiPTd5v28MHM9jerUYkh7VbIUEZHgtKwXx4tXe4t9140v2qtUcarmF+gGtWuy4eFx7DmUQcM6tTjp3s8AAolcntSMbGrXjObKl+czZ61XvbJtw3gNjwyBcB7yK8emZE5KxTkX0j+wKUeyWLE9hSnLdwHw2rUD9MdHREQiTqAAShU+hZkZTRK94apXDW5TpFooQI8JX9AkoRa7D+VXxvzJwNaV1kbJp6UJIlPEJXNHsnKoVSNKV2xC4PFpq3n2q3WsmDiGGsdZiLUi3f3eUj5fvhPw1rzp0bJuSNohIiISjEABlGryfeaB83uwM+UIU1fsKnJfwUTuk5uH6dweIpozF5kipgDKjB93s2J7Cl3+8DmPfLEq1M2pNLm5ji37DrNl34krQFWknFzH49PWkJmdy4SPlrNs68Fyr+xVEmv3pAZuP3ppn0p/fhERkfJUnb4+Tzy3OwB/OLsb//rV4CL3//jAWCVyIaRqlpEpIsLmnOPa1xYw7slZADz31boTPKLq+HjpdoY/MoPhj8xg7e5DIWvHO99uDtx+a/5mznl6Nv9etLXS29G8QHWxAW0bVPrzi4iIlIsqUgClNFrUi2Ptn8/iumHtGNy+IZ2a5i9tcP/4rsddC1AqnnrmIlNEJHN7CnS/5wlFr1AobNqb3yM3+tGZ7E45Uuj+7Jxc5q3fy2tzNhR5Tw6mZ/HW/E3l8l7d71ekumpwm8C26St3B33c0tiflsm89Xs5tVNjPrhhaKU+t4iISEWwatU3R6FpGm9cNyhw+4pBmicXapozF5nCes5crnNk5eSyyR9i+Mvh7Zi8cCsH07NYtesQXZolhriFFSsjO4dHp64utG3gQ9O5fEASD57fgxrRUZz3zByWb08BYFyv5jRJ8HqunHP0njgFgNfnbuLKIW3o1KQOg0pR+fFgehYp6Vm8OHN9YNt947tyft8WPDF9LZ8v38nqXYfo1DSh2Mc753CufKojLd9+kI+WbCcrx3HV4Dac3Lp+0McUEREJlbzLrNW5M6RpYiw/P6Ud+w9nEl8zrL+SVmlv/2IQHy/doXoUESqsPznLt6dww1uLqRkdRUy0cd2w9ozu2pTLXpzH2Mdn8e19owLJS6ikZWSzZncqfZLqlfux8yo2Hu1fC7bQq1U9LhuQFEjkALbsSycuJpprXvm20Lovq3YdCqz1suHhcSX6sB44nMngh6dzJCs3sO30Lk2IjYmmX5sGDGrXgJmr93DRs3PJznWc2b0pj1/Wp9Cx73l/KZ8t28mSCWcGfbXnmle+JTk1E4DGCbWCOpaIiEioVYdqliXxf+d0C3UTqr2hHRoxtEOjUDdDyijsh1lOXbGLT5ft4JL+STSrG8ug9g3p38brlRn3xOyQtu3A4Uy6T/iC85+Zw5GsnHI//obkNAA6NqnDxknjGdO9aeC+e/+zjJvfWQzAdcO8xO1/y3bwyuyNLN58gFve+a7YY6aXsJ0/bEsplMgB3H5Gp8DtG0d2oFvzRA5lZJOelcOH32/ng8XbAG/5gHe+3czkhVtJzcgOVK7afajwENGSOpyZHUjkALo0K74nUEREpLxVdLXJ6jbMUkTKV9gnc3nO6dUicPvusV0ASE7NICO7/JOoknrqy7WB2zsPli1ROZ7N+w7TNLEWU28fAcDlAwqPJ/9smVei/7w+3nvzj9kbeGxa4WGZs+4eyfqHxnFxv1aBY5bEok37AVhw3+jAtqT68YX2eeGqfoHbCbE1uOO9JWzdf5jT/voVv/9gWeC+pVsPcOGzcxj45+m8/s3GEj1/QV+v2hO4/fNT2mmCtIiIVJpJF/Xkp4Nac8pJJZ+mUBIaZiki5eGEyZyZJZnZDDNbYWbLzexWf3sDM5tqZmv8/+v7283MnjSztWa21MxOLnCsa/z915jZNSd67o5N8qscDW6fX7lwYLsGgUTi568tIDsnt8hjK0J6Zg5nPzWLR6es4n/LdvDPuRsD932ydDu/en0h6Znll1xu3neY1g3yE6iRXZrw6S3DWPfQuMC2pAZx9GpVj5o1ioYyJtpomhhLVJRx95jOAHz544mLlmxITuP5r9fRpmE8jRNq8buzvOQ5Ma7wqNykBvF8/tvh/PjAWP5yUS8Ahv1lBvvSvF60e8d1oXndWJ79ah2LNx8A4H2/966knHM8+OlKwFt7RsMxRESkMjWvG8efL+hZYeurKpkTkWCUZM5cNnCHc26xmSUAi8xsKvAzYLpzbpKZ/Q74HXAPcBbQ0f83CHgOGGRmDYAJQH+8C1KLzOwj59z+Yz1xbEw0N53VhXN7tygyz+uMrk25+fQOPPXlWm56+zueL9BLVFE27k3jh20p/LAtf55aXhv+NsXrEftq1W7O6tk86Ofan5bJiu0pjO3RrND27i289VfuG9eV1IxsrhnaFoCVfxrLMzPW8ujU1bSoG8use04nOzc3kOQ1SYwlIbYGP+44RE6uK3YOW2Z2Lj9/bQGz1yYD+cM3fzPiJH4z4qRi25lXhGZk5yaBbUkN4vj0luEkxsawZOtBPl26A4BL+7cqVAFz6dYDLNy4n/5t65OSnk10lHHgcCZdmifSrlFtAOas3cu2A+lMPLe71p4REZEqI6/QtIZZikgwTpjMOed2ADv824fMbCXQEjgPOM3f7Z/AV3jJ3HnA686b2TvPzOqZWXN/36nOuX0AfkI4FnjneM9/rCQiKsr47ehOLNy4n7nrknHOVXgVniVbDhTZdmqnxrzw9Xoy/d7BN+ZtolOzBL5atSeQDJXF3HV7Sc3I5hJ/eOTRfnlq+0I/R0cZt4zqyOUDksjIziU6yoiOKjwc8dCRbD5asp3+betz9ZC2he5zztHvwakcOpId2Da4FJUv42pGs3ziGOJiogtVr7xtdCfaNazNz05py+SFW9iblsnHS7ZzTu8W3P/fH1i69WCRYzWsXZOF949m6/50rnx5PgC9K6DAjIiISKg4f6ClqsGLSDBKNWbAzNoCfYH5QFM/0QPYCeRV52gJbCnwsK3+tmNtP/o5fmVmC81s4Z49e46+u5DoKGNcz2akHMmulDXP5qzbS4PaNZnzu9MD23q0qMvgAuPo567by9jHZ/LAJys4ZdKXDH/kS+av31vq59pxMB2AzqUs9tEkMZakBvHH3efrVXtYvyeVCR/+wNNfrmHt7lSuevnbQCI3tnszpt8x4phLDhxL7Vo1iixD0KFJHe4c05lGdWoxolNjAJ6YvgbnXKE19Aram5ZJu99/xvBHZgDwq1Pb07uVeuVERKTqcNVw0XARKX8lXprAzOoA7wO/dc6lFOwFc845MyuXVbydcy8CLwL079//hMcc1tFLEP69aCujuzUtdN/nP+wgLSOHLs0TaFkvjnrxNYNq2zp/CYKW9eJ447qBGEZczWj+clFP3lu4laQGcdz27hKycrxmbzvgJWTvLtxSqvXdAHalHKFWjSjqxsUE1eaCereqy5KtB9l2IJ3b3v2eJX6v2GtzN5Gc6i3M/vI1/RnVtenxDlNm3VvU5dcj2vPK7A08M2MtB9OzOKtHM3q0rEvHJnV4d8EWLunfit+8uTjwmJtGduBOf76fiIhI1aNsTkTKrkTJnJnF4CVybznnPvA37zKz5s65Hf4wyryusW1AUoGHt/K3bSN/WGbe9q/K3nRPu0a1Gdy+AZ8v38ntk7+nb+v6XDW4DUChpADgoQt6csWg1jjnWL49pVRzsFbuSGHFjpTAcL/hfhIJ3uToW0Z1JDsnl9veXVLksUeycsjJddz53hL6tanPlX77jmdD8mGa140t16GjL13TnzvfW8rM1YV7PPMSOYCeFdwD1r5RbbJyXGCO4ROX9w3M6zuzuzc/8NmfnkybhvHUjYuhVf3j9zKKiIhEMvXMiUgwSlLN0oCXgZXOuUcL3PURkFeR8hrgwwLbr/arWg4GDvrDMb8AzjSz+n7lyzP9bUG78GRvXtkHi7cFFscurqrNjCY1AAASSklEQVTkm/M2sWrnIf69aCtnPzWb6SuLX5S7OGc9MQsoXGHzaDWio5h510he+Vl/1j00jvUPjWNA2/rsS8vkXws285/vtnH/f39g5Y6UYx5j+4F0rnnlW6at3EX/tg2OuV9ZNEmI5ebTOwR+fu3aAQwrsEjkkglnVvgi7APb5fdQPnxhz2KrcI7r2ZzuLeoqkRMRkSorsDRBSFshIpGuJD1zpwBXAcvM7Ht/273AJGCymV0HbAIu9e/7DBgHrAUOA9cCOOf2mdkDwAJ/vz/lFUMJ1qX9k5iyfBfT/ORsf1omaZne/K+HLuhJn6R63PneElbsSGHM4zMDj1u/J41RXQsfa/Hm/bSqF0eTxPykxrn80Z6ndmrM8bRuGE/rhvlJSP34mmxITmPBhvyX+vkPO+naPLHYxw+d9GXg9q2jOh73ucpiQNsGTLt9BG0bxlMjOoo+SfW4+PlvuKBvy3Id0nks7RrV5u1fDiIrxwXm0ImIiFRXFV28TUSqtpJUs5zNsS8cjSpmfwfceIxjvQK8UpoGltTjl/fhxZnreXL6Gvo+MDVQSbJ53Vi6tUjksgFJTPhoeaHH5PhJ2sKN+5i8cAsjOzfh+re8oZkF544dOJwFeMsBdDhOz1xxujZPZMqKXazZnUr3FolkZOeyZGvRqpjFOVEhk7Iq+Brqxddkmr8oeWUZelKjE+8kIiJSlfnXiVXNUkSCUeICKOGuTq0a/HZUR56cvgaAl2dvAPLngF09pA1dmiWQk+uYt2EfT05fw6T//cjLszew55A3Z2zywq2B4723cGsgmVu50xsW2bFp6RI5gMsGJPGE36bk1AzO79OSF2etZ9GmffRrU3gY5aEjXtI4umsTbh3VqdTPJSIiIpEhb2kCrTMnIsEo1dIE4e7osvjdWyTSqE4twBvGMKh9Q4Z2aMTtZ3QKFEnJS+TyDGhbn1M7NebbjfvI9teOm/GjV9ulb1L9UrepRb043r9+CABn9WjOLaM6Ui8uhrfmbS6y77o9aYA3bLSiC5GIiIhI6GmUpYgEo8r0zOXZOGk84PVyFVdcI8//ndONa09pS+1aNahdqwa9J04hJ9dx2xmd2HnwCDNX72Hywq2kZ+Xw0iyvl69ufNnmlPVr04DlE8dQq0YUNaKjGHJSQz5fvpM7DqTTsl5cYL91u1MBSj2UU0RERCKLK5cFnUSkuqtyyVyehNjjJ14x0VG0b5yfNM244zRW7zrE0JMa4Zzj9x8s471FW/huc8nmt51I7Vr5b/X1Izrw2bKdLNlygH/MWk9sTDT3jO3C5n2HMUNVHEVERKoJ9cyJSDCqbDJXWgWrUJoZfZLqMb9ABcryrCzZop5XKXPZtoO8OmcjAF/8sJMeLevSNCH2uD2KIiIiEvnyOuailM2JSBCUzB3Dn87rEVjGYP1D44rMxwtG/fiaADz31brAtvXJaaxPTiu07puIiIhUTXnLHimXE5FgqAvoGDo3S+CXw9txQd+W5ZrIgVeo5eTW9QI/L/3jmYHbKnwiIiJS9eUvGq5sTkTKTj1zx3Hf+G4Vdux3fz2E4X+ZwV1jOpMYG8O020/lg8Xb+NnQthX2nCIiIhJe1DMnIsFQMhciMdFRzLs3f831Dk0SuHtslxC2SERERCqbcjkRCYaGWYqIiIhUsrylCUxdcyISBCVzIiIiIiGiXE5EgqFkTkRERCRElMuJSDCUzImIiIiEiIZZikgwlMyJiIiIhIhSOREJhpI5ERERkRCJUs+ciARByZyIiIhIJWvbMB6AKH0TE5EgaJ05ERERkUo2+ddD+Hr1HhJiY0LdFBGJYLoeJCIiIlLJmiTGckn/pFA3Q0QinJI5ERERERGRCKRkTkREREREJAIpmRMREREREYlASuZEREREREQikDnnQt2GYzKzPcCmIA7RCEgup+ZIcBSL8KFYhA/FInwoFuFDsQgPikP4UCzCR6hi0cY517i4O8I6mQuWmS10zvUPdTtEsQgnikX4UCzCh2IRPhSL8KA4hA/FInyEYyw0zFJERERERCQCKZkTERERERGJQFU9mXsx1A2QAMUifCgW4UOxCB+KRfhQLMKD4hA+FIvwEXaxqNJz5kRERERERKqqqt4zJyIiIiIiUiUpmRMREREREYlASuZEREREREQiUJVJ5szMQt0G8SgWoWdm8f7/ikWImdlJoW6DeMwsJtRtEI+ZRfv/629UCOn9Dx9mVtf/v8p8N49UZtbdzGJD3Y6SithfGDMbZmbPmdkNAE6VXELGzAaa2eNm9gszi1IsQsPMosysgZlNAe4CfS5CycxONrOZwCQzSwx1e6ozMxtsZv8C/mpmPULdnurMzE4xs38C95tZA/2NCg3/vP0ScI+ZNQ51e6or/7ydaGafAE8COOdyQ9ysasvMepnZbOBBoGGo21NSEZnMmdnJwHPAImCcmT1mZn1C3Kxqx8xizOxR4AXgR+BK4O/+fbraV8n8E0A2UBdob2ajQbEIBTOriXcyeNc5d4lzLsXfrlhUMjO7BO988QkQC9zub1csKpmZtQeeBWYAbYAHzGx8aFtVvZhZtJk9jFdefQ5wMjDBzJqGtmXVk3/ePgTEAC3N7DJQ71wI3Q/82zl3gXNuG0TGuSJSf1kGAgucc/8AfgEcxkvqGoW2WdVOArAdGO+cex64FjhbV1tDqhuwC5gFnGNmcYpFSJwM7HXOPQNgZkPMrJZiERIdgY+dc28Cj4F3IUqxCIl+wErn3GvAHcD3eOeMpJC2qnqJAjYDl/px+C0wGIgLZaOquS5AMvA48FMzS3DO5UZCElFV+D2k7YFU59zj/rYzzKweEPZDwiMimTOzS83sdjMb6m9aDNQxs2bOuZ3Al0BjYFjIGllN+LG4w8wGOuf2AW8557b7X1Q3AMvxYhO2v/RVRYHPxeACmzcBPwCrgVxgrJk1C0kDq5ECsRjib9oEdDazc8xsKjABeMnMfhK6VlYPxcRiFXChmd0NfAO0AJ4xs/4ha2Q14Q9v7VRg0wKglZklOef24/UMHQAuDEkDq4mj4pALvOOcW+2ft7cDWwFdDK8EBWNR4HvSWiAT2OD/u8bMWuuCU8UqGAu/hzQZGG5m483sv8CdeENfw37aSlgnc/5wgP8D7vE3vWBm5wBpwEZghL/9a7wTQiv/cUokytlRsXDAy2Z2vnNuB4BzLsPMWgDtgZRw/qWPdMV8Ll4ys7wvQ32AeOfcTLzPxFPAg2ZWQ5+L8ldMLF40s4uAPcDHeEP6JjnnxuINLTvdzLqEprVV2zE+F+cCHwC3AqcCV/ux2ANcrAsdFcPM6pnZp8BU4FIzq+PfdQSYDVzq/7wKWAE0sAgqNhApiouDcy7HOXcAAuftBKAd3igbqSDFxKJ2ge9J/fG+Ny3HuyA+AXjOn8oS1t/TI1FxsQDwp0O8CjwAvOKcGwP8Axh81EXzsBPWvyTOuRygM3CHc+5RYCJwE1AD7w9PHzPr5pzLxjspXOA/TolEOSsmFhOAW8ysa4HdRgLznXMHzKy2hr1WjOPEohPe5yLNzF7FG/a6GljqnMvW56L8FROLPwLX4w2bWQJ0x5unBd4IggS8i1FSzo7xubgN6OScm46XSKzyd/8Q6IViUVFqA18AN/u3T/W37wHmAT390R05wDbgFOfckZC0tGo7Og7Di9lnELDcH2FTx8w6VmYDq5FjfSbAG/aaYGbvAnfj1YNY7ZzLUjGUCnG8WHwCtAXq+z8vxJu6klGJ7Su1sEvmzOxqMxvhj1MF702sb2Y1nHP/BtYBZ+B9MTqCV2QAoCWwwMxqVHqjq6gTxOIDvCuql1l+ue8E4Dsz+znwHd7VJikHJYjFcuB8vOHGY4AUoDfwV6CvmbWt/FZXTSeIxft4CfS5eD0QjwC3+ldXzwAa4P3dknJQglgsB37i98CtAy729+uL4lCuCsQi0S8c8CIwGe99HmhmLf3k7Ru888Njfo9dd2Cz+cupSHBOEIdB/ggaCnxXqgdsMbNr8YbBqphcOSlpLPASh8bATry/TdfjDdPvWtxxpfRKEIuWAM65pXjDKm/yOySuBHoAe0PU9BKxcLhY7w//aga8jTeeex1etvxr4Ba8nrgn/R6fLsC/gDHOuV1m9grQFGgC/MQ5tzYUr6GqKGUsOuN9GMY653aY2ZfAKXjx+bv/oZAyKmUsuvr7nQlkFKie2BzIds7tCcFLqDLK8DfqXfI/Fw/jzdNKAm50zq0MxWuoKsp4vjgDryfuRrxYpAI3Oed+rPxXUHUcJxa3OueS/X1OwRtWudA590aBxz6KNzWiDd7w11VImZQyDgv8YkB5j30D+CnwT+AxnbeDU9bPhJk1KnB/HaCmX5dAyijIv0+3400b6gjc5pxbUcnNL5WQ98yZWbQ//CsB2OacG4V3VSIFb+Lhs8BQoJeZxfsn39XAFf4hfg38zDk3QIlccMoQi1V4SxJc5h/iY+Ay59w1OiEEpwyxWAmsAa5wzqWYV5kpyjm3Q4lccMr4N+pHIK/Yyb14SdzpSuSCU8ZYrAEu8YdaXg380jk3WolccI4Ti314V70BcM7NwZvj3tnM6vpztMC7+n2dc26QErmyK0Mcupi3rlnePMZP8SpbXqvzdnCC+EzUds4lmzfvN8o5l6pELjjB/n3yh+rf5pwbE+6JHHhXMEPCzKLxJhlGm9lnQCKQA97cBzO7CdiBt27Z28DlQHO8K95ZwFx/3yy8cfhSRkHGIhtv2AzOuccqv/VVSzl8Lub5+2qcfZDK4XMxx9/X4fUESRkFGYtMvDkoOOdSgWWV/gKqkBLE4lZgu5mNcM597T/sJbwpEVOBNmbW13lVFA9V/iuoGoKMw3SgtZn1cc79KwTNr1LK+TMhQSjPWPj5RUQISc+cmY3AO7nWxyvJ+gDeF9GRZjYQApPZJwJ/dc69DkwBrjaz7/CSUJ2Qy4FiET4Ui/ChWIQPxSJ8lDAWuXiFgP5Y4KHjgRvwigL11JfW4JRDHL7Hi8OOymt11aTPRPiozrEIyZw5MxsOtC0wVvhZvJNtOnCzc66feQUDmgBP43V1bjFvEnu8c259pTe6ilIswodiET4Ui/ChWISPUsbiSeBu59xGMzsP2O+8JVMkSIpD+FAswkd1jkWo5swtAib73aHgDUdq7Zx7Da9r9GY/e24FZDnntgA453bqxFzuFIvwoViED8UifCgW4aM0schxzm0EcM59GMlflMKQ4hA+FIvwUW1jEZJkzjl32DmX4Q+NAa/SWN68t2uBrmb2CfAOsDgUbawuFIvwoViED8UifCgW4aMssTAzq/yWVm2KQ/hQLMJHdY5FSNdk87Nnh7e0wEf+5kN41d96ABuctx6EVDDFInwoFuFDsQgfikX4KE0sXCjmclQTikP4UCzCR3WMRaiXJsgFYoBkvFLSnwB/AHKdc7N1Yq5UikX4UCzCh2IRPhSL8KFYhAfFIXwoFuGj2sUi5IuGm9lgvGUG5gKvOudeDmmDqjHFInwoFuFDsQgfikX4UCzCg+IQPhSL8FHdYhEOyVwr4CrgUedcRkgbU80pFuFDsQgfikX4UCzCh2IRHhSH8KFYhI/qFouQJ3MiIiIiIiJSeqGeMyciIiIiIiJloGROREREREQkAimZExERERERiUBK5kRERERERCKQkjkREal2zCzHzL43s+VmtsTM7jCz454TzaytmV1RWW0UERE5ESVzIiJSHaU75/o457oDZwBnARNO8Ji2gJI5EREJG1qaQEREqh0zS3XO1Snwc3tgAdAIaAO8AdT2777JOTfXzOYBXYENwD+BJ4FJwGlALeAZ59wLlfYiRESk2lMyJyIi1c7RyZy/7QDQGTgE5DrnjphZR+Ad51x/MzsNuNM5d7a//6+AJs65B82sFjAHuMQ5t6FSX4yIiFRbNULdABERkTATAzxtZn2AHKDTMfY7E+hlZhf7P9cFOuL13ImIiFQ4JXMiIlLt+cMsc4DdeHPndgG98eaWHznWw4CbnXNfVEojRUREjqICKCIiUq2ZWWPgeeBp5809qAvscM7lAlcB0f6uh4CEAg/9ArjezGL843Qys9qIiIhUEvXMiYhIdRRnZt/jDanMxit48qh/37PA+2Z2NfA5kOZvXwrkmNkS4DXgCbwKl4vNzIA9wPmV9QJERERUAEVERERERCQCaZiliIiIiIhIBFIyJyIiIiIiEoGUzImIiIiIiEQgJXMiIiIiIiIRSMmciIiIiIhIBFIyJyIiIiIiEoGUzImIiIiIiEQgJXMiIiIiIiIR6P8Bpo8JmPnsOa8AAAAASUVORK5CYII=\n", "text/plain": [""]}, "metadata": {"needs_background": "light"}, "output_type": "display_data"}], "source": ["d[[\"Rate\"]].plot(figsize=(15,3))"]}, {"cell_type": "code", "execution_count": 241, "metadata": {}, "outputs": [{"data": {"text/html": ["\n", "\n", "
\n", " \n", " \n", " | \n", " Rate | \n", "
\n", " \n", " Date | \n", " | \n", "
\n", " \n", " \n", " \n", " 1999-09-06 | \n", " 2068.55 | \n", "
\n", " \n", " 1999-09-07 | \n", " 2078.17 | \n", "
\n", " \n", " 1999-09-08 | \n", " 2091.05 | \n", "
\n", " \n", " 1999-09-09 | \n", " 2093.84 | \n", "
\n", " \n", " 1999-09-10 | \n", " 2087.55 | \n", "
\n", " \n", " 1999-09-13 | \n", " 2062.96 | \n", "
\n", " \n", " 1999-09-14 | \n", " 2047.08 | \n", "
\n", " \n", " 1999-09-15 | \n", " 2040.93 | \n", "
\n", " \n", " 1999-09-16 | \n", " 2047.17 | \n", "
\n", " \n", " 1999-09-17 | \n", " 2060.87 | \n", "
\n", " \n", "
\n", "
"], "text/plain": [" Rate\n", "Date \n", "1999-09-06 2068.55\n", "1999-09-07 2078.17\n", "1999-09-08 2091.05\n", "1999-09-09 2093.84\n", "1999-09-10 2087.55\n", "1999-09-13 2062.96\n", "1999-09-14 2047.08\n", "1999-09-15 2040.93\n", "1999-09-16 2047.17\n", "1999-09-17 2060.87"]}, "execution_count": 241, "metadata": {}, "output_type": "execute_result"}], "source": ["d = d[[\"Rate\"]]\n", "d.head(10)"]}, {"cell_type": "markdown", "metadata": {}, "source": ["## A predictive model\n", "\n", "### First create a time series dataset with look back"]}, {"cell_type": "code", "execution_count": 421, "metadata": {}, "outputs": [{"data": {"text/html": ["\n", "\n", "
\n", " \n", " \n", " | \n", " Rate_0 | \n", " Rate_1 | \n", " Rate_2 | \n", " Rate_3 | \n", " Rate | \n", "
\n", " \n", " Date | \n", " | \n", " | \n", " | \n", " | \n", " | \n", "
\n", " \n", " \n", " \n", " 1999-09-10 | \n", " 2068.55 | \n", " 2078.17 | \n", " 2091.05 | \n", " 2093.84 | \n", " 2087.55 | \n", "
\n", " \n", " 1999-09-13 | \n", " 2078.17 | \n", " 2091.05 | \n", " 2093.84 | \n", " 2087.55 | \n", " 2062.96 | \n", "
\n", " \n", " 1999-09-14 | \n", " 2091.05 | \n", " 2093.84 | \n", " 2087.55 | \n", " 2062.96 | \n", " 2047.08 | \n", "
\n", " \n", " 1999-09-15 | \n", " 2093.84 | \n", " 2087.55 | \n", " 2062.96 | \n", " 2047.08 | \n", " 2040.93 | \n", "
\n", " \n", " 1999-09-16 | \n", " 2087.55 | \n", " 2062.96 | \n", " 2047.08 | \n", " 2040.93 | \n", " 2047.17 | \n", "
\n", " \n", "
\n", "
"], "text/plain": [" Rate_0 Rate_1 Rate_2 Rate_3 Rate\n", "Date \n", "1999-09-10 2068.55 2078.17 2091.05 2093.84 2087.55\n", "1999-09-13 2078.17 2091.05 2093.84 2087.55 2062.96\n", "1999-09-14 2091.05 2093.84 2087.55 2062.96 2047.08\n", "1999-09-15 2093.84 2087.55 2062.96 2047.08 2040.93\n", "1999-09-16 2087.55 2062.96 2047.08 2040.93 2047.17"]}, "execution_count": 421, "metadata": {}, "output_type": "execute_result"}], "source": ["dt = ts.timeseries_as_many2one(d, columns=[\"Rate\"], nb_timesteps_in=4, timelag=0)\n", "dt.head()"]}, {"cell_type": "markdown", "metadata": {}, "source": ["### Split dataset for trian and for test"]}, {"cell_type": "code", "execution_count": 425, "metadata": {}, "outputs": [{"name": "stdout", "output_type": "stream", "text": ["(5040, 5) (2691, 5) (2349, 5)\n"]}, {"data": {"image/png": "iVBORw0KGgoAAAANSUhEUgAAA3MAAADCCAYAAADjN5s3AAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4xLjIsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy8li6FKAAAgAElEQVR4nOzdd3xUVdoH8N9J74GEBAIBEnrvRaQjiIpShFUWsSNWxLYr+rov8XVV1t0VCwqLZUVREBEQKdJMKCq9Bgg9QOgJ6T2Z8/5x5s7ce+feycxkavJ8P598MrfMnTM3yeQ+95zzPIxzDkIIIYQQQgghvsXP0w0ghBBCCCGEEGI/CuYIIYQQQgghxAdRMEcIIYQQQgghPoiCOUIIIYQQQgjxQRTMEUIIIYQQQogPomCOEEIIIYQQQnxQgKcbYE2jRo14UlKSp5vhNMXFxQgPD/d0M+o8Os/uQefZPeg8uwedZ/eg8+wedJ7dg86ze9B5Bvbt25fNOY/T2ubVwVxSUhL27t3r6WY4TVpaGoYNG+bpZtR5dJ7dg86ze9B5dg86z+5B59k96Dy7B51n96DzDDDGzutto2GWhBBCCCGEEOKDKJgjhBBCCCGEEB9EwRwhhBBCCCGE+CCvnjOnpbKyEllZWSgrK/N0U+wWHR2N48eP27x/SEgIEhMTERgY6MJWEUIIIYQQQnyRzwVzWVlZiIyMRFJSEhhjnm6OXQoLCxEZGWnTvpxz5OTkICsrC8nJyS5uGSGEEEIIIV6Oc+Bf/wKKi4HXXgOCgz3dIo/zuWGWZWVliI2N9blAzl6MMcTGxvpkDyQhhBBCCCFOd/myCOQAIDXVs23xEj4XzAGo84GcpL68T0IIIYQQQmrkJwtddu70XDu8iE8Gc56Wl5eHTz/91O7nTZw4EXl5eS5oESGEEEIIIXWcv7+nW+B1KJhzgF4wV1VVZfV5P/74Ixo0aOCqZhFCCCGEEFJ3Xb3q6RZ4HZ9LgOINZs2ahTNnzqBHjx4IDAxESEgIGjZsiIyMDJw8eRLjx4/HxYsXUVZWhpkzZ2L69OkAgC5dumDfvn0oKirCnXfeiUGDBuH3339Hs2bN8NNPPyE0NNTD74wQQgghhBAvtW6dp1vgdXw6mEtJSfHIcefMmYP09HQcPHgQaWlpGDNmDNLT001ZJ7/88kvExMSgtLQUffv2xcSJExEbG6s4xqlTp7BkyRJ89tlnuO+++/Djjz9i6tSpLnk/hBBCCCGE+DyDwdMt8Do+Hcx5i379+inKB3z00UdYuXIlAODixYs4deqURTCXnJyMHj16AAB69+6NzMxMt7WXEEIIIYQQn1NR4ekWeB2fDuZc1TNnr/DwcNPjtLQ0bN68GX/88QfCwsIwbNgwzfICwbK6GP7+/igtLXVLWwkhhBBCCPFJfn7UO6dCCVAcEBkZicLCQs1t+fn5aNiwIcLCwpCRkYGdlDaVEEIIIYTURxcvAidPOu94sg4UBPh0n5TT0FlwQGxsLAYOHIguXbogNDQUjRs3Nm274447sGDBAnTs2BHt27fHLbfc4sGWEkIIIYQQ4iFffCG+//WvQFhY7Y9XXW1+XFUleun86nffFAVzDvruu+801wcHB2P9+vWa29LT0xEZGYlGjRohPT3dtP6VV15xSRsJIYQQQgjxuNJS5wRz6jJgGRlAp061P64Pq9+hLCGEEEIIIcS7Xb4MLF9umQBl2TLPtMeLUM8cIYQQQgghxHstXKhcpkQoJtQzRwghhBBCCHGdoiL79r90CVi9GsjP197OWO3bVEdQMEcIIYQQQghxLs7Nj7dute+5y5cD+/frPy8kxPF21TEUzBFCCCGEEEKcSz4MsrLS9ucVFgK5ueLx/v3a+yQnmx/r9d7VExTMEUIIIYQQQpxL3jPXsqXtzztyRLEYl5pquc9dd5kfUzBH7JWXl4dPP/3Uoed+8MEHKCkpcXKLCCGEEEII8SLynrmoKNuft2mTYjH8/HnLfcLCzL1z6nIF9QwFcw6gYI4QQgghhBAr5MGcvNh3TeQ9etYEBorvZWW2H7sOqrE0AWMsBMA2AMHG/Zdzzmczxr4CMBSA1Lf5COf8IGOMAfgQwF0ASozr9xuP9TCAN4z7/51zvsiZb8ZdZs2ahTNnzqBHjx4YNWoU4uPjsWzZMpSXl2PChAl48803UVxcjPvuuw9ZWVmorq7G3/72N5w/fx6XL1/G8OHD0ahRI6RqdRsTQgghhBDi6+TBnCt6zwKMYYxUa+6114CcHODqVaBnz3qT8dKWOnPlAEZwzosYY4EAdjDG1hu3/YVzvly1/50A2hq/+gOYD6A/YywGwGwAfQBwAPsYY6s557kOtz4lxeGn1ua4c+bMQXp6Og4ePIiNGzdi+fLl2L17NzjnGDt2LLZt24YbN26gadOmWLt2LQAgPz8ffn5++PTTT5GamopGjRq5pu2EEEIIIYR4mjyY27IFGDRIPK6uNgditSH1zElSU4GdO8Xj6Gigdevav4YPqHGYJRek4hCBxi9r/Z/jAHxtfN5OAA0YYwkARgPYxDm/aQzgNgG4o3bN97yNGzdi48aN6NmzJ3r16oWMjAycOnUKXbt2xaZNm/Dqq69i+/btiI6O9nRTCXGaa9eu4dixY+C2DoUghBBCSP2ivkY4eVLMh5szB7h507FjtmoFTJwoHqsDQimQA4C8PMeO74NsCosZY/4A9gFoA+ATzvkuxtjTAN5mjP0vgC0AZnHOywE0A3BR9vQs4zq99erXmg5gOgA0btwYaWlpiu3R0dEoLCwUCy+/bEvz7ScdX0dRUREMBgMKCwtRXl6OF198EY899pjFflu3bsXGjRvx2muvYejQofjLX/4CzjmKiooQHBxsU1PKysoszgGxrqioiM6ZC5WXl2PJkiWoqKhAUFAQ2rRp4+km1Wn0++wedJ7dg86ze9B5dg86z9b5FxWheWamecW775oeFs6fj5yBAy2fxDmS5M8BUFFRgUzjusxhw8RQyrQ0xBw/jijVvpLs/ftRJLue9ysrQ1RGBgrbtkV1eLjF/oH5+QgoKEBp8+Y2vjvvYVMwxzmvBtCDMdYAwErGWBcArwG4CiAIwEIArwL4v9o2iHO+0Hg89OnThw8bNkyx/fjx44iMjKzty9RKQkICiouLERkZiXvuuQd/+9vf8PjjjyMiIgKXLl1CYGAgqqqq0LhxYzzxxBNISEjA559/Dn9/f0RFRYFzbvN7CAkJQc+ePV38juqWtLQ0qH9viPOsWLECSUlJyMzMRFZWFoYOHYq2bdt6ull1Fv0+uwedZ/eg8+wedJ7dg85zDXJzgb17tbd16ABonTuDwaJQeGZmJpKSkoC4OCTJn1NVBegkFUzq3Rvo1cu8YuVK0VuXmQk8+6zlE6QpViNHAgkJOm/IO9mVzZJzngcgFcAdnPMrxqGU5QD+C6CfcbdLAORhbaJxnd56nxMbG4uBAweiS5cu2LRpE6ZMmYIBAwaga9eumDRpEgoLC3HkyBH069cPPXr0wJtvvok33hB5X6ZPn4477rgDw4cP9/C7IMQxhw8fVix/++23AICqqipU1fP0wITURmFhIT788EPs3r3b000hhJDak8+ZU9PLbimt9/cHIiLM6zt1Ah5+WLmves6cteNfviy+37ih/xxA9Pr5GFuyWcYBqOSc5zHGQgGMAvAPxlgC5/yKMXvleADpxqesBvAcY2wpRAKUfON+GwC8wxhraNzvdojePZ/03XffKZZnzpypWG7dujVGjx6tWFdYWIgZM2ZgxowZLm8fIe5UXV2Nv//97wCAF198keaIEuKA7du3Izc3F+vWrUO/fv1qfgIhhHiz2gRzAQFAx47Anj1iOS5OGdwBwJUrtr+2tcyW8n19MAOmLT1zCQBSGWOHAeyBSGKyBsC3jLEjAI4AaATg78b91wE4C+A0gM8APAMAnPObAN4yHmMPgP8zriOE+LhLl8yd7HPnzvVgSwjxXZRQiBBSp+RaSVjv76+9Xh7MNWxoff+4OP3jSwFaeTnw8cfA9evmbZWVyn3lRcl9MJirsWeOc34YgMWkLc75CJ39OQCNwagA5/xLAF/a2UZCiA2Ki4sRFBSEQGvDDmqpUv0BaPTll8o/6/LycpuT/BBCBFbDRcTJkydx7do1DBo0qMZ9CSHE43SuGQAAfjr9SfJhlg0amNeXllruO2gQsH279eOsXWs5dDIvTxkIym5Io7xcv81eyglFHgghnlZQUID3338fADBlyhS0a9fO7mOsWLEChw8fxqBBgzBy5EjFttzcXFRUVNictaukpISCOUKcTBre36JFC7Rs2dLDrSGEkBpYC+aKirTXS3Pv/f2B2Fjz+pAQy32tXWcYDMCxY4Bqnj8AYNUqUd4gJkYsl5WZt1VU6B/TS9mVAMVb1JehKPXlfZLau3jRXPVDPZ/TFpxzU2KTHTt24KOPPsKhQ4cAAGfOnMGHH36I+fPn4/jx4zYdr1TrDhohxCpbe9vs/vtKTwc2b7as+UQIIa5kLTDSKSlgek5QEBAfD9x2G4qTk4HBg+177V9/BZYtU66TevouXQLk10ry3jgf7JnzuWAuJCQEOTk5dT7Q4ZwjJycHIVp3IghRKSgoqNXzK1QfuDdv3sTKlStRVVWFb775xmL/hg0bon379rrHK9FJFUwIqT27hlgaDMDy5cCOHcC5c65rFCGEqEk9c7fcAtxxh+X28nLL4ZPS3LagIDF/bfBg3Bg6VH9YpmTMGNGTp5c8avJkIDTUvJydrWyH1mMf4XPDLBMTE5GVlYUbNaUW9UJlZWV2BWchISFITEx0YYtIXaEOxqSC3rbSC742btyouf6pp57C77//jq2qWjDBwcEoLy+nYI4QB7hkHpw8AYFe9jhCCHEF6dpEbzikVET89ddF8AaYA0C9YZhqzzwDXLsGdO0K9O0r1mmVd2ncWD/7pTyAs/V1vYjPBXOBgYFITk72dDMckpaWRgXAiUuog7l33nkH9913Hzp16mTT8/WGbWnVu3rggQcQHByseeHZoEEDXLt2jYZZEuJCdgV98rkgFMwRQtxJCswCA4GoKPP60FBlj1xBAdCokfI5ts79j48XX3IxMcBNWcL8oCDLsgaASIwSG6sM5goLbXtdL+JzwywJIZbUwRwALJONFa+oqMCKFSssetIkUk9aA3nmKB1t27bV3RYZGak4Xk0yMjKQkpKCdevW2bS/Paqrq7F+/XqcPXvW6ccmxBWc0jPHObB1K3D6tFiWB3NSYgFCCHG169eB338Xj6WaccOHA48+Kpbl5J99UqK12mTmvqmqfDZjhvbxPv5YzCeWB3O1nLbiCRTMEVIH6JUMqDbeid+9ezcOHz6M1NRUzfmmOca0vcnJyXjmmWfw+OOPK7Y3Mt4xGz58uNV2tG7dGoAyIYueGzduYOnSpab21daJEydw+fJl0/KhQ4ewa9cufP3117U+NiHexGrQd+4ckJoKLF4sluV3v6lnjhDiLjt3mh/7+4uAbehQoGVLy2CuslIEYD/8YL4BVdMcOXsYbzTjgQcs68jt2KFM1EI9c4QQT5B65u655x7F+ry8PABAfn6+ad1XX31l8XxpblyTJk0QHx+Ppk2bwk/2QXrvvffi0UcfxWBVNqlu3bqZXjclJQURxmEMZ8+eNQWIehzJuqnn5s2bWLJkCRYuXIhz584hNTUVq1evNm0vLi5GcXExqqhngngxp/TMqXvF5Td66PefEOIu8jpu6s82dTBXVQXMnw8cPWpeJxX9dqa2bYE33rBcr06A4mNJUHxuzhwhROnQoUM4duwYAJFlUi47OxuxsbGKYY/nz5/H9evXES8bYx4SEoLi4mIkJCQAAPz9/eHn5weD8cM0KirKFKjJ3X333ejVqxdatGgBAGjevLlp244dOzBu3DjddkuBpiQ3N9ei/bYqlN1JW7RokcX2HTt24I8//kBCQgKefPJJh16DEG9hNejz91cuyy+IKJgjhLiLvGdN/dmj1TOnHmHkimAOsPyMBMzBW0SESIBSVGS9hp2XoZ45QnzAnj17kJ6ebrHeYDBg5cqVpuWoqCjMmDHDNNxRyvqqnsO2cOFC0+Pq6mqUlJSAMYZmzZqZ1st7sfSysAYFBSEpKcnUiyfNmQOA09KcHR1+qiEUy5cvt7q/NeU13EU7cuQIAOCKXiYrQryAU3rmrl41P+ZceUFEwywJIe4i/+xRB2paPXNqtSlBZm9Zr8pK0XsoZbLcv9/x1/YACuYI8XJbt27F2rVrNYOdm6pJvpGRkYiNjUXnzp0BAHv37kV2djauS3VbjOSBWmFhITjniIiIgL/sjtXYsWNNjwPUH7w65M8vLCw0BXRac/rUx7x06RIyMjJQWFiIJUuW2FygHKg5mCvywVTDhOjRDfpSU0XyE/my/G+DeuYIIe4iD8bUpZLCw5XLmzdbPl92c9lu06ebH/fvb9tz5D1x8sRRPoCGWRLi5U6ePGl6zDlHSUkJwo0fhOrEIcHGDyNpCGVeXh7mzZtnccywsDBwzsEYM82ni46OVuzTq1cvdOnSpVZtX7x4MUJDQ1FaWorJkyejQ4cOpm3NmjWzyDS5dOlS9O/fHydOnMCJEycwa9Ysm2ozlhk/eFu0aIELFy5Y3Vd634T4Kt3fX3W22m3blMtUMoQQ4i7yYK5XL+U2debsa9csn2+8Ke2QmBjglVeAffv0i4iryQM4ZyZfcQPfai0h9YzBYFD0qm3cuBH//Oc/cerUKRgMBkUwN3DgQNNjKfuk2oABAwCIYZcFxvS70tw1rbIEQUFBdhUf1yLVnFu7dq1ivfR6HTt2VKzftWuX6fH27dtteg2p5y0pKcm0jjGGkSNHWuxbTUPNUFhYiD179uhmQSWeYe0mg1YWWrsdPlz7YxBCSE04BzZtEo8HDrQsC2BDGSSLpCn2iogQ2TNDQ+1/ro/d8KVgjhAvUl5ejnnz5iElJQV79+7FjRs3FBfcf/zxBwAx9HKT9EEJ4Omnn8aoUaNMy1q9WUOGDMHo0aNN8+mkNP56PXOOmjJliub6wsJCZGVlmZaloEqeNEVNq36eFmluYMOGDU1JVFq0aKEZiNp6zLps8eLFWLt2LX799VdPN4XYyCKYKykR9ZDsuTnhYxcohBAfJbspq5nq30nXG07Vt6/5MzIx0bNtsRMFc4R4kQMHDiA7OxsAsGbNGsyfP19zv5CQEFNgBwCNGze22EfdKzVkyBAAQNOmTQGIOWqAeaimPHlJbVibX/f5558DEBemhw4dAiCGfOqxteC3FKBFRERg/PjxSEpKwujRoymY03HNOKTl3LlzHm4JkbO1Z45zjh2PP449f/4zyqTairb0uhUVKWs/EUKIK6Smmh9rzVm3chPXLaTXv/NO4MUXgVmzgDFjgOefB+69F+ja1bPtsxPNmSPEi5TZOOlWCvgA4M4779TcZ9CgQejTpw8OHjyIXr16mYIsKZi7cuUKTp8+bRqiaMvcNFvUNHSPc67IwBkREYGHHnoImZmZqKysxB9//IHJkydj6dKlyM/PtzrHbafxwlQK0AIDA9GyZUs88sgjAER2TzVrwVxJSQl2796Nnj17Oq2n0pvR3EHfoe6ZKyguRlhxMUwph1assO1Av/wC3HKLU9tGCCEmnCsTL2kNEY+IEAW8i4uBVauU29q0AWQJ2FzigQeArCygVSvl/LiGDcWXj6FgjhAvoi4hoEdeo62/lUxNISEhuEV14SYFOCUlJYphj1qBjyO0egnljh49isOyXoTY2Fg0bNgQrVq1AgCMHj0agJivV1FRgfLycuzbtw8XLlzAuHHjTD15VVVV+OWXXxTHVvfEadXGs3aO161bh/T0dBw5cgQzZsyw+j7qAirV4D3Ky8ut3ghR98xVG9N++1NATgjxJgcO2LZf27bi+759wMWL4nFICDB1qmvaJRcSIoLGOoKGWRLiRTIzMzXXS4lL1OTz5GwlBTyVlZWm0gYRERFITk62+1haGjRogJkzZ+oW5z569KhiWa9QuBSIbd++HZs2bcKJEyfw3nvvmbYXFxdbPCdQPclaw5kzZ3S3ScFNTk5OjcfxVVWq9PS29gYT1+Gc47333jP1NOvtI6mqqgJnDIwx/X/iTz2lXO7UqfYNJYSQmqiybNc4V7d7d/Nj+n/kEArmCPESlZWVpkQeckOGDEFCQoLmc+Sp/m0lBXMVFRWmoOVPf/qTU4fcNWzYEAkJCUhJScGkSZMU2wyyQqLyDJxqUvmF3377TXO7Vg+bVjCn7nHMz8/XHWrprKGm3qqyshKrVENa5L28xDMMBkONWVYtgjk/P/j5+YnCvPLivADQsiXQpIl5OTZWzAcBLDO7FRUB334LqG6yEEKIQ65etW9/HysD4I3oDBLiJQ4fPgzOucUwxXbt2iEmJsa03K1bNwCAn5+fQ/O6pICnoKDAlAQlNjbW0WbXSP5+GGOmUgUAcNttt+k+T92DBCgDs8MaCR+0kqlIJRjkz3vnnXcsCq4DQKgjKYx9yPbt25Genq5YV0q1xzxOq+xARkaG7j7Lly8HZ0wEc9XVyoyWXbsC6oyywcHmgrjl5co5LDt3AqdOAT/8UOv3QQghdqNgrtboDBLiJaSLt7i4ONO6sLAwJCYmolmzZqZ1d999N+6//37cf//9VjNH6lHPKwsMDNScW+YscXFxuP322wGI9yMV9WbSxagOrflc5bJJ1ddURUb9/f3tqon30UcfoVCVMlnqDQSAvXv32nwsX6E1jDcvL09xXgEn1TTzUuXl5fj99981g3lPMah71gBF6RHA8mdiCuYMBkC68RESAkycaA7cjMmO0KYNEBAA+PuL/eXBH/XMEkKcSZ2psqZRP3X4/427UDBHiJeQhg327dvXNNyvR48eAETgM3v2bLzxxhsICgpCx44d0b59e4dex9/fX7Gs1QPmbNL7kL/W3XffbfU5Wu+vvLzcdOGrvhjXC2y7Wkkx/PHHHyuW5T1za9asccu5cYcrV67gxIkTmkHaTz/9hHfffde0vGvXLrzzzjvYs2ePO5voNr///js2btyoyKgKiN9NT/285YmIJOohwzYFc+phxg8+CEyaBBjLkih65ySqnlpCSC1dvChKhdTXIMWe2peAqJlJaoWCOUK8hDTcLTw8HE888QSGDx+OYcOGmbYzxhzqiVNjjGGsLO2vO3phpB4zeQ+QtSALAMaPH69Ylub0ST1y6rle6t4lye23366bqbOiogIFBQU4dOgQUlJScOTIEcX2jIwM/Pe//zUVWPdF169fx3/+8x8sWbIEF6WMYRDDd+WkOVvbt29HZWUl1q5d69Z2uovUOyk/F5xzLF68GHPmzPFIm77++muLdeohv+q/02ppzlxlpTmYU92oQWgo0KWL6JUDzN+PHQPWrAFOn3ZK+wkhMsuXi1Ihss+YesXem2Ly/931oCSQK1AwR4gXKCoqMvU0hYaGIjY2FkOHDrVr2KA9evXqhZYtWwIAkpKSXPIacuogNCQkpMb3Fhoaago4YmJi0KBBAwBiDpx8HpzUg6E3fzAyMhIvvfQSBg8erLn9yJEjpl4adYbM5cuX4/z581i4cKHVtnozrQQn7du3VwznBcy9pvIgor4UFZfeuzf1xKrPvUUwFxAgbmCUl5vvhNd0s0ca1rx2LbB3L7B4sbOaSwiR5OeL77m5nm2Hp6h75moaZilPPFZDaSOijerMEeIF9u/fb3qslcTDFSZOnIjdu3dbrVPnTKNGjTLNA7I1Hf6kSZNw5MgRNGnSBHv37kVubi6uX7+ODRs2mPaZNWsWMjIyTHXq9AwaNAhFRUXo3r074uLikJqair1791rMTdJTWVlpU+kDb6OVJfGWW26xKL9QVVWFoqIiRUbVRYsWISUlxdVN9CoGg8HqXE53Ki0tNQXX6mCuyt8fjRo1EsGcFITWFMype+4IIa5TH4dZGgyAvaV9+vQBTpwACgqAGqZfEG01/sdijIUwxnYzxg4xxo4yxt40rk9mjO1ijJ1mjH3PGAsyrg82Lp82bk+SHes14/oTjLHRrnpThPgaaejg2LFjnVoiwJqoqCiMHDkSkZGRbnm9xMREu58TFBSE3r17o1mzZqZ2btmyxdSL2a5dO/j7+6Nz5841ZqIMDg7GuHHjkJSUhPDwcKv7a/Xyvf322zh79qzd78HTtIK58PBwi6QbVVVVWLJkiUOvcfbsWd0aie509OhRrFq1ymrx7fPnz1usk58LrWQknvKPf/wDx44dA6DdM+fv7w9kZdkezHlJkEpIvVAfgzlHhpYGBQGPPgrMnAnoTIkg1tnyyV4OYATnvDuAHgDuYIzdAuAfAOZyztsAyAXwuHH/xwHkGtfPNe4HxlgnAJMBdAZwB4BPGWN0m5AQmOfLOVJqwFfIM3JOnjzZ7udrXWSrs1HaQ28eHaBfjF1rbpO3Ki8vx549ezSHWcbHx6Nbt25oIqtFlp+fj+zsbLtfp7q6Gl9//TW++uqr2jTXKX7++WccPHgQ+/bts+t58kCppnpv9igqKkJGRkatjvmDsWSAOphjUg9iZSVw/bpYqSrDYcGWYG7HDlF3TqcWIyHExxgMwBdfiHl8rqY16sZNN6jrsxo/2blQZFwMNH5xACMALDeuXwRAylYwzrgM4/bbmOhqGAdgKee8nHN+DsBpAP2c8i4I8WHnz5839fi4ao6cNwgICEBKSgpSUlIcKnauNbevYcOGDrenRYsWutv8/f2RnJysuU2rZ8cbvfvuu1i7di02b96sWC8FcCEhIXjqqadMw3rXrVvn0OvIAxVPlzSQhu9qFZTXIrVX3m5n9sytXLkSS5cuxcGDB3X3qWnIMeccBQUFFue2KDJS9MwxBqxeLVbWFMxJc3m0REcDly8DmzeLunPbtlk/li0WLQJSUgDVXFRC6gVv6Zm7edOcYdPVvOU91zM2zZkz9qDtA9AGwCcAzgDI45xLs8WzAEi33ZsBuAgAnPMqxlg+gFjj+p2yw8qfI3+t6QCmA6LYcFpamn3vyIsVFRXVqffjrXztPMt7NPbs2YMzZ854rjF28MR57tChAxhjWL9+PQCgU6dOtWqD3tDAgwcPokWLFqbArV27dvjll18AiPpfbdq0cfg17eXIec7OztZ8b7GxsejRo4fieH7pXvkAACAASURBVNIwPr1zUdNrV1RUmJ6bmprq0flmUjuio6M128E5x8WLF00B6IoVKxAbG4vS0lLT+0hLS3Na8fgtW7YAED2GWr3IVVVVWLZsGSpq6AVbsGABOnbsqPgZleXn41pZGWD8vZRkWvl5JakKkSvaEhaG6rlzEWycM1nMOW7UInuuf3ExmqemAgAqX38dlyZMAOB7n8++is6ze2id5yTj32n2nj0oqukGixs02rYNEcY2ZW7Z4tK5s2HnzyNe9b+kpLIS12v5u0i/z9bZ9EnNOa8G0IMx1gDASgD231a3Eed8IYCFANCnTx8uT83u69LS0lCX3o+38qXzXFVVpfiAGjFihClro7fz5HkeOnQo8vPzHa61Jzlz5owiRb3kvvvug7+/P4YPHw5ABAGXL19GQUEB2rRp49b37ch5/uyzzyx6Ml955RXN4vC7du0yDfPVkpiYiPj4eN1hqaWlpfj9998BiJ+Luo6hu3DOTX9LPXv21DxnJSUl2Lp1q2m5ZcuW6NOnD4qKivD9998jKSkJAwcOtDoE1x5Sezp37qzZnry8POzYsaPG45SUlGDgwIGK4aMxOTnoEBBgMTQ7ydrvym+/iWGZcmFhos5TRATQvbvYBwDatgW0jnX9OnDlCtCtm/bwqbw8YP16kdBA9jvY1ngsX/p89mV0nt1D8zwb/+6TevcWyT08LS3N9LeYNGCA+Jt3hX37gHPnFH/3AIB27dCplr+L9PtsnV23UDnneQBSAQwA0IAxJgWDiQAuGR9fAtAcAIzbowHkyNdrPIeQeum6NNfFKFgq6kusatKkSa0DOcCygDoADB8+3GI9Yww9e/YEIP6p5FsbruYFtHp6tAI5AJgyZYrVYy1evBjvv/++7nb5sMQPPvgAmzdvrtVcRkfJ6wzqJUBR9z6uWbMGgOuGWUr0khrZM5fus88+Uyy3adrU/jm2WhdDxh4zcA7IkyHFxmof49NPgZUrAb3hxmvWiEBOixPnIxLi9bxxyKGNmaQd8vPP5sedO7vudYgFW7JZxhl75MAYCwUwCsBxiKBuknG3hwH8ZHy82rgM4/ZfufhPuRrAZGO2y2QAbQHsdtYbIcQXFaiGYDhreBexjVYwp/czSEhIMD2eO3euV2U9VFPXS7NWbL558+Zo3bp1jcfUC2DlAUlhYSF27NiBf//73za21Hnkc8/0hi0uW7ZM83laCVCOHz9uUb7BUc4I5uS9p7Gxsbjz9tvtb8iAAZbrpMREBoP4kkh370+cAObOBXbtUm7XGj5WVqZdiLxdOxEAvvUWAjwQ6BPiEd4YzFnJ9Gu3mzeBdevEZ4H6vRYVaT+HuIQtPXMJAFIZY4cB7AGwiXO+BsCrAF5ijJ2GmBP3hXH/LwDEGte/BGAWAHDOjwJYBuAYgF8APGscvklIvSX1IDRo0AD/+7//6+HW1D9awZxeEhp1T+Bv0nA0L6TumappHtvEiRMVy1qJZdS9yACwatUqq712tnBW9sgM2XwweS+d5OTJk5rPKy0tVQxfNBgMOH/+PL7//nt8/PHHTmmbXjDn6A2BkJAQOJQfzs8PkCf2uf9+c4bL0lJziQPROPF961aROGX9esA4nBaAyIynPqcffqj9uidPAocOAQASf/zRkZYT4nu8MZhz5k3I//4X2L0b2LDBMvut/HOdslm6nC3ZLA9zzntyzrtxzrtwzv/PuP4s57wf57wN5/xPnPNy4/oy43Ib4/azsmO9zTlvzTlvzzlf77q3RYhvkHoQWrVq5TWFiusT+TkfM2YMWrdujXbt2mnuyxjDkCFDTMveOhm7srISRaq7ojX9bqkL1Q8ePNhin2+//VZRUByA1SyNakePHsXChQuRlZWF9PR0GAwG/Prrr5gzZw4uXardiPuqqipTghoAOHz4sEVAJ5+bFh8fbzonubm5inl0BoPB4n0CIujLyMiw6PW0hTN65uRCQkIcvygbPx4YMwZ4/XWgY0dluQL5MFSDQVyMXr5sXqfKjIrvvlMuW5l7qXDhgl1NJoQ4icEAZGcrb9w4SuplLyhQ9sgzpj0KgLgMXT0S4iGcc2zfvh0A3Fa4myg1atQIgLg47tu3Lx588EGLwEZugOwfVPPmzXX386QvvvjCYl1ISEiNz7P2viVr1651qE0VFRX44YcfcPnyZXz++edYvnw5fvvtN2zbtg2VlZXYvbt2I+610vurs8LGyuaAPfnkk2jcuDEAy9qB69atw2mNoYI//vgjli5dil27dtndvitXrmiudzSY69OnD+BoRtXoaKBvX1GoF1DeNT971vy4rExc9LnCuXOuOS4h3sRbeubko00OHADmzRM97rUh74m7eBEw1sMEAMyaJebMDR0qlmU3QYlrUDBHiIccPHjQVNA5Pj7ew62pn2699Vb06tUL999/v037h4aG4sEHHwQgkmnUtkfJFa5evWqxrlOnTjU+709/+pNiOTw83GKfrKwsu9tTVFSEd955x2K9lLYfqP1QS61gTh3ASj1qEyZMgL+/v26Adf78ecWQTUD01kkB3pEjR+xun16gbO/7TkpKwnPPPSfqNDZsaE5eIunb1+626RYS373bvlpzGzcql198EWjVSntfZ87bIcRbeUswJ0+UtHev+G68kaxJ6r2z1n5rScCkRG7DhwN/+5t5Xi5xGQrmCPGQs7K74NYKWBPXCQsLw9ixY3ULhGuRBwnqDIOSGzduYM6cOdi1axf27t2LOXPm2DUk0dn0hvnJJScnY+DAgYiJiUHnzp3xzDPP4KWXXsIbb7yBWbNmARABkb0BiJQx0praFhvfphF0yOcNcs5RbCxcLWX1fOihh2w+vvxYtpxLNT8/P1y9etViiKZ6zlz//v0BAPfee6/mcZo1a4ZGjRqZ26DO6NrBgapB1obg2hK4Gm9IKebTNW4sLiAfekg7NTsFc6Q+8JZgTu8zWz1Uu6pKJDxaulT03qWn6x9Tb5imes65h0rV1DcUzBHiIVIPygMPPEDDLH2IOkGKuiessrISn3zyCcrKyrB+/XocOHAAZWVlWLVqVY3FoWurpKREc72t8zFHjRqFGTNmIDg4GOHh4YiKikJAQABCQkJMPXV6r6FH3culpTbBnMFgwOHDh03LHYwBTVFREfLy8lBVVYWPP/7YdPNEeh9Nmza1+TXkJQ2uXLmCTz/91K7yFGfPnsWCBQvwoyr5h3pu3ujRozFjxgx07doVTz31lKkXWGLxcwwJUV486STvsaq2yQnkQzMl8iGgY8ZYbnfGfB1CvB3nImDy9M0LvWBOPSR/82ZgyRJzYqP9++0/5iOP2N08UnsUzBHiAocPH8ayZct0613l5+ebLuRa6Q1FIl5JXQtwwYIF4Jxj0aJFWL58uaLHFYBiKOZ+a/8cneC9997TXG9Pb5LevlIQdOzYMYvgS5p/JqeVUdIV1D2eUm/Xzz//jA8++AA7duzAzZs3TdulguC2zCOULFmyRLF8/fp1zJ07FydOnLAoL2LN8ePHFb1x8qQtgAjWYmNjwRhDkyZNLHqMe/fubXnQJk20H9vjmWccex4AaAzrVdSz0/p98vTFLSHukJcH/N//AW+/7blU/ZWV+kMi5dMEKiqAnTuV263939C7IWPHTTLiPBTMEeICK1aswLFjx/D2228rLiQl8uQMWunxifeKioqyyPa4efNmnDt3Dunp6boBPADNxBru0LVr11ofQ+qRXL9+vUWSFa2C5O4q3bB69WrT43bt2uG8qpi1Ouuo3vw1vaLq1soHLFmyBCtWrLDreVqZMvXIA+t77rkHDRo0sNxJnlwgMNDmYyvI5+wGBgIpKbY/d/duy+CspnZQMEfqgz17zI9Vn0tuI5ubbJXW5/XZs8A//wkcPWq5jXrXvQoFc4S42Pfff2+xThp61teRhAXE42677TbFsjxwWb58ue7zTp8+jdzcXKxcudKui3pHzZ49G7NmzUJcXFytjyXvfcvKylLMU4uIiECPHj0U+1dUVNicxr+2c+YkkyZNwsiRI23eXz5v7nadItzWgnNAOQRTTi+Y++abb1BoTOktDyy1egrlwZy8aL1CUpKYn6aeP+corffbsSNgnM8HAFAN/8Tbb5uHeFqbiyjN6Tt+XFkGgZC6Tppb6m42DHMHoN3DDgDFxYDWvGdpmKUsSzDuusu+thGnoWCOECdTX8BmG9N7FxcXw2Aw4Nq1a6YCxhTM1V0xMTGa67/88kscOnQIX331ld3HtBb0aM1NY4zZNZzQmlGjRimWf/31V9Pjzp07484771RsDwwMxN///nebjl1ZWYlTp06hqqoKly9ftqiTZ6ugoCB07txZd3v37t0Vy61atcLMmTPx+uuvm4ZfqtkSkGr9XPQSxRQVFZmSwnTs2NG0/sknn9Tc/5577kHv3r31g7mAAGDmTGDy5Brb6bCYGOCOO4DISBG0xccDt9yi3EeaDyrPnCeZNk2kKe/Xz7zOgd9/QrzeH39or3fxfGldUi04iVZCoppo1Y80JpRC48aiFMGsWcq/b+JWFMwR4mSlqg8+xhgyMjLwz3/+E+vXr8e1a9cAiAtJKkngu1599VWr26dPn66ZJVPqlSkuLsa+ffuwbt06m3qm/vOf/2DevHm6SVR+/vlnG1rtuJCQELz00kto27atxba2bdsiODgYj8gmv2+3lvpa5fTp0/j222/xww8/YOHChfjXv/7lcDvDwsLwl7/8xWL9gw8+iLFjx1qsb9iwoWkI6csvv4wZM2YottfUMyffR/5ztJb18+LFizhx4gT27dsHABg/fjwaNmyouW/v3r1xzz33WJ/36OdX+0QmaoMGmR9zLo7/wgvAyy+LoE6qIaXVFrXERJGmPCBAuV6jpAQhPuvGDWDDBu1tnhpaLP8cmjYNGD0aaNfOcj+tgE2PwQBIw9vLykQiJifdNCSOoWCOECeTEl60bNkSQUFBqKqqMiU62LNnDy5fvgzAyrAp4hNCQ0Px0ksvaW4bPHgwQkJCdFPMS37++Wfs3r0bFy9e1NxeXV2Nb775Bt988w2uXLmCnJwcnNMpuCyl3nelqKgoPPDAA4q6dZ06dTIFGklJSXYNc1Q7ceKE3c+JNvYEyevkhYeHK4YwtmrVCq1bt65xfmpkZKSiuDhgW2mFY8eO4a233sKbb76JY8eOAbAezJWUlCiSqgSogxxvIB9KLAWp/v7mGlJ6F2/W3ov6nFy44Hj7CPE26s+KadPMQw916lq6VWKimM86erRYlv6GDQbb/xY5F0ldJDpzkIl7UTBHiBNxzpGamgpA1I6TLgzzZOPlpSQYmskMiE9RD8175JFH8OKLL2LEiBEAlHOeunTponscdcBgMBhw4cIFrF+/HtXV1YqEOXvkk+ohfrfWrVvn8HtwxKRJk3D77bdj2LBhmDhxomJbTclWJkyYgC5dujgtgAkNDQVgOaxVPqRSnWG0JvL5f/KkNdLP8/nnn8df//pXUyC5atUqU/C2bNkyGAwGm+cLAl6SBOlPfxLzX6ZNE8s19fTpbbd2h75lS5Q0b25e/u47cxFjQnyZwWCZ5EQKngDg3DnLIY+eIt2QKSsDDh4E5OVmkpKsP1dde274cKc2jTiGgjlCnOjkyZOmYZRRUVFoLr9wMZLm0FEwV7cMHz4cSUlJiI6ONl30y+uC6c2hA0Sqe7kdO3bgyy+/xF6NC93Tp08rkmukpqZi9+7dFvvpZW10Bj8/P9x6660YNmyYRSASHR2NYbLU9O1kQ3qee+45dO/eHZMmTcILL7zglLZI50Jdg602AZJ6/p90/Keffhovv/wyYmJiEBYWpltr7tKlS3YVV9cbYulWnTsDM2aIC1A1vWHAWu22FqT7+eH6bbcB8syha9bYN8SLEG/DuajPJjdzpvguv+nhhqRXFrRqT8rXrVplnv8WHQ3cd5/146lvjKlGMhDPoGCOECeSp0Vv0qSJ6c69FmvbiO/RCh7kAUZAQACef/75Go9TVVWlSC6iRSp3kZ2dbbp5oPbUU0/V+FqukmgMCMLCwjBhwgTMnj0bs2fPRqNGjUz7SD1qAPDGG2+gdevWDr2WNE9NPadMPlxy6tSpdh1TXUsQAMaMGYP4+HhERkbW+PySkhKLYE4vwUpUVBSaOFofzl30is4/9phyecAA2+buqWsQfvKJY+0ixBvcuAGcOmVefvll840O2ZB06HxWu5T0eSUv5q0uHTJ/vvlxWBig9b9DunGl91lAPIp+KoQ4kTR0LCAgAImJiYrekfaq1OHUM1e3aCWokAdzrVu3RkxMDJKTkxEREWFxcS/1MGnNGxsyZAhSUlJMwdC2bdtw9uxZzJs3D1d1UkrrBQ/u0KZNG/zP//wPXnnlFYSGhoIxZnF+/P390bx5czRr1gz+/v54UJ3uXoc6AYxez1zPnj1x7733Ytq0aWjTpo3d7+EWWbbG2bNnaxfs1nHlyhWLYK6goABvvPGGxb6JWj1h3mLMGKBRI+DWW7W3R0YC06eblzWKx2tSl22gRCjEl8mHKQLKeWRBQYCUtXrDBvcNtSwvBzZvBnJyxLL8/4HeDRcpYGvSBHj4YeW2//xHfKdgzit54axrQnyXlIRi9OjRYIwhPDzctK1Lly6mC/XAwEBTBj1SNwRqFEqWBzBNmzYFIGqbcc7h5+cHzjn+8Y9/oKysDPv27cPOnTtRUFBgcRypoHWnTp2wbds2HD582C0JT2pD63yoPWbs2bGaqVHmxIkTWLJkCUaOHIlBxmyLUjCndYxu3brZ2lwLo0aNQufOndG0aVOb2ydJS0vT7GkMCAjACy+8gIMHD5qKmVsrSu5xffuaL0T1yDPy2jq0dOBAQFan0OrQTEK8nXx+7J//LBIFycmuA/DTT8C994q6bsnJzs9CK/ntN2DHDvOyva+TnCz+9qU52iUlYjhpbq7z2kichkJsQpxIusCWgjj5UDJ5mnpnFUkmnjdu3Di0adMGPXv2tNgmDwKkx4wxUy8SYwxlxl6JtWvXIicnRzMVfpJxUno/WR0feVIUtbt8pHiruseuplIdGzduBABs3rwZGRkZ2Lx5M3KNFxfqnrnaknoOrc29e0w1zFB+g0avKHyDBg0Ucwp9/rPAkUBs8GBg6lTg9dfFRWZZme2BICHeRho+2aEDoBqBA0BZCsDfH/jsM+Drr4E333Rdm4xz800c+XxUZyZ+801AlhCqxmQpxG0omCPECVatWoWUlBRT4WYpmGvcuDHi4uLQq1cvU+8KUPNFK/EdPXv2xNSpUzV7ogICAtCtWzfNQE9yxx13aK4fPXo0UlJS8Mgjj5h+XyIiIhQJReT7yvXz0eKt8vehFeTIA6ulS5dih+zOsyeGlcoTHIWFhWHKlCmm5dVSHSYdUoCeVBcuiB54AOjVC1AVZdcVGAi0aSOGoElD0tRD1SR5eZ6r0VWT6mqR3U8aOrd9O2D8H0DqqOxs4OOPga1bgQsXEFBQYP791AuYmjYFpBqXJ04oe7eMpUycTt0Tp16+//6aj2Ft9NBDD4kv4hVobAMhtcQ5x8GDBxXrpAvLoKAgPPvss6b19913HzZv3oxx48a5tY3Ec2qqNdezZ09THUK5zp07a+4/ZcoUnDlzBt988w0A4IknnjD1TgHQLIztK+RDEw0Gg0WvmLXeN0+k97eWdEUtRJWyf8KECTh79myNpRx8Qtu24ssRYWEim96pUyIYlP8cs7OBefNExjxVMXev8NtvwK+/ioveCROALVvE+pQU97y+VMyduEd5ufh9BIDUVCA1FYmZmeYeKo3s1SZ6nw0nTyqTpNSGdAOMMcvAUr1sy80vxkTPu1aZlbg4mj/nRSiYI6SWyjQm7+ulGu/UqZOi4DIhwcHBePXVV7Fjxw7Ex8cjLi5OM0GKXOvWrfHyyy8jJycHTZs2VdQx1CqH4UsCAwNRWVmJ6upqU4BWUVGBU6dO6SZ7GTBggDubqPD444/jjz/+wIgRIzQzXSYkJKBr167oq5p7Fh0dbbXHtt6QhqOuXi2+HnnEfHGcmSm+5+SIpCnedvF49Kj4XlEBfP+9ef2KFWIoaXa2GGLnjBsNnIsSDoGB4vhXr4rgYvJkoEWL2h+/vquoEL1krVubM0CqqevIqVmbJ2ycM23SqJH4/Th4UPTs2pgAyqq5c8X8vOnTRZkBOfVwaFlmYQQHixsSxnnICo8/bk5+ImetniRxOwrmCKklaZ5cQEAAhgwZQhdoxG6hoaEYNWqUXc+JjIzUDB5sSZ3vzYKCglBZWYnS0lLTHLSlS5daLfzdsWNHdzXPQvPmza0G0DExMbhVLxsksfTVV8CLL4qLUdlNChw+DMiKubtFaSmwb5/oMVT/XVVV6aeaP3xYfEmc0VO3Zo1oi9qqVaJw87lzwF13UTIZR+3fD/zyi7iRIE/jL6muFkXuAZG1VetnLw+Q1AIDgVdfFT+foiIR4L//vth25owIzmtTouT6daCgQHxVVIhjyqmDL3n5lRYtgClTtHt5td5TQoL1wJW4nZfd5iLEN3DOce7cOVy7ds00b6dx48YYMmSIz19ME98jH+6nHs7na6T5gefPnzfNm7MWyA0ePBgtvLhn4sqVK55ugu+ZOxf49ltlNr5Vq4CLF13zehUV2vPyNmwQ6d2NQ5oV5HXFanL8uLjIzs1VBqjWyOeMFhVpB3IAcPMm8OOPIhiRB5DEPllZ4rvUG8y5CIgKC8Xw2bfeMu/bo4cYVtuqlXnd5MlAy5bWXyM0VARBDRtaDnNcsMCyZIetcnKATz81L1dXK4dG9uql/TwpKVvv3vrDdQMDRe+c5MEHgUcfdaydxGXoFg4hDsjIyMD38mE1UGauJMSdWhovIhISEjzcktqTboasWLECK1aswLRp03T3jY2NxW233eauptlEGiYqyaVU3tZFRIhgRU0rWPriC+CFFwBn1uisrhZFy/39geeeUw7llALx69fN6zgXPTT2BHOq/xWYMMF6spjr18XF+ahRooxDDcl0TFav1r9wJ5YuXRIlMkaPFols5A4dEjcQ1OLjgf79xe9J9+64FBGBpKFD9efEWdOvH7B7t3n5t9/E8Fx7rVihXM7PN9eMa9kS0PuMnDpV3GCw1qMIiLmAzz0n/k7rQsKmOoh65ghxwDWNIRa+3iNCfFd4eDhee+01PPHEE55uSq2pE5n89ttviuW//OUvCDAOJdNLEuNJ6nIFPl96wNU06vFZ9cEHzn39q1fFhe/NmyIRi5y8PpikrMy+QE7L6tWiN+XkSe3tUi/Lpk3iu95+Wry5bqE3uXBBlAg4cQL46CPltvnzxVw2Lc88owj4K2NiHAvkADEs9umnzctbtoif+b595rmkejgX76G01DIT7H/+I3qb/fxEL5rW7zEgbmDUFMhJGjWiQM6LUc8cIXb65ZdfsHPnTov1wfIx6IS4WV35/RswYAAOHDhgWj5+/Lhie3h4OF544QUcP34c3W1Nhe9GesmPiI6RI0UviD2qq52TVAQQwZkkPV3MH2rWTCzLysmYbN2qXA4OFolI7FFdLdLbA2IIW/Pmoh1lZcDly/YdSy0vD4iJqd0x6oMvv9TfpjcX0hUaNxaZWqXfB/nNq6efFtvlCgtFILdypZgnGRysn7CFAvt6g4I5QuyQnZ2tGcgFBQVR4hNCnCAuLk53m1SrMSIiwiI7pLcICQlBnz59sHfvXgDw6vl8XiEyUtS8Ug9FlFOnR6+sdF6GSPl8uA0bxPcHHhBzp+Q3EgwGMe9N/fkfGWkO5po1A/70J/t6Dy9eFD2Dy5drbz9yxPZjAeJiXx7MVVeLuXStWllmOKzrDhwAfv8duPdekbRDzs/PvmBn7FjAVSMBYmOBoUMtbxRkZiqDOc6Bf/9buU95uf7NBBotVG/UOMySMdacMZbKGDvGGDvKGJtpXJ/CGLvEGDto/LpL9pzXGGOnGWMnGGOjZevvMK47zRib5Zq3RIjr3Lx5U3P9q6++isTERDe3hpC6R127TW7SpElubInjRowYYXqsVxSeyHToAIwbBzz7rDIQuece4H/+B3jjDeX+ixfrFxm3h97wxW+/FT0k8qQo+flivZr8gpkxMZ9vxgzL4EHPxo36gRwgkpuoWftfs3ixeb4UAHz4IfDTT+b6aPVBdbW4OfDTT2K44hdfiPMszV/lXCQjAcw/p1atRE9su3bm40jDE5s0EXMRXTn6QWuu4/r14udWXi6Gfs6fb98xH3jAOW0jXs+WnrkqAC9zzvczxiIB7GOMGQdyYy7n/F/ynRljnQBMBtAZQFMAmxlj0l/HJwBGAcgCsIcxtppzfswZb4QQd8iX/5OU8UTBYkLqG18ZSipPhtTAmck66irGAGlkw7PPisyCV6+KC1yt4D4rS8wvuuee2r3ukiW277thg/Y8Jq0hbrGxwJNPAuvWKRNcOMPUqaLHScq+qFZZCcydCyYl0igoMK+vL7ZsUfaqVlWJHrrjx4EuXUQ9OWl+5PTp4rv894xzkRwlPl7UEpSG3bpSdDTQtau4SREcLNoIiFp0777r2DF9vOYosV2NPXOc8yuc8/3Gx4UAjgOw9ps9DsBSznk55/wcgNMA+hm/TnPOz3LOKwAsNe5LiM+QB3NUgoAQ12itkxTDVwIjxhjatm2LZs2aUZZbe/n7iwx8/fvrp0sHxHDC2qipALSafJinnLWkEPLU9QDw1FP2vaba448DbdqI7ItduojeTB2xv/9eu9fyZfLso3K5ucD27SL5jIQxy98zxkTvZ1CQuMlgLJfichMnitT/xvqadhs9WtwMAQAvHYZOXMOuOXOMsSQAPQHsAjAQwHOMsYcA7IXovcuFCPTkg8qzYA7+LqrW99d4jekApgOibldaWpo9TfRqRUVFder9eCtXnue0tDRkZWUhPDwcAwYMwK5duxAfH18vf670++we9fE8l5eXI1Oq92TUo0cP7Nq1y2Wv6ezz3LRpUwDAVvU8mHrO0fPcpKQEIbKL9NLKSlxz8OcVdewYYuzsGj9ENwAAIABJREFUMavIz0eQRpmJC/n5aGH8XS0rLsZVeZs4R1hSEoJzclDYvj2qjh9Hkur32h6ZZ86Yi0E3agTk5yOoc2eEX7iAyuhoNJLV5QuqqMD2tWvRXPZ6mfXkc6Tlli1gNmaRre05ccXnc+NduxDqQH3KnEOHUFheDgwbJlbUoZ93ffw/aA+bgznGWASAHwG8wDkvYIzNB/AWAG78/m8Aj1k5hE045wsBLASAPn368GHSL2UdkJaWhrr0fryVK8/zzp07kZSUhJdeeglRUVEYPXp0zU+qo+j32T3q43keOnQohg4dim+Nc5SSkpLwyCOPuPQ16+N59gSHz3P//sA//mFebtUKHR39eaWlWfaoDRkiao6ptWtnnlsnJRCRkmcMHYqk4cPFED4AaN4cHWpqUy2C+yRrx+ZcMfQyMzMTgysrFe/T6vPrioICcxDz2GPADz9Y7cWt7TlxyefG2bOW8/OaNhVJWBYs0H1a0sSJgJUEUr6MPp+ts6nOHGMsECKQ+5ZzvgIAOOfXOOfVnHMDgM8ghlECwCUA8oG6icZ1eusJ8QkVFRUoKytDQEAADbEkxIWkYYoTJkxAmzZtcP/993u6ScTTQkOVySnOnnXese++GxgxAlDfMPjzn4E+fSz3f/114OGHRQDoCtJQOTn5e9eiNSS1Ps2Tk+zZY36cmGieEycnDXf1wtImAERgLhkzRiTZuf12kYhF/X769RPv59VX62wgR2pmSzZLBuALAMc55+/L1stTNU0AkG58vBrAZMZYMGMsGUBbALsB7AHQljGWzBgLgkiSsto5b4MQ1ys2TpgODw+3mnGPEOIc3bt3x9SpU2neGRECA2t/jP37lcvPPmsO2OQ36V57DWjfXvs1AwKA5GTHyiNMmCC+33+//sV3XBygzoJqS+24J59ULoeF2d8+Xyel6e/RQ/Sgqm+8Dh8ugqK//hUYP9797bOFPJjr2xeYNcvcw9q0qXJO3Z13ivdDn5H1mi3DLAcCeBDAEcbYQeO61wH8mTHWA2KYZSaAJwGAc36UMbYMwDGITJjPcs6rAYAx9hyADQD8AXzJOT/qxPdCiEuVGFNhh9XHf5CEEOJpNRVkv3ABOH1aJB65elUkCVEX/pZqyUnk22NjgVGjgKgo8zA3e5JR2HKTr3t30S5/f/F+1MPmpk0T3/v3B375xbzelppoCQlASgqwbJmoUebLI0iqq0UB9cRE286rROqZkw+jffZZkfikSRPgllvEOl/+Pz5jhrneHN1YJrAhmOOc7wCg9duyzspz3gbwtsb6ddaeR4g3k/fMEUIIcTP1Z++1a+aiygaDCH4uXzbPfbtxw7J8gbrAsrpHY+BA5bI6mHus1qkBzD16TZqY17VvL3rr/IwDptQX6cnJth9fOq6vDrM0GIC33hKPO3USvWxaw0zT00UK//HjxbzGdu3MvVrymrBxcaJwuK+oKXlLZCTwt7+5py3EJ9iVzZKQ+ox65gghxIPUgdX8+aInCgCWLhWBnFx6ujKYU9eJs6Vuofo1W7Swqak269JFtLNLF3Mgp6VDB9uPKbX5xInatc1Tjh1TPj52TMwVM2aINZGKrR/TKFdsrbC6t7MlEyfVtiUyNiVAIaS+MxgM2Lt3LwDqmSOEEI/Qq/UGmDNOypWXi+LPkgMHlNttmYPnjHl61owdK4ZWduliua1TJ/H9zjvtG04nBXNa9dby84FTp+xvpzutXWu5Tj7kFBABsDVt2zqvPYR4OeqZI8QGv/76K7KMaZ+byIfGEEIIcY82bSzXbd0q5rjp2bIFeOgh8diRQtrOnjOndXy9XqQJE8TcuebNtbfr0UuGcf068Omn4vHDD4uhm1VVIp1/w4bOmX/FuSjI3qyZORDmXBTq/u03YOhQoEEDYNcuYNMmsd/58+b2cA5UVFge98IF4MgR4MoV4Nw5kYRGT3Kyb88ls7FGHiESCuYIscHRo+ZcPcn2zF0ghBDiHLGxlutSU60/Rxq6aEsCES2eHM4WGAi0bGn/8/SGj0qBHABkZADx8cA//2le99hjtR9GevAg8NNP4vHs2SIwe/dd8/YLF4CRI4H168Xy+fPi+6JFouTDe++J5CfBwSIZzZo15uf++KPl6yUlif0vXjSvGzy4du/B0yiYI3aiYI4QGxiMFwJjx45FlLW7wIQQQjwrNBQoLRWPpWBOWrYXY+bC4WPHOqd9rmZLb+KuXZaB6pdfAq+8IhLNONqzJR/Kmp4uetHkcnL0h0i+8475cXg40Ls3UFYGbN6svX9MjOjRY0wEQFu3imGk6oLwvoaCOWInCuYIqYHBYEBhYSEAoFu3bh5uDSGE1GOTJ4sLdqlnR8tf/wq8+aZ4zBhQUmLuAXLElCmih8meIZeelJBQ8z6A9rDTf/1LZAh9+mnHXvvCBfNjrZ40ADhqQ1WqSZPEz27QIPElJbqRa9TIHHQyBgwbZm9rCakTKAEKITU4ffo0DAYDwsPDEWBtnD4hhBDX6tBBzCMbMUJ7+113iQt7qSD3iRPA11+L2mu1YUsg5y3ztPz9kSPVU3PEtWvi6+OPzXXbbKEu+yDXtav+kFF1T9ott1hmrnz+ecvnjRple9t8CfXMETtRMEdIDTIyMgCYh1oSQgjxMPm8sOhoEWz17Qv06yfWde9u3n71qnvb5gUMtb3xOH++GBKplVlST3a2/raxY0WyE8mtt4qfkb+/CMDlpJ+hXEwM8MQTIlHLjBmip04K2OsaCuaInaibgZAaSPXlRo4c6eGWEEIIAQBERJgfv/ii5fa2bbXnWkl13eo4Lp8P5+8vkoS40vLl5vMaESEKoH/9tfg53H67SOYyeDBQWCgSrwweLIKWu+8W2xISRKZKQARuWpo1A2bOdO37IMQHUTBHSA2KiooAAHF19S4gIYT4mo4dRU+cXnZhvfT89aTYclnTpuZ5gjNnmss3lJcDP/wAnD5t+8FKSoCwMP3tRUXKADk5WZRTeP115dDT0FBg4kTzMmPm8gX33SeO0b+/7e2qq6hnjtiJhlkSUgMpmIuQ3wkmhBDiOX5+wJgx5sLaapGR+s+rBwzBwSKJyfPPK+vwBQcDU6dqP0keaMnduGH9xdQZK++5R3y3Zw5hw4ait85XkswQ4kXqx6caIQ7inFMwRwghvoYxkdVSrT4lsWrcWH/IYt++4nu/fiJz5KhRYgiqluJi8f3SJSAry3K7VFeuWTMxl40Cstqhnjlip3r0qUaI/S5evIiqqiqEhIQgiP5BEUKI75APtfTzE4XDBw+2L0OjPbwlm6UtbrtNDIVs1w4ICTGvl9fokyxbJoY/7tolll95xTxnsawMqKoSj/v0cX276wMK5oidKJgjRAfnHIsWLQIAdO3a1cOtIYQQYhfGxJC/igoRjFRVUa+RJCQE0Kqb+uSTwAcfWK6XAjkA2LQJmDBB9NR99plYFx4O9OzpmrYSQqyiYI4QHZmZmag2ZgDrpDcvgxBCiPfq3dv8mAK5mjVoIIZKlpUBK1YAJ09a7nPokBiWKQVygPUac8Q+1DNH7ERz5ohXKygoQJU0hMNNDAYDUlNTsdmY1rpRo0ZI1suYRgghhNQ1ISHAvffqb//Xv5TLQ4e6tj31CQVzxE4UzDlBaWmp2wOO+iAzMxPvv/8+NmzY4NbXPXbsGLZu3YpLly4BAPpKE8UJIYQQPb40Z84WISHAww/XvN/QoWIuInEOCuaInSiYq4VLly7hwIEDmDt3LpYtW+bp5rhERUUFcnNzUVFR4fbXXr9+PQBgz549OHfunGnIo6sVS5m7jHr06OGW1yWEEEK8inxUilbtvl69qFeOEA+jOXO18JlsvPjJkydRWVmJQKkAZh1gMBgwZ84cGAwGREVF4aWXXnLba3POce3aNdPyokWLEBcXh2effdYtry1p3bo1goODXf6ahBBCiFd66ikgO1uULkhJUW676656U7vPbahnjtiJ/gIdpNVTdaOmwpo+pqSkBAaDAYCYu5aZmWmxz7Vr13DhwgXFOs45Lly4UKvevPT0dIt1N27cQKk6ZbILXLx40fR4yJAhLn89QgghxGs1aWKuQXfnneb1o0bVr7p97kLBHLETBXMOKigosFgnFZeuK+Q9YwDw1VdfYfPmzaiurkZ1dTVSUlIwf/58LFq0CGVlZab9tm/fji+//BLvvfeeQwFuQUEBTp8+bVqOiooyPT5z5owD78R2eXl5OHfuHADgueeeQ8uWLV36eoQQQuqIujZnTkuvXubHDRt6rh11WceO4nubNp5tB/EZdEvFTjdv3sT58+eRn58PAGjatCkqKytx48YNrFmzBi+++CJYHflA/+abbyzW7dixA9euXcOwYcNM66qrq5GXl4f4+HiUlZXh119/BQBUVVXhk08+QXR0NJ5++mmEyAuTarh58yZ++eUXnJSlQr711ltx++2344cffsDRo0exfPlyXLt2DR06dECzZs1M++Xn52P79u0YMGCAw+83JycHH3/8sWk5MjLS4WMRQgghdU5goEiKcv060L69p1tTN40eDcTH0/klNqNgzk67d+/Gzp07TcudOnVCfHw8vvvuOxQUFCA1NRUjRoxwa5s451i5ciX8/Pwwbtw4pwST3Eo3/6lTp9C0aVPFury8PCxYsEBz//z8fFy4cAHt2rWz+poHDhxQBHIATAFb9+7dcfToUQCi52/79u2YMWMGYmNjAYjAMzs7GwcOHMBgB7NqHTt2TLEcRDWJCCGEEKXkZGViFOJc/v5Anz6ebgXxITTM0k6JiYmK5b59+yqClG3btlkNhFxh8eLFOHz4MA4ePIiSkhKnHFM+bPLuu++2mDu2detWxfLSpUutHs+WADM7O9tiXUfjcAOtQPD7779HXl4eUlJSTM+trq5Gbm4uNmzYgNzc3BpfUy4nJ8fuNhNCCPEx0o26Bg2ce1z6n0EI8QAK5uwkH9rXoEEDU6bDu+66y7T++vXrLm9HXl4eysvLUVpaqphHVlhY6JRgUpoTGBcXhz59+uim51f30MnNnj0bcXFxACwDJTXOOc6ePQsAGDlypGm9nyxL1qOPPqp4zvXr1zFv3jyLY/3000/4448/8Pnnn9t8Lqqrq3Hw4EHT8rRp02x6HiGEEB/z+ONA167ApEmebgkhhNRajcEcY6w5YyyVMXaMMXaUMTbTuD6GMbaJMXbK+L2hcT1jjH3EGDvNGDvMGOslO9bDxv1PMcZsqETpfRrI7uQNGjTI9Lhfv35o27YtAODbb791aU20kpISzJs3D++++y7mz5+v2LZgwQJ88803tQ7opGBOSj4SExODp556Ck8//bRiv6E69WWGDh0KxhgGDhwIABYZL+U451izZg3Ky8sREBCAbt26AQCaNGmi2K9ly5Z47LHH8PLLL5vWWSvWXlxcjPLyct3tcocPHzY9nj59ukUPLCGEkDqicWNg4kTn98wRQogH2DJnrgrAy5zz/YyxSAD7GGObADwCYAvnfA5jbBaAWQBeBXAngLbGr/4A5gPozxiLATAbQB8A3Hic1Zxz+8bCeRhjDKNHj0Z2djZ6ybM6Abjjjjtw8eJFFBQU4Oeff8b48eNd0oacnBxTEKOVVfPs2bMoKChAdHS0w69x6dIlAMpMklJw1aVLF6Snp2PatGlITEzE3XffjTVr1gAQwyIHDhyIhIQEADC14fz586iursb/t3f/sVWVeR7H319aSoFSWkC6rS0gFXGNgGB/oKMOlqIGUTQaNW5X8EcmxpWsMZMNxpiY3WycnXWNuxkzLsvMOiyjxjjOTGE0yLLWCFh+roDIbkHCj0pBoFuxlWJJn/3jnHu9/Unbe3rvPe3nlZz03OfePud5vlzuud+e53lOWlpah+NcuHCBl156Kfp46tSpZGdns3Llym7v2TdlyhQAKioqogut5ObmsmLFCqqrqztcXQMvPiNHjmTdunVkZmYyYcIEzp49y9ixY8nJyWH27Nk456ipqQG8BVd6u9ooIiIiIpIqLpnMOecagAZ//1szOwBcDiwFFvgv+w1Qg5fMLQXWOO/SUK2Z5ZhZvv/ajc65RgA/IbwDeCvA/iRETysmTpw4kcrKStavXx9NhgZDd8v9jxkzpsN8ue3bt5Oens6cOXOYMGFCv49x8OBBAGZ2s5rS/fffz/0xw1NKSkq4+uqr2bZtG9deey15eXnR5yLDUFtaWqitrY1eqQPvilxsIgdQVFQEcMmVL8vLyxk/fjw5OTnk5+czYsQI5s6dy/79+ykoKGDKlCkcO3aMzZs3M2/evC5JXkR+fj4NDQ3R1UkjxxcREekXzZkTkSTo12qWZjYNmAtsA/L8RA/gJBD5Bn85cDzm1+r9sp7Kh5TZs2ezfv16Tp8+TWtr6yWTkoGor6/vUlZZWUl1dXX08ZYtWwBvoZJx48Zx++23c23kpp99ELlnXmxi1pusrCwWLlzYpTySzIGXYObm5nLkyBEKCwu7LHgyefJkysvL+3S8UaNGMWfOnA5lU6dO5fnnn6empobvvvuOY8eOsXfv3l6HTL722msdHhcXF/fp+CIiIiIiydbnZM7MsoDfAc84587FrvTnnHNmFsgSjmb2E+An4CUSkeFvYXLy5ElaW1tZtWpVdP4XePPG1q1bR1ZWVlwrJX7yySecPn2ayspKdu7cyYgRIzhz5gzffPNNjys47tu3j+XLl/epfucc+/bto729nZ07d3Y73LGvzp8/z5EjR6KP9+zZ0+3r7r33XrKzs9m2bduAjxXR3NxMRkZG9Lhr1qzp0w3dH3zwQbZu3Rr38YeL5ubmUP7/DBvFOTEU58QYinGe5p9rvmtr4+sU6dtQjHMqUpwTQ3HuXZ+SOTMbiZfI/dY5955ffMrM8p1zDf4wysgSjl8BsWPVCv2yr/hhWGakvKbzsZxzq4BVACUlJS725tRh0dLSwo4dOwDvClJ5eTnff/89b7zxBtOmTYu+7qmnnmLy5Mn9rn/79u2MHTuWJUuWUFVVFS2/9dZbaW9v7zJ0MeKmm25i165dzJw5s8NCLp21trby8ccfk5GRwaJFi/rdvljOOU6ePMnRo0d7fM3kyZNZunRpXMeJVVNTw4IFCzhy5AgnTpwAYNKkSTz66KMUFRVx6tQpLl68yDvvvMO3334LEJ3/J30XibMMLsU5MRTnxBiScY58yZwxg2tSpG9DMs4pSHFODMW5d31ZzdKAXwEHnHOvxDxVDURWpFwG/DGm/BF/Vcv5wDf+cMwNwG1mluuvfHmbXzbkROaZNTY2smHDBmpra6NJQ6y3336b9vZ23nzzTdatW9enurdu3RqdGzdu3LgOz40cOZJRo0bx8MMPR8ti54BVV1fzwQcf8Oqrr/a42qZzLnrz7M71D4SZXfKK4F133RX3cbozevToDo+nTp3KiBEjyM/Pp6ioiKeffprnnnuOF198UYmciIjER3PmRCQJ+nKfuR8BfwlUmNln/rYY+BmwyMwOApX+Y4D3gcPAIeDfgKcA/IVP/g7Y4W9/G1kMZaiJvfoGcOLECc6fP9/ldY2NjaxevZq6ujp27dpFW1vbJeveuHFjdL/zypARV111FStWrOCFF17g8ccfJysrC+i4/P6BAwe6/d2XX345OvcucsPueEVWAAXvvnSxi6eUl5cP2qIjZWVl0f1nnnmmy/OjRo3qMKdPRERERCRM+rKa5Wagpz83dVnxwl/F8q96qOvXwK/708AwSk9P54knnmD16tWAd4PvSDI3Y8YMysvLWbt2LUB0GCB4wxsj89OamppYv349eXl5LFy4MHrz7NzcXBobG5k/f36vbZg4cWJ0PzMzs8ucsYaGhi4LorS1tdHS0hJ9PGvWrH71uzc33HADpaWlpKd7b7nW1lbq6uqoqKgI7BidzZw5kyeffJKcnJxBWYhGRERERCSZ+rWapfRdYWEhVVVVrF27lvr6et56y7sDQ1ZWFsXFxUyaNKnLao4tLS189NFH7N69O1p26NAhMjMzufnmm3HORYdr9mfscEFBQZdjNTQ0dHldU1NTh8cDmc/Xm0giB97tDEpKSgKtvzudbzwuIiIiIjJU9GWYpQzQlVde2aUsLy8PM6OqqoqKiooOCc3rr7/eIZGLiAyJbGpqoq2tjaysrH5daep8hS0tLY3Dhw93Sehik7nly5fHteKmiIjIsKJzpogkgZK5QRZ7NQp+WJAkJyeHW265hSVLlnD33Xf3WsfZs2dxzkVv5N3Xe79FzJgxIzqPb/r06cybNw/oOm8ucluD66+/vsu8PxERERERSS0aZjnInn32Wc6dO0d7ezubNm3i8su73id97ty5NDY2cuHCBS677DLef/99wEv4Ll68SHNzM5s3b2bTpk2At8x+fy1btozDhw8zceJEjh8/zo4dO9i/fz8LFiyIzseLJHO5ubkD7a6IiIiIiCSIkrlBNmbMGMaMGQPQ46qNZkZlZWWHx59//jkPPfQQW7Zs6ZDIAVy8eLHf7TAziouLAW/e3ujRozl79iy1tbWcOXOGiooKzp07B8D48eP7Xb+IiIiIiCSWkrkUVFpaSmlpKQBTpkzp8nxBQUFc9aenp5Obm8v58+f58MMPAdi9e3f0ilwQ95cTEREZVjRnTkSSQHPmUlznq3mlpaWB3DLg1KlTXcoiwyyzs7Pjrl9ERERERAaXkrkUN3r0aKZPnx59fOedd5KRkRF3vbF1dpaTkxN3/SIiIiIiMriUzIXAAw88wKxZs1i2bFlgdd5zzz3R/YULf7j3e1FRUXRBFBERERERSV2aMxcCmZmZ3HfffYHWOXbsWBYvXkxdXR3z58/nxhtvZM+ePd3O0RMRERERkdSjZG4YKysro6ysLPo4cv85ERERERFJfRpPJyIiIhIvrWYpIkmgZE5ERERERCSElMyJiIiIiIiEkJI5ERERERGREFIyJyIiIhIvzZkTkSRQMiciIiIiIhJCSuZERERE4uVcslsgIsOQkjkRERGRgSoo8H7OmZPcdojIsKSbhouIiIgM1GOPwdGjcMUVyW6JiAxDSuZEREREBio9HYqLk90KERmmNMxSREREREQkhJTMiYiIiIiIhJCSORERERERkRBSMiciIiIiIhJCSuZERERERERCyFwK3+TSzE4DR5PdjgBNAs4kuxHDgOKcGIpzYijOiaE4J4binBiKc2IozomhOMNU59xl3T2R0sncUGNmO51zJclux1CnOCeG4pwYinNiKM6JoTgnhuKcGIpzYijOvdMwSxERERERkRBSMiciIiIiIhJCSuYSa1WyGzBMKM6JoTgnhuKcGIpzYijOiaE4J4binBiKcy80Z05ERERERCSEdGVOREREREQkhJTMxcnMiszsIzP7wsz2m9lf++UTzGyjmR30f+b65WZm/2Jmh8xsr5nNi6lrmf/6g2a2LFl9SkVBxdnMrjOzT/069prZg8nsVyoJ8r3sP59tZvVm9otk9CdVBfyZMcXMPjSzA35905LTq9QTcJx/7tdxwH+NJatfqWYAcb7a/wy+YGY/7VTXHWb2v/6/wcpk9CdVBRXnnuoRT5DvZ//5NDP7bzNbn+i+pLKAPzdyzOxdM/sf/zP6hmT0Kamcc9ri2IB8YJ6/Pw6oA64Bfg6s9MtXAv/g7y8GPgAMmA9s88snAIf9n7n+fm6y+5cqW4BxvgqY4e8XAA1ATrL7lwpbUDGOqe+fgTeBXyS7b6m0BRlnoAZY5O9nAWOS3b9U2QL8zLgR2AKk+dunwIJk9y9VtgHEeTJQCvw98NOYetKAL4HpQAawB7gm2f1LlS3AOHdbT7L7lypbUHGOqe9Z/zy4Ptl9S6UtyDgDvwGe8PczGIbf6XRlLk7OuQbn3G5//1vgAHA5sBTvDYb/8x5/fymwxnlqgRwzywduBzY65xqdc/8HbATuSGBXUlpQcXbO1TnnDvr1nAC+Brq9CeNwE+B7GTO7HsgDPkxgF0IhqDib2TVAunNuo19Xs3Puu0T2JZUF+H52QCbel4RRwEjgVMI6kuL6G2fn3NfOuR1AW6eqyoBDzrnDzrnvgbf9OoTg4txLPUKg72fMrBC4E1idgKaHSlBxNrPxwC3Ar/zXfe+ca0pIJ1KIkrkA+UOc5gLbgDznXIP/1Em8L7bgvVmPx/xavV/WU7l0EmecY+spw/uC9uUgNjeU4omxmY0A/gnoMuREOorzvXwV0GRm7/nDeP7RzNIS0vCQiSfOzrlPgY/wruI3ABuccwcS0OzQ6WOce6JzYB/FGeee6pFOAojzq8DfAO2D0b6hIs44XwGcBv7dPw+uNrOxg9XWVKVkLiBmlgX8DnjGOXcu9jnnnMP7667EKag4+39x/w/gUeecPmhjBBDjp4D3nXP1g9TEISGAOKcDN+MlzaV4w9OWB9/ScIs3zmZ2JfDnQCFeclFhZjcPUnNDS+fAxAjwHNhjPRLI58YS4Gvn3K7Ba2X4BXQenAf80jk3F2jBG545rCiZC4CZjcR7M/7WOfeeX3wqZshZPt5wPoCvgKKYXy/0y3oqF19AccbMsoE/Ac/7w6nEF1CMbwCeNrMjwMvAI2b2swQ0PzQCinM98Jk/LO0i8Ae8k5r4AorzvUCtP4y1GW9e3fCbYN+Lfsa5JzoHXkJAce6pHvEFFOcfAXf758G38f4ItHaQmhxKAcW5Hqh3zkWuLr/LMDwPKpmLk5kZ3ljdA865V2KeqgYiK1IuA/4YU/6IeeYD3/iXlDcAt5lZrr96z21+mRBcnM0sA/g93tyYdxPU/FAIKsbOub9wzk1xzk3Du2q0xjk37P5S1pMAPzN24M3risz5rAC+GPQOhESAcT4G/NjM0v0vHz/Gm98hDCjOPdkBzDCzK/zP6Yf8OoTg4txLPUJwcXbOPeecK/TPgw8B/+WcqxqEJodSgHE+CRw3s5l+0UKG43nQpcAqLGHegJvwLgPvBT7zt8XARGATcBD4T2CC/3oDXsObp7UPKImp6zHgkL89muy+pdIWVJyBKrwJtJ+WBZXZAAAA0ElEQVTFbNclu3+psAX5Xo6pczlazXLQ4gws8uvZB7wBZCS7f6myBfiZkQb8K14C9wXwSrL7lkrbAOL8Z3h/TT8HNPn72f5zi/FWtfsSb+RE0vuXKltQce6pnmT3L1W2IN/PMXUuQKtZDlqcgeuAnX5df2AYrgRvfiBEREREREQkRDTMUkREREREJISUzImIiIiIiISQkjkREREREZEQUjInIiIiIiISQkrmREREREREQkjJnIiIiIiISAgpmRMREREREQkhJXMiIiIiIiIh9P8RK50UITXbwQAAAABJRU5ErkJggg==\n", "text/plain": [""]}, "metadata": {"needs_background": "light"}, "output_type": "display_data"}], "source": ["trds = dt[:\"2008\"]\n", "tsds = dt[\"2009\":]\n", "print (dt.shape, trds.shape, tsds.shape)\n", "plt.figure(figsize=(15,3))\n", "plt.plot(trds.index.values, trds.Rate.values, color=\"black\", lw=2, label=\"train\", alpha=.5)\n", "plt.plot(tsds.index.values, tsds.Rate.values, color=\"red\", lw=2, label=\"test\", alpha=.5)\n", "plt.grid();\n", "plt.legend();"]}, {"cell_type": "markdown", "metadata": {}, "source": ["### Create `X` and `y` matrices for train and test"]}, {"cell_type": "code", "execution_count": 426, "metadata": {}, "outputs": [], "source": ["Xtr, ytr = trds[[i for i in trds.columns if i!=\"Rate\"]].values, trds.Rate.values\n", "Xts, yts = tsds[[i for i in tsds.columns if i!=\"Rate\"]].values, tsds.Rate.values"]}, {"cell_type": "code", "execution_count": 427, "metadata": {}, "outputs": [{"data": {"text/html": ["\n", "\n", "
\n", " \n", " \n", " | \n", " Rate_0 | \n", " Rate_1 | \n", " Rate_2 | \n", " Rate_3 | \n", " Rate | \n", "
\n", " \n", " Date | \n", " | \n", " | \n", " | \n", " | \n", " | \n", "
\n", " \n", " \n", " \n", " 1999-09-10 | \n", " 2068.55 | \n", " 2078.17 | \n", " 2091.05 | \n", " 2093.84 | \n", " 2087.55 | \n", "
\n", " \n", " 1999-09-13 | \n", " 2078.17 | \n", " 2091.05 | \n", " 2093.84 | \n", " 2087.55 | \n", " 2062.96 | \n", "
\n", " \n", " 1999-09-14 | \n", " 2091.05 | \n", " 2093.84 | \n", " 2087.55 | \n", " 2062.96 | \n", " 2047.08 | \n", "
\n", " \n", " 1999-09-15 | \n", " 2093.84 | \n", " 2087.55 | \n", " 2062.96 | \n", " 2047.08 | \n", " 2040.93 | \n", "
\n", " \n", " 1999-09-16 | \n", " 2087.55 | \n", " 2062.96 | \n", " 2047.08 | \n", " 2040.93 | \n", " 2047.17 | \n", "
\n", " \n", "
\n", "
"], "text/plain": [" Rate_0 Rate_1 Rate_2 Rate_3 Rate\n", "Date \n", "1999-09-10 2068.55 2078.17 2091.05 2093.84 2087.55\n", "1999-09-13 2078.17 2091.05 2093.84 2087.55 2062.96\n", "1999-09-14 2091.05 2093.84 2087.55 2062.96 2047.08\n", "1999-09-15 2093.84 2087.55 2062.96 2047.08 2040.93\n", "1999-09-16 2087.55 2062.96 2047.08 2040.93 2047.17"]}, "execution_count": 427, "metadata": {}, "output_type": "execute_result"}], "source": ["trds[:5]"]}, {"cell_type": "code", "execution_count": 428, "metadata": {}, "outputs": [{"name": "stdout", "output_type": "stream", "text": ["[[2068.55 2078.17 2091.05 2093.84]\n", " [2078.17 2091.05 2093.84 2087.55]\n", " [2091.05 2093.84 2087.55 2062.96]\n", " [2093.84 2087.55 2062.96 2047.08]\n", " [2087.55 2062.96 2047.08 2040.93]\n", " [2062.96 2047.08 2040.93 2047.17]\n", " [2047.08 2040.93 2047.17 2060.87]\n", " [2040.93 2047.17 2060.87 2065.02]\n", " [2047.17 2060.87 2065.02 2061.61]\n", " [2060.87 2065.02 2061.61 2080.33]]\n", "[2087.55 2062.96 2047.08 2040.93 2047.17 2060.87 2065.02 2061.61 2080.33\n", " 2085.85]\n"]}], "source": ["print (Xtr[:10])\n", "print (ytr[:10])"]}, {"cell_type": "code", "execution_count": 429, "metadata": {}, "outputs": [{"data": {"text/html": ["\n", "\n", "
\n", " \n", " \n", " | \n", " Rate_0 | \n", " Rate_1 | \n", " Rate_2 | \n", " Rate_3 | \n", " Rate | \n", "
\n", " \n", " Date | \n", " | \n", " | \n", " | \n", " | \n", " | \n", "
\n", " \n", " \n", " \n", " 2009-01-01 | \n", " 3079.180176 | \n", " 3079.180176 | \n", " 3140.934326 | \n", " 3193.720215 | \n", " 3197.497070 | \n", "
\n", " \n", " 2009-01-02 | \n", " 3079.180176 | \n", " 3140.934326 | \n", " 3193.720215 | \n", " 3197.497070 | \n", " 3093.394775 | \n", "
\n", " \n", " 2009-01-04 | \n", " 3140.934326 | \n", " 3193.720215 | \n", " 3197.497070 | \n", " 3093.394775 | \n", " 3029.256836 | \n", "
\n", " \n", " 2009-01-05 | \n", " 3193.720215 | \n", " 3197.497070 | \n", " 3093.394775 | \n", " 3029.256836 | \n", " 3029.256836 | \n", "
\n", " \n", " 2009-01-06 | \n", " 3197.497070 | \n", " 3093.394775 | \n", " 3029.256836 | \n", " 3029.256836 | \n", " 2914.927246 | \n", "
\n", " \n", "
\n", "
"], "text/plain": [" Rate_0 Rate_1 Rate_2 Rate_3 Rate\n", "Date \n", "2009-01-01 3079.180176 3079.180176 3140.934326 3193.720215 3197.497070\n", "2009-01-02 3079.180176 3140.934326 3193.720215 3197.497070 3093.394775\n", "2009-01-04 3140.934326 3193.720215 3197.497070 3093.394775 3029.256836\n", "2009-01-05 3193.720215 3197.497070 3093.394775 3029.256836 3029.256836\n", "2009-01-06 3197.497070 3093.394775 3029.256836 3029.256836 2914.927246"]}, "execution_count": 429, "metadata": {}, "output_type": "execute_result"}], "source": ["tsds[:5]"]}, {"cell_type": "code", "execution_count": 430, "metadata": {}, "outputs": [{"name": "stdout", "output_type": "stream", "text": ["[[3079.18017578 3079.18017578 3140.93432617 3193.72021484]\n", " [3079.18017578 3140.93432617 3193.72021484 3197.49707031]\n", " [3140.93432617 3193.72021484 3197.49707031 3093.39477539]\n", " [3193.72021484 3197.49707031 3093.39477539 3029.25683594]\n", " [3197.49707031 3093.39477539 3029.25683594 3029.25683594]\n", " [3093.39477539 3029.25683594 3029.25683594 2914.92724609]\n", " [3029.25683594 3029.25683594 2914.92724609 2969.78344727]\n", " [3029.25683594 2914.92724609 2969.78344727 2954.19067383]\n", " [2914.92724609 2969.78344727 2954.19067383 2983.23510742]\n", " [2969.78344727 2954.19067383 2983.23510742 2923.44677734]]\n", "[3197.49707031 3093.39477539 3029.25683594 3029.25683594 2914.92724609\n", " 2969.78344727 2954.19067383 2983.23510742 2923.44677734 2923.44677734\n", " 2913.42114258 2897.17138672 2885.69604492 2940.19921875 2941.0378418\n", " 2941.0378418 2878.10864258 2848.63378906 2873.06689453 2828.56445312]\n"]}], "source": ["print (Xts[:10])\n", "print (yts[:20])"]}, {"cell_type": "markdown", "metadata": {}, "source": ["### convert target into classification task for TREND PREDICTION (1 up, 0 down)"]}, {"cell_type": "code", "execution_count": 431, "metadata": {}, "outputs": [{"name": "stdout", "output_type": "stream", "text": ["[0 0 0 0 1 1 1 0 1 1 1 1 1 1 1 1 0 0 1 0]\n", "[1 0 0 0 0 1 0 1 0 0 0 0 0 1 1 0 0 0 1 0]\n"]}], "source": ["yts = (yts>Xts[:,-1]).astype(int)\n", "ytr = (ytr>Xtr[:,-1]).astype(int)\n", "print (ytr[:20])\n", "print (yts[:20])"]}, {"cell_type": "markdown", "metadata": {}, "source": ["### inspect target class distributions"]}, {"cell_type": "code", "execution_count": 432, "metadata": {}, "outputs": [{"name": "stdout", "output_type": "stream", "text": ["1's in train 45.04%\n", "1's in test 41.72%\n"]}], "source": ["print (\"1's in train %.2f%s\"%(np.mean(ytr)*100, \"%\"))\n", "print (\"1's in test %.2f%s\"%(np.mean(yts)*100, \"%\"))"]}, {"cell_type": "markdown", "metadata": {}, "source": ["### train a predictive model"]}, {"cell_type": "code", "execution_count": 436, "metadata": {}, "outputs": [], "source": ["from sklearn.ensemble import RandomForestClassifier\n", "from sklearn.svm import SVC\n", "from sklearn.naive_bayes import GaussianNB\n", "from sklearn.tree import DecisionTreeClassifier\n", "from sklearn.linear_model import LogisticRegression\n", "from sklearn.decomposition import PCA\n", "from sklearn.pipeline import Pipeline\n", "estimator = RandomForestClassifier(n_estimators=5, max_depth=30)\n", "#estimator = DecisionTreeClassifier(max_depth=2)\n", "#estimator = LogisticRegression()\n", "#estimator = Pipeline(((\"pca\", PCA(n_components=2)), (\"estimator\", estimator)))\n", "estimator.fit(Xtr,ytr);"]}, {"cell_type": "markdown", "metadata": {}, "source": ["### get predictive accuracy in train and test"]}, {"cell_type": "code", "execution_count": 437, "metadata": {}, "outputs": [{"name": "stdout", "output_type": "stream", "text": ["train accuracy 0.92\n", "test accuracy 0.52\n"]}], "source": ["print (\"train accuracy %.2f\"%estimator.score(Xtr,ytr))\n", "print (\"test accuracy %.2f\"%estimator.score(Xts,yts))\n"]}, {"cell_type": "markdown", "metadata": {}, "source": ["### inspect confusion matrix"]}, {"cell_type": "code", "execution_count": 438, "metadata": {}, "outputs": [{"data": {"text/plain": ["Text(0.5, 1, 'Confusion Matrix')"]}, "execution_count": 438, "metadata": {}, "output_type": "execute_result"}, {"data": {"image/png": "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\n", "text/plain": [""]}, "metadata": {"needs_background": "light"}, "output_type": "display_data"}], "source": ["from sklearn.metrics import confusion_matrix\n", "import seaborn as sns\n", "\n", "cm = confusion_matrix(yts, estimator.predict(Xts))\n", "sns.heatmap(cm,annot=True,cbar=False, fmt=\"d\")\n", "plt.ylabel('True Label')\n", "plt.xlabel('Predicted Label')\n", "plt.title('Confusion Matrix')\n"]}, {"cell_type": "markdown", "metadata": {}, "source": ["## A strategy\n", "\n", "- if model predicts 1 (price up) we buy 10 EUR today and sell them tomorrow\n", "- if model predicts 0 (price down) we sell 10 EUR today and buy them tomorrow"]}, {"cell_type": "code", "execution_count": 439, "metadata": {}, "outputs": [], "source": ["def trade(d, date_close, op, qty):\n", " assert op in [\"buy\", \"sell\"]\n", " assert qty>=0\n", " \n", " r = (d.loc[:date_close].iloc[-2].Rate-d.loc[date_close].Rate)*qty \n", " if op==\"buy\":\n", " r = -r\n", " return r"]}, {"cell_type": "markdown", "metadata": {}, "source": ["example: a **buy** operation on 2011-01-03 closed (with a sell operation) on 2011-01-04"]}, {"cell_type": "code", "execution_count": 440, "metadata": {}, "outputs": [{"data": {"text/plain": ["701.0498039999675"]}, "execution_count": 440, "metadata": {}, "output_type": "execute_result"}], "source": ["trade(tsds, \"2011-01-04\", \"buy\", 100)"]}, {"cell_type": "code", "execution_count": 441, "metadata": {}, "outputs": [{"data": {"text/plain": ["-77.17285099997753"]}, "execution_count": 441, "metadata": {}, "output_type": "execute_result"}], "source": ["trade(tsds, \"2011-01-05\", \"buy\", 100)"]}, {"cell_type": "code", "execution_count": 442, "metadata": {}, "outputs": [{"data": {"text/html": ["\n", "\n", "
\n", " \n", " \n", " | \n", " Rate_0 | \n", " Rate_1 | \n", " Rate_2 | \n", " Rate_3 | \n", " Rate | \n", "
\n", " \n", " Date | \n", " | \n", " | \n", " | \n", " | \n", " | \n", "
\n", " \n", " \n", " \n", " 2011-01-02 | \n", " 2528.971680 | \n", " 2528.971680 | \n", " 2618.146240 | \n", " 2567.137939 | \n", " 2520.103760 | \n", "
\n", " \n", " 2011-01-03 | \n", " 2528.971680 | \n", " 2618.146240 | \n", " 2567.137939 | \n", " 2520.103760 | \n", " 2520.103760 | \n", "
\n", " \n", " 2011-01-04 | \n", " 2618.146240 | \n", " 2567.137939 | \n", " 2520.103760 | \n", " 2520.103760 | \n", " 2527.114258 | \n", "
\n", " \n", " 2011-01-05 | \n", " 2567.137939 | \n", " 2520.103760 | \n", " 2520.103760 | \n", " 2527.114258 | \n", " 2526.342529 | \n", "
\n", " \n", " 2011-01-06 | \n", " 2520.103760 | \n", " 2520.103760 | \n", " 2527.114258 | \n", " 2526.342529 | \n", " 2478.751709 | \n", "
\n", " \n", "
\n", "
"], "text/plain": [" Rate_0 Rate_1 Rate_2 Rate_3 Rate\n", "Date \n", "2011-01-02 2528.971680 2528.971680 2618.146240 2567.137939 2520.103760\n", "2011-01-03 2528.971680 2618.146240 2567.137939 2520.103760 2520.103760\n", "2011-01-04 2618.146240 2567.137939 2520.103760 2520.103760 2527.114258\n", "2011-01-05 2567.137939 2520.103760 2520.103760 2527.114258 2526.342529\n", "2011-01-06 2520.103760 2520.103760 2527.114258 2526.342529 2478.751709"]}, "execution_count": 442, "metadata": {}, "output_type": "execute_result"}], "source": ["tsds[\"2011-01-02\":].iloc[:5]"]}, {"cell_type": "code", "execution_count": 443, "metadata": {}, "outputs": [{"data": {"text/plain": ["array([1, 0, 0, ..., 0, 0, 1])"]}, "execution_count": 443, "metadata": {}, "output_type": "execute_result"}], "source": ["yts"]}, {"cell_type": "code", "execution_count": 444, "metadata": {}, "outputs": [], "source": ["def compute_pnl(d, y, predictions, qty=10):\n", " pnl = []\n", " for date,prediction in zip(d.index[1:], predictions[1:]):\n", " pnl.append(trade(d, date, \"sell\" if prediction==0 else \"buy\", qty))\n", " pnl = pd.DataFrame(np.r_[[pnl]].T, index=d.index[1:], columns=[\"pnl\"])\n", " pnl[\"prediction\"]=predictions[1:]\n", " pnl[\"y\"]=y[1:]\n", " return pnl"]}, {"cell_type": "code", "execution_count": 445, "metadata": {}, "outputs": [], "source": ["preds = estimator.predict(Xts)\n", "pnl = compute_pnl(tsds, yts, preds)\n"]}, {"cell_type": "code", "execution_count": 446, "metadata": {}, "outputs": [{"data": {"image/png": "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\n", "text/plain": [""]}, "metadata": {"needs_background": "light"}, "output_type": "display_data"}], "source": ["pnl.pnl.plot()\n", "plt.title(\"TOTAL PNL %.2f COP\"%pnl.pnl.sum())\n", "plt.ylabel(\"PNL\")\n", "plt.grid();\n", "plt.ylim(-5000,5000);"]}, {"cell_type": "code", "execution_count": 447, "metadata": {}, "outputs": [], "source": ["def plot_pnlhist(pnl_series, label=\"\"):\n", " k = pnl_series.values\n", " total = np.sum(k); \n", " k = k[np.abs(k)<50000]\n", " plt.hist(k, bins=30);\n", " plt.title(\"PNL for %s, total %.2f COP\"%(label, total))"]}, {"cell_type": "code", "execution_count": 448, "metadata": {}, "outputs": [{"data": {"image/png": "iVBORw0KGgoAAAANSUhEUgAAAtQAAAHiCAYAAADI5lvdAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4xLjIsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy8li6FKAAAgAElEQVR4nOzde5wcVZn/8c9Xwv0WkuAICTioeEEQxPwQhNWRoHJRwVURZSVBMOuKV+Il6npZdXfBG8KqSHZR0EUEURcERBEZFS9B8EK4iEQMkhgIlyQwQdTo8/vjnIaaTndPz1RPT3Xm+369+jVV51RXPVNV/fTpqlNVigjMzMzMzGxsHjPRAZiZmZmZ9TI3qM3MzMzMSnCD2szMzMysBDeozczMzMxKcIPazMzMzKwEN6jNzMzMzEpwg7qLJH1U0r2S7proWHqVpB9LemYH5vMMST/pREydImlQ0okTHYfZZOGcXI6kzSXdLGmnJvXzJF3TxXic123CTPoGtaRlkv4kaUjS3ZLOkbRNrhuU9LCkXQrTHyJpWd37D2ljObsCC4A9IuJxHYo9JK3Lsa+Q9ClJmxTqa/EPFV7fqpvHbpL+LunMJvN/UidibRL/8yVdLWltcZ22mP4lwIMR8cuyy46IG4A1eZ5tGe366OT6k3SMpFvzulol6VxJ2zWYbve8zf+3rvw1ku7I+8v/SZpWqHuTpOsk/VnSOQ3meaKkpXn/uULSzi3i7Jd0uaTVku6S9BlJUwr1m+RGzB8lPSjpl5Kmtpjffnl+ayTdL+laSccX6qdKOjMv6yFJS4r1eZqmn3GrHufkCc3JknSqpPvy61RJavGW+cAPI2LleMU0Gj2Y1/eU9B2lH3UbPBSkVW7OuTbq9qX3N5jHNEn3qPDDRtKxde97KM/rWU3iHKp7/U3SfxXq50j6TZ7P1ZIeP8L//Zr8fw1JWinp25IOKtTvIekSpe+7B/M8n9Pif18maWGrZXbDpG9QZy+JiG2AfYHZwL8W6tYBG+ykY7ArcF9ErBrtG4sNkgb2zrE/D3gV8Lq6+jdFxDaFV32iOQ5YDbxK0uajja2kdcAXgHe2Of0bgC93cPnnAf/cwfmNpx8DB0bE9sATgCnARxtM91ng58UCSU8HzgJeC/QBDwGfK0zyxzyvL9TPTNIA8B/AkcA04PfA+S3i/BywCtgJ2Ie0X76xUP9vwHOAA4DtckwPN5qRpAOA7wM/AJ4ETAf+BTgs128GfA94fJ7f9qR96RRJJ9fNrtVn3KrHOXlicvJ84Chgb+AZwEtonSM7nZM7oZfy+l+BC4ETmtQ3zc0FUwv70kca1J8K3FIsiIjzivsgKUffDvyi0QLqpn0c8CfgawCSZgDfIH0mpwHXARc0Czbn5k+Tvlf6SJ/Dz5G+Y5D0RNL33RJgN2Bn4JvAd/N3wgb/O/Bq4AOSDm223G5wg7ogIlYA3wb2LBSfAbw6b+QxyUdLrgR2zr+mzsnlL5V0k9LRt0FJTyu8Z5mkd0u6AVg3QgInIpaSdsJ9RhGXSMn7X0kf7LZ/1XdCRFwbEV8mfZBbyo2ng0mNq1rZOZI+WhgfkLS8ML5M0nuUTkmulvRFSVsUZjsIzGnnS0vSD/Pgr/M2fFUuf73S0dv78y/qnZtNL2kHSZfmowWr8/CskZYNEBF3RsS9haK/kRqZxRiPAdYAV9W9/VjgWxHxw4gYIiW+f5S0bZ73NyLi/4D7Giz6xcDXIuKmiPgL8BHguS0+D7sBF0bEwxFxF3AF8PQc3w7A24DXR8QdkdwYEQ0b1MDHgXMj4tSIuDdPf31EHJ3rX0tKxq+MiN9HxF8j4grgLcCH1eAIfpPPuFWUc3J3czIwF/hkRCzP6/6TwLxGEyod4X8CsLhQNj3nwQckXQs8se49z5H083zk8ee1o45KZyuXFKa7UtLPC+M/knRUHl4m6R2SbsjzuaCH8/qtEXE2cFOT+la5eUR5/e4JfHGESecCX4r2Hp39ctJBkx/l8X8EboqIr+Vc/iFgb0lPbRDP9sCHgZPy/7Yu5+1vRUTtwNqHgJ9GxPsi4v6IeDAiziD9cDu1UUAR8VPSOpzQvO4GdYHSacTDgWKXghXAf5OOrI1JRHyPdFTtj/lX3jxJTyYd6XsbsCNwOfCt3HCseTVwBOlX2PoRYn8q8A/A0lGEdhAwC/gq6Vfy3FG8t7js1+QvoGavXccy3zq7A3+PiOUjTjncscCLSIn9yRSOdOUvjL8CTxlpJhHx3Dy4d96GF0g6GPhP4GjSEdk7SOuy4fSkz9sXSUdUdyX9yv9Mu/+IpIMkrQUeJCW1TxfqtiMlqvojs5AatL8u/C+/A/5CWh9tLbrBcLPE9WngGElbSZpJ2u+vyHV7AeuBVyh10fitpJMaLlDainTU+aIWcb0A+HZErKsr/zqwRX5//XwbfcatopyTu56Th+WKPPz0JtPuBdxetx4+SzrjtBPpyPwjR+eVupldRvpBNB34FHCZpOnAz4DdJc2QtCnp6PjOkraVtCXpLMWPCss5GjiU9AP+GRQa/b2W1zvgDknLlQ4YzagVKnU1+gzwJqBpQ1mpe8ZzgS+1ubz6xnf998s64Hc03m8OIOXmb7aY/wvIR7/rXAgcmPeHYvySdGBe3oTmdTeok/+TtAa4hnQE9D/q6v8TeInSqfNOeRVwWURcGRF/BT4BbEk6HV5zRj4y+acW8/mFpHWkUzqDDD+VD3BGXSItnhKaS2qQrAa+Ahwq6bGj/Uci4isRMbXF6w+jnWcDU0kNydH6TF6H9wP/TvpCLHowz3ssjgW+EBG/iIg/A+8BDpDU32jiiLgvIr4eEQ9FxIM5nue1u7CIuCZ3+ZhFOnq7rFD9EeDsJj84tgHW1pWtBbZtY7FXAEcrXeyzJfABUnLeqsn0PyQltgeA5aTTf/+X62aRumU8mfRF+ArgQ5Je0GA+O5DyU6u+mTMa1ecv+Htzfc1In3GrFufkicnJ9bliLbBNPnJeb1hOzg24lwMfyEcebwTOLUx/BHBbRHw5ItZHxPnAb0jde/5E6qr2XOBZpAbaj4EDgf3z+4pHac+IiD/mvP4tNjwL0DN5vYR7gf9Hasg/i5TPzyvUvwVYHBHXjzCf44AfRcTvR1pgbnw/j+HbdTTfL9OBe0f4Mdowr+eyx5C6ldTcC9wP/A+wMCLqz852lRvUyVE5yTw+It5Ynywj4h7SL70Pd3CZO5N++daW8XfgTmBmYZo725jPvqQd+lXAs4Gt6+rfUpdI3w+QG0evJH8A8ymTPwCvGdu/M+5W014DsF5xHd5BWu9F25K6SYxF/TYcIp2am9lo4nzU9iyliwMfIDU+p6pw0VI78hGYK8hHTSTtAxwCnNbkLUOk/spF29HGD5R8JO+DpKO+y/LrQVJjeRhJj8lxfYO0H84gNYxrp+lqn6sPR8SfIl1A9FXSEch6q4G/k44QNXNvo3qlU/Ezcn1Ny8+4VY5z8sTk5PpcsR0wVDgaWVSfk3ckXdtRn3Nrdq4br9XX1u8PgAFSo/oHpB8jz8uvH9S9r3hXlodI67uo5/L6aEXEUERcl3+c3E06Ev3CfFR/Z1KD+n1tzOo4hjeQW3ktcE1d43s03y/3ATPUurtUw7yey/5O2u9qZkTEDhHxtEjdQiaUG9Tt+zjwfNIvwU74I+mXJfBI37ldSKcza9rpz0QkFwI/JR1BbMfLSDv95/Lp97tICWPUpxi14RXD9a9OdPlYmhalYlJbx/AjpY2u1N+lMLwrab3X4p4JbAbcOsaY6rfh1qRf4CuaTL+AdBry2RGxHemLA4Z3qWjXFB7tnzgA9AN/yNvxHcDLJdUuMLmJdJFRLc4nAJsDv21nQRHx2YjYPSL6SA3rKcCNDSadRlrHn4mIP+cjSl/k0QbzDbVZFmffZJkPkfbnl7cI7XvAYXm9F70c+DPpNLJtvJyTmyiRk4flijzcsH8v6fO8W6FxdA+pS1d9zq0Ztn4L9bX1W9+g/gHNG9RN9XheL6O2bz4G2I/UAL0570enA/vl/ap415kDST8gWnWtK2rU+K7/ftma9N3UaL/5KSk3H9ViGd8j/bCsdzSpb/VDbcbadW5Qtyki1pAu0HhXg+pNJW1ReLW8WCW7EDhC6XYzm5I+lH8GytxD8xTg9ZLauQXUXNKVw3uRTpftQzq9trekvQrTbVb3v23wqzvqrhhu8Gp4elHSY5QuJtk0jWoLDe+vWFzGX0gftOKptF8BhyvdFuhxpL6P9U6SNEup/977GH718fOA7+fTeijdM3VZo+Vnd5Muwqk5Hzhe0j5KF8D8B+kU27Im029LOkq7JsfzwRbLGiZ/Qe6ahx9POq1YO721iJTAatvx86S+ii/K9eeRTo//Q052Hwa+kU9PImlK3g6bAJsU9+E8vKeSXfOyTs+npIeJdNHk74F/yfOcStrPbsj1vyP1g3yf0v1rnwYcA1za5N9+FzBP0juV+lkiaW9JX831XyYdKf+a0m2UNpX0IlIfzQ9FRP1pSNuIOCd3PieT+tGeLGlmPsq5ADin0YS5e9lSUuONiPgb6ezUh/JR2z0Y/mPgcuDJSv27pyhdALgHj37+f0JqmO4HXBsRN5Eats8mHfVtVy/ldeXcu1ke30KFiylHyM3PlvSU/D06nZT3BnPe+zbpIEttP/oAqX/xPnk71cwFvl77Lhgh1ueQfuDV92/+JrCnpJfnWD8A3BARv6mfR47tA8BnJR2V95NNJR0m6WN5sn8DniPp3/N3+7aS3kxqzL97pDgnVERM6hfpFPYhTeoGgRML49uQrm5dVvf+qHt9tMG8BoDldWUvA24m9Tf6AfD0duIqTBPAk+rKvk26SrsW/8OkUzK11/WkD8V6YK8G87wc+ERh/vWvE1vFNMp1P9Bg/oMtpj+C1L+wNr4FqYH8AKnR9vbiOs7r8D15Ha8h/bLeqlB/GfDSwvj7gfNaLP8NpH5ca4CjC2W/I/XjuhSY1Wx60pGAwbwdfku6tVMAUxrtb3XL/ndS43Fd/rsImN5k2g8B/1tX9hrS6eN1wMXAtLrp67fDh3Ld1Lxu15FOs/4nsEnhve+t2yb75P9jNenU3YVAX6F+JqlbyBDp7i7/PMI+sh9pn16b1/Fi4LhC/TTSLQHvJn2p3VS/Dmnjs+RXdV6ttlf9ZwTn5E7nZAEfy5+1+/OwWkx/EnBmYXxHUh58ALiWdG3HNYX6g/L/uzb/Pahufj8Fri6MXwTc0mr/oC7f0Vt5vb/B9lxW9781y82vJh3AWJfj+RLwuCbLmVfcDrlsi/w/zGkw/bC8nsvOAr7cZP6HkPrD/yn/v/0j7GfHkq6vqX2vXAY8p1C/Z2E/GsrzPKhQX1tvUzq173fipRycWU+Q9GPSfVxHvJo3H5U4MVI/4Pq6ZwBnRcQBhbLvAm+NiFvqpzczs+Hy0dRfkhplE/5wF+d1m0huUNtGq1WD2szMzKxT3IfazMzMzKwEH6E2MzMzMyuh1BFqSVMlXSTpN5JukXRAvirzSkm35b875Gkl6Qylx3neIGnfzvwLZmZmZmYTp2yXj9OBKyLiqaT7EN4CLASuiojdSbf1WpinPYz0+OjdgfnAmSWXbWZmZmY24cbc5UPS9qT7AD8hCjORdCswEBErJe1Eug3aUySdlYfPr5+u2TJmzJgR/f39G5SvW7eOrbeuf5ZD9TjOznKcneU4O6tRnNdff/29EbHjBIU0IZrl7bGq+vavcnyObeyqHJ9jG7uR4iuTs9u52X0zu5GejPRFSXuT7in5VtI9Z2uN5LuAvjw8k+GPJF2ey4Y1qCXNJx3Bpq+vj0984hMbLHhoaIhttql/0mj1OM7Ocpyd5Tg7q1Gcz3/+8+sftbzR6+/v57rrruvY/AYHBxkYGOjY/DqtyvE5trGrcnyObexGik/SmHN2mQb1FGBf4M0RsVjS6TzavQNIj1+VNKpD4BGxiPTQCmbPnh2N/vGqb7Aax9lZjrOzHGdn9UqcZmbWeWX6UC8nPWVqcR6/iNTAvjt39SD/XZXrVwC7FN4/K5eZmZmZmfWsMTeoI+Iu4E5JT8lFc0iPbL2E9Hx48t+L8/AlwHH5bh/7A2ur8GQlMzMzM7MyynT5AHgzcJ6kzYDbgeNJjfQLJZ0A3EF61j3A5cDhwFLgoTytmZmZmVlPK9WgjohfAbMbVM1pMG0AJ5VZnpmZmZlZ1fjR42ZmZmZmJbhBbWZmZmZWQtk+1NbD+hdeBsCCvdYzLw/XW3bKEd0MyczMSugv5HLndrPu8RFqMzMzM7MS3KA2MzMzMyvBDWozMzMzsxLcoDYzMzMzK8ENajMzMzOzEtygNjMzMzMrwQ1qMzMzM7MS3KA2MzMzMyvBDWozMzMzsxLcoDYzMzMzK8ENajMzMzOzEtygNjMzMzMrwQ1qMzMzM7MS3KA2MzMzMyvBDWozMzMzsxLcoDYzMzMzK8ENajMzMzOzEtygNjMzMzMrwQ1qMzMzM7MS3KA2M5skJL1d0k2SbpR0vqQtJO0mabGkpZIukLRZnnbzPL401/dPbPRmZtVVqkEtaZmkJZJ+Jem6XDZN0pWSbst/d8jlknRGTs43SNq3E/+AmZmNTNJM4C3A7IjYE9gEOAY4FTgtIp4ErAZOyG85AVidy0/L05mZWQOdOEL9/IjYJyJm5/GFwFURsTtwVR4HOAzYPb/mA2d2YNlmZta+KcCWkqYAWwErgYOBi3L9ucBRefjIPE6unyNJXYzVzKxnjEeXj2ISrk/OX4rkZ8BUSTuNw/LNzKxORKwAPgH8gdSQXgtcD6yJiPV5suXAzDw8E7gzv3d9nn56N2M2M+sVU0q+P4DvSgrgrIhYBPRFxMpcfxfQl4cfSc5ZLXGvxMzMxlXufncksBuwBvgacGiH5j2fdOaRvr4+BgcHOzFbAIaGhjo6v06rWnwL9lr/yHDflsPHiyY65qqtt3pVjs+xjd14xle2QX1QRKyQ9FjgSkm/KVZGROTGdtvaScxV32A1VY+zlmirnHSLqr4+axxnZznOjjkE+H1E3AMg6RvAgaSzhVPyUehZwIo8/QpgF2B57iKyPXBfoxnngymLAGbPnh0DAwMdC3pwcJBOzq/TqhbfvIWXPTK8YK/1fHJJ46/5ZccOdCmixqq23upVOT7HNnbjGV+pBnU+hUhErJL0TWA/4G5JO0XEytylY1WevJaca4qJuzjPERNz1TdYTdXjrCXeKifdoqqvzxrH2VmOs2P+AOwvaSvgT8Ac4DrgauAVwFeBucDFefpL8vhPc/33I2JUB0jMzCaLMfehlrS1pG1rw8ALgRt5NAnDhsn5uHy3j/2BtYWuIWZmNo4iYjHp4sJfAEtI+X8R8G7gZElLSX2kz85vORuYnstP5tELzM3MrE6ZI9R9wDfzRd9TgK9ExBWSfg5cKOkE4A7g6Dz95cDhwFLgIeD4Ess2M7NRiogPAh+sK76ddHaxftqHgVd2Iy4zs1435gZ1RNwO7N2g/D7SqcT68gBOGuvyzMzMzMyqyE9KNDMzMzMrwQ1qMzMzM7MS3KA2MzMzMyvBDWozMzMzsxLcoDYzMzMzK8ENajMzMzOzEtygNjMzMzMrwQ1qMzMzM7MS3KA2MzMzMyvBDWozMzMzsxLcoDYzMzMzK8ENajMzMzOzEtygNjMzMzMrwQ1qMzMzM7MS3KA2MzMzMyvBDWozMzMzsxLcoDYzMzMzK8ENajMzMzOzEtygNjMzMzMrwQ1qMzMzM7MS3KA2MzMzMyvBDWozMzMzsxLcoDYzMzMzK8ENajMzMzOzEko3qCVtIumXki7N47tJWixpqaQLJG2WyzfP40tzfX/ZZZuZmZmZTbROHKF+K3BLYfxU4LSIeBKwGjghl58ArM7lp+XpzMzMzMx6WqkGtaRZwBHA/+RxAQcDF+VJzgWOysNH5nFy/Zw8vZmZmZlZzyp7hPrTwLuAv+fx6cCaiFifx5cDM/PwTOBOgFy/Nk9vZmZmZtazpoz1jZJeDKyKiOslDXQqIEnzgfkAfX19DA4ObjDN0NBQw/KqqXqcC/ZKv3v6tnx0uF6V4q/6+qxxnJ3lOM3MrOrG3KAGDgReKulwYAtgO+B0YKqkKfko9CxgRZ5+BbALsFzSFGB74L76mUbEImARwOzZs2NgYGCDBQ8ODtKovGqqHue8hZcBqTH9ySWNd4Vlxw50MaLWqr4+axxnZzlOMzOrujF3+YiI90TErIjoB44Bvh8RxwJXA6/Ik80FLs7Dl+Rxcv33IyLGunwzMzMzsyoYj/tQvxs4WdJSUh/ps3P52cD0XH4ysHAclm1mZmZm1lVlunw8IiIGgcE8fDuwX4NpHgZe2YnlmZnZ6EmaSror055AAK8DbgUuAPqBZcDREbE634XpdOBw4CFgXkT8YgLCNjOrPD8p0cxs8jgduCIingrsTXqGwELgqojYHbiKR88eHgbsnl/zgTO7H66ZWW9wg9rMbBKQtD3wXHI3vIj4S0SsYfgzAuqfHfClSH5GuuB8py6HbWbWEzrS5cPMzCpvN+Ae4IuS9gauJz3pti8iVuZp7gL68vAjzw7Ias8VWEmddm53OlZVvx1h1eIr3gK1yrdErdp6q1fl+Bzb2I1nfG5Qm5lNDlOAfYE3R8RiSadTd3F4RISkUd99qZ3bnY5V1W9HWLX4ardDhWrfErVq661eleNzbGM3nvG5y4eZ2eSwHFgeEYvz+EWkBvbdta4c+e+qXF97dkBN8bkCZmZW4Aa1mdkkEBF3AXdKekoumgPczPBnBNQ/O+A4JfsDawtdQ8zMrMBdPszMJo83A+dJ2gy4HTiedGDlQkknAHcAR+dpLyfdMm8p6bZ5x3c/XDOz3uAGtZnZJBERvwJmN6ia02DaAE4a96DMzDYC7vJhZmZmZlaCG9RmZmZmZiW4QW1mZmZmVoIb1GZmZmZmJbhBbWZmZmZWghvUZmZmZmYluEFtZmZmZlaCG9RmZmZmZiW4QW1mZmZmVoIb1GZmZmZmJbhBbWZmZmZWghvUZmZmZmYluEFtZmZmZlaCG9RmZmZmZiW4QW1mZmZmVoIb1GZmZmZmJYy5QS1pC0nXSvq1pJsk/Vsu303SYklLJV0gabNcvnkeX5rr+zvzL5iZmZmZTZwyR6j/DBwcEXsD+wCHStofOBU4LSKeBKwGTsjTnwCszuWn5enMzMzMzHramBvUkQzl0U3zK4CDgYty+bnAUXn4yDxOrp8jSWNdvpmZmZlZFZTqQy1pE0m/AlYBVwK/A9ZExPo8yXJgZh6eCdwJkOvXAtPLLN/MzMzMbKJNKfPmiPgbsI+kqcA3gaeWDUjSfGA+QF9fH4ODgxtMMzQ01LC8aqoe54K90u+evi0fHa5Xpfirvj5rHGdnOU4zM6u6Ug3qmohYI+lq4ABgqqQp+Sj0LGBFnmwFsAuwXNIUYHvgvgbzWgQsApg9e3YMDAxssLzBwUEalVdN1eOct/AyIDWmP7mk8a6w7NiBLkbUWtXXZ43j7CzHaWZmVVfmLh875iPTSNoSeAFwC3A18Io82Vzg4jx8SR4n138/ImKsyzczMzMzq4IyR6h3As6VtAmpYX5hRFwq6Wbgq5I+CvwSODtPfzbwZUlLgfuBY0os28zMzMysEsbcoI6IG4BnNii/HdivQfnDwCvHujwzMzMzsyrykxLNzMzMzEpwg9rMzMzMrAQ3qM3MzMzMSnCD2szMzMysBDeozczMzMxKcIPazMzMzKwEN6jNzMzMzEpwg9rMbBKRtImkX0q6NI/vJmmxpKWSLpC0WS7fPI8vzfX9Exm3mVmVuUFtZja5vBW4pTB+KnBaRDwJWA2ckMtPAFbn8tPydGZm1oAb1GZmk4SkWcARwP/kcQEHAxflSc4FjsrDR+Zxcv2cPL2ZmdUZ86PHzcys53waeBewbR6fDqyJiPV5fDkwMw/PBO4EiIj1ktbm6e+tn6mk+cB8gL6+PgYHBzsW8NDQUEfn12lVi2/BXusfGe7bcvh40UTHXLX1Vq/K8Tm2sRvP+NygNjObBCS9GFgVEddLGujkvCNiEbAIYPbs2TEw0LnZDw4O0sn5dVrV4pu38LJHhhfstZ5PLmn8Nb/s2IEuRdRY1dZbvSrH59jGbjzjc4PazGxyOBB4qaTDgS2A7YDTgamSpuSj1LOAFXn6FcAuwHJJU4Dtgfu6H7aZWfW5D7WZ2SQQEe+JiFkR0Q8cA3w/Io4FrgZekSebC1ychy/J4+T670dEdDFkM7Oe4Qa1mdnk9m7gZElLSX2kz87lZwPTc/nJwMIJis/MrPLc5cPMbJKJiEFgMA/fDuzXYJqHgVd2NTAzsx7lI9RmZmZmZiW4QW1mZmZmVoIb1GZmZmZmJbhBbWZmZmZWghvUZmZmZmYluEFtZmZmZlaCG9RmZmZmZiW4QW1mZmZmVsKYG9SSdpF0taSbJd0k6a25fJqkKyXdlv/ukMsl6QxJSyXdIGnfTv0TZmZmZmYTpcwR6vXAgojYA9gfOEnSHqTH014VEbsDV/Ho42oPA3bPr/nAmSWWbWZmZmZWCWNuUEfEyoj4RR5+ELgFmAkcCZybJzsXOCoPHwl8KZKfAVMl7TTmyM3MzMzMKmBKJ2YiqR94JrAY6IuIlbnqLqAvD88E7iy8bXkuW1koQ9J80hFs+vr6GBwc3GB5Q0NDDcurpupxLthrPQB9Wz46XK9K8Vd9fdY4zs5ynGZmVnWlG9SStgG+DrwtIh6Q9EhdRISkGM38ImIRsAhg9uzZMTAwsME0g4ODNCqvmqrHOW/hZUBqTH9ySeNdYdmxA12MqLWqr88ax9lZjtPMzKqu1F0+JG1KakyfFxHfyMV317py5L+rcvkKYJfC22flMjMzMzOznlXmLh8CzgZuiYhPFaouAebm4bnAxYXy4/LdPvYH1ha6hpiZmZmZ9aQyXT4OBF4LLJH0q1z2XuAU4EJJJwB3AEfnusuBw4GlwEPA8SWWbWZmZmZWCWNuUEfENYCaVM9pMH0AJ411eWZmZmZmVeQnJZqZmZmZleAGtZmZmZlZCW5Qm5mZmZmV0JEHu1j19Od7TJuZmZnZ+PIRajMzMzOzEtygNjMzMzMrwQ1qMzMzM7MS3IfazMysB/jaGLPq8hFqMzMzM7MS3KA2MzMzMyvBDWozMzMzsxLcoJKeW/EAACAASURBVDYzMzMzK8ENajMzMzOzEtygNjMzMzMrwQ1qMzMzM7MS3KA2M5sEJO0i6WpJN0u6SdJbc/k0SVdKui3/3SGXS9IZkpZKukHSvhP7H5iZVZcb1GZmk8N6YEFE7AHsD5wkaQ9gIXBVROwOXJXHAQ4Dds+v+cCZ3Q/ZzKw3uEFtZjYJRMTKiPhFHn4QuAWYCRwJnJsnOxc4Kg8fCXwpkp8BUyXt1OWwzcx6gh89bi2186jbZacc0YVIzKxTJPUDzwQWA30RsTJX3QX05eGZwJ2Fty3PZSupI2k+6Sg2fX19DA4OdizWoaGhjs6v07oZ34K91o9q+r4tm79notept+vYObaxG8/43KA2M5tEJG0DfB14W0Q8IOmRuogISTHaeUbEImARwOzZs2NgYKBD0aaGXyfn12ndjG9eGwc4ihbstZ5PLmn8Nb/s2IEORDR23q5j59jGbjzjc5cPM7NJQtKmpMb0eRHxjVx8d60rR/67KpevAHYpvH1WLjMzszpuUJuZTQJKh6LPBm6JiE8Vqi4B5ubhucDFhfLj8t0+9gfWFrqGmJlZgbt8mJlNDgcCrwWWSPpVLnsvcApwoaQTgDuAo3Pd5cDhwFLgIeD47oZrZtY7SjWoJX0BeDGwKiL2zGXTgAuAfmAZcHRErM5HR04nJeiHgHm1K87NzGx8RcQ1gJpUz2kwfQAnjWtQZmYbibJdPs4BDq0r8z1NzczMzGzSKNWgjogfAvfXFfuepmZmZmY2aYzHRYmjvaepmZmZmVnPGteLEsdyT9N2HhBQ9RuH10xknKN5AECrm/+3o1v/o7d7ZznOzuqVOM3MrPPGo0F9t6SdImLlWO5p2s4DAqp+4/CaiYxzNA8AaHXz/3Z06wEB3u6d5Tg7q1fiNDOzzhuPLh++p6mZmZmZTRplb5t3PjAAzJC0HPggvqepmZmZmU0ipRrUEfHqJlW+p6mZmVlF9bfRLXDZKUd0IRKzjYMfPW5mZmZmVoIb1GZmZmZmJbhBbWZmZmZWghvUZmZmZmYluEFtZmZmZlaCG9RmZmZmZiW4QW1mZmZmVoIb1GZmZmZmJbhBbWZmZmZWQqknJVr3tfN0KzMzMzPrHh+hNjMzMzMrwQ1qMzMzM7MS3KA2MzMzMyvBDWozMzMzsxLcoDYzMzMzK8ENajMzMzOzEtygNjMzMzMrwQ1qMzMzM7MS3KA2MzMzMyvBDWozMzMzsxLcoDYzMzMzK8ENajMzMzOzEqZMdADW+/oXXtbWdMtOOWKcIzEz603t5lEzqyY3qCvECdXMzKqine8kHygxS7re5UPSoZJulbRU0sJuL9/MzNrnnG1mNrKuNqglbQJ8FjgM2AN4taQ9uhmDmZm1xznbzKw93T5CvR+wNCJuj4i/AF8FjuxyDGZm1h7nbDOzNnS7D/VM4M7C+HLg2Z1eSLf7fTVb3oK91jPP/aIfUbaPeG19trPtOnmh5Gjjbrbd3dewmtxPtKUJz9nFz1M3t0O7n/vJnuer8n07Xsuz6qnqPqCI6N7CpFcAh0bEiXn8tcCzI+JNhWnmA/Pz6FOAWxvMagZw7ziH2wmOs7McZ2c5zs5qFOfjI2LHiQimE9rJ2bm8nbw9VlXf/lWOz7GNXZXjc2xjN1J8Y87Z3T5CvQLYpTA+K5c9IiIWAYtazUTSdRExu/PhdZbj7CzH2VmOs7N6Jc5RGjFnQ3t5e6yqvl6rHJ9jG7sqx+fYxm484+t2H+qfA7tL2k3SZsAxwCVdjsHMzNrjnG1m1oauHqGOiPWS3gR8B9gE+EJE3NTNGMzMrD3O2WZm7en6g10i4nLg8pKzGZdTi+PAcXaW4+wsx9lZvRLnqHQoZ5dR9fVa5fgc29hVOT7HNnbjFl9XL0o0MzMzM9vYdP1JiWZmZmZmG5NKN6glLZAUkmbkcUk6Iz8C9wZJ+xamnSvptvyaWyh/lqQl+T1nSFIH4/u4pN/kWL4paWqh7j15mbdKelGhvOFjfPNFP4tz+QX5AqBxN9GPFZa0i6SrJd0s6SZJb83l0yRdmbfnlZJ2yOWj3gc6GOsmkn4p6dI83nCbSdo8jy/N9f2FeTTcLzoc51RJF+V98xZJB1R0fb49b/MbJZ0vaYsqrFNJX5C0StKNhbKOrT+NY07qZapgvlcP5/hmcYzzMiufz1XRPK6K521VKF+rqjk6Iir5It2q6TvAHcCMXHY48G1AwP7A4lw+Dbg9/90hD++Q667N0yq/97AOxvhCYEoePhU4NQ/vAfwa2BzYDfgd6YKeTfLwE4DN8jR75PdcCByThz8P/EsX1nHTeLq4nXcC9s3D2wK/zevvY8DCXL6wsG5HvQ90MNaTga8Al7baZsAbgc/n4WOAC1rtF+OwTs8FTszDmwFTq7Y+SQ8M+T2wZWFdzqvCOgWeC+wL3Fgo69j6YxxzUq++qGi+p0dzfKs4xnk7Vj6fU9E8ToXzNhXL11Q0R4/rh6vkBrwI2BtYxqMJ9izg1YVpbiV9gF8NnFUoPyuX7QT8plA+bLoOx/sy4Lw8/B7gPYW67wAH5Nd3CuXvyS+RbjReS9zDphvHddwwngne7hcDL6ht21y2E3DrWPaBDsY1C7gKOBi4tNU2q23vPDwlT6dm+0WH19/2pMSnuvKqrc/aE/im5XV0KfCiqqxToJ/hyboj648u5qReetED+Z4eyvHN4piA7VqpfE5F8zgVz9tUMF9TwRxdyS4fko4EVkTEr+uqGj0Gd+YI5csblI+H15F+yYwlzunAmohY34U4i5rFMyHyaaFnAouBvohYmavuAvry8GjXbad8GngX8Pc83mqbPRJLrl+bp+/G+t4NuAf4Yj6t+T+StqZi6zMiVgCfAP4ArCSto+up5jqFzq2/buakntBD+b6XcvyE5/aK5vOq5vFK5+0eydcTnqO7ftu8GknfAx7XoOp9wHtJp9omXKs4I+LiPM37gPXAed2MbWMiaRvg68DbIuKBYpeliAhJMYGxvRhYFRHXSxqYqDjaNIV0KuzNEbFY0umk01+PmOj1CZD7tx1J+iJZA3wNOHQiY2pXFdZfr6lyvneO77wq5vOK5/FK5+1ey9cTta4mrEEdEYc0Kpe0F2mj/Tp/CGcBv5C0H80fg7sCGKgrH8zlsxpMXzrOQrzzgBcDcyKfH2gRJ03K7wOmSpqSf82NOs4xauuxwuNN0qak5HteRHwjF98taaeIWClpJ2BVLh/tPtAJBwIvlXQ4sAWwHXA6zbdZLcblkqaQTufd1yL2TloOLI+IxXn8IlJirtL6BDgE+H1E3AMg6Ruk9VzFdQqdW3+lc1IvqnK+30hz/ITl9grn8yrn8arn7V7I1xOfo8v2rRnvF8P71B3B8M7l1+byaaT+Rzvk1++BabmuvnP54R2M7VDgZmDHuvKnM7zj/e2ki0Sm5OHdePRCkafn93yN4Z3739iFdds0ni5uXwFfAj5dV/5xhl9g8LGx7gMdjneARy9mabjNgJMYfkHGha32i3GI8UfAU/Lwh/K6rNT6BJ4N3ARslZd9LvDmqqxTNuyf17H1xzjmpF5/UbF8T4/m+FZxjPP264l8TgXzOBXO21QwX1PBHD2uH64O7fjLeDTBCvgs6crQJcDswnSvA5bm1/GF8tnAjfk9n6Gu03/J2JaS+uD8Kr8+X6h7X17mrRSuECVdcfrbXPe+QvkT8kZcmnfSzbu0fhvG08XtexAQwA2F9Xg4qb/VVcBtwPcKO/qo94EOxzvAo4m44TYjHf34Wi6/FnjCSPtFh2PcB7gur9P/y8micusT+DfgN/nz+WVSkp3wdQqcT+on+FfSkaMTOrn+GMec1OsvKpbv6eEc3yyOcV5mT+RzKpjHqXjepkL5mormaD8p0czMzMyshEre5cPMzMzMrFe4QW1mZmZmVoIb1GZmZmZmJbhBbWZmZmZWghvUZmZmZmYluEFtZmZmZlaCG9RmZmZmZiW4QT2OJH1U0r2S7proWDZmkn4s6ZkdmM8zJP2kEzF1iqRBSSdOdBxmGwPn5PEnaXNJN+fHPzeqnyfpmi7G47xuXTHpGtSSlkn6k6QhSXdLOkfSNrluUNLDknYpTH+IpGV17z+kjeXsCiwA9oiIx3Uo9pC0Lse+QtKnJG3S4P+6q/h/5fpzJP0l19dev851/XnetfK7JV0q6QV1yz9I0k8krZV0f27I/r9O/G+FZTxf0tV5GcvamP4lwIMR8cuyy46IG4A1eZ5tyevtSeM1/QjzmivpekkPSFou6WOSphTq/1fSylz/22ICl7SZpIvyfhOSBurm/XZJt+f3/lHSaXXzvlrSPbn+15KObBHnOyXdKOlBSb+X9M4m0z0vx/LREf7v/SRdLmlN3g+vlXR8oX6qpDPz5+AhSUuK9XmapnnAuss5ufI5WZJOlXRffp0qSS3eMh/4YUSs7GQcY7Ux5XWlHytnS7oj59NfSTqsyXw+kOM6pFD2MUl35nnfIem9Td57XH5v00a/Wn+/7C/pyrxP3iPpa2ryA6vwnhdJ+mH+v+6R9ANJLy3Uz5J0Xt4H1+W8/+K6eTT9PHbDpGtQZy+JiG2AfUmPmPzXQt064P0dWMauwH0RsWq0b1Sh4dLA3jn2OcBrgNcX6mr/1z7AM4H31L33YxGxTeG1d1391Pz+vYErgW9Kmpdj2g64FPgvYBowk/Qo0j+P9v8bwTrgC0DDRlcDbyA9BrVTzgP+uYPzG09bAW8DZgDPJu0T7yjU/yfQHxHbAS8FPirpWYX6a4B/AhodrbsE2De/d0/SPvGWQv1bgZ1y/Xzgf1skTAHHkR6leyjwJknHDJtA2hQ4HVjc6h+WdADwfeAHwJNIj5v9F+CwXL8Z6bGzjwcOALYn7UunSDq5bnat8oB1l3NydXPyfOCoHMMzgJfQOkd2Oid3wsaS16cAdwLPI+W2fwUulNRfnIGkJwKvJD2eu+hs4Kk5bz8HOFbSP9a9dwfgvcBNI8TZ6vtlB2AR0E/KxQ8CX2w2I0mvID2q/EvALKAP+ABpX0PSNNL31V+Ap5PWzWnAV/J7i1p9HsdXp57z3isvYBlwSGH848CleXgQ+CBp4z8xlx0CLGv2/ibLOAT4E/B3YAg4J5e/lLSTrsnLelrdfN8N3EBKiFMazDeAJxXGvwZ8psn/9THgssL4OcBHm8Tbn+c9pa78HcDdpB9es4E1XdxOw9Z7k2k2y+t5VrP/ExgAltet5/cANwOrSR/yLQr1M/M8N28jxh/m9bYub+dX5fLXA0uB+0kN052bTU9KPJcC9+R4Lq37fwaBE9tcZycD32pS9xRScj26Qd1yYKDFfKeTGqmfa1K/H/AwsF+bcZ4B/Fdd2cK8zzbdT/N01wCfbVF/ArAK2Lqu/FV5nW/X5PPySB7wq7uvVtsC5+QJz8nAT4D5hfETgJ81mXbXvJ6nFMqmk/LgA8C1wEeAawr1zwF+DqzNf5+Ty58PLClMdyXw88L4j4CjCuv6HXlbrQUuYBLk9Vx/A/DyurIrgMPr98G6aWYCS4B31ZV/HnjjKGNs+v2S6/clnUluVCfgD8A7W8z/I8CNwGPqyt8N3AFopM9jN16T9Qg1APk04uFAsbvACuC/Sb/0xyQivkc6YvbHSEcd5kl6MnA+6ZfnjsDlwLfyEbWaVwNHkI5KrB8h9j2Af6iLvVY3Ky9/6Vj/h+wbwGNJH5bfAn+TdK6kw/Kv2FbxvUbplHyz164lYwPYHfh7RCwf5fuOBV4EPBF4MoWjYRGxAvgr6X9uKSKemwf3ztv5AkkHk365Hw3sRPqwf7XZ9KQvxi+SfsXXvow+M8r/p+a51B1VkPQ5SQ8BvyElvMvbnVnehg8A95KOTp1VV3+ppIdJR5UHgevamKdI++1NhbLHA68DPjzCe7ciHXW+qMVkLwC+HRHr6sq/DmyR318/30Z5wCaAc/KIJiInPx34dWH817mskb2A2+vW1WdJP7h3In3OX1eIaRpwGelH9nTgU8BlkqYDPwN2lzQjn8F6BrCzpG0lbUn6QfGjwnKOJp0B2y1PO69WsbHl9RpJfaTvsGI+fSXw54homOslLZQ0RDqQsjXwlULdfqT1+vl2AhvF90vT/4G0TXZh5Lz+9Yj4e135haT1++QGsTX9PI6bbrXcq/Ii/WIbIh2RuAP4HLBlrhsETiQl17WkpDHqoyF5ugGGHxl9P3BhYfwxpC+KgcJ8XzfCPIP0K3818Dvgo+RfbIX/68E83VWkL4Hae88hJbU1hde5ua6fxkdDtsjlB+bxp+X5LAfWk36l943TdmrnCPWBwF11Zecw8hHqNxTGDwd+VzePFcBz24yz/hfx2aTTuLXxbUiJvL/R9A3mtw+wujA+SBtHCUhfUsuBGQ3qNgEOIv1w2LRB/UhHqHcnHSF4XIO6TUkNhZPbXF//RvpC3rxQdjGPHgUatv3q3jszr7+ntpj/94BTmtTdBRxb93nZIA/41d1Xq22Bc/KE52Tgb8XPXM4HQT4qWDftsRSOXpNyz1/r3v8f5CPUwGuBa+vm8VNgXh7+EfCPwP7Ad0kNqENJR69vqNsH/qkw/jHg83Xz3djy+qakfHdWoWxb4LZCXMto8NkgHRV+Jikfb1vYVtcB+48yxpG+X55BOqr/D03ef2Bef1u0WMZSCt/bLT4PTT+P3XhN1iPUR0XE1Ih4fES8MSL+VKyMiHtIvyZbHjEbpZ1JXxa1Zfyd1BdqZmGaO9uYz74RsUNEPDEi/jWG/2I7KiK2JX1xPJXUz6joE/n/rr3mjrCsWmz355hviYh5ETGL1K92Z+DTbcQ8XlaTEshoFdfzHaT/o2hb0pfbWNRv5yHgPoZv50dI2krSWfkCkQdIpw+njuZCCklHkY6eHBYR99bXR8TfIuIaUt+0fxnVf5Pefxvp6MLnGtT9NSK+DbyweAFJkzjfROpLfURE/DmXvYSU0C9oI5TVpFP2rS5uubdRfe4DOyPX17TMA9ZVzsnVzclDwHaF8e2AocgtmDr1OXlHHu33W3NHYXjnuvFafe3//AFp3T03Dw+S+g8/L48XFa8FeYjU6C3aaPK6pMeQ+qn/BXhToepDwJcjYlmreUfyS9KR89qZnzeSfqT8rN0Y87yafr8oXaj5beCtEfGjRu8nrUcYQ14vlBXXT6vP47iarA3qdnyc9Cv4WSNN2KY/kk7/AI+c+t6F9Ku5plGCGrWI+AHpqMUnSs7qZaT+qLc2WMZv8jL2bPRGScdq+NXr9a9OdPlYmhalYlJbR7qoo6bR1fy7FIZ3JW2bWtwzSX2zN/if21S/nbcmncpc0WT6BaRTXs+OdHFH7fRhq6voHyHpUNLp8JdExJIRJp9C6uYyFiO9t2W9pNeR+knPieFddOYAs5XugnAXqf/h2yRdXD+PiHiIdPTq5S3i+B5wWF7vRS8n9YMd1ZeFVYpz8sTk5JtIXb5q9qb56fsbgN0KF3HeQzpyXp9za4Ztg0J9bRvUN6h/QPMGdVMbU17P++nZpAv3Xh4Rfy1UzwHeUsinu5AuWnx3k0UV8/Yc4GWF9z4H+KSkdruqDPsOyF35vgd8JCJaXaR6K+kH10h5/R/zD4mio/N7f9tmjOOrW4fCq/KidSf9QQqnOID3kX49Lat7/2GkUw21V6OLVQYYfnrxKaTG3hzSqZp3ALcDm40UV2EeTU8r1b+fdGRgHalfF4ziAhjSB/VNpFOVr8tlTyUliVl5fBfgx8B/d3j7PCav08NIRwS2qK2jJtNfArymMP56Un+uaaTG9M/YsMvHEtKv6dqVw/9RqH8NcHlhfB4tup6Qjoq8sDB+COlLZB9gc9KdK65pMf3HSL/gt8jxfLNuWwzbJ+uWfXDePzc4jUnqZ3kM6SjNJqQ+4+uAlxam2Twvdznwwjxcu7jjROCxeXgP0hfopwr7wmHAlnlf/ifSkZJ9m8R5bP6/n9agbtu8nWqvC0hXb09rMq/nkI6YvROYnsv2Br5a+J9+QerL15/jexHpQq53FuazjDa6Cfg1/q9W26J+/8c5eSJy8huAW0hHY3fOuWCD0++F6W8gX1iYxy8g9TfeKueS5Tza5WM66ajxa0gNslfl8Rm5fmvSD+FVhe2ygnQE+rEt1vWHgP8tjG8UeT3Xf570vbZNg7rpDM+nd5Lu9rEN6bv1n0kXTIp0MflK4C35vVPr3vsT0gWR2zdYTsvvl7yv/A54R5v72CtIXbqOJ50BeQypG8miwv/1B1K/9Mfl9fpqUveOV7XzeezGa0IWOpGv+g9eXd2wnTzvLKvYMHlH3WuDpEhd8s5lLyPdXWIt6df109uJq52dpdH7gTNJHfkhJe+/kBojtde9ua4/z3sofyhWkRokhxbmNZPUf21FnmYF6SK17Tq8fQYarN/BFtMfQboIrTa+BSmBP0BK7G+n+V0+1gDnAlsV6i9jeKPz/cB5LZb/BlJSWkO+wjmX/Y50Wrb+6u5h05O+oAbzuv8tKeG1m3ivJh39KW7Tb+e6HfM+tiaviyXA6xvsM/Xruj/XfZHUCF2Xp/s4uY8bqd/mYtKX+xrSlfkvK8z3H0inhGvjvyf1NyzG+fkm/9M5tLjLR55mP9KX1dq8jhcDxxXqp+V9827SKc2b6tchblBX5tVqW9Tv/zgnT0ROFqmBeH9+fYwG/acL058EnFkY35GUB5vd5eMg4Pq8Da4HDqqb30+BqwvjFwG3tFrXbNig3ljy+uPzfB6uqz92pH2Q1Ei9Isdfi+u9zbZlfYx52ra+X0h35gmGxzjUbH3n9xxK6jM/RPrxMkjqHlir35V0EfH9pP3958CR7X4eu/GqHY0y61mSfgy8Kdp4uIvSAyFOjHTVf33dM0gXeBxQKPsuqf/XLR0M2cxsoyRpc9KdFeZEBR7u4rxu3eIGtU0qrRrUZmZmZmPhixLNzMzMzErwEWozMzMzsxJGPEIt6QuSVkm6sVA2TdKVkm7Lf3fI5ZJ0hqSlkm6QtG/hPXPz9LdJmjs+/46ZmZmZWXe10+XjHNLVl0ULgasiYnfS058W5vLDSE9R2h2YT7qiufZ40Q8CzyZdof/BkR6TamZmZmbWC6aMNEFE/FBSf13xkaRbEEG67dgg8O5c/qVI/Uh+JmmqpJ3ytFdGxP0Akq4kNdLPb7XsGTNmRH9//aLLWbduHVtvXf/Mh+pwfOVUOb4qxwaOr6xG8V1//fX3RsSOExTShGiWt6u+/aA3YoTeiLMXYoTeiLMXYoTeiHOkGMvk7BEb1E30FW6HcxfppvOQ7otZfMTo8lzWrLyl/v5+rrvuujGG2Njg4CADAwMdnWcnOb5yqhxflWMDx1dWo/gk1T9WeaPXLG9XfftBb8QIvRFnL8QIvRFnL8QIvRHnSDGWydljbVA/IiJCUseubJQ0n9RdhL6+PgYHBzs1awCGhoY6Ps9OcnzlVDm+KscGjq+sqsdnZmbjZ6wN6rsl7RQRK3OXjlW5fAXp8ac1s3LZCh7tIlIrH2w044hYBCwCmD17dnT6107Vf0E5vnKqHF+VYwPHV1bV4zMzs/Ez1vtQXwLU7tQxF7i4UH5cvtvH/sDa3DXkO8ALJe2QL0Z8YS4zMzMzM+tpIx6hlnQ+6ejyDEnLSXfrOAW4UNIJwB2kZ9cDXA4cDiwFHgKOB4iI+yV9hPTsdYAP1y5QNDMzMzPrZe3c5ePVTarmNJg2gJOazOcLwBdGFZ2ZmZmZWcX50eNmZmZmZiW4QW1mZmZmVoIb1GZmZmZmJZS+D7Vt3PoXXjZsfMFe65lXV7bslCO6GZKZ2aRUy8eN8nCN87HZxPARajMzMzOzEtygNjMzMzMrwQ1qMzMzM7MS3KA2MzMzMyvBDWozMzMzsxLcoDYzMzMzK8ENajMzMzOzEtygNjMzMzMrwQ1qMzMzM7MS3KA2M5skJC2TtETSryRdl8umSbpS0m357w65XJLOkLRU0g2S9p3Y6M3MqssNajOzyeX5EbFPRMzO4wuBqyJid+CqPA5wGLB7fs0Hzux6pGZmPcINajOzye1I4Nw8fC5wVKH8S5H8DJgqaaeJCNDMrOrcoDYzmzwC+K6k6yXNz2V9EbEyD98F9OXhmcCdhfcuz2VmZlZnykQHYGZmXXNQRKyQ9FjgSkm/KVZGREiK0c40N87nA/T19TE4OLjBNENDQw3Lq6TqMS7Yaz0AfVs+OlyvKvFXfV3W9EKcvRAj9Eac4xmjG9RmZpNERKzIf1dJ+iawH3C3pJ0iYmXu0rEqT74C2KXw9lm5rNF8FwGLAGbPnh0DAwMbTDM4OEij8iqpeozzFl4GpMb0J5c0/vpeduxAFyNqrurrsqYX4uyFGKE34hzPGN3lw8xsEpC0taRta8PAC4EbgUuAuXmyucDFefgS4Lh8t4/9gbWFriFmZlbgI9RmZpNDH/BNSZBy/1ci4gpJPwculHQCcAdwdJ7+cuBwYCnwEHB890M2M+sNblCbmU0CEXE7sHeD8vuAOQ3KAzipC6GZmfU8d/kwMzMzMyvBDWozMzMzsxLcoDYzMzMzK8ENajMzMzOzEtygNjMzMzMrwQ1qMzMzM7MS3KA2MzMzMyvBDWozMzMzsxJKNaglvV3STZJulHS+pC0k7SZpsaSlki6QtFmedvM8vjTX93fiHzAzMzMzm0hjblBLmgm8BZgdEXsCmwDHAKcCp0XEk4DVwAn5LScAq3P5aXk6MzMzM7OeVrbLxxRgS0lTgK2AlcDBwEW5/lzgqDx8ZB4n18+RpJLLNzMzMzObUGNuUEfECuATwB9IDem1wPXAmohYnydbDszMwzOBO/N71+fpp491+WZmZmZmVTBlrG+UtAPpqPNuwBrga8ChZQOSNB+YD9DX18fg4GDZWQ4zNDTU8Xl2UtXiW7DX+mHjfVtuWFaleKu2/oqqHBs4vrKqHp+ZmY2fMTeogUOA30fEPQCSvgEcCEyVNCUfhZ4FrMjTrwB2AZbnLiLbA/fVzzQiFgGLAGbPnh0DAwMlQtzQ4OAgnZ5nJ1UtvnkL91GQOAAAFyxJREFULxs2vmCv9XxyyfDdZtmxA12MqLWqrb+iKscGjq+sqsdnZmbjp0wf6j8A+0vaKveFngPcDFwNvCJPMxe4OA9fksfJ9d+PiCixfDMzMzOzCVemD/Vi0sWFvwCW5HktAt4NnCxpKamP9Nn5LWcD03P5ycDCEnGbmZmZ/f/27jfGjuq84/j3ERv+tGkwJtHWsq3aUVAqUisJXQERVbWC/gGDYiolERFK7NSVpZZGpFhKTPIirdQX0JYSUKskVpzWVDSFkLQgoI0IsGr7Ik5LQnDAoWyJU2yZOKVAakVp6/bpi3sWZtfXZr3n/pnxfj/S1c6cmTvz88zu2cezZ+5IrVAz5IPM/CTwyQXNzwIX9ln3x8B7a/YnSZIktY1PSpQkSZIqWFBLkiRJFSyoJUmSpAoW1JIkSVIFC2pJkiSpggW1JEmSVMGCWpIkSapgQS1JkiRVsKCWJEmSKlhQS9IyEhGnRcQ3I+L+Mr8+IvZExGxE3BURp5f2M8r8bFm+bpy5JanNLKglaXm5HtjXmL8ZuDUz3wK8CGwt7VuBF0v7rWU9SVIfFtSStExExBrgSuBzZT6AS4F7yiq7gavL9KYyT1l+WVlfkrSABbUkLR+fAj4K/F+ZPxd4KTOPlvkDwOoyvRp4DqAsf7msL0laYGLcASRJwxcRVwGHM/OxiJge8La3AdsAJicnmZmZOWadI0eO9G1vk7Zn3L6h9/+eybNenV6oLfnbfizndCFnFzJCN3IOM6MFtSQtD5cA746IjcCZwBuA24AVETFRrkKvAQ6W9Q8Ca4EDETEBnA280G/DmbkT2AkwNTWV09PTx6wzMzNDv/Y2aXvGLTseAHrF9C17+//63n/t9AgTHV/bj+WcLuTsQkboRs5hZnTIhyQtA5l5Y2auycx1wDXAI5l5LfAo8J6y2mbg3jJ9X5mnLH8kM3OEkSWpMyyoJWl5+xhwQ0TM0hsjvau07wLOLe03ADvGlE+SWs8hH5K0zGTmDDBTpp8FLuyzzo+B9440mCR1lFeoJUmSpAoW1JIkSVIFC2pJkiSpggW1JEmSVMGCWpIkSapgQS1JkiRVsKCWJEmSKlhQS5IkSRUsqCVJkqQKFtSSJElSBQtqSZIkqYIFtSRJklTBglqSJEmqUFVQR8SKiLgnIr4TEfsi4l0RsTIiHoqIZ8rXc8q6ERG3R8RsRDwRERcM5p8gSZIkjU/tFerbgL/LzJ8F3g7sA3YAD2fmecDDZR7gCuC88toGfLpy35IkSdLYLbmgjoizgV8EdgFk5n9n5kvAJmB3WW03cHWZ3gTckT1fA1ZExKolJ5ckSZJaYKLiveuBHwB/FhFvBx4DrgcmM/NQWed5YLJMrwaea7z/QGk71GgjIrbRu4LN5OQkMzMzFRGPdeTIkYFvc5Dalm/7hqPz5ifPOratTXnbdvya2pwNzFer7fkkScNTU1BPABcAH87MPRFxG68O7wAgMzMi8mQ2mpk7gZ0AU1NTOT09XRHxWDMzMwx6m4PUtnxbdjwwb377hqPcsnf+t83+a6dHmOjE2nb8mtqcDcxXq+35JEnDUzOG+gBwIDP3lPl76BXY358bylG+Hi7LDwJrG+9fU9okSZKkzlpyQZ2ZzwPPRcRbS9NlwFPAfcDm0rYZuLdM3wd8sHzax8XAy42hIZIkSVIn1Qz5APgwcGdEnA48C3yIXpF+d0RsBb4HvK+s+yCwEZgFflTWlSRJkjqtqqDOzMeBqT6LLuuzbgLX1exPkiRJahuflChJkiRVsKCWJEmSKlhQS5IkSRUsqCVJkqQKFtSStExExJkR8fWI+FZEPBkRv1fa10fEnoiYjYi7yic3ERFnlPnZsnzdOPNLUltZUEvS8vFfwKWZ+XbgHcDl5bkANwO3ZuZbgBeBrWX9rcCLpf3Wsp4kaQELaklaJrLnSJl9XXklcCm9p90C7AauLtObyjxl+WURESOKK0mdYUEtSctIRJwWEY8Dh4GHgH8FXsrMo2WVA8DqMr0aeA6gLH8ZOHe0iSWp/WqflChJ6pDM/F/gHRGxAvhr4GdrtxkR24BtAJOTk8zMzByzzpEjR/q2t0nbM27f0Ps/z+RZr04v1Jb8bT+Wc7qQswsZoRs5h5nRglqSlqHMfCkiHgXeBayIiIlyFXoNcLCsdhBYCxyIiAngbOCFPtvaCewEmJqayunp6WP2NzMzQ7/2Nml7xi07HgB6xfQte/v/+t5/7fQIEx1f24/lnC7k7EJG6EbOYWZ0yIckLRMR8aZyZZqIOAv4ZWAf8CjwnrLaZuDeMn1fmacsfyQzc3SJJakbvEItScvHKmB3RJxG74LK3Zl5f0Q8BfxVRPw+8E1gV1l/F/AXETEL/AdwzThCS1LbWVBL0jKRmU8A7+zT/ixwYZ/2HwPvHUE0Seo0h3xIkiRJFSyoJUmSpAoW1JIkSVIFC2pJkiSpggW1JEmSVMGCWpIkSapgQS1JkiRVsKCWJEmSKlhQS5IkSRUsqCVJkqQKFtSSJElSBQtqSZIkqYIFtSRJklTBglqSJEmqYEEtSZIkVbCgliRJkipYUEuSJEkVqgvqiDgtIr4ZEfeX+fURsSciZiPirog4vbSfUeZny/J1tfuWJEmSxm0QV6ivB/Y15m8Gbs3MtwAvAltL+1bgxdJ+a1lPkiRJ6rSqgjoi1gBXAp8r8wFcCtxTVtkNXF2mN5V5yvLLyvqSJElSZ01Uvv9TwEeBnyrz5wIvZebRMn8AWF2mVwPPAWTm0Yh4uaz/780NRsQ2YBvA5OQkMzMzlRHnO3LkyMC3OUhty7d9w9F585NnHdvWprxtO35Nbc4G5qvV9nySpOFZckEdEVcBhzPzsYiYHlSgzNwJ7ASYmprK6emBbRroFX+D3uYgtS3flh0PzJvfvuEot+yd/22z/9rpESY6sbYdv6Y2ZwPz1Wp7PknS8NRcob4EeHdEbATOBN4A3AasiIiJcpV6DXCwrH8QWAsciIgJ4GzghYr9S5IkSWO35DHUmXljZq7JzHXANcAjmXkt8CjwnrLaZuDeMn1fmacsfyQzc6n7lyRJktpgGJ9D/THghoiYpTdGeldp3wWcW9pvAHYMYd+SJEnSSNXelAhAZs4AM2X6WeDCPuv8GHjvIPYnSZIktYVPSpSkZSAi1kbEoxHxVEQ8GRHXl/aVEfFQRDxTvp5T2iMibi8P43oiIi4Y779AktrLglqSloejwPbMPB+4GLguIs6nN/zu4cw8D3iYV4fjXQGcV17bgE+PPrIkdYMFtSQtA5l5KDO/Uab/k94Tblcz/6FbCx/GdUf2fI3eJzitGnFsSeqEgYyhliR1R0SsA94J7AEmM/NQWfQ8MFmmX3kYVzH3oK5DLLCYB3J14cE3bc8491Ctfg/YmtOW/G0/lnO6kLMLGaEbOYeZ0YJakpaRiHg98CXgI5n5w4h4ZVlmZkSc9MeZLuaBXF148M04M65b8BCt/nq/svs9YGtOWx601YXzDd3I2YWM0I2cw8zokA9JWiYi4nX0iuk7M/PLpfn7c0M5ytfDpX3uYVxzmg/qkiQ1WFBL0jIQvUvRu4B9mfnHjUXNh24tfBjXB8unfVwMvNwYGiJJanDIhyQtD5cAHwD2RsTjpe3jwE3A3RGxFfge8L6y7EFgIzAL/Aj40GjjSlJ3WFBL0jKQmf8IxHEWX9Zn/QSuG2ooSTpFOORDkiRJqmBBLUmSJFWwoJYkSZIqWFBLkiRJFSyoJUmSpAoW1JIkSVIFC2pJkiSpggW1JEmSVMGCWpIkSapgQS1JkiRVsKCWJEmSKlhQS5IkSRUsqCVJkqQKFtSSJElSBQtqSZIkqYIFtSRJklTBglqSJEmqYEEtSZIkVbCgliRJkipMjDuAJEkajHU7HljUevtvunLISaTlxSvUkiRJUoUlF9QRsTYiHo2IpyLiyYi4vrSvjIiHIuKZ8vWc0h4RcXtEzEbEExFxwaD+EZIkSdK41FyhPgpsz8zzgYuB6yLifGAH8HBmngc8XOYBrgDOK69twKcr9i1JkiS1wpLHUGfmIeBQmf7PiNgHrAY2AdNltd3ADPCx0n5HZibwtYhYERGrynY0BosdaydJkqTjG8gY6ohYB7wT2ANMNork54HJMr0aeK7xtgOlTZIkSeqs6k/5iIjXA18CPpKZP4yIV5ZlZkZEnuT2ttEbEsLk5CQzMzO1Eec5cuTIwLc5SKPMt33D0ZN+z+RZx76vTcezzee3zdnAfLXang8gIj4PXAUczsyfK20rgbuAdcB+4H2Z+WL0OvPbgI3Aj4AtmfmNceSWpLarKqgj4nX0iuk7M/PLpfn7c0M5ImIVcLi0HwTWNt6+prTNk5k7gZ0AU1NTOT09XRPxGDMzMwx6m4M0ynxbljDkY/uGo9yyd/63zf5rpweUqF6bz2+bs4H5arU9X/HnwJ8AdzTa5u57uSkidpT5jzH/vpeL6N33ctFI00pSR9R8ykcAu4B9mfnHjUX3AZvL9Gbg3kb7B8unfVwMvOz4aUkancz8e+A/FjRvone/C+Xr1Y32O7Lna8CKcpFEkrRAzRXqS4APAHsj4vHS9nHgJuDuiNgKfA94X1n2IL0/Hc7S+/Phhyr2LUkajJO978ULIZK0QM2nfPwjEMdZfFmf9RO4bqn7kyQN11Lue4HF3fvShTHm48x4Mve09LuX5WQN+9/ZhfMN3cjZhYzQjZzDzOijxyVpeau67wUWd+9LF8aYjzPjydzT0u9elpM17HtfunC+oRs5u5ARupFzmBl99LgkLW/e9yJJlbxCLUnLRER8gd6Dt94YEQeAT+J9L5JUzYJakpaJzHz/cRZ534skVXDIhyRJklTBK9Sqtm6RN9Psv+nKISeRJEkaPa9QS5IkSRUsqCVJkqQKFtSSJElSBQtqSZIkqYIFtSRJklTBglqSJEmq4MfmSZI0RIv9aFFJ3eUVakmSJKmCBbUkSZJUwYJakiRJqmBBLUmSJFWwoJYkSZIqWFBLkiRJFSyoJUmSpAoW1JIkSVIFC2pJkiSpggW1JEmSVMGCWpIkSapgQS1JkiRVsKCWJEmSKlhQS5IkSRUmxh1AkiSN1rodD7zmOvtvunIESaRTgwW1JElLtJjCVNKpz4L6FGUnL0mSNBojL6gj4nLgNuA04HOZedOoM2g8/BOj1D322ZL02kZ6U2JEnAb8KXAFcD7w/og4f5QZJEmLY58tSYsz6k/5uBCYzcxnM/O/gb8CNo04gyRpceyzJWkRRj3kYzXwXGP+AHDRoHdyoqEF2zccZcuOBzo7tOBUHxvtsBCpVcbeZzcN6mf/ePub+/2gnlH3x/b/Woy2fp9EZo5uZxHvAS7PzN8o8x8ALsrM326ssw3YVmbfCjw94BhvBP59wNscJPPVaXO+NmcD89Xql+9nMvNN4wgzCIvps0v7Yvrttp8/6EZG6EbOLmSEbuTsQkboRs7XyrjkPnvUV6gPAmsb82tK2ysycyewc1gBIuKfM3NqWNuvZb46bc7X5mxgvlptz7dEr9lnw+L67S4cny5khG7k7EJG6EbOLmSEbuQcZsZRj6H+J+C8iFgfEacD1wD3jTiDJGlx7LMlaRFGeoU6M49GxG8DX6H3EUyfz8wnR5lBkrQ49tmStDgj/xzqzHwQeHDU+20Y2nCSATFfnTbna3M2MF+ttudbkgH22V04Pl3ICN3I2YWM0I2cXcgI3cg5vCHFo7wpUZIkSTrVjHoMtSRJknRKOWUL6ojYHhEZEW8s8xERt0fEbEQ8EREXNNbdHBHPlNfmRvvPR8Te8p7bIyIqM/1hRHyn7P+vI2JFY9mNZT9PR8SvNtovL22zEbGj0b4+IvaU9rvKDUNDc7wcwxYRayPi0Yh4KiKejIjrS/vKiHionLOHIuKc0n7S53kAGU+LiG9GxP1lvu+5iYgzyvxsWb6usY2+538A2VZExD3l+25fRLyrZcfud8p5/XZEfCEizhzn8YuIz0fE4Yj4dqNtYMcrBtyntE20sN9dkK+zffCJsoxCdKAvXpC3tf1y2Xar++bG9lvVRze2176+OjNPuRe9j3n6CvA94I2lbSPwt0AAFwN7SvtK4Nny9ZwyfU5Z9vWybpT3XlGZ61eAiTJ9M3BzmT4f+BZwBrAe+Fd6NwCdVqbfDJxe1jm/vOdu4Joy/RngN4d4PI+bYwTnchVwQZn+KeBfyvH6A2BHad/ROJYnfZ4HkPEG4C+B+090boDfAj5Tpq8B7jrR+R9Qtt3Ab5Tp04EVbTl29B4a8l3grMZx2zLO4wf8InAB8O1G28COFwPuU9r0oqX97oKMneyDyz7G1g+X/be+L16Qt7X9ctl+a/vmRsbW9dGNbK3rq0fygzjqF3AP8HZgP6927J8F3t9Y52l6HcT7gc822j9b2lYB32m0z1tvABl/DbizTN8I3NhY9hXgXeX1lUb7jeUV9D6YfO4Xw7z1hnA8++YY07m9F/jlufNX2lYBTy/lPA8gzxrgYeBS4P4TnZu581qmJ8p6cbzzP4BsZ9PrDGNBe1uO3dxT+FaW43E/8KvjPn7AOuZ30gM5Xgy5Txn3iw70uwvydqYP7rePhZnHcL5b1RcvyNbafrlsq9V9c2N7reyjG9tZR4v66lNuyEdEbAIOZua3Fizq9wjd1a/RfqBP+6D8Or3/9Swl27nAS5l5dEjZFjpejpEqfz56J7AHmMzMQ2XR88BkmT7ZY1nrU8BHgf8r8yc6N69kKMtfLusPK9t64AfAn5U/fX4uIn6Slhy7zDwI/BHwb8AhesfjMdpz/OYM6ngNu08Zmw71u01d6oNPlHHkWtoXN7W5X4aW981zOtRHzxlrXz3yj80bhIj4KvDTfRZ9Avg4vT/rjcWJsmXmvWWdTwBHgTtHma3LIuL1wJeAj2TmD5vDmTIzIyLHkOkq4HBmPhYR06Pe/yJM0PuT2Iczc09E3Ebvz2CvGNexAyjj2zbR++XyEvBF4PJxZFmscR6vcWtzv9tkHzxcbeyLmzrQL0PL++Y5Xeyj54zj+HWyoM7MX+rXHhEb6J34b5Uf8jXANyLiQo7/CN2DwPSC9pnSvqbP+kvK1si4BbgKuCzL3xJOkI3jtL8ArIiIifK/wEVlq7Coxw8PS0S8jl4Hfmdmfrk0fz8iVmXmoYhYBRx+jazHO881LgHeHREbgTOBNwC3cfxzM5ftQERM0Puz3wsnyFzrAHAgM/eU+XvoddptOHYAvwR8NzN/ABARX6Z3TNty/OYM6ngtqU9pizb3u4vJ2ci7he71wa+VcSRa3Bc3tb1fhvb3zXO60kfPGW9fPaixNm18MX8s35XMH5T+9dK+kt5YpnPK67vAyrJs4aD0jZV5LgeeAt60oP1tzB+w/yy9G1AmyvR6Xr0J5W3lPV9k/k0BvzXE43jcHCM4hwHcAXxqQfsfMv/mgz9Y6nkeUM5pXr35pe+5Aa5j/g0bd5/o/A8o1z8Aby3Tv1uOWyuOHXAR8CTwE2Wfu4EPj/v4cey4vIEdLwbcp7TxRcv63QXZOtkHl32MrR8u++9EX7wg2zQt7JfL9lvbNzcytrKPbuRbR4v66pH8II7rxfyOPYA/pXd36V5gqrHerwOz5fWhRvsU8O3ynj9hwQ0ES8gzS2+8zuPl9ZnGsk+U/TxN425Senen/ktZ9olG+5vLCZ8t39xnDPlY9s0xgnP4C0ACTzSO20Z647IeBp4Bvtr4ITjp8zygnNO82nH3PTf0rpZ8sbR/HXjza53/AeR6B/DP5fj9Tek0WnPsgN8DvlN+zv6CXoc7tuMHfIHeWMH/oXcVaesgjxcD7lPa+KJl/e6CbJ3tg0+UZUTntRN98YLM07SwXy7bbnXf3Nh+q/roxvZa11f7pERJkiSpwin3KR+SJEnSKFlQS5IkSRUsqCVJkqQKFtSSJElSBQtqSZIkqYIFtSRJklTBglqSJEmqYEEtSZIkVfh/p67AdXQM25MAAAAASUVORK5CYII=\n", "text/plain": [""]}, "metadata": {"needs_background": "light"}, "output_type": "display_data"}], "source": ["plt.figure(figsize=(12,8))\n", "plt.subplot(221); plot_pnlhist(pnl[pnl.y==1].pnl, \"REAL = 1 (up)\"); plt.grid();\n", "plt.subplot(222); plot_pnlhist(pnl[pnl.y==0].pnl, \"REAL = 0 (down)\"); plt.grid();\n", "plt.subplot(223); plot_pnlhist(pnl[preds[1:]==1].pnl, \"PREDS = 1 (up)\"); plt.grid();\n", "plt.subplot(224); plot_pnlhist(pnl[preds[1:]==0].pnl, \"PREDS = 0 (down)\"); plt.grid();"]}, {"cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": []}, {"cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": []}], "metadata": {"kernelspec": {"display_name": "p38", "language": "python", "name": "p38"}, "language_info": {"codemirror_mode": {"name": "ipython", "version": 3}, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.8.3"}}, "nbformat": 4, "nbformat_minor": 2}