{ "cells": [ { "cell_type": "code", "execution_count": 1, "id": "b31f6517", "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import pandas as pd\n", "\n", "from sktime.forecasting.theta import ThetaForecaster\n", "from sktime.forecasting.ets import AutoETS\n", "from sktime.forecasting.naive import NaiveForecaster\n", "from sktime.forecasting.structural import UnobservedComponents\n", "from sktime.forecasting.exp_smoothing import ExponentialSmoothing\n", "from sktime.forecasting.trend import PolynomialTrendForecaster\n", "from sktime.forecasting.statsforecast import StatsForecastAutoARIMA\n", "from sktime.forecasting.fbprophet import Prophet\n", "\n", "from sktime.datasets import load_airline\n", "from sktime.forecasting.base import ForecastingHorizon\n", "from sktime.forecasting.model_selection import temporal_train_test_split\n", "from sktime.performance_metrics.forecasting import mean_absolute_percentage_error\n", "from sktime.utils.plotting import plot_series, plot_correlations, plot_lags\n", "\n", "# disable all warnings because they are super annoying\n", "import warnings\n", "warnings.filterwarnings(\"ignore\", category=FutureWarning)" ] }, { "cell_type": "markdown", "id": "a43d4c3b", "metadata": {}, "source": [ "using sktime version 0.11.4" ] }, { "cell_type": "markdown", "id": "0847ba63", "metadata": {}, "source": [ "# Demo Time Series Plots in Python\n", "\n", "## Univariate" ] }, { "cell_type": "markdown", "id": "f0371923", "metadata": {}, "source": [ "Model setup. We'll use the sktime `load_airline()` function to load in the data of international air passengers from 1949-1960 from the classic Box-Jenkins ARIMA paper." ] }, { "cell_type": "code", "execution_count": 2, "id": "0aaba424", "metadata": {}, "outputs": [], "source": [ "y = load_airline()\n", "y_train, y_test = temporal_train_test_split(y, test_size=12)\n", "fh = ForecastingHorizon(y_test.index, is_relative=False)" ] }, { "cell_type": "markdown", "id": "dd48357b", "metadata": {}, "source": [ "You can plot simple diagnostics like the autocorrelation function (ACF) and partial ACF (PACF) with `plot_correlations()`" ] }, { "cell_type": "code", "execution_count": 3, "id": "05ce3ee3", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(
,\n", " array([,\n", " ,\n", " ],\n", " dtype=object))" ] }, "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": [ "# ACF, PACF\n", "plot_correlations(y)" ] }, { "cell_type": "code", "execution_count": 4, "id": "bc883336", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(
,\n", " array([,\n", " ,\n", " ], dtype=object))" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# scatter plot of lags vs itself\n", "plot_lags(y, lags=[1,2,3])" ] }, { "cell_type": "markdown", "id": "c8a499b0", "metadata": {}, "source": [ "## Modeling" ] }, { "cell_type": "markdown", "id": "e8597712", "metadata": {}, "source": [ "### Theta Forecaster" ] }, { "cell_type": "code", "execution_count": 5, "id": "8d0c0cad", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "sMAPE: 0.05231934588593568\n" ] }, { "data": { "text/plain": [ "(
,\n", " )" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "forecaster = ThetaForecaster(sp=12) # monthly seasonal periodicity\n", "forecaster.fit(y_train)\n", "y_pred = forecaster.predict(fh)\n", "print(\"sMAPE: \", mean_absolute_percentage_error(y_test, y_pred, symmetric=True))\n", "plot_series(y, y_pred, labels=[\"y\", \"y_pred\"])\n" ] }, { "cell_type": "markdown", "id": "63dd8d96", "metadata": {}, "source": [ "Pretty Plot with Prediction Intervals" ] }, { "cell_type": "code", "execution_count": 6, "id": "5e76b3ed", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Set coverage and then call .predict_interval to return a dataframe with the upper and lower PI bounds\n", "coverage = 0.9\n", "y_pred_ints = forecaster.predict_interval(coverage=coverage)\n", "\n", "fig, ax = plot_series(y, y_pred, labels=[\"y\", \"y_pred\"])\n", "ax.fill_between(\n", " ax.get_lines()[-1].get_xdata(),\n", " y_pred_ints[\"Coverage\"][coverage][\"lower\"],\n", " y_pred_ints[\"Coverage\"][coverage][\"upper\"],\n", " alpha=0.2,\n", " color=ax.get_lines()[-1].get_c(),\n", " label=f\"{coverage}% prediction intervals\",\n", ")\n", "ax.set_title(\"Theta Forecaster\")\n", "ax.legend();" ] }, { "cell_type": "markdown", "id": "84af2d87", "metadata": {}, "source": [ "Wrap up all the steps above in a function\n", "\n" ] }, { "cell_type": "code", "execution_count": 7, "id": "6cae5493", "metadata": {}, "outputs": [], "source": [ "def run_forecast(y_train, y_test, forecaster, fh, coverage=None, results=True, title=\"\"):\n", " \"\"\"Helper function to train a forecaster and plot the results\"\"\"\n", " forecaster.fit(y_train)\n", " y_pred = forecaster.predict(fh)\n", " fig, ax = plot_series(y, y_pred, labels=[\"y\", \"y_pred\"])\n", " if coverage is not None:\n", " # Calculated and add prediction intervals to the plot\n", " y_pred_ints = forecaster.predict_interval(coverage=coverage)\n", " ax.fill_between(\n", " ax.get_lines()[-1].get_xdata(),\n", " y_pred_ints[\"Coverage\"][coverage][\"lower\"],\n", " y_pred_ints[\"Coverage\"][coverage][\"upper\"],\n", " alpha=0.2,\n", " color=ax.get_lines()[-1].get_c(),\n", " label=f\"{coverage}% prediction intervals\",\n", " )\n", " ax.legend();\n", " ax.set_title(title)\n", " print(\"sMAPE: \", mean_absolute_percentage_error(y_test, y_pred, symmetric=True))\n", " if results:\n", " return forecaster, y_pred" ] }, { "cell_type": "markdown", "id": "f1318e87", "metadata": {}, "source": [ "Fitting a linear trendline" ] }, { "cell_type": "code", "execution_count": 8, "id": "b65b4cf1", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "sMAPE: 0.12074496965455546\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "forecaster = PolynomialTrendForecaster(degree=1)\n", "run_forecast(y_train, y_test, forecaster, fh, results=False, \n", " title=\"Linear Trend Forecaster\")" ] }, { "cell_type": "code", "execution_count": 9, "id": "4e2fc4e9", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "sMAPE: 0.11980400632932332\n" ] }, { "data": { "image/png": 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nvys6ZJEuv2MWuSnxwWxuyPD3mNn7gXeNMWOACcBW4B5gqTFmJLDUeg5wLjDSetwKPOTntpGTFMdrC6a1yU9/bcE0cpLierXfuXPn8u6777Jq1SrOPvtsXzRVKaWUUkopFYGMMXx9qJJxuSltlsfH2LTKcRf81jMrImnAqcB8AGNMI9AoIhcDp1ubPQF8AvwEuBh40hhjgBUiki4i/Ywxh/zVRptNGJ+byvI7Zvk0Dz02NpbZs2eTnp5OVFSUj1qrlFJKKaWUijQl1Y0cqW1ifLtg1lnluH0WqVY5/oY/z8RQ4DCwSETWicgjIpIE9HUJUIuAvtbPA4ADLq8vsJb5lc0m5KbEk5eRSG5KvE/yz+12OytWrODmm2/2QQuVUkoppZRSkWpTkaNgbftg1l9ZpJHEn2Nmo4HJwA+MMV+JyP18k1IMgDHGiEi35sERkVtxpCEzePBgX7XVZ7Zs2cIFF1zA3LlzGTlyZLCbo5RSSimllAphm4uqABifm9pmuTOLdNGVE4mLtjE0M1GrGbfjz2C2ACgwxnxlPX8RRzBb7EwfFpF+QIm1vhAY5PL6gdayNowxDwMPA0ydOrXnE8L6ydixY9mzZ0+wm6GUUkoppZQKA5uKqshMjCEnObbDOptNeGtrCQ9+sZfq35+ngWw7fkszNsYUAQdEZLS1aA6wBXgduNFadiPwmvXz68AN4nASUOHP8bJKKaWUUkopFWybi6oYn5vaWsm4vdE5STQ029nfrhiU8v88sz8AnhGRWGAPsABHAP28iNwM5APzrG3fxjEtzy4cU/Ms8HPblFJKKaWUUipojDFsLq7iuskDPW4zOjsZgO2HqxmamRiopoUFvwazxpj1wFQ3q+a42dYAt/mzPUoppZRSSikVKgoq6qmsb+5Q/MmVazB7zpicQDUtLGhdZ6WUUkoppZQKgk2HHJWM288x6yo7OZa0+Gi2l1QHqllhQ4NZpZRSSimllAqCTVYl486CWRFhdHYyOw7XBKpZYeOYD2aNsdNcU0RT5X6aa4owxh7sJvXI448/zu233x7sZiillFJKKaW8tLmoiv6p8fRJ7FjJ2NXonGS2H9ae2faO6WDWGDuNpZs4tOQUCh4bwaElp9BYuimkAtqWlpZgN0EppZRSSinlB5uLqzodL+s0KjuJwop6qhuaA9Cq8OHvasZBdeST/0fj4Q0e16dP/19KP/wOzZX5ADRX5lPyxmVknfkfyr/6vdvXxGZPIPP0v3rc53333UefPn246667ALj33nvJycnhzjvvbLPdJ598wn333UdKSgq7du1i9uzZ/Otf/8Jms5GcnMx3vvMdPvzwQ/75z3+yb98+Fi5cSGNjI9OnT+df//oXUVFRLFq0iD/84Q+kp6czYcIE4uLiunmGlFJKKaWUUsHQYjdsKa7iuzOGdLmtswjUztIaJg1I83PLwscx3TMrMcmtgaxTc2U+EpPc433edNNNPPnkkwDY7XYWL17Mdddd53bblStX8sADD7BlyxZ2797Nyy+/DEBNTQ3Tp09nw4YNZGZmsmTJEr744gvWr19PVFQUzzzzDIcOHeIXv/gFX3zxBcuWLWPLli09brNSSimllFIqsPYeraWuyd7peFmn0TlWRWMtAtVGRPfMdtaDCtBcU0R0al6bgDY6NY/o1MH0u+LDHr3nkCFDyMzMZN26dRQXFzNp0iQyMzPdbnviiScybNgwAK6++mqWLVvG5ZdfTlRUFJdddhkAS5cuZc2aNUybNg2Auro6cnJy+Oqrrzj99NPJzs4G4Morr2THjh09arNSSimllFIqsDYVOSoZe5NmPCIrCRF03Gw7ER3MdiUqMYecC1+i5I3LaK7MJzo1j5wLXyIqsXfzN91yyy08/vjjFBUVcdNNN3ncTkTcPo+PjycqKgpwTKR844038oc//KHNtq+++mqv2qiUUkoppVQosdsNJTUNNDTbiYu2kZMUh80mXb8wTG22KhmP7dt1MJsQE8Xg9AStaNzOsZ1mLDZis8bT78rPGXTTLvpd+TmxWeMR6d1pmTt3Lu+++y6rVq3i7LPP9rjdypUr2bt3L3a7nSVLljBr1qwO28yZM4cXX3yRkpISAI4ePUp+fj7Tp0/n008/5ciRIzQ1NfHCCy/0qs1KKaWUUkoFi91u2FRUyYyFyxj6u6XMWLiMTUWV2O0m2E3zm81FVQztk0hynHf9i6OzkzXNuJ1jumcWHAFtdFKuT/cZGxvL7NmzSU9Pb+1hdWfatGncfvvtrQWg5s6d22GbsWPH8tvf/pZvfetb2O12YmJi+Oc//8lJJ53EL3/5S2bMmEF6ejoTJ0706TEopZRSSikVKCU1DVy8aBX5ZXUA5JfVcfGiVSy/Yxa5KfFBbp1/bCqqYpwXvbJOo3KS+XLVfowxHTI8j1XHfDDrD3a7nRUrVnTZW5qamsqbb77ZYXl1dds7LldeeSVXXnllh+0WLFjAggULetdYpZRSSimlgqyh2d4ayDrll9XR0Bw6U2b6UmOznW0l1Zw/tq/XrxmdnUR1QwsHK+sZkJbgx9aFj2M6zdgftmzZwogRI5gzZw4jR44MdnOUUkoppZQKOXa7oaiqnvyyWooq66mqbyYvo22AlpeRQFx0ZIYrO0traLYbr4o/OTmn59Fxs9/QnlkfGzt2LHv27Gl9/vXXX3P99de32SYuLq61GrFSSimllFLHEuf4WGdacV5GAkuun8yz107mmmfWti57bcE0cpLigt1cv3AWf+pWMOsyPc/sEVl+aVe46VYwK47KSMnGmEo/tccnQimP/Pjjj2f9+vVBbYMxkTtwXimllFJKhRd342OvfGotK++cxfI7ZrHvaB21jS2Mz02N2GrGm4oqibJJa2+rNwakxpMYE6XT87jost9eRJ4VkVQRSQI2AVtE5H/837SeiY+P58iRIxrAWYwxHDlyhPj4yBw4r5RSSimlwoun8bG1TXZyU+L595f7uHHxuogNZMHRMzsiM5H4GM/FYtuz2YSR2UmaZuzCm57ZscaYShG5FngHuAdYA/zZry3roYEDB1JQUMDhw4eD3ZSQER8fz8CBA4PdDKWUUkoppYiLtpGXkdAmoHUdHzs6J5kn1xRQVd9MSnxkjorcVFTFCf1Su/260dnJrC4o932DwpQ3n44YEYkBLgEeNMY0iUjIdnvGxMQwdOjQYDdDKaWUUkop5UZOUhxLrp/ClU+tcTs+doxzbOjhaqYOSg9iS33PUfiqgYevmEBijA273XSrB3pUdhIvbjxIQ3MLcdHe9+pGKm+C2X8D+4ANwGcikgeE9JhZpZRSSimlVGiy2YTl+47yj4vHM3FAKnHRNnKS4lqDOuc40kgLZt0VvnptwbRujQ0enZOM3cCu0lrGdaN4VKTqdMysVfCp2BgzwBhznnEMRN0PzA5I65RSSimllFIR57XNxfzxo53kZSSSmxLfJpgbnpVIlE3YVhJZhY7cFb66eNEqSmoavN7HN9PzRNa56alOg1ljjB34cbtlxhjT7NdWKaWUUkoppSKS3W5YW1jBpAFpbtfHRUcxrE8i2yMsmPVU+Kqh2e71PkZlJwFoRWOLN7MQfygiPxKRQSLSx/nwe8uUUkoppZRSEWfv0Voq65uZPNB9MAuOHshIC9icha9cuRa+8kZqfAy5KXHsKNGKxuBdMHslcBvwGY4qxmuA1f5slFJKKaWUUioyrS2sAGCyh55ZcIwN3XG4hhZ7yNad7bacpDhenT+tNaBtX/jKW5EY6PdUlwWgjDFaGlgppZRSSinlE2sKKoiJkk4LGI3JSbbScmsZlpkUwNb5j80mNLTY+dtF4ziubzLpCTFtCl95a1ROEi9tPOSnVoaXLntmRSRRRH4mIg9bz0eKyAX+b5pSSimllFIq0qwrLOf43NROp5YZnWONDY2wcbPvbjvM5U+uJjclvkPhK2+Nzk7maG0Tpd0oHBWpvEkzXgQ0AidbzwuB3/qtRUoppZRSSqmIZIxhbUEFkzoZLwvfzDW7LcLSaZftPcIJ/VJJT4jp8T5apy7ScbNeBbPDjTH/BzQBGGNqge7fQlBKKaWUUkod0w6U13GktqnT8bIAWUlx9EmMiaiArbnFzvL8MmYO6V0t3dE5Oj2PkzfBbKOIJAAGQESGA9qnrZRSSimllOoWb4o/OY3JSY6oNOMNhyqpaWzhlGG9C2aHZCQQEyVsPxw5gX5PdVkACvgF8C4wSESeAWYC8/3ZKKWUUkoppVTkWVtQQZRNOKF/apfbjs5J5u2tJQFoVWB8vucoQK97Zm0ivLbgRDKTYimqqu9REalI4U014w9EZC1wEo704juNMaV+b5lSSimllFIRzG43lNQ00NBsJy7adkwEJesKKzguJ5mEGM/Fn5xGZyezaOUByuuaejXGNFR8sfcoQzISGJie0PXGHtjthk1FlXzvpY3kl9W1Tu8zPjc14j877nhTzXgykAccAg4Cg0VkuIh406urlFJKKaWUascZlMxYuIyhv1vKjIXL2FRUiT2C5lV1Z21hhVcpxvBNEahISDU2xvD53iOcMiyzV/spqWng4kWryC+rAyC/rI6LF62i5BitbOzNmNl/ASuAh4H/AsuBF4DtIvKtzl4oIvtE5GsRWS8iq61lfUTkAxHZaf2bYS0XEVkoIrtEZKMVRCullFJKKRVxjsWg5FBlPYcqG7qsZOzUWtE4AoLZXaU1lFQ3MnNo71KMHXPv1rVZll9WR0OzvVf7DVfeBLMHgUnGmKnGmCnAJGAPcBbwf168frYxZqIxZqr1/B5gqTFmJLDUeg5wLjDSetwKPOT9YSillFJKKRU+jsWgZG2B98WfAIb2SSTaJmyPgKq9n+91jJc9pZfBbFy0jbyMtmnKeRkJxEV7E9ZFHm+OepQxZrPziTFmCzDGGLOnh+95MfCE9fMTwCUuy580DiuAdBHp18P3UEoppZRSKmQdrWk85oISZyXjif29C2ZjomyMyEqKiDTjZXuPkpkY09rb3FM5SXG8tmBa62cnLyOBVxdMIycpzhfNDDvejHvdLCIPAYut51cCW0QkDmvu2U4Y4H0RMcB/jDEPA32NMYes9UVAX+vnAcABl9cWWMsOuSxDRG7F0XPL4MGDvWi+UkoppZRSweVa7KmkqoF/L9/HU9dM4vpn17Up5BPJQcm6wgpGZSeREu996Z0xOckRkWa8bO9RZg3tg0jvijTZbML43FSW3zGLstomtpVU09Jiul38yRg7LbUlmJZGJCqWqMQcRMLvRoo3n6T5wPeBu6znXwA/whHIzu7itbOMMYUikgN8ICLbXFcaY4wV6HrNCogfBpg6dWpkj5BXSimllFJhz1nsyTlGNi8jgaevmcS0gWksv2MWe47U0mI3EV+Rdm1BRbfHjI7KTuatrcU0t9iJjgq/YAugqLKeXaU13HpSnk/2Z7MJuSnxJMVEM/nvn/HdGXlMHpTu9euNsdNYuomSNy6juTKf6NQ8ci58idis8WEX0HbZWmNMnTHmr8aYudbjL8aYWmOM3RjT6W0SY0yh9W8J8ApwIlDsTB+2/nVOHlUIDHJ5+UBrmVJKKaWUUmHLXbGn655dx9H6ZnJT4vndhzu589VNER3IltY0sL+8jklejpd1GpOTTFOLYe/RWj+1zP++2OcYLzurl+Nl20uJj+bMkVm8uqkIYzz38Rljp7mmiKbK/TTXFNFSW9IayAI0V+ZT8sZltNSG35y+3kzNM9OqOrxDRPY4H168LklEUpw/A98CNgGvAzdam90IvGb9/Dpwg1XV+CSgwiUdWSmllFJKqbDUVbGnkdlJ7Cyt6TQgCXfrCisB74s/OUVCRePP9x4lIcbW7WP3xiXj+5FfVsf6g5UdglZj7K29sIeWnELBYyM4tOQU7A0VrYGsU3NlPrQ0+rx9/uZNmvGjwA+BNUBLN/bdF3jFyguPBp41xrwrIquA50XkZiAfmGdt/zZwHrALqAUWdOO9lFJKKaWUCknOCrSuAa1rsadRWcnUNLZwqLKB/mnxwWqmXzkrGU8akNqt143OTgJg++EaLvR5qwLji71HmT44g1gfFfdyHe967dgYFuWlsWr/UcbG5rdJHc4+5ykADr97fZte2OaKvUSn5rUJaKNT8yAq1iftCyRvgtkKY8w73d2xVe14gpvlR4A5bpYb4Lbuvo9SSimllFKhLCcpjievnsQNz7kv9jTSCth2HK6O4GC2nKF9EslI7F7AlJEYS05ybNj2zFbVN7OusIL/nTPSJ/tzN971lUueo9Ze3SF1+PC719P3kjc79MKWf/Vbci54gZI3r2gzZjYqMccnbQwkb4LZj0Xkz8DLQOsszsaYtX5rlVJKKaWUUhHCbgy/en87T187mYFp8cRF28hJimsdIzsqyxHM7iyt4fQRWcFsqt+sLazocZrtmJxktpdU+bhFgbFifxl20/Pxsu2rDgMdgtb6D66m3yVvUOgmdViiEzr0wrbUFhOVPIB+V37uSC2O8GrG061/p7osM8AZvm+OUkoppZRSkWVNQQUf7TrCt8vrmDmkY1AzKN2RcrzjcE0QWudfdrvhUFU9j8ybSHJsFHZ796eRGZWdzKubivzUQv+x2w3p8dF8/L2TGZGV2Omxu5sqB+jQC9v3krfcjndtJtZt6rBEJ5Bz4UsdKhdHJWSGZfDaXpfBrDGmq+l3lFJKKaWUUh58uPMwAHNGuu91tdmEEZlJ7CwNz1RaT9xNSfTagmndnoJoTE4ypTWNlNY0kBUm8/A6j33eU2vaHPu4vsmY+sNdBq3Z5z4NIhx++9p24133uA1a99fY6HPmYvjwqg5Ba1RCZkT0wrrjTTXjviLyqIi8Yz0faxVvUkoppZRSymt2u6Goqp78slqKquqx2yO3eq+rpTtLmTQgtdNAbFR2UsT1zLqbkujiRasoqWno4pVtOSsaby8Jn/Pj7th/+d42Go9sblNZuLH0a5rK93Qc7/rOddhiUz2Od41OdcxZ6wxavzwIl7xaQ9blnzHopl30u/Lz1nljRWxEJ+USnTqY6KTciAlkwbs048eBRcC91vMdwBIcVY6VUkoppZTqwG43lNQ00NBsJy7aRlZCLFtKqnrdSxduahqa+XJfGXecMrTT7UZmJ/Pm1mJa7IaoCDkfXU1J5K3R2VYwe7iamT6eq9Vf6prs9EuJ5am5A+ibKBTXGpJjoyl987x287teTt9L3nCbOizRiV6Pdz2xuZpbXviaJzY18N2ThwTyUIPKm7A8yxjzPGAHMMY0070pepRSSiml1DHEmWI5Y+Eyhv5uKTMWLiO/os4nvXThZtm+ozS22DnTQ4qx06jsJJpaDPlltQFqmf85pyRy5Tolkbfy0hN4Zf40Jg9IC8ke/fbzu24+VMGhilpeujiJvBUXEf3qCeStuIixfezug9ao+NaeVifX8a7te2GjEjI79LSOy01hRFZSWI4t7g1vemZrRCQTR9EnROQkoMKvrVJKKaWUUmHLXYplUWWDT3rpws2HO0qJjbJ1Wc12ZJZzep4ahmUmBaJpfpeTFMeLN0zl8idXu52SyBt2u2FLSRV3vbYp6D363hZp6n/mk/SLEmo+9G5+V4lJ8likydvxriLCD2YOYVBGAnuP1pIQ07ZidqTyJpi9G3gdGC4iXwDZwOV+bZVSSimllApb7tJLS6obyMtIaLO8J7104WbpzsPMHJJBYmznX7tHWam0O0trOCcQDQsAm01YdaCMv188jgn903oUYHkad7v8jlnkpgRuTl5387vmXPgiEp3UYbxr9Yc30PeSN6jwdn7XLoLW6KTcLttntxtOHtqHy59YHfSgP5C6/OthzSd7GnAy8B1gnDFmo78bppRSSimlwpO79NInVx/g5fnTWpf3pJcu3ByubmD9wUrmjMructuc5FhS46PZcTiyKhr/96v9/O3TPQztk0huSny3Aytfjbvtrvapwy21JR2C1pI3LgfT7DZ1GGu8qyvX8a6+LtJUUtPQGsjCsZPG70014yuABGPMZuASYImITPZ3w5RSSimlVHhKioni0XkT2gSuvzp7NMf3TWH5HbP48gez+O8VEyK+1+ijXaUAXY6XBUea6MisJHZGUEXjosp61hVWcs6YnB7vw1fjbj1pH7QaY2/thXWtOmxvqHQftHoY79os8V6Pd/WFYAX9weZNmvHPjTEviMgsYA7wF+AhYLpfW6aUUkoppcLSK5uKeOjLfbx/60nERtuIi/4mvTQ3JZ6/frKHB5btpfy35xBviwp2c/3mw52lpMVHM2Vgulfbj8pOZkV+mX8bFUDvbnfMr3teL4LZnKQ4XlswrUMVbF/06LtLHc4+9ylAOPzOdV7N72qPSiR6zmJY+s38rtFzFlNrSyUzKytg87s6g/5jLY3fm6NzVi4+H/ivMeYtINZ/TVJKKaWUUuFsyfqDFFU1MCIribyMjumlpwzrQ2OLnVUHyoPXSD8zxvDhjsOcMSLL66l2RmYlsa+slobmyJg45N1tJfRLjWNC/9Qe78NmE8bnprL8jlmsvPMU/nnp8Yzrm+KTHn13qcOH37keW1y61/O7Rsf34aBtKIdmvUnzJRs5NOtNahJG0ichLqDzuzqD/mMpjR+8C2YLReQ/wJXA2yIS5+XrlFJKKaXUMaa0poEPdhzmyokDEHEfcMwc4qjsu2zv0UA2LaD2HKklv6yOOSO7Hi/rNDI7CWNgd2n4T8/T3GLn/R2HOXt0jsfPgbecPfqrD5RzwaMr2XPUN+fHtDR6mN81wevxrp/uLeP2VzaTlNqf2LTBDO6Xx7As3wTb3eEM+r+4fSYff+9knr9+SsSn8YN3Qek84D3gbGNMOdAH+B9/NkoppZRSSoWnlzYeotluuHpSf4/bZCbFMrZvckQHsx/udKTYnjmq6/GyTqOyHBWNd5SGfxGoFfvLKK9r4txepBi3d6ZVSOvDnaU+2Z9ExfZ6ftdn1haytaSaYZmJbrMQAslmE/qnJXDnq5v4xXvbIz6QBe+C2X7AW8aYnSJyOnAFsNKfjVJKKaWUUuFp8bqDjMlJ5oR+naeWzhzahy/3HaXFbgLUssBaurOUQenxrfPHemNktmPbSCgC9c62EqJswlleVHL21vDMRPIyElhq3SjorajEHI9Ba2zWeLdVh13VN7Xw8teHuHR8PxJiQmfs99RB6aw8UI4xkfm75cqbYPYloEVERgAPA4OAZ/3aKqWUUkopFXYKK+r4bO8Rruokxdhp1tA+VNQ3s7moKkCtC5wWu+GjXaXMGZndrRTb9IQYspNi2VEa/sHsu9tKODkvg/SEGJ/tU0SYMzKbj3Yd8clNEBGbx6DVm/Gub20tprK+mWsmD+h1W3zpxMHpHK1tYs+R8E9X74o3wazdGNMMXAo8YIz5Hxy9tUoppZRSSrV6fsNBjIGrOkkxdjplaCYAn+894u9mBZTdbth3tJaXbpzG3acOw97NoGtUdhI7w3yuWV9MyePJmSOzKK9rYm1BhU/215siTc+uLSQ3JY7ZI7xPJQ+EaYPSASK6wJqTN1erSUSuBm4A3rSW+e4Wi1JKKaWUighL1h1k8oA0RmUnd7ltXkYCA9Li+SKCxs3a7YZNRZWc+Z/lzH7oSy58bCWbiiq7FdCOzE5mZ5j3zDqn5PHleFmnM6zA8UMfpRr3VFltI29tLeHKif29rlYdKONzU4iPtrGyk2DWbjcUVdWTX1ZLUVV9t2+6hApvgtkFwAzgd8aYvSIyFHjKv81SSimllFLhZHdpDSsPlHPVJO9SLkWEU4b24fO9RyNmbF9JTUPrfKgA+WV1XLxoFSU1DV7vY2RWEocqG6iqb/ZXM/3una3FvZ6Sx5OcFMd+l/qoCFRPvfx1EY0tdq6dPDCo7XAnJsrG5IFprNrvfs5i502XGQuXMfR3S5mxcFm3b7qEii6DWWPMFmPMHcaY56zne40xf/J/05RSSimlVLhYvL4QgHkTvB+NNnNoHwor6luDv3DX0GzvcCz5ZXU0NNu93scoZxGoMK1o3Nxi54OdpT6ZkseTOSOzWLb3KLWNwQv4n11bwMisJKYMTAtaGzozdVA6awsraG7p+NnzxU2XUNFlMCsiI0XkRRHZIiJ7nI9ANE4ppZRSSoWHJesPMmtoHwZnJHr9Gue42UiZoicu2kZeRkKbZXkZCcRFez8O05mivSNMKxo7p+Q5zw8pxk5njsymscXOF/vc9zz6W2FFHZ/sOcI1k7sudBYsJw5Kp67JzubijgXWfHHTJVR485u1CHgIaAZmA08CT/uzUUoppZRSKjzY7YY9R2p4YO7xLLxkfLdSFcflppAWHx0xRaBykuJYcv2U1oA2LyOB1xZMIycpzut9jMhy9syGVzDrHIOZHBvNy/On+nRKnvZOGdqHmCjhwx3BGTe7eJ2j0Nk1XqbUB8OJgzMAWLm/vMM6X9x0CRXRXmyTYIxZKiJijMkHfikia4D7/Nw2pZRSSikVwpxj75wpi87gbXxuKjYviuJE2YSZQ/pETBEom034ct9R/nHxeCYOSCUu2kZOUpxX58IpISaKQenxYVXR2OPnIM67z0F3JcVFc3JeH5+Mm7XbDSU1DTQ027u8Xs5tTx6SwXu3nsTwTO/nEA604ZmJZCTEsOpAOd8+Ka/NupykOJ67bgpXP72mzfXqzk2XUOFNMNsgjhrVO0XkdqAQ6LpEnVJKKaWUimiext4tv2MWuSnxXu1j5tA+vL2thCM1jWQmxfqzuQHx8tdFtNgNX/xgVo/3MSo7OazSjH3xOeiuOaOy+MV72ymtaSCrh0FYd27G9PbGTaCJCNMGpbudnkcE/vHZbh6ZN4ERWUk9uukSKrzpS74TSATuAKYA1wM3+rNRSimllFLhJFKmueguX4y9O2VYHwC+2Bf+vbPNLXbWFlQw1Zrns6dGZiWxo7QmbKo8B2MM5pkjszEGPt7V8xT17hRCCseiSVMHpbOpqKpDoawNByt5fsMhdh6uIS8jkdyU+LAMZMG7asarjDHVQCVwhzHmUmPMCv83TSmllFIq9EXSNBfd5Yuxd1MHphMbZePzPeEfzG4rqaa2qYVpvQ1ms5Mor2viSG2jbxrmZ8EYgzl1YBqp8dG9mm+2O0F4OBZNOnFwOi12w7rCyjbLn1lbSLRNuGJC/yC1zHe8qWY8VUS+BjYCX4vIBhGZ4v+mKaWUUkqFvnDssfGVnKQ4nr12cq8KHsXHRHHi4PSI6Jl1pnT2NpgdlRVeFY2zEmJ54qpJvfocdFd0lI1bpw/mknG5PcqIaGy2U1hR73UQHo5Fk5yfw5UHvqn6bLcbFq8v5NwxORGR1u/NmNnHgO8bYz4HEJFZOCocn+DPhimllFJKhQNPPTaV9c3kJHlfXCYc2WzCs2sL+M/lJzA6J7nHx3jlxP4MSItn39Fa4mPC9zytOlBOanw0I7N6VxhofG4yL904lbT4aIqq6oN2PrwtjvTY6gMsWrmf1286kdT46IB81u12w2Un9OeqdkWMPI1hdT0Wmwi//WAHGw9V8uy1k7nmmbWt+3jVQxDe0NTCI/MmcMvzG8KmaFK/1HgGpsWz+kBF67LP9hyhsKKeP18wNogt8x1vgtkWZyALYIxZJiLBm6FYKaWUUiqEOHtsXAPavIwECivqKK5q4Ibn1oVFwZieaLEbnlhTgB3hn6N7Nq+o3W6YPjiDK55cHfbnafWBcqYMSOtVu+12Q3l9M3e/vjmo58PbgkclVQ3c89ZWJvZPZXxuSsDmXS2paWgNZKHzolPujuXReRO47IR+TB+cwfI7ZlFe18TW4mo2HqpkQv+0Du/307e3cbCins++fzJ2CJubUycOTmfl/m96Zp9ZV0hSbBQXjesbxFb5jjf94p+KyH9E5HQROU1E/gV8IiKTRWRyVy8WkSgRWScib1rPh4rIVyKyS0SWiEistTzOer7LWj+kV0emlFJKKRUAOUlxvHDD1DYplq/On0ZmUlxrIAuRmX68uaiK6oYWZuRl9HgfJTUNrYEshO95amhuYcOhyl4XfyqpaeCSEEhb9zZ9/kdvbKamsZl/XXZ8wAJZ6N4YVnfHcvPzGzihvyMwz02JZ0xOCo+t3M8PXtlESVXbY1xXWMHi9QeZNSyTQRmJYVU0adqgDHYfqeVITSMNzS28tPEQc8fnkhjrTZ9m6PPmKCZY//6i3fJJgAHO6OL1dwJbgVTr+Z+AvxtjFovIv4GbgYesf8uMMSNE5Cpruyu9aJ9SSimlVNDYbMIrGw+ycO54TshNJc5Kkz1QURd2BWO6a4XV43NSL4LZcCys487Gg1U0tZhej5cNlfPhqR11TfbWlN2KuibmHt+PmUMzGJOTEtD2ecqIcDeG1dtz+pcLx3H8Xz7h5+9t4z+XT2hdfu/bW+mTGMP/nD7cx0fhf87P4+qCcuqaWiiva+KayQOD2ygf8qaa8exOHp0GsiIyEDgfeMR6LjiC3xetTZ4ALrF+vth6jrV+jgTy9o5SSimlVA8cqWnkr5/tZenOUvL6fNNjE44FY7prxb4yspJiGZ6Z2ON9RMp58lXxp1A5H57aUVBex9rCCmYsXMZx//cJd7++mZPy+gS8endOUhyvLZjmVdEpb8/p6Jxkbps5hEe/2s+Gg45xpp/sKuXd7Ye554yRpCXE+Olo/GfKwDREYOX+cp5dW0h2UixnjswKdrN8xt+/Ff8Afgw4b3tkAuXGGOeY2wJggPXzAOAAgLW+wtq+DRG5VURWi8jqw4d7XopbKaWUUsoXnl1XSGOLnQXTBrVZ3p0v2+Fqef5RZuRl9Cq9NFLO0+oD5WQnxTK4XdDUXaFyPnKS4nj++ilt2vHijVMBOqSFXxKENGibTRifm8ryH8zis9tm8vhVkzyOK85JiuO566Z4dU7vO2sU6Qkx/Gf5Pooq64mPieKNm07ktpPz/H5M/pCWEMPo7GSW7jzMG1uKmTexP9FR4XWjqDN+S5YWkQuAEmPMGhE53Vf7NcY8DDwMMHXq1MifwE0ppZRSIW3Ryv1MHpDWoWhM65ftO2ZxsKKegop6RmUnhcU4O28crW1k++Eabpg6qOuNO+E8T8tun8mu0loSY2zhWfypoJxpg9J7PW7U9XOzv6yOo7WNjOubEvDzYbMJn+89wj8uHs/EAamtBY/2l4dO+rzNJuSmxvP7j3bx3xX5lPzybFLiO4Y3Npvw0Jd7efiKCYzKTuq0eFNGYiz/uux4MhNjmfHAsrAvSgZw1YR+HN8/jT6JsQxIi8NuN2F5HO74MyyfCVwkIvuAxTjSi+8H0kXE+SkbCBRaPxcCgwCs9WnAET+2TymllFKqV9YVVrD+YCULTnQf0DmLyxysdBT1+WxP+M+l6rQi3zFetjfFn5xsNmFAWgI/fXsrd722Oey+aNc0NLOluKrXxZ+cnJ+bdYUVnPfISjYXV/tkv921eN1B7v98T5uCR/ExoZEG7eqKE/rR0Gznra3FbtdvL6nmqTWFbCqq9Kp40ylDM1un4IHwLUoGjkrOZ4/py92vb2b2Q19y1n9WsKmoMuBp4f7S5adORBJF5Oci8l/r+Uir17VTxpifGmMGGmOGAFcBHxljrgU+Bi63NrsReM36+XXrOdb6j4wxkXGWlVJKKRWRFq06QGyUjasnDeh0uzkjs0iIsfHGFvdftsPR8vwybILPAjiA2SMyWXmgnMr6Jp/tMxDWFlZgN70fL9ve3PH9sAm8sPGgT/frjeqGZtYdrOTkIX3aLA+VNGhXM4f0oV9qHC9tPOR2/eL1hYjAvAn9vdpfY0toFOHyBU9TGIVjYO6ON7dQFgENwAzreSHw216850+Au0VkF44xsY9ayx8FMq3ldwP39OI9lFJKKaX8qqG5hWfXFjD3+Fz6JMZ2um1CTBRzRmTz5pZiIuVe/Yr8Mk7ol0pynO9Grc0ZkU2L3fB5mPVgO4s/+TKwB8hJieP04Vm8uOFgwD83K/eX02I3zBraNph1TYPee+8clt8xK+jptzabMHd8P97eVkxNQ3ObdcYYFq8r5NShmQxI8248c6gU4fKFUKmO7S/eXJHhxpj/A5oAjDG1QLc+rcaYT4wxF1g/7zHGnGiMGWGMucIY02Atr7eej7DW7+nmsSillFJKBczrm4s5WtvUofCTJxeM60t+WR2bi6r83DL/a7EbVu4v79WUPO6cPCSD+GgbS3eV+nS//rb6QDmD0uPpm+L73snLTujH9sM1Af/cLNt7FBH3aeTONOhQmm/1ign9qGuy89bWkjbLNxysZPvhGq6a5F2vLIRm73NPRVJg7o43R9EoIgk45pRFRIbj6KlVSimllDpmLVq5n4Fp8cwZme3V9hcc1xcgIlKNtxRXUdXQzIwhvg1m42OimDm0Dx/tDK9gdtWBcp+nGDtdenw/ROAFDym0/vLlvqMcn5saNtPRzBqaSd+UOF5ql5L93LpCom3CZSf083pfodj73FORFJi7400w+wvgXWCQiDwDLMUx3Y5SSiml1DHHbjfsL6vlJ2eM5KUbp3qdrtY/LZ4pA9N4MwKC2eWtxZ/6dLFl980ekcXGQ5WUVIVH38nR2kZ2H6n1eYqxU9+UOE4dmtkhSPOnFrtheX4ZJ/v4ZoU/RdmEueNzeWtrCbWNjlRjYwxL1h/krFHZZHUzeAvF3ueeiKTA3J0ug1ljzAfApcB84DlgqjHmE/82SymllFIq9Njthk1FlZz2ry+Z/dCXzHtqTbcqg14wti8r9peFTaDmyYp9ZWQlxTI8M9Hn+54zIguAj3eHR+/smoIKwPfFn1xdPqEfW4qr2RKgVOOvD1VS1dDMzKG+v1nhT1dM6E9tUwvvbHOkGi/PL2N/eV23UowjUaQE5u54mywdD5QBlcBYETnVf01SSimllApNJTUNXLxoVY8rg144ti/GwNvbSrreOIQtzz/KSYMzej2nqjtTBqaRGh/N0jBJNXYWf5oyMN1v7+FMNX4xQKnGy/Y6CnDNGhJewewpQ/uQnRTbep6eW1dIfLSNi8flBrllyl+8mZrnT8AXwL3A/1iPH/m5XUoppZRSIae3lUEnDUhjQFo8b24p8kfzAuJobSPbD9dwkp9SUKOjbJw+PJOPw6QI1OoD5YzKTiLdj2NL+6XGM2tIH14MUKrxl/uOMiAtnsEZ3lX/DRXRUTbmHt+PN7cUU93QzAsbDnL+cX1JjQ+Pcb+q+7yppX4JMNpZdVgppZRSym43lNQ00NBsJy7aRk5SXESlrnnirAzqGtB2pzKoiHD+cX15dl0BDc0txEVH+aupfvNV63hZ/42nnD0ii9c3F5N/tJa8Pr5PZfakO59r57Z3nzYcjMFuN379Hbh8Qn/ufHUT20qqGJOT4rf3Afhi31FmDe3jl553f7tiQj82HKzg60OVLLl+KllJsX6/Nip4vPnLuwfQ2xlKKaWUAr4ZNzpj4TKG/m4pMxYu69a40XCWkxTHU1dP6lVl0AvH9qW6oYVPdh/xVzP9anl+GTbx7xhR57jZQE7R053Pteu2p/7zC65/bp3ffwcuPd6RKtvbVGO73VBUVU9+WS1FVfUd2ry/rJYD5fWcHGYpxk6nDu3D7887jmueWcvsh77kgke/Omb+Ph2LvAlma4H1IvIfEVnofPi7YUoppZQKTb0dNxrODPDr93fw9DWTe1wZ9IyRWSTE2Hhjc3hWNV6RX8bx/VJJjvMmwa9nxuWm0DclLqBT9HTncx2M34EBaQl8+8RBTBuU7jEQ7Yo3AfsX+xw977PCrPiT05G6Jm5asv6Y/Pt0LPLmr9Dr1kMppZRSqtfjRsPZusIKPtxVyoLpg3tc6TUhJorvnzyE2SOyyC+rDWqadrfTaqsb+PlZo4iyiV9TN0WEM0Zk8dGuUowxAUl37c7nOhi/A3a74abpeVz19Bryy+paswK6czPFUxC+/I5Z5KbEA47iT8lxURyf699UZn85lv8+HYu6DGaNMU8EoiFKKaWUCg+exo3awnB8XXd9uPMwAGdYabA9YbcbLp/Qn6ue6nlQ4gvOXjpncNNZO7qzra+cMSKL59YVsqW4mnEBCKy6Mx66ucX0aux0T5TUNLQGsuA+EO2KN4Hel/uOMiMvg+go/x2LP/V2XLsKLx6vqog8b/37tYhsbP8IXBOVUkopFUpykuJ44YapbcaNPjpvAr98bxu1jc1Bbp1/Ld1Zygn9Uumb4v0Y2fZKahpaA1kIXhpkqKfVOm8YfBSgcbM5SXE8e+2UDp/rXaU1bbZbV1jB917cyKIrJ/Zq7HR3+aLHMUqktc1OroFeRV0TGw9Vhu14WXBcx9cWTAvotVHB01nP7J3WvxcEoiFKKaWUCg82m/DJrlL+cfF4JvRPJT7GxpbiKh5fXUBWUiw/PHU4DS2RV+W4rqmFZXuP8v2Th/RqP6GSBumpHdUNLdiTvkk/jrHZKK9vCnibh2Ymcsm4vpzQLyUg6dg2m/DA53t4ZN4ERmQlYRPhZ+9s5bl1B3nz5hM5oX8qVfXNFFTUkRBrY0RWEsvvmBWwit6+6HFctGo/j8ybwC3Pb2jtYX/6mslkJ8YCsGJ/GcaE73hZcFzH8bmpAb02Kng8BrPGmEPWv/mBa45SSimlQp0xhge/2MfEAam8uuBEAHJT4nn6mknkJMcx44FlQU2f9Zcv9h6lodnOmSN7nmIMoZMG6akdB8prKa6q57pn17Vex3e/fVLA22y3G/7f6SO47tm1Afk8bS6qYvGGg8wc1oc5I7MBWHjJ8cRHRxFlE2Ys/OZz/fL8afRPjQ/o59rZ49g+1dvbHscPdhzmF+/t4MG541sDveKqBu58dRNXTxrAHacMY9neo0TZhOmD/TftUiDYbOJ16rUKb52lGVeJSKXLv5WuzwPZSKWUUkqFjq8PVbG/vI4Lx+a2WT57RFZrjw9EXhXRD3eWEhMlnDIss1f7CZU0yJykOJ6+pu00Q6/Mn0Z6QkxrIAuO63jPW1t4eX5g21xS09AayDrb4c/P05L1hdgELju+X+uytIQYfvGtUR0+15c+HvjPdWuP4w9m8fltM3n8qoleB/Y1Dc1854UNjMpO4qYTB5ObEk9eRiJTB6aTmxLH4nWFbCup5oKxfXn75hNJjAm/+Y/VsamzntnwLGGmlFJKKb96fUsRAOcfl9Nmeaikz/rL0p2HmZGX0espaVyDkt1Hamm2m6D0XovA75bu5MmrJzHY6mXNSYrjQEVdh+v42uZi/nnp8QFN3fTV58mbis3GGF7YcJDThmWSm9q2R6/JbkLmc22zCbmp8fz2w50sWrWf0l+fQ4Kt68DzZ+9uY19ZHZ9+/2TiXQJVm014+urJrC4s59z/rojIjAoV2TrNDRGRKBHZFqjGKKWUUir0vbG5mOmD0zt86XemrbqKlCqiR2oaWVtYwRkjsn2yP2dQ8vTaAi549CsaWwIfGH19qIp3tx1m95Fa8jISyU1xpM16uo7O1E3Xbf2pu58nu91QVFXfZg5Wb+ZVBdh4qJLth2uYN7F/r9sRCBeN60tdk73TeXid52PH4WpOHZbJH88b4zaroKqpmfmLdV5WFZ46/S00xrQA20VkcIDao5RSSqkQdqiynlUHyrlwXG6Hde7SZ1+NkCqiH+8qxRg4c1Tvxsu2d+HYvtQ0tvDJ7iM+3a833t/hmGborHbHFEpp0N62w13QuvFQJTtKa7yqwvz8hoNE2YRLXVKMe9KOQDlteCbJcVGtWRLtuZ6PMX/6mLtf38y3Rud0COIh8jMqVGTzJk8mA9gsIiuB1trkxpiL/NYqpZRSSoWkN7cUA44grD3XKqJHahrZcbiG+qaWiEhV/HBnKSlx0UwblO7T/Z4xIovEmCje2FLMOWNyun6BD3244zBj+yYzIK1tr2OoVIN1tmPZ7TPZfaSWGOu5u3a4mzpo7uOrePuW6V0GasYYnl9/kDNGZJKd3DFADZXz4SouOopzRufw5pZi7HbToS2ezoe7OWlDpSCZUj3hzaf05zim5/k18FeXh1JKKaWOMW9sLmZIRgLjc92X1nCmog7PTOK7L27kDx/tCnAL/WPpzsOcPjyTmCjffsGPj4nirFFZvLmlCGM69pr5S31TC5/tOcKZo9ynTQc6pdgTm00YkJbAv77Yx8WLVtHi4Rx56l1MiInqMkV4XWEFu4/UcsWEjinGru0IhfPh6sJxfTlU2cCagooO67rT2xqKPc9KeavLv8jGmE/dPQLROKWUUkqFjtrGZj7ceZgLx+Ui0vmX+fiYKG45aTBvbClm75HaALXQP/YeqWX3kVrm9HJKHk8uGJvLgfJ6Nh4K3GQRX+w7Sn2znbNG+mYMsL9dM3kApTWNvL/9sNv1nsa1JsXZOgRqz18/pU2gtmT9QaJtwtzxHVOMQ9l5Y/piE3jDTapxd8b5uvY87713DsvvmKXFn1TY6GxqnmXWvzo1j1JKKaX4cGcp9c12tynG7nxvxhBsIvzry33+bZifLd3lCKDO9FPg56wK/YaVwh0I728/TEyUcNrw3k0zFCjnjM4hIyGG59YVul3fJyGGRVdO7NC7mJkQ1yZQe/iKCfzsnW0crmkEvqlifObILDKTYgN2PL6QmRTLzCF93H5uquubeWTeBK97W0Ox51kpb3Q2Nc8s61+dokcppZRSvL65mNT4aE71cp7VgekJzB2fy2Mr9/Ors0eRGNu7KW2CZenOUvqlxnFc32S/7D83NZ4TB6Xz5uZifnbmKL+8R3sf7jzMyXl9ej3NUKDERtu4fEI/nllTSHVDc4d2L15/kIe+3Mfbt0wnMTaqw7hW5zjR2sYWPtt7lO+9tJGXbpzKqgPl7Cur475vjQ74MfnCheNy+fGbW8g/Wkten8TW5Xe+tpnGZjuf3zaTFmNCYpyvUv7g9cAPEckRkcHOhz8bpZRSSqnQYrcb3tpazLljcojtRmGY22cOpayuiWc99KiFMrvdUFRZz20nD2HJ9VPw55DWC8b1ZeWBcooq6/33JpbD1Q2sK6z0eWVmf7t20kBqm1p4bXPbtFq73fDHj3ZR12RnTE5yp72Lx/VN4TfnjOFQZT2bi6qIibLx8vypzB3nXbZBqHFmSbj2zi7deZh3tpVw9pgcBqYnaG+rimhd/m8kIheJyE5gL/ApsA94x8/tUkoppVSIsNsNe47WsPi6Kdw7Z6Tb6T08OWVYH07ol8qDy/YFtMCRJ+7mIvW03aaiSmY8sIxT//Ul1z+7zu38pL5ywXGOoOTtbSW93ldXx7jUmpv0LA/Fn0LVrKF9GJQez3Nr294YeWXTIbaVVHPPGSO6HMsNcNesofzp/LFc+NhKpvz9M3742mbyy+v8dm39aXROMqOyk1qrjNvthh+/uYW8jARunzkkuI1TKgC8ubX6G+AkYIcxZigwB1jh11YppZRSKiQ4g7qz/rOC2Q99yYWPrexWUCci3DZzCBsPVfL5nqN+bm3n3M1FuqmokuZme4fgz93UJu7mJ/WVCf1TGZQe3xqU9JSnY3S9Xu/vOExGQgxTBqb3stWBZbMJV00cwHs7DnO42nEdjDH8fulORmYldVqN2FVpXSM3Ll4XsGvrbxeOzeXj3aVU1jfxzLoC1hVW8rtzxxAfExXspinld94Es03GmCOATURsxpiPgal+bpdSSimlQoAvgrprJw/gzBFZ1us77xH1J3fH8ov3tvN1cVWb4G9NYQVFlQ1eT23iCyLC+cf15f3th6lvaunxfrq6XsYYPtxxmDkjs4gKw7TTaycPpMVueGHDIQDe3VbCusJKfnLGCK+PpzvT1oSDqyf2Z/F1UzhQXkdmYiw3TBnAVRMHBLtZSgWEN8FsuYgkA58Bz4jI/UCNf5ullFJKqVDgiy/+8dFR/PKc0dy4eJ3H3sJAcHcsN0wdxKWPtw3+5j25ultTm/jKhWP7UtvUwse7Snu8j4q65k6v1/bD1RRU1HucXzbUndA/lfG5KTy7rqC1V3ZQejzXTR7o9T6CcW39xW43REUJd7++meP/8im3vfw1t88aFuxmKRUw3vzWXgzUAj8E3gV2Axf6s1FKKaWUCg2++OJfUtPAtc+sDXpap7tjyUmOcxv8pcVHd5iftLOpTXxh9ogsThvWh7SEGK96sF3Hxu4vq+W+d7expbiq0+v1wQ5rvGyYzC/rzg9PHcb/O204W4qruPu04fz5grHdKkqWkxQX8GvrLyU1DVzSrif+iidXh23KtFLd1WU9dmOMsxfWDjzh3+YopZRSock5jrKh2X5MTXORkxTH41dNZP7i9eSX1fXoi3/IpHUaeGTeBG55fkPrsfRLjSMvI6FN+/IyErDZpHV+0kBd89goG78+Z0xr4O881+NzUzu8r3NsrDOlOC8jgUfnTaCirolXF0xrDXDyMhJ4/KqJxNmsYHb7YYZnJjI0M9FdE0Ke3W6YOCCttTc9LyOBVxdMw243Xl+bYFxbfwmZ3y2lgsRvk4uJSDyO1OQ4631eNMb8QkSGAouBTGANcL0xplFE4oAngSnAEeBKY8w+f7VPKaWU8pa7wMFTkBFp8svquOetrbx041Qyk2J79MXf2SPaPmAMdFrn46sP8NqmIj7+3smIONqVlRDLawumdbi2zmN0zk8aCCU1DdzwXMfCRMvvmNWhHe7Gxt78/AaW3zGLnKS41kCttrGF77y4gUFpCfzh/OP4n9nDibJJt4K/UFJS09AhLfwSD+eoM4G+tv4SKr9bSgWLP2fKbgDOMMZUi0gMsExE3gHuBv5ujFksIv8GbgYesv4tM8aMEJGrgD8BV/qxfUoppZRXPBXV6e4X6HD04saDfLW/nIyEWPIyetab50zrdBcwBooxhidXF5CZGMOQPm2PI1R66brTy9bZtu0Dtb9eNI6q+mZO+9eXYX8zRnsi2wqF3y2lgsljMCsiS40xc0TkT8aYn3R3x8YxmVy19TTGehjgDOAaa/kTwC9xBLMXWz8DvAg8KCJiQmFSOqWUUse0Y/kL9IsbDzF1YFqv0lJd0zqLKhvYV1ZLv9TABoyrDpSzraSah684wW37QuGmRHd62bqz7aD0BGYsXBYRN2O0J7KtSEqZVqonOvvN7yciJwMXicgkEZns+vBm5yISJSLrgRLgAxzFo8qNMc3WJgWAs3b4AOAAgLW+Akcqcvt93ioiq0Vk9eHDh71phlJKKdUrnoogHaqsp6q+qcMcpZEi/2gtqw6Uc9kJ3s3f2RlnwJgQE8Wlj6/msZUFPmih955YXUB8tI0rfHAs/tKdwkTGGv/rzbaRdDMmkoo3+YrzdysvI5HclHgNZNUxpbM04/uAnwMDgb+1W+fsYe2UMaYFmCgi6cArwJieNbPNPh8GHgaYOnVq5HxjUEopFbJykuJYfP0UrnpqTWsq39PXTOa/K/K5bsogblqyPuzTN915caNjLs8rJvTz2T5H5yRzytA+PLpyPz+ePRwR/5+nhuYWFq8rZO7x/UhLiPH7+/WUay9b/tE6jtQ2MjYnxe1n6YFle/lkVymffO9ksMb/euqRi6TeTO2JVEq58vhXzBjzojHmXOD/jDGz2z26DGTb7asc+BiYAaSLiDOIHggUWj8XAoMArPVpOApBKaWUUkFlswkPL9/HQ5edwN5757D8jlnMyMvgp3NGtQayELwpZ/zlxY0HmTwgjWGZST7d7y0nDWZXaQ2f7QnMf/NvbC6mrK6JG6Z6PxdpsDh72faX13HBoyt5Z3tJh23qm1p45Kv99E2JI69PYpc9cpHWm6k9kUoppy5vyRljfiMiF4nIX6zHBd7sWESyrR5ZRCQBOAvYiiOovdza7EbgNevn163nWOs/0vGySimlQsHXhypZtKqArSVVbb5Ax0RJxKRvtre/rJav9pdz2Qm+65V1uuz4fqTFR/PIV/t7vS/XuVY9pXk/ubqA/qnxnBlGc6teMj6XAWnxPPjF3g7rlqw/SGlNI7fPGurVvlx7M503YyIle0ApdWzrMpgVkT8AdwJbrMedIvJ7L/bdD/hYRDYCq4APjDFvAj8B7haRXTjGxD5qbf8okGktvxu4p7sHo5RSSvnDoyv3ExMlXD+lbc+ep7G04Zi+2d5LXztTjH0/xjQxNpprJg/kxY2HKKtt7PF+nFMmzVi4jKG/W8qMhcvYVFTZJqAtrmrgne0lXDdlIFFhFLzFRNn47ow8PthRyraSqtblxhge/GIvx+Ukc8aILK/3p72ZSqlI5M3/tucDZxljHjPGPAacA3TZO2uM2WiMmWSMOcEYM94Y82tr+R5jzInGmBHGmCuMMQ3W8nrr+Qhr/Z7eHJhSSinlC/VNLTy9poC54/uR1S4t01365qthnL7p6sUNh5jYP5URWb5NMXa6ZfpgGprtPLO2sOuNPfA0ZZJrmvez6wposRtuDIMU4/a+PT2P2CgbDy7b17psRX4ZawoquG3m0ICMN1ZKqVDm7a3jdJef0/zQDqWUUiokvbKpiKO1Tdw8fXCHda7pm1t/PJu/XTSOA2V1Yd/rVVBex/L8Mr+kGDtNGpDG5AFpPPLVfrwdVeSaUlxYUUdZbZPbNO/qhpbWbU8anMF7t57E6OxkfxyGX+WkxHHlxP48ueYAlfVNADz4xT5S46PDYvyvUkr5W2fVjJ3+AKwTkY8BAU5FU4CVUkodIx79aj9DMhKY4yGl05m+2TfZcPkTq4mJEs4f2zese838mWLs6qdnjMBmE3aW1pAaH91pVVpnSrGzJzYvI4F3v32S2yq9B8prOVRZzw3PrQv7KtO3zxzKU2sKeGJ1AZef0I8XNhzk+zOHkBznzVc4pZSKbN4UgHoOOAl4GXgJmGGMWeLvhimllApN3hTciRS7S2v4aFcpN00f3GUQJCLceepQ1h+sDFiVXn95aeMhju+Xwig/9mba7YbhWUnc/fpmxvzpY7fjXV25Sym+560tvDy/bZr3K/On0ScxtjWQdW4brlWmpw1OZ8G0gYzMSqSkuoEl10/hh6d4V/hJKaUinVe39Ywxh3BUG1ZKKXUMc9c7Fq49Xt54bNV+bALzpw7yavtrJw/kp29t5f7P93LacO+L8wSa3W4oqWnoME+n3W4oqKjjN+eMISk2Crvd+O26ltQ0MPfxjuNdl98xi9yU+A7bNzTbO6QUv7a5mH9eenyHOUcPVNRFTJVpu93wnRlDuNJljuPXFkzz67VRSqlwEf7lFpVSSgVMSXXXBXciRXOLncdXHeDcMTkMTE/o+gVAQkwU35kxhNc2F7HnSI2fW+id9j3pzc12txWAG5qa2XioktP+9SWzH/qSK55c3WlPaW+5C047Czg9VY52V6U3kqpMl9Q0tAayENm/c0op1V3h91ddKaVUQLQPglbuP8q+stqI6fHqjN1u2FFaw7PXTuFPF4ztVkD3/ZOHECXCA8s6zg8aaO6mrtlXXuv2hsTuI3Vue0r9FTR1N+BsbLbzyLwJbVKKX/NQOdpdlWlP24a67gb9Sil1LOk0zVhEooDNxpgxAWqPUkqpEOAunfiReROIFnFbcCcce7w86W0qdf+0eK6c2J/HVh7gV2ePJjU+JgCtds/dONPiqka3wVFMlAQ0aHIGnK7n+aUbp3oMOB9beYD3tpfw6fdPxkCb9Oj2XKtMt0+lDjfOoD+Sf+eUUqqnOv1LaIxpAbaLSMf5CJRSSkUsd0HQLc9v4Li+yRHT4+WJN3OXduXOU4Yxtm8yu4/UBrVQlrtevZLqBrc9ovExgU3NdQ04d//vGfzj4vG8v/2w24DTGMMzawtIjotmcEZim5TizvbfPv04HEVSL7NSSvmaNwWgMoDNIrISaB0AZIy5yG+tUkopFVSeUhvrmu2tAUhpdSM7S2uwCWEbKLjji7TOyQPS+NP5Y7n08eAWyoqxdezVe3L1AV6eP61D2/olx3foKfV30OQMOAF+/f4OXvr6ELfNHEpKfNuvJyvyy9h9pJafnTnKb20JVZHUy6yUUr7mTTD7c7+3QimlVEiJtnlOJ3YGIIkxUZz84DLmju/HE1dPCmJrfUug12mdJTUN3Li449Qwnir1+suagnIemTeBW57f0Bqg/urs0YzNSXEbHAUzaLr1pDyeWF3Ac+sLufWkvDbrnlpTQEKMjUuP7xeQtoQa16BfKaXUN7yZZ/ZTYB8QY/28Cljr53YppZQKooeX53dZbCc1PoYbpw5iyfqDlFRFTmXVFzYc9LrQkCehULTHGMN9723nsa/2s/wHs9h77xyW3zGL8bmpREfb3KbgBjM196S8DI7vl8LDy/PbLG9stvP8hoNcMr5fhx5bpZRSx7Yu/1cQkW8DtwJ9gOHAAODfwBz/Nk0ppVQwPLu2gN98uJOHMxK67KW7feZQ/vnFPh7+Kj8iUkAPVtTzs3e3c++ZI3rVQxkKRXs+3X2EDQcruX3mUHJTQ79XT0S49aQ8fvDKJlYfKGfqoHQA3t5WzNHaJq6bPCC4DVRKKRVyvPlf9TZgJlAJYIzZCeT4s1FKKaWCI/9oLd9/+WtOHpLB/KmDuuylG52TzLdGZfOf5fk0tYT/VCF//mQXzXbD1RMH9qqH0l3RnlcDXLTn/s/3kJUUyzVhFAReN3kgiTFRPLzim97Zp9cU0DcljrNGZQexZUoppUKRN8FsgzGm0flERKKBwJdkVEqpIGk/32owqtL6k+vx7TpSw5QBaTx19WSio7zrRbxt5hAKK+p5dVORn1vqX0WV9fxneT7XTR7A8KykXu3Ldfzp1z86jb9dNI7K+mafpO1683ncXVrD61uK+c6MPBJionr9noGSlhDDlZP689y6QirrmyirbeTNLSVcNbG/159HpZRSxw5vBp98KiL/CySIyFnA94E3/NsspZQKDb2dczTUuTu+JddP6TBFS2fOO64vQ/sk8uCyvVwxob8fW+tff/5kN40tdv53zkif7M85/jQzMZaLHltFZmIMX915CiI9/9x4+3l84Iu9RNuE780Y4oMjCaxbp+exaOUBnl1biAg0tti5bsrAYDdLKaVUCPLmNuc9wGHga+A7wNvAz/zZKKWUChW+mHM0lLk7viufWtOt44uyCd8/eQiNLXZ2H6kJyx7s4qoG/r18H9dOHsjI7GSf7jsmysZP54xgdUEF72wr6dW+vPk8VtY3sWjlAa6c0J/+aaE/Vra9Ewenc+3kAQzLTGRi/zTevmU6E/ulBrtZSimlQlCXPbPGGLuIPAF8hSO9eLsxJny+oSilVC/UNbYEvSptZ+x2Q0lNQ4dCRZ6Wt+erqrs3nziISQNSOfPfy4Peg+3tsbtuW1TZwDPXTGbiAP8ETTdMGcTvPtzJr9/fwbljcnrcO+vN9Xps5QGqGpq589RhvWpzsBjjKCx21dNrgv5ZUkopFdq67JkVkfOB3cBC4EFgl4ic6++GKaVUsG0uqmJbSXWHlNtAV6X1xJlyOmPhMob+bikzFi5j46FKmppaOizfVFTptqe0sr7ZJ8dX32LnZmsuUwheD7a7c+Lp2F23nfz3z/jh65uprG/2S49ybLSNn84ZycoD5by3/XCP91Pb2OL2eu09UktBeR1FlfVMG5TOB985iUn903rb7KAoqWloDWQh8rIhlFJK+Y4331b+Csw2xpxujDkNmA383b/NUkqpwHMtrLOlqIofvLKRB7/Yy4s3Tu3VnKP+4i7ldO7jq9h5pNZjKqrrMa4vrOAfn+3miasn9fr4QmFeVeheWnigU8jnTx3ERWP7Em0Tr1Ox21+vv36yi8evmtjmej133RSeX1/IjsPVzHhgGaf88wtueX6DxyA+1IXKZ0kppVTo86YAVJUxZpfL8z1AlZ/ao5RSQeGusM7jV01kTE4y2UlxLL9jFgXl9RysrGdIRmJIpDt6+tIfEyVul5fXNXGosoFLH//mGJ+8ehLTBqT1ak5VCI15VcHzOXEGhc5jTI+PprSmMaBBU7RN+OmckV6nz7r7TD559SQm9+94vfqnxnHav77sEJgvv2MWuSnhNW42VD5LSimlQp/H/xlE5FIRuRRYLSJvi8h8EbkRRyXjVQFroVJKBYC7Xrr5i9dj+KYqrQhcsmgV//1qf3Aba3F+6XeVl5FAfIz75XY7rYEsOI7xhufWUd7Y3Ks5VcH9vKrB6MF2d04uHteXg5UNbVKPl+eXU1TZENAU8u6mz7r7TN7w3DqqmjpeL2OtdxWuvZmh8llSSikV+jr7H/tC6xEPFAOnAafjqGzs/ZwNSikVBqobui70NGVgOqcPz+T+z/fQ1BL8ICEnKY7nrpvS4Ut/v+R4t8FAfIzNbwGP67yqG+52zKta09gS8B7s+Cgbj8yb0ObY/3zhWK54cnWboPCmJesZnpXIqwEMmrqbPtud7T3d2AjH3kzXz9Lee+ew/I5ZWvxJKaWUWx7TjI0xCwLZEKWUCpT21W53ldZQVtvkVWrj3acN56LHVvLChoNcMzm4c1+KwMLP9vDfKyYwMjupTYqwMxhwTUUtqWnwa/qmswc7IyGGS59YRVy0jfV3n0Z0VOACqte3FPPQl/v44DsnERNlIy7a5jEotIlwvJvz5K+gqbvps9E28Xp7Z29m+/lnw7U30/lZUkoppTrjTTXjoSLyNxF5WURedz4C0TillPI1d9VuG5rtrDlQzsvzu+6lO29MDqOzk/jrp7sJ9ixlawsrWLzhILuP1HRIEXYGA67LA5W+GRcdxZ8vHMuW4mr+syLfp/vuyqubiiioqGdYn6TWY++s19LdefIXd+f/ueumeDz/L2881KGX2dP10t5MpZRSxyLp6suYiGwAHgW+Blpzm4wxn/q3aV2bOnWqWb16dbCboZQKI0VV9cxYuKxDb9cXt88kNyXeq/lJ/7sin++8uJGl353B7BFZgWx+Gz945Wse+Wo/h37xLdITYrx6TXfmYO0NYwxn/ns5Gw5VsvOeM8hIjPX5e7RX29hM9i/eY8G0wTx46fGty90VUgqFOXD3HqnlNx/s4NnrptA3pW2Auqu0hnF//pifzRnJt2fkBaTnWCmllApFIrLGGDPV3TpvqhnXG2MW+rhNSikVFJ5STpvsxuvUxuunDORn72zjb5/uDlow29hsZ/G6Qi4el+t1IAuBS98UEf5+8Xi+++IGth+upl9qvN+Dsfe2H6auyc7c43PbLPeUdh2MoND1/Nc32fl871F+/u42Hr5iQpvtfvzmFmKjbNw8PU/TbZVSSikPvAlm7xeRXwDvA60lF40xa/3WKqWU8hNfTPsRHxPF784dQ2ZSLLtKq0mOiw54cPTW1mKO1DZx49TgjtvtzPjcFP584TiufnptQHpEX91UREZCDKcOy+ywLhTHYI7OSea2mUNYuGwv3z95CBMHpAHw0c5SXt1UxG/PHUP/tNBqs1JKKRVKvPn2djzwbeCPwF+tx1/82SillPKXnKQ4nr++YwXg7owbtdsNUwelc/frmxn1x4+ZsXAZm4oqsdsDN4b2ydUHyE2J46xR2QF7z+4qqWngumfXej0VTW80tdh5Y0sxF47tS0wAC0711n1njaJPQgx3v74ZYwwtdsPdr28mLyOBH546LNjNU0oppUKaNz2zVwDDjDGN/m6MUkr5m80mPLIin39dejxjc1N6lHJaUtPA3HbztV68aBXL75gVkN6/w9UNvLW1hDtPGRbQSsHd1d2paDzxZpzvp7uPUF7XxCXtUoxDXUZiLL86ewxPrTnA1uJq7Bh+8a1RpMRFkRATFezmKaWUUiHNm2B2E5AOlHRnxyIyCHgS6AsY4GFjzP0i0gdYAgwB9gHzjDFlIiLA/cB5QC0wX1OZlVK+tq6wgv+uPMCY3BTOPa5vj/bhqyCtp55bV0iz3YR0ijH0LKW7feCalRDLlpKqLos3vbKpiIQYG98K4Z5qT749fRDjcpM5/9GvWo/x1QXTsFvjuJVSSinlnje39NOBbSLyXjen5mkG/p8xZixwEnCbiIwF7gGWGmNGAkut5wDnAiOtx63AQ907FKVUd9nthqKqevLLaimqqm9Nk/W0PBI8sGwviTFRLJg2uMf78DTVS2yAekmfXF3A5AFpjO+XGpD36yl3U9G8dONUjynd7qZN2lde2xrIgvtUZbvd8NqmIs4ZnUNirDf3aEPLkbom5i9e3+YYL/FTOrZSSikVSbz5X/8XPdmxMeYQcMj6uUpEtgIDgIuB063NngA+AX5iLX/SOOYKWiEi6SLSz9qPUsrH3E1X8sr8aeSlx5NfXt+aRhvMaUx8rbSmgefWFTJ/2qBuVQBuzxmkuZ67R+ZNYMn6Qu46dXiv2+kprdZuN+wrq+WvF40jLT465HvuXKsI1zW18PWhKl7bVMTkgeluty+paegQuBZXNXbZC77qQDkHK+vDLsXYKdg9/UoppVS46jKY9cV8siIyBJgEfAX0dQlQi3CkIYMj0D3g8rICa1mbYFZEbsXRc8vgwT3vWVHqWOcucJj7+Creunl6UMeDdqU386Q+8tV+Gprt3HbykF61wd1UL8+uKeBHb24lNT6Gm0707m+Tu2MB3M6JOjYnxat021DjWkX4oS/z+dunu7l+6iBGZCV12La+qWNQV1Ld4DZVObpdinG0Tbigh2njweaLCttKKaXUsajL/ylFpEpEKq1HvYi0iEilt28gIsnAS8Bdxpg2r7N6YbuVv2iMedgYM9UYMzU7O/zGRikVKjz1BsVGS8j2ErlLQ/W2inBzi51/f5nP7OGZPknPdQZpeRmJ5KbEc8cpwzhrVBaPrcxn5+HqLlO03R3LygPlrCuscJtWu+NITZfptqHuh6cOIybKxp8+3uV2vTNwdfXk6gO8PL9tqvIj8ybwuw92UNfUgjGGV74+xOnDM8lIjPX7MfiDu3Ts7lbYVkoppY5F3vTMpjh/too0XYxjDGyXRCQGRyD7jDHmZWtxsTN9WET68U1hqUJgkMvLB1rLlFJ+UNvY4rE3KFR7idz1Jnvba/zGlmL2l9fx94vH+aVt0VE2nr9uCusOVfKth1d02Xvq7liufnoN79wy3e3NhBhb6N5k8Fa/1HhuOnEwj3yVz31njWJQ+jeB66e7S7nnra08fc3k1ul88jIS+NXZoxmbk9KmF3x9YQX/+Wo/SbHRfHfmEB6+YgJpCaGfdu2Ju57+QM9brJRSSoWjbn07NQ6vAmd3ta0V+D4KbDXG/M1l1evAjdbPNwKvuSy/QRxOAip0vKxS/lFc1cDdr23i8asmdugN6pcc36GX6JF5E1i5vyzoRaF6M7bwwWV7GZyewIVj/ZeKWtdiZ0G7Qj6eek89HUtCbJTb4lLxMe6LToXCTYbu+PHpwzEG/vLJ7tZlZbWN3PDcOo7UNjGxnyOo23vvHJbfMYvxualER9va9IKfM6Yvz103mXOOy+HMfy9n9kNfMnfRqoDP9etL7Xv6NZBVSimlutZlz6yIXOry1AZMBeq92PdM4HrgaxFZby37X+CPwPMicjOQD8yz1r2NY1qeXTim5lngxXsopbrJGMPNS9bz6Z6jPHBpgtveoDa9RFE2Xt98iOFZycxYuCxo4zVb7IaDlfVue42P1DQyOD0Bxz20tpxFk+771miS46KwudnGV7oTbMdGue8BT4y1dSgu5XqTof3ycEtFzeuTyHWTB/LIV/ncO2ck2cmx3Pby1xysbOCL22eSFB9NUnzXtQlPHZbZ+nmE0BvbrZRSSin/86aa8YUuPzfjmBv24q5eZIxZBnj61jjHzfYGuM2L9iileuFfX+7j7W0lLLxkvNsiPNC2aA/AReP6MeOBwAcOzgJJjsJAtTy5+gDPXDuZa5/5Jg31qWsmcdvLX3PWqGy+OyOPJrvpspiSv4Lw7qRov7e9hEfmTeCW5ze0aVtmQhyZCXFd32QI41TUn5wxgq0lVewrq6W0ppErJvTnzFFZnDg4w+t9aAVgpZRSSnkzZlZ7SJUKot5U722/j+qGZgamJXDnKUO5beYQr1/f0BL4wMHd1EGLr5vClAFpbQK67MRYvjMjj0HpCcx88IvWbZ+5djJRIlz19JqABeGepuwprmpo836bDlXy3Re/5u5Th7L8B7NoaOl4bd21r/1NhnA1MiuJP184liufWtN6nl5dMK1bY15DeWy3UkoppQLDYzArIvd18jpjjPmNH9qjlHLhLqDrbs+iu328PH8axoC3GbfBCBzcFUi66uk1bgPRc8bkdEg5vfaZtbzzbffFlPwVhLfvPY0S4c5Xv+ar/RWs+eGp9E2Jo6nFzo2L15EWH80PTxtOdnJ4pQn7QklNA9c/u67N9bqkmzcZ3N04CMe0a6WUUkr1XGffRGvcPABuBn7i53YppfBcvbez6VjsdtOmUNOhyvoO+7j08e5N6eJu6pCnr5nks8ChfZuLq+opKK/3OhD1WEwpxn0xJX8G4a6FfAamJ3Dft0ZztLaRX723jUOV9WwpruJnZ45i8fWTj8lAFnyTIux648C1WFQ4pl0rpZRSqmc89swaY/7q/FlEUoA7cRRlWgz81dPrlApl7lJ2gV6n8fpLd7/0u+uFfdcHvZPtexyLqxq489VN/OzMUZzfy+rA7tr86LwJGPC6N9hTz7GnYkqB7L2b0D+NF26cQnx0FCc/0LaAVrhOJdNbvurpj5S0a6WUUkr1TKffHESkj4j8FtiII/CdbIz5iTGmpLPXKRWKnEHTjIXLGPq7pcxYuIydpdV83W5ZKE3v4fzS7yovI4EWD+1z15O7+0itT3onXXscJ/RPpbaphVtf3MDR2kav99G+B9Z5c6F9m29+fgPH5SR36A32FIi66zl2FlMKhd67KQPTWws9gXc97JHM0/XSFGGllFJKdUdnY2b/DFwKPAwcb4ypDlirlPIDT4HebS9/HbLTezQ0tXSoePvYlRP5/ksbeXDu8STHR7f2KAu4Tc39zQc7eHn+NC593He9k3HRUTx+1SSm3/85d766iaeumdzla9z1wL5ww1Rio2xue46b7Mbr6r1dVfoN9rXUyrttRVJlZqWUUkoFT2fVjP8f0AD8DLjXZf5GwVEAKtXPbVPKp9wFFEmx0W6DjPqm0Agy7nl7G0WV9Xx220zsxjHlTH1TC9E24UBFPTc9vL7L1NyiqgYGpruf6qU3Jg1I494zR/LuthK2FFWRFBfV6b7d3Uy44snVvHXLdI8pp91JIw3llFOtvNtRKF8vpZRSSoUHj9+kjDE2Y0yCMSbFGJPq8kjRQFaFo6r65g7ptjWNHZflZSSwq7SG4qr6DimxgbS2oJwl6w8ya1gmg9ITyMtIJDclniF9knjg0hO4acn6Dqm5Yzyk5mYmxLWmCOemxPusB+ynZ4zgj+cfx/mPftVlmran3sm0+OiITznVtFqllFJKKd/rcp5ZpSLBvqO13PnaJp64ahI3Ll7X2ps5IjORVxdM4xKX1Nfnb5jKoq/yibINaA0YezIlTm/d+842+iTG8KPThndYZxPcBobN3UjN9YWjdU3MX7zeqzRtT72TUcdAyqmm1SqllFJK+Z4GsyritdgNNzy3jg0HKxmWmdghoAA6LMucPYI5/14etLG0H+8q5b3th/nzBWNJS4jpsL6ztNVApm92Zyzo9pLqDuN/nb2Tx0LK6bFwjEoppZRSgaTBrIp4f/xoJ8v2HuXJqycxMD3B7Tbtg4womwSlYI/dbiipbiAhJoo3bjqRM0Zkut3OmbYazClnoJOgOqrtCIb9ZbVc+vhqLhibwxe3z6LJrr2TSimllFKqdzSYjXDhNq+qrziPu7K+mXG5Kdw7ZwTXTh7g9euDUbDHXbVfT6nNoZK26i6ofmTeBF7fXMStM4YA0NRi55pn1tJsN/z8rNH0T9PeSaWUUkop1XtiTGjMp9kTU6dONatXrw52M0KWu+DovW9Pp67Z3maMaKDHgvqbu+N+Zf40Tujn/TG628eS66cwdWC6T86Tu5sMJTUNzFi4rEMAHSrTBHnS5liibDy6cj8/f3c7z1wzidkjsyiqbGDv0VoSY6I4e0xOsJurlFJKKaXCiIisMcZMdbdOe2YjmLupUHaF+LyqvuDuuOc+3r1jbN/zuaOkmt+8v4Nnr5tCSnzvfm3cBcqLr5tCTFRwUpt7q/1Y0HvOGEl1QzM5KXGtwbnzpondbiLmpolSSimllAquY3eSw2NAbWOL1/OqhlLAZLebXk2J052iRJ1xBml5GYmkxMfw1rYSfvvhjm7tw92xuAu2r3p6DYmxUW6nCQq3uUijbMIdpwxrLfQE39w0KalpCHLrlFJKKaVUpAivb8nKazsOV7O9pNrreVWrG1oC2TyPnL2WMxYu63LeUk9io2w+DwpPystgwYmD+Ptne9hWUuXVa9wdy6qCcg5V1rsNtlPjIme+1cYW39xQUEoppZRSyhMNZiOEaw/gzsPV/ODlr7n/8z28eOPUNsGRc15V12VPXDWJW55fz0Nf7qWosuc9or7grtfS2aPnbY/t0p2HeWTeBJ8HhX849ziSYqO445VNeDPW3G0P7FNrSIh23wPrmtq89945LL9jVtiOZXYW0HIVjr3MSimllFIqdOmY2RDgrhhQdwIYd2MwF101keF9EhmQltDlvKrp8dFcNLYvo7KTmfFA2zGOgQ6mPKUIH6lppKC8niueXN1p+/aX1fK9l77mO9PzWP6DWTS0+K7Sb05KHL8+ZwzPri1ga3E1SXFRne7b07Gkxkd7nFYnUuYiDZWpg5RSSimlVOTSasZB1tl0LODdFDpFVfW9roLri330VovdsDz/KNc/u65DO96+ZTrnPfJVl+2bu2glH+woZfP/nE5en0Sft7GpuYUv88uYv3h9l0F/Z+fUWb34WJgeKZKPUSmllFJK+Vdn1Yw15y/IPKXVHqlr8HrsqC8KHvmqaFJP2e2Gb7+wgf95YwvPXjulQ4pwQkxUl+17bVMRr20u5hffGuWXQBbgSF1TayDrbIOnwkbxUTYemzfRbbqza3Gp3JT4iAzyjoVjVEoppZRSwaNpxkHmKYgsr212G+S274m02w2HKuvJy0jo0APYnfGJzjGOHfYR5b/7Ha49dwXl9WwtruLs0TlMH5zeITW6pKbBbfuaWxzjaOub7MRECddM6s9dpw7zW5u7E/Tf9/4OVu8vY+l3ZxBlE+2dVEoppZRSyoc0mA2yozWNboM0u8Ft0OQsgtTQbCcuysZ/v8rn7a0lPHPtZK59Zm2Pxye6G+P4yLwJvL65iFtnDPHV4bZyl1797LWTOXFQuttxo+7a9+INUyioqGuT8vvijVOJEv8Fix6D/nY3DrYWV/HQl/u4ZfpghmUm+a09SimllFJKHat0zGyQGGP45fs7eH97CX++cGzrONHWQDQ5rrUYk9PF4/ry87NGcdkTq9sEnHtKa7jpxMEcrm3s1fjENmMco2w8sjKf+97dwSsLpjJ9cIZPxz72ZIxu+zGYxsDJDwR2nK+nYlvTBqSTFP/NvaHz/ruCL/PL2HnPGWQna9EjpZRSSimleqKzMbPaMxtArsHYocp63t9ewnF9U5g+qGNaLdChJ/JPF4zl7IdXtEk9vuX5DSy/YxZRUbZeB3Dte0R/Mnskh6saSY6Nbg08u6py7G3Rn4q65m6P0W3fvvyy2oCP83WdPqeh2U59k50Fi9eR1yeRZ6+djIjwztZi3t1+mD9fMFYDWaWUUkoppfxEg9kAcdej98y1kzlxYDrR0TZyU6I6vMY1aIqLttHQFNgiTTFRNn58xghmPfhFl2N3PR2ju8rMJVUNVNQ3+2+cr5/nMm0fVF88vh8/fXsrF47NYfaIbNISYnjrlhM5Y3iWX9uhlFJKKaXUsUyrGfuJc2xrflktRVX1FFbUdSjodO0zaymta/S4j/bVYONibK2VcZ38Hbw1243XAbSnysxbiytZU1jRWpl53lNryEqK4dX509xW+vWWcxxtb/bhCz+ePZwfnz6MvinxnPzAMmY9+AXff+lrth+udlt9WimllFJKKdV72jPrB+56KN/99vRe96q6K4Lk7+CtO72fNQ0tbo8xJjqKeY+1TY+e+/hqVt41q0N6dXfG4rZP+Q1WtWAR4QenDPO6B1sppZRSSinVexrM+oG7HsrdR2p7nRIbjODNXQD92JUTqa5vhpRvtttSVMXeo+6PMdomboPc2kY7eRm9mw/WXeXjYOhOD7ZSSimllFKq9zSY9QN3c5H+5oMdvDx/Gpc+3rte1UAHb+0DaGPg9pc30mI3/POyE4iyCc0thh++tonoKOGlG6e2qbb82oJpJMZEBWVsayAFa/yuUkoppZRSxyq/Tc0jIo8BFwAlxpjx1rI+wBJgCLAPmGeMKRMRAe4HzgNqgfnGmLVdvUeoTs3jadqZlXfNosVOUFNifWHv0Rr2Ha3jpiXfzO+66MqJDMtMZGBaQodqxoDHwlDhePzudFb8KlKOUSmllFJKqUDrbGoefwazpwLVwJMuwez/AUeNMX8UkXuADGPMT0TkPOAHOILZ6cD9xpjpXb1HqAazkR7Y+GKO2HAN5DtzLByjUkoppZRSgRSUeWaNMZ+JyJB2iy8GTrd+fgL4BPiJtfxJ44isV4hIuoj0M8Yc8lf7/ClUChP5i7s06u7OERuJjoVjVEoppZRSKlQEesxsX5cAtQjoa/08ADjgsl2BtaxDMCsitwK3AgwePNh/Le2lSA5sdHyoUkoppZRSKtiCFn1YvbDdznE2xjxsjJlqjJmanZ3th5aproTK/K5KKaWUUkqpY1ege2aLnenDItIPKLGWFwKDXLYbaC1TISjS06iVUkoppZRSoS/QPbOvAzdaP98IvOay/AZxOAmoCNfxsscKZxp1XkYiuSnxGsgqpZRSSimlAspvPbMi8hyOYk9ZIlIA/AL4I/C8iNwM5APzrM3fxlHJeBeOqXkW+KtdSimllFJKKaXCnz+rGV/tYdUcN9sa4DZ/tUUppZRSSimlVGTR8rNKKaWUUkoppcKOBrNKKaWUUkoppcKOBrNKKaWUUkoppcKOOIarhicROYyjkFQoywJKg90I1St6DSODXsfwp9cwMuh1DH96DSODXsfwd6xcwzxjTLa7FWEdzIYDEVltjJka7HaontNrGBn0OoY/vYaRQa9j+NNrGBn0OoY/vYaaZqyUUkoppZRSKgxpMKuUUkoppZRSKuxoMOt/Dwe7AarX9BpGBr2O4U+vYWTQ6xj+9BpGBr2O4e+Yv4Y6ZlYppZRSSimlVNjRnlmllFJKKaWUUmFHg1mllFJKKaWUUmFHg9l2ROQxESkRkU0uyyaIyHIR+VpE3hCR1HavGSwi1SLyI5dld4rIJhHZLCJ3dfJ+54jIdhHZJSL3uCy/3VpmRCTLx4cZ0bpzDUVkiIjUich66/Fvl9dMsbbfJSILRUQ8vJ+na3iGiKy1PgdPiEi0P4870vjiOopIooi8JSLbrN/FP3byfm6vt4j8UkQKXfZ9nr+PPZL46vfR5bWvu+7LzXr9m+pjPvyb+ol1bZzrcjy8n6ffxU7/L1ae+ejvaYrLsvUiUioi//Dwfvr31A98+Lt4pYhstP5f/FMn7+fpOl5hvdYuIsf0tDA90Z3raK07wVq32Vofby3X76kAxhh9uDyAU4HJwCaXZauA06yfbwJ+0+41LwIvAD+yno8HNgGJQDTwITDCzXtFAbuBYUAssAEYa62bBAwB9gFZwT4v4fTozjW0zvEmD/tZCZwECPAOcK631xDHjaIDwChru18DNwf73ITTwxfX0fodnG39HAt87u46dna9gV86f7f1EZzr6PK6S4FnO/md1b+pIXwNgU+AqV68n6ffxU7/L9aH/69hu32uAU7t5jXUv6dBvo5AJrAfyLaePwHM6eZ1PA4Y7e3vtD56dR2jgY3ABJfrF9XZ9Wn3XhH/PVV7ZtsxxnwGHG23eBTwmfXzB8BlzhUicgmwF9jssv1xwFfGmFpjTDPwKY4vYe2dCOwyxuwxxjQCi4GLrXasM8bs6/UBHYO6ew3dEZF+QKoxZoVx/JY/CVziZlNP1zATaDTG7PD2PVVbvriO1u/gx9bPjcBaYGD77bpxvVU3+eI6AohIMnA38NtONtO/qX7gq2vojS5+F/3ynscCX19DERkF5OC4Qdh+nf499RMfXcdhwE5jzGHr+YfuXtPZdTTGbDXGbO/RQajuXsdvARuNMRus1x4xxrTo99RvaDDrnc1YX4iAK4BB0Prl6ifAr9ptvwk4RUQyRSQROM/5mnYG4Lgr4lRgLVO+5/YaWoaKyDoR+VRETrGWDcBxPZw8XRtP17AUiHZJv7kc958B1T3dvY6tRCQduBBY6ma/XV3v262UrMdEJKM3B6CAnl3H3wB/BWo72a/+TQ2cnv4uLrJSHn/uISWus9/Fzt5TdV+P/54CVwFLrC/R7enf08Dq7nXcBYy20pCjcQRAnr6jevM9SPmGp+s4CjAi8p6VEvxja7l+T7VoMOudm4Dvi8gaIAVotJb/Evi7MabadWNjzFbgT8D7wLvAeqAlUI1Vbnm6hoeAwcaYSTh6fZ4VH4zDsv6Dvwr4u4isBKrQz4Av9Og6Wv9hPwcsNMbs6eZ7PgQMByZa7/PXXh2Bgm5eRxGZCAw3xrwSlNYqd3ryu3itMeZ44BTrcb2P3lP1TG/+X7wKx9/U7tK/p77XretojCkDvgcswdGzvg/9fhIKPF3HaGAWcK3171wRmdPbN4uk76nhOdA3wIwx23B08ztTa863Vk0HLheR/wPSAbuI1BtjHjTGPAo8ar3m90CBiAwC3rBe+28ceeuud0EGAoV+PpxjkqdraIxpABqsn9eIyG4cd8EKaZuOOhAo7M41NMYsx/GFDRH5lrVf1Qs9uI6rrZc+jCOt6h/Wa6NwjPcCeB3HF6wO19vaX7FzoYj8F3jTD4d2TOnBdZwGTBWRfTj+38oRkU9wBEP6NzUIevK7aIxx/k5VicizwIki8gze/y56+r9Y9UBP/56KyAQg2hizxnquf0+DqIe/i29g/e0UkVuBlu5cR+V7nfx9KwA+M8aUWuvexjHe9mn0e6qDPwfkhuuDdoPmgRzrXxuOnPSb3Lzml7gUNXB5zWBgG5Du5jXRwB5gKN8Myh7Xbpt9aLESv11DIJtvBtIPw/EL3sd63n5g/XnduYYu7xmHI7X1jGCfl3B7+Og6/hZ4CbB18V5urzfQz2WbHwKLg31ewu3hi+voaV/t1unf1BC9hta1ybKWx+AonPhdD+/l6Xexy/+L9eG/a+jyuj8Cv+rivfTvaQhfR5fXZODIHhzVnevosv4TtACUv69jBo56H65FZc/35vpY20T899SgNyDUHjjSZg4BTTjuhtwM3AnssB5/BMTN635J22D2c2CL9aFxWyXO2u48a7+7gXtdlt9hvX8zcBB4JNjnJlwe3bmGOAa7b7b+mK8FLnTZz1Qc4593Aw+6u+5dXMM/A1uB7cBdwT4v4fbwxXXEcQfSWNdhvfW4xcP7ub3ewFPA1ziqCb6Oy5cxfQTmOrbb3xA6r3isf1ND8BoCSTh6fTZa6+/H+qLt5v08/S52+X+xPvx3DV32tQcY08X76d/TEL6O1n62WI+renAd51rv3wAUA+8F+9yE06M719Ha/jrrWm4C/q+r6+Pm/SL6e6rzQ6mUUkoppZRSSoUNLQCllFJKKaWUUirsaDCrlFJKKaWUUirsaDCrlFJKKaWUUirsaDCrlFJKKaWUUirsaDCrlFJKKaWUUirsaDCrlFJKKaWUUirsaDCrlFJKKaWUUirs/H/eVuWMO6h+4QAAAABJRU5ErkJggg==\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "forecaster = PolynomialTrendForecaster(degree=2)\n", "run_forecast(y_train, y_test, forecaster, fh, coverage=None, results=False, \n", " title=\"Polynomial Trend Forecaster (Degree=2)\")" ] }, { "cell_type": "markdown", "id": "586a4745", "metadata": {}, "source": [ "Naive Model" ] }, { "cell_type": "code", "execution_count": 10, "id": "a1a05eb2", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "sMAPE: 0.16120844670628973\n" ] }, { "data": { "image/png": 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JEwN6DCIiIiIioVJWXc8FDy+lqKIWgKKKWi54eCmLb51FQUZymFsXHOtKqzjWj15Zt9H56Xy6dBfW2g4Znkeroz6YDQan08lnn33WZW9pZmYmr732WoflR460veJy6aWXcumll3bYbt68ecybN693jRURERERCbP6JmdrIOtWVFFLfVPkTJkZSA1NTjaWHeGr4/r5/ZgxeWkcqW9mT2UdA/ukBLF10eOoTjMOhg0bNjBy5EjmzJnDqFGjwt0cEREREZGI43RaSqvqKKqoobSyjqq6Jgqz2wZohdkpJMXHZriypbyaJqf1q/iTm3t6Ho2b/ZJ6ZgNs3LhxbN++vfX+2rVrufrqq9tsk5SU1FqNWERERETkaOIeH+tOKy7MTmHB1ZN56srJXPHkitZlL8+bRn5aUribGxTu4k/dCmY9pueZPTI3KO2KNt0KZk1LZaR0a21lkNoTEJGUR37cccexatWqsLbB2tgdOC8iIiIi0cXb+NhLH1/BkttmsfjWWew8WEtNQzPjCzJjtprxutJK4hymtbfVHwMzk0lNiNP0PB667Lc3xjxljMk0xqQB64ANxpj/Cn7TeiY5OZkDBw4ogHOx1nLgwAGSk2Nz4LyIiIiIRBdf42NrGp0UZCTzz093cu38lTEbyEJLz+zInFSSE3wXi23P4TCMyktTmrEHf3pmx1lrK40xVwJvAj8BlgN/DGrLemjQoEEUFxezf//+cDclYiQnJzNo0KBwN0NEREREhKR4B4XZKW0CWs/xsWPy03lseTFVdU1kJMfmqMh1pVUc3z+z248bk5fOsuJDgW9QlPLn3ZFgjEkALgTutdY2GmMittszISGBYcOGhbsZIiIiIiLiRX5aEguunsKljy/3Oj52rHts6P4jTB2cFcaWBl5L4at67r94AqkJDpxO260e6NF5aTy3Zg/1Tc0kxfvfqxur/Alm/wnsBFYDHxljCoGIHjMrIiIiIiKRyeEwLN55kL9eMJ6JAzNJineQn5bUGtS5x5HGWjDrrfDVy/OmdWts8Jj8dJwWtpbXcGw3ikfFqk7HzLoKPu2z1g601p5rWwai7gJmh6R1IiIiIiISc15ev4/f/2cLhdmpFGQktwnmRuSmEucwbCyLrUJH3gpfXfDwUsqq6/3ex5fT88TWa9NTnQaz1lon8KN2y6y1timorRIRERERkZjkdFpWlBxm0sA+XtcnxccxvG8qm2IsmPVV+Kq+yen3PkbnpQGoorGLP7MQv2eM+aExZrAxpq/7FvSWiYiIiIhIzNlxsIbKuiYmD/IezEJLD2SsBWzuwleePAtf+SMzOYGCjCQ2l6miMfgXzF4K3Ax8REsV4+XAsmA2SkREREREYtOKksMATPbRMwstY0M376+m2RmxdWe7LT8tiZeum9Ya0LYvfOWvWAz0e6rLAlDWWpUGFhERERGRgFhefJiEONNpAaOx+emutNwahuekhbB1weNwGOqbnfz5a8dyTL90slIS2hS+8tfo/DSeX7M3SK2MLl32zBpjUo0xPzPG3O+6P8oYc17wmyYiIiIiIrFmZckhjivI7HRqmTH5rrGhMTZu9q2N+/nGY8soyEjuUPjKX2Py0jlY00h5NwpHxSp/0owfBhqAk1z3S4DfBK1FIiIiIiISk6y1rCg+zKROxsvCl3PNboyxdNpFOw5wfP9MslISeryP1qmLNG7Wr2B2hLX2f4FGAGttDdD9SwgiIiIiInJU232olgM1jZ2OlwXITUuib2pCTAVsTc1OFhdVMHNo72rpjsnX9Dxu/gSzDcaYFMACGGNGAOrTFhERERGRbvGn+JPb2Pz0mEozXr23kuqGZk4e3rtgdmh2Cglxhk37YyfQ76kuC0ABdwFvAYONMU8CM4HrgtkoERERERGJPSuKDxPnMBw/ILPLbcfkp/PGF2UhaFVofLz9IECve2YdxvDyvBPISUuktKquR0WkYoU/1YzfNcasAE6kJb34NmttedBbJiIiIiISw5xOS1l1PfVNTpLiHUdFULKy5DDH5KeTkuC7+JPbmLx0Hl6ym0O1jb0aYxopPtlxkKHZKQzKSul6Yx+cTsu60kq+8/waiipqW6f3GV+QGfPvHW/8qWY8GSgE9gJ7gCHGmBHGGH96dUVEREREpB13UDLj7kUM++1CZty9iHWllThjaF5Vb1aUHPYrxRi+LAIVC6nG1lo+3nGAk4fn9Go/ZdX1XPDwUooqagEoqqjlgoeXUnaUVjb2Z8zsP4DPgPuBfwOLgWeBTcaYszp7oDFmpzFmrTFmlTFmmWtZX2PMu8aYLa6f2a7lxhhztzFmqzFmjSuIFhERERGJOUdjULK3so69lfVdVjJ2a61oHAPB7NbyasqONDBzWO9SjFvm3q1ts6yoopb6Jmev9hut/Alm9wCTrLVTrbVTgEnAduBM4H/9ePxsa+1Ea+1U1/2fAAuttaOAha77AF8BRrluNwH3+X8YIiIiIiLR42gMSlYU+1/8CWBY31TiHYZNMVC19+MdLeNlT+5lMJsU76Awu22acmF2Cknx/oR1scefox5trV3vvmOt3QCMtdZu7+FzXgA86vr9UeBCj+WP2RafAVnGmP49fA4RERERkYh1sLrhqAtK3JWMJw7wL5hNiHMwMjctJtKMF+04SE5qQmtvc0/lpyXx8rxpre+dwuwUXpo3jfy0pEA0M+r4M+51vTHmPmC+6/6lwAZjTBKuuWc7YYF3jDEW+Je19n6gn7V2r2t9KdDP9ftAYLfHY4tdy/Z6LMMYcxMtPbcMGTLEj+aLiIiIiISXZ7Gnsqp6/rl4J49fMYmrn1rZppBPLAclK0sOMzovjYxk/0vvjM1Pj4k040U7DjJrWF+M6V2RJofDML4gk8W3zqKippGNZUdobrZHZfEn8C+YvQ74LvB91/1PgB/SEsjO7uKxs6y1JcaYfOBdY8xGz5XWWusKdP3mCojvB5g6dWpsj5AXERERkajnLvbkHiNbmJ3CE1dMYtqgPiy+dRbbD9TQ7LQxX5F2RfHhbo8ZHZ2Xzutf7KOp2Ul8XHT2WpdW1rG1vJqbTiwMyP4cDkNBRjJpCfFM/stHfHtGIZMHZwVk39Gmy3eEtbbWWvsna+1c1+3/rLU11lqntbbTyyTW2hLXzzLgReAEYJ87fdj10z15VAkw2OPhg1zLRERERESilrdiT1c9tZKDdU0UZCTz2/e2cNtL62I6kC2vrmfXoVom+Tle1m1sfjqNzZYdB2uC1LLg+2Rny3jZWb0cL9teRnI8Z4zK5aV1pVh7dPbx+TM1z0xX1eHNxpjt7psfj0szxmS4fwfOAtYBrwDXuja7FnjZ9fsrwDWuqsYnAoc90pFFRERERKJSV8WeRuWlsaW8OqYDkpUllYD/xZ/cYqGi8cc7DpKS4Oj2sfvjwvH9KaqoZdWeyoDvOxr401f/IPBnYBYwzePWlX7AImPMamAJ8Lq19i3g98CZxpgtwBmu+wBv0FIleSstUwB9txvHISIiIiISkbqqQDs6N53qhmb2VsbutDzuSsaTBmZ263Fj8tIA2LS/OuBtCpVPdhxk+pBsEoNQ3Otrx/bDYeDFtUdnH6A/r+hha+2b1toya+0B962rB1lrt1trJ7hux1prf+tafsBaO8daO8pae4a19qBrubXW3mytHWGtPc5au6yXxyYiIiIiEnb5aUk8dvmkNhVoPYs9jXIFbJtjYAoaX1YUH2JY31SyUxO79bjs1ETy0xOjtme2qq6JlSWHA55i7JaXnsSsYX15aV1pUPYf6fwpAPW+MeaPwAtA6+Uia+2KoLVKRERERCRGOK3ll+9s4okrJzOoTzJJ8Q7y05Jax8iOzm0JZreUV3PayNxwNjVoVpQc7nGa7dj8dDaVVQW4RaHx2a4KnDbw42U9XTi+P7e/sp6t5dWMdL2Xjhb+BLPTXT+neiyzwOmBb46IiIiISGxZXnyY/2w9wDcP1TJzaMegZnBWS8rx5ihOpfXF6bTsrarjgUsmkp4Yh9PZ/WlkRuelR2XPo9NpyUqO5/3vnMTI3NQeHbs/LhxfwO2vrOfFtXv5r9kjA77/SNZlMGut7Wr6HRERERER8eG9LfsBmDPKe6+rw2EYmZPGlvLoTKX1xduURC/Pm9btKYjG5qdTXt1AeXU9uVEyD6/72C95fHmvjt0fQ/umMmlgJi+tKz3qgll/qhn3M8Y8aIx503V/nDHmhuA3TURERERiidNpKa2qo6iihtKqOpzO2K3e62nhlnImDczsNBAbnZcWcz2z3qYkuuDhpZRVd6/Qlbui8aay6Hl9AnXs/rpwfH8WF1Wwt7IuKPuPVP4UgHoEeBsY4Lq/Gfh+kNojIiIiIjGgfeDa1ORkXWklM+5exLDfLmTG3YtYV1oZ8wFtdX0Tn+6sYM6ovE63G5WXzrYD1TTH0OvR1ZRE/hqT5wpmo6hAVm1jYI7dX3PHFwDwchSmY/eGP8FsrrX2GcAJYK1tApqD2ioRERERiVruFEvPwLXocG1Ie6oixaKdB2lodnKGjxRjt9F5aTQ2W4oqakLUsuDrakoifxVmpfDiddOYPLBPVPToL9lVwRf7qgJy7P46tiCDkblpUTm2uDf8eTWrjTE5tBR9whhzInA4qK0SERERkajlLcWytLI+pD1VkeK9zeUkxjm6rGY7Ktc9PU/0pNJ2JT8tieeumepzSiJ/OJ2WDWVVfP/ldUz+y0cR2aPvmYWwovgQt7+8jn9/VsRz1/bu2LvDGMP3Zg7l2ycVsuPg0ZPG708149uBV4ARxphPgDzgG0FtlYiIiIhELW/ppWVH6inMTmmzPJg9VZFi4Zb9zByaTWpi51+7R7tSabeUV3NOKBoWAg6HYenuCv5ywbFMGNCHlIS2UxL5w9fY08W3zqIgIzlYTfebtyJXj10+ieMLMshITmDxrbOob3J2mI4pGO04aVhfvvHosqAXnIokXf71cM0neypwEvAt4Fhr7ZpgN0xEREREopO39NLHlu3mheumhaynKhLsP1LPqj2VzBnd+XhZgPz0RDKT49kcReNC/fHvz3fx5w+3M6xvKgUZyd0OrAI17jZYvAXb1zy9ktpmJw6HoSAjmcLsnh17d9vhDmTd7Tga0vj9qWZ8MZBirV0PXAgsMMZMDnbDRERERCQ6pSXE8eAlE9oErr88ewzH9ctg8a2z+PR7s/j3xRNivtfoP1vLAbocLwstaaKjctPYEkNpxqWVdawsqeScsfk93kegxt0GS6QE25HSjlDz513wc2ttlTFmFjAHeBC4L7jNEhEREZFo9eK6Uu54cyPv3HQiO+6Yw+JbZzG+IJP4eAcFGck8v2Yv5z24hIbm2P6i/d6WcvokxzNlUJZf24/OS2dLeewEs29taplf99xeBLP5aUm8PC9ye/QjJdiOlHaEmj9H565c/FXg39ba14HE4DVJRERERKLZglV7KK2qZ2RumtcUy5OH96Wh2cnS3YfC18ggs9by3ub9nD4ylzg/e59H5aaxs6KG+qbYmDjkrY1l9M9MYsKAzB7vw+EwjC/IZPGts1hy28n8/aLjOLZfRsT06OemJPLQpRPDHmxHetAfLP4UgCoxxvwLOBP4gzEmCf+CYBERERE5ypRX1/Pu5v3cfuoIjPEecMwc2lLZd9GOg5w8PCeUzQuZ7QdqKKqo5b9OG+n3Y0blpWEtbCuvYVxBRhBbF3xNzU7e2byfC8cX+Hwf+Ms99vSltaV894W1bPrxbEa5CmaF24c7DvCzNzfy2g3TSU+KC3qhJ1/cQf8nt8xkS3kNqQmOmE/jB/+C0kuAt4GzrbWHgL7AfwWzUSIiIiISnZ5fs5cmp+XySQN8bpOTlsi4fuks2nEwhC0Lrfe2tKTYnjG66/GybqNzWwK0zeXRXwTqs10VHKpt5Cu9SDFu7wxXIa33tpQHbJ+99eSKEr4oO8LwnNSQFHrqjMNhGNAnhdteWsddb2+K+UAW/Atm+wOvW2u3GGNOAy4GlgSzUSIiIiISneav3MPY/HSO7995aunMYX35dOdBmmN0LsyFW8oZnJXcOn+sP0bltWwbC0Wg3txYRpzDcKYflZz9NSInlcLsFBa6LhSEW11jMy+s3ctF4/uTkhAX7ua0mjo4iyW7D2FtbH62PPkTzD4PNBtjRgL3A4OBp4LaKhERERGJOiWHa/loxwEumziwy9TSWcP6criuifWlVSFqXeg0Oy3/2VrOnFF53UqxzUpJIC8tkc0xUATqrY1lnFSYTVZKQsD2aYxhzqg8/rP1QERcBHn9i31U1jVxxeSB4W5KGycMyeJgTSPbD9SEuylB508w67TWNgEXAfdYa/+Llt5aEREREZFWz6zeg7VwWScpxm4nD2sZK/vxjgPBblZIOZ2WnQdreP7aadx+ynCc3Qy6RuelsSXK55oNxJQ8vpwxKpdDtY2sKD4c8H1311MrSijISGL2SP9TyUNh2uAsgJgusObmTzDbaIy5HLgGeM21LHCXWEREREQkJixYuYfJA/sw2o/iPIXZKQzsk8wnMTRu1um0rCut5Ix/LWb2fZ9y/kNLWFda2a2AdlQMTM/jnpInkONl3U53BY7vhTnVuKKmgde/KOPSiQP8rlYdKuMLMkiOd7Ckk2DW6bSUVtVRVFFDaVVdty+6RAp/gtl5wAzgt9baHcaYYcDjwW2WiIiIiESTbeXVLNl9iMsm+ZdyaYzh5GF9+XjHwZgZ21dWXc8FDy+lqKIWgKKKWi54eCll1fV+72NUbhp7K+upqmsKVjOD7s0v9vV6Sh5f8jNa9rswzEWgXlhbSkOzkysnDwprO7xJiHMweVAflu6q8LrefdFlxt2LGPbbhcy4e1G3L7pEii6DWWvtBmvtrdbap133d1hr/xD8pomIiIhItJi/qgSASyb4Pxpt5rC+lByuaw3+ol19k7PDsRRV1FLf5PR7H6PdRaCitKJxU7OTd7eUc/aY/F5PyePLnFG5LNpxkJqG8AX8T60oZlRuGlMG9QlbGzozdXAWK0oO09Tc8b0XiIsukaLLYNYYM8oY85wxZoMxZrv7ForGiYiIiEh0WLBqD7OG9WVIdqrfj3GPm42VKXqS4h0UZqe0WVaYnUJSvD/JkC3cKdqbo7SisXtKnnODkGLsdsaoPBqanXyy03vPY7CVHK7lg+0HuGJy14XOwuWEwVnUNjpZv69jgbVAXHSJFP58sh4G7gOagNnAY8ATwWyUiIiIiEQHp9Oy/UA198w9jrsvHN+tVMVjCzLokxwfM0Wg8tOSWHD1lNaAtjA7hZfnTSM/LcnvfYzMdffMRlcw6x6DmZ4YzwvXTQ3olDztnTysLwlxhvc2h2fc7PyVLYXOrvAzpT4cThiSDcCSXYc6rAvERZdIEe/HNinW2oXGGGOtLQJ+YYxZDtwZ5LaJiIiISARzj71zpyy6g7fxBZk4/CiKE+cwzBzaN2aKQDkchk93HuSvF4xn4sBMkuId5Kcl+fVauKUkxDE4KzmqKhr7fB8k+fc+6K60pHhOKuwbkHGzTqelrLqe+iZnl+fLve1JQ7N5+6YTGZHj/xzCoTYiJ5XslASW7j7EN08sbLMuPy2Jp6+awuVPLG9zvrpz0SVS+BPM1htjHMAWY8wtQAnQdYk6EREREYlpvsbeLb51FgUZyX7tY+awvryxsYwD1Q3kpCUGs7kh8cLaUpqdlk++N6vH+xidlx5VacaBeB9015zRudz19ibKq+vJ7WEQ1p2LMb29cBNqxhimDc7yOj2PMfDXj7bxwCUTGJmb1qOLLpHCn77k24BU4FZgCnA1cG0wGyUiIiISTWJlmovuCsTYu5OH9wXgk53R3zvb1OxkRfFhprrm+eypUblpbC6vjpoqz+EYg3nGqDyshfe39jxFvTuFkKKxaNLUwVmsK63qUChr9Z5Knlm9ly37qynMTqUgIzkqA1nwr5rxUmvtEaASuNVae5G19rPgN01EREQk8sXSNBfdFYixd1MHZZEY5+Dj7dEfzG4sO0JNYzPTehvM5qVxqLaRAzUNgWlYkIVjDObUQX3ITI7v1Xyz3QnCo7Fo0glDsmh2WlaWVLZZ/uSKEuIdhosnDAhTywLHn2rGU40xa4E1wFpjzGpjzJTgN01EREQk8kVjj02g5Kcl8dSVk3tV8Cg5IY4ThmTFRM+sO6Wzt8Hs6Nzoqmicm5LIo5dN6tX7oLvi4xzcNH0IFx5b0KOMiIYmJyWH6/wOwqOxaJL7fbhk95dVn51Oy/xVJXxlbH5MpPX7M2b2IeC71tqPAYwxs2ipcHx8MBsmIiIiEg189dhU1jWRn+Z/cZlo5HAYnlpRzL++cTxj8tN7fIyXThzAwD7J7DxYQ3JC9L5OS3cfIjM5nlG5vSsMNL4gneevnUqf5HhKq+rC9nr4WxzpoWW7eXjJLl65/gQyk+ND8l53Oi1fP34Al7UrYuRrDKvnsTiM4TfvbmbN3kpemTeV2iP7yE60VDQYsrP6k5+WhLVOmmvKsM0NmLhErDODZ66ejK3b37ptXx/bxqXmY4zD63LA7217u4+CjHwG9UnmUE0DTdWl2OYGqhodDO6TxC0nFbYu89xHtPEnmG12B7IA1tpFxpjwzVAsIiIiEkHcPTaeAW1hdgolh2vZV1XPNU+vjIqCMT3R7LQ8urwYJ4a/j+nZvKJOp2X6kGwufmxZ1L9Oy3YfYsrAPr1qt9NpOVTXxO2vrA/r6+FvwaOyqnp+8voXTByQyfiCjJDNu1pWXd8ayELnRae8HcuDl0zg+mmDGJ2wi7JFX6epsoj+mYX0+cqzwHgayjdQ9mrL8vjMQtK/+grDHbXULLq0ddv8858HxnXYNv/850nIGUfjgXbLL3wdmuv82zZA+/jp7GHMHXyYvQu+1rr8pW+8RJ+Efexd0HbbxNzxURfQ+tPaD40x/zLGnGaMOdUY8w/gA2PMZGPM5K4ebIyJM8asNMa85ro/zBjzuTFmqzFmgTEm0bU8yXV/q2v90F4dmYiIiEgI5Kcl8ew1U9ukWL503TRy0pJaA1mIzfTj9aVVHKlvZkZhdo/3UVZd3xrIQvS+TvVNzazeW9nr4k9l1fVcGAFp6/6mz//w1fVUNzTxj68fF7JAFro3htXbsdzwzGqO79vQGvwBNFUWcfjNi2k6tL3D8qSaImreubTNsrJXv+51W1/Lmw/7v22g9nH9uGYaF17WZnl6/W6v2zbXlPX6vISaPz2zE1w/72q3fBJggdO7ePxtwBdApuv+H4C/WGvnG2P+CdwA3Of6WWGtHWmMucy13aV+tE9EREQkbBwOw4tr9nD33PEcX5BJkitNdvfh2qgrGNNdn+1qGYt3Yi+C2WgsrOPNmj1VNDbbXo+XjZTXw1c7ahudrSm7h2sbmXtcf2YOy2ZsfkZI2+crI8LbGFZfx2Kc9a0BnVtTZREYOiw3Cak+tjV+Lw/HPoxx+L+P5ugoOObJn2rGszu5dRrIGmMGAV8FHnDdN7QEv8+5NnkUuND1+wWu+7jWzzGhvLwjIiIi0gMHqhv400c7WLilnMK+X05zEY0FY7rrs50V5KYlMiIntcf7iJXXKVDFnyLl9fDVjuJDtawoOcyMuxdxzP9+wO2vrOfEwr4hr96dn5bEy/Om+VV0ytexWEcS8ZmFbZbHZxZS3ZzQYbltrPG6rYlP9nt5WPYR5/8+iIu+glDB/lT8FfgR4L6UlAMcsta6x9wWAwNdvw8EdgO41h92bd+GMeYmY8wyY8yy/ft7XopbREREJBCeWllCQ7OTedMGt1nenS/b0Wpx0UFmFGb3Kr00Vl6nZbsPkZeWyJB2QVN3RcrrkZ+WxDNXT2nTjueunQrQIS38wjCkQTschvEFmSz+3iw+unkmj1w2yee44vy0JJ6+akqH1zQxLZ/8859vDeziMwvJO+95fvVxJalnLWizPK7P8A7b5p//PHFp/f1eHpZ9pPcn4Yz5/u0jtWfj3sPJBGsyZmPMecC51trvGmNOA34IXAd8Zq0d6dpmMPCmtXa8MWYdcI61tti1bhsw3Vpb7us5pk6dapctWxaU9ouIiIj4Y/KfP8RhDMt+cEqHde50zD2H6yg+XMdZo3NJTvBnlFfkO1jTQO6db/Pbr4zlp3NG9WpfTqdlb1UdW8trSE1wMGVQVtQVfzr+/z5gSFYKr904vdf7cr9vdlXUcrCmgTNH5REXF/qe6j9/uJUROelMHJjZWqF416Fahv/Pwg7b7rhjDoXZPe+h741bX1rHvz8rouwXZ5OR7P3zde3TK7hqymBG56W1qbbsrgBMcwO4qvo+u2Yvw7JTOlQuHpaThq3b32ZbzyrC/iwH/N42UPt4cPEOzh8ZT0pcEyYuiZT0fjgcxuu2kcgYs9xaO9XbumD+NZ0JfM0Ycy6QTMuY2b8BWcaYeFfv6yCgxLV9CTAYKDbGxAN9gANBbJ+IiIhIr6wsOcyqPZXcM3e81/UOh6EgI5lluw9z4cNLeeub0zmrh1V/I81nRS3jZXtT/MnN4TAM7JPCxY8txwCffG9Wr/cZStX1TWzYV8VFx/UPyP7c75uX15XynefXsur2Uzl+QGbXDwyw+Sv3kJ4Uz3++c1LrsuQE/8eqhsrFx/fn3kU7eP2LfVw2aWCH9ZvKjvD48hImDuzDmaPz2qwzxkF8WkGbZScPy+Gkexa1O8bdrkrJbbf1tY/Olndn297uw+m0jB+QxfT7PacwSmN8QabXfUSbLt91xphUY8zPjTH/dt0f5ep17ZS19qfW2kHW2qHAZcB/rLVXAu8D33Btdi3wsuv3V1z3ca3/jw1Wt7GIiIhIADy8dDeJcQ4u9/IF2tOcUbmkJDh4dcO+ELUs+BYXVeAw9Lp6r6fZI3NYsvsQlXWNAdtnKKwoOYzT9n68bHtzx/fHYeDZNXsCul9/HKlvYuWeSk4a2rfN8khJg/Y0c2hf+mcm8fyavV7Xz19VgjFwyYQBfu2voTkyinAFgq8pjKKtWrgv/lxCeRioB2a47pcAv+nFc/4YuN0Ys5WWMbEPupY/COS4lt8O/KQXzyEiIiISVPVNzTy1opi5xxXQN7XzwikpCXHMGZnHaxv2ESvX6j8rquD4/pmkJwUu0W/OyDyanZaPtx8M2D5DwV38KZCBPUB+RhKnjcjludV7Qv6+WbLrEM1Oy6xhbYPZ1rGqt85ixx1zWHzrrLDPCexwGOaO788bG/dRXd/UZp21lvkrSzhlWA4D+/g3njlSinAFQqRUxw4Wf87ICGvt/wKNANbaGqBb71Zr7QfW2vNcv2+31p5grR1prb3YWlvvWl7nuj/StX57N49FREREJGReWb+PgzWNHQo/+XLesf0oqqhlfWlVkFsWfM1Oy5Jdh3o1JY83Jw3NJjnewcKtPkumRKRluw8xOCuZfhmB7538+vH92bS/OuTvm0U7DmKM9zRydxp0YfaX1bvD7eIJ/altdPL6F23nSl29p5JN+6u5bJJ/vbIQmb3PPRVLgbk3/hxFgzEmhZY5ZTHGjKClp1ZERETkqPXwkl0M6pPMnFF5XW8MnHdMP4CYSDXesK+KqvomZgwNbDCbnBDHzGF9+c+W6Apml+4+FPAUY7eLjuuPMfCsjxTaYPl050GOK8ikT0pCSJ+3p2YNy6FfRhLPt0vJfnplCfEOw9eP9388cyT2PvdULAXm3vgTzN4FvAUMNsY8CSykZbodERERkaOO02nZVVHDj08fxfPXTvU7XW1An2SmDOrDazEQzC5uLf7Ut4stu2/2yFzW7K2krCo6+k4O1jSw7UBNwFOM3fplJHHKsJwOQVowNTsti4sqOCnAFyuCKc5hmDu+gNe/KKOmoSXV2FrLglV7OHN0HrndDN4isfe5J2IpMPemy2DWWvsucBEt0+o8DUy11n4Q3GaJiIiIRB6n07KutJJT//Eps+/7lEseX8660kqcTv/GM543rh+f7aqImkDNl892VpCblsiInMBPxTJnZC4A72+Ljt7Z5cWHgcAXf/L0jQn92bDvCBtClGq8dm8lVfVNzBwW+IsVwXTxhAHUNDbz5saWVOPFRRXsOlTbrRTjWBQrgbk3/iZLJwMVQCUwzhjTcSI1ERERkRhXVl3PBQ8v7XFl0PPH9cNaeGNjWdcbR7DFRQc5cUg2xgT+S/GUQX3ITI5nYZSkGruLP00ZlBW053CnGj8XolTjRTtaCnDNGhpdwezJw/qSl5bY+jo9vbKE5HgHFxwb/VPQiHf+TM3zB+AT4A7gv1y3Hwa5XSIiIiIRp7eVQScN7MPAPsm8tqE0GM0LiYM1DWzaX82JQUpBjY9zcNqIHN6PkiJQy3YfYnReGllBHFvaPzOZWUP78lyIUo0/3XmQgX2SGZLtX/XfSBEf52Ducf15bcM+jtQ38ezqPXz1mH5kJkfHuF/pPn9qqV8IjHFXHRYRERFxOi1l1fXUNzlJineQn5YUU6lrvrgrg3oGtN2pDGqM4avH9OOplcXUNzWTFB8XrKYGzeet42WDN55y9shcXlm/j6KDNRT2DXwqsy/deV+7t7391BFgLU6nDepn4BsTBnDbS+vYWFbF2PyMoD0PwCc7DzJrWN+g9LwH28UT+rN6z2HW7q1kwdVTyU1LDPq5kfDx5y/vdkCXM0RERAT4ctzojLsXMey3C5lx96JujRuNZvlpSTx++aReVQY9f1w/jtQ388G2A8FqZlAtLqrAYYI7RtQ9bjaUU/R0533tue0pf/+Eq59eGfTPwEXHtaTK9jbV2Om0lFbVUVRRQ2lVXYc276qoYfehOk6KshRjt1OG9eV/zj2GK55cwez7PuW8Bz8/av4+HY38CWZrgFXGmH8ZY+5234LdMBEREYlMvR03Gs0s8Kt3NvPEFZN7XBn09FG5pCQ4eHV9dFY1/qyoguP6Z5Ke5E+CX88cW5BBv4ykkE7R0533dTg+AwP7pPDNEwYzbXCWz0C0K/4E7J/sbOl5nxVlxZ/cDtQ2cv2CVUfl36ejkT9/hV5x3URERER6PW40mq0sOcx7W8uZN31Ijyu9piTE8d2ThjJ7ZC5FFTVhTdPudlrtkXp+fuZo4hwmqKmbxhhOH5nLf7aWY60NSbprd97X4fgMOJ2W66cXctkTyymqqG3NCujOxRRfQfjiW2dRkJEMtBR/Sk+K47iC4KYyB8vR/PfpaNRlMGutfTQUDREREZHo4GvcqCMKx9d113tb9gNwuisNtiecTss3Jgzgssd7HpQEgruXzh3cdNaO7mwbKKePzOXplSVs2HeEY0MQWHVnPHRTs+3V2OmeKKuubw1kwXsg2hV/Ar1Pdx5kRmE28XHBO5Zg6u24dokuPs+qMeYZ18+1xpg17W+ha6KIiIhEkvy0JJ69ZmqbcaMPXjKBX7y9kZqGpjC3LrgWbinn+P6Z9Mvwf4xse2XV9a2BLIQvDTLS02rdFwz+E6Jxs/lpSTx15ZQO7+ut5dVttltZcpjvPLeGhy+d2Kux090ViB7HOGNa2+zmGegdrm1kzd7KqB0vCy3n8eV500J6biR8OuuZvc3187xQNERERESig8Nh+GBrOX+9YDwTBmSSnOBgw74qHllWTG5aIj84ZQT1zbFX5bi2sZlFOw7y3ZOG9mo/kZIG6asdR+qbcaZ9mX6c4HBwqK4x5G0elpPKhcf24/j+GSFJx3Y4DPd8vJ0HLpnAyNw0HMbwsze/4OmVe3jthhM4fkAmVXVNFB+uJSXRwcjcNBbfOitkFb0D0eP48NJdPHDJBG58ZnVrD/sTV0wmLzURgM92VWBt9I6XhZbzOL4gM6TnRsLHZzBrrd3r+lkUuuaIiIhIpLPWcu8nO5k4MJOX5p0AQEFGMk9cMYn89CRm3LMorOmzwfLJjoPUNzk5Y1TPU4whctIgfbVj96Ea9lXVcdVTK1vP41vfPDHkbXY6Lf/vtJFc9dSKkLyf1pdWMX/1HmYO78ucUXkA3H3hcSTHxxHnMMy4+8v39QvXTWNAZnJI39fuHsf2qd7+9ji+u3k/d729mXvnjm8N9PZV1XPbS+u4fNJAbj15OIt2HCTOYZg+JHjTLoWCw2H8Tr2W6NZZmnGVMabS42el5/1QNlJEREQix9q9Vew6VMv54wraLJ89Mre1xwdir4roe1vKSYgznDw8p1f7iZQ0yPy0JJ64ou00Qy9eN42slITWQBZazuNPXt/AC9eFts1l1fWtgay7HcF8Py1YVYLDwNeP69+6rE9KAnedNbrD+/qiR0L/vm7tcfzeLD6+eSaPXDbR78C+ur6Jbz27mtF5aVx/whAKMpIpzE5l6qAsCjKSmL+yhI1lRzhvXD/euOEEUhOib/5jOTp11jMbnSXMREREJKhe2VAKwFePyW+zPFLSZ4Nl4Zb9zCjM7vWUNJ5BybYDNTQ5bVh6r42B3y7cwmOXT2KIq5c1Py2J3YdrO5zHl9fv4+8XHRfS1M1AvZ/8qdhsreXZ1Xs4dXgOBZlte/QanTZi3tcOh6EgM5nfvLeFh5fuovxX55Di6Drw/NlbG9lZUcuH3z2JZI9A1eEwPHH5ZJaVHOIr//4sJjMqJLZ1mhtijIkzxmwMVWNEREQk8r26fh/Th2R1+NLvTlv1FCtVRA9UN7Ci5DCnj8wLyP7cQckTK4o578HPaWgOfWC0dm8Vb23cz7YDNRRmp1KQ0ZI26+s8ulM3PbcNpu6+n5xOS2lVXZs5WP2ZVxVgzd5KNu2v5pKJA3rdjlD42rH9qG10djoPr/v12Lz/CKcMz+H35471mlVQ1djEdfM1L6tEp04/hdbaZmCTMWZIiNojIiIiEWxvZR1Ldx/i/GMLOqzzlj77UoxUEX1/aznWwhmjezdetr3zx/WjuqGZD7YdCOh+/fHO5pZphs5sd0yRlAbtbzu8Ba1r9layubzaryrMz6zeQ5zDcJFHinFP2hEqp47IIT0prjVLoj3P12PsH97n9lfWc9aY/A5BPMR+RoXENn/yZLKB9caYJUBrbXJr7deC1ioRERGJSK9t2Ae0BGHteVYRPVDdwOb91dQ1NsdEquJ7W8rJSIpn2uCsgO739JG5pCbE8eqGfZwzNr/rBwTQe5v3M65fOgP7tO11jJRqsO52LLplJtsO1JDguu+tHd6mDpr7yFLeuHF6l4GatZZnVu3h9JE55KV3DFAj5fXwlBQfxzlj8nltwz6cTtuhLb5eD29z0kZKQTKRnvDnXfpzWqbn+RXwJ4+biIiIHGVeXb+PodkpjC/wXlrDnYo6IieNbz+3ht/9Z2uIWxgcC7fs57QROSTEBfYLfnJCHGeOzuW1DaVY27HXLFjqGpv5aPsBzhjtPW061CnFvjgchoF9UvjHJzu54OGlNPt4jXz1LqYkxHWZIryy5DDbDtRw8YSOKcae7YiE18PT+cf2Y29lPcuLD3dY153e1kjseRbxV5d/ka21H3q7haJxIiIiEjlqGpp4b8t+zj+2AGM6/zKfnBDHjScO4dUN+9hxoCZELQyOHQdq2Haghjm9nJLHl/PGFbD7UB1r9oZusohPdh6krsnJmaMCMwY42K6YPJDy6gbe2bTf63pf41rTkhwdArVnrp7SJlBbsGoP8Q7D3PEdU4wj2blj++Ew8KqXVOPujPP17HneccccFt86S8WfJGp0NjXPItdPTc0jIiIivLelnLomp9cUY2++M2MoDmP4x6c7g9uwIFu4tSWAOiNIgZ+7KvSrrhTuUHhn034S4gynjujdNEOhcs6YfLJTEnh6ZYnX9X1TEnj40okdehdzUpLaBGr3XzyBn725kf3VDcCXVYzPGJVLTlpiyI4nEHLSEpk5tK/X982RuiYeuGSC372tkdjzLOKPzqbmmeX6qSl6REREhFfW7yMzOZ5T/JxndVBWCnPHF/DQkl388uzRpCb2bkqbcFm4pZz+mUkc0y89KPsvyEzmhMFZvLZ+Hz87Y3RQnqO997bs56TCvr2eZihUEuMdfGNCf55cXsKR+qYO7Z6/ag/3fbqTN26cTmpiXIdxre5xojUNzXy04yDfeX4Nz187laW7D7GzopY7zxoT8mMKhPOPLeBHr22g6GANhX1TW5ff9vJ6GpqcfHzzTJqtjYhxviLB4PfAD2NMvjFmiPsWzEaJiIhIZHE6La9/sY+vjM0nsRuFYW6ZOYyK2kae8tGjFsmcTktpZR03nzSUBVdPIZhDWs87th9Ldh+itLIueE/isv9IPStLKgNemTnYrpw0iJrGZl5e3zat1um0/P4/W6ltdDI2P73T3sVj+mXw63PGsreyjvWlVSTEOXjhuqnMPda/bINI486S8OydXbhlP29uLOPssfkMykpRb6vEtC7/GxljvmaM2QLsAD4EdgJvBrldIiIiEiGcTsv2g9XMv2oKd8wZ5XV6D19OHt6X4/tncu+inSEtcOSLt7lIfW23rrSSGfcs4pR/fMrVT630Oj9poJx3TEtQ8sbGsl7vq6tjXOiam/RMH8WfItWsYX0ZnJXM0yvaXhh5cd1eNpYd4Senj+xyLDfA92cN4w9fHcf5Dy1hyl8+4gcvr6foUG3Qzm0wjclPZ3ReWmuVcafT8qPXNlCYncItM4eGt3EiIeDPpdVfAycCm621w4A5wGdBbZWIiIhEBHdQd+a/PmP2fZ9y/kNLuhXUGWO4eeZQ1uyt5OPtB4Pc2s55m4t0XWklTU3ODsGft6lNvM1PGigTBmQyOCu5NSjpKV/H6Hm+3tm8n+yUBKYMyuplq0PL4TBcNnEgb2/ez/4jLefBWsv/LNzCqNy0TqsReyqvbeDa+StDdm6D7fxxBby/rZzKukaeXFnMypJKfvuVsSQnxIW7aSJB508w22itPQA4jDEOa+37wNQgt0tEREQiQCCCuisnD+SMkbmux3feIxpM3o7lrrc3sXZfVZvgb3nJYUor6/2e2iQQjDF89Zh+vLNpP3WNzT3eT1fny1rLe5v3M2dULnFRmHZ65eRBNDstz67eC8BbG8tYWVLJj08f6ffxdGfammhw+cQBzL9qCrsP1ZKTmsg1UwZy2cSB4W6WSEj4E8weMsakAx8BTxpj/gZUB7dZIiIiEgkC8cU/OT6OX5wzhmvnr/TZWxgK3o7lmqmDueiRtsHfJY8t69bUJoFy/rh+1DQ28/7W8h7v43BtU6fna9P+IxQfrvM5v2ykO35AJuMLMnhqZXFrr+zgrGSumjzI732E49wGi9NpiYsz3P7Keo77vw+5+YW13DJreLibJRIy/nxqLwBqgB8AbwHbgPOD2SgRERGJDIH44l9WXc+VT64Ie1qnt2PJT0/yGvz1SY7vMD9pZ1ObBMLskbmcOrwvfVIS/OrB9hwbu6uihjvf2siGfVWdnq93N7vGy0bJ/LLe/OCU4fy/U0ewYV8Vt586gj+eN65bRcny05JCfm6Dpay6ngvb9cRf/NiyqE2ZFumuLuuxW2vdvbBO4NHgNkdERCQyucdR1jc5j6ppLvLTknjksolcN38VRRW1PfriHzFpnRYeuGQCNz6zuvVY+mcmUZid0qZ9hdkpOBymdX7SUJ3zxDgHvzpnbGvg736txxdkdnhe99hYd0pxYXYKD14ygcO1jbw0b1prgFOYncIjl00kyeEKZjftZ0ROKsNyUr01IeI5nZaJA/u09qYXZqfw0rxpOJ3W73MTjnMbLBHz2RIJk6BNLmaMSaYlNTnJ9TzPWWvvMsYMA+YDOcBy4GprbYMxJgl4DJgCHAAutdbuDFb7RERE/OUtcPAVZMSaoopafvL6Fzx/7VRy0hJ79MXf3SPaPmAMdVrnI8t28/K6Ut7/zkkY09Ku3JREXp43rcO5dR+je37SUCirrueapzsWJlp866wO7fA2NvaGZ1az+NZZ5KcltQZqNQ3NfOu51Qzuk8LvvnoM/zV7BHEO063gL5KUVdd3SAu/0Mdr1JlQn9tgiZTPlki4BHOm7HrgdGvtEWNMArDIGPMmcDvwF2vtfGPMP4EbgPtcPyustSONMZcBfwAuDWL7RERE/OKrqE53v0BHo+fW7OHzXYfITkmkMLtnvXnutE5vAWOoWGt5bFkxOakJDO3b9jgipZeuO71snW3bPlD709eOpaquiVP/8WnUX4xRT2RbkfDZEgknn8GsMWahtXaOMeYP1tofd3fHtmUyuSOuuwmumwVOB65wLX8U+AUtwewFrt8BngPuNcYYGwmT0omIyFHtaP4C/dyavUwd1KdXaameaZ2llfXsrKihf2ZoA8aluw+xsewI9198vNf2RcJFie70snVn28FZKcy4e1FMXIxRT2RbsZQyLdITnX3y+xtjTgK+ZoyZZIyZ7HnzZ+fGmDhjzCqgDHiXluJRh6y1Ta5NigF37fCBwG4A1/rDtKQit9/nTcaYZcaYZfv37/enGSIiIr3iqwjS3so6quoaO8xRGiuKDtawdPchvn68f/N3dsYdMKYkxHHRI8t4aElxAFrov0eXFZMc7+DiABxLsHSnMJF1jf/1Z9tYuhgTS8WbAsX92SrMTqUgI1mBrBxVOkszvhP4OTAI+HO7de4e1k5Za5uBicaYLOBFYGzPmtlmn/cD9wNMnTo1dr4xiIhIxMpPS2L+1VO47PHlral8T1wxmX9/VsRVUwZz/YJVUZ++6c1za1rm8rx4Qv+A7XNMfjonD+vLg0t28aPZIzAm+K9TfVMz81eWMPe4/vRJSQj68/WUZy9b0cFaDtQ0MC4/w+t76Z5FO/hgazkffOckcI3/9dUjF0u9meqJFBFPPv+KWWufs9Z+Bfhfa+3sdrcuA9l2+zoEvA/MALKMMe4gehBQ4vq9BBgM4Frfh5ZCUCIiImHlcBjuX7yT+75+PDvumMPiW2cxozCbn84Z3RrIQvimnAmW59bsYfLAPgzPSQvofm88cQhby6v5aHto/s2/un4fFbWNXDPV/7lIw8Xdy7brUC3nPbiENzeVddimrrGZBz7fRb+MJAr7pnbZIxdrvZnqiRQRty4vyVlrf22M+Zox5v9ct/P82bExJs/VI4sxJgU4E/iClqD2G67NrgVedv3+ius+rvX/0XhZERGJBGv3VvLw0mK+KKtq8wU6Ic7ETPpme7sqavh81yG+fnzgemXdvn5cf/okx/PA57t6vS/PuVZ9pXk/tqyYAZnJnBFFc6teOL6AgX2SufeTHR3WLVi1h/LqBm6ZNcyvfXn2ZrovxsRK9oCIHN26DGaNMb8DbgM2uG63GWP+x4999wfeN8asAZYC71prXwN+DNxujNlKy5jYB13bPwjkuJbfDvykuwcjIiISDA8u2UVCnOHqKW179nyNpY3G9M32nl/rTjEO/BjT1MR4rpg8iOfW7KWipqHH+3FPmTTj7kUM++1CZty9iHWllW0C2n1V9by5qYyrpgwiLoqCt4Q4B9+eUci7m8vZWFbVutxay72f7OCY/HROH5nr9/7Umykiscif/7ZfBc601j5krX0IOAfosnfWWrvGWjvJWnu8tXa8tfZXruXbrbUnWGtHWmsvttbWu5bXue6PdK3f3psDExERCYS6xmaeWF7M3PH9yW2XluktffOlKE7f9PTc6r1MHJDJyNzAphi73Th9CPVNTp5cUdL1xj74mjLJM837qZXFNDst10ZBinF735xeSGKcg3sX7Wxd9llRBcuLD3PzzGEhGW8sIhLJ/L10nOXxe58gtENERCQivbiulIM1jdwwfUiHdZ7pm1/8aDZ//tqx7K6ojfper+JDtSwuqghKirHbpIF9mDywDw98vgt/RxV5phSXHK6loqbRa5r3kfrm1m1PHJLN2zedyJi89GAcRlDlZyRx6cQBPLZ8N5V1jQDc+8lOMpPjo2L8r4hIsHVWzdjtd8BKY8z7gAFOQSnAIiJylHjw810MzU5hjo+UTnf6Zr90yzceXUZCnOGr4/pFda9ZMFOMPf309JE4HIYt5dVkJsd3WpXWnVLs7oktzE7hrW+e6LVK7+5DNeytrOOap1dGfZXpW2YO4/HlxTy6rJhvHN+fZ1fv4bszh5Ke5M9XOBGR2OZPAaingROBF4DngRnW2gXBbpiIiEQmfwruxIpt5dX8Z2s5108f0mUQZIzhtlOGsWpPZciq9AbL82v2clz/DEYHsTfT6bSMyE3j9lfWM/YP73sd7+rJW0rxT17fwAvXtU3zfvG6afRNTWwNZN3bRmuV6WlDspg3bRCjclMpO1LPgqun8IOT/Sv8JCIS6/y6rGet3UtLtWERETmKeesdi9YeL388tHQXDgPXTR3s1/ZXTh7ET1//gr99vINTR/hfnCfUnE5LWXV9h3k6nU5L8eFafn3OWNIS43A6bdDOa1l1PXMf6TjedfGtsyjISO6wfX2Ts0NK8cvr9/H3i47rMOfo7sO1MVNl2um0fGvGUC71mOP45XnTgnpuRESiRfSXWxQRkZApO9J1wZ1Y0dTs5JGlu/nK2HwGZaV0/QAgJSGOb80YysvrS9l+oDrILfRP+570pian1wrA9Y1NrNlbyan/+JTZ933KxY8t67SntLe8BaedBZy+Kkd7q9IbS1Wmy6rrWwNZiO3PnIhId0XfX3UREQmJ9kHQkl0H2VlREzM9Xp1xOi2by6t56sop/OG8cd0K6L570lDijOGeRR3nBw01b1PX7DxU4/WCxLYDtV57SoMVNHU34GxocvLAJRPapBS/7KNytLcq0762jXTdDfpFRI4mnaYZG2PigPXW2rEhao+IiEQAb+nED1wygXhjvBbcicYeL196m0o9oE8yl04cwENLdvPLs8eQmZwQglZ7522c6b6qBq/BUUKcCWnQ5A44PV/n56+d6jPgfGjJbt7eVMaH3z0JC23So9vzrDLdPpU62riD/lj+zImI9FSnfwmttc3AJmNMx/kIREQkZnkLgm58ZjXH9EuPmR4vX/yZu7Qrt508nHH90tl2oCashbK89eqVHan32iOanBDa1FzPgHPbf5/OXy8Yzzub9nsNOK21PLmimPSkeIZkp7ZJKe5s/+3Tj6NRLPUyi4gEmj8FoLKB9caYJUDrACBr7deC1ioREQkrX6mNtU3O1gCk/EgDW8qrcRiiNlDwJhBpnZMH9uEPXx3HRY+Et1BWgqNjr95jy3bzwnXTOrStf3pyh57SYAdN7oAT4FfvbOb5tXu5eeYwMpLbfj35rKiCbQdq+NkZo4PWlkgVS73MIiKB5k8w+/Ogt0JERCJKvMN3OrE7AElNiOOkexcxd3x/Hr18UhhbG1gGep3WWVZdz7XzO04N46tSb7AsLz7EA5dM4MZnVrcGqL88ewzj8jO8BkfhDJpuOrGQR5cV8/SqEm46sbDNuseXF5OS4OCi4/qHpC2RxjPoFxGRL/kzz+yHwE4gwfX7UmBFkNslIiJhdP/ioi6L7WQmJ3Dt1MEsWLWHsqrYqaz67Oo9fhca8iUSivZYa7nz7U089PkuFn9vFjvumMPiW2cxviCT+HiH1xTccKbmnliYzXH9M7h/cVGb5Q1NTp5ZvYcLx/fv0GMrIiJHty7/KxhjvgncBPQFRgADgX8Cc4LbNBERCYenVhTz6/e2cH92Spe9dLfMHMbfP9nJ/Z8XxUQK6J7DdfzsrU3cccbIXvVQRkLRng+3HWD1nkpumTmMgszI79UzxnDTiYV878V1LNt9iKmDswB4Y+M+DtY0ctXkgeFtoIiIRBx//qveDMwEKgGstVuA/GA2SkREwqPoYA3ffWEtJw3N5rqpg7vspRuTn85Zo/P41+IiGpujf6qQP36wlSan5fKJg3rVQ+mtaM9LIS7a87ePt5OblsgVURQEXjV5EKkJcdz/2Ze9s08sL6ZfRhJnjs4LY8tERCQS+RPM1ltrG9x3jDHxQOhLMoqIhEn7+VbDUZU2mDyPb+uBaqYM7MPjl08mPs6/XsSbZw6l5HAdL60rDXJLg6u0so5/LS7iqskDGZGb1qt9eY4/XfvDU/nz146lsq4pIGm7/rwft5VX88qGfXxrRiEpCXG9fs5Q6ZOSwKWTBvD0yhIq6xqpqGngtQ1lXDZxgN/vRxEROXr4M/jkQ2PMfwMpxpgzge8Crwa3WSIikaG3c45GOm/Ht+DqKR2maOnMucf0Y1jfVO5dtIOLJwwIYmuD648fbKOh2cl/zxkVkP25x5/mpCbytYeWkpOawOe3nYwxPX/f+Pt+vOeTHcQ7DN+ZMTQARxJaN00v5OElu3lqRQnGQEOzk6umDAp3s0REJAL5c5nzJ8B+YC3wLeAN4GfBbJSISKQIxJyjkczb8V36+PJuHV+cw/Ddk4bS0Oxk24HqqOzB3ldVzz8X7+TKyYMYlZce0H0nxDn46ZyRLCs+zJsby3q1L3/ej5V1jTy8ZDeXThjAgD6RP1a2vROGZHHl5IEMz0ll4oA+vHHjdCb2zwx3s0REJAJ12TNrrXUaYx4FPqclvXiTtTZ6vqGIiPRCbUNz2KvSdsbptJRV13coVORreXuBqrp7wwmDmTQwkzP+uTjsPdj+HrvntqWV9Tx5xWQmDgxO0HTNlMH89r0t/OqdzXxlbH6Pe2f9OV8PLdlNVX0Tt50yvFdtDhdrWwqLXfbE8rC/l0REJLJ12TNrjPkqsA24G7gX2GqM+UqwGyYiEm7rS6vYWHakQ8ptqKvS+uJOOZ1x9yKG/XYhM+5exJq9lTQ2NndYvq600mtPaWVdU0COr67ZyQ2uuUwhfD3Y3l4TX8fuue3kv3zED15ZT2VdU1B6lBPjHfx0ziiW7D7E25v293g/NQ3NXs/XjgM1FB+qpbSyjmmDs3j3WycyaUCf3jY7LMqq61sDWYi9bAgREQkcf76t/AmYba09zVp7KjAb+EtwmyUiEnqehXU2lFbxvRfXcO8nO3ju2qm9mnM0WLylnM59ZClbDtT4TEX1PMZVJYf560fbePTySb0+vkiYVxW6lxYe6hTy66YO5mvj+hHvMH6nYrc/X3/6YCuPXDaxzfl6+qopPLOqhM37jzDjnkWc/PdPuPGZ1T6D+EgXKe8lERGJfP4UgKqy1m71uL8dqApSe0REwsJbYZ1HLpvI2Px08tKSWHzrLIoP1bGnso6h2akRke7o60t/QpzxuvxQbSN7K+u56JEvj/GxyycxbWCfXs2pCpExryr4fk3cQaH7GLOS4ymvbghp0BTvMPx0zii/02e9vScfu3wSkwd0PF8DMpM49R+fdgjMF986i4KM6Bo3GynvJRERiXw+/zMYYy4yxlwELDPGvGGMuc4Ycy0tlYyXhqyFIiIh4K2X7rr5q7B8WZXWGLjw4aX8+/Nd4W2si/tLv6fC7BSSE7wvdzppDWSh5RiveXolhxqaejWnKnifVzUcPdjeXpMLju3Hnsr6NqnHi4sOUVpZH9IU8u6mz3p7T17z9EqqGjueL+ta7ylaezMj5b0kIiKRr7P/2Oe7bsnAPuBU4DRaKhv7P2eDiEgUOFLfdaGnKYOyOG1EDn/7eDuNzeEPEvLTknj6qikdvvT3T0/2GgwkJziCFvB4zqu6+vaWeVWrG5pD3oOdHOfggUsmtDn2P54/josfW9YmKLx+wSpG5KbyUgiDpu6mz3Zne18XNqKxN9PzvbTjjjksvnWWij+JiIhXPtOMrbXzQtkQEZFQaV/tdmt5NRU1jX6lNt5+6gi+9tASnl29hysmh3fuS2Pg7o+28++LJzAqL61NirA7GPBMRS2rrg9q+qa7Bzs7JYGLHl1KUryDVbefSnxc6AKqVzbs475Pd/Lut04kIc5BUrzDZ1DoMIbjvLxOwQqaups+G+8wfm/v7s1sP/9stPZmut9LIiIinfGnmvEwY8yfjTEvGGNecd9C0TgRkUDzVu22vsnJ8t2HeOG6rnvpzh2bz5i8NP704TbCPUvZipLDzF+9h20HqjukCLuDAc/loUrfTIqP44/nj2PDviP867OigO67Ky+tK6X4cB3D+6a1HntnvZbeXqdg8fb6P33VFJ+v/wtr9nboZfZ1vtSbKSIiRyPT1ZcxY8xq4EFgLdCa22St/TC4Teva1KlT7bJly8LdDBGJIqVVdcy4e1GH3q5PbplJQUayX/OT/vuzIr713BoWfnsGs0fmhrL5bXzvxbU88Pku9t51FlkpCX49pjtzsPaGtZYz/rmY1Xsr2fKT08lOTQz4c7RX09BE3l1vM2/aEO696LjW5d4KKUXCHLg7DtTw63c389RVU+iX0TZA3VpezbF/fJ+fzRnFN2cUhqTnWEREJBIZY5Zba6d6W+dPNeM6a+3dAW6TiEhY+Eo5bXRav1Mbr54yiJ+9uZE/f7gtbMFsQ5OT+StLuODYAr8DWQhd+qYxhr9cMJ5vP7eaTfuP0D8zOejB2Nub9lPb6GTucQVtlvtKuw5HUOj5+tc1Ovl4x0F+/tZG7r94QpvtfvTaBhLjHNwwvVDptiIiIj74E8z+zRhzF/AO0Fpy0Vq7ImitEhEJkkBM+5GcEMdvvzKWnLREtpYfIT0pPuTB0etf7ONATSPXTg3vuN3OjC/I4I/nH8vlT6wISY/oS+tKyU5J4JThOR3WReIYzDH56dw8cyh3L9rBd08aysSBfQD4z5ZyXlpXym++MpYBfSKrzSIiIpHEn29vxwHfBH4P/Ml1+79gNkpEJFjy05J45uqOFYC7M27U6bRMHZzF7a+sZ/Tv32fG3YtYV1qJ0xm6MbSPLdtNQUYSZ47OC9lzdldZdT1XPbXC76loeqOx2cmrG/Zx/rh+JISw4FRv3XnmaPqmJHD7K+ux1tLstNz+ynoKs1P4wSnDw908ERGRiOZPz+zFwHBrbUOwGyMiEmwOh+GBz4r4x0XHMa4go0cpp2XV9cxtN1/rBQ8vZfGts0LS+7f/SD2vf1HGbScPD2ml4O7q7lQ0vvgzzvfDbQc4VNvIhe1SjCNddmoivzx7LI8v380X+47gxHLXWaPJSIojJSEu3M0TERGJaP4Es+uALKCsOzs2xgwGHgP6ARa431r7N2NMX2ABMBTYCVxira0wxhjgb8C5QA1wnVKZRSTQVpYc5t9LdjO2IIOvHNOvR/sIVJDWU0+vLKHJaSM6xRh6ltLdPnDNTUlkQ1lVl8WbXlxXSkqCg7MiuKfal29OH8yxBel89cHPW4/xpXnTcLrGcYuIiIh3/lzSzwI2GmPe7ubUPE3A/7PWjgNOBG42xowDfgIstNaOAha67gN8BRjlut0E3Ne9QxGR7nI6LaVVdRRV1FBaVdeaJutreSy4Z9EOUhPimDdtSI/34Wuql8QQ9ZI+tqyYyQP7ML5/Zkier6e8TUXz/LVTfaZ0e5s2aeehmtZAFrynKjudlpfXlXLOmHxSE/25RhtZDtQ2ct38VW2O8cIgpWOLiIjEEn/+69/Vkx1ba/cCe12/VxljvgAGAhcAp7k2exT4APixa/ljtmWuoM+MMVnGmP6u/YhIgHmbruTF66ZRmJVM0aG61jTacE5jEmjl1fU8vbKE66YN7lYF4PbcQZrna/fAJRNYsKqE758yotft9JVW63RadlbU8KevHUuf5PiI77nzrCJc29jM2r1VvLyulMmDsrxuX1Zd3yFw3VfV0GUv+NLdh9hTWRd1KcZu4e7pFxERiVZdBrOBmE/WGDMUmAR8DvTzCFBLaUlDhpZAd7fHw4pdy9oEs8aYm2jpuWXIkJ73rIgc7bwFDnMfWcrrN0wP63jQrvRmntQHPt9FfZOTm08a2qs2eJvq5anlxfzwtS/ITE7g+hP8+9vk7VgAr3OijsvP8CvdNtJ4VhG+79Mi/vzhNq6eOpiRuWkdtq1r7BjUlR2p95qqHN8uxTjeYTivh2nj4RaICtsiIiJHoy7/Uxpjqowxla5bnTGm2RhT6e8TGGPSgeeB71tr2zzO1QvbrfxFa+391tqp1tqpeXnRNzZKJFL46g1KjDcR20vkLQ3V3yrCTc1O/vlpEbNH5AQkPdcdpBVmp1KQkcytJw/nzNG5PLSkiC37j3SZou3tWJbsPsTKksNe02o3H6juMt020v3glOEkxDn4w/tbva53B66eHlu2mxeua5uq/MAlE/jtu5upbWzGWsuLa/dy2ogcslMTg34MweAtHbu7FbZFRESORv70zGa4f3cVabqAljGwXTLGJNASyD5prX3BtXifO33YGNOfLwtLlQCDPR4+yLVMRIKgpqHZZ29QpPYSeetN9rfX+NUN+9h1qJa/XHBsUNoWH+fgmaumsHJvJWfd/1mXvafejuXyJ5bz5o3TvV5MSHBE7kUGf/XPTOb6E4bwwOdF3HnmaAZnfRm4fritnJ+8/gVPXDG5dTqfwuwUfnn2GMblZ7TpBV9Vcph/fb6LtMR4vj1zKPdfPIE+KZGfdu2Lt57+UM9bLCIiEo269e3UtngJOLurbV2B74PAF9baP3usegW41vX7tcDLHsuvMS1OBA5rvKxIcOyrquf2l9fxyGUTO/QG9U9P7tBL9MAlE1iyqyLsRaF6M7bw3kU7GJKVwvnjgpeKWtvsZF67Qj6+ek99HUtKYpzX4lLJCd6LTkXCRYbu+NFpI7AW/u+Dba3LKmoauObplRyoaWRi/5agbscdc1h86yzGF2QSH+9o0wt+zth+PH3VZM45Jp8z/rmY2fd9ytyHl4Z8rt9Aat/Tr0BWRESka132zBpjLvK46wCmAnV+7HsmcDWw1hizyrXsv4HfA88YY24AioBLXOveoGVanq20TM0zz4/nEJFustZyw4JVfLj9IPdclOK1N6hNL1Gcg1fW72VEbjoz7l4UtvGazU7Lnso6r73GB6obGJKVQss1tLbcRZPuPGsM6UlxOLxsEyjdCbYT47z3gKcmOjoUl/K8yNB+ebSlohb2TeWqyYN44PMi7pgzirz0RG5+YS17Kuv55JaZpCXHk5bcdW3CU4bntL4fIfLGdouIiEjw+VPN+HyP35tomRv2gq4eZK1dBPj61jjHy/YWuNmP9ohIL/zj0528sbGMuy8c77UID7Qt2gPwtWP7M+Oe0AcO7gJJLYWBanhs2W6evHIyVz75ZRrq41dM4uYX1nLm6Dy+PaOQRqftsphSsILw7qRov72pjAcumcCNz6xu07aclCRyUpK6vsgQxamoPz59JF+UVbGzooby6gYunjCAM0bncsKQbL/3oQrAIiIi4s+YWfWQioRRb6r3tt/HkfomBvVJ4baTh3HzzKF+P76+OfSBg7epg+ZfNYUpA/u0CejyUhP51oxCBmelMPPeT1q3ffLKycQZw2VPLA9ZEO5ryp59VfVtnm/d3kq+/dxabj9lGIu/N4v65o7n1lv72l9kiFajctP44/njuPTx5a2v00vzpnVrzGskj+0WERGR0PAZzBpj7uzkcdZa++sgtEdEPHgL6Lrbs+htHy9cNw1rwd+M23AEDt4KJF32xHKvgeg5Y/M7pJxe+eQK3vym92JKwQrC2/eexhnDbS+t5fNdh1n+g1Pol5FEY7OTa+evpE9yPD84dQR56dGVJhwIZdX1XP3Uyjbn68JuXmTwduEgGtOuRUREpOc6+yZa7eUGcAPw4yC3S0TwXb23s+lYnE7bplDT3sq6Dvu46JHuTenibeqQJ66YFLDAoX2b91XVUXyozu9A1GcxpQTvxZSCGYR7FvIZlJXCnWeN4WBNA798eyN7K+vYsK+Kn50xmvlXTz4qA1kITIqw54UDz2JR0Zh2LSIiIj3js2fWWvsn9+/GmAzgNlqKMs0H/uTrcSKRzFvKLtDrNN5g6e6Xfm+9sG8FoHeyfY/jvqp6bntpHT87YzRf7WV1YG9tfvCSCVjwuzfYV8+xr2JKoey9mzCgD89eO4Xk+DhOuqdtAa1onUqmtwLV0x8radciIiLSM51+czDG9DXG/AZYQ0vgO9la+2NrbVlnjxOJRO6gacbdixj224XMuHsRW8qPsLbdskia3sP9pd9TYXYKzT7a560nd9uBmoD0Tnr2OE4YkElNYzM3PbeagzUNfu+jfQ+s++JC+zbf8MxqjslP79Ab7CsQ9dZz7C6mFAm9d1MGZbUWegL/ethjma/zpRRhERER6Y7Oxsz+EbgIuB84zlp7JGStEgkCX4HezS+sjdjpPeobmztUvH3o0ol89/k13Dv3ONKT41t7lA14Tc399bubeeG6aVz0SOB6J5Pi43jksklM/9vH3PbSOh6/YnKXj/HWA/vsNVNJjHN47TludFq/q/d2Vek33OdSlXfbiqXKzCIiIhI+nVUz/n9APfAz4A6P+RsNLQWgMoPcNpGA8hZQpCXGew0y6hojI8j4yRsbKa2s46ObZ+K0LVPO1DU2E+8w7D5cx/X3r+oyNbe0qp5BWd6neumNSQP7cMcZo3hrYxkbSqtIS4rrdN/eLiZc/NgyXr9xus+U0+6kkUZyyqkq73YUyedLREREooPPb1LWWoe1NsVam2GtzfS4ZSiQlWhUVdfUId22uqHjssLsFLaWV7Ovqq5DSmworSg+xIJVe5g1PIfBWSkUZqdSkJHM0L5p3HPR8Vy/YFWH1NyxPlJzc1KSWlOECzKSA9YD9tPTR/L7rx7DVx/8vMs0bV+9k32S42M+5VRptSIiIiKB1+U8syKxYOfBGm57eR2PXjaJa+evbO3NHJmTykvzpnGhR+rrM9dM5eHPi4hzDGwNGHsyJU5v3fHmRvqmJvDDU0d0WOcweA0Mm7qRmhsIB2sbuW7+Kr/StH31TsYdBSmnSqsVERERCTwFsxLzmp2Wa55eyeo9lQzPSe0QUAAdluXMHsmcfy4O21ja97eW8/am/fzxvHH0SUnosL6ztNVQpm92ZyzoprIjHcb/unsnj4aU06PhGEVERERCScGsxLzf/2cLi3Yc5LHLJzEoK8XrNu2DjDiHCUvBHqfTUnaknpSEOF69/gROH5njdTt32mo4p5yBToLquLYjGHZV1HDRI8s4b1w+n9wyi0aneidFREREpHcUzMa4aJtXNVDcx11Z18SxBRncMWckV04e6Pfjw1Gwx1u1X1+pzZGStuotqH7gkgm8sr6Um2YMBaCx2ckVT66gyWn5+ZljGNBHvZMiIiIi0nvG2siYT7Mnpk6dapctWxbuZkQsb8HR29+cTm2Ts80Y0VCPBQ02b8f94nXTOL6//8fobR8Lrp7C1EFZAXmdvF1kKKuuZ8bdizoE0JEyTZAvbY4lzsGDS3bx87c28eQVk5g9KpfSynp2HKwhNSGOs8fmh7u5IiIiIhJFjDHLrbVTva1Tz2wM8zYVytYIn1c1ELwd99xHuneM7Xs+N5cd4dfvbOapq6aQkdy7j423QHn+VVNIiAtPanNvtR8L+pPTR3Gkvon8jKTW4Nx90cTptDFz0UREREREwuvoneTwKFDT0Oz3vKqRFDA5nbZXU+J0pyhRZ9xBWmF2KhnJCby+sYzfvLe5W/vwdizegu3LnlhOamKc12mCom0u0jiH4daTh7cWeoIvL5qUVdeHuXUiIiIiEiui61uy+G3z/iNsKjvi97yqR+qbQ9k8n9y9ljPuXtTlvKW+JMY5Ah4UnliYzbwTBvOXj7azsazKr8d4O5alxYfYW1nnNdjOTIqd+VYbmgNzQUFERERExBcFszHCswdwy/4jfO+Ftfzt4+08d+3UNsGRe15Vz2WPXjaJG59ZxX2f7qC0suc9ooHgrdfS3aPnb4/twi37eeCSCQEPCn/3lWNIS4zj1hfX4c9Yc689sI8vJyXeew+sZ2rzjjvmsPjWWVE7ltldQMtTNPYyi4iIiEjk0pjZCOCtGFB3AhhvYzAfvmwiI/qmMrBPSpfzqmYlx/O1cf0YnZfOjHvajnEMdTDlK0X4QHUDxYfquPixZZ22b1dFDd95fi3fml7I4u/Nor45cJV+8zOS+NU5Y3lqRTFf7DtCWlJcp/v2dSyZyfE+p9WJlblII2XqIBERERGJXapmHGadTccC/k2hU1pV1+squIHYR281Oy2Liw5y9VMrO7TjjRunc+4Dn3fZvrkPL+HdzeWs/6/TKOybGvA2NjY182lRBdfNX9Vl0N/Za+quXnw0TI8Uy8coIiIiIsHVWTVj5fyFma+02gO19X6PHQ1EwaNAFU3qKafT8s1nV/Nfr27gqSundEgRTkmI67J9L68r5eX1+7jrrNFBCWQBDtQ2tgay7jb4KmyUHOfgoUsmek139iwuVZCRHJNB3tFwjCIiIiISPkozDjNfQeShmiavQW77nkin07K3so7C7JQOPYDdGZ/oHuPYYR9xwbve4dlzV3yoji/2VXH2mHymD8nqkBpdVl3vtX1NzS3jaOsanSTEGa6YNIDvnzI8aG3uTtB/5zubWbargoXfnkGcw6h3UkREREQkgBTMhtnB6gavQZrT4jVochdBqm9ykhTn4N+fF/HGF2U8eeVkrnxyRY/HJ3ob4/jAJRN4ZX0pN80YGqjDbeUtvfqpKydzwuAsr+NGvbXvuWumUHy4tk3K73PXTiXOBC9Y9Bn0t7tw8MW+Ku77dCc3Th/C8Jy0oLVHRERERORopTGzYWKt5RfvbOadTWX88fxxreNEWwPR9KTWYkxuFxzbj5+fOZqvP7qsTcC5vbya608Ywv6ahl6NT2wzxjHOwQNLirjzrc28OG8q04dkB3TsY0/G6LYfg2ktnHRPaMf5+iq2NW1gFmnJX14bOvffn/FpUQVbfnI6eekqeiQiIiIi0hOdjZlVz2wIeQZjeyvreGdTGcf0y2D64I5ptUCHnsg/nDeOs+//rE3q8Y3PrGbxrbOIi3P0OoBr3yP649mj2F/VQHpifGvg2VWVY3+L/hyuber2GN327SuqqAn5OF/P6XPqm5zUNTqZN38lhX1TeerKyRhjePOLfby1aT9/PG+cAlkRERERkSBRMBsi3nr0nrxyMicMyiI+3kFBRlyHx3gGTUnxDuobQ1ukKSHOwY9OH8msez/pcuyur2P0Vpm5rKqew3VNwRvnG+S5TNsH1ReM789P3/iC88flM3tkHn1SEnj9xhM4fURuUNshIiIiInI0UzXjIHGPbS2qqKG0qo6Sw7UdCjpd+eQKymsbfO6jfTXYpARHa2Vct2AHb01O63cA7asy8xf7Kllecri1MvMljy8nNy2Bl66b5rXSr7/c42h7s49A+NHsEfzotOH0y0jmpHsWMeveT/ju82vZtP+I1+rTIiIiIiLSe+qZDQJvPZRvfXN6r3tVvRVBCnbw1p3ez+r6Zq/HmBAfxyUPtU2PnvvIMpZ8f1aH9OrujMVtn/IbrmrBxhi+d/Jwv3uwRURERESk9xTMBoG3HsptB2p6nRIbjuDNWwD90KUTOVLXBBlfbrehtIodB70fY7zDeA1yaxqcFGb3bj5Yb5WPw6E7PdgiIiIiItJ7CmaDwNtcpL9+dzMvXDeNix7pXa9qqIO39gG0tXDLC2todlr+/vXjiXMYmpotP3h5HfFxhuevndqm2vLL86aRmhAXlrGtoRSu8bsiIiIiIkeroE3NY4x5CDgPKLPWjnct6wssAIYCO4FLrLUVxhgD/A04F6gBrrPWrujqOSJ1ah5f084s+f4smp2ENSU2EHYcrGbnwVquX/Dl/K4PXzqR4TmpDOqT0qGaMeCzMFQ0Hr83nRW/ipVjFBEREREJtc6m5glmMHsKcAR4zCOY/V/goLX298aYnwDZ1tofG2POBb5HSzA7HfibtXZ6V88RqcFsrAc2gZgjNloD+c4cDccoIiIiIhJKYZln1lr7kTFmaLvFFwCnuX5/FPgA+LFr+WO2JbL+zBiTZYzpb63dG6z2BVOkFCYKFm9p1N2dIzYWHQ3HKCIiIiISKUI9ZrafR4BaCvRz/T4Q2O2xXbFrWYdg1hhzE3ATwJAhQ4LX0l6K5cBG40NFRERERCTcwhZ9uHphu53jbK2931o71Vo7NS8vLwgtk65EyvyuIiIiIiJy9Ap1z+w+d/qwMaY/UOZaXgIM9thukGuZRKBYT6MWEREREZHIF+qe2VeAa12/Xwu87LH8GtPiROBwtI6XPVq406gLs1MpyEhWICsiIiIiIiEVtJ5ZY8zTtBR7yjXGFAN3Ab8HnjHG3AAUAZe4Nn+DlkrGW2mZmmdesNolIiIiIiIi0S+Y1Ywv97FqjpdtLXBzsNoiIiIiIiIisUXlZ0VERERERCTqKJgVERERERGRqKNgVkRERERERKKOaRmuGp2MMftpKSQVyXKB8nA3QnpF5zA26DxGP53D2KDzGP10DmODzmP0O1rOYaG1Ns/biqgOZqOBMWaZtXZquNshPadzGBt0HqOfzmFs0HmMfjqHsUHnMfrpHCrNWERERERERKKQglkRERERERGJOgpmg+/+cDdAek3nMDboPEY/ncPYoPMY/XQOY4POY/Q76s+hxsyKiIiIiIhI1FHPrIiIiIiIiEQdBbMiIiIiIiISdRTMtmOMecgYU2aMWeexbIIxZrExZq0x5lVjTGa7xwwxxhwxxvzQY9ltxph1xpj1xpjvd/J85xhjNhljthpjfuKx/BbXMmuMyQ3wYca07pxDY8xQY0ytMWaV6/ZPj8dMcW2/1RhztzHG+Hg+X+fwdGPMCtf74FFjTHwwjzvWBOI8GmNSjTGvG2M2uj6Lv+/k+byeb2PML4wxJR77PjfYxx5LAvV59HjsK5778rJef1MDLIB/Uz9wnRv3unwfz+frs9jp/2LxLUB/TzM8lq0yxpQbY/7q4/n09zQIAvhZvNQYs8b1f/EPnTyfr/N4seuxTmPMUT0tTE905zy61h3vWrfetT7ZtVzfUwGstbp53IBTgMnAOo9lS4FTXb9fD/y63WOeA54Ffui6Px5YB6QC8cB7wEgvzxUHbAOGA4nAamCca90kYCiwE8gN9+sSTbfunEPXa7zOx36WACcCBngT+Iq/55CWC0W7gdGu7X4F3BDu1yaaboE4j67P4GzX74nAx97OY2fnG/iF+7OtW3jOo8fjLgKe6uQzq7+pEXwOgQ+AqX48n6/PYqf/i3UL/jlst8/lwCndPIf6exrm8wjkALuAPNf9R4E53TyPxwBj/P1M69ar8xgPrAEmeJy/uM7OT7vnivnvqeqZbcda+xFwsN3i0cBHrt/fBb7uXmGMuRDYAaz32P4Y4HNrbY21tgn4kJYvYe2dAGy11m631jYA84ELXO1Yaa3d2esDOgp19xx6Y4zpD2Raaz+zLZ/yx4ALvWzq6xzmAA3W2s3+Pqe0FYjz6PoMvu/6vQFYAQxqv103zrd0UyDOI4AxJh24HfhNJ5vpb2oQBOoc+qOLz2JQnvNoEOhzaIwZDeTTcoGw/Tr9PQ2SAJ3H4cAWa+1+1/33vD2ms/Norf3CWrupRwch3T2PZwFrrLWrXY89YK1t1vfULymY9c96XF+IgIuBwdD65erHwC/bbb8OONkYk2OMSQXOdT+mnYG0XBVxK3Ytk8Dzeg5dhhljVhpjPjTGnOxaNpCW8+Hm69z4OoflQLxH+s038P4ekO7p7nlsZYzJAs4HFnrZb1fn+xZXStZDxpjs3hyAAD07j78G/gTUdLJf/U0NnZ5+Fh92pTz+3EdKXGefxc6eU7qvx39PgcuABa4v0e3p72lodfc8bgXGuNKQ42kJgHx9R/Xne5AEhq/zOBqwxpi3XSnBP3It1/dUFwWz/rke+K4xZjmQATS4lv8C+Iu19ojnxtbaL4A/AO8AbwGrgOZQNVa88nUO9wJDrLWTaOn1ecoEYByW6x/8ZcBfjDFLgCr0HgiEHp1H1z/sp4G7rbXbu/mc9wEjgImu5/lTr45AoJvn0RgzERhhrX0xLK0Vb3ryWbzSWnsccLLrdnWAnlN6pjf/Fy+j5W9qd+nvaeB16zxaayuA7wALaOlZ34m+n0QCX+cxHpgFXOn6OdcYM6e3TxZL31Ojc6BviFlrN9LSze9Orfmqa9V04BvGmP8FsgCnMabOWnuvtfZB4EHXY/4HKDbGDAZedT32n7TkrXteBRkElAT5cI5Kvs6htbYeqHf9vtwYs42Wq2AltE1HHQSUdOccWmsX0/KFDWPMWa79Si/04Dwucz30flrSqv7qemwcLeO9AF6h5QtWh/Pt2t8+90JjzL+B14JwaEeVHpzHacBUY8xOWv5v5RtjPqAlGNLf1DDoyWfRWuv+TFUZY54CTjDGPIn/n0Vf/4ulB3r699QYMwGIt9Yud93X39Mw6uFn8VVcfzuNMTcBzd05jxJ4nfx9KwY+staWu9a9Qct42yfQ99QWwRyQG6032g2aB/JdPx205KRf7+Uxv8CjqIHHY4YAG4EsL4+JB7YDw/hyUPax7bbZiYqVBO0cAnl8OZB+OC0f8L6u++0H1p/bnXPo8ZxJtKS2nh7u1yXabgE6j78BngccXTyX1/MN9PfY5gfA/HC/LtF2C8R59LWvduv0NzVCz6Hr3OS6lifQUjjx2z6ey9dnscv/xboF7xx6PO73wC+7eC79PY3g8+jxmGxasgdHd+c8eqz/ABWACvZ5zKal3odnUdmv+nN+XNvE/PfUsDcg0m60pM3sBRppuRpyA3AbsNl1+z1gvDzuF7QNZj8GNrjeNF6rxLm2O9e1323AHR7Lb3U9fxOwB3gg3K9NtNy6cw5pGey+3vXHfAVwvsd+ptIy/nkbcK+3897FOfwj8AWwCfh+uF+XaLsF4jzScgXSus7DKtftRh/P5/V8A48Da2mpJvgKHl/GdAvNeWy3v6F0XvFYf1Mj8BwCabT0+qxxrf8bri/aXp7P12exy//FugXvHHrsazswtovn09/TCD6Prv1scN0u68F5nOt6/npgH/B2uF+baLp15zy6tr/KdS7XAf/b1fnx8nwx/T3V/aYUERERERERiRoqACUiIiIiIiJRR8GsiIiIiIiIRB0FsyIiIiIiIhJ1FMyKiIiIiIhI1FEwKyIiIiIiIlFHwayIiIiIiIhEHQWzIiIiIiIiEnX+P6j0jpUVUM35AAAAAElFTkSuQmCC\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "forecaster = NaiveForecaster(strategy='last') # monthly seasonal periodicity\n", "run_forecast(y_train, y_test, forecaster, fh, results=False, title=\"Naive Model\")" ] }, { "cell_type": "markdown", "id": "13738850", "metadata": {}, "source": [ "Exponential Smoothing (Holt Winters)" ] }, { "cell_type": "code", "execution_count": 11, "id": "ada2c746", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "sMAPE: 0.16155480390887256\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "forecaster = ExponentialSmoothing()\n", "run_forecast(y_train, y_test, forecaster, fh, coverage=None, results=False, \n", " title=\"Simple Exponential Smoothing\")" ] }, { "cell_type": "code", "execution_count": 12, "id": "654bbac1", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "sMAPE: 0.14023178895227414\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "forecaster = ExponentialSmoothing(trend='add')\n", "run_forecast(y_train, y_test, forecaster, fh, coverage=None, results=False, \n", " title=\"Exponential Smoothing with Additive Trend\")" ] }, { "cell_type": "code", "execution_count": 13, "id": "9b86562a", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "sMAPE: 0.02795240869632776\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "forecaster = ExponentialSmoothing(trend='add', seasonal='add', sp=12)\n", "run_forecast(y_train, y_test, forecaster, fh, coverage=None, results=False,\n", " title=\"Exponential Smoothing with Additive Trend, Additive Seasonality\")" ] }, { "cell_type": "markdown", "id": "2ff91eef", "metadata": {}, "source": [ "AutoETS" ] }, { "cell_type": "code", "execution_count": 14, "id": "17dd975b", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "sMAPE: 0.027163603869653663\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "forecaster = AutoETS(error='add', trend='add', seasonal='add', sp=12)\n", "run_forecast(y_train, y_test, forecaster, fh, coverage=0.9, results=False,\n", " title=\"AutoETS (Error, Trend, Seasonality) Model (A,A,A)\")" ] }, { "cell_type": "markdown", "id": "72017ae5", "metadata": {}, "source": [ "StatsForecast AutoARIMA (Box-Jenkins)" ] }, { "cell_type": "code", "execution_count": 15, "id": "21ebbbb0", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "sMAPE: 0.040386441846221005\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "forecaster = StatsForecastAutoARIMA(sp=12, d=1, max_p=2, max_q=2)\n", "run_forecast(y_train, y_test, forecaster, fh, coverage=0.9, results=False,\n", " title=\"AutoARIMA with 12 seasonal periods\")" ] }, { "cell_type": "markdown", "id": "1fc5ebb3", "metadata": {}, "source": [ "Unobserved Components\n", "\n", "https://www.statsmodels.org/dev/examples/notebooks/generated/statespace_structural_harvey_jaeger.html" ] }, { "cell_type": "code", "execution_count": 16, "id": "14164070", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "sMAPE: 0.1472775915337731\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "forecaster = UnobservedComponents(level=\"local linear trend\", cycle=True, damped_cycle=True, stochastic_cycle=True)\n", "forecaster, y_pred = run_forecast(y_train, y_test, forecaster, fh, coverage=0.9, results=True,\n", " title=\"Unobserved Components Model\")" ] }, { "cell_type": "code", "execution_count": 17, "id": "b3a474a1", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "forecaster.plot_diagnostics(figsize=(10,9)) # Set the figsize to large for high resolution screens" ] }, { "cell_type": "code", "execution_count": 18, "id": "8fb90354", "metadata": { "scrolled": true }, "outputs": [ { "data": { "text/html": [ "\n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "
Unobserved Components Results
Dep. Variable: Number of airline passengers No. Observations: 132
Model: local linear trend Log Likelihood -629.951
+ damped stochastic cycle AIC 1271.902
Date: Fri, 03 Jun 2022 BIC 1289.014
Time: 16:42:19 HQIC 1278.855
Sample: 01-31-1949
- 12-31-1959
Covariance Type: opg
\n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "
coef std err z P>|z| [0.025 0.975]
sigma2.irregular 1.241e-06 97.894 1.27e-08 1.000 -191.869 191.869
sigma2.level 1013.7659 8218.264 0.123 0.902 -1.51e+04 1.71e+04
sigma2.trend 1.129e-07 30.479 3.7e-09 1.000 -59.738 59.738
sigma2.cycle 2.056e-05 8187.919 2.51e-09 1.000 -1.6e+04 1.6e+04
frequency.cycle 0.0436 0.068 0.640 0.522 -0.090 0.177
damping.cycle 1.0000 0.088 11.348 0.000 0.827 1.173
\n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "
Ljung-Box (L1) (Q): 10.74 Jarque-Bera (JB): 5.67
Prob(Q): 0.00 Prob(JB): 0.06
Heteroskedasticity (H): 7.91 Skew: -0.37
Prob(H) (two-sided): 0.00 Kurtosis: 3.72


Warnings:
[1] Covariance matrix calculated using the outer product of gradients (complex-step)." ], "text/plain": [ "\n", "\"\"\"\n", " Unobserved Components Results \n", "========================================================================================\n", "Dep. Variable: Number of airline passengers No. Observations: 132\n", "Model: local linear trend Log Likelihood -629.951\n", " + damped stochastic cycle AIC 1271.902\n", "Date: Fri, 03 Jun 2022 BIC 1289.014\n", "Time: 16:42:19 HQIC 1278.855\n", "Sample: 01-31-1949 \n", " - 12-31-1959 \n", "Covariance Type: opg \n", "====================================================================================\n", " coef std err z P>|z| [0.025 0.975]\n", "------------------------------------------------------------------------------------\n", "sigma2.irregular 1.241e-06 97.894 1.27e-08 1.000 -191.869 191.869\n", "sigma2.level 1013.7659 8218.264 0.123 0.902 -1.51e+04 1.71e+04\n", "sigma2.trend 1.129e-07 30.479 3.7e-09 1.000 -59.738 59.738\n", "sigma2.cycle 2.056e-05 8187.919 2.51e-09 1.000 -1.6e+04 1.6e+04\n", "frequency.cycle 0.0436 0.068 0.640 0.522 -0.090 0.177\n", "damping.cycle 1.0000 0.088 11.348 0.000 0.827 1.173\n", "===================================================================================\n", "Ljung-Box (L1) (Q): 10.74 Jarque-Bera (JB): 5.67\n", "Prob(Q): 0.00 Prob(JB): 0.06\n", "Heteroskedasticity (H): 7.91 Skew: -0.37\n", "Prob(H) (two-sided): 0.00 Kurtosis: 3.72\n", "===================================================================================\n", "\n", "Warnings:\n", "[1] Covariance matrix calculated using the outer product of gradients (complex-step).\n", "\"\"\"" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" } ], "source": [ "forecaster.summary()" ] }, { "cell_type": "markdown", "id": "b3ff8d37", "metadata": {}, "source": [ "With unobserved components, it's helpful to be able to plot the components...which doesn't appear to be possible in `sktime`. Below we use statsmodels to plot the results: " ] }, { "cell_type": "code", "execution_count": 19, "id": "28d72644", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "import statsmodels.api as sm\n", "\n", "# Model specifications\n", "\n", "# Unrestricted model, using string specification\n", "unrestricted_model = {\n", " 'level': 'local linear trend', 'cycle': True, 'damped_cycle': True, 'stochastic_cycle': True\n", "}\n", "\n", "y_train2 = y_train.reset_index()[\"Number of airline passengers\"]\n", "\n", "# Output\n", "output_mod = sm.tsa.UnobservedComponents(y_train2, **unrestricted_model)\n", "output_res = output_mod.fit(method='powell', disp=False)\n", "\n", "# print(output_res.summary())\n", "fig = output_res.plot_components(legend_loc='lower right', figsize=(15, 15));" ] }, { "cell_type": "markdown", "id": "aa319844", "metadata": {}, "source": [ "And we can calculate the MAPE quickly:" ] }, { "cell_type": "code", "execution_count": 20, "id": "5a03ae1f", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.11036773716103883" ] }, "execution_count": 20, "metadata": {}, "output_type": "execute_result" } ], "source": [ "np.mean(np.abs((output_res.predict(start=132, end=132+11).values - y_test.values)/y_test.values))" ] }, { "cell_type": "markdown", "id": "e6a6776e", "metadata": {}, "source": [ "### FB Prophet" ] }, { "cell_type": "code", "execution_count": 22, "id": "b3255a4f", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "2022-06-03 16:42:36 prophet INFO: Disabling weekly seasonality. Run prophet with weekly_seasonality=True to override this.\n", "2022-06-03 16:42:36 prophet INFO: Disabling daily seasonality. Run prophet with daily_seasonality=True to override this.\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "sMAPE: 0.044003264359127055\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Prophet requires to have data with a pandas.DatetimeIndex\n", "y = load_airline().to_timestamp(freq='M')\n", "y_train2, y_test2 = temporal_train_test_split(y, test_size=12)\n", "fh2 = ForecastingHorizon(y_test2.index, is_relative=False)\n", "\n", "forecaster = Prophet(\n", " seasonality_mode='multiplicative',\n", " n_changepoints=int(len(y) / 12),\n", " add_country_holidays={'country_name': 'Germany'},\n", " yearly_seasonality=True)\n", "forecaster, y_pred = run_forecast(y_train2, y_test2, forecaster, fh2, coverage=0.9, results=True,\n", " title=\"FB Prophet Model with Multiplicative Yearly Seasonality\")" ] }, { "cell_type": "code", "execution_count": 23, "id": "4dc09f98", "metadata": {}, "outputs": [], "source": [ "# redo y\n", "y = load_airline()" ] }, { "cell_type": "markdown", "id": "b410ab8d", "metadata": {}, "source": [ "## Comparing Against a Heuristic Baseline\n", "\n", "Now let's try a 'linearity' model which predicts quarterly spending based a monthly \"percentage of full quarter spending\" approach. This is a common approach when predicting how the end of quarter spending is shaping up." ] }, { "cell_type": "code", "execution_count": 24, "id": "602db88b", "metadata": {}, "outputs": [], "source": [ "# \"Linearity\" based on date\n", "y_t = pd.DataFrame(y)\n", "y_t[\"Q\"] = y_t.index.quarter\n", "y_t[\"YYYYQ\"] = y_t.index.year.astype(str) + y_t.index.quarter.astype(str)\n", "\n", "# Cumulative Percentage of the Quarter\n", "y_t[\"cum_pct\"] = y_t.groupby(by=\"YYYYQ\")[\"Number of airline passengers\"].transform(lambda x: np.cumsum(x)/sum(x))\n", "y_t[\"cum_sum\"] = y_t.groupby(by=\"YYYYQ\")[\"Number of airline passengers\"].transform(lambda x: np.cumsum(x))\n", "y_t[\"qtr_total\"] = y_t.groupby(by=\"YYYYQ\")[\"Number of airline passengers\"].transform(lambda x: sum(x))" ] }, { "cell_type": "code", "execution_count": 25, "id": "b07b7d39", "metadata": {}, "outputs": [], "source": [ "# Find the month, and month in quarter using a mapping dictionary\n", "month_in_qtr = dict()\n", "for j in np.arange(1,4):\n", " for i in range(j,13,3):\n", " month_in_qtr[i] = j\n", "y_t[\"M\"] = y_t.index.month\n", "y_t[\"Month_in_Qtr\"] = y_t[\"M\"].map(month_in_qtr)" ] }, { "cell_type": "code", "execution_count": 26, "id": "cde47be2", "metadata": {}, "outputs": [], "source": [ "# Calculate the Previous 4Q Average Percent of Qtr Spending\n", "y_t[\"P4Q_avg\"] = y_t.groupby(\"Month_in_Qtr\")['cum_pct'].transform(lambda x: x.rolling(4).mean())" ] }, { "cell_type": "code", "execution_count": 27, "id": "7ee3ac36", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 27, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "y_t.query(\"Month_in_Qtr==1\")[\"cum_pct\"].plot()" ] }, { "cell_type": "code", "execution_count": 28, "id": "e06d66de", "metadata": {}, "outputs": [], "source": [ "# Make the Prediction \n", "y_t[\"Pred1\"] = y_t[\"cum_sum\"]/y_t[\"P4Q_avg\"]" ] }, { "cell_type": "code", "execution_count": 29, "id": "197e93b9", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "MAPE: 0.04624210089028735\n", "sMAPE: 0.04644477882368189\n" ] }, { "data": { "text/plain": [ "(
, )" ] }, "execution_count": 29, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Calculate accuracy scores and plot the forecasts\n", "subset = y_t.query(\"Month_in_Qtr==1\")\n", "print(\"MAPE: \", mean_absolute_percentage_error(subset.qtr_total[4:], subset.Pred1[4:], symmetric=False))\n", "print(\"sMAPE: \", mean_absolute_percentage_error(subset.qtr_total[4:], subset.Pred1[4:], symmetric=True))\n", "# Quarterly Data\n", "plot_series(subset.qtr_total, subset.Pred1, labels=[\"Actuals\", \"Pred\"])" ] }, { "cell_type": "code", "execution_count": 30, "id": "e4d5a4a3", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "MAPE: 0.03226663000165359\n", "sMAPE: 0.032058941340971044\n" ] }, { "data": { "text/plain": [ "(
, )" ] }, "execution_count": 30, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "subset = y_t.query(\"Month_in_Qtr==2\")\n", "print(\"MAPE: \", mean_absolute_percentage_error(subset.qtr_total[4:], subset.Pred1[4:], symmetric=False))\n", "print(\"sMAPE: \", mean_absolute_percentage_error(subset.qtr_total[4:], subset.Pred1[4:], symmetric=True))\n", "# Quarterly Data\n", "plot_series(subset.qtr_total, subset.Pred1, labels=[\"Actuals\", \"Pred\"])" ] }, { "cell_type": "markdown", "id": "1b492c61", "metadata": {}, "source": [ "Great accuracy scores on the airpassengers dataset, but this is only forecasting for the end of each quarter, it can't forecast beyond that horizon. " ] }, { "cell_type": "code", "execution_count": null, "id": "85f16085", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "789c79e2", "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "explore-new", "language": "python", "name": "explore-new" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.8.13" } }, "nbformat": 4, "nbformat_minor": 5 }