{ "nbformat": 4, "nbformat_minor": 0, "metadata": { "colab": { "provenance": [] }, "kernelspec": { "name": "python3", "display_name": "Python 3" }, "language_info": { "name": "python" } }, "cells": [ { "cell_type": "markdown", "source": [ "# Predicting and Understanding Future Rainfall Changes Using Statistical Learning\n", "For: Georgia Institute of Technology Practical Math and Coding Course, Fall 2023\n", "\n", "Put together by: Meghana Ranganathan" ], "metadata": { "id": "xFx-R0iEOoeD" } }, { "cell_type": "code", "execution_count": null, "metadata": { "id": "OapJo0sNI5te" }, "outputs": [], "source": [ "# Import Things\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from scipy.interpolate import CubicSpline, UnivariateSpline\n", "from scipy.optimize import curve_fit" ] }, { "cell_type": "markdown", "source": [ "### Define Initial Data\n", "Say we have observations over 20 years of the rainfall system. Here, we get our \"observations\" of three predictors: mean land temperature, Nino3.4 Index (a measure of sea-surface temperature), and mean sea level pressure." ], "metadata": { "id": "j6fUfs3LO6fG" } }, { "cell_type": "code", "source": [ "xis = np.linspace(0, 20, 20 * 12) # define timespan" ], "metadata": { "id": "w6ESEKb8JIcz" }, "execution_count": null, "outputs": [] }, { "cell_type": "markdown", "source": [ "Define and plot temperature observations over the 20 years; temperature increases slightly (with noise) over 20 years:" ], "metadata": { "id": "E2edC827PAmd" } }, { "cell_type": "code", "source": [ "x_temp = 20 + 0.01 * xis + 0.1 * np.sin(2 * np.pi * xis) + 0.1 * np.random.randn(len(xis))\n", "\n", "plt.figure(1)\n", "plt.plot(xis, x_temp)\n", "plt.xlabel('Year')\n", "plt.ylabel('Mean Land Temperature (C)')\n", "plt.show()" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 449 }, "id": "eqLqo2LHJU52", "outputId": "96e3a99f-9d3c-44d0-b9bd-3282ee734ffa" }, "execution_count": null, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "
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\n" }, "metadata": {} } ] }, { "cell_type": "markdown", "source": [ "Define and plot Nino3.4 observations over 20 years; Nino3.4 index varies over timescales of ~7 years:" ], "metadata": { "id": "WWLDvpmHPGjI" } }, { "cell_type": "code", "source": [ "x_nino = np.sin(2 * np.pi * xis / 7) + 0.5 * np.random.randn(len(xis))\n", "plt.figure(2)\n", "plt.plot(xis, x_nino)\n", "plt.xlabel('Year')\n", "plt.ylabel('Nino3.4 Index')\n", "plt.show()" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 449 }, "id": "xWFIpdU9JWPf", "outputId": "899cdfc7-4eb6-4d68-9e20-80201192c541" }, "execution_count": null, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "
" ], "image/png": 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\n" }, "metadata": {} } ] }, { "cell_type": "markdown", "source": [ "Define and plot sea level pressure observations over 20 years:" ], "metadata": { "id": "ShH9uOk5PKWb" } }, { "cell_type": "code", "source": [ "x_slp = 10 + 0.001 * xis + 2 * np.sin(2 * np.pi * xis / 2) + 1 * np.random.randn(len(xis))\n", "\n", "plt.figure(3)\n", "plt.plot(xis, x_slp)\n", "plt.xlabel('Year')\n", "plt.ylabel('Sea Level Pressure (mb)')\n", "plt.show()" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 449 }, "id": "vdelf_xuJp3S", "outputId": "eed233a6-7c1a-4b7c-96df-f781f0467e23" }, "execution_count": null, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "
" ], "image/png": 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\n" }, "metadata": {} } ] }, { "cell_type": "markdown", "source": [ "Now we will create our \"response\" observations. In reality, these observations will be measurements of a system for which we don't know the underlying equations. Here, to generate these synthetic observations, we'll assume some form of the equation, where mean rainfall can be found as a linear combination of the three predictor variables." ], "metadata": { "id": "MHJB79QOPMnt" } }, { "cell_type": "code", "source": [ "# Define our observations of the response variable, rainfall\n", "yis = 20 + 0.05432 * x_temp + 0.004546 * x_nino + 0.0354 * x_slp\n", "\n", "# Plot observations\n", "plt.figure(4)\n", "plt.scatter(xis, yis)\n", "plt.xlabel('Year')\n", "plt.ylabel('Rainfall (mm)')\n", "plt.show()" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 449 }, "id": "1ldqhoV9Jq2A", "outputId": "d5c0873f-7feb-4ba9-a8c3-b51a79aae9fe" }, "execution_count": null, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "
" ], "image/png": 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\n" }, "metadata": {} } ] }, { "cell_type": "markdown", "source": [ "### Linear Regression\n", "We will first try a form of \"parametric\" statistical learning known as linear regression. In this method, we will assume that the true underlying f function is linear with respect to the predictor variables, which reduces this problem down to a problem of finding parameters of a linear equation.\n", "\n", "We will first show a form of \"univariate linear regression\", in which we are assuming that f is only a function of one variable, in this case land temperature. We know this is not actually the case, but it is common that we may not know all of the underlying predictor variables, so when we do these regressions, we are only doing regressions for some subset of the true predictors." ], "metadata": { "id": "V6lOqdJmPvDb" } }, { "cell_type": "markdown", "source": [ "Do univariate linear regression" ], "metadata": { "id": "VBxGBTYNKsKf" } }, { "cell_type": "code", "source": [ "xlr = np.column_stack((np.ones(len(x_temp)), x_temp)) # define the X matrix of predictor variables (in this case, just one, plus a vector of 1's)\n", "ylr = yis # make sure the y vector is oriented properly\n", "b = np.linalg.lstsq(xlr, ylr, rcond=None)[0] # Use the numpy.linalg.lstsq function for the linear regression (matrix inversion)\n", "print(b)" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "Ig6OVscVJyQi", "outputId": "ac9ca2e4-1091-4d82-e355-59befc2b163c" }, "execution_count": null, "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ "[ 2.14768663e+01 -1.53723678e-03]\n" ] } ] }, { "cell_type": "markdown", "source": [ "Once we have our estimates of the parameters, we can put them back into our assumed linear equation and generate y^, our estimates of the response (in this case, rainfall). The goal, for a good regression, is for y^ to be very close to our observations y." ], "metadata": { "id": "Tl_YBIIrQGSe" } }, { "cell_type": "code", "source": [ "yhat = b[0] + b[1] * x_temp" ], "metadata": { "id": "BEdDcuQpJ_g5" }, "execution_count": null, "outputs": [] }, { "cell_type": "markdown", "source": [ "We now want to see how well our linear regression fared. First, let's evaluate whether the relationship between temperature and rainfall is truly linear by plotting rainfall against temperature. Then, we can plot our estimated linear regression on top and see how well our line approximates the data." ], "metadata": { "id": "f1ngEwl1QLwI" } }, { "cell_type": "code", "source": [ "plt.figure(5)\n", "plt.scatter(x_temp, yis, label='Observed Temperature (C)')\n", "plt.plot(x_temp, yhat, label='Predicted Rainfall (mm)')\n", "plt.xlabel('Observed Temperature (C)')\n", "plt.ylabel('Predicted Rainfall (mm)')\n", "plt.legend()\n", "plt.show()" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 449 }, "id": "QHZpTVTNKAKF", "outputId": "987efdde-c944-4fcd-bf75-12b07c8a765f" }, "execution_count": null, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "
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\n" }, "metadata": {} } ] }, { "cell_type": "markdown", "source": [ "It's not an obvious fit. Let's see how well we reproduce the observations of rainfall over time." ], "metadata": { "id": "67UdPh8gQOy_" } }, { "cell_type": "code", "source": [ "plt.figure(6)\n", "plt.scatter(xis, yis, label='Observations')\n", "plt.plot(xis, yhat, label='Prediction')\n", "plt.xlabel('Year')\n", "plt.ylabel('Rainfall (mm)')\n", "plt.legend(['Observations', 'Prediction'])\n", "plt.show()" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 449 }, "id": "lRczEw1lKMtH", "outputId": "cb499b40-890b-422f-ddf3-8507ab9015aa" }, "execution_count": null, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "
" ], "image/png": 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\n" }, "metadata": {} } ] }, { "cell_type": "markdown", "source": [ "It's not great. We can't reasonably say that this linear model can be used to predict rainfall after the 20 years of observations. This isn't surprising, since we know that temperature is not the only predictor that we need to think about. What if we now include all three variables: temperature, Nino3.4 index, and sea level pressure? Now, we're doing a multivariate regression." ], "metadata": { "id": "4JhW4oOEQaoy" } }, { "cell_type": "code", "source": [ "xlr = np.column_stack((np.ones(len(x_temp)), x_temp, x_nino, x_slp)) # Create the X matrix of predictor variables\n", "ylr = yis # Make sure the y vector is oriented properly\n", "b = np.linalg.lstsq(xlr, ylr, rcond=None)[0] # Use the numpy.linalg.lstsq function for multivariate linear regression (matrix inversion)\n", "print(b)" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "rBKN343YKQt3", "outputId": "3b207d4f-2fc2-4957-dde3-052a2e67ef2c" }, "execution_count": null, "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ "[ 2.10231328e+01 9.24416208e-03 -1.44387901e-03 2.36816413e-02]\n" ] } ] }, { "cell_type": "code", "source": [ "yhat = b[0] + b[1] * x_temp + b[2] * x_nino + b[3] * x_slp\n", "\n", "# plot the estimates against observations to see how well our regression fared\n", "plt.figure(7)\n", "plt.scatter(xis, yis, label='Observations')\n", "plt.plot(xis, yhat, label='Prediction')\n", "plt.xlabel('Year')\n", "plt.ylabel('Rainfall (mm)')\n", "plt.legend(['Observations', 'Prediction'])" ], "metadata": { "id": "ddnt7DlAQhIr" }, "execution_count": null, "outputs": [] }, { "cell_type": "markdown", "source": [ "Much better! Again, not surprising, since we know that the \"true\" model is in fact linear, so linear regression would perform quite well. In fact, because this system had very little noise or error, we have produced an almost perfect model. In reality, this is quite hard to do because systems aren't so clean or straightforward." ], "metadata": { "id": "NdX_5YLdQu3t" } }, { "cell_type": "markdown", "source": [ "### What if it's not linear?\n", "Let's complicate the situation. What if the \"true\" underlying relationship between our predictors and our resposne variable isn't linear. Now, we have rainfall being proportional to the square of mean temperature, rather than linearly proportional. How well does linear regression perform now?" ], "metadata": { "id": "c3QwbzBtK6sc" } }, { "cell_type": "code", "source": [ "yis = 0.0001432 * x_temp**4 + 0.4646 * x_nino**3 + 0.00354 * x_slp**2\n", "\n", "plt.figure(8)\n", "plt.scatter(xis, yis)\n", "plt.xlabel('Year')\n", "plt.ylabel('Rainfall (mm)')\n", "plt.show()" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 449 }, "id": "KZwwcMJQK48l", "outputId": "38553522-9c46-47ed-d55f-1d2c621145d5" }, "execution_count": null, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "
" ], "image/png": 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\n" }, "metadata": {} } ] }, { "cell_type": "code", "source": [ "xlr = np.column_stack((np.ones(len(x_temp)), x_temp, x_nino, x_slp)) # put together our X matrix of predictors\n", "ylr = yis # % make sure our vector of responses y is oriented properly\n", "b = np.linalg.lstsq(xlr, ylr, rcond=None)[0] # use the magic backslash\n", "yhat = b[0] + b[1] * x_temp + b[2] * x_nino + b[3] * x_slp # calculate our estimates of the response y^\n", "\n", "plt.figure(10)\n", "plt.scatter(xis, yis, label='Observations')\n", "plt.plot(xis, yhat, label='Prediction')\n", "plt.xlabel('Year')\n", "plt.ylabel('Rainfall (mm)')\n", "plt.legend(['Observations', 'Prediction'])\n", "plt.show()" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 449 }, "id": "kfTWrlFMQ2Xc", "outputId": "f4e5b76b-5076-44e1-d0bd-37cf4a4a91f7" }, "execution_count": null, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "
" ], "image/png": 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\n" }, "metadata": {} } ] }, { "cell_type": "markdown", "source": [ "It does not perform as well as it did when the underlying model was linear, understandably. We're trying to fit a linear model to a fundamentally nonlinear system! In a bit, we'll revisit this and figure out what happens if we try to use a model that's not linear. There are so many models to choose from!" ], "metadata": { "id": "plAXtjJnRNKH" } }, { "cell_type": "markdown", "source": [ "### Add in Noise\n", "Before we move on, let's talk about error, or noise in our system. Recall that the system we're trying to understand/predict can be written as y=f(X)+e, where e is some error term. It represents underlying noise in our system. While our predictors can tell us a lot about the response variable, sometimes they can't tell us everything. So far, we've been assuming that if we have perfect knowledge of our predictor variables, we can perfectly represent our system with a model. Here, let's look at a case where we can't. There's underlying noise in our system that we can't know.\n", "\n", "To look at this case, we're going to consider an underlying model is linear, so that linear regression should be a very good model to use. But then we'll add noise..." ], "metadata": { "id": "t0AvOM9ELIc9" } }, { "cell_type": "code", "source": [ "yis = 20 + 0.05432 * x_temp + 0.004546 * x_nino + 0.0354 * x_slp\n", "yis = yis + 0.8 * np.random.randn(len(yis)) # Adding normally distributed error\n", "\n", "plt.figure(11)\n", "plt.scatter(xis, yis)\n", "plt.xlabel('Year')\n", "plt.ylabel('Rainfall (mm)')\n", "plt.show()" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 449 }, "id": "aDYsGGa9K_lt", "outputId": "326cfc27-83a9-43ed-adba-c386212a65fd" }, "execution_count": null, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "
" ], "image/png": 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\n" }, "metadata": {} } ] }, { "cell_type": "code", "source": [ "# Multivariate Linear Regression\n", "xlr = np.column_stack((np.ones(len(x_temp)), x_temp, x_nino, x_slp)) # put together our X matrix of predictors\n", "ylr = yis # make sure our vector of responses y is oriented properly\n", "b = np.linalg.lstsq(xlr, ylr, rcond=None)[0] # Use the numpy.linalg.lstsq function for multivariate linear regression (matrix inversion)\n", "yhat = b[0] + b[1] * x_temp + b[2] * x_nino + b[3] * x_slp # calculate our estimates of the response y^\n", "\n", "plt.figure(13)\n", "plt.scatter(xis, yis, label='Observations')\n", "plt.plot(xis, yhat, label='Prediction')\n", "plt.xlabel('Year')\n", "plt.ylabel('Rainfall (mm)')\n", "plt.legend(['Observations', 'Prediction'])\n", "plt.show()" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 449 }, "id": "pUMcaEIGRXR9", "outputId": "13f21930-334e-4da8-be02-0364ff5c252e" }, "execution_count": null, "outputs": [ { "output_type": 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CAI4cOYK0tDTExsZi3759qKurw5gxY+Dp6YkTJ04gISFBHRCo/ubLL7/Epk2b8PPPP+PkyZMoKirC7t279b7mCy+8gG3btuHrr7/G1atXsW7dOnh4eCAsLAy//fYbACAtLQ05OTlYs2aN1ueYNWsWzp49i7179yIxMREMw2D8+PGoq6tTb1NZWYkvvvgC//d//4fjx48jOzsb77zzjtmfGSGEEHGjoaVGqurkiProoFVeO/XjMXBzNu1wMAyDI0eO4ODBg3jzzTdRUFAAd3d3bNiwQT2ktHnzZigUCmzYsEG96vjGjRvh4+ODY8eOYfTo0fjqq6/w/vvv46mnngIA/PDDDzh4UPfncf36dezYsQOxsbEYOXIkAKBNmzbqx1VDSAEBAfDx8dH6HOnp6di7dy8SEhIwaNAgAMCWLVsQFhaG33//Hc8++ywAoK6uDj/88APatm0LAJg3bx4+/vhjkz4vQgghtoMCGRHbt28fPDw8UFdXB4VCgeeeew5Lly5FTEwMunbtqpEXc/HiRWRkZMDT01PjOaqrq5GZmYmSkhLk5OSgf//+6sccHR3Rp08fnb1FycnJcHBwwKOPPmrye7h69SocHR01XtfPzw8dO3bE1atX1b9zc3NTBzEAEBwcjPz8fJNflxBCiG2gQKYRVycHpH48xmqvbazhw4fj+++/h7OzM0JCQuDo+PBwuru7a2xbXl6O3r17Y8uWLc2ep2XLlsbvMJRDWZbi5OSk8bNEIuFkOI4QQoi4USDTiEQiMXl4xxrc3d3Rrl07Vtv26tULv/zyCwICAuDl5aV1m+DgYJw6dQpDhw4FANTX1+PcuXPo1auX1u27du0KhUKB+Ph49dBSY6oeIblcrnO/OnfujPr6epw6dUo9tFRYWIi0tDRERUWxem+EEELsFyX72okZM2bA398fkyZNwokTJ5CVlYVjx47hrbfewp07dwAA8+fPx6efforff/8d165dw9y5c5vVgGksIiICL774Il5++WX8/vvv6ufcsWMHAKB169aQSCTYt28fCgoKUF5e3uw52rdvj0mTJmH27Nk4efIkLl68iJkzZyI0NBSTJk3i5bMghBBiOyiQsRNubm44fvw4wsPD8dRTT6Fz58545ZVXUF1dre6hefvtt/H888/jxRdfxMCBA+Hp6Yknn3xS7/N+//33eOaZZzB37lx06tQJs2fPRkVFBQAgNDQUy5Ytw3vvvYfAwEDMmzdP63Ns3LgRvXv3xuOPP46BAweCYRj8+eefzYaTCCGEkKYkjI0nGpSWlsLb2xslJSXNhlSqq6uRlZWFyMhIuLi4WGkPidjQeUMIIfzT1343Rj0yhBBCCBEtCmQIIYQQIloUyBBCCCFEtCiQIYQQQohoUSADUGE1YhQ6XwghRDjsOpBRTe+trKy08p4QMVGdLzQ9nBBCrE88ZWx54ODgAB8fH/WaPW5ubuoFFQlpimEYVFZWIj8/Hz4+PnBwMH5ZCUIIIdyy60AGAIKCggCAFiAkrPn4+KjPG0IIIdZl94GMRCJBcHAwAgICUFdXZ+3dIQLn5OREPTGEECIgdh/IqDg4OFADRQghhIiMXSf7EkIIIUTcKJAhhBBCiGhRIEMIIYQQ0aJAhhBCCCGiRYEMIYQQQkSLAhlCCCGEiBYFMoQQQggRLQpkCCGEECJaVBCPEI7IFQxOZxUhv6waAZ4u6BfpCwcprd1FCCF8okCGEA4cSMnBsj9SkVNSrf5dsLcLlkyMwtjoYCvuGSGE2DYaWiLETAdScjBn83mNIAYAckuqMWfzeRxIybHSnhFCiO2jQIYQM8gVDJb9kQpGy2Oq3y37IxVyhbYtCCGEmIsCGULMcDqrqFlPTGMMgJySapzOKrLcThFCiB2hQIYQM+SX6Q5iTNmOEEKIcSiQIcQMAZ4unG5HCCHEOBTIEGKGfpG+CPZ2ga5J1hIoZy/1i/S15G4RQojdoECGEDM4SCVYMjEKAJoFM6qfl0yMskg9GbmCQWJmIfYk30ViZiElGBNC7ALVkSHETGOjg/H9zF7N6sgEWbCODNWxIYTYKwnDMDZ921ZaWgpvb2+UlJTAy8vL2rtDbJi1Kvuq6tg0/SKrXvn7mb0omCGEiA7b9pt6ZAjhiINUgoFt/Sz6mobq2EigrGMzKiqIlksghNgkypEhRMSojg0h3KJcM/GhHhlCRIzq2BDCHco1Y0doC+RSIEOIiFEdG0K4oSvXTLVmGuWaKQkx2KOhJUJEjOrYEGI+WjONHaEukEuBDCEiJqQ6NoSIFeWaGSbkYI8CGUJETlXHJshbc/goyNuFusMJYYGrXDNbThQWcrBHOTKE2ICx0cEYFRUkqAQ8QsSCi1wzIeaOcEnIEwsokCHERlijjg0htkCVa5ZbUq116EQCZQ+nrlwze0gUFvLEAhpaIoQQYtfMyTUTcu4Il4Q8sYACGUKIVdhyPgERH1NzzYScO8IlIU8soKElQojF2Xo+AREnU3LNhJw7wjUhLJCrjVUDmRUrVmDXrl24du0aXF1dMWjQIKxcuRIdO3ZUb/P666/j8OHDuHfvHjw8PNTbdOrUyYp7bn+EVsnR1tny520P+QREvIzNNRNy7ggfhDixwKqBTHx8PGJiYtC3b1/U19fjgw8+wOjRo5Gamgp3d3cAQO/evTFjxgyEh4ejqKgIS5cuxejRo5GVlQUHBwdr7r7dsKe7ZyEEELb8edMil8TWmJsoLEZCm1ggYRhGMAPTBQUFCAgIQHx8PIYOHap1m0uXLqF79+7IyMhA27Ztmz1eU1ODmpoa9c+lpaUICwszuAw40U7X3bOqibGlu2chBBC2/nknZhZi+vokg9ttmz1AUBdKQvRRfW8BaHx3beV7ay2lpaXw9vY22H4LKtm3pKQEAODrqz1yraiowMaNGxEZGYmwsDCt26xYsQLe3t7qf7q2I4bZSzY+IIzS2/bwedtTPgGxH1SU0roEk+yrUCiwYMECDB48GNHR0RqPfffdd3j33XdRUVGBjh07IjY2Fs7Ozlqf5/3338eiRYvUP6t6ZIjxjMnGF/Pds1CGO+zh87a3fAJiP4SYO2IvBNMjExMTg5SUFGzfvr3ZYzNmzMCFCxcQHx+PDh06YMqUKaiu1n7Bl8lk8PLy0vhHTGMvd89CmT5pD5+3kGtREGIuVe7IpB6hGNjWj4IYCxFEIDNv3jzs27cPR48eRatWrZo97u3tjfbt22Po0KHYuXMnrl27ht27d1thT+2Lvdw9CyWAsIfPW8i1KPShmjeECJdVh5YYhsGbb76J3bt349ixY4iMjGT1NwzDaCT0En7YSza+UAIIIXzelpi1JdRaFLoIIQmcEKKbVQOZmJgYbN26FXv27IGnpydyc3MBKHtgXF1dcePGDfzyyy8YPXo0WrZsiTt37uDTTz+Fq6srxo8fb81dtwuqu+c5m89DAu3Z+EK8ezaWEAIIwPqftyUbbLHkE1DNG0KEz6pDS99//z1KSkowbNgwBAcHq//98ssvAAAXFxecOHEC48ePR7t27TB16lR4enri77//RkBAgDV33W7YQza+kIY7rPV5W2PWltDzCexhFhkhtkBQdWT4wHYeOtFPCIXi+CakIQRLft5yBYMhK+N0JjyreqROLh5hc8dcH6p5I1z2cD0i7NtvwUy/JsImtEqOfBDScIclP297mPZtCqEkgRNNQrrhIMJAgQwhjdhDwNYUNdjaCSUJnDxEOUtEG0FMvyaEWA812NpRzRthoZwlogsFMoTYOWqwtRNSEjgRTuFKIjwUyBBi56jB1s0eZu2JBduhzYSMAuqVsTM0a4kQAoCSKPWhWTLWx3YWGUDnra1g235TIEOIAAiloRTKfvDBlt+bPVCVCdBVuLIx1VGlXjNxo+nXhIiEkHpCbHXWlpA+Y2IafZWvm7LkqvXE+ihHxgpoATqiYo2KuvaGPmPboStnSRuxJv9S+2A86pGxMLozJCqGppOyuaOk4RL9uPiMibCoCleujr2OtUczDG4vpvpH1D6YhnpkLIjuDElj5k4nPZCSgyEr4zB9fRLmb0/G9PVJGLIyjs6jRmjKrm1ykEowuJ0/q23FUv+I2gfTUSBjIVTMiTRlTkVduuixQ1WLbZct1T+i9sE8FMhYCN0ZkqZMrahLFz32qGqx7bKl+kfUPpiHAhkLoTtD0pSpd5RsL3pJmYV2nzRoS3ftpDlbKVhI7YN5KNnXQujOkDSlbzqpvjtKthezmK3nUVxVp/7ZHpMGTf2MiXgIadV6U1H7YB7qkbEQujMk2phyR8n2YtY4iAHsN3/GVu7aiW6q+keTeoRiYFs/UQUxALUP5qLKvhakStAEtN8Z0kXVfhkzjdqYCqdNSaBswE8uHiG6i725aKo6ETJqH5pj235Tj4wF0Z0h0cbYBlZfkqMh9pw0KPa7dmLbqH0wHfXIWAHdGRIVcwpgaftbH1enZkNK2qyZ1gOTeoSavuOEEF5Q+/AQLRrZQIiBDCHAw67kpl9AY7qSm170FAyDGRtOGXztbbMH2OSaSoQQ20GLRhKDKPK3Hq5K5zdd5FGuYBDs7aIzf0aVI0NJg4QQW0GBjJ2iNT2sy5gCWMb0nNB0Y0KIvaFkXztE5e2tj88CWJQ0SIjxaNVp8aIeGTsj9NWA7WW4i+8CWLZQJIwQS6EeanGjQMbO8DWkwQV7upioCmDxmcvSNH+GEEsR0w2JrqR7VQ819WIKHwUydkaoa3rY28WEclmIrRLTDYnQe6gJO5QjY2eEuKaHva7mTLksxFao8ks+/uMK3hBR/h2tOm0bqEfGzjyoqIFUAuiKCawxPVfIw118o1wWYgwhDtlo64FpSqi9G0LtoSbGoUDGjhxIyUHM1gsG1+ex9JCGvV9MuM5lEWJjR8wnxCEbXUPC2gjxhkSIPdTEeBTI2Al9wzcqUgmwdrrlhzToYsIdITZ2xHxCzCFjc03RRkg3JJZIuif8oxwZO2Fo+AZQDje1cHe20B49ZGgJewAI8pLRxcQAqg9km4SaQ8bmmqKNkG5I9C3ASkn34kGBjJ0Q8vANm9Wcq+sViE3NtdxOiQwXjR0VBBMmoSakGnutkEDZOyi0GxJKuhc/GlqyE0IfvlFdTN7bdRnFlc1Xby6prLPJadhcMTdhmoakhEuoNyHGXCuE3rtBSffiRj0ydsLQ8I0Q7pZGRQXBxdFB62O2PA2bC+Y0djQkJWxCvQlhMySsIobeDVXS/aQeoRjY1o+CGBGhQMZOiGEs+HRWEXJLhdeFLgamNnZCzb8gDwn1JoTNkPArgyOwbfYAnFw8QtBBDBE3CmTsiNDHgoXahS4GpjZ2Qs2/IA8J6SakaR7VqKggrdeUYG8X/DCzFz6c2IV6NwjvKEfGzgh5LFioXehiYOqSBxQ8ioPqJqRpHlOQBfOY9OVRnVw8QpDXFGIfKJCxQ0JdTJBqOpjHlMaOgkfxsOZNiBDr2BCiQoEM0cuSVWJpIUXzGdvYUfAoLta4CeFqYUWqOE34QoEM0YmrKbnGXMCE0IXOFWtduI1p7Ch4NI09NcpcrIVG0/sJnyQMw9j0dITS0lJ4e3ujpKQEXl5e1t4d0dDVlay6VLPtSjb1Aib2hkJsF26x7a812dtntSf5LuZvTza43ZppPTCpR2iz33N1LSH2h237TYEMaUauYDBkZZzOuzDVcMPJxSP0Bhf2egET6/sWe/BoCWI9tuZIzCzE9PVJBrfbNntAsx4Zrq4lxD6xbb/Nnn5dU1Nj7lMQgeFiSq691icR8/umgmD6ifnY6mNoaQpz6tjQ9H7xE8PSJUbnyPz111/Yvn07Tpw4gdu3b0OhUMDd3R09e/bE6NGj8dJLLyEkJISPfbVrlrxb5mJKLhfj6mJkr+/bHtjisWUzTGZOHhVN7xc3sQyjsu6R2b17Nzp06ICXX34Zjo6OWLx4MXbt2oWDBw9iw4YNePTRR3H48GG0adMGb7zxBgoKCvjcb7tyICUHQ1bGYfr6JMzfnozp65MwZGUcb6XjuZiSa68XMHPftxjufuyVrZ3TxixNYWoxTZreL15iWrqEdY/MZ599htWrV2PcuHGQSpvHP1OmTAEA3L17F9988w02b96MhQsXcrendsoa9Ru4mJJr6xcwXT1k5rxvsdz92CtbOqdNmVJtSh0bmt4vTlxNubcU1oFMYmIiq+1CQ0Px6aefmrxDtoCrYSBrnUxcTMkVwgWMr+E4fQHHqKggk963oYD12+d6ooW7jBJxrUgI5zRXTB0mM7aODU3vFyexDaNSHRmOcXlXbc2Tydx6Lta+gPHVu8Gmh8zY980miXTetgtoPMoklJ4aMc50MnWfrX1Oc8mSw2S2VBvKXohtGNWkQIZhGOzcuRNHjx5Ffn4+FAqFxuO7du3iZOfEhuthIGufTOaWRLfWBYyv4Ti5gsHSvYZ7yE4uHmHU+zYUsAJA01QZIZSGF+NQmLn7bMo5LcRgz9LDZEJe4400J7ZhVJMCmQULFmDdunUYPnw4AgMDIZHQycjHMJAQTiZzS6Jb+gLG53Dc2rh05Jay6yEz5n2bEohae5xajGvvcLXPxhxboQZ71hgmE+oab6Q5sQ2jmhTI/N///R927dqF8ePHc70/osXHMJDYTiZdLHkBM+Y49Iv0ZR1gHUjJwerD6az2QRWYsH3fpgai1hqnFlsiIMD9PrM5tkIO9mxpmIxwT2znh0kF8by9vdGmTRuu90XU+BgGUp1MwMOTR0WIJ5MQsP18/5eYhd7LY1lNaVc1gmwZG5gYKjhmiKXHqfkucsbHFHRLF2YTQ/E8U6dUE/sgpvPDpB6ZpUuXYtmyZfj555/h6urK9T6JEl/DQJQoZxy2n+9fKXnNfqfrTplNDouKrgqn+ui7+2HD0uPUfOZu8TUUY6l8M1U+TEJGgdE9tNbIpaHcFeMIMd+JT2I5P0wKZKZMmYJt27YhICAAERERcHJy0nj8/PnznOycmPA5DCSWk0kIDB0HfXQNMRjTuJnaQ6YrYJVKmif6qlhraJGvoJ3PoRhL5JtpC8IMUZ1b1sylodwVdoSa78Q3MZwfJgUyL774Is6dO4eZM2dSsm8DvscU2ZxM9na3oI25vRva7pTZNm4LR3Yw64KmLWB9UFGLmK3n1fumYs2hRT6Cdr7zbvjON9MVhBkS4Oki6FwaobPUNY+OkbCZFMjs378fBw8exJAhQ7jeH1Gz5jCQvd4taKPrOBijcS8Mm16eIC8Z5o1oZ9JrNaYtYP1eKqyhRT6Cdr5rJvF5o6EvCNNFFTj1bt0Cj35+VFSJ00JhqWueGJPb7Y1JgUxYWJjeJbXtmTWGgehuobmmxyE9rxxrj2aw/vvGvTBsGsGlT3Th7RgLcWiR66DdEjksfN1oGJNDBWgGTuduPRBVBVWhsOQ1L+lGIR0jgTMpkPnyyy/x7rvv4ocffkBERATHuyR+lhxTpLsF3Rofh8TMQtaBjLaEXWsnXQtxnJrLAMtSNZP4CAqNDa4anzN7ku/y8hq2zJLXvAMpOXjvt8usthXyMVINweWWVKGooha+HjIEeVn/hogrJgUyM2fORGVlJdq2bQs3N7dmyb5FRdxMYSSGiW1NDGvpF+mLIC8XvQXtAOVFUNcQgxB7RqyNqwDLkjWTuA4K2QZX84a3w+B2/hrnjBCKXoqNpa55xuY9CfUY6UtCt5X0A5MCma+++oqTF1+xYgV27dqFa9euwdXVFYMGDcLKlSvRsWNHAMqAaMmSJTh06BCys7PRsmVLTJ48GcuXL4e3tzcn+yB21l7GQCxiU3NRXS/Xu00LNyeseKqr3i81JV3zQ2wFuBpjG4QtHNWh2f5bs+iltc5Tc1/XEtc8Y/OegrxkgixMaigYy7GR9AOTZy1xIT4+HjExMejbty/q6+vxwQcfYPTo0UhNTYW7uzvu3buHe/fu4YsvvkBUVBRu3bqFN954A/fu3cPOnTs52Qexs5U7Oj4vqoa+zO7ODnhtaBvMG9Gek65oSro2jbWH70xlThBmrQDOWucpF69riWuesXlP1fUKxKbmCuocNSYYE3v6gYRhGJNLS+bn52tdNLJbt24mPV9BQQECAgIQHx+PoUOHat3m119/xcyZM1FRUQFHR8NxWGlpKby9vVFSUmKTCcpyBYMhK+MM3tGdXDxCsCcpnxdV1eej76IU5CVDwnuPcRLEaAuYVM8q9rseSxFrj5Y55zHf3wFtU/p1XfhfGRyBkVFBnH/uXH0/LHHN25N8F/O3J7PeXojf8cTMQkxfn8R6+22zBwgu/YBt+21Sj8y5c+fw4osv4urVq2gaB0kkEsjl+rvwdSkpKQEA+Prq7qJTvSFdQUxNTQ1qamrUP5eWlpq0L0LX+OI0rW84vjp8XXRd8gD/sw/Y3FnlltaYPZ5OSdfcEWJiMxvm5FDxlX+lLUCSSvTXV/op4SZ+SrjJaQ8Nl98PS/RiGdubI8TvuLFDa2JOPzApkHn55ZfRoUMH/PTTT5wVxFMoFFiwYAEGDx6M6Ohordvcv38fy5cvx2uvvabzeVasWIFly5aZvT9Cpu3i5OOmTLgurqxT/07oXfKWaPzZfjkTMgrMakAo6ZoA5gVhXAdwum4S2C7vxOVUZq6/H3wPQ5pSIVxo33FjgzGhpx/oY1Igc+PGDfz2229o1878AmAqMTExSElJwcmTJ7U+XlpaigkTJiAqKgpLly7V+Tzvv/8+Fi1apPF3YWFhnO2ntem6OJVU1oEBsHBke0T4u4uiS94SjT/bL+fao5nq/5tyJ0pJ10RITCnS1xSXvQx8fD/4nEVoToVwoXzHVcGYoR5pay11wiWTVr9+7LHHcPHiRc52Yt68edi3bx+OHj2KVq1aNXu8rKwMY8eOhaenJ3bv3t1sundjMpkMXl5eGv+4xsfqvGxf11APxvYzt/F4txAMbOsn6CAGsEzjb8rK0qo7UW0rYetiK0nXRNxU16bVsWkmV7VujKtVwfn6fqh6sSb1COX8mqdr9WdDhPIdVwVjbD4RIacfsGFSj8yGDRvw4osvIiUlBdHR0c0CiyeeeILV8zAMgzfffBO7d+/GsWPHEBkZ2Wyb0tJSjBkzBjKZDHv37oWLi3VPEmvOSrG14QtTLm7GJoKacmel7U7U0OtacxotIYBpi1ayZW4vg1i/H417fXJLqrB8/1U8qKgVzXswtFyLrcyoNCmQSUxMREJCAv76669mjxmT7BsTE4OtW7diz5498PT0RG5uLgDA29sbrq6uKC0txejRo1FZWYnNmzejtLRUnbzbsmVLODg4mLL7JtM1rJNTUo03Np/Hd8/1xPhuIayey5SZGbY2fGHsxc3UINKUtZcaB4UlVbUGX1fMdVBsiVhnPJnL1EUr2TK1l8EWJiU0zl1ydXYQ3Xe8aTBmi5V9TZp+HRERgccffxwffvghAgMDTX9xHUnCGzduxKxZs3Ds2DEMHz5c6zZZWVmslkfgavo1m2m8UgmwdnovjO/Gz1RLttPphDiNThfVBRjQfmFQJRpyMXWz8UWV7dpLLw+OwMaEm6xfl+rIWI+9fvZsrk3aSCWGE3/NmcrMdlKC2I6RvZ5n1sC2/TYpkPH09ERycjLatm1r1k5aAleBjDFz8n/Q06ia0yDbQs0YbQxdGAxdqE1532yPp6+7M4oqao16XXvtFbAme67hY2y9ENVn8u1zPdHCXYbY1Fz8nHBTZy/D9zN7GZ1Uq+94GJqUwMX3h+/vIH3HLYPXOjJPPfUUjh49KopAhivGDNfoyvI3d7qxrQ5fGJp9wEduEJthrRbuTjqDGH2vK9Y6KGJl7zV8zFm0EgAGtvVDv0hfnVOZATS7kdDXA8F2UoK2Gw8uejss0WNiz99xIQZxJgUyHTp0wPvvv4+TJ0+ia9euzZJ933rrLU52TkiMGSPW1ahy0SCLtYy7IfouDIdTc1k9hzEXdDZB4ZM9QvFTwk1OX5dwz9zvVdMLc+/WLXDu1gNBXaj1MWfRShVdNxOxqblGF6w09XhwURyT7wKb9k6ow2omz1ry8PBAfHw84uPjNR6TSCQ2GciwnZOvoq1x4ypZ155WYT6QksMqmACMT0g0FBR6uzqzem2hTLe0V+Z8r3RVvm2cOyKEC7U+5ixa2VjTmwlTe7pMOR5c9KrZe88c34QcJJoUyGRlZXG9H4KnuoN/oyEx1RBtjRuXtRTsoWtTdWEyxJxpj/qCQrmCEeWUUXtj6veKbeVbS1+ouSwxYM6Qs6k9K6YcDy56q22tPIWQCD1INKkgnr0aGx2M757rCX3HSQLlHZy2xs1QcTZ9f2uP2K5Ay8C83CBdRbUcpBJ8OCFKZxADM1+XcMOU75UxlW9V2yz7I5X34pcHUnIwZGUcpq9PwvztyZi+PglDVsYZLM6oq3hbkLeLyQGYqT1dphwPLnqrba08hZAYEyRaA+tA5tNPP0VVVRWrbU+dOoX9+/ebvFNCNr5bCNZO76X1MUONm+rOqfG2bP/WHrG94Lw8OIKXO+UDKTlYvl97j5A5DQThlinfK7ZBsoolLtSqHqKm+8W20vTY6GCcXDwC22YPwJppPbBt9gCcXDzC5HPU1J4uU44HF73Vtlpd21qV5BsTepDIOpBJTU1FeHg45s6di7/++gsFBQXqx+rr63Hp0iV89913GDRoEKZOnQpPT09edlgIxncLxg8zeyHYhLsfPu6crMESXy62F5xRUUGcv7auRkXlwwmdRXOsTCGEi6cxjP1emXrB5etCbajrHmDXI8RlyX5zepCNPR5c9FazWY7Ex9UJCoYR/PmsYmoPHdeEHiQaVUfm4sWLWLt2LXbu3InS0lI4ODhAJpOhsrISANCzZ0+8+uqrmDVrltWXElDhqo6MNuZMQ7PkFDauX8vczHW2+2Otujl81K0RE6HOTGCD7bllbO0VFT6KTcoVDDYlZGH5/qtWeX192Bas1MWYa4+5r6XvOZpqWqdKiBMnLF0bSd/nYK1rMa8F8RQKBS5duoRbt26hqqoK/v7+6NGjB/z9/c3aaT7wGciIAdeNkrlfLmP3h4uLm7FssYIyW/ZSWM7Qhbkpvi7Uxq6PtGZaD0zqEcrZ67NhycCWrzoyTamO4GtDI7H3Yo7ggnZL30yx+dytcS3mNZARE3sOZLhulMz9cpm6P5buIdiTfBfztycb3M4ajQqf7K0niu3dO18XalPWR7JW8Cy2HmS5gkFSZiFitp5HcVWd4T9oRAhBuyVvpoy5Llv6WsxrZV8ifHxMlzNneqM5+2PpujlCHw/mi71NX9VVR6hpHRk+ik0aM2sKsP5Uf0uWe+DitRykEkilEqODGEAY04ktlVxr7HVZqDXMKJCxUXw0SuZ8uczdH0teSB9U1OhdUM/URkWoY/EqQp+ZwAdtF2ZLVPY1ZtYUzWg0jTnnqbWDdkvdTJlyXRZiDTMKZGwUH42SOV8uvhpJPhKZY7ZeMHinbGyjIoYEWnvtidJ2Yeb7Qm3MeS725UeshYvz1FpBO9tqzeb20NnKzQsFMjaKj0aJ7TIND7QstMjH/nAdHLDp7pdKgLXTjRs7F3Jp78YsdfEk7M/zDyd0xqzBkdQTYwJD5zMb1graLbVAsK3cvFBlXxvFRxVhZaXbzga3W76/eb0LrvfH3OJh2rDp7lcwQAt3Z9bPyVV9EEuggo2Ww/b7QEGM6fSdz4YIocq6JWqOsam9I5VovzkVEtY9Mk899RTrJ921a5dJO0O4w1dE38JdZnAbbWPLXO4PX+t+8NHNKrYEWrGuri70/KOmLHXHbe90nc/6COnz5zu5tvF5qIuCAWK2nsf3UmH0HGvDOpDx9vbmcz/sFp8XYD4aJXMae672x9jggO1nzEc3qxjHoIU6MwHQ/n2JTc0VfP6RNmINGsVGdT6vjcvA6sPXDW6v+vxHRQUhMbPQ6t8BvpNrx0YH49vnemLetgs6JzgAwl45nHUgs3HjRj73wy5ZIgGU60bJ3Maei/0xJjgw5jPmI0dErGPQQpyZoO1Y+rg5obiy+RRboeUf6SLkoNHWbD+TrfdxH1cnfDujFwa08UNsam6zmkpiCI5N1cJdpjeIEVrPcVOUI2MFFTX1eGdHMt7gOMejKdV6Ofsu3QMAPN4txKrrr6iYux4M20b/5v1Ko/Jo+MgRsdUVzy29FpOunChtQQwgvPwjfbhcH6kpsa2ZxRc2+W/FVXWQSiSITc3lPP9O6MTYc9wY6x6Znj17QiJh9wU7f173eBsBVsVex87zd7U+xlUxJr56e4Qwts+m5yTQS4Ztp7ONzqPhurvflM8r+XYxtp3KxrwR7RDm62bU61mCpaeSG1s8TkXod5F8s/aU/7zSani7OsHFyYH31zKEbQOcW1KFzw6mcZ5/J3Ri7TlWYR3ITJ48mcfdsH0pd0vQqoUrvFycsPuC9iBGxdwLMF/TfYsqauEuc1A39kv3XkFuaY36cUuN7etLUFNdWqb3C8fqw+k6n0PfZ8x1d7+h4Gh4pwBsSsjCmOggBHu7Ym1cOg5fzcfJjPvY8cZAhPq4mvS6fLDGVHJjisdp07QRYxgGK/66hoz8coyKCsT4rsHwdnUydzcFxZzjxEXeXsrdEkz6NgGTeoRg1ZQeqK6TI+5aPh7rHACZo+UDG7YNcFFFraiS87ki9tILrAOZJUuW8LkfNu3crSI8/X0iOgV54uNJ0ShiOZXNlG48Pmb07Lt0DxtOZCH5djG6h/lgx+sDIJVIUCdn8FTPUAxp54cHlXXw9ZDB29UZcgXD+93K2OhgLJ/cBf/6/YrG71XBQU29gtXz6PqMuc4R0VdB9t2dl7An+R6Sbxfjq2k9kZ5fDgC4W1yF59YnYU/MYPi4Kad8W3N2Dl+zxQwxtzu7aSMWf70APx6/AQCIu5aP749l4tg7wyC14Odo6jGskyvg5KA/I8Cc48RVL05Cxn3IFQxir+RBrmCwNi4Da49m4PVH2+D9cYZLOHCNbUPt62F4ViYg3CEWUwmhp90cVBCPIw8qavGgshZtWno0e2xvsjJH5VpuGd759SLr5zSlG8+c6b5fH0nHodRc/PxiXwR4KV/7ak4p5m29oN7m4u1ivP/bZcSm5qGsph67LtxV/1/FUt3XuSXK3iAHiQRyhkH7AA/8Nf8RODpI8dPJLFbPYcmu0sbB0YGUHDz6+VGNY7XvUg4e6xyA20WVDfsmw63CSmz6+yYWjOyAT/anYsfZOyhptH6MJYcKrDWV3NRjpO0uUqFg8NmBNADAoLZ+uJBdjOyiSly6W4IeYT4c7K1+5gQKq2KvY/3xG/jh+d54tENLnduZepy47G27llsGACirqUd6fhmOXc8HoLwWLh7TyWJBowrbhtrblV2NKCENsVzPK0N8WgEm9QhRX7dVjAmaxTyLzqRkX7lcji+++AL9+vVDUFAQfH19Nf7Zk5p6Ob47loEhK+MwavVxXL5TovE4wzA4lJqn/jm7oZHy0dOVbU4CKNs7hYSMAo3Ev/8l3sSq2OtIuVuK3xrl7/xy5jYA4JH2/vjs6W4AgF0X7qKsph4+bsr30DiIASyTFFcnV+CXs8p9W/JEFJwdpUjPL8f57GLU1MvxQ3ym3r+3ZpKtrsTVegWDN7clQ8EAni6O+GdD8cHNSdn4Ji4d609kaQQxgGUTEK2VEMimaFdTuu4i/7h0D6k5pfCUOWLtc70wrKMyIDiWls/dDuug67jnsDyG+y7dQ1WdHG/vSEZuSTU+2X8V7/yajL8bej9UTDlOphRuTLlbgrVx6VgXn4lTNwo1/kYVyADA0WsFuHKvVP1eL9wuZrV/XGNTYK5fpC+CvHT3yggxOf+tbRfwyZ9X8ejnx7A2Lh0MozxGB1JyMGRlHKavT8L87cmYvj4JQ1bG6T3PxkYH4+TiEdg2ewBWT+mODyd0xrtjO6l72oXKpEBm2bJlWLVqFaZOnYqSkhIsWrQITz31FKRSKZYuXcrxLgrX3eIqPPN9Ij47kIaKWjnkCgZ7L2rmv6TcLUVOSTVcnRzQqoUy18FD5ojlk7tofU5zu/HY3imsPZqpPqmPXy/A0r0Ph2iONlzUa+rl+D1Z+X5eGRKJKX3DMK1vGADA29UJzjq6uPmYMVJTL8d//76JQ1dyAQD/l3gLBWU18PdwxrS+4Xi6VysAwOrY69h3MQcFZTXqvAchVanNLqzEoh0XDSautm3pgfFdgxHoJcP98hqsOqS9/oUlZ+dYKyGQzWwyD5lm3oW26qcMw+DrI8q8qdeGtoGvuzOGdwwAABxNKzBp39jOCjKUsMxA/zEsr6lH1v0KAMD98loMXHEE60/cwM5zd/HchlMaDZQpx8mYXhwAqK6TY9bG0/ji0HWs+Osapv6YhN0X7gBQ3mRkNgyPAsDPCVlgGr2t/ZesN+uncUO9ZloPbJs9ACcXj0CEvztOpt+Hg1SCWYMitP6tMdcNS80WyywoVweNVXVyfHHoOuKvF5hV+dxBKkFJVS0+O5iG5fuvYuEv7IIgazJpaGnLli1Yv349JkyYgKVLl2L69Olo27YtunXrhqSkJLz11ltc76fgnLpRiLlbzqOwohYt3JwwpksQtp+5jdjUPHwwvrN6htehVGXDO6xjS0zqEYI5W87j6V6hmNg9FNdyyvDtMc2eA3O78YxZXyS3pBpvbD4Pb1cnKBhgRKcAxF3Lx7lbD1BSWYfj6QUorqxDiLcLHmmvvHNdMrELQnxc0cLNGR/uSdH53FwMM8gVDLLuVyAjvwxfHLqOjIaL47joIBxsCGjmDGsHZ0cp5o1oh9/O3UHijUJcz1N+sV8b2gZtW7oLpqu0pLIOj689icpaucFtvVwc4eQgxfMDWuOLQ9f1HktLJSDytSo4G7q6vf08nHG/vBa1cgafPtUVrs4OOrvQz2cXI7OgAq5ODnhpSCQA4NGGHplLd4pxv7wG/h4yFJbXYOWBa3hhYASiQ3UXAjVmmIhNwrK+Y3g1pxQMA7g6OaCqTq51+OeNzefxjzEd8Maj7YxO3DS2F2dP8l3cL6+Fv4czOgd74UT6fby78xKCvV3h5+6MWvnDHLWCMuUQcKiPK+4WV+GvlBz8a0Jniw8vqTTNf0u+XYyp6xJRK1fg6NvD4O2mfXiJ7XWD7XlRU6+8+XV2kMLRQN6TLn82BIWPdmiJYG8XbD9zG7+evYPz2Q9MzmUTy9pwjZn06eXm5qJr164AAA8PD5SUKIdTHn/8cezfv5+7vRMohmHwdVw6Citq0SXEC3+8OQT/ejwKzg5S3CysVDe4AHDoinJYaXSXQIyNDsap9x/Dh48r7y7nDm8HJwflifTPCZ0xsVswfN2d0SfC9IbAmPVFVCdqSVUdIv3d8d2MXmgX4AG5gsGJjAL1sNIzvVupT3hXZwe89Vh7eLmyi4FNHWYoqarDk98lYOSqeLyx+Twy8svVPSx/peRCwQBT+4Th5cERAJQXyZkDWgMACitqIXOUYnq/cPUd2PoX+qjfw/9e7sf5F1F1B1Yn151kHHs1D6VV2uueNOXV8F6n9wuHI8sLPp8JiKpVwQ3dWPLZy6XtbvofYzoCAGrrFdhwMgujogJ11mL57byyx2BcdBA8ZMrzN9DLBV1CvMAwwPHryl6ZH0/cwI6zd9S9N9oYe8dr7rCcashawWg/AKrffn7wOo6m5RtdD8mYXhyGYdQ5aK8NbYP/vtQPE7oGo07OIGbLeVxs2Ne2Ld01/nb+yPbwkDkqA7abRaxej293HlTi1f+eRU29AgwDnL31AFdzStWPT+4RqtFzwyaIYXNebD2Vjc4fHkDURwfRc3ksMvLLtD2dWnZhJaq03AD9maK8oZvQNRgz+iuvf4dSc43qXWtMTGvDNWZSINOqVSvk5CgPSNu2bXHo0CEAwJkzZyCTscv6FjOJRII103ripcER2PnGILRq4QYPmaM6yl9zJB2JmYW4kP0AaXllcJBKMKJjIAAgwMtFHX27yxzRu3ULAMDtokrsu5yDK/dKsTnplln7p2ssWJ+ZA1rDxckBIzopu9pX/HkNJzPuQyoBnu0T1mx7PocZquvkmP2/s7h0pwQyRyk6BXnixYGtEf+PYfh+Ri94uzphTJdA/PvJaI3aRjHD28LdWTnE8GTPUPg2LO7oIJVgVFQgHmnvDwA40PDl59IP8ZmYvj4Ja+MyAAAZ+WX4v6RbGoGNMd2yHQI9AQB+HjLMGdaW1d/wlYAoVzBYsveK3l4hCZSfedMejLM3i7B07xUcvZav7mavrVeY3O3etHjcjYIK9WMZ+eV4a9sFlFU/DBbvPKjED/GZuPOgEvsuKpPun+7dSuM5mw4vnUy/r34+bUy52Ls5sQv8AzxdUF5Tj68OX0fK3Yf5din3lP9nMxtvzuZzaOHmbNSCg8YUbjyRfh/X88rh5uyAqX3DIZVK8OWU7gj1cUVhRS2+PZqhfs4OgQ8nPwzr0BJjo4MAAPO2XtD5+XJFoWCg0HNunc9+gKnrknC//GEJiYu3i5F672Egc+dBJSb1CIW/h7PemxTAuPNi+5ls9U1BWXU94q49zNFS5biobo7e33UJQz8/inlbH5abkCsY7Dp/B1dzSuEgkeCxzgGIDvVCh0AP1MnZfZ+0Bc3GDjEKhUlDS08++SSOHDmC/v37480338TMmTPx008/ITs7GwsXLuR6HwXJ30OGJRMf5rkcSMnBhewHAJSzT/ZdylH3tjzRPQTebtqTex9p3xJJN4rwv8SHwcu209mIGd7O4DRLfVTTfVfHXsfahguL/vejbPSHdWyJH4/fwN3iKgDAO2M6ai3KxmfdgaV7r+B0VhE8ZY745fWBiArxUj82rmswRnfR3iXq5yHDsknR2N7w+TU1vmswjqUVYM/Fe5g7vB2nPQeq2kB/XLyHhaM64K1tyUjNKUVheQ0WjOyA8pp6HG9oIP09nFFYXqs3MBjbJUj9/wUjO2DnuTs6LzDGfNYllXVQMIzGCt5yBYNfztzGkHb+CPdrfqz/vJyDvEb1grRhoEwCzyurxpZXBwAA7hVX4YWfT6OyVo5Nf99Ub9t0eMqcmVeqqeqPdwvGwSu5OHw1H49/cxLrnu+Nti098Mqms0jLK8Pq2OuoqVcg2NsFA9poDt0M7xSAtUczcPRaPm4XVaoTU28WVqCmXt6s7omxs4IeVNRixV9XDb6XIC8Z+ka0wFvbL+DPy7nYciobBxcMha+7s0ZQY0idnMHi3y4h7u1hrOshsZ3VIwHwTZyyp2pKnzB1L6mLkwOm9Q3Dl7HX1bk8HRuC8et55WjT0h0BXi7414TOSL1XitScUjy3Pgl75w0x6oaLrdySaoz56jiGdmiJb6b3bPb4n5dz8Na2C6hXMGjt54aZ/Vvjkz+v4sLtB7h5v1K93cU7xfi/pFv48PcUjIoKxPoX+uh8TbbnRdy1fPXxnNY3DNvP3Fbnubyy6QxuFVVi9pBIfHUkXeP5jlzLx9ZTt+Dr7qxRw0vOMHj8m5NYMjEKT/dqhRV/XWP1GWm78RFrhV+TWspPP/0UH3zwAQBg6tSpOHHiBObMmYOdO3fi008/5XQHxUDVnVharTl7RxUZ949sofNvh7bXnEbp5uyAvNIaHLmap+MvHjKUUOYglWBwO39W70F1Uvdp7QvPhm73p3u1wpxHtfcGGBrCYgD8a0JnVsHCjYJy/Ov3y7hbXIWCshrsPKccAvhuZi+NIKbxa+vyTO9W2DlnkNbga0yXIHjKHJGRX46d526juk6OXefvqKc7myqzoFx9d3njfgX+upyD1Ibu6e+OZeJGQTnWxWeitqEhXTZRe6K3ilQCRDbqlm/8WTdlTAJinVyBCd+cwNg1x1HRaKbZb+fu4IPdl/Herkta/251rOGF9lRUi+zJFQxmbTytNR+o6U2yOTOvVJ/7jP6tseN1ZfHAW4WVeP6n01j51zWkNeRLqXoynuwZ2uxz6hXug9Z+biivqccHuy9r7KeqUW7s78z7rPZt2+lsbE66hZf/ewY3tDxPU68MicT2M7fx52Vlj2FBWQ3e33UJVbVyo3ovXJ0ccLOwEqeyioxa/kBXT66vu7O6F2fbmWycufkArk4OePWRSI3tnu0TpvH8HYO8ML6rMjid1D0UAODj5ozNr/ZHh0AP5JfVYFVsGuv3ZYz46/koqarDHxfv4VpuabPH1xxOR72CwdguQdj35hB1T1HK3VKU19TD2UGKQC8Z6uSMeiJEbGoe4q7pvi6zbdyTbtyHggHatHTHsIbewLTcMuSVVuPItXxk5Jdj8a7LWoOiD3an4I3N5zUKkQIPv0M+rk5gc3+ma+aVWCv8sg5kevXqhQcPlD0OH3/8MSorH178BwwYgEWLFmHixInc76HAsSmfvuZIhs7u8y4hXmjR0FszqK0fXmzImN+cpH2BM4ZR1gXYm3yX1dS6fpG+8HPXXRuh6XRCZ0cpPn+2O+YNb4f/PBWtd1kKXRc+N2cHdAj0wEd7rmh02+ry7dFMbE7Kxnu/XcLOc3dQr2DQM9xHnWDMFW9XJ8wf2R4A8PnBNMzYcAqLdlzE2K+OY0+y/mrLADS6qctr6vHFwTT8nXFfnXis0jgJurZegbFfHcc3DUNOOSXV+PefV/Ha0EgEN/ncVBegCH/3Zr1xY6ODseLJ6Gb7pGuoQJtrOWW486AKeaU1OJH+sDE+0nBxPp1VhPImU+kLy2u0NubatAvwgIIB/rqciw0nbuB6HrvGt3G3e8rdEtTqGD759mgGXvvfWZQ2DB1V18lx+0Gl+rV7hrfA/reGoFOQJwrKarChIY9j2RNd8OqQSAxo46t1RopEIsGUhuHTxp8L0Hx4SaFgsDHhJqv3tffiPfzr9xRcyC6Gl4sjvFy0d4A7OyqPdVpeOT7elwpAmRvl5CDBwSt5ePe3S1Awyp68IC+Z3ty3YG8XPNEjBACw4+xtyBUMDqTk4vX/O4sRXx7DlXu6e3bkCgZJN4rw6iNtsPXV/ujScBOhYBh0beWDnJIqrPhTebf/jzEd0aqF5s1CkLeLemgaADoFeeKR9i2R/NEovDniYQ+pr7szPm0o5bDz3B2k5+nPDzFF8u2H7/O/f2sO1d95UIm0vDJIJcCnT3eFp4sTWrVw1bhOtg/0wKC2yptAuYJR56l9/Ecqauq1J+uzbdxvFyl7uwe39UenIGWvVXp+Oc7desDy3TWn+g59dSQdrz7SxuD2um58xLo2HOtA5urVq6ioUF7Qli1bhvJyfsc3xcKY2QjaSKXKi6jMUYq3R3fAc/3CIZEAJzPuI1fL8+69eA9T1iXire3JOhPK/rp8D29tu4Cp6xJRXSdHay3DBYDuu/mx0UF4Z0xHVqXEGydgzuwfDkD5xb+eV47CilrEphruWVJ1s55Iv4/vGobBpvcLN/h3pnhhYATatHTH/fJanLv1ABIJUFErx/ztyVprzzAMg0/2p6L38li0++efePr7v3G/vAb/3H0Za49mYNbGM9jSEHSqLvz3y5WVm5/orgwuapuMWeeWVOPH41n4cEJnjcRVVe9ZWy1FFQFgSt9w9XDlkolRrBMQVZLvFKv/f7ihx69OrsDfGcoaIPUKBkmZhTh0JRePfn4UZ24W4WTGfTAAHKUSgxe3qQ3BwJZTt7DKiF4c4GG3++PfnMSczefUeQIq+y/l4PODaTiUmodvG4LCzIJyMIxyBWzV0KiPmzM2vdQPIQ1BYo8wHzzXLxyPdQ7E9H7hyCyo0HpT0TihHQDCfJWlEtKbBGNXc0ubBXvaSACMigrEyM6BGNDGF5te7qdORgeADoEe6uP++lBlw7Pz3B3U1iswsnMg/vNkNN4ZrUxk/qMhtyc61BtLn+iifn5tr7lkYpT6u/Pn5Ry8+t8zeGPzORy8kocbBRXq3k5t/s68j01/38Tyfan4Ji5DPcT2oLIOs34+jYnfnER5TT16hfuob7iaeq7hGtCqhat6+NLHzbnZDKVe4S0wOioQCkZ5U8G1S43O9d0X7qCk0eKiRxvyUXq3bqGumC2RSNC9UUHEzsFeGNDmYWP986y+aOkpw83CSmw4ob3YJtsgQJXXNbidH8J93eDq5IDaeoXBpWsMUX2HHm3fUp0P6KBlZ1r7uem8ZvCxcK4lsA5kevTogZdeegnLli0DwzD44osv8PHHH2v9Z0+4GFN8b1wnXFo6Gr1b+yLM1w2dgpQNYvLt4oYenyvYdlrZWP51WXeiqury/K/fr2DvxXs4lVWE93ZdVs8iUF3sVYy5m9dH1X09q2EGUeOExCNX9Rcaq66TI6PgYWNRVlMPT5kjHu/Gz/Q+Z0cplk7sAgepBK1auOLggqGY15BP8/nBNJy79QD//fsmYracx+2iSuy9eA/rT2ShsKIWCgY4d+sBxq05gT0N1Zpr5QrcLa6CRAKseKqr+nU8ZI46g1fVcVq+/yr6Rfqqu/1VlWWjQ7RP+XWQStTrLnUO9jJ6peTk7GL1/+Ou5UOuYJB8u1ijoOGx6/n45M+ruFVYic8Ppql7KIZ3UvaO6bu4Pd4QuF3PK2e9RIQ2R67laxRlzC6sxHu/PRz22phwE7eLHs4ObNfSQ6PnMMjbBZtf7Y/nB7TG071CMfTzowZ7LgO9XDC8YSq2zFGqDsqa9sgk3WCX5PjOmA5Y/0IfbHixD7a/NhC9wlvgxUER6kD0md6t1MddlfAPAH1at8A305UL9L42tA3+82RXyBp6bLq38tHZCxrc6LvcvZU3OgZ6oqZegaNpBZA5StUNW+NE1qZOZjzsjUpsKHA3a1AEfNyckJ5fjvvltWjj745VU3roPO+GdWiJ1VO7Y+1zvQx+Ru+O7QipBDiUmocf4jObBa+61NYrcKNA9410dZ0caQ05J8HeLqiuU2Dk6nh0/vAANiVkqRNrR3QK1Pi77q181P/vHOyFsV2UBfL+MaYjhnZoiffHdQIArI3LQE5JVbPXZRMELHisPTIKyiGRAAPa+EEqlaBDQ69M44Rfc9yvqME303uijb87Gt9DvdpQcuDugypU1uoOxnWdYwFeMgxq5wdZk0VAEzMLsfCXZBSy6H3nC+tk302bNmHJkiXYt28fJBIJ/vrrLzg6Nv9ziUSCjz76iNOdFDIuxhQlEolG70e3UG9czSlFyt0SeMgcsTHhJpwclDNvjqfrL9zFQDn9WEV1N9cv0hfbZg/gdZ2eSH8PuDs7oKJWjhZuTnhQWYeEjPsoqazD4t8uIdjHRSNBGlBWAJUrGHi5OIKBMoP/iR4hcHPmb/WMoR1a4tg7w9DSUwYXJwe8PboDshuClmk/Jqpzmy7eKUZ1nbJBnjusLcZ0CcKr/zurrosxb3g7HL6ah2u5ZegR5oNurXzQNdQbl++WoFe4jzq5VxtttV9eG9oG7QI8MLJzoM6/C/N1w83CStx5UIXreWVo6SFDC3dnnEgvwL9+T8GiUR0wqUeoevt6uQI19Qq4yxyRfPth13VRRS0uZD9AfMNMHf+Geiw7ztxR1wA5nVWkbvheHBiJp3u1MliTp29EC5y5+UC9bISpPv7jCh5p749ALxd8vO8Kyhp6AlydHZCQUYhPD1xDG39lHlH7wOY9WG1aemBwOz+j6mHMGhSJI9fyMSoqEF0aZl81D2QeVrAN9JShsKIW9U16eCL83DB3WPNk80AvFywY2QGxqXl4qtfDmVN9I3wR4ecGfw8ZfprVF64NM+8kEgme6x+OvhEtcCAlV92jY2hRU4lEgun9wrD0j1T4ujtj/Qt94OrkgBPpJ5CaUwqGYbQOGSc0BDLDO7bEsesF6B/piw8fj8KYLkH48lAaxnQJwouDItRDYdpIJBI82bOVzscbaxfgiTdHtMeaI+n49K9reFBZy2odpk/2p+K/ibfw/rhOeF1LDt+Ve6WoVzDw93DGolEd8I+dl9Tf2X/vvwppw3tvPAwGAN3DHt5ARAV7wdvNCTteH6j+3ZM9Q7HlVDbO3XqAFX9ew9cNScT1cgWq6uTwdHEyWOZflTMWHeKt7g3qFOiJiw03rVwI8HSBj5sztr02ANPXJ+FGQQVcnKR4Z0xH7L+cg5ySanz61zVkF1ViwcgOGktzrDqUhuQ7Jfh6Wg/8NmcQJnx9Am7OjljxVFccS8vHzwk3cebmA+x4fSB6hPmguk6Of+6+jBv3K9DCzRkf6cjl4xvr1qJjx47Yvn07AEAqleLIkSMICAgw8Fe2j4/ZO9GtvPHL2du4dLcEqutNnZzBij+vsSqmpqJqVAHlnRXXCyE25SCVYEh7fxxKzcOXU7rjg10pyC2txuz/O6vunRjVORCDGiUgq8bsu4f5YFrfcGxOusV6urE5GicDSyQS/PvJaJy79QB3i6vg4iSFr5sz7jxQ3nW1bemO+SPbQ+bogG2z+yNmywVEhXhh0agOmN4/HF/FXse0fso7+AUj2+ObuAwMbuevN5BRadxT5+nipBGEaKOqDr3z3G28u/MifNyc8Z8no/Huzksora7H10fS8UT3EHVD9db2C4i7lo+fZ/VFZkOX9iPt/XEi/T5ir+YhMVPZMM8b3g7/3n9VHcQ4O0pRW69AeU09XJyk6BPRAi5ODgZnwTw/MAJnbj7AW4+1x/Yz2awKMzb2WKcA3C+vwcU7JVhzJB3vjumIYw3B1sqnu6FewWD81yew/1KOevioXYBns+cxZeHEIe39cWTRowjydlEv7Hrjfjlq6uXIKa5GuK+bRi9bXlmN+m8j/d3VuUSLRnfUmVsWM7xdsxl17jJHxL09DBIJtP5d+0BPtA/UfI+GvsszB7SGh4sTBrb1Q6iPK2rrFXB2kKKsuh53HlQ1S4Z/UFGrHkpa+XQ3SCQStHBzUr/OzjmDdL6WORaO6gAPmSM++fMq1sXfwOioII0eKkA5vHs+uxhdQrwgc5Sqa6esPHANnYO9MLRh3akjV/NQW69AbqnyO9W9lQ+e6d0KPm7OkDlK8cuZ29h/OQcAg1AfV42p4artVbkwnYObn1MSiQTLnuiCiWtPKof4+4Shb2QLPL/hNC7eKcahhUPR2s9dZ6BZJ1dg/JoTAKBeGgMAOgY9fC0PmSM8ZMoJH6aENY3zVwK9XPDLawPxr98vo1+kH1ycHNAnwhd/XLynniV75V4p9r81BAGeLigsr8G3xzIhVzD45+8pqJcr8KCyDg8q63Dkah62N9QVq61X4LX/ncXONwZh5/k7uHG/Ai09Zer8Q2sw6bZXoTC929jW8LFqaLeGu8HLd4pR3ShwURX0YqNVC1dseqkvnlibAC9XJ4yO0n2Xz6VVU3ogv6wGkf7uGNE5H1tPZWtc/L84lIZfIn3xd2YherTyUV88u4R4Y0K3YEzgaUjJEC8XJ/z35b7YcfYOpvYNg4uTA6auS0ReaTU+ebKrusesXYAnDi4cqv67UB9XfP5sd/XPj3UOxGOdA9UBgiHGZv+rEixVQxxFFbV4Y/PD+hKZBRW4cq8U0aHeSMwsVM+AWbA9GYAy92Nq3zCcSL+Pn09mqXufxncNxp+Xc3H6pnKmy8qnu2LhLxcBAP0bLoKA4Qb0ie4heKSdP67llqGkqhY/J9xs9r3Q5/mBrSFzdMD09UnYm3wPHQM9Ua9g0CnoYWP+2iNtsO74DdxruONtF9C8R8bUhRNVi766ODqoq+g+8U0C0vLK8ET3EJRU1cHd2QE+bs64W1wFecOd//JJ0Zj50ymEeLtgXHSQjlfVjesqt44OUjzTqF6Os6MU7QM9cOVeKa7cK1EHMvHXC5BXUg13mSMYRpm703ThQXMZWrhw9tA2SM8vw46zd/BDfGazKc5bT2fjn7tTMHNAOJ4fEKHuXVEwwJvbLmD33EHILanGq/87C4YBwhveW7dWPpBIlD3ZANAj3AcX7xTjzoMqDO/UslnQ2MLdGeue792Qd6V9gkR0qDee6xeOLaeyMXfLOQxp768u7nfoSh5mN+Q7KRgGv52/g2BvF0zoGgwHqQSrYzNw434FAjxlGgm5nRoFMj3CfDBzQLjW9oSNaX3DNT7blp4yrHv+4ef5WKcA/HHxHnzcnODp4ojbRVV4a9sFbH6lPw6l5ql7hZouI/HfhsCne5gPqmrrcT2vHCO+PKZ+fNkTXdRT8a3B5P779PR0HD16FPn5+c0CG3saWgK4XzW0U7AnnBwkeFBZh7O3mo/Je7s6oqRKf8Lhy4Mj4echw7F/DINUIrFYcpa7zBGRDdO3R3QMwNZTytyeXuE+SM0pxfnsYgz7/BjuFlehV7iPulu+i5Zp1pbWLsATH4x/2LV9eNGjKKyoVeelGIOvOjuN76TdnR3QKdgL5249gJ+7M9oHeiDpRhH2XryHLiFe+Pzgw3oS+Q0X/x5hLTCsYwDCfF3Vsyd6hfsgwMsFI6MCcPpmESZ2C8bkHqH4/lgmrueVq+942dBWnl0iAfSNMqmGIUN9XPFI+5aQSpTDMzcLK/HZAeV7UE3jBZS1jU7fLMKFhpyf9loCGXNz16RSCdoFeODy3RL1FO69DcO0fSJ84eXqpK611K2VD4a098eGF/ogsmXzGWdC0SXEC1fulSL1XinGRgejtLoOr/1PWdXW30NZyJRtuQa22Jbrf21oW/x67g5iU/OQkV+m0cummsG5+/xdBDUEWQPa+KK6ToHk28WYueEUFMzDc0y1MG+3RkNFgPJmZeOsvtj0903MG6699+AxPcO6Kh8+HoVruWU4d+uB+kYBUOYYqQKZ49cL1InVF7KLER3qjQ0nbgAAPp6k2eg37pHpGe6jsz1hI8Jf+8QOlUk9QhDu54a2/h4oKK/BpLUnkXSjCBtOZqmHFlXfPUBZZPTcrQfqG6d3x3REuK8b3t15SZ1H9VinAJOCdy6ZFMisX78ec+bMgb+/P4KCgjQiW3vLkVExNG5tDJmjAzoEeuLKvdKGaZcydAzyQELD7JLFYzvhg9261zkCoJ6Cac2L6uB2/vBxc0JVrRyfP9sdO87exrr4h8X2zjdKPtW3po21uDg5mBTEAPz01AEPh5YA5Z3s60PbYue52xjUzh8Z+eXKQCb5HjoEeuJ8djFcnKQY0q6lepZSjzAfeMgccfTtYbjzoArZRZXqIPKlwZEI9XFT361+Pb0n9l/KwYz+7GaQ6VqjRTX0/8rgCIyMCoJCwWDGT6fg7CDFuud7IzY1D1tPZ+OxzgHq70//Nn64WViJioYeycaBjJODFF9P64mnvv8bPq5OzaaxA9zkrrVvCGScHaR4tGNL9Qy8AW384OQgUeefdWulPHdHWqjX01RRwcrjrOoFPXA5V52UrSqTMLgtd4GMMWv2tAvwwOioQBy8kocf4m/gi4ZeztR7peolAypq5fi+YW26xzoF4qleoZiyLlE9ZNrG3x1+Hs44c1OZC9Y4eVelfaAnPnmya7PfG8PFyQEbXuiDp3/4GzcKKjChazD2X87B6awi5RCeo1RjtubJjPvqROoJ3YKb3dj6ecgQ4ClDflkNeoYr97lpe3K/rAbL9xsuqmjovJdIJOgVrhy683ZzwpInuuDdnZew5nC6elh5w4t9sTr2Oipr6/HmiPa4XVSJp7//G/0ifTGorR8kEgm2vTYAl+4UI+lGIab2CddbpsMSTApk/v3vf+OTTz7B4sWLud4fUeMyB6VbK2/1Bad/pC9GdApAQkYh2gd44Ln+reHr7ox/7LyEskZF+HzcnFBcWYeOQZ5IzytHQsZ9XpJ62XJ1dsCemMGQKxi0aemBuY+2w42CCgR7u8BBKlHX4/CQOaK1lgJ2Ysd1Tx2gbFy9XBzhIXPEq4+0gauzA54fGAFAGeR4uTgit7Qa7/yqHBaaNSgSM/qH41haPuoVjDqxz9FBigh/d0T4Pyy85+Qg1Rja6xTkpZ5BZ4ihekoSKNeF+WBCFKQSZfd/dlElqurkSGgoMNd47L6xDoEezYaPwnzdEP+PYXBykGq9iHLRI/ZM71ZIzSnFgpEdMCoqEG9uO4/4tAKMjQ7SqI+krcEUIlUCs6pY456Lyplh3cN8cPF2MWSOUvRvY1wPoS6m5Ci98WhbHLySh98v3MWiUR0Q4uOKXQ3D6U4OEtTJGXVgO7idP/w8ZNj8an/1MgNfTeuBQC8XPLc+Ce0CPNRLlPChhbsz9sQMRmpDYnH89QKU19Tj3K0H6B/pi8MNszU/GN8JB6/kIcBThse7hWBMl+bBrlzBYGb/1ki+UwyZgwPkCgYOUolGeyJXMNhwMovzHt5nerXCjjO3cbahhk1UsBfaBXjg2xkPZ521D/TEmX+NhJNU87vWrZVygoMQmBTIPHjwAM8++yzX+0IaUfZQKJOr+kX6YnLPUJRV16kXlBwbHYye4S0waEUc5Ixy5d/Ld0uw5VQ2bhdVYvr6JPVzmVMCvilD491NtfZ72FB6uzmpx7/LquuwN/keCitq0TnY02or4fKNy546QJkQfHjRo3BykKoXPlSROTpgYvcQbDmVDWcHKab3C8OCke3h4uSAr6b1wK3CSvRquOPjmrE5KeOig7Du+A2sP3EDtxq6sR9Ual9Qs3EOQWP6ZrZx0SM2qJ0/Dix4mA/17XO9UK9g4OQgRZCXC9ycHVAvZzTqjwhZ54YemZySalzLLcXfDXlca6f3REZ+OVydHeDpwk2egyk5Sj3DW2BAG18k3SjCTyez8P64Tvi9oczB4rGd8O+GHgl/D2f1ORHs7Yojbz+K8up6dd2aw4setUgPQULG/WY3KbP/dwZzh7XF/fIaeMocMWtQJF4bqnvyQtOht7hr+Vqv13z18EqlEiyfHI3HvzkJuYLRmaPIpqaYNZkUyDz77LM4dOgQ3njjDa73hzToFuqj/n//NsqGb9ZgzZLggV4uGN0lEH+l5OLsrQc40TA1u+nMJq6WX2c73s2Gp4sT3h3bEYt/u4zhncQ7+41NYMf1bDF9yZj/nNAZvVu3wKC2/hp1IB7vFsLZ62tjbE7K2IZA5kKj4UVdTmcVqe9SjcF1j5hEIlHXgXF1dsDmV/ujrl7B650/lzxkjur8h7e2XQDDKIvChfm6aV3Swxym5ijNGdYOSTdOY9vpbEigHPLydXfGCwMjcKDhOjeorb/GjY+Tg1Rj7TBLBDG6hs3Ka+T47KCyGOSwTgF6p6obM/QG8NPDCygD3A/Gd8aBlBx1hWuxMSmQadeuHT788EMkJSWha9eucHLSjOLfeustTnbOHqkaxpySKkT4uaGFmzM6aJleqvLa0Db4KyUXuy/c1VmHQFdXrjHYfOmM7XmY2jccwzsFwN9dnCumcxnYccXN2VGjRomlGJuT0r2VD4K9XVglM+aW1jSbXcQW1z1ijalyDYSAbU/pyM6B2HAyS718xKQe/AS4puYoDW3vj6hgL6TmlKqXmJg3vB2cHZV1UP69PxWvDInU9lQWw2ZZGkCZBKvvOZbuNW7oDdB9PgMP1zkz5Rx/ZUik1T9Xc5gUyPz444/w8PBAfHw84uPjNR6TSCQUyJhIW8NYU6/AodRcnQ1jz/AWGNaxpbrWhi66ppuywWa8+71dl7F0b6q6hgPArlEX2uJjbBl7N2XrjM1JkUolGNMlSGNVbH3MWW2X7/pJ1mZMQP3PCZ0xorNyNmFlrRxP9tRft8hUpuYoSSQSvDGsLd7adgESCfDxE13UOWAD2vhh35uP8LK/xmCzLA0AeOpYWwsA1sala1wrm9J3vW56PgvxhsrSTJrSkpWVpfPfjRs3uN5Hu6BqGHWtn6RvZeD5j7EvRGRKg8BmvLu4sq7ZF9OcVY2FzFBgByjvpriq1CkGpqzRYkzNILEGvHwz9rohkUgwqK0/1j7XCz/P6stZTkxT5qzZM7FbMD5/pht+eW2gOogRErbXUF1rch1IycHqw+mcvJY57YYtEWbBAztjTMMoVzBIzCzEnuS7SMwshFzBoGd4C/Rnma1uSoNg6t2wrTbqxiQy2hNda7ToWtOrb4QvPn+mG3zdnUW32q4QCD2gNvZ8UJFIJHi2T5hgj7k5U/tVx4yL17L08dfW9ggF66GlRYsWYfny5XB3d8eiRYv0brtq1Sqzd8yesG0Y18ZlYPuZbK1diJte6odHPz+KgjLtpa1NnZ4HmHc3bM6QllBxsVCorTI2J+XZPmHwdHHkfDaGPTC1erEl8ZmjZC3mTO1nOywFGA7gLXn8hT58xTqQuXDhAurq6tT/18XahXHEiG2Dt/rw9Wa/a5yT8fGkLrw0CIa+uGzYUqPORbE1W2ZsTgpfszFsnVgCalvLUTJnKrQxx8LQ9dpSx18M+YCsA5mjR49q/T8xn7k9HqoM95OLR/DSIOj74rJlS406X8sP2LOmd+7+7jJAopx+m5hZKPq7eD5QQG09pgbfbI/FwpEdDF6vLXH8TSlsaA0mr7VEuGNuj0fjLkS+unJ1fnG9ZKiuV6Ckss5uGnW+ilPZO9Wd+4GUHLyz86Jgu7GFQogBtbEFMy2J630z5VrL5lof5CXDvBHtdDzK/rm4OP5iGL4EzAhkzp49ix07diA7Oxu1tbUaj+3atcvsHbMnhhpGtsGNqguRr65cXV/c2NRcu2vUaTiEH2LoxhYKYwNqvoMMIedRaNu3IC8ZpvcLR4S/u8mfh7HXWjbHbOkTXVjthyVuqMQyfClhGH3r0mq3fft2vPDCCxgzZgwOHTqE0aNH4/r168jLy8OTTz6JjRs38rGvJiktLYW3tzdKSkrg5WX9FZb10XUhmNY3jNV0vW2zB5gcwJh7kRPyRYxPQr4DtQZzPg+5gsGQlXE67wBVd5gnF4+w68+4KTbfPa6/n02P84OKWsRsbR6Aqo6SNQNQXcFxU5a8XnF5PPi89iZmFmosd6OLOW2PPmzbb5MCmW7duuH1119HTEwMPD09cfHiRURGRuL1119HcHAwli1bZtbOc0lMgQygvSEAgCEr4wx2IZp6gdf2RfBxdcJLgyMwb0R7oxoiatTtl7kXVGtfNMVM33dPV0NuapCh7ThLJQ9XOW/KmgGooeC4MUsHXVxeL/m69qo+P77aHkN4DWTc3d1x5coVREREwM/PD8eOHUPXrl1x9epVjBgxAjk5winCI7ZARhfVxQjQ3oVo6pfP0N2Km7MDXh/axqiAhtgfLhrLPcl3MX97ssHXWjOtByb14Kcira3hupeLbe+GNtYIQNkGxyp8N8xivNnjq+1hg237bVJBvBYtWqCsrAwAEBoaipSUFABAcXExKisrTXlKYoCpxaX0YbNmSGWtHKsPp6P3v2MFVSVSyMWZ7A1XhbloFg73uCzeyHaNIV3MyaMw9ftu7GvyWczyQEoOhqyMw/T1SZi/PRnT1ydhyMo4QV1XteGj7eGaScm+Q4cORWxsLLp27Ypnn30W8+fPR1xcHGJjY/HYY49xvY+kAdcLhhlTnKm4sk4wyZb2mo8jVFzNbBDiLByx4zJZ05jrhTamBqDmfN9NfU2uk1fFnsQu9MKGJgUya9euRXW18kD/85//hJOTE/7++288/fTT+Ne//sXpDhJNXC4YZsrdCtc1A4ztahX7BcEWcdVYGqpXxAAYH628mArpIipkXPZymdq4mxOAmvt9N7W0BZe9fmKpxWKIkAsbmhTI+Po+PCGlUinee+899c9VVVXm7xVhxdwvuSlfVi5rBhgbhLEZwvhg92WM6BQIZ0daRsxSuGwsdU1rVyWT/pRwEz8l3KQeOJa47OUy5XphzjRgLgIAY4t58tHrJ5ZaLGLG2dW+pqYGq1atQmRkJFdPSfTgIi9BdZEzFhfdrqas2sqma7uoog4DVhwR/LizLVGdR1wt/Dg2OhgnF4/AttkD8PLgCADNZ8TY2+q+uhjKHTFnFeqmDB1nQBlwNmZOHgVX+T26cjya4qPulVzBICHjPqttrV2LRcyM6pGpqanB0qVLERsbC2dnZ7z77ruYPHkyNm7ciH/+859wcHDAwoUL+dpX0ggXUb7qIvdGQ0Y6W+Z2u5p6p8X2i15UUUvDTBzTNwTIR2EuB6kE/SJ9sWhHstbHLdUlL+RZJmx7NLkq3sjmOK+d3hMt3GWcfF5c5vc0zfG4eb8S205nI7eUv2KW2o6PPtZKYhfyOc6WUYHMRx99hHXr1mHkyJH4+++/8eyzz+Kll15CUlISVq1ahWeffRYODg6sn2/FihXYtWsXrl27BldXVwwaNAgrV65Ex44d1dv8+OOP2Lp1K86fP4+ysjI8ePAAPj4+xuy21TQ9QXq3boFztx4I6ks+NjoYP8zshfd2XUZxZZ3ebbnqdjU1CDP2iy7UcWexXTjYNJh8VDq2dpe8kJPKjR1W5ipZ05IVrbmexdY0x2PeiHa8fQ+NmaZuzSR2IZ/jxjAqkPn111/xv//9D0888QRSUlLQrVs31NfX4+LFiyateh0fH4+YmBj07dsX9fX1+OCDDzB69GikpqbC3d0dAFBZWYmxY8di7NixeP/9941+DWthUzTKnBOG67yEUVFBWBuXgXXHM1FZK2+2DZfdrqYGYcYk7gl13FlsFw5jGkyuZzZYszy6kJPKTe3R5CpZ01IzWPiexcZX8qox09StuYyLkM9xYxmVI3Pnzh307t0bABAdHQ2ZTIaFCxeaFMQAwIEDBzBr1ix06dIF3bt3x6ZNm5CdnY1z586pt1mwYAHee+89DBgwwKTXsAZd+R9cjvNznZfgIJVg/sj2uLx0DBaO7AAfVyeNx7msGWBqENZ4vJ8tIY07m5IXZE2m5GGpGodJPUIxsK2fWRdnc4N1U2uPcFUXhy9c1oYxFZfHWd9rcJXfY0nGTFO3Vi0WoZ/jxjKqR0Yul8PZ2fnhHzs6wsPDg7OdKSkpAaA5K8pYNTU1qKmpUf9cWlpq9n4Zw5ho3Jxxfr4WDFMFNHx2u/aL9IWPm5POoSx9d1qqru0Pdl9GUYX+oTBAOMXTxDgF09pDO+bckZvT82Xt922IWBby44IYF2dl+7mPiw7E2ud6W+X7LvRz3FhGBTIMw2DWrFmQyWQAgOrqarzxxhvqYSAVU1a/VigUWLBgAQYPHozo6Gij/15lxYoVVl3rydiiUeacMHx+yfmsGRCbmqs3H4eB/iBsbHQwRnQKxIAVR1BUUat1G0uPOxvKexHjhcPaDaapwbq5XebWft+G2FsFZKEXY2uK7ef+V0oeYlNzrRKMCf0cN5ZRgcyLL76o8fPMmTM525GYmBikpKTg5MmTZj3P+++/j0WLFql/Li0tRVhYmLm7x5qpB97UvxPbl1zVM6GPj5sTRkUFqbfX9t6cHaX4z5PRetcAsVS3M5u7fzFeOCzVYOoLAo0N1rno+RJ6oGCPFZCFXIytKdXxMXRDa81eWKGf48YyKpDZuHEjLzsxb9487Nu3D8ePH0erVq3Mei6ZTKbuMbIGUw+8OSeMmL7kbHqsiivrcDqrCCVVtXoDBCF0O7O9+xfjhcMSDSbbGVFsg3Uuer6EHijwNaxsaWKbvccW27IWfPbCGvpshX6OG8ukyr5cYRgGb775Jnbv3o1jx47ZRDE9Y0tii+2EMRfbHofY1FxsTLhpMECwZo+UMXf/Yrxw8N1gGjMExDZY56LnS4iBQtOGaVRUkNWDeHOIbfaescZGB+OVwRH4KeGmwW35WNfJ0GcrxHPcHFat4x4TE4PNmzdj69at8PT0RG5uLnJzczWWOcjNzUVycjIyMjIAAJcvX0ZycjKKivjLyDeHvkz7psR4wpiLbY/D78n3WGfUW2IGhTbG3P2LdQYGXyvf8jVrgqueLy7et6FZU2xnVelaNRmAugLymmk9sG32AJxcPELwgYDYZu+ZamTD8LghXPbCGvPZimFVa7YkDMNYbX6VrmnbGzduxKxZswAAS5cu1Zq823gbfUpLS+Ht7Y2SkhJ4eXmZs7tG4buOjFjJFQyGrIzT2zPRwt2J1YykbbMHWHVIbU/yXczfnmxwuzXTemBSj1AA4r0T5XoYIDGzENPXJxnczthjzOb8CvJ2wcnFI1jtv6nv29BxZnse6Oq1Uu2B2Boc1fHRdQNg7PFh83rWGr7i+lxk+3rGfrZCHuJj235bfWjJkKVLl2Lp0qX87wzHtA15cFnZV6zYdGk+2SPUKl2yxjLl7l9sydkqXOdh8ZX8zHWXuSnv29CQ2WtDI/Hj8SyDQ2pinLJviCVn71n7psHSwzemfrZiyrHUhZYI5lHTIQ9nR6lVhkCExlCXpjW6ZE1halFCPobCTC3+Zi18Jj9bs8vcUPDBAFh/onkQo3oceDikJoTCd1xjG5gmZBSYdQ4LZfjKkueiGGdGcsWqPTLEfunrmZArGFEkxgolYc7ad56m4Dv52dI9X6rAIyGjwOCsPH3tc+PgxBYbJraB6dqjmfjt/F2TzmGh9WRZ6lwU48xIrlCPDLEaXT0TYkqMtXbCnFDuPI1liWNsqSTwxsm4a49mcvKcqgaPDTE1TIZ6MRsz9RwWYk+WJc5FrpetERMKZDggtm59MbB2gGCMsdHBVpk9Ivb1UsR0jHXRFUiaS3XXbmsNkzGzOk09h22xJ4sNB6kEH06I0tnDCQjnBpBrNLRkJjF264uFmBJjrZEwJ8ZlD5oS0zFuyph11dhqPKQmlKFLrukqZKmNKeewLfZksXEgJQfL92uvmi6W+kKmokDGDLa0DLpQ2UJGPR/kCgYJGfdZbSv0O09rHWNzp50au66aIdqCEyFUr+aDKoBdHXsda49mGNzemHNYjMUnzaWrLVL5cEJn0Z4rbFAgYyKhJZQR+6GtF1AfW7vz5AIXPalcB4i6ghMx91rp4yCVwMmB3Xtgew6rgtNx0UH4OeGmTfVk6WKoZ1ACYPn+qxgTHWwz77kpCmRMZAvd+kR8DN15NWaLd55c4KonlcsA8cMJnTFrcKTOhsYWeyYPpORg9eF0vdsYcw5rC04lEqBxuTKx92RpY2xbxGUBPKEU06NAxkT2mlBGrMeYnAxbvPPkApc9qcauq6aNqqHWF8TYItVxYIPNOawrOFXlCL8yOAIjG9Y8s7XP2Zi2iMucTiHlh9KsJRPZa0IZsR5jcjLENPPHkricmmvMDBxt7DnYZHsuLxjZweA5zGZo5c+UXJsMYgD2bczN+5VaZ9jllFTjjc3n8eele6xfU2hlHyiQMZEtTo0kwsb2zmve8LYa07+pPMBDXPek6ppCzoY9B5tsP98IfzeD2wixbowlsWmLgrxk2HY6W2/P4bxtF/DnJcMBiBDLPtDQkolsdWokES62d16D27VUn3dsun+FMs5tCXz0pDZOxo1NzdWZZMoAWDiyPSL83W3+czaEy+NgK8P8pn4P2bRF0/uFG8xHUjDA3K3n8YNUf3AtxPxQCmTMwOXUyKYnMS0wSZoydlopm6RWAIIZ57YEvqbmqpJxB7b1Q79IX5ubLs01Lo+DLQzzm5tvYqgtqqlXsN4XQzliQgwcKZAxExdTI7WdxFKJ5postty4EHaM6QVkk9T63q7LKKms460OkhB7eizRk2qr06W5xOVxEHvdGK5m0ek77xIzC1nvj6HeFCEGjhKGYWx6wLy0tBTe3t4oKSmBl5eXtXenGbbTaVVfZ3sdUycPsbl7S8wsxPT1SSa/hurif3LxCJMaYCHNaNBG6PtnL7g6DqrrKKA9KBLqdVOuYDBkZZzOoRpzv4dsX6epNdN6YFKPUL3PZShwNHefAfbtNwUyVmTsycXlCULEzVBvx57ku5i/Pdns19k2e4DR49y6gnOhNSpC7DGyR1wdB76DUz7OF7Y3HKZ8D5s6kJKDNxqCPXNfz1KBI9v2m4aWrMjYEudUZI+oGCqQxlW3rrHj3GKqeG2LRebEiKvjwOeQHl9BkiXzTcZGB+O753pi3rYL0DWhiO0wnNCWzqBAxopMPTmFnn1PrI+LYm2A8QER2xkNmxKy7K4IHDGOKT0gfASnfK6pZ+l8k/HdQrAWEszd2rxnxtjcJCHlglEgY0WmnpxCzr4nwmAomZIB4OPmpDXZV7WNKQmSbIPs5fuvYsPJLMpJIVoJJYeJ7x5GayQqj+8WjB+k3PSmCKVXkwriWZGhQkbaSCXAg4pa3vaJCIs5xex0FWsL8nbBDzN74dOnugJoXpXWnNk7xgTZ1qoCSoRNSFVj+S62p686NJ/1yMZGB+Pk4hHYNnsA1kzrgW2zB2gU0RQbSva1Ml1JU/pIIJyEScIfru5K9XXRc33na2hGQ1OUwC5uXCfAWmoWD1tsk+ZXT+mOIG9XTktw0Cw6mrWkJvRABtB+EutDF3/bZ8mZP1w0Ro2f4+b9Snx1+DoA9sE5F7MyiGXx0fhachYPl/vj6+6MokY95VzfcNgrmrUkIk2Tpu6X1WD5/qs6t6fZS7bN0jN/zB3n1tag+bg5AQCKK+tYPQclsIsLXwmwQqsayzZpvqjJcL8pn4NQ8k3EiHJkBEJ1Ek/qEQp/Txmrv6GLv20S0iJ4hnJ0dOUzlFTWobiyDs/00l5UqylKYBcPPhcNFFrVWFNXOLfW4on2inpkBEhoX2ZiWUK5KzU0dMCm5+hkxn0Eebkgr1Sc5eNJc3wuGijE5QZ01UzxdXdCUYXuHkfqObccCmQESIhfZmI5Qghk2QwdeLs6G2zQcktrsHBkB3x1+DqtEm9BfOZb8BloW2ItLFNoq5mSW1qNhb8kG/xb6jnnHwUyAmTJLzMlmAmPtQNZtjk6747txOr5IvzdTK4CSuen8fieAcN3oC20qrEqTXNY2C7ESD3n/KNARqAs8WWmKX/CZO27UrZDB0XlNayeL8DTBQPb+hldBZTOT+PxWYVWxRKBtpCqxupi7RsO8hBNvxY4vu5IxbKwnz2zVkNuTO2Mzw6m8bIKLp2fxrNkDRaxrjbNNfoc+EXTr20EH1PyxLSwnz2z1l0p267wIG9XXnqO6Pw0DZ9JuE0JdfjH0uhzEAYKZOyQJS94xDzWqC1hTJe5g1TC+YXcWucnm95PIefsWHq2mxiGfyyBPgfro0DGDgllei9fhNzYiIGxOTpcX8i5OD+NPQfYDOMJPWfHGrPdqIibEn0O1kWBjB0SwvRevgi9sRELY7vMubyQm3t+GnsOsEmQBcB7Eq25KPmU2CtK9rVDhhb242stJ757SihBlHvW6N0y5/w09hxgkyAb6CUDIEFuqTAWMtSHkk+JLaFkX6KTNab38t1TQgmihpkSlFijy9zU89OUc4BNPk5uqf5p5nzmlBl7zPhIPqWhWiJ0FMjYKUtm21uitgUlMOsntiE3U85PU84BLvPAuM4pM/WYcZmzJLbzhtgnCmTsmCWy7S3VU2LrCczmsEQgyQdjz09TzgEu88C4fC5zjxkXPWliPW+I/aFAxs7xPXRgqZ4SW05gNofYh9yMOT9NOQfYJMiqcmQstfClEI6ZEPah8b7Q0BbRR2rtHSC2zVI9JaoGSdflTQJll7i9zdgwJpAUO1POAVU+jurxptsDwNInumDpE/q34TKnTAjHTAj7ACh7hYasjMP09UmYvz0Z09cnYcjKOBxIyeH1dYm4UCBjAXIFg8TMQuxJvovEzELIFTY9UUyDpXpK2DRI9rjKsj0NuZl6DqjycYK8Nc/BIG8X9fAJm224IoRjJoR9UA1tNQ2oVENbFMwQFRpa4pm9J8tZsrYFlQtvztaH3JoOO4yKCjLpHGCTj2OpCq5COGbW3gchDW0R4aNAhkeULGf5qd5ULlyTLRdJ03eTcHLxCF6mmltiOjrfx4xNzom1zxuahUiMQUNLPDF0RwEo7yjsYZjJkt3ywMPGZlKPUAxs62e3QQxgu0NuhoYdYlNzRXsO8HnM2OacWPu8EcLQFhEPCmR4IpRkOaEYGx2Mk4tHYNvsAVgzrQe2zR6Ak4tH2HyPlBBYOpDkmz3cJPBxzIzNObHmeWPtoS0iLjS0xBO6o2iOFlazHlsacrOXYQcuj5mpOSfWOm+sPbRFxIUCGZ7QHQXVfxAaWwkk7ekmgatjZk7wJ7RlKtDw87S+YRbdJyJcFMjwxN7vKOx9thbhD90kGE+MwZ+uWYgqqw+nY/uZ23RNIZQjwxdrJ8tZ05+XcvAG1X8gPKHih8YTa/Cnyq1bOLKD1sfpmkIACmR4ZWtJlmz8eeke5m07r/UxW0nEJNZlzzcJphJ78Lf9TLbW39M1hQA0tMQ7W0qyNORASg7mbr2gdxtbScQk1kXFD41j6XpOXLKX5G5iOgpkLMBWkiz1Uc2KYEtIY/FEnOzpJoELYg3+xJjfQyyLAhnCCUN3TU0JbSyeiJM93CRwSYzBn1jze4jlUCBDOGHM3ZCQx+IJsXViC/7sfQYoMYySfQknjLkbEupYPCFEeCi5mxhCgQzhhKFZEQAglQDfPWebs7XESK5gkJhZiD3Jd5GYWUizPohg2eMMUMKehGEYm756lZaWwtvbGyUlJfDy8rL27tg01VouQPNKnADw3XM9Mb5biGV3imhFBQuJGFG1cPvCtv2mQIZwihpI4VMFnE2/+KrmgO5wCSFCwLb9pmRfwikxzoqwJ6YuHkgIIUJFgQzhnNhmRdgTKi5GCLE1Vk32XbFiBfr27QtPT08EBARg8uTJSEtL09imuroaMTEx8PPzg4eHB55++mnk5eVZaY8JETcqLkYIsTVWDWTi4+MRExODpKQkxMbGoq6uDqNHj0ZFRYV6m4ULF+KPP/7Ar7/+ivj4eNy7dw9PPfWUFfeaEPGi4mKEEFsjqGTfgoICBAQEID4+HkOHDkVJSQlatmyJrVu34plnngEAXLt2DZ07d0ZiYiIGDBhg8Dkp2ZeQh+QKBkNWxhksLnZy8QjKkSGEWBXb9ltQdWRKSkoAAL6+ygqN586dQ11dHUaOHKneplOnTggPD0diYqLW56ipqUFpaanGP0KIEhUXI4TYGsEEMgqFAgsWLMDgwYMRHR0NAMjNzYWzszN8fHw0tg0MDERubq7W51mxYgW8vb3V/8LCwvjedUJEhYqLEUJsiWBmLcXExCAlJQUnT54063nef/99LFq0SP1zaWkpBTOENEHT5AkhtkIQgcy8efOwb98+HD9+HK1atVL/PigoCLW1tSguLtbolcnLy0NQUJDW55LJZJDJZHzvMiGiR9PkCSG2wKpDSwzDYN68edi9ezfi4uIQGRmp8Xjv3r3h5OSEI0eOqH+XlpaG7OxsDBw40NK7SwghhBCBsWqPTExMDLZu3Yo9e/bA09NTnffi7e0NV1dXeHt745VXXsGiRYvg6+sLLy8vvPnmmxg4cCCrGUuEEEIIsW1WnX4tkWgfj9+4cSNmzZoFQFkQ7+2338a2bdtQU1ODMWPG4LvvvtM5tNQUTb8mhBDj0QKNxNpo0cgGFMgQNuiiTchDtPgrEQJaNJIQluiiTchDulZHzy2pxpzN52mKPhEcwdSRIcQaVBftpgspqi7aB1JyrLRnxJrkCgaJmYXYk3wXiZmFkCtsuuNazdDq6IBydXR7+TyIOFCPDLFbhi7aEigv2qOigmiYyY7Ycw8drY5OxIh6ZIjdMuaiTeyDvffQ0eroRIwokCF2iy7apDEaVqHV0Yk4USBD7BZdtElj1EMH9Iv0RbC3S7MFRVUkUA6z9Yv0teRuEaIXBTLEbtFFmzRGPXS0OjoRJwpkiN2iizZpjHrolGh1dCI2NGuJ2AxTitqpLtpNZ6kE2cksFfKQqocut6Raa56MBMrzwh566Gh1dCImVNmX2ARzp8xSZV8CPJy1BEAjmFGdCdQjQYjl0BIFDSiQsX26KpFS40NMYc91ZAgRElqigNgFKmpHuEbDKoSICwUyRNSoEqnxaBjNMAephM4XQkSCAhkiajRl1jg0bEKIONENiG4UyBBRoymz7NGqxoSIE92A6Ed1ZIioUVE7dqj8PiHiZO/rf7FBgQwRNSpqxw6V3ydEfOgGhB0KZIjoUSVSwyiXiBDxoRsQdihHhtgEmjKrn63lElHiI7EHdAPCDgUyxGbQlFndbKn8PiU+EnthazcgfKGhJULsgK3kElHiI7EnNJmBHQpkCLETYs8losRHYm9s5QaEbzS0RIgdEXMuEVVxJvZIdQPSdDg1iIZT1SiQIcTOiDWXiBIfib0S8w2IJVAgQwgRBUp8JPZMrDcglkCBDCFEFGxp5hUbNMWcEHYokCGEiIIq8XHO5vOQABrBjK0lPtIUc0LYo1lLhBDREPvMKzZoijkhxqEeGUKIqNhy4qOhKeYSKKeYj4oKson3SwgXKJAhhIiOrSY+0hRzQoxHQ0uEECIQNMWcEONRIEMIIQJBU8wJMR4FMoQQIhC0tg4hxqNAhhBCBILW1iHEeBTIEEKIgNjDFHNCuESzlgghRGBseYo5IVyjQIYQQgTIVqeYE8I1GloihBBCiGhRIEMIIYQQ0aJAhhBCCCGiRTkyhBBCiIXIFQwlcXOMAhlCCCHEAg6k5GDZH6ka62kFe7tgycQomlZvBhpaIoQQQnh2ICUHczafb7YoaG5JNeZsPo8DKTlW2jPxo0CGEEII4ZFcwWDZH6lgtDym+t2yP1IhV2jbghhCgQwhhBDCo9NZRc16YhpjAOSUVON0VpHldsqGUCBDCCGE8Ci/THcQY8p2RBMFMoQQQgiPAjxdDG9kxHZEEwUyhBBCCI/6Rfoi2Nul2YrmKhIoZy/1i/S15G7ZDApkCCGEEB45SCVYMjEKAJoFM6qfl0yMonoyJqJAhhBCCOHZ2OhgfD+zF4K8NYePgrxd8P3MXlRHxgxUEI8QQgixgLHRwRgVFUSVfTlGgQwhhBBiIQ5SCQa29bP2btgUGloihBBCiGhRIEMIIYQQ0aJAhhBCCCGiRYEMIYQQQkSLAhlCCCGEiBYFMoQQQggRLQpkCCGEECJaFMgQQgghRLQokCGEEEKIaNl8ZV+GYQAApaWlVt4TQgghhLClardV7bguNh/IlJWVAQDCwsKsvCeEEEIIMVZZWRm8vb11Pi5hDIU6IqdQKHDv3j14enpCIuFuYa7S0lKEhYXh9u3b8PLy4ux5hcTW36Otvz/A9t8jvT/xs/X3SO/PdAzDoKysDCEhIZBKdWfC2HyPjFQqRatWrXh7fi8vL5s8ORuz9fdo6+8PsP33SO9P/Gz9PdL7M42+nhgVSvYlhBBCiGhRIEMIIYQQ0aJAxkQymQxLliyBTCaz9q7wxtbfo62/P8D23yO9P/Gz9fdI749/Np/sSwghhBDbRT0yhBBCCBEtCmQIIYQQIloUyBBCCCFEtCiQIYQQQohoUSCjx7fffouIiAi4uLigf//+OH36tN7tf/31V3Tq1AkuLi7o2rUr/vzzTwvtqfFWrFiBvn37wtPTEwEBAZg8eTLS0tL0/s2mTZsgkUg0/rm4uFhoj42zdOnSZvvaqVMnvX8jpuMHABEREc3eo0QiQUxMjNbthX78jh8/jokTJyIkJAQSiQS///67xuMMw+Cjjz5CcHAwXF1dMXLkSKSnpxt8XmO/x3zR9/7q6uqwePFidO3aFe7u7ggJCcELL7yAe/fu6X1OU85zPhk6hrNmzWq2v2PHjjX4vGI4hgC0fh8lEgk+//xznc8ppGPIpl2orq5GTEwM/Pz84OHhgaeffhp5eXl6n9fU7y5bFMjo8Msvv2DRokVYsmQJzp8/j+7du2PMmDHIz8/Xuv3ff/+N6dOn45VXXsGFCxcwefJkTJ48GSkpKRbec3bi4+MRExODpKQkxMbGoq6uDqNHj0ZFRYXev/Py8kJOTo76361btyy0x8br0qWLxr6ePHlS57ZiO34AcObMGY33FxsbCwB49tlndf6NkI9fRUUFunfvjm+//Vbr45999hm+/vpr/PDDDzh16hTc3d0xZswYVFdX63xOY7/HfNL3/iorK3H+/Hl8+OGHOH/+PHbt2oW0tDQ88cQTBp/XmPOcb4aOIQCMHTtWY3+3bdum9znFcgwBaLyvnJwc/Pzzz5BIJHj66af1Pq9QjiGbdmHhwoX4448/8OuvvyI+Ph737t3DU089pfd5TfnuGoUhWvXr14+JiYlR/yyXy5mQkBBmxYoVWrefMmUKM2HCBI3f9e/fn3n99dd53U+u5OfnMwCY+Ph4ndts3LiR8fb2ttxOmWHJkiVM9+7dWW8v9uPHMAwzf/58pm3btoxCodD6uJiOHwBm9+7d6p8VCgUTFBTEfP755+rfFRcXMzKZjNm2bZvO5zH2e2wpTd+fNqdPn2YAMLdu3dK5jbHnuSVpe48vvvgiM2nSJKOeR8zHcNKkScyIESP0biPkY9i0XSguLmacnJyYX3/9Vb3N1atXGQBMYmKi1ucw9btrDOqR0aK2thbnzp3DyJEj1b+TSqUYOXIkEhMTtf5NYmKixvYAMGbMGJ3bC01JSQkAwNfXV+925eXlaN26NcLCwjBp0iRcuXLFErtnkvT0dISEhKBNmzaYMWMGsrOzdW4r9uNXW1uLzZs34+WXX9a7OKqYjl9jWVlZyM3N1ThG3t7e6N+/v85jZMr3WEhKSkogkUjg4+OjdztjznMhOHbsGAICAtCxY0fMmTMHhYWFOrcV8zHMy8vD/v378corrxjcVqjHsGm7cO7cOdTV1Wkcj06dOiE8PFzn8TDlu2ssCmS0uH//PuRyOQIDAzV+HxgYiNzcXK1/k5uba9T2QqJQKLBgwQIMHjwY0dHROrfr2LEjfv75Z+zZswebN2+GQqHAoEGDcOfOHQvuLTv9+/fHpk2bcODAAXz//ffIysrCI488grKyMq3bi/n4AcDvv/+O4uJizJo1S+c2Yjp+TamOgzHHyJTvsVBUV1dj8eLFmD59ut6F+Iw9z61t7Nix+N///ocjR45g5cqViI+Px7hx4yCXy7VuL+Zj+N///heenp4Gh12Eegy1tQu5ublwdnZuFlwbahtV27D9G2PZ/OrXxLCYmBikpKQYHJcdOHAgBg4cqP550KBB6Ny5M9atW4fly5fzvZtGGTdunPr/3bp1Q//+/dG6dWvs2LGD1R2S2Pz0008YN24cQkJCdG4jpuNnz+rq6jBlyhQwDIPvv/9e77ZiO8+nTZum/n/Xrl3RrVs3tG3bFseOHcNjjz1mxT3j3s8//4wZM2YYTKgX6jFk2y4IAfXIaOHv7w8HB4dmmdh5eXkICgrS+jdBQUFGbS8U8+bNw759+3D06FG0atXKqL91cnJCz549kZGRwdPeccfHxwcdOnTQua9iPX4AcOvWLRw+fBivvvqqUX8npuOnOg7GHCNTvsfWpgpibt26hdjYWL29MdoYOs+Fpk2bNvD399e5v2I8hgBw4sQJpKWlGf2dBIRxDHW1C0FBQaitrUVxcbHG9obaRtU2bP/GWBTIaOHs7IzevXvjyJEj6t8pFAocOXJE4462sYEDB2psDwCxsbE6t7c2hmEwb9487N69G3FxcYiMjDT6OeRyOS5fvozg4GAe9pBb5eXlyMzM1LmvYjt+jW3cuBEBAQGYMGGCUX8npuMXGRmJoKAgjWNUWlqKU6dO6TxGpnyPrUkVxKSnp+Pw4cPw8/Mz+jkMnedCc+fOHRQWFurcX7EdQ5WffvoJvXv3Rvfu3Y3+W2seQ0PtQu/eveHk5KRxPNLS0pCdna3zeJjy3TVlx4kW27dvZ2QyGbNp0yYmNTWVee211xgfHx8mNzeXYRiGef7555n33ntPvX1CQgLj6OjIfPHFF8zVq1eZJUuWME5OTszly5et9Rb0mjNnDuPt7c0cO3aMycnJUf+rrKxUb9P0PS5btow5ePAgk5mZyZw7d46ZNm0a4+Liwly5csUab0Gvt99+mzl27BiTlZXFJCQkMCNHjmT8/f2Z/Px8hmHEf/xU5HI5Ex4ezixevLjZY2I7fmVlZcyFCxeYCxcuMACYVatWMRcuXFDP2vn0008ZHx8fZs+ePcylS5eYSZMmMZGRkUxVVZX6OUaMGMF888036p8NfY+F8v5qa2uZJ554gmnVqhWTnJys8Z2sqanR+f4MneeWpu89lpWVMe+88w6TmJjIZGVlMYcPH2Z69erFtG/fnqmurlY/h1iPoUpJSQnj5ubGfP/991qfQ8jHkE278MYbbzDh4eFMXFwcc/bsWWbgwIHMwIEDNZ6nY8eOzK5du9Q/s/numoMCGT2++eYbJjw8nHF2dmb69evHJCUlqR979NFHmRdffFFj+x07djAdOnRgnJ2dmS5dujD79++38B6zB0Drv40bN6q3afoeFyxYoP48AgMDmfHjxzPnz5+3/M6zMHXqVCY4OJhxdnZmQkNDmalTpzIZGRnqx8V+/FQOHjzIAGDS0tKaPSa243f06FGt56TqPSgUCubDDz9kAgMDGZlMxjz22GPN3nfr1q2ZJUuWaPxO3/fYkvS9v6ysLJ3fyaNHj6qfo+n7M3SeW5q+91hZWcmMHj2aadmyJePk5MS0bt2amT17drOARKzHUGXdunWMq6srU1xcrPU5hHwM2bQLVVVVzNy5c5kWLVowbm5uzJNPPsnk5OQ0e57Gf8Pmu2sOScOLEkIIIYSIDuXIEEIIIUS0KJAhhBBCiGhRIEMIIYQQ0aJAhhBCCCGiRYEMIYQQQkSLAhlCCCGEiBYFMoQQQggRLQpkCCGEECJaFMgQQgghRLQokCGEWB3DMBg5ciTGjBnT7LHvvvsOPj4+uHPnjhX2jBAidBTIEEKsTiKRYOPGjTh16hTWrVun/n1WVhbeffddfPPNN2jVqhWnr1lXV8fp8xFCrIMCGUKIIISFhWHNmjV45513kJWVBYZh8Morr2D06NHo2bMnxo0bBw8PDwQGBuL555/H/fv31X974MABDBkyBD4+PvDz88Pjjz+OzMxM9eM3b96ERCLBL7/8gkcffRQuLi7YsmWLNd4mIYRjtGgkIURQJk+ejJKSEjz11FNYvnw5rly5gi5duuDVV1/FCy+8gKqqKixevBj19fWIi4sDAPz222+QSCTo1q0bysvL8dFHH+HmzZtITk6GVCrFzZs3ERkZiYiICHz55Zfo2bMnXFxcEBwcbOV3SwgxFwUyhBBByc/PR5cuXVBUVITffvsNKSkpOHHiBA4ePKje5s6dOwgLC0NaWho6dOjQ7Dnu37+Pli1b4vLly4iOjlYHMl999RXmz59vybdDCOEZDS0RQgQlICAAr7/+Ojp37ozJkyfj4sWLOHr0KDw8PNT/OnXqBADq4aP09HRMnz4dbdq0gZeXFyIiIgAA2dnZGs/dp08fi74XQgj/HK29A4QQ0pSjoyMcHZWXp/LyckycOBErV65stp1qaGjixIlo3bo11q9fj5CQECgUCkRHR6O2tlZje3d3d/53nhBiURTIEEIErVevXvjtt98QERGhDm4aKywsRFpaGtavX49HHnkEAHDy5ElL7yYhxEpoaIkQImgxMTEoKirC9OnTcebMGWRmZuLgwYN46aWXIJfL0aJFC/j5+eHHH39ERkYG4uLisGjRImvvNiHEQiiQIYQIWkhICBISEiCXyzF69Gh07doVCxYsgI+PD6RSKaRSKbZv345z584hOjoaCxcuxOeff27t3SaEWAjNWiKEEEKIaFGPDCGEEEJEiwIZQgghhIgWBTKEEEIIES0KZAghhBAiWhTIEEIIIUS0KJAhhBBCiGhRIEMIIYQQ0aJAhhBCCCGiRYEMIYQQQkSLAhlCCCGEiBYFMoQQQggRrf8HbGK4VH8zcdIAAAAASUVORK5CYII=\n" }, "metadata": {} } ] }, { "cell_type": "markdown", "source": [ "It's not a great fit, because our model isn't taking into account this noise. What do we do? We can't find a model that will account for random noise (unless we cant to consider stochastic models...but that's a separate topic). So what do we do? Maybe it doesn't work so well to assume the form of our model f..." ], "metadata": { "id": "BMQiz2jNRnkI" } }, { "cell_type": "markdown", "source": [ "### Turn to non-parametric methods\n", "We won't go too far into non-parametric methods here, but let's try out one kind. Here, we are simply using a curve fitting tool to fit a spline (a function defined by a bunch of polynomials) to our data. Splines are considered one of the most \"flexible\" kinds of curves, in that they can fit to pretty much any dataset." ], "metadata": { "id": "iuq3HyOwRpYa" } }, { "cell_type": "code", "source": [ "spline = CubicSpline(xis, yis)\n", "\n", "plt.figure(14)\n", "plt.plot(xis, spline(xis))\n", "plt.scatter(xis, yis, color='b')\n", "plt.xlabel('Year')\n", "plt.ylabel('Rainfall (mm)')\n", "plt.legend(['Prediction', 'Observations'])\n", "plt.xlim(0, 20)\n", "plt.show()" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 449 }, "id": "rXLWw2apLMK1", "outputId": "49f42c68-9988-4fda-f1b5-57fdf4766187" }, "execution_count": null, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "
" ], "image/png": 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\n" }, "metadata": {} } ] }, { "cell_type": "markdown", "source": [ "As you can see, the spline fits our data perfectly. That's awesome! Can we now use the spline to predict future rainfall?" ], "metadata": { "id": "o7OSLuPQRvMb" } }, { "cell_type": "markdown", "source": [ "### Which Model is Best?\n", "Now that we've presented a few different models to represent our data, we need a way of quantitatively determining which model we should use. But what metric? There are a ton of metrics to compare different models against each other. Here, we will focus on one kind: mean-squared error." ], "metadata": { "id": "iWFV3BCcRxA-" } }, { "cell_type": "code", "source": [ "# Calculate yhat for the spline and linear regression\n", "yhat_spline = spline(xis)\n", "yhat_linreg = b[0] + b[1] * x_temp\n", "\n", "plt.figure(15, figsize=(12, 6))\n", "plt.subplot(1, 2, 1)\n", "plt.plot(xis, yhat_linreg)\n", "plt.scatter(xis, yis, color='b')\n", "plt.xlabel('Year')\n", "plt.ylabel('Rainfall (mm)')\n", "plt.legend(['Prediction', 'Observations'])\n", "plt.xlim(0, 20)\n", "plt.title('Multivariate Linear Regression')\n", "\n", "plt.subplot(1, 2, 2)\n", "plt.plot(xis, yhat_spline)\n", "plt.scatter(xis, yis, color='b')\n", "plt.xlabel('Year')\n", "plt.ylabel('Rainfall (mm)')\n", "plt.legend(['Prediction', 'Observations'])\n", "plt.xlim(0, 20)\n", "plt.title('Spline')\n", "\n", "plt.tight_layout()\n", "plt.show()\n" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 607 }, "id": "XNJ__a_9M_i6", "outputId": "b653a727-c60e-4ad9-e919-9ab24155e076" }, "execution_count": null, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "
" ], "image/png": 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\n" }, "metadata": {} } ] }, { "cell_type": "markdown", "source": [ "We may expect that the spline would fare better if we compare these outputs to observations. And you'd be right!" ], "metadata": { "id": "o3aVGJkgR3pU" } }, { "cell_type": "code", "source": [ "# compare MSE of linear regression to spline fitting\n", "mse_spline = np.sum((yis - yhat_spline)**2) / len(yis)\n", "mse_linreg = np.sum((yis - yhat_linreg)**2) / len(yis)\n", "\n", "print(\"MSE for Spline Fitting:\", mse_spline)\n", "print(\"MSE for Linear Regression:\", mse_linreg)" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "U2fUJV-eNXj3", "outputId": "49c7f3be-3d6f-415a-d871-d6f6a4b243d9" }, "execution_count": null, "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ "MSE for Spline Fitting: 0.0\n", "MSE for Linear Regression: 0.7829599974250436\n" ] } ] }, { "cell_type": "markdown", "source": [ "The MSE of the spline is (at or near) 0 - it's a perfect fit to the data! Does this mean we should use the spline going forward?" ], "metadata": { "id": "wMACDS9xR836" } }, { "cell_type": "markdown", "source": [ "Difference between training data and test data: this example illustrates the fundamental problem of trying to test our model using the same data we trained the model with. We call this MSE the train MSE - it will always favor the model that fits the training data the best, even if it is an overfitted model! It doesn't mean that if the model sees new data, the spline will work the best in that case.\n", "\n", "Therefore, it's always best to use a new set of test data to test your models against. This way, we can avoid using models that are overfitted to our training data" ], "metadata": { "id": "dueDTK-CR_G2" } }, { "cell_type": "code", "source": [ "# Generate the test dataset\n", "y_test = 20 + 0.05432 * x_temp + 0.004546 * x_nino + 0.0354 * x_slp\n", "y_test = y_test + 0.8 * np.random.randn(len(y_test))" ], "metadata": { "id": "fCKzjxGQNiX5" }, "execution_count": null, "outputs": [] }, { "cell_type": "markdown", "source": [ "Now we'll compare the MSE of the spline and the linear regression against the test data." ], "metadata": { "id": "hIWFARr7SF4d" } }, { "cell_type": "code", "source": [ "mse_spline_test = np.sum((y_test - yhat_spline)**2) / len(y_test)\n", "mse_linreg_test = np.sum((y_test - yhat_linreg)**2) / len(y_test)\n", "\n", "print(\"MSE for Spline Fitting (Test Data):\", mse_spline_test)\n", "print(\"MSE for Linear Regression (Test Data):\", mse_linreg_test)" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "2pMGuaktNnte", "outputId": "9bfd9d35-eb7f-4088-b070-ba440ff4a718" }, "execution_count": null, "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ "MSE for Spline Fitting (Test Data): 1.279220562434523\n", "MSE for Linear Regression (Test Data): 0.7295539046599332\n" ] } ] }, { "cell_type": "markdown", "source": [ "Using this new test dataset, the MSE of the linear regression is actually lower than that of the spline! In this case, we'd be better off using the linear regression model than the spline, even though the spline fit the training data so much better!" ], "metadata": { "id": "Uz_SX2LsSLxg" } }, { "cell_type": "markdown", "source": [ "But still, the linear regression doesn't work that well...good thing that there are tons of other models we can choose from! For example, we can use a smoothing spline and it gives us an even better test MSE than the linear regression does!" ], "metadata": { "id": "6xFJWeC1SNTX" } }, { "cell_type": "code", "source": [ "# Fit a smooth spline to the data\n", "spline = UnivariateSpline(xis, yis,k=2)\n", "\n", "# Calculate yhat for the smooth spline\n", "yhat_smoothspline = spline(xis)\n", "\n", "plt.figure(16)\n", "plt.plot(spline(xis))\n", "plt.scatter(xis, yis, color='b')\n", "plt.xlabel('Year')\n", "plt.ylabel('Rainfall (mm)')\n", "plt.legend(['Prediction', 'Observations'])\n", "plt.xlim(0, 20)\n", "\n", "# Calculate the Mean Squared Error (MSE) for the smooth spline\n", "mse_smoothspline = np.sum((yis - yhat_smoothspline)**2) / len(yis)\n", "\n", "# Calculate the Mean Squared Error (MSE) for the smooth spline on the test data\n", "mse_smoothspline_test = np.sum((y_test - yhat_smoothspline)**2) / len(yis)\n", "\n", "plt.show()\n", "\n", "print(\"MSE for Smooth Spline (Training Data):\", mse_smoothspline)\n", "print(\"MSE for Smooth Spline (Test Data):\", mse_smoothspline_test)" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 485 }, "id": "QXcP5lBENud1", "outputId": "0ac0cf2e-9b33-4b83-99d4-bebc42d4e1db" }, "execution_count": null, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "
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\n" }, "metadata": {} }, { "output_type": "stream", "name": "stdout", "text": [ "MSE for Smooth Spline (Training Data): 0.6226564807122167\n", "MSE for Smooth Spline (Test Data): 0.6824382301888525\n" ] } ] }, { "cell_type": "markdown", "source": [ "This is an illustration of what we call the Bias-Variance Tradeoff: as our models get more flexible (e.g. the spline), the training MSE will decrease, but the test MSE may not because we're overfitting the data (the variance of our model increases), but as our model gets more restrictive, we get error that can be introduced by fundamentally using the wrong model. More flexible models will reduce bias, but will increase variance. More restrictive models will increase bias but reduce variance. We want to find some intermediate between the two that will give us the minimum variance and bias." ], "metadata": { "id": "tV8WXAp5SShU" } }, { "cell_type": "code", "source": [ "mse_test = [mse_linreg_test, mse_smoothspline_test, mse_spline_test]\n", "mse_train = [mse_linreg, mse_smoothspline, mse_spline]\n", "\n", "def poly2(x, a, b, c):\n", " return a * x ** 2 + b * x + c\n", "\n", "popt_test, _ = curve_fit(poly2, [1, 2, 3], mse_test)\n", "popt_train, _ = curve_fit(poly2, [1, 2, 3], mse_train)\n", "\n", "fit_mse_test = lambda x: poly2(x, *popt_test)\n", "fit_mse_train = lambda x: poly2(x, *popt_train)\n", "\n", "plt.figure(17)\n", "xinterp = np.linspace(1, 3, 1000)\n", "\n", "# Plot test MSE\n", "plt.plot(xinterp, fit_mse_test(xinterp), color='r', linewidth=2)\n", "plt.scatter([1, 2, 3], mse_test, s=80, c='r', marker='o', label='Test', edgecolors='k')\n", "\n", "# Plot train MSE\n", "plt.plot(xinterp, fit_mse_train(xinterp), color='b', linewidth=2)\n", "plt.scatter([1, 2, 3], mse_train, s=80, c='b', marker='o', label='Train', edgecolors='k')\n", "\n", "plt.xlabel('Degrees of Freedom')\n", "plt.ylabel('MSE')\n", "plt.legend(loc='best')\n", "plt.grid(True)\n", "plt.xticks([1, 2, 3], ['Low', 'Medium', 'High'])\n", "plt.tick_params(axis='both', which='major', labelsize=14)\n", "\n", "plt.show()" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 490 }, "id": "nIf2eWGEOBwv", "outputId": "9b131574-6275-47e9-a314-5b93e2d93276" }, "execution_count": null, "outputs": [ { "output_type": "stream", "name": "stderr", "text": [ "/usr/local/lib/python3.10/dist-packages/scipy/optimize/_minpack_py.py:1010: OptimizeWarning: Covariance of the parameters could not be estimated\n", " warnings.warn('Covariance of the parameters could not be estimated',\n" ] }, { "output_type": "display_data", "data": { "text/plain": [ "
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\n" }, "metadata": {} } ] }, { "cell_type": "markdown", "source": [ "### If Time...A clearer example of the Bias-Variance Tradeoff" ], "metadata": { "id": "S-sRI_y3SYZH" } }, { "cell_type": "code", "source": [ "# Generate x values\n", "x = np.linspace(-1, 1, 100)\n", "\n", "# Generate training data\n", "y_train = 10 * (-x) ** 3 + 1 * np.random.randn(len(x))\n", "\n", "# Create a figure for training data\n", "plt.figure(17)\n", "plt.scatter(x, y_train, color='b', linewidth=2)\n", "plt.xlabel('x')\n", "plt.ylabel('y')\n", "plt.xlim(-1, 1)\n", "\n", "# Linear regression\n", "xlr = np.column_stack((np.ones(len(x)), x))\n", "ylr = y_train\n", "b = np.linalg.lstsq(xlr, ylr, rcond=None)[0]\n", "yhat_lr = b[0] + b[1] * x\n", "\n", "# Spline fit\n", "spline = UnivariateSpline(x, y_train, s=0)\n", "yhat_spline = spline(x)\n", "\n", "# Smooth spline fit\n", "def poly4(x, a, b, c, d, e):\n", " return a * x ** 4 + b * x ** 3 + c * x ** 2 + d * x + e\n", "\n", "popt_poly4, _ = curve_fit(poly4, x, y_train)\n", "yhat_poly = poly4(x, *popt_poly4)\n", "\n", "# Create a figure for test data\n", "plt.figure(18)\n", "plt.scatter(x, y_train, s=80, color='b', linewidth=1)\n", "plt.plot(x, yhat_lr, color=[0.6350, 0.0780, 0.1840], linewidth=1)\n", "plt.plot(x, yhat_spline, color=[0.8500, 0.3250, 0.0980], linewidth=1)\n", "plt.plot(x, yhat_poly, color=[0.4660, 0.6740, 0.1880], linewidth=1)\n", "plt.xlabel('x')\n", "plt.ylabel('y')\n", "plt.xlim(-1, 1)\n", "plt.legend(['Training Data', 'Linear Regression', 'Spline', 'Poly Fit'])\n", "\n", "# Calculate MSE for training data\n", "mse_train_lr = np.sum((y_train - yhat_lr) ** 2) / len(y_train)\n", "mse_train_spline = np.sum((y_train - yhat_spline) ** 2) / len(y_train)\n", "mse_train_poly = np.sum((y_train - yhat_poly) ** 2) / len(y_train)\n", "\n", "# Generate test data\n", "y_test = 10 * (-x) ** 3 + 1 * np.random.randn(len(x))\n", "\n", "# Calculate MSE for test data\n", "mse_test_lr = np.sum((y_test - yhat_lr) ** 2) / len(y_test)\n", "mse_test_spline = np.sum((y_test - yhat_spline) ** 2) / len(y_test)\n", "mse_test_poly = np.sum((y_test - yhat_poly) ** 2) / len(y_test)\n", "\n", "mse_test = [mse_test_lr, mse_test_poly, mse_test_spline]\n", "mse_train = [mse_train_lr, mse_train_poly, mse_train_spline]\n", "\n", "# Create polynomial fits for test and train MSE\n", "def poly2(x, a, b, c):\n", " return a * x ** 2 + b * x + c\n", "\n", "popt_test, _ = curve_fit(poly2, [1, 2, 3], mse_test)\n", "popt_train, _ = curve_fit(poly2, [1, 2, 3], mse_train)\n", "\n", "fit_mse_test = lambda x: poly2(x, *popt_test)\n", "fit_mse_train = lambda x: poly2(x, *popt_train)\n", "\n", "# Create a figure for MSE comparison\n", "plt.figure(19)\n", "xinterp = np.linspace(1, 3, 1000)\n", "plt.plot(xinterp, fit_mse_test(xinterp), color='r', linewidth=2)\n", "plt.scatter([1, 2, 3], mse_test, s=80, color='r', marker='o', label='Test', edgecolors='k')\n", "plt.plot(xinterp, fit_mse_train(xinterp), color='b', linewidth=2)\n", "plt.scatter([1, 2, 3], mse_train, s=80, color='b', marker='o', label='Train', edgecolors='k')\n", "plt.xlabel('Degrees of Freedom')\n", "plt.ylabel('MSE')\n", "plt.legend(['Test', 'Train'])\n", "plt.grid(True)\n", "plt.xticks([1, 2, 3], ['Low', 'Medium', 'High'])\n", "plt.tick_params(axis='both', which='major', labelsize=14)\n", "\n", "# Show the plots\n", "plt.show()" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 1000 }, "id": "LGC8pydKOOr6", "outputId": "646961aa-8724-4170-b64f-201fc6256693" }, "execution_count": null, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "
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\n" 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\n" 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\n" 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