{ "cells": [ { "cell_type": "markdown", "id": "8acfdb94-5ff1-4813-ac8b-4e925beebb36", "metadata": {}, "source": [ "# 2025-10-20 Noisy Data\n", "\n", "* Share individual projects, form groups\n", "\n", "* Noisy data\n", "\n", "* Bias-variance tradeoff" ] }, { "cell_type": "code", "execution_count": 1, "id": "8bc3feaa-d25b-4071-835a-599404af6d8b", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "vcond (generic function with 1 method)" ] }, "execution_count": 1, "metadata": {}, "output_type": "execute_result" } ], "source": [ "using LinearAlgebra\n", "using Plots\n", "using Polynomials\n", "default(lw=4, ms=5, legendfontsize=12, xtickfontsize=12, ytickfontsize=12)\n", "\n", "# Here's our Vandermonde matrix again\n", "function vander(x, k=nothing)\n", " if isnothing(k)\n", " k = length(x)\n", " end\n", " m = length(x)\n", " V = ones(m, k)\n", " for j in 2:k\n", " V[:, j] = V[:, j-1] .* x\n", " end\n", " V\n", "end\n", "\n", "# With Chebyshev polynomials\n", "function vander_chebyshev(x, n=nothing)\n", " if isnothing(n)\n", " n = length(x) # Square by default\n", " end\n", " m = length(x)\n", " T = ones(m, n)\n", " if n > 1\n", " T[:, 2] = x\n", " end\n", " for k in 3:n\n", " #T[:, k] = x .* T[:, k-1]\n", " T[:, k] = 2 * x .* T[:,k-1] - T[:, k-2]\n", " end\n", " T\n", "end\n", "\n", "# And for piecewise constant interpolation\n", "function interp_nearest(x, s)\n", " A = zeros(length(s), length(x))\n", " for (i, t) in enumerate(s)\n", " loc = nothing\n", " dist = Inf\n", " for (j, u) in enumerate(x)\n", " if abs(t - u) < dist\n", " loc = j\n", " dist = abs(t - u)\n", " end\n", " end\n", " A[i, loc] = 1\n", " end\n", " A\n", "end\n", "\n", "# And our \"bad\" function\n", "runge(x) = 1 / (1 + 10*x^2)\n", "\n", "# And a utility for points distributed via cos\n", "CosRange(a, b, n) = (a + b)/2 .+ (b - a)/2 * cos.(LinRange(-pi, 0, n))\n", "\n", "# And a helper for looking at conditioning\n", "vcond(mat, points, nmax) = [cond(mat(points(-1, 1, n))) for n in 2:nmax]" ] }, { "cell_type": "markdown", "id": "1a6f5c08-2864-41d2-90d6-2a0283d6f3c5", "metadata": {}, "source": [ "## Lower-degree polynomials to fit noise-free data\n", "\n", "We can fit $m$ data points using an $n < m$ dimensional space of functions.\n", "This involves solving a least squares problem for the coefficients $\\min_c \\left\\lvert \\left\\lvert V_c - y \\right\\rvert \\right\\rvert$." ] }, { "cell_type": "code", "execution_count": 2, "id": "810f1a24-8ae0-44b1-8cfd-cf4f64b527a2", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "cond(V) = 4.540300267483982\n" ] }, { "data": { "image/png": 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", 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ndata)\n", "xx = LinRange(-1, 1, 500)\n", "C = chebyshev_regress_eval(x, xx, nbasis)\n", "\n", "# And plot\n", "plot(xx, [runge.(xx), C * runge.(x)], label=[\"true\" \"fit\"])\n", "scatter!(x, runge, label=\"data\")" ] }, { "cell_type": "markdown", "id": "b64c32eb-4b9e-49c2-a5f9-84d4b39dc878", "metadata": {}, "source": [ "Note that only 20 of the singular values are significant!" ] }, { "cell_type": "code", "execution_count": 4, "id": "2f6a4759-4433-4aa0-89da-08c041aca28b", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "size(C) = (500, 50)\n" ] }, { "data": { "image/png": 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m85evqa+v51ULCwtdR01Q6Wih2md8y2pBQYHLCA+VjhaqfSao2Y9sVn3//v2A4eNUOlmqOk1Usx+pami6cMVafjU/P7//sLEfqr1GqBqZLlq5jndPeS6Xm5eX5zx0dOPqktV/8Ku5ubl9h4xSMbbiV5eu2cA/LLm5uU6DR6oYW6k4TVS1G6ZqZLp83Z/8ak5OjuOgESrG1qpOk9TshqsZma5Yv4lfzc7O7u02/EO113A1I9OVf2zmV9+9e+fgOkzF2Fq174fqqg1bWCwWr5qVlWXv4q5qYqPSd5Ka3TA1I9O1m7byq2/fvu3lMlSlUXXd5r/51czMTLsBQxpVzdZv2cZms3nVqOjo9p0tVRzHS4zeLD/kdxXTXiMnT6+qquJVrwQGqXcwlx+8mOZ5Usxjh0pPd/uB7iUlJVwut6qqyqyno8SYLeRAKTneQI43kHWPlUwdTp7x5W07c8HvSlYuZO5VsiWNrH4oMeYvbeNurf0pAk9lZeVnXxMYGDh06NAf0Bj4t/Py8jp+/Di3bX9XX+RXn0eopaU1Y8aM9evX8x4GBgYOGzaspKREUVHARZ3PziP8JlgsVkZGhpiYWPv27VvO+2Eymbyqrq6uwGp6erqEhMRXVBsaGl6/fv2Janp6upSUlMBW8au82e4tq8+fP1dQUBA4co+3rbS0NG8ufMvqq1evZGRkvqJaX1+fnp4uKyvLm0ffsvrq1Ss5OblPVOXl5fmXePk4HE5KSkpaWpqCgoK5ubmysnLjam1tbXR09LPkVFVlRUsLC95yB4SQGQt+9640aLCb1vQD1Cjvd066c/XKtZvrApMqR+1rsvBQQbr2uQmvEqIlJJpM5wC+tsz3CgoKOn36dGBgi7UPAZqaPn169+7dvby8/q3zCIuLixMSEpKTk5lM5rBhw3hLojQTFRXl4+OTn5+vo6Pj6enJ65Lq1KlTTMzH1V4ePnyoqqrauLP0xxMWFuYN3hFIRETkE6uSioiImJiYfF1VVFT001XeAjdfVzU2Nm5tsbHPbtulS5evq4qJiX26amoqYM7JZ6t0Or1Lly6t7VlCQsLZ2dnZuclFQQ6Hc+32nYalm1t8AMmyXr+d9Dl//OyFyt/uN19+T82opPMwv4uXPKdMbq2dAPDr+xGDZTZu3KiiouLi4rJkyZIVK1YkJye3fM2+ffscHBxu375No9ECAwN79Ojh4+NDCJk0adL9+/ejo6MJIe/evfP29p40aRLWX4Bvq7CwkChoN885QgghbO2u0fFJLCmV5usDEEIIqe3gFBL56Ps3EAC+ox9xRqinp7dq1SpLS8vExMTNm1v86CYkPT196dKlvXr1CgkJkZCQYDAYvXv3nj17dr9+/SZOnHj37l1HR0czM7O0tLRu3brxu0kBvhUhISHBc2MIIRwWnUYjoq10fopK1tTWfr+GwWcxmczo6OisrKzKykpNTU0rKyuB/fAAn/AjgnDixIm8/8jLEzxt+cSJE0wmc82aNbxrLTIyMitXrhw9erSPj8/y5ct9fX3nz5+fmpqqo6Pj4ODQ+J4MAN+EsrIyvbKAsOqJsFizkmhGVD+HnkmHTgnckJ6X3NVYwNo98AOUlJRs2bLl2MlTVRXlhBC6iBiHWU8IsbTu/ueG9QMHDvzcDgA++CWmTzx48EBSUtLR0ZH/jIuLi5CQUFhY2PLlywkh1tbW1tbWn91PTk5OeHh44yuI+/btGzZs2Hdo8n9NTU0Ni8VqfJskqvEcP3rP7c3VgzY2ebbivXzcqTFbgyPjEm88CWJ3HdqkymYqRB8a7Xe0qqrqRzb1X6S6uvqzFzLq6uq+YsheTEzMEPfhZVU17D5zieVwotGJIyxKqkpIWviTB4ddXV2neXkdOnjwi+4r8lnjxo178eLF8+fPv+E+P0tXV7d///7Hjh37kW/6WcOHD8/Ozn78+PEPft/6+vqqqqq2/F3xSUpKfvab7ZcIwtevX2toaDT+k5WRkVFSUnr9+vUX7UdbW7tXr15XrlzhPayvr1dUVPy2/0/4r6LT6eLi4lQOwg2rlz8b7xl5zqvcbhbR6kyqy4TSI5XCd146eVBbW/vEvu02fQbmMGuZVqMJjU4IIeV5Cv7zlkwd84kRPcDlcj97pw5xcfEvveofHx/fx6kvq70Ve/l5Itto5WFpJWI1gm01gjz0Pe3zW3l5hf+li99wSEFlZWVZWdm32lsblZaWMhiMH/ymn1VRUfHjDwUhRExMTFpaui1/V1/klwjCiooK3s3zGlNUVCwubmVNrNYJCwvzzwjr6uqo/M0OX0RISOjaBe+bN4NPXjydHJKqqKhkb2Ox+MEtdXV1QoiysnJS1N2FK9ff2bO3gS5GZzeoyMv8tf73Qa7of/vRqqurh7gPZ2ubsxfcbHU1XduJHEn5gMOj9u/fP3/+/G/11mfPnmUyW7mWDP9mv0QQEkJa9o3w5jn+lMYAZbm5ubq5uQosycnJnT60hxBSVFSkrKyMocs/y969ewsKCzl/3m81BXm6Dubae637Y+OUKVO+9K4FGRkZKSkp1dXVKioqFhYWjX9b19fX81+Wk5NDp9M1NTXz8vJiYmJkZWUtLS1bTnFOT09PSEiQlZV1cHCQkJDIyspSUFDg7ZPBYBQVFWlpaYmJibXcbWvNy8nJefHiRVlZmZKSkp2dXePljRoaGnJycpSUlOTk5BISEl69emVubt5s2lVtbW1+fr6ysnKzw1JSUlJRUaGjoyMiIkIIqampSUpKysnJERERsbS0/PQQpMzMTCkpqcYLflVWVhYXF2trazfuk+PN4uX9P8je3r7ZlK3Kysr4+PjCwkJpaWkjI6NPzFL79r7t/PxP279/PyEkICCg2fNKSkoGBgbNnlRVVW355Kd975Vl/sOqq6v5i7PApzEYjJ/dhH+N77GyjK6BEek19cPqP5/+37ZMQqOdPXu27TtnMpkeHh68Xzm8/iQhIaHHjx/zqq6urlpaWvwXd+nSpWfPnrt37+av2iElJRUcHMx/AZvNnjdvHm9vNBpNSUnp/PnzhJA//viD94JTp04RQmJiYhq3oXPnzvb29vyHMjIyY8eO5T/s3bt34y9wBQWFwMBAfvXZs2eEkI0bN/JftmbNmmafsbi4WFRUdNKkSc2et7W1VVNT4y1KdejQocbLRNBotGnTpvFXd+JyuU5OTo2/nyUkJJrt8MCBA4SQp0+f8p85d+4cb41MHg0Njfv37/Orfn5+8vLy/MNOCFmwYEGzFn6/lWV+iZ5DQ0PD/Pz8xj+1KisrS0pKWvaXAgCVZWVlvc1IJ12HtOnVClrCut3u3LnT9v2fOXPm/Pnze/bsqa6uZrFYubm5x44d431BC/TixYsTJ07cu3evoqIiLCxMSkpq2rRp/O7TgwcP7t+/f8KECXl5eQwGY/v27XPnzm17YwSysbGJiIgoLS2tr6+Pi4vT09MbN25cswH527dvV1FRefr0aUFBgaenZ7M9KCkpubq6XrlypfGlx9evX8fExEycOJF3OigrK3vkyJHs7GwWi5WTk7NgwYKTJ0/yzmS+TnBw8IQJE2xsbJKTkxsaGp48eaKhoeHu7p6Tk0MIYTAYU6dOtbGxycrKYrPZlZWVYWFhvXr1+uxuv5VfIggdHR1ramrCw8P5z9y+fZvNZjs5ObW+EQBQTnZ2NiFE4A2lBWKpGGVmvWv7/l+8eCEiIvLbb79JSkrSaDRNTU1PT89P/CKvqanx9/d3cHCQlZV1dHRcsGBBfn5+eno6r7p79+727dufPHlSQ0NDSkpq6tSpLWPpS23bts3e3l5BQUFUVNTGxsbb27u2tvbq1SY3qFFXV/fz8zMzM1NVVdXTE3B77cmTJ1dXV/PHFRJCvL29uVwuf6rb+PHjJ02apK2tLSQkpKWltXv3bisrq3Pnzn11s1etWqWrq3v58mUTExMRERFzc/OLFy8yGAzeaNjXr1/X1dWNHz+et56ijIyMo6PjyJEjv/rtvtQvcY3Qy8tr586dmzZt4vWhV1ZWbt26VVJSkv+vAgBACPlwstXa3apbEhJpaPiC4S1mZmZMJnPMmDGzZ8+2s7Nrbd1BPl1dXf5ytYQQ3tW4rKwsExOTqqqqzMzMOXPm8M6xeIYOHbpjx462t0egmJiY+Pj4goICFovF4XAIIc0G2A8ZMuTTaywPGjRITU3N29t7ypQphBBev6WVlZWZmRn/Nbm5uXfv3s3KyqqpqSGE1NbW5ubmfl2D8/Pznz596uHh8f79e/6TdDpdQ0ODNwFDT09PWlp6w4YNbDbbxcVFQ0Pj697oq/2IM8Jbt27RaDQajTZv3jxCyPDhw3kPed3ZhBBDQ8Ndu3ZFR0d36NBh8ODBHTt2fP78+eHDh3/84QCAX9mHISSlbT3JEyrNaq+j9fnX/d/kyZMXLVoUHBzs7OwsLy/v4uISEiLgzpp8ze4HxwvOuro6Qgiv06/Zl9gnhsC0BZPJdHd3t7W1/fvvv6Oiol6+fPn27VtCSG3T5Y0++y7CwsLjxo178ODBmzdvCCFhYWGZmZmTJ39cMtfHx8fQ0HD27Nm3bt16/vz5mzdvqqura792ESVegp4/f96gqby8vPLyckKIvLz8pUuXOByOp6enpqZmly5dtmzZwjuMP8aPOCPs2LHj1q1bWz7f+E9k3rx5lpaWvr6+eXl5I0eOnDJlSuP78QIAEEKMjIyUVNVLXoSSTn0+/+raCm5GnMP83W3fv5CQ0K5duzZt2hQWFnb//n0/Pz8XFxd/f/+v6KZTUVEhhJSUlDR+stmUMN44Gm7T4fGfCAAfH5+goKC9e/fyx+CUlZX5+ze/JXhblt/y9PTcs2fP2bNn161b5+3tLSoqOnbsWF6psrJy9uzZNjY2N2/e5E/Xc3d3z8/Pb21vNBqNd27K13jMB+/3wcyZM5ctW9ZsQ/5w2YEDB7558yYpKSksLOzq1aurV6+OiYm5fl3AfcW/hx8RhPr6+rwFYj7N1tbW1tb2B7QHAP6l6HT6hHFjDp48zXJd3vgGy4LdOyAsRP+KtaUkJSXd3Nzc3NxWrlypra3t5+f3FUGopKSkrKzMu4Uq34MHDxo/VFNTI7w13/+vqqoqKyurtVO6xMREQsj06dP5s3fi4+O/tGE8pqamXbt2PXPmzOLFiwMCAoYMGcK/YVlqampNTc24ceP4KchisZKSkj6xN1VV1cafghDy4sUL/n8bGRlJSkq+ePFC4I3e+Gg0moWFhYWFxZIlS0aOHBkQEFBZWfmlU1++zi8xWAYAoI1WrlwpSpi08/PJp+cZZz8VCtkxf97cL7rCkpiY2PiEjHeu9olRo5/m6emZmJi4c+dO3sOkpCT+f/Pwpsr5+fnx3ojD4axYsYLFYrW2Q95n4WdSRUXFqlWrvq5thJApU6ZkZmYuXLiwqqqqcb8oL4Z5ocuzbdu2d+8+1R3dqVOnyMhIXm8wISQhIYE3UYRHTEzM09MzOjq62bjTwsJC3tXNnJycD8Og/o/L5YqJiX32Gu238ksMlgEAaCM1NTXv06dGjx5NxGXJuN2CB868jRc+NLJLZ+ONGzcKqLZu8+bNDx48cHR0bN++fV1d3bVr10RERHiDG77CunXrYmNjly5dumvXLnl5+fT09FWrVm3YsIHfdamvr+/u7n7x4sWcnBxjY+P4+HhRUVEDg1bHxE6YMGHbtm2urq7jxo0jhAQHB1tbW3/1SeGECROWL19+8uRJNTU1FxcX/vM6OjqDBw8+fvx4bm6usbFxQkLCixcvevfuHRsb29quFi5cGBoaamVl5erqWlZWdu/evUGDBjUelfr333+/ePFi/vz5Pj4+1tbWHA4nIyMjIiJiz549hoaGiYmJw4cPt7e3NzY2lpSUjI+Pf/Dgwdq1a3/YAplCf/zxx495px/gzZs3Dx8+5I815a0ijVXW2oLJZAoLC2O1lLZoaGjAArZt1NDQ0HjNFIFevnz55MkT/gWqtjAxMdHR0Qk+vJmedJUjo0qUdT/GYWEGubGFfm6upZnxzevXvvRkjlVk1QgAACAASURBVDd8MScnJyUlhcFgODo6nj59mr8yS2VlpYGBAX9aV1FRUZcuXRpPd6uvr2exWP369eOtzCcqKjpx4sTOnTsrKChYWlru2LFDV1f35MmTo0aN4t9FYMiQISIiInl5efn5+f379z9+/Hh1dXWXLl3s7Ox4LygpKenZs2e3bt0IIfLy8kOHDi0qKkpOTmYwGFOmTNm2bVtBQYGDgwNvwCeLxaqqqnJychI4a6IZSUlJcXFxPT09T09PCwuLxqWhQ4eKioqmp6dnZmaampr6+PjIy8urqam5ubnxXlBRUWFkZMS/U4KhoaGNjU15efnLly9VVFSOHDnSrVs3MTGxgQMH8vo2RUREJkyYYGho+P79+5SUlLKyMi0trYULF44cOVJcXFxJSUlLS6ukpCQ9PT07O1tLS2vr1q0zZsxo9o10/fp1bW1tCwuLtvxdfZlvOz//58LKMl8NK8u0HVaWabvvsbIMX0JCgoNjH0KIkLiUiE5nEaOeIsrtCCHSsnK8MYdfsc/vbcWKFYQQ/lI18EW+38oy6BoFgH8lCwuLB2H3X758GRwcnJmZyWAwtLScrK2t+/fv33h5sJ+IxWItWrTIw8PDwMCAN7xz165ddnZ2VlZWP7tp0ASCEAD+xTp27PhDV2f+QleuXOGtusnj6urKW18UfikIQgCA70JYWDgvL+/169fv37/ncrlGRka8a4fwq0EQAgB8R4aGhrh/wC8OIyoBAIDSEIQAAEBpCEIAAKA0BCEAAFAaghAAACgNQQgAAJSGIAQAAErDPEIA+JlkZGSCg4MVFRV/dkPgV1dTU+Ps7Pw99owgBICfycnJqbi4mM1m/+yG/GRVVVX8G+GCQEJCQt/pPr0IQgD4yX7MXch/ccLCwjIyMj+7FRSFa4QAAEBpCEIAAKA0BCEAAFAaghAAACgNQQgAAJSGIAQAAEpDEAIAAKUhCAEAgNIQhAAAQGkIQgAAoDQEIQAAUBqCEAAAKA1BCAAAlIYgBAAASkMQAgAApSEIAQCA0hCEAABAaQhCAACgNAQhAABQGoIQAAAoDUEIAACUhiAEAABKQxACAAClIQgBAIDSEIQAAEBpCEIAAKA0BCEAAFAaghAAACgNQQgAAJSGIAQAAEpDEAIAAKUhCAEAgNIQhAAAQGkIQgAAoDQEIQAAUBqCEAAAKA1BCAAAlIYgBAAASkMQAgAApSEIAQCA0hCEAABAaQhCAACgNAQhAABQGoIQAAAoDUEIAACUhiAEAABKQxACAAClIQgBAIDSEIQAAEBpCEIAAKA0BCEAAFAaghAAACgNQQgAAJSGIAQAAEpDEAIAAKUhCAEAgNIQhAAAQGkIQgAAoDQEIQAAUBqCEAAAKA1BCAAAlIYgBAAASkMQAgAApSEIAQCA0hCEAABAaQhCAACgNAQhAABQGoIQAAAoDUEIAACUhiAEAABKQxACAAClIQgBAIDSEIQAAEBpCEIAAKA0BCEAAFAaghAAACgNQQgAAJSGIAQAAEpDEAIAAKUhCAEAgNIQhAAAQGkIQgAAoDQEIQAAUBqCEAAAKA1BCAAAlIYgBAAASkMQAgAApSEIAQCA0hCEAABAaQhCAACgNAQhAABQGoIQAAAoDUEIAACUhiAEAABKQxACAAClIQgBAIDSEIQAAEBpCEIAAKA0BCEAAFAaghAAACgNQQgAAJSGIAQAAEpDEAIAAKUhCAEAgNIQhAAAQGkIQgAAoDQEIQAAUBqCEAAAKA1BCAAAlIYgBAAASkMQAgAApSEIAQCA0hCEAABAaQhCAACgNAQhAABQGoIQAAAoDUEIAACUhiAEAABKQxACAAClIQgBAIDSEIQAAEBpCEIAAKA0BCEAAFAaghAAACgNQQgAAJSGIAQAAEpDEAIAAKUhCAEAgNIQhAAAQGkIQgAAoDQEIQAAUBqCEAAAKA1BCAAAlIYgBAAASkMQAgAApSEIAQCA0hCEAABAaQhCAACgNAQhAABQGoIQAAAoDUEIAACUhiAEAABKQxACAAClIQgBAIDSEIQAAEBpCEIAAKA0BCEAAFAaghAAACgNQQgAAJSGIAQAAEpDEAIAAKUhCAEAgNIQhAAAQGkIQgAAoDQEIQAAUBqCEAAAKA1BCAAAlIYgBAAASkMQAgAApSEIAQCA0hCEAABAaQhCAACgNOGf3YCPsrKyiouL9fX1FRQUmpXi4uLS0tJ0dHR69+4tJCT0U5oHAAD/Sb/EGeG2bdtUVFR0dXWtrKzu3LnTuMThcCZOnGhvb79///4hQ4b07t27qqrqZ7UTAAD+e36JIDQwMNi+ffuDBw9alnx9fS9evBgeHh4fH5+SkpKenr5hw4Yf30IAAPiv+iW6RkeMGEEIKSkpaVny8fFxcnKytbUlhLRr127y5Mne3t7btm2j0Wg/upUAAPBf9EucEX5CWloaLwV5bG1tCwsLy8rKfmKTAADgv+SXDkI2m11QUKCkpMR/RllZmRCSl5f38xoFAAD/Kd+9a3TatGlJSUkCSwcPHuzZs+cntuVyuVwut3EvKJ1OJ4Sw2exv20gAAKCs7x6E7u7uPXr0EFjS0dH59LbCwsIqKiqNO0J51xE1NDS+YQsBAIDKviAICwsLExMTGQyGvr6+paVlyxcwGAw/P7/k5GR5eXk3NzcbGxtCyODBg/9J+wwMDBISEvgPExIS5OTkVFRU/sk+AQAA+Np0jTApKaldu3ZqamoDBw4cPXr0sWPHWr4mMzPTzMxs1qxZd+/ePXDgQI8ePdatW/fP2zd69OiQkJCXL18SQsrKynx8fEaNGoUhowAA8K20KQiZTGaXLl3Wrl174MCB1l4zadKk9+/fP3jwIDk5OS8vb8SIEX/++Wez2fGt8fPzMzAw4J1lzp8/38DAYN68ebzSrFmzrK2t7ezsRo0a1a1bNyEhoU2bNrVlnwAAAG3Rpq5RGxub4OBgQkhGRobAFzx+/DgqKmr69On29vaEEDExsb179wYEBOzZs6dfv36f3X/37t23bt3a+Bn+5UMxMbE7d+4EBASkpqa6uLiMHj1aRkamLW0GAABoi28zWObu3buk6eVATU1NKyur+/fvs9nsz64Oqq+vr6+v31pVRERkzJgxbWlGXl5eXFychYUF7yGHw1mzZo2Li0tbtqW4mpoaFovFG5QLn1ZdXf2zm/CvUV1djQsZbYRj1XZfdKwkJSU/+832bYKQdw3PyMio8ZMdOnR49OhRVlbWJ0Lu21JXVzc2Nj548CDvYUNDg4mJibS09I959381Op0uLi6OIGwj/FG1EZfLxbFqIxyrtvvmx+rbBCFvhkPjme/8hz9yFRg6nS4rK8sf0VpXVycs/EusIQcAAL+sb3MGwJvh3ix1eA9ZLNY3eQsAAIDv4dsEIW8AS2lpaeMneQ9lZWW/yVsAAAB8D98mCHlXAXNzcxs/mZubS6fTdXV1v8lbAAAAfA/fJgjt7OwIISEhIfxnampqoqKiLC0tJSQkvslbAAAAfA/fJgidnZ3btWt35syZoqIi3jP79u2rqanx9PT8JvsHAAD4Tto6qNLAwIAQwmQyCSEXLlzgTRxctmzZzJkzCSGioqLHjh0bPHhwt27dhg0blpWVdePGjT59+kybNu27tRwAAOAbaGsQOjs7t3yy8fW/AQMGPHz4cNeuXeHh4fLy8n/99dfChQtFRES+SSsBAAC+k7YG4dGjRz/7Gisrq/Pnz/+z9gAAAPxQWEkEAAAoDUEIAACUhiAEAABKQxACAAClIQgBAIDSEIQAAEBpCEIAAKA0BCEAAFAaghAAACgNQQgAAJSGIAQAAEpDEAIAAKUhCAEAgNIQhAAAQGkIQgAAoDQEIQAAUBqCEAAAKA1BCAAAlIYgBAAASkMQAgAApSEIAQCA0hCEAABAaQhCAACgNAQhAABQGoIQAAAoDUEIAACUhiAEAABKQxACAAClIQgBAIDSEIQAAEBpCEIAAKA0BCEAAFAaghAAACgNQQgAAJSGIAQAAEpDEAIAAKUhCAEAgNIQhAAAQGkIQgAAoDQEIQAAUBqCEAAAKA1BCAAAlIYgBAAASkMQAgAApSEIAQCA0hCEAABAaQhCAACgNAQhAABQGoIQAAAoDUEIAACUhiAEAABKQxACAAClIQgBAIDSEIQAAEBpCEIAAKA0BCEAAFAaghAAACgNQQgAAJSGIAQAAEpDEAIAAKUhCAEAgNIQhAAAQGkIQgAAoDQEIQAAUBqCEAAAKA1BCAAAlIYgBAAASkMQAgAApSEIAQCA0hCEAABAaQhCAACgNAQhAABQGoIQAAAoDUEIAACUhiAEAABKQxACAAClIQgBAIDSEIQAAEBpCEIAAKA0BCEAAFAaghAAACgNQQgAAJSGIAQAAEpDEAIAAKUhCAG+pZqaGi6X+7NbAQBfQPhnNwDgv6CsrGzByvX3I2OYwhI0Zq2yvMzWNb8Pch3Iq3I4HN/zfqcvXXv79q20tJSdjdXqxXPbtWvH37yuri42NjYl7aWqspKVlZWuru7P+RgAlIQgBPinCgsLbZxcc3stZi3cQWg0QkhBef6kDXOXpaWvWDy/oaHBecioJ8L6DNsNZLAeqWOkvIq82n/Y+YPbnfs6EUL8AwLnr/yjvkOfCqVO4rUvpf4+bq2rcvH0EWlp6Z/9yQAoAUEI8E/NWLQi22kNx8zt41PyGmWeF3Ye6DfafdC+Y6cfK9jV9V30oSQhxzUfVKTffcLsgalx4fEJibM27iude5dIyBFCagipIcvuxJ1zGeERFXKNEFJdXb1209+Bt+5U1zNF6DR93XY71i+3sbHhv1VUVNS5qzefvEhVV1N1trWaMnG8lJRU4+Zxudzc3FwlJSUJCYnvfzAA/n0QhAD/SENDQ0ziU86So80LQiKlPWedPnvhwtVrdUvimldlVMqsp5y7cGnfSd/SCed4KcjH7D4+5c2DsLAwc3PzHs5uWWaTGmbfI0IihJDcvJSBXvN3/j5zykQPDofj4TXnTlpRaQ8v0m8WqSy8/SBs6z770CvnjI2NCSHv3r3znP/7i1cZRF6LVJdK0dmbVi4eN3ok7124XK7/lYBzV2+lpKaqqqn1sbVeNGeGkpLS9zlOAL8uBCHAP5Kfn09Tai+wxNEwiXsSTJT0CF2oZbVBt/u96FMVHDEir9myWmY6wv9G6KEzfm96LGRbDP9Y0DQpnRm0bIuzSz+nY2fO3iyRq/Lc/6Ekr1nXrmuOycCBoya+TIjOzc21cx1RMGQnd5D9hxdUlczZMzc9M2vd8iUNDQ393cc84WhUdJ9N7Du9rix49Cr8pJ3zzfMnLSwsCCH19fW7Dxz2C7xZUlouJirSw8pi44pFBgYG/IYkJiYG3AyJf5baTlujn621u/tQERGRrzqEAD8ZghDgHxEXFycNtYJrDTWSYmKEVie4SqPX1dbQZFUFV2XVcjMKYxOfspccbF4SkyrvPs3X79Lh02erFkU3r2p0Ku4wMOBq4MEzfu9HHCB6HztRibRS+RTf/fudJ40ZsfPgsTh52zqnhR9KijqsHhPfGzkMmTA6PSGayWTa9hv0RteldoQvkVYirIbMVxF3Bo05t//vfs59uVzu1DkLb8Snl1hPJWaDSEW+37mw1Vt23rt2SUdHhxDCYrGOnDh14VpIVtZbOTm53j27r14yT1PzY94XFBQ8ePAg4cVLPW112x7dzczMBB8EgB8CQQjwj6ipqQkz3pP6aiIm1awkmX5vyKA+MVt2ES6H0JpPVRJ599ihu0XiuSDB+y3LUZKVoqkaCCwytcwj4o5wVfSJsGjLarVB71th19LzislIm+Y1unCZjefZi5cvXQuuW9qiw1apfbnx4KuBQdfuhL/s6sWyHvfheWFRrolzkY75xN8GvnocuefQsSs5wlUz/99yjU5Vnfq8fhPXz31s8qOI2tpae5eh6Wp21Y7biaJOTm1FalrYZSe3wDOHe/boQQj5a+feXSd8q81G1Kp2Ec7Kl/f+w1SRHnT+tIyMDCGkvLx85Ya/bt9/UNPAEqXTjDsa7dyw0tTUlPdW9fX1+w4fu3jtVkFhkYy0lH0Pm/XLFjaO2Orq6kePHr1Kf62lqWFpaamhodHsI7LZ7OzsbHV1dXFxcYHHtqamRlJSUmAJ/qswjxDgn1o6d6Zs0ArSbPpgfppy6nWPsWPcXfuLRh1vvk1NuXzcSa+pk9VlRElBest9KiX4ug90JqwGwW/JbhCm07kigr/KiYh4SUkJUdEXvKlqh0dJz4imSctsJoRU69nde/g4LCb+YwryyahUdh3rfyXg0GnfKreNzYpc/e7v1SxCQ0NnLlqe0smjeuBaoqhDCCEScpxu7oXTro6cMrumpubYKe9tQXHFCyNq+y0l5oNY9tOLp16M0hrmNnoiISQ/P79rL+cTVcZvfwsvXBKTs+jhHZP5TmOnX7sZTAgpLy/vZu+8PoaRMOhYzsKHqROvnmDadOvjGvfoEa8Nx05561vYjdh9Y040y+PMI/MBoyfPmt/Q8OEYpqWl9ew/RNOsZ4+JS3VtnDtY9gq6cZPf/pycnKEeU7U6W+v1dNEwsbLpOyg2rskPhaysrJOnTs/9ffXeA4cSExMFH3n4d0IQAvxTC3+b5dFZTunoEJJ0jRS+JpmPJO5s07kw5fbls+Li4ru3bOiSGSQZ/CepLCCEEDaTpIUrH3E7tmOTiorKqb3blM9OIaXZH3fH5UqEbLXXkxs0aBApekPYzJbvKPn6gWtfB4EJSggRzk82Nzai1TEEN7euUlpCnNAEXLYkhBC6cFlJCdHsLLBYq2MVEh7F1TAReCZaYegcfC/iblRcQ49JzWsKWhVdhgQGXduwbU/5mIO8gT98TKvRKTWSsbGx42fOf+eymdV9/MerqrqWxTOvzVi8qrKycsqcRelWv9X2+53IqhFCiJg0p9vQwmlXR0yZVVdXd9bv0vJjAYULHpQN2cqx92K4rC2af9+/QnP89N8IIU+fPnUYOi62x9rCRdEFk/0K5oelj78wdcPBA8dOEkJevXpl7Tz4uvrovEUPC+fde7845nGfv928lly6cpUQwuVyF65YazV4wqywqoMsu8WJogMWbO0zaERVVdWHw1Jbu3n7LgtHF50u1p179pm7dFVBQUGzA1BWVvbo0aP8/HzBhx1+KnSNAnwDh3f/PT0x0S/geuLjKypKiv0GWo87HcnrYZOUlIy7f+vAkePe/tOKikvFREWsuplvvOrbsWNHQoilpWXQqb0TZo6tltWpVTMRqy6kZyWMGtR/95ZjdDp92oQxe0O3Vg9c2+TNijIVkgPH+0QHhYbfeh7MMXVtUmXWKsSe+O1u4JlLbgI7bOVehgyfNuDumr8EfhCx3CTTjvrR7wVHLOFyuBwOV7SVnkMxqdzcfK5WF4HFap3uwfeus1Q7EDEB8yNLjIdcuRacnFXAHeLUvCapwOg6yu/ipZhnaayFx5pXFbUrOw68GRy8YuPW8jmhpGnbavsuCT86JDU11WPmgqKJZ4l6h481WbWyaZc27uo9dvjQsV5z348+Rtp1/VhV71A6I2jeqr4u/fruPXLi9JPSynl3eefQHEKKbSc/fHze3WPq3Wv+xcXFtv0HZ3caUTf0FJFRIXWMl8khV3oPuH3R29zcnBASGRXlOX8Zgy7FVjEUKs8RLs/dtGrplIkevPdhsVi+5/z8g++9Sn+lo9POtY/dnOmejSfAvHnz5t79sCdpGZ30dBx62fL2Cd8WghDg27CwsOCNt2xJWFh44dzZC+fOFli17dkz42lcZmZmWlqaioqKicku/vfgxtXLn3tMjTrrWdbDi2gak6oS0Zf3leJO3LhwWlJS8uS+7d37uuXWVbKsRn/o5yzKVLw0Z+OSOVpaWssXzF4XsLRyzCHeHH8e2utojaLEYe67z18NvpYY0GQ8KiGkplwu3nfWjluHz7sSLrfxhjyS72L79usZcdBH4AcRKUwz0tWKKspr7RDV19VxpBQE16QVM96+5WiaCCzWaJiFRQVydARnAEPbOvjOPaZap2azUHhKTUeeu3CpmEg3SUEeYTFGt7Hevmdz6+hNUpBHQrbKbERQ0LUDJ7wrFz9s1pPcYO3x9FTgs2fPFq/d9MZhJbvLh1WEiLgM23Lk+3YWQ8ePT0+KiYiMGjN/dcmksx86igkhtZWLDs8sLitfOn9OZWWlw0D3DJXuVRaLSB+DjLLcmMc3Dxx3CL9xWU9Pj8vlzl60/Er4o3KzUSxle3pCjuL5DZZqYlfPneJNCS0tLV27eXtIWER1Xb24iHBPa8ut65Y3XrEoMjLyemjYs7TXRnrt3Jx6DRgwgNbi3xQIghDgV0Cj0fT19fX1m1/VExISunbRJyQ01Nv/cnJ0mrKySr9eNrP2hsnLyxNC1NTUnkTdXbJmY+ievQ00ETqHqaWmumPPOsfeDoSQBXNmZuXk+RzoV2o1maveiTCK5DLCNArj7wZeFBISOrl/Rw9ntyzG+/qeU4ioJOFySeYj5aClR7b/qaGh4da3t1/0ifpe05u0pixX7vnViWeifa/cKMyIJQY9mlRZ9fKPvGfcuHD66hiBn1Ey53FvR+sI72sCq8LFmbpaGlFFRYIPEJslKiLS/CpsI7U1NSxpFYEljqzqy4xIloqhwGqditHjpGtMNWOB1Rq1zvcj7nB0rQV2BZd0GhR4/cbzrEL24IHNayr6Fbq97t+/P3PpmpKpAURO/WNJQrZ8ss+2PQ5Tx4+Z+tviFDMvpuUo/lb1fea9M+jlOmpi8qOI1Rv/OpfBqfotlPeLhENIse2U8IenRk+Zef2iT1ZWVq+Bw/J7LWTPWEOERQmHnZVy916/ITfOnbC2smpoaBg8dlJ8Cb3UbDQxdQ8py/bdE2SwZee9a/68Px4OhxNwNTDgdtirjAy99u0H9e3lMWZ0swkw+fn5GRkZ7dq1axyu/0kIQoBf3YD+/Qf07y+wJC8vf/LALkIIk8lsOY1v15YNs6a8Crp5Kz75nLaastOcfgMH7qLT6YQQBQWFJ1H3/ty26/KpQVU1tSJC9C4mxtsunezcuTMh5NDOv5Jdh6WWZVV1n0pU9EltuVDafeX7f185c0RKSurskT29Bg7Pd93MNen34Z3K8xQuzFq7cKaBgUHv7hZBjy8wrcc2aUpFvtyzq1NORx3yuVhY9Kb5QB4uRz7x7PSLx866ewg8E5XLjBg8ue/tP3YIPAgyOY9snS3uXQgTWBUuz9XV0qC3uGjHQ6tlKMjKCBW1OgGGTicsCcFnsVwJ+ZevHjLbWQqslmtZ3wq9W6tk1CQFeYREGGYj/C9fjk3JYM4f1bzarluhQsewsLCT5/2rlsY0Oxr1tp5xRwNfvXrlMX1ervs+rn73DwW6ELfLgEIN4xGTR2c8iZ2+4PdIqe61rnM/VDWNKzr3f/b02lCPqQ+Cr1ZVVfUZNOKVZMfKrmOIsW5Cac7tKzf+2uMYEXxVVVWVEHIj+NZvy9bWy2oyFXRFKnKESzK3rlsxYdzHnzi1tbXPnz9//fq1np6eqanpv305QAQhwH9Ba5PZO3To8HuHFl2ChBBCJCQktqxfvWX9aoGlmLs3T57xORe4LuvtWzl5ud623VeGBfNmI+jp6T2+f3Pm4pWPg1cTaWVSW6kkI7Fj86qBA/oTQk7u25HWf3BGWVZtz6lERpUw62hp95VDNvgd3y8tLX3mwA63SROKJ/oS/swQZq3s5YVThvYzNjZ2H9DX98HBOse5TVqTl6L4Ltrdfdv5wFs34v1ZVk2TozRbNu2Wl1/M9sOnCaOQyDSflymf5Od16Zh3wCjCZjYbpEMIUUy/PXbDjCszFgqc4qKYcc/Zq/+NA/4CD6BYaYaOrhopa2WeKCEVFRV1iroCS3WK+jGP7jH1egislrbrdfXadbaRPaEL+Iou7eR2JeBqdr3IxxTkU2pXpWt38+bNWxGxtQu3NyuyzIekxPsmJyev/HPb044TPv5YkVWr0rVMT7MfNGbSo7Dbl68Gzdy4r3TaNSLz/5Ps2op5e6aVM6rmzphGCNl/5Pim3Qc5+j0Z8vrSlQ+FXkfPmzZxzbLFvNfm5eUtXbc5+lF8HZMtJky3sei6c+Pq9u0FLzrxi0AQAoAAQkJCM6ZNnTFtqsCqpqbm9QvehJCysjJZWVkhoY9jUGVlZRMi7uw5eMQv0LOwqFhaSsrW2nJDaCCve83G2vqW7+GJs6eXskU46p2EKgtoha9XLJyzYM5MQsj+7Ztfuo956v+ywmoSUe9AKgrE0kJVEn1vB14QERE5c2i3Xf/Bb0rf1NpMIvIapI5BT72ncndzwNnj4uLih3ZsnrR8QunU80Ra+UNTOGzpoJUjnXp07Nhx5mSPPTfWVQ1tMkRI+PlNA3pp7969R7oN8L6/u6bvksZV+usozZrMsWPHrt22r7A0++NFPh42U/bJpcnrfE+NmyXwEMnnPOrav/P1W6kCq/SaEll5CW5pK9/AdOGqqmqmePNJkB/eWUL+ZfrTOs0WFzUJIYSUqXe7fecu07B3yxNrQkiZofPt2yGxqZnMeWOblTidnDLjTiQlJS1Y+UfpnFAiKf+xJiFXPuXsnzsdJo8bffrshXXn7lYsjCAiEoSQekIIm7n98oIG5raNq5elpKT0HT6+YMB67rzdhEYjXG5O6r3I/kOD/U5ZtnIF/VeAIASAr6egIKDbUFRUdNmi+csWzWcwGLxp8o1ZWVmlPo4sKyt79eqVurp643MFMTGx8OCrgUHXzgf5poW/0lDXGODQY8bhB7ydyMnJJUbe3X/42MXrc/Lz38vKyvS27bE2/BbvPNXNZcAZNnv2UlemukmNspE4I5/+9rHXuJF/rl1BCNm4ennevCVBh11Lu43nqhqS8nyF16H69Vm3rl4ghOz9+8+3HlNifSaXWY4nqkakIk/6Zajmu/DQG1doNNqZAzvdvcaWTPT5eBZbUy7vN3P5bE9jY2NzXfWw5zfZpm5NPmRhH5wNvAAAFTNJREFUhlxW9LRpmzcfsCWshpaXGBVTrg/ftuzS8m0Cj6rc+yfdXS2CL0UJnAEjWZah3VGNVsISuC2NzeKy2axWRvayRaXSXr2oN3AQWC3T7X3pkn+9rk2TFOQREa/p7BYSErJ594GKRVGk8RxWIZHKUfuP7O61cLbX8Ekz3nt4E83/X3Ol0bgmzoUqBiOnTHidFCMkJJSTk7Nk7aaY+MR6FkdUiGbdzXzXn2t++n3HEIQA8BMoKCh0796iZ48QGo02zH3oMPehArcSFRVdsmDukgVzBVYHu7m6ugx49epVenq6pqamiclu/hoxNBrt5IFdS1JSbobcSUy+YNhey2mUh6OjI28UpYiISLD/ufDwcP8bockxPu21NV3G9hw5fAOvw7mXne1t30OT584qruUQVQNaeZ5YbemWNb+PHzuaEHLh5CHb/oPfFb6qs/YgsmqktkIoOVQlfPu1S97S0tLzvCZvv/o7Y+Tuxv2uYlHHe+ir9OnTp53k30UZsdxmw47KcqUzwqZO3bz14ElSkU/kmp4XMuukngVO2nzx2KimQ5n+TzEn2mFqv6vHrlcJqsqWpKmbqrBbORPlCIkVFhXVyOkJrFbJ6UZERjE79CEtV3KgC9V0GeTt7V0q3e5jCvKp6DE0usbGxsrKyvYbObFw4Cbugg8L5Oam3o8e4H7z/EkrS0tCSFFR0botO+48iKqpr5cUE3Oyt/1z1VI1NTWB7fmGEIQA8N8hJCRkbGzMu/lGSyYmJiYmgmdoEEIcHR0dHR0FlqysrJJjw6urqzMyMrS0tBrfo0NJSelp9P3dBw5fuTGjsLBIVlbGyd52TUQIb9TJ2uVLyivX++ztwzAbXq9sKFyeq/Dqtk17eX/v44SQy95Hew0clm+/iG0xggiJEC6HlhaufGPFpTOHxMXFT+/fMXrumJKJPkRZ98ObVZcqnJu24ff5HTp06Gagef9JEKtrk18MtLcJqhUZHh6n12/fX1SUSVSaRlpNmWRqyLB1p44u3Fot6GPKFz3v2NtILKpA4Ngh8dpiIsOpldESeIiqpTSTkx9XqZkKrJarmaekpG4/fKpg4rnG81i4xk6FKv6jpo7PeBL7+vXrPkPGFPRZxp6xjgiLElbD22c3bvR2uXf1PP8fNCws7Oa9iOdp6aadjNz6OvTp00fg230pGrf1Ecn/Onfu3Nm+fXtoaCjvYV1dnbCwsLAwwv7zampqxMXFeeMJ4dOqqqr+7WPkfhiBXaMUlJ2d/SAiIinlVUddnV52to3DuLS0dNXGrXfCI6vrG8RFhK0tum5bv0JP70OAPYyJmbZgeWkDjajo08pyJBoqt29YOXKYOyGkvLzc3mVopqZDtcUYoqJPynLFkm+qJ50Nv3FZV1f3cXy824QZRSMPEd3/D2otSFc873Xq79VDB7l1sur1csih5qdu5flap9yfR9/r0L1P8dLYlrdMUd7b5+Da+bN8Hpa5Nx+GQwiRCtkyR6/6UKZU9YBVLasiYQfWGVfvu/+yyONUy6qS/5zrf3hOW7A81XUP0W4apXkpRoGzXyZE19bWugwf94KpUNbZnSjrkeJMhRdXu4iW3w7w++drwyIkAAC+Lx0dnQnjx08QVFJUVDyyZxtp5UeDbc+eqY8iGAxGZmamtra2oqIivyQvL58Yefekt++V4L8y32ZqaWm79rH77XA471eatZVVROD5GYtXvbqSRWRUSFWJlprSwVO7e3TvTgi54n207/Dxha5buJ3/PwHmTZxywILzx/cpKCh4eYw6GLSC4f534+5cyZCtrr0sBw8ePHf1JsKqJ8JiTRrKYUu+uO6x+sSZab8LPtd8GylhYcdQFbzqUIWq2Z07d4oltJqnICFE06RMwSgxMXHjjv1x2kM+rt6naVJm5vYo1tvD67fA86cF7rbtEIQAAL80GRkZgXeqEhERmeXlOcvLU+BWnTp1iggOIIQUFRUpKys3XlOmc+fOj+9eX7Bqw6Pd6xq4dFEat3OnDvuCzvOW/duyflX18jV++5yqOg+uUzIUK8+SSQ0eYGV8cv8eYWHhlQvmbDg/s8Lj6Mcs5LBkLy/yGju8a9eunTVkI5/dYJsNatwS+sswXdEaPT09elyywKbS2Q2FhYUMzW4CqxXqXSMjI2PSshp+a754fX2PyQ8PnsvNzdXSEtxh20YIQgCA/zIVFQFr7ujo6AT4niCEcDicZtdEaDTavm2bl83PiY6OfvbylYmdru2mE/ze2kVzZxHC3bq7F9vQvlJeT7oyW+R1xKyJY/5Y+TshJMD3hL3L0Kx3j6vMhxNVA1KcJfkiSCvj9vVbgbW1tVJbjtSQFS0bI5cZYWDtSCsSPCOTxuVkZr6rMuorsFpt1Dc2NnbEiBFfckiaQxACAFBXayMDtLW1x4wZI3C5vEVzZ8+YOunJkydv3rxp396qW7eN/E5dBQWFpKh7vuf8gu4e+V979x4UVdk/APy7d5ZdwI2LgLCAXBK5KGEwhDJACTIgb1pZZqZZXmu6KMVr1oiV8zrjSNrFMbDecTQqrZ/ABFnExUrgFyCSyH25uriwwMYusLCXs78/zu89sy+7mVDDgT3fz188z3lgv349nO8e9jnP036lY+lSv7TkNc9trRAIBAAQ4u5g5X6xqcRfZEhNTf3XxQyrk3Sceivdw1YZhoRW49TzROPjVv8cOwNYCBFCCM2MSCSKjY2NjY21PMTj8XZsf3bHdoutuAD+5/zZuJRHu3v+d2zFRnBdCkPdosZCr57Swu/yXV1dfYX6odYK0/3x5t/C7vjFi61evXq149XPh61F4jjc6u+/9S/+c7AQIoQQmgvk/eKFL74qKDnbUSrzX7p0/fo1W59+i8/nA0Bh3r9Xr/tHf98G7YqN4OIDI312DfkejRe/vZLv5uYm7H0FRhXTF24dVQh7f42O/ugvBoaFECGE0Bzhcrnbt27ZvnWL5SF3d/ebVRWncz4tKDl0u6/Xy1ua9kjcS2cryKcjzn2cvWnfY8Obc4Haq6u/yfmLnedOZ//1Z+SwECKEEJoXhELhH60clJgQ/+MXOTv3H+xTDJrErqyxIamHW84XOStXWl9zdUZs+QHq48ePX7pkfdl4NM3BgwcrKirojmJh2L1792+//UZ3FAvDk08+2dfXR3cUC8O6devGxqwui4b+38qVK2vKiu/cqnEZ771z69dfS4v+lioItl0IFQrF4OAg3VEsDP39/Zire3T79u3hYasf26Ppenp6RkdH6Y5iYWhvb5+YmKA7igWAxWI1NTWxrO2tMWu2XAgRQgihP4WFECGEEKPZ1GQZgiDUanVdXR3ZVCqVQqGQaqK7UKlUnZ2dmKt7odFo2traHB0d6Q5kAdBqtU1NTVNTU3QHsgAYDIaGhgbz1UTRXdz7xcrLy+tPN3Kyqd0nfvjhh+3bt3t6epJNpVIpEAjwgnUvFAqFg4ODSCSiO5AFQC6Xu7i4kCtloLvr7e318PAgd/VDd9fV1eXj44M7wNwLmUzm7+//5+MAAODxxx//5z+trOtmzqYKIUIIITRT+O4DIYQQo2EhRAghxGhYCBFCCDEaFkKEEEKMhoUQIYQQo2EhRAghxGg29UA9pamp6d13362rq+NyuXFxcVlZWe7u7n/+bbaup6entra2trZWJpMJhcJz585ZjhkcHDxy5Eh5ebnBYIiIiHj77bdDQ0PnPlR66fX6srKyy5cvNzQ0DA4Oent7R0dHZ2RkuLq6mg/T6XQnTpz4+uuvVSpVQEDAyy+/nJaW9kc/04ZlZ2dXVla2t7drNJrFixdHRUVlZGR4e3ubjxkbGzt69GhxcfH4+Pjy5ctff/31NWvW0BXwPJGXl5efn3/fffedOXPGvN9gMJw6derLL78cHh728/Pbt2/fY489RleQNHrqqacIgjDvkUgkn3zyiXmPXC7Pysq6du2a0WhctWrV4cOHg4KCZvNiJpvT0NAgFotdXFz279+/Z88ee3t7qVSqUCjojot+Hh4e5H86h8NxcHCwHKBUKv38/IRC4c6dOw8cOLB48WKRSHT9+vW5D5Ve165dI3/rHnnkkR07dsTExACAl5dXX18fNcZoNKampgLAxo0bDx48GB4eDgC5ubk0hk0XPp8fFha2adOmF154ITExkc1mi8Xi2tpaaoBWq42KiuJwOM8880xmZubSpUs5HE5RURGNMdOuq6tLLBaz2ewlS5ZMO7Rp0yYASEtLe/PNNx944AEAeP/992kJkl4cDsfZ2TnSzLp168wHyOVyT09PsVi8d+/e1157zdnZ2cnJqampaRavZYOFcM2aNUKhsLW1lWyWlJQAwK5du+iNaj746KOPvv/++6GhoaioKKuF8KWXXgKAb7/9lmzKZDKxWBwTEzO3YdKvpaXlzJkzExMTVM+xY8cAYOfOnVTPV199BQCZmZlkU6vVrlixwtHRcWhoaK7DpdvAwIB5Mz8/HwDS09OpnhMnTgDAhx9+SDZHRka8vLykUunU1NScBjpvEASRnJwcHx8fGBg4rRAWFRUBwIsvvkg2dTpdTEyMUCiUy+V0REonDofz3HPP3WXAtm3bWCxWRUUF2bx165ZAIFi7du0sXsvWCmFHRwf5Jt28MzQ01MHBYXJykq6o5hurhVCn00kkkoCAAPPOp59+GgCam5vnMLr5aGpqis/nr1ixgupJSUlhsVjmlyfyD1w5OTl0BDi/ODk5hYeHU82wsDCxWKzVaqmeQ4cOAUBxcTEd0dEvNzdXKBS2t7cHBQVNK4RPPPEEALS1tVE9Fy5cAIDs7Ow5D5Nmdy+E4+PjQqEwIiLCvDM9PZ3FYvX29s70tWxtskxVVRUAJCcnm3cmJydrNJqbN2/SFNTC0NzcrFKpLFMHAJWVlTQFNV8YDAaTyeTk5ET1VFVVhYaGUgvbAkBSUhJgrgA6OjrUajW1Y6parW5sbIyLi7Ozs6PGMPm86u/vf+ONN44cORIQEGB5tKqqys/PLzAwkOph8nml0+lqamoqKip6enqmHbpx44ZWqyWTQ0lOTjaZTNXV1TN9IVsrhF1dXQBAfRhGIq9W3d3dtIS0UNwldeQhJjt58qRer9+8eTPZVKlUv//+O+aKMj4+funSpfPnzx8+fDg+Pn758uXvvfceeai7u9tk9vk0icm52rdvn1QqffXVVy0P6XQ6uVw+LVeurq58Pp+Zufr888+joqISEhJ8fX2jo6MbGhqoQ1avV2RzFrmytVmjY2NjADBtKxNnZ2cAUKvV9MS0QGg0GrBIHdlkeOoqKyuzsrIeeuihXbt2kT1WcyUQCEQiETNzNTAwQE7xAABPT89jx45Rs0bJXEkkEvPxjD2vzp8/X1RUVF1dbXVHjrGxMZPJZLkTk0QiYWCuNm7cmJqa6u/vPzo6WlxcnJOTk5CQcP36dV9fX/i7L/W2dkfI4XAAQKfTmXdOTk4CAO4Fc3dcLhcsUkfuJMfk1N28eTM9Pd3d3T0vL4/aIsdqrgBAr9czM1e+vr4jIyNyubysrCw8PHz9+vWnTp0iD5G50uv15uOZeV4plcoDBw7s378/MjLS6oA/Oq+mpqaYlisAuHjx4rZt21avXp2amvrxxx+fPHlSpVKRE6/gDy71sz6vbK0Qkm8QhoeHzTtHRkbA4r0DmobMD5krCsNT19LSsnbtWjs7u/Lych8fH6p/0aJFLBZrWq7UarVOp2NmrthstkQi8fT0TEhIKCwsXLZs2VtvvUUWP/yVpBw6dMhgMKSlpdX9x+TkpF6vr6ura2trAwCxWMzn86edV0ajUa1WMy1Xlp5//nkul0t9/vf3Xq9s7U+jwcHBANDa2mre2dLSAgDLli2jJ6YFgswPmSsK2SSzyjTt7e0PP/wwi8UqLS2dtguovb29j48P+YgOi8UiO/E0I/F4vAcffLClpUUul/v6+vr5+dnZ2U37lWxubgbmnVcKhUKlUsXFxU3rX7VqVWJiYmlpKZvNDgoKkslkBoOBvDsEgNbWVoIg8Lzi8Xg8Ho+6BbzL9WoWubK1O8K4uDiBQFBQUED16PX64uLigICAe9/RmJmkUmlwcPCVK1fIPy+QCgoK+Hx+QkICjYHRoqenJykpSa/Xl5SU3H///ZYDkpKS7ty5U1NTQ/UUFhaCxYxlBiIIoqGhgcfjubi4AACXy01MTKytrZXL5dQYZubqnXfeKflvXl5eLi4uJSUlx48fJ8ckJSWpVKqffvqJ+i5m5spSeXm5Vqul3jwFBwd7e3sXFRUZjUZqTEFBgUgkio2NnfFPn+nzFvMf+VT4Bx98QBCETqd75ZVXAOD06dN0x0W/zs5Ocom1kJAQe3t78mvzhRhyc3MBYO/evVNTUwRBkA/G7dmzh8aYaXH79m0fHx8ej/fZZ5/Vmrlx4wY1prGxkcvlxsTEkE/QV1dXOzo6hoWFGY1G+gKnQUlJSXZ2dnd3t8FgIAiira3t2WefBYDNmzdTY3788UcASE9PJyeDFBUV8Xg8cqY7w1k+RyiTyQQCQUREBLkYVn19vbOzs7+/v06noylGely4cOHcuXN37twxmUwTExPffPONp6cnm82+evUqNSY7OxsAMjIy9Ho9QRDkx4cZGRmzeDkbLITj4+PkHYybm9uiRYsAYMeOHQRB0B0X/ajZ/+ZWrlxJDSAIYvfu3QDg5OTk5uYGAHFxcRqNhsaYaXH58mWr7xrd3NzMh3366ad8Pl8gEEilUhaL5e3tPbvlnRY08nFvAOByuXw+n/x6/fr1o6Oj5sOOHj3KZrNFItGSJUsAICQkpL+/n66Y5w/LQmgymfLy8uzs7Ph8vlQqZbPZHh4e9fX1tIRHo8zMTPJcEggE5KcPIpHo7Nmz5mOMRuOWLVsAQCKRkOsAJycnm6/bcO9YJpNpxneR8x5BEFeuXKmpqeFyufHx8bO5U7ZFjY2NCoViWqeDg0N0dLR5T3V1dVlZmV6vj4yMTElJIWdnMYpSqTR/YonC5/OnfcDT2dlZWFg4PDwcGBi4YcMGBweHuYpxHpHJZL/88gu5nIevr29kZGRISIjlsMbGxu+++06j0YSEhDz66KMCgWDuQ51vKisrjUaj5frjvb29BQUFAwMD/v7+GzZsIN/QM8rU1FRNTU19fb1SqeRwOAEBASkpKVZnwfz8889Xr141Go3R0dFJSUnU1O4Zsc1CiBBCCN0jW5ssgxBCCM0IFkKEEEKMhoUQIYQQo2EhRAghxGhYCBFCCDEaFkKEEEKMhoUQIYQQo2EhRAghxGhYCBFCCDEaFkKEEEKM9n+jgLO1zADimQAAAABJRU5ErkJggg==", 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tendency of the data and not overfit to the noise." ] }, { "cell_type": "code", "execution_count": 5, "id": "7e728377-34c8-425d-a29e-35f1c71a9b96", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "cond(V) = 3.2551691693055997\n" ] }, { "data": { "image/png": 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"cell_type": "markdown", "id": "0c26a2e7-3965-4323-a038-d4bf475b4ed4", "metadata": {}, "source": [ "## Probability distributions and simulation\n", "\n", "To interpert real data, we need a model for noise.\n", "We've used the most common and convenient choice when creating the data above; the `randn` function draws from the \"standard normal\" or \"Gaussian\" distribution.\n", "\n", "$$ p \\left( t \\right) = \\frac{1}{\\sqrt{2 \\pi}} e^{- t^2 / 2} $$" ] }, { "cell_type": "code", "execution_count": 6, "id": "9b1bd49d-309f-4b16-a303-3140e5ff7564", "metadata": {}, "outputs": [ { "data": { "image/png": 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"execute_result" } ], "source": [ "# Let's plot some data from the distribution\n", "stdnormal(t) = exp(-t^2/2.) / sqrt(2*pi)\n", "n = 100\n", "w = randn(n)\n", "histogram(w, bins=40, normalize=:density, xlims=(-4, 4), label=\"samples\")\n", "plot!(t -> n*stdnormal(t), label=\"true\")" ] }, { "cell_type": "markdown", "id": "f96eb29e-7f39-41a0-925e-e73b1d0d76cf", "metadata": {}, "source": [ "## Regression with noisy data\n", "\n", "Let's fit multiple curves to some different noisy data." ] }, { "cell_type": "code", "execution_count": 9, "id": "da6654c2-220d-4e30-9f5a-377aeaa4c569", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "cond(V) = 3.473045048110251\n" ] }, { "data": { "image/png": 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"f320d47a-ae64-425a-a544-378a2ce9d322", "metadata": {}, "source": [ "## Bias-variance tradeoff\n", "\n", "The expected error in our approximation $\\hat{f} \\left( x \\right)$ of noisy data $y = f \\left( x \\right) + \\epsilon$ (with $\\epsilon \\approx \\mathcal{N} \\left( 0, \\sigma \\right)$) can be decomposed as\n", "\n", "$$ E \\left[ \\left( \\hat{f} \\left( x \\right) - y \\right)^2 \\right] = \\sigma^2 + \\left( \\underbrace{ E \\left[ \\hat{f} \\left( x \\right) \\right] - f \\left( x \\right)}_{\\text{Bias}} \\right)^2 + \\underbrace{E \\left[ \\hat{f} \\left( x \\right)^2 \\right] - E \\left[ \\hat{f} \\left( x \\right) \\right]^2}_{\\text{Variance}} $$\n", "\n", "The $\\sigma^2$ term in irreducible error (purely due to observation noise), but bias and variance can be controlled by model selection.\n", "More complex models are more capable of expressing the underlying function $f \\left( x \\right)$, and thus are more capable of reducing bias.\n", "However, they are also more affected by noise, thereby increasing variance." ] }, { "cell_type": "markdown", "id": "934502cd-d70a-4e9a-a069-d55f0ac64b1e", "metadata": {}, "source": [ "## Changing polynomial degree\n", "\n", "What happens as the increase polynomial degree?" ] }, { "cell_type": "code", "execution_count": 10, "id": "e1eb4716-e6c9-488e-b458-d6123d3374a1", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(size(ytrain), size(yfit)) = ((500,), (500,))\n" ] }, { "data": { "image/png": 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"scatter!(x, ytrain, markersize=2, label=\"data\")" ] }, { "cell_type": "markdown", "id": "ec76be13-84da-40e0-8cb5-35486dbcbd61", "metadata": {}, "source": [ "Let's make some data and charts that you'll try to interpret." ] }, { "cell_type": "code", "execution_count": 12, "id": "c796fe77-5a43-42a6-88a5-7ce84e5f2a1a", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "norm(yfit - ytrain) = 6.067561231676799\n", "norm(yfit - ytest) = 5.8712087587556185\n" ] } ], "source": [ "ytest = runge_noisy(x, 0.25)\n", "@show norm(yfit - ytrain)\n", "@show norm(yfit - ytest);" ] }, { "cell_type": "code", "execution_count": 18, "id": "4d8e6096-8269-438b-8987-906aa8682972", "metadata": {}, "outputs": [ { "data": { "image/png": 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"execution_count": 15, "id": "e48e8174-5d4a-4545-a72b-af902de9e5d3", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "size(res) = (10, 2)\n" ] }, { "data": { "image/png": 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MESVI/H2UeVyJIksq9Akya1AAYDACdy+Pd780bwxcJU+prDFgJyws7NKlS0VFRU5OTvWc6+rqOnTo0KFDh7Zt2/aDDz6IjY3t3bs3t36TSoV1AgzMSmuEnjbkY8fE21S3NqCbEAAMy9fXl4i4d/60Zs6cKZPJ3nrrrdLSUm1hdnb233//TUTFxcUnTpxgdfo48/LyiKhZs2ZE5OPjw+Pxrly5wpqvE7RJstJESA/PL4OJ1gDAoDp37ty9e/ePP/7Yx8cnKCjo888/J6IRI0YsWLBgz549QUFBgwcPHj16dNeuXVu2bPnzzz8TkUwm69evn7+//+DBgydNmtSjR4/ly5dzr1sQkUQiefPNN3fu3NmsWbOgoKAJEyaY+Rs2FVbaNEpEoW7MFqxBAQBGwzDM6dOnjx07lpycXFlZ2aVLF678008/feWVV7Zv33737t3y8vKwsLBZs2YNHDiQiLy8vI4cOfLnn39KpdKcnJyQkJB58+YNGjSI+XcJ1Q0bNowePfrmzZsVFRUBAQF13hseh/UmwjB3ZomoRRnPxk5TQUSasmJ1UQHfyc3ccQFA0yEUCl9++eWHy8PCwsLCwh4uFwgEgwYNGjRoUF0XZBimT58+ffrUNzYVHpc1N42ShphESUttCSqFAABWyHoToZct09yGEnRbR9FNCABgfaw3ERJRqDuDGUcBAKycVSfCMCxMCABg9aw6EYa6MwmSAPbf4VjKvAxWqTBvSAAADcrMzFy9evX06dOnTp3a6N4pzMvLmzZt2qlTp8wdSDXrToRuTCnPJkPoWbWv0ShzUs0aEQBAA6RSabt27T777LNr165JpQZox1qwYMHu3bvrP+bq1avz5s1LSkp6+ts9ePBg3bp13CTjFsKqE2FLe8ZDUmthQrSOAoBF++GHH0pKSq5evXrmzJno6GjtK4ZPbMWKFUePHq3/mPj4+GXLlqWlpT3lvYjI09NzxYoVvXr1evpLGYr1vkfI6ezGxEsC+xf/w+1ivAwAWLjU1FQ7Oztu/rbGyMXFZfbs2eaOogZrT4Rh7sxVTLQG0BRdzr56Ne+mWqM2ze28HZq/4N9bIhBzu+vXr9+0adPOnTuXLl26f//+8vLyiIiI1atXR0REaE/RaDT/+9//vv/++8TERD6f36NHj88//7xr167cp2fPnp0xY8ayZcsuXbq0YcOGlJSUpUuX7tu3TyqVyuVybiGnkSNHfvjhh0R0+/bthQsX/vHHHzKZzNfXd/z48Z988onuWoZXr1799NNPT548KZPJmjdvzk3exufzhw4dqlAojh49yl3Q2dn5xInaawt/8803K1euJKK3337bwcGBiMaNGzdjxow9e/YsW7Zs8+bN27Zt27ZtW05OzsmTJ59//vnly5cfOHDg9u3bhYWFnp6eQ4YM+fLLL93cqqYrSUtLGz58+KxZs8aMGUNE//zzz/vvv//FF1/cunVrzZo1GRkZwcHBM2bMePvtt43y56SPEROhWq2OiYm5c+cOy7KtW7fu27evQNDw7c6fP3/hwgWGYXr27BkaGmq88Dih7swOvEEB0OR8e+WHXQkHTHzTvYlHvnlxmZ3QloiysrJiY2NfffVVT0/PVatW5efnr1q1qm/fvv/880/79lVLNU2cOHHr1q0jRoyYMWNGeXn5d99917t37zNnznDJsqioKDY29sMPP3zw4MHrr7/u4uISGBg4YsSIHTt2JCYmcsvWd+7cmYiuXr3au3dvW1vb2bNn+/r6nj9/nssrv/76K3ejM2fOvPTSS87Ozu+++26bNm2ys7OPHDly586dLl26jBgx4tq1a35+ftwFbWxsHv5eHTp06Nq1a3Jycq9evYKCgoioY8eORJSXlxcbGztp0iSVSvXee+8JhUJ3d3ci+u6771566aWxY8c6ODhcuHDhhx9+uHLlysWLF/l8PhFVVFRcunQpO7tqtcji4uLY2NiPPvqoqKho6tSpEolk8+bN77zzjo+PT1RUlFH/vLSMlQivXbs2atSoxMREbiESuVweHBz8yy+/1JPbVCrV66+/vmvXLhsbG5Zl5XL5W2+9tX79+qdvAa9HqDuTJmxWyre1V5cTkaa8RC3L5zu7G++OAGBsmSXZuxMOmv6+ybLUX+8ce739cG2Ji4vL8ePHuTrA4MGDO3bsOH/+/EOHDhHRkSNHtm7dunjx4k8++YQ7+I033mjXrt2HH354+vRp7RVycnJu3rzp4uKiLYmLi0tOTp47d662ZMqUKRKJJC4ujlukYsKECa1atZozZ86pU6eef/55lUo1adIkoVB48eJFHx8f7pS5c+dqNBoejzd37tyFCxc+88wzuhes5bnnnsvIyPjll1/GjBnz/PPPP3zAhQsXtAsLE1FiYqJQKOS2x48fHx4ePmnSpD/++OOll16q6xYFBQXXrl2zt7cnojFjxgQEBPz8888mS4TGGiwzduzYe/fu7dy5s7y8vLy8fNeuXcnJya+99lo9I32/+OKLXbt2cb8XyGSyadOmbdy48ZtvvjFShJwAB8ZFwiSKMdEaQNORVpzJknleKkgvztDdnTlzprYlLCQk5KWXXjp+/Di3Bu/27dsFAoFub5mTk9PIkSP//vvvsrIybeGUKVN0s+DDEhMTL1++/MYbb3BZkDN58mQiOn78OBFduHBBKpVydSzdE3k8w/z8nz59um4WJCIuCxYUFNy4cSM2Npa77+XLl+u5yJQpU7gsSETNmzdv3769QQbEPiKj1Aizs7Pj4+MHDhw4evRormTkyJE7duw4ePBgZmZmrT8MjkKhWLVqVXBw8KeffspVAVetWrV3796vvvrqvffeM16lkKkaLxMQVn6bK1FmSiUhEfWfBQCWLNDZj8fwNKzG9Ldu5RKou9uuXTvd3ZCQkCNHjqSnp7du3TohIYHH49UaPJmTk6NWq3NzcwMDq64THBxc/x1v375NRL/88kutvj0ej5eVlUVEiYmJ9G8jqjE8HOGWLVs+/vjj9PR03cKioqJ6LuLv76+76+rqapBXNR6RURKho6Mjj8er1SMoFAoZhqlrUeYLFy7IZLLJkydrc55AIBg8ePDGjRtv3br1zDPPGCNODvdavXYX3YQAjV0zO4+3Oo3fELfFxPXCDh4hLwcP0C2p9WOQ21Wr1USkUqns7e25nrlanJ2dtdu2trb131SpVBJR165da3U8jRgxgkvDXDvcowzReDK1IoyOjn7jjTeioqJ27NgREBBga2srk8kCAwPrf/Gf6z40F6M8Gjs7u3Hjxu3cuTM6Orpfv35EFBMTc/jw4ddff50bcfSwhIQEIgoJCdEt5LqU4+PjjZsI3ZiVOgNHFWgaBWj8xoQMi/AKvZJzXalRmuB2Er6kub3nf7zCeEyN9sakpKRWrVrp7vJ4PK5VzM/PLzExcdq0aQ2muvpxdanAwMC6Ovm4A7iKo14MwzQ4Pc2jN8vt27ePx+Pt2LFD+9P+3r17j3iuuRjrd4Tvv/8+ICAgKirK3d2dYZi8vLx58+YtWLCgruPz8/OJiBtxpMUNty0sLKzrLLVardsaEBQU9AQrVXJL1WuI4RFLRKr7mayikhGJH/c6AGBRgpz9g5z9zRvD5s2b+/fvz23n5eUdPnw4MjKSyxCvvvrqsWPHVq5c+fHHH+uewo1hefRbdO7cOSAgYPPmzbNnz671I5S7VGRkpKen57fffjtjxgxtP5wuDw+Pen7Mcjw9PYmooKCgwXi44HUzq7GHejw9YyXCs2fPbtq0yc3N7cUXX2QY5vfff9+8efNzzz33wgsv6D1epVIRke5bL0QkFouJSKHQP/+nRqNRKBRLly7VlgwaNGjq1KmPG2oLPvHFknRRMz9FDnfdImmCwKdVQ+c1VmVlZUYdiGs98CQNxVBPkmtytChnz5595513Xn/99fz8/AULFlRWVi5ZsoT7aPz48du2bVu0aFFqauqrr77q6uqamZl55syZe/fuNTjPiy4+n//dd99FRUVFRETMnz//mWeeqaioSExM3LFjx4IFC/r37y+RSNasWfPaa6916dLlo48+at26dW5u7tGjR19//fUePXoQUWRk5K+//jp//vyAgACJRDJ+/PiH7/Lss8/a2dktWrQoPT3dzs7u2Wef1b7vWEu/fv2+++67MWPGzJ8/X61W//zzz4aaVpRl2fLy8tLS0sc6SyKRNNgsbJREeP/+/VdeeaVly5Znz57lfvcpLS3t2bPnsGHD7t69qzu0SYv7PeXBgwe6hdyu3l9hiIjH49nY2Jw8efLpA+7sroqXBFQlQiKhLNeubaenv6xlYlm2rkcKjwVP0lAM9STN28+k165du/7v//5v/fr1ROTp6blz587evXtzHwkEgqNHjy5cuPD777/fvHkzV9iuXTvtb/NCodDFxaVW9YCI7OzsdDsRiah///6nTp368MMPtXNw29ra9u/fX9sqO2bMGBsbm3nz5o0bN44r6dix4/Tp07ntlStXikSiAwcO5Obmurm56U2E7u7ue/bs+eqrr1auXFleXj5t2rSuXbtKJBIXF5daj33o0KGLFi364osvjh07RkSRkZFHjhzp1auX9g1FPp/v7OysHWiq92va29s/PKCEYRhbW1uj/KNjjWDHjh1EtG7dOt3CDRs2ENHPP/+s95R9+/YR0erVq3ULFy9eTEQxMTF6TykuLnZwcDBIwLPOq2Z9/lP6jP7cfw/2fWuQy1qm4uJic4fQROBJGoqhnuSYMWN27NhhkEs9Pa7BMzs7m2XZzMzM27dvK5VKvUeqVKrk5OSEhITS0tKnvGlhYWFCQkJWVpZardZ7QGZmZkJCQmFh4VPeqEGVlZWJiYm5ubkGvGZYWNjly5cNeEEto9QIS0pK6KFBStybJcXFxXpPiYiIYBjmxIkTM2fO1BaeOHFCKBSaZn6ZbZLqQc94lRAADMjLy6ueT/l8fq2XB56Yi4tL/S8denl51R+MoYhEotatW5vgRgZhlBfqudS1bds2bZO9Wq3eunUrEYWFhXElFy9eXLx4cWxsLLfr4+Pz/PPPc1OycSVxcXHnzp17+eWXazUCGCXgWkvVZyZTY1viCwAAnoxRaoTh4eEjRozYs2dPaGjoyy+/zDDMoUOHrl69OmzYMG3/6j///LNo0aLmzZtrU+Pq1asjIyN79eo1efJklUr1/fffOzs7f/nll8aIsJa2TozM1rN6orWKUrXsPt/Fs8ETAQD0Cg8Pf+utt57y1QgwDWNNsbZjx47Vq1e7uLj8+OOPP/zwg6Oj4+rVq3/55RftAQEBAQMHDvTz89OWdOzY8dy5c127dt28efPWrVv79u17/vx5boJXY+Mx1NGNlyD215agdRQAnsaQIUM2bNjg6Oho7kCgYcZ6fUIgEMycOVO3w6+WwYMHDx48uFZhhw4dDhww9YTxHO5twi7l8dyuIitZ0v4/ZokEAKBBSqUyOztbpVJpJ2ODJ2bVK9TrCnWrOdEaFiYEAIukUqkmT55sa2vr5+cXFBTEPvWAhuTk5Ly8vPqPKS0tlUql3HThBqFQKKRSaV3DJ00MibBKWO3xMkiEAGCJtmzZsnnz5kWLFl28ePHy5ctPPxdBu3bt5syZU/8xhw4dCgoK+ueff57yXloJCQlBQUHcIEqzs/YV6rVCXJg0e7/qidbys1iFnBFJGjwRAMCULl26JBKJ/vvf/2JiI0NBIqzCZyjI3SZV1CJAkUVExLLKnFRRyzbmjgsAnpyyVKWuNMViTDwBI3QQMLzqzHTr1q34+PjBgwcnJCQcOnSouLi4W7duw4YNqzWPqEwm27dvX3x8vEgkioyMHDRokDa9ZWdn//333927d+fz+b/88ktqampUVFRhYeGNGzf4fP7evXuJqFWrVtr1lc6fPx8dHS2Tyby9vUeNGvXwgnd//fXXyZMni4qKPD09e/bs2a1bt/Ly8t9++02j0aSkpOzZs4eIxGLxkCFDap148+bNCxcuENGZM2e4eaHbtGnDLVJPRGlpafv3709LS3NwcBgwYEC3bt10z5VKpRfqAvEAACAASURBVAcPHuQmZmvZsuULL7wQEBCQlpYWHR1NRHFxcdx9W7Rowc33ZhZIhNVC3ZgEiX9VIiRSZkqRCAEaqdKMijs7MspzKk12R4GE3/IlT6+ebtzurl27Pv3004ULFy5durR169YFBQWrVq0aMGDAgQMHuFmUiejkyZMjRowoKSlp1aqVXC7/8ssv+/bte+jQIe6li7i4uJEjR86fP3/9+vUqlcrR0dHZ2Xnr1q15eXmVlZXz5s0jonHjxnXu3LmysnLChAm7du1yd3f39va+d+/exx9/vGPHjldeeaXqaZSWjho16tixYw4ODkFBQTk5OfPnz//9999bt249b948lUp15coV7oIuLi4PJ8Ljx49zY/43btzIzZQ2ZcoULhFu2LBhxowZfD6/VatWubm5S5Ysee+999atW8eduG3btokTJzo4OLRp06akpCQlJYV7OyAuLm7t2rVEdOjQodOnTxNR7969zZgI0UdYrfZr9ViYEKBx0ig08ZtSTZkFiUglV0t/zX5wu8aU0N988825c+du3ryZnZ29YMGC48ePL1++nPsoIyNj2LBh/v7+d+7ciY+Pl0qlO3fuPHny5MKFC3WvsGLFipUrVxYVFWVkZMybNy8pKWnQoEF2dnZJSUlJSUmLFi0ioo8++mjXrl1r167Nzc29evVqampqeHj4uHHjcnKq5k9+9913jx07tmLFCplMFhcXl52dffny5datW/v7+yclJYlEomHDhnEX1LuO/AcffLB69Woi2r59O3cYlzVPnz797rvvRkVFZWZmXrt2LSsr67///e8333zDzbLJndijR4+srKzz58/fvHnz/v37X331FRG9/PLLR44cIaKFCxdyF9TOtmoWSITVwtyZeBudidYwXgagcSpOKVcUq8xy64LrNdZhnzVrVnh4OLe9ePHi4ODg7777jtv99ttvi4qKfvrpJ+38aqNHj37llVd++OEHjaa6OffVV1+dOHEi116qrUrqKi4u/vbbb4cOHTp9+nSu3dXNzW3dunWlpaVcNS49PX379u39+/efPXu2tmE2LCzs6ed1W7ZsmaOj408//cTN/8Xj8ZYsWRIYGLhp0yYiUigU9+/fDwkJ0c6vbWNjY8ZqXz3QNFqtvQuTZOuv3VVkJRPLErqjARobntBsv+LXurXuwnM8Hq9v377r16/PyMjw8fH5888/7ezsbt++rbtkrkAgKCwszM7O9vb25kp69epV/x0vXbpUUVHh6OjIdbZxNBoNn8+/desWEZ0/f16j0QwdOvTpv10tf/31V0BAwG+//aZb6Obmxt1XJBL16tVrw4YNDx48GDx48PPPP9+8eXODx2AQSITVRDxy9fQsvmPvqC4lIlZepnqQJ3DVs2gUAFgyBz8be29JaabcxPdl+EyzrjXmvK616hy3K5PJfHx8CgoKlEol18aoKzAwsLKyulGXWxG3HtxiucePH//rr790y/38/Li+RplMRg1N/P0E5HJ5WVlZamrqw1/Bw8OD29i9e/eCBQv27t27c+dOHo/XvXv31atXa6vIlgOJsIZQD95tsV9E+S1uV5kpRSIEaHQYHtN+qn/Kkdzi5DLWFINGiYjELkK/AZ52XjXeucrLy9OdSPL+/ftExK205+TkZG9vf+/evfrfgmjwHQluFrf58+fPmDFD7wHc7bKzsx/pazwysVgsFou7dOkSExNT1zHu7u7r16//5ptvrl69euzYsdWrVw8YMODu3bv1L5FhekiENXR2Y+JtAqoTYVayTYdu9Z8CABZIaC8IHu1t7ijo9OnTXbp04bZZlj116lTz5s25Fxu6d+9+4cKFc+fORUZGPs0tunTpIhQKDx8+XFci7NatG4/HO3LkyFtvvaX3AFtbW906aF3HEJFCodCWMAzTrVu3ixcv5uXl1V9t5fP5YWFhYWFhLi4u06ZNu3btWu/evbkLNnhf08BgmRrC3JkEib92F1NvA8DTWLly5Y0bN7jtZcuWJSQkTJ06lavkTZs2zd7eftKkSdevX9ceL5VKt2zZ8li3cHNzmzp1akxMzMcff6xNVEqlct++fQkJCUTUsmXLUaNGHT58eP369dr52G7fvp2WlsZtBwQEXL58uf5Z1rgZTf/44w+lUqktnDdvXllZ2dixY7OysrSFly9fPnz4MBHl5+f/+OOP5eXlXLlGo+HW3eMu5ePjIxQKT58+rT3AnIyx2q9pGHCFei25ig1fd1O7VH3Gp5MMe31LgHXVDQVP0lCa8Ar1c+fOFYvFERER3E//3r17l5eXa4+Jjo52d3fn8/mtW7fu0aOHr68vj8fr1asX9+nRo0eJaP/+/bWuPGrUqFo/+ioqKkaPHk1ELi4u3bp169ixo729PRHFxMRwB8hksueff56IPDw8IiMjg4ODGYb5/fffuU/37NnDjUe1t7dv1apVXd+IG27D4/FcXFw++eQTrvC7774Ti8Uikahjx47/+c9/uE7QGTNmsCyblJRERLa2th07duzTp4+Pjw/DMIsWLdJe8KOPPuJ+J3B2dh45cmSDj7SRrVDfeIn5xDQLUN/j8VkNEWkKstjKCkZsY+64AKBRmjlzZlRU1MGDB8vLyyMiIl577TWBoPqn7gsvvJCUlLRnz57r16+rVKoXX3wxIiKCy1hE1KFDhw0bNmgnjtGaMmVK//79dUskEsnOnTtnzpz5+++/Z2ZmOjk5BQQEvPTSS9oXJJycnGJiYo4fP37q1Kni4uJmzZo999xzvXv35j4dPnx4jx49rly5kpOToxteLfv3779y5YpUKi0sLHz22We5wrfffjsqKmrfvn13797l8/mvvPJKr169IiIiiCggIOD69et//vlnUlJSZWVlnz59hgwZ0qFDB+0FP/vss/Hjx9++fTsnJ8fX1/dJnq+BMGyjXYq9pKTE29vb4JOXv/mnesKRKYH/zi/jOXONyL+tYW9hXiUlJQ4ODuaOoinAkzQUQz3JsWPHDh48eMyYMU9/qaf3ySeffPrpp9nZ2Rb7zkCjEx4evmHDBu1a7gaEPsLaQt2ZeBvd+WXQTQgA0JQhEdb20ERrSIQAAE0ZEmFtz7oyd22rE2FFBmYcBYDHNn/+/MLCwgZfhwdLgERYm62AKj1q1ggbbTcqAJiLjY2Ni4tLrUWXwDLhD0kPX+9mRXx7bpunqFAV5pg3HgAAMB4kQj24hQm1u1iPCQCgCUMi1CPUnUnQHS+D9ZgAAJouJEI9OrvVSIQYLwMA0IQhEephL6Ryd51EiBohAEDThUSon7Ovv5qpejgCWY5GbgHTwgIAgBFgrlH9OjQTJ4u8WlVmEBGxrCo7RRQQYu6gAKABycnJ3BIH0PQYb50KJEL9uPEyVYmQSJmVjEQIYOE6duy4d+/e/fv3mzsQs9FoNE34zUU7OzsjTVCARKhfqBtzQOI/uOgvbrc8Q2pn3oAAoCHz5s2bN2+euaMwJ0wE/2Sa7O8OT8lJRIWugdrdkjSMlwEAaJqQCOtk61OdCHm5yZhoDQCgSUIirFOgj8cDgSO3LVDJVQWYaA0AoAlCIqxTqDtzW+yn3cV6TAAATRISYZ3Cai5MKM/E/DIAAE0QEmGdXMWU51zdTViYghohAEAThERYH6FXdY1Qk41ECADQBCER1qeZv7+K+Ny2pCQXE60BADQ9xnqhPjMzs7Ky8uFyZ2dnV1dXvaeUlJTcv3+/VqGLi4uLi4vh43s0nZuJkiVewfJ0ImJYVpWdLApob65gAADAGIxVIxw8eHCQPuvWravrlN27dz98/Ndff22kCB9FuDsTL8Z6TAAATZmxaoTLli2TyWS6JUuXLr169erQoUPrP/Hzzz8PDg7W7rZvb84amLuEshwDqOhPbvd+itSppxnDAQAAwzNWIuzXr5/urkwmmzBhQpcuXTp06FD/iX369PnPf/5jpKieANsikNKrtiuxMCEAQJNjosEy27Ztq6iomDRpkmluZ0AuLavfoLC9n4KJ1gAAmhgTrT7xww8/2NjYjB49usEjly9fXlZWJhQKu3TpMnnyZC8vLxOEV492Ld0LBE5uqiIiEqrlqvwsgYe3eUMCAAADMkWN8Pr163FxccOHD3d2dq7/SIFAkJiYKJfLr1+/vnDhwpCQkNOnT9dzPMuyUh1FRUWGjJuIiELd6bbYX7srR+soAEDTYooa4caNG4mowXbRF198MTs7293dndvdtWvXuHHjRo8enZSUZGenZzVAjUZTXl7et29fbcm4cePmzJljuMCJiByIUh38I8uucbsZiYneQZ0MewsTKy0tNXcITQSepKHgSRoKnuTDJBKJUCis/xijJ0K5XL5jx46AgIBevXrVf6Svr6/u7qhRo86fP7927dqYmJghQ4Y8fDyPx7Ozs0tONvorDUrPQPp35Ql5TnoTWPeyCXwFC4EnaSh4koaCJ/kEjN40+uuvvz548ODNN99kGOZxz42IiCCi1NRUI8T1GBx8q8fLiPLwKiEAQJNi9ES4efNmHo83fvz4Jzg3IyODiBrsWTQ2v6CWKqaq6uxQfl9TgcYHAICmw7iJMCUl5dSpUwMGDKjV7ElESqVy06ZNhw8f1pbk5+frHpCTk/P1118LhcLevXsbNcgGdfYUJYmrRooyLFuZlWLWcAAAwJCM20f4448/ajQavcNkKioqpkyZ0q1bt8GDB3MlISEhXbt2ffbZZ93c3JKSkrZv3y6TyRYvXvxwEjWxlvbM73b+beRVLbTZSUmBQc+YNyQAADAU4ybCGzdu9OzZU5vqdPH5/I4dO+rOpjZy5Mjo6Ojff/9dqVQKhcKIiIjp06ePHDnSqBE+ojK3QCo4w20XpCYH1n80AAA0HsZNhPv376/rIzs7u2vXrumWaOfjLioqcnJyMmpgj0viHUB3qrZ5WJgQAKAJscT1CC0tCxJRi6DqSqCLLIU0GjMGAwAABmSJidACdfBzy+dXDV4VaRTK/CzzxgMAAIaCRPhIAhyYe7b+2t3MJLSOAgA0EUiEj4QhkrlVr9CbK0UiBABoIpAIHxW/RXUiVGQhEQIANBHVo0ZLSkpyc3MbPKFVq1bGjMdyufsF0vmqbceCFHOGAgAAhlOdCPfu3fsoC+ey1roybZvWfkpGIGRVROQmz1OXl/Jt7c0dFAAAPK3qRNinT5+9e/eaMRQLF+wqPC32Dv53fpnMJGnLDh3NGxIAADy96kTo5+fn5+dnxlAsHEOU5xIYnF2VCNORCAEAmgQMlnkM6mbV42UqMjBeBgCgKahzirW7d+/u27dPKpXKZDLd8t27dxs/Kgvl1DKQrlZt29zHwoQAAE2B/kR49OjRV1991cbGhsfjicViHo+XmZlpb2/fpk0bE8dnUVq1CdJuNy9JJY2GeKhSAwA0bvp/js+ZM6dPnz7Z2dlDhgyZNGlSRkbGlStXfHx8Jk6caOL4LEqwl0uBwIXbFmsUGWkZ5o0HAACenp5EWFFRkZiY+N///lcikRCRUqkkos6dO2/atGnu3LllZWWmjtFi8BjKdKruJky+i25CAIBGT08iLCkp0Wg0np6eROTi4lJYWMiVh4aGlpWV3blz5+FTrEelR3UiLEpFIgQAaPT0JEJ3d3cbG5v09HQiCgwMPHXqlEKhIKKLFy+SRa6RZEq2PtXrMQlyMV4GAKDR05MIeTxe7969Dx8+TERjx47Nzc3t0qXL2LFjhwwZEh4e7u/vb+oYLYlvUHWN0LMIiRAAoNHTP1jm+++/nzp1KhG5uroeP37c39//5s2bQ4cOPXDgAM+6x0m2Dm6pZKqG2noq8nMKis0bDwAAPCX9r094e3t7e3tz25GRkQcPHjRhSBZNIBBk2vv6l1TVBe/cljaP7GTekAAA4GlYdfXuyZS4VXcT3k9B6ygAQOOmv0Y4ZcqUoqIivR9Z88wyHKFXAKX8u5ODgaMAAI2b/kSYmpqqfWuCiMrKypKSksRisZXPLMNpERhI56q2nQtRIwQAaNz0J8I//vijVkl6evqIESPGjx9v/JAsXVDroPx/twPKU++Xqz1s+eYMCAAAnsKj9hH6+vquWbPmgw8+KCkpMWpAlk/i6PRA5Mpti1hl/F1MtAYA0Ig9xmAZf3//ioqKe/fuGS+axqLQxV+7nSVFNyEAQCP2GIlw+/btROTj42O0YBqPFtUDRxWZ6CYEAGjEHmnUqFKpvHv37q1bt4YNG+bh4WGq2CyXm1+AdmFC+3zUCAEAGrFHGjUqEonat28/a9YsDJbhBLQOevDvtn+ZtLCSXMXmjAcAAJ7Yo44aBV12LXxzeSKRRkFEzZSFN9JlvVo5mzsoAAB4EphZ5onw+AWO1X2lqUnoJgQAaKyqa4QpKSmXLl1q8IQRI0YYM55GQ+UZSLKq3sGy9CSizuaNBwAAnkx1Ijx16tSkSZMaPIFlWWPG02g4tAygf5coFuWhRggA0FhVN40OHz486V+HDx/28PCYPn36mTNn7ty58/fff3/00Ufu7u7btm0zY6wWpWWrIO22d0lykcKMsQAAwJOrrhE6ODg4ODhw2yNHjpw7d+7s2bO53eDg4MjIyPbt28+ZM2fUqFECgf4hNlbF3jdQuxRha3n61TxlLx+hOQMCAIAnomewTEFBQWxs7KBBg2qVR0VFZWZmxsfHmyQwS8ezcyyxceO2RazyXnK6eeMBAIAnoycR8ng8hmFu3rxZq/zGjRtEhOqgVplbgHZblorX6gEAGiU9Wc3FxaVPnz7vvPOORqN55ZVXRCKRSqWKjo5+7733QkJC2rVr1+BF1Wp1cXGx3o8cHR35/PrWaigpKblx4wbDMJ06dbKxsXnEr2EWEt8gyrjMbTM5GC8DANAo6X+PcMuWLX5+fqNGjbKxsfHw8LCxsRk4cKBAINi/fz/DMA1e9ObNm651SE1NrefEVatWNW/ePDIysnv37s2bN9+8efMTfi2T8AqsrhE2lyWXKs0YCwAAPCH97Zze3t4XLlw4fvz4tWvXMjIymjdv3qFDh0GDBolEoke5aIsWLb788kvdkvLy8iVLlrRt2zYwMLCus3bs2DF79uyoqKjFixerVKr58+dPmTKlRYsWAwcOfKyvZDIOvoHl/263ladcK2QjmzX8WwIAAFgUxjTvBW7ZsuWNN95Yvnz5Bx98oPcAlmWDgoLKy8ulUqmtrS0RyWSyli1btmrV6sqVK3pPKSkp8fb2rqsN1hQ0muQ5rwjVVW9OHBu3460wV7MF88hKSkq0w4PhaeBJGgqepKHgST4ZE02x9sMPPwgEgtdff72uA65du5acnDx48GAuCxKRs7PzgAED4uLiUlJSTBPkY+PxSl38tHt5KegmBABofKoT4bZt2+zt7VeuXElEgYGB9nV4gntIpdK//vorKiqqefPmdR1z7do1IoqIiNAt7Nq1KxFdv379CW5qGvwW1d2EqkwMHAUAaHyq+wi5hZa4VDR16tTS0lJD3eP7779nWbb++dtycnKIyN3dXbfQzc1N+5FeLMs+eKBdEIns7OwesRfTUDwDAuU3qrZdHiSXq8gWb5cAADQq1T+2O3fu3Llz1czRc+fONdQNVCrV1q1bmzdvPmDAgHoOk8vlRFSrxuno6EhEFRUVek/RaDTl5eW6o28mTZq0ePFiAwT9yATu1XXcdvLki5nl4W4aUwbwBMrKyh5l6C80CE/SUPAkDQVP8mESiaTB198fqf6iVqtzcnJatGjB4z12n+Lx48ezsrLmzZsnFNY3Axn3ymBRUZFuoUwmIyI7Ozu9p/B4PDs7O90aoelpWrXXVpyD5em/lwp6+5m0SvoEWJZ9siZuqAVP0lDwJA0FT/LJ6E9sS5Ys2bBhA7edkJAQGBjo4+Pj6+t7+fLlx70B9y7ghAkT6j/M29ubiPLz83ULuV0vL6/HvanJ8Gwdyu2qmnOFrCoDE60BADQ2ehKhRqNZsWKFp6cntzt79my1Wr1+/fo2bdpMnjz5sV63yMvLO3r0aM+ePdu2bVv/kVyr7NmzZ3ULz549y00x8+h3ND1Ns+q22fIMjJcBAGhk9CTCBw8elJSUcFOpFRcXx8TEfPTRR1OnTv3++++vXbuWmZn56FffunWrUqnUO0wmLS3t+PHjGRkZ3G5ISEhISMjRo0e55lAiysnJOXHiRPfu3S25RkhELn7VA0cdC5Ir1WaMBQAAHpv+GiH9O7n2yZMnFQpF//79icjX15fqHcP5sB9//NHe3n748OEPf3TgwIGXXnrp6NGj2pJly5bJZLKBAwceOXKE+1ShUHzxxReP+Y1MzaFldY2wtTzl5gMsXAwA0JjoSYTu7u5OTk7Hjh0jop9//jk4OJgbmZmVlUVELi4uj3jpK1euZGdnT5gwQW/nrY2NjZubm+602lFRUdu3b09LSxs8ePDQoUNlMtn+/ft79uz5BN/KlERe1YkwpFx6JR+JEACgMdEzapRhmJkzZ/7f//3f8uXLMzIy1qxZw5WfPn3awcGhZcuWj3jp0NDQwsLCuj6dMmXKlClTahWOGTNm1KhR6enpPB7Px8enUYwDFnh4qwRigaqSiNzVssTMQmrr3uBZAABgIfS/PrFo0aK2bdtevnw5PDx81KhRXGFOTs6sWbPqfwvi6fF4PD8/v4aPsxw8ntLNT5B7h9srSpMSIRECADQadb5HOHr06NGjR+uWzJs3z/jxNEr2LQPU/yZCyf1kpSZCaKI5XAEA4GnVmQgrKyuPHDly69atsrKyZcuWEdHFixcdHR0bfBHCCjn4BsouVW0HlyfHy9hnXRtBoy4AAFBdiTAtLe3FF19MTEx0dHR0cHDgEuG+ffvOnDnzzz//mDbCRkCoO16mIjk2H4kQAKDR0N+EN2XKFIZhbt68efDgQW3h8OHDL168qH3PD7SE3gHsv+N6Wikyr+VhrXoAgEZDTyIsLS09ceLE6tWr27dvrztus1WrVizLpqdjFrHaeDb2SnsPblvAqvJS08wbDwAAPDo9ibC4uFij0Tz8moRCoSAilUplirgaG5F39fwyvFypytKXoAAAgCp6EqGHh4eDg8O5c+dqlR8/flwoFLZq1cokgTUyjr7V3YRB5SmJRXitHgCgcdAzWEYoFI4fP37+/Pmenp7cpDBKpfLgwYOzZ88ePXq0g4ODyYNsBITe1YmwXUVybD7b3gXjZQAAGgH9o0a/+uqre/fuvfzyy9yMo46OjnK5vGvXrmvXrjVteI2G0Ku6aTSkMvnHAnZ8sBnDAQCAR6U/Edra2v72229//PHHH3/8kZ2d7ebm9txzzw0bNozP55s4vsZC4OGtEUp4SjkRuamKpJkFRJ7mDgoAABqmJxEWFBT0799/+fLl/fv359adgIYxDM/TjzITuT1VllTDevLQOAoAYPH0DJZhGCY2NlYikZg+mkbNTmc9Jv/SlLvFGC8DANAI6EmErq6unTt3/uuvv0wfTaNWq5swFusxAQA0Bvr7CNesWfPaa6/x+fzBgwd7eHjofvTo6xFamxoDR+Upv+WzY4PMGA4AADwS/Ylw5MiRubm5H3zwwQcffFDrI5ZFRUc/oVcAMQyxLBEFyTNu5FYS2Zo7KAAAaID+RLh8+fKKigoTh9LY8SR25ORJslwiEpC6OCudpTYYLgMAYOH0J8Jx48aZOI6mwcYnoEKWy237liZLi1sHOSIVAgBYNCwga0i1ugkxXgYAwPIhERpSjYGjFclXCpAIAQAsHRKhIdVYobcy+QpqhAAAFg+J0JAE7l6syIbbdlEVp2ejSggAYOmQCA2KYcReftq9FsXS1BKkQgAAi4ZEaGA1WkfRTQgAYPGQCA1MNxG2k6egmxAAwMIhERqYyLvGjKOoEQIAWDgkQgMTegUSU/USfWBl5s28SvPGAwAA9UMiNDBGbCNwbcZt81mNsywtowyVQgAAy4VEaHg1xsvI8TYhAIBFQyI0vFoTraGbEADAkiERGl6NidbkyVfyzRgLAAA0AInQ8Gq9QYGptwEALBkSoeEJ3JrzJFVL8jqrS9ii/Bys7QgAYKmQCI2AYQTNqydaC5FLMV4GAMBiIREahe54mRB5MlpHAQAsFhKhUYgw0RoAQCNhikR4//59qVRaWlpqgntZCN2Bo+3kmGgNAMByGTcRHjp0qEOHDp6enkFBQY6OjqGhocXFxXUdvG3bNteHfPXVV0aN0EiEXgHaidYCFFn3i+X35eaNCAAA9BMY79KbNm166623OnTo8PXXX3t4eGRkZBw9elShUNR1fGVl5YMHD8aNG+fl5aUtDAsLM16ExsOIbQRuzVX52UTEZzWtK9PiCtq96M2YOy4AAKjNWIlQKpVOnz49MjLyxIkTYrGYK/zggw8aPPHdd9/9z3/+Y6SoTEnoFcglQqp6m7AtEiEAgAUyVtPo+vXrKyoqVqxYoc2C1uah+WXQTQgAYImMVSOMjo62t7cPCwv79ddf4+Li7O3t+/Xr17lz5wZPPHr06NGjRyUSSXh4eL9+/Xi8xjquteaMo8k/IRECAFgkYyXCxMREf3//F1544cyZM15eXnl5eXPnzp02bdrXX39d/4mfffaZRCKRy+VE1LFjxwMHDgQEBNR/imWqWSNMSSnWFFaSq5VWjwEALJdREqFKpaqoqEhISNBoNHfv3m3VqlVhYeHo0aP/97//denSZdy4cXrP6tSp0/Hjx3v27Glra5uVlbVixYrVq1e/8sorV65c4fP5Dx+v0WjKyspcXFy0JZMmTVq8eLExvtGTENkzYhu2soKIHNWlLVT55zKcezfTmDssKisrYxj0VhoAnqSh4EkaCp7kwyQSiUDQQKZjWNYoTXZCoVClUh0+fDgqKoorSU9P9/Pz692798mTJx/xIqNGjdq9e/fJkyeff/75hz8tKSnx8vJKS0vTljg7O1vUX4K8tbMVybe47Ul+H/fr221OR/O39JaUlDg4OJg7iqYAT9JQ8CQNBU/yyRjr53Lz5s2JqEuXLtoSX19fLy+vu3fvPvpFBg4cSEQJCQl1HcAwjIsOi8qCx87p1AAAIABJREFURCTyrm4dbYvX6gEALJKxEiE3LqaiosayCxUVFSKR6NEvwk1GIxQKDRubyWCpegAAy2esRPjqq68S0bFjx7Ql58+fLyws7Nq1K7er0Whu3LghlUrruoJSqfzxxx+JqPG+VlgjEVYk3y1ii+qcTgAAAMzDWKNGx44du2rVqnnz5gkEgueee+727dszZ84Ui8Uffvghd0BpaWnHjh27det27tw5riQiImLw4MGdOnVyc3NLSkr6+uuvY2NjR40a1aFDByMFaWxCL39iGGJZIvJXZNto5FcLBL1aWFb7LQCAlTNWIhQKhceOHRs3btzUqVO5Ej8/v4MHD3bq1KmuU/h8/sKFC7WDd+zs7GbNmrV06VIjRWgCjEgicPdS3c8kIh6xrSvTrhS0QyIEALAoRpxr1Nvb++TJk1KpNDU11c3NrX379rpvQTg6OlZUVOi+L8+1nUqlUplM5urqGhISIpFIjBeeaQi9ArhESFXdhG3NGw8AANRixETICQwMDAwM1PvRw3mOW3HC2CGZktArsOLa39x2O3nKToyXAQCwMOZ/ra1pq7FUfUXy7SK2VGnGcAAAoDYkQuOquUJvCqthrxWiUggAYEGQCI1L4OLJs7Hnth00Zd6q+3ibEADAoiARGhnDCFv4a/fayVMwvwwAgEVBIjS6mt2E0ljUCAEALAkSodHVWqE3/gFbrjJjOAAAUAMSodHVXKE3Rc3SDYyXAQCwGEiERidsEUD/zhvgp8i201SgmxAAwHIgERodIxQJ3Fpw2zxi28jTMHAUAMByIBGaQo3xMvJkjJcBALAcSISmULObMPnWA7ZSbcZwAACgGhKhKYhqzi+j0NDNB6gUAgBYBCRCU9BdobedPJlhWbSOAgBYCCRCU+C7ePJsqyZas9dU+Cpz4zBwFADAMiARmkit2bdRIwQAsBBIhCai2zoaIpdeL2SVGjOGAwAAVZAITaRmN2FKpZriZagUAgCYHxKhidSacZSI0DoKAGAJkAhNRNjCXzvRWktlrr26HPPLAABYAiRCE2GEIoGHd9U2y7atTEUiBACwBEiEpiOq2U14rZBVYbwMAIC5IRGaTs03KJLLVZRYhEohAICZIRGaTq2ptwnjZQAALAASoenUeoOCRywWJgQAMDskQtPhO7vz7By5bVuN3FeRi/EyAABmh0RoUsIW/trtEHlyXAGrQSoEADArJEKTqrkwYUqpku5gvAwAgFkhEZpUzfllpESEbkIAAPNCIjSpmlNvJxMRugkBAMwLidCkhC38icfntn2UeZhoDQDA7JAITYoRCIWe1ROttatMuVLAIhMCAJgREqGp1XqbsEhBScVIhQAAZoNEaGoPr8eE1lEAADNCIjS1mm9QJBMGjgIAmBUSoanpNo22lafyiEWNEADAjEyRCFUqlVqtNt7xjQvfyY1n78Rt22rkfors2HyMlwEAMBsjJkK1Wv2///2vffv2IpFIJBIFBwevWrWq/lNOnTrVtWtXsVgsFot79Ohx4cIF44VnRsIWNboJCysptQSpEADAPIyVCDUazWuvvTZ9+nRPT8+lS5d+9tlnERERly5dqueUc+fODRgwQCaTffPNN2vWrMnIyOjbt++NGzeMFKEZ1ZpojdBNCABgPgIjXXfjxo27du365JNPFi9erC1k620C/L//+z+hUHjq1CkvLy8iGjBgQEhIyIcffvjbb78ZKUhzqTFwtEJKRFfy2WH+ZosHAMCaGaVGyLLsV1995e/v/8knn+iWMwxT1ylSqfTChQsDBgzgsiARtWrVqlevXtHR0fn5+cYI0oxEXqgRAgBYCqMkwtu3bycnJ/fv31+hUBw4cGDjxo2//fZbZWVlPadcvnyZiHr37q1b+Pzzz6vV6itXrhgjSDMSNG/J8Kvq4t6q+47q0sv3kQgBAMzDKE2j8fHxRKRSqdq1a5eamsrj8TQajZ+f3/79+0NDQ/WekpaWRkSenp66hdxuenq6MYI0I0YgFHj6KLNTiIhh2baVqRf57TPKWB+7OmvMAABgJEZJhMXFxUT0448/Dh069Pz5866urr/++uubb745ZMiQO3fu2NraPnxKeXk5ETk7O+sWuri4EFFpaaneu2g0mrKysoCA6v62cePGzZkzx4BfxIg8fCg7hdsMqUi+aNv+bHr5QG+NCe5c1/OEx4UnaSh4koaCJ/kwiUQiFArrP8YoiZC7q6ur608//WRvb09Eo0ePvnHjxtKlSw8dOjR69Oi6TuHSoVZZWRkRSSQSvXfh8Xi2trYxMTHaEnd3dwcHB8N9D2Pya1N0/W9uk+smTCiXjHLgm+bmjeYpWTw8SUPBkzQUPMknYJQ+Qg8PDyLq3LkzlwU5zz33HBHdunVL7ylcK2hhYaFuIbfLXU0vhmECdTg6OhoifFN4eMbRWMwvAwBgDkZJhB06dGAYptbLEhqNhoh4PP13fOaZZ4jo6tWruoVxcXFE1L59e2MEaV66rxK2lafwWc2VpjY2FgCgcTBKIvTy8goPD4+NjS0qKtIWnjx5kog6derE7VZWVj548EChUHC74eHhzZo1O3jwoEql4krkcvmxY8dat27dpk0bYwRpXnxHV559VYeohFX4K7KzytmcCvMGBQBgjYw1s8yiRYtkMtnYsWPv3Lkjk8k2bdq0bt26du3aRUVFcQds2LDB1dX1xx9/5Hb5fP78+fPT0tLefvvt+/fvZ2dnT5w4MT8//6OPPjJShGan2zpa9TYhWkcBAEzOWDPLDBw4cN26dbNnz9bW50JDQ/fs2VPP6J3p06enpKSsXbt28+bNRMTn8xcuXDh+/HgjRWh2Iu/Ayjtx3HaIPPmIU2RsPjvQF29QAACYVO2ePMMqLCz8+++/ZTJZ69atIyIidDsIi4qK8vPzPTw8ao1wSU1N/eeff3g8Xvfu3b29veu5eElJibe3N/eqRmNUfulE4fYV3PYJh4iJfh+/4sf7tZ/RB46WlJRgXJlB4EkaCp6koeBJPhlj1Qg5rq6uQ4YM0fuRk5OTk5PTw+V+fn5+fn5GjcpCCL2wQi8AgPlhYV6zqTHRmvK+k7o0rZS9LzdvUAAAVgeJ0GwYvkDg6aPdxXgZAACzQCI0J923CUPQOgoAYA5IhOakp5sQNUIAANNCIjSnmhOtpRASIQCAySERmpPIJ0i73Vqeymc1ySVsYX3rNgIAgIEhEZoTz96Z7+DCbUtYRYAiiyWKQzchAIAJIRGame54GXQTAgCYHhKhmT28HhMGjgIAmBISoZnVHDiaQqgRAgCYlnGnWIMG1awRSonobhEb+qvK246a2zC1/u8pYQT41QUAwKCQCM1M0MyX4QtYtYqIWigLXNXFhXzHuAI2roCIalcNeQw1s9GTIJEmAQCeGBKhmTF8gaB5S2WmlNttW5Fyzr5jXQdrWMoup+zyBtKkly21sK39/2Y2SJMAAHpYSyKMSfnz3oNkc0ehn9yLUTJVqy95ivcFCK4/+bUUJFOQrIjiH/qEYchWQPYCsuVrHMV8ewHZCclBSHYCxl5IdgLiYSXEx6RQKEQikbmjaArwJA3lyZ4kq1ISy1ZtEDECISMQEGO5vzgLeII+fj0CnA22TpFx1yM0qkdfj/DAnWOrL603QUgAAGACNgLJtiHr3W1cDXI1y835BnQt75a5QwAAAIOpUMnvFkoNdTWrSIQ9ff/DEBr+AACaCFeJU3uPNoa6mlX0Efbx6+lp6xGff1vFqs0di34l0Ts18gpu2773ML6Ds8FvoWapTMkWKelBubKcFZYo2WIFlSipWEklCrZU9dDYG5MTMCTikUTASPgk5pGIT2I+Sfgk4ZOYz4j5JOKRDZ/EfOK2xXyy4TNivtl6NysrK8VisXnuXQ+WZZUKVlnJKipZZaV2Q6NU1CphFZXUaHtGwIAYgZD7V8QIRETEqhSsUmnJfzds1RShVNm/xJCBepatIhES0TMebZ/xaGvuKOqU/+cVeXIst+0qDLIN6W28e5WUlDg4ONQqVGkot4LNLKeccj3/z60wf5qsh42AHIRkL2BcxOQgJAchYy8kFzF52TIt7amlHeNrTz52jMjQzR96n6SRsGqVpqxE8//tnXtUlNX6x5/9vnOfYRiGi1wFL6hpqRlIal4oIU0tT1hWiqGezG56SlvVyn7HVsu0NFPLzOyY2qnELLNlhunxoIYXUPPS0ZbGCAxXB2aAud/e/ftjw8s0jIg6MODszzLWvr3vPLOZ+M6z32c/22LEViNnMZIyZzFyFlNzoaWlc0yi+AeEGKkcAAAxjEQOAMCyjFgKACAQIqEYAJBQjIRCAGBEEhAIAYARS4FhAYCRygEhAGCkCgCwORwyVTgAAMMwEhkAACNAYgmQEBhR890EIgBAYglirykB2O3CdhtnNWKHHdtt2GHlrCZst3EOO7ZbOKsZO2zYYeNsFmy3YruNc9iw1czZraS9w+aLx+AouSAZONwv9woWIeziCON62/5oEkJn5RUYNq6TDRAwECdHcXIAX2vIXjJZawOjEzc4mrxJoxNMLqi3Q6MTm5xg63Sv2+oCqwuuAgYjafCh2gggWgYJcpSgQAlySFSgeDkkyFFPBYqWBWzdHDts3kpm9lY1UsB2a4BsDF4YiQwYBokkiBUioRAJxcCwSCxFCCGpHAAYibx5gAAJRUgoAoZlxFJAiMgSksgQwyCRBPgB5CrEAAAjU/jdZs5olPrpyxliBUimuGkjOYupSSntVmw1cw4bdtiwzcLZLC0KarNgh7eCtvObHBJLhXF9rj+ufVAh7BJ45pfh9xR2HdqWSS+cHBidUO/ARicYHWB0gsmFDXYwOsHoxCYnGJ1gsIPJ1TKADHZyHfgWMDRtwSzUecukiIE4eZM6Et8xQY4SFZCgQKpbXnjBLqe7oY5rrHM36N0Nde6GWnej3l1f6zYa3PW1AZc3JBIzspC//lMwshBGruTLiDgWAOBycX/9po+tf/mbxdlt4Ha19HJubLP8ZYDNArjl14ydDux0AB/0jznur+OxzYw5j4+Fy8k5PE8pw9hqbql5q5QMGLZJpYgzdD2VQgyLxDJATd4V5VZgZAq4WRH1UFCLDwW1mgEh2bBxbGi4v6ylQtgl8Mw46qzsckJ4QwgZUItBLfaUzPZ6XFYXGBzYYAeDHWxusLqbygYHtrnB6vJR1tvBfms+qIODK0Z8xQitXUkJC7Ey1FsJMVIUK4feIShGBrEy1C8UhQibB3Gc22hwN9QRheOMerdB5zbWu+t17kY9Z77+9h6/w0jkjDyEkSmbVE0WwshCkDyEkYUwUgUjb5E9JBBe/3YdT2cuMlO6PkgkQSIJo/B/qMS1oELYJRBExSOBkOxmdTfUVS+by4aEsaoIRqlmVRFsiIpVRZIWJJIE2tgORCoAqQDFyviGdimoxdXkbvKrtSYX6KxQZsblZtCacKkJqq2Yu/HnnDY3aIxYY4RwV32kuz7WoYt0GWKctVGu+kSuNtZliHTpQ+wGBnekM0tgmL94bD7/NUsdMEERDU6h+AsqhF2CpkRr5cWk6tJVuHQVvkeKpawqklWGsaHhrFLNhkawSjXTVA4nDyGCDZkAZALoIeVV04d8OjnQ2XCVBTRGXGmGKivWNILGiCstuNoCGEDBWaOdtT1c+miHPsqlj3bV9XDqo1yGGJcuylkvws6OsBwJRU1eGi9jshDUWurkIU1hFBQKpQOgQthVECcN5IWwDbDd6qopc9WU+exlZApWGc6GhjNKdZNSqiJ457KNCLHbHiEDMUJnFKq7E+s5Z53bUuc217lNene9ztlY7zbokLND4txcwNYKQquEkTqh6qoo0qkI4xThwtBweXiEOlIdGaaMkECYCFRiFCaiWe4olMAQvH8ZuxrKCTNcdVV2zf9uJYCCs5g4i8lZXeqzl1Go2BAVVoS51JGsKoIJCWNDI1hlGKuKZENUJBq724AxZzUD5jibGTiOs1mAc2O7lcR8Y7eTs5o5j7CUth/X3aIA1QrCrgpVVYKIq4KwaiH5qa4RhtcIwmoFYVzr2zcANABoAMDl2SxhIUwMYSIUJr5OQS1Gkm7166JQujJBkWu0e4GdDndjnbtBzzXqm0Iwmqp1LoOu4+IMGZmCVaoZZTgbqmaVTWutjFLNhqoFYVG3IpMkOBA77djlaC47wOXATjt2OrHT3tTY0mvHLo/2VuM5q4lEG3YaSChilU2zwSrVSBlulISVcYpaaXQx26PELi41gdaMtSas64QNVAAAIBVAmAipRECkUUU0stm5VDWrpkoEYWKP0J4uCQ2W8Rd0Jm8O6hF2OZBQJAiPEYTH+OzlzI3uRr27oY5r1Lsaarmm6ESDu76WMxqw2+XzqvZAvEmo9rXoyrBsiIp/Kkni6bHNgjGHrebmnxhbTRhj7OWodROQUEQeuHrEKIWxqoimtyzyziATChDq64+O3Q0VlpbHkJWWpgeTfzbiBr9qt9UFVheubJng63yjbb+7GSlBQhptQwkmqEd4W8FZTO7GuhZXsumnnmvUu+t1tyKTtweMTCEIj2l5gKpUs6FqRtlUJhk62s+Nfvs22EFrxmUmKDPhcjPWmqHKgg0OMNih3oEN9uvfodMIFUGYGKlEECaCMDFi/zoxQgYUvlxMCQtSX1+t5QLfaX2UIiB3ttlsEklLOHSYr7x1LAKl0McvSMSCXAAAECGBSAmSBfd3e+oR3hzB/am57WBIJohoX8d0YUy2u5lrykUOq4dM1nKNerexviunFvQJI1UAAkYa0rQDGiEkkSOGadooLVWwIS2xtYxSzYaoblTq/EuYGMLEaLAarvVQ0nMbZduFW9892TYNDmhw8J+HTvhgCAH88354xzdWDjHSJh83VoZiZE2NHZFsj9LdCQqP0GlyXd5eYSy1dMJ2r64Pxhj51AOMyT+MOQAMHAbMAcaYtN8KqOk/UuB/QEuBPx0EtQzmx3o2thQCH2F5zZnsnFcnvzH+JwDGwHk1enRReBACBgAhQAAMaql6/uymBPYz2WmwYiZ6pDphfKS/bhgUHqF2v05/wRhoK7oRrb4w++v/rFvyMTrTQelmoOZfEY0kvUWwvzxTSkfisrpL99aE9VcoEqR+uWFQrBG4HdQTpFAolNsKt91vf9iDQgjj74+QhAdjyhUKhUK5LYkcpgrt47d0S0HxjJDgstI1DwAAk8mkUNDk+n6AzqS/6MyZxAC1Nqiz4To7XLVinQ30Nqyzg84GtTZcawOdFTd0SEK9DoE/IEUhRAIEHMdJhYyUBQBgEIQ09yqFiDg9MgGIWAAAEQMyIQAAAghtDsdVCEHMQpQUJcghVoZCu6r7gFjE+jXkKSieERIEUvoABQCAdTF0KvwCnUl/0ckzGSMF37t0m3FwoLNinQ2qraCz4Vob1FjxVSvobFhng2oL6GzY0jX2Ihl5M5oKDPghpQPxjrBCCD3lqCc5m0yBesohQYHi5dBTjnzuk+m+dNS7OXjw4PLly70ap0+f/ve///1al+Tl5X3wwQdejbNmzcrOzva/fRQKhXINRC0HcMK1QsXMLtBZMa+U1dYm7dTZcLUFSKFDj9jsBExOuFCPL9RD6wi1CEnLyZ3xchTffJxnrKxbZmPoKCGsrq4+cODAsGHD1Gp1Oy+pqKg4cOBAampqaGhoB1lFoVAofkEuAHkISgqBNoKqDXaoseJaW9PJJ0YnODgwuzAAYAz1zZmGGp3g5gAArG5scwMAuDgwNi/P1juadr+YXZiE/dndEHB/tNYGtTZ8ps5bIBkE0VLUUwEJzeoYL4cEBUqQo2iZ38LP/U7H+rcrV668//77b+iSdevW3XvvvR1kD4VCoXQaJIUCAPhvB9Jf4DA0tKgpdmMwm82MWN5aTQ3N6RFMTnD+VU05aEme0OgAiwvKzbjcDGVmbL1xueUwVFpwpQWOt3IiiZ/d5DvKIV6OeipQggIS5EjtK5dQZ3J7LfRSKBRK0MCglnR0RHGNgENCfIruzSixwd6SLJcvaBpBa76ZVV8HB1eM+IoRjrTSSDELcTIUI4NYGeqthN4hTeW+yk4K2OlYIdRqtXv27JFKpXfddVdUVFR7LikpKamtrZXJZIMHD46IiOhQ8ygUCoVyLYhHOygMvHSUw1BtxaWmJt+x1IS1Jig3Y6256ZjrG8XuBo0Ra4zQ+mGkWkx8R0iQIxKqk6hAvUIgQe5PJ7tjhTAnJ4cUGIaZMWPGxx9/rFQq277kySefbLJMIJg1a9a6devkcno2N4VCoXQVGASxMhQrg9aOpoNrUcdyM2hNmCSaLzdj/U2lldfbQW/H5/TgpZGTe6IfMgSsn9Swo/YRHjx48NChQ2PHjg0PDy8pKVm3bt3BgwczMzP37dt3rUvy8vIKCwtHjx6tVquLi4vXrFlz5MiRqVOn7tq1y+f4hoaGiIiI0aNH8y2TJk169tln/f9mbi/o7jd/QWfSX9CZ9BddeSYtLtBaULkFVVqR1gxaM6q0ogoL0lrQzcX+/DjOmR59/SVaiUQiEFzH5eukDfUcxz3wwAP5+fkFBQUjR45szyUul2vMmDHHjh377bffhg4d2nqA0WiMjo7evXs339K3b9+kpCR/2Xy7Qg9q8Rd0Jv0FnUl/0U1nUm8n51q3nFBGHMoKM24jP+ZvfxMMDfePS9hJwTIMw+Tk5OTn5xcVFbVTCAUCQXZ29rFjxwoLC30KIQCwLDt+/Hi/WkqhUCiUTkUtBrUYDWl1QhkGqLY0qWPLcqsZG53w7ADGXyoInRk1KhaLAcDpvIHkReSsTpcr0FtmKBQKhdLpIIAYGcTIUFoHb0HsvBwAZA1z0KBBHXoJhUKhUCg3REcJ4Ysvvvjzzz9XVVW53e7i4uIFCxZs3779zjvvzMjIIAOMRqNMJvPcbj9//vxffvmlurra7XZfvnz52Wef3b17d0pKimc4DOUWqa6ufvvttwNtxe1ATU3NP//5z0BbcTtw9erV//u//wu0FbcDtbW1b731VqCt6JZ01NLo7t27169f79mSmpqam5vLR+9gjK1Wq83WkiB2586dGzdu9Lxk1KhR27dvZ5humLquq1JVVbV///5AW3E7QJIIBtqK24Gamhr6mfQLNTU1v/zyS6Ct6JZ0lBBeuHDh2LFjf/75p9FoVCgUKSkpaWlpngPkcnl+fr5nWlGNRnP06NHi4mKTyaRUKlNTU1NSUjrIPAqFQqFQCB0lhCEhIZmZmZmZmdcawLLs2LFjPVuUSuWECRM6yB4KhUKhUHxCVx0pFAqFEtzgbovFYrluvgAKhUKhBDOLFi26rpp0UmYZCoVCoVC6JnRplEKhUChBDRVCCoVCoQQ1VAgpFAqFEtRQIaRQKBRKUEOFkEKhUChBDRVCCoVCoQQ1dB/e7UljY+Pp06fPnj1rs9kyMjKGDRvWesyZM2c2b95cVlYWFRU1Y8YMr0Q/FADgOK6goCAvL0+j0SCEkpOTH3/88dbHoRgMhk8//fTkyZMikWjcuHFz5swRCoUBMbjLYjAYfv7555MnT1ZWVjqdzqSkpEcffXTUqFFew+rq6jZu3Hjy5EmJRJKenj579my6V7htcnNzS0pKBg0aNHnyZM92l8u1devW//znP1ar9Z577pk/f35ERESgjOwGdPzGd0pn89lnn3lmKv/4449bjyEJ0KOioiZPnpyUlIQQWrlyZeeb2sWZOXMmAAgEgv79+995550sywoEgo0bN3qOKS8vT0xMFAqFGRkZI0aMAIAxY8ZYrdZA2dw1+fbbbwFArVYPGTJk6NChMpkMAJ5++mmO4/gxZWVlCQkJQqEwMzOTpCZOT0+32WwBNLuLc/z4cZZlAWDmzJme7Q6Hg5xYnpqa+uCDD4pEori4uCtXrgTIzG4AFcLbkN27dy9atOjrr79evXq1TyHU6XRKpXLgwIEGgwFjbLPZxo8fz7Ls77//Hgh7uy5vvfXWpk2bLBYLqZ49ezYyMlIkEmm1Wn7M1KlTWZbNz88n1Y8++ggA3nnnnQCY24UpLS09d+4cL3s6nW7MmDEA8NNPP/FjJk2aJBAIjhw5Qqrk07t8+fIAmNsdsNlsAwcOnDRpUmshXLlypefUHT9+XCQSPfjgg4Ews3tAhfB25rvvvvMphGvWrAGAL774gm85cuQIACxYsKBT7euGLFu2DAD+/e9/k2pFRQVCaOLEifwAjuPi4+NjY2M9fR1Ka8ix28uWLSPV0tJShNDDDz/MD3C73dHR0fHx8XQmffLGG29ER0efP3++tRD27t1brVY7nU6+Zdq0aQBw6dKlTjeze0CDZYKRQ4cOAcBDDz3Et4wYMUKtVufn5wfMpm6CUqkEAH7l+dChQxhj8q2cgBCaMGFCZWXlpUuXAmNiN6GqqgoAevfuTapkJj0/kwzDTJgwoby8XKPRBMbELsyZM2dWrVq1fv36sLAwry6tVqvRaDIzMz0fr5IniIcPH+5UK7sP9EF0MHL58mWpVBoVFcW3sCybkJBA/3a3jcvl2rZtm0wmS09PJy2XL18GgKSkJM9hpHr58uX+/ft3toldm6qqqsrKSofDcfLkyX/+85+jR4/OysoiXW3M5J9//tmnT5/OtrUL43K55s6d++CDDz766KMVFRVevW3PZCeZ2N2gQhiMNDQ0hIeHezWGh4dbrVaHwyESiQJiVdfn7bffLioqWrVqVXR0NGlpaGgAAK/JJOF5pIviyebNm5csWULKEydO/Oqrr/jwWp8zSap0Jr1YtmzZn3/++eOPP/rspTN5E1AhpDSB6TkkbbJ169Z333334Ycf/sc//uHV5TV1pErnszVPPfVUWlpaQ0PD8ePHN2zYMGrUqPz8fM+VCTqT1+XixYvLly9fu3ZtXFyczwE+J43OZNtQIQxGQkNDi4uLvRoNBoNUKqXuoE9yc3Pnzp2bnp6em5tLAtYJoaGhAKDX6z0Hk6pKpepkI7s+vXr16tWrFwBkZWXdd999U6dOXb58+Ycffgh0JtvNnDlzBg8e/NjARHAQAAAOPUlEQVRjjxkMBmh28hwOB/n/VyKRkOmiM3lD0GCZYCQ5OdlqtV69epVvcbvdZWVlffv2DaBVXZZdu3ZlZ2ePGjVq9+7dEonEsys5ORkASkpKPBuvXLkCAHQy22by5MkikaioqIhUfc4kqdKZ9OT3338vKioKDw9Xq9VqtZqkd9ixY4darSa7Jsh0lZaWel5FZ7JtqEcYjIwbN27Xrl179+7NyckhLceOHdPr9dnZ2QG1qyuSl5f35JNPpqSk7NmzRy6Xe/WOHTsWIbR3794XXniBtGCM8/Ly4uLiaKRM29TU1DgcDoVCQar8TD777LOkheO4vLy8xMREPrKUAgDr1q1zOp18tb6+/rXXXktLS5szZ05KSgoA9OzZMzk5ed++fS6Xiw8c/emnnwCAD/KieBOIPRuUTuJa+wh1Ol1ISMigQYP4DfUZGRkMw5w/fz4QZnZd9u3bJ5FI7r77br1ef60xjzzyiEAg8NpQ//bbb3eWjd2DHTt2eGY2qaioyMzMBADPND0PPfSQUCj89ddfSZUsmfIbDSk+KS8vh1b7CN9//30AWLFiBakeP35cLBZnZGQEwsDuARXC25AzZ874/NLz888/82O2b99OUqxNmTIlMTERIfTee+8F0OauybXyr3r+ddZqtSTF2vjx42mKtWsxYcIEhmHi4uLuvffeO+64gwSL5uTkuFwufkxpaWl8fDxJVkdTrLUTn0Jot9u9UqzFxsZqNJpAGdn1QZjGEd12XL169Ysvvmjd/vjjj5NQBQJJul1SUhIdHU2Tbvvk66+/1mq1rdvHjBlDNI9Akm4XFhaKxeL09HSadLs1Go1m3759p0+frqmpUalUvXr1mjBhguccEkjS7aKiIrFY/MADD9Ck29fFaDR+8skn10q6feDAAavVmpKSQpNutw0VQgqFQqEENTRqlEKhUChBDRVCCoVCoQQ1VAgpFAqFEtRQIaRQKBRKUEOFkEKhUChBDRVCCoVCoQQ1VAgpFAqFEtRQIaRQ2otGo/n9998DbYU3DQ0NhYWFVqu1PYMvXrxIDm5tDxaL5dSpU42NjbdgHYXSDaBCSKG0l6VLl06fPj3QVnhz9OjRtLS0dsrb3LlzFy9e3M47X7x4MSUlpbCw8Baso1C6AVQIKZTuTWxs7FNPPRUWFhZoQyiU7grN40ehdG+GDBny1VdfBdoKCqUbQz1CSnCRkZHxzTfffPjhhwMGDIiIiMjMzDx//rzngP3796enp0dGRsbFxWVnZ3sdcEqw2+2TJ0/euHGjZ6NGo8nIyNi/fz8AbNmyZcqUKVqtdtq0adHR0QMHDnzzzTfdbjc/uL6+fuHChb169VKr1cOHD9+2bRvf9ccff2RkZJw4ceLVV19NTEyMjY198cUXHQ5HZWXl9OnTY2JiBg0a9Omnn/LjCwsL77//fo1GQ6p79+7Nysrq27dvVFTU8OHDly1b5nK52jk5er1+7ty50dHR8fHxzz33nNFo9Bpw5MiRiRMn9ujRo0ePHn/7298uXrzo2fvRRx8NGDAgMjIyPT29sLDwmWeeIecBAcCePXsyMjKKi4uffvrpuLi4Bx54AAAwxp9++unw4cPVanVSUtLLL79sMpn4u2GMP//887S0NLVanZiYuGDBAnIaO4XifwJ7+AWF0skAQJ8+fYYMGbJ169Z//etfffv2VavVZWVlpPfHH39kWXbMmDHbtm1bu3Ztjx49YmNja2pqSG92dvbAgQNJecaMGQkJCZ6nCL3++utSqZScXLhkyRKxWHzHHXcsXrz4yy+/nDt3LgB88sknZKTdbk9JSZHJZO+8884333yTlZUFACtXriS9x48fB4A77rgjKytr69atr776KsuyL7zwwqBBg1555ZVt27Y99thjALB//34yfu/evQBw9uxZUn3uuedeeumlLVu27Ny585VXXhGJRAsWLOCNHDFixMMPP+xzZlwu18iRI+Vy+YoVK3bs2DFt2jRyoDn/Qj/++KNAIJg4ceK2bdu2bNmSkpKiVqtLSkpI76pVqwDg6aef3rlz53vvvRcbGxsVFTVr1izSu2HDBgDo37//zJkzN23atGnTJozxSy+9JBQKFy5cuGPHjtWrV0dERIwdO5af0sWLFwsEghdffDE3N3fNmjU9evQYMWKE0+m8iV86hdI2VAgpwQUAhIaG8gftlpWVicXiF154gVT79es3YMAAu91OqmfPnkUILV68mFQ9hfDXX38FgD179pCq0+mMiYmZM2cOqS5ZsgQAPvvsM/51R48enZaWRsqbN28GgNzcXFLlOG7SpElyuby+vh43C+HUqVP5a6dNmwYAH3zwAam6XK74+HheY7yE0IulS5dKJBJeP9oQQnKM8zfffMNbRfw2IoROpzM+Pn7SpEn8eKPRSLxVjLHFYgkNDZ02bRrfu2PHDgDwEsKFCxfyA06ePAkA69ev51uOHDkCAD/99BPG+Pz58wih1atX870nTpwAgO+//96n8RTKrUCXRilBx9SpU/nQkoSEhPHjxx89ehQA9Hr9pUuXZs+eLRKJSO/gwYNHjBixb9++1jcZNWrU3XffvWnTJlL94Ycfqqqq5s2b5znmiSee4MspKSklJSWkfOLECbVaTeQNABBC8+bNM5vNRFxbXztkyBAAII4gALAse9ddd/F3a011dfX333+/bt269957r6yszGazlZWVXXdajh8/rlAo+FdBCM2ePZvvPXXqVHl5+WOPPWZoxul0jh49+tSpUwBw6dKlhoaGmTNn8uOzsrJkMpnXS+Tk5PBl4nxPmTKFv+GgQYPUavXp06dJLwA88sgjfG9ycnJ0dDTppVD8Cw2WoQQdiYmJXlUihFeuXGndm5SU9Msvv/i8zzPPPLNgwYKKioq4uLhNmzYNHjyYnKtOkMvlISEhnlWLxULKV65c6dmzJ8O0fA0lByZXVVXxLVFRUXxZKpUCQI8ePTxbamtrfVq1YsWKpUuXRkZG9uvXT6VS1dXVAUBtbW3v3r19jucpLS2Ni4tjWZZv8ZwKIqWeSkaIi4sDAHJ8cWxsLN/OMIxn1XMwQavVut3unj17eo0hL6TVajHGffr08dlLofgXKoSUoMNrh3hjYyNxEMlh6K17W3s2hOzs7Ndff33z5s0zZ848cODAxx9/3E4DWJb1ehUSBkIE71aoqKh48803lyxZsnTpUoQQAHz33XeHDh1qz7UqlcqnVQSJRAIAu3btGjt2rOcYIueRkZEAQESXR6fTeb2E53HzEolEIpFotVpP6QUAsVhMeoVCoVar5b1zgleVQvELdGmUEnQUFBTwZbfbfezYsQEDBgBA//79pVLp4cOH+V6r1XrixIm7777b530UCsWMGTM2bdq0YcMGqVQ6Y8aMdhowdOjQ0tJSz3hUolXXeqH2c+HCBY7jHnnkEaKCAEAevLWH/v3719TUFBcX8y2eE5WSksKybEFBQdhfCQ0NJdeKRKK8vDx+/NGjR9sO8hw+fLjNZjt37pzXDcnXjtTUVKfT+dtvv3n1yuXydk8GhdJeqBBSgo5Tp06tXbsWADiOW7p0aXFxMYnqlEgks2fPzs3N3blzJwA4HI6FCxfqdLrnn3/+WreaP3++Vqtds2bNE088oVQq22nAnDlzhELhvHnziFQUFBSsXr06PT194MCBt/jWevXqhRDavn07x3EAsHv37s8//7yd106fPl0qlT7//PNk10RBQYHnJo2YmJicnJy1a9du2bKF3JzjuPz8/B9++AEAVCrVnDlzNmzYsH79eq1W+9///nfOnDmeK8M+X65Pnz7z5s0rKioiLRaL5csvv/zf//4HAFlZWf37958/f/6xY8dIr9Vq/frrr8+dO3ejc0KhXJ9AR+tQKJ0KADz//PN9+/YNDw8PDQ1FCC1atIjvNZlMkydPBoCIiAipVCoSid5//32+1zNqlGfUqFEAUFRU5Nm4ZMkSuVzu1RISEsJXv/32W6VSKRAIoqOjAeCee+4pLy8nXSRq9ODBg/xgsjOBj2XFGD/66KOpqamk7BU1+uqrryKEIiMjo6KiIiMjV6xYAQAnTpwgvW1EjWKMd+7cKZPJRCJRfHy8QqFYtmwZeGyfsFgsOTk5DMNIpdLExESRSCQQCFatWkV6rVZrdnY2WedUqVSbN2/u27cviSnFzVGjfLAu4fLly/fccw8AhIeHx8bGIoRCQ0MLCwtJr0ajIc9c1Wp1XFwcwzBKpbKgoOBaxlMoNw3CGAdEgCmUgIAQevfdd19++eWDBw9evXo1JSXlzjvv9Brz22+/nT9/XiKR3HfffZ4RHxUVFVarleyu4xk/frxer/eKZqysrKypqfFc6qysrLx69erQoUP5lvr6+sOHD9fV1SUnJ48cOZKPnTGbzX/88Ue/fv14j6qmpqa8vHzYsGH8gmdxcbHT6SQruiaTqaSkJDk5mTxdA4Dz58+TRcVx48YBwKVLlwYMGEAWFTUajUAgaB2iwlNdXX3w4EGWZe+//365XH7x4sXk5GRPZ7e0tLSwsNBiscTExJCthJ6XGwwGvV5PdliGhYW9++67ixYtAgCdTldWVjZ06FCvJ4IY41OnTl28eJFl2aSkpJSUFK+ngKdPn75w4QJCiPTy75FC8SNUCCnBBRHCN954wy93O3XqVGpq6pYtW2bNmuWXG3Zf6urqWJZVqVQA4Ha7Fy1atG7dutOnT3tqP4XSNaFRoxTKzfDrr7+uXr368OHDQ4cOffLJJwNtTuA5e/bslClTUlNTVSrVuXPnrly58tZbb1EVpHQLqBBSgovXXnttxIgRt34fhULRr1+/UaNGzZ49WygU3voNuzsjR4789ttvz5w509jYmJaWNnHiRKqClO4CXRqlUCgUSlBDt09QKBQKJaj5f8oTI/aKAJuJAAAAAElFTkSuQmCC", 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increasing degree to it.\n", "We then computed the residual of that fit on the training data and an independent \"test\" sample.\n", "\n", "Think about these questions, re-run the notebook, and try to formulate an answer.\n", "Please discuss online (Zulip or with a friend).\n", "\n", "* Is \"perfect train\" (residual for the noisy sample of the zero-noise function) always greater than (or less than) \"perfect test\"?\n", "\n", "* Can you identify when we begin \"overfitting\" by comparing \"train\" with \"perfect train\"?\n", "Does it happen at about the same degree each time?\n", "\n", "* In the real world, we don't have access to the zero-noise function, and thus can't mark \"perfect train\".\n", "By looking at just \"train\" and \"test\", can you identify (roughly) when we begin overfitting?" ] }, { "cell_type": "markdown", "id": "0d745c81-77e3-4e95-a325-ddef8c10a889", "metadata": {}, "source": [ "## Stacking many realizations\n", "\n", "If each fit will be a bit wrong, let's see if we can identify some underlying tendencies.\n", "\n", "Run this cell below for different values of `degree` (set it back to `7` when you're done).\n", "\n", "Note that:\n", "\n", "* Low-degree polynomials are not rich enough to capture the peak of the function.\n", "\n", "* As we increase degree, we are able to resolve the peak better, but see more erratic behavior near the ends of the interval.\n", "This erratic behavior is **overfitting**, which we'll quantify as **variance**.\n", "\n", "* This tradeoff is fundamental: richer function spaces are more capable of approximating the functions we want, but they are more easily distracted by noise." ] }, { "cell_type": "code", "execution_count": 20, "id": "a6d9600a-2b83-4cb3-b414-d2c37f8acb73", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "size(Y) = (500, 50)\n" ] }, { "data": { "image/png": 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", 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runge.(x), color=:black, label=\"true\")" ] }, { "cell_type": "markdown", "id": "cc14b927-392d-4617-9fc3-1fabda6395d4", "metadata": {}, "source": [ "### Mean over all the realizations" ] }, { "cell_type": "code", "execution_count": 21, "id": "c8f2e240-7cc5-4dc3-8c65-d6008ad60ee8", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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doesn't depend on the basis used for fitting (Chebyshev in this case); that choice only relates to stability.\n", "If we could choose an approximation space such that variance was flat across the interval $\\left[ -1, 1 \\right]$, we would be able to solve interpolation problems on equally spaced grids without numerical artifacts like the Runge phenomenon.\n", "Finding spaces of functions have flat variance and are rich enough to approximate interesting functions is \"hard\" (e.g. has no general solution).\n", "It is possible in special circumstances, such as for periodic functions, in which the Fourier basis (sine and cosine functions) can be used.\n", "\n", "In practice, we often use **regularization** to modify the least squares objective such that we can reduce variance while using function spaces rich enough to keep bias low." ] } ], "metadata": { "kernelspec": { "display_name": "Julia 1.11.6", "language": "julia", "name": "julia-1.11" }, "language_info": { "file_extension": ".jl", "mimetype": "application/julia", "name": "julia", "version": "1.11.6" } }, "nbformat": 4, "nbformat_minor": 5 }