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@AustinRochford
Created January 4, 2019 21:46
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Ridge Regression as Data Augmentation
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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"%matplotlib inline"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"from itertools import cycle"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"from matplotlib import pyplot as plt\n",
"import numpy as np\n",
"import seaborn as sns\n",
"from sklearn.linear_model import Ridge"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [],
"source": [
"sns.set(color_codes=True)"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [],
"source": [
"np.random.seed(12345)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"$$\\hat{\\beta} = \\operatorname{argmin}_{\\beta} \\| X \\beta - y \\|_2^2 + \\alpha \\| \\beta \\|_2^2$$\n",
"\n",
"$$\n",
"\\begin{align*}\n",
"\\| X \\beta - y \\|_2^2 + \\alpha \\| \\beta \\|_2^2\n",
" & = \\left \\|\n",
" \\begin{pmatrix}\n",
" X \\beta \\\\\n",
" 0\n",
" \\end{pmatrix}\n",
" -\n",
" \\begin{pmatrix}\n",
" y \\\\\n",
" 0\n",
" \\end{pmatrix}\n",
" \\right \\|_2^2\n",
" +\n",
" \\left \\|\n",
" \\begin{pmatrix}\n",
" 0 \\\\\n",
" \\sqrt{\\alpha}\\ \\beta\n",
" \\end{pmatrix}\n",
" \\right \\|_2^2 \\\\\n",
" & = \\left \\|\n",
" \\begin{pmatrix}\n",
" X \\\\\n",
" \\sqrt{\\alpha}\\ I\n",
" \\end{pmatrix} \\beta\n",
" -\n",
" \\begin{pmatrix}\n",
" y \\\\\n",
" 0\n",
" \\end{pmatrix}\n",
" \\right \\|_2^2\n",
"\\end{align*}\n",
"$$\n",
"\n",
"Letting $X_{\\alpha} = \\begin{pmatrix} X \\\\ \\sqrt{\\alpha}\\ I \\end{pmatrix}$ and $\\tilde{y} = \\begin{pmatrix} y \\\\ 0 \\end{pmatrix},$\n",
"\n",
"$$\\hat{\\beta} = \\operatorname{argmin}_{\\beta} \\| X_{\\alpha} \\beta - \\tilde{y}\\|_2^2$$"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [],
"source": [
"N = 1000\n",
"K = 5"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [],
"source": [
"β_true = np.random.uniform(-3., 3., size=K)"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [],
"source": [
"X = np.empty((N, K))\n",
"X = np.random.normal(size=(N, K))"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [],
"source": [
"y = X.dot(β_true) + np.random.normal(scale=0.1, size=N)"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"data": {
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jyFlHkmTI8vbfyH/LaJrmnD3cZG/ZtdddDp1tziZ/dV3DcHh+AMhV7O47sqzBssjPX6/B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mlzghoYQExpblQwIbh2GO4RBD7m8wXKskJR5DBNE10nwbJ0ftY6UNKhievra1QVWab6fmDrbYIs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YpiHQsPvwa8fx4HkDgTxYrVYIw5CtZxIYLgouKCxhPJ4xG2RAUYAsqxj3X8dms2GUqhZcT44f\nOoNgyERle+i6jel0ClVVMRpNUNclm3yqmE6PIEmScJXb7UhbQdd1pm0QM70SmSHjXAA9e65lBMGA\niZhXSNMIaZoxW1yZaRgA6/UKnudhu01xfX0t7GodxxWHRx4Ha/Ifb9zdO0kLjpro/BD0PmgEjtyh\n55DcCLlbzc2hiuuCSJjNjjAeT3B+/gJhuMPXX/8OR0dHsCyH0ZHp2YvjGJqmMjHjQoiAAzpOTk4w\nn8/RdSsAYK5sMmQZCMNIIFgJEUCOkkRJpnqUNHNCeJ4HWVYwGpnsHhAdw7Zt5lxHtsmaRq9bLq+Z\nwGzLkKqGcGAdj0cIwwiDgS8QAp7nIU0TGIbOag6yMicxVsBxFCH6vtmssV6vmSNYjCdPfobZ7Aiu\n62K9ziHLpGFCTrI8xx3W47vG2yBn+Os+xn0dDAbCfco0gfV6fUvPjV8Ld2+SJFloIGYZiRNvNivE\ncQpJAk5OToR+W9+3Qnhc14kmzp8Rcm1ToOsGc0pNBPWxbXt0XY261iDLKqMC90IXJ89zmKbOGiwZ\na7AMoWky+l7B0dExJElmxgEuJpMxssxB29YwDFPoZpFRB2AYOoAOfd/BcVwoio6mqVBVJWzbwc9+\n9gVD6hGSZv++c3ODosgZkOAGYUPmIqmooY+O5qIOp8bvzX523/fOG8OETP3jr+0+qV3ir/7qr/Cr\nX/3qh76MjxZd1yHLEmYFXN7aSIoix3g8AecqN03ChBO5jg5NVdI0RtPUDAIqoa5L6DrxMuM4FGKG\nuq7j7OwM4/EUl5cvMJ+f4csvfysUxQ2DFjYA2LaD09OHUFVCE3Cepq7rWK/XDClDnMOmoX/fP6gN\nhwGaphFIGm7Renw8he/7qGuCFw4GA7iuJ7RCOLTPth1wm2USnjPEZkcdXu4wdICeHuL94m30A/bj\nbZL76xo/1JA9wXA4wm63FeJ0Fxc1LMtm7lPklhPHEdI0ERNCSepxdHTCIOYxADB75wiO4yHLUgCA\n73viIHh6eookqbDbhTAMHfRxYsgyiZ7WNTnZ1XWBqM6jVwAAIABJREFUoiiFJkBVVSgKskN2HJsV\nuUDfS4yGpDEkUo+2Jai553nIMkL65HmKsqwxmRACJ01TnJ8/x3q9YroKJtMgaZlbiY7ZjBx65nOu\nT9DCcRyYpnqryHpTE+7oaI4wxN40jFwm7h5K97/j/WkdTcj2nwlJ0L0OhfP3G7IsvySA/Daxv655\ns2azWaGqaiHqTcvyZpLJi0MqXnOsVivGz5fgODby3GZ5t0SeFyiKDL5PaLY0jeG6LjzPh2mqKIoG\naUpFbl0TVUxVVSyXS2w2azRNBcPQGaKM0Dx1XQkas+s6iOMI4/EMlmUKMU3HcbHbbfCLX/zfrKmU\noyyvkWUpy70miiKD6xKysOta2DZ3m6wZlVFhjdkeaZphOiW9BtLz0pidMmkNkHbJy+vmj1008o81\nXrd36rrOxEhfrTH2NsEPTFdXl1ivV8JFRtM0DAZDhr6U2BCShEwBoK4L5oxTo+8Bx3GZKxuYC5WO\nzz//ApPJFMvlEr4/gOu62Gw2sG0HaRoijkMAHcIwQhxHME2dUW3JtdW2WwwGhDBN0xS2bUHTNBiG\nxdadC9O08eTJI6QpWY4TFauEpukYj0eMqkgod1XVWMNIg66bDF3ewjBUKIqGICAEbdt2DHVEKFES\nqKWmkaZp2Gy2rPm7EhqUUQTsdltsNhvROL5BFtwMGeieH9bj+8T3Jey+j4hLkgSjkcvOWTdnF8Mw\nYRimuBZVVcVa5G5Wqmrg+NiDqqpMdqNnejLUOOSOohS9aGb0PYRz6GazRpalzHGugG17DC1HjUtF\nUZDnGVx3wJxa6bmyLEKuJEkCXVdhWS48jyOCqIl7evoAaZoiinbYbrcIww27LhWj0Qiz2ZxpO7Y4\nPj5mdZmH6XQG1yU9rOvraygKXqLYk4MyR8DKQqSf6+XVdYXJZApN08R3+6o6/Kcu6H+oXr+D6Pue\ndWlzrNdLNkUoWYIj2JymafA8T0xVPM9DEAR48eI5drstdN3AcDiEaVqI4xDffvstbNuGaepIkkwk\nQp6/ifKxw3R6xNxpOtHFdBwPhuEiTXMMBh7KssRoFMB1PQZXJ3tHSZIFtM+2LUwmR+j7DkEQ4Orq\nCo7jYb1esoXXo2076DoldF4Qr1ZrdkBTIMvAgwcPcXHxAkkSM0tzEqhzHBdV1cBxdAyHATucGXBd\n7Y1OAIc4xJvibWC37xOva/zwZDIcDuH7HrZb0qmhQxtZWT5+/Bh/+MMf0LY9EykGLMvFeDzCcOjD\n81xBBSIIewhZlqGqGuq6ZZbHPktuNRNJ37EDHe07fd/BslxmiVlAUVokSYrhMIAs02fwPEqWvHAg\nNMIE0+kMXdeJhm3Xddhut8KFoG0bxglvkaZEMem6ljmSUGE/GPhCoH2z2bCiX8d4PEGSxMLSXVVp\n6sKT7ds04faTuSzLWCwWr/2O96c2+4gOLqa3L2J4KJw//bi7rj3Pw2q1BEet8MOU7/tikgmQgD93\nuxkMAmGbfHKiIQwjkXO6jgYxQUC5xnV9ZBkftigwDBej0QSz2RETUPYQRRumT1CA2yDbtiPWTN/3\nzLmkQhhGjJI4QV1XWC6XjB4jo6pKfPbZ50jTDN988wdmeKDBcWwoiorFYomm6RAEI/h+gCAY4+rq\nQjhS1nUjqId5nmGxuEaSxJhOZ7eGSfwwfde+9WBN/uONN+2d3EXwdfG2DkucXktNUd5A7cEdewgN\n2WK5XDKhfBpayLIE33eFQPJ8fowkSRDHIUPvBDg7e8Ccdkq0rQRVtSBJPXN8JeqwbTvY7SKmeQUm\nJlwytCcgy4Q2HY8nePToMVRVg+8PEEU7aJqG4+NjVFWF1WrJJvuAppFb3unpGTzPZ+4+IfKcnGZl\nWcJ0Okee06HSNG1MJjKGw4GQBzg+PobrukIbjH6eI88bVFUFEk5PwN35SLKgQlUVqKqK6RLtDxkO\n6/FD4rsWdt9HxPW9yr7LCmmavUSbOzqaM92cFpPJDH3fY7G4AiAx9I0Kx/HQdbRuBoMBe1+J6ZVW\niOOY5TOi1pMjlIQkSZCmKUP5xEKMW9MU2LaDtm1Q1zRoICqVAlW12ZkPOD09RVFUMAwT0+kQfa+y\ndaEwM4CWif8TNcpxbGy3ipDesCxbUCM1TcNsNoUkSZjPTzCbHYlhHWm31rcQs1zXjZgprahf9+3G\n+RBzPzha91VNnZ+qoP8n1dD5z//8T/zd3/0dmqbBr371K/z85z9/7euDwL6lHs51MX7I2G63uLq6\nEjahhiFjOHTR9w7T4nAFGuXoaIC+z0XRqSgN8jyEJJHt4Xjs4fj4CHnuI8tC4cTx9ddfs4e0ZXQn\n0ubYbJYoihRAg6bJ8ejRGbuWBEnSwLZ1uK6NR48e4M/+7BeYTqf4/e9/j4uLC5RlyRwJcuFAdXw8\nQdM0MAwDJyczRm8gbj/noXZdB9834XkehkNC6vi+jqLoGMXkIeJ4BUWZoGnI/ce2bfi+D13X8dln\nnzFrZY3BW4t7Cw8S2LO/swn6p/DsfEh8X9f/Ka65V4Wmtbix66XYP8i/7bW/i5XodOrdev033xxh\nu90iz3MGhy3gugb+5//8f2CaJhOaJLRQmu7w6NEjXF9f4+LiHFVFxaRhGBgMppDlBprW49GjOeI4\nRtuWUJQOmiahLCsYhoKTkyOYpon5fI4gCPDb3/6WOSa4SJIEqqpAUSR0XQ1dV1iTNcHp6Sm++OIL\nBEEAzuVP0xTzecAsNCXUtQ7LUmBZFnPdssX9II0SDWWpYDCg/YFELy0AgOOMMJm44v6UZYnT01Mx\ndeH3GSjuvcdd12E+H770b7revfI7DgJffCf8O5DlAbNqt4Q+2N3Xv218H8/+j2m9vU18jOvfX9dN\n0+DBgyPRqAiCQIiNUsOiFto0dGAq8bOfPWDo0pZNM1MsFgs0TQPT1FCWBkxTY+5YHooihm2Tu9x0\nOhWUjaJQMZ/PcX7eIo53sCxyzZJlwHWJ4lHXtXBTUxQHx8fHCMMQpqkwuomGo6MzAMBisYCuA5PJ\nHFdXT3F2NsN4TM+u4zjI8xx5HuHhw2NwQzDDOEWej1BVFfI8RxzHsG0Nvm/BdTUoioXRiOgA47Er\n7iE5bqnMTaRn2gqWoGl9inHIca+OV+2d47H7yr1zP7bb7V4uUth+ePtZ6PsedR3j889PMR47gibI\nRevjWIWmWRgMyHZ5s5HhOOSe9sUXT6AoCuI4RpIk+OKLR4w2KQuKPde4+Prrr7FelwjDBJ4nYTh0\nkGWUa0YjHxcXF2jbErouo2kazOczLJdLVFWOyWQihqOWZeHs7AxHR0dwHAebzQbn5+dYLpcYjTxE\n0Rp1XbDaU0bbkt7QbrdgqDwdo5GDIHDRNA0T06XmLrnHHeH09BRVVWG322E0Gt26V4ZhYDol97u+\ntxhKKYNp2rAsFbIsw3V1DIc2JMkRLn+eZ30y6/GQ4+4Pvhb42Y0Ev6n5ZtsKRiPnVm20f3ah+vAY\njqOK5t96vRaNmKZpoCgNVLVnDoQemkaCokhwHKLjz+dT9neP8exZgM1mAVkGHIeeHcex4LrUtNF1\nA77vwnWpBvR9ajqSe6mKIAjgeZ64PkVRcHZ2JijRT58+xWq1wmQygKZNGHvDBgDmUukyTboIhmEg\nitaYTqc4ORljNPLF3uJ5GuK4wGBgomlUlm9JTqMsSzx6dMwanzeUekVpcHJy9FJtdt9+Bfw4np3X\nxYde/w/S0Pn1r3+NX//617d+9td//df4h3/4B/zlX/4lfvOb3+BXv/oV/uM//uO177PdZuL/T6ce\nlsv4O7netw0Ov1uvt3sinDmiKGdT+gSTiQqiGZm4vg6xWkXMNq7Fl19+i80mgiyrbMKxxW6XgkRP\nDSyXO6RpjO02gmmaODriLlEpmobs4Zqmx3AY4OnTC6iqgjynQo+cA0YwDAuqaiIMM9h2jaaRkWUN\nkiTHcknq45ZlYzQ6QppW8Dzih6qqjb4P4XkEiRuPZ5BlCVdX12hbBa7roih6GIaCzYZgf3WtIM87\nFEWHLCMHANd1oaoGNM2FZVkYDslhg8RkaaESB/x2EMIh+066rZ/Cs/Mh8bbX/zE2u09tzb0+VCRJ\n8xL8kieu1107b8rEcYyyLN9bz8nzpnj69Iqp85NuVNsqGI3mePbsKYPcckc3BS9eLLBer1FVgOuO\noGk2c39bwzAsSJKOqupg2ymaRsJul8AwXMiyBkkqcHR0gqqqsF5HWK9jrNchs1A2EYYx0/VRYZo2\nTNOBbfuQJB3j8RGiKIcs65AkmbmLSCjLHkXRMGefFptNiNNTF1lWoK7zvfvVQdNKSJKBsgSSJETb\n1njx4gKWZWE+N/Hll9+KqUsQ2Nhuc0hScet+JUlzL/fdMEysVsk7fce3v18VquoiCCz2nRZYLHav\nef3r4/tacz+u9fb6+HjXf/Od0zOZwrIs+L6DzSYFoCBNGyyX13Ach7llkAvVarXAbkf5WJJMJEmE\n4XCCsmxxcXHOnjsJbStDUUwkSYGuk9F1ZJk+HE4BSEID6+pqjTgu4LpDmKaH1WqBtgU2G6KFmKYF\ny3IRRTFs20AU5WgaGRcXS4zHY4RhBtMkR8m6lnB5uUGaNlgstswNS4WqGlivQ+x2GxRFDdsewvd9\nVBVpU8kyrZEoymDbA0iSgTxvcHw8RJa1uLxcw/d9dm9IGDzPc4zHJJ6u6xpGozGaRhLfz7s0sb+P\nOOS4N8fdvXM8drFaxa/ZOyk40uD2nptgtUpu5bqmaUS9Cqgoih5lmTD0ZAeABMhXK6L5RVEB0zSg\n6zKiqARRRXrkecveR2H7rwtVBVYrkhdYr2MoioUvvvgC63XENEYiRh/TUJY16rpDXbcoyxq+r6Ft\ngSwrkSQ5HGeA4XDGkN8ymkZFGBb43e+e4vLyHFEUMt2pjjV0G2RZiaraQZZVSBLw5MkTACWSJBUW\n0nm+Y0iLGfI8g2EYaBoFlhUgSRqsVjE4At80TcxmMywWIeq6xHabou87hCHtVY7jI44jRFEBVSVn\ny5OTM4zHY7Hu9tfjDxE/pRz3rvvd7bUA9D0QhgXGYxebTQJJMsS/3Xd2yfMeYVgwbVWgKFqUZQZF\nUbHdruH7Q4ZE1RFFuaBozec+xuMj1DVwfX2FvpfheQHaVoYkqfD9EaNDStjtYmGG4XkBDMOGJGkw\nTQe+70JVTbRtha6Tsd3GmM9P8MUXj/D8+TXLjSkUpcX19QZ5XgrXrfV6B00zEEUR2laGLNespsrh\nukPsdvT5Ly7W+Oabi1ui7FGUI88LhtYbQJJMKIqDJEkgyyoTdS5ELadpOkajk1vPxKv2K/pePimM\nyjvFx1hvP8in/+Uvf4lf/vKXr/z3P//zP2f81PZHA4PnHGaCWN9AX33fRxhSAmmainVcfeHAIkmE\n1iGL1VrwCckmVcVut8Nut4NlWcxm1EbfA5qmMu0cDcvlEmVZII5D9D2QZRl834Ouk8Vd19UoihKG\noTP3qxZpmmK320FRJDx8+BCWZWK73bJJhI/j41PkeYrT0zPkec42jxaKIsM0PXiej7atMZlMYVkm\nTk5OABh796NjgloOhsMBhkOahlOjS0LXNUiSWPD7+eJ8GzGzQxzibeN94Je8MRuGW9R1I6wRgXfX\nc+r7HpPJBJPJFE1D63u5vELXdYxuFLCDac8m5Qq4CGrfA5Zlsvfp4DgWJhNOn6gQRTGDuJPAM+ln\nNLBtC0VRwDBUeJ4PWSb9HBInByzLETQQonyZzO3Kw2g0EQ5UABg0nKY8AGDbLmazGb755pv9T8le\nR5/3wYOHSJIY5+cvEARj9H2HLMvgeZ5wIzo5oQPkfd/Xu3Kg3/Y75jD4IAg+uQPrId4t9r9zy3KY\nU8ZNuC45p/m+z9xyOoYIuBEeJeQb5THPG2A6naLrepRljqqqkSSJWB+OQ+8TRTt43gCDQYDPPvsM\n3377DRNhNlGWJY6PjzEcBpAkGWdnD6Bp5NyYphmyLIGmqcyMIEMUqQJ+7nkD8XOgF3VPliUAJCZW\nbsEwbHz++WeQZQXffvsHFEWG0WgkIO2u6wtHS1mW2HumQoySW7lylCKhBhqEYSjW2H0ucz8VDYIf\nc9znuGMYr//u3mwecENzv0t33HeRaVvSZQrDHfqeUF+EgvRgWRbCMETbkoOVpmmwbZcZCdzsv30/\nYMieLVRVgeeZiKJCrIk0TdH3jpAUcBwPQaDD81yB8J5MpphMZvB9n+mFOEyvZo3VaokoitE0LSzL\nEigDx7FYfQlGFVah66RL53kyQwrQOk6SGJZl4+HDR4yaRdd/c79uu+9Ylg3LImpMUWRsoEL6kUEw\nwmg0getyBN1Y5KhDfH/xPvsd7c8yo/neiO8TUu7NtLkgCBDHERPkp5qMG2as1yv0PdVUo9FY1CpN\n02AyIWQOR6DSdUh48OAMs9kUy+UClkWaPUkSo64rPHjwELPZEYIggKrqQqd1OAxgmhYcx4ZhmIzK\nayHP/4D1eoUXL56haVqm8VpCUch1mcT0B8y+HMwlLobregwwQALsURQizwscHZETLHcYLYoUeU5N\nqjCUEMcxTNMAF0Pme4osK+i6hkkTSCInvmq/yvMcqur+pOu5T2bn+Jd/+RccHx/jb/7mb/DVV19h\nNBr9oM2cdy34OYeZOvy3r5vz6Emn4eaWc30Hzqsl5I6OsqygaRqiKEZVkaV307RQ1Q5ZFiPPCzQN\nWZWG4ZYp9Vcoywp1TRO7ruvw8OETmKaBJKngOD6GQxKHzLIEv//9Dufn55jPj/Gzn30BWZaY3THB\nZ6fTKYCJmGxa1hPGw9YAEPdX0ww4jgzD0DEajcQEkD4boW4IfaOj65pb9zFJEjRNi81mDUVRxSb6\nUxe1OsTHj3cpkm66/0Bdk7bUvnXim/Sc7u4bfF9QFJUJmceIohBlWaFtGzx48Ah5TkWrpmlYr9eI\n4x2apmXOBC3quoOiAOPxFI5DCdMwgM0mFe4KmqYyDQ2VaXkQ91rTVHQd4LoW094CHjx4JA67XPfA\nNIkislwuoKoqwpAonlmWCr6/ohDc13V96LrBxC4V4b7ALTuTJBZ86/F4JBAx/G/2fY/hcPjKqfH7\nNOHetRA+FM4//thv0N3NGZqmwfc9pGnKil9yomqalq2JVoglk14G8f9Jr0pF18WYTqcoyxLj8Ri+\nH8AwJLStAt8PGPJAx3K5RJIkKMuMuU4O4TgeiiJHnudYr9fQNBWbDSHshkPSvrNtl1EWFcznJ6LW\n4TnWsmxstyvIMlEcN5s1JEmFbetYrdbQdR1xnCDPc5RlzQSSK6Fj4DgOmqaG49iiOds0NbIsE5pZ\n6/USkqTsaf0MEIbhvS5zB1OCH0fs753z+av3WB5vo1vG98nXuchUVYe6ruE4jrBsdl2HObWlcBxq\nUhqGKfSjkuQGAcTzJjf+CMMcTUNiw03TsSbqEPP5Mb766kukaYokiaGqpP3oOC6yLEbbNojjEJqm\nIk0TAD36PsXV1RUWiyXSNGKNTEIIpGmCPC9RVVvWADXhuqagkxHNsYCqygjDCFEUMXqKBkmSxfVT\n3Yo77jvmrRzDNa2qqoJpWhiPJyIf/lRceD61eJWr5pv2uzAMWV1D+z5HHitKw6Qx2jeeXR4+fITt\ndossS9k6UqCqKjtj3eibJUnCGk7Al19+Key/1+sta446kGUVjqNhsbiGrpusUUPmM59//jkACZPJ\nEVt3EYqiYeY1pG1l2w66rmGajSrKskDXAaqqwTQtJAk3DcggSTK6roeqKswZmfIM6QclbFixBSDB\n9z3RnCmKgplqVCDNRxJFp8ZTLe4T/ZzyYRwnoL2pgyQpzG2vQ9/L4n35suGDyJ9yXffJfPK//du/\nxT/+4z/i3/7t39A0Df7pn/7pB7uW9+3YcpeJfdGnOCbYm6oqMAxH2K7yDYMjdZIkR9eR2Bo1Z0ps\ntxsA5EDjui5D+rQC7ZJlKS4uLlhRemPFCyhomgpFUcLziDsZBGNsNhvGf3RAtpbUQFqvV5hMpmIR\n0XSnhW074vpI+8Zh9JNOTD3jOBYTCh77XWniRo8QhmRZ3rakD0R86BFkmZLry/fkpylqdYgfLvan\nlTTl5sgXicFAfYZCuT9x3LdvkNuNgvPzF0jThNm9SmiaEs+fv8But8Xx8QmzI6ZCIcty5jZAsNc8\nz+G6Diu+qYD2PAeua0PTVOx2G+FepaoKXNfDfH7M0HQG0jRn1qsy08qy4HkObNtG0/Q4O3uAtm0R\nhltGxZjAdX0APbIsFfoB1JSmqf6f/un/hevrKybg3CMMQwDAcBjg+fMXzMaS7p/neYwHTm4FNNG9\n7TJ2Nw4Nl0O8S9zNGQDw9ddfoa5rpCnZuXLx4a7rMJlMGWKAxFObpgbZvdbIshyyLMGySNdCVVXm\nuGGg68i+uG1bXF8vRAOoKGS0LU0lCc0niaJW10l/R5ZVRnciGnUURbAs0rAaDAbo+x6z2REGgwF0\nXcdvfvP/IssyVFWNpmnheTZ8f8CsbmtmTy7BcSwYhglN01EUOVzXxvn5C+x2IVRVwWw2g2VZGI10\nRFHMDhs3BxhCzbUYjydvjdY4xKcbfO98m+/qXc0D7hu4EZ03RJqmqKpiT5h8gK7rYZoGM+CgnMbR\nrvyZCsNQ5M04ThgqlhChbdsiTWOB5lEUBaPRFJbloOs6mCY51K3Xa0bbJ90RLuZ6cXGByWSCsswh\ny704NNc1oXzyPMdwOIDjkM6VrhtomlqIy/Lr5O5BXdehKFKBuuH3hP9v1/lCeyQIBoJCMRwOMRgM\n8OTJZwjDHeq6BlHQusPA8geKd0Gn7QdvAg2HA0SRxBoVGbquw89//jlGo5O3PrsEQYDhcHgrbzVN\ny4ZiBaIoQhhuQXpxLSSJa0DKzPmQ6rrhcIAXL54L1zZd1+E4ZPNNoIEUuq4x+28Ls9kcmqYjTRNs\ntxus12sMBkOMxy50nX5uGITmod9zhWaiYQBAB88bQtM0XF6eIwx30DRdaCK2bcdoVDKOjxXhMFqW\nJWOhyALFxJHlXdffktsg9JLEzrYyuzc1Li8vmZV7KwYSHIn7Y2H0fFfxyVTM8/kc//qv//pDX8Z7\nd2z3pxd88kdQ6wS2TZC2u8rnfMMIggCTiYskaRCGWwRBgLZt0LYNNE1jXUrAsizYtoW+76FpGlar\nNR4/foLz8xeo6xplWTL4WwtNM9B1DQjG5sLzPLx48VzwnQ3DQpbFYiKn6zrI1cNltAx7r2P68iSU\nd6BnM4LTUXe0EV3pwWCApiH78cFgiCzLGLKoFY4ERAdR7r0nhwPdIb7v2J9WcicPHrzJyXn/dxPH\nq/aNMAR0XUcYRqiqQggMO46H0WiEJMkYVYJEG7lyv+OM2CGzE2gCXTdgGCZD7ZmMWulDlsFEYkeM\nVqLAcWxomg7DICrIcrmEYRjoOqJC5nmKzWYLXTcZrUtC23bwPB++P4BtO1ivV2yqnzKHPYu5B5Fr\nA8FcM2y3G1YokJPQcrlAXddIkhSDAd/zIJrAB0epQ3wXsZ8zCHECMVChnKIKKLthmEzQXxYFva7r\nyPMUQRCw6T+5QZVlLagidU35Lc9TNE2FwWCAPM8Rhjsoioy6pvzqug5M02Drt4fjOIiiBJvNBkEw\nxMnJKWSZIOZpmohmzs3hMMDDh49QVSWqqoauW5BloioTRbuAbTsM9i4ziqWBruvRtj2yLGcTTBWy\nrOD62oUs28xe+a5trMQGNbfp4vvxqib2IX7ccR/qBng9zf1u83SzWaMscwwGPuKYniWSEOhEnaeq\niqAi3fyNDuv1ClVVMScsFXVdCbrSdDpF32tsAi/BdUlGwPcH+Pbbb6Ao1HS9ujrHYEBW50TB9FGW\nJXTdEFRm7sJoGAZUVUPb1tA0E1l2hfF4AtM0UdcNQ54riKIYktTDcVwkScwaqp44WJOWyAqu67Kh\njfTSQEfXO+wfsbhw+2QyPVB+P4F4F3Tazc9vN4G4tTa3F+fI4w9BC3OBX8uysNvtxHAtSRIoioqq\nqrFeL/H48ecAgDiOMByOkCQJ02ozmQFHxwZrgKbpmEymUFUVV1eXgnJL1EaP1WVgAsfkGmfbNuI4\nZmYCwHA4QlnmUBRak5qmoywLxigh/Swa+oEZAlQwTXNPSgDouh6KckPRp89PZ0RCmdfsO5EEkns/\nkiRhjnCmYLu8icb/U4pDdt6L9+3Y8tifXjiODdM0IMsKxuMJ7v7a3Q1jNBphPp9jt1szxfAERVFB\n02jhbbdr2LbLFk0rOrO27SMIxkjTBIqioK5b+D5p18znc7FYLy+vmc6ABFXVhKUdWRPrMAyDTSM1\nHB3NX6mu/yr0zGTiQpLI3SYMQ1xfX4vEtlotoesaptOZmF6Qlk/1UoI/FI2H+BjxPgXT/rSSJhE3\nSDtJkoW+zd1C9037xmAwhKIoggpF+lg06a+qClmWoq5r7HYEoTVNS1CdPM+Drps4Pj6B7zuMUkGT\nkLZt2QTUguv6wkGvrhucnJygbTvIMgm4WpaNMNwxq2VXuFS57g1fmcTPNRwdHaPvW2H1XdcVRqPx\n3mH5xkLc9+n3VVVHHEfYbDbY7bZQlButEj51kSRZQNEPRewhvsto2xau62K7XaPve6ahQ2vasmxk\nWSom/jz4wQzI4LpklWwYJo6OAui6gYcPj3B1tUVR5FgsFsxprsV8foSua1CWFfoeDI1LFsRAj9Eo\ngCyD0ZI38LwAT558Bk3T0DQNhsMAiqII1zUA7L+H7KC4xXQ6xmq1xHa7ZRRoE7pu4LPPfgZJkpAk\nMSRJxmRCDd/ZbMroVQ0Wi2s4joqqAjNnaF/avwxDZ/vc26M1DvHHEe9Dc+eHUN4skWXKDYTGdNlE\nXhJ6UjcI8puIohhFUUJRcItO4fs+djtCi/LQNB3Hx8fM3rgRJhrD4QDPnk2wWi2haQb6voXvD0Tz\niK+j8XiMvpewXq+w3W6Q5zkmExOjUYDj4xMoioq2rVnDU4NpSui6Xgwlu65EHMfQNJXRnHsURcGG\nLi2jXd4e6BRFgSRp7r2P7zKwPDR/vpt4V3QcDeYRAAAgAElEQVQacH8TiJ4zlQ3hX488ftuIoghJ\nEuHq6gKO4zIqryP+Hjk8NfB9H3VdY7lcwHU9jMcj7HY7+P4Aw+EQTdNiMHDhOC5M04JpmpDlK9E0\n5YgZkhaomF4UUciCYMzWL7moOo6DNE3Y+fFm7SdJLDSiuC25aRLtaz6fQ1U1NA0hfQiMoAt3MD5g\n6XvSlLqRKejBEd48qM4mhgmnenER8jfR+H8qcTg578X7dGzvxn7Dg+DYi5eaOcD9G4bneXj06DGi\nKEYQlMjzgrng9EiSCGkas+RCVAjeRe17omFZ1pwVoQZs2wHnFquqhsViCVlWoesEidtuNxiNxqjr\nCrtdJQ5hZD/+evjnfcmI/4zsgbn4m4q+B0hzp2ZdXBLxMgwDmqYLGser7skhDvGu8b6innenlRxp\nx13i+v5+ePSb9g1FUeD7Hvq+YZQlesa3W9LooWuVGBxcY+LnFjRNZwgX0qmi1/WIopDZqQbMbUeG\nbbsIwx10XcdgMEQQ0MRmsbhGWRZQFAXHx6coSxJgLooMpmnxT86QQzJUVREHO2rAgFE79ieNN+uU\ni83GMQneKYoMy7JRFDk0TUOe52xKQwKdB4HVQ3wfoSjUfCUdAUU8p1Qwdiyf46V84/s+bNvGaDRG\nnmdM30BmA4haTE913YCiEMWxLCv4/oAh5zrMZjRI+fbbP8CyTEZLMZi7B9GkFEVFHEfoOtp3uK36\neDwBcLMXLRY0iCFHEAlxHAntOdclWig3S6CCX8L5+XPsdtdsYELFOv9dx3Gh6waKosC+Iw+5T6oH\nU4KfaLwvzf1G+3F/+EHPd9M00HUDqqq+9EyFYcgOjzdip03TIElozUVRCEXpkKY1FEWB57lCL4MO\nox1s24GmkW5VktBQhBBsgGHoME0bJBauYTAIsFotoGkqxuMJFEXGo0dPUFU1fN/H5eUF2yNUaJom\n0ONkJ337fnDaNf1/2hu+K6riQaD8u4v3Qae9TxPoXWKfzuU4Nna7HXRdY7nrvqYoIb9VVcVwOIDv\n+/j666/Qth2KIkddVzg+PoEkSfjv//7/4Hkunj59Cs/zMZ/PGWKG3kuW6X4kCWm4dl3LNNpKKIrC\ndCQ98RkliejE4/FE1HxBMAIA5uRGAITxeAwAzEDHRhxHgs1RVRW6jgYui8VCPN/cMGg/CAVFWrTD\nYQCiLHLx5DfT+H8KcWjo7MXHWqz70wtNI4gciVzdqN/ft2Hwv8+pVlwYmRaahaqqmQ2rzFwraAF2\nXQ+gRZ5ncBwXo9EIZ2dnaJoWjuNitVqKpEgOUy26rhU0stPTB5jNZmL6sdmsRWH5LrHdbvH8+XPI\nMi1GwzDENIMgfxN2KDZR1xXjJLcCqncoGg/xofG+lEked6eVrutiPJ7A87xXFrpv2jc0TcNwGDDB\nuZvXlSVRKcgWlTjBeZ5DkmTYNtEjZJkcplzXxWg0FrSo6XSK58+v2f5CYnSu66Hvb/YqooNkcF13\n729mkGWCfuu6JhIqd73SdY0lW4LNVlXJBBvp9++uU9Ib6hhiUEEcxwx1lKAoaiiKipOTE+i6IVw8\nDnGI94l3mVRLEgk9brdbMann70FipRoIQfNycA0QKi4DMZxp2xRZRkWjaZoMYUOTx6OjOcJwBxIC\nH6PryEnHsshJx7Zd8T6KImO324CLqvJDcF03t/apvu+xWq1R1wWo6dpgOj1CXZO2guM4TPsqRhAM\nkaYpg7rXqOtG7DWkQ5IylAStc04T4K/hoqwHU4KfbrwJNXLf+uO5jw8/9i2HSQB5jBs6Ui5qvq7r\nEAQBVquVeH9ZlrBYXEGSAEVRWQ4k6mCSJEx/jepew7CFoLAsKxiNRqyh2mIymUKWiRr14MFDRumi\nQaLrkhbPdDqB63ooS0LIuq4t1gLXxYrjGI5jQZLGSBKiKxO9MoFp7hh1iz7Lx6Aq3r2/H1rLHOLN\n8a773fs0gd427iK9VVVlLIpKDMZI25H2a1mWkec5LMvBbhexYVyL2WyKrgM779GzRAwOMOOcCldX\nLxDHOyZiTpQuwzAxGo0QRSUcx0VZlsiyHJp2AwTgbo7cipw3dVRVw2gUwLYp33GzDMuyxT1RVRWP\nHj3GdrtFmsYIw0gMEe5zkb17n2l9Snv1qCQGjQcwAMWhobMXH3Ox7lsfbzZbdB1xcE3TusWVv/v3\ndV1jhZaMOCbbOcex2WSPtGdWqyUsyxR23/P5EbMvXzE7uSFM08ZsdgTbtpFlCZ48+QxnZ2f45ptv\nsFhcIQxDJEmKP/mTP2FdV3oUZFkR0DvefHqbIpqQOSlkGbe4jTfW7B24289gMGBuW5mAwx+KxkN8\naHwoZZLHu04r32bfePToMeI4ZgUsFX+apmIyGePi4hLn5y8gST2jXNkMwl4DABzHYfQrH8vltRCn\nIwSCC8eh6Sa51N1cV9u2iKIITdOAC8KmaQrPGwCgA6/reqwgBWazGc7PX2C1WqHvSX+D62o1TY2+\nhxBKB272uCgKsVqt0HU9DENjvzPAaKRB1w3RzD3EId433mdSfdcalg9AyLKckDZvyvW8GUSubTcT\nQF6ArlZLJrpcYjKZYjqdMZqhDEXRsNmsUJaloETNZkcoihxhGMJ1PWw25Fg1Gk0YbP1GKDbPU/i+\nC1n20bYdtts1DMPEdlvDNG1kWYaiKFFVJXO4ahEEIyH4CihsqGQwqrOH4TAQEPj9z7t/Lw+mBIe4\nG69af3e1I7nl8F1q7XA4xHZLyHJO9eD6HBzZw2tNwzCE3hq3XjdNC9PpjKF6FFhWKNYuHS6BOO6h\nqj36vkXbShgMBnj48BF2ux0syxSDVRo0umzIMMHXX3/FTEkacMcpRVGRZSk7JFOuDkMSFDcMnSFe\nT2CaJjMG+bBB8G63Y7pDDbjrKzVzDgLl33W86373XTW97yK96dnWsdttkGUpfH8AMshxmM5qC10n\n+tJ6vUbX8Sa+AoDOWoqiYrcLYRg6kiSB6yoYjUgLNU2JzUGI7zGTBpHgeR7G4zGyLMPV1aVo1JIM\nCNmQa5qBsiSUJ1HC6Fy6Wq3R9x0sy8Hpqf/Kc64sq6iqAppmvPRv/Pm+7z77vi80fXgcwAA3cWjo\n3ImPsVh5Zz1JYqY1MUDXdVAUEnTbD57EeGODYKQmc64pIcsybNvBeDzFcrlAEIyEoneapowPnMG2\nLTx+/Biff/6FsB9XVYK90t+1cHl5CV3XMJvNYVk20jTDfH4s3LR4kiOb9AZpmt5KMpZ1/30gkcac\nCdvd5pZWVSkg3vvoBNo0Xo98OMQh3iU+BmWSx7tw3IG32zd+8Ys/w2azQZKQdTnQwbJspq9Tou9b\nWJYD2zbheUPYtsUsXokr3DQVs2P2hUZIlmVC0LRta9i2K6yKqSFcs8k8178huuV+kckTIlmykigy\nnwTJMrnycdeUsiyx2+0AQEwPx+MJoijC1dUVDENnB2aDOVu1zAKze6k4PcQh3iY+ZFJ9nzWsYZh3\nmpKvXrP8IEv6CBnKEkLrhgti1nWN2eyI6VfVTJhcxmw2g+972G63QtQ8TWMAPdI0Zc1VF33P6wA6\nUDZNwxBvlE9pEkpUjzzPGc2aNAPynBzsRiMq8EnrwEaSRJAkHZpGzkKqqjJXSVlA4O8eYO4Obw5a\ndocA3rz+7s995kvriL+HolBDhNeGvD4syxJd12IymcBxPLiuBkUhNylqWt5QHu/qVRLiZyT0e7gt\nOH+t7/usuaKKa6TGTwOAHFfLMmPOPxmKIkOapnjy5HMMBj622y0MYwPHcdF1PR48eCjcZsuyEGYF\n7zMI3u12WC4XwolPkhSxBoMgAInJ3lg0H7QmP368T733sZved5HeURQxbVOD1YeEiHEcBw8fPhYG\nGPvi+kR7V9A0DXM+JNo7Ids4cpUQ23GcYDo9YiY1Q7GODMOE4zj43e++ZOLiJKzctg3SNMHFRYtf\n/OLP4Pse2raBZTmisXp83LHPogLoX8rRfB+g4aXOtHtKRueiIcn+833ffT4gSF8dhx3hnviQxcpR\nAly4iovBEWS7vtWB3LdrfPbsK1xf72DbJpIkQxxHOD09FVDRpqlhmhY7oClMl4MKyqq6ES01DBOb\nzYaJ0vWwLJtNJyqoKgm6OU6PIBhiuVwz/m+BNM3Y4uiZdkCOJIlv2cPxhX2fhgippN8WkqX70cFx\nHBiGwZpW7WERHuI7ie+a3/ymeN2+wQ9L3Kby4oLEkWVZwvn5C7YnAGmaYTIZYzyeQZJkUZRyusZi\nsdj7rDI8jwTQq6rGbDYXk01ZllGWBUzzptBMkhhhuMV6vYHvD7BaLaDrBpv8AHVd4ezsITabNfK8\ngKpKyDKC0H/22efi83BUzr4LXhAEbGIDBMEYsiwJjZCua1ghQpOcG9G7Qxzi9fExUHdBEGAwGNwS\n5OfxujW7P5gpihJAgfU6RpLEOD09E69zXQ9XV5cIwwhtWwEguuPx8TE2mzXOzy+E8GvTNDg9PWMT\n1Raj0ZgVyecYjUYgm3MDfU96Hjyf0mFOgSyTVgDXKanrBqqqsQJagmkqmEymUBSVOYn0kGUV4zFH\n7t6gJvYPMAetjkPcF2+7/t6U+xaLa+FgQ9oZRNsoywKTCaHamqZhSDgJ2+0GTWMgjulAaZqWqD95\n7P/N+fwEALBerxnlsML19bV4jmVZZjSSAkmSiuZRWZZYLK4xnU5RFCXiOEGaJvA8H5qmCwoJ3z+G\nwyFs24XnOXsodnKOTBLppabWm5oE/N40TS0aZn1P6HZu+7zf6KFBiXugl3wC8SFN71cxH2gIz8+J\nhaDKuq4LTSPU2H/913/h6uoS8/kxmqaB5/kCpQZ4GAyGwvU4y3JEUQjDsLBvCW7bLqqqgWHoDBVu\nCuHxr79+geVygefPX8AwdBiGDtt29xpBsRDWt22q6a6vr9jwoReNR+D2HrG/l+y7yNKgsEDf+2xw\ncbtW5yhZfr8OCNJXx6Gh84p438XKUQJcDHg/uPUx0GO9XqNtG3agu4Kqdui6Buv1BooiY71eIkkS\nDAYDUdTVdYPVaoXxeARVVeF5xFvmbjZkrUhdTtLiuBGW4iJ1hLYhfZ5Hjx4xS+UQcRyh74kj7Dgu\nNps1U/Bv4LqkSF7XFRaL6z03ELD35jA/7Fm2ExyPW6DTpOGg1n+I7y6+S37zu1zD3X3j7mFJ01Qo\nCh2alkvSwWlb0r4gdFyHqirF1F1VVfGe+5/PMIxbtq+LxbWgdHJeP1+Pq9USmw0/RAbw/QB1XcAw\nLAyHARzHwbNnT/G///f/QlmSEDunS02nE+x2O+F8R/tEdmsfGA4DMTlpmprtPxIGAx9d10FVNSyX\nCywWC3ieA+DVDiCHOASPj4G6e1Oz4r41y4vPJEmwXq9Q1zU8z0Ce50jThKFVA4Zso/xZFHRQvL6+\nQpqmYtBS1zXm8zk0TYMsk/WqYRgoigxhGDLxYgCgAUzTtIjjVIhc8nzKD3cc1crXONHHeqaxQPp4\np6enUFVN7BXj8Riadn+T5qDVcYhXxbusv1fVzNzWnHSruGaTgbIshdspDRtd+L6P7XbNDAJUSFKF\nsixg2869CM/9v7nb7dA0JBROdOGXkURPn36LNE2wWCwYZTFjmh4Znjx5ItZPVZGrDx1eGxQFuflU\nVQnLirHZENp+v8Fy96AZBD6Wy/i195ej8TSNNEq4Bl3ft7i8vELX9RiPR9hfl7quH+rnH3Hcl48A\niJ8lScKE7zdYLpfo+xaGYSJJalRVDdJazJDnBTzPRRxHcF2SzSiKgukjEkLa81zYtoU0TRCGIdI0\ngeO4SJKI1ZIVG94pzBI8hqJwpI7B1lANIGFNHQem6WAwoJpRkiQ0TYMwDAW1nzceiYJ5s0fs7yV3\nh//8bCzL8ku1+qvy9wGh9nIc7sh7xquaExwlwDuN+8Gtj7uuRV1XrCjrEccRxmOfFYElhsMAg0GA\nOA4Ff9+yTFiWjCgKIUlkTfzb3/4341D6yDKyeHz27CnqumIJUGLijjYs6waCSh1ZWvCXl5eMf98x\nhI8BVVVwdbXBYDBAWZJAFhfAIuX0mmkEKOLn5GSTQJIkgRzicDx+EDzAuA/xXcenJup532GprhvE\ncYrBgDRxSEPKYI44Ch4/fsIQLBJkWWa0SUVMQne7Hdq2RVWV6LoOZVlB0zpst6VwkqJmCxXPnuex\n4rWApqnoug5N00BVdex2W5RlCVVV8eWX/wdRtMVsdiwSdRxHIOvlMUhwGWK6wgXNAbBD4wR5nmE0\nGmOz2UBVFaFJEMcRE0LvIcu+mMq87tB4aAAf4m1Rd696Vt63WdG2hIS5vr4S+wgNUTw0DYkOz2ZH\nACjnlmWOsqywXC5RlhWahoYzruuhrkus1xvMZlPkeQZZljEaTRCGITabLSSpR9/LcF0fR0c+u4Je\nIO04esG2Hei6Bk0zGQWExCgtyxZWsF3XQdep8eT7HiRpAE3T8ad/+vheS9ePpTt2iD/O+FDU611b\n85vflaBpOkajEabTmagLuTMPufdUDIHgIQiC19J2b6OAbh8q+XO82+0QhhEWiwVryppQFHK9S9ME\nl5eXmM2mKApqgk6nU4xGo71hpwzLsiBJvaCf0ODjpsGyjyZ4VxQq18ykmlphDWCJ6W2RoYlhGKKZ\ne6Aw/3iC5ydq2JW38tFySahrovKSa9vz589YY7NHmhbouh51XaIoClgW0RDzPIPnudA0qh2JwUFD\n++12C9u2oSgqzs4e4Pz8BeI4RhxHjMpLouNlWTBKrsbW0AKOM2LUe1o7VcVFmS2hZ8V1HAHcS+3n\nNKp9NNndvWR/WEHGPrhFhwYOw4Z3jcPp+j3idRO/fZTAXcE3Pknj7jEA0DS1oEdRZ54Wv6ap2O12\n7DAUYzweMfHEMeuE9uAuPJZlwrZpwp4kEWzbZYtLQllWaNsOo9EIDx48hGEYwjKODooqE5sDRqMR\nJImmBnR9vbCU44syjmMsFtcgK9Sbz06OBcmtg7Rtux910R0OeId4m/hUIJmvOixRcuqx2WxQVTU0\nzUBdl8xlYCzQdnleYLFYvBJZQBQnCZ7nwHFcYcschiE8byf2IdpfWkH/VFUdTVOxiUzF+P8Vg6rX\nSNMUrusKaHxZVsIZj+4nGHXj9ufyPE/A4ruuQdeRI4Hn+VitFuw+cJTizaGx6/xbewwvfEgb6EAB\n+SnH26DuXpWPP6RZQXluicXiCppmQNc1DIc3Dh5d17I8WaFta0EVybKU0R1L1HWB5XIJ0zQQx+ew\nbQsAaRGE4U5QkbnDiGka4vBGNuIaNps1VqslG+rYmEwmTKNKY+uPNHdkWRY1hud5mEymt/TpXvU5\nP6bu2OvikLt/nPGhqNf7bM1v3qNjKFBCp1Bd2+H09AzHxx08T8f5OaHjVis69DrO/TXler0WWm9E\nWyLpADIOcBitqYEk0c81TWdujBk0TWOHXwmDwVCg6whRBDZ8VcXrq6oCQIPRIKC6nNOv9vcijkLl\nNOP7nn1y+bFR1xW7PzK7bw0Mw8BwOETXdYyamQoHydfdi0N8WsGfia5rsFptYNvWnl4MN4+BeIbC\nMEKWpdB1Q9R4VVUizzM0TQ3fp2GdLMsIwwhVVWKzWWM4HDJJDQeyTO9L+cTByckpHMfFxcU5uq5D\nFO2wWFxhMpkIhBA/h+Z5Bt8fMHF/osrXdYXhMGADBl/kVBI4L4T7FVGFFZFjudAycP9e4vu+yHV3\nXVAPw4Z3j0ND5x3jbTqGfIre9z12uxpFUcA0LbiuC8MwGefwGgCgqhpkWRWJjxTAb3QweNHWth3i\nOEUURUJcuK5L5kpVo+/pcFZVNSyLw9dUcC5m2zbCfeMPf/gaYUgT87KscHp6csuaWFFUaJohdDv4\ngorjCLIsQ9N08Vr+2adT7zs9SB84/od4l/gU0GB3D0v74ob70zvPc5GmEvoeaFty9qjrGrZtv7TP\nPHv2FIZhwLZtZpuaom0lZk9O1EhJArIsxcnJKXa7nk0S6e9rmg7XdbFer9nkVBZNXELn6WiaGkmS\noG0bhgDKEIYRjo5O2Pv0Ap1wFwl1dDQXAnyqqkGS7t4H6ZY4ehju2D4jIUkS9D3Bb7kA5n12lof4\nacXrUHevy8eu675Xs2K32zFqhSmapHVdI45jAGRpniQJFotryLKEzWaHuqYcT9oCYBodPVRVgW07\nyLIeWZZA103Isip0NzabrXCwS5IYWZZjOKSCnVOuiiIXjkJlSbk8CEascesjikKUZSXoH3ennK+L\n70N37JC7f9zxIajXt7E1v/va/7+9O42RpKz/AP6trqq+q6+ZnmFnl+WGP9kISiAxRBCUYKJoFLMw\naEw2MWpCJEJ8AayJggYS0IQgHpjIilHXJQMqMRGzMfHOcpkYIlcQVncRdndmdqaP6e7p7qr6v3iq\nanp6+r6qq+f7eQM72zP9TO/ze56nnuP3AHAmRe3cMoqiOkcI6/sB0zRRqZSdfjWTyTg3RInE4wlo\nWhiyrGJ1dcVqE8TEbKVSRSKhWUc+TKffVVURS/aO9GpVh6qKHJT2Tjj7+nW7Lcnn85vaIkmSNh0z\nbnbcc2ZmBidOvGvlxjKtnfVBBAL2hJmJXC7npGho9VnQeKntn0xTciZa7CTAYhLFACA5Y8NCYQ2A\niWg0AlVVkM+L8ZuuV6yj+gH4/X4UCmuIRu3nRbFgl8/nUK3qMAygUMihWCwhlUphba0Anw8IhYLQ\nddNalKggl8s4uXU2FgVhHdvdZe3syVpHEU3E4zHs3n2W8/ttjO1g5Zorwt5JlkwmoWnaps+jm7Zk\nVIsNk4SfRhe6mTG0r2nUtJiT16Z2oBUMBq1BjmGthoug9vtV6LpIDjczM4N0eho+n6jc4sz9KqJR\nDX5/ANWqiUKhYD0QipUG8dBoOg9N4qYtA8vLy9ZOgDLm5nbijDPOgLjxZgU+n7i9RpyZFDdqTE2l\nnBlj+1pjXTeQTs+gdp5m43c3nT8POsi47Y68qHaAKgaz67CvD8/lMjj33POhKApKpYJzHNK+fjyX\ny1mDgI1JIECsAM7Ozjor8nby1NqjkYCI4dOnl1GpVK2bRVREIhFry7iIUcPQrQ7ewNpaAWtreSiK\nSLQaiUShKBHrN5Egyz6srq4gHo9v6oAbTeDWJqC0J3AkSbZWdTeSsmazWVQqFSiKah3JElej5/NZ\nxGLxTQMfrspsb40WC9r1x6LedDdZUfszxa05MWuADWu7exx2jjxVVWEnBH/77WMQR6pFcuJyueLk\nGBDJIyNIp2dRLldx0UX/h2q1imzWvra5hGPHVlEoFKxjijpCoTAKhbyzY0+SJCe/hq7rqFSqUFXF\nuSq9dhFI9NdmR3Ey7Lxj7LsnQ6+LdbX1q9W15vWvBeAcfbJ3nkkNEq0CG7uAyuV1HD36FvL5Nfh8\nEgyjClUNWCkJSohGRT9UKJQQi/khxtsKdL2KeDyJQCBg3fq6YiWmFUnIRTLzEmRZsdoau0+TUKmU\nYR+Nrm+LMpkMyuV1VKs6YjHNGmdvrfv2bkKRu07scAiFxG4+sVNetCeK4mv7WdD4qO+f7KPqtUmA\na8dG9s5PMakivjY3txOS5LMW0yUYhliUCwTEsVpAgqLIWFxcRjabRT6fc8ZUmqZBVRUASauemjh9\negXT01OIRCLWZKWOcrmC06eXEQ5HEI/Hkc+XnefHnTt3QdcNyLKE6emZTfVbjD9N5HJ5a+dQzJns\nFP1e4z6207akn8WG7bojlBM6XehmxtBe5bO3kwKica5tzLPZLIrFNSiKCsMooloVeTFyubxzBAoQ\nDUE2m4csi4oprhYXWcaz2RVUKmVr27X9934YhmGteAORSATRqNidk81mEAxubPmzb8Hx+/1Q1YCz\ngpJKTVmZz1Xnake/3+98X6PffRi47Y68yh6gLi6eslYQxUONSNwojnXYiYXtJOKmaUKWfdC06KZJ\nIHGVqQLT1J0bBkKhMDKZDAA4RyNFUrmgNahVkM/nrOMgBsplsfMmmUwiFAohEokAkKCqsnX8Ugw2\nlpeXrQfaOGRZwc6dZ+Lcc89HuVxGOj2z5QaCRhO49Ssx9sPvxlZjE8Vi0Rm42iuqhqGjVCpB02LO\n56JpGuzEeVyV2b7q61q7/ljkpupusmJz4kbgrLPOxvLyIkqldSspcgWZTAbJ5BSWlpYQCASwa9cu\nrK2tYWlpEaqqWrkPRL+r6zoKhTUkk6IvTyTiSCZTOHr0LVQq4iE3n5fwzjvvoFrVoSgyzjjjDITD\nEZw+vYzTp09D07S6/Bpi1b5S2YhnAE4+gm53wgwr7xj77snS62JdJ9ea1792bS1vpSMQSb9rx531\n/YAsy8jl1qwdPWVrUlQsUoTDJkqldSwt/de6XhnIZjMADEQiGoLBsHXkQ0E4HLUSMUvWbXgSZFlc\nG53JnIYsyxB55MTDorgB1nDG2/W7cU+dOoWVlYx11AsIhyObcvrU1n07hovFNSvHifg7O9lsuVyC\nYahtPwsaH/X9U20iYDsJsCxv3B4sTmfI1ikI1fna3NwcstmotdPah2KxgNXVFau/UK3bDH1W2w/r\n2vIKstksIpEIVlZWnNxq9nH3aDSKQmHN2YktcuAo2LVrF955Z9npPyXJZ10AsDlWNx8jW4YsS87C\nm4iT1vmjOmlLel1s2M47QtkKdKGbBI2tBjIrK6aV/Dhu3QKjQ1VNhEIJ6Lo4m7+yctqakTURjYqs\n5PZtMZFI1Dm3bxim03CoahA7duxEKpVCoVDA+noRIldOwNppI1Yyah+S7K2wa2t5xONBa5uf3znP\naM901l6Z3Op3HzRuuyMvi8fjOHXqpJX0TezCCwbD8PlkJw43VjZ0AGIl5M0337CSj2+sbOt6BYVC\nwVk9EaspeStpownThHW7QdRZralNwJdIxFGpVLFjxw4kEknkcjm8/fbbyOfzmJ2dgaZFcfz4cYTD\n4uiIoqi44IL/QywWw/LyMqpVkci907P79dfKZjIZZ1BfqVScCeLaGLd3Im3k1DGd5MtclaFanfTH\nrSYrGtWXRokbAXG0UNeLCIcD8PnEcZl4f7MAABseSURBVChgY/v8RRddhHR6GuvrJZw4cQInTpyA\nrpehqgEEgyHs2LED6fQZ0LQo8vmcdb3yujWAl60Bqg+BgIpoNAZxU48P6+viuFWpVHLqvr1jJxAI\nWgswtcdMetsJM4zj0uy7ydZN/UokEojFYiiXswgG11H/0kb9gH1DazAYgSz7UK1WYJomqlUdS0sn\nAYidq7KsYG5uB6pVcTQymUwhFksgHo9j585dzpjdPj4lboqMoliMQVUVFIsFrK2tQVEUxGISVFVF\nKjVllWtj/C9y+hStsopbKu22IhIJN6z7yWTSeUawdzGl0zOIxWJ49913nCPM7T4LGg+N+if7eatQ\nEPmdDEOcegCwafErlZqq2cljOLlxUqkUfD6RdHtpaQk+n4Tjx4/B7/db6Th80HUTsiw7CwmViu7U\nEfs4lc+nYGZmFsFgyNqlrSMajSIYDGL37rNajqXqj5HFYmJyqDZ5dzAYbFrPG2n2ft0uNmz3HaHs\nTbvQ6Yxhq4GMYRgoFNY2zcCKPDgi4dX09AzsJHLVqji7C8CZuS2V1hEKiRnZY8f+Y82EmlBVP5LJ\naQSDAZRKRUQiYayvJxCNaojFNGtW2LS28hmovaEmFoshEolgejrtrFDU/s6Nrkxu9rsP2ijO+BMN\ni67r0LRozXZa2dpZl0WxWKiZrBDtgNhOLY5a1bMf4mr/bufOnVhdFTsB4nGxhVdRVESjUWtSeGtC\nZpHwUUEsFoPfr1oPlmLHz54970GpVEClomNmZhrhsOZMCvVydr+2/agd1M/OxpHJrFtl2ohxSYJz\n9NP6CU5uBK7KUK1O++NGD5PN6kurxI3AOoAglpeXNpXB3j4fj4tJopmZWZx99nnO7ltABKymac7N\ndJoWQbEo8oSUSgUUCgWk0yJBpb1yK8YAVUQiEayu+qHr4gIFkV8jaE2GVp2rj1vthOn08xzkBAv7\nbqrVTf3y+XyIRqPIZMSxXVujfkDXdSvBeBD5fA7iAgAZquqHaa6jXF53jlRVKhUYholkcgqzs7M4\n++xzEAgEnNixEzPXHg+zJ1xPnjyJdDqOuTm/9XApWbt3MkgkEs5u3PX1dSwuLsLnq6BU0pFMppzy\nlkolRCKRpnW/2cRX7RHmVp8FjY9m/ZOmaZiamt6UtB7YOL5eu/gVDodhmgbC4QjW19drjm/5EIlE\nrB3YJUxNpaEoYqJHVVWsreVgGCbC4RB8PnFjWrVaga6LSRHBxNTUlJU7R8Lc3E4kk3EsLuaaxmqz\nY2SaJhbmUqkp53eqveiilXZjt04ng7kjlBM6XetkxrDVQMbuCGrZ2cVrt+Elk0lks1lUq3mYprjW\nWKzeTyOXy6FYXIOuG0gmU0ilpqyjG2LCaG1tDdPTaaiq37nZRpIk62hVAKVSaVNiUtM0ratPVbTi\nxpXQwz7jTzRMdlsgtqJuNLciIZ7YsWPfOmfHkriqVeTFso9i2aseyWTSuXrc/r6ZmdlNN2kAwDvv\n/K/JpLLIr2O/VtPEtcr2hJL4r+TEm7htQR3Y2X17oGAfDbPfx96KDADT02kAYsVK5AUzuSpDDXXa\nJ9UOUNvVl0Y/U1VVRKNhZDKbb68E7N0mVefrsqwgmUxAln1W/MJaqZQB+CHyKMiIRjVrt61uLdRs\n3KIFiIc4cUGBYuXj8Vm3bSWdlXp7cN5uJ4wb2HdTPxrdnNootmVZHEeOx+NQFBmlUhGyrECWVZw6\n9S7sI17RqMjvIeIpal35rG56AKwdu0sSnP5U02JYXDwJRVGsB0+fM6laP2kqdteY1murm3bViB0Y\n/pZ1v9HDtBtjb+pfN/9uzRa/ZFm2+oiTqG3j7TGkyG+qIxwOw+8PIBQK4d1337WOH4oFhXg8jlwu\nB02Lw+cTNxyrqh/hcAR+v9/Jw9ZOq2Nk9qU+9smOTtr4TsdunUwGc0coJ3R60m7GsNVAJhyOWjkt\nNogVaJFEqnaixd45I2ZXdSuLeAnhcBiBQBDF4jp2795d9x7iOIOq+p38OLUDT/uqVLHdT++6Y3Dj\nSmh2ZuRVrdqC+omY+mMftUex7MkW+wrTdFqDJIU2fV9tZxUOi7PTteykxD6f7Hyf/Tp74hcQ56tF\n7iwTkmR2lMegF7VxHYmEnduxIpEwJMnXcBWrHldlqJs+qdP6Uv8zAUDXRXJke9u8PdlqGEAoFEYi\nkXBur7RfV3uUMh5PYGnpFHw+36ZJIUVRkEqlnPcyjKo1eRPA3NwuxONxqGrAuvFnc1LKYDBk7aod\nz50w7LupH53EtsgnF4Lf74ckRSFZt8yFw2GEw+LmnlAo7CyMRqOalehV2RIbzfprXReXFSQSqZr+\nWPydaRrOLrl4PO70k+l0HMePn7SOggWdHbi1N3sN+rOg8dNPQvHaPFGN2vhEIoGzzjrbygEVQbVa\ndi67kKSwlTvHD8MwMTU1jTPP3O1MENm7w+2+qxOdHiPrpI0f9NiNO0I5odOzdjOGnVy1aldWe5bT\n76+fzTedYFtdXQUgttCJXBl+KIq6ZcePWDnwwzT1pgPPZDLZV76JQW/N7gQ7M/Kqdg81jWJJURTn\nAc7e2VO76tEuBpPJJHK5LDKZjLOrJhgMQtM051hXq9dNTU1DVf0oFgtDPbtfn2cHQFcxzlUZAjrv\nk7qpL/U/MxgMwjTzsHPPaZoGXa8iFIo4SU3rHwZrj1LWTrzUX+Ns3zDi9/ud+l870J6ent7ShgQC\nQesomDvHoTvFvpv60Uls23Fy6tRJBAJB6yagIM4++xysr69jfb206Xa8QCCAUCjcsC426q9DobAz\nibN1Eki0Jfbtcj6fjHBY3BCpaZoz5lYUdcvNXsP4LGj89Pvv1mph8LzzLkA2m8Hq6iqy2TIqFTGh\nMje3C4FAANFoZNOC4MzMLIDuxlntyqFpGlKpKWuXkL+n3T61ehm7cUcoJ3SGqtlAplGHMTc3C1lu\nvr209mflcmKnjq5XUCwWYJpANBpxBnnT0zNOJ9Ns4OnFjsGLZSYCOn+oqT1PbN9Sp2nRnla2d+8+\nCysrKygU1iBJcB4s639Gq9etrvqGfna/Pq67iXGuylA3+qkvjY6AhMObE4S3m7ytHXDaeTpE39x+\noaV+DGDn37HzDgQCwbHdCcO+m4YtkRDJje1bJO18kKurqzh16qQVG2KRNJ2eaRkbzfJuNXtYzOfz\nWF4+DUkyIEki/1UgEIBh5J00CszrRv1o1bckEgns2nUmyuWyddPiStMdnY12dPdbjnK5DNOElQi8\ns7o+jLHbdt8Ryh52yJoNZOo7jGQyhmpVaXuUK5/PW+f0fQiHI9Y5XRGciUQSIqFyEABaDjyJaLTa\nPdTUnyeOxxMwDBOqqji3HnQrmUwikUi0nUhq9rpx7yC5KkPd6Le+dDIx2+o1jeIpHI448dSujagd\nA9TnHQgEgpidPYM7YWjbkiRpSy7IZhM9nfys2lhs1hcC4ra7UGgjxYHIKRLB1FS6r/6bqFarvsXO\nSwg03tE5yHFb/eKCvWu8mxyGwxq7becdoa5N6Dz//PP4yle+gvvvvx/XXnstAOC1117DPffcAwC4\n6KKLcO+99w7kvcb1OttGg7dWA7r6M4e1R6rW10vW2cmNbdrbtVITjbNG7VGz88Q+n4RKpdLX+3W6\nOt7p5PO4tSXjPulE46Xf+tJJPNmvEVcnV7dMkvYaT+3yDojEsFyno8nW7Zi+0URPLxrl1jp58gR8\nPt+WFAeFQgGRyJSzK55oEDodzw163FYfc5IkQZZlaxGytzw4wxq7bdcdoa78xseOHcNPfvITXHbZ\nZZu+ft9992H//v245JJL8NWvfhV//vOf8cEPfrCv95qk62wbnTm0j1RVKmXrZquNTmtYlXpcJ8iI\nxl2z9oi5YPoz7pNONF5GUV9ajT167Zu3SzvBMQY108+YfhD1qjZ27WvO7XisTYSeTEagKNGe3oNo\nEAb1DDjMcavdF9fuoKPeuPLJpdNpfO9738PXvvY152vlchn/+9//cMkllwAArr32Whw5cqSvCZ1J\nu8622ZlDEbTqSAJhkibIiEapVXsUj8fHNheMV2J+u67KUG+GWV+GNfbYDjmjGrU36bTmdrFoDPQT\nV8PoxxrFo9i5oFjXqXs/Hml7G8W4NZPJeGKMOe5cGf2GQqEtX1tZWdl0Le7U1BQWFxdb/pxkMgxF\n2agwtZ2+aZqoVHLQtK0DAcMwMD0dHbuVn04GLaqqo1RqdOYwiGQy1uI7+7eysoJoVNn0mZqmCUUR\nM6teHnR5uezA6MrfKua8ZpRlb9cepdNa17E9ivK3ivl+t5J7ue4Aoyn/JMUbsD3KP+yxR69jAC98\n9s3am5WVFaTTozm6Mkkx5+WyA4Mb0w+zH3NzTD5s7OO6N0nlH8a4td4gY3OSPvteDH1CZ2FhAQsL\nC5u+dtttt+Gqq65q+X2mabb92SsrBef/02kNi4s558/VahVLS1nnyt9aul6FJIXGajW3vvzNKcjn\nq1vOHCqK0uH398Y0TZw8udjwOjrDyCGRSGBpKT+09x+mzj/78dRp+QfR2LWKOS8Zddk7bY86je1R\nlL9dzFcqvW9b93LdAUYXc5MSb8D2Kf/wxx7djwG88Nm3am+SSbOj9oZ93AYvlx0Y3Jh+mP2Y0Dge\nd+xITtTn3+p1/ZiUeAMmr/yDHrfWG2RsTtpn3+p1zQx9RmPv3r3Yu3dv29elUimsrq46fz558iRm\nZmZ6ft9hb01284y3G/kiOjkrSUSNddoejVMuGF3XYRgGTNOEzyejtiiTlK+DaJBGMfaIRqOIxWIw\nDMP1dmJQWo0xDIPtzSTpZfzca1yNIu/UOPXbNNlG+ew57HHrdskJNypj80mpqopzzz0XL774Ii6/\n/HIcPnwYn/vc53r+ecO8znYcckp0cv5/kIG/Hc7uEw1LN+3RuOSCyeVyWF4+DUkyIEkyAoGAcyy2\nm5hnglPaTiZ97NHIIGK81RjD5+MYY1L0WofbxRWALTfKAaMbu45Lv02Ta9Ttf6/j1k77Az5XDpYr\nrc+f/vQnPPbYY3jrrbfw8ssv42c/+xkOHDiA/fv34+tf/zoMw8Cll16KK6+8sq/3GcaVaF5JtDzo\nwB/mIJVoO/DS9dqrq6sol9cRCgVRLq9DkiSUy+vIZrPQNK3jmB/XB1CiYdpOY49BxXirMUYoFEK1\nyjGG1/Vbh5vFFSB29Te7UY5jV/I6t9r/bvuybvoDxuZguTKhc8011+Caa67Z8vXzzz8fBw8eHOh7\nDXIrpGmaKJWKW877SZJkVfb4WFTAYQW+lx5IicaRF7Zm17ZzsVgM2WwWpVIJgIlCoYCpqemOYr5V\nO+T15HVE7WyHscegxxrNxhjJpLfzkdDg6nB9XGUymbZ1kGNX8jK32/9O+7Je+gPG5uBsi/2Bg9oK\n6YXzfsMOfC88kBKNs3Hfml3fzsViMWiaBsPQYZpmwxsP6rVvh9onvSfyukkeewxrrMExxmQaZB22\n46qbOsh6RV41Du1/u76sn/6AsTkYW2sHNeWF834bgb/VoJIX24HNoCOaPI3aOUmSIMsKfD65o3Zu\nFO0Q0XYxjmOPYcY4xxiTZxh1uNs6yHpFXjSO7X+9fvsDxmb/OKHTBfu8X/3q8jid9/NC4BPR+BpE\nO8d2iGhwxnHswRinbgyjDrMO0nYwju1/Pcai+zih06VEIoFAIGhdo1mFYRgIBMYn0acXAp+Ixlu/\n7RzbIaLBGrexB2OcujXoOsw6SNvFuLX/9RiL7hvfRA5jrNV5v3G4opdJpogmT23bMgr9nmtmO0Q0\nWG7kGmg1pmGMU7cGVYftehmPx5HJgHWQJl4vsTPKZ1L2B+7ihE6PGiWIGqcreplkimhy1Lctqqpj\nFM13v0ld2Q4RDdYok6p3MqZhjFO3+q3Djerl7OwZrIM08bqJHTeeSdkfuIdHrgak9ro2kTxUcq5r\ncwuTTBF5X6O2pVRyt23pBtshIu/pZkzDGKdRaVYvM5kM6yCRxc1nUvYH7uCEzgDY17XVV15e0UtE\n/WDbQkSjxnaHxhHrJVF7jJPtiRM6A8AreoloGNi2ENGosd2hccR6SdQe42R74oTOAPC6NiIaBrYt\nRDRqbHdoHLFeErXHONmeOKEzALyujYiGgW0LEY0a2x0aR6yXRO0xTrYnTugMSCKRQCAQhGEY0PUq\nDMNAIODeLVdENBkatS1u3qBHRJOPYxoaR6yXRO0xTrYfXls+QLyujYiGob5tSSZjWFzMuV0sIppg\nHNPQOGK9JGqPcbK9cEJnwOzr2oiIBoltCxGNGtsdGkesl0TtMU62Dx65IiIiIiIiIiLyGE7oEBER\nERERERF5DCd0iIiIiIiIiIg8hhM6REREREREREQewwkdIiIiIiIiIiKPkUzTNN0uBBERERERERER\ndY47dIiIiIiIiIiIPIYTOkREREREREREHsMJHSIiIiIiIiIij+GEDhERERERERGRx3BCh4iIiIiI\niIjIYzihQ0RERERERETkMRM3obO0tIQrrrgCzz33nNtF6Uq1WsWdd96JW265BTfddBNefPFFt4vU\nkfvvvx8333wz5ufn8dJLL7ldnK49+OCDuPnmm/HpT38ahw8fdrs4PSmVSrjuuuvwq1/9auTvzXgb\nPcacu9yMN4AxN2qMN/exj+ueV+MNYMy5jX1cb7wac4w39w0i5pQBlmcsPPjggzjzzDPdLkbXnn76\naYRCIfzyl7/EG2+8gbvvvhtPPvmk28Vq6fnnn8d///tfPPHEE3jzzTexf/9+PPHEE24Xq2PPPvss\n3njjDTzxxBNYWVnBpz71KVx//fVuF6trP/zhDxGPx115b8bbaDHm3OdmvAGMuVFivI0H9nHd82K8\nAYy5ccA+rjdejDnG23gYRMxN1ITOkSNHEIlEcOGFF7pdlK594hOfwA033AAASKVSWF1ddblE7R05\ncgTXXXcdAOC8885DJpNBPp9HNBp1uWSdueKKK3DJJZcAAGKxGIrFInRdhyzLLpesc2+++Sb+/e9/\n45prrhn5ezPeRo8x5y434w1gzI0a48197ON648V4AxhzbmMf1zsvxhzjzX2DirmJOXJVLpfx/e9/\nH3fccYfbRemJqqoIBAIAgJ/+9KdOozDOlpaWkEwmnT+nUiksLi66WKLuyLKMcDgMAHjyySdx9dVX\ne6oRAIAHHngAd91118jfl/HmDsacu9yKN4Ax5wbGm/vYx/XGi/EGMObcxj6ud16MOcab+wYVc57c\nobOwsICFhYVNX7v66quxd+9exGIxl0rVuUblv+2223DVVVfhF7/4BV5++WU8+uijLpWud6Zpul2E\nnvzhD3/Ak08+iQMHDrhdlK785je/wXvf+96hb01lvI0vxtzojCreAMbcuGK8jRb7uM5MarwBjLlR\nYh/XuUmNOcbbaA0y5iTTq/96debn52EYBgDg2LFjSKVSePjhh3HBBRe4XLLOLSws4Pe//z1+8IMf\nOLO84+yRRx5BOp3G/Pw8AODDH/4wnn76ac9s1QOAv/71r3j44Yfx4x//GIlEwu3idOX222/H8ePH\nIcsyTpw4Ab/fj29+85u48sorh/7ejDd3MObc42a8AYw5NzDe3MU+rj9eizeAMecm9nH981rMMd7c\nNdCYMyfQnXfeaT777LNuF6Mrx44dM2+88UazUCi4XZSO/eMf/zD37dtnmqZp/utf/zLn5+ddLlF3\nstmsecMNN5hLS0tuF6Vv3/3ud82nnnrKlfdmvI0OY248uBlvpsmYGxXG2/hgH9cdL8abaTLmxgX7\nuO55MeYYb+Oj35jz5JGrSbSwsIDV1VV88YtfdL722GOPwe/3u1iq1i677DLs2bMH8/PzkCQJ3/jG\nN9wuUld+97vfYWVlBbfffrvztQceeABzc3MulopGwYvxBjDmyLu8GHOMN/IqL8YbwJgj7/JizDHe\nJsfEHLkiIiIiIiIiItouJuaWKyIiIiIiIiKi7YITOkREREREREREHsMJHSIiIiIiIiIij+GEDhER\nERERERGRx3BCh4iIiIiIiIjIYzihQ0RERERERETkMZzQISIiIiIiIiLyGE7oUN/uvvtuPPLIIwCA\n//znP/jIRz6Cl19+Gd/61rfwmc98Bo8++qjLJSSaHM3i7cYbb8T73vc+l0tHNHkaxdwLL7yAm266\nCfPz8zhw4IDLJSSaHI3i7aWXXsL8/Dzm5+fx0EMPuVxCosnSbFwJAI8//jj27dvnYumoE5zQob7d\nfvvtOHToEF555RXceuutuO+++2AYBmRZxsGDB/HKK69gaWnJ7WISTYRG8XbhhRfiwIEDuPTSS90u\nHtHEaRRzu3fvxs9//nMcOnQIf/zjH1EsFt0uJtFEaBRvF198MQ4dOoRDhw7hn//8J/L5vNvFJJoY\njWJuz549qFQqeO2119wuHnWAEzrUt9nZWXzyk5/EZz/7Wdx99924/PLL8dJLL+H9738/AOCKK65w\nZnqJqD+N4k1VVSQSCbeLRjSRGsXc7Ows/H4/AECWZfh8HE4RDUKzPg4AdF3HzMwMgsGgy6UkmhyN\nYg4Ann76aXzsYx9zuXTUCY5AqG/Ly8v4y1/+gnA4jLm5OQBANptFNBoFAEQiEWSzWTeLSDQxGsUb\nEQ1Pq5j7+9//jt27dyMQCLhUOqLJ0izefvvb3+KjH/0oYrEYFEVxsYREk6VRzBmGgb/97W+46qqr\nXC4ddYITOtSXbDaLL3zhC7jtttvw5S9/Gd/+9rcBALFYzNkSu7a2hlgs5mYxiSZCs3gjouFoFXMn\nTpzAj370I9x5550ulpBocrSKt49//ON45plncOrUKbz++usulpJocjSLucOHD+NDH/qQy6WjTnFC\nh3pWLBbxpS99Cbfccguuv/567N27F0ePHsWzzz6L97znPXjuuecAAC+88AL27NnjcmmJvK1VvBHR\n4LWKuXK5jLvuugv33HMPIpGI20Ul8rx28QYAPp8PkUiEO+KIBqBVzB09ehS//vWv8fnPfx6vvvoq\nFhYW3C4utSCZpmm6XQiaTPfeey9ef/11fOADH8Ctt97qdnGIJtq+ffvw6quv4uKLL8b+/ftx4YUX\nul0koon11FNP4aGHHsI555wDAPjOd76D2dlZl0tFNJmeeeYZHDx4EIZh4PLLL8cdd9zhdpGIto19\n+/bh8ccfd7sY1AIndIiIiIiIiIiIPIZHroiIiIiIiIiIPIYTOkREREREREREHsMJHSIiIiIiIiIi\nj+GEDhERERERERGRx3BCh4iIiIiIiIjIYzihQ0RERERERETkMZzQISIiIiIiIiLyGE7oEBERERER\nERF5DCd0iIiIiIiIiIg85v8BtdMZQfEyDcoAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f95979bd240>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, axes = plt.subplots(ncols=K, sharex=True, sharey=True, figsize=(16, 3))\n",
"\n",
"for i, (ax, x) in enumerate(zip(axes, X.T)):\n",
" ax.scatter(x, y, c='k', alpha=0.1);\n",
" ax.set_xlabel(f\"$x_{i}$\");\n",
" \n",
"axes[0].set_ylabel(\"$y$\");\n",
"fig.tight_layout();"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [],
"source": [
"α = 1."
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [],
"source": [
"skl_model = Ridge(alpha=α).fit(X, y[:, np.newaxis])"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {
"scrolled": true
},
"outputs": [
{
"data": {
"text/plain": [
"array([ 2.57769656, -1.10174667, -1.89648713, -1.77263833, 0.40635017])"
]
},
"execution_count": 13,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"β_true"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([[ 2.57477609, -1.09886915, -1.89802824, -1.77224606, 0.40522575]])"
]
},
"execution_count": 14,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"skl_model.coef_"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {},
"outputs": [],
"source": [
"X_α = np.vstack((X, np.sqrt(α) * np.eye(K)))\n",
"y_tilde = np.hstack((y, np.zeros(K)))"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {},
"outputs": [],
"source": [
"aug_coef, *_ = np.linalg.lstsq(X_α, y_tilde)"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([ 2.57477472, -1.09893438, -1.8980117 , -1.77228773, 0.40523711])"
]
},
"execution_count": 17,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"aug_coef"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"5.936439947716643e-05"
]
},
"execution_count": 18,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"np.abs((aug_coef - skl_model.coef_) / skl_model.coef_).max()"
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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9zsz8nKjzAfqe6PfE+GlUn7ZQQrO+mh4EdF2DPC/B2AxpmiEIQjDGDBWwaWrT\nOnN9vUQQBJhMJug6Pc3BR1mWZnoKY9SaBehx5jf7PzWeq4Jmg4b9wKqq4CCKQjQNOTVq4RA4OjpG\nEBxt/Y7GzLQoilEUOVyXqOplmQPw4LpUzdc6TFVVYhg4+n6A75OeiGaXDcOA5XIBIQTqmtoI+57D\n9301QYsqqZTIJP0eOgxvDxB00K4rpMB2FsF965xzgaapoANorUFiRcHfDh7LxNoMWKmnvlK98j3S\nNFXjTXu1frlKotCeqwXFx5M2qGIXqtaopWKYUeCWptmNMaqA1hIg3Q1KYpLYYxj6EIJjsViAMT0G\n3UPX1WAMI4bmSt+g7xmGoTN2oxkIm59FEPho2+4Gm3MftTzG/sbi9fGazEctsq+n5OiRx4tFrVh2\n2pY9BAExAZbLCmVZGnsnn0DCyFQMk+j7Fo7jKc2qSDGigxs2odsupJSKscNVW7IY2TUlUcsyN7GW\n/rsolop1LREEIbIsuzUesyLnFq+Jp9r5toSQjgNXguTkp6iQKCHlasjGXdfe7KwAgDCMsVgsIGWD\nMKQkDQkkR7i8vEQYEoMnDCO0LRUXHUeovQF49+5cTV8Vqg3MRZqmGH8Musgyny/Qdb36mVCMXmLu\naPmLzc/Jnsl2h03oWBjs2lIyxnpFc/vjNeNBM2MAqHarEEJw8zM6AFOS5ujo2ATXZVmgKHIsl3Mk\nyQRhyOG6xIwQQuL4+FhlrylRpGm6ruuhKJY4Pj41FeIkSZSg3qAqPwOCIEAUuS9aQbNBw8fBLhu0\nrr6PoaseUkpEUXynw1jRxinhkedLAC6m0wnSdALOeyMqF4YhiqKAlAJd18D3fXN4pck+tAaTJIXn\nUbKHmDkcYRiqBE+rqO1EQd+0t7Eo3ngE7fhzGLMI7lvnFIx7Slyc1qzu1d7W4mVxmHjMfg/cDFjj\nOFYsSS1oynF8fAIpqc8/SVK4rmOCQgBq8lQ4WrvCTB/kXBgGmxAceZ7DdalCuLoHjPZ7KNuFadOg\nYFOgbbVYPtk8VReJRUC2SKKQJJLPEUUxjo6OAdAhUjPg9GdBBYZVawklO5mhi+8LNv3N5iRHi4+P\nx9rbU7G53+v4qOs6tG0LLe4NQPkPqDVPduq6HqrKQdPUEIKjritMp1MkiY/FQoAxSg6VJUeSZPB9\naqHUtr5qu3BH45AlqqpaYwroooEu8mms2ulJ52ecaL3vvWrcFsN9zBY4i08DT7VzbQ/jGI58KSVT\nyAZovfZqd4lNAAAgAElEQVS91rZZ7zK4C5vaoHVdg6ZTdigKicVioa45KPunAh9jDJPJ1Pg8ITji\nOFnT3yF5Ac1k7RQrFqaty3UXSFNi/6VphrquTHy6+RmQfxf2TPYA2ISOhcG4pWQzU7qtMj82iDx3\n0DTtVvHkvu+QJBmEGEzWlh4nzUQT/TqcU5a3rqlqJCWpq3MuEAT0HKLKOxDCU+OlYzUJITTVJx2w\ndF2rWBK1SfLQYykg9zwSaKZD98tU0GzQ8HGw6wa9vrZXtFDCaurObQ6jaRqUZaFaq/QWSgEqMREi\nldTpTeJSStLnSdNk7VpjDZAoStC2jWI8kOMGJNJ0ovQF/K3vYcwUcBxHBd0NdNIqCHwwxkzFdBws\nb4LYS1q4/Oah21b83w4eut+Pn7f+fyBNJ2a8cJZNTPtSmmbGhuI4Xns9ZzStijFfsQAGjEeqklDr\ngGGgfn6q2K3YPdSKSJN19PMY88zeL4RQbZWr1ikhpElQ9j03a9vzGNq2QdOQ7o/vh+j71ty/rkIm\nSbp2EN031to2f6MnOVp/83p4rL09FZtxDbGmGcpyPFiCw3GgNKxoSIXjeAhD3yR5VmLkLYZBwHE4\n0jSG47iKKeAoxg5UW9eg9HWo7Z4xX+nWUdtF0zRI0/TO1ilg3N658n936Wzc91mM/aUV/7d4bjzV\nzh2HhgfQ8AuYcwsxSF14XmBalnUyRDPXdl2vOsbVRUDPcxEEAbIsxWJBbNs8X8J1j5GmqymUpDkn\nlfZWO7JJaeJT7Xs9zzN7hm6lJqkMjiAIzSASev2VbVOCCXCc0iR0xsWcMeyZbB1W7dViDbuO6951\nrLG+XhyHAChBw5inJhiESNPEZGKHgauqqWeyvmVZKaqugO8zcx9d1yhNA28tQ6wDby1+qas5vq/F\nkkl0GZDw/XBNpO8lKmg6aNjWqqbZEBZPx0PGbOs1ohkFGttaJza/H53w0GNTdZuGZqDVdQUppXJc\nQrV0ELU0SW4Gn5qVRombDEEQII616KpQU65WLYZ0j4FxxuMAgQ67lAjVorMATBC9i7gzOciVW6Bg\nYiVMadfr28Ku+/0YOmAdr4UoCo0oMQAVvDFzKNJr7rbX0wmSbcuLDqC+sq9GHRpXehpUuRyM3VdV\nrRKupKGTJLFK5BB7SCeNtG/Qovn6tfS+rN+T3ieIYRSvjVfdt6qe9Tf7jcfY21Oxbb8PwxCex8y6\n1uzQIPARBAxBEIExT03K8hCGsWr35XBdBs/TYvuki6jbLekg56sYC+i61ggsj9em1tvpun6tCDM+\nGOoq/bb1DEBpd60XJx4Sw+2S/LGweAweauf6DERMnBY0vEUnXWCmAHuer/wSgx76QvHnw/YQ/Xra\nfoQgBqv2q6u1P2aCr2JWGvohVZFv5eu7rkXf92q8uYc0TeE4romLg8BHGEaq/Z/OdDSZmPaHuibW\nexzHJtm8OUJ9/B5u6w65772/VR9pGToWN3DfuO7bKhsAZZaJWkcV2qqqVLUjBm0UVDF1XVJcp7Yr\noR5L06zoYEDaC6S8voTrQlVGI8Wq4MrgV0ZYVQX06E0ySmL86ElbpA0iEcepouZjbRT1S1TQXrNv\n/lPBY2jWpNfRoe/JAWkHvOkUN78b0mASEEKaBNL4IUIAfd8iy6bwPBdZNkEQUHtV18FUVvSaGoYO\nSZIascgsy9T67jGZTLFcLrFYzNWkOGqbOj4+vxEgaFsrihJajFK3mvS9QN8LFEWOIKAk5m3rnO61\nv/Wztmv17eG+/f6252z24mdZZq6jk4g0TUOqyTrZra+3+vfN16IgMkDfD5jPrwC4cF0gimKV/I9Q\nFAsIQRo6i8Uc8/lcTcWhcerT6ZHRkBoGDs45yjJHmmZI0ynKssRYMF/fTxSFZhKWFv7f575762/2\nH4+xt8dAH9q2xTWO4yAMA8Og0620upWQ/i8xDIOpjuuWSJoKOaiigURZVlgsFqiqCoz5YMyH7weI\n4xQAUBR0H3m+ABX1pNHGktIxjFDHcZTeVoiqKpHnrqnWj6GLN9pWwzBaK1bsGsO9VgucxaeBXe28\nrmt0XasKaVQwjOMEy+VCJUIAgFqLSTKiV6xrzyRSHtLyO2ay6yLkuNWRkrHOSMN05Zs1wztJYpye\nvlOMcmqj1MVO3WKtEccROKcWK9Leohi4rms18dKD53kmMbXORMcNpix9Zg00mx6gwgqwmxzAXT5S\nqunKnucdpP3bhI7FVty1AW0zCGpDyUcBMVAUhZlm5fuBqYR2XWdG2bZtq8ZWClRVaSaTtG2PqioB\nCGRZpjYXH3VdQkrHsHWSJFO93YDjMAgxGMaD4zg4OjoxIpxCDGokX4M4jsG5uOHktx1UnlKFtUHD\ny+Mhh5gVkydWlfsYVVWpA+L6tKjNtaFFu+u6VNM5BOI4MmNbAWKz9H2PPF/C9wPM5zPoKgcp/At4\nnqtasQLUdYmypESk45BOSJZNEIaRcbBJEgOIlTOVqrLhI4pW70mLRuqpW57noCwLOI6jdA3I6Wpa\nqU6kjgNfzZQAoFgMq/cuhDS6JhZvD485WN4WsK7Yka5pj5JS4sMHoGlgJthsHq5uTrShwE3v28Q8\nCxFFIXSb1HKZq4lyLpqmRp4XmM9ncF3S8PA8D1VVQQhpEjxBQIFwVeUYBmFGqdZ1Dc8L4Dil2vNJ\nBHxz+tU+JnI0rL85DLz0GmqaBnkulW+Bir/8tbgmihIw5hkWgPajuh3C9wOlX1iqtinyEUdHx2aK\nY1UNipHqgTEPTVPj8vJCJYEkgoAKcNRG3wEg267rEmk6wXR6hLatEQQR+r6F768OpzT9jqt4LYGU\nMMMviGEHVcFfb5XYNYZ7rRY4i08H99n5fD5H01TmMa7LwPmA5XIO12XIsqnxOXTOEUjTCeq6hpS9\nmkTXmSEc92HMZNe+ua5rVFWFyeQIk8kEk0lrJsBqjVNdlKFJwjpJzND3rplQxTmH74c4Ojq64Sv1\nnziOVbyaKz07R7VbSSwWc3RdjySJzGRWgNi/VEjlavQ5TTMet2Hdxsa/7TvZ/tmQcLs+O+4b+3YX\n2Ajd4sHYNIimaRGGME6273sURYG6ro1z1hOmkiRDFAVKsLgAIE2AXxSlyvgSHZcohh7qugNjLvK8\nQtu28DyGL774EkmSKXHZDtNppjbDHlICZZkrXQVHJYagppMQU6FtW9Nzuq1N7LkqaDZoeHnseojZ\nxuRxHCBNE1UtWB0kNzdz7Qi12CNpAMzRtjQCsmmIESYEicslSaYqjrQetaDcmFmzWCwQBDT+mJgM\n5ODrusX5+RmKIscwDIgiXX2RilXG1cQPxyRE9UjmVSWFppVQNbVD39NaZswH5wWCIDQJGv08zagA\nYBJPAJQDlQjDCEWRH6Sjs3gZbO6PYxvTYqg00a3FfD5H29IhM00zs+9rjCfaUFI0R98PyLIMbduC\nMdIO6HtXMewGNE2NLJsgjokGvljkiOMESZKodl6qQurWDqKIc7iuDyFoFCwdLjNEUTzq6+8wDCQC\nriuaUYS9X//W31isJuGsWCt6amiWTdbiGn240skP36e2SX0N8ks0RMJ1iUGaJBH6fkBVUWFDH6ya\npoPnuUqDZyWMWlUFOAfyfA7P85T9xOB8GE0Ypcq4vn9tX1Tpd5SOIhX5KM5kZpzyNiburjHccxfw\nLCx2RV3XquC9mkgqhB6U0RvWnF67tL6pLUkX3HQsOU5q3lZ42OabqYAi1GteIklcRFGIuqbC4TAI\nFMUSSZIYJs44kZKmqTpn0fmvrkuVjPKg9X+0IPL4fXRda1jydV2aqZZt2yFNEwxDj6oSKkaAYcpq\n1qEusowZhxQT73Ye2PSROrlFcfF68fOQ9gKb0LF4FHRvIwClaRCpSg1ToneDEsmkquvV1SWGoUcY\nLpRSumv6rDkPjC6JPgS3LY0iJx0EwPeJCeF5PtI0xdHRscrcanaGgziO4DgJmqZG14WYzRaQkiMI\nIgQBVWfrukZZljg9jSAlV4H+TcHIbZvhYxM8Nmh4Wex6iLmLyROGIZIkXasmaAghTKIRWG3wTdOi\nqkp4noc4jpEkCfq+QxBESmh7Ca3NoQNOz/OUfRDbTLNiiH1WK4aMFsNz1SQsqkjopI+UQlHRI7Om\nqM+6Q9/3itnDIaWjxO6IDdT3Pb799j36vsPJyYl6z5kaIylNMECBgqf6tCXCEDcEVoUQNw7k+jPe\ndxaDxfNh8/vWNiZHYuPUVz/AdQN0XYOyLNVEDapAjteRPojpAgBjJNiqBZOlFMrGAnDeGy0sKggs\nUVWFEULWrLdh4OrgGaspigJ9v4TjMDRNi6LI8f/+XwrfdxFFESaTKah1lyt2DzfTs0j4tTf3uo/Y\n7m987OntWtyDh+yp+tDWdR3ynApp+lBFe3m4ZqcADHNNX7/rOiyXMzAWwPMY0nQKgNrhacoOJVo4\np9HFpGXoQMoBjCWqTYuKEMRqJVHT09Mz5aMG4zebpsHJyalpn9Q+j4psdKDVrFQhpGpp7uA4LRxH\nQojBaHeRbtfqcDzek3Tr2bbP72O1wFlYaOj2pM1pq/pcxPnK5tUzwBhpzQghzOTF1e8doyml25w1\n63Xclk9/k28uihxFURrGuO6a6LoeURSCsYlhbFMMXCOOU5OoAci+27ZREgOeYtGR7IbW2dMDCMZx\nOO0zPTjvVWzgqfcPzGYzBIGvWDm90ZEkfbxKJXVXsgXjdrNdW4rHPlJK0mQdf1Z0L4cnjm4TOhb3\nYhxQaEZA07Qoyxxa7yNNaZIOsQI6dF2Puq7R94MK4HsEAUPfd1gs5qpXcVCBuUBdl6ZlhOi5rdI3\n4UjTCG0bIAgYAFdp4fCNDO26Onwcx/A8YipQ5laY0bSOI02PJCWP2jsN9znG29mg4WWxS9LsMe0I\n2mGRvpNrqKBRFOGLL75AWRamnZAcJiUWy7LC9fWVoqw6cBwGz2NKPLI1dqHZN33fmRYpqm6s1klR\nFGaEOTF0SNtgGFbMMqLgSiVWR+0nZVkqJxWjLElfpyyXKjHK1EG3gBajJXaOYw4Avk8J13GQrCsZ\nOnAYO8G3OAbS4nZs+751ALgKHiW6rjdUaWLCdSaYq+saaZoiy6Zra4XzAZxzLJe5qvJXSnMtQpLE\nRkMjCGhKYl03aJpa6WNFEGJAUZSIolC1cnhwXUclkkoAHG3bgzEXWpxRa+UURW7aPaSEsdGigNJp\nw5rg8z5i099EUYQ8v10by2I/8dA9lfSrGnAu4LrxaBw5JUNpotVgHkvJltWBqGlatG2Nq6srpOlE\nTZcKzAGubRv0PcVMruvi5OQErksjjIuiRJ5/AGMeaPhFgDAMlO6hVC2VvWpXpniL2HCrogWwYhSR\nLlyN+fzKjEvmfEAUBSrxwyFEC84LFc/hxqHsIZMv99WWLd4e7tKMC8PQCPHrOpqOO0n831srsI1b\npwA684Qh2WzX0drXCSD92peXl7i4+GBiSt+PkGUpgiBAXTdmsurqNTql5TiodswQUgpcXl6g71s1\n4TVU1wqQ57lq56SY2XVdw6zRyRhqxd78XBxIySElU2dEAcakuodGFXd645vpjNliOj1W7313G9Y+\nkpiBci3O3fZdHQJsQsfiTowdYts20OrrUnIkSaoytxQwkrCXozQJBjWyvIfjSLRtjevrAr7vIctO\n0DQf4PseptNjU7Vp2wa+H6qpWC4Agbpu4Tge+r412gzzuWuyv1pEGRBmxJ3reuCcYzKZqlGZndFJ\naJrGUHUJVHHVPeQ328meb7ydDRpeFvclzcZMnjGo/1cYvQFAi6zBtFmRI3LBuf7u6TCXJKk5CAJA\nWRaYz+eYz69RFIWqHjIwJkZCrYGa5uaaCqqUEk3TmNcoyyNEUYy2ZRiGXNFTyXHTuOUedU2tUNT+\nVStByUBpIDhwHA9C9NAitZz3iqpKo5/jOFLsNNIw0Ekjet+kW0Ji5jDOUwii0usEqrYFYJVM05/9\nIVJWLXbDbfviiqW5OjTS3wJt26t2wQFh6KlRrFwx01b6F7ReO5RlaXr3oyhWzLAKcRxhMjky9rxY\nXIPzAZ7H4PsM19dXKIolHMfB8fEJfD/E2dkxyrLB1dWl0Znq+0Zdx1WJJWrt6roWWTZRyVXHaFwd\nHZHAsl7bdV1v+JL9gvU3h43Hxh5939/QO9Mt7eOWAp2Ubxpqs9BtGK7rqbXvom2pVbGqagzDoNrV\nqSUkSVJI6SBNY+R5Ac9zTHKWWjQoger7zLRDdF1nNHq07ZB+YoEkyUZDA6hSv1hcYxhoul0QMLM3\n6EJHEFCRhAZtuGufz1sdTWxx+NB7s05o6n26bVuj8QmQpo5uO9o2tGLV1uwoZkwI16Wkh05W5PkC\nvu8bXazLywvk+UIJkbuKwcZRFAUmk1WRQp+JqBBTqgmqOplUYhgEhkH73UDpk3agQRwdPC8xZ7th\n6KCHE+gBJBSnr2xz3I1BxfdWMQEH5PlSCTcPoOHcAqs2rwaMVfjOd07Qtg8rWjiOc68A8iH50L1K\n6Pz0pz/Fn/3Zn+GXf/mXAQC/8iu/gr/8y7985bv6dDF2iFr0CqD2E121JOPWh8DejMAkDQ8tajco\npkON6fQLRFGI6+srSOkYw6YJPkTJp5F3UjEVBPqeerg575GmE0jJsVzOjbo70ehJiLaqKpUlJo2Q\noijAOccwcHRda0bf5vkS0+lKvEtPBhrjodOTLF4f99GsNZNnNVKcpt74PrvRVkQUUwo6V45X0zMD\nU43Qz5NSoihyXFx8UC0iAkJQO5PremjbRlXLqXIaRTGq6gp9PximAQAkyQRt2yIMI6RpgjzPVTKF\nEjZJkiKKIrx//63S9KEqKE3SosRlFKWIIoGLizmWywJt20CLKWdZou4rMkE2MXvWRWqpRVKiaYgt\nV5aapUQC5SuKfmvovuO+6SiKrJ28Qdy2L1IyZIk0naDrGvQ9h+c5AARcl8FxhEmmkI1CMdY6c03N\n8NHtWgC1eJDWlE4qkl5VHKdomhpVVaviQQfAA+CAcwoOSTSyh9aU6rpW2UmPolhCCJpeRXoGNfI8\nN3sHBZ5MBaotiiIwemyO4yGKSIjy5rTH9c/KsjItHoqnxB6MBZCS37ieFvscX4v2+Q5CBMbmaP8O\nzSGSJspAiYYzFSu5ZshF3w+o6yUcx1NFjgRRFKFtG7x//60ScS2VTyVWnAYlfh3EcYLplKHrBIaB\nCnCMUbu859FjmqZViVhqVem6VrV2hIqlV4/angPVmkWaPpoNYWM3izFea3/WxQj9mpRobNUZJ8V0\nemSK6XUNI9BP8atj2NTaZrUw8aog1xt/R3ZLU7EY89VUuRBdV8B1YaZKXV9f4OQkRVFoPS2mEqvX\nAKhwvmKNVyZu1KLGANRgHAnGmBI+5nAcqEl6mWlXjuMYZZmrhJAHzgejtdM0HcLQN75V2yznAo5D\nOpJt25jEFolHUzvpY1iou0o2HAL2KqEDAL/2a7+GH//4x699G588xgGFTubojU+Peab+T2mqJMMw\nGH0NSs606PsGw9AhTTMEQQzGPMznM9R1iSjKFCVQoOs61eYRgjGGqqIKre+HZkQmYwyu66CuG0gp\nMZ9fw3FOTRY7DCN03WCSM65L066onaRVfZwUzL9//97QjRnjcN1ka0Jn+2cD1c8tbqXpWbwe7qNZ\nk05GhtmsVhMCavS9e2NsOa3zVcvCcjlHXdcYBkoQZtkEaZoplhppceR5YSjkvh8oarpjdHikJBHw\nPKfe4CCIURQflACxA98PMZlMDNssTSf47LNzQ3XVB2CizL5HHCeIogRCDOoA6sFxPGRZgm+/XaJt\nG6RpNhJGhkl0kT1D9WavnLK2a98PwbkwQYNmKfU9BeXaXnTil8bY0hW0DkIQBAdFWbW4H7dNOdRr\n1HHogEaT2gYV3BWoqgJNwyHlgLYldhsAk1gda3vopGHfO6MJOx5OT89wfHys1qM0PfVAg6Yp0bY1\n0jQG56QJdXR0Cs9zsVgszJQf0gERioXjIk1JRyrPlwCAqqpG7WEcw9AjSRJTUSR9D4n5nOxoPDZ5\n8zO5ax+yyR6L2/CQyY1jkK+i1iY9GcZxAM/zbyQxNENAJznH2hgnJ1N0HVePc9H3NaRcTXUchhau\nS0lSISSCIEaSMKPH1jQN6rpSDJ1OiSBLLJcfEMcJjo+PEEUJuq7DfH6N2ewKbdvAdT34PjGsz88n\nZty5HlyR54UqWCRm1Ll+L/pQC9Ceog/I+rPy/dBMznmIT3qsnd6n3WPxunjtFnFdXCQWKlPaU4ma\nQCrXWoLSNDPJGj2hVBeoKSnDjI6Ulsao61rZYKu6HmLF3HZwenqCIPBVYoSD8x5CaGY2x2x2hSRJ\nkSSpEjUXqhDZmXXd9y0mkyNwTsw9AKjrCk3T4/T0BHr6HZ0lBzRNhzTVujUrdk4Q+JCSwXU95HkD\nx5EqcUuFfM3EYUwa302EAi0ATWPW79szd/kuDl0yYO8SOhb7Ae3EqqpSjhJKxDU0CR6i0vWo6wa+\nL1VShoSxjo5o3F6apnDdb9H3vdpYaOPKsgk8z4eUJGA5mUxVRZf6pOM4hpQnAKCYNyUY8xCGCTzP\nNfT4oiiRZami5AbwPAd13WM+n8HzPMznC6XSHuP4+BRF0SHPCzRNgTxf4jvf+RJffnmOvne3CiNv\nYqwhsq1ne9fP1Tr5l8GuNOu2bZXY6aqdSichNvuNARKX5JzaSbRY62KxQFXlKrtPiULGmJrM1hjd\nD2IIOCpB6uD6+hK+HxqBu/Pzz5AkKTyP9J6o8iCMo8+yqZkc0HXElMmyAGEYw/epzYRzF57HjL7U\nclkAoKly5LAFuq7GMDCVAOLmfWQZCd0tl0s4Dokop+kEvs/UZ+CbRC2ted/o/OjPd1sleRhItNau\n88PG5p61LfFN1a31yRNE8aY1KQQQRS44z1HXdFDsOhJvdRwHdV2ptUhCqLrCT0lOSjbq5OByuVAt\nWlIx1FI0TWWS7I7jqWmInmr3oOB2OmWYTo9wcXGp1rEHx6HDZ5qmiKIEeU6T51zXRd8TK/TDhwv4\nvofj4xRXV3P4vo/pdKraD4kpoBO1GqtJQ475TDbbQW4LHh8qgmv9ydvDY/Te9M+pkKDXFum6Abix\nF+vDEPlCiaqiAlqWURtx05A+BVXGYyP2rxOwpPtWIgyJycYYM6w2PdBCT7UCOOI4UtMTyQdJCaVh\nRe1TJyenKqHE4PshqqpCUbRwXQbGAtXuXGO5zPH5555qrR/QddLEnVogvetIk46m2kExaykxrNml\nu+Cxh/5tY+MP7XD4lrEv7XjjpE2e5yiKBZZLYtMlCQ1/WdfLWV+Puu2f2LE9hGjQdT26rsEwCAgx\nQAiO+XyGtu3g+x7yPMe7d+eYTKYIghDL5RycMwA0UVJK0niczeaYza6xWMwRxwmGgWM6jUYFGGKv\nU5GzV4kenVDVXQ+UTNb6qfT4BkFASRk9CY/2ChcnJ2coiqVh8WqWIBU8hWHlqXcPgM5guugzxkN9\n41vQOXXkU9Jaz4yf/vSn+Ou//mt873vfw2KxwI9+9CP85m/+5q2PHwYOxixD4iVQVRW+/vprI2RF\nQTVQFIUSniSHS7S7UGl3BCPxVsfoIVxdXeGbb75RCR9mtD70WPPplHqu27bF0dERrq6uwJjuu6ak\nEgAVHPgmcBiGAUmSII5JXyFJEsxmM+R5rpJGGcqyxGKxQJIkqgeTRqoTi8jHF198gfPzcxwfH0MI\ngclksmbIdV2j6zoj6qkpgzQ1JFK0PH9nJ69FygBqIzg0J7/PNielRJ7nW1sgxt/t+HHUJlWY73z8\nOL3urq6ucHFxYRIz7969w3Q6NbawEgOnCVNVVWG5XIJzbkYuV1Vl1iqJQdLYVc45GGM4PT01CRKd\nyAkCUvfX96BHOetpWLr3WrMHqI0rUsKvhVmzVVUZBl2e50iSBGdnZ/jss88QhqF5H/q1qS0rQ5qm\nhnVB1Pva/F8IoZy/NAKZ+vPR4Jzj5OTE3N8hO8rXwmvb2217FgWWesQ9N+14m3uhZnYyxlDX1NJE\nrJoKfd/j6OgIk8kEQUDC4pPJBFEUoa5rY0PaLsbCqXEco65JvLWua1RVhcViYaqHUkqcnp7i9PQU\nTUPtgGdnZ+i6Du/fvzeP8TwPjDEcHR1hOp0iz3M4jmMqnfpepZT4/ve/DyFIKNx1XXieh+l0auzh\n7OxMFSJof9EJq/FnRy0i67oJwMrm6aC8sqO7fMRb8Cf7iNe2OQ1tYzfbAO6ONyiZkBv7BFbjyLVe\nRNM0WC6X6Pve+Bmq6NdmHQ3DgOvra2NTnHPDEPU8D2ma4urqyow01nGZlBKLxQKz2Qycc0ynU2hN\nnsvLS0gpcXR0BADGR0kp8d3vftfYgJRUINQxIUBFlevra9X2yxQLhzQR9WufnZ2Zwgjn3CR4tN93\nXRdffPGFsdO7fNJTPv/HPO9Txce2t13jxI+J2WyGDx8+GNFffS/T6RTv3r3DZDIx5w9tv13XoWka\ncx7T/uri4kLpUlXmTKb96+npKWazGU5OTswZK89zlGWJ4+NjnJ+foygK9H2P5XKppjwKY3Pn5+fG\nP2t/rG1W+3fP84yv0xMs9eeapimur69xdKQ18HyTRNEEgP/7v/8DsEpaa7shOQFhikD6d3p67Pn5\nuflOH+Mb30KMulcJnffv3+O///u/8Xu/93v42c9+hj/6oz/CT37yk1FGbh0XF7n597t3k7X/Hxr2\n6f7n8znqusR8PocQHL5PI+iIZtcbkSui6pI43vn5EWazAl3X4/T01Bz4mqZDWS5RVS0YA6R00bY1\nHIdG0GVZAsYCMOYpzRGJ5XIO348AcMWymUFKF2kaq2lZPgBH6YnEaswsEIYRvv32GyVG6+Lo6Aic\nS1xdfTDK6NPpFE3TIY5JmOv8/B2Oj2MEAW3iY2qjzoa3bWOCc2rRWnfM9F7vdgLjiq0GBfFPd/K7\nrp137yZPeh1gv21OCBI2vs1R6++WRm47uL4mPQxNzaZRxQJpmqqKOsdsdm0o313XwHUDxYIZkKaJ\nmpzYT2sAACAASURBVMbWGJ0AYsZQ1b+qStXH3CMMI5yenmEyyQzbxfMYPvvsHWgcrDDTR4hppsc4\n0nrRyaW27dD3Hb7znVNcXRVwHBdxHI2cLrU9FQXp5pD+TaemBtGY1/Pzdzg9PcPJySmqqgTpVPWm\ngqlHmH/++RfI86Vp9aJAYsVQS9PM9B67rmt+p+F5DGdn52aKnIbvB/jFX3y3V2vnofhYNvea9nbf\nnqX9BCXdS6Rphun0aO0alLhw4Xkuzs8n+OqrS3Rdg+vra/R9j+n0CEkSm3YIbRc0KbHFbDZX+mq+\nSgAdYxhoQhy1RlVKN81F01SGnUPJRtLicV0PSZIgCCJMpxkWixxSDuh73aa4EmjkfFBtYh4Y81AU\nhemj/+KLM1xdke6OlAJJkuD0lESXheBIkswEz9fXl4rZsP7ZuS6NkiX9kfXPOs9zhGFg7Fgfjrf5\niIf6k3fvJvjwYXmwAeun6uMeM+VKT2k7O8twcbE03zcxMn2UZa5E9Sv4Po0spwk5jhIyblUrVo++\nbxFFCZqmRV1XqOtKMVhdxHGIoqiQZanRqtITGK+ursA5h+97ZtoV4KCuS3geQxBEamQxB03E8vDl\nl7+gJtRxeB5Dlvn45ptreJ6LqqJkDuAiy1JwLjGZUMGBRqAzpGmCOM6QZSm++uprxHFoCi16Kp3n\nufjud7+n4ti72yH157iJu+K98fPOzye4vMx3et4+4q36uF3jxMfgofevux3ev/8GVVWibbs1GYe2\nbfHll9/F2dmZmbSq25t1Yufrr38GzWSlQRsNosjHt99+C8Y8xXBjYMzBu3ffAWPMFBV1cos04SJM\npwG+/vo9Li4u1Uhzx0ynCwKGk5MznJycwHE8cN5jPp+jaSqUZQ3GfKRpgr6n2JgSJA6CwDPsviDw\nMQzc+DZA6y2GpvC4WCwBcLVv6DZRfS0qhmgNIdd1jPbOL/3Sl7i8LB511nrt9jvgeextr1quPv/8\nc/z+7/8+AOB73/sezs/P8f79e/ziL/7iK9/ZpwMSh6zgup7KipLjE0KgKAqkaYogYBiGBlk2RV1X\nKMsCWRai62gawvHxCRzHVUwYiShKAHi4vv6ArusxDAJBQK0ex8cnSrvAUy1UBeq6xsmJjzSdIggY\nPM/Hz372/6EoFvA8F0EQYzqdKJYPBfOu6yg2QoG+H+D7sToYtKCBK2TceV6iLEs0TawEOyUYOwNj\nElEUGsr/mJIZx3QYKIqlaWvZxF092U8ROLTYHbvS1DcfRxM+oKifwmz+xA7gmEx0NdFD3w9YLmco\nihLHxyfgnCMMNYXbQVEsICUdYIlFw8H5oKYTtGhbfyT0RtoFk8kUvi9NC0ff9yjLGmEYqHHDSzRN\nhaqqUVWlEgivwbmnKjckeMy5UPYZoGkqzGYzdF2HJElURaVDlqUIw1D9Hlgu56rdiyFJYvX50Njz\ny8sLVFUFPZ6c2lJik3DS1Rct0hdFIaQMjaP2fV9N5tpGbW5gsb+4b88iG/EwmZCwvD6gjdtW6efr\nUzlI3NFH03TgvDOaFhqz2QwAFIulN2KKOpl4eXmBq6tLVFUJx/EQxwmKooLnOZDSMTa0XC7QdS3S\ndIrJJEGWTVAUJZbLBZIkVe+NqWu7itHmKC0AF1JS4Eji+o5K+nKlHxUoIfMAZVkDKFUi1UXftzg+\nPkXTtEbjY1z5o8B4W3KGpsq5bnSj/XPTRzzGnzRNY3QO6PO1bJ5DwEPbAMb1Wc2KGYMSHKESTiZ2\nRFHkKjELTKcnqh1KIstCXF93aoLioKYvlmoMOYcQEtPpBGVZ4fLygxI3JZ0d8gXU6lRVxCLwfYY8\nz3F8fIzpdILlcgnAQZ4vMQy+GkFMGjxJkqHrqDBCrCCadkrTdijmZIx8khaSPT09he97qjLPzdSf\nNM1U0ojak5uG/OVd7TaP1TB67PMsPh4e28743NBJhKoqFTtHwPNcw5rTzGnfD5W+FBWpdTKDmKkl\nXNczbOkwJPaM63qmc8HzPMXY6bFYLBFFAdI0xWRypKauxvjw4VsURQvfz1BVLZZLrTnXGp2svueo\n6waffx5gGKhlKklapX0aqGlXPqSkaahJkuH9+/eqQEEtkV9++QtwXW9toqznMbQtsWzTNAWNLYdK\nytCepceUA4CURDIY+znyv86tvhFw0LaNaafe/B72of3uObBXCZ1///d/x8XFBf7kT/4EFxcXuLq6\nwueff/7at/XJgGiuNEFAGwoZfIiyLOD7DEEQQogBfS9QljNUVQEhBhwdpWjbHlVV4urqCsNA7Sdn\nZ2eQUqAsK1BSxVHXiVDXFWazOY6OjlFVFfJ8ia6jXlASx/PRtiSKqau2YRijrivoyUHD0EMIB8fH\nx+oAEEOIEkJIE4QcH0/huh6++eZrhCFDmlLPaRAkWC6XYEzi+JgO2TRdKLyxKWiKvRbe29z073IC\n1sl/HGj9gPvU6h3HUUJsq1YrYgesEhWcczUhTSidmgjLZQ697vq+x+XlhRLaJoYN/S3hOKQXoHWd\nuo4SjcMQKpE4ah8kpkGBtu3wC7/wXXOvUpbwPDrgEaW2Rt8LxTITZkJX2/bIsil830dZFobhUNeN\noctSgrZB23ZGNJn0sFo1uYurMbSlEs4k501TqwCAqLTX15cIwwgnJ6c4OjrBZLKqEtwmKEftXDer\nnFrjQPdJW+wf7tqztJ/QLBPHcRDHNH2j6xqj1XFzKgeB2iEGpb1Brbyc9/jqqw+4vr5SbYaOSQjp\nA2VZ1kqgkUTJPQ+Yz2eKHcCRJBO47gDHYaiqEmEYI8synJycQAiJNE2MWPkw9Eb3ivyNVJPuPFxc\nvEeSZJhOM6UdMMDzXEVtjxULTaogkCYxxjFVdYk5VCPPl2aiF9HPQ5AOUAgpBYTQouLSBOj6s9R/\nky7BTRHXh/oTSgzhTQSsnyIewqja5XF67Ph8PlNJRAYh9JrrwLmHOKaqvJ4s2rYdgoAKBlTAcHF+\n/g5XV1f49ttvFBPOR1UtUVURhJA4OTlWxYklhmFAmqbwfR/HxycoitK0BpM/k/j5z79GFMX44osv\n1ejmBH3fGka169Lhb7GYY7GYK6Zsp9g5qZnGRWwEPUa5VcM0XFV0IHbt5jCLzWToUzSMnvr9WLws\ndo0TXxI6iaDjIMZcxbphihlaqvYqAc570yUgBMcwDCpBU6KqGnDeq8EbMAM4OO9NZ4uUQmkz0jRV\nsqsBeb7AYkE6kuRvKUk0m12hKEqVSOaIY6lYtB6GoVPDAgTm85lhOgkhzZCDySQFJVBaxHGELMvA\nObVHvn//DTwvwGSSGa1KvQccHR0p9h4VgWgyFzPFDZLb8BQLkBK/YRjd0J+7+VmvWOUA1oYYvLVi\n+14ldH7nd34Hf/7nf47//M//RN/3+Ku/+qtb260snh+rKhD9n1gKJIhMIydbOE6pNogGy+VCHQgr\nfP01x2JRIopifPPNzyHEoDQ7lnBdhqYhQeUg8JXAlQTgYrmcm35oCio8CNHh4uJbdF0DKbmi91Iw\nwLlQGd5cUQcD1R8ZQwjKFOvMchQlRryVsQBlSRVKfSCnEXi6F5NEaosiN3pBYzhqGlDftzeC6/uc\ngHXyHw93JRfGEyd0q4V+nGblxHGsxI4L5HmB2exK9SFHqs2wwzBQf7+mkFKShhhsVD3w0fcDPE9P\nH9BTCTpcX18CcJCmEwQBjQ2/uiJdgckkU4KSrbkn0hcAiiI3wrOanprnLYaB4+zsVLHcpnAcErQT\ngiOOYwghzChoEk8WeP/+G0RRAscByrJQIuSJmggSoCxLdF2LOKYWR99nYOwIw0BVWX243ZwctllJ\n1g70NjwlkalZDxqH2Eayz7gvQa0nVIyh2TdaU2OVLCWbpEBToChyOA75FD3BsG0bXF9fGbsUggJG\nxgJkGWlNAcBisQDgYD6nVqzFYmYEVo+OGnge6QRQRR/48KFTemlMJWNoSsbZ2bkSbpT49tufG3H7\nzz//3FROr69nmE61Hs8J9JhmSmgR3fzk5ASuyxCGvmKI1ggChiiK1cSPykwQSpJUJXFzFURDDQYg\n/6L9jp7SKOUqQN38Pmgvc7Hta9o8pND45vjGYw4xYH3L2FXDQSf0NdNz8zmex0z77vjaNHmUkjma\nJakFTXWLvO/7iGMaV8w5sdGKIl/To6jrRrUbNyiKEsNAiUshekgJ1RZSIc8ruK5EFMWKaeOZ9ked\n0CUtK47lMkeeV5DSQdt2mE6niCLXMMSbplRaVkBVFUbA2XHIdujAWMFxgDTNkCQJ5vMr1PWg2Dmu\nOvit28G270B/lo859I+ft+3zt7a2H3iNqUbjmIX2ZGfUBZCqtkZqH3z//hsEga+KFDTwomkW+Oqr\nrzCZZHBdBin1lN1AJVypkKL9TBzHCILQsFlPTyfqd1zZj69YMRQLtm2DsqywXM4VQ4eGFPQ9+d6i\nyBGGMYqiQlUVKMsCZVmO2DEkg6E1s2gSbKbW/aDawXK4bgvPcwwjp+9bFaPTWZ+KigJNU6PrPEg5\nIIoSE8dSLtZVe0m6lpy9yUwlOQXq4tCF1FUx460V2/cqoZNlGf7u7/7utW/jk4V2ZFS5HxCGIZbL\nFvM5CXaFYWCoqrQpVGqagsD19TWurnI1MUcgSSI0DVe0dQ9tO0DKEoCHNI1xcnKqGAgtfv7zbyAl\nxzAQO4eqmqHSyqH2EerH9hEEUFlb3xwGHAdomlKJ9nlwHCghV6EEmH0cHx/BdWFoioy5KoiP8fnn\n71SleNVOsA2kRj+sHVR3cQL7UBH4lLCZXNAjxTVo6sbEPE4HtZwP+Oabr9D3RBtPkgR5vlTJFI7J\nZIqmadUknBBN06qRycB0eoy+5wjDGKenp6jrEnU9oG07dVij1pHZ7EJVQiow5qn2wEAlQMlxaj0C\nEq1rMZtd4erqClTNFzg5OcXZ2RSe1xt9m7JsVFDNVYtWh7OzUyRJqsZZ0lS6sqzUNJ4VA6JtB9Q1\nCZFTMoimLACOYiPQvuB5rplmsMth8KUSmWNtK90CQ8kE20byXLhrz9pso1p/HtaSORpRFGEyyXB1\nVSIMA/z/7L1JkxxJlq131NTm0d1jALI6u7NKutlckPJIEW752/kP3opcUKRfN7s6Ewkgwicb1dRG\nLu5VjQFDAqjMqgTKVaSkJCMcEeFmrqaq957zHSljq8bs+x6Hw56l2w/F9HmesSw95jlk6yLNj6qq\n2EJUousoCWtZFoRhANedUZY1tB4YtumgLKmYU9cltNZIkpSf4YLnAlkk6Wsr8jyH1gPK8gDX9dB1\nNX7++Q1ubwvEMUGc4zhBWZ7gOK61jRGskZoS1LQgJhtZSTS6buVCigPPe1hLlmXF9fWNVQXSfKPG\nA6kaHtYI89kfx8EyUB5HMZvXmsPDt7Zh/ZrG50A2P5XhYLhVAFhl7FuGoLFsmO8ZoKn5eUYxSclW\ndKA0h0VKQHwoHhqbBlmUlH0/1ASZ2BpPczCOI5vOOE1kdTqfzVxL2FIx2mjkH3/8EcMwIE1jCztN\nkpivg4YQK+Z5tDByYIUQpCIQYuF9WwzXFXDdEHlOCqLH8cUUpU5rQhRFbGlcoBTZQYjp8dTuad67\nuW/mAPkp9+XxvX5cwH58/S9r0+9r/DVTjR7Pb2KRDmxdpDUzzwt0XWuZbZQovAWwcINtwDzT+kS2\nJqBtKRny6uqG1WmkXnEciaJIIcQKrU06qeDibIWqqhDHCRwHmGdSpt7d3WO/v8Pt7c6qwA+HAw6H\nI25vG7x8+Qc+Xwnc378G4NjiEBWlXMzzgCjKkGU5qqoExan7Nkhjngn4H4Yuzy163kRRbOPNtR7Q\nNDU/Kxasq0CeF/yead/ZNA03HGNM04g839i59bSgSvtXk75pCk8APrmZ8bWtjb+rgs5l/Prjc8nd\n5IM0cLcW40jJVJvNBpvNBlVV43wuWSkQMyvAh9Y1oiiE1pQKVVUVd2A8OE6Ctq2gNYH48nxjbR1v\n3ryB51F0petKlOUZQggEQcybWRdBkGCeZ2aBdHYz7roUO9u2DfN9UjjOjDQlqG2WFSgKI11frI87\nTXO7qAtBMvko8hFFDyDa54cZgss+cBGkdC1D5FPG36Ij8Pc8zOf9w/7YHobMbyTYJjVDCAdK9QjD\nAFmWYZpmVNUZYRhzVb+A72uWgirulDhYltlGem82OwghGe4KAAKHwx7jOHCxkgo8xO15ysbwfZ+5\nAjOapmKJ/AzHcaFUi3m+Q9ueME20OaiqHPv9PW5vX1qVBHVaKiRJyu8NUKpjoHmPvqdu53a7w3a7\nwzgCvh8iTRNoPUCpGX2v2N5I144ioh82wea5Yq7j4/liPtsfLgr40Pr9RYGPjcdSZROBu64zhsGk\nP1xsJL/W+Ngzy9ioPrdAvSyzVW95HsWQm2KqEOBiIhVuqLEw2MSepqlR1xXevHmDKPLZgtVimga4\nro+6bvDDD3+E1orXjQeuW9NU6LoBURRAa4Usu7EHP5ovNYaBVA1N08L3PQRBjHWdMc8rhqHH+bzC\n91OkKR0Cuo7slGTjoGYCRasv8DyyN5pkOM8jdc80TTifa07ziqwVS6kOvu/Z+UJziw7pWUaf5+dc\nNzokaFvMerg3D4eHBxt18e7NwNe3Yf1axudANj+V4XA+n6G14gIJKTdJNV3bIqspbkdRxGk065Ok\nGQJzS6tiNqmhlAJKHIyuaxFFsWWgkeXYZ4XdBMchQOnj+HKjXH5Ie1QQgoCrrutxkl3A6uoWh8Me\nt7e3iOMIWhO4nFJTe1SV5GZhg64b+edpTNNqC6VFkSNNM7b2D2iaCkr1uL29ZWjyhKLYIY5jeJ4B\njVPjhObYwNf3aTH0fQD/NM0+uIf+2NqXZSmU+joh5H8v469xb57Pb9pfdgD0I4XlyixFgpFHUYos\neyjml+WZ3QcuimJr7b5k5R8hpYDrOpanSM27BlornnfCFlyNkmaaJrx9+xPqmgI07u7usCwD3rx5\ni75XmCZqop9OJaT0kGU5F0U7pGmKcRwQxxHqerKNg2VZOaRAAJCsVn9oklPjfGWWqkaSUFMzigh/\nQcmWE18rYu+czwdoTQUorUcGPUtbqHlo1hIGwOxbCBuwcGHpXSAyPQudb6rZfinofMPjczcVJG3V\naJrKpk1pPfBiHKKuG/Q9LbokeXOsHaTvayg1QmvaNBO9fQFAPJLzmSYryeNWTBOBt4RwcDrVFlal\n1MCScwen0xE3NzfQWiEIKN78fD6y/FdgmnwrzzeyWvKG1gjDGE1TIstyq6yJohhaK1DHx7N2LBMf\nrVSPKAqedFnMNZnn8cn1W5YZWuvPOjz+NTsCl/FxfywtHtomB7gubWyVog4hdVFIKp5lCXzfQ5KQ\nJWq/v8M8O5CSkjvWdUUY0udws7mGlA6Uajmxh0CRaRpzUtqINE2ZcdNjuy24uDEAIGbPPC948+Y1\nlGospLXvNbIshdY93r79GXmewnE8lqATowd4gyDwuWhDioZhGHB/P3LqVgfP85DnOUveI57PKZIk\nRpblbLMiKwt1MBy7cJprZ2LMTcHswQ4m7ML5+EBi5hFZSEyHNURdf15B58E+YooJ5r5SJ8awry42\nkl9vfOiZ9TkFatNUINuhZvXMxLZXUmNS7LG0hVYh6LPSth3iOAYBUSk5rqrOGIaALSM9lmVFUYQs\nASd12rJMWFeB/f7Odgjp8BXip5/+C6fTCX/84w92A3o43LOFRULr3qqFqqqB1h2UauF5AofDwRYq\n45jeq5G6E++jg+eFEELZ75lI5XGccD6XWJaJlRIrH8AjVprRBtgcssMwgoG0A3jnWWbuzTzPNpnl\nfcUBwOEUo6f35GvcsH4N43Mgm5/KcCA2GtkxDHeJnn+CVaKC7QQD1jWwKuXH1qsH9QkYNl5gnic+\nXI12vo0j/Zt5BiuyqZBf1xWUUvY5rlSHw2GPsqw4bYYKRcfjGZSaOOB0KuF5En1fcKfdheOQvWKe\nJ8vHGAaym3Rdz2lcLuY5Qt8T+8r3A4xjg75fEQSkujHK05VZbCYQII4TKEX71L4PYdSm8zxyAXbm\n/56Z92VUu7D3zdgdTYT0+55rv7T2CZF9cVrSZXwbg1iHPc9bGkaxTQ1ij5WnJrY7h+f1+O6776xK\n0wTFaK2xLIJTgD34vot1pcS3rmvR95oByQm/vrcW53GccTjskSQRlmXG+byHUgOUaqD1T2yhVHj1\nin7Ouko4jrDhFVGU2nXanHvIBtaj6xSklHCcGMtCybBCAFXV4O5uZMWuw44KB74fIgg8BIHHTfoe\nBs7eti2v/QJB4EKIiFmp9IysqhpSgvcLLocMAMOgn6hRCYdAc/p9imG6D5+/l/m9j0tB5xsdH9pU\nKLW+A3576HqP0JpsVPf3d6jrEo5DnUUAOJ+PqOsK6woo1SIMY+7MLDwpaINOPssaw0AKH9OV3Wy2\nqKoSfa9Z8TICcDGOMxxnRRC4mKaOwcsCYRhgu92hbTt0Xcv0dhdBIBCGVCiijQ9Jeeu6AcXHJtjt\ntgBItu+6HuI4RRjGuL+/w93dW6bLNxxleYX9/gjHcRDH3zMA2rcPBTqYh08eCl/KILgUcv5640N2\ng77XbO0QfIgzqTIKyzIzRBEYx4k74D4n+qRQSlsoKwF/iZ8xDDN838fLl7cABO7vwWwQjbZ9g2EY\nuNNAViGA4iDzPGOr1IplARdg7qB1jzBMkCQ5L8gTJ7gtCALiAJBygOYGFXEGuG7APKkR49ij7104\njsC6Olz8XNF1ClmWAgAch9QJWZYhCEKQ8s1DnheQkhJDSKXnI4pimIjnh27myB0VyWqLCUr1rI4g\nwLjxKhPXRFiF1JfeT3MoocKseO/3L3Ps1xuPn1nPrQW/VKB+2lSgomIURWx97WyHMgwjuK7ENC2Y\nJo0wjNC2LXw/xNXVNeZ5xvF4bzk8p1OJdV3Ybz9zqlXPyXAR4jjhZ/TEXc8BnudimhaU5RnTNOH+\nPkZZnhFFtDZ4ngtKeKNupZTg4orPHc8W00QsnJubG+x212yzclDXNcqyxLIQX8hxHpSdWZbC90OU\n5VsopThdEXAcBdedGdy/s3/z0+v9cQiyKbCae/O+4kAUhdxgmd9REVzGrzs+F7L5qZa4xzZvY+Wh\nz5HgtcPwNN59/j2en74fPEoGdVDXLbQm6P6yTDZZdF0dhKGHu7s7TNMIz/NQlmcEgcfNPcVqZ0qr\nWlfgcDigaRSKIkeWZZjnGVpTxHDbdvbvvLm5ZaXBDkLQmkH8OSreLMuK8/mEdZ2g9cy/00MQRBCC\n1hSypSiGpFLs+fX1rU3QCYKAC1oDhKC9G0GYa7Sty/vUAHm+QZIQzNUA/A1E1VxrA4A2zCLTyHi8\n9gHA82S6X7q3l/FtDwqj6B81DX2b/kbKlZG5bMRkpCAYF4CP29sXKMuTtR+Z4o7rCrx+/ZoLGr5N\neDNq13Ec8OOPe6veS9OclaAzDgeyHJILwuGfEUDrEfv9HofDCWkaQOsFm02BaXIsBiCKKAXVcQQ3\nzmYsi+JmQsLNGIXj8YCi2LBykIDHXaeQphkr3jcQQmIYRsRxDEq0i9H3rU2hkpKuA82vAUGQwHEE\n6rrBNPWYJondLuUU2ZEVqpF9Lpo56jgOsy9/mWf1rTTbLwWdb3B8aFOh9YBhIBuGsRWZrrYQDsPm\nFLpOAVgsBPJwOKDrKu7UL3AcH67ro+sqVrVECAIfda3hODPO5yOU6lnOtlqSe5o6vGkfMI4zPwQa\njKPGOJqouokPkA66jh4+UrrIsgxleUKSxMzP0BgGbePvbm9vsSwjXDey6QZm81RVNcKQXmtgYFK6\nKAoPUtKD1fN8K4s3iQh9D6sc+tAEvxwef7/jffeFPmMDhPDtoYteSxJNWlx6UMdkwrIAh8MbZFnG\nvBrJn+UMy2KYN8bbTD5/ANhsClDE+RlJkuB0OkJKF9fXBbTW0FoxCPYeQRCiKDZo2wqO40NrhTBM\nMAw9hmFF29bouhZad/D9FGFIYEmtZ9Q1RclqPVgl2vX1jU2rknJm+B0p01zXR9/3FlzreZK7oTPa\ntrGA8aurK+u5bpoWyzJhWSa7gTUd25UTs9aVroVhGWy3W+tbNp1ik4oEEBD3OVj5U++n1lSMNQod\n1/WsSuIyH3+78SHF54eu9+OmAhUtF753HRdUF0hJXb/NZsex5x2ECOB5AV6+LPDTT/+FriNeB30+\nA2w2G9zfv7WdO+q2TyxBb62llhJuKBljv68QBD48z4PjkJqhqir8/PMr/NM//YnjUldWLGi8fv0K\n8zyySkagKFJsNilHl5OluGkay4xTSiEIQl6byOdvro3nhfA8F8PQ80EytNaXeZ4wjg/y7491Ej82\nzGf/QyMMQyyL/07B6DJ+3fG5zKJPZTiYvZyxBCnVMf/Gg+s6T/Z67/uZ5qATRRG01qiqs/1bqIhB\nTQGlelxdXUGpFufzgKoihQ1BhzWABedzZQvq00RcjSwrrFI6jkM4joDnkdWDmnouiiIAQAfCsizR\nNBXzewbmaU2QcmUOXIsg8FBV1LG/vf2OOYgOfJ/slkHgI45TCOEgz1NW4D2wFGn/Saoj3/dwOp0Z\n3Ex/BzVJWg4u8PCQ7jhBCIdZXR2U6rHf32Gz2aEoCraCPiTTPb7uz5PpLuPbHR/DWbxrsyKFWFn2\n/MwfOOBlgzTNsNuRVbZtG2ZkUQFISg+3t1uM44j//M9/R9f16PsWSo2IooAT3mJcX1/jdDoCAKQ0\nfJqZrYWKbVi0VrZtiyTJudCksCwr8nzDzYkFy6JRlhWnC5O6RusJRVGAEBUdp80dEQSBtc8bkPH5\nXMF1HeQ5xaIXRYEoirkgu9pnQ1FsbEPeFLSEoDlDjUHFtnpKX6W5BawrqQpNQ4hCc0I0TWPPg2Zv\n8jnqm29hXbwUdL7B8b6F5DHt2yziproJwMrhCR5HBZ5lWRnuqviwaza0LVwX8LwIUo4c7ewhSWJI\n6eB8PmGzyblquqKqSJLbdUQlHwYP00SR0VI6cN2Y2QkL+59nTBOlBpVlyakFEc7nHlIG7PdecwR0\nhQAAIABJREFUcTweeCO7YBhm7sJUINjlEXm+5QfrgK5zuYMbQmvyXadpwlJBB2lKXRpK+olsR+2X\nUta+9gfAtzzex0IyizDFiY+2y0GWEAKzC0E2prI8oW1b9uESMNh1BdZ1hpQhbm9f8CKisCwDlkVi\nv7/niEffSkeldDlRB/y3gFOlAEAgjjNmI/jw/RnTZBgzGsfjPZQi6SxxpsibTL5qSpmj9J4Fy0IW\nq7qu4Pu3AGZrJwvDGedzyZtqB/NMPmshRhTFBjc3N3j8Uaa/n8B3cZzgcfRj1zW2KEVdzxKeZ2Ig\nZ8zzwjHpgeXdEHz26b35XIUbbYpMJGfAf79gDzlZOS82kt9mfI6NBHi3qbCuKyvjHifwOFiWEdME\nJIkPKSPLxciyAn2vuPDvWv7ZOC6sDB1A6YkT2wcDZFmBKKKkKik9/PTTf8GkGQYBqex8n+Y7JWwN\n2Gy2/HXPFjX7XnEcK0AHP7NexBDCRZYVbPGV/BwZuDs4YpoWxDF91ttWsU2T1lxK5PDQ94ql9gsX\nIvHe9J3nncS/1Ov/scbEZfw641MLNI//+1Puq2kmjKNiVlOAaSJVpu9TOhWxmnz7HDe2d3PIAegz\nVBQFxnGAlBJ1XWEcZ3iez/bgGUpp1HXNwQAE0H9QnEhrd6iq0hZNqWAvEUUJfD/k3yXhuo4t/rgu\nKVm6rrefd8N367oevu/adYnWUA9mrVqWCUGQYFnIcpskBDOP4xhNU+N4LJmzmEBKh2HLpB5flgll\n2WFZJvt7zUGc1EqCi0RkbaHAg95aVmg4GAa6LmmaMlrgfXP2w8l0l/HtjI/hLMzaZ0DhVCg1RRVK\ndxNCMr+JLL8m3IIayi66rsM8myIH/Y62pWKQ50WYZ+JJGU7M9fU1Ox0ElkVjmhaLjyCnheBm+oQ4\nThAEPrSmBMYoSlAUOe+DJ5RlzYo/F1GUYp5NA33EixcvkecFlOrhugKUJCwQBBPK8oy6rtG2JXw/\ntPZQx3Gw3V7xGrtwMVSj7xU7JOgMFoYRhkHxe1pRVTWGgRTxaZpzMmwPpTSAFeNIMezDQE0U83OA\np3uTb0V98ynjUtD5Bse74DbYTiYlATwMY4MQwuHD0gRAYBhGSElpHH1Pi7nW2rI3tO4teDKKqHu5\nLA6IP5JzEkiMvn/oJrmuC9c1IMkA4zgizwu2lIz8sImtZD5NY7a/SOz3BziOxDAo25Ga5wFd18Pz\nAhwOd1iWGUEQIgxT0EZgYu+lgEkRcpyRDwikWKCEBe/JBup5F+1bgmb9vY3nDJdlmSGlRBiGaJoR\nYRjw96n7CKwoih3SdELTVAgCD0IEoOSNBWHoMiQRrCjQWJaRSf1k16AUNkp4MwBv83mJoog9ygvC\nUHJ35oqLjgpSOlhXijZu25ZVLg6ahvgc1PWH5fEkCUXArmuMuq45GrLFdkuL3TRNAMjDnec7ABOi\nKEQYesiyFEmSYLvdPSnmmMNnVZE0lw7zk2Uv0OZ7smoc3w9tl4X+PoeLLMb2MiAMI7xvqnyOomZd\nVy4AUxLSsqyYpgFS0qFYSvdiI/kNxufaSMy/eT4M+8z3A8RxZMGMJr2KfiZ4k0jclzD07dc9L0AQ\nrGhbIMt28DzBNkl6Ru92W1a6CKRpgjiOufhKFijza6ZJs7ydNp3jODIfTuHPf/5PTrHzeY4v3Ozo\ncTwesdvd8iYxgpQO5nmEUpT0SIXMjhsMPYZhQt+3rAgSOB7PDOyXVs1Axc4E2+3WFo7MeN5JDIIA\ny7K8A2A1X/9YceBLIeSX8XnjUws0j8endJEN629ZZijVWYg/PQNHnlsL1tW1TTqymz/lRzxYFEKG\n898hDK+hVAetqTNPAPEOu92ObcEp790k1pWULTQnCLKaZTk/xzXPMyqw+36MotgyUBnwPJfXjoW5\nWBRL7jhAmsaskKlZXePbtYHUbRR17HkxH+K0hTKHYYS6JmUOAZ0jACuCILQqIUr8Wu21IaWewwEf\nVNDxPI+TuxocDnuEYYCu6xCGMa9dgoGwGe+nI9sQMmodc6kve8Nvd3ysuQFkfFaiYiCFx4QYBuB4\nPLH114fv+zZgYp5HaN1z0MPEZ7SFP68Tq0FbACs2my0o0EViXR00TQtjLTZJUTRm+H4ACuag+Zok\nGVux3vI+is5vu901P588bDY7lCWp4mhdpmZ9UeRomha3t7QH+/7776FUhyAIUVUlxrFCVZ1BUeMj\nfD/COGo+M86I4whRFCPPC6RphnkerR2K9g8uwtAFQErA+/s91pWQHGQ5pX3CPK8ctrMyW9VnC6b7\nbM8hrIXrsVXyWx+Xgs43NowCwXRNTIGCWBijTTFYFpKlGu/1MFDXkqwdmtkhYF91wuoEQAgXaZrA\n90l14HkuiqJAELgM2aOFnqrQAkkS4vr6Fuu6sNQ+sIk9UlLllTgkDYYByLLUdmTalh5i6woMg8K6\nOhiGDsMwIs9zSBngdHoNUjnQBnsYZqRphmGYkGX0wPX90MKQH3dWmqbBsgBh6CAMC67iLu9MfNrc\nr0+8mBcGwdczHjNczMP9MSQ0DEk26vuhhSTe31dwXRdNs8BxVjiO6eqPSNMMQUAHTWMpOh5PqKoa\nURThcKDFPAhChqR6vAGf+ZA4AVjgOBQBq3WHum4Z5BogCBJo3aPvSf1DnVeJ3e4fGLo4Y1kGjj4X\n6DoqkIZhiCQJOalLoq4b5lRRgkJRbLAsC4LARZblSJIEYRhit7uy14XsMYvt+PZ9j7dv7zgmMkKS\nkILu5UuC9k0TQY4pbaCB51HR1hw0HyujvtROYoZZsOl+Bojj9cn3HidwXcavNz7XRgK8/77Sc7Tn\n7zvMbOpZqSm5y+/bQs8waNzcvEDT1DgcjsxWmxAEHl68uEVVlZgmOsDN84Lz+Yztdsc/n9aSPE+Y\noxNCqQ4UFe7C8wJ0HW2G+77CsgBadzgeT1Cq42e7wDBo5hOMDKWc0XWdTaciILcG4FiOT1meMQyk\n2KEI1xPSNEeWJaC1KuTipGvTiPqerMvPFaGP4eOPD/zm3/Z9b8MFBMNdKcHo3eLA50LIL+PLxpdA\nNn+pi2zmIB2I8ieK6nVdkaYZJy0utrDtOO9nXxm1De3zZggxgSKFjQpnZXUM/U6zlpE9f2R7rYOm\nqe3PpyKTQBTFnNYWQgjDk/KQJGQBdhyywFNK156ZGmRDJMDwBCEWuK7HTYuBmyYryrJk7gYpzun9\nPhTy13XGui5snwSzbVa2tjhc2CVlRNM0GEdSs7YtoQPSNGXWD7HziJ/lQUrBaIHYXkuyaC22IUQw\n6pXtW5e94dc4PmahevyajzU3HgD24xMQMjXzqMGQJMk7/77rTKLoysmNMzcQYy78T8wQhT1Dmea8\nlB58P+Az38g2JVLjVNWZzy0Ow4wD5DnZ/ne7K2YjRui6jqHlElEU87OD5uUwDMyPG+G6Hr7//h84\nOW+F49A5cJ4H3mOTU0JrhaapGfg/4XSqUFU1lNLI88yetSiVa0UQSGg9WdFAHIdI01t4ngutH1L0\nwjDA1dWN5eXEcYRpmu05F8ATNTkAbvK/fz5+yj3/msaloPMNjeebPprYDstHNXw/sF2IeZ4fMQVc\ndF1l4cJKKd7URiz5k5CSKp5lWTGd3efNaIxxnDEMLeK4wLrmAAQ8j0Csm80WWk+2sxGGAZTKAKzo\n+xV5niJJIpSlsbR4kJIOvYfDAfv9HlGUIgh8bLcb5nkQPO98PmNdJwASw6C5OCRwf3+HMAyw2205\nMjOHlBJS+ryJB9I0Z4nvjM1mA6VIneG6xirzrlzZdb13gNKX8fsffd8/YbiYjRlxL6gI4Hk+sixD\n3/ds9dCsKnPeYb+QlNxjBQ5Z/87nE8vWXUzTiLI8Yre7gZQEX87zLbquRdc1NlHLwPGqqmZQ98jK\nNSOdd3g+k63KgO+U6rDdZjZpIEmMZeQhlnIce+7ChBiGkZOrStzevsAPP/zwSOkz4+7uDQSnDaVp\nDhOjTCkeDZZlQp7T16kA1aOqKgtWJsuliWrNWdb+sEjS4eDp+BKF23P2xOP/NgqFy/j1x+faSMzX\nHisVhBD8eW3t85WAiIllmnVdg7qusN/fw3VdjOOALCuw3e4wTQOGYcI0ZZDSRVVVKMsT4jjmAj4x\nOMZxwPlcYpom+L6Pvtf8uZZwnBV9PyCOY/75lLoxTTPGsec5sXLalGutXEq10HpCFJEd8nC4R9NU\niKIIWZahrjtW3jjMR1jQ9y2iKIWUEn0/IAgGVqf2vGF2bOdU6wE///wjNpstw/4XBplTYWpZVo5q\nfTgELMuMu7u3TxoQtHYR1PxjUcuX8duPL5H5f+h15tBhDiyOI6D1iLqmQt6yUFE9ikLLK6PXPg29\nWFcwu2O2CTUUA06sw65b4fsetAYAA9g3Sh5aA33fs4qVcRzx9u0dpkkjCDxIGSOKErRthWmaIKVj\nD34myabvFSgOXSAMqenY9zWGYeakHoUsIwVMEIQcO05W/XVdUZYVdjtKlAuCDI5DhVFKh8v5uROw\nypQKpaRgozXN9wd7DQgMS/vfu7s7HI9HDhaQkJKi3Ou6sZYYOlA/wFYNS4cKWC5c17MR8ZfxdY1P\nTQR+3twwFrvHhVOAnsVU+DTKLcHsmPAdpbLZ09HPIdsVFSnAnEZKZQWAplHIMtp/luUZ8zxzMUci\nzzPUdQPfJ5WrsTNFUYJh0Og6hXEc+UymUdcNpFzQ9z18P8Af/vAD1nXE8Vgx1NhB3ytOoRuRZRle\nvqRC7r//+79ht7vCMIw4n49YVyCOaf7X9Rlt22EYBux2O6zrgv3+zSNkh0aW5bwPEEgSD2EY2UJM\n03QgVIHkeduzOi/g591s7Wm+H8J1J3uNH6NFHAdc2Hq/NfxzUqC/lnEp6Hwj430yQHqISI5yjFFV\nFatwOo4OJrnd/f09tKY4yigKMc85g1YVoiiDlAIvXrxA17U4Hg84nciKkecZ8pxgeJtNapUQwMqK\ngxFVVdpUkaLIMQwDiqJgvoCHeV4ZouciikK8efMaUrpYVw9leeRuI/k1SWr7ECVOrIUNTGyxAWDS\n5sKFlBJJktjDxUPE58qVY/Jiep6H/X4Px5HYbGKYJJXncmUCZoqvftL/PY0PJ79E8H2NOH7olpB6\nJWBlTmPhiiSpNtBDUhFkWY7D4Q5d17LViTaAjiOYOTXi1as/283lNM22a3F7+xJk95vw888/oW0V\ntO7w8uV3DHL04XkOhAhwc3MNpUgdI6W0KqGbmxusq4u27VDXZ6yrSQryWZJLINYoijEMIyjhZ2RW\nlMNKgx7rOqNpKn5fJMG9ubnh3+fa+dJ1NUx0NHU9JzjOS+ZZ0TJCVjYqkLnuA6SYikTPO9YePnca\nfYmd4TL+8vGh627UAB8aRqlALAtSdxJAPwTB9R07NxyHFJxNU4PmBqlhfF/D933c3LzE6XTEq1cn\nnM8lp8AF/Mx3MAyAELNdf4QQuLq65u7+zABuD2VZscptgpQ0z6UUDFuN8E//9EeUZYm2rQHQptD3\nKTHn6uoKSRJzrDnZSISQ3HEMUdcl/8wTpsnYrgLuQPoYxxomPh1wrB3MdDZd1zCnSFkbBD4rKQak\nafpk3aFia4UsK+zXSLr/oFa7RCb/9cb7Or2/RjHt8aGDbFWkbiPLjznUkHKt77V9/j7+96R6cTCO\nmtWds1Vjaq1ZAepxnLCDMJwwzwnyPEcQhKDExxHzPCMMI3ge8RWvr68sT8ckLQIr8rzANI344Yc/\n2Wjv169fo64rLjbNqKoGde1AiAOkFJgmoywiSyJZaamI2TQdwjDBfn8PIYDNJkdR7ECpdAL7/Z7f\n7cLAVgdZlkEphc1mgzhO4Lou6pqaMF3XIUliVoDPaJoGwAKtHRRFzo3NBXVNXzfQfeJmhdC65+Zk\niHUNL4XTr3x8Dh/u8T1+nIZmIPfmNWEYsCXxYc8TRfF7mlsrN8wlTMKaSU9zXRfn8wlpmiGOQxRF\nYW1cdN7xkSQOrq+vbHPSdcliZQD/eZ5hWRa8efMziqIAMW3IUk/A/xVJEkHrET/++Mqef9q2tvZK\nckesrGgr+WcQ1yuOUyzLyoXawBayo6jmImdoFaqAwz+PYOtKEWMuimJEkcvqoS036n0uTs9srZ4A\ntOwMWZhN5yGKQlbbC75vxH81LhVzv55bwz+XCfi1jEtB53c+PkUSRl2+3nooH7+e4FyaJXrgjh4s\n7LiuK7x69TPD6xZkWYE831hLRRhGqKoafa9Q1zVvYhf2Jbc4nc6Yphl/+tP3mGeHJ5NAmsZomgZ9\nr7HZbFGWB9Q1VZmDIOIHmMThcEDb+vwA1Difz2zrAJIktZXqeZ7R9yOkpKq4UpSCQNyfBUWxgeu6\n8H3fStepQnzF140sU2EYIo5TrOuMKIoQxxGyLIHWsIfYMAzRts17bQRfElV+GX+78TG7iJkjJjnE\nDLOBo4OchFIrhmEEMMPEvbouRRy7boAoiniTDPQ9pQpEUYy2rfn1xH6imMUJXVcjjjOEoY+7uwrn\n8wnADKUaACn6XkOIGeO4snx85m6sQNcpa4dynJU7k5TYlec7SClRliU8z2FrZAQp9SNJKv2vbXuO\nQZ/R9zVbICmly/NclKXpCDU23SSKaAMQxylLzEnua1JBKHYZAIjZsSzLk67H4471l1pAvsTOcBl/\n+Xh+3bXuQYk1QF1Xv9idNp3ytq1RlidI6SMMfYRhDNeVqKoSdV3ZDS/BtltoPSIMfbYvUpra1dU1\nyvLEh1SyLFKRtYDrErPAdSXO5zPiOAKxBihNkWDHDm5uXqBtjVpI8HwSyLKUD7guzueSC5mCWVc7\njONi+W30+V1t7HEcpwxaD6B1w0o22vjXdYUkSRAEMYpiY1PnlOrheZIVZiXu7zWur68hBCBECGLz\nTGia1q47ZnNt2FwP15waG57nfdDieBm//vitOr3PDx1kjVBo24otfwtcN7AqU2MTMiBSz/OYkWiK\nhiPDUX22QwR4+fIlyrLEMDywDl+8eMl7oNauRbvdNSjhcYGxAK6rgyDwIYTEbneNIPDR98oWSsmS\nO/LPWPlAOqMszzgc9hhH4keFIVlIKMo44cYdpSoC0qZQkbrVZfuXj7qucT6fsN+/RRDEGAbNCm8H\n0zQhyxIMQ2ITT5OEuFXUePAxjjNDoBsQ14rWqDAMOfVH8TUkVUGa5sjzDADsNb8Ucr7u8bl8ONPc\nMMplSoCi/aPrutjv99Ba2AbT4z2PSYWjlF/a+5h1U6nWnqfO5xPDuUOMIyk6XVdiu92hLM/QmprX\nL158hzzPMc+UhEqff4k8J2i/UaeGoQ/PC60FS0qJIPCRpjlc12Pez4ow9JmDGHFDYmDVN62NwzDh\n/v7eKu7O5zNevHgJxxH8vsiOTNxSCcdx+UxJheG7u7cQwiTCunAcD9ttwWo7j/eFPqIogRDU5Jzn\nFUK4iGNSw8VxDpMkSUyxBWlKc3KeZw4wAQeBPH0Gm/vwJUzAr2VcCjq/4/EpGwVD4++61i7YJumA\nupce+l5zWs/Mh8sBUro2vYrim8neQYBIigoPgoh9oWTdurt7i67r2P88IwwThCEt4gSYI6XAZrPB\nNNHiudtdYxgGHA5vofXIEvQKQoD9oJK7PjSht9sCQZDAcUjlM47E5SCfJgGbwzBCkqT84JkYrBUi\niiKYOMk0zVmu6/LmxkWa5mjbBtM0outGCDGztJCSjQzH4UuYEZfx+xy/dJ+MZ/fxw52SBAJ4Xs8L\neA5Ky1jh+yFvBmkOZVnCBRniCNCCQsq485kiX4UglY/renaT3fc98rzgomnAstsRSh2hVA/HIck8\ndVB7LItju6GOQ+Bjx/ERxy6iKIDWGkWxtYwCYtsQKyqKErZfKaRphnEccT6fYGDp87ygac5YFvpv\npTrc3r7A1dWV7TQdjyccjyf4vo801RwXC/ZxC+T55skm1/z/x2xSXzr+nlILfk/DXHfqBkZwHPHI\nzrFyZHhm1yjzPUojW9n3Tp52+iz7kNJB1ym2wtIcpHQQgjwSVyPA+XxmBUKCIPAsxJVSrhZorVn9\n4qHrSJUQRQTYD4IA2+0WhnlDyrOO0zRmtlAGLHGndeDqaoftdmvfA+DYhCyCIa8YhgcbybLMSNPC\ndkmFcHA6HbkABFY/+AiCFfv93oYL0HMkY4ClYws/YRiyQtComAYsywopTWFWcNFHPGniAMD7OHCX\n8duM36rT+6FDRxiGGEeNJCGrogGKk+VQ8xpFCYlp6qLvB2azUcIOAUkXlOUZy5LZ4AuyG1KKYJZl\nfFDt0bYEKaY5buwag/2cV1WJriux2+2g1MTNvAjzPKJpFPb7e9R1iaqigqqJJzbJj9O0oG1bBEFo\n7fBBQOBXx4l4jxlai4UQklN6AvS9glItxpGSV4EFXddDSqAsS/T9Br5PzRayg0Q25pw6/y6WhWDh\nxN8ZmbEYM47ARZbRYdEgBmi+LZc94DcyvmSvHwQBmqYCJTeSnZ8YjNSwG8f1HZaZUREbKyxFfNO/\nVUrhfD7bpvz19Y21HhuVipQ+4jiwFv3ttuAiq2C+YYCyLAGQe6FpKo79phCMvu+4IEtW3mWhZp3j\nSCRJzEpsgXUdUFUVM1CBrhu5wUlKvaYpreJ1s8nheS7iOLN/Kyl/Qt5jlggCFwRmHm3B1TDfKFnu\nhudWYtWrL16QGvd0OkHrBlK6rNJ9YUNApBSsqH/g4+R5gjiuQVHrH+Y1fsvnu0tB53c6PmWjYF5j\nkjrMhlmI0T5clOpQ1xXK8sysAo+LOhpNUzNbxsWyzBjHCU3TcEfDx/X1LVuwFuz391YOb7qiFGWX\nQEqzsacH1fE4c4GnsjF1BgIZBB66rsMwEIvDAIpJtUN+7nWdIYRrwao00SlCXErq7jdNjSwr+IFH\nVHjXlXBdie+++0e8ePESQeAjSYjzYZQYJv6TJr1jwa+PLSK/NL7Wyf73OD5m0zELrjlImm8TpNVB\nklCcuPl3wzAhigI4jstMjwFKaf7cCriui7ZVUGqA1iVL1SdQfLhgFs+KrlO8SJv48IF/V89Axhla\ndwiCBL4fIAhiCLGg7weWhzvwPAHPSyzrx6gGwjDF9fUVxnFCFFEanVI1oihFHKfMHylxf3+Ptq1Z\nKSf44CgxTTPatsY47qyP+ng8cKIBwaOFcOH7FCkbhg+gSNoU0PitVTOXQs7fbpgC6GM7B6koJ9t5\nJIDqYOXhQggb49q2LScgKgCFTaoCzEGWWDhd18JEgwvhoKoaNE1lO5KkHlOoKlLRLMuI7fYacUwd\nTxNv/6BWHflQqe17MUUVAp/TRjCOqTkQRcR6u79/y1JzcIBAzzBZ6rqSMnaBUg3bg10u3oRYV8UH\nZYpp3W6vMc8T6rpm65ZnU0+0JnXf8biH7/vI8w3CMGC448O6RO+HJPxa9/yMoUEd2s2Tzetj/spl\n/Hrjt+z0fuh+mc+yEMJCsU0zD4Bl6TRNgyAgO7vh7LQt2YPneeRDmcK6CrZOOhxyQbDf8/mEtqWD\nF6nb6N/c39+hKHaW12FAzFoPSJKUlTYECTeqHCo2HfD27Z2NTqY9HTUQjOWL7PGA1jT3g8CF6wZw\n3YRZNSGkJEW6WfeEkDaAY5pGaF2jbQfQPnWG67r44Yc/4ng84Orq2u4Hu66F7wfQukcQeFhXF76f\nIwwDTnLsrJonjhMkSfzo3lz2gN/K+BI+HFlaCZpPDbzQnh0oeY2UrBSe8f7GEwH2F1AwDc0HWsfA\nqU3EqiIwt7QNxTiOoVQD3w8xzyMOhxLDMGKeBy4ySczzjKYpmX+jQClwNbMjF6yrYPWdQpqmEGLh\nQIsQUURq0Wmi4nAUJZgmanr0vYbnuVCqZYTAgDdv3sL3zzDprFo7bNcy4RUUn77f3zPSI4JSit9n\nCKUaSEk8S/pbBIQgRio5SULr0tCabMZS+kiSBFK6zODqbdHXJGc9v1+PLflfcs+/lnEp6PwOx6ds\nFADY19DaL/hAKpiZ4UMpslWYCL1pUhCiR9+PcJyVCxwCSZJjGGbu1k/2YdN1PY7HA3dqOsRxCq01\npOy4Au1yZ8PFq1evWPkTIAw9rKvghxzR2I11q66NvYU6pY7jWKbPutIh2qiAHEciTUkCn+c5KGrW\nY6kgSQsdR+B4PABwEEUJimKL7757afkK5hqaa0oPlJ67LHRdTaXXDMMxeVwEMA/rC6vj6xvvt+l4\nWNfOWjAA6sJRaoXGMPSI4wTL4mFdwRL3lhMFPDRNg2Gg7mdREEdKqRZVdeTN6Q5pmlr57DCQDJ46\nlHRopYPswulsxN2JopCtkREch9IPhFggpW+VQ2bRd10Xw6DQdT2KIkff90jTHLvdNbquY7vlgL7v\nEccZ4jhm6+WKdRU81wcbIQkQcJMUFA53oDSn4i2cNBAzKNrD8XhCHEcYx9GmhBmGw7fgR76Md4c5\naJrUP1MMfTzGcbDWqcev13qw8m1TYCnLEvM8sZXQ5c5lxwltM4AJvh9xAXFlSKli7o3L4Pqa/44U\nfd/Zg2pdt3Cckjen4A1fjHUFW1Ho76CoZVK95Hlh/17TXby6uuFmhI+2bdA0HaQEd/8XVgpohGGI\nqqq5cOqxijSwSoQ0JaVfHCccwUpAfrK3dKCmhGtBl8DCazm9d9rU0zUmOf6AZRlZKQdQccm165NR\n+NJ7WaHUQ8LjZfzl47fs9H7o3wlOMjPDFE7p4Ofb9cNYJYwl1qQXVhVZ2snOPoFSGENWqvkIAlpn\npmmA70c4Ho/QurPvR+uR7ewK87xgsynQNC3qmjhsAMFRkyRhhfWMum7Rth3GUaNpNKvCJeI4Rtdp\nVpRJu+Z4nsuKNmogUGqiCykJ/F9VJXzfZVvWzMmSewwDpbRKSbwbxwH2+z1c18V2u+N1fsVms0Pf\nU1PFdX0oRfwPSnOlGGUCyjq8hxSWT3ThtX1b40u4fI+/ZhSUVLQc4XkLhgFwXRdJktrvm2FcEfQ5\nJVsSWRIFQ4MJBj7PM6IoxGZDKAkDCB6GgRXfM96+vcd+/xbrSrB+pVr0PTkqqAgkMM/B8Rg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mvzFSJmgDi9n92OGocGJNs0lK6T5zlub19is0ngug2W8oz/499/RNI/2CyytoF7LvFv/9v/bveb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\nVvdoqiv08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+D11z+uZWN0a5ZVypYwYNsOwyALTRznDAOkaar4GDX7fU5d9yRJSZoW9D3U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/28jzHGHoC+qPta16/+q/9913HJwumaLI9PpyHE8azr689qwP+VPE61w137bftW0reoCD1ECu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\nhBBCCCFky/j/8slbhm/0A5EAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f95944b8160>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, axes = plt.subplots(ncols=K, sharex=True, sharey=True, figsize=(16, 3))\n",
"\n",
"colors = sns.color_palette(n_colors=K)\n",
"\n",
"for i, (ax, x) in enumerate(zip(axes, X.T)):\n",
" ax.scatter(x, y, c='k', alpha=0.05);\n",
"\n",
" x_aug = np.random.uniform(-0.25, 0.25, size=K)\n",
" x_aug[i] = np.sqrt(α)\n",
" \n",
" y_aug = np.random.uniform(-1., 1., size=K)\n",
" y_aug[i] = 0.\n",
" \n",
" ax.scatter(x_aug, y_aug, c=colors);\n",
"\n",
" ax.set_xlabel(f\"$x_{i}$\");\n",
" \n",
"axes[0].set_ylabel(\"$y$\");\n",
"fig.tight_layout();"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.6.3"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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