diff --git a/doc/pub/week38/ipynb/week38.ipynb b/doc/pub/week38/ipynb/week38.ipynb index 92233816e..155f2d74c 100644 --- a/doc/pub/week38/ipynb/week38.ipynb +++ b/doc/pub/week38/ipynb/week38.ipynb @@ -175,7 +175,7 @@ "outputs": [ { "data": { - "image/png": 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TpkyZUiV5iIiqyvW9UchsHISmZw8hz9gEJ6d/jlc2/cDiR4exADIgxRUof/zxB8zNzTF//nzMmTMHEomkyBQZGSlOYCKiauDs/B/h1asraj5MQbKDG25v34fW8z+CxIhfsbqMPx0D9ssvv2DYsGFYvHgxZsyYAQBo1KgRUlJSNKYOHTqInJSISPcIgoA9s39A85nvQqrMx4WgtrCKuYC6vTqLHY3KgAWQNmVllTzl5pa9bU5O2dq+gPnz52PChAlYv3493nzzTfVyExMTuLm5aUxmZoU36IqJicFLL70ECwsLODk54a233ir10RVZWVkYMWIErK2t4e7ujgULFrxQZiIiXVGgVGFmxEVMzXBHrEstnOg/Eo1PH4JdTRexo1EZsQDSJmvrkqcBAzTburiU3PbZZ2X5+hbfroI++OADfP755/jrr78w4NlcJcjOzkaPHj3g4OCA06dP4/fff0dkZCQmTJhQ4jbTp0/HwYMHsXXrVuzbtw+HDh3C2bNnS2xPRFQdKBR5mLjhPDafuQOFuSUubvwLwVtXwdiU1xVVJ6IWQFFRUejTpw88PDwgkUiwbds2jfXFjUeRSCT4+uuvS9znqlWrit0m99keGAO1e/duzJs3D9u3b0fXrl2LrI+JiYG1tbV6atWqFQBg3bp1yMnJwZo1a9C4cWO89NJLWLx4MX777Tfcu3evyH4yMzOxYsUKfPPNNwgNDUVAQABWr14NpVJZ6cdIRFRZch5n4GqLjvD5ZTHMjI3w47BmeK1zQ7FjUQWIWq5mZWUhKCgIb7zxRrE9ESkpKRrzu3fvxpgxY57ba2Fra4urV69qLDM3r4KR+KU9ydzYWHM+La3kts8OnLt1q8KRnhUYGIgHDx7gk08+QcuWLWFjY6Oxvn79+tixY4d6XiotvE17XFwcgoKCYGVlpV7Xtm1bqFQqXL16Fa6urhr7uXHjBvLy8hASEqJe5ujoiPr162vtWIiIqlKuPBM3Qjoj8MpZ1DaNxkufT0WrRm5ix6IKErUACgsLQ9izp3ue4uam+cHavn07OnfujFq1apW6X4lEUmTbKvFUcSBa2+eoWbMmIiIi0LlzZ/To0QN79uzRKILMzMyKfVipIAiQSCTF7rO45YIgaC0zEZHYFFnZuNquG4KunEWWmQWS1kWgVXve2LA6qzZjgO7du4edO3dizJgxz22bmZkJHx8feHp6onfv3jh//nyp7RUKBeRyucakz7y9vXH48GGkpaWhW7duZTpef39/REdHI+upwdf//PMPjIyMUK9evSLt69SpA1NTU5w4cUK97NGjR7h27Zp2DoKIqIoUKPIQ26k3gmKOI8dEiturN6HBwJL/807VQ7UpgFavXg0bGxu88sorpbZr0KABVq1ahR07dmDDhg0wNzdH27ZtER8fX+I24eHhsLOzU09eXl7ajq9zPD09cejQIaSnp6Nbt26QyWSlth82bBjMzc0xcuRIXLp0CQcPHsTEiRMxfPjwIqe/AMDa2hpjxozB9OnTceDAAVy6dAmjRo2CEe+LQUTViKBS4VzvoWh25iDyjE1w/eff4P9qH7FjkRZUm2+jX3/9Vf0lXJrg4GC8/vrrCAoKQvv27bF582bUq1cPP/zwQ4nbzJo1CzKZTD0lJSVpO75OqlmzJg4fPozHjx8jNDQUjx8/LrGtpaUl9u7di4cPH6Jly5YYOHAgunTpgsWLF5e4zddff40OHTqgb9++6Nq1K9q1a4fmzZtXwpEQEVWO7YvWo1VkBFSQIPbb5QgYNUjsSKQlEkFHBmtIJBJs3bq12EcpHDlyBB06dEB0dDSCgoLKve+xY8fizp072L17d5nay+Vy2NnZQSaTwdbWVmNdbm4uEhIS4OfnVzUDq4nAzx2RGLZH38XkjdF4/fwu9G7kguBvZ4sdiZ6jtO/vZ1WLmxasWLECzZs3r1DxIwgCoqOjERDAwWpERFQ20UmPMf33iwAA84njEdzbX+REpG2ingLLzMxEdHQ0oqOjAQAJCQmIjo5GYmKiuo1cLsfvv/+ucbfip40YMQKzZs1Sz3/66afYu3cvbt68iejoaIwZMwbR0dEYN25cpR4LERHphwc3EnG332BYZj5GqL8rPuzJ+/zoI1F7gM6cOYPOnf97ZsrUqVMBACNHjsSqVasAABs3boQgCHjttdeK3UdiYqLGwNrHjx/jrbfeQmpqKuzs7NC0aVNERUWpb+hHRERUkvxcBdLC+qFXfDRqZMvQcN5RGBkVfwsQqt50ZgyQLinLGCBfX19YWFiIlJAMTU5ODm7dusUxQESV7ET/kQjevgaZZpZ4eDAK3m144UZ1Up4xQNXmKjBdYWpqCqDw2VhEVeXJ5+3J54+ItC/6x98QvH0NACD+myUsfvRctRgErUuMjY1hb2+PtH8fZWFpaVniHZKJXpQgCMjOzkZaWhrs7e1h/OwjVYhIKx5cS4DPtIkAgBN9hyN44ihxA1GlYwFUAU8es5FW2vO8iLTI3t5enMe7EBkAVYESqf0Ho3G2DDdq1kXT9T+JHYmqAAugCpBIJHB3d4eLiwvy8/PFjkN6ztTUlD0/RJVoU8Q/aH/3NrJNpTD9fSOkVpZiR6IqwALoBRgbG/OLiYioGrtxPxNzYrJgMnoJvmsAdA1pJnYkqiIsgIiIyCApVQJm/HERigIVWjX2RpfRvF2KIeFVYEREZJBOzPgS9bevh7WZMeYOCOQFLQaGPUBERGRw7p6NRbPvvkDbAgW6d2mCmva8r5uhYQ8QEREZFEGlwoMxb8OiQIFLDZqjw/ujxY5EImABREREBiV6yRoEXfgHeUYmsP11OSRG/Co0RPypExGRwch+JIPbJx8AAM4OGg1vXvVlsFgAERGRwbjwzgy4P76HVHsXBP04X+w4JCIWQEREZBDuxiei2R8rAQApn86FpYOdyIlITLwKjIiIDEL46QdIGjoXY9POodeEkWLHIZGxACIiIr13LvER/rqYAknN+qg1900OfCaeAiMiIv0mqFT4ce1hAMDAZp7w97AVORHpAhZARESk184vXIHFnwzCtGMbMK17fbHjkI5gAURERHqrQJEH53mfQ6osQHMfe7jamosdiXQECyAiItJb5+cuhff9JDyytEXjBZ+KHYd0CAsgIiLSS/m5Cnh8X3ivn6vDx8HGxUnkRKRLWAAREZFeOv/ZItR8mIJ0K3sEhn8odhzSMSyAiIhI7yiysuG9dAEAIH7MRN70kIpgAURERHrn0NpdsM+SIc3WGU2+mCl2HNJBLICIiEivFChV+ELmiHbjVuD03KUwt7ESOxLpIBZARESkV3bGpCDpYQ5ULq54acwrYschHcUCiIiI9IaqQIm9v+0GAIxu6wsLM2ORE5Gu4rPAiIhIb1xcth5Lvx2LyAZt0PKTg2LHIR3GHiAiItILgkoFiwXzAABWjRvCztJM5ESky1gAERGRXri6bR/qJ8RCYWyKuuEfiR2HdBwLICIi0gvZ8wrv+3OhQy841/EVNwzpPBZARERU7aVcvIKg038DAJw/miFyGqoOWAAREVG1d/uzr2EsqHCpQQvUeilE7DhUDbAAIiKiai0rNx/OUQcAAAWTJomchqoLUQugqKgo9OnTBx4eHpBIJNi2bZvG+lGjRkEikWhMwcHBz91vREQE/P39IZVK4e/vj61bt1bSERARkdi2nL+LsJGL8MnwOQgcO1TsOFRNiFoAZWVlISgoCIsXLy6xTY8ePZCSkqKedu3aVeo+jx8/jiFDhmD48OG4cOEChg8fjsGDB+PkyZPajk9ERCITBAGrjt1CvrEpao8bCSMT3viQykbUGyGGhYUhLCys1DZSqRRubm5l3ueiRYsQGhqKWbNmAQBmzZqFw4cPY9GiRdiwYcML5SUiIt1y5twNJNyTw8rcDAOae4odh6oRnR8DdOjQIbi4uKBevXoYO3Ys0tLSSm1//PhxdOvWTWNZ9+7dcezYsRK3USgUkMvlGhMREek+o/HvImrZWEwTEmAt5cMNqOx0ugAKCwvDunXr8Pfff2PBggU4ffo0XnrpJSgUihK3SU1Nhaurq8YyV1dXpKamlrhNeHg47Ozs1JOXl5fWjoGIiCrHg+u3EXj6b3jK09ChQ6DYcaia0ekCaMiQIejVqxcaN26MPn36YPfu3bh27Rp27txZ6nYSiURjXhCEIsueNmvWLMhkMvWUlJSklfxERFR5rs/9HqYqJa74NUbt0LZix6Fqplr1F7q7u8PHxwfx8fEltnFzcyvS25OWllakV+hpUqkUUqlUazmJiKhyKfML4BOxDgCQMXKMyGmoOtLpHqBnpaenIykpCe7u7iW2CQkJwf79+zWW7du3D23atKnseEREVEUu/boZ7o/v4bGFDQLee1PsOFQNidoDlJmZievXr6vnExISEB0dDUdHRzg6OmLOnDkYMGAA3N3dcevWLXz44YdwdnbGyy+/rN5mxIgRqFmzJsLDwwEAkydPRocOHTBv3jz069cP27dvR2RkJI4ePVrlx0dERJVD+csvAIArof0RbGstchqqjkQtgM6cOYPOnTur56dOnQoAGDlyJH788UfExMRgzZo1ePz4Mdzd3dG5c2ds2rQJNjY26m0SExNhZPRfR1abNm2wceNGfPTRR/j4449Ru3ZtbNq0Ca1bt666AyMiokrzKDEFjc8dAQC4Th4nchqqriSCIAhih9A1crkcdnZ2kMlksLW1FTsOERE9ZeXRm/hz2RYMSI/DsF0rxI5DOqQ839/VagwQERHRH+fu4lzNhij46GOxo1A1xgKIiIiqjcvJcsQmy2FmbIS+QR5ix6FqrFpdBk9ERIbt/vuz8MWVBNx8bTQcrMzEjkPVGHuAiIioWsjLzkXgjnV4PXo3+tnmih2HqjkWQEREVC3ErtgIh2wZHlg7otEbg8WOQ9UcCyAiIqoeVq0CAFzv3h8mUp7+ohfDAoiIiHTeo9vJaBxdeENbt4lvi5yG9AELICIi0nnXlqyEqUqJ65514duxldhxSA+wACIiIp1nvS0CAPCg9ysiJyF9wcvgiYhIp6U+zsEh57qwSUuG77ujxY5DeoI9QEREpNP+iknB1x1GYOpXEXALqCd2HNITLICIiEin/XkhGQDQt2lNkZOQPmEBREREOivp4jU4Ho6EmaoAYY3dxY5DeoQFEBER6aw73/2ElX98inWRC1HDRip2HNIjLICIiEhnue/aWviPXr3FDUJ6hwUQERHppIRDJ+Gbegt5Riao9+5IseOQnmEBREREOil12UoAQGxQG9i51xA5DekbFkBERKRzBJUKnpE7AQDKQYNETkP6iAUQERHpnNtHzsDrwR3kGZug/pjXxI5DeogFEBER6Zzbm3cAAOIat4aNi5PIaUgf8VEYRESkc+bV7YYvR7tjWudaYkchPcUCiIiIdEpiejYup2bAyMUXLV7uInYc0lM8BUZERDplb2wqAKC1nxMcrcxETkP6ij1ARESkU5q/OwzfqaRQzpkjdhTSYyyAiIhIZzy4loBmsSfQDMC9AE+x45Ae4ykwIiLSGTd+WQcAuOrrD9eGdUROQ/qMBRAREekMy78KL39/1J3P/qLKxQKIiIh0guxOKhpeOQsAqPnGUJHTkL5jAURERDrh2spNMBFUSHDzg1frILHjkJ5jAURERDrBaGfhs79SO3UXOQkZAl4FRkREossrUOFvW1+YutWBw6uviB2HDAALICIiEt3pWw+xpFk/bOowCKf6dBU7DhkAngIjIiLRHYhLAwB0ru8CIyOJyGnIELAAIiIiUQkqFbK3bIOVIhtdGrqIHYcMhKgFUFRUFPr06QMPDw9IJBJs27ZNvS4/Px8zZ85EQEAArKys4OHhgREjRiA5ObnUfa5atQoSiaTIlJubW8lHQ0REFZF4/DzmrvofTi4difbetmLHIQMhagGUlZWFoKAgLF68uMi67OxsnDt3Dh9//DHOnTuHLVu24Nq1a+jbt+9z92tra4uUlBSNydzcvDIOgYiIXlDK2t8BADfrBcHK1krkNGQoRB0EHRYWhrCwsGLX2dnZYf/+/RrLfvjhB7Rq1QqJiYnw9vYucb8SiQRubm5lzqFQKKBQKNTzcrm8zNsSEdGLsT2wFwCQE9pD5CRkSKrVGCCZTAaJRAJ7e/tS22VmZsLHxweenp7o3bs3zp8/X2r78PBw2NnZqScvLy8tpiYiopLI7qSi3vWLAACvEYNFTkOGpNoUQLm5ufjggw8wdOhQ2NqWfI64QYMGWLVqFXbs2IENGzbA3Nwcbdu2RXx8fInbzJo1CzKZTD0lJSVVxiEQEdEz4lf/rr77s0eThmLHIQNSLe4DlJ+fj1dffRUqlQpLly4ttW1wcDCCg4PV823btkWzZs3www8/4Pvvvy92G6lUCqlUqtXMRET0fJInd3/uGAo/kbOQYdH5Aig/Px+DBw9GQkIC/v7771J7f4pjZGSEli1bltoDREREVa8gLx91z/8DAHAY/LLIacjQ6PQpsCfFT3x8PCIjI+Hk5FTufQiCgOjoaLi7u1dCQiIiqqjo5Az0GrkIX/SeiLq8+zNVMVF7gDIzM3H9+nX1fEJCAqKjo+Ho6AgPDw8MHDgQ586dw19//QWlUonU1FQAgKOjI8zMzAAAI0aMQM2aNREeHg4A+PTTTxEcHIy6detCLpfj+++/R3R0NJYsWVL1B0hERCU6fO0+kuzdcK9jMxib6vwJCdIzon7izpw5g86dO6vnp06dCgAYOXIk5syZgx07dgAAmjRporHdwYMH0alTJwBAYmIijIz+68h6/Pgx3nrrLaSmpsLOzg5NmzZFVFQUWrVqVbkHQ0RE5XLo6n0AQMd6NUROQoZIIgiCIHYIXSOXy2FnZweZTFbuMUdERPR86QlJONt9MA7Vao4pm7+Gi62F2JFID5Tn+5t9jkREVOUS1m1Ft/gTqJWTDhfbok8DIKpsOj0ImoiI9NSePQCA+207P6chUeVgAURERFVKmV+A2v9e/m73ch+R05ChYgFERERV6vreKDhky5EhtUTdfqFixyEDxQKIiIiq1MM/Cq/wjQ9oDVNz3oWfxMECiIiIqpRD1AEAQEFod5GTkCFjAURERFXmsTwbj5QS5BsZw3voK2LHIQPGy+CJiKjKHEl4jImvhSPIzgjbG9cVOw4ZMPYAERFRlYm6Vnj355YBPiInIUPHAoiIiKqEoFLhQswtAEB7Pv6CRMZTYEREVCWSTl3A7i9ewTnPhmg857zYccjAsQeIiIiqRPLvf8JYUMHS0hwW5qZixyEDxwKIiIiqhPTQQQCAvH0ncYMQgQUQERFVgQJFHurEngIAOPXrKXIaIhZARERUBa7vPAgbRTZk5tao3b2D2HGIWAAREVHle7RjNwDgRmBrGJvy+hsSHwsgIiKqdHb/HAIA5Hd+SdwgRP9iGU5ERJUqU1GAVfU7o4OJLZoO7i92HCIALICIiKiSnbyZjs2Nu+JEh76IauYvdhwiADwFRkRElezo9QcAgLZ1nEVOQvQfFkBERFSpLNavRe0HSWhfx0nsKERqEkEQBLFD6Bq5XA47OzvIZDLY2tqKHYeIqNpKu3ITLg1rQwUJMpKSYefpJnYk0mPl+f5mDxAREVWa25t2AABueNdn8UM6hQUQERFVGklkJADgQQhvfki6hQUQERFVCkGlgm/0cQCATe8wkdMQaWIBRERElSLx6Fk4Zz5ErokZ6vQLFTsOkQYWQEREVClS/338xfW6gTC3sRI5DZEmFkBERFQpTKKiAAAZIe1FTkJUFO8ETUREWqdSCZgUOgF1fDtg2qjeYschKoIFEBERad3Vexm4qzTFw/qt0KBNE7HjEBXBU2BERKR1x2+kAwBa+DrA1JhfNaR72ANERERa5zb3U3zwIBPWAe+IHYWoWCzLiYhIq1QFSrQ9EIFxJyPQ0loldhyiYolaAEVFRaFPnz7w8PCARCLBtm3bNNYLgoA5c+bAw8MDFhYW6NSpE2JjY5+734iICPj7+0MqlcLf3x9bt26tpCMgIqJn3TzwD+xyM5FpZonaPTqKHYeoWBUugAoKChAZGYlly5YhIyMDAJCcnIzMzMwy7yMrKwtBQUFYvHhxsevnz5+Pb7/9FosXL8bp06fh5uaG0NBQ9esV5/jx4xgyZAiGDx+OCxcuYPjw4Rg8eDBOnjxZvgMkIqIKefDnXgDAjQZNYCI1EzkNUfEq9DT427dvo0ePHkhMTIRCocC1a9dQq1YtTJkyBbm5ufjpp5/KH0QiwdatW9G/f38Ahb0/Hh4emDJlCmbOnAkAUCgUcHV1xbx58/D2228Xu58hQ4ZALpdj9+7d6mU9evSAg4MDNmzYUOw2CoUCCoVCPS+Xy+Hl5cWnwRMRVUB0k/ZocuEoTrzzAYKXhosdhwxIpT8NfvLkyWjRogUePXoECwsL9fKXX34ZBw4cqMgui0hISEBqaiq6deumXiaVStGxY0ccO3asxO2OHz+usQ0AdO/evdRtwsPDYWdnp568vLxe/ACIiAxQgSIPta+cAwA49e4hchqiklWoADp69Cg++ugjmJlpdm36+Pjg7t27WgmWmpoKAHB1ddVY7urqql5X0nbl3WbWrFmQyWTqKSkp6QWSExEZrpv7jsBGkQ25uTVqhbYVOw5RiSp0GbxKpYJSqSyy/M6dO7CxsXnhUE+TSCQa84IgFFn2ottIpVJIpdKKhyQiIgDAzYvxcLC0x536gWhqyjutkO6qUA9QaGgoFi1apJ6XSCTIzMzE7Nmz0bNnT60Ec3NzA4AiPTdpaWlFenie3a682xARkXZscG+GlhN+Q8xX34sdhahUFSqAFi5ciMOHD8Pf3x+5ubkYOnQofH19cffuXcybN08rwfz8/ODm5ob9+/erl+Xl5eHw4cNo06ZNiduFhIRobAMA+/btK3UbIiJ6cflKFU7feghIJGgR6Cd2HKJSVah/0sPDA9HR0di4cSPOnj0LlUqFMWPGYNiwYRqDop8nMzMT169fV88nJCQgOjoajo6O8Pb2xpQpU/DVV1+hbt26qFu3Lr766itYWlpi6NCh6m1GjBiBmjVrIjy88EqDyZMno0OHDpg3bx769euH7du3IzIyEkePHq3IoRIRURnF3EhDtqIADlZmaOCm3eEQRFoniOjgwYMCgCLTyJEjBUEQBJVKJcyePVtwc3MTpFKp0KFDByEmJkZjHx07dlS3f+L3338X6tevL5iamgoNGjQQIiIiypVLJpMJAASZTPYih0dEZFCOj5kq3LNyEDYPfU/sKGSgyvP9XaH7AK1evRrOzs7o1asXAGDGjBlYvnw5/P39sWHDBvj4+GivQhNBee4jQEREhWIatUbA5VM4MWU2ghfOETsOGaBKvw/QV199pT7Vdfz4cSxevBjz58+Hs7Mz3nvvvYrskoiIqjFFdg5qx18AALj2CxM5DdHzVWgMUFJSEurUqQMA2LZtGwYOHIi33noLbdu2RadOnbSZj4iIqoEbfx2Ef74CD63s4NuhpdhxiJ6rQj1A1tbWSE9PB1B4hVXXrl0BAObm5sjJydFeOiIiqhZku/cBAG41agmJkajP2SYqkwr1AIWGhuLNN99E06ZNce3aNfVYoNjY2Go//oeIiMrP9njhlbb5Hfn0d6oeKlSmL1myBCEhIbh//z4iIiLg5OQEADh79qzGJepERKT/cjOyUOf6RQCAG8f/UDVRoavAACA3NxcXL15EWloaVCqVxrq+fftqJZxYeBUYEVHZnTp3A+ffmYHAR4kIvnKSp8BINOX5/q7QKbA9e/ZgxIgRSE9Px7P1k0QiKfY5YUREpJ+OpivxfefR6BvkgRAWP1RNVOiTOmHCBAwaNAjJyclQqVQaE4sfIiLDcuJG4UUxIbWdRE5CVHYVKoDS0tIwdepUPmCUiMjA5cgyYXX4ACzychFSiwUQVR8VKoAGDhyIQ4cOaTkKERFVN9e37sXKjR9j/+qJ8HGyFDsOUZlVaAzQ4sWLMWjQIBw5cgQBAQEwNTXVWD9p0iSthCMiIt2WuXc/ACClUTN4SiQipyEquwoVQOvXr8fevXthYWGBQ4cOQfLUh14ikbAAIiIyEA4n/yn8B58CQNVMhQqgjz76CJ999hk++OADGHHEPxGRQcpKf4zat+MAADVf7ilyGqLyqVD1kpeXhyFDhrD4ISIyYNe37oWpSokUe1d4NPUXOw5RuVSoghk5ciQ2bdqk7SxERFSNZO+LBADcadJa5CRE5VehU2BKpRLz58/H3r17ERgYWGQQ9LfffquVcEREpLucTj0Z/9NZ3CBEFVChAigmJgZNmzYFAFy6dEljnYRXARAR6b2M3HxM6joerW/H4J0h1fvxR2SYKlQAHTx4UNs5iIioGjl96yGuOPsip74/Pm1QS+w4ROXGUcxERFRux588/oJ3f6ZqigUQERGVW53v52LIhb1o72L6/MZEOqhCp8CIiMhwye6mYdC+tRgCAQ++e0/sOEQVwh4gIiIql5tbdsEIAhJreMG5np/YcYgqhAUQERGVi2L/AQBASrNgkZMQVRwLICIiKheXs8cBACZdXhI5CVHFsQAiIqIye3Q7GbWSbwAAfAf2EjkNUcWxACIiojJLiNgFALjl6gsnPy+R0xBVHAsgIiIqs/Tzl6CCBPeac/wPVW+8DJ6IiMpsftOXMc0xGAv71hc7CtELYQFERERlcj9Dgfi0TMDCBk2CG4kdh+iF8BQYERGVyYmbhY+/aOBmA0crM5HTEL0YFkBERFQmjv+bgc3rZmD448tiRyF6YTwFRkREZeJ9Kgpe95Ng6mQudhSiF8YeICIieq60uBvwup8EpcQItXj/H9IDOl8A+fr6QiKRFJnGjx9fbPtDhw4V2/7KlStVnJyISH8kRuwEANz0qgc79xoipyF6cTp/Cuz06dNQKpXq+UuXLiE0NBSDBg0qdburV6/C1tZWPV+jBn9hiYgqSvX3QQDAg5ZtUVfkLETaoPMF0LOFy9y5c1G7dm107Nix1O1cXFxgb29ficmIiAyHZ/QJAIBVj64iJyHSDp0/Bfa0vLw8rF27FqNHj4ZEIim1bdOmTeHu7o4uXbrg4MGDpbZVKBSQy+UaExERFUo+fxkej1KRb2SM2i/3EDsOkVZUqwJo27ZtePz4MUaNGlViG3d3dyxfvhwRERHYsmUL6tevjy5duiAqKqrEbcLDw2FnZ6eevLz4fBsioicuXkvBvrrBuODfGlZO9mLHIdIKiSAIgtghyqp79+4wMzPDn3/+Wa7t+vTpA4lEgh07dhS7XqFQQKFQqOflcjm8vLwgk8k0xhERERmiKRvPY1t0Mia+VAfvd+MjMEh3yeVy2NnZlen7W+fHAD1x+/ZtREZGYsuWLeXeNjg4GGvXri1xvVQqhVQqfZF4RER6SRAEHLtReAfokNpOIqch0p5qcwps5cqVcHFxQa9e5b//xPnz5+Hu7l4JqYiI9Nut+CSYJd2GmYkRmnk7iB2HSGuqRQ+QSqXCypUrMXLkSJiYaEaeNWsW7t69izVr1gAAFi1aBF9fXzRq1Eg9aDoiIgIRERFiRCciqtbu/fIbji77CMdahsL8izCx4xBpTbUogCIjI5GYmIjRo0cXWZeSkoLExET1fF5eHqZNm4a7d+/CwsICjRo1ws6dO9GzZ8+qjExEpBdMDx8CAEga8envpF+q1SDoqlKeQVRERPpKVaCEzM4JDtkyXPl9FxoMZA8Q6bbyfH9XmzFARERUtW5FnYJDtgzZpuao1bOz2HGItIoFEBERFStt+24AwPX6TWBmySfAk35hAURERMWSHjkMAMhu20HkJETaxwKIiIiKUOYXoPblswAAp97dRU5DpH3V4iowIiKqWrF3HmFJz8lolxyHod3aix2HSOtYABERURHHEuXYW68NlP1exnAzU7HjEGkdT4EREVERTx5/0YaPvyA9xR4gIiLSkJ+rQMs1P0Dh0Qghfm3FjkNUKVgAERGRhvjtkZh4eC1et7SD3ZrpYschqhQ8BUZERBpkfxXe/+dmYGsYmRiLnIaocrAAIiIiDQ7/FN7/R9mli8hJiCoPCyAiIlKT33uAOrcuAwC8h/QXNwxRJWIBREREatc3/wUTQYUkZ0+4BdQTOw5RpWEBREREavl79gIAklvw6i/SbyyAiIhIzTYmGgBgFsbHX5B+42XwREQEALj7OAe9Xp2HwLSbWDO0v9hxiCoVe4CIiAgA8E/8A6iMjGHUqiVsnR3EjkNUqVgAERERAODI9QcAgHZ1nEVOQlT5eAqMiIigKlDinWlD0M7JF3UHLxU7DlGlYwFERES4eeAf+CfHw+fBHZj5e4kdh6jS8RQYERHhwdadAID4hs1hai4VOQ1R5WMBREREsDpyCACQ27GzqDmIqgoLICIiA5ebkYW616IBAO4D+ogbhqiKsAAiIjJw17fuhXlBHtJsnODdrrnYcYiqBAsgIiIDl/HXbgDA7aYhkBjxa4EMA68CIyIycBfzzVHD0ROSbt3EjkJUZVgAEREZsHvyXITX74G5DXrg7OSuYschqjLs6yQiMmCHr94HAAR62sPRmpe/k+FgAUREZMCuHTgGs4J8dKpXQ+woRFWKp8CIiAxUgSIPk+aMwXsqJW73jhI7DlGVYg8QEZGBurZtP2wVWcgzNUP9tk3FjkNUpVgAEREZKNnWHQCAm03awNiUJwTIsLAAIiIyUC5HDwIAhB49RE5CVPV0ugCaM2cOJBKJxuTm5lbqNocPH0bz5s1hbm6OWrVq4aeffqqitERE1ceD+ATUvhsPAPB7/RWR0xBVPZ0ugACgUaNGSElJUU8xMTEltk1ISEDPnj3Rvn17nD9/Hh9++CEmTZqEiIiIKkxMRKT7En7bAgCI924AJz8vkdMQVT2dP+lrYmLy3F6fJ3766Sd4e3tj0aJFAICGDRvizJkz+OabbzBgwIBKTElEVL0Y79sDAEhv9xLqipyFSAw63wMUHx8PDw8P+Pn54dVXX8XNmzdLbHv8+HF0e+ZW7t27d8eZM2eQn59f4nYKhQJyuVxjIiLSVwVKFb5oNhDzOo6EzYihYschEoVOF0CtW7fGmjVrsHfvXvz8889ITU1FmzZtkJ6eXmz71NRUuLq6aixzdXVFQUEBHjx4UOLrhIeHw87OTj15ebE7mIj01/mkxzhn64kNLw1Fg9A2YschEoVOF0BhYWEYMGAAAgIC0LVrV+zcuRMAsHr16hK3kUgkGvOCIBS7/GmzZs2CTCZTT0lJSVpIT0SkmyLj7gEAOtarAWOjkv82EukznR8D9DQrKysEBAQgPj6+2PVubm5ITU3VWJaWlgYTExM4OTmVuF+pVAqplM/AISLDUDf8E/S190P3V94WOwqRaHS6B+hZCoUCcXFxcHd3L3Z9SEgI9u/fr7Fs3759aNGiBUxNTasiIhGRTks6fg4Dj/yBb3YuRHsfO7HjEIlGpwugadOm4fDhw0hISMDJkycxcOBAyOVyjBw5EkDhqasRI0ao248bNw63b9/G1KlTERcXh19//RUrVqzAtGnTxDoEIiKdcve33wEAVxs0g42rs8hpiMSj06fA7ty5g9deew0PHjxAjRo1EBwcjBMnTsDHxwcAkJKSgsTERHV7Pz8/7Nq1C++99x6WLFkCDw8PfP/997wEnojoX7b7dwMAssN6iZyESFwS4ckoYVKTy+Wws7ODTCaDra2t2HGIiLTi0e1k2Pp5wVhQIfXiVbgF1BM7EpFWlef7W6dPgRERkfZcX7UJxoIKN2rWZfFDBo8FEBGRgTD5608AQFrnbs9pSaT/WAARERmA3LwC5N0vvIms82uDRE5DJD6dHgRNRETacTzhId549SsECJnY0aO92HGIRMceICIiAxB5ufDuz0Eh/pAY8U8/EX8LiIj0nKpAiRPnbgAAujR0fU5rIsPAAoiISM9d27Efu78ahKU7v0Gb2iU/FojIkLAAIiLSc4/XbICZqgAu9laQmhiLHYdIJ7AAIiLSY4JSCd9DhXd/Nh48UOQ0RLqDBRARkR6L33kQbrL7yDKzQMORLICInmABRESkxx6uXg8AuNK8A8xtrUVOQ6Q7WAAREekpQaWC98HC01+Sgez9IXoaCyAiIj11Y+8ReDxKRbapFA1HDxE7DpFO4Z2giYj01M4MM6R3fRutbAX0trcROw6RTmEBRESkh1QqAZtv5uBu8z5oNbSp2HGIdA5PgRER6aFziY9w93EOrMyM0ZV3fyYqgj1ARER66N4XX2PonQxIBg+GuSlvfkj0LBZARER6Jj9XgTYbfkSvbBliBvHJ70TF4SkwIiI9c3l1BByyZUi3skfD118WOw6RTmIBRESkZ/J/WwsAuN6pJ0ykZiKnIdJNLICIiPRI9iMZ/E8dBADYjx0lbhgiHcYCiIhIj1xeugaW+bm46+iOen26iB2HSGexACIi0iPma1cDABJ7D4LEiH/iiUrC3w4iIj2RdE+G1Hwj5BsZw/f9d8SOQ6TTeBk8EZGe+OPiPXw3cDZ6uJnip8AGYsch0mnsASIi0gMqlYA/zt4BAIR1aiRyGiLdxwKIiEgPnPv7NITE27AxN0H3Rm5ixyHSeSyAiIj0gGT2bBz9cQzmJv3NR18QlQELICKiau5xYgoanzwAIwio90oPseMQVQssgIiIqrkrc7+HVJmPGzXrok5YR7HjEFULLICIiKoxVYESXpsK7/2TPnIM7/1DVEb8TSEiqsZift2Emg9TIJdaIWD6u2LHIao2WAAREVVnS5cCAC53fwUW9jYihyGqPnS6AAoPD0fLli1hY2MDFxcX9O/fH1evXi11m0OHDkEikRSZrly5UkWpiYiqxp1bKfC9Eg0AqPnh++KGIapmdPpO0IcPH8b48ePRsmVLFBQU4H//+x+6deuGy5cvw8rKqtRtr169CltbW/V8jRo1KjsuEVGV+i3uMX57dxXezL+Fqa2DxI5DVK3odAG0Z88ejfmVK1fCxcUFZ8+eRYcOHUrd1sXFBfb29pWYjohIPJmKAqw/mYhsMwsEvDlc7DhE1Y5OnwJ7lkwmAwA4Ojo+t23Tpk3h7u6OLl264ODBg6W2VSgUkMvlGhMRkS77888TyMjJR60aVujSwEXsOETVTrUpgARBwNSpU9GuXTs0bty4xHbu7u5Yvnw5IiIisGXLFtSvXx9dunRBVFRUiduEh4fDzs5OPXl5eVXGIRARaUV+rgKd33wFu1dOxFRfIxgZScSORFTtSARBEMQOURbjx4/Hzp07cfToUXh6epZr2z59+kAikWDHjh3FrlcoFFAoFOp5uVwOLy8vyGQyjXFERES64MwX36PFx5PxwNoB1slJMLcpfUwkkaGQy+Wws7Mr0/d3tegBmjhxInbs2IGDBw+Wu/gBgODgYMTHx5e4XiqVwtbWVmMiItJFgkoFp6XfAQDiXx3N4oeognS6ABIEARMmTMCWLVvw999/w8/Pr0L7OX/+PNzd3bWcjoio6sX8uhl+KTeRbWoO/zkzxI5DVG3p9FVg48ePx/r167F9+3bY2NggNTUVAGBnZwcLCwsAwKxZs3D37l2sWbMGALBo0SL4+vqiUaNGyMvLw9q1axEREYGIiAjRjoOISBsElQrSLz8HAFzsNQTBNTn4maiidLoA+vHHHwEAnTp10li+cuVKjBo1CgCQkpKCxMRE9bq8vDxMmzYNd+/ehYWFBRo1aoSdO3eiZ8+eVRWbiKhSXPx5I4JuXUaOiRR1vvlM7DhE1Vq1GQRdlcoziIqIqCoIgoDIkN4IPbkLJwaMRvAfK8SORKRzyvP9rdM9QEREVGj/5Xt4q+M76OXTEp/PfVPsOETVnk4PgiYiIkClErAwMh6QSOA7+lU4+pX/algi0sQCiIhIxx1avwt3E5JhLTXB2Pa1xI5DpBd4CoyISIdlP5Kh8fhROJifhwOL1sDe0kzsSER6gT1AREQ67MKUj+EifwCFuSX6vtZV7DhEeoMFEBGRjrp3OR5N1i8HAKR8+Cnv+kykRSyAiIh0VNLb78GiQIG42oFoNpVXfhFpEwsgIiIddGnVH2hxdCdUkMDku0WQGPHPNZE28TeKiEjH5DySw/H9SQCA071eQ91enUVORKR/eBUYEZGOWXLgKmp6BqCzSolGqxaLHYdIL7EAIiLSITF3ZFh6Ng2qsElYPaAeOjo7iB2JSC/xFBgRkY7IlmdiyoazUAlA70B3dGxZV+xIRHqLBRARkY6I7T8cny6ZikbIwGf9Gosdh0iv8RQYEZEOODv/R7Q8uA0qSDAvwAKOVrzjM1FlYg8QEZHI7p6JQd1PpgMATr76NhoP6ydyIiL9xwKIiEhE8nsPUNC7D2wVWbji1xgtVi4SOxKRQWABREQkEmV+ARK69YPPvdtIs3WG854dMDWXih2LyCCwACIiEsk/o6Yg6OIx5JhIIdvwB5zr+YkdichgsAAiIhLB0kPX8bF1EO7YuuDylwtRt2dHsSMRGRReBUZEVMVWH7uF+XuuAg4e2LtxP8aEBYodicjgsAAiIqpCJz+aj4NXs4HaLTHppToY062+2JGIDBILICKiKiCoVDjx9gyE/LIAzYyMsXLBJowNrSd2LCKDxQKIiKiSqQqUOPXKKIT8uRYAcGbgaIyd9DIkEonIyYgMFwdBExFVItndNMQ074Dgf4ufExM/Qsim5ZAY8c8vkZj4G0hEVElu7P8HmYFNEHTxGHJNzHDmqx8Q/P3nYsciIvAUGBGR1ilVAn45chMP56/CrIcpSHZ0R/b6jWjRvYPY0YjoXyyAiIi06HrSA8z48yrOJT6GUdM+CJAWoP1P4fDwdBM7GhE9hafAiIi0QHYnFSf6vA6ToCDE3kyDjdQEcwc1Ra8/f4Udix8incMeICKiF5CRlo5LH81Fw7XLEJyTAQCYmh2H3h+9h5r2FiKnI6KSsAAiIqqAtLgbuPnFt/DfsgYhuZkAgAQ3P2SGz8PbowaJnI6InocFEBFRGeUVqHD0+n3sPHAR4ZN6IlhVAAC47eKNtAlT0XTGOzCRmomckojKggUQEVEpsh/JcG3jDtyNOoUP6vdGRm5h0dPHJwguJkrkvv0umkweDR8TY5GTElF5sAAiInpKVvpj3N5/BLLdkbA7HoU6Ny6hiaoAgZBgzvhWsHB3R69Ad3i+sxt1fGqIHZeIKqhaFEBLly7F119/jZSUFDRq1AiLFi1C+/btS2x/+PBhTJ06FbGxsfDw8MCMGTMwbty4KkxMRLquQJGHlOg4XDezQ3yGEldTMxG4YhFe378G/oJKo22qXQ3cbheK5UObICi4MYyM+AgLoupO5wugTZs2YcqUKVi6dCnatm2LZcuWISwsDJcvX4a3t3eR9gkJCejZsyfGjh2LtWvX4p9//sG7776LGjVqYMCAASIcARFVpbwcBWS5BZDlC5Dl5CM3JhYmUYegSroDk5RkWKSlwPbBPbilp8BLVYD3hs3DGc9GAAAjY1sYCyqk2TrjToMmyO/cGR4v94JnywC48dEVRHpFIgiCIHaI0rRu3RrNmjXDjz/+qF7WsGFD9O/fH+Hh4UXaz5w5Ezt27EBcXJx62bhx43DhwgUcP368TK8pl8thZ2cHmUwGW1vbFz+IfykKlLifngHj1JQi6578FFS2thDsHQpn8vNhnHy3xP0JNjZQOjgVzhQUwCQpsWgbFO5YZW0NVQ2Xf19EBZNbCSjpJy9YWaPA1VUdzOTm9eLDAlBZWkHp7qGeN7kRj5J2rDK3REFNT/W86Y14QKksPoNUigIfX/XLmd68Dkl+QTHHBwhSM+T71vpvvzevQ6LIQ3EpBFNT5Neuq35fTBNuwCg3V+PYnsQXTEyQV6/Bf/tNuAFJVnaxeWFkhNyG/v+1vZUA40z507vVkNs46L+2t2/BWP64+P0CyPEPBP798jVNvAWTR4/+2+8zR5nTKAAwKfx/jUliIkwePih2nwKA3AaNIEilhfu9kwjT+2n/Zi36zuU0bATB3AICANPkOzAt5jP8JEpO/YZQWVkX7jc1GWZ37wAQoMpXQpWfD6EgH6r8Agh5BUhv0gK5NvYoUKlgef0q7C6eBwoKIBTkQ8gvKPx3Xh6QnY3oTn2R4uyBnDwlfM8eRZt9m2GiyIWJIhfSnCxYZslhm50By/xcDB/8GY74NQMAvBa9B+F7Fxf7PuSamOGb4R8htWsv1HGxRhNbCRrbm8C5nl+x7YlIt5Xn+1une4Dy8vJw9uxZfPDBBxrLu3XrhmPHjhW7zfHjx9GtWzeNZd27d8eKFSuQn58PU1PTItsoFAooFAr1vFwuL9JGG2KT5Zj16Xrs/XVCiW1+bD0Q8zqNAgB4P0pB1PKxJbZd1aw35oQWntqrkfkIp5cML7HtpoBQzOw5GQBgpchG7KLBJbb9s0F7TOw3EwBgpFLi5tf9SmwbWbsl3hw4Wz1/9ZuXIVXmF9v2H59ADHv1K/X8+e9eg0NuRrFtz7vXx8sjFqjnjy0dBY+M4r/Mrzj7oMeYJer5Az+PQ+2Hd4pte9veDS+9/Yt6/s9VkxFw70axbe9b2aPlhLXq+c3rZqDVncvFts00s0Dj935Xz6/e/Ak6Jpwrtq1SYoTaM3ao53/c+hXCrhX/eQaA+u9vgcKk8Mqib/9agFdiD5bYtsmk9XhsUfhL/+XexRgWvafEtiHvrESKbeEYlv/9/QvGnt5WYtsub/6IG05eAICpUb9h0vFNJbbtPXIRLrnVAQC8c+J3zDy8usS2A5/qfXnjzHbMPvBziW1/VLggqlZzAMCQC1cx/nxUiW3tcjNhY24Ce0tTKBs2xPn7HaFwdYdQsyZMvL1g4esNp6CGcPWvi484eJnIIOl0AfTgwQMolUq4PumN+JerqytSU1OL3SY1NbXY9gUFBXjw4AHc3d2LbBMeHo5PP/1Ue8FLYCSRwMzECDkm0pIbmZrCwrTwD7KZqQmyTM0BAMWOODAzg6WZMSQALMyMkWVW8k3XBKkU1tLCH7clTJAhtSyxrVJqDhupCSABjFQSyKVWJbbNN7eErfl/H6MMc2vkllAA5Zlbwt7yvwI0w9IakqcOTHhqJsfSGg5Ptc20tMWjEvabbWUDJ6v/Lj3OtLJFusK+2LaZVnZwtn7SVoJsazs8yHIo0k4CQGZlhxo2//2ssm3scd/Gsdj95piZw8VGqj6eHFt7pNk4FdtWMDKCm625el5ha497diUPpnWzNUe+aWHmfDsHpBZp+9/75mZvCSuLws+B0t4BKfauKImLgyWMbf/9zNg7INmh5LsVOztaI8+xsK3EyRF3HYv+Hj1Rw9EaPk6Fny8TRwfccSrsIVQZGUNlbAylkQlUxoX/9vOqAWNfR5gYS2CTXR8X7reBytgEgrExBGMTCCYmEExNoTK3QLuOQWhStw6kpsZwC5DiZBMPGFtZwsjSEiZ2NjB3rQFL1xqwca+B71ydYWz65HP5EoB3S8xLRIZJp0+BJScno2bNmjh27BhCQkLUy7/88kv89ttvuHLlSpFt6tWrhzfeeAOzZs1SL/vnn3/Qrl07pKSkwM2t6B/54nqAvLy8tH4KjIiIiCqP3pwCc3Z2hrGxcZHenrS0tCK9PE+4ubkV297ExAROTsX/j1wqlUIqLaVXhoiIiPSKTl/WYGZmhubNm2P//v0ay/fv3482bdoUu01ISEiR9vv27UOLFi2KHf9DREREhkenCyAAmDp1Kn755Rf8+uuviIuLw3vvvYfExET1fX1mzZqFESNGqNuPGzcOt2/fxtSpUxEXF4dff/0VK1aswLRp08Q6BCIiItIxOn0KDACGDBmC9PR0fPbZZ0hJSUHjxo2xa9cu+Pj4AABSUlKQmPjf5d9+fn7YtWsX3nvvPSxZsgQeHh74/vvveQ8gIiIiUtPpQdBiqaz7ABEREVHlKc/3t86fAiMiIiLSNhZAREREZHBYABEREZHBYQFEREREBocFEBERERkcFkBERERkcFgAERERkcFhAUREREQGhwUQERERGRydfxSGGJ7cHFsul4uchIiIiMrqyfd2WR5ywQKoGBkZGQAALy8vkZMQERFReWVkZMDOzq7UNnwWWDFUKhWSk5NhY2MDiUSi1X3L5XJ4eXkhKSlJL58zpu/HB+j/MfL4qj99P0YeX/VXWccoCAIyMjLg4eEBI6PSR/mwB6gYRkZG8PT0rNTXsLW11dsPNqD/xwfo/zHy+Ko/fT9GHl/1VxnH+Lyenyc4CJqIiIgMDgsgIiIiMjgsgKqYVCrF7NmzIZVKxY5SKfT9+AD9P0YeX/Wn78fI46v+dOEYOQiaiIiIDA57gIiIiMjgsAAiIiIig8MCiIiIiAwOCyAiIiIyOCyARNS3b194e3vD3Nwc7u7uGD58OJKTk8WOpRW3bt3CmDFj4OfnBwsLC9SuXRuzZ89GXl6e2NG06ssvv0SbNm1gaWkJe3t7seO8sKVLl8LPzw/m5uZo3rw5jhw5InYkrYmKikKfPn3g4eEBiUSCbdu2iR1Jq8LDw9GyZUvY2NjAxcUF/fv3x9WrV8WOpVU//vgjAgMD1TfPCwkJwe7du8WOVWnCw8MhkUgwZcoUsaNoxZw5cyCRSDQmNzc30fKwABJR586dsXnzZly9ehURERG4ceMGBg4cKHYsrbhy5QpUKhWWLVuG2NhYLFy4ED/99BM+/PBDsaNpVV5eHgYNGoR33nlH7CgvbNOmTZgyZQr+97//4fz582jfvj3CwsKQmJgodjStyMrKQlBQEBYvXix2lEpx+PBhjB8/HidOnMD+/ftRUFCAbt26ISsrS+xoWuPp6Ym5c+fizJkzOHPmDF566SX069cPsbGxYkfTutOnT2P58uUIDAwUO4pWNWrUCCkpKeopJiZGvDAC6Yzt27cLEolEyMvLEztKpZg/f77g5+cndoxKsXLlSsHOzk7sGC+kVatWwrhx4zSWNWjQQPjggw9ESlR5AAhbt24VO0alSktLEwAIhw8fFjtKpXJwcBB++eUXsWNoVUZGhlC3bl1h//79QseOHYXJkyeLHUkrZs+eLQQFBYkdQ409QDri4cOHWLduHdq0aQNTU1Ox41QKmUwGR0dHsWNQMfLy8nD27Fl069ZNY3m3bt1w7NgxkVLRi5DJZACgt79zSqUSGzduRFZWFkJCQsSOo1Xjx49Hr1690LVrV7GjaF18fDw8PDzg5+eHV199FTdv3hQtCwsgkc2cORNWVlZwcnJCYmIitm/fLnakSnHjxg388MMPGDdunNhRqBgPHjyAUqmEq6urxnJXV1ekpqaKlIoqShAETJ06Fe3atUPjxo3FjqNVMTExsLa2hlQqxbhx47B161b4+/uLHUtrNm7ciHPnziE8PFzsKFrXunVrrFmzBnv37sXPP/+M1NRUtGnTBunp6aLkYQGkZcUN8np2OnPmjLr99OnTcf78eezbtw/GxsYYMWIEBB2+OXd5jw8AkpOT0aNHDwwaNAhvvvmmSMnLriLHqC8kEonGvCAIRZaR7pswYQIuXryIDRs2iB1F6+rXr4/o6GicOHEC77zzDkaOHInLly+LHUsrkpKSMHnyZKxduxbm5uZix9G6sLAwDBgwAAEBAejatSt27twJAFi9erUoeUxEeVU9NmHCBLz66qultvH19VX/29nZGc7OzqhXrx4aNmwILy8vnDhxQme7dMt7fMnJyejcuTNCQkKwfPnySk6nHeU9Rn3g7OwMY2PjIr09aWlpRXqFSLdNnDgRO3bsQFRUFDw9PcWOo3VmZmaoU6cOAKBFixY4ffo0vvvuOyxbtkzkZC/u7NmzSEtLQ/PmzdXLlEoloqKisHjxYigUChgbG4uYULusrKwQEBCA+Ph4UV6fBZCWPSloKuJJz49CodBmJK0qz/HdvXsXnTt3RvPmzbFy5UoYGVWPDscX+RlWV2ZmZmjevDn279+Pl19+Wb18//796Nevn4jJqKwEQcDEiROxdetWHDp0CH5+fmJHqhKCIOj038zy6NKlS5Grot544w00aNAAM2fO1KviByj8rouLi0P79u1FeX0WQCI5deoUTp06hXbt2sHBwQE3b97EJ598gtq1a+ts7095JCcno1OnTvD29sY333yD+/fvq9eJed8HbUtMTMTDhw+RmJgIpVKJ6OhoAECdOnVgbW0tbrhymjp1KoYPH44WLVqoe+wSExP1ZtxWZmYmrl+/rp5PSEhAdHQ0HB0d4e3tLWIy7Rg/fjzWr1+P7du3w8bGRt2bZ2dnBwsLC5HTaceHH36IsLAweHl5ISMjAxs3bsShQ4ewZ88esaNphY2NTZExW0/GiOrDWK5p06ahT58+8Pb2RlpaGr744gvI5XKMHDlSnEBiXoJmyC5evCh07txZcHR0FKRSqeDr6yuMGzdOuHPnjtjRtGLlypUCgGInfTJy5Mhij/HgwYNiR6uQJUuWCD4+PoKZmZnQrFkzvbqE+uDBg8X+rEaOHCl2NK0o6fdt5cqVYkfTmtGjR6s/nzVq1BC6dOki7Nu3T+xYlUqfLoMfMmSI4O7uLpiamgoeHh7CK6+8IsTGxoqWRyIIOjziloiIiKgSVI9BGURERERaxAKIiIiIDA4LICIiIjI4LICIiIjI4LAAIiIiIoPDAoiIiIgMDgsgIiIiMjgsgIiIiMjgsAAiojLr1KkTpkyZInaMYqWnp8PFxQW3bt0CABw6dAgSiQSPHz+u1Net6OusWrUK9vb25dqmZcuW2LJlS7m2IaLisQAiItGkpKRg6NChqF+/PoyMjEosriIiIuDv7w+pVAp/f39s3bq1SJvw8HD06dMHvr6+lRtaRB9//DE++OADqFQqsaMQVXssgIhINAqFAjVq1MD//vc/BAUFFdvm+PHjGDJkCIYPH44LFy5g+PDhGDx4ME6ePKluk5OTgxUrVuDNN9+squii6NWrF2QyGfbu3St2FKJqjwUQEVXIo0ePMGLECDg4OMDS0hJhYWGIj4/XaPPzzz/Dy8sLlpaWePnll/Htt99qnPbx9fXFd999hxEjRsDOzq7Y11m0aBFCQ0Mxa9YsNGjQALNmzUKXLl2waNEidZvdu3fDxMQEISEhJeZNT0/Ha6+9Bk9PT1haWiIgIAAbNmzQaNOpUydMnDgRU6ZMgYODA1xdXbF8+XJkZWXhjTfegI2NDWrXro3du3cX2f8///yDoKAgmJubo3Xr1oiJidFYv2rVKnh7e6vfi/T0dI31N27cQL9+/eDq6gpra2u0bNkSkZGRGm2MjY3Rs2fPIrmJqPxYABFRhYwaNQpnzpzBjh07cPz4cQiCgJ49eyI/Px9AYUEwbtw4TJ48GdHR0QgNDcWXX35Z7tc5fvw4unXrprGse/fuOHbsmHo+KioKLVq0KHU/ubm5aN68Of766y9cunQJb731FoYPH67RkwQAq1evhrOzM06dOoWJEyfinXfewaBBg9CmTRucO3cO3bt3x/Dhw5Gdna2x3fTp0/HNN9/g9OnTcHFxQd++fdXvxcmTJzF69Gi8++67iI6ORufOnfHFF19obJ+ZmYmePXsiMjIS58+fR/fu3dGnTx8kJiZqtGvVqhWOHDlStjePiEom2nPoiaja6dixozB58mTh2rVrAgDhn3/+Ua978OCBYGFhIWzevFkQBEEYMmSI0KtXL43thw0bJtjZ2ZW672eZmpoK69at01i2bt06wczMTD3fr18/YfTo0RptDh48KAAQHj16VOLx9OzZU3j//fc1MrRr1049X1BQIFhZWQnDhw9XL0tJSREACMePH9d4nY0bN6rbpKenCxYWFsKmTZsEQRCE1157TejRo4fGaw8ZMqTE9+IJf39/4YcfftBYtn37dsHIyEhQKpWlbktEpWMPEBGVW1xcHExMTNC6dWv1MicnJ9SvXx9xcXEAgKtXr6JVq1Ya2z07X1YSiURjXhAEjWU5OTkwNzcvdR9KpRJffvklAgMD4eTkBGtra+zbt69ID0tgYKD638bGxnByckJAQIB6maurKwAgLS1NY7unT785OjpqvBdxcXFFTs89O5+VlYUZM2bA398f9vb2sLa2xpUrV4rks7CwgEqlgkKhKPV4iah0JmIHIKLqRxCEEpc/KUyeLVJK2640bm5uSE1N1ViWlpamLkQAwNnZGY8ePSp1PwsWLMDChQuxaNEiBAQEwMrKClOmTEFeXp5GO1NTU415iUSisezJMZXlSqyn34vnmT59Ovbu3YtvvvkGderUgYWFBQYOHFgk38OHD2FpaQkLC4vn7pOISsYeICIqN39/fxQUFGiMn0lPT8e1a9fQsGFDAECDBg1w6tQpje3OnDlT7tcKCQnB/v37NZbt27cPbdq0Uc83bdoUly9fLnU/R44cQb9+/fD6668jKCgItWrVKjJo+0WcOHFC/e9Hjx7h2rVraNCgAYDC9+vp9c+2f5Jv1KhRePnllxEQEAA3Nzf1PY2edunSJTRr1kxruYkMFQsgIiq3unXrol+/fhg7diyOHj2KCxcu4PXXX0fNmjXRr18/AMDEiROxa9cufPvtt4iPj8eyZcuwe/fuIr1C0dHRiI6ORmZmJu7fv4/o6GiNYmby5MnYt28f5s2bhytXrmDevHmIjIzUuGdQ9+7dERsbW2ovUJ06dbB//34cO3YMcXFxePvtt4v0LL2Izz77DAcOHMClS5cwatQoODs7o3///gCASZMmYc+ePZg/fz6uXbuGxYsXY8+ePUXybdmyBdHR0bhw4QKGDh1abC/TkSNHigwKJ6LyYwFERBWycuVKNG/eHL1790ZISAgEQcCuXbvUp4vatm2Ln376Cd9++y2CgoKwZ88evPfee0XG6jRt2hRNmzbF2bNnsX79ejRt2hQ9e/ZUr2/Tpg02btyIlStXIjAwEKtWrcKmTZs0xh8FBASgRYsW2Lx5c4l5P/74YzRr1gzdu3dHp06d4Obmpi5QtGHu3LmYPHkymjdvjpSUFOzYsQNmZmYAgODgYPzyyy/44Ycf0KRJE+zbtw8fffSRxvYLFy6Eg4MD2rRpgz59+qB79+5Fenru3r2LY8eO4Y033tBabiJDJREqclKeiKgCxo4diytXrlTKZdy7du3CtGnTcOnSJRgZ6ef/7aZPnw6ZTIbly5eLHYWo2uMgaCKqNN988w1CQ0NhZWWF3bt3Y/Xq1Vi6dGmlvFbPnj0RHx+Pu3fvwsvLq1JeQ2wuLi6YNm2a2DGI9AJ7gIio0gwePBiHDh1CRkYGatWqhYkTJ2LcuHFixyIiYgFEREREhkc/T5QTERERlYIFEBERERkcFkBERERkcFgAERERkcFhAUREREQGhwUQERERGRwWQERERGRwWAARERGRwfk/uSp9OVlaRXAAAAAASUVORK5CYII=\n", + "image/png": 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\n", 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" ] @@ -201,7 +201,7 @@ "# Generate the data.\n", "nsamples = 100\n", "x = np.random.randn(nsamples)\n", - "y = 3*x**2# + np.random.randn(nsamples)\n", + "y = 3*x**2#+ np.random.randn(nsamples)\n", "\n", "## Cross-validation on Ridge regression using KFold only\n", "\n", @@ -213,7 +213,7 @@ "lambdas = np.logspace(-3, 5, nlambdas)\n", "\n", "# Initialize a KFold instance\n", - "k = 5\n", + "k = 10\n", "kfold = KFold(n_splits = k)\n", "\n", "# Perform the cross-validation to estimate MSE\n",