From 3cc82e5acab0705ff1402b101c74848ce993142c Mon Sep 17 00:00:00 2001 From: Morten Hjorth-Jensen Date: Fri, 30 Oct 2020 14:12:43 +0100 Subject: [PATCH 1/2] added data --- doc/pub/week44/ipynb/Datafiles/cancer.dot | 20 +- doc/pub/week44/ipynb/Datafiles/ride.dot | 2 +- doc/pub/week44/ipynb/week44.ipynb | 843 ++++++++++++++++++---- 3 files changed, 728 insertions(+), 137 deletions(-) diff --git a/doc/pub/week44/ipynb/Datafiles/cancer.dot b/doc/pub/week44/ipynb/Datafiles/cancer.dot index 5777bf8e2..27a38310a 100644 --- a/doc/pub/week44/ipynb/Datafiles/cancer.dot +++ b/doc/pub/week44/ipynb/Datafiles/cancer.dot @@ -6,23 +6,23 @@ edge [fontname=helvetica] ; 0 -> 1 [labeldistance=2.5, labelangle=45, headlabel="True"] ; 2 [label="worst concave points <= 0.135\ngini = 0.031\nsamples = 253\nvalue = [[249, 4]\n[4, 249]]", fillcolor="#e78946"] ; 1 -> 2 ; -3 [label="area error <= 48.975\ngini = 0.008\nsamples = 242\nvalue = [[241, 1]\n[1, 241]]", fillcolor="#e5833c"] ; +3 [label="radius error <= 0.643\ngini = 0.008\nsamples = 242\nvalue = [[241, 1]\n[1, 241]]", fillcolor="#e5833c"] ; 2 -> 3 ; 4 [label="gini = 0.0\nsamples = 239\nvalue = [[239, 0]\n[0, 239]]", fillcolor="#e58139"] ; 3 -> 4 ; -5 [label="concavity error <= 0.017\ngini = 0.444\nsamples = 3\nvalue = [[2, 1]\n[1, 2]]", fillcolor="#fdf6f0"] ; +5 [label="mean perimeter <= 78.51\ngini = 0.444\nsamples = 3\nvalue = [[2, 1]\n[1, 2]]", fillcolor="#fdf6f0"] ; 3 -> 5 ; 6 [label="gini = 0.0\nsamples = 1\nvalue = [[0, 1]\n[1, 0]]", fillcolor="#e58139"] ; 5 -> 6 ; 7 [label="gini = 0.0\nsamples = 2\nvalue = [[2, 0]\n[0, 2]]", fillcolor="#e58139"] ; 5 -> 7 ; -8 [label="worst texture <= 29.455\ngini = 0.397\nsamples = 11\nvalue = [[8, 3]\n[3, 8]]", fillcolor="#fae9dd"] ; +8 [label="mean texture <= 20.84\ngini = 0.397\nsamples = 11\nvalue = [[8, 3]\n[3, 8]]", fillcolor="#fae9dd"] ; 2 -> 8 ; 9 [label="gini = 0.0\nsamples = 8\nvalue = [[8, 0]\n[0, 8]]", fillcolor="#e58139"] ; 8 -> 9 ; 10 [label="gini = 0.0\nsamples = 3\nvalue = [[0, 3]\n[3, 0]]", fillcolor="#e58139"] ; 8 -> 10 ; -11 [label="worst texture <= 24.785\ngini = 0.278\nsamples = 6\nvalue = [[1, 5]\n[5, 1]]", fillcolor="#f4caac"] ; +11 [label="mean texture <= 16.22\ngini = 0.278\nsamples = 6\nvalue = [[1, 5]\n[5, 1]]", fillcolor="#f4caac"] ; 1 -> 11 ; 12 [label="gini = 0.0\nsamples = 1\nvalue = [[1, 0]\n[0, 1]]", fillcolor="#e58139"] ; 11 -> 12 ; @@ -30,11 +30,11 @@ edge [fontname=helvetica] ; 11 -> 13 ; 14 [label="worst texture <= 20.645\ngini = 0.202\nsamples = 167\nvalue = [[19, 148]\n[148, 19]]", fillcolor="#f0b68c"] ; 0 -> 14 [labeldistance=2.5, labelangle=-45, headlabel="False"] ; -15 [label="worst area <= 964.4\ngini = 0.375\nsamples = 16\nvalue = [[12, 4]\n[4, 12]]", fillcolor="#f9e3d4"] ; +15 [label="worst concavity <= 0.318\ngini = 0.375\nsamples = 16\nvalue = [[12, 4]\n[4, 12]]", fillcolor="#f9e3d4"] ; 14 -> 15 ; 16 [label="gini = 0.0\nsamples = 11\nvalue = [[11, 0]\n[0, 11]]", fillcolor="#e58139"] ; 15 -> 16 ; -17 [label="mean concavity <= 0.06\ngini = 0.32\nsamples = 5\nvalue = [[1, 4]\n[4, 1]]", fillcolor="#f6d5bd"] ; +17 [label="mean area <= 694.45\ngini = 0.32\nsamples = 5\nvalue = [[1, 4]\n[4, 1]]", fillcolor="#f6d5bd"] ; 15 -> 17 ; 18 [label="gini = 0.0\nsamples = 1\nvalue = [[1, 0]\n[0, 1]]", fillcolor="#e58139"] ; 17 -> 18 ; @@ -42,16 +42,16 @@ edge [fontname=helvetica] ; 17 -> 19 ; 20 [label="mean concave points <= 0.049\ngini = 0.088\nsamples = 151\nvalue = [[7, 144]\n[144, 7]]", fillcolor="#ea985d"] ; 14 -> 20 ; -21 [label="concave points error <= 0.01\ngini = 0.48\nsamples = 15\nvalue = [[6, 9]\n[9, 6]]", fillcolor="#ffffff"] ; +21 [label="compactness error <= 0.016\ngini = 0.48\nsamples = 15\nvalue = [[6, 9]\n[9, 6]]", fillcolor="#ffffff"] ; 20 -> 21 ; 22 [label="gini = 0.0\nsamples = 9\nvalue = [[0, 9]\n[9, 0]]", fillcolor="#e58139"] ; 21 -> 22 ; 23 [label="gini = 0.0\nsamples = 6\nvalue = [[6, 0]\n[0, 6]]", fillcolor="#e58139"] ; 21 -> 23 ; -24 [label="mean smoothness <= 0.079\ngini = 0.015\nsamples = 136\nvalue = [[1, 135]\n[135, 1]]", fillcolor="#e6853f"] ; +24 [label="fractal dimension error <= 0.013\ngini = 0.015\nsamples = 136\nvalue = [[1, 135]\n[135, 1]]", fillcolor="#e6853f"] ; 20 -> 24 ; -25 [label="gini = 0.0\nsamples = 1\nvalue = [[1, 0]\n[0, 1]]", fillcolor="#e58139"] ; +25 [label="gini = 0.0\nsamples = 135\nvalue = [[0, 135]\n[135, 0]]", fillcolor="#e58139"] ; 24 -> 25 ; -26 [label="gini = 0.0\nsamples = 135\nvalue = [[0, 135]\n[135, 0]]", fillcolor="#e58139"] ; +26 [label="gini = 0.0\nsamples = 1\nvalue = [[1, 0]\n[0, 1]]", fillcolor="#e58139"] ; 24 -> 26 ; } \ No newline at end of file diff --git a/doc/pub/week44/ipynb/Datafiles/ride.dot b/doc/pub/week44/ipynb/Datafiles/ride.dot index f440c3da1..9a0221269 100644 --- a/doc/pub/week44/ipynb/Datafiles/ride.dot +++ b/doc/pub/week44/ipynb/Datafiles/ride.dot @@ -1,7 +1,7 @@ digraph Tree { node [shape=box, style="filled, rounded", color="black", fontname=helvetica] ; edge [fontname=helvetica] ; -0 [label="X[7] <= 0.5\ngini = 0.48\nsamples = 15\nvalue = [4, 10, 1]", fillcolor="#93f1ba"] ; +0 [label="X[0] <= 0.5\ngini = 0.48\nsamples = 15\nvalue = [4, 10, 1]", fillcolor="#93f1ba"] ; 1 [label="X[1] <= 0.5\ngini = 0.408\nsamples = 14\nvalue = [4, 10, 0]", fillcolor="#88efb3"] ; 0 -> 1 [labeldistance=2.5, labelangle=45, headlabel="True"] ; 2 [label="gini = 0.48\nsamples = 10\nvalue = [4, 6, 0]", fillcolor="#bdf6d5"] ; diff --git a/doc/pub/week44/ipynb/week44.ipynb b/doc/pub/week44/ipynb/week44.ipynb index ed722846a..450314eab 100644 --- a/doc/pub/week44/ipynb/week44.ipynb +++ b/doc/pub/week44/ipynb/week44.ipynb @@ -136,10 +136,43 @@ { "cell_type": "code", "execution_count": 1, - "metadata": { - "collapsed": false - }, - "outputs": [], + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "2nd degree coefficients:\n", + "zero power: 5.90895452778858\n", + "first power: -0.19924745044768646\n", + "second power: 0.0007918792138462233\n" + ] + }, + { + "data": { + 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uAQMM2wqFQqHIRoUekJZSPpHPId9SNUShUCgeMIzdSg/TmINCoVAoCsHSLQclDgqFQvEAEh8fj729PXZ2dhYpX4mDQqFQPIAkJCRYrNUAShwUCoXigcSScZVAiYOiAnPlyhX69u1LixYtaNWqVbHmH/Tp04e83KT79OlDs2bN8PLyonnz5jz33HMlFg78fgkICMDFxQVvb2+8vb3p378/J0+eZM6cOabjxmB+igcXS0ZkhfIZPkOhKBFsbGxYsWIF7dq1IzExkfbt2zNgwABatmxZIuVv2LCBDh06kJaWxqJFixg+fDgHDhy473IzMjKwsbm/S7Nnz57897//zbGvQwfNnT0gIAAnJyfTpDrFg4nqVlIoiknt2rVNM5mdnZ1p0aKFKWR3nz59WLBgAZ06daJp06b88ccfgBaob/z48Xh5eTFu3Lg8ZxXfi52dHe+//z7h4eGcOXMGgO+//55OnTrh7e3NjBkzTLOwV69eTdOmTenTpw/Tpk3LsTjPvHnz6Nu3LwsWLOCff/5h8ODBtG/fnp49e3LhwgUAbt68yejRo+nYsSMdO3bMETq8IAICAnjssccIDQ1l1apVfPTRR3h7e5vOW/HgER8fr1oOigrA3LkQVLIhu/H2ho/NC+gXGhpKYGAgnTt3Nu3LyMjg+PHj7Ny5kzfeeIO9e/fyxRdfULlyZc6ePcvZs2dzhMkoCGtra9q2bcuFCxews7Nj06ZNHD58GFtbW2bNmsWGDRvo378/b731FqdPn8bZ2Zl+/frRtm1bUxkXL15k7969WFtb4+vry6pVq2jSpAnHjh1j1qxZ7Nu3j+eff54XXniBHj16EB4ezqBBg/jf//6Xy54//vjDFA587NixprAWHh4ePPvsszg5OfHSSy+ZdW6K8omlWw5KHBQVnqSkJEaPHs3HH3+c42IaNWoUAO3btzeFzz548KCpb97Ly6tI6xIYQ9H8/vvvnDp1io4dOwJaa6RGjRocP36c3r17myKkjh07losXL5ryjx07Fmtra5KSkjhy5Ahjx441Hbtz5w4Ae/fuzRESOyEhgcTERJydnXPYcm+3UkBAgNnnoXgwUC0HRcXAzCf8kiY9PZ3Ro0fz5JNPmsTAiDGEdvaw3GB+aO7sZGZm8tdff9GiRQtu3LjBpEmTePfdd3Ok+fnnnwssw9HREYCsrCxcXV0JyqOllZWVxdGjR3FwcCiyjYqKg5RSjTkoFMVFSsmUKVNo0aIF8+bNMytPr1692LBhAwDnzp3j7NmzheZJT09n0aJF1K9f37RU6JYtW0xrP8fExBAWFkanTp04cOAAsbGxZGRkmFaeu5cqVarg6elpCgsupTSNZQwcOJB///vfprR5CUhhZA+5rXgwuX37NllZWUocFIricPjwYb777jv27dtncuvcuXNngXlmzpxJUlISXl5evP/++3Tq1CnftE8++SReXl60bt2a5ORktm3bBmhrMixdupSBAwfi5eXFgAEDiIyMpG7duixevJjOnTvTv39/WrZsmW+3wIYNG1i9ejVt27alVatWprI/+eQTTp48iZeXFy1btmTVqlVF/lyGDh3Kzz//rAakH2BiY2MBcHV1tVgdZR6yuyRQIbvLJypMc26SkpJwcnIiIyODkSNH8swzzzBy5MiyNsviqN9CyfLXX3/h5eXF5s2bc4xNFZVyG7JboXjY8PPzw9vbm9atW+Pp6cmIEWqJdEXRMbYc3NzcLFaHGpBWKEqR5cuXl7UJigqAURzMXRu8OKiWg0KhUDxglEbLQYmDQqFQPGAocVAoFApFLmJjYxFCKFdWhUKhUNwlNjYWV1dXrKwsdwtX4qCo0DzzzDPUqFGD1q1b59gfExPDgAEDaNKkCQMGDDA104OCgnLMhfDz8zNrENnDw4M2bdrQpk0bWrZsyauvvmoKeVHWrFu3Dnd3d9Ncj4kTJ7J9+3aWLVsGgL+/f46QHIryT0xMjEW7lECJQ4kipSRLZpW1GYpsTJ48mV9//TXX/mXLluHr68ulS5fw9fU13SjvFYeisH//fv766y+OHz+OXq9n+vTp92W7keyhPYrLuHHjCAoKIigoiG+//ZZhw4axcOFCQInDg0hsbKwShweJSf6TePynx8vaDEU2evXqlae737Zt25g0aRIAkyZNwt/fn7S0NF577TU2bdqEt7c3mzZtAuD8+fP06dMHnU7HJ598UmidTk5OrFq1Cn9/f2JiYgD44IMP6NixI15eXrz++uumtG+99RbNmzdnwIABPPHEE6ZWSp8+fVi8eDG9e/dm5cqVnDp1it69e9O+fXsGDRpEZGQkQL6hvQtj3bp1PPfccxw5coTt27fz8ssv4+3tzT///GNWfkXZUhrioOY5lCB/RvzJ7fTbZW1GuWTu3LnFigNUEN7e3nxczIB+UVFR1K5dG9DWfbhx4wZ2dna8+eabnDx50hS/yM/PjwsXLrB//34SExNp1qwZM2fOxNbWtsDyjfGRLl26RHx8PJcuXeL48eNIKRk2bBgHDx6kcuXKbN26lcDAQDIyMmjXrh3t27c3lREXF8eBAwdIT0+nd+/ebNu2DXd3dzZt2sQrr7zCmjVrmD59ep6hve9l06ZNHDp0CIDnn3/eFFywW7duDBs2jMcee4wxY8YU67NUlD6xsbHUr1/fonUocSghMrMyCYsPIy0zjdSMVOxt7MvaJEUJMWTIECpVqkSlSpWoUaMGUVFR1KtXr9B8xtA0u3fvZvfu3fj4+ABaCI1Lly6RmJjI8OHDTRFWhw4dmiP/uHHjAAgODubcuXMMGDAA0CLA1q5du8DQ3vcybty4HAH71q1bZ+bZK8ojquXwAHEt8RppmWkAhMWF0ax6szK2qHxR3Cd8S1GzZk0iIyOpXbs2kZGR1KhRI9+0xtDekDu8d34kJiYSGhpK06ZNkVKyaNEiZsyYkSPNRx99VGAZxhDeUkpatWrF0aNHcxxPSEjIN7S3ouIipVRjDg8S+lh9nu8V5ZNhw4axfv16ANavX8/w4cOBkglnnZSUxKxZsxgxYgRubm4MGjSINWvWkJSUBMDVq1e5ceMGPXr0YMeOHaSmppKUlMQvv/ySZ3nNmjXj5s2bJnFIT0/n77//LjC0d1FQIbwfLG7fvk16eroShwcFJQ7lkyeeeIKuXbsSHBxMvXr1WL16NQALFy5kz549NGnShD179pg8d/r27cv58+dzDEibS9++fWndujWdOnWiQYMGfPnll4C2BsOECRPo2rUrbdq0YcyYMSQmJtKxY0eGDRtG27ZtGTVqFB06dMgzhLednR1btmxhwYIFtG3bFm9vb44cOQLkH9q7KIwfP54PPvgAHx8fNSD9AFAas6MB7WnjQX+1b99eljWv/v6qtHrDSjosdZDzfp1X1uaUC86fP1/WJpR7EhMTpZRSJicny/bt28tTp06VsUWWQf0WSo6zZ89KQG7evPm+ywJOynzuq2rMoYTQx+lp4NIAR1tH9HGq5aAwj+nTp3P+/HlSU1OZNGkS7dq1K2uTFOWc0mo5KHEoIfSxenRuOk0cVLeSwkx++OGHsjZB8YARHR0NWDZcN6gxB7h48b6yx6TE0PzfzTl+9Tg6Vx06Nx36WL3JjfFhR30OCvUbKFlu3boFwKz9s9gfst9i9Tzc4rBvH7RoAZs3F7uIoOtBBEcHM7L5SGZ3no3OTUdSWhK3bt8qQUMfTOzt7YmOjlY3h4cYKSXR0dHY26t5PyWFURyOxR7jt39+s1g9D3e3Uq9e0L49zJqlva9Vq8hFGLuQVgxcQUPXhoTHh5v2uzu6l6i5Dxr16tUjIiKCmzdvlrUpijLE3t7erEmDCvO4efMm9pXtSbVNtWgX9sMtDjY2sH49+PjAjBng7w+GsALmoo/VY2NlQ70q2o9f56Yz7e9cr3OJm/wgYWtri6enZ1mboVBUKG7dukVll8qkkkrW+b8hJQUMs+xLkoe7Wwm0bqV33oHt2+Hbb4ucXR+rx8PVA2srawA8XD1M+xUKhaKkuXXrFrZOtlRJhY8/+h+MH2+RepQ4ADz/PPTsCXPmwJUrRcpq9FIyUtm2MrWdaitxUCgUFuHmzZvIypKPf4XaCZKEec9ZpB4lDgDW1rBuHWRmwjPPQBEGUPWxenSuuhz7dG46NddBoVBYhFu3blH1dhJPB8G7PeBy02oWqafcioMQIlQI8ZcQIkgIcdLiFep0sGIF7N0Lq1aZlSU+NZ7olOgcLQfA5M6qUCgUJc2tmzfpHXKbSw2ceLO35bqwy604GOgrpfSWUnYoldqmT4eBA+Gll8CMGDMhcSEAeYrDlfgrpiitCoVCURKkpqSQlJxMnUzY98Zk0m0eXnEoXYSA1avB1hYmT9a6mfJh56WdPLPtGSBvcZBIfL/1pf+3/en/bX/e+eMdS1quUCgqOD/+9SM7XpkMwKHmUK/bYKo5VHsoxUECu4UQp4QQuRbjFUJMF0KcFEKcLFE/+nr14NNP4dAhKCDe/tqgtVyMvsjI5iNp6d4yx7F+nv0YoBuAlJLUjFQu3LrAiqMrSs5GhULx0PHjzveo85kWnn1vG+0hdGCjgdR0rGmR+kR5nb0qhKgjpbwmhKgB7AFmSykP5pW2Q4cO8uTJEhyWkBJGj4ZffoHjx6Ft21xJ2n/VnpqONdn5ZOGL0S8/spyX97xM7IJYXO1dS85OhULxcJCVxcFm9sSFpjM8A3gabn95Gwfb+5vfIIQ4lV+3fbltOUgprxn+3wB+BjqVWuVCwFdfQbVqMGGCNsnkHu51YS0IY7qQ2JASNVOhUDwcpH74Pr0up/Oxl7bt7u5+38JQGOVSHIQQjkIIZ+N7YCBwrlSNqF5dc289fx7mz89xKDYllrjUuCKLg/JgUigURebMGexeeY1tzWC/YTVbXV3z7j33Q7kUB6AmcEgIcQY4Dvwipfy11K0YOBDmzoV//xt23u0+Mt7kzRUHT1fPHPkUCoXCLFJSYMIE0qo4MnUYcBsQ0KRuE4tXXS7FQUqpl1K2NbxaSSnfLjNj3n0X2rSBp5+GGzeAoouDi72LRb0KFApFBeWll+D8ef77yuPccgSSAEdoXK2xxasul+JQrrC3hx9+gPh40+xp403e2CIwBzVrWqFQFIkdO+Dzz2HePPY3scHN3o3KqZXByfwH0/tBiYM5tG4N77+veS998YUWjruyO86VnM0uQs2aVigUZhMZqT2MenvDO++gj9McYKxvW4MzeLpZPtqxEgczSXl2Kpc6NSL9hTmEHN1Z5C9H56YjNC6UzKz8J9YpFAoFWVnaJNzkZK3XolIlk3dkZkKmajmUN34P3UfPnv8QZ5PJ8nXXGNpgQJHy69x0ZGRlEJEQYSELFQpFhWDlSti9Gz78EFq0IDMrk9C4UDyqeJAan0qDug2o5VT0hcmKihIHM9HH6olyBrt13+EVmcWrO+KLlF+5syoUikI5cwYWLoThw7UFyIBriddIy0yjhlUNsjKzmD94PlbC8rduJQ5moo/V42TnRJUxT8ILL2jurf/5j9n5lTgoFIoCSUyExx/XJt9+841pVUrjPcM5TRvjrFWM5YyLgxIHMzH2+QkhYNky6NBBGzAKMW/Wc70q9bCxslHioFAociMlzJwJly9r4wzVq5sOGaM/2922A6B27dqlYpISBzPJES7Dzg42bdK+0PHjIa3w0Nw2VjY0dGmo3FkVCkVu1qyBDRvAzw/69MlxSB+rx1pYk5WYBShxKFdIw9yGHCu+6XRa0+/4cXjlFbPKUe6sCoUiF+fOwezZ4OsLixfnOqyP1VPfpT43orRJuKpbqRwRlRxFSkZKbvexsWO1puDy5TnCa+SHEgeFQpGDpCTtPlKlitZysLbOlcTYaxEZGYmLiwsODpYNuGdEiYMZmGZE5zW34cMPwcsLJk6EiILdVHVuOm7dvkXCnQRLmKlQKB40/vUvCA7Wxhlq5r0ug7HX4vr166XWpQRKHPLlUPgh0jLTCI0LZcPZDUA+E0/s7WHzZkhN1cJ7Z2TkW2b20N3/xPxDWFxYjuPnbpzjRvKNkjsJhaICkJSWxLGIYwCcuHqCxDuJ+aaNT43n1LVTAPwZ8Se302+Xio3FYt06+PZbeO016Ncvx6HrSdf59sy3rAlcQ1RyFDo3HREREdSpUzmDzHMAACAASURBVKfUzFPikAchsSH0XNuT789+z5xdc/j85Oe4VHLBw9Uj7wzNmsGqVfDHH/Dqq/mWm92d9amfn2Lqjqk5jg/4bgCv7ss/v0LxMPLFiS/ovqY7V+Kv0G1NNz459km+aT/68yO6renGlfgrdF/Tna9OfVWKlhaB8+e1VkPfvrBkSa7DfgF+TPKfxJTtUwDwruVNeHg4DRs2LDUTbUqtpgeIi9EXAQi+FczF6Is80vgRfhz9I/Y29vln+r//05YWfe896NIFRozIlSR76O4Lty7gZOdkOhaXGsf1pOsERweX7MkoFA84F25dIFNmsle/l4ysjAKvkQu3LpCWmcZe/V6yZBbBt4p+PSUnJ7N161Z27dqFXq/Hzs6OFi1aMHLkSAYPHqy5s98PiYkwZgw4OeU7znAx+iLta7fnp7E/UcmmEtUrVefatWs0aNDg/uouAqrlkAfGMYbLsZcJiQuhdY3WuNi7FJ5x5Uro2BEmTYJLl3IddnNww9XeldPXTxObGktEQgR3Mu4Ad1eJUwPWCkVOjO7fe0P2atsFXCPGY6a0RXAdl1KyevVqGjVqxKRJkzh48CAuLi5YW1uzceNGHn30Udq3b8+pU6eKeyqa+/uUKdo4w8aNkM8Ygj5WT/PqzfF086SOcx2uXr2KlLJUWw5KHPLA+AM7HH6YtMw084NcVaoEW7aArS2MGqUFzroHnZuO3/W/AyCRhMWH5ajzasJVUjNSS+AsFIqKgfHaMF435oiDOWmzk5yczJgxY5g6dSpNmjQhICCAiIgIdu/eTUBAANHR0axfv56oqCi6dOnCN998U7yT+fBD+OknbSJt3755JknLTONKwpUc952wMO0+oVoOZYzxaSMqOQooYgTEBg00z4O//9Zio0iZ47DOTWcqF+7+eI3/JTLXQLVC8bCSlpnGlfgrwN3rMTIpMs+B5oQ7CUSnROdIa04k5JiYGPr06YO/vz/Lly/nwIED9O7dO0f3ka2tLRMnTuSvv/6if//+TJs2jRUrVhTtZAICYMEC7cHxpZfyTRYeH06WzMpx3wkPDweUOJQ59z5tFDk87sCB8OabWn/i55/nLMs1Z1n3ikNe9SsUDythcWFIZK79oXGhufYZu2azU1gk5ISEBAYNGsTZs2fx9/fnxRdfxMoq/9ti1apV2b59O48//jgvvfQS69evN+9Erl6FceOgcWNYu9YUNykvjOeRV8uhfv365tVXAihxuAfjbOi6znUBsBJWNHAphlovXgyPPaYF6fvzT9Nu4xfuZu+Gg43DXXGIu1unEgeFQsN4LRivjYKukaKkBcjIyGD8+PEEBgayZcsWhg4dapZNtra2fPfdd/j6+jJ9+nROnDhRcIa0NG2iW3KyFqyzSpUCk+e1DHF4eDg1a9bE3r4Ap5gSRonDPcSkxJBwJ4H+uv4A1K9SHztru6IXZGWl+TDXr695JhjWnzZ+4Y2rNsbD1SNHy6Fb/W7Y29grcVAoDBivBeP1aPxfkDiYkxZgyZIl7Nq1i88++8xsYTBiZ2fHpk2bqF27NmPGjCE+voAQ/i++CEePavGTWrYstGx9rB47azvqON+d0xAWFlaqXUqgxMFEcloyt9Nvm35Ivp6+wH2uuOTmBlu3QkyMJhBpdwe3dW46UzgN42Iejdwa4enqWaiHxc3km0iZu6mtUFQkbt2+xfFrx6lkXYnu9bsD0LluZxxtHTl+9Tg3k2+a0t5IvsHJyJO42bvRrnY7AHo37I21sM5THPbt28d7773HtGnTmGFYN6GoVKtWjU2bNhEREcHcuXOJvh1NlswiNSP1bhSE77/XwvvPm6eF44Ycdt/LtcRrBEUF4enqmWPNhtKe4wBKHEyM/Wksk/wnmX5I3rW8qVelHi3dC1f6AvH2htWrtQlyzz9PA5cGONo60tK9pUkcIhIiyMjKyCEY+REaF0qdD+uw+5/d92eXQlHO6b6mO+uC1tG0WlNa12gNQKsarWhevTkb/tpAp286mdK2+7IdG89tpFn1ZqZrtk3NNjR0zR0JOTo6mokTJ9K0aVM++uij+7Kxc+fOLFq0iHXr1lHvX/X49sy3LNizgF5re8GJEzBtGvTurc1/Avbq91J7Re08r/E7GXdo9u9m7P5nN82qNzPtz8rKIiwsTIlDWXE68jSBkYGm2Omebp4cmHyApf2W3n/hTzyhre60ahW2X6/m1PRTvNj1RXRuOhLTEjl57SRwtzUREhuSb8vg3I1zZGRlEHg98P7tUijKKakZqVyMvshTXk/x87if6Vq/K6emn6Jng578NPYnJntPJjQulKS0JGJTYrmaeJWpPlP5cfSP+Hr6cmr6KTrU6ZDrYUtKyYwZM7hx4wY//PADjo6O923rkiVLqO9Zn9QdqZwMP8np66e5+c9Z5IgRWrykn34CG22+cWBkIJkyk7+i/spVjvF8Xuz6IquGrDLtv3LlCqmpqTRt2vS+bS0KZouDEKKhEKK/4b2DEMLZcmaVLslpyUQlRxEWH8al6EvUcKyBk50TOjcdrvauJVPJ0qUwZAjMnk2zv6/jaOdo6mLaq9cm7BjFITEt0eSSdy95eTcpFBUNozfSoEaDaFS1EQDtardDCIGnmyePNH4E0Dx7jNfCkKZD8HD1QAhh6lrSueYUh+3bt7N161befPNN2rVrVyK2VqpUiSdffhKiYd/mfVy98Q9bf5TI+DjYvh3c3U1pC7p+jftGNh9Jbee7k+MuXtQiNpS2OJgVPkMIMQ2YDlQFGgH1gFWAr+VMKz0WvLYAjkMGGfgf98fRzpH33nsPKysrhBBYWVkV+N7KygoHBwccHR1xcnLC0dERZ2dn3N3dqV69OtbW1toU+Q0boHNnbfzh5Mm74hCyF2thTX2X+jniL1WvXD2XrUocFA8DeXnsZCf7dZKWmZZvWmMk5MQ7iVhlWDFnzhzatGnDiy++WKL2unm5QRO4sOUCHwVKulyFM5+9RFsvrxzpjF1cBYnDvedRrsUB+BfQCTgGIKW8JISoYTGrSpnP3/8coyt1jOFv4X8WlkjZVlZWuLu7U7NmTerUqUOTTp1o9tNPNO3Xj0Y7twFwOeYyOjcdNlY2OX70nep2ylWesdtLiYOiIlMccTDGLssrXUhcCD989APh4eH88ccf2Nralry9g8Hq35Kz5+G1PlC3Ux3a5pWOvMN66GP12NvYU8sp52I+Fy9exMnJqVTDdYP54nBHSplmnDEohLCBPGamPKAsP7ScF397UTsjCQu7L2RJryVIKcnKyiIrK8v0Pq99mZmZpKSkkJycTFJSEsnJySQmJnLjxg2uX79OVFQU169fJyIigkOHDpGUmgp6PTRvg5WbFVl1s7Bpa8P58+fxaOQB5H/zN+4Pjw8nPTMdW+uS/ZErFOUBfayeyraVqeGY9zOom70bVSpVMYlD9crVca6Uu6fbKA4HThxgxYoVPP300/To0cMi9g6KgeYSPgWyWsH8e67hzKxMU/SDPFsOcdnWqc/GxYsXadq06f0H/Csi5orDASHEYsBBCDEAmAXssJxZpUtofChO9k6kZqSSkZVB05pNqVy5skXqklISGRlJ8BtvEPjVV/zgUIlT4SlcPHeRVhta4enpiUMdBw5ZHSKzW6bWJZUtrz5Wj5u9G7GpsbnirygUFQXj6mf53RCFENpgc5y+wPhnxv1fvPMFjo5ad7ElkBcusGkrnHKHlXFge8iWkN45Z2xfTbxKelY6rvauhMaFkiWzcrirhsSG5HkeFy9epFOn3L0IlsbcAemFwE3gL2AGsBOoMAsP6GP1NHJrREMXzVXMkjdcIQR16tSh76pVzJs0iZPXUpjQHxZuWciqVato3bo1d07cYddru9DpdPj5+Zmmzt9IvsHt9Nv08+xnsluhqIgYxaEgjJ5IBaV1c3DD8aoj/zv6P1555RXcsw0OlxQZN6P4fNUVsLXj6SfBppsN6WfT+fvc3znSGa/Xfp79SM1I5XrSddOxPNepB+7cuUNoaGipjzeA+eLgAKyRUo6VUo4B1hj2VQhC4kJMnkJgWXEwIQR89RUh3g1Zsw0GJjswY8YMtm/fzth1Y6k+sTrNmzfnzTffxNPTkyGPDWHrb1uBuzM/L8dcJktmkSWz1KQ4RYXBeKPMawwhOzpXHZeiLxEaF5rrpmokKysLuVtiX82e2bNnl7itWSm3SR/2GPXjYc+H/+KKq6DxY42xc7Dj0tacYftNM7g9c8/cjk6JJjEtMde95/Lly2RlZZVrcfidnGLgAOwteXNKH5Niu+loXLUxlawr5Zi2blHs7Di2cj6hrtBz7odw+TIATWs1JaZRDDt27iAkJIRmo5qxc99O/jXmX7AGKl+rTCXrSsz8ZSbWb1pj/aY1VZZVUdFcFRWCm7dvkpyeXOhDWqOqjciUmWTJLJO7671s3ryZ22G3cX3UlZj0GOp9WI8z18+UiJ2zf3mOjZ0ccfjzJJNGQjXfodR3qU+zes3oM6EP6X+nE3AkwJReH6vHWljT26O3aXvJviWM2zIu3wH4wEBtPpO3t3eJ2FwUzB1zsJdSJhk3pJRJQgjLdMqXMulZ6bzR5w061e2Ep6snw5oNw9oq98pMlmJ416f5dd1tmk5eps2DOHoUnZuOLJlFeHw4jRs25kanG3Ts15HqwdU58uMRJg2fRPs+7en6dFfcG7pzI/kGn534jNORp2noWrqzKBWKkqYwTyUj41uPJz5Vi2k0puWYXMczMjJ49dVXcde5E904muNXj3M18SqHrxymba17/YiKTqvPNjPhHPw+zZcuTw+hZ8OefD/ye6pXrs5J3Ul2f78bvzf9CPg1wHReDV0b0sitEQKBPlbPHv0eLty6wMjmI/M858DAQOzt7WnWrNm91Vscc1sOyUII04wRIUR7IMUyJpUudtZ2zO8+nz4efWjo2pDBjQeXav0Otg6MfOwlhL8/hIbCqFE0ctTC8upj9cSnxhOTEsPYtmPZuXIn10KvsWzZMi4HXmbVlFWk/JrCwk6a263RzVWheJAxVxxc7V1Z0GMBC3osoEql3JFON23axD///MPoWaNJl+kcDj+co/z7Qa5bx7O7bvLnoNb4frmHF7q+gI2VDT0b9qSFewvaNGgDXeHAbwdMT//GHopKNpWoV6Ue+lg9IXEhxN+J59Q1bXU5T7ecXWmBgYF4eXlhY1P6KzqbKw5zgZ+EEH8IIf4ANgHPWc6sh5AePbQ47wcO0O71VSAx/Xjg7oVSuXJlFixYwKVLl/i///s/li1bRo8OPXC65qQGqBUVAuPv2MPVo9hlZGVl8c4779C6dWuGDxsO3F069L4fovbvh+nT2esJp5ZMyXNtBk9XT+gMDk4OvPHGGwA5Bpx1bjrORp3lRvINk221nGpR2fZuh4yUksDAQHx8fO7P3mJiljhIKU8AzYGZaG6sLaSU97GQqiJPJkyAN97A8cctLD1gZfLEgNxPUe7u7qxdu5aDBw9iY2ND0tdJ7Fq1i7S0tLKwXKEoMfSxemo71c5xoywq27Zt4/z58yxevJjG1RoDEHQ9yFR+sblwAUaNIsWjHmMeBw/3Jnkmc7F3oZpbNVoNb8W2bds4dOwQN2/fzOH0cibq7thH0PWgXNd4aGgocXFx5VscDHQEvAAf4AkhxETLmPSQs2QJPPMMrwRk0Xjz3kKb2D179iQoKAiPvh7od+jp0qULFy5cKEWDFYqSxRw31oKQUvL222/TuHFjHn/8cRq4NMgxn0Afqy+ed9/VqzBoENjZsXvlHOIdCu760rnpcOrphKurK6+98ZppX/b/96bPzunTpwHKtzgIIb4DlgM90ESiI9DBgnY9vAgBX37JMR93pq4OpMove6nqUBUXe5d8szg5OTF24VhsJthw5coVOnbsyLZt20rRaIWi5Lhfcdi9ezenTp1i4cKFWFtbY2dtR/0q2jieg40DCXcSiEmJKVqhsbEweLD2/9df+atyIlBw15fOTceVO1d44YUX2L9rP0TmLQ4ONpoj6L3uuAcPHsTBwYG2be9/8Lw4mNty6AB0l1LOklLONrzmWNIwIcRgIUSwEOKyEKJkAh09KNjYsPHVkZysZ83kD/Yw+mbhE3d0bjoymmaw8+BOWrRowYgRI3jjjTfIysoqBYMVipLhTsYdIhIi7kscli5dSv369XnqqadM+4zl9WzYEyhi11JKCgwfDsHB4O8PPj7o4/TUca6Dg23+0710bjrC4sOY9dwsHJwd4EBucXCp5EKbmm1y7DOyb98+evToQaVKlcy3tQQxVxzOAbUKTVVCCCGsgc+AR4CWaN1Y97nqzoNF/drNeOSJTMJc4aPP9fBX7vjv2TH+sFIqp3Dw4EEmTpyIn58fo0ePJikpqcC8CkV5ISw+DIkstjgcPHiQQ4cO8fLLL2Nnd3d5X2N5eU1AK5CMDG0s8NAhbVW3fnejE5gzgzsjK4MkqyRaD2sNFyAsOCyHPTo3HY3cGuXYBxAVFcW5c+foZ6ivLDBXHKoD54UQvwkhthtfFrSrE3BZSqmXUqYBG4HhFqyv3KFz0xFTGfo/mUWGQyV45BEIDy8wPRgiO9rbs27dOj7++GO2b9+Or68vt27dKi3TFYpisT14O49ueBQofpSCt99+mxo1ajB16tQc+43l+eq0VQb0sXp2XtrJjB0zSM1Ipf+3/Wn9eWvT67EfHiMjM519j7QAf39OL5xEm+i3TMf/jPjTLHEA8P3WlwuNLmDtYG3yXHKv7I6jrWO+kRkCAgIAylQczHWe9bOkEXlQF7iSbTsC6Jw9gRBiOtoaE6W+8HZp0MejDxPbTiQ1I5Wo4Y/jMmKK1ud58CBUz73Og3HQzfhEJITg+eefx8PDg/Hjx9OjRw92795dIT8rRcXgP//7D1HJUUz1mUqHOkUf0jxx4gS7d+/mvffew8EhZ3fPE62fIDktGe9a3tRwrIE+Vk9wdDDrz6znqbZP8XvI73Sv351aTrW4knCFXy79wrUXZ9Bv72V2j+/I1z5JXPnniil0TQv3FkxrN61Ae7rU68Iz3s8QfyceaoF4WrDl8y0cPXqUrl278sGAD2jp3pJaTrWwsbLJEZnh119/pUqVKiW2IFGxkFKWuxcwFvgm2/ZTwKf5pW/fvr2s8AQESGlvL2W7dlLGxeWZpOFHDeWTW5/Mtf/gwYPSxcVF1q1bV547d87SlioUxaLnmp6y99rexc4/YsQI6ebmJhMSEgpM1+WbLrLf+n6y55qeEj+k334/iR8yMDJQSinlPv0+OXswUoL82gc5dMNjst2X7eQj3z9SbNuklDIpKUnWrl1bdu7cWWZmZuabLjk5WTo7O8unn376vuozB+CkzOe+aq63UhchxAkhRJIQIk0IkSmESLCYYmkthfrZtusB1yxYX/mnd2/YsgXOntXCbCQn50py73q5Rnr27MnBgwfJysqiV69eBAUFlYbFCkWRuB8vpXPnzuHv78+cOXNwdi54BePs0Vzh7uQ4Y6A/rx3H+eRXCGhfjWcfA31cyH17UAE4OjryzjvvcOzYMdasWZNvum3btpGYmMjEiWU7W8DcMYd/A08Al9CC7k017LMUJ4AmQghPIYQdMB6w5BjHg8GQIfDDD3D0KIwcCampOQ7nJw4AXl5eHDp0CEdHR3x9fTlzpmSCjykUJUFqRipXE68WGok1P959912cnJyYM6dwJ0qdq47w+HCuJl4F4M+IP6nmUE1zF//xR6rOXcSuJoJHh8SRaQ3B0cHEpcaVSLTmiRMn0rt3b1566SUiIyPzTLN69WoaNGhAr1697ru++8HsSXBSysuAtZQyU0q5FuhjKaOklBlo4Tl+A/4HbJZS/l1wroeEsWNh9WrYswfGj4f0dNMhnZuOqOQoktNytyoAdDod+/fvp3Llyvj6+nL27NnSslqhKJDQuFCgeAPRly9fZuPGjcycOZOqVasWmt4Y2NJIRlaGVu+2bfDUU4jevXl5hicpVpmm48W17V6srKz4+uuvSUtLY/z48aRnu35Bm6Px+++/89xzz2FlVZQ5yiWPubXfNjzBBwkh3hdCvAA4WtAupJQ7pZRNpZSNpJRvW7KuB47Jk+HTT7Uf8+TJkKn9iLOvl5sfjRo1IiAgAHt7e3x9ffmrEBdZhaI0MDfYXl4sW7YMW1tb5s2bZ1b67HVYCy0C84jwyvD449ChA2zfTt2ajXMcL65tedGkSRO++eYbDh48yJQpU0wCERcXx9y5c9HpdGa1gCyNueLwlCHtc0Ay2njAKEsZpTCD556Dd97RuplmzoSsrBzurAVhFAg7OzsGDhyIXq8C9inKluKKw5UrV/j222+ZOnUqtWqZNxUrex2d63WmRxi89MFhaNECdu0CZ2fTbOXO9e46SRa3yysvJkyYwFtvvcV3331Ht27dWLp0KT169ODy5ct88cUXZTbxLTvmisMIKWWqlDJBSvmGlHIe8JglDVOYwaJFsHgxfP01/Otf6Fw8APMm+DRu3Jg9e/aQlpbGwIEDuX79eqF5FApLoY/VU9m2MjUcaxQp3wcffICUkvnz55udp45zHeys7ahsW5nxcfXZuQFu164Ou3eDmxtwV0D6eWjzDNwru+NcqeCB7qLy6quvsmHDBuLj41myZAnJycns3LmTgQMHlmg9xcVccZiUx77JJWiHorgsXQoLF8KqVVR7cQlVbJz4+vTXfHnyS26n32bmf2fy1M9PERgZmCtry5Yt+eWXX4iMjGTw4MHEx8eXwQkoFHc9lUQe4a/zIyoqiq+//pqnnnqqSPN3rK2s8XD1YHR0TWYs8eeaM5z74WOocVeYjOLQ0r0ldZ3rWmzp4AkTJhAcHExcXBwhISH079/fIvUUhwInwQkhngAmAJ73zIiuAkRb0jCFmQihdS8JgXj3Xf47uCXDe13llX2v0KhqI1adWgWAayVXPq39aa7sXbp0YevWrQwdOpRhw4bx22+/YW9vX9pnoXjIKY6r6EcffURaWhoLFxY99Nqr9GbcF+uhbj1en12XL31yLvLVo0EP+nn2o1fDXkzxmYK7Y+HxzYqLEAIXl/wDa5YZ+U2A0OZH0BDNK+ko0Dvbqx1gU1De0nw9FJPgCiMrS8pFi6QEGTiskxSvIT84/IHED+m2zE0O2TCkwOw//PCDBOT48eMLnKCjUJQ0WVlZ0vFtRzl311yz88TExEhnZ2c5fvz4old44ICUjo5SNm8u5bVrRc9fgaCASXAFthyklGFAmBCiP5AipcwSQjRFW/hHubmUJ4SAt98GIfB+5x2+uArbGu/F1sqWng17cin6UoHZn3jiCcLCwli0aBGNGzfmrbfeKiXDFQ87N2/fJDk9uUgth08//ZTExEQWL15ctMoOHNDmC9Wvr63oZuYg9sOIuWMOBwF7IURd4HfgaWCdpYxSFBMhYOlSImc/zYxTMG7lXnRVGtKkahNC4kJy+HbnxYIFC5gyZQpLly5l/fr1pWS04mGnqJ5KiYmJrFy5kmHDhtGmTRvzKwoIgEcfhQYNtPdKGArEXHEQUsrbaO6rn0opR6KF0laUN4TAftly3uwFk05l8uWPSTR2akBqRirXkwr2SBJC8MUXX9CvXz+mTZtmigypUFiSoorDqlWriImJ4ZVXXjG/kv/+Vwtc6emptRhq1iyOqQ8VZouDEKIr8CTwi2GfuRFdFaWMW+WqfPSoKy8NgN7HrjNq8ffYp5vn4mpra8uWLVto1KgRo0aNIjg4uBQsVjzMGH+XBa2qZiQlJYUVK1bQv39/OnXqZF4FP/6ohZtp00brVlLCYBbmisNcYBHws5TybyGEDthvObMU94vOTceK7rB7/mjcD55k1/dw5Yp5EUjc3Nz45ZdfsLGxYciQIcTEFHFJRYWiCOhjC19VzciaNWuIiooyv9Xw5Zfw5JPQvTv8/jtUq3af1j48mCUOUsoDUsphUsr3DNt6aeFlQhX3h7GJnjR5AhnfrqP7Feg15U2INs8DWafTsW3bNq5cucK4cePIyMiwpLmKhxhz3VjT0tJ4//336datG7179y684Pffh2ef1Qagd+2CKlVKwNqHhwLFQQjxseH/juwrwJXCSnCK+8Q4/V/npsP2/yYy/enquOuva6G/r14tMO+h8EO8d+g9EtwT+OKLL9i7dy8LFiwoDbMVDwkJdxLwv+APmC8O3333HeHh4bz66qsFT5aTEl55BRYs0IJT/uc/4FB4q0SRk8LGDb4z/F9uaUMUJUuvhr3Y9PcmmlRtAkBIj1a8WPUWn64Kh65dtSepVq3yzDt1+1SCo4NxtXclZn4MQUFBfPjhh7Rt27bMY8wrKgarT69m3u55XJp9iYiECNPDTH6kp6fz9ttv07FjRwYPHlxQQpgxA9auhenT4fPPwdo6//SKfCmw5SClPGX4fwA4D5w3dDEdMOxTlFOGNB1C6NxQHO204Lk6Nx1ba8Zoy4ymp0OPHtrg3D1kZmUSEhdCJetKxKXGEZsay4oVK+jbty/Tp0/nxIkTpX0qigrI5ZjLAPyu/x2JLLTlsGHDBkJCQnjttdfybzUkJcGwYZowvP46rFqlhOE+KKxbSQgh/IQQt4ALwEUhxE0hxGulY56ipNC56YhMiuR2q6bw55+aj/fAgbB5c4501xKvkZaZlmMhdltbWzZv3kytWrUYOXKkCtKnuG/0cTlXYStIHDIyMnj77bfx8fFhyJAheSe6bugy3bNHC0Tp56fN+1EUm8IGpOcC3YGOUspqUko3oDPQ3bCmg+IBwXjxhcaFQsOGcPgwdOwI48bBRx+Z0hndCvt79s+xXb16dfz9/YmJiWH06NHcuXOndE9AUaEw/q72hewDChaHjRs3cvny5fxbDcHBWlfphQuwfTtMnWoRmx82ChOHicATUkrT6jFSSj3wf4ZjigcE00JAsYavsmpV7Slr1CiYNw/mzoXMTNNFm73lYMTb25t169Zx5MgRZs+ebYy/pVAUicysTNPKbzEpMdjb2FPLKe/ZypmZmSxdhYvcrAAAIABJREFUuhQvLy+GDRuWO8GhQ9Ctm7amunEGtKJEKGxA2lZKeevenVLKm0IIWwvZpLAAeS4E5OCgdSvNmwcrV8KlS1x9thXWwpoW1VtQw7FGrolzjz/+OEFBQbz77rv4+Pgwc+bM0jwNRQXA2HVpxNPVM99xhJ9++ong4GB++umn3MtmrlunDTp7eGgOFo0aWc7oh5DCWg5pxTymKGe4V3bH0dYx9yxpa2tNGL74An77jcmzvqJ7em1srW3RuenynFX91ltv8eijjzJnzhz++OOPUjoDRUXh3nAZ+XUpZWRk4OfnR6tWrRg1KtvCk5mZ8PLL8PTT0KuXNoamhKHEKUwc2gohEvJ4JQJFiHilKGuEENrNPi6fEBrPPgu7d1MlJontH0fBwYP5ioO1tTUbNmzA09OTMWPGEBERYWHrFRWJe8e18hOH9evXExwczNKlS++2GhISYMQIWL4cZs3SWgxVq5aK3Q8bhYXsVn5gFQidm45/Yv/Jse9m8k1OXjtJ3Sp18erXj4HPueC/IROX/v0ZM2cgm6qEk56ZztXEq1SvXB2B4FD4IZzsnPD396dLly6MHDmSP/7446FaJOha4jXOXD9j2raztqNXw14kpiVyJ+MOtZxqcSj8ECkZKfRs0BMHWwfSM9M5GHYQIQS9GvYi+nY0pyNPA1ClUhW61e9WpJXQHlT0sXqshTW9PXrz1emv8hSHlJQU/Pz86Ny5M8OHD9d2hoTA0KHawPNnn2nioLAYKnjeQ4TOTcce/R6klKab0Kyds9hyfgu2VrZceeEKxyrH8OPXr/1/e2ceHlWR9u27su8b2ReSdMIeBGQVUUQwgIMijgI68qIfI/gyjjrjArzouDDAyODKiKAoKA4KXgiCMjiKgiCRVdZACDQJJCSBQCdkX+v743Q3nQ0S6KQ7Sd3X1Vd31zldPHVOqN+pqqeeh7+8lcS4N77l7f5wZupJBq3UMmJ5OHvw8taXAdg3dR8rV67kvvvuY9q0aaxYsaJddG4AD699mG3pNfeJLB+7nO9OfUfqxVTeHf0ut6+4HYDXR7zOC7e+wOqjq5m0bhIAax5Yw4qDK9iUusn8+72P76VveN+Wa4SN0Ofp6ejbkZvDbkYg6BXSq845ixcvJiMjg5UrV2p/U99/Dw89BNXV8N13MHy4DSxvXzQ28J6iDaDz11FcUcz5ovPmsmMXjgFQUV3BltNbAIjo2AM2beLsH8fz5B7wGXkvrlm5HL1wlGO5x8y/PZ57nLFjx/LKK6/w6aef8u6777Zsg2zIsdxjjOs6jl+n/ErSlCScHZw5nnucI+ePcPTCUZIvJJvPPZ57XPvNhZrX7tiFY4yKH8WXD35Z47y2jilcRtfArpz9y1mGxQ6rcTw/P5/58+czcuRI7rj9di0N7siREBYGu3YpYWghlDi0I2p7LEkp0Rv03NbxNgB+0FtsSHJygoULeeBB8DqRxr4PIHDXYfQGPUM6DqlRz0svvcR9993Hs88+y48//tjSzWpxCssLOV90ngERAxgYOZBBkYOI8YvhlOEUeoOe0spSdp7diZODEwMjBpqvkz5P6xTDvcNJuZjCmfwz9A3ry5jOY7TjjQip3hY4bThNrF8sABE+EXWOv/HGG1y8eJF5s2Zp6wuzZ2ujhl9/hU6dWtrcdosSh3ZEbXHIKcqhpLKEETptYbCGOADh3uFsvMmFu5/uwCV3WPZuOqPXHaFHYHfCvcPN9Tg4OPDpp5/SpUsXxo8fT1paWgu3rGUx7RWxnCvX+ev4NeNXiiuKAe1aRvtG07lD5yviYHxi1vnr2Ja+jSpZhc5fh5uTGxHeEQ07C7QhisqLyCnKaXAROicnhzfffJPxiYncPGWKtuD87rvw2Wfg6dnC1rZvlDi0I0zJVCw7K4C+YX3xdfXl7OWz+Lj64O/mD4CjgyPRvtFsdc9hwOPwVTd4ZVMxz/5zB72co2o86Xp7e7N+/XoqKyu57777KC4ubtnGtSD1ZS7T+evIuHzFa+vs5bNmIci4nEFZZZkmDn66GudaunO2h5HD6by6wmrJSy++SFlpKXO2bYOSEi3+15//rEJh2AAlDu2I2k+ops4oLiCuRidluahszgvhCuMfhL+MhLikFFa+epjAvck16u/UqROff/45hw4dYsqUKW12B3VD4lAbkzhIJEcvHCW3OFcr86v7u/YiDldLCfrbzz+zbNky/lxVRechQ2D/fm33s8ImKHFoZ8T6x9YZOcT4xRDrr80B1/5Pa/oe7BkMAt6+BVI2rgB3N1YvvkDlS7PBIhHQ6NGjmTdvHl988QULF7bNSO96gx5fV1/zCAtqXrcgjyBA2/lrKt+i32I+z1Tm7OBMhHeEuTzzciallaUt0gZb0ZA4yF9+4enERDoAf/vb3+C//1XpPG2MEod2huUTqt6gJ8I7AjcntyvJgfzqF4dhMcMQaCOK0KG/47s181l5Ezj9fR4MGwZnzph/M2PGDB588EFmzpzJd9991xLNalFMC8v1jbDCvcPpFtTNXGYqt4w+aiqL8YvB0cHRXC6RpOelt1g7bIHeoMfH1YcAd+PGtaoqmDuXNbfdxvayMubOmIHfq69C7VAZihZH3YF2hs7vyhOqZQauhkIZmL53C+xGhE8Efm5++Lv70zGiO4+Ng53zpyMPHoSbboJPPwXjHorly5eTkJDAxIkTOXnyZL22GEoM5BTm1CmvrLbvlKT1ZS4zed9Ydv46fx2hXqG4ObnViD5a37WuN/ZVG8R07YQQcOoUDBvG5Rdf5Fk3N3olJDBl7lxbm6gwosShnWH5hHo677S5U+oS2AWAzh061zjf9L1zh8506dDF/D0+IB6AW8sWM+ft+zVxmDxZcz3MzsbT05P169fj4ODAfffdx+XLl2vUezjnMB0WdCD0jVCW7V9mLj9XcA6f+T5sS7PPXFLVspq0vLQ64uDr5kuoVyidA7Tr5CAc0PnrcBAOxAfEU1ldSQf3Dvi7+xPqFYq3i3eNa92exCHON1bL0HbTTXDwIC+OGMG50lKWLluGo0rOYzeoHdLtDFMndCz3GJmXM2tMG/3nD//hztg7a5yfEJzAfx/5L3fE3MGAiAHmp/pQr1C+eegbnv/+ef7LSf720zYtgN///Z+WfnTxYmInTGDNmjWMHDmSCRMmsHHjRpyctD+537J/Q6ItWO87t48/3qzF4D+Uc4iSyhJ2Ze5iaEwjksi3MNmF2ZRWlta7oLrp4U2EeoXi6eLJkI5D8HfX1iRWjlvJ7szdJAQnAFqcqx8n/0hH347m34Z4huDu5N6mxaFaVlOZpmf+siI4sA4SE9n95JP8a+xYpk+fzsCBA21tosICNXJoZ5g6tZ9O/1QjPaMQglHxo+oNf3FX3F04OzoTFxBnHmGAlop0UOQgrUNzdNRCfx84APHxWmL38eMZnpDAkiVL2Lx5M08++aTZg0lv0JtDJ1j699deLLc3THaZppEs6RPWhzDvMHxcfcwbBQF6h/Zmat+pDI664nnTL7yftshvRAihOQu01b0O1dVc/tcb7H23jJiUHFiyhIqNG5n60kuEh4czb948W1uoqIUSh3aGaQ68MekZG4M5/ahx8xddu2pZ5ubNg6+/hq5d+aOUzJwxg6VLl5o9mPQGPVG+UXQN7FpDCFqLONzodauPNuvOmpwMQ4fi99QL7AuHpG+XwrRpzJs/n4MHD7Jo0SJ8fHxsbaWiFkoc2hmm0N2m2D/WEAfAnNkL0EJvzJoFBw9Cr14wdSpzt29nwqhRvPDCC3z55Zc1dgun5aVRVV0FXNkkZa+dpGnEE+0XbfW6dX6aOLSZ/SElJfDSS9C7NyQn88srU7hzMoTdNJjdu3czZ84cJk2axLhx42xtqaIelDi0Q0wduruTOyGeN+ZLXif9qCVdu8JPP8Hy5TikpLDi++8ZHBHBpEmTOP7bcWL9Yon1i6WyutK8Y9gkCun56XbptWQa8bg4uli9bp2/jsLyQnKL6yRfbH18/7224Pz3v2txkY4f5/uhkQghCHQO5JFHHiEiIoJFixbZ2lJFAyhxaIeY9zTU8tW/rrqu5WUjBDz6KBw/jtukSXydmUlUVRWFH1zEO9+rxu9NgQC9XbxrCIY9UZ8bq7VoEx5LJ09qHmuJidq937IFPvkEgoLMwjrjuRmcPHmSTz75BF9fX1tbrGgAuxMHIcQrQohMIcQB40tlDLcy10rP2BQaTD9am8BAWL6cwJ9/5qu4aHzLYe0f38f71ytrDJdKLnG57DJ3xNwBNDAasTGm+EjNQasWh8uX4YUXoHt3TRDmz4dDh+DOK95veoMe9yPufPjhh8yYMYM77rjDdvYqrondiYORt6SUvY2vTdc+XdEUrCkO10w/WpvbbiN93RvcMhQKK6uY9IepLFoDuakHr6SPNEaJtbdOsriimKzCrGYbOZhCmNhbu69KZSUsW6aF0l64EB55BE6cgJkzoVZmwJQjKZxceZLhw4czZ84cGxmsaCz2Kg6KZsSa4mCqp7Ed2rzt85i47g98PQw+W/8FZ52cWJYM//OHRSRNvJUORXB79O04OTjZXSdpWnRvLnHwcPYg1CuUOT/P4eG1DzfLv2E1qqvhyy8hIQEef1xzX969Gz7+WEvKU4u0zDRyl+fi6evJ559/bt7vorBf7FUcnhRCHBJCfCyE8K/vBCHEVCHEXiHE3gsXLrS0fa2a7kHdeWvkWzzc0zodkEkcGuNls/HERgI9All410LG3Duedd98w1EnRxK93Jj0SwWZ77nS6/119HCNsjuf/+Z0YzXx9si3SQhOYP3x9fbptSQlbN4M/frB+PGaZ9r69bBjh1ZWD0VFRdxzzz1QCM+9/RxBQUEtbLTierCJOAghfhBCHKnnNRZ4H4gDegNZwBv11SGl/EBK2U9K2U/9sTUNIQTPDHqGQI9Aq9RXX/rRhtAb9CTGJfLs4GcBGDlyJGvWfElKcRUjE3pSPGIk4rXX2DYngyGrdkB+vlVstAYtIQ4TEibwWO/HKKksIaeobtwpmyGllrv59tth9GjIy4OVKzV35bFjG8y3UFlZyfjx40k+mAwPQOLtiS1suOJ6sYk4SClHSCkT6nl9LaXMkVJWSSmrgQ+BAbawUdF4TLuFrzUNZEqvWbtzHTduHGvXruVgSgojMjK4+MMPnO0cyp++yoDoaC1N5PlrC09zozfo8XLxspqoNoRdLUxXV8PatdqoYNQoSEuD996D48e19YWrxEKqrKxk8uTJbNq0iQeffxC6XllXUdg/djetJISwnLAcBxyxlS2KxtHYzqy+9Jom7rnnHtavX8/Ro0e5869/Zc2rj9J3KlQMv0PzfImJ0TKC2TAFaY2Ios2IXYhDWRmsWKHFyXrgAc0badkyLZLq9OngcvV9HuXl5UycOJFVq1Yxf/58wu4Iw9PZ05zrQmH/2J04AAuEEIeFEIeAYcBfbG2Q4urUTj/aENdKETl69Gg2btxIamoqS/93KftdIPm9V7XwCxMnwpIlEBen+dFv2aJNdbQgzbnHwZJov2gEwjbikJmp7WqOioLHHtNE4IsvtJHClCnXFAWAgoIC7r//ftauXctbb73FzJkz682BobBv7E4cpJSTpJQ9pZQ3SSnvlVJm2domxdVxd3Yn3Dv8mgvIVwtaZ+Kuu+5i69atVJRUwEfw7Q/fajutP/4Y9HqYMUOL3TRihDn6KwUFVm1PfUgptRDnzbTHwRI3JzfteraUOEgJ27drAhwTA3PnwqBB2i7nAwdgwoSrTh9ZotfrGTx4MJs3b2bJkiU888wzWnkLCavCetidOChaJ41xZ62TBawBBgwYwI/bfwQPeHnKy6xevVo7EBWlBfQ7e1ab8vDwgD/9SXOdfPRR2LpVmyNvBs4Xnae4orjF5sxbJAhfRoZ2Pbt00RaaN2+Gp5/Wdjlv2KAJcBOe9Ddu3Ej//v3JzMxk8+bNTJs2DcC8812JQ+tCiYPCKjRWHBo7tdC7W298p/sSFB/ExIkTmTFjBpWmXNVublpioT17ICkJHn4Y1q3T0pXGx8Orr0JqqjWaVcN2aF5PJUuaTRwKCuDzz7XFZdNif1gYLF+uTSktXAi6prXRYDAwefJk7r33XiIjI9m9ezcjRowwHzcJqxKH1oUSB4VVsEw/aknG5QymfD2FkoqSJj89xkXG0fP5nkybNo0FCxaQmJhIdnb2lROE0KY/PvgAsrI49vaLnPRHE4fOnaF3b448NZHPvpgNaE+wj294nOGfDuezQ581yoY3k95k/fH1NhGHzIIr1/Oj/R/x6cFPr6+yggJYtYr0O2+mrIMfPPwwMjlZS8x08iRs26aNvDw9m1RteXk5ixYtokuXLvz73//mpZdeYs+ePcTHx9c4r6WvncI6KHFQWAXL9KOWfHPiGz4+8DG7M3c3ec5e568jrTCNJUuWsGLFCpKSkujZsyfr16+ve7KHB69Hn6XTvacpPZUCb70FXl4kLFrNIw/Ngx49KHz2z6R+tYztqT+ydN/SRtkwd/tcluxdYu7gTIvvzU3tUOgLkxby1q9vNb6CU6c0l9MxYyAoCP7wB9x/O8LSPtXc9hgYju2HOXO0Bf4mYjAYePvtt+natStPPfUUCQkJ7N69m9deew2XehaslTi0TtQedoVVsHS/tMwWZ+oYdp7d2WB6zQbr9NOxIWUDVdVVTJ48mf79+5vj/0+ePJmFCxcSGHhlz4HJGyrdu5ouzzwDzzxD/5fDGbgni3eKA/FctIStlVDoKvglfi+Uvg9Dh2oL3g51n5PySvO4VHIJvUFPmHcYEd4RuDm51TnPGkgpyc/PJyMjg4yMDI4nH4ddMC9vHsGOwaTuTMURR548/CRCCDw9PfHy8sLLywtPT098hSA4O5uQlBRCd+7ET69HgNb5P/EEPPgg3bffg4uzG1mFWZzOTyfAs/H7NfLy8vjuu+/YsGED69ato6SkhEGDBvH++++TmJh41anClhZWhXVQ4qCwCua8Dnk1I6maOobryTyn89dRXlXOuYJzRPlG0b17d5KSkpgzZw7/+Mc/2LhxI6+//jqPPfYYjo6ONbLIdQnsQmllKfscstk7EJ7801J+S9nG6kVP8Oe8eDrvStX89QECAmDwYLj1Vu3Vuzd4e5v3ZaTlpRHsGWyVJ18pJadPn+bo0aMkJyebXykpKRTU43W18j8rcXNzo0pWUSWqWJWyClktKS4qoryiosF/x8XRkeCgIEL8/AhJTcV3yXtc1Bvoo+tD1uUs1ny1hrKby3B3d8fJyQlnZ2cACgsLKSgo4Ny5c6Snp5OSksLevXs5duwYUkoCAwOZNGkSTzzxBH369GlUm/V5+mYVVkXzoMRBYRVM6UdrL6Kavu84swNoujiY6ojyjQLAxcWFOXPmMHHiRKZPn87jjz/OO++8wytzXiEjPwOERcKgvHQkV3JWp1RksaGb4N57ZzLi6ymkjt5EfHK25hq7Ywd8843FP64jWBfES5VwOKSC9Jxd9BsyvsnXpaioiD179pCUlGR+5eZeSeYTERFB9+7defTRR4mOjiYyMpLIyEiCg4Pp9VFPnu/8EA+49WLxqr/QKxseqQ7H67geKiqoAIp8fCjs25e8nj05r9OR4+dH9qVL5OTkkJOTQ3Z2NllZWew7sA9y4LedvwGwYMMCFrDgmvaHhobSr18/xo8fz1133cXAgQNxbKRbqwnlqdQ6UeKgsArm0N0W4iCl5JThFADlVeVNTq9pKQ5DY4bWONajRw+2bt3KmjVrePHFF3lg3AMQDtwCqf1Szb8zoTfo0Rv0RPpE0i2wGwhI8a8m/rHHtM1eALm58OuvWrygAwdw/3Urr2SYFuYq4b1V8NeftKma6GgIDYWQEO0VGor08eF0Xh5Jx4+z89Ahkvbv59CRI1RVaSlQu3TuzJiRIxnUsye9YmLoFhqKr5Rw6RJkZUF2Nhw7pn0+fRpDajmulSsALeCYwQ2Ke0q8nngCevfGuU8f/Lp3x8/RkchrXMuvjn3F71f/nl8m/cI9y+5haNBQpnafSllZGRUVFVRWViKlNE9VhYWFERUVhWcTF6nrQ2/QMzx2+A3Xo2hZlDgorEZtcTCUGrhcdhmBQCKbnF6zo29HHIRDgy6dQggmTJjA/fffz3OvP8e7b70La2HpT0txn+qOYy/tCde029gybzXUs6M7MFBbwB0zBoDZ3/wvn+1cQtdciLsEM8MeoHehl7bY+8svFGRns6+0lF1AkvFligDlBQwEZgG3AIOAgBMntFwHDeHgAMHBmuh06cK3unIO+5YS3W84fzv7KWd9YP6IScwcMrPR19CE3qAHAT0ietAprhMFrgWMGjWqyfU0ldLKUjIvZ6qRQytEiYPCauj8dGxL24aUEiGuhH/oG96Xvef2NrmDcHZ0pqNvx2vuvHZ2dqZzYmeogPhL8eT8lMM///lPqqqqEIEC/57+7CzayWmP0/yuz+8I9gzGw9mjUeE+4jr2Yr/rYfb6VHNr/9vZcUGwV0r2XLzIsbIyTAE8OkVGMqpLF26JjeWWyEgS/P1xLC29EuJDCO3l4ADe3uDldeXdz0/baxAUVGMn8s+bn2HZ/mWMi6kGogiuKrvuvQ96g54A9wB83XzR+evYlbnruuppKqapPSUOrQ8lDgqrofPXUVBewMWSiwR6BF7J7BY7QhOH6wg90djNYHqDHjcXN+6++24+Dv+YzP+XSeLMRE7tPkXejjx2/aR1hmuD1pL+bjouJS5s2reJyKOReHt7U11dTUVFBRUVFRQWFpKVlcWOX3bgWuwK54ASeIqnAAgJCaF///5MmDCBAQMG0K9fvxpeU9ZC56+jqKKIXRm70PnrKLtBcbBM8rTm6BoqqytxcmjeLkC5sbZelDgorIbldM2+c/tYvGcxAMN1w/nHL/+4rg5C56dj9dHVvPzTy8y+fXa901If7PuAb1O/ReevIy4gjsLyQl7b+xrnE84zLHEYMZ4x/GvdvyALejr1pORSCSXHSjiRdILnvnqu3n83MDCQIscigiODce/oznmP83zz1Df06NGD8PDwFgkgZ7peqZdSGdJxCGVVZSSdTbquuvQGPX3C+pjrrZJVnM0/S/KFZMK8w7g57OYbtvd80Xne2PkG5VXl5rKjF46a/01F60KJg8JqWIrD/B3zSb6QzB0xdzAochB9w/oyXNf0RckRuhGsSV7Daz+/xtCYodwZe2eN48UVxUz7Zhqujq48NfAphnQcQrBnMJ8d/gyBYGTcSKJ9o1nVbRWuCa588tgnxAXEsXjPYmZ9P4vqsmoKCwtZmLiQR/s9irOzM+7u7mQVZxH9djSzxsyiuKKY/dn7SUxs2UQ1fcP6EuUTRUF5AXfp7iL5QjKrj6ymoqoCZ0fnRtdTVV1FWl4av+/2e6DmfXp84+P0C+/Hhoc23LC9Xx79kgU7F+Dt4l1DPPuH9yfEM+SG61e0LEocFFbDFJTu1KVT6A16pvebzjuj3wFg79S911XnhIQJDIwcSOw7segN+jriYNpBvHzsch7q+RAAOc/VzaB28YWLNb5P7z+d6f2nU1ldiftcdy45XaJDhw7m45bTIdcjatYgzDuMM385Y/6+/Lfl2hP/5bNNehLPLMikorqiTu7wI+ePkFWYZbUYTnqDHjcnN/Jn5qvQ3G0AFT5DYTU8nD0I9Qpl97ndFJYXWm0qIdInEicHp3o7sRud03ZycCLaN7rOorc9zpVfbxKg2m2J8I7A2cGZH9N+NB+3Rr5qlbOhbaHEQWFVdP46tqZtNX+2BuYOvBnEwfTb+jbvOQpH8+Y7e8Ba4uDo4Ei0X7T5PlkrX7Xa7Na2UOKgsCo6fx2Xyy6bP1uz3obE4UbzOjckDtF+0c3uzdMUwr3DcXZwvi5xqC10lvfJdM6NYM7Z0ALJkBQtgxIHhVWx7BysmRjnauJwo1MZOn8ducW5dTpLe3sKdnRwJMYv5rrEobbQ1e7Eb1QccotzrTqVqLA9ShwUVsXUOYR6heLh7GHVei+WXCS/NL9GuTU6cXPQQMOVoIH2+hR8PUmA6rtGpu+dAjpZJV+1Pa7RKG4MJQ4Kq2IaLVi7k6gv6qu1pjJqz+UXlBVwofiCXXZ01y0OfvWLQ/eg7kT4RChxUNTBfiZUFW2C2u6S1q53xYEV/PWWvxLgHsC/D/2bksqSG56+shSHSyWX+HDfh4B1p8Wshc5fh6HUgKHEQMblDII9g/F08eTI+SMMihxU53yT0NVui+V9MpQamiQO+aX5bEjZQGV1pbnsPyf/A9jnNVNcH0ocFFYl3DucCO8IBoQPsGq9nQI64ensyTu73iG7MJvBUYN5evPTAPQO7X1Ddfu5+eHv5o/eoOfNpDeZu30uAkGvkF7WMN2qWI6gxqwaw92d7qZTQCdm/zib3Bdy8XPzq3G+aaRVW6w7deiEn5sfAyIGYCg18P2p7xttw/t732fWlll1yrt06GLVqUSFbVHioLAqDsIB/dN6q3v5eLt6k/HXDO5ffT+pl1IJ8gjCx9WHE0+eIMTrxnff6vx16PP0+JT4aIHp/rjrhjygmgtTJ38g+wBZhVmkXEyhWlZTJavQG/R1wmA0NN3j5eJF9rPZuDi6kHox1ZyvujEJeVIvphLiGcKuP9YM3meP10tx/ShxUFidpoTlbgp+bn50C+zGqiOrCPEMIc4/zirCAFrneTDnIN4u3nQK6GS3HV2snzZts+X0FuCKm6rpc2PFAcDVybXGsbS8NLoGdr2mDfo8PfEB8U3KzaFofagFaUWrQuevI680j/1Z+62+jyItL41ThlN2vajq6+ZLB/cObNFr4nCu4BzJF5KB+t1R9QY9vq6++Lv5N1hnUzfX2aObr8L6KHFQtCpMnVJOUY7VxaG8qpy80jy77/h0/roaO5ovFF8AGhaHa+0DMS0iW7ryNkR5VTln85sW20nROlHioGhVWHZK1haH5qi3OWjIvquJw9UI8QzB3cm9USMHlbyn/aDEQdGqsHSkyzYjAAAKPElEQVSVtGYHZZrLt3a9zYHJvkifK5mjI30i63Tu1bKa03mnr9kec/7va2TcA7WfoT2hxEHRqvBx9TEvFluzgzLlq4aaQmGPmOwbFDnI7Do6QjeC9Pz0GnsPsgqyKK8qb9R1akrGPdP5iraNEgdFq0Pnr0Mg6Ojb0Wp1mvJVm/Is2zPmDWx+OnT+Otyc3BgcOZjK6kp+PP0jVdVVQNM6cpM4WIbuLq8q51LJJUDzZNqftZ9dmbtwdXQl1CvU2s1S2BnKlVXR6ugR1IO80jyru8z2COpBfln+tU+0MV0Cu+AgHOge1J30/HScHZzpFtQNgJGfjeTtkW/z9KCnmywOheWF5BbnEuQZBMDrO15nyb4l7J+6n/h346mSmujcFHKTeZSlaLsocVC0OhYmLqSgrMDq9X5070fmDtCeifSJ5OATB+ka2JXfdf4dpZWlRHhHsOV/tjD+y/EcOX8E0EYODsKhUSMsS3dWkzj8lv0b5wrOsf3MdqpkFX8f9nd6hvQkITih+RqnsBuUOChaHQHuAQS4B1i9XmttqGsJTB205Wa9O2PvpHOHzuaFZX2eniifqEaNsCzFYWDkQPNngB/0PwAwMWEicQFx1muEwq5RY0OFog1hubDclM1qMX4x5t/AlYi3oIlDY0cgiraDEgeFog2h89dxJv8MFVUVTRIHD2cPwrzCzIJwseQiBeXa1N0pwyk6+nbE2dG52exW2B9KHBSKNoTOX0e1rOZ47nGyC7Ob5JZrudehtlurcl1tfyhxUCjaEKZO3BSYrymdeu0pKcAck8kes+IpmhebiIMQ4kEhxFEhRLUQol+tY7OEECeFEClCiJG2sE+haK2YRgqmReSmisPZ/LOUV5WbxWFY7DCtXpXEp91hq5HDEeB+4GfLQiFEd2Ai0AMYBSwWwhiPWKFQXJNw73BcHF2uWxwkkvS8dPQGPSGeIfQM7tnkehRtA5uIg5TymJQypZ5DY4EvpJRlUsrTwEnAuinFFIo2jKODI7F+sZRVleHt4t2kvBSW7qymxez4gHgA4vyVC2t7w972OUQAv1p8zzCW1UEIMRWYCtCxo3KxUyhMLB2zlO1nttM7tPdVQ3XXxjQlpTfoOZ13msFRg3mg+wMA9Avvd7WfKtogzSYOQogfgPoCsMyWUn7d0M/qKZP1lCGl/AD4AKBfv371nqNQtEeGxgxlaMzQJv8uzDsMV0dXTlw8wZn8MzzS8xHcnNx45KZHmsFKhb3TbOIgpRxxHT/LAKIsvkcC56xjkUKhuBoOwoFY/1i2pm+lWlardYZ2jr25sm4AJgohXIUQsUAnYLeNbVIo2g06fx0Hsg+YPyvaL7ZyZR0nhMgAbgG+FUJ8ByClPAqsAZKBzcCfpGwFkdAUijaC5X4GJQ7tG5ssSEsp1wHrGjg2F5jbshYpFAq4Igguji6Ee4fb2BqFLbG3aSWFQmFDTOIQ4xeDo4PaYtSeUeKgUCjMmLPMqSmldo8SB4VCYcYUJkPFUlLY2yY4hUJhQ7xcvFgwYgF3xd1la1MUNkaJg0KhqMHztz5vaxMUdoCaVlIoFApFHZQ4KBQKhaIOShwUCoVCUQclDgqFQqGogxIHhUKhUNRBiYNCoVAo6qDEQaFQKBR1UOKgUCgUijoIKVt/EjUhxAUg/QaqCARyrWROa6C9tRdUm9sLqs1NI1pKGVTfgTYhDjeKEGKvlLLdJMltb+0F1eb2gmqz9VDTSgqFQqGogxIHhUKhUNRBiYPGB7Y2oIVpb+0F1eb2gmqzlVBrDgqFQqGogxo5KBQKhaIOShwUCoVCUYd2LQ5CiFFCiBQhxEkhxExb29NcCCHShBCHhRAHhBB7jWUBQojvhRCpxnd/W9t5IwghPhZCnBdCHLEoa7CNQohZxvueIoQYaRurb4wG2vyKECLTeK8PCCHutjjWqtsshIgSQvwkhDgmhDgqhHjaWN5m7/NV2tz891lK2S5fgCNwCtABLsBBoLut7WqmtqYBgbXKFgAzjZ9nAq/b2s4bbOPtwM3AkWu1EehuvN+uQKzx78DR1m2wUptfAZ6r59xW32YgDLjZ+NkbOGFsV5u9z1dpc7Pf5/Y8chgAnJRS6qWU5cAXwFgb29SSjAU+MX7+BLjPhrbcMFLKn4FLtYobauNY4AspZZmU8jRwEu3voVXRQJsbotW3WUqZJaXcb/xcABwDImjD9/kqbW4Iq7W5PYtDBHDW4nsGV7/orRkJ/FcIsU8IMdVYFiKlzALtDxAItpl1zUdDbWzr9/5JIcQh47STaYqlTbVZCBED9AF20U7uc602QzPf5/YsDqKesrbq13urlPJmYDTwJyHE7bY2yMa05Xv/PhAH9AaygDeM5W2mzUIIL2At8IyU8vLVTq2nrK20udnvc3sWhwwgyuJ7JHDORrY0K1LKc8b388A6tGFmjhAiDMD4ft52FjYbDbWxzd57KWWOlLJKSlkNfMiVKYU20WYhhDNaJ/lvKeVXxuI2fZ/ra3NL3Of2LA57gE5CiFghhAswEdhgY5usjhDCUwjhbfoMJAJH0No62XjaZOBr21jYrDTUxg3ARCGEqxAiFugE7LaBfVbH1EkaGYd2r6ENtFkIIYCPgGNSyjctDrXZ+9xQm1vkPtt6Nd7GngB3o63+nwJm29qeZmqjDs174SBw1NROoAOwBUg1vgfY2tYbbOfnaMPrCrSnpylXayMw23jfU4DRtrbfim1eCRwGDhk7irC20mZgCNoUySHggPF1d1u+z1dpc7PfZxU+Q6FQKBR1aM/TSgqFQqFoACUOCoVCoaiDEgeFQqFQ1EGJg0KhUCjqoMRBoVAoFHVQ4qBQNAEhxGxjdMxDxmiYA4UQzwghPGxtm0JhTZQrq0LRSIQQtwBvAndIKcuEEIFoEX13Av2klLk2NVChsCJq5KBQNJ4wIFdKWQZgFIMHgHDgJyHETwBCiEQhRJIQYr8Q4ktjXBxTXo3XhRC7ja94Y/mDQogjQoiDQoifbdM0haImauSgUDQSYye/A/AAfgBWSym3CSHSMI4cjKOJr9B2phYJIWYArlLK14znfSilnCuE+B9gvJRyjBDiMDBKSpkphPCTUubZpIEKhQVq5KBQNBIpZSHQF5gKXABWCyEerXXaILSEK78IIQ6gxfqJtjj+ucX7LcbPvwArhBCPoyWhUihsjpOtDVAoWhNSyipgK7DV+MQ/udYpAvheSvlQQ1XU/iylfEIIMRD4HXBACNFbSnnRupYrFE1DjRwUikYihOgihOhkUdQbSAcK0FI4AvwK3GqxnuAhhOhs8ZsJFu9JxnPipJS7pJR/A3KpGXJZobAJauSgUDQeL2CREMIPqERLwTgVeAj4jxAiS0o5zDjV9LkQwtX4uxfRov8CuAohdqE9mJlGF/80io5Aiyp6sEVao1BcBbUgrVC0EJYL17a2RaG4FmpaSaFQKBR1UCMHhUKhUNRBjRwUCoVCUQclDgqFQqGogxIHhUKhUNRBiYNCoVAo6qDEQaFQKBR1+P8oTwnDGwIeJgAAAABJRU5ErkJggg==\n", 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\n", + "text/plain": [ + "
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\\\n", + "0 0.27760 0.30010 0.14710 0.2419 \n", + "1 0.07864 0.08690 0.07017 0.1812 \n", + "2 0.15990 0.19740 0.12790 0.2069 \n", + "3 0.28390 0.24140 0.10520 0.2597 \n", + "4 0.13280 0.19800 0.10430 0.1809 \n", + ".. ... ... ... ... \n", + "564 0.11590 0.24390 0.13890 0.1726 \n", + "565 0.10340 0.14400 0.09791 0.1752 \n", + "566 0.10230 0.09251 0.05302 0.1590 \n", + "567 0.27700 0.35140 0.15200 0.2397 \n", + "568 0.04362 0.00000 0.00000 0.1587 \n", + "\n", + " mean fractal dimension ... worst radius worst texture \\\n", + "0 0.07871 ... 25.380 17.33 \n", + "1 0.05667 ... 24.990 23.41 \n", + "2 0.05999 ... 23.570 25.53 \n", + "3 0.09744 ... 14.910 26.50 \n", + "4 0.05883 ... 22.540 16.67 \n", + ".. ... ... ... ... \n", + "564 0.05623 ... 25.450 26.40 \n", + "565 0.05533 ... 23.690 38.25 \n", + "566 0.05648 ... 18.980 34.12 \n", + "567 0.07016 ... 25.740 39.42 \n", + "568 0.05884 ... 9.456 30.37 \n", + "\n", + " worst perimeter worst area worst smoothness worst compactness \\\n", + "0 184.60 2019.0 0.16220 0.66560 \n", + "1 158.80 1956.0 0.12380 0.18660 \n", + "2 152.50 1709.0 0.14440 0.42450 \n", + "3 98.87 567.7 0.20980 0.86630 \n", + "4 152.20 1575.0 0.13740 0.20500 \n", + ".. ... ... ... ... \n", + "564 166.10 2027.0 0.14100 0.21130 \n", + "565 155.00 1731.0 0.11660 0.19220 \n", + "566 126.70 1124.0 0.11390 0.30940 \n", + "567 184.60 1821.0 0.16500 0.86810 \n", + "568 59.16 268.6 0.08996 0.06444 \n", + "\n", + " worst concavity worst concave points worst symmetry \\\n", + "0 0.7119 0.2654 0.4601 \n", + "1 0.2416 0.1860 0.2750 \n", + "2 0.4504 0.2430 0.3613 \n", + "3 0.6869 0.2575 0.6638 \n", + "4 0.4000 0.1625 0.2364 \n", + ".. ... ... ... \n", + "564 0.4107 0.2216 0.2060 \n", + "565 0.3215 0.1628 0.2572 \n", + "566 0.3403 0.1418 0.2218 \n", + "567 0.9387 0.2650 0.4087 \n", + "568 0.0000 0.0000 0.2871 \n", + "\n", + " worst fractal dimension \n", + "0 0.11890 \n", + "1 0.08902 \n", + "2 0.08758 \n", + "3 0.17300 \n", + "4 0.07678 \n", + ".. ... \n", + "564 0.07115 \n", + "565 0.06637 \n", + "566 0.07820 \n", + "567 0.12400 \n", + "568 0.07039 \n", + "\n", + "[569 rows x 30 columns]\n", + " malignant benign\n", + "0 1 0\n", + "1 1 0\n", + "2 1 0\n", + "3 1 0\n", + "4 1 0\n", + ".. ... ...\n", + "564 1 0\n", + "565 1 0\n", + "566 1 0\n", + "567 1 0\n", + "568 0 1\n", + "\n", + "[569 rows x 2 columns]\n" + ] + }, + { + "data": { + "text/plain": [ + "32512" + ] + }, + "execution_count": 2, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "import os\n", "from sklearn.datasets import load_breast_cancer\n", @@ -605,10 +746,19 @@ { "cell_type": "code", "execution_count": 3, - "metadata": { - "collapsed": false - }, - "outputs": [], + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "32512" + ] + }, + "execution_count": 3, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "# Common imports\n", "import numpy as np\n", @@ -647,11 +797,48 @@ }, { "cell_type": "code", - "execution_count": 4, - "metadata": { - "collapsed": false - }, - "outputs": [], + "execution_count": 42, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[Text(167.4, 199.32, 'X[2] <= 2.45\\ngini = 0.667\\nsamples = 150\\nvalue = [50, 50, 50]'),\n", + " Text(141.64615384615385, 163.07999999999998, 'gini = 0.0\\nsamples = 50\\nvalue = [50, 0, 0]'),\n", + " Text(193.15384615384616, 163.07999999999998, 'X[3] <= 1.75\\ngini = 0.5\\nsamples = 100\\nvalue = [0, 50, 50]'),\n", + " Text(103.01538461538462, 126.83999999999999, 'X[2] <= 4.95\\ngini = 0.168\\nsamples = 54\\nvalue = [0, 49, 5]'),\n", + " Text(51.50769230769231, 90.6, 'X[3] <= 1.65\\ngini = 0.041\\nsamples = 48\\nvalue = [0, 47, 1]'),\n", + " Text(25.753846153846155, 54.359999999999985, 'gini = 0.0\\nsamples = 47\\nvalue = [0, 47, 0]'),\n", + " Text(77.26153846153846, 54.359999999999985, 'gini = 0.0\\nsamples = 1\\nvalue = [0, 0, 1]'),\n", + " Text(154.52307692307693, 90.6, 'X[3] <= 1.55\\ngini = 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"execution_count": 42, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ "from sklearn.datasets import load_iris\n", "from sklearn import tree\n", @@ -675,10 +862,23 @@ { "cell_type": "code", "execution_count": 5, - "metadata": { - "collapsed": false - }, - "outputs": [], + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "|--- petal width (cm) <= 0.80\n", + "| |--- class: 0\n", + "|--- petal width (cm) > 0.80\n", + "| |--- petal width (cm) <= 1.75\n", + "| | |--- class: 1\n", + "| |--- petal width (cm) > 1.75\n", + "| | |--- class: 2\n", + "\n" + ] + } + ], "source": [ "from sklearn.datasets import load_iris\n", "from sklearn.tree import DecisionTreeClassifier\n", @@ -836,11 +1036,78 @@ }, { "cell_type": "code", - "execution_count": 6, - "metadata": { - "collapsed": false - }, - "outputs": [], + "execution_count": 12, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " (0, 0)\t1.0\n", + " (0, 7)\t1.0\n", + " (0, 9)\t1.0\n", + " (0, 13)\t1.0\n", + " (1, 3)\t1.0\n", + " (1, 5)\t1.0\n", + " (1, 8)\t1.0\n", + " (1, 12)\t1.0\n", + " (2, 3)\t1.0\n", + " (2, 5)\t1.0\n", + " (2, 8)\t1.0\n", + " (2, 11)\t1.0\n", + " (3, 1)\t1.0\n", + " (3, 5)\t1.0\n", + " (3, 8)\t1.0\n", + " (3, 12)\t1.0\n", + " (4, 2)\t1.0\n", + " (4, 6)\t1.0\n", + " (4, 8)\t1.0\n", + " (4, 12)\t1.0\n", + " (5, 2)\t1.0\n", + " (5, 4)\t1.0\n", + " (5, 10)\t1.0\n", + " (5, 12)\t1.0\n", + " (6, 2)\t1.0\n", + " :\t:\n", + " (8, 12)\t1.0\n", + " (9, 3)\t1.0\n", + " (9, 4)\t1.0\n", + " (9, 10)\t1.0\n", + " (9, 12)\t1.0\n", + " (10, 2)\t1.0\n", + " (10, 6)\t1.0\n", + " (10, 10)\t1.0\n", + " (10, 12)\t1.0\n", + " (11, 3)\t1.0\n", + " (11, 6)\t1.0\n", + " (11, 10)\t1.0\n", + " (11, 11)\t1.0\n", + " (12, 1)\t1.0\n", + " (12, 6)\t1.0\n", + " (12, 8)\t1.0\n", + " (12, 11)\t1.0\n", + " (13, 1)\t1.0\n", + " (13, 5)\t1.0\n", + " (13, 10)\t1.0\n", + " (13, 12)\t1.0\n", + " (14, 2)\t1.0\n", + " (14, 6)\t1.0\n", + " (14, 8)\t1.0\n", + " (14, 11)\t1.0\n", + "Train set accuracy with Decision Tree: 0.73\n" + ] + }, + { + "data": { + "text/plain": [ + "32512" + ] + }, + "execution_count": 12, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "# Common imports\n", "import numpy as np\n", @@ -907,7 +1174,7 @@ " rounded=True,\n", " filled=True\n", ")\n", - "cmd = 'dot -Tpng DataFiles/cancer.dot -o DataFiles/cancer.png'\n", + "cmd = 'dot -Tpng DataFiles/ride.dot -o DataFiles/ride.png'\n", "os.system(cmd)" ] }, @@ -927,11 +1194,73 @@ }, { "cell_type": "code", - "execution_count": 7, - "metadata": { - "collapsed": false - }, - "outputs": [], + "execution_count": 11, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "X1 < 0.000 Gini=0.408\n", + "X1 < 0.000 Gini=0.408\n", + "X1 < 1.000 Gini=0.394\n", + "X1 < 2.000 Gini=0.394\n", + "X1 < 2.000 Gini=0.394\n", + "X1 < 2.000 Gini=0.394\n", + "X1 < 1.000 Gini=0.394\n", + "X1 < 0.000 Gini=0.408\n", + "X1 < 0.000 Gini=0.408\n", + "X1 < 2.000 Gini=0.394\n", + "X1 < 0.000 Gini=0.408\n", + "X1 < 1.000 Gini=0.394\n", + "X1 < 1.000 Gini=0.394\n", + "X1 < 2.000 Gini=0.394\n", + "X2 < 0.000 Gini=0.408\n", + "X2 < 0.000 Gini=0.408\n", + "X2 < 0.000 Gini=0.408\n", + "X2 < 1.000 Gini=0.407\n", + "X2 < 2.000 Gini=0.407\n", + "X2 < 2.000 Gini=0.407\n", + "X2 < 2.000 Gini=0.407\n", + "X2 < 1.000 Gini=0.407\n", + "X2 < 2.000 Gini=0.407\n", + "X2 < 1.000 Gini=0.407\n", + "X2 < 1.000 Gini=0.407\n", + "X2 < 1.000 Gini=0.407\n", + "X2 < 0.000 Gini=0.408\n", + "X2 < 1.000 Gini=0.407\n", + "X3 < 0.000 Gini=0.408\n", + "X3 < 0.000 Gini=0.408\n", + "X3 < 0.000 Gini=0.408\n", + "X3 < 0.000 Gini=0.408\n", + "X3 < 1.000 Gini=0.367\n", + "X3 < 1.000 Gini=0.367\n", + "X3 < 1.000 Gini=0.367\n", + "X3 < 0.000 Gini=0.408\n", + "X3 < 1.000 Gini=0.367\n", + "X3 < 1.000 Gini=0.367\n", + "X3 < 1.000 Gini=0.367\n", + "X3 < 0.000 Gini=0.408\n", + "X3 < 1.000 Gini=0.367\n", + "X3 < 0.000 Gini=0.408\n", + "X4 < 0.000 Gini=0.408\n", + "X4 < 1.000 Gini=0.405\n", + "X4 < 0.000 Gini=0.408\n", + "X4 < 0.000 Gini=0.408\n", + "X4 < 0.000 Gini=0.408\n", + "X4 < 1.000 Gini=0.405\n", + "X4 < 1.000 Gini=0.405\n", + "X4 < 0.000 Gini=0.408\n", + "X4 < 0.000 Gini=0.408\n", + "X4 < 0.000 Gini=0.408\n", + "X4 < 1.000 Gini=0.405\n", + "X4 < 1.000 Gini=0.405\n", + "X4 < 0.000 Gini=0.408\n", + "X4 < 1.000 Gini=0.405\n", + "Split: [X3 < 1.000]\n" + ] + } + ], "source": [ "# Split a dataset based on an attribute and an attribute value\n", "def test_split(index, value, dataset):\n", @@ -1036,11 +1365,38 @@ }, { "cell_type": "code", - "execution_count": 8, - "metadata": { - "collapsed": false - }, - "outputs": [], + "execution_count": 13, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "(426, 30)\n", + "(143, 30)\n", + "Test set accuracy with Logistic Regression: 0.95\n", + "Test set accuracy with SVM: 0.63\n", + "Test set accuracy with Decision Trees: 0.90\n", + "Test set accuracy Logistic Regression with scaled data: 0.96\n", + "Test set accuracy SVM with scaled data: 0.96\n", + "Test set accuracy with Decision Trees and scaled data: 0.86\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/Users/MortenImac/anaconda3/lib/python3.6/site-packages/sklearn/linear_model/_logistic.py:762: ConvergenceWarning: lbfgs failed to converge (status=1):\n", + "STOP: TOTAL NO. of ITERATIONS REACHED LIMIT.\n", + "\n", + "Increase the number of iterations (max_iter) or scale the data as shown in:\n", + " https://scikit-learn.org/stable/modules/preprocessing.html\n", + "Please also refer to the documentation for alternative solver options:\n", + " https://scikit-learn.org/stable/modules/linear_model.html#logistic-regression\n", + " extra_warning_msg=_LOGISTIC_SOLVER_CONVERGENCE_MSG)\n" + ] + } + ], "source": [ "import matplotlib.pyplot as plt\n", "import numpy as np\n", @@ -1094,11 +1450,22 @@ }, { "cell_type": "code", - "execution_count": 9, - "metadata": { - "collapsed": false - }, - "outputs": [], + "execution_count": 14, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ "np.random.seed(6)\n", "Xs = np.random.rand(100, 2) - 0.5\n", @@ -1212,10 +1590,8 @@ }, { "cell_type": "code", - "execution_count": 11, - "metadata": { - "collapsed": false - }, + "execution_count": 16, + "metadata": {}, "outputs": [], "source": [ "# Quadratic training set + noise\n", @@ -1228,11 +1604,20 @@ }, { "cell_type": "code", - "execution_count": 12, - "metadata": { - "collapsed": false - }, - "outputs": [], + "execution_count": 17, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "DecisionTreeRegressor(max_depth=2, random_state=42)" + ] + }, + "execution_count": 17, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "from sklearn.tree import DecisionTreeRegressor\n", "\n", @@ -1249,11 +1634,22 @@ }, { "cell_type": "code", - "execution_count": 13, - "metadata": { - "collapsed": false - }, - "outputs": [], + "execution_count": 18, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ "from sklearn.tree import DecisionTreeRegressor\n", "\n", @@ -1297,11 +1693,22 @@ }, { "cell_type": "code", - "execution_count": 14, - "metadata": { - "collapsed": false - }, - "outputs": [], + "execution_count": 19, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ "tree_reg1 = DecisionTreeRegressor(random_state=42)\n", "tree_reg2 = DecisionTreeRegressor(random_state=42, min_samples_leaf=10)\n", @@ -1455,11 +1862,22 @@ }, { "cell_type": "code", - "execution_count": 15, - "metadata": { - "collapsed": false - }, - "outputs": [], + "execution_count": 20, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ "heads_proba = 0.51\n", "coin_tosses = (np.random.rand(10000, 10) < heads_proba).astype(np.int32)\n", @@ -1485,11 +1903,24 @@ }, { "cell_type": "code", - "execution_count": 16, - "metadata": { - "collapsed": false - }, - "outputs": [], + "execution_count": 21, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "LogisticRegression 0.864\n", + "RandomForestClassifier 0.872\n", + "SVC 0.888\n", + "VotingClassifier 0.896\n", + "LogisticRegression 0.864\n", + "RandomForestClassifier 0.872\n", + "SVC 0.888\n", + "VotingClassifier 0.912\n" + ] + } + ], "source": [ "from sklearn.model_selection import train_test_split\n", "from sklearn.datasets import make_moons\n", @@ -1545,11 +1976,22 @@ }, { "cell_type": "code", - "execution_count": 17, - "metadata": { - "collapsed": false - }, - "outputs": [], + "execution_count": 22, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "VotingClassifier(estimators=[('lr', LogisticRegression(random_state=42)),\n", + " ('rf', RandomForestClassifier(random_state=42)),\n", + " ('svc', SVC(random_state=42))])" + ] + }, + "execution_count": 22, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "from sklearn.model_selection import train_test_split\n", "from sklearn.datasets import make_moons\n", @@ -1573,11 +2015,20 @@ }, { "cell_type": "code", - "execution_count": 18, - "metadata": { - "collapsed": false - }, - "outputs": [], + "execution_count": 23, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "LogisticRegression 0.864\n", + "RandomForestClassifier 0.896\n", + "SVC 0.896\n", + "VotingClassifier 0.912\n" + ] + } + ], "source": [ "from sklearn.metrics import accuracy_score\n", "\n", @@ -1589,11 +2040,23 @@ }, { "cell_type": "code", - "execution_count": 19, - "metadata": { - "collapsed": false - }, - "outputs": [], + "execution_count": 24, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "VotingClassifier(estimators=[('lr', LogisticRegression(random_state=42)),\n", + " ('rf', RandomForestClassifier(random_state=42)),\n", + " ('svc', SVC(probability=True, random_state=42))],\n", + " voting='soft')" + ] + }, + "execution_count": 24, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "log_clf = LogisticRegression(random_state=42)\n", "rnd_clf = RandomForestClassifier(random_state=42)\n", @@ -1607,11 +2070,20 @@ }, { "cell_type": "code", - "execution_count": 20, - "metadata": { - "collapsed": false - }, - "outputs": [], + "execution_count": 25, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "LogisticRegression 0.864\n", + "RandomForestClassifier 0.896\n", + "SVC 0.896\n", + "VotingClassifier 0.92\n" + ] + } + ], "source": [ "from sklearn.metrics import accuracy_score\n", "\n", @@ -1630,10 +2102,8 @@ }, { "cell_type": "code", - "execution_count": 21, - "metadata": { - "collapsed": false - }, + "execution_count": 26, + "metadata": {}, "outputs": [], "source": [ "from sklearn.ensemble import BaggingClassifier\n", @@ -1648,11 +2118,17 @@ }, { "cell_type": "code", - "execution_count": 22, - "metadata": { - "collapsed": false - }, - "outputs": [], + "execution_count": 27, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "0.904\n" + ] + } + ], "source": [ "from sklearn.metrics import accuracy_score\n", "print(accuracy_score(y_test, y_pred))" @@ -1660,11 +2136,17 @@ }, { "cell_type": "code", - "execution_count": 23, - "metadata": { - "collapsed": false - }, - "outputs": [], + "execution_count": 28, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "0.856\n" + ] + } + ], "source": [ "tree_clf = DecisionTreeClassifier(random_state=42)\n", "tree_clf.fit(X_train, y_train)\n", @@ -1674,11 +2156,22 @@ }, { "cell_type": "code", - "execution_count": 24, - "metadata": { - "collapsed": false - }, - "outputs": [], + "execution_count": 29, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ "from matplotlib.colors import ListedColormap\n", "\n", @@ -1721,13 +2214,86 @@ }, { "cell_type": "code", - "execution_count": 25, - "metadata": { - "collapsed": false - }, - "outputs": [], + "execution_count": 44, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Polynomial degree: 1\n", + "Error: 0.07227667858096927\n", + "Bias^2: 0.0652893306575086\n", + "Var: 0.006987347923460693\n", + "0.07227667858096927 >= 0.0652893306575086 + 0.006987347923460693 = 0.07227667858096928\n", + "Polynomial degree: 2\n", + "Error: 0.05836989993415855\n", + "Bias^2: 0.041759938144271175\n", + "Var: 0.016609961789887398\n", + "0.05836989993415855 >= 0.041759938144271175 + 0.016609961789887398 = 0.05836989993415857\n", + "Polynomial degree: 3\n", + "Error: 0.03782898583419244\n", + "Bias^2: 0.02546656736020144\n", + "Var: 0.012362418473991003\n", + "0.03782898583419244 >= 0.02546656736020144 + 0.012362418473991003 = 0.03782898583419245\n", + "Polynomial degree: 4\n", + "Error: 0.02687397352480727\n", + "Bias^2: 0.019844678299923552\n", + "Var: 0.007029295224883709\n", + "0.02687397352480727 >= 0.019844678299923552 + 0.007029295224883709 = 0.026873973524807263\n", + "Polynomial degree: 5\n", + "Error: 0.02418349743510754\n", + "Bias^2: 0.019065300092392493\n", + "Var: 0.005118197342715036\n", + "0.02418349743510754 >= 0.019065300092392493 + 0.005118197342715036 = 0.024183497435107528\n", + "Polynomial degree: 6\n", + "Error: 0.025199124364323443\n", + "Bias^2: 0.019553435613807617\n", + "Var: 0.005645688750515814\n", + "0.025199124364323443 >= 0.019553435613807617 + 0.005645688750515814 = 0.02519912436432343\n", + "Polynomial degree: 7\n", + "Error: 0.026244459364115912\n", + "Bias^2: 0.019585890473129607\n", + "Var: 0.006658568890986319\n", + "0.026244459364115912 >= 0.019585890473129607 + 0.006658568890986319 = 0.026244459364115926\n", + "Polynomial degree: 8\n", + "Error: 0.027513968566500215\n", + "Bias^2: 0.021384414956407104\n", + "Var: 0.006129553610093106\n", + "0.027513968566500215 >= 0.021384414956407104 + 0.006129553610093106 = 0.027513968566500208\n", + "Polynomial degree: 9\n", + "Error: 0.026932116586276145\n", + "Bias^2: 0.020531988520871097\n", + "Var: 0.006400128065405059\n", + "0.026932116586276145 >= 0.020531988520871097 + 0.006400128065405059 = 0.026932116586276155\n", + "Polynomial degree: 10\n", + "Error: 0.028412351760874928\n", + "Bias^2: 0.021810911828123093\n", + "Var: 0.006601439932751837\n", + "0.028412351760874928 >= 0.021810911828123093 + 0.006601439932751837 = 0.02841235176087493\n", + "Polynomial degree: 11\n", + "Error: 0.02746475592945749\n", + "Bias^2: 0.020819315285429622\n", + "Var: 0.006645440644027861\n", + "0.02746475592945749 >= 0.020819315285429622 + 0.006645440644027861 = 0.027464755929457484\n", + "0.4583586850552455\n" + ] + }, + { + "data": { + "image/png": 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ - "\n", + "import matplotlib\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "from sklearn.model_selection import train_test_split\n", @@ -1737,7 +2303,7 @@ "\n", "n = 100\n", "n_boostraps = 100\n", - "maxdepth = 8\n", + "maxdepth = 12\n", "\n", "# Make data set.\n", "x = np.linspace(-3, 3, n).reshape(-1, 1)\n", @@ -1776,19 +2342,44 @@ " print('Var:', variance[degree])\n", " print('{} >= {} + {} = {}'.format(error[degree], bias[degree], variance[degree], bias[degree]+variance[degree]))\n", "\n", - "mse_simpletree = np.mean( np.mean((y_test - simpleprediction)**2)\n", + "mse_simpletree = np.mean( np.mean((y_test - simpleprediction)**2))\n", + "print(mse_simpletree)\n", "plt.xlim(1,maxdepth)\n", - "plt.plot(polydegree, error, label='MSE simple tree')\n", - "plt.plot(polydegree, mse_simpletree, label='MSE for Bootstrap')\n", + "plt.plot(polydegree, error, label='MSE')\n", "plt.plot(polydegree, bias, label='bias')\n", "plt.plot(polydegree, variance, label='Variance')\n", "plt.legend()\n", "save_fig(\"baggingboot\")\n", "plt.show()" ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] } ], - "metadata": {}, + "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": "3.6.8" + } + }, "nbformat": 4, "nbformat_minor": 4 } From 913a52c0c371e09dc521cfa72674205760bc5e41 Mon Sep 17 00:00:00 2001 From: Morten Hjorth-Jensen Date: Fri, 30 Oct 2020 14:16:27 +0100 Subject: [PATCH 2/2] added notes oct 30 --- doc/HandWrittenNotes/NotesOctober30.pdf | Bin 0 -> 3044530 bytes 1 file changed, 0 insertions(+), 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