diff --git a/lessons/notebooks/03_Bayesian-Machine-Learning.ipynb b/lessons/notebooks/03_Bayesian-Machine-Learning.ipynb index a7bf73c..4859a81 100644 --- a/lessons/notebooks/03_Bayesian-Machine-Learning.ipynb +++ b/lessons/notebooks/03_Bayesian-Machine-Learning.ipynb @@ -745,7 +745,7 @@ "]},"changes":[(function (val){return (val!=this.model["changes"]()) ? (this.valueFromJulia["changes"]=true, this.model["changes"](val)) : undefined})],"value":[(function (val){return (val!=this.model["value"]()) ? 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gqOHz8uzQYqLS1FZmZmo3+x6fV6fPHFFwgLC5OuXVpaiq+++goLFy5EWVkZPvzwQzzxxBNWX2c2m/Hjjz/id7/7nd33YNGiRRg1ahTuuOMOvPDCC/D19cWKFSuQmZmJDRs22N3yYsuSJUvQv39/lJaWonv37laPBQcHN5hp0hSZmZn47LPPMGDAAOh0Opw4cQKLFy9usBLv6NGjMXHiRMyfPx9msxmDBw/GkSNHMG/ePEyYMEGahi7SaDQYMWIEdu/ebddrrc/e1/fUU08hJCQEAwcORFRUFMrKyrB582Zs3LgRL774olX3UHPOrc/We/xWli9fjrS0NAwbNgxPP/00kpKSUFVVhXPnzmHLli3SrLQJEyZg7dq16NKlC3r16oWjR49i2bJljc7YsaW5nzt77/3YsWMxatQoPP3006isrERKSgo2bNiA7du3Y926dVLX2549e3DXXXdhzpw5mDNnDoAbXUOWSxmI1q5dC29v7waPOeLzTCqj7Lhi8nSbNm2SZjc8+uijQkhIiBAcHCz86le/En755ZcG5w8bNkwYN26c1bE5c+YIPj4+wubNm4WkpCTBz89PGDlypHD48GEhJSVFiImJsZo9UX92UmVlpZCamirNjGjXrp0QEREhREdHC3fffbewbNkyoaysTLb+7777TgAgHD169Jav1dbsJEEQhL179wp33nmnEBgYKPj7+wuDBw8WtmzZYnWOODvl0qVLt3wuQbCenVTfpEmTBAAOW+wuKytLGD58uBAWFib4+voKKSkpwmuvvSZcu3atwbnXr18XZs+eLcTHxws+Pj5CQkKC8Morrwi1tbVW51VVVQkAhIceeqjR57Z1Xxy5YNuaNWuEYcOGCREREYKPj4/Qtm1bYcSIEcInn3zSonPlyL3HBeHW3//z588LTzzxhNC+fXtBq9UK7dq1E4YMGSIsWLBAOufKlSvC7373OyEyMlIICAgQ0tLShL179wojRowQRowYIZ3XlHvX3M9dS1RVVQnPPfecEB0dLfj6+gq9evUSNmzYYHWO+PmyNfPQkq3ZSc35PJN70AiCitcCJ7f30ksvYcWKFaioqGh0MKNIbFLOy8uTBouOGzcOxcXFOHbsWJOeMykpCVOmTHHI/kmPPvoocnJybO4RRPbbtm0bJkyYgBMnTqBnz55Kl+Mycu9xNWru584d8PPseTiwl5xKHBjYlAAD3FjoKzU1FYsWLZKOHT16FAMHDnRWiTZlZ2dj48aNWLJkicufuzXYtWsXHnrooVYVYAD597gaKfW5cxZ+nj0TQww5jfDfVT2b00+u0WiwevVqxMbGwmw2Iz8/H6WlpYr8MM3Pz8c777zTYBwHOcayZcuavcGfJ6j/HlcjJT93zsLPs2didxJ5HEd2JxERkXoxxBAREZFbYncSERERuSWGGCIiInJLHrXYndlsRlFREYKDgx2+gBgRERE5hyAIqKqqQmxsbLO2J/GoEFNUVCS71DoRERGpX0FBQbNWmPaoEBMcHAzgxk0ICQlx6LUNBgN27NiB0aNHQ6vVOvTadBPvs2vwPrsG77Nr8D67jrPudWVlJeLj46Xf403lUSFG7EIKCQlxSogJCAhASEgIPyROxPvsGrzPrsH77Bq8z67j7Hvd3KEgHNhLREREbokhhoiIiNwSQwwRERG5JYYYIiIicksMMUREROSWGGKIiIjILTHEEBERkVtiiCEiIiK3xBBDREREbokhhoiIiNwSQwwRERG5JYYYIiIicksMMUQqZzKZUFNTo3QZRESqwxBDpGKCICAtLQ3t27fHDz/8oHQ5RESqwhBDpGIVFRUoKSnBlStXMHr0aHzzzTdKl0REpBoMMUQq1rZtW5w8eRIjRoyAXq/Hvffei02bNildFhGRKjDEEKmcv78/du7ciYceeghGoxEPPfQQPvjgA6XLIiJSHEMMkUrt2rULOTk5AACtVot169Zh+vTpEAQB06ZNw8cff6xwhUREyvJRugAiashkMmHKlCkoKCjA9u3bMXr0aHh7e2PlypXw9fVFeno6qqqqlC6TiEhRDDFEKrR9+3bk5+cjLCwMw4YNk45rNBr84x//ULAyIiL1YHcSkQqtXLkSADBlyhT4+/srXA0RkToxxBCpTG5uLrZt2wYAmD59us3zKisrcebMGVeVRUSkOgwxRCqzevVqCIKAu+66C507d5Y9Z8uWLQgNDcXjjz/u4uqIiNSDIYZIRTZu3IiFCxcCAJ5++mmb5/Xq1QtmsxlHjhxBdXW1q8ojIlIVhhgilbh69apVcImLi7N5bmJiIhISEmA0GnHo0CFXlEdEpDoMMUQq8dprr+HKlSvSv6dMmYLr16/bPH/48OEAwD2ViKjVYoghUoFjx45JM5I2bdqEmJgYnD59GrNnz7b5NQwxRNTaMcQQKcxsNuOZZ56B2WzGww8/jAcffBAfffQRAOCdd97B9u3bZb9ODDGHDh2CXq93Wb1ERGrBEEOksA8//BCHDx9GYGAgMjMz8dRTT2H06NF49tlnAQBTp05FWVlZg6/r3LkzIiMjUVtbi/T0dFeXTUSkOIYYIgWVlZXh5ZdfBgBMmjQJGRkZOHToEDQaDZYsWYIuXbqguLhYdr0YjUaDV155BStWrEBKSoqrSyciUhy3HSBS0Msvv4zLly+jd+/eSExMBAD07NkTABAQEIBPP/0UgwYNwueff47MzEz06NHD6utnzZrl8pqJiNRCVS0xRqMRr732GpKTk+Hv748OHTpg/vz5MJvNSpdG5HCXL1/GmjVrAAArVqxAZmYmgBtrwIj69euHkSNHAgD27t3r8hqJiNRMVSFmyZIlWLVqFd555x2cOnUKS5cuxbJly/D2228rXRqRw/34448QBAGdO3fGkCFD8PPPPwOwDjEAkJaWBsB2iMnKysKqVatw9uxZ5xZMRKQyqgoxBw8exK9+9SuMHz8eSUlJ+M1vfoPRo0fjyJEjSpdG5HDiInWDBg1CbW0tsrKyANgOMfv27ZO9zgsvvICnn34aW7ZscWK1RETqo6oxMWlpaVi1ahXOnDmDzp0748SJE9i3bx/eeust2fP1er3V1NLKykoAgMFggMFgcGht4vUcfV2y1pru88GDBwEAqamp+Pnnn2EymRAWFoZ27dpZvf7+/fvD29sbBQUFyM7ORkJCgtV1hg4diq+//hq7d+/GzJkzm/Tcrek+K4n32TV4n13HWffa3uupKsTMnj0bFRUV6NKlC7y9vWEymfCXv/wFDz/8sOz5ixYtwrx58xoc37FjBwICApxS486dO51yXbLm6ffZbDbjwIEDAG58eHfs2IGYmBhERETgm2++aXB+hw4dcPbsWbz77rsYMWKE1WPe3t4AgN27d+Prr7+Gl1fTG1g9/T6rBe+za/A+u46j73Vjq5M3RiMIguDQSlrgX//6F1588UUsW7YM3bt3x/HjxzFr1iz87W9/k92tV64lJj4+HmVlZQgJCXFobQaDATt37sSoUaOg1Wodem26qbXc56ysLPTs2RN+fn4oLy+XXqvJZJJCiaUXX3wRy5cvx1NPPYV33nnH6jGDwYDIyEhUV1fj2LFjDWYwyWkt91lpvM+uwfvsOs6615WVlYiIiEBFRUWzfn+rqiXmxRdfxMsvv4yHHnoIwI2ppnl5eVi0aJFsiNHpdNDpdA2Oa7Vap72RnXltusnT7/OxY8cAAAMGDLBqNbT1mocPH47ly5fjwIEDDc7RarXo27cv9u3bh1OnTqFv375NrsPT77Na8D67Bu+z6zj6Xtt7LVUN7L1+/XqDpnBvb29OsSaPYzmoFwBu1SAqDu7NzMy02iRSdNtttwEAzpw548gyiYhUTVUhZuLEifjLX/6CrVu3Ijc3F1988QX+9re/4b777lO6NCKHEkPM4MGDUVpaitDQUIwcORImk0n2/MjISHTu3BkApLE0lhhiiKg1UlV30ttvv43XX38dzzzzDEpLSxEbG4vp06djzpw5SpdG5DDXr1+X1oQZPHgwMjIyUFFRgcLCQtnxMKK0tDScOXMG+/btw/jx460e+81vfoMBAwaga9euTq2diEhNVBVigoOD8dZbb9mcUk3kCY4ePQqTyYTY2FjExcVh8+bNABquD1NfWloa1qxZI7voXXJyMpKTk51SLxGRWqmqO4moNbDsSgJgc6Xe+oYNGwYASE9PR21trRMrJCJyDwwxRC52+PBhAA1DjLjxoy0dO3ZEVFQU6urqZFex/vzzz/HKK69IezAREXk6hhgiF7OcmWQ0GvHLL78AuHVLjEajaXQLgtWrV2Px4sXSSsBERJ6OIYbIhS5cuCAN4O3fvz/OnTuH2tpaBAQEoEOHDrf8+sY2gxRnL3GGEhG1Fqoa2Evk6cSupJ49eyIwMBB1dXUYO3YstFptk7YLEMfF7N+/H2az2eprGGKIqLVhiCFyofqDenv16oVt27Y1+et79+6NwMBAVFRU4OTJk1bjaBhiiKi1YXcSkQvVDzHN5ePjg9tvvx1Aw3Ex4oJ32dnZMBqNLaiSiMg9MMQQuYjBYMDRo0cB3Nxu4PLly82+jq3BvXFxcfDz84PBYEBubm7LiiUicgMMMUQukpGRgZqaGrRt2xadO3dGdXU1wsPDERMTg+rq6iZfp3///gDQYCq1l5cXOnXqBODGLtlERJ6OY2KIXEQc1Dtw4EB4eXlJrSV6vR6BgYFNvk6XLl0AAGfPnm0wuPeTTz5B27ZtER8f77jCiYhUiiGGyEXErqSBAwcCgBRiEhMTm3WdpKQkaLVa1NTUoKCgwOrre/fu7ZhiiYjcALuTiFzk7NmzACBt0iiGmKSkpGZdx8fHBykpKQCA06dPO6w+IiJ3wxBD5CLnzp0DAGncir0hBrjZpVR/7EtZWRlef/11/P73v7e/UCIiN8EQQ+QC1dXVKCoqAgCpFSUvLw9A87uTgJvTqeu3xGg0GixYsADvvfdeswYLExG5I4YYIhfIzs4GAISFhSE0NBSAc1piwsPDERYWBuBmyw8RkadiiCFyATFQiK0wADBy5EiMHj1aWmm3OcSWGLmp1Fy5l4haC85OInKB+uNhAGDp0qV2X08MMYWFhaiqqkJwcLD0WOfOnXHo0CGGGCLyeGyJIXIBcWaSZUtMS4SGhiIyMhJAwxYXMeAwxBCRp2OIIXKB+t1J1dXVuHbtWouuaatLSexO4qq9ROTpGGKIXKB+iPnkk08QHByMSZMm2X1NcXBv/RlKYojh/klE5OkYYoic7Pr167hw4QKAhmvEtGvXzu7r2mqJ6dq1K7Kzs6XnJCLyVBzYS+RkOTk5AIC2bdtK05/t3XLAkq21YrRaLTp06GD3dYmI3AVbYoiczLIrSaPRALi50J09a8SI6m8ESUTU2jDEEDmZ3PTqlix0J6q/EaSlbdu2YfLkyVi5cqXd1yciUjuGGCInqz+9uqamBsXFxQBaFmJ8fHykYFS/S+ns2bNYv349vvvuO7uvT0SkdgwxRE5Wf2ZSfn4+ACAoKEjagsBetgb3iuGGa8UQkSfjwF4iJ6sfYnx9ffHUU09BEARpjIy9bA3uTU5OBnAzMBEReSKGGCInqq2tlcariK0jycnJeO+99xxyfVsbQcbHxwMAKioqUFFRgTZt2jjk+YiI1ITdSUROlJOTA0EQEBISgoiICIdf31Z3UlBQkDSdm60xROSpGGKInEhuenVhYWGLtxwQ1d8I0pK4Bg1DDBF5KoYYIieqPx4GAP7nf/4HwcHB+PLLL1t8/cY2gkxISICXlxfKyspa/DxERGrEMTFETiROr5ZbIyYuLs4hz3HbbbehtLQUp0+fRv/+/aXja9euRVBQEHx8+DEnIs/ElhgiJ6rfEqPX61FUVASgZVsOWLI1uLdt27YMMETk0RhiiJzI1hoxAQEBDhvoa2twLxGRp2OIIXISvV4vhZb6u1cnJia2eI0YkdgSU3+tmAsXLmDSpEm47777HPI8RERqw7ZmIic5f/48zGYzgoKCpMG3jtj4sT6xJUbcCNLL68bfJt7e3tiwYQO8vLxgMBig1Wod9pxERGrAlhgiJ5GbXu2IjR/rs7URZFRUFHx9fWE2m6VxOEREnoQhhshJ5KZXDxw4ENOmTcPIkSMd9jw+Pj7Sc1iOi/Hy8pJW7hVbgIiIPAm7k4icRG569b333ot7773X4c+UYUmQAAAgAElEQVTVoUMHnDp1qkFYSUhIQHZ2Nhe8IyKPxJYYIieRa4lxFrF7SuyuEnHVXiLyZAwxRE5SP8QYjUb88ssvqK6udvhziSHm/PnzVscTEhIAsDuJiDwTu5OInKCurk5qFRFDTF5eHrp37w4/Pz9cv37dYVOsAdstMeLWA9evX3fYcxERqQVDDJET5OXlwWw2IyAgADExMdIxwLFrxIhshZhHHnkEjz/+OFfuJSKPxO4kIicQx6BYBhZnTK8Wide8ePEiamtrpeM6nY4Bhog8FkMMkROI67WIU5wB54aY8PBwBAUFAeAgXiJqPRhiiJxADBKWIUY8Jg62dSSNRmOzS+nZZ59FWloaTp486fDnJSJSEkMMkROILTGWgaWwsBAAEBcX55TntBViDh8+jP379yM7O9spz0tEpBSGGCInkOtOEkNMbGysU57zVmvFcJo1EXkajvgjcgK57qQnnngCZ8+eRefOnZ3ynI1Ns7asiYjIUzDEEDmYIAiy3UkvvPCCU5+XIYaIWht2JxE5WEVFBa5duwbAeeNf5HDrASJqbRhiiBxMDAvh4eEICAgAAFy5cgWnTp1CVVWV057X1lox3HqAiDwVQwyRg8l1JW3btg3dunXDr371K6c9b1hYmLRWjGVgEbce8PX1hdFodNrzExG5GkMMkYPJzUwqKioCALRv395pz2trrZiIiAjo9Xrk5uZy9V4i8igMMUQOJjczydnTq0VyIUaj0TC8EJFHYoghcrDGFrpzZksMACQnJwNoOLiXiMgTMcQQOZgSC92JbM1Q+uCDDzBs2DC8/fbbTn1+IiJXYhszkYPJdSe5YkwMYDvEXLx4Efv27cNtt93m1OcnInIltsQQOZDZbMaFCxcA3OxOMpvNiocYTrMmIk/ElhgiByotLYXBYICXl5fUdWQ0GvH666+jsLAQ0dHRTn1+McQUFxejpqYG/v7+ALhqLxF5JoYYIgcSQ0JMTIw0I8jX1xevv/66S54/NDQUwcHBqKqqQn5+vtR9ZBliBEFwSS1ERM7G7iQiB5KbmeRKttaKiYuLg0ajQW1tLcrKyhSpjYjI0RhiiBzI1kJ3zt5ywJJciNHpdFJXFsfFEJGnYIghciC5mUnvv/8+unXr5vRdrEW2Bvd26NAB8fHx0uaURETujmNiiBxIrjtJnJnk7DViRGKIOX/+vNXxvXv3QqPRAAAMBoNLaiEicia2xBA5UGML3Tl7erXIVkuMGGCIiDwFQwyRAzW2b5KrQgy3HiCi1oIhhshB6urqUFxcDEAd3UklJSWoqamRjh88eBDDhg3DQw895JI6iIicTXUhprCwEI888gjCw8MREBCAPn364OjRo0qXRXRLRUVFEAQBOp0O7dq1AwDo9XpcunQJgOtaYtq2bYuQkBAA1jORzGYz9u3bh/T0dJfUQUTkbKoKMVeuXMHQoUOh1WrxzTff4JdffsFf//pXtG3bVunSiG5J7EoS12QBILXM6HQ6hIeHu6QOW2vFiCHqwoULXPCOiDyCqmYnLVmyBPHx8fjoo4+kY+IPYyK1k5uZ5O/vj/nz56O2ttalA2uTkpLw888/W4UYsTurrq6OC94RkUdQVYj56quvMGbMGDz44IPYs2cP2rdvj2eeeQbTpk2TPV+v10Ov10v/rqysBHBj+qijp5CK1+PUVOdy5/ssBob27dtL9YeGhuLll18G4NrXJAap7Oxs6Xk1Gg2ioqJQUlIidTO54312J+78fnYnvM+u46x7be/1VBVicnJysHLlSjz//PP405/+hB9//BHPPfccdDodHnvssQbnL1q0CPPmzWtwfMeOHQgICHBKjTt37nTKdcmaO97nffv2AbgRrrdt26ZoLdevXwcAHDp0yKqWwMBAAMDWrVuRmprqlvfZHfE+uwbvs+s4+l6LP7OaS1Uhxmw2Y8CAAVi4cCEAoG/fvjh58iRWrlwpG2JeeeUVPP/889K/KysrER8fj9GjR0sDGx3FYDBg586dGDVqFLRarUOvTTe5831+//33AQB33HEHxo0bBwA4e/YsDAYDEhMTpQDhCnV1dVizZg30er1UCwB88MEHyMnJQWRkJAC45X12J+78fnYnvM+u46x7LfakNJeqQkxMTAy6detmdaxr16747LPPZM/X6XTQ6XQNjmu1Wqe9kZ15bbrJHe+zuB5MUlKSVPtf/vIXrF+/HsuWLXPZtgMA0LFjRwA3xulY3seOHTsiISFB2mHbHe+zO+J9dg3eZ9dx9L2291qqmp00dOhQZGVlWR07c+YMEhMTFaqIqOnUsNCdSKyhuLjYatzYW2+9hby8PJvjzIiI3ImqQswf/vAHHDp0CAsXLsS5c+ewfv16vP/++5gxY4bSpRE1qrq6GleuXAFgPTtJDDGuWuhOFBERAT8/P6saiIg8japCTGpqKr744gts2LABPXr0wBtvvIG33noLkydPVro0okaJ06tDQkKk8ViCIEir9bq6JUaj0UitMWJtRESeRlUhBgAmTJiAjIwM1NbW4tSpU2z2Jrcg15VUUVEhjbh3dYgBbrYIibUBN7qX0tLS0Lt3b5fXQ0TkaKoa2EvkruQWuhNbYUJDQ+Hv7+/ymuRCTHBwMPbv3w/A/imNRERqobqWGCJ3JIYYuUG9rh4PI5LrTgoMDJS28SgvL1ekLiIiR2FLDJEDiK0dli0xycnJeOONNxy+ZlFTybXEADf2drp69Sq3HiAit8cQQ+QAFy5cAHAjIIhSUlLw2muvKVWSzYG97du3R2ZmJi5fvqxEWUREDsPuJCIHkAsxSmusJQYAW2KIyO0xxBA5gNyidsePH8fJkydRU1OjSE1iS0xlZSUqKiqk42KI4ZgYInJ3DDFELXTt2jVp3w/LEDNt2jT06NEDO3bsUKSuwMBAhIWFAbDuUkpMTERCQoIiM6aIiByJIYaohcRWmODgYAQHB0vHlVrozpJcl9LUqVNx7tw5TJ06VamyiIgcgiGGqIXkupKMRiOKi4sbHHc1rtpLRJ6MIYaoheRCTElJCcxmM7y9vREZGalUaTYH9xIReQKGGKIWkgsxYldSVFQUvL29FakLsB1ixo0bh2nTpiE7O1uJsoiIHIIhhqiF5ELMxYsXASi3Wq/IVndSbm4uLl26xB2uicitMcQQtZCaQ8yt1ooR17chInJHXLGXqIXkQkxqaioWLFiADh06KFUWgJstMRcuXIDZbIaX142/W8Ra2RJDRO6MIYaoheRCTL9+/dCvXz+lSpLExsbCy8sLBoMBJSUliImJAXCzVnHsDhGRO2J3ElELmEwmVUyltsXHx0eqy7JLSTzG7iQicmcMMUQtUFJSApPJBG9vb0RFRUnHDx06hMzMTOj1egWru0FucC+7k4jIEzDEELWAGAKio6OtplLff//96NmzJ06ePKlUaRK5wb3x8fFo166d1L1EROSOOCaGqAXkxsOYTCaUlJQAUH52EnCzJcYyxPTt2xerV6/GuHHjlCqLiKjF2BJD1AJyIaa0tFSaCdSuXTulSpOILTHceoCIPA1DDFELNLZGTP0uJqXItcQQEXkChhiiFmhsywG1jDex1RKzatUqpKSk4IsvvlCiLCKiFmOIIWqBxlpi1BZiSkpKUFtbKx2vqqpCfn4+8vLylCqNiKhFGGKIWqCxlhg1DOoFgLCwMPj7+wOwXhcmPDy8wTEiInfC2UlELSAXYkaNGgWtVos+ffooVZYVjUaDhIQEZGVloaCgACkpKQCAiIgIAFwrhojcF0MMkZ2qqqpQVVUFwDrEDBkyBEOGDFGqLFnx8fHIysqyGtwbFhYGgC0xROS+2J1EZCexBSMkJARBQUEKV9M4ucG9YksMQwwRuSuGGCI7yXUlAcDu3buRkZEBg8GgRFmy5FbtFcfEFBUVwWw2K1IXEVFLsDuJyE62Vuu9++67YTKZUFhYqJrBvXJrxYSGhiIpKQmxsbGorq5GcHCwUuUREdmFIYbITnIh5tKlSzCZTNBoNIiMjFSqtAbkupN8fHxw5swZaLVapcoiImoRdicR2amxNWIiIyPh46OevxEsW2IEQVC4GiIix2CIIbKTOCBWzWvEiMQQc+3aNVRUVChcDRGRYzDEENnJHVbrFQUEBEizkSzHxbz11ltITEzEnDlzlCqNiMhuDDFEdnKH1XotyQ3uNRqNyM/PR25urkJVERHZjyGGyA5GoxElJSUA3KMlBpCfZi3WzrViiMgdqWfkIZEbKS4uhtlshre3t9UspAcffBAJCQkYNmyYgtXJk5uhxBBDRO6MIYbIDmJXUkxMDLy9vaXjd955J+68806lymrUrVpiBEGARqNRpDYiInuwO4nIDrZW61WzxkJMTU0Nrly5okhdRET2YoghsoNciDGbzfj222+RkZEBk8mkVGk2yYUYPz8/7qFERG6L3UlEdpALMWVlZbjnnnsAAHV1dVbdTGoghpjCwkIYjUbp+KBBg3D16lVVBi8iosYwxBDZobE1Ytq1a6fKpfyjo6Oh1WphMBikWgHg66+/VrAqIiL7tag7yWAwoKCgAFlZWbh8+bKjaiJSPXdbIwYAvLy8EBcXB8B6hhIRkbtqdoi5du0a3nvvPYwcORJt2rRBUlISunXrhnbt2iExMRHTpk1Denq6M2olUg13Wq3XktyCdyLuqURE7qZZIebvf/87kpKSsHr1atx55534/PPPcfz4cWRlZeHgwYOYO3cujEYjRo0ahXvuuQdnz551Vt1EihEEodEQo9aWGEB+rZitW7ciISEB48ePV6osIiK7NGtMzIEDB7Br1y707NlT9vGBAwfiiSeewKpVq/Dhhx9iz5496NSpk0MKJVKLyspKVFdXA5DvTlJzS4wYYi5cuIDu3bsDAHQ6HQoKChAUFKRkaUREzdasELN58+YmnafT6fDMM8/YVRCR2omtMG3atEFgYKB03B26k+SmWYvjZDjFmojcjd0De1etWoX+/fujU6dOGDNmDN577z0YDAZH1kakSrYWunvyySexcOFCpKWlKVFWkzS29UBVVRUqKysVqYuIyB52hZivvvoKzzzzDPz8/DBgwABUV1djxowZGD58OMrKyhxdI5GqiCFGbMEQjRs3Dq+88gp69+6tRFlNIhdigoOD0aZNGwA3XxsRkTuwK8R8/PHH+Pjjj7F//35s2LAB+/btQ3Z2NkJCQjBq1CgumkUeTex2cactB0Ti7KQrV66gpqZGOs4uJSJyR3aFmKtXr+LRRx+1OpaYmIivv/4aer0e69evd0hxRGok1xJz/fp1bN++HT///LNSZTVJSEgI2rZtCwBWraYMMUTkjuwKMaGhobLHtVot3njjDWzatKlFRRGpmVxLTHZ2NsaOHYu77rpLqbKaTOxSunTpknSsX79+SEtLQ0hIiFJlERE1m10h5ueff8a5c+dkHxs/fjxOnjzZoqKI1EyuJcYdpleL5ELMwoULsXfvXjzwwANKlUVE1Gx2hZiLFy/itttuQ8+ePTF37lwcO3ZMeszPz89q2imRp5FriXGHhe5EYojhIHwicnd2hZj27dvjnXfeQa9evfCPf/wDqampSExMxKxZs/Cf//wHVVVVjq6TSBX0er3UguFJLTEis9ns6nKIiOxmV4gZMmQIpk6dik8//RSXLl3Ctm3bMHbsWGzevBmjR4/m5nLkscSwotPpEB4eLh13h4XuRHIhJicnBwkJCW7RkkREJLIrxMycORNffPEFAMDHxwdjxozBqlWrUFhYiD179kjTOIk8jeVCdxqNRjruji0xlt1JYWFhKCgoQElJidXUayIiNbMrxPTt2xcpKSmyjw0bNgzbt29vUVFEaiWOh6m/0J0YYtxh7RgxxJSXl0vdR5ZbKHDBOyJyF3ZvO5CammrzsS5duth7WSJVs7XlwEsvvYRFixahb9++SpTVLDExMfDy8oLRaERJSQkAQKPRcK0YInI7zdoAMjk52aoJvalmzZqF5557rtlfR6Q2tlpi7rvvPiXKsYuPjw/at2+PgoICFBQUSC0zcXFxyMrKYoghIrfRrBCzdu1au54kKSnJrq8jUhtbLTHuJj4+HgUFBcjPz8fQoUMBcNVeInI/zQoxI0aMcFYdRG5BriXm0qVLOHLkCJKSktC1a1elSmsWcfC95UxChhgicjd2j4nhNGpqjeQWujt06BDGjRvXYD8xNZMLMd27d0daWhqSk5OVKouIqFma1RJjKTExEaGhoejduzd69+6NPn36oHfv3tDr9Xj33Xfxz3/+05F1EinOZDJJ68FYtsS4YxeTOA4mPz9fOvbwww/j4YcfVqokIqJmszvE5OTk4Pjx4zh+/Dh++ukn/Pvf/5ammXITOfJEpaWlMBqN8PLyQnR0tHTcnaZXi+RaYoiI3I3dISYpKQlJSUn49a9/LR07ePAgHn/8cSxZssQhxRGpidjiEh0dDR8fnwbH3Wm128ZCjMlkgpeXl10zEYmIXMnuMTFybr/9dixfvhwLFixw5GWJVEFuPAzg3t1JZWVluH79OgBAEAR06tQJOp0OeXl5SpZHRNQkdocYg8Ege7xTp044efKk3QURqZUYVtx5tV5RmzZt4O/vD+Bma4xGo4HZbIbJZOIMJSJyC3aHmMDAQPTp0wdTp07F8uXL8cMPP+DcuXN4++23MXr06BYXtmjRImg0GsyaNavF1yJyBE9qidFoNGjXrh0A68G9nGZNRO7E7jEx33//PU6cOIETJ07g008/xZ/+9Cdp47jRo0fj1VdfRa9evdCrV69mr52Rnp6O999/H7169bK3PCKHk2uJEQQBy5cvx4ULF6QuGncRERGB/Px8hhgiclt2h5i0tDSkpaVJ/zabzcjKypJmLB09ehRr1qxBaWkpTCZTk6977do1TJ48GatXr+bYGlIVuZYYjUaDRx55RKmSWkRsibEc3MtZS0TkTuwOMfV5eXmha9eu6Nq1q9VaE+IGc001Y8YMjB8/HnfffTdDDKmKrTEx7ioiIgKAdXeS2JrEgb1E5A6aFWLy8/Ob1WReWFjYrHEC//rXv3Ds2DGkp6c36Xy9Xg+9Xi/9u7KyEsCNQce2Bh7bS7yeo69L1tR6nwVBkFpioqKipPqys7Nx5swZpKSkoFOnTkqW2CwGg0FqicnLy5Nej/h5tTxG9lPr+9nT8D67jrPutb3Xa1aISU1Nxb333otp06Zh4MCBsudUVFRg06ZNWL58OaZPn46ZM2c26doFBQX43//9X+zYsQN+fn5N+ppFixZh3rx5DY7v2LEDAQEBTbpGc+3cudMp1yVrarvP165dk6YiZ2Rk4MyZMwCAL7/8EmvXrsWwYcPwxz/+UckSm01siTl9+jS2bdsG4EaXWdeuXREdHS0do5ZT2/vZU/E+u46j77X487W5NIIgCE09+fLly1i4cCHWrFkDrVaLAQMGIDY2Fn5+frhy5Qp++eUXnDx5EgMGDMBrr72GsWPHNrmQL7/8Evfddx+8vb2lYyaTCRqNBl5eXtDr9VaPAfItMfHx8SgrK3P4qsEGgwE7d+7EqFGjoNVqHXptukmt9zkzMxP9+vVDWFgYiouLpeMvvvgili9fjueffx6LFy9WsMLmMRgMWLduHaZPnw6dToeKigp4eTl02SiCet/Pnob32XWcda8rKysRERGBioqKZv3+blZLTFhYGN58800sWLAA27Ztw969e5Gbm4uamhpERERg8uTJGDNmDHr06NHsF3DXXXchIyPD6tjUqVPRpUsXzJ49u0GAAQCdTgedTtfguFarddob2ZnXppvUdp9LS0sB3OhusazLci8lNdXbFBEREfD29oZer0d5eblbrTjsbtT2fvZUvM+u4+h7be+17BrY6+fnh/vvvx/333+/w9bICA4ObhB+AgMDER4eblcoInIkcTyMJyx0J/L29kZ8fDxyc3ORm5trFWKMRiNMJpPsHwlERGphd/vx/v37kZycjISEBCQkJCAqKgqzZ8+WBtcSeRJbYd0dF7qzlJiYCAA4f/68dGzq1KnQ6XRYu3atQlURETWN3SFm+vTp6N69O9LT0/Hzzz9j2bJl+O6779C/f3+UlZU5pLjdu3fjrbfecsi1iFpCriVGEASpJcZdu2KSkpIAALm5udKxgIAAmM1mq6nXRERqZHeIyc7Oxt///nf069cP3bt3x2OPPYb09HT06dMHzz33nCNrJFKcXItLeXm5NLDcXUOMXEuMeIxrxRCR2tm92F3Xrl1RXFxstTaGRqPB/PnzbU6/JnJXci0xfn5++OSTT1BWVua2Y0fEwGLZEiOuBcWWGCJSO7tDzJQpU/DUU0/h22+/tVoAr6KiAm3atHFIcURqIdcSExQU5LZbDoiSk5MBsCWGiNyT3SFG3F26c+fOuP/++9GnTx+YTCasW7cOy5Ytc1iBREqrqalBeXk5AM/ZckAkBpb8/HyYTCZ4e3tLf5QUFhbCaDTCx8dhu5MQETmU3T+diouL8dNPP+HEiRM4fvw41q5di7Nnz0Kj0WDx4sXYunWrtIv1Pffc48iaiVxKHLzr7++Ptm3bSsePHTuGixcvomfPnm63g7UoNjYWWq0WBoMBhYWFSEhIQExMjHSsqKjIbV8bEXk+u0NMZGQkxowZgzFjxkjHamtrkZGRgePHj+PEiRP46quvsHDhQly9etUhxRIpwXI8jEajkY6/9957eP/99zF37lz8+c9/Vqi6lhFbXrKzs5Gbm4uEhAR4eXnh17/+NbRaLZqxoDcRkcs5tJ3Yz88PqampSE1NdeRliRTlqWvEiJKTk6UQM3z4cADApk2bFK6KiOjWuFkK0S144mq9lsS1YiwH9xIRuQOGGKJbsBVixJYYd10jRiTOULKcZg3c2HqAXcFEpGYMMUS3INdtVFdXZ7UppDuTa4lZv349dDodJk+erFBVRES3xhBDdAtiS4xlWCkuLgYA+Pr6IiIiQpG6HEWuJSYiIoJbDxCR6jHEEN1CQUEBAFhNNbbsSrKcseSOxJaYgoICGAwGANYL3nGGEhGpFVexImqEXq/HxYsXAViHmI4dO2LdunUe8Qs+KioKOp0Oer0eFy5cQHJyMuLj4wEAVVVVqKiosFofh4hILdgSQ9QIsSvJ39/fqtsoMjISkydPdvttBwDAy8urwbiYgIAA6fVy+wEiUiuGGKJGiL/AExIS3L7bqDFiiLEcF2O5JQERkRoxxBA1QvwFXn/p/V27dmHr1q3SAF93J7cRpPia2RJDRGrFEEPUCPEXuNgqIZo/fz4mTJiAXbt2KVGWw8m1xNxxxx2YNGkSOnbsqExRRES3wIG9RI2w1RLjKQvdieSmWc+cORMzZ85UqCIioltjSwxRI+RaYgRB8Jh9k0TceoCI3BFDDFEj5FpiKioqcP36dQCeE2LElpiioiLo9XrpuNFolGZoERGpDUMMkQ2CIEghxrIlRmyFCQ0Nhb+/vyK1OVpERAQCAgKsXnN5eTl0Oh3i4+Otgg0RkVowxBDZUFpaCr1eD41GY9Xi4mnjYQBAo9E0GBcTFhYGX19fADdfMxGRmjDEENkgtkjExsZKv8wtj9efseTu6o+L0Wg0nGZNRKrG2UlENlgudGfp7rvvxqeffoqwsDAlynIauRlKCQkJOHPmDBe8IyJVYoghssFWi0tSUpLUauFJ5GYoWW4ESUSkNuxOIrLBVkuMp5Jb8E587WyJISI1YoghssFWS8wnn3yCrVu3orq6WomynEZu6wG2xBCRmrE7icgGuZYYk8mEJ554AkajEQUFBQgMDFSqPIcTW2JKSkpQU1MDf39/9OzZEw8//DBSU1OVLY6ISAZDDJENci0xFy9ehNFohI+PD2JiYpQqzSlCQ0MREhKCyspK5OXloUuXLujXrx/Wr1+vdGlERLLYnUQko7q6GuXl5QCsW2LE1pm4uDh4e3srUpuzaDQabj9ARG6FIYZIhtgK06ZNG7Rp06bBcU9bI0YkNy7GZDIhNzcXV69eVaosIiJZDDFEMmzNTPL0GUtiiMnOzpaOjRs3DsnJyfi///s/pcoiIpLFEEMkQ27jR0B+V2tP0rlzZwDA2bNnpWNiF5NlsCEiUgOGGCIZtsKKrXDjKTp16gQAOHPmjHSsY8eOAIBz584pUhMRkS2cnUQkw1ZYeeONNzBp0iTcfvvtSpTldGJLTE5OjjQLKyUlBQBbYohIfRhiiGTYaonp168f+vXrp0RJLhEXFwc/Pz/U1tYiLy8PHTt2lFpiGGKISG3YnUQkw9O7jWzx8vKSWl7EcTFiiCkvL+cMJSJSFYYYonpMJhMuXLgAwLolprCwECtWrMB3332nVGkuUX9cTFBQEKKiogCwNYaI1IXdSUT1FBUVwWQywcfHB9HR0dLxo0ePYsaMGRgwYADS09MVrNC55GYoTZs2DSaTCaGhoUqVRUTUAEMMUT1iV1J8fLzVqryevkaMSG6G0htvvKFUOURENrE7iaieWy1056lrxIjkWmKIiNSIIYaoHltbC3j6lgMisSUmLy8Per0eAGA2m1FQUICffvpJydKIiKwwxBDV01q3HBBFRUUhODgYZrMZOTk5AID09HQkJCRgwoQJCldHRHQTQwxRPbZaXFpLd5JGo2kwLkacdl1UVISamhrFaiMissQQQ1SPXItLbW0tSkpKGhz3VPXHxYSFhUm7eYutM0RESmOIIbIgCIJsi4u3tzf27t2LTz/9FOHh4UqV5zL1W2I0Go3UGsM9lIhILTjFmsjC1atXce3aNQA3pliLtFot0tLSlCrL5eRmKHXs2BFHjx7lgndEpBpsiSGyII6HiYiIQEBAgMLVKEdurRhuBElEasMQQ2TB1uDd//znP1i5ciUyMjKUKMvlxBBTVFQktUyJeyixO4mI1IIhhsjC+fPnATQMMZ9++imeeeYZbNmyRYmyXC4sLEwa+yOGlkGDBmH27Nl48sknlSyNiEjCEENkQRwDIrZEiFrL9GpL9cfFdO/eHYsXL8aDDz6oZFlERBKGGEZrxCoAACAASURBVCILYquDrRDTGqZXi+TGxRARqQlDDJEFsdVBHMQK3FxyH2jdLTEAUFxcjD179uDChQtKlUVEJGGIIfqvuro65ObmArBuiSkuLobBYIC3tzdiY2MVqs71xHtgGWKmT5+OkSNH4quvvlKqLCIiCUMM0X/l5ubCbDYjICAAMTEx0nGxK6l9+/bw8Wk9SyuJLTGcZk1EasUQQ/Rf4niYlJQUaDQa6XhrHA8D3AwsZWVluHLlCgBOsyYidWk9f1YS3YLceBgAuOeee7B3716rYNMaBAUFITY2FkVFRTh79iwGDhwohRi2xBCRGrAlhui/bM1Matu2LdLS0jB06FAlylJU/XExYsDLycmB2WxWrC4iIoAhhkhiqyWmNas/LiYhIQHe3t6oqanBxYsXlSyNiIghhkhkqyVm6dKleO+991BeXq5EWYqq3xKj1WqlaebsUiIipXFMDBEAg8EgTa+uv0bMnDlzoNfrcffdd0tL8bcWcjOUXn75ZZjNZml8DBGRUhhiiHBjerXJZIK/v7/VWjAFBQXQ6/VWLRCtiWVLjCAI0Gg0mDZtmsJVERHdwO4kIliPh7GchSS2QHTs2LFVrREj6tixI7y9vVFZWYnCwkKlyyEissIQQwTb42HEEHPbbbe5vCY10Ol00mvPyMgAcGNl4wMHDmDDhg1KlkZExBBDBNiemSSGGHFsSGvUq1cvADdDzOXLlzF06FA88sgjqK2tVbI0ImrlGGKIcDPE2GqJac0hpmfPngCAn3/+GQAQFRWF8PBwmM1mnD59WsnSiKiVY4ghgvWWA5YYYm62xIghRqPRoHv37gCAzMxMxeoiImKIoVbPcnp1/ZaY/fv3Y8+ePejbt68ClamDGGJOnTqFuro6AECPHj0AMMQQkbJUFWIWLVqE1NRUBAcHIzIyEr/+9a+RlZWldFnk4SynV1vuXg0A0dHRGD58OIKDgxWqTnnx8fFo06YNjEaj9HlkiCEiNVBViNmzZw9mzJiBQ4cOYefOnTAajRg9ejSqq6uVLo08mOWgXi8vVX0kVEGj0TQYF8PuJCJSA1X9xN6+fTumTJmC7t27o3fv3vjoo4+Qn5+Po0ePKl0aeTBb42G+/PJLzJ49G7t371agKnWpPy5GDDF5eXmoqqpSrC4iat1UvXpXRUUFACAsLEz2cb1eD71eL/27srISwI0xDgaDwaG1iNdz9HXJmhL3Wewi6dChg9XzbtmyBWvWrIGvr6/H7WDd3PsshpYTJ07AYDAgJCQEK1askFqv+LmQx58brsH77DrOutf2Xk+1IUYQBDz//PNIS0uT+t/rW7RoEebNm9fg+I4dOxAQEOCUunbu3OmU65I1V97nQ4cOAQBqa2uxbds26fjhw4cBANXV1VbHPUlT77PY2pKeni7di9jYWFy/fh3/+c9/nFafp+DPDdfgfXYdR9/r69ev2/V1GkEQBIdW4iAzZszA1q1bsW/fPsTFxcmeI9cSEx8fj7KyMoSEhDi0HoPBgJ07d2LUqFHQarUOvTbdpMR97tq1K7Kzs7Fz506MGDFCOp6QkIDi4mIcPHgQ/fv3d0ktrtLc+1xVVSVtfnnx4sVWtxGmvfhzwzV4n13HWfe6srISERERqKioaNbvb1W2xMycORNfffUVfvjhB5sBBrixJLpOp2twXKvVOu2N7Mxr002uus+W06u7du0qPWdlZSWKi4sBAN26dfPY73lT73NYWBiSk5Nx/vx5nD59GiNHjsSlS5ewfft21NbWclPIW+DPDdfgfXYdR99re6+lqoG9giDg2Wefxeeff47vv/8eycnJSpdEHs7W9GpxxlJ0dLTDW/XcVf3BvTk5OXjssccwd+5cJcsiolZMVSFmxowZWLduHdavX4/g4GAUFxejuLgYNTU1SpdGHspyZpLl9Gqu1NtQ/RDTrVs3ADe6l8rLyxWri4haL1WFmJUrV6KiogIjR45ETEyM9N/GjRuVLo08lK2NH8VwwxBzU/21YoKDg5GYmAgAOHnypGJ1EVHrpaoxMSodY0weTAwr9bcbePXVVzF16lSYzWYlylIlsSXm5MmTMJlM8Pb2Ro8ePZCXl4fMzEwMHz5c4QqJqLVRVUsMkavZaonx8vJCXFwcEhISlChLlVJSUuDn54fr168jJycHwM3tB9gSQ0RKYIihVs1WSww1JLa8ANx+gIjUgSGGWi3LFoXbbrtNOl5aWooHH3wQr7/+Ors466k/uNdyI0jeKyJyNYYYarUyMzNhNpvRrl07REdHS8dPnz6Nf//73/j000+h0WgUrFB9xMG9GRkZAG7MUNq2bRuOHz+uZFlE1EqpamAvkSudOHECANC7d2+rsMLp1bbVb4nR6XQYO3askiURUSvGlhhqtSxDjCWGGNvElpjs7Gxcu3ZN4WqIqLVjiKFWiyGm+dq1ayetbCwO5s3MzMTcuXOxcuVKJUsjolaIIYZaJUEQpC6RPn36WD0mhhjLwb50U/1F73755RfMnz8fH3/8sZJlEVErxBBDrVJubi4qKyvh6+uLLl26SMdNJhNX670FcVyMOJhXnGZ98uRJzlAiIpdiiKFWSexKqr9DdVFREby8vKDT6RAfH69Ueao2cOBAAMDBgwcB3Ah7Wq0W165dk3YEJyJyBYYYapVsjYeJj49HdXU1cnJyrDaEpJuGDBkC4EZ3UlVVFbRardQ6c/jwYSVLI6JWhj+lqVUSu0Lqhxjgxsq0sbGxri7JbbRv3x6JiYkwm81SaBGDjdg6Q0TkCgwx1CrZaomhphk6dCgAYP/+/QCA22+/HQBDDBG5FkMMtTqVlZU4f/48gIYhZuzYsZg8eTLy8/OVKM1t2Aox58+fh8FgUKwuImpdGGKo1RGnBsfFxSE8PFw6XlFRge3bt2P9+vUIDAxUqjy3IHYfHTp0CCaTCYmJiTh58iRKSkqsBkoTETkTQwy1Ora6ko4dOwYASExMtAo31FDPnj0RHByMqqoqZGZmQqPRoFu3bhwMTUQuxZ841OrYCjFHjx4FAPTv39/lNbkbb29vDB48GMDNLiUiIldjiKFWhyHGMcQuJTHElJSU4JFHHsHtt9/ORe+IyCW4izW1KiaTCRkZGQAYYlpKHNx74MABAECbNm2wadMmGAwG5ObmIjk5WcnyiKgVYEsMtSrnzp1DTU0N/P39kZKSIh2vqKjA2bNnATDENNXgwYPh5eWF3NxcFBUV/X97dx7W1JX/D/wdsrDvCARBFHEUCyJqaa20qFXRVtQuOo6K1OpT97VuHW21rq222latVepUOnW0Ux20z4hbte6KikSrUIts+qsggixJCGQ7vz+Y3K9hT4CEhM/refK03Nxz8rmHmHw49yyws7NDREQEAJpqTQgxDUpiSLuiW+QuLCwMfD6fO15QUICwsDAEBQXBy8vLXOFZFGdnZ26lXlovhhBiDpTEkHZFNx6m5s7V3bt3x+3bt3Hv3j1zhGWxao6LoSSGEGJKlMSQdqWxlXoFAhomZoia42J0ScytW7dQUVFhtrgIIe0DJTGkXakvidFoNOYIx+Lpkpi0tDRUVFQgICAAfn5+UKvVuHHjhpmjI4RYO0piSLtRXFyMP//8EwC4sRxA9TYEzs7OeOGFF6BQKMwVnkXq1KkTl7Rcu3YNPB4PUVFRCA8Pp7YkhLQ6SmJIu6HrhQkKCoKzszN3PC0tDQqFAvn5+bC3tzdXeBaJx+PV2kdp//79kEgkiImJMWdohJB2gJIY0m6kpaUBoPVhWlrNcTG09QAhxFRoFCNpN86fPw8A3HL5OpTENM+zSYxWq+WSmKqqKjDGYGdnB6B63FF72+FapVJBIBCgsrKSxl21Impn0zG2rYVCod6yFi2FkhjSLmg0Gpw7dw4AMHjwYL3nKIlpnvDwcDg4OKC0tBS3bt1CREQEpk+fjr1792LPnj2YOHEiCgoKUFpaau5QTY4xBl9fXzx8+BA8Hs/c4VgtamfTaU5bu7m5wdfXt0V/R5TEkHYhLS0NZWVlcHV15VaVBQCpVIo//vgDACUxxhIKhRg6dCiOHDmCn3/+GREREXBwcIBSqcSVK1fw6quvorS0FN7e3nBwcGhXXzJarRYymQxOTk50m60VUTubjjFtzRhDRUUFCgsLAQBisbjF4qEkhrQLZ86cAQBER0frdWlKJBIwxuDv7w9vb29zhWfxRo8ejSNHjuDIkSNYtWoVXn75ZXzxxRc4f/48l8B4enqaO0yT02q1UCqVsLOzoy/XVkTtbDrGtrVu0kRhYSG8vb1b7NYSJTGkXfj1118B1L6VZGtrizfffJMSmGYaOXIkbGxskJaWhry8PAwdOhQikQjl5eVQqVRwcHAwd4iEEDPTfQ6oVKoWS2IoZSVWT6VS4cKFCwCAQYMG6T0XGRmJQ4cOYefOneYIzWp06NCB24Lg559/hrOzM1599VXweDxUVFS0q1tIhJC6tcbnACUxxOpdv34dcrkcXl5eCA0NNXc4Vmv06NEAgCNHjgAARo0aBQC06B0hpNVQEkOsnm48zMCBA/Xu4ZaUlCAjIwOMMXOFZlV0Scy5c+dQWlqK2NhYANVTrdvb1GpCiGlQEkOsXn3jYQ4dOoSePXvirbfeMkdYVqdbt27o2bMn1Go1kpOT0bFjR0yaNAkeHh50O6kFDRw4EAsWLDB3GEarGT9jDO+99x73PpFIJGaMrnnawu+muLgY3t7eyM3NNenrvv3229iyZYtJXxOgJIZYucrKSm45/JrjYZKTkwEAvXv3Nnlc1krXG3P48GEAwMqVK+Hs7GyRu4O/88474PF43MPT0xPDhw/H7du3zR2aRfvPf/6DtWvXcj8fP34ce/fuxX//+1/k5+db9C3fmtfW0l555RW996SHhwfGjBmDJ0+ecOds3LgRsbGx6Ny5M3fs/PnziI2NhZ+fH3g8Hvfvs6meLc/n83H06NFa53z00UdYv349ysvLjb4+Y1ASQ6zalStXUFVVBbFYjO7du3PHlUolfvnlFwDAa6+9Zq7wrI4uiTl27BiqqqrMHE3zDR8+HPn5+cjPz8fp06chEAgwcuRIc4dl0Tw8PPT2LsvKyoJYLMZLL70EX19foxJepVLZkiEaRalU1ro2Y+upC2MMEokEn332GfLz8/Hnn39i//79OHPmDNatWwegevzZnj17MG3aNL2ycrkc4eHh2L59u1ExNaV8r1690LlzZ+zbt8+o1zAWJTHEquluJQ0aNEjvlsalS5cglUrh7e2NPn36mCs8q/P8889DLBZDJpNxba/RaPD06VPIZDIzR2c4W1tb+Pr6wtfXF71798ayZcvw8OFD7i/f48ePIyoqCm5ubvD09MTIkSORlZWlV8eRI0cQHh4Oe3t7eHp6YsiQIZDL5QCqv5g2bdqEoKAg2NvbIzw8HAcPHuTKyuVyTJ48GU5OThCLxfj888+bFHdVVRXmzZsHb29v2NnZISoqCtevX+eeHzhwIObNm4elS5fCw8MDvr6+WL16dYN1du7cGV988YXesd69e+uVa0q9z95yeeeddzB37lw8ePAAPB6P6z1oSvxz5szBokWL4OXlxW02OnjwYMydOxcLFiyAu7s7fHx8sHv3bsjlckyZMgXOzs7o2rUrjh071uC16uqfM2cO97tduXKl3vi5mjEMHTq01u2kxq6jvnrqkpmZCalUioEDB8LX1xd+fn6IiYlB165duffTsWPHIBAI0L9/f72yI0aMwLp16/Dmm282eN31aWr5UaNGYf/+/Ua9hrEoiSFWTTeot+Z4GN2tpOHDh9PiWC3IxsaGG9Crm6VUVlaGR48eoaioCED1F7dcLjf5o7kDuGUyGfbt24fg4GBu4T65XI5Fixbh+vXrOH36NGxsbPDGG29Aq9UCAPLz8zFt2jRMmTIFGRkZOHv2LN58800ulpUrV+K7777Dzp07cffuXSxcuBCTJk3itshYsmQJfv31VyQlJeHkyZM4e/Yst01GQ5YuXYpDhw4hMTERN2/eRHBwMGJiYvD06VPunMTERDg6OiIlJQWbNm3CmjVrcOrUqWa1kaH1fvnll1izZg38/f2Rn5/PfcE3NX6BQIBLly7pLZGQmJgILy8vXLt2DXPnzsXMmTMxduxYvPTSS7h58yZiYmIQFxeHioqKRq9DIBAgJSUFX331FbZu3Ypvv/22znMuXbqEXbt21aqjKdfRlHqA6u1RRCIRwsLCAFQnSAkJCcjMzMSMGTMAVN/26devX4PX1ZoiIyNx7do10/bCMitSVlbGALCysrIWr1upVLLDhw8zpVLZ4nWT/9OS7SyTyZhAIGAAWFZWlt5zzz33HAPADhw40OzXsUSt+X5OTk5mAJifnx+Ty+Xs5s2b7Pr16ywtLY1ptVomk8kYAJM/ZDKZQdcRHx/P+Hw+c3R0ZI6OjgwAE4vFLDU1td4yhYWFDAD77bffGGOMXb9+nQFg2dnZtc6VyWTMzs6OXb58We/41KlT2d/+9jcmlUqZSCTSe48WFxcze3t7Nn/+/HpjkMlkTCgUsn379nHHlEol8/PzY5s2bWKMMRYdHc2ioqL0yj3//PNs2bJl9dYbGBjItm7dqncsPDycrVq1ivu5KfVGR0frxb9161YWGBhocPy9e/fmntdoNKykpKTW66vVaubo6Mji4uK4Y/n5+QwAu3LlSr3XGh0dzUJCQphWq+WOLVu2jIWEhOid82wMNa+tKddRXz11Wbx4MePxeNz7kcfjMR8fH3bx4kXunNGjR7N33323wXoAsKSkpEZfr6HyP/zwA9NoNLWeu3XrFgPAcnNz6yyrUChYeno6UygUtZ4z9vub/gQlVuvixYtQq9UIDAxEly5duON5eXm4e/cubGxsMGzYMDNGaJ0GDx4MJycnPHr0CHfu3IGtrS1sbGygVqu5bm9LMWjQIEgkEkgkEqSkpGDYsGEYMWIE8vLyAFSP55gwYQKCgoLg4uLCvc8ePHgAoHpzzOjoaISHh2Ps2LFISEhASUkJACA9PR2VlZUYOnQonJycuMf333+PrKwsZGVlQalU6t0a8PDw0BvbVZesrCyoVCpud3Ggen+ryMhIZGRkcMd69eqlV04sFnN72zRHc+ttavz19Tg8+/p8Ph+enp5c7wUA+Pj4AECjMb344ot6t6D79++PzMxMvZ2bG+r1aOp1NFaPTmpqKsaNG8e9Hy9duoQePXpg+vTpXEwKhYLbNd4cdFsLNNbL1ZIsb8oAIU1U33gYHx8fJCcnIz09He7u7uYKz2rZ2tpi+PDhOHjwIE6fPo0xY8bA2dkZZWVlKC0tRceOHc0yPsaYrQ8cHR0RHBzM/dy3b1+4uroiISEB69atQ2xsLAICApCQkAA/Pz9otVqEhoZygzP5fD6SkpJw584d/PLLL9i2bRtWrFiBlJQU7pbT0aNH0bFjR73XtbW1RXFxsVHXyf53q6rmtHbGmN4xoVCo9zyPx+NiqouNjU2tW3J1rf9jaL01NTV+R0fHOsvX9frPHtPVYUhM9akvBqDp19FYPTppaWlYu3Yt934MDg7G4sWLERsbi7y8PAQFBcHLy4tLks1Bd5usQ4cOJntN6okhVqu+8TB2dnYYMWIE3n//fXOE1S7oBgAePnwYjDFuxkZpaSl4PB4cHR1N/miJtWp4PB5sbGygUChQXFyMjIwMrFy5Eq+++ipCQkLq/ALh8XgYMGAAPv74Y6SlpUEkEiEpKQk9e/aEra0tHjx4gODgYL1HQEAAgoODIRQKcfXqVa6ukpISbtf1+gQHB0MkEuHixYvcMZVKhRs3biAkJMToa+/QoQPy8/O5n8vLy5GTk2N0ffVprfgN9Wy7637u1q1bk/f8acnryM7ORmlpaa1JCNnZ2eDz+fDw8AAAREREID093aC6W9KdO3fg7+8PLy8vk70m9cQQq/T48WNuAGTN9WFI69Ntqvn48WNUVFSgU6dO4PF4qKyshEKh4Lqd27qqqioUFBQAqE4gtm/fDplMhtjYWLi7u8PT0xO7d++GWCzGgwcPsHz5cr3yKSkpSE5ORmxsLHx9fZGSkoInT54gJCQEzs7OWLx4MRYuXAitVouoqCiUl5fj8uXLcHJyQnx8PKZOnYolS5bA09MTPj4+WLFiRaMD0R0dHTFz5kwsWbIEHh4e6NSpEzZt2oSKigpMnTrV6LYYPHgw9u7dy137hx9+2GKb+D2rteI31MOHD7Fo0SJMnz4dN2/exLZt25o8Owxo2etITU0Fj8eDj48PCgoKIJfLceHCBaxatQozZsyAm5sbACAmJgYffPABSkpK9HqZZTIZ7t+/z/2ck5MDiUTCxdWYmuXz8vIgkUjg5eWlV/7ChQsmv0VPSQyxSt9//z20Wi369+8Pf39/7viVK1dw+PBhvPHGG3jxxRfNGKF1s7W1xaxZs/Ddd99BKpVCIBDAxcUF5eXlqKiosJgk5vjx4xCLxQAAZ2dn9OjRAz/99BMGDhwIADhw4ADmzZuH0NBQdO/eHV999RX3HAC4uLjgypUr2LVrF8rLyxEYGIjPP/8cI0aMAACsXbsW3t7e2LhxI7Kzs+Hm5oY+ffrg73//OwBg8+bNkMlkGDVqFJydnfH++++jrKys0bg/+eQTaLVaxMXFQSqVol+/fjhx4kSzbp9+8MEHyM7OxsiRI+Hq6oq1a9e2Sk8M0DrxG2ry5MlQKBSIjIwEn8/H3Llz8d577xlUR0tdx82bN8EY424lubu7o1u3btiyZQvi4+O588LCwtCvXz/8+9//xvTp07njN27c0PtjbtGiRQCA+Ph47N27FwCwd+9eTJkypc5ZfDXLr1ixAitWrNArX1lZiaSkJJw4ccKga2s2g4YBt3E0O8nytUQ7a7Va1qNHDwaAJSQk6D03f/58BoBNnTq1uaFaNFO8nwsKCli3bt3YsWPHWFFREVMoFO3u349u1kxdMzlIy2npdq45g8qSHD16lIWEhBjcFqtWrWLR0dGNnldfW2/fvp0NHTq0wbKtMTuJemKI1bl69Sp+//13ODg4YNy4cXrP6daHoVV6W5+Pjw9ef/11ANUD/nRrqxBCWs9rr72GzMxM/PnnnwgICGhyuRMnTuDLL780+nWFQiG2bdtmdHljURJDrM4//vEPAMDYsWPh4uLCHb9//z4yMzMhEAgwZMgQc4XXrsTFxaGwsBBlZWVQKpUQiUQAqqdg2tnZ0UKDhLSC+fPnG1zmypUrzXpNQ2+1tRRKYohVkcvlOHDgAADg3Xff1XtOt4JsVFSUXnJDWk/Pnj25MRyFhYXw9/dHdnY2nj59ii5dulDvDGmTzp49a+4QSBPRn0HEqhw8eBAymQzBwcF4+eWXueNqtZrbvOyvf/2rucJrl3QJY1FRETQaDbcY1+PHj5u9FQAhpH2jJIZYlT179gCo7oV5dl2QpKQk5ObmwtPTE5MnTzZXeO2Svb09RCIR1Go1nj59ig4dOoDH46GiosIiN4UkhLQdlMQQq/HHH3/gwoULsLGxqZWoVFVVwdfXF7NnzzZq5VZiPB6Pxy3G9fjxYwgEAu420uPHj80ZGiHEwtGYGGI1dOsVDB8+vNYy7pMmTcLYsWPrXCadtD43NzcUFhaisrISJSUl8PHxQVFREUpLS1FZWWnW/V4IIZaLemKIVVCr1UhMTASAelfDtLW1hZOTkynDIv8jEAjg6+sLoHpzRKFQyI2VaYlNBwkh7RMlMcQqnDx5Eo8ePYKXlxdGjhzJHc/KysKhQ4f0dp4l5uHr6ws7Ozuo1Wo8fPiQS2qkUmmLbMZHCGl/KIkhFk+j0eDjjz8GUL0uiW4tEgD47LPP8Pbbb2PGjBnmCo/8j42NDTp37gwAKC4uBmMMXbp0QUhICK0XQwgxCn1yEIu3a9cuXLt2DS4uLli8eDF3vKioiBsnM3HiRDNFR57l5OQEb29vANWbyLm5uVECQwgxGn16EIuWn5+PDz74AACwfv16+Pn5cc/t3LkTlZWV6NOnD6Kjo80VIqmhY8eOEIlEUCqVePToEQCAMYb8/HzI5XIzR0cIsSSUxBCLtnDhQpSXl6Nfv36YOXMmd/zJkyfcPh6LFy/WWzOGmBefz0dgYCCA6inWcrkcjx49wp9//omcnBwaH0MIaTJKYojFOn78OH788UfY2Nhg9+7d4PP5AKrHyEycOBFPnjxBSEgI3n77bTNHSmpydXXl1o7JysqCu7s7hEIhKisrud4ZUreBAwdiwYIF5g7DIG0h5uLiYnh7eyM3N9dkr/n2229jy5YtJnu99oiSGGKRKioqMGvWLADVm51FRERwz3366ac4deoUHBwc8NNPP0EoFJorTNKATp06wdbWFkqlEllZWdzaPgUFBSgtLTVzdMA777wDHo/HPTw9PTF8+HDcvn3b3KFZnP/85z9Yu3Ztq9T9yiuvgM/nw93dHXw+Hx4eHhgzZgyePHmid97GjRsRGxvLDS5fvXq13u+Xx+NxM+aaoinlP/roI6xfvx7l5eXNvk5SN0piiEVat24dcnJy4O/vjzVr1ug9N378ePTp0wfffPMNnnvuOTNFSBojEAjQvXt32NraoqqqCvn5+VzvzP3791FcXGzmCKsXTszPz0d+fj5Onz4NgUCgN4WfNEypVAIAPDw84Ozs3Ox6amKMQSKRYPPmzfj999/x8OFD7N+/H2fOnMG6deu48xQKBfbs2YNp06bplX/uuee4329+fj5+++03g+JqrHyvXr3QuXNn7Nu3z6B6SdNREkMszoEDB7B582YAwLZt22otYBcUFISrV68iLi7OHOERA4hEIr1ERi6Xw93dHQCQk5NT669pU7O1tYWvry98fX3Ru3dvLFu2DA8fPuTiOn78OKKiouDm5gZPT0+MHDkSWVlZenUcOXIE4eHhsLe3h6enJ4YMGcINYGaMYdOmTQgKCoK9vT3Cw8Nx8OBBrqxcLsfkyZPh5OQEsViMzz//vElxV1VVYd68efD29oadnR2ioqJw/fp17vmBAwdi3rx5Vz1TjAAAGJVJREFUWLp0KTw8PODr64vVq1c3WOfAgQMxZ84czJkzh7velStX6m3iqTtn0aJF8PLywtChQ7njz95Oakp8ddVTU2ZmJqRSKaKjo+Hj4wM/Pz/ExMSga9eueoPEjx07BoFAgP79++uV1y3CqHt06NCh8cY1sPyoUaOwf/9+g+olTUdJDLEoO3bswIQJE6BWqzF58mSMGTMGAKBSqXDx4kXuPLqF1PbJ5XLI5XKoVCr4+/tDo9GgtLQURUVFcHR0hI2NDbcdge7cuh4KhaLOep99tASZTIZ9+/YhODiY2/tJLpdj0aJFuH79Ok6fPg0bGxu88cYb3ODk/Px8TJs2DVOmTEFGRgbOnj2LN998k/viX7lyJb777jvs3LkTd+/excKFCzFp0iScO3cOALBkyRL8+uuvSEpKwsmTJ3H27FmkpqY2GuvSpUtx6NAhJCYm4ubNmwgODkZMTAyePn3KnZOYmAhHR0ekpKRg06ZNWLNmDU6dOtVgvYmJiRAIBEhJScFXX32FrVu34ttvv63znEuXLmHXrl3Niq+xelJTUyESiRAWFgagOjlKSEhAZmam3tpQ58+fR79+/WqVz8zMhJ+fH7p06YLx48cjOzu7wes3pnxkZCSuXbuGqqoqg+omTcSsSFlZGQPAysrKWrxupVLJDh8+zJRKZYvXTf5Pfe2s1WrZqlWrGAAGgM2aNYup1WrGGGMFBQUsJiaG8Xg89umnn5ojbItjqvezQqFg6enpTKFQ1HpO97us6zFgwACWk5PD/Y4dHBzqPTc6OlqvXi8vr1rnGCM+Pp7x+Xzm6OjIHB0dGQAmFotZampqvWUKCwsZAPbbb78xxhi7fv06A8Cys7NrnSuTyZidnR27fPmy3vGpU6eyv/3tb0wqlTKRSMQOHDjAPVdcXMzs7e3Z/Pnz641BJpMxoVDI9u3bxx1TKpXMz8+Pbdq0iTHGWHR0NIuKitIr9/zzz7Nly5bVW290dDQLCQlhWq2WO7Zs2TIWEhKid07v3r3rLKuLuanx1VVPTYsXL2Y8Ho/7HfF4PObj48MuXryod97o0aPZu+++q3csOTmZHTx4kN2+fZudOnWKRUdHMx8fH1ZUVNTo6xpS/tatWwwAy83NbVK9bZ1Go2ElJSVMo9EYXLahzwNjv7+pJ4a0eRqNBnPmzOFW5V29ejW2b98OPp+Po0ePIiwsDCdOnIBIJKIxMFakqKgId+/eRVlZmdliGDRoECQSCSQSCVJSUjBs2DCMGDECeXl5AKpnVk2YMAFBQUFwcXFBly5dAFTvDwUA4eHhiI6ORnh4OMaOHYuEhASUlJQAANLT01FZWYmhQ4fCycmJe3z//ffIyspCVlYWlEql3i0QDw8PdO/evcGYs7KyoFKpMGDAAO6YUChEZGQkMjIyuGO9evXSKycWixvdx+rFF1/UW66gf//+yMzM1NvWo64eD2Pia6weoLonZty4cbh58ybOnz+PCxcuoEePHpg+fbpeTAqFotYmoyNGjMBbb72FsLAwDBkyBEePHgUAbg+2xjS1vL29PYDqyQik5dEu1qTNYozh6NGjWLduHVJSUsDj8bBt2zbMnj0bCoUCS5YswY4dOwAAYWFh+Ne//oXQ0FAzR02aSiaT1fucVCpFYWEhlEolMjMzcfr0aW4HcltbW3Ts2BGurq7g8Xi1VvxtySm0jo6OCA4O5n7u27cvXF1dkZCQgHXr1iE2NhYBAQFISEiAn58ftFotQkNDuYGofD4fSUlJuHPnDn755Rds27YNK1asQEpKCnfL6ejRo7V2Xbe1tTV6YDP7362qmmsjMcb0jtW85crj8VpkjR5HR8cWia+xegAgLS0Na9euRXBwMMrLy7lVu2NjY5GXl4egoCAAgJeXF5c8NhR3WFgYMjMzG31dQ8rrbpEZOt6GNE2b7In5+uuv0aVLF9jZ2aFv3764cOGCuUMiJqTRaPDTTz8hIiICsbGxSElJgZ2dHf71r39h9uzZOHnyJEJDQ7kEZuHChbh27RolMBbG0dGx3oevry+ee+45+Pj4AKgeQGlvbw97e3vY2NggPz8fWVlZKC4uhlqtbrTelqJLmhQKBYqLi5GRkYGVK1fi1VdfRUhISJ1flDweDwMGDMDHH3+MtLQ0iEQiJCUloWfPnrC1tcWDBw8QHBys9wgICEBwcDCEQiGuXr3K1VVSUoI//vijwRiDg4MhEon0xoipVCrcuHEDISEhzbr+Z2PR/dytWzdujaamaKn4srOzUVpaij59+tQ6rptqrRMREYH09PQG66uqqkJGRgbEYnGTY2hK+Tt37sDf3x9eXl5G1Usa1uZ6Yn788UcsWLAAX3/9NQYMGIBdu3ZhxIgRSE9PR6dOncwdHmkFjDHcu3cPly9fxsWLF5GcnIzHjx8DqP5CeuuttzB37lyue9nV1RXZ2dnw9fVFYmIihg0bZs7wSSvh8/kICAhAhw4dUFRUhOLiYq43Bqj+4issLERpaSkCAgJgb28PkUiE8vJy7v+bu1JzVVUVCgoKAFQnENu3b4dMJkNsbCzc3d3h6emJ3bt3QywW48GDB1i+fLle+ZSUFCQnJyM2Nha+vr5ISUnhFmF0dnbG4sWLsXDhQmi1WkRFRaG8vByXL1+Gk5MT4uPjMXXqVCxZsgSenp7w8fHBihUrGt1rytHRETNnzsSSJUvg4eGBTp06YdOmTaioqMDUqVOb1R4PHz7EokWLMH36dNy8eRPbtm1r8oyplo4vNTUVPB4PPj4+KCgowOPHj5GWloZVq1ZhxowZcHNz486NiYnBBx98gJKSEm72m67HplOnTigsLMS6detQXl6O+Pj4Jr1+U8tfuHCBPqNaUZtLYrZs2YKpU6dy8/m/+OILnDhxAjt37sTGjRvNEpNcLkd2djYyMjLg5uYGgaB2s7m5uXFTfSsrK1FUVFRvfa6urtyaCVVVVQ1OI3V2doarqyuA6rUSGrpn/ey5KpWKSwTq4uTkxP0j12g0yM/Pr/dcBwcH7h++VqvVW1FVq9WCMQbGGLRaLWxtbeHi4gKNRgOVSoWcnBwoFApUVFRAoVBAJpOhqKiIW9BMLpfj3r17tbrOBQIBnJycUFZWhu+//x4ikYhLYiIjI7F//368/vrrzVp7glgGOzs7+Pv7o2PHjigvL0dxcTFKS0u5Wx+6xfJq0vWa8Pl88Pl8CAQCODg4cDOfgOqxErrznv0vj8eDSqXC8ePHub+snZ2d0a1bNyQmJqJPnz6Qy+X4xz/+gaVLlyI0NBR/+ctf8Pnnn2PYsGFQKBSQSqUQCoW4ePEivvnmG0ilUgQEBGDjxo0YPHgwqqqqsHLlSri6umL9+vXIzc2Fq6srevfujffffx8ymQyrV69GWVkZRo0aBWdnZ8yZMwdPnz6FSqWqdTuOx+Nxn00ff/wxqqqqMGnSJMhkMkRERCApKQlCoRAymQwajQYajYabMaNSqaBWqxusV6vVYuLEiSgvL0dkZCT4fD6mT5+OCRMmcGVq1qtWq8EY4z4PdOetXLkSVVVViIuLg1QqRZ8+fXD48GG9+GrG8uztL7VajatXr4Ixxt3uc3NzQ9euXbFhwwa88847ejF06dIFERER+Oc//4l3330XQPVtx/Hjx6O4uBgdOnRAZGQkzpw5A09PT+51f/jhB8ycORNSqbRWDHl5eVx5Ly8vPP/883rldStQJyUl4ciRIw3ePhUIBFzCrdFoGrytZ+y5Wq1Wb5yQsefyeLxavZ/mxGPsmUn+ZqZUKrlVVt944w3u+Pz58yGRSLhphzpVVVV609bKy8sREBCAoqIiuLi4tFhcP/74I6050sp064TUxcPDA1FRUXrrZ5DmUalUOHXqFIYOHdqq09ErKyvx8OFDdO7cudbAyubSJce6adRVVVW071Irmj59Ov7yl7/g/fffN3coRrl06RK+/PJLHDhwoMk7p+/evRupqan1TvFuzL///W+cP38e27dvN6p8W+Xk5IRu3boZ3NNZWVmJ3NxcBAQE1Po8KC8vh5eXF8rKygz6/m5TPTFFRUXQaDTcfXAdXXdhTRs3buRmrDzr5MmTcHBwaLG4bt++DYFA0GD2qftrD6jOYs1xro2NDfeXGGNMr+u9Jc7l8XhgjNW7eiZQnc3r/tLl8XjcGIFnl+bW1RcQEIDRo0fD29sbgYGB2LVrF1e+Q4cO8Pf3h7+/PzeAMzk5ud7XJcZpbF2Q5tItBiaTyRp83xhLKBTCzc0Nbm5uXG+grkehqqoKarWa+2tVo9HAxsYGNjY23Lm6931df8vp3q+65xv7e+/ZD3RrPbcpX1ptKd5nzx0wYAAePHiAwsJCve0BGqr36tWrekmboTEIhUIsWbKkwfOMqbctnKvrnTKEUqmEQqHA+fPna32XGTt7q031xDx69AgdO3bE5cuX9aYVrl+/Hv/85z/x+++/651vqp4YwHR/ubZ31M6mYQ09MZaAMQapVApnZ2eL30l98ODBCA8Px9atW80dSi3W1M5tXXPa2up7Yry8vMDn82v1uhQWFtbqnQGqb0HY2trWOi4UClvtg7k16yb/h9rZNFq7nTUaDdf71tQufGuiu71V11RwS3P27Flzh1Ava2rntq45ba3roa/rc8fYz6E29dsWiUTo27dvrS7uU6dO4aWXXjJTVIQQQghpi9pUTwwALFq0CHFxcejXrx/69++P3bt348GDB3r7YBBCCCGEtLkk5q9//SuKi4uxZs0a5OfnIzQ0FMnJyQgMDDR3aIQQQghpQ9pcEgMAs2bNwqxZs8wdBiGEEELasDY1JoYQYp3a0CRIQoiZtMbnACUxhJBWo5txQDv4EkJ0nwMtOSOyTd5OIoRYBz6fDzc3N267DAcHh3a1jodWq4VSqURlZSVN/W1F1M6mY0xbM8ZQUVGBwsJCuLm5GbRhaGMoiSGEtCrd6qgN7ftlrRhjUCgUsLe3b1fJm6lRO5tOc9razc1Nb7XklkBJDCGkVfF4PIjFYnh7eze4vYU1UqlUOH/+PF555RVavLEVUTubjrFtLRQKW7QHRoeSGEKISTy7D1h7wefzoVarYWdnR1+urYja2XTaWlvTzUNCCCGEWCRKYgghhBBikSiJIYQQQohFsqoxMbqFdMrLy1u8bpVKhYqKCpSXl7eJ+4DWitrZNKidTYPa2TSonU2ntdpa971t6IJ4VpXESKVSAEBAQICZIyGEEEKIoaRSKVxdXZt8Po9Z0XrgWq0Wjx49grOzc4uvFVBeXo6AgAA8fPgQLi4uLVo3+T/UzqZB7Wwa1M6mQe1sOq3V1owxSKVS+Pn5GbRgoVX1xNjY2MDf379VX8PFxYX+kZgAtbNpUDubBrWzaVA7m05rtLUhPTA6NLCXEEIIIRaJkhhCCCGEWCT+6tWrV5s7CEvB5/MxcOBACARWdReuzaF2Ng1qZ9OgdjYNamfTaUttbVUDewkhhBDSftDtJEIIIYRYJEpiCCGEEGKRKIkhhBBCiEWiJIYQQgghFomSmGd8/fXX6NKlC+zs7NC3b19cuHChwfMPHTqEnj17wtbWFj179kRSUpKJIrVshrRzQkICXn75Zbi7u8Pd3R1DhgzBtWvXTBit5TL0/axz4MAB8Hg8jBkzppUjtA6GtnNpaSlmz54NsVgMOzs7hISEIDk52UTRWi5D2/mLL75A9+7dYW9vj4CAACxcuBCVlZUmitYynT9/HrGxsfDz8wOPx8Phw4cbLXPu3Dn07dsXdnZ2CAoKwjfffGOCSJ/BCGOMsQMHDjChUMgSEhJYeno6mz9/PnN0dGR5eXl1nn/58mXG5/PZhg0bWEZGBtuwYQMTCATs6tWrJo7cshjazhMmTGA7duxgaWlpLCMjg02ZMoW5urqy//f//p+JI7cshrazTm5uLuvYsSN7+eWX2ejRo00UreUytJ2rqqpYv3792GuvvcYuXrzIcnNz2YULF5hEIjFx5JbF0Hb+4YcfmK2tLdu3bx/LyclhJ06cYGKxmC1YsMDEkVuW5ORktmLFCnbo0CEGgCUlJTV4fnZ2NnNwcGDz589n6enpLCEhgQmFQnbw4EETRcwYJTH/ExkZyWbMmKF3rEePHmz58uV1nj9u3Dg2fPhwvWMxMTFs/PjxrRajNTC0nWtSq9XM2dmZJSYmtkZ4VsOYdlar1WzAgAHs22+/ZfHx8ZTENIGh7bxz504WFBTElEqlKcKzGoa28+zZs9ngwYP1ji1atIhFRUW1WozWpilJzNKlS1mPHj30jk2fPp29+OKLrRmaHrqdBECpVCI1NRXDhg3TOz5s2DBcvny5zjJXrlypdX5MTEy95xPj2rmmiooKqFQqeHh4tEaIVsHYdl6zZg06dOiAqVOntnaIVsGYdv7555/Rv39/zJ49Gz4+PggNDcWGDRug0WhMEbJFMqado6KikJqayt16zs7ORnJyMl5//fVWj7c9qe978MaNG1CpVCaJwfzL7bUBRUVF0Gg08PHx0Tvu4+ODgoKCOssUFBQYdD4xrp1rWr58OTp27IghQ4a0RohWwZh2vnTpEvbs2QOJRGKKEK2CMe2cnZ2NM2fOYOLEiUhOTkZmZiZmz54NtVqNjz76yBRhWxxj2nn8+PF48uQJoqKiwBiDWq3GzJkzsXz5clOE3G7U9z2oVqtRVFQEsVjc6jFQEvMMHo+n9zNjrNax5pxPqhnbbps2bcL+/ftx9uxZ2NnZtVZ4VqOp7SyVSjFp0iQkJCTAy8vLVOFZDUPez1qtFt7e3ti9ezf4fD769u2LR48eYfPmzZTENMKQdj579izWr1+Pr7/+Gi+88ALu37+P+fPnQywW48MPPzRFuO1GXb+Xuo63FkpiAHh5eYHP59fK6gsLC2tlmTq+vr4GnU+Ma2edzz77DBs2bMAvv/yCXr16tWaYFs/Qds7KykJubi5iY2O5Y1qtFgAgEAhw7949dO3atXWDtkDGvJ/FYjGEQiH4fD53LCQkBAUFBVAqlRCJRK0asyUypp0//PBDx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+ihh7BixQps2LDBoBt09erVCA0NRb9+/Zo8TnBwMHbu3Nlg+7vvvovdu3fjl19+afBHQmvez6Q+DDFkUZcuXUJhYSEiIiLw8MMP469//SsqKyvxr3/9C0ePHsWuXbvkD+WhQ4cCAA4ePGjwAS99MK5fvx7du3dHbGwsUlJS5NlA+fn5OHXq1C1/kVRVVeH777+Hn5+ffOz8/Hz8+OOPWLBgAQoKCrBy5UpMnjzZ4Pvq6upw+PBhTJkyxeRrsHDhQiQlJWHYsGF45ZVX4OzsjCVLluDUqVNYt26dyS0vTVm0aBHuvPNO5OfnIy4uzuAxLy+vBjNNmuPUqVPYsGED+vbtCxcXFxw/fhzvvvtug5V4R44ciQceeADz5s1DXV0d+vfvjyNHjmDu3LkYM2YMBg0aZHBcjUaDIUOGYNeuXSY9V2OmPr+nn34a3t7eSExMRPv27VFQUID169fj66+/xowZMxrtSvrhhx9w7dq1ZrfCAE2/xm/nn//8JwYNGoS7774bzz77LKKiolBSUoKLFy9i48aN8qy0MWPG4IsvvkDXrl3Rq1cvHD16FIsXL77ljJ2mtPR9Z+q1v++++5CUlIRnn30WxcXFiI2Nxbp167B582asWbNG7nrbvXs3RowYgVmzZmHWrFkA6ruGpGuq74svvoCjo2ODx8zxfiaVUXZcMdm7b775Rp7dMH78eOHt7S28vLzEgw8+KM6cOdNg/7vvvlvcf//9BttmzZolnJycxPr160VUVJRwdXUVQ4cOFYcOHRKxsbEiJCTEYPaE8eyk4uJikZCQIM+MCAwMFAEBASI4OFjcc889YvHixaKgoKDR+rdv3y6v3XE7Tc1OEuLmOjEeHh7Czc1N9O/fX2zcuNFgH2l2ytWrV297LiEMZycZe+yxxwQAs60Tc+7cOTF48GDh5+cnnJ2dRWxsrHjzzTdFaWlpg33Ly8vFzJkzRXh4uHBychIRERHitddeE5WVlQb7lZSUCADikUceueW5m7ou5lyw7fPPPxd33323CAgIEE5OTsLX11cMGTJEfPnll01+T1JSkvDw8BDFxcUtOldjr3Ehbv/zv3Tpkpg8ebLo0KGD0Gq1IjAwUAwcOFDMnz9f3uf69etiypQpIigoSLi7u4tBgwaJX3/9VQwZMsRg3aLmXLuWvu9ao6SkREybNk0EBwcLZ2dn0atXrwazvaT3V1MzD/U1NTupJe9nsg0aIVS8FjjZvL/97W9YsmQJioqKbjmYUSI1KV++fFkeLHr//fcjLy8Px44da9Y5o6KiMHHiRLPcP2n8+PFIS0tr8h5BZLpNmzZhzJgxOH78OHr27Kl0OVbT2GtcjVr6vrMFfD/bHw7sJYuSBgY2J8AA9Qt9JSQkYOHChfK2o0ePIjEx0VIlNik1NRVff/01Fi1aZPVztwU7d+7EI4880qYCDND4a1yNlHrfWQrfz/aJIYYsRvz/VT1b0k+u0WiwYsUKhIaGoq6uDhkZGcjPz1fkwzQjIwMff/xxg3EcZB6LFy9u8Q3+7IHxa1yNlHzfWQrfz/aJ3Ulkd8zZnUREROrFEENEREQ2id1JREREZJMYYoiIiMgm2dVid3V1dcjJyYGXl5fZFxAjIiIiyxBCoKSkBKGhoS26PYldhZicnJxGl1onIiIi9cvMzGzRCtN2FWK8vLwA1F8Eb29vsx5bp9Nhy5YtGDlyJLRarVmPTTfxOlsHr7N18DpbB6+z9VjqWhcXFyM8PFz+Pd5cdhVipC4kb29vi4QYd3d3eHt7801iQbzO1sHrbB28ztbB62w9lr7WLR0KwoG9REREZJMYYoiIiMgmMcQQERGRTWKIISIiIpvEEENEREQ2iSGGiIiIbBJDDBEREdkkhhgiIiKySQwxREREZJMYYoiIiMgmMcQQERGRTWKIISIiIpvEEEPURgghUFpaqnQZRERmwxBD1EZMnToVfn5++OWXX5QuhYjILBhiiNqAgwcPYunSpdDpdJg0aRJqamqULomIqNUYYojsXF1dHaZNmyZ/vWvXLjg5OSlYERGReTDEENm5L7/8EsnJyfDy8kJubi66du2qdElERGbBEENkx0pKSvDqq68CAN566y0EBwfLj50/fx7FxcVKlUZE1GoMMUR27JtvvkFeXh46deqEF198Ud7+wQcfYObMmXjjjTcUrI6IqHXYMU5kx6ZMmYKQkBC4urrC2dlZ3n7HHXdACIFPP/0Uf/7znzFs2DAFqyQiMg1bYojs3P3334/hw4cbbBs2bBhGjRoFAHjhhReUKIuIqNUYYojsUGVlJWpra2+5z/jx46HRaHD69Gnk5uZaqTIiIvNhiCGyQ0uXLoWvr+8tx7x4enoiLi4OQP06MkREtoYhhsgOHT58GKWlpXB3d7/lfv369QMAHDhwwBplERGZFUMMkR1KTk4GALmlpSn9+/c32J+IyJaoKsTU1NTgzTffRHR0NNzc3BATE4N58+ahrq5O6dKIbMa1a9eQmpoKAHjxxRdx+fLlJve9//77cfDgQWzevNla5RERmY2qplgvWrQIy5Ytw+rVqxEXF4cjR45g0qRJ8PHxMVjjgoiadvjwYfn/GRkZGDZsGHbu3InIyMgG+wYGBiI0NNSa5RERmY2qQsyBAwfw4IMPYvTo0QCAqKgorFu3DkeOHFG4MiLb8eWXXwIAHB0dERUVhdTUVAwdOhS7du1qNMgQEdkqVYWYQYMGYdmyZTh//jw6d+6M48ePY+/evfjHP/7R6P5VVVWoqqqSv5aWUNfpdNDpdGatTTqeuY9LhnidW6eurg4bN24EAAwZMgSfffYZRo4ciYsXL2Lo0KHYunUrIiMjDa7z8ePHsXz5cvj7+2PevHlKlm93+Hq2Dl5n67HUtTb1eBohhDBrJa0ghMDrr7+ORYsWwdHREbW1tXjnnXfw2muvNbr/nDlzMHfu3Abb165de9tZGUT2aM+ePfj73/8OBwcHzJ49G71790ZBQQHeeust5ObmIigoCO+99x58fX3l70lJScGcOXPQvn17fPrppwpWT0RtVXl5OR577DEUFRXB29u72d+nqhDz1VdfYcaMGVi8eDHi4uKQkpKC6dOn4+9//zsmTJjQYP/GWmLCw8NRUFDQoovQHDqdDlu3bkVSUhK0Wq1Zj0038TqbTqfToXfv3rh48SLmzp1rEP6zs7MxYsQIpKWlYeHChZg2bZp8ncvLyxEUFAQhBDIzM9G+fXsFn4V94evZOnidrcdS17q4uBgBAQEtDjGq6k6aMWMGXn31VTzyyCMAgJ49e+Ly5ctYuHBhoyHGxcUFLi4uDbZrtVqLvZAteWy6ide55VavXo2LFy8iMDAQL7/8ssH1i4qKwrRp0zB9+nTs3LkTf/3rXwHUX+eAgAB0794dp0+fxtGjR/Hggw8q9RTsFl/P1sHrbD3mvtamHktVU6zLy8vh4GBYkqOjI6dYE91GZWWlPJ5l6tSp8PT0bLDPPffcA6C+y6mystLgsQEDBgDgondEZFtUFWIeeOABvPPOO/j555+Rnp6O77//Hn//+9/x0EMPKV0akap9+umnyMzMhIuLC+bMmYPVq1c32Kd79+4ICQlBZWVlg7AiLXrHEENEtkRVIeajjz7CH//4Rzz33HPo1q0bXnnlFTzzzDN4++23lS6NSNWkAbkajQYA0KtXrwb7aDQauTVm+/btBo9JLTHJycmoqamxZKlERGajqhDj5eWFf/zjH7h8+TIqKiqQmpqK+fPnw9nZWenSiFTr+vXr+P333wHUdyu5urqiR48eje7bVIjp2rUrfH19ERoaiuzsbMsWTERkJqoa2EtELSfd96h9+/a4cuUK+vTp0+QguREjRgAAjh07hpKSEnm7g4MDLl++bPZZfURElqSqlhgiarlDhw4BAHx8fAAAiYmJTe7boUMHdO/eHUIInDx50uAxBhgisjUMMUQ2Tgox1dXVAICEhIRb7i91KR0/frzRxzkbkIhsBUMMkQ0TQsghJjc3F4DpIaampgajRo2Cn58f8vPzLVAtEZF5McQQ2bBLly6hoKAAWq0WS5Yswcsvv4zY2Nhbfs/QoUPh6OiIvLw8XLp0Sd7u5OSEzMxMFBUVycGIiEjNGGKIbNjhw4cBAH369MHkyZPxwQcfNFgw0piXlxf69esHANixY4fBY9J6MbxzPBHZAoYYIhsmtZhIoaS5hg8fDqDxqdYAcOHCBTNUR0RkWQwxRDZMCjEajQY7duxAWVlZs75PGhezc+dOg4G8nTp1AsAQQ0S2gSGGyEZVV1fj2LFjAIDPPvsMI0aMQFZWVrO+NyEhAa6urigsLERKSoq8XT/EqOgG90REjWKIIbJRJ06cQFVVFXx9fVFeXg6NRoOoqKhmfa9Wq5VX9d22bZu8vWPHjgCAoqIiFBQUmL1mIiJzYoghslFSV1KXLl0AAGFhYXBxcWn298fHxwMwDDFubm4YMGAARowYgdLSUjNWS0RkfrztAJGNkkJMSEgIgJutKM3Vs2dPAMD+/ftRV1cnz2rav3+/GaskIrIctsQQ2SgpxHh4eABoeYgJCwuDVqtFWVkZMjIyzF4fEZGlMcQQ2aDr16/j/PnzAACdTgeg5SHG0dERnTt3BgCcPn26wePScYmI1IohhsgGSXeujo2NlWcktTTEAED37t0BAGfOnJG37du3DyEhIfLCd0REasUxMUQ2SOpKSkxMxNSpU/H7779jwIABLT5Ot27dABi2xPj5+SEvLw+lpaUQQkCj0ZinaCIiM2OIIbJB+iv1Dhw4EAMHDjTpOI21xMTExMDBwQGlpaW4cuUKgoODW18wEZEFsDuJyMbo37m6pbcbMKYfYqSVe11cXBAREQGAK/cSkboxxBDZGOnO1c7OznB2dsbKlSvllXtbqmPHjvIMpczMTHk7bz9ARLaAIYbIxkiDeuPj47F9+3Y8+eSTWLx4sUnH0mq18mJ5+uNiGGKIyBYwxBDZmLNnzwKoX6wuNTUVgGkzkySNjYthiCEiW8AQQ2RjpGDRqVMns4SYuLg4AIYtMb1798bQoUPlWxMQEakRZycR2Rj9ELN8+XIA5mmJ0Q8xw4YNw7Bhw1pRJRGR5bElhsjGSCEmKioKly9fBmCelpgzZ85ACNH6AomIrIQhhsiGFBYW4vr16wDqp0LX1tbC1dVVvgmkKWJjY5u8h1J5eTnKyspaVTMRkaUwxBDZEOl+SWFhYcjJyQFwc3E6U2m1WvkeSvqDe//yl7/Aw8MDa9eubUXFRESWwxBDZEP0x8MkJiZi27Zt+OCDD1p93MbGxfj5+Rmck4hIbRhiiGyIfojx8fHBiBEjcO+997b6uPrjYiScZk1EascQQ2RD9EOMOTXWEsMQQ0RqxynWRDZEP8T861//gpeXFx588EG568dUxjOUNBqNHGJSU1NRV1fXqnE3RESWwBBDZCOEEHKIiY2NxeOPP46ysjKcPXu21SGmU6dOcHJyQmlpKTIzMxEREYHIyEg4OTmhsrISWVlZ8k0hiYjUgn9aEdmI/Px8lJSUQKPRwMPDA2VlZdBoNIiKimr1sfVnKEldSk5OTvL6M9KsKCIiNWGIIbIRUitMREQEsrOzAQDh4eFwcXExy/EbG9z70EMPYfLkyfD39zfLOYiIzIndSUQ2wtz3TDLW2ODehQsXmu34RETmxpYYIhth6RDTWEsMEZGaMcQQ2QhrtcQY30OpsrKS06yJSJUYYohshKVDjDRDqaSkBFlZWQCArKwsuLu7Iy4uDrW1tWY7FxGROTDEENkAIQQuXrwIoD5sfPXVV9iyZQuGDBlitnM4OzvLa8NI42JCQkLg6OgInU6H3Nxcs52LiMgcGGKIbEBubi7Kysrg4OCA6OhoREZGIikpCUFBQWY9j/G4GEdHR4SFhQFAgztcExEpjSGGyAZIXUlRUVFwdna22HmktWKk7ioA8iJ3DDFEpDYMMUQ2QH88THJyMmbNmoVNmzaZ/TzR0dEAgLS0NHlbZGQkAODy5ctmPx8RUWswxBDZAP0Qs2/fPrz99ttYvXq12c8TExMDALh06ZK8jS0xRKRWDDFENkA/xGRmZgKoX63X3PRDTF1dHQCGGCJSL4YYIhsghZjOnTvL05+lAbfmFBYWBkdHR1RXVyMnJwcA0KdPH0yePBljxowx+/mIiFqDtx0gUrm6ujqD6dXdRTL8AAAgAElEQVSWbIlxcnJCZGQk0tLSkJaWhrCwMCQkJCAhIcHs5yIiai22xBCpXFZWFiorK+WAYcmWGKDxcTFERGrEEEOkclJXUkxMDDQajdzNY4mWGKDxGUoVFRU4f/48SkpKLHJOIiJTMMQQqZz+oN68vDzU1tbCyckJ7du3t8j5pJYY/RAzYMAAdOnSBb/++qtFzklEZAqGGCKV0w8x7du3x/nz57Fr1y44Ojpa5HycZk1EtoIDe4lUTj/EODk5oVOnTvI9jiyhsZYYhhgiUiO2xBCpnH6IsQZpTExubi4qKioA3Fy1lyGGiNSEIYZIxerq6uRunY4dO+Kbb77B7NmzcejQIYud08/PD97e3gCA9PR0AGyJISJ1YoghUrGrV6+iqqoKGo0G4eHh2LBhA+bNm4cDBw5Y7JwajaZBlxJDDBGpEUMMkYpJN10MDQ2FVqu16EJ3+oynWUshJisrCzU1NRY9NxFRc3FgL5GKSS0f+iECsNxCdxLjGUrBwcGYMmUKwsPDodPp4OTEjw4iUh4/iYhUTGqJiYyMRG1trcUXupMYdyc5Ojris88+s+g5iYhait1JRCqm3xJjjYXuJI2t2ktEpDZsiSFSMSnEREZGyuNhQkNDLbbQnUS/O0kIAY1Gg4qKCmRmZsLZ2RlRUVEWPT8RUXOwJYZIxaTupIiICKuNhwHqQ5NGo0FpaSkKCgoAAO+88w66dOmC9957z+LnJyJqDrbEEKmYfktM586dcf78eVRXV1v8vK6urggNDUV2djbS0tIQGBjIadZEpDpsiSFSqbKyMhQWFgKob4lxcXFBp06dEBcXZ5XzG89QYoghIrVhiCFSKSkseHt7w8fHx+rnN56hxFsPEJHasDuJSKX0p1cDwIIFC1BVVYWJEyfKs4csyTjESNO6i4qKUFRUpEiwIiLSx5YYIpUyXuhu2bJlmDdvHvLz861yfikoSd1Jnp6e8PPzM6iNiEhJDDFEKqU/qNeaC91JjFtiAI6LISJ1YXcSkUrpT6+25kJ3EinEZGRkQKfTQavVYvLkybh27Ro6duxolRqIiG6FIYZIpZRa6E4SHBwMV1dXVFZWIjMzEzExMXjhhRescm4iouZgdxKRSim10J1Eo9Hw9gNEpGoMMUQqVFtbKwcXpUIM0HBcTHV1Nc6fP48jR45YtQ4iosaoLsRkZ2fjL3/5C/z9/eHu7o74+HgcPXpU6bKIrConJ0ceAxMSEiJ3J1lrUK/EeIbSsWPH0KVLF4wbN86qdRARNUZVY2KuX7+Ou+66C8OGDcMvv/yCoKAgpKamwtfXV+nSiKxKGg8TFhYGR0dHzJ8/H88++yxcXV2tWodxS4w0Oyk7Oxs1NTVwclLVRwgRtTGq+gRatGgRwsPDsWrVKnkb75ZLbZH+oF4AcHNzQ2xsrNXrMA4xwcHB0Gq10Ol0yM3NtXrLEBGRPlWFmB9//BGjRo3Cww8/jN27d6NDhw547rnn8NRTTzW6f1VVFaqqquSvi4uLAQA6nQ46nc6stUnHM/dxyRCvcz0pNISFhVnkWjT3OktjcC5duiTvGxYWhkuXLiEtLQ3BwcFmr82e8PVsHbzO1mOpa23q8VQVYtLS0rB06VK8/PLLeP3113H48GFMmzYNLi4ueOKJJxrsv3DhQsydO7fB9i1btsDd3d0iNW7dutUixyVDbf067927F0D9QNqNGzdiyZIl8Pf3x7hx4+Di4mK289zuOldUVAAACgsL8e2338Ld3R0eHh4A6v/ouHHjhtlqsWdt/fVsLbzO1mPua11eXm7S92mEEMKslbSCs7Mz+vbti/3798vbpk2bhuTkZBw4cKDB/o21xISHh6OgoADe3t5mrU2n02Hr1q1ISkqCVqs167HpJl7neg8++CB++eUXLF26FPfeey+io6Ph6OiI0tJSs6wT05LrHBwcjGvXruHYsWPo0aMHJk+ejDVr1mD+/Pn429/+1upa7Blfz9bB62w9lrrWxcXFCAgIQFFRUYt+f6uqJSYkJATdu3c32NatWzds2LCh0f1dXFwa/atUq9Va7IVsyWPTTW39OkuzkaKjo3HlyhUA9QvdmXtgb3Ouc0REBK5du4bc3Fz06dNHHqeTnZ3dpn9GLdHWX8/WwutsPea+1qYeS1Uh5q677sK5c+cMtp0/f17+0CRqK/QH9p46dQqA9adXSyIiIpCSkiIvvif9BTZw4EBF6iEikqgqxLz00ksYOHAgFixYgD/96U84fPgwli9fjuXLlytdGpHV3LhxQx6kHh4ejs2bNwOw/kJ3EumPCClYDRkyBEOGDFGkFiIifapa7C4hIQHff/891q1bhx49euDtt9/GP/7xDzz++ONKl0ZkNVJYCAgIgIeHh2IL3UmktWGklhgiIrVQVUsMAIwZMwZjxoxRugwixejfMwmAYrcckBi3xAghcP78eWRlZWHw4MEcg0BEilFdiCFq64wXulNLS4xUFwDEx8ejsrISaWlp8q0JiIisTVXdSUTUsCVm+/btOH/+PO655x5F6tG/1YBOp4NGo5FbhaRWIiIiJTDEEKmM1OIhhQc3Nzd06tQJPj4+itTTvn17ODs7o66uDjk5OQDAEENEqsAQQ6Qyxt1JSnNwcJC7sqRWIoYYIlIDhhgildHvTrpw4QImT56M999/X9GajAf3MsQQkRowxBCpSHV1NXJzcwHUB4dz585h1apV+OqrrxSty3hwL0MMEakBQwyRimRlZUEIARcXFwQGBspjUEJDQxWty3itGIYYIlIDTrEmUhH9Qb0ajQbZ2dkAgA4dOihZVoPupN69e2Pu3Lno0qWLkmURURvHEEOkIsaDetXaEhMVFYVZs2YpWRIREbuTiNTEeI0YtYQY/ZYYIYSitRARSRhiiFREGmMiTWlWS3eSNAamrKwM169fBwCkpqZi27ZtuHLlipKlEVEbxhBDpCLG90lSS0uMm5sbgoKCANxsLZowYQKSkpKwZ88eJUsjojaMIYZIRYxDzOXLl3Hx4kV07dpVybIAcK0YIlIfhhgiFTHuTnJzc0PHjh3h7OysZFkAOM2aiNSHIYZIJcrLy3Ht2jUANwOCmhgveCeN02GIISKlMMQQqYQUBjw9PeHt7Y29e/di8uTJWLFihcKV1WN3EhGpDUMMkUroj4fRaDQ4duwYVq1ahS1btihcWT12JxGR2jDEEKmE8aBetUyvljTVEpOTk4Pa2lrF6iKitosr9hKphPGgXrVMr5ZILTF5eXmorKxESEgI5syZg/DwcNTW1sLR0VHhComorWGIIVKJzMxMAOpbI0bi7+8PNzc3VFRUICsrC7GxsZg9e7bSZRFRG8buJCKVUHt3kkajkbuUpHExRERKYoghUgm1rtarz3iadWZmJrZt24bff/9dybKIqI1iiCFSCf0QU1paipKSEgDqCjHGg3vff/99JCUlYfXq1UqWRURtFMfEEKlAZWUlCgoKANQP7PX09ER5eTlyc3Ph5eWlcHU3cZo1EakJW2KIVEAKAe7u7vD19QVQf8uBmJgYJctqwLg7iSGGiJTEEEOkAsYL3amV8cBehhgiUhJDDJEKGA/q/fbbbzFp0iR8++23SpbVgNQSk5mZibq6OoOZVEIIJUsjojaIIYZIBYxDzN69e/HFF18gOTlZybIakFqKqqqqcPXqVXnQcWVlpXzzSiIia2GIIVIBta/WK9FqtXJNly9fhouLC4KCggCwS4mIrI+zk4hUoKk1YtSy0J2+iIgIZGdnIyMjA4mJiXj77bcNwg0RkbUwxBCpgPEtB6TVetUYDCIjI3HgwAF5cO/TTz+tcEVE1FaxO4lIBfRbYoQQqm+JAXjrASJSHltiiBRWVVWF/Px8APUh5tq1a6iurgYAhISEKFlao6Rp1lLr0dWrV5GSkgJXV1fcfffdSpZGRG0MW2KIFCa1uri6usLf3x95eXkAgMDAQDg7OytZWqOMF7zbvHkzRo4ciXnz5ilZFhG1QWyJIVKY8UJ3cXFxqKiokG9DoDZctZeI1IItMUQKMx7UC9S3yuh/rSZSiCkoKEB5ebk8biczM5ML3hGRVTHEECnMeHq12vn4+Mg3pczIyJBDTFlZGYqLi5UsjYjaGIYYIoUZh5iPPvoIEydOxLZt25Qsq0kajcagS8nDwwPt2rUDwC4lIrIuhhgihRmHmG3btmH16tVITU1Vsqxb4rgYIlIDhhgihTV1ywE1rhEjMQ4xUu3S+B4iImvg7CQihdnSar0Saa0YKcQ899xz+OMf/4jBgwcrWRYRtTEMMUQKqq6uxpUrVwDUh5iamhr5azWHGOOWmNGjRytZDhG1UexOIlJQbm4uhBBwdnZGQEAA8vPzUVdXB0dHR/nu0GpkHGKIiJTAEEOkIGk8TIcOHeDg4CB3JYWEhMDBQb1vTynEZGZmoq6uDqWlpdi6dSs2bNigcGVE1JawO4lIQcaDeqV7KKm5Kwmor8/BwUHuDisuLsbIkSPh5eWFcePGKV0eEbURDDFECjIe1Dt69GhUVFSgpKREybJuS6vVIjQ0FFlZWcjIyEBcXBwAoKSkBMXFxfD29la4QiJqC1rVXq3T6ZCZmYlz587h2rVr5qqJqM1obLVeV1dXBAYGKlVSs+mPi/H09ISvry8ArhVDRNbT4hBTWlqKTz/9FEOHDoWPjw+ioqLQvXt3BAYGIjIyEk899RSSk5MtUSuR3bG1Ww7o41oxRKS0FoWYDz/8EFFRUVixYgWGDx+O7777DikpKTh37hwOHDiA2bNno6amBklJSbj33ntx4cIFS9VNZBeMQ8yrr76KCRMm4LffflOyrGYxXiuGq/YSkbW1aEzM/v37sXPnTvTs2bPRxxMTEzF58mQsW7YMK1euxO7du9GpUyezFEpkj4wH9v7444/4/fff8cQTTyhZVrPw1gNEpLQWhZj169c3az8XFxc899xzJhVE1FbU1NQgNzcXQMPVetV8ywEJu5OISGkmz05atmwZVqxYgeLiYsTExGDs2LGYPHkytFqtOesjslu5ubmoq6uDVqtFUFAQSktLUVxcDMC2Qszly5cBAA888ADCwsLQu3dvJcsiojbEpNlJP/74I5577jm4urqib9++KCsrw9SpUzF48GAUFBSYu0YiuyS1WBgvdOfp6QkvLy8lS2sWKcQUFhairKwM8fHxmDRpEu644w6FKyOitsKkELN69WqsXr0a+/btw7p167B3716kpqbC29sbSUlJqK2tNXedRHanqRs/2kIrDAD4+PjIYYtdSESkBJNCzI0bNzB+/HiDbZGRkfjpp59QVVWFtWvXmqU4IntmPKjX1kKMRqMxGBcjhMDWrVvx+eefo7y8XOHqiKgtMCnEtGvXrtHtWq0Wb7/9Nr755ptWFUXUFkitF1KIKSwsBGA7IQYwHNyr0Wjw8MMPY8qUKfI4GSIiSzIpxJw4cQIXL15s9LHRo0fj9OnTrSqKqC0w7k6aPn06Kisr8dFHHylZVosYrxXDGUpEZE0mhZjc3Fx06dIFPXv2xOzZs3Hs2DH5MVdXV3h4eJitQCJ7ZdydBNQvT+Dj46NUSS3GtWKISEkmhZgOHTrg448/Rq9evfCvf/0LCQkJiIyMxPTp07Ft2zbV37yOSA2Mu5NsEUMMESnJpBAzcOBATJo0Cf/5z39w9epVbNq0Cffddx/Wr1+PkSNHsimZ6Daqq6uRl5cH4OYv/kcffRQTJkyQB/jaAuO1YtidRETWZFKIeeGFF/D9998DAJycnDBq1CgsW7YM2dnZ2L17t03/ZUlkDbm5uRBCwNnZGYGBgaitrcX69evx73//W+nSWkQKMZmZmairq2NLDBFZlUkr9vbp0wc1NTWNPnb33Xdj8+bNrSqKyN7pD+p1cHBAbm4uamtr4eDggPbt2ytcXfOFhobCwcEBOp0OV65cYYghIqsy+bYDCQkJTT7WtWtXUw9L1CY0tdBdcHAwnJxMfltanVarRWhoKLKyspCRkYH4+HisWrUKMTExSpdGRG1Aiz4to6OjodFoWnyS6dOnY9q0aS3+PiJ7ZesL3emLiIiQQ0y/fv0wceJEpUsiojaiRSHmiy++MOkkUVFRJn0fkb0ynplkyyEmMjIS+/fvl2coERFZS4tCzJAhQyxVB1GbYuv3TdJnPM16//79OHv2LIYMGYKOHTsqWRoR2TmTZicBnEJJ1BrG3UlFRUUA7CPEzJs3D1OmTMGePXuULIuI2gCTRxBGRkaiXbt26N27N3r37o34+Hj07t0bVVVV+OSTT2xuqiiRNRl3J3388cf44IMPbPIO8FwrhoiUYnKISUtLQ0pKClJSUvDbb7/h22+/RU5ODgDA29vbbAUS2ZuqqipcuXIFwM3uJKD+lgO2iKv2EpFSTO5OioqKwh/+8AfMmTMH//d//4fMzEzs3bsXHTt2xOeff97qwhYuXAiNRoPp06e3+lhEaiKFfVdXVwQEBChcTetJIaawsBBlZWVsiSEiqzE5xDRmwIAB+Oc//4n58+e36jjJyclYvnw5evXqZabKiNRDf1CvRqNBaWkpRowYgSeeeAI6nU7h6lrOx8cHXl5eAOpbY9gSQ0TWYnKIaerDtlOnTjh9+rTJBZWWluLxxx/HihUr0K5dO5OPQ6RWjc1M2rFjB77//ntotVolSzOJRqORl1G4fPmy3BLDEENElmZyiPHw8EB8fDwmTZqEf/7zn9izZw8uXryIjz76CCNHjjS5oKlTp2L06NG45557TD4GkZoZz0ySupdscWaSRAoxly5dksPZjRs3UFpaqmBVRGTvTB7Yu2PHDhw/fhzHjx/Hf/7zH7z++uuoqKgAAIwcORJvvPEGevXqhV69eqFbt27NOuZXX32FY8eOITk5uVn7V1VVoaqqSv66uLgYQH0rkbmb5aXj2WJzvy1pC9dZmsUTGhoKnU7X4GtrMPd1joyMBACkpqbC1dUVK1euRGhoKDQajV3/LG+nLbye1YDX2Xosda1NPZ7JIWbQoEEYNGiQ/HVdXR3OnTsnz1g6evQoPv/8c+Tn5zdr2mhmZiZefPFFbNmyBa6urs2qYeHChZg7d26D7Vu2bIG7u3vzn0wLbN261SLHJUP2fJ2PHj0KoL6lYtOmTdi5cycAQAiBTZs2WbUWc13n8vJyAMDBgwexadMm+Pv7o6qqCtu2bTPL8W2dPb+e1YTX2XrMfa2lz5CW0gghhFkrMXLlypVm3ZX3hx9+wEMPPQRHR0d5W21tLTQaDRwcHFBVVWXwGNB4S0x4eDgKCgrMPs1bp9Nh69atSEpKsslxC7aiLVznxMREpKSk4Pvvv8fo0aPx0ksv4ZNPPsGMGTPwzjvvWKUGc1/nH374AX/605+QkJCAffv2maFC+9AWXs9qwOtsPZa61sXFxQgICEBRUVGLfn+3qCUmIyNDnk7ZHNnZ2c3u5x8xYgROnjxpsG3SpEno2rUrZs6c2SDAAPXrajS2toZWq7XYC9mSx6ab7Pk6S7cYiI6OhlarRW5uLoD6qcrWfs7mus6xsbEA6rvKtFotTp8+jUOHDiE2NhaDBw9u9fFtnT2/ntWE19l6zH2tTT1Wiwb2JiQk4KmnnsLhw4eb3KeoqAgrVqxAjx498N133zX72F5eXujRo4fBPw8PD/j7+6NHjx4tKZNItSorK3H16lUAN2cnSc2o9jCwNz8/H+Xl5fj2228xZcoU/Oc//1G2MCKyay1qifn999+xYMEC3HvvvdBqtejbty9CQ0Ph6uqK69ev48yZMzh9+jT69u2LxYsX47777rNU3UQ2SZqZ5ObmBj8/PwDAL7/8gqqqKmg0GiVLaxVfX194e3ujuLgYly9flgMa72xNRJbUohDj5+eH999/H/Pnz8emTZvw66+/Ij09HRUVFQgICMDjjz+OUaNGma3lZNeuXWY5DpFa6E+v1g8ttnrLAYm0VsyJEyeQnp7e4H5KRESWYNLsJFdXV4wdOxZjx46V+/dtuSmcyFqMF7qzJ9HR0XKIkdZ5unz5MoQQNt3KRETqZfJid/v27UN0dDQiIiIQERGB9u3bY+bMmfJaLUTUkPHdq0+dOoXhw4fbxT3CpHEx6enp8vMrLy9HYWGhglURkT0zOcQ888wziIuLQ3JyMk6cOIHFixdj+/btuPPOO1FQUGDOGonshvFqvampqdi5c6ddTEvWX7XX1dUVwcHBANilRESWY3KISU1NxYcffog77rgDcXFxeOKJJ5CcnIz4+HhMmzbNnDUS2Y3G7psE2Ed3rH5LDHBzFV+GGCKyFJNX7O3WrRvy8vLQqVMneZtGo8G8efOQmJholuKI7I1xd5I9h5iFCxeirq4Offr0Ua4oIrJrJoeYiRMn4umnn8Z///tfgwXwioqK4OPjY5biiOyNcXeSPYaYq1evoqysDMOGDVO2ICKyeyaHGGkgYufOnTF27FjEx8ejtrYWa9asweLFi81WIJG90B/kao/dSb6+vvDx8UFRUREuX76M7t27K10SEdk5k0NMXl4efvvtNxw/fhwpKSn44osvcOHCBWg0Grz77rv4+eef5btY33vvveasmcgmSa0wHh4e8PX1BQDk5OQAsI8QA9S3xhw/fhzp6ekIDAzEjz/+iKqqKjz33HNKl0ZEdsjkEBMUFIRRo0Zh1KhR8rbKykqcPHkSKSkpOH78OH788UcsWLAAN27cMEuxRLassYXuampqANhPiImOjpZDTHh4OJ588kn4+fkxxBCRRZgcYhrj6uqKhIQEJCQkmPOwRHahsYXuzp07h+rqajg5mfWtqBj9wb1/+ctfAADXrl1DaWkpPD09FayMiOyRyVOsiahljGcmSZydneHgYB9vRf0Q4+3tLXebcZo1EVmCfXxyEtmApkKMPeFaMURkTQwxRFYi/SKXfrF/8803GDZsGD788EMlyzIr/VV7AYYYIrIshhgiKzEOMSdPnsSuXbtw4cIFJcsyK+m5FRQUoLS0lCGGiCyKIYbICoQQcheL1FqRkZEBAAaLRdo6X19fg3EwDDFEZEn2MSWCSOXy8/NRWVkJjUYjj4mxxxAD1E+z/u2335Ceno5x48YhPj4enTt3VrosIrJDbIkhsgKpJSI0NBTOzs4A7DfE6A/ujYqKwogRI+x6MDMRKYchhsgKjGfr1NXVybOV7DnEEBFZEkMMkRVILTHSL/grV65Ap9PBwcEBoaGhClZmfsYhZs2aNZg1axby8vKUK4qI7BLHxBBZgfGg3sLCQoSEhECr1drNar0S4xDzzjvv4OzZsxg6dCiCg4OVK4yI7A5bYoiswHh6dY8ePZCTk4PU1FQly7KIpha8Y/cSEZkbQwyRFRi3xEjsrRUG4FoxRGQ9DDFEFiaEaNASY898fHzQrl07APXhjSGGiCyFIYbIwqS7OAM3ZyJNnToVw4cPx7Zt25QszWKio6MBMMQQkWUxxBBZmPTLu3379nBzcwMAHDx4EDt37kRFRYWSpVmM/rgYhhgishSGGCILa2w8jL0udCfRDzHSc8zMzERtba2CVRGRvbG/UYVEKmM8HqaiogIFBQUA7D/EXLp0CR06dMC2bdsQGRkJjUajbGFEZFcYYogszLglRlqp19PTU75Zor3p2LEjACA1NRWOjo4YMWKEwhURkT1idxKRhRmvl6LflWSvLROxsbEAgIsXL0IIoXA1RGSv2BJDZGHGtxyw9/EwQP1zdXR0RFlZGfLy8nDhwgVs374diYmJGD16tNLlEZGdYEsMkYUZdyfV1NQgJCTErteMcXZ2lp/fhQsXsG3bNsybNw8bN25UuDIisicMMUQWdOPGDRQVFQG42Z309NNPIycnB0uXLlWyNIvr1KkTgPouJU6zJiJLYIghsiDpl3ZAQAA8PDwMHrPX8TASaVzMhQsXGGKIyCIYYogsqC3dbsCY/uBe/RDDgb5EZC4MMUQWZDweRgiBuLg4DB8+HIWFhcoVZgVSd9KFCxcQHh4OACgvL5fXyCEiai2GGCILMm6JuXr1Ks6cOYNdu3bBy8tLydIsTr8lxsXFBcHBwQDYpURE5sMQQ2RBxi0x0vTqkJAQODs7K1SVdURHR8PBwUGeZh0TEwMASEtLU7gyIrIXXCeGyIKMW2LawhoxEmma9aVLl3Dx4kUsW7YMbm5ubXJ8EBFZBltiiCyoqZaYthBiAMNxMT179kRsbCy0Wq3CVRGRvWCIIbKQ0tJSefBuW2yJAQzHxRARmRtDDJGFSF1Jvr6+8PHxAdD2Qox+S8z169cxd+5cTJ06VeGqiMheMMQQWYjxjR8BwMvLC8HBwW1mXIhxS8ycOXOwZMkSlJaWKlkWEdkJDuwlshDjGz8CwKpVqxSqRhn6LTG+vr7w9/dHYWEhUlNT0bt3b4WrIyJbx5YYIgsxHtTbFulPs75y5QrHyBCRWTHEEFlIW77lgMT4btb6LTNERK3FEENkIcYtMXv27EFsbCwmTpyoWE1K0G99YUsMEZkTQwyRhRi3xKSlpSE1NRU5OTlKlmV1+q0vDDFEZE4MMUQWUFFRgStXrgC42RKTmZkJoO1Mr5boBxcp0PDWA0RkDpydRGQBUiuMp6cn2rVrB+Bm91JbDTEXLlxAr169cPbsWURHRytcFRHZA4YYIguQBq7GxsZCo9EAAFJTU+VtbYnU+iLdzbpLly4KV0RE9oLdSUQWcP78eQBA586d5W3SOJC2FmKkadalpaVyFxsRkTkwxBBZgNQSI7VClJeXIzs7G0DbCzEuLi5yF9rFixfxww8/YOLEiVi7dq3ClRGRrWOIIbIA4xBz/fp19O/fH506dYKfn5+SpSlCf1zMb7/9htWrV2PXrl3KFkVENo8hhsgCpO4kKcR06NABBw4ckLe3NfrjYjjNmojMhSGGyMzKy8uRlZUFwHBMTFum3xKjH2iIiFqDIYbIzKRZSNINDwFACKFkSYprrCUmMzMTFRUVSpZFRDaOIYbIzPS7kqTp1ffffz9iY2OxZcsWJUtTjH4Xkp+fH3x8fNk4/sQAACAASURBVABw0Tsiah2GGCIzkwb16nclnT17FqmpqfDw8FCqLEXFxMRAo9GgpKQEV69e5bgYIjILhhgiMzOemVRVVYWMjAwAbW96tUR/mvX58+flRQBzc3MVroyIbBlDDJGZGYeY9PR01NXVwcPDA0FBQUqWpqhu3boBAM6cOYNPPvkEFRUV+N///V+FqyIiW8YQQ2Rmxqv16q/UK42RaYt69OgBADh9+jT8/f3h4uKicEVEZOsYYojMqLi4WF5a33gqcVvtSpJIIebUqVMKV0JE9oIhhsiMpMASGBgoz8BhiKmnH2IqKysxefJkDB48GFVVVQpXRkS2inexJjIj45V6ASAiIgKJiYno1auXUmWpQrdu3aDRaHD16lUUFRXh22+/RUlJCdLS0uTxMkRELcGWGCIzamx69YwZM3Do0CE89thjSpWlCu7u7oiJiQFQP7iX06yJqLUYYojMyHhmEhnS71LSvxUBEZEpGGKIzMi4O6mmpgY1NTVKlqQq+iGG91AiotZiiCEyI+PupO3bt8PNzQ2jR49WsizViIuLA8CWGCIyD4YYIjMpLCzEtWvXANyciZSamoqamho4OXEMPdB4S8zZs2eVLImIbJiqQszChQuRkJAALy8vBAUF4Q9/+APOnTundFlEzSK1KISGhsr3SOL0akNdunSBk5MTiouL4efnB41GA61Wy7tZE5FJVBVidu/ejalTp+LgwYPYunUrampqMHLkSJSVlSldGtFtNTYziSHGkLOzs3x9MjIyUFxcjLS0NLi5uSlcGRHZIlW1cW/evNng61WrViEoKAhHjx7F4MGDFaqKqHkam5nEENNQXFwczpw5g1OnTuHee+9VuhwismGqaokxVlRUBADw8/NTuBKi2zMOMbW1tUhNTQXAEKOPtx8gInNRVUuMPiEEXn75ZQwaNEj+0DNWVVVlsGR5cXExAECn00Gn05m1Hul45j4uGbLl6yyN34qOjoZOp0NGRgaqq6vh5OSE4OBgVT0nJa9z165dAdSHmEOHDmHmzJnw9vbGhg0brF6Lpdny69mW8Dpbj6WutanHU22Ief7553HixAns3bu3yX0WLlyIuXPnNti+ZcsWuLu7W6SurVu3WuS4ZMjWrrMQQp5lk5eXh02bNuHKlSu4++67odPpsGXLFoUrbJwS17mgoAAAcPLkSezfvx+7d++Gu7s7fv75Z7u9y7etvZ5tFa+z9Zj7WpeXl5v0fRohhDBrJWbwwgsv4IcffsCePXsQHR3d5H6NtcSEh4ejoKAA3t7eZq1Jp9Nh69atSEpKglarNeux6SZbvc5XrlxBeHg4NBoNioqK4OrqqnRJt6Tkda6trYWvry+qqqpw/Phx3HnnnaipqUFqairCw8OtWoul2err2dbwOluPpa51cXExAgICUFRU1KLf36pqiRFC4IUXXsD333+PXbt23TLAAICLiwtcXFwabNdqtRZ7IVvy2HSTrV3nS5cuAai/2aOXl5fC1TSfEtdZq9WiW7duSElJwaVLl9ClSxecPn0aZ8+ele+tZG9s7fVsq3idrcfc19rUY6lqYO/UqVOxZs0arF27Fl5eXsjLy0NeXh7XkCDVa2x6dUFBAWpra5UqSdX0B/f27NkTQH33EhFRS6gqxCxduhRFRUUYOnQoQkJC5H9ff/210qUR3VJj06tHjBgBd3d37Nq1S6Gq1EsKMadPn5ZDzIkTJ5QsiYhskOq6k4hskfGNH4UQuHjxIqqrqxEaGqpkaaqk3xLz6KOPAmBLDBG1nKpaYohslfQLWLrBYV5eHsrLy+Hg4ICoqCgFK1Mn6TqdPXsWXbt2Rfv27REeHs4/ZIioRVTVEkNki0pLS+WVeXv37g2gvpsEAGJiYuDs7KxYbWoVEREBT09PlJaWQqfTIS8vT+mSiMgGsSWGqJVOnjwJIQSCg4MRFBQE4Ob4DinUkCEHBwe5NUYKfERELcUQQ9RKx48fB2AYWKQQ06tXL0VqsgWN3X6AK64SUUswxBC1khRi4uPj5W0MMbcntcScOnUKGzduRHh4OP74xz8qXBUR2RKOiSFqpcZaYh5++GFERUWhT58+SpWletLU6pSUFHh7eyMrKwtOTvxIIqLm4ycGUSvU1dU1Ov7ltddeU6okm9G3b18AQFpaGoKDgwEA6enpKCkpsalVj4lIOexOImqF1NRUlJWVwcXFxWC1Xro9X19f+Y7WFy5cQEhICADDMTJERLfCEEPUClJXUo8ePeSukHPnziEjI4NrnjRD//79AQCHDh2Su5cYYoiouRhiiFqhsUG9L7/8MiIjI7FixQqlyrIZ/fr1A2AYYrhyLxE1F0MMUSvcanq1NIWYmqYfYqTZSgwxRNRcDDFErWAcYq5du4asrCwADDHN0bNnT7i5uaG4uBjt2rXDXXfdJXcxERHdDmcnEZno2rVryMjIAHBzPRipFSY6Ohre3t6K1WYrnJyc0LdvX/z666+4fv069u7dq3RJRGRD2BJDZCIpsERFRcHX19dgGxe5az79LiUiopZgiCEyEW83YB76M5QAoKysTG7hIiK6FYYYIhMxxJiH1BJz4sQJrFq1Cj4+PnjmmWcUroqIbAHHxBCZqLEQM2PGDBw5cgSJiYlKlWVzwsLC0KFDB2RnZ6Ompga1tbU4cOAA6urq4ODAv7OIqGn8hCAygU6nw+nTpwE0vGfSokWLEBERoVRpNklqjSkoKICHhweKiopw5swZhasiIrVjiCEywblz51BVVQUvLy9ER0crXY7Nk0LMkSNH5P/v27dPyZKIyAYwxBCZQOpK6tWrl9zlsX//fuzYsQM3btxQsjSbpD+496677gLAEENEt8cQQ2SCxsbDLFq0CCNGjMCaNWuUKstm3XnnnXB0dET2/2vvzsOauvI+gH9DErawg0AQXBAruOGCtioVtSrqiFo79bVWxe2tWnfqWq37NmqtVVur6DO1r1Y71cHOjHu1CG6oSKwVVAqytIIIRUggJJCc9w8mt0S2JEIW+H2eJ0/L4ZyT3z3E5Jdz7z3n99+5jTQpiSGE1IeSGEIMUFMSU3V2huhHJBJxeyep1WrweDykp6cjNzfXxJERQswZ3Z1EiAFe3vixqKgImZmZAMB9GBP9vP7665BIJLh//z4++ugjtGrVCtbW1qYOixBixiiJIURPubm5ePbsGaysrLj9kTSbFvr5+cHV1dWU4Vms119/Hfv370dCQgLi4uJMHQ4hxALQ6SRC9JSYmAgAaN++Pezt7QHQqaSGoLm4986dO6ioqDBxNIQQS0BJDCF6unLlCgAgNDSUK9Os1Fv1Ghminw4dOsDZ2RlyuRw///wzHj58iIMHD0Iul5s6NEKImaIkhhA9xcbGAgAGDBjAlWn2/dFcI0P0Z2Vlxa0RExcXh7feegv/+7//i9u3b5s4MkKIuaIkhhA9FBcX4+7duwCAsLAwrvzIkSPYs2ePVmJD9DdkyBAAwLlz59C3b18AdKs1IaR2lMQQoodr165BpVKhXbt28PPz48o7d+6MuXPnokWLFiaMzvKNGDECQOVsV69evQBQEkMIqR3dnUSIHmo6lUR0o1KpUF5eXmedtm3bom/fvvj999/h5OSE1q1b47fffkNpaalFbgZZXl4OgUCAsrIyqFQqU4fTZNE4G4+hYy0UCsHn8xs8HkpiCNFDTUnMxx9/jLZt22LcuHFwdnY2TWBmjDGG3Nxcnbdj+Nvf/gaZTAYHBwfs378fjDH8+uuvEAqFjRxpw2OMwdvbG9nZ2eDxeKYOp8micTaeVxlrFxcXeHt7N+jfiJIYQnRUXFzM3V6tuR6msLAQW7duBWMMI0eOpCSmBpoExtPTE/b29vW+gbm7uyMrKwtCoRDu7u4oKSmBh4cH3NzcjBRxw1Gr1VxCZokzSZaCxtl4DBlrxhhKS0uRl5cHABCLxQ0WDyUxhOhIcz2Mv78/dz1MfHw8GGPo0KFDg/7DbCpUKhWXwLi7u+vURigUIjs7G+Xl5XBxcUFJSQkUCgVsbW0bOdqGp1aroVQqYWtrSx+ujYjG2XgMHWs7OzsAQF5eHjw9PRvs1BL9tQnRUU2nkugambpproHRLAqoCz6fD0dHR+7/AwICtC6iJoRYJs37QH3XxumDkhhCdKRZ5K6mJKbq7dakOn3PgWtOy5WUlMDFxQUCAU0aE2LpGuN6JUpiCNGBVCrFnTt3APyZsLx48QISiUSrjDQMTRIjk8nobhNCSK3o6w0hOqh6PUyrVq0A/Hk9zGuvvQYfHx8TR9i02NjYwMbGBgqFAoWFhVAoFFAoFPD39zd1aIQQM0IzMYTooKZrXx49egQej0fXwzQCHo/HzcYUFxcjJycHf/zxB5RKpYkjM70BAwZg4cKFpg7DYC/HzxjDBx98ADc3N/B4PG520xKZw9+moKAAnp6eyMjIMOrz/vWvf8XOnTuN+pwAJTGE6KSma18WL16MgoICrF692kRRNW1VTyk5ODgAqLyl3VimTJkCHo/HPdzd3TFs2DBus09imH/+85/YsGED9/O5c+fw9ddf4z//+Q9ycnLQuXNnE0b3al4+tobWv39/rdekm5sbxowZg+fPn3N1tmzZgoiICLRp04Yri4uLQ0REBHx8fMDj8XDq1Cm9nrdqez6fj9OnT1ers3r1amzatAnFxcUGH58hKIkhpB41XQ+j4erqipYtW5oirCbPwcEBPB4PSqUSIpEIAHReMK+hDBs2DDk5OcjJycGlS5cgEAgwcuRIo8bQ1Li5uXF3nwFAWloaxGIx+vbtC29vb4Mu4jaHGTqlUlnt2AztpyaMMUgkEuzYsQM5OTn4/fffcezYMVy+fBkbN24EAMjlchw6dAgzZszQaltSUoLg4GDs3bvXoJh0ad+1a1e0adMGR48eNeg5DEVJDCH10FwP07ZtW7Ru3drU4TQbfD4fTk5OAP68q0EqlTbo7Zn1sbGxgbe3N7y9vdGtWzcsW7YM2dnZ3Dffc+fOITQ0FC4uLnB3d8fIkSORlpam1ccPP/yA4OBg2NnZwd3dHYMHD0ZJSQmAyg+mbdu2wd/fH3Z2dggODsaJEye4tiUlJZg8eTIcHBwgFovx6aef6hS3QqHA/Pnz4enpCVtbW4SGhmrtBj5gwADMnz8fS5cuhZubG7y9vbF27do6+2zTpg127dqlVdatWzetdrr0W/WUy5QpUzBv3jxkZWWBx+Nxswe6xD937lxERUXBw8MD4eHhAIBBgwZh3rx5WLhwIVxdXeHl5YUDBw6gpKQEU6dOhaOjI9q1a4ezZ8/Weaya/ufOncv9bVetWgXGWK0xDBkypNrppPqOo7Z+apKamgqpVIoBAwbA29sbPj4+CA8PR7t27bjX09mzZyEQCNCnTx+ttsOHD8fGjRsxduzYOo+7Nrq2HzVqFI4dO2bQcxiKkhhC6lHTrdUrV67Em2++iR9++MFEUVkuxhhKSkp0evD5fMjlcjx//hyMMcjlcjx9+lTn9lUfVT+ADCGTyXD06FEEBARwC/eVlJQgKioKt2/fxqVLl2BlZYW3334barUaAJCTk4MZM2Zg6tSpSElJQWxsLMaOHcvFsmrVKvz973/Hvn378ODBAyxatAgTJ07kXnNLlizBTz/9hJiYGFy4cAGxsbHcqtF1Wbp0KU6ePInDhw/j7t27CAgIQHh4OP744w+uzuHDhyESiZCQkIBt27Zh/fr1uHjx4iuNkb79fv7551i/fj18fX2Rk5PDfcDrGr9AIMC1a9ewb98+rXIPDw/cunUL8+bNw+zZs/Huu++ib9++uHv3LsLDwzFp0iSUlpbWexwCgQAJCQnYvXs3PvvsMxw8eLDGOteuXcP+/fur9aHLcejSDwAkJibC2toaXbp0AVCZIEVHRyM1NRWzZs0CUHnaJyQkpM7jaky9e/fGrVu3oFAojPekrAkpKipiAFhRUVGD961UKtmpU6eYUqls8L7Jn8xxnENCQhgAdvjwYa6sZ8+eDAA7cuSICSMznLHGWS6Xs+TkZCaXy7kymUzGABj9IZPJ9Io9MjKS8fl8JhKJmEgkYgCYWCxmiYmJtbbJy8tjANj9+/cZY4zdvn2bAWDp6enV6spkMmZra8uuX7+uVT59+nT23nvvMalUyqytrdnx48e53xUUFDA7Ozu2YMGCWmOQyWRMKBSyo0ePcmVKpZL5+Piwbdu2McYYCwsLY6GhoVrtevXqxZYtW1Zrv61bt2afffaZVllwcDBbs2YN97Mu/YaFhWnF/9lnn7HWrVvrHX+3bt2436tUKlZYWFjt+SsqKphIJGKTJk3iynJychgAduPGjVqPNSwsjAUFBTG1Ws2VLVu2jAUFBWnVqRrDy8emy3HU1k9NFi9ezHg8Hvd65PF4zMvLi129epWrM3r0aDZt2rQ6+wHAYmJi6n2+utofOXKEqVSqar+7d+8eA8AyMjJqbFvT+4GGoZ/fNBNDSB1SU1Nx584d8Pl8bsq6qKgISUlJAGh9mKZu4MCBkEgkkEgkSEhIwNChQzF8+HBkZmYCqLyeY8KECfD394eTkxPatm0LAMjKygIABAcHIywsDMHBwXj33XcRHR3NXZycnJyMsrIyDBkyBA4ODtzjm2++QVpaGtLS0qBUKrVODbi5uaFDhw51xpyWloby8nL069ePKxMKhejduzdSUlK4sq5du2q1E4vF3N42r+JV+9U1/tpmHKo+P5/Ph7u7Ozd7AQBeXl4AUG9Mb7zxhtbibH369EFqaqrWukV1zXroehz19aORmJiIcePGca/Ha9euITAwEDNnzuRiksvlJt2eQ7O1QH2zXA2J1okhpA5HjhwBAAwdOpR787tw4QLUajUCAgLg6+tryvAskr29PWQymc71//jjD2RkZEAoFKJTp04G742jz9YHGiKRCAEBAdzPPXv2hLOzM6Kjo7Fx40ZERETAz88P0dHR8PHxgVqtRufOnbmLM/l8PmJiYvDLL7/gxx9/xJ49e7By5UokJCRwp5xOnz5d7eJwGxsbFBQUGHSc7L+nql5eHZUxplX28q7gPB6Pi6kmVlZW1U7J1XR9kr79vkzX+DUXe+vy/FXLNH3oE1NtaosB0P046utHIykpCRs2bOBejwEBAVi8eDEiIiKQmZkJf39/eHh4GPUOvpdpTpO1aNHCaM9JMzGE1IIxxiUxEydO5Mq/+eYbAJXrIhD98Xg8iEQinR8tW7aEo6MjBAIBVCqVXm2rPhpiyXMejwcrKyvI5XIUFBQgJSUFq1atwltvvYWgoKAaP0B4PB769euHdevWISkpCdbW1oiJiUHHjh1hY2ODrKwsBAQEaD38/PwQEBAAoVCImzdvcn0VFhbi8ePHdcYYEBAAa2trXL16lSsrLy/HnTt3EBQUZPCxt2jRAjk5OdzPxcXFePLkicH91aax4tdX1XHX/Ny+fXudNy5syONIT0/Hixcv0KNHj2rlfD6f2+G9e/fuSE5O1qvvhvTLL7/A19cXHh4eRntOmokhpBY3b95Eeno6RCIRRo8eDaByClpzZ8PkyZNNGV6zYWVlBXd3dzx79gzPnz+Hs7MzSktLYWdn1+g7FisUCuTm5gKoTCD27t0LmUyGiIgIuLq6wt3dHQcOHIBYLEZWVhaWL1+u1T4hIQFnzpxBREQEvL29kZCQgOfPnyMoKAiOjo5YvHgxFi1aBLVajdDQUBQXF+P69etwcHBAZGQkpk+fjiVLlsDd3R1eXl5YuXJlvccsEokwe/ZsLFmyBG5ubmjVqhW2bduG0tJSTJ8+3eCxGDRoEL7++mvu2D/55JMG24m4qsaKX1/Z2dmIiorCzJkzcffuXezZs0fnu8OAhj2OxMRE8Hg8eHl5ITc3FyUlJYiPj8eaNWswa9YsuLi4AADCw8OxYsUKFBYWwtXVlWsvk8nw66+/cj8/efIEEomEi6s+L7fPzMyERCKBh4eHVvv4+HgMHTpUr2N7VZTEEFILzSzMO++8w033fvvtt1CpVOjVq5dRvxU2dy1atMCzZ89QVFSElJQUlJaWon379tyCeI3l3LlzEIvFAABHR0cEBgbi+++/5+5UO378OObPn4/OnTujQ4cO2L17t9ZdbE5OTrhx4wb279+P4uJitG7dGp9++imGDx8OANiwYQM8PT2xZcsWpKenw8XFBT169MDHH38MANi+fTtkMhlGjRoFR0dHfPTRRygqKqo37q1bt0KtVmPSpEmQSqUICQnB+fPntT7Y9LVixQqkp6dj5MiRcHZ2xoYNGxplJgZonPj1NXnyZMjlcvTu3Rt8Ph/z5s3DBx98oFcfDXUcd+/eBWOMO5Xk6uqK9u3bY+fOnYiMjOTqdenSBSEhIfjHP/6BmTNncuV37tzBwIEDuZ+joqIAAJGRkfj6668BAF9//TWmTp1a4118L7dfuXIlVq5cqdW+rKwMMTExOH/+vF7H9sr0ugzYzNHdSZbPXMZZoVAwNzc3BoBduHCBK798+TIbPXo0++qrr0wY3asz5d1Jhnr48CG7ffs2S05OZrdv32apqakNEGHj0tw1U9OdHKThNPQ4v3wHlSU5ffo0CwoK0nss1qxZw8LCwuqtV9tY7927lw0ZMqTOto1xdxLNxBBSg3PnzuGPP/6AWCzGoEGDuPKBAwdqfSMhxtOiRQtIpVJuDYoXL15ALpdzd0QQQoARI0YgNTUVv//+O/z8/HRud/78eXz++ecGP69QKMSePXsMbm8oSmIIqYHmVNKECRMa5bw/0Z+LiwsEAgEqKiogEolQUlKCZ8+eae0RQwgBFixYoHebGzduvNJz6nuqraHQ3UmEvOTFixf417/+BeDPu5IqKiqwdetWpKenmzK0Zs3KyqraXQ8FBQVmsW8OaVpiY2OrbbFAzBMlMYS85OTJk1AoFOjUqROCg4MBAJcuXcKKFSvQu3dvVFRUmDjC5kuTxJSUlMDe3h6MsQZZoI0QYpkoiSHkJVXXhtGsLaJZG2b8+PEG7bJLGoatrS23S7BmATOZTPbK+yIRQiwTvRsTUkVWVhZiY2MBAO+//z6AykW9YmJiANDaMOZALBZDKpWiqKgIrVu3hoeHR4MsZEcIsTw0E0NIFTt27ABQuWO15sr+EydOQC6XIzAwEL169TJleASVa69oFvd6eTdgQkjzQkkMIf/1+PFj7Nu3DwDwySefAKjcemD//v0AKmdh6Bu/efDz8wOPx4NUKsWLFy+gUqkgl8tNHRYhxMjodBIh/7Vs2TJUVFTgL3/5C7c2zLfffotbt27B3t4eU6ZMMW2AhGNjYwNvb2/k5OQgKysLjDEIBAJ06tSJEk1CmhGaiSEEwJUrV3Dq1Cnw+Xxs376dK1coFHB0dMTKlSu55eeJefD29oa1tTXKy8uhUqlQVlamtUEhIaTpo5kY0uyp1Wp89NFHACoXbKq6J9K0adMwYsQI7hoMYj74fD58fX211u55+vQpnJyc4ODgYMLICCHGQjMxpNn79ttvkZiYCEdHR6xdu7ba7729vWFra2v8wEi9XF1d4ejoCMYYrK2tAVTu0KtSqUwcGSHEGCiJIc2aXC7ndgxesWIFPD09AQCLFi3CuXPnTBka0QGPx+PuIlMqleDz+VAoFMjOzjZxZIQQY6AkhjRru3btQnZ2Nvz8/LBw4UIAlZs/7tq1CxEREcjKyjJxhKQ+9vb2XCKjmYHJz8/HixcvTBlWoxkwYAD3WrUU5hBzQUEBPD09kZGRYbTn/Otf/4qdO3ca7fmaI0piSLP1008/caePNm/eDDs7OyiVSu7Ndt68eWjVqpUJIyS68vLygpeXF/ezk5MTt7KvoaZMmQIej8c93N3dMWzYMPz888+vGm6z889//hMbNmxolL779+8PPp8PV1dX8Pl8uLm5YcyYMXj+/LlWvS1btiAiIoLbMHTt2rVaf18ejwdvb2+dn1eX9qtXr8amTZtQXFz8ysdJakZJDGmW7ty5g1GjRkGpVGLs2LGYMGECVCoVpk2bhkePHsHT0xNr1qwxdZhED76+vnBzcwNQuRVBWVnZK/c5bNgw5OTkICcnB5cuXYJAIMDIkSNfud/mQrM5p5ub2ysllbVt8skYg0Qiwfbt2/Hw4UNkZ2fj2LFjuHz5MjZu3MjVk8vlOHToEGbMmKHVvlOnTtzfNycnB/fv39crrvrad+3aFW3atMHRo0f16pfojpIY0uw8fPgQw4cPh0wmw6BBg3D06FEwxhAZGYmjR49CIBDg4MGDcHZ2NnWoRA88Hg9t2rSBo6Mj1Go1UlNTIZfLkZmZidLSUoP61KxH4+3tjW7dumHZsmXIzs7mvuWfO3cOoaGhcHFxgbu7O0aOHIm0tDStPn744QcEBwfDzs4O7u7uGDx4MEpKSgBUfghv27YN/v7+sLOzQ3BwME6cOMG1LSkpweTJk+Hg4ACxWIxPP/1Up7gVCgXmz58PT09P2NraIjQ0FLdv3+Z+P2DAAMyfPx9Lly6Fm5sbvL29a7yovaoBAwZg7ty5mDt3Lne8q1at0tq3SlMnKioKHh4eGDJkCFde9XSSLvHV1M/LUlNTIZVKERYWBi8vL/j4+CA8PBzt2rXjxhgAzp49C4FAgD59+mi1FwgE3N/X29sbLVq0qH9w9Ww/atQoHDt2TK9+ie4oiSHNSnZ2NoYOHYr8/HyEhITg1KlTsLa2xpQpU7gE5vjx44iIiDB1qE1eSUlJrY+XZ1Hqqlt1pV4rKyuIxWIwxiCVSpGYmIisrCw8evTolaf0ZTIZjh49ioCAALi7u3NxRUVF4fbt27h06RKsrKzw9ttvQ61WAwBycnIwY8YMTJ06FSkpKYiNjcXYsWO5D/5Vq1bh73//O/bt24cHDx5g0aJFmDhxIq5cuQIAWLJkCX766SfExMTgwoULiI2NRWJiYr2xLl26FCdPnsThw4dx9+5dBAQEIDw8XGubhsOHD0MkEiEhIQHbtm3D+vXrcfHixTr7PXz4MAQCARISErB792589tlnOHjwYI11rl27pgvNfQAAF0BJREFUxq12bWh89fWTmJgIa2trdOnSBUBlchQdHY3U1FTMmjWLqxcXF4eQkJBq7VNTU+Hj44O2bdti/PjxWrfr60KX9r1798atW7egUCj06pvoiDUhRUVFDAArKipq8L6VSiU7deoUUyqVDd43+VNjjnN2djYLDAxkAFiHDh3Y8+fPud+tWbOGCQQCduLEiQZ/XnNkrNezXC5nycnJTC6XV/sdgFofI0aM0Kprb29fa92wsDCtuh4eHtXq3L59m925c4fl5+cztVqtU+yRkZGMz+czkUjERCIRA8DEYjFLTEystU1eXh4DwO7fv88YY+z27dsMAEtPT69WVyaTMVtbW3b9+nWt8unTp7P33nuPSaVSZm1tzY4fP879rqCggNnZ2bEFCxbUGoNMJmNCoZAdPXqUK1MqlczHx4dt27aNMcZYWFgYCw0N1WrXq1cvtmzZslr7DQsLY0FBQVrjt2zZMhYUFKRVp1u3bjW21cSsa3w19fOyxYsXMx6Px/2NeDwe8/LyYlevXtWqN3r0aDZt2jStsjNnzrATJ06wn3/+mV28eJGFhYUxLy8vlp+fX+/z6tP+3r17DADLyMjQqV9zp1KpWGFhIVOpVHq3rev9wNDPb5qJIU1eeXk5duzYgcDAQDx8+BB+fn64ePGi1jn6tWvX4t69e3jnnXdMGClpTIwxPHnyBI8fP4ZMJtOpzcCBAyGRSCCRSJCQkIChQ4di+PDhyMzMBACkpaVhwoQJ8Pf3h5OTE9q2bQsA3F1twcHBCAsLQ3BwMN59911ER0ejsLAQAJCcnIyysjIMGTIEDg4O3OObb75BWloa0tLSoFQqtU6BuLm5oUOHDnXGnJaWhvLycvTr148rEwqF6N27N1JSUriyrl27arUTi8XIy8urs+833nhDa1uHPn36IDU1VWtdnppmPAyJr75+gMqZmHHjxuHu3buIi4tDfHw8AgMDMXPmTK2Y5HJ5tbWehg8fjnfeeQddunTB4MGDcfr0aQCVM0C60LW9nZ0dABh8SpPUjVbsJU1afHw8Zs+ejQcPHgAA+vbti927d2P37t04fvw4Hjx4ACcnJwBAx44dTRlqs1NXIsHn87V+ruvD1cpK+7vYy7fQlpaW4tmzZ9wpKqlUiocPH6Jly5b1biUhEokQEBDA/dyzZ084OzsjOjoaGzduREREBPz8/BAdHQ0fHx+o1Wp07tyZuxCVz+cjJiYGv/zyC3788Ufs2bMHK1euREJCAnfK6fTp02jZsqXW89rY2KCgoKDO2GrD/nuq6uU9pBhjWmVCoVDr9zwej4vpVYhEogaJr75+ACApKQkbNmxAQEAAiouL4eTkhMWLFyMiIgKZmZnw9/cHAHh4eHDJY11xd+nSBampqfU+rz7tNafI9L3ehujGLGdivvzyS7Rt2xa2trbo2bMn4uPjTR0SsSAymQzff/893nnnHfTv3x8PHjyAu7s7du7ciTFjxmDIkCHYsWMHfvvtN3z33XemDrfZEolEtT5e/tZcV13NN93a6rZo0QIdO3aEt7e3VsKj2TxSKpWipKREp2sWeDwerKysIJfLUVBQgJSUFKxatQpvvfUWgoKCavyg5PF46NevH9atW4ekpCRYW1sjJiYGHTt2hI2NDbKyshAQEKD18PPzQ0BAAIRCIW7evMn1VVhYiMePH9cZY0BAAKytrXH16lWurLy8HHfu3NHaUsMQVWPR/Ny+fftqSacx4ktPT8eLFy/Qo0ePauWaW601unfvjuTk5Dr7UygUSElJMXiPtNra//LLL/D19YWHh4dB/ZK6md1MzHfffYeFCxfiyy+/RL9+/bB//34MHz4cycnJtGYHqVFpaSlSU1Nx584dnDp1ChcvXtT6QOratSvUajWioqK4ss6dO2Pbtm0YNmyYKUImRmZlZQVfX194e3ujoKAAeXl5UCgUyMvL05rlEQgEcHBwgEgkQnl5OcrKypCbm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&#39;&gt;&lt;/img&gt;&quot;},&quot;nodeType&quot;:&quot;DOM&quot;,&quot;type&quot;:&quot;node&quot;,&quot;instanceArgs&quot;:{&quot;namespace&quot;:&quot;html&quot;,&quot;tag&quot;:&quot;div&quot;},&quot;children&quot;:[]}]})</unsafe-script>"},"nodeType":"DOM","type":"node","instanceArgs":{"namespace":"html","tag":"div"},"children":[]}]}]})\n", "" ], "text/plain": [ diff --git a/lessons/notebooks/12_Dynamic-Latent-Variable-Models.ipynb b/lessons/notebooks/12_Dynamic-Latent-Variable-Models.ipynb index 2f01ce0..2a253e9 100644 --- a/lessons/notebooks/12_Dynamic-Latent-Variable-Models.ipynb +++ b/lessons/notebooks/12_Dynamic-Latent-Variable-Models.ipynb @@ -143,7 +143,7 @@ } }, "source": [ - "- Similar to our work on Gaussian Mixture models and latent Factor models, we can create a flexible dynamic system by introducing _latent_ (unobserved) variables $z^T \\triangleq \\left(z_1,z_2,\\dots,z_T\\right)$ (one $z_t$ for each observation $x_t$). In dynamic systems, the latent variables $z_t$ are usually called _state variables_." + "- Similar to our work on Gaussian Mixture models, we can create a flexible dynamic system by introducing _latent_ (unobserved) variables $z^T \\triangleq \\left(z_1,z_2,\\dots,z_T\\right)$ (one $z_t$ for each observation $x_t$). In dynamic systems, $z_t$ are called _state variables_." ] }, { @@ -168,7 +168,7 @@ } }, "source": [ - "- A very common computational assumption is to let state transitions be ruled by a _first-order Markov chain_ as\n", + "- A common assumption is to let state transitions be ruled by a _first-order Markov chain_ as\n", "$$\n", " p(z_t\\,|\\,z^{t-1}) = p(z_t\\,|\\,z_{t-1})\n", "$$" @@ -179,7 +179,7 @@ "metadata": { "collapsed": true, "slideshow": { - "slide_type": "fragment" + "slide_type": "subslide" } }, "source": [ @@ -390,6 +390,21 @@ "INsert a picture here similar to lesson 13 that demostrates the result of Kalman filter-based estimation of the position after 10 time steps" ] }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "### Extensions of Generative Gaussian Models\n", + "\n", + "- Using the methods of the previous lessons, it is possible to create your own new models based on stacking Gaussian and categorical distributions in new ways: \n", + "\n", + "" + ] + }, { "cell_type": "markdown", "metadata": { @@ -400,18 +415,29 @@ "source": [ "### Recap Dynamical Models \n", "\n", - "- In short, it is possible to analytically derive the Kalman filter for a linear dynamical system with Gaussian state and observation noise (eventhough it is not a fun exercise). " + "- Dynamical systems do not obey the sample-by-sample independence assumption, but still can be specified, and state and parameter estimation equations can be solved by similar tools as for static models." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { - "slide_type": "fragment" + "slide_type": "slide" } }, "source": [ - "- If anything changes in the model, e.g., the state noise is not Gaussian, then you have to re-derive the inference equations again from scratch and it may not lead to an analytically pleasing answer. " + "- Two of the more famous and powerful models with latent states include the hidden Markov model (with discrete states) and the Linear Gaussian dynamical system (with continuous states)." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "- For the LGDS, the Kalman filter is a well-known recursive state estimation procedure. The Kalman filter can be derived through Bayesian update rules on Gaussian distributions. " ] }, { @@ -422,19 +448,18 @@ } }, "source": [ - "- $\\Rightarrow$ Generally, we will want to automate the inference process. This issue is discussed in the next lesson on inference by message passing in factor graphs." + "- If anything changes in the model, e.g., the state noise is not Gaussian, then you have to re-derive the inference equations again from scratch and it may not lead to an analytically pleasing answer. " ] }, { "cell_type": "markdown", "metadata": { "slideshow": { - "slide_type": "slide" + "slide_type": "fragment" } }, "source": [ - "### Extensions of Generative Gaussian Models\n", - "" + "- $\\Rightarrow$ Generally, we will want to automate the inference process. This issue is discussed in the next lesson on inference by message passing in factor graphs." ] }, {