{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Copula - Multivariate joint distribution" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "execution": { "iopub.execute_input": "2023-12-14T14:44:20.386615Z", "iopub.status.busy": "2023-12-14T14:44:20.386365Z", "iopub.status.idle": "2023-12-14T14:44:22.107212Z", "shell.execute_reply": "2023-12-14T14:44:22.106270Z" } }, "outputs": [], "source": [ "import matplotlib.pyplot as plt\n", "import numpy as np\n", "import seaborn as sns\n", "from scipy import stats\n", "\n", "sns.set_style(\"darkgrid\")\n", "sns.mpl.rc(\"figure\", figsize=(8, 8))" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "execution": { "iopub.execute_input": "2023-12-14T14:44:22.113188Z", "iopub.status.busy": "2023-12-14T14:44:22.111421Z", "iopub.status.idle": "2023-12-14T14:44:22.125860Z", "shell.execute_reply": "2023-12-14T14:44:22.125029Z" } }, "outputs": [ { "data": { "application/javascript": [ "IPython.OutputArea.prototype._should_scroll = function(lines) {\n", " return false;\n", "}\n" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "%%javascript\n", "IPython.OutputArea.prototype._should_scroll = function(lines) {\n", " return false;\n", "}" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "When modeling a system, there are often cases where multiple parameters are involved. Each of these parameters could be described with a given Probability Density Function (PDF). If would like to be able to generate a new set of parameter values, we need to be able to sample from these distributions-also called marginals. There are mainly two cases: *(i)* PDFs are independent; *(ii)* there is a dependency. One way to model the dependency it to use a **copula**." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Sampling from a copula\n", "\n", "Let's use a bi-variate example and assume first that we have a prior and know how to model the dependence between our 2 variables.\n", "\n", "In this case, we are using the Gumbel copula and fix its hyperparameter `theta=2`. We can visualize it's 2-dimensional PDF." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "execution": { "iopub.execute_input": "2023-12-14T14:44:22.131727Z", "iopub.status.busy": "2023-12-14T14:44:22.130281Z", "iopub.status.idle": "2023-12-14T14:44:22.836195Z", "shell.execute_reply": "2023-12-14T14:44:22.835501Z" }, "tags": [] }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from statsmodels.distributions.copula.api import (\n", " CopulaDistribution, GumbelCopula, IndependenceCopula)\n", "\n", "copula = GumbelCopula(theta=2)\n", "_ = copula.plot_pdf() # returns a matplotlib figure" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "And we can sample the PDF." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "execution": { "iopub.execute_input": "2023-12-14T14:44:22.840477Z", "iopub.status.busy": "2023-12-14T14:44:22.839696Z", "iopub.status.idle": "2023-12-14T14:44:23.726841Z", "shell.execute_reply": "2023-12-14T14:44:23.726132Z" }, "tags": [] }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/opt/hostedtoolcache/Python/3.10.13/x64/lib/python3.10/site-packages/statsmodels/tools/rng_qrng.py:54: FutureWarning: Passing `None` as the seed currently return the NumPy singleton RandomState\n", "(np.random.mtrand._rand). After release 0.13 this will change to using the\n", "default generator provided by NumPy (np.random.default_rng()). If you need\n", "reproducible draws, you should pass a seeded np.random.Generator, e.g.,\n", "\n", "import numpy as np\n", "seed = 32839283923801\n", "rng = np.random.default_rng(seed)\"\n", "\n", " warnings.warn(_future_warn, FutureWarning)\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sample = copula.rvs(10000)\n", "h = sns.jointplot(x=sample[:, 0], y=sample[:, 1], kind=\"hex\")\n", "_ = h.set_axis_labels(\"X1\", \"X2\", fontsize=16)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's come back to our 2 variables for a second. In this case we consider them to be gamma and normally distributed. If they would be independent from each other, we could sample from each PDF individually. Here we use a convenient class to do the same operation.\n", "\n", "### Reproducibility\n", "\n", "Generating reproducible random values from copulas required explicitly setting the `seed` argument.\n", "`seed` accepts either an initialized NumPy `Generator` or `RandomState`, or any argument acceptable\n", "to `np.random.default_rng`, e.g., an integer or a sequence of integers. This example uses an\n", "integer.\n", "\n", "The singleton `RandomState` that is directly exposed in the `np.random` distributions is\n", "not used, and setting `np.random.seed` has no effect on the values generated." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "execution": { "iopub.execute_input": "2023-12-14T14:44:23.731966Z", "iopub.status.busy": "2023-12-14T14:44:23.730419Z", "iopub.status.idle": "2023-12-14T14:44:24.525565Z", "shell.execute_reply": "2023-12-14T14:44:24.524856Z" } }, "outputs": [ { "data": { "image/png": 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IiGQMzLKMTWKJiIhIxsAsy9gkloiIiGQMzLLMKk1iQzYB3rCEjv4gvGHJlCnUTByTiIgon7H4P8vkJrHb9ncm/C7SJDbDqywzsfiACxqIiPLbWE8xAuGhchu7XTnPI4oSRHYKSAozZlmW7SaxmVh8wAUNRET57+ZZdfjnfzgHoiihrKwIHk9xwn8VHjds/MxPCjNmFpDNJrFGFh947Mn9UWXimEREZC2/e/sQjnr96B8ModsXTPj92Eo37viHSbDZBGbNksDAzCKy1STWyOKDyJiyeEwiIrKWnR3d+ODT3mwPI+9wKnOUy8TiA6ssaCAiIso1DMxGOXnxgZLI4gMLHJOIiGg04BVylMvE4oNsL2ggIiLKVZxToowsPsjmggYiIqJcxcCMAGRm8UG2FjQQERHlKk5lEhFRDO7aQZQ9zJjRiArZBIXpTWbSiKyCu3YQZRcDMxox/MAnsraQLfFvFDi1a8fDrQ38IkWUYZzKpBHBbZqIrM/Irh1ElFkMzGhE8AOfyPqM7NpBRJnFwIxGBD/wKRtYxJ4c7tpBlH05/1f2s5/9DC+99BIOHDiAwsJCNDU14fvf/z4mTJiQ7aFlRK4Wz/MDn0YaaxqTJ+/asW1/Z8LvIrt25MDnDVEuy/mM2VtvvYX58+fj97//PZ566imEQiEsXrwYPp8v20MznV8QcOfm3bj6kW244adv4OpHtuHOLXvgF6yfBeA2TTSSWNOYGu7aQZR9OZ+m2LBhQ8y/161bh0svvRR79uzBRRddlKVRJUo305WLq6Xin/Oa1kas2roXr+w7FrnNqQ981piReYzUNHrsDM6UcNcO68nVmRJKTc4HZvF6e3sBAOXl5UnfN53Ek3xfpWP4IWCZwpTKmrkNKIKxPy4jF5pKh3UuNGrP+cHWRiz90iT0+E99wDglEVAYutY5peQEhaEP9sMdXpS47Chx2uDM4+k8IzWNlSXOtB4jn9+fTklCpUM4dY4kSfFv1Gz5fE5Tlc71w0rn0wpjyBV5FZiJoog1a9Zg+vTpOOecc5K+f1VVadpjiD/GSV8A39vUpprpemxeE8rdLt3jHu7wav7eFwjjnNM9yQ84A7Se84otu/HYvCbUf07/OcvMeF1Gs6Pdfix9dmdM3dBl9dVYd8NUnFlRlMWRZc5JsU/z9xVuF6qrS0x5LL4/zcdzOsSs60emzqfDYYfTadf8PQB4PMUZefx8lVeB2apVq7B//34888wzKd2/q6sXqSYRBGHozR9/jBMhSbGQFgD+ur8Tn/UMIOgb1D1+SYEdS2bVoWlcBQZDIgqddrzX4cXG7QfhC4ThdtnR2dmb2uBNZtZzVjunZFxQELBUYQr8r/s7sfTZnXi4tSEvM2duu6BZxO62I+2/F74/zcdzGivdz1K981ldnV7AFgqFEQyGNX8PAF5vP8JhToUbPd95E5itXr0ar732Gn7961/j9NNPT+kYkoS0Pwzij2FkSiWyybeGAocdbR1ePP5qe+RnzXVVWD+vCb99qwOlThski9QcmPWcZWa8LqNVb2h01lo5pKEi9uXP7Ym5sEXXNJr1luL703w8p0PM+iy1wvnM9uPnkpwPzCRJwv3334+XX34Zv/rVrzBu3LhsDymGGW0ihgr/d2FH3AV2R3sXBABrrzvPUoW5bI1hHWYHybmEReyU6/hZOjrl/Ku6atUqbN26FU888QSKi4tx/PhxAEBpaSkKCwuzPDpz+gJpFf5vb++CPxhGoYWyHlbshTRaVzWN9g92hyjBYxdOBZ+j4DWn/GHFz9JoYz3FCITVH3+sxw0AEFj5n5Sc/1TetGkTAOCb3/xmzM/Xrl2L66+/PhtDiiH3BdKaUtGTa1kPM56zmUZzo1Grf7ATkTqrfZbGu3lWne5tRFFCaVkhur0+iPysMUSQpDy/MiWhszO94v/q6lLVY6STsfGGJVz9yDbV3790x0xL1gmlm6XSO6dGx3CnQvE7MPThZsX+b2bzC4LqB3uhxGm9VJnx/qRYPKfKUv0s1Tufp52WXvH/794+hKNev+ZtyoqcWDxzIrzefoRCo/vzxuj5zvmMWa5IZ0olV7MeVphGYqPR2ForeQUva62IcocVPkuV7Ozoxgefaq9urq1mq4xkcR+cHMBtUlLHzdOHOMShhqHn13hQ6RD4niEisihmzHKEmSvMkk2L53Lh/GgvficiotzCq1IOiU9nhzBUf5ZMwJRsIbzq7VsbMRgKx2ytZMVgLVengYmIaHRiYJajUllpmOxG6Fq3X7Z5F86v8UQa3lp1laPVVzURERFFY2CWg5INsGTJFsLr9U9b2Fxr+LGziY1GiYgoV7D4PwcZCbAU75dkIbze7Qfjlj5rPXa2ydPANcVOeOwsficiImtiYJaDUl1pmGwhvN7tCxyJb5/RssqRiIgoExiY5aBUVxrKhfBKIoXwBm/fXFeFtsPdSY+NiIiI1DEwy0HJBliyZPuhqd2+pa4KC5trsXH7QcOPTURERPqY3shB6aw0TLYQXun2RU47Vm3dC18gnNRjExERkTYGZjkqnZWGyW7vkXh7EffPmYw7vziJqxyH5XITXiIisg4GZjksm/unWXXvtmxIpaccERGREhYEEaUhZBOwfIt6T7mQLb83SCciInMxMKOcFLIJ8IYldPQH4Q1LWQuAUu0pR0REpIRTmTlsNNY1hWwCeoIijnT6IAgC3uvwYuP2g7hgvCcrU4dGespFpnuJiIh0MDDLUaOxrknpOTfXVWH9vCbcvqktK1tCpdpTjoiISAmnMnNQPtc1RU9RnghJOOkLRH6u9Jx3tHfhqR0HsailNitTh6n2lCMiIlLCr/M5InrasrjAkdRm5Ok+3khNkyplxC4bzgL6NWq5drR3YdHwhuojPXWYTk85IiKieAzMckB8wPLE/Omat083OMnGNGnIlviYAPDX/Z1Y9twe3PGFes37yxuqZ2PqMJ2eckRERNEYmFmcUsCitHl4tHSCE7UASZ4mzVQNl97qxuVfmax5/wKH7dTUYRYWQFi5r1t09vOk1Ae3TYAjT+sQiWjkjPUUIxDW/iwZ63EDAOz2zJV1iKIE0UKfueliYGZxSgFL2+FuNNdVYYdCIJNucGKk/UO606SKj6uzulEQhp5b9HShrLmuCsd6Bzl1qGA0LhJJxWhc4UyUrptn1Rm6nShKKCsrytg4wqKIbq8vb4IzBmYWELIJ6AuJECVAkoD+wVMXh35fMOH2G7cfxPp5TQAQE5yZUdeUavsHoxc2tdvpZflsAlRruVbPbYBbAERI8IYkXlyHZSv7mWsYvBKl5ndvH8JRr1/3dv2DIXQrXMvMMLbSjTv+YRJsNoGBGZnDLwhY/fxefO3i8Xhqx8GEQGv13Aa4XfaYDcN9gTBu39SGRS21uOvL5+JYzyDGeopQZkJdUyrtH4xe2LRuV+YUVDNiM+urUeIYCrKUa7kk+JG4anO0X1yzlf3MJQxeiVK3s6MbH3zam+1h5B2u5c8iuQXEuWeWJwRlwNDFYeVze3DPnCkJ9/UFwmjr8OJPez7D4qffgQCYcgFJtv2D0dYdereTMJQRi3/sy+qrsaa1MfLc5FqummInPHYBDlFKuX2IVXYPyBQj2c/Rjjs3EJHVMGOWRfJFYUFzLR5/tV3xNtv2d2LF7MkJ2aTmuiosbK7F7Zvaho5lUpsIvfYPAiR4w6emC6WwZCgrYzR7E58R+1xZIYK+QWiFnKlkhkbD9BWb3+rjzg1EZDX8ZM4iCcCGmy6E26X9MvQNhLD62gYc6OzHYEhEgcOGtsPduH1TW2SK08yLrFr7h5Ak4QdxwcyGmy7UPJZ8YTN6AYxe3SgIQLnbhU7foO59jRxbpjR95XbZMW1cBY50D6DAYcuLGjU5+6k2PZytFaxWwuCViKyGnzpZ4hcEPLB1D7a1d+kGN6WFDhTagF+8/tGIXWTj2z+EACxTmC7UU1roQMgmoLggvQug1uKCZC+u8Rk2t8uO9fOa8NSOgzGZy1zPoLH5rT4Gr0RkNQzMsiA+Y2Ok/UW2L7Jq04V6Yy9y2nHn5l2YVuNJucWHHwKWaUw7Jntxjc+wLWqpVa3xy/UC8PjsZ4XbBbcdDMqGZfvviogoHgOzLIgPcoy2v8hmh3m16UJ57DZBSLiwPdjaiFXPD2UF3+3oTqnFx0lfQDFTFx80JXNxjc+gNY2r0Kzxy/XVi3L2s7LEierqEnR29mrW7I023LmBiKyEgVkWxAc50e0vFjXXorTQgYoip+LFIVsd5tWmC+Wxv3BbC4Lh2AtbXyiMVz44HnM7+TkOhkRMqC5GuUv7AtjZFzBU2J/MxTU+wyZv56SGBeD5z8o7NxDR6MJ2GVmgFOT4AmE8/mo7Fj/9DkJhCYUOaxWea7XRuGC8B4U2JLSx6PEnBqDyc7zlN++hfzCk+xx7BrSbEkYHuUqtNJTIGTb5+WRyiysiIqJkMDDLAq0gp7muCq8f6NLsv2WWZPp4xQczslPThYlBkF5AU1zg0H3sskLtTFWqQZOcYXvpjpkY6ylKqndbsvK9XxoREZmHqYAsUKuJiu5N5guEM1rblEofr2RrcbSK8lvqqrB11yeR2i61x64ucWVs1ZycYQPUt3t6sFW9/s3INlSZ6pfGvR2JiPKTIEk52gsgAzo7e5Hq2RAEoLq6NKljnAhLOOL1x/Qm27j9YKQ32bPfvRQ1GahtCtkE3KmwDQ0wFDSkuwpRDhr6B0OoKHZhZVzA01JXhQVRAajaY8vn9HBnH5apFPYXSsYLtPWCmQGbDYe9fnT7g5HX44NPerBy9uSEIMov6G8BlanzbOSxlaTyHiV1PJ/m4zk1l975PO200rSOv/zZ97O+JVNtdTF++I9N8Hr7EdKpF842o+ebGbMsEgAsfvod1d9nqrYpk3soxmeI3C477pkzBStmT0bfQAjFBQ5s3fVJQlCm9NhBQcDfj/Whxx/A6msbEAiL6Etx1Zxe5ipkE7Bs8y7F8zIYEmOCKKP7K2biPHNvRyKi/MYasyxKdl9Ks/RkaA9FpT0rfYEw7v7DLjzwwj6cWepC/2AIj7/anhCUxT+2XxjKNn3h//wF1/3kDVz5o7/ggRf24bQSl2Zhv9FxAbF7aSazZ6LR22Zir0ru7UhElN8YmGVRKgX16QrZBAR00r2pZuqMBA1GuvSnuil5OuNKJogyetv45+p22bFkVh023HQhnpg/HcUFjuSfCzcmJyLKa5zKzDKjBfVmFXv3BkW8fqAr5S78msdWCArcLjsWtdSiaVwFuv1BVBQ5sfb683D/1r0JWbOWuioUOe3oDYZNnQI0Eswks62T0dtGL34wa9snK+/tyAUJRETpY2CWBQkXMJug2dzSzJV9vQMh1Z0GmuuqcN81qdcoKWWI1IKR/17SjBd2fYKf/eUAfIEwmocXBKzauhc3Xz5R9zkk0/DVSDCTzLZORm8bvfp22rgKU7Z9surejplafUpENNpwKnOEybVTVz+yDTf89A1c/cg23LllD/yCcgbI7Gm90kJHpAt/U40nMq224aYL0VTjgZjEKseEY8fVzGntQXnvf+/BmJJCbL5lBn6x4CI01Xhw+6Y2vLLvWNobnuuNK1r8XqRGppXjbytPUT7zTxfjn79Qj96gGHld5IzonPPOUMxQAsnVhmVj+luP2e9RIqLRjBmzEZTKijqzV/ZFZ1zi94ecWV+N+ReclVZfsOh+YFp7UO5o78Ki5lqs3roXTTWemNsJAkzNChndSzOZPm3ybftCImyCDff9927VKUqHKKF/UH861WgW0Gp7O2ZylS8R0WjDwGwEpXIBM1Iflcy0XrIbficrOmjo9mtvpzQYEiMBWjSboN7wNdUxGg1mktkz0SFKKHHYFHuVxQfbydSGGanVstLejma/R4mIRjMGZiMolQtYJoq9M51xiXTUL9K+GMt7VEZvIj6zvholw/uEPtzaAF8Y6PYFTBljJoIZo8G20dqwXKzVsvKCBCLKnLGeYgTC2f1cGutxAwDs9sTKLFGUIObgAiR+Yo6gVC5gmSr2HomMi9bYm+uq0Ha4G8CpAC0+I+aUJEwcE9W1Os0xZmLVoNFg20imMlebx1p1QQIRZdbNs+qyPQQAQwFYWVlRws/Doohury/ngjMGZiMolQtYpqceM8nInqAz66pRWezCH/95Jspd5tdJycFYz0AIwbCIHX/vimx7ZUYmKplgWy9Tmau1Wrn8HiWi1P3u7UM46vVnexjoHwyh2xdbOjO20o07/mESbDaBgRmpS/UCZubU40j3mpLHfjIg4uPuoT/gtsPdw6tCK3BT89mY//M38atFn0eVw9w6JKVpwea6Kqyf14TbN7WZkolKNtjWylTmcq2W1RYkEFHm7ezozvpemfmIgdkIS/UCZsbUo5n1S8kEeA5Rgt02FJA1javAlDPK8Ni8pkiA5guETa9DUpsWlFtWLGqpxeOvtqediTIzW5TrtVpWWpBARJSrrP1Jn6eycQEzs34plQCvxGHD+4e7FdtnZKIOSWtaMH4laLqZKLOyRazVIiIiBmajRF9IxLQaDxY012IwJKLQacd7HV5s3H4wqaxR2CZgR3sXFjTXYt7F42OOoxXgjXQdkt60YPRKUDMyUWYE26zVIiIiBmajhE2woa3DG5Oxiq63Mpo18kvA1l2fJGzlFDmORoA3knVIesFW9EpQK2WirFKrxX0viYiyg4FZho3UBU7rcUI2Afdt3p2wJVB0vZWRrFHIJmClynFsAH777UuGmsoWOVWf50hN4xpp1aGViZLPZ/9gCBVuFwJhEX0j9Rr2B1Fa6MCZpa6hxxnhgCgXe6kREeULBmYZNFIXOL3H0au3uvWKOkNZI812Du1dWNA7iMVPv5Pw+NmgNS143zUNECUR8y84SzEok8/nux3dWD+vCT98+cOYYHREX8PWRgyGwujxj0zmKld7qRER5QsGZhkyUhc4vcdZMXsyevza9VYO+1CmRu+in0zdlhUu5OrTgtLQhpwK44o+n0tm1aluwj5Sr+GyzbtwftReopkOeHO1lxoRUb5I3MOATGHkAjcSj3PE60fPgPaelb0DIVz9yDbcuWUP/IL6Rddo3Vb045v1PFMlT53WFDvhsQu6gVT0+WwaV5EQlMnSeW4hmwBvWEJHfxDesIQejddwe3sXmsZVxDzu8uf2IGTLTHBkpJcaERFlDgOzDMn0BU6+uBvZKLztcDea66oUfx+9NZLeRV+u29I7TjSl5xkfmMQ/nvz7Q31B/P14H4IawaLZoscbnQHUu61RfkHAnZt34+pHtuGGn76Bqx/ZhiM6nbPjx5HJgDfXe6kREeU6fspmSCYvcNH1SBtuulDztgUOGzZuP4gff306Zp93Bj5XVhhpl/HpST/OKC/Crc+8F7m90nRV2CbALwL+wTD++Qv1uOWKiTFbG0VvsRSvuCD2eerVw2W78Lyy2IUNN12IwZCImko3lsyqizzPeMm+hmpTlnriM5FA5nYBYC81IqLsyovA7O2338aGDRuwe/duHD9+HD/+8Y9x1VVXZXVMmbrAxV/c5WyY0pRbc10Vdn18Et+5fALO8hRh4/YDsQFPXRUWttQm3C/6oj8gCPi4ewCP/bk9tgC+rhqbb5kBUZLQ1nGqg3/840cnu/Tq4da1NmL55l2adXkAIjVjZUUOuB129AfDpqx69QsCVm6JHV9LVCuQ6OeXymuoNu2s9xoqZSIzlbliLzUiouzKi8DM5/Nh0qRJuOGGG7BkyZJsDwdA5i5w8Rf3jdsPYv28JgBI6C22uKUWAgR8ctKPVc/vSSxib++CiFPbE8nki37IJmB7e1dC37Kh+3Zi9da9uPtLkzGmrBBNNRUJj7+wuRbRs5S6dXeBsObve4IiHti6F9vau+B22bF+XlNCcb5adk2vbYla0Lg9bgsn+TFSeQ3Vpj7l19AmCDHvlZa6KixQyERmOnNllV5qRESjUV4EZpdffjkuv/zybA8jQSYucPEXd18gjNs3tWFRSy0WNdeirMiJYEjE6we6sOvjk3jr4Aksaq5VLWKP354o+qLfGxQxpqxQ874DoTCeefMQmmo8WDS8q0CBw4a2w9347VsduH/O5EgAoVeTpbdI4YjXHwmcFrXUGl4xaWR6VCto3N7eheWzp+DKc05L6zVUy3LJr+ELt7UgGD71Xily2rFq696ETN3quQ3IdNUd970kIsqOvAjMzJJOjbl83/hjOCUJlQ4BlSXDFzhJQjpXVaWLuy8QjmRzXv7eTBTah/alXDDjbPz7y/sx/+LxmseUi8tn1ldjTWsjnJIICEOBlF4BvARg+Vem4L7n98Rk3eKPpTb2aGWFxmummsZVKO67CZyqk6t0CAgqBGXybeQAzilJukGjbzCE8Wm+hsVOO1rqqiJZuGjTayrgsgkoFaLfKyLunzMZP/jipMgCgbbD3Zi9fjsuGO/BmrkNKILxgEntPUqp4fk0H8+puXg+h+Ta82dgFqWqqtQSx9Di9AVwWX01/qpQu3ZZfTXGlBai3O3C4/Oa8OGxPgDKxePRzq5y4//7l8tRXeJCudsV+flJsU931WdFkRMTx5Tg8XlN6OwLoHcgiNJCJ6pLho7T2RdAz0AQZUVOlLudmmP3FLtUfz+zvjqm1kovYPQFwjjndA/+fqxPc3rUFwYmjinFSbFP+3m6XaiuLtG8jZ4Dx/uwoLkWEhKnnRc012JQlHDWabHvn5O+AO7c0pZQqygHlo/Na4p5zYzI9Ht0tOH5NB/PqbkydT4dDjucTntGjp0uh2NoXB5PcZZHkjwGZlG6unqR6sI/QRh686dzDD1BYahO6vYv1OO7V0zE61ErI1vqqnB/ayOCvkF0+gYBAGXDGSqt4vKZ9dXwFNjhlKTIfeXH6R0IobqkAGuua8QDL+xTLO5/55AXhXYBRZBQbgPK3Q4AEnp8ASyLK6S/avIY3D+3ESue251Qd/dgayPsgSAenNuAZQp1eavnNmD2+u2Rn+kFm26XHZ2dvej2aQeW3b4AOjt74bYLmos13Hags7NX81h6vP3BmGnn6Gnf2ze14VeLPo9OIfYxToQkxTEBwF/3d+KzngEEh19vPSPxHh1NeD7Nx3NqLr3zWV2dXsAWCoURDCauWLeCUGhoXF5vP8Jha9THGj3fDMyiSBLS/jAw4xhKFOukhldGftI9gHc6vLh/617cP2dypLbKZbehua5KdYFAdBG7pPM4G2+6EIueficSnEW3yLhgvCempitkE7As6hhulx2LWmrRNK4Cf+/swz2zJ8Npt6HbF0BxwamaLQlAIWLr8ircLrjtQzOHF4z3RIIUvWCz1GmDJEqG2pZIEuCQ9BdrJPuyxi84qCweymypTcHKY4lmpB9esm0zMvUeHa14Ps3Hc2qu0X4+c+25MzDLAaptJoZXRjZFbdlz5xcnRXqQdfsCWNhcC+BgTKYGAMaUFaDAbkOhJBp6HAhDm5Qf8fpjsjy+QDih91l0IX306sn4GrRI8X1cYblceF5Z4kR1dQk6O4e+7UUHTnKwKQAxNVvxKyaTaVti5mINtQUHGxdchEW/eDsh+6i20nK0N3zVW01LRJRv8uJTvb+/Hx0dHZF/HzlyBPv27UN5eTnOPPPMLI7MHFpb9sSvqozOoBQXODB/w1sxU2fAULZp4/aD2HLLjMj9QjYBJwPa7SwWzDgbt/zmPcXfRz9udJYnmdWTeuIDp7IiBx667jyFPmanAqlk25aYsRpRq18bANwzZwru/sMu3bEAo7vha7abDRMRZUNeBGa7d+/Gt771rci/165dCwC47rrrsG7dumwNyxR+QcARr0/zNtGF8NEZlFKnDReM9yhOnUVf1OUL4DyDqzeVxDxu1P8bWT2ZzKbYiYGTCJdOIDXSfbn0+rWtmD0ZL90xMzKWMqcNEiR4Q1JCZmi0NnzVa0Zs1gbyqZIzeYc7vCh22ZnJo1FprKcYgbD13veSJGFspTvbw0hZXgRmF198Mf72t79leximky9OC6IyYkrkQvj4DIqRi3r0BVDvcSqKlGuZ4h83OssTEiUsmVWHpnEVka2g3uvwRhYtZGproXgj2ZdLry6sbyA0tKn68Fj8ErB8i3pmaDQ2fNVtRpxkQG8mZvKIhtw8qy7bQ9AUFkWIOfiFKS8Cs3wlX5ym1Xh0t11ae/15mF5TgaO9gZiMi95FPfoCqFdQP85TlDCtppS5kQPC1S/sQ21VMX75xkcxWbPmqG2OigscCNkEy2QbzKhpSqYuzGhmaLQ1fM3Eogcg/dfX6pk8opH0u7cP4ehwj0WrGFNWiPmXnI2eHj+CwTADMzKXfHHSWlV537UNsAvAPVt2J9Qtyd/gtS7q0RdAvdWbhaJoOHNTJElYNWcK7tq8KyHQk/+9YvZkbN31Cd4/3G2JbINZmZBk6sKsnBnKpkwselB7fdfMbYBDgKGAja8X0Sk7O7rxwafptREyW211MeZfcjbC4dzMlgEMzCxNvvjEb7sk97+aeFoxXIKApTobf2t9g5cfQ25p4RAEfP/qSbjryzZ4fQGMKSlAuetU8JVM5qY/qL735Y72Ltz15XMj/dGMZhsytUrPzExIMnVhmcoM5TqzFz2ovb7vHvLi455B/PjV/YYCcr5eRJRpDMwsLPriFL3tEjDUrHXlnCn4KGr/yHhGvsGXOm24avIYfO3zNQktLVrqqrDmuvNS33Bd5yJ2xOuPtI0wMtZM1vaYnQkxWhc22tthqDF70YPa67uopRaPvbrf8Kphvl5ElGn8FLEwrYvTvXOmYNnmXborKfW+wTtECfeqTDlub+/C8i27DWeL4rNZJRoXKbfLjrMqirDhpgsjiwK0HiHTtT2ZyIQYyS6O5nYYesxc9KD2+ia7apivFxFlGgMzi1O7OPUOTxPqraQ08g3eHwyjraM7YfXkro+7IUnAyYCI/kHtqUOlbNba689TvIi5XXZsuOlCPPzHDxKaw6plv3qDIt5VGKO8wjPd2p5sZUJGazsMo8xa9KD2+untuRofkPP1IqJMY2BmsqAgoDdkbg2U0sVJzgAY2ZpI72LWPxhK6M4vB09P/Lkdj7yyP+aY8cGTWjbr/q17sXHBRQAQcxFbMXsynvhze0xQJt9GLfulNEbg1ArP/sEQPO7Ua3uymQkZje0wRpra66u356pSQBf9evkCYbgjfcz4ehFR+hiYmehotx9LR6i/kXzB0FpJ+WCrsW/wFW4XfvjyhzH3X9RSi8f/3K5ae7Ni9mQIGLrg9YWU63d8gTAW/eJtvHBbC4LhoaCjpNABf1DEss27FceiVs+lNMbo5/zA3EYg6d0sT8l2JmS0tcMYaWqv77HewZQCcocoodIh4JzTPUNbhvH1IiKTMDAzSVAQsPTZnYobd+8/3o9xniJTu4NHZwDiV2yWFzkxEAxj9da9WDl7sm5QGAiLCQGPXu3NEa8fi59+Z6hlxzUNcLvskeyB/Lzl6cZAWERlVNDRMaAd5PQPhlBa4orprO60C2jr6Fa8/Y72LgTCIpBmmwKjmSvu35iblF7fMqcNzRMqOTVJRJbBwMwkvUEx8sFuaONuA7QCgPgMgPw4zXVVWNhcG9lgfDAk6hbG9ykURuvV3si/37a/E/c9vweLWmoj2Tu9561Vr+V22VFR7MKdCplHuSlt/Abg8nOoNKFNgV7mil3f1eVCwKr0+hYBnEomIstgYGYSszfuNhIAyBmAkwERBzr7UeCwoe1wd0zwYqhlhkKgpFd7E/37bfs7cfPlEwHA0PPWque6Z84UrNyivPpSlKShKVaFTJ78HDIZHLDru7pcD1g5lUxEVqF99VURDofR2dmJYDCoe9vu7m4cPXo0lYfJKfEbdysV4wOnAiUtIZuQsHeifN/lz+1ByHYqyHKIEvoHQ7jlN+9h8dPv4PFX2xMySnqtIORAKZq8qEBJc10V2g53x/zM5bBhxgTlRQjy2OXnLWf74h9zZn01ptdUaDalbRpXkfBzuRbILwi4c/NuXP3INtzw0zdw9SPbcOeWPfAL5nRiN9LrbDRK5v1KRETaksqY9fX1Ye3atXjxxRcxMDAAp9OJK6+8Ev/6r/+Kmpoaxfs89NBDeO6557B3715TBmxVpU4bLquvxl/3dyZMA8bXXYVECSGNTE6yzU7TbfWgVBi9cftBbLjpQtggYFv7qcxW9FRptLJCR1K9wNTquY72BjSPEU+uBRIgaQYHZmSz2PVdGbcpIiIyj+HALBQKYdGiRdi1axek4amJQCCAP/3pT9i+fTvWrl2Lq6++WvG+Ug5MZaTLKUlYd8NULH12Z8w0Xyr1ZkYCgNJSVySoqSx2pd3qQQ6UeoIijgxvSvvWRydwwdkeLGg+G06HDXZBwBsHuhLqvCKPofN2ig8QlaaP9ILIsZ4ivHTHzIRaIG9IynhwwK7vyhiwEhGZx/BU5u9+9zvs3LkT1dXVePjhh7F161Y8/vjjOP/889Hf34/vfe972Lx5cybHanlnVhTh4dYGTKgujkzT6dWbKU3z6BXHVxa7cNA7gPbj/Tg5EMJz7x/FbbPqFKcGh1aWGd/jsdIuoP60Yvzi9Y/w7y/vxyOv7Mfip9/BL1//CJ8rK0RbhzchKJMfQ2lKNPp2Q8GbNr1jlDlt8NgF1BQ74bELkedmJDhIlxnPLx8xYCUiMo/hT8wXX3wRDocDGzduRH19PQCgrq4OV111FR577DE88cQTWL58OcLhMP7X//pfGRuw1TklCQ4gMjWY7JYvgHozTLfLjo0LLsLK52Kn7JrrqjB1bDmunXYmVsyejD4DK8u0iuTjpxlLCh1475AXX/uPN/C1z9fEbKR+rHcQTkECJHN6gaV6jJEIDrLd68yquE0REZF5DF+t9u/fj/PPPz8SlEW77bbbMG7cOCxfvhwrV66EJEm48cYbTR1orpGDmyM92jVTStM8agHAPXOm4Mev7k+YspOzcU01HkwbW44anZVlRlbQRU8zesMS7h5uCKsUZL50x8xIcGlGF3ulzurFTjt8oTCO+ZVXW45UcJCLXfqjg/CTUh/cNgEOE8sLGLASEZnHcGDm8/nwuc99TvX3ra2tKCgowA9+8APce++9ADDqgzOHKKG8KLVMjlIAIAG4+w+7FG+/o70Li5prdet5Umn5kGwNkRmtB6I7qx/u7MNdm3fpBpIjFRzkUmuFkWpjkYsBKxGRFRkOzMrLy9HVpVxcLfvyl78Mu92Of/mXf4kEZ6OdXianzGlDCFCcVowPADr6tduTDIZE3Sm7VFbQZbOG6KQvgGUGV1taMTjIZtPVke67lksBKxGRVRm+otbX12PXrl0IBoNwOtUzMldffTUeeeQR3HHHHbj33ns1s2yjgVYmZ9W1DfBLSGioqpbR0AuAKoqcMVN2SkFBv087uFPKuGWzhqizL5BUIKkUHGQrOMp201W2sSAiyj2GA7NLL70Ub775Jv785z+rtsWQXXXVVVi/fj3++Z//GZ9++mnag8x10ZmcnoEQAiERrx/own+/fxRvf3QiZsWm22XHtHEVONI9gAKHLSaQ0AqQWuqqMM5TFMkOqQUFq+ee2tdSiVLwl+lpwvjAqcxpg4ShwKLbH8TTCz+PkChCEAQMBMModNrxXocXG7cf1J26zVZwpJetWn1tA070BzIaKLKNBRFl0lhPMQJha2XGx3rcAAC7feRWyYuiBNHEz3BBMthkbN++fbjuuuvQ2NiI//qv/zJ08L/85S9YsmQJQqEQ9u3bl9ZAR0JnZy9SvVYLAlBdXap5jJBNiNkDcsNNF2Lx0+9Efh/d82yHSiDhFwTFAOnB1kYUDQdI8Y8TbWZ9Nb5y3hmKtWoz66s1p7cykXnyC7Fd4+WVp/IiB7VzIje6HV9ZhAqVzvJhm4A/t3dhTFlhZEN1OaC7YLwno1soecMSrn5km+rvo197MwJFpdemNyhqjiF60QYlz8jfPCWH59RceufztNNKR35QI0AUJdhGcMeRsCii2+vTDc6Mnm/DGbPJkydjz549Rm8OALj88svxl7/8BX6/P6n75av4qaX4HQKM7LFZJOrXUelNYa2YPTkh82Yk+5VsDZFeIKeUVVrUUovHXt0fOQdq52RHexcEAA9ddx6gMma/BGzd9UlCQCdvhp7JqTy9bFX0a59uzZdaVnBNayPbWBBRxvzu7UM46rXe9b1/MIRunbIds4ytdOOOf5gEm00wLWtmODDTqy1TU1lZiZ07d+Kss85K+r75Jv5iHb9RuF7PsxODYThtAkptgmaApBcUfNztx5rWRviD4YwVyRuZQlQKIKPPgdtlx9VTPoemcRWYf/H4mIyXLxDG9vYu9AfDcCkEVyGbgJWbdysGdMBQwJfJqTy9esD41z7Vmi+tKdNVW/fiwdbGoYxkXBC+em4DmCsjonTs7OjGB5/2ZnsYecfwJOz111+f9HRkIBDAv/3bv2HevHlJDywfxV+s4zcKj8+gxTvU5TO0MbdeUCBJwLItu1HqtCV00DeD0U2tlQJI+RzIU5j/9scPsPjpd3DLb97Dol+8jbYOL9bPa4LbZVc9BqCeNXS77Giq8eCLDZ+DKA1NOWZik22tXQKUNoEHUtudQCs7+sq+YxgMhfFwawP+dMdMbLjpQmy46UJMG1eB2eu34wcmbvBOZHUhmwBvWEJHfzBjf/dEZjAcmO3fvx833ngjHn/8cYTDyoXj0Xbu3InrrrsOGzduhN1uT2uQ+SL+Yr1x+0EsbK6NBGfxWZR48u/jA5yAzYaukISDfQF0hSS4nXZcNXmM4jHkoEDO0GRCj4HVgIByAFngsMHtsuOxeU0octox7+Lx2LjgIiyZVQe3y44d7V14asdBLGqpBTAUyCkFF0pBjhzstXV4cc1jO3Djz94wFOimQl4wER+cybVxG7cfTLhPKm1H9IK5Hv/Q7x/YuheLn34Htw1vPv/YvCbM+3wNPj45gIBtdG4lRaOHXxiqu736kW244aeZ+7snMoPhK8GSJUvw05/+FD/+8Y/x2muv4aGHHsLEiRMTbhcMBvHYY49h48aNCIVCmDJlCh566CFTB52r4lc3+gJh3L6pDffMmYJlX56MoChiZl01trUn1gQ111Vh18cnsWRWHZrGVWAwJKInOFTQvnzzLmyPCoRa6qrwYOt5AIayJrKZddX4/hcnYfHTbwM4tSrPaFG/kdv5BQFHvD7N8yA/rtIq091HT2LDTRfiiT+3J2w7JdeGyc10m+uq8PqBLrx/uDuhPkspyDFSw2dm5lBxa6uO7oRN4IHUa76M9JiTs2rRCymip8xHsoUH0Ugb6X5+ROlKKjC78sorsXTpUuzevRvXXXcdbr/9dixevBjC8LeO3bt34+6770Z7ezvsdjtuv/12fOc732HGLIpSE1Sn3YbZj20HAKyf1wQRUuyqzLpqLGw5GwIE/Hz7gchFdcmsOrR1eBMCje3tXVi+ZRfWXnceFjbX4qQ/iAKHDW2Hu/Ho//ch1t0wFbdvakNZkUOzFswlDGW/5KAiHBRx2OuH027Dnz88jg8+6cHK2ZMjF3T5A3BBc63mOZCDCaU2HJKEhKAMiK0Nk5//wubaSJATX5+lFPQZ2bdUXs2Y7srTSBDbH0RpoQNnlrrgECU0T6jEBeM9prUdMdJj7mjv0LZgIx2YElkB+/lRrklq7qShoQF/+MMf8Mgjj+AXv/gFfvSjH+HVV1/FqlWrsHXrVmzYsCGSJVu7di0mTZqUqXHntMSO/oFIBuX2TW1Y1FKLRc21CIkSzigvhMMmoKs/ALtNQFONB20d3fAFwmgaV4GN2w/GZNGiC+QPe/2Y//M3Ex5/MCTinjlT4HbYE7Y6Ak5dqL/SeHpkj0zg1DTckmfeQ1NNBRY212L1C/tw/5zJcIhS5ANwWo0HzXVVCQEAkJgZig9UiwsceOSV/YrnTc6UAUB5kRPf2vhW5LwpbQsVH/Tp1fD1DIRw/9YPdXue6WUO9RY+pLo7gdrj6vWYkwNhI4EpL1CUb9jPj3JN0kUtLpcLd955J6666ircfffdaGtrw7XXXgsAsNvtWLJkCb773e/C4cjcNj35Jno6yhcI4/FX2yPTTg/98QPVdg8hUVKcmpJv0zuo/IG0o70LK+dMQX8wrPlNcsGMsxPuB8RmrZpqPJELuvwBuHH7Qayf1xRzH0A9MxQdqBrZdqq5rgqvfXg8ZjpQaUpPKejTEgglfrOOzybpBV1Gp02S3boonWBPzqrpBaa8QFE+yuaWckSpSLnq9/zzz8cXv/hFSJIEuUft1772NSxZsoRBWZKUVvBp9e+Si9/PKC/UvM0Z5YWqj9k3EEqq11b0sZvGVcT8v3wc+QNOrp1rqvEM1YvNn44NN12I1dc2oFDSDg70PiTLi5wJxfORPUcVVl3JQVBNsRPlLvWVkjPrq/H6Ae3pDiOrTfWmTXqCYtIrw4w8bvTzjF9lK2fVKoq0gy5eoCgfaa2QjmTwiSwkpXfk3//+d/zjP/4jnnzySdjtdsycORMA8Jvf/AaLFy/mNkxJUlrB1zSuQnEqEDgVEAVCouZtAhoZktJCR9K9tmTRAVv0xunRH4By5k9udfGL1z9CYdzhlAIpvQ9Ru02IKZ6fWV+NtXMbEZCgu+pKbaXkzPpq3HdNg+JKSVnvQMhQrYpesHvE6096ZZiRx9VTJEkY7ylK+QLFVgOUq7T+7ocy+KyrJGtJ+ivyxo0b8eijj2JwcBATJ07EunXrcN555+GNN97AsmXLsGPHDlxzzTW4++67cf3112dizDnHyGrG+Okovc+KwZCI432DmrfpGVCeFoy+CKsWjtdV4bTSAjwxf3pCY9fogK3S7USx0w5vMIze/iBWzJ6M9zq6cf/WvTHBU/wUpmq3+rkNmjVTTkHClltmxJxLQMLdBlddqU379YVE1f1DgeHVjQZqVZLNOhkpvDerRqZAEvHQDVOx9NmdSS0+yPZm7ETpSqe2k2ikGb6KHD58GHfddRfee+89CIKAhQsX4nvf+x5cLheAoU3On3/+eaxZswZ/+MMfsHz5crz00ktYvXo1xoxR7qk1GiRzUYuuPfLqbAyr1/MMAM6qKFLdekmAhN6QiPuuacB9zycGQbdcUYev/cf/RIIVuW7tmTcPRZqjfuHc03BGRVHCAoKZdVXYckszDnb1o7TAgXGeIhRGfQBq1WEte24P/q21IfIh6guE4XbZT32ISkioz/KGpaRWXSnVeJU49Fc36v25yB/2asdRayyrV3hvZo3MmRVFSV2g2GqA8kUqtZ1E2WD4E/3aa6+F3+9HTU0N1q5diwsuuCDhNiUlJVizZg2uvvpqrFixAq+99hquueYaLF++PLJAYDRJ56Km2QahrhqVxS7YbQJm1lWpblZe5rQpXoRDkoQfDI/L7bLj25dNwL9ePQnBsIiSAgf+X4cXi59+OyaDJO9NeX9rIz78rA+b/vfFGFtRhGVKqzrbu7Bq6x401Xjw+KvtCZujG6nD8tgFVDoEnHO6Z2gDXo0PUTMySoZWNxpoTRF/HLfLjkUttZgxoQo2QYA/GMaSWXWR7KORMRp53GQuMk7J+AWKrQaIiEaW4RqzgYEBfOMb38Bzzz2nGJRFu+KKK/DCCy9g9uzZOHnyJO666660B5qL0qkN0qqLePC6RpQU2BEOi1g9vFF1/G2GsmJICMoEDG3HFD2uxrPK8W9/+gA3/vQNHO324+7NuxWn9ba3d+Fgpw/f+dW7mPfkm+jw+lWfX/QigfjnaiSQSoZZGSV5uuOlO2bi2e9eipfumImHW08tWDBaqyIf5+XvzcTzS1rwfocXX//5m/jak/+DhQrbSumNMZs1Mma/VkREpM1wxuypp57CJZdcYvjA5eXl+NGPfoSrr74a9913Xypjy3npZnK06iKKbAJKSlzoC4lYMXsyJAnoH1TOislm1lfj3msacNeXz8WdkoBX//YZAMSs7NRrqTAQPBWwnfTrt7ZQeq5mL18vctrRUlcVs/uBLNmMkt50h9FaFcfw9OidChnT+LYjWmM8VZ8YxD2zJ8Npt6HbF0BxwcjUyORjqwGjO10QEWWD4U/VZIKyaF/84hdx0UUXpXTfXGfGRU0tUNCqXQMSs2LAUObq3v/ePdyk1oslV9ahuqQAP/vLgchtjO7Xmexto5+rmVNzIZuAVc/vwYLmWkiI7Zs2tDVVah31tRitVdHKmMrNcrUK73XrE0cgmDB7GjXbuJCBiKxuRBq4VFZWjsTDWE6m+ufo9bXS2kRcnmLc0d6Fx//cjnc+OhHZEBwA2g53RzZVjxdfvG70tvHPVa9tRV9INNyOoTco4pUPjiv2TTu/xoPBkPpKy0zTy5iWFzmxYvZkHOsbTGhBYaR32UjIp1YDVjmnRERacm8eIocYKShPhVYm5t1DXsONY+WszZiyU41o1br2y9sx3b6pLeG2NkGIeX7Rt1V7rtFTgj0DIQRCIl4/0IVrHt8OXyAcaZ2hey6Gn6vcNy3eleechoo0utmrTXsZmQ7Ty4gGQiK++Mi2yL+jMzdWKrofiVYDIzG9aKVzSkSkhoFZhmld1OIvRon1Q8n3tVrUUqvZWBaInWIcDIkx/5a79i9qqcWtV9ShwGFDSaED7x3yxjR2lW+76c1DWNvaCF8wHNns3DX8PLbcMkPzAu4QJZQ6bQn7UwKnWmc8PhwkqiktdERWPirtF6oVHKWy5+VVk8fgntlTsCK+RYjCdJjWNGBLXVXCTgPRq3V7dbamGuntkzLZamCkphe5ZyIR5QIGZiNA6aKmdDGSM03zN7yFC8Z7VC9MWsFG07gKvH6gS30T8brqmOnIAocNZ3li+535AmG8f7gb/zh9bGRF4oyJ1ZheUxFTYN9SV4WV1zSgQBRREP38IKHEnXgBVwqE+hT2p5Rt29+Jzr4AyjVmfMucNmxccBEee3V/wn6hGxdchDKVGqhU97w894wyLNuyK+HcKrVA0cqY3jTj7JjsY/RxeoOiaUX3CcG/L2DofiNlJPuk5eNCBiLKP/wkyoKQTcDq5/diWo0HC5prY7I8z7x5KLJaT+3CpJWJAbSnI1fMmYzrnng98u9jvYOYMqZYd6rKLYl46Lrz0BsIo2cgiLJCJ0pddrg0prPkoKB/MISKYhdWKgRC913TALfLrtp1v3cgiHK3+ttUAvDjV/cr7hdqEwQ83Jo4HWokGFCb9moaV6E4ZSrfP346TCljKgG47onXNZ5zCGeWutIuulcKPi8bDj4LYY3asJGcXsy3hQxElJ8YmGVBX0jE1y4ej6d2HEzI8ixsroVjeO9EtQuTViZmrKcoZjpy0XDgV+Cwoe1wNz7pHoAvEEZzXRVum1WPsWWFkQBMb6rKJYqocgioKhna7SGEoa77SlOB0UHBkll1aOvwKmaZ7nt+TyQQVVJa6AQ0gohULuzJ7nkZPVXqdmn/yShNh8VnTL1hSXf7p3TrE9WCz78OTxGvvrYBJ/oDWW8XMZLTi5mq+SQarcZ6ihHQ2aUm3431uAEAdnvi1I4oShBT+GxlYJYFohTbO0wm//v7V0+K/EztwqRWuwac2v8yPtiZWV+NOeedgRdub4HbaUeRDbCneDHSmgp0Coj5nV6W6ZYrJkZuF5093Hf0JEoKHUBAvd4qlQt7Mnteul12rJ/XFAmiN9x0oeZ9jUyHGc3cpFN0rxd8Hujsx+Kn34k8ZrbaRYz09CL3TCQyz82z6rI9BEsQRQllZUUJPw+LIrq9vqSDMwZmWSBJUKz/AoZ+fteXT2V49DrCx2e5BgQBt14xEaIkxTzGzPpqrJwzBQc6++G02/BZzwBaJlTCrnJsLXpTgStmT475nV7TWofdhrYOb0zw1lJXhXvmNMA3GEKpxkxWKhd2I/eRg6dp4ypigmi5RYhi/Z7B6bBkMjepFt0bXZkLZHffy2xML3LPRCJz/O7tQzjq9Wd7GFnXPxhCty82gTC20o07/mESbDaBgVku6B/UvmjKL3AyF6aQTUBPUMQRrw82QcCi5lr875YJ8AXDKHDYcKxnAC/u/gT//vJ+AEPTprXVxTi7vAD2JN80untd+mOfn14jWrfTjraO7pifbW/vwuqte3DfNQ3Qih5TubAns+flke6BmIBRrX4vPqjSW/GZ6cyNXvAZ/5pkq10EpxeJctfOjm588GlvtoeRdxiYjbCQTUBxgfZp97hduGryGNw7e4qhC5PWCs/v/+f7kXqm6Gk4Oah4sLURBUn2kNLLxrgLYiMprSxTc10V3j/SrVhntqO9C2FRAjSChVQu7EbvIyCxui2+fq+00IGKImdMUGW0/UMmMzdawWd8o2BZttpFcHqRiOgUBmYjSL5gT6vxYGZdlWLWqbmuCrs+PolVc6ZorngEhoK8ARFYqdDNPH4/RgBwuxzYuOCiSI+vHe1dGAiKuOeFvUn1kFLKxkQXyPsDYWz63xdjx9+7sHH7QUNNax9T6VfmC4QBp/bbNJULu959QjYByzbvxoLm2oT7RjezfemOmUNZpuGgaiTbP2hRCz6VGgXLstkugtOLRERDGJiNkOgL9rsd3dhySzNWbd2jGqhsuWUGXBqZIjnIW9Bcq7sfo8wXCGHx0++gua4K6+c14fZNbfj05IBi247VL+zD/XMmKwYR8dmY+AJ5WUtdFZ7535eguz+AwbCI5V+ZDEBAxwkfnHYBbYe7I01r1erQyou0V2XKoi/sRrvIawUD8nTttBpPUjVlVuouHx98lhQ68F5Hd0KjYEB92pcbfucPvpZEuYGB2QiJvmD7AmEc7OpHU40noZ2FfNHUmlaSg7x3O7rxL1e7sOGmCxM63gND2bLTSgvwxPzpqHA74Q+E4XbZI0HGrVdOxPgqN5wOG076g5H77z16El+/eDz6QiIqFPYPjM/GLGqpVVxlOtSM9gOcX+OJBGzNdVVY3FKLXR+fRNO4CvzwxmkodNpRXeJK6Gc2s74a1SUuBH2Dhs+zWV3k5elaozVl8ffTOm62OvYLwlCD4QvGewxN+5p1LhkQZB83byfKHQzMRkj8BdthE1RbSADa00q9QRHvdnRj/bwm/J+X/pZQW/b415sgQMDPtx9I6JMmZ8raOrqxem4jVjy3WzFr98ybh7D0S+eqjqFIkrD62gYc6OzHaaUFqs9le3sXFkZl7Xa0d8EGAV8+7/RIuwYAmBk1tshema2NKHe70GkwMEt1GlFeONHjD6G4wI4ipx1VxacCRaWecBOqiyO7IkSzcnd5PwSsen4Ppo2rwIIZZyMkShjnKYLdJuBY32DCXqBmTMmqBQRr5jbAISCnA7agIODvx/rQ7QtaevxWmV4nImMYmI2Q+AtyOm0XegdCqlmqocAH+PJ5Z6j2SVvUMhQo3RcXlEXf/84vTYbLboPWNOKJ/gAWP/0Onpg/XfU2QGK7jG3tnVjQfHbcz7oAQcDmW2ZAwNB0qVMh8NGSyjSi2sKJ22bV4xcLL8KCp95O2CB9Zn310I4CCsPLVPuHdLNOcs3ctvYuvLLvWGT6+cEX9yVkAh+c24ABE6Zk1QKCdw958XHPIH786v6czeDkUgbKStPrRKSPgdkIib9gb9x+ED/++nTMPu8MfK6sMDIV+VnPAGZOqNIsXC8tdGg3bW3viilaj9/ku6bSDVGSIlOeivfvHcDDf/rI0CIAvXYYSr9Xqinbtr8TAoZ2IAgBOBGScLjDi2KX3VAgkuw0olrgIAcqc6aeiXvmTMHdf9gV+Z1eG4dMtH8wIwiIvzirBfZyFuWOL9RrH0/hXBrdB3VRSy0eU9hGK1cyOLmWgbLa9DoRaWNgNkKULtgSJPzfXZ8kXHCbJ1RqHkvu8K9FDnzUCvNn1lXHTB0q3V++0KxrbUR/MJyQrZGDTb12GEqtGdSCuf7BEAqLXSkFIslOI2plEuSFE2M9RXjpjplJtXEokiT8W2sD/CLgC4bhGwyjvMgBhyAZWccQIz4IiA6y9x/vxzhPUUpBq95uDEMLNdRFn0u1wFFtH9Rk9xu1mlzLQFl5ep2IEvEvcgRFr5KTADywdW9K37odooSxnsTtH6LJgY9qZqS9EyIk1X0q5ftv29+Jw91+bP97F5rGVeCz3kF43E6MrShCoSjiwbkNWP3CvkgdWfTjtNRVYYFCa4bmuioAQ33VQqKEM8uLMBgK43jfICrcLixXaP9h5LwkO41opDt+30AINcXOpNs4BCRg5XMmLEKICgJUg+wUgla93RgEAYbOpVb2SG0fVL3HzlQGx6xFCLmWgeLm7US5RT/1kiN+85vfYNasWTjvvPNw4403YufOndkekiJ5lZwA6H7r1lI2/GGrZGZ9NY71DhXMN42r0Nz+qWlcRcLPo7NcbpcdnmIX2jq8WPz0O7jlN+9h3pNv4u7Nu+C32VAkSbh/zmSMryzCyjlT8Md/non//O6l2LjgItz5pXPxzJuHYlda1lVh1bWN+M2bh3DbpjbYbQLW/XEf/tdP38DNv34PBzr7Uz4vclYy/rycmkaM2wHAQHf86NuEbAK8YQkd/UF4w0NBiZKQTdAMLtXuF38Mb1hCtz+IjQsuwpJZdfj2ZRM0px+1jlsa937Rm362CTB0LvWyRzMmVCX8vNCpvRFYJjI4fkHAnZt34+pHtuGGn76Bqx/Zhju37IFfSD6zlWsZqGT/Logou6z1CZKiF198EWvXrsWqVaswbdo0PP3001i8eDH++Mc/oqoq8cJgBel+69arZQIkzKyv1s1OxItvQLqopRYPbN2r2Apj+ZbdkQxWdFuNcpcLd/5/+/HuIS8WtdRi/sXjI6sZSwsdWPfiXrz6wXEsmVWXEGikm01JptmsXnf8Y72DmDKmGBClpOq80p3qUluQcNeXz8Ujr+xP6bgOUcKa4ffLX/d36i4+KXEMZZP0zqXe+9jlSDzHbpcNLXVVw+1UYrXUVaHYaQdM7Ppvdk1YLmaguLsCUe7Ii8Dsqaeewle/+lXccMMNAIBVq1bhtddew7PPPotvf/vbWR6dMjO+det92K5rbUSPQv1YtDMrivCnO2biyPBGtNG91ABgxoSqpOuBooPG+Cm3FbMn45UPjgNQrjXSy+QYOS9Gu8hrdce/bVY9xpYVwiGKSV/Y0wm6tRYkHOvRbhuiG7RCwmPzmvBZzwD6B0O4YfpZWKmzSEHvXOq9HmWFjkhbFTk4d9ltWNBcCwmJO0EsaK5FfygMl4GsolFm14Tl6v6e3F2BKDfkfGAWCASwZ88efOc734n8zGazYcaMGWhrS9x2RksKsxoJ9zV6DCPfugUDtUhOSUKlQ0BlyfCHrSQBwlDPqmWbd+EHXzpXszC/0GGD2waI5YU44QtiyhllePzr0yONZu06F8jegdCpx47ihnLQeLQ3ELmNUnZML5NT7LRDSLKNhhZ5nD1BET0DIbhddriddhTZAIckAoKxC3ul49R5MhJ0q71PtB5Lj9ZxgaH3ZrnbhZB/EJWOoR0VlF4j5/DzNvSYBt7HR3sDMT3rnpg/Hd//z/cTesPJXwoem9eE0jHFcJrUdsJIoKz0HtbixtACj/4w0O0LpHTuKFGyn6OkjefTGpI9/zkfmHm9XoTD4YQpy6qqKhw4cCCpY1VVlaY9nmSO8dANU3HXszvx16iL2mX11Xjohqk4o0K7uF/NSV8A3b4gVmzZhW3tXbjwb8ew5Mo6AInZidtm1aOy2AWvL4gH4vtZ1VXjX784Cd2+QMJjRKtwu1BdXaL6+zPi/u0L90X+Xyk7prWv5k0zzsZ9W/di1dxGnJni+TEyzpO+ADr7AugZCKGsyIm+waDmfX2BMM453RP5t9MXwGX11TGvq+yy+mp8rqwQ5W6X4rEOd3hVH6ftcLdqEKR33Gjx79H41yhZeu/j6NccGHrd43vDxfOFgYlj0v97BICTYp/m7/XewzTyzPgsplMydT4dDjucOjWjo5XDMXRePJ7i5O9r9mByWVdXL1L9ki4IQ2/+ZI7hAvCQUsYiFEJnZ2/SY/BDwLItsftn/uwvBzD1rArMPu+MmOzEsd5BnF5WgH5/EPds2aW+arO5FjPrqrGtXTkj4rYjYaxBIXH1m5z9cNuFSHARnR2LbgMRCIu484vnwn2NHQc6++Gwxe6rORDaiYdbG0zLqCidw+is1TP/dLHmfdwue8I5eHBuA5YpTHU92NqIoG9QdTeDYpf6h9zG7Qfxwu0titOPescFUnuPGqH3Po5+zQHtrKi88KSiyJnS34CS+MePpvYeNiJT53M04zk1l975rK5OL2ALhcIIBrXLZUarUGjovHi9/QiHh2Z5jJ7vnA/MPB4P7HY7urpiP+S7urpQXa28alGNJCHtD4Nkj+GQEus+5Lsns7w/urP7vIvHR37uC4Rx6zPv4duXTcB5Y8sjdUofd/vxlfXb8fNvXajZy+t/t0zA6tYGzVqk6BHpFck7pFP1OXJ2rMBhw9cvHp/QBkJeiHBbXK+1TPWKij6H0V4/0KVarC5P10lxr0uhyjRh/PmKpzU1eMF4D4oEpHTcaGa8z+NpvY+jX/Nt+zsjr7sAxJzT6IUn1049w7Qxxj++TO09nKxMnM/RjufUXDyf2ZXsuc/5wMzlcqGhoQFvvPEGrrrqKgCAKIp444038I1vfCPLo0tdst3eo2uT4qcIfYEwQqKEdf/3g4QsRbdfe5ouLEmawUA0o0Xy0YsW+gdDuO+aBizfnJi1i95CKn7aqycDvaLU6rsigYQgJFXsnUqxtdaChFuvrENQAgoVgqBUjdQG4wkLVYocWDKrHotaJmAgGI6pMbtgvMf0lY1clUhEuSLnAzMAWLhwIZYuXYrGxkZMnToVTz/9NPx+P66//vpsDy0lqSzvjy5wVpoqUuu2rrcKcqynCPbhx9ILBpJZ/RYJWtxOeINh3Q788QKhodWSqQQRasGIWpG4vJG5vI9npi/sLgH4SuPpWDDj7JjC+EW/eBsXjPeYtuWPGVs9JRPYxQeqhWUFI7qykasSiSgX5EVg9pWvfAUnTpzA+vXrcfz4cUyePBk///nPk57KtIpUlvdHrwRUKqBX6w+mVuc1GBLhcTtRkkRPqVTbRBjpwB+tua4Krx/oQvXUM5KeztQKRrRWU/oC4cg+npm+sPcERdy9ebfi78yaxjWjt5fquWxtxGAojB6/drDGLBYRUaK8CMwA4Bvf+EZOT11G0wtUuv1BoMgZc8GLrk2SMzxyOwIAqqsY5SCuyGnH1z5fk9J2P7JUe7MZ6cAvi65DuvKc0xICPa0MTnQwEh+EfnxyAOMqinDV5DF4Zd+xhDHoNQ5VelwBQ0FWstOEI7HlT19IxLQaDxYMLwgpdNrxXocXG7cfNBT8aQV2yzbvwvk1nsj7SOs9xCwWUe4a6ylGIJw/f7OSiYV4YyvdKd83bwKzfKIXqPQOhPDVn/1PbFF9XG2S3I4gMjUkSIpF5b5AGL99qwP3zZmCuxXqvJLJoOj1tFLr6K53vzGlhXhi/vSYOiRfIBw5T3JQ1DMQQjAsYsffu7Bx+0H4AuGYcyRnIrX2nHxgbiMAxARnetNrapmjW6+YiEVPvxNZuGA0yB2JLX9sgg1tHd6ExRbyxvZ6wZ9WVnd7e1dk71Qg9Q77RGRtN8+qy/YQLC0sihBT+MxjYGZBelsFyftYahXVJ0wNSUgoKne77LhnzhRMr6nAycFQ2t3RBQC3XjERoiQp9iC7d+terJw9OSEw0brfLVfU4dW/fYZ/fzl2K6KZ9dUoc9rgl6C4fZEcYESfo97+oYUOqhu77+/Eiud2Y11rI+784iRD02tamSNRit0k3miAkuktf4KCgPv+e7fmYgsjXw60xE8/Z2olLRFlz+/ePoSjw7vG5LoxZYWYf8nZ6OnxR9pbpEsUJQZmuSx6KqysyIEHWxuHNsKOW5kXvY8loFFUrzA1FL8asqLYhZVbduPuP+zCE/Ona47PyPRZT1DEoqffwWPzmnDLFXU46Q8mZLkGQ2JCYCLfT556DYRFnFZSAJfDhk9ODuCqcz+HYFiKyYKtmdsICZLiZuHxqzm37e9Eb0hEZbELG266EMUuB6bXeNBU44kcM/p89gfDhqfXtDJHSgsXjAQomd7yR2/Mt15Rpxv8JTP9HHncDKykJaLs2dnRjQ8+NaffYLbVVhdj/iVnIxwWEUpyj2mzMTCzAKWpsKsmj8Ga1kb4g2F0+4PoHQgl7GMpS+aCJwdupSUu3Bn1mGbsUdk7EIqMbf7P31S8jVJgIt/v8VfbI9OM//7Kh7E7EdRX4/klLRAlcXiDbRHekGQoKHK77IAk4J7ndif0zZIza9HnVOl8JruSU6a06MLI65XJwngjG4+nM20dndWNuY8JU7BERPmOn5RZpjYV9sq+Y5HsEuDEV3/2P6rHSOWCNyACC5prMe/i8Sh02iFJkuYelUamz+RxqK0ABYaCJAmANyxFAo7KYhfcLjt8gbDmNON9z8dOA+oFGCFRwpJZdbjinNNw2OvDopYJOD8qS6bWJy3+fKa6khNQDniNvl6ZKow3svG4HrWsXsvwRuTRWV3AnClYIqLRgIFZlhlpjWF2zZFfELAybgpw1rmnYeWcBqzeuichU2V0+kwep1r2Tc6GPbB1b0KQs3HBRVj0i7fRNK4CG7cfxJJZdZEVk9ErBqOzbVoBhttlR21VMX75xkeqBe5ycBY93Rh/PvXaSqxrbUwqc9RSV4WiJFqQZIJZ7yelrF6R045VW/fGZCAz2ZuMiCjfMDDLMkOtEexO02qO1AKNVz84DgBY1DxU51VW5ER5ktNnchZlx4ETitk3rWwYANwzZwpCoqS4YlIOqPoHQ/C4hzJIWgHGitmTE4JMQHk3ATnDF38+QzYBJwPagbMvFFZ9bW65og6Ln3475jksaK7Fqq17cf+cyVlboeg0sEWRUYlZPRH3z5lsePEEERHFYmCWQUa6ohttjWBWzZFWhu7VD45j/sXj8YvXPzo1ZZhk8FAkSbhyYiUumVCZsL/mjAlVirsPAMMrImdPhstuw4rn1FcMDrWzGBqTVpH89BoPlqk0aY3Pko2vcuOlO2bGnE+/zYblm3fF7DuqpMcfQk2xM+G1cTlseO79o3hsXlNM9345U3fnFydldYViJmvY2JuMiCh1DMwyxOh2N8lMKyV7wVMKDOWWEVruuya9flN2UUIJEvfX1MsO9g2EUFLoUKxzA4YCqkBYBKICGrUA42hvQPOxorNklQX2mCB0wGaL9HRboLAdVDQ5cI5/bTr6AgktPqJxhWJyRmpPTyKibGNglgHJbHeTqdYIais9v//FSZr3Ky9yQpREQEg/m5MQSBrIDhoJ3irjAhqlgNVIUb7SOQ7ZBBz2+iPBodK+ozKteqyRaBKbDjP2yRwpuTRWIqJ0MTDLgGT3ujR7WkktMDz3jDK8d8iLmXVVeLejO2ZLokKnHZ+e9ONgZz9aaj0ZmX4ylB3UeUsaDWj0HmtCdfFwgBx7jnuD4tCWV8OU9h2Vj6EVOGe6SWw6ggqBDmDNDv1m7OlJRJRLGJhlQCp7HZpZl6MWGDaNq8Btm9rwk/nTcavDjsf+vD92S6K6ajzQmrnVc0ayg2YFNHqPVSiJgMLT7B0Ixawqjd93dDAkYkJ1Mcpd2oGz0UxoNqbokv3ikE25NFYiIjMwMMuAbE9jqQWGIXFoi6Cq4gI89Md9iasj24e2JMpkFkIvO2jm1G4qmcjSQgf+/OHxmOlLufmtPA6j50fv8bM1RTcSm6SbJZfGSkRkBgZmGZDtaazowM/tsmNRSy2m13hQWuDAjIlVGAiFs5qF0MsORgc0vkAYbpc95andZDORpU4bPvikJ7IJd3Tw2lJXhQeTzCiqPX42p+iy/cUhGbk0ViIiM/BTLQMyvdehnmKnHc/808XoHQyhtroYq5/fEzNlueGmCzXvb4UshEOUUOkQcM7pHnR29kIaoToihyhh5ezJWP3CPjTVeCLTlxVFTozzFKHQpNcum1N02f7ikIxcGisRkRkYmGVIJvtEaRmaHtuFbe1dWDKrDr984yPV9hNqjGYhcrWFgd64iyQJ98+ZnNHXLptTdGY2mM20bH/JIWvI1c8aolQwMMugkW60GT891jSuQrGha6otIKKp1UetntuA7v4AiguS+/BU+uB1ZqDOSm3ca+Y2wCEgYQwee2Zeu2xP0WXri0MqcmmsZD62S6HRhoFZjosOaIoLHDEfXmqbicstIGxA4oddayP6QmH0+NW/mWrVR63YshtNNR48/mq74Q/PAZsNh71+dPuDKHTa8ecPj+ODT3pw7+zJSZ4NbWrjfveQFx/3DOLHr+4fsQ9/K0zR5VKH/lwaK5mH7VJoNGJglqNCNgE9QRFHOn0QBAHvdXhx3lnlMbdR20xcbgHx229fggW9gwCAsZ4iuJ12rHp+D14Z3jcTUA5OtOqj2jq6sfRL50b6o318cgA1FUVwqWQ3/FFd9mXNdVVY2FyLVS/sw49unGbshBigNu5FLbV47NX9int4ZurDn1N06jhtRTK2S6HRiIHZCDLrgqOY2q+rwvVNZ+Fn37wATrsN73V4sevjk6pTlk01FXhp72d4/3D3UCAgSLhzuDYtmlJwolYf5XbZsX5eE/7tjx8YmuIc+ja8S3VfzKYaDzr7AihXji+TpjZutSlfIL0PfyO1bJyii8VpK4rGdik0GjEwGyFmXXBUU/vtXbjnuVPTiM11VfinlgmYOnYoixbftX713AYEQiKuPOc0+ENhSIDhb6Zq9U+LWmrx1I6DipknpSnOAY1vw/JG470DQZS7zVmMoDZutSlfWSof/kZfb07RncJpK4qX7VpMomzgu3oEmHnB0Urty8GM/P8A8PnaSsyZeiZWzpmCvuGApUhhylKvhUb/YAilJS70hURIAF64rQVd/QGERQnvdnixcftBzcxT9Njk533HF+o1H3MwJKK00AlA/9wYCYTKnDasvf48jCktiGxD9V6HF26nXfPYyX74M8BIDaetKJ4VajGJRhoDsxFg5gVHL7Ufnf3Z0d6Fe2ZPGd4+SEJlsRMhm6A4ZanF7bKjotiFe57fi69dPD4hK9ZcV4X185pg19n4PHps2/Z3YvlXtIv7K4qcqC5xIegb1Lyd0UAoIAEv7jwac7vmuip8pfF0XHXuGLzywbGEY6fy4Z/pACNfa7A4bUXxWItpbWM9xQiEc/+zBwDGetwAALvdBlGUIGbxM5WB2QjQuuC4XXZIALxhydCFVi97E1/w3z8YQpXj1MWsLyRiWo0HC4Ybp8pZo91H1evR7pkzBSu37Ma0Go/iVOWO9i7YBAEr50xJamyCANVvwy11VRjnKUK524VOncDMSCBU6rQpBm872ruw9sV9uPNL58IfCqfd6R/IbICRLzVYSsElp61ICWsxrevmWXXZHoKpRFFCWVkRwqKIbq8va8EZP+lGgNoFRS6Wf2DrXmxr74psnzRjQhVcDhvKCh0odtrhi2pfUey0qwYzzXVVaDvcrfnYNsGGtg5vzJRjc10VFrfUYupZFbAJQsI30+k1Fbj7D7uwoLlWs0helKSkxmYToP5tuLURDkj4+7E+dPuCmgGrkUAIcKgHb+1duGUwZFqn/0wFGFrtPnYcOIHpNRWR6WorZ9FUe8m1NkbeP/Lfgry61+N2othpB3gxHpVYi2lNv3v7EI56/dkehmn6B0MoKXTijn+YBJtNYGCWz9TqJKKL5eUg7akdB2OCn5a6KixorsXtm9rgC4Rx1eQxeGBuI1Y8tzs2mKmrwsKWWix5pu3Uz+Km4UI2Afdt3q26CvKisyux+toGBMOx30yP9gYA6BfJ9w2EIoHWu4e8kQsrAHyurBCv7PsMbpcdvkAYM+urUeIYCh7ivw2XOW0ISBLu3BJ78b5q8hjcO2cK/MFwzPjKivQDIb3gzWW34dqpZ5jyjTxTdTFKmcHo983df9gV8zhWzKJpTTuv2roXD7Y2YvXWvfja52sS/has+pyIRqudHd344NPebA/DVLXVxdkeAgOzkeAQJaxpbYxpovpehxctE6siFx61FY3b27sgDf/+8Vfb8frfu/BZ7wC+0ng6Fsw4G4MhEQUOG471DEDAqbolpRoMvYUDt15Rh0IbUILYb6ZyhketL5qstNCBIknCv7U2wC8BK7fsTsjMrZ/XhN++1YF7Z0+JjC3+23AIwPK4oMztsuNrn6/BXXHtNeQVpldNHoNX9mnUiOm81UsKHaZ9I89UXYxScKm1EtaKCw203oOv7DuGpV+ahFVzpiS8zoB1nxMRkZkYmI2A6P0rZTPrq3Hd+WdFMkhGVzQuaqnFo/9fYjNU+Zibb5kBAVDM+OhmjRzK019yBsjoVk4ShoIypXoumyBgbWsjfMEwjqlMuyldvPVacSz90rkYCIaxPWGrpaFASCuL1VxXhfc6utE8odK0bEwm6mKKCxL/XDPVgy1T9N6DPf4QpELjrVuIiPINA7MM05q6ue/5PZFMmN40ofx7vQuxAAxdtKICnZBNQF9IVLywRytTqX2SM0CrX9iHhXHtOIDETJBeMX6H14+v//zNmPtHT1EpXbz1AtfOvgDOr/HglivqUOCwJQRCAoDVcxuwMi6LJe8ycPumNlww3mNqNsbsuhhBQEJgnIkebJlkpP6OqzOJaDRjYJZhekHKzZdPxOOvtutOE8q/T/ZCLBdaT6vx4MzyQs2Ml9NuQ0d/QLVL/f1zJqMvJGLlnCmQpOHeZgqZIL0La7c/GPPv+CkqpYu33vMeCIbx+KvtePzVdrx0x8yY4FQ+B+92dA9tQxU1Bdx2uDtSv2f1bIxNQEJgbGR62UoM1d/pfCxZ7TkREZmJn3AZZmT6UG+aMHpFYzIX4uhs3YLmWty2qQ3r5zUBiMt41VXj1ivqMPux7fAFwkM/U+lSX2E7FbRE2nDEZYKSbekBxE5RKV28jQauQGxwGp+xPOL145bfvJdwf3kVYFCU0GHRlY0lDht++1ZHzOrR00oLMLOuSjH4t2IDTiP1d2wqSkSjGQOzDNMLUsoKHXi4tQF9IRHXnX8W7ns+9oIVvSoTAI71Dhq+aEVn6wZDYmTz8kUttZEL+5jSAnz4WS8WPf02AGDJrDrVDciNNjbVq+eKb5shkwMqpYt32+FutNRVxdSQqR0z+pzHZyyVAjy1FbFqqwCz1eDVIUpYOXsylj+3JzJOt8uOjQsuAhTanFi1Aade/R2bihLRaMbALMOMfPs/lYlKvGDJfcx+tejzkVYSzRMqDV20orN1ckDiC4Rjgo8NN12IZZt36wYnAoBlBhubal1Yb5pxdiTITDhXUQGVfPH2hYFuXwBlRQ589YKxQ6s1VWrEos9pJDiNy1gqZSaTWdmY7QavSkFNmdOW9kKDkQ429erv2FSUiEYrBmYZluy3/8QLlgiXTUBF1AVMEITEdhm9g5D3lJQvsoWuU3tAqk2VyrVbesHJrVdOxLsd3Yq/UyqYV7qwFjvtuHfr3sh0aTQ5oAoBMff5XFkhym0SJAkYkCR8pfF0LGyuhdtlR1iU8MaBrkiNmNI5jc9Ybtx+MGE61+jKRqvsgakW1KS60CDbwaaaXGwqmq/bZRHRyGFgNgLM/PYfsgkJmSuZ3D192XBrjiWz6iLB2G/f6sBv/ukS3L91T8x0YHnR0EWvaVwFNm4/GDOVKfdb27j9IMIisH5eUyQIkmkVzCsFmStnT8ZgSFQMUkOShGVxbTYuGw4QnLbYjF10Z/jH5jVhrKcIZQrnND5jGT2de+vwCk6966Y8xZqPm2xbJdjMB1YNcIkotzAwGyFmffvvDYp4t6NbNYA67PVHtndy2ATc9eVzcaxnEBVuF94/7MVFtZVYOFxfVuCwYSAYRktdFUKipDiVKTeF7RsM4ZdvfBRp7xEzpiTaF6gFqQIk/GB45WT8c9t+4AQura2MueDFT8m+dMdMxQBCKWPpC4Tx/uFu/OP0sSiURHh1NuGVs2752MYhH4PNbGCAS0RmYWCWY/oHQ5oBVO9gKKZe7JFX9sfcZuHw6kw56yXf9szyQjz44j7V7ZqWfuncmEa30ZJtX6AUpHrDEt7t6FZ9bhfXVkaa8SrRCor0MpZGVwHm4ybb+RhsZgMDXCIyS+5dSUa5CrcLP3z5Q9UA6q4vTVatF2vr6Mbs8wbwy0Wfx7HewUim7a5nd+LX/3SxYqsO+diB4Vq0+H5iZrUv6B0IaY77zYMnEsa9cfvBSKCmFhRFan76hzZCP7PUNZS5iBqv0TrAfGvjELIJKC5w4In50xXPKZCbwWY2MMAlIrPwUzfHBMKiZgBltwm4cLwnYboxOou2bPPuyM+b66qw7oap6B/UvrD4g2FsuOlCFLsc2LjgIrzX4cXB432460vnojduU/FUpmxKCx2KRfjR445+3nKGUO7YrxQUJVPzY6QOMJ/aOCidm+hzKi+myLVgM1synU3logKi0YOBWY7p0/lm/mmPH25n4suqlo3a0d4FAcD9cxs1j2sTBCx++p3Iv6+aPAb3zJkSWWggS7XYeajjeyKtcQPAPXOmoGVCVUJQlErNj5E6wHxo4xBUCMqAU+f0O5dPwJjSQkyvqcDRXuWdIChWJrOpXFRANLpot1Mny9H75i1JQLk7ccqkaVyFaqZte3sXAmERM+urFX/fUleFNw7E3vfcM8oSgjLgVOATsiVXT+MQJYz1FCU17h3tXZheU4FCKTEoMlLzkyo5gKspdsJjF3IuYNE6N20d3bh26pl4cedRfPGRbbjhp2/g6ke24c4te+AXWCOlRs6mxv8NncqmpvYeCdmEod59Jv2dEZH1MTDLMfI3cyVyB3xh+P+j6e012TcQUr2wLGiuxcbtB2N+rhUwpRr4lCk8NyPjVmKk5me00nrui1pqsfI5BgKpkLOpL90xE89+91K8dMdMPNzaoPjFwahMfsEgImviVGaOcYgSVs9twIotuxNqruQO+NdMPSOlza6VpukkANc98XrCashkN1NXEl03U1bkQLHNhhWzJ+OI1w9BEPBehxeFTrvmMdQyiMnU/Iy2+h2tc2O02S4pM7spLhcVEI0+DMxyjF8Q8M7BE5h93hmR/S4LHDa0He6OFMKXOO347VsduOjsSnzvqnMQEiVUlbh0a2Diu+6XOm3oG95jM14ym6mrPQ+5bkatwH9mfTX+1/SxKdXuGK35ybX6HTOCSK1zo4eBwMjKxxYtRKSNf9U5RC5ol/t9bYwPZOqq8EBrI1yiiHtnT8bHPYP491eGWmvIwY8kSTGd/2fWV+P+uQ0IQVAu5G9txFWTx+CVfcdixqK1qbhesXN8Yb7WdlCrt+7Bv149SXHcWishjaygzLWmoGYFkU5J/dwo1flFYyAwsvKtRQsR6eOnbA7pC4mYVuPBguZaBMIi/uUfJmHplwR8cnIADpuA00oLcP/Wvbh/zmQ4APz41f2RYCd6K6JbrqgDMNQCo+1wN557/yjeOnhCeZ/MLbuxprUxYRulDz7pwYOt52HFc7uTbh0RXzejNX326gfH8a1Lzsb5NR7cMryFktGVkHorKHOpKajZQaTauQHAQMBC8qlFC+WfsZ5iBHR2Tsk1Yz1uAICQxcVODMxyiE2woa3Dm9AVX+7m/8Mbp+GVfcdw5xcnAUDCRVzexujxV9ux4aYLI+0vNtx0If795f1Qsm1/J/zBsGqAk0rriPi6Gb16NV/w1Lj/dMfMoWBJIxsXMx6boFrzk0v1O5kIItXqoRgIWEs+tGih/HTzrLpsDyEjRFFCaVkhur0+iFn4IsrALEeEbALu27xbtZ/XY/OaMKasAE/Mn46QKMGvsnWRLDoYMlTIb3cqXsTjL+4hAN6wpFkDFT8dplevFv37noEQKlWCpWSn+nKpfmckg0gGAtZj9qICIjP87u1DOOr1Z3sYpisrcmLxzImw2QQGZvnKjIJtrYzJjvYu3HJFHa55bEfkZ8/808Wax4sOdtIt5JcZDYzi62baDnejua5Ksf2G3AJE5nYpr9JMZaovl+p3RjqITDcQGG0rXYlGo50d3fjg095sD8N0tdXFWX18BmYZZlbBtl7G5KQ/GPPv1w90qRbny8GO22XHopZalBc5seGmCyMtKqL3SzQaoCQTGAkAVs9twMrh6bKN2w9i/bwmCEDMeKNbgMj/djvtABLHkspUXy7V7+RSEJlrK12JiKyEgVkGmVmwrZcRic96RYIdQUgIOm69sg5Lnnkv0qIivmYteg9KrQAlOitSXODAtBoP3u3oTmivER0YyRftdzu6sailFgtmnA0AGFdZhIeuOw99wTC6fUGERAlvHOiK7NvYXFeF22bVo8gGQGE4qU71GZm2s0L2x4wgMigI+PuxPnT7ghl7Hrm20pWIyGoYmGWQmQXbWhmT+Ok+4NQqzM23zIAAxAQVIQn416sn4akdB9HW0Y0ls+rQNK4CgyERhU47PusZwIu3taDABtULvpFNsGPOxUAIpaWumPtEB4Qz66vxcGsDKu0C3GUF2H7gBJrGVeCHN05DgcOGY72DGFtWCLvKeNKZ6tOatrNS9ied2q+Reh65tNI1WUoBOhGR2RiYZZCZBdtaGZObZpwdme6L5guEIQAJQYcDwPSaCty/da9q1uyS2kp82hdAcUFiZkUtKyLXiC1qqU1of1Fa6Ii5aMvTqNEB4YAIlAAolCRcMbESvcGh5rZulx1TxhRrBiCpTvVpZcOsmP1JpfbL6PMwpRYyh1a6JkMtsH3ohqlwZXFcRJR/GJhlkNkF20oZk2KnHfdu3avYnV8rIOkbCKk2dt3R3oWVz+3GtBoPHn+1PSGzorcQYdHwdlDx4zjaGwCAmE7/8Vkz+XEcooRKh4BzTvegs7MXkk6AkMpUn14WKV+yP3rPoy8kosBuMyWjZvWVrqkEn1qB7V3P7sRDrQ1wsHaOiEzCwCyDMlGwnZgxEbFy9uSEBrB6tUelhQ7tfRHbu7BgOMCKz6zoZUWi22/I4xAgobjAgSfmT8c4jxsP/XGfckPbNDJRyUz1Gcki9fYHE+4XLVeyP3qvlygBy7eYVAtp4UUKqU7nagW2f82hAJ2IcgMDswySszirX9iHc88oi0zbedxOjK0oMq3APJXaIyP1MdEBVnSGqLhA+21TW12MZ797aVRNm4QfRF0QN9x0oeJq0fjHSUV04Kp1To1kw6ye/TFKb5ySlNiMWJbs62HVla7pTEvn6/QsEVlTblxZNPzkJz/BX/7yF+zbtw9OpxPvvPNOtocUo0iSsHLOFCzfvEt12s6Mwuxka48coqS7L2L8Sk/5AiQI0Ow7ZhOAmqiGs6u27o1sJTUYEjGmtABLZtXFtOVQepx06E5TGrjYnlmqv/G70exPNld26mWx+gfNDTys2KA2nWnpfAnQiSg35PyyomAwiC996UuYN29etoeiaOib+i7Vb+oBm01zGilky9wUSdnwBVuJ0kpP+QJkE4CFzbVorqtKuM/C5lpED7kvJOJrF49HW4cXt21qw95PenCsdxBN4yrw++9cijuuqk9oGpvuhS5kExLOqdtlx7RxFTjSPYCO/iCKCxxYMqtOtWFtaaEjkv2JP0ensj/GAiu/IODOzbtx9SPbcMNP38DVj2zDnVv2wD9Ce7HpPY9MBB7yF4Wa4qEdI7LdIsNIIK6mVOPv5DI5QCciMknOf9W7/fbbAQB/+MMfsjwSZbrf1APhtKeRUs3GqE07NddVYXFLLXZ9fBIbbrowMv1a7LQDoogShw2/fasDTTUeLBrOghU4bGg73I3fvtWB++dMjmSSRAmRthyKBf91VXj8603Y9fFJNJ5ZHvOcnCkWVMefc7XFBi0q7T2is2HpZn+ssrJTfh6+MNDtC8Q8D4eF68LMkm47FbXp2YdumApnKKTQ8piIKDU5H5iZKZ0Ehnzf+GPofVPvGdAvMK8sUZ9G8kPAMoUpuzVzG1AUd7kICokBnDsu8CgpdGDnkZMQIOCtgydiNjePHFeScO/syVj23J6E6dk1rY1wSuJQe38M1S/taO/Ckll1iitAh8Yt4MvnnR7ZVP3UsRoAqL8uSs/HqTBNqbb6VK5zi27vofQcnNLQCtHI6yBJkd/pMTKFVukYmcyZCxLOGFOKrq5eSBIiz8MpSVgztwHLlOrC4s5FrjKyKEHQ+CLgRmKAXua04fSKInR15d+WNNmi9jlKqeH5TF82zh0DsyhVVaWmH+Ok2Kd5+7JC7dqdCrcL1dUlir876Qvge5vaVLMxj81rQrl7qMvS0W4/lj67M+bCdFl9NdbdMBVnVhThjLjH/P7v/5/qqsnH5jWh2u3CD2+cBm9/AD0DIZQVOeBxu/C5ssKY+xw6dAIAdFaAdmJB89mJj7Vl6LGUXhet5+Mpjv1L0nrs7e1dWDF7Cq46dwxKC52oLnFFzpkZDnd4NX/vC4Rxzuke0x5PdtIXQGdfAD0DQZQVOVFdfOp5qb3PH5/XhM6+AHoHghk5F9n20A1TcdezO/HXuPfMQzdMxRkV2vWWsjMUfmbG5wbF4jk1V6bOp8Nhh9OpXA6SyxyOoefk8WRnz0xLBmY//OEP8eSTT2re5sUXX8TEiRNNfdxIJiEFgjD05o8+RlAQYBOg/U3dZdf8vdsOdHb2KmaHeoOi4v2AoWX8n/UMIOgbRFAQsFRhOu2v+zux9Nmd+LfWBkiAoe2V5OP2+AJYtkU7U+eHgMDwys7oFZ5KlH7/1/2d6OwLIOQfjHld9J7PutbGmHOq99j9gyGML3ECkBD0DaLTN6h5ez3Rr5XeCla3y47OTnMzLn4Iyq9NawPGVZVovs/LbUC52wGzzoWVuAA8pDAt7QyFUnoNlP7mKT08p+bSO5/V1ekFbKFQGMFg4gKuXBcKDT0nr7cf4bB5i5aMnm9LBmaLFi3Cddddp3mbcePGmf64koS0PwzkY0TvCbl+XhNESYrJQMmF1y5R1G0v4FNZYfjPX6jXHIu8mq43pD6d9u4hL/wSsDLuQq63vdL9r3yomKlbNlw3BQDLNg81qW2uq0pY4RlP7fe9A0GUux0xr4va85EL/HsDYfzzF+pxyxUTsePvXcMbn6srLXSYdhGIXw26ZFad6mby8hSaXvPcZIRsiVPbwPBrs2UPHp/XZMr7PFc5pMTVy+meitF8PjOF59RcPJ+py8Z5s2RgVllZicrKymwPI2XxBd+3b2rDopbaSEf8sZ4ilEUVkGsVmGsVj998uXbGUC5o1qpzW9RSmxCUAdrbKxUXODQDo+7A0PNY2DIBuz7uxuKWWnx6ckCzxUb8CtBTz2EokxVN6flo7SZww/SzcNXkMXhl37GE+yVT3K63yELptZI3kwcQE5xlqq+XXk1bZ18A5VxESERkWZYMzJJx9OhRnDx5EkePHkU4HMa+ffsAADU1NSguzs78cPzF0RcIxwQLL90xM2ElnlofMq0L7esHugytptNacaZVf6W2vZJcDBm932VIlFBbXYzVz+9J2Hdz6lkV8PoCuHdOA+7fuich83frlXVY9Iu3FZ9DdYkLwbjptBKF56NW4L9tfydWPrcHa1obk94dIZqRXnNKr5W8mfyillqsmD0F/YOZ7eul3xYiODxVSUREVpTzn9Dr16/H5s2bI/9ubW0FAPzyl7/ExRdfnJUxmdkpXOtYG7cfxPNLWnDf89pd1rVWpOlR2l5pIBxOyFAtmVWHX77xkeK+mwDQVONB6xM7sKilFguaa1FW5ER5ZGcA4ILxHsUVgeVuV0Kdk8tuS8i+aS4u2N8JfzCcctsLoy0v1F4rOTC/8pzTIo13M9V+Qr8tRGIGcqRls9kuEZHV5Xxgtm7dOqxbty7bw4hhZsNOrdv6AmGIkqgbcGj1YdLr/j8hbnslhyjC4bDhnjlTYjJURjJvcoAys776VP8uUYIDUHwOTkk5aOr2BbBwOJMnP75egX/vQAgeuzOp3REi9zXYNd4KHeL12kIoZSBHkhm7XBAR5bOcD8ysKJ2NnOOzCcVOu2Z9VInDZmg7JrU6Nvk4WqtGq+Q+W8PHdYgSptdU4O4/7Irc1uiqS7XpQ8XnoNI/prjAgfkb3orU7Q2GRIyr1A4w0wmKjGZArbCBt+ZelSoZyJFilWa7RERWxsAsA1LdyFktm/DA3EYAiAnOUikeVwvg1Lr/3zTjbNy7dS9Wzp6ckM3oiwtW9FZdjq9y46U7ZppSW1XqtOGC8Z6YDN2SWXWqiwvSDYqMZsKssoG3WhCuloEcKensV0lE1jPWU4xAeGS+TEkjmFEfW+kescdSwsAsQ5Ldykcrm7Diud1Y19qIO784SfNYYZsAvwj4gmH4BsMoLzJWv1MkSVjX2ohDXj+6/cHI9kpyq4zBkJiQzYgPVtoOd6sGRi11VagocMAlioAopV1jpBQAbdx+EBsXXASbIJgeFCWTCbPKBt7JZCBHipm1l0SUfTfPqsv2EDImLIoQs5TBZ2CWIckGH3rZhP5gWHO6ckAQ8HH3AB77c3tCv7QHWxtRpBMY9AfD+PrP31R9/PhsRnywEt0WIvrxW+qq8OB15w0FZTCvxkgpACpz2jISFCWbCTMytTwaWaEGj4jM87u3D+Go15/xxxlTVoj5l5yNnh6/qQ1ftYiixMAsn6QSfKSTTQjZBGxv78LWXZ8ob6O0eRfWXHceCjUClGQf3yFKWNPaiMPDWbZCpx27Pu5G6/ln4Z45U9DjD6Ks0IlSlx2u4X5sPUERR7w+LGyZgGk1HmzcfhC+QDjlGqPoAEg+vhyQnVnqiiwuMIOZmbDRuirRCjV4RGSenR3d+ODTzO8VW1tdjPmXnI1wWERIp545HzAwM1lQISgD9Auc08km9AZFjCkrVJxGBIY2Cj/s9aPWU6gaACT7+EPB567E4LP1LBSJIqpKhvdYFEXFQDV+Z4Ft+zvRExRRmUKNkZkr/bSCJjMyYaN5VaJVavCIiKyMgZnJUi1wTieb0DsQ0l0V2e0PorfEFdljMz7wSObxNVfXbdkdE3yq3VZpZ4EjXj/KxhQnlT0yc6VfpoMmrkq0Tg0eEZFVMTAzmZEpQRQ6EgKjdLIJpYUOdPuDmo9b4LChZyCE+7d+qBx4JPH4yQSf8m2jdwkYDIkodNrxXocXF9Z4Ys9PkivzzFrpZ0bQpDdFmc5YU53+jL+f0xfQvU+msQaPiEgdAzOT6U0JDoZE3PDItsi/ozMyqWYTip12HOtR34ty5vBelDMmVGkGHkWi/uOHbAKCQRFPzJ8eCa7kWjFZdD1a70BIdR/L5roqXDP1DLhddjTVVKDtcDcqipxJrcwza6VfugGeoS2bUhxrqpk8pftdNny/wix3/yciImXczthk8pSgkpa6Krx+QDkwCtmGLvpyNqGmeKhLvZGsiC8UxunlRbjtyqFeXtFm1lVjYUstPvikJ+Gxo8fQGxR1H98vCLhz827MXr8dt/zmPSz6xdto6/Bi/bwmuF32U+cgKjgtLXSo7mO5o70LD2zdhxWzJ2Nhcy02bj+Y9Mo8s1b6Gcp0qgjZBCxX2Ag+/rVNZaxGj230fn/d34llGvcjIqLsYmBmMqc0NCUYH5zNrK/GguHgI55c+J6qHn8Itz7zHt7t8GLVtQ14/rZm/Pbbl+C/vnspLjjbg2fe7MDdX56s+NgyvcBE7UK/o70LT+04iEUtQ1skRerRhpU6bZgxQTmTBwDb2jtxzudKcfumNlww3hNzXyO0AuH4sWgeJ83FF3rZtlTHavTYZt2PiIiyi1OZGaA0JSlKwPU/eT1myi9az0AIlSk21ywtdMAXCOPf/vQhfvznv8fUcp13VjnmTjsTIVFUfWz5GFq0LvTyXphK9WgOUYJLZ1eAY72DuGC8J6WVeWat9Et38YUWeYoylbEmO/0p15Tp1RyymSsRkTUxMMuQ+ALnY0HtwCh6KjBZ0UGFvFG4TN4wHDbtwEMC4A1LqkXlegFCWZFzuEA+Mbgo0wn6JlQXq97XCDNW+qW7+EJL9O+THWsyx46uKdtw04WG70dERNbBqcwR4nbaE+q/ZM11VXA7Uw/M5KBCafp0KKiQVG/TMrwn5nVPvI6rH9mGO7fsgV9QaOehcyEvL3So90jTmcIrd6XfYDWV2rx4ctD00h0z8ex3L8VLd8zEw60NKNTZYzLZKcpkxmr02PFTzfIWWUbHRERE1sCvzSOkyAbcNqseQOyWRc11VbhtVj2KbADSKPsxkomJv81gSMTrB7oiTV4B9fYQ6Uz15VJj0VRaOWTy+Rk9dvxUs9oWWZcNb9FlpXNORESnMDAbIXZRwlllBZgz9Uwsaq7FYEhEgcOGY72DGFtWCLsJF0ojQYV8GxQ6Ytp2RFNqD5Fu8JHvjUUz+fyMHDt+qtkXCOP2TW1Y1FKLRc21KC10oKLIic+VFSLoG2SzDCIii2JgNoIKJQlXTKyMucCeO6YEvlAYn/lHdt/EVHpqpRt85Htj0Uw+P71jK001R9cbvnTHTFQ6BJS7Xej0DZo2LiIiMhcDsxEWfYH1CwLuUtpvMo0tgIx2iE+1PUS+B1e5ytBUc57vxUlElA9YAZxhIZsAb1hCR38Q3rAUaeyZauNQLXID2Ksf2YYbfvqGdjG/Sf2/yBqMLAAhIiLrY8Ysg7S20hkMmbPHoyzZvR5zqSCfjMn3Oj4iotGAgVmG6AVKK2ZP1rx/sg1AU9nrkRfy/MOpZiKi3MbALEP0AiW9cp9kG4CmukF2rl7IjdbSERER5RIGZhmiFyj1D4YM9QXLdDF/LtKaIja6aIKBHRERWVH+XK0txkigpFfjlUwAkk4D2FySbC2dEjMCOyIiokxgYJYhRgIlh6he42VmMf/auY0AJHjDUs5niFKppYtmRmBHRETAWE8xAmFzPi8ljS/FYyvdpjxGrmBgliFGVz2q1XgpBSBulx2LWmrRNK4CR3oCKC+KDbCUivnLnDYEJAl350mGKNVausjv0wzsiIhoyM2z6kbsscKiCHGUfGlmYJZB6ax6jA9A3C471s9rwlM7Dka6uQOJAVZ8oBcCNPul5VqGKN1aunQDO0od6/qI8svv3j6Eo15/2scZU1aI+ZecjZ4eP8Jh5eujKEoMzMgcqa56jA8wFrXU4qkdB2M2pAb0A6xkM0RWv3imW0s3mhZJWAnr+ojyz86ObnzwaW/ax6mtLsb8S85GOCwiFGK7JrZ3t6j4zvxN4yoSgjKZHGApMZIhkiWzc0C2pNvhnjsejLxM7HJBRJSvmB6wqPgatUGdbxFqU3BGM0S5VBSfzhQxdzwYeazrIyIyjoGZhRVJEta1NuKQ14+SFKfgjE79jeTF04zp0nQa48YHdsUFDggCMBAOw+EwZ+rW6lPCI4l1fURExjEws7j+YBhf//mbWDKrDs11VYrTmVq1VUYzRCN18bRKrZFDlFDosOH+Vz40fSxWeY5Wwbo+IiLj+IlocXLAtHH7Qayf1wQAMcGZHGAJGn3KjEz9jcTF00rTpZkaS/xxo1uc7D/ej3GeolGXPRstzY+JiMzAwMzi5IDIFwjj9k1tWNRSi0XNtRgMiShw2DDxtGIAEn6gk6HRm/obiYunlWqNMjWW6OMabXGS71jXR0RkHAMzi4sOmHyBcMIFfl1rI+7avCvtzM9IXDytVGuUqbFEHzfVFif5KJ0FG0REowkDM4vTC5j6g2HTMj+ZvnhaqdYoU2OJvl/TuIqYQDraaFyNmM6CDSKi0YKBWQ7QCpiOpZH5UVs5mKmLp5VqjTI1lujjptrihIiIRi9208wRcsBUU+yExy5EpsBSzfxko5lsMs1hQzYBJ0IS2jq8OBGSTG9Cmm6jWiPHLXBo/3lxNSIREcXjlSHL0u13lWzmJ2QT0BMUccTrw8KWCZhW48HG7QfhC4RHpPbJyHTpSLWbyNTUrXzcARGGXxv2PSMiIoCBWVaZEYAYKdoP2QT0hUTYBBvui3u85roqrJ/XhNs3tUWCs0zXPmlNl450S41MTd06RAklgKEFFex7RkREMgZmWWJmAKKV+ZEv+tNqPGjr8CasEJT/vailNlKons3aJyu11DCDXlbOSr3diIgo+1hjliVGApBkKNWgRW8erbUJ+o7h38uyWfuUzKbruUKtPhAw/31ARES5jYFZloxEABJ90ddbISj/PlL7ZFDIJsAbltDRH4Q3nH6RvpVaaoyEfAxEiYgodfl1lcshIxGARF/U9VYIFjhsSTeTzURtlJVaaoyE0RaIEhGRNmbMskQOQJQkk7XSylhFX9TbDnejua5K9fEmVBfj4dYGFErGgrLoadJocm1UqpmzTLWxsCqz3gdERJQf+HU8S8zYAkkvYxWdfdLbBL1QEoEkypkyWaQfXTDvC4Thdtnzdvse7iNJRETRGJhlUTp9tIyu5ou+6MuboN96RR1cDhvK0ujblel9Lx2ihEqHgHNO96CzsxdSnmXKonEfScpV7L83uo31FCMQ1n69JQNlLWMr3WYNKS8wMMuyVPtoGc1YqV/0paQeLx5ro8zFfSQp17D/Ht08q860Y4VFESI/9wAwMMtZyWSsMnHRH21F+kR0CvvvEQD87u1DOOr1q/5+TFkh5l9yNnp6/AiHtWcARFFiYDaMgZmFaU0TZDtjxdoootEr3xpBU2p2dnTjg097VX9fW12M+ZecjXBYREinZROdwsDMopIp7I83Uhkr1kYRwDqj0SjTNaZEoxkDMwtKpbBfNtIZK9ZGjW6sMxqdsp2xJ8pn/OuxoPQL+5mxosxjndHoZYWMPVG+YvdKC0pmmx6tfRiJMon7fI5eo60RNNFIYsbMIqLrdIoLHFgyqw4btx+ELxBOuC2nCcgKWGc0ujFjT5QZvMJbgFKdTktdFdbPa8Ltm9pigjNOE5BVsM6IWGNKZL6cnso8cuQIli1bhlmzZmHq1Km46qqrsH79egQCgWwPzTC1PSe3t3fhFzsOYlFLbeRnnCYgK+E+n0RE5svpr7QHDhyAJElYvXo1xo8fjw8//BD33HMP/H4/li5dmu3hGaJVp7O9vQsrZk/BleecxmkCHWzZMPKssjKYiCif5HRgdtlll+Gyyy6L/HvcuHE4ePAgNm3alDuBmU6dTv9gCDUWnCawUiDElg3ZwzojIiJz5XRgpqS3txfl5eUp3VdIo1G1fN9kj2GkTiedcWWCHwKWKQRCa+Y2oAinAqGgkBi8OZMIlIyc06BCUAbEtmxI5jHTke7zzbRU36N6nNLQhvOVJcNfICQJsNh7NhMydT5HM55Tc1npfFphDLkirwKzQ4cO4de//nXK2bKqqtK0x5DsMZy+AC6rr8ZfFfoBXVZfjc+VFaLc7Up7XGY56Qvge5vaVAOhx+Y1odztwtFuP5Y+uzNmiuuy+mqsu2EqzqwoSuoxtc7p34/1abZs8IWBiWPSf131mPl8M82M9zmdwvNpPp5Tc2XqfDocdjidds3fA4DHU5yRx89XlgzMfvjDH+LJJ5/UvM2LL76IiRMnRv792Wef4Z/+6Z/wpS99CV/96ldTetyurl6kmuAQhKE3fyrHeHBuA5Yp1Ok82NqIoG8Qnb7B1AaVASdCkmJTSQD46/5OfNYzAJ8/gKUKWay/7u/E0md3Gs5iGTmn3b6g5jG6fQF0dqrv5WaGoCCY8nwzLZ33qBVlO0OZb+fTCnhOzaV3Pqur0wvYQqEwgsHElk7RvwcAr7dfdxPz0cDo+bZkYLZo0SJcd911mrcZN25c5P8/++wzfOtb30JTUxPuv//+lB9XkpD2h0EqxyiEep2O1T6bjDW/dZi6wbHWOTUyFZzpD/jeUG5t6GzG+zzbrFRXmA/n02p4Ts1lhfOZ7cfPJZYMzCorK1FZWWnotnJQ1tDQgLVr18Jmy80l+rnSD8hIIDSSjUetsDUMG62OLG4FRUT5LDejmGGfffYZvvnNb+KMM87A0qVLceLECRw/fhzHjx/P9tDylpHeVSPZeNQKW8Ow0erI4lZQRJTPcvqKsWPHDhw6dAiHDh2KaZsBAH/729+yNKr8ZqR31UhnsbLdssEKWbvRhBlKIspnOR2YXX/99bj++uuzPYxRRy8Qykbj0WxOBbPR6shihpKI8hk/wSgleoFQtrNYI220Pd9sYoaSiPJZTteYkbXJwVtNsRMeu5D3Bdmj7flmixXqComIMoUZMyLKOcxQEmXfWE8xAuHEL0LScG+MsZXukR5SXmBgRkQ5KVdazBDlq5tn1eneJiyKEPm3mRQGZkRERJS03719CEe9/pifjSkrxPxLzkZPjx/h8FBQxsAsOQzMiIiIKGk7O7rxwaexW97VVhdj/iVnIxwWEQqxtCAVLP4nIiIisggGZmRZQUHA34/14VBfEN6whJDNOvtNEhERZQKnMsmSrLRJNRER0UhhxowsJ2QTsHyL+ibVzJwREVG+YmA2CoVsArxhCR39xqYIk719urhJNRERjVacyhxlkp0izMaUIjepJiKi0YoZs1HEyBRhdHasD9mZUuQm1URENFrxCjeK6E0R9gRFPLB1b+Q2G266UHdK0WM3PzjjJtVERDRaMWM2iuhNER7x+mMCsUGd5oB6x0sVN6kmIqLRihmzUSTZKcACh3bcnskpRXmTal8Y6PYFuEk1ERGNCsyYjSLyFKGSmfXVaDvcHfOztsPdaK6rUr19qTOzbx+nJGHimBKML3HCYxeYKSMiorzHwGwU0ZoiXD23ARu3H4z5+cbtB7GwuTYhOOOUIhERUWZwKnOUkacIe4MiegdCkSlCCQIuGO+JKbj3BcK4fVMb7pkzBSvnTEFf1O05pUhERGQ+BmajkEOU4LELkV5gfglYvXUPbppxNkRJwo6oBQAXjPegZUIVCiURlXLvMGbKiIiIMoKB2SgXsp1qIPv6gRNY1FKLRc21GAyJqChyYrynCC5mx0hFyCYkZF85xU1ElDoGZqNcdG8zXyCMx19tj/n9S3fMhCsDvcoo93GjeSIi87H4fxTQ2uvSyPZHRPG40TwRUWYwY5bn9LIa3P6IUmFko/lM7ApBRJTvmDHLY0ayGnq9zTLdq4xyEzOtRESZwatuHjOS1eD2R5QKZlqJ6CyPG7XVxTH/ja10Z3tYOY+fnnnMSFbDU+xU7W3GXmWkhhvNE9Ets+oVfx4WRYj8+08ZA7M8lkxWI763GS+qpEXOtC5/bk9McHYq08qgnijfeb39ij8XRYmBWRoYmOUxZjUok5hpJRrdwmER7IxjPtaY5THWj1GmyZnWmmJuNE9EZAZmzPIcsxpERES5g4HZKMD6MSIiotzAqUwiIiIii2BgRkRERGQRDMyIiIiILIKBGREREZFFMDAjIiIisggGZkREREQWwcCMiIiIyCIYmBERERFZBAMzIiIiIotgYEZERERkEQzMiIiIiCyCgRkRERGRRTAwIyIiIrIIBmZEREREFuHI9gCsRBDSv286x6BYPKfm4vk0F8+n+XhOzcXzmZsESZKkbA+CiIiIiDiVSURERGQZDMyIiIiILIKBGREREZFFMDAjIiIisggGZkREREQWwcCMiIiIyCIYmBERERFZBAMzIiIiIotgYEZERERkEQzMiIiIiCyCgZlJfvOb32DWrFk477zzcOONN2Lnzp3ZHlJO+tnPfoYbbrgBTU1NuPTSS3HLLbfgwIED2R5W3viP//gPTJo0CQ8++GC2h5LTPvvsM3z/+9/HxRdfjKlTp+Kaa67Brl27sj2snBQOh/HII49g1qxZmDp1Kq666ir8+Mc/BncLNO7tt9/Gd7/7XbS0tGDSpEl45ZVXYn4vSRIeffRRtLS0YOrUqViwYAE++uij7AyWdDEwM8GLL76ItWvX4tZbb8XmzZtx7rnnYvHixejq6sr20HLOW2+9hfnz5+P3v/89nnrqKYRCISxevBg+ny/bQ8t5O3fuxG9/+1tMmjQp20PJaSdPnsS8efPgdDrx5JNP4oUXXsDSpUtRXl6e7aHlpCeffBKbNm3CypUr8eKLL+L73/8+fv7zn+NXv/pVtoeWM3w+HyZNmoR7771X8fdPPvkkfvWrX+G+++7D73//exQVFWHx4sUYHBwc4ZGSEY5sDyAfPPXUU/jqV7+KG264AQCwatUqvPbaa3j22Wfx7W9/O8ujyy0bNmyI+fe6detw6aWXYs+ePbjooouyNKrc19/fjx/84Ad44IEH8JOf/CTbw8lpTz75JE4//XSsXbs28rNx48ZlcUS5ra2tDV/4whdwxRVXAADGjh2LF154gbMOSbj88stx+eWXK/5OkiT88pe/xM0334yrrroKAPDwww9jxowZeOWVVzB79uyRHCoZwIxZmgKBAPbs2YMZM2ZEfmaz2TBjxgy0tbVlcWT5obe3FwCYjUjT6tWrcfnll8e8Tyk1r776KhobG3H77bfj0ksvRWtrK37/+99ne1g5q6mpCf/zP/+DgwcPAgA++OADvPvuu7jsssuyPLL8cOTIERw/fjzmb7+0tBTTpk3jNcqimDFLk9frRTgcRlVVVczPq6qqWBuVJlEUsWbNGkyfPh3nnHNOtoeTs1544QXs3bsX//Vf/5XtoeSFw4cPY9OmTVi4cCG++93vYteuXXjggQfgdDpx3XXXZXt4Oefb3/42+vr68OUvfxl2ux3hcBjf+973cO2112Z7aHnh+PHjAKB4jers7MzGkEgHAzOyrFWrVmH//v145plnsj2UnPXJJ5/gwQcfxMaNG1FQUJDt4eQFSZLQ2NiIf/mXfwEATJkyBfv378dvf/tbBmYp+L//9//i+eefx49+9CPU1dVh3759WLt2LcaMGcPzSaMSA7M0eTwe2O32hEL/rq4uVFdXZ2lUuW/16tV47bXX8Otf/xqnn356toeTs/bs2YOuri5cf/31kZ+Fw2G8/fbb+M1vfoNdu3bBbrdncYS557TTTsPEiRNjfjZhwgT86U9/ytKIctvDDz+Mb3/725Fap0mTJuHo0aP42c9+xsDMBKeddhqAoWvSmDFjIj/v6urCueeem61hkQbWmKXJ5XKhoaEBb7zxRuRnoijijTfeQFNTUxZHlpskScLq1avx8ssv4+mnn2ZRdZouueQSPP/889iyZUvkv8bGRlxzzTXYsmULg7IUTJ8+PVIPJfvoo49w1llnZWlEuW1gYACCIMT8zG63s12GScaOHYvTTjst5hrV19eH999/n9coi2LGzAQLFy7E0qVL0djYiKlTp+Lpp5+G3++PyVKQMatWrcLWrVvxxBNPoLi4OFIfUVpaisLCwiyPLveUlJQk1Oe53W5UVFSwbi9FN910E+bNm4ef/vSn+PKXv4ydO3fi97//PVavXp3toeWkK6+8Ej/96U9x5plnRqYyn3rqqcgqd9LX39+Pjo6OyL+PHDmCffv2oby8HGeeeSa+9a1v4Sc/+QnGjx+PsWPH4tFHH8WYMWMiqzTJWgSJX0tM8etf/xobNmzA8ePHMXnyZKxYsQLTpk3L9rByjlqPrbVr1zLQNck3v/lNnHvuuVi+fHm2h5Kz/vznP+P//J//g48++ghjx47FwoUL8dWvfjXbw8pJfX19ePTRR/HKK69Epttmz56NW2+9FS6XK9vDywlvvvkmvvWtbyX8/LrrrsO6desgSRLWr1+P3//+9+jp6cEFF1yAe++9F7W1tVkYLelhYEZERERkEawxIyIiIrIIBmZEREREFsHAjIiIiMgiGJgRERERWQQDMyIiIiKLYGBGREREZBEMzIiIiIgsgoEZERERkUUwMCMi07zxxhs499xzcf755+PQoUOqt3v88ccxadIkzJ49G4FAAADg9Xrxhz/8Affffz++9rWvYdq0aZg0aRIWLFgwQqMnIso+BmZEZJpLL70UX//61+H3+3HXXXdBFMWE2+zZswc/+clP4HA48NBDD0W23Xn33Xdx991349e//jXa2towMDAw0sMnIso6BmZEZKrvf//7qKmpwXvvvYeNGzfG/C4QCGDp0qUIhUL4zne+g8bGxsjvqqqq8I//+I9YvXo1/uu//gurVq0a6aETEWWdI9sDIKL84na7sXbtWnzzm9/Eo48+iiuuuAJ1dXUAgEceeQT79+9HQ0MDbr755pj7NTU1oampKfLv/fv3j+i4iYisgBkzIjLdhRdeiAULFsRkyN577z089dRTcDqdWLduHZxOZ7aHSURkOcyYEVFG3HHHHfjLX/6C3bt349FHH8VLL70EURTxve99D+ecc062h0dEZEnMmBFRRhQUFGDdunWw2+34j//4D3z00UdoamrC4sWLsz00IiLLYmBGRBkzdepUzJgxI/LvVatWwW63Z3FERETWxsCMiDLmjTfewPbt2yP/fuGFF7I4GiIi62NgRkQZ0dfXh2XLlkGSJHzjG9+A0+nEz3/+c+zcuTPbQyMisiwGZkSUEWvWrMHRo0dx6aWXYsWKFfjud7+LcDiMu+++O9Ltn4iIYjEwIyLTvfbaa3j22WdRUlKCNWvWQBAEfOc738GUKVPQ3t6O9evXZ3uIRESWxMCMiEzV3d2NFStWAADuuusunHnmmQAAp9OJtWvXwul0YuPGjXj//fezOUwiIktiYEZEprr//vtx/PhxXHbZZbjxxhtjfnfuuefi5ptvRjgcxl133YXBwcEsjZKIyJoESZKkbA+CiPLDn/70J9x+++0oKyvD1q1b8bnPfS7hNqFQCF/96lexZ88eLF68GHfeeWfkd1/96lcj/3/ixAkcPnwYJSUlmDhxYuTnt9xyC6644oqMPg8iomxhYEZEpujq6sLs2bPh9Xrx0EMPobW1VfW2H374Ia6//nqEw2Fs2rQJ559/PgBg0qRJuo+zdu1aXH/99SaNmojIWhiYEREREVkEa8yIiIiILIKBGREREZFFMDAjIiIisggGZkREREQWwcCMiIiIyCIYmBERERFZBAMzIiIiIotgYEZERERkEQzMiIiIiCyCgRkRERGRRTAwIyIiIrIIBmZEREREFvH/A1uEHwqyTu3NAAAAAElFTkSuQmCC", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "marginals = [stats.gamma(2), stats.norm]\n", "joint_dist = CopulaDistribution(copula=IndependenceCopula(), marginals=marginals)\n", "sample = joint_dist.rvs(512, random_state=20210801)\n", "h = sns.jointplot(x=sample[:, 0], y=sample[:, 1], kind=\"scatter\")\n", "_ = h.set_axis_labels(\"X1\", \"X2\", fontsize=16)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now, above we have expressed the dependency between our variables using a copula, we can use this copula to sample a new set of observation with the same convenient class." ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "execution": { "iopub.execute_input": "2023-12-14T14:44:24.530456Z", "iopub.status.busy": "2023-12-14T14:44:24.529288Z", "iopub.status.idle": "2023-12-14T14:44:25.525035Z", "shell.execute_reply": "2023-12-14T14:44:25.524226Z" } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "joint_dist = CopulaDistribution(copula, marginals)\n", "# Use an initialized Generator object\n", "rng = np.random.default_rng([2, 0, 2, 1, 0, 8, 0, 1])\n", "sample = joint_dist.rvs(512, random_state=rng)\n", "h = sns.jointplot(x=sample[:, 0], y=sample[:, 1], kind=\"scatter\")\n", "_ = h.set_axis_labels(\"X1\", \"X2\", fontsize=16)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "There are two things to note here. *(i)* as in the independent case, the marginals are correctly showing a gamma and normal distribution; *(ii)* the dependence is visible between the two variables." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Estimating copula parameters\n", "\n", "Now, imagine we already have experimental data and we know that there is a dependency that can be expressed using a Gumbel copula. But we don't know what is the hyperparameter value for our copula. In this case, we can estimate the value.\n", "\n", "We are going to use the sample we just generated as we already know the value of the hyperparameter we should get: `theta=2`." ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "execution": { "iopub.execute_input": "2023-12-14T14:44:25.529274Z", "iopub.status.busy": "2023-12-14T14:44:25.528718Z", "iopub.status.idle": "2023-12-14T14:44:25.534724Z", "shell.execute_reply": "2023-12-14T14:44:25.533843Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "2.049379621506455\n" ] } ], "source": [ "copula = GumbelCopula()\n", "theta = copula.fit_corr_param(sample)\n", "print(theta)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can see that the estimated hyperparameter value is close to the value set previously." ] } ], "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": "3.10.13" } }, "nbformat": 4, "nbformat_minor": 4 }