{ "cells": [ { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# Polyglot Data Science with IPython & friends\n", "\n", "A demonstration of how to use Python, Julia, Fortran and R cooperatively to analyze data, in the same process. \n", "\n", "This is supported by the IPython kernel and a few extensions that take advantage of IPython's magic system to provide low-level integration between Python and other languages.\n", "\n", "See the [companion notebook](polyglot-ds-prep.ipynb) for data preparation and setup." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "%matplotlib inline\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "import pandas as pd\n", "import seaborn as sns" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "plt.style.use(\"seaborn\")\n", "plt.rcParams[\"figure.figsize\"] = (10, 6)\n", "sns.set_context(\"talk\", font_scale=1.4)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's begin by reading our dataset and having a quick look:" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(300, 2)\n" ] }, { "data": { "text/html": [ "
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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "data.plot.scatter(x='x', y='y');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Mmh, what to do?\n", "\n", "Let's try to build a simple linear model for these data, with some features we'll extract from the data. There's probably:\n", "\n", "* a linear dependence\n", "* something that looks broadly non-linear, let's say quadratic, to keep things simple\n", "* and maybe an oscillatorty term: but it looks a bit like a chirp, not a simple sinusoid. Again, simplest non-linear choice: quadratic frequency dependency.\n", "\n", "In summary, let's try\n", "\n", "$$\n", "y \\sim \\theta_1 x + \\theta_2 x^2 + \\theta_3 \\sin(x^2)\n", "$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Oh boy! Complicated data, Julia to the rescue...\n", "\n", "Maybe Julia can help us efficiently compute that nasty non-linear feature, $x^2$?" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Initializing Julia interpreter. This may take some time...\n" ] } ], "source": [ "%load_ext julia.magic" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "jxsq = %julia xsq(x) = x.^2 # Simplest way to define a function in Julia" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We've defined the function `xsq` in Julia, and in Python we have it available as `jxsq`, which we can call as a normal Python function:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "True" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "x = data['x']\n", "f2 = jxsq(x)\n", "x.shape == f2.shape # our feature should have the same shape as our data" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# More complicated features, we need performance... \n", "## Fortran can help us!\n", "\n", "Let's use this oldie but goodie to assist in the task of estimating our next non-linear feature, $\\sin(x^2)$:" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/bussonniermatthias/anaconda/lib/python3.6/site-packages/fortranmagic.py:147: UserWarning: get_ipython_cache_dir has moved to the IPython.paths module since IPython 4.0.\n", " self._lib_dir = os.path.join(get_ipython_cache_dir(), 'fortran')\n" ] }, { "data": { "application/javascript": [ "$.getScript(\"https://raw.github.com/marijnh/CodeMirror/master/mode/fortran/fortran.js\", function () {\n", "IPython.config.cell_magic_highlight['magic_fortran'] = {'reg':[/^%%fortran/]};});\n" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "%load_ext fortranmagic" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "%%fortran\n", "subroutine sinx2(x, y, n)\n", " real, intent(in), dimension(n) :: x\n", " real, intent(out), dimension(n) :: y\n", " !intent(hide) :: n\n", " y = sin(x**2)\n", "end subroutine sinx2" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now, `sinx2` can be used as a plain Python function too:" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "True" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "#f3 = sinx2(x)\n", "f3 = np.sin(x**2)\n", "\n", "f3.shape == x.shape # same sanity check" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Statistical modeling? Maybe R can do that??\n", "\n", "We now have our data `y` and our features $x$, $f_2 = x^2$ and $f_3 = \\sin(x^2)$. This is a classic linear modeling problem, and R is awesome at fitting those!\n", "\n", "Let's put our features together in a nice design matrix and load up R:" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(300, 3)" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "A = np.column_stack([x, f2, f3])\n", "A.shape" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [], "source": [ "%load_ext rpy2.ipython\n", "y = data['y']" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In R, this can be written as a linear model `lm(y ~ 0 + A)`.\n", "\n", "Note that we'll ask for the fit coefficients `fitc` to keep moving forward:" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "\n", "Call:\n", "lm(formula = y ~ 0 + A)\n", "\n", "Residuals:\n", " Min 1Q Median 3Q Max \n", "-0.7186 -0.1182 0.0090 0.1275 0.5450 \n", "\n", "Coefficients:\n", " Estimate Std. Error t value Pr(>|t|) \n", "A1 1.000707 0.012517 79.95 <2e-16 ***\n", "A2 -0.199631 0.002566 -77.81 <2e-16 ***\n", "A3 1.015147 0.016646 60.98 <2e-16 ***\n", "---\n", "Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1\n", "\n", "Residual standard error: 0.1958 on 297 degrees of freedom\n", "Multiple R-squared: 0.9741,\tAdjusted R-squared: 0.9739 \n", "F-statistic: 3730 on 3 and 297 DF, p-value: < 2.2e-16\n", "\n" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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\n" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "%%R -i y,A -o fitc\n", "\n", "ylm = lm(y ~ 0 + A)\n", "fitc = coef(ylm)\n", "print(summary(ylm))\n", "par(mfrow=c(2,2))\n", "plot(ylm)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Back to Python to look at the results!\n", "\n", "R gave us our fit coefficient vector `fitc`, we can now proceed using it:" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([ 1.00070744, -0.19963147, 1.01514731])" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" } ], "source": [ "fitc" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We construct our fitted model and visualize our results:" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [], "source": [ "yfit = A @ fitc" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "image/png": 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//gCfz2f5udnCEKSwZMkSLFmyxGY/86TIXC7X5m+P8CxIgCNcjjNaCwCsl3RV+eOPP/D6669Do9GgZcuWSE1NRZs2bdCpUyfcuXMH7777brX37QrS0tLw0UcfYceOHZg/fz7S09OhVqurpH0DnDdvOBK0DHNtaop1FYcPH8aMGTOgUCjQvHlz9OjRA23atEHHjh0BwMLMbcDZ+8QRpmbbmjB58mTcvHkTP//8M2bMmIFt27Y5nY8sNTUVGzduxJEjR5CQkIBTp04xJtKePXviwoULOHfuHIqLi6FSqfDII48w29bk2tm7P4RCIb799lt89tlnOHXqFP773/9ixowZTp0P4Pz1UavVAGyfh6s+pFx1v9R0//aeW7buRcMcmF6v+Ph4tGvXDqdOncKdO3cgl8tx+fJlPPLII07ddwah1TzRuDmG36GB2p5Hou4gAY6oEmfPnsWqVasQFxeHOXPmsNYZzEemZk3Dw8LaF3JFRUW1xiCVSvHOO++Ay+Xi66+/RmpqKmv9mjVrqrVfVxIcHIz+/ftj9+7dOH/+PP7++2/weDynvqyrg8GUZCtbu6Hd3oO+Ouh0OixatAgKhQL//ve/MXbsWNb63bt31/gYBs2OrWhGV2h3DLz22mvYv38/7t69i7ffftvpElO9e/eGQCDA4cOH0atXLygUCvTo0QMA0KNHD/zwww84fvw4Kx2Egdq6ds8++yx69eqFJUuWYNSoUfjqq68wZMiQalUMsUezZs2Qm5uL/Px8q9Gt1tJZ1DV19dyyFfluuHcNmjgDo0aNwvvvv4/du3czZmmD36gjDKbpkSNHYsSIEU5tQzQsyAeOqBIlJSXYtWuXReSfSqVizGamPi+Gh+LDhw8t9nX69OlqjSEnJwdSqRQdOnSwEN4A4ODBgwDqP3u5wY9l8+bNOHnyJPr162fhD+Sqr2FDpKgtgWnnzp2sfq6iuLgYd+7cQWhoqIXwBoDxgavJtejduzcAWM0PV1hYaDMvWXXw8fHB4sWLAehNkLby7ZkjFouRmJiIM2fOME7jBrN7YmIieDwejh07hszMTCZZrYHaunYGjV18fDwmTZqEyspKi0hgV2A4z3379lmsu3DhgtV0OnVNXT23MjMzLe51uVyOgwcPQiAQWLhipKWlQSAQYPfu3fjnn38QEBDARF87onv37gCMKW/MWbZsGZ588kls377dqf0RngcJcESVSEhIgEAgQHZ2Nm7cuMG0//7771AqlWjbti2jUQCMzrJbtmyBVCpl2nft2lVt7YxBI3Pt2jWW1kKtVmPlypXMA83ccT43Nxc5OTnV1vxVlZSUFISEhGDDhg02zaeGCEypVFojIWfo0KEIDQ3F/v378eOPP7LWpaenY9OmTRCJRE5/3TtLYGAghEIhHjx4wIoc1el02LRpEzZu3AigZgElAwYMQIsWLbBnzx5mf4Dekf6NN96okSneGikpKXjssccAAO+//77VZKvWSE1NhUqlwi+//ILg4GC0bdsWgN6XLD4+HkeOHEF+fj5jWjVQF9du3rx5aNq0KY4cOYItW7ZUez/WePrpp8HlcrFy5UpW3rHi4mIsWrTIpceqLnX13Lp27RpWrlzJLKtUKixevBilpaUYOXKkhR+fIXfk6dOncfHiRQwbNsyqqdzwnDD4+QL64JaQkBDs2LED69evZ/XPyMjA2rVrcfny5Sr5chKeBZlQiSoRFBSEZ555Bt9//z1Gjx6NHj16QCKR4MSJE+DxeHjttddY/YcMGYKVK1fi+vXrGDx4MLp27Yr8/HycP38eI0aMsJrp3BFNmzbF0KFDkZ6ejrS0NCQlJYHH4+HcuXMoKipC27Ztcf36dYtKAlOmTEFeXh4++OADp6K8agqfz8fw4cPxww8/wN/fn5UCw0BwcDD8/f3x8OFDTJo0CZ06dcLrr79e5WP5+Pjgs88+w7Rp07B06VJs3LgRMTExyM3NxYULFyAUCvHhhx/adJSvLjweD5MnT8aqVaswceJE9OjRAyKRCBcvXkReXh7atGmDnJycKlV1MMfb2xv/+c9/8MILL2DRokXYsGEDIiIicOLECVRWVjLHcCWvv/46MjMzcffuXXz77beYO3euw21SUlKwbNkylJeXY/Dgwax1Bj84ABYCXF1cO19fX7z++ut4+eWXsWzZMqSmprqs/ml8fDxefPFFrFixAmPGjEGPHj0gFApx7NgxCIVC+Pj4MH5y9UVdPbfCwsKwcuVK7Nq1C61bt8a5c+eQl5eH9u3bWxzDwKhRo/D3338DsB2hHh0djRs3bmD27NmIi4vDsmXLIBKJ8Omnn2L69OlYvHgxkyamsLCQSfPy7rvvutxkTrgPpIEjqsyrr76Kt956C5GRkTh06BCuXr2Kvn37YvXq1RYvJ19fX/z6668YOXIkNBoN9u/fD51Oh08++cTpTP/WWLp0KWbPno2wsDAcOXIE586dQ4sWLbB48WJs2bIF/v7+OHbsWL2XiOnWrRsAvZbFlhP6hx9+iJYtW+Ls2bNOm+yskZiYiK1bt2LUqFEoLy9HRkYGiouLMWrUKPz2228201TUlJdeeglvvPEGWrVqhZMnT+LEiRMIDg7G/PnzsWXLFsTGxuLWrVuslCpVpVu3bti4cSOGDh2KgoICZGZmIiYmBuvWrbPwK3IFERERmD59OgB9SSxnSna1adMGUVFRACxTOxj84UQiEZKSkiy2rYtrN3ToUPTt2xelpaX44IMParw/U2bNmoXly5ejffv2OHnyJI4dO4Z+/fph/fr18PLyskgXUx/UxXMrOTkZn332GTgcDvbs2QM+n4/Zs2dj3bp1NqsddO3aFYD+/rGlLVu4cCG6deuGgoICHD16lCmF1qNHD2zduhVjxoxBZWUl9u3bh/v37+ORRx7Bzz//zOTtIxomHF19OwoRRB2SlpaG2bNn4/HHH6+T47366qvYvn07fvvtN4toMIJoCNy+fRtcLhfNmze3iMIsLS1Fr169kJCQwDJ/NzR+//13vP766xgzZkyVk0tv2rQJb731FhYsWMAk6SYIZyANHNFouHv3Lm7cuMGUO6otFAoFAH1ZnZ07dyIhIYGEN6LBsmnTJjz66KP49NNPWe1qtRrLli2DTqezmuS3MWPwq8zNzcXXX38NoVBY5RRDBEE+cESjYcGCBZg6dWqt+4QsXLgQe/bsQWVlJTgcDl555ZVaPR5B1Cfjxo3Dhg0bsGrVKuzevRuxsbFQqVQ4f/48ioqKkJiYaFEirLGzefNmLFu2DCqVCjqdDnPmzEFQUFB9D4vwMEiAIxoN3333HSvXU23RuXNnZGZmIiQkBPPmzUOvXr1q/ZgEUV9ERUVhy5YtWLNmDbKyspCVlQUej4fo6GhMnToVkyZNqlIFiMZAXFwcAgICoFKpMGbMGMyaNau+h0R4IOQDRxAEQRAE4WGQDxxBEARBEISH4ZYm1KKi2k+0yuFw0KSJGA8f1iyBKqGH5tO10Hy6FppP10Lz6VpoPl1LQ5rP0FA/m+sarQaOy9VfZCdrhRMOoPl0LTSfroXm07XQfLoWmk/X0ljms4GfHkEQBEEQRMODBDiCIAiCIAgPgwQ4giAIgiAID4MEOIIgCIIgCA+DBDiCIAiCIAgPgwQ4giAIgiAID4MEOIIgCIIgCA+DBDiCIAiCIAgPgwQ4giAIgiAID4MEOIIgCIIgCA+DBDiCIAiCIAgPgwQ4giDcHqVKU99DIAiCcCv49T0AgiAIa0gVKqQfvo2scwWokKngJxKgX6dwDO0dDbFQUN/DIwiCqFdIgCMIwu2QKlRYtu4k8h5ImbYKmQp/Hc3F2ZyHWPh0NxLiCIJo1JAJlSAItyP98G2W8GZK3gMp0o/cruMREQRBuBckwBEE4XZkni2wuz7LwXqCIAhrzJz5PMaMSavydjqdDvn5ebUwoupDAhxBEG6FUqWBRK6y26dCpoJKTYENBEHUPlKpBNOmTcEff/xe30NhQQIcQRBuhZeAB18f+/5tfiIBBHweAIpQJQh3oiH+HsvLy3Hp0oX6HoYFFMRAEITbkZwQjr+O5tpc37N9GDbtvU4RqgThBlDEeP1AAhxBEG7H0N7ROJvz0GogQ3iwCBduFqPgoYxpowhVgqgf3DlifN++PViz5gfcunUDTZuGYebMuRZ9Tp06gV9/XYsLF85BIpEgICAQiYk9MHPmiwgNbYqTJ7Mxd+4MAMDPP/+In3/+EZs2bUN4eHPk5d3Fjz/+F9nZx1Bc/BBCoRDx8e0xdeoMdOyYUOvnx1uyZMmSWj9KFZHJlLV+DC6XAx8fL8jlSuh0tX64Bg/Np2tp7PPpxeehZ/swAMC9YhmUKi38RAIM7B6JJv5CnM15aHW7Cpned65Dy2BWe2OfT1dD8+laPHk+/8i8iZPXHlhdZ+v3WNtwuRzs3r0TCxa8hpCQUIwfPwmhoU3xzTdfoLS0FN7e3hg3biKys49h/vw58PX1w+jR49G3bzK4XB4yMv7GlSuXMXRoGry9vREa2hRHjx5Gnz7JmDJlKuLi2kEikeC5557GvXuFGDlyNAYOfAxNmzZDZuY+7N69E6NHj4NA4FXjcxGLvW2uIw0cQRBuiVgowNj+bTG2f1uo1BrG523uiky722WdLcDY/m3rYogE0ehxJmK8rn+PWq0W//nPf9C2bQy+/vq/8PLSC1LduyfhlVdehL+/PwBgw4afERQUjC+++Abe3kIAwMiRY6BSKbFv3x6Ul5chOLgJkpP74/PPl6NVq9YYPHgoAGDLlk0oLS3B6tW/ICYmljl2eHg4Pv30Ixw/fhSpqQNq9TxJgCMIwu0xDVhwNkLVsA1BELWDu/4er1y5jKKiIjz11GRGeAOAnj17o2XLVlAoFACAZcuWQyKpYIQ3AJBIJMyyTCaHv3+A1WNMnPgvDBnyBIKCjNpFlUoFgPO/bWVWt3MlJMARBOExGCJU7b00TCNUCYKoPdz192jI1xYZGWmxLjq6Ja5cuQwA4PF4KCwsxA8/fIcbN3KQn5+H+/fvQfc/O7ZOp7V7HI1Gg//+91tcunQB+fl5yM/Pg1qt/t+2tW8LJwGOIAiPwlGEar+E8DocDUE0btzx98jh6LVglZWVFuu0WqNg9ccfv+Ojj5YiMrIFOnfuin79UhAf3x4HDx7AL7+stXuMK1cuY86caRAIBEhK6oFBg4YgJiYOarUKb775f649IRuQAEcQhEdhL0I1IkSMob2i62FUBNE4ccffY0REBADgzh1LwTI//y4AvXD3xRfL0alTZ3zxxbfg843i0J9/bnN4jC+//AwcDgdr125AkyYhTPtff+2o6fCdhhL5EgThtlhLCioWCrDw6W4Y0isKfiJ9egI/kQBDekVRChGCqGPc8fcYGxuPiIgIbN36O2Qyo2B58mQ2cnKuA9ALcAqFApGRLVjCW0FBPjIz9wPQm0gBgMvVi0qmJtWysjIEBAQgOLgJ01ZZWYmtW39jbVubkAaOIAi3wpmkoLYiVAmCqHvc7ffI4XCwePFizJw5E9OmTUFa2kiUl5dj48ZfERgYCADw9/dHx44J2LXrL/j7+6NVq9a4c+cOtm/fypheDcJfQEAguFwuDh8+iBYtopGaOgB9+vTD2rWr8cYbr6F3774oKyvDzp07UFBQwNq2NqE8cB6Yd8cdofl0LY11Pg1JQU9eewClSv+1q1RpcT2vDGevP0TX2BD4eLG/O3lcx4aExjqftQXNp2tpSPPpzO+xtuFyOWjXLhZt27bD+fNnsWvXTuTl3cXzz0+HTqfFgwcPMG7cRPTs2Rv3799DZuYBHDyYiYcPH2DQoCGYOnUm0tO3ISIiEp06dQafzwefL8CxY0dw8OABJCb2wOOPD4Narcbx40exb98e3LlzG+3bd8R77y3D33+nQ61WY9CgITU+F3t54Di6ugiVqCJFRRW1fgwej4PgYF8UF0ug0bjdFHgc7jKfSpUGXgLP18a4y3zWNZv2XrfrEA2gWmV6Gut81hY0n66F5tO1NKT5DA31s7mOTKiEx0N1+BoOjpKCAu5TpocgCKI+qX9dJ0HUAIPJ7a+juUzZFsMLftm6k5Aq7CeZJNwHZ5KCmpL3QIr0I7drcUQEQRDuCwlwhEeTfvi21fB1gF7wnoYhKWhVyHJCY0dBbHnHAAAgAElEQVQQBNEQIQGO8GicqcNHeA7JVUz6aSjTQ7Cxln6FIIiGBfnAER6Lu9bhI6qPvaSg1qCyWUbIF5QgGhekgSM8FmdMbvSC9yysJQW1B5XN0kO+oATR+CABjnBrHJmCHJnc6AXvORiutSEp6Iq5yVg+pw8iQsRW+1PZLCPkC0oQjQ8yoRJuR1VMQe5Yh49wHnvXWsDjItBXiIVPd0P6kdvIOmvSJyEcQ3tZNw02lFyAVcEZX9Cx/dvW0WgIgqgLSIAj3AqDKchUILOX98tgcqvKC55wD+xd67+P5UKrA/xFPDzZsRSj470xvkccKgWREAgsr2lj9v9y1hdUKldC7ONVR6MiCKK2IQGOcCucMQWZaxLcrQ4f4Rz2rjV0GjwZth3DQv9EmKYIuKBv1gijIYn7AMqmTzBdnRH6/cUNV3Ax+ILaE+I4AF5ckdWoBFuCaOiQDxzhVtQ0LQgJb56DrWvtxanEG22W4bnINQjzLmKt4yluI+DMRIivLAB0ep858v9y7AtqKCZEgQ0E0XAgAY5wG6qSFoTwbEokCqvXWsBRYknMu+gZeNzu9qLcryG+9jYAygUI6H1BbQV7WKOxCLYE0ZAhAY5wG6qTFoQSlnoeUoUKy9efsbrumYi16OR3gdWm0XFRWBlm0Vd0+wtwC7Y7JfQrG7jQby39CsfBNo1BsCUaJzqdDp9++imGDBmIgQP7YvHiN9CvXyIqKyuZPmq1GvfuFdbjKGsO+cARbkVyQjj+Opprc32/hPBG7bDeELBl8uzsdwYjwraz2m7Jo/Du9bdQpGyKLsE5WBL/MXiVRsEj6PIstPD7HHcqAmwez08kgFcjMK2b+oJK5Uq8uCLLbn9Kck00VA4ezMQ333yDpKSeGDjwMbRoEY0+ffoxAVCFhQWYP38Oxo17CiNHjqnn0VYf0sARboU9U1BEiBj9uzSnhKUejjWTpzdXgXktP2e13atsitevvI8iZVMAQHjsIyhP+Ak6jvG7k6suw+y4rXaP1xhzAYp9vCjJNdFouX79OgBg+vRZeOKJkejcuSsGDx4KLlcv8uTn5yE31/NdCEiAI9wKa6YgP5EAQ3pFYeHT3bDvVH6jd1j3ZGz5OaaF/olQr4fMslbHwfJb8yDR+AEw5vRTB/aEtO0S1rbtddvQrVmx1eM15lyAlOSaaKyo1fpnjFjsvF+oJ8LR6XQ6x93qlqKiilo/Bo/HQXCwL4qLJdBo3G4KPI7amk9zE8/cFZl2fZ78RAKsmJvssuPXFw35/jS/hmKeBKs6zoAfX8K0bSkcgR/yngWXAwzoHokR/VoZzeNaFYIO9wBflsP0l4YMx49lS2zmAmzI82kLa+lVDESEiC1yKlaFxjiftQnNp+sYMyYNhYVsLf+QIU/gr7924J9/DuKff3Zh6dJ3WOuzsrLrcohVIjTUz+Y68oEj3BrzgIXaLl7fGLP41zXmfo4jw/5gCW8StQjpZU9hUI8WSOvT0lLI4Aoga7MI/uemME3iB9swoc9ijO2fTH5d/4OSXBOOEBQfgO/l+eBLr9b3UCxQi2MhiV8OVXBKlbabO/cV/P33n9i/fy9mz56H4OAmyM4+xqzv3LkrJk9+FmvXrsbQoWno3j3J1UOvM0iAIzwGZxKWVsevh4Ii6hbT8mdCrhxpTf9krVe0eglLhwy1u4/KsJFQ3eoCQcVppk149wdI4z4g4c0ESnJN2MP30jyWJtud4EuvwvfSPJT0PVWl7VJS+iMn5yr279+Lfv2S0aJFS5YAFxERiaSknli7djXat++AwYPtP2vcGfKBIzwKV/v1GMxMFBRRd5j6OQ5plgkxT8as0/CbQNd2juOdcLiQR89iNQnzfwY0+n1RehlLSHgjiIYFCXCER+EoSrWqDuuUxb9+EAsFGJvaBv9qu4fVrmjxHMD3dWoflU1HQisIZpa56lKc2/c15n2eiRmf7Me8zzOxae91EsIJwgaSdiugFsfV9zCsohbHQdJuRX0Pw61xuQn12LFj+PLLL3H27FlotVq0a9cOM2fORGpqqqsPRTRgbPmiVcevx55fmzNZ/M1rrxKuQVByAHzpZWZZx+FBEfm88zvgCaFoPhmi28aHfPPyX1Eh6wqAXQ/1zX91R7Ct/RBEI0UVnIKSPvarnhDui0sFuLNnz2LKlCmIjIzErFmzIBAI8Ntvv2H69OlYsWIFBg8e7MrDEQ0MZ33RBDyuQ78eZ/ZVF0ERhG187vyXtVzZdDi0wuZObWsQyuWRz7IEuHjfqwjzuod7SmPlhrwHUvx5+DZmjAlyzcAJgiDcAJcKcEuXLkVAQAA2b94Mf39/AMD48eORlpaGDz/8kAQ4wibWUh6YalDmjumEfafyrQpk5sKVo30Z0ifUVlAE4RiOqhReRemsNkWLaXa3sSWUP+ffC8LyI0y/vkEH8fu9UaxtD5zJx4wxXVx3AgRBeCw8nv6ZrtV6dsoWl/nAKRQKnD9/HgMHDmSENwDw8fHBgAEDkJeXh4ICqr1HWMeRL9p7P55wOtCgKn5tlOy0fvC+txUcnZJZ1vi0giqwj83+9oJNtt7sxuqbHGRZQqpCpqLABoIgAACBgXpt/D//7MKOHVuhVqvreUTVw2UCnJeXF9LT0zF79myLdSUlJQCMUi9BmOPIF82WlsxaoIEzfm0GXB0UQTiHd8F61rIifDzAsV1+3Z5Qnn43EVqdcdu24hsI92bfA34iAeX3IwgCABAd3RJjxozHtWtXsWLFco8tau8yAY7L5SIqKgrh4WyNxf3797F7925ERUWhadOmrjoc0YBwxhfNHqYCWVX82gDHpbsoD5zr4cpvw6v0EKtNET7e7jb2hPISdTAuSjuw2vqZaeFSOjvnW0cQhOczdep0XLlyBS1btgIAvPnmEmRlZcPb25vp89JLr2HXrv3YvfsAIiIi62uoNaJWE/mqVCq89tprkMvlmDFjhtPbcTgccGs5wQmXy2H9T9SM6synVK7CjsO3kXkmv0bHrpCpoNFp4cXnQavUwYvPhVKttdnfTyQAl8sBj6cfq7/YCxMGxmDCwBgo1Rp4uYHPW0O+P4X3f2MtqwJ7gOPXFrZm3RmhPLO4Dzr6nmeWewQcx6bCsQCAiFAx0vq2BNAw57M+aMj3Z31A8+laGst81poAp1Kp8Morr+DIkSN44oknMHr0aKe3bdJEDI4dc4orCQxs2MVu6xpn51MiU2LRf48ht9BR3VsdIoV30SPgOGLE19HS5zb8+eXw5lZCpvFBqSoQd1Vt0aysENImQ7Hol2t2hTcAqFRp8MJ/9iHA1wuPJkVhzIAY+Iq8nDzDuqVB3p/HdrAWBW3/heBg+7nf/MVeKJcqba6/oEwG8B2zHCu+hsgAOXp268S6vg1yPu1QqdLAuxZNx41tPmsbmk/X0tDns1aK2cvlcsybNw/79+9HamoqVq5cCS8v51+QDx5I6kQDFxgoRmmp1OMjUdyBqs7nhj3XkX7YdpJcb64CjwTvwxNN0xHtk2uznyla8JBd2hWbCsfgsjTe6bFHhIrx5uTuEPu4j7m0od6fXPkdBO5vzyxrdRzMuf4TOnXoiCd6R9u8Bo7ul2G9ozHV+xnwK84ybZKEVVA2n6A/bgOdT2uYarY7e+9FnyYn0DyQi2ZNm0Ldaio0gT1qfIzGNJ91Ac2na2lI82nv49blGriKigpMmzYNJ0+exGOPPYbly5dXSXgDAJ1OB00dBYxptTpoNJ59gd0JZ+fzwGnrZlMe1BgcugsTwjcgSFBWpWNzoUGPwGz0CMzG8bLu+CZ3Gu6b5AOzRV6RFNsP3XLLhL0N7f5U3/qdtXxZGoc75X64c/g2zlx7YNPvcEjPKJy59sBqIENEiBiP94xC5d1BLAGOf38X5GFs37qGNp/mGFPoSPBU+HpMbL5Bv0IH4B6gu78Z5Z3XQRk6xCXHa+jzWdfQfLqWhj6fLtVzKRQKvPDCCzh58iRGjBiBFStWVFl4IxoW1lI32PJpaiu6jk/bvYKZUd9VWXgzJyngBFa2n4fHQ3ZC//ayT5aDyFWi+kgVKmzaex3zPs/E/fO/stYdLunF/G2vdJkzwSbKEHaeSa+HGYCucaUOMUTrTgjfYBTeTODoVPA/8zS8Huyqh9ERBOFKXKqB++CDD3Dq1CkMHz4cH374YZ35sRHuhaMqCOYJdLnQYFz4JkwI3wgex9J/TaPj4nR5ZxwvS8Q1aQzuK5tCofWGiCdHc+98tPe9hH5BWWglYr/8fXgKzI7+BvHiK/gydyZUOtsfE1RxoXYwTaocwC9Fe9+LrPWHS3uxlu2VLhMLBXYrcKgDEqEVBIGr0qct4qpKwC/LhjqwpwvPyL3JPFuAOPFlTGq+3mYfjk4Fv/PTUdzvLHR8vzocHUEQrsRlAtydO3ewceNGeHt7IykpCdu2bbPoM3DgQPj6OleomvBMpHLnqiAkJ4Tjr6O58OeX4bVWn6CL/1mLfSk03thRNAw77g/FQ1WI5XqtD4pVwTgv6YiNhWPRJeAiJoStRQe/S6x+A0P2IlxYiHeuvQWZ1rpTqyFylQQ412Kavy0x4AS4HKM29IasJe4pm7H6OytIW13P4UHZZCCEhZuZJq+H/zQaAc6g2Z4c8zOrXaPjokgZimbe95g2ruohhHe+h7zVy3ZrBRME4b64TIA7fvw4tFotKisrsWjRIqt90tPTSYBr4OxwogrC2P5tMbR3NO7dPoUZIW8g3OTFYmDPw/74Me9fKFY5X4L8dFl73Od/ho7Ff+D5yNUQ8eTMuva+l/Dv2MV4+9piSDSWWgelWotl605S7jcXY5q/LTHgBGvd0VJLwaqmpcvMBThBcSbQxropv6HhJeChZ8gFdPY/x2p/59oinKroisnN12JcuDGFC+/6p/i/HR3wQMq3WXeYIAj3xWUC3KhRozBq1CjHHYkGjaOcbgYTWUDlGbwdPR88NdvXrUQVgBW3XsSJ8sQqH9tPJMDrkxORfiQUb19OwEsR7yJSaBxPjPg63ol5F29cfQ+VWqHF9qYCJlFzTH0deVCjq/9p1vrjZd0ttqlp6TJVUDJrmVd6DK9+kYFiKRcBvl7o2ykcQ3pGNVgh5fnojazlU+WdcaqiKwDg93tPYkT43/CGBADgg1Kk+m7Db9JRVrXkBEG4N7WcrINoTFSqNEydSltUyFRQFGRCdGy4hfB2vqID5l38tFrCG6B/+Rv8pBbMmAjeo4egCmCnTIgVX8OC1h+BB+u17yiYwXUYfB0BoJ3vJYh5MmZdqSoA12VsQdkVpcu0PlHQ+LRklnlQIZKr10iVSZRIP3zbav3chgBPchHhOMNqW5s3ifk7MCgM8qiZrPWDQnbBNMjHXiCJp9EYtK5E44YEOMJleJu8sG3RLfgqQs6OZbQABnY9GIhF15agRM02mfr68FmRh7YSa1t7+fN9glHabSuUQf1Y7UkBJ/B8i9VW92NaZouoOcn/06glmZlPT5R3g+5/jx9fH9eWLlOaaeE6+7FNig1JSDFFWMCOOj0n6YJrslhWtK669WyotEbDS3NhIdr43GBtt/NILjbtve6RQq5pxPOMT/Zj3ueZHnsuBOGIWi2lRXge1XFolir05peD5wrsljxqL76IN6LfhTdXwWrfUDAW6/InArCUzpI7N2dFHirVWqQfuY2ssyYRrgnhGNrLhu8O3xflXdYjIHsoBCY5wtKa/omr0hjsK+7P6l5THyyCzdDe0Tib8xCJAdms9mwT82mA2Mv29asGquAU+OSvZZY7mQlwgP1oV49Ep4V3Adt8Gt1zJr5NS2Xdz5WqAJwo74ZegceYtr5Bh5Ajb2PcFeCR5lTTiGcDZBomGjIkwBEO03442tb8oWmNKOFtvB3zvoXw9nP+BKwvmGB1G3OtmoDPg4DPs5tKwho6vj/Kuv6GoGMDwVMYqzrMif4KN2StkauIYtpq6oNFsBELBXhzbBhaHLvLtGl0XJwq78Isu9r3UOrXF/4myzHi6/DhyiHX+jBtDS1tjKAkC7zKPGZZxxWhsmmaxfl5CXjIlqSwBLh+wVn4Kf9pmH9AeZpPaLqTAVQE0VAgE2ojxyCA/XU0l/FfM3y1OuMrZO+haaCFXxneif03xDx2v7V5E60Kb35OmtSq8vLVeYehvPM6aLnG4AVvrhKvtFoOPkd/jq7wwSIsCZAeZC1fkcZBqmFHo1fH99CWjxPfNxL5lRHGZY4G8eLLrD4NTdPqbWY+rWz6BMC3HvHvHT0cSq3xdxXufQ9tRDlW+3qST2img7F60rkQhDOQANfIcear1R6OHpohYiXeiV2KEEERq31t3kRsLBxn0d/Xh48V85Ixtn9bRnhzlTOy2r8LJO0+ZbW1Ft3C89G/utQHi2DDf7CXtXymPMGij7O+h876OJUK2cEr7XzZAlyD0rTqtPB+sJPVVBlu+dsy8FifDrioSGK19Q48arWvp/iE2qruYoqnnAtBOAsJcI2cmny1Onpo8qDGnPBlCMUVVvuf94dgY+FYq9skd24OoPackSubT4KiGfvYw5pswVNdHpLwVgsolWp4lxxgtZ2usBTgnNGIVUVb3DRmAGvbdr7G5M4NTdOqengSXKXxA0mm8cGvZ1vY/K2IhQJEdJnEakvws0ykDXiOptLLiQAqTzkXgnAWEuAaMTX9anX00Hw28kd0DzjJajtamoTv7kyFtYAFw4u1pmZdWxg0eZL4T6ARRjLtHOjgd3EuoFVWa78EG1Ph+/2vfgZPWcisU2i8cVUaa7GNMxoxR9ri7YduMsf/O6cFa32c+CoCxTwM6x3dYDStUoUKv+y+ij1//pfVfrq8M/48VmD3t8ING8hajhFfh5Art+jnSZrKZAdjDQkQUjQq0aAgAa4R44qvVlsPzeSgTIwI285quyZti49uvgItLPfn6yPA3DGdIBYKamzWBYzCmjVN3sasByhq+zmrP196CaJbnzncL2Efc+G7ix87L9l5SQeodex7zlmNmCNt8a5jdzF3xQG8/u0RrD+mQ6kqgFnnw1OgQ/BdDPtfYI6n5wgzzHPGibvo6sf+SDpZrk/ca++3ohU2h1pkdOjnczRo78suQedpmsqhvaMREWK9VB4A3CyoaLA5AInGCUWhNnIMNUlt4egL3JAmwlTgihLextzolax+RcoQvHv9LasVEABAIldh3+l8jO3f1imzrrVoMvNoWl8fPgAOS8toTCvgh4+TJsD3vrHot+jmx1CET4DWJ4rqQ1YTc+E7wazG7R1OT/iJBM6lgDHBGW0xAEjkhgTNHFySxKN3kNG3K0hxAh+vj0NRqbzK0dbuhmGexTwJ4n3ZLgony7oxf9tLl6IKSgFfdp1ZTgy+gJPl3ap0XdwJsVCAhU93w/INp3GzoMJqH4pGJRoSJMA1cqwJYAac+QI3PDRfWXkQSrUWIq4Ub7T5EEJeJdNHpeVj2Y0FKFUH2t1X1tkCjOjbymmzrqlm0Fo6E+PL3JK8B1JsKJ6GZwUZ4KoeAAA4WgVKDr6Mty++xHrBP5oUiSBf64InwcZU+OZCg05+51nrjz5ojxVzk6ucwsOgLXZGiDNwSdqOJcC1872MHTfLmWVPzhFmmOfOfmfB42iZ9lx5CxSpQplle+lSKvz6wgc/MMvtRWcxKKkF0vq29Ki5MEUsFKCoVGG3T4PLAUg0WsiE2sgxCGCm1Q5MM7c78yAX8LhQqrUAdJjX8gtECNn1UL+5Mw1XpTEO91MhU4HDQbXMus6kMzHnn3NySGPeYbW11e1GS+5JZjx/Hc3FKysPYe4KyujuCHMtWYz4ukX5rIslEdXOv+bIx8mci5J2rOV2ZiZCA55WmcF0njubaThP/M98asCWC4RUocJHu/1YbS2FOTh48pJHmxkpGpVoTJAARzD1Q1fMTca3r6ZixVx2Gg9HeAl48BMJMDT0L/QJOsJat+vBo9j1YBD8RAKnBTNHL2prZl1HZldrVMhUqGg6ASp/9kvvucjV4EDLapPIax5E0dAx96nsbOb/draiE3xF3tWOBHTk42ROjqw1K99ZqNdDBAuKrfb1pBxhpvPcwfcia92Z8s6s5X4J4Vb9/dIP38bl+164JTcmseZxtGgnvuxxAq0pFI1KNCZIgCNYVPfB9kQHCZ6LXMNquy5tjW9ypwHQv0icFczsvaitmXWd9Y8yx08kgEAggCTuP6z2tuIb6Bt0yOo2nvxyqwtMr7G5duhMeecaRTVa0xbbQ60T4IasFastRnTNal9P08okJ4TDj1eOaB+j/6pWp/f7M+DrI0DmmQKraXgMHzwXKjqw9hsr1s+PJwm05lA0KtFYIAGOqDaGCM9Xv8hAH+lr8OYa03DIND748MZrUOm8GKHLWcGsqmZdZ766rWEQJmTiRGQV92Gtm9x8HVOhwRxPfrnVNoZr7M2pRDuz6geFgp41jmo01RYPSmrhsP81GdvXKUZ83Wo/T9PKDO0djX7Nb7LabspbQqYVgwNALORDIlcxHzamaXhKJAqm3dy1wSDAeZpAawpFoxKNBQpiIKqFadDAtBbfo6UPO5L169zpkPKjMKQbO5pt4dPdnCpGb3hRO1vz1FE0rTmmAqOXgIffiqegd9ARxiG8ubAQjzbZg50PBlts29DqaLoSg/B97tB6CDTGIJIyROKFCcNc6hyf1rclLtwstur7aBDor5kJKLY0cJ6U7wzQz/OkrkWAsfwprik6YlCPFtBqdMg4cdfqdnkPpMjIvssEhFyTmc2P+BoAHfxEXh57f1M0KtFYIAGOqBaGoIFE/2ykNU1nrdv7MBVebSdjxQDLwIWqCmaAc2Zde9G0hpe5RG5bYIyJT8TfBYMwNNRYkmhMs9+w+8FAaMx+Jp6mralrxEIBBra4DtwytnlFPOryyEbDi9reB4GurAlwbAWzTVtxDgAdTBNJe1q+MwMiCdvftHf/MegeFoO5KzLtbpd1toD54MlTNIdM4wMRT5/E159fgTCve+iW0MPuPtwdikYlGgMkwBHVIvNsAXx5FZgT/SWrvaAyDF/nTgf/fiEmWBHgTHGlEOTMy9yewDi0dzS++fUZPKbNgICr1xyFed9HavAB7Clml2Uy1dZQvjjrCErYBexVwSm1chxHHwQc/3hoeX7gavSaGH9+BdoEPEROWYjH5jsDAGik4JefZjWpAvs4HYWZeUYfKa4FD9ekbdHZ/xyzvlezXDzay3qpO0+hKtGo9DFGeCokwBFVRiJTQiJXYX7L79HEq4Rp1+i4+PjGK5BrRUA9PBwdvcztjUUsFGDGU4Nw5eBIdNRuZtrHhm/GvuJUpnpERIgY/bs0x6a915mEwZ6cELZW0MjAL2dXB1AF9q31w1q9vhwu1P5d4FVi1Eq9+yQXkpBUj35xC8pOgKMzmqjVPq2h8w6DF+BUvjyJwrjtNRlbgBvbpRRKD7+PnckbSJp0wtOhIAbCKUxLUs39PAs9A47ikSb7WX02FY7GVZm+zmV9PxyremylSgOxUIDwPouh4xi/ayKF+egTdJgJopg7phM+33zO5XVaGxKCsmyWcKHxaQWtsP58zNQB3VnL/LKTHv/i5pdls5bVgb2Yv6uaL8/cT1AkPVX9gbkRFI1KNHRIA0c4xLzKgR+vHLOjv2b1uSmLxoaCccyyJziFm5feMmjSJjcdB797vzD95nf6E6W93wI4XGzae91hndbG7ldjYT4N6mOjZ92g8u/GWhaUn6inkbgO83NQBSQxf9vzB7WGuQDHLz8NaNUA1zNfDwa3BkfzYIhG9bQqHARhgDRwhEPMqxxMa/E9ggSlzLJax8OKW3OZIuW+PgK3dwo3L7oOGDVpH518DDqTn4ZAegleRfpADWfqtDZ2BKWHWcuqwPoV4NRmAhy//IxeQPFg+GVsAU4dYDxHa2l49HWBrVOkCkGJKoBZ5mjl4MlyXDzi2sXUQmDIe5d++DbmjumEVuF+NrejvI6EJ+OZn1hEnWIqtPQKPIL+TQ6w1m8qGIMceRuTFp3VL1p3cvi3V3rrVGEQrkUOQqzOGJEqzPkQq8+0JcdoR2hVEJQeYzUp61kDpxW2gNYrBFyloeatDDzpFWj8OjjY0j3hKvLBqzSWq9NxvaH2ZZ+LNX/QuSsybdy/HNyUtUJQgDEogi85B41vXG2dgkuxVgfZtM5tmbTSztYUjUp4LqSBI+xiGs3lzyvHrCi26fSGrCU2Fo5htUnkaiYJqLUvY3eoKepIk/Z9Thpr2VtyBgVXdjvcb337/tU3/IrT4GiN9U81XmHQ+rSuxxEB4HBYGioAEJgFWXgS5gEiar8EgOtls7/hfrTnE3ZL3pJ9jIoL1R9gHWPvYyzvgRQSuX1tqycnLSYaNyTAEXYxrXIwLWoVggRlzDq1jofPTEynBgxCjD0zpasd/q3Ve7TX15Em7VJJBCRBj7Pahjfd4XDfnuD7V5sISszMp0F9AQ7HRu+6Q+NvFsjgwQKcwMx8qjI7N1vYq1BQxo9lLfMk56s3uHrA0ceYo7uvsX90EZ4LmVAJhyQnhKPg4jakBrMThG4oGIebckvtSr+EcEgVKizfcLpWHf5tBSE4SufhbIqBf8pGYgSMZtRegUcR6nUfRcqmVrfx1ISwrsQigCGwdz2NhI25Bo5f5rkCHL/c3P/NsQBn+K0YzIkc6NMZ+/oIkNw5HIM6BQMnjTWB+RWeIcA58zGmc7CPxv7RRXgupIEjHDKsZxjmtPqO1ZYja4VNBaMt+kaE6vOkLVt30mYZGwM1cfivqXbPUYqBfgnhWH8+ErfkUUwbj6PFsNB0q/0H92hB0Ww6rWUAQ1Dt539zBotUIpLzgNa+b5RbotNamlAdaOBMfysGc6JBqAkQe2For2h4BbVnpc/hVeaBoyp26dBrA2fqIPv68J2qwUwQngYJcAQA6yZIg/9a9tbXECYwOk1rdRysLpyD6ObBzMPTTyTA6Efa4s3J3bHvVL5TKQxq4nviyO/FUWSZPXNSRIgYjyZGQiJXY/s9ti/c4JDd8OayS/T4idQ6YeEAACAASURBVAQYPyCmcQtvAHiSS+CqjdHJWn4gNL7t63FERnTeoYDIKIxzdCrwK87Z2cI94clywFWXM8tafiA0ojZ2tnDyt8L1gkbMDlrgV1ys+YDrAHsfYyKuFKM7PcQ7Q+7jqZ5aJirXkNex0X90ER4NmVAbMfZMkACwbN1JaCuu4cv2G1nbHagYhqnPTGEefCq1BkJvPoKDfVFcLHHok2KgJr4nzqTzsGeedab0lq+PAPuKU/BM5E/w5+u1ib58KR4J3oedD4z+cWSC0SMoPcRaVgX2BDhu9I3YJAmQ5TKL/PKTUAck1uOAqg6/4ixrWe3f2aGPobO/FbVvB/AlxuAFnuQ8VMH9qj/YOsJWvrdBTXZjZvS34GvUwEXgKXDxxOiVkIQ9RT5vRIOABLhGiqPQ+3bRQch7IMG7Md8ytUEBoEQVgG9uTECKif+a6cPQGZ8UA9UVfFxV59BR6S1Dwe+dRYMwLvw3pj2t6Q7sfDAYAIdMMCYIStgCnMLf6P9WnylkpAr9fR2U548JoSYrSk4BLeplSNWGX3GGtaz262y3f1V+K2q/jkCh8WPNU/zgrH2MtQ/Kw6yW34IH47OLAy38Lr0EjV9HqP271OOICcI1kADXSHFkVrlfKkdyUBa6+rNfGP+9+xykGl+bGi5nAgSAmvme1EadQ2t9DV/26UVDMLrZFvA4WgBAlM9ddPM/jeDYNIzo14pMMACg01lo4N5LF+Jm5T4AgFKtrZeasaYfKl39ogATAa449xh0sSqPun788qoJcFX5rZjnkuN7UCQq62NMWYnQk4PAq7BMH8LRKeF/9l8o6ZUFHd+/HkZKEK7DjewbRF3iyKwi0FZgaosfWG1nyjthf3EKAP1Xu1SutLqtowCB1s39a+x74kwQQk0R8LhY+HQ39OjeDcfK2aak/+t1HBMfjfWol39twpXfAq/SeE9Var2QI2sDpVoLpVov+NZHzVjTD5Ub8lasdc0FN7Hz8PU6GYdL0OksNXD+9gU4wPnfisa3I6udL70C6BzFcLof/gWrIKiwXc+VJ78Fn9xv63BEBFE7kADXCHHGrPJ0xM8IFpQwyyotH1/nzoAhqxIHwIsrsoyJeU325yhA4OVxnWss+Dg6RnW1e+aJh9/47gigA1omL2T1ExX/Da6CymYZMNe+XZbEWeQHNFCX5YtMP1TK1IF4qAxmlgVcNW5ePV4n43AF3Mo8cE0iQ3U8MTSiNg5zIDr7W9F6N4PWRCvF0UjBVdx1wcjrEJ0OPnfYEfOKsCchj3ye1eZd8KtHCqcEYQoJcI0QR6H3bUXXMSz0L1bbb4WjkFcZwSwbHn0Grcr7a09AItNr5KzVYnR11FdtHMNeapJ3tvOhFMUzfTk6DYT562p8Hg0Fc/+3CxL70ad1UTPW2ofKDRk7b2EzzlWbmmR3w9x8WqiJwbwvDjmscOL0b4XDsYhE5Umv1M7J1BL8smPgyW8xyzquNyTxH0PadhF0HOMzgS+7bpFPjyA8DfKBa6QYHPTN4UKDWVFfg8sxfp0WVIZhU6FlzjdT8oqk2LznGob30X/NOwoQcAWuPoZ9v0AZjirSkIzLTJsw70fIWr3iXpGW9YR5Al9HAlxd1Iy15v91Q94KSYHZzHJr0U28uCKrXvzzqoq5+TT7fnOLD42zOQ+tfsA4+1tRi+MgKDNqJfnSy1CFPOriM6k9hIXsiHllyOPQeYX+7+/B8C4yVlPxLtjgcVHIBGEKvXkaKbbMKkNCdyJGnMNq+yZ3OpQ6b4claTKOWwqEgPUAAVfjimM48gv86VJ36LhCZpmnyIXg4Z4aH9fT4VYWgi+/wSyrdTxckdovhF5X5YvM/b9uyNh+cK1F+nHXh39eVTHXwOXILPO/OWOetjfvGnE8a5knvVqFEdYzWhW8C39nNSnCx5n8PZ61Tlj4G5SV7JyOBOFJkADXSDE1q/j66BWxQfxiTI74mdUvq7gPTpbryxA58hgpkyih9NCi0M74BRZKhJCHjmC1+eStqb1BeQicB1ms5evSNqjUCm301lNXufPMP1TMBbhWPjdhemfXpX9eVeFL2ImHzc/FQE3M0xoxuyYqX3rZRk/3w6t4L7iqh8yylh8IZcggZlkZMhhafiCzzFU9wNfff23X/EwQ7gwJcI0Yg1nl83kp8PUR4PkWqyHmyZj1Mo0PVt3VO//6iQQOS9YE+HrBy0MTZDpTksdPJEBlFNsZ2qsoHdzKwtocmltiGuxxcN9m1rqLDsyndZk7z/ChMqx3NAJ8vXBPGQapRsSs9+XLEOZ1n7VNXfjnVRWOqgQ8k4ACtY6HOwrrSexqUuFE7WumgZNc9hhnf6+inazlyrARANfb2MATQtpkKKtPR7/zHqF9JQhrkADXSFCqNHaj1Z7qeNuiWP26/IkoVjUBoNeYOEpH8GhSlN317o4z6RbUAT2hFpsGM6jhnf+zw0jAhoR5sEcHX3bJpfNmAhyXqze+11f5IrFQgHED2mLdO0Owcn4qbspasta3Et1kLdtLkVNf6ErZ2rc78kibUb41MU9rhVHQcX2YZa66FBxlUbX2VdcIStiaYGXoUIs+R4vYAqrpvevO2leCsAYFMTRgpAoV/si8iQNn8plcXF58LlI6N8eIZJMEtBoFhnh9DJi4g+TIWuPP+/oHIJcDqFRaPJYUabVkDaAvYj9mQAyUCvd68VUFWyV5ABOtEYcDReQU+F4xphWRXvwWMzd0hq/I2+0d4V2BabCHmCdBSx/2S++SpB1rWSzk4+NZfdyifJGvjxcuKNuiI4wv7jY+N3CktBezbEiRU9+BDaal7lLFWzHd5Pvolrylze1qZJ7mcKEWx0JgEjDBl16Byrtp9fdZB3CURSxzrw5cqAL7WPT740okHo0xLseJr4LPUTHCsKMSfAThTpAGroEiVaiw9KcTyDhxlxHeAH1G/IwTd7F07QnGXCC6tRwChdEJXavj4MvbM6AF73/LQMaJu/h88znMHdPJajqCNyd3h6/Iqw7P0PU4m25BET4BOo7RNBPmVYgOvhcajSnGNNijnfgyK2L5piwaEo0fq78hUtJd8A7tylo218CZp8ipj+tpruU0F5Jv2hDgXGGetkwl4v5+cF7FbOuB2r8LdIIAVptSpcGt8iAUKUOM23FViBEZkznXxPxMEHUNaeAaKOmHb6OgWGZzfcFDGdKP3MaEJEB0czlr3c6iwbgmi7XYJu+BFPtO51tNR8DjOYpR9QycSbegEwTjGh5BLIw+NwOb7MV5SScARlNMQ/ySNw/26OB3gbXemv9bXUWcOkt850eAU+8wy4ZIVFvUx/U0T2nTUnSLtd6WBu6VCTVPkm0uwPE9IBecoIQtwKmCki366P1cvXChoj36NznAtHfwu4BLUr3W2N3uVYKwB2ngGiBShQoZJxxnUM88kwffy6+AozOaPcvUgfgp/2mb25g6eDf0B5298/vtFts80yfoELy5Rhu0OzrCuwLzYA9L/7cO5pvUWcSpM0jlKmw76wO1zvjtGur1EP68crvb1fX1NNVycqFBtJCdoueWzFLL5icSINDXfvSvM6jNNXAy9y83xi82F+D6We2XnBCOC2b3qOk9HBIgbNDac6JhQQJcA0OqUOGDtSegMjGb2qKrcB+8ivey2lbdeRZSja/NbcjEoNdCHXnQgVWWScRToE/gYWa5Ic+TIdjDm1OJGDH75W6ugWveRFRnEaeOkMiUeH/tCfx5rAC35ewITnMzqjl1eT3NtZxh3vcg5FUyy2Uqf5Sogyy2c5WgrBGx88vxZPY1lPWFIRL67S//gEBmzFenAw+qoN5WtxnaOxpF/O6stva+l8CF/treLKho8C4QRMOBBLgGRvrh28h/aNt0akDElVoUq5cHJOOEfKDd7cjEoNdCiXyE2Fucymof0MQoDHvxuZA00JeAIbdarPgq+ByjUFNQGYZilVGo9eJz8frk7m4T0LF5zzXkFenNkjctEvraF+Dq8r4313K28rnFWn9LHg2YpdV2ZWoWjYhdbowrzwW0lTZ61w8lFQrGR7AF7zxr3a3KGEjUPhbbGIJCrpSFoVxt9NMU8eRo7m3UeFI0KuEpkADXwHBUTcCAtWL1W6QvIzmhud3t3MkcVp8kJ4Rjz8MBrLYEv3MIEehTLijVWryy8hDmrmh4SUINwR79wtnatwsVbNPUwMRItxHeAGD3sf9n78wD5CjrvP/tqq6+557J3JnJBSHHJCEhJJAhEAJC5NoVBLlEXZUXeEHRRdTd13VdEW+DiLIiKwuoKCqXiUJICAkJISSQyUXumWTue6bvruv9o1Pd9VRV93TP9DXTz+ef5HnqqWOqn6rnV78zaobU1kSdaY+vZcr0vFentNELcI268anwfYvA2iHa6iJNEySwvtbY4zOEOvfgV36xI+IjONtBVo5pGZ6tE8DUQSEev4gTmt9f62M4VV0gKFMLKsBNIRKpJgDELlb/2n5rzBJbQGYTsOY661Y2QHLNxVFvNCcBY5JxWdlbxDiPf2pGpjptHC6bTmqt1PVPc22uhHgRo96or+dJf+IauGz8LetWNkS0cFrhQhuBmirfNzWigwzYyLYfnDYqV81sB3ltx32zdQKYNiikVZsL0K7PBThVXSAoUwcqwE0hEqkmEK9YvfLSSiSVRr6jaKHeGiK1cGEzqj5zfUe/Fz954cOpI8RJPGyj7xNdBz3zc3auWDgWhc5omhttMt9aWwesJtJM6LJn728Jny88j7QpRMIm1Cjp0A6GbKSAy/pOxBiZGbQCWBQZszW1m497Z+sEMK1lQisEz9AIydRVhDIZoGlEphjNTdXYuMu4qDwQv1g9APz4D/vw8O3nj5lKgwJwLIO3+i/GZ2p+A44RAAB1tk6c6zyCI965uvGKg3SuCTfjwez+ECYp6mspWirxH/fdDI7L3VfKFcun489bwtoan+REV7AS1dYeAABrkjDd3oZuzMeqpmpcsawexS5rvMOllbA2XYCd8aHq7DUCgCgzOKMKwEhlkIg6cfAalwn/oorzyLYGLpZryDRLLwrN7kjbJ9rQEawhBDAjy8Qpv7YmbivRpq4ilMkA1cBNIUK8GNcEWlfg1hWr3zZ4caRYPaB34KXCW2wsHAvZUobdI8uI/svLtsTYY2o4SHsDPA6//yrRd4pvQkjM7ZqZN66Zg9oKdWF70g/qax9nsP7+Ztx06eysCm/eAI+Xt5+CCUCDnfwY6wjURD62UhkkojVRdgZJAcbkOTbhc4yXeK4hWv+3k75ZkMEQApiRZaI9UAtein5slFsGUKBKJbNtX9eU812lTD2oADfJUTv23v3jrfjGf7+L8xpKsHZZHWECXbusDvfPflZXrP6p9s/pjkkdeBOnuakab2qCGZpLtoMzxS4pNpnvr7LQs4PvEP2b2hpz3s/P5bDgm3csjbgHnNREohaGDmfpyqKoBSkZQGOcAIZUBoloTZQdATKYSRg5qt0lY8RzDdEKcMd9syKl/9RzUVvnWJA5nAnUEX1qM+pU9V2lTC2oADeJMXLsdfvCSXwPtw7hkS+swJNfXY1HvrAC6N6E85jXif2f67iNSPugQB14E2fdygZ0cc0Y5qNle1xmLy4sfi/mPm4fjz+8eWxSLgwbdrahs9+NeS5S2DnomTcptItOe7jSxvr7m7HuquuIbWZ3S5auKopWkDJOIZL6wAqtibInWAlRji4PLvQBgidl50sWrQCmMFuTh/C4d1ak9J9a+DKyTIxlRgWmhsacMnWhAtwkJrZjb/TFw5lZ/GPHUdxUtJ7YfsI3E3/ru9pwX+rAmzhOG4eHbl+ONus6on9NHDMqALy++8yk/Lrf1tKF6bbTKDBHF3OP4MRpf7jS+qTSLhYvJppm90FAzu6Hi1aQMiqhlerACiMTpQgzeoKVRJ/szp4fnLFriGyggYtGz6qFL6M6x10CmbBYG4mqMKnmNCWvoALcJGasnG/Ki6es++eosUXHaovVa4nlwBviqVbOCKeNw/QL7iH6zi/8AMXmoRh7hJlsX/fKQj+/gCyfddhzXmQuTSbtrWSthsRFC5ubJF9Woy21gpQJkj4C1deIG1bNSGkQTCwTpdYPzhbMXkUGRQDjzNElq5zrJz4kfKJNd81q4Uupc7z+/mY8+dXVuOZqUgOrFZYVcnlOh3iRvpfzmNwNGaPEJZGcb24fj+DgYVxf9keiP1axekBvmlFHprl9PAocHFYtrMa6lQ2TPpIylQgFTRBc82H2hIu7syYJq0vfxsu918fdb3tLV84XvVfPAQBY6CIz3x9Q5X+bVNpbkwlCwUKinJx5dB9Ep/GzkW4UQUp5rqdZ+uBg/ZHtHsGBAFedlvtrFL3eEajBsqK9kXa2U4lwLEOUCGzQCLdt/gbIGp2EInxp7xlnZiEUkImn62wdMEHSHSPX5rQ3wOPlbafw9r5OhM7eD4uZwSWLanB9c2qFe0puk3YN3Le+9S188pOfTPdp8o5Ecr6ZIEPee38kxQUADPFFhsXqjfJ3xfKxo869BphMCFTfSnRdV79jzN1y+eseMJoDMhYUHCTG7HcviPx/sqVfEAoXEW2zZ3+WriSM2tfLKIBh1RiVUsaLkYmyM0ieK9upRLTvvEZNhG6bX+8TGE/4krlySObiSNvKhFDODejG5dKc9gZ4PPK/e7BpT3tEeAPClV827WnHI8/uoe/lPCKtAtyLL76IP/zhD+k8RV4Ty7FXYVXJdtTLu4i+35z5rK5Y/ZXL6yPpE9Rfb4n42FGiBKtuJL7ep+EI5hZ3xt0n177utWjnQL2tHcXcSKTtE2044Qv7EuVa9YVEEFwLibZ5dF+WriSMWpDSCnD98uy03V+1j5jLHjbMdAU07xdPdgU4gHzn6TVw03Xj4wpfJhNEJ6n9rrV1kO0cm9MbdrahazB2reuuAR99L+cRaRHgRFHE448/jn/7t39Lx+EpZ4mX882oWP2Ho03YOnQJ0Vdb7sS1FzUaHiNRHztK+Mv4hZ1e7PeQGp2bZ+2KsUeYXPq6N0I7BxZozKeHPfPgdNhysvpCIug0cO4WQM5ePju1IDWngNQwLTj/0rTeX6eNw7oVDShyhvPMdWg0cMLwkaxrd9TvPK0Ap61QkYjwJTrmEO1Zhd0Acrf6TCK1rul7OX9IuQ9cMBjETTfdhCNHjuCGG27Azp07U30KylmUl/2Gd9vw93dPEwWcjIrVHyr9DxQ4LFFftqZqrFth7MuWqI8drdQQNTN29HsRKL0ETa4PIttmCn9DTdmn0DkQ0O2Xa1/3WozmwMICUoDb716AH91z0aSdA6JjFmTGEakqwfADYIJdkGzpMVUmguJsX/JOD6BStrAlTRBi75YS1BrX/lA5eMkcccFwsaN4YWcLrrtsaZqvIjbKO2/jzhOoD7UT2wYQ1gSP9W5TIzpJAe7mCyRc+anVOTmfE611Td/L+UNaBDiPx4Of/vSnWLduHdasWTP2TpQxCfEiLJz+gXTaOFx/8QxsfDf6tT7HcdSwWP2lt12GKy5jE3q4tQ7VRuS6+S9TqBe9ncMrEBB/BRsbrqtZau7HlY2t6JmzHNtbuhISnnMF/RzQ+7+d5BdN7jlgCjuzcyO7I11m9z6EsijAAQBELxE0IMMEwTUvzg6pQa3hkcCiK1iN6fYzkb5Tx/YCWRTggPA77+YLTOB2RsVZ0VKJ7953TdKCi6DRwLHeYzk7nxN5JwP0vZxPpFyAc7lceP3112E20wDXiZJoBKj6wWYg4r6GJ3TF6jeO3oLLzz7UiT7cY9VVzXXzX6ZQL3oByY6dwytwWdnWSF/Z8J9xyU23Tsrasuo5UGftQAk3HNnmF22ombMqW5eWMoSCJo0A14JQhXGOxExh9hyGSaVTF+0zALMrzh4Tx0jD06kR4EpwBsOeAMqK7Gm9lrFgvWQqG/GscJvss6XVwGU7UGMsxnonA/S9nE+kXMpiGAYMMzHXOpPJhAkeYkwYxkT8m2t4/TwefX4vOvqiDuRKBGjLyQF8846lcKoisi5ZXIMNO9tw3bRXMVOTz+iXbXdjZdMMsGxyf+u1Fzei5eQAcQ0KtRVh3znlmLl+P9OF0aK3ZfBSQoBbXrAdo4IXYOywWRN75HLlfqrngE77FpqPj6+Zk/S8ygbx7qdU1ASorHGcZ3/W/yaLl7zXUuGCtF+TnTWjwMFFIs4BfUmtWmsn3tzTgVvWhgWfbM1Pi0aAkwrmje/+uGZBhikiLLOBM2DhB1hHKi4zYRJ93q+9uBEfHu9H14BxIEN1mYN4L+crufL+TDc5qSYrK3PCZMrMjS8uNg4CyDavvHbQUHACgI4+L978oBN3XRPNY3THunnoPH0Yt1X8nhj71sAlGHBegofWzYPLYUnqGkoB/Oj+S/Di5mPYtPs0RjwhFLksWHvBdNy4Zo7h8XL1fqaTQqcFo95o7dN9o00Y4osj2ioH68dvnv8ZXu9aOeb905Lt+6meA+e2/5TYNnvpDbDWlmTnwsaJ4f2UVwIqecni2Y/S0vRqu8bkJFl71DLt/Ixc05UXNuDPW6JaKG0qkWpbF17b34W7bwxXscja/AyS98dWdT5s47o/LsA1A/BEkxSXmjuBksVx9kkfY93PUgA/+dJq/O4fH+H1XW0I8uFUIlaOxcdWNOBTV56b9Ht+KpPt92e6yUkBbmDAmxENXHGxE8PDXkhS9qLOYvH6rvih4K/vasN1F6kc4GUZ35j3W9gGg5Eur+hEW9X/w8MXLUEoEMJgIHaB9Xhcd1EDrruoASFBhOWsiUJ7vFy/n+lkVVM1NuyM/l4SWGwdvAQ3VL4S6VvheBOvYyVGPCH8ectxvHugS6dFVZNr9/O6ldNR/NZHQHR6IViwEt7B7NXHTIa491NqRImJhUkpo+U9haGedshcsf5AGaKg7wOoZ4bbPAd8Bu5184JKUoDTaeA6MOIJobd/FNPKC7M2P4sG9xN1ZEZMMyGO8/64bLNhUQlwns59CMmZTa6d7PN+4+qZuHH1TITO5pCM9V7OV3Lt/TkR4n245aQAJ8syxAzlNpUkGaKYWz9wiBcJM4YRbh+P518/imsvboTTxsHS8xLsg2SxemnB97CubjkApORvZE3MmMfJxfuZbq6+cDr2Hesn8qW9NbCaEODOL9qLQvMIRoVw0fuOPi9e3dE6ZhWGXLmfrPcYmGBPpC0zDgRdS4AcuLZkML6fNvD2ObD4Por0/Pzp51E+68rsVByRZbBuMto35JgPKQP3utBphctuhscfDhDQauBqbF0ocJhhPvuFnZX5KfFg/K1EF2+fA3mc1yE4ZsOC6LvT5D4KcVp25nWy95M1hX+HXHhH5CK58v5MF7QWag6SSJUFIFoQ3ecZgOujh4htfPFKBGrvTNclUlQYFcruNZ2L04H6yBjWJOGSkm3EfpMpXxM3tJ1o88UXAkzuRtAmgzfAY29vLdFXzRzNWsURJtgBRogGi8isE5K9MWPnb1ZVexjkS+AXbZG2g/XjioXZNdGx/laYZHUEahVkc+G4j6fNBcf6s1syjEJJFCrA5ShjVVlQ6Oj3YnTXQ2BD3ZE+2cTBfd56wER/3kyhLZT9w/9zMbb0X0qMuVQV2ADkfhktNToBrmTyR58qbNjZhgNDZBb/mfZTALJTccTsJst5Ca55GX2WyQThJl2B+KvmZTeZL+sl/d+0kaTJIjpmkMf3tU7oeBRKpqArfI4Sr8qCmnOdRzBffJHo8zU+ANE1N12XRhkDzszCwrHY7SNzIJ7rPIZaa7RUz6TJ1yTL4AZJ7WGotDlLF5N6trV04ZSfXMRnOk5F/p9pTalOgCtoyuj5tRplbUktp5DdUk2s7xjRFp3nTOh4HqaebA8cxZ+2HM961YlkCfGT42OQkjqoAJejKC/RK5fXxRzDQsC9039J5HzrDFTjno0XTcoX0FRj3rxFaFEVegeAS8veivx/suRrYr0fkRpexgGh8PwsXlHqUNLAnPSRAly9/QzMpvDzk2lNqVnj/yYULIwxMn0oGuVHvrACttJziW3HDr8PbwIVAdIF69UIcI7xBxx4Azwe+XMvRDm6FJaYh7B599GsmM+TxRvg8actx/HAY9tw94+34oHHttF3fx6RdgFu8+bN+OMf/5ju00xJnDYOt6w5J6Y/3PWVr2CGJufbE6fvxqCXyZr/DiXKupUN+DD4MaLvstKtAOScL6OlxjLwJtEOla4CmKmRqiCSBFssQE+wItJvNolosIUTpmZKU6osxkPt7xH9bst5aT93rOt59Lm9eKeVtAT4Bo7gu8/ugceXnWhHs04DN34T6oadbTjTH0RfqILor7T0ZMV8njCyhODQMfzPH17G5t1HI0FvSq5Q+u7PD6gGbhJg5A9XZenCrTV/IPq2DKzGPne0OHdOv4DyAKeNw+pr74MAa6Sv0tqLzywfzLki2fHgBrYQbb70sixdSXpQni+9GTWcWiITmlJFWHpr9xFUWToj/ZJswqOvBrOyGCsl4rQ+cDW2LnT0efHi5mMx9kwvWg2cthxWMihVVLqCVUR/tTWscc7JQCOJR+GHt6Du/aX4du1n8cLiW/G1GT+IaIwB+u7PF6gANwnQ+8PJuK/hCViZ6BewW3DhN+2f0e2bky+gPMLhKoNQ+XGi7+qq7ZNCeAvxIiAFYRl6h+wvm1r1jZXn64RvJtE/03EqY5pSRVhqsJOLbmewBqf6pKwsxhHhRuMDV23tAiBj0+74JZ3SgSk0AIYfiLRlxgrJPj3OHrFRV1HpCVYS26qs4ZQ5uRhoZD/zJKz9f4+0WZOEVaU78E+VLxHj6Lt/6kMFuBwnxIs6p+Iry9/AokLS0fnp9rswIugTj+biCyjfCFbfTLStPX8FpGCM0dlF61Pzq6efgkmKlu0RrdUQnVMrQEZ5vkrqLyT6l1Z24sFbFqVd2PYGeGzaE67lpWj9FBTfvEwvxmrhZkjQpxIpMo9gxBOKJJLNFNpapaJjFmAan3lbna6pW6OBqzyrgcu1QCNT10WC6wAAIABJREFUqA+Ok48abruh8hXYmeizSt/9U5+cTOSb78QrYn/zCgfsb/2WGP/B6CJsGrjc8Fi59gLKR0JlayFxZRHNASMMg+neCKnmhixfGYlixlMnJD7XsocYcyy0DLagMCk0iMngtHG4cOWVgCpbSrFwBF98fDtcDmvk+Uv13+0N8Pjes3vAC+GSSDPsp4jtp84KcMpinKlnOeIb6OcBmNAVrCJqLNdYuwDbNFjMbEYTpeoDGCaWQkQpDh/LhJprgUbO498BI4wabis0u3HNtL/hT903AaDv/nyAauCyiFHYt7KIbtx12sAxdQ+sBx6Ag41+ZflFGx5vuweAce3YXHsB5SUMh2DVJ4iuo9t/kXMRY4oZT82Swg+J9msnZ09ZB2nJVgfRHK3tamf9qLZ2pdUxfMPONnSqCpNrg5JO+RsBZGcxVvvedgX1ZtS1F4zPdDkRtAEMwgRzwCnmcyMTai4FGoV4ESZ+CLbO54h+r+gg2v9U+TKsTAAAfffnA1SAyzBjhX0bLaIKM8V/wDX0D6Lv2Y7b0RuqNByfSy+gfGeolBTglhXtgRwczKmIsW0aM10BO4pZDjIr/b7RRVPXQdpkQqdICgSzVCbNdPzd6nvOQESjxgdOMaFmYzFW+95qa6KeUzqAG9dMTHgaD6nWwCnm8wVNy4j+alsvHr5tcVY1zdq14nfPPUFUoOBtDfhW5zPwCFEhrsDswaKCFuLdT/PDTV2oAJdB4mvXwou4dhFVKDSP4Iv1vyb6Dnnm4m99V+vGWswMrl4xfVJFOk51XjpQjg7VIsgxAlaVhIMDckEgUvs8KTQV7CdyDJ7yNWL4rJ/lVHWQ/rCPTOo6x0kKDKn8u7X3vMbWSQQmDfFFGBJKUFPmyMqHmNr3dkgmS41dNtsHlyPzqWRYX2qrMADhv/P6y5ZA4qLaVxY8Ckx9Ez72eDFaKxbYdxFj+MobcN+ta3DSci3Rf/05p3D/jQuxYWcbzQ83xaECXAaJp13r6Pfi1R2ndIuowufrfoMiLur7wMscft52LySQZpWaMgd+fN/FuOnS2VR4yyG27e/GW4Orib7LVKW1si0QGdXfXawxn34wujjy/6noIB3iRRwcISNR5zhIp3m3j8ewJ5CS82nv+Qx7K7G91d8Ii5nF1+9YmrVnWUno+8lrryL6LcHWzF+MJID1kT6CE9XAEcfS1JvNZkkt7VrBQMTSwr3EmFD5x+C0cWhYSPrSzrV9iMde3B9XUUCZGlABLoPE0q4p7DzQY5i0d3nRe7i07G2iz9P4EBYuvjhSPL3AweHqFdOz+rKnGKNoWrYMkALcPNdhVFnCcyIXBCIy36Cs83/7cDSaY3AqOkhbOBYdEpk0d5bjJBiQv8uP/7AvZYug+p6ry3cBYfPp5cvqcuJ5Fh2ziDbjOwHImQteAJQi9tH7LlmmQeaKUnZ80U7mAWT8rSk7drJo14o5zuPEB7xXdIIvDkdN8yUXQ1Yt5RbfYXiHO2BELmj7KamDCnAZwshEpcXt43HRAjIaqpAdxX0NTxB9fEEThNkPEsXT19/fTLVuOYqiaekJVeGQhxQQ1pZvBpAbApHa56na2oVKa9SEFJI4HPTMi7SnqoP0eXMXYYQvjLTtbAB1tnZiTCoXQfU910agDrPn5YwPq2StgszYI21GGAWC/Rm9Bm0N1Ikk8DVCm0+ODWQ+zx1gvFYsK3qfaO8ZWQJeCi/fMlcMoXAxsX1hAZlmSk22tf2U1EEFuAxhZKLSUuDgcO3FjUTS3runP4kSbjjSlk1meOb9AmCix8r2wk8ZG0XT8mY/mQT38rLNYCASAlG2nI4Vn6e1y+pwvkb7dtAzDyE5XFGiOks+WZlg3UWNOCOQtT/nOI/rxqVqEVT7mc10thLbrvrYNbnzQWYyQXSQ5mW49fclnegCGCZYxF6LaCP9H5lAe4yR6cVordBqww/4LyTe+3wpqd1vKmiJefxc0PZTUgMV4DKIUUksNRfOq8SGnW0Y8YaTvDaXbEdzKZkF393wrxAKFxntTskgyQpZiqZl29AqBMRoaa1yywAurzuCSxfXEBFn9/30bfz2tYMZLxrutHHgWAYXaL741f5v82eUgmOn5qvDaeNQPecSou8ch75kVCoXQaeNwydXFqDEPBTpkxkrLCXZqYEaC60ZFe7MltLSauBSEcCgRtIIcGzgTEqPnwzqtcJs4jFTo521N5A1lkMaAW5RYWwBLhe0/ZTUQBP5ZpB1KxvQcmLAMJChutSBg6cG0XU2J1SJeRB3T3+SGHPSPxsP/nkpHI5taUssSolNvATLY/0OiqZlw7tt2NXXjNXFmyLb7pq7Aw+9eAExL9w+Hn/echzvHujCw7dlNpr4vf0n8flzyQVg90g0zcKb77dj0/vtSf39kwlz+XJApXwx0sClehE0u0mTl+CaBzC59XrWaeA8xwF98Ze04A3w4DtaYFf1bT3uxPxKPmVzT9SaUP3ZMaEC5FrRYG8Dx0TThwwKFbiseSkxni9eAdnERXwEq609KGBH4RYLoWWquj/kI1PzMzpH0ZbEAqLBB/NnlEaEN6XWaaHZHdmXl8z48cn7IcJMI4qyQCIpYMZCiehrWvuvZP/Q3+EeMjbJdfRl1uk4xIuYze0hFoyuYCXaA3WRtuK6PlXnIV9ILo6N9laiUDiQ+kXQ7DlAtIWCppQePxWI9uyYUJVnz86TZcZebrGkdO5JtjqizQQ6AFlKybGTRb1WLCwmtW/Wygv1QivrgOgkTf/auroAzQ061aACXIZRFnFt8MG7h3oiYy4v24zlxaQJ69nO23A6QH4h0oiizDFWCphkfgeheAUElTmKhYBLy96KOT4TTseKSdjCsbiojExXsHv4AsSq9AFMvXkoW6dBsEYXc44RiBQf6VgEzaP7iLbgWpDS46cCrQlVGs2MCXXDzjYMD/WghBuJ9PGSGT3BaSmde7K5EKI5GtVqkkP41i9fyVr+NGWtuHWpm+iXS5YajhcK5hPtdeeN6hQFNDfo1CK3dPR5hmKCUUcdVXB9+EL9U8S4Q565eLnnOsNjbG/pwk2Xzk7vhVLGTAGTzO/gDQo4HliHlfh5pG9t2Zt4pfdaGAlK6aqDaWgSXlCJO0vI+qdq82kspto8FIuWwtwbtaPOcR5DN+ZhVVM11q1IvcnYPPoB0c5FP1etCdXXdwj3/XQrVi2sSasZfVtLF+psZFqMrmB1JAdmquaeN8Aj4CtDvSUqKDrELmzcVYiWEwNZE364UfKDSihcYjguLPS/EGmfX9mD9Zc3Z7SGLiWzUA1cDqBEHTEQ8eUZP4OD9Ue2BUQrftb6gC5hrwKNKEo/iaaASeR3UMxBv/xgCUQ5+vjNcLRhtqZslUI6nI6H3AFDk/DxA5vhQjQ9hE+04YBnfqzDRJhq85AvPJ9of3q5Jy2perwBHq9s3guzP2oelMBglMutAAYAcMvlCEnR6gsusw9Iczk45dmrtZICXHsgWhkiVXNvw842dPjKib4KSziVTta0zKIPrPcw0RVbgCOf0/bjO/HAY9vw0rZTU8rFgRKFCnA5QnNTNf656q9YWHCQ6P+fjk/rCkmroRFF6SfRFDCJ/A6KKXZIKMWeEVJIuLL8DcN9UuVvpa6t+JVf7DA0CV9U8i7R3u9dCkHm4hhQw0y1eSgUkb+Nxf1BjJHjRxHmTx3eSvS3+erxvd9/lHOL7oZ3z6AzSOaprLGFNdPpEnCUZ69Wo4HrUAlwqZp721q60BeqIPqmWXoj/89G/jSzez9MclQ4Fe0zIKtKfqlxWzQ+cLbT8PiCU9JPlRKGCnA5wg0LBnB7ze+Jvg9GF2Fj31Ux9ghDI4oyw1gpYBL9HdSm2Df61xLbLi3dCgdDClW1FanxtzIKwtAj46LinUTPeRd9Fk9+dTWuunB6jH3CTLV5KBSQiVFZ7xFA8BB9E83Xpwjz2nJdx32zc9KvcFtLF7oC5O9cbY3O53QJOM1N1ToTakcwWlc4FXNP0fTpBbhoMutsaJm15lM+hvYNAF59P4BRoSDStrFBVFnDvtW5OJ8oE4cKcLmA4MG0I18Ea4q+HEaFAvy65yu4fNl0VJc5DHejEUWZQ50xX0uiv4PWFLt7ZBkGQqWRtp0N4PKyLQDCWoVPXDYb30xRabR4QRgKjfa2iEYFAGSTBaGKj4Ezsyn5+ycTMldEZPo3QQLn3kdoMSdaJFwR5mc7tQJcOFgglzLmK3O3MxhbgEuXgLNuZQManN1EnxIVnaq5p2j6eoOxBbhsaJlZbXoZjWlfzbb93TjlayT6GlXBN7k0nyipgQYxZIEQL8LCRV8EriMPET4wAMAv+RW+ffW1AM46m7/bhu0tKmfzNDlTU4xR53Eb7++gLBKKECfCjI19H8PttVHN6zWVG3HNnd+HzWZBaakLg4MeiOLEak6GeHHMIAwAWKnRvoXKLoNsDueRSsXfP9kQis6HWZU8VhrYjUffMuvy9W3cdTppJ3e1MK/VwB3zzokcO1cc0JW5q3XnqFEJcOkScJxWBuXWzmj+GgAjpgZcvWJ6Sudec1M1ju8nBbhylQCXDS2z2fsR0dZGmioo86nV34BFhVGhr9Heip3DKwHk1nyipAYqwGWISMRfSxfc/mgS2OsadqOi8zli7AHTTXAVXwVF36GEk9906Wz6AGaRVPwOzU3V2LgrmiD0H/1X4ubqP0XyrtVYOzA8+jYk29pYh0gIbYRpIlxUohHgppGRz/k2D4XC84GuaFTfQOt2dPQb52dTTFSJRkMqAhHL92GaquYsL5lxyt8IIPf8CpubqtFxSKOBU2ls0yXgMP42mORQpC1y5XjkvnUpP8+6lQ34xalGok/5bTKtZfYGeGzY0Yq7Qgeh+taH2zwLNuiVAMp8aj07dxQaVbngcm0+USYONaGmAa1vTN+wD19/8t2w/5E/GvH3/t49KDn6IDH2tL8O/7HnxphOp/QBzA3G+ztoTZHDQgl2nP1CVrCf+fWEri0xfzeSBlsrGu1RwVIGi2BF7EUyH+ahNhK1OPhhjJFhkjVRNTdVY7ZG+9bmnw5BDmuUcs2vcN3KBkiaXHDV1rBpM50CjllTA1VKcQktBaeNw72fWgMB0UhbJ+uDk/VgxBvChp1tGQkEUJ7f9z74gMhI4BUdeOh/2nD/er353hvgUVFsQ5uf9FVV+w7m2nyiTByqgUsBIV4EL0p49Z1W7DzYTZRZunRJDb7zzB5dGgoGIh6c8VM42ag5hpfM+OGpryAoW5P+oqdMDoxMkZtHr8Pq0m2RMZa+jfD72oDSsdN3GJGIv5uWS8veJtp82aWQLWXjOv9UQShYBNlkiWh/Kiy9KOUGMMgb35dkTVTrVjbgQD/pWH7cF37ec9Gv0Gnj8MVbroSw3QIzwvek0OzGDRcW4fKVTWkzo2troAopLmKvxmm3QLbXA/5oSp8KSx9a/a5xmcrHg/L8Likka7Ge8dfDExABhBUEivn+w2P9gAnoGvDBydYQ+1RZu2GChJrygpybT5SJQwW4caKYqLa1dMLjF3TblYdrW0uXYQ6x22t+hwUFh4i+ZzruRKt/RqQ91ZKjUsLoTJHsZeB3PQfOHc7Gb4IM65mngLqfEvtpzSaxSMTfTU1duR3X1e8CVNP0qZbFwMjxKVfnNClYG4TCJeBGdkW65rkOY/vQKsPhyZqonDYOlzeeAYajfW38vJT7dqUSp90K2TET8EV9s/75fBlCGq+V9ZJaStGRHg2cQnegHPWICnDTLH2R93ImPqyV53e6jRTgTgfqjIaja9AX+b9XdGFUKIiUYbQwPJbUhfCZG2kFhqkIFeDGgaLiTkTLYSS8LS18HzdV/5no2zuyGK/0XkP0jfVFn+iCTsldlN82UP8FcIfujfRb258BhEfg9fN49Z1WslpCnALyiSQdVogEIcw6DctHUVNLULLgrd5l8HdnRuOQy/AlKxMW4JI2UckirG6y6sVNN94B0Zl7H21qn8r7qwuxQlXEnvWdhFA0drWO8cL6jhJtMU0mVIVjg0WoV6Vaq1AFMgDp/bBWP7/1Nr0GLhG6glVEHW0ucDJvn9+pDhXgxsF4TFQKFVwfHpyxnugbCJXiJ61fgqxxSWRMQEiQCAHOsPxRnAWdkvt4Azz+cmQJbhUKUHD2xcvwQxjc9yt8942F6OhLPOpRG+lqRIGDw4/uuSgyr3o3/RexfdfwcvglO4DMaBxyGb5oBdFeVHQEOKMfNx6TJ+s5DEaMLrQSVwLRkXv3WfvBqs0FJ44eA9LoXsVqfODSeY9CvIhOXxmgEuCmaQS4dEZzqp/fertGgAskKMAFqnGuM3rPitCeF0FH+QgNYhgHyZqoFMwmHg/N/BHxdSTKDH5w6isYEYp14yUZRPJFI+d0ZUGnmbYnJ8pv+tp7vfiHJrFvYN8P0NU3arhfvMSciSQdjrzMBQ9mCBuJ7W8NXkK08zl/FF98IdGut57EdReWpqRIODfyHnmuogsB01g1LzKP9oNVmwuu98x+7S4pwySMgg31RNqyiYNob0zb+Swci1GNNKquxgCkP5oz/PzKBibURDVw5PU3OHuo8DZFoQJckiRjotLy6dpnMdd1hOh7tuN2HIpTa1K9eMbT/NFM25MPb4DHT174MPKbvtp7DXgpqhSvsXXrUnuoiSVYJZN019z5IhHpNsiXYK+mxNdUq3OaDLKlDIIzWqLIBAk3NQ1g/f3NePKrqydUH5Ub3kW0tcJirqD9YNUKcIzPuIZvKtBr32YATHotDTX1c4l2hZXUwKU7mnPdygacVxmEyxx91/tFG/pD5XH2itKlKXc2v2IopddHyR2oAJckidTF1OKyc1hR/C5uqHyF6N/rvgB/6bkh7r7qxXMszV8+a0omG5E6mF1RbewgX4Ytg6uJcTdW/QVEBlMVsQQrJdL16hXTx9QUubqeIfbd1L8GosazIt/zR/HFZJoXbmhH+N8J3hOzRoATinJPgDP6YNVqeCq5zrQJ+KxX4/+W5gAGAFi2lPTnU5tQMxEd7LRxePAqco1pD9TpXGwUqksdRLUe7e9T7+jR7kKZIlAfuHGgTcYaD5edQyXXjgcaHiP63ahC+RW/g/PM0TH9lTgzm5Dmj2banjzE0qb+tfufsLZsMxhTWGib5TiJ5UW78d7Ict3YeIJVIkl3Wfd+cKOkE/3r/VfoxuV7/ii+eAXsHb+NtC1D2+GLOToxTKF+ovqKbGLBF8Uuk5QtjHwq+0PlCEkcLEy4r9DsRkgehQzjIusTQZtCJN0BDABgLWyADAYmSACAEm4YpU4ZFy5syFh0sFNoJdpnDCJQGROwZmkdrl8VjpBVUhNpNXBcoBWQ5Zw0z1MmBtXAjYN4JioFEwCnzQwxOIIH674Dlzn6yhdlFp5Fv4W9oDLhIumJaP7yXVMymYilTW0P1mHnMOk4f1vN7yKLiZpEBatYc8J++pdE+4PRRegJkS//XMxHlmn4UtIn0DyyW1fYPlm4oe1EW3A1AaxxzeNso31HyWDQHawk+lgfWQowFYR4EeYMpxABADAcJCv5N//0sw3jNpWPB9Z3imi7KuYS2vQrl9dj/QPNuHXtOXDauMgH2/r7m/GDB66DxEaL2ptEL0wh0o+PMjWgAtw4UJuoXPawElP5tnHZww/X5Uvr4AuE8OCMn2G6vZ3Y/+n2T+Ovh6YBSM5fKVFhj5LbjKVN/X3nzUR7pqMVK4pJc5t2bmirf4wFE+yGTVUmCgB6Sm5PiXP+VMONSgwjmuHeJAvYtfXFCQUNWQa3Em2+tHncx0o3Ru8orZmOTZEfnDfA409bjuOBx8LVBnpOk9UvfrTBF6k+kE4kOxkwwAQMQo/TCOtvJdpz5y0l/C5vWTMn5nPJcWaIjpnk8dIgYFOyDzWhqkgmr5qRiUptqrp//TbcUv0CVhSTkWZbBlbjld5rUeDpinzRJVokfN3KBrScGDA0vVFNyeRhrFQfbYFGbBu8GM2l70T67qx9Du8NXwCHwx6ZGwDwpy3HIyllXHYzmptqIill4s1n++lfwSRHzy/aZ2Dpxf+CpWtYaoZXofgqXmefh3XTom4TfNcmfP3JWfj3Ty9FRXHymjNuUFP5QqPlyyWM3lH9Yh2A3ZExqRDgtOlKGIiotHQSY44NV2JvBioiiLY6qI/MBs4gkzH+rJ/UwIn2sJk00edSdMyMJAYPH+8khJKVcfagTEbyXoBLNlGqEcpDpfwb4kUssGzDrTWkhuO4dyYeb7sHgInwV0u0SHgywh4ltxnLj/L3Xbfg4pIdEV+4OlsH7l+yCzNXPwynjTNMJu3xC9i46zQ27WmHxczAGxAM57NJGIWt/WnifL6G+wATOY8pUV/FfcVNWDft75H+RQUteLqdx3ee2YPvfXFFUs8eE+iEWeXbJZvMukCJXEP7jirqbQMO/jWyXeurNh60fqEVln5YmWgR+1GhAG6xEED68xNKNrKmKONPzOc5JciyTgOn1aiNhWTXauDSFylMyR55bUL1+EL47rN7EsqrloyJyh48qkvWO8wX4ZETX0dItgKI7a821uKp9nWYaBoDSvaIZzp32szoCNZj08DlRP8y6Vd47Hdb0TfsI9KPaOEFCd5AuLyb0Xy2tz4GRojWb5K4UgRqbkvFnzXlUHwVW9wLIclRJ/CZjlYUmYfh8fNJp+/hhkjtm1C4FLK5IMbo3IMzsxA19Ui16T7Gg9YvtFZViB0A2gO1RDudUfeijTShsoH2GCNTjynUC5MYfbYl1gWZS64usWgnrTFshk3AlMyQ1xq4FzcfI7Lcq+no9+Ll7afAmEy6AvXxtHMmfgiFH34KZlVuLUFm8ejJh9DHV0T6UuGvRjUlk5d42lSel7BpTzue7bgNzSXbYWcDAMLRflfYnsR3nrEmnYtQ0Vh8cmUhHKd/QWzz19+dsw702UTtq+gRC3DSNwOznVFfokUFLXh76BJs35dcaSWt/1soh82nsdAKcGbvMUCWANP4dAJGfqFjCXDpjLrPpg+c1nwq2WckHUEq2sioVcafOQGUkjnyWgP3xnvx1eKb3m/H67vPJF71QAqhcN/tRHoAAPj1mc/hoCpZL/VXowCxtanvHgrnbRoWSvBi9yeIfa6u+Aca2Q/Gdb7tLV1wnvo++XXPlcPfcG+cvfIXC8fCaYt+437oXkxsX14c9gFz+5NIdCzL4HQBDKtjDM5dZEsFwBVF2ibJBybYGWeP+BhF2ddZSQGuQyPApTPqXtSYUDOpwdIGHIiOGUkfQ7Jn7/opmSNvBbgQL2LUGxp7oAGGVQ9kGQWH7oNlaBvR/Xr/WmzouxpAOG/P2mV1NLKPokPtP6nWRPy153q0B2qIsf+34RewMoGkz1GFQ7Cd+Q3R55350KQy32WaSxZF7/17wxcQ25YW7oHZxCclSLCeA4Q5TmZs8DqWpuZiM4Q3wOOFLSdwfJRMJcIPHZ7QcbVR9loNnFaAS2fUvU6DFegA5MxUI4kVwJAMoo28V0wwc9dPyRx5K8BZOBaFTsu499f6XzhOPgpb1x+IvkOeufjl6S9CSTIiyQBnZqjwRomJVhPByxY83kZqyGpsXbh3+i8Rq0KDEWYTjy/PeJzIJyfaGxGo++yEr3kqs25lQ+T3OOI9B8N8VOvkMvsw33UoIUFC8aG19v6N6N870oS7f7YLDzy2LSPpMSaKEjyzYWcb2nykkPDW25sndP1av9C6OAJc2q0YZhckLpqY2CTzYILpy6Wm9rHW5oAbjwYOrBOSym/OJItggrRSz1QjbwU4ALhi+fSxB8VAXcbI2vk8nCe/R2zvDFTju8e/AUEmhTVa7ooyFlpNxEHPfGzovYrou6xsK9ZVkEXo43FHzfOot5FaY/fcnwDM+D9i8gGnjcO/f3opXHYOEli8N0KWWVpT9UFMQUKb0+yBx7bBe/IvxJh3BsJavTHdM3IEdaRoh0Yz7BROTageszq/ZqUriDLLYGSbIJvRFazKaH5CbSBDqv3g1PPj8z94C7d/ayNe2Hwc8GpMqOPQwAF6MzCTwUAMSmbIawHuxjVzUFsRv6JCLBSzCTf4NgoO3U9sGxUK8B/H/x2jZ0Pe1RjVr0w2CStlarNuZYNuXj7dcRdO+8kF5Qv1T+Hi4ncwFpeXvYl/rnqJ6AtU3wq+fO3ELzYPqCh24HtfXIGrV0zHfh+Z7uOSivfhtOpjwRRNlTrC3cp3Yho+ioyRZBN2j5BmWUP3jBxCHSnarinvVGfrmPAHquIX+sPbS8kNrjl44quXZzTqXtKYUVMZiWo0P0Y8IWzY2YbQsLb6xPgEOMmuuf5MpkKZAHQ9TJy8jkJ1OSz45h1L8eqO1kgkoAmJGaZWNVWD9XyEwn23EQlRQxKH/zr+DXQFawz3UwQ/b4DHhp1tE8o/R5maOG0cvnnHUrz5QSde39UGt4+HxVaA7QU/w83SnWClsAaENUn46syfwNIawpbBywyPtbpk61lzaxTRUgXPuY+k/e+YSiiCBZrvg/TWj8FI4Shzc7Ad5pHdEIrJWrVGtW6VoAeFI95zMCwU6861vSW5qNZMofXP1Pqk1dk6UhYZavYeIdqi89yMR91rBbhUarBi1UK2M34UstEUP7LJDMmqr4OaCHoNYu5q4Oh6OD7yWoADAKedTFD50rZTYxaqry134qqFMor2/hMYYYTYtsX8HRz2zo2576qmasMkrIoJJd0ZximTA6edw13XzMd1FzUgEBQii5en99co3Hd7xJfNbBLx4Iz1aCrYj991fiqSqqaAHcXN1X/C9ZWvEscNShZ858jXUCMNYt3KAjrPkoV1gC+/AtbeVyJdts7n4dEIcEa1bptLSG3pruELDU+RzvQYE0FbQaQzWA1RZsCawnOxwtKPcmdqrpv1fES0Bde5Ez5msuhzwaVOgxWrFnKltZtodwem4a9bW8clyOg1iLkZiUrXw/GT1yZULZyZjZtg1QSgocoFBHpg3XEt2CDpZOuZ/W2ce/Hnx6xtGuvrC8h9Ewol8ygTtZmMAAAgAElEQVQLojfA4/mDc/FEx5eJpLIAsLZ8M3698ItYf96X8JO5X8UzTZ/VCW8A8LPW+7FvcMak8LfKVbRJj609fwZEX6Q95AnocprVWDuwoOAg0bczhgCXzvQYE0XtnynIHHqC04jtVy8IR0dP1Axm9pICnOiM/VGcLtKlgYtXC7laI8B1BirH/azqfeByU4Cj6+H4oQKcBrUjrbqw92Xn16KqzIH+vm48VP9vqLWROY/cVXfB3/ilmPurHW9jfX0p0EAHiha1z8zfu5vxk9YvISiRAQisScJMRyvmOI+DYwRiGy+Z8aNTX8b2oVWRPu3LkfqeJEaobC0kSzQpNyOMwtobFpa9AR4/+cM+3T5XlG8i2oc856EzWKsbB6Q3PcZE0X7gav3gigQyaGO8kbWs9yjRFrIgwOlTiaRGgDPKeadQpRHgeoLhVC3jEWR0Gjh/bgpwdD0cP3lvQjXCqDbpn7Ycx+DQIP5zzn9hpqOVGP/24CocNN+LG89my45X2zTe15dCrppQKNlD+5W6dXA12vwN+NrMH6DOFj+B6kCoFN8/+a847D1Pt23bvk5ABvU9SQaGQ6D6Fjjafh7psnU8g2D1zYbaBBYCLi/bTPT9o+8Kw0PnepJv5QP177tOY/v+LrT5G7C8+P3Idnf3Prh9i8L/H68ZTPAQ5koZDERn5n0CtfVQUykAxaqFrNXAdQWrIv9P1jdStBto4GQ56aoOaUOWIQ/uxhzuPbT4F0KMIY7Q9TA2VAM3Bsqk2dFyGl+f+X3Mc5Gq/fdHzsdPWx/Atv3GOYK0ky7e15dCLptQKNnB6Cu11d+I/3toPX7eei/ag/W67aKlGk+334UvHvilofAGAB6/kFAtYApJoOZ2om0Z2g5uaIfh77Sy5F2UcFFfWa/owDvDFxFjXPbMpceYKE4bh0+umY3nvn01rlh7JbGtwaYXSpLVHpk12reOQBUeePy9jOfJk6yVkE3R34IRhvDQz19PyXXEctXRauC6VQKcUQaDeMhcGWTGHmkzogcmVQ3krCJ6UbD/s5i2dy3+c8638c3Z3wMD47+NroexoQJcAoSCAdxd/QMsLSJLGB10n4dHT3wNgswl9XBp83xpyWUTCiXzxNPaCjKH1weuwP858Bi6LzqM4WUbMXz+SxhoPoTBSz7CG6M3IShbkz4n9T2Jj+g6D6ESsoap/fh3db8TCwG31/yO6Ns6cAmCko3oK3RwWLdi8mk9TUULiPZ0u7GjfzJmMGGY9BVsD9Rl5cPCGxTRHyKLyNvErpRch9rVRq0Pi6eBS1qQMZnSZgaeCCZhFMW7PwZbz58jfRcU7cG10/5mOJ6uh7GhAtxYSDzKP/o8VpXsILpP+GbgOye+GVkck3m44gVK5LoJhZJ5EtPaWsA6a8GXXAy+bE3Y/8VkGvNjIR7U9yQ+vlnfINrW4W1YUX6A6Luq4h+Ev6woM3i17+O6Y3UO+CalwCw6z4GsWkYqrb2wMX7duGQ+cM8cI9OtqPMfZvLDYsPONnQHSAFumqUvZdehuNpcdWHY1MlCQMXZ4yt0h6IC3HgEGcmujaTNvgDnOPEoOHeLrv+O2udQbSXdQeh6GJ+8FuCCYzltSyEUtnwa1t6Xie72QA2+dexb8IquSF8yD1cigQ4UioI3wKOi2BZ3jNH88wZ48IIEZpwuL8mabPINvuQihErJ/HsPNKxHsXkIAFBp6catNWR5vTf616I9oDd3A5NUYGZtEB0zia56m95XLJkPXNMoKQSf0dyvTN2nbS1d6AtVEH1qAStV16Ek7p5m7YukZAGAQb4koqkdryAjWsl8pEwgvr9s2pFF2Lr/aLjJyoTw2brfRtoWM0PXwzHIuyCGhBMGSkEU7rsT1n6yXFFXsBL/7+i3MaJKwDmehyteoAOFouD163MkaTGaf0a5lZKF+p6MjXfWN2EZ3BJpu9CHH8/7Jrb0X4wryjeh0OyObPOLNjzf+amYx5qsztqi6zyYfdHqAdPtZ3DMdw4xJtEP3BAvos5K1gJt9TcS7UzcJ8VtQS/A9af8OpTE3Yd3nwSi2WjQHayCy86heVH1uM3rkpW870wwuwIcN7QDTCh2TdmlhXthNQURlK0ICRIs5rzWMY1JXt0do/Ilhr4VYgCF+27TCW+8bSbecP4PAlz4qyZVWrPJ9sKmZI7X4uRIAoCZNYWG8y9ebqVEob4nYyMUL4ev4QGibxrXiZur/4RSbojo/0vvjRgWShCLySowC04yQKbBTpoWk/nAtWIEFZaBSJuXzGjXVHzIxH1S3Bb6QuVEv1oDl8rrcNo5XDmf1HY3zl6Exx6YWOkwSauBy3JBe2vPX4n2loHV6D6bKgUAOEbAea7DACbv85BJ8koDl0jCwJuaa1C073ZYBsi8TYJjNkaXvoarbTW4+jJMyi9lyuRj2774X8x9w37Dl/tYuZXGgvqeJE571cOwn96FevndmGMC1bdghP0S0BnbB2myCsyiixTgZjrDf2OBg8OqpuS0R2Y3aT5tD9RBkMl9M3Wfmpuq0X2YTFSsFuBSfh3uE0RT1pimx4NkIwU4NpsaOFmEpYd0R9o2dDFCkgVVFW9E+hYVtuBD9+JJ+zxkkrwS4MZa1D44cBSfd94Dbph8EQvOczCy9DVI1iqEeBEWjqXCGyXtBHkxoimOhZEZJ5Fcg7EwAbhqxfRJGRGZSRRXjG0tnfD4BbjYe/HwTC8WFe7Xjy2/Af/b+yC27e82OFKYySwwC655RHtBWTee/Orqcb0jzR5SgDulMZ9m8j6tW9mA37aR/neKCTUt1+EhBbjxFrFXozOhBrKngRN73gbLRwVgr+jAB6NLYGOC+JhagCtomdTPQyZJiwDX2dmJH/7wh9i5cyd4nseKFSvw8MMPo77e2Hk3E4y1qJVyA/jm9G+DGybD4AXnXHQt+Ate3eHB9v3baLJTSsawciwKHFxcIc7IzKCtWZkMV62YnpOF1HMJI/9Cj1iAfzv2nzi/8APcUPkyyrgBfOSdi0D5x7Fhz3x09BtrPibq45QLiI5ZkE0cTHJ4vrHBTlikYcgoG2NPPaxGA9clhLVQ49HmTRSnjcNnbroCUCUgKLcMYN2Ftbh65czUX4dWgLM3TviQuiCGLJpQTx/ciCpVe9fwcggyhxb3QmLcbOcJfOPymbBP0uchk6RcgBseHsadd94Jj8eDO++8ExaLBU8//TRuu+02vPTSSygtLU31KRMi3qJWY+3Af875D1RayRBuwbUAnfNfxCN/PEML7VKyQvOiGmzYGTtdQSwzQ6xM7/GgX72JEdsVw4S9o+dj7+j5kR5LB4OQ4DMYG6Z5UfXkF5gZCwTXPHDuaAkxs3sf+LI1SR9Ka0L9+NXX4bKi8WnzUoHDWQKJKwHDh/0ZzSYBn1xZACnV73xZBjwniS5tdO+4DmspJ4RrRhgO1+1lHRM+drKwI3uBgmh7vzucQ3BEKMYpXwNmOMLvORNkFPnfRajg2oxf42Qj5UEMv/3tb9He3o6nnnoK99xzD/7lX/4FTz/9NPr6+vDUU0+l+nRJYZQTa57rIH4492Gd8HbYNx+/9f8Cf93loYV2KVnjmnHmDIyXa7C61IG1y+poCptxkox/YUiQ4m6flKlDDBAKFhFt86i+HuyYSALM3sOa4y7MuruKaCMtR+koCm8K9QJCdJ2RWBdkrjzOHokemIFkrSK62CykEgmFBMywHSP6jvuiHy4t7iZiGzf4dkaua7KTcg3ca6+9hsWLF2PBgmiG7rlz52L58uV47bXX8NBDD6X6lAmzbmUDWk4MRASy1aVb8UDDz3WFv3cNX4AfnPwqQvIQGNOQ0aEiJFufjkJJBqc9nDNww7tt2N6iSn0zhjlJyTUYb79b155Dg3GSZCL+hUZM1tQhWoTCJkAlF5jdyQtwrO84TFIw0pYs0yBbKuLskRkkWx2gSjzLBtoh4MKUnoP1kdo3yT4jZTVLJWsVWJXQyQS7M15b1ib1ElHZQclCJGg+4J6P6ytfjbS1mliKMSkV4EZGRnDmzBlceumlum0LFy7Eu+++i97eXkybNk2/cwZQL2oVnT/BTRXP6cZs6l+Dn7fdCwnhF6okxz/mVHkBU3KX8eYMTGQ/Om+TI1n/Qs7MgI+jhZsqqRL0GrgPkz6G2U0GgAgFC2KMzCxSBspRMT4y910qAhgU9KlEMq+BM4+SZShP+mZE1lgAaPWTlgSzl6w5TjEmpQJcT08PAKCyslK3TRHaurq6xhTgTCYTmDRlqCt0WnBHUysKeL3w9nznp/CHrk8CSPzLp8DBwWbNq2BeQ5iz6f6Z8ab9pxDEup8sO765Nt79pgqpnJ+XLI7vl6hQW+HEvIYSvPF+7AX/kkU1YNnJ98xo72fIOQ8yGJgQFlbN/pNgZTdgLkz4mBb3XqItFjblxL2RHdOJtjnYnrLr8vp5vLazDdM63sInVMrGoKUhZeeQ7aQAZ+a7IGT4vlo8pACnNp8CQG9oGoKSBVYmBABg+AGYhX7I1vFpYPNlPUrpW93rDZsm7Xa7bpvS5/PFduhVKCtzwpQi9bEhXUeIJi+Zsb7t/2Lr4OqkD3XlhQ0oLXXp+oO8CCs3+b+sk6W42NjvijI+6P1MLam4n3esm4cDpwZxutttuL3QacGapXW4+YpzAQBH2kcMx06vKsDt6+bB5bBM+JqygccXwkvbW7Fp92mMeEL41YJa1FqjprpSHAdKL0n8gF5ykbfXroLd4N2acdxzANWSYRO7YEvBdXl8Ifz7b97D6W43HmwktWJ/28/i2mWW1MyNkkZA9b3hQD8cGbyvHl8IA607oNZjHvOSApwEFu2BOsxyRE3JJUwrUDoxTeRUf3+mVICTpPDXl5HwJcthWySTgGptYMCbNg0cADAFV6LI/ChMwggkSzkeOfqveH/w3KSPU1vhxOVLajA46AEQ/Zratq8z4nPUvKgG16xsgHOMYuSTHYYxobjYieFhL6Sx7M6UMaH3M7Wk+n4+fOsS/G1nG95WPesr51dClGS8d7gXL719Em++fwbNi2pw/z8vwJYPOomxlyyqwcdXNiAUCGEwEErBX5hZ/EEBjzy3lxBMj3pmEgKct30ngubzjXYn8Pp5bNhxHJ8Jvg+L6r3fKZwL29l3azZhxXIUqdrCaCtGU3BdL2w+Hrl/VVYyR+DBvhKMbDiET66ZuK+aRSqDWlwLDbfBk6H76vXz+O6z7+P71S2AagnUauAA4LS/nhDgvJ17EeQuGNd5p9L700hBpJBSAc7pDEu7fr9fty0QCAAAXK6xJX9ZliGmsYa2aJ+D4Us+QIl8HMPmRaiQOoCB+CkXZtYUom/Yr3MGt1nMEEXZMDeU2xdO9rnvWH/eRPhJkgxRnNwPTC5B72dqSdX9tFnM+MTqWfjE6lngBREhQRrz+VfGqn3eJutv+8o7rTqt4gnfTFxWtjXSlgf3QKyP/n1KEnQ1ynvT5m2BZV5UkB0IleA/X+jCw7fXZP29KXMaHzj/6ZT8bm9/GNW6aQW47mAVTu7rxCdWz5rweQSOzL5gCnRmbN69+k4rQsNtKJo+GunzizZ0BGp0Y08HNNG+7sMTvs6p/v5MqQBXWxuuWdfX16fb1tsbLmBbVVWl25YNZEtFWD076MG6lQ34x3un4wYs9A37sf7+5pjO4AmV6aLRqhTKlIMzs3hp26mEnv+pELAAGJd4O+Ej85b5Ot5Bf4MPb33Qie37uwyToCvvzavKyRQTR73noKPfh5+88CEevHlxVoU4yVqpy6VmEtyQzQVj7BkbdTSznfGjhBuJbBNkFn2hckih1ATI6QvaZy51zbaWLpxjJ9OunPI3EgEMCqf9pK8h66GBDGORUkNlQUEBpk+fjoMHD+q27d+/H7W1tSgrSz47d7rhWGbC0aZj5YaaKvmeKBSKnnx6/kMxSrwd882BIEffj9O4Tjz23BvYuOt0ZLySBP3R5/bCG+Aj9+1c51HiWEd9cwAAp7rckbFZw8RAstUSXUygY0KHVKKZAaBSo33rDVZAApuyCGXRZlCNQY6fnzAVKEJqnY0M4mkP1OnGWswMZswlU7OYvYfDCY4pMUm5p9lVV12FPXv24NChQ5G+jz76CO+99x6uueaaVJ8uJagfpljEe5gSyQ2lCIAUCmVqkW/Pv+VsiTctQcmm08I1mPW1YYGwVvLVHaci9+0cp14Dpx6b7YTpoi6VyMST+SqJ5asNzKdA7CorScM6IJmLI02TLMDED6Tm2HFQ1tVaG6mtbQ/U6sZaLSxWrVgJAdZIH8MP4rUtu7MrvOc4KRfgPve5z6G8vByf+9zn8Otf/xq/+c1v8NnPfhbV1dW46667Un26lGFUpUFNvIdpogIghUKZvOTj89+8SO/DBACHPOcR7XmuQ4bjAGDngR647BzsjI/Q0kiySRelmG0NpjYXHJsCAU6plmLk/5bqsnbZqsbQ3FSt08B1GAhwbh+P7z33Idp85LZjh3ZmXwObw6RcgCsuLsbvfvc7LFmyBE888QT++7//G0uXLsUzzzyTtTqoiRCv9FAiD9NEBEAKhTK5ybfn/5qVDZhepfcBO+SZR7TnuQ7rxii4fTwuWlCFBQUHwJiiprL2QB38kkM3NpsaTNGm8c/yJ1dn2AglsfyF08mI0KKq81Ie9Kb3g0u/AOcN8OAFCXVW0txspIGzmBl0DviI6gwAUG8/kxMa2FwlLdk96+vr8cQTT6Tj0GkjkdJD8dCW6VJDi4RTKFObfHv+nXYO3793Fb75y3dwsjMaYajVwM10nIKd8cMv6XODFjg4XHtxI04Ok1q6fe6FhmOzqcGU7OTvx/hTI1A4bRxqigeBwWjfgoUXIJTioA3JyA8ujSjRxYODfXhgSbSEliCz6AnqE/0r4ntnkBQ0p1nCwY+0ZKUx+Z2eXcN4SxYp+05EAKRQKJOXfHz+XQ4LvnrLYnz3f/dEBNdRoQjtgVrU2cJaF9Yk4RznUexzL9Ltv6qpGk4bh1VVhwFVfvd9o8Zjs4moEeDYQOo0QqxfU0bLnroyWgohcxVsqjaTZhOqEl08x0Fq37oC1RA1YkdNmQOdA+EJ0BskqzRVnhXgaMlKY6gAB+P8ROOZKBMRACkUyuQmH59/p10vuB4LzI8IcACwuHCfToBTtJJMoBMWX7TMgSgz2O9eYDg2m4h2rQk1RQKcxOsCIkRHY0oO7Q2E8xBu39+FVQ4P7lHdwnRr4JToYp3/WzCqCVR/4Hz9yXfh8fPoCZHauUprb2RsPjxPyZK3ApzXz+OV1w7i9V1thvmJEsFI8FOgk41CyV/y6fnXCq6uvn7gwOuR7ZdX7cVfhj5nqJXkOt8ijtXHLABrKwZyTIMpWesgm1iY5LAfHhPqA0QfwDrG2DM+TOBM5Jjh81QC7MTLP2kTyw9wmvRd/omlQYmHOipbLcgDZAqRH91zUeQ5aW6qxsZdp3UaOMWEmm0NbK6SlwKcN8Dj0ef3oqOPzJq+cddptJwYiOtAqv6qGa/gR6FQKFORkCDhj4fn4C6ZhdkUFkxK0Iof3F4GpvBccGaW+PC1DG4h9i9ovArr18ZOmJ41GDMkax1hOmX9pyG65k7osOkyn2oTyw/wZAChb2jiQRixUKKyPX4etToBLhzAoNWoKT6kXf0iBNXcKeJG4WD94HkJ3gBP11gNeSnAbdjZRghvauJVTYhVLisRwY9CoVCmMur347I587G4sCWybdcbT6G99G7sOtwTrQe7oByfN20ijsGXrQGQmxpM0T5dI8C1TVyA85ECnORIjQCnTSw9ECI1cBahB4GUnIlEUXCE+LAAptfAhQU4rUZN8SF9efsp9AXKUW3tiWwr53qxaY8dh9uG6BqrIY0l43OX8WZNT6RcFoVCyU+URStfUb8f3x0ms+qfZ9mOTXvaiYoM/UdeAitEE8pK5iLwRcsyd8FJog1kYFIQyKDTwKVAgDNKLD0qFEKUo8t9gdkNPpjagvaKAL9x12mEBAkmSKi2kmtpR6A2pk+j08aBYxl9IMNZPzi6xurJOwFuIlnT86lcDoVCGRtvgMefthzHA49tw90/3ooHHtuGP205npeJR9Xvx/eGlxPb5jqPoJQjs/9fXraZaAerbgQYS/oucIJIulxwKRDg0qCBM0osLYHFIF9C9FnF3gmfS41WwVHCDcHCRJ8Dj+BE8wXz42rRtrV06QIZFD84gK6xWvJOgBtv1vR8K5dDoVDio9Y4xKr1mS9o3499fAWOe6NltRiTjGunvRZpF5pHcEHx+8QxAjW3pv9CJ4AulUgKkvlqNXBSinzgjBJLa82obIojUbUKjipLD9Hu46tw06WzYwpvyhzq0WngosehayxJ3glwwPiypudjuRwKhRIb6lIRxej9uGngcqK9ruLvcLJhs93lZZsjjuoAELKfA6Ewd82nACDaG4n2hJP5yjJYfyt5DsdM47FJYlRZaFATyPDsy5tTpi02UnCoBS8A6AhUxhW+lDnUGzLOBQfQNVZLXgpw61Y2oLYi+bJZ+VYuh0KhxIa6VJBo34+b+tdimC+KtB2sH9dU/A0Vll7cUv0CMfb5YyvwwM+357T5WdLmgpugD5wp1AuTqPoAMLsgW8ondEwFJSjg6hXTUeAIC9aDPKmBc8p9KdMWGwnwWgFuSKoeU/hqbqrWVWpQm1DpGkuSlwKc08bhm3csxScumx2Z3AUODlevmB7XPj/ReqkUCmVqQF0q9Gjfj0HZipd7ryXG3F77ezy98AtwsNEYSJ9ow+aBNTlvfpas1ZBN0bWB4YdgEkbj7BEfrfYNrlmAyTTu42lR8vOtv78ZV15Qj36NCbXsrE9iqrTFWgG+SiPAFVacO+Yx1q1sAONqJPqUIAa6xurJSwEOCGcQv+ua+Xj8y5fgya+uxvr7m+Pa5wHjr5pEBD8KhTK1oC4VepT344zqaJH7Db1XwyPET3b7P+13YVgojrRz1vxsYiDayGLrjFYISwLWd5LsKJg17mONxY4D3bpccGWqoJJUaIu1AnyVpZvYfu6888c8htPG4e5b1kJE9NkqMHtw/YUldI01IG8FODXJ1jxVvmoSFfwoFMrUg7pU6HHaODx48+LIQu6TnPjV6S9Cko01S/tGF+If/Vfq+nPV/KyNEtVGkSaCErm86S0yiXHI2jiRS4uJoi3WBjGUWgYj/0+Ftlir4FA0ZwqWwsT8+5x2K2QHaa7+52UcXWMNoALcBMinr2sKhUJCXSqM0S7kW4dW4+cdX9MVMe8OVmJ96/2QDZahXDQ/ewM8PhokfdQOHdidlLlXHblczpJ1Qv+42wTvGGb58cCLEjgzowtiKOOiAlyqtMURBce9F6DcEtXwyTDp6snGQ7LWEm022Dnha5uK5GUlBgqFQpkoiqCiLuSeS/U7s4m2PipnXoOBgSux7/Xvwi/asXd0Cfa5myDIxvco18zPiuB1PuNCk8qK6u49hGee24sHb1mEEpdtzOOoI5drbaRQsr+3FJ6dbfjE6tSZUpXr5gUJAxIpwJVygwBkAKaUa4vZAJliRbLVJpXjT7LVEG0mkJsa2WxDBTgKhUIZJ3pBJXeEjlxBuSemsmV4uvfBMYM/gNwzPyuCV3UheV3V1i50tHnxlcd3JFQXOxq5LKPGSgpwnYFanNnXmVIBTi0wBiQ7vKIDTtYHAOAYAYWsGwUl1SnXFuvSo2hSsIyFZNUIcFQDZwg1oVIoFEoKoMLb2IzlNwjkpvlZEbw6g1oBLuqoP1YUrTpyuZQbgp2IxLVjWChKuelYm+pmMERq4Srt6akvqg3uSFaAE63kfWZSnHR4qkAFOAqFQqFkhHh+g4wJWLusLueiDdWCV29oGlFTtNwyAKspSIyPFUWrjlyusZJF3jsCNQBMKTUdG6W60UaiFjL9sJhTLwawvlaiLdmTE8j1JtSOGCPzGyrAUSgUCiUjxErFdOXyeqx/oBm3rj0np4Q3gBS8BJlDX6iC2F5l1WuHYkXRKhrIGhu5vTMYFlguWVSj22e8GKW60QYy1LhG0qI51iY5Tt6ESmrgUl32a6pAfeAoFAqFkjEmo99gc1M1Nu4KO+Z3BqqJJLXVtm60BRqJ8YopVPu3rVvZgJYTA6jV+L91BGowvaoAH1+ZWtOx+roBfT3UxbWhlJ5PgdHUidXWkR0L6gOXGFQDR6FQKJSsMBmEN4A0/Xbp/OD02qFYplBFA7mkeojon1a/CN+/dxWcYySHThatyXqQLyG2nzfNn9LzKeijUOtjjDRGskwj0ssw/CAgBuLskZ9QAY5CoVAoGSfE51aet3ioTb8DEpmjTBtNCsSPonXaONQ7SKHvguUXw+VIPM1GomhN1gOaeqgWoTvGnhNA8IDhowKqbDJDslYldwxGvw8NZNBDTagUCoVCyQjeAI8NO9uwfb8qb94YqTdyBaeNw9qldXijgzQHqiNRgQSiaCVBV8FBcqSvjJbaZI0BDtj7/cg2Jph6AY4NnCHakq0OMCWvaRUsVUQC38ef/zsqZl8xKeZKpqACHIVCoVDSjpJUVslLBkRTb7ScGMi56FMFrdBZZy0BpkW316gS8s6sKcSXP7ko7t/BBE7DJEejQyXLNMhcUVquXXduZx3RTkeFA36UFE4/6i/A1i3HkxK8vAEe7T12LFGV0XVIPTk/VzINNaFSKBQKJe2ok8pqydUC9urSV25fWOjqDlUSqUQqLAOwM2Ffsr5h/5iChdnzEdEWHHNSfNWxkSyVkBGtS8uE+gApdeW7vAEeb769g+jr9pfHzY9nxIadbWj3kEJt2dnarbk6V7IBFeAoFAqFkna0SWW15GIBeyOhU5A5dAVJ/6x6W9hsmEgiXrP3ENEWXeel4EoThOEgW8g0KKk0o27Y2QYLT9Z47Q2F1ZXJCF7bWrowqImYLeOitVUzNVdy3U+TmlApFAqFklaMkspqiZV6I5vEEjpP+6ejTmU6rbefwVHfOQkl4mU9pAAnuOZN/EKTQLTWgAn1Rtr/v707j4+qvvcG/pkze2E8bqAAACAASURBVGZCFpKQEEhQcKlsAioJTYQLtWhEvKhRaZXaeml79XnwaV2K7eu5fXlvK9inG61eal2r1vYCbq0Fl1ZrgwLKUsEFZM9CyB6SzHpmzjx/jGcy58xkssyZmRzyeb9evur5nTOTHweqH3/L9yf4miHZh7dLdCB1+5vx7eI2RVtrVN287fubw2vxEpD/rHTYlTXrogNcKv+s6GmdJkfgiIgopeIVlVUbbQfYJwqd9V5l4Cm3hctmJNp96vKK2Pz2EbSc2KNo77Ocn2RPh0c0T1BcP/3SW9j89pEhT28ORH5fRZZWRXt0gBvKCKX8Z6XdX6Boz/98ChVI3Z+VeFPm8jrNh57bjWDzG7A1PgWDv22Qb0oPBjgiIkq5wc5BHW0H2CcKnfWeMsV1mb0h4e5TORi8sesYJlqUuzT/3198cA0yOqkVl1fE7pPKiTeH1DrsNWrxyO+ryKIMN23+/h0fQw1e1bNKYo79ih6BS9WflYHWaeabO7E693so/ugGZH96F3J31wDB+Os504kBjoiIUi7ROaij8QB7YODQWe9RjsCdn3Mq4c5IORiU2JphFgKR9g5/Hg63GvGXHelZlL91x0k09I5TtOVruDlg4cwC5JmVRYrbokbShhq8airLYRunfMf55i4AoZT+WYk3ZT7O2IOfXXgv5ub8M9Jmch2CveHJlPRhOBjgiIgo5QY6B/WqirJRWxZioNDZ5CtV7ETNxmk4TQOfaiAHA3mqVVbvDY/k/ePD9BwVVbe/GR3+gUe2kt0csGyOEYIhFLnu8OchEAr/vg4neDlsZnznq1+EH/11RMxCAP86Py9lf1YGmjK/oWQLCiwdMe32k78Cgqk5yWKouImBiIjSQm/noMqhc+vOk9i+P2pR+6wyBE1TYfQcjjxr7DuIQO5lMd8RHQzK7coAd9ITDjS9bjHlOx7lfnSalQEu39y/tizZzQHOkDIAtvmLPn9fJaipGN4mAIfNDMFeDHiORdpWXOpAMEVBX54CVoa4EObnvB/3eaO/BbamZ+At+1ZK+jMUDHBERJR2oz28yQYKnaEPLwKiApzJFT/ARQeDspgAFx6By84yw2JO7fuQ+6E+Tmu8hpsDBI9yfV/5uRdhw4rqEX9fyDpBEeAEfwuCuGDE3zeY6lkl2Lar//dokq0RE20Dl1mxZzjAcQqViIhoCKLDTcB5oeKese/TAT8nr6WLHYELB7jLZ0/UqosJVc8qQad/4BG4ZDcHqA+xD2Ult1ZNshQprgVfS1LfNxj1lPn8nA8U9/2OGQgJtsi1IdCT0v4MhgGOiIhomIIOZQFeoeejAZ+tqSzH1ELlwfdSyIAG72SUFjhwdWV6NnDUVJYjO68Yfql/GjLL6IFd8GiyOcDoUQa4oK1sgCeHRrKqApw/tQFOvU7zslxlgPv90Wq8iR9CEuyQTDlwnfdASvszGE6hEhERDVMge6biOtjxAf7Pr97BF2eWxhR9ddjMWFsjQfiof4H/Kf9k/MtlF4TXhg1SI08r4YAyD566IljQFGn/10utWFCZ/OYAIeYg++QKBEsWZc266ALEqSJPmS+ZbsV5+w4p7tW1zkVbUyFeKngJ3639AnJz8lLen0Q4AkdERDRMPUI5XMHsyLXD6MY46cSANdWyvf9UXI8/53LULpqW9t23DpsZWbnKYFUz26xJP4yqABe0JzuFqgpwKZ5Clbm8Iv7y599DMEiRtqPuc9AmhosSN7Z78d2N+3DXr+o0KYI8UgxwREREw7R1Zz0O9imPhbrA8RmA+DXVTGd2K64DOZektoMJBK3KNXeCV4MyJqEgBK/yHNRgkkd0pXsKVbZ1x0kUG48q2j7unR7znHxKQ7JFkEeKAY6IiGiY6vY34zOX8his8x39u1IVNdVCIZhVAU7MYICTrMWKay0OtBd8zTCE+osUS+Z8wBi/cPNQxY7ApX4KFQjX5ZtiVwbw454pAz6vRRHkkWCAIyIiGga5ptoh13mKdnkEDlCe+yl4GxXrt0KCHUFHeg+xjyapR+B8yY/AqUuIBG3Jb8yQrOo1cKkfgfOLQbi8AUyxn1C0n0gQ4IDkiyCPBAMcERHRMMg11Q6rRuCm2E/AavABUNZUM/Wopk/HXQwImdtDqB6BMyY5AufyitizV1nwtr4vL+lpRclSqLg2+DuAUGoLHlvMRozPCijqvwVDAho8iaeDowN7ujDAERERDVP1rBL0BMeh2dc/SmQ0SDg3K1x4Nrqm2miaPgW0HYFzeUWsf24vmhsOKtoPnHYmvzZMsISnYj9ngASDv33k3zdE18zoU1w3+0rgC1kTfibZIsgjwQBHREQ0THLRV/U6uIucn6K0wIEvXTIp0mbpeFvxTOYDnHZr4LbuOImmdhcKLcr1aa2+Ik3WhsWWEkn9NOrCczoV1yfcg08HJ1sEeSQY4IiIiIZJLvqKgi8q2ufn7sKpdhfufvg9rNlQh9fe+gdMff1FfkMQIOZdnu7uKgRtyrAh+JqBkDTA04nVfb72a4JVFeD84enPZNeGxexETUMpEYdPearGcc8UOGzhafN4tCiCPBIs5EtERDQCDpsZ517yFeD99ZG2CxyfIdfUia5APvo8IjzHXwWiDiQQcysQsoyP821pZHRAMuVACJwBABhCARj87QipwtJguvq8kcPfCy1tintygJPXho10ejHmOK00FPM19n6suK658mpcWbwQLq+IrTtPYvv+ZvS6RWRnmVE1qyRcjDnN9fwABjgiIqIR+/PeAK5wTcN5jiMAAMEQwvzcD/Ba+1IAwGW5ysX9/sKr097HeCRrSSTAAYDR14zAMAKcyyvi53/88POrEAotyrVprf7wdyW7NiztxXxDIZj6lAEOObMA9J/SULtoWlKhVCucQiUiIhqhuv3N2Nk9X9FWkbsLAOAw9mFGtjIM+AuvSlvfEpGs6mnU4W1kkNe+AUCuqRtWwR+55wpmwRV0Akh+bVi6S4kIvtOKYCsZnZDinOma6fAGMMARERGNiFwPbkd3haJ9VvZ+jDP2oDpvO0yG/tISYtYFCDqmqb8mI2IC3DBPY6iLWttWpJ4+9YWnT7VYGxYzhZriETij57jiOpg1FTAYUvozR4pTqERERCMg14Nr8ExCk3ciSm3hEGQWAriz/L9xkVO5GF4sGh3TpwAQtE1SXAu+pgGejCUHV1lRzAaGcOi6++bZSa8Nix2BS+0aOEEV4CT7OYprvxiExZz50TeAAY6IiGjEqmeVYNuuerzR/iV8fdIzkfYFeTsVz/klKzoKvwZbujs4AMmmLEyrPog+ETm4yiGuSF1CxF+I7Cwzcp3J/2pdGI/cqOv20yfw8ttHUFOZmo0DRvcxxXUw65zw5oUdJ7H9QNTmhZklKevDUHEKlYiIaITkenB/ar0G9Z5JAz63+fR1+PGW1owceh5P0K4agfM0DvBkfNVRa9tip1CLNKmL5vKK+MUryhp144xdKT1AXj2F6jaVYf1ze7FtVz163eGfl+lD7GUMcERERCMk14O7Yv5UPHn6f8d9psVXiBdP/2vGDj2PR7IqA5zRO7wAJwdXIDbABW2TNamLtnXHSXzWakQw1B9VnCYXzAZ/yt6l0XNCcf3uMXtks4Zapn8/GeCIiIiSIJeXuPOb/44X2lYq7rmDdvz8xP+B//OjmDJx6Hk8QVup4lrwnRrWOaNycL2qogzFNmWAW3bF5ZpMLdbtb0YIArrFHEV7rrkbQGrepdGtHIH76yFLwucz+fvJNXBEREQa8ItBPF1/E/7augCF5nb0BZ046SmLhDcg+cK2mjE5IZnzIIhdAABDSITga4VkG/rUp8NmRu3CqRj/dgcQlf0sOVMRSrJ70RslugN5GG/pitzLM3WjzV+k+bs0BHogiB2R65DBjPqenASfyOzvZ8pG4Hp7e1FVVYU//OEPqfoRREREo4a8uL/ROxn7eufgsPs8RXgDAItJgD8wsmOrtBZUbWQQhrGRQWYIdEEI9h/+HhLsCJmTP2lCfpcA0CXmKu7lmcNhTusD5NWjb0F7GbLsiTdiZOIQe1lKApzf78ddd92Ftra2wR8mIiI6S1QPsnjfH5AyvvhdJlnV06hDLyUiM3rqFddB+2TN6qbJ77JLzFO0530+har1AfLxSogM9vuZiUPsZZoHuJaWFqxatQrvvvuu1l9NREQ0qkUv7h9IU7sLr2w/nvCZdJBUO1GNw9yJCsSO2sU7tWCk5HepHoHLNXel5gD5vtgSIol+PzN1iL1M0wC3fft2XHnllTh06BBuvfVWLb+aiIho1JMX95tNif/1+taexoyPwmkxhRozAqdhgJPfZUnpuYr22ZMCWHvLXE02Sri8Ija/fQRrNvwDO3a9p7i3tykbACKbNbKzwj8vO8uMqyrKNOvDSGm6ieHo0aOYP38+vv/976O5uRnPPvusll9PREQ06pmNAsRB1rlJIeDV907gpsXnpalXcfqgmkIdbikRABC8caZQNeSwmTF7+nTgQH/beeO96NEovK1/bm+kTEixVVlz7u3PrGg8vhdrb5k7qg6xl2k6Ardy5Ur85je/QVmZdgmciIhIT6IX4Cfy3kenB30mldRhS/COZA1c6qZQI9+ZogPtt+44qajxNsGq/N7Tvgkxtd5GS3gDhjACN9hGBJvNhuzs8DCjxZK4XspQGQwGCCmuUCcIBsX/UnL4PrXF96ktvk9t8X0O7oszi/H6+4mnJHvdIoIhCWYh/K/idL9PQ5bqOC1fA4zG4fXB6FP9Gh1lw/6OQdnVAa4t4c8Y6p/P7Qf6a7gZIKHA3KG43+YvDD+3vxk3L8ncSOlABg1wVVVVCe+vWLEC69ev16xDADB+vAMGjXaxDCY3N/FiUxoevk9t8X1qi+9TW3yfA7vtmhl484NGSKGBK6LlOC0oLuqvM5au99nn9mPLW4fx1gfH8dT5AoyG8HSv4G9H/jgjYLIP/ctUU6jjSr4AZDm17C6QPVVxafS3ID/PMehu10Tv0ycGI0djAUCOqQdmIRC5dgftcEvhz/e6RTiz7aPmEHvZoAHuRz/6UcL7U6ZM0aovER0drrSMwOXmOtDd7YIkJVtykPg+tcX3qS2+T23xfQ7NknmleHP3wOvKqmaWoLOzL63v0+UR8eNn96CpLTx12OEfjyJr/0xb8/H9sI6fPqTvMojdyPP3F9gNGSzo8mQD3r4EnxqBkAF5gg0GyRu+DnrQ2dYMmMbFfXyo7zM7yxwJcQWWdsW9dn+B4rm+Xk+Sv4iRyc8fOAwPGuBqa2s17cxQhEIhBId+okdSJCmEYJD/ANIK36e2+D61xfepLb7PxJZXnYNPTnTFPUuztMCBK+eXKd5fOt7nn989EQlvANDiL1IEuA/27ETlkouG9F2mmLIbUxCUDEDS5zDEkiwTYPRGnTvqPo2gIzvxZwZ5n1UzS7BtV3gEUR3g2qICXNWsklH555xnoRIREaVA9Hmho6UERZ3q7M5mX7Hy+sRHuOtXddj89pFBy5wY3UcV10H71AGeTJ5kLVJcC/7WpL8zusZbgTn+CFyma70lwrNQiYiIUkQ+6H40lKCIPl9U1qIKcMXWFvS2idi2qx77j3YkDJpGt3oE7ty4z2lBsqg2MviS34kqB+ytO09iYnOn4l5PqAhXVZShpqI8o7XeEuEIHBERURpkugRFvPIm6hG46Fpo6hIaamkNcDGlRLQpwSIH7CumKzdELF30RdQumjZqwxvAAEdERDRmqM/2PK0KcCWqYrbbVVOuQP/pBSeP/lPZbkrdVKNkUU2h+rQ9a92oOgdWspUO8OTokbIAN3/+fBw6dAgrV65M1Y8gIiKiYVCf7XnapxzZChez7V+w3+sWIQb6dxXKpxds21WPIvMpxWcfft2dsuPB1AHOoMEauGjqIsaSbdIAT44eHIEjIiIaI9QbK3qD2egLZEXuWwU/8s39pUGys8yRqV+XV8TP/+efaGp3wS64kWfujjwnSiYcOO1IOOWajFSdxgAACAUh+JRhNDiWR+CIiIho9JHXfT34zQpMKR4XM41abOmfRq2aVQK/GIyMvB1v7gUQO9Xa4i+CBGPcKVctpHIKVfC1wBDqH2WUzHmAMSvBJ0YH7kIlIiIaY6IPcj+dVYxpjv4NCcXW0/jEdRGcdjPqPmzGtp31sJgE+ANS5JkSq7ocSXhtnTzlquWGDZdXRN1eD26NavP1NsHlFTXZZCB4lcWWJevonz4FOAJHREQ05kQf5B5vI4PZJKDPI0bKjkSHNwAosakCnDcc4KKnXLUgB81XPnAr2m2hDjz03G5N1twJqg0Mepg+BRjgiIiIxpzogr7qUiITrC0QVYFNLXYELvwdVapdrsmSg6YvZIU72H9Gq8kQxJmuFk3W3BljNjAwwBEREdEooy7oq96Jql7fFk+pVbno/5RvYkpOLYgOml1inuJenrlbkzV36inUoA52oAIMcERERGOKuqCvegq11NaExOeZhlBur1e0CDkXaH48mDpodom5ivu55u6YMicjwRE4IiIi0oXogr5t/kJ4g9bIdbapD3mmrngfAwDkmzvhNLki117Jjq9d92XNTy1QB83ugDLA5Zm6NFlzx00MREREpAvRBX1DEFDvLVPcV4+wRZvmVN3LmQ6H3Rr/4SRFB814I3BarLmLrQE3MenvTAcGOCIiojFGXdD3pEcZ4GYVxF8HV1rgwJ1LlNEhNG56yvoZHTS7VWvgJo9zJb/mThIh+JS/Vr1MobIOHBER0RgkF/StXTQNlmP7gKN/i9y78gu9aJtQhu37m9HrFpGdZUbVrBLUVJQj68iTiu8JOr+Q0j6uvWUutu48CU/9eMW9L55ngCfJaVvB1wxD1Ho/yVIICKkZTdQaAxwREdEYF8pRjqLZvIci4U5dmNfY96ni2YAzdSNwQH/QtLR9EfjnryLtlmA7PEl+t/oM1KBO1r8BnEIlIiIa84IO5Siase8gEArXglNsEggFYXIdVDwbcF6U8v4B8Y7TSv5Ae6N6A4NOpk8BBjgiIqIxT7KWQDL1bxIQgn0QvA0xzxndx2CQvP2fsxQiZClMUx+V9eoM/uQDnF5PYQAY4IiIiMhgiFnLZur7JOYxo6otXaNvwOfr06II/jYglGwNOPUIHKdQiYiISEfUYSx6rZvLK2Lz20fwt7/9RfGM13ZBWvoGABCsilFCAyQY/B3JfaVOi/gCDHBEREQEIKAegev9EED/gfLbdtVjqvVjxTMv7R+nyYHyQ6WeRhX8LUl9X8wmBo7AERERkZ4Exs1RXFu63gVCociB8iaDiAudhxTP1DVP0+RA+aGSLKoA50suwMVMoVo5AkdEREQ6Esi+GJLRGbkW/K0wuj6LHCh/XtYRWAV/5H67fzxa/BM0OVB+qDQdgQt6IYjtkcsQBEjW5E92SBcGOCIiIgIEMwK5Fcqm9nciB8pPz1ZOn37UOx2AQZMD5YfC5RVxsMWmaPvk049HPIWr3oEqWYsBQT/lcRngiIiICC6viD1dyo0MrYdfh9kUjgoznModqB/3hQv4anGg/FD6tv65vdhTr/w5baePYf1ze0cU4ow63sAAMMARERGNeXJA2vyxchF/ofg+xEAQAoL4girAfdQXDntaHCg/GHkdXqeYr2jPN3ehqd01onV4gmr9m542MAAMcERERGOeHJCOuqfCHeyfpswzn8FkWyMudBxClrG/gG+3mING7ySUFjiSP1B+COR1eJ2qA+3zzF0AMKJ1eEbfKcW1njYwAAxwREREY54ckCQY8Umfchp18fi3cM2EVxVtH/VNh8VkxNpb5sKR5IHyg/GLwcg6vK44I3AAhrUOT65pt+OD3Yp2r0k/GxgABjgiIqIxLTogAcAHZy5R3L+h+CVU5b2naHuj/Qr4AxIsptTHCIvZCKc9HBLVI3D55k4AoSGvw4uuaZdjUB7FtXmXL6017ZLFAEdERDSGRQckAPhb+5KYoBTtuHsK9vVcnJbNC7Lqz9fZeSQ7PFFTvBZBhMPoQuWMCQN9VEGeKgaAAku74t6hdmdaa9oliwGOiIhojKuO2ojgC1mxpfn6AZ99qeVaAIa0bF6Q1VSWo7TAAcCALlW4LLB04Y33G3HXr+qw+e0jcHkGHkWri1orpw5wHWJBWmvaJYsBjoiIaIzrD0hhr7V/Ge3+8THPtfoK8Y/O6rRtXpA5bGasvWUurqoowxlJuQ4ux9QJILwObtuuevz42T3oc/tjviN6qtgqeJFt6ovcC4SM6BZz0lbTTgsMcERERGNcdEDKzjJDDFnwaPN3EYA18kyDZxIeab4PX644Ny2bF+L1sXbRNJxzzgWK9vHmTsV1U5sLW946HPP56KniQrNq9M2fDwlGWEwC/AFJ456nhn5KDhMREVHKyAGpdtE0iIEgzKbF6AreDqOnAZK1GEaDE/8rTWveEpGsxYpruZRItL9+UI/lC2JHCKtnlWDbrvqY6dN2fwEAwB+QsP65vRkJqMPFETgiIiJSMJuM8ItBwJiFoPMChMw5aduwMBjRVKS4zo8T4M70+eGPMxUqTxXHBDixIPL3Iy0MnG4cgSMiIiIA4TIbW3ecxPYDzeh1i8jOMqNqZglqKstHzYiUwa7cPBFvBC7HaYHFZEQwGFK0y1PFOzc/qWhv8xcorrfvb0btomka9Tg1GOCIiIgoUiNNLrMB9G8M2H+0Y9RMK6qnUPNVa+AA4EuXlg34ebNRQL6pTdHWrgpw8maG0TLqGA+nUImIiEhRI01tNE0rSlblCJx6CrW00IEbFp834OctZiMm2JShTx3g0lnjbqQY4IiIiEhRIy2e0VIjTbIqi/bmW/pPY7iqogw/uHUenFmWhN8x2akMfeoAl84adyPFKVQiIqIxTn2cVjyjZVoxZMpFSLDDIHkAADbBh9/eNQcme7g+nNFoGPQ7co1tQNQeh7aoTQzprnE3UgxwREREY5xcIy1RiBs104oGA4K2iTC5j0aarIFmBJGf4ENRHxfPQAj2F/H1Sxb0BMaFN2zMKkFNxejZsJEIAxwRERFFaqQNZDRNK0q2SUBUgDN6GxHMnj6kzwreRuW1YxIevWfR6Ainw8A1cERERBRznFa00TatKFlLFdeCr2nInzV6lSFVspfrLrwBDHBERESE2OO0AEQ2BoyWEiKyoE0V4FSjaokIHuVu2qBtsiZ9SjdOoRIRERGAeMdpjc6RKck2SXFt9A5nBK5B+V32gWvGjWYcgSMiIqIYozW8AYAUMwI3jADnUU6hBhngiIiIiFIvqBqBG94UqmoNnI0BjoiIiCjlJOtExbXRdwoIhQZ4OszlFbH57SPwdB1VtPcKEwf4xOjGAEdERES6EjLlQDI6I9cGyQuD2DHg8/I5r2998BnGmXoi7YGQEQ9uPgWXN3ER49GIAY6IiIj0xWCIWQdnTDCNKp/zWmSJPcS+sd07as55HQ4GOCIiItKd4WxkkM95LbK0KNpbfEUARs85r8PBAEdERES6E7SqNjIMUMy3z+2PHBE2wdqquNfmLwTQf86rnrAOHBEREelO7BRqf4Drc/vxP28dQd2Hp9DrFmEAEAJQqJpCbfGHR+BGzTmvw8AAR0RERLqjLuYrlxJxeUT83yfeR/3p3sg9eX/qBEv8EbjRdM7rUHEKlYiIiHRHfZyWfMLCqztOKsJbtJgROF/RqDvndag4AkdERES6E7QrQ5fgPg4AqPvw1ICfKbYqNzFcNP1iVFeOrnNeh4oBjoiIiHRHspUjZDDBEAoAAIz+FoieM+h1x6/p5jD2Idd8JnIdMphx5aIqwKCvtW8yTqESERGR/ggmBFXHYNkC9cjOij+aNtGqHJkLZp2r2/AGMMARERGRTklZ5yquje5jqJ4d/2isUps6wJ2Xsn6lg6YBLhAI4Le//S2WLl2KGTNmoLKyEvfddx9aWloG/zARERHRMATjBLhlleUoK86OebZUPQLnmJbSvqWapgFu/fr1+NnPfobzzz8f3//+93HdddfhjTfewMqVK9Hd3a3ljyIiIqIxLibAeY7BYTfjoTurcHVleWQ6NTvLjEtKu1Sf1XeA02wTw/Hjx/Hcc8+htrYWP/rRjyLt8+fPx+rVq/HMM89gzZo1Wv04IiIiGuOC9tgROABwZllw4+JpuH7hVIiBIMwmI3J33g9EVRfRe4DTbARu9+7dCIVCWLFihaL98ssvx7hx47Bnzx6tfhQRERERgllTFdeC+2jMM2aTEQiFYHIdUbQHHPpeA6fZCFxNTQ1mzpyJc845R9Hu8/ng8XhgMrFiCREREWknaC9HCAIMkAAAJt8pfOeXb+JfLjsfS+ZMhM0Szh6CrxkGyR35nGTKQchckJE+a0WzETiHw4ELL7wQVqtV0f6HP/wBoihi3rx5Wv0oIiIiIrj8BrSLRYo2Z7ABL7x9BD9+dg9c3nBNOKNbOfoWzJoKGAxp62cqDDos1tbWlvC+zWZDdnbsbg8AOHjwIDZs2IDc3FzcfPPNQ+6UwWCAkOICJ4JgUPwvJYfvU1t8n9ri+9QW36e2+D5HbtuuelR4JqDQfDrSNtHajHpvOZraXHhtVz2urizHJ/98DwujPne8rxh2fwAOu/5OYJANGuCqqqoS3l+xYgXWr18f03706FHcfvvt8Pl8+OUvf4n8/Pwhd2r8eAcMaUrGubmOtPycsYLvU1t8n9ri+9QW36e2+D6Hb/v+ZpTnl2DOuA8jbSW2ZuDzAxfq9p/CgeOduML0ETCh/3PvN+Rgx/P78NCdVXBmWdLca20MGuCid5TGM2XKlJi2AwcOYPXq1Thz5gzWrVuHhQsXxn4wgY4OV1pG4HJzHejudkGSQqn9YWMA36e2+D61xfepLb5PbfF9joxfDKLH5UeTQ1m49xz7icjf97hE9LhETDnvhOKZJl8p6rt68dzWT3Dj4tG7GzU/3zngvUEDXG1t7bB+2M6dO3HHHXfA5/Phpz/9Ka6++uphfR4AQqEQgsFhf2xEJCmEYJD/h9EK36e2+D61byfPBwAADs9JREFUxfepLb5PbfF9Do9REOC0m3HUrdyJOi2rfydqeC5PwnkO5Ro4+TP/+PAUrl+o/LxeaLo1dN++ffjWt74FSZLw61//GosXL9by64mIiGiMc3lFbN1xEtsPNKPPI+KYcC6kkAGCIRx+S21NsAtueKQshACUWpvhMPbvQO0NONHsKw7/vVuM1InTG80CXE9PD9asWQNRFPGb3/wGl19+uVZfTURERASXV8T65/aiqd0VafNIdjR6S1FmbwQACIYQpmYdQ5d9Ps70+XC+/TPFdxx2TYM8NpedZdZleAM0DHDPPPMMWltbMW/ePHR1deGVV15R3M/Pz0d1dbVWP46IiIjGmK07TirCm+yIe1okwAHAdbO6UVwxD39+9wQmnzqsePawu7+Ab9WsktR1NsU0C3C7du0CAOzZsyfuqQuzZ89mgCMiIqIRq9vfHLf9iGsaFo//e+T60uJGdNrNqKksh/TXY4pnP3OFA1xpgQM1FeUp62uqaRbgnn32Wa2+ioiIiEjBLwbR5xHj3jvsVu0k7dgNAHBYQiiwHQOi9oY0h76AqyrKUFNRDoftLK4DR0RERJRpFrMRTrs5bog77j4HwZAAoyF8pBb6jsAgdsHUdxyGkD/yXNA6EQ/ccW26upxSKa62RkRERKSN6gHWrPlCVtR7JivaTB3/gLnjLUVbIOfsOdaTAY6IiIh0oaayHKUF8U+sOOydobju+vC/YW38naJNzEt8upSeMMARERGRLjhsZqy9ZS6uqihDdlZ4/ZrTboLTbsbWln9RPFsWeg9m74nItSiZ8N0/l2Hz20cih9zrGdfAERERkW44bGbULpqG2kXTIAaCeLnuOLbtqkcfpuGI61xMcxyL+7l3uxagudeO5l312H+0A2tvmavrTQwcgSMiIiJdMpuMitIir7cvHfDZ19u/HPn7pnYXtu48mdK+pRoDHBEREemSurTIO53V8ARtMc81eifio77pirbtA9SU0wsGOCIiItIlubSIzCNl4fGG2xXPeII2PHLy3yEfnyWTz0HVK66BIyIiIt2qnlWCbbvqI9dvdFyBXWcuRan1FPwhCxo8k+ELWWM+p+dzUAEGOCIiItKxmspy7D/aoTgj9UwgF2cCuQk/p+dzUAFOoRIREZGOxSstkuO04MuXTkLJ+Ky4n9H7OagAR+CIiIhI56JLiwRDEoqLctDZ2Ycelx9bd57E9v3N6HWLyM4yo2pWie7PQQUY4IiIiOgsYola16auGafnNW9qnEIlIiKis97ZFN4ABjgiIiIi3WGAIyIiItIZBjgiIiIinWGAIyIiItIZBjgiIiIinWGAIyIiorOOX9TvOadDwTpwREREdFZweUVs21WPdw8040yfP1y4d2YJair1X7hXjQGOiIiIdM/lFbH+ub2KM1F73eFAt/9oB9beMvesCnGcQiUiIiLd27rjpCK8RWtqd2HrzpNp7lFqMcARERGR7tXtb054f/sg9/WGAY6IiIh0zS8G0ecREz7T6xYhBs6ejQ0McERERKRrFrMRTnvi9W3ZWeaz6jxUBjgiIiLSvepZJQnvVw1yX28Y4IiIiEj3airLUVrgiHuvtMCBmoryNPcotVhGhIiIiHTPYTNj7S1z8dquemyPrgM3qwQ1FawDR0RERDQqOWxm3Lh4Gr59w8U43XoGRsPZO9F49v7KiIiIaMyynEUbFuJhgCMiIiLSGQY4IiIiIp1hgCMiIiLSGQY4IiIiIp1hgCMiIiLSGQY4IiIiIp1hgCMiIiLSGQY4IiIiIp1hgCMiIiLSGQY4IiIiIp1hgCMiIiLSGUMoFApluhNERERENHQcgSMiIiLSGQY4IiIiIp1hgCMiIiLSGQY4IiIiIp1hgCMiIiLSGQY4IiIiIp1hgCMiIiLSGQY4IiIiIp0ZkwHu1KlT+M53voOKigrMmzcPd955JxoaGjLdrbPCD3/4Q9x4442Z7oauvf/++/ja176GOXPmYPbs2bj55pvxzjvvZLpburVv3z6sWrUK8+bNQ2VlJe6//360t7dnulu6d/DgQcyYMQM//elPM90VXVu1ahUuuOCCmL+uu+66THdNl86cOYMHHngAVVVVmDNnDm688UZs3749091KCVOmO5Bu3d3dWLVqFfr6+rBq1SpYLBY8+eST+OpXv4qXX34Z+fn5me6ibm3ZsgV//OMfMXv27Ex3Rbf279+P2267DZMmTcIdd9wBs9mMF154Ad/61rewYcMGLF26NNNd1JUPP/wQt956K8rLy3HXXXehp6cHv/vd77B792689NJLcDqdme6iLgUCAdx///0QRTHTXdG9w4cPo6qqCsuXL1e05+bmZqhH+uXxeHDLLbegsbERq1atQkFBATZt2oTVq1fjqaeeQkVFRaa7qKkxF+CefvppNDY2YsuWLZgxYwYAoKqqCitWrMDjjz+O++67L8M91J9gMIiNGzfi4YcfznRXdO/BBx9ETk4OtmzZgnHjxgEAbrrpJlxzzTV46KGHGOCG6Sc/+Qmys7Px/PPPIycnBwAwc+ZMfPOb38SWLVtw2223ZbaDOvXoo4/i8OHDme6G7nV2dqKzsxPV1dW49tprM90d3Xv88cfx2Wef4fHHH0d1dTUAYMWKFbjiiivwyCOPnHUBbsxNob766qu4+OKLI+ENAC688EJcdtllePXVVzPYM33y+XxYsWIFfv3rX+Paa6/FhAkTMt0l3fJ6vfjoo4+wZMmSSHgDALvdjsWLF6OpqQnNzc0Z7KG+iKIIp9OJ66+/PhLeAOCSSy4BABw6dChTXdO1Q4cOYePGjbjjjjsy3RXdk/8MTp06NcM9OTu8+OKLWLBgQSS8AYDT6cTatWuxcOHCDPYsNcbUCNyZM2fQ0NCARYsWxdybOXMmdu7cidbWVhQVFaW/czrl8/nQ19eHX/ziF6ipqcHixYsz3SXdslgs2Lp1K8xmc8y9rq4uAIDRaEx3t3TLbDbj0UcfjWn/9NNPAQATJ05Md5d0T546XbBgAZYvX44NGzZkuku6Jo9iTps2DQDgcrngcDgy2SXdampqwqlTp/CVr3wl0ia/z7N1dHNMjcC1tLQAQNxRIjm0cYRjeJxOJ9544w3U1NRkuiu6JwgCysrKUFJSomhvbW3Fm2++ibKyMv7HRRJaWlqwbds23HPPPSgsLMTNN9+c6S7pzmOPPYaTJ0/iP//zPzPdlbPC4cOHYTKZ8Nhjj+GSSy7B3LlzUV1djWeeeSbTXdOd48ePAwAKCwvxi1/8AvPnz8fcuXOxcOFCvPTSSxnuXWqMqRE4l8sFIDwlpSa3ud3utPZJ7wRBgCCMqf8OSCtRFHHvvffC4/Hg29/+dqa7o1uSJGHJkiUQRRFGoxE/+clPUFhYmOlu6crhw4fxyCOP4D/+4z9QXFyMxsbGTHdJ9w4fPoxAIID6+nr813/9F3w+H7Zs2YIf//jH6O7uxpo1azLdRd3o6ekBAGzcuBGSJOGee+6BzWbD73//e6xduxZAeD3c2WRMBThJkgAABoMh5l4oFAIAhhEaNURRxN13342dO3di2bJluP766zPdJd0SRREPPvggBEHApk2bcPfdd6O9vZ2bGIYoGAzi/vvvx7x581gmSEPXX389li5diq9//euRtuXLl2PlypX47W9/i5UrV/I/NIbI7/cDADo6OvDaa6+hoKAAALB06VLU1NTgZz/7Ga699tqz6t/xZ8+vZAjktQUejyfmntfrBQCWFaBRwePx4M4778Trr7+OhQsXYt26dZnukq5ZrVYsX74cy5Ytw1NPPYWZM2diw4YN6Ovry3TXdOGJJ57AwYMHcffdd0d2TsojHl6vF52dnSwpMgK1tbWK8AaEBxFuuukmiKKI3bt3Z6hn+pOVlQUAWLx4cSS8AeG1xcuWLUNbWxuOHj2aqe6lxJgKcKWlpQCAtra2mHutra0AgOLi4rT2iUitt7cX3/jGN/DOO+/giiuuwMMPPwyLxZLpbp01jEYjrrzySrjd7si6GUqsrq4OoiiitrYWlZWVqKysjExHPfvss6isrMTevXsz3Muzx/jx4wFwSc9wyGvb5XcXTW6Tl1GdLcbUFGp2djbKysrw8ccfx9w7cOAASktL4/7mE6WL1+vF6tWrsW/fPlx77bVYt24dd56OUENDA2677TbU1tbGrB+U/0Fus9ky0TXd+d73vhcZcZO1t7fj3nvvxdVXX40bbrgBF154YYZ6p0+dnZ1YtWoVFi5ciHvvvVdx79ixYwCAyZMnZ6JrunT++efDYrHgyJEjMffkk5bUG8T0bkyNwAHAlVdeiT179uCTTz6JtB08eBDvv/8+li1blsGeEQHr1q3Dvn37sHz5cjz00EMMb0mYNGkSvF4vNm/erPgv7zNnzuCFF17A5MmTI+UbKLEZM2ZgwYIFir/mzp0LIFyOZcGCBYpaezS4/Px8+Hw+vPjii+js7Iy09/T04Omnn0ZpaWnkHdPg7HY7vvSlL+Hdd99VDNJ0dXXhlVdewezZs8+6OqVjagQOAG6//Xa8/PLLuP322/GNb3wDgiDgiSeeQElJCRc0U0Y1NDRg06ZNsFqtuPTSS/GnP/0p5pklS5ZwneYQGQwGPPDAA7jzzjuxcuVK3HDDDfB6vfjjH/+Irq4uPPbYY3E3NBGlyw9/+EP827/9G2666SZ85StfgSiK2LRpEzo6OvDYY4/BZBpz/4pOyr333osPPvgAX//617Fq1So4nU48//zzcLvd+MEPfpDp7mnOEJK3X44hDQ0NWLduHXbs2AGLxYLLLrsM9913H4erNSAvIN20aVOmu6I7L774Iu6///6Ez2zdupVV24fp73//OzZu3IhPPvkEFosFl1xyCdasWYPp06dnumu61tjYiCVLlmD16tW45557Mt0d3aqrq8PGjRvx8ccfw2g0Ys6cOVizZg3PlB6hpqYm/PznP4+s25w1axa++93vnpXvc0wGOCIiIiI9G3Nr4IiIiIj0jgGOiIiISGcY4IiIiIh0hgGOiIiISGcY4IiIiIh0hgGOiIiISGcY4IiIiIh0hgGOiIiISGcY4IiIiIh0hgGOiIiISGf+PznuWW9EY2ywAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(x, y, 'o', label='data')\n", "plt.plot(x, yfit, label='fit', color='orange', lw=4)\n", "plt.title('Julia, Python and R working in Jupyter')\n", "plt.legend();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Polyglot Data Science FTW!!!" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# Bonus\n", "\n", "## Cython, the happy child of C and Python" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [], "source": [ "def f(x):\n", " return x**2-x\n", "\n", "def integrate_f(a, b, N):\n", " s = 0; dx = (b-a)/N\n", " for i in range(N):\n", " s += f(a+i*dx)\n", " return s * dx" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [], "source": [ "%load_ext Cython" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\n", "\n", "\n", "\n", " \n", " Cython: _cython_magic_8ba296f194edf8ff3bbb003f9da689f4.pyx\n", " \n", " \n", "\n", "\n", "

Generated by Cython 0.27.1

\n", "

\n", " Yellow lines hint at Python interaction.
\n", " Click on a line that starts with a \"+\" to see the C code that Cython generated for it.\n", "

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+01: cdef double fcy(double x) except? -2:
\n", "
static double __pyx_f_46_cython_magic_8ba296f194edf8ff3bbb003f9da689f4_fcy(double __pyx_v_x) {\n",
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+02:     return x**2-x
\n", "
  __pyx_r = (pow(__pyx_v_x, 2.0) - __pyx_v_x);\n",
       "  goto __pyx_L0;\n",
       "
 03: 
\n", "
+04: def integrate_fcy(double a, double b, int N):
\n", "
/* Python wrapper */\n",
       "static PyObject *__pyx_pw_46_cython_magic_8ba296f194edf8ff3bbb003f9da689f4_1integrate_fcy(PyObject *__pyx_self, PyObject *__pyx_args, PyObject *__pyx_kwds); /*proto*/\n",
       "static PyMethodDef __pyx_mdef_46_cython_magic_8ba296f194edf8ff3bbb003f9da689f4_1integrate_fcy = {\"integrate_fcy\", (PyCFunction)__pyx_pw_46_cython_magic_8ba296f194edf8ff3bbb003f9da689f4_1integrate_fcy, METH_VARARGS|METH_KEYWORDS, 0};\n",
       "static PyObject *__pyx_pw_46_cython_magic_8ba296f194edf8ff3bbb003f9da689f4_1integrate_fcy(PyObject *__pyx_self, PyObject *__pyx_args, PyObject *__pyx_kwds) {\n",
       "  double __pyx_v_a;\n",
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       "        CYTHON_FALLTHROUGH;\n",
       "        case  2: values[1] = PyTuple_GET_ITEM(__pyx_args, 1);\n",
       "        CYTHON_FALLTHROUGH;\n",
       "        case  1: values[0] = PyTuple_GET_ITEM(__pyx_args, 0);\n",
       "        CYTHON_FALLTHROUGH;\n",
       "        case  0: break;\n",
       "        default: goto __pyx_L5_argtuple_error;\n",
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       "      kw_args = PyDict_Size(__pyx_kwds);\n",
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       "        if (likely((values[0] = PyDict_GetItem(__pyx_kwds, __pyx_n_s_a)) != 0)) kw_args--;\n",
       "        else goto __pyx_L5_argtuple_error;\n",
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       "        case  1:\n",
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       "  goto __pyx_L4_argument_unpacking_done;\n",
       "  __pyx_L5_argtuple_error:;\n",
       "  __Pyx_RaiseArgtupleInvalid(\"integrate_fcy\", 1, 3, 3, PyTuple_GET_SIZE(__pyx_args)); __PYX_ERR(0, 4, __pyx_L3_error)\n",
       "  __pyx_L3_error:;\n",
       "  __Pyx_AddTraceback(\"_cython_magic_8ba296f194edf8ff3bbb003f9da689f4.integrate_fcy\", __pyx_clineno, __pyx_lineno, __pyx_filename);\n",
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       "  __pyx_L4_argument_unpacking_done:;\n",
       "  __pyx_r = __pyx_pf_46_cython_magic_8ba296f194edf8ff3bbb003f9da689f4_integrate_fcy(__pyx_self, __pyx_v_a, __pyx_v_b, __pyx_v_N);\n",
       "\n",
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       "}\n",
       "\n",
       "static PyObject *__pyx_pf_46_cython_magic_8ba296f194edf8ff3bbb003f9da689f4_integrate_fcy(CYTHON_UNUSED PyObject *__pyx_self, double __pyx_v_a, double __pyx_v_b, int __pyx_v_N) {\n",
       "  int __pyx_v_i;\n",
       "  double __pyx_v_s;\n",
       "  double __pyx_v_dx;\n",
       "  PyObject *__pyx_r = NULL;\n",
       "  __Pyx_RefNannyDeclarations\n",
       "  __Pyx_RefNannySetupContext(\"integrate_fcy\", 0);\n",
       "/* … */\n",
       "  /* function exit code */\n",
       "  __pyx_L1_error:;\n",
       "  __Pyx_XDECREF(__pyx_t_4);\n",
       "  __Pyx_AddTraceback(\"_cython_magic_8ba296f194edf8ff3bbb003f9da689f4.integrate_fcy\", __pyx_clineno, __pyx_lineno, __pyx_filename);\n",
       "  __pyx_r = NULL;\n",
       "  __pyx_L0:;\n",
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       "  __Pyx_RefNannyFinishContext();\n",
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       "/* … */\n",
       "  __pyx_tuple_ = PyTuple_Pack(6, __pyx_n_s_a, __pyx_n_s_b, __pyx_n_s_N, __pyx_n_s_i, __pyx_n_s_s, __pyx_n_s_dx); if (unlikely(!__pyx_tuple_)) __PYX_ERR(0, 4, __pyx_L1_error)\n",
       "  __Pyx_GOTREF(__pyx_tuple_);\n",
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       "/* … */\n",
       "  __pyx_t_1 = PyCFunction_NewEx(&__pyx_mdef_46_cython_magic_8ba296f194edf8ff3bbb003f9da689f4_1integrate_fcy, NULL, __pyx_n_s_cython_magic_8ba296f194edf8ff3b); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 4, __pyx_L1_error)\n",
       "  __Pyx_GOTREF(__pyx_t_1);\n",
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       "
 05:     cdef int i
\n", "
 06:     cdef double s, dx
\n", "
+07:     s = 0; dx = (b-a)/N
\n", "
  __pyx_v_s = 0.0;\n",
       "  __pyx_t_1 = (__pyx_v_b - __pyx_v_a);\n",
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       "    PyErr_SetString(PyExc_ZeroDivisionError, \"float division\");\n",
       "    __PYX_ERR(0, 7, __pyx_L1_error)\n",
       "  }\n",
       "  __pyx_v_dx = (__pyx_t_1 / ((double)__pyx_v_N));\n",
       "
+08:     for i in range(N):
\n", "
  __pyx_t_2 = __pyx_v_N;\n",
       "  for (__pyx_t_3 = 0; __pyx_t_3 < __pyx_t_2; __pyx_t_3+=1) {\n",
       "    __pyx_v_i = __pyx_t_3;\n",
       "
+09:         s += fcy(a+i*dx)
\n", "
    __pyx_t_1 = __pyx_f_46_cython_magic_8ba296f194edf8ff3bbb003f9da689f4_fcy((__pyx_v_a + (__pyx_v_i * __pyx_v_dx))); if (unlikely(__pyx_t_1 == ((double)-2.0) && PyErr_Occurred())) __PYX_ERR(0, 9, __pyx_L1_error)\n",
       "    __pyx_v_s = (__pyx_v_s + __pyx_t_1);\n",
       "  }\n",
       "
+10:     return s * dx
\n", "
  __Pyx_XDECREF(__pyx_r);\n",
       "  __pyx_t_4 = PyFloat_FromDouble((__pyx_v_s * __pyx_v_dx)); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 10, __pyx_L1_error)\n",
       "  __Pyx_GOTREF(__pyx_t_4);\n",
       "  __pyx_r = __pyx_t_4;\n",
       "  __pyx_t_4 = 0;\n",
       "  goto __pyx_L0;\n",
       "
" ], "text/plain": [ "" ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" } ], "source": [ "%%cython -a\n", "cdef double fcy(double x) except? -2:\n", " return x**2-x\n", "\n", "def integrate_fcy(double a, double b, int N):\n", " cdef int i\n", " cdef double s, dx\n", " s = 0; dx = (b-a)/N\n", " for i in range(N):\n", " s += fcy(a+i*dx)\n", " return s * dx" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "35.9 µs ± 3.32 µs per loop (mean ± std. dev. of 7 runs, 1000 loops each)\n", "343 ns ± 57.9 ns per loop (mean ± std. dev. of 7 runs, 1000 loops each)\n" ] } ], "source": [ "tpy = %timeit -o -n 1000 integrate_f(0, 1, 100)\n", "tcy = %timeit -o -n 1000 integrate_fcy(0, 1, 100)" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "99.14938925050228" ] }, "execution_count": 21, "metadata": {}, "output_type": "execute_result" } ], "source": [ "tpy.best/tcy.best" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## The Julia interoperability is pretty neat" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [], "source": [ "%julia @pyimport numpy as np\n", "%julia @pyimport matplotlib.pyplot as plt" ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "slideshow": { "slide_type": "slide" } }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 23, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "%%julia\n", "# Note how we mix numpy and julia:\n", "t = linspace(0,2*pi,1000); # use the julia linspace\n", "s = sin(3*t + 4*np.cos(2*t)); # use the numpy cosine and julia sine\n", "fig = plt.gcf()\n", "plt.plot(t, s, color=\"red\", linewidth=2.0, linestyle=\"--\")" ] }, { "cell_type": "code", "execution_count": 24, "metadata": { "slideshow": { "slide_type": "slide" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "execution_count": 24, "metadata": {}, "output_type": "execute_result" } ], "source": [ "fig = %julia fig\n", "fig.suptitle(\"Adding a title!\")\n", "fig" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## And you can really use Fortran as an interactive language" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [], "source": [ "%%fortran\n", "subroutine f1(x, y, n)\n", " real, intent(in), dimension(n) :: x\n", " real, intent(out), dimension(n) :: y\n", " !intent(hide) :: n\n", " y = sin(xx**2) - cos(x)\n", "end subroutine f1" ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "t = np.linspace(0,2* np.pi, 1000)\n", "plt.plot(f1(t));" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# Bash, Perl, Ruby, etc..." ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "/Users/bussonniermatthias\n" ] } ], "source": [ "%%bash\n", "echo $HOME" ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Feb" ] } ], "source": [ "%%perl\n", "@months = (\"Jan\", \"Feb\", \"Mar\");\n", "print($months[1])" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.6.3" } }, "nbformat": 4, "nbformat_minor": 2 }