{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "R Code pulled from https://www.statmethods.net/advgraphs/ggplot2.html" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "# ggplot2 examples\n", "library(ggplot2) " ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "# create factors with value labels \n", "mtcars$gear <- factor(mtcars$gear,levels=c(3,4,5),\n", " \tlabels=c(\"3gears\",\"4gears\",\"5gears\")) \n", "mtcars$am <- factor(mtcars$am,levels=c(0,1),\n", " \tlabels=c(\"Automatic\",\"Manual\")) \n", "mtcars$cyl <- factor(mtcars$cyl,levels=c(4,6,8),\n", " labels=c(\"4cyl\",\"6cyl\",\"8cyl\")) " ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": {}, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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a16dg6icnZ/T4+IwIDjx4/fv3+fSgAAAAB9Q7EDA7l7925hYWFsaIiAx6OVIbV3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eh4eHjIyMpKSks7Nzeno6/3kCgXD//n01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", "text/plain": [ "plot without title" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Kernel density plots for mpg\n", "# grouped by number of gears (indicated by color)\n", "qplot(mpg, data=mtcars, geom=\"density\", fill=gear, alpha=I(.5), \n", " main=\"Distribution of Gas Milage\", xlab=\"Miles Per Gallon\", \n", " ylab=\"Density\")" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": {}, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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rkUc3JM1yG72AMBdMODDz5IV9cbMGPXqaTzdrymIgNSzBmzBwLonu9+97tJx7dv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\nA9ZGGjun07lu3bqsrCzjE3+vXr3Gjx+/Z8+eYcOGBZ+wYsWK4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"text/plain": [ "plot without title" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Scatterplot of mpg vs. hp for each combination of gears and cylinders\n", "# in each facet, transmittion type is represented by shape and color\n", "qplot(hp, mpg, data=mtcars, shape=am, color=am, \n", " facets=gear~cyl, size=I(3),\n", " xlab=\"Horsepower\", ylab=\"Miles per Gallon\") " ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Warning message:\n", "“Ignoring unknown parameters: method, formula”" ] }, { "data": {}, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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0IXEmTIdgAAAHKAYPcdyuPWfr5R196WeOZE0skjQpcTZMh2AAAAkodg9x3m5DFF\nQx3/c8L508OPHSQcJ2xJAAAAAP5DsPuOe9JU58xCXzO+8lzawb2UhLIdBu0AAACkDcHu37hm\nFV4eM9HXHFJXnbq/nPJ6BSwpuJDtAAAAJAzBrrcrueOaJk4lFMU3hzTUpu/dRUvoUtlz584J\nXQIAAACEBIJdH1qyRtXnTeeuZ7voy40jKrbTHrewVQEAAAD0D8Gub5aMrPppczj62usTdbXZ\ntLuUcbuErSpYzp49K3QJAAAAEHwIdjfVnpJeO7PISyv4pq6tJWNXCeN0CFtVsOBkOwAAAOlB\nsOtPR1JyzZz5XkbJN7VWS+aurUpbt7BVBQuyHQAAgMQg2N1C19DE6oIFHqWKb6o7OzJ3bVV1\ndQpbVbAg2wEAAEgJgt2t2WLjzUXFHrWGb6ps3VllJZqOdmGrAgAAAOgFwc4v9hhjVdEit1bH\nNxm7LbOsRNfeJmxVQYFBOwAAAMlAsOuBZen2tpvdjthpiK6au9gVZeCbCqczo2ybvrFeArcv\nRrYDAACQBkboAiIC5XazX39m2L+XsKw6Jo4dnuLJyeWUyl6LuXT6yqJFpvLtGquFEKJwuzL2\nlV3SR3WkZnhGjr5xeRExm80ZGRlCVwEAAACDghE7QghRl37r3VtO+K+X4LyKxjrm9PE+l/Ro\ntFUFC+0aLd+kCTfc1hlTV8WcPEZE/q2yGLcDAAAQOwQ7QlvblaeO9epUXLlM3+TyCC/HNSnV\ndsW1wU6KI8Ns3UMu1dNW0V9OgWwHAAAgagh2hG5r7fuB7r7vV0fZuliKatRHdV+/vx1FyDBH\nd3wVvoMVAAAAhIRgRzittu8HVKq++5UqQoiXUE3aqC7m+jIcSaqpGnrhTCgqDCcM2gEAAIgX\ngh1hE5LY+IRenZxWxxnj+lzeG2XwRscQQjiKXNLqO3z5j+OGnTicdPJIKIsNB2Q7AAAAkUKw\nI4SmHUuWUbHfxThOo3FPyOPom7w4FOUel8dp9YQQjiKX1XqLVu97MOH86eSjB3AhBQAAAIQf\nbndCCCHe+KHM07/uPHSAamt1c5R3aAKn6O+V4fR616xC+moz1d3NaXUN8UM9Z0/45mHjqs5T\nXm9D3jRCUWEpPyRwAxQAAADRQbC7jlG6c3IJIax/g1UcTbOJw3zNS+Mns2qNbx421nyR9rjr\np8666bAfAAAAQLAhdgTNlZFjLk2Y4hulG1Jfk/6v3RR/bzxxwoQsAACAuIR7xIvtGU4AACAA\nSURBVK6+vv6dd945d+4cwzBjx4598MEHhw4dSghhWfa9997bu3evx+PJz89/+OGHVTe7KDWC\nXc3OZRVMytH9/Dl20U31GXt31swo8jJiHRnFhCwAAICIhHXEzuVyrV69WqPRrF69+sknn2xt\nbV2zZg3/0N/+9rfy8vJHHnlk1apVR48e/dOf/hTOwoKozZRd12MGNqr5kqm8VOFyCVvVYGDc\nDgAAQCzCGuzMZnNzc/Pjjz+enZ09bdq0lStXXrx40W6322y20tLShx56KD8/f/LkyY8++mh5\nebnVag1nbUHUnpZRO72AUyj4pq71qqm8VOF0CFvVYCDbAQAAiEJYpwizsrI+/vhjjUbjcDia\nmpr27NmTlZWl1WrPnTvncDgmTpzILzZhwgSWZauqqvLy8viet956q7q6mv952LBhjz76aNBr\noyjKYDAQQjQazeDX5jJlN2p1w8tKaI+HEKK1tGaXlzbMv92j1Q1+5YNEURRFUQPdzUuXLuXk\n5ISopNChadpgMHAiv/uMPxQKBSEkKipK6ELCQaFQ6PV6ObytSqWSECKfnaVp2uv1Cl1IyDEM\nQwjR6XQy2VmlUhnAuVUejycU9chBWIOdQqHgP35eeOGFs2fP6vX6tWvXEkLa2tr4v9T8Ykql\nMioqqq2tzffEw4cPHz58mP85Jyfnpz/9aSjKU6vV5Pqv3OC5UtMvFS9JKt3Mz8Oq2i2pJV9f\nKl7iMUQHZf2DFMBuVldX5+bmhqKYkBLjyZoB449hOZDV2yqfnaXldBsBPrXLRLA+WMEfwrzW\nzz//vN1u37p1669//eu3336b4zjqhlu+sT2uJ3355Zdd109TUyqVFosl6CXFxMTwk782my1Y\n67RFRTsKi0fs3qZwOgkhys6OYd98UVNU7DTEBGsTAdBoNBRF2e32AJ4bilc+pKKjozs7O+Uw\n2mEwGBiGaW9vl8nOdnd3y2G0Q6/Xq1Qqq9Uqk511Op1yGKfRarUajaazs1MmO8uyrGvgJ5pz\nHCef/1SDK6zBrqampq2tLS8vz2AwGAyGe++998svvzx16lRsbKzH47Hb7TqdjhDCsmx3d3d8\nfLzvifyVsz4tLS2hKI+PksH9A9odY6wqXGQqL2XsNkKI0m7L2LHFPGeBfYgxiFsJQGC7WVlZ\nKbqLZFmWlUPW4fdRPjvr9XpZMd9LyE/8uymfnZXPnhK8rRAy4b54Yv369b43uLu72+12KxSK\ntLQ0lUp18uRJvv/MmTM0TZtMpnDWFjqO6JjKwmKX/trJT4zTYdpdomu9KmxVAcOFFAAAABEr\nrMEuLy+P47g33nijsrLyzJkza9euTUpKGjNmjF6vX7hw4bvvvltZWVldXf32228XFBQYjQKP\naQWRK8pQVbTINwOrcLlM5dujrl4WtqqAIdsBAABEJirMEzcXLlx45513zGazWq0eO3bs/fff\nn5CQQAhhWfadd97Zt28fy7LTpk176KGH+jlfOBRTsbGxsfzlGqFLLYzTkVFeqm2/dpqal1bU\nzSjoGJYSos3djE6noyiqu7t7kOsRxZys0WiUyWlnMTExSqWytbVVJjvb1dUlh8kdg8GgVqst\nFotMdtbhcLjdbqELCTm9Xq/Vaq1Wq0x21uPxOJ3OAJ7b84ws8F+4g11QiDTYEUIULlfGnh2+\neViOpuunzmpPHRG6Ld4oWMGOiCHbIdhJEoKdJCHYSRKCXfjJ6NrySMCqVNVz5ncNTeKblNeb\neqDCaK4UtqqAYU4WAAAgoiDYhZuXUZpnz7Mmp/JNiuNSj/wr/sIZYasKGLIdAABA5ECwEwCn\nUNRNK/huBpbjhp84nHjulJA1DQKyHQAAQIRAsBMGR9P1+bPbMrJ8PYmnjiadOEJkcIIUAAAA\nhAiCnWA4imrIm96SNcrXk3DhdPKxg2LMdhi0AwAAiAQIdoKiqKaJU5tHjfV1xFWdTzu0l0K2\nAwAAgIFDsBNe89hJl8fnkevfljuktjp97y7aK767GyDbAQAACAvBLiJcyRnTOHGqL9tFX2pI\n37uLZsX3/dDIdgAAAAJCsIsUrZkj66bM5K5nO8Plpozy7QoR3r4S2Q4AAEAoCHYRpD3dVDe9\ngKOvvSn6lisZu7cpXIHcsFtYyHYAAACCQLCLLNbktJqZc70Khm/qLK2ZZSWMwy5sVQFAtgMA\nAAg/BLuI05k03DxnHqtU8k2NtT1z11Zld5ewVQUA2Q4AACDMEOwiUXd8orlgIatS8011V2dW\nWYm6q0PYqgKAbAcAABBOCHYRymaMqyos9mi0fFNp687cVaKxWoStKgDIdgAAAGGDYBe5HDFD\nqooWufVRfJNx2E1lJTpLq7BVBQDZDgAAIDwQ7CKaM8pQWVjsjIrmm4zLlbF7m76lWdiqAoBs\nBwAAEAYIdpHOrdNXFRU7Yox8U+F2Z5TvMFxuEraqACDbAQAAhBqCnQh4NNrqomJbbDzfpFnP\niL07Yxpqha0qAMh2AAAAIYVgJw4epco8Z0F3fALfpLzetP3lxtpqYasKALIdAABA6CDYiQar\nVJrnzO9MGs43KY5LPbQ3ruq8sFUFANkOAAAgRBDsxMSrYGpmzrWmpF9rc1zy0QOJZ44LWlQg\nkO0AAABCAcFOZDiarps2x5Ju8vUknjmReOqogCUFBtkOAAAg6BDsxIejqPopM1uyc309iedO\nJR/ZTzhOwKoCgGwHAAAQXAh24kRRTROmNI+e4OuIq76QdnAvhWwHAAAgYwh2ItY8enzz2Em+\n5pC66tT95ZTXK2BJAUC2AwAACBYEO3FrHjW2MW8aoSi+OaShdsS+XTTLClvVQCHbAQAABAWC\nnei1mnLq86Zz17Od4VLjiIrttMctbFUDZTabEe8AAAAGCcFOCiwZWfXT5nD0tXcz6mqzaXcp\n43YJW1UAkO0AAAAGA8FOItpT0mtnFnlpBd/UtbVk7CphnA5hqwoAsh0AAEDAEOykoyMpuWbO\nfC+j5JtaqyVz11al3SZsVQFAtgMAAAgMgp2kdA1NrC5Y4FGq+Ka6syNz5xZVV6ewVQUA2Q4A\nACAACHZSY4uNNxcVe9QavqmydWeVlWg62oWtKgDIdgAAAAOFYCdB9hhjVdEit1bHNxm7LbOs\nRNfeJmxVAUC2AwAAGBAEO2lyGqKr5i52RRn4psLpzCjbpmu5ImxVAcBtUAAAAPyHYCdZLp2+\nsrDYER3DNxVul6lie1Rzk7BVBQbZDgAAwB8IdlLm0eqqChfZhsTyTdrjydi7S18nypCEbAcA\nAHBLCHYSx6rV5sKFtvgEvkmxbFLZNoP5orBVBQbZDgAAoH8IdtLHKlXVs+d3JQ7nmxTHJZTv\niK0Wa7ZDvAMAALgZBDtZ8DKMeWaRdXjqtTbHpRzdP/TiWUGLChyyHQAAQJ8Q7OSCUyjqZhRa\n0k3X29yw44eSTh4RtKjAIdsBAADcCMFORjiKqp8ysyMn19eTcP70sOOHCMcJWFXAkO0AAAB6\nQbCTGYq6Mm1O+5gJvo6hF8+mHN0v3myHeAcAAOCDYCc/FNU6ZcblcXm+jtjqi2kHKiivV8Ci\nBgPZDgAAgIdgJ1NXRo65NGEKoSi+OaS+Jv1fuymWFbaqgCHbAQAAEAQ7ObuandswaZov20U3\n1Zsqdig8HmGrChimZQEAABDsZK3NlF2fP4u7nu30Vy9nVGxXuF3CVjUYyHYAACBnCHZyZ0nN\nqJ1RyCkUfFPXcsW0u1ThdApb1WAg2wEAgGwh2AHpGJ5qnlnkZRi+qbW0ZpZtZew2YasaDEzL\nAgCAPCHYASGEdCUOr549n1Wq+Kamw5pVVqLq7hK2qkFCtgMAALlBsINrbPEJ1QULWLWab6q6\nOjN3bVV3WoWtapDOnTuHeAcAAPKBYAffsRvjqgoXebQ6vqm02zJ3lWjbLcJWNXjIdgAAIBMI\ndvBvHNExlYXFLn0U32ScjoyyEl1bi7BVDR7OugMAADlAsIPeXFGGqqJFTkMM32TcLtPu0qir\nl4WtKiiQ7QAAQNoQ7KAPbq2uqqjYPsTIN2mPe0T5juhLDcJWFRQYugMAAAlDsIO+edQac2Gx\nLTaeb9JeNn1f2ZD6GkGLChpkOwAAkCQEO7gpj1JVXbCga2gS36S83tQDFUZzpbBVBQuG7gAA\nQHoQ7KA/XkZZM2dex7AUvklxXOqRf8VfPCtsVUGEeAcAAFKCYAe34KUVtTMK21NHXGtz3PDj\nhxLPnhSypmBDtgMAAGlghC4gEEqlMnSrVVz/1lSpoiiKDHQ3FYqmGYWcUmmsvsh3JJ4+pmDZ\n5vF5hKJCUWSwUBSlUCg4jrvlknV1dYSQzMzM0BcVEvzbqlQq/dlZsaMoimEYmpb+/6X8Pspn\nZxlGlB9JA8W/m5L/rOHRNK1QKAL41JbDn7IQEeVvkfr6tyMEEUVR/Gpl8pclgN28Mr2AqNTG\nc6f4Zvy5kwzraZ46M8Kz3YD+etbW1hJCcnJyQlZOqPAfFSqVSuhCwoGmaZVKJYe/+763VSY7\nq1Qq5RB3+H1UqVRer1foWkJOoVDQNB3AfyYejycU9ciBKENMV1fwv8NUpVLxq3U6nUFfeThR\ntm66w8oxSi5mCNfXP0kKhYKiqMB2s37sJKdSlXTyCN8ccvEs53A05M/iIjXbKRQKl8s10A/F\nkydPZmRkhKikEImJiaFpuru7Ww4JICYmxmazsSwrdCEhZzAYFAqFfHbW4XC43W6hCwk5vV7P\nMIzdbpfJzno8nsA+caKiooJejxyIMthB3zhOeeakorHuWkup8owexyYOC+5GrowcQyiSdPIo\n4ThCiLHerPC462YUeGlJ/Z/Nn3UnungHAAAyJ/3zNuSDMVf5Uh0hhHK7mJPHqK7OoG/oSs6Y\nxkn5vhnY6EsN6Xt30awEh81xzSwAAIgLgp10KBpqe/VQXlbRFJKvi2g15dT3mIE1XG7KKN+u\nkOi0AuIdAACIBYKdVHAc1ddJDJTDHqINWlIz6qbN4a6fEqtvuZKxexvjcoVoc4JDtgMAgMiH\nYCcVFMVpNDd2c1pd6LZpTUmvmTnXq7h2pqbO0moqK2FCFiUFh6E7AACIcAh20uHJ6H0PNk6p\nZFPSQrrRzqTh5jnz2euX32qslqydW1Tdwb9sOXIg3gEAQMRCsJMONiXdkzmSu351KqfVuydO\nCemIHa87PsFcsNBz/Q5qqu6uzLISdQgu2ogoiHcAABCBcLsTSfFkZrNpI6juLqJgvFFRYbt1\nsM0YV11YbCrfzs/DKm3dmbu2Vs+Z74gxhqcAoeCuKAAAEFEwYic1nFLpHWL0Ggxh/kIIR4yx\nqmiRW6fnm4zDbior0Vlaw1mDUDB6BwAAEQLBDoLGGWWoLFrkjDLwTcblyti9Td/SLGxVYYN4\nBwAAgkOw6y0jIwMzawFz6/RVRYt8M7AKtzujfIfhcpOwVYUT4h0AAAgIwa5vGdcJXYj4eDTa\n6sJimzGOb9KsZ8TenTE33DxZ2hDvAABAEAh2t4CEFwCPSmUuWNgdn8A3Ka83bX+5sbZa2KrC\nD/EOAADCDMHOX4h3A8IqleY58zuThvNNiuNSD+2NqzovbFWCQLwDAICwQbAbGAzg+c+rYGpm\nzrWmpF9rc1zy0QOJZ44LWpRgEO8AACAMEOwChHjnD46m66bNsWRk+XoSz5xIOnlEwJKEhXgH\nAAAhhRsUD4ov2+HT+mY4iqrPm84yyviLZ/mehPOnFW5346T8MN9pL3L4jhb8bwAAAMGFEbvg\nwABefyiqacKUKyPH+Driqi+kHvkXxXECFhUJMIAHAADBhRG7YMIAXj8uj8vzqtS+eVijuZJy\nu+vzZ3O03P+7wPeSAQBAsMj9MzVEMIDXpysjxzTmTfPNwA5pqB2xbxfNssJWFSEwegcAAIOH\nYBdCiHc3ajXl1OdN565nO8OlxhEV22mPW9iqIof5OqELAQAAUUKwCzncIaUXS0ZW/bQ5vhnY\nqKvNprJtCpdT2KoiDeIdAAAEAMEufBDvfNpT0mtnFnlpBd/UWVpNZdsYp0PYqiIQ4h0AAAwI\ngl24Id7xOpKSa+bM9zJKvqm1WjJ3lSjtNmGrikyYnwUAAD8h2AkD8Y4Q0jU0sbpwIatS8011\npzVr11ZVV4ewVUUyxDsAAOgfgp2QcPqdzRhXXbDQo9bwTWV3V1bZNk2HVdiqIhwG8AAA4GYQ\n7CKCnOOdfYixqqjYrdXxTcZuyyzbqmtvE7YqUUC8AwCAXhDsIohs453TEFNVtMgVZeCbCqcz\no2ybruWKsFWJBR/vzp8/L3QhAAAgPAS7iCPPeOfSR1UWFjuiY/imwu0yVWyPam4StipxOXv2\nLMbwAABkDsEuQskw3nm0uqrCRbYhsXyT9ngy9u6KbqoXtioxQrwDAJAtBLuIJrd4x6rV5sKF\ntvgEvkmxbPq+MmM9MkogcI0FAIAMIdiJgKziHatUVc+e35U4nG9SHJd6YE9s9QVhqxI1xDsA\nAPlAsBMN+cQ7L8OYZxZ1DE+91ua4lKMHhl44I2hRoocBPAAAOUCwE5mIiHdeL+X1hnQLnEJR\nO6PQknp9Tzlu2InDiWdOhHSjMoGEBwAgYYzQBUAg+GwX/s9musPKnD9Nt7cTQrzRMZ6Ro71D\njCHaFkdR9fmzOKXSNw+beOa4wuNuGpdHKCpEG5UV3/Ej/L8KAAAQJBixE7Ewj95RDrvy8L9o\nSxvhvITz0laL8tC/qK7OUG6SapiUfzVntK8j/sKZlCP7CceFcKPygwE8AADJQLATvbDFO6bq\nIuV29+yhvCxTFeL74lLUpfGTm0eP93XEmi+mHthDIdsFG6ZoAQAkAMFOIsKQ7ei+BufozlCO\n2F3XPHrCpQlTfDOwxnpz+r4yimXDsGkZQsIDABAvBDvpCPXQnZfp44xMjlGGbos9Xc3Obcib\n5st20U31poodCo8nPFuXJyQ8AADRQbCTmtDFO++w4X52hkhbRnZ9/izuerbTX72cUbFd4XaF\nrQAAAIAIh2AnTaGId+zwVNZ3bzm+JzHJkxbWCyotqRm1M4u8tIJv6lqumHaXKpyOcNYAAAAQ\nsRDspCzo8c49doJr6gxPZo7HlO2aPM3d47y3sOkYllIzq8g3L6y1tGaWlTB2W5jLAAAAiEAI\ndtIX3GznNcZ5MnM8WSO9cUODuNoB6UocXj17PqtU8U1NhzWrrETV3SVUPQAAABECwU4WIuL7\nKoLKFp9QXbCAVWv4pqqrM2vnFo21XdiqAAAAhIVgJyMSi3d2Y1xVYbFHq+ObjMNu2r1N224R\ntioAAAABIdjJzqhRo4QuIWgc0TGVhcUufRTfZJyOjLISXVuLsFUBAAAIBcFOjnJzcyUzdOeK\nMlQVLXIaYvgm43aZdpdGXW0WtioAAABBINjJl2SynVurqyoqtscY+SbtcY8o3x59uVHYqgAA\nAMIPwU7WJHPWnUetMRcV22Lj+SbtZdP37hpSXyNoUQAAAOGGYAcSGbrzKFXVBQu6hibyTcrr\nTT1QEV15XtiqAAAAwgnBDgiRytCdl1HWzJ7fkZTMNymOS9hXFn/xrLBVAQAAhA2CHXxHCtlO\noaidWdSeOuJam+OGHTuYePakkDUBAACEC4Id/BsJDN1xNF2fP7stI8vXk3j6WNKJI4TjBKwK\nAAAgDBDsoA+iz3YU1ZA3vSVntK8n4cLp5KMHkO0AAEDaEOygb6IfuqOopvGTW/Om+Triqi+k\nHthDIdsBAIB0IdhBf8Sd7QixjJ14eVyer2msN6ftL6e8XgFLAgAACB0EO7gFsQ/dXR01tnFS\nPqEovhnTUDti706a9QhbFQAAQCgg2IFfRJ3tWjNH1ufP4q5nO8Plpozy7Qq3W9iqAAAAgg7B\nDvwl6mxnSc2omzaHo68d8PqWKxm7tzEul7BVAQAABBeCHQyAqKdlrSnp5jnzvYySb+osraad\n3zJ2m7BVAQAABBET5u1ZLJZ33333+PHjTqdz5MiR999/Px8UPv3007///e++xWia3rRpU5hr\nAz9lZGSYzWahqwhE19Ak8+y5I/bs5OdhNZ0dmWUl1QUL3Tq90KUBAAAEQViDHcdx69at6+jo\neOaZZzQazRdffPH888+/8cYbsbGxDQ0NU6ZMufPOO8NZDwRMvNmuOz7RXLBwRHkpPw+r7urM\n2rW1umChM8ogdGkAAACDFdap2NbW1hMnTjz22GPjx4/Pycl55plnOI47cOAAIaSxsXHixIl5\nPYSzMAiAeOdkbca46rm3ebQ6vqm0dWfu3KK1tgtbFQAAwOCFdcTO6/Xec889mZmZfNPj8bhc\nLo7jOI5rbGw8duzY559/7nQ6c3Nzf/zjHycnJ/ue+Ic//OHChQv8zykpKb/4xS+CXhtFUTEx\nMUFfbQSiaTpYOztx4kRCyPnz5we/qhChKEqj0fTxgFbbULwkpXQz091FCGGcDtPukqb5tzvi\nhoa7xCChaZoQ0vfODlqk/WowDBMVFSV0FeGgUCgIIQaDgZPBjbUVCoVCoZDJnhJC9Hq9THZW\npVIF8KfJjRsXBIoS6sByOBx/+MMfzp8//8c//tHr9d533335+flLly5lWfajjz5qamr6y1/+\notNdG1N55JFHDh8+zP+ck5PzwQcfCFIz3MzZs2eFLiEQTHfXsK1fKTusfNOrUl2ef5sjcbiw\nVUWg3NxcoUsAAHlxOp1qtVroKkRJgGDHcdzOnTs3bNiQmJj4q1/9asiQISzLWiyW2NhYftSh\nq6vr/vvvf/LJJ4uKivpcQ0tLS9Crio2NbWtrC/pqI5DRaKRpurW1NbirjcxT7nQ6nd1u7+cg\nZxx2U/l2jdXCN70KpnZGYWeS+LKdVqtVKBTd3d2h+I2OtGn3mJiYrq4ulmWFLiTkDAaDWq22\nWCwy2VmHwyGHcRq9Xq/Vaq1Wq0x21uPxOJ3OAJ4bHx8f9HrkINxXxVqt1jVr1jQ3N//nf/5n\nQUEBn+QUCkXP9y8qKiohISEU6Q1CR6SXU3g02urC4hHlpTpLKyGEZj0j9u6sy59tTUkXujQA\nAIABC+vFExzHvfjii3q9/o033igqKqKv3y32wIEDTz31VEdHB9+02+0tLS0pKSnhrA0GT6R3\nufOoVOaChd3xCXyT8nrT9pcba6uFrQoAACAAYR2xO3HiRGVl5c9+9rPKykpfZ3Jy8tixYzs6\nOtatW7d06VKVSvXJJ58kJiZOmTIlnLVBsIhx6I5VKs1z5qfvKzNcbiKEUByXemgv7XG3Zo4U\nujQAAIABCGuw4z/v169f37PzkUceueOOO1avXv3Xv/51zZo1Go1mwoQJP/3pTxkm3NPEECxi\nzHZeBVMzc27agYqYhlpCCOG45KMHFB7PlZFjhC4NAADAX4JdFTsYuHhiMEJ08cSNIiHb3fLi\niV4ojks5uNdY9908bPOosc1jJ4WmumDCxROShIsnJAkXT/gJF08EBt8VC6ESaWnAHxxF1U+d\n2XMGNvHcqeHHDhIR/v8DAAAyhGAHISTGbEcoqnFSfs8Z2PjKc6lH/kUh2wEAQMRDsIPQEuml\nspfH5fWcgTWaK1P3l1Ner4AlAQAA3JK/wc5qtT744INpaWnxN8jJyQlpiSABYsx2zaPGNuZN\nIxTFN4c01I7Yt4uWwalOAAAgXv5eefrMM8+89957xcXFycnJ1PWPOh7/tXcA/RPjpbKtphyW\nYVIP7uXnYQ2XGjPKS2tmz2dxyTYAAEQkfz+fvv7667/85S+PPvpoSKsBaRNjtmtPM3kZZfr+\ncoplCSH6lisZZSXmOfNZlfS/xJByuxRVF2hLm273NjY13TljDtHqhC4KAAD64+9ULEVRixcv\nDmkpIAdinJPtGJ5aO73AS18bmdZZWk27tzFOh7BVhRrldqv2lTN1NXRHh6L5surwfv37f6Wk\nvtcAAGLnb7ArKCg4fPhwSEsBmRBlthuWYp7z3Qystt2SuWur0tYtbFUhxVRdoBx2QgihCKEI\nIYS2tqv27ha2KgAA6J+/we6///u/X3/99W3btonxhsYQacSY7bqHJpoLFnqUKr6p7uzILCtR\ndXUKW1XoUJY+bmGtaKgLfyUAAOA/f8+xW7VqldvtLi4uNhqNaWlpvb7v69ChQyGoDaRMjOfb\n2WLjzYXFGeWl/Dysqrsrq6ykes4CR3SM0KWFwL9fI3Wtj8YNkgAAIpq/wc7hcMTExCxatCik\n1YCsiDHb2YcYq4oWmcpL+XlYxm4z7dxinj3fHie1r77xxg2lO6y9Ot3pJkGKAQAAP/kb7LZs\n2RLSOkCexJjtnIboqsJiU3kpPw/LuF2miu3mWXNt8QlClxZMrClbcfUK1dXxXc/QRPf02QKW\nBAAAtzSw23F5vd7a2tqqqiqPx5OTk5Oeno6b2MEgiTHbufRRlYXFpvJSTYeVEKJwu0wV22tm\nFHYlDhe6tKDhFArX9FmKWjNlafXExbFpI9x5+Rxu4AcAENkGcMZMSUnJxIkTTSbTwoULb7vt\ntszMzPHjx5eUlISuOJAJMV5L4dHqqgoX2Y1xfJP2eDL27opuqhe2quDiaIUnI8udN82+/Ieu\n/JlIdQAAkc/fYHfw4ME77rijtbX1xRdf/Oyzz7744ouXX37ZarXecccduA0KDJ4Ysx2rVlcX\nLPDNwFIsm76vzFgvstFHAAC4pdmzZ8+eLY5zUfz9F/z5558fPnz44cOH4+OvnSS+dOnSRx99\ndPLkyc8///y3334bsgpBLsQ4J8sqVdWz54/YVxbV3EQIoTgu9cAeyu1pM2ULXRoAAMiRvyN2\nx44dW7lypS/V8eLi4u69996jR4+GoDCQIzGO23kZxjyzqGN46rU2x6Uc3T/04llBiwIAAJny\nN9j1c19i3LIYgkiM2Y5TKGpnFFpSr1fOccOOH0o8c0LQogAAQI78DXaTJk364IMPWlpaena2\ntbV98MEHeXl5ISgM5EuU2Y6i6vNn9ZyBTTxzfNjxQwT/9gAARJg9e/YUFxfHxsYOHz78nnvu\nqampIYS88sorFEVdvHjRt9jVq1cZhlm1apVghQbE32D30ksvNTY2TpgwWfuIywAAIABJREFU\n4eWXX960adOmTZteffXVCRMm1NfXv/jiiyEtEWRIjNmOUFTDpGlXs3N9HUMvnk05uh/ZDgAg\ncnz55ZeFhYWXLl1atWrV3XffvXnz5vnz53d0dCxbtowQ8sUXX/iW/Oyzz1iW/eEPfyhcsYHw\n9+KJ/Pz8f/7znz/72c9+85vf+Dpzc3Pfeuut/Pz80NQGsibGaykIRV2aMMWrVCWeOc53xFZf\npNyehvxZXF/f0AUAAOHkcrl+9rOfjRkzZt++fTqdjhBSXFx82223ffrppw8++OCYMWM+//zz\nX/7yl/zCGzduNJlM06ZNE7TkARvAjakWLVp04sSJmpqayspKjuMyMzNNJhNuUAyhI8psR0jz\n6PFepXLYicP8WJ2x3kyznrppczj8sgAACOro0aPV1dV//etf+VRHCCkuLv7973+flpZGCFm2\nbNnq1asbGxuTk5MbGxt37979/PPPU2L7t3xgX+mtUCgyMzMXLVq0ePHi7OxspDoINVHOyRJy\nNTu3YdI0cv3PQUxTfcbeXbTHI2xVAAAyV1lZSQgZPXq0r4em6V/+8pcLFiwghCxfvpwQsmnT\nJkLIJ598wnGc6OZhSf8jdv7fi6+ioiIYxQD0QaTjdm2mbE7JpBzYQ3EcISSquYn/SllWqRK6\nNAAAmXK5XIQQ5ibfozN27Njs7OzPP//8iSee2Lhx4+TJk0eNGhXeAoNgYCN2AIIQ6bidJTWj\ndmaRl742sK1ruWLaXapwOoStCgBAtrKysgghFy5c6Nm5du3aDz/8kBBCUdTy5cvLysoOHTq0\nf//+lStXClPl4PQ3YodxOIgcIh236xiWUjOraMS+Mn4eVmtpzSwrqZ6zwKPVCV0aAIDs5OXl\nJSYmvv7668uXL1er1YSQY8eO/epXv3rllVf4BZYtW/a73/3ugQceoGn6rrvuErTYAGHEDkRD\npON2XYnDqwsWelTXZmA1HdasnVtUXZ3CVgUAIEN6vf611147ePDgjBkzXnnlld/+9reLFi1K\nTk5+5JFH+AXy8vJGjBhx6tSpefPmDR8+XNhqA4Nz7EBMRDpuZ4uNN89ZYKrYwc/DqmzdWbu2\nVs9Z4IgZInRpAADyct999yUmJr766quvvfaaXq+fN2/e7373u7i4OP5RiqKWLVu2bt06MV42\nwRvA7U4AIoFIs53dGFdVWGwqL2XsNkII47Cbdm8zFyywxxiFLg0AQF6Ki4uLi4tv9mhXV5da\nrf7+97/fs1NEA1g4xw7ER6TZzhEdUzl3sWn3Nn4elnE6TGUl5lnzbHFDhS4NAAAIIcRqtW7c\nuHHJkiUxMTFC1xKgwZ5j9+677z700ENBKQXAfyI9386l01cVFjsN0XxT4XKZyrdHXb0sbFUA\nAMCy7DPPPLN48WKr1frUU08JXU7gBjAV+/HHH5eWltpsNl+P1+stLS3Nzc3t51kA0JNbq6sq\nWpSxu1RrtRBCaI97RPmOuhkFHcNShC4NAEC+OI77+OOP7Xb7H/7wh4KCAqHLCZy/we6tt956\n5JFHDAaDx+Ox2+0pKSlOp/Pq1avJyclr1qwJaYkAfRLphCwhxKPWmIuKR5Rv17W1EEJoL5u+\nr6x+6qz21BFClwYAIFMMw9TX1wtdRRD4OxX75z//edy4cVeuXKmpqVGpVF999VVzc/O3337r\ndruHDRsW0hIBbkakE7KEEI9SVV2woGtoEt+kvN7UAxVGc6WwVQEAgNj5O2JXVVX1+OOPazQa\njUYzbdq0AwcOTJo0afHixd///vefffbZDz74IKRVAtyMeMftvIyyZs68tH27oy81EEIojks9\n8i8F62nJEt832AAAiMLZs2dDsdqIOifN3xE7mqaNxmv3ZZg8ebLvgtn8/Pw9e/aEpDQA/4h3\n3M5LK2pnFH43A8txw48dTDx3SsiaAACki+M4V1C53W6h96k3f4Nddnb2pk2bnE4nIWTixInf\nfPONx+MhhFRXV7e3t4ewQAA/iDfbcTRdnz/bkpHl60k8dTTp5BEBSwIAkDBvsAm9Q735G+ye\nfvrpAwcOZGVltbW1zZw502q1/vjHP37jjTfefvvt/Pz8kJYI4A8RZzuKqs+b3nMGNuH86eSj\nBwjHCVgVAACIkb/B7t577/3kk0+mTJni9Xqzs7PXr1+/cePGVatWKZXKdevWhbREAD+JN9sR\nimqaOLV51FhfR1zV+dSDeylkOwAAGIgB3KB4+fLlX3zxRXx8PCFk1apVra2tJ06cqKysHD9+\nfMjKA5CR5rGTLo/L8zWNddVp+8upyBvnBwCAiBX4N09ERUWNGzdOrVYHsRqAQRLxoB0hhJAr\nI8c05k0jFMU3YxpqM8q3056IOzkXAAAi062DndlsfuGFF/jLYFevXs3cYMWKFaGvE8BfQcl2\nLS0tg19JYFpNOfVTZnLXs13U1csZFTsUkXfhFQAARKBbBLstW7aMHz9+9erVra2thBCv18uy\n7KpVq+bOnatQKFiWXbt27WuvvRaWUgH8JfZsZ0k31U2bw9HXfj31LVcydm9jXC6h6gEAALHo\nL9jV19d/73vf0+v1mzdvXrJkia9//fr127ZtO3r06NixYz/99NPk5OTQ1wkwMGLPdtaUdPOc\n+V5GyTd1llbTzm8Zu63/ZwEAgKh5PB6Kog4dOhTwGvoLdq+++qrL5dqyZcvtt99O072XHD16\n9MaNGw8dOvT2228HvHmA0BF7tusammSePZdVXst2ms6OzLJtSlu3UPUAAMgIyw5yBbt376Zp\nOvwfIv0Fuz179ixYsGDixIk3W2DMmDHz5s37v//7vxAUBhApBMx23fGJ5sJi9volSuqujqxd\nW9VdnULVAwAgbRTL0udOK7Z9w2z9mtmxla6pCuyWou3t7ffddx8nxC2r+gt2VVVVo0eP7tmT\nn5//xBNP9OwZPXr0mTNnQlIawKCNGhWc710VMNvZhsRWFS7yaHV8U2nrzty5RWvF170AAAQf\nfeIIXX2RcrsIIcRhp8+cpKsuDHQlHMc99thjCQkJPTubm5tXrFgRHx+flJS0atUqp9P59NNP\nFxUV+RZ46aWXcnNzB58FmX4eU6lUV65c6dlz++2333777T17Ghsb2UEPV4LMKS41MufP0N3d\n7NCh7vF5nEYbxJVnZGRUV1cPfj0tLS38TRzDzxEdU1W40LS7lJ+HZZyOjLKtNXMW2IxxQdwK\n5XYrGuuozk5OrWYThnFDhgRx5QAAkYOx23K+/MjfpQ/tJYf23tjNqlTnv7+yz2ds2LCBP1Ft\n7ty51xZm/3/27jtAqvLeG/hzzpne2/bCFtilg1IXAVGasaAiYkQsieZqvNc3tuQ1lpiLicEb\njPeSNwlqErxoEKNoJBoFlCooRZHOdljYPr2XU94/Bpdhd1lmd6ftzPfz1+4zs2eeA7uz333K\n7+Hmz59fUFCwadOmurq6J554QqPRLFmyZPXq1Z2dnVlZWYSQd955Z/ny5dR3JREGrK9gN2rU\nqK+++orn+Z4L7MJ4ng+fMzbITkAmkxz4Urpja/hjESGS/V967/oBH9PIUlpa2tjYOPjrJDHb\nBVSaujkLy3ZtDc/DioLBsp1bTs+4xp2dG5PrU16PZP9eKhgIfyo6Xc+OGMWWlsfk4gAAmaOh\noeHRRx/95JNPIrPTJ5980tDQsHPnTr1eP2PGDK/Xu3fv3qqqqpycnE2bNt1///3Hjh07fvz4\nsmXLBt+BvqZi77jjjtOnT//mN7+51BNefPHF06dP33bbbYPvB2Qm2twh2b09soXyeeX/+jDm\nLxSrwsVJnJMNKZT1cxb6tecH0miWLdmzXd3WEpOLi48d7kp1YaLak7TLGZOLAwBkCJZl7777\n7scee2zq1KmR7ceOHRszZoxerw9/+tBDD61bt46m6cWLF7///vuEkA0bNsyYMSMmv6r6GrF7\n6KGHXn311V/84hder/epp55Sq9VdDzkcjt/+9re/+c1viouLH3300cH3AzKTqKGO4thujXTL\nOcrrERTK2L5WGozbsTJ5w9ULS3Z/prBZCCE0x5bs3d40bZajoHgwl6VCIdpu7dlOd3bwas1g\nrgwAkIIEkdg8alwvD3AcffYM4S9eYCaW8EXDerkI00uC+p//+R+z2XzLLbecOnXq9OnThJDa\n2tpQKBQKhUSiXp6/ZMmShQsXOp3ODRs2PP744wO5mR76CnZSqXTz5s233377iy++uGbNmilT\nplRWVnIcV1dXt2/fPrvdPn78+HfeeUejwVs/DBB1icOyKJZNwlaiqCUz20kkjbPnl+zZpjR3\nEEIoni/+ate5yTP8I8cM/KKXWibbI3MDAKQBTizumDC514eogmH0oQNUV7aTyLipVYJGG+WV\na2tra2pqxo27kBpnzJhx77333njjjatWrXK5XOExsvXr169du3br1q2zZs3SarUrVqw4c+ZM\nrM7xuszJE0VFRV9++eX69etLSkp27ty5evXqP/zhDzt37iwuLl6zZs0333wTq12HkJm4nLye\njYJCyavUPdsHL4YnySZxTpYTixtnzXXl5oc/pQSh6OBebfXxAV9QkEoFiaxnO6/B/gkAyCxC\nTi539Tx+5Fi+pIwfM4GbMzf6VEcIWbNmjfCdAwcOEEI6OzvfeOONRYsWZWVlLV++/MCBAx98\n8MHTTz8drjrCMMytt976yiuvXHfddbEaL7j8WbEURd15551ff/21x+NpbGxsaGhwu92HDx9+\n8MEHGYaJSScgY7FlI9iy7ptvAvO+Ry6xX2fw0iPb8Yzo9IxrLszACkL2/j26o4cGeDmKYkd1\nH/DjTVl8ds4g+ggAMDTJ5XzZcH70eH5YqfDd8T+DJJFItm3bRghZsGDBww8/fPPNN69cuTL8\n0JIlS3iev+uu3jfYDkBfU7Hd0DRdUlISqxcGIIQQivIvWiL58gvRqWOUx81n5QSnz2SHV8b1\nNWO12I58l+2SMi0r0HTT9NmFB/bqm84XczF8/RXr9bSNuWRF8T5wOXnCFVPEDXXE5SRSKZeb\nz5UOJ4PedQ8AkLEmT54cWZSuuLj4ww972Rro8/lUKtWiRYvCn4pEokGWsutHsAOIB0EsCcy+\nNjD72kS+aAyzHUnekjuBos5OmcGLxcb66nBL9smjdCjUMmHyADIZn5UTyMIQHQBAgrAs6/F4\nVq1adccddygUilhdNl4TXgAZJWnTshTVfMXUjsoLE6mmulNF33xFJeMcGwAAiN7Bgwd1Ol3f\ndeUGAMEOMlQMF9uFJXHJXdu4Ky0Tp3R9qm+sK9r/BcXzyeoPAABc1pQpU6qrqxsaGsInT8TK\nkJyKlcl62cE3SBRFxeOyKSh8XEnm3KxUKr3Uo6NGjaqrq+v1oYFtDLLZbN0OB0wY2/griVRq\n3L8nfF617uxpEc83z7yGp2OwwynVvltompZKpXwGJNfw92Hm3KxEIsmEPXnhemaZc7MURQ3g\nmKxMOK2UYZiKioqYXzaqYHfgwIHbb7/9Zz/72cMPPxzzHgxAnH4YMuFnjHwX7DLnZvu+08rK\nytra2l6/cGCv2NnZmZOThJVqFEU5Ro0LUXTOvt3heVhVc1PRjq3Nc+bzg97VlWrfLRRF0TQ9\n+BMVU1/4HjPnZi91fGWa6fpvTXZHEiH83zqA95BBbiDIZFEFuzFjxpjN5p07d6ZIsPN4PDG/\nplQqjcdlU5BEIqFpOnNu1uv19v0GkZ+f33MjBcsOvDZvc3Nz4vdShN86O4tKgoJQdGBPeB5W\n0d5SsPXj07PmsmLJYC6eat8tIpHI5/Nlwh/04f/WzLlZv98fCvVetDydKJVKkUiUOTfLsmwg\nELj8U3uIPO8KohfVXwwKhWLDhg1btmxZu3ZtJry/AAxSEtfb2YtKzlRd3TUDq7CaS3duEQX8\nyeoPAAAkUrRr7N54443S0tIf/vCHjz32WEFBgVwuj3z04MGDcegbQILEtvpJWBKPHXPmFTbO\nmluyZxvDsoQQud1WvmNzw6x5oVgfvwsAMLQMG9bLqa+DlGqzxtEGO7fbnZ2dvXDhwrj2BiBZ\n4pTtSJLKF3uychpnzy/Z/bkoFCSESF3O8p1bGmbNC8bnrDYAgCGhqakpHpcdNWpUPC47MNEG\nu08//TSu/QBIunhkO5K8oTuvwdRwzcKyXZ+J/D5CiMTjHr5jc8OsuX6tPvGdAQBIBYIgBIPB\n2F6zj9oLSdG/XTkul+uzzz57++23W1tbfT7fYBaYA2SOZC2582t09Vcv6JqBFfl9ZTu2yC1J\nW/8HAJB0Qkwl+2560Y9g99prr+Xn58+fP3/ZsmXV1dX79u0rKip666234tc5gASLedXiLsnK\ndgG1pv7qBV0zsKJQsOyLzxXmjqR0BgAA4i3aYPfRRx89+OCDkyZNeu+998ItFRUVY8aMufvu\nuz/++OO4dQ8g0dIv2wWVqro5C7tmYJlQsGz35+r21qR0BgAA4iraYLdy5cqxY8du3br1tttu\nC7fk5+dv3rz5iiuuWLlyZdy6B5AE6ZftWJm8fvZ8n94Y/pTm2JK92zUtZ5PSGQAAiJ9og93h\nw4eXLFkiFl9Uwp5hmBtuuOHo0aNx6BhAekpWtuOk0obZ87ym8yeeURw37Mud+rOx3ywCAABJ\nFG2w0+v1fn8vNU5ZlkVtaEg/cd3HajabkxLvOLGkYdZcV05e+FNKEIr27zHVVSe+JwAAECfR\nBrtp06atW7fOarVGNra3t7/xxhuTJ0+OQ8cAkizeNUqSku14RnR6xjXO/KLznwtC/uEDWbUn\nE98TAACIh2iD3UsvveR0OidOnPjrX/+aEPLpp5/+/Oc/HzNmjMvleumll+LZQ4CkSctsJzDM\nmaqrbUXfrSMUhLzDB3NOHEl8TwAAoBuWZSmKGsyBXtEGu7Kyst27d5eUlDz77LOEkJdeemnl\nypUTJkzYtWtXRUXFgF8eIMWlZ7ajqLNTrzIPr+xqyTlxuODQfpKSNZkAABLMyjob/C0uzjuw\nL1+7du3kyZPVavXcuXNPnToV275dVrQnTxBCJk6cuGvXLovFUlNTI5FIhg8frtVq49czgAyR\nnKMpKKplwhSBZrJqToQbjPXVlMCfu2IaoahEdwYAIDXYOPf6zi01vvNFA6aoRt5uvFZKi/v+\nqkhr16595JFHVq9ePWzYsBdffPGmm246efKkSNSPuDVI/Xulzs7OLVu2NDQ0cBxXXl4+b968\nvLy8OPUMIEWYTKZ4j6sl51RZimodP4mTynKPfhNuMDTU0qHQ2SlXCXT/zqQBABhCWMLVss09\n2znCb+jc2hq0dk1nbvd+207s1+urej6ZJnSlqLBbI8/zv/nNb37zm9/88Ic/JISMGDHi8ccf\nP3v2bGlpaXt7+yOPPLJt2zaRSLR06dLf/va3Tz311KFDh3bs2BH+2hdeeGH9+vVHjgx2YUw/\ngt2LL7744osvejyerha5XP7000+HJ2cB0lgCsh1J0tBdR+UYgaLyjn4TnofVnT1NcVzTtFkC\nwyS4JwAAiWHj3XfZL1GCV0zIxcNzh8iZv9l39nyimpLvNL7crfHUqVO1tbWLFy/mOM5sNhcV\nFYWPdeA4bv78+QUFBZs2baqrq3viiSc0Gs2SJUtWr17d2dmZlZVFCHnnnXeWL19ODXrOJNq/\ny9euXfvMM88sXrx47969ZrO5paXl448/njBhwnPPPbd27dpBdgIAwpKy5K6zYvS5K6Z2zcBq\nW86W7t1B4yRoAIB+OnfuHMMwf/vb33Q6XW5ubkFBQTjYffLJJw0NDevXr58xY8Y999zzwgsv\nNDU1VVVV5eTkbNq0iRBy7Nix48ePL1u2bPB9iDbY/elPf3rooYfWrVtXVVVlNBrz8vKuv/76\nbdu2jR07ds2aNYPvB0CKS9hYWlKynbWsomnKVcJ32U7V3lL2xedMKJj4ngAADF1ms5njuL17\n9x49etRut//Hf/zHsmXLTpw4cezYsTFjxuj15492DAcqmqYXL178/vvvE0I2bNgwY8aMmJx7\nFO1U7KlTp373u991a5TL5YsXL+7ZDpCWEjMhS5K05M5eXCqIRMX7dlMcRwhRmDtKd25tnDWP\nk0oT2Q0AgHjT0IqX1A/0bOcI/w/Lrm6bYfMlpgW6qT2fLCK9rFcJT6r+8Y9/zM/PJ4T8/Oc/\nf/XVVzdv3hwKhXrdP7FkyZKFCxc6nc4NGzY8/vjjA7udHh2Lzvjx41tbezk1vLOzs7Kysmc7\nQFpKWLYjyVhy58gvapwxp+TLneF5WIXdWr5zc8OseYnsAwBAvEmJeL70yl4fGmca9kb7vzpY\ne/jTMmneD0w3aBhllFceOXIkRVF2uz0c7FiW9fl8Op2uqKho1apVLpcrfFjX+vXr165du3Xr\n1lmzZmm12hUrVpw5c2bp0qWxuLmog90jjzzy1FNPXXnlleXl5V2NO3bsWLt27R//+MeYdAVg\nUHxeUVsLCYW43HxBkyaFeBKf7dw5+Q2z55d88bkoGCSEyJyO4ds/DeXn8zp9IrsBAJAUBZKs\npwqX1/tb7Jw7W6wvkeb268uLioqWLFmyfPny//qv/9Jqta+88opIJFq0aJFarc7Kylq+fPmz\nzz577ty5p59++uabbyaEMAxz6623vvLKK9dff32s3u2jDXYul6ukpKSysnLevHkVFRUcxx09\nenT37t35+fn19fWRG2N/9atfxaRnANETH/tWum0zFQgQQgSGCU2pCsy6Nk6vlchBO5KMbOc1\nmE7Pnl+6+zMmECCESLwe8TvrPD/8sSCWJLIbAABJwVBMhbzo8s+7hDfeeOOxxx77wQ9+4PF4\nZs6cuWPHDqPRSAjZtm3bI488smDBAplMtnTp0pUrz2/LXbJkyWuvvXbXXXfFpveEUEJ0teaj\n338b5QUHIx6/Vg0GQ7eTcNOVXq+nadpisSS7IzFDtzQrNvwvxV20i9N/3U2hcVfo9Xq73T6A\n78nGxsa+n5D4LQ59xzu5XM4wjMfjidUPoNTlKNu1VezzEUIC1ywITp4ek8vGhFardbvdHMcl\nuyNxp1arpVKpzWbLkJv1+/2hUCjZHYk7pVIpl8sdDkeG3CzLsoFAYABfG4+/aU+cODGwzlwK\nRVFSqXTUqFEDvsKmTZvuuuuu9vZ2hUIRky5FO2KXgLgGMDCSwwe7pTpCiPib/aFxV8TvRaMZ\nt6OCQdpqJsEgEYt5nUGQywfzigkeuguotfXXfK9s11ZryXDl5Ok+PvCXzo+/9laLKdEc9RV3\nGK5lKBQxBgAYOJZlPR7PqlWr7rjjjlilOtLfkycAUhDtcffS6HIlvieRKI+baTpNffcXEW2z\ncnkFvN4wmGsmONsFFcrauddzYomJ8y6oebzOf75Q+we2Xf+w795Q9jyNbAcAMFAHDx6sqqoq\nKirauHFjDC+L92UY8nh1L1sleK0u3q/bV8YSBKb5LHXxODfd1kINeubFbDYnchaYE0sIIb9u\nXdeV6sK2O79Za/5XwroBAJB+pkyZUl1d3dDQEC6SEisIdjDkhSZNFXrUBwpNnZGAl75UtqMC\nfqrHyQ2UIBBvL4OLA5DgFX6fOb7u2fi585tE9gEAIM0wDFNRUdFrfbvBQLCDIY8zZftvXCwo\nVeFPBbEkcM2CUOXoxLx679nuEmtSqdgtVU3k0B1Lelm532sjAAAkF9bYQTpgR4z0lA2nOzsI\nx/GmbCHphyVIZQJNUXz3HDfI/RM9JWbV3SRFRXOws1vjZAUqkwMApJz+jdh17Y1lWfaf//zn\nhx9+6HA44tArgH4TGBGXm88VFCU+1fWMVgJN8zn53Rp5o0mQymL+6gkYuvtlwQ+1FxdeL5cW\n/HvO4ri+KAAADEC0I3Zut/vRRx/dtWtXTU2NIAi33HLLxx9/TAgpLS3dvn37sGHD4tlJgFTX\ns/oJrzcIIhFjMZNggIglvE4/yC2xfWtvbw+fYBMPRZLsz0b+98qWtw54Tklo0RzVFT/Nu1NJ\nxz6kAgDEVTwOQU21enDRBrvnn3/+L3/5y+23304I+fLLLz/++OP7779/0aJF9913369+9avX\nX389np0EGJIEtYZVaxL2cq2trcFgMFziPOZKJLlrSp6Mx5UBABImPDgV22tSFDWYAsUxF22w\n27hx4w033PD3v/+dEPLRRx9JJJJVq1bpdLpbbrnl888/j2cPAZLDJrj1lCr65yf4qLFLSfwR\nZAAAQ4UgCPE4eSKGFxy8aNfYtbW1TZs2LfzxF198MXXqVJ1ORwiprKxsaWmJV+8AksHL+w8G\na25wPPes541arvnyX/CdQSYqjvAuzssRfjAXIQmvdQcAAKkj2hG7goKCb7/9lhBy9uzZPXv2\nPPfcc+H248ePx7awHkASWVnnM82vb7TuzA5pWDG3JfTN1tChKvGoe6TzrhQNj+YKAxu3Cwnc\nEW9dY7CNEIEQqlSSO14xXEwx/b+DCzB0BwCQgaINdkuWLHn55Zd/8pOf7N69WxCEpUuXejye\nV1999b333lu0aFFcuwiQGAIRfnz65W2ubwghHWJnV+Pe0Im9oRNjmZJ7ZPNmi8bG4xytrz3V\n50IdXR1pDLaGBHa6aswgLxuOmIh3AACZI9pg98wzz5w6dWr16tWEkBUrVowePfrUqVNPPPFE\nSUnJihUr4tlDgAQ54DkVTnWEkEpf3jmJxc1cWIpxjDv9M8+fS+icu2VzrxNPFlOX/Nnp76Cd\nk/NEpLrzzoU6HZynW5GRgUG8AwDIHNEGO41GE65aR1GURqMhhOTm5m7dunX69OkqVT8WmAOk\nrIbAhdWiWaw6i1XbRJ5zEpud8XS1n+bbX/Cuf5X+1zLpNbdIZiio3tfM9ivbuTnfJdq9MQl2\nYYh3AACZoH+TSjRN79+//+23325tbZVKpXPmzEGqg7RhYLqXJtGzynHewlWyB64RT4icge3g\n7f/t++Am5y/W+D+28YM9/lVCi3ttl9KSQV65J+yrAABIb/0Idq+99lp+fv78+fOXLVtWXV29\nb9++oqKit956K36dA0ikmepxRZLsbo1FkuxZsnEvKe//u/rpmyU2EFiRAAAgAElEQVRVkogZ\nWJfg+6t/882uX67yvdfCW7p9YfRjYwaRRk13G5kT1LTCIFL39xaihHgHAJCuog12H3300YMP\nPjhp0qT33nsv3FJRUTFmzJi77747fAQFwFCnoGWvl/wsT3yhwG+2SLfcuIAiFCGkmM5+RnHn\nB+rnl0vnRs7A+oXg3wO7bnO+8Jznf+v4i0r/RJntaEJNV41WRBzkoKDl01Vj6H4OqPcX4h0A\nQKphWZaiqIMHDw74ClSUJZhnzpzpcDi++eYbsVhMUdT27dvnzJnDcdyUKVOUSuXu3bsH3IMB\niMdvI4PBYLVaY37ZFKTX62matli6jzClJb1eb7fb+1Vn3MP7P3MetDZ1mETakbJhot5qjrgE\n38bAFxsCO6yCK7KdItQM8ei7pXMja6NE+e3KE741aPHwfiUjyxUbmX6mOolEQlFUMBgcWFH1\nvjNoaWnpAK4ZP1qt1u12cxyX7I7EnVqtlkqlNpstQ27W7/eHQqFkdyTulEqlXC53OBwZcrMs\nyw6sJnA81gSfOHHisp3heKrVQXtDlEYm5Kg5iurryeECxZEnT7S1tf30pz/dsmULy7Jz585d\ntWpVcXFx9D1kWVYsFh84cGDy5MnRf1WkaDdPHD58+MknnxSLL1oMxDDMDTfc8Pvf/35grw2Q\ngpS07GbdzEZbYx/PUVPy+2Tzl8mu+Wfwq7f825r589FNIMKe0PE9oeNjmZJ7ZfNm9ac2Ck3o\nAknSSkJiawUAACHE4qH31ou9ofNpTicXzRoeVEj68Qfz0qVLQ6HQmjVrRCLRyy+/fNNNN337\n7bdU3/EwpqINdnq93u/392xnWVatjtdKIIBUJiGi2yQzb5Vc9VnwmzcDn1dz57oeOsad/qnn\nz6V07t2yuQuNkxwWexL7GT3EOwDIBCxPV1sNPds5nhxrFQXZCy0+H/mkRhiZ28uQOU3xo4zd\nJ/p8Pt/u3bs3b968YMECQojBYJg5c2Z7e3tubm57e/sjjzyybds2kUi0dOnS3/72t0899dSh\nQ4d27NgR/toXXnhh/fr1R44cGeTdRRvspk2btm7dup/+9KcGw4V/i/b29jfeeGP69OmD7ATA\n0EUTaoFk0gLJpK/YU//r3/o1W9v1UCPftsL7tzX0x8vU18xyVcpJ7He5xkPX3DESHgCkpQDH\nbGsquuTDFw+uuYKkpamXZ0kZrmewk8vlM2fO/POf/1xcXCwSidasWTNu3LicnByO4+bPn19Q\nULBp06a6uronnnhCo9EsWbJk9erVnZ2d4RO83nnnneXLlw9+bC/aYPfSSy9NmDBh4sSJDz74\nICHk008/3bx58+uvv+73+1966aVBdgIgDUwXjZyuGnmcPbMu8NlO9igvnD/yNVwb5S8i+Y38\nlEX8VC1RJLef0etKeKm2xg4AIGVt3Lhx1KhR7777LiFErVYfP36coqhPPvmkoaFh586der1+\nxowZXq937969VVVVOTk5mzZtuv/++48dO3b8+PFly5YNvgPRLgAqKyvbvXt3SUnJs88+Swh5\n6aWXVq5cOWHChF27dlVUVAy+HwDpYYxo2EvK+99RPb1IMj3ydAoX8b1N77pP9D9/pP/VTobG\nzGyXxu8kuyMAACnN7XbPnTv3uuuuO3z48LFjx77//e/PmzfParUeO3ZszJgxer0+/LSHHnpo\n3bp1NE0vXrz4/fffJ4Rs2LBhxowZMfkrOtoRO0LIxIkTd+3aZbFYampqJBLJ8OHDtVrt4HsA\nkH6GMdnPKpY9KNzwtn/H+8EvvML5TVgBEvqIPvgJ/c1sYczt/FUlQveyeSmuK9thDA8Ahi6F\nmL137Ime7QIhXzWILZ6LJkOHGflx+WzPJxPSy46KTz755PTp0+ESIoSQNWvWFBYWbtq0KRQK\niUS9JK4lS5YsXLjQ6XRu2LDh8ccfH9DddNePYBdmNBqrqqpi8toA6S2L0v4f+c0/kC14L7B7\nQ2CHTTh/RgVH+O3U0R3MscnC8Nv5q8YK/dgJnyIiR+8Q8gBgaKGIoJH0XvTk6vLg103ic3aa\nEEJRZLiJnVDIMlGXnwoGgzzP8/z5pTg8z3McFwgERo0atWrVKpfLFd5vun79+rVr127dunXW\nrFlarXbFihVnzpxZunRpDO6t72A3c+bMKK/yxRdfxKIzAGlITcl/IFuwTHbNPwNf/S2wPbI2\nygGq9gBTO0oovF24ahpfQZHE7YePIYQ8AEgbMrFwVXkwxFHeIFFJCUP3rzLoddddp9Vq77zz\nzp/97GcURa1evZrjuJtuuslkMmVlZS1fvvzZZ589d+7c008/ffPNNxNCGIa59dZbX3nlleuv\nvz5W+9XiW9oeAMKkRLxEOmuj5rlfKe4tE3IiHzpJnVtBv/MQ86et1LcsGdp1aBt7SHaPAAD6\nTcwIWrnQ31RHCDEajdu3bxcE4aabbvre975nt9u3b9+en58vkUi2bdtGCFmwYMHDDz988803\nr1y5MvwlS5Ys4Xn+rrvuilXn+xqxwzgcQGyFa6PMl1y5xbr/XWrPEep010NnKfMrzKa3yM5b\n+ekL+SuGSm2Uy+qZ7TCqBwBprLKy8oMPPujZXlxc/OGHH/Zs9/l8KpVq0aJF4U9FItHADhDq\n0u81dgAwSBShJvHlk0h5NdX8Lr3nS6pa+G4RbidxvEZvfpveNeRqo0Sv72E8xD4AyBAsy3o8\nnlWrVt1xxx0KRcze7S8T7CiKysnJaWtr6/vMssGcVguQgUwmk9lsrhQKnuWWniXmjczebdTR\nrnnYcG2U9+kvF/JXLBaqsoUM2n6OET4AyBAHDx6sqqoqKirauHFjDC97mWCXk5MTLoiMGvQA\nsRXOdoSQImJ6lFt0N3XNB9RXn9Bf+0gw/IQACW2i939MDl4tjF3CzxhytVEAAKAPU6ZMqa6u\nLisr67USyoBd5lptbW3hDz799NMYvioAdGMU1A8I87/Pz/qIPrCJ3m8nnnA7R/ht1JHtzNEp\nwoglXNVYMiy5/QQAgJhgGCYeRzxgjR1A0nQN2nVREdn3+VmLhaot5ND79FdtlC3cLhBhP1Wz\nX1QzSii8nb9qmjBUa6MAAEBc9RXsdDpdlFex24fYEUkAKaJntiOESATRjWTK97hJu6kT7zF7\nG0hb10MnqXMrmHeKhawl/Iw5wlgRYRLbXwAASGl9BTuHw0EIycrKmjFjRmwngAHgshhCzxHG\nXs2O+Zqqf4/eG1kbpYnq/B3z4Ztkx6389Ov4K2TpUhsFACDeKCqW0x2xvVpM9BXXHn744Q8+\n+KC1tXXPnj0333zz4sWL586dK5VKE9Y5gEzQ66BdF4pQk4Xhk7nhl6qNsoHefSM/+TZylY6o\nEtVlAIAhiaKotI8xVN918Hie37dv3wcffPD+++/X19er1eobb7zxtttuu+6665RK5QBez2az\nrV279vDhw4FAoLKy8r777gvXMuA47o033ti7dy/LslOnTv3Rj34kkVxyEKKP34IDZjAYrFZr\nzC+bgvR6PU3TFosl2R1JBL1eb7fbB1DsMfFHJkT5XX2WMr9H7d1OH+12RoWUiG+gp9zMTs3i\nNTHvW3I3xfcsd6LVat1uN8cN7VM6oqFWq6VSqc1my5Cb9fv9oVAo2R2JO6VSKZfLHQ5Hhtws\ny7KBQO8Hs/YN5TgG5jLBrosgCEePHg0nvCNHjshksuuuu27x4sU33nijXq+P8sUEQXjuueec\nTucDDzwgk8k++OCDI0eO/P73vzcYDK+99trevXsffvhhhmH+9Kc/jR49+vHHH7/UdRDsBgPB\nLhopG+zCLJTrferLT+lvumqjhDGEjkdtFAS7ZEGwS0sIdlFCsBuYaM+KpShq/Pjxzz///OHD\nh+vq6l544YX29vZ77703Ozt74cKFUV7EYrEcOXLkxz/+8fjx4ysqKp544glBEPbv3+/1ej/7\n7LMHHnhg6tSpkyZNeuihh3bv3h1e4QeQIfr1FmYU1D/iF/wv++jd3JzI0ynCtVH+nXn1l8zb\nx6mmOHQTAABS2kC2RJSXlz/55JO33HLLH/7wh9WrV2/ZsiXKL+R5/s477ywvLw9/yrJsMBgU\nBKGpqcnv90+cODHcPmHCBI7j6uvrr7zyynDLM888c+zYsfDHpaWlL7/88gC63TeapqMfehzS\nGIYhhGTOzUa/uTtSe3t7zDtzWcXFxV2VI6NhIJJ7ybzvk6s/Fb5+V9jTRiJro9TuZ2rHkOI7\nqFlV1MhB1kaJ4Vk3A9Dze5Wmaa1WO8jjFIcEmqYJIRpN7KfXUxBN02KxOHP+W9VqdYbcrCAI\nA3gPyYThzDjpd7A7ceLExo0bN27cePjwYZFINH/+/MWLF0f5tdnZ2XfeeWf4Y7/f/9///d9q\ntXrmzJlHjx5lGKZr0Z5YLFapVJETo16v1+VyhT/2eDzhn4qYi9NlU1Pm3OzA7jRZG50G8Loy\nIrmFqrqJTNshHH1H2F0vtHY9dJw0/UL4WwnJuYOadS01fsC1UZK77avn/2C4Pym4GS3mwveY\nIT+tmfbfSlFUJtwsGeidZsg/TjxEFewEQfj222/Dee7UqVMymWzhwoVPPPFEvxbYRV5t+/bt\nb731Vk5OziuvvBL+q6Xnf2HkmpJXXnkl8iGssRsMrLGLhsfjiUd/LkutVg/s21sikcylJswM\njTxI6t6l9xylznQ9dFpof0l476/ClsVC1cIB1UZJ1r9GWM/v1UxbY2e32zPkZjNqjZ3T6cyQ\nmx3wGru0374aJ30FO57n9+/fH85zjY2NarX6hhtuWLFixfe+9z2VaoCFFRwOx8qVK9vb2++5\n557Zs2eH/xI1GAwsy/p8vvBoLcdxHo8HqyYhM/Vd/aRvXbVRTlHn/k7t2UfXXKiNQjlfpTa/\nTe++iZ9ykzBFIyRzdhUAAOKkr2BXVFTU0tJiMBgWLVq0evXqefPmyWSywbyYIAj/+Z//aTAY\nfv/730dWSykuLpZIJEePHp02bRoh5MSJEzRNl5WVDea1AIauwWS7sJFC4S+EO84K3WujOIn3\nb/TOjeTLhcIVi/mqLCEjFm8BAGSOvoJdS0sLIcRms7355ptvvvlmH89kWTaaFzty5EhdXd3j\njz9eV1fX1VhQUGAymebPn7927Vqj0UjT9Ouvvz579uwMWd0PacnD+7c49jcEWgSBlMvy52un\nqGh54rtRJJgeExbdzc/5gP4qsjaKnwQ/pPZ9zByczY+5XbhqmJCV+L4BAEA89BXs7rrrrti+\nWLg22O9+97vIxgcffPCGG2544IEH/vrXv7744oscx02bNu2BBx6I7UsDJIyXD7zS9ncbd367\nT6vbcszX+ETuHQq6HwPegx+0u3ApovkRv+D7/KyPqAObmP0O4g23s4TbRh/ZTo5OEYYv5WeO\nFopi8nIAAJBE0RYoTinYPDEY2DwRjcEUKP7QtnuX+0i3xpmqcbfqZ/f3UtF/q0skEoqiwvWD\n+nhagIS20N++T3/ZTuzdHhojFC/hZ0wVRvSsjYICxcmCAsVpCQWKo4Sl9gMzkDp2ANCHxmAv\ntegaAi2J70lPUiK+iZ9yPT9pF3X8PXpvI3WhXN9xquk40zRMyLpduGo2P2bAtVEAACCJMqI8\nEkAi0b39WNHUQH7W4vQHK0Poa4Rx/4/7t//k7hwrFEc+dIbqXEX/437m9x/S+/wXn1cGAACp\nD8EOIMYqZIU9GytlxT0boxG/yQiKUFOEEf/F3fcy98PpQmXkDGwn5XyV3nwfs/pv9E7nd2vy\nAAAg9SHYAcTYXM2kfLExsiVPZJivmZys/lzWKKHwF9wdf+Iemi9MjJyBdVLev9E77xOtftm3\nsY23JbGHAAAQJayxA4gxMSX6Sc7tX7iP1PmbCSHl0oKZ6nFiauA/azHcIduHYiHrMW7RcnL1\nP5h9n1IX1UZ5J7BzY+CLBeIr75HNK2Py4t0TAAAYMAQ7gNgTUcwc9RVz1FfE6oKJyXaEkCyi\n/RG34Ptk1kf0gU30RbVR/hU68Eno4EzxmHuk8yaIUD8cACAVIdgBQHdqIr+Tn72Yr9pMH/qA\n/qqrNopAhN2hY7tDxyaKyu+RzrtKPLpnbRQAAEgiBDuAoSFhg3ZdpES8iJ96Az/5kKZpnf+z\nOv5CxZZv2fpv2frhTP7d0rnzJVeiNgoAQIrA5gmAISMp5ToZQl8nmfw3zf99RfXgRFF55EN1\nXMvz3jdvc77wTmCnX0BtFACA5MOIHQBcHkWoq0RjrlKNOcI2vhn4fDd7jBf48EOtvPVl38a/\n+DffLp21VDpbSymT21UAgEyGYAcwlCR+Qrab8aLS34oeaOTb1vk/2xz8miXnj7qyC+7X/Z+8\nFdh2s6RqmfSaXFo/4Jeo9Z874qv38v58sWmGamyMOp4gLE/tOyNrsorEjFCRHRqXH8AiRABI\nJAQ7gCEm6dmOEFJK5z6vWP6g7Ia3A9s/DH7pFc4fBOkTAhsCO94L7F4omXS3dO4AaqP8y/7V\n566vwx9/S+p2uQ6/UPTvwyS5sex93PhD1P/bretwnV9xuP+MbHy+5K4pLmQ7AEgYrLEDgAHK\npfWPyRdv0vznv8mu11GqrnaWcB8H99/pWvmE57UjbGP0FzwdaOtKdWFu3vdo0+9j1uM4+9cJ\nZVeqCzvSIv26SZqs/gBABkKwAxh6krKL4lI0lOIB2XWbNL98UrEkjzZ0tYdrozzgfuXf3P+z\nhz0uEOGylzrpP9OzcY/rqJvzxbLHcXOyXRJlIwBAnGAqFmBISoUJ2UgySrJUMvs2ycwtwa/X\nBT6r51q7HvqWrf/WXT+cyV8uvXahZDJz6b8nWYHr2SgQIUhChMjj0u+YCvXSfcLymIkFgMTB\niB0AxAxD6O9JpqxXP/U7ZS+1UX7pfWuxc8Xfg7suVRulWJLds7FEkmtgNHHpbqwV6diejcW9\nNQIAxAmCHcBQlVITspEoQs0Uj3lN9ZM/qx6bLR4XeTpFK29d5X3vZtcv/+z/1CF4un3heHn5\nCGlht8b/Kn447j2OkZvGeiTMRTPOWSpuVvnQmEcGgPRACcLlF76kmnjMQBkMBqvVGvPLpiC9\nXk/TtMViSXZHEkGv19vt9kR+kzc29mOvQEyEfxwkEglFUcFgMB43O8gE2cC1rvN/tiX0TVdt\nlDA5Jb1FUrVMek1ORG2UgBD63PH1YV9duNzJAu2UeSNndrugVqt1u90c19vEZ7K1uUSfnlCc\nsYokjFCRE1o40quS8gO+mlqtlkqlNpstNW82ttRqtd/vD4VCye5I3CmVSrlc7nA4MuRmWZYN\nBAID+NqU/ds1xSHYnYdgl5YSH+z6a/BBMPWDXVg7b1sf2P6P4Jc+4aK3eDElWiiedLdsbind\ne02T0tLSbi2pHOxiC8EuLSHYRQnBbmCweQIgmXqmlrDoA1+q7aK4lBxa/5h88Q9lC/8e2PVu\nYLddcIfbQwL7UXDfx8H9s8Rj75XNH8eUJLWbAABDG4IdQCrqNfBdKu2ZTCan0xnnHsWGllL+\nSPa95dJrNwW/Wh/Y3sqfHyYXiLArdHRX6OgVovJ7ZPNmiEZHrswDAIAoIdgBDBmRaS/xi/li\nSE5J75BefZt05pbg128GPo+sjXKIrT/krh/O5N8tnbtAMqmP2igAANATgh3AkNRtSK+tra2j\noyNZnRkYEWGul0z9nmTKntCJdYHPvmXrux6q41qe9765xv/xXdJr/w+fL6dxeAMAQFTw1zBA\nOqisrLz22muH4lrjrtoor6senSke0702iu+9qSf+7VJ17wAAoBuM2AGkla5sNyR2VESaICr7\nnejBPbaOv3q3HVfs46nz+0Bnqa6UUTiVCwAgKhixA0gfkfOzpu8ksT/95QrQnWdLrzc/8GDL\nS5Od88WClBCqwrY82f0CABgyMGIHkFZKS0u77asYQmN4zXYRJ1CEEA1rmGu7c4bzxkbZ8XZ/\nJTvBIqJTtxghAEDqQLADyBSpn/CC3EUlTuScerRnegdF/CFKJUWwAwC4PEzFAqSbSxU97hLl\nFK3b7Xa73THqVFR6PX1LIeGVkoGfygUAkFEQ7ADS0GWzHelPvEvYCF+xnlX3yHYLR3op1CoG\nAIgOgh1ARosy3iUm24lo4aoyf66aDQc5CSNMKAhUlfoT8NIAAOkBa+wA0lPPXRR9CGe7vtNb\n+NF4b7NVSviryvwsTwVZIpcIGKoDAOgXjNgBpK1oJmQjRTN6ZzabEzB6J6IFBVIdAED/IdgB\nwEVSJ94BAEB/IdgBpLP+Dtp1MZlMKpWq7+cg2wEApBoEO4A0N+BsRwhRqVR9xzsM3QEApBQE\nOwC4DMzMAgAMFQh2AOlvMIN2YVh4BwAwJCDYAWSEwWc7El2tE8Q7AIAkQh07AOiHaCrehZ8w\n+Ip3rSHL157q46c3lssK7jEuzBEbBnlBAIC0h2AHkCn6VbK4bwkoaHzAc+o92w5W4HaTakLI\nHzs+eLd8xWTlyIFdDQAgQ2AqFiCDxGRCtkv8ZmYdnOd9205W4Lpa3JzvodMvc0L3k2QBACAS\ngh0ADFyUA3L9jXe1/rNBge3WeCbYdsp/ph+dAwDIPAh2AJkltoN2JLoNs2HRx7tQxFhdJB8f\n6EfPAAAyD4IdAMRA9Gvpool3RZKsno0ySjJSNqzfPQMAyCQIdgAZJ+aDdmHRD92Ry228KJRk\nT+2xT+L5wh+oGPkAOwcAkBkQ7AAyUZyyHYnd0N1t+jk3aquyRTo5LR2vKF9T8uT9phti1EcA\ngLSFcicAEGMmkyn6rRI9q6Ic8dUf8dZ7OX+exPTj7FvWDH82Lr0EAEhHCHYAGSqGZe16irKO\ncZeuePe+bdce99FwY3Xg7Ffu488XPlQpK45TPwEA0gymYgEyV/wmZMP6W534ZFtdh7kjssUv\nBB9t+n1MOwUAkM4Q7AAgjvqV7dpDNkLICH/OCH9OV+NBzykn54l9zwAA0hGCHUBGi/egHenP\nblmBXDhYIjLe4cAJAIAoIdgBZLoEZDsS3dCdUaTt1jLCn1MhK9KL1PHpFABAukGwA4AEuWy2\nyxeb8sTdn/MCtTx+mzwAANIMgh0AJGjQjkSR7apUo8fJyw2MWknLCsSmeZrJpdI8QkhjYyPi\nHQDAZaHcCQAQEufqJ5H6roRCE7pSVlQpK+r10XAPJ06cGL/uAQAMaRixA4Ak6G8llEjV1dUN\nDQ0x7AwAQNpAsAOA8xI2IRs2mGxHMDkLANCbITkVK5fH/iBwiqLicdkURFEUic+/YQqiKEom\nkyW7F4lA0zQhZPA3O3r06Nra2vDHDMOEPxCLxYO87KXk5eV1dHT0/Zyer05RlFgs5nmeEHLu\n3DlCyIgRI+LUw+QK/xdIpVJBEJLdl7hjGEYqlYpEQ/K3Ur+E7zFzbpam6fAbVL9wHBeP/mSC\nIfldFaf3uEx46+ySOTebOXdKhubNZmdnXzbb9dTtTsNhdPjw4THrVooZiv+zAyAIQobcKcmk\nmx3YnWbIP048DMlg5/f7Y35NhUIRj8umILlcTlFU5txsIBDIhDcIqVTKMExMbrawsDA8xdn1\nF3MoFBps//qk1+vJpbdT9Hx1kUjEsmx4xC7SyZMnSewmlAWBHGuVnnOIZAw/MjeUp2Fjctl+\nEYvFIpEoEAhkwuiFWCwOBoPx/mZLBQzDZNTNsiwbCASS3ZEMMiSDHQDEVcJ2yEYymUyXynb9\nEu75IONdkKVe3as9azv/DvnJSbJwlHduhXfw3QMAiCtsngCAVDHI7RSRBrm14qPjyq5UF7b5\npKLREq+1hgAAsYJgBwC9SPAO2S4xzHZkEPHucLM0ykYAgJSCYAcAqSW22Y70P94JhARYqme7\nL9RLIwBASkGwA4DexTxg9eulkxjvKEKyVb1slchNxv4JAIB+QbADgEtKYraL06tHGe9uGNt9\nn4RBwVWVZsRecgAY0hDsACB1xSlZXjbeVWYH75nqzFZzhBARTcbkBf/tKqdMlP51cwBgqEO5\nEwDoS3IH7eKq78IoY/OCY/OCQZYS0UL/y+YDACQHgh0AZLS+450Eo3QAMKTg71AAgMHWvQMA\nSBEIdgAA5yHeAcBQh2AHAL1zBKSckImV2xDvAGDowho7AOjdp2dGeEKScp21QmfOVbozLeJ1\nZbtkHcIBADAACHYA0IuzNpHVLyeEnLBknbBk6WX+Cp25Qm9RiYPJ7lqi9b27AgAgpSDYAUAv\nvjkni/zU5pftayvc316Yq3BX6Mwj9FYxzSWrb0mBeAcAQwKCHQD0Ys4IL/F3VNtMZp+iq1EQ\nSKtH1epRfdFSXKKxV+gtw9QOisqggiCIdwCQ4hDsAKAXWhk/3tQ+3tTe4VXW2E21doOfvfB2\nwQl0vcNQ7zAoxcEKvWWk3qKT+pLY2wRDvAOAlIVgBwB9yVZ4shWeq/Kbmt3qGpup3q5nhQu7\n6T0hyaGOvEMdeXqpr9JgGak3y0WhJPY2kbC7AgBSEIIdAFweRYRClbNQ5ZyRL6qzGWrspnav\nMvIJtoD8q9bCA20FxRpHpd5crLYzGTNFiwE8AEgdCHYA0A8yhh1r6hhr6rD5ZbV2U43d6ApK\nuh7lBKrRoWt06KQMO0JnrdCbcxSeJPY2kRDvACAVINgBwEDoZf6pueem5Jxr86pq7KZamyHE\nM12PBjjRMUv2MUu2TuoPJzyNJJDE3iYM5mcBILkQ7ABg4CiK5CndeUr3jLymBoe+xmZq9miE\niDlYe0B2oD3/YEd+nsI50mAp01jFDJ+8/iYOBvAAICkQ7AAgBsQ0X6m3VOotnpC43mHoWSel\nxaNp8Wh2UsMyqk4K4h0AJBiCHQDEklIcCtdJ6fQpq63GWoex9zopomCF3lJpsOgzoE5KPOZn\neYHsPyM71ir1hah8LXvtCJ9ekVklowGgVwh2ABAXWXJPVoFnRv7ZJpe22mY649Jx/IXzZj2s\n5FBn3qHOvCy5p9JgGa61yEVsEnubGDEcwFt/UH2kRRr++KxNdOis9D+uduSq0//fEAD6hmAH\nAHFEU0KJxl6isQc45oxLX201Nrs1kVOwnT5lZ7NyT3NRgfoX0vsAACAASURBVMpVabCUaawi\nOs0X4Q1+AO94q6Qr1YUFOWrjt6p/n2UfbOcAYIhDsAOARJAyXIXOXKEz2wOyGpuxxm6KrJMi\nEOqcW3POrfmCKRqus1bqLTkKdxJ7mxgDHsCrN4t7NjZZRSGeEtPpv3IRAPqAYAcACaWT+qfm\nNk/Jab5UnZTjluzjlmy1JDhcaxlt7Ez7OimokAIAMYRgBwBJ0FUn5aq8pgaHvtoWnqK9sAjP\nFZQc6sz71px3vk6K1iam03xzQPQJr9wU+qJB3q2x2MBiuA4AEOwAIJlENF+ht1ToLR5WUmsz\nVtuMVv+FyNJVJ2VX87BSjW2kwVKgciaxt4lx2SnaMXnBcfmBoxHL7MSMcNvE9J+8BoDLQrAD\ngJSgFAUnZrVOzGq1+uU1NuMpm8nHXlhJxvJ0rd1YazcqxKFKo7NC22GQpnmOaWxslMlkIpEo\nNze356N3TXbtPxM61ir1BqkCLXttBcqdAAAhCHYAkGoMMt/0vHNTc5t7rZPiDYkPtRkPtRmz\n5J5KvWW4Lv3rpDQ0NPA8Ty4ew6MpMr3EP73En7x+AUAqQrADgFQUVZ0Un3JPS8bVScEeCwDo\nA4IdAKS06OuklGutlXpLrjL9p2jDHyDhAUBPCHYAMDR01UmxsKaj7Zp6u65bnZQT1uwT1myt\nxF+pt1QYLGox6qQAQMZBsAOAoYSiSJHGky21zi4gp526apuxyaUVhAuL8BxB2f72gv3tBVly\nT4XeUqm3SJk0X4SHhAcAXRDsAGBIYii+XGst11o9IXGt3VhtM0XWSSHfLcLb11pYqrVV6C1F\naidF0rzMGxIeACDYAcDQphSHJma1Tcxq671OinChTkq51lqpN2fJvUnsbWIg4QFkLAQ7AEgT\n4Top087XSTGeduo4ge561BsSHzXnHDXnmOTeSr15hM4qF4WS2NvE6Ep4BCEPIDMg2AHARc5Y\nxZ+eVJy1i3KFjlwNOyYvKBMNpRlMihKGaezDNPYAx9TZDTV2U7tHFXkDZp/C7Cve21pUrHZU\n6i0lGjtDpXmdlDAM4wFkAgQ7ALjgrE306h4Ny1OEEL9AnbaKLR5mboWPGYKHkEoZboyxc4yx\n0xWU1DmMJ61ZjsCFM7gEgTrj1J1x6iQMV6qxV+jNBSon1cfl0ggSHkAaQ7ADgAv+eUzJ8hfF\nG1eArjeLKrKH8KylWhK8Iqt1YlZrm0d9ympscBiCEXVSghxTbTNW24xaaaBCZ67UW9SSNK+T\n0gUJDyD9INgBwAXNjl7eE2xehpAhHOzCKELylK48pWt2YdNZl6bGZmx06vnIOikB6YH2ggPf\n1Ump0Ftk6V4npQuW4gGkDQQ7ALhAwpBQj6Pkh+I8bB8Yig8fVub9rk6K5RJ1Ukq0tsrMqJMS\nCSEPYEhDsAOAC0bnBg40ybo15mt7ZL20oBCHJmS1TchqM/sUNXZTjc3QrU5Knd1YZzcqxKER\nOkul3mKUpX+dlG4wVwsw5CDYAcAFN471nLGJO1wXlqCVGUP52jSfkTTJvSZ5U1Xe2Wa3usZm\nanDoQ/xFdVIOd+Ye7szVS32VBkul3qzIgDop3WAYD2CoQLADgAvkYuGxOfb9Z6Rn7SKJO5Sr\n5XLUqZvqOIGiiUDFaC8rRYRClbNQ5bwqn6m3G2rspraL66TYAvKvWgv3tRUUqRwjDRlUJ6Ub\nhDyAVIZgBwAXYWihqtRfRUhjY+puDm1xMEebZa4ATVFCroYbnx9USmKWsaQMN9rYOdrY6QhI\na+2mapvRGbyoTkqTS9fk0kkZrlxrrdCbc5XuDKmT0hNCHkCqQbADgCGm1U7taTiftASBanGI\nHD56boVPzMR4i4NWGpic0zw5p7nTp6y2GWttRj934T0zwDEnrFknrFkqcXCEzjLK0KmVpm4U\nTgCEPIBUgGAHAEPMoabuA2SeIF1vFo3MidfStyy5J0vumZ53rtGhq7WbmpwagVzogzskOdSZ\n921nXq7SVam3lGutEiY9t5tEDyEPIFkQ7ABgiLH7epn5dPrjXmxPRPEjdNYROmuAE9Xb9Ses\nWZ0+ZdejAiGtHnWrR727ZVihylGpt5RqbDSVQXVSLgUhDyCREOwAYIgRMyTQY0dHzOdh+yBl\n2PAiPItfUW011tqN3og6KRx//rAyhSg0Qm+t1JszsE7KpUSGPIKcBxAHCHYAMMSUGIXq9u6D\ndoW6JOzeNcq8M/K9VXnnmlyaGrup0aHjhIg6Kaz4cGfO4c4cg8w70mAZobNkYJ2UvkXmvPHj\nxyexJwBpA8EOAIaYK4r5Thdl9V6IUKNzg1mqpC1royhhmMYxTOMIcky9w1Bt614nxepX7G1R\nfNlaWKx2VujMJVq7KCPrpPStpqYmFApx3Pn/RwzmAQwMgh0ApBZeoLxBSiHh6UsUEREx5NoK\n/zkbbfMxIkbIVbM6eUJzkiAQb5CWigXRxYetSRhulKFzlKHTGZRW24w1NlO3OilnnNozTq2E\n4cq11kq9JVfpytg6KZeFSVuAgUGwA4BUEeKoIy2SM1axQAhNkTJjaExeUNTbSbUURQp0bEHC\np18FgZzqkNS0i1mBogjJ1bATCwMKcfceaiSBKTktU3Jaeq2TEuSYk9ask111UoxmrcSf2PsY\nepDzAKKEYAcAqeLrs9Jmx/k3JV4gdWZxiKMmF6dQ6KnukJxok4Q/FghpdYp8jfQ1I3yX2v3a\nVSfltENXYzc1uTSC0GudFHeF3lyutUozvk5KlJDzAC4FwQ4AUoLdR3elui5nbKKRObRKmhIr\n0niBOtUu7tZo99HNDqaoz7FDEcUP11mH66xeVlxrM9TYTWafoutRgZBWj6rVo/qiubhUa6/U\nW4pUDgp1UvoDOQ+gC4IdAKQEd4Dutd0VSJVg5wtSnNDLorhL9bwnhSg0Iat9Qla7LSCvthqr\nbaaL6qQIdJ3dUGc3SBm2XGer0JlLZal7UG8q65bzCKIeZJLkBLtQKHTvvfeuWbNGo9GEW957\n771169Z1PYGm6X/84x9J6RsAJIXkEoXoJExKpDpCiJgRKEJ69vJSPe+DXuqbnnduWl5zk1NT\nazc1OnRsRJ2UACc6Yck6YckytfjHZjtKVSEZk9GHlQ0ehvQgcyQ62AWDwZMnT3766adutzuy\n/dy5c5MnT77xxhsT3B8AuJTS0tKeIx/xY1LxKgnvDl40+qWV8QZFP4Kd1Uufape4/LRURIr0\noTJjiIrdvlOJSMjTsi0XzxdLGKFAO8BxNYp8VyeFZ0479dVWY7NbExkSzT7ZjjOynVROgdJZ\nabCUaqxiOlVi7pCGIT1IY4kOdh999NE///lPlu3+Ptjc3Dxr1qwrr7wywf0BgD70/G0Xv6hH\nU8LUYf4vT8t9ofNZTCHhpw7zR5/M2l3MFw3y8MfuILF4pVYPM2VYLPdeXFkY8AZpu+98+pQw\nwuTigKzHrtj+ktBchc5coTO7wnVS7CZHILJOCjnn1pxzayR0cZnWOtKAOimxh6gHaYMShCQs\n0a2rq3v88cffeuut8FSsIAh33XXXyJEjGxoaAoHAqFGj7r///oKCgkt9udlsjnmXDAaD1WqN\n+WVTkF6vp2naYrEkuyOJoNfr7XZ7Ur7JE0yr1YrFYovFkvibjW3UY3mqzcl4ApRKKuRpuV53\nm8rl8kAgwPMXjV0JhHx6UukNdg88s8p82epYbjUVBNLuEjn9lFQs5Ko5qSj2/+ACIW0eVa3d\nVGc3BDim5xPUkkCl3lKhM2ul6TNFK5PJIgsUp6BYRT2lUimXyx0ORyiU/ieRKJVKlmUDgYF8\no5pMppj3JxOkxOYJp9Ppdrtpmn7yySc5jnvnnXeeeeaZP/7xjwrF+Y1jjz322OHDh8Mfl5eX\nv/baazHvA0VRRqMx5pdNQRRFEUIy52YNBkOye5EI4f/WpNxst++lkydPDvKCWvVlnkBRlFwu\n79boDZKeqY4Q4grJSpWD7FF3KlWML9jTcKUwPLuTFyyNduWJTm2tVc1H7NtwBaUH2/MPtufn\nqvyjTPbRJodcnLp5KEoURTFMLyk2dXR0dHRrGTVq1ACuE/5p7VpinglU/f+ZCQaD8ehJJkiJ\nYKdSqf76178aDAaapgkh5eXl99133/79++fMmRN+QlZWVtcAXlZWVjz+pBOJRKn8l2IMMQxD\nUVTm3Gzm3GmK/LdWVFR0a6muro75q/QyMCkQQnqbn6R6e/IQQVP8cIO7TOf0hkSnLNrjnboO\njyzyCW1uWZs7d3dTTrneNdpkL9W5h3SdlCH3P3XixIluLZWVlZf9KpqmaZrmeX7I3e8A0DQt\nCMIA7rTbkDxELyWCHcMwkSOuKpUqOzs7cr716aefjnx+nKZi7XZ7zC+bgsJTsZlzsw6HIxPe\nPcNTsal5szk5OZGfDn7qttepWEKIVqpw9Kg8YpD6vN6h+htCJpOJRCK/3094fqTGOVJz1haQ\n19sNp2wmV1DS9TSWp6otmmqLpqtOSp7S3cdlU1PqT8VG49ChQz0bu83hhqdi3W43pmL71nNg\nHqKREsFu//79b7755q9//evw0LTP5zObzYWFhcnuFwDEXrdfcjFcojep2L+zTh5Zaq4yO6Tv\nz6ba1KeX+ibnNE/KaTnr0tTYjI0Ofa91UgwyX6XePEJnUYrTPzqkvm7f5FKpdPz48cnqDKS9\nlAh2Y8eOdTqdL7/88i233CKRSN59992cnJzJkycnu18AEHcxzHl6Bb9gpLe2U+L00zKRUKRn\nczXpWeCXIkKx2lGsdgR5pt6ur7GZWj3qyKFaq1/+ZWvRV62FhWpnpd5SqrWJqLQKuEPdyZMn\nfT5ft+FJ7MOFmEiJYKdQKFasWPHnP/955cqVMplswoQJP/nJT0SilOgbACTSIHOeQiJMKEif\njaKXJaG5UQbzKIPZE5LU2I2nrCZ74MIiPIFQZ13asy6tiOKHaeyjjZ0FKifqpKSsXr/bE5z2\nBIEcPCvbXS+zehi9gp9e6q8a5qOjPVoFUkJyyp0MEsqdDAbKnaSlJJY7SaTwb75LrbFLP+E1\ndl6vN/qbbfOoqm3GeochwPXyt7FaHKgwWCr1Fq0kluX9YiI91thFQyqVisXiniN20Ytf2vu8\nRrH5pCKyZXa578axngFfEOVOEg+jYgAwZIR/n2m1WrfbzXFcIg/GGCpyle5cpXtmftNZt7bG\nZmx06i+qkxKSft2e/3V7fpbcU6G3jNBZ5KL0nK1Ob3Ea23MH6K3Vim6Nu+rl00r8War0D9xp\nA8EOAIaqyN9kCHmRGFoo0dhLNHYfK661G2pspk7fRb+wO33KTp/yq7aiEo29QmcuVjt6rQUN\nQ8jg016Lg+l1aLjZLkKwG0IQ7AAgHcRvs+2QJheFxpvax5varX55tc1YazN62At1Ujieqrfr\n6+16uYgdrrNU6i1Z8oFPukEKutQPQq+BT3yJ+tAiBqF/KEGwA4A0hMG8bgwyX1Xeuem559q8\nqhq7qdZuDHEXlsT7WNFRc85Rc45O6huhs1UazGpxBu1ByUC9/lAUDStTS3nXxcUg5WKhzIii\nOUMJgh0ApDmEvC4URfKU7jyle0be2Xq7vsZuavGoI/fb2APyA+3yg+15BSrnSIOlVGMT0em/\nSQXCzp5pmJ/PfNko6yoGSVPCtPyAQlKU3I5BvyDYAUAGQcgLE9PcSIN55KXrpJxza8+5z9dJ\nqdBbhmkcFMF8XPrLUXMLRvkazSJPkFZIhGGGkFrK92s+F5IOwQ4AMhRCHiFEKQ5ekdV6RVZr\nu1dVbTPW2S+qk8IKdL3DUO8wqCXBETpzpd6ik6ZcnRSILYWYH5MXjOaZjY2NyHYpCMEOAAAh\nj+Qo3DkK91V5TWdcumqbqcmlvahOSlDyTUf+Nx35OQp3pd4yXGeVMqiTApCKEOwAIK2csYrb\nXYxKypeZQjLRQGYPu0JeBiY8hhbKtLYyrS3AicKL8Fo9qsgntHtV7V7VntbiQpWjUm8p0dgY\n1EkBSCUIdgCQJvwhat0BTV2nOPypWsp/f5JrRNbAN/Rl8jCelGFHGztHGzttAfkpay91Us44\ndWecOrmIHa61VBpQJwUgVSDYAUCa+OCIqivVEUJcAfpvB9VPXGtXS2OwrzNjQ55eerk6KZac\no5Ycvcw/XGtFnRSApEOwA4B04Gepw83Sbo3eIH20WTKjLMbr/TNwrjayTkqDQ3/Kamz1aiLr\npNj8sgP+/IPteYVqV4XOXKq1iVEnBSAZEOwAIB14gzTf21qvbtVWYysDE56Y5ir15kq92RWU\n1NpN1TZjtzopZ12asy6NuJkr09oq9ZZ8pZOi+rgeAMQYgh0ApAONjBfTQojvHiKMykSccZmB\nE7VqSfDK7JYrs1s6fcpqm7HObvSxF36hhHim2maqtpmUomCZzjbKYDbKvEnsLUDmQLADgHQg\nooXZw32f11x01H22mhtfEFVFrhjKtGG8LLknS+6pyj17xqWrsZvOOC+qk+JhJeHDynIUngqd\nebjeKkOdFIB4QrADgDQxv9Ib4qk9DXKOJ4SQEkPo9ivckuSdX55RCa+rToqfFdU6jDU2Y4dX\nGfmEdq+y3avc21pcrLZX6s3FGgfqpADEA4IdAKQJmiY3jvHMr/R2uhmVlNfJU2XxfkYlPJmI\nHWdsH2dst/ll9Q7jKZvRFbywqYUTqEanvtGplzJsuc5WoTPnKt1YgwcQQwh2AJBWpCKhUJei\nk30ZlfD0Mv9kWfOk7OZmj6baamx0GkL8hY0sAU50wpJ1wpKlk/oq9ZYKvUUm6+NiABAtBDsA\ngETLnIRHUaRQ5SxUOVnhzBmnrtpmbHJphYhFePaAfF9b4f72wnyVt0JnLteaxXQi9rsApCsE\nOwCApMmchCei+HKttVxrdYckNTZjjd1k80fUSRFIs0vR7Cr+oqWwVG2tNFgKUCcFYEAQ7AAA\nki9zEp5KHLwyu/XK7NYOr7LGbqq1GfxcRJ0Ujq6xm2rsJpU4WKG3VOotOqkvib0FGHIQ7AAA\nUkjmJLxshSdb4bkqv6nZrT5hyTrt1HMRU7TukOSbjrxvOvL0Ul+lwTJSb5aLBn7sL0DmQLAD\nAEhFpaWlarW6oaEh2R2JL4oI4UV4gkh5okN9ymroVifFFpB/1Vp4oK2gWG2vNFiK1XbUSQHo\nA4IdAEDqGjVqlM1m4zgu7Qfw5CJufFbnGENbuE5Ktc3o7L1OCleus6JOCsClINgBAAwBmTNF\n21UnpcWjOWU1NroMIS6yTgoTrpOil/lH6MyVeotKnOjDRQBSGYIdAMBQEk54aR/vKIoUqJwF\nKmeIP9Pg0Nf8//buPDqq+v7/+GfmzpbMvoRsbCEbtP4Iv7BZ0UCx/LQ/se3xV3vE44IK1W7W\nol2OluOp5/itlipYq6dueKoej1Xbam1re8TqV/QrpHoAQSQhgCwJCbMnM5l97u+PsUMEFEgm\nuTN3no+/Mp+5+eR9MzDzyufe+75BT2/UJo84BhuMmzr7J/97YHKdebDV6Z9hC+ilYmlJDSiI\nYAcApad8FvD02myr09/q9EfThn0hZ1fQ44sdvyOwLIveiK03YvtvzbTptlCL0z/NGtZwEh7K\nGMEOAEpYmSzgCSHMuuRsz8Bsz8CxYXN30L037I6nj3+EZWTtvrBrX9hl/k+fFCd9UlCWCHYA\nUPLKZwFP5Puk1B/ujVi7g559IWdaPn4SXjRl2Hasdht9UlCuCHYAoB7ls4CX75OyqE63N+Tq\nDnoGPqtPii3c4vBNs4YkLYdooX4EOwBQm7JawDNK6XPcx85xHwslTF1B996QZyhpyD+bkTUH\nwo4DYYdRSjc7Ai1Of3VlRMFqgfFGsAMA1SqfBTwhhMMYX1jTu6C6t3/YkrtZWSor5Z9NZHS7\n/JN2+Sc5jPFmR6DF6bMZEgpWC4wTgh0AqFxZLeBpNKLWHKk1R86rPXQg7OwOeY5EPtUnJZQw\n/Xug7r1jdbWVgzNd/hn2oF6bUa5eoMAIdgBQLspqAU+vzbY4/S1OfzSl3xd2ndwnpS9q64va\n/vsIfVKgKgQ7ACgkWQg5K7Ta02+plLKKd0IIsz6V65PijZm7Ap/dJ0WXbHb6W51+l4k+KShh\nBDsAKAx/VPrrh+a9Xn02q5nsSP3fLw5PdxVvo41yi3dCiKqKaFV99Ly6wwcH7d0hz8EhRyZ7\n/H6z0bRhu7d2u7e2qiLa6vQ3OfwVurSC1QKjQ7ADgAKIJjW/e8cejn2yUvdxQP/YO7bvdYTr\n7EUdDsrq9LscrUZusIca7KFERjo45OwKuHsjtpGHYL0xszdmfqdvSr1lqNXln2EL6LTcrAwl\ng2AHAAXw1r7KfKrLSWU1f/vQvPq8sFIlnZUyXMAzSpkWh6/F4QslTN1Bd/en+6TIQnMkYjsS\nsb0tTWlyBFrpk4ISQbADgAI4GpZOHuw71WAxK8N4J4RwGOMLanrn/6dPSk/Qlfx0n5QP/ZM+\n9E+yGpJNdv8sl9dupE8KihfBDgAKwCCd4oJKo64kr7Isz3iX75OyqPbQgUFnV9B9ZMgmi+Mn\n4Q0lDdu8tdu9tbXmoVanb4YjaKBPCooPwQ4ACmB2ffKDPuPJg4oUUxDlGe+EEDptttnhb3b4\noyn93pC7K+gJxCvyz8pC9EWtfVHr5r5pDbZgq9M/2TqoESWZ4KFKBDsAKIDZdYmF0/RbD5ry\nI9Ndqf8zc1jBkgqiDK+uyDPrU3Oq+udU9QfiFd1B956gJ5bW559NZ7V7Q+69IXelPtVoD8x0\n+jwVJf9yQwUIdgBQGP9vTmTO5ET3MUMqI6a50rPrEhrN6b+rVJTtAp4QwmWKnVt7ZEFN76Eh\ne3fI8/Hgp/qkDKf0O33VO33VVRXDLU5fsyNQoSveNjdQPYIdABRMoyfV6FHzh3o5xzutRp5u\nC023hZIZ6eNT90mp9Mam/g99UqAogh0A4OyUc7wTQhj+0ydlKGnoCbs/ClSFE8dPr8z3Sdks\nTW2whVqcvnrLoIqWblHsCHYAgNEo83gnhLAakv+76uicqqNHo9buoGdfyDmyT0oyI3UF3V1B\nt90Qb3X6W1x+q54+KRh3BDsAwOgR7zRC1JmH6sxDF9Qf/HjQ0RV0Hxqyy/LxRbpw0tQ5UN85\nUF9VEW1x+s+pHtLrP2c+YEwIdgCAsSLeCSEkTbbRHmi0B3J9UrqDHv+IPiniPzcr23o02+KJ\nNNqO1ZtD9ElBwRHsAACFQbzLyfdJ8cUqu4KevSHXp/qkyNrdXttur61Sn2px+FucPrcppmC1\nUBmCHQCgkIh3eZ6KYU/FofPqDvdGrN1Bz76wM509fkPh4ZR+u7dmu7fGaYy1uvytTl8lfVIw\nZgQ7AEDhEe/yNEKebBmcbBlcVCf1hFw94aqjEfPIQ7DBRMWWo5O39tdPtYZbnf7ptpCkoU8K\nRolgBwAYL8S7kYxS5otub3vdYCxb+cHRit1+z6f6pMiag4OOg4MOg5ShTwpGjWAHABhfxLsT\n2IypudWDbZ6+/qh1T8C9f9CVzJyqT4ox0ezwtTr9NgN9UnCmCHYAgIlAvDuBRoha81CteegC\n+dCBkKM75Dk8ZJPFiD4pCeN7A/XvD9TXmIdmuvwzbAGDlFGwYJQEgh0AYOIQ706m02SbnYFm\nZ2A4pd8bcu8JugPxyvyzshBHo9ajUetmzdTp9mCr0z/FOkifFHwWgh0AYKIR706pUp9qq+pv\nq+r3xSq7Q57u4Il9UnpC7p6Qu1Kfarb7W11+t2lYwWpRnAh2AABlEO8+S65PypdqP7NPyg5f\nzQ4ffVJwCgQ7AICSc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"text/plain": [ "plot without title" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Separate regressions of mpg on weight for each number of cylinders\n", "qplot(wt, mpg, data=mtcars, geom=c(\"point\", \"smooth\"), \n", " method=\"lm\", formula=y~x, color=cyl, \n", " main=\"Regression of MPG on Weight\", \n", " xlab=\"Weight\", ylab=\"Miles per Gallon\")" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": {}, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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NgBAADIBMEOAABAJgh2AAAAMkGwAwAAkAmCHQAAgEwQ7AAAAGSCYAcAACATBDsA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"text/plain": [ "plot without title" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Boxplots of mpg by number of gears \n", "# observations (points) are overlayed and jittered\n", "qplot(gear, mpg, data=mtcars, geom=c(\"boxplot\", \"jitter\"), \n", " fill=gear, main=\"Mileage by Gear Number\",\n", " xlab=\"\", ylab=\"Miles per Gallon\")" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "R", "language": "R", "name": "ir" }, "language_info": { "codemirror_mode": "r", "file_extension": ".r", "mimetype": "text/x-r-source", "name": "R", "pygments_lexer": "r", "version": "3.4.2" } }, "nbformat": 4, "nbformat_minor": 2 }