{ "cells": [ { "cell_type": "markdown", "id": "b0e3a543", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [] }, "source": [ "# Distribution functions\n", "In this example, we will demonstrate how to define a distribution function using the probabilistic library.\n", "\n", "The library supports the following [distribution functions](https://deltares.github.io/ProbabilisticLibrary/probabilistic_library/statistic.html#DistributionType): `deterministic`, `normal`, `log_normal`, `uniform`, `triangular`, `trapezoidal`, `exponential`, `gumbel`, `weibull`, `conditional_weibull`, `frechet`, `generalized_extreme_value`, `rayleigh`, `rayleigh_n`, `pareto`, `generalized_pareto`, `student_t`, `gamma`, `beta`, `poisson`, `discrete`, `bernoulli`, `cdf_curve`, `histogram`. Distribution functions are defined in the [distribution](https://deltares.github.io/ProbabilisticLibrary/probabilistic_library/statistic.html#Stochast.distribution) property of a [stochast](https://deltares.github.io/ProbabilisticLibrary/probabilistic_library/statistic.html#Stochast).\n", "\n", "### Define a stochastic variable\n", "First, we import the necessary classes:" ] }, { "cell_type": "code", "execution_count": 53, "id": "c0d851fb", "metadata": {}, "outputs": [], "source": [ "from probabilistic_library import Stochast, DistributionType, DiscreteValue, HistogramValue, FragilityValue" ] }, { "cell_type": "markdown", "id": "bc022113", "metadata": {}, "source": [ "Next, we create a random variable:" ] }, { "cell_type": "code", "execution_count": 54, "id": "459561f9", "metadata": {}, "outputs": [], "source": [ "stochast = Stochast()" ] }, { "cell_type": "markdown", "id": "0456f800", "metadata": {}, "source": [ "Below, we demonstrate how to define distribution functions in the library. " ] }, { "cell_type": "markdown", "id": "435a3fe5", "metadata": {}, "source": [ "### Deterministic distribution" ] }, { "cell_type": "code", "execution_count": 55, "id": "1eee9e54", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Variable:\n", " distribution = deterministic\n", "Definition:\n", " location = 0.8\n", "Derived values:\n", " mean = 0.8\n", " deviation = 0.0\n", " variation = 0.0\n" ] }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAmoAAAGwCAYAAAAZn0mrAAAAOnRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjEwLjAsIGh0dHBzOi8vbWF0cGxvdGxpYi5vcmcvlHJYcgAAAAlwSFlzAAAPYQAAD2EBqD+naQAAQNFJREFUeJzt3Qd4FGXix/HfpvdCEiAkARGkhA6KIpyIevYGir1gPRU9FfU4Tj1BVOAUEbGCoOChon+xI4qeYgMFISgE6SUFQiqppOzu/5kJCQkkGnDDTna/n+dZsjP7zuz7ssnub9935h2b0+l0CgAAAJbj4+4KAAAAoGEENQAAAIsiqAEAAFgUQQ0AAMCiCGoAAAAWRVADAACwKIIaAACARfnJy1RVVWn16tVq06aNfHzIqQAAtAQOh0NZWVnq16+f/Py8J754T0v3M0LawIED3V0NAABwBH766SedcMIJ8hZeF9SMnrSaFzo+Pt7d1QEAAE2wa9cus6Ol5nPcW3hdUKsZ7jRCWmJiorurAwAADoOPlx225F2tBQAAaEEIagAAABZFUAMAALAoghoAAIBFEdQAAAAsiqAGAABgUQQ1AAAAiyKoAQAAWBRBDQAAwKIIagAAABbl1ktI/bg1VzO/2apfM/ZqT1G5Xr52gM7q0fZ3t1m2JVePfZKqTVnFio8K0p3DOmvk8UlHrc4AAKBlKF2xQrmz52jfunWqys5W4nMzFH7GGb+7TcmPPylrymRVbNosv/h4xd52m6JGDJdX9qiVVtrVPT5Cj17Us0nl0/JKdeNrKzTo2BgtunuIbhzcUf9c+KuWbsxu9roCAICWxVFWpsBuXdXm3w83qXxFerrSbrtNoQNPVMf331Or667TrocfVvG338kre9SGdW1t3prqvz/uUFKrYD10frK53Ll1uFZsz9Ps77ZpaJe4ZqwpAABoirIKu4L8fWSz2dxdFYWdcop5M2Q0oXzBW28pIDFBbf451lwO7NRJZat+Vt7cuQr7yxC5Q4s6Rm31jgIN7hxbb90pXeK0ekd+o9uUl5ersLCw9lZUVHQUagoAgPfZuCNHJ9+/QA/Pbb4eqKKionqf68bnvKuUpqQoZNCgeutCBw9RWUqK3KVFBbXs4nLFhgXWWxcXFqii8irtq7Q3uM2kSZMUGRlZe0tOru6NAwAArvXtc69r9YyrNfzBW5vtOZKTk+t9rhuf865iz86RX0z9DiG/2Bg5iovl2LdPXjf0eTSMGzdOY8aMqV3OyMggrAEA0EKlpqYqISGhdjkwsH4HjqdpUUHN6D3LKS4/pJctPNBPQf6+DW5jvIB1X0SjmxQAALheRUCwdkS11e7wmGZ7jvDwcEVERDTLvn3jYlWVm1NvXVVOrnzCwuQTFCR3aFFBrV+HKH39W/0zPL/blKN+HaLdVicAAFBtY++TNOVvr5j3z1PLE9K3r4qXflNvXckPPyi4b1/vPEatpLxK6zL3mrea6TeM+xkFZebylMW/acyCAwfwXXNiB+3MK9WkReu1eU+xXl+2XZ/8uks3DenotjYAAABrcpSUaN/69eatZvoN435lZqa5vGfq08ocW32GpyHqiivMMllPPqnyrVuV98YbKly8WK2uv95tbXBrj9ov6Xt15azltcuPfVL9H3lJ/0RNvayP9hSW14Y2Q1KrEM0ZdYImfpyqV7/frraRQZo8ohdTcwAAgEOUrV2nnXVC1p7JU8yfkRdfrHaTJ5mT4FZm7qp9PCAxUUkvvaSsyZOVP+91+bVtq/iJE902NYfB5nQ6nfIi6enpSkpKUlpamhITE91dHQAAPMZz/35Fp86crN/ijtGlv37h0n2ne+nnd4s6Rg0AAFhXcFmRemZtUbmvv7ur4jFa1DxqAAAA3oSgBgAAYFEENQAAAIsiqAEAAFgUQQ0AAMCiCGoAAMAlqvwCtCc0WvnB4e6uisdgeg4AAOASv/UdrIF3vm7e3+7uyngIetQAAAAsiqAGAABgUQx9AgAAlzh2/Sq9PX+qNsZ2kCaf5+7qeASCGgAAcImQkr0amJ4qX4fD3VXxGAx9AgAAWBRBDQAAwKIIagAAABZFUAMAALAoghoAAIBFEdQAAIBLOHz8VBQQrDL/QHdXxWMwPQcAAHCJ1P5/Ua973zHvcwkp16BHDQAAwKIIagAAABbF0CcAAHCJYzakaN6CZ7U5JkkSl5ByBYIaAABwibDCfJ2yfbVCK8rcXRWPwdAnAACARRHUAAAALIqgBgAAYFEENQAAAIsiqAEAAFgUQQ0AALiM3eYjh4144SpMzwEAAFxi7QnD1OkfH5r3uYSUaxB5AQAALIqgBgAAYFEMfQIAAJdov+lXvfTei9raKoFLSLkIQQ0AALhEREGOzt64TD+36+buqngMhj4BAAAsiqAGAABgUQQ1AAAAiyKoAQAAWBRBDQAAwKIIagAAABbF9BwAAMAl1g04RV3ue09Om7TJ3ZXxEAQ1AADgEk4fX1X4+bu7Gh6FoU8AAACLokcNAAC4ROLWVD398SvaERXPJaRchKAGAABcIio3SyPWfcUlpFyIoU8AAACLIqgBAABYFEENAADAoghqAAAAFkVQAwAAsCiCGgAAgEUxPQcAAHCJ9f2GqM/f35Tdx1dr3V0ZD0FQAwAALmH389fe4HB3V8OjMPQJAABgUfSoAQAAl2i3fYOeWPyadka15RJSLkJQAwAALtEqO1NXrVnMJaRciKFPAAAAi3J7j9q8Zdv18tKtyi4uV/f4CE24sIf6JkU1Wn72d9s0f/kOZRSUqVVogM7pGa9/nN1VQf6+R7XeAADA+vLmz1fe7DmqyslRYLduavvQgwru3bvx8nPnKv/Nt1S5a5d8o6MVcdaZihszRj6BgfK6HrWP1mTqsY/X6+4zjtMndw1Rcny4rpv9o3KKyxss/0FKhqYs/s0s/8WYoZpySW99/Eumnvxsw1GvOwAAsLbCRYu0Z/IUxY4erY4L31VQ167aefMtqsrNbbD83o8+1p6pT5vlj/3kE8U/9pgKF32q7KenyV3cGtRe+W6brhiYpMuOT9JxbcL1+MW9FBzgq7dXpjVY/ucd+Tq+Q7Qu6pugpFYhOqVLnC7s005r0goafY7y8nIVFhbW3oqKipqxRQAAoDkVFRXV+1w3Pucbk/vaXEWNHKmoS0YosHNntZ0wXj5BQSp4d2GD5ctWr1Zw//6KvOB8BSQmKGzIYEWcd57Kfv1VXhfUKqocWpuxV4M7xx6ojI/NXF61o+HgNaBDtH7N2KuU/cFsZ26pvtqwR8O6tW70eSZNmqTIyMjaW3JycjO0BgAAHA3Jycn1PteNz/mGOCsqtG/dOoWePKh2nc3HR6GDBqksJaXBbYL79TO3KfvlF3O5Ii1Nxd98o7BTTpHXHaOWX1ohu8Op2LD6Y75xYYHakl3S4DZGT1peSYVGvvSDnE6pyuHU1Se21+hhnRt9nnHjxmnMmDG1yxkZGYQ1AABaqNTUVCUkJNQuBzZy7FhVfoFkt8s3Jqbeet/YGJVv29bgNkZPmj0/X9uvvkbVQaNKUVdcrtjb/iavPZngcCzbkqvnv9qiiRf1VN/2UdqeU6pHP1qnZ7/cpL+fflyD2xgvYN0X0egmBQAArreh90kadPurqvT108pmeo7w8HBFREQ0y75LfvxJOTNnqu2/H1Zw7z6q2LlDWU9MUvYLLyjujjvkVUEtOiRAvj62Q04cMM7+NHrVGvL0kg0a0T9BVwxsby53axuhssoqjVv4q+4c1tkcOgUAAO5RGRisXRFxsgK/6CjJ11f2g04csOfkyi/2wGFXdWU/+6wiL7xQ0SNHmstBXbvIWVamXf9+RLG33WYOnXrNMWoBfj7qmRCpHzbn1K5zOJz6YXOu+ndoeHqOskq7bAdlMZ/9K5zNW10AANCC2AICFNSjh0qWLa9d53Q4VLJ8uYL79m1wGyOU2Q7u9PHZP/2XMRTqbUOfNw/pqPveWaNeiVHqmxSp2d9tV2lFlUYOSDIfH7MgRW0igzT27OoZjk/v1sacR61Hu0j1S4rS9twSPb1ko07v3sbsnQMAAO4Tv3OTHvpyvtIj21jiElIxo65X5j/HKahnTwX37qW8ufPkKCtT1Ijh5uOZY8fKr3Ubtb6v+lj2sGHDlPfaawrs3l3BffqoYscOs5ctbNipsvn6el9Qu6BPO/PkgGlLNiq7qFzd20Vo7o0DFRdePfRpTGprq9OFdtdpnc0etamfb9DuvfsUExpghrT7z+rqxlYAAABDTFa6blr5gVYmdJcVRJx7rqry8pU941nZs3PMANZ+1szaoc/KzF3GqaC15WNvv01G0Mie/qyqsrLk26qVwoedqrh77nFbG2xOp5v68twkPT1dSUlJSktLU2JiorurAwCAx5h9/zTdNHWMGdSOT0916b7TvfTzm2t9AgAAWBRBDQAAwKIIagAAABZFUAMAALAoghoAAIBFtahLSAEAAOva1HOgTrv5JZX7Beh7d1fGQxDUAACAS5QHh2prjPdMnXE0MPQJAABgUfSoAQAAl2idsVVjvnlbmeaF2d1/CSlPQFADAAAu0Tpzh25atsAyl5DyBAx9AgAAWBRBDQAAwKIIagAAABZFUAMAALAoghoAAIBFEdQAAAAsiuk5AACAS2xOPl7nXf+MyvyD9D93V8ZDENQAAIBL7AsN17q2nd1dDY/C0CcAAIBF0aMGAABcIi5zh+5YtlC7w2O4hJSL0KMGAABcok3GVv3jm3m6KmWxu6viMQhqAAAAFkVQAwAAsCiCGgAAgEUR1AAAACyKoAYAAGBRBDUAAACLYh41AADgEtu69tXIqyarODBEn7q7Mh6CoAYAAFyiJCJaK5J6ursaHoWhTwAAAIuiRw0AALhEzO40jVr5sfaEteISUi5CUAMAAC4Rn7ZZN305UysTukua5O7qeASGPgEAACyKoAYAAGBRBDUAAACLIqgBAABYFEENAADAoghqAAAAFsX0HAAAwCW2H9db142coMKgML3v7sp4CIIaAABwieKoGH1z7AB3V8OjMPQJAABgUfSoAQAAl4jOztRlaz5Xbmgkl5ByEYIaAABwiYTtG3TT4mf3X0LqUXdXxyMw9AkAAGBRBDUAAACLIqgBAABYFEENAADAoghqAAAAFkVQAwAAsCim5wAAAC6xs1MP/e3if2lvcJjecndlPARBDQAAuERhq9b6rOvJ7q6GR2HoEwAAwKLoUQMAAC4RmZulC1OXKi84gktIuQg9agAAwCWStqbq2Y+e1D3fv+HuqngMghoAAIBFEdQAAAAsyu3HqM1btl0vL92q7OJydY+P0IQLe6hvUlSj5feWVeqpzzZo8brd2ltaqYToYP37/GQN69b6qNYbAABYX978+cqbPUdVOTkK7NZNbR96UMG9ezda3l5YqOxnnlHhkiVyFOyVf7t2avOvcQobOlReF9Q+WpOpxz5er8eG91S/pCjN+X6brpv9o/53/6mKDQs8pHxFlUPXzv5RMaEBevHq/moTEaSMgjJFBPm7pf4AAMC6Chct0p7JU9R2/HgF9+mtvLnztPPmW9Tp00Xyi4k5pLyzokI7b7xJvjGtlDh9uvxat1FlZoZ8I4yTI+R9Qe2V77bpioFJuuz4JHP58Yt76X+/7dHbK9N0x6mdDylvrC8ordS7t58sf9/qUdukViG/+xzl5eXmrUZRUZHL2wEAAI6OoqIiFRYW1i4HBgaat4bkvjZXUSNHKuqSEeZy2wnjVbx0qQreXajYW285pHzBwoWy792rY958Qzb/6k6ggMQEeeUxakbv2NqMvRrcOfZAZXxs5vKqHQUNbvPF+iz1bx+lf3+wVsc/tkRnTluq57/aLLvD2ejzTJo0SZGRkbW35OTkZmkPAABofsnJyfU+143P+YYYvWP71q1T6MmDatfZfHwUOmiQylJSGtym6H//U3Dfvtr96ERtHDxEWy+4QDkvvSyn3S6v61HLL60wA9bBQ5xxYYHakl3S4DY780r1Q36ZLu7bTq+OGqjtuSV6+IO1qrQ7dM8ZXRrcZty4cRozZkztckZGBmENAIBmkN6xm+49b4zyQiI1t5meIzU1VQkJB3q5GutNq8ovkOx2+R40xOkbG6Pybdsa3KYyLV2ly39UxAXnK+nll1W5c4d2T3hUzqoqxd05Wl55MsHhcDql2NAATRrRW74+NvVKjFRW4T69/M3WRoPawV2idbtLAQCA6xTExuu9nqc163OEh4crormOGXM4zGAX/+ijsvn6KrhnD1Vm7VHunNneF9SiQwLMsJVTfOD4MYNx9qfRq9aQuPBA+fvazO1qdGodpuyicnMoNcCP2UYAAIDkFx0l+frKnptbb709J1d+sbENbxMXJ/n7mSGtRmCnY2XPzjGHUm0BATra3JZsjFDVMyFSP2zOqV3ncDj1w+Zc9e/Q8PQcx3eI1vacUrNcjW3ZJWodHkhIAwDAzSLys3XGph91Qtpad1dFRqgK6tFDJcuW165zOhwqWb7cPA6tIcH9+6tyx06zXI2K7dvNAOeOkGZwa7q5eUhHvbkiTf/3c7o27ynSg++vVWlFlUYOqD4LdMyCFE1Z/Ftt+WtO6mDOozbho3Xaml2s//2WpRe+3qzrBnVwYysAAICh/ea1emXhRI1d2lxHqB2emFHXq+Cdd1Tw3vsq37JFu8dPkKOsTFEjhpuPZ44dqz1Tn64tH33lFeZZn1mPP2Eex1b09dfKeXmmoq++Su7i1mPULujTTnklFZq2ZKM5fNm9XYTm3jjQHOI0GHOk2WwHhjnbRQWbj0/8OFVnT/9WbSOCdMPgjrptaCc3tgIAAFhRxLnnqiovX9kznjWHLwO7d1f7WTNrhz4rM3cZp4LWlvePj1fSK7OUNXmyCi66WH5t2qjVtdcq5pab3dYGm9NpHKLvPdLT05WUlKS0tDQlJia6uzoAAHiM2fdP001Tx2hlQncdn57q0n2ne+nnNwd2AQAAWBRBDQAAwKIIagAAABZFUAMAALCoFnVlAgAAYF2ZHbroX2eNVk5IlI53d2U8BEENAAC4RF7rBL3X9xx3V8OjMPQJAADQknvUznv228PaqTFH7SvXnaC2kUFHWi8AANDChO3N08nbU1QUGOruqnhXUEvdVahb/nKsQgIOXKS0Mcb0uS8u3WJeJB0AAHiPjhtSNHHBQ+aEt9I98gZZkyYf9jaxt98m36iGr2t+xMeo3XrKsYoNq7600x955dutTd0tAABAi5U3b555kXebv3+TypeuWqXoa652bVD79h/DFBPa9KvGLxkzVG0iGPYEAACeL/G5GfKLiWlS2Q39BxzWvpsU1BKjQw5rp8bF0wEAADxd/BNPyCc8vMnl206Y0ORQ96fP+jxr2jfKLCj7M7sAAABosaKGXyyfgKaPOkZecL58QkKOTlBLzy9Vld35Z3YBAADgcXZNmKCq/Pw/vR/mUQMAAHCxwg8/kqO42L1XJjihYysF+ZP1AACAtCupkyYOu0l7wlpxCSmna0Yc/1RQe+2GgS6pBAAAaPly4jvovYHDzfsz3F0ZD9Gk7rAlqVmqtDd9AtuvftujfZX2P1MvAACAFqvrqp8VkJR0dILa315fqcKyyibv9K43V2tPYfmfqRcAAGhhQooK1D9jvbpkb5e3sB/mcWj24hLXD30ao6z3v7NGAX5NOx6tvIreNAAAvE2n9av0+H8f2H8JqdHyBhsHnqjjvv2myXOjbR46VB3ff6/JvW1NCmqX9E/U4biob4LCgv7U4W8AAADW53Sq4J3/a/LcaM6qqsPafZPS1FMj+xzWTgEAALyBf3y8Ct55p8nl/WJjZfNremcW3V4AAABHqPP/vlRzYhI0AAAAiyKoAQAAWBRBDQAAoCUHtT4TPldeSYV5/4F31qi4/PDOWAAAAJ4vK6Gjpg65Wgt6n+nuqnhXUDOuSlC8rzqcvbsqXeVcdQAAABwkO6GjZgy+Uu/0/qu8Rfpdd9VOelvw/vtyVFR3bLlKk8767N8+Wre+vlI9EyLNyW/Hf5SqoEYmv32SqTwAAICXKPp6qdqUlso3LEy7/vWgwv7yF/k0cfJblwW1aZf31ezvtmlnXolsRqX2Varcl8PbAADAAUGlReq2Z5vK/APlLQI7dlT209MUcuKJ5uS3hZ8ulk9YaINloy6+uHmCWlx4oP55Tjfz/pAp/9O0y/oqOjTgsJ8MAAB4ruPWrtATr963/xJSt8gbtB0/XllTJqt46VLJZlP29Onmz0PYbM0X1Or6buxph/0kAAAAniikfz91XLDAvL++e7I6Lf60ydf9dFlQe/X7bU3e4Q2DO/6Z+gAAALRInb9YIt9WrVy6zyYFNeP4tLqMqTrKKu2KCPI3lwv3VSrY31cxYQEENQAA4DX2bdhQb9m+cWOjZYO6dm2eoFZ3uPODlAy9vmyHplzaW53iwsx1W7KLNe7dX3XVie0PuwIAAAAt1baLh1cfk+Z0NnxsWh3dU9c1/zFqUz/fqBeu7l8b0gzG/YfPT9bt83/Wxf0SDrsSAAAALXW4s8a+9euV9Z8nFXPjjQru19dcV7Y6RXmvvqrWD9yvI3HYQW1P0T7ZHcZsavXZnU7lFJcfUSUAAABaIv+EAx1U6ffcq7YP/kthQ4fWG+70j2+r7OnPKvyMMw57/4c9GdrgTrH613u/am3G3tp1v6bv1UPv/6ohnWMPuwIAAMAz7InvoBdOulTv9Rgmb1S+caP8ExMPWW+sK9+y5ej0qP3n0t667501uuC57+TvU53zqhwOndIlTpMv6X1ElQAAAC1fVlInvTh0lHn/cXmfgE7HKnfmTMVPnChbQPV8s86KCnOd8dhRCWoxYYF67YaB2ppdrM17imWz2dQpLlTH1jlmDQAAwNvEjx+vtNvv0KZThymwaxdzXfmGjeZJBkkvvnB0gloNI5h1jK2+RIIR1gAAgHcL2Feq9vm7VO5XPX2Xtwnu3Vudl3yuvR99rIqtW811Eeeco8jzz5dPSMjRC2oLVuw051bbnlNqLh8TG6IbB3fUFQOZngMAAG/V9Zflmjxz/yWknr9e3sgnJETRl1/msv0ddlB7+vMNeuW7bbr+5GPUv320uW7VznxN/DhVmQVlGnPm4U/mBgAA0NLlvDxTfrExirrkknrrC959V1V5eYq95ZbmP+vzvz/u1KQRvTT27G76a3Ib82bcf2JEL72+fMdhVwAAAMATFCxYoICOh540ENi5swreqr4eaLMHtUq7Q70Tow5Z3yshUlUNzK8GAADgDapycuTXOu6Q9cb1P6uys49OUBvRL0H/baDn7M2fdurivlyVAAAAeCe/+LYqW7XqkPXGOr/WrY9sn0ey0dsr0vTtpmz1S6o+Ri0lrcA8Pm1E/wTzWLUaxmWlAAAAvEH0yJHKemKSnJVVCj3pRHNdyfLl2vPkU2p1ww1HJ6htyCpSj4QI8/6OvJLqioX6mzfjsRo2MWUHAADwHq1uukn2ggLtfvRROSsrzXW2wEDF3HyTYv9269EJam/dOuiInggAAHi23DYJenXABUqPbKPj5X1sNpta33+/Ym+/XeVbt5ohLeCYY+Sz/yoFR3XCWwAAgLoyO3TVc2f8zbz/sLyXT2iognv1cs2+XLIXAAAAuBw9agAAwCX8KsoVV5ynKh9fd1fFY9CjBgAAXKJ7yvda8fx1mrnwcXdXxWMQ1AAAACyKoAYAAGBRBDUAAACLskRQm7dsuwZP/p+6PPSpLnr+e/NKB03x4ZpMHfPPT3TLvJXNXkcAANDy5M2fr82nna7fevfRtssuV9kvvzRpu72ffKL13borbfSd8uqg9tGaTD328XrdfcZx+uSuIUqOD9d1s39UTnH5726XlleqJz5Zr4HHtDpqdQUAAC1H4aJF2jN5imJHj1bHhe8qqGtX7bz5FlXl5v7udhXpGdrznycVfPwAuZvbg9or323TFQOTdNnxSTquTbgev7iXggN89fbKtEa3sTucumdBiu7963FKahVyVOsLAABahtzX5ipq5EhFXTJCgZ07q+2E8fIJClLBuwsb3cZptyvzgQcUd9edCkhMklcHtYoqh9Zm7NXgzrEHKuRjM5dX7Wh8+HP6l5sUExqgy09o/4fPUV5ersLCwtpbUdGB65ECAADXyYuL14Jef9VXnZrvAlJFRUX1PteNz/mGOCsqtG/dOoWefODSlzYfH4UOGqSylJRG95/z/AvyjWmlqEsvlRW4Najll1aYvWOxYYH11seFBSq7kaHPFdvz9PaKNE2+pHeTnmPSpEmKjIysvSUnJ7uk7gAAoL6Mjt019ty79cKgy5rtOZKTk+t9rhuf8w2pyi+Q7Hb5xsTUW+8bG6OqnJwGtyn9+WcVvPuu4idOlFW0qCsTFJdX6d4FKZp0SS+1Cm3aBU7HjRunMWPG1C5nZGQQ1gAAaKFSU1OVkJBQuxwYWL+z50jZi0uU+Y+xip/4qPyio2UVbg1q0SEB8vWxHXLigNGbZvSqHWxHbonS88t089wDZ3k6nE7zZ6d/LdL/7huqDjGh9bYxXsC6L6LRTQoAAFzPp6pSYeWlstuab8AuPDxcERERf1jOLzpK8vWV/aATB+w5ufKLPXDIVY3KtJ2qzMhQ2u13HFjpcJg/1vfoqU6fLlJA+z8+5MqjglqAn496JkTqh805OqtHW3Odw+HUD5tzdd3JHQ4p3ykuTJ/dc0q9dU99vkEl5VV65IIeio8MPmp1BwAA9fVY9a2eeuY+rUhIlp6+xK11sQUEKKhHD5UsW67wM84w1zkdDpUsX67oq68+pHzAsceq44cf1FuXPf1ZOUpK1OZf4+TftjqneN3Q581DOuq+d9aoV2KU+iZFavZ321VaUaWRA6rPtBizIEVtIoM09uxuCvL3Vde24fW2jwjyN38evB4AAHi3mFHXK/Of4xTUs6eCe/dS3tx5cpSVKWrEcPPxzLFj5de6jVrfN0Y+gYEK6tKl3va+4dXZ4uD1XhXULujTTnklFZq2ZKOyi8rVvV2E5t44UHHh1cOVGQVlstls7q4mAABoYSLOPVdVefnKnvGs7Nk5CuzeXe1nzawd+qzM3GWcCiorszmd+w/y8hLp6elKSkpSWlqaEhMT3V0dAAA8xqv3Pa0bnq4e+jwhfZ1L953upZ/f1o6RAAAAXoygBgAAYFEENQAAAIty+8kEAADAMxTEtNGH3U/R1lYJOsHdlfEQBDUAAOASaZ16aPqF/zDv3+PuyngIhj4BAAAsih41AADgGk6nfBx2d9fCo9CjBgAAXKLXiq+09cmLtOCNce6uiscgqAEAAFgUQQ0AAMCiCGoAAAAWRVADAACwKIIaAACARRHUAAAALIqgBgAAXKIwKkZLOg/Uz4nd3V0Vj8GEtwAAwCV2dOmjaZf827x/m7sr4yHoUQMAALAoghoAAIBFEdQAAIBL9Fj5lTY8dbHefJNLSLkKQQ0AALiEj8OpQHuV/OxcmN1VCGoAAAAWRVADAACwKIIaAACARRHUAAAALIqgBgAAYFEENQAA4BLFEdH6vkNvrW3byd1V8RhcQgoAALjEtm79NPWKJ8z7N7i7Mh6CHjUAAACLIqgBAABYFEENAAC4RPLP3yhl+hV67e1H3F0Vj0FQAwAALuFrr1LUvmKFVpS5uyoeg6AGAABgUQQ1AAAAiyKoAQAAWBRBDQAAwKIIagAAABZFUAMAAC5RGhahVe26alNse3dXxWNwCSkAAOASW5KP15PXTjXvX+XuyngIetQAAAAsiqAGAABgUQQ1AADgEt1SvtcPL4zSS+897u6qeAyCGgAAcAn/inK1K8pRTMled1fFYxDUAAAALIqgBgAAYFEENQAAAIsiqAEAAFgUQQ0AAMCiCGoAAMAl9gWHan3cMdoZ3dbdVfEYXEIKAAC4xKZeJ2rKjc+Z9y9xd2U8BD1qAAAAFkVQAwAAsCiCGgAAcIkuvyzXl7P+pmc//I+7q+IxOEYNAAC4ROC+UnXKy1BecKS7q+Ix6FEDAACwKIIaAACARRHUAAAALMoSx6jNW7ZdLy/dquzicnWPj9CEC3uob1JUg2Xf/GmnFq5K14bdReZyr8RIPXBWt0bLAwAA75U3f77yZs9RVU6OArt1U9uHHlRw794Nls1/+23t/eBDlW/aZC4H9UhW63vvbbS8V/SofbQmU499vF53n3GcPrlriJLjw3Xd7B+VU1zeYPnlW3N1YZ92evPWk7TwjsGKjwzWtbN/1O69+4563QEAgHUVLlqkPZOnKHb0aHVc+K6CunbVzptvUVVuboPlS39aoYjzzlWHua/pmLfelH/beO286WZVZmXJa4PaK99t0xUDk3TZ8Uk6rk24Hr+4l4IDfPX2yrQGy0+/op+uHXSMerSLVOfWYZpySW85ndL3m3OOet0BAMAB5YHB2hHVVllhrWQFua/NVdTIkYq6ZIQCO3dW2wnj5RMUpIJ3FzZYPuGpJ9XqqqsU1L27Ao89VvGPTZQcDpUsWyavHPqsqHJobcZe3XFqp9p1Pj42De4cq1U7Cpq0j7JKuyrtDkWF+Df4eHl5uXmrUVRUPWQKAABca2OfQZr8t1fM++c303MUFRWpsLCwdjkwMNC8HcxZUaF969Yp9tZbatfZfHwUOmiQylJSmvRcjrJ9clZVyTcy0jt71PJLK2R3OBUbVv8/OC4s0DxerSkmf7pebSKCzHDXkEmTJikyMrL2lpyc7JK6AwCAoy85Obne57rxOd+QqvwCyW6Xb0xMvfW+sTHm8WpNsWfqU/Jr3VqhJ58srz6Z4Ei98PVmfbRml9669SQF+fs2WGbcuHEaM2ZM7XJGRgZhDQCAFio1NVUJCQm1yw31prlCzsxZKlz0qTrMmyufZnoOywe16JAA+frYDjlxwOhNM3rVfs/Mb7boxa+3aP7NJ5pnijbm4C7Rut2lAADAdTqv/Ukfv/YfpbbuKE0+r1meIzw8XBERjX/u1/CLjpJ8fWU/6MQBe06u/GIbHoWrkTt7jnJnzVL7OXPMExDcya1DnwF+PuqZEKkf6pwI4HA49cPmXPXv0Ph0Gy8t3aIZX27W3BsHqnci03IAAGAFwaVF6pm1RR3zMt1dFdkCAhTUo4dKli2vXec0TgxYvlzBffs2ul3uK68o58UX1X7WTAX36il3c/vQ581DOuq+d9aoV2KU+iZFavZ321VaUaWRA5LMx8csSFGbyCCNPbubuWz0ok1bslHTr+irxOhg7SmqnpYjNMBPoYFubw4AALCImFHXK/Of4xTUs6eCe/dS3tx5cpSVKWrEcPPxzLFj5de6jVrfV32IVM6sWcp5dobaPfWU/BMSVJWdba73CQmRT2ioW9rg9mRzQZ92yiupMMNXdlG5ureLMHvK4sKrhyszCspks9lqy/93+Q5V2B26ff6qevu5+/TjdO9fuxz1+gMAAGuKOPdcVeXlK3vGs7Jn5yiwe3ezp6xm6LMyc5dxKmht+YI335KzslIZd99dbz/GPGxxd90pd7A5ncYsZN4jPT1dSUlJSktLU2JiorurAwCAx3j1vqm64en7tSIhWSekr3PpvtO99PPb7RPeAgAAoGEENQAAAIsiqAEAAJeo8g/QntBoFQSHu7sqHsPtJxMAAADPsL7fX/T4na+b97e7uzIegh41AAAAiyKoAQAAWBRDnwAAwCU6pa7U2/OnaUPcMc12CSlvQ1ADAAAuEVK8VwPTU2XzqhlamxdDnwAAABZFUAMAALAoghoAAIBFEdQAAAAsiqAGAABgUQQ1AADgEg4fXxUFBKvMP9DdVfEYTM8BAABcYt3xp6rXve+Y97mElGvQowYAAGBRBDUAAACLYugTAAC4RMffVmveghnaGNteEpeQcgWCGgAAcImwwjydsn21givL3V0Vj8HQJwAAgEUR1AAAACyKoAYAAGBRBDUAAACLIqgBAABYFEENAAC4jN3mI4fN5u5qeAym5wAAAC7x68DT1ekfH5r3uYSUa9CjBgAAYFEENQAAAIti6BMAALhEh02/6KX3XtLmmCQuIeUiBDUAAOASEfnZOnvjMv2UuNfdVfEYDH0CAABYFEENAADAoghqAAAAFkVQAwAAsCiCGgAAgEUR1AAAACyK6TkAAIBLrD3+VHW57z05bdImd1fGQxDUAACASzh9fFXh5+/uangUhj4BAAAsih41AADgEklb1unpj2drW3Q7LiHlIgQ1AADgElG5uzVi3Vf6KTHZ3VXxGAx9AgAAWBRBDQAAwKIIagAAABZFUAMAALAoghoAAIBFEdQAAAAsiuk5AACAS6T2P0V9/v6m7D6+WuvuyngIghoAAHAJu5+/9gaHu7saHoWhTwAAAIuiRw0AALhEwrb1emLxPG2PjucSUi5CUAMAAC7RKjtTV61ZzCWkXIihTwAAAIsiqAEAAFgUQQ0AAMCiCGoAAAAWZYmTCeYt266Xl25VdnG5usdHaMKFPdQ3KarR8p/8sktTl2xQen6ZOsaE6p/ndNOwbq2Pap0BAID15c2fr7zZc1SVk6PAbt3U9qEHFdy7d6PlCxcvVvb0Z1WZkaGADh3U+v77FDZ0qLy2R+2jNZl67OP1uvuM4/TJXUOUHB+u62b/qJzi8gbL/7wjT39/a7UuPz5Ji/4+RGf2aKNbX1+pDbuLjnrdAQCAdRUuWqQ9k6codvRodVz4roK6dtXOm29RVW5ug+VLV61Wxn33K+rSS9TxvYUKO+N0pd15l/Zt3Ch3sTmdTqfbnl3SRc9/rz6JkXr0op7mssPh1KDJX+r6k4/RHad2PqT86DdWqazCrjmjTqhdd/Hz3yu5XYSeGN7rD58vPT1dSUlJSktLU2JiosvaUV5lV3ZukXyzdjdaxhEeLmdUdPVCZaV8d+9qvGxYmJzRraoX7Hb5ZmY0WtYZEiJHTOz+DR3yzUhvvGxwsByxcfsXnPJNT2u8bFCQHHEHeip903Y2XjYwUI7WbQ6UTU+XnI6Gy/r7y9E2/kDZjAzJYW+4rJ+/HPEHyvpkZspmr2q4rK+fHO3aHSi7e5dslZUNV9jmI3ud198na7dsFRWNlLXJnph0oOyeLNnKG/4iYbAntT9QNidbtrKyxssa+7XZqsvm5shWWtp42XYJkq9vddm8XNlKShovG99O8qvuMLfl58mnuLjxssZr4e9fXXZvgXwKCxsva7zGgYHVZQv3ymfv3sbLGr87QUH7yxbKZ29B42WN38ng4OqyxcXyyc9rtKyjVYycoaHVZUtKzP+LRstGt5IzLKy6bGmp+X/caNmoaDnD98+oXlYm35zsxstGRskZEVG9UF4u3z1ZjZeNiJAzcv8IQUUF7xE1ZXmP8Mj3iAnfZGhNapoqff20csY1cqX0I/j83nbZ5Qru2VNt//2wuex0OLT51GGKvuYaxd56y6HPce+9cpaWKenllw7s4/LLFdStu+InjJfXDX1WVDm0NmOv7ji1U+06Hx+bBneO1aodDb+pr96Rr5v+cmy9dad0idPn6xp+8ysvLzdvNYqKmqfnbV1mocZNeEOfzbmz0TIvnnipppw6yrzfPn+Xvpl56C9Jjdf6n6/xf73NvB9XnK8Vz1/baNkFvf6qsefebd4PLS/Vumcua7TsR93+orsuGmve93HYtfXJixot+0WnE3TzpY/ULm94argC7Q2/qX3fobeuvuKJ2uXV069U9L6G/69Xx3fV8Oum1i7/8MIotStq+AP0t9gOOvum52uXv5x1mzrlNfwhsyOqrYb+7ZUDbX3tbvXK2tJg2ezQKA2687+1y2/P/4cGpqc2WLY4IFg9732ndnnu2//W0G2rGixrt/mo0z8+rF1+8b0ndM7GH9SYrvctVLlfgHn/6Y+nasS6rxot2/fvb6gguDocPP7Zc7o6ZXGjZQfd/qp2RVR/2D74v1d0y4r3Gy17+s0vaktM9YfMmG9e19+XLWi07PnXP6O1bau/QN2+/B2NXTq30bIjr5qsFUnVX8Cu//kjTfji5UbLXj9ygpYeO8C8f9maz/Wfxc82Wva2i8dpcdfB5v0LUpdqxkdPNlr23vPG6L2ep1W3c/OPmv3uxEbLPnjmHZrf71zz/snbU/TGgocaLfvYsBv1ysAR5v1+Gb/pvf/e32jZqUOu1ozBV5r3u2Zv5z1iP94jPPM9Iv36Z7Rr/3tEcykqKlJhnbAYGBho3g7mrKjQvnXr6gUym4+PQgcNUllKSoP7LktZo5hR19dbFzZ4iIq+/FLu4tagll9aIbvDqdiw+v/BcWGB2pLd8DcB4zi22LCAg8oHNDpUOmnSJE2YMEHNzfi+4+/ro337/6Aa5OerQL/q0WZ/v98v6/Tzqy0b4GdrctlA++/v11GnrI/D+btljWu21ZQ1GG8Wzv3f7A4p61u/bIVfQKP7rvSvX7bSz7/RslV+TS9beUjZxutgtKVuWaOtjZWtOGi/v1fWYbM1uawhwCi7v7zxbf/3ygb6+tTu2/EH+/Wv87tmfGt2Wdk6dfijsn519uvj6/u7ZX3rlvX7g7K+dcr6/34djH3VlDW2+72ytjp/G0bdm172j/7uD5TlPYL3CE9/jzgaQ3TJyfUn033kkUc0fvyhvV1V+QXVvc0xMfXW+8bGqHzbtgb3bRzH5lvT+1ynvLHeK4c+swr36cQnvtS7t5+sAR2iD4SrReu1fFuePhhd/a25ruMeXKSnRvbRRX0Tate9vmy7pn+5SSsf+usf9qhlZGSYL7Krhz4BAEDzSd8/9JmamqqEhIQ/7FGrzNqjzUOHqsObbyikX7/a9VlPPqnSFSvV8e1DewbX9+qtdpMmKfL8A5e/ynvjDeU8/4K6fP+dvK5HLTokQL4+tkN6w4xeM6NXrSHG+pzi+scJZBdXHNIr19gLWLe7FAAAtCzh4eGKqDlG9Hf4RUeZx+zZDzpxwJ6TK7/Y2Ia3iY2V/aBjWX+vvMef9Wl06fZMiNQPmw/8pxgnE/ywOVf9OzQ8PUe/DtH1yhu+25St/nV65AAAgHezBQQoqEcPlSxbXrvOOJmgZPlyBfft2+A2wX371CtvKPnhh0bLe8X0HDcP6ag3V6Tp/35O1+Y9RXrw/bUqrajSyAH7D1xckKIpi3+rLX/j4GO0dGO2Zn2zVZv3FGvako36NWOvrh90jBtbAQAArCZm1PUqeOcdFbz3vsq3bNHu8RPkKCtT1Ijh5uOZY8dqz9Sna8u3uvY6FX/3nXLnvKryrVuVPeM5la1bp+irr/LeCW8v6NNOeSUVZuDKLipX93YRmnvjQMWFVw9XZhSUyVbn4NQBHVpp+hX9NPXzDXrysw06JjZEM689Xl3b7j+tHgAAQFLEueeqKi9f2TOelT07R4Hdu6v9rJm1Q5mVmbvMqVhqhPTvp4SnnlT2M9OVPW2aAo7poKTnZiioSxfvnUftaGuuedQAAEDzSffSz2+3D30CAACgYQQ1AAAAiyKoAQAAWBRBDQAAwKIIagAAABZFUAMAALAoghoAAIBFEdQAAAAsiqAGAABgUW6/hNTR5nA4zJ+7du1yd1UAAEAT7dr/uV3zOe4tvC6oZWVlmT8HDhzo7qoAAIAj+Bxv3769vIXXXeuzqqpKq1evVps2beTj49qR36KiIiUnJys1NVXh4Z53kXhPb583tJH2tXye3kba1/I1VxsdDocZ0vr16yc/P+/pZ/K6oNacCgsLFRkZqb179yoiIkKextPb5w1tpH0tn6e3kfa1fN7QxqOJkwkAAAAsiqAGAABgUQQ1FwoMDNQjjzxi/vREnt4+b2gj7Wv5PL2NtK/l84Y2Hk0cowYAAGBR9KgBAABYFEENAADAoghqAAAAFkVQAwAAsCiC2u94/vnndcwxxygoKEgnnniifvrpp0bLnnrqqbLZbIfczjvvPPPxyspKjR07Vr169VJoaKjatWun6667TpmZmfKUNhrGjx+vbt26mW2Mjo7WGWecoR9//FGe0r66brvtNvPxZ555Rp7SvlGjRh3y+Nlnny13ao7XcP369brwwgvNSTmN39UTTjhBO3fulCe0r6HHjduTTz4pd3F1G4uLi3XnnXcqMTFRwcHB5iz4L730kjylfcbs+8bfovE5ERISYv4Nbtq0SS2hfQbjPbFr167ma5OUlKR7771X+/bt+1P79GrGWZ841FtvveUMCAhwzpkzx7lu3TrnLbfc4oyKinJmZWU1WD43N9e5a9eu2tvatWudvr6+zldffdV8vKCgwHnGGWc4FyxY4Pztt9+cy5Ytcw4cONA5YMAAp6e00TB//nznkiVLnFu2bDEfv+mmm5wRERHOPXv2OD2hfTUWLlzo7NOnj7Ndu3bOadOmOd2hOdp3/fXXO88+++x65fLy8pzu0hxt3Lx5s7NVq1bOBx54wLlq1Spz+YMPPmh0ny2tfXUfN27Gvm02m/k36Q7N0UZjH506dXJ+9dVXzm3btjlffvlls4zxOrb09jkcDudJJ53k/Mtf/uL86aefzM+LW2+91dm+fXtncXGx5dtnfAYEBgaaP43X5rPPPnPGx8c777333iPep7cjqDXCCFGjR4+uXbbb7eaH8qRJk5q0vfHhHR4e/rt/WMYfoZGVd+zY4fTUNu7du9ds4xdffOH0lPalp6c7ExISzDfYDh06uC2oNUf7jKB20UUXOa2iOdp4+eWXO6+55hqnFRyNv0Hj9TzttNOcntTGHj16OB999NF65fr37+988MEHnS29fRs2bDDfM433l7r7jIuLc86aNctp9fYZZQ/+fRszZoxz8ODBR7xPb8fQZwMqKir0888/m8N2NYwLuBvLy5Yta9I+Zs+erSuuuMIcVmmMcR00o8s7KipKnthG4zlmzpxpDi/16dNHntA+46LA1157rR544AH16NFD7tKcr9/XX3+t1q1bm0MXt99+u3Jzc+UpbTRev08++URdunTRWWedZbbTGHZ5//335Yl/g8YQmtHem266Se7QXG08+eST9eGHHyojI8PobNBXX32ljRs36swzz1RLb195ebn50xgSrLtPY/LY7777TlZvn/HaGNvUDGVu3bpVixYt0rnnnnvE+/R2BLUG5OTkyG63q02bNvXWG8u7d+/+w+2NX9C1a9fq5ptvbrSMMV5vHLN25ZVXuuWitc3Zxo8//lhhYWHmG820adO0ZMkSxcbGyhPaN2XKFPn5+envf/+73Km52mccCzNv3jx9+eWXZluXLl2qc845x3wuT2jjnj17zOObJk+ebLb1888/1/DhwzVixAizrZ72PjN37lyFh4eb7XOH5mrjjBkzzOPSjGPUAgICzNfSOObplFNOUUtvn3GMb/v27TVu3Djl5+ebwcb4W0xPT9euXbtk9fZdddVVevTRRzVkyBD5+/urU6dO5nF5//rXv454n97Oz90V8ETGNyTjpIGBAwc2+LhxYsFll11mfhN88cUX5WltHDZsmFJSUsw/yFmzZpltNU4oMHovWnL7jG+B06dP16pVq8ye0JassdfP+GZfw3i8d+/e5hut0ct2+umnq6W30ehRM1x00UXmAc6Gvn376ocffjAPRh86dKg85X3GMGfOHF199dX1emdaksbaaAS15cuXm71qHTp00DfffKPRo0ebB9/X7alpie0zws3ChQvNXtBWrVrJ19fXbJPxhaklXEjIeK944okn9MILL5i91Zs3b9bdd9+tiRMn6uGHH3Z39VoketQaYPT+GH8cxrBBXcZy27Ztf3fbkpISvfXWW40ONdSEtB07dpg9Te7oTWvuNhpd+J07d9ZJJ51kvhEZPVDGz5bevm+//dbskTG+7RptMm7G63jfffeZZy95yutX17HHHms+l/Fme7Q1RxuNfRqvm9EbU1f37t2P+lmfzf0aGr+vGzZs+N0et5bYxrKyMrN35umnn9YFF1xgfpkwzgC9/PLL9dRTT8kTXsMBAwaYX3YLCgrMXrTFixebhyAYf49Wb58RxozDQ4zfOyOEGj3WRnCbNGmS+UXpz/yfeSuCWgOMrnTjD8UY/qlh/IIZy4MGDfrdbd955x3zGINrrrmm0ZBmnGb9xRdfKCYmRp7WxoYY+6057qIlt8948/nll1/MN9Cam/EN3jhe7bPPPpMnvn7GcIvxAREfH6+jrTnaaOzTmIrDCDB1Gcc3GT0znvQaGl+OjP0f7eNDm7uNxvuocTOOa6rL+PCv6TH1lNfQOL43Li7O/MxYuXKl2RNs9faVlpY2+NoYjB7BP/N/5rXcfTaDVRmnDxunGL/22mvO1NRU8/Ro4/Th3bt3m49fe+21zn/+85+HbDdkyBDzrLKDVVRUOC+88EJnYmKiMyUlpd7p2eXl5U5PaKNx1tK4cePMqUe2b9/uXLlypfOGG24wn6PuGUwttX0NcedZn65uX1FRkfP+++83Xz/jtHrjTF3jTLrjjjvOuW/fPqc7NMdraEyt4u/v75w5c6Zz06ZNzhkzZpjTI3z77bdOT/kdNc62DgkJcb744otOd2uONg4dOtQ889OYnmPr1q3m1BZBQUHOF154wekJ7Xv77bfNthlTqrz//vvm+8yIESOc7nC47XvkkUfMs1jffPNN87X5/PPPzalULrvssibvE/UR1H6H8QZuzF1jzPdinE68fPnyem8UxlQGdRnz3RjZ1/jFPJjxwWc81tDN+IP0hDaWlZU5hw8fbp5mbezPmDvHCKfGNCSe0D6rBTVXt6+0tNR55plnmtMAGEHGaJsxv5G73zyb4zWcPXu2s3PnzuaHuzEfnvFh6EntM+YVCw4ONudvtAJXt9H4gjtq1CjzvcZ4Dbt27eqcOnWqOQeZJ7Rv+vTp5pd64+/Q2O9DDz3kti/0h9u+yspK5/jx481wZrw2SUlJzjvuuMOZn5/f5H2iPpvxj7t79QAAAHAojlEDAACwKIIaAACARRHUAAAALIqgBgAAYFEENQAAAIsiqAEAAFgUQQ0AAMCiCGoAAAAWRVADYFnGxe6feeaZZn2O1157TTabzbzdc889Td5u/Pjxtds1dx0BeC+CGgCvFxERoV27dmnixIlN3ub+++83t0lMTGzWugHwbn7urgAAuJvRK9a2bdvD2iYsLMy8+fr6Nlu9AIAeNQAuN3PmTLVr104Oh6Pe+osuukg33nijeX/Lli3mcps2bczAc8IJJ+iLL75odJ/bt283A1VKSkrtuoKCAnPd119/Xbtu7dq1Ouecc8x9Gvu+9tprlZOTc1j1/+233xQSEqI33nijdt3bb7+t4OBgpaamHta+AODPIKgBcLmRI0cqNzdXX331Ve26vLw8LV68WFdffbW5XFxcrHPPPVdffvmlVq9erbPPPlsXXHCBdu7cecTPawS30047Tf369dPKlSvN58vKytJll112WPvp1q2bnnrqKd1xxx1mfdLT03XbbbdpypQpSk5OPuL6AcDhYugTgMtFR0ebvVpGj9Tpp59urvu///s/xcbGatiwYeZynz59zFsN4/iw9957Tx9++KHuvPPOI3re5557zgxpTzzxRO26OXPmKCkpSRs3blSXLl2avC8jpC1atEjXXHONAgICzB6/u+6664jqBQBHih41AM3C6Dl79913VV5ebi7Pnz9fV1xxhXx8fGp71IwD8rt3766oqChzqHL9+vV/qkdtzZo1Zi9ezfFjxs3oHasZaj1cRsj75ZdftGrVqtqzQwHgaKJHDUCzMIYxnU6nPvnkE7M36ttvv9W0adNqHzdC2pIlS8whxs6dO5vHf1166aWqqKhocH81Ac/YZ43Kysp6ZYzwZzyvMUR5sPj4+CMKfiUlJeZzG2d4Hsk+AODPIKgBaBZBQUEaMWKE2ZO2efNmde3aVf379699/Pvvv9eoUaM0fPjw2pBlnDDQmLi4OPOnEZiM4U1D3RMLDMb+jV48Y/41P78/9/ZmHFNn1O/BBx80n9PoITR61oxACQBHC0OfAJqNEW6MHjVjCLHmJIIaxx13nBYuXGiGLaPn6qqrrjrkLNG6jIB00kknafLkyeYQ6dKlS/XQQw/VKzN69GgzYF155ZVasWKFOdz52Wef6YYbbpDdbj+suhsnDxjHthnP8fTTT5vbG72AAHA0EdQANBvjDMxWrVppw4YNZhCrywg/xkkHJ598sjlcedZZZ9XrcWuIEfiqqqo0YMAA8yoCjz32WL3HjSlBjJ46I1SdeeaZ6tWrl1nOOAauZui0KebNm2eeSPD666+bPXOhoaH673//q1mzZunTTz89zP8FADhyNmfdAz4AwMsYJwkYYc6Y2uNIGMOsxvaHc/kpAGgqetQAeL29e/eaZ4iOHTu2ydsYU4AY2/yZs1QB4I/QowbAqxUVFZmT4hqMIVJjrremMI6FM241JzpERkY2az0BeCeCGgAAgEUx9AkAAGBRBDUAAACLIqgBAABYFEENAADAoghqAAAAFkVQAwAAsCiCGgAAgEUR1AAAAGRN/w9zZ3Q67jPjMAAAAABJRU5ErkJggg==", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "stochast.distribution = DistributionType.deterministic\n", "stochast.mean = 0.8\n", "\n", "stochast.print()\n", "stochast.plot()" ] }, { "cell_type": "markdown", "id": "cf1f021f", "metadata": {}, "source": [ "### Normal distribution" ] }, { "cell_type": "code", "execution_count": 56, "id": "45575836", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Variable:\n", " distribution = normal\n", "Definition:\n", " location = 2.0\n", " scale = 0.5\n", "Derived values:\n", " mean = 2.0\n", " deviation = 0.5\n", " variation = 0.25\n" ] }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "stochast = Stochast()\n", "stochast.distribution = DistributionType.normal\n", "stochast.location = 2.0\n", "stochast.scale = 0.5\n", "\n", "stochast.print()\n", "stochast.plot()" ] }, { "cell_type": "markdown", "id": "1d06e2ba", "metadata": {}, "source": [ "### Log-normal distribution" ] }, { "cell_type": "code", "execution_count": 57, "id": "23cb49b6", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [ "statistics", "gallery", "1" ] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Variable:\n", " distribution = log_normal\n", "Definition:\n", " location = 0.0\n", " scale = 1.0\n", " shift = 0.0\n", "Derived values:\n", " mean = 1.6487\n", " deviation = 2.1612\n", " variation = 1.3108\n" ] }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "stochast = Stochast()\n", "stochast.distribution = DistributionType.log_normal\n", "stochast.location = 0.0\n", "stochast.scale = 1.0\n", "stochast.shift = 0.0\n", "\n", "stochast.print()\n", "stochast.plot()" ] }, { "cell_type": "markdown", "id": "46a80939", "metadata": {}, "source": [ "### Uniform distribution" ] }, { "cell_type": "code", "execution_count": 58, "id": "53a47a7e", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Variable:\n", " distribution = uniform\n", "Definition:\n", " minimum = -1.0\n", " maximum = 1.0\n", "Derived values:\n", " mean = 0.0\n", " deviation = 0.5774\n", " variation = 0.0\n" ] }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "stochast = Stochast()\n", "stochast.distribution = DistributionType.uniform\n", "stochast.minimum = -1\n", "stochast.maximum = 1\n", "\n", "stochast.print()\n", "stochast.plot()" ] }, { "cell_type": "markdown", "id": "949a0c75", "metadata": {}, "source": [ "### Triangular distribution" ] }, { "cell_type": "code", "execution_count": 59, "id": "e1aea910", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Variable:\n", " distribution = triangular\n", "Definition:\n", " minimum = 0.0\n", " shift = 2.0\n", " maximum = 3.0\n", "Derived values:\n", " mean = 1.6667\n", " deviation = 0.6236\n", " variation = 0.3742\n" ] }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAmoAAAG2CAYAAADPxqq2AAAAOnRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjEwLjAsIGh0dHBzOi8vbWF0cGxvdGxpYi5vcmcvlHJYcgAAAAlwSFlzAAAPYQAAD2EBqD+naQAAaS1JREFUeJzt3Qd4FFXXB/B/2qb3XiF0Qu8EEGmKoiio2EVFLKBYUF9E/VQUBV99RURQwAaKigoWFFEERXoRqaGlAGmkl01PdvM9dybZJLCBJCSZ3Zn/73nmyexmdnMTyObsueeea1NZWVkJIiIiIrI4tkoPgIiIiIjMY6BGREREZKEYqBERERFZKAZqRERERBaKgRoRERGRhWKgRkRERGShGKgRERERWSgGakREREQWioEaERERkYVioEZERERkoexhAVbuPI2lW+KRUVCKrsEemHNDN/QO9zJ77W1Ld2J3QvYF94/s7I9P7x/YCqMlIiIiah02Su/1ue5gCp7+5iDmTuyOPuFe+GR7An45lIrNz4yAn5vjBdfnFpWhzGCsdbsc1y7civk39cCk/uGtPHoiIiIiFU99frQtAbcPDMet/cPRMdAdr0/oAWedHb7Zl2j2ei8XHQLcnUzH1lOZcHaww3U9g1t97ERERESqnfosqzDiSHIepo9ob7rP1tYGQzv4Yf+Z3AY9xzd7EzG+VzBcdOa/ldLSUumoVlFRgWPHjiE8PBy2torHqURERNQARqMRaWlp6NOnD+ztLaJyq1Uo+p3mFJXBYKy8YIrT380RcRmFl3z8gcRcnEjT481betZ7zbx58zBnzpxmGS8REREpa8+ePRgwYAC0wqpD0tV7E9ElyL3ehQfC7NmzMXPmTNPtxMREdO/eXfqHDg7mdCkREZE1SE1NxcCBAxEYGAgtUTRQ83bRwc7WBpkFNVOTglj9KbJqF1NUVoGfD6bgqas6XfQ6R0dH6ajm6ekpfRRBWlhY2GWNn4iIiFqXrcbKlhT9bnX2tuge6okdsZmm+4zGSuyIzULfNvVnyQSxMrTUYMTEPqGtMFIiIiKi1qd4WDp1WCS+2puI7/5JQmy6Hi/8cETKlk3qJ7famLn6AN7ccPyCx4lVoVdHBcLbVafAqImIiIg0UKM2vlcIsgvLsGDjSWToS9E1xAMrpgyEv7s8XZmcWwwbG5s6j4nLKMDe0zn4/AE2uCUiIiL1UrzhbWtLSkqSWnOIRQWsUSMiIrIOSRr9+6341CcRERERmcdAjYiIiMhCMVAjIiIislAM1IiIiIgsFAM1IiIiIgvFQI2IiIjIQjFQIyIiIlUq2rsXiY9Mw6krhuNYl67Q//HHJR9TuHsP4m+6Ccd79ETs1WORu/Z7KImBGhEREamSsbgYjl06I/Cl/2vQ9WVJSUh85BG4DhyEyB++h8/kyUj9v/9DwdZt0OzOBEREVD/Rk7zMYISjvZ3SQ7F+paVAeTng5lZz35kz9V/v5AQEBtbcPntW/IOYv9bREQgKqrmdmCg2rzZ/rU4HBAfX3E5OBioqzF9rbw+E1trTOiVF/h7MsbMDajeCTU0FysrMXys2Ng+Xt2qUpKUBJSWoV5s2Nefp6UBxcf3XRkQA5+0opBS34cOlQ0huwPW5X38NXVgoAp+bJd12bN8exfv/QfaKFXC7YhiUwECNiMiCzVkXgy92ncH304eiR5in0sOxDvn5wI4dwP79wIEDwIkTcjCUlQVMmgR8803Nte3a1R9QjR0LbNhQc7tbN6CgwPy1w4YBW7fW3B4wQA5+zOnbF/jnn5rbIpCIjzd/befOwPHjdcd05Ij5a0WQJgLEahMnArt3m7/Wx0f+eVS7805g8+b6g9DaQdwDDwA//4x6iaBTBI0tRK/XI1/8G5uG5ygdzaHowAG4REfXuc916DCkzZsHpTBQIyKyUGJf45U7T8NYCfx8KIWBWkOI4ENkturLUJ2fYRJZs4tlvs6/tr7nNXetOMw5P6gQt1v72vPvF+Nv6PNe7NpWEBUVVef2yy+/jFdeeaVZntuQkQl7X78699n7+cJYUABjSQlsFfi+GagREVmo9zadkoI0YWd8rewHycT026pVYhNIoPoPta+vnIUSGaBBg4DeveVMmJjmCwkBvLzqPkdhYcO/XkZGw689fbrh18bENPzaffsafu2WLQ2/9tdfG37tmjVQUkxMDEJrTQc3VzbNUjFQIyKyQLHpevx0MMV0+0hyHvJLyuHh5KDouCyCCJgWLQI++ADIzJQzPk89BXhWZRy3b685J9Vxd3eHh4dHizy3nb8fKrIy69xXkZkFWzc3RbJpAld9EhFZoPc2xUp161dFBSLSz1XKrO1NyIamibqkl1+W68pee00O0tq2BebOrVu8ziCNmsild28U7dxV577CHTvgLDKzCmGgRkRkYU6l6bHukJxNe2J0Rwxu5yOd79Ly9KcodG/fHnj1VbmgXxTkf/stcOoU8MwzQAtlWMi6GQsLUXLsmHRUt98Q5+Vi9axYwPq/d5AyS17hKXjdfrt0Tdpbb6E0Ph7ZX36J/A0b4HPvvYp9D5z6JCKyMAs3nZKyaVdHBaJ7qCcGt/PFV3sSsStewxm1rl3lhQCi/kxk0G6+2WJaQJDlKj5yFGdrBVnp89+UPnpOmICQ+fNQkZGB8pRU0+d1YWEI//BDpM2fj5yVn8M+KAjBr72mWGsOgYEaEZEFOZmmxy+H5T8cT47pJH0UgZpwNCUPecXl8HTWQJ2awQBs3Ahcc418W/Qd++svoEcPubcYUQO4DhqIrsflbJo5Ilgz95h236+FpeDUJxGRBVn4h5xNu6ZbEKJC5Om8QA8ntNNSnZpYMTlyJHDttXX7dfXpwyCNNIeBGhGRhTh+Lt+UTXtiTMc6nxvc3lcbbTrWrQN69ZKbx4odBOprMEukEQzUiIgsKJsmjOsRhK7BdYvjq6c/VbugQDSdFSs5b7hBXt05eLC8q8Dttys9MiJFMVAjIrIAx1Lz8euRc9L5E6Pl2rTaqld+xqTmI7eonv0brZXImomtnV56Sb49fbrcrFWs8iTSOAZqREQWlE27rkcwOge5X/D5AHcntPd3lerX9qitTm39emDtWnlrouXLgcWLL9ySiUijWJVJRKQwsZpzw9FzUreJ82vTzp/+jMsolNp0XN0tCKpx663yAgKxsfmQIUqPhsiiMKNGRGRB2bROgRdm06pFq2lBwdGj8gbq1f7zHwZpRGYwUCMiUpDYw/P3mDQ5mza6/myaMCjS17Q61Krr1A4dAkaMAMaPB4qKlB4NkUVjoEZEpKB3q7Jp43uGoONFsmmCv7sjOga4SXVqVrtLweHDwOjR8j6d5eXybgNEVC8GakRECmbT/jiWBlsb4PFLZNNU0abjyBFg1Cg5SOvfH/j9d8DLS+lREVk0BmpERAp594+T0scbeoWgQ4Bbgx5TXadmdYFafDxw1VV1gzRvb6VHRWTxGKgRESngUFIu/jiWLmXTZjQwmyYMjJT7qR0/p0d2oZVMG6anA2PHAufOAT17MkgjagQGakRECtam3dg7FO39G5ZNE/zcHNEpUL5+T4KVZNXS0gC9HmjbFtiwgUEaUSMwUCMiamUHEnOx+XhVNm1Uh0Y/PrqqTm1nnJUEaj16ANu3y5m04GClR0NkVRioEREpVJs2oU8o2jUim3bhggILX/mZlFRzLraD6tjwKV4ikjFQIyJqRfvP5uCvExmws7XB46OaFrgMqgrUTqTpkVVQCou0ZAnQuTPwww9Kj4TIqjFQIyJSYBeCiX1C0dbPtUnP4eOqQ5eq/UB3W+K+n3/8ATz+uNzM9tgxpUdDZNUYqBERtZJ/zuRgy0k5m9aU2jRz058WV6eWkCDv3WkwAPfcAzz3nNIjIrJqDNSIiFq5Nu2mPqFo49u0bJpFN74tKQFuuQXIyQEGDgSWLYO0NxYRNRkDNSKiVvDPmWxsPZUJeymbdvlF9YMifaQY6FR6ATItpU7tqaeA/fsBX1/g228BJyelR0Rk9RioERG1ggUb5dq0m/uGIcLX5bKfz1uqU/OwnKza+vXAhx/KGbQvvgAiIpQeEZEq2Cs9ACIitdt7OhvbYuVs2mOXWZtW2+B2PjiWmi8Fatf3DIGixPZQzzwDuLgA11yj7FiIVETxQG3lztNYuiUeGQWl6BrsgTk3dEPv8Po36c0rLsfbv53AhqPnkFdUjlBvZ7x0fRRGdglo1XETETXUgo1ybdqk/mEI97n8bFrtxrefbj9tGQsKHByAt94CKiuVHgmRqigaqK07mIK5Px/D3Ind0SfcC59sT8Dkj3dj8zMjpG1SzldWYcQ9H++Gr6sOH9zVF4EeTkjOLYaHk4Mi4yciupTd8VnYEZcFBzsbPDqy+bJp1ft+ipnGuIxCpOtLEOCuQE3Yr78CY8bIgZrAxQNE6qlR+2hbAm4fGI5b+4ejY6A7Xp/QA846O3yzL9Hs9eL+3KJyLJvcH/3b+kjvTMXKp6gQuU6DiMhS9/Sc1D8cYd7Nl00TvFx06GqqU1Ogn9rGjcC4ccCwYfKKTyJST6AmsmNHkvMwtINfzWBsbaTb+8/kmn3MH8fS0DfCCy/9eAT9527E1Qu2YPGfsTAYmWonIssjasd2xrdMNq1adHuF2nRkZQH33Sef9+vHFZ5EagvUcorKpADr/ClOfzdHqV7NnLPZRVh/5Jz0uE/vGygtcV++NR6LNsvvWM0pLS1Ffn6+6dDr9c3+vRARXaw2TcwahHo5t8jXUKSfmqhDe/hhICVF3ibq7bdb72sTaYxVtecQrw1+rjrMu6kneoR5YnyvEDw2sgNW7T5b72PmzZsHT09P0xEVFdWqYyYibdoRlylt76Szs22xbFrtOrX4jEKk5bfS9OOXXwJr1gD29sCqVfJKTyJSV6Dm7aKTtlE5v1GjyKaJrJo5/u6OiPR3lR5XrX2AGzL0pdJUqjmzZ89GXl6e6YiJiWnm74SIqK7Kykq8W9U37bYB4QhpoWya4OnsgG5VdbqtklVLTweeeEI+f+kledqTiNQXqOnsbdE91BM7YjNN9xmNldgRm4W+bcy35+jfxhunM4uk66olZBQiwN1Rej5zHB0d4eHhYTrc3eWNjImIWopY5bnntJxNmz6yfYt/PdGmo9UCtZkz5fq03r25jyeR2qc+pw6LxFd7E/HdP0mITdfjhR+OoKisApP6hUufn7n6AN7ccNx0/d2D20h91OasO4r4jAJsPp6GJX/FYnJ0GwW/CyKi87JpVXt63jEwHMGeLZdNu7BOrRVWfr74IjB8OPDJJzUtOYhInX3URI1ZdmGZVHArpi+7hnhgxZSB0hSnIHqk2dTqySOmD8TnX/s5Btcs3IogDyfcPzQSj1zZ8u9YiYgaYntsFvaezpGy/NNGtFxtWm0DIn0gKkISMgtxLq8EQZ4tuAKzSxfgr7/YL41IKzsT3DukrXSYs/rh6Avu69fGGz88OrQVRkZE1Phs2oKqbNqdAyNaNmCqRTT9FqUkh5LypOnPCX1Cm/+LJCYC4fJsB4M0otZjVas+iYgs2dZTmfjnTA4cpWxa62b6W7RNx9atQGQk8NRT3CKKqJUxUCMiau5s2qAIaYu71lS9oEA02G1W5eXA9OmAwQAUFjKbRtTKGKgRETWDLScz8O/ZXDmbpkDdbP+23lLrojNZRUjJLW6+J160CDhyBPD1FY0pm+95iahBGKgRETVLNu2UaXV6QCtn0wT3qjq1Zp3+TEoCXn5ZPn/zTTlYI6JWxUCNiOgy/XUyAwcTc+HkYKvoKvTB7XyaN1ATPdMKCoDoaOD++5vnOYmoURioERFd9i4Ecm3aPYPbmNoLKWFwc9apbdwIfPstYGsLLFkifySiVsffPCKiy/DniXQcTMqTsmkPDVe2p+OAtj5SnVpidjGScoouf6soT0/gscfkXQiISBEM1IiILmsXArk2bXJ0W0WzaYKboz16VNWp7b7cXQruuguIjQVefbV5BkdETcJAjYioiTYdS5eazDo72OGh4e1gCaLbN+P0p5+fnFUjIsUwUCMiamo2bZNcmzZ5SBv4uSmbTWu2xrcLFgC//MLGtkQWgoEaEVETbIxJw5HkfLjo7PCwwrVptfVv4w17Wxsk5RQjMbuRdWqnTgGzZgHXXw/s2dNSQySiRmCgRkR0GbVpYq9iH1cdLIWroz16hjWxn9qzz8o7EVx7LTBoUMsMkIgahYEaEVEj/R6ThpjUfLjq7PDgFZZRm3bZbTrEfp4//gjY2QH/+1/LDY6IGoWBGhFRIxiNlptNO39BgVj5KbJ/lySuee45+XzqVKBr1xYeIRE1FAM1IqJG+D3mHI6l5kutMCwxmyb0a+MNBzsbJOeKfmoN2Pdz3Tpgxw7A2Rl46aXWGCIRNRADNSKiJmTT7hvSFt4WmE0TXHT26BXmJZ3vjLvE9KfBADz/vHz+xBNASEgrjJCIGoqBGhFRA204eg7Hz+nh7miPqVdEwpI1uE2H2Bpq7lxgyBDgP/9pncERUYMxUCMiamA2bWFVNu3+oW3h5WKZ2TRzjW8vWqdmYwNMmABs3w54e7feAImoQRioERE1wK9HzuFEmh7uTvZ4YJhl1qbV1jdCrlNLzSvB2fr6qRmNrT0sImokBmpERA3JplXtQjBlaCQ8XRxg6Zx1dugdfpE6Nb0e6N4deOcdoKys9QdIRA3CQI2I6BJ+OZyKk2kFUjZtyjDLrk2rLfpidWqLFwPHjgEffCBPfxKRRWKgRkR0EQYpmybXpj0wLBKezpafTbtwQcF5/dQKCoC335bPRTsOB+v5noi0hoEaEdFF/HwoBbHpBfCwsmya0LeNN3R2tjiXX4LTWUV1s2lZWUCHDsAddyg5RCK6BAZqREQXyaa9V5VNm3pFO3g4WVfmycnBDr0jvOpOf4ps2ltvyef/93+Avb2CIyRqedmrViF21Ggc79kLCbfehuJDhy5+/YoViLvmWhzv1RunRoxE2rx5MJaWQikM1IiILpJNi8solKY7RUsOa2Ta97N6QcGSJTXZtDvvVHZwRC0sf/16pM9/E36PPorItWvg1Lkzzk59EBXid8CMvHU/I/1/70jXt/vlFwTPnYv89b8i450FUAoDNSKiS9SmPXhFJNytLJtmbkFBpcgKVG+4zmwaaUDWZyvgNWkSvG6+CY4dOiBoziuwdXJC7pq1Zq8v/vdfOPftC8/x10MXFgq3YUPhcd11KD58GEphoEZEZMZPB5MRn1EILxcHafN1a9Unwgs6e1uk60sRn18O/PEH8NhjzKaR1dLr9cjPzzcdpfVMS1aWlaHk6FG4Dok23WdjawvX6GgUHzhg9jHOffpIj6meHi1LTETB33/DbfhwKIWBGhHReSoMRry3KVY6FxuvW2s2rbpOrW/tOrUePYBFi5hNI6sVFRUFT09P0zFv3jyz11Xk5Ep72dr5ylnlanZ+vqjIzDT7GJFJ858xA6fvuhvHuvdA3FVXw2XgAPg98jCUwt9UIqLz/HggBQmZhfC28mxa7Tq1f06lSW067hrURunhEF2WmJgYhIaGmm47Ojo223MX7t6DzGXLEPTS/8G5Zy+UnT2DtDfmIWPJEvhPnw4lMFAjIjovm7Zoc1Vt2vB2cHO0/pfJIWHumPDRdBxs1wuVV30OGz8/pYdE1GTu7u7w8PC45HX23l6AnR0M5y0cMGRmwb6e34GM996D5w03wHvSJOm2U+dOqCwuRupLL8PvkUekqdPWxqlPIqJavv83Weo55uOqw73R1p9NE3pv34C2uamIPrEb8fVs+0mkNjY6HZy6dUPhzl2m+yqNRhTu2gXn3r3NPkYEZTa25+3UYWtX9claTaNbkfW/VSQiasZs2vt/yrVpDw1vB1cVZNPExuu6/8l90z4ecCPCUgrRPoIZNdIG3/vuRcpzs+HUvTuce/ZA9oqVMBYXw+umidLnU2bNgn1AIAKeninddhs5EtmffQbHrl3h3KsXys6ckbJsbiNHwMauKmBrZSp4FSIiah5r/03Gmawi+LrqMDlaJbVc69ZJe3qWurpjVe9xuDI+C/cMVsn3RnQJHuPGoSI7BxmL3oMhI1MKwCKWLzNNfZanpIqloKbr/aY9Iu19m7HwPVSkpcHOxwfuI0fA/8knoRQGakRE4gW7Vm3aw1e2g4tOBS+PYqqmakVc1uQHUODogt2in1plJWy4ETtphM/dd0mHOW0+X1nnto29Pfwfe1Q6LAVr1IiIRDZtfxISs4vh56bD3WrJOG3ZAuzeLZbFwfeFZ+HkYIvMgjJp71Iisg4M1IhI88oqRDZNrk17eHh7dWTThHfflT9OmQLH0BD0a+Ndd99PIrJ4DNSISPPW7E9CUo7IpjmqJ5smfPwx8MorwDPP1NlOaicDNSKroZK3jURETc+mvV+VTXvkynZw1imzsqtFiI7sL798wQbtovEt69SIrAMzakSkad/9k4Tk3GL4u6som2YwmL27Z5gXnB3skF1YhpNprFMjsgYM1IhI09m0xVV906Zd2V7aF1MVRBZNbCL999917habs/dvyzo1ImtiEVOfK3eextIt8cgoKEXXYA/MuaEbeofLmwif79t9iXj2O3lX+9ovPifnXttKoyUitfhmX6KUTQtwd8SdgyKgCsXFwIcfAmLbnIyMCz4tpj+3nsrEzrgsVexjSqR2igdq6w6mYO7PxzB3Ynf0CffCJ9sTMPnj3dj8zAipsNccd0d7bHrmStNtG7DOgogap7TCUJNNG6GibNrnn8tBWmQkMGHCBZ+urlPbnZAFo7EStudvl0NEFkXxqc+PtiXg9oHhuLV/ODoGuuP1CT2kYl7xTrdeNkCAu5PpELUlRESN8c3eRKTmlSDQwxF3DFRJNs1orGnJ8fjj0obU5+sZ5gkXnR1yispxMl3f+mMkIusJ1ER9yJHkPAztULPvnHh3J27vP5Nb7+OKygwYOn8zoudtwtQV+3Ayrf4Xm9LSUuTn55sOvZ4vTERaV1Iusmlx0vn0ER3Uk0377Tdpuyi4u0u908xxsBN1aj7SuZj+JCLLpmigllNUBoOx8oIpTn83R6lezZx2/m747809sWxyPyy4rbe0xPzmJTuQmlds9vp58+bB09PTdERFRbXI90JE1mP13kScyy9BkIcTbhsQDtVYsED+OHUq4OFR72WD28mBGhcUEFk+xac+G0t01r65Xxi6hXhKtRYf3tMPPm46fLn7rNnrZ8+ejby8PNMRExPT6mMmIsvKpi35S65Ne3SkimrTjhwBNm4U0xLytOdF1NSpZUt1akRkuRRdTODtooOdrQ0yz8ueiWyayKo1hEjjdwvxwOmsIrOfd3R0lI5qYvqTiLTr6z1nkZZfihBPJ9yqpmxax47Al18Cx48DbS++mrNHqCdcdXbILSrH8XN6RIXUn30jIg1n1ERbje6hntgRm2m6T7y72xGbhb5tzLfnOJ+YOhUvNGJ5PRHRpbNpVbVpIzvA0V4l2TRBvCG94w5gzpxLXlqnTo3Tn0QWTfGpz6nDIvHV3kSpO3hsuh4v/HAERWUVmNRPfqc7c/UBvLnhuOn6hX+cwt8nM3A2q0haiPDk6gNIzinG7Wp6Z0xELUKUSKTr5WzapP5h0LLo9tXbSTFQI7JkivdRG98rRNrOZMHGk8jQl6JriAdWTBloarkhmlHW3o8ur7gcs9celq71cHZAj1APrJk2RGrtQUR0sWzaB1vkbNqjo1SUTausBMaNA0aOBKZNk1d8NkB1ndqeqjo19lMjskw2lWLZpIYkJSUhPDwciYmJCAvT9jtqIi35aGs85v5yDKFezvjzmRFS6YUqbNoEjBkDuLkByckXXe1ZW4XBiN6vbkRBaQV+njFMKkMhsmRJGv37rZJXKiKi+hWXGfDhlnjp/LFRHdQTpAmLF8sfJ09ucJAm2NvZYgD3/SSyeCp6tSIiMm/V7jPS6vIwb2fc0k9F78QTE4Eff5TPp09v9MOrpz8ZqBFZLgZqRKRqYnHSh1W1aTNGdZBWPKrG0qXytlEjRgDdujV5QYHopyZW0BOR5VHRKxYR0YW+2CWyaWUI93HGTX1VlE0rLQWWL5fPH320SU8RFewBd0d76EsqEJPCHpNEloiBGhGpOpu2tKo2bcbIjurKpq1ZA6SnAyEhwI03NukpRJ3awEhuJ0VkyVT0qkVEVNfKnWeQVViGCB8XTOwbClUR+xbfeScwYwbg4NDkp2GdGpFlU7yPGhFRSygsrcCyv+PVWZsm9O4NrFp12U9TXacm+qmJlh0iy0ZEloO/kUSkSit2npaaabf1dcHEPirLpjWjrqJOzcke+tIKxKSyTo3I0jBQIyLVEU1cl5uyaR3VlSUqKQGefRY4fLhZns7O1gaDqurUdsZx+pPI0qjo1YuISLZix2nkFJUj0s8VN/YOgap8/z3w9tvAddfJrTmaAevUiCwXAzUiUhV9STmWb5WzaY+P7qCubJpQ3ZJjyhTA1rZZA7W9p3OkOjUishwqewUjIq0T2bTconK083PF+J4qy6bFxgJ//gnY2MiBWjMR/dQ8nR2kKeMj7KdGZFEYqBGRauRL2bQE6fzx0SqrTRM++kj+OHYsEBHRbE9ra2vDfmpEFkplr2JEpGWfbT+NvOJytPd3xfheKsumlZcDn30mnz/4YLM/fXTV9CcXFBBZFgZqRKQKIkD7yFSb1lFazagq69YBaWlAYCAwfnyzP311ndq+09koZ50akcVgoEZEqsmm5ZdUoEOAG65XW22akJ8P+PsD9913WTsR1KdLkDu8XBxQWGbA4eS8Zn9+ImoaBmpEpI5s2jY5m/aEGrNpggjQkpKA559vkae3rdVPjXVqRJaDgRoRWb1PtiVAX1KBjgFuuK5HMFRLpwM8PFrs6aunP1mnRmQ5GKgRkVXLKyqXAjXhiTEdpcyQqoimtqIlRzM1t23Ivp/7TuewTo3IQjBQIyKr9vG2eGmfys6B7hjXXYXZNBGkjRoF9O0LVFa26JfqFOAObxcHFJcbcCiJdWpEloCBGhFZrdyiMnyy/bR6s2nCJ5/IH4cMkRvdtiC5To3bSRFZEgZqRGS1Pt6WIHXTFysWr+kWBNXJyQHWrJHPm3EngoZMfzJQI7IMDNSIyGqzaZ9WZdOeVGs27euvgdJSoEcPoF+/VvmSNf3UclBWwTo1IqUxUCMiqyQ2XhfZtK7BHrg6SoXZtNrTniKb1sLTntU6BbrBx1VXVaeW2ypfk4jqx0CNiKxOdmGZ1OBW1dm0w4eBffvk5rZ33dVqX9bGxgaD28n91Nimg0h5DNSIyCqzaaKDfpSUTQuEKv30k/zxhhvkHQlaUfW+n7sSGKgRKc1e6QEQETVGVkEpVuyoyaaJDJAqiR0IRo8GnJ1b/UtX16n9cyYHpRUGONrbtfoYiEjGjBoRWZVlW+NRVGZA91APXKXWbJogAtDBg4FevVr9S4v9Uv3cdCgpN+JgIvupESmJgRoRWVU2beWOM9L5k6M7qTebVl6u6JcXP9dB1dOfbNNBpCgGakRkNZb9HS+tRuwZ5onRXQOgSmLj9cBA4JFHgIoKxYbBfT+JLAMDNSKyCpkim7bzjPpr01aulBvdxsQA9sqVEVcvKNh/Ngcl5QbFxkGkdQzUiMgqLN0SJ2XTeoV7YWRnlWbTxF6etXunKai9vyv83R1RWmHEgUT2UyNSCgM1IrJ46foSfL5LA9m0rVuBuDjAzQ245RZFhyL3U2OdGpHSGKgRkcVbuiVeWoHYO9wLIzq1bk+xVlWdTbvtNjlYU1h141sGakTKYaBGRBYtPb8EX2ghm5afD3z7rUVMe1arzqjtP5vLOjUihTBQIyKL9uGWeKlOqk+EF65Uczbtq6+AoiKgc2cgOhqWoJ2fKwLcHaXN2f89yzo1IiUwUCMii86mrdotZ9OeGqPivmnCNdcAL74I/Oc/rbYBe2Pq1HZy+pNIEdxCiogs1pK/4qRsWr823riiox9UrU0b4LXXYGmi2/vip4MprFMjUggzakRkkc7lleDLPWe1kU2zYNUZtQOsUyPSbqC2cudpDJ2/GZ1e/BU3Lt7e4J494l1e2+d+wYMr97X4GImodX3wV6xUGzWgrTeGdpCDBVUqKAAmTQJ+/hkwGmFp2vq6IMjDCWUGI/afyVF6OESNlr1qFWJHjcbxnr2QcOttKD506KLXG/Lzce7VV3HyiitwvEdPxI29BgVbtkCzgdq6gymY+/MxPDGmI36ZMQxRwe6Y/PFuqQv5xSRmF+GNX45hYFt5+TgRqUdqXjG+2pMonT+p9mza118D330HzJxpMbVpF9apsU0HWaf89euRPv9N+D36KCLXroFT5844O/VBVGSZ/79cWVaGs1MeQFlyMsIWLkS7X39F0Guvwl5s66bVQO2jbQm4fWA4bu0fjo6B7nh9Qg846+zwzT75Rdocg7EST64+gKeu6ohwH5dWHS8Rtbwlf8ZJGRzxRmxIexVn04Tly+WPDz1kkYGawAUFZK2yPlsBr0mT4HXzTXDs0AFBc16BrZMTctesNXt97tq1MOTlIfz99+HSty90YaFwHTgQTl26QJOBmpjWOJKch6EdaoqEbW1tpNv7z9Q//blw0yn4uupw24CIS36N0tJS5Ofnmw69Xt9s4yei5peSW4zVe6uyaVepuG+acOAAsGcP4OAA3HsvLJVYUCCIspTiMtapkbL0en2dv+vi73x92bGSo0fhOqSm3Y2NrS1co6NRLH73zD335s1w7t0b5159DSeHDkP8+PHI/HApKg0GbQZqOUVlUnbMz82xzv3+bo7IqGfqc+/pbHyzNxHzb+7ZoK8xb948eHp6mo6oqKhmGTsRtYwlojbNYMSgSJFN89NGNm3iRMDfcnvERfi4INjTCeWGSvzDOjVSWFRUVJ2/6+LvvDkVObmAwQA737pZeTs/X1RkZpp9THliEvS//YZKowHhS5fCb9o0ZH/6KTI/+BCanfpsjILSCjy1+gDm3dwDPq66Bj1m9uzZyMvLMx0xMTEtPk4iaprkWtm0p67qBFUrLAS++KJm2tOCiaxmNPf9JAsRExNT5++6+DvfbIxGKbALfvVVOHfvBo9x4+D7yCPIWf01NNlHzdtFBztbmwsWDohsmsiqne9MViGScooxdUXNKk9jZaX0sf3z67H56SvRxte1zmMcHR2lo5pIkxKRZVr8Z6yUtRFBQXVdlGqJ7aLE61H79sDIkbB04t9j7b/JrFMjxbm7u8PDw+OS19l7ewF2djCct3DAkJkFez/z2Xp7kdl2sIeNnZ3pPsf27WDIyJSmUm10DUsSqSZQ09nbonuoJ3bEZmJstyDpPqOxEjtiszB5SJsLrm/v74bfnhxe5763fz+BwtIKvDy+G4I9nVtt7ETUvJJyivBt1SIisaen6nl7A717A7ffLopzYemq69QOJuaiqKwCLjr2SyfLZqPTwalbNxTu3AX3MWOk+yqNRhTu2gXvu+4y+xjnvn2R//PP0nWink0oO31aCuCUCNIExX/Tpg6LxNPfHkSPMC/0DvfEx9tOSy8Ck/qFS5+fufoAAj2dMOuaLnBysEPnIPc6j/dwcpA+nn8/EVlnNk2s8hyk9myacOONwA03SDU01iDM2xmhXs7S9LSoU7uio+XW1BFV873vXqQ8NxtO3bvDuWcPZK9YCWNxMbxumih9PmXWLNgHBCLg6ZnSbe87bkfOqlVIe/0NeN99F8rOnEHm0mXwueduKEXxQG18rxBkF5ZhwcaTyNCXomuIB1ZMGQh/d3m6UrwoqHrVFxFJfRG/3Zekjdq02sRrm73iL8MNIl6HB7Xzwdr9ydgZl8VAjayCx7hxqMjOQcai96TpS8euXRGxfJlp6rM8JVUsBTVd7xAcjPCPliNt/nzk3jhB6p/mc8898H1wqmLfg01lZVWRl0YkJSUhPDwciYmJCAsLU3o4RATguTWH8PXeRAzr4Icvpg6CqhUVyYsIxJRnA+psLImYmn72u0PoG+GFtdOHKj0c0pgkjf79tvzCCCJSfTbtu3+qs2kaqE0TuxA8/DAw1PoCneoFHoeS8qTaYCJqeQzUiEhRizafQoWxEld09EO/NhrYEu6DD+SPIqNmZcROMKJWTfx77WM/NaJWwUCNiBQjWu6s2Z+sndq0f/8Fdu2SdyKYqlzNS7NsJxXHNh1ErYGBGhEpZtHmWGl3kis7+aNvhDc0k0275RZAwU2eLwcb3xK1LgZqRKSI05mF+P7fZO30TcvNBVatks+nTYO1Eis/hcPJedJuMUTUshioEZEi3tt8Ssqmjejsjz5ayKatXCmv+OzeHRg2DNYqzNsF4T7O0r+d2HuZiFoWAzUianUJmYX4wZRN00BtmpCQIO9AMH263D/NinH6k6j1MFAjola3aNMpGCuBUV0C0DvcC5qwYIEcrN1zD6xd9YKCXVxQQNTiGtQS+7r3tjbqScWbxY8mD0CQp1NTx0VEKhWXUYAfDmioNq22iAioQXWgJurU9CXlcK/ayo9Ii9LmzW/0Y/ymPQI7L6/mC9RiUvPx4BXt4KKr2U2+PmKfgw+2xKGswtigARCRNrNpY7oGoGeYBrJpmZmAXg9ERkItQryc0cbXBWeyiqQ6tVFdrHMFK1FzyF65Es69e8NGtN1pgKL9+6V9RJs1UBMeGt4Ofm7y/puX8tHW+IY+LRFpSGx6AX46mKKt2rT33wdefRV47jngjTegFoMjfaVAbVc8AzWisPcXwd5XzjRfyom+/Zq/Rm3rf0bC11XX4CfdOPNKhHo7N2ogRKR+75myaYHoHuoJ1SsvB5Yvl6caevaEmkS354ICIiH4jTdg6+6OhgqaM6fBQV2DM2piOXZj0+JERLWdStNj3aEUbdWm/fQTkJICBAQAN90ENamuUzuSnIf8knJ4sE6NNMpr4oRGXe85/vrWW/U5dsHfSMktvpynICKNeG9zrJRYujpKI9k0YckS+eODDwK6hs9KWAOxWCzSz1XKkO5NYD81ovOlzpmDipzL3xP3sgK1pJwiVBgqL3sQRKRuJ9P0+PmQxmrTjh8HNm+We6c99BDUaHDVLgXc95PoQvk/rYOxoACXi33UiKjFLdx0SsqmXdMtCFEhHtDMIgJh/HjVtOWot59aAgM1oguIF71mcFmB2oBIHzg5MNYjovqdOKfH+sOp0vkTWqlNq6gAfvxRPn/8cahVdaB2NCUfeUXlSg+HSJUuK8r67P6BCPBgU1siqt/CTSelN5bjegSha7BGsmn29sCxY/L+niNHQq0CPZzQzs9V+vfdw30/ierovP8f6MLD0SqB2saYNJQbGt7A9s/j6SgpN1zOuIhIBY6l5mP94XPS+eOjNZJNq+bmJm8XZeX7el7KYLbpII0zNLIOzVBQ2PyB2sOf70N+ccPT2jO++hfp+aWNGggRqbNvmnBdj2B0CdJINk2s8mqm2hRrmv7kggLSqpMDB6Eiq+H//2OvvBJliYnN20dNvOQ88+1B6OwbNlNaWsFsGpHWxaTk49cj56SEkmZq04TbbgNSU+VGt4MHQ+2qV34eO5eP3KIyeLmoqw0J0SVVViL32+9g69KwnrOVooa1ERoUqN3cN6xRT3pj71C4OTV4dyoiUmltWnU2rVNgw7t2W7WYGGDjRrklR1AQtCDA3Qnt/V0Rl1GI3QnZGNtNG983UTWH4GDkfvstGsrezw82oo61odc35KK3J/Vq8BMSER1NycNvR9PkbJqWatOqW3LceCPQti20QmwnJQI1UafGQI20psPmTS36/OytQUTN7t0/5Nq08T1D0FEr2bTcXGDFCtW35DCHdWpELYeBGhE1K7H3o1gpLrJpmlrp+cknQFER0KMHcOWV0JJBkXKgdvycHjmFZUoPh0hVGKgRUbN69w+5Nu2GXiHoEOAGTTAYaqY9RTZN5S05zufv7oiOVf/Wok6NiJoPAzUiajaHk/Lwx7F02GotmyYWECQkAD4+wJ13QotM20mxnxpR6wdqveb8juyqdPaz3x5EQWnjlpYSkbayaWLld3t/jWTThKuvBjZsAN55B2jgEn01LigQGKiR1iTNmGFqepv7ww8wlpW1fqAmdiUoKJGDszX7k1DKXQeI6DwHE3Ox6bicTZsxqgM0RbTjGDsWuPdeaNWgSB9TnVpWARuek3bo/9oCo6hPBZD6/Asw6vXN+vwNas/RN8IbD32+D91DPaXmt6+si4FTPc1v32IrDyJNZ9Mm9AlFOy1l00R9mp0dtM7XzRGdA91xIk2PPQnZuLZHsNJDImoVjpGRyHhnAVwGDZKa3+b/ugG2bq5mr/WaMKFlArUFt/XGx9sScDa7EKJEVl9SjlI7lrcRkezfszn480QG7Gxt8PgoDdWmnTsH9O0L3H8/MGeOvBm7holdCkSgtjM+i4EaaUbQK68g7c35KNiyRVpIlLFwofkFRTY2LReoiRU9z13bRTof9uZmLLi1N7xduU0IEdXtmzaxTyja+pl/J6lKS5bI20X9+Sfw+uvQOrGgYMXOM6xTI01x6dsHkatXS+fHukah/YZfYe8r12w2h0anxbbNGsUgjYhM/jmTgy0n5WyapmrTRE2KCNSEmTOVHo1FGFS18vNkWgEyWadGGtThj42wE6u/m1GDMmqfbk9o8BPePzTycsZDRFZm4SY5m3ZTn1C08dVQNm3lSiArC4iMBCZOVHo0FsHHVYcuQe7SgoLd8dm4rienP0n9Sk6cqHPbcFKu1zXHqXPnlgnURH1abaJVR3G5AR5ODtLt/JJyODvYwddNx0CNSGPZtL9PZsBeyqZpqDbNaAQWLJDPn3iCiwnOm/4UgZqY/mSgRlqQMGGiXJNWWXnJZtddY462TKAmpjur/XggGZ/vPIM3b+lp6pMUl1GA2WsO485BEY0eABFZ/0rPm/uGIcJXQ/3DfvkFEO+aPT2BKVOUHo3FBWqf7TgtLSgg0sp0Z7WSY8eQ9t+34DtlCpz79JbuK/73ALI//RQBzz6Dpmj0EqX//X4SS+7qW6eZpTj/v+ujMG3VP9LSfCJSv32ns7H1VKaUTXtMS7VpQnU27aGHAHeNbDrfiJWfIqkQm16ADH2ptBiNSM0cQmvinqQnn0LQC8/DrdZ+v2K60yE4CBkL34P7mDEtv5ggXV8Cg1F0U6vLUFnJ4lEiDVlQlU2b1D8M4T4ayqYJH34ITJsGzJih9EgsjpeLqFPzkM65+pO0pvTkSTiEhV1wv7ivNC6uSc/Z6EBtaHs/PP/9YRxJzquzv9+LPxzGsA5+TRoEEVkX0dB0e2yWlE17dKTGsmlCp07yis/wcKVHYrFZNYGBGmmNrn07ZC1bhspa20iJc3Gf+FyrTH3+95aeePrbgxj//jY4iG1TAFQYjRjeyR/zb+7ZpEEQkXVZsLE6mxaOMG8NZdMaUCxMQHQ7X3y6/TQDNdKc4FdeQeK06Tg1YiQcO3eS7is9cVJ63Qj/oKqdT0sHamKbkM/uH4j4jAKpBsHGxgbt/V0va8uYlTtPY+mWeGQUlKJrsAfm3NANvcO9zF674UgqFv8Zh9NZhagwVErNNR+8IhI39b0w1UhEzU/88RWF4g52GqxNe/FFIDZW/tijh9KjsViDIn2leDYuoxDp+SUI8HBSekhErcK5Z0902Pg78tb9jLL4eOk+j2uvhef118PWpWlvapu834kIzCKrOpCLYK2p1h1Mwdyfj2HuxO7oE+6FT7YnYPLHu7H5mRHwc7uwCNXTWSdNtXQIcIWDnS02HUvHs98dkgLIKzv5N3kcRNS4lZ639g9HqJczNENstLx4MZCXB9x1FwO1i/B0cUBUsAeOpuRjV0I2bugVovSQiFqNCMi8b7u1+Z6vKQ9avfcsrl6wBZ1f3CAd4vzrPWebNICPtiXg9oHh0ot+x0B3vD6hB5x1dvhmX6LZ66Pb++Ka7kHoEOAuNdecMixSarAoVqARUcvaGZeFXfHZ0NnZaq82bdkyOUgTDSuvv17p0VhFm47q/zNEWpG5dBly16y54H5xX+by5a0TqL3z+wnMWReD0V0DsfiuvtIhzl/7OUb6XGOUVRilRQlDay1CsLW1kW7vP5N7ycdXVlZie2wm4jMKMTDS/JYNpaWlyM/PNx168a6YiBpN/L5Vr/S8bUA4QrSUTSstBd55Rz5/9lnxQqX0iKyiTk3YzTo10pDc1auhi7xw0YBjhw7I/VreD7TFpz6/2H0W827qgRt71/QNuSoqUMpqvfLTUcy8uuHbI+QUlUmtPs6f4vR3c5RqG+ojdkIY/MYmKdATgd3cG7vjio7mpz3nzZuHOXPmNHhMRGSeyIyI1Z4imzZ9ZHtoyqpVQEoKEBIC3H230qOxCgMi5X5q8ZmFSMsvQSDr1EgDKjIzYR9wYTwi9v+syMho0nM2+m1hucGInmEXFvr3CPVEhZn+ai3BTWeP9Y9fgR8fG4pnr+6M136JqTe9Pnv2bOTl5ZmOmJiYVhkjkVqzaXcMDEewp7O2tov673/l86eeAhzZwLUhPJ0d0C2E/dRIW+yDg1C8f/8F94v77AMCWidQExsvf7HrzAX3f7XnLCbUyrI1hLeLDna2Nhc0yhWrP0VWrT4iiyZWe3YL8cSDw9thXPdgLPkr1uy1jo6O8PDwMB3u7CJO1GiiZ9re0znQ2dti2giN1ab9+CMgNl328pJ3IqBGT38yUCOt8J40CWlvzEPumrUoT06WDlGfljZvPrwmTWq9VZ/f7E3E1lMZ6BPuLd0+kJiLlNxi3NQ3VKpVqya2lboY8aLfPdQTO2IzMbZbkHSf0ViJHbFZmDykTYPHY6yslKZBiahlsmnVKz3vHBiBIE+NTWGJLV/+9z+5f5qHnCGihi8oWL41gQsKSDN8HngAhtxcnHv1VVSWl0v32Tg6wnfqA/B7+KHWCdROpOnRLVR+sTqTLdeRebs6SIf4XDUbNKxlx9RhkVID3R5hXugd7omPt51GUVkFJvWTO37PXH0AgZ5OmHVNF+n24j9j0TPME218XFFmMODP4xn4/t9kzJ3QvbHfChE1wLbYTOw7kwNHKZumsdo0QWThZ85UehRWW6dmawOczipCal6xtqbMSZNsbGwQ8Mwz8Js2DaXx8VKQpmvbFrY6XZOfs9GB2tcPRaM5je8VguzCMqnTudjAt2uIB1ZMGWjayDc5t7hOn7biMgP+74cjSM0rgZODndRsd8FtvaXnIaIWqE2r2oXgzkER2isI504El8XDyUGaNTmUlCdNf07sw8bkpA22rq5wbqZei01ueNuc7h3SVjrMWf1w3cDwmbGdpYOIWt7fpzKx/2yunE27UmPZtIMHgfvuEyuSgFubr3mlFuvUpEAtLpuBGlETsBkQEV0ym3b34Dba2wbozTeBAweA779XeiTqaHzLBQVETcJAjYjM+utkhrRQyMnBFg9feWEDR1UTe/StrmpO+Z//KD0aq9a/rbe0uv9sdpFUykJEjcNAjYjMr/SszqYNaoMAd41l08QqT9E/bexYoE8fpUdj1dyr6tQE7lJA1HgM1IjoAn+dyMDBpLyqbJrGatPOnQM++UQ+nzVL6dGowuB28hZ/bNNB1HgM1Iio3l0IJke3Na3A1lQ2raQEiI4GRoxQejTqanybwECNqLEYqBFRHZuPp0ur9Jwd7PDQcI3VpmVlAR98IJ//3/+xNUcz6d/WR6pTS8wuRlJOkdLDIY3JXrUKsaNG43jPXki49TYUHzrUoMfl/fILjnXpisRHH4OSGKgR0Xm7EJySzsXuIH4X2cpNlXx85EUEDzwAXHON0qNRDTdHe2k/aGFXfLbSwyENyV+/Hunz34Tfo48icu0aOHXujLNTH0SFeFN2EWVJyUj/71tw7t8PSmOgRkQmfxxLx+HkPLjo7PDwcI3Vpgkig3bddcBHHzGb1syi21e16WCdGrWirM9WSHtset18Exw7dEDQnFdg6+Qk7cVZn0qDASnPPgv/GY9BFybvkqQkBmpEdMGenqIBtY9r07c8sUpilSe1eD81btBOraWyrAwlR4/CdUhN43wbW1u4RkejWPRIrEfm4iWw8/WB1y23wBIwUCMiye8xaTiakg9XnR0evEJjtWn5+UCnTsCrr8oLCajZ9W/jDXtbG6mXWmI269So6fR6PfLz801HaWmp2esqcnIBgwF2vvKbhGp2fr6oyMw0+5iif/5B7po1CH7tNVgKBmpEJGXTFlbVpmkym7Z4MRAXB3z5JeDgoPRoVMnV0R49w+Q6Ne5SQJcjKioKnp6epmPevHnN8ryGgkKk/GcWgl97Ffbe3rAUFrHXJxEp67ejaYhJzZeKvjWXTSssBN55Rz5/4QXAzk7pEam6Tk3sHSumP2/tr3ztD1mnmJgYhIaGmm47Oppf9GTv7SX9PhvOWzhgyMyCvZ/fBdeXJ55FeXIyEqdNv6Ak4li37mj/63roIiLQ2hioEWmc0VhTm3bfkLbw1lo2belSQEyDtG8P3HGH0qNRfZ3a4j/jsCsuS8ri2nDBBjWBu7s7PDw8LnmdjU4Hp27dULhzF9zHjJHuqzQaUbhrF7zvuuuC63Xt2iHypx/r3Jex8D0YCwsR+PxsOAQFQQkM1Ig07rej53D8nB7ujvaYekUkNKW4GHjrLfl89mzAni+JLalfG2842NkgJa9E6qkW4eui9JBI5Xzvuxcpz82GU/fucO7ZA9krVsJYXAyvmyZKn0+ZNQv2AYEIeHombB0d4SRqVWuxc3eXPp5/f2viqxKRhsnZNLk27f6hbeHlorFs2scfy1tGiemMe+5RejSq56KzR68wL+w7k4Od8ZmI8G39aSTSFo9x41CRnYOMRe/BkJEJx65dEbF8mWnqszwlVSwFhSVjoEakYb8eOYcTaXI27YFhGqtNMxiAt9+u2dNTp7EgVcHpTxGoica3tw1goEYtz+fuu6TDnDafr7zoY0PmN89Chcth2WEkEbVoNm3hJrk27f5hkfB00dhqR7FoYONG4LHHgClTlB6N5hrfigUFok6NiC6OgRqRRq0/koqTaQVwdxLZNI3VplXr2BFYtAhwclJ6JJrRN0KuU0vNK8GZLPZTI7oUBmpEGmQQ2bSq2jQRpHk6ayybptcrPQLNctbZoU+43KOKuxQQXRoDNSIN+uVwKk6lF8DDyR5TtJZNE33TxAousXggJ0fp0WjS4HY+0kc2viW6NAZqRJrMpsm1aVOvaAcPJ41l095/X17puXMn4Oam9Gig9X0/WadGdHEM1Ig05udDKYjLKJSmO0VLDs3t6fnf/8rnL73E7aIU0reNN3R2tkjLL0VCZqHSwyGyaAzUiLSWTdsk16Y9eEUk3LWWTRMLB7Kzgc6dgTvvVHo0muXkYIfeEV7SuWjTQUT1Y6BGpCHrDqYgPqMQXi4O0ubrmpKbW9M37eWXuQuBwqJrTX8SUf0YqBFpRIXBiPdM2bR22sumvfuuHKxFRQG33qr0aDSvuk5NLChgnRpR/RioEWnETyKbllkIby1m08QuBCurOpDPmSM3uyVF9Ynwgs7eFhn6Uun/JRGZx0CNSGvZtOHt4OaosWk/EZgdOAAsXgzcdJPSo6GqOrW+VXVqO+M4/UlUHwZqRBrww4EUnM4qgo+rDvdGayybVs3DA5g+HbDly56lqN2mg4jM4ysWkQayaYs2y9m0h4a3g6vWsmn79wOsgbLwBQXZrFMjqgcDNSKVW/tvsrSnosimTY5uA005cQIYOBAYPFjekYAsimjR4Whvi8yCUsRlFCg9HCKLxECNSMXKDUa8vzlWOn94eDu46DSWTXvxRXkhQWAg4Oqq9GjoPI72dujXRt73cyf7qRGZxUCNSMW+35+Ms9lF8HPT4R6tZdP27gW++w6wsQFef13p0dCl6tS4oIDILAZqRCrOpi36U65Ne3h4e+1l02bPlj+Kzdd79FB6NFSP6Pbc95PoYhioEanUmn+SkJhdDD83R9w9WGPZtD/+ADZtAnQ6uW8aWayeYZ5wcrBFVmEZTqWzTo3ofAzUiFSorEKs9JRr0x65sh2cdRpq8Go0As89J59Pmwa01Wg7EiusU2ObDqILMVAjUqHv/klCcm4x/N01mE3LyAAqKgA3N+D555UeDTUA9/0kqp/GilaItJFNW/ynnE2bdmV7qQO8pogVnqJ3WkwMEBCg9GioUY1vs2E0VsLW1kbpIRFZDGbUiFTm238SpWxagLsj7hwUAU0Suw907670KKiBeoZ5wdnBDtmsUyO6AAM1IhUprTBgcVVt2rQRGsum5eQA8+axsa0VEpuz929b1U8tLlPp4RBZFIuY+ly58zSWbolHRkEpugZ7YM4N3dA7XN6s93xf7TmLtfuTcOKcXrrdI8wTz47tUu/1RFryzb4kpOSVINDDEXcM1Fg2be5c4J13gC1bgA0blB4NNWH6c+upTGn6876hkUoPh8hiKJ5RW3cwBXN/PoYnxnTELzOGISrYHZM/3i1tKWKOKDa9oVcIvnpoMNZOH4pgT2fc8/FunMsrafWxE1laNm1JVW3a9BEdtJVNi4sDFi2Sz596SunR0OXUqSVkSXVqRGQhgdpH2xJw+8Bw3No/HB0D3fH6hB5SK4Fv9iWavX7h7X1wT3RbdAvxRIcAN7x5c09pv+XtsUyXk7at3puI1LwSBHk44bYB4dAU0Y6jvBwYO1Y+yCr7qbno7JBbVI4TafKMCREpHKiJ1WlHkvMwtINfzYBsbaTb+8/kNug5issNUgd2LxcHs58vLS1Ffn6+6dDr+QJA6lNSbjCt9Hx0pMZq07Zvl7eKEgsI3n5b6dFQEznYiTo1H+mcbTqILCRQyykqg8FYKXVOr83fzVGqV2uI+b8eQ6CHU51gr7Z58+bB09PTdERFRTXL2Iksydd7ziItvxTBnk64VUvZNJFOf/pp+XzKFK70tHKD28mB2k7u+0lkOVOfl2PJX7FYdzAVS+/pV28GYfbs2cjLyzMdMaK3EpHKsmlL/oqTzqeP7CB1eteM1auB3bsBV1fgtdeUHg01U+Pb3QlyPzUiUnjVp7eLDna2NhcsHBDZNJFVu5hlf8fhg7/isGrqIGmlaH0cHR2lo5qY/iRSE7ESOl1fihCRTesfBk0ZMAC45RagVy8gKEjp0dBl6h7qCVedHfKKy3HsXL5Ui0ykdbZK984Rv5g7ai0EEO+idsRmoW+b+tttfLglDos2xWLFlIFSo0QiraqdTXt0lMayaUL79sC33wIvvKD0SKjZ69SylR4OkUVQfOpz6rBIfLU3UdqbMDZdjxd+OIKisgpM6ifX2cxcfQBvbjhuul5k0d75/ST+e0tPhHk7I11fIh2FpRUKfhdEyli1+ywy9KUI9XI2/c5ogtjLszYbbjmkFtHt5elP1qkRWUjD2/G9QqRtQxZsPCn9weka4iFlysRm0oLYCsem1ovwF7vOoMxgxLRV++s8zxOjO+Kpqzq1+viJlFJcZpDeuAiPjeogZag1Y/JkwM4OePNNICRE6dFQC/RT25OQJS02E+UxRFqmeKAm3DukrXSYs/rh6Dq3tz83qpVGRWTZVu0+I9V3iszyLf00VJv299/AV1/J7TjEik8GaqrSPcQDbo72yC+pwLHUfKk8hkjLNPQWnEg9RHmAqNUUZozqINX2aILBADz+uHz+0ENA795Kj4iamb2dLQZU7fvJfmpEDNSIrNKqXWeRWVCGcB9n3NRXQ9m05cuBgwcBb2+249BAnRoDNSIGakTWnU0b2VE72bTs7JrVnSJI8zPf5JrUU6cm+qmJOjUiLdPIKzyReny+8wyyCssQ4eOCiX1DoRkvvSQHaz16AA8/rPRoqAVFBXvA3dEe+pIKxKSw9yVpGwM1Iisi2tAs/Ttee7VphYXADz/I5wsXAvYWsQ6KWrBObWBk1XZS8TV9Nom0SCOv8kTqsHLnGamdTVtfF0zso6FsmtgiSmz/tnIlMHKk0qOhVpz+ZONb0joGakRWoqC0Qto6TZgxqqOUddAUDw/gnnuUHgW18oKCvQnZqDAYlR4OkWI09kpPZL1W7DiNnKJyRPq54sbeGukdlpkpZ9EqWVCuNWIPZw8ne+hLK3CUdWqkYQzUiKwkm7Z8a01tmmayabNmAffeC0ybpvRIqJWJHQkGRrJNB5FGXu2JrD+blltUjnZ+rrihl0ayadu2AZ98UrNlFGnO4HbVCwoYqJF2MVAjsnD6knIsq1rp+fhojdSmlZcDjzwinz/4IDBkiNIjIgUXFLBOjbRMA6/4RNbts+2nkVdcjvb+rhivlWzaggXA0aNyU9v585UeDSnYT83T2QGFZQYcTs5TejhEimCgRmTB8kvKTbVpIpsm6nZU78wZYM4c+fyttwAfefqLtMdWqlOT//3ZpoO0ioEakQX7dNtp5JdUoEOAG67vqZFs2mOPAUVFwBVXyAsJSNOiTf3UWKdG2sT23kQWSkx3frxNzqY9oZVsmvD880BKCrBsGWCjke+ZLl2ndjob5QajdnbjIKrC//FEFurT7QlSNq1jgBvG9QiGZkRHA/v2AV26KD0SsgBdgtzh5eKAItapkUYxUCOy2GxagnT+xBiNZNNSU2vOmUmjWnVqg6r3/Yzj9CdpDwM1IgskgjR9SQU6B7pjXHcNZNN++QWIjAT++1+lR0IWve8nAzXSHgZqRBYmr6gcn9bKpomMgqrl58s7D5SWAunpSo+GLHjfz32nc1BWwX5qpC0M1IgszEfb4qX9DUVtzjXdgqB6s2cDiYlAu3bAq68qPRqyQJ0C3OHt4oDiclGnlqv0cIhaFQM1IguSW1SGT7efls6f1EI2betWYMkS+Xz5csDFRekRkQUSvwc105/sp0bawkCNyIJ8tDVB2oC9a7AHro5SeTatoAC47z75/IEHgFGjlB4RWbDqQI0LCkhrGKgRWYicQpFNq6pNG62BbNp//gPExwMREcA77yg9GrKWOrUz2axTI01hoEZkIcRWUWJPQ7G/4dhugVC1ykqgbVvA0RH45BPAw0PpEZGFE/0EfVx1KCk34mAS69So4bJXrULsqNE43rMXEm69DcWHDtV7bc433+D0XXfjxMBB0nHm/vsven1rYKBGZAGyC8uwYkdNbZqN2vuIie9PZNROnwZGj1Z6NGQFxO/E4HZV+35y+pMaKH/9eqTPfxN+jz6KyLVr4NS5M85OfRAVWeb/DxXt2QuP68ahzYrP0Pbrr+AQFIyzD0xFeVoalMJAjcgCLPtbzqZ1D/XAVVEqz6aVl9ecB6m8Do9aZN/PneynRg2U9dkKeE2aBK+bb4Jjhw4ImvMKbJ2ckLtmrdnrQ99+Cz533gmnrl3h2K4dgue+BhiNKNy5E0phoEaksKyCUqzcWZVNG91J3dm0n34CevUC9u5VeiRkxQsK/jmTg9IKg9LDIYXo9Xrk5+ebjlLRg9GMyrIylBw9Ctch0ab7bGxt4RodjeIDBxr0tYzFJaisqICdpyeUwkCNyAKyaWIfw55hnhjdNQCqlZkJPPQQcOwY8N13So+GrFCHADf4uelQWmHEwUTu+6lVUVFR8PT0NB3z5s0ze11FTi5gMMDOVw7wq9n5+aJCvB41QPr/3oZ9QABchwyBUuwV+8pEhEwpm3ZG/bVpYvHA1KmAqPPo1g2YM0fpEZEVEr8fg9r54pdDqVKbjoFVe4CStsTExCA0NNR021EsSmoBmcuWI3/9r2izcgVsW+hrNAQzakQKZ9NEt/VeYZ4Y2VnF2bSlS4EffwR0OuCLLwAnJ6VHRFZep8Z9P7XL3d0dHh4epqO+QM3e2wuws4PhvIUDhsws2Pv5XfRrZH38CbKWL0fERx9JCxCUxECNSCEZ+lq1aWNUXJsWEwM89ZR8Pn8+0Lu30iMiK2aqUzubg5Jy1qlR/Wx0Ojh164bCnbtM91WKhQG7dsH5Iq9DWR99hMwPPkDE8mVw7tEdSmOgRqSQpVvipJ5QvcO9MKKzP1SppAS44w7549ixwBNPKD0isnLt/V3h7+4oNb09kMh+anRxvvfdi9xvv0Xu9z+gNC4O516ZA2NxMbxumih9PmXWLKT/r6bhduby5chY+B6CX38dDqGhqMjIkA5jYSGUwho1IgWk60vwxW4N1KaJF7fAQMDfH/jsM7Fpo9IjIlX0U/PFuoMpUp1adYaNyByPceNQkZ2DjEXvwZCRCceuXaVMWfXUZ3lKqlgKaro+96uvUVlejuTz3lSKPmz+Mx6DEhioESngw7/ipWxanwgvXNlJpdk0Qay22rABSEhgzzRqNqLxrQjUWKdGDeFz913SYU6bz1fWud1h8yZYGr69JWpl6fklWFWVTXtKrbVpYqqzmsiitW+v5GhIpQsK/k3MZZ0aqR4DNaJW9sGWOKkPVL823rii48VXHlklgwG47jrgwQeB4mKlR0MqFOnnioCqOrX9Z3OUHg5Ri2KgRtSK0qRs2ll116aJHmmbNwNffgmclb9XouYkfm+i21e36chWejhELYqBGlEr+uCvOCkL0L+NN4Z1UGE27bffgLlz5fNlywCF+w+RelUvIuAG7aR2DNSIWsm5vBJ8uUfOMD11lQpr05KSgLvvlnchePhh4C7zxbtEzRmoiRYdxWWsUyP1UnzVp2j4uXRLPDIKStE12ANzbugm9ZUy52SaHu/8fhKHk/OQnFuM/7s+Cg8Mi2z1MRM1xZK/YqVs2sC2PhhSNW2jGuXlwG23yft59ukDvPuu0iMilWvr64IgDyecyy+R6tSGqjFDTaR0Rk0sr5778zE8MaYjfpkxDFHB7pj88W5p/0NzxLumCF8XzLq2i9TwkMhapOQW4+s9idL5k1epsDbt+eeBHTsADw/g22+5RRS1Uj81ea9PtukgNVM0UPtoWwJuHxiOW/uHo2OgO16f0APOOjt8s0/+g3a+XuFeeH5cV9zQKwQ6O87akpVl0wxGDIoU2TQVvvMfNUrumfbpp2zFQa2mZkEBAzVSL8WmPsUU0JHkPEwfUfOibmtrI6Wv95/htiCkrmza6r1V2bQxnaBK114LxMUBnp5Kj4Q0XKcm3ugTqY1iaamcojIYjJXwc6s7henv5ijVqzWX0tJS5Ofnmw69Xt9sz03UEIv/jEW5oVKapqnOAKhCdjYQG1tzm0EatbIIHxcEezpJv1//nGE/NVIn1c8fzps3D56enqYjKipK6SGRhiTlFJmm8sUuBKpqais2Wx8wANhkeVuukIb6qVVl1XbGZyo9HCJ1BWreLjrY2dpcsHBAZNNEVq25zJ49G3l5eaYjJiam2Z6b6FIW/xknvdsXqzwHqWnzaLF44PffgbIyoGpzYyJF+6mx8S2plGKBms7eFt1DPbEjtuZdkNFYiR2xWejbxnx7jqZwdHSEh4eH6XB3d2+25ya6mMTsInxbnU27SkXZtK++Av77X/lcLB7o1UvpEZGGVZcTHEzMRWFphdLDIVLX1OfUYZH4am8ivvsnCbHperzwwxEUlVVgUr9w6fMzVx/AmxuO11mAcDQlTzrKDUZpOx5xfjqzUMHvgqj+2rQKY6W0A8GAtnIbAau3axdw//3y+XPPAbfeqvSISOPCvJ0R6uUs/a6xTo3USNGGt+N7hSC7sAwLNp5Ehr4UXUM8sGLKQFOPNNHUtna/KRGYXffeNtPtZX/HS4doebD64WhFvgei+rJp4g2I8NRVHaEKCQnADTeIFTrA+PE1W0URKd5PzRdr9idJbTqGd/JXekhE6tqZ4N4hbaXDnPODr3AfF5yef10rjYyo6d7fLGfTrujoh35tVJJNmzcPyMiQdx4QG67bsRUCWQaxoloEajvZT41USPFAjUhtzmYV4bv9Serrm7ZoEeDmBjz9tPyRyMIWFBxKypPq1Fwd+aeN1EP17TmIWtuizaekHoFiCqZfG2+ohqMj8M47QGio0iMhumC2RdSqid+7vae5+pPUhYEaUTMSC1vW/pssnT81RgW1aW+8IWfQRN80IgvGNh2kVgzUiJrRos2x0rv6EZ390SfCyrNpH30EvPCCnEVbv17p0RBdVE3jW9apkbowUCNqJgmZhfj+X5XUpv34I/Dww/L57NnyKk8iCza4qp+a2ENaX1Ku9HCImg0DNaJmsmjTKRgrgVFdAtA7vPmaNre6rVuB228XHaiBKVOA119XekRElyR6qYm9P0VGex/7qZGKMFAjagbxGQX44YBcm/akNdemHT4sZ89KSuSeaUuXikZVSo+KqMFtOoRdcZz+JPVgoEbUTLVpIps2uksAeoZZaTatuBgYNw7IywOGDQO+/hqwZ5sDssYFBQzUSD0YqBFdpriMAvxoyqZZcW2aszPw7rtA//7ATz/Jt4msMFA7nJyHfNapkUowUCO6TO9V1aaN6RqIHmGesGo33yzv5+lt5StWSZNCvJzRxtdF+n3cx35qpBIM1IguQ2y6Hj8dTLHe2rTkZGDsWODMmZr7uDUUqaFNB+vUSCUYqBFdhoWbYlFZCVwdFYjuoVaWTUtNBUaNAn7/XV7dSaQCbHxLasNAjaiJTqXp8fOhFOusTTt7Fhg+HDh5EoiIAD75ROkRETVroHY0JQ95xaxTI+vHQI2oiRZuOiVl067pFoSoEA9YjdhY4Ior5I9t2wJ//gm0aaP0qIiaRZCnEyL9XKU6tb0JzKqR9WOgRtQEJ9P0+OVwqnT+hDXVpsXEyJk0kVHr1ElubtuundKjImqZfmps00EqwECNqAkW/iFn067tHoSuwVaUTXv8cbk2rXt34O+/gbAwpUdE1GLTn9z3k9SAgRpRIx0/l2+d2TRh1SrgjjuAv/4CAgOVHg1Ri678jEnNR14R69TIujFQI2pCNk24rkcwugRZQTbt2LGacxGcffkl4Cv/ISNSowAPJ7Tzd5Wy3rsTmFUj68ZAjagRYlLy8euRc9L2l1aRTXvnHaBbN2DFCqVHQtSq2KaD1IKBGlEjdyGozqZ1CnSHxTIagZkzgaefhpRWEJutE2lw+pMLCsjaccdlogYSfZk2HK3Kpo224Gxafj5w993AunXy7bffloM2Ig0ZVLXy89i5fOQWlcHLRaf0kIiahBk1okbWpl3fMwQdLTWbFhcHDBkiB2mOjsBXX8lZNRFdEmlIgLsT2pvq1Dj9SdaLgRpRAxxJzsPvMWlV2bQOsEiZmcCgQcDRo0BIiNwj7fbblR4VkWKi23PfT7J+DNSIGuDdqmzaDb1C0CHAQrNpfn7AtGnAwIHA3r3AgAFKj4jIQhYUMFAj68VAjegSDifl4Y9jabC1AR63tNq0nBwgKanm9pw5wJYtckaNSOOqA7Xj5/TILixTejhETcJAjegS3v3jpPTxxt6haO/vBouxbx/Qty8wcSJQWirfZ2sLODkpPTIii+Dn5oiOAfLv7B72UyMrxUCN6CIOJeVi0/F0KZs2Y1QHy2m9IfqjDR0KnD4NZGUByclKj4rIouvU2E+NrBUDNaIG1KZN6BOKdpaQTTtzBhg9Wl7JWVYGTJgA7N/PjdWJLrXvJxcUkJVioEZUjwOJudh8PB12tjaYMUrh2jTRY+Dzz4GePeV9Ol1dgaVLgbVrAS8vZcdGZMEGRcr91E6k6ZFVUFUiQGRFGKgRXaI2bULvUET6uSo/3blkidzMNjoaOHAAeOgh9kcjugRfN0d0rup7yH5qZI0YqBGZsf9sDv46kSFl0x5Xqm+awQCUlMjndnbAypXAG28Af/8NdLCQejkiKzC4apcCtukga8RAjegitWk39QlFG19XZVZ0Dh4MPP98zX0dOwKzZwP23PmNqDHY+JasGQM1ovP8cyYHf5/MgL0StWmiJ9rkyXKzWhGsrVgB5Oa27hiIVGZgpByonUovQCbr1MjKMFAjqqc27ea+YYjwdWmdL1pYKDer7dRJXjQgiI3VjxzhYgGiy+TjqkOXoKo6NbbpICvDQI2oln/OZGPrqUwpm/ZYa/VNE3tyivYar7wCFBfL/dH27JEDtuDg1hkDkVbadMRnKj0UokZhoEZUy4KNcm3aLf3CEO7TStm0rl2BoiI5WPvmGzlw4z6dRC207yczamRdWJVMVGXv6Wxsi5WzaY+ObKFsmthBYPFi4OBB4JdfajZTF73RRI80B4eW+bpEGidWfopuNrHpBUjXlyDAnVutkXVgRo2oyoKNcm3apP7hzZtNE81qd+wA7roLaNsWmDcPWL8e2L275pp+/RikEbUgLxdRp+YhnbNOjawJAzUi6YU7CzvisuBg14y1aampclDWpYtcd/bll0BFBTB8uLyjQP/+zfN1iKhBok11amzTQdaDgRqRyKZVrfS8tX84Qr2cL69JbTWxB6fog3byJODiAtx7r9xyY8sWYOJEuYktEbUaNr4la2QRNWord57G0i3xyCgoRddgD8y5oRt6h9ffkuCXQ6n438YTSMopRqSvK567tgtGdglo1TGTeogmmKLAWGdn2/jaNLEIYOdO4M8/5ZqzkSOBd96RPzd2rByQjR8P3HIL4C63ByAiZQyK9JXq1OIzCpGeX4IAD9apaUH2qlXI/vgTVGRmwrFLFwS9+AKcRU1wPfI3bEDGwvdQnpwMXZs2CHjmabhdeSU0m1FbdzAFc38+hifGdMQvM4YhKtgdkz/eXW9TQtE+4fGv/8Vt/cOx/vFhuLpbIB76fB9OnNO3+thJXX3TbhsQjpCGZNO+/hp45hl5CtPbGxgzBnj9dXn/zXXraq4TOwiIKc7772eQRmQBPF0cEBUs16lx+lMb8tevR/r8N+H36KOIXLsGTp074+zUB1GRZf7fv2j/v0h++hl43XIzIr9fC7cxo5H42AyUiJkRrWbUPtqWgNsHhktTTsLrE3pg8/F0fLMvEdNHXJjd+GT7aVzZyR8PX9leuv301Z2lvlcrdp7GGxN7QCmlFQZkZOlhdy613muMHh6o9PKWb5SXwy45qW7BeS2V7u4w+vnLNyoqYHf2jOlzNuddaxTXBgRW3TDCPi62/jG4ucNY3ZurshL2J0/UPwY3NxjC5H8Xwf74sZprzr/W1RWGNm1rrj0WAxujwfwYnF1gaNe+7rUV5eaf19EJFZ271BmDTWlJrQtqneocUBHVve7zir5k5tjbobxnbxxJzpc2au6anYQn3N3k7FhODpCRIR8pKfKG6O++W/PYl1+WpzOrhYbKmbTRo4HrrjP/9YjIYtp0HE3Jl/by7dem6vWYmp3O3tYiVtZmfbYCXpMmwevmm6TbQXNeQcGWLchdsxZ+Dz14wfXZn6+E27Bh8H3gAel2wBNPoHDHDuSs+hLBc16B5gK1sgojjiTnYfqImj/atrY2GNrBD/vPmN82598zOXjginZ17hveyR+/Hz1n9vrS0lLpqKbXt0zmTfziz57zJX775LF6r/lg0C14c8R90nlETir+Xnbhf5Jqn/W9Hq9c9Yh07l+Qg72L76n32tU9rsKscU9I566lRTj67q31XruuyxWYceMs6dzWaED8WzfWe+0f7Qdg6i0vm26feHsiHA1VAdV5trfpibtuf8N0+9+Fd8C7xPzP+t/gzpg4+X+m2zuW3IcQvfkmlMf92uCaBxabbm9a/gjaZ9cKcGs54xWEKx/+qOZ7/ewJ9EiLM3tthqsXhj32hen2h9uWwW/5frPXStmwBQsgzZkId94pB3F9+wJXXCFvkF79OSKy+AUFH29LwPf/JksHtYy+EV5YO31oizy3Xq9Hfn6+6bajo6N0nK+yrAwlR4/WCchsbG3hGh2NYjEDYkbxgYPwve/eOve5DR0G/aZNUIqigVpOURkMxkr4udX9Afu7OSIuo9DsY0Qdm5+b7rzrdfVOlc6bNw9zxNY8LUz8mXaws0Wxfd3vpbLW3+9Ke3s42suzzQ4OdijU1T/NZnDQ1Vxrbwu9Y912EZXSV5SV6xxN1zoabJHn5HbetTVKHZ1N19oaK5HjLE8DmFPs5GK6Vshx8YCDoaLW91YzhgInt7rXunqiws7e7BjyXDzqXJvt6gW78zJppudx86pzbaabN1zKa2XUao0j082nzrVZbj5ILs43e22Oi6fpWrF4ILBzW6A4Ww64xJZN/v7yERQEtG8vLxKo3gxdZNSIyCoN6eCLHqGeOJnGcpmWJP4etpSoqKg6t19++WW8InZ2OU9FTq702m3nK6/2rWbn54vShASzzy3q2Ox8/S64Xtyv2anPljZ79mzMnDnTdDs5OfmCf+Tm0CfCGz8vmwaIox7Tqw6T9++v91qRdJUTr1XevbPea++uOkzeurnea2+pOkzeyKv32vFVh8nc+v+jjhUZtzrXJtZ7bcAF18q7AZgTeMG119Z7bUgjrg07/9pnRtR7LRGph4vOHutmDFN6GHQZYmJiECpKTqqYy6apiaKBmreLDna2Nhdkw0TWTGTVzBH3ZxaUnXd92QVZufpSorXTpURERGRd3N3d4eFR/2xQNXtvL6kNkuG8hQOGzCzYix1hzD3Gzw+GrMwGX6/6VZ+i2LB7qCd2xNb8UIzGSuyIzULfNubbc/Rp413nemHbqQz0ZVEoERERVbHR6eDUrRsKd+6qvguVRiMKd+2Cc+/eMMe5d6861wtiMUF912uiPcfUYZH4am8ivvsnCbHperzwwxEUlVVgUj95teHM1Qfw5objpuunDG2LLSczsPzveGnPNrHtz+HkPNwbXbPikIiIiMj3vnuR++23yP3+B5TGxeHcK3NgLC6G100Tpc+nzJqF9P9V9b4E4HPPZBRs24asTz5FaXw8Mha9j+KjR+F9V/3lR6qvURvfKwTZhWVSwJWhL0XXEA+smDIQ/u7ydGVybjFsahWt92vjg4W398H/fj+Bt347gbZ+Llh2T390DmKfKiIiIqrhMW4cKrJzkLHoPRgyMuHYtSsili8zTWWWp6SKpaCm61369kHo228h492FyFiwALq2bRD+/iI4deoEpdhUVtaz3E6lkpKSEB4ejsTERISFiZJyIiIisnRJGv37rfjUJxERERGZx0CNiIiIyEIxUCMiIiKyUAzUiIiIiCwUAzUiIiIiC8VAjYiIiMhCMVAjIiIislAM1IiIiIgsFAM1IiIiIgul+BZSrc1oNEofU1NTlR4KERERNVBq1d/t6r/jWqG5QC0tLU36OHDgQKWHQkRERE34Ox4REQGt0NxenxUVFfj3338RGBgIW1vrm/nV6/WIiopCTEwM3N25Ef3l4s+z+fFn2rz482x+/Jla58/TaDRKQVqfPn1gb6+dPJPmAjVrl5+fD09PT+Tl5cHDw0Pp4Vg9/jybH3+mzYs/z+bHn2nz4s+zZVlfSomIiIhIIxioEREREVkoBmpWxtHRES+//LL0kS4ff57Njz/T5sWfZ/Pjz7R58efZslijRkRERGShmFEjIiIislAM1IiIiIgsFAM1IiIiIgvFQI2IiIjIQjFQs2Kvv/46hgwZAhcXF3h5eSk9HKu0ePFitG3bFk5OThg0aBD27Nmj9JCs1t9//43x48cjJCQENjY2+OGHH5QeklWbN28eBgwYIHV6DwgIwIQJE3DixAmlh2XVPvjgA/Ts2VNqyiqO6Oho/Prrr0oPSzXmz58v/e4/+eSTSg9FVRioWbGysjJMmjQJ06ZNU3ooVmn16tWYOXOmtKx8//796NWrF8aOHYv09HSlh2aVCgsLpZ+hCH7p8m3ZsgWPPvoodu3ahY0bN6K8vBxXX3219HOmpgkLC5OCiX/++Qf79u3DqFGjcOONN+Lo0aNKD83q7d27F0uXLpUCYWpebM+hAp999pn0DiY3N1fpoVgVkUETGYv333/ftI9ceHg4ZsyYgeeee07p4Vk18a76+++/l7JA1DwyMjKkzJoI4IYPH670cFTDx8cHb731Fh544AGlh2K1CgoK0LdvXyxZsgRz585F79698e677yo9LNVgRo00m40U76rHjBljus/W1la6vXPnTkXHRmSO2EexOrCgy2cwGPD1119LGUoxBUpNJzK/1113XZ3XU2o+2tl+nqiWzMxM6YU6MDCwzv3i9vHjxxUbF5E5ItsrsuZDhw5F9+7dlR6OVTt8+LAUmJWUlMDNzU3K/EZFRSk9LKslgl1ROiKmPqllMKNmYcSUm5g2utjBQIJIexmLI0eOSH8U6fJ07twZBw4cwO7du6X63nvvvRcxMTFKD8sqJSYm4oknnsCqVaukBVnUMphRszBPP/007rvvvote065du1Ybj1r5+fnBzs4OaWlpde4Xt4OCghQbF9H5HnvsMfz888/SqlpRDE+XR6fToUOHDtJ5v379pEzQwoULpUJ4ahxRPiIWX4n6tGpipkL8XxW1v6WlpdLrLF0eBmoWxt/fXzqo5V+sxYv0pk2bTAXvYnpJ3BZ/GImUJtZ5iYUtYmrur7/+QmRkpNJDUiXxey8CCmq80aNHS1PJtd1///3o0qULZs2axSCtmTBQs2Jnz55Fdna29FG8ixHpfEG8WxS1F3RxojWHmPbo378/Bg4cKK1SEoXF4oWGmrbyKzY21nQ7ISFB+j8pit8jIiIUHZu1Tnd++eWX+PHHH6VeaufOnZPu9/T0hLOzs9LDs0qzZ8/GtddeK/1/1Ov10s9XBMG//fab0kOzSuL/5fk1k66urvD19WUtZTNioGbFXnrpJaxYscJ0u0+fPtLHP//8EyNGjFBwZNbhtttuk1oeiJ+j+CMolpRv2LDhggUG1DCiL9XIkSPrBMKCCIZFCxlqfHNW4fzf5U8//fSS5RFknpimmzx5MlJTU6WAV/T8EkHaVVddpfTQiOrFPmpEREREFoqrPomIiIgsFAM1IiIiIgvFQI2IiIjIQjFQIyIiIrJQDNSIiIiILBQDNSIiIiILxUCNiIiIyEIxUCMiIiKyUAzUiMhitW3bVtraqyWJXRNsbGyk48knn2zw41555RXT41p6jESkXQzUiEjzPDw8pG2FXnvttQY/5plnnpEeExYW1qJjIyJt416fRKR5IisWFBTUqMe4ublJh52dXYuNi4iIGTUianbLli1DSEgIjEZjnftvvPFGTJkyRTqPi4uTbgcGBkoBz4ABA/DHH3/U+5ynT5+WAqoDBw6Y7svNzZXu++uvv0z3HTlyBNdee630nOK577nnHmRmZjZq/MePH4eLiwu+/PJL033ffPMNnJ2dERMT06jnIiK6HAzUiKjZTZo0CVlZWfjzzz9N92VnZ2PDhg246667pNsFBQUYN24cNm3ahH///RfXXHMNxo8fj7Nnzzb564rAbdSoUejTpw/27dsnfb20tDTceuutjXqeLl264O2338b06dOl8SQlJeGRRx7Bm2++iaioqCaPj4iosTj1SUTNztvbW8pqiYzU6NGjpfu+++47+Pn5YeTIkdLtXr16SUc1UR/2/fff46effsJjjz3WpK/7/vvvS0HaG2+8Ybrvk08+QXh4OE6ePIlOnTo1+LlEkLZ+/Xrcfffd0Ol0UsZvxowZTRoXEVFTMaNGRC1CZM7WrFmD0tJS6faqVatw++23w9bW1pRREwX5Xbt2hZeXlzRVeezYscvKqB08eFDK4lXXj4lDZMeqp1obSwR5hw4dwv79+02rQ4mIWhMzakTUIsQ0ZmVlJX755RcpG7V161YsWLDA9HkRpG3cuFGaYuzQoYNU/3XLLbegrKzM7PNVB3jiOauVl5fXuUYEf+LriinK8wUHBzcp8CssLJS+tljh2ZTnICK6HAzUiKhFODk54aabbpIyabGxsejcuTP69u1r+vz27dtx3333YeLEiaYgSywYqI+/v7/0UQRMYnpTqL2wQBDPL7J4ov+avf3lvbyJmjoxvhdeeEH6miJDKDJrIqAkImotnPokohYjghuRURNTiNWLCKp17NgRa9eulYItkbm68847L1glWpsIkAYPHoz58+dLU6RbtmzBiy++WOeaRx99VAqw7rjjDuzdu1ea7vztt99w//33w2AwNGrsYvGAqG0TX+Odd96RHi+ygERErYmBGhG1GLEC08fHBydOnJACsdpE8CMWHQwZMkSarhw7dmydjJs5IuCrqKhAv379pF0E5s6dW+fzoiWIyNSJoOrqq69Gjx49pOtEDVz11GlDrFy5UlpI8Pnnn0uZOVdXV3zxxRdYvnw5fv3110b+FIiIms6msnbBBxGRxohFAiKYE609mkJMs4rHN2b7KSKihmJGjYg0Ly8vT1ohOmvWrAY/RrQAEY+5nFWqRESXwowaEWmaXq+XmuIKYopU9HprCFELJ47qhQ6enp4tOk4i0iYGakREREQWilOfRERERBaKgRoRERGRhWKgRkRERGShGKgRERERWSgGakREREQWioEaERERkYVioEZERERkoRioEREREcEy/T878MjYzlef7QAAAABJRU5ErkJggg==", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "stochast = Stochast()\n", "stochast.distribution = DistributionType.triangular\n", "stochast.minimum = 0.0 # parameter a\n", "stochast.maximum = 3.0 # parameter b\n", "stochast.shift = 2.0 # parameter c\n", "\n", "stochast.print()\n", "stochast.plot()" ] }, { "cell_type": "markdown", "id": "8b699cf5", "metadata": {}, "source": [ "### Trapezoidal distribution" ] }, { "cell_type": "code", "execution_count": 60, "id": "0f204348", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Variable:\n", " distribution = trapezoidal\n", "Definition:\n", " minimum = 1.0\n", " shift = 2.0\n", " shift_b = 3.0\n", " maximum = 4.5\n", "Derived values:\n", " mean = 2.6481\n", " deviation = 0.7462\n", " variation = 0.2818\n" ] }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "stochast = Stochast()\n", "stochast.distribution = DistributionType.trapezoidal\n", "stochast.minimum = 1.0 # parameter a\n", "stochast.maximum = 4.5 # parameter b\n", "stochast.shift = 2.0 # parameter c\n", "stochast.shift_b = 3.0 # parameter d\n", "\n", "stochast.print()\n", "stochast.plot()" ] }, { "cell_type": "markdown", "id": "3783f2e0", "metadata": {}, "source": [ "### Exponential distribution" ] }, { "cell_type": "code", "execution_count": 61, "id": "77db0e29", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Variable:\n", " distribution = exponential\n", "Definition:\n", " scale = 2.0\n", " shift = 0.5\n", "Derived values:\n", " mean = 2.5\n", " deviation = 2.0\n", " variation = 0.8\n" ] }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "stochast = Stochast()\n", "stochast.distribution = DistributionType.exponential\n", "stochast.scale = 2.0\n", "stochast.shift = 0.5\n", "\n", "stochast.print()\n", "stochast.plot()" ] }, { "cell_type": "markdown", "id": "4b9af14e", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [] }, "source": [ "### Gumbel distribution" ] }, { "cell_type": "code", "execution_count": 62, "id": "4cd52179", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Variable:\n", " distribution = gumbel\n", "Definition:\n", " scale = 2.0\n", " shift = 3.0\n", "Derived values:\n", " mean = 4.1544\n", " deviation = 2.5651\n", " variation = 0.6174\n" ] }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "stochast = Stochast()\n", "stochast.distribution = DistributionType.gumbel\n", "stochast.scale = 2.0\n", "stochast.shift = 3.0\n", "\n", "stochast.print()\n", "stochast.plot()" ] }, { "cell_type": "markdown", "id": "be905c99", "metadata": {}, "source": [ "### Weibull distribution" ] }, { "cell_type": "code", "execution_count": 63, "id": "d598000b", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Variable:\n", " distribution = weibull\n", "Definition:\n", " scale = 1.0\n", " shift = 1.0\n", " shape = 2.0\n", "Derived values:\n", " mean = 1.8862\n", " deviation = 0.4633\n", " variation = 0.2456\n" ] }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAmoAAAGwCAYAAAAZn0mrAAAAOnRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjEwLjAsIGh0dHBzOi8vbWF0cGxvdGxpYi5vcmcvlHJYcgAAAAlwSFlzAAAPYQAAD2EBqD+naQAAbPBJREFUeJzt3Qd4U+XbBvC7M917D6BQVtlbhgIuBAUUZDgQByruLY7Pv+ACJ+6BExAFkaEiqCiCskfZZbWMTrr3Tprvet/TdGALbWlyMu7fdR1zkpwk7zEkffKO57HT6/V6EBEREZHZsVe7AURERETUMAZqRERERGaKgRoRERGRmWKgRkRERGSmGKgRERERmSkGakRERERmioEaERERkZlyhI3RarXYu3cvgoODYW/POJWIiMgSVFVVIT09HX369IGjo+2EL7ZzptVEkDZw4EC1m0FEREQtsHPnTgwYMAC2wuYCNdGTZnijQ0ND1W4OERERNUFaWprsaDH8HbcVNheoGYY7RZAWERGhdnOIiIioGextbNqSbZ0tERERkQVhoEZERERkphioEREREZkpBmpEREREZoqBGhEREZGZYqBGREREZKYYqBERERGZKQZqRERERGaKgRoRERGRmWKgRkRERGSmGKgRERGRVSrZtQtJM+/DiUsvw5EuXVH4558XfEzxjp04OWECjvboifirRyFv5SqoiYEaERERWaWq0lJounRG8P9eaNLxFcnJSJo5E+4DByFq9Sr43XYb0l54AUX/boZabK4oOxG1TEmFFoVlWjjY28HPzRn29nZqN4mIWlNVFVBRAeh0yr7Y9HplE/suLoC7u3KsOCYjo/b+uptGAwQHwxx4XHaZ3ISUJhyft3QpnCPCEfzMLHld06EDSmP3IGfhQnhcOgxqYKBGRA2q1FXhz7h0/HowDTtP5SCjsLzmPmdHe/QM98bQ6ABM6BuOtv7VX95Etk4EKnbVP2IKCoDTp4HSUmUrKam/P3w40LmzcuzRo8AXXyiBUmWlshn2xeVddwFjxijHxsYC999f/xgRSBkCrKefBu67Tzl23z7gyivr3y8uDfvPPQfMmaMce+wYEBPT+Lk99hjwzjvKfkoK0LZtw8eJ11u/HsZSWFiIAvH/tppGo5FbayjZtw9ugwfXu8196DCkz50LtTBQI6J6dFV6LN2ViA/+isfZgrJ694lOtCo9UKGtwu4zuXJ7f8MJjOwchKdGdUbXUC/V2k3UKkTgk50NZGXVbkOHAmFhyv1btgAff6wEYQ1tS5YAN96oHPvHH8CkSY2/lgjMDIHamTPA2283fmx1r5AkgrwdOxo/Ni+vdl8EY+J8GiMCNgP7ZsyGEsFoQ5t4DicnGFPMOcHkiy++iNmzZ7fKc+sys+DoH1DvNscAf1QVFaGqrAz2olfRxBioEVGN+IxCPLZsPw6m5MvrAR7OuLFfJEZ2DkSXUC94uzrJnrbk3FLsOJmNdYfOYtPxTGw4moGNxzIw7ZK2mDW6C9yc+dVCZsQQrKSmKpvoDRo1CoiMVO7/8UelF0oEZYWF/338ihXAhAnKvnjsd981/lr5ymdH8vICgoIANzfA1VXZ6u6Hh9ce27498NRTgLOzEuiceymCRQMRqPz0U+39jo6Ag4MSJIlLw3kJXbsChw/Xv99wKTZPz9pjo6OV9huOEZsh+DIEYgbiNcT/VxXExcUhvM7/u9bqTTNX/DYlImnNgVQ8/eMBlFTo4OniiMev6oSbB7WBxtGh3nFODvaICnCX29SBbXAyswhv/3FcDpEu3HYGm+Oz8OHNfdm7RqYdbszNVeZQiUBIEENvb74JnDwJJCYqw4N1ieDMENCIx586VXufCEz8/YGAAOXSMC9L6NNH6fny9lYCsXO3wMDaY6++GkhPb9o5dOwIvPFG04718wPGjWvasSIgPN9wZl0iQBPnYOY8PT3hZaR2OgQGQJudVe82bVY27D08VOlNExioERG+3HwKL6+Jk/tDOvjj3am9EeTZtC+l9oEe+OiWvph6IhNP/LAfCZnFmPjJVnx0c1+M7BJk5JaTTRE9OElJwJEjolul/qUI1Or2fImesXPnSYkgSvTEiGFMH5/a20eOBLZurQ3OxH2NDQOKgOrxx414kqQmt969UbTpn3q3FW/dCtfevVVrEwM1Ihv38cZ4vPHbMbl/59AoPDemCxwdmp+559KOgVj3yKV4ZOk+2as2Y9FuzJ3QA5P71xmGIWoq0QMmAjARXIWG1vaCTZnS+GPS0mr3L7kE+PprZUhRTHoXzyGGCRsigjOxkdWpKi5GhehRrZN+o+zIETh4e8MpLAwZb78DbUY6wl5/Xd7vM3UqcpZ8h/Q334TPxIko3r4dBb/9hshPP1XtHBioEdmwpTsTa4K0x67shIeviIZd3XkozeTvocHXdwzAMysOYkVsMmatOAB7Ozvc2C+iFVtNVik5Gdi8Wdl27QIOHADKypRVhmK1oWG+lZiP1amTMpwnNnGbuBQ9XWKYz0D0mt1+u2qnQ+ah9NBhJE6fXnM9Y54SkHlffz3C5s2FNjMTlam1Ab5zRIQMytLnzUPuosVwDAlB6Msvq5aaQ2CgRmSjxCKA51cfkvsPjozGI1d2bJXnFXPY3prUE+4aByzadgZP/7gfbs4OGNOjuleEqC6RlmL0aCWNxbnEPCSxwtGgWzflupFXFZL1cB80EF2PHmn0fhGsNfSY9qtWwlwwUCOyQUk5JXjou1iZimNCn3A8cXWnVn1+0Ss3e2w3VOr0+H5nIh5btg+h3i7o08a3VV+HLIiYQ/bXX0rKCtH7JVY4Cm3aKCspxZwwMVF/2DBl2LJfP6BDh/pzxQwrEYlsCAM1IhsjcqA99P1eFJRp0SvSB/Mm9ryo4c7GiMoFr1zfHZmFZfjzSAbuXrQbqx8Yigjf6lV5ZP1OnABWrVJSSWzfXpvOoWfP2kBNrNL8919l+LJuqggikhioEdmYd9Yfx76kPHi5OOLDm/rIKgPGIspNvTe1D278dBuOpBXgnkV7sPL+IXBxqp/yg6yQWEm5cWP928R8MpGy4ppr6t8+aJBJm0ZkSdiHTGRD9iflYcE/CXL/jRt7IdLP+L1b7hpHfDm9P/zdnRGXVoDX1jY+X4QslJhf9sEHSj4yg3btlIn/V12lZPIXmfdFKo133/1voEZEjWKgRmQjyrU6PPXjflkCanzvMFzTPcRkrx3m44q3J/eS+2KBwbqDddIokGUSecq++goYMQKIigIefhjYvbv2/pdeUop2izlpou6kmItGRM3GQI3IRnzx7ykcTy+SZaHERH9TG9E5CDOHd5D7T684gLT8UpO3gVrBoUPAAw8o6S9EofBNm5TSQpdfXr9upMj678vFI0QXi4EakQ1ILyjDR3/Hy/3/uzYGvu6NJP40MrG6tHekDwrLtDLXmr7uUBmZP5HjrEcPZSizqEjJZ/baa8rQp1jRKVZrElGrYqBGZANe/+2orOHZt42PHPZUiyHHmljAIPK4Ld+drFpbqAmKi4E9e2qvDx6spMwQZZpEYCZyoD37LIc1iYyIgRqRldubmIuVsSly/8Wx3YySiqM5ooM8ZcF3QdQX5RCoGcrKAmbPVgKwsWOB8vLaot1i6FPU1BRDnSr/WyKyBQzUiKyYGFqcu+6o3J/YN0LmTTMHd1/aXhkCLdfilV+5CtSsktI+95xSG3POHCAnR8lzdupU7TEuLmq2kMjmMFAjsmJbE7Kx81QOnB3s8eSo1q0+cLH51V69oTvs7YBfD6Rh84kstZtk28R8s1dfVVZvzp2rlGnq2xdYtgw4dgzo0kXtFhLZLAZqRFbcmzZ//XG5f/OgNgj1rlOw2gx0C/PGbYPbyf0Xfz4kKyaQSo4cAf7v/4D8fKB7d6WSgEi1MXmyMtxJRLZbmWDRttP4bNNJZBaVo2uoF+aM6yaHRBrz5eZTWLL9DFLySuHn7ozR3UPx9DWdmemc6Bz/nsjC7jO50Dja474RSloMc/PYVZ2w5kAqEjKL8dWWUzXpO8gExEpNkZRWGDAAePRRYOBAYMoU1tMkMiOqfhp/2Z+KV9YcwSNXdsSvDw1DTKgnbvtyB7KKqieunuOnfSly9Zo4/s/Hh+P1iT3ll/ybvx8zeduJzL037d0/ld60Wwa1RbCXec4r8nZ1wjOju8r99/86gYzCMrWbZP3i44Hx45VyTomJtbfPnw/cdBODNCIzo+on8ovNpzB1YCQm949Ex2BPvHp9D7g6O+CH3UkNHr/nTC76t/XF+N7hsvTNZZ0CMa5XmCyLQ0S1RE9abGKeTIMxc0R7mLMJfcJlL7pIH/LenyfUbo71Eis3xQKBbt2An38GtFolWS0RmTXVAjUxH+VQSj6GRgfUNsbeTl6PPdNw4NWvrS8OpuTLgtJCYnYJ/j6WgZFdghp9nfLychQUFNRshaLsCZGVW/DPSXk5sW84gjzNszet7uf+uTFKr9rSXUmIzyhSu0nWZ9s2ZXGASLlRUQGMGgUcOABMm6Z2y4jIXOeo5ZZUQFelR4CHpt7tgR4aOV+lIaInLae4ApM+3Spr/2qr9LhlUBs8MDK60deZO3cu5ohfkUQ24mRmEf48ki737xpm3r1pBgOj/HBl12DZ7jd+O4oFt/VXu0nW4/HHlULo4kszMFApni4WCTAHGpFFsKjJCNsSsvHR3wl4eXx3rHl4GD69tR/+Ppoh57Y05tlnn0V+fn7NFhcXZ9I2E5maWHAj/iZf0SUI0UEesBTPjO4s03X8EZeO3adz1G6O9RB50MQ/iNtvV1Z3isUCDNKILIZqgZqvm7PMpXTuwgGx+lP0qjXknfXHMKFvOKYObIMuIV64pnsInrqmMz7eGI+qqoZrBmo0Gnh5edVsnp6eRjkfInMgepx/3KOUZbr7MsvoTatbsWDKgEi5P2/dUdYBbSkxtJmWVntdpN34+2/g668Bf381W0ZElhSoiUnO3cO9sTW+NtGlCLa2xmejb9uG03OUVur+80PQvvoGfqUTAT/uSUK5tgrdwrwwKMoPlubRKzvJ7waxGEIk66VmErU3RT3OceOAysraSgIjRqjdMiKyxKHPGcOi8P2uJNkDEJ9RiOdXH0JJhRaT+im/qh9ftk+m4zC4okswlmxPxM/7U5GUU4J/T2TinfXHcUXXYNk7R2TLxA+dJTuUdAvTLmmrek3PlhBpRG4eqBT4FulF2KvWDN99B/TrB8TGAidPKkEbEVk8VRPeju0VJodqRPb0zMJydA3zwsI7ByLQUxn6FElt6/6xeejyaNmj9vYfx3A2vwz+7s4ySHtyVGcVz4LIPGxJyMKZ7BJ4ahzlZ8tSieS83+1MxK7TSq9a3ZXh1EjajcceAz75RLkuiqUvWgSEh6vdMiKyhsoE04e0k1tDlt07uN51Rwd7OTQiNiKqT/Q2Czf0DYe7RvWP9kX3qn2z9bTsVRvSwd8iewdNVl1g0iSl3JPwwgvAiy+y7BORFbGoVZ9E1LD0gjKsr07JISoRWDrRqybmqhl61agRYiWnCNL8/IC1a4GXXmKQRmRlGKgRWYHlu5NkXkJRuaNziOWvbD53rho1QqzkHD0a2LtXuSQiq8NAjcjCiQn3K2NT5L4hvYU1kL1qDkqvGvOqVRNln0SqDYOoKKUnrY0S1BKR9WGgRmThREm1k1nFcHGyx+geobAWoldN5E0UPt2klMSyaaL83dixwBVXAL/+qnZriMhEGKgRWThDb9o13ULgYcGLCBoikvaKdQSitNSJdBuu05ueDowcCfz2G+DqqiS1JSKbwECNyIKVa3X45UCq3J/QNwLWpkOgB66OCa5XaN7mJCQAQ4cCe/YAAQHAxo3ADTeo3SoiMhEGakQW7O+jmcgrqUSwl8Zq843dO7yDvFy9L0XmT7QpIjgbMkQJ1sR8tK1bgQED1G4VEZkQAzUiC7YyVqnreX2fcKutztG3jS8GRvmhUqfHV1tOwWaI6gKi9FNGBtC7txKkdeyodquIyMQYqBFZqNziCvx9LEPuT7TCYc+6Zg5XCsx/tyMRBWXVNSytnehBu/NOJVjbtAkICVG7RUSkAgZqRBbq98NnZS9TTKgXOgVbfu608xnRKQjRQR4oKtfix91KL6LVE6so3n1XWUDg5aV2a4hIJQzUiCzUrwfT5OW1Pa0nJUdj7O3tcHt1qbmF207LAvRWac0aYOJEpX6nIVjTKLWPicg2MVAjstBhT0NppWutKHfa+Yical4ujrLwvGHI16qIxLUTJgArVwIffqh2a4jITDBQI7LQYU9RMkoMe7YLcIctcHN2xNTqslKiYLtV2bBBCdIqK4HJk4GHH1a7RURkJhioEVkgWxr2rGvaJW0hFrf+eyLLehLgitWc48Ypw52i8sC33wJOTmq3iojMBAM1Igse9hxjI8OeBpF+briqOgGuVfSqxcYCY8YAxcXAVVcBP/zAII2I6mGgRmTBw55RNjLsWdftQ6JqSmfll1hwqg7Rg3b99UB+PjBsGLBqFeDionariMjMMFAjsjC2OuxpcEl7P3QJ8URppQ7LdifCYonVnEuXAqNGKas93W0v6CaiC2OgRmRBRLLX7SeVYc/R3W0zAaqdXW2qjiU7Ei07VYcoDyXypHl7q90SIjJTDNSILMg/xzNlktsOge5oH+gBWzWudxg8NUqqji0JWbAYYlXn9OnAvn1qt4SILAQDNSIL8mdcury8snpCva0SqTpEXjVDWSmLoNcDM2YAixYBo0cDpaVqt4iILAADNSILUamrwoajSqLXq7radqAm3Dyorbz8Iy4dGQVlMHuvvKIEaQ4OwJdfAq6uareIiCwAAzUiC7H7dC4KyrTwc3dGnza+sHWdQzzRv62vXAH7w+4kmLUVK4D//U/Z//hjJSUHEVETMFAjshB/HlGGPUd2DoKDyPpKuHmQUqng+51JMmAzS3v3Arfdpuw/8ghwzz1qt4iILAgDNSILoNfrawK1q2KC1G6O2RAJf33cnJCSVyoXWpids2eVqgMlJcDVVwNvvaV2i4jIwjBQI7IA8RlFcoWjs4M9Lu0YqHZzzIaLkwMm9o2Q+0t2nIHZEQlsY2KAzp2BZcsAR0e1W0REFoaBGpEFWF/dmzYk2h/uGv6xb2j4Uyy0SM0zs5WUPj7Ar78Cf/+t7BMRNRMDNSILsPGYMqx3RRcOe56rQ6CHrFYgpqgt3WUmiwpOnKjdF71oobZZRYKILh4DNSIzV1hWidgzuXJ/eCcGaudL1bF8txksKhCF1nv0UHKmVVSo2xYisngM1IjM3NaEbGir9LIAext/N7WbY5ZGdQuWiwrS8suwJV7FSgU5OcDEiUrB9fR0zkkjoovGQI3IzG2qXs04vBMXETRG4+iA63srlQpUy6lWVQVMmwacPg20b68kt7XnVywRXRx+ixCZeVqOTdXz0xiond+N/ZTVn38cTkdeiQpDjq+/Dqxdq6z0FAlufZmUmIguHgM1IjOWkFksc4Q5O9pjUHs/tZtj1rqHeyMm1AsVuir8tC/VtC++fTvwwgvK/ocfAr17m/b1ichqMVAjsoBhz0FRfrIQOZ3f5P4Rph/+FAsGbr4Z0OmAqVOBO+803WsTkdVjoEZkxjg/rXnG9w6XSYEPpxbgcGq+aV7U2Rn46CNg0CDg008BO5b3IjInOUuWIP7yK3C0Zy+cmjwFpQcOnP/4hQuRcM1oHO3VGydGjET63LmoEguEVMJAjchMlVXqsONktty/jIFak/i6O+OqmGC5v3x3suleePRoYNs2wNvbdK9JRBdUsHYtMua9joAHHkDUyhVw6dwZiTPuhjZb+W49V/4va5Dx9jvy+Pa//orQV15Bwdp1yHxnPtTCQI3ITO04lYNybRVCvV3QMchD7eZYjEnVw5+r96WgXKszblJbscLTgD1pRGYn+5uF8Jk0CT4TJ0ATHY2QObNh7+KCvBUrGzy+dO9euPbtC++x18E5Ihwew4bC69prUXrwINTCQI3ITG1NUPKBDYsOgB2DgCYTtVBDvFyQV1KJP+MyjDcvbfJkZdHAxo3GeQ0ialBhYSEKCgpqtvJGhiX1FRUoO3wY7kMG19xmZ28P98GDUbpvX4OPce3TRz7GMDxakZSEon/+gcdll0EtDNSIzNTW+Oya+p7UdA72djWpOoy2qOCllwDxRS8S2oqC60RkMjExMfD29q7Z5s6d2+Bx2tw8ucjHwb/+d6hDgD+0WQ0nxhY9aYEPPYTTt9yKI917IOGqq+E2cAACZt4LtXAZGZEZyi+pxKHqyfBDOgSo3RyLIwK1D/+Oxz8nMpGWX4pQb9fWe/IdOwDDHwaxeIB1PIlMKi4uDuHhSoJrQaPRtNpzF+/YiawFCxDyvxfg2rMXKhLPIP21ucj8+GME3n8/1MAeNSIztP1UNvR6UXDcHcFeLmo3x+K0C3DHwHZ+8v/h6r2tmFOttBSYPl2pQnDTTcCNN7becxNRk3h6esLLy6tmayxQc/T1ARwcoDtn4YAuKxuOAQ3/AM58/314jxsH30mT4NK5E7yuugpBjz2K7AWfQy8+9ypgoEZkhrZW16tkb1rLTeir/OJeGZssKzy0iuefB44dU3rRRGJbIjJbds7OcOnWDcXbttfcJoKt4u3b4dpIUmp9aSns7M+ZE2zvUH1nK32PNBMDNSIzLcQuDOnA+WktNbpHqKzocCKjSOZVu2hbtgDvvqvsf/kl4MdKEUTmzv/26chbvhx5q1ajPCEBZ2fPQVVpKXwm3CDvT501S6bjMPAYORK53y9F/q+/oiI5GUVbtsheNo+RI2DnUB2wmRjnqBGZmYzCMhlciIWel7RnoNZS3q5OMqfarwfSsDI2RZaYuih9+wKPPKIMf4q8aURk9rzGjIE2JxeZH7wPXWYWNF27os3nC2qGPitT08RS0JrjA+6bKVPtZL73PrTp6XDw84PnyBEIfPRR1c7BTt9qYwKWITk5GZGRkUhKSkJEhLIyjMic/LQvBY8s3YduYV749eFL1W6ORfvrSDruWrgbAR4abH/2cjg6tMIggvjKZLoUIpNLttG/3xz6JDLXtBwc9rxooqKDv7szsorK8W/1vL9mS01VFg8YMEgjIhNioEZkZrZUJ7odEs2FBBfLycEeY3uFyX0x/NlsIpHmlVcCItll3SoEREQmwkCNyIwk5ZQgObcUjvZ2Mr0Etd7qzz8On0VhWWXzHizypR05AsTHA15exmkgEdF5MFAjMsOyUb0jfeCu4Vqf1tAj3FvmoxN1U9cdOtv0Bx4+DLz2mrL/wQdc5UlEqmCgRmRmhdiFQe0ZFLQWUSd1Ql9l4vGqpg5/6nTAjBlAZSUwbhwT2xKRahioEZmRndWB2sAoLiRoTdf3UYY/t53MRkpe6YUf8MknwPbtIgU68NFHXEBARKphoEZkJlLzSuX8NJEUu19bX7WbY1XCfVxxSXUv5eq9KRde5fncc8r+vHmADaUBICLzw0CNyEzsOq30pnUL84YH56e1ugl9qoc/96acv6RUXh4QHQ0MGgTMnGm6BhIRNYCBGpHZDXtyfpoxjO4RAo2jPeIzinAo5TwlpWJigF27gNWrAXt+RRKRuvgtRGRmgdoApuUwCk8XJ1zdLUTur4hNPv/BoqZfiHIsEZGaGKgRmYGc4gpZ31MY0I7z04zlhj5K8ts1B9Kg1dWpNiCIgusvvqjU8iQiMhOcCENkRvPTooM84O+hUbs5VuvSjoHwdXOSJaW2n8zBsI7V1R+SkoDnnwdKSoCuXYGpU9VuKhGRxB41IjOwi/PTTFZSakyPULn/0746qz8fe0wJ0oYNA6ZMUa+BRETnYKBGZAZ2VveosWyU8Y3vreRU++3QWZRV6oA//gBWrFDmpTFnGhGZGQZqRCorKtficKqyCpE9asbXv60vQr1dUFiuxabDqcCjjyp3PPgg0LOn2s0jIqqHgRqRymLP5EJXpZdJWcN8XNVujtWzt7fDuF7KooLcdz9Uiq77+wOzZ6vdNCKi/2CgRmQmCwkGsTfNZMb1DoOjTouRK75Ubnj5ZcDHR+1mERH9B1d9Eqlsz5lcedmPaTlMJibUC+1CfXDjLa/jy8Lt6HT33Wo3iYioQexRI1KRyOW1PylP7rO+p+nY2SnDn0k+IXj58hmAI3+zEpF5YqBGpKJj6YUortDJ2p4dgzzVbo7tOHq0Zp7alvgsZBaWq90iIqIGMVAjUlFsotKb1jvSBw72TAthEiIdR9euaDfrYfSK8EaVHlh7ME3tVhERNYiBGpGK9lbPT+vbhhPZTUKrBR5/XNn38qrJqVYv+S0RkRlhoEakotjE6kCN89NM48svgcOHAT8/4H//w3U9QyE6MkXPZmJ2idqtIyL6D9Vn0C7adhqfbTqJzKJydA31wpxx3eQwUGPySyvx1u/H8Nvhs8gvqUS4ryv+d10MRnYJMmm7iS5WdlE5TlcHB30iGagZXXFxba40cenrC/GtMbiDP7bEZ+OXA6l4YGS02q0kIjKfHrVf9qfilTVH8MiVHfHrQ8MQE+qJ277cIQsmN6RCW4VpX+5Acm4JPrmlL/56YjjmTuiBYC8Xk7ed6GLtrZ6fJgqxe7s5qd0c6zd/PnD2LNC+PXDvvTU3j+/F4U8iMl+qBmpfbD6FqQMjMbl/JDoGe+LV63vA1dkBP+xOavB4cXteSSUW3NYf/dv5IdLPDZe090dMmJfJ207UasOenJ9mfJmZwBtvKPuvvgo4O9fcNap7CJwd7HE8vQhHzyqlvIiIYOuBmugdO5SSj6HRAbWNsbeT12PPKD0N5/rzSLr8o/a/nw6h/yvrcfX8Tfjo73hZfqcx5eXlKCgoqNkKCwuNcj5ELU1027cNhz2N7uhRwNUV6NsXmDy53l3erk4Y0TlQ7v+0L1WlBhIRmVmglltSIQOsAA9NvdsDPTRyvlpDEnNKsPbQWfm4r28fiIcu74jP/z2JDzacaPR15s6dC29v75otJiam1c+FqCWJbg8k58t9LiQwgUsvBRISgKVLxS/C/9xtWP35875UVJ3nhx8RkalZ1KpPvR4IcHfG3Ak90SPCG2N7heHBkdFYsiOx0cc8++yzyM/Pr9ni4uJM2maihhw9W4jSSh08XRwRHeihdnNsg4cH0LFjg3dd0TUI7s4OSMkrrRmSJiKy6UDN181ZJvg8d+GA6E0TvWoNCfTUICrQvV5i0A5BHjKruBhKbYhGo4GXl1fN5unJ7O+kPkMw0KeNrxzyJyPZvx9Ytgyoavj7wcDFyQGjuoXI/Z/3c/iTiMyHaoGas6M9uod7Y2t8Vs1tYshha3w2+rZteHJ1/7a+OJ1VUm9o4lRmMYI8NfL5iCxFLBPdmsZTTwFTp8qcaRcytrdSUkpUKRBD00RE5kDV6GbGsCh8vysJP+5JRnxGIZ5ffQglFVpM6hcp73982T68/tvRmuNvvaStzKM255fDOJlZhA1H0/HxxnjcNritimdB1PLSUVxIYER//QWsXw84OQF33nnBw4dFB8DXzQlZRRXYmpBtkiYSEZl1wlsxxyynuALz1x+Xw5ddw7yw8M6BcohTEPNF7Oxqh4XCfFzl/S+vicM17/2LEC8X3DE0CjOHd1DxLIiaRwz3i4Ux4p92b/aoGW9C6//9n7I/c6aSO+0CnBzsMaZHqJzzKoY/L+ukrAQlIrLpygTTh7STW0OW3Tv4P7f1a+uL1Q8MNUHLiIxjnyHRbaAHvFyY6NYo1q4Ftm9XUnI891yTHzauV5gM1H4/dBavXN9dzl0jIlITJ3YRmdiBZCVQ63WeUml0kb1phjlpDz4IhCiLBJpiQDs/hHq7oLBci43HMo3XRiKiJmKgRmRi+6rzp/WK8Fa7KdZp9WogNlZJx/H00816qFiBKwq1G0rcERGpjYEakQnp9Xr2qBlbQADQrx/w6KPKfjONq679KSqhFJVrjdBAIiILmqNGZEuSckplvVpRW7JLCGvUGq0Kwa5dQGVlix7ePdwLUQHuOJVVjPVxZ3FDn4hWbyIRUVOxR43IhPZV96Z1DfVk7j9jEktq6xReb95D7eSKdENJKSIiNfEvBZEJHUjisKfRiAoEL78MFBRc9FON66XMU/v3RBZyiytaoXFERC3DQI3IhAyF2HtGMFBrVWKY89lnldWeX3xx0U8XHeSJrqFe0FbpsfZQWqs0kYioJRioEZmIKEt0MIUrPo1i4ULg1CkgOFhJcNsKRE41gas/iUhNDNSITCQ+swillTq4OzugfaCH2s2xrt60115T9mfNAtzcWuVpx1YPf+44lYOz+WWt8pxERM3FQI3IRA4kKb1pPSK84WBfWxqNLtJ33ym9aUFBwL33ttrTRvi6yUooIn/umgPsVSMidTBQIzLxis9enJ/WenQ64NVXlf0nnmi13jQDDn8SkdoYqBGZiCHRLRcStPJKzxMnAH9/4P77W/3pRZF20fm5Pzkfp7OKW/35iYguhIEakQmUVepwNK1Q7veK5EKCVtO/P3DrrcBTTyklo1pZoKcGQ6OV6gbsVSMiNTBQIzKBuLQCmerB390Z4T6uajfHenTqBCxerCwiMJKa5Lf7U2UJMCIiU2KgRmTCRLc9I7xl5nuyHKO6hciSXycyinD0rNIrSkRkKgzUiEyAiW5b2S+/ANOmAUePGv2lvF2dMKJzYE2vGhGRKTFQIzKBA4ZEt5yfdvHE8OOcOcC33wKLFpnkJcf1rl39yeFPIjIlBmpERlZSoUVCZpHc7xHOHrWLtm4dsGePkorjscdM8pJXdAmWiYqTc0sRm6gMYxMRmQIDNSIji0stkJ1AwV4auYqQLoL4H2nIm3bffUCgMiRpbK7ODrgqJljuc/UnEZkSAzUiIztUPezZPYzDnhdt82Zg61ZAo1ES3JqQYfXnmgNpsm4rEZEpMFAjMrJDqQXysls4A7WLNm+ecnn77UCoUovTVC7tGCgXFmQVlcv6n0REpsBAjchkPWpeajfFsh04AKxdC9jbA08+afKXd3a0x5geIXL/530c/iQi02CgRmTkigQi/5bQnT1qF6dNG+CVV5S5adHRqjTBMPy57lAayrU6VdpARLaFgRqRER07WwhdlR5+7s4I9XZRuzmWzccHeP554MMPVWvCoCh/BHlqUFCmxT/Hs1RrBxE1Xc6SJYi//Aoc7dkLpyZPQanonT8PXUEBzr70Eo5feimO9uiJhFHXoGjTJqiFgRqRER1KVYY9u4V5sSKBFXCwt8N1PWtLShGReStYuxYZ815HwAMPIGrlCrh07ozEGXdDm53d4PH6igok3nkXKlJSEPHee2i/bh1CXn4JjsHKqm81MFAjMqJDKcpCAg57XoT0dGDkSGD1aiU9h8oMyW//jEuXOfKIyLQKCwtRUFBQs5WXlzd6bPY3C+EzaRJ8Jk6AJjoaIXNmw97FBXkrVjZ4fN7KldDl5yPyww/h1rcvnCPC4T5wIFy6dIFaGKgRGdHh6h41pua4CO+/D2zcWLviU2W9IrzR1t8NpZU6rI9LV7s5RDYnJiYG3t7eNdvcuXMb7R0rO3wY7kMG19xmZ28P98GDUbpvX4OPKdywAa69e+PsSy/j+NBhODl2LLI+/Qx6nXpzUhmoERlJpa4KR9OUIt7dw7nis0UKCoCPP1b2n3kGMIPhYzGEPbZ6+JPJb4lMLy4uDvn5+TXbs88+2+Bx2tw8QKeDg79/vdsdAvyhzWp4jmllUjIKf/8d+iodIj/7DAH33Yecr79G1iefQi0M1IiM5ER6ESp0VfB0cUQbPze1m2OZFiwA8vIAMewwbhzMhWH4c9PxTOSVVKjdHCKb4unpCS8vr5pNIxJgt5aqKhnYhb70Ely7d4PXmDHwnzkTucuWQi0M1IiMhAsJLpKYd/LOO8r+008r+dPMRKdgT3QJ8USlTo/fDp1VuzlE1ABHXx/AwQG6cxYO6LKy4RgQ0NBD4BgYCOd2bWHn4FBzm6ZDe+gys+RQqhrM55uPyMocZumoi7N4MZCWBoSHA7fcAnNjyKnG1Z9E5snO2Rku3bqheNv2mtv0VVUo3r5dzkNriGvfvqg8kyiPM6g4fVoGcOL51MBAjcjIpaO44rMFxJfkW28p+48/Dqj0BXk+46oDtW0ns5FRUKZ2c4ioAf63T0fe8uXIW7Ua5QkJODt7DqpKS+Ez4QZ5f+qsWch4u7rnHoDvTVPlqs/0V19D+alTKNy4EVmfLYDvLTdDLY6qvTKRFRNJbuNqAjUuJGiRl15S5qjNmAFzFOnnht6RPtiXlCcLtd85LErtJhHROcQcM21OLjI/eF8OX2q6dkWbzxfUDH1WpqaJpaA1xzuFhiLyi8+RPm8e8sZfL/On+U2bBv+71fseYqBGZASnsopk+gZXJwdEBXio3RzLI+ajTZ6sbGZM9KqJQO2XA6kM1IjMlN+tt8itIW0XL/rPbW59+iBq2TKYCw59Ehkx0W1MmJfMZk/W6bqeoRBv797EPCTllKjdHCKyQgzUiIzgUPVCgh6cn9Z8Tz4JvPGGkpbDzAV5ueCS9kqOJi4qICJjYKBGZOTUHNQMSUnAu+8Cs2YBp07BEhgWFTD5LREZAwM1olam1+txuHohQTem5mh+uShRqkXU9uzTB5ZgdPdQODnY4ejZQhxPVypREBG1FgZqRK0sObcUhWVa+cc7OogLCZpVLkqs8hSeeAKWwtvNCcM7Bcr9n/exV42IWhcDNaJWdiRN6U3rEOgBZ0d+xJrsyy+VYE2Uixo9GpakbvJb0aNKRNRa+FeEqJUdqS7ELlZ8UhNptcB779UmuDWjclFNcVVMsEzFkphTgv3JyvxEIiKT5VG79v1/m/WkoqzhF7cNQIi3S0vbRWTxPWoxoQzUmmzFCuDMGSAwELj1VlgaN2dHXBkTLBcUiOFPkQiXiMhkgVpcWgHuvrQ93Jxri5Q2RvT6f7IpARXa2jpZRLbkyFklUOvKQK3punUDbr4ZiIkBXF1hicTqTxGorTmQiuev7cr8eUQ2In3uvGY/JuC+mXDw8WndygT3XNYeAR6aJh37xb8nm/q0RFalqFyLM9lK4lMGas3QvTuwZAks2WWdAuDl4oiMwnLsOJWNIR2UEjVEZN1yFi2SRd7tnJyadHxJbCx8b72ldQO1f58eCX/3phdFXv/4cAR7cdiTbM+x6t60YC8N/JrxmSHLp3F0kKk6lu1Okj1rDNSIbEfEhx/A0V9Jfn0hx/r2a9ZzN2nGboSvG+zExLMmCvNxZbc/2SRDIXb2pjVRQgIwcyYQFwdrYFj9ufbgWU7/ILIRoa+9BntPzyYfHzJnTpODOuGillaNmv8PUvNKL+YpiKxKnGHFJwO1pvngA+Czz5SyUVZgcAd/OUUkv7QS/57IVLs5RGQCPjdcD3vnpo+geI+9DvZubqYJ1JJzS6DVMWcQ0bkrPtmj1gQiZ9pXXyn7jzwCayBGEkShdoElpYhsW9qcOdDm5l7081hWsiIiM6ar0uPYWaVHjYFaE3zzDVBYqCS4vfpqWAvD8OcfcekordCp3RwiUknBz7+gqqhI3UBtQJQfXJwY6xEJZ7KLUVqpk5+JqAB3tZtj3qqqlGFP4aGHlOSLVqJvGx9E+LqipEKHv46mq90cIlJLK1Upuago65s7BiKIqzuJ6lUk6BzsycU0F7J2LRAfD3h7A7fdBmsiFl7VlJRi7U8iMkWgtj4uHZW6pq9g+vtoBsoq2eVPtiUuTSkdxGHPJjCUi5oxA/CwvsL1IvmtsPFYplxYQES2p3PsHjhHRpomULt38W4UNOPL5qHv9yKjoPxi2kVkcVjjsxnDnoMHAyEhwIMPwhp1CfFExyAPVOiq8Pvhs2o3h4iMSNfMeWi6ouJmHd+khLdilPXJ5fvh7Ni0kdJyLXvTyPZwxWcTiYLrL70E/O9/gGOTi6NY3PCn6FV7e/1xufpzcv+L/1VNRObp+MBB6PjvP03OjRY/fDiiVq9qcm9bk74lJ/aNQHOM7x0ODxfr/AImakheSQXS8stqelOoCaw0SDMYWx2obYnPQmZhOQI9m1aCj4gsjF6PvOU/Njk3ml6rbdbTN+mb8q1JvZr1pES2Jq66Ny3SzxWeLk2r92aTVqwAXFyA0aOVnjUr1i7AHb0ivLE/OR9rD6Zh+pB2ajeJiIzAKTQUecuXN/l4x4AA2DXjh6p1/6QlMvH8tK4hHPZslPgV+dhjQFKSUoD95pth7USvmgjUft6fykCNyEpFb/jLqM9v3T9piUyE89OaYPVqJUgLCAAmTIAtEIGaSBG350yurORCRNRcDNSIWgGLsTcjJce99yrDnzYg2MsFg6L85P4v+9PUbg4RWSAGakQXSaurQnyGsjybxdgbERsLbN6sLCC4/37Ykprkt6z9SUTGCtR6zfkDOcUVcv+p5ftRVN68FQtE1uxUVrHMl+Xm7CBLB1ED3n9fuZw0CQhTAhdbMaZ7KBzt7eTwuKEWLBFRqwZqoipBUZkSnK2ITUY5qw4Q1TiWrvzx7RTsCXuWjvqv9HTg+++V/Ucega3xdXfGyC5Bcn/l3mS1m0NErSz5oYdqkt7mrV6NqgqlY6u1NGnVZ982vrhn8W50D/eWyW9n/xIHl0aS377JVB5kYwy9JMyf1oi0NCAmBtBogEGDYIsm9g2XpfhW703B06O6sBYskRUp3LgJwSUlcPDwQNpzz8Pj0kth38Tkt60WqM2f0htfbj6FxJxiiK+XwrJKlDtwehuRcLQ6UOvMQK1hvXsrc9Ryc2GrRI+at6sT0gvKsTUhC5d2DFS7SUTUSjRRUch8Zz7cxA9RvR4F636DvYd7g8f6XH+9cQI1kVH7mdFd5P6w1zdg/uTesjufiGp71BionYfIUeGnrH60RRpHB4ztFYpvtydiZWwKAzUiKxIyezbSX5+Hok2b5HddpljhLr7zzmVnZ7xAra7Nsy5v9osQWavici0Sc5T8WJ2DGaj9x48/AqNGAZ78fyNK8YlA7bdDZ/Hy9Vp4aJhvnMgauPXtg6hly+T+ka4x6PDbuibX/WyKJn1TfL3lVJOf8I6hURfTHiKLcqI6LUeAhwb+HqzlWM/Bg8oqT19fIDER8PCALesd6YP2Ae44mVUsg7Ub+zWvhjIRmb/oP9fDoZVHD5oUqIn5aXWJVB2llTp4Vdc0LCirhKuTA/w9nBmokU05dlZJdMuFBA34+GPl8vLLbT5IE+zs7DChbzje+uM4VsYmM1AjshJlx47Vu647frzRY106dzZOoFZ3uPOnfSlYvO0MXr+xJzoEKl++CZlFeHbFQdw8qA1aYtG20/hs00lkFpXLzO5zxnWTvz4vRCSQfPj7vbgqJhif39a/Ra9NdDG4kKAR+fnA4sXK/gMPqN0as3F9HyVQ23YyGyl5pQj3Yd49Ikt36voblDlpen3Dc9Pq6Bp3uNnP3+ylm2//cRyzx3WrCdIEsf/CdTF464/6UWVT/LI/Fa+sOYJHruyIXx8ahphQT9z25Q5kFZWf93FJOSV47dcjGNjOdicokxktJOD8tPoWLgSKi5W0HCNGqN0asxHh64ZL2vvJ73ORqoOIrGO4M3r9H/Iy4v334BQRgZD//Q9Rq1bKTew7R0bK+1qi2YFaRmEZdFUim1p9Or3+gsFVQ77YfApTB0Zicv9IdAz2xKvX94CrswN+2J3U6GPE6z+6bB8eu6ojIv3czvv85eXlKCgoqNkKC5kZnFrP8epkt+xRq0NEIYZhT9GbdoFfmLZmQl9lyFMMf+rF/ysismhO4eE1W9ZnCxDy/HPwnTpFDnOKTewHP/cssj7+xDSB2tAOAXhu1UEcSsmvue1gcj7+b/VBDIsOaNZzVWir5PMMrfM4kdldXI89k9fo49776wT83Z0xZcCFh1rnzp0Lb2/vmi1G/MInagXih0lWUYWMQ0RVAqr211+AmLMhVnpOm6Z2a8zO6O4hcHGyR0JmMQ4k136PEpHlKz9+XPaonUvcVp6QYJpA7Y0be8q8amM/3IxOz6+T2/iPNstVb/Mm9mzWc+WWVMjeMfHYugI9NHK+WkN2nc7BD7uSmvxazz77LPLz82u2uLi4ZrWR6ELDnm393GQvMFXbs0f84gKmT2dajgZ4ujhhVLeQml41IrIezh3aI3vBAujrlJES++I2cV9LNDuRj0hB8M0dA3EyswjxGUVyJVOHQHe0rzNnzVhEMfjHlu3D3Ik94NfEhLsajUZuBmL4k6g1FxKwN+0cs2YBU6cCjswTdr7hz5/2pcoFUc9fGwPnRkryEZFlCZ09G0n33Y8TI0ZC07mTvK382HE5BSTyk+opIc3U4m9SEZhFBSglEkSw1hK+bs6y5t25c9tEb5roVTvXmexiJOeWYsbC3TW3VVXP8ejw3FpseGI42vo3XLaBqLUxNcd5tG2rdgvM2tAO/gjy1CCjsBwbj2Xg6uoeNiKybK49e8qFBfm/rEHFyZPyNq/Ro+F93XWwdzv/nPpWDdSW7UqUudVOZykZ2dsFuOHOoVGYOrB56TnEr0hR6H1rfFbNUEBVlR5b47Nx25D/ftGL1aW/P3pZvdvESlORHf7Fsd0Q6s2l7mQ6x9KVZLedQ7zUbop5KC8HUlOBKOZSvBBHB3uZqmPBPyexIjaZgRqRFbF3c4PvlMmt93zNfcA7fxzDnF/icEXXYHx0S1+5if2X18TJ+5prxrAofL8rCT/uSUZ8RiGeX30IJRVaTOoXKe9/fNk+vP7bUbnv4uQgV9fV3UTSXXeNo9zn8AGZivhBcYIrPuv74QegQwfg3nvVbolFEMlvhQ1HM2QScSKyfFmfLUDeihX/uV3clvX556bpUft2RyLmTuiB8b2VLxlBJJwVwz+zfz6Mx69uXtbdsb3C5JfU/PXHkVlYjq5hXlh450C5YEEQSSFbOrRKZCxJuSUoqdDJHwft/FvWnW11PvpISc3RpmWJr21NlxAv9Izwlis/V+1NwV3D2BNJZOnyli1D2Ftv/ed2TXQ0sh5/AgF33238QK1SV4WeEf+tGtAj3BvaBvKrNcX0Ie3k1pBl9w4+72PfntyrRa9J1BoLCaIDPeQwls3bvRvYsQNwdgZa8EVkqyb1j5SB2vLdSbhzaDv+KCWycNqsLDgGBf7ndlH/U5uZ2aLnbPZfmAl9wvHt9jP/uf37nYm4vk4vG5EtpObgQoI6vWmCKMIeFKR2ayzGuF5h0Djay8D/YJ3clERkmRxDQ1AaG/uf28Vtji38bmzRYgKRx+zfE5noE+krr+9LykNqXqmccyHmqhmIslJE1ugY56fVys4Gvv9e2Wddz2bxdnXCNd1DZKoOUY2lodEKIrIcvpMmIf21udBXauF+ySB5W/H27ch48y343XGHaQI18QeqW7iyyu1MTrHSMHcnuRn+eAl2YBc+2UCNTwZqwJdfKis++/YFLrlE7dZYHFE+TwRqYvu/a2Pkoikiskx+d90FXV4ezr70EvSVlfI2O40G/jPuQsC995gmUFt6z/nnjBFZu3KtDqeylB8pDNRQvzeNc6yabXB7f0T4usockb8fPltvoRYRWRYxzzToyScRcN99KD95UgZpzu3awV7M320hzoImaiZRkUOUPvNycUSIl4vazVHfv/8CCxYo1Qio2UR9Y0M6IjH8SUSWz97dHa49esClU6eLCtLkc7Vaq4hsxPHqIX6RXoGr9AB4eCgrPVuYdZuAif3CZWfklvhsJOUoicSJiAQGakTNdOysUpGgU4jx69uatbIyJW8aXbQIXzcMiw6Q+8v3sFA7EdVioEbUTIaKBDZfjP2554BevYB169RuidXkVBN+3J0kh9aJiAQGakTNdDxDCdQ6BtlwoFZcDHz1FXDwoNotsRpXxwTLeY+p+WXYmpCldnOIyEwwUCNqBlGHVqzOEzoF2/DQ53ffAfn5Sm3PUaPUbo1VEGk5RKF24YfdHP4kIgUDNaJmSMgoltOy/Nyd4e+h1KO1OeJ/gKESwX33iWWLarfIqnKqCSJNR14JC7UTEQM1ohat+OwYZMO9aVu3Avv3A66uQAszbVPDuoV5oWuoFyq0VbJQOxFdvJwlSxB/+RU42rMXTk2egtIDB5r0uPxff8WRLl2R9MCDUBMDNaJmOJFRveLTlhcSGHrTbr4Z8PNTuzVWRaR7uXmg0qv23Y5E6LmqluiiFKxdi4x5ryPggQcQtXIFXDp3RuKMu6EVpe/OoyI5BRlvvAnX/v2gNgZqRC1a8WmjPWrp6cCPPyr7rOtpFOP7hMPVyUH+KNh9Jlft5hCZncLCQhQUFNRs5aKEXSOyv1kIn0mT4DNxAjTR0QiZMxv2Li7IW7Gy0cfodTqkPvUUAh96EM4Ryg8nNTFQI2rBis9oW13xGRgI/Pwz8NRTQJ8+arfGKnm5OGFcr7CaXjUiqi8mJgbe3t4129y5c9EQfUUFyg4fhvuQ2tKXdvb2cB88GKX79qExWR99DAd/P/jceCPMQbNrfRLZ8orPpBwbX/EpFg5cc42ykdHcPKgNlu1Owq8H0/C/62Lg635xJWiIrElcXBzCw2tr4mo0DS/s0ubmATodHPz9693uEOCP8lOnGnxMyZ49yFuxAlGrV8FcsEeNqBkrPgV/W17xSSbRM8JbLiwQiwpWxDJVB1Fdnp6e8PLyqtkaC9SaS1dUjNSnZyH05Zfg6OsLc8FAjai5Kz5ttTdt8mTg2WeBjAy1W2IbiwoGtZH73+3kogKilnD09QEcHKA7Z+GALisbjgFKyba6KpMSUZmSgqT77seRbt3llv/TTyjasEHuVySqMxWBgRpRE9l0RYLDh4Hly4E33wQqmN/LFMb3Doe7swNOZhZjx6kctZtDZHHsnJ3h0q0birdtr7lNX1WF4u3b4dq793+Od27fHlE//4SoVStrNo/LL4fboEFy3ykkBGrgHDWiJopPN6Tm8LDdlBzjxwMREWq3xiZ4aBwxrnc4vt+ZKBcVXNK+/jwbIrow/9unI/WZZ+HSvTtce/ZAzsJFqCothc+EG+T9qbNmwTEoGEFPPA57jQYunTrVe7yDp/LD/NzbTYmBGlFze9RsLYdaQQGweLGyz5QcJnXLoDYyUPvt0FnkFFfIihhE1HReY8ZAm5OLzA/ehy4zC5quXdHm8wU1Q5+VqWliKSjMGQM1omau+LS5qgSLFgFFRUDXrsDIkWq3xqZ0D/eWCwsOJOfjxz1JuOeyDmo3icji+N16i9wa0nbxovM+Nmxew6k/TMm8w0giMxFfXZHA5lZ8iknsH39c25tmZ6d2i2zOzQOVRQXf70ziogIiG8RAjagJTlTPT7O5FZ9//w0cOQJ4eADTpqndGps0tleYnK92KqsYW+LPX/aGiKwPAzWiZsxPs7kan1FRwIMPKr1pXl5qt8YmuWscMaGvktxz0bbTajeHiEyMc9SImtOjZmvz00Sg9sEHarfC5t02uC0WbTuDP4+kIzm3BBG+bmo3iYhMhD1qRM1KdmtjPWpkFkRt2aHR/qjSA0tY/5PIpjBQI2rCis/kXEONTxsJ1MrLgXvuATZvVhYUkOpuG9xOXi7dmYiySp3azSEiE2GgRtTEFZ8BHs62k8dqxQrg88+BKVMArVbt1hCAK7oEIdzHFbkllfhlf6razSEiE2GgRnQBx6vnp0Xb0vw0QyWCe+8FnJzUbg2JCcUO9rj1krZyf+G200zVQWQjGKgRXcAJW1vxuXcvsHWrEqCJ4U8yG1MGRMLZ0R6HUgqwNylP7eYQkQkwUCNqcg41T9vqTZs4EVCpCDE1TAy9j+sVJvcXbWWqDiJbwECNqIkrPjvZwtBnbi7w3XfKPut6mqXp1YsKfj2YhszCcrWbQ0RGxkCN6DyKy2tXfNpEj9rXXwOlpUDPnsDQoWq3hhrQI8Ibfdr4oFKnlwXbici6MVAjOo+ETBtb8RkQALRvz7qeFtKrtnj7GZRrmaqDyJoxUCNqworPjkE20Jsm3HYbcOIEcMcdareEzmNMj1AEe2nk0Oea/WlqN4eIjIiBGlETcqjZVDF2e3um5DBzYuXn9CFKr9oXm08xVQeRFWOgRtSEQM3qc6idOQMsWaJUJCCLcPPANnB1csCRtAJsS8hWuzlEZCQM1IiaMEctOtDKA7WPPwZuvRWYNk3tllAT+bg5Y1L/iJpeNSKyTgzUiBohJmmfyS62/h41scrziy+UfRGskcW4Y2iUXPOx4WhGTe8vEVkXBmpEjTidVYIqPeDp4ohATw2s1rJlQE4O0LYtcO21areGmiEqwB1Xdg2W+19tYa8akTVioEbUhPlpdtacqsJQiWDmTMDBQe3WUDPNGBYlL1fsSUZOcYXazSGiVsZAjehCgZo1z0/buRPYvRvQaIC77lK7NdQCA6P80CPcG+XaKizZfkbt5hBRK2OgRtSIeMNCAmuen/bBB8rllClAYKDaraEWEL29My5VetUWbmMCXCJrw0CN6AI9ah2stUetqgrIylL2H3pI7dbQRSbADfV2QVZROVbFpqjdHCJqRQzUiBqgq9LjpLX3qInEtuvWAcePA/37q90aughODva4q3qu2mf/nJT/fonIOjBQI2pASm6pnPMjMsBH+rnBqnXsqHYLqBXcNLANfNyccCqrGL8dOqt2c4iolTBQI2pAfGahvGwf4A4Heytc8XngAJCernYrqBW5axxrirV/vDGeZaWIrAQDNaLzzU+z1mHPu+8G2rQBfvpJ7ZZQK7p9SDu4OTvgcGoB/jlRPf+QiCwaAzUiW0vNsWOHkpZDGDxY7dZQK/J1d5ZDoMLHf8er3RwiagUM1IhsrRj7++8rlzfdBAQFqd0aamUiVYeTgx12nMrBnjO5ajeHiC4SAzWic4i5PVYbqKWmAj/8oOwzJYdVCvV2xYQ+SrH2TzayV43I0jFQIzpHZlE5Csq0EGsIRC1Fq/LZZ4BWCwwdCvTrp3ZryEjuGd5eFmv/80gGjp1VFsYQkWVioEZ0DkNvmkjL4eJkRbUvy8uBTz9V9h9+WO3WkBGJJM2ju4fUrAAlIsvFQI3oHAnWupAgNhYoKADCw4EbblC7NWRk94+Ilpe/7E9FQnXyZiKyPAzUiM5htfPTxArPpCRljpqTk9qtISPrHu6NK7sGQxQp+HADe9WILBUDNaJGirFbZQ61gABgyBC1W0Em8uiVStWJn/alsFeNyEIxUCOyhR61M2fUbgGp3Kv2wV8n1G4OEbUAAzWiOgrKKpFeUG5dgVpKChAdDQwbBhQXq90aUqlX7ef9qTU/QojIcjBQI2pgIUGQpwZeLlYyj0us9BQpORwcAHcrSzdCTepVuyrGMFeNvWpEloaBGpE1D3uWlACffKLsMyWHzXrkCvaqEVkqBmpEDSwksJpAbfFiIDsbiIoCrr9e7daQir1qV1f3qr3PuWpEFoWBGlFDOdSsIVCrqgLmz1f2H3lEGfokm/VI9Vy1Xw6kIi61QO3mEFETMVAjamjo0xqS3a5bBxw7Bnh7A3feqXZrSGXdwrxxXc9Q6PXAW38cU7s5RNREDNSIqpVV6pCYU2I9PWrffqtc3nMP4OmpdmvIDDx5dWc42tthw9EM7DyVo3ZziKgJGKgRVTudXSzn8Hi6OCLQUwOLt2gR8N13wEMPqd0SMhPtAtwxZUCk3H/9t6PQi+41IjJrDNSIGljxaWdnB4snykTddBMQqfxhJjKsAHVxsseeM7n480iG2s0hogtwhBlYtO00Ptt0EplF5ega6oU547qhd6RPg8d+vzMRK2OTcexsobzeI8IbT43q0ujxRDY3P62oCNBoWM+TGhTk5YI7h0bh440JePP3o7i8SxAc7K3ghwmRlVK9R+2X/al4Zc0RuSLp14eGISbUE7d9uQNZRUp2+HNtP5mNcb3C8P09l2Dl/UMR6u2KaV/uwNn8MpO3nayL1eRQe/VVoEMHYPlytVtCZure4R3g7eqE4+lFWLU3Re3mEJE5B2pfbD6FqQMjMbl/JDoGe+LV63vA1dkBP+xOavD496b2wbTB7eQKJvEH9fWJPeUqpi3xWSZvO1kXqwjURG+aqESQlAQ4O6vdGjJTIki7f0QHuT9//XG5kIaIzJOqgVqFtgqHUvIxNDqgtkH2dvJ67Jm8Jj1HaaUOlboq+Lg1PMxTXl6OgoKCmq2wUBkyJapLV6XHyaxiyw/UFi4E8vKU2p7XXad2a8iMTR/SDmHeLkjJK8WXm0+p3RwiMsdALbekQv6BDPCov8Iu0EMj56s1xbx1RxDs5VIv2Ktr7ty58Pb2rtliYmJape1kXZJzS+QPB2dHe0T4usEi6XTAu+8q+48+ygS3dF4uTg6YNbqL3P/o73hkFHD6CJE5Un3o82J8vDEev+xPw2fT+skvnYY8++yzyM/Pr9ni4uJM3k6ynGHP9gHuljuxes0aID4e8PUFbr9d7daQBRDzfcVCrJIKHZPgEpkpVQM1Xzdn+Ufx3IUDojdN9Kqdz4J/EvDJxgQsvmugXCnaGI1GAy8vr5rNk4k/yVrnp73xRm2CW3d3tVtDFkCkofnfWGWUYfmeZDkVhYjMi6qBmhhmEsWCt9ZZCFBVpcfW+Gz0bdt4uo1PNyXgg7/isfDOgegZwbQcdPEsPlDbvx/YulVZQCDqehI1Ud82vrJnTSzKenlNHJPgEpkZ1Yc+ZwyLwve7kvDjnmTEZxTi+dWHUFKhxaR+SpLOx5ftkxm0DUQv2jt/HMcbN/ZEhK8rMgrL5FZcrlXxLMjSJWQqgVoHS82h1qsXsHMn8MEHQGio2q0hCyPmqmkc7bHjVA5+P5yudnOIyJwS3o7tFYac4gq5RDyzsBxdw7xkT5mhhI9YkVQ3S/y328+gQleF+5bE/ifb9mNXdTJ5+8nyiR6EhMxiyw7UhAEDlI2omcJ9XHHPZe3xwYZ4vLb2CEZ0Dmx03i8R2VigZlgmLraGLLt3cL3rW5653EStIlshfijkl1ZC/B6ICrDAuV3FxZyTRhdt5vAOMn9lYk6JnF7y6JX84UtkDlQf+iRSm6E3TfQqiGTLFiUxURnqvO8+QMvhf2o5d40jXrhOWVggykudrs4rSGTpcpYsQfzlV+Boz144NXkKSg8caPTY3B9+wOlbbsWxgYPkduaOO857vCkwUCObd7J6flp7Sxz2fOcdQCRxPn4ccDSLDnKyYNf2CMWlHQNkTsEXfz7MhQVk8QrWrkXGvNcR8MADiFq5Ai6dOyNxxt3QZmc3eHzJzl3wunYM2i78Bu2Wfg+nkFAk3jUDlenqzd1koEY2r3YhgYUNH4ovms8/V/afeUbt1pAVEPOB54zrBmcHe2w6nonfD59Vu0lEFyX7m4XwmTQJPhMnQBMdjZA5s2Hv4oK8FSsbPD78rTfhd/PNcOnaFZr27RH6yssiHQWKt22DWhiokc07WT30aXE9ah9+CJSUAH36AFdeqXZryEqIz8HM4e3l/pxf4riinsxOYWFhvdKQolRkQ/QVFSg7fBjuQ2rnutvZ28N98GCU7tvXpNeqKi2DXquFg7c31MJAjWyeRfaoiQUEIhWHMGuW6ApRu0VkRe4fGY1IP1ek5Zfh/b9OqN0conpEKci6pSFFqciGaHPzZGk9B3//erc7BPhDm1Wbv/V8Mt5+C45BQXAfMgRq4aQWsmnlWh2SckstLzXHF18oQ5/t2wMTJ6rdGrIyIjXHS+O6445vduGLzacwrncYuoWp16NAVJcoBRkeHl6vApExZC34HAVr16HtooWwN9JrNAV71MimJWaXQFelh4fGEUHVufvMnpjg/dFHyv5TT3ERARnFyC5BGNMjRH4+nv7xACp1VWo3iUgSpSDrloZsLFBz9PUBHBygO2fhgC4rG44BATif7C+/Qvbnn6PNF1/IBQhqYqBGNs0w7Nk+0L1eYmWzJtr577/A7NnAHXeo3RqyYnPGdYePmxMOpxZgwT8n1W4OUbPYOTvDpVs3FG/bXnObXiwM2L4drr17N/q47C++QNYnn6DN5wvg2qM71MZAjWyaxVYkCA4GXnxR9Pmr3RKyYqJCzP+qc6u99+cJWeaPyJL43z4decuXI2/VapQnJODs7DmoKi2Fz4Qb5P2ps2Yh4+13ao7P+vxzZL73PkJffRVO4eHQZmbKrUrMC1YJx0zIptX0qFlKRYLcXMDXV+1WkA25oU84ft6fio3HMuUQ6PKZQ+BgbyG9z2TzvMaMgTYnF5kfvA9dZhY0XbvKnjLD0GdlappYClpzfN73S6GvrETKI4/Uex6Rhy3woQehBgZqZNMMqTk6BFlAj5qoPCBqebZrB3z5JdC2rdotIhsgpgS8dkMPXD3/H8Qm5mHh1tO4c1iU2s0iajK/W2+RW0PaLl5U73r0hr9gbjj0STZejL12jprZ+/57ICEB2L8fuMBEWKLWFObjimdGd5H7b/5+rKaaBxEZHwM1sllZRRUoLNPKufnt/M08UNPpgFdfVfYff5xF2Mnkbh7YBkM6+KO0UofHftjPVaBEJsJAjWyWoTct0tdN5o0yaz/+CBw7psxPe+ABtVtDNsje3g5vTeoFLxdH7E/Kw4cb4tVuEpFNYKBGNqu2dJSZ905VVQGvvKLsiwmuXl5qt4hseAj0lRt6yP0P/45HbGKu2k0isnoM1Mhm1ZaOMvOFBMuXA4cOKQHaww+r3RqyceN6hWF87zCZCPexZftYC5TIyBiokc0yTIg2+x61hQuVyyeeYGoOMgsvje+OMG8XnMkuweyfD6vdHCKrxkCNbJbFJLv96Seltuejj6rdEiLJ29UJb0/uLRfiLN+TjJWxyWo3ichqMVAjm1RWqUNyboll9Kg5OQF33cW5aWRWBnfwxyNXdJT7z686xKoFREbCQI1skhiyqdIDni6OCPQw0zJMR44AFRVqt4KoUQ9d3hFDo5WUHfcviUVphU7tJhFZHQZqZOPz0zzMsxh7WRlw1VVAly5KwEZkhkQpqXen9JE1QY+nF+HFnw+p3SQiq8NAjWx8xaeZDnt+9hmQkqKUjWrfXu3WEDVKBGnvTe0NUf7zh93JWLozUe0mEVkVBmpkk8x6IUFREfDaa8r+Cy8AGjMdmiWqNqRDAJ64urPcf+GnQ9hzhvnViFoLAzWy6aFPs+xRe/ttICMD6NABuP12tVtD1CT3j+iA0d1DUKnTY+a3e3A2v0ztJhFZBQZqZKPF2A1VCcysR+3sWeDNN5X9uXOVFZ9EFkDM9RQlprqEeCKzsBz3frtHrq4moovDQI1sjvgjUlSulXNq2vq7wazMmQMUFwMDBwI33qh2a4iaxV3jiAXT+ss8a6Ie6HOrDsofRkTUcgzUyObEVw97tvFzg8bRwbxqeooFBILoVTPH1ahEF9DG3w0f3dxX/hBaGZuCD1i8neiiMFAjGy7GbmbDnvb2wM8/A3v3ApddpnZriFpsWMcAzBnfXe6/s/44KxcQXQQGamRzzD41R+/eareA6KJNu6Qt7r1MSS0za8UBbI3PUrtJRBaJgRrZHLPrURNzeN54A0hPV7slRK1q1jVdcG3PULkSVCwuOHaWZaaImouBGtlwj5qZBGpLlwKzZgG9egHl5Wq3hqjV2Nvb4e1JvdC/rS8Ky7SY9uUOJGYrNXaJqGkYqJFNEekCUvJKzacYu0hu+9RTyv6DDzK5LVkdFycHfDG9PzoHeyKjsBy3fLmdOdaImoGBGtmUU1nFcqRRpA/wd3dWuzlKrjSx0jMqCnjySbVbQ2QUPm7OWHzXQJkOJymnVPas5RRXqN0sIovAQI1sdH6au/rF2BMSgLfeUvbfeQdwcVG3PURGFOTlgm/vGoQQLxecyCjC9K92Ir+0Uu1mEZk9BmpkU8xqftoTTwAVFcCVVwLjx6vdGiKji/Rzw7czBsHP3RkHU/JxyxfbkVfCnjWi82GgRjYZqKk+P239euCnnwAHB+C995jclmxGdJAHvrt7kJx6cCilADd9zmFQovNhoEY2OfSpeo9a//7Aww8Djz0GxMSo2xYiE+sS4oWl91yCAA8NjqQV4ObPtyOriCueiRrCQI1shqg5eNJckt36+io9aSJ/GpEN6hjsKYO1IE8Njp4txOTPtiE5l6k7iM7FQI1sRnpBOYordHCwt0MbP5UCtdxcJcGtAYc8ycaHQZfdOxjhPq6yt3vCx1tlDxsR1WKgRjY3P62tnxucHe3VKbouFg2MHAmcPGn61ycyQ1EB7lhx35CaPGuiZ237yWy1m0VkNhiokc04qfZCgq++Av79F9i1S1lEQERSiLcLfrh3MAa285MVDG77aid+2peidrOIzAIDNbIZCWouJBB1PA0VCF5+GWjb1vRtIDJj3m5OWHTXQIzqFowKbRUeWboPb/x2FFVVdaYKENkgBmpkM1RLzSHmpM2cCeTlAX36KKs9iajBclMf39IPM4d3kNc/3piAexbvQVG5Vu2mEamGgRrZDNVScyxZAqxeDTg5AV9/DTg6mvb1iSyIWOzzzOgumD+ll5xL+ueRdEz8eCtOZymfXyJbw0CNbEJpRd1i7CYM1JKTlWLrwuzZQK9epnttIgt2Q58ILLvnEgR6anAsvRDXfbAZaw6kqt0sIpNjoEY24WSWMuzp6+Yky9eYTGEh0KYNMHAg8PTTpntdIivQp40vfnlwGAa085XDnw9+txf/t/ogyip1ajeNyGQYqJGNFWM38bBn167KKs9VqzjkSdTCFaHf330J7h+hzFv7dnuizLcWn6H8+CKydgzUyMaKsZtoIYEotm6g0QBhYaZ5XSIr5Ohgj6ev6YKFdw6UNULj0gow5v1/8fk/J6HjqlCycgzUyCaYtEetuBjo2xd45RVAxyEaotYyvFMg1j5yqbwUKTxeXXsEUz7bhlNcaEBWjIEa2ViPmgkCNbF44PBh4JNPlJQcRNRqgr1c8M0dAzB3Qg+4Oztg95lcjH7vHyz4JwGVuiq1m0fU6hiokdUTCTNre9SMPPS5eDHwzTeAvb2SlsPf37ivR2SD7OzscNPANvjt0cswuL0/yiqr8Nrao7j2/X+xg+WnyMowUCOrd7agDKWVOjjKYuxuxnuhPXuAe+5R9l94ARgxwnivRUSI9HPDkhmD8MaNPeVq7uPpRZiyYDse/2EfMgrL1G4eUatgoEa2U4zd3w1ODkb6J5+RAdxwA1BWBowerQRqRGR09vZ2mNw/EhueGI6bB7WBnR2wMjYFI97ciPnrj6OYVQ3IwjFQI6tn9IUEYsHAjTcCSUlAp07Ad9+x6DqRifm4OeO1G3pg1f1D0TvSByUVOrz31wkMf3MjFm8/w/lrZLEYqJHVM/pCAhGU3XYbEBAA/PQT4ONjnNchogsSQdqq+4fg41v6op2/G7KKyvHC6kO4/O2N+G5HolwtSmRJGKiR1TPJQoIZM4CTJ4EuXYz3GkTU5MUGY3qE4o/HhmPOuG4I8HBGUk4pnlt1EMPf/BsLt55mdQOyGAzUyOoZrUdNFFpPT6+97unZus9PRBdFFHWfPqQd/n36crxwXQyCPDVIyy/Diz8fxpB5G/DW78dwNp+LDsi8MVAjqyYmEosv5lavSiCGOMW8tKFDgczM1nteImp1rs4OuGtYFP55eiRevr47wn1ckVNcgQ//jsew1zfgoe/3Ys+ZXOj1rHJA5ofFB8mqGTKWi7IzYrJxq/jlF2DSJGURwbBhytw0IjJ7Lk4OmHZJW9w0IBJ/HknHV1tOY+epHPyyP1VuHYM8MKl/BG7oE4FAT43azSWSGKiRTQx7ttr8NBGkTZwIVFYCkycDX3whJsS0znMTkclqh17TPVRuh1Pz8c2W0/jlQCpOZBTJxLmv/3YMIzsH4vo+4bi8SxDcnPmnktTDf31k1RKqFxK0yvy0pUuV1Z2GIE1UHnDkR4jIknUL88abk3rhhbExWLM/Dcv3JGFvYh7+PJIhNxcne4zsHITRPUJxRZcguGv4mSfT4r84smonW6tHTQRlt96q7E+ZAnz7LYM0Iivi5eIkE+aKLT6jECtiU/DrgTQk5pRg3aGzctM42mNIB3+M6ByEEZ0D0dbfyCXpiBiokbVrtR61q64C2rcHrrsOeOcdJrQlsmLRQZ6YdU0XPD2qMw6nFmDtwTS5nc4uwd/HMuUmiDxtImgb3MEfA9r5yTJWRK2NgRpZdTH2U1mGHrUWBGq5uUryWjEHLSgI2L279joR2UQ+tu7h3nJ7alRnHEsvxMZjmdh4LAO7T+fKwO2braflJnQK9pAB28AoP/Rv54cwbxf5HEQXg4EaWa3U/FKUVVbBycEOkb6uzXvw778r89Feew246y7lNl9fo7STiMyfCLi6hHjJbebwDigsq8TWhGz8czxTrhwVCxFEUXixLdmRWLPavEeEN3qEV28R3gjxYvBGzcNAjax+2LOdv7tc5dUkeXnAE08AX32lXP/8c+COO0TlZyO2lIgsjaeLE0Z1C5GbkF1Ujl2nc7HrdI4M3OLSCpBdXFHdA1eba9HXzQkdgzwRHewh04F0CvaUlyIdCAM4aggDNbJazVpIoNUqqTZefBHIyFCGNx98EJg3j0EaEV2Qv4cG13QPkZsgSlQdSSvAoZR8HEjOx8GUfNnrlltSiZ0imDudU+/xnhpHRPq5oY2fGyL9XOVlRPV1kaBX5IAj22QWgdqibafx2aaTyCwqR9dQL1mbTRTWbYxYifP2+mNIzi1FlL87nhndBSO7BJm0zWRFpaM2bwbuvhs4elS53rmzErSJZLZERC0gAqs+bXzlZiCCt/iMIrmdyCjEiXRl/3R2MQrLtbIXTmwN8XZ1QrCXBsFeLgjydJH7oiSWuC4WMfhVJ/X2cXOCU1NHEGxEzpIlyPnyK2izsqDp0gUh//c8XHv2bPT4gt9+Q+Z776MyJQXObdsi6Mkn4DF8OGw2UBPZoF9ZcwSv3NAdfSJ98NWWU7jtyx3Y8OQIBHj8NzP0njM5eHjpXrka54quQfhpXyruWbwbax66FJ1DWGuRGirGfk6gJsrEFBXV1ub091eCNHE5ezZw772Ak5MKLSYiaw/eDIsT6irX6pCYXYKk3JLqy1KZFiQpp0RellTokF9aKTcxB+5CPF0c4evmLIdZfaovRf43DxdHeDgrl+K66MUTl3K/+jZXJweZO07j6AAHe8sfii1YuxYZ815HyOzZcO3VEzkLFyFxxt3osG4tHMV3/jlKYvci5YknEfT4Y/AYMQL5a9Yg6cGHELXiR7h06qTKOdjpVS5uNv6jLegV4Y2XxnevWak3eN5fspDu/SOi/3P8A9/ForRCh69uH1Bz2/UfbUFMmBdeu6HHBV8vOTkZkZGRSEpKQkRERKudh/igZWYXwuFsWqPHVHl5Qe9T/euqshIOKcmNHqv39ESVf3VpIq0WDolnau6zO+ctqxLHBgVXX6mC48mEOk90zrEenqgKDa25z/H4scbb4O4BXZ3/R45Hj9Q+3znPq3d3h65tu/rHVukabq+rG3TtO9QeeyQOdtrKhtugcYG2U+d6z2tXXqeIcp2n1js7QRuj/DsSnpj9PUryCvHWxO7orC8GTpxQVm5u2gQMHgysXFn74B9/VFJweNf/AiUiUpP4E11QpkVGQRnSC8qRLi4Ly5Bh2C8ok3VLxZCqCORak1iIJQI2Q+CmcbKHS53r4lIUvhc9eMpmV7MvhmzvHBbVqu1JbsHf71OTp8C1e3eE/O8FeV1fVYX4ESPhe+utCLjn7v++xmOPQV9SisjPPq19jilT4NKlK0LnzIbN9ahVaKvk+P39I2r/aNvb22FodABiz+Q1+Ji9Z3Jx16Xt6912WadA/HH4bIPHl5eXy82gsLAQxiBy7Tw75zv8/tWDjR7zyaAb8fqI2+V+m9w0/LPgv/9IDL7pex1mXzVT7gcW5WLXR9MaPXZZj6swa8wjct+9vASH353c6LG/dLkUD42fJfftq3Q4+eb4Ro/9s8MAzLjxxZrrx966ARpdw18EW9r2xC1TX6u5vve9m+Bb1vD/672hnXHDbW/XXN/68e0IK8xq8NijAW1xzV0f1Vz/6/OZ6JDTcIB7xicEw+/9ovZcl81Fj/QEYFEDB//9N1BWBri4KNdFgXUiIjMjFhiIYU+xdQw+/6iRrkovg7XckgrkVgdvYj+/pBJF5VoUl2vlpWET1wvLtCiu0KJIXJbrUKGrqnm+Sp0elTpxbPPb3beNT6sHanX/jhcU1A4RazQauZ1LX1GBssOH6wVkdvb2cB88GKX79qEhpfv2w//26fVu8xg6DIV//QW1qBqoiX9A4h/WuUOcgR6amhV75xLz2AI86icVDPRwRlYj/5Lmzp2LOXPmwNhEB7H4FVHqWP9c9HV6jvWOjjKzteDk5IBi58ZTRuicnGuPdbRHocat0WO1zrXHanT2yHepP9RXtz+rXONac6x9lR65rud+8GsbXOriVnOskOvmBSedtsE2FLt41D/W3RtaB8cG25Dv5lXv2Bx3Hzjqa78c9HXakOvhU+/YLA9fuFXW6VGrI9vDt96x2R5+yNEWK0koAwOBjh2BmBjgssuAQYNqgzQiIisghioN89UQ2LLnEH+TxQhReWUVyrQ6meKovPpSzLEr19a/rNRVoVJbJYM6EeSJ61qdHiHexvt+jRHf43W8+OKLmC2mrZxDm5sH6HRwOGeI0yHAH+WnTjX43GIem4NhNKvO8eJ2m52jZmzPPvssHn/88ZrrKSkp/3mTW4OYMLpmwX2A2Bpxf/VW48M7Gj1WZO6qzt6lePfmRo+9pXqr8ebERo8V/Ub1+o5ea3jiqjC2eqvxSuP/UK8WPW71jk1q9Nig/xx7otFjg/9z7OhGjw1txrFERNRwsCeK0LuZcZGFuLg4hIeH11xvqDfNmqgaqInJjuIfxbm9YaLXTPSqNUTcnlVUcc7xFQ0uPGioS7RudykRERFZFk9PT3h5eV3wOEdfH1nuT5edXe92XVY2HAMCGn5MQAB02VlNPt4UVF3DKyYhitUvW+Nr/6eIxQRb47PRt23D6Tn6tPWtd7yw+UQm+rZl1ngiIiJS2Dk7w6VbNxRv2159i7KYoHj7drj27o2GuPbuVe94oXjr1kaPNwXVk63MGBaF73cl4cc9yYjPKMTzqw+hpEKLSf0i5f2PL9uH13+rzm8F4M6h7bDpeCY+/+ekzD8zf/1xmUhw+uDaFYdERERE/rdPR97y5chbtRrlCQk4O3sOqkpL4TPhBnl/6qxZyHj7nZrj/abdhqLNm5H91dcoP3kSmR98iNLDh+F7S+PTj6x+jtrYXmFyabEIuDILy9E1zAsL7xwoy2kIKXml9cpq9Gvrh/em9sHbfxzDm78fQ7sANyyY1p851IiIiKgerzFjoM3JReYH70OXmQVN165o8/mCmqHMytQ0sRS05ni3vn0Q/tabyHz3PWTOnw/ndm0R+eEHquVQM4s8aqZmrDxqREREZDzJNvr3W/WhTyIiIiJqGAM1IiIiIjPFQI2IiIjITDFQIyIiIjJTDNSIiIiIzBQDNSIiIiIzxUCNiIiIyEwxUCMiIiIyUwzUiIiIiMyU6iWkTK2qqkpepqWlqd0UIiIiaqK06r/bhr/jtsLmArX09HR5OXDgQLWbQkRERC34O96mTRvYCpur9anVarF3714EBwejuLgYMTExiIuLg6en9Rd1Lyws5PlaMZ6vdeP5Wjee74VVVVXJIK1Pnz5wdLSdfiabC9TqKigogLe3N/Lz8+Hl5QVrx/O1bjxf68bztW48X2oMFxMQERERmSkGakRERERmyqYDNY1GgxdffFFe2gKer3Xj+Vo3nq914/lSY2x6jhoRERGRObPpHjUiIiIic8ZAjYiIiMhMMVAjIiIiMlMM1IiIiIjMlNUHah999BHatWsHFxcXDBo0CDt37jzv8cuXL0eXLl3k8T169MDatWthref7zTffwM7Ort4mHmcp/vnnH4wdOxZhYWGy7atXr77gYzZu3Ii+ffvKlUbR0dHy/4E1nqs4z3PfW7GdPXsWlmDu3LkYMGCAzFgeFBSE66+/HseOHbvg4yz189uS87Xkz+8nn3yCnj17ykSnYhs8eDDWrVtnle9tS87Xkt/bc82bN0+2/9FHH7Xa99fYrDpQW7ZsGR5//HG5BDg2Nha9evXCqFGjkJGR0eDxW7duxU033YS77rpLlpkSX5ZiO3ToEKzxfAXxpSEK3Rq2M2fOwFKIEmDiHEVw2hSnTp3Ctddei5EjR2Lfvn3yi2PGjBn4/fffYW3naiD+2Nd9f0UQYAk2bdqEBx54ANu3b8f69etRWVmJq6++Wv5/aIwlf35bcr6W/PmNiIiQf8D37NmD3bt34/LLL8f48eNx+PBhq3tvW3K+lvze1rVr1y589tlnMkg9H0t/f41Ob8UGDhyof+CBB2qu63Q6fVhYmH7u3LkNHj958mT9tddeW++2QYMG6e+99169NZ7v119/rff29tZbA/FPedWqVec95umnn9Z369at3m1TpkzRjxo1Sm9t5/r333/L43Jzc/XWICMjQ57Ppk2bGj3G0j+/zT1fa/r8Cr6+vvovvvjC6t/bppyvNby3hYWF+o4dO+rXr1+vHz58uP6RRx5p9FhrfH9bk9X2qFVUVMhfL1deeWXNbfb29vL6tm3bGnyMuL3u8YLokWrseEs/X6GoqAht27ZFZGTkBX/hWTpLfn9bqnfv3ggNDcVVV12FLVu2wFKJeoCCn5+fTby/TTlfa/n86nQ6LF26VPYeiiFBa39vm3K+1vDeih5iMYJx7vtm7e+vMVhtoJaVlSU/EMHBwfVuF9cbm6cjbm/O8ZZ+vp07d8ZXX32Fn376Cd9++y2qqqowZMgQJCcnwxo19v6K4sClpaWwJiI4+/TTT7FixQq5iS/7ESNGyCFxSyP+XYph6qFDh6J79+6NHmfJn9+WnK+lf34PHjwIDw8POV905syZWLVqFWJiYqz2vW3O+Vr6eysCUfFdI+ZeNoU1vL/G5GjUZyezJn7N1f1FJ74IunbtKucUvPzyy6q2jS6O+KIXW933NiEhAfPnz8fixYthab/MxVyVzZs3wxY09Xwt/fMr/n2KuaKi9/DHH3/E9OnT5Vy9xoIXS9ec87Xk9zYpKQmPPPKInGtpqQsgzI3VBmoBAQFwcHBAenp6vdvF9ZCQkAYfI25vzvGWfr7ncnJyQp8+fRAfHw9r1Nj7Kybturq6wtoNHDjQ4oKdBx98EGvWrJGrXsWE7POx5M9vS87X0j+/zs7OcuW10K9fPznx/L333pPBiDW+t805X0t+b8UUHLGATayuNxCjPeLf9Icffojy8nL5t8ra3l9jstqhT/GhEB+Gv/76q+Y20X0srjc2L0DcXvd4QfwqON88Aks+33OJD5PonhfDZtbIkt/f1iB+zVvKeyvWTIigRQwPbdiwAVFRUVb9/rbkfK3t8yu+r8QfcWt7b1tyvpb83l5xxRWyreL7xrD1798ft9xyi9w/N0iz1ve3Vemt2NKlS/UajUb/zTff6OPi4vT33HOP3sfHR3/27Fl5/7Rp0/TPPPNMzfFbtmzROzo66t966y39kSNH9C+++KLeyclJf/DgQb01nu+cOXP0v//+uz4hIUG/Z88e/dSpU/UuLi76w4cP6y1lVdHevXvlJv4pv/POO3L/zJkz8n5xruKcDU6ePKl3c3PTP/XUU/L9/eijj/QODg763377TW9t5zp//nz96tWr9SdOnJD/fsWKK3t7e/2ff/6ptwT33XefXPW2ceNGfVpaWs1WUlJSc4w1fX5bcr6W/PkV5yFWtJ46dUp/4MABed3Ozk7/xx9/WN1725LzteT3tiHnrvq0tvfX2Kw6UBM++OADfZs2bfTOzs4yfcX27dvr/eOZPn16veN/+OEHfadOneTxIpXDr7/+qrfW83300Udrjg0ODtaPGTNGHxsbq7cUhhQU526GcxSX4pzPfUzv3r3lObdv314ug7fGc3399df1HTp0kF/ufn5++hEjRug3bNigtxQNnavY6r5f1vT5bcn5WvLn984779S3bdtWtj0wMFB/xRVX1AQt1vbetuR8Lfm9bUqgZm3vr7HZif+0bh8dEREREbUGq52jRkRERGTpGKgRERERmSkGakRERERmioEaERERkZlioEZERERkphioEREREZkpBmpEREREZoqBGhEREZGZYqBGRGarXbt2ePfdd436Gt988w3s7Ozk9uijjzb5cbNnz655nLHbSES2i4EaEdk8Ly8vpKWl4eWXX27yY5588kn5mIiICKO2jYhsm6PaDSAiUpvoFQsJCWnWYzw8POTm4OBgtHYREbFHjYha3YIFCxAWFoaqqqp6t48fPx533nmn3E9ISJDXg4ODZcAzYMAA/Pnnn40+5+nTp2VAtW/fvprb8vLy5G0bN26sue3QoUMYPXq0fE7x3NOmTUNWVlaz2n/06FG4ubnhu+++q7nthx9+gKurK+Li4pr1XEREF4OBGhG1ukmTJiE7Oxt///13zW05OTn47bffcMstt8jrRUVFGDNmDP766y/s3bsX11xzDcaOHYvExMQWv64I3C6//HL06dMHu3fvlq+Xnp6OyZMnN+t5unTpgrfeegv333+/bE9ycjJmzpyJ119/HTExMS1uHxFRc3Hok4hana+vr+zVEj1SV1xxhbztxx9/REBAAEaOHCmv9+rVS24GYn7YqlWr8PPPP+PBBx9s0et++OGHMkh77bXXam776quvEBkZiePHj6NTp05Nfi4RpK1duxa33nornJ2dZY/fQw891KJ2ERG1FHvUiMgoRM/ZihUrUF5eLq8vWbIEU6dOhb29fU2PmpiQ37VrV/j4+MihyiNHjlxUj9r+/ftlL55h/pjYRO+YYai1uUSQd+DAAcTGxtasDiUiMiX2qBGRUYhhTL1ej19//VX2Rv3777+YP39+zf0iSFu/fr0cYoyOjpbzv2688UZUVFQ0+HyGAE88p0FlZWW9Y0TwJ15XDFGeKzQ0tEWBX3FxsXxtscKzJc9BRHQxGKgRkVG4uLhgwoQJsictPj4enTt3Rt++fWvu37JlC26//XbccMMNNUGWWDDQmMDAQHkpAiYxvCnUXVggiOcXvXgi/5qj48V9vYk5daJ9zz//vHxN0UMoetZEQElEZCoc+iQioxHBjehRE0OIhkUEBh07dsTKlStlsCV6rm6++eb/rBKtSwRIl1xyCebNmyeHSDdt2oT/+7//q3fMAw88IAOsm266Cbt27ZLDnb///jvuuOMO6HS6ZrVdLB4Qc9vEa7zzzjvy8aIXkIjIlBioEZHRiBWYfn5+OHbsmAzE6hLBj1h0MGTIEDlcOWrUqHo9bg0RAZ9Wq0W/fv1kFYFXXnml3v0iJYjoqRNB1dVXX40ePXrI48QcOMPQaVMsWrRILiRYvHix7Jlzd3fHt99+i88//xzr1q1r5v8FIqKWs9PXnfBBRGRjxCIBEcyJ1B4tIYZZxeObU36KiKip2KNGRDYvPz9frhCdNWtWkx8jUoCIx1zMKlUiogthjxoR2bTCwkKZFFcQQ6Qi11tTiLlwYjMsdPD29jZqO4nINjFQIyIiIjJTHPokIiIiMlMM1IiIiIjMFAM1IiIiIjPFQI2IiIjITDFQIyIiIjJTDNSIiIiIzBQDNSIiIiIzxUCNiIiICObp/wFNejrW8pZkdwAAAABJRU5ErkJggg==", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "stochast = Stochast()\n", "stochast.distribution = DistributionType.weibull\n", "stochast.scale = 1.0\n", "stochast.shift = 1.0\n", "stochast.shape = 2.0\n", "\n", "stochast.print()\n", "stochast.plot()" ] }, { "cell_type": "markdown", "id": "4dae805e", "metadata": {}, "source": [ "### Conditional Weibull distribution" ] }, { "cell_type": "code", "execution_count": 64, "id": "424c87d8", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Variable:\n", " distribution = conditional_weibull\n", "Definition:\n", " scale = 1.0\n", " shift = 5.0\n", " shape = 2.0\n", " shape_b = 1.0\n", "Derived values:\n", " mean = 5.0558\n", " deviation = 0.1251\n", " variation = 0.0247\n" ] }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "stochast = Stochast()\n", "stochast.distribution = DistributionType.conditional_weibull\n", "stochast.scale = 1.0\n", "stochast.shift = 5.0\n", "stochast.shape = 2.0\n", "stochast.shape_b = 1.0\n", "\n", "stochast.print()\n", "stochast.plot()" ] }, { "cell_type": "markdown", "id": "16dc435f", "metadata": {}, "source": [ "### Frechet distribution" ] }, { "cell_type": "code", "execution_count": 65, "id": "3adc9e2c", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Variable:\n", " distribution = frechet\n", "Definition:\n", " scale = 0.5\n", " shift = 1.0\n", " shape = 2.0\n", "Derived values:\n", " mean = 1.8862\n", " deviation = inf\n", " variation = inf\n" ] }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAnMAAAGwCAYAAADCJOOJAAAAOnRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjEwLjAsIGh0dHBzOi8vbWF0cGxvdGxpYi5vcmcvlHJYcgAAAAlwSFlzAAAPYQAAD2EBqD+naQAAcQBJREFUeJzt3Qd4FOX6NvA7vfdOEnoNJXREOigqiIIK6gE7dj167Bw9RxCPYINP0b9SFMEOUlRABUWR3nvoEJKQkN7LJpvsd73vZDeFBJKwm9nZvX/XNc7sZHbyZl2yT97yPA4Gg8EAIiIiItIkR7UbQERERERNx2COiIiISMMYzBERERFpGIM5IiIiIg1jMEdERESkYQzmiIiIiDSMwRwRERGRhjmr3QBrpNfrsX//foSFhcHRkfEuERGRFlRUVCA1NRW9evWCs7P9hDj285M2ggjk+vfvr3YziIiIqAl27dqFfv36wV4wmKuD6JEzvhkiIiLUbg4RERE1QEpKiuyMMX6O2wsGc3UwDq2KQC4qKkrt5hAREVEjONrZFCn7+mmJiIiIbAyDOSIiIrJLRbt3I/Gxx3FqyFAc69wF+b//fsXnFO7chbO33Ybj3Xvg9OgbkLNyFdTGYI6IiIjsUkVxMdw6d0LYf//ToOtLk5KQ+Nhj8Oo/AG1Wr0Lgvfci5T//QcHmLVAT58wRERGRXfIeOlRuwoUGXJ/z3XdwjYpE2Csvy8du7dqheN9eZC1ZAu8hg6EW9swRERGRTcnPz0deXp5p0+l0Zrlv0YED8Bw4sMY5r0GDUXzgANTEYI6IiIhsSkxMDPz8/EzbrFmzzHLf8vQMOAcF1zjnHByEioICVJSUQC0cZiUiIiKbEhcXh8jISNNjNzc32DIGc0RERGRTfHx84Ovra/b7OoUEQ5+ZUeOcPiMTjt7ecHR3h1o4zEpERETUAJ49e6Jo+44a5wq3bYNHz55QE4M5IiIisksVhYUoOXZMbsbUI+K4LDlZPk57fw6SX1ZWrgr+d90lr0l9913ozp5F1jffIO/XXxF4331QE4dZiYiIyC4VHzmKhGqBWNrst+Xeb/x4tJg9C/r0dJQlp5i+7hoVhehPP0Xq7NnIXvolnMPDETFzpqppSQQHg8FgULUFVigpKQnR0dFITExkbVYiIiKNSLLTz28Os5LdyispQ1ZhqdrNICKyD6LviP1HFsFhVrI7+vIKvPPbCXy25RzKKwy4PiYMs2/rjiBv2166TkTUJAUFQHY2kJenbPn5Vcdi++c/AcfKvqEPPgBEfVPxnLq2jAzAz0/tn8jmMJgju/O/dceweGu86fGGuFQkZRdjxeMD4enKfxJEZANED5hIYpuTo2wiAOvfv+rr338PHDpUMygzBmoi6Dp6FHBwUK69/35gxYr6v9dDD4lcIMqxuOeaNfVfK+7NYM7s+MlFdmXXuSxTIPfBXT3RMcwH93y2E8dS8jBzzTHMuq272k0kIqoiAjHRmyV6xsSxcS82UaLqP9UKxD/1lNIrZryutNo0EicnoKysKkBbtgxYubL+71tYCHh7K8ciX5uLi7I3biJ4Mx5XVFQ97957AVHuSjxXbOI647HYwsPN/hIRgzmyM/M2npL7O/tG49aeSnbweXf3xt0Ld+C73Qm4u380ekT5q9xKIrJpu3cD588DmZmXbuXlwLp1VddOmAD89Vfd9xEB2muvVQVoKSnAiRM1rxHDn/7+ylZcDHh6KufHjAGio2sGZdUDteoVExYuBD7/vGE/27BhykbNisEc2Y0TF/Ox+VQGHB2Ap0a2N50f2C4IE3pFYtX+C5i74SQWP1BtKIKIqC6i18vVterxjz8Cx48DaWnKlpqq9KiJAE0EVOfOVV370kuXD9DEEKkxQAsOVnq0AgKUgMy4N256vdJrJojATsxfM35NXCuea5zPVntotKFEm8iqMZgjuyGCNUEseIgOrPzrtNIzozrgxwMX8OeJdMQl5yGmhfnLwBCRlRNzzKqXZPruO1Hks2aAZjwW14nHRmLi/59/1n1fEUyJoUhjUCWqBYghz6CgSzcRvIlrjQGUmNtWVzBWl169mvyjk7YxmCO7INIprj2sZPQ2Dq9W1zrYCzd1j8DaQyn4aud5vDWBc+eIbNJvvwEi278YkhRZ/qtvHh7AxYs1hxc3bqx/Ir8YEjUGXaNHAy1bAqGhVZsIzMQmgjRjT5swd27D29vQQI7sGoM5sgtHk/OQmFUMDxcnjOgUWuc1k/u3lMHczweS8Z+xMfBw5dACkSaIIcwzZ4DERCAhoWoTAZoYhqw+j+ydd+oP0MRKTtFjZhy2HDcO6Ny5ZoAWFlZ1XD3QeuUVC/+QRPVjMEd2QcyVEwa1D643SLumbRCiAz1k0PfLkRTc1tt+socTWSUx3Ch60ERgVj1QEyk0vvii5vyv+oY4heoB2ogRSm9ZixbKFhFRdSw252ofi88+a8Efjsh8GMyRXdh2xhjMBdV7jaOjAyb1icb7G05i+Z4kBnNEzUH0hometQsXgJtuqpniQqTPEOk36jJ/ftWKyy5dlPlrYnWmGOoUe7GJck4iQKs+gV8sEiCyMQzmyObp9OXYHZ9l6pm7nPG9ImUwt/NcJjILdKwKQWROIuXGtm3A2bNVW3q68jUxp6yoqGoBgughE4GcCMREUFY9UBP76rnNPv5YnZ+HyEowmCObd+RCHkrKKhDk5YoOoZVJMOshVrl2i/SVzxGVIe7q37LZ2kmkaSKH2enTwMmTyibmqYnHYn6aMYWHWJm5dOmlzxULBNq0URLdimFP4b//VRLiiuCt+tAnEV2C/0LI5h1MzJH7Xi394VB9RVk9buoWIYO5X45cZDBHVJuYr1Y9d9ns2cCnnypz2eoqoi6GUDt1Uo5vvFFJWtuuHdC2rbKJIK6u8k6tW1v4ByGyHQzmyOYdqAzmYhtY2eHGbuF497cTcp5dbnEZ/DwqJ04T2RMx5ClSeBw5otTpNO5F0CaGR0UQJoihUFHNQBBBmQjcxNaxo7KvXr7p7ruVjYjMisEc2byDSUow17Nlw4K5diHeaBfihTPphdh2OkPmnyOyWaI3TawYDQysmq8m0neIVBt19bQJYgjVGMxNmQKMHKkEbiEhNfOpEVGzYDBHNi23qAznM4vkcY/IhtdcHdYxFGfSz2HTyXQGc2Q7xKIBMY9t//6q7cABpaLBhg3Addcp14kFByKQEyk8unVTtq5dq/aiTJSRGDIVGxGphsEc2bSTafly38LPHX6eDR8uHdYpBJ9vVYI5UT2iIXPtiKxO9RJSq1cD99yjVC6oTVwTH1/1WCTLFak+RGJcIrJ6DObIpp1MVYK5juE+jXregDaBcHN2REpuCU6nFaBDWOOeT9TsRJC2Zw+wcyewa5eyf/114OGHla+LVaHiGjGU2qOHUsdTbKJOaPfuysIEIx8fZSMiTWAwRzbt5MXKYK6RwZi7ixMGtA3C3yfTZe8cgzmySmKu21tvAZs3A4cP18y9JoiAzhjMiQDu0CElwS5TfRDZFP6LJpt2MrWgScGcMKxjiCmYmzqkrQVaR9RAYv6amOsmgjYxX23CBOW8yN/20UdV14m5bgMGVG29e1d9TZSzEj1wRGRzGMyRXQyzdmpSMBeMmaJz41wWSsrKZW8dUbMRKUB+/x344w8l8e7Fi8r5YcOqgjmRbPfNN5U0IIMGKaWriMjuMJgjm5VRoENmYanMlND+CpUf6ktREuztJu8jEg+LYVeiZumF699fmf9WneiF69dPSQNS3auvNmvziMj6MJgjm++VaxnoCQ/XxveqiRWs17QNxJpDKdhxNovBHJlXeTmwezewdq2SjHflSuW8+OvDWBxeBHWjRinbNddU5YEjIqqGwRzZrDNpyny5K9VjvRwRwIlgbue5THEnM7aO7FJODvDbb0oA98svQEZGzbJXxkS8H3yg1DCtq8wVEVEtDObIZhmTBbcK8mryPa5pEyj3+xKyodOXw82Z8+aoiURVhX//W+mRM/L1BW64ARg7Vpn/ZsS6pETUCAzmyGadzzIGc9XyZzWSmGsX5OUq594dSspFv9ZKcEd02TlvcXHAihXAHXcAMTHK+Q4dlEBOpAYRwZvYxKIFscqUiEirwdzOs5lY8PdZHL6Qi7R8Hebf0wc3dK1WlLmW7WcycffCHZec3/XqKIT6VM0lWbo9HvM3nUV6gQ5dInwx45au6Bnd8FJOZBsSKnvmxJy5phLz5ga0DcS6wxfl+5XBHNUbwInSWCKAE5uoXSqUliqrTQXRA1e9QD0RkS0Ec0Vl5TLYmtg3Go99tbfBz9v4/DB4u1c1PdjLzXT888FkvLnmGN6c0A29ov1lSaZ7P9uJjS8MlysTyT6IElwJWVc/zCpc0zZIBnNiEcRTtRYSkp3LzwfmzAG+/ho4darmytPRo5XVp0aiwgIDOSKytWBuRKdQuTVWkLcb/DzqHppYtOUc7uofjUl9o+Xj/43vjo3H07BsTyKeGN7+qttM2iB6ZYvLyuHoAET6e1zVvQa0UeYy7T2fjbLyCrg4Vda6JPskettEsCa4uQEffghkZQEeHsCYMcDttytDqGI+HBFRM9DknLkxH2xGaXmFTAT77HUd0Ldy6KtUX4EjF3LxxPB2pmsdHR0wqH0w9p3Pqfd+Op1Obkb54q9tsokh1gg/D7g6X13wJVbDBni6ILuoTE4J6N0ywEytJE0FcD/9BHz+udIDd/KkkkJEBHUzZyp1TMePZz1TIlKFpoK5UF83/G9CN/SI9EdpeTm+25WIuxbswOonB6FbpB+yi0pRXmG4ZDg1xNsNZ9IL673vrFmzMGPGjGb4Caj5V7I2fb5c9T8I+rQKwO/H0rDvfDaDOXsiFjJ89pmSJqR6GpEDB5Qi9cITT6jWPCIiQVPjRSIj/+QBrdA9yg99WgXi3Ymx6N0qAJ9tOXdV9502bRpyc3NNW5z4BU42sZL1ahY/VCfeZ8YUJWQH/v5bWWnatasyJ04EchERSmoRsbjBGMgREVkBTfXM1UWsUt0dnyWPAzxd4eToIMsv1Z4/JXrn6uPm5iY3o7y8PAu2mJpDQqbSE9vSDD1zgrE3TsybE4srxCpXssEVqcb/r+J42zalCsPNNwNTpwI33gg4a/5XJhHZIE31zNUlLjkPoT5KICbmRonh1m2nq4ZDKioM2HY6E71bMTWJPUnMLjZrz1xslL/8QyE1T4fk3BKz3JOsgAja/vxTKVz/0ktV54cOBebNAxITgdWrlYCOgRwRWSlVfzsV6vSIr+xBERKzinA0ORf+nq5yBeLbvx5Ham4J5tzZU35dDKdGB3igY5gPdPoKfLc7AdvOZODLhwaY7jF1cBs8v/wgukf5o2e0Hz7bEo+iUj0m9lFWt5J9uFgZcLW4ypWsRqK2a0yEr1wAIebNXe0KWVKZWPD05ZdK2awjR5Rz/v7KYgZR/1T00D31lNqtJCKy/mBOZNSvngT4zbXH5P723lF4f1Is0vJ0uJCj9LAIIi3E/9Ydkx/U4sO1c7gPvpo6ANe2CzZdMy62BbIKSzF3w0mk5+vQpYUvljzYHyGVvXdk+8QimIt5SjAX4We+wuRiEYQI5sRQq3ifkQaJKRTz5wNz5wIpKco5Ly/gvvuU4I2F7IlIg1QN5ga2C0L87LH1fl0EdNU9Nqyd3K7kvmtby43skwjiRUAnhkWrVwa5Wr1a+uOLbcB+LoLQLrFqXSxoECIjgX/9C3joIaVXjohIozgJhGxOSq7Smxvm4yYDOnP2zAlHk/NQUlYOdxcns92bLET0vpWUVFVe+Oc/gfXrgeeeAyZPrkr+S0SkYZpfAEFUW0rlfLlwMw6xCmKenFhso68wyCkCZMXS0oDnnwfatlV634xatQIOHQIeeICBHBHZDAZzZHOSK+dZRph5kYJIR2JMUcJ8c1YqMxN45RWlJ04Mp4peOZEjrrhq7q0p/QgRkY1gMEe2u5LVzD1z1YdaxSIIsiIiWJs1Swni3n4bKCpSitz/+iuwebNSN5WIyEZxzhzZ8DCr+T/AjfkKxSIIJg+2IgsXKtUZhJ49gTfeUHLD8f8PEdkB9syRzUmuXABhiZ65ri384CyrjJQyebDaqldqeeQRYMgQJXfc3r3AuHEM5IjIbjCYI5sdZjX3nDlBrGDtHOEjjw8m5pj9/tQACQnA7bcD114L6PXKOZEfTtRTnTIFcOSvNSKyL/ytRzZFX16BVAskDK5d2ktgMNfMSkuB2bOBLl2AlSuB48eBHVVJx4mI7BWDObIp6QU6VBgg88sFe7tZNphLYjDXbDZuBGJjgWnTlMUNYkh1/35g8GC1W0ZEpDoGc2Rz1R+EEG/zJgyuLjZaCeYOJ+XKShNkQYWFwL33AqNGKT1xoaHAkiXApk1A9+5qt46IyCowmCObIur5Cpasxds+1Buerk4oLC3HmfQCi30fgpJS5OxZZTHDk08CJ04owR0XNxARmTA1CdncMKsgKjVYiujx6xbph13nsnAgMQcdw5QFEWQmqamAtzfg5aUsZli8GMjKAgYMULtlRERWiT1zZJvDrBYM5oSelUOthzhvzryWLQNiYoDXXqs616EDAzkiostgMEc2JS2/pFmCuaoVrazRahb5+cB99wF33qn0womqDTolMCciostjMEc22TNnyWFWITbaT+6PpeShpKzcot/L5on0IqJqw9KlyrDqf/4DbN8OuFn2/yERka1gMEc2pbmGWSP9PRDk5Qp9hUEGdNQE5eXAzJlKehGxyKFVK2WVqijF5eKiduuIiDSDwRzZlLRmCuZETVZjihImD26ixETg3XeVoO7uu4EDB5g3joioCbialWyGKHxfNcxqmeoPtefNbTyehoNJnDfXJK1bK0OrBQVKGS4iImoSBnNkM/J1euj0Fc3SMyf0qJw3x565BjIYgA8+UJL9iiTAwvjxareKiEjzGMyRzSUM9nF3hruLk8W/n3FF69mMQuQWl8HPg/O8LlvJ4cEHldQjISFAXBwQHKx2q4iIbALnzJHNaK7FD0aBXq5oGehpKu1F9UhKAoYOVQI5Z2dltWpQkNqtIiIyyfr6a5weOQrHe8Ti3KQ7UXzoEC4na8kSnLnxJhyP7YlTw0cgddYsVKiYTonBHNlc9QdRl7W59IiqHGpl8uC67d4N9O8P7Nun9MT9+Sfw9NMsx0VEViNv3TqkzX4bwU8+iTYrV8C9UyckTH0Y+szMOq/P/XkN0t6fI69vu3YtIt58E3nrfkH6nLlQC4M5shnN3TNXvRIE583VQfTEiR65lBSga1dg1y6uViUiq5P5xRL4T5wI/9tvg1v79gifMR2O7u7IWbGyzuuL9++HR+/e8Bt3M1yjIuE9eBB8x45F8eHDUAuDObIZmZU9c8HN2DNnTE8iarRSLT/+CJSUAGPGANu2AW3aqN0iIrIT+fn5yMvLM226eoZADaWlKDl6FF7XDjSdc3B0hNfAgSgW6ZLq4NGrl3yOcSi2NDERBX//DW/xx6tKuACCbEZWYanci2S+zaVrC184Oij57S7mliDcz/IpUTRj0SJliPWppwAnyy9IISIyihE1nqt5/fXXMX36dNSmz86RuS6das3jdQoOgu7cOdRF9MiVZ2cjfvIUZZW+Xg//u+5E8GOPQi3smSObkVGgBHOB3s0XzHm6OqNjmI88tvt5c+Iv308/BSqU9DDw8ACeeYaBHBE1u7i4OOTm5pq2adOmme3ehTt3IWPBAoT/9z9os2IFIud9iIJNfyP9//4PamEwRzYjq1DX7D1z1VOUHLLnYC4/Hxg7Fnj8ceDf/1a7NURk53x8fODr62va3Oqp9ewc4C//4CyvtdihPCMTzvWkT0r/8EP43XILAiZOhHunjvC9/nqE/utZZC5YCIPxj9lmxmCObG6YNdCreQu0G5MHH7LX9CTil+CIEcAffwBeXlUJgYmIrJyDqyvcu3ZF4fYdpnMiICvcsQMePXvW+RxDcTEcxPya6hwrRyDEsKsKOGeObEamKZhTp2dOrGgVJcVE3Va7kZ4OXHcdICYCi79if/kF6NtX7VYRETVY0P33IfmVaXDv1g0ePboja8lSVBQXw/+2CfLryS+/DOfQMIQ+/5x87D1iBLK++AJuXbrAIzYWpefPy9467xHD4aDStBIGc2QTSvUVyC/RqzLM2incB67Ojsgr0SM+swhtgr1gF1JTlV64o0eB8HBg40agSxe1W0VE1Ci+Y8ZAn5WN9Hkfojw9QwZpLRcuMA2zliWniCWupuuDH39M5spM/+BD6FNT4RQYCJ8RwxHy7LNQC4M5sgnZRUqvnJOjQ7OX1XJxcpSrWvcn5Mh5c3YRzOn1wPXXK4FcixZKINepk9qtIiJqksApk+VWl1ZfLq3x2MHZGSFPPSk3a8E5c2QTMitXsgZ4usCx9lyGZh1qtZN5c6Is12uvKbnjNm1iIEdEpCIGc2Rjix+ad4jVrst6TZok1v8D7dur3RIiIrvGYI5sQmZlWhL1gjmlZ+5oci705eosTbe4vDxg8mQgMbHqnDuTJBMRqY3BHNnUMGtQM5byqq5tsBd83JxRUlaBk6kFsDlFRcC4ccA33wATJqi2/J6IiC7FYI5sghqlvKoT8/S6Vw612lzy4NJS4I47gL//Bnx9gfnz5UouIiKyDgzmyCaolWOurqFWm5o3J3rgHnlEyR8nynOtXQv06aN2q4iIqBoGc2QT1CrlVV2scRGELa1onTEDWLJEqa/6ww/A4MFqt4iIiGphMEc2Qa1SXtXFRis9cydS81FSVg7N+/prJZgTPvkEGDNG7RYREVEdGMyRTQVzAV7NmzC4ugg/dwR7u6G8wiBXtWresGFAjx7Aq68CDz+sdmuIiMgaK0DsPJuJBX+fxeELuUjL12H+PX1wQ9fweq//9UgKvtqRgLiUPFm+qUOYN569riOGdQwxXTN3w0l88MepGs9rG+KFjc8Pt+jPQurKLS6T+wBP9YZZRU1WMdT6x/E0OdTap1UgNC0qCti2DfD0VLslRERkrcFcUVk5ukT4YmLfaDz21d4rXr/zXBYGdwjGizd0gq+HC5bvScTUJbux6olB6BapzFcSOoZ546upA0yPnR3ZAWnLRHH7nCIlmPP3VK9nzrgIQgRzml3RmpUF7NhRNaTqZQelyYiINE7VYG5Ep1C5NdTr47rWePzSjZ2xIS4VfxxLqxHMOTk6ItSHyUztRYFOD32FQfWeOSE22pieRIPDrKLe6p13Ar//Dnz0EfCk9dQdJCIiKw3mrlZFhQGFOv0lvTHxGYXo/7/f4ebiiN4tA2TQF+nvUe99dDqd3Izy8/Mt2m4yL2OvnJuzI9xdnFRtizE9ydmMQjn06+ehbk9ho7z8shLIid64oUPVbg0RETWQpscfF2w+i8LScoztEWE617OlP96bGIslD/bHm+O7IzGrCJM+3S57b+oza9Ys+Pn5mbaYmJhm+gnIHKxliNWY5y46UPnD4bCWeueWLgXmzFGORSqS7t3VbhEREdl6MPfjgQv44PdT+PgfveUKQiMxbCuCOzEXTyyMWPxAf+QVl2HtoeR67zVt2jTk5uaatjhRPJw0I6e41CqGWDWbPHjvXiUxsPDaa8Dtt6vdIiIisvVg7qeDyXh5xSF8PLmXXBBxOWKYq02IF+Izi+q9xs3NDb6+vqbNx8fHAq0mS/fMWcuQpjF5sCYWQeTkABMnirkGwM03V+WVIyIizXDUYo/ci8sP4sO7emFk57ArXi/m1J3PLEKoj3rJZMmycoqsq2cu1tgzp4VKEMuWAefOAa1bK0OtXPlNRKQ5qi6AEIFWfGah6bGY3yaSrfp7usoFC2//ehypuSWYc2dPUyD3/LKDeH1cjJwbl5ZfIs+LSe++7kqvzP/WxmFUlzD5fPH1uRtOwcnRAbfEtlDppyR7mjMniJXVjg7AxbwSpOWVINTXildWi+FVkUeuY0cgIEDt1hARkdaCOZG+4e6FO0yP31x7TO5v7x2F9yfFIi1Phws5xaavf7MzQaag+M+PR+VmZLxeSMktwT+/3S8/4MVk9L6tA7DqiWsRVG1eHdmWbOMwq5UEc15uzmgf6o2TqQU4mJSL62OsOJgTpkxRuwVERKTVYG5guyDEzx5b79eNAZrR948OvOI9P/pHb7O0jbTD2hZAGBdBiGBOzJu7PubK0wGaVV4e8NxzYhk3EFJVPYWIiLSJE2RI83KNw6xWsgBCiI1W5s0dSLTCRRDPPgt89hkwfrwon6F2a4iI6CoxmCPNy65cACHmWloL44pWUXdYlBuzGitXAosXi0KywOzZyp6IiDSNwRxpXk6xdS2AEDqH+8LVyVHO3UzIqj8tTrNKSanKJ/fSS8CQIWq3iIiIzIDBHNnOMKsVBXOuzo7oEqHkKxSLIFQnegcfegjIzAR69gTeeEPtFhERkZkwmCNNE0OYxp45a1oAUX3e3EFrmDe3YAHwyy8iQzbw1VeAq3W9VkRE1HQM5kjT8nV6lFcYrKoCRO2yXqpXgigvB+bNU47FPLmuXdVtDxER2U5qEqKrlVOo9Mp5uDjJ5NHWxLgI4siFPOjLK+DspNLfTk5OwPbtSu/cP/+pThuIiMhi2DNHNpFjzprmyxm1DfGGl6sTisvKcTq9QN3GiHrDzz/Pcl1ERDaIv9nJJkp5WdsQqyDKyHWv7J1TZd5caqqST86aUqMQEZHZMZgjm8gxZ22LH4xiK+fNqbKi9emngalTlT0REdksBnOkablWmGPOKhZBrFkDLF+uzJcTKUmIiMhmMZgjTcuuXABhTdUfqutROcx6PCUfJWXlzfNNi4urFjqIGqy9ejXP9yUiIlUwmCNNs+YFEEJUgAeCvFyhrzAgLiWveb6pSD9y7hwQFQX897/N8z2JiEg1DObIJqo/WOMCCMHBwcHUO3eoORZBnD4NvP22cjx3LuDtbfnvSUREqmIwR5qWV2LdwVzNeXPNsAjimWcAnQ4YPRq4/XbLfz8iIlIdkwaTpuUV660+mIuNrkxP0hyLIF57Tam/+tFHolvQ8t+PiIhUx2CObKJnztfd+nvmzqQXyvZatK0DByrVHhjIERHZDQ6zkk2kJvH1sN6/S4K93RDp7yGPj1hqqLWkpOqYgRwRkV1hMEeallds/T1z1YdaD1hiqDUtDWjdWlm5KubLERGRXWEwR5olitcXlpZb/Zw5oVd0gNzvO2+BYG76dKV017p1gIt1vw5ERGR+DOZIs/JKlMUPgo+79Q6zCr1bKfPm9idkw2DOWqlxccD8+crxnDmAI/9JExHZG/7mJ80PsXq5OsHZybrfyl1b+MHFyQGZhaVIyCoy341ffBGoqAAmTACGDjXffYmISDOs+xOQqCErWa18iFVwd3GSAZ2wLyHbPDf9/XdlaNXZuSpRMBER2R0Gc6RZWsgxV13vlsq8uf0JZpg3J4Zqp01Tjp94AujQ4ervSUREmsRgjrSflsTKV7LWnjdnlp65I0eAQ4cALy/g1Vev/n5ERKRZ1j1rnKhBw6zaeBv3quyZO5aSj6JSPTxdr6Ld3bsDp04B+/YBoaHmayQREWkOe+ZIs7SSY86ohZ87wnzdUF5hME+d1pYtgfHjzdE0IiLSMAZzZAPVH7QRzDk4OJjmzTV5qLWsDNi/37wNIyIiTWMwR5qlpdWsRqZgrqnJg7/4AujdG3jsMfM2jIiINIvBHGl+NauvlScMNlvyYFGq6403lOPOnS3QOiIi0iIGc6RZWuyZu6rkwUuWAElJQIsW7JkjIiITBnOk+TlzWskzd1XJg/V6YPZs5fillwB3dwu1kIiItIbBHGmW1lazXlXy4G+/Bc6dA0JCgIcftlzjiIhIcxjMkWblleg1lWeuycmDRe3Vt95Sjp97DvD0tGDriIhIaxjMkWZprQJE7Z45Y/LgKzp7FsjJAfz9ldJdRERE1TCYI00qKStHqb5CHvt5aiuYa+HvgXBf94YnD27fXhliXb8e8PVtjiYSEZGGMJgjTa9kdXAAvK+mLJZWhlrFgod+/SzbKCIi0iQGc6TpHHM+bs5wdHSA1hiHWvfEXyGY+/NPoLy8eRpFRESaxGCONElrpbxq698mUO73xGehoqKe5ME7dwIjRwKxsUoZLyIisoisr7/G6ZGjcLxHLM5NuhPFhw5d9vryvDxcfOMNnBwyBMe798CZG25EwaZNUIv2xqeIqg2zainHXHUxEb7wdHWSK3JPpuWjc3gdc+HmzFH2ffsCLtr8OYmIrF3eunVIm/02wqdPh0dsD2QtWYqEqQ+j3S/r4BwUdMn1htJSJDz4EJyCAhH1wQdwDg1DWfIFOKk4p1nVYG7n2Uws+PssDl/IRVq+DvPv6YMbuoZf9jnbz2TizbVxOJVagAh/dzw1oj0m9o2ucc3S7fGYv+ks0gt06BLhixm3dEXPaGWOEtkGreaYM3J2cpRDrVtOZ2B3fPalwVx8PPDDD8rxv/6lShuJiOxB5hdL4D9xIvxvv00+Dp8xXfay5axYieBHLs3rmbNyJcpzc9H622/gUPmHtmtUJOx2mLWorFwGW2/c2q1B1ydmFeHBL3ZjYNsgrHtmMB4c1AavrDyMTSfTTdf8fDAZb645hmeu64C1Tw9GTIQP7v1sJzIKdBb8SUitHHM+GqrLWlvf1sq8ud3nsi794ocfKvnlrrtOGWYlIqIGy8/PR15enmnTidrWdRC9bCVHj8Lr2oGmcw6OjvAaOBDFBw7Ufe+NG+HRsycuvjETJwcNxtlx45Dx6XwYVJzfrGowN6JTKF64oRNu7Hb53jijr3aeR3SgB167OQbtQ31w37WtcVO3cHy25ZzpmkVbzuGu/tGY1DcaHcJ88L/x3eHh6oRlexIt+JNQc8vXYF3W2vq3rpo3V0NuLrBoUVWSYCIiapSYmBj4+fmZtlmzZtV5nT47Ry4yc6o1nOoUHAR9RkadzylLTEL+b7/BUFGO6PnzEfz448havBgZn3wKtWiqW2P/+RwMah9c49zQjiGY+XOcPBZ5x45cyMUTw9uZvi5WOorn7Dtff+kkEbFXj9pFRE/WLd8GeuZ6tvSHs6MDknNLkJRdhKiAysoOIpAT78GYGODGG9VuJhGR5sTFxSEysmro083NzXw3r6iQwV/EG2/AwckJHt26oiw1DZmff4aQp56EGjS1mlXMgQv2rvk/JMTbDfk6vUwim11UKhOx1nWNeG59RMRePYIXET1po2dOpCbRKk9XZ3SN9Ls0RcnWrVVz5UQiPSIiahQfHx/4+vqatvqCOecAf8DJCeWZmTXOl2dkwjk4uO7nhITAtXUrGcgZubVri/L0DDlsqwZNBXOWMm3aNOTm5po2EdGTdSsw9cxpd5hV6NdKmTe3q/pQ64oVgFjiPmWKeg0jIrIDDq6ucO/aFYXbd5jOGSoqULhjh5wXVxeP3r1Rdj5BXmdUGh8vgzxxPzVoKpgTPWy1FzKIHjfRO+Pu4oQAT1c4OTrUeY14bn1ExF49ghcRPWljmNVbw8OsQr9q+eZMRG/c0KFK1QciIrKooPvvQ87y5chZtRq6M2dwcfoMVBQXw/+2CfLryS+/jLT3K1NFAQi4+y65mjX1f29Bd+4c8v/6CxnzFyBg8j9U+xk09UnYq5U//jpetXJV2HIqA70qezdcnR3RLdIP205nmFKciISs205n4t5rW6nSZrIMMbSu9TlzQt/K9+7J1ALkxF+Af5CvGB9Qu1lERHbDd8wY6LOykT7vQzlU6talC1ouXGAaZi1LThFLXE3Xu0REIHrRQqTOno2cW8fDOSwMgffcg6CHp6r2M6j6SVio0yM+s7BG6pGjybnw93RFpL8H3v71OFJzSzDnTqWrc8qAVli67TxmrTsmc8ttP5OBtYdT8Pn9VTUrpw5ug+eXH0T3KH/0jPbDZ1viUVSqx8Q+NXPRka0sgND2MGuQtxvahXjhTHoh8v/9H/j/vByYOxeYqt4vBSIiexM4ZbLc6tLqy6WXnPPs1Qttvv8e1kLVYO5QUi7uXlg1Tv3m2mNyf3vvKLw/KRZpeTpcyCk2fT060FMGbjPXxGHx1niE+7lj9m3dMaxjiOmacbEtkFVYirkbTiI9X4cuLXyx5MH+CPEx40oWspoFEN4aXgBh1K91IC4mpSN09TKguBBo3VrtJhERkYao+kk4sF0Q4mePrffrIqCr6znrnhly2fuK/HNiI9tVUDnM6qvxYVZjMOe84C+4iUCuY0elHisREVEDaf+TkOyOwWCwmQUQxhWtXfetlceljzwGV0dNrUsiIiKV8VODNKekrELmE7SFOXNCdNxedM44j2JnN+wfcYvazSEiIo1hMEeanS8nMnh4uVYlbdQqh08+kfvVMcOwJUPpcSQiImoo7Y9Rkd2mJRGLHxy0XiFBlO1avVoeftVrDDzO1MxCTkREdCUM5khzjPPlfG1giFXmlDt2DFnLVuFoVnu4JOXIVDqi1BcREVFDcJiVtFuX1QYWP0itWyPgxWdlbsWycgP2nq9Wp5WIiOgKGMyRZuuyaj7HnEFZxCGI4eIBbZXSXts51EpERI3AYI40XP1B48HcP/8JjBsH7NolHw5sGyT3288ymCMiooZjMEfaXQCh5TlzRUXA0qXAmjXKIojKhNjGyijGpMhERERXwmCONMcm5sytXAnk5Smlu0aMkKeiAjwRHeghc+jtjs9Su4VERKQRDOZIc2ximPXzz5X9Aw8A1So+XNNG6Z3bwaFWIiJqoAZ9Go79cDMaQ6T+WnRvP4T7uTfqeUSNWQDho9UFEGfOAH/+qfxDuf/+Gl8SQ63L9yZhBxdBEBFRAzXo0zAuJQ8PD2kLzwZk2xcL9D7ZdAal+oqGtoGoUfJ1xmFWjc6ZW7JE2V9/PdCyZY0vGefNHb6Qi7ySMtvIpUdEZMdSZ81u9HOCH38MTv7+Db6+wV0bjwxti2BvtwZdu2jz2QY3gKipw6yaTE0i/tr56ivluFavnBDh54HWQZ6IzyzC7nNZGNUlrPnbSEREZpO1dCk8evaEg0vD/jgv2rcPAVMmmz+Y2/zSCAR5uTb4phueG4YwXw6xkmVoes6cXg+88AKwYgVwyy11XiJ650QwJ+bNMZgjItK+qI/mwTlIGXm5khO9+1hmAYRYZdeYGpgt/D3g5KjxmpmkgdWsGhyCFH+ZPfEE8McfgJdXnZdcU5lvbutpzpsjItK6iLfegqMo3dhA4TNmNDjwM8tq1hvm/o3knOKruQVRoxlzsGmyZ64BBrUPNs1VzSjQqd0cIiK6Cv4TxsPRteGjm37jboajp2fzBXNJ2UXQl1eVJCJqDpodZt22DZg/H8i6fA45MTe1S4SvPN56OqOZGkdERM0pZcYM6LPNU4ubeeZIU0RC3aLScm0ugJg3D3jsMWDmzCteOrSD0ju3+RSDOSIiW5T308+oKChQP5jr1yYQ7i6MB6n5c8xpbs6cqPawerVyPHnyFS8fXBnMbTmVAYNYAUtERLbFYL7f7VcViX3xQH+EctUqqZBjzs3ZEa7OGvpDYtUqoKQE6NQJ6HPllUr9WgfKn+9iXgnOpJvnLzciIrJNDfo03BCXirLyhicB/vN4GkrKlKEwInPS7Hw5Y265KVOUyg9X4O7ihP6tA+Uxh1qJiGxPp3174Rod3XzB3KNf7kFesdIj0hBPf7sfaXlchUeWDOY0NMR68SKwcaNy/I9/NPhpQzhvjohI88obOS+uvKCw0d+jQd0bYlT3heUHGzyspdOzV44so6BymFVTix9EguCKCmDAAKBt2wY/Tc6b+wUyebAoj6epYWUiIpJO9h+ADpv/bnDuuNPDhqHN6lWN6rVr0Cfi7b2j0Bi39oyEt9aGwUgTNDnMev484OQETJzYqKd1CfeVlVcyC0uxPyEbAyqTCRMRkYYYDMhZ/kODc8cZRKWgRmrQJ+J7E2MbfWMiS9BkMPfOO8BLLwHOjWuzo6OD7J378UAytpzOYDBHRKRBLhERyFm+vMHXOwcHw6GRnxca+kQkqgrmvN00NGdOCFbmvzXW4PZKMPf3qQw8P7qT2ZtFRESW1X7jHxb+DkwaTJqty6qRv0OuUO3hSoZ0CJH7Q0k5yCosNVOjiIjIljCYI03RVF1WsYo1LAwYOlTJMdcE4X7usrSXyC3598l0szeRiIi0j8EcaYqm5sytXAmIiaw6HeDe9OTaIzsrvXN/nkgzY+OIiMiugrnYGetNQzwvLj9o6h0ham6ayjNnnPDayFWstY3oFCr3m06my9q0REREjQ7mRPUHY03MFfuSoGN1B1J5zpzV55lLTQX+/ls5vuOOq7pVz2h/+Hm4IKeoDAcSs83TPiIiahZJTz9tShycs3o1KkrNP/+5QZ+IvVsG4JEv96BbpJ9MIDz95zi415PA9F2mMSEL0swwqxhiFYmC+/UDWre+qls5OzliaMcQ/HwwGX8eT0efVkqZLyIisn75f21CWFERnLy9kfLvV+E9ZAgcG5hAuKEa9Ik4986e+GzLOSRkFcKhsndE58TpdtT8NLMA4ocfzDLEajSiU2UwdyINL9zAFCVERFrh1qYN0ufMhaeoAmQwIO+XX+Ho7VXntf7jxzfpezToEzHExw2v3NRZHg9+eyPmTuqJAC/XJn1DIvOkJnGx7nQkmzYpx7fdZpZbip45BwfgaHIeUvNKEObb9AUVRETUfMKnT0fq27NRID4XHByQ/sEHcn8JBwfLBnPVbXl5ZJO+EdHVMhgM2uiZc3MDPvsM2LsXaNfOLLcM9nZDjyh/HEzMwaYT6ZjUr+E1+4iISD2evXuhzfffy+NjXWLQ7tdfGlyntaEa9Im4eOu5Bt/wgUFtrqY9RPXS6StQVm6w/gUQXl7AffcpmxmJoVYRzImhVgZzRETa0/73DXAKNP+85wZ9Ior5ctWJNCXFZeXwrRzqyispg4eLE4K8XRnMkcUXP4jeaS9XKw7mLESkKPl/v5/C5lMZKNVXwLWeRUhERGQ9Sk6cqPG4/OTJeq9179S0OdHOjR1a/fHABXy5/TzevqMH2oV4y3Nn0gswbcVh/GNAyyY1gqhRaUlcnWURequ0fTuwdSswYYLZhliNukf6yeHWjAIddp7LNJX6IiIi63Vu/ASlF0KU8qlrrlw1XeKONul7NLp74/31J/F/k3ubAjlBHP/n5hg8/vVejO8V2aSGENlEWpLFi4GFC4Fz54CPPzbrrUUAe31MKL7dlYj1R1MZzBERaWRo1ajk2DGkvvMugh58EB69espzxfsPIGvxYoS++AKaqtGfimn5JXVmoS83GGSPAZGlVC1+sNKVrCKv3E8/Kce33mqRb3F9TJgM5jbEpeKNW7vC4Qp/5RERkbpcIqs6uZKe/RfCX/03vIcNqzG06hIRjvQPPoTPddc1TzA3qF0w/r3qMN6+vYdMIiwcTsrFa6sPY3D74CY1Yun2eMzfdBbpBTpZVHzGLV1l1vu63Dl/O3aey6pzcvjiB/rL4+eXHZSVKmqndlj6oPJ10vgwq7X2zO3cqVR+8PUFhg+3yLe4tl0wPF2dcDGvBIcv5MoVrkREpA26kyfhEhV1yXlxTnfmTJPv2+hPxXfu6IHnlx/EuI+2wMVRmYCtr6iQwdLs23s0ugEiEeqba47hzQnd0CvaH59vPYd7P9uJjS8Ml/ODapt/Tx+UlleYHosSRzd9sBljukfUuG5YxxC8O7GqPW5OTo1uG1kXqx9m/fFHZT9mDOBqmTyM7i5O8r39y5GLsneOwRwRkXa4tmuLzAULEDFzJhwqPycMpaXynPhaUzX6UzHI2w1fPNAfZ9MLcDqtQA7ztAvxQttqc+gaY9GWc7irfzQm9VVSLfxvfHdsPJ6GZXsS8cTw9pdc7+9Z80Py54MpciXt2B41gzmx0i/Up2GJVXU6ndyM8vPzm/SzUPMEc1ablmT1amXfxKSPDTW6a5gM5sS8uedHsxoEEZFWREyfjsTHn8Cp4SPg1qmjPKc7cVIujIj+5P+afN8mfyqK4K1NsFKOoqnzdkR6hSMXcvHE8HY1JnkPah+MfedzGnSPZbsTMS42Ap61UlXsOJuJPjM3yALlA9sF4YXRneqtWjFr1izMmDGjST8DqdEzZ4Vz5sTSc7G5uAA33WTxFCVOjg44kZqP85mFaBVUd1kYIiKyLh49eqD9hvXI/XkNSs+eled8b7oJfjffDEdPz+YN5r7fnSBzz8VnFMnHrYM98eCgNrirf+NSk2QXlcrFFLWHU0O83XAmvfCKzz+QmCM/0ESalOqGdQrBjd3CER3ogfOZRXj3txO4f/EurHxikPwQrG3atGl47rnnTI8vXLiAmJiYRv0sZHkFOmXOnK81DrMePgy4uwNDhihz5ixI9E4PaBOIbWcy5VDr1CFN75onIqLmJYK2gDsnmfWejf5UnLP+hBwave/a1ujdMkCe25eQjZlr4pCcU4znmnHY5/vdiegc7nPJYolbYluYjjuH+6JLuC+Gvvun7K0TvX61ubm5yc0oLy/Pwi0nmxtmveMOZa5cenqzfDuxqlUEc+sZzBERaUbG/AVwDg6C/+231zifs2IF9FlZCH744Sbdt9Ep5L/amYBZt3XHyzd2lh8oYhPHb93WHV/uON+oewV4usqestopTcSqVtE7dzlFpXqsOZhsmmt3OS2DPBHo5Yr4zCv39pH1yrf2uqyii7xVq2b5VuLfnbAnPguZTAlERKQJOd9/D9c2l/4B7ta+PXK+U+q3NkswV1ZeUecKOpGdXl9H/rnLEYsURHqTbaczTOcqKgzYdjoTvVtdfpXe2kMp0JVXYEIDkhSn5BbLId2GLogg62S1c+b0SruaU1SAJ7q28IX4JyeGWomIyPrpMzLgHHppwndRr1V/FSM7jQ7mbusVia/q6IH7dlcCxvdsfPWHqYPb4NvdifhhbxJOp+Xj1dVHZK/bxD5Kj9tz3x/A278ev+R5YrXr6JiwSxY1FOr0eGvdMTn0m5hVhK2nM/Dw0j1oHeSFoR2blgePrEOBteaZe/RRoEcPYM2aZv22xnQ8aw+nNOv3JSKipnGOCEfxvn2XnBfnnENDm3cBhFhBuvlUOnpFB5gWIoj5crf1jpRz54xEia8rGRfbAlmFpZi74STS83Xo0sIXSx7sjxAfZZj1Qk7xJatlRS3Y3fHZ+PKhS5MAi2HbYyl5WLE3CXklZbI3TgRxz13fCW7OzDWnZVaZZ05UfVi3Drh4UUy+bNZvPbZ7hFzcI+bOiX9DYioBERFZr4CJE5H61iwYyvTwumaAPFe4YwfS3n0PgQ880OT7NvpTUawe7RqprNY7n6XMQQvwcpGb+JqRAxqerkQsphBbXb5/dOAl50Qt2PjZY+tNqvrlQ8oLRDYazLlZ0TDrgQNKIOflBQwd2qzfunWwF2IifBGXkof1Ry82ejU5ERE1r8CHHkJ5Tg4uvvEGDGXKaJODmxuCpj6E4Ecfab5g7rtHLg2uiJq3NqsV9cyJXjlB1NNr5p45QSTLFsGcGGplMEdEZN3ESGPoCy8g+PHHoTt7VgZyrq1bw/EqqwY1es4ckRrEwhirDObWrlX2Y+vuKW6OoVbBONRKRETWz9HLCx7du8O9Y8erDuTk/czSKiILKyitWjFqNQsgMjKAnTuVYwtXfbjcUKtY1SqSb4uhViIisj8M5khT8+VEOhurWcjy22+AwaCsZI2KUq0ZXNVKRGTfGMyRJhSYFj9YSa+c0LYtcO+9wOTJqjaDQ61ERFcn6+uvcXrkKBzvEYtzk+5E8aFDDXpe7tq1ONa5CxKffApqYjBHmpBfmWPOqubLDRwILFkCvPSSqs2oPtT6yxH2zhERNUbeunVIm/02gp98Em1WroB7p05ImPow9JmZl31eadIFpL3zLjz69oHaGMyRpkp5Wc18OStjrEf84/5ktZtCRKQpmV8sgf/EifC//TZZVit8xnQ4ursjZ8XKep9jKC9H8osvIuTpp+AadeWyopbGYI40wepyzG3fDuzfryQNtgK39GwBkVt7V3wWkrKL1G4OEZGq8vPzkZeXZ9p0urprWBtKS1Fy9Ci8rq1Ku+bg6AivgQNRLPKI1iPj4/+DU1Ag/O+4A9aAwRxpas6c1fTMvfIK0Ls38NlnsAYRfh4Y2DZIHv94gL1zRGTfYmJi4OfnZ9pmzZpV53X67BygvBxOQcrvTyOn4CBZR7UuRXv3ImfFCkTMnAlrYSWfjEQamjOXn6/0zAmjRsFajO8VKRdBrNp/AU8Mb3dJGTwiInsRFxeHyMiqevFuZkrqXl5QiOSXXkbEzDfgHKCUNLUGVvDJSHRlpoTB1rCaddMmQJRhaddOWdFqJW7sFo7XVh/B6bQCHE3OQ7dIP7WbRESkCh8fH/j6KqVHL8c5wB9wckJ5rcUO5RmZcA4OvuT6ssQElF24gMTHn6g6WTnd5ljXbmj3yzq4tmz+ajxW8MlI1Ig5c+5WMGdu/Xplf/31sCa+7i64vkuYzDe3ev8FBnNERFfg4OoK965dUbh9B3xEWUYxj66iAoU7diCgjrRTrm3bos1PP9Y4l/7Bh6goLETYv6fBJTwcauCcOdJUMGcVc+aMwdzo0bA2YqhV+PFgskxVQkRElxd0/33IWb4cOatWQ3fmDC5On4GK4mL43zZBfj355ZeR9v4ceezo5iZLcFXfnHx8ZHkucSyCQzVYwScjkYbmzCUkACdOyG55jBgBazOsYwj8PV2Qnq/DtjMZGNIhRO0mERFZNd8xY6DPykb6vA9Rnp4Bty5d0HLhAtMwa1lyiljiCmvGYI40NWfOW+05cxs2KPsBAwB/f1gbUe7s5h4R+GpHAlbsTWIwR0TUAIFTJsutLq2+XHrZ57aYXfdK2eZk3aEmUa1hVjEvTFVTpgB//gm88Qas1R19lASWvxy5iNxipUeTiIhsF4M50lbPnNrDrGJ5+/DhVpWSpLbYKD90CvOBTl+Bnw5cULs5RERkYQzmSBOsZs6cBoj8cpP6Kb1z3+9JVLs5RERkYQzmSFurWdWcM7doEfDMM8CePbB2E3pFwsXJAUcu5OFocq7azSEiIgtiMEdWr1RfIYcMVc8z9+WXwIcfaiKYC/RyxegYJd/R8j1JajeHiIgsiMEcaWa+nKo9cwUFwLZtVpksuD4T+0bJvSjvVVJWrnZziIjIQhjMkWbmy3m6OsHJUaV6o1u3Ano90KqVUsZLA0RakhZ+7nJF6/q4VLWbQ0REFsJgjjRUykvF+XIbNyr7kSOhFSLwvaOP0jv37c4EtZtDREQWwmCOrJ5VLH4wBnNWWPXhcu7s3xKiM3P72UycTstXuzlERGQBDOZIM3PmVFv8kJMD7NunyWAu0t8Do7qEyWNRFYKIiGwPgzmyeqrnmDt3DoiMBDp0AKKUYUstueeaVnIvynsVVltMQkREtoHBHGmoZ06lYK5XL+D8eWDHDmjR4PbBaBPshXydHqtZEYKIyOYwmCOrZxVz5hwcgMBAaJGjowMmD2gpj7/cfh4Gg0HtJhERkRkxmCMNrWZVYc5cWRlQoSQs1rKJfaLh7uKI4xfzsed8ttrNISIiM2IwR5qZM6dKz9yPPwIhIcALL0DL/DxdcGtspDxeuv282s0hIiIzYjBHVk/VOXMiJUlWltJDp3H3DFQWQvxyOAUpucVqN4eIiMyEwRxZPVWTBmswWXB9ukX64Zq2gdBXGPDFtni1m0NERGbCYI6sXoFac+aSk4ETJ5TFD0OHwhZMHdxW7r/ZmVCj5i0REWkXgzmyenlqzZn7809l37s3EBAAWzCycyjaijQlJXos252odnOIiMgMGMyR1VNtzpwxmLOBIdbqaUoeHNxGHn++9RzKK5imhIhI6xjMkdVTbc6cDc2Xq+723lEI8HRBUnYxfjt6Ue3mEBHRVWIwR1ZNJLhVpTarWL06eTIweLCy2RAPVydMqSzxtXDzWSYRJiLSOAZzZNWKy8pNQ4HNOmfOxQWYORPYvBnw9oatuXdga7g6O2J/Qg52nM1SuzlERHQVGMyRJlayOjoAnq5OajfHZoT4uGFS3yh5/PGfp9VuDhERXQUGc2TV8qrVZXUQKUKay/r1QE4ObNmjQ9vB2dEBW05nYH8CS3wREWmVipXLqyzdHo/5m84ivUCHLhG+mHFLV/SM9q/z2uV7EvHiD4dqnBPDRSffvMn0WMwBmrvhJL7dnYi84jL0bR2AN8d3R5tgL4v/LGReqsyXS0gAbrhBGWoVAZ2nJ2xRdKAnJvSKxPK9SbJ3btF9/dRuEhERabFn7ueDyXhzzTE8c10HrH16MGIifHDvZzuRUaCr9zk+bs7Y9eoo07b15ZqrDT/ddBaLt8Xjf+O7YfWTg+Dh4ox7P9+JkrLyZviJyBJ1WZt1JauYJyf07GmzgZzR48PbySHs34+lIS45T+3mEBGRFoO5RVvO4a7+0ZjUNxodwnzwv/Hd5Wq7ZXsuk9DUAQj1cTdtYv5P9V45kT/r6ZHtMbpruOzpm3NnLFLzdFgfl1rn7XQ6HfLy8kxbfn6+JX5UuqrqD80YzP39t7K3kaoPl9M2xBtje7SQxx//xblzRERapGowV6qvwJELuRjUPriqQY4O8vG+8/XPVyoqLceg2RsxcNYfmLpkD06mVgVfiVnFSM/X1binr7uLHLbdd77ueUGzZs2Cn5+faYuJiTHbz0jmyTHXrCtZjT1zdhDMCU+OaCf36w6n4FS1f0tERKQNqgZz2UWlMu1EsHdVz5oQ4u0m58/V15Pwzu09sODePph7Z0/ZE3f7/21DSm6x/Hp6QYnpHg2957Rp05Cbm2va4uLizPQT0tXKb+45c2lpwLFjyrGN5ZerT+dwX9zYNRwi3dycDSfVbg4REWltmLWx+rQKwO19otC1hR+uaRuET+/pg0BvV1k4vKnc3Nzg6+tr2nx8fMzaZrr6OXPezTXMumWLsu/eHQgMhL14bnRHiMXCvxy5KHvLiYhIO1QN5gI8XeHk6HDJYgfRg1a7Z60+Lk6O6NrCF/GZRfJxiLe76R5NvSfZ8Zw5O5ovV13HMB+M7xkpj99bf0Lt5hARkVaCOZFSpFukH7adzjCdq6gwYNvpTPRuVXdqktrEMO3xi/kIrVwEER3oIRdEiHtU7905kJiD3q0CLPBTULPUZW2uOXP//CewYAEwZQrszbPXdZB55/46kY7d8awKQUSkFarnmZs6uA2eX34Q3aP80TPaD59tiUdRqR4T+0TLrz/3/QGE+bnj5Rs7y8cf/H4KvVr6o3WQF/JKyjD/77O4kF2Mu/op14vEsg8OaoN5G0+hdbCXDO7eX38SYb5uGB0TpurPShrIM9e2rbLZoVZBXpjYNxrf7krAu7+dwPePXNO8iZqJiEibwdy42BbIKiyVSX7FKtQuLXyx5MH+pnQjF3KKa3yg5BaXYdrKw/JaXw8XdI/0xYrHr5VpTYweG9YWxaV6eZ0I+Pq1DsCSB/rD3YXloLRG/P9r9tWsduyfo9pjxb4k7DqXhb9OpmNEp1C1m0RERFfgYBDLQamGpKQkREdHIzExEVFRSv1KUsf4j7fKIfKF9/bF9ZbuWf32WyArC7j5ZqBVK9irN9fEyfyPHcO8se6fQ+DspLl1UkRkp5Ls9PObv6VJEz1zvs2xAGLePOCpp4BNm2DPnh7ZAf6eLjiZWoBle5LUbg4REV0BgzmyannFypw5MaRuUUVFwO7ddrmStTY/Txf8c2QHeTxnwwnTvEUiIrJODOZIGz1zlg7mtm8H9HogOtquh1iNplzTCq2DPJFRUIpP/zqjdnOIiOgyGMyR1SopK5cl35plmLV6fjmu4JRpg6aN6SKPF24+KxciERGRdWIwR1bfK+foAHi5NmMwR5JI5dO/TSB0+gq8ta6yxBkREVkdBnNk9fPlRI45RxHRWYpOB+zYoRwPGWK576MxIiXQ6+NiZDC99lAKtpyqSu5NRETWg8EcaWC+nIV75Y4dA8rKgOBgoLOSnJoUogbyvQNby+P//nQEOn252k0iIqJaGMyR1corNqYlsfDih549gZwc4PffOV+uDv+6viOCvd1wNr0Qn205p3ZziIioFgZzZLXyKuuyWjyYE7y9gdhYy38fDfLzcMG/xyg9lvP+OM3FEEREVobBHFl/z5ylh1npiib0ikT/1oEoLivH6z8eAQvHEBFZDwZzZLVEHV6L98zt3w8MGAC88YblvoeNLIaYOb4bXJwc8PuxNPx8KEXtJhERUSUGc2TfCYP/+gvYtUvZ6LI6hfvgyRHt5fH0n44iq7BU7SYRERGDOdJEKS9L9swxv1yjPDG8PTqF+chAbsbPR9VuDhERMZgjLfTM+VlqzlxFBbB5s3LMYK7BlSHeuaOHzD3344Fk/HEsVe0mERHZPQZzpIEFEC6Wyy+XmQl4egK9e1vme9ig2Gh/TB3SVh6/uuqIaW4jERGpg8Ec2W9qEuMQ68CBgKurZb6HjfrXdR3ROsgTF/NK8N8fj6jdHCIiu8ZgjqxWvqV75jjE2mQerk6Yc2dPODk6yOHWHw9cULtJRER2i8Ec2W85r6AgICyMwVwT9W4ZgKdHKqtbX1t1BIlZRWo3iYjILjGYI6skktJafDXrvHlASgqDuavw1Ij26N3SH/k6PZ5fdhDlFUwmTETU3BjMkVXS6StQWl5h+TxzoharI/8ZNJWzkyP+35294OXqhF3xWfjkr9NqN4mIyO7wU4ysknElq0iBIQIFs0tPF91/5r+vHWoZ5IkZt3aTx3N/P4UdZzPVbhIRkV1hMEdWX/1BlJIyu2uuASIigAMHzH9vO3R770jc1itSDrM+/e1+pOWVqN0kIiK7wWCOrFKuJefLXbgAnD2r9M61VfKl0dURAfebE7qhY5g30vN1eOrb/dBXDpMTEVm7rK+/xumRo3C8RyzOTboTxYcO1Xtt9rJliJ88BSf6D5Db+QceuOz1zYHBHNnfSlZjSpJevQBfX/Pf3055ujrjkyl94O3mjF3nsvDe+pNqN4mI6Iry1q1D2uy3Efzkk2izcgXcO3VCwtSHoRdJ5etQtGs3fMeOQaslX6D1d9/CJTwCCQ9NRVmqehVxGMyRdVd/sETPHOuxWky7EG+8fXsPefzppjP49chFtZtERHRZmV8sgf/EifC//Ta4tW+P8BnT4ejujpwVK+u8PvK9dxH4j3/AvUsXuLVti4g3Z8rykIXbt0MtDObI/qo/MJizqLE9IvDgoDby+LllB3A0OVftJhGRncnPz0deXp5p0+l0dV5nKC1FydGj8Lp2oOmcg6MjvAYORHED51RXFJfAoNfDyc8PamEwR1Zel9XMw6wZGcDRo8rx4MHmvTeZ/HtMZwxuH4yi0nI8vGQP0vK5IIKImk9MTAz8/PxM26xZs+q8Tp+dA5SXw0kkka/GKTgIevF50QBp778H59BQeF17LdTCYI6sOpjzMXfP3JYtyr5rVyA42Lz3phr55z7+R2+0DfZCcm4JHv1yL0rKytVuFhHZibi4OOTm5pq2adOmWeT7ZCxYiLx1vyDqo3lwdHODWhjMkVXKKVKCuQBPMwdz7dsDL74I3H+/ee9Ll/DzdMGi+/rC190Z+xNy8MqKQ7KyBxGRpfn4+MDX19e0udUTaDkH+ANOTiivtdihPCMTzlf4gz/zs8+RuXAhWi5aJBdNqInBHFml7KJSuffzdDXvjbt1A955B3jhBfPel+rUNsRbrnB1cnTA6gPJeOe3E2o3iYjIxMHVFe5du6Jw+w7TOYNYzLBjBzx69kR9MhctQsYnn6DlwgXw6K4kTVcTgzmySjnFFuqZo2Y3qH0wZk3oLo8/+esMFm89p3aTiIhMgu6/DznLlyNn1WrozpzBxekzUFFcDP/bJsivJ7/8MtLen2O6PmPhQqR/8CEi/vc/uERGQp+eLreKwkKoxQJJvIiuXk5lz5y/hxl75k6cAOLjATFJ1cfHfPelK5rUL1oughC5595YE4dgbzeMi22hdrOIiOA7Zgz0WdlIn/chytMz4Nali+xxMw6zliWniCWuputzvv0OhrIyXHjmmRr3EXnqQp5+CmpgMEdWPWfO35w9c0uWAGJFk5gvt3ix+e5LDfLkiPZIy9dh6fbzMmVJgKcrBnfgIhQiUl/glMlyq0urL5fWeNx+4x+wNhxmJasjJsmbFkB4mbFnjvnlVC/59fq4rhjTPRxl5QY8vHQPdp6tO8M6ERE1HIM5sjrFZeUorazr6e9hpp654mJg1y7lmMGcasRCiLl39sTQjiHy//MDX+zG3vNZajeLiEjTGMyR1cmu7JVzdXKEp6uTeW66cydQVga0aAG0bWuee1KTuDk7YcE9fXBtuyCZVPj+z3fjQGKO2s0iItIsBnNktYsfRJ4yMTRn1iHWIUPEeJ957klN5u7iJHPQ9W8TiHydHvd+tpMBHRFREzGYI/tIGMz5clbH09UZi+/vh76tAmQt3skLd2D7Gc6hIyJqLAZzZLUJg82WlqS0FNi2TTlmMGdVvNycseTB/nLItbC0HPct3oU/jqWq3SwiIk1hMEe2n5bE2VlZ/PDJJ6L6snnuSWYN6D6/vx+u6xKGUn2FrOP608FktZtFRKQZVpFnbun2eMzfdBbpBTp0ifDFjFu6ome0f53XfrsrASv3JeHExXz5uHuUH168oXON659fdhAr9iXVeJ5YPbf0wf4W/knIrAmDzRXMOToqZbzERlY7h+6TKb3xwvKD+PFAMp75bj8yC3R4YFAbtZtGRGT1VA/mfj6YjDfXHMObE7qhV7Q/Pt96Tk6G3vjCcJklvrYdZzNxS2wL9L4lQK6K+3TTGdzz2U5s+NcwhPu5m64b1jEE707sYXrs5mSmVZHUjHPmzFyXlayai5Mj5k7qCR93Z3y1IwEzfo5DQlYRXhsbI1OaEBGRlQ6zLtpyDnf1j8akvtHoEOaD/43vDg9XJyzbk1jn9R/c1Qv3DGyNri380D7UG2/f3gMGA7D1dEaN61ydHRHq427axMpI0lZqErP8PxPpSETFh4ULlblzZNUcHR0w89ZuePnGzvLx4q3xeOyrvSgq1avdNCIiq6VqMCfmxxy5kCsLcZsa5OggH+8737A0BSLxaFl5xSVDcqIHr8/MDRj53l94ddVhZBfW/0Gu0+mQl5dn2vLzlSFcUkducan5eub27lXKeL3yijJ3jqyeSEfz+PB2mHd3L/lH2Ya4VNy1YAdS80rUbhoRkVVyVHvVYnmF4ZLh1BBvNzl/riFm/3IMYb7uNQLCYZ1CMGdST3z98AC8fFNn7DyXhfsX75Lfqy6zZs2Cn5+faYvhJHmr6JkzS/WHjRuV/bBhytw50oxxsS3wzdQBMkXNoaRc3DxvC/bEs1oEEVFtmv50+7+/TuPngymYf08fOYHaSMypuz4mDJ3DfXFD13B8fl8/HEzKlb11dZk2bRpyc3NNW1xcXDP+FFT/Aggz9Mz9+aeyHzny6u9Fza5v60CsfnIQOoX5ID1fh7sX7sCX2+Nl/V4iIrKCYE4Mo4mJzRm1euFEr5zonbucBX+fwSd/ncGXD/WXK2Avp2WQJwK9XBGfWVjn193c3ODr62vafHx8mvDTkNl75q52zpxOB2zdqhyPGGGGlpEaWgV5YeUT12Js9wiUlRvwnx+P4sUfDqGkrFztphERWQVVgzkxH6ZbpB+2VVu8UFFhwLbTmejdqu7UJIJYwTrvj9My2WiPqPqvM0rJLZZDumIhBFk3fXmFKWlwXauZG12PtbgYCA1lfjkbyEX30T96YdpNnSEWtv6wNwnjP96KU6mc30pEpPow69TBbfDt7kT5y/l0Wj5eXX1Erlyb2Cdafv257w/g7V+Pm64XvXFz1p/EO3f0QFSAB9LyS+RWqFNWu4n9W+uOYV9CNhKziuQq14eX7kHrIC8M7Vg1r46st1dOjKCJ8qlXXc7LOMQqeuVYj9UmFkY8Oqwdlj44AMHerjh+MR/jPtqCb3YmcNiViOyaszVMcs4qLMXcDSflnJguLXxlj1uIj9IrcyGnuEax9a92nEdpeQUe/3pfjfs8M6oD/nV9RzlseywlDyv2JiGvpEz2xokg7rnrO8m8dGTdMgt1piF4Z6er/FsjOVkJ4jjEalMGdwjGumeGyOTgm09l4N+rDmPzqXTMvq0HUxARkV1yMPBP2kskJSUhOjoaiYmJiIqKUrs5dkX0pE5etBMdQr2x4blhV3/D7GxAJIz2vfy8StIeMSVj0ZazeOfXE9BXGBDh545Zt3XH8E6hajeNiFSSZKef36oPsxJVZ1wMc9Xz5YwCAhjI2SiRk/KRoe2w4vFr0TrIEym5Jbh/8W68uPwgcouVRTRERPaAwRxZlYwCZfFDkPdVpiWpqDBPg8jqxUb7y2HXBwa1lqPqy/cmYfTcTdh4PFXtphERNQsGc2RVRHF1s/TMibxygwcD+2rOrSTb5OnqjNfHdcWyRweiTbAXUvN0ePCLPXjqm32sHEFENo/BHFmVTGPPnJfr1c2T27xZyTEXEmK+xpHV69c6EOv+OUSukhcpTNYcSsGo9zdh0eazMu0NEZEtYjBHVrmaNehqeub++EMZZu3SBYhWUtyQ/fBwdcJrN8fgp6cGo2e0Pwp0ery59pgsB7brHMuBEZHtYTBHtjdnbv16ZT96tJlaRVokEpKvfPxaucJVVBMReekmzd+Ox77ci3MZdVeDISLSIgZzZJU9c02eMycy7fz2m3J8ww1mbBlpdcXr3f1bYuPzw+VeDL3+evQirp+zCdN/OipzXBIRaR2DObLKOXMiw3+TnDwJJCQArq7A0KHmbRxplqjNLHrofn12KEZ0CpF56b7YFo9h7/yJj/88baogQ0SkRQzmyGqIMm5FpeVXN2fO2Cs3ZAjg5WXG1pEt6Bjmg8UP9MfXUwcgJsIX+To93v3tBAa/vVGWCmRQR0RaxGCOrK5Xzs3ZEV6uTSy91qEDMH48cNtt5m0c2ZRB7YOx5unBmHtnrEw4LGoCixrQQ975E/M3nZF/WBARaYXqtVmJ6qr+UL0eb6PcdJOyETVgPt2EXlEY16MFfjyQjHkbTyE+swizfjmOTzedwT0DW+Pega3MV42EiMhC2DNHViMtvzKY8+GHJzUfZydH3N4nCr8/NwzvTYxFq8qeug//OIVBszfi36sO42x6gdrNJCKqF4M5shrGTP3hvk0M5kSi4LNnzdsosqug7o4+UXLl68f/6I3YKD/o9BX4ZmcCRs3ZhEeW7sG20xkwiBXTRERWhMOsZDUu5hqDOfem3WDqVGU165o1wNix5m0c2Q0nRweM7RGBMd3DZZLhhZvP4vdjaVgflyq3tiFemDKglezN8/NwUbu5REQM5sh6XKzsmQvza0Iwd+KEEsi5uCgrWYmukpi3OaBtkNxOp+VjybbzWLX/As6mF+KNNXF457fjuDU2EncPaCl78Zo8z5OI6CoxmCOrG2aNaEow99NPyn7ECMDX18wtI3vXPtQHM8d3w8s3dcbq/Rfw1Y7zsqLE93sS5dYuxEv21N3WKwrhTXn/EhFdBQZzZHXDrGG+VxHM3XKLmVtFVMXbzRlTrmmFyQNaYu/5bHy9MwG/HEnBmfRCvPPrCbz32wmZ9kTMvbs+JgyervwVS0SWx980ZDVS83RNmzOXng5s26YcjxtngZYR1SSGVPu2DpTbG7d2xS+HL+KHvUnYFZ+Fzacy5Obh4oSRnUPl/LsRnULh0dTciUREV8BgjqxCgU4vN6HRw1Tr1gEVFUDPnkDLlpZpIFE9fNxdMKlftNwSMouwYl+SnFuXkFWEtYdT5CYDuy6hGNudgR0RmR+DObIKF3OL5d7H3bnxQ1MimBM4xEoqaxnkiX9d3xHPXtcBRy7kYc3hZKw9lIKk7GK5F5uocCKGYkd1CZU9dxF+Hmo3m4g0jsEcWYXELCWYiwrwbPyTFy8G7rhD6ZkjspJh2O5RfnJ75cbOOHwhVwnmDiuB3cbjaXITurbwxaguYRjVORTdI/1kZQoiosZgMEdWITG7SO6jA5rQS+HpCUycaP5GEZkpsOsR5S+3V27qjBOp+fjjWBr+OJaK/Yk5OJqcJzdRcSLQyxXXtgvC4PbBsvcuOrAJf9wQkd1hMEdWITGrMpjjhxfZeGDXOdxXbk+OaC/rEf91Ih0bj6fi75MZyCosxZpDKXITRGkxEdQNaheMge2CZLBHRFQbgzmyqmHWRvXMZWcreeUmTABefRVw5tuZtCXY202mMRFbWXkFDibmyJWwW09nyF6785lFOJ+ZIEuKCSKfXf82gejbKhD9WgciOtCDyYqJiMEcWdkwa2N65latAg4eBMrLgddft1zjiJqBi5OjKd2JWESRX1Imy4ltOa0EdydTC2Q+O7F9uytRPifM101e369VAHq2DECXCB+4OXOlLJG9YTBH2h1m/eILZX/33RZqFZG6KU/kwoguYfKxGIIViYr3xGfJfHZHLuTK3IzGVbKCi5MDukT4okeUn5yjFxvlj/ah3rLeLBHZLgZzpLqcolLklSg55qIaOswq6rBu3gw4OgL33WfZBhJZATFfTlSVEJtQXFqOg0k5MrjbHZ+NQ0k5yC4qw6GkXLkBytCsp6sTurXwQ9dIX3QJ95XBXocwb7i7sAePyFYwmCPVnU4rkPsWfu4NzzH3+efK/sYbgchIC7aOyDqJxMPXtA2Sm2AwGGTakwOJOTKwO5iUK3vvikrLZU+e2IxER13bEG90DveRwZ0YnhV7UX2Fc/CItIfBHFlNMNc+zKdhTygrqxpifeghC7aMSDtEECamKYhtXGwLea68woAz6QVyYcWxlHwcv5iHYyl5sgdP/LsTm3HlrDFpd7sQb7mJ4Vmx4KJdqDdaBXrC2clRxZ+OiC6HwRyp7pQxmAvxbtgTfv4ZSE0FQkOBm2+2bOOINEzMlesY5iM3I9GDl5avQ1xKHo6n5MvgTgR5YmFFfole9uyJrToxF69VkJf8N9ou1Autg7zkY5E6JcTbjYmOiVTGYI6sJpgT83gapFMnYMoUoG1bwJV5t4ga24MX5usuN1En1kinL0d8RpHsyRM9dsb92fRCFJeVm3rycLTm/UR5spaBnjKwaxnohZaBHjLQE6XNxBxYrq4lsjwGc6S6M8ZgLrSBwVzXrsCXX1q2UUR2RgRdncJ95FZdRYUBybnFsufOGOQliPx3WYVIzimBTl8h/yAz/lFWnZh+J3ruWvh7INLfAy383WUtWuPjCH93BHm5cp4e0VViMEeqyizQ4UKOkjC4Q0PnzBFRsxFDqKJmstiGdQyp8TWR6Dg5p1hJbpxVhITMQiRkiUTHRXIvFl+IIV2x1R66rd6zJ4K7CD8l0BO580J93BDq6y73ogcxxMeNq2+JLoPBHKlKpFYQxERrPw+XK1x8EHjvPSVBcPv2zdNAIrpsomNl7pzXJV8Tc/MyC0tlsCd68JR9sezlMz4WQZ7o2TuXUSi3y/F1d5YBnhLsKYGeCPLEOdG7J1K3iH2Al6tsF5E9YTBHqjqQoARzPaMDrnzxf/8L/PSTUvHhm28s3zgiajIxdCrKlYmtR1Td14h5eqm5Su98Sq7YSpCWV2LqzUvLL5GJkUv1FTIXZV5J5by9KxB/GBoDPBnkeRuP3WqcF4Gfv4eLzMXHoV7SMgZzpCpRf1Lo1dL/8hf+/rsSyIkkwSzdRWQz8/TEQgmx1Uf08OUV62VgVz3ASxNbfgnS83WyOobYsotKUWEAcovL5Hb2Cr19Rs6ODvD3dIGvh4sMBP2Ne09Xec74WDlXeSyud3eRw8QMBEltDOZINSVl5bI8kdC75WV65nQ64MknlWOxF6tZicguiEBJBE5iu9K8WpFXTwRxYi5uZmWAJ/cF4rjqnPG8qD5TVm6AvsKAjIJSuTWWSNvi7eYsy6+Jvbe7M3zkY+XY281FOTaeM11Teb7yHINCuhoM5kg1289mygnSIuu8yEBfr//8RynfFRYGzJzZnE0kIo3l1TMOoXZowPWi10+kXREBYE6R0psnt8rjnOLSynN6peygPKd8TRyLXkARDIokzGK7GiJVn5ers6zs4eXmDA8XsXeCh6szPF2c4OnmJIeDTddU7sU5UTlHfk1c76Ici83NxQnuLo5wdWKgaOsYzJFq/jiWKvejuoTW/4tm7Vrg3XeV408+Afz8mrGFRGTLxO8dJRBylitpG0OkbCks1aNAp5fJlsUmjgvkcZnpvLKv/Vi5Tl6vU+pSi8AwX3xNPM7XmfXnFIGiGNIWwZ+7s6NcGWwM9NydK/fysXIsrjUey71zra/Lc+IeSqCoBIxOcHUWz3U07Vk1pPkwmCNVFOr0+OlAsjw2Fg6vkwjghKefBiZMaKbWERFdOWWLGFoVW8RV/I0pgsKCUj2KS8vl70UxWiF6C8WxPCcel+rlvqjasfF6cW1RteNCnXJNUVk5DIbK72GA/JrYmpMIIpXATgn0ROBnDABFsHd7nyjcO7B1s7bJVllFMLd0ezzmbzqL9AKdLPY845au6Bld/4T4tYdS8P6GE7KodJsgL7xyU2eM6Bxao+t87oaT+HZ3ouwK79s6AG+O7442wZcunyd1fC/+35To5f+ToR1q5q6qYfly4J13gFdeac7mERE1W1AoFlKIzZzE52BpeQVKyiqgKyuX+xK92Fcey305SvTKsekaea76NdWvrflY3F+sNBbpZYx7MW/RSBwq11fU2cYhl/vd38yyvv4aWZ99Dn1GBtw6d0b4a6/Co0ePeq/P+/VXpH/wIcouXIBrq1YIfeF5eA8bBrsN5n4+mIw31xzDmxO6oVe0Pz7feg73frYTG18YLpe017b3fBb++d1+vHRDJzk89+OBZDzy5R6seXqIKXP5p5vOYvG2eLw/MVYWnX5//Unc+/lObPjXMCaetALnMwsxZ8NJefzQ4DY16zpeuADMn6+kIXF2Bjw8uHqViKgJQ8iiR0yWU7tSDk8zEsGcEtiVmwI8Y7Angj8RNCr7CrQOrn8Vc3PKW7cOabPfRvj06fCI7YGsJUuRMPVhtPtlHZyDgi65vmjfflx4/gWEPvcveA8fjtw1a5D41NNos+IHuHfsaJ/B3KIt53BX/2hM6hstH/9vfHdsPJ6GZXsS8cTwSxPDfr41XmYhf3RYO/n4+dGdsPlUBpZsj8dbE7rLv0ZEQPj0yPYY3TVcXjPnzlj0ffN3rI9LxS2xLaCWvJIy5KdmwiFbWcEpVfaDm7rDQ0JR4Vk5dyMvD04ZGTD9nWMwyJ9PHop/NKFhqPBSSmA5FOTDOTVF+VpFtesrD/XiWl8/iDOO4toLF6ruW/mXlPFqfWg49P7K6lLHwgK4JJyv1dYK08OysAiUBwXLZzoWFcL1zGlT+0zXV36b0pBQ7C/zwMd/noa+oACTXHNxl84H+G47cPo08PffwB9/iHEHIDwceOIJ87zwRETUbItQxNw8sWlF5hdL4D9xIvxvv00+Dp8xHQWbNiFnxUoEP/LwJddnfbkU3oMHI+ihh+Tj0GeeQeG2bcj++htEzJgOuwvmRKR+5EIunhiuBGaC6KUZ1D4Y+87XXfpl//lsPDSkbY1zQzuGYP3Ri/I4MatY5h0S9zAS3ddi2Hbf+ew6gzmdTic3o/z8fFjCVzvOI+3NdzH9jwX1XnPfxBnY1LaPPJ50cD3e+fXDeq99dPy/8Vuna+XxuLhNmPdz5UKBOvxr7HNY1W2kPL7u1E4sWln/qtBXRz+Br3uNkcfXxh/AN9+/Vu+1M0c8hM/6K3PZel04jlVfvVDvte8Pnox5g+6Wxzc55+Od2Q8Bs+u4cOhQoFeveu9DRER0Ofn5+cjLyzM9dnNzk1tthtJSlBw9WiNoc3B0hNfAgSg+cKDOexcfOIig+++rcc570GDki84IlagazIkEj6JLtvZwqijMLIo610XMqwv2dq11vSsyCpRgLL2gxHSP2vcUz63LrFmzMGPGDFiaSEzp4OKMYueqthlMI4zKgYurM7wqs5E7u7miwLVmN3TV9YCbu5K8UnD1dEOee81C9YZqK0TdPI0FrQEPb3fkePpWXVf5vY3Xu3p7ypI5go+vJzK9A+q9r7ufjyyYLQQUeiHdN6jO+4ojV38/XNsuCKNjwnC3TyHwbTTg6gpERQHR0UC/fsCNNwIqdVMTEZFtiImJqfH49ddfx/Tpl/aa6bNzZFUhp1rDqU7BQdCdO1fnvcW8Oqeg4EuuF+fVovowqzWYNm0annvuOdPjCxcuXPJGMIdHhrYDhn4MQGx1W1Tj0Q0A6u9tq9lnN1r0k9V7regAq+oEux5Y8u96rxUz1KpmqV0HLPhXvde+WLkpRgLzHqv32qcrN5OEhHqvJSIiaqq4uDhERkaaHtfVK2dLVA3mAjxd5fi6sVfNSPSg1e5ZMxLna2fpTi8oNfXuhXi7m+4hCjBXv2dMRFVvVHW1u1+rd80SERGRtvj4+MDXt+7P/OqcA/wBJyeUZ2bWOF+ekQnn4OC6nxMcjPLMjAZf3xxUzegn8s50i/TDttMZNXLubDudid6t6k5N0qtVQI3rhS2n0tG7lTIUGB3ogRAfN3kPI5Gw8UBijukaIiIiIgdXV7h37YrC7TtM5wwVFSjcsQMePXvW+RyPnrE1rhfEAoj6rm8Oqqdnnjq4jcwH98PeJJxOy8erq4+gqFSPiX2U1a3PfX8Ab/963HT9g4NaY9PJdCz8+yxOpxXIfHKHL+TivsrEg2Ku2YOD2mDexlPYEJeK4xfz8Nyyg3IOmJirRURERGQkFjPkLF+OnFWroTtzBhenz0BFcTH8b1MW9yW//DLS3p9juj7wnntRsGULMj9fDN3Zs0if9xGKjx5FwOR/wG7nzI2LbSGLHougTKxC7dLCF0se7C9714QLOcU1Sj31aRWID+7qhffXn8C7v52QeWoW3NPXlGNOeGxYW5kBe9rKwzIdSL/WAVjyQH/mmCMiIqIafMeMgT4rG+nzPkR5egbcunRBy4ULTMOmZckpYomr6XrP3r0Q+d67SP9/HyB97ly4tm6F6I/mqZZjTnAwGBOXkUlSUhKio6ORmJiIKLHSkoiIiKxekp1+fqs+zEpERERETcdgjoiIiEjDGMwRERERaRiDOSIiIiINYzBHREREpGEM5oiIiIg0jMEcERERkYYxmCMiIiLSMAZzRERERBqmejkva1RRUSH3KSkpajeFiIiIGiil8nPb+DluLxjM1SE1NVXu+/fvr3ZTiIiIqAmf4y1btoS9YG3WOuj1euzfvx9hYWFwdLTvkej8/HzExMQgLi4OPj4+sGd8LWri61ETX48qfC1q4uvRfK9HRUWFDOR69eoFZ2f76a9iMEeXlZeXBz8/P+Tm5sLX1xf2jK9FTXw9auLrUYWvRU18PWri62F+9t3tRERERKRxDOaIiIiINIzBHF2Wm5sbXn/9dbm3d3wtauLrURNfjyp8LWri61ETXw/z45w5IiIiIg1jzxwRERGRhjGYIyIiItIwBnNEREREGsZgjoiIiEjDGMzZsb///hvjxo1DixYt4ODggNWrV1/xOX/99Rd69+4tVyG1b98eX3zxBez19RCvhbiu9nbx4kVo3axZs9CvXz+ZnT00NBTjx4/HiRMnrvi85cuXo3PnznB3d0f37t2xbt062IKmvB7i30bt94Z4XbTuk08+QY8ePWSyV7ENHDgQv/zyi12+L5ryetjq+6Ius2fPlj/fs88+a7fvj+bCYM6OFRYWIjY2Fh9//HGDrj937hzGjh2LESNG4MCBA/If6NSpU/Hbb7/BHl8PI/GhLoo7GzfxYa91mzZtwpNPPokdO3Zgw4YNKCsrw+jRo+VrVJ9t27bh7rvvxkMPPSTL4YmAR2xHjhyBPb4egvhwr/7eOH/+PLQuKipKfkjv3bsXe/bswciRI3Hrrbfi6NGjdve+aMrrYavvi9p2796N+fPny0D3cmz9/dFsRGoSIvFWWLVq1WWveemllwxdu3atce7OO+803HDDDQZ7fD3+/PNPeV12drbB1qWlpcmfddOmTfVeM2nSJMPYsWNrnBswYIDh0UcfNdjj67F48WKDn5+fwR4EBAQYFi1aZLD390VDXg97eF/k5+cbOnToYNiwYYNh2LBhhmeeeabea+3x/WEJ7JmjBtu+fTuuu+66GuduuOEGed6e9ezZExEREbj++uuxdetW2CJRQ1EIDAys9xp7en805PUQCgoK0KpVK0RHR1+xt0aLysvL8d1338keSjG8aO/vi4a8HvbwvhC92GIUp/b/d3t/f1iSs0XvTjZFzAULCwurcU48FkWTi4uL4eHhAXsiArhPP/0Uffv2hU6nw6JFizB8+HDs3LlTziu0FRUVFXJIfdCgQejWrVuj3x+2MIewKa9Hp06d8Pnnn8thJhH8vffee7j22mvlB7cYmtOyw4cPy2ClpKQE3t7eWLVqFWJiYuz2fdGY18OW3xeCCGb37dsnh1kbwh7eH82BwRxRE4lfymIzEr+Qz5w5g7lz5+LLL7+ELf2VLeavbNmyRe2maOr1EB/u1XtnxPujS5cuch7RzJkzoWXifS/mzYpg5IcffsB9990n5xXWF8DYusa8Hrb8vkhMTMQzzzwj55Xa6qIOa8VgjhosPDwcqampNc6Jx2Iyr731ytWnf//+NhX0PPXUU1izZo1c6XulXoP63h/ivD2+HrW5uLigV69eOH36NLTO1dVVrmYX+vTpI3thPvjgAxmQ2OP7ojGvhy2/L8QikLS0tBojE2LoWfx7+eijj+QIhpOTk929P5oD58xRg4m/Jv/4448a58RfYJebG2JvxF/nYvhV68QaEBG4iOGijRs3ok2bNnb9/mjK61Gb+FATw3G28P6oa+hZfFDb2/uiKa+HLb8vRo0aJX8W8XvQuIlpKJMnT5bHtQM5e31/WIRFllWQZlYc7d+/X27irTBnzhx5fP78efn1V155xXDPPfeYrj979qzB09PT8OKLLxqOHTtm+Pjjjw1OTk6GX3/91WCPr8fcuXMNq1evNpw6dcpw+PBhuWLL0dHR8Pvvvxu07vHHH5cr7v766y9DSkqKaSsqKjJdI14L8ZoYbd261eDs7Gx477335Pvj9ddfN7i4uMjXxh5fjxkzZhh+++03w5kzZwx79+413HXXXQZ3d3fD0aNHDVomfkaxivfcuXOGQ4cOyccODg6G9evX2937oimvh62+L+pTezWrvb0/mguDOTtmTK1Re7vvvvvk18Ve/EOs/ZyePXsaXF1dDW3btpXL7O319Xj77bcN7dq1k7+IAwMDDcOHDzds3LjRYAvqeh3EVv3/t3gtjK+N0bJlywwdO3aU7w+Rxmbt2rUGe309nn32WUPLli3laxEWFmYYM2aMYd++fQate/DBBw2tWrWSP1dISIhh1KhRpsDF3t4XTXk9bPV90dBgzt7eH83FQfzHMn1+RERERGRpnDNHREREpGEM5oiIiIg0jMEcERERkYYxmCMiIiLSMAZzRERERBrGYI6IiIhIwxjMEREREWkYgzkiIiIiDWMwR0Sa1rp1a/y///f/LPo9vvjiCzg4OMjt2WefbfDzpk+fbnqepdtIRPaLwRwRUQP4+voiJSUFM2fObPBzXnjhBfmcqKgoi7aNiOybs9oNICLSAtG7Fh4e3qjneHt7y83Jycli7SIiYs8cEaliwYIFaNGiBSoqKmqcv/XWW/Hggw/K4zNnzsjHYWFhMijq168ffv/993rvGR8fL4OuAwcOmM7l5OTIc3/99Zfp3JEjR3DTTTfJe4p733PPPcjIyGhU+48fPw5PT0988803pnPLli2Dh4cH4uLiGnUvIqKrwWCOiFQxceJEZGZm4s8//zSdy8rKwq+//orJkyfLxwUFBRgzZgz++OMP7N+/HzfeeCPGjRuHhISEJn9fEdyNHDkSvXr1wp49e+T3S01NxaRJkxp1n86dO+O9997DE088IduTlJSExx57DG+//TZiYmKa3D4iosbiMCsRqSIgIED2jomerVGjRslzP/zwA4KDgzFixAj5ODY2Vm5GYr7aqlWr8NNPP+Gpp55q0vf96KOPZCD31ltvmc59/vnniI6OxsmTJ9GxY8cG30sEcuvWrcOUKVPg6uoqew6ffvrpJrWLiKip2DNHRKoRPXArVqyATqeTj7/++mvcddddcHR0NPXMiUUEXbp0gb+/vxwWPXbs2FX1zB08eFD2Bhrns4lN9LIZh3UbSwSChw4dwr59+0yrXomImhN75ohINWLI1GAwYO3atbJXa/PmzZg7d67p6yKQ27BhgxzObN++vZyPdscdd6C0tLTO+xmDQHFPo7KyshrXiABRfF8xHFpbREREk4LDwsJC+b3FytWm3IOI6GowmCMi1bi7u+O2226TPXKnT59Gp06d0Lt3b9PXt27divvvvx8TJkwwBWJikUN9QkJC5F4EVWIoVai+GEIQ9xe9gSI/nbPz1f0KFHP8RPteffVV+T1FT6PooRNBJxFRc+EwKxGpSgRAomdODFcaFz4YdejQAStXrpQBmegB+8c//nHJ6tfqRBB1zTXXYPbs2XI4dtOmTXjttddqXPPkk0/KIOzuu+/G7t275dDqb7/9hgceeADl5eWNartY8CDm2onvMWfOHPl80ZtIRNScGMwRkarEytLAwECcOHFCBmvViQBJLJS49tpr5dDoDTfcUKPnri4iKNTr9ejTp4+s1vDmm2/W+LpIhyJ6/ETgNXr0aHTv3l1eJ+bkGYdpG2Lp0qVy8cOXX34pe/i8vLzw1VdfYeHChfjll18a+SoQETWdg6H65BIiIrqEWNggAj6R1qQpxJCueH5jSoERETUUe+aIiBogNzdXrnx9+eWXG/wckf5EPOdqVt8SEV0Je+aIiK4gPz9fJhYWxHCsyIXXEGJuntiMizP8/Pws2k4isk8M5oiIiIg0jMOsRERERBrGYI6IiIhIwxjMEREREWkYgzkiIiIiDWMwR0RERKRhDOaIiIiINIzBHBEREZGGMZgjIiIignb9fxdWoAqE3G6gAAAAAElFTkSuQmCC", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "stochast = Stochast()\n", "stochast.distribution = DistributionType.frechet\n", "stochast.scale = 0.5\n", "stochast.shift = 1.0\n", "stochast.shape = 2.0\n", "\n", "stochast.print()\n", "stochast.plot()" ] }, { "cell_type": "markdown", "id": "b14743d6", "metadata": {}, "source": [ "### Generalized extreme value distribution" ] }, { "cell_type": "code", "execution_count": 66, "id": "1cc254af", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Variable:\n", " distribution = generalized_extreme_value\n", "Definition:\n", " scale = 1.0\n", " shift = 5.0\n", " shape = -0.5\n", "Derived values:\n", " mean = 5.2275\n", " deviation = 0.9265\n", " variation = 0.1772\n" ] }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "stochast = Stochast()\n", "stochast.distribution = DistributionType.generalized_extreme_value\n", "stochast.scale = 1.0\n", "stochast.shift = 5.0\n", "stochast.shape = -0.5\n", "\n", "stochast.print()\n", "stochast.plot()" ] }, { "cell_type": "markdown", "id": "c3e429fd", "metadata": {}, "source": [ "### Rayleigh distribution" ] }, { "cell_type": "code", "execution_count": 67, "id": "c50447e1", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Variable:\n", " distribution = rayleigh\n", "Definition:\n", " scale = 0.5\n", " shift = 1.0\n", "Derived values:\n", " mean = 1.6267\n", " deviation = 0.3276\n", " variation = 0.2014\n" ] }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "stochast = Stochast()\n", "stochast.distribution = DistributionType.rayleigh\n", "stochast.scale = 0.5\n", "stochast.shift = 1.0\n", "\n", "stochast.print()\n", "stochast.plot()" ] }, { "cell_type": "markdown", "id": "fce30e72", "metadata": {}, "source": [ "### Rayleigh N distribution" ] }, { "cell_type": "code", "execution_count": 68, "id": "062819aa", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Variable:\n", " distribution = rayleigh_n\n", "Definition:\n", " scale = 1.0\n", " shift = 0.0\n", " shape = 50.0\n", "Derived values:\n", " mean = 2.9718\n", " deviation = 0.4078\n", " variation = 0.1372\n" ] }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "stochast = Stochast()\n", "stochast.distribution = DistributionType.rayleigh_n\n", "stochast.scale = 1.0\n", "stochast.shift = 0.0\n", "stochast.shape = 50.0\n", "\n", "stochast.print()\n", "stochast.plot()" ] }, { "cell_type": "markdown", "id": "35810af7", "metadata": {}, "source": [ "### Pareto distribution" ] }, { "cell_type": "code", "execution_count": 69, "id": "6810bbd1", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Variable:\n", " distribution = pareto\n", "Definition:\n", " scale = 1.0\n", " shape = 3.0\n", "Derived values:\n", " mean = 1.5\n", " deviation = 0.866\n", " variation = 0.5774\n" ] }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "stochast = Stochast()\n", "stochast.distribution = DistributionType.pareto\n", "stochast.scale = 1.0\n", "stochast.shape = 3.0\n", "\n", "stochast.print()\n", "stochast.plot()" ] }, { "cell_type": "markdown", "id": "f46dc5c9", "metadata": {}, "source": [ "### Generalized Pareto distribution" ] }, { "cell_type": "code", "execution_count": 70, "id": "dc9b2818", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Variable:\n", " distribution = generalized_pareto\n", "Definition:\n", " scale = 1.0\n", " shift = 1.0\n", " shape = 0.1\n", "Derived values:\n", " mean = 1.909\n", " deviation = 0.8294\n", " variation = 0.4345\n" ] }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "stochast = Stochast()\n", "stochast.distribution = DistributionType.generalized_pareto\n", "stochast.shape = 0.1\n", "stochast.scale = 1.0\n", "stochast.shift = 1.0\n", "\n", "stochast.print()\n", "stochast.plot()" ] }, { "cell_type": "markdown", "id": "5fc1bb0e", "metadata": {}, "source": [ "### Student's t-distribution" ] }, { "cell_type": "code", "execution_count": 71, "id": "16bd4bf4", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Variable:\n", " distribution = student_t\n", "Definition:\n", " location = 0.0\n", " scale = 1.0\n", " observations = 5\n", "Derived values:\n", " mean = 0.0\n", " deviation = 1.4142\n", " variation = 0.0\n" ] }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "stochast = Stochast()\n", "stochast.distribution = DistributionType.student_t\n", "stochast.location = 0.0\n", "stochast.scale = 1.0\n", "stochast.observations = 5\n", "\n", "stochast.print()\n", "stochast.plot()" ] }, { "cell_type": "markdown", "id": "8cac185c", "metadata": {}, "source": [ "### Gamma distribution" ] }, { "cell_type": "code", "execution_count": 72, "id": "af3de5bf", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Variable:\n", " distribution = gamma\n", "Definition:\n", " scale = 2.0\n", " shape = 4.0\n", "Derived values:\n", " mean = 8.0\n", " deviation = 4.0\n", " variation = 0.5\n" ] }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAnMAAAGwCAYAAADCJOOJAAAAOnRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjEwLjAsIGh0dHBzOi8vbWF0cGxvdGxpYi5vcmcvlHJYcgAAAAlwSFlzAAAPYQAAD2EBqD+naQAAdHlJREFUeJzt3Qd4U+UaB/B/99570RbKalllLxkOUJSpICqIghtwe3FcFVzgwutWcIEDERkOhqIoyJS9CoUChbZ07z1zn+87TdpCC21pczL+v+c55iQ5OfkaQ/LmG+9rodFoNCAiIiIio2SpdgOIiIiIqPkYzBEREREZMQZzREREREaMwRwRERGREWMwR0RERGTEGMwRERERGTEGc0RERERGzFrtBhiiiooK7N+/H35+frC0ZLxLRERkDKqqqpCamoro6GhYW5tPiGM+f2kTiECub9++ajeDiIiImuHff/9Fnz59YC4YzNVD9Mhp3wwBAQFqN4eIiIgaITk5WXbGaL/HzQWDuXpoh1ZFIBccHKx2c4iIiKgJLM1sipR5/bVEREREJobBHBEREZERYzBHREREZMQYzBEREREZMQZzREREREaMwRwRERGREWMwR0RERGTEGMwRERERGTEGc0RERERGjMEcERERkRFjMEdERERmqWj3biQ88CBOXjUExzp1Rv4ff1z2MYW7/sXpCRNwvGs3xI0YiZxVq6E2BnNERERklqqKi2HXqSP8Xni+UceXJSYi4YEH4NS3H8LXrIbnnXci+fnnUfDPVqjJWtVnJyKDUFpRiZyicjjZWcPJ1goWFhZqN4mITEFZGVBaClRWAhUVNZuLC+Dm1mpPm5+fj7y8PN11Ozs7uV3IecgQuQlJjThvzvffwzY4CH5Pz1HO264divftRdaSJXC+ajDUwmCOyEwlZhfh6x1n8efxNMSlFehu93Wxw6AIb0zsHYwBbb0Y2BEZKo1GCZRKSoDiYuUyPLzm/gMHgMTEmvsuvPzvfwErK+XYzz8Htm4FysuVAOzCy19+UQIw4YUXgO++q/9YEbSdOgWEhCjHPv008M47F7f91VeBZ59ttZcmMjKyzvUXX3wRc+fOveLzFh04AMcBA+rc5jRoMFLnz4eaGMwRmZniskos3BiLL7bFo7JKo7tdxGziuyEtvxSr9yfJrWcbd8wdE4Vuwe6qtpnI5AIwe/ua27ZsAeLjgYICZcvPr9mvqlICLa277wZ+/73u/bX/EYtgSvsD7JVXgJUrG27Lk08CTk7K/j//AEuWNHysCAC1wVxmphKwNUS0QUsbLNZmY1PTxlYSExODoKAg3fX6euWaozI9A9Ze3nVus/b2QlVBAapKSmBZ+/+rHjGYIzIjCVlFmLFkN06kKj1xA9t54Y5+oejX1hNeTrYoKqvEocRcrD18Hiv3JmHfuRyM/2g7Hru2PR4aFgFLS/bSEemIQConB0hLUwKr3r1r7hM9NYcPA9nZyiaO0+6L4cX09JpjRY/RX3/V/xzW1sBnn9UEP+I8589ffJy438FB6SHTBi4dOgB9+iiBo7hPbNp9cVk7oJo4EejcGbC1VYIt7aV2XxvICY89BtxxR/3Hivb6+dUcKwLKl15SbheBnaV+puq7uLjA1dUV5oLBHJGZOJ6ShzsW70JmYZkcSl1wc1dc3cmv7nCBnTUGtPOS26zh7fHy2hisPZSMt34/gWMp+Vg4qTvsrOv5pU1kakGaCNCyssR4Xc3tzzwD7Nmj3Cc2EZBpe6F8fJTbtDZubDhAEwGd6KHTBlN9+yrBjgiYxObsrGza/drHiiDx+edr7nN0VIKz+nq7XntN2RrjxhuVrTEiIpStMVqoR8xQWPl4oyIzo85tFRmZsHR2Vq1XTmAwR2QGzmQUYspn/8pALirQFZ9P6wN/t0t/8Ij7P7gtGkM7+OC51YdlUJdVUIbP7+oNR1t+dJCJWLEC2L8fOH0aSEhQ5piJni8xSf/CAO3ff4FNmy4+h+hp8/RUgkBtz9P99wOjRwMeHoC7u3Kp3cT12hYsaHx7O3Vq7l9KLcCxRw8UbN5S57bC7dvh0KMH1MRPZCITl1dSjhlf7UZGQSk6B7jiu3v6w83RplGPFYsfJvUOQZC7A+7/ei92nM7Eg9/sw+I7e8PWmpmNyICJwOrsWeDYMWU7cUIJ2MRw6I4dNcd98kn9AZoIysTwoQjqRK+ZdnjxrrsAX9+azdu7/t6nW29txT+OWkpVYSHKzp2rk3qk5NgxWLm5wSYwEGlvL0RFWioCX39d3u8+eTKyvv0OqW++Cfebb0bhzp3I27ABIeJ9pCIGc0QmTKPR4IkfDuJ0RiEC3OyxdHrfRgdytYnVrUum98WUz3Zh84l0PLniIN6d3IMrXckwgjbRoxYaWnPb9OnA998rk/brU1SkDE8KY8cqc8XEKtCwMEBMmg8OBvz9a4I4rZtuasU/hNRQfOQozk2bpruetkAJ2tzGjUPggvmoSE9H+flk3f22wcEycEtdsADZS7+Gtb8/Al5+WdW0JAKDOSITtmJvIjbGpMpetE+n9oKPS/Pnr/QK9cAnU3vhniW78fPB87KX78Fh7Vq0vUSXJFaBHjmipNwQmxgePXhQCdrEClAxd0wQE+3FbaJnTSwCEMGaGJ5s104J2sT8Mq2HH1btzyH1OfXri87HjzV4vwjo6ntM29WrYEgYzBGZqPM5xXj5lxi5/8R1HVokvYiYPydSlTy3+gje/O24nH83pINPC7SW6AJi0r+g7f2dMwdYuFAZ9ryQmHguhlCjomoWKvznP0rgdmHvGpEJ4rucyES98NMR5JdWILqNO+65qm2Lnff2vm1wKCEXy/ck4LHlB/DbY0Pg7WxaK9ZIBSLh7O7dwObNwPbtwM6dymX79sr9It2FCOS8vAAx2Tw6WrkUW8eOdYO2ti33ficyBgzmiEzQ1pMZ+ONYGqwtLfDmLd1g1YL54cQ8uXljo3AgIQexqfl4ZtVhLJrai/PnqOnOnFFWk4oUHiJpbWFh3ftFQKcN5u68E7jlFqWyAN9rRHUwmCMyMaKqwytrleHVKf1DEeFbK9lnC7G3scI7t/bA2A+3yjl5Ym6eWPVKdEki5YfoQROrQAUx500Mn2qJXrdhw4DBg4H+/ZXeNy2xapSI6sXcAkQmZuXeRBxPyYebgw0evba6V6MVRAa64vHrOsr9l36JQUpuSas9FxnxSlORBkTUAO3ZU1kpWjuFw9ChwJgxSu1OsaBB5HT78Ufg0UeVYM7EEs4StRb2zBGZkIrKKrz/10m5P2t4BNwdbVv1+e4b0ha/x6Rg/7kcWS3iw9t7turzkREQFRFEwXYxfLpqFZBck9ZBDo/Wyukle+J++kmVZhKZEvbMEZkQkTIkIatY1lkVQ6ytTczFe2VcF4gpeaJCxJYTtepNkvkuZBCVDz78UAnkRH3MSZOUIu4pKUqdUSJqUQzmiExortyHf8XJfbF61cFWPzVUowLdMG1gmG4FbUl5da1KMn2issLTTwMjR9akEhFpQkQS1rvvBtauVeqXLl+uLGDQzpUjohbFYVYiE7ExJgWn0gvlXLkp/dvo9bkfv66D7JmLzyzCl9vimUzYlIni88uWKT1tIpWI1r59QK9eyv7776vWPCJzxJ45IhPx1fZ4eTm1fyhc7JtesutKiOebc71SAPyjv+KQVVim1+cnPfXCid42sYhh1iwlkBOVFsSQqli00KWL2i0kMlsM5ohMwPGUPOw8nSXnsN2h5145rfHRQYgMcJWJit/7U1mEQSZEVFj46iugpATo1k1ZgSpSjfz8M3DzzVx5SqQiBnNEJmDpjrPycmSUHwLcqutT6pmlpQWeHdVZ7n+z8yzOZFyQAJaMh5jn9uKLwFtv1dx2/fXA7NnAtm1KGhGRPoRz4IgMAoM5IiOXW1yO1fuS5P60AcpCBLUMbu+NYR19UFGlwcKNJ1RtCzWz923mTKBNG+Cll4A33wTKqofMxZDqe+8BAweyAgORgWEwR2Tkfj10HsXllejg54y+4Z5qNwf/GdlJ166TqflqN4ca4+hRYPJkpXTWRx8pQ6m9ewMffKAEcURk0BjMERm5H/cmyktRTssQ6qOKyhDXR/nLTBXvcu6c4RMBW9euSvoQUbFBDKdu2gT8+y8wcSKDOSIjwGCOyIjFpeXL6gti4cPYHkEwFI9UlxFbezgZJ9g7Z3i0OeGEa64REx6VRQxiLtz69cDw4RxKJTIiDOaIjNiPe5W5csM7+sLHxXBWE3YOcMUNXdg7Z5A54sTChQceqLmtc2dlrpxIL9K9u5qtI6JmYjBHZMQVH1bvV4ZYb+kVDEOj7Z1bx9459YlFDP/7HxARAbz7rlJSKyGh5n6x4IGIjBaDOSIjtSc+C6l5pXC1t8bVnQwvRUQn/5reuU83n1a7OeZJvPiikH1UFPDYY0B2tjI/bsMGICRE7dYRUQthMEdkpMR8NGFElD9srQ3zn/IDQ5WyXj8dSEJybrHazTEvSUnATTcB48YBcXGAnx+weDGwfz9w3XVqt46IWpBhfgMQ0WWHWNcfSZH7N3YLgKHqHuKO/m09Zd65L7aeUbs55sXWFtixA7CxAZ55Bjh5ErjnHq5OJTJBDOaIjNDu+Cyk5ytDrIPaecOQ3T9E6Z37btc5meCYWlFsbM2+jw/wzTfAoUPAa68BLi5qtoyIWhGDOSIjJBYVGPoQq5aoCNHRzwWFZZX4dpdSdoxaWHEx8MQTysrU1atrbh81CuikJHEmItNl2N8CRFTvEOu6w4Y/xKolEhnfN6St3P9yWzxKyivVbpJp2bkTiI4GFi5UFjyIoVUiMisM5oiMzN6z2cgoMI4hVq3R3QMR4GYvh4bFYghqoXQjTz8NDBqkDK8GBAC//gq88YbaLSMiPbOGypbuiJdpC9ILSmWi0XljotAjxL3eY0WuqoW/n8DhpFwk5RTj+ZsiMWNw+BWdk8jY/Hk8VV5e09nP4IdYtUQ77xoYhvnrj8veOUMpPWa0xOpUUUt1717l+pQpwHvvAR4eareMiFSg6jfBLwfP45Vfj8nkomtnD0ZkgAvu/HyX7HWoT3FZJdp4OWLODZ0azHbf1HMSGZtNx9LkpSHmlruUW/uEwN7GEsdT8vHvmSy1m2PcjhxRAjlPT2DVKuDrrxnIEZkxVYO5z7aeweS+IfJXens/F7w6riscbK3ww55amckvSHPw7KjOGNM9ELZWli1yTiJjci6zCCfTCmQt1iEdfGBM3B1tMT5aqR+7ZEe82s0xbiJ33PvvK7VUx49XuzVEZK7BXFlFFY4k5WJQRM2cH0tLC3l939kcvZ6ztLQUeXl5ui0/n6WHyDBtqh5i7RPmATcHGxibaQPD5OVvR1NxPodJhBtN5Ii79lolEbDWrFms4kBE6gZz2UVlclWet3Pd4VIfZzs5102f55w/fz7c3Nx0W2RkZLOen6i1/XlcGWK9ppMfjJEo8dUv3FP+O2WakkYSixr69AH+/BOYPVvt1hCRATKO2dOt7JlnnkFubq5ui4mJUbtJRBcpKK3ArtPKXLOrOxvXfLnaxEIIYdm/CUxTcilVVcBLLwGjRwO5ucDAgcCHH6rdKiIyQKoFcx6OtnLez4ULE0QPmuhJ0+c57ezs4OrqqttcmCmdDNDWkxkoq6xCmJcj2no7wVhdF+mHQDd7ZBWW4ddDSvJjuoCY6iHmwr34onL9oYeAv/5S0o8QERlKMCdSFXQJcsP2uAzdbVVVGmyPy0TPUHeDOSeRodh8Il1eDuvoa9RpPaytLHFH/1C5/81ODrVeJDkZuOoq4OefxS9N4IsvlB45UWuViMjQhlnvGRyOZbsT8OPeRMSl5eO5NUdQVFaBib2USb2PLz+A1zccr7PA4ej5XLmVV1YhNa9E7sdnFDb6nETGalv1j5QhHYwjUfCliNXm1pYWOJCQg5jzeWo3x7A4OgKVlYCvL7B5M3D33Wq3iIgMnLXaWeHFUMs7G0/IzPCdA12xZHpfXQ45kRi4dg+ECN5ufG+r7vqiLaflJiZUL79/QKPOSWSsKUnOZRXJAKhvuBeMnfj3ODLKH2sPJ2PZv+fw8rguajfJcLi5AWvXKnPmwpT5hUREl2Kh0YhiflRbYmIiQkJCkJCQgODgYLWbQ4Tvdp3Ds6sPo2+YJ354QPnhYgpzAKd8vgsudtbY9dw1cLRVvSCNehYvBgoLgUcfVbslREYt0Uy/v7malciIhlhr51A0dgPbeaGNpyPySyvw60EzXgixYAFw333A448De/ao3RoiMkIM5ogMnMjJtu2UEswNbm/8Q6y1E3rf1reN3P/u33MwO2JQ5OmnRW4k5bq47NVL7VYRkRFiMEdk4MQCgZyicjjbWaN7sGmtyr6lV7B5LoQQCxwefBB4/XXl+ptvAq++ChjxKmUiUg+DOSIDt7V6iLV/Wy+Z1sOUaBdCCGIhhFkoLwemTAE+/VQJ3sR8uSefVLtVRGTETOubgcik58uZzhBrbdqh1jX7k2QaIZO3ahXw/feAjY1yec89areIiIycGS8fIzJ8Ip/i3rPZcn9gO9NZ/FDfQgiRemXd4RQ59GrSbr0VOHkSiI4GbrxR7dYQkQlgzxyRATuclIvi8kq4O9qgva8zTJFYCDGxOoD7cW8CTFJFBVBcXHP9v/9lIEdELYbBHJEB+/dMlrzsE+Ypgx5TNaFXsJw+tvN0lkyQbHKLHaZNA0aNUnLJERG1MAZzREYQzIkqJ6YsyN0Bg6qHkX/clwiTIao4zJgBfPcdsHUrsHu32i0iIhPEYI7IgPPL7Y7XBnOmufihtom9laHWlXsTUVWlMY08ck89BSxZAlhZAcuXA8OGqd0qIjJBDOaIDNTxlDzkl1TI/HKdA1xg6kSKElHaS9Rk3nk6E0ZP5JBbuFDZ/+ILYMIEtVtERCaKwRyRgQ+x9gr1MLn8cvWxt7HCTd0D5f6KvUY+1PrZZzWVHd5+G7jzTrVbREQmzPS/IYiM1K7TSjDX18Tny9U31Lr+SDLySsphlHJzlTJdgrgUNVeJiFoRgzkiA6TR1J4vZz7BXHSIO9r5OKGkvArrDiXDKLm5AZs2AXPmAK+9pnZriMgMMJgjMkDxmUXILCyDrZUluga7wVxYWFjgll4hxjnUKhY8aHXrBixYwFqrRKQXDOaIDNC+6qoPXYJcYWdtBXMyoWcQREo9UfniVHoBjEJWFjBoEPDPP2q3hIjMEIM5IgO0P0EJ5nq28YC58XO1x9AOPnL/R2PonSsrA26+GdixQ8kpV26kc/2IyGgxmCMyQPvO5sjLnqHmF8wJ2qHWNfuTDDvnnBhafeAB4O+/ARcXYOVKwMZG7VYRkZlhMEdkYApLK2SOOSG6jTvM0TWdfeFib43k3BLsqk7RYpDeeAP48ktRYBb44Qega1e1W0REZojBHJGBOZSYC9EZFeBmjwA3B5gjkXPuxq4But45g7R+fU0uuffeA66/Xu0WEZGZYjBHZGD2nTPf+XK1jYsOkpfrDiejpLwSBuXMGeD225Vh1vvuA2bOVLtFRHQFsr79FnFXX4Pj3brjzKRbUXzo0KWPX7IEp66/Ace798DJYcOROn8+qkpLoRYGc0QGZn91MGeuQ6xafcM8Eehmj/zSCmw6ngaD4usLjBoF9O+v9MoRkdHKW7cOaQteh/fMmQhftRL2HTvi3D33oiKz/rKCub/8irS3F8rj265di4BXXkHeuvVIX/gO1MJgjsiAiGTB+84pix+izbxnztLSAmOre+dW7TOwoVYnJ+Cbb4Dffwfs7NRuDRFdgcyvlsB94kS43zwBdhER8J83F5b29shZuare44v374dDz55wG30TbIOD4Dx4EFxvvBHFhw9DLQzmiAzIuawiZFUnCxY55szd+Opg7u/YNPm6qG7XLqCqStkXCYHFClYiMjj5+fnIy8vTbaUNDIFqyspQcvQonAYO0N1mYWkJpwEDUHzgQL2PcYiOlo/RDsWWJSSgYMsWOA8ZArUwmCMywPlyUWaYLLg+HfxcEBXoiooqDdYeVrm815YtSmJgkVNOxbkxRHR5kZGRcHNz023z58+v97iK7BygshJWXl51brfy9kJFRka9jxE9cj6zZyP+jik41qUrTl03Ao59+8D7gfuhFmvVnpmIGswvFx1i3kOsF/bOHT2fJ1e1Tu0fqk4j0tOB226TH/qyN87WVp12EFGjxMTEIChI6dkX7FpwOkThrn+RsWgR/F94Hg7duqPs3FmkvjYf6R99BJ+HHoIa2DNHZEAOJmrny5n34ofaRncP1JX3OpdZpP8GiGHVadOA8+eBTp2Ajz9mzVUiA+fi4gJXV1fd1lAwZ+3hDlhZofKCxQ6VGZmw9vau9zHp770HtzFj4DFxIuw7doDrddfB97FHkbloMTTaaRh6xmCOyECUVVTheHK+3O8ezGCudnmvQRHKh+qaAyoshFi4UMkpZ28PLF+uLH4gIpNgYWsL+6goFO7YqbtNBGSFO3fCoUePeh+jKS6GhfiFWZtl9bQYka5IBQzmiAzEidR8lFVWwc3BBiGe5pks+HILIcRQq1jxq9cFD9rEwP/7H9Ctm/6em4j0wuuuachZsQI5q9eg9NQppMydh6riYrhPGC/vPz9njkxFouU8fDiyl32P3LVrUZaYiIJt22RvnfPwYbCwUmeuM+fMERlQ5QehW7AbLDiMV8fIKH842BzB6YxC+Tp1D9FDz2VFBTB1qnI5caKSHJiITI7rqFGoyMpG+vvvoTI9A3adO6PN4kW6Ydby88liiavueO8HH5BTLdLffQ8Vqamw8vSEy/Bh8Hn0UdX+BgZzRAbicJIyX65rkJvaTTE4TnbWGBHlh58OnMfq/Un6CeasrYGvvwaefRZYvJjz5IhMmOeUO+RWn9Cvl9a5bmFtDZ9ZM+VmKDjMSmSAPXPUcHmvXw6eR3mlniYZ9+sH/Pkn4Mb/J0RkuBjMERkAUXs0NkVZ/NCVix/qdVWEN7ydbZFZWIZtcfXnf2oRCQkir0HrnZ+IqIUxmCMyAMdT8mViXC8nW1mPlC5mbWWJG7sGyP2fD5xv3TQkPXsCK1a0znMQEbUwBnNEBuBwdX65rlz8cEljegTKy9+OpsjezBb33nvAX3/JvFOIjm758xMRtQIGc0SGNF+Oix8uqWcbDwS5O6CwrBKbjqe17MnF0OrTTyv7b78NRES07PmJiFoJgzkiA3A4SQnmOF/u0kSvpagI0eJDrWVlwJQpSs3VG24A7levxiIRUVMxmCNSWXFZpUwYLHAl6+WNqQ7mNsWmIa+kvGVOKopw798PeHoCn3/ONCREZFQYzBGpLCY5F1UawNfFTpauokvrHOCCCF9nWf7s96OpV37CY8eAV19V9j/8EAhQFlkQERkLBnNEKjtcPV+OyYIbP9Sq7Z37+WALDLWKuXEvvqhUebj11is/HxGRnjGYI1JZTHKevIwKdFW7KUZDG8yJfHMZBaVXdjIbG+C554Dlyzm8SkRGicEckYEEc5EM5hotzNtJzi+srNJg3eHk5p0kPV1Z+KDFQI6IjBSDOSIVibJUJ1IL5H5kAIdZm2LMlaxq1WiAyZOBXr2AQ4davnFERHrEYI5IRafTC+VEfhc7awR7OKjdHKNyU7dA2Zm252w2knKKm/ZgsWJ10ybg1CnAyam1mkhEpBcM5ohUXskqdA5whaUlh/mawt/NHv3CPeX+L01ZCJGaCjz1lLL/8stAu3at1EIiIv1gMEekopjznC93JcZ0D2r6UOt//gPk5Cjluh55pPUaR0SkJwzmiAxh8UMAg7nmuKGLP6wtLeTrGJemzD28pM2bgaVLlcUOH38MWFvro5lERK2KwRyRSjQaja5nTgyzUtN5ONliSAefxuWcEytXH3pI2b/vPqBfPz20kIio9TGYI1JJSl4JsovKYWVpgfZ+zmo3x2hpV7WKeXMiQG5Qdjbg6wt4ewOvvaa/BhIRtTLVxxiW7ojHp5tPI72gVPZOzBsThR4hDRcbX3soGW9vjEVidjHCvZzw9A2dMLyTr+7+wtIKvL7huCzzk11UhhBPR9w1MAxT+ofq6S8iahxtr1yEjzPsbazUbo7Rui7SD/Y2ljiTUYgjSXno2lB9Wz8/ZQVrfLxSg5WIyESo2jMnfkm/8usxPHJte6ydPRiRAS648/NdDWZ033s2Cw9/vx+39g7BuocHY0SUH+77eg9iU5Qi5cIra2Ow+UQ63rm1B/54fCimDwrHiz8fxcaYFqjhSNSCuPihZTjZWeOazn5y/6cDSZc+WMyVCw/XT8OIiMwhmPts6xlM7huCSb1D0N7PBa+O6woHWyv8sCeh3uO/2BaPoR18cP/QdojwdcETIzoiKtANS3bE647ZezYbN/cMxoB2XrJX7vZ+bWRh7oMJOXr8y4gu71gKFz+09FDrr4eSUVV1wVDrhg3Aww8DuUoaGCIiU6NaMCcSpR5JysWgCO+axlhayOv7ztYfeO0/m13neEFMft53Nlt3vVeoB/44loqU3BI5f2b7qQycSS/EVe3rPq620tJS5OXl6bb8/JqePqLWwp65ljOsow9c7K3lPMR/47Nq7igvBx59FHj/feCtt9RsIhGR6QVzYj6bqKvo7WxX53YfZzs5f64+4nZvZ9sLjretMyw7d0wUInyd0X/+n2j/3Hrc9cVuvDS2C/q19WqwLfPnz4ebm5tui4yMvOK/j+hSCkorEJ9ZJPe5kvXK2Vlb4foo/4tXtX74IRAbC/j4AE8+qV4DiYhakcmtZl2yPR4HzuXgszt745fZg/HcjZ3xwk9HsPVkRoOPeeaZZ5Cbm6vbYmJi9NpmMj/Hq/PL+bvaw9Op7g8Uap4xPZSh1vWHk2XNW6SnA3PnKne++irgxtq3RGSaVFvN6uFoK1MyXLjYQfS+id65+ojbMwrKLji+TNe7V1JeiTd/i8WnU3vh6k5+ul4PMZy16J/TGNzAUKudnZ3ctMRQK5FekgVziLXFDGjrJT8LxGeK+PE2/N0XlXlyPXoA06er3TwiItPrmbO1tkSXIDdsj6vpMRMTl7fHZaJnaP2pSaJDPeocL2w9mY6eoR5yX/waL6/UwEKsWKtFzMW7ZP4pIj07Vh3MicU51DKsrSxxY1dlqHX3z38DixYpd7z7LmDF1C9EZLpUHWa9Z3A4lu1OwI97ExGXlo/n1hxBUVkFJvYKkfc/vvyAzBmnNX1QmEw7snjLaVm6552NJ3A4KRfTBoTJ+13sbWTh7fnrjmHHqUwkZBVhxZ4ErNqXiBHV82mIDIE2nU4nf/bMtaQxPZRarX0+Wyh+HQK33AIMGaJ2s4iITDdp8OjugcgqLJNBWXp+KToHumLJ9L7wcVGGPJNyiuv0svUK9cS7k6Px9u+xcjg1zNsRi6b2Rkf/mt6N92+PxhsbYvHo8v3IKSpHkIcDnhrZEVP6tVHlbyS6kOglPpGq1BGt/d6lK9ezjTuCPRzwnxGzsLJbBNq88bLaTSIianUWGo4/XiQxMREhISFISEhAcHCw2s0hE5OYXYTBr/8FGysLHJ13vZxyQC1H9OZ//PcpjIzyw6dTe6vdHCLSo0Qz/f7mtwiRnp1IVYZY23o7M5BraampugTCf8WmI7e4XO0WERG1On6TEOlZbAqHWFuFWIXepQs63XcHejlWyMTkvx1NUbtVREStjsEckZ7FVpfxYjDXwt54A8jIgMXJkxjev4Ou/jMRkaljMEekZ7HVix86+DGYazFJScDChcr+/Pm4qaey4GlbXIZcXEVEZMoYzBHpUUVlFU6lVQ+zMphrOaLSQ3ExMHAgMG4cwryd0D3YDVUaYN3hZLVbR0TUqhjMEemRqMdaVlkFR1srmUKDWoAov/fFFzVDrdXpjETqo4tqtRIRmSAGc0QqJAtu7+ciK5NQC3j6aSVB8LhxwKBBuptFMCfiur1ns2U6GCIiU8VgjkiPYqvTknT0c1a7KaYhOxs4fFgp1zV/fp27/FztZUUY4ZeDHGolItPFYI5Ij05U98xx8UML8fAAjh8HNmwAOnW66O4x3ZXyXhxqJSJTxmCOSIWEwazJ2oLs7IBrr633rhu6+MtKG8eS82T9ZyIiU8RgjkhPSsorEZ9ZKPc7+HOY9YqIKoRr1gAVFZc8zMPJFkPa+8j9nw+wd46ITBODOSI9iUsrkKkyPBxt4ONsp3ZzjNvatcD48UDfvsrih0sY06NmVStLURORKWIwR6Tnlayi8oNFdfoMagYRvD3/vLI/YgRgeemPsWs7+8HexlKmhTmclKufNhIR6RGDOSI9z5djsuArtGoVcOAA4OICPPXUZQ93srOWAZ3AoVYiMkUM5oj05Lh2JStrsjZfZSXwwgvK/uOPA15ejXrYmOoEwr8eSkaVGOsmIjIhDOaI9IQ9cy1g2TLg2DElJcljjzX6YUM7+sDV3hopeSX4Nz6rVZtIRKRvDOaI9CC3uBzJuSVynz1zzVRertRgFcTwqptbox9qZ22F67v4y33mnCMiU8NgjkgPtDnOAtzs4Wpvo3ZzjFNaGhAYCPj4ALNnN/nh2gTC6w4no6zi0itgiYiMCYM5Ij04mVogLyN8mV+u2YKCgC1bgIMHAeemv44D2nnB29kOOUXl2BqX3ipNJCJSA4M5Ij3lmBMYzLWAgIBmPczK0gI3dVMey1WtRGRKGMwR6cHJ6mCuvS/nyzVrBevbbwOZmVd8Km0C4d9jUlFcVtkCjSMiUh+DOSI9YM/cFVi5EnjySSA6+rLluy4nOsQdIZ4OKCqrxJ/HU1usiUREamIwR9TKisoqkJRTLPcZzDWj2sMrryj7M2YA1tZXdDpReWN0t+ryXhxqJSITwWCOqJWdSiuUl15OtvB0slW7Ocbl55+Bw4eVag8PP9wip9QOtf4dmy5TxhARGTsGc0StLC5dSUvSjr1yTaPRAC+/rOyLVCQiUXAL6OTvig5+ziirrMJvR1Na5JxERGpiMEfUyjhfrpnWrwf27QMcHYFHH23RU2vLe/3CBMJEZAIYzBHpKcdcewZzzeuVe/BBJVFwCxpdHcxti8tAen5pi56biEjfGMwRtbK4dPbMNVlpKdC1K+DqqqxkbWGhXk7oHuKOKo1SEYKIzFvWt98i7uprcLxbd5yZdCuKDx265PGVeXlIeeklnLjqKhzv2g2nRl6Pgs2boRYGc0StSJSNOptZJPcZzDWBvT2waBGQmAj4KzVVW5p2qJW1WonMW966dUhb8Dq8Z85E+KqVsO/YEefuuRcVDeS21JSV4dz0GShLSkLwu++i7fr18H/5JVj7+UEtDOaIWlF8ZiEqqzRwtrOGv6u92s0xPmIVaysR1SAsLIC9Z7ORmK0E3ERkfjK/WgL3iRPhfvME2EVEwH/eXFja2yNn5ap6j89ZtQqVubkI+eADOPbsCdvgIDj17Qv7Tp2gFgZzRHpY/CBWsoocZ9QIH3wAHDjQ6k/j52qP/uFecv+XgxxqJTIl+fn5yMvL022lYupGA71sJUePwmngAN1tFpaWcBowAMUNfA7lb9oEhx49kPLSyzgxaDBOjx6NjE8+hUZUq1EJgzkifaxk9eEQa6OcOgU88ohS7UHst7Kx1TnnONRKZFoiIyPh5uam2+bPn1/vcRXZObJkoJWX8sNOy8rbCxUZGfU+pjwhEfm//QZNVSVCPv0U3g8+iKwvv0TGx59ALVeWTp2IGleT1Y/BXKOIGqyi6sP11wPt2rX6093QJQDP/3QEx5LzcDI1H+39WDuXyBTExMQgKChId93Ozq7lTl5VJYO/gJdegoWVFRy6RKE8NQ2ZX3wOn1kzoQb2zBG1IvbMNUFaGvDll8r+nDl6eUo3RxsM7aCkPVlzIEkvz0lErc/FxQWurq66raFgztrDHbCyQuUFix0qMzJh7e1d/2N8fGAbFioDOS27dm1RmZ4hh23VwGCOqJWIhQ+nmZak8d5/HygpAfr0AYYO1dvTjotWfr2v2X8eVSJXCRGZDQtbW9hHRaFwx07dbZqqKhTu3CnnxdXHoWdPlJ89J4/TKouPl0GeOJ8aGMwRtRKxQrK0ogq21pYI8XRUuzmGraAA+PDDml45PS4WubazH1zsrJGUU4zd8Vl6e14iMgxed01DzooVyFm9BqWnTiFl7jxUFRfDfcJ4ef/5OXOQ9vZC3fEet02Wq1lTX30NpWfOIP/vv5Hx6SJ43HG7an8D58wRtfIQa1tvJ1hZciXrJX32GZCdDbRvD4wbp9entrexwg1d/fHDnkQ51Nqvbd2J0ERk2lxHjUJFVjbS339PDpXade6MNosX6YZZy88niyWuuuNtAgIQ8tlipC5YgJyx42R+Oc+pU+F17z2q/Q0M5ohaCWuyNjGfXEAA8NRTcv6Kvo2PDpbB3K+HkvHi6CgZ4BGR+fCccofc6hP69dKLbnOMjkb48uUwFBxmJWrtlay+XCF5WTNmAGfOANOmqfL0/cI9Eehmj/ySCmw6nqZKG4iImovBHFErYc9cE4nVZmpNHra0wNjqhRCr93NVKxEZFwZzRK1Ao9HgFIO5y9u1C/jxR6CiQu2WYEJ1MPd3bBqyC9VJL0BE1BwM5ohaQWpeKfJLK+TChzBvrmRt0Lx5wMSJwNy5ardEJgyOCnRFeaUGvx5iRQgiMh4M5ohawanq/HJtPB1hZ83J9PU6dgxYv15JQ3LXXTAE4znUSkRGiMEcUSsGc+18nNRuiuF6913lcswYICIChmBMj0CILDL7zuUgPqNQ7eYQETUKgzmiVnA6XQkE2rKMV/1EAeslS5T9xx6DofB1scfg9izvRUTGhcEcUSv2zImEwVSPTz9VSnf17AkMGQJDMqHWUKtYyEJEZOgalTT4xvf+adJJxRSYz+7sA383++a2i8iosWfuEkpLgQ8+qOmV02PprsYYEeUHR1srnM0sksOtvUI91G4SEdGVB3MxyXm496q28gPucsQP2Y83n0JZRU0BWiJzUlJeifO5xXK/LefMXSwlBQgNVYK4SZNgaBxtrXF9lD9W7U/Cmv1JDOaI6Iqkzl/Q5Md4P/gArNzdW76c131D2sLb2a5Rx372z+lGN4DI1JzJKJQ/alztreHlpE4SXIMmArmdO4HUVNWSBF/O+J5BMpj75dB5PH9TJGytOSOFiJona+lSOPToAQsbm0YdX7RvHzym3NHywdw//xnepC+ljY8PhZ9r44ZYl+6Ix6ebTyO9oBSdA1wxb0wUeoQ0/AesPZSMtzfGIjG7GOFeTnj6hk4Y3sm3zjFxaflYsP44dp3OQkWVBu39nPHxlF4Icndo9N9AdCXBnHaI1cLAhhANip8fDNXAdt7wdbFDWn6pTCI8Ispf7SYRkREL/uB9WHt5NerY2J69mnz+Rv3cDPZwbNKXUqC7g0yWejm/HDyPV349hkeubY+1swcjMsAFd36+CxkFpfUev/dsFh7+fj9u7R2CdQ8PlnNb7vt6D2JT8nXHnM0sxC2f7EA7H2csu68/Njx6FWZf3R52/GVNenJau/iBQ6wXE9UesrNh6MTn19gegXKfq1qJ6EoEvPYaLF0aX6Pbf968Rgd+WlcU4Yx8ZwvO5yhzg5rjs61nMLlvCCb1DpHZ118d1xUOtlb4YU9Cvcd/sS0eQzv44P6h7RDh64InRnREVKAbluyI1x3z5m+xGN7RF8+M6owuQW4I9XLCdZF+jR4iJmqpxQ/iBwXVEhenzJFr0wbIzIShG1e9qvWPY2nILSpXuzlEZKTcx4+DZROmlLiNvgmWjo76C+YSs4tQUdm8pftigcSRpFwMivCuaYylhby+72xOvY/Zfza7zvHCkA4+2HdW+aVfVaXBX8fTEO7thKmf70Kvlzdi7Ifb8NvRlEu2pbS0FHl5ebotP7+mp4+oqU5ph1mZlqSujz5SVkhddRXQxF+daogMcEUnfxf5WSXmzhERtaTkefNQ0UIjFaqNPWYXlaGySnNRj5mPs52cP1cfcbu3c93o1sfZVjcsm1FYisKySnz89ynZg7d0Rl+MjPLDA9/sxc7TDfcEzJ8/H25ubrotMjKyRf5GMj8iL1nNMCt75nQKCoAvvlD2Z8+GMRBTS27pFSz3V+xNVLs5RGRi8n7+BVXis1HtYK5PuCfsbQxnLpo2v6cYVr3nqrZyCPahYRG4ppMvvt11rsHHPfPMM8jNzdVtMTEx+ms0mZSMgjLkl1TIrBuhXk3rJjdp33wD5OYqZbtGjoSxEEOt1pYWOJiQg5Op7LEnohbUgknJrygS++ruvvBt5KrVC3k42spJxhcudhC9b6J3rj7idvFlWff4Ml3vnjin+OBt71u3R6Sdr/Ml5/bZ2dnB1dVVt7k0YaIiUW3aXrlgDwfY21w+L6PZfGBpkwTPnCnmU8BYiM8W7Wr5H9k7R0QGqlGfqhtjUlFe2fgkwGLemkiceikib5NYoLA9LkN3m5jztj0uEz1D609NEh3qUed4YevJdPSsTuopztkt2A2nLyiQfSa9kGlJSC+0771wbw6x6vz9N3D0KODkBNx9N4yNdqhV5J2raMLnIBHRpXTctxe2ISHQWzB3/9d7kFfc+NVcs5ftR1pe/fPeartncDiW7U6Qv3hFbrjn1hxBUVkFJvZS/rjHlx/A6xuO646fPigMm0+kY/GW04hLK8A7G0/gcFIupg0I0x1z35B2+PXQeSz79xziMwqxZHs8/jyehqkDQhvdfqLm0s2X4+KHGgcPAtbWwJ13Am5uMDZXd/KVeTbT80vl5w8RUVNUNnFeXGVB3Q6pFksaLEZ1n1xxsNFZ0EsrLt0rpzW6eyCyCstkUCY+KDsHumLJ9L7wcVGGTZNyiuvkt+sV6ol3J0fj7d9jZQqSMG9HLJraGx39a4ZFr+/iL1OcfPR3HOb+fFROQv/4jp7oE+bZqDYRtUxaEgZzOo8+Ctx6q+h6hzGysbKUc+c+33pG/vC8prPhJjsmIsNzom8/tP9nS6Nzx8UNHYrwNaub1GvXqGDu5p7KMENjje0RBGf7xlUKmzYwTG71WX7/gItuu7FbgNwuZVKfELkRqTXMypWsFwi49L9ZYxhqFcHcH8dS5Q9QT5ZpI6LG0miQs+LHRueO01RUoKkaFXG9NbF7k09MZG5EPrJzWUVyn9UfAJSUAPHxQKdOMHai1GCXIFccScrDTweScPegcLWbRERGwiYgADkrVjT6eGtvb1iIqSlN0LSjiahBIpATuRMdba3g38xV3iZl+XLgrruURQ/aHHNGTMzlPZJ0VA61MpgjosaK2PQnWpvx5AggMpLFD6ICSVNqGZtsOpL331f2O3SAKRjTPRC2VpY4ej4PMefz1G4OEZEOgzmiFsL5crXs3Ans3SuSOAL33ANT4OFki2sjlZxzK/bWXz+aiEgNDOaIWgjTktSiTRJ8++2Ad916ysZMm3PupwPn5RxJIiKjCea6z/tdruASnlpxEAWlTV9pQWQuaUnMfvFDaiqgnew7axZMyZD2PvB1sZOfh5uOp6ndHCKixgdzovpDQYkSwK3cl4jSy1R3IDLnYdZ25j7MKhY7lJcD/fsDPXvClFhbWWJ8zyC5/yOHWomoERJnz9YlDs5ZswZVZXXLkraERq1m7dnGA/d9vUeW3xIJhOf+EgP7BhIIv8k0JmSGcorKdL3XYgGEWVu5Url88EGYoom9gvHp5tP4KzYdaXklza5PTUTmIf/vzfArKoKVszOSn30OzlddBctGJhBu0WDunVt7yISZ57IKIdbo5ZeUo9SK0+2ItE5VD7GKlCROdmae8eeff4AffwRuuQWmKMLXBb1CPbD3bDZW7E3EzOERajeJiAyYXXg40he+A8d+/eRK/7z1G2DpXP+Pfvdx45r1HI361hHltZ6+QUn8Ofj1TXhnUg+5souILlj8YO7z5QQHB2DqVJiy2/q2kcHc97vP4cGh7WBpaeapaIioQf5z5yL19QUo2LwZsLBA+rvvysuLWFi0bjBX29Y5VzfriYjMIy2JGQdzxcWAvX39H1Im5sauAZj3y1EkZBVj26kMXNXeR+0mEZGBcuwZjXCRRB3Asc6RaLdhfaPrtLZoMPfltjONPiEzo5N5pyUx48UPr76qrGKdPx+YMAGmzMHWCuN6BOHrnWfx/b8JDOaIqFEi/tgIK09PtLRGBXNivlxtYqJ3cXklXO1t5PW8knI42FjBy9mWwRyZJbNPSyJWZ332mZKWpMo88q+JoVYRzP0ek4KMglJ4O9up3SQiMkAlsbF1rleeONHgsfYdO7ZeMFd7aFUUmf56x1m8fks3XQqGU+kFeGblYdzer02zGkFkzEQ91rOZReadluSnn5RAzt8fGDsW5iAy0BXdg91wMDEXK/cm4v6h7dRuEhEZoDPjxivTT0SZw8tMQ+kcc1Q/c+be/v0EPrqjZ50vLbH//E2RePDbvRgXreRgIjIXidlFKKusgq21JQLdHWCWPv5YuRSlu2yUHntz6Z07mHgY3+9OwH1D2rImLxHVO7SqVXLsGFLfeBNe06fDIbqHvK14/wFkffklfJ96Es3V5GAuLb9E9kRcqFKjkUMNROY6xBru5QQrc1zVePw48NdfgKUlcO+9MCejuwfi5V9jcCajEDtPZ2FAu5ad1ExExs8mqKaTK/HRx+D/3LNwHjq0ztCqTYA/0t99Dy7XXtus52hysrhB7bzx7OrDOJKUq7vtcGIu/rvmMAZHmE4NRqLGEtMMzHq+3KefKpc33gi0Ma+pFiKn4Jgeyge1SFNCRHQppSdOwCZYqfFcm7it9NQpNFeTg7k3bukm886N/mArOjy3Xm5jP9wqJ/8uuLlbsxtCZKzMOi2JSEfy1VcmXfHhcm7rGyIv1x9JQXZ1FRAiovrYtmuLzEWLoKlV0kvsi9vEfXobZvVytsNXd/eVqRji0grkHJF2Pk5oa64Tv8nsmXVaEpFXbvVq4IcfgBEjYI66BrkhMsAVMcl5WLU/CTMGc0U/EdUvYO5cJDz4EE4OGw67jh3kbaWxJ+TCiJCPP0JzNbvukAjetDUoOemXzJlZpyUR//aHDVM2MyU+/27r1wbPrzmC7/89h+mDwviZSET1cujWDREbf0fuL7+i7PRpeZvrDTfA7aabYOnoqN9gbvnuczL3XHyGko4hzNsR0weFY3Jf85ovQyTqFKfll5pvzxxJY3sE4rW1x3AyrUCW+eod1vJJQYnINFg6OsLj1kktes4mB3MLf4/FZ1vPYNrAMPRs4yFv23cuW67oOp9TjMdHNC/hHZEx0v6g8XKyhZuj+aTkkObMAUpLgUcfBcLCYM5EAvWbugVgxd5EfLPzLIM5IqpXxqeLYO3tBfebb65ze87KlajIyoJ3MzMCNHkBxDe7zmH+hK6Yc30nXBfpJzex/9qErjIbOpE5OZ1hpitZ8/OBDz8ERMHos/x3L0wdECov1x1WKkIQEV0oZ/ly2IZfvNDBLiICOd8r9Vv1EsyVV1ahW7B7vZOAK+rJP0dkyk5p58uZ2xDr998DhYWAKD0zZIjarTEI4nOxe4i7TCC9fHeC2s0hIgNUkZEBa9+LazmLeq0V6en6C+YmRAfJYYQLLfv3nCw8TWSWK1nNrWdu8eKaig+c7K8ztb/SO/fdrnP1JlcnIvNmHeCP4n37Lrpd3Gbt69v88zbnQT/sTsA/J9MRHaLMmTuQkCPny03oGSTnzmmJEl9E5rGS1Yx65g4eBHbvVsp2TZumdmsMipg39+raGCTlFGPT8TQ5DYWISMtj4kSkvjYfmvIKOPXvJ28r3LkTaW++Bc+774begrnY1HxEBbnK/bNZyheZh5ON3MR9Whbgr3UybVVVGlnGyex65rS9cuPGAT4XDxeYM3sbK0zqE4JPN5/G0h3xDOaIqA7PGTNQmZODlJdegqa8XN5mYWcHr3tmwPv++6C3YO77+wY0+8mITElKXgmKyythbWmBNp7Nzw9kVIqKgG++UfbNrA5rY03pF4pFW07jn5MZMtjX5uMkIrKwsIDvk0/C+8EHUXr6tAzkbMPCYGlre0XnbfKcOSKqO8QqAjkbKzP5pyRSkYh5cn36ANdco3ZrDFKIpyOGd1TmvtQ3v5iIyNLJCQ5du8K+Q4crDuTk+VqkVURmyCzTknh4AG+9BezaBVjy4+NyCyFW7ElAcVml2s0hIhPHT2OiZjLLxQ9aXMF6SUM7+Mge27ySCvx8MEnt5hCRiWMwR9RMp7RpScxlTtS33wIbN4qVH2q3xOBZWlpgSn+lvOHSHWeh0TBNCRG1HgZzRM1kVj1z2rJdI0YAv/+udmuMwsReIbCztsTR83nYdy5H7eYQkQljMEfUDCXllTifW2w+c+Z++gnIyAACA4Frr1W7NUbBw8kWY7oHyv2vtser3RwiMmEM5oiaQaScECNnrvbW8HK68pVIRpNbbvp0wLpZucbN0t2DwuXlusPJMrE6EVFrYDBHdIVDrCJvkEk7fRr44w9l0cOMGWq3xqhEBrpiQFsvWdpLzJ0jIsOU9e23iLv6Ghzv1h1nJt2K4kOHGvW43LVrcaxTZyTMnAU1MZgjagazqsn6+efK5XXXAWFharfG6EwfHK6rX11UVqF2c4joAnnr1iFtwevwnjkT4atWwr5jR5y7515UZGbiUsoSk5D2xptw6N0LamMwR9QMp6vLeLUz9cUPFRXAl18q+6z40CxXd/JFqJcjcovLsWof05QQ6UN+fj7y8vJ0W6lYxNWAzK+WwH3iRLjfPAF2ERHwnzcXlvb2yFm5qsHHaCorcf6pp+AzexZsg0OgNgZzRFfSM2fqaUkSEgA3N6UG65gxarfGKFlZWuCugUqP5pfbzsiavkTUuiIjI+Hm5qbb5s+fX+9xmrIylBw9CqeBNaVKLSwt4TRgAIoPHGjw/BkffgQrL0+433ILDAFnMhM1kcgZZjZpScLDgZgYJahrgZIz5mpi7xAs/P0ETqUXYsvJdAyrLvdFRK0jJiYGQUFBuut2dnb1HleRnQNUVsLKy6vO7VbeXig9c6bexxTt3YuclSsRvmY1DAV75oiaKL2gFPmlFXI9gBg+M3niD22jJMCl5nG2s8akPspQzBfbmKaEqLW5uLjA1dVVtzUUzDVVZUEhzv9nDgJefgnWoryhgWDPHFETaXvlgj0cYG9jBZMlVnNFRACOZhCw6oEYahXDrFtOpONkaj7a+7mo3SQis2ft4Q5YWaHygsUOlRmZsPb2vuj48oRzKE9KQsKDD9XcWF0V51hUF7Rbvw62Kvz4Zc8cURPphli9TXiItbISGD1aSRK8e7farTEJIZ6OGBHpL/e/2Fb/8A0R6ZeFrS3so6JQuGOn7jZNVRUKd+6EQ48eFx1v27Ytwn/+CeGrV+k256uvhmO/fnLfxl/5N65vDOaImsgs0pKIGqznzokio0DXrmq3xuTSlIhVrRkFDa+uIyL98bprGnJWrEDO6jUoPXUKKXPnoaq4GO4Txsv7z8+Zg7S3F8p9Szs72HfoUGezcnGBpZOT3BfBoRo4zErURKeqgzmTTkuirfgwdSpgb692a0xGnzAPdA9xx8GEHCzZHo8nRnRUu0lEZs911ChUZGUj/f33UJmeAbvOndFm8SLdMGv5+WSxxBWGjMEcUTNzzJlsz1xqKvDzz8r+Pfeo3RqTIqqFPDCkLR78dp+sCPHA0HZwsuPHMJHaPKfcIbf6hH699JKPDVxQf9oTfTLsUJPIwJRWVCIhq8i0e+a++kpJFtyvH4dYW8GIKH+EezvJJMLLdyeo3RwiMgEM5oia4FxmEUTOVydbK/i6tMxSd4Oi0QCffabss+JDqyURvveqtnL/861nUF6prIQjImouBnNETSCSvmqTBYshM5MjMp7HxQHOzsCtt6rdGpM1oWcQvJ3tkJRTjF8PnVe7OURk5AwimFu6Ix6DFmxCh/+ux9gPt+FAQs4lj197KBlXv/23PH7kO1vw1/G0Bo99dvVhhD29Vv4CJrpSpzNMfCVrdLQSzC1dqgR01CpEfsK7Byklvj7dfFpWFSEiMtpg7peD5/HKr8fwyLXtsXb2YEQGuODOz3c1uGx/79ksPPz9ftzaOwTrHh6MEVF+uO/rPYhNyb/o2A1HUrD/XA78XE1wOIxUYRY55tq1A8YrS/Kp9UzpFyqH64+n5OPvE+lqN4eIjJjqwdxnW89gct8QTOodIjOivzquKxxsrfDDnvonBotSOEM7+OD+oe0Q4esil/ZHBbphyY66JXJScksw9+ejeHdyD1iLXFlELZhjrp2vCfbMlZer3QKz4uZog9v6KpniP918Su3mEJERUzXKKauowpGkXAyKqCmZYWlpIa/vO1v/UOv+s9l1jheGdPDBvrPZuutVVRo8tvwA7hvSFh0aUTKntLQUeXl5ui0//+JePqI6aUlMrWdODPP16aP0yMWzdqi+zLgqHNaWFth5Ogv7z9V8hhERGU0wl11UhsoqjZwIXJuPs50sZl4fcbu3c90Myz7OtnWGZT/efArWVha6OSmXM3/+fLi5uem2yMjIZv09ZNqyCsuQU6T0XonUEiZl507g4EHgt98Ad3e1W2M2AtwcMLZHkNz/8K84tZtDREbK5MYfDyfm4stt8XhrYvdGrzZ85plnkJubq9tiYmJavZ1kvEOsQe4OciqASVZ8mDiRwZyePTS8HcRH1R/H0nD0fK7azSEiI6Rq6nEPR1uZc+nCxQ6i9030ztVH3J5RUHbB8WW63r1/47OQWViKgQs26e4XvX+vro3BF1vPYNvTV190Tjs7O7lpiaFWoobKeJncSlbxfl++XNlnbjm9E8mnb+oWKBeDfbApDh9P6aV2k4jIyKgazNlaW6JLkBu2x2VgZJS/br7b9rhM3DkwtN7HRId6yONnVBesFraeTEfPUA+5PyE6CIMvmFN35xe7MD46GBN7B7fq30PmspLVxIK5ZcuAoiKgc2dg0CC1W2OWZg2PkMHc+iMpOJGa36i5vkREBjPMes/gcCzbnYAf9yYiLi0fz605gqKyCkzsFSLvf3z5Aby+4bju+OmDwrD5RDoWbzmNuLQCvLPxBA4n5WLaAGV+nIeTLTr6u9TZxGpWHxc70y2/RHpPGGxStBUfRB1WU0yEbATE59T11T9oRe8cEVFTqF7heXT3QDmxXARl6fml6BzoiiXT+8rgSxAZ0mvPfesV6ol3J0fj7d9j8eZvsQjzdsSiqb3lhyGRPhIGm9SPAlHxYc8ewMYGmDpV7daYtdnXRGDD0RRZEeLRa9ub3o8GIjLdYE6YNjBMbvVZfv+Ai267sVuA3BqrvnlyRE0h6meKuqwmN2cuPBx4/30gORnw8VG7NWZN5Mu8trOvXAjx4V+n8Pak7mo3iYiMhOrDrETGICGrCBVVGjjYWMHf1R4mw80NmDULePVVtVtConfu6vbycs2BJN2PByKiy2EwR9SExQ8iv5xIbE3UGrqHuMsk6GIF/sebOXeOiBqHwRxRE+bLmdQQ68yZSn65QiVQJcPw8NUR8nLFnkT2zhFRozCYI2pKWhJTmZR+/Djw0UfAAw8AuUxUa0h6h3niqvbeclj/f3+eULs5RGQEGMwRNSGYa2cqPXOff65c3ngjEBiodmvoAk+O6Cgv1+xPkimbiIguhcEcUROqP5hEWpKyMmDJEmWfFR8Mdu7ciEg/VGmAdzaeVLs5RGTgGMwRXUZuUTkyC8t0CyCM3k8/AenpSo/cDTeo3RpqwBMjOsoczmsPJ+NIEofCiahhDOaILuNU9eIHkZLEyc4gUjO2TMWHu+8GrE3g7zFRIhH6mO7KEPjCjZw7R0QNYzBH1OjFDybQKxcfD2zcqOzPmKF2a+gyHr22A6wsLbDpeBr2ns1WuzlEZKAYzBFdxunq+XImEcwVFAAjRyqbqP5ABk0M69/SM1juv/VbrNrNISIDxWCOqLE9c94msPihSxdg/Xrgl1/Ubgk10sPXtoetlSV2nM7E1pMZajeHiAwQgzmiRq5kNYmeOS0bG7VbQI0U5O6A2/u1kfvz1x9DlVjiSkRUC4M5okuoqKxCfKbSM9fezwVG7fvvgYQEtVtBzfDwNe3hYmeNo+fz8NPBJLWbQ0QGhsEc0SWczSpCeaUGjrZWCHSzh9FKTgamTAHCwhjQGSFPJ1s8OLyd3H/rtxMoKa9Uu0lEZEAYzBFdQlxaTbJgC5H0y1h9+SVQWQkMGACEhKjdGmqG6YPCEeBmj6ScYny1PV7t5hCRAWEwR9SIYC7C14gXP1RV1eSWY8UHo2VvYyUTCQsf/hWH7OpE1kREDOaITD2Y++sv4MwZwNUVuOUWtVtDV2B8dBA6B7giv6QC721imS8iUjCYIzL1YG7xYuXyjjsAJxNakWuGRALhZ0d1kvvf7DyL+AxlcQ4RmTcGc0QNECkgtGlJjDaYEzVYV69W9u+5R+3WUAu4qr0PhnTwkQtzXlt3TO3mEJEBYDBH1IDzucUoKquEjZUFQj0dYZT27VNyyvXuDfTsqXZrqIU8f2Nn2Uv3e0wq/jmZrnZziEhlDOaILjPEGublBGsrI/2nIsp2nT8PLF2qdkuoBYmch1P7h8r9eb/EoLyySu0mEZGKjPQbikh/wVx7PyMdYtUSCx86d1a7FdTCHru2g8w/J96nX+84q3ZziEhFDOaIGqCbL+djpMFcXBygYeknU+XmaIMnq1OVvPPHCWQWlKrdJCJSCYM5ogacTK1OGGyMix9ExQfRGyfmyeXnq90aaiW39glBVKCSquSt32PVbg4RqYTBHFE9NBoN4ox5JesXXwAVFYCjI+Bi5DVlqUFiEcTcMVFy//vdCTiSlKt2k4hIBQzmiOqRWViGnKJyiApeopSXURFlu7S55e6/X+3WUCvrE+aJsT0C5Yj6c2uOoLKKQ+tE5obBHNElFj+EeDjKMkpG5bffgLNnAQ8PYOJEtVtDevDsqM5wsbPGwYQcfLeLiyGIzA2DOaJ6nDTmyg+ffKJcTpsGODio3RrSAz9Xezw5UlkM8caGWKTll6jdJCLSIwZzRPU4ZazBXEICsHatss8hVrMypX8ougW7Ib+0Ai//ysoQROaEwRzRpWqyGtt8ue++E3XIgKFDgU5KDU8yn8UQr43vCksL4JeD57HlBCtDEJkLBnNElwjmjC4tyRNPAD//DMybp3ZLSAVdgtxw18Bwuf/fNUdQUl6pdpOISA8YzBFdIK+kHCl5JcY5zGptDYwerfTMkVl6fEQHBLjZ41xWEd7786TazSEiPWAwR9TAfDlfFzu4OdjAaIjhVTJ7znbWutxzn245jcOJzD1HZOoYzBE1NF/OmHrlzpwB2rQBXniBJbwII6P8cVO3AJlz7qkfD6KsgoE+kSljMEd0gROpSvmrDn4uxpWOJCkJ2LULMtMxmb15Y6Lg5WSL4yn5+OCvOLWbQ0StiMEc0QViq2uydvQ3kmCuuBj47DNlf+ZMtVtDBsLL2Q4vje0i9z/6Kw5Hz3O4lchUMZgjusCJFCPrmfv+eyArCwgNBW68Ue3WkAG5sVsAbujij4oqDZ5ccQjllRxuJTJFDOaIasktqlnJ2sHPCObMiflx77+v7D/0EGBlZKXHqNWJ3jkPRxscS87DB5s43EpkihjMEdUSWz1fLsjdAS72RrCSdedOYP9+wN4emDFD7daQAfJxsdOtbhVz5/afy1a7SUTUwhjMEdUTzBlFr5zwwQfK5W23AV5eareGDNSY7oEY3T1Qrm59bPkBFJZWqN0kImpBDOaI6pkv19HfFUbh6aeVGqyzZqndEjJgFhYWeGVsFwS62SM+swgv/RKjdpOIqAUxmCOqp2euo7+R9Mx17aqkJenZU+2WkIFzc7TB25N6yMw1y/ckYMORFLWbREQthMEcUTWNRmOcOeaIGmlAOy/cN6St3H9m1SGkVi/2ITJ3Wd9+i7irr8Hxbt1xZtKtKD50qMFjs3/4AfF3TEFs335yO3v33Zc8Xh8YzBFVS8svRU5ROSwtgHY+Bt4zt2YNcOedwN69areEjMzj13VAZIArsovK8cQPB+U8OiJzlrduHdIWvA7vmTMRvmol7Dt2xLl77kVFZma9xxf9uxuuN45C6JKvEPb9Mtj4B+DcjHtQnpoKtTCYI6oWWz1fLszbCfY2Bp7i43//A77+WgnqiJrAztoK793WAw42Vtgal8F0JWT2Mr9aAveJE+F+8wTYRUTAf95cWNrbI2flqnqPD3rrTXjefjvsO3eGXdu2CHjlZVkbu3DHDqiFwRxRNe0QaydDr/xw+DCwebOSU04sfiBqoghfF7w8TqkO8b8/T2B7XIbaTSJqUfn5+cjLy9NtpaWl9R6nKStDydGjcBo4QHebhaUlnAYMQPGBA416rqriEmgqKmDl5ga1MJgjuqBnzuDny4leOWHCBCA4WO3WkJG6pVcwJvUOlnmnH/7+ANLyOX+OTEdkZCTc3Nx02/z58+s9riI7B6ishNUFqZ2svL1QkdG4Hzlpb78Fa19fOA0cCLVYq/bMRIa6ktWQgzkxJ+Obb5T9xx5TuzVk5OaN6YKDCbnyvf/IsgP45p5+sBKTRomMXExMDIKCgnTX7ezsWuV5MhYtRt669QhdugSWrfQcjcGeOSLRTV5VayWrIQ+zfvwxUFYG9OsHDKgZFiBqDgdbK3w0pSecbK2w43Qm3tl4Qu0mEbUIFxcXuLq66raGgjlrD3c5ZaXygsUOlRmZsPb2vuRzZH7+BTIXL0abzz6TiybUZBA9c0t3xOPTzaeRXlCKzgGumDcmCj1C3Bs8fu2hZLy9MRaJ2cUI93LC0zd0wvBOvvI+UUj6rd9j8ffxdJzLKoKLvTUGR3hjzg2d4Odqr8e/ioyJeK+UlFfB1toSYV5OMEglJcBHHyn7jz+udmvIRIiV269N6IpHvj8gy311CXLF9V0C1G4WkV5Y2NrCPioKhTt2wuXaa+VtGrGYYedOeNxxR4OPy/zsM2R88inafLYYDl2V+adqUr1n7peD5/HKr8fwyLXtsXb2YEQGuODOz3cho6D+yYp7z2bh4e/349beIVj38GCMiPLDfV/v0c13Ki6vxNGkPMy+JgK/PjwYn0zthVMZhbhnyR49/2VkTGKS83SLHwx2mKmyEnjiCUDMyxDz5YhayNgeQZg+KFzuP/7DQd3nKZE58LprGnJWrEDO6jUoPXUKKXPnoaq4GO4Txsv7z8+Zg7S3F+qOz1i8GOnvvoeAV1+FTVAQKtLT5VZVWGi+wdxnW89gct8QTOodgvZ+Lnh1XFfZ9f/DnoR6j/9iWzyGdvDB/UPbyRVZT4zoiKhANyzZES/vd7W3kfM+buoWKH9x9mzjgZfGROFwUi6Scor1/NeRsThWHcyJ/FsGy8kJmDMH2LYNsDaITnUyIc+O6oSB7bxQVFaJe5fuQU5RmdpNItIL11Gj4Puf/yD9/fdwZtx4lBw/jjaLF+mGWcvPJ8tgTStn2ffQlJcj6ZFHcPKqIbot84svVfsbVP1GKKuowpGkXDw0rJ3uNktLCwyK8Ma+szn1Pmb/2WzMuErJYK41pIMPfj/acGma/JIKWcLG1b7+P1csWa69bFksaSbzEnO+OpgLNOBgjqgVWVtZ4oPbe2LMB1vltIPZy/bjy7v6yNuJTJ3nlDvkVp/Qr5fWuR6x6U8YGlX/lWYXlcns497OdScm+jjbyflz9RG3ezvbXnC8bYPDsiXllViw4RjGdA+Ei71NvceIJcu1lzCLJc1knsOsYs6mQfrPf4AffgAqKtRuCZkwTydbLL6zt0wo/M/JDCxYf1ztJhFRI5j0Ty6xGGLWd/tkHqVXqhNk1ueZZ55Bbm6ubhNLmsl8ZBeWITm3xHATBov345tvApMnA2fPqt0aMnHiB81bE7vrpsF8vZPvOSJDp2ow5+FoKyebX9irJnrfRO9cfcTtGQV153KkF5Rd1LsnArmZ3+6TK16/mdGvwV45QSxZrr2EWSxpJvObLxfq5XjJ94nqSYLHjgXa1UxJIGotN3YLwBPXdZD7L/50BH8dT1O7SURkqMGcSAPRJcitTikZke9re1wmeobWn5okOtTjotIzW0+mo2eox0WBXHxmIb69px88nOoOyxLVN8RqkIsfkpOBJUuUfaYjIT2adXUEJvYKRpUGmPndPjm/mYgMk+rDrPcMDsey3Qn4cW8i4tLy8dyaIygqq8DEXiHy/seXH8DrG2rmbUwfFIbNJ9KxeMtpxKUVyCSXYqXqtAFhukDuwW/2ydv+d2s0KjUaWaZGbGLBBVFDix8Mcr7cu+8qSYJFOpLBg9VuDZkRCwsLmX9O5OkUK1ynf7WbGQGIDJTq+Q1Gdw9EVmGZDMrS80vROdAVS6b3hY+LMmwqPjzEh4pWr1BPvDs5Gm//Hos3f4tFmLcjFk3tjY7Vc51Sckvwx7FUuT/qvX/qPNeye/tjQLu69deIDLZnLjdXqfggPP20+HZVu0VkZmysLGWFiFs+3o4TqQW464t/seKBAXB35GgHkSGx0GjE8gCqLTExESEhIUhISEAwC5mbtNKKSkS98BsqxPD+01cj0N0BBmPBArE6B4iKAg4dEnl71G4RmSnxo3rCR9uQmlcqq/OI6StOdqr3BRBdJNFMv7/57UBm7WRqgQzk3B1tEOBmYOXeoqOVGqwiUTADOVJRkLsDvp7RT/47OZCQI6vuiB9CRGQY+A1BZk03X87ftc5wvkEYORLYsQO4RH1AIn3p4OeCr+7uC0dbK2yLy8TDy/ajopLzkIkMAYM5MmuHkpRKI92C3WCQRIDJXjkyEGKIVSQVtrWyxG9HUzFn5WGZgYCI1MVvCTJrhxOVdAtdDSmY+/ln4NVXgZz6S9oRqUmUW3z/9mhYWgAr9yXi6VWHGNARqYzBHJktkarmWLJSh7dbUP15DfWuqgp4/nngv/8FPvxQ7dYQ1WtklD/eubWHDOh+2JOIOSsZ0BGpicuRyGzFpuSjrLJKTuoO8TSQVaxr1igrV11dgYceUrs1RA0a2yNIXj62/ABW7E2U+6/f3A2WIsIjIr1izxzB3OfLdQ1yM4zFD6JXbt48Zf+RRwCPmqomRIYa0P1vsjLkKgK6p348xEURRCpgMEdm61BCrmEtfqjdK/foo2q3hqhRxnQPlInctXPoZn23n2lLiPSMwRyZrUPVtSa7GsJ8uQt75Tw91W4RUZMq+Xx0R0+5ynXD0RRZ+qugtELtZhGZDQZzZJZKyitxIjXfcHrm2CtHRu76LgH46u4+cKrOQ3fH4p2yVCMRtT4Gc2SWjp7PQ2WVBt7OtoZR+aFbN2DqVODxx9krR0ZrYIQ3vru3PzwcbXAwMRcTP9mOhKwitZtFZPIYzJFZOpyoTRbsbhiLHyIigKVLgRdeULslRFeke4g7VjwwUP5IOpVeiPEfbcP+c9lqN4vIpDGYI7Mkeg2ELkEGMMRamyEElkRXKMLXGasfGoSoQFdkFJRh8qKdWHc4We1mEZksBnNklvZV9xT0bKPy4ofFi4HJk4G4OHXbQdTC/N3s8cP9A3BNJ1+UVlThoW/34aO/46DRMLkwUUtjMEdmJz2/FGczlXk80W1UzOVWVAS8+CKwfDmwbp167SBqJU521lh0Z2/cNTBMXn9jQyxmL9uPojKudCVqSQzmyGx75Tr4OcPNwUa9hrz7LpCcDISFAfffr147iFqRlaUF5o6Jwstjo2BtaYFfDyVj/IfbEZ9RqHbTiEwGgzkyO/vOKsFcr1AVe+WysoDXX1f2X34ZsLNTry1EejB1QBi+v68/fFzsEJuaj9EfbMWm46lqN4vIJDCYIzOeL6diMPfqq0BurpKS5Pbb1WsHkR71DvPE2tmD0TvUA/klFZj+1R689VssS4ARXSEGc2RWyiqqdCtZVeuZO3ECeO89ZV/0zlnynyGZD19Xe5mLbtqAUHn9g7/iMOnTHcxHR3QF+C1CZuXo+VwZ0ImkpuHeTuo0YsECoKICGDUKuP56ddpApCJba0vMG9sFH9weDRd7a+w7l4NR7/6Dnw4kqd00IqNkrXYDiPRpT3zNEKtqyYLffx9o0wa47TZ1np/IQNzULRDdg93x6PID2Hs2G498fwBbTmTgxTGRcLVXcXESkZFhzxyZlZ2nM+Vlv7YqlsxycgLmzgU6dlSvDUQGIsTTEcvv64+Hr2kPSwtg5b5EjHxnC/6KTVO7aURGg8EcmQ0xyfrfM1lyf0Bbb/03ICYGqOJEb6ILWVtZ4vHrOuD7+wYg1MsRybkluPvL3XhyxUHkFpWr3Twig8dgjsxGTHIe8ksr5BydyEBX/T55UhLQvz/Qt6+SW46ILtI33BMbHhmC6YPCZWW7H/cm4rp3NmPDkRRWjiC6BAZzZDZ2nKoeYg33lIlM9Wr2bCA/H7CxAfz89PvcREbEwdYKL4yOxIr7B6CttxPS8kvxwDd7cfdXu3E2k4mGierDYI7Mbr5c/7Ze+n3in34CVq8GrK2BRYuYioSokTnp1j1yFWYObwcbKwv8HZuO697Zgnc2nkBJeaXazSMyKPxWIbOZL7e7eiWrXoM50Rs3a5ay/8QTQNeu+ntuIiNnb2OFp0Z2wm+PDsFV7b1lWqF3/zwph15/PXSeQ69E1RjMkVk4lJSLgtIKWYs1MkCP8+X++18gMREIDwdeeEF/z0tkQtr6OGPp9L748Pae8He1R0JWMWZ9tx/jPtquW9REZM4YzJFZEEM0wqAIL1jqa77c5s1KTjnhk08AR0f9PC+RCRJ5IW/sFoA/nxiKx67tAEdbKxxMyJHVI+5dugdxaQVqN5FINQzmyCz8XZ2zalhHX/09qVjo0KsXcM89wIgR+nteIhPmZGeNR65tj7+fGoY7+rWRi5k2xqRixDub8djyAwzqyCyxAgSZvPT8Uhyqrsc6rIOP/p64Uydg+3agnHmyiFqar4s9Xh3fFXcPCsPrG2JlQLd6fxLWHEjC6G6BmH11BNr7uajdTCK9YM8cmbwtJ5Qh1i5BrrLId6vLqjWHR6Qi4fAqUauJ8HXB4jt745dZg3FtZz+INRE/HzyPEf/bgpnf7pNDsUSmjsEcmTxtWaDh+hhijY8H2rdXFj5UVLT+8xGR1DXYDZ9N641fZw/GyCglqFt7OBljP9yGiZ9sl4mHK6u4+pVME4M5MvmUJNqeuWEdW3mItbQUmDRJ6ZnbuJGlu4hU0CXIDZ9O7Y31j1yFCT2DZI46kZZIJB4e/tbf+HLbGeQWc+oDmRYGc2TSdpzORF5JBTydbNEjxKN1n+ypp4DduwEPD+CHHwBb29Z9PiJqUOcAVyyc1ANb51wtEw+LtETnsoow75cY9HvtDzzxw0HsPZvFXHVkErgAgkzausNKHdSRUf6tW8Lr669r0pAsXQqEhrbecxFRo/m52svEwzOHR2DlviR8u/MsjqfkY+W+RLl19HPB5L4hGNsjSP7oIzJGDObIpIdYfzuaKvdv7BrQek+0dauSfkR49lngppta77mIqFkcba0xtX8opvRrg/0JOfhu1zlZRSI2NV/21r269hiGdvDB2OggXNfZT9aIJTIWDObIZO06k4WswjJ4ONqgf1vP1nmSnBxg/HigrAyYMAF4+eXWeR4iarHkwz3beMjt+Zsi8dOBJCzfnYCj5/Pw5/E0uTnZWsne/NHdAzEwwgt21gzsyLAxmCOTJYZQhOu7BMDaqpWmh7q7AwsXAp9+qgy1WnIaKpGxEPPo7hwQJre4tHys2X8ePx1MkuXCVu1PkpsI7IZ18pXBnVhE5Wpvo3aziS5ioeHsz4skJiYiJCQECQkJCA4OVrs51Az5JeXo8+ofKCmvwsoHB6JXaCsvfhArVxnIERk98ZW471yO7LH77WgKUvNKdfeJlbED23njms6+uKq9D8K8HGVPHxmORDP9/mbPHJmktYeSZSDX1scJPdu4t+zJ8/OBWbOABQuAgOq5eAzkiEyCCM7Ejz+xzR0dhUNJufj9aIoM7E6lF2LziXS5CSGeDjKoG9LeGwPaecuePiI1MJgjk/xlvezfc3J/Yq+Qlv3lLHLIiQUOO3YAsbHKJX+ZE5kkS0sL9Ahxl9t/ru8k676KsmEid+Wes1lyOFYspBCbWC3fLdgNfcM80SfME73DPODuyNWxpB8M5sjk7DmbjYOJubC1tsTE3i3YzZ6UBIwcCRw9qsyV++ADBnJEZiTC11luDw5rh6KyCuw6nSV76f45mS577fafy5Hbp1tOy+NF2pM+4R4yuBMBYRtPDstS62AwRybns3+UD9IJ0UHwdrZrmZPu3w+MGwecOwcEBgK//QZ06dIy5yYio0x1MryTr9yEpJxi7DyVid3xWfg3Pgun0wtl2hOxfbNTGSkQw7Ci907Z3OWlv6s9Azy6YgzmyKScSM3H7zFKbrkZg8Nb5qTffafkkSsuBjp0UAK5sLCWOTcRmYQgdwfc3CtYbkJGQSn2iMDuTLasNHEsOV+WEfvnZIbctMQPzk7+LugoNj/lsoOfC/PcUZMwmCOT8saG47LAtii03d7PpWVWqYrKDiKQu+EGJbATQ6xERJcggjSRFklsQllFFWJT8nEwMQeHE3Pl5cm0Ahn0bY0TW02AJzrqQj0dZVDX1scZ4d6OCPNyQriPE3yc7diTRxdhMEcmY+fpTPxxLE1ORBaTla9IZSVgZaWsUhX548T2wgvKbURETSTm8HYNdpObVnFZpTIUm5InS4yJkQUR8GUUlCE+s0hugDLSoOVsZ40wbXDn7YRgDwcEuTsiyMMBAW72sLfhZ5Q5YjBHJkFMRn565SG5P7lPCNr5ODfvRGfOAE89paQc0dZajYgA5s1rwdYSEUEOpWpXy9YmeutOVAd3ZzIKcSazCGcyCpCUXYyC0gocScqTW0M9giKwC3Z30AV4vi728HW1k7164lLM9yPTwv+jZBKpSF7+9Zj8FSs+uJrVK3fypJI3bulSoKICsLUFnnsO8PdvjSYTETVIBGTeEXYYGOFd5/bSikokZInATgnuxKVYeJGUrVyK3JoiEBTbwYScBs8vevd8Xezg4yKCOxHs2cHTyRYejmKzkSlVlOvKvuhVJMNmEMHc0h3x+HTzaaQXlKJzgCvmjYm66JfKhQlh394Yi8TsYoR7OeHpGzrpVhRpv9zf2XgCy3YnIK+4XOb7eWVcV9klTabnk82ndXnlXr+5W+MTdxYUAOvWAYsXA3/8UXP7ddcBb73FQI6IDIqoERvh6yI3wK/OfeJ7L7uoXPbeJeUUye/H8zklSMkrRlpeKdLyxVYiAz7Ruye20xmFjXpeEfy5O9rIAE8Edy721nCxs1Yu7W3k/dp95dK6+jblup21pcHP88v69ltkff4FKjIyYNepE/z/+xwcunVr8Pi8DRuQ/u57KE9Kgm1oKHyffALOQ4fCbIO5Xw6exyu/HsMr47sgOsQdX2w7gzs/34VNTw6rN62EWBX08Pf78Z+RHWVJlZ8OnMd9X+/Br7OvkquAtF/uX26Px9sTuyPE0xFv/34Cd36xCxsfG8r5BCZE/EoV/28XVed0EkWzh3TwafgBZWXK5lw9BLtsGXDffcq++KAZNUrpjRswQB/NJyJqMSJYEsGW2GrPy7sw4BNBnAzs8kplB0paXom8zC4sQ1ZhOXKKypAtN2W/SgNd8CcCxOYQ85gdba3gZGstLx3trORQ77geQbi9XxuoLW/dOqQteB3+c+fCoXs3ZC1ZinP33It269fB2svrouOL9u1H0hNPwvfxx+A8bBhyf/0VCbNmI3zlj7AXGQ/MsTbr2A+3oXuwG14aq+TsqqrSYMCCPzFtYBgeGhZx0fEzv9snJ41+cVcf3W3jPtyGyEBXvDa+q3yz9n3tT9x7VTjuG9JO3p9XUo7er/yBtyZ2x5jugarVdhPtyE/NhGVOtrwuX/kLXv4qH19oHB3lzRb5ebDKUFY4aTRVygHVx4uLSj9/aJydIW4Rx1qnplTfp6lzXrEnjq1ydVPOW5APa5EAt/pei9rHaoAKPz9UeXgqNxQWwOZsfM2J6pxXgwq/AFR6Vw8FFBbC9lRczR9z4bG+/qjwq+7tKiqCfezx+o+tbkN5YPVrX1IMh5jDuvuLSivkZOE/YlLlcEKakwduueUqPHptB9kGbNqkVGoQW3IyEBenbGIo9cUXgaefVk6UkgIMGQJMmqSkHmG6ESIiHfF9LL63RGCXVVhWHeiVy9rXBSUVyC+tkPv5Yl9u5TLo014X+5cya3gEnhzZsUXbnNiM7+8zk26FQ5cu8H/heXldU1WFuGHD4TFlCrzvu/fi53jsMWiKihHy6Sc157j1Vth36oyAeXNhdj1zYqn2kaRcPDRMCbq05VMGRXhj39n6x/v3n83GjKva1rlN9MaI2nmCKK+Snl8qz6Hlam8jh233nc2uN5grLS2Vm1a+qL3ZCr7ZeRZpr7yJuX8uavCYaRPnYXPbXnJ/0sHf8caG9xo89v5xz+K3jgPl/uiYzXj/lzcbPPaxGx/H6i5Xy/1rT+7CZ6tebvDY50Y8hG+jR8n9gfEH8N3y/zZ47MvDZ+DzvuPlfnTScaz+5skGj3178B14f9Btcr9T2hls+HJ2g8d+3O8WvD7sLrnfJjsZWxbV/QclOr8nVe/H3z4dYdfOUK5kZgJjxjR4XhxSFklIYhj1xImGjyUiMmPi+1gMq4qtOdOURDBYUFaBotJKuUitqExcVqKwrEJ2yrTm1Kf8/Hzk5dUsErGzs5PbhTRlZSg5erRO0GZhaQmnAQNQfOBAvecuPnAQXndNq3Ob86DByP/zT6hF1WBOdOVWVmkuGk4VK25EaZT6iO5gb+e69e58nG1lD41yf4nuHBeeUzy2PvPnz8c8PaxWtLa0gIWNNYqta9qmqZ5GoIGyY13dDS1Y2tqgwNahzjk0teYd2NjZyHkL8nH2dsizr1nBqbngeHG/di6ZjYMdshwv6IavNZ3BytFBTnwV3fYOTg7IcPa46EBtu61cnHT/PxxdHJHqWnfCbu0TW7i6yom2gluJA5Ldfes5r3JZ5e4uFzMInhpHJHlWF7TX/u3WVtXd9dYI6xhac4foEu/TB/D0VDYfH2U1qtjatwfa1fxwICKi1g0GRWeK2PQtMjKyzvUXX3wRc+de3GtWkZ0jU1FZXTCcauXthVKR3aAeYl6dlZf3RceL2812zpwheOaZZ/D444/rriclJV30RmgJcth3yIcAxFa/z+tcux7AWw0e+0GdayNFP1mDx4o+u5p+uxGi/63BY1+q3hTXAZ/XvDYXerZ60x370YMNHivOUudM/6vuTavHzOpN5/Xb0ShOTsC//zbuWCIiMkkxMTEICgrSXa+vV86UqBrMiWXQYmKktldNS/SgXdizpiVuFwkV6x5fpuvd83G2151DLLmufc7IANd6z3lh92vtrlkiIiIyLi4uLnB1rf87vzZrD3eZDL5STNGppTIjE9ba+eAXPsbbG5WZGY0+Xh9UTR4jctd0CXLD9lplTMQY+/a4TPQMrT81SXSoR53jha0n09EzVBkKDPF0kLlzxDm0xKTMAwk5umOIiIiILGxtYR8VhcIdO3W3iQUQhTt3wqFHj3of49Cje53jhcLt2xs8Xh9UzwR4z+BwmQ/ux72JiEvLx3NrjsiJkhN7hcj7H19+AK9vqFn1OH1QGDafSMfiLacRl1Yg88kdTsrFtAHKSkQxz2v6oHC8v+kkNsak4nhKHh7/4SD8XO0wIrJuXh4iIiIyb153TUPOihXIWb0GpadOIWXuPFQVF8N9grK47/ycOUh7e6HueM+pd6Jg61ZkfvElSk+fRvr7H6D46FF43NHI6UCmOGdudPdAueRZBGViFWrnQFcsmd5X9q4JIqt17WSDvUI98e7kaLz9eyze/C1W1qhbNLW3Lsec8MDQtiguq8Azqw7LZdV9wjyw5O6+zDFHREREdbiOGoWKrGykv/8eKtMzYNe5M9osXqQbNi0/nyyWuOqOd+wZjaC33kT6/95F+jvvwDYsFCEfvK9ajjmDyDNniForzxwRERG1nkQz/f5WfZiViIiIiJqPwRwRERGREWMwR0RERGTEGMwRERERGTEGc0RERERGjMEcERERkRFjMEdERERkxBjMERERERkxBnNERERERkz1cl6GqKqqSl4mJyer3RQiIiJqpOTq723t97i5YDBXj9TUVHnZt29ftZtCREREzfgeb9OmDcwFa7PWo6KiAvv374efnx8sLVt/JDo/Px+RkZGIiYmBi4tLqz+fMeJr1Dh8nS6Pr1Hj8HVqHL5OhvUaVVVVyUAuOjoa1tbm01/FYM4A5OXlwc3NDbm5uXB1dVW7OQaJr1Hj8HW6PL5GjcPXqXH4Ol0eX6PWxwUQREREREaMwRwRERGREWMwZwDs7Ozw4osvykuqH1+jxuHrdHl8jRqHr1Pj8HW6PL5GrY9z5oiIiIiMGHvmiIiIiIwYgzkiIiIiI8ZgjoiIiMiIMZgjIiIiMmIM5gxMWFgYLCws6mwLFiyAufvwww/la2Nvb49+/frh33//VbtJBmXu3LkXvW86deoEc7ZlyxaMHj0agYGB8vVYs2ZNnfvF2q8XXngBAQEBcHBwwLXXXouTJ0/C3Fzudbrrrrsuem9df/31MCfz589Hnz59ZPUCX19fjBs3DrGxsXWOKSkpwcyZM+Hl5QVnZ2fcfPPNutKQ5qIxr9OwYcMuej898MADqrXZVDCYM0AvvfSSLBas3WbPng1ztnz5cjz++ONyafu+ffvQvXt3jBw5EmlpaWo3zaBERUXVed9s3boV5qywsFC+V8QPgfq88cYbeO+99/DJJ59g165dcHJyku8r8aVsTi73OgkieKv93lq2bBnMyebNm2WgtnPnTmzcuBHl5eUYMWKEfO20HnvsMfzyyy9YsWKFPP78+fOYMGECzEljXifh3nvvrfN+Ev8W6QqJ1CRkOEJDQzXvvPOO2s0wKH379tXMnDlTd72yslITGBiomT9/vqrtMiQvvviipnv37mo3w2CJj7rVq1frrldVVWn8/f01b775pu62nJwcjZ2dnWbZsmUac3Xh6yRMmzZNM3bsWNXaZIjS0tLka7V582bde8fGxkazYsUK3THHjh2Tx+zYsUNjri58nYShQ4dqHnnkEVXbZYrYM2eAxLCq6KoXhYLffPNNVFRUwFyVlZVh7969cghMy9LSUl7fsWOHqm0zNGKIUAyVtW3bFnfccQfOnTundpMM1pkzZ5CSklLnfSVqR4ohfL6vLvb333/LYbOOHTviwQcfRGZmJsyZqDEqeHp6ykvxGSV6oWq/n8Q0hzZt2pj1++nC10nr22+/hbe3N7p06YJnnnkGRUVFKrXQdFir3QCq6+GHH0bPnj3lm3/79u3yjS66oRcuXAhzlJGRgcrKSvj5+dW5XVw/fvy4au0yNCII+eqrr+SXrXi/zJs3D1dddRWOHDki569QXSKQE+p7X2nvo5ohVjFcGB4ejlOnTuHZZ5/FDTfcIIMUKysrmJuqqio8+uijGDRokAxGBPGesbW1hbu7e51jzfn9VN/rJNx+++0IDQ2VPzwPHTqEOXPmyHl1q1atUrW9xo7BnB48/fTTeP311y95zLFjx+QvOTE3TKtbt27yA+L++++XE0tZCoUaIr5ca79vRHAnPjB/+OEHzJgxQ9W2kXGbPHmybr9r167y/dWuXTvZW3fNNdfA3Ig5YeJHkrnPSW3u63TffffVeT+JBUjifSR+KIj3FTUPgzk9eOKJJ+SKsEsRQ2P1EV/KYpg1Pj5e9rqYG9EVL379X7gqTFz39/dXrV2GTvQQdOjQAXFxcWo3xSBp3zvifSS+TLTE9R49eqjYMsMnPqvEv0vx3jK3YG7WrFn49ddf5Qrg4ODgOu8nMSUkJyenTu+cuX5ONfQ6NfQdJ4j3E4O55uOcOT3w8fGRvW6X2kQPXH0OHDgg54iJ+SrmSLwuvXr1wp9//lmn+15cHzBggKptM2QFBQXyl27tQIVqiCFD8SVb+32Vl5cnV7XyfXVpiYmJcs6cOb23xNoQEaCsXr0amzZtku+f2sRnlI2NTZ33kxg6FPNWzen9dLnXqaHvOMGc3k+tgT1zBkTMQRFfJsOHD5fznMR1sdx9ypQp8PDwgLkSQ8/Tpk1D79690bdvX/zvf/+TS93vvvtutZtmMJ588kmZK0wMrYqUCCKNi+jRvO2222DOAW3tnkmx6EF8cYj5qGJiupjP88orr6B9+/byS+f555+X83hEbixzcqnXSWxi/qXImSaCX/ED4T//+Q8iIiJkGhdzGjL87rvv8NNPP8nPZu08OLFoRuQoFJdiOoP4rBKvmaurq0wpJQK5/v37w1xc7nUS7x9x/6hRo+QiPzFnTnzHDRkyRA7f0xVQezkt1di7d6+mX79+Gjc3N429vb2mc+fOmtdee01TUlKiMXfvv/++pk2bNhpbW1uZqmTnzp1qN8mg3HrrrZqAgAD5+gQFBcnrcXFxGnP2119/ybQIF24i1YY2Pcnzzz+v8fPzkylJrrnmGk1sbKzG3FzqdSoqKtKMGDFC4+PjI1NviNRJ9957ryYlJUVjTup7fcT25Zdf6o4pLi7WPPTQQxoPDw+No6OjZvz48Zrk5GSNObnc63Tu3DnNkCFDNJ6envLfXEREhOapp57S5Obmqt10o2ch/nMlwSARERERqYdz5oiIiIiMGIM5IiIiIiPGYI6IiIjIiDGYIyIiIjJiDOaIiIiIjBiDOSIiIiIjxmCOiIiIyIgxmCMiIiIyYgzmiMiohYWFyRJvremrr76ChYWF3EQZsMaaO3eu7nGt3UYiMl8M5oiIGkHU20xOTsbLL7/cpJq54jHBwcGt2jYiMm/WajeAiMgYiN41UWy+KZydneVmZWXVau0iImLPHBGpYtGiRQgMDERVVVWd28eOHYvp06fL/VOnTsnrfn5+Mijq06cP/vjjjwbPGR8fL4OuAwcO6G7LycmRt/3999+6244cOYIbbrhBnlOce+rUqcjIyGhS+48fPw5HR0d89913utt++OEHODg4ICYmpknnIiK6EgzmiEgVEydORGZmJv766y/dbVlZWdiwYQPuuOMOeb2goACjRo3Cn3/+if379+P666/H6NGjce7cuWY/rwjurr76akRHR2PPnj3y+VJTUzFp0qQmnadTp05466238NBDD8n2JCYm4oEHHsDrr7+OyMjIZrePiKipOMxKRKrw8PCQvWOiZ+uaa66Rt/3444/w9vbG8OHD5fXu3bvLTUvMV1u9ejV+/vlnzJo1q1nP+8EHH8hA7rXXXtPd9sUXXyAkJAQnTpxAhw4dGn0uEcitW7cOU6ZMga2trew5nD17drPaRUTUXOyZIyLViB64lStXorS0VF7/9ttvMXnyZFhaWup65sQigs6dO8Pd3V0Oix47duyKeuYOHjwoewO189nEJnrZtMO6TSUCwUOHDmHfvn26Va9ERPrEnjkiUo0YMtVoNFi7dq3s1frnn3/wzjvv6O4XgdzGjRvlcGZERIScj3bLLbegrKys3vNpg0BxTq3y8vI6x4gAUTyvGA69UEBAQLOCw8LCQvncYuVqc85BRHQlGMwRkWrs7e0xYcIE2SMXFxeHjh07omfPnrr7t23bhrvuugvjx4/XBWJikUNDfHx85KUIqsRQqlB7MYQgzi96A0V+OmvrK/sIFHP8RPuee+45+Zyip1H00Imgk4hIXzjMSkSqEgGQ6JkTw5XahQ9a7du3x6pVq2RAJnrAbr/99otWv9Ymgqj+/ftjwYIFcjh28+bN+O9//1vnmJkzZ8og7LbbbsPu3bvl0Opvv/2Gu+++G5WVlU1qu1jwIObaiedYuHChfLzoTSQi0icGc0SkKrGy1NPTE7GxsTJYq00ESGKhxMCBA+XQ6MiRI+v03NVHBIUVFRXo1auXrNbwyiuv1LlfpEMRPX4i8BoxYgS6du0qjxNz8rTDtI2xdOlSufjh66+/lj18Tk5O+Oabb7B48WKsX7++ia8CEVHzWWhqTy4hIqKLiIUNIuATaU2aQwzpisc3pRQYEVFjsWeOiKgRcnNz5crXOXPmNPoxIv2JeMyVrL4lIroc9swREV1Gfn6+TCwsiOFYkQuvMcTcPLFpF2e4ubm1ajuJyDwxmCMiIiIyYhxmJSIiIjJiDOaIiIiIjBiDOSIiIiIjxmCOiIiIyIgxmCMiIiIyYgzmiIiIiIwYgzkiIiIiI8ZgjoiIiAjG6/8sgKxjKofRsQAAAABJRU5ErkJggg==", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "stochast = Stochast()\n", "stochast.distribution = DistributionType.gamma\n", "stochast.scale = 2.0\n", "stochast.shape = 4.0\n", "\n", "stochast.print()\n", "stochast.plot()" ] }, { "cell_type": "markdown", "id": "eb3eb665", "metadata": {}, "source": [ "### Beta distribution" ] }, { "cell_type": "code", "execution_count": 73, "id": "0e0dba52", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Variable:\n", " distribution = beta\n", "Definition:\n", " shape = 2.0\n", " shape_b = 2.0\n", "Derived values:\n", " mean = 0.5\n", " deviation = 0.2236\n", " variation = 0.4472\n" ] }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "stochast = Stochast()\n", "stochast.distribution = DistributionType.beta\n", "stochast.shape = 2.0\n", "stochast.shape_b = 2.0\n", "\n", "stochast.print()\n", "stochast.plot()" ] }, { "cell_type": "markdown", "id": "8c90e96c", "metadata": {}, "source": [ "### Poisson distribution" ] }, { "cell_type": "code", "execution_count": 74, "id": "4e3fd97b", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Variable:\n", " distribution = poisson\n", "Definition:\n", " scale = 0.0\n", " shift = 0.0\n", "Derived values:\n", " mean = 4.0\n", " deviation = 2.0\n", " variation = 0.5\n" ] }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAnwAAAGwCAYAAAAzL7gEAAAAOnRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjEwLjAsIGh0dHBzOi8vbWF0cGxvdGxpYi5vcmcvlHJYcgAAAAlwSFlzAAAPYQAAD2EBqD+naQAAWq5JREFUeJzt3Qd4U+X+B/Bvkrbp3rsUKJbR0tKWUWQpClcFBBmiOFHEve4F/yLXq4CiwEXhot6roKKgqKjgAEVBEZSpjLIKlFWgg+69M/7Pe0rSpk1LW9qeNPl+nufYnJM357yJh+bX37sUer1eDyIiIiKyWkq5K0BEREREbYsBHxEREZGVY8BHREREZOUY8BERERFZOQZ8RERERFaOAR8RERGRlWPAR0RERGTl7OSuQEel0Whw8OBBBAQEQKlk3ExERNQR6HQ6ZGRkIC4uDnZ2thMG2c47bWUi2IuPj5e7GkRERNQCf/75JwYMGABbwYCvhURmz3DDBAUFyV0dIiIiaoL09HQpYWP4HrcVDPhayNCMK4K9Tp06yV0dIiIiagaljXXHsq13S0RERGSDGPARERERWTmLaNJdvTsZy7efRVZxBSKC3DFvXG/EhnqaLfv5nxew/kAKTl4qkvajO3ng/27uZVJer9dj6ZYkfP7XRRSWVaF/Vy/MHx+NMF8XY5n80krM+f4Yfj2eCYUCGBUViDlje8NFbREfCREREZH1ZPg2HErD/I3H8ezI7vjh6aGIDHLD/R/uRXZxhdnye87mYFxMMD5/5Fqsf2IIgjyccN+He3GpoNxY5r3tZ/HRrmS8Nj4K3z45BE72drh/5V6UV2mNZZ79IgFJGcX45KF4rHxgAP48l4vZ64+0y3smIiIisqmA74Md5zAlPhR39A9F9wA3vDY+Gk4OKny576LZ8sumxOG+QV3RO9gD4f6uWDSpD/R6YOfpbGN2b+XOc3j6xnDc1DtQyhguuTMGGYUV2JyYIZU5nVmE7UlZWDQpGnGdvTCgqzfmjuuNDYfTkFFYEzgSERERWQNZA75KjQ5HUwswJNy3pkJKhbR/4Hx+k85RVqVFlVYHT2d7af9ibhmyiipMzunuaC81+R44nyfti3O7O9qhT6eaZuCh4b5QKhQ4eMH8dSsqKlBYWGjcioqqm5SJiIiILJ2sAV9eaSW0Oj18XdUmx/1c1VJ/vqZYuOk4AtwdjQFeVnG58RwNnVP8rHtNO5USnk72DV53wYIF8PDwMG6RkZHNeKdERERENtykezX+t+00NhxKx/L7+sHRXtWm15o9ezYKCgqMW2JiYptej4iIiKi1yDok1cvZASqlot4ADZFlq5uhq2vF72fw7rYzWDN9oNRPz8DP1dF4Dn/36seG/cjL5cS5615To9Uhv6yqweuq1WppMxDNukREREQdgawZPgc7JaJCPLDr8oALQafTY9fpHPTtYn5aFuG97Wfw9q+nsWpavEk/PCHU2wl+bmrpHAZF5VVIuJiPvl28pH1x7sJyDY6kFBjL7DqTA51ej7jODV+XiIiIqCOSvUl3+tAwab68r/enSKNnX/z2KEorNZjcL1R6fsbaBCz66YSxvMjqLdmchH/f3gedvJyQWVQubSUVGul5hUKBaUPC8PbWU9iSmIETlwox48tDCHBX46bI6nXzwv3dcH0PP7yw/rAUCO5LzpXm5BvbJ1jqD0hEREQklP71Fy4+9jhODbsOx3tFoOiXX3AlJXv/xNmJE3Eiug9O33Qz8td/A7nJPsvw2Jhg5JZUShMli9G1EcHuUuZOZOmE1PwyKYgz+HTPeVRqdXh8zQGT8zw7ojv+8bce0uPHru+GskqNNK9eYXkVBnT1wqoH4036+S2bEouXvzuGe97fI43OvSUqUJqahYiIiMhAV1YGda+e8Jg0EalPP4MrqUxJwcXHHoPXnXciZPFilOzeg/SXXoKdnx9chw2FXBR6MXEdNVtKSgpCQ0Nx8eJFdOrUSe7qUCtOFaRUVI/abg4xqXdbDxyiViZ+9VWYGZUv/sCs1V9XKqPTNXweJ6eax+XljZd1djYtq62ZDL4eFxfTshpN42UNfxiXlTVe1tXVtGxVVeNlDQvMi7KVlY2XValqyoo6N8TNDbCzqykrtsbK2ldPuyWVKy1tvKyDQ/Vjcf3i4sbLGv4/i7KNTbUlyjo61twPBQWNlzXcE6Jsfn7jZQ33hPhsc3Mb/3zFJoj/Z1lZjZd1v9y3XdwLGdVz0DZ473he7sok7sf09MbLelV3jZLu89TUhsuK9+XjU/Nv7aL5uXUl4vPy86vZv3Ch+jUBATWfu4V8fx/vFYFO77wNt5EjGyyT+cYbKN6+Hd02bDAeS50xA9rCInT+4H3IRgR81HwXL14UgbL0k6xDpUar7zP3Z/2g13/R63S6Jr9u5+ksfZdZG/X//ul4m9bPJqSl6fWZmTX7ZWV6/bFjDW+XLtWU/fvf9fqYmIa3ioqasrNmia8T81v37qZ16tOn4bLBwaZlBw1quKynp2nZkSMbLmtvb1p23LiGy4qtsrKm7F13NV42P7+m7PTpjZdNTa0p+8wzjZdNSqopO3t242UTEmrKzp/feNmdO2vKLlnSeNnNm2vKLl/eeNlvv60p++mnjZdds6am7Pr1jZddsaKm7M8/N172P/+pKbtjR+NlX3utpuyBA42X/ec/a8qePNl4WfHvxiAlpfGyDz9cUzY3t/Gyd99dU1b822us7Pjxpve7nV31cfGZtOH3d2Jior6goMC4lZeXX/G1iT176Qu3bGm0zLl77tGn1/7/pdfr875epz/Rr79eTrI36RJZitS8MhSUVUlblVYPB7uargSNeXXjcennf387I63rTC3022/AiBHAnDnVm5CUBMTENPyaWbOAhQurHycnA4cONVxWfIUYnDvXWrUmalytLklXZMimNuU8hmxqU85jyKY2pawhm2pO3WvWzoTXVfc8jWXqDFnZ2mVFZrI5n10LRNaZT3fOnDmYO3fuVZ9Xm5UNO5+axR8EO18f6IqLoSsvh7INspZNwSbdFmKTrvVJzi7B8De2SY+T5o+SRpE3xahlf+B4evU0PckLx7RpHTuMkyeBHTvqH7/11upmGuHoUWDv3prnfv0V+Pzz6i8RQ3PgsWPA8OENX+eZZ4CXXqp+nJDQeDOXCCYNX25HjlQ3XXXvXtPsZCDKGJrOhJKShptpxRdS7bKiybGxJt26zbRNbf69UrOy+AIxfDmKpsHGyorP11BWNA02VlZ8ERvKii/gxsqKL3hDWdE02FhZEYAYyopyjZUVQUbtso19ZYn/d4ayTflqq122jYMLsrzv78TERISEhDQ4/VpLm3TP3HwLPCZOhO+jjxiPiSbei48+hp4JB2UL+JjhI6LWd+ONQFpa/eM7d9YEfFu2ADNm1C8zeXLN4969Gw/iaouNbXr9oqOrt6aoHaRdSe3+fFfSnF/6V/gSajRb0pjGsjl1NZYlMhekNZaBqhukNZbZqlu2qZoTwDHYs0lubm5wN/R1bEUqP19ocmqmmxM02TlQurrKFuwJDPiIqHWJbIkh2Lv5ZtMAxNDhW+jWDRg7tn5g8/e/t1NFiYhan3NsLIq3/25yrGTXLjg154/SNsCAj4haV+1Rn2vXAh4e5svddlv1RkRkwXQlJagUI4drTbtSfvw4VB4esA8ORuabS6DJzEDwokXS855TpiB3zWfIWLwYnpMmoWTPHhT+9BNC33tPxnfBgI+IWpto+jt4sLovWe3+bUREHVDZ0WO4MHWqcT9zYXVg5zF+PIIXLoAmKwtVaTXT2Th06iQFdxkLFyJv9SewCwxE0KuvyjoHn8CAj4ga9u67wL/+BcyeDTz3XPWxw4eBYcMafs3MmcDLL7dbFYmI2pLLwHhEnKiejcEcEfSZe023b9bDksi+tBoRWTDRJCsmg928ueaYGClZWNjwZm4yYyIikhUzfER0ZZMm1TyOiABOnWq4bO2BGUREZBEY8BHRlXl7m46kDQ+XszZERNRMbNIlIiIisnIM+IjM0IML0BARkfVgwEd0GSfbJyIia8U+fETUsFtuAcLCgK5d5a4JERFdBQZ8RNSwF16QuwZERNQK2KRLREREZOUY8BHZgsxMICoK8PSs3j7+uOa5bdtqjtfdhg4FMjIAjUbO2hMR0VViky6RLdi9Gzh2rGZfrHNrIIK5ggLzr9u5E+jcGThwAOjdu+3rSUREbYIBH5EtEMuhCXFx1cul+fvXPDd4MJCU1PBrfXxMJ14mIqIOhwEfkS3QX55X0NkZ6N7d9Dlzx4iIyKqwDx+RLWX4lPwnT0Rki/jbn8iWMnycXZqIyCaxSZfIFowaVd1Pz9FR7poQEZEMGPARNZIQsxquruynR0Rkw9ikS3SZAmzuJCIi68SAj8gWJCQA//wn8NFHcteEiIhkwICPyBYcPQosWAB88YXcNSEiIhkw4COypWlZOEqXiMgmMeAjsqVRKJyHj4jIJvG3P5EtYIaPiMimMeAjsgWceJmIyKbJPg/f6t3JWL79LLKKKxAR5I5543ojNtTTbNmkjCIs2ZyEI6kFSM0vw0u3RuKhoWEmZYYs3Co9V9d913bBq+OjpMd3Lt+NvedyTZ6/e2BnvD4hulXfG5HFYJMuEZFNkzXg23AoDfM3Hsf8CVGIC/XEyp3ncP+He7H1ueHwdVXXK19WqUVnH2eM7hOEVzcmmj3n908NgbbWrLlJl4px74d7MTo6yKTcXfGh+Mffehj3nexVrfreiCwKm3SJiGyarAHfBzvOYUp8KO7oHyrtvzY+GltPZOLLfRfxxPDweuVjQj2lTVi06YTZc/rUCRTf3XYGXXyccW03b5PjjvYq+LtxmSmyERMnAgMGAG5ucteEiIhsKeCr1OhwNLUATwy/xnhMqVRgSLgvDpzPb7VrfHswFdOHdYOiTmbju4Q06Tk/NzVGRATgmRu7w8mh4SxfRUWFtBkUFRW1Sh2J2oWPT/VGREQ2SbaAL6+0Elqdvl7TrZ+rGmeySlrlGpsTL6GwXIPb+3UyOX5bbAhCvJwQ4K7GifQiLNx0AmezirH8vv4NnmvBggWYN29eq9SLiIiIqD1ZdQ/utX9dxPAefghwd6w3QOP6Hn7oFeiO8XEhWHJHDH4+loHzOQ0HmrNnz0ZBQYFxS0w034eQOq4O0b1N9E+97TbAy6tmq30vLlpk+pxhE29u0iRg/Xo5a09ERLaW4fNydoBKqUB2cU0zqSBG64os39VKySvFztPZeO/eflcsG9u5ul9gck4puvi4mC2jVqulzaCwsPCq60jUbDk5wPffmx+QIZSXA/kNdIkQwV7fvm1bPyIiskiyBXwOdkpEhXhg1+ls3Nw7UDqm0+mx63QO7h/c5arP/9W+FGkAx429/K9YNjGtOnjzd7v6QJOo3Zw4UZ2561Lr38tTTwF33WW+vPiDpXZZIiKyGbKO0p0+NAwzvzqE6E6eiA31wIc7klFaqcHkftWjdmesTUCAhyNm3dLLOAjjVGb1YIkqrQ4ZheU4llYAFwc7dPWtycyJwPHr/SmY1LcT7FSmrdai2VYM2Lihpz88ne1x4lKRNMVLfJi3NA8gUYfRo0f9dmgOziAiIksL+MbGBCO3pBJLtyQhq6gCEcHuWDUtXho5K4gJlGuPrhUB3pi3dhj3V/x+VtoGhnlj7aODjMd3nM6WXntHf9PBGoK9Sik9L+b8K63UItjDEaOiAvHUjfWngSEiIiKyBrKvtDF1cFdpM6d2ECeEejsjeeGYK57zuh5+DZYL9nTCl3XOS9RhiGbZhx6SuxZERNTByB7wEVEziImTP/hA7loQEVEHY9XTshARERERM3xEHYuYgsWwyou7eweZPJCIiOTGgI+oI8nNBfz86s+/R0RE1Ag26RIRERFZOQZ8RA2sYEZERGQtGPARERERWTkGfERERERWjgEfERERkZVjwEdERERk5TgtC1FHW1rtrrvkrgUREXUwDPiIOtrSap99JnctiIiog2GTLhEREZGVY4aPqKNNEKjVVj9Wqbi0GhERNQkzfEQdSU4OYG9fvRERETURAz4iIiIiK8eAj4iIiMjKMeAjMkMPLqZLRETWgwEf0WUc/0BERNaKAR8RERGRlWPAR0RERGTlOA8fUUfi4ACMGyd3LYiIbErumjXI/XAlNNnZUPfqhcB/vQinPn0aLr9qFfI+/wJV6elQeXnB/eab4DdjBpRieUyZMOAj6kjc3YHvvpO7FkRENqPwxx+RuXARAufOhVNMH+SuWo0L0x/GNZt+hJ2PT73yBRs2IvPNJQh67TU4xcWhMjkZ6bNni57iCJj9AuTCJl0iIiKiBuR8vAqekyfDc9JEqMPDEThvLpSOjshft95s+bKDB+HUty88xt4Kh04hcB06BO5jxqDsyBHIiQEfkUy++PMCbn37D2QUlstdFSIim1NUVITCwkLjVlFRUa+MvrIS5ceOwWXwIOMxhVIJl0GDUJaQYPa8IqsnXlN2+LC0X3nxIop//x2u110HOTHgI5LJC+uP4GhqIRZuOtH0F2VnV/fjE5tYV5eIiFokMjISHh4exm3BggX1ymjy8qX1y1V1mm5Vvj5Sfz5zRGbP7+mnkXzPvTgeFY0zf7sJzvED4PvYo5AT+/ARyay0UtO8F1RVtVVViIhsRmJiIkJCQoz76lYaUFGy909kr1iBwJdfglOfGFReOI+M1xcg63//g98TT0AuDPiIiIjI5ri5ucFdDIRrhJ2XJ6BSQZuTY3Jcm50DO19fs6/JeusteIwbB6/Jk6V9x549oC8rQ/rLc+D72GNSk7Ac2KRLREREZIbCwQGOvXujZPce4zG9ToeSPXvgFBtr7iVScKdQ1lm6Sam6/KR8XXGY4SMyoz3+TY48tRevbv4f3KAB/tHAP8VLlwC7y8898gjw9ddtXzEiIjLyeWAq0l6YDceoKDj1iZamZdGVlcFz4gTp+bRZs2DnHwD/mTOkfdcbbkDuxx9DHREBp5gYVJ4/L2X9XG8YDoXqcuAnAwZ8RJcp2nkx3STfzpj7t0fxn03LgOKCK7+gqAjIy6t+HBXV5vUjIiLAffRoaHLzkPX2W9BmZUuBXOf3VxibdKvS0sXQXWN538cfkxZnz1r2FjQZGVB5e8PthuHw+/vfZXwXDPiIZHPBKwglDk5YOOcjzLutgQCu9l+Db7wBvPxy9eNu3aRfKERE1Pa8771H2szp8slqk32FnR38nnpS2iyJ7AHf6t3JWL79LLKKKxAR5I5543ojNtTTbNmkjCIs2ZyEI6kFSM0vw0u3RuKhoWEmZZZuScKyX0+ZHOvm54KtM4cb98urtHjth+PYcDgNlRodruvuh1fHR8HPTb4lT8g25bh44lJIABARceXCYjRZrRFlREREHSLg23AoDfM3Hsf8CVGIC/XEyp3ncP+He7H1ueHwda0ffJVVatHZxxmj+wTh1Y2JDZ63R4ArPp0+0LhvV2dEjHjtbycy8b+7+8LN0R4vf38Uj326H+seH9zK75CoYcPP/IXwnItQOIs/RvrLXR0iIrJiso7S/WDHOUyJD8Ud/UPRPcANr42PhpODCl/uu2i2fEyoJ/45OgLjYoLhoGq46iqlEv5ujsbN28XB+FxheZV0/n/dGonB4b6I7uSBxbfHYP/5PBy4cLl/FFE7GJ+4Df/6bSXCTx6UuypERGTlZMvwiabUo6kFeGL4NcZjSqUCQ8J9ceB8/lWdOzm7BPGv/QK1vRJ9O3vh+Vt6IcTTSXruaEoBqrR66ToG4f6u0vMHzudJ5c0RS67UXnZFLMlCdDUUXCiDiIisPcOXV1oJrU5fr+nWz1Ut9edrqdjOnnhjcgxWTYvH/PHRuJhbijve243iiurVDMS5RXbQw8ne5HW+rg6NXlcsuVJ7CRaxJAtRa9Bz8AUREbUxq5t4+Yae/hjTJ0gaAHJ9Dz989GA8Csuq8MPhtKs67+zZs1FQUGDcxJIsRFdDAab4iIjIypt0vZwdoFIqkF0nqyaybCLL11pEJi/MzwXJOaXSvjh3pVaHgrIqkyxfdnFlo9cVa+zVXmevsLCw1epIto4ZPiIistIMn4OdElEhHth1Ott4TKfTY9fpHPTtYn5alpYoqdDgfE4p/C9PuRLVyQP2KoXJdc9kFUvTvPTtYr7/HlFbUMi4xA4REdkWWadlmT40DDO/OoToTp6IDfXAhzuSUVqpweR+odLzM9YmIMDDEbNu6WUc6HEqs3qwRJVWh4zCchxLK4CLgx26+rpIx1/7IREjIgKkQRiZReVYuuWUlEkUI3sFd0d7aVTw/B+Ow8PZHm5qe8z5/ij6dvZscMAGdUxivkVHe/mWsWkq9uEjIiKrDvjGxgQjt6RSmiw5q6gCEcHu0mALwwTIIutWe7krEeCNeWuHcX/F72elbWCYN9Y+Okg6ll5Qjmc+P4j80ippOpb+Xb3wzROD4VOruVZM2KxUHMfjnx6onni5h6808TJZj5e+PYpP9pzHhqeGSlPvNFd75N7eHnwnPo+5GaF9Y3BXO1yPiIhsl+wrbUwd3FXazDEEcQah3s5IXjim0fO9c3ffK15TZH1EgMcgz3qJYE9Y9msSPpg6oEmvae88W5JfVyT5ATf5BLTzlYmIyNZY3ShdIiIiIrKwDB+RrRp27gA651+CnfswLq1GRERtigEfkUymHPoZY07uxJpAV7End3WIiMiKsUmXSCacloWIiNoLAz4imek58TIREbUxBnxEMmGYR0RE7YUBH5HcOPEyERG1MQZ8RDJRtMv0zkRERAz4iGTHpdWIiKitcVoWIpn879rJ+Cp6JPyiOAcfERG1LQZ8RGbo22HKlMNBPaSfI325tBoREbUtNukSXcaWVSIislbM8BHJZND5wwgsyoaT1xAurUZERG2KAR+RTKbt+w5/O70Xq/ydAEyUuzpERGTF2KRLJBtOy0JERO2DAR+RzLi0GhERtTUGfEQyUbTDSGAiIiKBAR+RzDjxMhERtTUGfEQyYZhHRETthQEfkdwY+RERURvjtCxEMlk+cBK+jRwOl5595a4KERFZOQZ8RDL5MzRK+jnS31/uqhARkZVjky6RGRw/S0RE1oQZPqLLFO3cma5/yjH4luTD3e/adr0uERHZHmb4iGTy1K4v8d63C9DrxH65q0JERFaOAR+RTBRsOCYionbCgI9IZpx4mYiI2hoDPiKZl1bjWrpERNTWGPARERERWTkGfEQyY4aPiIjaGgM+IpmxDx8REbU1zsNHJJMPB4zHxl7DoOrWW+6qEBGRlZM94Fu9OxnLt59FVnEFIoLcMW9cb8SGepotm5RRhCWbk3AktQCp+WV46dZIPDQ0zKTMf387jZ+PXcKZzGI42qvQt4sXXhjVC9f4uRrL3Ll8N/aeyzV53d0DO+P1CdFt9C6J6tverZ/0c0QAl1YjIiIrDvg2HErD/I3HMX9CFOJCPbFy5znc/+FebH1uOHxd1fXKl1Vq0dnHGaP7BOHVjYlmzykCufuu7YKYUE9otHos/vkE7v/wT2yZcR2cHWre7l3xofjH33oY953sVW30LomIiIhsOOD7YMc5TIkPxR39Q6X918ZHY+uJTHy57yKeGB5er7wI4sQmLNp0wuw5V0+LN9l/Y3IM+s3/BUdSCjCwm4/xuMj++bs5tvI7ImtxecaUNhWTdhKe5cXwCBzQ9hcjIiKbJlvAV6nR4WhqAZ4Yfo3xmFKpwJBwXxw4n99q1ykq10g/PZ0dTI5/l5CGbw+mws9NjRERAXjmxu5wcmg4y1dRUSFtxvMWFbVaHckytPfYied/X4Uh5w9juferAEa178WJiMimyBbw5ZVWQqvT12u69XNV40xWSatcQ6fT45WNiejfxQs9A92Mx2+LDUGIlxMC3NU4kV6EhZtO4GxWMZbf17/Bcy1YsADz5s1rlXoRCQqurEZERLYyaKMtvfTdUZy8VISvHx9Ub4CGQa9Ad/i7qXH3B3txPqcEXXxczJ5r9uzZmDFjhnE/NTUVkZGRbVh7shmcloWIiKw14PNydoBKqUB2cU0zqSBG64os39V6+buj1f0BHx2EIA+nRsvGdq7uF5icU9pgwKdWq6XNoLCw8KrrSNZBqdVg1Ikd8CkrBN69YL7QnXcC3t7Vj//6C9i3D4FF2dIuJ14mIiKrDfgc7JSICvHArtPZuLl3oLEJdtfpHNw/uEuLz6vX6zHn+2PS1CxfPDIIod7OV3xNYlp18CYyfUTN1fvsEUzd/SVC8y8Bm0vNF7ruupqA78cfgblz0e3yU1X29u1WVyIisk2yNulOHxqGmV8dQnQnT8SGeuDDHckordRgcr/qUbsz1iYgwMMRs27pZRzocSqzerBElVaHjMJyHEsrgIuDHbr6uhibccWAjPfv7w8XtQqZReXScXdHe2lkrmi2Fc/f0NMfns72OHGpSJriJT7MW5oHkKi5jnSPw91TXsPLW9/HpB7m55CEW00fUkREABMnYtPRS8hw9cax3gPbra5ERGSbZA34xsYEI7ekEku3JCGrqAIRwe5YNS1eGjkriMmVFbX6N4kAb8xbO4z7K34/K20Dw7yx9tHqfnqf7qluUpuyYo/JtRbf3geT+4fCXqXEjtPZ0px/pZVaBHs4YlRUIJ66sf40MERNVeDkhpljZmDSwjFXLnzHHdL2+As/SLs3qhvvckBERNThB21MHdxV2swxBHEGonk2+QpfqFd6PtjTSerXR0RERGQrlHJXgKijG75/C7YtfxivbH5X7qoQERGZxYCP6Co5l5eia346/Ery5K4KERGRWQz4iIiIiKwcAz4ic7gKBhERXZa7Zg1O3zgCJ/rE4Nwdd6Ls8GE0RltYiEuvvIKkYcNwIroPztx8C4q3b4dND9ogshSc/piIiOoq/PFHZC5chMC5c+EU0we5q1bjwvSHcc2mH2Hn41OvvL6yEhemPQSVjzc6LVsGO/8AVKWlQuUu79RvDPiIiIjI5hQVFZmsmlV3RS2DnI9XwXPyZHhOmijtB86bK2Xr8teth+8jD9crn79+PbQFBej6+WdQXJ5Y36FTCOTGJl0imYnVYYiIqH1FRkbCw8PDuC1YsMBstq782DG4DK6Zzk2hVMJl0CCUJSSYPW/R1q1wio3FpVdeRdKQoTg7diyy31sOvVYLOTHDR3SVShxdcMY7RFo1g4iIOobExESEhNRk3sxl9zR5+YBWC1WdpluVrw8qzp0ze96qiyko3bMX7mNvRejy5ai6cB6X5r0CvUYDv6eehFwY8BFdpe39RuK94Hjp8QNyV4aIiJrEzc0N7m3Rr06nkwLEoFdegUKlglNUb1RlZCJn5YcM+IiIiIgsjZ2XJ6BSQZuTY3Jcm50DO19f86/x8wPs7aRgz0B9TTdos7KlJmKFgwPkwD58RERERGaI4Myxd2+U7N5jPKbX6VCyZ4/UT88cp759UXX+glTOoDI5WQoE5Qr2BAZ8RFdpaMJv2LTyKfzr1/flrgoREbUynwemIv+rr5D/zbeoOHMGl+bOg66sDJ4TJ0jPp82ahcw3lxjLe901RRqlm/Ha61I/v6Jt25C9fAW87rlbxnfBJl2iq+ZeUoiIrGQkewXLXRUiImpl7qNHQ5Obh6y335KaZdUREej8/gpjk25VWroYumssbx8UhNAP3kfGwoXIv2087AIC4H3fffB5eLqM74IBHxEREVGjvO+9R9rM6fLJ6nrHnOPiELZ2LSwJm3SJiIiIrBwDPiIz9O24mC6nXSYiorbGgI/IgIvpEhGRlWLAR0RERGTlGPARXaVyB0eku/og39FV7qoQERGZxVG6RFdp64Cb8d9O1Qtr3yV3ZYiIiMxgho+IiIjIyjUpwzfmrT+adVKFAvjg/gEI9HBsab2IiIiIqD0DvsT0Qjw8rBucHWoWAm6IXg+8u/0MKjU1a8gRWbPBh3/Haz99gj2do8WfR3JXh4iIOpiMBQub/Rrfxx+DytOz9fvwPXJdN/i6qptU9oM/zja5AkQdnWdRHvqmnUSGq4/cVSEiog4od/VqOMXGQmFv36TypQcOwOvee1o/4Pvj+Rvg4+LQ5JNumXE9AtzZnEtERETUFJ3eeRt2Pk1LHJzs2w/N1aSAr5OXc7NOGuzp1OyKENkq0Q2CiIhsV9Drr0Pp5tbk8oHz5jU5OGyVUbo3L/0dafllV3MKIiIiIpvmOWE8lA5Nb0n1GHsrlM7O7RfwpeSVQqNleoKsjyVn3c7nlPAPLSIiG5A+bx40eXmtci7Ow0d0maIDLKZbVF6F6xdvw+CFW6G35KiUiIiuWuH3G6ArLpY/4BsQ5g1He8aMZNs0KjsUqF1Qat+0UexXI6OwwviY8R4RkZXT6y1jabWPH4xvtYoQdVSbrx2DZV2GSY8nyV0ZIiIiM5qUntuSmIEqbdMnUv7tRCbKq7RNLk9EREREpnoe2A+H0FC0W4bv0U/24a8XR8KniRMvP/35Qfz4zDB09rnyCJLVu5OxfPtZZBVXICLIHfPG9UZsqPmJBJMyirBkcxKOpBYgNb8ML90aiYeGhjX7nCIYfe2H49hwOE1aEeS67n54dXwU/NzavkmOiIiIqDZtcTFUrq5oKm1xCVSuLmj1gE+0ID/31SE42DWtv16FpmnZvQ2H0jB/43HMnxCFuFBPrNx5Dvd/uBdbnxtudlWPskqtFESO7hOEVzcmtvic4rUiC/m/u/vCzdEeL39/FI99uh/rHh/cpHoT1Tbw6E68uOUL7OsUyaXViIio2ZLiB6L7H783eW6909dfj7Bvv2lW9q9JAd+kvp3QHLfFhsDV8cqn/mDHOUyJD8Ud/asr/Nr4aGw9kYkv913EE8PD65WPCfWUNmHRphMtOmdheZX0eNmUOAwO95XKLL49BiOXbMeBC3no29mrWe+VyKcgG0PPH0KRunl/bRlw7AURkY3T65H/1ddNnltPr9E0+xJNCvjemByD1iaaUo+mFuCJ4dcYjymVCgwJ98WB8/ltds6jKQWo0uqlYwbh/q4I8XTCgfMNB3wVFRXSZlBUVNSiOhIRERHVZh8UhPyvvkJT2fn6QmFn136jdK9GXmkltDp9vaZbP1c1zmSVtNk5Rb8+B5USHk6mCxT7ujpIzzVkwYIFmDdvXovqRURERNSQ8K2/oq1xEr0mmj17NgoKCoxbYqL5PoRERERElka2DJ+XswNUSgWy62TVRJZNZOTa6pziZ6VWh4KyKpMsX3ZxZaPXVavV0mZQWFjYojoSERERtTfZMnxixG9UiAd2nc42HtPp9Nh1Ogd9u3i22TmjOnnAXqUwKXMmq1ia5qVvFw7YoGocSEFERDYX8MXM24zckkrp8f99dQjFFc0fHWLO9KFh+Pyvi/h6fwpOZxbhxW+PorRSg8n9qkfYzlibgEU/nTAZlHEsrUDaxETQGYXl0uPk7JImn9Pd0V4awTv/h+PYdSYbR1IKpPfUt7MnR+jaOEULl9LVKxSoUNlBq1S1dpWIiIjar0lXBFfF5Rp4uzhg3YEUvDCqF1zVV98aPDYmWAokl25JQlZRBSKC3bFqWrxxAmSRdVPU+hYWAd6Yt3YY91f8flbaBoZ5Y+2jg5p0TkFM2KxUHMfjnx6onni5h6808TJRS2waPA5LwoZLj2+VuzJERNThpDz9NIIWLJAmX87/9lu4jx4NpYNDq16jSVGbyHw98sk+qblUNHXN3ZAIxwYmYV7czClcpg7uKm3mGII4g1BvZyQvHHNV5xQc7VVSgMcgj4iIiORWtG07AkpLpYAv/Z8vwnXYMCibOAlzqwZ8S++MxYc7zuFCbglEvq2ovAoVKg7wJSIiIrpa6rAwZC1ZCueBA6VJmAs3/QRlA0uneY4f33YBn2gOFc24wtBFW7H0jlh4ubRuqpGoo+p3fC9m/Po1DoT0atHSano9h4gQEdmywLlzkbFoIYq3b5c6lGctW2a+Y7lC0bYBX207Zt3YogsRWauA3Ev42+m90HDQBhERtYBz3ziErV0rPT4eEYlrftrU5HV1WzXg+2jnuSaf8MEhYVdTHyIiIiKbFf7LFqi8vVv9vE0K+ET/vdrEKNiyKq00xYlQWF4FJ3sVfFwdGPARERERNUP5yZMm+9qkpAbLOvbsiTYL+Go3436XkIpPdp/Hotv74Bo/V+PExbPXHcHdAzu3qBJEREREturc+AnVffZEn+4rTAobkXisffrwvbk5Cf+7p68x2BPEYzG33eNr9mN8XEiLKkJERERkq824BuXHjyPj34vhM20anOJipWNlBxOQ+9FH8P+/59BSzQ74MovKodXVH1Wo1evrrWFLRERERI2zD6lJlqX8/R8IfPGfcL3+epNmXPugQGQtewtuI0eiJZo9md6Qa3zxz2+O4GhqgfGYWJ7sX98ewdBw3xZVgsjScKoUIiKSQ0VSEuw7dap3XByrOHOm/TJ8/769D2Z+dQhj39kBe2V1vKjRieXJ/LBwUp8WV4RIbi1cShebBo3Ff7peJ61Cc7aV60RERLbF4ZpuyFmxAkGvvgrF5eXV9JWV0jHxXLsFfD6uanz8YDzOZhXjdGaxtNbtNX4u6FarTx+RLdErldByDj4iImoFQXPn4uLjT+DU8Bug7tlDOlZxMkkazBH67v/aL+AzEAFemG/1sh8i6CMiIiKiq+PUpw/Ct2xGwYaNqDxb3W7kPmoUPG69FUpn5/YN+Nb+dUGamy85u1Ta7+rrjGlDwjAlntOykO2JPbkPj2/7FoeCerRoaTUiIqLaRGDndecdaE3NDviWbD6JD3acw9TBXdG3s5d07MCFPLy6MRFp+WWYcVPLJgQk6qiCs1Mx7vjvsNdq5K4KERF1cNnLV8DO1weekyaZHM9ftw6a3Fz4Pvxw+4zS/XTvBSyYGI1Zt/TC3yIDpE08fn1iND7Zc75FlSAiIiIiIH/tWjiE1R+coQ4PR/4X1evttkvAV6XVoU8nz3rHo0M8oDEzPx8RERERNY0mOxt2/n71jov1dTVZWWi3gG9iXAg+NZPJ+/zPCxgfy1U2iIiIiFrKLigQZQcO1Dsujtn5+7f8vC150Zd/XcQfp7IQF1rdhy/hYr7Uf29i3xCpL5+BWG6NiIiIiJrGa/JkZLy+APoqDVyuHSgdK9mzB5mL34D3gw+i3QK+kxlF6B3iLj0+n1tSXTkXe2kTzxkoWjyNLZH8lKdPA0892nCB++8HHnlEeuhT0PIUOxERUW3eDz0EbX4+Lr3yCvRVVdIxhVoNn+kPwffR6u+ddgn4vnhkUIsvRtRRKEpLgJ07Gy5Qa43DHTHDcffm1bjk5tM+lSMiIqulUCjg/9xz8H38cVScPSsFew5du0J5edWNdp94mcgahRRkQgE9tCFxwPr1DRfsUT37uZDuG4wHbp+D3Z37oCXJdi7bS0REdSldXOAUHY3WwoCPqNZfVVvffxRqbRVynz0FTJjQpNeVq51x8JoBbV4/IiKidhulS0REREQdCwM+IhNsXyUiIuvDgI/IHAVHmRMRkfVgwEdERERk5RjwEdWiYIsuERFZIQZ8ROawSZeIiC7LXbMGp28cgRN9YnDujjtRdvgwmqLghx9wvFcELj75FOTGgI+oljVxo7A6bgz0zi5yV4WIiCxA4Y8/InPhIvg++STC1q+DY8+euDD9YWhychp9XWVKKjL/vRhO/fvBEjDgI6pl3shH8fJNj0Pv6dlu19RzZDARkcXK+XgVPCdPhuekiVCHhyNw3lwoHR2Rv67hyfn1Wi3S/u//4Pf0U3DoFApLwICPiIiIbE5RUREKCwuNW0VFRb0y+spKlB87BpfBNcvKKpRKuAwahLKEhAbPnf3f/0Hl4w3P22+HpWDAR1SLd2mBtEGrlbsqRETUhiIjI+Hh4WHcFixYUK+MJi9f+j5Q+Ziula7y9YEmO9vseUv370f+unUIevVVWBKLWFpt9e5kLN9+FlnFFYgIcse8cb0RG9pwk9oPh9Px5paTSMkrQ5iPC14Y1Qs39PI3Pt/1hR/Mvm72qF549PprpMdDFm5Fan6ZyfPP39ITTwwPb7X3RR3PX+/cB5Veh5ynzwEeXeWuDhERtZHExESEhIQY99Vq9VWfU1tcgrTnZyHo1Vdg5+UFSyJ7wLfhUBrmbzyO+ROiEBfqiZU7z+H+D/di63PD4eta/8Pffz4Xz3xxEM/f3BMjIvzxXUIaHvlkHzY+PQw9A92kMn++OMLkNdtOZmHWusMYFRVkcnzG33pgSnxN27qrWvaPg2TEcblERLbDzc0N7u7ujZax8/IEVCpo6wzQ0GbnwM7Xt175qosXUJWaiouPP1FzUKeTfhzvHYVrNv0Ih86dIQfZI5wPdpyTgq47+lcHXq+Nj8bWE5n4ct9Fs9m2lTuTcX0PP2OmbuZNPfHHqWys2p2M1ydES8f83RxNXrMlMQODuvmgs4+zyXEXtV29smTbFPrqARR6TstCRGTzFA4OcOzdGyW798Bt5EjpmF6nQ8mePfC655565R26dUPY99+ZHMta9hZ0JSUI+Ods2AcGQi6yBnyVGh2OphbgieHVwZugVCowJNwXB87nm33NwfN5eGhYN5Nj1/Xww+Zjl8yWzyqqwG8nMvHmHTH1nnt32xm8vfUUgj2ccFtsMB4aGgY7lflujaIzZ+0OnaKzJxEREVk3nwemIu2F2XCMioJTn2jkrloNXVkZPCdOkJ5PmzULdv4B8J85A0q1Go49epi8XuVW3fpY97hNBXx5pZXQ6vT1mm79XNU4k1Vi9jWin5+vq0Od8g7ILq4/ukZYdyBFyuTd3Ns0qn5wSFf0DvaAp7M99p/Pw79/OoHMogq8dGuk2fOIzpzz5s1r5jukDosZPiIiAuA+ejQ0uXnIevstaLOyoY6IQOf3VxibdKvS0sXQXVg62Zt025poGh4fGwxHe5XJ8em1soRioIiDSol/fnNEGrihtjMtK8yePRszZsww7qempkojfKjtlVVq4eRQ//9JW1ByTjwiIqrD+957pM2cLp+sRmOCF9Yf/SsHWUNSL2cHqJSKetk5kcUTWT5zxPHs4so65SvNDvD481wuzmaV4M4BV+4gGdvZExqdXhr5a44YvSM6dxo20dmT2t6eszmIePknLNx0on0vzAwfERFZEVkDPgc7JaJCPLDrdM1cNjqdHrtO56BvF/PTssR18TIpL+w4lYW+XeoPf17710VEh3ggMrjxUThCYlohlArA1+Xqh2VT63nth+PSz/e2n2mX630dNULaoG6/wTyXx4kQERFZb5Pu9KFhmPnVIUR38kRsqAc+3JGM0koNJverHrU7Y20CAjwcMeuWXtL+tCFdcefyPXj/97PS3HtiWpcjqQVYMLGPyXmLyqvw45F0vDgmot41RZ+9hIv50shdMRXLgQt5eHVjIsbHhcDD2b6d3jlZoufG/EP6+dcVhuoTERF1JLIHfGNjgpFbUomlW5KkEbURwe5YNS0efm7VmTYxObKiVvNavy7eWDYlDm9uPonFP59EV19nrLivv3EOPoMNh9KlNUrHxQbXu6baTikFiv/5JUkaKRzq7YxpQ8MwfVhYO7xjIiIiIhsL+ISpg7tKmzlrH61Zv85gTJ8gaWvM3QM7S5s5ohn52yeHtLC2ZLX0ejhVlhsfExERWQuLCPiILMXxpdULXWc/kwK41yy5Q0RE1JFZ/sQxZNPadbBsraye6A5ARERkLRjwEV3GmViIiMhaMeAjMjDpt8foj4iIrAcDPiIiIiIrx4CPLFq75tk4MpeIiKwUAz4imTv0Mc4kIqK2xmlZiAwUCvzQs3p+xnh7rrhCRETWgwEfkYFKhSfHz5Ye/ulmunILERFRR8YmXSIiIiIrx4CPLBsnxyMiIrpqbNIlMqisRPKiW6WHWU+mA26BcteIiIioVTDDR2QOM4tERGRFGPARmZsfhVOlEBGRFWHARxZNtjwbM3xERGRFGPARyUzPdCIREbUxBnxEBlzygoiIrBQDPiJz2KRLRERWhAEfkYFSia3d+kubXqWCNSmr1OKT3clIzS+TuypERCQDzsNHFq1dE20ODpg2ea708E9nZ1iTxT+fxMqd5/DG5iQcmnOT3NUhIqJ2xgwfkQ3YcTpL+llQViV3VYiISAYM+IiIiIisHJt0iQxKSpC4ZJL0sPjZVMDdUe4aERERtQoGfGTR2nusrHNVhfSzuJ2vS0RE1JbYpEtkbh4+K5uWRSHfmiVERGQBGPARmdGeUzBzvmciImprDPiIzLGyDB8REdk2BnxENpBqY/xKRGTbGPCRRVPIFakwQiIiIivCUbpEBioV9oRGSQ/DGPAREZEVYcBHZODsjCl3L5Qe7lWr5a4NERFRq2GTLhEREZGVs4gM3+rdyVi+/SyyiisQEeSOeeN6IzbUs8HyPxxOx5tbTiIlrwxhPi54YVQv3NDL3/j8zC8PYd2BFJPXXNfDD6unxRv380srMef7Y/j1eKbUXWtUVCDmjO0NF7VFfCR0GRtWiYiIrp7s0c2GQ2mYv/E45k+IQlyoJ1buPIf7P9yLrc8Nh69r/Wa1/edz8cwXB/H8zT0xIsIf3yWk4ZFP9mHj08PQM9DNWO76Hn5YPLmPcV+tUpmc59kvEpBZVIFPHoqHRqfH/311CLPXH8Fbd8W18Tsmi1VYiP1v3S091Dx3EQCXViMiIusge5PuBzvOYUp8KO7oH4ruAW54bXw0nBxU+HKf+MKtb+XOZCmYe/T6axDu74aZN/VE72APrNqdbFLOwU4JfzdH4+bhbG987nRmEbYnZWHRpGjEdfbCgK7emDuuNzYcTkNGYXmbv2eyUHo9fMoKpa1dL9uuVyMiIlska8BXqdHhaGoBhoT71lRIqZD2D5zPN/uag+fzTMobmmsPnM8zObbnbA76vboFN76xDS9+cwR5JZXG58S53R3t0KdTTbPx0HBfKBUKHLxg/roVFRUoLCw0bkVFRS1+32SZFFY9Dx8bx4mIbJmsAV9eaSW0On29pls/V7XUn88ccdzX1aFOeQdk1yp/fU8/LLkjFmseHohZo3ph77lcPPDRn9K1as5hek07lRKeTvYNXnfBggXw8PAwbpGRkS1+32ShrHgtXSIism2yN+m2hXExwfhbZAB6Bbrj5t6BWDl1AA6lFEhZv5aaPXs2CgoKjFtiYmKr1pnMkyvusuJkHxER2SBZAz4vZweolAqT7Jwgsmwiy2eOOJ5dXFmnfKXZAR4GnX2c4e3igOScklrnML2mRqtDfllVg9dVq9Vwd3c3bm5uNQNEyEpYcZTHfCURkW2TNeATAyuiQjyw63S28ZhOp8eu0zno28X8tCxxXbxMygs7TmWhbxevBq+TXlAmNR+LwRuCOHdhuQZHUgqMZXadyYFOr0dc54angyEbwiZdIiKyIrJPyzJ9aBhmfnUI0Z08ERvqgQ93JKO0UoPJ/UKl52esTUCAhyNm3dJL2p82pCvuXL4H7/9+Vpp7T0zrciS1AAsmVk/BUlKhwbJfT+GWqEApW3chtxQLNh1HVx8XXNejerCHGN0rRvq+sP4wXpsQLWX3xJx8Y/sEI8CdU3FYC48yMbCmZn5GXLjQcBZPrYZepcKhwO7SbkA71ZGIiMgmAr6xMcHILanE0i1JyCqqQESwO1ZNi4efW3XTamp+mckIw35dvLFsShze3HwSi38+ia6+zlhxX3/jHHyiifh4eiHW7U9BYXmVlNUTgd6Mv/WE2q5mLr5lU2Lx8nfHcM/7e6TRuSJAFFOzkGVRtLAx8vntHyPq0hmsjnuv5mBUFNDQ6OqhQ4Gff8VtU5dKu3vsZP+nQURE1Gos4ltt6uCu0mbO2kcH1Ts2pk+QtJnjaK/CJw8NvOI1PZ0dOMmyFeuTfgrxF4/h8IHtwAOXV1hxcgI0GvMvsPK1c9lCTURk2ywi4CNqCw46DRyqag3Oycho/AWlpoOBiIiIrIVVTstC1KFY7+BgIiKyEAz4iIiIiKwcAz6ybOx71irYh4+IyLYx4CMiIiKycgz4iIiIiKwcR+mSVZoz8jG4VZaia+/oFr1eb2UjKVo6nyEREVkHBnxk0VoappzxrV6pxdeNS+UREREx4CMiIiJqRO6aNcj9cCU02dlQ9+qFwH+9CKc+1Uu61pX35Zco+O57VJw6Je079o6E/z/+0WD59sI+fGSVxhz/Aw/vXY+gtHNyV4WIiDqwwh9/RObCRfB98kmErV8Hx549cWH6w9Dk5JgtX/rnX3AfMxpdVn2Mrl98DvvAIFx4aDqqrjT5fxtjwEdW6a5DP+HFbSsReiEJlq49+gtyWhYiopbJ+XgVPCdPhuekiVCHhyNw3lwoHR2Rv2692fIhbyyG9913wzEiAupu3RA0/1VAp0PJ7t2QEwM+IiIisjlFRUUoLCw0bhUVtZbivExfWYnyY8fgMniQ8ZhCqYTLoEEoS0ho0nV0ZeXQazRQeXhATgz4yKIxM0VERG0hMjISHh4exm3BggX1ymjy8gGtFiofH5PjKl8fqT9fU2S++Qbs/P3hMngw5MRBG0RERGRzEhMTERISYtxXq9Wtfo3sFe+j8MdN6LJ6FZRtcP7mYMBHZAOYKCUiMuXm5gZ3d3c0xs7LE1CpoK0zQEObnQM7X99GX5vz4UrkvP8+Oq9cKQ30kBubdImIiIjMUDg4wLF3b5Ts3mM8phcDMPbsgVNsLBqS88EHyH73XXR+fwWcoqNgCZjhI4vGFSKIiEhOPg9MRdoLs+EYFQWnPtHIXbUaurIyeE6cID2fNmsW7PwD4D9zhrSf/f77yH7rbQS/8QbsQ0KgycqSjiudnaF0cZHtfTDgI6v0+g0PwaO8GEERcXJXxTJw9AsRUYu4jx4NTW4est5+C9qsbKgjIqTMnaFJtyotXQzdNZbP//wL6KuqkPrssybnEfP4+T39FOTCgI+sUmJAN+nnSA/TkVVNpbeupXSJiOgqeN97j7SZ0+WT1Sb74Vt/hSViHz4iIiIiK8cMH1mlkaf2IrA4BzqvGwEMgCVjNpGIiNoaAz6yyq5nD+z/HkPPH8KKbkGtXaUOiT34iIhsG5t0iYiIiKwcAz4iIiIiK8eAj4iIiMjKMeAji8bp41oHP0ciItvGgI+IGlRcocHhlHzoOZSYiKhDY8BHRA0a+/YOjHtnJ34+liF3VYiI6Cow4COr9Oaw+zBt0stI6sml1YSWtuieyy6Rfm44lNaq9SEiovbFefjIKh0M6SX9HOnlL3dViIiIZMcMH1k0hUxTBrdnjzX2jiMiorbGDB9ZpWHnDsC/OA/2PtdZ/NJqRERENhHwrd6djOXbzyKruAIRQe6YN643YkM9Gyz/w+F0vLnlJFLyyhDm44IXRvXCDb2qm+6qtDq8sfkktp3IwoXcUrg52mFouC9mjeqFAHdH4zmGLNyK1Pwyk/M+f0tPPDE8vA3fKbWXR/euq15arbM3gPGwdQrOy0JEZNNkD/hEZ/D5G49j/oQoxIV6YuXOc7j/w73Y+txw+Lqq65Xffz4Xz3xxEM/f3BMjIvzxXUIaHvlkHzY+PQw9A91QVqXFsdRCPD0iXAoeC8qqMG9DIqav2ocNTw81OdeMv/XAlPhQ476rWvaPg4iIiMj6+vB9sOOcFHTd0T8U3QPc8Nr4aDg5qPDlvotmy6/cmYzre/jh0euvQbi/G2be1BO9gz2waney9Ly7oz0+nT4Qt/YJxjV+rujb2QuvjOuNI6kF9TJ6Lmo7+Ls5GjdnBwZ8loaJKSIiog4e8FVqdDiaWoAh4b41FVIqpP0D5/PNvubg+TyT8sJ1Pfxw4Hxeg9cpKtdIgYO7o2lA9+62M4h9ZTNGL/sDy7efgUara/AcFRUVKCwsNG5FRUXNeKdERERE8pE1pZVXWgmtTl+v6dbPVY0zWdXzf9Ul+vn5ujrUKe+A7OIKs+XLq7RY+NNxjIsJhpujvfH4g0O6SplBT2d77D+fh3//dAKZRRV46dZIs+dZsGAB5s2b14J3SSQ/JkqJiGyb7E26bUkM4HjqswMQq0LNHx9l8tz0Yd0w6BofqZ/fvdd2wb/GRGLVrmRUaLRmzzV79mwUFBQYt8TExHZ6F0REREQdOMPn5ewAlVJRLzsnsngiy2eOOJ5dXFmnfGW9LKEI9p5cc0Aayfv5w9eaZPfMie3sCY1OL5UXff/qUqvV0mYgmnWJiIiIOgJZM3wOdkpEhXhg1+ls4zGdTo9dp3PQt4v5aVniuniZlBd2nMpC3y5e9YK95JwSrJk+EF4upk3A5iSmFUKpAHxdzAea1LG8M/hOPDXueZwO7wNLpxcp6DbGwS9ERLZN9mGp04eGYeZXhxDdyROxoR74cEcySis1mNyverqUGWsTEODhiFm3VC+VNW1IV9y5fA/e//2sNPeemNZFjMBdMLGPMdh7/NMDOJZWgA+nDoBWr0dmUbn0nKeTgxRkij57CRfzMaibjzQVy4ELeXh1YyLGx4XAw7nxTCB1DHs6V98PI325tBoREZHsAd/YmGDkllRi6ZYkZBVVICLYHaumxcPPrTrTJqZSqT1pbL8u3lg2JQ5vbj6JxT+fRFdfZ6y4r780B59wqaAcvxzPkB6PfusPk2uJpl3Rb09tp5QCxf/8kiSNFA71dsa0oWGYPiysXd872XbWjYiIyGYCPmHq4K7SZs7aRwfVOzamT5C0mSOCt+SFYxq9nmhG/vbJIS2sLXUE8RePwqckH27+g+WuChERkeysepQu2e6SYM/s/BzvfrcQ4acOtXqdOiIFJ2YhIrJpDPiIiIiIrBwDPiIiIiIrx4DPwojRxzO/PIT953Pb/FrFFRpp8MuJS+0zp6BYH/m7hNR2uRYRERHVYMBnYX4/lYV1B1KQnF3a5tdatOkE3t56Grf8x3Q0c1sQI7Gf//ownv0iQRoZ3Vzblj8MdOpkfps82bRwdDQGpBxrvcpbA3bhIyKyaRYxSpdqKC8PUmiPSUEOpxagvZRUaIyPxfrJzY1TAotzgHzTFVaMsk0n4kZ6OtRaDXRQICOwc4vqS0REZE0Y8FkYsdqHoOM8cCYm3bsYPzw91PyTrnWWwvv1V4xZug3ZLp6I7hoBS8f/00RE1NYY8Flqho8Bn4ljAdcAffs2rXBMDI4FpkgPo9u2Wh0GW3SJiGwb+/BZ6LxzzWj1tGq9TuzHxo+fxRs/LJW7KkRERB0WM3wWxjDPMBN81VzKihGVcQYVKq5xTERE1FLM8FkY9uGr4/LnoG/hihtXeVkiIiKrwIDPwrAPnynF5SENevZCuyrtHC8TEZGFYcBnoQEf+/BVUxgzfHLXhJpK/LHy7BcHMW8D50IkIrIUDPgsDZt062CGr6M5m12C7xLS8NHOZLmrQkRElzHgs9gmXblrYhmUhlQn2ySviqIdA+baE2uzawIRkWVgwGdhOGjDVJW9A7JcPJHvWGdyZStibf+rFVb83oiIOipOy2JhmOEzlRB3HZY+Vb1aBhsIO4bayVjexkREloEZPgv9smSGjzqumoiPTbpERJaBAZ+F9rXi16TpyiN0ddrzYzR0SxA42pyIyDKwSdfCsA+fqchje/HYF+/iUFAPAGPkrg41M0jX808XIiKLwIDPwrAPnyn3glzEpySi3E4td1WoiThog4jI8rBJ18IoL/8f0bEtTKLU62RZWo1ajv+riIgsDwM+i8OVNkwYVtrgxMsdqA9f7UEb7XddIiJqGAM+C+3Dx75Ppjcol1brmNgXlYjIMjDgszBcS7cOZvg6HM7DR0RkeRjwWWqGj5kRicIQ8FlxxzC9lS2tZjJKt5n3cWp+GfuvEhG1AQZ8FsbwZcmmsGpalQrFDk4o4yjdDqP2PHzNuYu/PZiKIQu3YuZXh9qiWkRENo3TslgYQ3KE8V61PUPHYL7PAOnxrXJXhpqdTbw8yLpJ3tp6Svr5zcFULL0zti2qRkRksxjwWRhr7sPnV5yLXlnJUG5RAiNvBNSXs3bHjwMXL5p9TeTRk9ihC0a5vWP7VpZaqQ+fFd7IREQdEAM+C2O1ffiqqvDzyqfgXVYIfAkgIwPw969+7p13gP/9z+zLZgBY/+gHSPEMbN/6Wpn27ALJiZeJiCwPAz6LzfBZ1zelorSkOtgT761PDJR2tW69Tp2AWPNNeBdyS1Gl4m3aoXCULhGRxeE3qaUxrqULq1Wxaw+cXGo10c6eXb2Z8cqqv5BxPLP9Kket2oevPf5wuVRQjsMp+RgZEQBl7REjRERkWQHf6t3JWL79LLKKKxAR5I5543ojNtSzwfI/HE7Hm1tOIiWvDGE+LnhhVC/c0Oty8+Dl5tClW5Lw+V8XUVhWhf5dvTB/fDTCfF2MZfJLKzHn+2P49Xim1Nw1KioQc8b2hota3o+Ea+nWxS/wDt2Hrx3u4xve2IayKi3+fXsf3NE/tO0vSEQ2J3fNGuR+uBKa7Gyoe/VC4L9ehFOfPg2WL/zpJ2QtewtVqalw6NIF/s/NhOv118Omp2XZcCgN8zcex7Mju+OHp4ciMsgN93+4F9nFFWbL7z+fi2e+OIg7+4fix2eG4qbeAXjkk304eanIWOa97Wfx0a5kvDY+Ct8+OQRO9na4f+VelFdpjWWe/SIBSRnF+OSheKx8YAD+PJeL2euPQG6GBIW1NemSbWqPQRsi2BO2NjMTnFdSieIKTRvVioisReGPPyJz4SL4Pvkkwtavg2PPnrgw/WFocnLMli89cBCpM5+D5+2TEPbNeriOHIGLTz2N8qQk2HSG74Md5zAlPtT4l/lr46Ox9UQmvtx3EU8MD69XfuXOZFzfww+PXn+NtD/zpp7441Q2Vu1OxusToqXs3sqd5/D0jeG4qXd1R/8ld8ag//xfsDkxA+NignE6swjbk7Lw/VND0KdTdSZx7rjeePDjv/DimAgEuDvKmuHzLi2A6uJ5pB9WmS2j7RRqTKMoc7KhKC1t8Hza4BBAVX0eZW4OFCUlxudc01MQUlD92vTDJ6ANCgYu961T5OVCWVzc8HkDgwB7++qyBflQFhY2XNY/QGp263R5PzW/FI6VTZuvQ2RiDVLyGn6fDckpqWzy6wrLar780wvKmzzQ4WrrWFDa9DqmF5SZTFLc9DpWXVUdc0oqmvy6vJKaa6Xnl6NS07T/1wVXWcf0wvImv660Uoublv4uPd4x64YmX6NCo8MviRm4tpsPfFwdml1HImoeX1c1HO3Nfxe2l5yPV8Fz8mR4Tpoo7QfOm4vi7duRv249fB95uF753E9Ww3XoUPg89JC07//ssyjZtQt5az5D0Ly5sMmAT3wRHE0twBPDq4M3QfTBGRLuiwPn882+5uD5PDw0rJvJset6+GHzsUvS44u5ZcgqqpDOYeDuaC81ER84nycFfOLc7o52xmBPGBruKwVbBy/k45ao+iNCKyoqpM2gqKgmo9jaEy+/9vN/MertXQ2W6TlzPSrsqr9slmx8ExOP/dZg2dhnPkO+k7v0+LWf38E9CT8Zn1tTu+B7wKDHP0K6u5+0++LWD/DwX982eN4R09/FGZ/qIH3G75/gmd1rGyx769T/4KRfF4wb/Q9pf/1bO6FXND+5PHRRw++zIeL/Z0ted8fy3WiJllwrOae0Ra8b9u/mv0ZoybX2nM1t0etu++9OtERLrnXoYsv+X7fkNUTUPlZPi5e+49tCUVERCmslK9RqtbTVpq+sRPmxYyaBnUKphMugQShLSDB73rKEQ/B5YKrJMdchQ1H066+Qk6wBX15pJbQ6vRTB1+bnqsaZrJpMVG2in59vnb+s/VwdjE3AWcXlxnPUPad4bc05TJ+3Uynh6WRvLFPXggULMG/ePLS167r7IkftgPLLAZ05DnZKQGziZlTZNVpWrVJCfbmszs6+0bL2dipjWZHpa7WyKiUUajXWRY+orpPhdU3MqBjfSzu+zlLrKBpIKy28jrVfZ6l1FD0mKrXtV0ciurp+7W0hMjLSZH/OnDmYO9c0A6fJywe0Wqh8fEyOq3x9UHHunNnzin5+Kh/feuXFcZtu0u0oZs+ejRkzxKxw1VJTU+vdLK2hf1dv4HDjGQeTnobzRzVadm8zylY3cBk0XvanemU/bbDsN42eiYiIqP0lJiYiJCTEuF83u2dtZA34vJwdoFIq6g3QEFm2uhk6A3E8u7iyTvlKY8bOz9XReA7/Wn3xxH5kkHutc5heU6PVIb+sqsHr1k311k4DExERUcfi5uYGd/fquKAhdl6eUj94bZ0BGtrsHNj5+pp/ja8vtDnZTS7fXmRtkxBNk1EhHth1uuaD0en02HU6B327mJ+WJa6Ll0l5YcepLPTt4iU9DvV2gp+bWjqHQVF5FRIu5hvLiHMXlmtwJKXAWGbXmRxpZGxc54angyEiIiLboXBwgGPv3ijZvcd4TK/ToWTPHjg1sGCAU2yMSXlBDNpoqHx7kb0TyvShYdJ8eV/vT5FGz7747VGUVmowud/lAQFrE7DopxPG8tOGdJVG2L7/+1mcziyW5ts7klqAqYO6Ggc9TBsShre3nsKWxAycuFSIGV8eQoC7GjdFBkhlwv3dpJG+L6w/LAWC+5JzpTn5xvYJlnWELhEREVkWnwemIv+rr5D/zbeoOHMGl+bOg66sDJ4TJ0jPp82ahcw3lxjLe993P4p37EDOyo9QcfYsst5+B2XHjsHrnrttuw/f2Jhg5JZUSoGbGF0bEeyOVdPipSxdzdQTNZ02+3XxxrIpcXhz80ks/vkkuvo6Y8V9/dEz0M1Y5rHru6GsUiPNq1dYXoUBXb2w6sF4k6Hdy6bE4uXvjuGe9/dInULFyFwxNQsRERGRgfvo0dDk5iHr7begzcqGOiICnd9fYWyirUpLF0N3jeWd+8Yh5I3FyPrPMmQtXQqHrl0Q+s7bcOzRA3JS6MXEddRsKSkpCA0NxcWLF9FJrAVLREREFi/FRr+/ZW/SJSIiIqK2xYCPiIiIyMox4CMiIiKycgz4iIiIiKwcAz4iIiIiK8eAj4iIiMjKMeAjIiIisnIM+IiIiIisHAM+IiIiIisn+9JqHZVOp5N+pqeny10VIiIiaqL0y9/bhu9xW8GAr4UyMjKkn/Hx8XJXhYiIiFrwPd65c2fYCq6l20IajQYHDx5EQEAAlErzLeNFRUWIjIxEYmIi3NzcYOv4eZji51EfPxNT/DxM8fOoj59J8z8PnU4nBXtxcXGws7OdvBcDvjZUWFgIDw8PFBQUwN3dHbaOn4cpfh718TMxxc/DFD+P+viZmOLn0TAO2iAiIiKycgz4iIiIiKwcA742pFarMWfOHOkn8fOoi59HffxMTPHzMMXPoz5+Jqb4eTSMffiIiIiIrBwzfERERERWjgEfERERkZVjwEdERERk5RjwEREREVk5BnztpGvXrlAoFCbbwoULYSv++9//Sp+Bo6MjBg4ciD///BO2au7cufXuhV69esFW/P777xg7diyCg4Ol9/7tt9+aPC/Gkb388ssICgqCk5MTRo4ciVOnTsGWP5MHHnig3j1zyy23wFotWLAAAwYMkFZK8Pf3x/jx43Hy5EmTMuXl5XjyySfh4+MDV1dXTJo0ybjkpS1+HsOHD693jzz22GOwRu+++y769OkjTawstkGDBmHTpk02eW80BwO+dvTKK69IizYbtqeffhq2YO3atZgxY4Y0VP7AgQOIiYnBzTffjMzMTNiq3r17m9wLO3bsgK0oKSmR7gHxR4A5//73v/HWW2/hvffew969e+Hi4iLdL+KXuK1+JoII8GrfM59//jms1fbt26Uv7D179mDLli2oqqrCTTfdJH1OBv/4xz+wYcMGfPXVV1L5tLQ0TJw4Ebb6eQgPP/ywyT0i/i1Zo06dOkkJk/3792Pfvn248cYbcdttt+HYsWM2d280i5iWhdpely5d9EuXLtXbovj4eP2TTz5p3Ndqtfrg4GD9ggUL9LZozpw5+piYGLmrYRHEr6BvvvnGuK/T6fSBgYH6xYsXG4/l5+fr1Wq1/vPPP9fb4mciTJ06VX/bbbfpbVVmZqb0uWzfvt14T9jb2+u/+uorY5njx49LZXbv3q23tc9DuP766/XPPvus3lZ5eXnpP/jgA5u/NxrDDF87En+RiBSzWLB58eLF0Gg0sHaVlZXSX2GiWc5AqVRK+7t374atEk2UovmuW7duuOeee3DhwgW5q2QRzp07h0uXLpncL2JdTNENwJbvF2Hbtm1Sc17Pnj3x+OOPIycnB7ZCrIsqeHt7Sz/F7xSR5ap9n4huEZ07d7aJ+6Tu52GwZs0a+Pr6IioqCrNnz0ZpaSmsnVarxRdffCFlO0XTrq3fG42xa/RZajXPPPMM+vbtK/0D3bVrl/SPUaTclyxZAmuWnZ0t/YMMCAgwOS72T5w4AVskgpePP/5Y+uIW98C8efMwbNgwHD16VOqjY8tEsCeYu18Mz9ki0ZwrmqTCwsJw5swZ/POf/8SoUaOkLzCVSgVrptPp8Pe//x1DhgyRAhlB3AsODg7w9PS0ufvE3Och3H333ejSpYv0h+Thw4cxa9YsqZ/f+vXrYY2OHDkiBXiiq4fop/fNN98gMjISCQkJNntvXAkDvqvwwgsvYNGiRY2WOX78uPTXhejDZiA6m4ob8tFHH5U643IJGNsivqhr3wsiABS/qL/88ks89NBDstaNLNOUKVOMj6Ojo6X75pprrpGyfiNGjIA1E33XxB9DttTPtSWfxyOPPGJyj4hBT+LeEH8giHvF2og/mEVwJ7KdX3/9NaZOnSr116OGMeC7CjNnzpRGzzVGNNmZI77kRZNucnKydONaK9G8IDIQdUdIif3AwEDZ6mVJxF+iPXr0wOnTp2HrDPeEuD/EF5aB2I+NjZWxZpZF/F4R/7bEPWPNAd9TTz2FjRs3SqOYRUf92veJ6C6Sn59vksmx9t8rDX0eDX3HCOIescaATyRNwsPDpcf9+vXDX3/9hWXLluHOO++0yXujKdiH7yr4+flJ2bvGNnFTmiP+MhF92USfHGsm3r/4x/jrr7+aNEmIfZGOJ6C4uFj6K7x2gGOrRJOl+KVc+34pLCyURuvyfqmRkpIi9eGz1ntGjF0RwY1optu6dat0X9QmfqfY29ub3Cei+VL0hbXG++RKn0dD3zGCtd4jdYnvlYqKCpu7N5qDGb52IPrZiC+sG264QeqjJfbFsPF7770XXl5esHaiOVuk2/v374/4+Hj85z//kTrYPvjgg7BFzz33nDTnmmjGFdMFiOlqRBb0rrvugq0EuLWzmWKghvhyEv1bRcdq0T9p/vz56N69u/TF9tJLL0n9ksTcY7b4mYhN9PMUc4mJYFj8cfD8889L2Q0xXY21Nlt+9tln+O6776TfmYa+V2IAj5ibUfwU3R/E7xbx+Yi52MQ0V+IL/dprr4WtfR7inhDPjx49WhoYKPrwie+Y6667Tmr+tzaiD7zoGiN+XxQVFUnvXXRv+Pnnn23u3miWRsfwUqvYv3+/fuDAgXoPDw+9o6OjPiIiQv/666/ry8vL9bbi7bff1nfu3Fnv4OAgTdOyZ88eva2688479UFBQdJnERISIu2fPn1abyt+++03aYqEupuYesQwNctLL72kDwgIkKZjGTFihP7kyZN6W/1MSktL9TfddJPez89Pmm5CTPH08MMP6y9duqS3VuY+C7F99NFHxjJlZWX6J554QpqOw9nZWT9hwgR9enq63hY/jwsXLuivu+46vbe3t/RvJjw8XP9///d/+oKCAr01mjZtmvTvQPwOFf8uxO+IzZs32+S90RwK8Z/mhYhERERE1JGwDx8RERGRlWPAR0RERGTlGPARERERWTkGfERERERWjgEfERERkZVjwEdERERk5RjwEREREVk5BnxEREREVo4BHxFZva5du0pL+rWljz/+GAqFQtrE8nBNNXfuXOPr2rqORGS7GPAREbUSsW5neno6Xn311WatrSxe06lTpzatGxHZNju5K0BEZC1Eli4wMLBZr3F1dZU2lUrVZvUiImKGj4gs1ooVKxAcHAydTmdy/LbbbsO0adOkx2fOnJH2AwICpMBpwIAB+OWXXxo8Z3JyshSYJSQkGI/l5+dLx7Zt22Y8dvToUYwaNUo6pzj3fffdh+zs7GbV/8SJE3B2dsZnn31mPPbll1/CyckJiYmJzToXEdHVYMBHRBZr8uTJyMnJwW+//WY8lpubi59++gn33HOPtF9cXIzRo0fj119/xcGDB3HLLbdg7NixuHDhQouvKwLAG2+8EXFxcdi3b590vYyMDNxxxx3NOk+vXr3wxhtv4IknnpDqk5KSgsceewyLFi1CZGRki+tHRNRcbNIlIovl5eUlZdlEhmzEiBHSsa+//hq+vr644YYbpP2YmBhpMxD957755ht8//33eOqpp1p03XfeeUcK9l5//XXjsZUrVyI0NBRJSUno0aNHk88lgr0ff/wR9957LxwcHKQM5NNPP92iehERtRQzfERk0UQmb926daioqJD216xZgylTpkCpVBozfGLgQ0REBDw9PaUm2OPHj19Vhu/QoUNSVtHQv05sIltnaEJuLhEsHj58GAcOHDCO5iUiak/M8BGRRRPNs3q9Hj/88IOUHfvjjz+wdOlS4/Mi2NuyZYvUdBoeHi71j7v99ttRWVlp9nyGQFGc06CqqsqkjAgixXVF02tdQUFBLQogS0pKpGuLEbktOQcR0dVgwEdEFs3R0RETJ06UMnunT59Gz5490bdvX+PzO3fuxAMPPIAJEyYYgzUxMKMhfn5+0k8ReIlmW6H2AA5BnF9kFcX8fXZ2V/drUvQ5FPV78cUXpWuKjKXI9InAlIiovbBJl4gsngiSRIZPNI0aBmsYdO/eHevXr5eCNpFJu/vuu+uN6q1NBFrXXnstFi5cKDX9bt++Hf/6179Myjz55JNSoHbXXXfhr7/+kppxf/75Zzz44IPQarXNqrsYpCH6/olrLFmyRHq9yEoSEbUnBnxEZPHEiFlvb2+cPHlSCuhqE0GUGNwxePBgqRn25ptvNskAmiMCR41Gg379+kmrYsyfP9/keTEVjMgciuDspptuQnR0tFRO9BE0NAk3xerVq6UBG5988omUKXRxccGnn36K999/H5s2bWrmp0BE1HIKfe2OLERE1CJiMIYICsWULi0hmo/F65uzLBsRUVMxw0dE1EoKCgqkEb2zZs1q8mvE1C/iNVczqpiI6EqY4SMiagVFRUXS5MyCaPoVcwU2hegrKDbDgBIPD482rScR2SYGfERERERWjk26RERERFaOAR8RERGRlWPAR0RERGTlGPARERERWTkGfERERERWjgEfERERkZVjwEdERERk5RjwEREREcG6/T+jpmpAkn0h8AAAAABJRU5ErkJggg==", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "stochast = Stochast()\n", "stochast.distribution = DistributionType.poisson\n", "stochast.location = 4.0\n", "\n", "stochast.print()\n", "stochast.plot()" ] }, { "cell_type": "markdown", "id": "e46d7e24", "metadata": {}, "source": [ "### Discrete distribution" ] }, { "cell_type": "code", "execution_count": 75, "id": "92d4807d", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Variable:\n", " distribution = discrete\n", "Definition:\n", " amount[1.0] = 0.1\n", " amount[2.0] = 0.4\n", " amount[3.0] = 0.5\n", "Derived values:\n", " mean = 2.4\n", " deviation = 0.6633\n", " variation = 0.2764\n" ] }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "stochast = Stochast()\n", "stochast.distribution = DistributionType.discrete\n", "\n", "x = [1, 2, 3]\n", "amount = [0.1, 0.4, 0.5]\n", "\n", "for i in range(0, len(x)):\n", " \n", " dv = DiscreteValue()\n", " dv.x = x[i]\n", " dv.amount = amount[i]\n", "\n", " stochast.discrete_values.append(dv)\n", "\n", "stochast.print()\n", "stochast.plot()" ] }, { "cell_type": "markdown", "id": "62cefc31", "metadata": {}, "source": [ "### Bernoulli distribution" ] }, { "cell_type": "code", "execution_count": 76, "id": "8ec5c395", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Variable:\n", " distribution = bernoulli\n", "Definition:\n", " location = 0.3\n", "Derived values:\n", " mean = 0.3\n", " deviation = 0.4583\n", " variation = 1.5275\n" ] }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "stochast = Stochast()\n", "stochast.distribution = DistributionType.bernoulli\n", "stochast.location = 0.3\n", "\n", "stochast.print()\n", "stochast.plot()" ] }, { "cell_type": "markdown", "id": "553f8c5b", "metadata": {}, "source": [ "### CDF curve distribution" ] }, { "cell_type": "code", "execution_count": 77, "id": "fa5ee884", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Variable:\n", " distribution = cdf_curve\n", "Definition:\n", " beta[1.0] = 2.3263\n", " beta[2.0] = 3.0902\n", " beta[3.0] = 3.719\n", "Derived values:\n", " mean = -2.0454\n", " deviation = 1.3091\n", " variation = 0.64\n" ] }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "stochast = Stochast()\n", "stochast.distribution = DistributionType.cdf_curve\n", "\n", "x = [1, 2, 3]\n", "probability_of_failure = [0.01, 0.001, 0.0001] \n", "# these are the exceedance probabilities, which will shift the probability mass to an area < 1.0\n", "\n", "for i in range(0, len(x)):\n", "\n", " fc = FragilityValue()\n", " fc.x = x[i]\n", " fc.probability_of_failure = probability_of_failure[i]\n", " \n", " stochast.fragility_values.append(fc)\n", "\n", "stochast.print()\n", "stochast.plot()" ] }, { "cell_type": "markdown", "id": "9767a3bb", "metadata": {}, "source": [ "### Histogram distribution" ] }, { "cell_type": "code", "execution_count": 78, "id": "9a926071", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Variable:\n", " distribution = histogram\n", "Definition:\n", " amount[1.0, 2.0] = 100.0\n", " amount[2.0, 3.0] = 200.0\n", " amount[3.0, 4.0] = 300.0\n", "Derived values:\n", " mean = 2.8333\n", " deviation = 0.746\n", " variation = 0.2633\n" ] }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "stochast = Stochast()\n", "stochast.distribution = DistributionType.histogram\n", "\n", "lower_bound = [1, 2, 3]\n", "upper_bound = [2, 3, 4]\n", "amount = [100, 200, 300]\n", "\n", "for i in range(0, len(lower_bound)):\n", "\n", " hv = HistogramValue()\n", " hv.lower_bound = lower_bound[i]\n", " hv.upper_bound = upper_bound[i]\n", " hv.amount = amount[i]\n", " stochast.histogram_values.append(hv)\n", "\n", "stochast.print()\n", "stochast.plot()" ] } ], "metadata": { "kernelspec": { "display_name": "base", "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": "3.12.10" } }, "nbformat": 4, "nbformat_minor": 5 }