diff --git a/docs/notebooks/polynomial_regression.ipynb b/docs/notebooks/polynomial_regression.ipynb new file mode 100644 index 000000000..e80d17892 --- /dev/null +++ b/docs/notebooks/polynomial_regression.ipynb @@ -0,0 +1,3883 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Polynomial Regression" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "WARNING (pytensor.tensor.blas): Using NumPy C-API based implementation for BLAS functions.\n" + ] + } + ], + "source": [ + "import arviz as az\n", + "import bambi as bmb\n", + "import matplotlib as mpl\n", + "import matplotlib.pyplot as plt\n", + "import numpy as np\n", + "import pandas as pd\n", + "import scipy\n", + "import seaborn as sns\n", + "from typing import Optional\n", + "\n", + "\n", + "plt.style.use(\"arviz-darkgrid\")\n", + "SEED = 1234\n", + "np.random.seed(SEED)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "This example will discuss polynomial regression using Bambi. Unlike many other examples shown, this isn't specific polynomial methods or families implemented in Bambi, most of the interesting components occur within the formula definition. Regardless, there are some nuances that are useful to be aware of. \n", + "\n", + "This example uses the kinematic equations from classical mechanics as a backdrop. Specifically, an object in motion experiencing constant acceleration can be described by the following:\n", + "\n", + "$$x_f = \\frac{1}{2} a t^2 + v_0 t + x_0$$\n", + "\n", + "Where $x_0$ and $x_f$ are the initial and final locations, $v_0$ is the initial velocity, and $a$ is acceleration.\n", + "\n", + "## A falling ball\n", + "\n", + "First, we'll consider a simple falling ball, released from 50 meters. In this situation, $v_0 = 0$ m/s, $x_0 = 50$ m and $a = g$, the acceleration due to gravity, $-9.81$ m/s^2. So dropping out the $v_0 t$ component, the equation takes the form:\n", + "\n", + "$$x_f = \\frac{1}{2} g t^2 + x_0$$\n", + "\n", + "We'll start by simulating data for the first 2 seconds of motion. We will also assume some measurement error with a gaussian distribution of $\\sigma = 0.3$." + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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hRq6DWEfehr873iSdPBn5klXfmdfTiYiISPblx9LC7GrYsCEbN25k8+bNmY6ORkREEBkZSWBgYJop+RcvXsRms6UJ6C9csD/Ytfuee3p68uSTT/Lkk09y8uRJ/vrrL+bPn8/cuXOJj49n5MiRgD0IMgyDX3/9Na8elXbt2jFp0iSWLVtGjx492Lp1K6dPn6Zbt26pppsnB2C9e/dm+PDhWdab/HzpJZOD/z6HvJQ80l+zZs0sy5YqVYpRo0Zhs9n4559/2LBhA99//z3jx4+nWLFiaXYcuHDhQpoXO1arlejo6CxfTOzevZu1a9fSvHlzJkyYkGq6/c6dO5k7d26q8slLECKzeuvFf/3yzTffULly5SzL56Xke69cuTJNgH7t1oEFndOumW/dujXVq1dP91ffvn3TlE9ISGDKlCncfffd1K1bl9DQUF577TXOnz+f7Xvv2LGDgQMH0rhxY+rXr8+DDz7IkiVL8uKx8k1u13+1amkwdozB9S/hgoJg7BgjT4JXR96GpxfIX+tmZdV39PPU2n8REZGC42YvLcyJLl264OLiwsKFCzMNSJJHJDt37pzmnNVq5e+//05zfNu2bQAZZuQuU6YMnTt35uOPP8bb25s1a9aknKtduzbR0dEcPXo0G0+TueLFi9O8eXN27tzJsWPHUqbY33PPPanK1apVC8Mw0n2m9CRP1d6+fXuaczExMSnT8PNKVFQU8+fPB0izHjszLi4uVKtWjb59+/Lmm28CpPrMkyX327X+/vtvrFZrltnVT5w4AcAdd9yRZt18evXWqlULgI0bN2bZ/uQlFI72S15KvnfydPsbwcXFBZvNdsPqd6gN+Xr3LBQtWpShQ4em+ZW8tUMym83G4MGDmTx5Mn5+fjzyyCM0aNCAefPm0bNnz2y9XVu/fj29e/fmr7/+on379vTq1Ytz587xzDPP8OWXX+b1I94UebW1XKuWBj98Z/DRhwavv2b/Om9O3gTykDdvuZOnvt1Ijn6eq3+30aOXyfBnTN540/61R6+0L04U8IuIiDiH5KWFmcmrpYU5ValSJR588EGio6N5/vnn0yS3s9lsfPnllyxbtozg4OA02bqTTZs2LdXWXGfPnuX777/H3d09JeCMiori4MGDaa69fPkyCQkJqUbHkxOWjR07lujo6DTXnD9/nsOHD2f7eZMT4S1atIhVq1ZRpkyZNGvdAwICaNOmDX///TezZ89Otd472c6dO4mLiwPsI98NGjTgn3/+SZNgb+bMmVy+fDnb7czIoUOHePrpp4mKiqJDhw5ZjswfOnQo3cHI5HgmvQR433//faos8omJiXz66acAdOzYMdP7lSpVCkj7YuPQoUPMmjUrTflatWpRq1Yttm7dyoIFC9Kcv7YdnTp1wtvbm08//ZRDhw6lKRsXF3fDgu37778fi8XCBx98wOnTp9Ocv3z5Mvv27cvVPYoVK5bqefODU0+zL1asGMOGDcuy3Pz581m7di2dOnVi/PjxKQkT5syZw+jRo5k4cSJjxozJsp6kpCRee+01DMPgm2++SflhGzJkCD169OCDDz7gnnvuoWzZsrl7sJssL9d/WSzGDVsjlldvuW/01DdHP8/XRqc9fv1ygIym6r8yMp7GjfK02SIiIpKFm7W0MLeGDh3K1atXWbx4MQ888AB33HEHwcHBXL16lQ0bNnDs2DHKlSvHBx98kO4a4BIlShAbG8vDDz9MaGgosbGxrFy5kujoaJ599tmUhF+RkZH069ePqlWrUqVKFQIDA4mOjiY8PJykpKRULwpuv/12HnvsMb788kt69OhB8+bNKVWqFNHR0Rw/fpzt27czaNAgbrvttmw9a2hoKD4+PsyZM4ekpCQefPDBdBPBvfDCCxw9epQpU6awdOlS6tati4+PD2fPnmXPnj0cO3aMX375JWWN//PPP88TTzzBmDFjCA8Pp1y5cimZ2uvXr5/uqHRmLl68mJJ8z83NjTNnzrBv376UhHH33XcfL7zwQpb1bNy4kcmTJxMSEkL58uXx9fXlxIkTrF27Fg8Pj3TXzNeuXZuHH36Ytm3b4uXlxdq1azly5Ah33XVXltvSJQfnK1eu5Pz589SuXZszZ86wZs0aWrRowapVq9JcM3r0aIYMGcI777zDsmXLqFOnDgkJCRw6dIj9+/fz22+/Afbp7G+++Sb/93//R9++fWnevDkVKlQgISGBU6dOsXXrVkJCQpg4cWKWn0t2Va5cmRdeeIH333+fnj17cvvtt1O2bFliYmKIjIxk48aNdOzYkZdeeinH92jUqBErV67kxRdfpFq1ari4uHDnnXemm6TvRnHqYN5R8+bNA+DZZ59N9cPdq1cvvvjiCxYvXsz//d//pfzwZmT9+vUcPXqU7t27p3prVrRoUZ588klGjhzJ/PnzGTp06I15kBukIKz/AscS7TniRk99y4vPadIUE5vNzDDgf+b5K7z1Rt7NehARERHH2JcWpk22GxRkD+Sd4d9mV1dXXnnlFdq1a8fChQvZsWMHYWFheHl5UbFiRbp160b37t0z/L+vq6srH330ER9//DFLly7lypUrVKhQgeeeey7VeuzSpUszYMAA/vrrLzZt2kR0dDTFixenevXqKQHStZ544gnq16/P999/z+bNm7l8+TK+vr6UKVOGxx9/PM30eEd4eHjQunVrFi1aBJBmK7lkyXuZ//DDD6xYsYJff/0Vm81GQEAAVatW5bHHHku1RVnlypWZPn06U6dOZf369axfv5569eoxffp0vvnmm2wH89HR0SnJ/9zd3SlSpAjlypWjT58+3HvvvQ4HeM2aNUsJdH///XdiY2MJDAykTZs29O3bN92XIc888wwrV65k0aJFnDlzhoCAAAYMGMAjjzyS5f0sFgsTJkzg448/Zv369ezZs4fg4GCGDRvGHXfckW4wX758eb766itmzZrF2rVrmTt3Ll5eXpQrV47+/funKtuiRQtmzZrF7Nmz2bRpExs3bsTLy4vAwEA6deqUYX/mha5du1KtWjXmzJnDtm3bWLt2LT4+PpQtW5ZevXrRoUOHXNX/7LPPAvDXX3+xdu1abDYbQUFBNzWYN8z05qE4gdatW5OQkMCzzz7L2bNn8fHxoW7dummm1cTHx1O/fn0qVKiQZpoMwKhRo5g7dy7ffPMNjRs3zvSeH3zwAZ9++ikffPBBmikpkZGRhIaG0rx5c2bOnJlhHc6YTGHLVvsU76x89KFBwwa5/wcqNxneM8pmn6xYsczXzQcFwbw5jr0xz2k7Hf08s1LcFy6mnYUGgGHYX2w4+ixyc91KiVNuVeoj56b+cW7qHztn3bFG/eP8blYfjRkzhiVLlvDTTz9RpkyZG36/W0VB+RnKaucDcPKR+cjISF5++eVUx+rWrcsHH3xA+fLlATh69Cg2m42KFSumW0fy8YiIiCyD+YiICIB0t/kIDAzE29s73f0Ind21I94lPCL5v5A3Ke4ehYmBabpgAq5uLtT9x4BDLoABhgtY3MCwYFpcwXAFiysYFrC4YhquYHEHV3dMi/u/v/dg3yE3lq5w53y0O/FWD+KsXvxQ1IsePb1o1Mwb3Lww3bzA1dNe/3WyehsOeTP1LTeZ6PNqBkFGgTyAaeb/1jciIiKF2Y1cWigikhecNpjv3r07jRo1olq1anh7exMREcGMGTNYuHAhjz76KIsWLcLHxyclQcW1W2hcK/n4tftlZiS5TPKWC+nVlVVCDF9f33T37cxvr4yM55nnr1Cz+B5al16ZfqFjub9PCBCS3syS3f/+upbFDdx9wKMIeBTF8PABDx86ufvQ8SkfzkZ7czmhKB6+vpSr6o+Lty94FiPoDS8mfe7O4VM+XE0qAhiUKunCyBe9adfWI8s2Ll8Rz6uvX+H6OSnnzsGrr5t8OL5IlvUkf55AqnoMgzT15kZcfBH8/LJ+Jrn5HHlbKvlLfeTc1D/OTf3j3NQ/zu9m9JGHh/3/iL6+vvqeyKZb5fNy2mD++nXpNWvW5L333gNg4cKFzJs3L82aDGeQXvZOZ9C4Ebz1hsHEyXfSf+0s/D3OY2BS3Nekw71Qq4Zpj0JNG/DvV1sS2JIwbNaU39t/WTGsiWBNBGs8hjUBMzGedWsTMBMTcLfE4+6SgIdLPF6usXha4vCyxODlGoe3WyyG+e8WDtZEiI2y/7LfNZWgf39xHMxdYP33eBNgdgOgAdiwkOTmi8WnOPzjR+zx4pievphefphexTE9i2N6B2B6+2N6lyDJw4+x73imG3AnHxv37hUa1L+a6Qj/f59n2tH9YU/BR1MzH7kvXhwuXsz4fDJPj6tERcVkXdAJOOt0xBuhoEzPKszUR85N/ePc1D/OTf3j/G5WH8XHxwP2+CO9RIeSvoLyM1Tgp9mnp2fPnixcuJAtW7bQv3//lFH0jEbek49nNHJ/reQyGY2+X7lyJVXijIKmVUuD0BYubN/RmLj4Inh6XE0JuJJyWfeWrSYj1mU9JP34oyZLlyRyOSoWb0sMRVyvUjYwhoe7XyWkxlWMhBiMhKuQcAXj31/EXcKIv4wRfwkj7hLEX8aIj8awJuKCFffECxB1ARz8mVzYxIsL8QGcjw/gQrw/F+IDOBcfyNm4IM7FleBcfCB7NgZRp2mJdJcCJLN/nqQbwLq4ZL72/7kRmQf8yWvm83Prm+zIzbIFEREREcm+UaNGMWrUqPxuhuSjAhfMJ7+hiImxj1aWK1cOFxeXlPXu10s+ntGa+msllzly5Ah16tRJdS4yMpKYmBhCQgpIdJWB5PVffn4eeTri62iG9y++MgB3wJ3LifYXI4euwJoJMHZMNjPEJsVjxEVjxF7EiI2COPtXI+4iJ/65yMGdUXjZovBzv4CfxwVKeJ7H3SUBb9dYvF2PE1zkeMZ1/wnmn4Z9RL9IIKZPScyipbAVLYXpUwqzaElsPqWwFC1JwwbeaS53JBNuVgG/M2x944iMkhZevw2fiIiIiIjknQIXzO/YsQMgZa93T09PQkJC2LZtGydOnEi1B7xpmqxbtw5vb+80wXl6mjRpwqeffsratWvTZLNfu3ZtSplbWU6nSufFdnCTppiEtsjG1GxXD0yfIEyfoFSHw8JNXvksvSDZpIjrVfw9zuPvfgF/jwv4e5ynhMc5SnhGUsIjkiDPs5TwPEeQ9zkM04oRcx5izkPk3gybYXr42oP8YmWwFSvz79ey/K9aGe78sjTbDvhzPspI83lmFvD/30s+NG7k/NPrrVb7iHxmst2vIiIiIiKSJacM5g8ePEiZMmXw8vJKc3z8+PEAdO7cOeX4gw8+yLZt2/jggw8YP358yl7z3333HceOHaNnz56p9tlMTEzk6NGjuLm5pWTFB7j99tspV64cP//8M/369UvZa/7y5ctMmzYNNzc3unbteqMeO9/ld4b3vMjennlwaXA1yYdYmw/HrqbdsSBZUBDM+9bENeEixpWz//46g8vl0xhXzmBcOY3L5TMYl09hJMZgxEdjiY+Gc/vSre9OV097gH8pGFtUOUzfYGy+5TB9y9GqeVlCW3ineYFSokTezpzISk5f4mzfkXWfKyu/iIiIiEjec8pgfsmSJcyYMYMmTZqkBPURERGEh4eTmJjIoEGDUo2Qd+vWjSVLlvDzzz9z/PhxmjRpwtGjR/ntt98IDg5mxIgRqeo/c+YMHTp0oGzZsqxatSrluKurK2+99RYDBgygT58+dOzYkSJFivDbb79x4sQJXnrpJYKDg2/Wx3BT5XaqtMViMGJY5tvGOcLR6foZcSS4tNkyP//0UAOLqwumawCmdwAE1cy4cPwVXC6fsgf2l07icukkxqUT/349iXE1EiMpDuPCIVwuHEq/Pd4laOEbjK14OWxxFTAPVMQWXwcs/uCR/s4K2ZVZsJ6blziO9ldu+1VERERERFJzymC+WbNmHDx4kD179rB582bi4uLw8/OjZcuW9O7dm9DQ0FTlXVxc+OSTT5g+fToLFy7kq6++onjx4vTo0YMRI0bg7+/4HPDmzZvz7bff8tFHH7FkyRKSkpKoVq0azz//PB06dMjrR3UKeTVVOrNp4507whczsm5LbqfrOxo0PtgDVoeR4Xp2h3n4YPOoCiXS248PsCZgXD6NS/RxjOjj/349hkv0cVyij2HEReMScw5izmE5te2/ywAfwOYdgFm8Aja/Ctj8KmLzuw2bfyXM4uXA4v5f+RwG65D+C5j0XuKkdw9H+ysvlmGIiIiIiMh/DNPMy12xpSBscwCpt2TYstVk+DNZfxt89KFBwwZZB7rpBX0APXqZmY6aBwXBvDm5S/qWnWepF5J+JvqbKu4SLpeOY1w8hsvFI7hEHcHl4hEs0UfhSsYflmlYMIuXw+ZfmYirtzF/bUV2nKrE4cuVuJJU9N9g3f4smc2WKFYMLl3KuHnJfbL2j7QvaQIDYfiQrLfhy4t+dTYFZUuTwkx95NzUP85N/ePc1D/OT33k3ApK/9ySW9NJ3svrqdLJGfOvl9U0/LzI3u7I2v2goP8C93xfx+1ZDJtnLQiqhfWaw35+fkSdTg7wIzAuHsHlQgQuUYdxuXDIvlY/KgKXqAiqAC9UAarYrz0dW4qDlytzcG4VTiZWoU7xKhy6XJkYa9r9RzML5MG+3n3WbDPdWRWRkfDaaOjdC779LuM6CkpWfhERERGRgkTBvNy0qdKObNeWW46s3S8wwaWHD7aStbGVrJ36uGliXDmLee4gMyYcogSHua3oISr5HCLI6yylvE5Tyus0LYL+sJevYf9yMqY0By9XZf+lahy4VI0Dl6pz5EoFkky3TJsx74fMm7liFbw5Ou0IfV72q4iIiIiIpKZgXrI1mp1brVoahLa4sdPbb8ZLg3xlGJhFS7LlnyC+2Nk81amirpeoVPQglYv+Y/9V7CCViv5DkGckZbxPUcb7FHeWDE8pn2B149CVyhy4VI39l6pz4FI19kXXICrhvzc3ly5n3pyzZ8HX1+CH75xg2YKIiIiISCGhYF5u+mj2zZjefjNeGuS39JY9XE4qxvaoBmyPSv0BF3O7SKWiB6la7ABVi+2nWrF9VC22nyKuMdTw3UsN372pyp+JLcne6BocjqvJ9rO12Btdk1OxpYH0P7/zF5xk2YKIiIjITfbzzz/z1ltv8eqrr9KpU6f8bo4UIgrmBbg1R7Nv9eAyO8seLiUWZ9uFRmy70CjlmIGNakEnKe2yn6rF9lGt2D6qF9tHeZ+jlPQ6Q0mvM7QiDCray0cnFGNvdE32Rtdi18Xa7L5Ym+Mx5QBD2epFRERugubNm2dd6Brr16+/QS3JueTANyNVq1bl66+/voktytrJkyfp3r07HTp0YNSoUfndHJEUCuYlRWEYzb6VOLI8IrNs9SYu9BtaDijHxMmtidxvP17E9QrNKuzj8Xv3ULXoXo5u2kMFr3/wdb9Es8ANNAvckFLHpYRi/BNTm1qXa2Pur4utVG3MomXAKNjfM5lt9SciIpJfHn/8cby8vIiNjU05NnfuXK5cucLjjz+ejy3LvsaNG1OvXr00xwMCAvKhNblz1113UadOHUqUKJHfTZFCRsG8pHKrj2bfShxZHvHS8/YANKsZF6lf4hSlXkhjLJYmJAD7vE0eGh1PJZ+D1Cy+m5q+u6lVfBfVi+2lmPslGrr/CZv/TKnb9PLDWqou1lIh2ErXw1qqLnj63pDP4EYICzfT3YZvxDAK5AwVERG5dQwcODDNtlq//PILV65cYeDAgfnYsuxr2rQp/fr1y+9m5AkfHx98fHzyuxlSCCmYF8lAQRiddXR5RFYzLjJ7idOqpcHo0R5MnFyTBUdrsoD7AShTMoGX+x+kSZldWM7swuXMTlzO7ceIjcL1cDiuh/9LtGcrXgFr6RBsperZvwZWB4t7mnvl92ceFm6m+3IkMtL+0mTsGAX0IiLi/K6dFt63b1+mTZvG1q1buXTpEj/99BNAptPGmzdvToMGDfjkk09SHb969Srffvstq1at4uTJk7i5uVG7dm369+9P/fr18/QZPvvsM7744gumTp1Ko0aNUp1Lb436tc/cv39/pkyZwpYtW0hMTKROnTo8/fTTVK1aNc19Lly4wNdff80ff/zBmTNn8PDwIDg4mDZt2tCnT59UywKWLFnCkiVLUq5Nbltma+a3b9/OzJkz2blzJ3FxcZQuXZq2bdvSt29fPD09U5VN/tzfeustpk6dyh9//EFcXBxVqlThqaeeSvM5iCiYF0lHQRqddWR5RG5nXKR/Dw8sltokUZuk5IJJ8bhE7sNyegcup3ZgOb0dl4tHcbl4BJeLR2DPYgBMiwe2UnWwlmlg/1W6PmGb/W7KZ57RCwOr1d7nmZk0xSS0RZ41RURE5IY6fvw4AwYMoHLlynTs2JHo6Gjc3NxITEzMdl3R0dEMHjyYQ4cOERISQrdu3bh69Srh4eEMGTKEcePG0apVqxvwFNlz6tQpBgwYQKVKlejUqRMnTpxIaeOcOXNSTeM/cuQIQ4YM4dy5c9SrV4+WLVsSFxfHoUOHmDlzJn369KFatWr07NmTuXPnUrVqVVq2bJlyfenSpTNty8qVKxk1ahRubm60bdsWPz8/NmzYwBdffMH69ev5+OOP8fDwSHXNlStXGDRoED4+PrRv354LFy6wcuVKRowYwVdffUXlypXz9gOTAk3BvMh1nG101pHR6puxPMKhe7h6YCsdgq10CCSXjY3CcvpvXE7/jeXUdiynd2DERWM58ReWE3+lXFr3SnmGB9dnm3cDtl+oz8HLVYiMdMn2Z57Z55XZS5qiRTPPPwD2bfi274A2rR1qioiI5AfThKTYrMvlF1evm5ZbZseOHTz++ONppuCfPHky23VNmDCBQ4cO8fLLL9OlS5eU44MHD6Z///688847NG/ePE1wmpGNGzcSHx+f5nj37t1ztW5+69atPPXUU6mm8H/66afMmDGDX375JdXx0aNHc+7cOUaOHEnXrl1T1XP27FkAqlWrho+PT0ow7+hyhqtXr/L2229jsVj47LPPUmYFDB48mFGjRrFixQq++eYbHnvssVTXHThwgPvvv5/nnnsOFxcXwJ5fYNy4cfzwww+89NJL2f5M5NalYF7kGtkZnb0Z078L0gyBDHn5Yb2tJdbbWpIIYJoYURFYTm7FcmobLie3Yjn/D+V9jlLe5yidyy0C7Nnzt11owNYLjVj+VUNCm9fB4p75fxAy+7wg/fwCyS9pHuzh2OOktyWgiIg4CdPEa24fLCe35ndLMmQt05DYnrNvSkAfEBDAo48+mut6Ll68yMqVK2ncuHGqQB7A39+fPn368MEHH7Bp0yZCQ0MdqnPz5s1s3rw5zfFWrVrlKpgvU6YMDz/8cKpjnTt3ZsaMGezevTvl2K5du9izZw8NGjRIE8gDBAUF5bgNAOHh4Vy5coXu3bunmt7v4uLC0KFDWb16Nb/88kuaYN7Ly4shQ4akBPIAHTp04N13303VfhFQMC+SyvYdjo/O3uiRcGebIZBnDAPT/zaS/G8jqU53tmw1eeXFi9QtvoN6/tuo77+Vun478HW/RKtSYbQqFQaA9WMPKBOCtWwjrGUbYy1TH9yLpFSb1edVrFjmzfpthWPN1zZ8IiLOrgD+23iDVK1aFTc3t1zXs3v3bqxWKwkJCXz22Wdpzh87dgywT1t3NJi/fvQ8r1StWjVVIAz/BeZXrlxJOZYcGDdt2jTP2wCwb98+ABo2bJjmXKlSpShbtixHjx7l6tWrFCny3/9nypUrh7e3d6ryrq6u+Pv7p2q/CCiYF0nF0VHXGz0662wzBG6k8xfgcqIv6yLvZF3knQC4GolU991LA/+/aBiwhfr+W/D3iILjm7Ac3wSAaVjs6+6Dm5BYpgmfTm0AFMnwPhlt0Zfs4kUo7gsXozMuExRkn7YvIiJOyjDso96aZg/YR83zwqV//xHdsWMHO3bsyLDctVvm5ZdrA+Nkrq72kMdqtaYcSw6MAwMDb0g7rl69CmTcBwEBAekG8+m1H8BisaRqvwgomBdJxdFR1xs9OvvXliSnmSFwo6X3WSaZbuy6WJddF+sy+9CjgMlnbx2mbrEtuBz/C1vEZjzjTtrX4J/ajjuf81MTC7sv1mbz+SZsPteEbRcaEmPNOLhPz93t4PsfMj7/9FCjwL88ERG55RkGuHlnXa4QSx65Ti84TG/0NznA7N27N8OHD7+xjftXZm1MDpRzo2jRogBEZvUfrhxK/swuXEh/BCj5eEbBu4gjFMyLXKNeiH2NdWZ/r9+M0dnIczaHyt0K67cd+8wNqt1emZV/VGbijB5ERkIZrxM0KrGJ0LKbaBa0ieIuJwjx30GI/w4eq/oFiTZXdl2sw4bI5mw815wdUfVItKXdDu9aoS0M6oVkvdWfI/J7mz0REZGMZBbIJk8Pv1atWrUwDIO///77hrctWXbbmF21atUC7In4+vfvn2lZi8UCgM3m2P/PAKpXrw7Ali1baNu2bapzZ86c4fjx45QtW1bBvOSKgnmRa1gsBiOGpZ8oLdnNGJ0NLOGSdSEK3vrtjAJcRz7ztX+kLnMytiwnj5Vl8bGuAJT2OkmjgE00LrGJJgEbKVvkBPX9t1HffxuDqk8jNsmTbRcasuFcMzZGNmdvdE1sWFLqS35JY7FkvdVfVm6JxIUiInLLKlKkCBUqVGD79u0cO3aMcuXKAfYR7+v3lgf7lPA2bdqwYsUKZs+eTZ8+fTCuWyqwc+dOqlSpkmbv9JxKDraXLl1K+/btU0bq//77b3799dc8qb9WrVps3bqVBQsWpJvNPnmtfdGiRTEMgzNnzjhcf8uWLfHx8eGXX36hR48eVKpUCQDTNJk6dSpWq5WOHTvm+jmkcFMwL3KdVi0Nxo7Jm9HZnGrU0NUpZgjkpawC3Mw+89AW0KNX5jkEzsSX4efjXfj5uD3LbhmvEzQNXE+zEutpUmIDJTzPc3vQOm4PWgfApYRibDjXjPWRd/Bn5B0MGVouJWDPzVZ/t2ziQhERuaU89NBDvPPOOwwcOJDWrVtjmiZ//vknNWvWTLf8Cy+8wNGjR5kyZQpLly6lbt26+Pj4cPbsWfbs2cOxY8f45Zdf8iyYr1OnDiEhIWzevJkBAwbQoEEDTp8+TXh4OKGhoYSFheX6HqNHj2bIkCG88847LFu2jDp16pCQkMChQ4fYv38/v/32GwDe3t7UrFmTbdu2MXr0aMqVK4dhGLRv3z7DveaLFCnCyy+/zKhRo3j88cdp27YtxYsXZ9OmTezdu5datWrRp0+fXD+DFG4K5kXS0apl7kdnc8M+Wm3k+wyBvOJogJvRZ75lq5llDoHrZ76djC3LgqP3s+Do/YDJpJcPUuLSeqK3r6du0U0Uc79EuzLLaVdmuf36f8qTlNgCa4U7sJZrBh5Fs/2chSlxoYiIFGxdu3YlKSmJuXPnsmjRIkqUKEHHjh3p379/uhnpfX19mT59Oj/88AMrVqzg119/xWazERAQQNWqVXnsscfw9fXN0za+//77TJo0ibVr13Lw4EGqVq3K+PHjiYyMzJNgvnz58nz11VfMmjWLtWvXMnfuXLy8vChXrlyaqfejR49m4sSJ/PHHH1y5cgXTNKlXr16GwTxAmzZtCAgIYObMmfz+++/ExcVRunRpHnvsMfr27YuHR+Zb7opkxTBNM/P/eUq2REVF5XcTHOLn51dg2loYJfdPeqPZN3OGQF6wWk169Mo8GA8KgnlzMn45sXylyRtvZv1X1YM9YHUYmX5eVqvJ9m1J2E7soqJ1HcHx67Cc3o5hS0q5xjQs2ErXI6nCHVhva4mtZG0w/lv6kNHPz5atJsOfybqdH31o0LBBwei/gkp/xzk39Y9zU/84N/WP81MfObeC0j9+fn5ZltHIvIgTy+8ZAnlh+47MlwtA1pn5Hc0NENrCYMjgzD8vi8WgYSM3aFQfqE8cT0H8FSzHN2KJ+APXo+twiYrAcnILlpNb4M8pmF5+JFUIxXrbnSRVDIUM/nJ1lq0NRUREROTWp2BexMnlZv22M8iLADc7uwzk6PPy8MFauTXWyq1JAIzoE1iO/IFrxFosR9dhxEbhtncxbnsXY2KQWLY+591u57DrnbgE16FePQsWi3HTtzZUxnwRERGRwkvBvIjcUHkR4N7sXQZM37IkhTxIUsiDYE3E5eRWXCPWYIlYiyVyL5zYSgW2UoGPubDLnw3f30lA81bUu7sFgYE+NyVxoTLmi4iIiBRuju1/JSKSQ8mj6plxJMC1Z7w30tQVFARjx9zAHAIWN2zlmpJw53Msq/AT7X5dzetb32T5ybu5nOiDv8cF7g5aSKNDz1L00xbMufsxHq40k/JFItKtLi9eOiQnFLz+pUFyQsGwcKVCEREREbnVKQFeHisIyRSg4CR+KKxutf7JKJt9suwE4/k1tTy9RH6uRiL1/bdyZ8kw7iwZTqWih1Jdc+RKBcLO3MXvp1pz0rU+w4a65fqlQ14kFCwMbrWfoVuN+se5qX+cm/rH+amPnFtB6R8lwBMRp5DVPvLZCXDzK4dAeon8kkw3Np9vyubzTflw9wuUK3KEDwetoWJiGJZjG6ngc4R+PjPpV3kmNs/iWGNakXSgNdYKLcC9SJ6143pZJRQUERERkYJPwbyI3BQFPTO/I4n8jl2twN9FKlKqTT9IuGrPjn9oFa6Hfscl7iIuuxfitnshpsUda/nmJFVug7XSXZg+QXnajuyUExEREZGCScG8iNw0BTkzf7YT+bkXwVrtbqzV7ibeloTLiS24HlqN6z+rcIk+iuvhcFwPh2Ni2Pe0r9qOpCptMYuXT6krvSUFNztjvoiIiIg4JwXzIiIOyM72eGm4uNqT6JVrSkLLF3E5/w+Wg6twPbgKy+kdWE5tw3JqGx7h72MtUZ2kqu3YEN2WN7+oQmTkfzMXAgNh+JBctENEREREbhnKZi8i4gD79nj2wNrIYGWAQ5nqDQNbiaokNhtEbO+5XB34O3GtXyOpfHNMw4Ll3D48/pxCy91d+SKkPSNqjadO8R2APd/Aa6OhXZvMb5GX2/SJiIiIiHNSNvs8VhAyI0LByeJYWKl/nFdYuMlHUw3OnLGlHMtJIr90xUbh8s/vbJu7nEa+f+BhSUg5dSqmFCtO3c3yk/dwxi2EoU+58NFUcp1QMCv5tXtAbulnyLmpf5yb+se5qX+cn/rIuRWU/nEkm72C+TxWEL4xoOB8ExdW6h/nVqxYcX4Pi7ohAe6WrSbDnzHxslylRdBa2pReTstSYRRxjUkpczq2FElV21G8+d1sOdeA81EuNyTQDgs30+xAEBgII4bl7QuDG0E/Q85N/ePc1D/OTf3j/NRHzq2g9I+2phMRuQHsifxuTDCbnIU+1lqEFafuYcWpe/BwieOOoD9oW+Y3WpVcTSmv03D8a/jha0KLBJJU9R6Sgtpjc6kPZK9dGY28h4WbvDIq7bveyEh4ZZTJ2DE4fUAvIiIicitTMC8i4kTSy0Ifb/Nk9ek2rD7dBneXeG4P/IP/u285QVGrcLkaifu22bhvm42taGmSqt1LUvUO2ErWznhx/78yGnkfPsTko6mZt3PSFJPQFvbAv6BOxRcREREpyBTMi4g4kayy5ifYPNhjtsazVxuumolYjv6B675luB5cicvlU7j/NQP3v2Zg8y1PQrV72UkHjsVXJSDASBVkZzby/trorNt59ixs3wGXL2c0FV8j9yIiIiI3krLZi4g4kWuz5mckJVu9qzvWSv8jvv27XB20ltjOH5FY7V5MV09coo/iuWk6jTd1JWTtfez4+BOGPnKUsHATq9UegOfW2j/sLwSuf/GQPBU/LFwpWURERERuFAXzIiL5wGo12bLVZPlK+1er9b/At1VLg7FjDAIDU18TFARjx2SQfM7NE2vVdsR3+pBf667hpc3vs/pUaxKsblQudpChNSfzdcN7Cf7tIbZ9Npuk6PO5fobflmd+ftKU1M8lIiIiInlH0+xFRG6yjLPE/zc1vVVLg9AWZHstutVqMuFjbyIjO/DryQ74uF6mdekVtC+7hKaB66nnvx1itrP87ndZH3k7S090ZPWpNsRYi2TrGYoXh4sXMy+TPBW/XojW1IuIiIjkNQXzIiI3UXayxNuz5mev/u07Uq+3v5JUlEXHurHoWDdKeERyd5lldAj+mTp+OwktuZbQkmuJTfLk99P/4+fjXVgfeTtWM+t/Gu5uC9//kHV71v5h8uY4tKZeREREJI9pmr2IyE3iyFr13E5NT97aLj3n4gP59nBfHl4zl97rf+GTvUM4cqUCXq5xtA9eytTmT/Jru9Y8V/tdbq+4hzdfNzOc6h/awrFA/Psf0ibz05p6ERERkdzTyLyIyE1y/ah5epKnpmd3RD5Zelvbpef2jhX5dMZTfLp/MLWL76Rj8M/cW/YXSniep2/lWfRlFtajVWn7/H1sNztx6mrJVFPkrVYz06z7AC4uYLNlfP7a7e1EREREJHs0Mi8icpNkNmqek3LpSd7aLjNBQdDv4eQkewa7LtblvZ0vc/dvq3lt71RO+t2DaXHHcv4AXn9MoNm61nSOepymnj9jscUBjmXdzyyQh/9eXIiIiIhI9mlkXkTkJnF01NzRcumxB9mkuy4/WfLWdq1acl2SPXfqhfwPi6U1V+Mu4bp/GW57FmE58ReuR//E9eifmO4+JFVvT2LtbrS6sz5jxxhpkvkFBcFdLR1bU5+bFxciIiIihZmCeRGRmyR51DyzqelBQfZyuWHf2o50g+ynh6be2i7DJHuexUgKeZCkkAcxLh7Ddc8i3HbNx+XSCdz+nofb3/Ow+d1G29rduPPzzmw7VDJVtvrtO+D7H7JeE5+bFxciIiIihZmCeRGRmyQ7o+a5ldOt7dJjFi9H4u1DSGw+GMvxzbjumo/r/l9xiTqMx9oPcP9jIndUaEFS7W4kVW4DFnfqhWS9pj4vXlzkJatVW+iJiIhIwaFgXkTkJsrOqHlu5WRru0wZLljLNcVarinxrV/Fdf+vuO36yT4NP2INrhFrMD2Lk1jrPpLq3M+IYVVvyouLvBAWbqbpE22hJyIiIs7MME1TewPloaioqPxugkP8/PwKTFsLI/WPc8uL/rmVRoGNqCO47Z6P664FuFw5k3LcWiqEXR738+r37Tl6pkjK8Rvx4uJ62emjsHAz05cOY8fc2LYWRvo7zrmpf5yb+sf5qY+cW0HpHz8/vyzLFJhgfvr06UyYMAGAuXPnUr9+/ZRz1atXz/L633//ndKlS2dZrnXr1pw4cSLdc02bNuXrr7/O9PqC8I0BBeebuLBS/zg39U8GbFYsEWtx2/kDlkO/Y9iSADDdvDgTcC/7fHpgBNenXr0bPyLvaB9ZrSY9eplZLgeYN8d5ZhHcCvQz5NzUP85N/eP81EfOraD0jyPBfIGYZr9//34mT56Mt7c3MTExac4PHTo03euOHDnC4sWLqVKlikOBfLKiRYvyyCOPpDletmxZxxstIlLYuFiwVmqFtVIrjKvncN29ELedP+ISdZhSp+dTivlYo6qSZDxIYs3O4Ombcml+zVTYviPzdf3w3xZ6ebpkQURERCSXnD6YT0xMZOTIkdSsWZMKFSqwaNGiNGWGDRuW7rVvvvkmAD169MjWPYsVK5ZhnSIikjWzSAkSmzxOYuPHcDm5Bbe/f8B1/zIs5w9gWT0W9/Dx9i3uQh5k9YF6TJxCvqxXd3RrPG2hJyIiIs7GJb8bkJVp06Zx4MABxo0bh8Vicfi6+Ph4Fi9ejJubG126dLmBLRQRkQwZBrayjYi/922uPhFGfOtXsZaohmGNx233Ary/60211V1p4/MNRV0vpVwWGWnP+h8Wbl8JZrWabNlqsnyl/avVmjcrxBzdGk9b6ImIiIizceqR+V27djFt2jSGDx9OlSpVsnXtb7/9RnR0NPfccw/+/tn7X1hCQgI//fQTZ8+excfHh7p161KvXr1s1SEiItfxLEZi/T4k1uuNy6ntuG6fi23nMqoWO8DIuuN4uuYH/HqyPfMierLrYl0AJk0xsdlMPpp6Y0bu64VQ4LbQExEREQEnDuYTEhJ46aWXqFGjBgMGDMj29T/88AMADzzwQLavjYyM5OWXX051rG7dunzwwQeUL18+2/WJiMg1DANbmfqsP1OPVya8RIfgn7m/4jyqFdtP1/Lz6Vp+Prsu1ub7w7349WR7XhvtlaaK5JH7sWMcD+gzWpc/YhgFZgs9ERERkWROm83+/fffZ+bMmfz0009Uq1YNgJEjRzJ//vw02eyvd+zYMdq1a0fp0qVZuXIlLi6OryaYMmUKjRo1olq1anh7exMREcGMGTNYuHAhZcuWZdGiRfj4+GR4vc1my9b9REQKq1+WxvPiyCv//smknt82Hqg4l7vLLMPdkgjApYRiLD52H99H9OLI1dtSXW8YUDLIhd+WFs8y2F6+Ip6334vhzBlbyrGSJV14+UVv2rX1SPd8qZIujPz3vIiIiIizccqR+a1bt/Lll18ydOjQlEA+O3788UdM06R79+7ZDqyvz4xfs2ZN3nvvPQAWLlzIvHnz6N+/f4bXR0dHZ7u9+aGgbMlQWKl/nJv6J294elz7Ltlge1QDtkc1YMKuF+lSfj49KnxPcJHj9Kk8mz6VZ7MhshnfR/Ti99OtsZqumCacPmPj97AoGjZIHcxf20cZ7SN/5oyNEc9dYeyYq7RqafD9tybbdxjXjNybWCwxREWl3UVFckc/Q85N/ePc1D/OT33k3ApK/ziyNZ3TDSEnJSUxcuRIqlevzhNPPJHt6202G/Pnz8fFxYX7778/z9rVs2dPALZs2ZJndYqIFGbJ69WvF5Xgz1f/PE7nlUt56s9p/H76LqymC80CNzChyTP80vYeBlT9FD/380DmmeatVpOJkzOfgDZpij2hnsVi0LCBQbs29q+aWi8iIiLOzOlG5mNiYoiIiACgTp066ZZJDqynTp1K27ZtU51bs2YNp0+fJjQ0lDJlyuRZu5LfjKS3z72IiGRfVuvVTVxYF3kn6yLvpJTXSXpUmEf3Cj9Qyus0Q2t+xBPVPuHXk+0Jdu0NpJ+kVPvIi4iIyK3K6YJ5d3f3DPeF37x5MxEREbRu3Rp/f3/Kli2bpkxuEt9lZseOHQDp3lNERHKmVUuDsWNg4mQzVdAdFATDniIli/3p2DJM2fs0n+4fTLsyv/LQbd9Q1+9vOpdbBH8tIul4Xf7x78M+13vxK+HOXa3sLwi0j7yIiIjcqpwumPf09GTs2LHpnhs5ciQREREMGjQo3QR4Fy5cYPXq1fj7+9O6desM75GYmMjRo0dxc3NLlZ3+4MGDlClTBi+v1JmTDx48yPjx4wHo3LlzDp5KREQy0qqlQWgL0s007+KSer17os2dJcc7s+R4Z+oU38E73b6j9IUluJ75mxpnRhIU/x7zIh7kkwkP8fATgdpHXkRERG5ZThfM58aCBQtITEykS5cuuLu7Z1juzJkzdOjQgbJly7Jq1aqU40uWLGHGjBk0adIkJaiPiIggPDycxMREBg0aRJMmTW7Go4iIFCr29eppj2c2cv/Q0Hpspx59v3mO7hV+5IGKcynldZpB1afxmO1zfltwL7R5mMDAutpHXkRERG45t1Qwn9sp9s2aNePgwYPs2bOHzZs3ExcXh5+fHy1btqR3796EhobmZXNFRMQBGY3cA/ToZRKVEMAXB57gq38eo3WplfSu9DUNArbSMfhn2Pczc9vW552wvqw81RarmfafPe0jLyIiIgWR0+4zX1AVhG0OoOBsyVBYqX+cm/rHOWzZajL8mfT/Cavpu4velWZzb9kluLkkAXA2vhRzDvbixyMPcCmxOEFB9kC+VUsF8jebfoacm/rHual/nJ/6yLkVlP4pkFvTiYiIOCKzpHV7omvz2ta3ab98BXtKDsbmHUCQx2merjWRVR3bsmTwW/z48REF8iIiIlJgKZgXEZECyZGkdefiA4msNYyYASuJu+dtrIE1cLXFUubEHHxmdcRz4VBcjm8CTVITERGRAuaWWjMvIiKFR70QCAzMfB/5lOR2Fg+SanclqVYXLMc24rblK1wP/Y7rwZW4HlyJtWQdEhs9SlLVu8HidtOeQURERCSnNDIvIiIFksViMGJY+tPkjX8Pp0luZxhYyzcjrusnXH30FxJDemJaPLCc2Ynnkufx/uJu3DZ9AfGX063XajXZstVk+Ur7V6tVI/oiIiKSP5QAL48VhGQKUHASPxRW6h/npv5xLmHhZpqt60qVdGHYENOxNfGxUbht/w63bd/iEnMOANO9CIl1e5LYsC9m0VIZ3icwEEYMUxK97NLPkHNT/zg39Y/zUx85t4LSP44kwFMwn8cKwjcGFJxv4sJK/ePc1D/Ox2o1U21dd1crPy5dupi9SpLicd37M25/fYXl/D8AmC5uJNXoyDqjP0+/XSXDS8eOUUCfHfoZcm7qH+em/nF+6iPnVlD6R9nsRUSkULBYDBo2MGjXxv41R/vGu3qQVOd+YvstJLbrJ1iDm2DYEnHbvYBWu7owpdmTNA7YAKR9Bz5piqbci4iIyM2lYF5ERORahgvWSncR++AsYnp/T2TgPVhNF0JLruHzFo/xzZ09aVf6V1ywplxy9ixs35GPbRYREZFCR8G8iIhIBmyl6rK2zId0WfkLcw/3IjbJk9p+u3i/ybPMb92ZbuV/wM0lAch833sRERGRvKZgXkREJBMB/nA8pjxv//0a7VesYNq+p7iY4EsFnyO8Xv91fml7N/0qzyCo2NX8bqqIiIgUIgrmRUREMpG8nz3AxQQ/pu0bQvvly3l/50ucji1FkGckz9Yezx0b2+D+xySI0RC9iIiI3HgK5kVERDKR3n72sdYifHOoH51WLOX1rW9xxfM2jPhLuG+YRpHP2+C+6i2MSyfTrU971YuIiEhecM3vBoiIiDi7Vi0Nxo4hzT7z/oHuNB3YHUK7EntwJW4bPsP17E7ct32D6/a5JNW8j8RmAzH9KgKZ7VWPtrYTERGRbFEwLyIi4oBWLQ1CW5BqP/t6Ify7DZ6FVafaMXFhG24zN/B41ek0C9yA++6fcNu9gKTq9/Kn5QleeadqmnojI+GVUSZjxyigFxEREccpmBcREXGQfT/7tMfDwk1eGWUCBpE0Z+O55oT4bWNA1em0LBWG274ltGQJHzb5H18ceIKdF0PS1DFpikloi+SXAyIiIiKZ05p5ERGRXLBa7VPnr7cjqj7DN35Mz99/YHXkPdhMg/+VXs3slg8x7fYBNPTfnKq89qoXERGR7FAwLyIikgvbd5BqDfz19l2qyTN/fkD31YtYfOw+kmwWmgf+yZehj/D5HY/SOGADYH8ZoL3qRURExFEK5kVERHLB0QA84kolXtv6NvetWsK8iAdJtLnSuMQmPm/xGF+26EfzwHUE+CmzvYiIiDhGwbyIiEguBPg7Vq64r/3ryZhgxu54nU4rlvHd4YdIsLrRMGAL024fyB37+mA5vAbMjIN6bW0nIiIioGBeREQkV+qF2LeXy0xQEDz3TOpjZ+JK887fr9Jp5a98c/BhrIYHrqe24TX/Cby+7Ynl0O9pgvqwcJMevUyGP2Pyxpv2rz16mYSFK6AXEREpbBTMi4iI5ILFYjBiWOYZ6J8eavC/u1wYO8ZIG/gXK0nxnv9H3BPLSWj0KKarJ5Yzf+O1YPC/QX0YmGZKxvzr1+cnb22ngF5ERKRw0dZ0IiIiudSqpcHYMTBxcupgOyjIHsgn7x+f2V71JoEktHqJxCYDcNv8JW7b5vwb1D9JUqkQ1q5+CggF0n9xoK3tREREChcF8yIiInkgs0D9WhntVZ/M9A4goeULJDZ+DLdNX+K2/VtcT+/g7ZpP0qtkfabte4o/I+/g+qA+eWu7zOoWERGRW4em2YuIiOQRe6Bu0K6N/WtuRslN7wASWr1AzOO/8U+JR4izelDPfxuf3P4EM1r0pWmJ9SRvaZdMW9uJiIgUHgrmRUREnJhZJJCTdV+i0wp7orx4qzsNArYy/Y7H+fyO/tT3/yulrKOZ9UVERKTgUzAvIiLi5OqFgFEskPd3vUynFb/y7aE+JFjdaFxiE1+F9mNq8ycIve1v6oXkd0tFRETkZlEwLyIi4uSuzZgfGR/Eezv/j84rlzIv4kESba60CPqDKXV7UeTnYbhE7svn1oqIiMjNoGBeRESkALBnzP9va7szcaUZu+N1Ht/+M8cCumIaLrgeXIn3113x+OVZjAuH8rfBIiIickMpm72IiEgBkX7G/PJYLG8Tc2Eg7n9OwW3fUtz2LcV1/68k1byPhNuHYvqWze+mi4iISB5TMC8iIlKAZLS1nelfifiOH5DY9Anc103G9eAq3HYvwHXvLyTW60Vis0GY3gE3v8EiIiJyQ2iavYiIyC3EFliDuC5TiXloLknlm2PYEnHf+jXeX9yN+x+TIP4yVqvJlq0my1fav1qtZtYVi4iIiFPRyLyIiIgTsVrN66bRk+396q1Wky2n63Le70sq+62j1ulJuJ75G/cN02DzHL46NIAv/u5NvM0TgMBAGDHMPo1fRERECgYF8yIiIk4iLNxk4mSTyMj/jmU30E5bx+0EBjbnnYdXUu3EJIrGHeKJChPoEjSb6fufZOHRbkRGuvHKKJOxYxy/T168dBAREZGcM0zT1Ny6PBQVFZXfTXCIn59fgWlrYaT+cW7qH+dXEPsoLNzklVEZ/5M8doyRZaCdVR3Fi1lp6buIJ6tPpYz3KQAirlTkoz0jWHWqLUFBBvPmGFgsRqbBesYvHbJuIxTM/ilM1D/OTf3j/NRHzq2g9I+fn1+WZTQyLyIiks+sVntwnJlJU0xCW2Q8+u1IHRcvWVh0qRtLT3SkR4XvGVhtGhV9IvigyQh2XAhh0p5n2b6jKZcvZzxDAEj3hUFkJNke3RcREZGcUwI8ERGRfLZ9B6kC5/ScPWsvl5s6kiXa3Jlz+GE6r1zGp/sGE5PkRYj/Dr5o8Shlfn+Sr8bvTVNXcrD+7visXzoooZ6IiMiNp2BeREQkn52/kPtyjtZxratJPnyybyidVy5l7uFeJNpcqWKGM7fV/bzZ4GVKe51Mc82lS5nXmdVLBxEREckbCuZFRETyWYB/7ss5Wkd6zscH8vbfr/Ho5kX8duIeXAyTzuUWsbB1B56t/R7F3C5mr74cvFgQERGR7FEwLyIiks/qhdjXpGcmKMheLjd1FCuW+fnaoRV48a8PeDh8DpvONcHdkki/yjNZ3KY9D1f6CjeXhMwr+FduXiyIiIiIYxTMi4iI5DOLxWDEsMyTxj091Mh06zdH6njpeYOxY4w0QX9QkD1bfmgL+/U7L4YwcN0MhqyfxoFLVfF1v8Tzdd5n/v86c0+ZJUDGa+KzeukgIiIieUPZ7EVERJxAq5YGY8eQJot8UJA9kHckQ7yjdYS2IN1t56xWk8DA5ER6Bn+cvZM/z97BfeUX8FSNyQQXOc67jV+gb9RMPtj1AlsuNE7ThqxeOoiIiEje0D7zeawg7FkIBWd/xcJK/ePc1D/OryD3UWb7u9+MOjLaq97TEkPfyjMZVOtLXG0xAKw+9T8m7XmWiCuV0n3pkFE7kvsnL55V8l5B/vkpDNQ/zk995NwKSv9on3kREZECxmIxaNgg/+rIaHS/WIA3FR9+ivhGPTH/nILr3z/wv9KraVU6nFNle1K04xBcfP5bLB8WnvFe9V27ZH5e+9SLiIhkTSPzeawgvOWBgvNGqrBS/zg39Y/zUx/lXlaj5saFQ3ismYDrwVUAmB5FSWj2JIn1HyZsnVu6o/vJ+j/iyYyZcRmeHzvGsWUFcmPo58e5qX+cn/rIuRWU/tHIvIiIiORIVqP7pn8l4rpMxXJ0A+5h72KJ3INH+Pu4bZvDX5ueBe4G0g/IZ36dcSAPMGmKSWgLTbkXERHJjLLZi4iISI5Zyzcjts884u4Zh61IIC6XjjOq+rPMaNGXOsV3pHuNzZZ5nWfP2hP0iYiISMYKVDA/ffp0qlevTvXq1dm2bVuqc5MnT045l96v48ePZ+tehw8f5umnn6ZZs2aEhIRw33338e2336JVCSIiItdxsZBUuxsxjy1jT8mniE3ypEHAVma3fIhxDV+klNfJbFd5/sINaKeIiMgtpMBMs9+/fz+TJ0/G29ubmJiYDMt169aNsmXLpjlerFgxh+/1zz//0KtXL+Li4mjfvj1BQUGEhYXxxhtvcPDgQV577bUcPYOIiMgtzc2byFpDefrrHgytMYn7yi+kQ/Av/K/USmYd7M+Mfx4jzurtUFUB/lmXERERKcwKRDCfmJjIyJEjqVmzJhUqVGDRokUZlu3WrRvNmjXL1f1Gjx7N5cuXmT59Oq1atQLg6aefpn///syePZtOnTrRoEEuUw2LiIjcguqFgFm0JKO2jWPO4T48V/s9GpfYzKDqn9C1/E9M2v0sy051xGbLeD18UJC9HhEREclYgZhmP23aNA4cOMC4ceOwWCw39F6HDx9m06ZNNGvWLCWQB3B3d+fpp58G4Pvvv7+hbRARESmoLBaDEcPsgfqe6NoMWPcVz2/6gBNXy1LS6wzjGr3EL10yXk8P9v3qlfxOREQkc04fzO/atYtp06YxdOhQqlSpkmX5TZs2MX36dD7//HNWrFjB1atXs3W/jRs3AhAaGprmXKNGjfD29mbTpk3ZqlNERKQwse9VbxAYCGCw4tQ9dFu9mC+PPk2Sixelrfb19O/f/jJBnmdSrgsK0rZ0IiIijnLqafYJCQm89NJL1KhRgwEDBjh0zeTJk1P9uVixYrzyyit07drVoesjIiIAqFChQppzFouF4OBg/vnnH5KSknB1deqPT0REJN+0amkQ2oJr9qr3pF7IIOJju+O2aSrm1u9pF7iI1vcuZ1/QQM5X609IAw+NyIuIiDjIqaPRSZMmERERwU8//ZTl9PoaNWowbtw4mjZtSlBQEJGRkfz+++989NFHjBw5kqJFi9KmTZss73nlyhUAihYtmu75IkWKYLPZuHr1Kr6+vmnO+/r64uLi9BMeAPDz88vvJkgm1D/OTf3j/NRHzqFN6+uP+EO5j7A17Y9t6SgsRzdR6/RHEL8AS9k3MGrei2EooM9v+vlxbuof56c+cm63Sv84bTC/detWvvzyS4YOHUq1atWyLN+uXbtUfw4ODubhhx+mcuXK9O/fn4kTJzoUzOdWdHT0Db9HXvDz8yMqKiq/myEZUP84N/WP81MfOTc/Pz+ii1SE+2fium8J7uHv4xJ1FOuc/iRVuIP4u/4PM6Byfjez0NLPj3NT/zg/9ZFzKyj948gLB6ccQk5KSmLkyJFUr16dJ554Ild13X777ZQvX579+/enjLpnxsfHB4DLly+ne/7q1asYhkGRIkVy1S4REZFCzzBIqtGRmP5LSGg2CNPihuuRdXh/3RX339+B+PT/LRYREREnHZmPiYlJWbtep06ddMv07NkTgKlTp9K2bdtM6/Pz8+PIkSPExsamBOsZqVixIgBHjhxJc85qtXL8+HGCg4O1Xl5ERCSvuHmT0GIEibW74xH2Hq4HV+K+ZSaue38mIfQZkmp3A8Mpxx9ERETyjVNGpO7u7vTo0SPdc5s3byYiIoLWrVvj7+9P2bJlM60rJiaGAwcO4O3t7dBUhSZNmgCwdu3aNLMC/vrrL2JiYrj33nsdfBIRERFxlFm8PHFdpmCJWIvH6nG4RB3G87dXsW7/jvjWr2IrXS+/mygiIuI0nDKY9/T0ZOzYsemeGzlyJBEREQwaNIj69esD9qR1kZGR3HbbbanKxsXF8dprr3H16lW6d++eZjT94MGDAFSu/N+6vEqVKtGkSRM2bNhAWFhYyl7zCQkJTJo0CYAHHnggT55TRERE0rJWDCWm3wLctn2L+59TsJzZifecXiTWuZ/40GfB2z+/mygiIpLvnDKYz66LFy/Svn176tatS+XKlSlRogTnz59n3bp1nD59mmrVqvHiiy+mua5Dhw4A7Nu3L9Xx119/nYceeoghQ4bQoUMHAgMDCQsL48CBAzz88MM0bNjwpjyXiIhIoWVxJ7HRoyTV6Ij7mg9w270At50/4npgOQkthpMY0gtcMt/pRkRE5FZ2SwTzxYsXp3fv3uzYsYOwsDAuXbqEh4cHlStXpm/fvjz88MN4eno6XF/VqlX5/vvvmThxImFhYcTExFCxYkVGjRpF7969b+CTiIiIyLXMIoHE3/s2iXUfwGPVW1gi9+Cx6i1c//6R+DavYSvTIL+bKCIiki8M0zTN/G7EraQgbHMABWdLhsJK/ePc1D/OT33k3HLcP7Yk3HbMxf2PjzDiLwGQWKsrCXc+h1mkRB63svDSz49zU/84P/WRcyso/VNgt6YTERERScPFlcT6fYjpv4TE2t0BcNu9AO+vOuC25WuwJeVzA0VERG4eBfMiIiJSoJjeAcTfM5aYXnOwBtXCiL+Mx+/j8PrmQVxObsvv5omIiNwUCuZFRETEKVmtJlu2mixfaf9qtaZeGWgrU5/Y3t8T12YUpkcxLJF78P7uITyWj4LYKIfqEBERKahuiQR4IiIicmsJCzeZONkkMvK/Y4GBMGIYtGpp/HfQxUJSvYewVr0b9/Dx9qz3f8/D9cBydpR6jhfmdOVspEvmdYiIiBRAGpkXERERpxIWbvLKqNSBPEBkJLwyyiQsPO3ouukdQPy9bxPz4NdYA6pixF2kXsRrvFe9L1WL7XOoDhERkYJEwbyIiIg4DavVPiKfmUlTMp4ubwtuzJWHfuDTiBeISfKivv825rR8gOdqv4u35apDdYiIiBQECuZFRETEaWzfQZoR+eudPWsvl2Edu9z4ZMejdF31M8tP3o2ri5W+lWcxv3VnWpdeDphZ1iEiIuLsFMyLiIiI0zh/IXvl0ktwl3zubFwpXtj8IYP//JRjV8tR0usMHzQZwaSmQyjjdcLhe4mIiDgjJcATERERpxHg73i5jJLk3dcpddk/I0PpsXoBj1edTv+qX9CqVBhNS2zk1OWnwPoIWNzy7gFERERuEo3Mi4iIiNOoF2IPyDMTFATR0RknyftiBhQrlvp4vM2Tj/cN58Hff2LzucZ4ucZS6dAEvGbfj8vJrXn7ECIiIjeBgnkRERFxGhaLwYhhmW8bN+wp+Ghqzuo/fKUyA9Z9xfaKYzE9i2M5fwDv73r/uzf9xZxVKiIikg8UzIuIiIhTadXSYOwYI80IfVAQjB1j4OtrZJkk79IleLx/2lF+ex0uVO7enav9l5BYuzuAfW/6zzpxbNkvWJNsefg0IiIiN4bWzIuIiIjTadXSILSFPeP8+Qv2NfL1Quwj98tXOralXHCwwQ/fpV8HAF5+/Ob1Fit3dmFIhTeoXPQQNXc/z8Y/FnKl5Siatgu+gU8oIiKSOwrmRURExClZLAYNG6Q9np0keRnVAfYEeq+MMoHGrIn4kf5VPmdA1ek09VtD7Nb7OBw1jPI9+mI1LRm/EBAREcknCuZFRESkQElOkpfZVPugIHu5jFit9kz4yRJt7kzf/xS/nbyXV0PeoHGJzdQ6/h4XP/2Z/9swmnURtVPKBgbCiGH22QMiIiL5JcfB/PHjx9m0aRN79uzhwoULXL58maJFi+Lv70/NmjVp0qQJwcGaniYiIiJ5y54kj39H1dP39FAj09Hz7TvSfxkQcaUSA9fNoEv5+TxbazzF2c3kur34pkhfPtk7hFhrESIj7fceO+a/gN5qNTV6LyIiN1W2gvno6Gjmz5/PvHnzOHToEACmmfYfUsOw/+NVuXJlHnjgAbp27Yqvr28eNFdEREQkOUkeafaZDwqyB/JZjZqfv5DxORMXFhy9nzVnWvJ87XdpH7yUfpVn0rb0ct7c/jp/RoYCMGmKSWgLWPtH2nZo9F5ERG40w0wvGr9ObGwsn3/+OV9++SWxsbF4enpSp04d6tatS6VKlShevDg+Pj5cvnyZ6OhoDh06xI4dO9i5cyfx8fF4eXnx+OOP8/jjj+Pl5XUznivfREVF5XcTHOLn51dg2loYqX+cm/rH+amPnFte9k9OR8S3bDUZ/oxjifRaBK3hlZAxlPE+CcDiY/cxYdeLXEzw4/H+9n3tMzJ2TNYvFpyNfn6cm/rH+amPnFtB6R8/P78syzgUzLdo0YLz588TGhrKfffdR9u2bfH29s6y8piYGH777TcWL17MH3/8QYkSJVi7dq1jrS+gCsI3BhScb+LCSv3j3NQ/zk995NycoX+sVpMevcwst7hL5mW5ypAak+ldaTYuhsmFeH/e2zmSdZc6cOlyxsF6UBDMm5P5lH9n4wz9IxlT/zg/9ZFzKyj940gw79A+8/Xr1+enn37i888/57777nMokAfw9vama9eufPHFF/z444/Uq1fPoetEREREbiT7unvHA+xYaxHG7xpJvzXfcuBSVfw9LvBOoxd5q+YQSnqeyvC6s2ft6/NFRETymkPB/NSpU6lVq1aublS7dm2mTp2aqzpERERE8op93b1BYGDq40FB8OZo0hwH2HkxhIfCvmfq3qEk2NxoWSqMH//XhQcrzsHAlu59MlufLyIiklPamk5EREQKrVYtDUJbkO66excXM92M+UmmO5/tH4xvs3bUOfw69f238X8hb9G+7C+8sX0MEVcqpSof4H+znkZERAoTh0bmRURERG5VFotBwwYG7drYvyavb89s5H7sGIPOj1blxX1f8/aOV7ia5E2DgK3MbXU//at8hsVISimb2X73IiIiOZWrkfmNGzeyceNGIiMjSUhISLeMYRiMGzcuN7cRERERyReZjdwDPD3MwiujehN25i5eDXmD0JJrebrWRNqWWc7obW/y6NAaWCxGnuxDr73sRUTkWg5ls7/exYsXGTp0KH/99Ve6+8ynuoFhsGfPnhw3sKApCJkRoeBkcSys1D/OTf3j/NRHzu1W65+wcPPffeZNOgUv4oU67+Drfgmb4UpSsydYkfAEH051S2cfese3rfvvHjmvw1G3Wv/catQ/zk995NwKSv84ks0+RyPzb7/9Nps3b6Zq1ao8+OCDlCtXzuEM9yIiIiK3kv9G7w3OX+jK7iItaHzmTdwOrsB9/cdUvbScoMQ3iaRuyjWRkfDKKJOxY+zXZzbqHhae/tr96+sQEZHCJUfB/OrVqylVqhTfffcdRYoUyes2iYiIiBQo9nX3yX8KIt78iIR9y0hY+BZVix1g1p29+frgI3yydyjxNs+U6yZNMbHZTD6aSjqj7hDaAiZOznwW5KQpJqEtNOVeRKSwyVECPKvVSv369RXIi4iIiKTHMPgr9l66rVzEkuMdsRg2Hq0yg7l33U99/y0pxc6ehddGpw7k4b9R91mzzTTnrqe97EVECqccBfO1a9fm3Llzed0WERERkVvG+QtwMcGP/9vyHsM3TOFsbBAVfSL4skU/nq39Hp6W2CzrmPej4/cSEZHCJUfB/ODBg9m2bRvh4eF53R4RERGRW8K1+8uHn/kf9/++gIVHu+JimPSrPJO5rVKP0qfn0qXs30tERAqHHK2Zv/322xk/fjwvvfQSrVq14o477qBkyZK4uKT/bqBJkya5aqSIiIhIQVMvxL72PXma/OVEX17fNpYVJ+/mtXqjqeBzhC9b9GP2oX58vHcYcVavdOspVhQuXc74PtrLXkSkcMrxPvMxMTG4urqycOFCFi5cmGnZwrQ1nYiIiAjYE9KNGEaaTPRrzrbi/t8X8ELtd7mv/EL6VZ5Jq5K/8/q2t9h2oWGaeh7oAV/MyPg+Tw81lPxORKQQylEw/9NPP/HKK69gmia1atUiODhYyfBERERErtOqpcHYMaTZI97Lzxej6zhe+eYenq6YepR+6p7hKRnvg4Kg38MGlW5LW0dQkD2Q17Z0IiKFU46C+c8//xx3d3emT59Os2bN8rpNIiIiIreM//ahT7uPvIvLXdz/ZupR+juDwnlt6zh2XgxJGXVv1ZIM6xARkcIpR8H8iRMnaNKkiQJ5EREREQek3of+P61aGvBacSZOHsfyk/fwWv3Xua3oYWbe2YfDpR+n1B1DAfdM6xARkcIpR9nsS5YsiZdX+klaRERERMRxrVoa/PCdwQMv38XGRgs5W9K+L32V05/h9e0DuJxV7iEREUkrR8F8ly5d2LBhAxcvXszj5oiIiIgUPvZRd4O77vHDu894YjtNwvTyw3JuP17fPojb+k/AlpTfzRQRESeSo2D+ySefpFmzZvTr148NGzZgmmbWF4mIiIiIQ6zV7ibmkcUkVWmLYUvCY91HeM3pjXH+YH43TUREnESO1szffffdAJw8eZJHH30UV1dXAgMDMYy0SVgMw2DFihW5a6WIiIhIIWN6BxDX+SNc9/6Mx6q3sJz5G+/Z3UloMYLEhv3AxZLfTRQRkXyU4wR410pMTOTkyZN50iARERER+ZdhkFSzM9bgpngsfw3XiDV4hL+H68FVxN37DqZv2fxuoYiI5JMcBfN79+7N63aIiIiISAbMoiWJ6/Yprn/PwyPsXSwnNuP9dRfi7/o/kmp3g3RmR4qIyK0tR2vmRUREROQmMwySQh4kpu8CrGUaYiRcxfO3V/BcNAwj5nx+t05ERG4yBfMiIiIiBYhZvByxD84iPvRZTBc3XA+uxGvmfVj+WZnfTRMRkZvIoWD+wIEDeXKzvKpHREREpFBzsZDYdCCxfeZhLVENl9gLeC0aisevr0D8lfxunYiI3AQOBfP33Xcfzz77bI7Xyu/evZunn36aLl265Oh6EREREUnLFlid2N7zSGgyABMDt10/4f11F1yOb8rvpomIyA3mUAK8IUOG8OWXX7J06VKqVatGx44dadq0KbVq1cLd3T1N+fj4eHbv3s3GjRv5+eef+eeff/Dy8mLIkCF5/gAiIiIihZqrOwl3PkdSpbvwXDYSl+jjeH3/CIlNBpBwx1CwpP2/moiIFHyGaZqmIwXPnz/PJ598wsKFC7l8+TKGYWCxWChdujTFihWjSJEiXL16lejoaE6fPo3VasU0TYoWLUr37t0ZNGgQ/v7+N/p58l1UVFR+N8Ehfn5+BaathZH6x7mpf5yf+si5qX9uoISrePz+Nm47fwTAGlSTuPbvYQZUcbgK9Y9zU/84P/WRcyso/ePn55dlGYeD+WRxcXEsXbqU1atXs2XLFs6dO5emTIkSJWjcuDF33XUX7du3x8PDIzu3SNf06dOZMGECAHPnzqV+/fqAfY/7VatWsWrVKnbs2MHp06cBqFKlCt26daNnz55YLBaH79O6dWtOnDiR7rmmTZvy9ddfZ3p9QfjGgILzTVxYqX+cm/rH+amPnJv658awWk2274DzF6CadQU1/xmFS9xFTIsHCS2fJ7F+b6w2I6VMgD/UCwGLJfW2duof56b+cX7qI+dWUPrHkWA+2/vMe3p60q1bN7p16wbAhQsXOH/+PJcvX6Zo0aIEBATk+Qj8/v37mTx5Mt7e3sTExKQ6d/ToUYYPH463tze33347rVu35vLly6xevZo33niD8PBwPvnkE4xs7L9atGhRHnnkkTTHy5Ytm+tnEREREclrYeEmEyebREYmH2lD9TIhTG79KkGX1uKxeiyX/vqdYaveYu/JoJTrAgNhxDBo1VL71IuIFDTZDuav5+/vf0OnzycmJjJy5Ehq1qxJhQoVWLRoUarzPj4+jBo1im7duuHt7Z1yPCYmhr59+7J69WqWLVtG+/btHb5nsWLFGDZsWJ49g4iIiMiNEhZu8sqotBMt950M5O7Z05g99DtqHnufwEt/MC2kK2+ao1l56m4AIiPhlVEmY8cooBcRKWicfp/5adOmceDAAcaNG5fudPmSJUvSp0+fVIE8gLe3N/379wdg0yZldBUREZFbj9VqH5HPmMEzcx/iia3z2HOxJsXdo5nQ5BneqP8K3parKaUmTTGxWu2/Nm5KZPlKky1b7X8WERHnlOuR+Rtp165dTJs2jeHDh1OliuOJW5K5utofLztr5gESEhL46aefOHv2LD4+PtStW5d69epl+/4iIiIiN9L2HVwztT59kZEQSWX6HvuWwdU/pn/Vz+lSfgENAv7i//56j50XQzh7FmbNNln0M0RGXkq5VtPwRUScl9MG8wkJCbz00kvUqFGDAQMG5KiOH3+0Z3INDQ3N1nWRkZG8/PLLqY7VrVuXDz74gPLly2d6ra+vLy4uTj/hAXAsqYLkH/WPc1P/OD/1kXNT/+SNuPh44IpDZZNMdybvHcEfZ0MZ2/Alyhc5xlehDzNt3xC+PDCAL2akHfw4dw5efd3kw/FFaNc29wmNJW/o58f5qY+c263SP04bzE+aNImIiAh++umnbI+sgz3jfXh4OM2bN6dVq1YOX9e9e3caNWpEtWrV8Pb2JiIighkzZrBw4UIeffRRFi1ahI+PT4bXR0dHZ7ut+aGgZHEsrNQ/zk394/zUR85N/ZN3PD2yPw1+y4XGPBj2E6+GjOGesssYWvMjbg/6g1e2vMPp2DKpyibveTTu3Ss0qH81TeZ7ufn08+P81EfOraD0jyMvHJxyCHnr1q18+eWXDB48mGrVqmX7+tWrV/Pmm29StmxZ3n///WxdO3ToUG6//XYCAgLw8vKiZs2avPfee3Tp0oUTJ04wb968bLdHRERE5EaoF2KfCp+ZwMC0ZS4n+vLSX+N5betYriZ50yjgL+bd1Z27yyxNt46zZ+1T+kVExHk4XTCflJTEyJEjqV69Ok888US2rw8LC2P48OEEBAQwc+ZMgoKCsr7IAT179gRgy5YteVKfiIiISG5ZLAYjhmU+Wj5iWEZlDBYf60rP339kx4UQirpd5r3Gz/Nmg5dTJcdLdv5CHjVaRETyhNMF8zExMURERLBnzx7q1KlD9erVU37Nnz8fsAfW1atXZ8WKFamu/f333xk6dCh+fn7MmjWLcuXK5Vm7kqc5XL/PvYiIiEh+atXSYOwYI83oe1AQjB1j0KqlkWmZe3qW57E/ZvHpviexmi50LreIuXfdT53iqYfiA27cTsQiIpIDOVoz36ZNG+69915eeOGFTMtNmDCBpUuXpgm6M+Pu7k6PHj3SPbd582YiIiJo3bo1/v7+lC1bNuXc77//zrBhw/D19WXWrFlUqFDB4Xs6YscO+z9o195TRERExBm0amkQ2sI+Ff78BXvgXS+EVGvcMyoDsOhnNz7ZN4w/I+9gXMORlCtyjBmhfZm6dxgz/3mMwCCXlLJZsVrNTNshIiJ5I0fB/IkTJ7hwIeu5VlFRUZw4cSJbdXt6ejJ27Nh0z40cOZKIiAgGDRpE/fr1U46HhYWlCuQrVqyY6T0SExM5evQobm5uqbLTHzx4kDJlyuDl5ZWq/MGDBxk/fjwAnTt3ztbziIiIiNwMFotBwwY5KzNiGLwyymTbhUb0/P1HXq33BveUXcaIWh/SPPBPrrR5B4ulZJZtCAu373t/7XZ52t5OROTGuKHZ7GNjY1P2er9RDh48yNChQ0lISKBp06b88ssvacqULVuW7t27p/z5zJkzdOjQgbJly7Jq1aqU40uWLGHGjBk0adIkJaiPiIggPDycxMREBg0aRJMmTW7o84iIiIjcbPZp+PwbiBfjpb/Gs+5sC14OGUfzwPWYB7oRV2ks1kr/y7COsHCTV0alza4fGWl/UTB2jAJ6EZG8dEMibZvNxuHDh9mwYQNlypTJ+oJcOHfuHAkJCQDpBvIATZs2TRXMZ6RZs2YcPHiQPXv2sHnzZuLi4vDz86Nly5b07t072/vVi4iIiBQUydPwDx0uSsSRywT4309icAPclr2AJXIPXgueIqFBX2LveJbtuz3STNWfODnzbfImTTEJbaEp9yIiecUwTdOhDUpr1qyZ8nvTNDGMrP8iNk2Tp556iuHDh+e8hQVMQdizEArO/oqFlfrHual/nJ/6yLmpf5xbmv5JSsB97QTct8wC4ODV6jy/4X0OX6kM2KfR39cJvpiRdd0ffWjQsIGC+dzQz4/zUx85t4LSP47sM+/wyHzp0qVTfn/q1Ck8PT0zvIGbmxtBQUG0adOGvn37OnoLEREREXE2ru4k3PUy2y7dTpVdr1C5yD6+bfkg7+18mflH7ycy0nAokAfHt7dTEj0Rkaw5HMxfu7a8Ro0a3Hvvvbz99ts3pFEiIiIi4jysVpNXvm6Jeekn3mr4Ms0D/+T1+q/TtMR63toxmqtJPg7V48j2dkqiJyLimBztMz9r1iwGDhyY120RERERESe0fYc9kd25+EAG/zmdibufIclmoX3wUua06kEt351Z1hEURJbb2yUn0bs2kIf/kuiFhTu0OlREpFDIUTDftGlTKlWqlNdtEREREREndO30eBMXvvpnAI/9MYuTMWUoX+QYM+/sw8OVZgIZB9tPDzUynSpvtZoOJdGzWhXQi4hALrPZHzt2jL/++ouzZ8+mZJS/nmEYDBkyJDe3EREREZF8lN70+B1R9ekZ9gOv1xtF2zIreL7Oe9zfYAPPrxvLwVP/5VUKCrIH8llNkU8e/c/M2bP2cg0b5OQpRERuLTkK5hMSEnj11VdZvHgxYM9anxEF8yIiIiIFW70Q+7r164Pty4m+PL95Ig9UnMsLdd7ltsQw5t3Vnb+rvs8hs0m2ktc5mhzP0XIiIre6HAXzH330EYsWLaJYsWLcd999VKxYkSJFiuR120RERETECVgsBiOG2detp2UwL6IXd/ZqQOip53CJOkzI9v7UaP4UifWeBBeLQ/dwJDledsqJiNzqchTM//zzzxQrVoz58+dTtmzZvG6TiIiIiDiZVi0Nxo4hTab55Gn0DVvWJCbxBzxWvYXbrvl4/DkFy/HNxHd4D7NIYJb1ZzT6fy1HkuiJiBQWOQrmz58/T2hoqAJ5ERERkUKkVUuD0BZkvAe8mzfx94zDWq45HivfwPXYely+7k58h/ewlr8907ozH/23yyqJnohIYZKjbPZlypTJ63aIiIiISAFgsRg0bGDQro39a3rBdVKt+4jpMw9riWq4xJzD84fHcV83GWzWTOu2j/4bBF43kB8UBGPHZJ1ET0SkMMnRyPz999/Pp59+yoULF/D318IlEREREUnN9K9E7ENz8fh9HG5/z8N9/ce4HN9MfIf3MX2CMrwuy9F/EREBcjgyP2DAAFq2bEm/fv1Yv359ptnsRURERKSQcvMkvt0Y4tq/j+nmjevxjXjN7o7lyB+ZXubI6L+ISGGXo5H5du3aAXDy5En69++Pq6srgYGBGEbav2gNw2DFihW5a6WIiIiIFFhJNTthLVkbz5+fwXJuH54/DiSx2RMk3D4UXHL031ERkUIvR397njhxItWfExMTOXnyZJ40SERERERuPab/bcQ+9B0eYe/gtmMu7hs+xeXE1iyn3YuISPpyFMzv3bs3r9shIiIiIrc6N0/i247GGtwEj+WjcD2+EZfZ9xPfYTzW8s3yu3UiIgVKjtbMi4iIiIjkVFKNjsT0+QFrQFV7tvsfH8NtwzQwbfndNBGRAkPBvIiIiIjcdKb/bcT2nkti7e4Ypg2PPybhOf9JiI3K76aJiBQIuQrm165dy5AhQ7jzzjupU6cO//d//5dybs2aNbz99tucOXMm140UERERkVuQmxfx94wl7u6xmK6euEaswfvr7ric3JrfLRMRcXo5DubfeustBg4cyMqVK7l69SpJSUmptqgLDAxk5syZLF26NE8aKiIiIiK3pqQ63Yl9aC42v4q4XDmN1/f9cPvrK9D2xyIiGcpRML9gwQJmz55N7dq1mT9/Plu2bElTpkaNGpQuXZpVq1blupEiIiIicmuzBVYjps8PJFZvj2FLwiPsXTwXD4f4y/ndNBERp5SjYH7OnDkUK1aM6dOnU7NmzQzLVa9enePHj+e4cSIiIiJSiLgXIb7DBOJav4ZpccP1nxV4f9MDl8h9+d0yERGnk6Ngfv/+/TRo0AB/f/9My/n4+HDu3LkcNUxERERECiHDIKl+b2J7foOtaGlcLh7Fa04vXHctyO+WiYg4lRyvmTcMI8syZ8+exdPTM6e3EBEREZFCylaqLjEP/0hSxTsxkuLw/PVlPJa/Dknx+d00ERGnkKNgvmLFiuzatYvExMQMy1y5coW9e/dSpUqVHDdORERERAoxLz/iuk0j/o5hmBi4/f09Xt/1xojWMk4RkRwF8/feey+RkZFMmDAhwzIffPABly9fpmPHjjlunIiIiIgUcoYLic2fIq77Z5iexbGc3Y337B5YDv2e3y0TEclXOQrmH3nkEapVq8bMmTPp2bMn06dPB+DYsWN89dVX9OnTh2+//ZaaNWvywAMP5GmDRURERKTwsVZsQczDP2ItFYIRH43XgsG4r50INmt+N01EJF8YppmzDTwvXLjAyJEjCQ8PxzAMrq+mRYsWvP/++1kmybvVREVF5XcTHOLn51dg2loYqX+cm/rH+amPnJv6x7nd6P6xWk2274DzFyDAH+qFgMWSdS6m/ypIwD3sPdy3fQNAUvnbies4Abz8blCLnYt+fpyf+si5FZT+8fPL+u8015xW7u/vz/Tp09m7dy9r167lxIkT2Gw2SpUqRYsWLQgJCclp1SIiIiJyCwoLN5k42SQy8r9jgYEwYhi0aulgQG9xJ6H1q9hK18dj+Shcj/6J9+z7ies8CVupuinFcv3SQETEyeU4mE9Wo0YNatSokRdtEREREZFbVFi4ySuj0k4IjYyEV0aZjB2TjYAeSKrZCVuJanguHmbfvm5uH+Jbv0ZS3Qfy5qWBiIiTy/HWdCIiIiIijrBa7cF1ZiZNMbFas7f60xZYjZg+P5BUuTWGNRHP5aO4MOtV3hgdlyqQh/9eGoSF52iFqYiI08nVyPzx48fZvHkzZ8+eJSEhId0yhmEwZMiQ3NxGRERERAqw7TtIE1xf7+xZe7mGDbKuL/UUeh/qdfwIz78+x/2PSZQ/9yMzQvfy/KaJnIotk+baSVNMQlv81y5NwxeRgipHwXx8fDyvvvoqP//8M0Ca5HfXUjAvIiIiUridv5B35dKfQm8wYtgTlK9Xm+CNL1C7+C6+bfkAL295n/WRd6S6/uxZmDXbZNHPaBq+iBRoOQrm33//fRYvXkxAQACdO3emXLlyeHt753XbREREROQWEODg5kZZlctq3f2DPe5gTfg8xjceQW2/XXzc/Amm7h3OFwcGAv8F6V/MSFt3Ttfui4jklxwF80uXLsXPz48FCxYQGBiY120SERERkVtIvRD7yHdmU+2DguzlMuLIuvvfVsDF2DL0/+NrRtYdS/cKPzKs5iRq+u5i1NZxxFiLZNnW5Gn4mnIvIs4uRwnwYmJiaNKkiQJ5EREREcmSxWIwYljmwfHTQ41MA2hH1t1fvAjFfSHB5sGY7WMYs200CVY32pZZwdcte1GhyOEs25q8dl9ExNnlKJivWrUqV65cyeu2iIiIiMgtqlVLg7FjDK4fCwoKgrFjjCyntju67v7udv/9/qejD/D4upmcjQ2ictFDzG7Zi1YlV2VZh6P3EhHJTzkK5vv378/GjRvZvXt3XrdHRERERG5RrVoa/PCdwUcfGrz+mv3rvDlZB/Lg+Lr70BapXxr8HVWPh8K/5+9LjSjqdoVJzYYxuPoUDGy5vpeISH7K0Zr59u3bc+bMGfr378/DDz/MHXfcQcmSJXFxSf/dQJkyabcFEREREZHCx2IxHNp+7nrZWXdvsRiEtrh267kgytf+kvg17+Gx/RsGVf+EGr67eXXLO1xOKpZuHSIizi7H+8xXr16d4sWL8/HHH/Pxxx9nWM4wDI3gi4iIiEiu2Nfdk242+2TXrrtP+9LAncQ2r7Inug41Do6mVakwZrfsxbObPuLg5Srp1iEi4sxyFMyvXr2aYcOGkZSUhJ+fH2XKlNHWdCIiIiJyQ9nX3ZNmn/mgIHsQ7sh0/Srdu7JpaRWqbRtOBZ8jfH1nL17d+jY7re0crkNExBnkKJifPHkypmny9ttv07VrVwxDf+mJiIiIyI3XquX1U+j/m1rvqAbt62ALnUfUvOfwu7iBD5qMIK7pkyS1GMa1+9GLiDizHCXAO3jwII0bN6Zbt24K5EVERETkprJPoTdo18b+NSfT4l2KBuD26OckNHwEAM+N0/BcOATiL+d1c0VEbogcBfN+fn74+fnldVtERERERG4eF1cS7hpJ3L3vYFrccT30O97f9sS4kPV+9CIi+S1Hwfw999zD5s2biY+Pz+v2iIiIiIjcVEm1uhDb8xtsPqVwiTqM97cPYjm0Or+bJSKSqRwF8yNGjKBs2bIMHjyYo0eP5nWbRERERERuKlupOsT2mYe1bCOMhCt4LhiC24ZpYGacPV9EJD/lKAHeoEGDcHFx4c8//6R9+/aULVuWkiVLprt+3jAMZs6cmeuGioiIiIjcSGaREsT2+BL339/BffscPP6YhOXsHuLuGQfuRdKUt1rNXCXiExHJjRwF8xs3bkz5vdVq5ejRoxmO0Odlgrzp06czYcIEAObOnUv9+vVTnb9y5QqTJ0/mt99+IzIykqCgIO655x6GDh1KkSJp/wLOzJo1a/j000/ZtWsXhmFQu3ZtnnrqKW6//fa8ehwRERERcTYWdxLajMIWVBOPlW/ieuA3vKIiiOsyFdM3OKVYWLiZZou8wEAYMQxtbyciN0WOgvmVK1fmdTuytH//fiZPnoy3tzcxMTFpzsfExPDwww+zZ88eQkND6dixI3v27OHLL79k06ZNfPPNN3h4eDh0r4ULF/Liiy/i7+9P9+7dAViyZAn9+/dn4sSJ3HvvvXn6bCIiIiLiXJLqPkCSXxXcFgzH49x+3Gc9QHznD6Fic8LCTV4ZlXb6fWQkvDLKZOwYBfQicuPlKJgvW7ZsXrcjU4mJiYwcOZKaNWtSoUIFFi1alKbM559/zp49exg4cCDPP/98yvHx48fz2Wef8dVXXzFo0KAs7xUdHc1bb72Fn58f8+fPp1SpUgAMHDiQrl27Mnr0aEJDQ/Hx8cm7BxQRERERp2Ifea+HcXkuHzYdTu3iu3D5cQC7yr/MxO97kdl+9JOmmIS20JR7EbmxcpQA72abNm0aBw4cYNy4cVgsljTnTdNk3rx5eHt789RTT6U699RTT+Ht7c28efMcuteyZcu4dOkSDz/8cEogD1CqVCkefvhhoqKiWLFiRe4eSEREREScVvLIe2QknI0rxWNrZ7HkeEcshpWQY28xqPQbuBoJGV5/9ixs33ETGywihVKugvl//vmHcePG0atXL+655x7ee++9lHNbtmxh1qxZXLx4MVcN3LVrF9OmTWPo0KFUqVIl3TIRERGcPXuWhg0b4u3tneqct7c3DRs25NixY5w6dSrL+yXnAwgNDU1zLvnYtTkDREREROTWYbXa18JfK97myf9teZeJu5/FZhr0qDiPT+8YgJ/7+QzrOX/BXteWrSbLV9q/Wq3KjC8ieSdH0+wBZsyYwYQJE0hKSgLsie6ioqJSlXn77bdxd3enV69eObpHQkICL730EjVq1GDAgAEZljty5AgAFStWTPd8xYoVWbt2LREREZQuXTrTe0ZERABQoUKFNOeSjyXfLz2+vr64uBSICQ/4+fnldxMkE+of56b+cX7qI+em/nFuhbl/Nm5KJDLyUjpnDL7653EOXqrCuEYv0ijgL75p2ZNnNk5m36WaaUqfO+fJg73jOXPGlnKsZEkXXn7Rm3ZtHcvjlJHC3D8FhfrIud0q/ZOjYP7333/n3XffJTg4mJEjR9KwYUPuuOOOVGUaNmyIv78/K1euzHEwP2nSJCIiIvjpp5/SnV6f7PLlywAZrmNPPn7lypUs75lcpmjRohnWk3y/9ERHR2d5D2fg5+eX5uWLOA/1j3NT/zg/9ZFzU/84t8LePxFHMh89X3O2Ff3WfMukpkMp73OUr0L7MmrrWJafuielTLFiMPWT2DTXnjljY8RzVxg75mqOE+QV9v4pCNRHzq2g9I8jLxxyNIQ8Y8YMvLy8mDFjBm3btsXf3z/dcjVq1ODw4cM5uQVbt27lyy+/ZPDgwVSrVi1HdYiIiIiIZEdA+v+tTeXwlcr0WfMd687egZdrLO83eZZB1T7GwJb1xdgT5GnKvYjkVo6C+V27dlG/fn3KlSuXaTk/Pz/OnTuX7fqTkpIYOXIk1atX54knnsiyfPIoekYj78nHHclAn9noe2aj9iIiIiJS8NULse8Xn5mgIHjxFV/eOPgJXx/sB8DgGlOZ2OJ5Bj0ay6X0ZulfQwnyRCQv5GiafWJiIkWKFMmy3IULFzKdHp+RmJiYlLXrderUSbdMz549AZg6dSqVK1cG/lvvfr3k4xmtqb9WxYoV2blzJ0eOHEkztSF5rXx66+lFREREpOCzWAxGDCPdfeSTPT3UoFVLg5Z3urF9x0i2HKhK/RNv0CrgV0JijzHfczJn40pleD3YE+SJiORGjoL54OBg9u7dm2mZhIQE9u3b51AAfT13d3d69OiR7rnNmzcTERFB69at8ff3p2zZslSsWJGgoCC2bNlCTExMqoz2MTExbNmyheDg4CyT3wE0adKEn3/+mbVr11K/fv1U59auXQtA06ZNs/1MIiIiIlIwtGppMHYMTJxs354uWVDQf4E82AP/hg2ABj2IO14Rr8XD8YvdnZIYb+fFkAzv4ch0fhGRzOQomG/dujWff/45M2bMoH///umW+fzzz7lw4QL9+vXLdv2enp6MHTs23XMjR44kIiKCQYMGpQq2H3jgAaZOncrHH3/M888/n3L8448/JiYmhieffDJVPbGxsZw8eRIvLy/KlCmTcrx9+/aMHz+e2bNn06NHj5S95k+fPs3s2bPx8/Ojbdu22X4mERERESk4WrU0CG1hnw5//oI9+K4XYg/g02MLbkxM73l4LhhM4PkDfNHiEd7Y9iZLTnRKUzYoyF6XiEhu5CiYHzBgAIsXL+a9995j+/bttGvXDoDz58+zfPlyli9fzuLFiwkODqZPnz552uDM2rRy5Uo+++wz9uzZQ61atdi9ezdr166lbt26PPLII6nK79ixg379+tG0aVO+/vrrlOO+vr689tprvPjii3Tr1o0OHToAsGTJEi5evMiHH37o0Np7ERERESnYUkbeHWT6liX2oTlcmf0CpS6uZlyjl6hc9B+m7B2OeU2qqqeHGhm+FBARcVSOgnlfX19mzJjB8OHDWbZsGb/++isAa9asYc2aNZimSZUqVZg6depNC3y9vb2ZPXs2kydP5rfffmPDhg0EBgby2GOPMWTIEDw9PR2uq0uXLvj5+fHpp5/y008/Afa1+4MHD06zBZ+IiIiISAr3Ivj0n8I/cz6kyunPebzaZ1QqepD/2/IORQOKpJqmD2C1mg6P/ouIXMswTTPH+2LYbDZWrVrFH3/8wYkTJ7DZbJQqVYo77riDe+65J0fJ7wq6grBnIRSc/RULK/WPc1P/OD/1kXNT/zg39U/ecdm5EM/lr+FiJnLFpzq2B6bi4lc25XxYuJlmXX5gIIwYZmS4D736x/mpj5xbQekfR/aZz9HIfDIXFxfatm2rNeQiIiIiItex1elCnH8FPBcNxefKPmxzexHXZQq20vUICzfTzZgfGWnPpD92DBkG9CIikMN95kVEREREJGu2MvWJ7T0Xa4lquMScw+v7frjs/oWJkzOfHDtpionV6tgEWqvVZMtWk+Ur7V8dvU5ECrYcBfO//fYb3bp1488//8ywzLp16+jWrRsrVqzIceNERERERAo6s1hZYnt9S1KluzCsCXgve57ufh8DGQfdZ8/aM+lnJSzcpEcvk+HPmLzxpv1rj14mYeEK6EVudTkK5n/66SdOnjxJo0aNMizTuHFjTpw4wY8//pjjxomIiIiI3BLcixB33xQSGtm3dR5cYypvN3wBD5e4DC85fyHzKpOn6l+75h7+m6qvgF7k1pajYH7v3r1Ur14dd3f3DMu4u7tTo0YN9u7dm+PGiYiIiIjcMlwsJLR6kf3V3yTR5kr74KV8dkd/Ajwi0y0e4J9xVVarmadT9UWk4MlRMH/+/HmCgoKyLBcYGMj58+dzcgsRERERkVtSyXvvZ+Sez7iY4EuI/w5m39mLasVSD4AFBdm3qcvI9h2kGZG/nqNT9UWkYMpRMF+sWDFOnTqVZbnTp0/j7e2dk1uIiIiIiNySLBaD1o80o9+aOURcqUhp79PMCO3LnUFhKWWeHmpkut98VlPws1tORAqeHAXzdevWZdu2bezbty/DMvv27WPbtm3UrVs3x40TEREREbkVtWppMOilijyz+1vWRzaniGsME5sNZWDdbxg7JuN95pNlNgU/J+VEpODJUTDfu3dvrFYrgwYNYtmyZWnOL1u2jEGDBmGz2ejdu3euGykiIiIicqtp1dLgq2+Kk9jjUyL878di2Bhy2zjaJY0FW1Km19YLgcDAzOvPaqq+iBRsrjm5qGXLljz66KN89dVXPPPMM7z++usEBwcDcPz4cS5duoRpmvTt25f//e9/edpgEREREZFbhcVi0KCROzR8k/jNt+G+ZgLu277B5eJR4jp+AB4+GV43Ypg9a31GspqqLyIFW45G5gFGjhzJu+++y2233UZ0dDS7du1i165dREdHU6lSJd555x1eeeWVvGyriIiIiMityTBIbPI4cZ0nYrp64hqxBq+5fTAunczwklYtDcaOMdKM0AcF4dBUfREp2HI0Mp+sS5cudOnShbNnz3L69GkASpUq5VCmexERERERSc1a9W5ii5bGc+FTWM7tx+vbnsR1/RhbqfTzULVqaRDawp61/vwF+xr5eiFoRF6kEMhVMJ8sKChIAbyIiIiISB6wlapL7ENz8Vww2B7Qf9+PuPbvYq16d7rlLRaDhg1uciNFJN/leJq9iIiIiIjcGGaxMsT2+pakindiJMXhtfhp3DZ9gWlmvEZeRAqXXI3Mb968mZUrV3LkyBGuXr2a7l8uhmEwc+bM3NxGRERERKTwcS9CXNePcf/9Hdy3fYPHmvHY4s5Ci/9v787jbCz/P46/7nNmN5YZZixDTWSQLfuaEfENIbTIl4qUFCGlIr6lr7RaIhJF0VeR0IKEzFD2sSRShqFsM1mGMfs59++P85vJmMUYs5wz834+Hh7jXPd1X/d1n8s9x+dc2/NgyZcBtiLiwvL0W8A0TcaOHcuKFSvSA3jDMDIE82mvDUPzdURERERE8sTiRnKHlzHL3YTHxjew7/gUr5ijJN4zFTxKFXXtRKQI5WmY/eLFi1m+fDl169Zl/vz5dO7smL+zZs0a5s6dS69evbBYLDz22GOsW7cuXyssIiIiIlJS2GwmEbtNVp0fwIF60yF9pfv+GJdOF3X1RKQI5alnfvny5Xh7ezN37lz8/Pz4+uuvAQgODiY4OJg77riD0NBQRo0aRaNGjQgKCsrXSouIiIiIFHdh4SbTZpjExKSldOSO6p/y9u1D8Yr5zbHSfa8PsAfWKcpqikgRyVPPfGRkJI0bN8bPzy9Dus1mS//73XffTd26dfn4449vrIYiIiIiIiVMWLjJuAlXBvIOm4/WpffqxVzyqoHlcjTeX/THeiSsaCopIkUqT8G8aZqUK1cu/bW3tzcAsbGxGfLdfPPN/P7773mvnYiIiIhICWOzOXrks2KacDIhiIc3LSK1aguMlHi8Vj6F297FhVxLESlqeQrmAwMDiY6OTn9dpUoVAA4ePJghX1RUFFar9QaqJyIiIiJSsuzdR6Ye+asdPVWGLTXmkFK3F4Zpx2v9RDzC3gbTXjiVFJEil6dgvm7duhw+fDh9WH3btm0xTZO3336byMhI4uLimDdvHr/++iu33XZbvlZYRERERKQ4O3sud/n+vuBBUudJJLV+BgCPXR/j+d1oSE0qwNqJiLPI0wJ4HTp0YNWqVWzcuJGOHTtSu3ZtunXrxnfffcc999zzT+FubowaNSrfKisiIiIiUtyV97+OfIZBSsuhmGWC8Fz7Mu6/r8ESF01Cz5ng7VjfymYz2bvP8SVBeX9o2ACsVm0fLeLq8hTM33PPPXTu3DnDEPo33niDWrVqsW7dOmJjY7nlllsYPHgwDRo0yLfKioiIiIgUdw0bQEBAzkPtAwMd+dKk3tYD07ciXt8Mx3oyAp/P+5HQ60M27qt61Yr4jrJHDofQdgroRVyZYZpm1qtrSJ6cP3++qKuQK35+fi5T15JI7ePc1D7OT23k3NQ+zk3t4xzSVrO/mmE4FsGbNNHIMhi3/P0HXsuHYLl0iiQ3fx7b8D77L2TduZZdGXJj9Aw5N1dpn6t3jstKnubMi4iIiIhIwQltZzBpokFAQMb0ioGWHINwe4WaJDz0ObaA2nimnmNu64GEVtyQZd7pM01sNvXribiqPA2zFxERERGRghXazqBtGzLMd28fWo6LFy/keJ7pG8jW2gsx94+ibcXNTGk+grd+eYkvovplyBcd7Si7caMCvAkRKTC5CuY7duyY5wsYhsG6devyfL6IiIiISElltRoZgu3cLlwXfbEUk7bPZGyD1+h98zJeajCJKj4nmXbgWcwrBufmduV8EXE+uQrmT5w4UdD1EBERERGRfFLeH1JNdybufZWT8UEMq/Mej9w6n0Cv00zY8zopdo/0fCLimnIVzP/2228FXQ8REREREckn/6yIbzDvjyGcSqjMK7ePp0vV1VTw+ptnt7+Ht3+ZDCvii4hr0QJ4IiIiIiLFjNVqMHL4P0Pyv/urB8O3zSYupRTNKuzg47YP88ITZ7TfvIgLUzAvIiIiIlIMXb0i/taY1jz20yecTQ6gZpk/uPNIPyx//160lRSRPLuh1eyjo6P56quv2LlzJ9HR0QAEBgbStGlTevXqRcWKFfOlkiIiIiIicv0yr4h/G+7B/8O+cgiWc0fw/qI/iT1mYqvWvKirKiLXyTBNM0+bSy5fvpyJEyeSmJjI1UUYhoGXlxcvv/wyffr0yZeKuorz588XdRVyxc/Pz2XqWhKpfZyb2sf5qY2cm9rHual9nFu+tU/CBby/Hob1xC5MqztJd79Baq2uN16u6Blycq7SPn5+ftfMk6ee+bCwMMaOHYvFYqFLly5069aNoKAgAE6ePMl3333HmjVrePnll6lQoQKhoaF5uYyIiIiIiBQE73Ik9PkIr9VjcPtjLV7fjSYpLpqUJo9mmd1mMzPsd9+wQe63yRORgpGnYP6DDz7AMAxmzZqVKVCvXbs2HTp0oEePHjz55JPMmTNHwbyIiIiIiLNx8ySx2xQ8wt7EY/dCPMPexLh0muTQMWD8s7RWWLjJtBkmMTH/nBoQACOHO4bxi0jRyNMCeL/99htNmjTJMUgPDQ2ladOmHDx4MM+VExERERGRAmSxktz+JZLaPQ+AR8QneK4aA6nJgCOQHzchYyAPEBMD4yaYhIXnacauiOSDPAXzHh4eBAYGXjNfYGAgHh4eebmEiIiIiIgUBsMgpekgEru8hWlxw/3Qd3itGIIt/hLTZuQcrE+faWKzKaAXKQp5CuabN2/Ovn37sNvt2eax2Wzs3buXZs2a5blyIiIiIiJSOFLrdCfx3g8w3X1wO74V66KHsV+MyfGc6GjHSvkiUvjyFMw/++yzXLhwgXHjxnHp0qVMx+Pi4hg/fjwXL17k2WefveFKioiIiIhIwbHZTCJ2m6yJbM3uhp9g9y6Pb9xvfNK2PzeVisrx3LPnCqeOIpJRnhbA++6777jzzjtZvnw5a9eupU2bNumr2Z84cYKffvqJ+Ph4unfvzqpVqzKcaxgGTz/99I3XXEREREREbljmBe5uo0HVRbzX9AmqlvqTBW3788y2Wey/0CDL88v7F1pVReQKedpnvnbt2hiGkWl/+Vxd0DCK9aJ4rrBnIbjO/oolldrHual9nJ/ayLmpfZyb2se55Xf7pC1wlxV/z7+Z1fopapf+lYRUb57bOZWfou/IkCcwEJYuNrRN3RX0DDk3V2mfAttnfvLkyXk5TUREREREnITNZua4wN25pAqM2DOf/9QaSevAn5ne/Gle3TuRb/68Nz3PiGEK5EWKSp6C+V69euV3PUREREREpBDt3UemLeeuduZ8KXbXfp/4Q+O5K+BbXms0Dn+Pc6y+NIgRwwztMy9ShPK0AJ6IiIiIiLi23C5cV6WaJ81ee4M/qz0KwKi67/LNU28Teoe2pBMpSnnqmU9ISOD8+fOUK1cOHx+f9PTY2Fjmzp3LH3/8QeXKlRk0aBA33XRTvlVWRERERETyR24XrivvD1Y3K373v0DSzgA8w9/GM2IBloRzJHX+L1jdC7aiIpKlPAXzs2bNYt68eSxdupR69eoBkJyczAMPPMDx48fTF8b7/vvvWblyJYGBgddVflJSElOmTGH//v0cO3aM2NhYypQpQ7Vq1bj//vvp0aMH7u7//NKoVavWNcvcuHEjlStXvma+Dh06cOLEiSyPNW/enIULF+b+RkREREREnFTDBhAQkPNQ+8BAR740KU0HYfr44/n9y7gf/Boj4TyJ3adhs3izd5+jt7+8v+MczaUXKVh5Cua3bt3KTTfdlB7IA6xcuZJjx47RsmVLHn/8cTZu3MjChQtZsGABY8aMua7yL1++zOLFi2nQoAHt27fH39+f2NhYNm3axNixY1m1ahVz587FYnHMEhg2bFiW5Rw7doxvvvmGW2+9NVeBfJrSpUvzyCOPZEpP235PRERERMTVWa0GI4eT7Wr2kPUCd6m33YvpVQ6vb0fhFrWJlI8H8djGWRw5VS49T0AAjByO5tSLFKA8BfOnTp3itttuy5C2YcMGDMNg8uTJVK5cmTZt2rBp0yY2bdp03cF8uXLl2LlzJx4eHhnSU1NTGThwIJs3byY8PJz27dsDMHz48CzLee211wC47777ruv6ZcqUybZMEREREZHiIrSdwaSJXLXPvKNHPqcF7mzV25Nw38e4LX0Sv8t7ebv2AJ46/yFnEh0daDExji8JJk1UQC9SUPK0AF5sbCylS5dOf22aJhEREdSqVStDD3jt2rU5derU9VfKYskUyAO4ubnRqVMnwNHrnpOkpCS++eYb3N3d6dmz53XXQURERESkJAhtZ/Dl5wbvTTX4z3jHz6WLr71SfUrF2xm6ayGnEypRo/QRPrmjP7f4RmbIM32mic2mhfJECkKegvmAgIAM88r3799PbGwszZo1y5DPMPL3Wzi73c6mTZsACAkJyTHv2rVriY2NpUOHDvj753J1j/+XnJzMV199xQcffMCiRYvYu3dvnussIiIiIuLsrFaDxo0MOnV0/MzNfPe9+2DX8Vt5ZNMijlyqTiXv08xvO4D6fv/83zk62pFPRPJfnobZ165dm40bN7Ju3TpatmzJrFmzMAyDO++8M0O+Y8eOXffid1dKTk5mzpw5mKbJhQsX2LJlC0eOHKF37960atUqx3O//PJLAO6///7rvm5MTAwvvfRShrT69eszZcqUa67OX7Zs2fS5/M7Oz8+vqKsgOVD7ODe1j/NTGzk3tY9zU/s4N2dpn8SkJCCOM4mVGbh5ITNaDKWB/z4+bPUYz+6YxpaYtv+frxR+fp7YbCa7IlKJ+dtOQAULTRq7FdtF8pyljSRrxaV9DDNt6fnrEBERQf/+/dNXrTdNkzp16rBs2bL0QPbvv/+mXbt2dOvWjbfffjtPlbt8+TKNGzf+p7KGwcCBAxk9ejRubtl/D/Hnn3/SqVMnKleuzPr1668ruJ45cyZNmjQhJCQEHx8foqKimD9/PitXriQoKIivv/4aX1/fbM8/f/58rq9VlPz8/FymriWR2se5qX2cn9rIual9nJvax7k5U/tE7DZ5ZtQ/oYSXNZ53m42kTeBPpNjdGBfxBmtPduG9qQaXLmWel+9YJO/aw/ldjTO1kWTmKu2Tmy8c8tSF3Lhx4/Sgt3r16vTo0YPZs2dnCJq//fZbSpUqxR133JGXSwBQqlQpDh06xMGDBwkLC2PChAl8+eWXDBgwgLi4uGzPW7ZsGaZp0rt37+vuJR82bBitWrWifPnyeHt7U6dOHd566y169uzJiRMnWLp0aZ7vR0RERESkuEjb2i5Nos2HEdtmsuZEF9wtqbzR5HkG1f+c2FiTcRPMTFvgpS2SFxauOfUieZGnnvmitHr1akaOHMngwYN5/vnnMx232+3ceeedREdHs379eqpUqZIv1921axf9+vWjc+fOzJgxI9t8rvAtD7jON1IlldrHual9nJ/ayLmpfZyb2se5OVv7hIWbmba2s2DjxfqTeOCWLwCYf3w40/cMAbLugQ8MhKWLczdP3xU4WxtJRq7SPgXWM1+U2rZ1zL3Zvn17lsc3bdrE6dOnad26db4F8vDPmxkfH59vZYqIiIiIuDLH1nZGhh56O1bmnRnP75WHAjDwphk8X/cNDOxZlqFF8kTyJk8L4BWl6OhogGznzN/Iwnc52bfP8RsmKCgoX8sVEREREXFloe0M2rZxBORnz0F5f2jYwMBqfYa9n5ej4cnJ/LvGIsp6xPLKntdINd0zlXH2XBFUXMTF5SqY79ixI4ZhMH/+fKpVq0bHjh1zfQHDMFi3bt11Verw4cMEBQXh7e2dIT0hIYHJkycDEBoamum8c+fO8eOPP+Lv70+HDh2yLT8lJYXjx4/j7u6eYXX6yMhIqlSpkum6kZGRvPPOOwB07979uu5FRERERKS4c2xtlzk9ttYAxn5TjomNxnJPtW8o7X6RMTunkGT3ypCv/PXtJC0i5DKYT9tTPjU1NcPrgrJ69Wrmz59PkyZNCAoKwtfXlzNnzhAeHs6FCxdo2rQpjz76aKbzVqxYQUpKCj179sTDwyPb8s+cOUPXrl0JCgpiw4YN6emrVq1i/vz5NGvWLD2oj4qKIjw8nJSUFIYMGUKzZs0K4pZFRERERIqdhg3gteR7GLW9NG83G0VopTBmtXqCEdveJy61NOCYM9+wQRFXVMQF5SqY/+2333J8nd/at29PdHQ0u3fvZs+ePcTHx+Pr60utWrXo1q0bffr0yXKY/Y0OsW/RogWRkZEcPHiQnTt3kpiYiJ+fH+3ataNfv37p8/VFREREROTarFaDkcNh3IRQntwylxktnqZJ+V3MbT2Qp7bO4XxyeUYMKz6L34kUJpdbzd7ZucLKiOA6qziWVGof56b2cX5qI+em9nFuah/n5qrtExZuMm2GiX/SQWa1GkJ5z7P8mRDM783n0aJT7tekstnMq+bm43RfBLhqG5UUrtI+uVnN3uUWwBMREREREdfyzyJ5txFxaiF3HH2MakQRFDWAhPMfYfrdcs0y0r4QuHK/+oAAGDncUb5ISZOnYD4iIoJt27YRGRnJxYsXMQyDsmXLcuutt9KiRQsaNmyY3/UUEREREREXlr5IXqNbsF36DPuXj2E5fxTvz/uT2Gcu9sDbsj03q/3sAWJiYNwEk0kTFdBLyXNdwfxvv/3G2LFjOXjwIABXj9A3DMcD1KBBAyZNmsStt96aT9UUEREREZHiwixdmfgHF+H91eNYow/gveQREu6djb1q00x5bTZHj3xOps80advG+YbcixSkXAfz+/bt45FHHiEhIQFvb2/atWtHnTp18PPzwzRNzp8/z8GDB9m0aRN79+7lwQcfZOHChdx2W/bfsImIiIiISAnl40/C/QvwXvEU1hM78f7qcRK7T8d2S7sM2fbuI8PQ+qxERzvyZbU9nkhxlatg3maz8fzzz5OQkMB9993Hiy++iK+vb5Z54+LimDx5MsuWLWP06NGsWrUqvcdeREREREQknWdpEnrPxevbkbgdDcNr5dMkdXmT1Fpd07OcPZe7onKbT6S4sOQm0/r16zl27Bhdu3blv//9b7aBPICvry+TJk3i7rvvJioqKsM+7iIiIiIiIhm4e5HYYwYptbph2FPx/O453PYtST9c3j93xeQ2n0hxkatg/scff8RisTBq1KhcFzx69GgA1q1bl7eaiYiIiIhIyWB1J6nLm6Q0eBADE691/8F91wLAsf1cQEDOpwcGOvKJlCS5Cub379/PLbfcQrVq1XJdcLVq1ahevTq//vprnisnIiIiIiIlhMVKUsf/kNz0MQA8w97E4+eZWC0wcnjO03ZHDDO0+J2UOLkK5mNiYggODr7uwoODg4mOjr7u80REREREpAQyDJLvGE1Sm5EAeGx9H4+wNwm9AyZNNDL10AcGOtK1LZ2URLlaAC8uLo7SpUtfd+G+vr7ExcVd93kiIiIiIlJCGQYpLYaAuw+eG1/HI+ITjOTLhN71Cm3bWNi7z7HYXXl/x9B69chLSZWrYD41NTVPK9JbLBZsNtt1nyciIiIiIiVbSuMBmB6l8PxhPO77v4SUyyTd/SaNG7kXddVEnEKuhtmLiIiIiIgUttR6vUns9i6mxR33Q6vx+uYZSEks6mqJOIVc9cwDrFixghUrVhRgVURERERERDKyhdxNorsPXl8/g9uRjXiteJLEnu+DR6mirppIkcp1z7xpmnn6IyIiIiIiciNst7QjofeHmB6lcPtzG95fDoLE2KKulkiRylXP/G+//VbQ9RAREREREcmWvVpzEu6bj/eyx7Ge3of30oEk9JkHPv5FXTWRIqE58yIiIiIi4hLsleqT8MAn2H3KY405iPfShzHitBW2lEwK5kVERERExGXYA2qR8MBC7L4VsZ6NxPuLARgXTwBgs5lE7Db5Yb3jp82mab9SfOV6ATwRERERERFnYPrfQsKDi/D+ciCW2ON4fzGAsJs/4vW5NxMT80++gAAYORxC22kveil+1DMvIiIiIiIuxyxb1dFD7xeM5dIp6u18mDKJhzPkiYmBcRNMwsLVQy/Fj4J5ERERERFxSWbpSsT1+ZQjl0MI8Pqbea0foVaZg5nyTZ+pIfdS/CiYFxERERERl7UnsgKPhs/n1/N18fO8wLw2A2ngtydDnuho2LuvaOonUlAUzIuIiIiIiMs6ew4uppRjyJaPiDjbmNLul/ig1WCalN+RKZ9IcaJgXkREREREXFb5/99mPi61NE9tncPWmFb4uCUws8WTtAz4OVM+keJCwbyIiIiIiLishg0cq9YDJNp8eGbb+2w60w5vt0SmN3+aOypuJDDQkU+kOFEwLyIiIiIiLstqNRg5/J+t55LtnozaPp31p+7C05rMlGYjmPzvdVitjjzai16KCwXzIiIiIiLi0kLbGUyaaKT30KeaHryw8x1+/LsL7pZUGh95FrffviMs3OS+vibPjDJ59TXHz/v6aus6cU1uRV0BERERERGRGxXazqBtG8eq9WfPQXl/DxrWe4uU9Z64H1iB56rn2bY7kZiYXhnOS9uLftJERxkirkLBvIiIiIiIFDmbzbwiEHfMcU8bGp9bVqtB40ZXpriR9K9J2C3ueO5fysRGL+NuSWHZsQcynTt9pknbNtd/TZGiomBeRERERESKVFi4ybQZJjEx/6QFBMDI4fnQW25Y2FbhFf464km/6osY3/BVPCzJLD7aP0O2tL3oM34ZIOK8NGdeRERERESKTFi4ybgJGQN5+Gf4e37MZz973uCt/S8y/49BALxQfzKP3vpR5nzai15ciIJ5EREREREpEjabo0c+J9Nn3viK84495g2mH3yWOYeGAjDytikMrjkni3wirkHBvIiIiIiIFIm9+8jUI3+1tOHvN+KfvegNZh8axsyDzwAwrM57DAmZBZjai15cjoJ5EREREREpErkd1n6jw9+v3ot+3h9DmHbgWQCG1n6fp2u/x4intfiduBYF8yIiIiIiUiRyO6w9P4a/X70X/YLDj/HO/jEAPB7yIZ2Md8HUfvPiOrSavYiIiIiIFIm04e85DbXPz+Hvmfeif5QEuxveYa/jsfNjsKeSHPoiGOqhF+enYF5ERERERIqEY/i7Y9X67IwYZuTr8Per96K3MYBEN3e81r+KR8SnYLeRfOc4BfTi9DTMXkREREREiszVw9/TBAbCpInGje8znwupDfuS2Ok1TAw89nzGxS9e4Yd1NiJ2Z15J32Yzidht8sN6M8vjIoVFPfMiIiIiIlKkMg9/dwytL8wF6VLr38dvf1hpcHQcVU4ugS2pjNj7KhUCLIwc7qhjWLhjK70rpwUEBJB+XKQwKZgXEREREZEid/Xw98IWFm4y7r2edAmy8t/GL9Hr5q+wGHZe3TORcROs9Otr8r/PM58XE+OYJjBpogJ6KVwaZi8iIiIiIiWazebocQdYfeIeXtr1Fql2Kz1vWsGrjV7Ggo3Pl+RcxvSZGnIvhUvBvIiIiIiIlGh792VcUX/tyS68tOttUu1Wulf7momNxoHdlmMZ0dGOckQKi4J5EREREREp0c6ey5z2w6l/8cKud0ixu3FPtW/4b+OXsBqp112OSEFRMC8iIiIiIiVaef+s09ef6pwe0Het+h3/bfRijgF9duWIFAQF8yIiIiIiUqI1bECmrfHSbDjViTE7p5Bid6NL1dW83viFLAP6wEBHOaDt66RwaDV7EREREREp0axWg5HDHavSZ+XH0x35xmsq3RNH8a+gNRiYjI14k1TTPT3PiGEGVqvBD+uSmPSGtq+TgqeeeRERERERKfFC2xlMmmhk6qEPDIRJEw06D7uLPSHTSbG70TnoeyY3eR43IyX9eNo+9KOei8sQyMM/29eFhauHXvKPU/bMJyUlMWXKFPbv38+xY8eIjY2lTJkyVKtWjfvvv58ePXrg7v7Pt2AzZsxg5syZ2Za3fv16qlatmuvrHz16lGnTprF161YSEhIIDg6mb9++PPTQQxiGvk0TERERESmOQtsZtG3jWJX+7DnHHPiGDRw99wB1enQg+fAMrN88Q6cqP3B7w+fxePAdrB4e6dvbmTnE69NnmrRt8095IjfCKYP5y5cvs3jxYho0aED79u3x9/cnNjaWTZs2MXbsWFatWsXcuXOxWDIOLOjVqxdBQUGZyitTpkyur3348GH69u1LYmIiXbp0ITAwkLCwMF599VUiIyMZP378Dd+fiIiIiIg4J6vVoHGj7I+bt7Yn6d6ZeH09jICYH0hd8xyJ3d5l7z63TD3yV0vbvi6n8kVyyymD+XLlyrFz5048PDwypKempjJw4EA2b95MeHg47du3z3C8V69etGjR4oau/corr3Dp0iU+/PBDQkNDARgxYgQDBw5k0aJF3HPPPTRqpKdPRERERKSkst3SjsTuM/D6Zjhuh3/Aa9VznPN+m9yEV9q+TvKLU86Zt1gsmQJ5ADc3Nzp16gTAsWPH8v26R48eZceOHbRo0SI9kAfw8PBgxIgRACxZsiTfrysiIiIiIq7FVj2UxO7vYVrdcftjLW1OOebQX4u2r5P84pQ989mx2+1s2rQJgJCQkEzHd+zYwd69e7FYLAQHB9OqVStKlSqV6/K3b98OQNu2bTMda9KkCT4+PuzYsSOPtRcRERERkeLEVr09id3fw+ubZwiIWcu7rQye2/omKXb3LPNfuX2dyI1y6mA+OTmZOXPmYJomFy5cYMuWLRw5coTevXvTqlWrTPlnzJiR4XWZMmUYN24c9957b66uFxUVBcDNN9+c6ZjVaqVq1aocPnyY1NRU3NyyfuvKli2baS6/s/Lz8yvqKkgO1D7OTe3j/NRGzk3t49zUPs5N7eNkmvTC7lsK2+LHCK3wPZMaw9iIt0i1/xMvpK2hPfYFXypU8Cyiikqa4vIMOXUwn5KSkmGVesMwGDRoEKNHj86Qr3bt2rz++us0b96cwMBAYmJi2LhxI++99x4vvvgipUuXpmPHjte8XlxcHAClS5fO8nipUqWw2+1cvnyZsmXLZpknNjY2t7dXpPz8/Dh//nxRV0OyofZxbmof56c2cm5qH+em9nFuah8nFdgMa/fpeH09gs5VvsfDw2D0ljexmY5wKyDAsQ990ybxnD8fX8SVLdlc5RnKzRcOTh3MlypVikOHDmG324mOjmbDhg1MnTqVPXv2MHfuXHx9fQHS59GnqVq1Kv3796dGjRoMHDiQadOm5SqYFxERERERyQtb9TtJ7DEd729G0L7CGlY/Bj9Xegv/8m4ZtrcTyS8uMR7cYrFQqVIl+vXrx8SJE4mIiGD27NnXPK9Vq1bcdNNN/P777+m97jlJ+3Lg0qVLWR6/fPkyhmFc1zx8EREREREpGWzV78Ta9yNMizuB0WvolvQijRvaFMhLgXCJYP5KaYvTpS1Wdy1pwxMSEhKumTc4OBjIeqV8m83GX3/9RdWqVbOdLy8iIiIiIiWbpXZnErtPw7S4435oFZ5rXgK7rairJcWQywXz0dHRALkKqOPj4/njjz/w8fHJ1ZyDZs2aAbB58+ZMx3bt2kV8fHx6HhERERERkazYanQg8Z4pmBY33H/7Fs/vxyqgl3znlMH84cOHs+xJT0hIYPLkyQDp+8DHxcVx9OjRTHkTExMZP348ly9f5u67784U/EdGRhIZGZkhrXr16jRr1oxt27YRFhaWnp6cnMz06dMBuP/++2/s5kREREREpNiz3XoXiV3fxTSsuB/8Gs8fJoBpdxyzmUTsNvlhveOnzWZmPj8XeaRkc8rx4qtXr2b+/Pk0adKEoKAgfH19OXPmDOHh4Vy4cIGmTZvy6KOPAnDhwgW6dOlC/fr1qVGjBhUqVODs2bP8/PPPnD59mpCQEMaMGZPpGl27dgXg0KFDGdL/85//8NBDD/H000/TtWtXAgICCAsL448//qB///40bty4wO9fRERERERcny2kM0nm23iueh73X78Cw8Jaz1eYNtMgJuaffAEBMHI4hLZzzK0PCzeZNsPMMY+IUwbz7du3Jzo6mt27d7Nnzx7i4+Px9fWlVq1adOvWjT59+qT3tJcrV45+/fqxb98+wsLCuHjxIp6entSoUYMBAwbQv39/vLy8cn3tmjVrsmTJEqZNm0ZYWBjx8fEEBwczYcIE+vXrV1C3LCIiIiIixVBqrS5g2vFcPQb3/V8SH2UhJmYC8E9QHhMD4yaYTJroeD1uQuZe+CvzKKAXAMM0TY3XyEeusGchuM7+iiWV2se5qX2cn9rIual9nJvax7mpfZxfdm1k+XUlXmtewmKYfHG0L5N/eZkrA3pw9L4DGXrkrxYYCEsXG1ohP49c5RnKzZpvTjlnXkREREREpDjZmdyD/+z5L3bT4MFbPmdMvTeAjP2qMTE5B/IA0dGwd1/B1VNch4J5ERERERGRAnb2HHzz5728uscxlr5f9UWMrvsWVwf0uS1LRMG8iIiIiIhIASvv7/i58s/evLb3PwAMqPEpI+pM4XoD+rSypGRTMC8iIiIiIlLAGjb4Z078smMPMGnfeAAG1vyYobVmAo7jaXmyExjoKEtEwbyIiIiIiEgBs1oNRg7/Z9G6pVF9eeuXFwEYUusDBtecw8jhGfNkZcQwLX4nDgrmRURERERECkFoO4NJE4303vf/HR3AtAPPAjCsznvc5f1xpjxpAgNh0kRD29JJOqfcZ15ERERERKQ4Cm1n0LaNY0X6s+egvP9gEhNT8dryHp6b3gGrO6HtHr4qj2NovXrk5UoK5kVERERERAqR1WrQuNE/r1MZSrI9GY9tH+C5cTKm1R0aPpQhj8jVNMxeRERERESkiCW3fobkpo8B4LV+Im6/fFnENRJnp2BeRERERESkqBkGyXeMJrnRAAA8f5iA24GVRVwpcWYK5kVERERERJyBYZDc/iVSGvbFwMTz+7G4HVpV1LUSJ6VgXkRERERExFkYBkkdxpNSrw+Gacdz1Rish9cVda3ECSmYFxERERERcSaGhaROE0mp0wPDtOH13bNYj24q6lqJk1EwLyIiIiIi4mwMC0n/mkRqzX9h2FLw+no41uNbi7pW4kQUzIuIiIiIiDgjixuJXd8itfqdGLYkvFY+jeVEBAA2m0nEbpMf1jt+2mxmEVdWCpv2mRcREREREXFWVg8S75mK18qncDv2M97Lh/BTjY959eO6xMT8ky0gAEYOh9B2RtHVVQqVeuZFREREREScmZsniT1mYqvaDCM5jvp7B+OX9FuGLDExMG6CSVi4euhLCgXzIiIiIiIizs7dm7juszhwqSFlPS7yQavHucU3MlO26TM15L6kUDAvIiIiIiLiAvb+Voohmz7gwIXb8Pc8x5zWj1Gt1LEMeaKjYe++IqqgFCoF8yIiIiIiIi7g7Dm4lFqGoVvm8sfFmgR6xTCn1WNU9j6ZKZ8UfwrmRUREREREXEB5f8fP2JRyDNkyj6OXbqGKzynmtHqMCp4xmfJJ8aZgXkRERERExAU0bOBYtR7gXFIFhmyZx4nLQdzke5wPWg2mnMd5AgMd+aT4UzAvIiIiIiLiAqxWg5HD/9l6LjqxEk9s+YjohEBuLXOY91sOYfSTcVit2p6uJFAwLyIiIiIi4iJC2xlMmmik99CfiK/GE1s+4kKKP3XL/cpd0UMhJb5oKymFwq2oKyAiIiIiIiK5F9rOoG0bx6r1Z89Bef8aWCvPxVw2EOvJCLxWDiPx3tng5lnUVZUCpJ55ERERERERF2O1GjRuZNCpo+OnUek2EnrNwXT3we34Fry+HQW2lKKuphQgBfMiIiIiIiLFgL3K7STeOxvT6onbkR/xXPMC2G1FXS0pIArmRUREREREiglbteYkdp+OaXHH/dBq4j4fzw/rbETsNrHZzKKunuQjBfMiIiIiIiLFiK16KBG3vI3NtFDp9HISVkzmmVF27utrEhaugL64UDAvIiIiIiJSjISFmzw2tRMTdk8CoF/1z3iq1gxiYmDcBAX0xYWCeRERERERkWLCZjOZNsMRrH/3Vw9e3/cyAE/UmsPDNeYDMH2mhtwXBwrmRUREREREiom9+yAm5p/XS6IeYvqBkQA8W/cd+ty8hOhoRz5xbdpnXkREREREpJg4ey5z2vzDj+PrHsdjNecxrsFELqeW4uy5ewq/cpKv1DMvIiIiIiJSTJT3zzp9xsGRfHG0LxbD5L+NXqKmfUPhVkzynYJ5ERERERGRYqJhAwgIyOqIwRu/jOObP3vgZrFR98CzWI9vKezqST5SMC8iIiIiIlJMWK0GI4cbWR4zsfDKntc4Xa4jhi0Zr5XDsJzcU7gVlHyjYF5ERERERKQYCW1nMGmikamHPjAQJr7qju/DU0i9uTVGSjzey4dgiTlUNBWVG6IF8ERERERERIqZ0HYGbds4Vq0/e84xl75hA0fPPXiQ2GMG3ssGYz25G69lj5Hw4CJMv+CirrZcB/XMi4iIiIiIFENWq0HjRgadOjp+OgL5/+fuQ8K9H2ALqIMl/izeyx7DuHS66Cor103BvIiIiIiISEnkVYbE3h9iL3czlosn8V42GBLOF3WtJJcUzIuIiIiIiJRANpvJrt/Ls7byPJI8K2E5F4n3V49DUlxRV01yQXPmRURERERESpiwcJNpM0xiYgCqEOw7lwV3PEy5M7/ivfIpEnp9CO5eRV1NyYF65kVEREREREqQsHCTcRPSAnmHqLjqDP15DnEppbD+tQOv754FW0rRVVKuScG8iIiIiIhICWGzOXrks3Iwti4jtr9Pkt0TtyM/4rl2HJj2Qq6h5JaCeRERERERkRJi7z4y9MhfbdfZZjy3Ywp2ww33g9/g8ePrYGYd/EvRUjAvIiIiIiJSQpw9d+08m860Z1e11zEx8NjzGR4/z8g2r81mErHb5If1jp82mwL/wuKUC+AlJSUxZcoU9u/fz7Fjx4iNjaVMmTJUq1aN+++/nx49euDu7g5ASkoKGzZsYMOGDezbt4/Tpx17I95666306tWLBx98EKvVmutrd+jQgRMnTmR5rHnz5ixcuPDGb1BERERERKQIlPfPXb6EGveQWP0S3htfw2PbbP48W5YK3R7OsFd9xkX0HAICYORwCG1nZFGq5CenDOYvX77M4sWLadCgAe3bt8ff35/Y2Fg2bdrE2LFjWbVqFXPnzsVisXD8+HGeeeYZfHx8aNWqFR06dODSpUv8+OOPvPrqq4SHhzN79mwMI/f/mEqXLs0jjzySKT0oKCg/b1NERERERKRQNWzgCLhzGmofGAixsSY93u9Lz3KxDKvzHjUOv8Gbw8pQ76F7CW1npC+id7WYGBg3wWTSRAX0Bc0pg/ly5cqxc+dOPDw8MqSnpqYycOBANm/eTHh4OO3bt8fX15cJEybQq1cvfHx80vPGx8czYMAAfvzxR9asWUOXLl1yff0yZcowfPjwfLsfERERERERZ2C1GowcTpaBeJq7OsD4Vxx/nxfzBGU9LjCgxqeMrjGeZ98vg91+J++9n/N1ps80aduGDD35kr+ccs68xWLJFMgDuLm50alTJwCOHTsGQMWKFfn3v/+dIZAH8PHxYeDAgQDs2LGjgGssIiIiIiLiGkLbGUyaaBAQkDE9MBBeewV+WH9lqsGUX5/nmz974Gax8VbT0fwwf2eOPfsA0dGOxfak4Dhlz3x27HY7mzZtAiAkJOSa+d3cHLd3PXPmAZKTk/nqq6+Ijo7G19eX+vXr07Bhw+uvsIiIiIiIiBMKbWfQto0j4D57zjGXvmGDtNXuM/bam1h4dc9ESrtfpH2ljUy67WkGn1/AoYt1crxGbhbbk7xz6mA+OTmZOXPmYJomFy5cYMuWLRw5coTevXvTqlWra56/bNkyANq2bXtd142JieGll17KkFa/fn2mTJnCTTfdlOO5ZcuWxWJxygEPmfj5+RV1FSQHah/npvZxfmoj56b2cW5qH+em9nF+rtRGHTtkfJ2YlATEZcqXarrzws53mdXqCZqU38WsVkMYuHkhxy/fnG3ZwTeXxs/PPZ9rfONcqX1yYpim824aePnyZRo3bpz+2jAMBg4cyOjRo9N73bPzxRdfMGHCBFq2bMknn3yS62vOnDmTJk2aEBISgo+PD1FRUcyfP5+VK1cSFBTE119/ja+vb7bnnz9/PtfXKkp+fn4uU9eSSO3j3NQ+zk9t5NzUPs5N7ePc1D7Oz9XbKGK3yTOjsg8Rfd0uMa/No9Qu+xsnLgcx8KeFRCdWzJQvMBCWLjacbs68q7RPbr5wcOou5FKlSnHo0CEOHjxIWFgYEyZM4Msvv2TAgAHExWX+tijNjz/+yGuvvUZQUBBvv/32dV1z2LBhtGrVivLly+Pt7U2dOnV466236NmzJydOnGDp0qU3elsiIiIiIiJOKW21++zEpZZmwuE5xHneRFCpE8xq+QRl3C9kyjdimPMF8sWNUwfzaSwWC5UqVaJfv35MnDiRiIgIZs+enWXesLAwnnnmGcqXL88nn3xCYGBgvtThwQcfBCAiIiJfyhMREREREXE2jtXucw7CHxkSgNH/YxLdA7m1zGFmtHgKL2s84OiRnzTR0LZ0hcAlgvkrpc1/3759e6ZjGzduZNiwYfj5+fHpp59SrVq1fLtu2jCH+Pj4fCtTRERERETE2eS02n1aoG6WDcL+0FzsnmVo6L+XlX1HMePdFJYuViBfWJx6AbysREdHA2SaM79x40aGDx9O2bJl+fTTT7n55uwXYsiLffsc+yoEBQXla7kiIiIiIiLOJrvV7q8cOm+vEEJirw/w/vIxKl7ajP+Zl0myvAkomC8MTtkzf/jwYRISEjKlJyQkMHnyZABCQ0PT08PCwjIE8sHBwTmWn5KSQmRkJMePH8+QHhkZmeV1IyMjeeeddwDo3r379d6OiIiIiIiIy7FaDRo3MujU0fEzqznw9iqNSOw+HdPihvtv3+Kx8Q1w3jXWixWn7JlfvXo18+fPp0mTJgQFBeHr68uZM2cIDw/nwoULNG3alEcffRRwBNrDhg0jOTmZ5s2b891332UqLygoiN69e6e/PnPmDF27diUoKIgNGzakp69atYr58+fTrFkzqlSpgre3N1FRUYSHh5OSksKQIUNo1qxZgd+/iIiIiIiIq7DdcgdJ/3odr9Vj8Ni9ELNUBVKaP1HU1Sr2nDKYb9++PdHR0ezevZs9e/YQHx+Pr68vtWrVolu3bvTp0yd9mP3ff/9NcnIyQJaBPEDz5s0zBPPZadGiBZGRkRw8eJCdO3eSmJiIn58f7dq1o1+/fte9X72IiIiIiEhJkFqnO0kJ5/Dc+Aaem6dievuRWv/+oq5WsebU+8y7IlfYsxBcZ3/Fkkrt49zUPs5PbeTc1D7OTe3j3NQ+zq+kt5HH5ql4bP8Q07CQ2H06tlvvKuoqZeAq7ePy+8yLiIiIiIiI60huM5KUen0wTDte342GY9uJ2G3yw3qTiN0mNpv6kvOLUw6zFxERERERERdkGCTd9QpGwgXcItdjfPE0Mzd/wu8XawMQEAAjh6Pt6/KBeuZFREREREQk/1jc+KHs2+z8uyml3OKY1fIJgnz+BCAmBsZNMAkLVw/9jVIwLyIiIiIiIvnGZjOZ8r4no7bP4FBsCBW8zjK71eP4e/6dnmf6TA25v1EK5kVERERERCTf7N3n6IG/lFqGp7d+yF+Xq3JTqT+Z2WIoPtbLAERHO/JJ3imYFxERERERkXxz9tw/f/87KYChWz/kXJI/t5U7wJTmI3AzkjPlk+unYF5ERERERETyTXn/jK//vHwzw7bOJj7Vm5YBW3it0TgM7JnyyfVRMC8iIiIiIiL5pmEDx6r1VzoQW4/RO6aTYnejS9VVjG/2Fg3ra878jVAwLyIiIiIiIvnGajUYOTzz1nNbYtowYfckAHpXXojX7o8Lu2rFioJ5ERERERERyVeh7QwmTTQy9dDvSrmHA1VfAMBz07u4/bqi8CtXTLgVdQVERERERESk+AltZ9C2jWPV+rPnHHPpGzYAq/VRksNj8Nj5MZ5rX8b09sNWPbSoq+tyFMyLiIiIiIhIgbBaDRo3ypyefMdojMt/437wa7y+HcWeBh8TZWt4RcCfeZi+ZKRh9iIiIiIiIlK4DAtJnf9LdJk7MFITCN4ylE+mRvLMKJP7+pqEhWtxvGtRMC8iIiIiIiKFLuwnN3osnsIv5+vj53mBWS2HEOAZTUwMjJuggP5aFMyLiIiIiIhIobLZTKbNMEm0+TB822yOxd1MFZ+TzGz5JL5ulwCYPtPEZnP8idht8sN6x0+bTUE+aM68iIiIiIiIFLK9+yAmxvH3C8l+DN36IZ+27Uetsod4t9kIhm37gOhoDz5dZPL1t//kBcce9iOHOxbYK8nUMy8iIiIiIiKF6uy5jK9Pxlfl6a1zuJzqQ4uAbUy8fRwGdj6anzGQBzQM//8pmBcREREREZFCVd4/c9qhi3UYvWM6KXY3ulRdxcjb3s2xjLRh+CWVgnkREREREREpVA0bOIbLX21rTGv+s+e/ADxy6wL6V/8k2zKiox3D9UsqBfMiIiIiIiJSqKxWg5HDs57zvuqv7kw78CwAz9V7i39VWZVtOVcP1y9JFMyLiIiIiIhIoQttZzBpopGphz4wEKxtB/G/I/8G4L+NX6JZha1ZlpHVcP2SQqvZi4iIiIiISJEIbWfQto1juPzZc47gvGEDAIMHvnuBAK8YOlVZy9RmzzDop0/5/WLt9HMDA9PylkzqmRcREREREZEiY7UaNG5k0Kmj46fV6vjzzHA3xkW8wc6/m+LrfpmZLZ+ksvfJ9PNGDHPkK6kUzIuIiIiIiIjTCW1n8J9XvPjvkRkcvngrgV4xzGw5hOqVY5k00dA+80VdAREREREREZGshLYz+OSzspz91xwS3CtSo/QRlvQcTmjr5KKuWpFTMC8iIiIiIiJOy2o1qNuqCmbfDzE9fHE7uQvPNS+CaS/qqhUpBfMiIiIiIiLi9OwBIST2mIFpccf99zV4hL1V1FUqUgrmRURERERExCXYbmpJ0r9eB8Aj4hPcdy0o2goVIQXzIiIiIiIi4jJS69xDUttnAfAIewvr72uKuEZFQ8G8iIiIiIiIuJSUZoNJbtgPAxOv1S9g+WtnUVep0CmYFxEREREREddiGCTfOZbUGh0xbMl4r3wa4+zhoq5VoVIwLyIiIiIiIq7HYiWx6zvYKt+OkXQR76+ewIiLLupaFRoF8yIiIiIiIuKa3L1IuHcW9nI3Y7l0Cq/lT0Ly5aKuVaFQMC8iIiIiIiKuy9uPhN5zsfuUxxpzEK9vRoItpahrVeAUzIuIiIiIiIhLM8tVI/He2ZhuXrgd24zn+olgmkVdrQKlYF5ERERERERcms1msvNUPbZWfQcTC+77v8R9+5yirlaBcivqCoiIiIiIiIjkVVi4ybQZJjExAHfyYPBLvNRgEp4/TccsXYXU23oUdRULhHrmRURERERExCWFhZuMm5AWyDt8EdWPBYcHAuDx/Tisx7cWUe0KloJ5ERERERERcTk2m6NHPivTDzzL9yfuxmKm4vX1M1j+/r2Qa1fwFMyLiIiIiIiIy9m7jww98lcysTB+9+tEnG2MkXwJr+VPFrs96BXMi4iIiIiIiMs5ey7n48l2T0Zun8Elz1vS96A3k+IKp3KFQMG8iIiIiIiIuJzy/tfOczGlHAcbfYDd27EH/V+znyFit4nN5vrb1imYFxEREREREZfTsAEEBOScJzAQziRXZfi297mc6kNC1EGeGWVyX1+TsHDXDugVzIuIiIiIiIjLsVoNRg43csxzVwcY/wr8FFWfbuvW0n/T54Bjrv24Ca4d0CuYFxEREREREZcU2s5g0kQjUw99YCC89gr8sP6ftAvJflxO9c2Qb/pM1x1y71bUFRARERERERHJq9B2Bm3bOFa3P3vOMZe+YYO01e5zDtSjox35GjcqpMrmI6cM5pOSkpgyZQr79+/n2LFjxMbGUqZMGapVq8b9999Pjx49cHd3z3BOXFwcM2bMYO3atcTExBAYGMi//vUvhg0bRqlSpa7r+ps2bWLOnDn8+uuvGIZB3bp1eeqpp2jVqlV+3qaIiIiIiIjkA6vVyBSQnz2Xux73a62K76yccpj95cuXWbx4MYZh0L59ewYOHMhdd91FdHQ0Y8eO5cknn8Rut6fnj4+Pp3///ixYsIDq1avz6KOPcsstt/Dxxx/zyCOPkJSUlOtrr1y5ksGDBxMZGUnv3r3p1asXhw8fZuDAgaxZs6YgbldERERERETyWW5Wu7+efM7GKXvmy5Urx86dO/Hw8MiQnpqaysCBA9m8eTPh4eG0b98egHnz5nHw4EEef/xxnnvuufT877zzDnPnzmXBggUMGTLkmteNjY3lv//9L35+fixfvpxKlSoB8Pjjj3Pvvffyyiuv0LZtW3x9fa9RkoiIiIiIiBSltNXuY2KyzxMY6MjnipyyZ95isWQK5AHc3Nzo1KkTAMeOHQPANE2WLl2Kj48PTz31VIb8Tz31FD4+PixdujRX112zZg0XL16kf//+6YE8QKVKlejfvz/nz59n3bp1eb0tERERERERKSS5We1+xDADqzXnPM7KKYP57NjtdjZt2gRASEgIAFFRUURHR9O4cWN8fHwy5Pfx8aFx48b8+eefnDp16prlb9++HYC2bdtmOpaWlpZHREREREREnFtOq91PmmgQ2s41A3lw0mH2aZKTk5kzZw6maXLhwgW2bNnCkSNH6N27d/pidGk99MHBwVmWERwczObNm4mKiqJy5co5Xi8qKgqAm2++OdOxtLS062WnbNmyWCyu8R2Jn59fUVdBcqD2cW5qH+enNnJuah/npvZxbmof56c2ci739oTu95jsikgl5m87ARUsNGns5rI98mmcOphPSUlh5syZ6a8Nw2DQoEGMHj06Pe3SpUsA2c5jT0uPi4u75vXS8pQuXTrbctKul53Y2NhrXscZ+Pn5cf78+aKuhmRD7ePc1D7OT23k3NQ+zk3t49zUPs5PbeS8at4KzZs52ufixaKuTc5y84WQUwfzpUqV4tChQ9jtdqKjo9mwYQNTp05lz549zJ07VwvRiYiIiIiISInkEuPBLRYLlSpVol+/fkycOJGIiAhmz54N/NOLnl3Pe1p6bgL/nHrfc+q1FxERERERESlMLhHMX+nqhejS5rKnzXe/Wlp6dnPqr5SWJ6t58WlpWc2nFxERERERESlMLhfMR0dHA45t6sARgAcGBhIREUF8fHyGvPHx8URERFC1atVrLn4H0KxZMwA2b96c6VhaWvPmzW+o/iIiIiIiIiI3yimD+cOHD5OQkJApPSEhgcmTJwMQGhoKOBbFu//++4mPj2fWrFkZ8s+aNYv4+HgeeOCBTOVERkZy8uTJDOldunShdOnSLFq0iNOnT6ennz59mkWLFuHn58ddd92VL/coIiIiIiIikldOuQDe6tWrmT9/Pk2aNCEoKAhfX1/OnDlDeHg4Fy5coGnTpjz66KPp+QcPHsz69euZO3cuBw8e5LbbbuPAgQNs3ryZ+vXr88gjj2Qof9++fTz88MM0b96chQsXpqeXLVuW8ePHM2bMGHr16kXXrl0BWLVqFRcuXGDq1KladE9ERERERESKnFMG8+3btyc6Oprdu3ezZ88e4uPj8fX1pVatWnTr1o0+ffqkD7MH8PHxYdGiRcyYMYO1a9eybds2AgICGDRoEE8//TReXl65vnbPnj3x8/Njzpw5fPXVVwDUq1ePoUOH0rp163y/VxEREREREZHrZZimaRZ1JYoTV9lTUvtfOje1j3NT+zg/tZFzU/s4N7WPc1P7OD+1kXNzlfbJzT7zTjlnXkRERERERESyp2BeRERERERExMUomBcRERERERFxMQrmRURERERERFyMgnkRERERERERF6NgXkRERERERMTFKJgXERERERERcTEK5kVERERERERcjIJ5ERERERERERejYF5ERERERETExRimaZpFXQkRERERERERyT31zIuIiIiIiIi4GAXzIiIiIiIiIi5GwbyIiIiIiIiIi1EwLyIiIiIiIuJiFMyLiIiIiIiIuBi3oq6A5N6+ffuYMWMGu3fvJjU1lZCQEB599FG6du2a6zKSk5P58MMP+frrrzl16hRly5blzjvvZOTIkZQvXz7Lc77++ms+/fRTDh8+jLu7O40bN+aZZ56hbt26+XVrxcKNtI9pmoSHh7NhwwYiIiI4efIkqamp3HzzzXTt2pWBAwfi6emZ6bxatWplW2avXr144403buieipsbfYa++uorXnrppWyPf/rpp7Ro0SLfr1tS3Oj71KFDB06cOJFjns8++4ymTZumv9YzlDsrV65k165d7N+/n99//52UlBQmT55M7969r6scu93OZ599xpIlSzh27Bg+Pj60bt2aUaNGUa1atSzP2bRpE3PmzOHXX3/FMAzq1q3LU089RatWrfLj1oqF/GifnTt3sm7dOrZv386JEyeIj48nKCiIjh07MmTIEMqUKZPpnJyeuebNm7Nw4cI831Nxkx9ttG3bNh5++OFsj2dX3tGjR5k2bRpbt24lISGB4OBg+vbty0MPPYRhGHm6n+ImP9pnwIABbN++Pcc8b775Jvfee2/6az1DuXPmzBlWr15NeHg4R44c4e+//6Zs2bI0btyYwYMH07Bhw1yXVdw+hxTMu4itW7cyePBgPDw86NatG6VKlWLt2rWMGjWK06dPM2jQoGuWYbfbGTp0KJs3b+b222+nc+fOHDt2jKVLl7JlyxaWLFmCv79/hnNmz57NtGnTCAoKom/fvly+fJnvvvuOvn37smDBApo0aVJQt+xSbrR9kpOTeeKJJ/Dw8KB58+a0bduW5ORkNm/ezNSpU1m3bh0LFy7E29s707lBQUH06tUrU3qdOnXy7f6Kg/x4htJ07Ngxy/c3KCioQK9bnOXH+/Twww9z6dKlTOnnz5/ns88+o2zZstSvXz/TcT1D1zZ9+nROnDiBn58fgYGB1/zSJDsTJkxg6dKl1KxZkwEDBhAdHc3q1av56aef+OKLLwgODs6Qf+XKlYwZMwZ/f//0/1SvWrWKgQMHMm3aNO6+++4bvbViIT/aZ8SIEZw/f54mTZrQs2dPDMNg+/btzJs3j++//57PP/+cChUqZDqvdOnSPPLII5nSs/p9WJLl1zMEjiCvefPmmdKz+p11+PBh+vbtS2JiIl26dCEwMJCwsDBeffVVIiMjGT9+fJ7rUZzkR/v06tUry3ZJTU1lzpw5WCyWLIM/PUPXtnDhQubOnctNN91EmzZt8Pf359ixY6xbt45169bx7rvv5vqL/2L3OWSK00tJSTHvuusus169euaBAwfS0y9evGh27tzZrFu3rvnXX39ds5wvv/zSDAkJMZ999lnTbrenp//vf/8zQ0JCzPHjx2fIf/ToUfO2224zO3fubF68eDE9/cCBA2a9evXMLl26mDabLR/u0LXlR/skJyebs2bNMi9cuJApfciQIWZISIg5d+7cTOeFhISY/fv3z58bKcby6xlatmyZGRISYi5btqxQr1vcFfT79NFHH5khISHma6+9lumYnqHc+emnn9LbYM6cOdf1HKTZsmWLGRISYv773/82k5KS0tM3btxohoSEmIMGDcqQ/8KFC2bTpk3NFi1amKdOnUpPP3XqlNmiRQuzRYsW5qVLl27groqP/GifOXPmmKdPn86QZrfbzf/85z9mSEiI+corr2Q658477zTvvPPOvFe8BMmPNtq6dasZEhJivvfee7k+59///rcZEhJibty4MT0tKSnJ7NevnxkSEmJGRERcVx2Kq/xon+ysWbPGDAkJMYcMGZLpmJ6h3Pn+++/Nbdu2ZUrfsWOHWbduXbNZs2YZPleyUxw/hzRn3gVs3bqV48ePc88992T41rV06dI8+eSTpKSksHz58muWs3TpUgCeffbZDMOq+vbtS7Vq1fjmm29ITExMT//qq69ITU1l6NChlC5dOj29Tp063HPPPURGRrJr1678uEWXlh/t4+7uztChQylbtmym9CFDhgCwY8eO/K98CZFfz5CrXNfVFPT79OWXXwJw33333XBdS6rWrVvfcC9R2mfQiBEj8PDwSE8PDQ2lefPmbN68mZMnT6anr1mzhosXL9K/f38qVaqUnl6pUiX69+/P+fPnWbdu3Q3VqbjIj/Z54oknqFixYoY0wzB46qmnAH0G3aj8aKPrdfToUXbs2EGLFi0IDQ1NT/fw8GDEiBEALFmypFDr5KwKsn30GXTjOnfunOWoh6ZNm9KiRQtiY2M5dOjQNcspjp9DCuZdQNr8m7Zt22Y6lpZ2rQ/ZpKQk9u7dyy233JLpl5VhGLRu3Zr4+Hj279+f6bpt2rTJ9rrXmhtUEuRH++TEzc0xG8ZqtWZ5/OLFi3zxxRd88MEHLF68OFe/zEqa/G6jAwcO8PHHH/Phhx+yatUqzp8/XyjXLa4K8n2KiIggMjKSevXqUbt27Szz6BkqHNu2bcPHx4fGjRtnOnbHHXcAGT9TcvPvQp9BBe9an0HJycl89dVXfPDBByxatIi9e/cWZvVKpKioKBYsWMCcOXNYsWIFZ86cyTJfTs9QkyZN8PHx0WdQATt9+jSbN28mICCA9u3bZ5lHz9CNSfsdlfYzJ8Xxc0hz5l1AVFQUADfffHOmYwEBAfj4+HDs2LEcyzh+/Dh2uz3TPJA0aelRUVHpi0NFRUXh4+NDQEBApvxpdbnWdUuC/GifnCxbtgzI+ksVgN9++40JEyZkSLvjjjt48803s13UsKTJ7za6ekEaLy8vnn76aZ544okCvW5xVZDvU1qPyP33359tHj1DBS8+Pp6YmBhCQkKyDAqz+kzJ6d+FPoMKz7U+g2JiYjItDFq/fn2mTJnCTTfdVOD1K4m+/fZbvv322/TXbm5u9O/fnzFjxmR4vnJ6hqxWK1WrVuXw4cOkpqbmKhCS67ds2TLsdju9evXK9j3WM5R3J0+e5OeffyYgIICQkJAc8xbXzyE9uS4gLi4OIMNQ9yv5+vpmuejTldKO+/r6ZlvGlddK+/vVC+Jdnf9a1y0J8qN9shMWFsYXX3xBjRo1sgxGBg0aROfOnQkODsbd3Z0//viDWbNmER4ezpAhQ/jiiy+y7U0pSfKrjapWrcr48eNp27YtlSpVIjY2li1btjBlyhTeffddvL29GTBgQL5ft7grqPfp8uXLrF69Gm9vb+65554s8+gZKhy5/Qy6sp1z+nehz6DCcfDgQd5//33Kly/P4MGDMx3v3bs3TZo0ISQkBB8fH6Kiopg/fz4rV67k0Ucf5euvv862zeX6+fv7M3r0aO68806CgoJISEhg9+7dvPvuuyxYsADDMHjxxRfT81/rd2upUqWw2+1cvnw50zQ/uXGmafLVV18B2Q+x1zOUdykpKYwZM4bk5GSee+65a35WF9fPIQ2zF3FS+/btY9SoUZQuXZrp06dnmNuT5oUXXqBRo0b4+fnh6+tLo0aNmDNnDs2bN+eXX35h/fr1RVDz4qt58+b079+f4OBgvLy8qFixIvfeey8fffQRnp6ezJw5k9TU1KKupvy/VatWER8fz913353th7eeIZGs/fnnnzzxxBPYbDamTJmS5Zf7w4YNo1WrVpQvXx5vb2/q1KnDW2+9Rc+ePTlx4kT6/FTJHzVr1uSJJ56gZs2a+Pj4UL58ee666y4+/fRT/P39WbhwIWfPni3qasr/27p1K3/99RfNmzfPsmcX9Azlld1u58UXX2THjh088MADGbb7K2kUzLuAa33zExcXl+23rmnSjl/Z8351GVdeK+3vOV3zynJLsvxon6v98ssvPPbYY1gsFubNm0fNmjVzfa7FYknvxY+IiLiu6xZXBdFGV6pZsyZNmjThwoULREZGFtp1i4uCep/Shgdf76JDeobyX24/g65s55z+XegzqGD9+eefPPzww5w/f5733nuPli1bXtf5Dz74IKDnp7AEBATQsWNHUlNTM8y3vtbv1suXL2MYBqVKlSqUepY0N7LwnZ6h7NntdsaOHcu3335Ljx49ePXVV3N1XnH9HFIw7wLS5rNnNScjJiaG+Pj4bL/xS1OtWjUsFkv63I+rpaVfOac+ODg4fX7J1dLqcq3rlgT50T5X+uWXXxg0aBB2u52PPvqIBg0aXHed/Pz8AMf8IMn/NspK2nuekJBQqNctDgrifTp8+DC7d++mevXq6euAXA89Q/krbf2Vv/76C5vNlul4Vp8pOf270GdQwUkL5GNiYpg2bRp33nnndZeh56fwXe9nkM1m46+//qJq1aqaL18AYmNj+eGHHyhTpkye9iHXM5Q1u93OSy+9xPLly7nnnnt44403sFhyF84W188hBfMuoFmzZgBs3rw507G0tLQ82fHy8qJBgwYcPXqUEydOZDhmmiY///wzPj4+1KtXL9N1f/rpp2yvm9U2ESVNfrRPmrRA3mazMW/ePBo2bJinOqV9M1+1atU8nV/c5GcbZcVms6XvBFGlSpVCu25xURDv041uBaRnKP81b96c+Pj4LHuaNm3aBGRs59z8u9BnUP66MpCfOnUqd911V57K2bdvH0Chb8VWkqX9zrryPc/pGdq1axfx8fH6DCogX3/9NUlJSXTv3h1PT8/rPl/PUGZpgfyKFSvo2rUrb7311nWvaVMcP4cUzLuAVq1aUa1aNb799lsOHjyYnn7p0iU++OAD3N3dM8wViY6OJjIyMtOQkAceeACAKVOmYJpmevrnn3/On3/+Sffu3fHy8kpP7927N25ubsyePTtDWQcPHuTbb7+lRo0aNGnSJL9v1+XkV/vs37+fQYMGkZqayty5c2nUqFGO1z106BApKSmZ0iMiIpg3bx7u7u55+ja4OMrPNrqazWbjnXfe4dixY7Ro0YLAwMA8X7ekyq/2SZOSksLKlSuv+f7qGSoY586dIzIyknPnzmVIT/sMmj59OsnJyenpYWFhbN++nbZt22b4j2uXLl0oXbo0ixYt4vTp0+npp0+fZtGiRfj5+eU52CzJsmuftEA+OjqaKVOm0KlTpxzLiYyMzNALfGX6O++8A0D37t3zr+IlSHZtlNVnEMAnn3zCtm3bCA4Opn79+unp1atXp1mzZmzbto2wsLD09OTkZKZPnw7kvNOHZC279rlSbr5Q1jOUe2lD61esWMHdd9/N22+/nWMgX5I+hwzzyqhOnNbWrVsZPHgwHh4edOvWjVKlSrF27VpOnDjBCy+8wKBBg9LzvvjiiyxfvpzJkyfTu3fv9HS73c7jjz/O5s2buf3222nWrBnHjx9n7dq1BAUFsXTp0kwL3MyePZtp06YRFBRE586duXz5Mt999x0pKSksWLBAwfz/u9H2uXDhAp07dyY2NpY77rgjyx750qVL8+ijj2YoZ+PGjTRp0oTKlSvj5ubGH3/8wU8//YRhGEyYMIGHHnqowO/dVeTHM1SrVq30PxUrViQ2Npbt27cTFRVFpUqVWLRoEdWqVcvzdUuy/GifNN9//z3PPPMMnTt3ZsaMGdleU89Q7i1dupRdu3YB8Pvvv/Prr7/SuHHj9OGFTZo0SQ8KZsyYwcyZMxk2bBjDhw/PUM7LL7/M0qVLqVmzJqGhocTExLBq1SpKlSrF559/zi233JIh/8qVKxkzZgz+/v507doVcCxseP78eaZOnUqXLl0K+tZdQn60T4cOHThx4gS33357lnsqAxnyz5gxg/nz59OsWTOqVKmCt7c3UVFRhIeHk5KSwpAhQ3j22WcL6pZdTn61kZubG/Xq1aNixYokJCSwd+9eDhw4QJkyZbKcmvfHH3/w0EMPkZiYSNeuXQkICCAsLIw//viD/v37M378+EJ6B5xbfv2OA8eXLn369KFu3brpq9lnRc9Q7qW95z4+Pjz88MNZTg256667qFOnTob8JeFzSJNkXETLli353//+x3vvvceqVatITU0lJCSE5557Lv0f1rVYLBZmz57Nhx9+yMqVK1mwYAHlypXjvvvuY+TIkVmuVDt06FCCgoL45JNPWLx4Me7u7jRt2pQRI0ZQt27d/L5Nl3Wj7RMXF0dsbCzgGOaTNtTnSkFBQRmC+Y4dO3Lx4kV+++03fv75Z1JSUqhQoQLdunXjkUceydNc++IsP56hQYMGsWfPHn7++WdiY2Nxd3fnpptuYujQoQwcODDLrX3y47olQX6+T7kdYq9nKPd27drF8uXLM6RFRERkGKqYmx6+iRMnEhISwpIlS/j000/x8fGhU6dOjBo1Ksv9lHv27Imfnx9z5sxJ/09xvXr1GDp0KK1bt77Buyo+8qN90qbg7dmzhz179mSZ58r/FLdo0YLIyEgOHjzIzp07SUxMxM/Pj3bt2tGvX79svxAoqfKjjfr27cvmzZvZsWMHFy5cwGKxUKVKFR555BEGDRpEpUqVMp1Ts2ZNlixZwrRp0wgLCyM+Pp7g4GAmTJhAv3798ufmioH8+h0Huf8M0jOUe2m/n+Lj4/nggw+yzBMUFJQezOekuH0OqWdeRERERERExMVozryIiIiIiIiIi1EwLyIiIiIiIuJiFMyLiIiIiIiIuBgF8yIiIiIiIiIuRsG8iIiIiIiIiItRMC8iIiIiIiLiYhTMi4iIiIiIiLgYBfMiIiIiIiIiLkbBvIiIiIiIiIiLcSvqCoiIiMiNq1Wr1nXlDwoKYsOGDQwYMIDt27ezfv16qlatWkC1KzgvvfQSq1evZv369ZQvX/66zz9w4AC9evXiueee4/HHHy+AGoqIiBQMBfMiIiLFQK9evTKl7dq1i+PHj1O7dm3q1KmT4Zifn19hVa3AHDp0iBUrVjBw4MA8BfIAt912Gx06dODDDz/k/vvvp1y5cvlbSRERkQJimKZpFnUlREREJP+9+OKLLF++nGHDhjF8+PAs85w8eZKEhARuuukm3N3dC7mGN2bo0KFs2rSJsLCwPAfzAHv27OHBBx9k8ODBPP/88/lYQxERkYKjOfMiIiIlWJUqVahRo4bLBfKnTp1i48aNtG3b9oYCeYDbb7+dm2++mWXLlpGcnJxPNRQRESlYCuZFRERKsAEDBlCrVi3++uuvDOm1atWiQ4cOpKam8v7779OpUycaNGhAly5dWLZsWXq+LVu2MGDAABo3bkyzZs0YM2YM58+fz/Jaqamp/O9//+PBBx+kcePGNGjQgJ49e7JgwQJSU1Ovq97Lli3DbrfTrVu3LI///vvvPPfcc3Ts2JH69evTsmVLevbsyaRJk4iOjs6Uv1u3bpw/f55169ZdVz1ERESKioJ5ERERydbIkSOZP38+ISEhNGvWjL/++ouxY8eybNky1qxZw+DBg7HZbLRt2xZvb29WrlzJ008/zdWz+BITExk0aBCvvvoqUVFR3H777bRu3ZqYmBgmT57M8OHDsdvtua7Xjz/+CEDz5s0zHdu/fz/33Xcf33zzDaVKlaJjx47cfvvtpKam8umnn3L06NFM56SVs3Hjxut4d0RERIqOFsATERGRLJ04cYJSpUqxdu1a/P39Adi6dSuPPPIIU6dOJSUlhffff5/27dsDEBcXR9++fdm1axfbtm2jZcuW6WW9+eabbNu2ja5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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "g = -9.81 # acceleration due to gravity (m/s^2)\n", + "t = np.linspace(0, 2, 100) # time in seconds\n", + "inital_height = 50\n", + "x_falling = 0.5 * g * t**2 + inital_height\n", + "noise = np.random.normal(0, 0.3, x_falling.shape)\n", + "x_obs_falling = x_falling + noise\n", + "df_falling = pd.DataFrame({'t': t, 'x': x_obs_falling})\n", + "\n", + "plt.figure(figsize=(10, 6))\n", + "plt.scatter(t, x_obs_falling, label='Observed Displacement', color=\"C0\")\n", + "plt.plot(t, x_falling, label='True Function', color=\"C1\")\n", + "plt.xlabel('Time (s)')\n", + "plt.ylabel('Displacement (m)')\n", + "plt.legend()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Casting the equation $x_f = \\frac{1}{2} g t^2 + x_0$ into a regression context, we let time be the independent variable, and displacement the dependent. This allows our coefficients to be proportional to $g$ and $x_0$. The intercept, $\\beta_0$ corresponds exactly to $x_0$. Letting $\\beta_1 = \\frac{1}{2} g$ then gives $g = 2\\beta_1$ when $x_1 = t^2$, meaning we're doing _polynomial regression_. We can put this into Bambi via the following, optionally including the `+ 1` to emphasize that we choose to include the coefficient. " + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Auto-assigning NUTS sampler...\n", + "Initializing NUTS using jitter+adapt_diag...\n", + "Multiprocess sampling (4 chains in 4 jobs)\n", + "NUTS: [x_sigma, Intercept, I(t ** 2)]\n" + ] + }, + { + "data": { + "text/html": [ + "\n", + "\n" + ], + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/html": [ + "\n", + "
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meansdhdi_3%hdi_97%mcse_meanmcse_sdess_bulkess_tailr_hat
Intercept50.0200.04549.93150.1010.0010.06578.03266.01.0
I(t ** 2)-4.9120.025-4.958-4.8630.0000.06465.02938.01.0
x_sigma0.3050.0220.2640.3480.0000.05970.03054.01.0
\n", + "
" + ], + "text/plain": [ + " mean sd hdi_3% hdi_97% mcse_mean mcse_sd ess_bulk \\\n", + "Intercept 50.020 0.045 49.931 50.101 0.001 0.0 6578.0 \n", + "I(t ** 2) -4.912 0.025 -4.958 -4.863 0.000 0.0 6465.0 \n", + "x_sigma 0.305 0.022 0.264 0.348 0.000 0.0 5970.0 \n", + "\n", + " ess_tail r_hat \n", + "Intercept 3266.0 1.0 \n", + "I(t ** 2) 2938.0 1.0 \n", + "x_sigma 3054.0 1.0 " + ] + }, + "execution_count": 5, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "az.summary(results_falling)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We see that both $g/2 = -4.9$ (so $g=-9.81$) and the original height of $x_0 = 50$ $m$ are recovered, along with the injected noise.\n", + "\n", + "We can then use the model to answer some questions, for example would the ball land? This would correspond to $x_f = 0$.\n", + "\n", + "$$0 = \\frac{1}{2} g t^2 - x_0$$\n", + "\n", + "$$t = \\sqrt{2x_0 / g}$$" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The ball will land at 3.19 seconds\n" + ] + } + ], + "source": [ + "calculated_x0 = results_falling.posterior[\"Intercept\"].values.mean()\n", + "calculated_g = -2 * results_falling.posterior[\"I(t ** 2)\"].values.mean()\n", + "calculated_land = np.sqrt(2 * calculated_x0 / calculated_g)\n", + "print(f\"The ball will land at {round(calculated_land, 2)} seconds\")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Or if we want to account for our measurement error and use the full posterior," + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The ball landing will be measured between 3.18 and 3.21 seconds\n" + ] + } + ], + "source": [ + "calculated_x0_posterior = results_falling.posterior[\"Intercept\"].values\n", + "calculated_g_posterior = -2 * results_falling.posterior[\"I(t ** 2)\"].values\n", + "calculated_land_posterior = np.sqrt(2 * calculated_x0_posterior / calculated_g_posterior)\n", + "lower_est = round(np.quantile(calculated_land_posterior, 0.025), 2) \n", + "upper_est = round(np.quantile(calculated_land_posterior, 0.975), 2)\n", + "print(f\"The ball landing will be measured between {lower_est} and {upper_est} seconds\")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Projectile Motion\n", + "\n", + "Next, instead of a ball strictly falling, instead imagine one thrown straight upward. In this case, we add the initial velocity back into the equation.\n", + "\n", + "$$x_f = \\frac{1}{2} g t^2 + v_0 t + x_0$$\n", + "\n", + "We will envision the ball tossed upward, starting at 1.5 meters above ground level. It will be tossed at 7 m/s upward. It will also stop when hitting the ground.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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xEndh2zbXm3gf2UHY1tmEbZ2Np2IdnC0H4GrRP9+9vNPbPObWjeSxh73xnD0jX9o7z4hI0VGyLSJ+8bVeNsdxponlwDrC1n2BbfvPGXXYptWOq2FvXM2vxl33/KC1lJPTAvHGyoyuj7PzvTjPuwfLoY2E/fUttq0/Yjm2h/Clr2L//Q3c5/TEee4A3PW6+fxz79HdYNzYvJPp/O5EKiISKPpfTET84mu9bJZxzlRs234ibN3nWOM3Z9x8NOpcjtS6htgLL8FapmLA4gxVxWn78AK/sTqTYeCpdi5p1c4lrcej2Lb/TNjGb7313TsWYduxCE+56jjb3oSz5QCfart7dDfyTKbVeUZEgkXJtoj4xZd62TMXnxlJ+whbP52wjd9ipCYB4DbsLDjUj2lb/seWpBYAxEyDkSPMEv3xfnHbPtzvN1Z5sZfB1fIaXC2vwTjyD2EbvyNs00wsJw4QHvcy9j8n42xxNc62N2FG18v1UEqmRSRUWYIdgIgEn9ttsmatyYJF3q9ud94by3rrZXNPDO8fbhCWsJGI2fcT9UFf7Ks+wEhNwlO+BltqPkSvn35h1LLnMxJtOL3gbklcsdncNl/SFxqe/SYllJ93+hur3BS0q4dZuSGOHo9x6s5fSb3oedxVGmM4k7Gv+5yojy4jYuY9WPcsg+Kz6bGICKCZbZFSryCzrDnXy5qMvWUZHeLfx7ZqWcbtrrpdcLYZhKNOd+670UKSM5uD/r98dzIpBgqlg0sR8GUhYsC6etjCcbW8FleLa7DuXUbYmk+w7fw144+7ShOcHW/H1eRS1fOLSLGgf6lESrFA9MnOVC97xE0T9yIaJ7yPbftGAEyLDVfTfjg73O7tiQ2sX2uSkJB70lkSt9EOZAeXoubrQsSAMQzcdc7HXed8jMRdhK35jLBNM7Ae3oZ17qN4/pyEo9OduJpdAVZ7YM8tIhJASrZFSqlAzrJacdHJ9gP2vR9gSfwXANMWgfPc63C2vxWzfM1M4wO64K4YKe7P25eFiIXBjK6Po/dTOLreR9j6L7Gv/hjLsT1EzH8Sz5+TcXS6A1eLa8AWXqhxiIj4Q8m2SCkVkFlWjxvb1tnY/5yMJek/AMzwCjjb3Iij7U0Qlf2KuUJbcBfiSsLzDupCxIgKOM+7C2fbmwjb8DVhqz7EcuIAEYvG4ln2Ds6Ot+E893oIiwxSgCIiWSnZFimlCjTLanqw/j2f8D/ewnJ0JwCeqCo4O9yGs9X1YC+TMTS7Fnf57WRSUpTW5x1w9jI4OwzB2fp/3g4mK9/HcvIg4b9OIGzFezg73YWz1Q1gU3mJiASfkm2RUsqvWVbTxLrrV+y/v4U1YYv3pogKODoOxdnmRgiLyvTYnBdfejuZFMmCuxBSpAsNS4OwCJxtB+E89zpsm2diXzEVy/F9hP/6AmFrpuHoch+uZpeDocZbIhI8+hdIpJTKbzs3655lRH75PyJn3os1YQumvQxp5w/n1O0LcHYcmm2inVuLO4BxY40sMcTGem8PxX7TgeBdaFj6njf412LSp8fb7LhaXU/ykLmk9n4aT5kqWI7vI2LeY0R+eg3WnUvUMlBEgkYz2yKllK+zrLakXYTHvYxt56/A/y98bHsTjg63QWR0to/zdfHlN9MNunU1is1OioESrIWGwVTQjXx8erw1DFfrgbiaX0nY2s+wr3wf6+FtRM68G3fNDqRd8CCeGiHW5kVESjzDNEve2/3ExMSgnDc6Ojpo5y6OdL3yrzCuWXZJTGwsPHx3Ej2ZQtiGLzE8LkyLDWerG3CedxdmmdynxNesNbnvgbz/aXnzNYN2bQsvwdRrLH8K63rl1GIyXV4z+n4/PiUR+4r3CVv3GYbbAYCrYR/Suj+KWbG2708gB3p95Y+uV/7pmuVPMK5XdHT2k05n0sy2SCl39ixrlYoOOnimE7HibYy04wC4zrmQtO6PYFaq79Mxi3uLOwmcgraYLNDjI6Nx9HgEZ7ubsP8xCdvmmdj+WYh1VxzO9kNwdLoj02JeEZHCoGRbRLzt3NqYWHcsJjzuZSzHdgPgrtIER8/HcNc5P1/HKwkt7iQwCtpiMhAtKs1y1Um7eBzO9oOx/zoe254/sa94F9umGTi6P4yr6eVg+P8JS3Ydd85M/PO6X0RKNiXbIoKRuIvwRc9h2/Mn4G3j5+h6n3ejEIs138dTiztJV9BPOQL5KYmnSiNSr/0A645FhC95EUvSf0TMfRT3+ukkd3+CtYda5DshzquWvKC16iJS/CnZFinNnKnYV0wlbNX7GG4nptUekI/X1eIuuEJpJrWgn3IE/FMSw8DdsA/J9S4gbPXH2Je/i3X/WspMv57De67hrS0jSXRU8ikhXrAwLdvXeHrHnRsHmnzxZdbHpd8/bqwSbpHSQK3/REop6644oj65EvvytzHcTlz1LiD51h9xdBsZkDrW0tziLpiWxJkMGOhdoPrsc96vAwaaLIkLzlr4/LaYDPTjc2QLx3neXSxuPoef/uuHxTC5pu53zOh1OVfVnkFCgndRZk7Xze02Gf9Scq6n+PLr3EN4Y1L+2x+KSPGjZFuklDFOHCRi9v1EzrgLS9JePGWrknL5G6Re/W5AOjScqUd3g2+/NHjzNYOnn/J+/Wa6Eu3Ckldv82Ak3N5POXL/eef2KUdBH58bt9tkwrtVeWLNSwxe+inbkppQ0Z7Es22f5L0uQ6hT5t8cE+L1G+DQIU+ux/fkfndGrbmIlGxKtkVKC4+LsNUfE/VxP2x/z8c0rDjaDyZ58BzcjS8q0AKx3Fit3vZ+fXt7v6p0pHD42rUjGDOpBf2Uo7A+JTlz8eW6o+0YFPcVr216iBRXBB2rrOTbnv3pX3EKG9Y5sjw2UJ101JFHpORTzbZIKWA5vJ3wn0djPbQRAHf1NqT1eQZPTJMgRyaBEoiuHYWpoBv5FMZGQGcnui4zjGk7bmPBgYt44tzn6FZ1Kfc2nczxZXOxVBuLp2b7jLGB6qSjjjwiJZ+SbZGSzO0kbOV72Je9g+FxYoaXJ637w7haXguGPtgqSYpDb3PvpxzBe/zZckp09yfXYvjyd7ik5k880vJFKrMTvroJ57nXkdb9EQgvR+tWULWqJddSEosl91ISdeQRKR30v61ICWVJ2Erk9BsI/+MtDI8TV4NeJN86G9e51ynRDnFut8matSYLFnm/+lL6od7m+Zf74kuDefv6ceeGWThaXAtA2F/fEPXJVVh3/4HVavD4o1G5Hn/g9bmfPxAdefx5rYhI0dLMtkhJ43ZgXz6VsBXverdZj6hA2oVP4mrar9DqsiVw/O3LrN7m+edLi8rb7onG0f15XM2vJGL+U1iS9hD53e04Ww+kzxXjGDfWyPLzio31JtI9uhu0aJ7153nm/QWhHt4ixYNhmmaJexucmJgYlPNGR0cH7dzFka5X/uV1zSyHNnlrsw9vA8DVsC9pvcdglqlSVCGGlOL2GkvvJpKTvBYDFvTxxe16BUp2SWu2CbEzGXvcROzrv/B+H12X5L7P46zevsh3kCzozzoYSuvrqyB0zfInGNcrOjo6zzFKtgNIvxT5o+uVmS//Ied4zTxuwlZMxf7nZAzTjRkZTVqvp3A1vqRUz2YXp9eY2+3th53XzPQ303MvPfA5ccxGcbpegZafhNi6+w/C5z+J5cQBTAyc7Qfj6HIfhEUUWayBeK0UtdL8+vKXrln+hGqyrTISkRBQkI+DjaR9RMx9FOv+NQA4G19CWq+nIErFucVJoLqJFEbXjtIgP4sv3XW7kHzLD5T78zVYMx376o+w7VpC6sXj8VQv/DqdUO88IyKZaZWUSJD5vRGJaWLbPIuoT/tj3b8G016G1EsmkNbvVSXaxVAgu4mot3kRCC+H7erXSOk/BU+ZKliO7iTyyxsJWzEVPO5CPXVx6DwjIqcp2RYJIr83Ikk9TvhPDxMx7zEMx0ncNdqRfPNMXM2vyrFsRF0LQpu6iRRP7nMuJPmWWTibXIphuglf+hoR3w3FOBlfaOfUa0WkeFEZiUgQ+fNxsOW/lUTMfcxbL2pYcZx/L85Od4Il519ndS0IfeomUoxFRpN22UTc9S4gfPHz2PYuw/rJVaRe/ALuBhcG/HR6rYgUL5rZFgmifH0c7HHhXjCeyK9vxXLiAJ4KdUgZ+DnOzvfmmWj7VaYiRcrbhi73Nz6B6MsshcQwcLW4muSbvsUd2wwj9RiRP9yLffE4cKUF9FR6rYgUL0q2RYLI1495q5eJJ+KbIXji3sDA5ED1azlx43d4qrfO9XF+l6lIUPTobjBurJFlo5XY2NBs5SZZmdH1SRn4JY72gwGwr/uMyC9uwDjyT0DPo9eKSPGhMhKRIPLl4+CLG/5J2xWPYnMd5aSzDGPXj2X+/kuI+R5GjjAz/lPNrnWZuhYUP+omUgLY7Dh6PIa7zvmEz3sc6+FtRH1+HWkXjsZ17oCAnUavFZHiQcm2SBDltoOdBTd3NnmHu5q8jeEy2ZbUhEdWvcaeU3WB02Ug48Z6x2dXk31hD9/iUNeC0JKfNnQSutz1u5Nyy0zC543CtvsPIhY8hXP/Wm9rzgD15NZrRST0qYxEJMiy+zi4Uvhh3u9xJ3c3mYKByXf/DuCW377ISLTP9OIrOddkf/2tbzGoa4FI4TDLxJB6zXukdR2JaVgI2/Q9kV/eiHFsT7BDE5EiopltkRBw5sfB7FnJeXsfItxxGLclkqdWPc1P/12R42OPH8/92BYLeDw536+uBSKFzLDgPO8uPNVbET7nYawJW4j6fACpl7xYKN1KRCS0aGZbJERYLXCe6wMu2DnEm2hXbsAvjb7KNdH2RW6JNqhrgUhRcdc5n5SbvsNdvQ1G2glvt5Klrxf6JjgiElxKtkWKUI4byziTCf/pIcJ/m4hhenA2u5KUG7/GXqNhQM57/QDUtUAkBJjlqpFy/TQcbW8GwL7iXSK+H4qRfCTIkYlIYVEZiUgRyWljmcfv3EePgyOwJmzFtNhIu/AJXK0GgmHQupWZZ7cSX3TrajDsHv+7FmTX6USz4SJ+stpxXPgEnuqtCV8wBtueZVg+u5bUK97EU101XSIljZJtkXzwN+lM31jmbPXMZbRd9RDW8GN4oiqTevnreGp1yLg/t24l6cqXz71uO70m29+uBdp9UqRwuJr2wx3ThMjZ92M5upPIr28mre9zuJpfGezQRCSAVEYi4qMlcSYDBprc94DJs895vw4YmPcOjNlvLGMy6JxPeLvznUSHH2P7yRacHPh1pkQ7XV6bVzz2cOHtJKfdJ0UKl1m5Ick3fo2rQW8Mt4OIeY9hj3tZddwiJYiSbREfFCTpPHtjmXBLKs+1fYJHWr6IzeJm9t4rufnXT1i3q3qOx+jR3eDbLw0+er88Tz9l8OZrBt9M99ZbF9ZOctp9UqSI2MuQeuWbOM67y/vtqg+J+OFeSDsR5MBEJBBURiKSB1+Tzm5dsy8pOXPDmNiIQ7zWcQQtojfh8lh5ddMjfLHrJsDIc2MZq9WgU8cwGjXMeo7C2ElOu0+KFCHDgqPrSDyVGxH+82hsu+KImj6QU5dPYu3eelovIVKMKdkWyUNBk870DWOalN/CW+fdS2xkPIlpFXl09URWHu6cZZy/Ar2TnK+7Smr3SRH/ZV0Hchme6HpE/DAMy9GdmB8O5PMVr7L88PmA1kuIFEdKtkXyUNCks3UruKLxLzze8BGibCnsON6AESumsD+5VsaYUNxYxtfkX7tPivgn58XHzQk/52tifr2P1pXWM7nzXUzc9CjTdw0iIcFg9BiTcWOVcIsUF6rZFslDgZJO0yRi3TTGNh1BlC2FP+O7MHjpZ5kSbQjNjWVat8ram/tsofgmQaQ4yGsdyNg3q3DHHx8xe++V2CxuHjt3PI+1fAEL3oWTWi8hUnwo2RbJg99Jp8dF+OKxhC95EQOT3THX8+zOKZxwlc/0uFDdWMbbdrDwOp2IlFa+rAM5fhwcnnCeWvsCr216CID/nfMFr3a6jwhrckbpmoiEPpWRiOTBl17XWZLOtBNE/PgAtt2/Y2Lg6PEoldvdylc3BnYRY2Hzdjohy0fdsbHe5xyKbxJEQp0v60BOM5i24zb2JddkXLtR9Kz2Kx90Hcx9yydz5GhsYYYpIgGiZFvEB/lJOo2kfUTMvBvrkX8wbZGkXvYy7oa9AbBai1/njsLodCJSmvmzqHjhgYtJ+COW1zqNoEXFTXx6wY3sD38baBzw+EQksJRsi/jIl6TTEr+ZiO/vwpJ8GE+ZWFL7T8FTtUUQow6MQHc6ESnN/F1UvD6xLbcu/ZzJ591NnbJ7qL7uJlLrvIW7znmBDVBEAko12yL54E06Dfr29n49M9G27v6DyK9vwZJ8GHeVJqTc+FWJSLRFJLB8WQdSvnz2t+89VZdbln7B0bLtMBwniPj+DmybZwY8RhEJHCXbIgFg2zqHiBl3YzhO4ardmZQbPsUsVy3YYYlICPJl8fFjD+e8M+wjT1bCftuHOBtfguFxEjHvccKWTQFT3UlEQpHKSEQKKGzNNMJ/nQCAs/ElpF3yItjsQY5KREKZr+tAci5dCyet30TM8jWxr/qA8D/ewkg+iuPCJ8DQPJpIKFGyLeIv04P9t4nYV30IgKPtzTh6jtJ/dCLiE1/WgeS6XsKw4Oj+MGa56th/GYd93ecYKYmkXTIerHrDLxIq/E62//vvP1auXMmWLVs4evQoJ06coFy5clSqVIlmzZrRsWNHatWqlfeBRIojt5Pw+U8StmUWAGndHsTZcSgY6tAhIr4LxOJjZ9tBmJEVCZ83irBtP2GkHif1yjcgLCowQYpIgeQr2U5KSmLGjBl888037Ny5EwAzmxox4/8TjgYNGnDdddfRv39/KlSoEIBwRUKA4xQRs0di270U07CSdtHzuFr0D3ZUIlKKuZr2w4yoQMSs+7DtXkrkN0NIufodiIwOdmgipZ5hZpctnyUlJYX333+fDz/8kJSUFCIiImjZsiXnnnsu55xzDhUrVqRs2bKcOHGCpKQkdu7cyYYNG9i4cSNpaWlERkZy++23c/vttxMZGVnoTyoxMbHQz5Gd6OjooJ27OCqW1yvlGJEz7sJ6cIO3h/YVr+Ou373ITl8sr1kQ6Xrlj65X/oTi9bLsX0fkzLsxUpPwVGpAyrXvh8xi7VC8XqFO1yx/gnG9oqPzfkPr08x2nz59OHLkCN26dePKK6+kT58+REXl/fFUcnIy8+fPZ/bs2UyaNIkvv/ySpUuX+nJKkZBjnDpMxHdDsR7ehhlRgZSr38VTvXWwwxIRyeCp0YbkGz4j8ruhWI7uIPLLG0m59gPMSvWDHZpIqeVTst2mTRuGDRtG8+bN83XwqKgo+vfvT//+/dm0aRNTpkzxK0iRYDNOHCDy29uwJP6Lp0wVUq/9AE8V7dwmIqHHrNyQlIGfexPuxH+J+moQKVdPxVOtZbBDEymVfGqbMHny5Hwn2mdr0aIFkydPLtAxRILBSNxN5Fc3eRPtctVJuf4zJdoiEtLM8jVJvuFz3FVbYqQkEvntECz71wY7LJFSST3KRHJhObydyK9vwnJ8P57oeqQM/Bwzum6wwxIRyVtUJVKu+xh3zQ4YjpNEfjcU694VwY5KpNRRsi0ljtttsmatyYJF3q9ut3+7qlkObvRuv37qMO4qjUm5/lPMctUDHK2ISCGylyHlmqm46nbBcCYT8f2dWP/V2imRolSgTW1WrFjBihUrSEhIwOFwZDvGMAxeeOGFgpxGxGdL4swsO7LFxMDIEWTsyJYXt9tkV9wqWqy/B8NzClfVc0m9ZipEViycoEVEClNYJKlXTSHix5HYdv5KxA/3knr567gb9Ap2ZCKlgl/J9rFjxxg+fDirV6/Ots/2mZRsS1FZEmcyekzW12NCAoweYzJubN4J95I4kyWf/MGzjYcTZktl5eGOPLd8MnfVLkuPouvwJyISWLZwUq94g4ifHsH293wiZt9P6mUv4258SbAjEynx/Eq2x48fz6pVq2jUqBHXX389tWvX9qkVoEhhcbu9M9q5eWOSSbeumbdCPtOSOJPZb/3O652GE2FN47dD3Xl45WukeSJ8TtZFREKW1U5qv4mEz3uCsK2ziZjzEGkuB67mVwY7MpESza9k+5dffqFatWp8+eWXlClTJtAxieTb+g1kKh3JTny8d1x2WyO73Sa/fbKU1zuNIMKaxq8He/LIqtdweuwZY/JK1kVEQp7FRtol48FmJ2zjd4TPGwWuVFytrg92ZCIlll8LJN1uN23atFGiLSHjyNGCjdvz6+8828Q7o/3LgQt5eGXmRBtOJ+siIsWaxUpa37E4Wv8PA5OIhU9j2/BVsKMSKbH8SrZbtGjB4cOHAx2LiN8qV/J/nPXfpTTfMIxwq4NfDvTikVWv4jLtWQfie1IvIhLSDAuOXk/haD8YgIiFz2D765vgxiRSQvmVbN9zzz2sW7eOuLi4QMcj4pfWrbxdR3ITG+sddybrrt+I+GEYVtPB4gO9eWTVxBwTbfA9qRcRCXmGgaP7ozja3QJA+IKnsW38PshBiZQ8ftVsn3/++bzyyis89thj9OjRgy5dulC1alUsluxz944dOxYoSJG8WK0GI0eQbTeSdPcPNzLVW1t3/UbErOEYbgfOBn14ednLuSba2SXrIiKhzO02Wb/B+6lc5Uref8MyrTsxDBw9RoFpYl/7KeHznwTDgqtF/6DFLFLS+N1nOzk5GZvNxg8//MAPP/yQ69gtW7b4exoRn/XobjBuLFn6bMfGehPtMzuJWHfF/X+i7cTVsA9p/V5leLQtX8m6iEgo83nfAcPA0fNx8Liwr59O+M9PeBNudSkRCQi/ku3vv/+e0aNHY5omzZs3p1atWlosKSGhR3eDbl3JdSbH2Pk74T8MxzCdJMT0xX7JK1itYfTojs/JuohIKMv3vgOGgaPXkximh7ANXxH+8+NgseJq2q8IoxYpmfxKtt9//33sdjtTp07lvPPOC3RMIgVitRrZtvcD+GvOStpuHo7F6mTRgT48NvtlomfZGDnCpEd3w6dkXUQklPm974BhIa33GPC4Cdv4LeFzH/XOcDe5tJAjFinZ/FoguW/fPjp27KhEW4qVdT+tp9Wmu4mwpvLboe48tuplXGZYxkzPkjjvf07eZN2gb2/vVyXaIlKc5GffgSwMC2l9n8XZ4hoM00P4T49g3f5zocQpUlr4NbNdtWpVIiMjAx1LhrS0NF599VU2btzI7t27SUpKonz58tSuXZvrrruOK6+8krCwsEI7v5Q85sHNtN54J2VsySxPOI+HV76WZTGkNq0RkZKgoPsOYFhIu+g5MD2EbZ5JxE8Pk2oLx31Oz0CFKFKq+DWzfdVVV7F8+XKOHTsW4HC8Tp06xfTp0zEMg549ezJkyBD69OlDfHw8TzzxBHfffTcej6dQzi0lj3FkB+HfDKWc7TjrjrZh5Iq3SPNEZBmnTWtEpCQoyL4DGQwLaRc9j7Pp5RgeFxGzR2LduyIg8YmUNn7NbN99991s3bqVW265hdGjR9OpUycMI3CzgRUrVmTVqlXY7ZlnHl0uF0OGDGHp0qXExcXRs2fPgJ1TSibj2B4ivx2CxZnIpmMtGL7sHVLcOS/m1aY1IlLcpe87kFspiS+tTN2mhWVVx9Fw/ymqH/+FiJn3kDLgIzzV1QNVJD/8SrYvuugiAPbv38/gwYOx2WzExMRkm3AbhsHChQvzdXyLxZIl0Qaw2Wz07duXFStWsHv3bn9Cl1LEOL7fm2ifSuBUmUbcO3cqJ13lcn2MNq0RkeLOn30Hzna6baANu2Uib513D+fFLMf29R24Bn2Kp0rjwghdpETyK9net29fpu+dTif79+8PSEC58Xg8/PbbbwA0bqxfdMmZcTLem2gf348nuh7ua9/HvrAiFHCmJy95biAhIlIE8rPvwNnObhvo8IQzcsVbvHP+HbSutB7P9Nsxb/oMM7puYT4FkRLDr2R769atgY4jWw6Hg3fffRfTNDl27Bh//vknO3fu5JprruH8888vkhikGEpNIuK7oViO7cFTviYpAz7EUi6WkSOy7zubrqCb1vi8gYSISBHwp5VpTm0DU9xlGL78bd7vMpgmFbbj+fY2UgZ+hlmuemE+BZESwTBNM/dmnEF06tQp2rVrl/G9YRgMGTKEhx56CJst5/cJHo8nx63jpWQzHcm4p92AuWcllKuKbegsjEqnZ18WLExj/EvJHDp0eoFttaoWRj0aRd8+4X6fd8HCNB54+CRn/zalV1a99krZAh1fRKQorFjpZMjQ4zneXyn8MB91vYW6ZXdDlYbYbp+BUTYmyzi322T1GhcJhz3EVLHQvp1Nn/JJqRXSyXY6j8dDfHw8ixcv5rXXXqNhw4a89957lC1bNtvxiYmJRRyhV3R0dNDOXRwF/Hq5nUTMGo5tVxxmeHlSrv8UT0zWcqNAl3q43SYDBpp5Lkb6ZnrBe3brNZY/ul75o+uVPyXxei1YZPLsc7mnBdUi9/P9ZTcT5TyIO6YZKdd9DBHlM+7P6VO+0aPK0qF9ciFFXjKVxNdYYQrG9YqOjs5zjE/Tv3///XeBgynIcSwWC9WqVePGG29k7NixrFmzhrfffjsgMUkJYXoInz/am2jbIkjp/3a2iTYEftOaAm0gISISQnxZJH4wpQab2n2IJ6oy1oQtRM68B5ypwOl677P/TUxIgAcePpmxeZhIaeJTsn3llVfy4IMP+l2rvXnzZu6//36uuuoqvx5/pm7dugGwYoX6fcr/M03sS14kbMtsTMNK6uWv4anZLu/HBUiBN5AQEQkR6W0DcxMbC4071yP12g8ww8th3b+GiJ8exu10+rRNvNuthFtKF5+S7WHDhvHrr79y9dVXc9VVVzF16lTWrVuHw+HIdnxaWhpr167l3Xff5YorruDaa6/lt99+Y9iwYQUOOD4+HiDXmm0pXcJWvod9zScApF08rsh3OQvIBhIiIiHA2zYw90/70heTe2KakHLVZEyrHduORSR/+xwJCTkn0qapT/mkdPIpYx0+fDj/+9//ePvtt/nhhx949dVXMQwDq9VK9erVKV++PGXKlOHUqVMkJSVx8OBB3G43pmlSrlw5brnlFu666y4qVfIt2/jnn3+oWbNmli3hU1JSGD9+PAA9evTI51OVUOJ2m6xY6eTf3WaB6qZtG74mfOlrAKT1eAxX84J/epJfgdpAQkQkFOSnbaCnVkdSL3uZiB8foPqBb7inSRXe3jY81+MfOao2qVK65HuBZGpqKnPnzuWXX35hzZo1HD58OMuYKlWq0KFDB3r27Mmll15KeHj+ujC89dZbfPTRR7Rv356aNWtStmxZDh06RFxcHMeOHaNDhw588MEHRERk3XIbtEAy1OXcIi/33q9ns/49n4gfH8AwPTg63Ymj2wOFEK1vzu5Le7ZxY/P33HKi11j+6Hrlj65X/pT065WfhNi2/ksiFj0LwPPrx/Dt7htyPO7tQ2DWjxT4/4DSoKS/xgItVBdIFrgbydGjRzly5AgnTpygXLlyVK5c2ecZ7Jz89ddffP3116xdu5ZDhw6RnJxM2bJladKkCf369ePaa6/NtYxEyXboClRSatm7gsjvh2K4nThbDiCt79jTffaCJLs3Eb5sIJEfeo3lj65X/uh65Y+uV2a2pW8SseJtPKbBw6teY/GBvpnuNwwoVw6O59xZMGATEyWFXmP5U2KT7VCkZDs0BapFnuXw30R+NQgj7QSuhn1Ivfw1sIRGDX9hfzSq11j+6Hrlj65X/uh6ncU0OfLp09Q9/A1pbjv3LpvK6iMdMw0pXz73ZDtQbVJLCr3G8idUk23t/CJFJhAt8oyT8UTMuAsj7QTuGm1JvfTlkEm0IfBtBUVEig3DoPJNYzhYsRfhVgevdxpBw3LbAW8SPeyeiFwTbdACSimZlGxLkSlwizzHKSJm3I3lxAE80fVIuWoyhGVfty8iIkFgsVH25om4arSjXNgJPu17F++OP8A30w3q1vVtYkRtUqWkUbItRaZALfLcTiJmj8SasAVPZCVOXvUua7ZWZMEikzVr1bdVRCRkhEWQ2n8K7soNiXTF02H73VhdJ4mp4lvKoTapUtKEzufvUuL53SLPNAlf9Cy23UsxbRH8UXcKz95VK1M/V+9KdrSwRkQkFERUIPWaqUR+cQPWI/8QMft+2t36ldqkSqmkmW0pMvnZLOFMYcvfJmzjd5iGhVX1JjL8pXOz3Qp49BhTWwGLiIQIs1x1Uvu/jRkWhW3Pn/DTKEbm3oI72/8DRIo7JdtSpLybJRhZtgOOjc2+5ZNt00zC/3gLgNSeT/LEpz1zPb62AhYRKRput7eML7dyPk/VFqT2m4hpWDBXf0GfiPfy9X+ASEmgMhIpcj26G3TrCjt3lePf3SdybJFn3f0H4QueAsDRcSgrGZjrVsBweiV7u7aFFr6ISKmX8+ZkWcv53Of0xHHhE4Qvfp7w31+n92W16PblZdpBUkoNv2a2e/fuzcsvv5znuIkTJ9KnTx9/TiElnNVq0KljWI4t8iyHtxMx+34Mjwtnk344uj1Q8G4mIiJSYOmbk+WnnM/ZZhCWLncBEP7z44QdWK02qVJq+JVs79u3j6NH885oEhMT2bdvnz+nkFLMSD5CxMx7MBwncdfsQNrFL4BhKVg3ExERKTC32zujnZucyvksFz+Nq2EfDLeTyFnDMRJ3FVaYIiGlUGu2U1JSct1WXYo3X+r18s2VRsSsEViO78dTsQ4pV74JNjtwuptJbrSSXUSk8BRkczLDYiH10pdwV2uFkZpE5Pd3Q7I+ipSSr1CSbY/Hw44dO1i+fDk1atQojFNIkC2J8269ft8DJs8+5/06YGABu4GYJuHzn8K6fy1meHlS+r8Dkae3QfW3m4mIiARGgcv5wiJJvWoynvI1sSTtIXLWcHClBSw+kVDk87Rzs2bNMn0/c+ZMZs6cmetjTNPk+uuv9yswCV3p9XpnS6/XGzfWv37XYcvfIWzrbEzDSuoVr2NWqp9ljLebCVkW5sTGehNtrWQXESk8gSjnM8tUIeXqd4n68kas+9cSvmAMaZdMAEP/fkvJ5HOyXb169Yy/HzhwgIiICKKjo7MdGxYWRmxsLL179+bmm28ueJQSMnyt1+vWNX8ry63b5xH+x5sApPUeg7vO+TmOTe9mopXsIiL+c7vNfP876vfmZGcxKzcg9fLXiPj+TsK2zMJTuSHOTnf48SxEQp/PyfbixYsz/t60aVMuueQSxo8fXyhBSejKT72er+33LAf/ImLuKAAc7W7F1SrvT0OsVkPt/URE/JSf1n1n8pbzke2nm+l8Ledz1+2C48LHCV/8PPalr+Gp3AB3g175eh4ixYFfNduffPIJd9yhd6ClUaDb7xknDhDxw70Y7jRc9Xvg6P6I/8GJiEie/Gndd6b8bk6WG2ebQThbD8TAJOKnR7AkbPf5sSLFhV+tQjp16hToOKSYCGT7PTPtFBEzh2E5dRh3lcak9psIFmvBAhQRkRwFqhQwkOV8aT2fwDj6L7a9y4j44R6Sb/wGotTDVUqOAvXl27t3L6tXryY+Ph6Hw5HtGMMwGDZsWEFOIyEkUPV6mB7c3w3HmrAFT1RlUvtPAXuZgMYqIiKZBbIUMGDlfNYwUi9/jagvbvB2KJl9HynXfpjR9lWkuPMr2XY4HDz55JPMnj0b8HYdyYmS7ZIlUPV69j8nY26Zi2m1k3rlJMzyNQMdqoiInCVkd+KNrEhK/ylETR+Idd9qwhc9S9pFz6tDiZQIfiXbb775JrNmzaJ8+fJceeWV1KtXjzJlNCtZWhS0/Z717/nYl00BIK3vs3hqtCnEaEVEJF0o78RrVm5Aar9XiZh5N2GbvsdTpRHO9oOLPhCRAPMr2f7xxx8pX748M2bMoGZNzUiWRv7W61kSthMx73Hv38+/E1fz/kUQrYiIQABLAQuJu/4FOHo8SvivE7DHvYwnuj7uc3oEJxiRAPGrG8mRI0do3769Eu1SzluvZ9C3t/drngtjUo4RMWs4hjMZV53OWC4eUzSBiogIUDx24nW2vQVnywEYpoeInx7GSNwVtFhEAsGvZFtbsEu+eVxEzHkQS9JePBVqkdrvVQxrgdbnioiIHwLZuq9QGAZpvZ/CXaMdhuMkkT+MAMep4MYkUgB+ZTvXXnst7777LkePHqVSJbXnkbzZ417BtudPzLAoUq+cDJHZ7z4qIiKFL+R34rXaSb3idSI/G4Dl6A4i5o0i9Yo3wPBrjlAkqPx61Q4dOpTu3btzyy23sGzZsly7kYjYNs/EvmYaAKkXj8cT0zjIEYmISL5LAYuYWSaG1CvewLSGYftnIWErpgY7JBG/+DWz3bdvXwD279/PkCFDsNlsxMTEYGTToscwDBYuXFiwKKXYshz8i/AFTwPgOO8e3I0vCnJEIiJSXHhqtCGt11NELBiD/fc38cQ004JJKXb8Srb37duX6Xun08n+/fsDEpCUHMapBCJmjcBwO3A16IWjy/BghyQiIsWM69zrcB7aRNiGr4iY+wjJN36NGV0v2GGJ+MyvZHvr1q2BjkNKGreTiB8fwHLyEJ5KDUi95EXV2omIiF/SLnwCy+HtWPevJWLWcFL+95V2HZZiQ9mPFAr7bxOx7luNaS9LylVvQXjZYIckIiLFldVO6uWv4ykTi/XIDiJ+fgK0XkyKCSXbEnC2bT+dXhB5yQTM6PpBjkhERIo7s2ysd8GkJQzb3/MJW/lesEMS8UmBku2lS5cybNgwLrjgAlq2bMkTTzyRcd9vv/3G+PHjOXToUIGDlOLDOPIP4fOfAsDR8Q7cDXsHOSIRESlu3G6TNWtNFizyfnW7vbPY3gWTTwJgX/o61l2/BTNMEZ/4vavI888/z+eff45pmkRFReFyuTK1AIyJiWHatGlUr16dwYMHByJWCXVpJ4mcdV/GDpGOrvcFOyIRESlmlsSZvP6WmWlL+ZgYGDnC2x/c1ep6nPGbTy+YvOk7zPLa0VpCl18z2zNnzuSzzz6jRYsWzJgxgzVr1mQZ07RpU6pXr87ixYsLHKQUA6ZJxM9PYEnchadsNVIvmwgW7RApIiK+WxJnMnpM5kQbICEBRo8xWRLnneVeFv04RyPPxUhNInz2A+ByBCdgER/4lWxPnz6d8uXLM3XqVJo1a5bjuCZNmvDff//5HZwUH2GrPsT2zwJMSxipV7wOUdpZVEREfOd2e2e0c/PiKyYDBpqMeCiMQbNeJclRHtuhvzg8fUIRRSmSf34l29u3b6dt27Z5btVetmxZDh8+7FdgUnxY9yzHvvRVwNueyVO9dZAjEhGR4mb9BrLMaJ/t+PHTYw6k1GD0mhcBqJcwnb9nzC7kCEX84/cCyex2izxbfHw8ERER/p5CigHjxEHC5zyIYXpwNr8KV6sbAnLcnBbHiIhIyXTkaP4fszS+O1O33QVAs3+exozfHuCoRArOr6LaevXqsWnTJpxOJ2FhYdmOOXnyJFu3bqVhw4YFClBCmNtBxI8jsaQcxR3TlLTeT4MPb8LyktfiGBERKXkq+1l9+M62YbSqtIHOMX/i+X4kntu+0YY3ElL8mtm+5JJLSEhIYOLEiTmOefXVVzlx4gT9+vXzOzgJbfbfXsV6YD1meDlSr3gDwiILfExfFseIiEjJ07qVd2IlvzxYeXz1SxxKqUpU8i7C5z+pDW8kpPiVbN966600btyYadOmccMNNzB16lQA9u7dy8cff8ygQYP44osvaNasGdddd11AA5bQYP1nYeaNayrWKfAxfVkc88YklZSIiJREVqvByBH+fXqZ6KjEI6texWPYCNs+j7C1nwU4OhH/+ZVsR0RE8PHHH3PBBRewfv16XnvtNQBWrVrFhAkTWL16NV27duX999/HbrcHNGDJn8KofTaS/iPi59EAONoPwd2gV4GPCb4tjomP944TEZGSp0d3g3FjjSwz3DExUL587o89GNaGtAseAcAe9xKW/WsLKUqR/PG7EXKlSpWYOnUqW7duZenSpezbtw+Px0O1atXo2rUrrVq1CmSc4odCqX12O4j48UGMtOO4q7fG0e2BwASL74tj/FlEIyIixUOP7gbdunonVo4c9dZyt24FS3/3lhPm5P7hBu72N+M8uJaw7fOI+PEBkm+eAZHRRRi9SFYF3nWkadOmNG3aNBCxSACl1z6fLb32edxY/xJue9wrWA/9hRlegdR+E8Ga/QJZf/i6OMbfRTQiIlI8WK0G7dpmvq1Hdxg3liyTSLGx3kQ7/f+0tIuex5qwDUviLiLmPU5q/ylg+N18TaTAtMVfCeRr7XO3rt5/0Hxl/Xs+9rWfApB6yfiAb4+bvjgmt1KS2FjvOBERKX1ymvXO9H+ZvQypl79G5BfXY9u1hLDV03B2GBK8oKXUK1Cy/d9//7Fq1Sri4+NxOLLfKtUwDIYNG1aQ00g+5af2+eyZg5wYx/YSMf9JABztb8Pd4MICRpmVd3FM3h8T5ucNgoiIlCzZzXqfzRPThLQLnyBi4TPYl76Ku2Y7bbgmQeNXsp2WlsaTTz7Jjz/+CICZS4sdJdtFL+C1zy4HEXMexEg7gbt6GxzdRvobWp68i2Py/phQREQkN65zr8e5Z5m3fnvOgyTf9D1EVAh2WFIK+ZVsv/zyy8yePZvKlStzxRVXULt2baKiogIdm/gp0LXP9riXsR7aiBlRgdTLXw1onXZ2fPqYUEREJDeGQVrfsVgPbcKStJeI+U9594QIwOZrIvnhV7I9d+5coqOjmTlzJjH+dKCXQhXI2mfr9vnY13n7laZeMgGzXHWfYnC7zQIly758TCgiIpKr8HKk9nuVyC9vxPbPAsLWf4GzzaBgRyWljF/Lc5OTk+nYsaMS7RDly8YAvtQ+G0n7iFjw/3XaHW7HfU5Pn86/JM5kwECT+x4wefY579cBA7X7o4iIFD1PtZY4uj8MgH3Ji1jiNwc5Iilt/Eq2GzVqxMmTJwMdiwRQThsDxMbCuLE+1D57XET89PDpOu2u9/t0Xm23LiIiocbZ9mZcDXphuJ1E/PgAOE4FOyQpRfwqIxkyZAiPPPIImzdvpnnz5oGOSQKkILXP9j8nYz2wDtNeltTLXvGpTruwWg6KiIgUiGGQetE4oj67BsuxPYQveJq0y15W/bYUCb+S7UsvvZRDhw4xZMgQbrrpJrp06ULVqlWxWLKfKK9Ro0aBghT/+VP7bN27grDl7wKQ1vdZzAq+9dMujJaDIiIiARFZkdR+E4n86mbCts3BXec8XOdeF+yopBTwu892kyZNqFixIlOmTGHKlCk5jjMMg82bVR9VbKQkEj73UQxMHC2uZUXypRxZZPo0K67t1kVEJJR5arTF0fV+wpe+SvgvL+Cu2R6z0jnBDktKOL+S7V9++YURI0bgcrmIjo6mRo0aav1XEpgmEfOfwnLyECcj6vO/D0ex99DpspCYGBg5Iudt3rXduoiIhDpnx9ux7l2GbfcfRPz0MCkDvwSbPdhhSQnmV7L91ltvYZom48ePp3///hiqeSoRbOunY9uxCLcRxu3zXmbv8cxvoNIXOY4bm33Cre3WRUQk2PJsPWtYSLt4PNZPrsIavwX776/j6PGo748XySe/ku0dO3bQoUMHrr766kDHI0FiSdhO+JIXAXh350NsO94sx7E5LXLUdusiIhJMS+LMLDsQZ/eprFk2ltSLxxH5wzDsqz/CXa8r7rpdfX68SH741fovOjqa6OjoQMciweJMIfynhzDcDo5U7sHUv27KdXj6IsfsFLjloIiIiB/y23rW3aAXztYDAQifN4o/Fx1R61opFH7NbF988cXMmTOHtLQ0wsPDAx2TFLHwJS9iPfIPnjJVWFZtHJB3QpzbIkdtty4iIkXJ39azad0fxfLfSqxHdlD2lyeBSeT0f6Ba14q//JrZHjlyJDVr1uSee+5hz549gY5JipD17wWEbfgKE4O0S16kXKxvqxfzWuTobTlo0Le396v+cRIRkcKSn9azmYRFknbZRDxGGOdX+pXr632Z6+PXrjNZs9ZkwSLvV7dbs92SN79mtu+66y4sFgt//vknl156KTVr1qRq1arZLpQ0DINp06YVOFAJPONkPBELngLA2eE23HW70LqWqUWOIiJSrBSk9awnpgkbqz9Eq/0TeLDFy6w+0pEdJxpm+/gxz8DxE7536RIBP5PtFStWZPzd7XazZ8+eHGe41akkRJkewn9+AiM1CXdscxxd7wO0yFFERIqfgraePdb4JpauXUq3qksZ3/4Rbor7Eocna5ns8ROZv8+rS5cI+JlsL1q0KNBxSBELW/cFtt2/Y1rDSb30JbCe7jHqXeRIlhXZsbHeRFv/oIiISCgpaOvZ1q0tDH1lHM0rXk3j8tsZ2fxVXtr4uM/nVz235MavZLtmTd+275bQZBz5B3vcKwA4ejyCWblBljFa5CgiIsVFQT+VtVoNBt8dw5hJ45jU+R5uPOczfo/vxu/xF/h0/vR68HZt/QpfSji/FkhKMeZ2EPHToxjuNFz1LsDZ+sYch2qRo4iIFBe+tp51u7Nf5Niju8Glw3sw48AgAJ5p8yQV7YmUL+/b+X2tG5fSx6+Z7XT//PMPX3/9NRs2bCAxMZHevXvz6KPeXZjWrFnDxo0bufLKK6lYsWIgYpUAsP8xCWvCFsyIiqRd9Dyopl5EREqIvD6VzWvTmh7dDdznPcSpj/4khp18c/NYNjV7lZEP5/1/pa9141L6+J1sf/TRR0ycOBGXywV4F0ImJiZmGjN+/HjsdjsDBw4sWJQSEJb/VhK28n0AUvuOxSwbG+SIREREAsv7qWzW29M3vTnb2YscreGRGFe/hDl9IDEJ8+nU9kdiYq5Qly7xm19lJL/++isvvvgi1apVY9KkSfzxxx+YZuYXcLt27ahUqZIWU4aKtBNEzH0MAxNni2twN+ob7IhERESKhK+b3qSXlHiqtsDR+V4AIn99nlF3Hsj1serSJbnxK9n+6KOPiIyM5KOPPqJPnz5UqpT9ZydNmzZl165dBQpQAiN88fNYThzAU6E2aRc+EexwREREiow/m944O92Bu3prDMdJehwbzbhnzTzrwUWy41cZyaZNm2jTpg21a9fOdVx0dDSrV6/2KzDxjdtt5tkxxLZtLmFbZmEaFlIvfRHsZYIUrYiISNHza9Mbi43US14k6tOrse1dTp9zPqXbl7eqS5fkm1/JttPppEyZvBO2o0ePYrVa/TmF+CCvhR4AxolDhC98FgBnpzvx1DhdyOZLoi4iIlLc+bvpjRldl7SejxGx8BnsS1/DXbcr7do2CnyAUqL5VUZSq1Yttm7dmusYh8PBtm3bqFevnj+nkDykL/Q4+2Ox9IUeS+JMME3C5z+JkZaEu2rLjPqz9McPGGhy3wMmzz7n/Tpg4P8/TkREpARJ3/QmNzktcnSdez2u+t0x3A7C5z4GbkfhBCklll/Jdq9evdi3bx8fffRRjmPef/99jh49ykUXXeR3cJI9Xxd6WNZ/jW330v/fJfJFsIYBPibqIiIiJYR305vcP7nNcZGjYZDW9znMiIpYE7Zg/3NKIUUpJZVfyfbQoUOpWrUqL730EiNHjmTOnDkAHDlyhAULFvDoo4/y1ltvUatWLQYNGhTQgMW3hR62k/8RvuRFABzdRmJWOgfI/4psERGRksDXTW+yY5aNJbWPtyQzbOV7WPavLcxQpYTxq2a7QoUKfPTRR9x3333MmzePn3/+GYDffvuN3377DdM0adiwIZMnT6Zs2bIBDVjyXuhh4GFsmyexulNw1+yAs90tGfflZ0W2tp0VEZGSJK9Nb3LjbnwRzmZXErZlFhFzHyP55hlqOCA+8XtTm/r16/PDDz+wePFifv/9d/bt24fH46FatWp06dKFiy++WIsjC0leCz3+V/9zOlRZidsaSerFL4Bx+gMMv1Zki4iIlBA5bXrji7ReT2L9byWWpL3Yf5uIo/eYwAYnJVKBtmu3WCz06dOHPn36BCoe8UH6Qo/sZqjrltnFfc1fA8DR/RHMipnbM/q7IltERKTUCy9H2kXPE/nd7djXT8fd6CLcdTr7/HB1ASud/KrZluDKaaGH1XDxXNsniLCmkVC+C+42A7OMKciKbBERkdLOXbcLzlY3ABA+fzQ4Tvn0OHUBK738Srbnz5/P1VdfzZ9//pnjmD/++IOrr76ahQsX+h2c5Cy7hR63NPiIVpU24LSWI+qG58HIJiEvyIpsERERIa37I3jK18RyfD/hcS9n3O52m6xZa7JgkfdrerMBdQEr3fwqI/n+++/Zv38/7du3z3FMhw4d2LdvH999953KTArJmQs9nPu2c+Hfk8AEd98nMMtVz/Vx48aSZUOc2Fhvoq1tZ0VERHJhL0PaReOI/HYwYRu+wtWoL4t3d8l2o7n7hpm8OTn3w70xyaRbV5WUlFR+Jdtbt26lSZMm2O32HMfY7XaaNm2a5+Y32Tl06BBz584lLi6OnTt3cvjwYSpUqEC7du0YOnQorVu39ifsEslqNWjXykHkxsexmC5cDXrjanZVno8ryIpsERGR0s5d5zwcbQZhX/c5zH6SF2b+wClX5g5sCQnw1DN5H0tdwEo2v8pIjhw5QmxsbJ7jYmJiOHLkSL6P/+mnnzJ+/Hj27t1L165dGTJkCO3bt2fRokUMHDiQn376yZ+wSyz7snewJmzBjKhIWp9nsi0fyY53RbZB397er0q0RUREfOe44EHcFWoT6TjIQy1eKtCx1AWs5PJrZrt8+fIcOHAgz3EHDx4kKioq38dv1aoVn376KZ06dcp0+6pVqxg8eDDPPPMMffr0yXVmvbSwHNpE2IqpAKT2eRqzTJUgRyQiIlJKhEWx8ZxxtF57C9fU/Y6F+/vyR8IFfh1KXcBKLr9mts8991zWrVvHtm3bchyzbds21q1bx7nnnpvv41900UVZEm3w1oGfd955JCUl5XruUsPtIPzn0RimG2fjS3A3viTYEYmIiJQqOz0d+HzHTQA83eZpytmO5/sY6gJWsvmVbN9444243W7uuusu5s2bl+X+efPmcdddd+HxeLjxxhsLHOSZbDZbpq8lXU4rmwHCVryH9fA2zMho0no9FcQoRURESqfKleCtrSPZc7IOVSMP8VDL/JeTqAtYyeZXxtq9e3cGDx7Mxx9/zAMPPMDTTz9NrVq1APjvv/84fvw4pmly8803c+GFFwYs2P379/PHH38QExND48aNA3bcULUkzsx2ZfPIEXBhs7+xL38XgLQLR0OUPn8SEREpaq1bQblKkYxZ9zwfdr2V/nVmsGh/X36L75ExJjYWRtwLb05GXcBKIcM0Tb+bO/7www+8++677Ny5M9PtDRo04I477qB///4FjS+D0+lkyJAhrFy5khdffDHXY3s8HiyW4r1fz4KFaTzw8EnO/ukYhnfzmsX/u5nyJzZgNL0E640fYfi4KFJEREQCK/3/7Aebv8TNDaYRnxLLtb/8wEl3eQBee6UsffuE43abrF7jIuGwh5gqFtq3s2lGuxQoULKdLj4+noMHDwJQrVo1nzqV5IfH4+GRRx7hxx9/5Prrr+e5557LdXxiYmJAz++r6OjogJzb7fbuKpXdduwAgxt+wMjmr2KGlyf51tmYZQN7vYtKoK5XaaJrlj+6Xvmj65U/ul75U9Kv15I4kymTU5jS4hrqlt3Nd/8O4N2DzxZo5rqkX7NAC8b1io6OznNMQAqfY2NjA55gp/N4PDzxxBP8+OOPXHnllTz77LOFcp5Qsn4DOSba9cru5J4mkwDYXv8xahbTRFtERKQk8e5fEcm/cc9Rd+0tXFvvWy5+8DKod75Pj3e7zSx7X0jJENKrDD0eD48//jgzZ87k8ssvZ8KECcW+PMQXOfXatODm2TZPEW51sPRQNxJa9adm0YYmIiIiObBaDRpc2BGH53/Y108natHTJN8yE8Jyb4Oc0xqt0aPS6JDzZt1STBQo2V61ahWLFi1i9+7dnDp1iuwqUgzDYNq0afk+9pmJ9mWXXcZLL72E1WotSLjFRk69NgfW/4LWldZx0lmG5zc8zRMDVeclIiISahzdHsS281csSXux//4mjp6jchy7JM5k9Jis+VNCAjzw8Emef1YLKIs7v5Jt0zR54oknmDlzZkaCbRhGpmQ7/Xt/Fu6ll47MnDmTSy65hJdffrnUJNrg/egoJiZzKUmtqD2MaPY6AK9tfhhPuRr6iElERCQUhZclrc8zRM64i7A1n+BqfAmeGm2yDHO7vTPauXljkkm3rmghZTHmV7I9ffp0ZsyYQcuWLXnooYeYPn06CxYsYN68eezdu5effvqJWbNmMXjwYL/6bE+ePJkZM2YQFRVFvXr1ePvtt7OM6dOnD82aNfMn/JCTXZ3WyBFGxjtdAw9PtxlDpC2VFQmd+H73AJ4fq56cIiIiocpdvzvOZlcStmUW4QueJGXQ92DLvPN1bmu0AEwT4uO949q1LeSApdD4lWzPmDGDyMhI3nvvPaKjo5k1axYA9erVo169elxwwQX06NGDBx54gLZt21KzZv4qi/ft2wdAcnIy77zzTrZjatasWSKS7Zx7aRuMG2vw+lsmPaK+oWOVlaS4Ipn031ieH2vVR0oiIiIhLq3nKKy7f8d6ZAf2Fe/i6DIi0/05rdE6m6/jJDT5lWzv2LGDdu3aZWl34na7M8o9LrnkEt5//30+/PBD+vTpk6/jT5gwgQkTJvgTWrGSW53W6DEm48YafPfeIaKmTQQ37Gs6krceqqMZbRERkeIgMpq0Xk8S+eMDhK2YiqvRRXhimmTcndMarbP5Ok5Ck1+tPUzTpGLFihnfR0ZGApCUlJRpXN26ddm+fbv/0ZVgvtVpeYj89Xls7lO4q7em2uWDlGiLiIgUI+5GF+Nq0BvD4yJ8/pPgcWXcl75GKyeG4d1lUmu0ije/ku3Y2Fji4+Mzvq9RowYAW7ZsyTTu33//LVULG/MjrzotgHOtCwjbuRjTEkZa37Fg0bUUEREpVgyDtN5jMMPLYT20kbA1n2TcZbUajByR+yTa/cO1Rqu48yvZbtGiBf/88w9utxuAbt26YZomL7/8Mjt27ODkyZO8//77bNq0iebNmwc04JIir/qrcrbjjDp3HADOjrfjqdK4CKISERGRQDPLxpLW4zEA7L+/iZG4O+O+Ht29a7TOnuGOjfVu8641WsWfXzXbvXr14qeffuLXX3+ld+/eNG3alH79+jFnzhwuv/zy0we32XjggQcCFmxJklf91f3NXyUm4jDJUfXxnHd30QQlIiIihcLV4hpcW+dg2/Mn4QufJnXAR946EdJ3nyRLZ7IqVcJJTEwOcuRSUH4l25dffjkXXXRRphKRCRMm0KRJExYuXEhSUhL169dn6NChtGqlQqPsZNdLO127SqsYUO8bADyXPQu28CKOTkRERALKMEjrOxbrtCuw7V2ObfNMXC2uzrjbajXU3q+E8nsHSbs9c6/IsLAw7rzzTu68884CB1UaeOu0yNKNxG5JY0ybpwHYU+U6KtXpGIzwREREJMDMCrVwnD+M8N8mEr7kRVz1e0CUWo2UdH7VbEtgZFenNbTRu9Qr+y+pYVWodP3DwQtOREREAs7Z7lbcMU0xUpMIX1Ly2xxLAWa2JTDOrNNy7PubXn9/ACaYFz8JEeWDHZ6IiIgEkjWMtD7PEjl9IGFbZuNqfhXuul2DHZUUIp+S7d69e/t9AsMwWLhwod+PLwmy2479zDY+VqtBu9ZuIreOwWK6cDXohbvRRUGMWERERAqLp3ornG0GYV/3GeELnyX5lh8gLDLYYUkh8SnZTt8+XfIv5+3YydTOJ2z9l1gPrMe0lyGt11MZK5RFRESk5HF0G4ntn4VYkvZiX/Y2jgseDHZIUkh8Sra3bt1a2HGUSHlvx+5NuI0TB7AvfRWAtG4PYparVtShioiISFGyl/Fu5T5rOGGrP8LVtF+mrdyl5NACyULi23bsJm63SfjicRjOZNw12uJqPbCIIhQREZFgcjfsjathH+9W7gvGgMcd7JCkECjZLiS+bMceHw97Fy/GtmMRpsVGWp9nwNCPREREpLRIu/BJTHsZrAc3ELbhy2CHI4WgQN1I4uPj+f7771m1ahXx8fEAxMbG0qFDB66++mqqVq0akCCLo7y2YweIsCZzztb/35K9/WBtyS4iIlLKmOWq4uj2AOGLn8e+9DVcDfpgliu9+VNJ5HeyPWPGDMaOHUtqaiqmebpcYvv27fz++++8++67PPnkk1x77bUBCbS4yWs7doC7Gr9NlPMAnvI1cHS+p/CDEhERkZDjbDUQ2+ZZWA9uIPyX50m98q1ghyQB5FeyvWTJEp544gksFguXXnop/fr1o2bNmgDs37+fOXPmMG/ePJ588kmqVKlCjx49Ahp0cZDbduwADctt5+YGnwB4u4+ERRVhdCIiIhIyLFbS+o4l8vMB2P5ZiHXHYtwNegU7KgkQvwqE33nnHQzDYMqUKbz66qv07t2bpk2b0rRpU3r16sXEiROZMmUKAO+++25AAy4uvNuxZ9++z8DDk62fxWZx4WrYF/c5PYs2OBEREQkpnpgmONsPBiB88fPgTA5uQBIwfiXbW7dupX379rnOWPfo0YMOHTqwZcsWv4Mr7rLbjh3g5hbf06bSOsywKNIufCI4wYmIiEhIcXS+B0/5GlhOHMC+7J1ghyMB4lcZid1uJzY2Ns9xsbGx2O12f05RYpy5HfuRo1Ct7FHOWzUR0sDRZYR6aouIiIhXWBRpF44m8odhhK3+CLPzTRCWd74loc2vme1OnTqxYcMGPB5PjmPcbjfr16+nY8eOfgdXUlitBu3aGvTtbdAh8WUsacdxxzTD2famYIcmIiIiIcTdoBeucy7E8Lhwzx4FZu57dkjo8yvZfvDBBzl27BijR4/mxIkTWe4/efIkTz31FMePH+fBB7X9aDrrnuWEbf4BE4O0Pk+DpUCdF0VERKQESrtwNKYtAvPfP7FtmRXscKSA/Mr25syZw4UXXsiMGTOYP38+Xbt2zehGsm/fPn7//XeSk5O54oor+OmnnzI91jAMhg0bVvDIixuXg/BFz3r/2voGPNVbBzkgERERCUVmhZo4Ot9L+NJXsS95Cdc5PSGiQrDDEj/5lWxPmjQJw/B22jh16hTz58/PdtysWVnfjZXWZDts9YdYEnfhiapCWtcHgh2OiIiIhDBn+1sJ3zYbS8LfhC99zbvLtBRLfiXb48ePD3QcJZpxbG/GqmJHz1EQUT7IEYmIiEhIs9qxXjEB94fXYtvwNc4W1+Cp3irYUYkf/Eq2r7766kDHUaKF//oChjsNV53OuJpcFuxwREREpBiw1O9KarMrCdsyi/BFz5Jy49dgsQY7LMknvxZIiu+sO37BtvNXTEuYd6dII/uNbkRERETO5uj+CGZ4eazxmzk45wsWLDJZs9bE7VaXkuLCr5ntlJQUEhMTqVixIlFRp7cZT0pK4r333uPvv/+mevXq3HbbbdSpUydgwYYqt9tk/QZITUsjItykdStvuz+cqYT/+gLgrb0yK50T5EhFRESkODHLVGFj1ZGcu2csVTe/yd2LL+JwWgwxMTByhHc/Dwltfs1sT5kyhd69e7Nz586M2xwOB9dffz0ffPABS5Ys4csvv+SGG24gPj4+YMGGoiVxJgMGmtz3gMmjo05y3wPe75fEmdhXvo8l6T88ZavhOO/uYIcqIiIixcySOJNbJw1gY2JLyoWd5KEWLwGQkACjx3jzDQltfiXby5Yto06dOrRs2TLjth9++IHdu3dz3nnn8cEHH3DzzTeTmJjIxx9/HKhYQ86SOJPRY0wSEjLfnpAAb0/YjXX5ewCk9RwF9jJBiFBERESKK7fb5PW3TDxYeX7D07hNC5fW+okOlZdnjHljkkpKQp1fyfaBAweoW7duptsWL16MYRiMHz+erl27Mnr0aOrVq8dvv/0WkEBDTfovQPZMHjt3PFbTgbNOF9yNLirS2ERERKT4W73GlTGhtzWpOd/+ez0Ao859AZvhBCA+HtZvCFaE4gu/ku2kpCTKlSuX8b1pmqxZs4YmTZpQvXr1jNubNm3KgQMHCh5lCFq/gSwz2ul6VP2FC6rG4fTYWFd9tBZFioiISL4lHPZk+n7y1hEkplWkYfl/uKH+9Izbjxwt6sgkP/xKtmNiYti3b1/G9xs3biQpKYmOHTtmGmeU4CQzpxd2uCWVR1tOAOCTHYP5L7V+EUYlIiIiJUVMlcxp2nFnRd7aMhKAu5tMpnK4d9avcqWijkzyw69ku2nTpmzYsIGFCxdy8uRJpkyZgmEYXHjhhZnG7d69m9jY2IAEGmpyemHf1uh9apbZx4Hkary3/S79AoiIiIhf2rezEROT+bYZe67NWCx5f7PXiI2F1trrJqT5lWwPHToUgBEjRtCxY0d++eUXmjZtSufOnTPGHD58mK1bt9KiRYvARBpiWrciyy9A7TK7GdzwAwAmbnqU8pWj9AsgIiIifrFaDUaOyFwlYGJhwl+jAbiyzg88M3idt92whCy/ku127doxadIk2rdvzznnnMOVV17J22+/jcVy+nA//vgjZcqU4YILLghYsKEk6y+AyWMtxxNudfBnfBcWHriI+4cb+gUQERERv/XobjBurJFpgm/jsVbMjb8WgPOOPA8ed5CiE18YpmmWuH4xiYmJRXauJXHeriQtrIt5vdMInB4bd22YybVDz1Gj+TxER0cX6c+qJNA1yx9dr/zR9cofXa/80fXKvzOvWfoGekeOektZ2zQ8SrlPLsNIO05q7zG4Wv8vyNEGXzBeY9HR0XmO8WsHSTmtR3eDbl3BnPYpHIMD9Ybw2gPnaEZbREREAsZqNWjX9sxbKuPoch/hvzxP+NI3cDW+BCLzTvyk6PlVRiKZWa0GEV0HYjnvNipddY8SbRERESl0ztY34I5pipGWRPjS14MdjuTAp5nt3r17YxgGH330EbVr16Z3794+n8AwDBYuXOh3gMWFq8mlWDvfCPqITERERIqCxUZaryeJ+uombH99g/Pc6/BUa5n346RI+ZRsp/fUdrlcmb4XERERkeDx1GyPs9kVhG2ZTfji50j533QwVLgQSnxKtrdu3Zrr9yIiIiISHI4LHsb2zyKsBzdg2/g9rnMHBDskOYPe+oiIiIgUY2bZWBznDwfA/vvrkHYiuAFJJkq2RURERIo5Z9tBeKLrY0k+gn3ZO8EOR87gV+u/NWvWsHz5cnbs2MHx48cxDIMKFSrQsGFDzjvvPFq3bh3oOEVEREQkJ1Y7aT1HETnjLsLWfoqz1QDM6PrBjkrIZ7K9detWnnjiCbZs2QLA2fvhGIa35V2rVq0YN24cDRs2DFCYIiIiIpIbd/3uuOp3x7YrjvAlL5Ha/+1ghyTkI9nesGEDt956KykpKURGRtK9e3eaNWtGdHQ0pmmSmJjIli1b+O2331i/fj033HADn376Kc2bNy/M+EVERETk/6X1GIV19x/Ydv6KdddvuOtfEOyQSj2fkm23280jjzxCSkoKAwYMYNSoUZQtWzbbsSdPnmT8+PF89913PPTQQ/z0008ZM94iIiIiEnint3OvR8eag6i1dxrhSyaQXKczWMOCHV6p5lOyvWjRInbv3s1ll13G888/n+vYsmXLMm7cOE6dOsXPP//M4sWL87UJjoiIiIj4bkmcyetvmSQkeL8vZ7ubWX1nE310J2Hrp+Nsd0twAyzlfOpG8ssvv2CxWHjggQd8PvBDDz0EUCp2jxQREREJhiVxJqPHnE60AU64yvPWpvsAsPw2CZKPBik6AR+T7Y0bN1K/fn1q167t84Fr167NOeecw6ZNm/wOTkRERESy53Z7Z7SzM3PPNWxLakKY+wRhv79ZxJHJmXxKthMSEqhXr16+D16vXj3i4+Pz/TgRERERyd36DWSa0T6TBysvbXwcAPtf32BJ0O7fweJTsn3y5EnKlSuX74OXLVuWkydP5vtxIiIiIpK7I3lUh6w+0pH5+y7GwIP9l/FgZj8LLoXLp2Tb5XL51VHEYrHgdrvz/TgRERERyV3lSnmPeX3zQ7gt4dj+W4H17wWFH5Rkoe3aRURERIqh1q0gJib3Ma5yNXF2uA2A8LiXwJlaBJHJmXze1GbmzJnMnDmzEEMREREREV9ZrQYjR8DoMTmXh9w/3MB13lA8m7/HcnwfYWum4TzvriKMUnye2TZN068/IiIiIlI4enQ3GDfWyDLDHRsL48Ya9OhuQFgUjgu8LZntK6ZinDochEhLL59mtrdu1QpWERERkVDUo7tBt678/w6S3lru1q28M9/pXE374V7zKdZDf2H/4y3S+j4bxIhLF9Vsi4iIiBRzVqtBu7YGfXt7v56ZaANgWEjr+RgAto3fYknYHoQoSycl2yIiIiKlgKdme1yNLsYwPdjjXlQrwCKiZFtERESklEi74EFMaxi23X9g/fe3YIdTKijZFhERESklzIp1cLa5GYDwJS+B2xnkiEo+JdsiIiIipYjjvLswIypiOboD21/fBDucEk/JtoiIiEhpElEeR5fhAIT/OQlSjwc5oJJNybaIiIhIKeM893o8lc7BSEnEvuLdYIdToinZFhERESltrGGkdX8EgLC1n2Ic2xvkgEouJdsiIiIipZC7fg9cdc7HcDuxL3012OGUWEq2RUREREojw8DR4zFMDMK2z8Oyb02wIyqRlGyLiIiIlGBut8matSYLFnm/ut2nN7PxxDTB1fJaAMKXvAimJ1hhlli2YAcgIiIiIoVjSZzJ62+ZJCScvi0mBkaOgB7dvVu6O7reh23bT1gPbsC2fR6uJpcF7Pxut8n6DXDkKFSuBK1bkXUr+RJOybaIiIhICbQkzmT0mKxbsickwOgxJuPGehNus0wMjo63E/7HW9iXvoarQR+w2QNy/rwS/dJAZSQiIiIiJYzb7U10c/PGpNMlJc72g/GUqYIl6T/CNkwv8PnTE/0zE204negvics9tpJEybaIiIhICbN+A1kS3bPFx3vHARAWheP8EQDYl71doI1u8pvol3RKtkVERERKmCNH8z/O1fIaPJUaYKQmYV/5nt/nzneiX8Ip2RYREREpYSpX8mOcxUbaBQ8BELbmE4zj+/06tz+JfkmmZFtERESkhGndyrsYMTexsd5xZ3Kf0xN3rY4Ybgf2P97069x+JfolmJJtERERkRLGajUYOSL3jh/3DzeytuEzDNIueBgA2+ZZWOK35NqnOzv+JvollZJtERERkRKoR3eDcWONLIlvbCyMG2vk2H7PU70VziaXYmByatZEBgw0ue8Bk2ef834dMDD3biJ+J/olVMj22f7hhx9YvXo1GzduZPv27TidTsaPH88111wT7NBEREREioUe3Q26dSXfG8s4uo7Eun0BMcd/pyG/k0DXjPvO7tOd03nHjSVLn+3YWG+iXZr6bIdssv3GG2+wb98+oqOjiY2NZd++fcEOSURERKTYsVoN2rXN32Nc5Wozc/9Arqn+GSObT2T5ks54sGYa88Ykk25dc07c/U30S5qQLSN5/vnnWbx4McuWLWPgwIHBDkdERESk1Fi/Ad5Ydw8nnOVoUmEbl9X6McsYX9r3eRN9g769vV9LW6INIZxsd+nShZo1awY7DBEREZFS58hRSHJW5IO/hwIwrOmbhFtSsx0nuQvZZFtEREREgiO9Ld/0nTdxMKUa1aMO8r9zPstxnORMybaIiIiIZJLevi/NE8Hkrd5t3G9v9D7lw45ljClN7fsKImQXSBZEhQoVsFiC8z4iOjo6KOctrnS98k/XLH90vfJH1yt/dL3yR9cr/4J5zUaPSuOBh0/y039XcEuDj2lU/m+GNPyAN7d6d5l84rGyVKkSHrT4shOKr7ESmWwnJSUF5bzR0dEkJiYG5dzFka5X/uma5Y+uV/7oeuWPrlf+6HrlX7CvWYf28PyzBq+/ZeXNLSN567xh/O+cz1lwYhCD7qxOh/bJJCYmBy2+swXjevmS3KuMRERERESy1aO7wbdfGlz3WE8Ol2lHhDWNj29+u1T1yS4oJdsiIiIipVhe27FbrQbt2lmIutxbPhK2+XuMozuDEWqxVCLLSEREREQkb0vizCy7PMbEwMgRWXeH9NRsh+ucC7Ht/IXw398g9Yo3ijja4kkz2yIiIiKl0JI4k9FjMifacHo79iVxZpbHOLqNxMTA9vd8LAf/KqJIi7eQndn+5ptvWL16NQDbt2/PuG3FihUAtG/fnuuuuy5o8YmIiIgUV263d0Y7N9ltx+6p0hhX86sI2zwT+2+vkjrgQzBUv52bkE22V69ezYwZMzLdtmbNGtasWZPxvZJtERERkfxbv4EsM9pnS9+OvV3bzLc7ugzHtm0Otr3LsO7+A3e9roUXaAkQssn2hAkTmDBhQrDDEBERESlxfN1mPbtxZvmaOFv/D/uaT7AvfZWUuueDocrknOjKiIiIiJQyvm6zntM4R6e7MO1lsMZvxrZ9XuACK4GUbIuIiIiUMunbsecm1+3YoyrhaD8EAPvvb4DbGdgASxAl2yIiIiKljNVqMHJE7gsb7x9uZFoceTZn+8F4oipjObYH28bvAh1iiaFkW0RERKQU6tHdYNxYI8sMd2wsjBtr5L1LpL0MzvPu8f512WRwphRSpMVbyC6QFBEREZHC1aO7Qbeu3q4jR456a7RbtyLXGe0zpbYYgOfPj4k89R8Jcz6h0hV3+vzY0kIz2yIiIiKlmNVq0K6tQd/e3q++JstL4kwGDArjud9HAFB564fcOigp281wSjMl2yIiIiKSL2fuPjlv36X8c7wh5e3HuazCxznuPllaKdkWEREREZ+dvfukByuTt3pnt29q8AnR9iO8McnE7VbCDUq2RURERCQfstt98peDvdmU2IIoWwq3NXo/Y/dJUbItIiIiIvmQ/e6TBpO23g/A9fW+JDbioM+7VJZ0SrZFRERExGc57Sr5Z0IXVh3uQLjVwR2N3/V5l8qSTsm2iIiIiPgs590nDSZtvQ+Aq+t8T9s6e4o0rlClZFtEREREfJbb7pPrjrZn6aFu2CwuIlZMLuLIQpOSbRERERHJl9x2nzR7emu3bVt+xHL47yBEF1q0g6SIiIiI5FvOu0+2xOW6CNvf87H/8RapV74Z7FCDSsm2iIiIiPjFu/tk1tvTuozA+vcCbP8swHJwI55qLYs+uBChMhIRERERCSizckNcza4AwP77G0GOJriUbIuIiIhIwDnOH45psWHbvRTLf6uCHU7QKNkWv/Tv35/+/fsHO4yQNnbsWDp37sz+/fsL9Tz79++nc+fOjB07tlDPE6zziYhI8WRWrI2r5bUAhP/+Opilc/t21WwLq1ev5vvvv+evv/4iMTGRyMhI6tWrx4UXXsg111xDeHh4sEMsFTp37pzp+/DwcMqUKUOtWrVo2bIll156KZ06dQpSdFJYOnfuTNu2bXn77beDHYqISMA5zrsH26aZWPetxrr7d9z1ugU7pCKnZLsUc7lcvPLKK8ycOZPIyEjOP/98atWqxcmTJ1mxYgVvvPEGM2bMYOLEidSuXTvY4ZYKFSpUYMCAAYD355OUlMT27dv54osv+OKLL7j22mu5//77sdvtGY+JjY3lyy+/pGzZssEKW0REJFtmuao4Ww/EvmYa9j/eIqVuVzCy79FdUinZLsXefvttZs6cSfPmzZkwYQKxsbEZ97ndbj788EM++OADHnjgAaZNm0aZMmWCGG3pULFiRe64444st+/YsYNnn32W7777jlOnTvHMM89k3Gez2ahXr17RBSkiIpIPzo5DCdvwFdaDG7DuisN9To9gh1SklGwXMrfbzKb/ZPDf0e3Zs4fp06dTvnx5Xn75ZSpXrpzpfqvVyh133MHevXuZP38+n3/+OXfeeWeW45w4cYLJkycTFxfHyZMnqVevHjfddBMXXXRRpnFpaWl8++23zJ07lwMHDuB2u6lcuTJNmzZl8ODBNGrUKNP4uLg4vv76a7Zt20ZaWhq1atWiX79+DBw4EKvVmjHuxx9/5Pnnn+fJJ5+kQoUKfPLJJ+zYsYPy5cvzzDPPcPfdd3P55Zfz5JNPZon96NGjXHHFFTRv3pz33nsv4/ZTp07xxRdfsHjxYvbv309YWBgtWrRgyJAhtGnTJstxdu7cyeTJk1m7di2GYdCqVSuGDx/u08/BVw0aNOCNN95g0KBBzJs3j+uuu44WLVoA3hrqa665hssuu4wxY8ZkPObw4cN88skn/PHHHyQkJBAWFkblypVp164dw4YNy5gJHzt2LD/99BPfffcdixcv5ocffiA+Pp7KlStz+eWXc+utt2Kz5f1PxdatW/nxxx9Zs2YNhw4dwuVyUatWLS6++GJuvPHGbI9x9OhRPv30U37//XcOHTpEeHg4tWrVonfv3gwaNCjT2L///ptp06axdu1akpKSqFKlCt26deOOO+6gQoUKGePOvB7Dhw9n3LhxrF+/HsMw6Ny5Mw899BAVK1bkr7/+4t1332Xz5s1YrVZ69uzJgw8+SGRkZJY4165dy2effcbGjRtJTk6matWq9OnTh8GDBxMREZExbvXq1QwbNozbb7+dbt26MWXKFDZt2oRhGHTo0IH777+fGjVqZBqbfvwzy4iefPJJLr/88jyvuYhIcWCWqYKzzY3YV32I/c+3SKnfvVTNbivZLkRL4kxef8skIeH0bTExMHKEtxF8MM2ZMwePx0P//v2zJNpnuu2225g/fz6zZ8/Okmy7XC5GjBhBSkoKl156KSkpKSxatIgxY8Zw7Ngxrr/++oyxY8eOZdGiRTRs2JDLL7+csLAwjh07xp9//snmzZszJdtTpkzhk08+ISYmhp49e1KmTBnWr1/PW2+9xaZNm3jhhReyxLl48WKWL19Ot27daN26NadOnaJ169ZUr16dX375hUceeSRL7fmCBQtwu91ceumlGbclJSVxzz33sHPnTlq1asXVV1/NqVOniIuLY9iwYbzwwgv06HH6HfmOHTu48847SUlJoWfPntSuXZtNmzZx5513ZnkDUVDR0dEMHDiQKVOmsHDhwoxkOzupqanceeedHDhwgPPOO48ePXrgcrnYv38/c+fO5cYbb8xSdvLaa6+xYcMGevfuTVRUFEuXLuW9997jn3/+Yfz48XnG98MPP7B06VLatGnD+eefT1paGmvWrGHKlCls3ryZCRMmZBq/e/duhg0bxuHDh2ndujXdu3cnNTWVnTt3Mm3atEzJdlxcHE8++SSGYdC9e3diY2P5999/+fbbb1m+fDkffPAB5cuXz3T8AwcOMHDgQJo0acKVV17Jli1bWLBgAYcOHeLee+/l/vvvp1OnTvTv3581a9Ywe/ZsTNPM8sbsu+++45VXXqFcuXJ069aN6OhotmzZwscff8zq1auZMmUKYWFhmR6zZcsWPvvsM9q3b0///v3Zvn07S5YsYceOHXz++eeEh4dTvXp1br/9dj744AOqVatGv379Mh7fuHHjPK+3iEhx4uhwO2Hrv8R6aBPWnb/gbtAr2CEVGSXbhWRJnMnoMVlX3SYkwOgxJuPGBjfh/uuvvwDo0KFDruPq1atHTEwMCQkJHDp0iKpVq2bcd/jwYWrXrs17772XkWwMHjyYW265hUmTJtGzZ09iY2M5efIkixcvpmnTpnzwwQcZM9PR0dEcPnyY5OTkjGMuX76cTz75hM6dOzN+/PiMWUbTNHnppZeYMWMGixcvplevzL+ky5Yt4/XXX8+ygPCSSy7ho48+4rfffqNPnz6Z7ps7dy5hYWH07t0747aJEyeyc+dOHn/8ca666qqM2++55x6GDBnChAkT6Ny5c0bi/sorr2SUdVxyySUZ499++22mTZuW67X1R6dOnZgyZQpbtmzJddzKlSvZv38/AwcOZOTIkZnuS05OznaWedOmTXz22WcZ5UR333039913H7/88ku21/xst956Kw8//HCmTx5M0+SFF15g9uzZrF+/ntatW2fc98wzz3D48GFGjRqVpbNNfHx8xt+TkpJ49tlnqVChAlOnTqV69eoZ9y1YsICnnnqKqVOn8vDDD2c6xtq1a3niiSe48sorM2J56KGH+OOPP3jkkUd47rnn6N69O+B94zh48GDmzp3LPffck/EGdNeuXbz66qs0bNiQSZMmZZpB/+STT5gyZQpff/11lln4P/74g+eee46+fftm3Pbss88yd+5c4uLi6Nu3LzVq1OCOO+7ggw8+oHr16tmWD4mIlBhRlXC2vQn7iqne2u1zeoJROprilY5nWcTcbu+Mdm7emGTidgevBc6RI0cAMiXPOUlPvg4fPpzlvrvvvjvTrF5sbCzXX389DoeDBQsWAGAYBqZpYrfbsVgyv+SsVivlypXL+P7bb78FYNSoUZk+zjcMg2HDhmEYRsZxz3TBBRdk26kjfdZ63rx5mW7ftWsXW7dupUuXLhkJ1LFjx1i0aBEdOnTIlGgDVKpUiUGDBpGYmMjKlSsBOHjwIGvXrqVhw4aZEm3wJp5nPq9ASf9ZHDt2zKfx2XWSiYqKyrTAMt3111+fqW4/LCyMu+66C/B+EpKXatWqZUq0wftzu/Zab9un9OsG3sR+y5YttG3bNtsWkmfG8dNPP3Hq1CnuvffeTIk2QN++fWnSpAkLFy7McoxatWpxyy23ZIolPflt3LhxRqIN3rr3Xr164Xa7+ffffzNunzFjBm63m4ceeihTog1w0003ER0dne3rsW3btpkSbSCjLGTz5s1ZxouIlAaO9oMx7WWwJmzF+nfWf7dLKs1sF4L1G8hUOpKd+HjvuOy2OC0urFYr5557bpbb0+uat2/fDkCZMmXo0qULf/zxB7feeiu9evWiXbt2dOnSJctjN27cSGRkJLNnz872nOHh4ezevTvL7TmVVNSpU4fmzZuzbNkyjh07RsWKFYHTyfeZSfLmzZtxu904HI5MNdzp9u7dC3jLH7p168bff/8NkGm2Nl1UVBSNGjVizZo12cZV2Nq2bUuVKlX45JNP+Pvvv+natSvt2rWjXr16GDnUyWVXj37uueditVozfpa5cTqdfPPNNyxcuJB///2XlJQUzDN6qp75Zi094fSlleHGjRsBb4L+33//Zbnf4XBw7NixTD9f8Na5n/1c02essyvxSb8v4Yxf3vRzL1u2LNObhXQ2my3b12OTJk2y3Jb+BuLkyZNZ7hMRKRUio3G2vQX78re9tduN+pSK2W0l24XgyNHAjisMlStXZvfu3Rw6dIi6devmOjb9I/0qVapkur1ixYpZZqrBOwsMmZOKF154gY8//pj58+fzzjvvAFC2bFn69evHPffck7HI7Pjx47jdbj744IMc40lJScnxnNm59NJL2bx5MwsXLmTAgAGYpsnPP/9M+fLl6dq1a8a448ePA7BhwwY2bNiQ5/nTn190dHS243KLyV/pP4uczpmubNmyvP/++0ydOpWlS5fyxx9/AN5PMm6++eaM9oJ5xWu1WqlQoQKnTp3KM7bHH3+cpUuXUqdOHfr06UN0dDQ2m42TJ0/y1Vdf4XA4MsamX7uYmJg8j5v+c0n/1CMnKSkpmZLt7LrnpM+853afy+XKcu6PP/44zzjPlNvx3W53vo4lIlKSONrfSti6z7Ae+Qfb9nm4mlwW7JAKnZLtQlDZxxzL13GF4dxzz2XNmjWsWrUq19nFf//9l4SEBGJiYrKUnBw7dgyPx5Ml4T561Psu4swFeBEREdx9993cfffd7N+/n9WrVzNr1iy++uor0tLSGDVqFOBNUgzD4Oeffw7UU6Vv37688cYbzJs3jwEDBrB27VoOHjzI1VdfnamcIj1BuvHGG7nvvvvyPG7680tMTMz2/vTrEEgrVqwAoFmzZnmOrVatGmPGjMHj8fDPP/+wfPlyvv76a1555RXKly+fpWPM0aNHs7zxcrvdJCUl5fnGYfPmzSxdupTOnTszceLETOUkGzdu5Kuvvso0Pr3EJiGvj4A4/XP5/PPPadCgQZ7jAyn93IsWLVLrSxGRQIiogKPdrYT/OQn7n5NJO+ci1m+0hlzXtkAq+XP3QdC6lbfrSG5iY73jguWyyy7DYrHwww8/5JgswukZvSuuuCLLfW63O2Oh5ZnWrVsH5NxRoUaNGlxxxRV89tlnREVF8dtvv2Xc16JFC5KSktizZ08+nk3uKlasSOfOndm4cSN79+7NKCG5+OKLM41r3rw5hmFk+5yyk16KsH79+iz3JScnZ5SZBEpiYmJG0np2PXBuLBYLjRs35uabb+a5554DyHTN06X/3M70119/4Xa78+yOsW/fPgC6dOmSpW47u+M2b94cOP3mITfpJUK+/lwCKf3c6eUkhcFiseDxeArt+CIiocbZ7hbM8ApYju5kyn0/cd8DJs8+Z3LfAyYDBposiStZ27or2S4EVqvByBG5vyu7f7gR1HdudevW5frrrycpKYmHH344y+JHj8fDhx9+yLx586hVq1aWbgvp3nnnHZxOZ8b38fHxfP3119jt9oyEMDExkR07dmR5bFJSEg6HI9Pscnq7wHHjxpGUlJTlMUeOHGHXrl35fr7pCyVnzZrF4sWLqVGjRpZa68qVK9O7d2/++usvPvvss0z1xuk2btxIamoq4J05btu2Lf/880+WBZjTpk3jxIkT+Y4zJzt37uT+++/nyJEjXHbZZXnObO/cuTNjEeyZ0mfbs1sg+fXXX2fqAuJ0Onn33XcBMrWly061atWArG88du7cySeffJJlfPPmzWnevDlr165l5syZWe4/M47LL7+cqKgo3n33XXbu3JllbGpqaqElw9deey1Wq5VXX32VgwcPZrn/xIkTbNu2rUDnKF++fKbnKyJS4oWXY1uVwQDcWH0KVuN0+V5617aSlHCrjKSQ9OhuMG4sWfpsx8Z6E+1g99kGGD58OKdOnWL27Nlcd911dOnShVq1anHq1CmWL1/O3r17qV27Nq+++mq2H6FXqVKFlJQUbrrpJrp165bRZzspKYkHH3wwY0FYQkICt9xyC40aNaJhw4bExMSQlJTE0qVLcblcmRL5888/n9tuu40PP/yQAQMG0LlzZ6pVq0ZSUhL//fcf69ev56677qJ+/fr5eq7dunWjbNmyTJ8+HZfLxfXXX5/tQsFHHnmEPXv2MGnSJObOncu5555L2bJliY+PZ8uWLezdu5c5c+Zk1Jg//PDD3HnnnYwdO5a4uLiMPttbtmyhTZs22c7q5ubYsWMZizPTSzi2bduWsaDwuuuu86nEZcWKFbz11lu0atWKOnXqUKFCBfbt28fSpUsJDw/Ptma7RYsW3HTTTfTp04fIyEiWLl3K7t276dmzZ55t/9KT50WLFnHkyBFatGjBoUOH+O233+jatSuLFy/O8phnnnmGYcOGMWHCBObNm0fLli1xOBzs3LmT7du3M3/+fMBbn/7cc8/xxBNPcPPNN9O5c2fq1q2Lw+HgwIEDrF27llatWvH666/neV3yq0GDBjzyyCO8/PLL3HDDDZx//vnUrFmT5ORk9u/fz9q1a+nXrx+PPfaY3+do3749ixYt4tFHH6Vx48ZYLBYuuOCCgPdpFxEJFW63yaPfD2Jam2nULbuby2r9yOy9/TONeWOSSbeuJaOkRMl2IerR3aBbV0JyB0nwdlIYPXo0ffv25YcffmDDhg0sWbKEyMhI6tWrx9VXX80111yTaYe8sx//5ptvMmXKFObOncvJkyepW7cuDz30UKZ64OrVqzN06FBWr17NypUrSUpKomLFijRv3pxrrrmG888/P9Nx77zzTtq0acPXX3/NqlWrOHHiBBUqVKBGjRrcfvvtWco/fBEeHk6vXr2YNWsWQJZWfenSezl/++23LFy4kJ9//hmPx0PlypVp1KgRt912W6YWcA0aNGDq1KlMnjyZZcuWsWzZMlq3bs3UqVP5/PPP851sJyUlZSwOtdvtlClThtq1azNo0CAuueQSOnXqlGvZT7rzzjsvIxH99ddfSUlJISYmht69e3PzzTdn+2blgQceYNGiRcyaNYtDhw5RuXJlhg4dyq233prn+axWKxMnTmTKlCksW7aMLVu2UKtWLUaMGEGXLl2yTbbr1KnDxx9/zCeffMLSpUv56quviIyMpHbt2gwZMiTT2K5du/LJJ5/w2WefsXLlSlasWEFkZCQxMTFcfvnlOf48A6F///40btyY6dOns27dOpYuXUrZsmWpWrUqAwcO5LLLCra458EHHwS8O0ouXboUj8dDbGyskm0RKbHWb4A9h8owbcdtjGz+Knc2foe5//XDZZ5uJVwSuralM8zsPisv5nxJRgpDdHR00M5dHOl65V9hXLP07dq///77jK3ESwq9xvJH1yt/dL3yR9cr/0rqNVuwyFujHWFN5qc+F1Mp/CjPrBvLzD3XZhr39FMGfXv7PkEZjOuVV3cwUM22iIiIiBSh9G5sqe4oPvz7dgDubPwONsOR7bjiTsm2iIiIiBSZM7u2fbv7Bg6nVqZG1H6uqD0rY4wvXdvcbpM1a00WLPJ+DebO3LlRsi0iIiIiRebMrm2p7kg+/uc2AG5v9B42w9vhLK+ubUvivG0Cz2wb2PfSYyHZxUTJtkgpN2bMGJYtW1bi6rVFRCR0ebu2GcTEeGe3j6RVplaZ/xjY/EfGjc29a9uSOJPRYzJ3ewOIj/eEZNtAJdsiIiIiUuR6dDf49kuDl16JYn89bxeqB9q9S49u7hwf43abvP5W9sl0esuPNyaFVkmJkm0RERERCQqr1aBdW4P6A/6HGRmNNWkvti0/5jh+/QayzGifLb1tYKhQsi0iIiIiwRUWhaO9d3bbvvxt8LiyHXbkqG+H83VcUVCyLSIiIiJB52xzI2ZERSzH9mDbOifbMb62AwyltoFKtkVEREQk+OxlcHRIn91+BzxZa7fPbBuYE1/aBhYlJdsiIiIiEhKcbQZhRlTAkvgvtm0/Zbn/zLaBZzP+/+a82gYWNSXbIiIiIhIa7GVwtB/s/WsOs9tntg08U9VYS55tA4PBFuwARERERETSOdvchH3Vx1iO7sS2fR6upv2yjOnR3aBbV2/XkSNHvTXaPXtU5PjxY0UfcB40sy0iIiIioSO8LI72twAQtvxtMD3ZDktvG9i3t/drKJWOnEnJtkiI+PHHH+ncuTM//phzf1EREZHSwNn2Zszw8liP7MC2/edgh1MgKiMphTp37pyv8cuWLSukSPz3448/8vzzz+d4f6NGjfj000+LMKK87d+/n2uuuYbLLruMMWPGBDscERGR0BVeDke7Wwj/cxJhy6bganwxGMVzjljJdil0++23Z7ntq6++4uTJk9neF8o6dOhA69ats9xeuXLlIERTMD179qRly5ZUqVIl2KGIiIgEnbPtzdjXTMN65B+sfy/A3fjiYIfkFyXbpdAdd9yR5bY5c+Zw8uTJbO8LZZ06deKWW24JdhgBUbZsWcqWLRvsMEREREJDRHlvwr1sCvbl75DS6KLT/f2KkeI5Hy9FYv/+/XTu3JmxY8eya9cuHnvsMS666CI6d+7M/v37M92fnc6dO3PPPfdkuf3UqVO899579OvXjx49etCnTx/uv/9+1q1bF/Dn8N5779G5c2dWr16d5b7saqTPfE579+7lscceo2/fvvTs2ZPhw4fz999/Z3ueo0eP8sYbb3D99dfTo0cPLrroIm677TY+//zzjHNdc801APz000907tw54096bLnVbK9fv54HH3yQTp060b17d2644Qbee+89UlNTs4xNv+5Hjhxh7NixXHzxxfTo0YPbb7892+sgIiISqhxtb8YMi8KasBXrrl+DHY5fNLOdHdMEV0r+H+awgzO5EAI6iy2ySN/Z/ffffwwdOpQGDRrQr18/kpKSCAsLw+l05vtYSUlJ3HPPPezcuZN27dpx9dVXc+rUKeLi4hg2bBgvvPACPXr0KIRnkT8HDhxg6NChnHPOOVx++eXs27cvI8bp06dnKlPZvXs3w4YN4/Dhw7Ru3Zru3buTmprKzp07mTZtGoMGDaJx48bccMMNfPXVVzRq1Iju3btnPL569eq5xrJo0SLGjBlDWFgYl112GWXKlGH58uV88MEHLFu2jClTphAeHp7pMSdPnuSuu+6ibNmyXHrppRw9epRFixYxcuRIPv74Yxo0aBDYCyYiIlIYIivibHMj9pXvY1/2Din1exa72W0l22czTSK/GoR1/9p8P9QFFEURgLtGO1Ju+KzIXmwbNmzg9ttvz1Jisn///nwfa+LEiezcuZPHH3+cwYMHk5iYCMA999zDkCFDmDBhAp07d86SPOZkxYoVpKWlZbn9mmuuKVDd9tq1a7n33nszlai8++67fPTRR8yZMyfT7c888wyHDx9m1KhR9O/fP9Nx4uPjAWjcuDFly5bNSLZ9Ldc5deoU48ePx2q18t5779GpUycSExO55557GDNmDAsXLuTzzz/ntttuy/S4v//+m2uvvZaHHnoIi8X7AVaHDh144YUX+Pbbb3nsscf8uSwiIiJFztl+MGFrP8N6cAPWPX/irtsl2CHli8pIslW83jEVtsqVKzN48OACH+fYsWMsWrSIDh06cNVVV2W6r1KlSgwaNIjExERWrlzp8zFXrVrFBx98kOXPkSNHChRrjRo1uOmmmzLddsUVVwCwefPmjNs2bdrEli1baNu2bZZEGyA2NrZAccTFxXHy5Ekuv/xyGjVqlHG7xWJh+PDhWK1W5syZk+VxkZGRDBs2LCPRBrjsssuwWq2Z4hcREQl1ZlRlnOdeB/z/rpLFjGa2z2YY3lljP8pIKlasyLFjxwIf09mKuIykUaNGhIWFFfg4mzdvxu1243A4eO+994iMjCQl5fR13rt3L+Aty+jWrZtPxzx79jlQGjVqlClRhdOJ88mTJzNuS09cO3XqFPAYALZt2wZAu3btstxXrVo1atasyZ49ezh16hRlypTJuK927dpERUVlGm+z2ahUqVKm+EVERIoDZ4fbCNvwJdb/VmL5bxWeWh2CHZLPlGxnxzAgLCrvcWc/zF4GwhyFEFBwVapUKSDHOX78OOAtS9mwYUOO485MwIPlzMQ1nc3m/XVxu90Zt6UnrjExMYUSx6lTp4CcfwaVK1fONtnOLn4Aq9WaKX4REZHiwCxXDVeLawjb8BX25e+SqmRbSoP0md/skrfsZk/TE8Abb7yR++67j+jo6Iya7WDEmJ7IFkS5cuUASEhIKPCxspN+zY4ePZrt/em355Rci4iIlBSOjkOx/fUttt1LsRz8C0+1c4Mdkk9Usy1+yy3RTC9/OFPz5s0xDIO//vqr0GNLl98Y86t58+aAd6FmXqxWKwAej8fn4zdp0gSANWvWZLnv0KFD/Pfff9SsWVPJtoiIlHhmhVq4mnnXT9mXvxvkaHynZFv8VqZMGerWrcv69esz6q3BO2P89ttvZxlfuXJlevfuzV9//cVnn32GaZpZxmzcuDHb3tH+Sk+G586dmynJ/euvv/j5558DcvzmzZuzdu1aZs6cmeX+9G4k4E38DcPg0KFDPh+/e/fulC1bljlz5rBz586M203TZPLkybjdbvr161eg5yAiIlJcODrdiYmBbcciLAkFnzQrCiojkQL53//+x4QJE7jjjjvo1asXpmny559/0qxZs2zHP/LII+zZs4dJkyYxf/58mjdvTtmyZYmPj2fLli3s3buXOXPmEBEREZD4WrZsSatWrVi1ahVDhw6lbdu2HDx4kLi4OLp168aSJUsKfI5nnnmGYcOGMWHCBObNm0fLli1xOBzs3LmT7du3M3/+fACioqJo1qwZ69at45lnnqF27doYhsGll16aY6/tMmXK8PjjjzNmzBhuv/12LrvsMqKioli5ciVbt26lefPmDBo0qMDPQUREpDgwK9XH1eQSwrbNJWzFu6T1ezXYIeVJybYUSP/+/XG5XHz11VfMmjWLKlWq0K9fP4YMGZJtR5EKFSowdepUvv32W3755Rd+/vlnPB4PlStXplGjRtx2221UqFAhoDG+/PLLvPHGGyxdupQdO3bQqFEjXnnlFRISEgKSbNepU4ePP/6YTz75hKVLl/LVV18RGRlJ7dq1GTJkSKaxzzzzDK+//jq///47J0+exDRNWrdunevGNr1796Zy5cpMmzaNBQsWkJKSQvXq1bntttu4+eabfe5JLiIiUhI4O91F2La52LbNw3H+CMxK9YMdUq4MM7vP8v+vvTuNiuJK+wD+bxFCGtxA3BgiHkwhxhAiYJBAQFFx1AxGMerMEA1BjdtBjY4kaqLOEOJ80KjBiaiJR8cNwkuYKIpHENwQCK5EMo4bS6PCgLLIyNb1fnC6B+xGQao3+P/O8cu91befeijKh+rb95o4XX/priX6+MJfR8J8tR1z1jbMV9swX23DfLUN89V2zFnLLBMXoevNFNQPnYza8VEADJOvXr16PfcYztkmIiIiIpNS99Y8AEDXvJ8gqygycDTPxmKbiIiIiEyKst/raBjoA5nYCIvsnYYO55lYbBMRERGRyanz+hgA0DX3/yB7pJv9LqTAYpuIiIiITI7S3h0Njr6AqAQeVxo6nBZxNRIiIiIiMkmP390C2X/KIXYfYOhQWsRim4iIiIhMk7klRHPjLbQBTiMhIiIiItIZFttERERERDrCaSREREREZJQaG0VcvgKUlQO2NsAbroCZmczQYbUJi20iIiIiMjrpp0R8vVVEaZNV/ezsgCWLAb93TKfg5jQSIiIiIjIq6adErPq8eaENAKWlwKrPRaSfEg0T2AtgsU1ERERERqOx8ckT7WfZ/I2IxkbTKLhZbBMRERGR0bh8BRpPtJ9WUvLkOFPAYpuIiIiIjEZZubTHGZpRF9tXrlzBnDlz4OHhATc3N7z//vtISkoydFhEREREpCO2NtIeZ2hGuxrJ+fPnERYWBgsLC0ycOBFWVlY4fvw4li5dinv37iE0NNTQIRIRERGRxN5wfbLqyLOmkvTp8+Q4U2CUT7YbGhqwZs0ayGQy7Nu3D3/+858RERGBxMREODo6YuPGjVAoFIYOk4iIiIgkZmYmw5LFz17aL3yRzGTW2zbKYvv8+fMoKCjApEmT4OLiom7v1q0bPv74Y9TX1yMhIcGAERIRERGRrvi9I0Pkehns7Jq39+kDRK6XmdQ620Y5jSQrKwsA4OPjo9GnasvOztZrTERERESkP37vyODzNriDpC7cuXMHADBw4ECNPjs7O8jlcuTn5+s5KiIiIiLSJzMzGYa/aego2scoi+3q6moAT6aNaGNtbY2qqqoWX9+rVy+dxNUahnxvU8R8tR1z1jbMV9swX23DfLUN89V2zFnbGGO+jHLONhERERFRR2CUxba1tTUAtPj0urq6usWn3kRERERExsIoi21HR0cA0Dovu7S0FDU1NVrncxMRERERGROjLLY9PT0BAGfOnNHoU7WpjiEiIiIiMlZGWWyPHDkSDg4OOHz4MPLy8tTtVVVV+Pbbb2Fubo7JkycbLkAiIiIiolaQiaIoGjoIbVrarl2hUGDlypV62a79ypUr2Lp1Ky5evIiGhgYIgoDZs2djwoQJrR6jrq4OMTEx+Mc//oG7d++iR48eGDVqFJYsWQJbW1sdRq9/7cmXKIo4deoUUlNTceHCBRQXF6OhoQEDBw7EhAkT8OGHH+Kll17Sw1nojxTXV1MVFRWYNGkSSkpK4OPjg127dkkcseFJlbOysjJs374daWlpuHv3LuRyORwdHREUFITf//73Oope/6TI1/3797Fjxw6cO3cOxcXFkMvlGDhwIKZPn453330XZmZmOjwD/UlMTEROTg5yc3Nx/fp11NfXIyoqClOmTGnTOEqlEvv27UNsbCzy8/Mhl8vh7e2NpUuXwsHBQUfR658U+fr5559x4sQJZGVlQaFQoKamBvb29ggICMC8efPQvXt3HZ6Bfkl1fTVVV1eHadOm4ddff8WgQYNw7NgxCSM2LCnzVV1dje+++w7Hjx9HYWEhzM3N4eDggICAACxatEgH0WsyyqX/AMDLywv79+/Hli1bkJSUpP6PYvny5S9cjLRFS8X+0qVLce/evVYV+0qlEvPnz8eZM2fg5uaGcePGIT8/H3FxccjIyEBsbCxsbGx0fi760N581dXVYe7cubCwsMCIESPg4+ODuro6nDlzBps2bcKJEyewd+9evPzyy3o6I92S4vp62vr169XLZnZEUuUsLy8PoaGhqKyshJ+fHwIDA1FTU4ObN2/i5MmTHabYliJfhYWFmDZtGh4+fAgfHx+MGjUK1dXVSElJwcqVK5GZmYmoqCg9nI3ubd68GQqFAr169UKfPn2gUCheaJzPP/8ccXFxePXVVxESEoKSkhIcPXoUZ8+exaFDh9TfSTJ1UuQrPDwcDx48gLu7O4KCgiCTyZCVlYWdO3ciOTkZBw8eRO/evXUQvf5JdX01FR0djYKCAgmiMz5S5au4uBizZs1CYWEhvL294efnh7q6OhQUFCA5OVlvxTZE0lBfXy+OGTNGHDZsmHjt2jV1e2VlpThu3DjxtddeE4uKip47zg8//CAKgiAuW7ZMVCqV6vb9+/eLgiCIa9as0Un8+iZFvurq6sRt27aJDx8+1GifN2+eKAiCuGPHDp3Er29SXV9NHTt2TBQEQfz73/8uCoIghoaGSh22QUmVs6qqKtHf31/08vIS8/LytL5PRyBVvr744gtREARx9+7dzdorKipEf39/URCENl+rxurs2bPqc9m+fbsoCIIYHx/fpjEyMjJEQRDEP/zhD2Jtba26PS0trcP9XkqRr+3bt4v37t1r1qZUKtXX3dq1ayWL19CkyFdTly9fFl1cXNT3/MDAQKlCNQpS5Ku+vl6cMmWK6OrqKmZkZGjt1xejnLNtaOfPn0dBQQEmTZoEFxcXdXu3bt3w8ccfo76+HgkJCc8dJy4uDgCwbNkyyGT/21p0xowZcHBwwE8//YTHjx9LfwJ6JkW+zM3NMX/+fPTo0UOjfd68eQCA7Oxs6YM3AKmuL5Xy8nKsXbsWQUFB8PPz00XIBidVzvbv34/i4mJ88sknGDJkiEZ/165G+2Ffm0iVr8LCQgDQuK66d++O4cOHAwAePHggYeSG4+3tDXt7+3aNobrnh4eHw8LCQt3u5+eHESNG4MyZMyguLm7XexgLKfI1d+5c9O3bt1mbTCbDggULAHScez4gTb5UamtrsXLlSri7u3eYT+KeJkW+kpOTkZubi9DQUHh5eWn06/N+z2Jbi6ysLACAj4+PRp+q7Xk3gdraWly+fBmDBg3SuGBkMhm8vb1RU1OD3NxciaI2HCny9SyqX4iOMjdU6nx98cUXMDMzw6pVq6QJ0AhJlbOkpCTIZDIEBgbi1q1b2Lt3L3bs2IGUlBTU1dVJG7QBSZUvQRAAAOnp6c3aKysrcfHiRdjZ2WHw4MHtDbfDyMzMhFwuV/8h0pSvry+A//1sqGUd7Z4vtY0bN+Lu3buIjIxs9iCPmktKSgIAjB8/Hnfv3sWBAwcQExODo0eP4tGjR3qNpWM8xpHYnTt3AEDrWt52dnaQy+Va1wBvqqCgAEqlssX5ear2O3fuwMPDoz3hGpwU+XqW+Ph4AMDbb7/9wmMYEynzlZiYiOPHjyM6Oho9evRocSMoUydFzurq6nD9+nXY2Nhg79692Lp1K5RKpbrfwcEB0dHRcHZ2ljR2Q5DqGvvoo4+QmpqKqKgonD59Gs7Ozuo525aWlvjmm29gaWkpdfgmqaamBqWlpRAEQWuRqPpZtOde2Fl0tHu+lLKzs7Fnzx5ERETglVdeMXQ4Ru2XX34B8OSLuF999VWzByo2Njb4+uuv8dZbb+klFj7Z1kL1JbOWdqm0trZ+blGj6lfthqltjKbvZcqkyFdL0tPTcejQITg5OWHatGkvHKMxkSpf9+/fR2RkJCZNmoQxY8ZIGqOxkSJnFRUVaGxsxMOHD7Ft2zasWLEC586dw6lTp7BgwQIUFRVh/vz5qK2tlTx+fZPqGuvduzcOHToEX19fnD59Gjt37sTBgwdRVVWFyZMna52K01m19p7fUf8glkpeXh6io6Nha2uLsLAwQ4djVGpqavDpp5/Czc0NISEhhg7H6JWVlQEAIiMjMWvWLKSnpyMjIwOrV69GVVUVFi5ciJKSEr3EwmKbjNaVK1ewdOlSdOvWDZs3b242B5KA1atXo2vXrh16+oiUVE+xGxsbMXPmTISGhsLW1hZ9+/ZFeHg4xo8fD4VC0aGWz2qv/Px8zJw5E+Xl5di3bx8uXLiA9PR0LFy4ENu2bcPs2bPR2Nho6DCpgygsLMTcuXPR2NiIjRs3dpjVuqSyYcMGlJSU4Msvv0SXLizfnkf878rW/v7+WL58Ofr16wcbGxuEhIRg1qxZqKqqwg8//KCXWPjT0uJ5TyCqq6tbfGKkoupv6cm1qr2lpyCmRIp8Pe3q1av46KOP0KVLF+zcuROvvvpqu+M0FlLkKyEhAadOncLnn3/eKf5DkvJ3EgBGjx6t0a9q6wjfo5DqdzIiIgLFxcX49ttv4eHhASsrK/Tr1w9z587FH//4R1y8eBFHjhyRNHZT1dp7flvvhZ1FYWEhPvjgAzx48ABbtmzR+oW2ziwzMxMHDx5EeHg4Bg0aZOhwTILqPmgM93sW21qo5lNrm1tXWlqKmpoarXMhm3JwcECXLl3UcyefpmrvCGuuSpGvpq5evYrQ0FAolUrs2rULrq6uUoVqFKTI17Vr1wA8WfXA2dlZ/S8gIAAAcObMGTg7OyMoKEja4A1EipzJ5XL1ygfaNstQtXWEaSRS5Ku6uhoXLlyAk5MT7OzsNPpVcx2b7vLbmcnlctjZ2aGoqEjr037Vz6It98LOQlVol5aW4uuvv8aoUaMMHZLRUf2e/fWvf212z1d9x+T27dtwdnY2+e+ASUn1R4kx3O9ZbGvh6ekJ4EnB8jRVm+qYllhaWsLV1RW3b9/WWIxdFEWcO3cOcrkcw4YNkyhqw5EiXyqqQruxsRE7d+7EG2+8IV2gRkKKfL355psIDg7W+Kfa8Klfv34IDg7G2LFjJY7eMKS6xlRPy27cuKHRp2qTankuQ5IiX/X19QBaXtqvvLwcADi9q4kRI0agpqYGFy5c0Og7ffo0gNbfCzuLpoX2pk2bOvz3T16UIAha7/nBwcEAnnxiEhwcjMmTJxs2UCNiVPd7va3obULq6+vFgICAZ24IUVhYqG6/f/++eOPGDbGysrLZOJ1pUxsp8nX16lXRw8NDdHNzE3/++We9xa9vUuVLm8LCwg63eYYoSpeznJwcURAEceLEiWJFRYW6vaSkRPT19RWHDBki3rp1S/cnpGNS5SswMFAUBEGMjY1t1l5RUSGOHz9eFARBPHv2rG5PxgCet4lGWVmZeOPGDbGsrKxZe2fa1KapF81XQUGB6O/vLw4dOlRMTk7WR6hG4UXz1ZKOuKlNU+25voYNGyaOHDmy2eZJVVVVYlBQkCgIgnju3Dmdxq4iE8X/ziCnZlra6lihUGDlypXNtjqOiIhAQkICoqKiMGXKFHW7UqnEnDlz1Nu1e3p6oqCgAMePH4e9vT3i4uI6zHzb9ubr4cOHGDduHCoqKuDr66v1iXa3bt0we/ZsfZ2STklxfWlTVFSEgIAA+Pj4YNeuXbo+Db2SKmdfffUVvv/+e/Tv3x+jRo1CQ0MDUlJSUFZWhmXLlqk3UTJ1UuQrPT0dCxYsQENDA0aOHAkXFxdUVlYiNTUV5eXlCAwMxJYtWwxxepKLi4tDTk4OAOD69ev45ZdfMHz4cPW0D3d3d/WKSFu3bsU333yDRYsWYfHixc3GWb16tXq7dj8/P5SWliIpKQlWVlY4ePBgh5lvK0W+Ro8eDYVCATc3N61rwgPQyK+pkur60sbZ2RmDBg3qUF/ulipfe/fuxV/+8hf07NkTY8eOhYWFBdLS0qBQKDB9+nSsX79eL+fDdbZb4OXlhf3792PLli1ISkpCQ0MDBEHA8uXL1R/VP0+XLl3wt7/9DTExMUhMTMTu3bvRs2dPBAcHY8mSJR2m0Aban6/q6mpUVFQAePJxq+oj16bs7e07TLEtxfXV2UiVs4iICAiCgH379iEhIQEymQwuLi5Yt25dh5l2A0iTLz8/Pxw4cAC7du1CTk4OsrOzYWFhAScnJyxcuBAzZ87U8VnoT05OjsaumhcuXGg2JaQ1y4+uX78egiAgNjYWe/bsgVwux9ixY7F06dIOtS6yFPlSTbG8dOkSLl26pPWYjlJsS3V9dRZS5SskJAT29vbYtWsXjhw5gsbGRgwePBjz58/Xa775ZJuIiIiISEf4BUkiIiIiIh1hsU1EREREpCMstomIiIiIdITFNhERERGRjrDYJiIiIiLSERbbREREREQ6wmKbiIiIiEhHWGwTEREREekIi20iIiIiIh3hdu1ERDrk7OzcpuPt7e2RmpqKkJAQZGVlISUlBb/5zW90FJ3ufPrppzh69ChSUlJga2vb5tdfu3YN7733HpYvX445c+boIEIiIv1gsU1EpEPvvfeeRltOTg4KCgowZMgQuLi4NOvr1auXvkLTmX/+85/48ccf8eGHH75QoQ0AQ4cOxejRoxETE4Np06ahZ8+e0gZJRKQnMlEURUMHQUTUmURERCAhIQGLFi3C4sWLtR5TXFyM//znP3jllVdgbm6u5wjbZ/78+Th9+jTS09NfuNgGgEuXLmH69OkICwvDihUrJIyQiEh/OGebiMgIDRgwAE5OTiZXaN+9exdpaWnw8fFpV6ENAG5ubhg4cCDi4+NRV1cnUYRERPrFYpuIyAiFhITA2dkZRUVFzdqdnZ0xevRoNDQ0IDo6GmPHjoWrqyt++9vfIj4+Xn1cRkYGQkJCMHz4cHh6euJPf/oTHjx4oPW9GhoasH//fkyfPh3Dhw+Hq6srgoKCsHv3bjQ0NLQp7vj4eCiVSkycOFFr//Xr17F8+XIEBATg9ddfh5eXF4KCghAZGYmSkhKN4ydOnIgHDx7gxIkTbYqDiMhYsNgmIjJBS5Yswffffw9BEODp6YmioiJ89tlniI+Px7FjxxAWFobGxkb4+Pjg5ZdfRmJiIhYuXIinZw4+fvwYoaGhWLduHe7cuQM3Nzd4e3ujtLQUUVFRWLx4MZRKZavjOnnyJABgxIgRGn25ubkIDg7GTz/9BCsrKwQEBMDNzQ0NDQ3Ys2cPbt++rfEa1ThpaWltyA4RkfHgFySJiEyMQqGAlZUVjh8/DhsbGwDA+fPnMWvWLGzatAn19fWIjo6Gv78/AKC6uhozZsxATk4OMjMz4eXlpR5rw4YNyMzMxIQJE7B+/Xp069ZN/Zply5YhNTUVhw4dwsyZM58b16NHj5CXl4c+ffqgb9++Gv179+5FbW0tVq5cidDQ0GZ9N2/eVL93U6+//jq6dOmC7OzsVueHiMiY8Mk2EZEJ+uyzz9SFNgB4eXlh6NChKC0txTvvvKMutAHA2toa77//PgA0K1rLysoQFxeH/v37Iyoqqlmxa21tjcjISJibm+PAgQOtiunmzZtobGzEoEGDtPaXl5cDALy9vTX6nJyc0KdPH412a2tr2NnZobi4GBUVFa2Kg4jImLDYJiIyMebm5lqnaTg4OAAA3n777Rb7SktL1W2ZmZmor6+Hr68vLC0tNV5jZ2cHR0dHXL9+HY8fP35uXGVlZQCAHj16aO1/7bXXAADr1q1DZmZmq+eDq8ZTFetERKaE00iIiExM7969YWZmptEul8sBQOsUDlVf01U9FAoFACA2NhaxsbHPfM+KigqtBXlTVVVVAAArKyut/WFhYcjJyUFWVhY++OADyOVyvPnmm/Dz88OUKVO0TiMBnjzdbjo+EZEpYbFNRGRiunR59oeSz+tXUX1Z0sXFBUOGDHnmsa1ZglBVLD969Ehrv7W1Nfbs2YOcnBycPHkSWVlZOH/+PM6ePYuYmBjs27cPjo6OGq+rrq5uNj4RkSlhsU1E1EmpnoC7u7tjzZo17R5Pta72w4cPWzxGJpPBw8MDHh4eAJ5MPfnyyy9x+PBhbNq0CZs3b9Z4jWqudtM56kREpoJztomIOikvLy+YmZnh5MmTqK+vb/d4gwcPRteuXbUu4dcSW1tbLFq0CADwr3/9S6O/uroaJSUlGDBgQItzwYmIjBmLbSKiTqpv376YOnUqFAoFPvnkE/z73//WOCY/Px/Jycm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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "v0 = 7\n", + "x0 = 1.5\n", + "x_projectile = (1/2) * g * t**2 + v0 * t + x0\n", + "noise = np.random.normal(0, 0.2, x_projectile.shape)\n", + "x_obs_projectile = x_projectile + noise\n", + "df_projectile = pd.DataFrame({\"t\": t, \"x\": x_obs_projectile, \"x_true\": x_projectile})\n", + "df_projectile = df_projectile[df_projectile[\"x\"] >= 0]\n", + "\n", + "plt.scatter(df_projectile.t, df_projectile.x, label='Observed Displacement', color=\"C0\")\n", + "plt.plot(df_projectile.t, df_projectile.x_true, label='True Function', color=\"C1\")\n", + "plt.xlabel('Time (s)')\n", + "plt.ylabel('Displacement (m)')\n", + "plt.ylim(bottom=0)\n", + "plt.legend()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Modeling this using Bambi, we must include the linear term on time to capture the inital velocity. We'll do the following regression,\n", + "\n", + "$$x_f = \\beta_0 + \\beta_1 t + \\beta_2 t^2$$\n", + "\n", + "Which then maps the solved coefficents to the following: $\\beta_0 = x_0$, $\\beta_1 = v_0$, and $\\beta_2 = \\frac{g}{2}$. First, explicitly writing out each term gives the following." + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Auto-assigning NUTS sampler...\n", + "Initializing NUTS using jitter+adapt_diag...\n", + "Multiprocess sampling (4 chains in 4 jobs)\n", + "NUTS: [x_sigma, Intercept, I(t ** 2), t]\n" + ] + }, + { + "data": { + "text/html": [ + "\n", + "\n" + ], + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/html": [ + "\n", + "
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meansdhdi_3%hdi_97%mcse_meanmcse_sdess_bulkess_tailr_hat
Intercept1.5180.0661.3891.6380.0010.0012586.02647.01.0
I(t ** 2)-4.8920.115-5.096-4.6620.0020.0022219.02223.01.0
t6.9760.1896.6217.3320.0040.0032271.02204.01.0
x_sigma0.2000.0170.1700.2320.0000.0002152.01657.01.0
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" + ], + "text/plain": [ + " mean sd hdi_3% hdi_97% mcse_mean mcse_sd ess_bulk \\\n", + "Intercept 1.518 0.066 1.389 1.638 0.001 0.001 2586.0 \n", + "I(t ** 2) -4.892 0.115 -5.096 -4.662 0.002 0.002 2219.0 \n", + "t 6.976 0.189 6.621 7.332 0.004 0.003 2271.0 \n", + "x_sigma 0.200 0.017 0.170 0.232 0.000 0.000 2152.0 \n", + "\n", + " ess_tail r_hat \n", + "Intercept 2647.0 1.0 \n", + "I(t ** 2) 2223.0 1.0 \n", + "t 2204.0 1.0 \n", + "x_sigma 1657.0 1.0 " + ] + }, + "execution_count": 10, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "az.summary(fit_projectile_all_terms)" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Initial height: 1.38 to 1.64 meters (True: 1.5 m)\n", + "Initial velocity: 6.60 to 7.35 meters per second (True: 7 m/s)\n", + "Acceleration: -10.22 to -9.32 meters per second squared (True: -9.81 m/s^2)\n" + ] + } + ], + "source": [ + "hdi = az.hdi(fit_projectile_all_terms.posterior, hdi_prob=0.95)\n", + "print(f\"Initial height: {hdi['Intercept'].sel(hdi='lower'):.2f} to {hdi['Intercept'].sel(hdi='higher'):.2f} meters (True: {x0} m)\")\n", + "print(f\"Initial velocity: {hdi['t'].sel(hdi='lower'):.2f} to {hdi['t'].sel(hdi='higher'):.2f} meters per second (True: {v0} m/s)\")\n", + "print(f\"Acceleration: {2*hdi['I(t ** 2)'].sel(hdi='lower'):.2f} to {2*hdi['I(t ** 2)'].sel(hdi='higher'):.2f} meters per second squared (True: {g} m/s^2)\")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We once again are able to recover all our input parameters.\n", + "\n", + "Aside from explicitly putting in each term, if you want to include _all_ terms of a variable up to a given degree, we can also use the keyword `poly`. In our case, if we want the linear and quadratic effects, we would designate `poly(t, 2)`." + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Auto-assigning NUTS sampler...\n", + "Initializing NUTS using jitter+adapt_diag...\n", + "Multiprocess sampling (4 chains in 4 jobs)\n", + "NUTS: [x_sigma, Intercept, poly(t, 2)]\n" + ] + }, + { + "data": { + "text/html": [ + "\n", + "\n" + ], + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/html": [ + "\n", + "
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meansdhdi_3%hdi_97%mcse_meanmcse_sdess_bulkess_tailr_hat
Intercept2.9050.0222.8632.9460.0000.0006759.03730.01.0
poly(t, 2)[0]-3.4580.195-3.813-3.0680.0030.0025705.03303.01.0
poly(t, 2)[1]-8.5310.198-8.906-8.1590.0030.0025534.02838.01.0
x_sigma0.2000.0160.1710.2310.0000.0005661.03068.01.0
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" + ], + "text/plain": [ + " mean sd hdi_3% hdi_97% mcse_mean mcse_sd ess_bulk \\\n", + "Intercept 2.905 0.022 2.863 2.946 0.000 0.000 6759.0 \n", + "poly(t, 2)[0] -3.458 0.195 -3.813 -3.068 0.003 0.002 5705.0 \n", + "poly(t, 2)[1] -8.531 0.198 -8.906 -8.159 0.003 0.002 5534.0 \n", + "x_sigma 0.200 0.016 0.171 0.231 0.000 0.000 5661.0 \n", + "\n", + " ess_tail r_hat \n", + "Intercept 3730.0 1.0 \n", + "poly(t, 2)[0] 3303.0 1.0 \n", + "poly(t, 2)[1] 2838.0 1.0 \n", + "x_sigma 3068.0 1.0 " + ] + }, + "execution_count": 13, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "az.summary(fit_projectile_poly)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Wait, those not the generated parameters! What's going on here?\n", + "\n", + "## The `poly` keyword\n", + "\n", + "To fully understand what's going on under the hood, we must take a bit of a linear algebra detour. When the `poly` keyword is used, instead of directly using the values of $x, x^2, x^2, \\dots x^n$, it converts to _orthogonal polynomials_. When including the effect from polynomial terms, there will be correlation between them. This can be a problem from the fitting perspective as a result of multicollinarity. By orthogonalizing, the correlation is removed by design.\n", + "\n", + "As it turns out, it's shockingly difficult to get any information on _how_ the orthogonalization is performed online. So instead, I went into the [source code for the R Stats library](https://svn.r-project.org/R/trunk/src/library/stats/R/contr.poly.R) where poly is defined and found explicit code. \n", + "\n", + "Here's a step-by-step summary, along with a toy example.\n", + "\n", + "- The data is first centered around the mean for stability" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Array: [1 2 3 4 5], mean: 3.0.\n", + "Centered: [-2. -1. 0. 1. 2.]\n" + ] + } + ], + "source": [ + "X = np.array([1, 2, 3, 4, 5])\n", + "\n", + "mean = np.mean(X)\n", + "X_centered = X - mean\n", + "print(f\"Array: {X}, mean: {mean}.\\nCentered: {X_centered}\")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "- A _Vandermonde matrix_ is created. This just takes the input data and generates a matrix where columns represent increasing polynomial degrees. In this example, the first column is $x^0$, a constant term. The second is $x^1$, or the centered data. The third column is $x^2$ and the fourth is $x^3$." + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[ 1., -2., 4., -8., 16.],\n", + " [ 1., -1., 1., -1., 1.],\n", + " [ 1., 0., 0., 0., 0.],\n", + " [ 1., 1., 1., 1., 1.],\n", + " [ 1., 2., 4., 8., 16.]])" + ] + }, + "execution_count": 15, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "poly_term = 3 # Which final polynomial term we want, x^3\n", + "degree = poly_term + 1 # How many terms we want, accounting for constant \n", + "simple_vander = np.vander(X_centered, N=degree+1, increasing=True)\n", + "simple_vander" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "- QR decomposition is performed. There are [several methods to doing this in practice](https://en.wikipedia.org/wiki/QR_decomposition), the most common being the [Gram-Schmidt process](https://en.wikipedia.org/wiki/Gram%E2%80%93Schmidt_process). Here I just take advantage of the [Numpy implementation](https://numpy.org/doc/stable/reference/generated/numpy.linalg.qr.html). We take the above matrix and convert it into two components, an orthogonal matrix $Q$, and an upper triangular matrix $R$." + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Orthogonal matrix Q:\n", + " [[-0.4472 -0.6325 0.5345 -0.3162 -0.1195]\n", + " [-0.4472 -0.3162 -0.2673 0.6325 0.4781]\n", + " [-0.4472 -0. -0.5345 0. -0.7171]\n", + " [-0.4472 0.3162 -0.2673 -0.6325 0.4781]\n", + " [-0.4472 0.6325 0.5345 0.3162 -0.1195]]\n", + "\n", + "Upper triangular matrix R:\n", + " [[ -2.2361 -0. -4.4721 -0. -15.2053]\n", + " [ 0. 3.1623 0. 10.7517 0. ]\n", + " [ 0. 0. 3.7417 0. 16.5702]\n", + " [ 0. 0. 0. 3.7947 0. ]\n", + " [ 0. 0. 0. 0. -2.8685]]\n" + ] + } + ], + "source": [ + "q, r = np.linalg.qr(simple_vander)\n", + "print(\"Orthogonal matrix Q:\\n\", q.round(4))\n", + "print(\"\\nUpper triangular matrix R:\\n\", r.round(4))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "- Last take the dot product of $Q$ with the diagonal elements of $R$. $Q$ is then scaled to the magnitude of the polynomial degrees in $R$. This serves as our transformation matrix which transforms input data into the space defined by the orthogonal polynomials.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[[ 1. -2. 2. -1.2 0.3429]\n", + " [ 1. -1. -1. 2.4 -1.3714]\n", + " [ 1. -0. -2. 0. 2.0571]\n", + " [ 1. 1. -1. -2.4 -1.3714]\n", + " [ 1. 2. 2. 1.2 0.3429]]\n" + ] + } + ], + "source": [ + "diagonal = np.diag(np.diag(r))\n", + "transformation_matrix = np.dot(q, diagonal)\n", + "print(transformation_matrix.round(4))\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "- From the transformation matrix, we get squared norms (`norm2`), which give us the scale of each polynomial. We also get the value by which we need to shift each polynomial to match the centered data (`alpha`).\n" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Norm2: [ 5. 10. 14. 14.4 8.22857143]\n", + "alpha: [3. 3. 3. 3.]\n" + ] + } + ], + "source": [ + "norm2 = np.sum(transformation_matrix**2, axis=0)\n", + "\n", + "weighted_sums = np.sum(\n", + " (transformation_matrix**2) * np.reshape(X_centered, (-1, 1)),\n", + " axis=0\n", + ") \n", + "normalized_sums = weighted_sums / norm2\n", + "adjusted_sums = normalized_sums + mean\n", + "alpha = adjusted_sums[:degree]\n", + "\n", + "print(f\"Norm2: {norm2}\\nalpha: {alpha}\")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "- Finally, we iteratively apply this to all desired polynomial degrees, shifting the data and scaling by the squared norms appropriately to maintain orthogonality with the prior term." + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[ 0.4472136 , -0.63245553, 0.53452248, -0.31622777, 0.11952286],\n", + " [ 0.4472136 , -0.31622777, -0.26726124, 0.63245553, -0.47809144],\n", + " [ 0.4472136 , 0. , -0.53452248, -0. , 0.71713717],\n", + " [ 0.4472136 , 0.31622777, -0.26726124, -0.63245553, -0.47809144],\n", + " [ 0.4472136 , 0.63245553, 0.53452248, 0.31622777, 0.11952286]])" + ] + }, + "execution_count": 19, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "transformed_X = np.full((len(X), degree+1), np.nan)\n", + "transformed_X[:,0] = 1\n", + "transformed_X[:, 1] = X - alpha[0]\n", + "for i in range(1, degree):\n", + " transformed_X[:, i + 1] = (\n", + " (X - alpha[i]) * transformed_X[:, i] -\n", + " (norm2[i] / norm2[i - 1]) * transformed_X[:, i - 1]\n", + " )\n", + "\n", + "transformed_X /= np.sqrt(norm2)\n", + "transformed_X " + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "This is now a matrix of orthogonalized polynomials of X. The first column is just a constant. The second column corresponds to the input $x$, the next is $x^2$ and so on.\n", + "\n", + "\n", + "This approach been reproduced below as a Scikit-Learn style class below where the `fit` method calculates the coefficients and the `transform` method returns orthoginalized data. This does not use the `BaseEstimator` or `TransformerMixin` inheritances typically used in Scikit-Learn definitions (as to not increase dependencies for the sake of this one example). An implementation including those can be found [at this gist](https://gist.github.com/tjburch/062547b3600f81db73b40feb044bab2a#file-orthogonalpolynomialtransformer-py)." + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": {}, + "outputs": [], + "source": [ + "class OrthogonalPolynomialTransformer:\n", + " \"\"\"Transforms input data using orthogonal polynomials.\"\"\"\n", + " \n", + " def __init__(self, degree: int = 1) -> None:\n", + " self.degree = degree + 1 # Account for constant term\n", + " self.norm2 = None\n", + " self.alpha = None\n", + "\n", + " def fit(self, X: np.ndarray, y: Optional[np.ndarray] = None) -> 'OrthogonalPolynomialTransformer':\n", + " \"\"\"Calculate transformation matrix, extract norm2 and alpha.\"\"\" \n", + " # Reset state-related attributes at the beginning of each fit call\n", + " self.norm2 = None\n", + " self.alpha = None\n", + "\n", + " X = np.asarray(X).flatten()\n", + " if self.degree >= len(np.unique(X)):\n", + " raise ValueError(\"'degree' must be less than the number of unique data points.\")\n", + " \n", + " # Center data around its mean\n", + " mean = np.mean(X)\n", + " X_centered = X - mean\n", + " \n", + " # Create Vandermonde matrix for centered data and perform QR decomposition\n", + " vandermonde = np.vander(X_centered, N=self.degree + 1, increasing=True)\n", + " Q, R = np.linalg.qr(vandermonde)\n", + " \n", + " # Compute transformation matrix and norms\n", + " diagonal = np.diag(np.diag(R)) # extract diagonal, then create diagonal matrix\n", + " transformation_matrix = np.dot(Q, diagonal)\n", + " self.norm2 = np.sum(transformation_matrix**2, axis=0)\n", + " \n", + " # Get alpha\n", + " # Normalized weighted sum sqared of transformation matrix\n", + " weighted_sums = np.sum(\n", + " (transformation_matrix**2) * np.reshape(X_centered, (-1, 1)),\n", + " axis=0\n", + " ) \n", + " normalized_sums = weighted_sums / self.norm2\n", + " adjusted_sums = normalized_sums + mean\n", + " self.alpha = adjusted_sums[:self.degree]\n", + " return self\n", + "\n", + " def transform(self, X: np.ndarray) -> np.ndarray:\n", + " \"\"\"Iteratively apply up to 'degree'.\"\"\"\n", + " X = np.asarray(X).flatten()\n", + " transformed_X = np.empty((len(X), self.degree + 1)) # Adjusted to include all polynomial degrees\n", + " \n", + " transformed_X[:, 0] = 1 # x^0 \n", + " if self.degree > 0:\n", + " transformed_X[:, 1] = X - self.alpha[0]\n", + "\n", + " if self.degree > 1:\n", + " for i in range(1, self.degree):\n", + " transformed_X[:, i + 1] = (\n", + " (X - self.alpha[i]) * transformed_X[:, i] -\n", + " (self.norm2[i] / self.norm2[i - 1]) * transformed_X[:, i - 1]\n", + " )\n", + "\n", + " transformed_X /= np.sqrt(self.norm2)\n", + " \n", + " # return without constant term\n", + " return transformed_X[:, 1:self.degree] \n", + "\n", + "\n", + " def fit_transform(self, X: np.ndarray, y: Optional[np.ndarray] = None) -> np.ndarray:\n", + " self.fit(X, y)\n", + " return self.transform(X)\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "An example call is shown below. It's worth noting that in this implementation, the constant term is not returned, the first column corresponds to $x$, the second to $x^2$, and the third to $x^3$." + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[-0.63245553, 0.53452248, -0.31622777],\n", + " [-0.31622777, -0.26726124, 0.63245553],\n", + " [ 0. , -0.53452248, -0. ],\n", + " [ 0.31622777, -0.26726124, -0.63245553],\n", + " [ 0.63245553, 0.53452248, 0.31622777]])" + ] + }, + "execution_count": 21, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "\n", + "X = np.array([1, 2, 3, 4, 5])\n", + "poly3 = OrthogonalPolynomialTransformer(degree=3).fit(X)\n", + "poly3.transform(X)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "This matches what you may get when calling the same function in R:\n", + "\n", + "```{R}\n", + "X <- c(1, 2, 3, 4, 5)\n", + "poly(X, 3)\n", + " 1 2 3\n", + "[1,] -6.324555e-01 0.5345225 -3.162278e-01\n", + "[2,] -3.162278e-01 -0.2672612 6.324555e-01\n", + "[3,] -3.288380e-17 -0.5345225 9.637305e-17\n", + "[4,] 3.162278e-01 -0.2672612 -6.324555e-01\n", + "[5,] 6.324555e-01 0.5345225 3.162278e-01\n", + "```\n", + "\n", + "For an example, applying this function to x over a domain from 0-10," + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Generate data\n", + "x = np.linspace(0, 10, 100)\n", + "x2 = x**2\n", + "\n", + "# Orthogonalize\n", + "transformer = OrthogonalPolynomialTransformer(degree=2)\n", + "x_orthogonalized = transformer.fit_transform(x)\n", + "x_orth = x_orthogonalized[:, 0]\n", + "x2_orth = x_orthogonalized[:, 1]\n", + "\n", + "# Make a correlation matrix\n", + "data = np.vstack([x, x2, x_orth, x2_orth]).T\n", + "df = pd.DataFrame(data, columns=['x', '$x^2$', '$x$ Orth', '$x^2$ Orth'])\n", + "correlation_matrix = df.corr()\n", + "sns.heatmap(correlation_matrix, annot=True, cmap='Reds')\n", + "plt.xticks(rotation=45)\n", + "plt.show()\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We now see that the orthogonalized version of $x$ and $x^2$ are no longer correlated to each other. Next, we construct a response variable and plot against it." + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/var/folders/yp/g4z_ylx565j4hzgny6j2phtc0000gn/T/ipykernel_46835/1071596866.py:25: UserWarning: The figure layout has changed to tight\n", + " plt.tight_layout()\n" + ] + }, + { + "data": { + "image/png": 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", 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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "y = 3 * x2 + x\n", + "\n", + "fig, axs = plt.subplots(2, 2, figsize=(8, 6), sharey='row')\n", + "\n", + "# Plot configurations - variable, label, linear fit tuple\n", + "plots = [\n", + " (x, 'x', False),\n", + " (x2, '$x^2$', False),\n", + " (x_orth, 'Orthogonalized $x$', True), \n", + " (x2_orth, 'Orthogonalized $x^2$', False)\n", + "]\n", + "\n", + "for ax, plot_data in zip(axs.flat, plots):\n", + " x_val, xlabel = plot_data[:2]\n", + " if len(plot_data) == 3 and plot_data[2]: # Check if regression line is needed\n", + " sns.regplot(x=x_val, y=y, ax=ax, line_kws={\"color\": \"C1\"})\n", + " else:\n", + " sns.scatterplot(x=x_val, y=y, ax=ax)\n", + " ax.set(xlabel=xlabel, ylabel='y')\n", + "\n", + " # Check if this is the $x^2$ Orth vs y plot to add a vertical line at 0\n", + " if plot_data[1] == 'Orthogonalized $x^2$':\n", + " ax.axvline(0, color='k', linestyle='--') # Add vertical line at x=0\n", + "\n", + "plt.tight_layout()\n", + "plt.show()\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The top half shows the response variable against $x$ and $x^2$, this should look familiar.\n", + "\n", + "The bottom half shows the new orthogonalized polynomial terms. First, you'll notice the domain is centered at 0 and smaller, which is done in the orthogonalization process. Otherwise, the $x$ term is the same. Remember in the construction, the first order is untouched, then subsequent terms are built orthogonal to the first degree polynomial. \n", + "\n", + "I've shown a linear fit on top of the first order term. What you'll notice is that the orthogonalized $x^2$ correspond to the residuals of this line. At the lowest values of $y$, the fit is poor, and this is where the orthogonalized $x^2$ is highest. As the first order term crosses the linear fit, you see the orthogonalized $x^2$ cross zero, then go to negative values as it dips under the linear fit. It crosses 0 one more time and then is once again poor at the highest values shown. Since the $x^2$ is proportional to the residuals of the first order term, if we plot the orthogonalized $x^2$ term against the residuals, we should see a linear trend." + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/var/folders/yp/g4z_ylx565j4hzgny6j2phtc0000gn/T/ipykernel_46835/4033978437.py:26: UserWarning: The figure layout has changed to tight\n", + " plt.tight_layout()\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Perform linear fit on x_orth vs y\n", + "slope, intercept, r_value, p_value, std_err = scipy.stats.linregress(x_orth, y)\n", + "\n", + "# Calculate the residuals\n", + "y_pred = intercept + slope * x_orth\n", + "residuals = y - y_pred\n", + "\n", + "# Plot x_orth vs y with linear fit\n", + "plt.figure(figsize=(10, 5))\n", + "plt.subplot(1, 2, 1)\n", + "plt.scatter(x_orth, y, label='Original data')\n", + "plt.plot(x_orth, y_pred, color='C1', label='Fitted line')\n", + "plt.xlabel('$x$ Orth')\n", + "plt.ylabel('y')\n", + "plt.title('$x$ Orth vs y with Linear Fit')\n", + "plt.legend()\n", + "\n", + "# Plot x2_orth vs residuals\n", + "plt.subplot(1, 2, 2)\n", + "plt.scatter(x2_orth, residuals)\n", + "plt.xlabel('$x^2$ Orth')\n", + "plt.ylabel('Residuals')\n", + "plt.title('$x^2$ Orth vs Residuals')\n", + "plt.axhline(0, color='black', linestyle='--')\n", + "\n", + "plt.tight_layout()\n", + "plt.show()\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "And, in fact, the linear trend bears out when plotting the orthogonal $x^2$ vs the residuals.\n", + "\n", + "We can take this a degree higher and look at a cubic term." + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/var/folders/yp/g4z_ylx565j4hzgny6j2phtc0000gn/T/ipykernel_46835/2104140763.py:39: UserWarning: The figure layout has changed to tight\n", + " plt.tight_layout()\n" + ] + }, + { + "data": { + "image/png": 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+ "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "x3 = x**3\n", + "x2 = x**2\n", + "# Creating a cubic function with an up and down pattern\n", + "y_cubic = 2.5* x3 - 15*x2 + 55 * x \n", + "\n", + "transformer = OrthogonalPolynomialTransformer(degree=3)\n", + "x_orthogonalized = transformer.fit_transform(x)\n", + "x_orth = x_orthogonalized[:, 0]\n", + "x2_orth = x_orthogonalized[:, 1]\n", + "x3_orth = x_orthogonalized[:, 2]\n", + "\n", + "fig, axs = plt.subplots(2, 3, figsize=(12, 8), sharey='row')\n", + "\n", + "# Plot configurations\n", + "plots = [\n", + " (x, 'x', 'x vs y', False),\n", + " (x2, '$x^2$', '$x^2$ vs y', False),\n", + " (x3, '$x^3$', '$x^3$ vs y', False),\n", + " (x_orth, '$x$ Orth', '$x$ Orth vs y', True), # Indicate to add regression line for this plot\n", + " (x2_orth, '$x^2$ Orth', '$x^2$ Orth vs y', True), # Indicate to add regression line for this plot too\n", + " (x3_orth, '$x^3$ Orth', '$x^3$ Orth vs y',False)\n", + "]\n", + "\n", + "for ax, plot_data in zip(axs.flat, plots):\n", + " x_val, xlabel, title = plot_data[:3]\n", + " if len(plot_data) == 4 and plot_data[3]: # Check if regression line is needed\n", + " sns.regplot(x=x_val, y=y_cubic, ax=ax, line_kws={\"color\": \"C1\"})\n", + " else:\n", + " sns.scatterplot(x=x_val, y=y_cubic, ax=ax)\n", + " ax.set(xlabel=xlabel, ylabel='y', title=title)\n", + "\n", + " # Check if this is the $x^2$ Orth vs y plot to add a vertical line at 0\n", + " if title == '$x^2$ Orth vs y':\n", + " ax.axvline(0, color='k', linestyle='--') # Add vertical line at x=0\n", + " # Check if this is the $x^3$ Orth vs y plot to add a vertical line at 0\n", + " if title == '$x^3$ Orth vs y':\n", + " ax.axvline(0, color='k', linestyle='--') # Add vertical line at x=0\n", + "\n", + "plt.tight_layout()\n", + "plt.show()\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "At a cubic level, it's a bit more difficult to see the trends, however, the procedure is still the same. We can model each subsequent term against the residuals of the prior, and we can see that since this data was constructed from a cubic function, the $x^3$ plot against the residuals of the $x^2$ term is linear." + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "No artists with labels found to put in legend. Note that artists whose label start with an underscore are ignored when legend() is called with no argument.\n", + "/var/folders/yp/g4z_ylx565j4hzgny6j2phtc0000gn/T/ipykernel_46835/3135338099.py:46: UserWarning: The figure layout has changed to tight\n", + " plt.tight_layout()\n" + ] + }, + { + "data": { + "image/png": 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+ "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Perform linear fit on x_orth vs y\n", + "slope, intercept, r_value, p_value, std_err = scipy.stats.linregress(x_orth, y_cubic)\n", + "\n", + "# Calculate the residuals\n", + "y_pred = intercept + slope * x_orth\n", + "residuals = y_cubic - y_pred\n", + "\n", + "# Perform linear fit on residuals vs x2_orth\n", + "slope_res, intercept_res, r_value_res, p_value_res, std_err_res = scipy.stats.linregress(x2_orth, residuals)\n", + "\n", + "# Calculate the second order residuals\n", + "residuals_pred = intercept_res + slope_res * x2_orth\n", + "second_order_residuals = residuals - residuals_pred\n", + "\n", + "# Plot x_orth vs y with linear fit\n", + "plt.figure(figsize=(15, 5))\n", + "\n", + "plt.subplot(1, 3, 1)\n", + "sns.scatterplot(x=x_orth, y=y_cubic, hue=np.arange(len(x_orth)), palette=\"viridis\", legend=False)\n", + "plt.plot(x_orth, y_pred, color='black', label='Linear Model')\n", + "plt.xlabel('$x$ Orth')\n", + "plt.ylabel('y')\n", + "plt.title('$x$ Orth vs y with Linear Fit')\n", + "plt.legend()\n", + "\n", + "# Plot x2_orth vs residuals\n", + "plt.subplot(1, 3, 2)\n", + "sns.scatterplot(x=x2_orth, y=residuals, hue=np.arange(len(x2_orth)), palette=\"viridis\", legend=False)\n", + "plt.plot(x2_orth, residuals_pred, color='black')\n", + "plt.xlabel('$x^2$ Orth')\n", + "plt.ylabel('Residuals')\n", + "plt.title('$x^2$ Orth vs Residuals')\n", + "plt.axhline(0, color='grey', linestyle='--', zorder=-1)\n", + "plt.legend()\n", + "\n", + "# Plot x3_orth vs second order residuals\n", + "plt.subplot(1, 3, 3)\n", + "sns.scatterplot(x=x3_orth, y=second_order_residuals, hue=np.arange(len(x3_orth)), palette=\"viridis\", legend=False)\n", + "plt.xlabel('$x^3$ Orth')\n", + "plt.ylabel('Second Order Residuals')\n", + "plt.title('$x^3$ Orth vs Second Order Residuals')\n", + "plt.axhline(0, color='grey', linestyle='--', zorder=-1)\n", + "plt.annotate('Point hue denotes index', \n", + " xy=(0.99, 0.05), ha='right', xycoords='axes fraction', fontsize=14, color='black')\n", + "\n", + "plt.tight_layout()\n", + "plt.show()\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The main takeaway of this aside is the following: \n", + "\n", + "**The `poly` keyword when used in a formula creates orthogonal polynomials. This is well suited for fitting statistical models, since it eliminates the risk of multicollinearity between terms.** However, since we are trying to fit a physics-based model and doing parameter recovery, we will stick with the `I{x**2}` definition." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Measuring gravity on a new planet\n", + "\n", + "In the next example, you've been recruited to join the space program as a research scientist, looking to directly measure the gravity on a new planet, PlanetX. You don't know anything about this planet or it's safety, so you have time for one, and only one, throw of a ball. However, you've perfected your throwing mechanics, and can achieve the same initial velocity wherever you are. To baseline, you make a toss on planet Earth, warm up your spacecraft and stop at Mars to make a toss, then travel far away, and make a toss on PlanetX. \n", + "\n", + "First we simulate data for this experiment." + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "metadata": {}, + "outputs": [], + "source": [ + "def simulate_throw(v0, g, noise_std, time_step=0.25, max_time=10):\n", + " times = np.arange(0, max_time, time_step)\n", + " heights = v0 * times - 0.5 * g * times**2\n", + " heights_with_noise = heights + np.random.normal(0, noise_std, len(times)) \n", + " valid_indices = heights_with_noise >= 0\n", + " return times[valid_indices], heights_with_noise[valid_indices], heights[valid_indices]\n", + "\n", + "# Define the parameters\n", + "v0 = 20 # Initial velocity (m/s)\n", + "g_planets = {'Earth': 9.81, \"Mars\": 3.72, 'PlanetX': 6.0} # Gravitational acceleration (m/s^2)\n", + "noise_std = 1.5 # Standard deviation for noise\n", + "\n", + "# Generate data\n", + "records = []\n", + "for planet, g in g_planets.items():\n", + " times, heights, heights_true = simulate_throw(v0, g, noise_std)\n", + " for time, height, height_true in zip(times, heights, heights_true):\n", + " records.append([planet, time, height, height_true])\n", + "\n", + "# Convert to a DataFrame\n", + "df = pd.DataFrame(records, columns=['Planet', 'Time', 'Height', 'Height_true'])\n", + "df[\"Planet\"] = df[\"Planet\"].astype('category')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "First we draw the observed and true trajectories on each planet." + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(10, 6))\n", + "for i, planet in enumerate(df['Planet'].cat.categories):\n", + " subset = df[df['Planet'] == planet]\n", + " plt.plot(subset['Time'], subset['Height_true'], alpha=0.7, color=f'C{i}')\n", + " plt.scatter(subset['Time'], subset['Height'], alpha=0.7, label=planet, color=f'C{i}')\n", + "plt.legend(title='Planet')\n", + "plt.title('Trajectory Comparison')\n", + "plt.xlabel('Time (seconds)')\n", + "plt.ylabel('Height (meters)')\n", + "plt.ylim(bottom=0);" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We now aim to model this data. We again use the folowing equation:\n", + "\n", + "$$\n", + "h = \\frac{1}{2} g_{p} t^2 + v_{0} t\n", + "$$\n", + "\n", + "where $g_p$ now has a subscript to indicate the planet that we're throwing from.\n", + "\n", + "In Bambi, we'll do the following:\n", + "\n", + "`Height ~ I(Time**2):Planet + Time + 0`\n", + "\n", + "which corresponds one-to-one with the above formula. The intercept is eliminated since we start from $x=0$. We will use random effects in this case for our planets." + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "metadata": {}, + "outputs": [ + { + "data": { + "image/svg+xml": [ + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "clusterI(Time ** 2):Planet_dim (3)\n", + "\n", + "I(Time ** 2):Planet_dim (3)\n", + "\n", + "\n", + "clusterHeight_obs (81)\n", + "\n", + "Height_obs (81)\n", + "\n", + "\n", + "\n", + "Time\n", + "\n", + "Time\n", + "~\n", + "Normal\n", + "\n", + "\n", + "\n", + "Height\n", + "\n", + "Height\n", + "~\n", + "Normal\n", + "\n", + "\n", + "\n", + "Time->Height\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "Height_sigma\n", + "\n", + "Height_sigma\n", + "~\n", + "HalfStudentT\n", + "\n", + "\n", + "\n", + "Height_sigma->Height\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "I(Time ** 2)&Planet\n", + "\n", + "I(Time ** 2):Planet\n", + "~\n", + "Normal\n", + "\n", + "\n", + "\n", + "I(Time ** 2)&Planet->Height\n", + "\n", + "\n", + "\n", + "\n", + "\n" + ], + "text/plain": [ + "" + ] + }, + "execution_count": 29, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "planet_model = bmb.Model(\n", + " 'Height ~ I(Time**2):Planet + Time + 0',\n", + " df,\n", + ")\n", + "planet_model.build()\n", + "planet_model.graph()" + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Auto-assigning NUTS sampler...\n", + "Initializing NUTS using jitter+adapt_diag...\n", + "Multiprocess sampling (4 chains in 4 jobs)\n", + "NUTS: [Height_sigma, I(Time ** 2):Planet, Time]\n" + ] + }, + { + "data": { + "text/html": [ + "\n", + "\n" + ], + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/html": [ + "\n", + "
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meansdhdi_3%hdi_97%mcse_meanmcse_sdess_bulkess_tailr_hat
I(Time ** 2):Planet[Earth]-4.7730.063-4.899-4.6600.0020.0011720.01971.01.0
I(Time ** 2):Planet[Mars]-1.8570.018-1.889-1.8220.0010.0001245.01566.01.0
I(Time ** 2):Planet[PlanetX]-2.9880.030-3.040-2.9320.0010.0011300.01825.01.0
Time20.0090.13819.75720.2670.0040.0031231.01527.01.0
Height_sigma1.4720.1251.2561.7190.0030.0021631.01289.01.0
\n", + "
" + ], + "text/plain": [ + " mean sd hdi_3% hdi_97% mcse_mean \\\n", + "I(Time ** 2):Planet[Earth] -4.773 0.063 -4.899 -4.660 0.002 \n", + "I(Time ** 2):Planet[Mars] -1.857 0.018 -1.889 -1.822 0.001 \n", + "I(Time ** 2):Planet[PlanetX] -2.988 0.030 -3.040 -2.932 0.001 \n", + "Time 20.009 0.138 19.757 20.267 0.004 \n", + "Height_sigma 1.472 0.125 1.256 1.719 0.003 \n", + "\n", + " mcse_sd ess_bulk ess_tail r_hat \n", + "I(Time ** 2):Planet[Earth] 0.001 1720.0 1971.0 1.0 \n", + "I(Time ** 2):Planet[Mars] 0.000 1245.0 1566.0 1.0 \n", + "I(Time ** 2):Planet[PlanetX] 0.001 1300.0 1825.0 1.0 \n", + "Time 0.003 1231.0 1527.0 1.0 \n", + "Height_sigma 0.002 1631.0 1289.0 1.0 " + ] + }, + "execution_count": 31, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "az.summary(planet_fit)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Getting the gravities back to the physical value," + ] + }, + { + "cell_type": "code", + "execution_count": 32, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "g for Earth: -9.80 to -9.30 meters (True: -9.81 m)\n", + "g for Mars: -3.78 to -3.64 meters (True: -3.72 m)\n", + "g for PlanetX: -6.09 to -5.86 meters (True: -6.0 m)\n", + "Initial velocity: 19.74 to 20.27 meters per second (True: 20 m/s)\n" + ] + } + ], + "source": [ + "hdi = az.hdi(planet_fit.posterior, hdi_prob=0.95)\n", + "print(f\"g for Earth: {2*hdi['I(Time ** 2):Planet'].sel({'I(Time ** 2):Planet_dim':'Earth', 'hdi':'lower'}):.2f} to {2*hdi['I(Time ** 2):Planet'].sel({'I(Time ** 2):Planet_dim':'Earth', 'hdi':'higher'}):.2f} meters (True: -9.81 m)\")\n", + "print(f\"g for Mars: {2*hdi['I(Time ** 2):Planet'].sel({'I(Time ** 2):Planet_dim':'Mars', 'hdi':'lower'}):.2f} to {2*hdi['I(Time ** 2):Planet'].sel({'I(Time ** 2):Planet_dim':'Mars', 'hdi':'higher'}):.2f} meters (True: -3.72 m)\")\n", + "print(f\"g for PlanetX: {2*hdi['I(Time ** 2):Planet'].sel({'I(Time ** 2):Planet_dim':'PlanetX', 'hdi':'lower'}):.2f} to {2*hdi['I(Time ** 2):Planet'].sel({'I(Time ** 2):Planet_dim':'PlanetX', 'hdi':'higher'}):.2f} meters (True: -6.0 m)\")\n", + "print(f\"Initial velocity: {hdi['Time'].sel(hdi='lower'):.2f} to {hdi['Time'].sel(hdi='higher'):.2f} meters per second (True: 20 m/s)\")\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We can see that we're pretty close to recovering most the parameters, but the fit isn't great. Plotting the posteriors for $g$ agsint the true values," + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Text(0.5, 1.0, 'Posterior $g$ on PlanetX')" + ] + }, + "execution_count": 33, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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G4sWLMWrUKEyfPr1LceDuBDqedNbbZ5houGBcYFwIZkMdFwbzOezrM15fX4+7774bAHD77bd7npPRaMSDDz4Io9GIl156CZs3bx5o86kHTHaFmJNPPhnJycnYv38/HnzwQU+RPkBm9B966CEAwGWXXeZVLPK1115DWVlZl/s7cOCAZ0ptxy8TNfO/a9eubtuxePFiTJkyBVu2bMEdd9zR7drlhoYGvPHGG15tHIyBPvfBUgs5PvXUU17rwg8fPoxrrrnG87r2J4Bo9Vz8KTs7GwDwwQcfoLm52XO+1WrFvffe6xlFGqi+PoNE5DvGDsaOofTkk09i7dq1eOutt3y6fiDjSX8/w0TDBeMC40IwC3Q/o7PBfA77+oz/5S9/wYEDB7Bw4UKcd955Xpfl5+fjmmuugdPpxO23385aw37GZYwhxmQy4bHHHsNVV12FN954AytXrsS0adPQ0tKCNWvWwGq1Yv78+bjuuuu8bvf222/jvvvuQ2pqKiZMmICYmBjU1dXhp59+gsViwbx583Dcccd5rn/iiSdi7dq1+MMf/oD58+dj5MiRAGRRyqysLOh0OvzrX//C1Vdfjffffx9Lly5FXl4ekpOTYbfbsXv3bhQXF8PpdOKcc87xuRBhIJ77YF177bX49ttv8eOPP+LEE0/E9OnTYbVa8eOPPyI7OxuZmZkoLy/HjBkzgv659OV///ufZ1eX7hx99NE4/fTTAcilKq+88gq2b9+OxYsXY/bs2dDr9Z7P1OWXX45XXnllwG3p6zNIRL5j7GDsCGaBjCf9/QwTDReMC4wLwSzQ/YzOBvM57O0zvmvXLnzyyScYOXIk7r///m4fW13OWFhYiMceewy33nqr357XcMdkVwiaOnUqPvjgAzz//PNYuXIlvvrqK5hMJkyaNAlnnnkmzjvvvC6B4Oabb8a3336LzZs3Y/PmzWhqakJ8fDymTp2Kc889F6eeeqrXbS666CK0tLTgo48+wooVKzxZ5jPOOMOTaEhISMDbb7+N9957D5999hmKioqwdetWxMbGYty4cbjwwgtx3HHH+XUUYSDPfbDy8/Px6quv4pFHHsHmzZvx3XffIScnB7///e9x7LHH4sQTT0R+fj7Gjh0b9M+lLxs2bMCGDRt6vHzEiBGeZNfIkSPxzjvv4IknnsDq1auxcuVKjBo1CkcffTSuv/56rF+/flBt8eUzSES+Y+xg7AhWgYwn/f0MEw0njAuMC8Eq0P2M7gz0c9jTZ/zoo4/GfffdBwC46667eqyZZjAY8NBDD+Gcc87Byy+/jBNOOAHTp0/3+/MbjhQxVIujicLQPffcg7feegv33nsvLrroIq2bQ0REIYCxg4iIOmJcIPI/1uwi6sPWrVu7nNfQ0IAHHngAb731FiZNmtRl/TUREQ1vjB1ERNQR4wLR0OLMLqJeHDhwAPPnz0dycjKysrIQGxuLffv2YceOHWhtbUV+fj6ef/55jBs3TuumEhFRkGDsICKijhgXiIZeaC3eJRpiLpcL559/PtatW4dNmzbBYrFgxIgRmDZtGk455RScddZZMJlMWjeTiIiCCGMHERF1xLhANPQ4s4uIiIiIiIiIiMIGa3YREREREREREVHYYLKLiIiIiIiIiIjCBpNdREREREREREQUNnwuUF9XVxfIdgRUbGwsGhoatG5GyOLrNzh8/QaHr9/ABeq1i4uL6/M6gYoZ/Dz0jK9Nz/jadI+vS8/42nRvIK+LLzGjL6HUD+Fnx3/4WvoPX0v/4OvoP4N5LX2NK8NiZpdONyyeZsDw9Rscvn6Dw9dv4MLxtQvH5+QvfG16xteme3xdesbXpnt8XfrG18h/+Fr6D19L/+Dr6D9D8Vry3SIiIiIiIiIiorDBZBcREREREREREYUNJruIiIiIiIiIiChsMNlFRERERERERERhg8kuIiIiIiIiIiIKG0x2ERERERERERFR2GCyi4iIiIiIiIiIwgaTXUREREREREREFDaY7CIiIiIiIiIiorDBZBcREREREREREYUNJruIiIiIiIiIiChsMNlFRERERERERERhg8kuIiIiIiIiIiIKG0x2ERERERERERFR2GCyi4iIiIiIiIiIwgaTXUREREREREREFDaY7CIiIiIiIiIiorDBZBcREREREREREYUNJruIiIiIiIiIiChsMNlFRERERERERERhg8kuIiIiIiIiIiIKGwatG0CkhdIygc8+F1i/AdhXC8REA3FxQF4uMHeOgiPnAUajonUziYgoiNlsAp8vBT75TGD3biB+NHDySQouOI8xhIiI+kcIge9/AD79XKC8AmhqAowGoKAAOH6xggXzAZ2OsYXIV0x20bDS2irwzycEPv8CEKL9/OZmmfTasRP44COB2JHASScJXHiegrFjGVSIiMhbZaXA7XfLJJequRl45jmB774H/vE3IDqa8YOIiPpWuF3g/x4VKN7V9bJvVwDfrhCYdwTwxzuB2FjGFiJfMNlFw8a+WoE/3CZHSgDg2IXAcccpyMwAWluB/fuBLVsFvvkWOHQIeOtt4L33Bc49W+DnlykYMYKBhYiIZKLrhpsEDtfJ2VwXX6Rgzmxg+w7gyacEtm4Dbr1D4JG/A2YzYwcREXXP4RD49ysCr/4XcLqAyEjg7DOBI+YqiBsFNDUD3/8g8L93gTVrgauvFXj8UWDcOMYWor4w2UXDQnNze6IrfjRw370Kpk31DhIFk4BFxyq4/lqBdT8Cr70hsGkz8ObbwLJvBO68HZgzm4GFiGg4q9otcOPvZKIrJxt49B8K4uJkbMjKlOf99ncCm7cATz4t8PubGDeIiKirpiaBu/8ky6oAwPFLgN9er2DUKO+4MW2qgiWLBe68W6C6BrjxZoGnn4Qn9hBR91ignsKeEAL3PeBOdMUDzz7dNdHVkV6v4Mh5Cp74p4K//01Bagpw4CDwuz8IvP6mgOi4/pGIiIaNunqB398qcOgQkJ0F/PP/lC6djfw8BX+5V573/gdAUTFjBhEReaupEfjNdTLRFRkB3PtHBX+6W9cl0aWakCP7JkmJQHUN8MBD7JMQ9YXJLgp7Xy0Dvv8BMBmBv/1VQWKCb6MgiqLgyCMUvPyCgtNPlTW+nnpG4MGHBRwOBhciouHEZpOj6nv3AsnJMtHVU6dk7hwFxy+Rx888x3hBRETtincJXH2tQGUVMG4s8NQTCpYs7rt/kpio4G9/VWAyyiWN774/BI0lCmFMdlFYa2wUePxJ2dG4/DIF+Xn9n+4bGang1lsU3HSjAp0O+Oxz4N6/MOFFRDRcCCHw8P/JWlwx0cDDD3ad0dXZVVcoMBiAH38C1m9gvCAiIjnb97e/E6hvAHJzgeeeVjBhgu/9k6wsBdddI6//7PMCBw8xvhD1hMkuCmuvvylQXw9kZACXXDTw+1EUBT87R8Ff71dgNMpdUR78G6cPExENB6++BnyxFNDrZM3HjPS+OybJSQrOOE0ev/k2YwUR0XBXVCxw0+8FmppkreAnHlUwZkz/B+LPPguYNBFoawOefobxhagnTHZR2Dp8WOCd9+Txb36twGgcfBHH+UcpeOA+BXodsPQr4PkXGWCIiMLZ50sFnntBftffeIOCuXN8jyUXnKdAUYAf1sgdHImIaHiqrha4+RaZ6JpcADzydwXR0QPrm+h0Cn73Wxlfln4ll0USUVdMdlHYev1NAYsFmDgROPpI/93vUUcquPUPMji98l9gxUoGGCKicLTuR4GHHpbf8RdfBJx7dv86JikpCuYfJY//9x5jBRHRcNTUJHDbnQKNjcDEfOD/Hh54okuVn69gyWJ5/O9XGF+IusNkF4WltjaBTz6Vx7+8XIGi+Hdr3lNPVnDh+fL4gYcEqqsZZIiIwsmmzQJ33SPgdAInLAF+c9XA4sjPzpW3++prwGplrCAiGk5cLoF7/9JejP7BBwaf6FL9/DI5u2vlKqCklPGFqDMmuygsLf0KaG4BUlOAeUcE5jF+82sF06YCra3Agw8LuFwMMkREoU4Igc+/EPjdLQJtbcDsWcAdtynQ6QbWOZkxHUhIAFpagO9+8G9biYgouL37PrB2HWA2y0TXmHj/DcBnpCtYdKw8Zm1Ioq6Y7KKwI4TAe+/LL/xzzhp4B6UvBoOCu+5QEBkBbN4CvPdBQB6GiIiGyKFDAnf+UeCBhwRsdmDBfOBvfx1czUedTsEJS+Tx0i/ZGSEiGi6qqwWeeU5+719/rYK8XP/3SS48X97nsm9kvWIiasdkF4WdoiKgrBwwmYCTTwrsYyUnKbjmNzLIPPOcQM0eBhkiolDT1CTw7AsuXHCJwKrVgMEAXHWFgr/cq8BsHnzn5ITj5X2sWQvU1zNOEBGFO5dL4MGHBaxWYNZM4MzTA/M4kyYqKJgE2O3Ahx8H5jGIQhWTXRR2vvxadiQWHA2MGBGYWV0dnXWGXKZisXD7XyKiUGKxCPz3dYHzLxZ49b/ye3zSROD5ZxT8/DIFBoN/YkhmhoKcbMDpBL7nUkYiorC39Eu58iMyArj9D4FbaQK014b86GMBp5N9ESIVk10UVhwOga+XyWN1JD3QdDoFN9+oQKcDvl0JbN3GIENEFOy++VbggkvkEpOmJiAjA3jwfgXPPqVgQo7/48fCBfI+V61mjCAiCmetrQLPPC+/63/5CwVJSYHtkxyzABgxAjhwENiwMaAPRRRSmOyisLJxE3C4DogdCRwxd+geNytLwSnuJZP/elpACHZmiIiCUXOzwF8ecOGeewUOHQKSEoG77lDwnxcVLJjv/917VQvmy9N1P8kZZUREFJ7e+h9w6BCQnAz87JzAP57JpGDxInm89CvGFyIVk10UVlaskl/wxx4Dvy0/8dWVv1IQEQFsK5RbABMRUXCprxe44SaBpV8BOh1w+aXAa68oOPlEBXp9YGNGTrZMrFmtwLofA/pQRESkkdZWgbffkf2RX1+hwGQamv7ISSfKx1mxQraBiJjsojAihMB338nj+fOHNtEFAGPGKDj/Z/L4P69ydhcRUTBpbRX47e8FdpUAcXHAvx5X8OsrdUPWEVEUBQsXyOOVXMpIRBSWPvgIaGoCxo8HFh07dI9bMAlITQHaLMAPa4bucYmCGZNdFDaKd8m16pERwMzp2rThgvMUREbItqxZq00biIjImxACf/u7QGkpMDoOePKfCqZMHvpBkQXugZjvvpc1JomIKHw4HO2zui69OPAzhjtSFAXHHiOPl69gfCECmOyiMLL6O/nFPncu/LJV/EDExio48wx5/OprDDRERMHg3fetWLYc0OuB++9TkJ6uTYyYMhkYFStH/bdu06QJREQUIGvWAgcPAqNGAScsGfrHP/YYxdMO1oYkYrKLwsh338vT+Udp04lRXXi+Ar0O2LIVKCtjoCEi0tLBQwL/eKQVAHD1VQqmTtEuRuj1CubOkcfrfmR8ICIKJx9/Kr/XTz4RMBqHPtbk5crakBYLsJa1IYmY7KLwsH+/QPEuQFGAefO0bcuYMQqOPloef/QJOzNERFp66mmBpiaB/DzggvO0bg0wd67sALEjQkQUPg4eFFjjrpV12inaDKooioKFC+XxylXsgxAx2UVh4fsf5OnkAiBulLYzuwDgzNNlG774EmhrY7AhItJCRaXAV8vk8S2/G9r6KT2ZO1ueFhcDdXWMD0RE4eDzpYDTBUydAs2WygPtK1zWrgWcTsYYGt6Y7KKw8ON6+WU+7wjtOzIAMGe2nEbc3Aws/cqqdXOIiIalV/8rIARw3CIj8vOCIz6MHq1gQo48/vEnbdtCRESDJ4TAp5/JvohWs7pUUyYDMdFAfQOws0jTphBpjskuCnkul8CGjfJ41kxt26LS6RScfpoMdv97l8kuIqKhtm9f+6yu3/w6StvGdKLW7VrLul1ERCFvVwlQXQNERACLjtW2LQaDgjnuGPPDGsYYGt6Y7KKQt6tE7mwVFQXk52ndmnannAzodMCmTQ7U1DDYEBENpY8+EXC55CBIwSSD1s3xcoS7btePP8oBGyIiCl1qfawj5gKRkdrPIj5qnmzDD2s0bgiRxpjsopC3foM8nT5NjmYEizHxCmbPksfq7AIiIgo8h0Pg08/l8ZlnBE9cUE2ZDERGAIfrgNJSrVtDRESDsWq1PF0wPzjizbwj5GlRsdyRmGi4YrKLQt76DfJLfPbM4AgwHR2/WLbpy68EhGCwISIaCt/9ABw6BMTFAQuO1ro1XRmNCmZMl8c/bdC0KURENAg1NQKlZYBeBxx1pNatkeLiFEzMl8dr1mrbFiItMdlFIc1uF9i8RR7PmqVtW7qzcAFgNgNVu4HiXVq3hohoePhiqRxcOPkkmVgKRjPdAzQbN3IghIgoVK10z+qaPh0YOSJ44s2R7qWMa9YyxtDwxWQXhbTtOwCLBRg1CsjM0Lo1XUVHK1gw3wQAWLWawYaIKNCamoRnJPvE44On49HZzBnydNMWueySiIhCj1qva2GQLGFUzZktTzduZG1IGr6Y7KKQptbrmjVD7oAYjI5bJJNdq7/TuCFERMPAytWA3S4HQLKzgjMuAEBONjBiBNDaKuuqEBFRaKmrF9hWKI/nz9e2LZ1NzJe1IRsagbJyrVtDpA0muyikqfW6Zs0K3g7NwvlG6HRASSmwbx9HVoiIAunrZfJ7dsni4I0LgBygmT5NHm/YqG1biIio/9avB4QAsrOBhHHBFXMMBgVTpshjxhgarpjsopDV1iZQuF0ez5qpbVt6Exenw5TJ8vi777VtCxFROGtsFNjgnvG75Dht2+KLWWrdrk0cCCEiCjXrfpLf3XNna9yQHsycwdqQNLwx2UUha1sh4HAACQlAcpLWrend0UfJYPP9GgYbIqJA+X4N4HQB2VlASkpwjbJ3Z+Z0ebplq9xwhYiIQoMQAj/+KI/nzA7OeKPWhty4GXA6GWNo+GGyi0LWlq3yS3v6NEBRgjPIqNQikZu3sENDRBQo6kYgC4KsdkpPMjPlBisWi9xwhYiIQkNlFXDgIGAyAtOmat2a7uVOAKKigOZmYGeRU+vmEA05JrsoZG3ZKk+nTgnuRBcgZxmMimWHhogoUKxWgXXr5PH8o4M/LgByoMYz8r5J06YQEVE//PiTPJ06FTCbgzPmGAwKprsTcet+tGvbGCINMNlFIcnhaK/XNXWKtm3xhU6nYKa7rthP6zmzi4jI3zZsBNoswLixQF6u1q3x3czpspOkbrhCRETBb/Nm+Z2t1sUKVjPc7WOyi4YjJrsoJO0qkbOkRowA0tO0bo1v1ELE6zdo3BAiojC09kfZ8Zg3L/iXtnekzuwqLJSz04iIKLgJITwrTIJ1CaNqhnvX302bHXC5GGNoeGGyi0KSGmCmTJazpkLBbPfMrsLtcidJIiLyH7VQ8BFzQiMmqMaPB+LjAZsdnhnLREQUvKprgMN1gNEI5Odp3Zre5eQAZrPcrbhqt9atIRpaTHZRSNrqLk4fCvW6VMnJcudIp1MWqiciIv/YVytQWQXode0zpUKFoiiY5W4zlzISEQU/9Xf8xPzgrdelMhgUTMyXx1u3atsWoqHGZBeFnI5Th0OhXpdKURTMcs/uYoeGiMh/1FldkyYBI0YEd8ejO2rNlw0bNW4IERH1acsWddBd44b4aMpkebq1kP0PGl6Y7KKQU+OeOmwKganDnc121+3irltERP6j1uuaMzv0El0AMMM9s2vHTi5zJyIKdu31ukIj5kyZLNu5bZvGDSEaYkx2UchRA0x+PmAyhUaQUakjK7tKWIiYiMgfnE6Bn9bL47lztG3LQCUnyWXuDgewlZ0RIqKgdeiQQHUNoCjA5AKtW+ObgknytGo3UF/P/gcNH0x2UcjZsjW0pg53lJgIxI+Wdbt2FmndGiKi0LezCGhuBmJiQm+2r4p1u4iIQsNm96B7dlboLJuPjVWQlakHwI1QaHhhsotCTnu9rtAIMB0pioIC9yjQtkJt20JEFA7UOlczZ8hCvKFqhlq3a5O27SAiop5t2xaag+7TpxkAANtYt4uGESa7KKTU1bdvmxsqU4c7m1zgXjfPYENENGibNsvv0hnTQzfRBbTvIllUBDQ3Mz4QEQWjHTvl6aRJoRVz1GQXl8rTcMJkF4WUQvdsqIwMYOTI0AoyKnXdfGGh3FmSiIgGxukUnh/u06dq25bBShinICUZcLnYGSEiCkYOh0BRsTyelK9tW/prmjvZtbNIPg+i4YDJLgopW9xTh9VC76EoPw8wGOSOkvv2ad0aIqLQVVIKtLYCMdFAVpbWrRm8GdPl6cZN7IgQEQWb8nLAZpMxJzVV69b0T2aGHlFRgMUCVFZp3RqiocFkF4WUre56XVMKQnNWFwCYzQqyMuVx8S5t20JEFMo2b5anU6cAen3oxgWVuhRz4yZt20FERF1tdy9hzMsDdLrQijl6veLZxGXHDm3bQjRUmOyikGGzCRS5dzCcEmJFITvLnSBPi4o5ek9ENFCbtsjv0GnTQqvT0ZPp0+VpcTHQ0sL4QEQUTHbulN/LkyZq3JAByncvvdyxk/GFhgcmuyhkFO8CbHZg1CggNUXr1gxObq7smHFmFxHRwAghPDO7poV4vS5VwjgFycmA0wVsYd0uIqKgohanz88PzQGWSe52q8+DKNwx2UUhQy3YO6UAUJTQDDKq9pldLFJPRDQQFZVAQyNgNgN5uVq3xn9Yt4uIKPhYLALl5fI41IrTqya6Z6SVlgJWK2MMhT8muyhkbFWL008J7UQXAORkAzodUFcHHDqkdWuIiEKPOqtrcgFgNIZ+XFCxbhcRUfAp3iVn3cbHA2PHhmbMGTcWiB8tn8euEq1bQxR4THZRSBCifXv5yQXatsUfIiIUpKfJY3ULYyIi8p2nXtfU0Ox09GT6NHlaXAS0tnLknYgoGKhL/0J1VhcgV8aos7u2s0g9DQNMdlFI2LNHzoIyGsNnuUqu+3mwbhcRUf90rNelJofCRWJCh7pdW7VuDRERAUBRkRx8yMsL7QGWiZ66XRxMofDHZBeFBLVQb14uYDaHdpBR5U1wF6nnjoxERP2ydx9w4CBgMITurli9URN4rNtFRBQc1GV/oT7oPlHdkZEzu2gYYLKLQsI2tV7XZI0b4kfqzK4izuwiIuqXwu3ydMIEuSw83LBuFxFR8LBaBaqq5PGEHG3bMlhqsq66Bmhu5oAKhTcmuygkeOp1TQ6fTo0aLPfvB+rqGWyIiHy1fbv8ziwIw1ldADDDPbOriHW7iIg0V14ul5aPipUF6kNZbKyChAR5XFKqbVuIAo3JLgp6TU0C5RXyeEoYFKdXRUcrSE2RxyXcEYWIyGfqzK5Jk8JnAKSjxEQFSUmyc6UO9hARkTbUJYw5ObLIe6jLnSBPi7lJFoU5Jrso6BVuB4QAUpKB0aNDP8B0lJUlT8vLtW0HEVGosNmEp+MRrjO7gPbZXazbRUSkrZJS+T0c6ksYVblq3eASxhcKb0x2UdDbqtbrmqJxQwIg253sKi1nsCEi8sWuEsBul8tJkpO1bk3gsG4XEVFwUAdYJuSEx6A7Z3bRcMFkFwW9bYXydHJBeASYjjIz5XMq48wuIiKfeJYwTgyP5SQ9UXdk3LmTdbuIiLTicglPbaucbG3b4i9qsquyUhbfJwpXTHZRUHM4BLa7OzZTw2gnRlV2pjytKJfBlIiIerd9h/yuDNd6XaqkJAVJibJulzroQ0REQ2vvXqC1FTAZgbQ0rVvjH2PGAHFxMr6UlmndGqLAMWjdAKLelJQCbRYgJhrIyNC6NYP3xRdf4N1330VpaSmEEEhPz4AizkBr2xnYu09Bio9Lcvbs2YNzzjmnx8tHjx6Nzz77zE+tJiIKHurMroJJ2rYjEPbu3Yu3334bO3bsQE1NDQ4daoDLpce9f0rFeecdhwsvvBCRkZE+398111yDjRs39nodRVHwww8/DLbpRERhSV3CmJkJGAzhMciiKApyJwisXSeXMk7qo/7lhg0b8Pbbb2PLli1oampCbGwscnJycM4552DhwoVD02iiAWCyi4KaOppdUADodKEdYP72t7/h/fffh9FoxOTJkxEZGYmtW7fCbv0bFN1WlJf/0edkl2r06NGYN29el/NjYmL81GoiouBRVyewdy+gKMDEfK1b43+lpaV44403EB8fj/T0dIxLmI7t2xtR31CIZ599Fl999RWeeeYZjBw50qf7O/LII5GUlNTtZUVFRSgtLcX06dP9+AyIiMJLuBWnV+VOgEx2lQgAPfexnn/+ebz44oswmUyYOnUq4uLicODAAWzevBljx45lsouCGpNdFNS2bnUXp58c2omub775Bu+//z5GjhyJxx9/HPn5spd28OBBXHTRjWhq+gxLlx6B+Uef2K/7TU9Pxz333BOIJhMRBZ3CHfI0PQ2IiQntuNCd/Px8vP7668hyb9W7d6/AeRcJ6HQtmJx/BzZs+An//ve/ceONN/p0f5dffnmPl/3qV78CAJx00kmDbzgRUZgKt+L0Krkjo+i1SP0nn3yCF198EQUFBXjwwQcxbtw4z2UWiwU1NTWBbyjRILBmFwW1rdvk6ZQQr9f13nvvAQAuvvhiT6ILAMaMGYNFx/0WALBmzX81aRsRUajYvl2t16VxQwJkzJgxnkQXIOt2JSYALlc0Fh5zJQDgp59+GvTjVFVVYfv27TCbzVi8ePGg74+IKFypya6cMJzZBciaXQ5H17rBFosFTzzxBKKiovDwww97JboAICIiAtnZYVKxn8IWZ3bRgKg1o2bMmIFHHnkEzz77LL755hs0NDQgPT0dV111FRYsWAAAWLZsGV577TWUlZUhMjISS5YswXXXXYeIiAiv+7RYLHjrrbewbNky7N69G0IAFmsWDMazMTH/1C5t2LRpE77++mts3LgR+/fvh81mQ2JiIhYuXIjLL78cI0aM8Lr++vXrcd111+GUU07Bb3/7WzzzzDNYuXIlGhsbMX78eFx00UU4/fTTA/J6FRUVAQBmzpzZ5bIjj5yBjz7UoalxF/bt24fExMSAtIGIaKj5O1YUbgeEsKCh7m1cfvk32L17NwAgKysL55xzDk49tftYsWrVKqxZsyboY0V3ZkwHPl8KlJToAQBGo3HQ97l06VIAwKJFi7jsnYiGhYHEo9LSMlitkVD0i5Gach0A75qJnfsuQN/xKFj6LsnJsiZycwtQUdl1p8lvv/0WDQ0NOP300xEfHz+gxyDSGpNdNCgOhwPXX3899uzZgxkzZqC+vh6bNm3C7bffjkcffRSlpaV48sknMWPGDBxxxBHYtGkT/ve//6GhoQH33Xef534OHz6MG2+8ESUlJYiPj8eMGTNw8KBAcfFWOGz346mnduKWW27xeuwnnngCJSUlyM7OxuzZs2Gz2VBUVIRXX30V3333HV544QVERUV1aXNzczOuuuoqtLW1Yfr06Z42P/DAA3C5XDjzzDP9/jq1tbUBQJcgBgDZWUbI4NmC4uLifiW7Dh8+jOeffx4HDx5ETEwMCgoKsGDBAr90hoiI/MUfscLpFCjcfhhO201Y8W17rBBCYOvWrfjLX/6CHTt2hHSs6M706Qo++6INK1f+BwBw9NFHD/o+1WTXGWecMej7IiIKJf2JR/n5R2Dz5k0Qznfw2GONffZdQikeKYqCnByBTZtlkfrOya7169cDAKZMmYKmpiYsXboUpaWlMJvNmDp1KhYuXAiDgakECm78hNKgbN26FbNnz8Z7773n2SHqk08+wf3334+HH34YjY2NeOGFFzBxotzm48CBA7j88svx5Zdf4uqrr0ZKSgoA4P7770dJSQkuuOACXHfddTCZTHj0MRdKKw8jNvoWvPPOOzj66KNx5JFHeh77iiuuwNSpU71GpW02Gx555BF88MEHeOONN3DFFVd0afPKlStx/PHH449//CNMJhMAYMWKFbjtttvw8ssvdwkYvuxm1dndd9+N0047zfO3Wsxx3759yMzM9LpuTEwDgBYAQEnJPvSnzmNlZSVefPFFr/MSExPxwAMPoKCgoF9tJiIKFH/EisoqoKXxAUCU4LzzzscNN1zv+Q4/dOgQbrml51ixcOFCOBwOz3nBGitUjY2N+Oc//wkA2LevHk5rIRqtDZg/fyEuvvjifj1GZ1u3bkV1dTViY2OxcOFCNDc3D+r+iIhCSX/i0Vv/E9i2cz904hc+9V2AvuNRMPZd7vsz4HJ6x6Py8nIAQH19PS666CIcPHjQc9mbb76J7OxsPPLII0hISPD5cYiGGpNdNCg6nQ633nqr11bop5xyCp588klUV1fjl7/8pafzAgBjx47FiSeeiDfffBMbN25ESkoKiouL8f3332PSpEn47W9/C51OlpLbtAVQlNG45JLb8cQTv8B7773nFTCOOuqoLu0xmUy46aab8PHHH2PlypXdBozo6GjccsstnmABAMcccwyys7NRWlqKPXv2IDm5fVvE3naz6klqaqrX39OnT8dXX32FTz/91Os5AMDnn3/qOd67t9Wn+zeZTDjnnHOwZMkSZGRkwGw2o7y8HC+99BK+//573HTTTXjllVf63W4iokDwR6z4ZnkxhOsHREVPxM033+SJFQAQHx+P22+/HT//+c+7jRUjRoxAXV2d57xgjRUqi8WCzz77zOs8RbcYZ539+y4lAPrr888/BwAcf/zxnAVMRMNOf+LRrhIBRRmLifknYsvmvvsuQN/xqLOhikdmsxlWq9XrvJo9wJYtwOjRXeNRU1MTAODZZ59Feno67r//fkyYMAEVFRV4+OGHUVRUhDvuuAMvvvgiFCW8ivdT+GCyiwYlKSkJaWlpXufpdDokJiaivr4eRxxxRJfbqCMihw4dAgCsXbsWALBw4UJPsGhsFCgrk9c/+eQ8vPhiFLZv397lvvbv34/Vq1ejsrISLS0tcLlcAGRNE3XtfGf5+fmIjY3tcv748eNRWlqKQ4cOeQWM3naz8tUll1yCb775Bl9//TUSEhJw3nnnISIiAsuXL8dzzz0HRdFDCCfqG33bM2LMmDG49dZbvc6bPHkyHnnkEdxzzz348ssv8Z///Ae33377oNtORDRY/ogVa36QsSIvb6FXx0KVl5eHqKjuY0VtbS0++eSToI8VqnHjxmHNmjUQQmD//v24/c612FH4LP74x0vx9FOPeG100h8OhwPLli0DwF0YiWh46k88UovTZ2UlY8vm3vsuHfUWj7Tqu8TFxXkN+sjnJ/DLKwWcApg2zTthpbZLr9fj0Ucf9czgKigowKOPPopzzz0X27dvx7p167qN4UTBgMkuGpSxY8d2e746WtLd5eplNpsNALB3714AwDPPPINnnnmmy/VPOUWedh6NeP311/HUU095LU3xRefdRFTqGnm1Xf6Un5+Pu+++Gw899BBee+01vPbaa57Ljj76aOyu1qOqciVaWwZfKPgXv5BTrdesWTPo+yIi8gd/xIqaGhkrNm54FvPmPdvjY3UXK55++mnY7fZ+tVmLWNGZoihISEjAKaecjuJdWWhrvRr3338/Xn311QGNpH///fdoaGjA+PHjMXlyiG9zTEQ0AL7GI5tNoKJCXjZ+vPf3fl99F1Ww910y0gGDQRapr60FOpYNVl+P2bNnd1mqOHr0aBx11FFYtmwZNm7cyGQXBS0mu2hQ+vqx7cuPcSHkdrfTpk3zjOTvLALKy4Hx44HJ3ZSe2rZtGx5//HHExMTg5ptvxsyZMxEfH++Z3nvaaad5rS3vb5s6euWVV1ChRjsfnXHGGZg+fbrXeSeffDJmzZqFZcuWoaqqCmazGbNnz8bRRx+N8y+4GgDQ2pbVzb31z/jx4wG0jz4REWltsLHCahVoaJSxYuLEacjMTPHpcdVYMWLECNx+++0hESu6M20qoOgmQadPQ0lJCfbs2eOJl/2hFqbnrC4iGq58jUcVlYDTCYwYAcSO9L5Od32Xvmjdd+luGSMAmAyAtRX46qszcNll0z3nJyUlobi4uMfl+er5nWeLEQUTJrtIc+oIysKFC3HJJZcAAK66xgW9CbjiCgUnntD1C/7bb78FAPzmN7/psrWvxWLxa6Lnhx9+6HfR4ZkzZ3bbgRk3bhwuuugir/MsFgv21+4CEIVDdXmDaKnU2NgIAF61CIiIQllpGQDIWLFkSXus6IsaK26++Wacok4TdgvmWNFZdhYQFQU01sllLHV1df1OdrW0tGD16tUAmOwiIupLiXsJ44Scrpd113fpS7D3XQp3zAQw3fN3bm4uVqxY4and1Rn7GxQKmOwizc2dOxfPPfccVqxYgUsuuQStrQLFRfKyadO6v436xdvdtN5vvvnGM+LiD08//bTf7qs7n3zyCazWNij6c3D4sBnNzQIxMQMv9Lh8+XIAMkgREYWDHTsBRTcXwPOeWOELNVZ0t1tUKMUKvV5Bfl4z1v1QDEDxqs3iq2+++QZWqxVTp04d0KwwIqLhZFeJjA/dJbs69118oXXfpbuaXQDwxlsC/3pawNApK7BgwQI8//zz2LJlCxwOBwwdruByubB582YAsj4ZUbDyrRo2UQBNnjwZc+fOxZYtW/D3v/8dP61vgdMFJCYAiQky6bNr1y788MMPntuohSU/+ugjr3Xv5eXl+Ne//jW0T8BHO3bs6HLeypUr8eSTT2LUqFEYM/ZKAEBVh9qUf/7zn3HBBRd4RoNUH3zwQbfLZZYvX46nnnoKAPCzn/3Mb20nItJSUZGAoitASsocT6xoaWnpcr2eYsU777wTErHiww8/RE1NTZfz9+/fj9o9fwLQijFjj8Lo0aO9Lr/++utxwQUXoLCwsMf7/uKLLwDIJfVERNQ7tTh9TnbXAejOfZf+xKNg67vkZMvTklLv83NzczF37lzs27cPzzzzjFcy7uWXX0ZlZSXi4uJw7LHHDl1jifqJM7soKNx777246aab8O677+Ljj7+E0zEBLscY/P73LSgpKUFtbS0uuOACz/a9p512Gl5//XWsXr0a559/PiZOnIjGxkZs3LgRxxxzDAoLC7Fv3z6Nn5W3X/7yl0hNTUV6ejoiIyNRVlaGsrIyxMbG4tFHH8XTz41C3UagsgqYJHc8xr59+1BZWYnm5mav+1q6dCkeeugh5OTkIC0tDS6XC+Xl5aisrAQgd39k8CGicLHTPdv3yqvuxRuv34x3330XX375JSZMmIAxY8agpaX3WLF8+fKQiBVffPEFHnzwQWRmZiI9PR0GgwG1tbUoKiqSBYiVTEB3G4QQXjVcqqursW/fPlgslm7vd//+/di4cSOMRiMWL148VE+HiCgkCSE8yxhzcoCinV2v07Hv0p94FGx9lxz3zLWaPUBrq0BUVHtsueuuu3DllVfiv//9L1auXIns7GxUVFSgvLwcZrMZf/7zn7mMkYIaZ3ZRUBg9ejSef/55/O53v4PRlAHhKkbtvuUoKSlBcnIybrjhBq9pwrGxsXj55ZdxwgknwG63Y/Xq1Thw4AB+/etf47777tPwmfTswgsvRFRUFLZs2YKVK1fCbrfjoosuwhtvvIGJEyciPV1er6qq72nMZ555Jo477jhYLBasXbsWq1evRmtrK4499lg8/vjjuOGGGwL8bIiIhobDIQsFA8Cc2e2xIiMjA8XFxVi+vO9Ycdppp4VErLj00ktx+umnAwA2bNiA5cuXo6qqCgUFBbjxxt/BHPUy6hvGYM+e/t3v0qVL4XK5cNRRR2HkyJF934CIaBirrZU7FBoMcsfC7nTsu/QnHgVb3yVulIL4eEAIoKzc+7KEhAS88sor+NnPfgabzYZVq1ahvr4exx9/PF566SXMnTtXm0YT+UgRPi4QDuWdFnpao0y+GcrXz2oVOPk0AZsdeP1VBWnjB167Klj4+vr9712Bx54QWLgA+OtfmIdW8f/vwAXqtYuLi+vzOoF6z/h56Fm4vjabtwhcd6PAmDHAB+8M7LsxXF6ba653Yes24M7bFJxy8uDjY7i8LoHA16Z7A3ldfIkZfQml94KfHf/R6rVctVrgjrsFJuQAL78QHr/Je3stf3+rC2vXAbfcrOCsM0O/7xVI/P/tP4N5LX2NK+Hxv5fCxo6dgM0OjI4Dxqdq3Zqhlep+vt2UayEiGraK3EsY81kDF1OnyNPNW/1XyJiIiLy11+vSth1Dpb1uF2MLhRcmuyiobHDvkjt9OrzqkQwH492bY1XXAC4Xgw0REQDsLJLfh/l5wysmdGfaVPkabN6icUOIiMJY+06MwyPu5LifZ+ci9UShjskuCiobNsrgMmvm8AguHSUmAnodYLUChw5p3RoiouCwgzO7PCZPBhQFqK4GDh/moAgRUSB0LE4/HKgzu0pLOeBO4YXJLgoaFovANveu6bNmaNsWLRgMCpKS5PHuam3bQkQUDJqbBXbvlsdMdgEjRyieYsmF27VtCxFROGpqEtjr3hRxuCS7xqcCJiPQZkG/N0AhCmZMdlHQ2LpN7ro1biyQkqJ1a7ShPm/W7SIiAop3ydOkRGDUqOE347c7kwvkaeF2jr4TEflbaZk8TUyQAwzDgcGgIDNTHnMpI4UTJrsoaKhLGGfOHH71ulRqUf7dNezEEBHtdC9hzMvVth3BpGCSjI/qTGgiIvKfXcNsCaNKfb4sUk/hhMkuChrrN8jTWTOGZ6ILAFJS5HPnzC4iog5FgicM37jQWYF7ZtfOIsDhYKeEiMif2ovTa9yQIZaTzSL1FH6Y7KKg0NIiPNvLzxiG9bpUqe6ZXdWs2UVEhF3uZYy5nNnlkZ4GxEQDFgtQVq51a4iIwkt7cfrhNciiFqlXnz9ROGCyi4LC5i2A0wWkJAOJCcMruHSU6q7ZVV0DCMEReyIavtraBCqr5HHuMBth741Op2DSJHnMIvVERP7jcAiUV8jj4TazK9ud7NpXK4v0E4UDJrsoKKzvUK9rOEtKBPQ6wGoFDh7UujVERNopLQOEAOJHA/Hxw3cQpDsF7mTXtkJ2SIiI/KWyCrDbgeho+Zt8OBk5QkFCgjxWi/QThTomuygobGC9LgByN5REd3CtZt0uIhrGirmEsUdqkXrO7CIi8h9Pcfrs4blZlmcpI+t2UZhgsos019AgPMFl5jCu16VS63axSD0RDWfFxcOzSLAv1GWM1dVAfT1ndxER+cNwLU6vaq/bxbhC4YHJLtLcps3yNCMDGD16+I2idKbW7dpdzUBDRMNXsXsQJC+XcaGzkSMUpI2XxzuKtG0LEVG4GK7F6VXckZHCDZNdpLn1G2RSZxZndQEAUlNloOEyRiIarux2gXL3ToMTJmjblmCVnydPi5jsIiIaNCGEJ9k1bGd2uZ93WTngdHLQnUIfk12kuQ0b5enMmcNzFKWzlGR5umePtu0gItJKRYUsEhwTM/yKBPsqL0/GzKIidkiIiAbrwAGgoVFuFJWRrnVrtJGSDERGADabXCZPFOqY7CJNHTokUFEJKAowY5rWrQkOyWqya68cZSIiGm7UJYy5E4ZnkWBfqDO7dnJmFxHRoKlxJz0dMJuHZ9zR6RRkZcljLmWkcMBkF2lqwyZ5OiEHGDlyeAaWztRZDC0tQGOjtm0hItLCrl3uIsFcwtijCTlyoOjAQTlwREREA7fLvQPwcI87apH6XSxST2GAyS7S1Pr18ouUuzC2M5sVjBkjj/fs1bYtRERaKCqWp7nDtEiwL6KiFKS7l9qorxcREQ2MugNw3oThHXfU4vyc2UXhgMku0tT6DfJ01qzhHVg6S06Sp6zbRUTDjcslPD+yc3O1bUuwy3O/PlzKSEQ0OOoyRs7skqdMdlE4YLKLNFOzR2DvPkCvB6ZN0bo1waVj3S4iouGkugZoawPMZiBtvNatCW757iL1O1mknohowBoaBGpr5fFw3YlRlZ0ll8gfPAjU1zO2UGhjsos0o87qKpgkl2NQu5Rk+Xrs2cMgQ0TDS7F7SV52FqDXMzb0Ri1Sz2WMREQDt8s9qys5GYiJGd5xJypK8ewMz9ldFOqY7CLN/OSu1zVrpsYNCUKeZYyc2UVEw0yxuygulzD2bUIOoNMBhw4BBw9ycISIaCCK3cXpc4f5rC5Ve5F6bdtBNFhMdpEmXC6BDe6ZXbNZr6sLzzJG1uwiomFG3RErd5gXCfZFRISCDHeRetbtIiIamF2eQRbGHaBjkXoOolBoY7KLNFFaBtQ3ABERwKSJWrcm+Kgzu2r3A3Y7Aw0RDQ9CCM8yRo6w+0Zdysi6XUREA6PGneFenF6V446/XMZIoY7JLtKEWq9r2lTAaOQoSmejR8vizC4XPAUziYjC3f4DQEOj3LgkM1Pr1oSGPHeRetbtIiLqv7Y2gard8piDLJK6jLGykoPuFNqY7CJNrN+g1utioqs7iqKwbhcRDTvqEsaMDMBsZnzwRZ67ttnOIjkzjoiIfFdaBggBxI8G4uMZdwAgYRwQEwM4HEBFhdatIRo4JrtoyDkcAps2y+PZs7RtSzBj3S4iGm5YJLj/crJlkfq6OuDQYa1bQ0QUWtS4wyWM7RRF8czu4lJGCmVMdtGQ274DaGsDYke2T5OlrtpndnGknoiGh7Iy+X2nFselvkVEKBifKo9LuHMWEVG/7NrlLk7PZJeX9rpd7IdQ6GKyi4acWq9rxgxAp2OHpifJyfK14cyuDoSQ/4goLJWUydOsUK7XpcH3FLeJJyIamKLhsAOwEP1e5j7BsyNjIBpENDSY7KIhp9brms16Xb1iza5OhIDph3/B9MO/mPAiCkMWi0BNjTwO2Vm/Gn1PcZt4IqL+czgEysvlcdguY3THJdfyf/QrLnUcRGE9SApVBq0bQMNLW5vAtkJ5PIv1unql1uyq2SODjKIM8+Sg0w6lrsJzDINJ0+YQkX+VV8jf4XFxQFxciH7fafQ9pS43KeUIPBGRz8orALsdiIluH2QOO+64JFpM/YpLGemAXgc0NgIHDgDjxgW4nUQBwJldNKS2bJU7e4wbB6SmaN2a4JaUKE9bWoCmJm3bQkQUaKXhsIRRIxPcI/BVuwGrlSPwRES+UHcAzskBB5U7MZsVpKXJYy5lpFDFZBcNqfUb1SWMDCp9iYhQEB8vj1m3i4jCXal7CV7ILmHUUHw8MGoU4HIBZeVat4aIKDQUl7A4fW8meIrUa9sOooFisouG1ObN8nTGdCa6fKFOqa5h3S4iCnNqkiYri/Ghv7y2iWeReiIinxQVydPcXMad7qj1IHeVcMYwhSYmu2jIWCwCRcXyeOpUbdsSKtS6XZzZRUThTAjhqTeVnaVtW0KVOgLPTgkRUd8cDoFi9zLGiXnatiVYeQZROLOLQhSTXTRktu+Q9brGjAnjIpB+1r4jIzsvRBS+Dh8G6hsAnQ7IzNC6NaEpJ5vbxBMR+aq8ArBagehoYPx4rVsTnNRkV3W13GSMKNQw2UVDZstWeTptCut1+So5Wb5OnNlFROFMXcKYkiKL4lL/5XSorcJt4omIerdzpzzNywV0Osad7owerSB+tNwpmfUgKRQx2UVDZstW+eN76hQGFF+1z+zSth1ERIFUwiWMg5aeBhgMQGsrUFurdWuIiILbjiLZL8nP17ghQS6bSxkphDHZRUPC4RDYuk0es16X71LcNbv218rXkIgoHJWVye+3bBanHzCDQUGaeykOR+CJiHqnzuyamMe405sc1oOkEMZkFw2JklKgrQ2IiQayMrVuTegYPRowmQCniyP1RBS+SsvkKWd2DU6mO74y2UVE1DOrVXjizkTO7OqVWg+ylDO7KAQx2UVDYssWeTplCqDXcwTFVzqdwqWMRBTWHA6Bigp5zGTX4GRlyvhaXsEReCKinuwqAZxOYNQoICFB69YEt447MrpcjC0UWpjsoiHBel0Dl8RkFxGFsZoawGYHIiPav+9oYNSZ0+Wc2UVE1KOdRfJ0Yj43zepL2njAZJQrdPayL0IhhskuCjghBDa7d2KcOkXbtoQidWbX3r0cTSGi8FPiXkqSmckdsQYrM0OeVlQATidjBhFRd3bsdBenz9O4ISHAYFA8S+R3lWjbFqL+YrKLAm53NVBXJ0cFuC6+/5KSZOePM7uIKBy1F6fXuCFhICkJMJvlTLmaPVq3hogoOHmK0+dzgMUXapH6klIOolBoYbKLAm6Le1bXxImAycSg0l/tM7u0bQcRUSB4itNnMz4Mll6vICNdHpdXaNoUIqKg1NwsULVbHnMQ3jdqkfoSFqmnEMNkFwXcli3uel1TNW5IiPLU7OIoPRGFITXZxZ16/SOTdbuIiHpUVAwIIQvTx8VxkMUXE9SZXVzGSCGGyS4KuM3unRhZnH5g1JldDY1ASwunDxNR+GhtFZ5Zq1zG6B/qjoxl5YwXRESdbd8hTyeyXpfP1Pi8rxZobGJsodDBZBcFVF2dQM0eQFGAKQVatyY0RUcriB0pj1m3i4jCSZl79tGYMUBsLAdE/EGd2VXGmV1ERF0UbpfJmsmTGXN8NWKEgsQEeVzKpYwUQpjsooAqdI+epKcDMTEMKgOVnCxPWbeLiMIJlzD6n7oj4+7dgN3OEXgiIpUQAtu2yePJHITvl/Yi9dq2g6g/mOyigNruHj2ZNFHjhoQ4T90uJruIKIyUund2ysnWuCFhJGEcEBUFOJ0y4UVERFJ1DVDfABiNQO4ErVsTWtS6XbtKOIhCoYPJLgoodV38pImc1TUY7TsyMsAQUfhQl9plZTFG+IuiKJ6ZclzKSETUbluhPM3P4w7x/cUdGSkUMdlFAeNyCezcKY8LOLNrUJKSZIDhzC4iChdCCM+PZhan9y/PjowVHCAhIlJt2+au18UljP2mLmMsLwccDsYWCg1MdlHA7N4NNLcAZnP7D28amPaZXdq2g4jIXw4cAJqbAb0OSE/TujXhJTND3ZFR44YQEQURdWbX5ALO6uqv5CQgOhqw24HKKq1bQ+QbJrsoYNQljHm5gMHAoDIYyR1qdgnB0RQiCn1qcfq0NC4n8Td1GWM5k11ERACAlhbhGQAo4MyuflMUpUPdLm3bQuQrJrsoYAp3sDi9vyQkADodYLMBhw5r3RoiosHz7MTIJYx+pya7avYAFgsHSIiItu8AhJCbPo2J5wDLQOSwSD2FGCa7KGA8xeknMaAMlsGgYNxYebxnj7ZtISLyh7Iy+WM5m8Xp/S4uDogdKTt2XG5CRARs3SZPWa9r4CbkuIvUc2YXhQgmuyggrFaBUnfhYc7s8o/kZHnKul1EFA7UmV0sTu9/iqJ4amWybhcREbCtUC1OzwGWgeq4jJFlVSgUMNlFAVFSCjidcnQ5YZzWrQkPSR3qdhERhTK7XXhmHDHZFRjckZGISHK5BAq3y+Mpk7VtSyjLSAf0eqCxEdh/QOvWEPWNyS4KiOJd8jQvV44w0+AlJ8nXcc8edlyIKLRV7QYcDrmzU0KC1q0JTxlpMmZUcRkjEQ1zFRVASwsQGdFe05D6z2RSkJEhj3ft0rQpRD5hsosCoqhIJmRyJ2jckDCizuzau0/bdhARDZanOH0mB0QCJT1dnlZUatsOIiKtbS2UpxMncof4weKOjBRKmOyigCgqlqd5eQwo/pKsLmNkgXoiCnGlpWpxeo0bEsbS0+Tpnj2AzcYZwUQ0fBV66nVp3JAwoBap546MFAqY7CK/s9mEpyBuHmd2+Y2a7DpwkB0XIgptaozIzuaASKCMGQNERQEuF1Bdo3VriIi0o87smjKZMWewOLOLQgmTXeR3ZWWyOH3sSNZi8ae4OCAiQm4lv69W69YQEQ1cx2WMFBiKoniWMlZyKSMRDVP19QK7d8vjgknatiUc5GTL0717gaYmDr5TcGOyi/yuyF2wMJfF6f1KURQkJcrjvdyRkYhCVGOTwP798pjLGANLXcpYySL1RDRMqbswpqcBI0eyXzJYI0cqSHRPZlAHroiCFZNd5HdFxTLLn5ercUPCUHKyPN3DZBcRhahy9xLGhAQgJoYdj0BKd+/IWFnF0XciGp62qfW6JmvckDDCpYwUKpjsIr8rdhenz81lJ8bfPDsy7mXHhYhCU0mpPOWsrsDzzOziMkYiGqa2bpOnUwrYL/GXHE+yi/0RCm5MdpFf2e3CM6WVM7v8LzlJBmruyEhEoaqsjDsxDpUMd82uqt2Ay8VOCRENLw6HwM4ieVzAnRj9Rt2RsYQzuyjIMdlFflVRCdjtQExM++6B5D/qa7pnn7btICIaKE9x+iyOsgdacjJgMAAWCzx10oiIhouSUvn9FxPTPtOVBk9dxlheISc6EAUrJrvIr9TlKTnZLE4fCJ5kF2d2EVEIEkKgzF2zizO7As9gUJCaIo8ruJSRiIaZbYXydHIBoNOxX+IviYlATLSc4MANUCiYMdlFflVaKrP76ra05F+J7t0Ym5vljmZERKFk3z6gtVXONkobr3Vrhod0dSkjOyRENMx4itOzXpdfKYrSoW6Xtm0h6g2TXeRX6vKUbC5PCYioKAVxcfJ4L3dkJKIQo8aIjHQ564gCT126U8EdGYlomNnmLk4/mfW6/M6zI+MuxhYKXkx2kV+VqrtscWZXwCR7dmTUth1ERP3VPiCibTuGk/Q0mVTkjoxENJwcPCiwrxbQ6YBJE7VuTfhRi9RzZhcFMya7yG8OHxY4XAcoCpCZoXVrwleSWreLyS4iCjGl6k6M2ZzVNVTUZYysq0JEw4larys7S66MIP+a0GEZoxCc3UXBicku8ht1xD4lBYiMZFAJFE+R+r0MLEQUWsrUnRgztW3HcKLWRquvBxoaGDeIaHjYqtbrmqxxQ8JURoasv9ncDNTWat0aou4x2UV+49mJkctTAio5SSYSuSMjEYUSq1Vg9255zGWMQycqSsG4cfKYs7uIaLjw1OuaxAH4QDAaFc9KHi5lpGDFZBf5DZenDI3kZHm6d5+27SAi6o/KKsDpAkaOBMaM0bo1w0uGupSRdbuIaBiwWgWKd8ljzuwKnAnckZGCHJNd5DdqcfocFqcPqKREebpvH+BycUkKEYWG0g5LGBWFgyJDiTsyEtFwUrwLsNuB0XHt5T/I/3I8ReoZWyg4MdlFfuFwCFS4R4y5E2NgjR0L6PUyiB88qHVriIh8U1oqfwxzQGToqTsyVnEZIxENA2px+oICDq4Ekjqzq4QzuyhIMdlFflG1WyZfoqKAxAStWxPeDAYFCe7XmDsyElGoKCuXp1lZ7HgMNXVHxgouYySiYaBQLU5fwHgTSOrg1d59QFMTZ3dR8GGyi/xCXZ6SnQXodAwsgaZOyd7LZBcRhQh1qTt3Yhx6as2ufftkLRsionBWuF2eFkzSth3hbsQIxVNeRd2ojCiYMNlFflHiXqvNHbaGRpI72bVnLzstRBT86uoFDh2Wx0x2Db1Ro4ARIwAh5ExsIqJwVbtf4MBBQK8D8vO0bk34y2GRegpiTHaRX3hmdnEnxiGRnCRfZy5jJKJQUOaOEcnJQFQU48RQUxSFOzIS0bCg1uvKzgEiIhhvAm2Cu0h9CYvUUxBisov8gstThpa6jHHPHm3bQUTki45L3Ukb6o6MldyRkYjC2Pbt7npdXMI4JNQi9cW7tG0HUXeY7KJBa26W04UBJruGSnKyPN27T9t2EBH5oqyMS921lubekbGSOzISURjz7MQ4ibO6hoKa7KqoBOx2DqZQcGGyiwZN3d1pzBhZqJACTy0GefAgiw0TUfBrn9nFGKEVzzJGJruIKEzZbMIzw2hygbZtGS4SEmRNSIcDqKjQujVE3gxaNyBcKE21MG74Nwzlq6A01gCKDq7YVDizj4Nt9q8A84jub+i0wbDtPRh2LYXuYAkUSwOgKBBR8XAlFMA+6Sw4cxb3uz262kLoK1ZDv3cTdHu3QNd22HOZfdJZsJ70YPe3278dpu8eh37PBsBhgWtUBpxHXwXknN7t9SPe/jnmVa/Db/KuxU8x1/W7nX5laYBpw6vQl34DXX0lIFwQIxLhyFwI++wrIGLGDex+B/geKYfLYChbAcfBQkRV/QRdc237XabOQdv5rwz0mSI2FoiKAlpb5e5a6rbyPmurg2HXV9Dv3Qz93s1QDpdBQXvSrPl3OwbcNgDQ7dsG44ZXoK/5CUrrQcAQBdeYHNgnngHH5HMBnb7LbfRVa2Ba8xR0tYWAywnXmFzY5lwJHHFB1wdw2hH16pnQ1VXAcuJf4Sg4e1DtJfKXyLcvh776xz6v13z9T4AputvLlEMlMG16DfqqNVCa9wNCQESNhis+G87xR8A++1f9btdAYpRSvxum7x6FofIHwNYCMTIJ9oJzYJ9zZbf/h81f3AHj9g+6xBinU6C8Qh4PxcwufeV3MJR8Dd2+Qigt+6G01cGuKIgyx8I1JheOCcfDUXAWoDf1635jHpno83Wd8RPa/3DYoN+9Bvrd66DfuwlK834orYcAlxMiJgHOlJmwz7gUroTA9szUZYy7d8v3RK/vIfFoaUDUv0+DrvWg56xuY5Zwwbj+39Dv3QLdoV1QWg8D1ibAYIYYkQhn0jTYp5wHV/KMfrdVadoLQ8k30O3dBP3ezdA1tFfVd41MRuuVy7q/YethmFc/An35CihtDRDRY+DIPQm2o24AjJFdrm76/kmY1vwLjtS5sJz/n363kyhs2Fth3PwmDCXLoDtcBthbICJiIWKS4EydDfvUCyDiuv+xqduzEcat/4O++kcozQcAvQEiMh6ucflwZC6Uv/v6IeqFxdA1yjoddgAx3VxHRIxCy7U/eLdj/3YoSx/HN0s2wKy3QP91BuwzLoFjaje/IyH7MIbqdbDNuw62o67vVxsDwmmHofB9GIo/h+7gLiiWRgjzCBknkmfAMfmcgMeJznR7t8BQ9Cn0+7ZCadoHpa1Oxq6IWLhGZ8GZvQj2KedhQk4kNmyUReonTEBA44P6vd2XtrOegjNrUfsZ9laYvn8ChuKlUFoOQkTGwpl5LKwLfgdExnW5vaHwfUQsvROuuAy0Xv5hv38zUHBgsssP9FVrEfHxjVCsjd7nHyyG/mAxDNveQ9t5/4YY3WmNn92CyP/9HPp9W7rcp9K0F7qmvTCUfA37lPNhPf7P/WqTac3TMJT28GOwB7qDuxD55qVQHG0QehOEaQT0h3bB9dGtMB5ZBfuR3sksw85PYaheh3olBS/tuhJnnNWvh/Mr3YFiRLx/NXTN3uv6lLoKmOoqYNz2HtrOfhaulJn9u+NBvEfGzW/CtPFVCPh/CqWiKEhKEigtlUXq+5vs0tesR8TXf/JzqyTjTy/DtOofUISr/UxnA/Q166GvWQ/nzk/QdtbTXh19feX3iHjvKijCBWGMAgwR0NduReQnv4XLpAAZx3s/xoZXoKurgDNpOhyTzgrI8yDSgnHd8zB99xgU4fQ6X2msga6xBobylf1Odg0kRiktBxD55kXQtR6C0BkgIkdBV18F83f/hK6+CtYTH/C6L92ejTBs/xDCPAK2Bb/3umzPXsBiAUwmICWlX00fEMO2d2Es+rzL+TrHfuha9sNQuRrObe+i7bx/d5sA8TfdwWJEvn91t5cpDVXQNVTBsOMj2I65HfaZlwWsHYmJgNEI2GxA7f722o+dmVc87JXo6pHTDvPKv3c9394K5XAZdIfLYCx8H9aFt8I++5f9aqth15cwf/tQv24DuwVRb18G3eEyCEUHETUGuqa9MK1/Gbr9O2A572WvqysN1TD++AKEzgDbcXf177GIwohu/w5EfHBt19/QLQeBloPQ126Fa8wEODonu4QLpuUPwrTpv97nO61QbC3QNVRBV7ut38mugVD7MFGONlh1JlgxAiMO7YL+63thbTnYYx/GNTIFtrlXBbx9fVEaaxDx/m+gP+S9paHSdhhoOwz9gR1AZBxsQ5zsMpR8BdOGroPzSutB6FoPwlC9DsbNb2B69ivYsHEsdpUIAEpA48OACIHI93/jGYx0RY+D0noQxm3vQLd3I9oueRcwmNuvb22CadX/ycNj72SiK4RxGeMgKS0HEPHxDZ5OhIACZ8osOJOmea6ja9mPyPd/A9gtXrc1bvqvVxJF6I1wpB8FZ9J07+ttfRu6mvUDbqMwx/p0PeOPz8tEl3kEWn+1FK2/WQ177kkAANOPLwD21vYr21pgcn+JvVl3G2wuMzLSNVqeYrcg4sNrvIK0M6EAztQ5EIqcfaDYmhH5wbUycPeDv94jX9+D/vAUqR/kjoxCb4YwRAy+QQD0ZStgXvmwJ9EljFFwpB8F16j2H0j66h9h/vper9uZ1jwFRbjgik1Dy6+/RcvVK+F0j/Y4l/3N+0HsbTD99DyEooP1uLsBhcuiKDg5EybDMeGEbv9B13WsybjhVZhXP+JJdAlFB2f8BDgyF8KZMFkmgvtpoDHKuOl1mehS9Gi75H9ovXoVbLPkD1Jj4XtQ6jushRMumL/5CxQI2I68DiJ6jFcb1J0YMzPQ82yiAHCNTIEzdQ4cmQuBUalel+n3bYFx4397uGX3enovHRNOgCsq3uu6IqL773xhjIJj/BFwpM2D6JDwV4QLpm8flDNbA0SvVzDe/TL0tJRRX7UGxsL3+nW/Qm+Gc0wuHBkL4EidC2HwTiCaVv0flKbaHm7tw/0boyB0xj6vZ9j5iZyRAsBy5pNovXoFrIvulpftXgN91Rqv65u/fRCK0wr7tIvgGpM74PYRhTKlcQ8i//cLr9/QruhxcKQdCUfqXLhG9JAVB2Ba8bBXokvojXCOnShj1tiJEHpzj7f1uX0Z87r/3s0+zut6ah+mTYzA6cs+x6sJq3zqw1iPvd07yaEFazMi3/65V6JLRMbJ+JV2JFyxaRo2TnLFJMCZPBOOzGPgivOevKGrr8KpUU8BaC9ZoAp0fHCNTO4xLovo9hU9+t1rPIku66K70Xr1CljOfFJedqgUhp2feLfr+yegaz0ER/ZiODMXDLh9pD3O7Bok48bXoFibPH9bF/8RjmkXycvWPAXz908AAHQNVTBueRP2Wb/wXFffKTliOecFOMfPlbf94V8w//Bk+3X3bIIrZZbP7XLknghH/ilwJsoOTfSLS/q8jb52OwDAOf4IiBGyKJRj4ukwFn8BxWGB7lApXIlTAMiZY7rmWjjS5+PDdXIJX0aGz80bGOGCfvda6Hd9BdviezxnG3Z85JnuDAC22VfAtvAWedn2DxHxxe0AAMXaAOPaZ/s1gjuY98iZdiQsCZMQk7sA9frRiHnUv9vCJCcBClwwVq+DadnXXq9JX8SoNFiPuxvOxGlwjc1D5LtX+LT0qi+mdc+2P4aiR9uFb8A1NhdwORHx/tUwVH4HADDu/AT2Wb/wTMdWO3iO7EWe5VSO3JOh37MRaKgBWg8DJjmRXX9gBxR7G+xTLxjy6dxE/WGffrHPS2yVpr2eUUQAcI1Kg+XUR7w/40479BWr+9WGgcYo9f+ka2wuXGPzAQCOSWfCtF7OjtHt3w7nKPkD3LDlLej374AzPgf26Zd0aUNJaWCK0+v2boZx+wewLrjFa6aoY8r5sB19M8So8Z7zRsXGovWju2Fa/5LnPH3Netjh+4i+5fTHur/A2ozo547x/CmMkV4/sgGZeLPNuxaO/NMAgxwhVpr3I/J/P4eurkL+DQFD4QcDH7nvIUZ2lJYGlJUDVVXAkUd0utBugfkrOePXNSIJuqY+RlJ0BrSd9iicGQu8l+S2HkbUW5dCV1cun5dwQrd3E5wjTvT5qTjHFcBy/H1wJU6Da0wOol48Hkpj79sP6/fLz6wwx3qWrtgnnQnz8vtlc2sL4UybJ69bvgqG0m/gioqXSxyJhinzsj97DYbYFt0F+/SLAKV9PoRyqLTLwKJu7xYYO8z4cSZOheXkh72XOtot0FevG1T7dMf9AZZRff9+Vvsw6+uOwH5LIiZPVuAY2XcfxpnTd//IL3r5fjatfgS6xhrP37a5v4Zt3nWeWAHImV9KW/0gHl9ANO+HaflfYTv+Xp9v5sheDMfE07sMCBg3/hfm5e0zvJOdGwAApaWAEAJKAONDR87UuT2W5umo40CSfdKZ8rZZiyDMsVCsDfJy9wxE3YFiGDe/AaE3y2QohTTO7Bqkjl/iQtF5TdV1TP6Z13UN2z/0vnGnkUpnhx+4rgTvL3Zh7m7Fes8cE0+HI+8UiFjf14yI7gbcRcfi5/IKyuFyGDe+AqE3ovHIOzw7Amb0t26Uj5TD5TCt/ieiXliCyHd+BWOn7HvnJI19ynmeY8fEM7xGlow7PgY6Lq/ryyDeI2f2IjgmnQVlbI7fZx8ph8txasRj+GzJ8bjYfkWX16QvrjG5sE+/BK7EyYC+7xFznzis0O3d3P4YSdNkogsAdPounX7v/w/dfvg6XOz+7LUehK5pL0RELKxH/9Y/7SYKAsbNb0JxWj1/W05+uGsyV2+EM3sR+mPAMarb76yu8QBtdTB/J5NAtkV3dztjrUz+pkV29uC/B5WmvTCuew5RL5+CqDcuhHHzm4DLe8mnM22eV6ILABSdDo5JZ3jfmZ9mtBoL34fSYdaAa1SG1+vnistA688/gWPyOV6dFxEzTtYl7EBXX9nvx+8rRnak1u2qrOq6sYnphyeha5BTvqxL7u37gXV6OHNP6lp7Lmq0nE3XUT9nTrhSZ8Mx5TwZQxTffqoKH+MInDZPJ802/3c911QlCnNKXTn05as8fzumng/7jEu6/J8T8dkQo71HK4wbXvHUehWGCFhOfaRrTS9jBJydvwsCRO3DWK2ATgfk56HPPox10Z0Bb1ef38+WRhgLP/D86chYANv8m71iBQCIkSkDGuBVDpfLOlVl3wDl38FY9Fm/bu9Knt7tzFd7pxIixsgI6HRAQyNw6DACGh8GpqffH6LL5ebl90NxOWCfcwVEbGr3N6OQwZldg6S0thd+hyHCa01v52UMuoPFchqteymKI/0oGEq+8lxuWvssbHN/DcXeCuPG19vvxxABZ+YxCDTXuALoD5VCv3stlKZ9EDEJnmmdwhABV3w2AMC8/AEoTjtss69AWVMmAIFRscCoUX5M6FgaYCj6HMbtH0DfIYEi2+I9BVbpUHwfAETEyA4XKhDmEVBaZSdSsTZAqavoErR7ElTvUafXZCoARKmPH/i6M31RLA1edbq83gcAwuz9d8f31ZUwCfqa9TCULoftyOsAgxmG4i/khaNSZeFIWyv07pEZ67zruy0mSRRMDKXLoa/+CXBYZYH5xKlw5CwBjF2TLB07HK5RaRBR8TCueQq6wxWA3gjXuImw55/a78/9QGOUa1wBUL4SugPF0B3YCdfYfBi2fyRvB8Xzo9u8+lEolgbYc0+CM63zVCFJXdaQldntxX2zt8Gw6ysYtn8g41PH7xm9udti+Z0JIWDY8ZHXeY70owbYIK87hnHzG+1/GiLgivVOtKGXwSoR5b3k0+eBrX7EyI7S0xQAAlWdljHq9m+HcYMs0G7PP31wHdS2OhjKV7a3xxTttWw2UNTPpGJtgL5sOZxZi2Dc/lGHyycDkHUldfWVcCZN4+YmNKwZyld5bU7kmHACDIUfyFUNDitEbDIc2UvkwGhHQsDQYZaxM3kGFFszjKv/CaWhGjBFw5k4BY78Uzx9noFybXwbZqsFcLkgosfAmTITzqxjuwysqH2YuWPWYmb2PkRFJvXZh+lSS9lf+vH9rK/+EYqjzfO3I+8U6IuXwrB7DWBthogeB2fmwh7ja78fv5vfHwNh7DSBw5VxFManyiXyZWXAmPgebujn+KA7tAvmZX8GLI2AeYSsLZdzfJdNyTomCo3bP4R9xiXQly33zGpUP+OGHZ9AX/2jnI09R/tabjR4THYNUscOvGJvlbs7uOuVdB6hVYQLuoYauMbIXZocU34Ge/U6TyFd04/Pw/Tj8163cUWPg/WkBz3LCgPJPudKGHZ9BcXahKiXToIwRXt2cbTNvQowRkK/60sYKr+DKyYBtnnXoPJbeVu/LGF0OaCvWA3D9g9hKP0GitPmuUjojXBmLIAj/zQ4Ou6sga5JFF19FVxqh9DaJHcO6XS509dkl9bvUS+viUtnxIqa+Vh24DTc9vyiHscshoowRUNA8fxw0tV796a6/N1hdy3bvGsR8d5V0DVUIfq5YwGdEYq1AQCgX3wbAFlDSLE1Q5hHwjHFe0YKUTDqmChXuaLiYT3xQe8aEC6HTDS5KdYmRL18ChSXvf06hYDpu8dgOfnhfs3uGmiMsk+/CIatb0PXegiRr50nC9S7ax46Cs6GiE2Fbt82GLa9C2GMgu2Y27p9/LY2gRr36ox+LWMUAvrqH+V3X/EXXjOnhKKDc/xcOPJPl/XPetjV0rjueehrtwG2Vjjqy2FqaF8mYp90lpxpNUj6yu89yzEAwJF/apf6nL3evtOyVGfq3J6vPMAY2VGaZ2ZXx/t1wvzVPVBcDojIOFgX3eFz+wEAthZELL0TEAJKWx10tdugOORrIIxRsJz00JAMTjjyToXrp5egO1yGiA+vlwXqW/bLy9LmwTl+rlwuvO45d83HP7LmIw1ruv3eO2+bv7gdupYDXueZ1j4L++Sfydme7oEFpXGP5zcaIBMOka+e7ZU4M259G67vH4fl9MfhSp4+4DaKjW/Ba/3B+pfhih0vl/l3SMLZ51wJ7PgKI4xNeDr/FOif6bsP41cD/H7Wd3oPTKsf6fIeYP1LcGQdC8sp/+gx3vX6+DojRNRo6OLS0Hr6k93fvg+Gre/AULEKcFigq6v0+v3gyFgA29xfI+trGVtKSoG5c9wXBjg+6GsLPQPhKtOKv8F25A2wd9h4wDn+CDhS58JQvQ7m5ffDuO45uVs8AGd8Nhx5p3jXcjvmtm4HJin0MNk1SM7UOdDXbvX8bfr2r7AtugtwOWFa+Y+uN7A1tx/rDLCe8n8QI1O7JFAAORJhn/trOFNmB6LpXbjGTEDbBa/C9P3j0NdsgGJrgjN+AoxHXwV7zumynscKWSzctvAPgCkajtI1+PP0DzE1bQ8iPh4FR9YiuVTEx2UHAKA7sFN+Oe/4xGsHKKHo4EyZDUf+qXDkngj0UPDXlTobUGcBATCtekQmn4yRMK/8R9ddzazNne+il8Zp8x758pq0pp+Am8+UHdlrWhXE+r8Gfv+YouFKKJCdS0DutLL+37BPOQ+6+ioYN/zb+/od3gdn+lGwnPsiTGuekuvmHRY4E6bANudKjJx+HpTqYpjWPQsB91JSRQd9ydcwFH0BpfUgRNQYOPJOGrraC0QDpGs9hIiPrkPb+f+FK2mqPNPS6PU91TlB7znf1oyIT25C28Vveepo9WWgMUpEj0XbhW/AtPoRGKp+gNLWANeoNNgLzoF9zhWAELIovXDBesTVECMSodu/A8Ytb0GpqwRMUXCmHYmdpvMghBFxccDo0X0nFpS6Shi3fwjDjg+9ajEC7oL/E0+TS/Sjx/Z5X/qa9TCUr+j6FKdfIpeJdLPksr+Mm17z+ts+7SIYf3q5h2t709Wsh3HLW56/XSOSui61xOBjZEdp7klndXVAY6NAXBxg3PCf9lmzx97R/46H0wbDri+7nC3MI2E58YGh+142RqDt/FdgWv0o9OUroLQdlq9p7kmeulymFQ9DsbfCPuV8uBIKoNRXwbjpNegO7pLLhFNmwT7t4l5n4xGFi84rI7okWdyM296BiBzl2Wm36+263/xJ13IAkR/8Bq2Xf9Rlps1g6Bp2I/LdK9F66bueci2uMRPwj7pXMN/2BI5IbO/D2GdcAsfUC7rtw+h3r4Nh+weyHmBErCZ9GPj4HhjKvoX5qz/Ceuoj/X/8rONgXvEQ9CbTgJfv6/bv6PZ73jHhBFiW3AuYopGdJbD8W4GycveOjIAm8UFx2mFe/QhgMMM+83L3mQosZz8tl3QWL4XScgAiajQcmcfCuuB3gMEM08rHoWvZD0f60XBOOB5KywEZH/bJfo0rcbKsSxrHlSWhhMmuQbLPvAzGbe94pkEaiz7vdstzj45bl7bVI/KjG6Cv+QmAeylc8nQodgt0ezdDcVhgXn4/DEWfoe2c53rO5vuRK6EAlrOf9TovIi4OqKuDad1z0DXu8Xx5Gje8igva/gqom4TsktuFO8q+heW0R30aMVUaaxD1qvcyAufYie4OzakQIxL6vA97wdkw/vSSp2NkqF4HwwuLe7y+6M/2sRq8R76+JiYA8fEuHDokd2TUPNkFwHbktYj84FrP3+YVf/P8uOiiU60wZ9o8tLmLB3dmWvkPKLZmuEamQESOhmnVP2Da+KrXdYxFn8I265ewHXPr4J4E0SC44rPhyFggd4MdNR7CEAF9bSFMK/4G/X5ZQFdx2mH6/jFYzn3R83dnzoQCWE75B0RkHExrnvJs/a04bTCufRbW0x71qT2DiVFi1HhYT3sU1m6uZtj2LvT7tsgE2MxfQL/rS0R8+nsoLkf7dUq/QXrEZzDqXkJWpm/fu9Evn+T1tysuA/b80+DIPxUiLsOn++iLadNrMFR+j7Zzn4cY6Xtdy86UhhroOyTTHOOPgCt+gk+31e3ZKHcIds/eE8YoWE5/vMuSH3/EyI6iohSMGyewf78cgU8bUQnT93Kk35GxAI6Jp/fr/nqjWBsR+dENsE+9wLcaYH4gouJhPeH+bi/TV62BsfgLCHMsrPNvku/Bu1d6zRo0lK+EsfB9tF74Ojs0FP46xR6hN8Jyyv/BmX4U9DUbEPHJTZ7/H8YNr8gagxGxXW4HyO8P6/F/AfQGmL65H0b3ILRiaZC3dW8c5VOzEqfCPvPncKbMwsi0AtQ3NEJfsx7mbx/0rApQrA0wrXsW1uPv89zu68JJeOvw03j6SQVTJnv3Qbrrw5i//avXdbTow3QX/y1L7oUj/zToDu5CxMc3ehJgxqLPYZt3LUR8Tv8e32FDoBh2fYmoPRtgOfs5ZGfJQbjS0r5vN5j44IoaDdusX8CZMR+uuEyIyNFyk521z3j9vjF9/wTsU85vn6HlnoXe3Ux05XAZjBtehdAZYV10F5S6SkS+dalXAhGV38Gw9V2IX38M6Eb1q82kHRaoHyQxIhFtZz0NV6e6G4C7rknnehyRozzH5uUPdEiiRKL10vdg+dnLaLvoDVhP+bvnevo9Gzy1NLSi1O+G8acXIRQ9rMf9EUpTrWeq57f7jsWqI7+H9eibAACGXUuh7yaL361ONXId6fNhXXIv7LN/5fuPeGMU2s5+Dq5R3W/N64ru+T3oiybvUT9ek2T3jtB7+tg0a6g4sxbBctwfIbopei+MURAdkoHCx9kDrsp1MO74CMIUA+fYfCht9Z5El33ahWi+dg3sUy8AAJjWvwzdvq293R1RQFkX/wn2uVfBlTwdIipe1i4ZPxeWs5+F6DCiqt/9I+BeZtBdnSbbkTfI5E5ELGwLfg9har9Of3ZOHUyM6pGlEaZVcnTZeuydgHAh4ut7obgccCZMRstvVsulCQDGWjbioszXkJPtc5M9nAmT5es575oBJbosZz+D5t/tQPO1a6G/6hOvori6unKYv3mgl1v3zbj5da/6Yd3tRNkdfdUPMsmi7oBmjILlzKe61sUB/BMjO0nvsJTR+dUDUBxtEMaogSekIuPk63zTNrRcvVJurtAh7hq3vOX7b4JAcTlgcu/KaD36RiAyDuav/gjF3grXyBS0XPE12n72MoSih66uwpMAJAprJu/Y48heDOeE42XcyvROfitOW3v9J1PXmGU95laIEQkQUfGwdSr83t/dvq2nPQr7zMvl7MuoOCBiJJzZi2A5w/v/Zcdl4AcPChw6LIvTT8jxvr/e+jCOrEVovuYHzfowXTa3SpgiZ6KZouFKng77jMu8Lvd6LQMQH3piW/xH+T1//U9ovfQ9z46GgJzZZ156J7IyZYMqKgGHw924AMQHx/SLYTvmNjjTj4YYmQwYI+AakwvrKf+AM6E9jiq25i41y3piXv4AFJcd9pmXQYzOhPnbv0LXehDCPAKtl72P1svehzCPgK71IJyf/bFf7SVtMdnlB66UmWj91RewLPkz7JN/BnveKbDNuRJtl/wPrvj2b1wREQsxItl9IwcMxUs9lznT5nkVSnTkn+qVGDBUfBf4J9IL87d/heK0wT7tIrjG5kJfscozIv1q6S8wfsIo2Gf90jNrylD6jU/3K8wxcKTO9eyiZKhcjag3LkDUSyfC9N3jUA6X+XY/8dlo/fnHsJz8MOxTL5DvwczL0Xbef+DMaO/gCCg+L//R6j3qz2viSXb1viP7kHJMvxitv/wC1vm/g33iGbBPPB3W+Tej9fIPAWf7rA/XuIl935nLCecn8keTbe7VgCECSkut52J1lLFjEUlD6XL/PRkiPxHRY+DqUCtQcdnbtxE3RXdJ/nol7/UmuEYktd/W0tivxx5QjOqF6fvHoWs7DEfWIjizjoF+70bP0kv79EsgouLhmHQmXCPlfR2TuBxZWb7VRnJkHgPhXl6or92GyHd+iajnFsH07UOepQT9FjESurTZsJzxpFdyT1+xqtsZCr411Arjtnc9f7pGJMGZfVyfN9OXLkfE+7/xzJYQ5li0nftCj8WH/RUjO1KTXVVVAmh2L5lx2hH133MR/dSRnn8d6fZsRPRTRyLyv73UOdPpIaLHwjHxdFiX3Od1ka+/CQLFuOFV6A+VylkP0y6EUl8F/SE5/cBecDZEbAqcafPgSpkJADCUMY5Q+Ou8mYbo9LdrlPfuimrsccWmdNn9VMS2xywRPRaiwyxVxdIAf3CNzfXaWEXpMOtmp7vsZXoaEBHh3bbe+jC2Wb8AIrXrw3Te7c81yrf3wF+P32+maLjGTYT1pIe8dqjXH9iJ5KgaREYCdjuwu7rT7YYiPig6OFO9y8p0/Iz0RF/8JQyV38MVPQ62edcCDiv0lT8AABw5S+Aamw/X2Hw4suWqIVG6IqCz5ci/uIzRX0zRcEw9H46p53vOUup3Q79no+dvR8YCz7RYpfWwd/HhPvRUw2UouIq/hqHsW7giR3vqXnT88mhRxiE+HoBigogYBaVlv09fLgCAiFhYzv8PlMYaGLZ/COP2D6Grr4KuvgqmtU/DtPZpOMdNlEUd807pvQi83gTHxNO9l2FYGmDusOuHK3k60GmXwJ5o9h714zWZkHASliIRe/d1WB8fBMTIZK/CkABg2PkpFGf7gihHxoLON+vCuOVNYN82OOOzYZ9+sSyi7Gi/DxEta0B0rAXh82ePyN9cjp7rQLmcUJprvc7qmCx3Jk2Doexbz9+KpcFr0LZjZ8HXWZFe+hmjeqI7UATj5jch9CZZ3wmA0qFei4hpr6UlohOAxj0YYz4I4WNxesvZz0BpOQjDzk/krmAHi6Br2Q/Thv/AtOE/cMVlwJF3KuwTT4WI6+dOWnqjnLnm/o5QXA75Okd3nfXWF8POT7zeE/u0i2TxZpezl9t8CvMXt3uWerqix8Jyzgtwje26rbuHP2OkW5p7R8bKKgDur07FZQcs9T3eRnE5AEs9FJNvO6t1rqnmtSvoEFNaDsC05l8AAOtxdwOKzvsz26GtrpgE6OH9mSYKV513wVNnm3r+7pSkElHu2GOKhis+B/pDuzrctgHC4P6/5LQB9rYOtxvte6N6i6PWJvlP1WGGWVGRjJj5ed430Zet6LUP4/n9aNCmD+NMmu71d+fBLKXT97JX/Pf18XNPlu+HqR9lXHzQeTdhveUwsjJTULhd7siYmdHD7QYTH1xOWVOth98qnWt9ir7Ky9gtMK/0ruWmNNW2lxiIbu9fiBj3bDmnHYql3q916ChwmOzyA335SjhTZnnVa1LqKhDx2S2ezr2A4jUVVUSOgtCbPLtl6HevhVJX4VmqYdj5KRRbi+f6rk51RSLfvtwzldU1MhmtVy4LyHODwwbnp3K6pm3+ze2JIvMIz1Xy0uqhKIrszKnLMsy+JZRUYmQK7POuhX3etdDVbIBx+wdyBy5rE/T7d0C/fwdMK/8BV8os2Ced2WU3Pn3VD3COzfcqrKs074d56V1e661tM3/udTuloQbRL7YXR7TNuw62o66XbRrkezRYvrwmV+AfmH7ULGyrPwPAeX59/J7EPNI+I8s+6SxYT3qw/UJbC/R7NsGZNs+zaw8A6Cu/g/mb9joqrqj4vmvDtNXB9N0T8m4X3eX58SN07UskFUs9RPRYr0Sj6PDZJBpKhh2fwFC6DLZZv4ArZVb7BU47TKv+D7rWQ+1njcnzihmOiad7JbuM2z+A1b2Dlb5itWdXOUDuKtSRGg/sAKK6iQcDiVE9kUXpnbDNvgrCPQLd8f+cZ7YaAFdLHfQAmhwjevzR2x0RPQb2Wb+AfdYvZPHdwg9g2PkpdK0H5RKzNf+Cac2/4EwogCP/NNhnXOr5ftDVbIB+3xY4Jp4ul5F2YCj8ALpD7cVERKcZdb3Fg86Mm15vvx9DBOxTev/+NWx9B+av/+RZ9uiKHY+2c1/0vIZ9viaDjJEddVzGiEHsrWL86WW4RmfCmX60dw1GWwtMa5/2bn+sd3w0ff+kJwEFAC1XfN3lOv5iWvl3KLYW2Cee7pm51fE3TMcOvRpLGEdoOHBmHQNhjm3f/br0G2D+zbIul60Fhg6bPwm92Ssx45h4OvSr24ulGwo/8AxyGgrf99qZ0Tnee5fZqBcWe5ISztQ5aDv/Fc9lxnXPQ9dQDfuMS71XANhavL5DAcCZPMNzXFQkT/PyOiRBHDZPXa6e+jBKWz1EHDTrw7gSCuAanQWdexaWvvpHKA018vvQaYdxx8dej9X5tfT18QUAER0Pw7j34Jh2oU/PS6mrhHHHx7BPPrtLfUt9xWroq9a0twEKxMhkZGcDhduB2B0vQ5+R5ff4oDTtQ8THN8A+5yo4chZ71Rk1FH0GfcnX7fer6LskdDszrXvWXcttFhwTT5O3M8d4dpfvmGz09DUUpe8kGgUNJrv8wPzNA1Caa+GKz5Yd75b90B0s8ZoVZJ/18/adtwA5CylnCYxFnwGQW8JHvXqOLH7usEC3Z5PXYzgmntqvNhnXPAVDmbtwbqdlGobyFdC9foHn77aL30JPjD+9CBwuhzNxKhyTz/Wc70yd4zk+Lfl9ADPkF6t7O1lX6sB/QbtSZsKaMhPWRXfBUPI1DNs/hL7yeyjCCX3NT9AdLOryQ9647jlEVP8E1+hsiBEJUNrqoTu4C4qjfWTJkXM8nLkn+t6QQb5Hhq3/g3HrO3AYDIh0OLwu0+3fjsgO74HljCd6HSHo7TWZPeYn5DuK0J9kl662EOZl7dOIdYe9q0l2bJtt3jVwZh3r0/0q1iZEvnclRESsLBoZMRK6+t3Q1ZV7riOgwLrkz4Axstf7Mq/6PyjWBigFp8GZdqRnyrCIGg3UyR8FhsL3YZ/7axi2f+i5XcfPJtHQEvL/Z8nXcEWNcc/YUaA7WNxlhyX7Eb/2+tuRexKc6/8D/b4tAGQdC93eLRARsdDvWd/+CDqj3A2xHwYUo7ph2P4R9DXr4RqRJJcVuzmTpnkGBgzbP4Qj72To9m6GsbECAFBsnYMM88BmnrrG5sN27O2wLbwF+opVMBZ+CH3Zclk/xr3luL3gHE8nRmk7DPOKv8G08u9wjc6SP9CFC/b6CkTU7/a6b3vBOV5JeV/p9mz0bDYAyCXt6KXWma62UM5K7dD5EzHjYF7VdTdMV3yOZ/ZBTwYSIztSk1179wCuy95DS0t9t9frOLDRuUMKyN0uzSsfhjBFwzUmDyIyDoqlAbr9272KvgtFB3vBuegPfdm3MK1p7xApHf7/KC0HvGKUdfE9cHVYTtORrmY9jDs+hjBFy1F7N9foLLiixkDXehCGos9gn3k5lJYD0FfLGp0uxhEaDgxm2I66AWZ3PTtdywFE/ftUuMZNgu5Akdcgi33GpV4DJvYZl8C45U1P0sq8+hG5HE2nh65mg+d6wjzC53qGAKC4nDAWvgdj4XtyN9XEfERY26Dfv8N7hrOik6Us3IrcyxjzOkyUNf70InT1Vb32YYyF78OaPF3TPox14S2ezZ0UpxVR/z0bzsRp0NVXegryA4A996Q+61f29vhoOQTzqkd8T3bZWz2DS65RaXJJpaJA11DtSc6pnNmLIKLHIjtTABCIa1yPyA/+Hpj4sH8H9J/+DsIYBde4ibKWVl2lV18DgHyde5kJr9RXwfjTS55abh4ddpfXly4Hjv4tAAV69/J2JXnqkGwaR/7BZJefKE6r14/fjmzTL/X6keU5/9g7oDtY5KkboTjaYKj6ocv17JPOgmPimV3O742ufren09SlrW110Puw5E5p3APTuucBReee+t/eWXGNycU625mYa/oQc3T/g+uZbzzTUJ3x2bITMVgGs9wyN/9UKM37YdjxMQzbP4Cu01IgT3tdDugPFgEHi7pc5phwIiwn97ArYC8G8x7pmmqh37cFAkDn7pRia/F+f3ytG9PpNbH8+BHqVnyIhMhauJwCer1vHcouj99Jx8sGsjxTsTRAv3dTl/OFIQLWJX+GM6fn3TIBQLdvKwzb3oMwRMJw8p+B9oE8iOhxcKTOgaH6R5hXPwrjhlc9s/cc44+AM/OYfreXyD/a///pWg9CV9l1KYRQdLAddSMcead0uqkOltMfQ+Q7v4SurgIAoD+ww/u2ehOsJ/4VrrGd1mn40rIBxCjvK7XA5E7OWI+5vX13IwCIjIN9zlUwrfkXDBWrEP300YCtGQBwwDIGGyN/jhP63eJOdAY4sxbBmbUIsDTAUPQZjIUf9BznhAv6QyXAoZJuL3dkHydH+gfAuPE1r7/tMy7t9fqKrcUr0QXIRFF3nP35vu1njFTFxwNRUUBrK1C124n4fqww6o5ia4F+z4ZuLxN6k0xGdVd8v7f7bKvr+b112r1jVIcZ1l5cTs+MYtu867yXzuj0sM2/GRFf3gX9gZ2IfnYh4LBAcdogjFGwHXkdeh+OIQoP9ukXQzlcBtNmOVtV13oIuopVXtdxTDgBtvk3ed/QGAXLmU8j4t0rPL/BOv/uE+aRsJz+eJdla70RHfoauqa9EE17u3RWhd4M65J74XLP7OquOL3ahxE99GHsk86CcfsHMG59G/rSZZr2YZxZi2Cd/zuYVj8qZxNZm2CoXO19nZRZcrfLgTx+Qw0iProe+saaLkXtfaUuj+yOM2k6LO5dcLPdm9G0tAAwByA+dOjmKPbWHmOpI3ux3ECnF+blspabbfolXX5X2ebfjIj3fg1dy35Ev7DE83hC0UN//N2+t5c0x2SXH9jmXglD6TfQHSyWSzhcToiYsXCmzIZ96gWyTlQ3RPQYtF3yLoxb/wd9yTJ5e2sjoOggouLhSpwCe8FZ8se9Bswr/gbF0QZl1iVwJU7pcvnfdt6HRcZ0/GrG+4i07IOIGg1H1rGwzv9dn7N2+kvEjIN9zhWwz7kCugPFXS63T7sIMMdCt79QJmecNoioMXAmTYOj4Bw4M/uuD9Xt4wbxeyRixsGw8Apc+MCvkBFZjId+DiT2Xa4lsG2KiIVt3rVyyWd9lRyF0xvhGpEMZ8Z8uctJh0Lb3d+JgHnZX6BAwHrEr2GKTQHqOnQAFQWW0x+Had1zMBR9DqX1IFwxiXDknQTbUTf6tF00USA48k9FW+QoOXt231bo6qtl0sdghhiRCGfqHNinXdjjJhliRCJaL30Pxo2vwlD8BXR1lYDLARGTAGfaPNhm/QJitI/FrzoYaIzqyPTDv6BrOQBH2pFw5nZNXdmOuh6u6DEwbnpNttsYjc2tR+KO1Tfj5Av8XNciIhaOaRfBMe0iKIfLveKNK2k6rAtvlSPoh0plPLC1QDFFwhmTAFfCFDjyT4Mz4+gBPbTSchCGkvado5wps3zf9CSA+oqRHSmKgvQ0gR07gfLygSe7bHOugCsuHfo9m6A07ZWvtcsJYR4BEZcB5/i5sE85T+6WpQHj5jehP7ATrtHZ3SYkHZPPQZspGqYfX4DuYDGgN8Ix/gjY5t8M15gJGrSYSAOKAtviP8KZuVDO1Nq7Rf7ONY+Ac1wB7FPOhTP3pG5v6hqbi9affwzTTy9BX/YNdA17AAiIkclwZCyAfdYvfKoj2JF99hUQo7Pk8v3aQuib9kDYWuWOe7Hj4Rx/BOzTL4bosImLWpw+I729OL3ah7FP/lm3fRjrCX+BKy4dxm3vQ2naq2kfBgDsc6+CM3U2jBtegb5mvYzVxkiZmJt4OhyTz+m5lllfjx89Fq7R2TAkTkTrFN9n2blGpcF63N3QVf8E/cFimRC0NsnfNDHjZD2wCSfKHTwVueddlvsnyrOFv8LU6zIQedC/8UGMTEHrxW/DULJMvk71FVDaGuTSwqh4uBKnwj7pTDize++X6cuWw1C+wl3L7cYulzvTj4Ll3Bdh+uFJ6GoL5Xkps2E78nqMzF7g3S+hoKYIIXzK8daF8JsaFxcX0u3XWnevn8MhsOQkAYcDeOdNBYmJTDD0JNCfvwsvdaG6Gnj8UQUzZ4Tf++B5/Rw2mJfKURrriX8FDP4ttBmOAvXZi4vru0B6oD7z/D7vWbC9Nr+4woWSUuDB+xUsmK/td9OQvTYh8j31l7+6sPRL4Lc3ROK8c61932AYCrb/T8FiIK+LLzGjL6H0XvCz4z++vJYvvuzCy/8BTj4RuOsO3RC1LIS445LJZELTonsDHpfOOc+F/QeAp55QMHVKGPdLaNAG81r6Glf4jUADUlMDOBxAZAQwjptRaCrZPVFqz15t20FEpLLbBSoq5bG6rIGCR3qa7ICUlfW8eyQRUSjotjg9aUad3VVa1vv1iIYCk100IGonJi0N0OkYXLSkJrtqaga4EJ+IyM+qdssBkehoIEnj5dXUlVqkvqyCyS4iCm3F7tKMHYvTk3bak13sl5D2mOyiAVGTXRkZmjaDAKSmymRjzR6NG0JE5Fbi7nxkZ8kaURRc0tPlaXm5Ez5WsyAiCjr19QIH3XvBZPe/pCUFQE6WjPmlpX1ckWgIMNlFA1JRKX8cZ6SzE6O11BR5Wl2tbTuIiFQlpTJG5HAJY1BKSQb0Orkj48Gum4YSEYWEsnJ5mpwMREWxTxIM1JldZeXgYAppjskuGpCKCnmamaFlKwgAUlPlaXUNgwoRBYcS94huTg47H8HIaFSQ7B4oqex+N3kioqCnxhrO6goe6WmAXg+0tAC1+7VuDQ13THZRvzmdwvPjWF0KQdpJSgQURY7Qc3MQIgoGpeyABD21bheTXUQUqtS6UJxFHDyMRgXjx8vj8gpNm0LEZBf1375awGYDTEYWHg4GZrOCBPeOmNU12raFiOjwYYHDdTIJn5WpdWuoJ2nuZFdVFWcEE1Foah9Y4SziYKKu/Ckv17QZREx2Uf+pSxjHpwEGA4NLMEhxL0epYbKLiDSmLitJTQUiIxkjglV6mnxvOLOLiEKR0yk8NbuyObMrqGRmyPhSUcHBFNIWk13Ub56dGLmEMWioRep3VzOoEJG2PPW62PkIaumemV3atoOIaCBqauRKk4gIIDlJ69ZQR56ZXRVatoKIyS4aADVLz50Yg0dqqnwvOLOLiLRW6t6JkctKgluau6bK/gNAaysHSogotJSUydPMTECvZ7wJJmoJg/IKwOVifCHtMNlF/VbhHgXmzK7g4ZnZxWQXEWmsfSdGbdtBvRs5UkH8aNlB5OwuIgo16sBKDjdCCTopKYDRCFgsstYzkVaY7KJ+EUJ4anZlZGjZEuooNVWe1tTI94iISAs2m/AsdecyxuCXmakHwLpdRBR6St0zu7KzOasr2BgMimf2MIvUk5aY7KJ+2X8AaGsD9Pr22USkveQkufNZSwtQ36B1a4houKqsBJxOICYGnl1iKXhleZJdHCQhotDSvhOjtu2g7qmTIli3i7TEZBf1i2cnxlTAaORISrAwmxWMc3csq6u1bQsRDV8di9MrCmNEsFNndnEZIxGFkuZmgb375DGTXcFJ3ZGxnDsykoaY7KJ+qXQvT0lnva6go860q2bdLiLSSEmZu4YKlzCGBC5jJKJQVOZeGjdurKw/SMGnY5F6Iq0w2UX9Ul6p7sSocUOoC0+yq5ojKESkjZISeZrDGiohIStDJruqawCHg7GDiEKDOos4mwMrQSvTneyqqACcTsYX0gaTXdQv7cXp2ZEJNikp8j3hzC4i0oIQwlNDhTO7QkNSkg4mE2C3A/v2ad0aIiLflLlnEXMJY/BKTgJMJsBmA/bu1bo1NFwx2UU+E6J9ly3O7Ao+4zvsyEhENNQOHZIbZOh07SO6FNx0uvYds7iUkYhChdofyeTge9DS6xWkp8ljLmUkrTDZRT47fBhoapK7/qk/jil4pHiWMcrEJBHRUFKXlaSNl5tmUGhQOyNMdhFRqGhfaaJlK6gvmRnylMku0gqTXeQz9YdwchI7MsEoJVkmIptbgIYGrVtDRMNNCbeBD0lp7mRXVRUHSYgo+NXVC9S7f+dy8D24ZWZyR0bSFpNd5DM1K89RlOBkNisYO1Yes24XEQ21klL3Tow5HAwJJelp8v3izC4iCgXqzvBJiUBkJONNMFNLGpSXa9sOGr6Y7CKfVXAnxqDn2ZGRyS4iGmLtOzFq2w7qH3UZY0Ull8ATUfBT63Wlsz8S9NRljJVV3PGXtMFkF/nMsz4+naMowSrVU6SeAYWIhk5bm0DVbnmcO0HbtlD/jB8vl8A3NcGzNIiIKFhx8D10JCUCERFyx989e7RuDQ1HTHaRz9Rpw1zGGLxSU2Qicne1xg0homGltAxwuYD40UB8PAdEQklEhILEBHlcxaWMRBTkPP0RDr4HPZ2OOzKStpjsIp80NAgcrpPH6pcWBR91GWMNlzES0RAq3iVPc3O1bQcNTBp3ZCSiEMHB99DiqdtVoWkzaJhisot8oq6PT0gAoqI4khKs1GTX7t2svUJEQ6e4WH7fTMjRuCE0IOogVmUl4wYRBa+WFoH9B+QxB99DQ5a6I2M54wsNPSa7yCeeYpAMLEEtJUXWXmluAerrtW4NEQ0Xxe7i9LkTOBgSitLdy4HUWE9EFIzU2afx8cCIEYw3oUAtUs+ZXaQFJrvIJ5UsBhkSzGYFiYnyWC0WTUQUSHa7QFmZPOYyxtCkxnYmu4gomLVvlqVpM6gf1GRX1W7uyEhDj8ku8on6Azgzg6MowW68e0dGFhomoqFQUQE4HEBMjNx5iUKP2nGsrQVaW9kZIaLgVFElv5+40iR0JCQAkZHydwI30KKhxmQX+cQzkpKhZSvIF2qh4ard7LAQUeC1L2EEFIUDIqEoNlZBXJw85kAJEQWr9v4IY02oUBTF039U3z+iocJkF/WpudnVXgyS04aDXtp4+QOAyxiJaCh4itNP0LghNCjq7K5yLmUkoiDl2YmR/ZGQwrpdpBUmu6hPZWVOAED8aGAki0EGvbTx8pTJLiIaCsW75Gkei9OHNHUwizsyElEwsloF9uyVx0x2hZYMzyYojC80tJjsoj6VlstkF5cwhgY12bVnDwtBElFgOZ0CJe5ljJzZFdoyuSMjEQWxqt2AEMCIEfAsu6bQkJkpT8vLtW0HDT9MdlGfSt0zuziKEhrGjgUiIwCnUya8iIgCpaYGaLMAZnN7op1CUzp3ZCSiINZxCSPrQ4aWTHd82V3NgXgaWkx2UZ/KStWZXQwsoUBRFIznUkYiGgJF7iWMOdmAXs8YEcrU2dt79sjlQkREwUTdyS+NOzGGnHHj5EC8wwFU12jdGhpOmOyiPnFmV+hhsouIhsKuXSxOHy7iRwMxMYDLxe3hiSj47HbvMj4+lQMroUan446MpA0mu6hXFotAzR4XACa7QomnSH0VR+eJKHBYnD58KIriifOVXMpIREFGTcKP55L5kJTBpfKkASa7qFdqMcjYkcCoUVq3hnw1frzseHJmFxEFihDCk+zizK7w0N4Z4UAJEQUPIQR2u3/Tjk/Vti00MJmZsm9SXs74QkOHyS7qlTrVNCODxSBDSRqXMRJRgNXuBxobAb0eyMrUujXkD+nckZGIglB9PdDcAigKkJKsdWtoIDizi7TAZBf1qtw9ussljKFFTXbV1wMNDRxBISL/Ky6Wp5kZgMnEwZBwwJoqRBSM1CWMCeMAs5nxJhRlZsjTqt3ckZGGDpNd1Kv2mV0MLKEkKkpBYoI85ggKEQXCrhL5YzWXSxjDBreHJ6JgxHpdoS8hAYiIAOx2uesv0VBgsot6pRap5cyu0KOO0JdXaNkKIgpXar2u3FwOhoSLceNkZ8ThYGeEiIJH+06MGjeEBkyna98EhX0TGipMdlGPbDaBmhp5zGRX6FGnC1dUcHSeiPxPXcY4IUfbdpD/6HQK0tPkcTlnBRNRkGif2cXBlVDGgXgaakx2UY+qqwGnC4iJUTBmjNatof5Sl54yoBCRv9XVCRw4KIsFM9kVXtTBrUomu4goSKg7MaZyZldIy/T0TTgQT0ODyS7qkTqqm52l506MIciz60mFps0gojCkLmFMTZU1Ail8qAMlnBVMRMHA5RKodq80SWOyK6RxR0Yaakx2UY/UH7rZWXqNW0IDoS5jPHQYaGxkp4WI/MdTr4uzusIOOyNEFEz2HwBsNsBgkEXOKXSpyxirqrgJCg0NJruoR5VV8pTJrtAUFaVg3Dh5zKWMRORPxbvcOzGyOH3YSVeXMVbJGRVERFpSlzCmJAMGA2NOKEtKBMxm946Me7VuDQ0HTHZRj9Tlb1lMdoUsT5F6jtATkR/tUmd2TdC2HeR/yUmA0QhYrcC+Wq1bQ0TDXXtxem3bQYOn0ymeARWWWaGhwGQXdcvhEKhyj6RwZlfoat/1hKPzROQfLS3t9VNYnD78GAwK0tydShapJyKt7d4tf8OmpmjcEPILdSCeq05oKDDZRd3aswdwOICICCApiR+TUJXpKTSsbTuIKHzsKpGn48YBo0ZxSUk4Ukfe2RkhIq21z+xivAkHGenuvkklB+Ip8JjFoG6py97S0+SUUwpNGeywEJGfFXMJY9hjZ4SIgkW1muziToxhITNTnpaXa9sOGh6Y7KJuqckudRkchSY12XXoENDYxE4LEQ2epzj9BA6EhCtPkXouYyQiDdnsAnvdhczTWLMrLGS640tVFeB0sm9CgcVkF3Wrwl3jSR3dpdAUE6Ng3Fh5zKWMROQPLE4f/tTOSEUlIAQ7I0SkjZoaF5wuIDICiI/XujXkD4nuHRlt3JGRhgCTXdStMvfUUnWqKYUudXYed2QkosGyWoUncc5kV/hKTQX0OqClRc4MJiLSQkWFE4D8TlIUDsCHA71eQXqaPOZAPAUak13UhcMhUFklj7OY7Ap56q4nFdyRkYgGqawccLqAUbHA2LFat4YCxWRSkOze+Yw1H4lIK5WVMtk1nksYwwp3ZKShwmQXdVFdA9jtQGQkkJigdWtosNSlqGUsBElEg+QpTp/LUfZwl9FhKSMRkRYq1GQXi9OHlQzPbvEciKfAYrKLuigtk6eZGdyJMRxkZclT9X0lIhqo4mL5w3RCjsYNoYDL8BSpZ2eEiLRRWaXO7GJ/JJxwt3gaKkx2URfl5fKHbXaWxg0hv8jKBBQFqKsDDh1ip4WIBq64RJ5yJ8bwp84K5swuItJKZaULAGd2hRt1GWMld2SkAGOyi7rwzOzKZGcmHERGKkh1/0jg7C4iGiiHQ6C0VB7n5mrbFgo8bm5CRFpqbRWo3c9kVzhKSgJMJsBmA/bt07o1FM6Y7KIuyv+/vfuOj6pK/zj+uUlIIAmB0FsoCST0qoCI0mxgWfWHHcuirl1X19V1dW2ra9sVFXUB26pYAbuIIEhTeguhk9BCCyVAIKTf3x8nMyEQIGUmd8r3/XrxmsskJGcOd+a59znnPKe4tpOK0weOtgnmcWOqs+0QEf+1dau5MI2MhObNnG6NeFvL4oLQBw5A5gGNvItI9dq+3TzWiYGYGA3AB5Jjd2TUUkbxJiW7pJSjR2227zDHWsYYONommIuEjRt1wyIileNawtiureo5BoNatSyaNjHHWzS7S0Sq2dZ086idGAOTa/awkl3iTUp2SSlbtoBtQ926EBurm5lAkaCZXSJSRe7i9O0cbohUm1bakVFEHJLuSnZpCWNAaqMdGaUaKNklpaQWL2HUrK7A4lrGuGUr5OUpqIhIxa3fYB4T22ogJFi0die7FDdEpHptSzefO9qJMTC5d2TUYIp4kZJdUkpa8U6MbVSvK6A0bgTR0VBYqBF6Eak427bZ4NqJUcXpg0br4pF3LWMUkeq2bZt5bKGZXQHJda+5ZQsUFWlARbxDyS4pxVWcPkE7MQYUy7JKitRvdLYtIuJ/duyAI0egRo2S0VgJfO6ZXZsdbYaIBKFtWsYY0Jo2gfAakJsLO7Ujo3iJkl1SSmqaedTMrsDTtq153Jiq0RMRqRjXrK74NhAWpsGQYOHaLWvPXjh8WLFDRKrHwYM2hw6Z4xbNnW2LeEdYmEWcdmQUL1OyS9wOHrTZt88cxyvZFXDcOzKqSL2IVND6DcXF6ds63BCpVrVrW9Svb463bHW2LSISPFyzupo0DqFWLQ2wBKo2rc2ja2WRiKcp2SVuacUfNE2bQGSkAkugcS1jTE019XdERMrLNbOrXTvFhmDTWjsyikg1cyW7WrXSrWogiy8um+OqGS3iafoEETdXsktLGANTm9YQGgIHD8HevU63RkT8iXsnxnbOtkOqn2vkfYt2ZBSRarJtm/m8adUy1OGWiDfFx5vHNM3sEi9Rskvc0tJMYEmId7gh4hURESVr47WUUUTKa/9+s8TdshQfglGrVmbkXUXqRaS6lMzsUrIrkCUcsyNjQYEGVMTzlOwSt5KZXVqmEqhcSxk3aEdGESkn1+dFixZa4h6MXMsYN2kZo4hUk23bzGNrJbsCWuPGUKsWFBSUJDhFPEnJLgFMDSdXcUCN3AeuxOJ6O+vXa/RERMrHvYRRxemDUuvW5nHXLsjJUewQEe+ybZv07eZYM7sCW0iI5d4ULS3N2bZIYFKySwDI2AOHj0BoKLSMc7o14i3tk8zj2nXOtkNE/MfGjcU7Mao4fVCKrWtRJwZsG7Zuc7o1IhLo9u6FnBxTZ7ZFc92qBjpX3a7UNA2miOfpE0SAkmx6yzioUUM3NIEqKdE87toNmQcUVETk9Na7dmLUzK6g5ZrdpR0ZRcTbXMvZmjbTPUkwcO3IuElF6sULlOwSoKReV7x2YgxoUVGWe+beOs3uEpHTyM62SS++8dBOjMGrVXHdrs2bNUgiIt7lmkEa18LZdkj1cJXPSVWyS7xAyS4BIG2TuYCNj9cISqDTUkYRKa+NqWb5WoMGEBur+BCsWrt2ZNTMLhHxsm3p5p5Eya7g0KZ4osWOHWaATcSTlOwSoGQZo2Z2Bb72SeamZd06BRQRObUNWsIoQJvW5nGLkl0i4mWunRjj4jTAEgxi61rUizXHGlART1OySygosN0fLgkJzrZFvC9JM7tEpJw2bCguTq9kV1Br1dI8pqdDfr4GSkTEe1w1uzSzK3i4itRrR0bxNCW7hC1bIT8foqKgaROnWyPe1q4thITAnr2wd59uWkTk5FzF6RO1E2NQa9gQIiOhsAjStzvdGhEJVAUFNjt2mOM47Q4fNFwri1xldUQ8RckucS9TSYgHy9INTaCLjLTco/QqUi8iJ1NQYLt3R9LMruBmWdYxReodbYqIBLBdu6CwECIioGEDp1sj1cVVMzpVM7vEw5TsEjZuNFn0tlrCGDRKitRrBEVEyrZ5yzGzfps63RpxWhtXsks1VUTES1xLGFu0gJAQDcAHC9eOjGnakVE8TMkuYWOqeWzbVkElWLRvb/6vV69xuCEi4rM2bDCPZumz4kOwa93atSOjBklExDvcxembO9sOqV6tW4FlQWYmZGYqxojnKNkV5GzbLkl2aWZX0OjcyTyuWgVFRQoqInKi9cXF6dtqCaNQUqReM7tExFu2ppu4o3pdwaVWLYtmxTPINbtLPEnJriC3bz8cOGAKlruKA0rgS4iHmjXh8BGzQYGIyPFc9RwTNetXgNatzeO2rVBYqEESEfE898yuFoo7waakSL2z7ZDAomRXkNtYfDMT1wJq1lRgCRZhYRYd2pvjVaucbYuI+B7btt3xoV07Z9sivqFJYwgPh7x82LHT6daISCBy7faqmV3BJ95VtytNgyniOUp2BTktYQxerqWMK1cpqIhIaTt3mZmfYWGmloZIaKjlPhe0I6OIeFpurs3u3eY4roWzbZHqpx0ZxRuU7ApyG1NdNVk0qyvYdOpk/s81s0tEjuea1dW6FdSoofggRpvW5lHLTETE01yzumrXhjp1nG2LVD/XMsZNm1VPWDxHya4gp5ldwatzR/O4eQscylJQEZESrpFVFaeXY7VpYxKfmzYrZoiIZ5XU6wLL0iBLsIlrATVqwNGjsGu3062RQKFkVxDLzbXZVlycXMmu4FO3rkWL4mniq1Y72xYR8S2prlm/CbrhkBLukXfN7BIRD9uWbh61hDE4hYVZ7l1/07SUUTxEya4gtmkzFBZBnRho0MDp1ogTXHW7Vqlul4gcwzXrNyHe2XaIb3EtY9y6DQoKFDdExHO2bTOfKXFxGmQJVtqRUTxNya4g5l7C2FbThYNV5+K6XSmq2yUixbKzbbbvMMea9SvHatwYatWC/PyS+joiIp6gmV1SUqRegyniGUp2BTF3cXrdzAQt98yu1VBYqMAiImbWr21DvViIjdVAiJQICbFo3doca+RdRDzJneyKc7Yd4hwtlRdPU7IriLl221JNluDVpjVERppikJs2O90aEfEFruL0CRoIkTKU3IxogEREPONQls2BA+a4RXNHmyIOii8unbBlK+TnK8ZI1SnZFaRs29ZOjEJoqEXHDuY4eaWzbRER3+AqTq96XVKWNq2Ld2TUyLuIeEh68ayuBg0gMlKD8MGqcSOIioLCQlMbUqSqlOwKUrsz4PBhCA2FVq2cbo04qVtXc1GxYoVGUESkZGZX27a64ZATuWd2bXa0GSISQLYVJzY0qyu4WZalIvXiUUp2BSnXEsbWrSA8XDc0wax7N/O4PNnM+BOR4HXsrF/N7JKyuG5E0tMhL08xQ0SqbvNW81nSqqXDDRHHuZNdKlIvHqBkV5Bat958gCS2c7gh4riOHaBGDdi3D7Zrdy2RoFZq1q9uOqQM9etDdDQUFmmZiYh4xtat5rFVKw3AB7v4Nq4dGR1uiAQEJbuC1IbimV2JiQoqwS4iwqJDe3O8fIWzbRERZ6UWz+pq1VKzfqVsWmYiIp62ZYt51CCLuIrUpynZJR6gZFeQWr/ePGpml8CxSxk1ZVgkmGknRimPNq3No3ZkFJGqKiiwSS9eWaA6wuIqobBrNxw5ohgjVaNkVxDKzLTJ2AOWBe3aOt0a8QXdu5kZHMuXO9sOEXFWyU6MmtUlJ+daZqIi9SJSVTt2QEEB1KwJjRo63RpxWkyM5T4PtJRRqkrJriC0foN5bNFC2/uK0bkThIaYUZRduzSKIhKs3DsxamaXnEIbLWMUEQ/ZUlyvq2VLCAnRfYmUzC53bZgjUllKdgUhV7JLSxjFJTLSIjHJHK9IdrYtIuKM3FzbXXBcyS45FVeya+dOOHpUAyQiUnmbVa9LjtPWnexSfJGqUbIrCK3fYD44klScXo7Rvat5XL5CgUUkGG3aDEVFUCfG7LgncjKxdS1iY8G2SwpLi4hUxtat5rqzVUvdl4jRNqF4R0bN7JIqUrIrCLmK06telxyrm6tul2Z2iQSlY4vTW5ZuOuTU3EXqNzvZChHxd5uLlzFqZpe4uJYxpqVBUZEG4aXylOwKMocP22zfYY61jFGO1bWL2bRg2zbYt0+BRSTYlBSnd7gh4hfi3XW7FC9EpHJs22arkl1ynBbNITwcjuaYDQxEKkvJriCzYaN5bNIY6tTRyL2UiKltuW9yNbtLJPiUzOxSbJDTa1O8I6N2yxKRytq3D44cgZAQs3GWCEBYmOWePawi9VIVSnYFGXdx+kRn2yG+qXs387hCdbtEgopt22wsHgxRcXopD9fgiJJdIlJZrp0YmzWF8HANtEiJtsXldlLTdE8iladkV5BZv958YCS2U0CRE3V31e1a4XBDRKRa7dsPBw+Z0XXXaKrIqcS3MUvf9+2DzAO6GRGRinPvxNjK2XaI70mIN/ckroE4kcpQsivIrHPN7FK9LilDt+IdGdM2wcGDunkRCRaui8m4FhARocEQOb3ISIvmzcyxdswSkcoo2YnR4YaIz3HNMt+o2cNSBUp2BZGcnJIikFrGKGWJjbXcFxzJK51ti4hUn2N3YhQpL9f5oqWMIlIZJTO7NMgipbmSXTt3wpEjGoCXylGyK4hsTIWiIqhfDxrUV1CRsrnqdi1X3S6RoFGyE6Nig5Sf63xxnT8iIhWhnRjlZGJiLBo1NMcaUJHKUrIriLiK07fTEkY5hW6q2yUSdDSzSyojQctMRKSSjhyx2bPXHLdUskvK4I4xWiovlaRkVxApKU7vcEPEp3Uvrtu1YSMcPqzRepFAl59vu5eSaCdGqQjX+bJ5ExQUKF6ISPlt2mwe69eDmNqaVSwnctft0uxhqSQlu4LIuvXmMSlRAUVOrlEji2bNzJLXlaucbo2IeNuWrVBYCNFR0LiR060Rf9K0CdSqBXn5sC3d6daIiD/ZtMk8xsc72w7xXW0TXEvlHW6I+C0lu4JEbq5NWvEyg/btnW2L+D7X7K4VqtslEvBcF5EJCWBZGgyR8gsJsUgovlHVzYiIVETaJnONGd/G4YaIz3ItY0xLg6Ii3ZNIxSnZFSQ2bITCIqgXi7vYn8jJdFfdLpGgsdFdnN7hhohfcp03WmYiIhWRVjyzq00bDbJI2Vo0h/BwOJoDO3Y43RrxR0p2BYk1a81j+ySN3MvpdSvekXHNWsjJ0Q2MSCArKU6v2CAV17Zt8TITFakXkQpwL2PUzC45ibAwizatzbGK1EtlKNkVJNauMwmL9u11MyOn16wpNGxg6visWu10a0TEm9zLGDWzSypByxhFpKIyD9jszzTHrmSGSFnatjWPqWkafJeKU7IrSKwtntnVQfW6pBwsy6J7d3O8XHW7RAJWZqbNvv1gWRpdl8pxJbsy9sChQ4oXInJ6rlldzZpBrVoaiJeTS4g358fGjQ43RPySkl1B4MgRm63bzHH7JGfbIv6jW1fV7RIJdK6lZ82bQWSkbjik4qKiLJo2NcdaZiIi5ZGmJYxSTm2Li9Rv1FJ5qQQlu4LAuvVg29C4McTG6mZGyqdHcd2uVashL0+j9SKBqKRel7PtEP/W1lWkXiPvIlIOrp0Y2yjZJafhSnbt3GkmcIhUhJJdQWDtOvPYQbO6pAJatoS6dSEvr2SDAxEJLBs3unZi1ECIVF67dub8Wb9RNyIicnpproEW7cQopxETY9GooTnWRihSUUp2BYE1a83FZ1KSAoqUn2VZdO9qjlckO9sWEfEOzewST0hKNI/r1jnbDhHxfbZtaxmjVIjrGkVL5aWilOwKAu6ZXSpOLxXUvburbpdG60UCTUGBzabN5ritdmKUKnAlu7ZshZwcxQsRObndGZCdDaGhEBfndGvEH7jrdqUqvkjFKNkV4A4csNm50xy7LkZFyqtb8cyulSnmxlhEAse2dMjPh1q1cBcYF6mM+vWhXiwUFWnkXUROzfUZ0aol1KihVSdyem0TzHmSqvgiFaRkV4Bzzepq0QJq11ZAkYpJiIfoaDh6FDao8LBIQHFdNCbEQ0iI4oNUnmVZJBXXBV233tm2iIhvc21k0a6ds+0Q/+FaxpiWBkVFGnyX8lOyK8BpCaNURUiI5Z7dtXyFs20REc9KTXMVp3e4IRIQEotvXNdv0I2IiJzchuKNLNq11SCLlE+L5hAeDkdzYMcOp1sj/kTJrgC3dp0JKB1UnF4qqVtXc+6sSNYNjEggcS0lSUhQfJCqS0ws3pFRM7tE5BTcM7vaOtsO8R9hYRZtWptjLZWXilCyK8CtWWse22tml1RS1y7mMWWV2UFHRALDscsYRarKVRc0bRPk5ipWiMiJjhyx2V48M6etdgGWCmhbnBx1zUoXKQ8luwLYnj02+/ZBSIhGT6TyEttBeA04cADStzvdGhHxhEOHbDL2mGMlu8QTGjeCOjFQWAibNjndGhHxRa5ZOY0aQZ06mlUs5ZcQb86XjaohLBWgZFcAc9XratMaatVSQJHKCQ8vKTy8cqWzbRERz0hNM49NGkN0tOKDVJ1lWSQWz+5at8HZtoiIb9ISRqks10zAjWnOtkP8i5JdAWzNWjPNU0sYpaq6FC9lXJmiqcMigcCV7GqrGw7xINdSxnXrFStE5EQlxekdboj4HVeya+dOsxxWpDyU7Apgrpld7VWcXqqoSydzDq1c5XBDRMQjUlO1E6N4norUi8ipbHDP7NK9iVRMTIxFo4bmOFWzu6SclOwKULZtu4vTd0hyti3i/zp3No+bN5taPyLi31zLALQTo3hSUjvzmJoGBQWKFSJSoqDAdtfz06xiqQz3UkbtyCjlpGRXgNqWDllZEB4OCdrtRKootq5FixbmeNVqZ9siIlVTWGiT5lrGqJld4kHNmkF0NOTnm10ZRURctm6FvHyIioKmTZxujfijBHeyS4MpUj5KdgUoV0IiKRFq1NDIvVRd1+LZXcmq2yXi17bvgNxcMxjSvLnTrZFAYlkWHYrrhK7WwIiIHMNVXqVtAoSE6N5EKq5t8Wz0VM3sknJSsitArVptEhIdOzrcEAkYXTqbAJOS4nBDRKRKXBeJ8W0gNFQ3HOJZnYqvO1zXISIiAGvWaeMsqRrXzK60NCgqUoyR0wtzugHiHavXmMdOHX3zRmbTpk188MEHLFmyhEOHDlG/fn369+/PbbfdRt26dcv1M55//nm+//57AMaMGUP37t1Lfb2oqIh3332X7777jqysLDp27MhDDz1Eu3btTvhZBQUF3HzzzURGRjJu3Dgsq2L91rdvXwDmz59/0u/54YcfeO655xg2bBhPPvnkCc8fq2bNmkRHRxMXF0enTp0YNmwY8fFlrzc62c/1NFfdrtVrTN2FsDDfPLdE5NRS08wFYlsHl7gHbAyYO/uk3+PvMaC8zHWHrSXvIlLK2uJawh3bV+/1Y8DGm/Lec/z9byXPT/6J5/71Qqnv9ad406K5mZV+NAd27MBdYkXkZDSzKwDl5NikFu920skHZ3YtXryYP/7xj0ydOpXo6GjOPvtswsPDmThxIjfddBMZGRmn/RlLlizh+++/P2WA+Pjjj3n//feJiorizDPPJCUlhfvvv58jR46c8L0TJkxg06ZNPPzwwxUOOp7SokULhg0bxrBhwzj33HOJj49n06ZNjB8/nuuvv56nnnqqzLZXl1YtoXZts/xp40bHmiEiVeSa2eVUcXonYkC/fv0UA6qJaxnj1m1wKEsj7yIC+fm2u6h4dc7s0j1H2fw13oSFWbRpbY5VpF7KQzO7AtC69VBYBA0a4N6i1Vfk5OTw5JNPkpOTw6233srtt98OmN0j33zzTT755BOef/55Xn/99ZP+jNzcXF588UXi4+OJiopi5cqVJ3xPQUEB48ePp127drz33nuEh4czZcoUnn76ab755htuuOEG9/fu27ePd999l8svv5ykJOe2ruzatesJoyS2bfPbb7/xn//8h59//pmMjAxGjx5NWFj1v3VDQiw6d7KZNx+SUzQNXcRfuS4QExwoTu9UDGjcuDGfffaZYkA1qFvXokVzm/TtsGYN9OntdItExGmpqWbjijox0Kxp9fxO3XOcnD/Hm7Ztzb1uaprNwAFaZSKnppldAci1dKBjBxwbMTiZX3/9lf3799OqVStuvfVW9/OWZXHXXXfRtGlTFixYwIYNG076M95//33S09N55JFHTvoBvGPHDrKysjj//PMJDw8H4IILLiAiIoL169eX+t633nqLsLAw7rjjDg+8Qs+yLIv+/fvz3nvv0bBhQ5YtW8akSZMca4+7btcqjdaL+KPDh2127jLHTixjVAyoGF+LAeVVUrfL2XaIiG9YU1ycPimp+u5NFG8qxl/iTUK8OX+0ykTKQ8muALS6uCisL9brWrfORLvu3bsTElL69AsLC6Nr164AzJ5ddt2TjRs38sknn3DJJZecsF7+WFlZWQDUrl3b/VxISAhRUVHurwEkJyfz008/cdddd1GnTp1KvabqUK9ePfeI1IQJExxrR+dO5nHlSjMCJCL+JTXNPDZqCDEx1R8jFAMqx1diQHl17GDOLRWpFxGANWvNZ0GHalwVoHhTOb4eb1wDdRvTnG2H+AcluwKQayTVF+t1HT16FCgdEI7l+vAva5SlqKiIF198kdq1a3Pvvfee8vc0adIEgK1bt7qfO3ToEAcOHKBx48bun/fvf/+b9u3bc9lll1X8xVSzIUOGEBISQnp6erlqDHhDxw4QGgp79sJuZ5ogIlXgWsLoVHF6xYDK84UYUF6u64/VazQwIiIlxek7VGNxesWbyvPleOO6ftm5E44cUXyRU1OyK8BkZNjs2QuhIZCU6HRrTuTa9WTXrl1lfn3Hjh0n/frEiRNJSUnhvvvuO+2ISP369UlKSuLHH39k+fLlHDp0iNdff52ioiLOPvtsAL766is2bNjAww8/fMKIjy+KioqiWbNmgNlZxgk1a1ruILNqlSNNEJEqcO3EmOBQssupGHDw4EHFgGqUkGB2zMrKgm3pTrdGRJyUnW2zeYs5rs56r7rnqDxfjjcxMZa7JnWqZnfJafhWxTmpMtesrvh4qFXL95Yx9ujRgw8//JDff/+dAwcOlNryNyMjg0WLFgGQnZ1d6t9lZGQwZswYevbsybBhw8r1u+6//37+/Oc/c+edd7qf69evH/379+fgwYOMGzeOSy65hE6dOrm/npubS40aNSodiFzbAXtL3bp1SU9P59ChQ179PafSuZMpDJmyymbIYN87x0Tk5Fw1Lto6tBNjwMeA/ueW/OWf5578GyvJF2JAedSoYZGUaLMyxVyXtIxzukUi4pT1G6CoCBo2gAb1qy/2BHy8CYJ7jpNpmwAZe8xs9a5dnG6N+DIluwLM6jWuel0ON+Qk+vTpQ1JSEuvWrePBBx/k4Ycfpk2bNqSmpvLiiy9SUFAAnFi88pVXXiE/P59HHnmk3L+rV69efPjhh/z0008cPnyYTp06cdFFFwHw9ttvA3DPPfcAsGjRIl599VU2bdpEREQEQ4cO5cEHHyQiIqJCr6+soBgREUFubi7p6ekkJydX6Ocdz7UcxMmNBzp1spj0tU2KCg+L+JXCQpu04gFap5YxOhUD8vLyaNeunfdjwNCLCN2+FIDC5j3BKrmJCZQYUF4dO1Kc7LIZeqHvt1dEvGNN8RLG6t7FOxjvOVwCPd4kJMDv82Fjqg34XvvEdyjZFWBK6nX55hvfsixefPFF/vKXv7BmzZpSu6PUq1eP2267jbFjxxITE+N+fsaMGcyZM4eRI0fSunXrCv2++Ph4d3BxWbNmDd9//z0PPfQQdevWJSMjg4cffpiEhAReeOEFNm3axHvvvUfNmjX585//XKHfd/w2vgCxsbFkZmbyww8/VDnwHDx4EKBU/1Q3V5H6DRsgN9cmIsI3zzURKW3HTsjJMcvLmjd3pg1OxQDX5zB4OQY8/ncifv47ALkX/h3Cwt1fC5QYUF7mOsRmtQZGRILaWndx+uq9XgzGew6XQI83Zna6TWqq0y0RX6dkVwApKLBZW7y1b8cOzrblVJo2bcpHH33ErFmzWLlyJbm5ubRp04YLL7yQmTNnAtCmTRv398+dOxeAhQsXsmzZslI/y1VU8tVXXyUqKoqLL76YSy655KS/27ZtXnnlFdq2bcsVV1wBwKRJk8jLy+O5556jWbNmDBo0iPT0dCZNmsSdd95JzZo1PfnyK+3IkSNs374dKN0/1a1pE6gXC/szzXJGTR8W8Q+uJYzxbSAszLkktWJA5fhKDCgv1wzz1FRTsycyUgMjIsFoTfG9SXXuxOiieFM5vh5vXHVH09KgqMgmJETxRcqmZFcASU2DvDyIjoY4H6+PERYWxpAhQxgyZEip51euXAlAz549T/g3KSkpJ/1569evP+m/O9b333/PmjVrGDNmDKGhoQBs3ryZunXrugsxAnTs2JHJkyezbds22rVrV74X5WW//PILtm3TsmVLGjZs6Fg7LMuiU0ebOb9Byiolu0T8hZnu71xx+mMpBlScr8SA8mrcyKJpE5udu8xyxj69nW6RiFS3zAM2xXXgSUpypg2KNxXn6/GmRXMzS/1oDuzYAS1aON0i8VVKdgUQ1xLGjh3wywz3vn37mDFjBnXq1GHgwIHu55988smTTtW96667WLZsGWPGjKF79+6n/PlZWVn897//ZejQoXTr1q3U13Jzc0v9PScnB8BndkzZv38/77zzDgBXX321w60xdbvm/GazarXWyov4C9euRU4Vpz8dxYCT87UYUF7dusHOXbA82aZPb98870TEe1w7d7duDTG1feczQPHm5Pwh3oSFWbRpbbNuvSlSr2SXnIxvvKvEI0ziwXeL07ukpqae8EGfkZHBX//6V7Kzs7n//vu9Mo137Nix5OXlnbCePj4+nuzsbGbPng1AQUEBM2bMIDw8nOZOFbYpZts2v//+O7feeit79+7ljDPO4PLLL3e0TVBStytlVUkBSxHxbSU7MTrbDsWA8vPVGFBe3buZm9sVKxxuiIg4YmWKuUbs0uk03+glijfl52/xpm1b85iapvsQOTnN7Aog7pldPlqc3uWTTz5h1qxZJCUl0aBBA/bv309ycjJ5eXmMHDmSiy++2OO/c8OGDXz99dfcd9991K9fv9TXhg8fzhdffMETTzxBnz59SE9PZ9OmTdx0003VunY+OTmZZ599FjDB7+DBg6xbt44DBw4AMHToUB5++GHCwpx/27ZPgtBQ2LcPdmdAk8ZOt0hETiUry2bXbnPs9DJGJ2LA2rVrFQMc0L2reVyzVhuaiASjlOKZXZ07O/Pe1z1H2QIh3iTEmyL1roE8kbL47hksFXLwoE16ujnu6EAByIoYMGAA+/fvZ8OGDSQnJ1O7dm369u3LNddcQ69evbzyO//zn//QunVrhg8ffsLX6tevz2uvvcbo0aOZP38+0dHR3HDDDfzpT3/ySltOJj09nfTi/8SIiAhq165NmzZt6NSpE8OGDSM+Pr5a23MqNWtatE0w04dXrVKyS8TXpW0yj40aOb+UxIkY8M9//lMxwAHNm0P9+mZgZPUa6NHd6RaJSHXJz7dZs9YcOzWzS/ccZQuEeOOapb4xzdl2iG+z7HKuQXJt2e2Pjt1yPFDNW2Dz10dt4uLgs489uzo1GPrPmwK1/0a9XsSkr+Gq/4MH7vPeimh3/xXkEfHz3wHIvfBfEBbutd8ZKLx17sXGxp72e7x1zgfq+8kTTtU3k76yGfWGTb+z4OUXgq+CQbWdN372OVUd/fLUM0VM/xVu/aPFH2/2n5ld+qwpW2X6pTwx43T86f9C546xarXNHXfb1ImBH761sKyKv//Vlx5QHJfCw8PJGvS0z8el8jp0yGbYZSaN8fOPFlFR1RNfdE56TlX6srxxJfiueAPU6uJ6XR07ONwQCRqdOpmgkrLa4YaIyGn50k6MEly6dzexYvkK1VURCSYlSxipVKJL5FRiYiwaFW8UuTHV2baI71KyK0CU7MSoYCLVw1WkfsMGU4tFRHzXRh/fiVECV7fiul0pq8yyJhEJDq7i9J07Ke6Id7iXMqpul5yEkl0BoLDQdo+edO3sbFskeDRtAvVioaAA1q13ujUicjKFhTZpxcmudprZJdWsdSuoEwO5uYoVIsHCtm1Wppjjrl2cbYsErnbtzOP6jRpIkbIp2RUANm2G7GyoVQvatHG6NRIsLMuiU/HsLleyVUR8z/btJtEQEWEKhotUp5AQi67Fs7tWJDvbFhGpHrt2mY0pQkPNDt4i3pDYzswa3LDB4YaIz1KyKwC4Rk46dYSwME0Vlurjmpq+arVGVER81YbiWhbxbSA0VDFCql/3bua8W7ZcsUIkGKwsHgRNTISICMUd8Q7XzK60TVomL2VTsisApBSvie+iJYxSzTofM7OrnBu7ikg127DBvDddF4Ui1a1nD/O4YoVuSESCgfvepJPDDZGA1rQJREebkiqbNzvdGvFFSnYFgOTimV1dOmvkRKpXUqKZor5vH+ze7XRrRKQs64un9ye2VYwQZyTEQ906cDQHVq9xujUi4m3JK81jZ92biBdZlkWiu26Xs20R36Rkl5/bu89m506wLOjYwenWSLCpWdNy74Siul0ivse2bXeySzO7xCkhIRY9e5rjxUs0s0skkGVl2aQWb4rSTcXpxctc1zauWewix1Kyy8+lFM/qio+H6GiNnkj1cy9lVN0uEZ+zdy8cOAAhIWZ2jYhTzuhlrlGWLHW4ISLiVckrwbYhLg7q19e9iXiXa9a6dvuVsijZ5edWrtKaeHFWJ1eRes3sEvE5rlldrVqamZgiTulVPLNr1WrIztbgiEigWpFs3t/duzrcEAkKrpldG1OhqEixRUpTssvPrSxeE696XeIUV6J1/QY4elRBRsSXbCiuYZGoJYzisObNLJo2gcJCWJHsdGtExFuWrzCP3brp3kS8r2UchIfD0aOQvt3p1oivUbLLj+XmltRi6aydGMUhTZpAwwbmBkaFh0V8y3r3Toy66RDnndHLPC5eqoERkUCUnW27l5NpZpdUh7Awi4Ti+sEbNjjbFvE9Snb5sbXrzFar9etBs6ZOt0aClWVZdC2+oNFovYhvWV9806GZXeILevU0SddFixxuiIh4xarVZvCzcWNo0kSDLFI9Etuax/UqUi/HUbLLj60sLk7fubNJOIg4pXvxVHVXnQYRcd6hQza7dpvjdm2dbYsImJldlgVpmyAjQ/FCJNC463V1c7ghElRcs9ddpRtEXJTs8mMrU4qL06telzjMtbX0qtVQUKAbGBFf4Lroa9oUatdWnBDn1a1r0aG9OV6w0Nm2iIjnuep1de+qmCPVxzV7ff0GsG3dh0gJJbv8lG3bpLhmdmknRnFY69ZQuzbk5JTs/iYiznK9F7WEUXxJ3z7mJnj+Qt2QiASSvDyb1avNcTfN7JJqlBAPoSFw4ADs3et0a8SXKNnlp7Ztg4OHILwGJCU63RoJdiEhFl2LZ3e5RvVExFkbXMXp22qEXXxH3z7mcfESzQQWCSRr1kJePtSLhbgWTrdGgklEhEXLluZYg+5yLCW7/NTKVeaxfXuoUUM3MuK8bsVT1pNX6uZFxBe4Lvg0ICK+pH0S1K0DR46U1B4VEf/n2qSoWzfVEpbq55rFrrpdciwlu/zUypWuel0ON0SkmGtmV/JKKCpSwkvESTk5Nlu3meN2WsYoPiQkxKL3meZ4/gLFCpFAsXxFcXF61esSByQmmvNu3XrFFSmhZJefSime2aXi9OIrkhIhIgIOHYLNW5xujUhw25gKRUVmOUmD+ooT4lv69DbnpIrUiwSGggKblSvNsep1iRNcM7vWrXe2HeJblOzyQ4cO2e5kgorTi6+oUcOiU0dznJzsbFtEgp1rGr9mdYkv6t0bLMskZffu1Si8iL/bsBGO5pjNiuLbON0aCUZJiSauZGTA/v2KK2Io2eWHXLO64uLMNt4ivqJbV/O4PFlBRsRJ64uL02snRvFFsXUt2ieZ4/ma3SXi91ybE3XrapYqi1S3yEiLVq3M8Zq1zrZFfIeSXX5oZUpxvS7N6hIf06O7ucBZshRsWwkvEaesL57G366dbjrEN7l2ZVTdLhH/t6J4kLOb6nWJgzoUD6KsXae4IoaSXX7INXrSVQFFfEznTqZuV2YmpG1yujUiwSkvzyY1zRy7LvxEfI2rbtfixabej4j4p6Ii270TY3fV6xIHtU8ycUUzu8RFyS4/k5trs3adOXYtGRPxFeHhlvu8XLzE2baIBKuNqVBQAHXrQJMmTrdGpGwd2kNMDBw+AqtWO90aEamsTZshKwtq1YR2bZ1ujQSz9u3N49q1WmEihpJdfmbNWsjPh/r1oEVzp1sjcqIzehWP1i9RkBFxgmtAJCkJLEszgMU3hYZanHmGOdZSRhH/5Vpx0qULhIUp5ohz2iZAaCgcOAi7djndGvEFSnb5mZIljLqJEd90Zi/zuHw55OfrBkakuq1da953Hdo73BCR0+jbx1zHzF/gcENEpNJUr0t8RUSERUKCOV6zztm2iG9QssvPJK9UQBHflpAAdeuaLahXr3G6NSLBx1WrwlW7QsRX9e1ttorfsBH27NHgiIi/sW2bFcUD8arXJb7AXaR+rWKKKNnlVwoKbFammGPV6xJfFRJi0aunOdZSRpHqlZ1ts2WrOW6vmV3i42JjLfcMxN/nO9sWEam4bemwbz+E14D22hBFfECH9magb61mdglKdvmVjalw9ChER0F8G6dbI3JyZxbX7Vqw0OGGiASZDRuhqAgaNoAG9TWzS3zf2f3Mefr7PA2OiPib5OJdGDt2NEvIRJzmGuhbt97sFCrBTckuP+La1rdLF1PYVcRX9eltHteshcxMBRqR6lKyhNHZdoiUV7+zzOPiJWbHaRHxH656XV27ONwQkWKtW0FEBBw5Atu2Od0acZqSXX5EBSDFXzRsaJGYCLatpSki1WntOhMn2rdXnBD/0DYBGjWC3FxYstTp1ohIRaxYaR51byK+IizMIrGdOVaRelGyy0/Ytu2eKqx6XeIPzi4erf/td43Ui1SXtcUzu7QTo/gLy7Lcs7u0lFHEf+zda7NjB4SEQOdOTrdGpETHDuZx9WrFlGCnZJef2LIVDhyE8HAtTxH/4KrDsmiRlqaIVIeDh4pI326OkxKdbYtIRZx9lqtulxncExHf55rV1TYBoqI0s0t8R6dO5nxMWe1wQ8RxSnb5CVe9rk4doUYNBRTxfUmJ0KABHM2Bpcudbo1I4Fu9ugCAZs2gTh3FCfEfPXtAzZqQsQc2bnS6NSJSHsmuel1acSI+pnNH85i60exSLcFLyS4/keyu1+VwQ0TK6dilKVrKKOJ9KasKAc3+Ff8TEWFxRi9z/Ns8Z9siIuXjGojv1kWDK+JbGjWyaNQICotgrep2BTUlu/zEcne9LgUU8R/9i5cyzv0NCguV8BLxphXJ+QB07KA4If6nn3spo2KFiK/LyrJJTTPH2olRfFGX4jpyK1OcbYc4S8kuP7Brt83u3RAaYpYxiviLM3pBdDTs3VsyAiginmfbNitWmGWMKhQs/qhfX/O4Zi3s36+El4gvS1ltdtxu0Rzq19cAi/iezp2L63atUjwJZkp2+QHXLoyJiRAZqYAi/iM83GLgueZ42nQFGxFv2bED9mfahIVBu7ZOt0ak4ho0sEhKNDfQ8xY43RoRORXV6xJf55rZlbIKiop0DxKslOzyA8sVUMSPnTfEJGhnzoL8fAUbEW9IWWUeE9uZ+kci/si1i6+WMor4thUqryI+rm1biIiArCzYus3p1ohTlOzyA8uWm8ce3RRQxP/06A7165lgs3CR060RCUyrVpvkgJYwij9zbWqycBHk5SnhJeKLcnNt1qw1x6rXJb4qLMyiQ3tznKK6XUFLyS4ft3evzbZtEBKinRjFP4WGWgweZI61lFHEO1JWm8dOnTQoIv4rsR00aABHj8KSZU63RkTKsnYd5OdDvVhTs0vEV7kGAFeqblfQUrLLxy0tvthr1xZq19ZNjPin888z5+6cuXAoSwFHxJOOHrVJ3WiONbNL/FlIiEX/fuZ47lzFChFflLzSPHbtCpalexPxXe4i9ZrZFbSU7PJxS5eZi72ePRxuiEgVdGgPCfGQmwtTfna6NSKBZe06KCyCRg0tGjV0ujUiVdP/bHNzMvd3FRUW8UUrimsJq16X+LrOHc3jlq1w6JDiSTBSssvHLV1uHnv2UEAR/2VZFn+4zJzD335nY9sKOCKe4ipO361bDY2yi9/r2QMiI2HfPpPIFRHfUVhos7J4lozqdYmvq1vXIi7OHCdrdldQUrLLh+3abbNjB4SqXpcEgAvPh1o1zeiKa9MFEam61cXF6bt3DXO4JSJVFx5u0ae3OZ7zmwZGRHxJWhocOWIS0m0TnG6NyOl1L76HXrZc8SQYKdnlw5YV1+tKSoLISI3Wi3+LirI4/3xz/M13CjginmDbtrs4fbduSnZJYDjHtZRxrsMNEZFSXPW6OncyGxCJ+LoexaujlmnTk6CkZJcPU70uCTRXFC9lnDXbzFwUkarZsRMyMyEsDDp2ULJLAkPfvmZW+6bNsH27YoWIr1ix0rwfu3ZRokv8g+s+esNG1e0KRkp2+SjbtlWvSwJOu3YWPXtAYSF88aUCjkhVuWqntGsHERGKFRIYYmpbdO9ujuf85mhTRKSYbdusSDbHKq8i/qJBfYuWcWDbsHyF062R6qZkl4/asQN27zaj9V06O90aEc8Zcb25If/+RzhwQAkvkapw7YrVXTceEmDcuzKqbpeIT9ix02wcYWYSO90akfJzze5aqrpdQUfJLh+1tHhdcYf2UKuWRuslcJx5BiQmQk4OTPpaQUekKlYUj1J266Y4IYHlnLPNY/JKDYyI+AJXva72SZpJLP5FdbuCl5JdPsqVeVa9Lgk0lmW5Z3dN/AqOHNFNjEhl7N9vs3UbWJa2gJfA06SJRdsEKCqCefOdbo2IJLvrdTncEJEK6tndPKamQaYGT4KKkl0+yLZt98wu1euSQDTgHIiLg6wsk/ASkYpz1U6Jjzc1jkQCzTn9zeMcLWUUcZyrRqSK04u/iY21aNPaHC9f7mRLpLop2eWDtm41a+Jr1DBb+4oEmtBQiz/ebC6WPvvC5vBh3ciIVJTqdUmgO6e/iRMLF0FuruKEiFMOHrTZvNkc695E/JHqdgUnJbt80IJF5rFrF62Jl8A1ZBC0bg2HD8OXE51ujYj/cc3s6tpVcUICU7u20LixqfG4YKHTrREJXitXmcdWLaFuXcUc8T89VbcrKCnZ5YMWLjIZ5z69FUwkcIWGWoy8xZzjX0ywOZSlkRaR8srKstmYao61BbwEKsuyGHCOOZ41WzFCxCmq1yX+rns3U+N08xbYu1fxJFgo2eVjcnNtli03x73PdLQpIl438FxIiIcjR+DLCQo8IuW1MgVsG1q0gAb1NTAigWvQQHN+z/0d8vIUJ0ScsLJ4J0bV6xJ/VaeORfv25ni+ZgoHDSW7fMzKFMjNhfr1TRJAJJCFhJTM7vpyIhw6pBsZkfJYrnpdEiQ6dYQGDcygyKLFTrdGJPjk5tqsXWeOu3R2ti0iVdG3t3mcP1/3G8FCyS4f41rC2PsMM31fJNCd0x/aJkB2Nnz2pYKPSHmsWGEeu3VTnJDAFhJiMfBcczxzlmKESHVbuw7y86FeLDRv7nRrRCqvbx9zzbRoCRQUKJ4EAyW7fIyrOH1v1euSIHHs7K6Jk+DAAQUfkVM5erRklF31uiQYuJYyzvkN8vMVI0Sq08oU89i1iwbixb+1T4I6MWamcMoqp1sj1UHJLh+yd59NaqopnndmL6dbI1J9zukPie3g6FH47AvdyIicyopkKCyEJo2haROnWyPifZ07Qf16ZvfexUudbo1IcCkpTq9El/i30FCL3q6ljAt0vxEMlOzyIYuKZ3UlJWpbXwkulmUx8o/mnP/qa8jMVAASOZklS837o1cvjbJLcAgNtThXSxlFql1Rke2e2dVFOzFKAOhbvHpq/gKHGyLVQskuH7LAVa9LuzBKEDr7LDO9+GiOaneJnMriJebxjF5KdEnwGDSgeCnjXNVaEakum7dAVhbUrAnt2jrdGpGq693brKLamAoZGYolgU7JLh9RWGi7Z3b1Ub0uCUKWZXHLzebc//Y7OHxYAUjkeAcO2GzYaI579XC2LSLVqVtXqFsXDh2Cpcucbo1IcHDN6urUEcLCdH8i/i+2rkXnTuZ4zm/OtkW8T8kuH7F6DRw8BNHRJqCIBKN+faF1a1M48utvnW6NiO9ZUnyTnxAP9erpxkOCR2ioxYBzzPGMXzUYIlIdXPW6unR2uCEiHnROf3P9NHuOYkmgU7LLR/z2u3mz9e2jkRMJXiEhFjdcZ87/CRNtcnMVhESO5a7X1dPhhog4YMhgEx9mzkLxQaQaJK80jypOL4HENXCyfDkcPKhYEsiU7PIRv88zj/3OUjCR4Hb+EGjUCPZnwpSpTrdGxLeoXpcEs+7doFFDOHxExYVFvG3vXpudOyEkRKtOJLA0b27RNgEKi+C3351ujXiTkl0+YOdOm7RNEBoCfXs73RoRZ4WFWVx7VfHsrkk2tq0RFxGAHTttduyA0FBz0y8SbEJCLM4/zxz/PE2xQcSbkovrdbVNgKgoDbBIYDn3nOKljHMVSwKZkl0+wDWrq0sXiIlRMBEZNhRq1YTNm2HR4gKnmyPiE5YUz+rq2AEiIxUrJDhdeL459+fNh0OHdJMi4i2q1yWBbMC55nHhQsjOViwJVEp2+YDf5pk3mJYwihjR0RYXnG+OP/six9nGiPiIxcX1us7o5XBDRBwUH2+Wn+Tnw4yZTrdGJHCpXpcEsvg20KIF5OXDXO3KGLCU7HLY4cM2y5ab47PPcrQpIj7lyivMxdX0GXns2aMRFwluhYU2ixebY9XrkmB3QfHsrqlayijiFdnZNhs3mmPN7JJAZFkW5w8xx1oWH7iU7HLYb7+b0cnWraBVK93AiLgkxFt06wqFhfDdDwpCEtzWrIWDhyA6SoWCRc4fApZlZp7s2Kn4IOJpq1ZDURE0bQKNGun+RAKTa+Bk0WLYv1+xJBAp2eWwmbPNG2vgAIcbIuKDrrzcBKEfJ5uZLSLBat58c/737m02cRAJZg0bWvTqaY6n/eJsW0QCkep1STCIa2HRsYNJ7P4yw+nWiDco2eWg7GybBcVbZw8coJsXkeP1Pxtialtk7IFlK5xujYhz5hXHirP6KlaIQEmh+qnTtGuviKepXpcEiwu1LD6gKdnloHnzTVG8Fi0gId7p1oj4nogIi6EXhQMKQhK89u6zWb/eHPft7WxbRHzFgHMhIgK2bDVLrkTEM/LybFammOPu3R1tiojXDR4MoSGwdh1s3qJ7jUCjZJeDfp1l3lCDBpgieSJyossviwBg9hwoKHS4MSIOmF88q6tDe4iNVawQAYiMtBg80Bx//6NuUEQ8Zc1ayMuD2Fho1dLp1oh4V2xdi7OKN4n77nvFkkCjZJdDsrNt9w2MljCKnFyXLmG0jIPcPMjIcLo1ItVvfnG9rr59HG6IiI+59BLXrr1md2sRqTrXLvE9umswXoLDHy4z5/nkKZCTo1gSSJTscsicuZCTAy2aQ2I7p1sj4rssy2LoRSYIadctCTYFBTYLF5vjfmfppkPkWF06Q+vW5npq2nSnWyMSGJYtN9daPbor5khw6HMmNG0Khw+rUH2gUbLLIT8X1x+68AJLoyYip3Hh+Wab+QOZcPSo060RqT7JKyE7G+rWhaREp1sj4lssy+Kyi8011Hffq1C9SFXl5dmkrDLH3bs52xaR6hISYvGHS00s+eZbxZFAomSXA/bts1m8xBxfcJ6zbRHxB40aWfTqYY537nK2LSLV6fd5JUsYQ0I0MCJyvAsvgPAasGEjrFvndGtE/NuatZCbawZYWrdyujUi1efiYVCjhilUv3qNEl6BQskuB0yfAUVF0LkTNG+umxeR8jhviHmv7Nqt0XsJDrZtM3uuOT5bSxhFylSnjsXAAeb42x8UG0SqYvkK86h6XRJsYutaDB5kjj/7QrEkUCjZ5QDXEsYLzlcQESmvs/tBSAhkH4G0TU63RsT7UtNgxw4za6VPb6dbI+K7XIXqf/nFbAAkIpXjqtfVvZvuUST4XHeNOe9nzYb0dMWSQKBkVzVLTbNZtx5CQ3FvmS0ipxcdZVG/gTn+daYCkAS+2XPM45lnQmSkbjxETqZ7N4iLg6M5MPUXp1sj4p/y821WppjjHt0dbYqII9omWPTtY1Zgff6l7jUCgZJd1ez74in255wNdevq5kWkIpo0Nu+ZGTPRUkYJeLPnmHN8wDmKFSKnYlkWlxXP7vr6Wy11F6kMd72uOtCmtdOtEXHGDdeZWDL5J9i/X7HE3ynZVY1ycmymTDXHrin3IlJ+DeqbWZE7d5mLMpFAtWOnzcZUCA0xS3hF5NQuHgoREZCaCiuSnW6NiP9Zusw8du+mel0SvLp3g44dIC8fPv1cyS5/p2RXNfp1Fhw+DE0aw5lnON0aEf8TGgoNGprj6TMUgCRwuZYwdutmCnCLyKnFxFhccL45nviV4oNIRS1eYt43Z/RSzJHgZVkWf7zFvAe++gb27lM88WdKdlWj7743b5ZLL7G0hbxIJbmWMk7/FYqKFIAkMLmWMJ6rJYwi5Tb8SvN+mTMHdmcoPoiUV3a2Tcoqc6wBeQl2fXtDl86Qlwcfj1cs8WdKdlWTtE2m6GNoiJlqLyKVU78eREfC3r2QvNLp1oh43v79JUWCz+nvbFtE/ElCvEX3blBYBN9+pxsUkfJavgIKCqBpU2jeXIMsEtwsy+L2W8374LsfYNduxRN/pWRXNfnhR/Mm6dcPGjRQEBGprJAQ6H+OOf5FSxklAM2eA7YN7ZOgcSPFC5GKcM3u+u4HyM1VjBApj0WLzXtFs7pEjJ49LHr2gPx8eOc9xRJ/pWRXNcjOtpk8xRxfpsL0IlU2aIB5H82cCQUFCkASWFxJ3MGDFC9EKqr/2dCoIRw4ANNnON0aEf+weIl5PFP1ukTc7rrDvB9+ngpr1up+wx8p2VUNfppiCtO3aA59ejvdGhH/17O72Rr7wEFYttzp1oh4zp49tnsnuSGDnW2LiD8KC7O48gpzg/LFBBvb1g2KyKns3WuzaTNYFvTq6XRrRHxHh/YWF11ojt94U/HEHynZ5WVFRTYTJpk3xlXDVZhexBPCwiwGnGuOtZRRAsn0X80Sxq5dtIRRpLIuuxRq1YTUtJIZKyJStkXF75H2SWZXUxEpccdtFjVrwsoUmPGr062RilKyy8t+nwfp26F2bRh2kdOtEQkcQwabC7JZsyE/XwkvCQy/TDfn8nlDdMMhUlkxtS0uHmaOP/9S8UHkVOYvMO+RM1SvS+QEDRtajLjeXJO9PdYmJ0cxxZ8o2eVlX0wwb4jLLoFatXTzIuIp3bqanRkPH4ZFi51ujUjVpafbrF1ndu0dNMDp1oj4t6uGW1gWLFhodsQWkRMVFNgsWGiOzz5L9ykiZbn2amjUCHbvhg8/Pup0c6QClOzyopRVNsuWQ2go/N8VCiAinhQaajFooDme/qtuZMT//VJcTLtXL4iNVcwQqYrmzSzOLd6598sJihEiZVmZYgYN69aBDu2dbo2Ib6pZ03IXq3/n3aNkZCim+Aslu7zoo/HmjXDRhdBItVdEPM61W92cudpiXvybbdvu+nPnDVa8EPGEa64y76Wp02D/fsUIkePNm2/eF336mEFEESnbeYOhS2c4mgNvjVE88RdKdnnJho02v8+DkBDc63xFxLM6dzJbzGdnw/yFTrdGpPLWb4DNm6FGDdyzUUSkarp0ho4dIC8fvv5WNycix/t9nnnspyWMIqdkWRYPPmCWx0+fAcuWK6b4AyW7vGT8J+YNMGgAxLVQABHxhpAQi8GDzPEM7coofuzHyeb8Pbc/REcrZoh4gmVZXHO1eT99/Y1mAIsca/sOm81bTJ3I3ipOL3Jaie0srh4eAcBrb9gUFCim+Dolu7xg6zabGTPN8Y0jdNMi4k2uXRl/mwdHjyroiP/JzbWZ+os5vuRixQwRTxpwDjRpDAcOwpSpTrdGxHfMm28eu3aF2rUVe0TK4/57I4mJgdQ0+OY7p1sjp6NklxeM/9TGtqHfWdA2QcFDxJvaJ0GzZpCTA7/Pd7o1IhU3Z64pENy4MfTs4XRrRAJLWJjFVcPNtdgXX9oUFWlQRARg1mzzXtASRpHyq1s3hD/dat4z775vk3lAMcWXKdnlYVu32fz8szm++UYFDxFvsyyLIcVLGadrKaP4oR+KlzAOu0gFgkW84ZJhEBUFW7eV1CgSCWb799usSDbHA891ti0i/ubSSyCxnRmoHPeO7j18WZjTDfA1mzZt4oMPPmDJkiUcOnSI+vXr079/f2677Tbq1q172n//wYc2hUVmVteK5Z/x0YcrSE1NJTMzk7y8POrXr0+PHj244YYbaNu2rfdfkEgQiAifSkHuJGZMS2XgHJs2bVrzhz/8gT/84Q9YVsWSB0VFRXz77bf8+OOPpKWlkZeXR2xsLD169GDEiBEkJiZ66VWIL/j0009ZscLzn9s7duzg448/Zv78+ezdu5fIyEji4uLo2XMAS5beAMCwi5ToEimvnTt38uWXX7JmzRq2b9/OwYMHCQ0NJS4ujkGDBnHttddSq1YtAKKiLC6/zOaTz+DjT2zO7keZsSEvL4/PP/+cX375hfT0dPLz82nQoAFnnnkmN998M82bN6/ulylB5q677mLZsmUn/fqoUaM466yzKvQzU1JS+PDDD0lOTubo0aM0btyYFnGDKSy8iY4datG0qWKPSFmWLl3Kl19+SXJyMllZWdSpU4cOHTpw6aWX8uf7z+Hu+2x+mAyXXWrToX3Z76PCwkJ+/fVXVq9ezerVq1m7di05OTkMGzaMJ598sppfUfBRsusYixcv5uGHHyYnJ4dWrVrRpUsX0tLSmDhxIrNnz+bdd9+lUaNGJ/33aZtsfplujm8baXHfvR+Sk5NDQkICCQkJgEmm/fTTT0ybNo0XX3yR/v37V8dLEwlYL730El9//TVYNcDqTFxcLdLTV/Liiy+SnJxcoUBi2zaPPfYYs2bNIiIigu7duxMdHU1qaipTp05lxowZvPzyy/Tr18+Lr0ic9OGHnv/c/v333/n73/9Obm4uSUlJdO7cmYMHD5Kamso333yDbd9Ar57ohkOkAlJTU/nss8+oX78+rVq1onv37mRlZZGSksLYsWOZNm0aY8aMISYmBoCrh1tMmGizajUsW37ikuHc3FzuueceUlJSqF27NmeeeSaWZbFu3Tq+++47fvnlF95++23at29f/S9Wgs6gQYPcydpjNWzYsEI/Z8qUKfzzn/+ksLCQpKQkmjRpwrp165j3+4dg/Ua/s8YA0R5qtUjgeOedd3jvvfcIDw+na9euxMbGsmfPHpYsWULdunV5/PFzufACm5+nwquv24x9y2ycdbzs7GyeeOIJB16BgJJdbjk5OTz55JPk5ORw6623cvvttwPm5vfNN9/kk08+4fnnn+f1118/6c94/wNTq2vguWa3hpdffpn27dsTERFR6vsmTpzIv//9b/71r3/x3XffERam/waRypgxYwZff/01MTExDD7vNX6Y3J6mzWHUqP088MADTJ48mb59+3LBBReU6+fNmTOHWbNm0bRpU8aNG1fqovLjjz/mrbfe4pVXXjHJNQlInv7c3rx5M4899hiRkZG88cYbdO3a1f21/PxCrrxqLdl5cPEwJbpEKqJ9+/Z8+umnxMfHl3r+yJEjPProoyxevJj//e9/3H///QDUr28xbJjNN9+a2qo9e5R+z33zzTekpKTQsWNH3njjDeLi4sjMzKSwsJBRo0YxceJEXn/9df773/9W22uU4HXffffRrFmzKv2MjIwMXnjhBQoLC3n88ce59NJLi5/P4/Ir/klR4TTSUkcDj3mgxSKB44cffuC9996jU6dOvPDCC6Umu9SsWZNVq1YBcNcdFnPm2qxZAz/9DBcPPfFnhYWFMXToUNq3b0/Hjh3ZsmULzz33XHW9lKCnml3Ffv31V/bv30+rVq249dZb3c9blsVdd91F06ZNWbBgARs2bCjz36/fYDNzNlgWjPyjuYDq1q3bCTdMAMOHD6dFixbs37+fTZs2eecFiQSBr776CoDrr7+e66/tAMCChRASUt99gzN+/Phy/7zly5cDcMUVV5wwejpixAiio6PZuXMn+/fv90DrxRd5+nP79ddfJzc3l3/84x+lEl0A8xeEkHmgA3VizI5xIlJ+DRo0OCHRBRAVFcVtt90GmBn7x7ruGouQEFi4CNatL11nxfX5f9111xEdXTLTJTQ0lD/96U8ArF692pMvQcSrfvjhB3Jzc+ndu7c70QXw+/waWGF/ISQkkhnTf+DgwYMOtlLEt+Tk5DB69GgiIyN5+eWXT1jVVatWLffM/wb1Lf54s7nv/+9Ym6ysE+t31apVi6eeeoprrrmGLl26lHmNKd6jZFexdevWAdC9e3dCQkp3S1hYmPsmZfbs2Sf8W9u2eXuMObnPGwLxbU4/Qh8aGgpAjRo1qtRukWDmet/27NmTli0tOnaAwiKY+ot5LiQkhPXr17Nr165y/bxTvR8ty8KyLEJDQ0vdCEnwqOjn9u7du1mwYAHNmzcvc+nrpK9N3LjkYoiI0MwuEU9xzbw8/r3avJnFkMHmePynpW9KyvO+rlOnjmcaKFINjr1GOtYv020sK4bGjdtSWFjIb7/95kTzRHzSzJkzOXjwIEOGDKF+/fqn/f7hV0KrlnDgALz/PxWr9zVKdhU7evQoALVr1y7z664LnLJmds1fCIuXQI0acPutp79h+emnn9i6dStxcXHExcVVodUiwe34962rwPdPU2zCwsLc9S5ONiPzeH369AHg66+/Zs+ePaW+9vHHH5OVlcWFF15IeHi4R9ov/qMyn9tLly6lqKiILl26UFBQwC+//MKrr77Kv//9b959dxKLFh8iJAQuv0yJLhFPycnJ4X//+x8AZ5999glfH3G9eb/NnAXb0ktuTFyf/5999hmHDx92P19YWMi4ceMASs2OEfGm77//npdffpl///vffPHFF+UetDtWWfc223fYLF9hVqLExZ383kYkWC1ZsgSALl26kJWVxcSJE3nppZd47bXXmDFjBgUFBaW+v0YNiz/fb+LKV19DWpoSXr5ExaKKuXZaPFkw2bFjR5lfLyiweeu/5qQefiU0K6PA8Pjx40lLSyMnJ4fNmzeTlpZGw4YN+ec//+meKSAiFecqFrlr1y7atGnD4MHwxpuQmgbLlh/kyJEjwMnf18fr2bMnN9xwA5988gnDhw+nR48eREVFkZqaSnp6OhdffDF//etfvfmSxEd44nPbtdyxVq1a3HnnnaSkpBz3HWPp3ON5mjY908OtFwkehw4d4rXXXgPgwIEDrFq1ioMHDzJgwACuv/76E74/Id6i31k2v8+Dj8fb/P1v5rrtoosuYv78+UybNo0rrriCXr16YVkWa9euZf/+/dxwww2MHDmyOl+aBLEPPvig1N9Hjx7NyJEjK3QOlnVvM+Vnc89yRi/I2Fn2vY1IMHNdux04cIDrrruOvXv3ur/2+eef87///Y9XXnmFxo0bu58/8wyLAefazJoNo96weWNU2Tv+SvXTzK5iPXqYbXl+//13Dhw4UOprGRkZLFq0CDA7Khxr8hTYvBliYuDGEWWf1PPnz2fy5MnMmDGDtLQ0mjRpwrPPPqsdfUSqqHv37gD8+OOPAMTUtnBtlDdu3A/u7zv+fXsq9913Hw8++CAFBQXMnz+f6dOns3nzZpo0aULv3r2pWbOmx9ovvssTn9tZWVkAfPfdd2zZsoVnn32WqVOn8uGHX1Aj/ELgEOvXPkZGRoaXXoVI4MvJyWHy5MlMnjyZ33//3b385G9/+9tJP69vvtFcr02ZClu3mZv/0NBQnn76aUaMGEFWVhYzZ87k119/ZefOnbRu3ZozzzxTA5TidT169OCpp55i0qRJzJw5ky+//JI777yT0NBQxo0bxxdffFGhnwUwbdo08vPzKSqymfKz+VrXLmtJTU0FKnaNJBLoXNduY8eOJSYmhjFjxjB9+nTee+89kpKSWL9+PY899hi2XXoG1713WYSHm91+Z8ys/nZL2ZTsKtanTx+SkpLIzs7mwQcfZNWqVWRnZ7Ny5Ur3jS+UztJmZ9u8+5450W+5ySKmdtnJrjfffNM9WjhmzBji4uK46667Thi1EZGKueGGGwgNDeWXX35h9OjR7Nq1i3POPkhRwTcsX/aO+8akvKMreXl5PP7447zxxhvccsstfPXVV0yfPp233nqLiIgInnrqqQoVvBf/5YnP7aKiIsAsg3r00Ue54IILiImJYc3altghTxEe0YGjRw8zadIkb70MkYDXqFEj5s+fz7x58/j22295/PHHWb58OTfccANr164t89906mhxdj8oKoL3PjDXcYcOHeLee+9l4sSJPPjgg8yePZupU6fy8ssvc+DAAR566CGmTZtWnS9NgtCf/vQnhg4dSvPmzalZsyYtW7bklltu4eWXXwbg3XffJScnp1w/68ILL6RRo0bs2rWLv/71r0yenMqOnUcIr7GAb776e4WvkUSCgevaLTQ0lFGjRtG9e3eioqLo1KkTo0aNIjIyktWrV7Nw4cJS/65pU4sbbzDvpbfetjl6VMsZfYGSXcUsy+LFF18kPj6eNWvWcOuttzJ48GBuv/12MjMz3Tv7xMTEuP/Np5/b7M+EFs3hij+c/nfUrl2b7t27M2rUKNq3b8+4ceO0s49IFbRv354nnniCiIgIPvnkEy6//HL+8cRQigpexgrpRdt2pl7Lse/bU/nwww+ZPn06w4cP5/bbb6dZs2ZERUXRq1cv/vOf/1CrVi3efffdE2Z/SuCqyue2q2ZcZGQkQ4YMAaCw0ObzCeYC6JxzLgFg2bJlXmi5SHCxLIvGjRtz6aWX8sorr3Dw4EGee+65E0bfXW4baW5Kps+Ajak2r732GsuWLePOO+/kmmuuoXHjxsTExHDuuefy4osvYts2b7zxxgn1WkSqQ58+fejQoQNZWVmsWrWqXP8mMjKS//znP+6E8HPPjaAw93yysx6kRo0w9zLf8l4jiQQD17XbGWecUWqpIkC9evUYMGAAUPa12/XXQtMmkLEHPvpEyS5foGTXMZo2bcpHH33E888/z7XXXssVV1zBQw89xGeffUa9evUAaNOmDQA7dtp8+rn5d3fdYVGjRvlHRcLCwjjvvPOwbZu5c+d6/HWIBJOhQ4cyYcIEHnjgAa644gquvfZaLr7kFUJqvMK2rQeAkvft6UyZMgWAQYMGnfC1Jk2a0KlTJ3Jyck46W0ACV2U+t5s2bQpA48aN3SPns+dAejrUrg3nDTFfz8zM9E6jRYJUx44dadmyJRs3bnTXXD1eu7YWg4s/6t99r8A9a2vw4MEnfG+HDh1o1qwZe/bsYfv27V5rt8ipuDZH2bdvX7n/Tbt27fjyyy958MEnCK0xHCv0Sm655TE+/vhj98yu8l4jiQQD17Wb6/F4zZs3B8q+douIsLjvHnO99/kXpTdBEWeoQP1xwsLCGDJkiHsU3mXlypVAyfa9r4+2ycuDnj3g3HMq/ntcRSN1kyNSdY0aNeK6665z/z3zgM30mTlkH95AzZqRJCUllevnuGonRUdHl/n1qKgooGQ9vwSXin5uJyYmAiXni23bjP+0ZEOT3NxDQMkoooh4zrHvV9fNyfFuvcVi5iybOb9lUpifD5R8zh9Pn//itEOHTMyoaO3QmjVrcjT3YqzQYXTuDHfeaeY6HH9vIyLm2m3WrFkn/aw/ePAgcPJrt3P6Q+8zYeEi+M8om1H/1lJhJ2lmVzns27ePGTNmUKdOHQYOHMjc32x++x3CwuChP1uVOoGXLl0KQIsWLTzdXJGgF1vXIqHND8BRmjS5qNwXhvXr1wcoc+ZWYWEh69evB04+2iOBraKf2126dKFOnTrs27ePLVu2sHgJrFsPERHwf1dY7inw5U3Gikj5HDlyhHXr1mFZFs2aNTvp97VqZXHh+QAxWFYNoOzP/yNHjrB161bAzPIVqW6ZmZmsWLECoMIbXOXn23z9jRlouer/zD3Lhg0bWLZsGfHx8XTr1s2zjRXxY+ecY2axJCcnn7BsvaioiCVLlgAnv3azLIuHHrAIrwGLl8C06d5tr5yakl3HSE1NJTc3t9RzGRkZ/PWvfyU7O5v7778fiOC1N0zAuOYq2LxpFtdccw3PPPNMqX+3YsUK5s2b5y5y51JQUMCXX37JlClTiIiI4LzzzvPqaxIJdGvWrDnhudmzZ7Nh3VtAXXbtuY29+0pPI37mmWe45pprmDlzZqnnzz33XADGjRvnvrEBk+j673//y86dO2nSpIl2Ug1Qlf3cnjBhAtdccw1vv/12qefDwsK47rrrsG2bV155hf99dBiASy+B9esX8eOPP2JZFpdffrlXX5dIIPr222/LXFKYkZHBk08+SXZ2Nv369XOXoXC59957ueaaa9x1j2652SIsLBysPgC8/vrrpbaaz83N5eWXXyYnJ4euXbvSoEEDL74qCWbJycnMmjWLwsLCUs/v2LGDRx99lKNHj3LOOefQqFGjUl8/WQwCWL9+Pb9ML2DffqhfHwYNgE2bNrl3k/vLX/7i1dck4m8SExPp3bs3u3btYsyYMaXqPn7wwQekpaURGxvLwIEDS/27Y+8tWrSwuKl419/Rb9kcytJyRqdoGeMxPvnkE2bNmkVSUhINGjRg//79JCcnk5eXx8iRI7n44osZ924Ru3ZDo0ZmB8bp0w+zZcuWEy6mtm3bxnPPPUfdunVp3749MTExHDx4kNTUVPbu3UtERAT/+Mc/Tih8JyIV88c//pEWLVrQqlUratWqRVpaGmlpadSpU4c2Cf8hdVNdvpxoc/cdJTMwd+3axZYtWzh8+HCpn3XrrbeyYMECtmzZwogRI+jSpQsxMTGsX7+e7du3ExERwRNPPEFYmD46A1FlP7cPHDjAli1bSt0gu4wYMYIlS5awaNEi4BpCQjuxYulBJny+isLCQu688046depUTa9QJHBMmTKFF154gTZt2tCqVSvCwsLYvXs369atIy8vj/j4eB577LET/l16ejq7du1y72jXvJnFVf9n89nn90PhatavX8/VV19Nz549CQkJYc2aNezZs4eYmBgeffTR6n6ZEkS2bt3Kc889R/369UlKSiI6Oppdu3axbt06cnNzT3pOnyoGjRo1iuTkTRTZ7agdWZd7780gJSUFgEcffZRevXp5/XWJ+JvHH3+c2267jfHjxzN79mwSEhLYvHkzmzZtombNmjzzzDMnLGM8/t7i+mth2i+wZSvceefL1KppVoe4lkH+/vvv3Hrrre5//95771XTqwsuumM7xoABA9i/fz8bNmwgOTmZ2rVr07dvX6655hp69erF1q02n31hvveB+yxq1Tr58sWePXty8803s2zZMjZu3MiBAweoUaMGTZs2ZdCgQVx99dXuQpMiUnnXXnstS5cuJTk5mdzcXBo3bsx1113HjTfeyJq1sTz6d5tvv4ObbrCJjj71kuM6derw/vvv8+mnnzJr1ixWr15Nfn4+DRo0YNiwYdx4440q5BrAvPG5HRYWxqhRo7jhxk/ZsvknsBewdWsNevTowbXXXkv//v299GpEAtuIESNo0aIFKSkpLF26lCNHjhAdHU2nTp0YNGgQl19+OeHh4eX6WX+82WLqtBbs2/8R3buOJ3P/PBYtWoRt2zRq1Ijhw4dz0003nTCjRsSTOnXqxJVXXsmqVatYs2YNhw4dolatWrRr147Bgwdz5ZVXVrheV9t2F7Fs+RQsNrB502FiY2MZMmQII0aMcNeVFJHSGjduzEcffcR7773H3LlzmTNnDrVr1+b888/n/vvvp2HDhqf9GeHhFg8/BPf92SYtbTPYpXdRPXDggHZ3rwaWfbI9mY/jz4XUY2Njq9z+wkKbu++zWbUa+vaBV16sXK0uf+SJ/gtm6r+qcfdfQR4RP/8dgNwL/wVhp7+JKSqyuXmkzabNcMftFjfeEBzvWRdvnXuxsbGn/R5vnfP++H5akWxzz/02oaHw6UcWzZt75zz0x76pLtXWN5X4nHKSzpkSk3+y+ddLNrVqmfdpYmI99U0ZKnPOlCdmnI4//V/4yvvKtm1uvcNm/XoYcT3c+Sf/q17jK33p14rjUnh4OFmDnvb5uOTrKnpO/uvFIiZPgdat4b2xFhERwXUvcipVeX+XN67436eeQz7/Elathqgo+OtfgifRJeLPQkIsbrjevFe/nGiTna0181K9bNvmnffMeXfxMLyW6BKRqrnoQujcCY4ehf+8ZlPOsWARn/XrLFi/HmrVhGuvVuwRccLdd1rUi4XNm3FfD0r1UbKrHNI22bz7vjk577/XonEjBQwRf3HeYGjeDDIz4cuJTrdGgs2ixbB8BYTXgFtuVOwQ8VUhIRaPPGwRFgZzf4PJU/KcbpJIpeXl2fx3rLl3ue5ai7p1FX9EnFC3rsWjfzXvvy8mwLLlSnhVJyW7TqOgwOb5F2zy86HfWTDsIqdbJCIVERZm8afbTJD55DObzEwFGakeBQU2o98y59vlf4BGGigR8WnxbSxuGmHep/98/gg7dypeiH+a+BXs3AkNGsB11zjdGpHgdnY/i0svBtuGf71oc+SIYkt1UbLrNMa9a7NuPdSuDY9o+aKIXxo0EJISzfKU/32kACPV4/sfYdNmiIkxu/eKiO+7aYRZzpiVZfPMczYFBYoZ4l8yD9h89LE5b2+/9dQbaolI9bjvHoumTWDnLnjlVS2Vry5Kdp3C7/NsPv3cHP/tEYsGDRQsRPxRSIjF3Xea9+8338GmzQow4l2HsmzeLa7NcOsfLWJiFD9E/EFYmMVTT1hER1ukrIKx7yheiH95402bw0egXVu46AKnWyMiAJGRFv943CI0BH6ZDl9943SLgoOSXSexa7dZvggw/EoYcI5uVET8Wa+eFmf3g8JCeFXFh8XLxr1rc/CQ2X3nD5c63RoRqYimTS2eeTIKgM++gO9/ULwQ//Db7zbTfoGQEHj0YYvQUN2/iPiKrl0s7r7LvCdHv2WTskqxxduU7CpDbq7N3/9hblQSE3HPCBER//bAfRYREbBsOUye4nRrJFAtW27zzbfm+MH7LcLCFENE/M1FF0bwx5vN8b9H2SxarJsS8W2HD9v8+1Vznl57NbRvr9gj4muuHg4DB0BBATz5tM3+/Yot3qRk13Fs2+blf9usXw9168C/nrUID1ewEAkEzZpa/PFm835+7Q2b7TsUYMSzcnJsXnzZnFeXXmJmFIqIfxp5i8V5Q8yM4L89brN0mWKG+Cbbtnn5PzZ79podqEfeotgj4ossy+Lvj1q0jIOMPfDo321ychRbvEXJruN8ORF+ngahIfDs0xZNmihYiASS666Brl1Msfp/Pq/iw+JZY8bZbN8BDRvAPZoVLOLXXDclZ/WF3Fx45DElvMQ3ffsdzPgVQkPhH49b1Kyp+CPiqyIjLV56waJODKxZC888Z1NYqNjiDUp2HWPWHJs33zYn2r33WPTsoUAhEmhCQy3+8XeLqChIWQXvvq/gIp4xa7bNxK/M8SN/NQWuRcS/hYdbPPeMRZ/ekJMDf3nEZuo0xQ3xHevW27zxpjkn77jdonMnxR4RXxfXwuKF5y3Ca8CcuTD6bdUT9gYlu4qtSLZ55lkb24bLLjVF6UUkMDVtavHwQ+ZicPynMG26gotUzfYdNi+8ZM6j666Bs/roZkMkUEREWPzrnxYDz4X8fHj2eZt33ivSSLw4bs8em7/93SYvH/r1NbW6RMQ/dO1i8fhj5npx4iSzOkAJL89SsgvYtNnm0eJA0f9seOgBC8vSjYpIIDt/iMX115rjF16yWb1GwUUqJzvbbGpy+Ah06mhG1kUksEREWDz7dEnc+PBj+PNfbPbuVewQZxw9avPo46ZOV+tWZvliSIjij4g/GTLY4sEHzPv2k8+U8PK0oE927dlj85dHbA4fhs6d4Ol/aOcskWBxx+2mFkteHjz8qE1qmoKLVExhoc3Tz9qkpkK9WHjmKcUQkUAVEmJx950hPPmERa1aZmffW26zmfubYodUr8JCm+deKNlQ66UXLGrXVuwR8Uf/d0XphNdb/1XCy1OCOtl18KDNw4/aZGRAyzh46V8q6CgSTEJDLZ550qJDBzh0CB78i82WLQouUj62bfPaaJvf50N4OLzwvEWTxoohIoHugvMs3htn0TYBDhwwOzU+9WwRmQcUP8T7Cgtt/vWizazZUKMGPP9Pi+bNFHtE/NmxCa/Pv4R/vahNtDwhaJNdWVk2D/7VJjUN6teH/7xsUaeOAoVIsImMtPjPyxbt2sL+TLjnfi1plNOzbbOhydffmL8//jeLTh0VQ0SCRcs4i7FvW1x/HYSEwPQZcOPNNtOma0RevKew0OZfL9nuneOfesKiW1fFHpFA8H9XWDz2qEVoCPz0M/z9CZucHMWTqgjKZNeRIzYPPVI89bcuvPYfi6ZNFShEglVMbYtX/22RlAgHDsL9D9rMmavgImUrKrIZ/ZbNFxPM3x952GLIYMUQkWATEWFx9x0hjHvbIiHBxI9n/mnqwO7arRginlVQYGZ0/TzVJLqeecpi4ADFHpFAcvFQi389ZxERAb/Ph7vutdm5U/GksoIu2ZWdbZYurlkDMTEm0dWmtQKFSLCLrWsx+rWS7eUfe8JmzLgiTSGWUnJzbZ582ubLiebvDz9ocdkliiEiwax9e4t3x1jcNtKiRg34fR6MuNlm/Kc2+fmKIVJ12dk2jzx2zIyuJ5XoEglUZ/ezeO0/FnXrwoaNcNsdNkuWKpZURlAlu44eNaNtK1MgOhpG/duibYIChYgYkZEWL/3LYvj/mb+P/xQe+qt22xJj3z6b+/5sM7O4TsqTT1hc/gfFEBGBGjUsbrnJ4v13LLp1NYMmY8bZ/PE2m6XLFEOk8vbts7n3zzYLF0HNmqY+5OCBij0igaxLZ1MbMikRDh6CBx+2+ewLLZOvqKBJdmVl2Tz0V5tlyyEyEl59xSIpUYFCREoLC7P4830hPPOkRa2asHSZGaH/8ScFmGA2f4HNLbfZrF4DtWubwZILzlMMEZHS2rS2ePN1i8cfM6Pym7eYpfH/fL6IffsUQ6RiVqbY3HpHya6Lb4yy6HeWYo9IMGjcyOLt0RYXXQhFRWaXxkcfs7UZSgUERbJr//4iHnioZEbXq69YdOygQCEiJzdksMW7Yy06tIfDR+CFl2z+8ojNrl0KMMEkN9dm9NtFPPyoTWYmxLeBsW9ZdO+mGCIiZbMsi6EXWnz6scUVl4Nlwc/T4IabbCZ9bVNYqDgip2bbNhO/srn3AZu9e6F1Kxjzlu5fRIJNRITF43+zeOjPFuE1TB2vW0bazF+gOFIeAZ/s2rvX5uZbD7F+gylGP/o1i86dFChE5PRatbL475sWd91hAszCRXDDzTbvvl9EdraCTKBbvMTm5pE2X3xp/n7l5fDOGIuWLRVDROT0Ympb/OXPIYz7r1mKcvgIjHrd5va7tOuvnNzefabsymtv2BQWwuBBMO6/Fi1aKPaIBCPLsrjycot3xlq0bg379sPDj9o8+1wRmZmKJacS5nQDvGnDRhMsMjIKadjAFKNv1cr/AsXevXsd/f0FBQUcOHDA0Tb4M/Vf5TVo0MDpJhAWZnHDdXDO2fDyf2yWr4D/fQTf/2Bz+20w9EIIDfW/zxU5ucxMmzf/a3a8AqhfH/76kEX/s537fy5PHNBnzclVW98U5tEgNxeAvfv2Qmi4939nFfjyOeMLn/+e0qG9xbj/wrffw7h3zJK0O+62uewSmz/dZlGnjmKImNlc02fAq6/bHDpkakPe9SeLq4abm10nOXUv4sufUX6jOC7ZdpFfxCVv8+fYkhBv8e4YGPeuzcSvYOovMH+hzT13mfuRkBDFkuNZdjmL0GRmZnq7LR712+82T//T5uhRaN0qhJdftGnW1D9PgHr16jndBBFH7N+/n9jYWPP5U5BHxM9/ByD3wn9BWPUHa9u2mT0H3hpjs2OHeS4hAe6+w6L3mc5fjB7P3Xde+Lmn462Y4a3XBJCTY3ZZHP+pTXa2WXp05eVw+60W0dHO/t8qDviH8FB499IYAG77/hB5hQ43yI/t37/f0d/vrc+a/ftt3h5rM+Vn8/eoKLj2aourh0NUlG/FkLJUpl/KEzNOx5/uQyrTR+npNm/912bOb+bvie3giccs4uN945xQDPJfikulVTW2ePM6tCLWrLV56RWbjanm7wnx5nr17H6+dz9yMlXpy/LGlYCb2VVYaDP+U3jvA5uiIujVE0a/XoeiwoNON01E/JxlWQw4F87qC199A//70CY1Ff7yiE2XznD7rdCzh38EGClRUGBuPN/9wNRGAUhMhL/82aJTR/1/iojn1Ktn8cRjFhcPtXlttIkh731gM3ESXHctXHapWf4oweHgQZuPPzGzNAoKIDQUbr7R4qYRZma5iEhZOrS3eHcsfDkRPvrYJjUN/va4TaeOcPON0LePZnpBgCW79u2z+ee/bBYvMX+/7FJ46AGLOjEh+EACVkQCRHi4xbVXmynDH423+fobWJlidtzq2cPmtpEWXbsowFSFbdscOAjRUVCjhnf6MjfX5sef4NPPbHbtNs81bQK332Zx3mBdJIiI9/TobvHBO/DrLHjvfZut22DMOJv/fQQXXWBz+R8sEuL9Z4ReKmbXbpsvvrT5/kfIyTHP9ekN99xlEd9G/+cicnphYRbXXwuXXAyffW4zYRKsWg2PPGbTvJl5fshg/HZ1mycERLLLtcb99TfNblk1a5oR+aEXBe9/rIh4X506FvfdY3HdNTYfjbf57gdYugzuvs+m95k2N99o0a2rPocq4+l/ms91gNq1bVq3MlO0z+iVQ6tWNq1aVj4ZtWuXzU8/wzff2uwrns1eLxZuuN7iij+YZKaIiLeFhFgMGQQDzoFp0+HzL81Mr2++g2++s2ndGs4bDGefZZbMKwHv32zbJnklfPe9zS8zoLB4OVliO/jTbRZ9++j/V0QqLqa2xR23Wwy/0uazL2x+mAzbd8DYd2zGvgOdOtqc1deUXElKDK5aw35fs2tjqs3bY2wWLjJ/j28Dzz5t0fqYQvS+sra2spwuUF+3bl0Vh6wC9V/lNWjQwKdqdp3Ort02H35sM/mnkovYLp1hxPUW/c6q/hF6f67Z9d+xRXz2BRQVlf31qCjo0B46doBOHS06doTYumX3r23b7NwF8+bDnLk2S5aCK/I1bgzXX2txyTCzvbOvKk8c0GfNyVVb3xTm0eC3FwDYe/ZjPl8I2JfPGaeLCDtx7WjbZhOUSV/b/P475OWXfK1ODHTvDu2TLNq1NQmSevWq/zPLn2t2LVpss3CRTVSURb160KI5xLWABg08G5+P76PdGWbw5vsfbbZtK/m+nj3M9cGZZ/j+DD6n7kV8+TPKbxTHpfDwGuw482Gfj0veVtXY4g95haNHbab/CtN+sVm2vPS1dHQUJCWZ6+f27S3aJ0Gjhs58BlVHzS6/TXZtS7d57wMTPGwbwmvATTeaqXzHj8r7w0npy9R/VaP+qxp/Sna5bN9h88lnNj9Ngfzim5WEeLjhOotBA723LO94/pzsAigqsjl8GHZnwKbNsHGjzfoNYaSsKnAv+zhWs2bQri3UjoawGnD4MOzfD6mpcPBQ6e/t1RMuHlq9/x/eps+ak6u2vvGjzynQOXMqTvfN4cM2c+bCrzNtlq2Ao0dP/J7ataFpU2jWxDw2bWrRtCk0bGD+xMR4/gbGn5Nd199YxNZtJz4fHW1mO7RPgqQkc/PXtEnl+65u3bokr8xk7m8wc5bN6jUlX6tV0ywr+sNlFh3aB0bs8San34cBoTguhYeHkzXoaZ+PS77O387JffvMxheLF9ssXmqujY8XFQUtW0KrltC8mUWjRtC4kRkQbtTQe4PBKlB/nIICm/kL4KtvSmZyAQwZZHYfaNFCQUNEnNe8mcUjf7EYebPNFxNsvvkOUtPg2edtRr8Nl1xsc8kwi+bN9Jl1KiEhFjEx5oatXVu44DyL2Ng67Nmzn02bYNUaWL3a3Ehs3gI7duDeJfN4oSHQpQv07WMxeFBw1y8QEd8XHW0x9CIYepFFQYHNmrWwIhk2bLTZuBG2boOsLPNn/XrXvyo9fh1eA+o3sGnYwMxeMo9WyXF9aOjFGxlf87dHLObMtcnKgr37ID0ddu40N39Llpo/rj6MiYGkRNskwBJNAqxx4xMTYEVFpoRKahps2AjrN9ikpBxgd0bJ/4VlQdcuMPRCE38iI4Ojv0XEefXrW1x+GVx+mYklmzbDmrWwZo2JK5s2wZEjsGaN+XN8HAGoE2NTOwZiaptBluhoE19CQyEsrPRjaBiEWOZz79iPS8uy3J+FvXpW32egzye7Dh400+/m/m4zb17p0fl+Z8FtIy0S2yloiIjvadDA4p67LG4cYfPV16YGy9698PF4+Hi8TVKizaCBFgPPhebNfX8Zg68IC7No1w7atTPBGyAry2btOpP0ys6G/Hyb6GiLOnWgTWvzJ1hu6EQksISFWXTpbJbFg/kcO3rUZsdOk6wxj2a59s5dsG8vHDholkHuLP6eEifeyERH20RFmVlHNYv/hIdDp45w6x9DquMlVouuXU7cPCY/32bzZli7Dtaus1m3HjamwqFDsGix+ePqs8hI01eRkWAXwcGDcCirrOX2RdSoYW7qBg6wOLe/ueEUEXFSWJhZBt+uLVx2iflMysuz2b4DtmyBLVtNXdvdGZCRAbt2mw00Dh46cYVExZnP0egomPx99dWg9IlkV1GRzeEjsHcPbEs3o1Vbt9qsWs0J043r1oFhQ+EPl1o0b67AISK+L6a2xS03wYjrYe5v8O33pm7UuvWwbr3NmHFmmnCXLjadOlq0bgWtWplR9/IWkSwosMk+CtlH4PARM0pjWXnszrA5chiOZJsl38MucqbOi7fVrm3qnpx5huuZwHuNIiIutWqZ3RoT4l3PlP7My8uz2bsP9u6FPXtNAmzPXps9e81zrudzc83MprKWtixfDiOutwN6oKBGjZLBk0uPuflL22Ri9Np1NuvWmZlb2dnmz/EsC1q0oPgm0qL3mbVp3SoroPtNRAJDeLjlHhQ2Sj63bNvMhN2zt2QmcVaWiRcFhVBQYGoUFxTYxY/m70VF5p7DprhGrl3y9x7drWrdbKXakl2ZB2xeH22zZ48ZacrPM7VssrLMyEjhSYoQA7SMg7P6Qv+z1Q5YTgAAHdlJREFUzchWWJiCh4j4n7Awi4EDzEhvZqbNrDmmHsvyFZCxB6bPgOkzSkbdQ0IgprZNnTpmynBISMm04Nxck8DKPmIey6phBVknPFNQYBJvIiISuMLDLZo1hWZNj3229PWzbZu6iPv2m5pgx/4pKDSbPgVjwiY83CxbbJ9kBtcBcnNtdu2C7KMl9dPq1Cn+E1O69mNsbA0yM4Ov30QksFhWSTmR03xndTSnUqot2bV+Pfwy/dTfEx0FcXFmZ5QWLSySEs0U6ron2WFLRIJIaA3s2NbuY38XG1uyhv7oUVN3akWy2WF2yxZI325GRw4cNH/KKzzcfJZGRkGdOqHUjCgkKgqiIiE21szsEhEvCbDPKQlslmVRu7gGi5xaRIRFq1ZOt0KkEorjklWrpuKSBJ1qS3adeQa89h+LrCyoEW6KmtWoYWYr1K1jMobBOHokIuVkWeSddY/7OJDUqmXRq6fZIdA1OlJQYHPwoJn5euCgmTJsF08DLrKhZoTZPSUyEncyKzLy+NHlun61Y4yI3wvgzykREfFDxXEpMjYWDhxwujUi1arakl0hIRZn9Kqu3yYiASmIbh7Dwizq14f69Z1uiYhUSBB9TomIiB+wLG2CJEEpcLZYERERERERERGRoKdkl4iIiIiIiIiIBAwlu0REREREREREJGAo2SUiIiIiIiIiIgFDyS4REREREREREQkYSnaJiIiIiIiIiEjAULJLREREREREREQChpJdIiIiIiIiIiISMJTsEhERERERERGRgKFkl4iIiIiIiIiIBAwlu0REREREREREJGAo2SUiIiIiIiIiIgFDyS4REREREREREQkYSnaJiIiIiIiIiEjAULJLREREREREREQChpJdIiIiIiIiIiISMJTsEhERERERERGRgKFkl4iIiIiIiIiIBAwlu0REREREREREJGAo2SUiIiIiIiIiIgFDyS4REREREREREQkYSnaJiIiIiIiIiEjAULJLREREREREREQChpJdIiIiIiIiIiISMCzbtm2nG+FNWVlZLFmyhF69elG7dm2nm+N31H9Vo/6rGvVf5QVi3wXia/IU9c3JqW/Kpn45OfVN2dQvp6c+8hz1peeoLz1D/eg51dWXAT+z6/Dhw8yaNYvDhw873RS/pP6rGvVf1aj/Ki8Q+y4QX5OnqG9OTn1TNvXLyalvyqZ+OT31keeoLz1HfekZ6kfPqa6+DPhkl4iIiIiIiIiIBA8lu0REREREREREJGAEfLIrOjqaAQMGEB0d7XRT/JL6r2rUf1Wj/qu8QOy7QHxNnqK+OTn1TdnULyenvimb+uX01Eeeo770HPWlZ6gfPae6+jLgC9SLiIiIiIiIiEjwCPiZXSIiIiIiIiIiEjyU7BIRERERERERkYChZJeIiIiIiIiIiAQMJbtERERERERERCRgKNklIiIiIiIiIiIBI8zpBlRUUVERn376KZMmTSItLY3Q0FA6dOjAyJEjGTJkSLl+xuLFi/nll19YuHAh27dvJzs7m+bNmzNkyBDuuOMOYmJivPwqnOGJvjteXl4eV111FWvXrqVNmzZMmTLFw632HZ7sv8OHD/P+++8zdepUtm3bRo0aNYiLi2PIkCHce++9XnoFzvJU/x06dIgPPviAX375hfT0dMLDw2nRogVXXHEFV111FREREV58Fd737bffsmTJElJSUli/fj35+fm88MILXHnllWV+/+HDhxk9ejRTp05lz549NGrUiAsvvJB7772XqKioCv3uOXPmMHbsWFatWoVlWXTq1Im7776bs846q9KvJzc3l1dffZWUlBS2bNnCwYMHiYmJIS4ujquuuorLLruMGjVqlPvnVfS9k5yczOjRo1m2bBkFBQUkJiZyyy23MGzYsEq/Jk9xsm8GDx7M9u3by/w5vXv35uOPP67Sa6sKT/XLjTfeyMKFC0/5PS+99BKXX355qeeC4ZypTN/48jkDnn0/VSbO+Op542S/+Po5Ux6eeg05OTl89tlnfPfdd6Snp2PbNs2aNWPo0KGMGDGC2rVre7LZPslTfXnw4EHGjBnDL7/8ws6dO4mOjqZ3797cd999tGvXzpNN9nnTpk3j008/ZfXq1WRnZ9OwYUO6d+/OX//6V5o2bXraf19UVMQnn3zCl19+yZYtW4iMjKRfv348+OCDxMXFVcMr8A1V6cd9+/YxceJEVq1aRUpKivscX7duXXU03edUpS+9kaOxbNu2K/tiqptt2zzwwAP8/PPPtGzZknPPPZe8vDymT5/Ovn37+Mc//sGIESNO+3POPvtsMjMz6dWrFx06dMCyLBYuXMjq1auJi4vj888/p0GDBtXwiqqPp/rueKNGjeKjjz4iOzs7oJNdnuy/HTt2cPPNN7Nt2zb69etHhw4dyMvLY+vWrezYsYPvv//ey6+m+nmq/w4dOsSVV17Jtm3b6NWrF926dSMvL4/Zs2ezdetW+vbtywcffEBIiP9OWnVdDMbGxhIZGcn27dtPmuzKzs7m+uuvZ82aNfTv358OHTqwZs0a5s6dS5cuXfjkk0/Knfz79ttveeSRR6hXr5775mzy5MlkZmby2muvcdFFF1Xq9ezfv5+BAwfStWtXWrduTb169Th48CBz5sxh+/bt9O/fn3feeadc/2cVfe/Mnz+f2267jfDwcC6++GKioqKYOnUq27dv59FHH2XkyJGVek2e4mTfDB48mEOHDnHzzTef8LOaN29+0uRqdfBUv3z11Vdl3lgVFBQwduxYQkJC+PXXX2ncuLH7a8FyzlSmb3z5nAHP9U1l4owvnzdO9ouvnzPl4YnXkJ+fzw033MCKFSvo0KEDvXv3BmDBggWsXbuWdu3aMWHCBGrVquXx9vsST/RlZmYm1157LZs3b6ZHjx50796dPXv28PPPPxMWFsaHH35It27dvNF8n2LbNk899RRffPEFLVu2pH///kRFRZGRkcGiRYt45ZVXOOOMM077c5544gkmTJhAu3btGDBgABkZGfz0009ERUXxxRdf0Lp1a++/GAd5oh8XLFjATTfdhGVZtGrVit27d3P06NGgS3Z5oi+9kqOx/chPP/1kJyYm2tdee6199OhR9/P79u2zBw0aZHfu3Nnetm3baX/O2LFj7V27dpV6rqioyH7qqafsxMRE++mnn/Z4253mqb471ooVK+wOHTrY48ePtxMTE+0LL7zQ0832GZ7qv/z8fPvKK6+0u3btas+bN6/MrwciT/XfuHHj7MTERPv5558v9Xxubq595ZVX2omJifbChQs93v7q9Ntvv9np6em2bZvPqsTERHvSpEllfu/rr79uJyYm2q+88kqp51955RU7MTHRHjNmTLl+54EDB+wzzjjD7tOnj71z50738zt37rT79Olj9+nTx87KyqrU6yksLLRzc3NPeD4/P98eMWKEnZiYaP/666+n/TkVfe/k5+fb5513nt25c2d79erV7ucPHTpkX3DBBXanTp3c/ewUp/rGtm170KBB9qBBgyrVbm/zVL+czJQpU+zExET7jjvuOOHnB8s5czIn6xvb9u1zxrY91zcVjTO+ft441S+27fvnTHl44jX8+OOPdmJion3PPfec8LW77rrLTkxMtL/++usq/Q5/4Im+fOaZZ+zExET7hRdeKPX80qVL7Q4dOtjDhg2zCwsLq/Q7/MH//vc/9z1rQUHBCV8vz/3EvHnz7MTERPuGG24o9Rkxc+ZMOzEx0R45cqRH2+yLPNGPe/bssRcuXOi+Tr7wwgvtxMREj7fV13miL72Ro/Gr6Q/Tp08H4M4776RmzZru5+vVq8fNN99MXl4eX3311Wl/zp/+9KdSo5UAlmVx9913A7Bo0SIPtto3eKrvXHJzc3n00Ufp1asX119/vcfb62s81X8///wzKSkpjBw5kr59+57w9bAwv1tZXC6e6r9t27YBMGDAgFLPh4eH079/f8CMYvuzfv360bx589N+n23bTJgwgcjISPdnl8vdd99NZGQkEyZMKNfvnDJlCocOHWLEiBE0adLE/XyTJk0YMWIEmZmZ/PLLLxV7IcVCQkIIDw8/4fmwsDDOP/98ALZs2XLan1PR9878+fPZunUrl1xyCR06dHA/X7t2be68807y8/P5+uuvK/pyPMqpvvF1nuqXk5k4cSIAw4cPL/V8MJ0zJ3OyvvEHnuqbisYZXz9vnOoXKZGeng7Aueeee8LXBg4cCKjvymv69OmEhIRw3333lXq+R48eDBo0iI0bN552iba/y8nJ4a233iIuLo7HH3+c0NDQE76nPHHfdY34wAMPlPqMGDBgAL1792bu3Lns2LHDcw33MZ7qxwYNGnDmmWcSHR3tjWb6BU/1pTdyNH6V7Nq7dy8ALVq0OOFrrufmz59f6Z/v+k8o6z/I33m671599VV27tzJ888/j2VZnmmkD/NU/02ePBmAiy66iJ07d/LZZ58xbtw4fvrpJ44cOeLBFvsWT/VfYmIiALNmzSr1fF5eHr/99hs1a9ake/fuVWytf9i8eTMZGRn07NmTyMjIUl+LjIykZ8+ebNu2jZ07d572Z7kuDF03LMdyPefpi8eioiLmzJkDlPy/nkpF3zvleU2+OrDh7b5xcSWZx4wZw/jx41mxYoVnXoCXVLRfyrJr1y7mzp1Lw4YN3TeZLsF0zpTlVH3j4m/nDFS8byoaZ/z1vPF2vxz7dX87Z45X1dfgqiM1e/bsE742c+ZMLMuiT58+Hmmrr6tqX+7du5fY2Ngya5J64l7QH8ydO5eDBw9y3nnnUVRUxNSpUxk3bhyfffZZhQY7FixY4L5ePN4555wDeP7az5d4qh/F+31ZlRyNXw33xsbGAmaEJCEhodTXXKMmmzdvrvTPnzRpEmDWiwYaT/bdokWL+Oijj/jb3/5Gy5YtPdpOX+Wp/lu1ahVgCvC9+OKL5OXlub9Wr149XnvttYC84PFU/w0fPpzvv/+eDz/8kFWrVtG1a1fy8/OZNWsW2dnZjBo16oQRgUDlCh4nq6fQunVr5s6dy+bNm09bENLV961atTrha67nqhqs8vLyGDt2LLZtc+DAAebNm0daWhpXXnlluQrgV/S9c6rX1LBhQyIjI33mYqa6+8Zlz549PPbYY6We69KlC6+++qpPfLZXtV/KMmnSJIqKirjiiitOGGUMpnOmLKfqGxdfP2eg6n1T0TjjL+dNdfeLiz+cM6dT1dcwcOBAzjvvPKZNm8bll19eqmZXeno6//znP+nUqZNX2u5rqtqXsbGx7Nu3jyNHjpyQ8PLEvaA/cMX8kJAQLr300lKvNyQkhFtuuYVHH330lD8jOzubPXv2kJiYWGYCwVPXfr7ME/0ohrf7sio5Gr9Kdp177rn8+OOPjBs3jr59+7oLL2dmZvLhhx8CpoBmZaxZs4a33nqL+vXrc9ttt3mszb7CU32XnZ3NY489Rvfu3bnxxhu92mZf4qn+27dvHwDPP/88I0eOZMSIEYSHh/Pjjz/y0ksvcc899zB58mQaNWrkvRfjAE/1X82aNfnwww95+umn+frrr1m8eDFgMv0jRoygR48e3nsRPiYrKwvgpNOmXc8fPnz4tD/L9T1l7Qbl+jmu31dZ+fn5vPnmm+6/W5bFyJEj+ctf/lKuf1/R986pXhOY11XV1+Qp1d03AFdeeSW9evUiMTGRyMhINm/ezAcffMC3337LLbfcwnfffef4lPyq9svxbNt2L5cua5leMJ0zxztd34B/nDNQ9b6paJzxl/OmuvsF/OecORVPvAbLshg9ejSvvvoq7777LmvWrHF/7YorrqBfv37efhk+wRN9ec455/DVV1/x5ptvlrp5XrFiBTNnzgSqfr3i61wx/3//+x8dO3ZkwoQJJCQksGbNGv7xj3/w/vvvExcXd8oyM+W9hgzkvvREP4rhzb6sao7Gr5Jdl1xyCV999RULFizg0ksv5ZxzziE/P5/p06dTv359gErtwrZt2zb+9Kc/UVhYyKuvvkq9evU83XTHearvXnrpJTIyMsq9Q1ig8FT/2cWbnw4cOJCHH37Y/fyNN97Irl27ePfdd5k4ceIJNZj8naf6b//+/dx9993s37+fcePG0atXL44ePcr06dN56aWXmDlzJl999ZXPXzwHo6ioKNatW0dRUREZGRnMmDGDUaNGsXz5ct55553T/p8F8nvHib659957S/2MDh068PLLLwNmZ84JEybwxz/+0VMvsVKq2i/Hmz9/Punp6fTu3bvMWTj+xIm+8YdzBqreN4EaZ5zoF385Z07FE6/h6NGjPPTQQyQnJ/Pqq6+6Z9LNmzeP559/ntmzZ/Pll1+WWeohkHiiLx944AHmzJnD+++/z/Lly+nevTsZGRn8/PPPJCQksG7duoAvr+KK+TVq1OCtt95yz6g844wzeP311/nDH/7ABx98oCTNaagfPcdbfemJHI1fZSvCwsJ49913ue+++7Asiy+++IJp06YxZMgQ3njjDQD3jXN5bdu2jZtuuonMzEzeeOONMov7BgJP9N2CBQv4/PPPeeCBB2jTpk11NNtneOrcc10EDh48+ISvuZ5LSUnxYMt9g6f671//+hfLli3jjTfeYMCAAURHR9OwYUOuvfZa/vznP7NlyxY+/vhjb78cn+CaRXCymVuu58tzQ3aqEbzTzVqoqJCQEJo0acL111/Ps88+y9KlS/nvf/9b7jaW971zulHJw4cPe+w1eUp19c2pXHPNNQAsXbq0vM32usr2y/FOV3w9mM6Z41WlML0vnjNQ+b6paJzxt/OmuvrlVHz1nKmIiryGMWPGMGPGDJ599lmGDRtGbGwssbGxDBs2jGeeeYZ9+/YxZswYbzfZZ1WkL5s0acKkSZMYPnw46enpfPzxx6xYsYL777+fO++8E6j4vaC/cX3mdO7c+YSlw4mJicTFxbF169ZTrpgo7zWkL312eZon+lEMb/Slp3I0fjWzC8yuL/fee+8JowMLFiwATCeXl6sT9+zZw2uvvcagQYM82lZfU9W+c027fvnll90jMcfatGkTSUlJ1K5d2z29PZB44txr06YNmZmZxMTEnPA113O5ubkeaK3v8UT/zZkzh7p169K+ffsTvuaqSXTs8oBA5pp9cbLaFK7nT1bT61itW7cmJSWFLVu2uOurubjqNXhjJkxFit9X9L3jet1btmw54dzas2cP2dnZdO3atbJN9zpv9s2puP7/s7Ozy9vUalXZDRMOHjzItGnTiImJ4aKLLirze4LpnDlWefrmVHz9nIGK9U1F44w/nzfe7JdT8Ydz5nQq8hpcGwGUVTvRdQO3evVqD7bOv1T0fGjcuDHPP//8Cc+PHj0aqNi9oD+Kj48HTp6Icj2fk5NT5nUBmI2MGjZsSHp6OoWFhSfU7fLmtZ+v8EQ/iuHpvvRkjsavZnadyvfffw/AsGHDyvX9x3biqFGjOO+887zZPJ9W3r5LTExk+PDhZf4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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "earth_posterior = -2 * planet_fit.posterior[\"I(Time ** 2):Planet\"].sel({\"I(Time ** 2):Planet_dim\": \"Earth\"})\n", + "planetx_posterior = -2 * planet_fit.posterior[\"I(Time ** 2):Planet\"].sel({\"I(Time ** 2):Planet_dim\": \"PlanetX\"})\n", + "mars_posterior = -2 * planet_fit.posterior[\"I(Time ** 2):Planet\"].sel({\"I(Time ** 2):Planet_dim\": \"Mars\"}) \n", + "\n", + "fig, axs = plt.subplots(1, 3, figsize=(12, 6))\n", + "az.plot_posterior(earth_posterior, ref_val=9.81, ax=axs[0])\n", + "axs[0].set_title(\"Posterior $g$ on Earth\")\n", + "az.plot_posterior(mars_posterior, ref_val=3.72, ax=axs[1])\n", + "axs[1].set_title(\"Posterior $g$ on Mars\")\n", + "az.plot_posterior(planetx_posterior, ref_val=6.0, ax=axs[2])\n", + "axs[2].set_title(\"Posterior $g$ on PlanetX\")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The fit seems to work, more or less, but certainly could be improved.\n", + "\n", + "### Adding a prior\n", + "\n", + "But, we can do better! We have a [very good idea of the acceleration due to gravity on Earth](https://en.wikipedia.org/wiki/Gravity_of_Earth) and [Mars](https://en.wikipedia.org/wiki/Gravity_of_Mars), so why not use that information? From an experimental standpoint, we can consider these throws from a calibration mindset, allowing us to get some information on the resolution of our detector, and our throwing apparatus. The model will spend considerably less time trying pin down those parameters, and will better explore other parameters with already good values of the $g$ terms locked in.\n", + "\n", + "For Earth, at the extremes, $g$ takes values as low as 9.78 $m$/$s^2$ (at the Equator) up to 9.83 (at the Poles). So we can add a very strong prior,\n", + "\n", + "$$\n", + "g_{\\text{Earth}} \\sim \\text{Normal}(-9.81, 0.025)\n", + "$$\n", + "\n", + "For Mars, we know the mean value is about 3.72 $m$/$s^2$. There's less information on local variation readily available by a cursory search, _however_ we know that the radius of Mars is about half that of Earth, so $\\sigma = \\frac{0.025}{2} = 0.0125$ might make sense, but to be conservative we'll round that up to $\\sigma = 0.02$.\n", + "\n", + "$$\n", + "g_{\\text{Mars}} \\sim \\text{Normal}(-3.72, 0.02)\n", + "$$\n", + "\n", + "For PlanetX, we must use a very loose prior. We might say that we know the ball took longer to fall than Earth, but not as long as on Mars, so we can split the difference. Then set a very wide $\\sigma$ value.\n", + "\n", + "$$\n", + "g_{\\text{PlanetX}} \\sim \\text{Normal}(\\frac{-9.81 - 3.72}{2}, 3) = \\text{Normal}(-6.77, 3)\n", + "$$\n", + "\n", + "Since these correspond to $g/2$, we'll divide all values by 2 when putting them into Bambi. Additionally, we know the balls landed eventually, so $g$ _must be_ negative. We'll truncate the upper limit of the distribution at 0.\n", + "\n", + "Now, for defining this in Bambi, the term of interest is `I(Time ** 2):Planet`. Often, you set one prior that applies to all groups, however, if you want to set each group individually, you can pass a list to the `bmb.Prior` definition. [The broadcasting rules from PyMC apply here](https://github.com/bambinos/bambi/issues/778), so it could equivalently take a numpy array. You'll notice that the priors are passed alphabetically by group name." + ] + }, + { + "cell_type": "code", + "execution_count": 34, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Sampling: [Height, Height_sigma, I(Time ** 2):Planet, Time]\n" + ] + }, + { + "data": { + "text/html": [ + "
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" + ], + "text/plain": [ + " mean sd hdi_3% hdi_97%\n", + "Time -0.529 14.221 -27.698 24.652\n", + "Height_sigma 14.299 12.577 0.011 36.746\n", + "I(Time ** 2):Planet[Earth] -4.905 0.012 -4.927 -4.883\n", + "I(Time ** 2):Planet[Mars] -1.860 0.011 -1.879 -1.839\n", + "I(Time ** 2):Planet[PlanetX] -3.467 1.390 -5.727 -0.549" + ] + }, + "execution_count": 34, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "\n", + "priors = {\n", + " \"I(Time ** 2):Planet\": bmb.Prior(\n", + " 'TruncatedNormal',\n", + " mu=[\n", + " -9.81/2, # Earth\n", + " -3.72/2, # Mars\n", + " -6.77/2 # PlanetX\n", + " ],\n", + " sigma=[ \n", + " 0.025/2, # Earth \n", + " 0.02/2, # Mars\n", + " 3/2 # PlanetX\n", + " ],\n", + " upper=[0, 0, 0]\n", + " )} \n", + "\n", + "planet_model_with_prior = bmb.Model(\n", + " 'Height ~ I(Time**2):Planet + Time + 0',\n", + " df,\n", + " priors=priors\n", + ")\n", + "\n", + "planet_model_with_prior.build()\n", + "idata = planet_model_with_prior.prior_predictive()\n", + "az.summary(idata.prior, kind=\"stats\")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Here we've sampled the prior predictive and can see that our priors are correctly specified to the associated planets.\n", + "\n", + "Next we fit the model." + ] + }, + { + "cell_type": "code", + "execution_count": 35, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Auto-assigning NUTS sampler...\n", + "Initializing NUTS using jitter+adapt_diag...\n", + "Multiprocess sampling (4 chains in 4 jobs)\n", + "NUTS: [Height_sigma, I(Time ** 2):Planet, Time]\n" + ] + }, + { + "data": { + "text/html": [ + "\n", + "\n" + ], + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/html": [ + "\n", + "
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meansdhdi_3%hdi_97%mcse_meanmcse_sdess_bulkess_tailr_hat
Time20.1010.07019.97520.2400.0020.0012051.02199.01.0
Height_sigma1.5010.1221.2721.7280.0020.0023688.02731.01.0
I(Time ** 2):Planet[Earth]-4.8980.012-4.921-4.8740.0000.0003531.02470.01.0
I(Time ** 2):Planet[Mars]-1.8670.008-1.883-1.8510.0000.0002279.02408.01.0
I(Time ** 2):Planet[PlanetX]-3.0050.020-3.042-2.9670.0000.0002170.02541.01.0
\n", + "
" + ], + "text/plain": [ + " mean sd hdi_3% hdi_97% mcse_mean \\\n", + "Time 20.101 0.070 19.975 20.240 0.002 \n", + "Height_sigma 1.501 0.122 1.272 1.728 0.002 \n", + "I(Time ** 2):Planet[Earth] -4.898 0.012 -4.921 -4.874 0.000 \n", + "I(Time ** 2):Planet[Mars] -1.867 0.008 -1.883 -1.851 0.000 \n", + "I(Time ** 2):Planet[PlanetX] -3.005 0.020 -3.042 -2.967 0.000 \n", + "\n", + " mcse_sd ess_bulk ess_tail r_hat \n", + "Time 0.001 2051.0 2199.0 1.0 \n", + "Height_sigma 0.002 3688.0 2731.0 1.0 \n", + "I(Time ** 2):Planet[Earth] 0.000 3531.0 2470.0 1.0 \n", + "I(Time ** 2):Planet[Mars] 0.000 2279.0 2408.0 1.0 \n", + "I(Time ** 2):Planet[PlanetX] 0.000 2170.0 2541.0 1.0 " + ] + }, + "execution_count": 35, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "planet_fit_with_prior = planet_model_with_prior.fit(idata_kwargs={\"log_likelihood\": True}, random_seed=SEED)\n", + "az.summary(planet_fit_with_prior)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We see some improvements here! Off the cuff, these look better, you'll notice the $v_0$ coefficient on `Time` covers the true value of 20 m/s.\n", + "\n", + "Now taking a look at the effects before and after adding the prior on the gravities," + ] + }, + { + "cell_type": "code", + "execution_count": 36, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "earth_posterior_2 = -2 * planet_fit_with_prior.posterior[\"I(Time ** 2):Planet\"].sel({\"I(Time ** 2):Planet_dim\": \"Earth\"})\n", + "mars_posterior_2 = -2 * planet_fit_with_prior.posterior[\"I(Time ** 2):Planet\"].sel({\"I(Time ** 2):Planet_dim\": \"Mars\"})\n", + "planetx_posterior_2 = -2 * planet_fit_with_prior.posterior[\"I(Time ** 2):Planet\"].sel({\"I(Time ** 2):Planet_dim\": \"PlanetX\"})\n", + "\n", + "fig, axs = plt.subplots(2, 3, figsize=(12, 6), sharex='col')\n", + "az.plot_posterior(earth_posterior, ref_val=9.81, ax=axs[0,0])\n", + "axs[0,0].set_title(\"Earth $g$ - No Prior\")\n", + "az.plot_posterior(mars_posterior, ref_val=3.72, ax=axs[0,1])\n", + "axs[0,1].set_title(\"Mars $g$ - No Prior\")\n", + "az.plot_posterior(planetx_posterior, ref_val=6.0, ax=axs[0,2])\n", + "axs[0,2].set_title(\"PlanetX $g$ - No Prior\")\n", + "\n", + "\n", + "az.plot_posterior(earth_posterior_2, ref_val=9.81, ax=axs[1,0])\n", + "axs[1,0].set_title(\"Earth $g$ - Priors Used\")\n", + "az.plot_posterior(mars_posterior_2, ref_val=3.72, ax=axs[1,1])\n", + "axs[1,1].set_title(\"Mars $g$ - Priors Used\")\n", + "az.plot_posterior(planetx_posterior_2, ref_val=6.0, ax=axs[1,2])\n", + "axs[1,2].set_title(\"PlanetX $g$ - Priors Used\");\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Adding the prior gives smaller uncertainties for Earth and Mars by design, however, we can see the estimate for PlanetX has also considerably improved by injecting our knowledge into the model.\n", + "\n", + "### Adding some complications\n", + "\n", + "Careful! It's dangerous to go alone. After your stellar (excuse the pun) initial research, you've been funded to bring along a full research team to PlanetX. Unlike before, $v_0$ is not a fixed value. Instead, each astronaut has their own mean value, and throws are drawn from a distribution around them.\n", + "\n", + "Since you are a team, you can stay on the planet long enough for each of you to have 5 throws on each planet. " + ] + }, + { + "cell_type": "code", + "execution_count": 37, + "metadata": {}, + "outputs": [], + "source": [ + "def simulate_throw(v0, g, noise_std, time_step=0.25, max_time=10):\n", + " \"\"\"\n", + " Simulate the throw of a ball with varying astronaut strengths and ball noise.\n", + " \"\"\"\n", + " times = np.arange(0, max_time, time_step)\n", + " heights = v0 * times - 0.5 * g * times**2\n", + " heights_with_noise = heights + np.random.normal(0, noise_std, len(times))\n", + " valid_indices = heights_with_noise >= 0\n", + " return times[valid_indices], heights_with_noise[valid_indices], heights[valid_indices]\n", + "\n", + "# Define astronauts' strengths\n", + "np.random.seed(1234)\n", + "population_mean = 17 # m/s\n", + "population_sd = 2\n", + "individual_sd = 1\n", + "astronaut_names = [\"You\", \"Kirk\", \"Leia\", \"Spock\", \"Scotty\", \"Luke\"]\n", + "astronauts = {n: np.random.normal(population_mean, population_sd) for n in astronaut_names}\n", + "\n", + "# Define planets' gravitational acceleration\n", + "g_planets = {'Earth': 9.81, 'Mars': 3.72, 'PlanetX': 6.0}\n", + "\n", + "# Define ball noise\n", + "noise_std = 2.5\n", + "\n", + "# Generate data\n", + "records = []\n", + "throws_per_astronaut = 5 # Number of throws per astronaut\n", + "throw_id = 0 # Unique identifier for each throw\n", + "\n", + "for astronaut_name, astronaut_strength in astronauts.items():\n", + " for i in range(throws_per_astronaut): # Iterate over the number of throws\n", + " v0 = np.random.normal(astronaut_strength, individual_sd) # Sample initial velocity for each throw\n", + " for planet, g in g_planets.items():\n", + " times, heights, heights_true = simulate_throw(v0, g, noise_std)\n", + " for time, height, height_true in zip(times, heights, heights_true):\n", + " records.append([throw_id, astronaut_name, planet, time, height, height_true])\n", + " # Increment throw_id for the next record\n", + " throw_id += 1 \n", + "\n", + "# Convert to DataFrame\n", + "df = pd.DataFrame(records, columns=['Throw_ID', 'Astronaut', 'Planet', 'Time', 'Height', \"Height_true\"])\n", + "df[\"Planet\"] = df[\"Planet\"].astype('category')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Due to the differing strengths, the trajectories look different per astronaut." + ] + }, + { + "cell_type": "code", + "execution_count": 38, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/Users/tburch/Documents/git_repos/bambi/bambi_dev_env/lib/python3.11/site-packages/seaborn/axisgrid.py:123: UserWarning: The figure layout has changed to tight\n", + " self._figure.tight_layout(*args, **kwargs)\n" + ] + }, + { + "data": { + "image/png": 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+ "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "throws_to_show = df.groupby(['Astronaut', 'Planet'], observed=False).head(1).Throw_ID.values\n", + "df_show = df[df.Throw_ID.isin(throws_to_show)]\n", + "\n", + "\n", + "g = sns.FacetGrid(df_show, col=\"Planet\", hue=\"Astronaut\", height=5, aspect=1.5)\n", + "g.map(plt.scatter, \"Time\", \"Height\", alpha=0.7)\n", + "g.map(plt.plot, \"Time\", \"Height_true\", alpha=0.7)\n", + "g.add_legend()\n", + "\n", + "g.set_titles(\"Trajectory on {col_name}\")\n", + "g.set_axis_labels(\"Time (seconds)\", \"Height (meters)\")\n", + "g.set(ylim=(0));" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Our model is as follows:\n", + "\n", + "$$\n", + "\\text{Height}_{ij} \\sim \\text{Normal}(\\mu_{ij}, \\sigma)\n", + "$$\n", + "\n", + "$$\n", + "\\mu_{ij} = \\beta_{\\text{planet,}i} \\cdot \\text{Time}_{ij}^2 + \\beta_{\\text{astronaut,}j} \\cdot \\text{Time}_{ij}\n", + "$$\n", + "\n", + "Letting the astronaut effect be hierarchical, their strengths are drawn from a normal distribution with population parameters $\\mu_{\\text{pop}}$ and $\\sigma_{\\text{pop}}$\n", + "\n", + "$$\n", + "\\beta_{\\text{astronaut,}j} \\sim \\text{Normal}(\\mu_{\\text{pop}}, \\sigma_{\\text{pop}})\n", + "$$\n", + "\n", + "\n", + "\n", + "We will again start without specifying priors and later add them to see the effect." + ] + }, + { + "cell_type": "code", + "execution_count": 39, + "metadata": {}, + "outputs": [ + { + "data": { + "image/svg+xml": [ + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "clusterI(Time ** 2):Planet_dim (3)\n", + "\n", + "I(Time ** 2):Planet_dim (3)\n", + "\n", + "\n", + "clusterAstronaut__factor_dim (6)\n", + "\n", + "Astronaut__factor_dim (6)\n", + "\n", + "\n", + "clusterHeight_obs (2192)\n", + "\n", + "Height_obs (2192)\n", + "\n", + "\n", + "\n", + "Height_sigma\n", + "\n", + "Height_sigma\n", + "~\n", + "HalfStudentT\n", + "\n", + "\n", + "\n", + "Height\n", + "\n", + "Height\n", + "~\n", + "Normal\n", + "\n", + "\n", + "\n", + "Height_sigma->Height\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "Time|Astronaut_sigma\n", + "\n", + "Time|Astronaut_sigma\n", + "~\n", + "HalfNormal\n", + "\n", + "\n", + "\n", + "Time|Astronaut\n", + "\n", + "Time|Astronaut\n", + "~\n", + "Normal\n", + "\n", + "\n", + "\n", + "Time|Astronaut_sigma->Time|Astronaut\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "I(Time ** 2)&Planet\n", + "\n", + "I(Time ** 2):Planet\n", + "~\n", + "Normal\n", + "\n", + "\n", + "\n", + "I(Time ** 2)&Planet->Height\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "Time|Astronaut->Height\n", + "\n", + "\n", + "\n", + "\n", + "\n" + ], + "text/plain": [ + "" + ] + }, + "execution_count": 39, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "measurement_mod_hier = bmb.Model(\n", + " formula='Height ~ I(Time**2):Planet + (0 + Time|Astronaut) + 0',\n", + " data=df,\n", + " noncentered=False\n", + ")\n", + "measurement_mod_hier.build()\n", + "measurement_mod_hier.graph()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We will fit this model and look how it does, quickly creating a new column for the mean value for $g$ in the summary table." + ] + }, + { + "cell_type": "code", + "execution_count": 40, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Auto-assigning NUTS sampler...\n", + "Initializing NUTS using jitter+adapt_diag...\n", + "Multiprocess sampling (4 chains in 4 jobs)\n", + "NUTS: [Height_sigma, I(Time ** 2):Planet, Time|Astronaut_sigma, Time|Astronaut]\n" + ] + }, + { + "data": { + "text/html": [ + "\n", + "\n" + ], + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/html": [ + "\n", + "
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meansdhdi_3%hdi_97%mcse_meanmcse_sdess_bulkess_tailr_hatg_mean
I(Time ** 2):Planet[Earth]-4.6540.046-4.739-4.5680.0010.0011487.02663.01.09.308
I(Time ** 2):Planet[Mars]-1.7840.012-1.806-1.7610.0000.000812.01082.01.03.568
I(Time ** 2):Planet[PlanetX]-2.8470.021-2.886-2.8080.0010.000908.01453.01.05.694
Time|Astronaut[Kirk]14.4330.09614.25614.6140.0030.0021078.01911.01.0NaN
Time|Astronaut[Leia]18.9390.09818.74819.1200.0030.002916.01465.01.0NaN
Time|Astronaut[Luke]17.8980.09817.71318.0790.0030.002909.01564.01.0NaN
Time|Astronaut[Scotty]15.4720.09715.28915.6510.0030.0021125.01733.01.0NaN
Time|Astronaut[Spock]16.4700.09516.28916.6470.0030.002992.01790.01.0NaN
Time|Astronaut[You]17.3190.09617.14317.5020.0030.002939.01559.01.0NaN
Height_sigma4.2940.0664.1744.4240.0010.0013304.02909.01.0NaN
Time|Astronaut_sigma17.2774.4599.72025.2910.0830.0613262.02985.01.0NaN
\n", + "
" + ], + "text/plain": [ + " mean sd hdi_3% hdi_97% mcse_mean \\\n", + "I(Time ** 2):Planet[Earth] -4.654 0.046 -4.739 -4.568 0.001 \n", + "I(Time ** 2):Planet[Mars] -1.784 0.012 -1.806 -1.761 0.000 \n", + "I(Time ** 2):Planet[PlanetX] -2.847 0.021 -2.886 -2.808 0.001 \n", + "Time|Astronaut[Kirk] 14.433 0.096 14.256 14.614 0.003 \n", + "Time|Astronaut[Leia] 18.939 0.098 18.748 19.120 0.003 \n", + "Time|Astronaut[Luke] 17.898 0.098 17.713 18.079 0.003 \n", + "Time|Astronaut[Scotty] 15.472 0.097 15.289 15.651 0.003 \n", + "Time|Astronaut[Spock] 16.470 0.095 16.289 16.647 0.003 \n", + "Time|Astronaut[You] 17.319 0.096 17.143 17.502 0.003 \n", + "Height_sigma 4.294 0.066 4.174 4.424 0.001 \n", + "Time|Astronaut_sigma 17.277 4.459 9.720 25.291 0.083 \n", + "\n", + " mcse_sd ess_bulk ess_tail r_hat g_mean \n", + "I(Time ** 2):Planet[Earth] 0.001 1487.0 2663.0 1.0 9.308 \n", + "I(Time ** 2):Planet[Mars] 0.000 812.0 1082.0 1.0 3.568 \n", + "I(Time ** 2):Planet[PlanetX] 0.000 908.0 1453.0 1.0 5.694 \n", + "Time|Astronaut[Kirk] 0.002 1078.0 1911.0 1.0 NaN \n", + "Time|Astronaut[Leia] 0.002 916.0 1465.0 1.0 NaN \n", + "Time|Astronaut[Luke] 0.002 909.0 1564.0 1.0 NaN \n", + "Time|Astronaut[Scotty] 0.002 1125.0 1733.0 1.0 NaN \n", + "Time|Astronaut[Spock] 0.002 992.0 1790.0 1.0 NaN \n", + "Time|Astronaut[You] 0.002 939.0 1559.0 1.0 NaN \n", + "Height_sigma 0.001 3304.0 2909.0 1.0 NaN \n", + "Time|Astronaut_sigma 0.061 3262.0 2985.0 1.0 NaN " + ] + }, + "execution_count": 40, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "measurement_fit_hier = measurement_mod_hier.fit(\n", + " idata_kwargs={\"log_likelihood\": True}, random_seed=SEED\n", + ")\n", + "\n", + "hier_summary = az.summary(measurement_fit_hier)\n", + "g_mean = -2 * hier_summary[\"mean\"]\n", + "hier_summary[\"g_mean\"] = np.append(g_mean[0:3], np.repeat(np.nan, len(g_mean)-3))\n", + "hier_summary" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "It appears like the acceleration due to gravity is substantially underpredicted. Visualizing," + ] + }, + { + "cell_type": "code", + "execution_count": 41, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "earth_posterior = -2 * measurement_fit_hier.posterior[\"I(Time ** 2):Planet\"].sel({\"I(Time ** 2):Planet_dim\": \"Earth\"})\n", + "planetx_posterior = -2 * measurement_fit_hier.posterior[\"I(Time ** 2):Planet\"].sel({\"I(Time ** 2):Planet_dim\": \"PlanetX\"})\n", + "mars_posterior = -2 * measurement_fit_hier.posterior[\"I(Time ** 2):Planet\"].sel({\"I(Time ** 2):Planet_dim\": \"Mars\"}) \n", + "\n", + "fig, axs = plt.subplots(1, 3, figsize=(12, 6))\n", + "az.plot_posterior(earth_posterior, ref_val=9.81, ax=axs[0])\n", + "axs[0].set_title(\"Posterior $g$ on Earth\")\n", + "az.plot_posterior(mars_posterior, ref_val=3.72, ax=axs[1])\n", + "axs[1].set_title(\"Posterior $g$ on Mars\")\n", + "az.plot_posterior(planetx_posterior, ref_val=6.0, ax=axs[2])\n", + "axs[2].set_title(\"Posterior $g$ on PlanetX\");" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Next, we consider adding priors. For the planet priors we use the same as before\n", + "\n", + "$$\n", + "\\beta_{\\text{planet,Earth}} \\sim \\text{Normal}(\\frac{-9.81}{2}, \\frac{0.025}{2})\n", + "$$\n", + "\n", + "$$\n", + "\\beta_{\\text{planet,Mars}} \\sim \\text{Normal}(\\frac{-3.72}{2}, \\frac{0.02}{2})\n", + "$$\n", + "\n", + "$$\n", + "\\beta_{\\text{planet,PlanetX}} \\sim \\text{Normal}(\\frac{-6.77}{2}, \\frac{3}{2})\n", + "$$\n", + "\n", + "And for astonauts,\n", + "\n", + "$$\n", + "\\beta_{\\text{astonaut,}i} \\sim \\text{Normal}(\\mu_{ij}, \\sigma)\n", + "$$\n", + "\n", + "$$\n", + "\\mu_i \\sim \\text{Normal(17, 4)}\n", + "$$\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": 42, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Auto-assigning NUTS sampler...\n", + "Initializing NUTS using jitter+adapt_diag...\n", + "Multiprocess sampling (4 chains in 4 jobs)\n", + "NUTS: [Height_sigma, I(Time ** 2):Planet, Time|Astronaut_sigma, Time|Astronaut]\n" + ] + }, + { + "data": { + "text/html": [ + "\n", + "\n" + ], + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/html": [ + "\n", + "
\n", + " \n", + " 100.00% [8000/8000 00:03<00:00 Sampling 4 chains, 0 divergences]\n", + "
\n", + " " + ], + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Sampling 4 chains for 1_000 tune and 1_000 draw iterations (4_000 + 4_000 draws total) took 4 seconds.\n" + ] + } + ], + "source": [ + "priors = {\n", + " \"I(Time ** 2):Planet\": bmb.Prior(\n", + " 'Normal',\n", + " mu=[\n", + " -9.81/2, # Earth\n", + " -3.72/2, # Mars\n", + " -6.0/2 # PlanetX\n", + " ],\n", + " sigma=[ \n", + " 0.025/2, # Earth \n", + " 0.02/2, # Mars\n", + " 4 # PlanetX\n", + " ]\n", + " ),\n", + " # This doesn't work.\n", + " #\"Time|Astronaut\": bmb.Prior(\n", + " # 'Normal',\n", + " # mu=17,\n", + " # sigma=4\n", + " #)\n", + "}\n", + "measurement_mod_hier_prior = bmb.Model(\n", + " formula='Height ~ I(Time**2):Planet + (0 + Time|Astronaut) + 0',\n", + " data=df,\n", + " priors =priors,\n", + " noncentered=False\n", + ")\n", + "measurement_fit_hier_prior = measurement_mod_hier_prior.fit(idata_kwargs={\"log_likelihood\": True}, target_accept=0.95, random_seed=SEED)\n" + ] + }, + { + "cell_type": "code", + "execution_count": 43, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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meansdhdi_3%hdi_97%mcse_meanmcse_sdess_bulkess_tailr_hat
I(Time ** 2):Planet[Earth]-4.8920.012-4.916-4.8710.0000.0003465.02718.01.0
I(Time ** 2):Planet[Mars]-1.8400.007-1.852-1.8260.0000.0001465.02139.01.0
I(Time ** 2):Planet[PlanetX]-2.9310.015-2.961-2.9050.0000.0001916.02565.01.0
Time|Astronaut[Kirk]14.7750.07714.62514.9170.0010.0012936.02643.01.0
Time|Astronaut[Leia]19.3680.06719.25419.5040.0020.0011903.02459.01.0
Time|Astronaut[Luke]18.3120.06718.18218.4310.0020.0011903.02530.01.0
Time|Astronaut[Scotty]15.8380.07115.70615.9670.0010.0012428.02434.01.0
Time|Astronaut[Spock]16.8590.06816.72916.9860.0010.0012313.02853.01.0
Time|Astronaut[You]17.7260.06817.59817.8500.0020.0012024.02553.01.0
Height_sigma4.3210.0654.1944.4390.0010.0013957.02437.01.0
Time|Astronaut_sigma17.7024.5179.59225.4460.0770.0583973.02654.01.0
\n", + "
" + ], + "text/plain": [ + " mean sd hdi_3% hdi_97% mcse_mean \\\n", + "I(Time ** 2):Planet[Earth] -4.892 0.012 -4.916 -4.871 0.000 \n", + "I(Time ** 2):Planet[Mars] -1.840 0.007 -1.852 -1.826 0.000 \n", + "I(Time ** 2):Planet[PlanetX] -2.931 0.015 -2.961 -2.905 0.000 \n", + "Time|Astronaut[Kirk] 14.775 0.077 14.625 14.917 0.001 \n", + "Time|Astronaut[Leia] 19.368 0.067 19.254 19.504 0.002 \n", + "Time|Astronaut[Luke] 18.312 0.067 18.182 18.431 0.002 \n", + "Time|Astronaut[Scotty] 15.838 0.071 15.706 15.967 0.001 \n", + "Time|Astronaut[Spock] 16.859 0.068 16.729 16.986 0.001 \n", + "Time|Astronaut[You] 17.726 0.068 17.598 17.850 0.002 \n", + "Height_sigma 4.321 0.065 4.194 4.439 0.001 \n", + "Time|Astronaut_sigma 17.702 4.517 9.592 25.446 0.077 \n", + "\n", + " mcse_sd ess_bulk ess_tail r_hat \n", + "I(Time ** 2):Planet[Earth] 0.000 3465.0 2718.0 1.0 \n", + "I(Time ** 2):Planet[Mars] 0.000 1465.0 2139.0 1.0 \n", + "I(Time ** 2):Planet[PlanetX] 0.000 1916.0 2565.0 1.0 \n", + "Time|Astronaut[Kirk] 0.001 2936.0 2643.0 1.0 \n", + "Time|Astronaut[Leia] 0.001 1903.0 2459.0 1.0 \n", + "Time|Astronaut[Luke] 0.001 1903.0 2530.0 1.0 \n", + "Time|Astronaut[Scotty] 0.001 2428.0 2434.0 1.0 \n", + "Time|Astronaut[Spock] 0.001 2313.0 2853.0 1.0 \n", + "Time|Astronaut[You] 0.001 2024.0 2553.0 1.0 \n", + "Height_sigma 0.001 3957.0 2437.0 1.0 \n", + "Time|Astronaut_sigma 0.058 3973.0 2654.0 1.0 " + ] + }, + "execution_count": 43, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "az.summary(measurement_fit_hier_prior)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Comparing the two," + ] + }, + { + "cell_type": "code", + "execution_count": 44, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/Users/tburch/Documents/git_repos/bambi/bambi_dev_env/lib/python3.11/site-packages/arviz/stats/stats.py:309: FutureWarning: Setting an item of incompatible dtype is deprecated and will raise an error in a future version of pandas. Value 'False' has dtype incompatible with float64, please explicitly cast to a compatible dtype first.\n", + " df_comp.loc[val] = (\n", + "/Users/tburch/Documents/git_repos/bambi/bambi_dev_env/lib/python3.11/site-packages/arviz/stats/stats.py:309: FutureWarning: Setting an item of incompatible dtype is deprecated and will raise an error in a future version of pandas. Value 'log' has dtype incompatible with float64, please explicitly cast to a compatible dtype first.\n", + " df_comp.loc[val] = (\n" + ] + }, + { + "data": { + "text/html": [ + "
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rankelpd_loop_looelpd_diffweightsedsewarningscale
No Priors0-6311.41629415.7463850.0000000.89565237.6602180.000000Falselog
Added prior1-6324.97782214.17336313.5615270.10434837.3709685.883864Falselog
\n", + "
" + ], + "text/plain": [ + " rank elpd_loo p_loo elpd_diff weight se \\\n", + "No Priors 0 -6311.416294 15.746385 0.000000 0.895652 37.660218 \n", + "Added prior 1 -6324.977822 14.173363 13.561527 0.104348 37.370968 \n", + "\n", + " dse warning scale \n", + "No Priors 0.000000 False log \n", + "Added prior 5.883864 False log " + ] + }, + "execution_count": 44, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "az.compare({\"No Priors\": measurement_fit_hier, \"Added prior\": measurement_fit_hier_prior})" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "NOTE - Probably model misspecification, understand why it's worse" + ] + }, + { + "cell_type": "code", + "execution_count": 45, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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meansdhdi_3%hdi_97%mcse_meanmcse_sdess_bulkess_tailr_hat
I(Time ** 2):Planet[Earth]-4.8920.012-4.916-4.8710.0000.0003465.02718.01.0
I(Time ** 2):Planet[Mars]-1.8400.007-1.852-1.8260.0000.0001465.02139.01.0
I(Time ** 2):Planet[PlanetX]-2.9310.015-2.961-2.9050.0000.0001916.02565.01.0
Time|Astronaut[Kirk]14.7750.07714.62514.9170.0010.0012936.02643.01.0
Time|Astronaut[Leia]19.3680.06719.25419.5040.0020.0011903.02459.01.0
Time|Astronaut[Luke]18.3120.06718.18218.4310.0020.0011903.02530.01.0
Time|Astronaut[Scotty]15.8380.07115.70615.9670.0010.0012428.02434.01.0
Time|Astronaut[Spock]16.8590.06816.72916.9860.0010.0012313.02853.01.0
Time|Astronaut[You]17.7260.06817.59817.8500.0020.0012024.02553.01.0
Height_sigma4.3210.0654.1944.4390.0010.0013957.02437.01.0
Time|Astronaut_sigma17.7024.5179.59225.4460.0770.0583973.02654.01.0
\n", + "
" + ], + "text/plain": [ + " mean sd hdi_3% hdi_97% mcse_mean \\\n", + "I(Time ** 2):Planet[Earth] -4.892 0.012 -4.916 -4.871 0.000 \n", + "I(Time ** 2):Planet[Mars] -1.840 0.007 -1.852 -1.826 0.000 \n", + "I(Time ** 2):Planet[PlanetX] -2.931 0.015 -2.961 -2.905 0.000 \n", + "Time|Astronaut[Kirk] 14.775 0.077 14.625 14.917 0.001 \n", + "Time|Astronaut[Leia] 19.368 0.067 19.254 19.504 0.002 \n", + "Time|Astronaut[Luke] 18.312 0.067 18.182 18.431 0.002 \n", + "Time|Astronaut[Scotty] 15.838 0.071 15.706 15.967 0.001 \n", + "Time|Astronaut[Spock] 16.859 0.068 16.729 16.986 0.001 \n", + "Time|Astronaut[You] 17.726 0.068 17.598 17.850 0.002 \n", + "Height_sigma 4.321 0.065 4.194 4.439 0.001 \n", + "Time|Astronaut_sigma 17.702 4.517 9.592 25.446 0.077 \n", + "\n", + " mcse_sd ess_bulk ess_tail r_hat \n", + "I(Time ** 2):Planet[Earth] 0.000 3465.0 2718.0 1.0 \n", + "I(Time ** 2):Planet[Mars] 0.000 1465.0 2139.0 1.0 \n", + "I(Time ** 2):Planet[PlanetX] 0.000 1916.0 2565.0 1.0 \n", + "Time|Astronaut[Kirk] 0.001 2936.0 2643.0 1.0 \n", + "Time|Astronaut[Leia] 0.001 1903.0 2459.0 1.0 \n", + "Time|Astronaut[Luke] 0.001 1903.0 2530.0 1.0 \n", + "Time|Astronaut[Scotty] 0.001 2428.0 2434.0 1.0 \n", + "Time|Astronaut[Spock] 0.001 2313.0 2853.0 1.0 \n", + "Time|Astronaut[You] 0.001 2024.0 2553.0 1.0 \n", + "Height_sigma 0.001 3957.0 2437.0 1.0 \n", + "Time|Astronaut_sigma 0.058 3973.0 2654.0 1.0 " + ] + }, + "execution_count": 45, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "az.summary(measurement_fit_hier_prior).iloc[0:15,:]" + ] + }, + { + "cell_type": "code", + "execution_count": 46, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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Jzmt1VTiHqkQJ6iuJlJQUoOAuuZmZmd6urCXhyQ3mcrlKvI/i8nQh3rdvX751GRkZ/Pvf/wYCm5w+t5o1a/LAAw8A8OKLLxa4TZ8+fQD48ccfCxzOOWfOHFJSUoiKigqa8ypIVTkPEQlOTZo0YeTIkdSuXZuEhIR8CYQLUp4xMC+Hw8Gll17qTfa7ZcsWv95XmeKaPzENqk48qCrnIVJdVOQ1H2DIkCHAhUa24rhYPerMmTP86U9/AuDJJ5/0nlNISAgvvPACISEhvPfee6xfv75Yx1XMCfx5FaQqnENVosauSqJt27YATJ8+nfPnz3tfz8zM5Omnn/a2EJeEp1V5+/btpStkMXiS8b3xxhs+4+1PnTrFgw8+yK5du4DguEB7TJgwgSZNmrB+/XrWrVuXb/1ll11GkyZNOHbsGC+88II3iSZYrfueLsC/+tWvSpwAuSJUlfMQkeD12muvsWLFCr744gu/ti+vGPjpp596401ux48f9w4RKSzvS16VLa5dLKZB1YkHVeU8RKqL8qz3FGTkyJF06dKFDRs28NRTTxWYlyslJYXPP//c5/oBF69H/e1vf+P48eMMGTKE66+/3mddfHw8Dz74IC6XiyeffLJYMwwq5gTntboqnENVomGMAfTVV195Z2woyMCBA7niiisAa9jHRx99RHJyMiNHjqRXr17Y7XZWr15NRkYGt912Gx999FGJyjFmzBhWrFjB73//ewYNGkR0dDRgJe5t06ZNifZ5Mf/3f//H/PnzWbVqFWPGjCEhIYHMzExWrVpF27Ztad26Nbt376Z79+7lcvySCA0N5ZFHHuHJJ58kPT29wPVTpkzh3nvv5fPPP2fhwoV069aN1NRUli9fTmZmJoMGDeKhhx4KQOn9V1XOQ0SqjvKKgV9++SXPPPMMzZo1o3379tSoUYPTp09799uvXz9GjBjh174qW1y7WEzzbFMV4kFVOQ+R6qI86z0FsdlsvP7669x///1MmzaN2bNnExcXR5MmTcjOzmb//v1s27YNl8vFNddc45PQvKh61Pbt2/n++++Jjo7m2WefLfDYnuGMmzZtYsqUKTz++ON+lVkxJzhVhXOoStTYFUBr165l7dq1ha6vWbOmt7ErOjqar7/+mldffZXFixezcOFCateuzcCBA3n44YdZs2ZNictx8803k5qaynfffceCBQu8dxWuvPLKcmvsio+P5+OPP+all15i/fr1LFmyhHbt2vG73/2OYcOGMWbMGOLj46lfv365HL+kxo8fz3vvvce2bdsKXN+1a1emT5/Of//7XxYuXMicOXMIDQ2lY8eOjB8/nuuvv97vWWgCqaqch4hUDeUVAx977DHmz5/P+vXrWb9+PefOnaNu3bp07dqVa6+9lssvv9zva11ljGsXi2lQdeJBVTkPkeqgPOs9hWnYsCFffvkl33zzDT/++CNbt25l48aN1KpViwYNGnDTTTcxYsSIfL1xCqtHDRw4kGeeeQaAP/7xj4XmZ3I4HEyePJlrrrmG999/n9GjR5OQkHDR8irmBK+qcA5VhWEWd2CySDmbNGkSX3zxBU8//TQ333xzoIsjIiJSKoprIiJSURRzRCzK2SUBsXHjxnyvpaSk8Nxzz/HFF1/QsWPHfOPaRUREgpXimoiIVBTFHJGLU88uqXDHjx9n0KBBNGnShDZt2lCrVi2OHDnC5s2bSUtLIz4+nv/+9780aNAg0EUVERG5KMU1ERGpKIo5Iv7RYFGpcG63mxtuuIGVK1eybt06MjIyqFmzJt26dWPs2LFcddVVhIaGBrqYIiIiflFcExGRiqKYI+If9ewSEREREREREZEqQzm7RERERERERESkylBjl4iIiIiIiIiIVBlq7BIRERERERERkSrD7wT1p0+fLtWBatWqRUpKSqn2UV3os/KPPif/6bPyX7B/VjExMYEuQpVT2vgWDIL9e1tequt5Q/U99+p63lD1z72yxLeqEDP8UdW/byWlz6Vg+lwKps+lcKX9bPyJGRXWs8tmUycyf+mz8o8+J//ps/KfPiupjKrr97a6njdU33OvrucN1fvcpeLp+1YwfS4F0+dSMH0uhauIz0afvoiIiIiIiIiIVBlq7BIRERERERERkSpDjV0iIiIiIiIiIlJlqLFLRERERERERESqDDV2iYiIiIiIiIhIlaHGLhERERERERERqTLU2CUiIiIiIiIiIlWGI9AFkMrn7DmTufNg3z6T8HDo0tmgdy9wOIxAF01ERKTE3G6TtYmwNtEkPR2aNTMYOgTq1VV8ExGpDtxukxWrIHGdicMOAwcYdOqoGCBSGamxS/xmmiY/zITXXjc5n+qzhjat4XePQbeuCgYiIlL5bNlq8vcXTbbvyP2qyetvwB23w623gM2mGCciUlWdPmMy6WmTxHUXXvvoE5NhQ0yefNygRg3FAJHKRI1d4hen0+Qf/zT5cZb1vHUr6NcXzp2DBYtg12545FGTib+FK8YpEIiISOUxc7YV47KzITIShg2B2jGwbh0kb4b/vGNy7Dj87lEwDMU4EZGqJjXV5LHfmezYCRHhcMklkJ4O8+bD/IVw8JDJS/+EmJhAl1RE/KXGLrkot9vkhb+bzJ4Ddhvcd6/BTTeA3W794P+/B0xefsVkzs/w93+ahITCpaNVGRARkeD340yT5/9uAjBoIDzxe4OY2lYMM02TGT/Ai/8ymf4t1K8Ht/8qkKUVEZHy8MrrVkNXTAy8+m+DVi2tOHDT9Sa/f8rq9fuHP5l89IEZ4JKKiL+UoF6KZJomr76e09Blh2efMZhws+Ft6AKIjjaY9EeD6661nr8w2WTdegUCEREJbhs2WkMXAa67Bp7/24WGLrB6cV05zuB3j1mvvfeByfYdim8iIlXJqtUmP/wIhgHP/vVCQxdAfLzBa/82qBEFG5Pgn/9KC2BJRaQ41NglRfroE/hqqrX8xycNBg8quMeWYRg88pDByBHgcsNfnjE5dUoVAhERCU5nz5n89VkTlxsuGQm/+bVRaE6u8VfAkMHgcsHfXzRxuxXfRESqApfL5JXXrGv6NVcVnH+4ZUuDv/zZev3TzzNYv0ExQKQyUGOXFOrbGSb/fde6mD/ysMHoUUUPTbTZDJ6YaNCqJZw8Cc88pwqBiIgEpymvmBw9Ck2bwO9/axSZi8swDH73qEFEBGzZCgsWVmBBRUSk3PwyD3bvgRpRcPddhceB/v0MrrjcWv7HP02cTtVxRIKdGrukQAsWmvzrZesiftutcMN1/uXgiow0+NtfDcLCYPUa+OHH8iyliIhI8SVtsobnGwZM+pNBVNTFY1zdula+SoD/vquKjohIZed2m3z4kXUtv/kmg+iaRceC/3vAICbGYO8+mDmrIkooIqWhxi7JJ3GdyV//ZuJ2wxWXw713Fy/ZfOtWhvc9r79pcuKkKgQiIhIcTNPktTesuHTZpdCpo/8x7qYbDKKjYd9+WLKsvEooIiIVYc1a2LvPmoX3umsuvn3Nmgb33RMBWDkcMzNVxxEJZmrsEh+r15j8/kmTrGwYPAh+91jRQzsKc/210CEezqfCu+8pEIiISHBYsxaSNkFYGNxXzJs5UVEG46+wlr/6WrFNRKQymzrNuo6PvRS/evgC3Hh9OA0awPET8NOc8iydiJSWGrvEa8Eik8efNMnIgD694ek/GzgcxW/oArDbDR552HrvDzNh1y5VCkREJPA++58Vj8aNhXr1ih/jrh5vYLfBuvVoZkYRkUrq8GGTJUut5avH+x8LwsIMb3qXL74yMU3FAZFgpcYuwe02ef9Dkz/+OadH10CY/JxBWFjJGro8unQ2GDYE3G54420FAhERCaydu0xWrgK7zRqSWBINGhgMHWotf/2NYpuISGU07TsT04TevazZFotj3Fhr6OOevbBqdTkVUERKTY1d1Vxamsmkp03efd/6wX7dNfC3vxqEhpauocvjgfsM7HZYvgI2JqlSICIigfP9D1YcGjwIGjcueZy79mrrvXPnWnFUREQqj+xskx9zJtG65qrix4IaNQwuG2Mt/zhLMUAkWKmxqxo7ccLk4d+YzF8IDgc8+XuDRx+xlXjoYkGaNTO4NCcYfPq5goGIiARGdrbJnJ+t5cvHli7Ode0CzZpBegYsWFQGhRMRkQqzYiWcSYG6daB/v5Lt47IxVhxZuAhSU1XHEQlGauyqpnbtNrn/IZNt26F2bXj13wbjLi+7Rq7cbrnRwDBg8RLYvUfBQEREKt7S5TmVm7rWsJXSMAyDS0dbMXPWbMU1EZHKZGbOdXvUJZT4Jn9cHLRqCVlZMG9BWZZORMqKGruqob17rR5dR49C8+bw9hsGXTqXT0MXWOPgBw+ylj//nyoFIiJS8ebOs+LP6FJUbnIbM8p6XJsIR48ptomIVAZnz15ITH/pmJLHAsMwGKObHiJBTY1d1cyJEya/fdzk7FmIj4O3XjNo2qT8Gro8JtxsHWPOL3DmjAKCiIhUnOxsk+UrrOWhQ8om5jVubJDQDUxT08+LiFQWP88FpxPat4N2bUsXD0bn3PRYtx5OnFT9RiTYqLGrGnE6TZ76k9Wjq1kzePHvBrVqlX9DF0CnjgZxsZCdDbN+qpBDioiIAJC4DlJToU4MdOxQdvv19AqYNVvTz4uIVAaeXlil6dXl0bCB4Y0pi5eUenciUsbU2FWNvP+hyeYtUKMG/OsfBjG1K6ahy+OKcdbxZnyvSoGIiFScRUusmDNwINhsZRf7hg2BkBDYuw927ymz3YqISDk4fNgkeTMYBlwyomz2OXiQFVMWLVbdRiTYqLGrmti+3eTjT63l3/+uYoYu5jVqJESEW5WCDRsr/PAiIlINmabJ4sXW8pBBZRv7atQw6NPbWp43XxUdEZFg5kkk360r1K1bNvFgSE5e4rWJmpVRJNiosasaME2Tl18xcbth+DAYObziG7oAoqIMRubcRZnxg4KBiIiUv+074PgJ62ZLj+5lv/9hQ62YOl+zcYmIBLX5C6z6x/BhZVcXatnSoEVzK1XL8pVltlsRKQOOQBdAyt/ceVZPqvBwePj/AtPQ5XH5WIPvfzRZsBB+/1uTsLCCyzNr1iymTp3Kzp07MU2TVq1aMX78eMaPH49h+H8Ohw8f5ssvv2Tz5s0cPHiQlJQU7HY7zZs3Z/jw4dx0001ERESU1emJiEiQWb3GeuzenUJjTmkMHAAOhzWMcc9ek1YtL36M8oxNCxYsYNq0aWzZsoW0tDRq165Nhw4duPnmm0lISCjRPkVEKrsjRy8MYRw2pGz3PWgQfPY5LF1qFqtTwaFDh7jmmmsKXV+nTh1+/PFHv/f34IMPkpiYWOQ2hmGwbNkyv/cpUpmpsauKczpN3nnfuosx4WaDhg0C29jVuRM0aghHjsLSZVZPs7z+/ve/M23aNEJCQujcuTMRERFs3LiRyZMns2HDBiZNmuT38Xbu3Mnnn39O3bp1admyJQkJCZw7d46kpCTefvtt5syZw1tvvUV0dHSZnaOIiASP1WusGNirZ/nEv+iaBr16WrM9zl8Ad9x28feUR2xyu9288MILzJgxg4iICLp160aNGjU4evQoS5cuJS4uTo1dIlJtzS+HIYwe/fsafPa5ycrV4Habxc4NWadOHfr165fv9Ro1ahSvHP3707hx4wLXbd26lZ07dyoOSLWixq4q7ue5sH8/REfDDdcFujTW3YQRI0w++xx+mWvm60Y8d+5cpk2bRnR0NK+88grx8fEAnDhxgt/85jf8+OOP9OvXj9GjR/t1vPj4eD777DPatGnj83pqaipPPPEEq1ev5oMPPuCRRx4pmxMUEZGgkZVlsn6DtdyrR/kdZ/gwg+UrTOYvMLnjtotXcsojNr377rvMmDGDQYMG8ec//5latWp51509e5YzZ874vS8RkarGO4RxaNnf+OjcCSIi4PRp2LkT2rcv3vtbtmxZrJv5hbnttsLvttx1110AXHrppaU+jkhloZxdVZjTafLBh9aF/eYbDaKiAtury2PUCKscS5flT+T4zTffAHDLLbd4G7oA6tWr5/3R/8knn/h9rHr16uWrTABERUVxzz33ALB69erinYCIiFQKm5IhMxPqxEDr1uV3nMEDwW6HHTth/4GL56Qs69h07NgxPvroIxo1asSzzz7r09AFEB0dTYsWLfzen4hIVXLqlEnSJmt5yOCy339IiOHNCbliVdnvv7T27dtHcnIyYWFhjBw5MtDFEakw6tlVzjxjsbt3785LL73E22+/zdy5c0lJSaFly5bce++9DB5sXXV/+eUXPv30U3bv3k14eDiXXHIJDz30EOHh4T77zMjI4IsvvuCXX35h//79ALRp04ZrrrmGyy+/3Lvd/AVw4CBEhq/jwL5fmDBhHceOHSMrK4tGjRoxZMgQbrvtNmrWrOmz/zVr1vDQQw8xduxYfvOb3/DWW2+xcOFCzp49S/Pmzbn55pu54oorSvyZtGsHLZrDvv2wcDFcNubCuq1btwLQo0f+W/A9evTAZrOxbds2jhw5QkxMTInLAOBwWF//kJCQUu1HRKS6K0ms27VrFxEREaWOdR7r1q3j559/JjEx0RvrwsMb4soeQteuv8IwfBuAyjLWRUcb9OxhsnKVFXt/NaEkn6KlJLHphx9+IDs7myuvvDLf5ygiUlGCNRbUqGHFgrj4X1G/fvnEgj69DJYsNVm12uTWW4Kjg4HH7NmzARg0aFCxh0aKVGZq7KogTqeThx9+mEOHDtG9e3fOnDnDunXrePLJJ3n55ZfZuXMnr732Gt27d2fQoEGsXLmSr776ipSUFJ555hnvfk6dOsUjjzzCjh07qFu3Lt27d8c0TTZu3Mjf/vY3Nm/ezMSJEwGYOs26uxwe+jqzZu2gbdu29OrVi6ysLLZu3crHH3/MkiVLeOedd4iMjMxX5vPnz3PvvfeSnp5OQkKCt8zPPfccbreb8ePHl+izMAyDkSNM3v8QFi4yuWzMhYCQnp4OkK8BDqwf/hEREaSmprJ9+3Y6dOhQouODFTg/+OADAAYOHFji/YiIyAXFiXV9+/Zl3bp1pY51Hq+++io7dvjGuhUrt2K6PmH92qWkpZVvrBs21GDlKpN5C0x+NaFkFZ2SxqY1a6ws/F26dOHEiRPMnj2bAwcOEBUVRc+ePenXr1+xJncRESmNYIsFq1ZbseDooSWkpb1bLrGgd2/rccNGSE83iYjw/5p76tQp/vvf/3LixAlq1KhBp06dGDx4cJndkPc0do0ZM+YiW4pULWrsqiAbN26kV69efPPNN94Zlr7//nueffZZ/vGPf3D27FneeecdOnToQExMDNu2beO2227jp59+4v7776dp06YAPPvss+zYsYMbb7yRhx56iNDQUABOnjzJxIkT+frrrxk4cCB16vZjY5I1Q9RDD93NwIFdfVrys7KyeOmll5g+fTqff/45d999d74yL1y4kFGjRvHnP//Ze5wFCxbwxBNP8P777+e76PszA0heS5f8kczMcd4ZsmJiYjh+/DhHjhyhdZ4xJykpKaSmpgJw5MiRYh3n7Nmz/Pvf/wbgzJkzbNq0iZSUFIYOHcott9xSrH2JiEjBihPrAI4fP16qWDd27Fjvse+++266dr0Q6zIzTUaPzcTlfpnjx7+tsFiXvAHy5hn+05/+xLhx4/JtW1axaffu3d7Hp556ivPnz3vXffLJJ/To0YO///3vBd5IEhEpaxUdC/r37+89dt5YkJ1tctkVmWQ7X+b06fKPBc4MGD684M+lsFiwd+9e3n33XZ/XGjVqxHPPPUenTp0K3pmfNm7cyIEDB6hVqxYDBgwo1b5EKhs1dlUQm83G448/7jOV+NixY3nttdc4cOAAd955p09Ppfr16zNmzBj+97//kZiYSNOmTdm2bRtLly6lY8eO/OY3v8Fmu5ByrW7dujz55JPcfvvtfPPNN8TU6wvAsKEwZkz+C1toaCiPPvooM2bMYOHChQVe9KOiopg4caL3gg8wdOhQ2rZty86dOzl06BBNmjTxritqBpCCzJsPWc5mrF5jTd0OkJCQwJw5c/jhhx98AhdYQdIjLS3N7+OAdbc879S9I0eOZOLEiRryISJSRio61uVu7Mr7I37LVnC5Qqnf4FFOHvu+QmLdylVw8iR06ACtWl54vVmzZgVuX1ax6dy5cwBMmTKFLl268Nhjj9GsWTOSk5N54YUXWLt2LS+88ALPP/+83/sUESmpio4FuesMeWPBuvWQkRFKvfqPcup4+caCpE3WxGAtW0HHePLJGwtCQ0O55ppruOSSS2jVqhVhYWHs3r2b9957j6VLl/Loo4/y0UcfFat+ldfMmTMBGDVqlHeYvEh1oW98BWncuHG+5LA2m41GjRpx5swZ+vbtm+89nrsaJ0+eBGDFihUADBkyxOeC7xEXF0dkZCRJSclkOq3XrrvG6jF17NgxFi9ezN69e0lNTcXtdgPW0EDP+Pe84uPj8yW5BWjevDk7d+7k5MmTPhf9omYAKUhUtJtp02HxUpOBA6xyTpgwgblz5/Lzzz/TsGFDrr/+esLDw5k3bx7/+c9/sNvtuFyuYg/HaNCgAcuXL8c0TY4dO8bKlSt56623mDBhAi+99JJPMnwRESmZiox1ycnJ+dbljnUbNp7HlWViNyou1n35tckrr5nUiIZJky4+B1BZxSZPTI+Ojubll1/2VjB79+7Niy++yK233srcuXPZt2+fEtWLSLkLpliwcpUVC8JDyz8WzJtv8uenTRyh/sWAevXq8fjjj/u81rlzZ1566SUmTZrETz/9xIcffsiTTz550X0VxOl08ssvvwCahVGqJzV2VZD69esX+LrnB2lB6z3rsrKyADh8+DAAb731Fm+99Vahx8rIyMQWCnGx0KkjfPbZZ7zxxhs4nc5ilblBgwYFvu4Z5+4pV0kNHmgwbbrJ0qXgdpvYbAbx8fH86U9/YvLkyXz66ad8+umn3u0HDhyIw+FgwYIFREdHl+iYhmHQsGFDrrjiCtq2bcu9997Ls88+y8cff6x8JiIipVSRsS4zM9PneWGx7vChostclrFu4AB45TVYvx7OnjOJrulfXCltbIqMjOTs2bOMGDHCpycFQNu2benQoQPJyckkJiaqsUtEyl0wxoL9+4ouc1nEgp49wDBgzx44ccKkXr2S1y3uuOMOfvrpJ5YvX17ifSxdupSUlBSaN29O586dS7wfkcpKjV0V5GI/Vv35MWuaVsL5bt26ee9+FGTRYkjPgqvHG2zatIlXXnmFGjVq8Nhjj9GjRw/q1q3r7aI7btw4Tpw4UeIy5fbRRx+xZ88ev7d3uyE05ApOnurG5i1WwxzAZZddRs+ePfnll1/Yt28fYWFh9OrVi4EDB3L//fcD5MvnVRIdO3akRYsW7Nixg0OHDhX5mYqIyMVVZKzLLSkpySfWde/enXvur8PZc6G8/YbBE49fUWGxLjIMzp2Dxx+HJjkjT6688koSEhL82n9JYlOjRo04e/ZsoUNdGjduTHJyMqdPn/arDCIipREssaBps+489EgdHPZQfpxhcOON5R8LosIhJQX++Cdo2sR3XXFiQfPmzYELPd1KwpOYXr26pLpSY1cl4rkLMmTIECZMKHhe8+TNJj/NNQkLg+HD4P335wPwwAMP5JueNyMjo1QX0LyWLVtW7AT1nbp0Z+v2bixeatKp44Ug06BBA26++WafbTMyMti+fTuRkZHExcWVSZlr164NwOnTp9XYJSISBPyJdXnNnz8fuBDr9u0zOXvOJDQUWrYITKxbl2j9A+jRo4ffFRwofmyKjY1l27Zt3txdeZ09exYgX68vEZFgVRaxYMb3JoZh0rEj2O2ZFRoL1q+z/uVWnFhQ2ut2amoqixcvBtTYJdWXGrsqkT59+vCf//yHBQsWFHrRnznbugsydDBERRneH74Fdc2dO3eu965JWXjzzTeL/Z6ffjZ55llrKOP99xS97ffff096ejrXXnttmSSVT01NZevWrRiG4TMGX0REAsefWJdX3li3cZP1eod4WLhwXoXGuk3JJvf/n0lUFHw/3SAkpHi9BUoSmwYPHsz333/P2rVr861LS0tj69atAGV2o0hEpLyVRSxYvca69vfqWXH1njVrTX7zW5O6dWH610aJ06TMmzcPsG5mlMTcuXPJzMyka9euuqEv1dbFM+dJ0OjcuTN9+vRhw4YNvPjii6Smpvqsz8oymTV7O27Xci4dY11YPbk5vvvuO5+x67t37+b111+vuMIXom9vsNlg5y44dswKQJs3b8633cKFC3nttdeoXbs29957b771f/3rX7nxxhu9d3Q8vv32Ww4ePJhv+2PHjjFp0iTS0tIYMGAAderUKZsTEhGRUrlYrAPYvn07y5Yt8z7PG+s2brTiSbOmFR/rOsRDnRhITbVmAStISWPTww8/zI033simTZt8Xh80aBCtWrVi48aNfP31197XXS4XU6ZM4ezZs7Rt25Zu3bqV/gRFRCpAaWNBVlY2a3I6XjVpvKfCYkHnThAWZs3Mu3tP0dtOnz69wKGQ8+bN44033gDguuuuy7e+sFiQ26xZswArPYxIdaWeXZXM008/zaOPPsrUqVP56aefaN++PfXq1SM1NZWkTTs4d+YokTVuoGcPawrecePG8dlnn7F48WJuuOEGOnTowNmzZ0lMTGTo0KFs2rSJI0eOBOx8atUy6BBvsikZVqyEK8bBnXfeSbNmzWjZsiURERHs2rWLXbt2UatWLV5++WXv8I7cjhw5wt69ezl//rzP67NmzeKFF16gdevWtGzZEofDwdGjR9m6dStZWVm0adOGp556qoLOVkRE/FFUrNuxYwdHjx7lxhtvZOzYsUD+WHf2XAdcWWf5/rtEhg2r2FhnsxkMHGAy4wdYtNikd6/8d/VLGpsOHDjAkSNHyMjI8HndbrfzzDPP8OCDD/LPf/6Tb7/9lmbNmrFt2zYOHjxIrVq1+Otf/6qJWESkUvE3FvTvn7/ec+21N3LyZAdstrM892zF1XvCwgy6dTVZuQpWr4E2RaQZnj17NpMnT6Zdu3a0aNECt9vN7t272bt3L2DNUj9s2LB87yssFngcO3aMxMREQkJCGDlyZFmclkilpMauSqZOnTr897//5dtvv2XOnDls27aNjRs3UqdOHWy2Jtgc1zNmzCXY7dYP2lq1avH+++/z2muvkZiYyOLFi2ncuDH33XcfEyZM4Nprrw3wGUG/vgabkk2WrzS5YpzBTTfdxNq1a9mwYQOZmZk0bNiQm2++mV/96lfF7oF166230qxZM5KSkli7di2pqanUqFGDTp06MXz4cK666ipvsn4REQkORcW6Jk2acMMNNzBq1Cjv9rlj3dq1iZw/twiMJtx+x33cfXfFx7qBAwxm/GCybIWVZDlvI1N5xKbY2Fg+/vhj3nnnHVasWMHu3bupU6cOV155JXfeeWehyetFRIJVaWLB0qWJmO5FhIY34c47Krbe06unwcpVJqtXm9xwXeE3GcaPH09MTAzbtm1jxYoVZGZmEhMTw7Bhw7jmmmvo06dPiY4/e/Zs3G43gwcPLvEM9iJVgWH6OXi5tDP4xMTEaBYgP5Xks8rMNBk33iQ9A/7zpkHHDpXn7u3mLSb3PmDlN/nhWwOHw7+y6zvlP31W/gv2zyomJibQRahygvn/21/B/r0tLwWd99JlJo8/ZdK8OXz+cWCyNaSlmYy90sTphM8/MWjerOxjsv7Pq5+qfu6VJb5V5f+D3Cr7923iE26Wr4CHHjS4+cayuwb787ls325y570mEeEw83v/6zaVWWX/vpQXfS6FK+1n40/MUM6uKmL5CkjPgEYNrXwhlUlcLNSuZeU3SSp86LmIiMhFbdxk3cPr0ilwZYiMNOjW1VpesTJw5RARqY6cTpP1OTkTe/Wo+OO3bQu1a1t1s03JFX98EbGosauKmDvP+nE/fBiVLieHzWbQp7e1vHxF2c2SIiIi1U9yTsWiU6fAxsI+va3jr1ypuCYiUpF27LAammpEWQ1PFc1mM+iZ08jmmRFSRCqeGruqgIwMk6U5E5GMGF65Gro8+vW1yr18RYALIiIilZbLZZKcM6Fv5wD27ALom5NqZe06K9WAiIhUjA0brccuXayGp0Do3dM67qrVATm8iKDGrirBM4SxcSOIjwt0aUqmT28wDNixE06cUKVARESKb9duSE+HyEho1TKwZWnbBurWhYyMCxUvEREpfxuSrLpE1y6B6wTQq6f1uHkznD+vuo1IIKixqwqYv9C6gA4bWvmGMHrUrm0Qn5NrbLnym4iISAlsysn72CEe76zEgWIYBn1zhuivXKWKjohIRTBNk405Nxi6dglcORo1MmjWDFxuWLM2cOUQqc7U2FXJOZ2md+jfkMGVs6HLo1/OkA/l7RIRkZLYlGzFj0APYfTw5O1SknoRkYpx6BCcPAUhIYEf8TKgn/W4ZKnqNiKBoMauSm5jEpw/b81m2LFDoEtTOp68XatXW414IiIixZGUk5y+c4CT03v0zBnGsms3nD6juCYiUt48w8bj4yAsLLCxYNBA6/hLl1s5JUWkYqmxq5Lz3Cno1y/wQzZKKz7OarQ7n6r8JiIiUjwpKSb791vLwXLzJ6a2QetW1vL69QEtiohItbBho1U36hLAIYweXbtYM0KeOYN38hQRqThq7KrkPLMwDuhfuRu6wGqs65fT3XfZct39EBER/23K6dXVvDnUqhU8MbF7gvWYuE5xTUSkvG3w5usKfBxwOC7UbTSUUaTiqbGrEtt/wGTffrDb8SbBrez697MC07LlAS6IiIhUKt58XR0DXJA8uidYcW2denaJiJSr02dM9u6zlrsESe7GgQOsGLB4aYALIlINqbGrEvP06kroBlFRgb97URb69AK7DfbshYOHdAdEAsw0rX8iEvSScmZi7BQk+bo8ErpZjzt3wRnl7ZJgpXgnVUBSkvXYqlXw9PDt28fqmLBnDxw8qL8xEQBME7MCYo4auyoxT3dYzx2DqqBmTcM7xl69uySgTJPQZa8Tuux1VQBEgpzLZXrzoQTLTIweMTG58nZtCGhRRAqmeCdVhCdfV9cgyNflEV3T8N70mLcgsGURCQo5Mcc975/lHnPU2FVJpaWZ3jHp/fsFtixlzZN/bOky/eCSAHJlY5zeg3F6D7iyA10aESnC7j2Qng4REXgbloKJ8nZJUFO8kyoimPJ15TZyhFWeX+YqBoh4Yo55Yle5xxw1dlVS69aD0wmNG0OzpoEuTdka0N96XLcO0tMVFEREpGie5PQdOwTnzMSevF1rEwNcEBGRKiojw2TrNms5mHp2AQwbYg1l3L4D9u5V3Uakoqixq5Jatdq6UPbuBYYRfD/sS6NlC6sRLysb1qwNdGlERCTYbdpkxcROQZac3sMzhGXXbjh3ThUdEZGytnmL1RGgXj1o3CjQpfEVHW14JxP7Wb27RCqMGrsqqVVrrMfePatWQxdYjXcDPNP0aiijiIhcxLqcXFhdOgdnTIyJMWjaxFr25BYTEZGyc2EIY3B2BLhkpFWmOb9QIYm5RUSNXZXSsWMme/aAzQY9ewS6NOXDk7dr2XIFBBERKdyRoyaHDlkz+Qbb0JXcPL3OkjYppomIlLULyemDr6ELYNBAK6/kgQOarESkoqixqxJandOrKy7O6hZbFSV0g4hwOHECtm4NdGlERCRYJa6zHmPjICoqeGNip05W2Tz5xUREpGy4XCZJm6zlYL3pERlpcMkIa3nGD7rpIVIR1NhVCa1ak5Ovq2eAC1KOwsIM+uUMZZy3QAFBREQK5pnhsEdCYMtxMZ07WY/JyeB2K66JiJSV3XsgNRUiI6FN60CXpnDjLrduesybr/yNIhVBjV2VjNttent29ekdvHewy8Kwodb5LViooYwiIlIwT88uz4yHwaptGwgPh/OpsHdfoEsjIlJ1ePJ1de4EDkfwxoKOHazGuKws+OnnQJdGpOpTY1cls3sPnD5tDfEL1lmnykr/vhAaCgcOws5dgS6NiIgEm0OHXBw+HPz5usCqgMXHWcubNgW2LCIiVUmw5+vyMAzD27trxvembuaLlDM1dlUynjvYXbpASEhwX9BLKzLywjS9CxYqGIiIiK8VK7MBK4dlZGTwx0QlqRcRKVumabLBOyNvYMvij0tHQ2gI7Nip2XlFypsauyqZdeutH8gJ3YL/R31ZGJozlHH+ggAXREREgs6iJVZjV5/eAS6InzorSb2ISJk6ehSOHQe73RomGOyiow2GD7eWp3+rGx8i5UmNXZWIaZreqWoTugW2LBVlYH9wOKzhm3v3KiCIiIjF6TRZstRq7Orfr3LcAPIkqd+zF1JTFdNERErLUzeKjYWIiMoRC64eb5Xzl3lw9qxigUh5UWNXJbJ3n5WvKzQUOsQHujQVo2ZNg549rOX5CwNbFhERCR4bNsL58ya1a+HNhRXsYmIMGjYE04Rt2wNdGhGRys+Tr6tbkOdtzK1TR2jX1kpUP3N2oEsjUnWpsasSWbfOeuzcqern68pt2BDrXOfO150PERGxLF9hxYS+fcFurzwxMS7WetyyNbDlEBGpCtbnzMQY7MnpczMMg6uutMo7/TslqhcpL2rsqkQSq1m+Lo+hQ6yhjDt3wq5dCgYiIgJLl1uP/ftWrpgYF2uVd+s2xTMRkdJISTHZs8da7lKJenYBjB4FERGwfz+sTQx0aUSqJjV2VRKmabJuvbVcXfJ1eURHG/Tvay3/9LMqByIi1d3+A1YFx26HPn0CXZri8fTs2rotsOUQEansNiZZjy1bQEztynXjIzLSYMwoa3n6d6rfiJQHR1nv0HZ0E/Y9i7EfXoft8AZs6acAyAbCOl5F5qUvFPl+4/QeQle/h33fMozzxyAkAnfddmR3uBJnl+vAKKR9znTj2Pg1IZu/w3ZyB2SnY9ZogKtFf7J63YUZ06rk53QkiZC1H2I/sBoj/SRmaE3cDTqQ3eU6XLGX5n9DdhqhS1/FsW02RuoJzIhauFoPI3PwbyEiJt/mjk3TCJ/9B9wxrUi77dsCy3DgIJw8CSEhF6YuLy/2bbMJSZqK/WgSZJ7HDK+Fu3E3shNuxtVyYIn3azu4lpANX2A/vA7j/HFwZ0NoFO6Y1jjbDie72y0QVsP3TdlpOLb/xG/j1vOQYx3tz23H/pLLWgUYd/+MWatpKc62DGSeI3T1+9h3/oIt5QAA7lrNcLUdSVavOyGsZol3bd82i5CNX2M7thkj6xxmRF1czXqR3eN23I3yz69snNlP6JKXcexdBlmpmNGNye50Debo3xe4/7BZTxGSPJ1sP/42ReSCwmId4NffU1nHOmf7YRhdJlSuWGcPLXFZf5lrPfbtE0J0TVex3muc2kVI0jfYjmzEdvYARvoZcGVBaA3cMa1wthpEdsItBZ5DUSK+vA37gVUX3e4S4J0Bvbln6QekpppERRnYDq/Hvn8F9gOrsZ09iJF6ErLTMCNq427YiexOV+NqP7pY5SlrxvljhKx+F8fuRRjnDoM9BHftVjjjLiU74VZwlPD/swS/32zHkgld8gr2Q2vBmYG7diuyu0/A2fXGAg8R/uXtOA6sJKvfQ2QNeLhk5RQpZ4orFDuuuBO/Yd2Vf+KE2QpcpYsrZcV2KJGQjV9hP7DKqu/YHZgRdXE3iMfZegjOztd6t71qvMH070wWLoITJ03q1S3HBrtyrq84t3xL5MENpaqvZPe+B2z2fNurviIlVeaNXaHL38Sx85cSvde+/SfCf/w9hivrwouuLOwH12A/uAbnlh/IuPpNCIn0fWN2GuHTHsRxYKXPy0bKAWwbv8KR/C0ZY/+Jq/2oYpcpJPETQue/gGG6L+w3/RS2vUtw7F1CdtzPZF729wt/mKZJxLQHvD943VENMNJOEJL0NbbDiaRPmAqOsAsHyDxH6KJ/WYvD/lDoRdoz00iHeAgLK6cLodtJ+A+/w7H9J5+XjbQT2Hb+gmPnL2T1vJOsoY8Xe9chaz4gbMHf86/ISMF+eB32w+sI2fgV6Td+ilmjgXe17fRewmc9RWuAWsU+bLkzTu8m4qs7sZ0/6vO6/cQ27Ce24dg0jfTr38OMaV28HbtdhM18nJCtP/oe7/wRbFu+x7H1R7KGPUV291svrEs9TsT/bsaWdhLT5sCMqI3tzD7ClvwbV/oRGPYXn33ZDiXiSP4WM6wmWYN/V7zyiVRzwRbrzNWfEJn4ZaWPdf6aO8+6Cz720lAgvVjvte9fSejqd/OvyDhzIR6t/5z06z/ErNu2VOUsTEjO6W/bDt0TIOLruzCy0/JtZ6Qex7ZrPo5d88mOG0vmZf8osCJQ3myHEomYdj9G5rkLLzozsB/diP3oRhybppNx/fuYkXWLt+MS/H4zj24h4n+3YjjTMe2hmKE1sZ/cjv3np8lMPUF2/4d89uXY8gOOAytxRzclq8+9xT53kYqiuFL8uDIw7WVwQHLLp+gR6IYu003ovBcIXfeJ7+uuTIysVGwp+7AdTfJp7GrX1qBLZ5ONSfDDj3D7r8qnaBVRXzG5MGSspPUV25l9ZI55zucQqq9IaZTrMEYzzP/WCePULsJ/nOi9SJuOcJytBuOq2867jePASsJ+/mu+94b9/Fefi7SrblucrQZjOsKtfbuyCP/xdxindhWr/PZ9ywib95z3Im2GReNsPRR3rWbebUK2/kDostcvvGf/cu9FOnP4n0i7fwEZ41+z1p3ciWPL9z7HCF36Kra0kzjbjsTVenChZdmUbP2w75K/cbzMhC7+t09DlzuqPs6Wg3BH1LmwzZr3cWz4slj7Nc4f81ZyPFz14qz/o9ALPblsKQcIXfpKoftxmQ5SnZGFrq9wziwipj3oDRwmBq6mPXE17YmJ1SBpO3+EiGkPgjOrqD3lE7rsdZ+GLnetZjhbD8UMiwbAMN2EzXsO+77l3m1C1n1mBQ7DTvqEr0i7fxFZPe+0yrb2fxhn9l04gOkmbO7fMDDJ6v8QZlS9En0EIqJYV5axzh+7dpns2m3lchw5ouSVG3dEHVyNu+FsMwxXfd8pjm1pJwmbP7lY+3M1642z/egC/+X+/wU4GWp10c6bpN407LgadcXZajDuqAY+60K2/khI4sfFKlOZSDtFxPQHvQ1dps2Bs0V/XA0v/CCxn9xO+PePFXvXJflOuxa9ZjV0hdUk7a7ZpD2wmOycHiKhq96B3I2GWamELnwRgMxhT/pWlEWCmOLKxeOKfeEr1HKcZN7hETQaWLq4UhZCF/zDp6HLtIfgqt8BZ+shuOp3wLQXfP0Zn5Oo/rvvTVyuchjOWInqKyGbvlF9RcpUmffscsaOwRk/FlcjK7FU1LuX+PW+sMUvY7iyAeuHVPpNn+Ju0BFMk7AffkvItlkAhGz+juxed+Gub80zbju+lZDN33n3kx17KZmXvwSGge1YMhGf3YjhdmK4sglb/G8yriy8MSUvzw8ksC7SabdNx6zZGFxZRHx1B/ZDVjbBkNXvktXjVxARg+3opgtl6TgeAFeb4ZhhtTAyU6z1OS36tuPbCFn/OaY9zPoRVoTkzdZjx46l79VlpBzAkfwtrhb9cTftYb2YlUpI4oULtLt2C9ImTLWGFaafJvLDK7ClnQQgbMm/cXa6yu8787ZD6zDcTu/z3F1QjTP7iXz/MgzTGoZiO7zO571mRB0yhz6Bq1FXVh/swJnP/sqVLQoe6lkaBX4mFxGy4QtsZ/Z6n2cN/yPZ3SdY6xI/JWzeswDYzuwlZOOXPnc1ipR2ipDV73ifupp0J/36D8AeinHuCJEfjcfIPAtY39H0W6dax8n57rnrx+LOqbg5O44ndM371vpjybhqtwDAseEL7Mc246rbjuyECf6VS0S8gi3WRX52I1SBWOePb761KgMD+kN0tI3TpwverrDrurtJD9Ju/gJ3oy5gXIip9p3ziPj2/y48P7S2WOXKGvDrQtdFfHHh+m8aNg42uQXwJKk3MEMjyep1l+/wSWcm4TOfwLH9wrz0jk3TyO55R7HKlZvtxHYcydPJ7nIDZkxLv94TuvI/GBkp3ucZV76Cq81wa92Cf3hjjP3AKuw75+FqO9y/spTw95t5yEpg6mreF7NmIwCcHa4gZNssDGcGtpM7rf9brJ4ytvNHcbYchKudf3+jIoGiuFK8uBKW9D8yXGG8e+gJ3mzkd9FKxUg5gGvde9jqJ/jEFdvhDYSs/cj73NWoKxmX/cP3OpudgT1PDzqA4UPhldfg6FFYvgIGDij6+MFaXzFa9Cbt6ndUX5GgUuY9u5wdrsAZN7Z4eZQyzmLftcD71NWiv3WRBjAMsnvc7rO5I9eF2ZH8nc+67J53eH+8uht0xNW8n3edfdd8yDjrV5FsJ7ZjP7bZ+9wZd5l1kQawh/r8wRmuLBxbZ3qeFbJHM9/6sHnPYridZPe+GzPXnY680tJMdu+2ljt18Kv4+WWl4kj6hogvbyPy3dGELXsNI1cuAPvhdRiuTO9zZ9xlF/JnRcTgajvSu85IP41990L/j20P8XnqznU32Kzd3HeMeKhvzi6zZkOye96Bu2kPuvUMJ6wsb8pe5DO5mNzfQzO0Btldb/A+z+56A2Zo1IVt83xPixKybab3RwtgBZ2chkWzZiPr/yaH/Vgyxskd1hOjoO9e7jtEOevTTxO2ZAoAWcP/BLYyb/MWqfKCLdYZbS7c1a6ssc4fZ8+azMpp+7numgLK4Md13V0/Fnfjrvmuma62w317U5RRLyDb8a3YD665cJzWQ2jcoTlwIUl9+q3fWMPvcuekcYSRmWfIhu30Xoot/TQhiZ8Q8el1RH50JaGr3ytwyGSBTNOnN4W7ThtvQxdAdq87fTbP/Z29mJL/fivg/93MH+uMU7sJSfwI0x5C5vA/+F0ukUBRXCleXLGZTj7ccRcNY5thFPgbuIzkiSvuuS/miyshaz/CyCmn6Qgn4/KX8t9QCAnH1XpIvt2HhRmMzUlfVmCi+kpSX7H1u1v1FQk6QTEbo/1oEob7wh+Lu6FvBnZ3g47ebpYA9sPrcy2v8y6bGLgb+LYGuRt28i4b7mzsxzbhj7w9jFy59lPQc085ch8vJNnqgWTfNc/bsu1J0ufY/D32A6usHBK9i84hsWUruN3QoD7Uq1eMi7npxr53KWEzHyfqrcGE//RHK1kipvV5OiK8mxppvrfG83afNsOj85zvevzlapKAmStHgGPTVIzTeyA7Hce6zzAyznjXOQtKVuk5pt2gSWO/D1uwYnwmRXJmYju+xfvUXS/Wt1HPHmK9lsN2fLPfXYNth3w/W1eDPN+9Br5/H/ZD66wy5GxnO77NWzZv0DIM73czbPHLGBkpZMdeiqtFX7/KJCKlV56xzmjS9cJyJY11/vjue8jIgHZtrVxXQJld163yX+jB5GxRxO31YghZ96nP8+yEW4mzOlawfz+kppqYUfULfG/eIRumvwmEXdnYd/xM+LcPE/X2UGsYSc7ddNPmwPSzZ7ZxZp+3Vzfkj0dmVH2f4ZaeeOSPkv5+83zX7ftXYJw74tMgZzrCcefkWQub9xyGK5vs7rdh1ilmHhqRSqI6x5UTzqa8t/0eunYph4auIuIKRp64Ypo49iy+cH5NumNknSd08b8J+2EiYXP+gmPj175DrPPwDGVcvgKOHjMrZX3FaNLN53lJ6ismqq9I2QqKJlIjV9dKIP+PPkcohEdDTjd64/Segt8bUTvf0Lq8PxSN03ugRf+Llinv3dO8Zcr73LO9q3lfnM36WGPj5z1LyMr/YKSdsNbVbYszbqxvDomhT0BIeJFl8Q5h9LNXl3FqFyGbpuPYPAPb+SM+61z1YnHGj8MZfzlmdJML55PnB7Qtz/+JLff4acB2Zr9/hQGIiCFjzHOEz3wCw5WF/dhmot6/zGcT0xZCdvdbye5edGbGJk0MOOD/oT1K8pkUub+UAz5DMwuqqJiRF757htuJkbLfr2THeT97s8bFvnt7AMhOuBnHxi+xpZ0k4tPrrYSPqdZ3z+h+E2atZtiOJOFImooZEknW0CcuWhYRKTvlGeuo6buvyhjrLsbpNPlmmnX394brDGynd+Na/SaRiV+V6Lpu3zmPkOTp4MrCOHsI+4ltF97fsDNZw8rgGplxFsfmXD2jYlrjajmAGMOgQQOTY8cuJKkvsIx7Fvk8dzXvXeThbEeScCRPJ2TLDz43kgArP1n8OKuXhZ+J5PPFo4JiXVQ9SD1mbX/+CGRn+PV/XdLfb/bBD5O96QeMzHNEvncpZmiUd9a6rD73QkgE9u0/4di7BHeNhmT1e9CPMxWpnKpzXPnnpsfJdIfTtStlxp/6QlTfW3CZF3pDGWcP+dwosZ3cTsTHV3t7egGEbPwS99JXyLjiFdxNEvIdt3kzg25dTVJ27eL8d9/S2v19pauvULMBpF5oKCtJfcXZ6WrVV6RMBUdjV+7ZfcCbFNH3tQgMUvJt72ntL/x9vq8ZmedLVCby7jvffnO2Nwwyrn4z17S5xzEj6+BsnTNtriOM0IWvYEs9hrPlQFztR2GkHidk3afYjiQB4GrVGyP+Gu9FInmzdbEsMl9X+hkcW38kJPlb7Ec2+KxyRzfFGTcWZ4dxPq33ubkad8O0h3i7ozo2z8DZbhSupt2x712Kfec83zdknStgL4VzxV5KelR9Ir59ON8PcABn+0usXCUXmWUqOrrI1b5K+ZkUJff3DsAsYLiLGZL/O+JP2sm8+8733cu73yzrO21G1Sf9ps8JXfwSjn3LMNJTcNduQXana4gaNRFSzlpJHk03mX3vx6zZCNuxzYRs+ALj9F4IjcTVoj/ZXW4o+RTyIlKo8ox1Rp4ZtipDrHM36kx2woRCezXltWAhZJw5wx0dZ3LNqW9xfLARNxe6qBf3um47vTvf7MMArqa9yLjs736Xqyghm77BcF6YLTI7YYJ3CEd8HBw7Zg1lLKixy0g76TOLsWlzWNOy593u/DEcm7/DkTwd+8mdvudSty3OuMtxxo+z0gYUU/7vRwFDO0N8exgYWefyxb+C912y329Gw3jSb/yY0KWvYD+4FiPrHK667cnuPgFn1xshO8P7uWUN+T2ERmHfvxJH8nSMs4cgvBbONsNxdrwSjKAY4CBSYtU1rqTUG8isvZfQos5xOhz+HMf6ksUVoNj1BaN2DLmTReYdUuhpuMnLlnqciOkPkHbbdz4zz3uO/8/Y6dRvtRFyVQMqV30lAsjVK6wE9ZXs3ndbueZUX5EyEhSNXfmYBf2J+fFnV9L3+SXvforYb04rdEEt0capXYSs/RjTFkLm8D9inN5LxBe3Yku7cGF0711CxKpPSL/xE9y1W7Ap2Xq9U8d8u/MKn/Ebn9lUzIgYnLFjyI4fh7tJj0LGR+cSUZvshF8RuuY9q5zZaUR8k/9HtVcxp/cNWfUOoYtf9s7K4qofjxlZD/uRjRiZKYRsnYlj9yLSr3oDd7Oi71z7q9SfSbEU8H0os6+e6ZvGoMDvec6q2s3JHPcymXleN+wOHJu+wX5kgxVQetxhTVP9w+987vg4ds7FsfVH0q/7QAFEpLyVZawr4rpQPBUX69i7BMfGqaTf+IlfydK/+MrkX70fpXe9VeCZPT2yDtntR5fpdd1+cDWRH11JxhVTcLUcWPIdmSYh6z6/8DS0BtmdrvI+j4s1WLjIZMtWK0l9bkbqCcKn3o3t7CHva5nD/3AhF08uEf+7BdvZg97n7hqNLlSOGpQ00Wdhyum7V8y/BXfDTmRc/XaB60JX/gfb2UO4mvbCGX85IWs/Jmz+8z7bOLb/hHPXfDLGvVzGvwVEAqyaxJWZxh9oHrWXTwb8ivBVF4ZaFzeuQBnUF3LlrfJwthpM5qi/gd1B6NxnvZMEGBkphKz9iKwhE/Md39M0dDozBkfXMdgTKll9Je+OSlBfAXAkTVV9RcpMUNzSMvMkJTec+b/6hjPjwva5htyZoTUL3KawfZlhNfJtU2CZ8m6Xd9/59utfHo2wec9huLPJ7vErzDqtCZv/PLa0E9YU2r+aRtqvpkF4NLa0E4TNf4Fjx+HkSbDbIK6IBv3cXWXdkfXIHPokmUMex920p98XyazBj5Hd6eoC17nz5g3JnUT3Iux7lxK26F/ehq7MAY+Q/qtpZFz7X1Lvmom7RkPrHLLOE/7Tn8Ht8nvfp08XfiEti8+kMHn/vy/2nS3oPYXuOzTPdhf77oVe/DttpqcQuuglADKH/QFMN+E/P43hduJq2JnUBxaTcelkAOyHEgnJNXWyiJSN8ox1Zq7eQ9Z7gz/WmWE1vbHuYpI2mSRvBluuS7c7sh72y54p8XU9u9ddnP/tZs7/OpHUO37wTn0OYGSlEjbrSchOL2IPRbPvXogt5UIKgOxOV0OuRMCemL51m+/7jHOHifjiVp9hlZmDJ+LsdnMhR8oV62q3IHPkn8ka9GiZNHTliy8FfGfzfmfyxbBC9132v9+MM/sJWf0upmEnc8SfMc4d9Q55crYZzvkHl5E58FEAHNtnYy+gZ59IZVJd48r8pFY83nky0baTJY4rHqWuLxTwOzxz6OOYNRtiRtYlK88EGfYDqwo9/hlnXV7c9ATfZ/++8tVXsktfXyHjrOorUqaCo7ErppXPcyMn94OXM9NnBpDc2/u8NyMlX1I947zvvvIeqzDuvGU6f7zI/br9uHtg3/YTjr1LcUc1IKvf/4EzE/veZQA4212Cu3487vrxGB2sJO32vUvZkmSdT5s2EB5e+AXP2byv9yJiSztB+KwniHprEGE/Pm7N0pKrNbxQNgeZY54n7eYvyOpzH9nx48judA0Zl/yVzNG+d0Xd9f3/EZ17JieA7Nw/2CNicLYbdaEIZ/ZipPiflGvJssLXlclnUgizVnPMXLOC5P0+gO/32LQ5/J6FLN93L8/fQ97nebcvcJ+//B1b+imcbYbjajMU++FEjHSrC3Z2wgTMyLo4O47HnZMDwLFzrl9lFRH/lWes4+xRn6eVIdY5c2b5te9detGEuF9+bVUGTtfu43Ndd019uPTX9ZBwzDptyBr6uG88Sj2B/fCGIt54kd3mSkxvYpCd4NtYlTdJPWD1gPvfBG8uFNOwkTFykjW0oxCuVoMx7dbQFNuZfUR8+xBRbw8mbM5fsO1fWareGfm/H0XHOneNRn7nZiuP329h85/HcGWR3e1m3PVjse9Z5E3endXzDqsXe887vQn6FeuksquOcSWt14NsTsqkX/2lQMnjikdp6wvuWk19JgEAMGu1uLAcVd9noi4jI8Vn29zHr+04yfM9nuTqHYMrXX2Fc745xkpSXwld+orqK1KmgqKxy9WwM6btwswQtqPJPuttx5J9Wr1djbvlWk7wLhuY2I7lfe+FmUNMW0i+mYQK4861X7CmTPV5ftR3RhJXnu3zyc4gbKFvDgkj/Yz3R5iZazYjI2d6XsOdzZ4t1h/4xZLTZ/d/iNT7F5Fx2Ys4Ww7ENGwY2WmEbJlBxPQHiHp7CGG//BXbwTUX/eHrbtyVrEGPkTn2RTLHPIez6w04dvzsXW9i4Gw9qOgC5VLQhbXI7dNPX3yjHIsWF34uZfmZ5OMIw10/3vvUdnI7uHIFVVcWthPbvU/d9Tv4PY29O89sJvajF/nuFZDoMjfb8a24V32IaQ8lc9hTgDVExiN3AnzT08uukHwDIlJy5RnrzEMXGmUqS6zzXm/c2QXmcvQ4ctRkwQJrue7Vvtd1yvK6Drjz5Hkx0k8WsmXRjDP7sOeenavVIMwY3xkBY2obNMj5OLZtB9uJ7UR8eSu2c4cB6/8x87J/FNGjy5J5ydOkPrCIjEv+iqtJd+v4GSmEbPySyK9uJ/K/Iwhd8GK+74w/zNotcOdKZp/3+2GcP+aTn+Zi8Si3sv79Zt+1AMeu+bgj6pA14NfWftNyx7qcD9sRihleO996kcqoOsaVrXuiCHOdIcRmNQKVJK747L609YXQKNx12/m8lDthPa4sn17CZmSdQo9/rsFAXKaNcFvlq6+Yhzb6PC9JfSVk/f9UX5EyFRSNXYRH42oz1PvUvn85Ns8fiGkSuuYDn82dHa68sNzxCp91oWve914IbEc3Yd9/YQy2q81Qa0aSHI5N06jxUgfvv9zbuuu1x5VrCIBj60yMnB+gOLN8uk2a9hCcsZcWeYqhK9/OySHRE2eHcdb7wmp47wT4XJDTrESHJgbrt1pDHjoVlZzeIyQcZ4dxZFz7Dmn3zCVz0G9x5cymYaSfJmT9/4j84lYi3xlJ6KJ/YaTmudNyeje2Y5t992m6CVn7EY6NX3lfcrUeku9He8SXt3k/x8h3RvruIueC5C3mxi8vPEk/jWPHHN/t/ZxhBGDXLti3r6ix/6X7TIqS+3toZKUSsuHCeYWs/wIj1xTDzg6+39OwWU/5fPdyy469DDPXtMAhiZ94704ZZw/hyBn3D+Bq0AEzT4DNK2zu38DtIrvXXd4Exbm7KBvpZ3Itn85ZX5yZAETEL+UY68zdS7zrKkus815vMDBzDe/L65vpJi439OgO7dsZPtd1x8Q1xbuuZ6USOn8yRp5E7mB9jiFbf/R5zR3te4c78p2R3s8x4svbCi1zyLrPfCqY2d1vLXA7z1DGk0lJRHx5m7fhyHSEk3HlqzjjLy/0GD7CauLsegPpN31G6p2zyOr7IO7optZ5nT9C6Jr3iPzkWiI/uJyQ5W9AVqp/+zUMnPHjvE9tp3f7TFgTsvo9n83zxrqifhuU5vdbPs4sb16urEGPXdi2oFjndnkTKyvWSaVXDePK2kQ4n10Dt1nyuJJPMeoLrp+ezVdfyHvtc2yanmt5mm+DY/M+hR6fCf9lwpqf+XfyY5yPrFz1Fffyd0pdXzFM1VekbJV5gvqQ5W/g2JVzCzZPwj7H7gXYPrvR+zz9li+8y5kDH8W+ewGGKxvD7STii1txNeuNce6Qz+xC2R2uxF0/zvvcXT+e7A5XELJ5hnWM7T8R8dEVmDWbYD+wypvMzrSHePM0+CtryO+J+PouwJpxIvKjq3A16Y7t1E5suYbaZfe6B/K00udmnNlHyOr3vDkkvEKjcDfshP1okvXjceBvAAP3ViuHhKtBJ9bPti7UHYtITl8Qs2ZDsvvcS3afe/NNRW47d5jQVe/gatwNV7tLvO+xH95I+KwncNdsjLt2CzBs2E7uwJbrgmqGRZM5clKxyuKMu4yQTd94n4ctfhnH1lmYUfWwH97gc/fD2byvzwwlxvljhH/3a+9zW8p+n32/1OcRak0LJaI+ZHe5DmeX68v0MylKdtcbrJnFcoabhM573nthtx1c693OXbsl2V1vLHAfBYqsQ3avuwld8RYA9sPriPzwctx12mI/lOgzy03WkN8XuStH8nfYD66BWk3J6nO/93Vr9s1QDFcWjuRvccZdhu3weu+0wK4ymiRApKoKtlhHJYx19l1Wo4m7YSefXFa5paWZfGedMjdcn/+mjxHduHjXdbeL0LUfErr2QyvW1WkD9hCMc0ewH9/is29X/Xjcjbpc7OPLLzudkE3TvE/dtVviajW4wE3jYg0WLTYZc/QuDOPCTGdmzcaEbPrGJ3Z6ZFwxpcjDmzEtyRr4CFkDfo39wCocydOtmc2y07Cd2kXY0ldxtRnud06vrD73EZI83Tv0JnzGI9Z3NvMc9qNJ3u1cTXvhajPcr31C2f5+C1n9LrYz+3A16oqz87UXypQrloVsmkZmkwQc22Z5c9S4m/Xyu7wi5U1xJb+C4kriOpM0VxQnwzpRP6v4ceViLlZfcC96DVtMnE99Ibv7BEI2/M87qUjY4pesIXY2u0+dwAyrac3KW9j5GgZtujXkg5n3kNHjHh65JbnS1FfM/atLXV9x12ys+oqUqTJv7LKd2Z9v2lYPI/009kKGqJl125Ix9p+E/zjRulg7M3DsWeSzjatZbzIv+Uu+92Ze8jS2c0e8Cf/sJ3dCrou7aQ8lY+yLmDkt9P5ytehP5rA/ELpgMobpxsg8i2P3Ap9tsuPGktX/oSL3EzbPyiGRlTDBJ8iAdQcy/Jv7sKUeI+qdnItWdhqmYWd3m8fIzIQaUdCi+DOGe7kbdSarUWeyhlpjv0OSv8W+e2Gh29vOHfYOo/DZT41GZFz1RrF6XoE1fCOr5x0+d5fsxzdDnpsS7ugm1swlPm/OLvT7BBBfawu4gCMUWpkoSHE/kwI5wki/6k0ivr4T2/mjGJhWw1Lu49RoSPrVbxZ7ppCs/g9hnNlLyNaZANhSDvj8ODANG1nDnsLVon8RO0kldNE/AbBf9lffPCoRMWT3vpfQ5a/j2LOIqDcHQs6UwO6oemT3uqNY5RWpbhTr8iturDNyYl3W4N8Wus9ZP8H589C0CQzoV/R5lFWsA3DHtLYalUqQHNixeYbPlOzZCbcUuh9Pz66IXA1dYPWgsp3eXexj+zAMXM374Greh8wRf8KxfQ6O5Ok+PTD8ElmH9PFvEDH9AYzMcxhuJ459vgkzXXXblWhmw7L4ThtnDxG68r+Yho3MEX/yKYO7XizZHa8iJHk6IRu/xL7zF4yc3vOuum3J7nRNscorUp4UV/LLG1ecTpMNOaPlzvZ6lHrL7i92XCmOguKKY08BcSUkkozxb1qz6OYMj7YfXueziRkWTcYVr2DmGS6fV59eBj/ONFm1Btz/V73qK5lDn1R9RcpUmTd2lYar/WjSbvuW0FXvYd+3zEps54jAXa892R2utO7W2ez53xgSSfp17+NImkrI5u+sscfOdMyoBrha9Cer9135ht35K7vHr3A16U7Img+wH1xt/UgKjcLVsCPOztfhjLusyPfbd83DsXtBTg6JR/Kfc8sBZFz7LqHLXvN2OzZa9SO91wOsSOwDmMTHg81W/B/c+QsTiqv9KFztR0H6aZ8pXMFqPc9KuBX7wdXYzh+FzHPWHfk6bXG2G2kllg+JKNGhs4Y+gav1MGs62cPrrf9bt/PC/tsMsyoEJbwLU2IX+UwuxqzTmrTbZxC6+j3sO37xTv/ujm6Kq91Isnrd5TOMwm82B5mXv4Sr3SgcSV9bebuyUjEj6+Bq2ovsnnfgbtS5yF2ELnsdW+pxnC36E9JpHJz2/ZGUNeBh3FH1rLs9p/dCSBTZLfuTNfh3Fw3EIlJy5RHr7O2Hkdp1QqWKda6mvcjq/zCuFn0L3Kdpmkz9xhr6cf11hv9xsKjremgkGaP+ZsW5o8kYaSethimbAzOqHu56cTjbjbSGD9pLNp15yLrPLpxDSGSRDSpFzbJcpkIicXYcj7PjeIxzh/2bFSsXd9MepN3+PSGr3sGxZxHG2cNgd+COaY0z9lJrmKafeV7ylqu0v9/CFvwdw5lOdufrCuyJlzn6b7hjWhKSNM0698g6ONsMI3PQb0v8m0Yk2FSXuLJ5C2RkQK1oqN9nABlNihdXSixXXKkd6sZ9On8+R3f92At1gl1zsaUcAkzM6CY4Ww0mu+cdmDUbXfRQvXImYdy5E06cNKlX16gU9ZWILd/iPri+VPUVV+zofOtVX5HSMEzTv0x3p08XfDfBXzExMaXeR3Xh+ayen+zmx1lw261w3z3BkV4tmMTExPB/vz7JgoX6jC5Gf3/+835WzizCZlvTRWeOeb7Yd7vKS0xMTKCLUOVUhb+Nqvg3nrjO5NePmkSEw/SpBlFR+Ru7qsJ5X32dm+Mn4PVXDLp19f/GVlU495KorucN5XjuQRLvKkt8qy7fv2D8W/vwY5P/vmsybAg8+0xgfvdXxOdy931utm6DP//BYMzoMujwUAGC8fsSDPS5FCAn5oSGhnJu+NMljjn+xAy1DgSx5Jxc8X4lp6+mhgyyPpuFiy+yoYiIVCrTv7PuxY0aRYENXVVFXM6Iz61bA1sOEZFgl7jOigvdu1fdmADWhCwA6zcWf1ZhEblAjV1B6tw5kz1WHsFiJ6evTvr3B7sd9uyBffsVEEREqoLTp00W5KQluerKql2piYu1zm/rNsUwEZHCZGWZbMyZE6N7QkCLUu66drHigic/mYiUjBq7gtSWnDu8jRtDTO2q/UO/NKJrGt67HwsXFb2tiIhUDjNng9MJHTpAbPuqHQM9ebu2bgtsOUREgtnmLZCZCbVrQ+tWgS5N+eqck+Zqzx5ISdGNEJGSUmNXkNqUbD129G9m8GptyOCcoYyLFAxERKqCn3+xrueXX1q1G7rgQmPX3n2Qnq44JiJSkNVrrOtjzx5glGCm3MokprZByxbW8sZNgS2LSGWmxq4glbzZuqB36lC1L+ZlYfBA6zF5Mxw/roqCiEhltm+fybbt1hD1YUMDXZryV7euQb16YJqwfUegSyMiEpxWr7Eee/esHnWjrjmTy25Q3i6RElNjVxAyTZNkT88u5eu6qHr1DDrlfE5LlgW2LCIiUjpzcnp19e0NtavJMP7Y9tajhjKKiOR3/vyFulGvnoEtS0Xx5O3aqLxdIiWmxq4gdOCgmzMp4HBA+3aBLk3l0L+fFRBWrNDdDxGRyswzu+6IEdWjoQty5+1SDBMRyWvdenC5oVkzaNSoesQGT88uK1eZYoNISaixKwht2OgErIausLDqcUEvrX59rcfVayE7WwFBRKQyOnLUZOdOsNlgQL9Al6bixMXlzMi4NcAFEREJQqtWW7/tq0uvLoAmTaB2LWuylp27Al0akcpJjV1ByNPYpeT0/ottDzExkJ6Od1piERGpXJYttx47d4Lo6OpzsydeSepFRArlzdfVq/rEBcMwiI+3ljdvDmxZRCorNXYFoQ0brMauTh2rzwW9tGw2g759rOXlGsooIlIpLV1mXb8H9K9e8a9ePYO6dcDthh07A10aEZHgceyYyd59Vo/f7gmBLk3F6uBp7Nqquo1ISaixK8hkZZls3qKeXSXRr49VOVq+IsAFERGRYsvIMFmz1loe0D+wZQmEC3m7AlsOEZFg4unVFRcH0TWr142QDvHW+W7ZEuCCiFRSauwKMjt2QnY21IqGpk0DXZrKpU9v667Prt3WXSAREak81iZCVhY0agitWwW6NBUvLs563KYk9SIiXqvXWNfE3tUoX5eHp2fX3n2QmqrYIFJcauwKMsk5Y7I7dLDGaov/oqMNb2XB0ztAREQqhzWJ1g/5Pn2qZ/yLbZ+TpF49u0READBN09uzq1fP6hcXYmIMGjYE01RsECkJNXYFmeRk68d+xw7V74JeFnr1sB5Xr9XdDxGRyiQx0XrskVA9459nGOOePZpmXkQErNEap05DeLg1cUl15M3bpaGMIsWmxq4gsynZeuzUMbDlqKx69rAqSWvWWneDREQk+J09Z7J9h7WckBDQogRM/frWrMIuN97PQkSkOlu12nrs1hVCQ6vnjRBP3q7NW1SvESkuNXYFkTNnTA4espY7KDl9iXTpDKEhcOIE7NsX6NKIiIg/Nmywhmm0bAH16lbPCo1hGEpSLyKSiydfV3Ucwuihnl0iJafGriDiuYi1ammrdrONlJWwMIMuXazl1crbJSJSKazNyddV3aaVzys+J++k7uCLSHWXkWGSuM5a7t0roEUJqLhYMAw4ehROn1ZsECkONXYFkU05+bq6dg0JcEkqN89QRk/lSUREgpunQtO9mubr8ujUyTr/pE0BLoiISICtXguZmdCwIbRtE+jSBE5UlEGL5tbyFvX6FSkWNXYFEU++rm5dHYEtSCXXMydJ/dpEcLnU4CUiEszOnzfZsdNaTugW2LIEmidf54EDcPqM4peIVF9LlljXwEEDqucMvbl5h7hvDWw5RCobNXYFCbfbJHmztdytixq7SiMuFqKi4Nw5JfkVEQl2W7Za+boaN4K61TRfl0d0TYNWrazlTerdJSLVlNttsmSptTxoYPWOCwDxcdZnsHWrboKIFIcau4LE3n2QmgphYdC+vT3QxanUHA7D2ztgjfJ2iYgENU++Sk3MYunSyXrcmKRKjYhUT8mb4dRp6+Z1de/xCxCXk89xi3p2iRSLGruChGcIY4d4q7FGSseTt2vNWlUWRESCmScZu+fOdXXXubPydolI9bZkqRUX+vWBkBDFhvbtrCT1x0/AyZOq24j4S41dQcKTnL5jxwAXpIrolZO3a/0GyMpSUBARCVZbcnp2dVTPLuBCz67NWyA7W/FLRKqfxUusx4EawghAZKRBy5bW8lYlqRfxmxq7goQnX1enjrqol4XWraFOjDWLi6fXnIiIBJcTJ02OHQebDWLbB7o0waF5c4iOhqws5Z0Ukern4EGT3XvAboN+fQNdmuARr6GMIsWmxq4gkJZmsnu3tdxJd7bLhGEY9PDOyqg74yIiwcjTq6tVS+vOtVjxq3NO766kpMCWRUSkonkS03frZk3aIZa42Jwk9dtUrxHxlxq7gsCWreB2Q8OGUK+eLuplpWd3T96uABdEREQKlLw5J19XfIALEmS65OTt2rBRlRoRqV4W5+TrGjRAdaLc1LNLpPjU2BUEPMPsOilfV5nq2dN63JRs9Z4TEZHg4vnR3jFelZrcPLOPJa4Dt1vxS0Sqh7PnTNavt5YHDghsWYJN+3bWkP+TJ+HECcUFEX+osSsIeJLTK19X2WrS2KBxI3C5YMPGQJdGRERyM02TzTnDGNWzy1eHeIgIh5SzsHNXoEsjIlIxli8Hlxtat4KmTVUvyi083KBVTpL6LUpSL+IXNXYFmGma3pwc6tlV9pS3S0QkOB08COfOQUgItG0T6NIEF4fDoFtO7661iYEti4hIRfEOYRwY4IIEKc9Qxq1bVa8R8YcauwJs7z44kwKhoRAXG+jSVD09e1h3hVYrb5eISFDZnDOEsX07CAnRHfy8enjzTqpSIyJVX3a2yfIV1vKggYoJBYmLsz4X5e0S8Y8auwJs/QbrsVNH/dgvDz26W4/bt8PZs6owiIgEi805yek7aAhjgXrm9Exetx6cTsUvEana1q2HtDSoE6O4UBhPx4itW63RQSJSNDV2BdiGDdaFqlvXABekiqpX1xrfbpqQuD7QpREREQ9Pvq4OHXSjpyDt2kLNmlblb6vys4hIFbd4iVUnGjgAbDbFhYK0bwd2G5w6DcePB7o0IsFPjV0Bti6nZ1e3rrqolxdP7641a3QHREQkGDidJtu2W8sd4gJblmBltxt0T7CWlbdLRKoy0zRZvNRaHqghjIUKCzNo3dpa1lBGkYtTY1cAHTlqcvSo1UKv5PTlp2dPK2iqsiAiEhx274HMTIiKgubNA12a4NUzJ2/Xat2sEZEqbMcOOHoUwsKgV49Alya4xeXcINqiJPUiF6XGrgDakNOrKzYWIiN1F6O8dO8GhgF79sKJEwoMIiKB5hnCGB+n4SpF6d3bely/AdLSFL9EpGry9Orq3QvCwxUTihKfk6Rew9tFLk6NXQG0PidfV1fl6ypX0dEG7dtby+rdJSISeJu3WPEvXkMYi9S8GTRtAk4nrF4T6NKIiJQPT76uQQPU0HUxnripJPUiF6fGrgDyzMSYoHxd5c7TJXpNooKCiEigbd5sPXZUcvoiGYZB//7W8rIVil8iUvUcO2aydZs1CmNA/0CXJvi1aQ12O5xJsYZ+ikjh1NgVIKfPmOzZay137RLYslQHPXLynqxZo7sgIiKBlJFhsnu3tRyv6eUvqn9fK34tX674JSJVz9Jl1mOnjlCnjm6AXExYmEHbNtayhjKKFE2NXQGydq312LYt1KqlC3t569rFugty5CgcOhzo0oiIVF/bd4DLDXXrQIP6gS5N8EvoZiVtPn4Cdu4KdGlERMrW4qVWI/5ADWH0m5LUi/hHjV0B4plZqVfPABekmoiMNLwzXnoaGkVEpOJ5hjDGx1vD9KRoYWEGPXOG4i9bHtiyiIiUpbQ0kzU5v8sHDQxsWSqTuFgrdm7ZGuCCiAQ5NXYFgGmarFptLffqqR/6FcVTWVi9VndBREQCZXPOnegO8Yp//urfz/qsli1X/BKRqmPlKsjOtibiaNUy0KWpPDxJ6jdvAbdbcUGkMGrsCoBDh6zhdA4HdFO+rgrjydu1NlF5T0REAsXTs6uD8nX5rV8f6zFpE5w9p/glIlWDZwjjoIHq6Vsc7dpCRDicPw979gS6NCLBS41dAbAqZ/rwzp2s4XVSMTp1tPKenD6NNzmyiIhUnLNnTQ4ctJbV2OW/xo0NWrUCt9tKVC8iUtm5XCbLcpLTK19X8TgcBh1z0rNs2BjYsogEMzV2BYAnX1fPHrqwV6TQUINuXa3lFasCWxYRkerIk1+kaROIjlYMLI7BOflsFi1Rzy4Rqfy2boOUsxAVpZnpS8LzmW3YqJggUhg1dlUwp/NCIkYlp694/TxTuK9QYBARqWibt1iP8erVVWyDB3niF2RmKoaJSOW2MufGc4/uVk8lKZ6uXazPTD27RAqnxq4KlrQJzp2D6GgN4QiE/v2sx/UbrBlgRESk4mzeYl13O3ZQxaa44uOgfj1IT7dyT4qIVGarVlvxoG9vxYOS6NQR7DYrD/TRY6rTiBREjV0VbOky62LUv6/uYgRC82YGTZuA0wmr1wS6NCIi1Ydpmhd6dsUFtiyVkc1mMGiQtbxwsSo2IlJ5paaaJG2ylvv0CWxZKqvISIN27azljerdJVIgNXZVsCVLrccB/dXQFSie3l3LNJRRRKTCHD0GJ09ad6LjYgNdmsppSM5QxsVLrOTOIiKV0dpEcLmgWVNo0lh1opJS3i6RoqmxqwIdOGCydx/Y7dBXdzECxpO3a8UKq6eBiIiUv+TN1mPbthAerspNSSR0gxpR1qzCGzY6A10cEZESWbHK+v3dp3eAC1LJefJ2rVfPLpECqbGrAi3NmV43oRvUqKEf+oHSPQFCQ+HYcdi1O9ClERGpHpKTPfm6AlyQSiwkxKB/f2v5l3lZgS2MiEgJrcpJTt9H+bpKxTPL/M6dcPqMbuCL5KXGrgrkmS5cQxgDKyzMoGcPa3n5isCWRUSkuvD07OrUUTGwNDyzMv4yN0u9k0Wk0jl40OTgIWukS4/ugS5N5VanjkHbttbyGuUiFslHjV0V5PRpk/UbrOUhg/Kv3717N5MmTeLyyy+nc+fOXHXVVfzzn//kzJkzfh/jueeeo1+/fvTr149169blW+92u/nPf/7DuHHjGDp0KA8++CDbt28vcF9Op5MJEyZw7733lujHtKccRfn+++/p168fzzzzTIGv5/43bNgwxo0bx4MPPshrr73Grl27ir1fn/LlDGVctlwVBRGR8uZ0mmzevAdX1tNM+fc4Bg8erDhXwjjXrw8Y/MCubf144om/FbvcIiKBtHI1mO49RIU/zfXXKx6Utt5Tt/YPODMG8Pbbigcieamxq4IsXAxut5WUt3GeRIyrV6/mzjvv5KeffqJGjRoMHz6c0NBQvv76a2677TaOHTt20f2vWbOGGTNmYBiF3zH/+OOPee+994iKiqJ3794kJSXxyCOPkJqamm/br776it27dzNx4sQi91memjVrxtixYxk7dixDhgyhTZs27N69m08++YRbbrmFiRMnFlh2f/Traz1u3Ahnz6nBS0SkPM34fjXp5+/CdP9ErVo1GDhwoOIcF49zf/nLX/KVPTLSoHVLa/noxT82EZGgMnvWKlxZd3HqpFXvUTywlCQeALRuZZX3xAnlIhbJyxHoAlQX8xdYF59hQ30voBkZGUyaNImMjAzuvvtu7r33XmJiYjh16hSvvfYan376Kc899xxTpkwpdN+ZmZlMnjyZNm3aEBUVxcYC5p91Op188skntG/fnnfffZfQ0FBmzZrF008/zfTp05kwYYJ325MnT/LOO+9w1VVXERcXuPnhu3btyqRJk3xeM02TJUuW8K9//YsZM2Zw4MABXn31VRyO4n2VmzYxaN3KZPceWL4cRo8qw4KLiIhXRkYGr736FyCDZs3v4osv7gOs67niXNFxbvbs2Rw7dixfnIuNNdi2FY4eregSi4iU3Pnz6axf9zSQwfjxd/HUU4oHHiWNB82bW48ZGbB3H7RqWZGlFglu6tlVAVJSTNautZaHDfVdN2/ePE6dOkXLli25++67va8bhsGDDz5I48aNWbFiRaHdbgHee+89Dhw4wOOPP15oo8+hQ4c4d+4co0aNIjQ0FIDRo0cTFhbGtm3bfLZ9/fXXcTgc3H///SU42/JlGAaDBg3i3XffpUGDBiQmJjJ16tQS7WtwznBSTy41EREpe/PmzSM19RQYLRhz6V3e1xXnCpY7ztWvX7/AONcuJ0dLSgocO6YYJiKVw6efzcc0T2Gzt+D3v1e952L8iQe5P4JVqyu4gCJBTo1dFWDxUnC5rR+nzZv59uzaunUrAAkJCdhsvv8dDoeDrl2taTYWLlxY4L537NjBp59+yrhx40hISCi0DOfOnQOgZs2a3tdsNhtRUVHedQAbNmxg5syZPPjgg9SqVcv/k6xgderU4ZFHHgGsrscl4Unyu3wFZGWpsiAiUh48cc6wJdCpo91nneJc4erUqcO9994L5I9zNWpcWF60uCJLJSJScitXbgGgSZMEHA7FA38VFQ9yW7VK9RmR3NTYVQEKG8IIkJ6eDvhejHPzXHgLusPhdruZPHkyNWvW5OGHHy6yDI0aNQJg37593tfOnj3LmTNnaNiwoXd///znP4mPj+fKK6+82GkF3GWXXYbNZuPAgQN+je/PKy4W6tWD9HRYk1gOBRQREVJS0nOWatKhQ/71inOFGzly5EXj3IJFqtyISOVw6LAVD1o0jy5wveJB4fyJB2vXQWamYoKIhxq7yllKiuntUpp3CCNA7dq1AThy5EiB7z906FCh67/++muSkpL49a9/fdG7EXXr1iUuLo4ffviBdevWcfbsWaZMmYLb7WbgwIEAfPPNN2zfvp2JEyfm62UWjGrUqEGTJk0AazbL4rLZDAYNsJYXL1ZgEBEpD5lZtQGIijxCTO38N30U5woXFRV10Ti3bj2cPqMYJiLBLSXFJCWlNgB2u+o9xXWxeBAeYeXtWrWmoksmEryUoL6c/TIPnE6IbQ+tWub/kd+9e3c+/PBDli5dypkzZ7yNXwDHjh1j1apVAKSlpfm879ixY7z11lv06NGDsWPH+lWWRx55hEcffZQHHnjA+9qAAQMYNGgQKSkp3ul5O3Xq5F2fmZlJSEhIiYPAxabhLa3atWtz4MABzp49W6L3Dx5kMP07k8VL4HePmdhsgZmBRUSkqjLpBkBG+jLFuRIoKs5FR0NqBixeDFeMK9diiIiUyuo1gJEAfMSaNar3lERR8aBhAzhwGBYtNhk0QPUZEVBjV7mb/ZN1t3XM6IIvOn379iUuLo6tW7fy2GOPMXHiRLp3787GjRuZPHkyTqcTIN80uC+++CLZ2dk8/vjjfpelZ8+efPjhh8ycOZPz58/TqVMnLr30UgDeeOMNAB566CEAVq1axUsvvcTu3bsJCwvjsssu47HHHiMsLKxY519UQDpw4AAbNmwo1v7y8kyxW9JpgrsnQGQknDwFm7dAp46lKo6IiORx7HhfMOJwOi/EudatW7Nz507FOT8UFecaNYKde2D+QpMrxqlyIyLBa+VqE8PWlzp14jh1SvGgJIqKB57GriVLweUysdsVE0TU2FWO9h8w2ZQMNhtcMqLgbQzDYPLkyfzud79j8+bNPjMy1qlTh3vuuYe3336b6OgLY9vnzp3LokWLuOuuu2jVqlWxytSmTRvvhd1j8+bNzJgxg9/+9rfUrl2bY8eOMXHiRNq2bcsLL7zA7t27effddwkPD+fRRx8t1vHyTqGb2/fff1/qi35KSgqAz+dTHKGhBv36msydB4uXmHTqqMAgIlJW0tJMtu8wsIc+T9OGv1ecK4Gi4lyjhlZj15q1cO6cSc2aimEiEnxM02TlSqve88hvXuCjDycqHpRAUfGgTh1r8pIzZyBpE3TrWqpDiVQJauwqRz/NsVrfe/eCunUL/wHauHFjPvroIxYsWMDGjRsxTZOmTZsyZswY5s+fD0Dr1q292y9ebE29tHLlShITfTOrexI6vvTSS0RFRXH55ZczblzhYxtM0+TFF1+kXbt2XH311QBMnTqVrKwsnn32WZo0acLw4cM5cOAAU6dO5YEHHiA8PLz4H0Y5OH/+PAcPHgR8P5/iGjzIYO48k0VL4P57y6p0IiKyMQncbmjSpDGffXwhzmVmZtK6detSx7n33nuP0aNHV9k4l5qaWmSci4qCVq1gzx5YsgwuHV2x5RMR8ceevXD8BISGwvBhjblkZNnHg6pe77lYPDAMGNgfZs+xhjJ266qbHyJq7Conpmkye461XNgQxtwcDgcjR45k5MiRxMTEcPr0aQA2btwIQI8ePfK9JykpqdD9bdu2rdD35TZjxgw2b97MW2+9hd1uTQG8Z88eateu7U2CCNCxY0d+/PFH9u/fT/v27S96PhVh5syZmKZJixYtqF+/fon3068P2O1WZWH/AZPmzRQcRETKwroN1k2fhK6+cS630sa5Ll26FFmGyhznfv7554vGuWFD4IM9sGCByaV+/N4QEaloK61UXCR0g7AwAyifeFCV6z3+xIPBgwxmzzFZuBgeetAscZoXkapCjV3lZGMSHDoEEREwZFDJ9nHy5Enmzp1LrVq1GDZsmPf1SZMmFdpN9sEHHyQxMZG33nqLhISEIvd/7tw53nzzTS677DK6devmsy4zM9PneUZGBkDQzFZy6tQppkyZAsANN9xQqn3VrGnQPcFk9RpYtBhuuaksSigiIuvXW4/duhX8g7u0cW748OHem0MFqexx7r///S9QdJwbOsTgg49MVqyyho1GRqpyIyLBZeUqz2iXwq9PqvcUzt940Kc3hIVZddCtWyE+vqJKKBKcguMvuAryJKYfNgTCw4v+4blz5858F9ljx47x+9//nrS0NB555JFy6UL79ttvk5WVlW8se5s2bUhLS2PhwoUAOJ1O5s6dS2hoKE2bNi3zchSHaZosXbqUu+++m+PHj9OrVy+uuuqqUu93yGDr/2jBQk3fLiJSFjIzTTZvsZbr1Fac81fuOHfixImLxrl2baFpE8jKguUrK66cIiL+yMw0WZdz46Nvb9V7iqO48SAy0mDgAGv557mq04ioZ1c5yMoymTvfWvZnCOOnn37KggULiIuLo169epw7d441a9aQlZXFXXfdxeWXX17mZdy+fTvTpk3j17/+NXXr1vVZd9111/HFF1/wpz/9ib59+3LgwAF2797NbbfdVqHj1jds2MAzzzwDWIEnJSWFrVu3cubMGQDGjx/PI488gsNR+q/xkMHw8hTYlAxHj5k0bKA74yIipbFhI2RnQ/168PPPn/HnP1+Ic6dOnWLDhg2KcxeJc5dddhkTJ04sMs4ZhsHQoSaffW4NZRwxTPFLRILHho2QmQn16kHr1vC3v/nWexQPLGURDwAuGWHlIp47D/7vARObTTFBqi81dpWDRYvh3DloUB+6J1x8+6FDh3Lq1Cm2b9/Ohg0bqFWrFv369ePGG2+kZ8+e5VLGf/3rX7Rq1Yrrrrsu37q6devy73//m1dffZXly5dTo0YNJkyYwH333VcuZSnMgQMHOHDgAABhYWHUrFmT1q1b06lTJ8aOHUvPnj2LHL5SHPXqGnTtYrJ+AyxYCDfk/1hERKQYvMNWesPAfr5xrmbNmopzXDzOtWnTxq/9DBti8NnnJkuXW70orJw4IiKB54kFfXp5GucVDwpSVvGgbx9r8pJjx620OpqVUaozwzRNv/o4lrZRIXfS9arusYluVq2GO26De+4q/kjR6vRZlUZZf05fTTWZ8qpJ1y7wxqtVa4SvvlP+835WzizCZv8BgMwxz4MjNMAls8TExAS6CFVOVfjbCMa/8dvvdrNzJzz9Z4NLRpZP40swnndFyX3upmly7Y0mx47B5OcMBg2suo1d+j8vh3MPknhXWeJbdfn+ldX3zRML/vJng1HlFAsqUmW4Bj33gpuZs+Gaq+C3j1ZMnaYyfC6BoM+lADkxJzQ0lHPDny5xzPEnZlStGn0QOHzYSnQOMPayyn9Br06GDrYeNybBiRMa5y4iUlInTprs3GlNhd6rfG7USy6GYXhj2HzlnhSRIJE7FvRWLKgwI0dYddB5C8DpVEyQ6kuNXWXsx1kmpgk9e0CTxmrsqkwaNDDo3AlMExYsCnRpREQqr1Wrrce4WKhdW7GwIgwban3Oi5dAdrYqNyISeCtzJs2Iba9YUJF69YRa0XD6NCSuC3RpRAJHjV1lyOUy+WGmtTzucl3QKyNPZWH+AlUURERKalWufF1SMTp3gjoxcP48rE0MdGlERGD5SisW9Osb4IJUMw6HwfBh1rJmZZTqTI1dZWj1Gjh2DGrWhCGDAl0aKYlhQ6zH9Rvg1CkFBxGR4nK7TVblDOfv00s3fiqK3W4wREMZRSRIOJ0mK1dZy/36KhZUNM9QxgULIStLMUGqJzV2laHvf7QuJGNGoZmQKqlGjQw6xIPbDQsXB7o0IiKVz7bt1tCJiHCrt5FUnKFDrN8eixZbvc1FRAIlebPV0zQ6Gjp2CHRpqp+uXaBePev/YMXKQJdGJDDU2FVGzpwxWZTTOHL5WDV0VWYayigiUnKLl+RMM98HQkIUDytS9wSrYnnmjNVDWUQkUJavyBnO3svqeSoVy243GDnCWv7pZ9VppHpSY1cZ+WkOOJ1WMt727XRBr8yGDbUeExOtRkwREfHfoiXW46CBioUVzeEwGDTQWl6goYwiEkDLc3oTaQhj4Iy+xPrslyyF1FTFBKl+1NhVBkzTZMYP1gVEiekrv6ZNDGJjweW2ZrUSERH/HDpsTTNvt8GAfoEuTfU0PKd38rz5mnJeRALj5EmTbdus5b6aqCRgYttDyxaQlWXl7hKpbtTYVQaSN8PuPRAaCpeMCHRppCx4Kwsayigi4rfFOcP5u3aFWrV08ycQeveC2rXg1GlYszbQpRGR6mjpMusxPg7q1FEsCBTDMBiV07tLQxmlOlJjVxn4PqdX1/ChULOmLuhVwdCcWRlXr4GzZxUcRET8sSgnX9dgDWEMGIfDYMRwa1mVGxEJhAWLrGvPkMGKBYE26hLrcW0inDipmCDVixq7SuncOZOffraWr7xCF/SqokVzg7ZtweXSUEYREX+kpJjepOiDBgW2LNXd6FHW75GFCyE9XZUbEak458+brF5jLQ8dHNiyiJWepXMna6b5uXMDXRqRiqXGrlKaORsyM6FtG2uKV6k6hmtWRhERvy1dbv2YbtsWmjTWzZ9A6tQRmjSB9AxYvDTQpRGR6mTpcmvSrlYtoWVLxYJgoKGMUl2psasUTNNk2rfWRePq8QaGoQt6VeKZlXHlag1lFBG5mEWLPUMYA1wQwTAMRucMXZkzR/FLRCrOwoWeIYwBLoh4jRhuTRyzZSvs26+YINWHGrtKYc1a2L8fIiNh9KhAl0bKWquWBu3aWnen5i0IdGlERIJXZqbJylXW8uBBuvETDDxTzq9YCafPqHIjIuUvI8Nk+UpredhQxYJgEVPboE8fa3mOendJNaLGrlLw9Oq6dDRERuqCXhV58p4oMIiIFG71GsjIgAYNrKnOJfBatDCIjwOXG+bOC3RpRKQ6WL7CigWNG0H7doEujeTmHco4xxqdJFIdqLGrhI4dM71TrF81Xg1dVdUlI8AwYN16OHJUgUFEpCALcoatDBqAhvQHEc8Nm5mzFL9EpPzN/sm61owcoVgQbAYPhIhwOHgIkjcHujQiFUONXSU04wcTlxsSukGb1rqYV1UNGhgkdLOW5/wc2LKIiASj7GyThYus5eHDFA+DyehLICTEytOyfbsavESk/KSkmCxbYS2PGa1YEGwiIgwG58yUrBErUl2osasEnE6T72ZYy1dfpYt5VefJe6LAICKS36rVcD4V6tbVrMTBpnZtgyE5lZvvflAME5Hy88s8K89tbHto3Ur1o2A0Kqe3r/V/pZggVZ8au0pg4WI4eQrq1sH7I1KqrmFDrTvju3bDjp0KDCIiuc2db10Xhw8Fu10VnGAz7vKcGzZzrOTRIiLlYdZs6/qiXl3Bq3dPqF0bTp+2cm2KVHVq7CqBadOti/kV4yAkRBf0qq5mTYP+/azlnzSFu4iIV1aWyaKc/JUawhicevaAxo2t3neaWVhEysOOnSbJm8Fut/LdSnByOAxGDLOWNWJFqgM1dhXT7j0mievAboMrx+mHfXXhuUs1c7aVn0ZERGDlKkhNhXr1oEvnQJdGCmKzGYwba8Wwb79T/BKRsvftDOvaMngQ1K2r+lEw80xcsnARpKcrJkjVpsauYpr+rXVRGDjQSl4u1cPA/taw1dOnYcnSQJdGRCQ4zJ13YQijzaaYGKzGjbWG4ydtgk3JqtyISNlJSzOZ/ZO1fNWVigPBrlNHaNIE0jNgseo0UsWpsasYUlNNZs62lq8er4t5deJwGIwday1/970qCiIimZkmi5ZYyyOGKyYGs7p1De/Qoi+/VgwTkbLz81xIS4NmzaBH90CXRi7GMAxGjbSW5yg9i1Rxauwqhh9+tC7mLVtYOTCkerkiJ8nvqtVw6LCCg4hUb8tXQno6NGhg3SmW4HbD9VYMmz8fjh5TDBOR0jNN0zvqZfwVhnr4VhKemeZXrIIzZxQPpOpSY5efXC6Tr76xLgbXX6eLeXXUpLFBn95gmvC9pnAXkWrOk9x2+DANYawM2rcz6NEdXG6YOk0xTERKL3EdbNsOYWEw9tJAl0b81bKlQWwsuFwwd36gSyNSftTY5afFS+DwYYiOhktHB7o0EiieSQm+/8GahUxEpDo6d85kaU6uj0tHqaGrsvD07vpuhpVnR0SkND793LqOXH4Z1KqlWFCZeHp3aVZGqcrU2OWnL76yLgRXXQnh4bqYV1eDBkKD+nDqNPw0J9ClEREJjAULISsbWreCdu0CXRrx14B+Vl6d8+fh2xmBLo2IVGY7dpqsWAk2G9x4g+pGlc0lI8AwYGOS0rNI1aXGLj9s2WKyYSM4HHDN1bqYV2cOh+G9M/7Z/0zcbgUHEal+Zv1kXftGjzIwDMXFysJmM/jVhAsxLCNDMUxESubzLy7Mxtu0ieJAZVOvnuGdUGDOz4Eti0h5UWOXH77Imblo5AioV1cX8+ruynFQIwr27YclmrJXRKqZI0dN1q23lkddEtiySPGNGQWNG8Pp0zD9u0CXRkQqoyNHTX7+xVq++SbVjSqr0aMuDGU0Td38kKpHjV0Xcfy4ydx51vKN1+tiLhAZaTD+Smv5s/8pMIhI9eIZwt09ARo1VFysbBwOg9tvtf7fPv1cvbtEpPg++dTE5bJmp4+PUxyorIYOhtAQ2LMXtu8IdGlEyp4auy7i62+si3lCN4htr4u5WK6/1iAkxBrnvjZRFQURqR7cbpMZObPRXjpGMbGyunQMNG5k9e76amqgSyMilcnhwybf/2gt33m74kBlVqOGwYAB1vJPc1SfkapHjV1FOH/e9Hbxv0mJFyWXevUMxl1uLb/1H3X9FZHqYdVqa2biGlEwcnigSyMl5XAY3H2X9bvm409NTp9RDBMR/3z4sYnTCb16QkI31Y8quwuzMoLTqVggVYsau4ow7VtITbVmmxrQP9ClkWBz+68MwsMheTMsXhLo0oiIlL9vZ1g/hMeM1szEld3oSyA2FtLS4P0PVMERkYs7eNBk5ixr+Z67FAOqgv79oE4MnDwFCxcHujQiZUuNXYXIzDT5Micx/YRbDGw2XdDFV726Btdfay2//Y6puyEiUqWdOGGyJKdhf/wViomVnc1m8PCD1v/jt9/B3r2KYSJStA8+MnG5oV9f6NxJcaAqCAkxuPIKa/mbaYoDUrWosasQP8y0clk0agiXjAh0aSRY3XKTQa1o2LMHpk4LdGlERMrP9z+Cyw1dOkObNqrkVAU9uhsMGmj9v775H1VyRKRw+/aZzM6ZoOTuOxUDqpIrxxnYbbBuPezarVggVYcj0AW4mN27d/P++++zZs0azp49S926dRk0aBD33HMPtWvXLta+tmzZwsqVK9m0aRPJyckcP34cgOXLl/ts53SafJ4zy97NNxo4HLqgS8Fq1jR44D74+z9N3nnPZMQwqF/fYNasWUydOpWdO3dimiatWrVi/PjxjB8/HsPw//t06NAhrrnmmkLX16lThx9//LEMzkREgtFnn33G+vXr2blzJ6dPnyYrK4u6devSvXt3JkyYQLt27Yq1v6uuuoojR44Uuv5///sfrVq1yvd6ZqbpveN71ZWKiVXJg/cZLFtmsngJrFpt0qzpEb788ks2b97MwYMHSUlJwW6307x5c4YPH85NN91EREREiY61YMECpk2bxpYtW0hLS6N27dp06NCBm2++mYSEhLI9MZEq5sEHHyQxMbHQ9S+//DL9+xc/78qhQ4f4+OOPWb58OSdOnCAyMpLmzZtz2WWXce2113q3e/8jE7cbBg6ADvGKA1VJgwYGgwaZLFgI0741+d2jRrnUQbKysvjf//7Hzz//zP79+3E6ndSrV4/evXtz++2307Rp09KeioiPoG7sWr16NRMnTiQjI4OWLVvSpUsXdu3axddff83ChQt55513aNCggd/7e++991i4cOFFt5s7Dw4fgdq14fKxpTgBqRYuH2v1eNiUDK+9YRIZ/g+mTZtGSEgInTt3JiIigo0bNzJ58mQ2bNjApEmTin2MOnXq0K9fv3yv16hRoyxOQUSC1IcffkhGRgZt27albdu2gHUTaObMmcyZM4fJkyczaNCgYu937NiCg1th15RZP8Gp09CgAYxUb+cqpWVLg6uvNvl6Krw0xeT+u3fw+eefU7duXVq2bElCQgLnzp0jKSmJt99+mzlz5vDWW28RHR3t9zHcbjcvvPACM2bMICIigm7dulGjRg2OHj3K0qVLiYuLU2OXiJ+GDx9eYINz/fr1i72vpUuX8oc//IHMzEzi4uLo3LkzKSkp7Ny5ky+++MLb2LV9u8nPv1jvUa+uqunq8QYLFprMmgX33nWhd1dZ1UEyMzN56KGHSEpKombNmnTv3p3Q0FC2bt3Kd999x88//8wbb7xBfHx8qc9FxCNoG7syMjKYNGkSGRkZ3H333dx7770AmKbJa6+9xqeffspzzz3HlClT/N5n586dadeuHR06dKBjx45cffXVZGVl+Wzjcpl89Kn1B379tYYS8MpF2WwGv3sM7rnfZM7P83BnTyM6OppXXnnFe8E+ceIEv/nNb/jxxx/p168fo0ePLtYxWrZsWaJGMhGp3P7xj38QHx9PWFiYz+tff/01//znP3n++ef57rvvir3f4lxPXK4LvZ1vul69nauie+40mDfPZP9+2LQ5ns8++4w2bdr4bJOamsoTTzzB6tWr+eCDD3jkkUf83v+7777LjBkzGDRoEH/+85+pVauWd93Zs2c5c+ZMWZ2KSJX361//miZNmpR6P3v27OGpp54iMjKSV155ha5du3rXud1uDh065H3+xtsmpmnd7IhtrxhQFfXsAW3bws6dMP27C2l8yqoOMn36dJKSkujYsSOvvPKKt7HM5XLx8ssv8/XXXzNlyhTefPPNUh9LxCNoc3bNmzePU6dO0bJlS+6++27v64Zh8OCDD9K4cWNWrFjB9u3b/d7nbbfdxn333cfgwYOpW7dugdvM+cXKv1SzJlxzVSlPQqqN2PYG118HpstK3HX1NTf73JmoV6+et2LwySefBKSMIlL5dOvWLV9DF8B1111Hs2bNOHXqFLt37y7XMixcBAcOWnFx3OXleigJkBo1DH79kFWBnfpNXcLCWufbJioqinvuuQewet7769ixY3z00Uc0atSIZ5991qehCyA6OpoWLVqUovQiUhJTpkwhMzOTP//5zz4NXQA2m40uXboAsHKVyarV4HDAffeooauqMgyDCTdZ/79fTzXJ0x+k1NatWwfAzTff7NMrzG63c9999wGQnJxctgeVai9oG7u2bt0KQEJCAjabbzEdDof3ouzPsER/ZWebvJcz/fYtNxnUrKkLuvjvvrsNDKzvbdKmHpimb4LHHj16YLPZ2LZtW5E5c0RE/GG32wEICQkpt2O43SYffmxdy669GiIjFRerqpEjoFdPyMq2hjPmjWFg/f6C4n3nfvjhB7Kzs7nyyisJDw8vs/KKSMkdPXqUFStW0LRpUwYMGFDodi6XyRtvXYgBTZsoBlRlI4Zb6QpOnYaFi8t23/7Ejbw3Q0RKK2iHMaanpwNQs2bNAtd7/hiK07PrYn74EQ4dgjoxcF3h+fhEChQWZmAY1vd23fqazJoNl116YX1ISAgRERGkpqayfft2GjVq5Pe+T506xX//+19OnDhBjRo16NSpE4MHDy7XSq6IBK+ZM2eyb98+mjdvTvPmzYv9/v9n776jo6jeBo5/Z0t6pZckNAkd6aB0QVEQFBQBAQtiL1hQ7B1B/b2ggF1BRSwgIIpK70iVXqQTSCAESO9b5v1j2CVLNmE32U19Pufk7O7M7Mydyc69M8/c8sMPPxAXF4fRaKRhw4b07NmT8PDwfMstXwFHj0FQoNa0X1RciqLw7NNw7xiVLVth9Vq4odfl+dnZ2Xz77bcAdO3a1eX1/vvvvwC0atWKCxcusHTpUmJjYwkMDKR9+/Z06dLFrYFbhKjs/vjjD1JSUtDpdERGRtKzZ0+3rikBduzYgdVqpVWrVpjNZtasWcOePXuwWq00bNiQvn37Eh4ezrLll8uAe0bJeVrRGQwKw4fCtE9UFv2uBTk9dQ/SuXNnli1bxk8//cR1113n0Izxyy+/BGDgwIGe3SFR6ZXZYJdtpMWCasDY2pF7qoZMZqbKt5eeXt8zWsHfXzJ04b4qVcI5f/48qhrPlI/r06I5REVpv6WUlBQyMjIA93+3MTExfPPNNw7TatWqxcSJE2nRooVnEi+EKLN++OEHjh8/TnZ2NidPnuT48eNUr16dd955x17Dyx0zZsxw+PzRRx/x3HPPOVxo5uaqfPWNVi6OvFshNFTKxYouKlJh1N0qs76D/5uawqoV0/DxgeTkZPbv309KSgo9e/bk7rvvdnmdtma2J06c4KWXXiI9Pd0+74cffqBdu3a8//77BT7cFEI4mjVrlsPn6dOnM2bMGMaMGePyOmznpb+/P4888gj79u1zmP/555/zf/83ja++iQZg9CgpAyqLWwfA9z+A7VbFU/cgN998M5s3b2b58uUMHjyY1q1b4+Pjw3///UdiYiIjR4506zcshCvKbLCrbdu2fPfdd/zzzz8kJyfbg1+g9f+wbds2ADIzMz2yve9mq1y4ALVrw6BbPbJKUQm1adOG5cuXExr8J2mZXXj1DZUvPwM/P4XFixfbl3P1d+vj48OQIUPo27cv9evXx9fXlxMnTjBz5kz++ecfnn76ab7//ntq167trV0SQpQBmzdvdugnqVatWrzxxhtuj1rUvXt32rdvT9OmTQkLC+PMmTP88ccfzJ07l/fee4/Q0FB69OgBwLz5EH8OqlWDoXdcZcWiwhg9UmHNWpXjJ7JZscJxWPk+ffowfvx4t5ojpqWlAVr/QK1ateKZZ54hIiKCAwcOMGnSJHbs2MGkSZN47733PLofQlQ0bdu2ZdCgQbRu3ZqqVauSkJDAqlWrmDVrFl9++SWBgYEMGzbMpXXZzsvff/+dgIAA3n77bbp06UJycjIzZ85kyZIlPP74E1iUOdSsWV1avFQiAQEKd4+ATz4zEhg8mEkT+3LNNQ2KfQ+i1+t58803qVmzJj/88AMbN260z2vSpAkdO3Ys0sM7IQpTZvvs6ty5M02aNCEzM5NnnnmG/fv3k5mZyd69e3nmmWcwm80AHqn6HhOj8ss87f24JxV8fOTJhSiakSNHotfrSUpciY/+E44dj2fS+0ksXLiQL7/80p6Ju/q7rVatGi+88ALt2rWjSpUqBAYG0rJlS6ZMmcJNN91EWloa3333nTd3SQhRBsyYMcP+RPTzzz8nMjKSRx99NN8T/qt57rnn6NWrF7Vq1cLPz4+GDRsybtw4nn/+eVRV5ZNPPgHgXILKrO+0Wl0PPSAjE1cmPj4Kr7ykYNDXwOD3DxMn/cOiRYt45ZVX2LVrFyNHjuS///5zeX1WqxXQOqKfOnUqTZo0ITAwkI4dO/Lhhx+iKAqrVq3i1KlT3tolISqEhx56iFtuuYW6devi5+dHVFQU9913Hx988AEAX3/9NdnZ2S6ty3ZeWiwWJkyYwE033WQfLOLNN9/kmmuakZubjtU8nyceU/D1lTKgMhlyO1SrWo0c0/OcOeuZe5DU1FSeeOIJfv31V5555hl+//13li1bxgcffEBycjLPPvssy5cv995OiUqpzAa7FEVh8uTJNGzYkIMHD/LAAw9www038OCDD5KUlGQfESgkJKTY2/q/j1TMZri+C3S7XjJzUXRNmzbl1VdfxdfXl8yMOVhyhrD07/68//77dOjQgW7dugGe+d3ed999gFbjQwhROQQHB9OmTRumTp1K06ZN+fLLLz0yetGgQYMIDw8nJiaGM2fOMH2GSnY2tG4FN/fzQMJFudK0icLoUdr7qR+B3lCDgQMH8uGHH5KSksK7777rtAN7ZwICAgC44YYb8Pf3d5jXqFEjmjVrBsDOnTs9ln4hKpPOnTvTrFkz0tLS2L9/v0vfsZ2LAQEB9OnTJ998nUEbejcwYBe9e3ouraJ88PNT7H20zfpeJTPTMb8vyj3IRx99xM6dO3nkkUcYNmwYNWrUICQkhB49ejB58mRUVWXatGn2Ci1CeEKZDXYB1K5dm++//56JEycyfPhwBg8ezLPPPstPP/1ElSpVAGjQIP/w2O7asRN8fbVaXUIU1y233MK8efMYN24czVsMRtEPw9f/Qx5+5EOSkpIAz/xubZ1SX7x4sdjrEkKULwaDgb59+6KqKhs2FH/IJJ1OR0REBADLll9gzTrQ6+C5ZxR0OikbK6N7Rytc0wiSU2DiJBWrVaV58+ZERUVx9OhRe9+pV2PrOLugpi626bbyUQjhPnevCW3nXc2aNfO1NtiyVeXoMW1+UGCSDCBRSQ28FerUgYsXYfaPjsEud39vFovFXmvrhhtuyDe/WbNm1KlTh/PnzxMXF1fMlAtxWZkOdoF2Qd+nTx+efvppJkyYwF133UVoaCh79+4FoF27dkVed96Hkk8+rlC3rmTmwjNq1KjBiBEj+PqrF+jabRwWtSuvvp7D4cNHCAgIoEmTJsXeRmpqKkC+J+VCiMrB1pelp4IEtjzlp1+0/phG3g2NGkq5WFkZjQpvvq7g6wvbtsPPc7Xp7v7uoqO1Dq5tfQRdScoyIYrPdh652p9eQedlTo7KR9NVQFtfSIicl5WVj4/Ck49p1wA//wJxcZdvnN3Nt5OSkjCZTAAEBgY6XcY2vaCyQoiiKPPBLmcuXrzIqlWrCA0NpVevXkVaR1KyiulSLcnrr4PbZKRT4QU6ncJrLyvUrAmxpxeTnZ1Fv343u9W5b0FWr14NXL5gEUJULjt27ACw18gqjuPHj3Pq1Cl0Oj/SM+oR3Rjuv1cCXZVd/XoKTz2h/Q6+/Fpl5850Dh06hKIo1KlTx6V1dO/eHbj8e80rMzOTQ4cOAXjkIZAQlVFSUhK7d+8GcHnQklatWhEaGsrFixeJiYmxT/92tsrp0+Bj0JoVy3lZuXXrCh07gMkE0z5R7c3X3b0HCQkJwWg0Ajjt8zEjI8Peb6OtNrAQnlCmg13Hjh0jJyfHYVpCQgLPP/88mZmZPPXUU/mCBmvWrGHYsGG89dZbBa43J0fl5VdVuBSgfmmCIlV0hcccPHjQ4XNoqMLQweuxmj8BwtAZx+b7zltvvcWwYcNYs2aNw/TffvuNkydP5lt+9erVfPrppwDceeednkq6EKIM2b17N5s2bbJ3JGxjNpuZO3cuS5YswdfXl759+zrMnzdvHsOGDbPnETb//POPw4iONkeOHOHll19GVVVUZSB+fkZefVnBaJRysTJatGiRQzOSQbdCzx5gMp3nmWdfJzMzk+uvv97enYTNE088wbBhw/L1GdStWzfq16/P3r17+fXXX+3TLRYLH3/8MampqTRq1Ihrr73WuzsmRDm2Z88e1q5di8VicZh+5swZJkyYQFZWFt27d6dGjRoO8wsqDwwGAyNGjEBVVT788EMyMjI4fETlxx/BatmGKfcvFEXh9ttv9/auiTLqt99+IyYmhnFPKuj1sPEfWLnq6vcgzsoCHx8funTpAmgj8164cME+Lycnhw8++IDs7Gxat25NtWrVvLxnojIxlHYCCjNnzhzWrl1LkyZNqFatGomJiezZs4fc3FzGjBnDgAED8n0nPT2dmJiYfBdhABs3buSbb2Zy6jSkpwNo1SnHP3c5+DBmzBi6du3qrV0SlcD9999PREQE9erVw9/fn+PHj3P8+HECAkLJMf8fi34Po0Uzlf63XL6RjI+PJyYmhnTth2m3dOlSJk+ezDXXXENUVBRWq5UTJ07Yn8KNHDmyyLUbhRBl2+nTp3n33XcJCwujadOmhISEkJKSwrFjx7hw4QK+vr689tpr1KxZ0+F7ycnJxMTEOFxMAuzfv59vvvmGWrVq0bhxY/z8/IiLi+PQoUNYLBYUXTt0hseY8LxCwwYS6KqslixZwqRJk2jQoAH16tXDYDBw9sw5LLmHsKi5+Ps34PnnX8z3vdjYWOLj4/ONBqfX63n77bd59NFH+d///seiRYuIiIjg8OHDxMXFERoayltvvSUPHYUoxKlTp3j33XepWrUqTZo0ISgoiPj4eA4dOkROTg4NGzbkpZdeyve9gsoDgFGjRvHvv/+ybds2hg4dSq6pBTlZKSjsx6paeOaZZ2jRokVJ7J4og/Leg9SpGcnJkyqvv34Cq6Xwe5CCyoJx48axf/9+Dh8+zF133UWrVq3w9fXl4MGDnD9/npCQECZMmFASuyYqkTId7OrZsyeJiYkcOXKEPXv2EBwcTJcuXRg2bBjt27d3e32nTydx4ED+UUryRp6lg1RRXMOHD2fHjh3s2bOHnJwcatasyYgRIxg9ejQLfgvj2+/hwykqUVHQskXhF/e33XYb4eHhHD58mC1btpCTk0N4eDi9evViyJAhdOrUqYT2SghR0tq1a8e9997Lzp07OXr0KMnJyRiNRmrXrk3v3r2566677J3EuqJLly4kJCRw4MAB9uzZQ3p6OoGBgTRufC0nYm7CbB3A0Dv13NRXgg6V2ahRo4iIiGDfvn3s2LGDjIwMgoKCaNa0BcdP9iLXehvzFvjw5GOurzM6OprZs2fz9ddfs2XLFk6cOEGVKlUYNGgQ999/f4Gd1wshNC1atGDIkCHs37+fgwcPkpqair+/P40bN+aGG25gyJAhbneRYTAYmDp1Kj/99BM//vgX6WlbUBQjrVu3YfToEQwcOFDuiyqxvPcgSUlbUdUcVGsY1ar34rVXB9O5c2e31hcREcHs2bOZPXs2mzZtYteuXaiqSo0aNbjzzju555578tVMFKK4FNXFsaOLm9mFh4eXaoZ54KDKK6+pnL8AgYHwwSSFa1uXzQv60j5W5UV5PE5Wq8orr6us3wBVwuGzGSUzMEJ5PFalxX6szLn4Ln0ZgJx+74HBp5RTpgkPDy/tJFQ4FeHcKOo5fjJG5YmnVJJTtH45PphUvpovVua8rTT2fc1alVff0C4bX39F4aYbS/63Iv9zL+x7GSnvykv5VtF+fzt2qox7VkVV4c3XFPr20c7rynyuFaayHpejx1TGPqxiNsNjjyjcPdwx/6+sx+Vq5Lg4canM8fHxIa33m0Uuc1wpM8p0n12eYDKpzPxW5dEntEBX/Xrw1edlN9AlKjZbh/XXNILEJHh6vMqFiy7Fm4UQwqP+O3Q50NW0CUx8u3wFukTJ69VTYfQo7f3kD1R27pLyS4jyLClJ5a13tUDXrf2xB7qEuNI1jRSeflL7fXz+pcq/OyT/F2VfhQ52HTmi8uAjWrDLYoFePeGLTxWiIiUjF6UnIEDh/z5QqFsHzp6FZ8erJCdLgSGEKDk7dqo89czlQNf/3lcICJCyUVzd2PsVuneDXBO8+IrKkaNSfglRHpnNKm9PVLl4UasMMO5JKQNE4W4bBP1vBqsVXntT5cRJyf9F2VYhg13Z2Sqffm5l7MMqR49BaIhWLfedNxUCAyUjF6WvalWFKf9TqFoVjp+AJ8apnD8vBYYQwrtUVWX+ApVnn1fJzIS2beDjKQphYVI2Ctfo9QpvvqZwbWvIyIDxL6jExUn5JUR5M/0TlW3bwdcX3npDwd9fygFROEVReO4ZhebNIDVVe2AfHy/5vyi7Klywa+s2ldH3q/z4M1is0LsXzP5Wa38uI/2IsqRuHYVpUxRqVIeTMfDoEyqnTkmBIYTwjsxMrbnK1Glanxu9e2k1uuQhkHCXr6/C5IkKjRrCxUR47CmV4yek/BKivPh1gcr8hdr7119RaNRQygHhGl9fhQ8nK9SvD+cvwLhnVc6clfxflE0VJtiVlKzyzkQrzz6vcvYs1KgBk99TeOdNHVWqSAYuyqZ69RQ+na4QURfiz8FDj6ps2iwFhhDCs3btVrn3AZUVK0Gvh6ceV3j7DQVfXykfRdEEBytM+VChYQO4eBGeHKeyb7+UX0KUdX8vVfl4unauPvKQQs8eUg4I94SGKkz9UKF2bYg7oz2wP3zEXNrJEiKfch/sslhUFvymMmKUytLloCgw9A744VuFbtdL5i3Kvlq1tIBXq5aQngEvvKQy/RMr2dly0yCEKJ6cHJXpn1p58mntQVCtmjBtqsJdQ6W2syi+qlUVZnys0KwZpKRqTfLnL1BxcaBvIUQJW7lKZdL7Wof0Q26HkSNKO0WivKpeXeGz6ZcfeIy+L5V16yXvF2VLuQ527duv8uCjKlM+UklPh8bXaB3Qj3tSJx3tinKlShWFaVMVbr8NVBV+mQf3jVXZtl0KDSFE0fz3n8oDD6n8Mhf7SFvfzZTRiIVnhYQofPx/Cr16gtkMU6epTHhZ5aw0axGiTPl7qdYhvdUKAwfA00/JQw9RPNWqKcyYptDmWkhPV3n5Na3fbLNZ8n9RNhhKOwFFcey4yjezVNat1z4HBcGDDyjcPkjrONXbLly44NX1m81mkpOTvbqNiqA0jlO1atW8tm6jUWH8Mwpdr1N5/38qsbHwzHiV67qo3DtaoWULuSARQlxdZqbK1zNVfl2gjZhUtQq8MF6hqwdrO3u7HHRVZS4vi7rv3ijHAgIU3nkT5v4Kn36u8s8m+HeHyl1DVe66UyFcBkAQotSoqsp3s+HrmVoA4uZ+MP5ZBZ3OM+dlWSkPSkpFKXc8VRaEBCt89H8w6ztfvpudzY8/w5atKs8/h9y7iFJXboJdFovKpi3w2yKVzVu0aYoCt9wMjz6kEB5ecidTdHR0iW1LlC2JiYle38Z1XRRmz4JvZqksXASbNsOmzSotmqsMvUOhW1fw85PCQwjhSFVV1qzVRthKOK9N69sHnnlKITTUs3mGlIPll7fKMUVRGDYUOnWEKR+p7NwFs3+AufNUbu2vctsghYYNpOwSoiSlpmnNFtdv0D6PHAEPP+i5QBdIeVBeebIsMBgUXhgfSONrcvjw/1SOHdf68bqln8o9oxQiItz/vWVlqRw+AqdPawOh5OSo3DpAoU5tKUeE68p0sOvCBZX9B7Qb/Q3/QN4geu9eMOY+hQb15QcvKp7gYIWnn1K4Y4jKDz+qLFsO+w/A/gMq/n7QrZtK754K7dpCUJCcA0JUZqqqsmlzLv/3kcrBg9q0OnXguacVOneS/EGUrAb1FaZNhfUbYPYclYP/wfyFMH+hSrNmKjf2UejeFWrLDYsQXqOqKqvXwrQZKhcugNEI455UuH2QnHfCe3r11Jo0fvq5yl9L4K8lsGSZSo9uKjfdqNC+HU5HgLZYVE7GXL7XOXhQG6neanVcLitLZdyT8hsWriv1YFdOjkpSMsTHa6M5xMVpP/aDB7XhTPMKDYH+t8BtA4sWIRaivImMUHjpBYWHHlD57XeVJcvg7FlYvgKWr1DR66BJE5VmTaFxY20Y+Fq1ICwU6YdBiAruwgWVteu1Gs8nTqYB4OcHw++C0SNlpEVRehRFoUd36N4Ntv8Lv/2usmGjdm138KDKtBnQqJHK9dfBta0UWraQBzdCeIKqqmzdBj/8qNWuBIioC2++rtC0iZxjwvvCwhReflFh0ECV72arbNoMa9bBmnUqOh1ERarUqAEGg9bPY8J57d4mJyf/uqpVg2saQdWqWpcMg26V37BwT4kEu5YtV1m7LpX0DCsmE+TmQmqaVlMrM7Pg7+l00KABXNsKenTXIsUGg/zIReVTtarCA/crjLlPe0q+YqXWJ0psHBw4qP3B5c4gfXwgJETF10d7b/RJJifbitkMZotWuFjMEBoKH0xWqFtHzishyipVVUlO0S4GY+O0YMHeffDfocvL+PvDgP5wz0iFKlXkfBZlg6IodOwAHTsoJCWpLF8J6zeo7N4Dx45pf7NRURSoUUMlMkIbMTQwSKshNuAWeXAjxNUkJ6v8dwh27VZZsw5iY7XpPkYYeTeMulsefoiS17KFwoeTFY4eU1myVGXdBjhzRquxdTIm//L+/tC8GTRvDi2aKTRtonWAL0RxlEiwa87PKseOmQpOhAFq1oC6dbWmF5ER2g88ujH4+5e9H/nhw4e9uv6wsLAK0fGht1XG46QoilYQNFN46gmIP6eyezccPqpy5AjEnILERC2g7NhfqMXp+tLSICUF6tYpkeQLUeGkpmpNRSwWLbDs46PdYBiN2nuDQXtvMGjL5OZqfzk5kJkFGemQlg4ZGSrpGZCRAenp2l9GBqRnaOdpbq7z7bdoDn37KIwYFobZnFJi++3tctBVlbEcsClv+x4ernDXnXDXnQopKSr/bIYdO7TAbWwcnDun/V2m0rqVQlRkaaVYCM9bsVJl4SIVk0krE2x/5jzvQXvgr9dprzr95feKoo2uq6paGZKUCFnZjtvw99dGW7zrToVatbx/H1VWyoOSUt7y3tJ2TSOFJx5TeOIxrUb6iZNabS7VCnq9Vmurdm2oU7tkBpoTlUuJBLvee1vhyNEAcnMzMRrB6AMhwRAerjW3CgoqX0/uvDkiH0B4eDgGQ6m3MC3z5DhBrZoKtW6CfjddPn9MJq1z6owM7YY6JwcCAoLIzk6333Qb9KA3QHgYJTq4Q7miN6KG17e/F8KZX+Zpo1yVhGrVoHYt7UFQ82YK7dtDtara+RscrCMpqWTSoaXFu+WgqypzOVCe9z00VOGWfnBLP+33m5yscuo0nDqtPajJzFKpVkUhMqKUE1pZSHlXYpYs02o2elpkJDRrAtdfp3D9ddoIqSWlrJQHJaU8572lrVo1hUr2cxHOXCpzFH8/r5c5JXKm1q2r0LKlH0lJWSWxOSEqNaNRyVdTKzzch6QkCWq5RVHIve5x+3shnOl3k8KFiyoZ6ZdqbV1qqm8yae9NuWAyg9mkBZp9fMDXV6vtFRAAgYEQFKg12woOUi5/DtQeBAUFae+rVUWaoYgKKyxMISwMWreyTZHfeomS8q7EvP6Kwu49oOi0Wi0Gvfaa9w+0Gl5W6+U/22cbRdH6aKxaBapUKZstYYQQwqlLZU5AeLjjCIReIGFpIYQoiFz0i6uIitQGkRBCiHJNyrsSERKi0L1baadCCCFKmaKUSMs+nde3IIQQQgghhBBCCCFECZFglxBCCCGEEEIIIYSoMCTYJYQQQgghhBBCCCEqDAl2CSGEEEIIIYQQQogKQ4JdQgghhBBCCCGEEKLCkGCXEEIIIYQQQgghhKgwJNglhBBCCCGEEEIIISoMCXYJIYQQQgghhBBCiApDgl1CCCGEEEIIIYQQosJQVFVVvb2RtLQ0/v33X9q3b09wcLC3N1euybFyjRwn18mxcp0cK1EeVdbfbWXdb6i8+15Z9xsq976Lkie/N+fkuDgnx8U5OS4FK6ljUyI1u9LT01m7di3p6eklsblyTY6Va+Q4uU6OlevkWInyqLL+bivrfkPl3ffKut9QufddlDz5vTknx8U5OS7OyXEpWEkdG2nGKIQQQgghhBBCCCEqDAl2CSGEEEIIIYQQQogKo0SCXUFBQfTs2ZOgoKCS2Fy5JsfKNXKcXCfHynVyrER5VFl/t5V1v6Hy7ntl3W+o3PsuSp783pyT4+KcHBfn5LgUrKSOTYl0UC+EEEIIIYQQQgghREmQZoxCCCGEEEIIIYQQosKQYJcQQgghhBBCCCGEqDAk2CWEEEIIIYQQQgghKgwJdgkhhBBCCCGEEEKICkOCXUIIIYQQQgghhBCiwjAU5UtWq5Uff/yR+fPnc/z4cfR6Pc2aNWPMmDH06dPHrfXMmTOHuXPnEhMTQ0BAANdffz3PPPMMkZGRRUlameKJ47R9+3ZWrFjB1q1biYuLIzMzk7p169KnTx8efvhhQkJCvLwXJcNTv6m8cnNzGTp0KP/99x8NGjRgyZIlHk516fDksUpPT2fmzJksW7aM06dPYzQaiYyMpE+fPjzxxBNe2oOS46ljlZqayqxZs1ixYgWxsbH4+PgQERHB4MGDGTp0KL6+vl7cC1ER5eTkMGXKFPbt20dMTAwpKSmEhIQQGRnJ0KFDGTRoEEaj8arr2bJlC/fcc0+B8ydNmsSQIUPyTT9x4gQfffQRmzdvJisri/r16zN8+HBGjBiBoijF2rfClOZ+jx49mq1btzpdvm7duqxatcq9nXGTp/bdxt38e8+ePUyfPp2dO3diNpuJjo7mvvvuo3///p7czXxKc79vuOEG4uLinK6nU6dOzJ49u1j7VhhP7Xdhv1ub999/n9tvv91hWmn9v0XZ5MlzITc3lzlz5vDHH39w4sQJQMtDO3bsyBtvvOGR9JYUTxyXF198kYULFxa6zFNPPcXjjz9epDSWBk/9XrKzs/npp5/4/fffiY2NRVVV6tSpwy233MKoUaMIDg72ZLK9zlPHJSUlhc8//5wVK1Zw9uxZgoKC6NSpE08++SSNGzf2ZJJL1PLly/nxxx85cOAAmZmZVK9enTZt2vD8889Tu3btq37fG7EhRVVV1Z0vqKrKuHHjWLp0KVFRUfTo0YPc3FxWrlzJxYsXee211xg1apRL63r11VeZN28ejRs3pmfPniQkJPD3338TGBjIL7/8Qv369YuyT2WCp45T165dSUpKon379jRr1gxFUdi6dSsHDhwgMjKSn3/+mWrVqpXAHnmPJ39TeU2dOpXvv/+ezMzMChPs8uSxOnPmDPfeey+nT5/m+uuvp1mzZuTm5nLq1CnOnDnDH3/84eW98S5PHavU1FSGDBnC6dOnad++Pddeey25ubmsW7eOU6dO0aVLF2bNmoVOJxVlhesSExPp1asXrVu3pn79+lSpUoWUlBTWr19PXFwc3bp146uvvrrq78oW9OnUqROdOnXKN79v3740a9bMYdrRo0cZPnw42dnZ3HLLLdSoUYO1a9dy5MgRRo0axWuvvebRfc2rNPfbFjRwFggKDg7mvvvuK9a+XY2n9h3cz783b97M2LFj8fHxYcCAAQQGBrJs2TLi4uKYMGECY8aM8dZul+p+33DDDaSmpnLvvffmW1fdunWdBoI9xVP7vWDBAqc3V2azmS+++AKdTsfq1aupWbOmfV5p/r9F2eSpcyElJYWxY8eyZ88e2rZtS9u2bQGIjY1l69atbNmyxaPp9jZPHJcVK1Zw8OBBp/NmzpxJZmYm8+bNo3Xr1sVOb0nxxHExmUyMHDmS3bt306xZM3tZvWXLFv777z8aN27MvHnz8Pf393j6vcUTxyUpKYnhw4dz8uRJ2rZtS5s2bTh//jxLly7FYDDw3Xffce2113oj+V6jqipvvPEGv/zyC1FRUXTr1o3AwEASEhLYtm0bH374IR06dLjqerwSG1Ld9Pfff6vR0dHq8OHD1aysLPv0ixcvqr1791Zbtmypnj59+qrr2bRpkxodHa2OHDlSzcnJsU9fs2aNGh0drY4ZM8bdpJUpnjpOX3zxhRofH+8wzWq1qm+88YYaHR2tvvnmmx5Pe0nz1LHKa/fu3WqzZs3UH374QY2Ojlb79evn6WSXCk8dK5PJpA4ZMkRt3bq1umnTJqfzyztPHasvv/xSjY6OVidOnOgwPScnRx0yZIgaHR2tbt261ePpFxWbxWJxKPtsTCaTOmrUKDU6OlpdvXr1VdezefNmNTo6Wp02bZrL2x45cqQaHR2trlmzxj4tJydHvfvuu9Xo6Gh1x44dLq/LXaW537b1lxZP7bu7+bfJZFL79u2rtmzZUj1w4IB9empqqnrTTTepLVq0UGNjY93fIReV1n6rqqr27t1b7d27d5HSXVye2u+CLFmyRI2OjlYffvjhfOsvzf+3KJs8dS489thjapMmTdTff/8937zyeO3ozTxi7969anR0tHrrrbd6Zf3e5Inj8ueff6rR0dHq448/nm/eo48+qkZHR6sLFy4s1jZKmieOy1tvvaVGR0erkyZNcpi+Y8cOtVmzZmr//v1Vi8VSrG2UtG+//dYelzCbzfnmu5I3eCs25HZVhJUrVwLwyCOP4OfnZ59epUoV7r33XnJzc1mwYMFV1zNv3jwAxo0bh4+Pj316z5496dSpExs2bODMmTPuJq/M8NRxeuihhxye1gEoisJjjz0GwLZt2zyY6tLhqWNlk5OTw4QJE2jfvj133323x9Nbmjx1rJYuXcq+ffsYM2YMXbp0yTffYChSC+cyxVPH6vTp04CWN+Xl4+NDt27dAO0JvhDu0Ol0DmWfjcFg4MYbbwQgJibG49s9ceIE27Zto3Pnzg6/aR8fH8aNGwfA3LlzPb5dm9La77LAU/vubv69efNmTp06xa233upQ2y04OJhHHnkEk8l01SY4xVFa+13avP1b//XXXwG48847HaaX9v9bVFy7du1ixYoVDBo0iIEDB+abX9bOwdJW0DlaWcTGxgLQo0ePfPN69eoFVM7r55UrV6LT6XjyyScdprdt25bevXtz9OjRqzZdL0uys7P55JNPiIyM5JVXXkGv1+dbxpW8wVuxIbdzpQsXLgAQERGRb55t2ubNm3nqqacKXc+WLVsICAigXbt2+eZ1796drVu3snXr1nx9EJQXnjpOBbH9aJz9oMobTx+rKVOmcPbsWb744guv9j1TGjx1rP766y8Abr75Zs6ePcuaNWtIS0sjMjKSHj16EBgY6OGUlzxPHavo6GgA1q5dS9euXe3Tc3Nz2bhxI35+frRp08ZDqRaVndVqZf369cDl354rTp48ybfffktOTg41a9bkuuuuy/egBLBfQNkCtXm1b9+egICAUnmI4u39zuuPP/4gLi4OPz8/mjVrRseOHUu1GbK7++5u/l3Y/9w2rTz8z4tabtkebCQkJBAUFESrVq1KtYlIUX/recXHx7NhwwaqV69uv2m0Kav/b1H6insu5D0HExMTWbVqFRcvXqRWrVr06NGD8PBwbyXdq7yRR2RnZ7N48WJ8fHy47bbbPJTSklXc42Lre2rdunXcddddDvPWrFmDoih07tzZo2kuCcU9LhcuXCA8PNxpmZX3/sTZQ52yaMOGDaSkpDBkyBCsVivLli3j5MmTBAcHc/3111OvXj2X1uOt2JDbwS5bRhYbG0ujRo0c5tkiuCdPnix0HZmZmZw/f57o6GinwRrbQSnPT3c9cZwKM3/+fACHm+/yypPHatu2bXz//fe8+OKLREVFeTSdZYGnjtX+/fsBbQCEyZMnk5uba59XpUoVPvroo3JZAOXlqWN155138scff/Ddd9+xf/9+WrdujclkYu3atWRmZjJ16tSr3lwLUZDc3Fy++OILVFUlOTmZTZs2cfz4cYYMGcJ1113n8noWL17M4sWL7Z8NBgOjRo3ihRdecChnbb95Zxcfer2eiIgIjh49itls9upT+pLe77zGjx/v8Ll+/fr873//o1WrVkXbGTcVd9/dzb8L+59Xr16dgICAErneKun9tjl//jwvvfSSw7RWrVoxZcqUErlO8NRvPa/58+djtVoZPHhwvvO0rPy/RdlT3HPBdg7GxMTw/PPPk56ebp8XEBDAxIkTy+UACN7II5YsWUJaWhoDBgwgLCzMA6ksecU9Lr169aJv374sX76c22+/3aHPrtjYWN555x1atGjhlbR7U3GPS3h4OBcvXiQjIyNfwMsTMYKSZssXdDodAwcOdEi7TqfjvvvuY8KECYWuw5uxIbevZHv06MGff/7Jl19+SZcuXeyjkCUlJfHdd98BWofOhUlLSwMgKCjI6XzbdNty5ZEnjlNBDh48yCeffELVqlUZO3asx9JcWjx1rDIzM3nppZdo06YNo0eP9mqaS4unjtXFixcBmDhxImPGjGHUqFH4+Pjw559/8v777/P444/z119/UaNGDe/tjJd56lj5+fnx3Xff8eabb7Jw4UK2b98OaIGBUaNG2TtnFaIoTCYTM2bMsH9WFIUxY8bw3HPPufT9KlWq8Nxzz9G7d2/q1q1LVlYWO3fu5P/+7//49ttvURSFF1980b687eakoBGQAgMDsVqtZGRkEBoaWow9K1xJ7zdAnz59eOCBB2jWrBmhoaHExcXx888/M2fOHMaMGcOiRYuoU6eOR/fTmeLuu7v599X+50FBQSVyvVXS+w0wZMgQ2rdvT3R0NAEBAZw8eZJZs2axaNEi7rvvPn7//fcCr0U9pbj7fSVVVe1N8J01jyor/29RtnjiXLCdgx9++CEDBw7kiSeeIDQ0lDVr1vDWW2/xwgsv0LBhQ5o2bVoSu+QR3sojbJUShg4d6ukklwhPHBdFUZg+fTpTpkzh66+/dujEf/DgwVx//fXe3g2P88Rx6d69OwsWLGDGjBkOQaDdu3ezZs0aoHzFQGz5wrfffkvz5s2ZN28ejRo14uDBg7z22mvMnDmTyMjIQrsW8mZsyO1g16233sqCBQvYsmULAwcOpHv37phMJlauXEnVqlUBZFQyvHecTp8+zUMPPYTFYmHKlClUqVLF00kvcZ46Vu+//z4JCQkuj+pUHnnqWKmXBmHt1auXQy2H0aNHEx8fz9dff82vv/5q7xuuPPLUsUpMTOSxxx4jMTGRL7/8kvbt25OVlcXKlSt5//33WbNmDQsWLPD6DZOomAIDAzl06BBWq5WEhARWrVrF1KlT2bVrF1999dVVf1eNGzd2GKY6ICCAvn37cu211zJo0CBmz57Ngw8+aP/NlxWlsd9XjrbYqFEjXnnlFYKCgvj000+ZOXMmr776qkf305ni7nt5zb9LY7+vHHmzWbNmfPDBBwAsWrSIefPmcf/993tqF50q7n5fafPmzcTGxtKpUyeXm4cI4YlzwXYORkdHM3nyZHtXIYMGDSI9PZ233nqL2bNnM3HiRC/sgXd4I4+IiYlh27ZtRERElJumaFfyxHHJysri2WefZc+ePUyZMsVek3XTpk1MnDiRdevWMXfuXKfdjZRVnjgu48aNY/369cycOZNdu3bRpk0bEhISWLp0KY0aNeLQoUPlqhseW75gNBr55JNP7K1dOnTowMcff8xtt93GrFmzSq0fbbcjAgaDga+//ponn3wSRVH45ZdfWL58OX369GHatGkAV72otj1tylv9Na+rPZUqDzxxnK50+vRp7rnnHpKSkpg2bVq5zUCv5IljtWXLFn7++WfGjRtHgwYNSiLZpcJTvyvbxfUNN9yQb55t2r59+zyY8pLnqWP13nvvsXPnTqZNm0bPnj0JCgqievXqDB8+nKeffpqYmBhmz57t7d0RFZxOp6NWrVrcfffdvP322+zYsYPPPvusyOurXr06ffr0wWw2s3v3bvv0qz0dy8jIQFGUEuu3r6T2uzDDhw8HYMeOHUXeblEUdd/dzb+v9j9PT08v0eutktrvwgwbNgwo2f+5p37rV+v0uqz9v0XZ5s65YPtt9e7dO9/NeJ8+fYDyf+1oU5w8Yv78+aiqyh133FGughaucOe4fP7556xatYq3336b/v37Ex4eTnh4OP379+ett97i4sWLfP75595Ocolw57jUqlWL+fPnc+eddxIbG8vs2bPZvXs3Tz31FI888gjgfoygNNnyhZYtW+br1iU6OprIyEhOnTpVaGsab8aGitQhh4+PD0888US+6OaWLVsAbWcLExAQQPXq1YmNjcViseRrm2lrj1nen1gV9zjlZQt0nT9/no8++ojevXt7NK2lrbjHylY19oMPPrBH2PM6ceIETZo0ITg42N4MrbzyxO+qQYMGJCUlERISkm+ebVpOTo4HUlu6PHGs1q9fT1hYmNNq+bb+YfJWzRaiuGydSBd3NB5bv3VZWVn2afXr1wec93tgsViIjY0lIiKiVEbV8uZ+FyYsLAxFUcjMzCzWdovDnX13N//O+z+/Ms87f/48mZmZtG7duqhJLxZv7ndhbL+R0vqfF/W3npKSwvLlywkJCeHmm292ukxZ/n+Lssedc6FBgwbs27fP6TlouwnNzs72bAJLSVHzCIvFwsKFC9Hr9dxxxx3eSFqpcue42AbicNaXoq3CxoEDBzyYutLj7u+lZs2aTmtATp8+HXAvRlDaGjZsCBQciMqbNzjLO8C7sSGPtvX6448/AFzqnLBTp05kZmY6jYDaTo6OHTt6MnllhjvHCRwDXVOnTqVv377eTF6Z4uqxio6O5s4773T6B9qJduedd5bb0T1d4c7vylbIHD16NN8827S6det6MHVlizvHKjc3l/T0dIfOkG2SkpIArequEJ6SkJAAFH8Yd1vNprznsq1c3bBhQ77l//33XzIzM0ut7PXmfhdmz549qKpaqnmeO/vubv5d2P/cNq08/M89WW7t2bPHreU9rai/9d9//52cnBwGDhxo74fySmX5/y3KHnfOBVfOwfLUJK0wRc0j1q5dS0JCAt27d6+Qgxe5c1xMJhNw+Vo5r8TEREB7KF0ReKJMsVgs/PnnnxgMBm666SZPJc3rbMHM48eP55tnMpk4deoUAQEBV+16yVuxoSIFu5xVMVuyZAnz58+nVatWDv+gxMREjh07Zv9R29iGIP34448dbiLXrl3L1q1b6datW7m/2fbEcbIFuhISEpgyZQo33nij19NdGop7rK6//nomTpzo9A+gWrVqTJw4sUT6Y/E2T/yuhgwZgo+PDz/88APnzp1zWPcXX3wBwC233OKlPSg5njhW7dq1w2w28+mnnzpMz8nJsU+rKE2KRck5evSo05pHWVlZTJo0CYCePXvapxf0+yyoych3333Hli1bqF+/vsMogw0bNqRjx45s2bKFtWvX2qfn5uby8ccfA97tULe09vv06dMkJyfnW/7cuXO89dZbAAwcONDt/XGHp/bd3fz7uuuuIzIyksWLFzvUQk1LS+Pzzz/HaDR69UFQae33sWPHnG732LFj/O9//wO8+z/31H7ndbUmjFD6/29R9rh7LqSlpXHs2DF7UNbm5ptvJjw8nD/++INDhw7Zp+fm5tprpBRU47As8tRxycuVc7Ss89RxsQ3gNGPGDKxWq326xWKxdydSnkZ+99RxMZlM+WpAWq1W3n//fU6cOMGoUaPKVaA0KiqKbt26ERMTw7x58xzmffnll6SmptK3b1/7w52Sjg0V6fHp0KFDqV27Ng0bNsTX15c9e/awdetWIiMj+fjjjx2qns2ZM4cZM2bwxBNP8OSTT9qnd+nShaFDhzJv3jyGDBlCz549OX/+PH/99RdhYWEVIijhieN07733cubMGdq0acOhQ4ccChebvMuXV544VpWFJ45VZGQkL7zwAu+++y6DBg3ixhtvxMfHhzVr1hAXF8ewYcOKPCR6WeKJY/Xcc8/Z+1b5559/aNu2LdnZ2axfv564uDjatm3LbbfdVhq7J8qxv//+m1mzZtG+fXvq1q1LUFAQ586dY926dSQnJ9OhQweHDtUL+n0+9dRTGAwGe18JWVlZ7N69mwMHDhASEsKHH36Yrzr4G2+8wYgRI3j88cfp378/1atXZ+3atRw5coRRo0bRrl27Crff27Zt480336RDhw5EREQQEhJCbGwsa9euJTMzk4EDB3r9PPbUvrubfxsMBt59913Gjh3LyJEjGTBgAIGBgSxbtoy4uDgmTJjg1doYpbXff/31F7NmzaJjx47UqVMHf39/Tp48ybp16zCZTDz88MNereHkqf222bdvH//99x8tWrSgefPmBW63tP/fouxx91xYvnw5L730EoMHD2by5Mn26UFBQbz77rs89dRTDBs2jH79+hESEsKmTZs4cuQIPXv2ZMiQIaWxi0XiqeNic+HCBdauXUu1atXKdXcznjoujzzyCKtWreK3335j//799gfDmzZt4ujRo9SvX58xY8aU+P4VlaeOy8WLFxkwYABdu3YlIiICk8nEhg0bOH78OL169SrySL2l6Y033mD48OG8+uqrrFixgoYNG3LgwAE2b95M3bp1eeGFF+zLlnRsqEjBrv79+7Ns2TJ27dqF2WwmIiKCRx99lLFjx7o1qszbb79NdHQ0c+fO5fvvvycgIIAbb7yRZ555hqioqKIkrUzxxHGKi4sDYNeuXezatcvpMhUh4OOp31Rl4KljNXr0aOrWrcs333zDn3/+icVi4ZprruHRRx8tt0MlX8kTx6p58+YsWLCAL774gi1btjBnzhz0ej316tVj3LhxjBkzpsJUwxYlp1evXiQkJLBz50527dpFZmYmQUFBNGnShAEDBnDHHXe41MRp+PDhbNiwgW3btpGcnIxOp6NOnTrce++9jBkzhlq1auX7TuPGjZk7dy4fffSRPdhTv359Xn/9da+PllNa+928eXNuvvlm9u/fz969e8nMzCQ4OJh27dpxxx13uNytQHF4at/B/fy7S5cu/Pjjj0ybNo2//voLs9lMdHQ048eP9/q+l9Z+d+7cmWPHjnHw4EG2b99OdnY24eHh9OjRg7vvvtveb5a3eHK/wb0aI6X5/xZljyfPhb59+zJ79mw+++wzVq1aRVZWFvXr12f8+PHcf//9+R6ulGWeziMWLlyI2Wzm9ttvL5V+Lz3FU8elTp06zJ8/ny+//JL169fz888/oygKdevW5YEHHuDhhx8mNDTUy3vjOZ46LkFBQfTp04cdO3awZs0aDAYD0dHRvPvuu9xxxx0ujRRf1kRFRTF//nymTZvG+vXr2bhxI9WqVWPkyJE8/vjjLne4743YkKLaxosUQgghhBBCCCGEEKKcK3+hQyGEEEIIIYQQQgghCiDBLiGEEEIIIYQQQghRYUiwSwghhBBCCCGEEEJUGBLsEkIIIYQQQgghhBAVhgS7hBBCCCGEEEIIIUSFIcEuIYQQQgghhBBCCFFhSLBLCCGEEEIIIYQQQlQYEuwSQgghhBBCCCGEEBWGBLuEEEIIIYQQQgghRIUhwS4hhBBCCCGEEEIIUWFIsEsIIYQQQgghhBBCVBgS7BJCCCGEEEIIIYQQFYYEu4QQQgghhBBCCCFEhSHBLjfdcMMNNGnS5Kp/CxYsKO2k2tnSVNE5+9+0bNmSXr168fTTT7N9+/ZirTc2NtbDKfa+2NhY+7G4Wvpt+1mWfrs25fl/IER5lDc/fffddwtd9uuvv7Yv27x58xJKYcXmrfIs77rLY34qZZoQ3lGUPKci/443bdpE06ZNadOmDTExMQUuN2PGDJo0acKAAQPIzc0twRR6ltxD5VdRyhso3/+H4jKUdgLKq3bt2lGvXr0C50dFRZVIOm644Qbi4uJYuXIlERERJbLNsi7v/yY1NZV9+/bx999/s2TJEiZMmMD9999fyikUQojy448//uCFF17Ax8fH6fz58+eXcIoqDynPhBAlqTLlOYXdQ1133XXcfffdzJkzhxdffJE5c+ag0znWEdm/fz+fffYZBoOB999/v8AysjypTP9/UTlIsKuIhg4dypAhQ0o7GcKJK/83OTk5vP766/z22298+OGH9OrViwYNGri8vm+//RaTyUTNmjW9kVwhhCizWrZsyb59+1i5ciW33HJLvvk7duzg+PHjtGrVir1795ZCCis2T5dnIGWaEKJg3shzyqvx48ezfv16duzYwcyZMxk7dqx9Xm5uLhMmTMBsNvP444/TsmXLUkyp58g9lKhopBmjqPB8fX15/fXXCQgIwGKxsHz5cre+HxUVRaNGjTAajV5KoRBClE133HEHUHDtrV9//dVhOeFdxS3PQMo0IYTrPJHnlFcBAQFMmjQJnU7Hxx9/zNGjR+3zPvroI44cOUKLFi149NFHSzGV3iX3UKK8k5pdJWTPnj0sWbKErVu3cvbsWVJSUggJCaF169bcc889XH/99fm+Y+tn69ChQ8yfP5+5c+dy9OhR0tPTmTRpEi+99JJ92T59+jh89/vvv6dz58751rl06VK+/fZbDh06hNVqpWnTpjz66KP07NmzSPt17NgxvvrqKzZu3EhycjJRUVHcfffdjBw5kgEDBnD06FH++usvGjVqVKT1e0pgYCANGjRg//79Du2VCzvGtmrNhVVzjo+P56uvvmL9+vWcPXsWHx8fGjduzO23387QoUPR6/X50uLKNk+ePMkXX3zBli1bSEhIwGg0EhYWRuPGjenXr1+J3lgWJS3Z2dn8+OOPLFmyhOPHj5OTk0OdOnXo06cPDz74IOHh4fm+c/ToUaZNm8aWLVvIysoiKiqKwYMHc99995XAXgohnImOjqZly5Zs3LiRc+fOOTydzcjI4O+//6ZWrVp069atwHV4uvzzZj5ZHsq0gsozkDLNFe6mpSjlGUiZJiqOwvIcZ4qS54NjXuLu/Yo75+mCBQtcvofq0KED9913HzNnzmTChAn88ssv7Nmzh1mzZmE0Gpk8eXKxAjnlucwpbnkD7pc5Fb28ASlzPE2CXSVkypQpbNmyhWuuuYYWLVrg7+/P6dOnWb16NatXr+bll1/m3nvvdfrdd955hx9//JG2bdvSq1cvTp8+TUREBIMHD2bp0qVkZmbSr18/AgIC7N+pVq1avvVMmzaNTz/9lLZt29KzZ0+OHz/Ozp07efjhh5k+fTo33nijW/u0ePFiXnzxRUwmE82bN6dDhw6cPHmSt99+m3PnzhETE2PPIMuC9PR0AKdt6p0dY0VRCl3fnj17ePDBB0lOTqZOnTr07duXtLQ0tm7dys6dO1m+fDmfffZZgW34C9rm4cOHGTFiBOnp6TRo0IDevXuj0+k4d+4c27Zt49y5cyWWURclLefOnWPs2LEcPnyYsLAwWrVqRWBgIAcOHOCbb75hyZIlzJ49m7p169q/s337dh588EEyMzOJjIyka9euJCUlMXXqVHbv3l0i+yqEcO6OO+5g3759LFiwwOEJ9t9//01mZib33HNPofmlp8s/b+WT5alMK6w8AynTCuJuWopSnoGUaaLiuVqek1dx8nxw/37F3fPUFgRw9R7q6aefZu3atezbt4+PP/6YZcuWYbVaeeaZZ4iOjnb5GF6popQ5RSlvoHhlTkUsb0DKHK9QhVt69+6tRkdHq/Pnz3fre2vWrFHPnTuXb/qOHTvUdu3aqS1atFDj4+Md5kVHR6vR0dFqu3bt1J07dxaantOnTxe4bdt6OnTooO7atcth3rRp09To6Gj1pptucmt/tm/frrZo0UJt3769un79eod5n3/+udqkSRM1OjpaHTVqlFvrLY7C/jcHDx5UmzZtqkZHR6u//vqrfXpRj3FOTo59+uuvv67m5uba5506dco+b8qUKfnWd7Vtvvjii2p0dLT66aef5puXlZWlbt26tbDD4OD06dP27RX2G8m7n3mPn7tpsVqt6vDhw9Xo6Gj15ZdfVtPS0uzzTCaTOnnyZDU6OlodPXq0fXp2drbas2dPNTo6Wp04caJqNpvt8w4ePKh27tzZ5X0QQniGLT/Ytm2bmpqaqrZu3Vq98cYbHZYZPny42qRJE/XUqVP2vKZZs2b51uWN8s+T+aSqlr0yrSjlmapKmeZsP4taphWlPFNVKdNE+VSUPKege5Ci5PmqWrT7laKep4Wl35ndu3erzZo1s6dx2LBhDue2uypCmVOc+9SiljkVtbxRVSlzvEX67Cqil156Kd8QrXn/UlNTHZbv2bMnNWrUyLeetm3bMnLkSEwmEytWrHC6rTFjxtCmTZtip/mpp57i2muvdZj28MMPExwczMmTJzl79qxL67FYLLzyyiuYTCYmT56cr/nK2LFj7VUsS7vDxrS0NNauXcuTTz6J1WqlRo0aTjtZdvcY//3338TFxVGjRg1eeeUVhyrMkZGRTJgwAYDZs2eTk5PjdB0FbfPixYsATqtq+/n50bFjR5fTWVzupsXWkWezZs146623CAoKss8zGAw8//zzREdHs2XLFg4fPgxoTWvPnj1L7dq1ef755x2qLDdt2pRHHnnEG7smhHBRcHAwN954IzExMWzduhWA48ePs2PHDjp27EhkZGSh3/dG+efJfLK8lGmulmcgZVpB3ElLUcozkDJNVBzu5Dl5FSfPB/fuV4p6nrqrdevWDs0v33rrLafNul1R0cqcotynFrfMqWjlDUiZ4y3SjLGI8g7N6oyz9ttJSUmsXbuWw4cPk5qaitlsBrT2vAAnTpxwuq6bb765+AkGevfunW+aj48PkZGRHDhwgHPnzlG7du2rrufvv//mxIkTdO7cmb59++abr9friYyMJDExsVQy6ZdeesmhLb5NVFQU06dPd6iqbOPuMbbd8A0YMMBp9dqbbrqJ0NBQUlJS2LdvH+3bt3d5m61bt2bt2rW8+eabPPnkk3Tq1AlfX1+30ucp7qZl7dq1gLb/BkP+7EWn09GhQwcOHz7Mzp07iY6Oth/LW265xel5M3jwYCZNmuShPRJCFMUdd9zBH3/8wfz58+nUqZO9w3pXmwN4uvzzZD5Zlsu0opRnIGVaQdxJS1HKM0DKNFGuFTXPuVJR83xw736lqOepuzZt2sSGDRvsn//88097/1HuqmhlTlHuU4tb5lS08gakzPEWCXYV0ZVDs17N3LlzmTRpEpmZmQUuk5GR4XT6le1yi6pOnTpOp9sixwU9rb3SsmXLALjtttsKXCY7OxuAVq1aubTO999/n6SkpHzTJ0+e7NL388obiDQajVSpUoU2bdrQvXt3p5kHuH+Mz507B+C0s0UARVGIiIggJSXFvqyr23zggQf4999/+eeffxg7dixGo5EmTZrQsWNH+vfvT+vWrV1OZ94286qqFrqsbX7e77ibltOnTwPw8ccf8/HHHxe6vcTEREDrnBIKPpahoaEEBweTlpZW6PqEEN7TpUsXIiIiWLp0KS+//DKLFi0iKCjIpYtcb5R/nswny3KZVpTyDKRMyzu/qGVaUcozkDJNlG9FzXPyKk6eD+7drxT1PHVHeno6L7/8MqqqMmrUKH755Re+/vpr+vbt61b+ZVPRypyi3KcWt8ypaOUNSJnjLRLsKgH79u3j9ddfR6/XM378eG644QZq166Nv78/iqLwyy+/8Prrrxd4Ivn5+XkkHTqdZ1qt7tu3Dyg4AzaZTJw8eZLQ0FCioqJcWufSpUuJi4vLN70owS53A5HguWPsiW36+/sza9Ys9uzZw/r169m5cyc7d+5k3759zJo1i7vvvps33njDpW34+/vb32dlZRW6rO2iJO9TG3fTYrVaAWjfvv1V//eNGzd2aR+EEKVPURQGDx7M9OnTmTBhAufPn2fYsGFXzTu9Vf55Mp8sy2VaUcozkDINil+mSXkmKqOi5jk2xc3zwb37lZI4T9977z3OnDnDddddx6uvvkp4eDjTp0/npZdeYuHChS512p9XRStzpLyRe6iyTIJdJWDJkiX2pwEPPvhgvvm2Kr3lha0NckFVmVetWkVOTg4dOnRweZ2rVq3ySNpKSs2aNYHLUXhnbMPz2pZ1V+vWre1Rf7PZzIoVK5gwYQI//vgj/fr1o0uXLlddR1hYGAEBAWRmZnLq1KkCq28nJyeTnJwM4LQpq6tpsX23T58+PPDAAy7tp+34FDScdWpqaqV9GiFEWTJkyBA++eQTVq9eDbjWhNHb5Z8n8kkp06RMc5aWopRnIGWaqNxK+p6nqOepq9asWcP8+fMJCgrivffeQ1EUHn74YVauXMmBAweYNm0a48ePd2udUuZ4v8wpb+VN3u9KmeNZ0kF9CUhJSQGcV8vNycmxV2ctClvbXIvFUuR1uMtWjfjUqVP55mVnZ/PRRx8Bpd85vTd16tQJgL/++stp88/ly5eTkpJCYGCgR46DwWDg5ptvtndi+d9//7n0PZ1OZ0/r0qVLC1zONi80NJRmzZoVOS09evQALl/suMLWQeOSJUswmUz55v/2228urUcI4V116tShT58+hIWF0aZNm3wdCDvjzfLvSkXNJ6VMkzLNWVqKUp6BlGmicivJPB+Kfp7C1e+hkpOTefXVVwF48cUX7ftkNBqZNGkSRqORmTNnsnv3bre2K2VOyZY55aG8ASlzvEWCXSWgUaNGgPZjS09Pt0/PycnhzTffLDAS6wpbNPfIkSPFS6QbbJ0Efvrppw5t7hMTE3n00Uc5fvw4ULEz6VtuuYU6deqQkJDApEmT7B1vgvaUwlZtePTo0W53jDhnzhz7Mczr/Pnz9qrPBfVn4MzYsWNRFIU//viDefPm5Zu/c+dOpkyZAsD999/v0Lmhu2np06cPrVq1Ys+ePbz00ktO+0dISUnhp59+sh+zm2++mZo1a3LmzBmmTJlir8YLcPjwYT777DOX91UI4V0zZsxgy5Yt/PLLLy4t763yz5P5pJRpUqY5S0tRyjOQMk1Ubt6853GmqOcpXP0e6p133uH8+fP06NGDoUOHOsxr2rQpjz76KBaLhRdffNHlfo9ByhzwXplTXssbkDLHW6QZYxHNmzfPPvqBM127dmXgwIGA1vTj+++/58CBA/Tp04cOHTqg1+vZvn072dnZ3HPPPXz//fdFSke/fv3YsmULzz//PN26dSMkJATQOsVr2LBhkdZ5NY899hhr1qxh27Zt9OvXjzZt2pCTk8O2bdto1KgRDRo04MSJE7Rt29Yr2y8LfHx8+Pjjj3nwwQf56aefWLduHddeey0ZGRls3ryZnJwcunXrxuOPP+72uufOncvbb79NREQEjRs3JigoiKSkJPvvpUuXLtxwww0ur69jx468/PLLTJ48mVdffZUvvviC5s2bYzAYiImJYf/+/aiqyoABA3jooYeKlRadTscnn3zCww8/zMKFC1m6dClNmjShTp06mEwmTp8+zeHDh7FYLAwZMgSDwYCfnx//+9//eOihh5g5cyYrVqygVatWJCcns3XrVnr37s3+/fud9kUghCjbvFX+eTKflDJNyjRnaSlKeQZImSYqNW/e8zhT1PMUCr+HOnLkCIsXLyYkJIR3333X6bZtzRn379/Pxx9/zAsvvOBSmqXM8V6ZU17LG5Ayx1sk2FVEO3bsYMeOHQXODw4Otge7QkJC+PXXX5k+fTobNmxg3bp1hIWF0bVrV5544gn+/fffIqdjxIgRZGRk8Pvvv7N27Vr7k4VBgwZ5LdjVtGlTZs+ezZQpU9i9ezcbN27kmmuu4bnnnqNXr17069ePpk2bUr16da9sv6xo3bo1v/32G1999RXr1q1j+fLl+Pj40Lx5c2677TaGDh3q8sg1eT3zzDOsWbOG3bt3s3v3btLS0qhatSqtW7fmjjvuYMCAAW6v95577qFjx4788MMPbN++nXXr1mE2m6lSpQp9+vRhyJAh9OnTxyNpqVmzJnPnzmXBggX89ddfHDp0iL179xIaGkqNGjUYPnw4N9xwg8OTmk6dOjF37lymT5/O1q1bWb58OZGRkTz11FOMGTOGm266ye3jKIQofd4q/zyZT0qZppEyLX9ailKegZRpovLy5j1PQYp6nhZ0D9W1a1fefvttAF555ZUC+4wyGAxMnjyZIUOGMGvWLG666SbatGlz1fRKmaPxRplTnssbkDLHGxTV3QbOQhTi9ddf55dffuHNN99kxIgRpZ0cIYQQosikTBNCCFFSpMwRwrOkzy7htr179+ablpKSwsSJE/nll19o3rx5vrbtQgghRFkkZZoQQoiSImWOECVHanYJt5w/f55u3bpRp04dGjZsSGhoKPHx8Rw8eJDMzEyaNm3KV199RY0aNUo7qUIIIUShpEwTQghRUqTMEaJkSZ9dwi1Wq5W77rqLrVu3smvXLrKzswkODubaa6+lf//+3H777fj4+JR2MoUQQoirkjJNCCFESZEyR4iSJTW7hBBCCCGEEEIIIUSFIX12CSGEEEIIIYQQQogKQ4JdQgghhBBCCCGEEKLCkGCXEEIIIYQQQgghhKgwXO6gPikpqVgbCg0NJSUlpVjrqCzkWLlGjpPr5Fi5rqwfq/Dw8NJOQoVT3PKtLCjrv1tvqaz7DZV33yvrfkPF3/fyUr5VhDLDFRX991ZUclyck+PinByXghX32LhSZpRYzS6dTiqRuUqOlWvkOLlOjpXr5FiJ8qiy/m4r635D5d33yrrfULn3XZQ8+b05J8fFOTkuzslxKVhJHBs5+kIIIYQQQgghhBCiwpBglxBCCCGEEEIIIYSoMCTYJYQQQgghhBBCCCEqDAl2CSGEEEIIIYQQQogKQ4JdQgghhBBCCCGEEKLCkGCXEEIIIYQQQgghhKgwJNglhBBCCCGEEEIIISoMQ2knQAghSsPa9SrHjsGdQyAkRCnt5AghhChHVFVl+Qo4elyl63UK17aWckQIIcqyjAyVDRvh+AkVvR46dVS4tjUoiuTfFZUEu4QQlc6atSqvvqECsG8/TPlQCjkhhBCu+/Ibldk/aO9//EnlnlEqDz6gyE2TEEKUMTk5KrPnqMz9FTIzL0///geV3r3g1ZfA11fy7opImjEKISqVjAyVqdNU++et2+DsWbWQbwghhBCX/fff5UBXu7ba6/c/wKzvSi9NQggh8ktNUxn3rMq332uBrnpRcMdg6HcTGAyweg28N1nuAyoqCXYJISqV336Hixchoi5ER2vTdu8t3TQJIYQoP378Rbsx6tsHpk3V8dQTWo2Amd+q/Piz3DQJIURZYDarvPq6yr79EBwM77yp8MN3Cs+M0/Hayzr+7wMFvQ5WrobVayTvrogk2CWEqDRyc1Xm/qoVZveMUmjdSpt++LAUcEIIIa4uNU1l7Trt/cgRWpDrrjsVHhqrvf/0c5X5C6RMEUKI0jb3V9ixE/z9YNpUhd69HJuat2+nMGqk9v7jGSq5uZJ3VzQS7BJCVBqbNmu1uqpVgxv7QvQ1WoF39FgpJ0wIIUS5sGkTWCzQoD40vubyTdM9oxTuGaW9nzpN5Y/FctMkhBClJTlZ5bvZWj487inFIb/O697RCjWqw4UL8PfSkkyhKAkS7BJCVBqrVmuF3o19wGhUqFtXm342vhQTJYQQotxYu14rR3p0zz/vwQcU7h6uvZ/yscrJGAl4CSFEafjtd8jIgMbXQP+bC17Ox0dh+DAtEDbnJxWLRfLtikSCXUKISkFVVbb/q73v0V0r1GrX0j4nJCCFmxBCiELl5Khs2aq979kjfy0BRVF49GGF67qAyQRffi3lihBClDSzWeW337X8d/hdCjpd4SMtDhyg9el15ozW7FFUHBLsEkJUCqdOQUoq+PhA0ybatKpVQa/XmqRcuFi66RNCCFG27T8AOTla2dH4GufLKIrC448qKAqsWw+nTkvASwghStKu3VqzxLBQ6N3r6sv7+yv07aO9//NvybMrEgl2CSEqhf0HtNdmTbUmjAB6vULNmtr0eGnKKIQQohA7dmo3Qe3a4tDJ8ZXq11Po3El7v2JlSaRMCCGEzfoNWl7dravWTNEVA27Wllu3HtLSJOBVUUiwSwhRKdj6TrmmkeP0mjW013PnSjhBQgghypWdu7TXdm2ufvPUt4+2zCoZzl4IIUqMqqqs36C9797NtUAXQJMmUL8e5ObCP5u8lDhR4iTYJYSoFGJOaa9RUY4FX5Uq2mtScsmmRwghRPmRna1y4KD2vm2bqy9//XWg08HJk3D+vAS8hBCiJBw+Agnnwd8POrR3/XuKotgHHlm3QfLsikKCXUKISuHUae01KtJxeni49pqUJAWbEEII5/Yf0Dqdr14N+0i+hQkJVmgSrb3fvsO7aRNCCKGx1cBt2wZ8fV2v2QWXB7DaslUbkESUfxLsEkJUeBaLypkz2vuoKMd5VcK1gi0xqYQTJYQQotxwtb+uvNq11V5375abJiGEKAl79mr5bevW7gW6AJpEQ82akJ0N27Z7OmWiNEiwSwhR4SUmaiMu6vVQrarjvPAw7TVZgl1CCCEKcLm2gOs3UM2aassePuqFBAkhhHCgqip79mrvr23t/vcVRaF7N+39uvXykKIikGCXEKLCSzivvVatqo3AmJe9GWNyyaZJCCFE+eBuf1020ZeaMZ44ASaT3DgJIYQ3nT4NycngY8TejNxdPS51ar/xH61liCjfJNglhKjwzl8KdtWonn9eWJj2miQ1u4QQQjixbz+YzVoZUqeO69+rXQuCgrS+vk6e9FryhBBCAHv2aa/NmoGPj/vNGAFat4KgQEhJhUOHPZg4USok2CWEqPDOX9BeqzsJdtlGY0xM0qo/CyGEEHntvXQDde21rvfXBdqyja/R3h864oWECSGEsDt8WLuOb96s6OswGBT7KI5btnogUaJUSbBLCFHh2YZ9r14t/zxbn125uZCVVXJpEkIIUT7sP6CVIS2bu19T4JpG2uuJk/IwRQghvOnIpf4RG19TtFpdNp072UZllHy7vJNglxCiwrP12VW9ev7Cz99fwceovU9NLcFECSGEKPOsVpX9B7T3LZq7//2oKK3cOX3ag4kSQgjhwGpVOWoLdjUu3ro6ddJeDxyE1FQJeJVnEuwSQlR4Fy9qr9Wc1OwCCA7RXlPTSiY9QgghyofYWEhLAx8fuOYa978fFam9npJglxBCeE3cGcjK1vLqyIjiratmDYUG9cFqhW3/eiR5opQYSjsBQgjhbSkp2mtYqPP5wcFaQCzNw8GuJUuWMH/+fI4dO4aqqtSvX5/bbruN2267za1+XwCsViuLFi1i6dKlHDlyhNzcXKpUqULHjh0ZO3YszZoVo4MCIYQQTu3br702baL15eIu203X2TPaiIxGo3vrOHv2LHPnzuXgwYOcPXuWpKQk9Ho9kZGR9O7dm+HDh+Pv7+/y+h599FF27txZ6DKKorBp0ya30imEEKXp8KV+ERs1KlpefaXOneDESdi6TaVPb/fWd+bMGYYMGVLg/CpVqvDXX3+5tU6LxcL8+fP5888/iYmJQa/X07hxY4YNG0bv3r3dWldlIsEuIUSFd7VgV0iw9urJZozvv/8+CxcuxGg00rJlS/z9/dm7dy+TJ09mz549vP766y6vS1VVXnrpJdauXYufnx8dOnQgKCiII0eOsHjxYpYuXconn3xCz549PbcDQggh2Gfrr6tF0b5fvTr4+2k1Ds6ehago975/7NgxfvrpJ6pWrUqjRo1o3bo1aWlp7Nu3jy+++ILly5fz+eefExIS4tL6rrvuOmrXru103qFDhzh27Bht2rRxL5FCCFHKjh7V8urGRaiB60yH9go/z1XZsaPo66hSpQo9e/YkJyfHYXpQUJBb67FYLLzwwgts3LiRgIAArr32WqxWK3v37uWll17igQce4MEHHyx6QiswCXYJISo0VVVJvhTsCi2kZhdAWrpntrlq1SoWLlxISEgI06ZNo2nTpgBcuHCBcePG8ddff9GlSxduuukml9a3fv161q5dS+3atfnll1+oWbOmfd5XX33F//73P9566y1WrVrlmR0QQggBkKe/rqLVFFAUhchIlcNHtKaM7ga7mjZtyo8//kjDhg0JDw8nKSkJgIyMDCZMmMD27dv59ttveeqpp1xa3z333FPgvDFjxgBw8803u5dIIYQoZbaaXdHF7JzepnUr0OvhbDycOatSp7b7661Xrx6TJ0+259tF9fPPP7Nx40Zq167N9OnTiYjQqgyfPHmSJ598km+++YYuXbrQqlWrYm2nIpI+u4QQFVp6Olgs2vuCgl2ertm1YMECAO6++257oAugWrVq9huSH374weX17dq1C4DBgwc7BLoAxo4dS3BwMHFxcVy0dU4mhBCi2DIzVU6c0N4XpXN6m0v3JZw54/53q1WrRsOGDfNNDwwMZOzYsQBs37696Im75NSpUxw4cABfX1/69OlT7PUJIURJOn5cey1K34rOBAQoNL/UQ8iOwlt+e93ChQsBeOSRR+yBLoD69evzwAMPAO7dV1QmUrNLCHFVtrbnbdu2ZcqUKXzxxResWrWKlJQU6tWrx4MPPkj37t0BWLlyJXPmzOH48eP4+/vTt29fHn/8cfz8/BzWmZ2dzS+//MLKlSs5fWmYqoYNGzJkyBAGDBiQLw27du1ixYoV7Ny5k4SEBHJzc6lVqxY9evTgnnvuIdhWPeuSf//9l8cff5xevfqjqk+hU79gyJB1pKamEhkZyYgRIxg4cCCQp2ZXmmdGXDl06BAA7dq1yzevXbt26HQ6Dh8+THx8PLVq1brq+oxGY4HzFEVBURT0en2+YyCEEGVNccuTV199Nd86vVWeHDmqdVAcGryDW299gv79+zNu3Dg+//xz1q1zXp44Y8vmz8argGdqHQAYDNplfGFlhKuWLl0KQLdu3dxuYiOEqNhcybcHDRoElM59wJ13jub8BS3fqnep9qztPqCo+TZA2zawdx/s3Klya3/P5d3uSE9PJzY2FnB+X9G+fXsANm/eTG5uLj4+PiWavrJOgl1CCJeZzWaeeOIJzpw5Q9u2bUlOTmbXrl28+OKLTJ06lWPHjjFjxgzatm1L586d2bVrF/PmzSMlJYW3337bvp7ExESeeuopjh49StWqVWnbti2qqrJ3717eeecdDh48yPjx4x22PX36dI4ePUqjRo3o0KEDubm5HDp0iNmzZ7Nx40a+/vprAgIC8qU5OTkdS+5DoMukTZs29jRPnDgRq9XKbbfdRkiIAqgeG40xKysLwGnwyWg04u/vT0ZGBkeOHHEp2NW5c2e+++47Fi5cyPDhw/M1Y0xNTWXw4MFSwAkhyo2ilidZWVkOAS9vlidHj2nL160LF89rNx0PPvggWVlZBZYnztSupZUx8fGeO37Z2dl8++23AHTt2rXY67MFu/r161fsdQkhKqbC8u1q1aqxa9euUrkPWLVqI6r6JdWqBhAc7BiUKmq+DdC+ncL3P6j8u1PrFsXdwaUSExOZNm0asbGxBAUF0aJFC7p37+7WAwrbPQU4v68IvdRsJScnh1OnTnGNp6q2VRAS7BJCuGzv3r106NCBBQsW2Ed/Wrx4Me+++y4ffPABqampfP311/aRAc+fP88999zDsmXLePjhh6lbty4A7777LkePHmXYsGE8/vjj9iDNxYsXGT9+PL/++itdu3bluuuus2/7gQceoHXr1g5PnHNzc5kyZQq//fYbP/30k70qb167dq1D0fWlSfNXmThRe6q0du1aJkyYwKxZs7jtttsIvrTKtDQYPXo0W7dudeu4vPrqq9x66632z+Hh4Zw/f574+HgaNGjgsGxKSgoZGRkAxLt459OuXTtGjhzJnDlzuOmmmxw6qD916hRDhgzhjTfecCvNQghRmopanixevJj777+/RMqTo8e02r516sCeXbBu3TpuvPFGXnvtNft2rixP8rpy5MPVK6HLysKPy5XliU1qairvv/8+OTk5JCcns3//flJSUujZsyd33323K4e8QHv37iU2NpbQ0FCuv/76Yq1LCFFxFZZvv/nmmyQlJZXafYDO8DP16o3Jl+bi5tsA8bGQJyn5FJRvx8TE8MknnzhMq1WrFhMnTqRFC9dGPQkJCUGv12OxWIiPj6d+/foO88/kaR8fHx8vwa4rSLBLCOEynU7HCy+84DDMef/+/ZkxYwaxsbHcf//99gIOoHr16vTr14+ff/6ZnTt3UrduXQ4fPsw///xD8+bNGTduHDrd5a4Dq1atyosvvsi9997LggULHAo5ZxfgPj4+PP300/zxxx+sW7fOabDL1zcQM88RHn651lPPnj1p1KgRx44d48yZMwSHaCNTpaVB9+7dqVatmlvHJW/7eYA2bdqwfPly/vzzT4d9AO2iwCYzM9PlbTz55JPUqFGD6dOns2HDBvv0evXqcf311+erHi6EEGVZeShPLtfs0p7mBwYGMn78eIdatFeWJ3Xq1LHPs418mJ4O6zeAwQg3XqU7rCvLE5vs7Gx7vy02ffr0Yfz48cXO///++28AbrzxRnvTSCGEuFJh+XZMTEyp5duLFv2B1bKeqKj8wa6i5ts2W7ZCYiK0aAFRkc6Py5X5to+PD0OGDKFv3760adOGrKwsTpw4wcyZM/nnn394+umn+f777wscGTcvX19fmjVrxr59+/jzzz95/PHHHeYX9b6ispASTQjhstq1axN1xVBSOp2OWrVqkZycTOfOnfN9x/YUx9Z5+pYtWwDo0aOHQwFn06RJEwICAjhw4EC+eQkJCWzYsIGYmBgyMjKwWq2A1jTQ1t7/StWrNyX+QihhV3ROHxkZybFjx7h48SLBwZeDXQ899FCxR00ZOXIkq1atYsWKFdSsWZOhQ4fi5+fH6tWr+fLLL+1PaFytDp2bm8tbb73FmjVreOSRRxgyZAhhYWHs27ePiRMnMn78eM6dO2fvrFgIIcq6sl6eWCyqvcPjiEv3QU2bNrU3Gckrb3mS96bJNvJhVpbKjbeoqMAzzyj5mtm4okaNGhw6dIjExEQSEhLYunUrn3/+OSNHjmTKlCkOg6G4w2w2s3KlVt1MRmEUQhSmrObbimJEtZ6mXlT+vLWo+bbNrO9UvpmlUjcCXn/dtbH9qlWrxgsvvABgH0W3ZcuWTJkyhddff51ly5bx3Xff8eKLL7q0vnvuuYcXXniBH3/8kbCwMG6++WasViuLFy9m4cKFbt9XVCYS7BJCuKx69epOp9ue8Dibb5uXm5sLwNmzZwH4/PPP+fzzzwvcVk5OjsPnH3/8kU8//RSz2exWmn18tTRdWc7Z+vfKzc31+GiMTZs25dVXX2Xy5MnMmTOHOXPm2Od17doVg8HA2rVrCQkJcWl93333HStXrmTYsGEOw8t36dKFL774ggEDBjBjxgyGDBlClSpVPLMTQgjhRWW9PIk7Azk54OsLtsq+NWrUcLps3vLEGX9/hbAwleRkiI+/PChKUSiKQs2aNRk4cCCNGjXiwQcf5N1332X27NlFutH5559/SElJITIykpYtWxY9YUKICq+s59v16+WfVtR826Z1K+117/5CF3PZfffdx7Jly9i8ebPL3+nRowePP/44n3/+OdOnT2f69On2ebfffjuHDx/mwIEDLt9XVCYS7BJCuOxqF9KuXGirqtYHyrXXXmt/2nM1+/btY9q0aQQFBfHMM8/Qrl07qlataq+SfOutt3LhwgWn3zWZtKcwoaEFp80+GmM6fPnllxw8eNCldNkMGjSINm3aOEy75ZZbaN++PStXruTUqVP4+vrSoUMHunbtysMPPwyQrz+vgixZsgSA3r1755tXp04dWrduzebNm9m/f799FDMhhCjLynp5cuKEtnyD+mCrfOBuMOn777/n5MmTAJhzwJILH30EecYYycdZeVKQ5s2bExUVxdGjRzlz5ozLxyAvW8f0UqtLCHE1ZTHfNptVunUfCOoFrqh05nKa8sqbbwNYLGA1wdlYePllcNZq3J18OzJSawtpq+nmqtGjR9OzZ09Wr17N2bNnCQwMpGvXrrRr184+qqSr9xWViQS7hBAlyvbUp0ePHowcOdKl76xZswaARx55JN9wxNnZ2YUWGCaT9uqkBrOdrWZXRobWkeW2bdtcSpdNu3btnBZyNWrUYMSIEfnSe+TIEQICAmjSpIlL609ISAAocDh42+gsqZ6qmiaEEOWAN8uTU5daxtdzcvPkqk2bNuXr6Pjffwv/TkHlSUHCwsIASEpKcjvYlZGRYe8DUoJdQoiS4Ol8+8SJbFC1fLuG84pnbnGWb9usWuX8O+7k27Zr9bz9nrkqKiqKe++912FafHw858+fJyIiosBabJWZBLuEECWqU6dOfPnll6xdu9blQi4tLQ1wXhV51apV9qdEzthqJ1/ZZ1deeWNI06d/D6S4lK6iWLx4MVlZWdxxxx0udypctWpV4uPj+e+//+jYsaPDPIvFYu/XoChP9YUQorzyZnly6pT2GhlZ9D5QPvvsM/v7GZ9a+XkuDBsKTz7uWr8vV5ORkcGhQ4dQFMWhzxlXrVq1ipycHFq3bi3lhxCiRHg63168eBWg5dee6LMqb75t89E0K78ugDuHwNNPFS//Xr16NQDR0dHFWo/NvHnzAK05o8jPM6WtEEK4qGXLlnTq1Ik9e/bw4YcfkpGRkW+ZI0eOsGnTJvtnW2eYv//+u0Nb/RMnTuQb0vdKtmBXYTW7DAaFwEDtfUpKwYEzdzhrCrlu3TpmzJhBWFgYDz74YL75b731FsOGDbM/wbLp0aMHoDWxPGFrW4MW6JoyZQpxcXHUrVtX+lsRQlQq3ixPbDW7nDWLKYoa1bWbsPPOW9wXaNGiRcTFxeWbnpCQwOuvv05mZibXX399vv4an3jiCYYNG8b+/QV3NGNrIn/LLbe4lyghhCgiT+fbf/zxqffT3ELLv/fsc2353377zaEppM3q1av59FMtvXfeeWe++QXl27bRHK+0cOFCfv75Z+rVq8ddd93lWuIqGanZJYQocW+++SZPP/008+fPZ9myZTRu3Jhq1aqRkZHB0aNHOXfuHMOGDbMPOXzrrbfy448/smHDBu666y6aNWtGamoqO3fupGfPnuzfv5/4+Hin23KlGSNAcJDWjDE11XrVZV1x//33ExERQb169fD39+f48eMcP36c0NBQpk6dam96kld8fDwxMTGkp6c7TH/ggQfYsmULMTExDBo0iLZt2xIWFsaBAwc4ffo0fn5+TJw4UYaMF0JUOt4qT07HauuPjIBUD1T2rXapec358+59b8mSJUyaNIkGDRrQuHFjrFYr586d49ChQ+Tm5tKwYUNeeumlfN+LjY0lPj6e7Oxsp+tNSEhg586dGI1G+vTp4+7uCCFEkXky365eoweZmQcA5/cBntDqUif1x45CZqZKQEDhNciWLl3K5MmTueaaa2jUqBE5OTmcOHGCmJgYQBu1vVevXvm+V1C+nZSUxIgRI2jYsCGRkZEYDAb+++8/4uLiqF27NlOnTrX3OykcyZ2REKLEValSha+++opFixaxfPlyDh8+zN69e6lSpQp16tThrrvu4sYbb7QvHxoayqxZs5gxYwY7d+5kw4YN1K5dm4ceeoiRI0dyxx13FLitXBPojYU3YwStk/r4c5CSphLpgX0cPnw4O3bsYM+ePeTk5FCzZk1GjBjB6NGj3R4xMTQ0lJkzZ9oL+r1792IymahevTqDBw/mwQcfpFGjRh5ItRBClC/eKk9sXSBGRsB+DwS7ahQx2DVq1CgiIiLYt28fW7ZsIT09naCgIFq0aEHv3r25/fbbi3STs3TpUqxWK927d5cRvIQQJcqT+fa6f0Zw9sxQr6a3Zg2FGtVVEs7Dwf+gfbvCl7/tttsIDw/n8OHDbNy4kezsbMLDw+nVqxdDhgyhU6dObm0/NDSUwYMHs2vXLrZt24bVaqVOnTo88MADjBw50j6ypMhPUQvr7CaPpKSkYm0oPDy82OuoLORYuUaOk+sq67FKTla59XYti1uzQsFgKPhJzFPPWNmxEz6YHMT1XTJLKoluCw8PL+0kVDgV4dyorOd4Zd1vqLz7XhL7vWevymNPqtSsCfN/8UyPH/HnVO4cpmIwwKplCjqd+33LVPT/eXkp3yry/yCviv57Kyo5Ls6VxnFRVZV+A1QyM+H7WQoNGxS/z66CvPamldVr4OEHFUaPdH078nspWHGPjStlhvTZJYSosFIuPY0PCqLQQBdoNbsAUlM902eXEEKI8ilvE0ZPqVYVFAXMZkhO9tx6hRCisrp4ETIzQa+DCC+PsdG0iXYfceiw3CeUJxLsEkJUWMmXgl1Xa8IIWp9doPXZJYQQovI6e1a7mfHkzZPBoFDl0kNodzupF0IIkV/MKe21dh3w8fFerS6Apk2010OHvLoZ4WES7BJCVFi2YJcrHc5LzS4hhBAAZy/1c1yzpmdvnqoXsd8uIYQQ+Z3U+nunnodGzS1MdGPt9Wy850ZuF94nwS4hRIVlawbuSjcgwcHaTY0Eu4QQonI7d057rV3Ls+utXk17lZpdQghRfKdOadfs9ep5f1vBwYq9tu+hw97fnvAMCXYJISosW78o4WFXX1ZqdgkhhIDLNbtqeTrYdalmV8J5KWeEEKK4Ltfs8m4TRpsm0dqrBLvKDwl2CSEqrMRE7YbCpZpdl/rsSpE+u4QQotIym1UuXGpm6Plgl3ZDdkGaMQohRLGdutRnV0k0YwRocqmT+v8OyQOL8kKCXUKICispWXsND7/6Ex97za40KcCEEKKyOn8eLFYwGrF3KO8pl2t2eXa9QghR2WRmqvYm4VElFOySTurLHwl2CSEqLHufXWFXX1aaMQohhIi/1F9XzZqg03m4g/pLfXZdkD67hBCiWGwjMVYJh5DgkmnGaOukPv4cJCfL/UJ5IMEuIUSFZe+zy6UO6rVXCXYJIUTlFW/rr6um59dtH41Rgl1CCFEstmBXSXRObxMUpFCnjvb+2PGS264oOgl2CSEqrER3RmO81GdXRoaK2SwBLyGEqIzivTQSI1yu2ZWZqZU1QgghiibGNhJjCTVhtLmmkfZ67FjJblcUjQS7hBAVktmskpqqvXcl2BUUdPl9evqlN6qq/QkhhKgUzsZreX7Nmp5vFuPvrxAUqL0vc7W7pLwTQpQjMZdGYowqoZEYbRo11F6PHpP8slhUFbUEyhwJdgkhKqTkFO1Vp4OQ4KsvbzAoBARo79PSAVXFZ9Mn+Gz6RG4AhBCikrA1Y/RGzS6AaramjGWpk3op74QQ5UxJj8Roc801WnDtqNTsKrpLZY519f+8XuYYvLp2IYQoJbbO6UNDQa937alPcLDWvCQtDbCYUJJOajMsJjD4eCWdQgghyg5bM8ZaXgp2Va8GJ0+WsU7qpbwTQpQjZrNKbJz2viT77AK45lLNrhMntXQYDCVbs6xCuFTmqBk+Xi9zpGaXEKJCsndOH+b6d2z9dqWleTo1QgghyjqLReVcntEYvcHWb1eZa8YohBDlxJkzYDaDnx/UqF6y265dG/z9wWSCU6dLdtvCfRLsEkJUSImJ2qsr/XXZ2EZklGCXEEJUPhcvgsUCej1Uq+qdbVSzB7ukuaAQQhSFbSTGqEjQ6Uq2ZpVOp9j77ZIRGcs+CXYJISqkpGTttUjBrvTClxNCCFHxnL3UX1eN6nitaUr16tp6L5SlPruEEKIcsQW7SroJo41tRMajR+WhRVknwS4hRIWUlKQVQO40YwySZoxCCFFpnfNyf11wuRljggS7hBCiSGJitGv8eiU8EqNNo0badqVmV9knwS4hRIV0uWaX6wXh5WaM8qRGCCEqG1vNrlpe6q8LLjdjLFMd1AshRDlib8ZYwiMx2thrdsmIjGWeBLuEEBVS8qXRGN3roF4LjEnNLiGEqHziz2kPOkqiZldikjaSlxBCCNepqsqpS8Gu+qUU7LL12XXhAiQnSz5elkmwSwhRISXagl1VXP+O9NklhBCVV7ytZlct7zWNCQ/XOsBXVbiY6LXNCCFEhZSYCOkZoNNB3bqlk4aAAMVeA/jEydJJg3CNBLuEEBWSvRljmOvfkdEYhRCi8oq/1GdXbS/W7NLpFKpeGunxvPTbJYQQbrE1YaxdC3x9S6fPLoAGDbRXCXaVbRLsEkJUOKqqkmSr2VWU0Rgl2CWEEJWK1apy7lLNrppe7LMLtNEeQfrtEkIId9lHYiylJow2DeprrydOSjPGskyCXUKICicrC3Jztffu9dmlvUqwSwghKpekJMg1aU1jbMEob7F1Un9egl1CCOGWmFOXRmKsV7rpaFBfq1V24kTppkMUToJdQogKJ/FSPyh+fuDv73oV5xDps0sIISol20iM1aqC0ejdpjHV7cEuqREghBDuiInRXutFlV4TRrhcs+vkydJMhbgaCXYJISoce39dbjRhhMvNGDMywGKRmxAhhKgszl3qr8ubIzHaVK+u3aRdkD67hBDCLbZmjFGl3IzRVrMsOQWSkuSeoaySYJcQosKx99cV5t73bMEu0EZ6EUIIUTnYanZ5s3N6G2nGKIQQ7svIUElI0N7XL+VmjP7+CrVra++lk/qyS4JdQogKp6g1uwwGBX9/7X269NslhBCVRvw57cm8tzunh7zNGL2/LSGEqChstbqqVoGQkNJtxgh5OqmXfrvKLAl2CSEqnKLW7AIIDdGyRem3SwghKo94e80u799A2YJdFy5oowcLIYS4Olv/WPXrl2YqLpMRGcs+Q2knQIiyShe3A+OeX9Cf3YWSfh6sJvAJxBreAHOj3piuvRt8gxy+oz+9Ff9591513bnt7ye35wtFS5gpE+PunzEcXYku8TiYMlD9QlGDamOJ6ICp9TDU8Mt1e3UJBzAv/ozAmC1gzsYaVh9T25GYWw9zunq/ufdiiN1KbpfHyb3+iaKl0VOyU/DZMRv9sVXokmNAtaIG18LcoAemDg+gBtVw+jVb2/nwKgWs15KLYd8CDEeWortwFCU7BRQFNaAqbzVryU/KINLSu+f7mpJ4HMPxtejP7kJ3dje69HOXVxnRkay7vi/2LheVmnER9eDfWE9vRz39L1w4CnluoozvxLu8Lsvaj7GumOQwTT9mProGXYuXxsSTmGf0BlOWfZrS9i4MQ6Y5LpdxAcvy91APrYCsJAiqga7lQHQ3vIDiE5A/vas+xLr6/1Aao0Ww7QAAlPpJREFUXI9hzIJipVGIkqakncO441sMJ9ajpMaBosMaGoGl0Q3kdhgDvsEFflcf8w/G3T+hO7sbJSsZfIOw1GiOueUdmJvcUuQ06c4fxrhrDvq4f1HSzoI5B3wCsIZFYanXFVPb0aiB1Rz3I/k0PhunYojZBLkZqCG1MbUYgqnjWNDp823Dd8lLGA/8hqn57eTcPCnf/JKij9mI4egKng3eR+iN56l2JAndx6D6hWGtFo258Y2YW9wOeh+31hs0pVmB85oCuwZd+jAVx/LWnIv+9Gb0p7deuv5IQMm8CFYLptDa+NZqg6ntKKw1WxRpfz1FF78P447v0MduR8m6iOoTjLVGM0yt7sQSfbPb61PSE7CeWIL1xD+o5/6D9ATITASjP0rVhihNbkLX5QEU/9B837Xu+x3rhk+17+l0KHXboOv9nNMyS81MxPxRV8hK8ki5JsTV6M7tR39yw6Vrxz3oshLt81zJ/5Skk/hsn4n+1CaU9AQw+mOteg2mZoMwt7oTlALqrqhWDHt/xXjwd3QXj4IpCzWoBpao68jtMAY1vH7R98nJ+W+u2xp909ucn/+mTHz+mY7h8FKUjAuo/qFYGvQip/uz4J+/GYZh/0L8lr6MNbw+mfcssue/J2O069rSaMKoO7MT49556GO3afeFegOPUoU2HZoSc6EHcGfJJwogJw2f7bPQH1uJLiUW4NI1RB9yO9xf6DXE1egPL8G491d0CQdRctNQ/atq95rt7sVaq2W+5d29DlBP/0vQtGu9eh0gwS4hnDD++y2+a9/PPyM7Bf3ZXejP7sK4dx5Zw+YUGHDxBl3CQfx+ewxdumPgQsm4ABkX0J/bi7VaY8yXgl26C0fw/3kUqjkL9D6oPsHoLx5Bv+JNcjIuYLrucYf1GP77E0PsVqwhdcnt9GCJ7ZczuvOH8Vv4cP59TTqJT9JJjPsWkDX4C6x12+X7rr0ZY5iTJ/SmbPzn3Ys+fk++WUraWTqHnKVzp+XEHLwDrhh+3rj7Z3x2zi7qLnmVGrMVy6LxxV/PhWNY10z1QIrysyx63iHQ5XT7pizMXw+GC0e0C7igGpASh3Xj56hn92G4/1fH5ZNisK7/BHQG9AMmeiXdQniL/tQW/P54CiUn1XH6hcPoLxzGsG8BWUO/Ra3SIN93LX+9hv+mrxwnZiVhiNmIIWYjpqPLybnlA9C5d6lnOPQ3vn+/gGI1O87ISUN/bj/6c/u18u/Ob7FWjwZAyTiP/88j0GVeRNUZUP3D0CWfwnfjR+iST5HTz/Hc1J3ZieHAIlTfYHK7P+dW+jzNsG8+xkN/E22Lo6uABZSMBHQZCRhiNmDZN5+sod+C0d/r6dFdOIz/woedz0w8iTHxJIaDv5Pb80VM7UZ7PT3OGHf+gM+aSSiq1T5NyUpEZ/vtNVlBzi3vO725KXCdW77AsvvH/DMsJtS4Xahxu7Bun43hvnko1a+xz7bu+AnLwme0D/5h2vIn/sESswXu/QVdw24Oq7MunwRZSSgtb5NAlygRPps/w3BsZZG+qz+yDL+/nkex5F6eaMlFH/cv+rh/Mf/3J9mDPwPjFQ8CTZn4LXwUQ+xWh8lKSiy6vfMwHFhEdv//YWl8o9tpKuj8V4+uwf/omvznv6riv/AR9LHbALAG1kDJvIBx36/ozu4ka+R8MPhe3kBOGj7r/0972+tlhwcNtr6xGtQvwSaMqhWf1ZPw2fWD43RLDkFkcGOd05zN3o+q3oGilGzTSiXpBP7z7nd4+A55riH2LyRr6EzU8PzXEIWyWvD9+wWMh/5y3F56PLr/FmM49Be5vV7C1HbU5XluXgcoWYmQfArVx7vXAdKMUYgrKOkJ9kzWxlKtCeb63VF9Ltfk0qXE4vPPtCu/bqca/DE3vsnpn+0Gwa10pZ7Bf959DsEfa2ANzFHXYY7ohDW4dr7vGLd9hWLOAr8QMscsJfORDZguPXHx2fY1mDIvL5ybgc+6DwHI6fWiY8FT0kzZ+C161GFfLTVbYInoiKpohaeSm47/b49pgb4r2JsxOumzy7jrB4dAl6o3Yq53PZbabRyWq5c4HyUzkYKovvmfLpcZBr8i3ZSpqqoFzMzZHk+S9d8fUY+vv3oa9izUAl2AfuS3GF/Yhe5SEEs9vgHr8Q0Oy1v+eh3M2eg6349Ss+CaFEKUNUrGefz+eNIe6FJRsNRtj6X2tfZldBkJ+C98BEyO56Rh909Y8wS6VL9QzPW6OZQDxkN/4/PPDPcSZc7Fd8VbDoEua1g9zA16YA2oejntWUn4rL38FNa460ftAlfRkzVyHpkPrye3/f3avP0LUJJPXd6GasV31TsoqORe93i+GmKlJS6jLtsvdCS3Xg+sIXUc5unj92Dc+UMB33SuoPLf3Pgmh2MJWvnmjGoMwBzZGXNUF1SfQPt0RbXis2YSunP73UqTJ+hPbcJ39UT7ja7qG4K5QU+soRH2ZYyH/sRn0ydF30h4FEp0H6jT2nF66lnMcx9xaPppWaldtyhRHTG8sBvD+B1QpT5YLVhX/c/h62rcbqz/zgGfAPS3vFn09AlRRO5cOyqJx/H7a7w90KUa/DDX746l6uVgryF2K74r3sr3Xd8VbzkEuixVG2n3MQY/bd2WXPz+eg4l8bhb6S/K+a8/vdke6Mrp/SqZD68l+zatbNJfPIbhv8UO2/D5Zzq6zIuYG/XB0sCxlUVpNGP0WfuBQ6BL1RuxVG+GuUEPzNWakm3xRbVCYsG3DN5hzsV/4aP2QJf9GqJue1S0oJsuPR7/hY+CObewNeXjs+kTh0CXNTQCc4OeqL4hgFYG+a6eiP7UZvsy7l4H6C+VX7mdH/HqdYDU7BLiCrozuxwu9PNWrVSSTxMw6xYU1aIte3ZXgetRA8LJHvixx9Llu/Ith5ui3N6vYGozwqH6snLxGOR5qqA/d0Cb3qAbarA2xJS52UCMh5egmLPRXTyGtVYrQHvypEs/h7leNyzX9PVYugulWtGf3oL+yHJy+7xun2w4+Du61DP2z7kdHiC3h1ZryXBgEX5LXtT2KycF45YvyL3hFYfV2mp2hTm5ptDH/evwOXvI11giOwFg3PQJvpsu3xwq2UmoAZfbQlqiriO7ZnMsta5FDa9P0NTm7u/z1RRwTK5GqVof3a3voUS0Q6nVAsu3d6Ge3OTepv+dc/k7oXUhJc6t7xe43vTzWJa+7dJ61TO7tTf+Yeia3ASArs1dWP985fL8S0/qrUdWof63FAKrobvheY+kVYiSYtw5ByXn8kgYOX1ew3ztCG3e5k/x/Wc6ALqUUxj3/Iyp/X32ZX22fGF/r/qGkHnP71otY1MW/j8NR3/hsLae7TMxtR3l8oWk7uIRlJwU+2dzZGey75yplTPZKQTO7Kc1+wb0tnMV7EEXa/VorNWbat9tfhs+/87S5iccwBKmjRNv2PML+oSDWKpeg6nNSJfS5Qm6s7sxHviNnO7jIU/gyNzqLg7Wfpp7no2galVY9J6OXNWKz7r/w+ffmfbl9HH/YsL1Gs8Flv856QR+2dP+Md0YAQ17OixiDalLbpfHMDe9FQxarQYlPYHA+WPg4jHtMyqG/b+RW9TmjHnLmp4vuvw120MxsP32fkMNrg2WXPzn3Yf+zE4AjNu/IbfdaKdNlJxSFJSm/dD1HIcu4nKNbeu+P7DMfehys/z4fXB2L9RpjZp+Hi5dKygtb0Mx+ILBF13Tflj/+eJyecKlhzl/vgyqFV3PZ1BC8j8gFMIbzNH9MDftj6WW9iAj8BvXrrF9N0xFsZgAUHUGsobPwVqjOagqvn8+i/HwEgCMB3/H1GEM1upNANCdP4Tx4O/29ZiibyZnwBRQFHQJB/D/cRiK1YxiMeG74SOyBxX84P5KhZ3/wQvHop7Sglp5z/+8QXlT89sAsDTsjeobipKTos1veceltB/GuPsnVL2v9uA9j6ws1T5qrqebMSopsRgOLMISdZ1DixHd2T0Yd1zuosRSqzXZt3zg0F3M6JGZ1DFtY+hJqOr4HKPY2y+Mcc8vWhcvl+T2fgVTW61MNe6cg+/qd7V9SI7BuHeuQy2sQmUmYtz+tf2jpU5brWaz3gclLZ6A72+z34/6rPuQrFHzte24cx2w91dtHb7BmK4d7lq6ikhqdglxJb3R4aO15uU2yWpYpGPbZx/HPru8RUk6gf7E5Vox5tZ3aRnaFe301aqNUKs0vPzZWW1ah85wtQWUxBMYd36PqjeS0/tlTybdKSXxBD4bPiLg6774/zoG4xVPdWxPgGxMrYba35ubDULVX651Zjz4B+SpSg2QXEjNLnSO/9+8T9StNa8IXl3R/MfSqDfm5rdrTYo8XFX5asfkqt+v2Qx95zHo6rZBueI37Ao17RyWpe9o64psj67tXW6voyCWP1+BrGTQG9EPeO8qSzv90eabr5pzsfz5KgD6m15B8QvxRFKFKDH6PE/dVUWH+dLFPoC5pWPfH4YDi+zvlaSTDk0WzA16Xm5Ob/TH3HTA5WWtJgyH/nQ9UVfkj9YazS+XM36hDk/vVd/LASPn+WH+85asJHw3akGg3N6vut3E0l1K2lmMW78kYFZ/An4ajnH3z2C1OCxjierCqbRIAGrZRmJUdJibD3Jc2aUaEcVl3L8QJU+t6l1Gx4dW1vD6ZN67GHPLIfZAF4AaVAN9d8euB/Le6LiqOGWN7sIR9AkH7Z/NTW7RbnQB9D4OwUvFkovh0N8ur9vU+WEMI79zCHQB6FoORInq7DBNvXipNkpB5bDtOifPfHXnz1p/llUboru+gGaiQniBudlAzE36o4bWdf1L2anoj6+1f7REXaflxwCKgqmdY//AhjzBLcOB3x3mmdrfZz8XrDWaY4nsYp+nP74Gsh2b0Rfkaue/rvMD9nmO539B18tqvvm+q99FsZoxdXwANU95A5dHYgwLgzBn3ZS4KzcDw74F+M+9h4BvbsJ30wytaV0exh3fo1xKp2rwI3vAFIdAF0Dd+n5sTOhub2Lpye0XJu//XPUJwtT68nW7qfVdDrWBr/xNFMZ4+G97kBXQgmSXmpKqwbUc+gPVJxxAuXhU++DOdcDmSxUL6lzr9esAqdklxBUsddqgGgPsF6OG/fMx1++KGlQTw/6FKNnJ9mXNhXTCquRm4LP2Q5T0c2DwxRpeD0uDnvYnL+4wnFhvz2xBax5h2P+bVkvJnIMaWgdzo775Ogu01miB/uIx1BMbUNLitX24dGGrGvywVm0EoFVJtpjI7fCA075hPCI7BcOhvzEe+A392d0Os1SDY5O7KzN7NW8gQ1FQfYNRMnO0jzkpKEkn7UE+i0Ul5VK5HRaWPxnmetdjOLrc/tlnyxfkdnoIxZSJcefl/kJMqh8Eerk/NjeOibdZFr8M2Smg90F/+xSs+1wvGAtj/W8Z6qV16bo9jlKr8KaGiq3ZSlYy1kPL0DW5CeuueZfn19WejFo3fgYXj6NEtkdp692nQkJ4g0MzaYOfQ78kqp9jtVTdhcNas3NjAEpWksM89YpAr62Zgf27V+QthbFWqY81uDa6tLNasg4vwdxsINYqDdGfWIfu/CH7subGl8s/a40WcGIduvOH0Z3/D2v1pvaLaxXF3pm674apKNkpmKJvxnJFAMNjTFkYjizHcOA39Ke3OPQro+p9nfYjFX8pdlirlm1B1eFGArSyo9hUFePun+wfs8z+bMgcTJu8y/gW8hAt2LFMUgtbNi8PlTVX1ma/svnllZ/1Z3dhbnO3S+tWA6sXPDPoinmXfvNKYDV7bWF13yLUjvdoA/EcWqbNr6OVF2p2KpZlWnN4ff93UAzuDTYgREnTn9uHYr0ccLjyYay1RnNUFPu9Qd7zWp/nPFVRsNZwvO6y1mwBMVqXEIrVhD5hP5ao666apqud/0pdx2bHtvM/72AaxgOLMLUdif74anvtINu9i+HgYvSx27SarR3z16I9eSm2X6xaXaoV/anNGA78huHICq2rF9ssFMibH6oqhpOXu86w1GmLkpuOccNHKCmx4BOIpVYrGte7mQ0bAy6NyHiVIJw72y+MOQfd+f/sH63Voh0ra+iNWKtF22va6s4f1JoyupD36c44lhGWGlfk8zWak/exmP7MLsxVr3H7OsAaXBv9lXm7F0iwS4gr+YeT3W8ifn9PQLHkok84SOAsx1GtVJ0RU9tRmNoW3Dmskp3i0AQCgA1TMTXpT85N7+TvTLIQujxPUgB8l7yILuO8wzSfLV9ganknOX3ftF/MmzqOxXBkOUp2KgEzb0b1CbSPApPb6UEw+qM/sgxDzEasQTXJ7fKoy2lyidWM/uQGDAcWYTi2yqGDTVVvxFK/O+amt2Ju2Nvha/lu1pJPYbU1hchJy3ezp0s+heVSsCs17fJDXWfNGM2t7sQUuxXjpSdOPtu+wmebYyfPCVk1WGB5iweM7tWuckkRj4k3WQ/8jXpAq/2h6/EkSg33A7LOqDnpWP64VA292jXoej0DaecK/Y7SejBs+AwuHMEy5z4sQTUgTau3rjTsjq5BV9SUOKzrPgZFh37AeyXeIagQnpA3n1NMmdoIVZeaG15ZY0dRrehS4rBWa4x6xchKurz9YDj9fNr1ROl9yL7lffwXPYGSk4ou7SwBPwxxTDcK5ma3OnQoa2ozAsPeuegyL+I/Z6jWMe2l/hTNLQajhkagi9+HYd98VGMAuT0nuJ4mV6gq+thtWr56eIlDzSlV0WGJ7IS56UDMjW9yaMJoEx+vcv81X3Fz6H785mehSzxmD/iB1p2BueWQfN9zlz7mH3RJJ+yf/4y9ldNBrvfhox5Z7fDZEtGp4IW9UNbokhx/l1cGqK78fOXyRaGashyb5Bv9UfLU/tLfMB7LwmdQT23D/EFrsJggNwN0enS9td+odeX7kHFBayYZ3afYaRLC25Tkws81DD5a0PdSs3Il6aTz7/qH5RtJNt9IukknwZVg11XOf64YsMu2vCWyM+aITlr/Yqvfxbj1S5RMrXywVG2EuUl/x36De04AY/6atCdPXhqJsf5Vk5qPkngc4/7fMBz8I9/AV5Zq0Vpe2HQAap7+GpXUMw7N+nUXj+A/e7BD5QPj3rk8ZJjG9vCPOXHiWgpSlO0Xuj8psQ5d7jh7WKAGXP4/K1YzSspp1EuVHApz5fWHGnS1fP4k4O51gD+W6s1wfQiTopNglxBOWKJvJiuwunbBn6cml425cV9Mbe52a6QhG+Ohv1DMOfbOGV1xZU2nKwNd9nXv+xXVP8x+E2Kt1pisYbMJ3PYZ6sktKLlpWKo2xtR2JObWw8CUbR91MrfH8+ATiP70VgwHfkNJPQN+oZgb9taacxQ0tLETuvP/aRfYBxejy7zcgbyq6LDU7YC56QDM0f3Az/lFvjWiA1zqiwDAZ/0Ucm6ehGr0x3fd/+x9ptmPT066/X1ysvYaFAQGg5MgiM5ATv//Qw2JyBfkArDo/PjmyFhiq7QDPBfsKu4x8RY1Ow3L4pe0D9Wj0fUY57F1W5dP1PpTURT0t/0PxeDrUKHZGcXoj+GBBVhWTEI9tAIyLkBoXXQtB6K74QUALH+/CbmZ6DqMRql7LWriSaybZ6Im/Ad6I0pUZ63Der+iD7cshLdZIjqiP7fX/tlnzXvk9n4FrBZ81v0v/xdytXxOrdIQa0A1ez6ij9mI4b8/MTfshe7cfoz7Fjh8LW+/YK6wRnQkc/gc/Bc+gi41f/96lqjOmDqMdbgZUQOrkzX8J3w2TMFwahNKVgrWsKhLQ44/oPUxs+odFNVKTueHUYNroUs4iHHPLyhJMeATgCXqOkyt7nLpybN935JiMB5YhOHgIod+HgEsNVtibnar1nyosFpDwNl46FFlJ00sa+GK+Exum5HkdnvGI00tjLvmOHz+6cRI9C52HaWL+xfrtst9x1iDa+dvakkRyxoXOy/O91u6smnnFZ/d/e05Y13yplYOXKLreA+Kf9jlz+1GgE8g1g2fop77D3Q6lPrXobthvPZwJP4g1q3fgsEPff+3Ua1W1N3zsP63TGteHxaBru1dMjKjKFOuPHdUJ82oVYM/Cin5ls87uq/z7115nqbnW8aVNOU7/68YGMm+vKKQPfgzfP6ZjuHwUpSM86gBVTA36EVO92fB4IvPumnoMhIw1+uKpfGNKBnnMe6agy5+H6DV/rp4agRQnQb1XHzAmZWM4dBfGA8syjcCuzWkLuYm/TE3u1WrFeVsf/Pde+UfEAvA33ye6Z0f5d6tv6GqNS8/gL20ffPhxQTG7nR7+4W5cgRn1cmgYqoxf358tWtwZ+vO/3++Yr22axN3rgM6PIgu8RhqVrI2LSW2yNcBVyPBLiGcMG77Gp8NU+3NHyzVm6IGVEMfv1frFP3Q3xhOrCfr9k+xRnS0f0/V+2BqNhBzoz5Yq0ejBtVGyUrEcOA3fDZ9Yl+f4dhKdGd2Yq3T1rUE5Wk7rW3HSHb//8NS73r0cTvwW/y0/Um2ccf35HYca7+QtdZsgWH0HJKSkvKt1mfrl+hSz9gvgI07ZuO7xrFPJcORZZiPryH71qku9VOlpMYRMHuwY/KrN7t00zEANbhmAd+8zNRiMMbtM+03L4bYrRi+LvhprJrnqZUt2OW0vy6ArGT8f38Sfdx27bsGPyx12qCYstGd3Y3ems1Lrd/jUOZfYK3pkRscTxwTb7Eue0erOaXo0N8+xWPNO6yntmPd+h0Aug6j0dXvcpVvXKYEVcdw+xTn6z2+AXX/H1oH9n1fxHpqO5bvhmlP8i9RD6/EuvMXDA/9gZJngAEhyhJTu9EY9/1qv7A0HvrbXuPUKVs+p+gwdXkE31Va57OKasXvr/EFfk3Vu3dOGw78ju/y1+w1gazh9bGGRqI7fxBdxgUMpzaj//FOcm5+36HvDjUskpxbp5LjbJ375qOP36Nd+La7D/2RZfj9+ZzDk2nDsVUYDv1F1p3funyhGzjLsSsBa3h9TLYn5OH1Xd7nuDiggGzYZ9ccDDH/kHXHV6ghbvS5cwUlJQ79ict98KRV7cyxtMZUcaGI0Z3Zif9vj9mvBVRjANkDp+WrIV7yZc2Vt06u3Eq5zrL0HXs5AqDU64LuxlfyLadrOQhdy/yBPwDLny+B1YKux1MQFoXl57H2msz2ZXb+gjrgXfRdxno0/UJ4jOrs3HLhfCvq91xyxXqcbuuSSzV6ndXqVRKPY9wxG1VnJKf3KyhJMfj/MsohWE/MRl4I/pV9gbNp0KC+S6nz+2Ocw4iUqn845uh+mJreirVOu6vf01xx7wVgrt+dnBvfAb0Bn1Xv2gcJCPNJ4faas0lMHG/vpN62fdtRcXv7bnFy7D32b1YdW2cW8n92+Tqg7Wj8fnsYzuzEmCehRbkOuBrpoF6IK+hj/sF3/f/ZA1M51z9F1uiFZN/xFRlj/sYapF0sKrnp+C17zaGzW2udNuTc8gGW6H6o4Q3A6IcaUgdTl8cwtbvHYTt524Ff1RUd4Zsb9cHS+EatvXiD7pibDbTPUyy5+frkcEZJPo1x+zeoip6cG15DSTtnr0Jsbtib9Ec3kdP1aS2tR5aiP7LMtbRekQea63Ujp++bmDqMcf1C2xhA1uAvsV4ateNK1iuqYKt5nvLagl3OmjCC1j/Z5UCXP5mjFpB95yyyRvxETv/Lo8w0CdiFLvGE85W4yxPHxAvUhENYt88GQNf5fnRRHTy2buvfr2kDB4TURnfTax5Zp2oxa32LAbo+E1ACq2L57Vkt0BUWieHZrejv/1WrcXnxGNZVH15ljUKUHjW4Flm3f4Y1oFr+eSj5pufN50xtRqLrMQ7VSY1b1T8cVdE7fHaVkngc32Wv2ANdplZDybzvL7KHfEnmmKVYLvX9olhM2nD3rtQIyE7FZ70WvM7ppY2G57fiTRSrGUvNlmQ8soHsmycDoD+zE2OeId7dYanZkpw+b2Dq8qhbgS6LRSU2Dp7a+ilH7z5A+mNbyBz+I+YGPezL6JJO4LtqYpHSZWPc/aND/2E512qduSclg8lU8M2D/tQm/OePvTwaszGA7P9v777jmyr3B45/TpIOuqCUstpCKVAoey9RQMABgoooKK4LeNWrol5Rrz/X1SuK4+LABQ5ExasiooIKomxl7z0LpWWU0pYWOtIk5/fHadKGrqRNmtHv+/XqK2lOcs5zTpLnyfme5/k+179fJkenttD+X1e3NWVyhJkKLvnf/hTn0iG3Dm9HVTEvehLL2vdsjylxvdDf/oVTF2QsOxagHluv9d66YgrqnkUlQ/aHPYXhqX0oxbP+Wpa8iJpzurLVCVFr1Et+9yumsuEDpdT3r/R3TQ0ML/c5Fa3L0dx/VX//7f939PsftGIaiqWIoh53oDZsRdDKl9HlZaAGhZN3x0Ly7liIJTCcyIBzPN7xVYdzdpUebmgJaUThoH9ReMUTWGJ6OhZoKmcSssJBT6CGN0ENicJ4yYRevRptsiXRd8n2K3Hpsa3q81Heaypcd+Alz6uqnndksrZLfwdgQX9mN6BibtzRZb8DyiPBLiEuYbhkZqKi4qngAagXianNcNu/uuzjWtdLB1yaW0OpoDtseSz14+z+Vy/539LAvuZXHJhZJWjlyyhmI0Vdb8USnYj+2BpbMkxjz7uhXgOKev7N1ivAcGS5Q2VVg8IwxfbREi0ChuNrCfnfOEI+vZrAP99ByTzq2HqiWpN31yIKrn2Noi7jKGo3AmOPO8m/eS7m+JKTEBXFNsUtQHbx8PryktNjMWE4uNT2r7lFP7uE/Kb2I7EElFTaSl75w0Wd5apj4mrqxQzbFRrL9vkUvdLB9mdZ+77dc83z7tYe3/mDY+u+UHzs8jIxvdnXtl7TB1fZP2/Xj9rj8+4qZy32LOs/grMHoWkndL3vQs08pv0P6LqPQ4lsgS5hIEoL7btm2e9ggFYID7HE9CBv4hIKhr1AUaexWj3XezL5E+ZjiWpje54aXB813D6Xh374U+Td+ROF/R+kKGkURR2up3DwU+SP/dRuqPelyYkrYzjwq11vq6Iu40p+lAeEYEoq6T2jFJ4vMzSkPIF/vYMuPxNTwhDMCYPQn9pmy7tY1G0CakgUpg7XYynOVeJoWwPFM1EW977Vn9lNve/+RsjsIQSunG4b/lKV02fAZILAAGjcGAiOwNK8OwWj37ULOOqPrSn3Sr9jBS0kYPcC27+W8GYEdR5CYKBWBZ+t4OeA/sgKghfeV5KDrF4D8m/6uMLk/u5uayyXBBGVC2cv+T/9kuc7n0latZgxfz/FvkdX6yvQ3/2NU0PT1cILthmG9de8gBJQr6RNMAShu+w+lJBIdJcVz8xoNqIecvyzJ4Q7XRqwVy7af7cwFdrNolj6+XavLThfZpjypd9TRy8OVPX955JgsSPff/3B3zAc/wtLaGOM/f4BpkL0x7UcfaY2w7BEt8cS3Z6sJtrojv6N/yQy3LFh16a4vrZAjC4vg+AlTxL64UCCfnlCm+myVFtXHkv9GFtdaqXWL7kIr4ZGo5bqXRsRkGNLou+K7VdGrR9na/ug7HsK9p8ZVWcoM7tlRcq8z5d89i79/9Lnl6fs74AdJRfVuo6v0e+AqsgwRiEuUV6FUenz87NKpqG1mCoc9nZpPhGHIuHFzM3skx5eOp5aKThv978aUvmVfP3RVRiOrsRSryHGAQ9p6yid28OaZNIQiBrcAOViut3ySgXXp+CWuSg5aRj2/kjA3h/RZaegy04hcMMHBG74AHPjJC0ZY7sRqOFNK16XPlCbsrlUzzUKzhOUvNr2r6V5N9vMTFCqZ1eDsqtT8jLtZrcpT+mLLaUT+taIK4+Ju1QVILXmXijnKmGlTIVlrgKVu7yK7au56VhW/BcA/XUvo+h0WHJLvqtKRKljFlGcBMfJ77IQHhEYiqnLLZhKTRuuZJ+wzaIE2tCJ8q4Eq1GtKer/gN1jARtn2/1vbnW5w0XRVaP9q3R9Zw8QsONrVH0ghYO13IClL/SUTnyrhjWBnJNOXQgquPFDlIsZGPYv1mYozjiA7mI6gVvnErh1LpbIeEztRlKUNFLrbV2OE8X5+2NjQacrdYz1AVpvuuK2T7GYUArOl0nu7AjD/sV27XRR11tR9AaaNLFw4gScPg3Nm136mp8JWvIvW/DREhpN4N3fYgmqpH1wc1tjadbN7n99+l5Kn67pz+yxW26+5PlVUU1GzPPvtxtmqHQYif7m91HKyUlTaVlX/BdyT6O0HoSu40jtQevnu16kbX1KRMmBVy89eRfCQ8xNOqHqAmy/WXVn9tot16Xvtes5VPo8wdysG/qTWwGtd5Eufa/2W9n22pLvqaoLKDPbXkWq+v6rJ+0vflT5/S8qIGi1fd5gJfeMbZ/VUjOiny1sTBQQoDNhLDyPGlD1bOlF/R+gqNckDId/12bnTVmnzby+fxEB+xdVPawwMBRLVBv05w7ZHlIKz6MaitstsxGKSmZTzDJGkpJSMiOjdfv1T62jcNM857dfGUMQluj2xb2jtOT5mI0l6Q7MRnQZJeW2RCeBg3WopXlX2L/I9r/+zF5MpdrPMvV8qc9Wear8HRBas98BVZGeXUJcQg2z7+ofsOvbkn/yszAcXmb//FIzZ9T75nYCtnymJT0tRZdxkIANH9o9dmnlUO/bOwmbkUTYjCRCLslPZU4YhBpUMi5Pf2S5bQYWjBcxlErmruqDKm9gTEZbXi7jwEdLAkWlurcq1vJbzCVDJy6ZIbEqakQMRf3+Qd7EpeSNm0dR55ttXWj16fsIWv06IR9dSb1v7sCw67syr9enrINLTqSUC+kE/zzVbhy/sYd9jyA1K5XtozvyH11HwmYkEfhXyUQAar0Gdvlr9Cc22M1gY9j/sy3RIoBF7/iMmY6o6THxNublr1P0bFPbn5qVUvWLqrutpS9C4QWUrmPRtdR6bimlgpxqXqnPSl5xUtFg5z6zQtQ2ffJqu3xzoM2MFfzzoyhmLUisopSZ+Ve5kI7l+MYyuTMM+38mcF3J0C9zVFvMLQbYPSdoyVO2tiZsxiVT0l8ym1bArvkl2yjKw7DvJ/vnV5HDSktGa9aG0TXQeiSr5bU1lATOnG5rQhtR1PNu8u/8gbw7FmLscZetR5Yu6xiB698jdM4I6s0bq7XPpa6m69K2ErH3MyIDzxFn32Eaw54f0J07UrKdwFC7IaHK+TS741i6rblUwPavStZjCKao880ANCuONZ26ZPScYdd3BP36REmgq34c+ePmoTR1rJeeu9oaS6O2tqGsUNwT0DprpcloN/RE1QdgSrTPqVb6eAUtecp+5UUFmL+6yz7Q1fM29ONmOx3oUs8ewrL+Y9AHoB/5UskCa5tQcB7Vog0pVS9mll0uhKcFR2BOGGT7V39iPTprkEFVCdzymd3TS/e6NXUYZbcscMscWz2uO7MH/YmSPFbmhEF2n3vDnoV239PSz63q+2/Z8IltWXnf/0sFbpxVnDe4J6ak67TXBYXZelOVniDMWJx32KIqqOXMqFuhgGBMSddRcNPH5E1eTuHAf2IunpFQyc8iYMfXhHxzOyEfDyVwzX9RLpkAzO5iO1q7UHJ/oV3AcVNGH7ueXdbt67qOqfb2K2PX09p4kYCdJeerATu+sZuV+NL9qOx3QFHitaj6gJJ1bfvS1jtQyTlpd85pbpyEWqoXenmq/B1Q6n2u7u+AykjPLiEuYWp3LQF7SmazClr7JoYDS1BDG6E/tdNuGlpTXN+SXlCAcvEsQateJXDNf7FEt0MNbYxyMUO7AlNqWIk5qi3m1o5P940hCOOAhwhaof1o0108S8hnI7E07oDurHYl26qo++3lTq1uFbD5E3TZKZibdsHU6aaSMpVKtB+wZyGFzbtpU7gX9+SxxFY/n5MlpgeFMT0oHPJ08RWWH9Ef/wtFNaNP24wu4wCmzmPty7lxNsGpm7E0bI0a3gQlPxtdxiEUU8lVFFOb4ZgTr7Z7XU4OUFGnOX0gpjbDCDjwCwBKUR4hX4zREtSbCtCd3G739MJ6zQko9b9h13wCKjgx0KXvpd5X42z/F4yeaffZcMUxqYx6cifmRf8q+b94eJ+VadaIkrIOfhRdu+HoWl2G7j/l5ygxL3/d1pMKQD9xgVOzVQU8trn8cmalYJpRMqRX6X4LhjHvVLouy/ENqDu+g6Aw9Fc/V7Igui2ERcOFs1h2/YCu/z1w4YyWowVQ4queSlsITwpaPg3lwhksUa1RQ6NRLqajyzhs1wO1qOddWJp1sXudcv4E5m9uJySkEWpkS9SAEHSZR+1mT1T1ARRe/bJTV4tNiVcTuP4DW3sVsPMb9Cc2Yqkfa0tQb2Vp0AJL084Vrsuw9yf0aVuwhDfD2Ode2+PmZl1R9YEoZiOGvT9ianctulM7bNOXl26LnGWJbo9x8L8wXjEV/bE1BOz5Ef3RFVouyzN70J/ZQ1HHMbaTOyU/kz5Zr/H71W+QqUsgeGEMqJYyxxLQXleNGZh1J7ehTy/plWFqPxKK8681LQ52nT5d0htAd2YPQcueszuJUsMaE7TmDUzrAwguKvlsWKLa2HpnV3hMHGlrSp00VcV4xePU+24ioPUyD/n8BszNu6PLPIKuVFqHol6TwYkJQgLXzkA9tKLkAUMw5J/H/M3fyzxX129ipe2R+eenwVyE7rL7UaLb2h5XWg1A3bMYivJRd/+I0uVG1O0lJ4g6aTOEGwSsfx/D0eLJKS4ZCm1IXoWu1G/H/Nu+sd0vvOwR9MmrUMxFKBYT9b65HXNsb5Tck+hLBeKLkkZjiW5n+98S3Z6ipFEE7NN65xgO/Ua9z0ehhjdHn7rJFkRX9QG23LyOquz7rzrx/VeyUwjY/Kktb7BNYCiWJh3Rn9mN/sgKuOxhQKFl4UrQwbmgjtRzJthVihrehKI+91DU5x50p3dj2PsDAft/RinIRpd7isBNH2Nu1hVzm2El+9F9AgE7v7aNzglaO0MbYqfTo0vbanueyRDO18m3oatkpHV1tl+Zoi63aDNWZmsRtsAVL9sCUaXLZmnQUktJ4KiQhhT1mkRgcScN/anthMwdiaVha/Qnt9nNymm84vFKV1Xh74CmXVAVHYpqwbBvMaakUS77HVCmDC5bkxB+whw/EGPPu+2umujP7oNLgu2WiObajBx2iq9GWEzF3Tz3cClLwwQKbvjA6Vn+irrdhpJ5lMAd2hViXd45dMfW2D3H1PYqjAMfqXAdSs5JAjd+hKroKLzyGbuTIEujRIo63EDA3h8I2PUt+iN/oBT3kDFHtdZ+6NeUIUib9rz9SJQL6Rj2LcKw9wd0F86UX16LCX3GAcg4UGaZqe3VFFz7apnHz1cW7AKMg59Cl3HA9kNBMeVjSFlX5nmLT4yif1OzXbBLl3umwhw1ivGi/TJHc7s4eUwqohbmoqZurXh56WUXzzm1bk9SLeaSpPRDHkMJLxVc1unRD/8/zAsfhdN7ML3WVRtmaSqEwBD0QyqeoU4Ib6GYC+2CIaUZu91e6Y9JXV6GbZhdaWpQfQqum1F+EvNKqFFtMA56gsBVr9qSqeuyktFl2U/WoQbXp2DEGxUHf4wXCVzzBgCFg/5lP1V5vUiKet9D4Pr3MBxbQ+gHl0Fxj1pLaCOKet3tVJnLpTNgThiCOWEIFJzXpp/f80OF9bdesRCtHobkw+UuN7W+UusJXQ0B2+bZ/V/U/Xbb/WZNFUDldKlrDorxol2gC0CftgXQ8s+X/uVgrmIYqR0XtTXmFv0pHPx/BK6ajqJaUApzMJSaZRLQcs9dMry2KqVPoAAwFZSZNdGm3XAof1Qqlt2LUI+shvAm6IY8ZrdM1308lg1z4OwhzN/9A/Mvz0JxAFfpfgtKk/blrVKIGtFln6j4t2N+FvoKvsdqVGsKRrxB8C9TtYCXqQDDJb/7zbG9KRz2fJnXFg77N7rc0+hTNwFov3lL91TVB1Iw4nXU4l5GjnLV9z9ohZY32Nhtgl2gDrRRJ8Hf/x3dxXRCP9YCP4ouD5NFT1q7R6m8H5FjLE07YWzaCeMgLX9WwN4ftZ7WlwoIoeD6DwheMMk2qkR/arvdU9SgCLKHvc2576OhEC5eVAkNrfwik8Pbr4whiPwbPqDed39Dd+EMCqqtrbBtJ6wJ+Td+4PTMhsb+D6BkH7fNEK07n2p3MUNVdBgHP4W5RSUXCCr9HdBAC56dO4Th+Fr3/A4oJsEuIcphHPQk5laDtWlST+3QkvFZTNoVh4atMSUMpqjbbWV6UOXfMhfDwaXoT2xEd+6wNuZYNaMGRWCJTsTU9ipMHcc4PG7ajqJgHPos5lZXaFcZTu3UhhgGhWNu3JGizjdhrqLLcNCqV1FM+RR1GlvuFfnCq/6DJbIlAbsXouSeQg1piClhMIUD/wkB9ZwvcyXUsMYU9Z5EUe9J6C7phQTFEwME1UeXvkfr1mo2ooY0wtysK6aOYyrMQ5OTAzQvd5G23dBG5E9YQMCu+egP/4Eu46B2HBUdakgU+rgevLJ0BAt2DOCn7s+4aG8dU9UxqYssGz+D03sgui26cqaF1/W4FQLDsKx9F/XMftAHoLS6DP3w/5MTF+H1jH0mYziyXKuH8rPBYkYNi8Yc04uiLuPs8qyUpkbGoxv4AEWHVqPkntLyQQXUw9IgDnOrwRi7327rPeSsoh53Yo7pqfXqStuCknNKywUSGIKlQTzm+AEUdb8DNSSqwnUErnsP3cWzmFr0x5x4VZnlxgEPYgltpF2VzjoOAaEUteyP8fLH7PJ3uERwfUxdb8XU9VaUzGS7tszSrBsfpTxOm4DN9Gt9lGBzljasNCAYS3hTLE06Y2p/HeZ4x3u1lqZczMBwuGSiDHNMT7sJVZpWMIzR3Wra1hT1uANz8+4EbPkMfdpm7cJYYCjmJh0wdRqLqd21bih11VRjHuYl/wZAf/VzKJfMHqcEhmCYtBDzsldQ9y/V0kE0jEfXfRy6K6Z4oMRCVM7c9iry7vyRwE2fajmfLqaDoR6WRm0pShqtjdAo76JDQAj5Y+dg2L2AgH0/afmbTPmooY0xt+iPsffECvMYVqWi778upiv57a+v8vuvP7oCQ/Kq4rzBZb935pYDKLjpEwLXvWsburnlXC8+2P8Pnr6rX7XKXHFhAjG3Ha7NcJ+fZTdBi5UlOpG8uxYRuPlT9EeXozt/ElBRI5pjir+cop53ExzelIaRFjKzIOUEJDn689OB7VdGbdiqpGyH/7D1SLZExGBuMxRjr4l2aWocpjNQOHIG5jbDMez+Dv2ZvWC8iBrSUPt90vPuKi+mVfU7wNIoEX1QKOaCXHTZKW77HaCo6iUJHyqQleXE1aNyREZG1ngddYUcK8fIcXJcXTpWo2/UGps5Hym0bev81L6RkZHc+bdz7Nxu5PsJz9C0KdpQICevirhLZGTlkw8I5/nDd6MufcdLq6v7DXV3312534WFKsOuUVFVWLRQITKyZtPBO2vXbpX7H1Rp2gS++6bqNLpue89NRoKWaj1oPdne+Ur7Vle+d3W1jqmKHJfyueu4HD2qcudElbBQ+HWxguJMIvda9NAjFrZth6efUrj26pIyyuelHMVtTmBgILlD/l3tNseRNkMS1Ash/IbFonK+OKVaebMxOqp+8VwAxmrOMi+EEML7pZ3U8jaHhdaszagua4L6s2fBZHLo2rMQQtQpycVJ3+Pj8dpAF0DLltrt8eNSl3sTCXYJIfzGxYtg1tLMEFGDiTwiinv8moqkwRJCCH91ojgFSVycZ06iGjaEgACt3cpw3UzrQgjhN44d036Lx7f0cEGq0LKF1oYcv3RGRuFREuwSQviNXC23IUFBEBRU/RMXa6CsyLmh80IIIXzIiRPabVysZ7av0yk0aaLdr+28XUII4QuO2Xp2eW+vLigJxh1L8Ww5hD0Jdgkh/EZOjnYbXo1cjKVFRGgNapEMYxRCCL91IlXrMRAX57mTKOtQxtMS7BJCiDKOHdNuvb9nl3Z7Mg2KZGSI15BglxDCb+QWz1weUcNgV31rzy4JdgkhhN9KLR7GGOuhnl0ATaVnlxBClMtkUm3DzePjPVqUKkVHQ0iINiw9Nc3TpRFWEuwSQvgN6zDGmvbsCpdglxBC+D1PD2MEaNpU61V2+oz0BBBCiNJS08Bkgnr1oEljT5emcoqi2Hp3Sd4u7yHBLiGE33DZMMbi10uwSwgh/NOFCyqZxbPBezLYJcMYhRCifKWHMHrzTIxWLYqDXcck2OU1JNglhPAb1mGM4WE1W48MYxRCCP9mHcIY1RBCQz13EtW0ONh18qTHiiCEEF7JGjRqFe/RYjgsvmXxjIwp0lPXW0iwSwjhN3IvaI2LdTbF6rK+3mQCVdorIYTwOynFwa64OM+WIzZGu00/C0ajNDhCCGGVfEyrE719JkYr2zBGmZHRa0iwSwjhN2w9u8Jr1iiWHgZpMtVoVUIIIbzQiRPFMzF6cAgjQGSkltTYYoGTpzxbFiGE8CbWnl3ePhOjlbWcKSlgscjFC28gwS4hhN/ItebsquEwRoNBITREuy9DGYUQwv+csPXs8myPAUVRbLNBWodWCiFEXWcyqZwo7iHl7TMxWjVvDgYDFBRAerqnSyNAgl1CCD9im42xhsMYoWQoowS7hBDC/1hnYrQOI/SkuOIynJBglxBCAHDqNBiLICgImjbxdGkcYzAotjZFktR7Bwl2CSH8RskwxpqvK1xmZBRCCL+kqiqpadp9T+fsAkr17JJhL0IIASUzMbZsCTqdb+TsAq28oA1lFJ4nwS4hhN/IcdEwRig1I6Pk7BJCCL+SlQUXL4KiQExzT5cGYmO1Eznp2SWEEBrbTIw+kq/Lypqk/pjMyOgVJNglhPAb1mGMNZ2NESBMenYJIYRfsgaVmjaFwEDP9xiIk5xdQghhJznZt2ZitIpvqZX3uAxj9AoS7BJC+AWzWeXiRe2+K4YxRtiCXXJlRggh/Ik1X5enZ2K0suZ4ST8LBQXS5gghxJGj2m1CK8+Ww1nWYYwS7PIOEuwSQviFCxdK7rt0GKP07BJCCL+SUpwby1uCXfXrQ1hxu5V20rNlEUIITzOZVI4X57xqneDZsjirRXEeyOzzkJ0tFy88TYJdQgi/kFOcnL5ePW02lJoKD9fWIcEuIYTwL2nFyemtubI8TVEUGcoohBDFUlLAZILQUGjiIzMxWtWrp9jKfFyS1HucBLuEEH7BOhOjK/J1lV6PBLuEEMK/WGditA4f9AbWGRklSb0Qoq47XGoIo6J4x0UJZ1iT1Euwy/Mk2CWE8AvWYJcrhjBCSd4vCXYJIYT/UFWVk8XBLm+YidHKGnhLTZVhL0KIuu3oUa0e9LUhjFbxtrxdUp97mgS7hBB+wTqM0RXJ6aFUzy6Ta9YnhBDC8zIzIb8AdDptNkZvEVc8pNLa60wIIeoqa3L61q19r1cXQMviGRmPSZJ6j5NglxDCL7h8GKP07BJCCL9jTQDfOBoCA73nRCquOKmxdaZIIYSoq3x1JkareJmR0WtIsEsI4RdcPYzRGjQzm7RZYYQQQvg+a3L6GC/K1wUlM3idy4ScXGlzhBB1U06uSnq6dt9XhzFac3adPgN5eVKfe5IEu4QQfsF6cuCqYYxhoSX3cy+4Zp1CCCE8K+2k1lZ4W7ArNFShcbR2X3oDCCHqquRk7bZJEwgL857et85o0EChfvFF82PHzZ4tTB0nwS4hhF8oGcbomoZRr1cwGIrXneOSVQohhPCwkpkYve8kKj5eu5VglxCirjp8RLtt7aNDGK1aFg9lPJoswS5PkmCXEMIvuHoYI0BAgHZ7Ptd16xRCCOE51pxd3jQTo5V16EuyzOAlhKijbDMxtvZwQWrIFuw6KsEuT5JglxDCL+S6eDZGKAl25UiwSwgh/IK35uwCiI8vnsHrmGfLIYQQnnK0eBhjQoL39b51RnzxjIzSs8uzJNglhPAL7gx2XZBhjEII4fNyclVyiuvz5s08W5byyAxeQoi6zGxW/WcYY3FPXenZ5VkS7BJC+AVbzi43BLtkGKMQQvi+k8W9uqIaQkiI9/UasAa7ZAYvIURdlHIC8vMhOBhatPB0aWrGdvEixSyzunuQBLuEEH7BnT27cnOkkRJCCF9nzdfV3AvzdQHUr68QGandT0nxbFmEEKK27d+v3Sa2BYPB+y5IOKNxYy1oZzLByZOeLk3dJcEuIYTPKypSyS/Q7rs02FU8G6Pk7BJCCN9XMhOjZ8tRGWtvgGMS7BJC1DH79msXl5Pae7ggLqDTKbSI0+4fl/rcYyTYJYTwedZeXYoCoaGuW29AoHZV6bzk7BJCCJ+XdlI7kYqJ8d4eA/Hx2u2xY9KjWAhRt+w7oN22b++9dbQzrDMyHpM8jB4jwS4hhM+zBrtCQ0Gvd10DacvZle2yVQohhPAQb56J0Sq+RfGMjHJyJISoQ4qKVA4f1u4ntfNsWVylZXF9fjxFLl54igS7hBA+L/eCduvKIYwAgYHabVa2a9crhBCi9llzdsV4ac4uKNWzS4JdQog65MhRKCrSfst78wUJZ8gMu54nwS4hhM+zTiXvypkYAYKKg12Zma5drxBCiNpVUKCSkaHd94WcXSdPQmGh9AYQQtQN1uT07duBovjXMMbjKaCqUp97ggS7hBA+zx0zMUJJz67cC2A0SiMlhBC+yjobVlgYRER474lUw4ZaGS0WOJHq6dIIIUTt2HdA+53d3g+S01vFxoBeD3l5cPasp0tTN0mwSwjh89w1jDEgAJTiWlKGMgohhO+yDmH05l5doPVoaBWv3T92zJMlEUKI2mPt2ZXUznsvRjgrIEAhLlY7kZAZGT1Dgl1CCJ9nHcbo6mAXQGBxkvosGcoohBA+K9WanN6L83VZ2fK8SFJjIUQdkJ+vknxMu5/kRz27ABIS9IAEuzxFgl1CCJ+Xm6udELg6ZxeUDGU8J8EuIYTwWWkntXbCFxIft2yp9WxITvZwQYQQohYcPKQN3W7UCKKj/adnF0BCKy3Ydey4XLzwBAl2CSF8XskwRtc3kEFB2m1WlstXLYQQopakWXt2xXj/iVRCK+3W2tNBCCH82f4D2m1SO8+Wwx0SEgyAzMjoKRLsEkL4PHclqAfp2SWEEP7AV3J2AbacXampMjmKEML/7dtvTU7v/RcjnGXt2SXBLs+QYJcQwufZgl1hrl+3NdiVlSUnHEII4YtMJpUzp7X7vpCzq1EjbUZGswVSTni6NEII4V625PR+lq8LSoJdmVmQnS3nErVNgl1CCJ+X49aeXdpVJunZJYQQvun0aS1wFBQEUVGeLk3VSs/IeFTydgkh/FhOjmqbQKS9Hw5jDA1VaNZMuy/1ee2TYJcQwudZe3ZFRLh+3UHFPbsyJdglhBA+qfRMjIriG8NkSvJ2SU8AIYT/subrimkOERG+UT87q01r7fbwEc+Woy6SYJcQwue5cxijNUH92QzXr1sIIYT7WfN1+cJMjFYJrWRGRiGE/9tXPISxvR8OYbQqCXbJxYvaJsEuIYRPKyxUMRq1++4YxhgUrN2ePQuqKo2UEEL4mrQ0re72hXxdVq2Ke3bJsBchhD/bX5ycPskPk9NbtU7Q9u2I9OyqdRLsEkL4NGuvLp0OQkJcv/7gIFAUKCqC7GzXr18IIYR7lczE6DsnU9Zg16lTkJ8vF1qEEP5pX/EwRn9MTm9l7dmVfEybMEXUHgl2CSF8mjU5fVgY6HSuP5FRFGjYQLufftblqxdCCOFmadacXT40jDGygUKDBqCqMmW9EMI/ZWSoZGRoF6wT23q6NO7TvDkEB4PRWNIeidohwS4hhE+zJad3wxBGq0bR2m16uvu2IYQQwvUsFpWTPpizC0onqfdoMYQQwi2s+briW0K9er7T89ZZOp1iq88lSX3tkmCXEMKn5V7Qbt2Rr8uqsQS7hBDCJ53NAGMR6PUldbmvaBWv3R5NlmEvQgj/s684X5c/J6e3atNGuz18VOrz2iTBLiGET7PNxOjGYFd0I+02/aw0UEII4UusQ0aaNQODwbd6DrSyzsh4zLPlEEIId9hvy9flW3VzdUiSes8weLoAQgj/kpyczJw5c9iyZQs5OTlERUUxcOBAJk+eTIMGDRxax7Rp01i0aBEAH374Id26dbNbbrFY+Pjjj/npp5/Iys7BbO4IlkeBxDLrMplM3HXXXYSEhDB79mwUxbkGtft/1gKDMQT/VWHOrsWLF/PSSy8xYsQInnvuuTKPlxYcHExYWBhxcXF07NiRESNGkJCQ4NR6hRDCn1XWjkRGRjq0jtLtiD7wA2JjutotL92O5Obm0qFDB/75z3/Stm3ZxDE1bUf69esHwPr16yt8Tnn1fat4sJh+Zu2qaRSvApB2RAjh/ao6H1BVtVSwq/x1OHM+4K31uPXx11/VzgdWr4B+/aQery0S7BJCuMzmzZuZOnUqBQUFtGzZks6dO3P06FG+++47Vq9ezccff0zjxo0rXceWLVtYtGgRiqKgquX3pPriiy/49NNPadmyJSGh7Uk5voEtm6dw8eICQkND7Z47f/58W4PrbMN2qeoOY4yNjaVLly6A1thmZ2dz8OBBtm3bxpdffsnVV1/NE088UabsQghR11TVjsyfP5+goKBK11FeOxIba/+c0u1I+/bt2bBhA1OmTOG7775zazviDOuMjADNm8fQt28fCgsLpR0RQng1R84HioqiycmBgABoXU6Mx9nzAW+tx+0oMShKV4YNBUWRerw2SLBLCOESBQUFPPfccxQUFDBp0iTuueceAFRV5d1332XevHlMmzaNt99+u8J1FBYWMn36dBISEggNDWXXrl1lnmMymfjyyy9p27Ytn3zyCe9/aCD15FIKC1/ghx9+YMKECbbnnjt3jo8//pgbbriBdu3a1XgfqzsbY5cuXcpciVFVlT///JP//ve/LF26lPT0dGbOnInBINWyEKJucqQdefrpp3njjTcqXEdF7UhsTMnJzaXtSGBgIEuWLOHf//6329sRZ0SEK4SFQ04WxMd3Zfr06WRlZdmWSzsihPA2jp4PjBr9FqDlsgoIsA8+Ved8wFvr8dJCw7pSWPQM141S6NtH22epx91LcnYJIVxixYoVZGZm0rJlSyZNmmR7XFEU7r//fpo1a8aGDRs4dOhQhev49NNPSU1N5Yknnqiwkj958iS5ubkMHz6cwMBAcnNB0Q1Hrw/k4MGDds997733MBgM3HvvvS7Zx7NntZm9XEFRFAYOHMgnn3xCdHQ027ZtY8GCBS5ZtxBC+CJH2pG1a9dWqx0pPRPjpe0IwFVXXUVQUJDb2xFnWZPqX7hQdpm0I0IIb+Po+cBf67S6Nqmc2FN1zgfAe+txq/r1tVvrLJQg9bi7SbBLCOESBw5oA++7deuGTmdftRgMBtswvtWrV5f7+sOHDzNv3jyuu+66MmPyS8stzkgfXpyRPicXFEVHcHCYbRnAzp07+fXXX7n//vupb21dakBRwGSC7Owar8pOw4YNbVe95s+f79qVCyGED3FnOxJbKth1aTsCoNPpCA0NdWs7Uh2NiidIyS0n2GUl7YgQwls4Wo9v27YGKJucvrrnA+C99bhVg+LN7z9Q9sK51OPuIcEuIYRL5OfnA/aNTmnWBqa8K/IWi4Xp06cTHh7Ogw8+WOl2mjZtCkBKSgqgzcaoqjnk5WXTpEkT2/reeOMN2rdvz+jRo6u3Q5do2FC7rW7ersoMHToUnU5Hamoq6e7YgBBC+ABXtyNFRdoynQJNm5Q899J2BCAnJ4fsbPe2I9UR3Ug7Eaws2AXSjgghvIOj9Xh6+mEA2pdKTl+T8wHw3nrcqn6EdmtNzH8pqcddT4JdQgiXsM60ePr06XKXnzx5ssLl3333Hbt37+ahhx6q8qpLVFQU7dq14+eff2b79u1kZ+dgMb2Dqlq47LLLAPj+++85dOgQU6dOLXNVqbqsefXPVDNvV2VCQ0Np3rw5oM1eI4QQdZGr25FCo7YsMso+J8yl7UhOTg5vv/02Fot725HqsPbsupBb+fOkHRFCeANH63Gz6TT16kGLuJJlNTkf8OZ63CoiAnQ6yMiAjIyyvbukHnc9yXwmhHCJ7t27M3fuXP766y+ys7NtjR1Aeno6mzZtAiAvL8/udenp6Xz44Yf06NGDESNGOLStKVOm8Mgjj3DffffZHuvadQADBw7k/PnzzJ49m+uuu46OHTvalhcWFhIQEFDtxm7XtgEAPPl4tV5epQYNGpCamkpOTo57NiCEEF7O1e1IYaF227hR2W2V144MGODedsQ6db0zohtZtw3Z2ZZKnyvtiBDC0xytxyGPdomg1yu2Za44H/DGetxKr4f4lnA0WcvbdfnAss+Rety1JNglhHCJvn370q5dOw4cOMCjjz7K1KlTadWqFUeOHGH69OmYTCaAMtP9vv766xQVFfHEE084vK2ePXsyd+5cfvnlV776OhfowIsvXgvA+++/D8ADDzwAwKZNm5gxYwbJyckEBQVx7bXX8uijj1Y5df2l4luN4PhxaN0aEtvaL0tNTWXnzp1Ore9S1mmVPTYdshBCeJir2xFjcbArOrrstqztyK+//sqFCxfo2LEj11xzDeC+dqSyE7iK2pHivMsAHD5ipnVCxeuXdkQI4WmO1uOgkFRqCGNNzge8vR4vrX17a7BL5fKBZetqqcddS4JdQgiXUBSF6dOn89hjj7Fv3z67GVgaNmzI5MmTmTVrFhEREbbHly9fzpo1a5g4cSLx8fFObS8hIYE77/wHX3+nNQqRkQr79u1j0aJF/POf/6RBgwakp6czdepUWrduzSuvvEJycjKffPIJwcHBPPLII05tb+R1zzLrI5X2HeCZp+yvBi1evLjGwa7z588D2B0fIYSoS1zdjpT07Cr/pCEhIcF2ImTlznbkueeeq3CZI+3IocOVB7ukHRFCeJqj9TiE0744OX1Nzwd8qR5Paq/wy69qhXm7pB53LQl2CSFcplmzZnz++eesWrWKXbt2UVhYSKtWrbj66qtZuXIlAK1atbI9f+3atQBs3LiRbdu22a3LmoB4xowZhIaGMnLkSK677jq752Rr7QGhoRAQoF0VatOmDTfeeCMACxYswGg08tJLL9G8eXOGDBlCamoqCxYs4L777iM4ONjhfbPmTcnIcPglDrt48SJpaWmA/fERQoi6xpXtyPnzWjuyZu1/OXgwrNx2pDRVVd3ajtTU4SOmCpdJOyKE8BaV1eN//LESAEXXytazq6bnA6V5ez2e1E673X9AK2vpHlxSj7ueBLuEEC5lMBgYOnQoQ4cOtXt8165dAPTo0aPMa3bv3l3h+g4ePFjh67Kztdv69WHRokXs27ePDz/8EL1eD8CxY8do0KCBLdkjQIcOHfjll184ceIEbdu2LbPOikS7Mdj1+++/o6oqLVq0ILq88TZCCFGHuLodOZl2iJNp5b+uNHe3IzV1+LC5wmXSjgghvElF9fhff2k9n0JDe9Csqf1rqns+UJq31+OtW0NgAOTkwIlU+wT9Uo+7ngS7hBBud+7cOZYvX079+vUZPHiw7fHnnnuuwu7A999/P9u2bePDDz+kW7du5T6nuKcv4aG5fPDBB1x77bV07drV7jmF1nEsxQoKCgCcTkxp7dl11sXBrszMTD766CMAbrnlFteuXAgh/IS1HWnQoIFD7Uh6usro6/8B6jbee+9DevbsVun6c3Pd347U1OEjZlS1bC4XaUeEEL7g3LlzbNy4AqhP5y6DbXVZTc8HrHyhHg8IUGjfXmXnLti1uyTYJfW4e3h+Dk4hhN84cuRImcYkPT2dxx9/nLy8PKZMmeLSrsLWnl1Z52ZjNBrLjNlPSEggLy+P1atXA2AymVi+fDmBgYHExMQ4tS1rz66LFyEvr+x0wc5SVZW//vqLSZMmkZGRQa9evbjhhhtqvF4hhPBlVbUj//rXvxxqR46nlNwvvrhfqVmzZrm9HakJRYHsbJXMzJLHpB0RQnijyupxozEPXcBDdOroXGJ4R3h7PW7VpbN2u3OXKvW4m0nPLiGEy8ybN49Vq1bRrl07GjVqRGZmJjt37sRoNDJx4kRGjhzp0u1lnwfVcohTp37g4YcfIioqym752LFj+eabb3jmmWfo27cvqampJCcnc+eddzoddAsJgXrBkF8AGeegRYjjr925cycvvvgioDWw58+f58CBA2QXR+uuvfZapk6disEgVbIQom6rqh258cYbycrKqnI9pYNdVTl06BALFy7koYfc247UhE63A7PxJV58EerXl3ZECOG9KqvHI6P+Ru7FEbRv59rZBn2hHreeD5w9C2ZjEb8tOc+q5QelHncjOZJCCJcZNGgQmZmZHDp0iJ07dxIeHk6/fv0YN24cPXv2dPn2zp9XMRfNoEH9lowdO7bM8qioKN566y1mzpzJ+vXrCQsLY8KECfz97393eluKotAoWuXECS1vV+kx9lVJTU0lNTUVgKCgIMLDw2nVqhUdO3ZkxIgRJCRUMr2WEELUIa5qR44dd7wH7n//+1/i4+Pd3o7UhKkoDUhjwwZpR4QQ3q2ievyGG8bx5NPdAWjfzrXb9IV6vPT5AASRnxdO64R4rruuk9TjbqKoqurQrwFHrqJVJjIyssbrqCvkWDlGjpPj/PVYvfSKhSVL4f57FSbc6porRLZjZTIStPT/ACi8+mUwBDLlUQtbt8FzTytcNdy1V6ScKZ9wLX/4bvjrd7wqdXW/oe7uu6P7ba2vn35K4dqrPVNfu9JHn1iY+wWMug6enOriLCTltHee4CvtW1353tXVOqYqclzK58hx2bZd5aFHVBo3hu+/rRvZlCo6LnfcbSH5GLz8H4UrLvf9NsopxW1OYGAguUP+Xe02x5E2o258yoQQfsmaoL5+/drZXqPiXtGuTlIvhBDCtY4f125btvBsOVylVbx2MpSc7OGCCCFENe3br90mtfdsObxB6bxdwn0k2CWE8FnWBPUNGtTO9hoVzwKckSENkxBCeKvcXJVzxYnc/SXYldBKu00+piWmF0IIX7P/gFZ3uTpfly/q3Fk7Bjt3ebggfk6CXUIIn5Vd3LOrQa317NIaJunZJYQQ3suanL5RIwgN9Y+Tqrg4MBi0GYHTz3q6NEII4Tzp2VXC2rPrwEHIz5cLGO4iwS4hhM+y9uyqrWGM0Y2023Pnamd7QgghnGcd6hff0rPlcKWAAIWWLfQAHJWhjEIIH5OdrXLqlHa/XaJny+INmjWFxo3BbJbeXe4kwS4hhE/Kz1fJz9fuRzWsnW1aZzLOkGCXEEJ4rcNHtKvkbVp7uCAu1qaNFuySvF1CCF+z/4B2GxsL4eH+0eO2JhRFoVcP7f6WrdKzy10k2CWE8EnW3lX1giEkpHYazUbWnl0ZkjNFCCG81ZGj2m3r1v51QtWmtTXYJe2PEMK3WINdMoSxRK+eWhu1eauHC+LHJNglhPBJ1t5VUY1qb5vWHmTGIsi9UHvbFUII4RhVVTl8RLvvtz27jnm2HEII4ax9+7UgfZIkp7fpUdyz69AhyMmRixjuIMEuIYRPsvbsahRVe9sMClKIiNDuZ0iSeiGE8Dpn0uHCBdDr/WcmRqu2bQwAHDsOFoucGAkhfIOqquwvTk7fXnp22TSKUoiPB1WFrds8XRr/JMEuIYRPsvXsqsVgF5T07pIk9UII4X2OFPfqim8JgYH+1YMgLlZHYAAUFMCp054ujRBCOObsWTiXCXodJLb1dGm8S6+e2u1mydvlFhLsEkL4pIwMrVGozZ5dUJK3S3p2CSGE97Hl60rwbDncwWBQaFHcW02S1AshfMW+4nxd8a0gONi/LkLUVK8exXm7tni4IH5Kgl1CCJ90ztazq3YbzUYyI6MQQnitg4e0CyH+lpzeKqGVdit5u4QQvmK/LV+Xhwvihbp1BZ0OUlPhTLr07nI1CXYJIXxShgdydkGpGRnPSYMkhBDeZu8+7dZfZ/xq1UoL4h2VGRmFED5iny1fl39ehKiJsDDF1l5t2uzZsvgjCXYJIXySLUF9Lc7GCCU9yWQYoxBCeJeMDJX0dO0qeXs/7UHQytqzS4YxCiF8gKqq7C8exuivFyFqqk9v7XbjJrmI4WoS7BJC+CSP9eySYYxCCOGV9hT36mrVCkJC/LMHQat47fZ4CphMcmIkhPBuqWnaDLmBAf6ZS9EV+vbR2qtNm6VedzUJdgkhfE5+vsrFi9r92p6NsWQYY+1uVwghROX27NVOEjp28HBB3KhZUwgOhqIiOHnS06URQojKWYcwtmmjTbIhykpqD+HhkJuLrReccA0JdgkhfM6ZdO02NBRCQz2XoF5V5eqLEEJ4i717tdsOSf57QqXTKcS31O4flaGMQggvZ0tOL0MYK6TXK/Tppd1fv0HOLVxJgl1CCJ9z5ox227RJ7W+7YUPttqgIcnJqf/tCCCHKMplK8sL4c88uKJmR8chROSkSQng3SU7vGOtQxg0bPVwQPyPBLiGEzzldHOxq0rj2tx0YqFA/QrsvebuEEMI7JCdDQYHW47dlC0+Xxr1at9ZOig4f8XBBhBCiEiaTyqHD2n3p2VW5Pn202/0HICtbLmS4igS7hBA+5/QZrRFo0tQz25e8XUII4V22btduO3XUhvr5s3aJ2u2Bg54thxBCVObIUe0iRFgotIjzdGm8W6MohbZtQFW1RPXCNSTYJYTwOWdOa7dNm3jmhMaaFD8jwyObF0IIcYmt27SLID17+HegC6BtG+02PV16AAghvNfu3dpthw7+fxHCFfoW9+7aIHm7XEaCXUIIn2NNUO+JYYxgn6ReCCGEZ5lMKtt3aPd7dPdsWWpDaKhCbKx2/6D07hJCeKlde7SgTedOEuhyhC1v1yawWCTg5QoS7BJC+Bxrzq6mHhrGGFU8jDEjQxoiIYTwtIOH4OJFCAsr6fXk76xDGQ8e8mw5hBCiItaeXZ06erYcvqJTRwgJgexsqdtdRYJdQgifYjKpZJzV7ntiNkbQxtUDnMv0zPaFEEKU2LJVu+3eTZvCvS5ol6jt54GDctFFCOF9MjJUTp8BnQ46JHm6NL4hIEChZw/tvszK6BoS7BJC+JSMDDBbwGCAhg09U4ZGtp5dntm+EEKIEnUpX5dVYlvtVpLUCyG80e492m1CK23otXBMv77FQxk3yoUMV5BglxDCp1jzdTVu7Llkl1HFQTbJ2SWEEJ6Vn6+yozhfl/WKeF2QWDyM8dQpyMmVkyIhhHex5uuSIYzO6dtbu92zB3Klbq8xCXYJIXzKadtMjJ4rQ3S0dpuRAWazNERCCOEpW7aCsQiaNYP4lp4uTe2JCFdo1ky7L0nqhRDeZudO7baTJKd3StOmCvEttVEsm7d4ujS+T4JdQgifYk1O76mZGEGbjdFgALMZzspQRiGE8Jg/12kXHAb0A0WpWydV7dtpt3v3ebYcQghRWm6uahti3aObR4vik/r20W5lKGPNSbBLCOFT0k5qFX9MjOdOavR6xTYT5MmTHiuGEELUaaqqsm69dn9A/7oV6ALoXNxjYucuOSESQniPbdvBYoG4OGjcuO7VzTXVt481b5fWzonqk2CXEMKnpKVptzExni1H8+LhIydPebYcQghRVx06rA0nDw6Gbl09XZra16Wzdrt7N1gsckIkhPAOJZOGeLggPqprFwgK0kaPHE32dGl8mwS7hBA+JbU42BXr6WBXc+325Ek5wRBCCE/4a51226snBAXVvd4DbVpDvWC4cBGSj3m6NEIIodm8VbvtVYdmyHWloCCFHt21+xs2erYsvk6CXUIIn5Gfr3KueAZEz/fs0hpw6dklhBCe8Zc1X1cdHMIIYDAodOig3d+1y7NlEUIIgIxzKseOgaJgC9gI55UMZZSL6jUhwS4hhM9IK86PVT9Cm4nKk2KKe3alSc4uIYSodVlZKvv2a/f79/VsWTzJOpRxh+TtEkJ4gT//0m7bt4eIiLp5IcIVrEnqd+yEvDyp36tLgl1CCJ+RmqrderpXF5Tk7DolwS4hhKh1f64DVYW2bSA6uu6eUHXvpu37li2St0sI4Xlr/9Tqocsvq7v1sivExmgpU0wm2Lrd06XxXRLsEkL4DG/J1wUlObuyz8OFC3KCIYQQtWnVaq3eHXRF3T6h6tRRy9uVmQVHjni6NEKIuiwvT2XLFu3+5QM9WxZfpygK/Yp7d63fIOcZ1SXBLiGEz0hL0yp7b+jZFRqq0DBSu38i1bNlEUKIuuTCBZVNm7X7g67wbFk8LTBQobs1kfEmz5ZFCFG3bdwExiLtonR8S0+XxvfZ8nZtAFWVgFd1GDxdACGE90tOTmbOnDls2bKFnJwcoqKiGDhwIJMnT6ZBgwYOr2fLli088MADVT7vnnvuYdKkSWUeTzmh3cbFeseV/BYttKvpKSmQ1L7i5y1ZsoQFCxZw5MgRVFUlPj6e66+/nuuvvx5FcW5fLBYL3377LQsXLuTQoUMYjUYaNmxI7969mTx5MklJSTXcKyGEKOurr75ix44dHDlyhKysLIxGI1FRUXTv3p0JEybQpk0bh9e1ePFiXnrppSqf99xzzzFixIgyj/+1Thva0bIFtIr3jvbAk/r2VvhrncqGjSq332Z/PE6dOsW3337Lvn37SEtL4/z58+j1euLi4hgyZAjjx4+nXoDe4W3df//9bNu2rdLnKIrCunXrqrUvQoiaqeo7+uabb9K/f3+n1rlhwwa++eYb9u7dS25uLqGhobRv354xY8YwePBg2/NWrNQCMgMvw+nft6Ks7t0gIABOndYurLeIs19+8uRJxowZU+HrGzZsyC+//OLUNs1mMwsWLODnn3/m+PHj6PV62rZty7hx4xgyZEg19sKzJNglhKjU5s2bmTp1KgUFBbRs2ZLOnTtz9OhRvvvuO1avXs3HH39M48aNHVpXVFRUuScuoAVxlixZAkC3bt3KLFdV1Ta1enx8NXbEDVq0gO07IOWECpTfqL/66qssXLiQgIAAOnXqRL169di1axfTp09n586dPPfccw5vT1VVpkyZwrJlywgODqZXr16EhYVx6NAhFi9ezNKlS3nvvfcYNGiQi/ZQCCE0c+fOpaCggNatW9O6dWtAuxDy66+/smzZMqZPn87AgY6NW4mNja2wLbh48SKrVq0CoGvXruU+Z9Ua6xBGZ/fCP/XrB7yjJTLOylaJbFDSHh05coT//e9/REVF0bJlS7p160Zubi67d+9m1qxZLFu2jA/fnUm0g9vq378/zZo1K3fZgQMHOHLkSLltuBCidg0ZMoR69eqVeTw62tFvu+brr7/mrbfeQlEUOnXqRJMmTThz5gybNm1i48aN3HXXXdx///3k5FhYs1Z7zfBhEuhyhZAQhS6dVbZshQ0bywa7rBo2bEi/fv3KPB4WFubU9sxmM0888QR//vknISEhdO3aFYvFwq5du3jqqaeYNGkS99xzT3V2xWMk2CWEqFBBQQHPPfccBQUFdhWcqqq8++67zJs3j2nTpvH22287tL74+PgKgzt//fUXS5YsoUmTJvTo0aPM8qwsyMkBnU67mu8NWsQpgMrxlPKXL1++nIULFxIREcE777xD+/Za96+MjAwefvhhfvnlF/r168dVV13l0PbWrFnDsmXLiImJ4X//+x9NmjSxLfvoo4944403eOGFF1i+fHlNd00IIey89tprtG/fnqCgILvHv/vuO9544w1efvllfvrpJwyGqn9aduvWrcKAyIIFC1i1ahVdunQhppwx63l5Kus3aPcHD5ITKoCY5grtElUOHITVa+D6USXL2rdvz1dffUVCQoLday5evMiTTz7J5s2b+ezzz3m8rWPbuvPOOytcNnHiRACuueYap/dBCOFaDz30EM2tCWarKSsri/fffx+DwcA777xj9/t827ZtPPzww3z++eeMHj2avfvqYSyC1gmQ6GB9IqrWt4/Clq0q6zeo3HxT+W1ey5Ytnbp4XpGvv/6aP//8k2bNmjFz5kxiY2MBOHbsGA899BCffPIJ/fr1o3PnzjXeVm2RnF1CiAqtWLGCzMxMWrZsaTesUFEU7r//fpo1a8aGDRs4dOhQjbdl7dV19dVXl9v12dqrq3kzCAryjhMca9DtxInyl3///fcA3HbbbbZAF0CjRo2YMmUKAF9++aXD29u+fTsA48ePtwt0AUyePJnw8HDS0tI4d+6cw+sUQghHdO3atUygC2Ds2LHExsaSmZlJcnJyjbdjbQuuvfbacpf/sdxIYSHENNdmYhSaIYO1dnH5Cvu8Lo0aNSoT6AIIDQ1l8uTJAGzeurXG209JSWHv3r0EBQUxdOjQGq9PCOF5e/bswWg00qtXrzIXort3707fvn1RVZV9+/bx46JCAK65WpEhjC7Uv7jD1tZt2sUed1q4cCEA9913ny3QBVpnBet5oDPnLd5Agl1CiAodOHAA0K7C63T21YXBYKBLly4ArF69ukbbyc/PZ82aNUDFJzjeNoQRSroTn0gFs7lsA2Q9fuX1VOvRowc6nY6DBw9y+vRph7YXEBBQ4TJF0X5c6PV6wsPDHVqfEEK4gl6v5XyqrI5yxMmTJ9m1axcBAQEVBkx+khOqcg0ZrN1u2w5ZWY6dEFl74QUYava+ASxduhSAgQMHOj10RgjhnRyt0y9ciGD7DhN6HVw1zM2FqmPiW0JsLBQVwfqN7tvOhQsXSE3VZtwq77ylZ8+eAKxfvx6j0ei+griYBLuEEBXKz88HqDB4Ur9+fYAa9+xauXIl+fn5JCYm0qpVq3Kfk5ys/XhvFV+jTblU06Za4kijEc6kl11e2fELCAiw5VJw9Pj17dsX0LoZnzlzxm7ZRx99RE5ODqNHjyYwMNCZ3RBCiGr79ddfSUlJIS4ujri4ChKKOMjaq2vAgAFERESUWX72rMq6DUUAXDW8RpvyOzHNFZKSwGKBX5dW/fyCggI+++wzAC4b4Fyy6vJYg11XX311jdclhKi5RYsW8dprr/HGG2/wzTffOHxhtbSOHTsSHh7O5s2b2XpJD9Bt27axYcMG4uLi2LVHy684eDBERclFCFdSFIUritNhrllb/oWMzMxMPvroI1555RVmzpzJ8uXLKSoqcmo71nMWKP+8xXrOV1hYSEpKBflbvJDk7BJCVMg602JFDeTJkycrXe6oqoatQEnPLm+aeUuvV4iN0RLnp6RoQyxLi4yM5OzZs5w+fbpMEO/8+fNcvHgRcPz49ejRg0mTJvHJJ59w1VVX2SWoT0lJYcyYMTz//POu2DUhhCjXl19+ydGjRykoKODYsWMcPXqU6Oho/vOf/9h6eFVXVW3Bkt9AVaFLZy24I+xdf53Cvn0qPy1SGX8L6HQlxygnJ4e33noLgOzsbPbs2cP58+cZNGgQt906Hla+UO3t7tq1i9TUVOrXr8+AAQNquhtCCBeYM2eO3f8zZ85k4sSJttx6jggLC+P//u//eP7553nggQfo3LkzjRs3Jj09nV27dtGlSxemTHmOBx/ReoDdMlbqZXe4fKDCV1+rrFsHRUUqAQH2x/n48eN88skndo81bdqUadOm0bFjR4e2ERERgV6vx2w2c/r0aeIvGUpjPecD7bzFmRmYPUmCXUKICnXv3p25c+fy119/kZ2dbQt+AaSnp7Np0yYA8vLyqr2NjIwMNm/ejF6vrzBRu9mscuiwdr9N62pvyi1atNACcSknoF9f+2XdunVj2bJl/Pzzz2WmeV68eLHtvjPH74knnqBJkya89tprrF271vZ4y5YtGTBgAMHBwdXaDyGEcMT69evZvHmz7f+mTZvy/PPP2+UlrI49e/aQkpJCREQEl112WZnlJpPKwh+1q9rXjZATqvIMvRJmvg+paVp+l149S5YVFBSUmYJ+6NChTJ06leBycrE549dffwVg+PDhDk1QIIRwn+7duzN69Gi6dOlCVFQU6enpLF++nDlz5jB79mxCQ0MZN26cw+sbMmQIERERPP300+zcudP2eGhoKH379mXl6kYUFUHXLgY6drC4Y5fqvA5J0DASMrO0oep9emuPBwYGMmbMGIYNG0Z8fDxBQUEkJyfz6aef8tdff/HII4/w+eefVziDbmlBQUEkJSWxe/dufv75Zx544AG75dU9b/E0GcYohKhQ3759adeuHXl5eTz66KPs2bOHvLw8du3axaOPPorJZAKoUd6U3377DbPZTO/evYmKiir3OSknID8fgoOhZctqb8otWhQnqT9+vGzX4gkTJqDX6/n999+ZOXMmp0+fJjs7m4ULFzJ79mxbLwhHj5/RaOSRRx7h1Vdf5d577+WPP/5gy5YtzJ07l6CgIKZOncrHH3/ssn0TQohLvfvuu6xfv55ly5bx4YcfEhcXx/3331+mF4GzrL26hg4dWm6emD//gvR0iIxUGHpljTblt+rVU2zDO3/4yb5Naty4MevXr2fdunX8+OOPPP3002zfvp0JEyawvzi/ZHWYTCb++OMPQGZhFMIb/P3vf+faa68lJiaG4OBgWrRowd13381rr70GwMcff0xBQYHD65s3bx4PPfQQ3bp148svv2TFihV8+eWX9OrVi9mzZ/PVvKcAmDyxnlv2R2gjSazXgFasLKnbGzVqxBNPPEGPHj1o2LAhoaGhdOrUiRkzZnDVVVeRm5vL3LlzHd6Odbbdr776innz5nHu3DnOnj3LnDlzWLhwodPnLd5Agl1CiAopisL06dNJSEhg3759TJo0iSuvvJJ77rmHrKws20xO5eVWcZQjQxj3F/8OT2yrVfjexDqs8mg5k5C1b9+eZ555hqCgIObNm8cNN9zANddcw6uvvkqvXr0YOFAbhO/o8Zs7dy6//vorEyZMYMqUKcTGxhIWFka/fv2YNWsWISEhvPvuu2RmZrps/4QQojzh4eF069aNN998k/bt2zN79mz27t1brXWZTCZ+//13oPy2QFVVPv9S+4E/dkyw18zI641uHK0dm9Vr4NSpshdhFEWhSZMmjBo1itdff53z58/z0svTUdXqzfL1119/cf78eeLi4ujUqVONyi6EcJ++ffuSlJREbm4ue/bsceg1W7ZsYebMmbRt25aXX36ZNm3aUK9ePdq0acPLL79MZMO2mE1/0azpOoYMrvlEF6Jiw67U6vYVK6GwsOr6+u677wa03tiOuuKKK2w9umbOnMnIkSMZNWoUs2bNYtSoUbRr1w6o2XlfbZO+xkKISjVr1ozPP/+cVatWsWvXLgoLC2nVqhVXX301K1euBKgwqXxVkpOTOXjwICEhIQwaNKjC5x04oFXq7dtVazNu1aZ4RvcjR8FiUe1ypIB24tazZ0/++OMPUlJSCAoKolevXlx22WXce++9gOPHzxoYLC8BcPPmzenSpQvr169nz549XH755TXYKyGEcIzBYGDYsGHs37+ftWvX0qFDB6fXsXHjRrKysoiJibHN8lva6jVw4CDUqwd33h4MFLqg5P4pIUGhdy+VTZvh2+9UHn6o4sBghw4daNGiBYePHCEtO5LYSOeHwVsT00uvLiG8X1xcHPv27ePcuXMOPd/6u3PQoEFlZmU/m6HjwsXBwCHaJmxHUa5zcWlFad27QeNoSD8Lf60rmYG3ItYJYxx9r63uuOMOBg0axIoVKzh16hShoaFcdtll9OjRg1GjRgHVP+/zBAl2CSGqZDAYGDp0aJmp4Hft2gWUP0WtI6yN6ODBgyvNNbWnuLNA+3bedzW/RQttRsa8PDh9pmySetCGj9x66612jxUUFHDo0CFCQkJsV0qqkp6uTflY0eyY1sdzcnKc2AMhhKgZaz7HrKysar3e2haUFzDJy1N59wPtgsctY6FhQx3V3EydMf4WhU2bVRb/AhPvVgkPr7jttL13eUVOB7suXrxoyx0pwS4hvJ/196Gj+V2tvzvDwsLKLPtglorZHApARESui0ooKqLTKVw1XOXLr2DpMpUhgys/J7K+19aZ353RokUL7rrrLrvHTp8+zdmzZ4mNjaVx48ZOr9NTZBijEKJazp07x/Lly6lfvz6DBw92+vWqqjp0RTgnV+XAQe1+t67VKal7GQwK8cV5xI4ccfx1ixcvJj8/n2uvvdbhHx3WnGa7d+8us8xsNtuGEMXExDheECGEqCHrlPSxsbFOvzYvL4/Vq1cD5fdaff9DlVOnoEkTuG28913w8EZ9ekNCKy3X5U+LK37exYsXOXDgAIqiENPA+ST1y5cvp7CwkC5duki7I4SXy8rKYseOHQAOTyhi/d25f/9+u8d37lL5Yzmo6j5AG10g3O/qq7Q2cN16OHu28qGMK1asACAxMdEl254/fz4AN9xwg0vWV1sk2CWEqNSRI0coLLQfMpKens7jjz9OXl4eU6ZMKROsWblyJePGjeOFFyqeynz79u2cPn2a6OhoevXqVeHztm0HiwVaxEHjxt55otO6eIbIw+UEu/bt21fmsdWrV/Puu+/SoEED7rnnnjLLX3jhBcaNG2cbJmp1xRVXAPDOO++QnFySJMxsNjNjxgzS0tKIiYmRvClCCJfasWMH69atw2Kxn2nLZDLx7bffsmTJEoKCghg2bJjd8vnz5zNu3Djef//9Cte9cuVKCgoK6NSpEy2sM34U27RZ5YeftPv/96RCaKh3tgHeRlEUxt2iHavPP/+R48dTyzwnPT2d5557jry8PAb070/D0EC75Q8++CDjxo2rNLePIzk3hRC1Z+fOnaxatQqz2Wz3+MmTJ3nyySfJz8/n8ssvL9Mzp6K62vq7c+nSpbZenEajyuv/VbGYV6Oal6HT6SpNRSJcp1W8QtcuYDZrk5D88MMPHDt2rMzzVqxYYXsvx44dW2Z5RfV7fn6+3fmF1cKFC/n6669p2bIlt9xyi2t2ppbIMEYhRKXmzZvHqlWraNeuHY0aNSIzM5OdO3diNBqZOHEiI0eOLPOaCxcucPz4cRo2bFjheq0/kq+66qoyeQBK27JFu3JRegp1b9OmtQKoHDmiAvYnY3/729+IjY2lZcuW1KtXj6NHj3L06FHq16/Pm2++aRtCUtrp06c5fvw4Fy5csHt80qRJbNq0ieTkZEaPHk337t1p0KABe/fu5cSJEwQHBzNt2jSZ+l0I4VInTpzgpZdeokGDBrRv356IiAjOnz/PkSNHyMjIICgoiGeffZYmTZrYvS47O5vjx4+TkZFR4borGsJ44YLKK69q9f+YG6BnDwl0OWP4UJj9MZw5uZRx46bTqlUrWrZsicFg4MyZMxw4cACj0UhCQgJPPTEVtsywe31qaiqnT5+ucNa29PR0tm3bRkBAQJkUB0IIz0hJSeGll14iKiqKdu3aERYWxunTpzlw4ACFhYXa9/2pp8q8rqK6etCgQQwdOpQ//viDqVOnkpSUREFBM5KPnQRV6+3197/fR0tvmyrdj40do7Bjp8qPiyC26VKmT59OmzZtaNGiBRaLheTkZI4fPw5os8KXN/qmovo9KyuLW2+9lYSEBOLi4jAYDOzfv5+0tDSaNWvGm2++SWBgYJn1eTM5IxJCVGrQoEFkZmZy6NAhdu7cSXh4OP369WPcuHH07Fm9CJTRaLR1r61sCKOqqvy5Trvfu5f3nui0Ke7Ztb+c2dvHjx/P1q1b2blzJ4WFhTRp0oRbb72VO+64o9JgYHnq16/Pd999x5w5c1i2bBm7du2iqKiI6OhobrzxRu655x5aW7uZCSGEi/To0YO77rqLbdu2cfjwYbKzswkICKBZs2YMGTKEW265xZYM1xkZGRls2bIFg8HA8OHD7ZZ9MEsl/SzENIf77/Xe+t9bBQYq3DoO3pl5G/WCY1DVPWzdupWLFy8SFhZGx44dGTJkCDfccAOB1RjnsXTpUiwWC5dffrlPzcwlhD/r2LEjY8aMYc+ePezbt4+cnBzq1atH27ZtufLKKxkzZozDqTNA6yX60ksv0a9fP3755RcOHDhMXt5BIJx27QZw3303079/f/ftkCjj8oElieov63s9DRtGcvDgQTZs2EBhYSGRkZEMHjyYMWPG0KdPH6fWXb9+fW688Ua2b9/Opk2bsFgsNG/enEmTJjFhwgRCQkLctFfuo6gOzjVc3aSjVpGRkTVeR10hx8oxcpwc56vHau8+lb/fr1IvGBb/qNTKdPO2Y2UyErT0/wAovPplMFR8JSMvT+Wa61QsFvj+W8Wtwy0jIyPdtu66yhe/G5fy1e94TdXV/Qb/3vedu1T+8ZD283TmWwrdu5XUqf6831Vxdt/z81XGjlM5nwPPPa1w1fAK2iYn2jt38pX2ra58/uryd60ydfW4FBWpTL5P5cgRbSbA//zbPkpeV49LVdxxXL7+VuXd91WaNIH/faEQGOhjF4SK25zAwEByh/y72m2OI22G5OwSQnitlau0k50B/amVQFd1hYQotG2j3d+xy7NlEUIIX1ZUpPLaf7W6f+QI7AJdwjn16pXK3fWlisXi0PVtIYQo44t52kRMDerDPx+WetmTbrweGjWCM2dgUSWTkAgJdgkhvJSqqqxYqd2vanpdb9C1i3a7fbucTAghRHXN+x8cOwYNGsAD93l/3e/txtwAYaFw7Di2NlUIIZxx4KDK3C+037ePTFGIjJS62ZOCghTuukN7D+bMVTl/Xs49KiLBLiGEVzpwEE6dhuBg6NfX06WpWq+eWqPz1zrk6rkQQlRDygmVz4tPqKY8oBARISdUNRUWVtK766NPVEwmaZ+EEI4rKFB58SUVsxkGXwFDr/R0iQTAdSOgVTxkn4f3PpR6vSIS7BJCeKUVK7WKu19fCA72/hOenj0gJATOZsDefZ4ujRBC+BZVVXljhoqxCPr0huHDPF0i/zHuZoiMhNQ0WPyzp0sjhPAlH8xSOZ4CUVHw+GMKiuL9v8nrgoAAhccf096LX36Fdesl4FUeCXYJIbyO2ayy7Hft/pVDfKNRDQpS6N9Pu790mTQ4QgjhjF+XwNZtEBQEjz0qJ1SuFBKicHepIS/5+dJGCSGqtn6DyoKF2v3/e1Khfn2pl71Jl84KY8do91+cppKaKnX7pSTYJYTwOlu3aVPqhoXBZT40o/GokdqPgF+XQE6uNDhCCOGI9HSVd97V6sy/3aUQ01xOqFxt9Cho3hzOZcLn86R9EkJULjtb5ZVXtbriphuhbx+pl73RP+5T6JAEubkw5Z8qJyTgZUeCXUIIr7P4F62iHjbUu2dhvFTPHtC6NRQUwFf/k8ZGCCGqYjKpTJuucuEidEiC8bd4ukT+KSBA4cH7tfb0q//B0aPSRgkhymcyqbw4TeVcJsS3hPvv9Z3f4nVNYKDCKy8ptGwB6elwz70qfyxXUVWp4wEMni6AEEKUdvq0ysqV2v3rRlTcuGZkZLhl+yaTiezsbDAbaVRYqG3rXAboA8s8t1GjRnb/K4rCPRPhX0+rfDMfrhuhEhsrPxCEEKI8hYUqL7+qsmWrNhnJM08pGAzO1Znuagu8ka19KuXSdqgyV1yucPlAlTVrYfrrKu/PxOnjLYTwf7M+Utm4SauXn39WcUnu3LpUV5dWXr3tKEfr96gohXfehP97VmXPXnj+RZXvvodbxsLlA+t2PS/BLiGEV/lkjorZovWSat+u4so5MTHRreUI1MPHoyIAmHzvPIzmss/JzMws89hlA7Tkyhs3wX9eVnnvnbrdyAghRHk++sTC4p+1YXV6Hfz7OYUWLZyvK93dFni78tqhyjw6RWHrNpW9+2DmeyqPTAFpoYQQVl99rfK/b7T7//cvhbZtXFND1PW6ujqcqd+johTefRu+mAfz/qeyazfs2q0S1RCGD1O55mqFNq3rXm0vwxiFEF5j1RqVX5dq9/8+2TcrZEVRePyfCmGhsGcvfPqZdCMWQojSzGaVBd9rga7oRjDjDYWBA3yzzvc1jRsrPPt/2rFesBDe/1DFZJJ2Sgh/lpen8uVXKl/MU1m+UiXjXNnvfGGhysz3LLz/obZs8kSFKwdLvexLAgIUJt6t8PWXCnfdAQ0jtXb262/h7kkqd0+y8PW3KmfS606dLz27hBBeYd0GlRdf0irfcTdDxw6+28A2a6bw+GNaN+Iv5kF8S5Wrhvvu/gghhCvp9QqzP4SzZ6FzJy3niKg9Ay9TmPIAvPOe1oNj00aVl3tBSAik7VNp2lylYUNkRkwh/MTaP+HD2fYBjtgYlQ5JEBMDuRdgxUo4d05bds8khbvukO+/r4qOVrhnksLdd6ps2AhLlqr8uQ4OH4F331d5931o20alXz9tRseOHSAi3D/fbwl2CSE8ymxWmb8APpilYjbDgP7+kQhz6JUKu/aofLcAXnpFZdNmlZ49Fa4cLCd2QgjRIk6hRZynS1F33XKzQoNIeOsdlePH4UikdiL83BcqRRaVevWgS2eV7t0UOnWEdolQr560XUL4ossGaD210tJUDh/Rgh6padpfaY0awdRHFQZeJt91fxAQoDDwMu0CR06OyvIVsHSZyu49cOiw9gda3R8bq5LQClrFQ6t4hVatoHkz36/3JdglhKhVqqpdST5yRMVkhn374eRJbdnVw+GpJx1LUHzw4EG3lK9BgwYlCer/fAWA3a88VW6C+qpMeUDBVKTyw0/w61L4dalKkVFh1HUuLrQQQtRR7moLvJGtfXKRq4Yp9OsDy/9QaHIQCgqhcTScOgv5+bBhI2zYqJ0I6XRQv75KeBhYLGAsAlMRFJnAZNIeu2OCwt13+vaJkRD+KDRU4e47wZqhLydXS2R+4ABkZKgEBUHHjgqXX6YFSNyhLtXVpbm63q6uiAiFG66HG65XyM5WWb8RNm1W2bOnOPCZqv2tXgPWABhASIhKVBSE1IPAQO2vURTcf59Coyjvr+8l2CWEqFU5OdjyAViFh8O99yhcP8rxYRPOzEDljMjISAwGA6gqgU3badtq3AyqMZxDp1OY+k+FYUNVVq5WKSyAfn1dXWIhhKi73NUWeCNb++RCEREKN9wQSOC6VgB882wQJjMkH4Nt22DHLpW9e+FsBmRlaX8V0fIAef/JjxB1XUS4Qv++0L8v1NZ3ti7V1aW5o96uqQYNFK65Cq65Snvvs7NVDh2G5GRIPqaSfAyOHYMLFyEvT/u71IABMHRINQugD0CNjEepFwz6gOruhkO868gLIfxe/foKr0+HY8e1GbiaNIXePSEkxMt+ICsKxv4P2O7XRLeuCt26etn+CSGEEFCmvTMYoG0b7e+Wm7W2KzNT5VwmXLgABgMEGEBvgMAA7f/AQG0IlBBCCN/SoIFC717QuxeUDn7m5alkZEDGOSgoAKNR+wsJqeHF++I2JyQyEtzc602CXUKIWte/n0L/fp4uhQMkOa8QQoi6oIr2rmFDhYYNa6ksQgghPC4kRKFFC2jRwg0rV5RamQRF5/YtCCGEEEIIIYQQQghRSyTYJYQQQgghhBBCCCH8hgS7hBBCCCGEEEIIIYTfkGCXEEIIIYQQQgghhPAbEuwSQgghhBBCCCGEEH5Dgl1CCCGEEEIIIYQQwm9IsEsIIYQQQgghhBBC+A0JdgkhhBBCCCGEEEIIvyHBLiGEEEIIIYQQQgjhNxRVVVV3byQ3N5ctW7bQs2dPwsPD3b05nybHyjFynBwnx8pxcqyEL6qrn9u6ut9Qd/e9ru431O19F7VPPm/lk+NSPjku5ZPjUrHaOja10rPrwoULrFq1igsXLtTG5nyaHCvHyHFynBwrx8mxEr6orn5u6+p+Q93d97q631C3913UPvm8lU+OS/nkuJRPjkvFauvYyDBGIYQQQgghhBBCCOE3JNglhBBCCCGEEEIIIfxGrQS7wsLCGDRoEGFhYbWxOZ8mx8oxcpwcJ8fKcXKshC+qq5/burrfUHf3va7uN9TtfRe1Tz5v5ZPjUj45LuWT41Kx2jo2tZKgXgghhBBCCCGEEEKI2iDDGIUQQgghhBBCCCGE35BglxBCCCGEEEIIIYTwGxLsEkIIIYQQQgghhBB+Q4JdQgghhBBCCCGEEMJvSLBLCCGEEEIIIYQQQvgNQ3VeZLFY+Oqrr1iwYAFHjx5Fr9eTlJTExIkTGTp0qFPrmTdvHt9++y3Hjx8nJCSEAQMG8OijjxIXF1edonkVVxynzZs38/vvv7Nx40bS0tLIy8sjJiaGoUOHcu+99xIREeHmvagdrvpMlWY0Grn55pvZv38/rVq1YsmSJS4utWe48lhduHCBTz/9lN9++40TJ04QEBBAXFwcQ4cO5cEHH3TTHtQeVx2rnJwc5syZw++//05qaiqBgYHExsZy4403cvPNNxMUFOTGvRD+qLCwkBkzZrB7926OHz/O+fPniYiIIC4ujptvvpnRo0cTEBBQ5Xo2bNjAnXfeWeHyV155hTFjxpR5PDk5mbfeeov169eTn59PfHw848eP59Zbb0VRlBrtW2U8ud933HEHGzduLPf5MTExLF++3LmdcZKr9t3K2fp7586dzJw5k23btmEymUhMTOTuu+9mxIgRrtzNMjy531deeSVpaWnlrqdPnz588cUXNdq3yrhqvyv73Fq9+uqr3HDDDXaPeer9Ft7Jld8Fo9HIvHnzWLRoEcnJyYBWh/bu3Zvnn3/eJeWtLa44Lv/6179YuHBhpc+ZMmUKDzzwQLXK6Amu+rwUFBTwv//9j59++onU1FRUVaV58+Zce+213H777YSHh7uy2G7nquNy/vx5PvzwQ37//XdOnTpFWFgYffr04aGHHqJt27auLHKtWrZsGV999RV79+4lLy+P6OhounXrxuOPP06zZs2qfL07YkOKqqqqMy9QVZWHH36YpUuX0qJFC6644gqMRiN//PEH586d49lnn+X22293aF3PPPMM8+fPp23btgwaNIj09HR+/fVXQkND+eabb4iPj6/OPnkFVx2nyy67jKysLHr27ElSUhKKorBx40b27t1LXFwcX3/9NY0aNaqFPXIfV36mSnvzzTf5/PPPycvL85tglyuP1cmTJ7nrrrs4ceIEAwYMICkpCaPRSEpKCidPnmTRokVu3hv3ctWxysnJYcyYMZw4cYKePXvStWtXjEYjq1evJiUlhX79+jFnzhx0OukoKxyXmZnJ4MGD6dKlC/Hx8TRs2JDz58+zZs0a0tLSGDhwIB999FGVnytr0KdPnz706dOnzPJhw4aRlJRk99jhw4cZP348BQUFXHvttTRu3JhVq1Zx6NAhbr/9dp599lmX7mtpntxva9CgvEBQeHg4d999d432rSqu2ndwvv5ev349kydPJjAwkJEjRxIaGspvv/1GWloaTz75JBMnTnTXbnt0v6+88kpycnK46667yqwrJiam3ECwq7hqv7///vtyT65MJhOzZs1Cp9OxYsUKmjRpYlvmyfdbeCdXfRfOnz/P5MmT2blzJ927d6d79+4ApKamsnHjRjZs2ODScrubK47L77//zr59+8pd9umnn5KXl8f8+fPp0qVLjctbW1xxXIqKipgwYQI7duwgKSnJ1lZv2LCB/fv307ZtW+bPn0+9evVcXn53ccVxycrKYvz48Rw7dozu3bvTrVs3zp49y9KlSzEYDMydO5euXbu6o/huo6oqzz//PN988w0tWrRg4MCBhIaGkp6ezqZNm3j99dfp1atXletxS2xIddKvv/6qJiYmquPHj1fz8/Ntj587d04dMmSI2qlTJ/XEiRNVrmfdunVqYmKiOmHCBLWwsND2+MqVK9XExER14sSJzhbNq7jqOM2aNUs9ffq03WMWi0V9/vnn1cTERPXf//63y8te21x1rErbsWOHmpSUpH755ZdqYmKievXVV7u62B7hqmNVVFSkjhkzRu3SpYu6bt26cpf7Olcdq9mzZ6uJiYnqtGnT7B4vLCxUx4wZoyYmJqobN250efmFfzObzXZtn1VRUZF6++23q4mJieqKFSuqXM/69evVxMRE9Z133nF42xMmTFATExPVlStX2h4rLCxUb7vtNjUxMVHdunWrw+tylif327p+T3HVvjtbfxcVFanDhg1TO3XqpO7du9f2eE5OjnrVVVepHTt2VFNTU53fIQd5ar9VVVWHDBmiDhkypFrlrilX7XdFlixZoiYmJqr33ntvmfV78v0W3slV34V//OMfart27dSffvqpzDJf/O3ozjpi165damJionrddde5Zf3u5Irj8vPPP6uJiYnqAw88UGbZ/fffryYmJqoLFy6s0TZqmyuOywsvvKAmJiaqr7zyit3jW7duVZOSktQRI0aoZrO5RtuobZ999pktLmEymcosd6RucFdsyOmuCH/88QcA9913H8HBwbbHGzZsyF133YXRaOT777+vcj3z588H4OGHHyYwMND2+KBBg+jTpw9r167l5MmTzhbPa7jqOP3973+3u1oHoCgK//jHPwDYtGmTC0vtGa46VlaFhYU8+eST9OzZk9tuu83l5fUkVx2rpUuXsnv3biZOnEi/fv3KLDcYqjXC2au46lidOHEC0Oqm0gIDAxk4cCCgXcEXwhk6nc6u7bMyGAwMHz4cgOPHj7t8u8nJyWzatIm+ffvafaYDAwN5+OGHAfj2229dvl0rT+23N3DVvjtbf69fv56UlBSuu+46u95u4eHh3HfffRQVFVU5BKcmPLXfnubuz/p3330HwNixY+0e9/T7LfzX9u3b+f333xk9ejSjRo0qs9zbvoOeVtF3tK5ITU0F4IorriizbPDgwUDd/P38xx9/oNPpeOihh+we7969O0OGDOHw4cNVDl33JgUFBbz33nvExcXx9NNPo9fryzzHkbrBXbEhp2uljIwMAGJjY8sssz62fv16pkyZUul6NmzYQEhICD169Ciz7PLLL2fjxo1s3LixTA4CX+Gq41QR64emvA+Ur3H1sZoxYwanTp1i1qxZbs094wmuOla//PILANdccw2nTp1i5cqV5ObmEhcXxxVXXEFoaKiLS177XHWsEhMTAVi1ahWXXXaZ7XGj0ciff/5JcHAw3bp1c1GpRV1nsVhYs2YNUPLZc8SxY8f47LPPKCwspEmTJvTv37/MhRLA9gPKGqgtrWfPnoSEhHjkIoq797u0RYsWkZaWRnBwMElJSfTu3dujw5Cd3Xdn6+/K3nPrY77wnle33bJe2EhPTycsLIzOnTt7dIhIdT/rpZ0+fZq1a9cSHR1tO2m08tb3W3heTb8Lpb+DmZmZLF++nHPnztG0aVOuuOIKIiMj3VV0t3JHHVFQUMDixYsJDAzk+uuvd1FJa1dNj4s199Tq1au55ZZb7JatXLkSRVHo27evS8tcG2p6XDIyMoiMjCy3zSp9flLeRR1vtHbtWs6fP8+YMWOwWCz89ttvHDt2jPDwcAYMGEDLli0dWo+7YkNOB7usFVlqaiqtW7e2W2aN4B47dqzSdeTl5XH27FkSExPLDdZYD4ovX911xXGqzIIFCwDsTr59lSuP1aZNm/j888/517/+RYsWLVxaTm/gqmO1Z88eQJsAYfr06RiNRtuyhg0b8tZbb/lkA1Saq47V2LFjWbRoEXPnzmXPnj106dKFoqIiVq1aRV5eHm+++WaVJ9dCVMRoNDJr1ixUVSU7O5t169Zx9OhRxowZQ//+/R1ez+LFi1m8eLHtf4PBwO23384TTzxh185aP/Pl/fjQ6/XExsZy+PBhTCaTW6/S1/Z+lzZ16lS7/+Pj43njjTfo3Llz9XbGSTXdd2fr78re8+joaEJCQmrl91Zt77fV2bNneeqpp+we69y5MzNmzKiV3wmu+qyXtmDBAiwWCzfeeGOZ76m3vN/C+9T0u2D9Dh4/fpzHH3+cCxcu2JaFhIQwbdo0n5wAwR11xJIlS8jNzWXkyJE0aNDABaWsfTU9LoMHD2bYsGEsW7aMG264wS5nV2pqKv/5z3/o2LGjW8ruTjU9LpGRkZw7d46LFy+WCXi5IkZQ26z1gk6nY9SoUXZl1+l03H333Tz55JOVrsOdsSGnf8leccUV/Pzzz8yePZt+/frZZiHLyspi7ty5gJbQuTK5ubkAhIWFlbvc+rj1eb7IFcepIvv27eO9994jKiqKyZMnu6zMnuKqY5WXl8dTTz1Ft27duOOOO9xaZk9x1bE6d+4cANOmTWPixIncfvvtBAYG8vPPP/Pqq6/ywAMP8Msvv9C4cWP37YybuepYBQcHM3fuXP7973+zcOFCNm/eDGiBgdtvv92WnFWI6igqKuLdd9+1/a8oChMnTuSxxx5z6PUNGzbkscceY8iQIcTExJCfn8+2bdv473//y2effYaiKPzrX/+yPd96clLRDEihoaFYLBYuXrxI/fr1a7Bnlavt/QYYOnQokyZNIikpifr165OWlsbXX3/NvHnzmDhxIj/++CPNmzd36X6Wp6b77mz9XdV7HhYWViu/t2p7vwHGjBlDz549SUxMJCQkhGPHjjFnzhx+/PFH7r77bn766acKf4u6Sk33+1KqqtqG4Jc3PMpb3m/hXVzxXbB+B19//XVGjRrFgw8+SP369Vm5ciUvvPACTzzxBAkJCbRv3742dskl3FVHWDsl3Hzzza4ucq1wxXFRFIWZM2cyY8YMPv74Y7sk/jfeeCMDBgxw9264nCuOy+WXX87333/Pu+++axcE2rFjBytXrgR8KwZirRc+++wzOnTowPz582ndujX79u3j2Wef5dNPPyUuLq7S1ELujA05Hey67rrr+P7779mwYQOjRo3i8ssvp6ioiD/++IOoqCgAmZUM9x2nEydO8Pe//x2z2cyMGTNo2LChq4te61x1rF599VXS09MdntXJF7nqWKnFk7AOHjzYrpfDHXfcwenTp/n444/57rvvbLnhfJGrjlVmZib/+Mc/yMzMZPbs2fTs2ZP8/Hz++OMPXn31VVauXMn333/v9hMm4Z9CQ0M5cOAAFouF9PR0li9fzptvvsn27dv56KOPqvxctW3b1m6a6pCQEIYNG0bXrl0ZPXo0X3zxBffcc4/tM+8tPLHfl8622Lp1a55++mnCwsJ4//33+fTTT3nmmWdcup/lqem++2r97Yn9vnTmzaSkJF577TUAfvzxR+bPn8/f/vY3V+1iuWq635dav349qamp9OnTx+HhIUK44rtg/Q4mJiYyffp0W6qQ0aNHc+HCBV544QW++OILpk2b5oY9cA931BHHjx9n06ZNxMbG+sxQtEu54rjk5+fzz3/+k507dzJjxgxbT9Z169Yxbdo0Vq9ezbfffltuuhFv5Yrj8vDDD7NmzRo+/fRTtm/fTrdu3UhPT2fp0qW0bt2aAwcO+FQaHmu9EBAQwHvvvWcb7dKrVy/efvttrr/+eubMmeOxPNpORwQMBgMff/wxDz30EIqi8M0337Bs2TKGDh3KO++8A1Dlj2rr1abS3V9Lq+qqlC9wxXG61IkTJ7jzzjvJysrinXfe8dkK9FKuOFYbNmzg66+/5uGHH6ZVq1a1UWyPcNXnyvrj+sorryyzzPrY7t27XVjy2ueqY/Xyyy+zbds23nnnHQYNGkRYWBjR0dGMHz+eRx55hOPHj/PFF1+4e3eEn9PpdDRt2pTbbruNF198ka1bt/LBBx9Ue33R0dEMHToUk8nEjh07bI9XdXXs4sWLKIpSa3n7amu/KzN+/HgAtm7dWu3tVkd1993Z+ruq9/zChQu1+nurtva7MuPGjQNq9z131We9qqTX3vZ+C+/mzHfB+tkaMmRImZPxoUOHAr7/29GqJnXEggULUFWVm266yaeCFo5w5rh8+OGHLF++nBdffJERI0YQGRlJZGQkI0aM4IUXXuDcuXN8+OGH7i5yrXDmuDRt2pQFCxYwduxYUlNT+eKLL9ixYwdTpkzhvvvuA5yPEXiStV7o1KlTmbQuiYmJxMXFkZKSUuloGnfGhqqVkCMwMJAHH3ywTHRzw4YNgLazlQkJCSE6OprU1FTMZnOZsZnW8Zi+fsWqpsepNGug6+zZs7z11lsMGTLEpWX1tJoeK2vX2Ndee80WYS8tOTmZdu3aER4ebhuG5qtc8blq1aoVWVlZRERElFlmfaywsNAFpfUsVxyrNWvW0KBBg3K75Vvzw5Tumi1ETVmTSNd0Nh5r3rr8/HzbY/Hx8UD5eQ/MZjOpqanExsZ6ZFYtd+53ZRo0aICiKOTl5dVouzXhzL47W3+Xfs8vrfPOnj1LXl4eXbp0qW7Ra8Sd+10Z62fEU+95dT/r58+fZ9myZURERHDNNdeU+xxvfr+F93Hmu9CqVSt2795d7nfQehJaUFDg2gJ6SHXrCLPZzMKFC9Hr9dx0003uKJpHOXNcrBNxlJdL0dphY+/evS4snec4+3lp0qRJuT0gZ86cCTgXI/C0hIQEoOJAVOm6oby6A9wbG3LpWK9FixYBOJScsE+fPuTl5ZUbAbV+OXr37u3K4nkNZ44T2Ae63nzzTYYNG+bO4nkVR49VYmIiY8eOLfcPtC/a2LFjfXZ2T0c487myNjKHDx8us8z6WExMjAtL512cOVZGo5ELFy7YJUO2ysrKArSuu0K4Snp6OlDzadytPZtKf5et7eratWvLPH/Lli3k5eV5rO11535XZufOnaiq6tE6z5l9d7b+ruw9tz7mC++5K9utnTt3OvV8V6vuZ/2nn36isLCQUaNG2fJQXsqb32/hfZz5LjjyHfSlIWmVqW4dsWrVKtLT07n88sv9cvIiZ45LUVERUPJbubTMzExAuyjtD1zRppjNZn7++WcMBgNXXXWVq4rmdtZg5tGjR8ssKyoqIiUlhZCQkCpTL7krNlStYFd5XcyWLFnCggUL6Ny5s90blJmZyZEjR2wfaivrFKRvv/223UnkqlWr2LhxIwMHDvT5k21XHCdroCs9PZ0ZM2YwfPhwt5fbE2p6rAYMGMC0adPK/QNo1KgR06ZNq5V8LO7mis/VmDFjCAwM5Msvv+TMmTN26541axYA1157rZv2oPa44lj16NEDk8nE+++/b/d4YWGh7TF/GVIsas/hw4fL7XmUn5/PK6+8AsCgQYNsj1f0+axoyMjcuXPZsGED8fHxdrMMJiQk0Lt3bzZs2MCqVatsjxuNRt5++23AvQl1PbXfJ06cIDs7u8zzz5w5wwsvvADAqFGjnN4fZ7hq352tv/v3709cXByLFy+264Wam5vLhx9+SEBAgFsvBHlqv48cOVLudo8cOcIbb7wBuPc9d9V+l1bVEEbw/PstvI+z34Xc3FyOHDliC8paXXPNNURGRrJo0SIOHDhge9xoNNp6pFTU49Abueq4lObId9Tbueq4WCdwevfdd7FYLLbHzWazLZ2IL8387qrjUlRUVKYHpMVi4dVXXyU5OZnbb7/dpwKlLVq0YODAgRw/fpz58+fbLZs9ezY5OTkMGzbMdnGntmND1bp8evPNN9OsWTMSEhIICgpi586dbNy4kbi4ON5++227rmfz5s3j3Xff5cEHH+Shhx6yPd6vXz9uvvlm5s+fz5gxYxg0aBBnz57ll19+oUGDBn4RlHDFcbrrrrs4efIk3bp148CBA3aNi1Xp5/sqVxyrusIVxyouLo4nnniCl156idGjRzN8+HACAwNZuXIlaWlpjBs3rtpTonsTVxyrxx57zJZb5a+//qJ79+4UFBSwZs0a0tLS6N69O9dff70ndk/4sF9//ZU5c+bQs2dPYmJiCAsL48yZM6xevZrs7Gx69epll1C9os/nlClTMBgMtlwJ+fn57Nixg7179xIREcHrr79epjv4888/z6233soDDzzAiBEjiI6OZtWqVRw6dIjbb7+dHj16+N1+b9q0iX//+9/06tWL2NhYIiIiSE1NZdWqVeTl5TFq1Ci3f49dte/O1t8Gg4GXXnqJyZMnM2HCBEaOHEloaCi//fYbaWlpPPnkk27tjeGp/f7ll1+YM2cOvXv3pnnz5tSrV49jx46xevVqioqKuPfee93aw8lV+221e/du9u/fT8eOHenQoUOF2/X0+y28j7PfhWXLlvHUU09x4403Mn36dNvjYWFhvPTSS0yZMoVx48Zx9dVXExERwbp16zh06BCDBg1izJgxntjFanHVcbHKyMhg1apVNGrUyKfTzbjquNx3330sX76cH374gT179tguDK9bt47Dhw8THx/PxIkTa33/qstVx+XcuXOMHDmSyy67jNjYWIqKili7di1Hjx5l8ODB1Z6p15Oef/55xo8fzzPPPMPvv/9OQkICe/fuZf369cTExPDEE0/YnlvbsaFqBbtGjBjBb7/9xvbt2zGZTMTGxnL//fczefJkp2aVefHFF0lMTOTbb7/l888/JyQkhOHDh/Poo4/SokWL6hTNq7jiOKWlpQGwfft2tm/fXu5z/CHg46rPVF3gqmN1xx13EBMTwyeffMLPP/+M2WymTZs23H///T47VfKlXHGsOnTowPfff8+sWbPYsGED8+bNQ6/X07JlSx5++GEmTpzoN92wRe0ZPHgw6enpbNu2je3bt5OXl0dYWBjt2rVj5MiR3HTTTQ4NcRo/fjxr165l06ZNZGdno9PpaN68OXfddRcTJ06kadOmZV7Ttm1bvv32W9566y1bsCc+Pp7nnnvO7bPleGq/O3TowDXXXMOePXvYtWsXeXl5hIeH06NHD2666SaH0wrUhKv2HZyvv/v168dXX33FO++8wy+//ILJZCIxMZGpU6e6fd89td99+/blyJEj7Nu3j82bN1NQUEBkZCRXXHEFt912my1vlru4cr/BuR4jnny/hfdx5Xdh2LBhfPHFF3zwwQcsX76c/Px84uPjmTp1Kn/729/KXFzxZq6uIxYuXIjJZOKGG27wSN5LV3HVcWnevDkLFixg9uzZrFmzhq+//hpFUYiJiWHSpEnce++91K9f38174zquOi5hYWEMHTqUrVu3snLlSgwGA4mJibz00kvcdNNNDs0U721atGjBggULeOedd1izZg1//vknjRo1YsKECTzwwAMOJ9x3R2xIUa3zRQohhBBCCCGEEEII4eN8L3QohBBCCCGEEEIIIUQFJNglhBBCCCGEEEIIIfyGBLuEEEIIIYQQQgghhN+QYJcQQgghhBBCCCGE8BsS7BJCCCGEEEIIIYQQfkOCXUIIIYQQQgghhBDCb0iwSwghhBBCCCGEEEL4DQl2CSGEEEIIIYQQQgi/IcEuIYQQQgghhBBCCOE3JNglhBBCCCGEEEIIIfyGBLuEEEIIIYQQQgghhN+QYJcQQgghhBBCCCGE8Bv/DxqrCxplDxKjAAAAAElFTkSuQmCC", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "earth_posterior = -2 * measurement_fit_hier.posterior[\"I(Time ** 2):Planet\"].sel({\"I(Time ** 2):Planet_dim\": \"Earth\"})\n", + "mars_posterior = -2 * measurement_fit_hier.posterior[\"I(Time ** 2):Planet\"].sel({\"I(Time ** 2):Planet_dim\": \"Mars\"})\n", + "planetx_posterior = -2 * measurement_fit_hier.posterior[\"I(Time ** 2):Planet\"].sel({\"I(Time ** 2):Planet_dim\": \"PlanetX\"})\n", + "\n", + "earth_posterior_2 = -2 * measurement_fit_hier_prior.posterior[\"I(Time ** 2):Planet\"].sel({\"I(Time ** 2):Planet_dim\": \"Earth\"})\n", + "mars_posterior_2 = -2 * measurement_fit_hier_prior.posterior[\"I(Time ** 2):Planet\"].sel({\"I(Time ** 2):Planet_dim\": \"Mars\"})\n", + "planetx_posterior_2 = -2 * measurement_fit_hier_prior.posterior[\"I(Time ** 2):Planet\"].sel({\"I(Time ** 2):Planet_dim\": \"PlanetX\"})\n", + "\n", + "fig, axs = plt.subplots(2, 3, figsize=(12, 6), sharex='col')\n", + "az.plot_posterior(earth_posterior, ref_val=9.81, ax=axs[0,0])\n", + "axs[0,0].set_title(\"Earth $g$ - No Prior\")\n", + "az.plot_posterior(mars_posterior, ref_val=3.72, ax=axs[0,1])\n", + "axs[0,1].set_title(\"Mars $g$ - No Prior\")\n", + "az.plot_posterior(planetx_posterior, ref_val=6.0, ax=axs[0,2])\n", + "axs[0,2].set_title(\"PlanetX $g$ - No Prior\")\n", + "\n", + "\n", + "az.plot_posterior(earth_posterior_2, ref_val=9.81, ax=axs[1,0])\n", + "axs[1,0].set_title(\"Earth $g$ - Priors Used\")\n", + "az.plot_posterior(mars_posterior_2, ref_val=3.72, ax=axs[1,1])\n", + "axs[1,1].set_title(\"Mars $g$ - Priors Used\")\n", + "az.plot_posterior(planetx_posterior_2, ref_val=6.0, ax=axs[1,2])\n", + "axs[1,2].set_title(\"PlanetX $g$ - Priors Used\");\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Again, adding the prior produces noticibly tighter uncertainty bands on both the calculated value of gravitational acceleration on Earth, but also on PlanetX.\n", + "\n", + "A similar effect happens for the initial velocity produced by the astronaut's throws." + ] + }, + { + "cell_type": "code", + "execution_count": 47, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "axes = az.plot_forest([measurement_fit_hier, measurement_fit_hier_prior],\n", + " model_names=[\"No prior\", \"Added Prior\"],\n", + " kind='forestplot',\n", + " var_names=\"Time|\",\n", + " filter_vars=\"like\",\n", + " combined=True,\n", + " figsize=(9, 7))\n", + "\n", + "plot_breaks = [1, .82, .69, .57, .44, .31, .15]\n", + "for i, name in enumerate(sorted(astronauts)):\n", + " plt.axvline(\n", + " x=astronauts[name], linestyle='--', color=\"firebrick\",\n", + " ymin=plot_breaks[i+1], ymax=plot_breaks[i])\n", + "\n", + "plt.legend(handles=[mpl.patches.Patch(color='C0', label='No Priors'),\n", + " mpl.patches.Patch(color='C1', label='Using Priors')],\n", + " loc='upper right');" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We can see that largely, the fitted parameters are closer to the true values when the priors are used." + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "bambi_test_env", + "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": "3.11.7" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +}