{ "cells": [ { "cell_type": "markdown", "id": "993c4ff4", "metadata": {}, "source": [ "# 15 — Agent-based consensus dynamics\n", "\n", "Doc page: [agent_based.rst](../../docs/source/algorithms/agent_based.rst).\n" ] }, { "cell_type": "code", "execution_count": 1, "id": "139a21f8", "metadata": { "execution": { "iopub.execute_input": "2026-05-12T14:05:56.273834Z", "iopub.status.busy": "2026-05-12T14:05:56.273478Z", "iopub.status.idle": "2026-05-12T14:05:56.865083Z", "shell.execute_reply": "2026-05-12T14:05:56.863813Z" } }, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from optimizr import _core as opt\n", "plt.rcParams['figure.figsize'] = (8.5, 4.5)\n", "plt.rcParams['figure.dpi'] = 110\n", "plt.rcParams['axes.grid'] = True\n", "plt.rcParams['grid.alpha'] = 0.3\n" ] }, { "cell_type": "markdown", "id": "a77569c5", "metadata": {}, "source": [ "## Cellule 1 — Convergence vers le consensus\n", "\n", "**Théorème (consensus DeGroot, version $\\alpha$-pondérée).** Pour la\n", "dynamique discrète\n", "$$X^i_{k+1} = (1 - \\alpha)\\,X^i_k + \\alpha\\,\\bar X_k + \\sigma\\,\\varepsilon_k^i,$$\n", "la moyenne $\\bar X_k$ est conservée en espérance et la variance\n", "décroît à taux $(1 - \\alpha)^2$ par pas (pour $\\sigma = 0$).\n", "\n", "**Équation pivot.**\n", "$$\\mathbb{E}[\\text{Var}(X_k)] = (1 - \\alpha)^{2k}\\,\\text{Var}(X_0).$$\n", "\n", "**Démonstration.** Récurrence linéaire : la composante hors moyenne\n", "est multipliée par $(1-\\alpha)$ à chaque pas. $\\square$\n", "\n", "**Ce que la cellule vérifie.** `consensus_dynamics(initial, alpha,\n", "noise_sigma, n_steps, seed)` reproduit la décroissance géométrique.\n" ] }, { "cell_type": "code", "execution_count": 2, "id": "aff03dd6", "metadata": { "execution": { "iopub.execute_input": "2026-05-12T14:05:56.868502Z", "iopub.status.busy": "2026-05-12T14:05:56.868174Z", "iopub.status.idle": "2026-05-12T14:05:57.662174Z", "shell.execute_reply": "2026-05-12T14:05:57.660763Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Moyenne initiale : 0.079\n", "Moyenne finale : 0.079\n", "Var init / final : 1.230 / 3.174e-19\n" ] }, { "data": { "image/png": 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l1KlT5rLrLaku6csOHz681PugKJd/Vzt06GB+nZWVpbi4uCihoaFKVlaWuTwvL0+JiYlRAGX69Onm8pL+/JX5vfraV+chIiJCSU9Ptyj/559/FI1Go7z66qtl3ocQdwNZUi1EJZCdnW2x3PVGUlNT+fvvv+nWrRtt2rSxOPbss8+i0+lYunRpqfOeeuopHBwczK91Oh2tWrXixIkT5jIPDw8AVq5ced1lsj/88ANOTk7cf//9pKWlWfwMHDgQvV7Pjh07LM5p1apVqZli3bp1AygVw5EjRzh48OD1E3ETbrfN1NRUvL29S5Xv2bOHtLQ0RowYYc4dwLBhw1AUhaSkJIYOHVqua/To0YN169aV++d638SWKJnxd+X7XsLR0dGiTnlMnTqVdevW8dNPPzFx4kTs7e1JT08v9/llWbVqFR4eHuaZpyVat25N586d+eWXX8q17P2hhx66qfyVhzXyd702Stq5VhteXl5lLskSQgghrMHNzY3s7Gzz65vp3y1evJiCggJeeeWVMlcNXL0Kw8vLi0ceecSi7Fb7tFfy8PAgMTGRzZs3X7cO3Lh/q1KpzLMpTSYTWVlZpKWlERMTg7u7e5kPbyxv/3bBggXodDrefvvtUstqr8zVrfSxr7Zs2TLgcr/tymuFhISYZ0yWUBSFBQsW0KpVK6pXr25xveLiYrp3787ff/9t7ouVvB9XzsgEiIqKYuTIkZw8eZJDhw6VylGrVq0sytq3b4+iKPznP/+xiLFDhw6lcrdw4UIUReHhhx8ulZP+/ftjMplYv379dXNytWnTppXrIZBr164lJyeHp556ymKmoZOTE88+++xNXfNqhw8f5sCBAwwfPhyTyWRxX5GRkdSoUYM1a9bc1jWEqEiypFqISsDd3f2mltKePn0aoMynCzs7O1O9enWLfXNKREZGlirz9va2GDBq374948aN4+uvv2bRokU0btyYtm3bMmTIEIuOwrFjx8jPz6datWrXjPPixYvluj5gEcOHH37Igw8+SExMDKGhobRr144ePXowdOhQ8yDPzbJGm4qilCor2f+wTp06FuW1a9fGxcUFo9FY7uWwgYGBBAYGlqtueZV0msvaZ9BgMFjUKY86deqY7/X+++9n6dKlDBkyBI1GY16Wf7POnz9Pw4YNy3waYIMGDfjrr784deoU9erVu247kZGRZf6O3Y4r83f1cujy5u9670FJO9dqQ1GUSvVEdCGEEJWLXq+3GES5mf5dyYDQ9bYVuVL16tVLPVn6Vvu0V5oxYwaDBg2iY8eO+Pv7065dO7p06cKIESPM91be/i3Ab7/9xsyZM9m7dy+FhYUWxzIyMkpdv7z92xMnThAdHY1Op7vu/dxKH/tqJXmNjo4udezqpcUlA1xbtmzB19f3mm2mpaUREhLC6dOn8fb2LrPPWvI+njp1ymIborJy5OnpWeaxkvIrc3fs2DGAMrc2KnGjnFwtKiqqXPVKfv+u7usD1K1b96auebWS+5oxYwYzZswos461+7ZCWJMMOApRCdSvX59NmzYRFxdHjRo1Kuw6V3fyruWrr77iueeeY9WqVWzdupWvv/6aOXPmMHHiRD766CPg8re+7u7uLFmy5JrtXP2P8PWuf+VgXr9+/YiPj2fNmjVs2rSJTZs2sXDhQl577TV27Nhx3c4QQHFxcamy223T19e3zJl8JXFf/S2+Wq3Gw8ODWrVq3bBjWSI/P99ilsGN+Pr63vA9DQ4OBi4P6l3dwTx//rxFnVsxePBgXF1dmT9//i0POGo0GoxGY5nHSt7LoqKiG7aTk5NDTk5Oua9bnhmiwcHBHD58mPPnz1OzZk2LY+XN35XvQVnOnz9/zTYyMzOJiYm5YZxCCCHEzTp9+jSXLl2ymJ13K/278rqZLzhvRosWLYiLi2P9+vVs3LiRzZs3s2TJEl555RW2bNliHnQrT//2999/Z9CgQTRt2pQ5c+YQGhpq/sKxZBba1crbvy2vinwPrnU9uDwo+/LLL1+z3o36ytdzvRxd69iVuSuJcfny5ddcMXKzA3MV9ft4vS+Kr/6MUnJfEydOpH///mWecyt71wtxp8iAoxCVwNChQ9m0aROff/45M2fOvGH9kn9Qjxw5UupYfn4+p0+fvu2By+joaKKjo5k0aRL5+fn07t2buXPnMnnyZMLDw4mKiiI2NpZGjRqVudT4dnl4eHD//fdz//33A//brPmTTz4xPwnOy8urzG+aS77VvZU2r6VevXps2LCBoqIi7O3tzeUlG29ffc0dO3Zw/vz5m5qR+fPPPzN27Nhy1z9z5oz5KdHX0rx5c+bPn8+OHTvMy3uujBGgWbNm5b7m1YxGI4WFhWRmZt5yG7Vq1SIuLg6DwVAqX4cPH0atVperEzlr1qxSy3uupzwfApo3b87q1avZsWNHqQHHHTt2oNPpyvzG+0r+/v6EhoZy4MAB8vPzLTqOZ8+eJTk5md69e5c67/Tp0xQXF5c560MIIYS4XZ999hmAxUqMm+nflcwQ279/Pw0aNLilGKzVp3V2dqZ///7mQZvVq1fTq1cv3nnnHYsnWt+of/vdd9/h6OjI5s2bLQakcnNzb6uvA5fzdeLECXJzc6/7ZbQ1+tgleY2NjaVJkyYWx0pm1ZXw9fXFw8ODzMxMunbtesO2q1evTmxsLBcvXsTf39/i2OHDh811rCkqKorVq1cTGBhYrhm11lwdUnIvR48epU+fPhbHyvq9LXmoUHk+o1w5y7I8uRfibiN7OApRCTz88MPUq1ePOXPm8PPPP5dZJzExkeeffx643DFo164da9asKfV029mzZ5OTk8N99913S7FkZGSU+vbWycnJPKhSMsvvoYceAi7vDVPWwM3NLmsoYTQay+zQlXSWrpxlWKtWLXbs2GGx/53BYGDu3Lm33Oa1dOzYEYPBwL59+yzKmzVrhqenJz/88AN6vd5c/sEHHwCXl2EkJyffsH2omD0cBw4ciKurK1988YVFfOfOnWPx4sV07NjR4mmFeXl5xMbGloq55EmSV5s3bx4FBQWlliPdjKFDh6LX6/nwww8tyjdv3symTZvo0qVLuZ7OVxF7OI4cORKNRsOHH35o8a30nj172Lx5c6kl+dnZ2cTGxpKWlmbRzoMPPkheXh7z5s2zKJ89e7b5+NVKBoSvftKjEEIIcbu+/fZbZs+eTWhoKE8++aS5/Gb6d0OHDsXBwYE33nijzMGVsmYDXs0afdrU1NRSZVf38crbv9VoNKhUqlJ133jjjXLdz/U88MAD5ObmljmL8Mq2rdHHHjhwIAAzZ860aCMhIYGFCxda1FWr1TzwwAMcOnSI7777rsz2rrzm4MGDgcs5uVJcXByLFi2iZs2atzwAfS0l/aQXXnihzFUv2dnZFlvXuLi4kJmZeUszTK/WvXt3dDodH3/8scVKJIPBwKxZs0rVLxlEvHpPyb///pudO3dalMXExFC/fn2++uqrUgPBcPnL8bJ+v4W4W8gMRyEqAQcHB1asWEHfvn0ZPnw4n376Kb169cLf39+8MfRvv/1msbTyo48+on379nTu3JnHH3+cyMhItm7dyqJFi2jYsCGTJ0++pVi+//575syZw8CBA6levTrOzs7s3buXL7/8koYNG5pjuO+++3jkkUf44osvOHjwIAMHDiQgIICkpCT27t3LypUry7UM9mqXLl0iMDCQfv36ERMTQ2BgIElJSXzxxRfY2dlZbHT99NNPM2LECDp27MhDDz1ETk4O33//fanBqZtp81qGDBnCtGnTWL58OS1atDCXOzg48MorrzBp0iTatGnD+PHjiY2N5ZdffmHEiBH89NNPjBkzhscff9zc+buWitjD0dPTk/fee48JEybQpk0bHnvsMQoKCpg7dy4qlco8MFpi165ddOrUidGjR1vMCKhXrx6tW7emSZMmBAcHk5GRwaZNm1i5ciXh4eFMnz7dop1XX32V1157jW+++YYxY8ZcN8ZJkyaxZMkSnn/+eQ4fPkzr1q05deoUn376Ke7u7qVivJaK2MOxVq1aTJ06lRkzZtCxY0cefPBB0tLSeP/99wkICODNN9+0qL9s2TLGjh3L9OnTLWbNTp06lSVLljB16lTi4+Np2LAhmzdv5ocffuDBBx80b5B+peXLl+Pl5SXfeAshhLhlBw8eZMGCBcDlWXpnzpxh1apV/Pvvv9SuXZulS5fi6upqrn8z/btq1arx0UcfMWHCBOrWrcvYsWOJiIggJSWF1atX8+yzzzJgwIAbxni7fdratWvTokULmjdvbu6jlAycjR49Gih//3bo0KEsWbKEDh06MGbMGBRFYc2aNRw9erTMB+PcjP/85z+sWLGC999/n/3799OrVy/c3Nw4ceIEa9euNc8OtEYfu3v37gwaNIhffvmFzMxM+vXrR0ZGBvPnz6du3brs2rXLYhbgW2+9xfbt2xkzZgy//fYb7dq1Q6fTce7cOTZs2ICTkxMbN24ELg+ILliwgE8++YRz587Ro0cPLly4wLx581AUhc8++8zq+083bdqUN998k//+97/Uq1ePESNGEBwcTEpKCocOHeL333/n6NGj5pU/LVu2ZPny5Tz11FO0bt0ajUZD586d8fPzu+lru7u78+677/LUU0/RrFkzxo4di1arZcGCBWUuB69VqxY9evRg/vz5GI1GmjRpwrFjx/j2229p0KCBxQMsVSoVCxYsoHPnzjRu3JgxY8ZQv359ioqKiI+P57fffmP06NE3XIklhM3c4adiCyFug8FgUObNm6d06tRJ8fb2Vuzs7BRPT0+lXbt2yqxZs5SsrCyL+kePHlWGDRum+Pj4KPb29kpYWJgyefLkUvW++eYbBVA2btxY6pqjR49WrvyrYv/+/cqYMWOUmjVrKi4uLopOp1Oio6OVl156ScnIyCh1/qJFi5SOHTsq7u7uilarVUJCQpRevXop8+bNs6gHKKNHjy51/saNGxVA+eabbxRFUZSCggLlhRdeUFq0aKH4+PgoWq1WCQ4OVoYMGaL8888/pc5///33lYiICMXe3l6pXr268t577ykbNmy4rTavpV+/fkpoaKhiMplKHfv888+VevXqKVqtVnF1dVUeffRRpaioSPnss88UPz8/JSwsrNzXqQiLFy9Wmjdvrjg5OSnu7u5K3759lYMHD5aqV/J+XP1evf7660q7du0Uf39/xc7OTtHpdEpMTIzy8ssvl/l7MXnyZAVQ1q5dW674srOzlSlTpijh4eGKvb294uPjowwfPlw5fvz4Ld2vNZlMJmX+/PlK/fr1FQcHB8Xb21sZPny4cubMmVJ1S/6sTZ8+vdSxlJQU5dFHH1UCAgIUrVar1KxZU5kxY4ZSVFRUqm52drbi6OioTJkypQLuSAghRFVX8u95yY9KpVJcXV2VmjVrKkOHDlUWLlyoGAyGa55f3v6doijKhg0blJ49eyqenp6KVqtVQkNDlVGjRimnTp0y1wkLC1M6dOhwzeuVt097db9RURRlxowZSocOHRQ/Pz/F3t5eCQgIUHr27GnRB7mZ/u1XX32l1KtXT3F0dFR8fX2VkSNHKgkJCWXeQ3n7tyUKCgqUd999V6lfv77i6OiouLq6Kg0aNFBeffXVUm3czHtQFoPBoLzwwgtKcHCwotVqldq1ayuff/658tFHHylAqT5wXl6e8vbbbysNGzZUnJycFJ1Op9SoUUMZNWqUsmbNGou6+fn5yvTp05WoqChFq9UqHh4eSt++fZVdu3aViuNaOZo+fboClNmfutY5q1evVnr37q14e3sr9vb2SlBQkNKpUydl9uzZSn5+vrlebm6uMm7cOMXPz09Rq9UWn4Ou/uxztWv9ri5YsECpX7++otVqlcDAQGXSpEnKkSNHyuz3Xbx4URk+fLji7u6uODs7K+3bt1e2b99+zWsnJCQoTz75pBIZGWnOZ/369ZX//Oc/ypEjR64ZqxC2plIUK8wjFkIIwd69e2nWrBk///wzQ4cOtXU4d7WYmBjc3d3ZvHmzrUOplN555x3eeustTp48Wa6l80IIIYQQ5fHkk0/y6aefcuHChVJ7MIqbEx8fT0RERKmVLULcK2QPRyGEsJImTZowZswYpk+fftv7+FRlFy5c4NChQ+b9CcXNyc7OZubMmbz44osy2CiEEEKIW3LlHuclzp07x/fff0/Dhg1lsFEIcdtkD0chhLCir7/+2tYh3PUCAgIwGo22DqPScnd3L3PzfSGEbbz44ov8+OOPxMfHc/LkyXI9MVcIIWxtxowZbNu2jS5duuDn58fJkyf54osvMBgMvPfee7YOTwhRBcgMRyGEEEIIIW5R37592bJlC2FhYbYORQghyq1t27YAfPjhhzzxxBN8+eWXtGrVio0bN9KtWzcbRyeEqApkD0chhBBCCHFPiYuLY9asWezcuZPDhw8THR1tfgLslWJjY5k4cSLbt2/H1dWVhx56iDfffBOtVluqbnh4OOvXr5cZjkIIIYQQyJJqIYQQQghxjzly5AgrVqygRYsWmEymMvfdzczMpHPnztSsWZNff/2VxMREJk+eTF5eHh9//LENohZCCCGEqDxkwFEIIYQQQtxT+vXrx4ABAwAYM2YMe/bsKVVn/vz56PV6li1bhpeXFwDFxcU88cQTvPjiiwQFBd3RmIUQQgghKhPZw1EIIYQQQtxT1Oobd4FXrVpF165dzYONAMOGDcNkMrF27dqKDE8IIYQQotKTGY4VyGAwcOjQIXx9fbGzk1QLIYQQ4u5UXFxMamoq9evXx9HR0dbh3BViY2MZN26cRZmHhweBgYHExsbeVtt6vR69Xm9+bTAYSEhIICIiQvqMQgghhLhr3UyfUXo0FejQoUM0b97c1mEIIYQQQpTLrl27aNasma3DuCtkZmbi4eFRqtzT05OMjAzz66lTp7Jo0SIuXLhAu3btCA8PZ8eOHddte86cObz22mvWDlkIIYQQ4o4oT59RBhwrkK+vL3D5jQgMDKyQaxiNRtLT0/H29kaj0VTINe41klPrknxan+TUuiSf1ic5ta47kc/k5GSaN29u7ruI8ps5cyYzZ868qXMmT57M+PHjza8TEhJo3bo1O3bsqNA+Y0ZGBl5eXvLn0gokn9YnObUuyaf1SU6tS/JpfXcip8nJybRq1apcfUYZcKxAJUtiAgMDCQ4OrpBrGI1GHBwc8PX1lT+kViI5tS7Jp/VJTq1L8ml9klPrupP5lOW8/+Pp6Ul2dnap8szMTIt9HW+Fm5sbbm5upcqDg4MrtM/o7Owsfy6tRPJpfZJT65J8Wp/k1Lokn9Z3J3Ja0m55+oxV9qExixcvZsCAAQQHB6PT6YiJieHrr79GUZTrnqcoCu+88w6hoaE4OTnRqlUrdu7ceYeiFkIIIYQQd4Po6OhSezVmZ2eTnJxMdHS0jaISQgghhKgcquyA45w5c3B2dmb27Nn8+eef9OrVi0ceeYTXX3/9uue9++67TJ8+nUmTJrF8+XICAwPp3r07p0+fvkORCyGEEEIIW+vVqxfr168nKyvLXLZ48WLUajXdu3e3XWBCCCGEEJVAlV038+eff+Lj42N+3blzZ9LT05kzZw4vv/wyanXpsVaDwcCMGTOYMmUKkyZNAqBdu3ZERUUxa9YsPv300zsWvxBCCCGEqBh5eXmsXLkSgLNnz6LX61myZAkAHTp0wNfXlwkTJjB37lwGDhzIiy++SGJiIs899xwTJkwgKCjIluELIYQQQtz1quyA45WDjSUaNWrEF198QW5uLq6urqWOb9++Hb1ez7Bhw8xlWq2WwYMH8+uvv1ZovEIIIcSdoigKaWlpGAwGjEZjhbRvMBjIz89HpVJZvf17ze3mU6PR4OjoiI+Pj7wf/y8lJYWhQ4dalJW83rhxIx07dsTT05MNGzYwceJEBg4ciKurK+PHj+ett96yRchCCCFu0+32f6R/Y12ST+u7nZxWRH+xyg44lmXr1q1Uq1atzMFGwLxPz9X78tSuXZtz586Rn5+Pk5NThccphBBCVBRFUUhMTOTSpUtotdoK2VBapVLh4OAgnUcrud18FhYWkpOTQ0FBAdWqVZP3BQgPD7/hvt5wuQ+4fv36OxCREEKIimSN/o/0b6xL8ml9t5PTiugv3jMDjlu3buWnn35i9uzZ16yTmZmJg4MDjo6OFuWenp4oikJmZuZ1Bxz1ej16vd78Ojk5Gbj8pKCKmEFS0rbJZKqw9u9FklPrknxan+TUuu61fKalpaHX6/Hz88Pb27tCrqEoCsXFxdjZ2Ukn0gqskc/09HRSUlKwt7cvcxXIvfL7L4QQ4t6UlpbGpUuXbqv/I/0b65J8Wt/t5rSkv5iWloavr+9tx3NPDDieP3+e+++/n06dOvH0009X2HXmzJnDa6+9Vqo8PT0dBweHCrmmyWQiOzsboMx9KcXNk5xal+TT+iSn1nWv5TMrKwt7e3vc3d0pLi6ukGsoimIewJIO5O2zRj7d3d3JzMwkMzOzzJl96enptxWjEEIIcTczGAxotdoK+7JViKrA29ubrKwsDAaDVdqr8gOOWVlZ9OrVC29vb5YuXXrdD5Oenp4UFBRgMBgsZjlmZmaiUqnw9PS87rUmT57M+PHjza+Tk5Np3rw53t7eVhkdLkvJBxAfH58KWRZ3L5KcWpfk0/okp9Z1r+WzZE8XO7uK6wKUDGjJN9bWYa182tvbY2dnV2afpKCg4JbbFUIIIe52RqPxnujnCXG7NBqN1Va+VOkBx/z8fPr27Ut2djY7duzA3d39uvVL9m48fvw4DRs2NJfHxsYSGhp6w/0b3dzccHNzK1Wu0Wgq9C83tVpd4de410hOrUvyaX2SU+u6l/JZMmBV0QOBKpXK/CNun7XyqVKpyvw9vxd+94UQQgghxJ1TZdeOFRcXM2zYMI4dO8bq1aupVq3aDc9p3bo1bm5uLF682FxWVFTEr7/+Su/evSsyXCGEEEIIISpMYbHJ1iEIIYQQ4h5SZQccn3jiCZYvX85LL72EXq9n586d5p+SZUNdunShRo0a5nMcHR154YUXmDVrFh9++CF//fUXI0aMID09nWeffdZWtyKEEEIIIcQty8wtpOv7W/h+V7IMPAohhLih8PBwnnrqKVuHUWmNGTOGevXqlauuSqVi1qxZFRyRbVTZJdVr164FYMqUKaWOnTlzhvDwcIxGY6kN86dNm4aiKMyaNYvU1FRiYmJYs2YNkZGRdyTum1V0/jxFhw5Br162DkUIIYQQQtyF3lt7nOSsPFrvfpnPD7eh6ZBnaRPlb+uwhBBC3KWWLVt2w2dYiGt7+eWXyc3NLVfdHTt2EBYWVsER2UaVHXCMj4+/YZ1NmzaVKlOpVLzwwgu88MIL1g+qAihFRRiPn0Dp2dPWoQghhBBCiLtMfqGR7XFpjNRsoK3mCG0LjzD0mwB+rN+J//apQ4C7440bEUIIcU/Iz8/HycmJRo0a2TqUSq169eo3rFOS65YtW96BiGyjyi6pvldofHxQCgsx6fW2DkUIIYS4o0qWq6xfv54GDRrg5OREhw4diI+PJyMjg2HDhuHm5kb16tX5+eefLc797LPPqFWrFg4ODoSHh/Pmm29iMl1eapqWloaDgwNffPFFqWu2aNGCYcOGmV+fP3+eBx54AB8fH5ycnGjfvj179+61OKdkWdInn3xCWFgY7u7uDBw4kNTUVHOdTZs2oVKpWLduHSNHjsTV1ZWwsDBmzpxZKoYdO3bQuXNndDod7u7ujBw5kpSUlNvKpai6nLQaVj/TntCWg1lhasVyY0t2K9Es/zeZLrM38cWW0xQZZZm1EEJUBt9++y12dnZcvHjRojwjIwOtVstnn30GXO4r9O/fn6CgIHQ6HTExMfzwww8W55T0PVasWMGQIUNwc3Nj6NChQOkl1TfTXnn7Mj169MDb2xs3NzdatGjBunXrzMcLCgp48cUXCQsLw8HBgdq1a7No0aJy5WjFihW0aNECJycnfH19efzxxy1mG5bEuWbNGoYNG4aLiwuhoaHm9j/66CNCQ0Px8vJi/Pjx5i35SvKvUqnYuXMnnTt3xtnZmfDwcL7++muLGK5eUl1y3o4dO+jWrRs6nY7nnnsOKHtJ9ZtvvklAQAAuLi4MHjyYtWvXolKpzJPm4uPjUalULFmyxOK8Z555hpo1a1qUlaevWlFkwLGSK3J2JkvnQnFamq1DEUIIIe64CxcuMGXKFF566SUWLlzIqVOnGDVqFPfffz/169dn6dKlNGnShAceeICzZ88CMHfuXCZMmECPHj34888/GTNmDK+++ipTp04FwMfHh0GDBpXqPB45coRdu3bx8MMPA5CZmUnbtm05cOAAc+fOZenSpeh0Ojp37lxqAPCPP/7gjz/+4JNPPuHDDz9k8+bNTJw4sdT9TJgwgaioKJYtW0a/fv2YNm0aq1evNh/fsWMHHTt2xN3dnZ9//pnPP/+c3bt3M2DAAKvmVVQtjvYaHu7dBv+Rn7EsfLq5PLfQSMaad/n0vZfYeSr1Oi0IIYS4GwwaNAg7OzuLB90CLF26FMA8YHj27FnatGnDl19+yZ9//sl9993Hww8/zHfffVeqzUcffZTq1auzbNmyaz674mbau1FfZtu2bXTs2JGCggLmz5/PkiVLGDBgAOfOnTPXGTZsGJ999hlTpkxh+fLl9OzZkwceeIBVq1ZdNz9Lliyhf//+1K9fn2XLljFz5kx+/fVXc9/tSo8//jj16tVj2bJltGzZkgcffJBp06axZs0a5s+fz+uvv87333/P7NmzS507fPhwunXrxrJly+jUqRMPP/ywxT1ey8iRI+ncuTPLly/nwQcfLLPOxx9/zMsvv8yDDz7I0qVLiYyMLDP+8riZvmqFUESFSUhIUAAlISGhwq6xL/OSMnPJckW/dVuFXeNeU1xcrCQnJyvFxcW2DqVKkHxan+TUuu61fJ45c0Y5c+aMRZnJZFIMBoPVfvLz85VLly4p+fn5N32uyWQq972MHj1aUalUyuHDh81lc+fOVQBl2rRp5rLMzExFo9EoH3zwgVJcXKz4+Pgow4cPt2jrhRdeULRarZKWlqYoiqKsX79eAZSjR4+a60yePFkJCQlRjEajoiiK8sorryju7u7KxYsXzXUMBoMSGhqqPPfcc+aysLAwJTg4WDEYDOay6dOnK/b29ua2Nm7cqAAW55lMJiU8PFwZN26cUlhYqJhMJqV9+/ZK69atLfJ05MgRRaVSKStWrLhuvsp670vciT6LuLY7kf+Sv+uKioqUNYeTldYzNiidn/9MKXjFU1Gmuymvv/iE8p8f9ykX9fkVFkNVcq/923EnSE6tS/Jp6Zr9n6Licv/kFxYpl/IMSn5h0U2dd6Ofm+n7KIqiDBo0SGndurVFWadOnZQ+ffqUWd9kMilFRUXKo48+qrRq1cpcXtL3mDBhQqlzwsLClCeffPKW2iurL/Pwww+by1q3bq3UqVNHKSoqMvdvrvTXX38pgLJmzRqL8vvvv19p1qxZmTGVXCssLEwZMWKERfmqVass+oslcU6dOtVcJysrS9FoNEpISIhSWFhoLr/vvvuUmJgY8+tvvvlGAZSXX37Z4hrt27dXWrZsaX49evRopW7duqXOe+edd0rFDSjvvfeeoiiX/9wGBQUpDz74oEWdBx98UAGUjRs3Kopy+fcZUBYvXmxR7+mnn1bCwsLMOS1vX/VK1+svKsrN9Vmq7B6O9wo/rR16Fxfy0tJwtXUwQgghKqXCwkIcHe+OfdwMBgMODg7lrh8UFETdunXNr6OiogDo2rWruczDwwM/Pz8SEhKIjY0lLS3NPAOgxP3338+MGTPYtWsXvXr1onPnzkRGRvL111/z3nvvUVxczIIFC3jsscdQqy8vEFm7di2dOnXCy8vL/BA6jUZDhw4d2L17t0X7HTp0sLivOnXqUFRUREpKCgEBAeby7t27m/9fpVJRu3ZtEhMTAcjLy2Pbtm3MmjULo9Focc8hISHs3r2b3r17lzt34t6kUqnoXjeAdjV9+Xa1hr/2NCGGk/xk7ETugSQ2HEthUrcoHmoVhp1GFkMJIaquQqOJWv+98ay0inb8zZ442GnKXX/EiBHcf//9nDt3jtDQUJKTk9m8eTPff/+9uU5mZibTp0/n999/JzEx0dxv8Pb2LtVenz59bnjNm2mvrL7M+fPngct9mZ07dzJjxgw0Gk2ph/jC5f6Vl5cXnTt3tjjerVs3JkyYgNFoRKMpna8TJ05w9uxZPvjgA4vzOnTogFqtZs+ePRZ9xm7dupn/393dHT8/P9q3b4+9vb25PCoqqsxnfwwaNMji9X333cezzz57zdhK3CjX58+fJykpqVT7Q4YMKbWEvTxupq9aEWTAsZJzzDNSYHLkYlYC8qxBIYQQ9xoPDw+L11qt9prlBoOBzMxMAPz9Lf/VLHmdkZEBXO4gjx8/ng8//JAZM2awfPlyUlNTGTt2rPmctLQ0du7cadExLXH1ZuHXitNgMNywXlZWFnC5s280Gpk0aRKTJk0qdc2EhIRSZUJci5NWw+P9O3C6VRNeX7aN3NOXP4hcKihm1YpfydyWTYdhT9M0wsfGkQohhLhS37590el0/PTTT0ydOpVffvkFR0dHBg4caK4zZswYtm/fziuvvELdunVxc3Nj3rx5pfa0htJ9orLcTHs36suYTCaCgoKuea20tDQyMjLK7F8BJCcnExwcXOZ5UHowsMTV/aSy4rxW//Fqfn5+Fq/9/f0pKioiLS3tuvm8Ua6Tk5Ov2f6tuJm+akWQAcdKzmQwYp9vx4XCIurl5aF2drZ1SEIIIcRdy8vLC6DUvjUlm6+XHAcYO3Ysr7zyCsuXL+frr7+mU6dOREREWLTVs2dP3njjjVLXuZlZmuXl4eGBSqXixRdftPhQUcLHRwaGxM2L9HXhk0e6s+rwBV7/8yhp+hzesv+KqPxEfvrqID81fJ3ne0Xj42L932khhBA3z8nJiYEDB5oHHH/66Sf69euHTqcDLn+ZuXz5cubMmWOxX3TJw/GuplKprnu9m23vejw8PFCr1SQlJV2zjpeXF76+vqxcubLM41cPxl15HlzeA7FFixaljl9vkPNmpaSkUK1aNfPrixcvYm9vf8O+2I1yHRgYaG7/Slc/JKhkZVJhYaFFecnAbok73Ve9mgw4VnI6dy1uioaL9s4Up6WhDQ21dUhCCCEqmWt9e3urFEWhuLgYOzu7G3asyoqlItWqVQtfX18WL15s8Q34L7/8glarpXnz5uaygIAA+vbty8yZM9m9ezfffvutRVtdu3ZlwYIF1K5d29zJr0g6nY5WrVpx7Ngx3nzzzQq/nrh3qFQqetcPpEOUL1+s2UPCHn+iSGSxsQN7955n7ZELPNejFiNbhKFR39yfaSGEuFtpNWqOv9mz3PUv92+M2Nlpbrp/c6M4btaIESPo06cPa9asYefOnTz//PPmYwUFBZhMJos+1aVLl/jjjz9uKT5rtlfSl/n++++ZPHlymXW6du3KzJkz0Wq1NGjQoNxtR0dHExwczOnTp3nyySdvOrabsWzZMho1amR+XfKQwustpy6P4OBgAgMDWbZsmUU/9eqnUfv5+WFvb8+xY8fMZYWFhWzevNmi3p3uq15NBhwrOa2THT5qNRd1nhSnpsqAoxBCiJumUqms+i2noihoNJpbGnCsaBqNhpdffpmnn34aPz8/evfuzc6dO3n33Xd55plnSu1F9Mgjj9CnTx88PDy47777LI5NnjyZhQsX0qFDB/7zn/8QGhpKamoq//zzD0FBQWUue75d7733Hp07d+b+++9n+PDheHp6cv78edatW8fYsWPp2LGj1a8p7h06Bzue6d+Sky3+YNqS39mb4AmA3lDMzN93c2HbD3Qd+iSNwrxu0JIQQtz9VCrVTe2dqCgKGhSrDzjeim7duuHt7c24cePw8PCgV69e5mPu7u40a9aMd955B19fX+zs7HjnnXdwd3e/pScTW7u9d955h86dO9OtWzceffRRfHx82L9/Pz4+PowbN45u3brRr18/evbsydSpU2nQoAG5ubkcOXKEuLg4vvzyyzLbValUzJkzh5EjR5Kbm0ufPn3Q6XScPXuWFStW8Pbbb5v3+r5d33//PU5OTjRu3JiffvqJLVu2sGLFittuV6PR8Pzzz/Of//wHf39/unXrxtq1a9m4caNFPbVazeDBg/n444+pUaMGPj4+fPzxxyiKYvG7aYu+qkWcFdq6qHCmuH8IStpDmoML+alptg5HCCGEuOtNnDiRefPmsXLlSvr27ctXX33Fq6++ysyZM0vV7dGjB87OzowYMaLUg3W8vb3ZuXMnMTExTJs2je7duzNp0iTi4+PLXMpjDa1bt2br1q3k5OQwduxYevfuzeuvv46zszM1atSokGuKe09Nf1feeWIUHw6Pwc/18pcRk+0W81zOLHK+6s+LSw+QmVt4g1aEEEJUFHt7e4YMGUJSUhL33XdfqRUiixYtokaNGowePZqnn36aIUOG8NBDD93y9azZXtu2bdm0aZN5v+z77ruPZcuWERYWZq6zZMkSJkyYwKeffkqvXr14+OGHWbt2LR06dLhu20OHDmXlypXExsYyYsQI+vfvz+zZswkPD7/lfRDL8uOPP7JmzRoGDhzIX3/9xeeff261B/dNnDiR1157je+//55BgwZx8uTJMgdZ586dS8eOHXn66ad57LHH6NmzZ6ktd2zRV72S6v8fwy0qwPnz5wkJCSEhIaHMTU2tIe+fjRz5eTm/dB7OWP1p6oy8v0Kucy8xGo2kpqbi6+t721OiheSzIkhOretey2d8fDwA4eHhFXaN21lSfbf566+/6NKlC3v27KFJkyY2icFa+bzee38n+izi2u5E/m/177pLhiI+WHec1rsn0kW9jw+LB/F+8VA8nO2Z1jOa+5uGoL4Hl1nfa/923AmSU+uSfFqyRv+nKvVv7gaVMZ/ffvstY8eOJTU19Y7unX3gwAEaNWrExo0br7uaxRo5vdGflZvps8gMx0rOLiwKXWE2zoZiLuQZUArl22YhhBDidiUlJbFlyxaee+452rRpY7PBRiFszdXRnpf71aPa47/xrserfFo8AICsvCJe+PUQL334GYcSsmwbpBBCCCHuOjLgWMmpffxxclRwy8vnotqB4vR0W4ckhBBCVHqff/45nTp1ArjmXkFC3EuiA92Z+p9nmDGsGT4ul5fudVQfYEb2NPRf9ObtJdvJziuycZRCCCGEuFvIgGMlp1KpsPfzwutSFhd17hSnyT6OQgghxO169dVXMRqN7N27l+joaFuHI8RdQaVSMbhxMBumdGR0qzB6aHYDoMPAF3vS6Tx7E4v3JGAyyY5NQgghqp4xY8agKModXU4NEBMTg6Iole7hgDLgWAWoA4IJ0F8gxdGNgtRUW4cjhBBCCCGqMHcne14bUI/6j33Le24v8FLROBTUpOcW8tySf3ni0984lpRt6zCFEEIIYUMy4FgVVIvEP/MshWp7UtIzbR2NEEIIIYS4B9QL9mDKM9MYPXgAXrrLy6w90TMj9SlS5/flgyXr0RtkmbUQQghxL5IBx6qgWnVci7JxNBRzQZ+DYjTaOiIhhBB3KbVajclksnUYwgZMJhNqtXT9hHWp1SqGNQvhrykdGNUilKF2W/BU5dBUdZxf9iTSZfZmftufiKLIMmshhBDiXmJn6wDE7VO5e+Kk0+CWl88F7DFmZmJ3h/cUEEIIUTnY29uTn58vg0/3GJPJRFFREU5OTrYORVRRHs5a3hpUn4NN3mbWL9XIzEwnCR+4VMAzPx9g6T8neHlQU6L8XW0dqhBCCCHuAPmkUQWoVCqcA33xzskm2UkeHCOEEOLa3NzcMJlMpKWlyYyje4SiKKSlpWEymXBzc7N1OKKKaxjqyaTJL1Gn/zO4O9n/f6nC+MRXOP9Jfz5Zuo6cgmKbxiiEEEKIiiczHCu5wvw8cjLS8Q8Ox+/YBc4E1qcwJQ1HeaCmEEKIMuh0OlxdXUlPT0ev12NnVzFdAZlBaV23k8/i4mKKiopwdXVFp9NZOTIhStOoVYxqEUbPugHMXH2chH2r6KD5F4A/9v5Fl+Mq/tunDn0bBKJSqWwcrRBCCCEqgnwSqOSyLl4g4eBeNKE1CchIwKCxJy093dZhCSGEuIsFBQXh7++PVqutkPYVRaGgoEBmUFrJ7eZTq9Xi7+9PUFCQlSMT4vq8XRx4d0gDpjw6ntnOk1hhbM5vpjZc1Bcw8cf9PPjlP8Sl5Ng6TCGEEEJUAJnhWMm5evlQZMjH5B+GR1E22oJikvMuEaEo8o2xEEKIMqnVary8vPDy8qqQ9o1GI6mpqfj6+qLRaCrkGvcSyaeo7JqEexPz7HQW7DyL69rjXDJcXlJdM34Bpz8+xrrGLzG6d3uctfLRRAghhKgqZIZjJefo6orGXktuYRE6N3vccvNJNqox6fW2Dk0IIYQQQgjg8jLr0a3D+WtKRwY3roYP2Uy2W0J39R589rxP19mbWX04WWZGCyHEPSIhIYGePXsSHR1N/fr1efjhhykoKDAfP3PmDHXr1rVhhOJ2yYBjJadSqXD28CQ3Mx3nID+88vRc0LrIg2OEEEIIIcRdx9fVgTnDYvjkkW584TyesyY/ZhYPJynbwIQF+xjzzW7OpOXaOkwhhBAVzM7Ojtdff53Y2FgOHjxIXl4eH374ofn43r17adq0qQ0jFLdLBhyrAGcPT3Iy0rEPicBff4GLzm4UpciAoxBCCCGEuDu1qO7LxGdfZ33XleRpvc3lySf3cfSj+/j8zy0Yiow2jFAIIe5+zZs355NPPgEgLi6OCRMmEBMTg52dHfXq1bNxdP/zyCOP8Mgjj1iUBQYG0rx5c+Dydj9Nmzbl3Llz5uNXDjh+9913tGvXjjNnzpRqu1+/ftSsWfOa1547dy4qlYpTp05Z41YAy7yXGDRoEPXr1y9V96OPPkKtVvPrr7/esN2y8lSZyYBjFeDs4UlOZgbq4Br4Z54nX60lXWY4CiGEEEKIu5i9Rs3D7Wvy17Md6d8wCFB4w/4b+qh30Gn3BLrO3sT6oxdtHaYQQtyVli1bRnx8POPGjQPgyJEjrFixgho1alCnTh0bR2dp2rRpfP/995w8ebLM4/n5+Xz99df07dvXXLZ3717q1avHww8/zN9//826deuIiIgode7IkSOJi4tj9+7dZbb9448/0rJlS6pXr26Ve7k67yUmTZrE4cOHWb9+vbls8+bNTJkyhRdeeIHBgwffsO0b5amykQHHKsDZ3RPFZKLIwx+vIj12BUVcyL5k67CEEEIIIYS4IX83Rz4a0YhFDzdnh1NHshQds4qHcj7LwPjv9zD+u90kZOTZOkwhhLirfPDBB4wYMQInJyfg8ky/hIQElixZQuPGjW0cnaUaNWrQpk2bUrMC4fLD8UaOHEnXrl3p2bOnuXzv3r08+eSTtGrVii+//BJHR8cy2x4wYAAuLi4sWrSo1LH4+Hh27NjByJEjbyt+RVHM+0tenfcS7du3p3Hjxrz//vsAnD9/nmHDhtGtWzfeeOONcl3nenmqjGTAsQrQ2Nvj5OZGboEBFw8tbnkGkgzFmPKkYyaEEEIIUZESEhLo2rUrtWrVKnPTe1F+rWv68cRzM/i13Qq2aFqay7ccS2TdB+P5auV2WWYthBBcfqDK33//zZAhQ8xlarVthnf0ej0TJ07E398fd3d3xo4di8lkYvTo0UyYMMFcb+jQoSxcuJDi4mJzmaIojBs3DldXVz744ANzeXx8PAEBAURERFBUVHTd6zs7OzNgwAB++eUXTCaTxbEff/wRjUbD/fffby7bsWMH/fv3JygoCJ1OR0xMDD/88IPFeWPGjKFevXqsXLmShg0b4uDgwJ9//llm3q80adIkVq1axcGDBxk8eDBubm4sWrTopt6bsvJUWVXpAcdb3cMgPDwclUpV6sdgMFRwxLfOxcubSxlp6Kr545V3iWR7Z3lwjBBCCCFEBbOzs+Ott97i+PHjZW56L26O1k7NuK6N2DClI73rBwAwXrOCceoVDP3nPu5/fzmbjqfYOEohhLCtDRs2YGdnZ94D0VZycnJo164dGzZsYN68ebz77rt89913zJs3j6VLl/Liiy+a67Zu3Zq0tDQOHDhgLps4cSK5ubl88803qFQqc3nJ/o0//fQTX3zxBStXrrxuHCNHjiQpKYlNmzZZlC9atIhu3brh5+dnLjt79ixt2rThyy+/5M8//+S+++7j4Ycf5rvvvrM4NykpiaeffppJkyaxevVqYmJibpj3+++/n8DAQDp16sTRo0dZtmwZHh4eN8iipbLyVFlV6QHH29nDYMiQIezYscPix8HBoYIivX2uXj7kpKddfnDMpYukOLlTlCoDjkIIIYS495T3S+fY2Fi6deuGTqcjICCAqVOnUlhYeFPXCgwMpEWLFkDZm96LWxPk4cSno5rw3bjm2Ll4o1ecWG5swcEMO8Z8s5vHfthDYla+rcMUQgib2L17N1FRUTYfo3j33XeJi4tjzZo1DB48mAkTJtCgQQNeeuklRo0aRWhoqLlu3bp10Wg0/PPPPwBs27aNzz//nNjYWJo0aUJMTAyTJk0CLg84NmrUCFdXV37//XeeeeYZ9u/ff804unfvjq+vLz/++KO57PDhwxw+fLjUcurhw4czbdo0evfuTadOnXjhhRcYO3Ysn332mUW9zMxMFi5cyJgxY+jcuTM1atS4Yd7t7e3p06cPmZmZfPLJJ7f04J6r81SZ2dk6gIrUr18/BgwYAFyeErtnz55yn+vv70/Lli1vXPEu4eLljSE3B1NUDfwz/yVH05DstHR0tg5MCCGEEOIOK/nSuUWLFphMplJLrODyB4nOnTtTs2ZNfv31VxITE5k8eTJ5eXl8/PHHt3Tdkk3vZ8+efbu3IP5fhyhfWj73FgvXD+CzbefN5WuOXMT95FKi2wzkgS7N0NpV6XkUQoiKlP7/Ty92DQDtFZ+gM06DooDOFxzd/leedRZMRnD2AifP/5Vnn4figstlzl7/K9cnQVE+OLiBi69VQk5OTsbX9/bbys7OJjk5+Yb1IiMj0Wq1pcq//vprRo8eTUhIiLnM3d2dvLw8i9mNcHlFgIeHh/l6bdq0obCwEDs7O4vZjQBvv/22+f9DQkI4ceLEdeOzs7Nj6NCh/Pjjj3zyySdotVp+/PFHnJ2dGTRokEXdzMxMpk+fzu+//05iYiJG4+WtOry9vS3qeXt7m79QLHGjvP/99998++23ACQmJl435uvdy5V5qsyq9L/MttrDwBac3NzR2NljcPHCpygLVWExyZlZtg5LCCGEEOKOK8/G+fPnz0ev17Ns2TJ69OjBuHHjmDlzJvPnzycpKclcr3nz5vj4+JT6ubrda216L26fg52GcT1bsWRSH7rV8Qegvuo076jmMWT7QP4z5yu2npSVPUKIWzS38eWf+K2W5V90vlx+/KrlvD8Mulx+4EfL8l9GXy7f+all+Z//uVy++R2rhWwwGKwyu3Hx4sXUrl37hj+nT58udW5cXBxJSUml/s0rKiriwQcfJCwsrNQ5Dg4O5OdXzOz0kSNHkpmZyerVq4HL+zf2798fFxcXi3pjxozhxx9/5Nlnn2Xt2rXs3r2bcePGldpCz9/fv9Q1rpf3hIQEhgwZQs+ePXnkkUf45JNPytx/MjY2lubNmxMVFUXHjh0t+hwlKjJPd9K9MyJ3kxYuXIiDgwMuLi707t2bQ4cO2Tqk61KpVLh6+5Cbm4uLlxNuuQaScgtQbnJZkBBCCCFEZVeeL51XrVpF165d8fL63yyUYcOGYTKZWLt2rbls165dpKWllfrZt2+fuY6iKIwdO7bUpvfCukK8nPnioaZ8PaYpjV0zycOBDMWVvzJ8eOCrf3hy0T6Ssyv/BzQhhLgRLy8vsrKybrud8ePHoyjKDX+io6NLnVsyCHnlsukTJ06wa9cuGjVqVOb1srKySs0ktJbWrVsTHh7Ojz/+yM6dOzlz5kyp5dQGg4Hly5fz3//+l4kTJ9K5c2eaNm1a5kqIq2ddwrXzbjAYGDRoEJ6enixYsIDJkyeTnJzMzz//XKruY489xrRp0zhx4gSDBg3iueeeK1WnIvN0J1XpJdW3qn///rRo0YLQ0FBOnz7NW2+9Rdu2bdm/fz+RkZHXPE+v16PX682vS6bAGo1G8zRdazMajZhMJoxGI84enmSnpRAS5Itn7iUSdY4UpKRgHxhYIdeuqq7Mqbh9kk/rk5xal+TT+iSn1nUn8nkvvlexsbGMGzfOoszDw4PAwEBiY2Nvqq0nnniC3NxcfvnllzI/oFzN1n3Gyq5DTR9aTH6ehes6suqfQxRweZnfin+TuRi7k75tmzG8Ywz2moqbW1GV8nm3kJxal+TTkqIoqFQqFEUpffCpvZf/6xpweQl1ifF/gWK6vAz6ygG4B5aBqRicvS3rD/32f0uqryzv+8HlJdWObpbltyEqKoqNGzeWfT9XuNHx21Hy711qaqr5Os8//7z5d+/qa6emppKXl0dUVFSpAU1rGT58OB999BFOTk54e3vTo0cPi/YNBgMmkwl7e3tz+aVLl/jjjz+A0vm6+vW18v7II49w8uRJdu7ciaurK7Vq1aJnz568//77jBo1ylzv4sWLHDt2jEGDBpmf0P3SSy9hMpks8nllnm6GtXKqKMo1/+64mb9TZMCxDB999JH5/9u1a0f37t2Jjo5m1qxZfPrpp9c8b86cObz22mulytPT0ytsM1eTyUR2djYAhahJOX8OH3dvfBKTOOxRg7S4OOzs5G2+GVfm9F5all9RJJ/WJzm1Lsmn9UlOretO5DM9Pb1C2r2bZWZmlvnkSE9PTzIyMsrdzrZt25g/fz516tShSZMmAHTq1In333//mufYus9YVf5c9m8WReOaYczZdI7t8XocKeAD1WxctuXzxp6JtO42hCYhrhVy7aqYT1uTnFqX5NNSyVLY4uLi0gfdr1j6e+VxtxCLcvMgjEvQ/75curK+LqDsdpz9yi6/DS1btuSNN94gPj6e4OBgAPLy8li1ahUA8fHx6PV68wy79u3bW2XPxys1bNgQJycnXnzxRQwGA+vWrWPXrl00a9aM3377jY4dO1K7dm1z/ZKHoLRs2ZLiK/NJ2bMJb8WwYcN45513+Pbbb3nkkUdQqVQW77lOp6Np06a8++67eHl5YWdnx3vvvYe7uzspKSnmuiUDplf/vpSV9/fff5+FCxeydOlSatSoYT5n4sSJ9O7dm40bN9KuXTvg8hOyg4ODzfft6OiIs7MzSUlJ5iXcV+fpZlgjpyaTiYKCAlJTU8s8fjN9RhmJKofAwEDatm3L3r17r1tv8uTJjB8/3vw6OTmZ5s2b4+3tbfU/3CVKfpl8fHzw9vQg5dghHMLDCNy1mt1OMaiLiyvs2lXVlTnVaDQ2jqbyk3xan+TUuiSf1ic5ta47kc+CgoIKafde0KZNm5ueSWDrPmNV+nPp6wvf16jG+mMp/PHnUrwKLuFAIfsuubNw6QkGNAzk+Z618HNztOp1q2o+bUlyal2ST0v5+fmoVKrbmoxT8nd9WQ85udO6dOmCt7c369at45FHHgEgIyODESNGWNQref3XX38RaOWVj76+vixYsICpU6dy3333UbNmTVatWsX58+cZNWoUH374IV9++aW5/tq1a2nXrh3VqlUDKiafMTExNGjQgH///ZdRo0aV+X4vWrSICRMm8PDDD+Pt7c3EiRPJyclh9uzZ5vpqtbrM35er875+/XpefPFFpk+fzsCBAy3q9uzZk3r16jF37lw6deoEgEajKbNdOzs7c9nVeboZ1sipWq3G0dHxmv2Rm+kzyoCjFbm5ueHm5laqXKPRVOhf8mq1+vI1tFp07u4U6LzwL9ZDkZGULD1B8g/MTTPnVHJnFZJP65OcWpfk0/okp9ZV0fm8F98nT09P8+yfK2VmZlrs61gRbN5nrILvd8/6QXSo9QTfr27A6V2rOKZcnrH0+8Fk9saeZkLHGgxv3wA7Ky6zrsr5tBXJqXVJPv+nZPDldge2VCqV+ceWHBwcGD16ND/99BOPPvooABERERW6hLosgwcPZvDgwRZl9evXL7VSoLi4mKVLl/LOO+9Y5K4i8nnw4MHrHq9ZsyYbNmwoVX7lyoOSJ01f7eq8d+vW7bqzEK9+FkhISAgJCQnA5XvPyckhLy8PPz8/82zMsvJ0M6yRU5VKdc2/N27m7xOZW10OSUlJbN26lWbNmtk6lBty8fYh91I2bt7OuOYaSLqUhyL7dgghhBBCWIiOji61V2N2djbJycllbo4v7n5OWg2P9e/AY//5L+1q+pjLnzF9R69NfZk9+012x5d/ubwQQtzNnn32Wf75558bDrDdDRYtWoSLi0uph7hURreTd39/f6Kjo/n1118B+Oqrr+jfv79524OqlCeo4jMc8/LyWLny8iPsz549i16vZ8mSJQB06NABX19funTpwtmzZ4mLiwMuPzp9+fLl9O7dm6CgIE6fPs2MGTPQaDRMmTLFZvdSXq5ePiSdiMUvxB+vrFwSdVqMWVnYVYEnHAkhhBBCWEuvXr14++23ycrKMu/luHjxYtRqNd27d7dtcOK2RPq68P245qw6fIFP/9xKn4KdOKkKKcq+wND5O7ivcTDP94rG17Vi9ssUQog7ITAwkG+//faae+3dTdRqNV9//XWVeL7E7eZ9/vz5jB49mueff56goCAWLlxoPlaV8gRVfMAxJSWFoUOHWpSVvN64cSMdO3bEaDRaTIGNiIggKSmJZ555xtwB7dy5M6+//joRERF3NP5b4ertgyFHjyowDL/zFzjpVZ3i1FQZcBRCCCHEPaM8XzpPmDCBuXPnMnDgQF588UUSExN57rnnmDBhAkFBQbYMX1iBSqWid/1AOkQN4puVXjjv+5xvjT0AWLrvPGuPJvNil2CGtamLRm3bpZFCCHGrrh7vuFs98MADtg7Bqm4n73Xq1GH37t1lHqtqearSA47h4eE33MNg06ZNFq9btmzJxo0bKzAqK9MnYX/hMPhe/ibe2c0djZ09Bnc/ArIOsKdGHXJS0nCUlUFCCCGEuEeU50tnT09PNmzYwMSJExk4cCCurq6MHz+et956yxYhiwqic7DjiUFdiGvTnGa/HWHH6ctP1+xY+Ddd13/PBzsfptOwp2kcVrH7dgohhBD3mio94HhPKMxFm7QL6nUFNKjUaly8vMm3d8bfpMdUaORCZi4+N2xICCGEEKJqKM+XzgC1a9dm/fr1dyAiYWs1/FxZ9EgL/vw3mbf/PMSzhb/gq9LTXL+OwfOaMrxZKFN7RuOl09o6VCGEEKJKkIfGVHYeIWAqAn2SucjFy5scfRbu3s645BVwPvPSHX9alRBCCCGEEHcTlUpF/4ZBrHu2M8sbfMw6UxNeLR4NqPhpdwKdZ29i0c54TCbpNwshhBC3SwYcKzs7R0w6f8g6Zy5y9fYlJyMdXbA/nnm5JBk1mC5dsmGQQgghhBBC3B1cHe15ckgPQp74De+w+uZyx7wLtFjZkznvz+BQQpbtAhRCCCGqABlwrOTyLxWSVhSKKiveXObq5Y2xuIhiv2r45aZyQetC0YULtgtSCCGEEEKIu0x0gBs/P9aSOcMa4uOi5QX7H6muTuYR/Vwe/HQN//3tENl5RbYOUwghhKiUZMCxksvPKSIxxQclKxGKCwGwd3TE0cUVg6sPAfqLZDo4kXv+vI0jFUIIIYQQ4u6iUqkY3DiYDVM6cq7+RLaa6vFe8f1kKS4s2HmOTrM38cueBFlmLUQlp9FoMBqNtg5DiLue0WhEo9FYpS0ZcKzk3LwdKda4kGtwgOwEc7mrlw95ansCTZcwGhWSEpNlH0chhBBCCCHK4O5kz8RhvfF8bAXHgu4zl2fmGnD+/WFmfziTI4lZtgtQCHFbHB0dKSwsJD093dahCHHXSk9Pp7CwEEdHR6u0J0+pruTstBqc3LTolWDcss6Cd3UAXL19SD51An9fHe55BcQrJmpnZWHn6WnjiIUQQgghhLg71a3mweLH27Jk33neWRVLF8Na+mr+oW/2Pwz5REu9lt2Z3D0Knb3M2xCiMvHx8aGgoICUlBSysrJueQaXyWRCrZY//9Yi+bS+W82p0WiksLAQV1dXfHx8rBKLvLOVnDG7AJ2ikF3sD5nx5nIXbx/y9dk4BPnir88m3sWbonPnrt2QEEIIIYQQArVaxbCmIfw1pQPV6rVjp6k264xN2GOK4tvt8XSetZnfDiTJ6iEhKhGVSkW1atXw8fFBq9XeUhuKolBQUCB/9q1E8ml9t5NTrVaLj48P1apVQ6VSWSUemeFYySmFJpxzjaSr3TBmp6IpzAOtMzp3D9QaO4q8/Ik4kcCmGm3RJ5zHqWFDW4cshBBCCCHEXc/DWcszI/rzb0I7Pli2G5IuP0AmLaeA/b/O5oRXIAOGP0qdarKCSIjKQKVS4evre8vnG41GUlNT8fX1tdoed/cyyaf13W05lRmOlZzG0wEHB0DlhN7gCllnAVCp1bh4emFw8SJYnwBGNWdS0lFko1whhBBCCCHKrUGIJwuf6sbbg+rj7mRPiOoiL9st4IVLb/PjvNd5a8VRcgqKbR2mEEIIcVeRAcdK7qihgN/dNOi0GrKVYMg8az7m6u1LrqLB3bEQb30ep1Vaii9csGG0QgghhBBCVD4atYqRLULZ+GxH+tfz46ASSZrixu/FLfni7zN0mbWRPw/KMmshhBCihAw4VnJ+WjtSHVUoikJ2ke9V+zh6k5OZgS4ihGqZFzjj5kfBuYRrNyaEEEIIIYS4Ji+dludG9UU9ZiWTXd5FjwsAFy8V8vlPS5n18UfEpeTYOEohhBDC9mTAsZLzsbdD52xHur0JQ7ELhmw95GcBl59UbSwqRImIJiLlOFn2Oi4kJtk2YCGEEEIIISq5RmGezBjViel9a+PqaIcaE+/Yf8Fz6a+wZe4jvLs6lrxCWWYthBDi3iUDjpWcSqUiTGdPsrMGe7Uj+kJv8z6OWkcnHJxdKPCPwDf/Ak75RZzOysFkMNg4aiGEEEIIISo3jVrFQ63C+GtKRx5ooKMQewDWG2OYt+kUXWdvZvXhZFlmLYQQ4p4kA45VQJjWjvPOahzsVGSbqlksq3b18SGvuAi3ADf8s7I55eBG0fnztgtWCCGEEEKIKsTX1YHXR3amaMwante9wXZTPQCSsg1MXrCdmfM+40xaro2jFEIIIe4sGXCsAqppNeBsh16lkF3giZIRD///Taqrlw+X0tJwqlWHsIx4zrt6kyv7OAohhBBCCGFVzSN9eGPyU/y3T21cHOwAmGi3jGkp0zj80RBmr4klv9Bo4yiFEEKIO0MGHKsAe5WKUA8nUp3AaHIhJ7sYclOByw+OydNno4luTHjqSYpMdpxNviBLO4QQQgghhLAye42a8e0i2TClAwMa+NNcHQtAksmTuRtP0e39zaw/etHGUQohhBAVTwYcq4hInSPnXTQ4aR3QF/tB5uV9HHUenqjVavJdvfBwKsZTn0ucQcGUnW3jiIUQQgghhKia/N0c+XBkUwoeXMEsx6f4qHgwAOcz8xn//R5e/nwxCRl5No5SCCGEqDgy4FhFRDo5oHdUU6RRyDYGmvdxVKs1uPsHkHUhGdca4VTLSuGMsxeFCbKsWgghhBBCiIrUuqY/Tz/7BhN7NcJZqwGglfoIbySN5+AH9zFv9X4MRbLMWgghRNUjA45VgGIy4WGvwcfNkVSNwiWDG8Vp58B0ufPiVS2EjMQEtHUaEZFyglRHV9JlH0chhBBCCCEqnNZOzYQO1Vk/uQO96wcwQvMXAJEkMmtTAj0+2MLG4yk2jlIIIYSwLhlwrOQKjh+ncOUqAKp7OHPRRY1K7YL+kh3okwDwCqxGocFAYWB1Agyp2BuKiEvJQDHKt6lCCCGEEELcCUEeTnw6qgkeo77hI+0j/LdoLEY0nE3PY+w3u5n07UYSs/JtHaYQQghhFTLgWMlpfH0xpaZizM4m0tmBC85q7LV2ZJsCIevyPo72jo64+fiSlZWFZ7AHfll6TuFA8UXZsFoIIYQQQog7qX10II9NfZcu3fvhaH/545gbubx4ZjS75wzj6zW7KCw22ThKIYQQ4vbIgGMlZ+flhcrDncLTpwl21KLVaclSKWQX+qJkxJvreVULISMpAafa9QjLOEe8zgfDufO2C1wIIYQQQoh7lIOdhic71WDdpA50r+PPg5p1+Kqy6aXawbebDtPzwy1sPZlm6zCFEEKIWyYDjpWcYjSi9vWl8NQpNCoVkV7OpDmBociFgrSLUFwIgFe1YPIv6SkOr0NE+mnyVRoSkpJsHL0QQgghhBD3rhAvZz5/qCnNRr3Kx9pxzCkewjnFn9OpuTzw1T9MXLib5GxZZi2EEKLykQHHSq7g2DGMp05TeOECxpwcIl0cSXKzw85OR3aOI2RffjiMo84FnYcnekWDj4sJV30+cVk5mAoKbHwHQgghhBBC3Ns61qnG+Odm4dRpMlq7/31E6xP7AtvnjOD79XsoMsoyayGEEJWHDDhWctqISFBMqNRqCk+dItLJgXwnDQX2GrJN1SAz3lzXq1oImUnncYuKIEifRpydG0XnZVm1EEIIIYQQtuZor+GZrlGsn9SBztF+tFEfoqdmN/epNnJo48/0/vBvdpxKt3WYQgghRLnIgGMlp9Y5ow4MRGVvT0HcKXR2GgLdnUi1V8gu8MKUHm+u6xUUTE5mOtSoR0TqaS44uZN9LsF2wQshhBBCCCEshHo789XopowZMZJP7R5kq7EuS4ztOZmSw4gvdvLMT/tJ0RtsHaYQQghxXVV6wDEuLo4JEyYQExODnZ0d9erVK9d5iqLwzjvvEBoaipOTE61atWLnzp0VHO2t00REoBQUUJiUhCk3lxoezqS6qjEadeSkZkFhLgDO7h446lzIcfUjtDAFCoo5nZxi2+CFEEIIIYQQFlQqFd3qhzJ26of80/Zr7DV25mOOhxawafYoFv61n2JZZi2EEOIuVaUHHI8cOcKKFSuoUaMGderUKfd57777LtOnT2fSpEksX76cwMBAunfvzunTpysw2lunCQsDtRqVYqLg9GkidQ6k6+xQOejQG9wg6xxwuePiVS2EzLQUvMJ88NFf4kS+gjE728Z3IIQQQgghhLiak1bDlB7RrH6mHe1q+uCFnuftfmSYaj3av16h79yt7InPsHWYQgghRClVesCxX79+JCQksGTJEho3blyucwwGAzNmzGDKlClMmjSJLl268NNPP+Hl5cWsWbMqOOJbo3JwQBsaCho7CuJOEaC1R+eiJcMOso2BV+3jGIw+NQVtVG3CMs5zxsmTgrPnbBe8EEIIIYQQ4roifV34flxzZgxvzU92A0hXXJlTPJTYC5cYMn8HU345SFqOPAxSCCHE3aNKDziq1Td/e9u3b0ev1zNs2DBzmVarZfDgwaxcudKa4VmVQ40aKIUFFCaeR8nPp7qXjjQnuJTvTlHqWXM9Vy8f7LRacn3DiMw6S5bangvnE20YuRBCCCGEEOJGVCoVPWLCeHDqXL5ptpxUtY/52L79u1kz6yF+3vIvRpNiwyiFEEKIy6r0gOOtiI2NBSA6OtqivHbt2pw7d478/HxbhHVNh+MvsHrvSewjIlBpHaCwiIIzZ4h0deSiux2oXdCnGSA/EwCVWo1XtWCy8g0EuqnQ5eRzPDULxST7vwghhBBCCHG30znY8WzfGFY/045Wkd6Awmt23zKK1dRf/wADPv6bfecybR2mEEKIe5zdjavcWzIzM3FwcMDR0dGi3NPTE0VRyMzMxMnJqcxz9Xo9er3e/Do5ORkAo9GI0WiskHhTs3P590Q8vVs2wD40hMLTpzGcPElIVBRGJw05Dg5kFXjjcfEYhLQAwN0/iJP/bCWgZhhBSRnEeTpRkJyMfUBAhcRY2RiNRkwmU4W9Z/cayaf1SU6tS/JpfZJT67oT+ZT3SojKp4afK4seacGKAwkc/7M2LYyxzC/uy+GkSwz+dDvDm4UwtWc0XjqtrUMVQghxD5IBRyuaM2cOr732Wqny9PR0HBwcKuSa3s525BUprNl1iM7ePhTs209u3jGcGjXCQ2MkSSnEKc8H75M7MDhEgEqFSaUmNy+fi+4+hKTE8pdvc5IOHcJZo6mQGCsbk8lE9v8/SOdWluULS5JP65OcWpfk0/okp9Z1J/KZnp5eIe0KISqWSqWib6NQcurM4/MVI1ix53+rsRbvjifw8DwCu0xkSOvaqNUqG0YqhBDiXiMDjlfx9PSkoKAAg8FgMcsxMzMTlUqFp6fnNc+dPHky48ePN79OTk6mefPmeHt74+vrW0HxFuPl7cPJpHSGd+xO5v59mHJyccvJoWFICLtTi1ElBWJfdAhXJyO4BgKgr14DTAo1lJ38ZdKQkX2JsAqKsbIpmeXh4+ODRgZhb5vk0/okp9Yl+bQ+yal13Yl8FhTIwyaEqMxcHOyYOLgz3Vtf4uXfD7PrTAZjNGv4j7KIi+tW8sC++Tw/uBUNgj1sHaoQQoh7hAw4XqVk78bjx4/TsGFDc3lsbCyhoaHXXE4N4ObmhpubW6lyjUZToR+4mkaFsHn3Qc5m5OBXvTqGY8coOhNPjZq12OiqxahVyFSqE5xyBDyCAfAJDuX0/j1ERPjim5dLXHERMRkZ2MmgI3B5BklFv2/3Esmn9UlOrUvyaX2SU+uq6HzK+yRE1VArwJWfH23JbwcSSfpzOYVGDdtM9dieZGLAJ9sY2TyU53rUwsNZllkLIYSoWLLO6SqtW7fGzc2NxYsXm8uKior49ddf6d27tw0ju7aYMC9UDs5sPhCHQ82aKEVFFMSfwVMx4umqJdtRRaohBOXiUTAWA+ARWA1jcRGm0EjC089zwt2P3KPHbHwnQgghhBCVS3h4OHXq1CEmJoaYmBjWr19v65DEPU6lUjGoUTAPTv2Iz+ou5J3iUQAoCiz85xyvzprNrzuPY5KnWQshhKhAVXqGY15eHitXrgTg7Nmz6PV6lixZAkCHDh3w9fWlS5cunD17lri4OAAcHR154YUXePXVV/H19aV+/fp8+umnpKen8+yzz9rsXq7HWashMqQaJ86eg86NULu6YszOpij+LDW8/UjW5eKX5U62XotH+knwq42dvT0efgFcUhRqZ+7hIA05fuYszdoUo7Kr0r8WQgghhBBW9ccff1CjRg1bhyGEBTdHeyYO60WXtnpe/v0we89mEq06xyzjTFJXfc6zu97g4SH9qBvkbutQhRBCVEFVeoZjSkoKQ4cOZejQoWzatImEhATz6yNHjgCX90UqLi62OG/atGlMnz6dWbNm0bt3b86fP8+aNWuIjIy0xW2US6eY6uQVFLL3dDIO1auj0thReCqO6q5OXHC1w9lBQ6qxJlw4ZD7Hq1oIWfpsAn3UBGZe4oDGhYLTp214F0IIIYQQtycuLo4JEyYQExODnZ0d9erVK7NebGws3bp1Q6fTERAQwNSpUyksLLzD0QpR8eoEubH4sVbMHNKA1o7xKKgwomZVkhP95m7l1T+OoDcU2TpMIYQQVUyVnsoWHh6Oolx/qcCmTZtKlalUKl544QVeeOGFCorM+moFeqBz82TboTiatKhJ/t69FJw5Q3AX0Lg5oE/Lwy7Pj8KLB9AWXAIHVzyDqnFq7y5UNSKpE3ucDQ1bknI0ltCoKFvfjhBCCCHELTly5AgrVqygRYsWmEwmTCZTqTqZmZl07tyZmjVr8uuvv5KYmMjkyZPJy8vj448/vulrDhkyBJPJRKdOnXjrrbdwcXGxxq0IYTVqtYphTUPIqvMGn/7Rhu3/niAfR1Dg2+3xHDq4m4d6tKF/sxqoVPI0ayGEELevSs9wvBfkZmWSfvYMGrWKRrUiSL6YSo6nDxpPL4zZekwJCdTxdSHOVY2dRkdaXgBcOAyA1tEJVx8f8oJqEZl1Ese8Yg6m6TFmZ9v4roQQQgghbk2/fv1ISEhgyZIlNG7cuMw68+fPR6/Xs2zZMnr06MG4ceOYOXMm8+fPJykpyVyvefPm+Pj4lPq5st2///6bAwcOsGvXLvLz8+/aLXiEAPBw1vKf4f156YnxNAy+vJRaSxHvFc2gyYqevP7RZ8Re0Ns4SiGEEFWBDDhWcoX5+STFHqHIYKBTg3CK0fD34TM41KwBajUFcado7KYjyc0OlQZSi8JRkg9d3jUa8AoKISs3F5+oYGpePM9BtwDy5OExQgghhKik1Oobd29XrVpF165d8fLyMpcNGzYMk8nE2rVrzWW7du0iLS2t1M++ffvMdUJCQoDL+4A//vjjbNu2zYp3I0TFaBDswbIn2vD2oPp0coojVJVCEOnsvVBIn4+28ubyo1ySZdZCCCFuQ5VeUn0v8AgIROvkREr8KULrNsDf3599sWfo1S2G3J3/UBAXh2+XzgT76DibmkVghheX0nJw0yeBezW8qgVz9t990KQd9X76g4Mhg4mNO0PTFs1RlaPDLoQQQghR2cTGxjJu3DiLMg8PDwIDA4mNjS13O7m5uRQXF+Pu7o6iKPz888/ExMTc8Dy9Xo9e/79ZZMnJycDlvcWNRmO5r38zjEYjJpOpwtq/11SVfN7ftBrdaj/JR39EcunYX/yrVAdF4cutZ9hwII5JPevQOyb8jiyzrio5vVtIPq1Pcmpdkk/ruxM5vZm2ZcCxklOpVHiHRnDxVBwhtevRtmFNfl21kbNqR7x8vClOSaUwIYEmfoGsdL9EeI6W1MII3C4cAvdqOLm44uzuSY7Oi0API0Hpmex30NLw3Dm04eG2vj0hhBBCCKvLzMzEw8OjVLmnpycZGRnlbufixYsMHjzYvFdkgwYN+Oijj2543pw5c3jttddKlaenp+Pg4FDu698Mk8lE9v9vm1OeWaDi+qpaPkd2bc3hug3Y9tc5TqTmAzDe8C0xf/zLu1ueoHPPQUR4OVVoDFUtp7Ym+bQ+yal1ST6t707kND09vdx1ZcCxCvAMDuFS4jkyks7TokY1fnfUsenAKUZERVGcmkbBqVPUDI9A6+5A6sUiinKDCEvajl2NLqCxx7taMGkJZ6nZsg11tx5mfYPWpB09RpAMOAohhBBCXFNkZCQHDhy46fMmT57M+PHjza+Tk5Np3rw53t7e+Pr6WjHC/ymZkeDj44NGo6mQa9xLqmI+O/n60r5eOIt2nWPBup0MUzZhrzLikH6UBxdEM65NOE91qo7OoWI+QlbFnNqS5NP6JKfWJfm0vjuR04KCgnLXlQHHKkBjZ49vWATJJ49TLziUmuHBxJ05g6pPC9i6lYITJ3Ht3JkYP1eOpuTTOM+NtCwnAtJOgn8d/CNrcD72CAWNm1Fj7Ub+zm3K3qx0AvLyUDs72/r2hBBCCCGsytPT0zwD4EqZmZkW+zpWFDc3N9zc3EqVazSaCv3QpVarK/wa95KqmE+NBsa0iaRvw2rMXWpP9biv+dzYl2IUPv/7DH8eTGJ6n5r0aBBaIcusq2JObUnyaX2SU+uSfFpfRef0ZtqVeatVRED1KPRpKeRmZdKlUQ3yC4o4cKkIu4AAitPTKIyPp6Gbjiw3ewq0alILI1GS/wVA6+SMT2g4FxLO4dMgipopCRx09iXv2HEb35UQQgghhPVFR0eX2qsxOzub5ORkoqOjbRSVEHcPHxcHJo8eStDDC4kM+N8gfP2crUQt7c7MTz/lTFquDSMUQghxt5MBxyrCyc0Nj4Agkk8ep4a/B64eXmw7dAbHWrVQax3I27cPV42aWn4uJLioyC30JjcpEQyXNywPqhlN1sVklEbtqJ98iCy1IydOxKH8/9OshRBCCCGqil69erF+/XqysrLMZYsXL0atVtO9e3fbBSbEXaZZuBfLJ7bllb51cHdQ8V+7BUSqL9Dp4nf0eH8zs9YcJ79QHvgghBCiNBlwrEICqkeRdi4eY1EBTWtHkpySSm5gMCp7O4oSEylOSqKRpwvnPOxQO+hIzQuAi4cB0Hl44uEfSEp+AdWCHAlMz2BvvoriCxdsfFdCCCGEEOWXl5fHkiVLWLJkCWfPnkWv15tfp6amAjBhwgRcXV0ZOHAga9eu5ZtvvuG5555jwoQJBAUF2fgOhLi72GnUjGsbwbopnVkc8QZ7TTV5uWgshUaFjzfG0e39zaw7etHWYQohhLjLyIBjFeIZGITW2ZmLZ07RqUE4JpWGrUl67Hz9UNlrydu3j1BHLV6eTiQ7QpohGGPiIfj/WYxBUbVJOxePY7PW1Es8ykmdN2lHj9r4roQQQgghyi8lJYWhQ4cydOhQNm3aREJCgvn1kSNHgMt7OG7YsAE7OzsGDhzI888/z/jx45kzZ46Noxfi7uXn5siUsSMofGg1Jt865nJD5gW8f+rNrHmfcS49z4YRCiGEuJvIgGMVolKpCKgexcVTJ/FwsicoIIADJ87i1LgxSlEhBadOY0xPp7GfK2c87TDiQcaFQtAnAuDuH4CTqzuZrgFEkYJ9bgH7zqVgKiy08Z0JIYQQQpRPeHg4iqKU+dOxY0dzvdq1a7N+/Xry8vK4ePEi7733Hlqt1naBC1FJtKrhw8r/tOPF3tE4azW8YL+Ixuo4HrswncHvr+TD9ScxFMkyayGEuNfJgGMV4xceSXFhIRlJ52nfqCbZej1nXbzReHiAWkXevn3UdXHG5K4l21FLSkEo/P/DY1QqFUFR0Vw4exrPRg2ISklgn70HhhMnbHtTQgghhBBCiLuGvUbNo+2rs2FKB86E388RUxgfFN9HWrET768/QY8PtrDxeIqtwxRCCGFDMuBYxdhptfiGRZAcd4KmkQHYObuy6d84nJs0QSkqxhAbi31uDvX83Uhw06A3+JKXcBKMRQD4hIah0WjICatDg/RYsrDneGycje9KCCGEEEIIcbcJdHfi2YcfJHPUWjZ7DjaXn03PJfGHCbz32decz5Rl1kIIcS+SAccqKKBGFPrUixTlZBMdEULc2URUNWqi8fRAKSoif/9+GnnqSPW0o9DRndRMHaQeB0Ct1hBQsxYpqSmERHgRkJnJ7uwiitPTbXxXQgghhBBCiLtR21oBrHimI8/1qIWjvZr+6h08YLeB55InMXnOl3yyMY6CYllmLYQQ9xIZcKyCnN3c8fAPJDnuBN0a16SgyMiWI/HoGjcGRSH/yBG8i4sI83Eh0UlNan4opvP7zA+P8Y+sQVFBAcV1GlE/KZaTTh6kHzlm47sSQgghhBBC3K0c7DQ82akGG6Z0pFpEFMdMIWwx1mdXUSTvrTlOrw/+5u+TqbYOUwghxB0iA45VVECNWqSdPUM1N3v8g4LYtOcI1KyFxsMDU04u+f8eopGvK4k+9hjwIzMxC9IvL5221zrgFx5JilFDHadL2OcUsu/MeZTiYtvelBBCCCGEEOKuVs3DiWmPjObiiDXMcn0OUAFwOi2XX7+Zzawvvyc5O9+2QQohhKhwMuBYRXkGBKJ1ciI1/gxD2zckx1DI6v0ncW7cGBQTeQcPUNNejaOHA2nOWi4U10E5tQlMJgACa0aTk5GOQ/26RKWeY4/KlfzDh217U0IIIYQQQohKoWPtavwyqS+TukbhYKcmkHTesv+aZ89PZO7s1/hs8ykKi022DlMIIUQFkQHHKkqlVhNQI4oLp05Q09+NsLAwdhyMpTiyJhoPT4wZmRQdO0ajQHfOe2rQFwSQmVoIFy8PKjq6uOAdHEKGRyAx+jNkqrUcPHAIU0GBje9MCCGEEEIIURk42mv4T9earJvUgR4R9iQqPmQpOlYXNmTGqlh6f/Q320+l2TpMIYQQFUAGHKswv/DqFBUUkJmcxPAODTEUK/y+OxanRjGgmMjdt58GLo7kemgpdrYnIb8eptN/g/Hy0umgqNpkpqURWNOPqIsX2ejkj373HtvelBBCCCGEEKJSCfV25tXHRnB26BqecXiDDNwAiEvJ4dUvlzDr60Wk6A02jlIIIYQ1yYBjFWan1eIXHkly3HGqeemoU6sG+4/FkRteA42HJ8XJyWhPn6JWkBtnXdUUmvxISdVC4l4AXL19cPXxQR9ck9aJe7iEEztOnMGo19v4zoQQQgghhBCVTdf6Icx7dgwTO9dAq1GjwsQ79l8w+ewTLP3gP/y47yLFRllmLYQQVYEMOFZxATWi0KdeJCczg/vb1cOk1vLrzqM4N250eZbj3r209nYlyVtLgYOaREMdik/vgKLL3zAG1axNep6BwChf6scfZ5tLNVJ2/GPjuxJCCCGEEEJURk5aDVO612LNpPb0j9TgQQ5qlcLeonA+3HKe/p9sZ3d8hq3DFEIIcZtkwLGKc3Zzxzs4jDP79+DhrKVZg2hiT58lvVoYGncPis7E456YSONqHhzy1mDCi8R0bzi3AwCvoGponZzIj+lAy7T9aPKL+Ssxg6KLF218Z0IIIYQQQojKKsJHxweP9OLk4LX8124yG02NADh+MYcH5m9m9ne/kHpJ9o8XQojKSgYc7wHhDRuTl51FSvxpBraIQuOgY8mOozg1boRiNJK3dw9tvVwp9nEiRafmoqEmhtP7waBHpVYTVDOai6kp+HZsRcu4/RxwCSB+204URbH1rQkhhBBCCCEqKZVKRY+YMF6c+hIT2kdgp1YB8LjdH0w6/ShrZz/Ed9vOYDTJ5w4hhKhsZMDxHuDg7ExI3fqc/Xc/Wox0bFaP+PPJnPMLRuPhjiE2Fs3FC3QK9uSojx0mO3fOZQTD2W0A+IZHogIyg+sQY38B3/Qs1lwyUXD6tG1vTAghhBBCCFHpOWvteK5HLRY8UIc2Ee70Uu9CrVIoKjYx/c+j9P94K/vOZdo6TCGEEDdBBhzvEYE1aqF1cubc4YP0iInE2c2T33Yew6lxYygqJmfnP9TRORIY6MopdzUZBRHo445BbjoaOzsiGjUjMe44jt370vbMLk7be/DvP3tRjEZb35oQQgghhBCiCgj3cuS7h1sSN3A5n2pGMad4KABHkvQM/nQ7b/24gYzcQhtHKYQQojxkwPEeoVKriWzclIunT2HISqd364Ykp6ZxzNUPjacHBcePU3D0GN0CPUnw1ZLn6MK5rEiU05sA8A4OwSsomITcQmqFO1Ej+TzrjDpyDx+27Y0JIYQQQgghqgyVSkWfxhE8NPUj7m9XD83/L7NurDrB1NihrHhvDD9tj5Vl1kIIcZeTAcd7iJuPH34R1TmzfzdtogLx8PZjxb4TODSMQWVvT87ff+NTaKBJiCfHvDXoi0NIP3UeshMBiGjUlPxLl8hv1ol2F/eTZbJn+4FjmApkM2chhBBCCCGE9bg42PFSnzqsfLodzSO8mGD3J/YqIy1NB3j5j+MM/nQb/57PsnWYQgghrqFKDzjGxsbSrVs3dDodAQEBTJ06lcLCG0/BDw8PR6VSlfoxGAx3IOqbE5+ey+a4rHI/wCWsfkMK8vK4ePokQzo0IiP7Ent0vth5e2G6dImcv/6ijZcrxX5OpLg4k3CpBsaTG0FR0Do6Ed6wMYnnEwlqUYeYsyfYpPEkY8/eCr5LIYQQQgghxL2oVoArPz/aEkP/z/hSNYRXisdQhB0Hz2cz4JNtTF+6h6w8WWYthBB3myo74JiZmUnnzp0pLCzk119/5e233+bzzz9n8uTJ5Tp/yJAh7Nixw+LHwcGhgqO+eW6O9pzOyOdQor5c9e0dHAmrH0PCkX+p5etMQGA11u8/jmOHjqg0GgzHT6A6HkvHMC9O+tlzyRTExTN6yLj8gBi/8EhcvLy54BFK66LTqHMLWX8iAaO+fNcXQgghhBBCiJuhUqno36wmw6bNp1bLPvz/KmucFAPjDw7n95njWLrjGCZZZi2EEHeNKjvgOH/+fPR6PcuWLaNHjx6MGzeOmTNnMn/+fJKSkm54vr+/Py1btrT4UalUdyDym+Ol09Iq3J2/T6aRnlO+pc1+EdVxdvfg7L/7Gd6pETn5BaxNuoRz82YoJiM5mzZTFyN+QS6c9nQg8VJ1io5vApMJlUpFZJPmXMrORNu2La3OHmS3xpNzO/6p2BsVQgghhBBC3NPcHO15tX9dlk9sR5MwT8ZrVhKiTmWkspJP//ib++Zv53Bitq3DFEIIQRUecFy1ahVdu3bFy8vLXDZs2DBMJhNr1661YWTWV8vXiQgfHSsPX6DYaLphfZVKRWTjZmQkJuBNHjUiI/l731HSqtdCGxyCMTOT3I0b6VbNi2R/B9Ls/Tl/VoFz2wFwcnElpG4DEg0mGvkX452RwcpEPUUXUyr6VoUQQgghhBD3uDpBbix+rBXh/abyrWog8439OKVUY/+5LPp/vJXpvx0iO7/I1mEKIcQ9rcoOOMbGxhIdHW1R5uHhQWBgILGxsTc8f+HChTg4OODi4kLv3r05dOhQRYV621QqFZ2jfSkoMvJ3XFq5ztF5eBJYI4rT+3fzUOcG2Dm68PXKHdh17Ija2Zn8w0fwPHWSRqGenPR1INlQl5yju8xLq4Nq1sJR50J2rUZ0vPAvJ1XOHNq4BaUce2QKIYQQQgghxO1Qq1UMblmLQc99SUrT5yhZjGZSoP7eF1k68xF+++dEufe6F0IIYV12tg6gomRmZuLh4VGq3NPTk4yMjOue279/f1q0aEFoaCinT5/mrbfeom3btuzfv5/IyMhrnqfX69FfsZdhcnIyAEajEaPReGs3cgNGoxFDkQEvNfSo48fSfYmEeDgS4aO74bmB0XVJOReP/uxJxvZuxbyl6/n2n5OMbdOanDVr0G/YQKsHHuCYvxPJl0w4Zjak7oE/sWvxEDi6Ed6oKYf+WkO1Wn5EXUjk95Bq+G3YSEC3Lnfl8vPyMhqNmEymCnvP7jWST+uTnFqX5NP6JKfWdSfyKe+VEKKycne2542B9RjWNIT//n4Y58RtDNFsAQWe/8Obhfvv442B9YgOcLN1qEIIcU+psgOOt+Ojjz4y/3+7du3o3r070dHRzJo1i08//fSa582ZM4fXXnutVHl6enqFPXDmRNYJ9iTvYRCDcLJ3oqaHmmW7TzO4gS86reaG57uFhHNi726i2upo1SCKv/f8y5+6KFpXC8Z47Bj5f/5J/bYd2elhwi3Bk8PxPkQqCyioPRjUGnR+QZwxFNAuYx9L3LxZmF/M/Zu34Fi3ToXc751gMpnIzr6894taXWUnAd8xkk/rk5xal+TT+iSn1nUn8pmenl4h7QohxJ1SP9idZY+3ZukOT75fd5AGpqMsNnbAGJ9Jn4+2MqZ1OM90rYmro72tQxVCiHtClR1w9PT0NHfOr5SZmWmxr2N5BAYG0rZtW/bu3XvdepMnT2b8+PHm18nJyTRv3hxvb298fX1v6prl5eruynH9cfbl7qNf9X509/bh0r5E9qcYGRjjf8OZhj4+PhTrs8iOP8V97TqSmlPArmOnadCtLb76bIynz9CiUSNSo/w5ocoiJqkuWan7CA0+BDW64eXpyaFcPfatW9J/+zYW1+3GlvgUhtaojjY4uELuuaKVzPLw8fFBo7nxoK24Psmn9UlOrUvyaX2SU+u6E/ksKCjfg+eEEOJuplarGNqmDpkx3zBr9WFMe5JBAaNJIW37D/y8LwX/Pi/St3FkpV6RJYQQlUGVHXCMjo4utVdjdnY2ycnJpfZ2tBY3Nzfc3EpP1ddoNBX2AcFR60jnoM5sydzC9gvb6RDcgV4Nglj4z1kOJuppEnbjwdWazVpx6K81nD2wl/Hdm/FWWhYL/z7ElPadMP35O/l/baT/2DEsCnPjeBGoUurjcnQnvp5haPxqU7NZKw5vWk/1do3pvn0nK+q2JnDTDjoP7oPG1bVC7ruiqdXqCn3f7jWST+uTnFqX5NP6JKfWVdH5lPdJCFGVeOq0vHVfY4Y0y+Tl3w9zLjGJl+0X4GPS8+OydEbufZ7XB9Slpn/l/KwihBCVQZVd59SrVy/Wr19PVlaWuWzx4sWo1Wq6d+9+U20lJSWxdetWmjVrZuUob19OZgE58Qo9wnpwIvMEB1MP4u5kT9fa/myLS+ei3nDDNhycnandtiMZiedJO3mMJwa0Jb9Y4evjKTg0bkzxxYsU/fUXQ8J8uBTiTLy7C6ez6pOzby3kpuPm60dAjZokqBypX9ebVnGHWa325tDq9SjFxXcgC0IIIYQQQghhqVGoJ78/2ZYX+9Zjjao1eYoD84z92XE6nV4f/s2MVcfILZDPK0IIURGq7IDjhAkTcHV1ZeDAgaxdu5ZvvvmG5557jgkTJhAUFGSu16VLF2rUqGF+/eOPPzJq1CgWLlzIxo0b+eqrr2jfvj0ajYYpU6bY4lauS6WCzGQDhefs6RLShR3JOziTfYYof1eiA1xZdSiZwmLTDdvReXhSq3V7Eo8fwS77IkO7tSLhQhrrHHywDw4mb+8+7Hft4r7qfiSGOHJe58vJ5AgKDyyD4kLCGzZG5+nFOa9g2vhcoub5c/yS78D5zX/fgSwIIYQQQgghRGkatYrhbevS49nveSd6MecUfwCKTQortuzkh5kTWbU/Xp5mLYQQVlZlBxw9PT3ZsGEDdnZ2DBw4kOeff57x48czZ84ci3pGo5HiK2bhRUREkJSUxDPPPEP37t15/vnnadKkCTt27CAiIuJO38YN6TwcCKnvRkr8JZzSvGkR0IL1Z9eTlp9Gx1p+AGw6nlKutjz8A6jepAWn9+6iroeaxg3qsu3Iac7Wa4JGpyNnyxY8Dx2kT5Q/J4IdSLIPIy7OCVPsatQqNVEt26J1duZijRh6G0/gkpHNgnN6sg8drsgUCCGEEEIIIcR1+bg48PqIDiyZ0IrogMtLqafb/cAE4yL8lg3hoa/+4VRqjo2jFEKIqqPKDjgC1K5dm/Xr15OXl8fFixd577330Gq1FnU2bdpEfHy8+XXLli3ZuHEjqampFBUVkZqays8//0ytWrXucPTlp/PQUr2JL4knMgnKq06kRyQrTq+gSMmnd/1AYi9cYt+5zHK15RceSXDtuhzf8TeDGwXj6x/AT4fOUtymHaBwad06wuOO0z7Kj8MhTiSYojh3KBmS9qOxsyO6TQfQ2JHVqAUD0vahzzfxy+5YCpOTKzYJQgghhBBCCHEDTcO9WD6xLa/2qUmG2guTouJnY0f+jkun5wdbeG9NLPmFRluHKYQQlV6VHnC8l3j4ORPZyJeEoxnUoyluWjdWnVmFp4uGXvUC2HoyjT3xGeVqK7hOfbyCQzi5YwuPdG+Eorbn6zPZOHXpCgroV6ygUfI56tbw5t9qrpy5FE3qrm2gT8Je60Cddh0pQgNNm9Dv3G6OFTuwZt02TLm5FZwFIYQQQgghhLg+O42aMe2i6DRlAbMiv2KxsQMARUaFeRtP8uHM/7L20DlZZi2EELdBBhyrEO8gF8Lr+3DuUAYtnTpQYCxgw7kN1PBzoU+DQLafSmfn6fQbtqNSqajepDlOrm5c2L+TB7u3ICVTz7y4TLRdu6KYFPR//E7HS6kEVvfgYKAvJy5WJ2fHr5B9Hq2TM3U6dCZPbY9no+p0iP+X9YWO7Fm9AaWo6A5kQgghhBBCCCGuz8/Nkamj7+PHR1sT5e8CwEjNBp4v/vT/2Lvv+DrL8vHjn+fskXNyTvZOmmY3bdNNC6WDDopQykZEQCiKCChTAfUr+gMUgQIKIg5QhiJTVqGUVQoFune6s3dycvZ+zu+PYgRbSgtp06TX+/XKq577PON6rlSaXOe+7pviZ+byg7++S323TJoQQoivQgqOg1xMjdEb6e17nV5gI78yhab1bk60nUSTt4lP2j5heHoS80fnsHJPDx/u7PrST+s0Gi3lk6dCIoGhpZZvn3IiLd1uHtjaiWbGTBKRKL7nnuNU1Yep2M76tHy2NJXi/uA56NqJOclG5dQZeAw2ykusjG7azTNuDev+/SpqIHCYsyKEEEIIIYQQB+e44lRevWYqt55SSbGuC4BtiTxe2xFg9qJlLHpzO6GotFkLIcShkILjILfdtZ3Xml6jzl3XN5ZVnEx2iYP2DSFOdMxkTccaVrWtojDVwoIxuaxpcPH+ji8vOuoMBiqnTifg7iXF3cD3zzwJtz/M/Vs6iE47CTUUJvTMv1hgjhIeZmOLI5ctLSPpfP81aNtIkjOFiuOn4UrO4jhHL6UtzTzuM7LshdeI9/Ye3sQIIYQQQgghxEHSazVcfmIxp1z3Z+7Of5BfRb8NQCSmcv9bO7j+7od5Z0vTAEcphBCDhxQcB7nKlEpGOUfxRv0brO1Y21dEzC1zkF5gw7tZw8y0OazrXMeb9W+S5dBzxtg8Nja7eXdb55cWHY0WK5VTZ9Dd1ICmcQs/PGcGUTT8bmsbvqnTUf1+lH89zVmpGjyldtZmZLGlaxRNy5aRqP+I5IxMyo47nt6c4Uy3dzBhdy0vhsy89NKbRNrajkSKhBBCCCGEEOKgZCWbuOGyC7n7slMoTrcCUKy0sCj0M3L+OZef/vkFGnukY0sIIb6MFBwHOUVRqHZWM6dwDqvaVvF249vE1BiKolAwIgVnlhX/Zh3zMk6jI9DBiztfJNkS58yxuWxt8/DW1o4vLTpaHU5GnjQXf28vvetWcO38KehNVh6u7aBj0onEet0Y//kPvpWixVLuZGVeJpvdo9mzfD3qjrdJzclj+ITj6MoZzrjhOmbvXMP7AQN/f205/l27j1CmhBBCCCH63+LFixkzZgw1NTWMHz+e5cuXD3RIQoh+cEJpGq//8ERuOrmcOfoNGJQ4DsXHiztjzF70Hr9/ewfhmLRZCyHEF5GC4xAxLHkYZ5SeQbO3mZd3vUwgGkBRFIaNSsOZaaFlVYATDXPQKXqe2/EcGp2Hs8fmsaPDxxub21HVAxcdLfZkRp00F6PVStMn7/GDWSOwO1N5bHc3deNPIOZyEf3bY5wZbKekKo3Vw9JYHxrF9g/qiG96lczCYVRMORFXchb5I7M4o+4TtgcUHn5nLV3rNxyhLAkhhBDiSFFVlTVr1vCHP/yBn//859x44438+te/5oUXXqCzs3Ogw+s3l1xyCU8++STr1q3jF7/4BVdfffVAhySE6CcGnYYrp5fw7evu4u6c+7gp+j18WAhFVe5esp1v3/s8y2pbBzpMIYQ4KknBcQhJM6dxdtnZqAmV53Y8R1ewC0WjMGx0OsNGp9GxI0CVaxIFlkJe3PkivfEGzh6XR323n5c3tBCIxA54fZ3BQMXx08gaXkbDyg+5eEwW2Tm5PN3Qy5aaySRiMXz/fJpp61ZwYkUqm0tS+USpZvOKHiJrniMlM5PRs+ZBRj7GUSWc1/4xvZ4ID36yk4YPPvzSmZZCCCGEOPrt2rWL6667juzsbMaPH88111zDH/7wB/7xj3/w//7f/+Oss84iKyuL6dOn8+STT6Kqar/ef+fOnVxxxRXU1NSg0+morq7e73G1tbXMnj0bq9VKVlYWN910E5FI5JDvpygKbrcbALfbTW5u7teKXwhx9Ml1mLnhu9/hOxcvpDDVAoCOGL/y/YL0p+bw6z8/SUtvcICjFEKIo4sUHIcYi97C6SWnk23N5oUdL/RtJpOWZ2PE1ByiwTjOXcWMS5rEWw1vsdu3jnPG5eEPx3l8RT07O3wHvL6iKBRUj6LsuBPo2LGV+XkayoYX81Krl3eqJqPNzyfw3nuUvfA0Z+QZaCtLZVlSFetXRgl89DQmbYzqGbNJq6gmXDWCM/zrMHW6eHBTO5vfeJtEXNoShBBCiMHqu9/9LiNGjGD9+vXcdtttrFu3jlAoRGdnJ01NTfh8Pjo6OnjllVcYPXo0N910E1VVVXz44Yf9FsPmzZt59dVXKSkpoaqqar/HuFwuZs6cSSQS4fnnn+eOO+7gkUce4brrrjvk+z311FOcdtppFBQUcNNNN3Hfffd9zScQQhytppdn8MaPTuS62WXM1G+iXNNEpaaB1bvaOOme9/jDu7uIxPr3QxQhhBisdAMdgOh/Oo2OkwpOYk3HGhbXLWZy9mRGp4/GnGSg8oQcGjf30FkbZ0rBSXzSuQxXyMWZY2eyrtHLqxtaKc+yMb08HZNe+4X3SM3Lx2y3U/vBMk4waUiuLmPF5l1sNWdyzth0Ujeuxvnonzn3G6fxSkUmb+/S4F9fR0X7k2SOH09xzQTsaensNBg5ac9WPm718+dEPt949hVOnDYJY1bWEcyYEEIIIfrL5s2bGT58+Be+n5aWxrx585g3bx733nsvTz31FHV1dUyZMqVf7n/aaadx+umnA3vbnVetWrXPMQ8//DAej4cXXniBlJQUAGKxGFdeeSW33HILOTk5AEycOJHdu/ddb7qgoIA1a9YQi8X49a9/zRtvvMG4ceN4+eWXOfPMM1m/fj2KovTL8wghji4mvZZrTiqlccy1/PZfGeibPmRlogKicX7zei0vrdrJz+bXMKUsc6BDFUKIASUzHIcoRVEYlzmOuYVz+aTtE17a9RLdwW60Wg1Fo9Iorkkn1mxggncm3b4entv5DNlpPr45MZ9Ob4gnPqqnvtt/wHv0retosVAebODSmaPBaOFPHWGWVEwkbrage/qfnLHtY3LKnSwvKOPd7mo2vb4F//tPkOY0M2r2PHQjJzI2NcDE+i282hln0UvL2fb2e6jh8BHKlhBCCCH6wyOPPHLAYuP/0mq1fPvb3+aCCy7otxg0mi//8Xbx4sXMmjWrr9gIcO6556KqKkuWLOkb++STT+jq6trna82aNQCsW7eOrq4uxo0bB+wtdjY2NtLV1dVvzyOEODrlp1i48YrLqb7g1+Q5zX3j5/T+laQn5nL3X5+i3RMawAiFEGJgyQzHIa7YUcx55vNY0bKCf23/F9Wp1UzImkBqbhJWh5GdqzuoaJuMJ6eZxXsWk2fL4+RRU9jWovLi2haqc+1MLU3HoNv/D+//WdexaesmmmrXc+6wDLbml/PB5t1sTxrGfHsa+Ss+5KS6PWz/xhl8lJJLY5ONyk3NjGh8jvwJFYycPoPdTifqhtUU1X/ECkMxD8a1jK17hfmTR+CsKJdZAkIIIcQQUF9fT2Fh4UCHQW1tLZdeeunnxhwOB9nZ2dTW1h70dfLy8tizZw91dXUUFRXx4YcfYjQaSUtLO+B5Ho8Hj8fT97q1de+mE/F4nPhhWl4mHo+jquphu/6xRvLZ/wZrTmeUpzG5+AT+8N5uXln2MRdpl6BTVN7d/QYz707hhyeVcNHkQvTaIzvXZ7Dm82gmOe1fks/+dyRyeijXloLjMSDZmMzJw06m0dvI8ubl7KjdwaSsSVSmVlJ1fDaNW13E98AkZw4Nylae9T7NqLRRnD6mmndre3jio3rmjMgkz2nZ7/UVjYb8EaNIKxxGw8Z15HXu4Ntj8nijIciT7TGqh49ldkstJX99mOHHH8/q8hpWpVjY3ZLCmKV1VA77B8MnzSA54xvUb1jLlPodlNfV82HaCH79ziZO3rqHE2cch87pPMKZE0IIIUR/uuiii3jzzTcxGAx9Y+vXr2f06NFHNA6Xy4XD4dhn3Ol00tPTc9DXycrK4v777+fUU09Fq9Wi1+t5+umnv/SD0nvvvZfbbrttn/Hu7m6MRuNB3/9QqKrat7nNwcwCFQcm+ex/gz2nF452MK1wGr95/Tamdv+Lh2KnEyLOHYu38fQn9dwwPZ8x+fYjFs9gz+fRSHLavySf/e9I5LS7u/ugj5WC4zEk35bPuWXnsql7EytaV7C5ezNTc6dSWJ1NeoGN5u0ushuqyHAUsSu+ge2G7YwrnUhXTxrPrm5ieHoSE4pSyEo27ff65iQb5ZOn4unsoG79Gk6yuGkvz+bdPS72pJUzW3VT9sEHjP/oI8qnHM8HZVUs6bSxvbGViU1vUjohj7GzZ9FaV45m0wZO2bWFXfV6/h2p5JN/LOGsmiJKJo5D0clfWyGEEGIwuvTSS7nqqqt45JFHgL2tzddee+0hzSo82lx00UVcdNFFh3TOddddx8KFC/tet7a2MnHiRFJTU0lPT+/vEIH/zkhIS0tDq/3idbrFwZF89r+hkNP0dBhTciVLtpyF89VaWt17W6rzXB+T/fKNPFF8E98+Yz5pSYfng4XPGgr5PNpITvuX5LP/HYmchg9h6Tup3BxjtBoto9NHU+oo5ZO2T3hx54sMdwxncs5kSsdn4u8N07TNhaZ5Ij57Nx+HPibZlsTMEZNo6IR/rmwg32lh4rAU8pzm/X6Cb0/PYORJc+lqqEO3cR1n5yms9KbwYoeOlLxkJoZ6GPHuO8zVL6fphOl8WD6c59odjPiwiXGb/0HOyCIyZ0+nubwSzfpV5Gz7hPVKDvfHtYzf2sisMSXkVlehfGZ2hBBCCCGOfhdffDHvv/8+f/3rX4lGozzyyCMsXbr0iMfhdDr7ZgB8lsvl+ty6joeL3W7Hbt93ppNWqz2sv3RpNJrDfo9jieSz/w2VnJ4yKpfpFZn8/u2dPPr+dn6hfYxhmnbU3b9l1r0Orp9TzoXHFaI7zG3WQyWfRxPJaf+SfPa/w53TQ7muFByPURa9hen506lKreKD5g94YusTDLMPY0TqCMom5uHtCdFUa8bc6qDL08Ryz2KyHZlMqSinu1fh+TXNZNqNTBiWQnGadZ/Co6IopBcOIyU3n9bttei2bWGkzcoGt8KSHj0f5CUzOthDzVtvcKbRxJbjZ7CyuIxtriwKP+hi9CcvUVCRRtZJU2mqGIlp1QcM272CDbbh3BmE0hVbObEin5HjqtHvpyVKCCGEEEeP6upqJkyYwPjx47nwwgv5wQ9+QHFxMcuWLcNqtR7xeCoqKvaZVel2u2ltbaWiouKIxyOEGHosBh03nVzBmWPzeObpqzm78/f8X/QSvIk4v3h5C/9a1cSvFlQzrlCWjRJCDE1ScBzkYjEf0WgnicSBFyf/IhmWDBaULKDV38rm7s28uudVbAbbp4XHMiIuB021Vpyt2Xjcnaw3rkRJjlFZXEbYl8trG1pxWPSML0qhPNOGRvP5wqNWpyOvqpqM4uG01G7BVr+HGouG7QEbK11GVhuSqQz0MGbJa5xvT2LXuMlsGpbPVn82WVt7GLHxI0YUaBlz0hSaRgZJW7WC3qbd7MbJo6EEyZsamJydzAmTRmIvyJfNZYQQQoij0CuvvMLq1atZvXo1L730Eu3t7SiKwlVXXcWYMWO45pprjmg88+bN44477qC3t7dvLcdnnnkGjUbDnDlzjmgsQoihrSQjiRuvuopXNyyg49Vt4NnbjtjS2kzPn3/OorKruOiMU0k9Am3WQghxJEnBcZALhhpw9b6Mqq7EZivHai3DYEg7pMKboijkJOWQk5TD8TnHU9tTy6auTXzc+jEljhKqxlaR6yuguzmVtLZc3D0uui0t9Fi3kJmTBaEi3toa4f0dnZRkJFGaYSPXYf5c8dFgMlNUM46CkTX0tDSRuWcXlS3N1PvN1Hqy2WxKZligl6r33uH0WIiuouHUloxiqb6SD7p8lNTXM97hZ/SJE/ElTGTv2EXF1nU0+RSWuQt5s9nNSIuGGRNGUFRdjkbarYUQQoijRlFREUVFRZx11ll9Y/X19X1FyP4UCAR47bXX+u7h8Xh49tlnAZg2bRrp6elcccUV/O53v2PBggXccsstNDc3c+ONN3LFFVeQk5PTr/EIIYSiKJw6Op/pFdk88NYO/rp8Dzdpnma2dg3H7fwBc+/WcuXJY/jmxAK0GplAIYQYGqTgOMjZkqpITbFgsbgJBnfS27sKvcGJ1VpKkrUMgyH1kK5n0VsYmzmWMRljaPQ2sqlrEy/ufJEUUwrFucXkl+QyrDed7uYc2tt7cHV20WnegNGpYtEXUedysqGpF4tBt9/io0arJS2/kLT8QkI+H0V1u6jYs4s97TG2ezN4JcmJORwiv9fNsKUvM0qvoXl4JRuzy1mfyCT7Ey8lNFPhVCicOZmyGJSt30JT0w7qtGkscodIfW8d5Q4zNVUllFQWo9/PGklCCCGE6H8vvvgiCxYsOKhjCwsLKSws5Mwzz+zXGDo6OjjnnHM+N/af1++88w7Tp0/H6XTy1ltvcfXVV7NgwQJsNhsLFy7k9ttv79dYhBDis5KMOm45pZKzx+Xx4j9raerZwFOxmbTE9fz0xU38a1Ujvzq9mtH5joEOVQghvjYpOA5y8d4wShNYispwZNQQx4/Pvx2/bwe9rk8wGFKxWsswWwowGtJRlINb4FNRFArsBRTYC/BGvNT21NLgaWBV2yqMOiMFuQVkD8uhwF2Ou7mIlj0deA3dhA316K0x4sYMNneksareSrLJ0ld8zHaY0H+6OLIpKYmC6tHkV41keFsro/bspKOpid1dCq1hM3vsKehDIbIaWxi9ZTNKso22wkpWOLN4N6zDuT1MfsxDeUo2U4YXUON3s2PLRjr9CXa1Ovm4uRPdsnUMN2kZWVLAqFHl2HIype1aCCGEOEzOOussbr31Vn75y18OWAxFRUUkEokvPa6ysnJANqwRQoiyTBs3XnMtr66ez4uv7wCfCsCGpl7e/+MPeWfEmVw8fx5Oq3RtCSEGLyk4DnIJdyu6xq0E23oIG+xoUuyYnMVYHZUknGECkV34/Ntx9X6ERtFhNGZhMuVgMuViNGah0ei/9B42g40JWROYkDWBYCxIo7eRBk8DH3d/RDgWJj0/nYyCbHKCw1A85XR1eHBH3Hj0LahGN27FwsrmND7YbcOqTyLXkUSOw/zplwmLQUdKTi4pObmUxeOM6uqkt62FrpZmdtS30OQ1sTKQijbgJ2XXNiqDq0kY9AQd6bRk5bFezUDXqZATMzO80Mp4Yxyj6qerbTf1rSE6VDMvt7fx3NpaMvU6yjKSKSkpYtjwfJIy0lE0h3d3OCGEEOJYsWjRIm644QbWrl3Lk08+ud+dmAGWL1/OokWLeO65545whEIIcXRQFIVTx5dwYnUh9725g7+tqGMWK7lK9yLR2pe5aPsdLDjlFM4Zl7/POvlCCDEYSMFxkNMlazBktmJL7CDhV4m324m3ZRKJO0FnQ5eSTmp6MYoFYoYewpo2gsFGentXkgCMxgxMxhyMpiwM+lT0egeK8sUFOLPOTJmzjDJnGWpCpTPQSYO3gXpPPZsTGyAJ7CnJ2OIO8kLpqO4cgt0x/DE/vfpduDVRav1GtrTbiCUsGDQWcpMdFKbYyXGYybSbcKZl4MjMomj0WEYFA/S2t9Hb3srWbbupb++hPpRCNBhBCQex7tjE8EiEsNGEx5HBsvQMIpgxqGk4k3PItAcp04SYGOjE17mRFn+Mza2prNi+h5jRTJJWS5bFSGG6k5LyYgpLC9EnJR25b6AQQggxhFxzzTWMHj2a8847j4kTJ/LCCy9QWVkJQDwe5+mnn2bRokWsXr2akSNHDnC0Qggx8OwmPT8/rYqzx+Xxwr920OJKoTGRwYpgHiue28g/V+5ts67OTR7oUIUQ4pBIwXGwcxQQKj0NW1oauqgPnbcVPC0kPA2oXV3EOrXEW53EEg7UhAW93owhqRy7YzyqJUY02k042I5Ps4V4IoSiaNDrU9AbUjDoUzAYUve+3k8hUqNoyLRmkmnNZELWBKJqlO5gN52BTjqDnXTqW+gx9KCmJDDHrKREbDiDFqI+lZg7ghqP4KGD+p4o2xsMxLRW0BixGE2k26zkJNvJtttItaaRWpnDyWOPIx7w4u914XP1UN/Uyp76Zrp7PUR8ARRvJyk9LShAVKvHb7KyxWYnmGQnYS7FlF9GSjxCuupnWCyAzt+J2ush1BFke4OZ5Vs2E9VbsWs12HVaMh02cjLSyC7KI7swF1uKE0V7cC3pQgghxLFq2rRprFq1ijPPPJNJkybx0EMP0dTUxIMPPkhLSwsnn3wyS5YsYdasWQMdqhBCHDWqcuxUXHMN/155Mn96Yw1E9s5qXNvQywMP3cfIUeO5aP4cks1f3qEmhBBHAyk4DnIej4fm5mZisRgmkwmjOQ9DcjF6vR4toA10g7cFAj0kfD2ovR7i7gBqvYZ41ISSsKPDCrpyMGpImFTiphhxQ4SAsRmPdgtxXQDFmEBrtKLT29DpbOi0n/75mS+9xkCWNYssa1ZffJ8tQnYFu3BH3LjDHoIhL9FwHG1UR1pYixpUUP29REMQcmtoaYM6xUBMYyCumFA1ekwGA06bmVS7iRSrmbTiUYysPg4LKpqwj6inh7r6Jto7u/D1uDD6/Ni6GlHbVWKKlpDegNtopstsJmwyE3amQpoOLQr2aITkaAhLNIAu4kPxB+nyNNFWlyD6iYaw1khMa8CoNWA3GnAmWXDarKSkpZCSlUlqbjaOVAc6o3Hg/jIIIYQQR4m8vDz+/Oc/M2PGDC6++GIALr/8cq699lrKy8sHODohhDg6aTQKZ0wqZ+bIYu55cxtPfFRPaqKXu3V/wLQlws+3/ZAJ37iMM8fmyrr0Qoij3mEvONbX11NYWHi4b3PMisVi+P1+mpubiUajRKNRYO+aIAaDAYPBgNFoRK/PRmfNR+/Qo9Nq0athdHEf+qgPQ9CL4u9CEwiRCIVRO2MkohrUqA41YULFhqooJDQJEvoYCV0XUV0rIV0EVRchblBJGEAxGVCMJjQmK1q9Ca3BhMZowqSzUGQyM9xahEZjRKMxEEeLLxrCGw3iiXhwh930hnvxBL14Al4C4RChcJhIOIoaBTWsIRzU0NmmpaVZIapqUdESQ0dCMaIoJgxaE2aDmaTkQqyZpZh1YNYm0KsxIkE/RrefqLsXet0ori6UaISYAmG9gYjeSK9BT4fBSMSaQjTZQFRnQFE0KIqCXo1jikUxxcL4oxE6PS50PR0odbsBFT5dm16rgoEERsCo16HXGzCZzFgsFpJsVuzJydhTnSRnZpDkcGK2mtAYDPIDgxBCiCHj7bffZtGiRSxevJisrCzOPvtsHnvsMdra2sjNzR3o8IQQ4qiXbNHzy9OrOXd8Po8/8y8CLhMK8FZgOP98Zj3/XNnAL0+vpjJ7/+vkCiHE0eCwFxwvuugi3nzzTQyG/+6wtX79ekaPHn24bz3kJRIJrFYrhYWFpKeno9VqicfjRCIRwuHw5/6MRCL4/X5isRjRaLTvT1VVAQWwATa0Ji1aiwYtcbSJKLpEDE0sjCYSQROPoURjKNE4SiCGJqZCVEWJqxAH1ODeL3oBUJRPL61VUTQqaOKgjaNoAE0CRQeKFpK0Wmw6HXl6LRqtDq1eR1SxENIYCVlUQqgElThBRSUQUwnF4/hjYfzxMP5YBH8sTCgaIxRN4IuBKwKqW0GNa4mrGlRVSzyhIZHQoWq0qClaFIxoMKOgQUkoaBOgjSfQxgLovB40sRg6NbH3ARQtCUVDSKMjrNMS1+lQtXpUgwlVqyWuaPf+qdGhoPCf0qFWVdElVHSqitYfQuvxo21qQxOPo1VVNAkVzX/+TCTQqAk0iTgaFTQJFS0KWuIoKOgALRp0ioJWCwatFp1Oi1mnR6fToNdp0RuNGAwm9CYDJpPx09dG9CYDOpMZrcGI3qBHZzSi0+vRGU3ojAa0eh0arfawFT3j8TjhcJhwOIxWWtL7heS0f0k++5/ktH99Np9ms/mo/pBq1KhRbN68mTFjxvC3v/2N8847D51Ox4UXXsg555zDpEmTePHFFyktLR3oUIUQ4qhXnZvMndcs5PmPTmDxm2/QiROAlXUurvrdM5wxJo+LT5uJzSRt1kKIo89hLzheeumlXHXVVTzyyCMALF68mGuvvZba2trDfeshLxKJYLVaBzoMIYQQQhwhoVAI41G8fEdJSQkPPvggU6dO/dz41KlTWblyJWeccQYTJ07kySef5JRTThmgKIUQYvDQaBTOnlLJSaOHc9cb2/jnygYSiQS36/7EmE07+P3Wb1My/0bmj845qj+QEkIce754O+L9OP/88wH405/+xOrVq4lEIl96zsUXX4yqqvz1r3/lj3/8Iz/96U9ZunTpV4v2ENXW1jJ79mysVitZWVncdNNNBxVzIpHg17/+NQUFBZjNZiZPnsxHH310BCIWQgghhBi8nn/++X2Kjf+Rn5/PBx98wKmnnsr8+fO5/fbbj3B0QggxeDmtBu48cyQvXHk8M7LCDFdaMCoxdoSS+eE/1/HNP33EjnbvQIcphBB9DmmG429/+1sANm/ezBNPPMHmzZvJzc1l7NixjBkzhmuuuabv2OrqaiZMmMD48eO58MIL+cEPfkBxcTHLli07IrPyXC4XM2fOpLS0lOeff57m5mauu+46AoEAv//97w947m9+8xv+7//+j1//+teMGjWKBx98kDlz5rBu3TqKi4sPe+xCCCGEEEOR0Wjk8ccfp6amhptvvplbb711oEMSQohBpSbfwZ+vOZNnlpey6+3HeF2dAMBHu3uYf/87XD3BysWnTMOkk9mOQoiBdUgFx/z8fADuu+++vrGdO3eydu1a1q5d+7ljX3nlFVavXs3q1at56aWXaG9vR1EUrrrqqn2Kk4fDww8/jMfj4YUXXiAlJQXYu8HKlVdeyS233EJOTs5+zwuFQtx5551cf/31XHvttcDeNqCysjLuvvtuHnroocMa96EwGAyseGcTDSt2YUKDHhWtGgdiqERRtAnQgd5iQGc2oDcbMFoMGC0mjElmDFYjeosJndmIwWhGq9eh1evRaPa/3lZcjeONePFEPHjCHjwRz39fRzxE1b0b1mgUDRadBaveikVrxqRRMCkxNFEvhH0kIgHUiJdE1L/3f8diqLE4qHoScR2gR0kYUOMaomENobBKKJQgFFOIqFpiqo54QgcaHWi0aLVa9Ho9JqMJrUkLBoW4TiWiqoQjKtFwBAIBlIAHg9ePIRjCEImij4bRR8Joo1G00RiaRAzMMbDF0FijaC0xNOYoCUOCuEFLXG8gpjUR1pgJKnZCio2gNomokkQsYUKbMKJJGNBpTGh1VvQ6K2ajFaPJgc1mxWqxYjcbsZn0OMx6zEYdRq1myLc+xONxOjs7+9YZFV+f5LR/ST77n+S0f302n59dE/to9Ic//IFLL730S9u+r7/+empqagDYuHEjnZ2dzJw58whEKIQQg59Wo3D+iaPoGnsnvYtreWZ1EwCXKK9y6brn+Nums8k59aeMz5J/g4UQA+drr+FYUlJCSUkJ55xzzufGi4qKKCoq4qyzzuobq6+v7ytCHm6LFy9m1qxZfcVGgHPPPZcrrriCJUuWcMkll+z3vA8//BCPx8O5557bN2YwGDjzzDN5/vnnD3fYh0RRFPIyDMRzI6RkpmFyJGGwWzDZkjBYLBjNFvSmQ19cPpFI4I/66Qx20hXs6vvyRXwkSKDX6LEb7NiNdlJtqRQbi7HpbVi0CrpEEDXSi9/dhN/TTNDTTjjkJRaKosaMKJgxGB3o9VkomEloDcRVHb5ImF6Pn0AsRjSuEk1APAEJRUGn02N2mkm320l2OLHZ7RjMBuKGOGFNmG6fm7aObno6etG6XOh9QSzBEElBHymhAPpQEF14b1ERnZZEkg4cCXCG0SYF0ZkC6IwhEro4Ua2JUMKBT3XiJwW3kkYAJ9GEHZ2ahFabjNXqJNlmJ8tqwWkxkGo1kG41Yk8yYtEN/QLioYrH4xiNRoxGoxQe+onktH9JPvuf5LR/fTafR/u/MY899hi33XYb3/zmNznnnHOYMGECev2+mxm0tLRQV1fHrFmz+Pjjj3nssceOfLBCCDHIpSUZ+e05ozlvQj6/eHE933ItxaREsYfbuPrp9UwssHH7mRZKs5IHOlQhxDHoKxUcX3zxRRYsWHDI5xUWFlJYWMiZZ575VW57SGpra7n00ks/N+ZwOMjOzj7ghjX/ea+iouJz45WVlTQ0NBAMBjGbzf0f8FeUXV6MLsX2tWaR+CI+2vxtnyswBmNBDFoDqaZU0i3pDEsehsPowG6wY9aZAZVwuINQsJneng309uykPdBLNBwlHtKhJKwYTelYksbgTM9Bg4VYJEw4EKC3u5uu1l584SDhRJCImiCOgtFkwp6STrbDiT05GYfDgdPpJMmWRG+0l0ZvE3XtTWxu24O3J4i2V8XuC2MOeEkKunD63egDIXRRFXRaSDJDWhKadBukutFautFrutDGAxBLEFEtBOKpdDGcTk0BPUoOkXgmBk0yBoOOVEcyhTYTWTYzuU4TaXYzVv3h281ZCCGEGOw+/vhjXnjhBe6//34eeOAB9Ho9ZWVlpKenYzQa6e3tZc+ePXR0dJCSksLFF1/ME088QVZW1kCHLoQQg9b4ohRevHoaT7//HPF37mJR7DQAPmnwcsrvPuAHkzP47pwaLIbDvmesEEL0+Ur/xTnrrLO49dZb+eUvf9nf8fQbl8uFw+HYZ9zpdNLT03PA84xGIyaTaZ/zEokELpfrCwuOHo8Hj8fT97q1tRXYOzMhHo9/haf4cvF4HFVVD+n6UTVKq7+VJm8Tjd5GekI9mHVm0s3ppJpTKXOUkW5Ox26w9xXXVDVCONyG372Ttt5deHt3E/J5iPgVEhEbFmsBjpSpJOXmYkl2gBrH291Nb3srDVt20esPEQRC8QSxRAKtVkeSM43c1FTS0tLIysrC4XCg0+lIJBJ0Bbto8bewvnUT9atbCLcnSOrSkxL0kx7vJSfQjc7vQxsIo00AdhsU5WEotGNM9aAxtxGJ9ZAI7EYb9qONQNjvpJORNOqr6NAUENKkYdIYsBrMpNtMVDjNFKdbybQb8fe6SEtL26eIq6pq/33zjhFf5e+oODDJaf+SfPY/yWn/OhL57M9rn3HGGZxxxhns2bOHt956i1WrVtHa2kooFKKwsJA5c+Zw/PHHM3369P3OfhRCCHHodFoN35peQ8e4v7L2tVpeWNsMQLm6i4Urv8Pf151N8ek/ZnZ1vkygEEIcEV+p4Lho0SJuuOEG1q5dy5NPPondbt/vccuXL2fRokU899xzXyvIweLee+/ltttu22e8u7v7S9cy+qpUVcXtdgOg0ex/0/FEIkFvpJeWQAstwRY6gh0AZJozybHkMDZtLMn65P/+wxOFSDRCh9pMOFJP0L8Dr2s7kUCAiE9HPGzGYMghyTGRjLwcrM5U1HgMb2cHjTu24e3uJBAMEtHoCagJwvEEGp0Oe3IyeU4nqampOBwOTCZT3z1DsRAf131Mk6+Zxu4Wgl0q5l4nKR4t+bEg+ngbWlcXWn8IBS2JZCcUl2AoSCYpI4DO1Io/tIuYv52oN4C+G0xhM24llyb9aHbqR+PVOrCqBpxGHZVWPTnJejIcRlJNOjR9/+iG8PcGvjSn4uAdzN9RcWgkp/1L8tn/JKf960jks7u7u9+vOWzYMBYuXMjChQv7/dpCCCH2L8NmYtF5NZw7LpdbX9jADZ5nSFJCnBx5k7lPzmJyeRu3zR9BYerh38hVCHFs+0oFx2uuuYbRo0dz3nnnMXHiRF544QUqKyuBvZ+QP/300yxatIjVq1czcuTIfg34YDmdzr4fzj/L5XJ9bl3H/Z0XDocJhUKfm+XocrlQFAWn0/mF51533XWf+6G6tbWViRMnkpqaSnp6+ld8kgP7z4yE/c3G80Q81PbUsq1nG76oj1RzKkXpRZxoO5EsaxY6zb7fflWNEAjsxufbhqtzC0G3n5DLiF5bQkZGJY7SbOwZmRhMZuKxGK6WJjp2baO3vY2IRktYo8OrGIgYdej0erJSUykoKCAnJweLxfK5T9PiapwGbwO1PdvY3rwTtcVCUnc6hYFCknWdEN2D2tOB1htG0RrRlo0kuboQR3YURd9ONNaDN7AZn7sRbW8v5oAGXTSFDut0ttomsMeeTjxqIDmuodBmpCLbTkmunQyz4YCf6h0op+LQST77n+S0f0k++5/ktH8diXyGw+F+vV4kEuGVV16hpqaG4uLifr22EEKILzdxWAp/v6CKt7bcw7PL7+CV2DjCGHh3WyezFy3jihOHceWMUkx6+XdaCHF4fOVFHKZNm8aqVas488wzmTRpEg899BBNTU08+OCDtLS0cPLJJ7NkyRJmzZrVn/EetIqKin3WanS73bS2tu6zPuP/ngewbds2Ro8e3TdeW1tLQUHBAddvtNvt+53tqdVqD+svXBqNpu8ecTXOHvcetvZspcnbRKo5lfHZ4xmWPAyrfv+fYqlq9NMi43bcrloCvT6CPTqIppGWNZ3SySUkp2egaDQkEgm83V201G6mq6GeqKoSNVno1hgIR2MYDApZefkUFhaSmZm5T74SiQTtgXa2u7ZT27ENT1sYW2sOue5y0nX1xNXVRN2d4I2gSejRD68ibdxI0vMjhBO7icd24A134umqI+HrxuSHrJAZn/kEatPnsDGRhj6gxRGBaoeZ8uF2inMcpJkPrWXrszkVX5/ks/9JTvuX5LP/SU771+HOZ39f12AwcMEFF/D6669LwVEIIQaITqtw4cyxdE78B+++ugU27F3yS4mFmLf8HP6ycgaVC25i5oi8AY5UCDEUfa1VY/Py8vjzn//MjBkzuPjiiwG4/PLLufbaaykvL++XAL+qefPmcccdd9Db29u3luMzzzyDRqNhzpw5X3jelClTsNvtPPPMM30Fx2g0yvPPP88pp5xyJEL/SlwhF9t7t7PNtY14Ik6po5Szys4iw5LxhefE42E83g24uj/B5+oh1KMn4rXiSK0hd8RwUnLz0X26tlIkGKCjfg+ddbsJeDwYkp0ELHY63R7iHj+ZmZmfWxT+fwVjQTZ1bWJbz3Y6urpIas/A0j6cvHgCm2kbgdguwk1ulJgOfWEZ6bPHk1NiI6bdRTCwkUBMpaNnM6HeRox+ldSACatmOK3Zc3jTXEGjV0+qN86oZDNVo1IpzkzCaZR1oYQQQoiBUlFRQUNDw0CHIYQQx7ysZBO/v2As35zYxc//vYlv9DxPpaaBssjfOeWJSp6qmMD/nVZFfoploEMVQgwhX7ng+Pbbb7No0SIWL15MVlYWZ599No899hhtbW3k5ub2Z4xfyRVXXMHvfvc7FixYwC233EJzczM33ngjV1xxBTk5OX3HnXTSSdTX17Nz504ATCYTN998M7/4xS9IT09n5MiRPPTQQ3R3d3PDDTcM1ON8oVZ/K0ubl+JTfOTYcjgu+zhKHCXotV9cbIvHg7jda+ntXYuvuxdfiwWjoZqcwlLSCoswWZP6jo2EgjRt2UT77p0YLBYUu5OQzkRzz94W84KCAkpLS0lJSdlvm3IkHmF953rWtK4l1qUluSWPYZ4yHAYXlqRN9HY04GvwgsaK4/jTKJ9cg2LpwOvZiD8aIBHV0ubaSqh7D0keDcPD6ejSJ7G15Dg+DjoJ9MZI96gcn2Fl5Pg0hidbZBFkIYQQ4ihw55138sMf/pCqqirGjx8/0OEIIcQx7/iSNBb/8ESefNvC88s7casmtiUK2La1nfd3dHLVjBK+O60Yo066E4QQX99XKjiOGjWKzZs3M2bMGP72t79x3nnnodPpuPDCCznnnHOYNGkSL774IqWlpf0d70FzOp289dZbXH311SxYsACbzcbChQu5/fbbP3dcPB4nFot9buzHP/4xiUSCu+++m87OTmpqanjjjTeO2pagVEMq3yj+BunWA68TGYv5cLvX4HZvINAbwNtswqCtorSmhrT8QpTPLEQfi0Zp2baV1h216C1WzAXDae3uxtPcitFopLy8nOLiYmw2237vFVWjbOraxOq21YS7E6TsKcHmd5LuaEWbspzu1haCu/ygsZE69VQqTxhPhK24vS+jjVlIoKO1ZxP+7j0keXSUhLJRcqfzUfbxbHBpMDZGSFejFOUlU12SRl6Sab9xCCGEEGJg3HTTTXR3dzNp0iRSU1PJzMz83IeCiqKwfv36AYxQCCGOPQadhu/MmUjzxKe5/eVNsHnvhqLhmErSO7fyyMd5jDrzRqZVZA9wpEKIwe4rFRxLSkp48MEHmTp16ufGp06dysqVKznjjDOYOHEiTz755IC2IVdWVrJ06dIDHvPuu+/uM6YoCjfffDM333zzYYqs/2Rbs9Gl60gxffFGONGoB7d7NR7PJsJeFW+zEeLFFFWOJLO4BI3mv59gqfE47bt30rhlI1qdjuRhpTR2duGqqyMpKYkxY8ZQUFDwuQ11PiumxtjavZVV7asIeWOkNhRj7kwlPbkTXcpSulo7UbtCoLWResJ0RpwwBVXfjKvnJRTFiE6fQWPHO/i660hyGygLZePIHsvKwlm812XAtiNEiU5HYXEa1UUppJukbVoIIYQ4Go0bN05mNgohxFEq12HmoW9P4N1tHfzipc2k9qzlO7o3IAI/flzDPyu/yc9OrSLH8cV7GAghxIF8pYLj888//4Xv5efn88EHH7Bw4ULmz5/Pbbfdxq233vqVAxRfXSKRwONZS3fPh8QCWjyNFmIhG3nlVWSXlqPV6T93bFdjPY2b1hOPxUgvKaM7GGbzrt3odDrGjBlDUVERev3+C3xqQmVbzzZWta/CHwiS0T6c9IYULMYEmblraWnaTqQ5AAYnGVOmUzV1CjpLhK7uJUQ9PZhMedS3LaG3exfWXgtlwVyy0svZM242/w6m0rPHR1EowvDKDMYVpWKTaf5CCCHEUe2xxx4b6BCEEEJ8ienlGbz+o1SeXGri5RXHU04dz8WnEtvUxrvbOrnmpFIuO2EYBp3myy8mhBCf8bU2jfkiRqORxx9/nJqaGm6++WYpOA6AaNRDZ9cS/N5mvI1JhN1WckoqyKmoRG/4/KYunq5O9qxdScjnI6ukjKg5ia3btxMIBMjJyaG6unq/u2//hzvsZkn9Enr8LrI8xaTtTEdRtRQUdeHv/Zj6rV2obg2p46czevYMjDYzLteHeFo2YjEPI6aNs2Xno2i6VEp9BeQ68/DVzOQl/XA2N3nI6HJTnWpl0pRs8q3SOi2EEEIIIYQQ/cWk13LZvMk0TnqWX/97NbFtHgCC0ThrlzzOH1YEmHDW9UwpyxzgSIUQg8lhKTj+x/XXX09NTc3hvIX4H4lEAp9vC93dy4gGdHRvc5KcXkD1vIkYzJZ9jm3dUUv9hnVkDCsma+QYdu7aTfuO3ZhMJsaNG0dhYSEazRd/mrXTtZN3Gt/BEnAyfM9xRN2Qnq3FaVxFff0ugs1BMKVRfcEpFIwcgd+/jabm5Wg0RhyO46hvfYmO1rWkdDspIwvLhLl87KxheVsAXWsPZTEoqMnmuLwU9BrZDEYIIYQYTB5//HH++Mc/sn37dkKh0D7vezyeAYhKCCHE/uSnWHjwO1M5c2s7v3h5Mz09PfxS/xhZYRd/+/tu/jHiVm49pZKsZJkEIoT4coe14Ah7d4EWR0Ys5qer6y0CgQbC3Wm46lUKR44hp6xin52bY9Eou1Z9RG9bK0VjJ9ATDLN11Wri8Tj5+flUVlaSlJT0BXfau1bjhy0fsqlzE/meCrRb0zAkGygf1UVn4wds3+Ml2pUguXgk4xechtGuo639ecLhdhzJ44lE3WzacT+hLj9FPfkMSy+iddTZPB2y0bW9l9yuCNZsK5NHZpNrMX5hHEIIIYQ4Oj3xxBNcfvnlXHLJJXz44YdceumlxONxXn75ZRwOBxdddNFAhyiEEGI/TqrM5PiSNB57cxVrPipnFiv5e3wOu9a38PbWdq6dXcbFU4rQa6XNWgjxxQ57wVEcGX7/Tlyud0nEzXj2ZBELaqmefgL2tH13rvb3uti2YjkajYbhU05k6/YddHd3Y7VaqaioIDc394CzGl0hF0vqlhAMh6jsmExwj5bsfB0pxo/ZsbWeYGccNWKmdPY0KqZOIRLtprnlOQx6Jxnp82hsfYGGlmUYux2MDg0nvWQEm0pO5ZXmIKktPQxHIXdCDsdlO9DJrEYhhBBiULrnnnv42c9+xk9+8hMeeeQRrrzySsaOHYvX62XOnDkH/GBTCCHEwDLptVxxyiTqJj7Prc8vZdfuvaUDfyTOn19dju/DvzD57B8xafi+v28KIQRIwXHQi6thPJ5l+P2t6NThtG32k5yayogTJqM37jvVvaNuN7vXrCQ1N5/UkjLWrd+A2+2moKCAyspKLBbLfu7yX9t6trGsaRnpmiyyd48i0BmjuFwh0r2Y2sYgwU4FqyOL8RfOx5mXSyCwh46OxVgsw9HpbGzcfhe9XW2k9xRTqbVgGnMiH6RN5L06F3nNQWz5dqZUZZJtMhyulAkhhBDiCNixYwfHH388Wq0WrVbb1z5ts9n48Y9/zI9+9COuu+66AY5SCCHEgRSlWbnr8vnM2tLOL1/eQnNvkJ/qn+TU4Ee899gyrh3xADd/o5IMm7RZCyE+TwqOg1wgsItItAO9p5KOum7yR4wkt2LEPi3UajzOnnWr6KjbzbCa8ShJdlatXkMwGKS0tJSqqqoDzmqMxqO83/w+213bGaEbQ3y9nXBIpbJGoafuNVobfUR9BgpqxjDq5NnojEY8ng10db+HI3k8wVA7m3b9mWi3iTLvKAqcJpTRp7FYm8/63T0Ut4SwV6QwtyxL1moUQgghhoDk5GTC4TAAubm5bNmyhenTpwMQj8fp7u4ewOiEEEIcLEVRmDsii6mlafzhra0YVsQBWKqO5YV1LSzd2sF1c8r49nGF6KTNWgjxKSk4DnJ6pQDX9lSMWi8jpp2EPT1jn2NCPh/bVrxPLBKmesZsev1BNq1ZQzwep6KigtLS0gMWG/1RPy/veplYPMYkdQbdK+Po9Aqjxido2vIy7S1hVL+JsQtOI3/0SBKJBN09y/G415KWdhI+3za27Pobhq4caiKZOAoyiIw8i3/7tNTv6qakI4xtZBpzitPRKlJsFEIIIYaC8ePHs2HDBubOncv8+fO57bbbUFUVvV7Pr3/9a4477riBDlEIIcQhsBh0XD9vJLvGv8jtTz/Jk005AHjDMX758iYaP3yWb5zzHcYVpQ1wpEKIo4EUHAe5QG8vWp2JUTPnYLJa933f42bTO29iS0mlcup06hub2LlzJ4lEgsrKSoqLi/eZDflZwViQl3e9jAEDVa7jaNvuJ8lppKIywK41r9DZmUD1G6k5cz551SNQ1SidXW8SDDaSmXk6ve41bNn9OMbODMbEnSSNGIm35GSe6/ThbnBR0hXBXpPJzIIUNFJsFEIIIYaMm2++mfr6egB++ctfUl9fz49+9CNUVWXChAn88Y9/HOAIhRBCfBXD05O45QffpWZjG796ZQttnhBna5fxc/8jrPrrv/hp1QNce+pYUpNk808hjmVScBzkUnLzGKY3oDftu2ZGOOBny7K3cWRmMXzCZLZu3UpjYyOKolBVVUVhYeEBrx2JR3hl9ysQ15DXNIq2Zj+puUmUDutm6yeL6fYYiHtijDljb7ExHg/Q3v4Ksbif7Kwz6e5ZztY9T6DryKQmlkpSzYl0FkznudYeaPRR4I6SMj6baTmOAxY9hRBCCDE47Nmzh2HDhgFw3HHH9c1idDgc/Pvf/yYcDhMOh7Hb7QMZphBCiK9JURS+MSqb6eXpPPDWDkpW7P0QqTdh5Yl1PbxU+y43nlzBBRML0MqSWUIck2SBhSFgf8W6aDjElvffwWyzU1gznvXr19PY2IhOp2PUqFFfWmyMqlFe3f0q0ViM4pYxuBpD5JY5KC1uZfPHr9EdsBLviVMz/1TyqkcQjbpoafkXCRLkZJ9Nd/f7bN3zFEpHJmOiGdhGjKcu90Seau7CXO8j0xcja6IUG4UQQoihZPjw4Zxwwgk89NBDdHV17fO+0WiUYqMQQgwhVqOOm0+pZPRVT3JXyi/4RexiADyhGD97cRM/fOBJ1je4BjZIIcSAkILjEBSPRdm6/D20Wh3DJ05h3fr1dHZ2YjAYGDVqFDk5OQc+X43zRt0b+CN+Kl0TcdWFya9wUpC+i40fLaU3mkK8I0zNqaeQP3ok8XiQ1rYX0etTyMyYT3vHEmob/gldGYyNZGEvLaehaC7PNXeTU+cnKRSnYFIuUzKl2CiEEEIMJffffz+JRIKrrrqKnJwcvvGNb/DUU08RCAQGOjQhhBCHUVmmjRuv/hE3njeHdNveVup8pZ27XT8i9OeT+c0/38TljwxwlEKII0kKjkOMqsbZvmI5sUiEiuOnsW37drq7uzEajdTU1JCZmXng8xMqSxuW0h3spiZ6PF3bQqTlJ5Fj28T6j5fhTmQSa/Ey+hsnk18zikRCpaPjNbQaE2lps2lvf5VtDc8Q78xgTDiP5GF5uCsW8O9WFzn1flChbHIe41NtRygjQgghhDhSrr76aj744AP27NnDbbfdRmNjIxdeeCGZmZlceOGFvPbaa8Tj8YEOUwghxGGgKAqn1+Ty9vXTuPT4YZyp/QCTEqVEaebJdT3MvOdd/vlJA6qaGOhQhRBHgBQch5BEIsGuVR/j73VRdeIMmtvaaG5uxmAwUFNTQ2pq6pee/17jezT7mpmsn0HHhiBWp5HiwlY2rl+FV5dHvKGHUfPmUDBmNAA9Pe8TifaQnj6Xjo5X2NH0PLGuNMaEhuHMdRAbeS4vdvnRNfnRJRKMPC6XUcn7bm4jhBBCiKGjsLCQm2++mQ0bNrBhwwauueYaVqxYwamnnkp2djY/+MEP+OCDDwY6TCGEEIeBzaTn56dVcfKV93K341Z+Gr0UD0m4AlF+8vxGLn7wdTY19Q50mEKIw0wKjkNI/Ya19LQ0Uzl1Br5giB07dqDRaKiqqsLhcBzw3EQiwYctH7LLvYsTbbNoWxNEq9dSOVrHrnXv4FMdxHa3M+rk2RSOGwOA17sFj2cDGemn0NW9jO3N/ybU6aAmVE5qlhZqzuMNT4zeVh+5nhjDxuZQabMcgUwIIYQQ4mhRXV3N7bffzq5du1ixYgXz58/n4YcfZtq0aQMd2iG55ZZbGDZsGIqisHPnzoN+TwghjlWVOclc/8MbOems75JqNQCgQeWmzp/Q+8gp3P/PV3EHogMcpRDicJGC4xDRsn0rbTu3U3n8NBSDkc2bNxOPxykoKCA7O/tLz1/VvorN3ZuZkTabjjUR4lGV8vEpdG19mR6/nkijh5FzT6Jw/FgAQuE2urreJjV1OpFoDzubniPYmURNuIa01DBKzfmsjhrZ1u5heGsQpSqF8alJhzsNQgghhDgKxWIxXnnlFR544AH++c9/kkgkqK6uHuiwDsmpp57KsmXL9rvx3oHeE0KIY5miKJw9Lo+3b5jORZMLmatdxUhNHSdoNvPJho3MvOddnlnVKG3WQgxBUnAcAlzNjTRsWk/Z5BOwOFPYuHEjwWAQp9NJWVnZl27Msrl7M6vbV3NS9mxc6xKEvFEKR6ah7XmP+s4A/h6FgtGjKJowHoBYzEd7+yvYbFWYzXnsbnwcX0+EEaHxZDh60NScTb3OybttvZQ0BvHlWJk1LF02iBFCCCGOMe+++y7f+973yMrKYv78+axYsYIf/vCHbNy4kXXr1n2ta+/cuZMrrriCmpoadDrdFxYwa2trmT17NlarlaysLG666SYikUPfuGDKlCnk5+cf8ntCCCEg2aznl6dX84PvX8tvbT/h0dhcPlBH0u2PcOOzGzj/4eVsaXYPdJhCiH6kG+gAxNfjam2haeM6qk+YhjM7l82bN+N2uzEajVRXV6PTHfhb7A67+bD5Q47POoHAJh3uTi9ZxQ6yHPWsXlZLMJyC3awwau4sAFQ1RkfHa+h1yaSknEB9499p79pBjns8eckdaEaegTspj5ebuihoDRIyaDihOguLVmrbQgghxLFg9erVPPXUU/zrX/+ipaWFtLQ0zj//fC644AKmTJnSb/fZvHkzr776KpMmTUJVVVRV3ecYl8vFzJkzKS0t5fnnn6e5uZnrrruOQCDA73//+36LRQghxMGpznNQde1P+NeqRpyv1+L6tKV6essjdP2xjt+NvJWLTzsJu0k/wJEKIb4uKTgOcmabjZyqkWQMG05DQwNtbW1oNBrKy8tJSjpwC3MikeDdxnfJtGSi251CW7MbZ5aV0ioNm5csIajJQOl0Mebb30RrNJJIJOjufpdYzEtOzvm4XJ9Q3/YWBlcx5fo4morZRNMqeKGli6TOEGZflLTjcsk3G49MMoQQQggxoMrKyti1axdWq5XTTz+dCy64gDlz5qDVavv9Xqeddhqnn346AJdccgmrVq3a55iHH34Yj8fDCy+8QEpKCrC3vfvKK6/klltuIScnB4CJEyeye/fufc4vKChgzZo1/R67EEIcyzQahfMnFjB3RBZ3vbGN5StXsVD7KgYlztb1f+ek7TpuPaWS02typEtOiEFMpp0NcqYkG6kFRfT09LBr1y4URSEnJ+eg1m3c0rOFjkAHpaHRdNR5sdgNVExIo/njZ+lRbfha/RRPGk9KYQEAXu9GfL5aMjNPJRp1UdfyLIFeHVXRXEx5+STyJrKk202wN0R+S5BYZSqTUm2HOwVCCCGEOEpUVFTw5JNP0t7ezuOPP868efMOS7ERQKP58h9jFy9ezKxZs/qKjQDnnnsuqqqyZMmSvrFPPvmErq6ufb6k2CiEEIeP02rgzjNH8rvvL+B3th+xUS3igdiZdHrD/OjpdZz/yEdsb/cOdJhCiK9IZjgOAeFwmLq6OhRFwWq1HtS6jd6IlxUtKxibPJ6uj8NoNAplE7MI73qDuq4g3nAaqbY4FdNPBCAYbKar+z3S02ej0yWzp+5hOnqayPdMIcMeRKm4gFW+ENt7/IyrC9KQb+WMwlQ08omUEEIIccx46aWXBjqEz6mtreXSSy/93JjD4SA7O5va2toBigo8Hg8ej6fvdWtrKwDxeJx4PH5Y7hmPx1FV9bBd/1gj+ex/ktP+NZjyOTLXTtUPb+HpTy5Et3QnBPe2WSv1y2l88BaWjL6Fi+adiNU4sOWLwZTTwUDy2f+ORE4P5dpScBzk4vE4O3fuRKvVotFoGDFixJeu2/ifVuo0Uxqmpgxc/l7KJ2VjjW5n5datRC0lGBrrGXvpxWj0euLxIB0dr5JsryHJWk57x6s0dq/E6Kqg1BhDUzKZep2T91p6GNsSpsWiYWpVJlbd4ZnRIIQQQghxMFwuFw6HY59xp9NJT0/PIV3rpptu4qmnnqKtrY2pU6dSVFTEihUrvvS9/bn33nu57bbb9hnv7u7GaDw8S9GoqorbvXdDhoOZHSoOTPLZ/ySn/Wsw5nP2cAvjsyt56INmFm9u55e6RynTNJOy/iectOUOfjgtn5NKnQPWZj0Yc3o0k3z2vyOR0+7u7oM+VgqOg1xHRwehUAiTyURVVdWXrtsIUNtTS6u/lTnJp7J7t5vkDAvZuTE2v/E60eRCfFubGT31BGxZmQC4XB+h1VpISTken28rje1vEHCZGK8WYMyIES84niVtbkq6IwSCUfImZlMo6zYKIYQQYgi56667uOuuuw75vf257rrrWLhwYd/r1tZWJk6cSGpqKunp6V871v35z4yEtLS0w9bmfiyRfPY/yWn/Gqz5TAfuK8zh23XdvPzs2VwUeJT/F/0WnZEYP31tD6+XePi/UyspTv/y33v722DN6dFK8tn/jkROw+HwQR8rBcdB7j9/kbKyssjKyvrS430RHx+0fMDE9Il0rY0AMGykg5YVT9KrJNPToZKVkU7x8ccBEIl04/FuIitzPrGYh+bWF+lwdVDgm016UjtK+fmsC8QI9IRIbg3SOdLJPFm3UQghhBBHAafT2fdJ/2e5XK7Pret4pNntdux2+z7jWq32sP7SpdFoDvs9jiWSz/4nOe1fgzmfE4dnMPaGX/DPDy9g+9J6CMcAWL+zkfUP3cFb467lonlTsRiObEljMOf0aCT57H+HO6eHcl2ZtzrIdXd3o9PpKC0t/dKp5YlEgvea3iPVlIqzJw93V5CMQhv63hXs7goSNBVg6e5k7Omnonw6/banZzkWcyFmcx7tHa/R3LsFS+9IysxBNPkjCTqG8WGPl/zWII25Zk4uSJN1G4UQQghxVKioqNhnrUa3201raysVFRUDFJUQQoiDodNquHBqBW/fMJ0zx+QCcJ3uGc7WvMf5a77F/Hve4I3NbSQSiQGOVAixP1JwHOSysrKorKw8qCrzdtd2mrxNHOc4nqatLvRGLYWlRnZtXocmbTihTbVUz5qJKcUJQCBQTyDYQErKCbhcH9PS9SFBVxIjKMGQFIOSk1jR60PrCqOLqYwrT8cm6zYKIYQQ4igxb948li5dSm9vb9/YM888g0ajYc6cOQMXmBBCiIOWbjNy73k1PP3d43DZSnElkvhbfA473fC9x1fzncdWUt/tH+gwhRD/QwqOQ8DBFBsD0QDLm5czMWsiru0xIqEYeeVOIs3LccVNdOzpJq+ogNyxNQAkEio9Pe9jt48EErR1vEF7bw9F/mmkWupRSk/CpRhZ6/JR1BYiVGinIsl8eB9UCCGEEOJTgUCAZ599lmeffZb6+no8Hk/f687OTgCuuOIKbDYbCxYsYMmSJTz66KPceOONXHHFFeTk5AzwEwghhDgUk4pTufqGX/HKtJf5u+aMvvF3t3Xy5H0/5pFX3icUlR2PhThaDOmC48svv8zo0aMxmUyUlZXx6KOPfuk5dXV1KIqyz9dxxx13BCI+PBKJBMualuEwOsiLDqezwYvFbiC3IMGe7VsIx2wk+/2MPnVeX1u217uJWNyP0zEJl+sjmnu3Ye8dS6k1iDY9H7JG8l6Pl9TeKGES1AxLkVZqIYQQQhwxHR0dnHPOOZxzzjm8++67NDY29r3evHkzsHcNx7feegudTseCBQv4yU9+wsKFC7n33nsHOHohhBBfhV6r4dszx/Lq9XM5dVQ2ANM167hF+zjfWnkW37vn77y1tX2AoxRCwBDeNGb58uWcccYZLFy4kPvuu4+3336byy67DJvNxtlnn/2l599xxx3MmDGj77XNNng3QtnVu4s6Tx1nFZ9Nw3IXAPlVqbi3vYE7YSXY7qVi+lT0nz5jPB7G5foIp2Mi8XiQpo4lhN1manQVGIxboGwhjeEoO9wBxrWG6C6xU2o1DeQjCiGEEOIYU1RUdFDrdlVWVrJ06dIjEJEQQogjJSvZxO8vGMs3J3bxzrOrcQct7Elks6w3jff+topZlZn832lV5KdYBjpUIY5ZQ7bg+Ktf/YpJkybx8MMPAzBjxgx27drFz3/+84MqOJaWlg7qWY3/EVWjvN/8PhOyJhBoUPC5QySnm8lMC7L64x1EErkk630UjRndd06veyUajRG7fRQdHa/T7Wkh0z+dlOTtKMNOIGF28l5rD0W9MVxGhfGFqV+6YY0QQgghhBBCCNGfji9JY8INP+Wpt+fxz/c3kfi0iXPp1naiO9/hxCkn8K1ZEzHpZa8BIY60IdlSHQ6HeeeddzjnnHM+N37++eezdetW6urqBiawAVDbXYuCQqmxkpbtLjQahcLqVDo3vYVP6yDQ7qFo0gQ0BgMA0agbj3stKSknEI26ael8m5jXynCdAa3NBvmTqPWH6PSGyGoNkhhmp8hsGOCnFEIIIYQQQghxLDLoNFwyZwJ/uf585lVnAeDEw32a+zj3ozP4xd338t72zgGOUohjz5AsOO7atYtoNEpFRcXnxisrKwGora390mt8//vfR6vVkpGRweWXX05PT89hifVwUhMq6zvXMzJtJE2be4lGVNILbNiN3dTV1RHRpGJPJBg2fkzfOT09yzGZcrBYinG5PqbL20y6bwQOXRuUzyOKhmUuL2U9MVqsWiblp8jsRiGEEEIIIYQQAyrXYeYPF47jb5dOZKajAx1xdMRZ5s7g4r9+whWPr6a5NzjQYQpxzBiSLdUu1951Ch0Ox+fGnU4nwAGLh0ajke9///vMnTsXh8PBxx9/zO23386qVav45JNP0Ov1X3iux+PB4/H0vW5tbQUgHo8Tjx+e3bLi8Tiqqu73+jt7dxKIBsgI5FPX7EKn15BX4aBtzVME9an4mrqoHjcGdDri8TihUDM+3w6yc84nFO6itfNtwh49RYqVRFY28aRsVvZ6ifgiJLcHCI10kqPXHrZnGygHyqk4dJLP/ic57V+Sz/4nOe1fRyKf8r0SQggxVEwrS+e4G67iiTcnsvLDt2ghDYDXN7exbftWLppayrdmTsCgG5Lzr4Q4agyagqPb7e4r4B1IcXHx17pPdnY2Dz30UN/radOmMWLECE499VReeOEFzj333C8899577+W2227bZ7y7uxuj0fi14voiqqridrsB0Gj++x/MRCLB+03vk23MZveadkKBOBnFVvxtG9ixu45eczkGXyP2ogI6OztJJBK4ehej0+XicYPbvZRWVx223jGYtM30WMbga2/n7Z4AY1rCbDcmGGeI09k59Kamf1FOxVcj+ex/ktP+Jfnsf5LT/nUk8tnd3X1YriuEEEIMBKNOy2XzJjNn0mhiL29h6dZ2IMEv+CNjPtjJPWsu58Szr+H4krSBDlWIIWvQFByfeeYZLr/88i89buvWrX0zGf/zw/l//GfmY0pKyiHd+5RTTsFqtbJ69eoDFhyvu+46Fi5c2Pe6tbWViRMnkpqaSnp6+iHd82D9Z0ZCWloaWu1/F8Jt8jYR1UUZYR1HQ8SDM91K1fhcOj54C5z5xJu9lE2eSGZBAQA+31aCwSi5eXNR1TDt3RuIhYyU6TKxZEewlExgdY+XbI2KMxglWpNKdU7qYXmmgfZFORVfjeSz/0lO+5fks/9JTvvXkchnOBw+LNcVQgghBlJ+ioU/Xzyet2vb+eOLSxkX3E6SEqLNE+Vbf/6YU0dl89NvVJGVbBroUIUYcgZNwXHhwoWfK+YdSDgcRq/XU1tby9y5c/vG/7N24/+u7dhf7HY7drt9n3GtVntYf+HSaDT73GND9wbKUsvw71FR4wkKq9LQeetoaOshmjoaW2Ar5ZMnodVqUdUIve6PcKZMwmiw097+Ot2BFpL9o0g3d6MtnEWXCpt9IaZ2RNmWYuTkbOeQ/iVyfzkVX53ks/9JTvuX5LP/SU771+HOp3yfhBBCDGUzKzKZcv35/P2NQoIfP8a/1eMBeGVDK8tqW7nhxCy+OWMMeq10ZgjRX4bk/5uMRiMzZszg2Wef/dz4008/TWVlJUVFRYd0vVdeeQW/38+ECRP6McrDpzPQSZO3iTLDCLqbfCQ5jKTnW2le9yaqLRtPXQt5Y2rQJSUB4PFsQEFDsr2GaNRFZ88H+L0xhqk5aJP0kDWS93o8FIQh4omQUuwg3fDFa1kKIYQQQgghhBBHE5Ney3dPPYHTf3g/08sz+sbPji/mtPfn8/u7f8rHu2WJESH6y6CZ4XiofvaznzF9+nSuvPJKzj33XN555x2eeuopnn766c8dp9PpuPjii/nLX/4CwPXXX49Go+G4447D4XDwySefcOeddzJ+/HgWLFgwAE9y6NZ1rqPQXki0VUsikSBreDJqx2YaOjxEssuxutdTNnkisHetR493I8nJNWg0ejq7PqYr0ESSt5osswslbwwdMdjtDzGnNcS6NAPzM/adxSmEEEIIIYQQQhztitKsPHrJBJZsaefOl9ZzRehlnIqPIt86znvkI84Yk8vNp1SQYZM2ayG+jiE5wxHghBNO4Pnnn2f58uXMnTuXp556ij//+c+cc845nzvuf3eQrqqq4u233+bSSy/l5JNP5o9//COXXXYZb731Fjrd0V+fdYfd7HTtpNoxitbdvWj1GjLyrDStexfFWYBrVyM5I0eg/7T1OxhsIB7zkZRUSTTqosf1EV5PhCJ1ODpjAHLHscEXJCeg0huIkTXciVN/9OdBCCGEEEIIIYTYH0VRmDsii9euP4nnx/2Nf6vHc0f0AgBeWNvMSXe/x9/e304srg5wpEIMXkO6cjR//nzmz59/wGMSicTnXl922WVcdtllhzOsw2p953oyrZlou6xEQz4yi5PR9m6iscdPLH801u6PqTj3jL7jvd5NWK2laLVmunuW0eVvxuKrIMfiQ8muIqpPYounnRFtIXZnGDgr1TaATyeEEEIIIYQQQvQPi0HHFfOns2vyeCpe2kznji4AsiN7OHnpd3lgxcVMO/caxhXJbtZCHKohO8PxWBSMBantqaUmrYb2Og8okFFgpXH9MnSpw+je1UD2iEoMn+7iHYv58Qd2Y7NVfzq78RN6vQEKYiMxaFshbwI7AiFUX4REMEbBMCd2nSwqL4QQQgghhBBi6BiensTfL53IgxeMJctu4qe6J8hUejnP/wQXPvweNz6zni5feKDDFGJQkYLjELKpaxNJ+iSSgxl4u0PYUkzYta00u4LEkguwtLZSPmVy3/E+31b0OjsmUy69vSvpDrRi9A8nLymIkloEtiw2eANke+K0J+uZ5EwauIcTQgghhBBCCCEOE0VR+MaobN66fhqbxt7GUnUcv4x+myAmnlndxOxF7/PsunbiauLLLyaEkILjUBGNR9nYtZGajBo66jwAZBTZ6dm9loQljY7tdWSXl2JO3zsVPJFI4PVuwmYbQSzmxtW7mh6vm/zIOIxKPeRPpCcao8EXIr0ngj3PRpLMbhRCCCGEEEIIMYRZjTquPOMkCn/wb9yFc/vGQ6EgEz78Lg/cdztr63sGMEIhBgcpOA4Rta5aNGjI1xXR3exDZ9CSkWOgrXEPMXMapuZGyqdO6Ts+FGoiFvNis1Xhdq+lO9CCzldAoVVBY3NCagkbvUHSAyoBDZRkyOxGIYQQQgghhBDHhtJMG//47mTuP7+GDJuRhdrXmKSp5TrfIm7+49Pc/PwGXP7IQIcpxFFrSG8ac6xQEyrru9YzKn0U3Q0BEiqkFyRB7zZ6whq6fX6KhxdjyczsO8fr3YzFOhyNxoTbs55ubydF4VkYDTshbxpxYJM3wLCeMD1pRkqs5oF7QCGEEEIIIYQQ4ghTFIXTa3KZWZHB316OsmzjVprUVGrVAmo/aWTxpjZ+fHIF543PR6NRBjpcIY4qMsNxCKj31ROOhylPrqCj/tN26kIbHTvWopoc6FtbKZ1yXN/x8XgQv38HtqQRBIONdLq3oPizKbBa0BoVyBzJrkCYSDCG3RMjI8+OXv7jKYQQQgghhBDiGGQz6fn+mXNQzn6Ml3Ku7RvvDUTpeOn/uHfRnWxs7B24AIU4CknBcZBLJBJs7t1MVWoV3tYo4UCMpBQjDnuE9rY2oqqVZLsNW35e3zk+31a0uiTM5gJ8vq14Qm6yQjVY9bsguwZ0BjZ6AxT447SaNVSkWAfuAYUQQgghhBBCiKNAaYaVJ757PPecM5q0JAMjld1crX2BG7y/4W8P38HPXtyEOxAd6DCFOCpIwXGQa/I10RvppTq1mvY9bhRFIaPQTqBhHZ6EGZ8rRHpFGYqyd4ZiIpHA492EzVZNIhGnp3c1EZ9CliEdDb2QOw5PLM6eQJj0zjCRDDP5JsPAPqQQQgghhBBCCHEUUBSFs8bl8db105lVU8KKRBV71Exejk/m8Y/qmXnPuzyzqhFVdrMWxzgpOA5yRq2RsaljUd06vN1hdAYN6XlJtO/aiCYpHUN3N0UjqvqOD4dbiUbd2JIqCQbr6PHXYwoVk27oQMmoApOdTd4gzrCKGolTkJfcV6wUQgghhBBCCCEEJJv1/PC8eSR/9zVuy7iXMHsn6nT7I7z8/OPcc/9v2dLsHuAohRg4UnAc5DIsGVQ5quio96LRKKTmJKGPtNPe4yEUt2B3JGPNye473uPdiMVShE6XhNe7FV/QS3q4AJ3aDHkTUBMJNvoCFLjjNNt1VNktA/h0QgghhBBCCCHE0as6z8Ffr/wGvzlrJE6LHhNh7tD/hRvdt/P+H37AbS9vxhOSNmtx7JGC4xAQCcbpafGRANILbbj3rCGkT8bX0UtGRXnfDMV4PITftwO7rRpVDeNyryUSUMjS6tCkFoA9m/pgBH84hrMzhD7bSqpBNjIXQgghhBBCCCG+iEajcN6EAt65YTqXjHXQlEgnnlB4MT6FRz+o46R73uPFtc0kEtJmLY4dUnAcAlwtQVQVkhxGklP1tNXVorFnYejuprC6su84n38bWq0Fs7kQv383rkAzxsAwnAYPZOxtu97gCzAslKBbk6Ak0zZQjySEEEIIIYQQQgwqDouBn5w7E/PCxdzgXMTWRCEAnd4w/+/p97jrgUVsa/MOcJRCHBlScBzk4nEVV0sQhb2zG9WunXR6Y/gjRpKdyVgyM4G9m8V4PZuw2apQFA1e31Z8IS8ZkTx0+gCkleCPx9npD5PdFaHNaaDcZh7YhxNCCCGEEEIIIQaZ0QVO7r7mEv7fgmqSzXoAbtY/xY9dt7H9wXO4/dUt+MKxAY5SiMNLCo6DnKvFTzSkotNrSMtLonvXGlRrGoG2TjKqKvraqcPhNiLRbmy2EcTjAdzuDYT9GjJ1FjQpOWBKZosvhC2WQO+JkJxnw6rVDvDTCSGEEEIIIYQQg49Wo3DhcYW8ff00vjk2g3ylA4D1ajF/en8PJ93zLi+vb5E2azFkScFxkHNkWbEk63FmWzFoIrQ31aNJzsHU2UlR1X93p/Z6N2ExF6HT2fD7d9IbasMUKiLF6IO0MhKJBBu8AUr9CRpNGspTrAP4VEIIIYQQQgghxOCXmmTkznMnoL10MXdYf8Jj8bkAtHvCXP2PNfzyoUfZ2eEb4CiF6H9ScBzkEvEEkUCc9IIkIq0b6Yno8Aa12NNSMWWkA6CqYXz+7dhs1QB4vVvxBL2kh4eh07ggtZTmcJTeSIzUjiC9aUZKLKaBfCwhhBBCCCGEEGLIGFeUyk3X/ZifzR+NzbR3c9bTNCv4v85r2f3707n31bUEItJmLYYOKTgOcr0dAfRmLbZUE50716O1Z+NvaiHzM7tT+3zb0GiMWCxFxGJeej2bCQc0ZOqsKHYnJGWw0RugIKYQCMfJzrWj1ygD/GRCCCGEEEIIIcTQodNquHhKEW9fP50zx+TyDe3HAJgTIR54v5lZ97zH65tapc1aDAlScBzk0gtsFI1xoAR7aG/vAGcu5u5OCqs/2069GVvS3s1ifL5teMJdmEJFpJr9KGnlhNQE2/whhrtj7EnSUGmXzWKEEEIIIYQQQojDId1m5N7zanBe8g8Wma/iF7GLAYUWd4grnljDtX96jT1d/oEOU4ivRQqOQ4DOoCHYsA43VjzeOMnpaRjTUgGIxbyEwx0kJVUA4PXV4gl5SY+UoEu0Q1optf4QBhVMHUEimWbyTYaBfBwhhBBCCCGEEGLImzQ8natu+BXfPGUWSca9bdZZdHN783fY+sCZPPzKB4Si8QGOUoivRgqOQ0EiQceezZjT8gnU1ZFd+d/dqQOBOnQ6G3q9k0ikG4932952aq0NxWKG5Hx2B8MUh6FdSVCcaes7VwghhBBCCCGEEIePXqth4dRi3rp+GvNH53CR7k2sSpjjlQ08sryBWfe+x9It7QMdphCHTDfQAYivT+Npot3lQy3Pw9yzk/wRlX3vBYMNmC2FKIqCz78dT6QXU6jg03bqEuKKQkMwzOSuMFuTdZxmswzgkwghhBBCCCGEEMeeTLuJB745hg+33819z+XQ6IUe7PS4giz8+ypOLkvm1gVjyU+R39nF4CAzHIeAUMtmQvoU3N1eHJkZGFP3tlMnEirBYCNmcwGJRAKfdyuekJu0cAW6RAukldEcihALxzH0hjDmWEk1SA1aCCGEEEIIIYQYCFPKMrnyxjspnftdzHotAAoql9f9iHX3ncWfXlshbdZiUJCC42AXj+JqrSMpqwj/7j1kV1b0vRUOt6EmophNBYQj7XgDdYT8GrJ0TjRGBZzDqA9GyAzEaTFqKE9JGsAHEUIIIYQQQgghhEGn4Yppw3nr+mmcMjKLeZpPGKfZwWmaD1mxfClz71vGO9s6BjpMIQ5IprMNcmrHdrqCCoakLKyuTeRX/bedOhCsx2TMRKs10tu7HU/EjSlUQIrFj+IcBjoDdSEPyd4YXUk6pieZBvBJhBBCCCGEEEII8R85DjMPfWsc79Xm8LvnA+QGa3lbHQvdAb7z6ErmVmXw8/nV5DrMAx2qEPuQGY6DnCuRRMQxHHd7N46sDPQpzr73gsEGzOZCEgl17+7UQTfpkUr0iWZIK8Ufj9MejGB1R3BkWLBqtQP4JEIIIYQQR6dbbrmFYcOGoSgKO3fu3O8xv/rVrw74vhBCCPFVTavI5rs33UXLjPsw6f9bxinf9jAr7z2Xv77xMZGYOoARCrEvKTgOckZ7Kuklowjs3k3OZ2Y3xuMhwuF2zOYCQqFmAsEmgn6FTF06Gm0QUktoCEYwhFUUNUFumnUAn0IIIYQQ4uh16qmnsmzZMgoLC/f7/oYNG/jggw8oKCg4wpEJIYQ4Vhh1Wq6aWcqb105jdlUmeUoHP9D9mwWaZajvL+Lk+5exfEfXQIcpRB8pOA5ySUlJ+FSFJHcveZXlfePBYAMajRGjMfPT3am9mML5pFoDKMm5YEyiPhghI6jSadGSbzYO4FMIIYQQQhy8nTt3csUVV1BTU4NOp6O6unq/x9XW1jJ79mysVitZWVncdNNNRCKRQ77flClTyM/P3+97sViMK6+8kgcffBBFUQ752kIIIcShyE+x8KeLxvOrb8/mT4ZvUadm8kDsDHZ3+rnwLx/zg6fW0OoODnSYQkjBcSjo2LkbR3YWOudn26nrMZv3/mDs823DHeolIzICPU2QVkYikWBPMEyyJ0o02UCG7E4thBBCiEFi8+bNvPrqq5SUlFBVVbXfY1wuFzNnziQSifD8889zxx138Mgjj3Ddddf1ayx33nknZ5xxBsOHD+/X6wohhBAHMqMqj4U33cu/p75ISGfvG2/ZuIwP7v0mf1u6imhc2qzFwBmyBcc333yTCy64gOHDh6MoClddddVBn+t2u7nssstISUnBZrNx9tln09raehij/er88TiRujpyPrM7dSKRIBhswGIuJBLpJhBsJuCHDF0umkQvpJXRFY3hDUexeaI40q3yibwQQgghBo3TTjuNxsZGnn32WcaOHbvfYx5++GE8Hg8vvPACc+fO5dJLL+Wuu+7i4YcfpqWlpe+4iRMnkpaWts/XF133szZu3Mgbb7zBj370o/56NCGEEOKgmfRafji7ijevPZEZ5eloUPmV/lHOVt6hatn3OeX+91mxq3ugwxTHqCFbcHz99ddZv34906ZNw+FwHNK55513HkuWLOHhhx/mySefZNu2bcybN49YLHZ4gv0adja1YvO6ya4o6xuLRruJxXx96zd6wj2YQwWkJvlRktLBkkJ9MEJKBEIayHHKjlZCCCGEGDw0mi//EXbx4sXMmjWLlJSUvrFzzz0XVVVZsmRJ39gnn3xCV1fXPl9r1qz50nssX76cXbt2MXz4cIqKimhqamL69Ol88MEHX+3BhBBCiK+gMNXKXy+ZwB+/VcP7hhMIJIwsip3Njg4f3/zTR/zon2vp8IYGOkxxjBmyfbS//e1vueeeewB4++23D/q8FStW8MYbb/DGG28wZ84cAMrLy6msrOT555/n3HPPPSzxflWl4QDmonx0ycl9Y8FgAwZDKjqdjWCwAU/IRUZ0OnqaIbUEgLpgmIxgnE6LltEWWb9RCCGEEENLbW0tl1566efGHA4H2dnZ1NbW9ss9vv/97/P973+/73VRURFLly6lpKTkgOd5PB48Hk/f6/900sTjceLxeL/E9r/i8Tiqqh626x9rJJ/9T3LavySf/W8w5HRmVQ6TSxbx56XfZtVHPUACgCXrdjNy670Ypl3LuSeMRKcd+LlngyGfg82RyOmhXHvIFhwP5pPv/Vm8eDEOh4PZs2f3jZWXl1NTU8Nrr7121BUcLWVl+8zgDATqMZsLSCQSeHy1hEJx0rR5aOPLIG0uMTVBYyjCmN4I7hQjafoh+9dACCGEEMcol8u13y4Xp9NJT0/PIV3rpptu4qmnnqKtrY2pU6dSVFTEihUrvnJs9957L7fddts+493d3RiNh+eDYFVVcbvdwFf/OVn8l+Sz/0lO+5fks/8NppyeO6GI40qyuPudBj5p8HKN7gUuU16m/b1lnLX6D1x9Uhmjc5IGNMbBlM/B4kjktLv74Fv0pdL0P2praykvL99nTcPKysp++zS8v302VlWNEgo1k5w8lmi0B0+gCV0og9SkCIo+Cew5NIciqBEViz+Gs9wp6zcKIYQQQhzAXXfdxV133fWlx9XV1R3U9a677joWLlzY97q1tZWJEyeSmppKenr6Vw3zgP4zIyEtLQ2tVntY7nEskXz2P8lp/5J89r/BltP0dHiqNI/XN7dT/9JrhGJ6XoifwKbuBN/71zbOGpvLTXPLSEsamI7HwZbPweBI5DQcDh/0sVJw/B9f59Pwo6E9JhBsRE0k0Osz8flrCUS82EJV6C1NxJ3DQVXZ7Q+SGVFxaSHHZpApzP9Dpnb3L8ln/5Oc9i/JZ/+TnPavo609ZrBwOp19n/J/lsvl+ty6jgPBbrdjt9v3GddqtYf1ly6NRnPY73EskXz2P8lp/5J89r/BmNNTR+fir7ifRxefxcOfuPrGn1vTjHnL01TP/CbnnDASrebIT0QajPk82h3unB7KdQdNwdHtdh/UTtHFxcUYDIYjENG+job2GJ9vI7GYne7uXnrdW/D6vKSHUgi7dxDKKCXe2ckmV4D8zjBN2hgFPi+dIf9hiW2wkqnd/Uvy2f8kp/1L8tn/JKf962hrjxksKioq9ulO+c/PkxUVFQMUlRBCCHHkWY06vr9gJrOnePnZi5tZsbubyZrN/D8eovOtJ/nBml/zvTPnMabAOdChiiFk0BQcn3nmGS6//PIvPW7r1q1f64dIp9NJY2PjPuMH82n40dAeE4n0kpIyArs9DZ+/g4SqIdNsx2q3YRk+Bn9CIeCPkxmO48myUJqVIS3V/0OmdvcvyWf/k5z2L8ln/5Oc9q+jrT1msJg3bx533HEHvb29fd0rzzzzDBqNpm9jQCGEEOJYUpJh46nLJ/HyhlY2//s9wnE9nQkHb7Yl8cYfPuT8CfncNLcCp3VgJnGJoWXQFBwXLlz4uWLe4VJRUcHSpUtJJBKfK8TV1tYycuTIA5470O0xiUSAWKyXpKRhJBI+vMFGiDhINYTQpJWA3kiTL0hSXEEfjpOaYUOnGzR/BY4omdrdvySf/U9y2r8kn/1Pctq/jqb2mKNBIBDgtddeA6C+vh6Px8Ozzz4LwLRp00hPT+eKK67gd7/7HQsWLOCWW26hubmZG2+8kSuuuIKcnJyBDF8IIYQYMIqiMH90DjPKb+dPr5zE4rW7iaOFBPzjk0YaNi5nwazpnDW5Es0AtFmLoUP6nP7HvHnzcLlcvPXWW31j27dvZ+3atZxyyikDGNmXCwTr0emS0OtTCIWaCUS9WCP5mBKtkFoKQF0wTG4UOg0a8u2mAY5YCCGEEOLQdXR0cM4553DOOefw7rvv0tjY2Pd68+bNwN6ulbfeegudTseCBQv4yU9+wsKFC7n33nsHOHohhBBi4NlMeq46ey73XP0tJhbt7ea04+c+9U5OXDKPn9//BzY27bsWshAHa8hOb6uvr2flypXA3k/Bd+3a1ffJ99lnn913nE6n4+KLL+Yvf/kLAJMnT2bu3Llceuml3HPPPZhMJm699VZGjRrFmWeeeeQf5BAEgw2YzYUoikIw1EQwEiQ1koLG6AJHAYlEgrpghFHeGHusGiabZJq0EEIIIQafoqIiEonElx5XWVnJ0qVLj0BEQgghxOBUkWXn6e8dxwtrm1n2yuMkx/0k0LCsw8STDy7nwkmF3DCnnGSLfqBDFYPMkC04vvPOO3znO9/pe/3666/z+uuvA3zuB9T97SD99NNPc9111/Hd736XWCzGnDlz+N3vfndUtx8nEirBYCNpqTMACAT2EAlGcChmFJsKJjtdkSj+WJwkVwTyTCTrBlf7lBBCCCGEEEIIIfqXoiicOTaPkypv4I8vj2b3+vdpSGQC8PhH9azYUMuVc0ayYGKZtFmLgzZkW6ovueQSEonEfr8+K5FI8Nhjj31uLDk5mb/85S+4XC68Xi/PPffcUb/WTzjSgaqGMZsLiEY9ePx1xCNWnAYtij0XgLpghLQ4xKJx0tMtslmMEEIIIYQQQgghAEg267n63FO47MqfMKbA0Td+U/Qhjlt8Mr95YBFbWjwDF6AYVIZswfFYEwzWYzRmotWa9q7fGPFijORg1fnh04LjnmCYvHCCNqOGPKus3yiEEEIIIYQQQojPq85N5rkrpnDXWaMYY+lkhmYdOUoPvZ0tnPq79/nFS5vxhKIDHaY4yknBcYgIBRuwmAv3/u9QM4FYkORYDhp6wJ5NVE3QHIqQ6onTbdVQYDYOcMRCCCGEEEIIIYQ4Gmk0CudOyOfRGy7goYpHeTQ2l3/Fp6Em4LEP65j127d5aeWOg1pTWRybpOA4BKhqmHC4DbO5AIBAoJ5wMIgjbkNj1IEtm6ZQhISawOgKoUsxYZf1G4UQQgghhBBCCHEADouBH37zdMZ+7xFG5jn7xmeF3mDsKyfz2wcWsa3NO4ARiqOVFByHgEi0BUVjwGjMIhbz4QvWEw3rcRoMKPYM0OqpC4bJjSv41QRpadaBDlkIIYQQQgghhBCDxOh8By9ceTy3n1FNuinBdbpnyFO6qO5azCkPvM/tr27BF44NdJjiKCIFxyEgEmnCbMpHUTSfrt/Yiy6agd0Y7lu/sS4UIS+UoNWkUGCRdmohhBBCCCGEEEIcPK1G4VuTCnnjxjk8Xno/78VH8f+iFxJXE/zp/T2cdM+7vLyuSdqsBSAFx0EvkUgQiTRj7lu/sYVALERytAB9ohvsOfhicboiUZzuKD1JWvJNhgGOWgghhBBCCCGEEINRitXAtReeSdLCl3BkF/eNW7x1VDw/h7t//wA7O3wDGKE4GkjBcZCLRl2ocX/f+o3BYCPBkJ/kWBoaTQBsOdQFw1hRUNxh9E4TSbJ+oxBCCCGEEEIIIb6GcYVOXr76BH55+ghsJh3/p/s7pZpmLu66lzPuf5PfvF5LICJt1scqKTgOcqFwM1qdA53ORjwexB+oJxJWcGgtYLKAJYW6YIT8mIJbTZCZahnokIUQQgghhBBCCDEEaDUKF00u4u3rp7Om5CrWqiX8v+i38MYN/OHdXcy65z1e39QqbdbHICk4DnK2pGqcjm8AEAo144+6UCIpOM1xFHsOCaA+FCEvqNJi0ZAv6zcKIYQQQgghhBCiH6XbjFx38blEL3mD7elz+8Y73D54+tv89qE/sKfLP4ARiiNNCo6DnKIoaDQmYG/BMRgLkxTNx6BxgT0Hb1wlEI9j6YngkvUbhRBCCCGEEEIIcZhMLE7jlWum8rNTq0gy6rhYu4STtSu5qfNmfrDoSe5Zso1gJD7QYYojQAqOQ0gg2EQg4iM5movm0w1j2sNRDCqovjDGVDNWrazfKIQQQgghhBBCiMNDp9Vw2QnDeOv6aVhKTmCDOozn4iewJZ7L797eyexF7/HW1o6BDlMcZlJwHCLiaphQsIFwMEaKYkejje8tOEaipEUSuDQK2Q7zQIcphBBCCCGEEEKIY0Cm3cT13/kmvm+/waOOq/vGm1xBPv7Hr/jLv56joScwgBGKw0kKjkNEONRCIOpGjdhxmDUo1lTQm+mMxEgJxmk1K+SbZf1GIYQQQgghhBBCHDlTSjN5/odzuHleBRaDlgqlgZt1/+DWnlt44IG7uH/pDkJRabMeaqTgOESEQi0EoiHM0Wwsei/YcwBoD0cxu6O4kvSyfqMQQgghhBBCCCGOOINOw/emDeet66cxrSSF7Yl8mhJpvB6tYdHS7cy9bxnvbJM266FECo5DRCjcTCDqwxEtREsX2HMIxFU84RgGfwyr04hZK99uIYQQQgghhBBCDIzsZDM3X3Yend9czA2m2wiydxPc+u4ADz72OHf98a80uaTNeiiQCtQQoCaihIKNBEMhHIlMNGov2HPpiETRRlUScZUsWb9RCCGEEEIIIYQQR4ETyrK469szuX52KSa9BgNR7tI/wk2t1/LMoh/x4Ds7CcekzXowk4LjEBCLthOOuolGzDiMehS9AazpdISjpMQSdBsU8i2yfqMQQgghhBBCCCGODgadhiunD2fpddM4q1RLBD1qQuGdaDW/fWMb8+57n/d3dA50mOIrkoLjEBCJtuOPhTBE0rGbQmDLAo2W9kgMW0jFZ9KSadAPdJhCCCGEEEIIIYQQn5PntHDnZafRdv4b3GD+BRsSwwHY3eXn6r+8xd1/fpxWd3CAoxSHSgqOQ0A02kYgGsARK0CndPdtGNMRiWIOxFGtOpJk/UYhhBBCCCGEEEIcpaZX5XLH9Vfzo1mlGHR7axg36v7FDU1X8fa9F/PH93YRjasDHKU4WFKFGuRUNUok0kIg4scRy0ejdoI9l4iq4orEsPqjWJONKIoy0KEKIYQQQgghhBBCfCGTXsuPZpXx5rUnMrcsmfGabQC0xJK5c3Etp9z/Pit2dQ9wlOJgSMFxkAtH2onFvYRDWhw6B4oSBnsOnZEYRFUMUZXkZNkwRgghhBBCCCGEEINDYaqVh79zPI3nvM49usv5U/wbAOzo8PHNP63g9r/9mw5PaICjFAciBcdBTlXDhBIK2kgKydYIitEGJjvtkSiOGPh1GlKthoEOUwghhBBCCCGEEOKgKYrCrJH5XHnTb/jezEoMny4VN0ezipt3X8y793yLR9/dQkzarI9KUnAc5KyW4QRUM/ZYHkatq2/9xs5IDGckgcuoIV2vG+AohRBCCCGEEEIIIQ6d2aDl+jnlvP6jqUwtTePb2jfRKAmKEo3c9vpuTv3dclbW9Qx0mOJ/SMFxkFMTMfzhZpzRAjR0gz0XgPZwFEswRsisJc0gBUchhBBCCCGEEEIMXsXpSfz90okEznqKh7UX8LPodwCF2jYv5zy8glv/sZxOb3igwxSfkoLjIBcKtREJBUnW5KKJ7d2hOp5I0BmJYfbFMNgMGDTybRZCCCGEEEIIIcTgpigKc2sKuejHv2PGiTPQafZukJuGmxtqz+PNey7iH8s2EFcTAxypkErUINcTaCYRTsZhAUWjQFIW3ZEY8VgcSyiONdk40CEKIYQQQgghhBBC9BuLQcdP5lXw+o+mMmV4Kt/TvYxT8XFa4j0WvbaB+b9fzpoG10CHeUyTXttBzk0SpuDxmJI8YE4DnYH2YAB7HKIJcNql4CiEEEIIIYQQQoihpyTDxpMLJ/Ha2tv50ytJNIQtdOCko8XDmQ99yDfH53DjvBGkyGa6R9yQneH45ptvcsEFFzB8+HAUReGqq646qPPq6upQFGWfr+OOO+4wR/zVVDorqdFXo1W6+tZv7IjESI1BjwHSjfJ/KiGEEEIIIYQQQgxNiqLwjbHFfPPHf8A05XtoP22zhgTz1l/Na7+9hH8t34IqbdZH1JCd4fj666+zfv16pk2bRk/Poe9WdMcddzBjxoy+1zabrT/D6z9hFV1ci1btAns1AO2RKGkhlU6TlnTZMEYIIYQQQgghhBBDXJJRx63fqOLscfn87N+bSKt/jRO1G4GNfO+1Up5cN5tfLahmVJ5joEM9JgzZatRvf/tb7vn/7d17WJR1/v/x18wAw0EQ5JCoKR4BDdN1PW7mGaPU7KBW37YstbSyTVqrqzYP5WG/GratrT87mLmVWZBm5gGz+G5ZeMrcr5pk5qE0UgKEUE4zc3//6HJ+S3gAvGEYeD6ui+tqPnPPPW9fzNjb99z33CkpkqRPPvmk2o/v2LFjvT2q8T85C0pltRXL4vhFCmkpwzCUU+rQlWcccgT6KNTH5ukSAQAAAAAA6kRs82C9c18frdsVrtc2HNeVjqNKd/WUjhfoxn98rjt6tdb04bEKDeSM0NrUYE+ptjaSKzPbmtpla14k+fpLgc2U73CqzOlSYJFDgaH+slosl94JAAAAAABAA2GxWDSqZyfd8tjL+vz3i92zEcOQ/Hct1fsLJ2r1tm84zboWNY6pXA1MmTJFNptNUVFRmjRpUo1Oy64L1gAf+VjzpOBoyWLRqbJyBTgNGQ6nmnKFagAAAAAA0Eg1DfDVrBuv0rqp1+h3rUMVrVw96pOq8cZa5X44S2NeytT+Hws8XWaD1GBPqa4pu92uKVOmaPjw4QoNDdX27ds1d+5c7dq1Szt27JCvr+8FH1tYWKjCwkL37ezsbEmS0+mU0+mslXqdTqcsv2TL2TJehtOp7OIyhTsMFdikULtPrT1vQ+Z0OuVyucjOJORpPjI1F3maj0zNVRd58ru6tCeffFJvv/22jh49qm+//VYdOnSQ9OsFB0ePHu3eLicnR1FRUfrqq688VCkAAPitLi2aKm1yP72/I0Lvpl+nG1wZ+n+OUco7lq+Ri7fqrr4xSk7spBD/C898UD1eM3AsKChwD/Aupl27dvLzq/l5+NHR0VqyZIn79oABA9SlSxeNGDFCa9as0dixYy/42EWLFmn27NmV1nNzc2W3187Rhi6nQz553yuveXcZOTk6XFCs0LxS/WiUq/MvBcopPVMrz9uQuVwuFRT8+glHYzk1vzaRp/nI1FzkaT4yNVdd5Jmbm1sr+21IRowYoSlTpqh///4V1mNiYrRnzx737bFjx6pHjx51XB0AALgUq9Wim/vE6nTXV/X3jV8pf9fPkiG5DGlnZobSvnpO4UlPalTPDrLw9XSXzWsGjqmpqZo0adIltztw4IDi4uJMfe7rr79eQUFB+vLLLy86cExOTtbEiRPdt7Ozs9WrVy+Fh4crMjLS1JrOcRZkq9TXJnvrzrLam6i45GfFWiw6FOqr2OZXKMDGP/Sq69xRHhEREbLZuOjO5SJP85GpucjTfGRqrrrIs7S0tFb2W5sOHTqk5557Ttu2bdO+ffsUFxenffv2VdouKytLU6dO1RdffKHg4GDdddddmjNnTrU/oO7Xr98lt8nPz9f69ev1t7/9rVr7BgAAdSc00E8zbumt0b1P6+n39+l/j+drju9ydTcO6fN132jc7hQ9M7qL4pqHeLpUr+Y1A8eJEydWGObVRyEhIQoJqfyCtNlstfcPrrMnZQSEyeYfrGJDKnYZCjzjkC3KriZ+HApcU1artXZ/b40MeZqPTM1FnuYjU3PVdp7e+Hvav3+/1q9fr969e8vlcsnlclXaJj8/X4MHD1bHjh21evVqnThxQsnJyTp79qxefPFF02t65513dO2116pFixam7xsAAJira6tQrXngD3p32yHt2xyrBOOwXnVerx1H83TD37fqnn4x+tPQjgrmNOsa8ZqBoyd9+OGHOnPmjHr27OnpUiqL6qzi8gAFSTpZVi4/Q/IpcapJKBeMAQAADdfIkSN14403SpLGjx+vXbt2Vdpm6dKlKiws1Jo1a9SsWTNJksPh0AMPPKAnn3zSPRjs1auXDh8+XOnxrVu31u7du6tc04oVK/TII4/U4E8DAAA8wWq16LZ+HZV39etK+SBDGf92SJKcLkNvbP1GTXYvVYcRj+iG7m05zbqaGuzA8dixY9q5c6ck6ezZs/ruu++UlpYmSbr11lvd2/n4+Ojuu+/WsmXLJEmPPvqorFar+vTpo9DQUO3YsUPz58/X73//+wpfCF5v2PxkBPzaQJ8sdaiZ06IzFiksmIEjAABouKryfZYbN27U0KFD3cNG6dfvWJw8ebI2b96s8ePHS5J27Nhx2fUcPHhQ33zzTf3sFwEAwEU1C/LT47cP17A/5Ovp9/dp/4+FmuLzgR5xrdbh99M1ftfLenr079QhKtjTpXqNBjtwzMjI0D333OO+vWnTJm3atEmSZBiGe/23V5Du3LmzlixZopdffllnz55Vy5YtNWHCBM2ePVs+PvU7rlNl5YosN5TvZ1Ebe80vnAMAANAQZGVl6d57762wFhoaqujoaGVlZZn6XCtWrNC4ceOqdKHAwsJCFRYWum+fuzDib/tSM3H1eHORp/nI1FzkaT4yNVd9zfPqliFaM6WvVu74XsZH5XIaFn3q6qp/HS7S53/7TPf+IUYPDWqvIHv9mw/VRabV2Xf9S8gk48ePd39qfTH/OXyUpAkTJmjChAm1VFXtOlVWroQSlw7brfq9b4P91QIAAFRJfn6+QkNDK62HhYUpLy+vWvt67LHHtHLlSv3000/q37+/YmJilJmZKenXK4m/8cYbSk1NrdK+Fi1apNmzZ1daz83NrdLAsia4ery5yNN8ZGou8jQfmZqrvud5XftA5UXP139vuU6rDv96QJfDZejlz44od/f76nntDRrQKapenWZdF5nm5uZWeVumUg1EsdOlAodTAUXlKgvwUTMGjgAAAKZZsGCBFixYcN77rFarvv/++yrvKzk5ucLFELOzs9WrVy+Fh4crMjLysms9H64eby7yNB+Zmos8zUem5vKGPCMlPT7hdg05mq+Z675W1k+/6HeWg0px/rcOf7xCz2X9VVNGD1HbiCBPlyqpbjItLS2t8rZMpRqInDKHrIbkV1Qu+xVN5GOtP1N2AAAATwgLC3N/0v+f8vPzK3yvY10LCQlRSEhIpfXavrI7V483F3maj0zNRZ7mI1NzeUuevdtH6MOp1+ifmceU/9EGuQyLnLLpgyNWrfv757p/QDs9MLCDAvw8/+eo7Uyrs18Gjg3EqfJyhRsWlTpcahrCBWMAAADi4uIqfVdjQUGBsrOzFRcX56GqAACAt/GxWXXvNW11qmuKnn/vGm09eFLl8pGcLi3+5JC+/HK77h0xSEMTrvR0qfVG/TtRHjVyqsyhCIdFBb4WhQdywRgAAICkpCRt2bJFp0+fdq+lpqbKarUqMTHRc4UBAACvFBXir0fvuV2PTfyjOkY1kSQFqVgpJTMVk5qoZ196Q9/nnvVwlfUDA8cG4lSZQ+GlTuXarYr048BVAADQsJ09e1ZpaWlKS0vTsWPHVFhY6L6dk5MjSZo8ebKCg4M1evRobd68WcuXL9f06dM1efJktWjRwsN/AgAA4K36tg/Xhj/115PXxynRb6+iLXlqYzmpfx09q2HP/0svbPlWJeX16wrcdY3JVANQbhjKL3eoyRmnivwtivTz9XRJAAAAterUqVMaE9j5vwAAG8FJREFUM2ZMhbVztzMyMjRw4ECFhYXp448/1tSpUzV69GgFBwdr4sSJmjt3ridKBgAADYivzar7rm2v7Kuf0HNpHXT68Jc6ZLSSHC49v+WgNu/O0vSRv9PA+JaeLtUjGDg2AHkOl1yGRfZfyuWK8lOwjQNXAQBAwxYTEyPDMC65XXx8vLZs2VIHFQEAgMYoummA/jzhj/rs2+v0xdr9OvzzGUnS/b/8Q83fPq4FrR7VHWPGqVVYoIcrrVtMphqAnx0uhVksKi91qklTuywWrlANAAAAAABQV/p3jNTGR/pr+vBYdfH9UaNsmYqz/qCiY19p6KJ/6R8Zh1TqaDynWXOEYwPws8OpcPmqyGIotAkXjAEAAAAAAKhrdh+bHhzUQTd2a6GFqTZ1+CFNbzmHyul0aWH6N1q963vNHtVF18Re4elSax1HODYAPztciigzlO9nUaSdgSMAAAAAAICntAoL1PT77lXona+rVXiwe71bfrrC3hqm5159Q9kFxR6ssPYxcPRyLsNQntOlsGKXcv24QjUAAAAAAEB9MCg2SumPXKtpQzupqU+5nvBdqS7WY+p+bJmGpPxLL/3rO5U5XJ4us1YwcPRyeeVOOQxDAb+UqzjQqggGjgAAAAAAAPWCv69NfxraUeumJWp586e1zxWj2Y67dLbMqfkbs3T93z/TF9/97OkyTcfA0cudLCtXE4tFrjPlsgfbZbfyKwUAAAAAAKhPWocH6rEp9yl7XLqcTWPc6yU5h2VbcYOee22lThWWeK5AkzGd8nIt7X7qb/PVWadLIU3tni4HAAAAAAAAFzCsS3NtSR6gqYM7yM9m1UyfN9TbmqW7jz2upJSPtGzrETmc3n+aNQNHLxfqa1ObMkMFfhaFB3DBGAAAAAAAgPoswM+mRxNjlT7tWn3V/FYddjXXAsdtyi216tkPv9aIxVu182iep8u8LAwcGwDjrFO5vha+vxEAAAAAAMBLtI0I0vQHpujbWzbri6BE9/rBnwr07av3KmXFu8r5pdSDFdYcA8cGoKyoXAX+VkX6+nq6FAAAAAAAAFSRxWLR8Kvb6KM/D9LkAe3lY7XoDtvHusMnQ48cvk/3pqzUii+OyukyPF1qtTBw9HKGYai4yKHyQB+F+do8XQ4AAAAAAACqKdDPR08kxWnTI/3VpHkHHXNFaZOrp/aWRGnmB/s16sWt2v19vqfLrDIGjl7OKHGquNyloKZ2WS0WT5cDAAAAAACAGuoQFazHH3pQ+0an62/+D7jX9/9YqLdfmqfn31ytvDNlHqywahg4ejlXUZnOWKXQIE6nBgAAAAAA8HYWi0U3/K6d1vx5pCb1byub1aL2lhOa67NMU7+doNkLF+qt7cfq9WnWDBy9nc2qH8N8FGFn4AgAAAAAANBQNLH76KkbOmvDw/3Vr4VFpxSmXIXo45JOemrNPt285HP97/HTni7zvBg4ejlrmF0Hr/DjgjEAAAAAAAANUGzzYD3z0ETtHrFJ03z+oiIFSpL+fbxATy15Q397+wOdPlu/TrNm4OjlTjucchiGIv18PF0KAAAAAAAAaoHFYtGonh21dPp4je8XI6tF8pFDz/ks1YNZ4/XKoif1wb6f5aonp1kzcPRyOWUOBVqtCrTxqwQAAAAAAGjIQvx9NWtUF62beo2ua1GiYMtZ+Vqc2lXSSvO2HFPKRwc9XaIkicPivFxTH5t+F8jp1AAAAAAAAI1FlxZN9feHxur9Hd20I/1t7TLiZPex6PZeV3q6NEkMHL1ec7uvbAF+ni4DAAAAAAAAdchqtejmPrEa3PVJ2TZlKcTHqVZhgZ4uSxIDRwAAAAAAAMBrhQb66ZkbuygnJ8fTpbg1yC/+czqdWrBgga699lpFRESoWbNmGjRokD777LMqPb6goEATJkxQs2bNFBwcrFtvvVXZ2dm1XDUAAAAAAADg/RrkwLG4uFjz589Xjx49tGLFCq1cuVJhYWEaNGiQPvnkk0s+fty4cdq8ebOWLl2qt956S998842SkpLkcDjqoHoAAAAAAADAezXIU6oDAgJ0+PBhhYWFudeGDRumq666Ss8//7wGDx58wcdmZmYqPT1d6enpSkxMlCTFxsYqPj5eq1ev1tixY2u9fgAAAAAAAMBbNcgjHG02W4Vh47m1rl276scff7zoYzdu3KjQ0FANGzbMvRYbG6tu3bppw4YNtVIvAAAAAAAA0FA0yIHj+TgcDm3btk3x8fEX3S4rK0uxsbGyWCwV1uPj45WVlVWbJQIAAAAAAABer0GeUn0+CxYs0IkTJzRt2rSLbpefn6/Q0NBK62FhYcrLy7voYwsLC1VYWOi+fe5CM06nU06ns/pFV4HT6ZTL5aq1/TdGZGou8jQfmZqLPM1Hpuaqizz5XQEAAMBMXjNwLCgoqNKVotu1ayc/P78Kax999JFmzpypGTNmqEe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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "N, alpha, sigma, n_steps = 50, 0.3, 0.0, 60\n", "rng = np.random.default_rng(1)\n", "x0 = rng.uniform(-2, 2, N).tolist()\n", "\n", "res = opt.consensus_dynamics(x0, alpha=alpha, noise_sigma=sigma,\n", " n_steps=n_steps, seed=0)\n", "states = np.array(res['states_flat']).reshape(n_steps + 1, N)\n", "mean_traj = np.array(res['mean_trajectory'])\n", "\n", "variances = states.var(axis=1)\n", "print(f\"Moyenne initiale : {np.mean(x0):.3f}\")\n", "print(f\"Moyenne finale : {mean_traj[-1]:.3f}\")\n", "print(f\"Var init / final : {variances[0]:.3f} / {variances[-1]:.3e}\")\n", "\n", "fig, axes = plt.subplots(1, 2, figsize=(12, 4))\n", "for i in range(N):\n", " axes[0].plot(states[:, i], lw=0.8, alpha=0.5)\n", "axes[0].plot(mean_traj, 'k-', lw=2, label='moyenne')\n", "axes[0].set_xlabel('itération k'); axes[0].set_ylabel(r'$X_k^i$')\n", "axes[0].set_title(f\"Consensus (α = {alpha}, σ = {sigma})\")\n", "axes[0].legend()\n", "axes[1].semilogy(variances, lw=2, label='variance empirique')\n", "axes[1].semilogy(variances[0] * (1 - alpha) ** (2 * np.arange(n_steps + 1)),\n", " ':', label=r'$(1-\\alpha)^{2k}$ Var$(X_0)$')\n", "axes[1].set_xlabel('itération k'); axes[1].set_ylabel(r'Var($X_k$)')\n", "axes[1].set_title(\"Décroissance géométrique\")\n", "axes[1].legend()\n", "fig.tight_layout(); plt.show()\n" ] }, { "cell_type": "markdown", "id": "fb8eccea", "metadata": {}, "source": [ "**Résultat attendu.** Variance qui décroît exponentiellement.\n", "\n", "**Lecture du graphique.** Faisceau qui se concentre vers la moyenne\n", "(ligne noire) ; pente log-linéaire conforme à la prédiction.\n", "\n", "**Conclusion.** Le primitive est validé sur la convergence\n", "géométrique.\n" ] }, { "cell_type": "markdown", "id": "5a91c57b", "metadata": {}, "source": [ "## Cellule 2 — Effet du bruit\n", "\n", "**Théorème.** Lorsque $\\sigma > 0$, la variance ne tombe pas à zéro\n", "mais se stabilise à un niveau d'équilibre proportionnel à $\\sigma^2$.\n", "\n", "**Équation pivot.** Variance asymptotique croissante en $\\sigma^2$.\n", "\n", "**Ce que la cellule vérifie.** Sweep sur $\\sigma \\in \\{0.05, 0.1,\n", "0.2\\}$ pour $\\alpha = 0.3$.\n" ] }, { "cell_type": "code", "execution_count": 3, "id": "dc879366", "metadata": { "execution": { "iopub.execute_input": "2026-05-12T14:05:57.665702Z", "iopub.status.busy": "2026-05-12T14:05:57.665355Z", "iopub.status.idle": "2026-05-12T14:05:58.012408Z", "shell.execute_reply": "2026-05-12T14:05:58.011304Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "σ = 0.05 : Var(K) numérique = 0.0048\n", "σ = 0.10 : Var(K) numérique = 0.0191\n", "σ = 0.20 : Var(K) numérique = 0.0762\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "N, alpha, n_steps = 80, 0.3, 200\n", "rng = np.random.default_rng(11)\n", "x0 = rng.uniform(-2, 2, N).tolist()\n", "\n", "fig, ax = plt.subplots()\n", "for sigma in [0.05, 0.1, 0.2]:\n", " r = opt.consensus_dynamics(x0, alpha, sigma, n_steps, seed=42)\n", " states = np.array(r['states_flat']).reshape(n_steps + 1, N)\n", " var = states.var(axis=1)\n", " ax.plot(var, label=fr'$\\sigma = {sigma}$')\n", " print(f\"σ = {sigma:.2f} : Var(K) numérique = {var[-1]:.4f}\")\n", "ax.set_xlabel('itération k'); ax.set_ylabel(r'Var($X_k$)')\n", "ax.set_title(\"Variance asymptotique vs bruit\")\n", "ax.legend()\n", "fig.tight_layout(); plt.show()\n" ] }, { "cell_type": "markdown", "id": "54036a62", "metadata": {}, "source": [ "**Résultat attendu.** Variance qui plateauise à un niveau\n", "croissant avec $\\sigma^2$.\n", "\n", "**Lecture du graphique.** Trois courbes décroissantes qui se\n", "stabilisent à des paliers proportionnels à $\\sigma^2$.\n", "\n", "**Conclusion.** Le compromis bruit / convergence est gouverné par\n", "$\\alpha$ et $\\sigma$.\n" ] }, { "cell_type": "markdown", "id": "15bd197c", "metadata": {}, "source": [ "## Cellule 3 — Exemple concret : émergence d'une décision collective\n", "\n", "**Modèle.** $N = 100$ agents au sein d'un comité décident d'un\n", "nombre (par exemple un score entre $-1$ et $+1$). Chaque agent\n", "ajuste sa position vers la moyenne avec un peu de bruit.\n", "\n", "**Équation pivot.**\n", "$$X^i_{k+1} = (1 - \\alpha) X^i_k + \\alpha \\bar X_k + \\sigma \\varepsilon^i_k.$$\n", "\n", "**Ce que la cellule vérifie.** Visualisation : densité des\n", "opinions au cours du temps converge vers une distribution unimodale.\n" ] }, { "cell_type": "code", "execution_count": 4, "id": "11ad58dc", "metadata": { "execution": { "iopub.execute_input": "2026-05-12T14:05:58.015710Z", "iopub.status.busy": "2026-05-12T14:05:58.015433Z", "iopub.status.idle": "2026-05-12T14:05:58.679005Z", "shell.execute_reply": "2026-05-12T14:05:58.677754Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Moyenne initiale : -0.061\n", "Moyenne finale : -0.075\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "N = 100\n", "n_steps = 80\n", "alpha, sigma = 0.2, 0.04\n", "rng = np.random.default_rng(7)\n", "# distribution initiale : trois clusters\n", "x0 = np.concatenate([\n", " rng.normal(-0.7, 0.15, 35),\n", " rng.normal(0.0, 0.10, 35),\n", " rng.normal(+0.7, 0.15, 30),\n", "]).tolist()\n", "\n", "r = opt.consensus_dynamics(x0, alpha, sigma, n_steps, seed=0)\n", "states = np.array(r['states_flat']).reshape(n_steps + 1, N)\n", "mean_traj = np.array(r['mean_trajectory'])\n", "\n", "print(f\"Moyenne initiale : {np.mean(x0):.3f}\")\n", "print(f\"Moyenne finale : {mean_traj[-1]:.3f}\")\n", "\n", "fig, axes = plt.subplots(1, 2, figsize=(12, 4.2))\n", "im = axes[0].imshow(states.T, aspect='auto', cmap='coolwarm',\n", " interpolation='nearest', origin='lower',\n", " extent=[0, n_steps, 0, N])\n", "axes[0].set_xlabel('itération k')\n", "axes[0].set_ylabel('agent i')\n", "axes[0].set_title(\"Évolution des opinions individuelles\")\n", "plt.colorbar(im, ax=axes[0], label='X_k^i')\n", "for k, color in zip([0, 20, n_steps], ['C0', 'C2', 'C3']):\n", " axes[1].hist(states[k], bins=20, alpha=0.55, color=color,\n", " density=True, label=f'k={k}', edgecolor='white')\n", "axes[1].set_xlabel('opinion'); axes[1].set_ylabel('densité')\n", "axes[1].set_title(\"Distribution à différents instants\")\n", "axes[1].legend()\n", "fig.tight_layout(); plt.show()\n" ] }, { "cell_type": "markdown", "id": "0540fb0c", "metadata": {}, "source": [ "**Résultat attendu.** Les trois clusters initiaux fusionnent en\n", "distribution unimodale concentrée près de $\\bar X_0$.\n", "\n", "**Lecture du graphique.** Gauche : la heatmap montre l'horizon de\n", "fusion. Droite : trois distributions superposées (initiale tri-modale,\n", "intermédiaire, finale unimodale).\n", "\n", "**Conclusion.** Le primitive `consensus_dynamics` modélise toute\n", "dynamique de moyennage par interaction (vote pondéré, opinion\n", "publique, scoring collectif).\n" ] } ], "metadata": { "kernelspec": { "display_name": "rhftlab", "language": "python", "name": "rhftlab" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.11.13" } }, "nbformat": 4, "nbformat_minor": 5 }