{ "cells": [ { "cell_type": "markdown", "id": "d78c4190", "metadata": {}, "source": [ "# 11 — PDE solvers (Fokker–Planck, Poisson)\n", "\n", "CPU-only finite-difference solvers. Doc page:\n", "[pde.rst](../../docs/source/algorithms/pde.rst).\n" ] }, { "cell_type": "code", "execution_count": 1, "id": "e2943612", "metadata": { "execution": { "iopub.execute_input": "2026-05-12T14:05:20.836605Z", "iopub.status.busy": "2026-05-12T14:05:20.836332Z", "iopub.status.idle": "2026-05-12T14:05:21.554858Z", "shell.execute_reply": "2026-05-12T14:05:21.553141Z" } }, "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": "defeff96", "metadata": {}, "source": [ "## Cellule 1 — Diffusion d'une gaussienne (Fokker–Planck 1-D)\n", "\n", "**Théorème (Fokker–Planck / Kolmogorov forward).** Pour la diffusion\n", "$dX_t = \\mu\\,dt + \\sigma\\,dW_t$, la densité $p(t, x)$ vérifie\n", "$$\\partial_t p = -\\mu\\,\\partial_x p + \\tfrac{1}{2}\\sigma^2\\,\\partial_{xx} p.$$\n", "\n", "**Équation pivot (densité gaussienne).**\n", "$$p(t, x) = \\frac{1}{\\sqrt{2\\pi(\\sigma^2 t + s_0^2)}}\n", " \\exp\\!\\left(-\\frac{(x-\\mu t)^2}{2(\\sigma^2 t + s_0^2)}\\right).$$\n", "\n", "**Ce que la cellule vérifie.** Le primitive\n", "`fokker_planck_constant(mu, sigma_sq, init_sigma, ...)` reproduit la\n", "gaussienne analytique pour $\\mu = 0.1$, $\\sigma^2 = 0.16$,\n", "$s_0 = 0.2$, $T = 1$.\n" ] }, { "cell_type": "code", "execution_count": 2, "id": "211170d1", "metadata": { "execution": { "iopub.execute_input": "2026-05-12T14:05:21.558941Z", "iopub.status.busy": "2026-05-12T14:05:21.558558Z", "iopub.status.idle": "2026-05-12T14:05:22.231875Z", "shell.execute_reply": "2026-05-12T14:05:22.230545Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Erreur sup |p_num - p_ana| = 6.454e-04\n", "Masse finale (≈ 1) = 1.0000\n" ] }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAABQ0AAAGtCAYAAAC811JkAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjguNCwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy8fJSN1AAAACXBIWXMAABDrAAAQ6wFQlOh8AAEAAElEQVR4nOzdd3wUZf4H8M/MbEnvEUIChN6rUkRK6II0adKUIniIwEmxoAcBUcpR9HenWDgEpSiKoCeCogKniIggKiBI75ESUgipu/P8/tjsZmd3dndme5Lv+155SWafeebZZ/eS2U+ewjHGGAghhBBCCCGEEEIIIaQUH+gGEEIIIYQQQgghhBBCgguFhoQQQgghhBBCCCGEEAkKDQkhhBBCCCGEEEIIIRIUGhJCCCGEEEIIIYQQQiQoNCSEEEIIIYQQQgghhEhQaEgIIYQQQgghhBBCCJGg0JAQQgghhBBCCCGEECJBoSEhhBBCCCGEEEIIIUSCQkNCCCGEEEIIIYQQQogEhYaEEEIIIYQQQgghhBAJCg0JIYQQQgghFcIbb7yB1atXB7oZhBBCSIWgCXQDCCGEEEIIIcRT8+fPx7vvvos9e/YEuimEEEJIhUChISGEEEIIIaRcu3XrFjiOw3fffYfU1NRAN4cQQgipEGh6MiGEqDR//nxwHIcLFy64XUdaWpqqDzXr1q0Dx3HYu3ev29fkOA7jxo1z+3xv2rNnD9q3b4/IyEhwHId169Zh7969ln/7g7+vRwghxHcSEhKQnp4ekMBw3Lhx4DjOZ/WrvWeojOh3evC5cOECOI7D/PnzJceD6X6UEOIahYaEEDtFRUV4++230aNHDyQmJkKr1SIuLg6dOnXCP//5T2RlZQW6iRXSp59+andjVZ4UFBQgIiICL7zwgtNyWVlZGDx4MO7evYsVK1Zg/fr16Ny5s59aSQghpKIwB0XOvk6ePBnoZioyf/58fPrpp4FuRlDbu3cv5s+fj+zsbL9f+7XXXqNAkhBSKdH0ZEKIxKVLl9C/f3/8/vvv6NixI2bMmIGkpCRkZ2dj//79mDt3Lj755BP89NNPgW5qwPzjH//A888/D71e73Ydu3btAmNMcuzTTz/Fe++9JxscPvrooxgxYgR0Op3b1/S1r776Cnfv3sXgwYOdlvv555+RnZ2NNWvWSMqmpqaioKAAWq3W100lhBBSgQwdOhQDBw6UfaxatWp+bo17FixYgLFjx2LQoEF2j8ndM1RGe/fuxYIFCzBu3DjExMRIHuvcubNP7yFee+01pKam0gg5QkilQ6EhIcSiqKgI/fr1wx9//IGNGzdi1KhRksdnzJiBK1eu4PXXXw9QC4ODRqOBRuPZj0+14Z8gCBAEwaNr+trWrVtRo0YN3HfffU7L/fXXXwCAuLg4yXGe5xESEuKz9hFCCKmYWrRogTFjxgS6GT4TzH8wDBZ0D+Fb5kDW0/tfQkj5Q9OTCSEW7777Lo4ePYqnn37aLjA0S0lJwZIlSyTHTp48iREjRqBKlSrQ6/WoXbs2Zs+ejdzcXEk5Z2sByq3Xk5qairS0NPz222/o1asXIiMjER0djcGDB+Ps2bN2dTDGsHr1arRt2xbh4eEIDw9Hhw4dZKf7fPnll+jWrRvuuecehISEICUlBX369MH333/vvJMcPA/zsVOnTmHevHmoWbMm9Ho9GjVqhI0bN7p8vqmpqXjvvfcAQDKtyjwVRm5Nwzt37mDu3Llo3749EhMTodPpkJqaiqlTp+L27dsun4fZnj170KdPH8TGxlravHTpUhiNRsV1lJSU4PPPP8fDDz/stBzHcRg7diwAoGvXrpbnCcivR2R9bP369WjevDlCQkKQnJyMF154wa6NJ0+exFNPPYWmTZsiOjoaoaGhaNasGZYvX674+ah5HxFCCCkfOnbsiOjoaBQUFNg9dvnyZQiCgEcffVRyfOPGjWjXrp3ld0H79u3x4YcfKrqes3UIrdd0M/+eA4D33ntPcg/gqq6ffvoJ/fr1Q1xcHEJCQtCwYUMsXLgQxcXFknJq71EcUXLvZL7WH3/8gZkzZyI5ORkhISFo0aKFbN/t2rULI0eORJ06dRAaGoqoqCh07twZn3/+uaRcWloaFixYAACoVauWpY/MszMcrWlYWFiIBQsWoGHDhggJCUFcXBz69++PQ4cOKXrO5nX5Ll68iP/973+S18f6PvDs2bMYN24cqlWrBp1Oh5SUFEyZMgW3bt2S1GfunxMnTmD27NlITk5GWFgYOnTogIMHDwIAfvjhB6SlpSEiIgKJiYmYOXMmDAaDpB7zOpqZmZmYMGECEhMTERoaivvvvx/ffvut7HNR+n42v98uXryIESNGICEhAWFhYbhy5QoA0/3niy++iAYNGkCv1yMuLg6DBg3C77//rqhPHfHG/SghxPvoTwWEEIuPPvoIADB58mTF5/z666/o3LkzDAYDpkyZgtq1a2Pfvn1YsWIFvv32W/zwww8ICwtzu01XrlxB165dMWDAAPzzn//EiRMn8NZbb2H//v04fPgwkpOTLWXHjx+P999/HwMHDsTo0aMBmEa/Pfzww3jzzTctz+u7775Dv3790LhxYzzzzDOIj4/HX3/9hf379+PIkSPo1KmT2+0dO3YsOI7D9OnTwfM8Vq1ahTFjxqBOnTpo3769w/Nee+01rFy5Et9//z3Wr19vOd6hQweH51y9ehXvvPMOBg8ejEceeQQhISE4ePAg3n77bezbtw8///yzy2k67777LiZOnIhWrVrh+eefR0xMDH744QfMmTMHR44cUfzhaPfu3cjOzsaQIUOcllu/fj2+//57vPPOO3jhhRfQqFEjRfW//fbbuHr1KiZOnIjExERs3boVixcvRlRUFJ5//nlLub1792LPnj3o168fatWqhcLCQuzYsQPPPPMMzp07h1WrVrm8ltL3ESGEkOCQn59vF84AplH6sbGxAEwhy6RJk7B161bLz3az9957D6IoSqaezps3DwsXLkSzZs2Qnp4Oxhg2bNiAkSNH4ty5cy7X71WqUaNGWL9+PR599FF06tQJTzzxhKLzvvzySwwYMABRUVGYMmUKqlatih07dmDevHnYv38/vvjiC/C8dHyIu/cogPp7p8ceewyMMcycORNFRUVYt24dRo4ciby8PEycONFSbt26dbh+/TrGjBmDlJQU3Lx5E++99x4GDBiADz/8EI888ggA4MUXX0RcXBy2bduGV199FQkJCQCA5s2bO2yz0WhE3759sWfPHvTt2xdTp07FX3/9hTfffBMdO3bEzp070bVrV6fPOzExEevXr8eMGTOQkJCAF198UfIYYLoXTktLQ1hYGCZMmICaNWvi9OnTePPNN/Htt9/i4MGDiI6OtnstQkJC8Oyzz+Lu3btYvnw5evbsifXr12PcuHGYOHEiRowYgZ07d+LVV19FYmIi5syZY9e+3r17IyoqCnPnzsXt27fx9ttv48EHH8Tnn3+OBx980FJO7fs5Ly8PnTp1Qps2bbBgwQLcuXMHERERyM3NRceOHXHmzBmMHTsWLVq0QFZWFlavXo37778f33//PVq3bu20T+V4636UEOIDjBBCSsXHx7PIyEhV53Tq1IlxHMf27dsnOb5gwQIGgC1cuNByLD09nQFg58+ft6unS5curGbNmpJjNWvWZADYsmXLJMe3bt3KALCxY8dajn366acMAFu5cqVd3f3792dRUVEsNzeXMcbYjBkzGAD2119/qXquzp6H+VifPn2Y0Wi0HL906RLTarVs5MiRLp/v2LFjmaMfy2vXrmUA2J49eyzHioqKWHFxsV3Z1atXMwDso48+khy37bOMjAwWEhLCBg0axERRlJRdvnw5A8D27t0r2x5bkyZNYlWqVJE8d0fkngtjjO3Zs4cBYGvXrrU7VrVqVXb79m3LcaPRyBo1asSSkpIkdeTl5clec9SoUUwQBJaRkeH0emreR4QQQgLL/HPc0Zf179mcnBwWFhbGevToYVdP3bp1Wc2aNS2/C0+dOsV4nmctWrRgd+/etZTLy8tjTZs2ZYIgSO4B5H5/y/2eN7P9fezomKO6DAYDS01NZaGhoez06dOSsuPHj2cA2Pr16y3H1N6jyFF672S+1r333ssKCwstx7Ozs1mNGjVYZGQky8nJsRyX+7199+5dVq9ePda4cWPZuuXuI+V+p69Zs4YBYJMmTZKU/fPPP5ler2f16tVTdN/CmOmetEuXLrKPtWzZktWqVYtlZmZKjv/0009MEAQ2f/58u+dg+1ps27aNAWCCILADBw7Y1W97v2N+z/Xv39/uNY2IiGC1a9e2HFf7fu7SpQsDwJ577jm75/r0008zrVZr18asrCyWkpLC0tLSLMfOnz/PALD09HRJWV/ejxJCvI+mJxNCLHJychAVFaW4/M2bN/H999+jZ8+eeOCBBySPzZ49G+Hh4fjkk088alNkZCSmTZsmOfbwww+jUaNG2LZtG0RRBGAawRYaGopHHnkEt27dknwNGjQIubm5+PHHHwHAsnj2xx9/jJKSEo/aZ2vGjBmSv+xXr14dDRo0wKlTp7x6HcC0xpF5JKHBYEB2djZu3bqFbt26AYDLzWq2bNmCwsJCTJw4EZmZmZI+69evHwDT5iauiKKIzz77DAMHDrQb1eAtEyZMsIwWAUxrF3Xv3h0ZGRnIy8uzHA8PD7f8u6ioCLdv38atW7fw4IMPwmg0upyOpOZ9RAghJDiMGzcOX3/9td2X9dTbqKgoDB48GLt378bly5ctx/ft24czZ87gscces0wJ/vTTTyGKIp577jnJbInw8HA888wzMBqN+Oyzz/z3BG388ssvuHDhAh599FHUrVtX8ph5uq7c/Zcn9yhq751mzZol2TAuOjoaTz31FO7cuYOvv/7actz69/bdu3eRmZmJ/Px8dOvWDX/88Qfu3Lnj8lqOmPvAPK3ZrH79+hg1ahROnz6No0ePul0/ABw7dgy//vorRowYAVEUJfcNtWvXRt26dWXvpWxfiy5dugAA2rVrh3bt2knKdu7c2e5+x2zOnDl2r+mjjz6Kc+fO4ciRIwDcfz8/99xzku9Z6ejE+++/H3Xq1JE8V4PBgF69euH777+XXQLAGW/djxJCfIOmJxNCLKKjo1XdnJ07dw4A0KxZM7vHwsLCUKdOHdm1B9WoU6eO7C7FjRs3xokTJ3Dz5k1UqVIFJ06cQEFBgWS6sq3r168DAKZOnYrPP/8c06ZNw/PPP4/7778faWlpGDVqFGrVquVRe2vXrm13LD4+HhcvXvSoXkdWr16NVatW4dixY3br3bha1/DEiRMAYLkhk2PuM2e+//573Lhxw+WuyZ5w1K8AkJmZiYiICACmKWoLFy7Ehx9+KLt2ppI+Ufo+IoQQEhzq1KmDHj16uCw3fvx4bNiwAe+//75lmql5zWDzeruA8/sb8zFP72884ax9NWrUQFRUlGz7PLlHUXvv1LhxY4fHzpw5Yzl24cIFzJ07Fzt27JD9HZ2VlYXIyEiX7ZNz7tw5xMfHIykpye4x69exRYsWKCgoQE5OjqRMRESE5f7CEfO91OLFi7F48WLZMnL9bnvM/IdRubLmx6zvd8xc9fO9997r1vs5MTFR8sdaAJYg77vvvrNMzZZz69YtVK9e3eHjtrx1P0oI8Q0KDQkhFs2aNcPevXtx5swZu79ce4P1ot62bAMvtURRRHR0NLZs2eKwTJMmTQCYdu396aefsH//fnzzzTf4/vvvsWDBAixYsADr16+3rJ/jDkc7HDPG3K7Tkf/7v//D008/jR49emDVqlWoVq0a9Ho9DAYD+vTpYxmF6Yj58f/85z+oWbOmbJlq1aq5bMfWrVsRExNjGeHoC852jrbu29GjR+Ozzz7DxIkT0blzZyQkJECj0eDw4cN4/vnnFfWJ0vcRIYSQ8qVr166oWbOmJTQsKCjAxx9/jE6dOqFOnTpevZajex5P73c8ubYn9yi+uHfKy8tD586dkZOTg7///e9o3rw5oqKiwPM83n33XXzwwQcuf297y+bNmzF+/HjJsfT0dMvITUfM7Zs2bRoGDBggWyY0NNTumKPXQun9jq/JrUdufq6dO3fG3LlzHZ7rLFCU4637UUKIb1BoSAixGDZsGPbu3Yt33nkH//znP12WN/819Pjx43aPFRQU4Ny5c5LwMS4uDoBptJftLoDnzp2DTqezq+fs2bMoKiqyG234xx9/ICoqynJjUr9+fZw8eRKtWrWyjEBzhud5dOzYER07dgRg2jmxdevWeO655zwKDT3hLFSV89577yE1NRVfffWVZGqK+S+2rtSvXx+A6S/YSkZoyGGMYdu2bejfv7/LTVd8LScnB5999hnGjBmDd955R/LY6dOnFdWh9n1ECCGk/OA4Do899hgWLlyI/fv34/z588jNzZVsgALAEiAeP34cTZs2lTx27NgxSRlH4uLicPjwYbvj5lFfnrBun63Lly8jJyfH6yEooO7e6Y8//kCLFi3sjgGw3Buap4qvWbMGEyZMkJRdvXq13fXV3ifVqVMHJ0+exPXr11GlShXJY7avY+/evSXTpgHpqD9H1zbfSwFw+17KE3/88Qfuv/9+u2NAWT974/0MmMLAmJgYZGVlefW5euN+lBDiO7SmISHE4vHHH0fTpk2xcuVKbN68WbbM1atXLbvVJiYmolOnTvjqq69w8OBBSbkVK1YgLy9PsptugwYNAADffPONpOyGDRuQkZEhe707d+7g3//+t+TYtm3bcOLECQwaNMgSlj322GMAgGeffVb2L7HW0xpu3rxp93j16tVRpUoVZGZmyrbDH8xTTlxNoTUz/zXa+q/wjDG89NJLis4fPnw4QkJCMH/+fNl1cgoKClxOV//5559x+fJln05NVsr8XrB9/e/cuYOVK1cqqkPN+4gQQkj5M27cOHAch3Xr1mHdunUIDw/HsGHDJGXM9xfLly9HYWGh5Xh+fj6WLVsGQRAwcOBAp9dp0KAB7ty5Y3d/tGzZMtnyERERin//t2rVCqmpqVi/fr3d1GLzPYD1/Zc3qL13WrFiBYqKiizf5+Tk4I033kBERAR69uwJoOw+xvb37e+//45PP/3Urk6190nme5OFCxdKjp85cwabNm1CvXr1LLsvJyUloUePHpIv69DQ0evTsmVLNGvWDGvWrJH9oy1jTLbvvGXx4sWS+8DLly9j/fr1qFWrFlq1agXAO+9nwHSfNWbMGBw9ehTvvfeebBl37pO8cT9KCPEdGmlICLHQ6/X44osv0K9fP4wYMQKrVq1Cnz59UKVKFcsGEJ9++ilatmxpOedf//oXOnfujG7duuHJJ59E7dq1sW/fPmzatAktWrTAzJkzLWV79OiBxo0bY+7cubhx4wbq1auHQ4cO4b///S/q1q0ru7B2nTp1sGjRIhw/fhzt2rXDiRMn8OabbyIxMREvv/yypdyQIUMwadIkrF69Gr/99hsGDRqEqlWr4tq1azh8+DB27Nhhqf+JJ57ApUuX0KtXL6SmpsJgMGD79u04fvw4pk6d6rsOdqF9+/Z4/fXXMWXKFDz00EPQarVo166dw3UWhw0bhueeew69e/fG0KFDkZ+fj23btqG4uFjR9ZKTk/H2229jwoQJaNCgAcaOHYvatWvj9u3bOHnyJLZu3YpPP/0UaWlpDuv45JNPEB4ejt69e7vzlL0qMjISDz74IDZu3Ai9Xo927dohIyMDa9assRth4Iia9xEhhJDg8Ntvv2HDhg2yj6WlpSElJcXyfe3atdGpUyd88MEHyM/Px6OPPmq3TlzdunXx4osvYuHChWjfvj1Gjx5t2QTi6NGjeOWVV+xmTNj629/+hhUrVmDQoEH4+9//jrCwMHzxxRd26+aZtW/fHt988w2WLl2KGjVqgOM4jBgxQrasIAh48803MWDAALRp0waTJ0/GPffcg507d2LHjh3o3bs3Ro0a5bR9arlz79ShQweMGjUKxcXFWLt2LS5duoS33nrLsuneAw88gKSkJMyaNQvnzp1DamoqTpw4gdWrV6NZs2Z2IzXbt28PwLRBx+jRoxESEoKmTZvajZ4ze+yxx7Bhwwa88cYbuHTpEnr37o2//voLb775JhhjePvttxWPXmzfvj3WrFmDuXPnolGjRuB5Hv3790d4eDg2bNiAbt26oXXr1hg3bhyaNWuGkpISXLhwAZ9++inGjh3rcpqzu65du4YePXrg4Ycfxu3bt/HWW2+hoKAAr7/+uuWPqd54P5u98sor2L9/P8aNG4dPP/0UnTp1Qnh4OC5duoRvv/0WoaGh2LNnj6rn4I37UUKIDwVgx2ZCSJArLCxkb775JuvatSuLj49nGo2GxcbGsk6dOrHly5ez7OxsSfk//viDDR8+nCUkJDCtVstq1qzJZs6caVeOMcbOnDnD+vbty8LDw1lkZCTr27cvO3HiBOvSpQurWbOmpGzNmjVZly5d2K+//sp69uzJIiIiWGRkJBs4cCA7ffq0bNs3bdrE0tLSWHR0NNPpdKx69eqsT58+7M0337SU+eSTT9jAgQNZ9erVmV6vZ7Gxsaxt27bsrbfeYkaj0WX/pKenMwDs/PnzTo+ZyT03uWNGo5HNmjWLJScnM57nGQC2du1axhhja9euZQDYnj17JOWXLl3K6tWrx/R6PatWrRp78skn2e3btxkANnbsWEn9cscYY+zAgQNs6NChrEqVKkyr1bIqVaqw+++/ny1cuJBlZmY67Yu6deuyIUOGOC1jS+65MMbYnj17JM/Z0TEzuT7PzMxkf/vb31hycjLT6/WsQYMG7J///Cf75ptvVNWt5H1ECCEksMw/x519bdu2ze488+8hud9F1tavX8/atm3LQkNDWWhoKGvXrh3btGmTXbmxY8cyuY9VX331Fbv33nuZTqdjiYmJbPLkySw7O1v29/GpU6dYz549WWRkpKVtZnL3DIwx9uOPP7K+ffuymJgYptPpWP369dlLL73EioqKJOXU3qPIUXrvZL7W8ePH2YwZM1hSUhLT6XSsWbNmbOPGjXb1Hj16lPXt25fFxsaysLAw1r59e/bZZ585bPPSpUtZrVq1mEajYQBYeno6Y8zx7/SCggKWnp7O6tevz3Q6HYuJiWH9+vVjBw8edPmcrV2/fp0NHjyYxcbGMo7j7Np2+fJl9tRTT7HatWtbrtOsWTP297//nR0/ftyuf+ReC0f3aXLnmN9zt27dYuPGjWMJCQlMr9ezdu3asa+++kr2OSh9P7t6T+Tn57NFixaxFi1asNDQUBYeHs7q1q3LRo8eLbn2+fPnJa+Rq+fpyf0oIcR3OMb8uKIqIYSokJqaitTUVOzduzfQTSEyfv/9d7Ro0QIbN270+ogGQgghhJQ/8+fPx4IFC3D+/HnFo9eIeuPGjcN7773n181RCCGVE61pSAghxC1FRUVIT09Hv379At0UQgghhBBCCCFeRmsaEkIIcUubNm3Qpk2bQDeDEEIIIYQQQogP0EhDQgghhBBS4ezYsQNdunRBYmIi9Ho9ateujZkzZzrciIIQQgghhEjRmoaEEEIIIaTC2bBhA37//Xe0a9cO8fHxOHbsGObPn4/WrVtj165dgW4eIYQQQkjQo9CQEEIIIYRUCqtXr8YTTzyBq1evolq1aoFuDiGEEEJIUKPpyYQQQgghpFKIj48HABQXFwe4JYQQQgghwY9GGhJCCCGEkArLaDSipKQEf/zxByZMmICaNWvis88+C3SzCCGEEEKCHu2erFJhYSGOHj2KxMREaDTUfYQQQgipGAwGA27evIlmzZohJCQk0M3xmpo1a+Lq1asAgAcffBCbNm1yWj43Nxe5ubmW7wsLC3H58mXUqlWL7v0IIYQQBO6eITs7G3l5eR7VERERgZiYGO80qBKgkYYq/fzzz2jbtm2gm0EIIYQQ4hMHDx5EmzZtAt0Mr/n9999x9+5dHD9+HC+//DJq166Nr7/+GoIgyJafP38+FixY4OdWEkIIIeWPP+8ZsrOzUadOddy+7VloGBcXh7Nnz1JwqBCFhipduHABtWrVwsGDB5GUlOSTaxiNRmRmZiI+Pt7hDS1xD/Wtb1C/+gb1q29Qv/oG9avv+KtvMzIy0LZtW5w/fx6pqak+u04g/fbbb2jZsiU+/vhjDB06VLaM7UjDy5cvo0OHDtDrQ2E0iv5qaqWk0WjQqFFDnDhxEgaDIdDNqdCor/2H+tp/qK/9RxB4FBUV+PWe4cqVK6hevTr2H0hH1aQYt+r4KyMbHdovwOXLl5GSkuLdBlZQNMdCJfO0lKSkJJ+9yYxGI/R6PRITE+mDl5dR3/oG9atvUL/6BvWrb1C/+o6/+7YiT8Ft3rw5tFotzpw547BMVFQUoqKi7I4bjSJ9CPUxjuOg0WhgNBqpr32M+tp/qK/9h/ran0z3CoG4Z6hSNQLJyfa/p5VgjN4XatHuyYQQQgghpFL46aefUFJSgtq1awe6KYQQQgghQa/i/imZEEIIIYRUWoMHD8Z9992H5s2bIzQ0FL/99huWLVuG5s2bY9CgQYFuHiGEEELcwJgIxoxun0vUodCQEEIIIYRUOG3btsXmzZuxZMkSiKKI1NRUTJo0CbNnz4ZOpwt08wghhBDiBpEZILo5zdjd8yozCg0JIYT4FGMMt27dQmFhIYxG9/4q6O32FBYWoqCgABzHBbo5FQb1q+942reCICAkJAQJCQmV6rV5/vnn8fzzzwe6GYQQQgjxJmZwf21CCg1Vo9CQEEKIzzDGcPXqVdy5cwc6nS4oNsjgOA56vb5ShSf+QP3qO572bXFxMfLy8lBUVITk5GR6jQghhBBCiCJBERp+/PHH2LBhAw4fPoysrCzUq1cP06dPx/jx453e2DLGsHTpUqxatQo3b95Ey5Yt8eqrr6J9+/aScteuXcO0adOwa9cuaLVaDB48GCtXrpTdGY8QQoj33Lp1C3fu3ME999yD+Pj4QDcHgOl3h8FggEajofDEi6hffccbfZuZmYkbN27g1q1bSExM9HILCSGEEEL8gzGj2yMN3V0LsTILit2TV65cibCwMKxYsQKff/45+vTpg0mTJuGll15yet7SpUuRnp6OGTNmYPv27UhKSkKvXr1w7tw5S5mSkhL07t0bp06dwqZNm/Dmm2/iq6++wqhRo3z9tAghpNIrLCyETqcLmsCQkMoqPj4eOp0OhYWFgW4KIYQQQojbmGjw6IuoExQjDT///HMkJCRYvu/WrRsyMzOxcuVKzJ07Fzxvn20WFhZi8eLFmDVrFmbMmAEA6NSpE+rXr4/ly5dj1apVAIAtW7bg+PHjOHHiBBo0aAAAiI2NRe/evXHw4EG0bdvWD8+QEEIqJ6PRGBRTkgkhprUNg2FdUUIIIYQQ9xk9WJuQ7oPUCoqRhtaBoVmrVq2Qm5uLu3fvyp6zf/9+5ObmYvjw4ZZjOp0OgwcPxo4dOyzHdu7ciebNm1sCQwDo2bMn4uLiJOUIIYQQQgghhBBCSPBipRuhuPtF1AmK0FDOvn37kJycjMjISNnHT548CQBo2LCh5HijRo1w6dIlFBQUWMrZluE4Dg0bNrTUQQghhBBCCCGEEEIIKRMU05Nt7du3Dx9++CFWrFjhsExWVhb0ej1CQkIkx2NjY8EYQ1ZWFkJDQ5GVlYWYmBi782NjY3H79m2XbcnNzUVubq7l+4yMDACmKXe+muJjNBohiiJNIfIB6lvfoH71jYrQr4wxcBwHxligm2LBGLN8+cqNGzdQt25d7N+/H02bNrUcX7NmDf75z3/i0qVLaNCgAV5++WX069fPJ22YNGkSAGD16tU+qd+WP/q1svJm3zLGHP5MKc8/awghhBBSSYgGQCxx/1yiStCFhleuXMEjjzyCrl27Yvr06YFuDlauXIkFCxbYHc/MzIRer/fJNUVRRE5ODgDIrudI3Ed96xvUr74hiiIu/nUbf90pRrXoENcnBKHCwkLo9XoYDMHzC9o6NPHVLr8vv/wyOnfujIYNG1qe++bNm/HEE0/g+eefR9euXfHxxx9j8ODB2LNnD9q1a+f1NsyaNQstW7bEzJkzUa9ePa/Xb8sf/VpZeatvRVFEUVERbt68Kft4Zmam23UTQgghhPiDJ9OMaXqyekEVGmZnZ6NPnz6Ij4/HJ5984jR8iI2NRVFREQoLCyWjDbOyssBxHGJjYy3lzGGGtaysLFSvXt1lm2bOnImJEydavs/IyEDbtm0RHx+PxMRENU9PMfMHg4SEBNpAwMuob32D+tU3/riWja1/5iM2isO0bkkI0wXVj2xFCgoKwHEcNJrgabt5tJZGo/FJuJWXl4e1a9fi/ffflzzvhQsXYsSIEXjllVcAAD169MCxY8ewaNEifPHFF15vR8OGDfHAAw/g7bffxmuvveb1+m35ul8rM2/1Lc/zCAkJcXj/UlRU5HbdhBBCCCF+IRrdHzEo0qwKtYLmU1xBQQH69euHnJwc/Pjjj4iOjnZa3rxO4Z9//okWLVpYjp88eRI1atRAaGiopdzRo0cl5zLG8Oeff6Jnz54u2xUVFYWoqCi744Ig+DQc4Xne59eorKhvfYP61TvM4QDHcYgO1UNkgEFkyC4wIjLUN6ObfckccARbiMRxnOVLqXHjxuHQoUNYtmwZnnnmGZw5cwZNmjTBG2+8gfbt21vKffLJJwCAvn37Wuo/d+4cTp06haVLl0quOWLECDzzzDMoLi5WPHo9NzcXzZo1Q5s2bbBlyxbL8cmTJ+Pjjz/G0aNHUa1aNQDAsGHDMG/ePKxYscIvwa07/UqU8Vbfchzn8Oc0/fwmhBBCCCHWgmIeocFgwPDhw3HixAl8+eWXSE5OdnlOhw4dEBUVhY8//thyrKSkBFu3bkXfvn0tx/r06YPffvsNp0+fthz79ttvkZmZKSlHCCHB4PDFLKw/cBH5xQYkx4ZiQNMEPJVWB9XjwgLdNALTaPMpU6bgmWeewUcffQS9Xo/evXvjxo0bljLffPMNWrduLRkF72zzruLiYpw/f15xG6KiorB27Vps3boV69evBwDs3LkTb7/9NlatWmUJDAHT78pbt27h119/defpEkIIIYQQElxEg2dfRJWgCA2nTJmC7du348UXX0Rubi4OHDhg+TJPlenevTvq1q1rOSckJARz5szB8uXL8X//93/YvXs3Ro4ciczMTMyePdtSbujQoWjSpAmGDBmC7du346OPPsKECRPw0EMPoW3btn5/roQQ4syBc5k4kXEH2383bbrU4J4wxITpAtwq37iVV4RbeUUoMkinCWSWHi8skR7PuluMW3lFKCiWHs/JL8GtvCLkF0tvAnIKTMfziqTH7xS6uXAygNu3b2PNmjUYO3YsBgwYgJ07d4IxhldffdVS5ueff0bz5s2lbc/KAgC7jbnMS2ko2ZjLWrdu3TBt2jRMmzYNv/76Kx5//HGMHDkSjzzyiKRckyZNIAgCfvrpJ1X1E0IIIYQQEpyMADO49wWanqxWUExP3rVrFwDTou22zp8/j9TUVBiNRruF9J977jkwxrB8+XLcvHkTLVu2xFdffYXatWtbymi1Wnz55ZeYPn06Ro4cCY1Gg8GDB0s+4BFCSDBgjKF2YgREBjRLdr5EQ0WwYtcpAMDYDjXRsGrZMhCr9p5FfrERw+5LQesasZbj7/5wHrfyitGveRIeqJtgOb7x4EVcvl2Arg0S0atJVcvxbb9cwZ/X89C+dhwGtiwbwb7z2F8Y3DLJrTZHR0ejW7duku979OghCeUyMjJ8tuattSVLlmDXrl1o3749EhIS8MYbb9iV0Wg0iImJQUZGhs/bQwghhBBCiK9xogGcmyMG3T2vMguK0PDChQsuy+zdu9fuGMdxmDNnDubMmeP03OTkZMsaU4QQEqw4jkPfZmVhlnmDGQDY8+cN/PnXHbSrFYdWVkEa8S+5MLBKlSo4ceKE5XvzjtHWzCMKc3JyULVqWbBpHoEYFxenui2hoaEYNGgQlixZglGjRlmuYUuv16OgoEB1/YQQQgghhJDKLShCQ0IIIc6dvZGHi5n5iAvXVZjQcFav+gCAyBDpr6IpaXXAAETopccnPFALRsYQbrOL9Oi2NVEiigjTSTdxeLh1CkqMIkK00uN9mlaFu27evGl37Pr160hKKgt74+LikJ2dLSljXsvw5MmTaNCggeX4yZMnodPpJCPklfr999+xcuVKtGrVCv/+978xfvx4NGrUyK5cdnY24uPjVddPCCGEEEJI0PFkbUIaaahaUKxpSAghxLnmKTFoWyu2Qk1bTojQIyFCD71GGurFlx63Dftiw3VIiNAj1CYcjA7TIiFCjzCbMDE61HTcNnyMDNG63eacnBzs3r1b8v0333yDdu3aWY41aNDAbmOT2rVro379+pLNuwBg8+bN6N69O3Q6detWFhcX49FHH0Xbtm1x4MABNG3aFI899pjdMh43b95Efn6+JKgkhBBCCCGk3BKNHmyEQmsaqkUjDQkhJAjkFJRgw4GLqJ0Qji4NEu0CsLa14gCon8JKvCsuLg6PP/44FixYgJiYGCxZsgSMMTz99NOWMg888AA++ugju3Pnz5+P0aNHo06dOujatSs2b96Mn376Cd99952kHMdxGDt2LNatW+ewHfPmzcPZs2fx22+/QafT4f3330fr1q3x8ssvY/78+ZZyhw4dAgB07NjRo+dNCCGEEEJIMOCYARxzc01DN8+rzGikISGEBIFzN/NwJasAP5y9BQ1PP5qDVVJSEl5//XUsWbIEw4YNQ2FhIb766itUqVLFUmbo0KE4e/YsTp8+LTl35MiRWL16NTZt2oTevXvjhx9+wLZt23D//fdbyty9excAJOse2tq/fz+WLVuGFStWoE6dOgCARo0aYfHixXjllVcsQSEA7Ny5E506dZK0jxBCCCGEkHKLiaWjDd34YmKgW1/u0EhDQggJAvdEheD+OvEoNojQaZyHhqLIwPOcn1pGbD300EN46KGHHD7eunVrtG7dGh988AHmzZsneezxxx/H448/7vDcAwcOQKfTYerUqQ7LdOjQQbJJjtnTTz8tGfFoMBiwZcsWLFmyxMmzIYQQQgghhBB5FBoSQkgQSI4JRXJMqNMyl2/n48tjf+FWXhGe79MQHEfBYbCaN28ennzySTz33HN2Oyk788MPP2Ds2LFISUnxuA2bNm1CREQERo0a5XFdhBBCCCGEBANONIBzc0MTd8+rzCg0JISQckIjcDh3yzR9NSOnENVchIwkcAYOHIjTp0/j8uXLqFu3ruLzbEcmeoLnebz77rvQaOhXPSGEEEIIqSDMU43dPZeoQp8kCCGknKgaFYIu9ROREKFDZAj9+PY3ZxuTyJk9e7ZvGqLQmDFjAnp9QgghhBBCvM68e7K75xJV6FMnIYQE2P9O3cSJjFzUrxKBbg0db1jBcRwebOp4gwxCCCGEEEIIIcRbKDQkhJAAu5KVj4uZ+YgJ1Qa6KYQQQgghhBAStDjRCM7NEYPunleZUWhICCEB1iIlBjGhOqTEKl+jkDFGG6EQQgghhBBCKhfmwZqGjEJDtSg0JISQAGuaHI2mydGKyl7PLcSWw1dw845pB+UQreDj1hFCCCGEEEJIkBBF90cMiqJ321IJ8IFuACGEEOVCNAKuZBWgyCDi5p2iQDeHEEIIIYQQQkgFRSMNCSGkHIkK1SCtQSISIvSIDdcFujmEEEIIIYQQ4j+iB9OTaU1D1WikISGEBNC+07ewau8ZfP3HdUXlOY5D7yZVcW/NWETo6e8+hBBCCCGEkMrDvBGKu19qnTlzBpMnT0bLli2h0WjQtGlTl+fs3bsXHMfJfjVs2NBluREjRqhup6/QJ05CCAmgK1n5uHy7AFEhtHMyIYFy+/ZtNGvWDDNmzMDs2bMD3RxCCCGEEOIIEz3YCEX9mobHjx/HF198gXbt2kEURYgK1kVs3bo1fvzxR8mx3Nxc9OnTB3369LErv3btWkmYmJCQoLqdvkIjDQkhJICap8Sgc70ENKkWpfpcxpgPWkS84caNG4iMjMSxY8csxzZv3owhQ4YgJSUFHMdh+fLliuu7du0ahgwZgsjISMTFxWHixInIzc31RdNx4cIFhIeH48KFCz6p39fS0tLQr18/VedMnjwZaWlpFBgSQgghhBCJ/v374/Lly9iyZQtat26t6JyoqCi0b99e8nXt2jWIoohRo0bZlW/atKmkbN26db39NNxGoSEhhARQ42pR6NMsCa1qxCo+51p2Ad7YcwYLPv8DJUbaASwYvfLKK0hLS5NMX9iyZQvOnTunOtAqKSlB7969cerUKWzatAlvvvkmvvrqK9kbDm9ITU3F0KFDkZ6e7pP6g83GjRtx9uxZ/Oc//wl0UwghhBBCiAv+np7M896JzTZt2oR69eqhTZs2XqnPXyg0JISQckav4WkH5SCWl5eHNWvWYMKECZLjmzdvxpEjR/DWW2+pqm/Lli04fvw4tmzZgv79++ORRx7BmjVr8MUXX+DgwYPebLrF448/jg8++AA3b970Sf3BZPTo0Th8+DBCQ0MD3RRCCCGEEOKKeSMUd78C4Pr169i9e7fDP/r37dsXgiAgJSUFzzzzDAoKCvzcQscoNCSEkHImNkyHtAaJGHZfCqJDaS1Efxk3bhyaNm2KnTt3omnTpggJCcG9996LAwcOSMpt2bIFAOzWK3H3r5Q7d+5E8+bN0aBBA8uxnj17Ii4uDjt27FBV12uvvQadTocjR45Yjp09exYRERGYM2eO5VjHjh0RHx+PTZs2udVmd5WUlOCZZ55BjRo1oNfrkZSUhP79+yMnJ8dSJjs7G9OmTUNKSgr0ej1q1aolabvZli1b0KBBA0RERKBbt244e/as5PGioiK88MILqFmzJvR6PRo1amT3fM2v+TfffIPmzZsjNDQUXbp0wYULF3D79m0MHz4cUVFRqFOnDjZv3iw594svvkDPnj1xzz33ICoqCu3atcOXX37pxd4ihBBCCKl8OJGBE0U3v0zLO2VkZODKlSuWL18t+2O2efNmGI1Gu9AwOjoazz77LNauXYuvv/4a48aNw7///W8MGzbMp+1RgzZCIYSQANl/9haOXMpGncRwPNg0SfF5PG/aQZn4X0ZGBqZMmYL58+cjNjYWS5YsQe/evXH69Gncc889AIBvvvkGrVu3RkhIiFeuefLkScnCyAAsO6+dPHlSVV1///vf8dlnn2HMmDE4fPgwtFotHnvsMdStWxcLFiywlON5Hu3bt8fXX3+Nv//97155HkosXrwYb731FpYuXYomTZrg1q1b2LVrF4qKTCNqi4qK0K1bN1y4cAHp6elo1qwZLl++jH379knq+fXXX7Fs2TIsWbIERqMRM2fOxJgxYyQLUg8fPhz79u1Deno6GjVqhB07dmDMmDGIjY2VBL5//fUXZs2ahRdffBFarRbTp0/H6NGjERYWhs6dO2PSpElYvXo1xowZg/bt26NmzZoAgPPnz6N///6YPXs2eJ7Hzp070bdvX+zevRtpaWm+70xCCCGEkIrIkxGDpee1bdtWcjg9PR3z58/3sGGObdy4Effeey/q168vOd6qVSu0atXK8n23bt2QlJSEqVOn4uDBg3btDAQKDQkhJECuZhXgSlYBIvSV7EcxY4CxOLDXNxgAGAGNHuA4xafevn0bH3/8Mbp16wYA6NKlC6pXr45XX30VixcvBgD8/PPP6Nmzp9eam5WVhZiYGLvjsbGxuH37tqq6OI7DunXr0Lx5c7zwwgtITEzE4cOH8fPPP0On00nKtmjRAm+88YYnTVft4MGD6NWrF6ZMmWI5NmTIEMu/33//fRw5cgT79+/H/fffbzk+duxYST3Z2dk4cuQIEhMTAZimjI8fPx5XrlxBSkoK9uzZg//+97/46quv0KtXLwCm0ZsZGRlIT0+XhIa3b9/G//73PzRp0gSAaVOaadOm4bnnnsPcuXMBAG3atMHWrVvx6aefWkLWqVOnWuoQRRFdu3bF8ePH8c4771BoSAghhBASQAcPHkRSUtmgjago9ZtSKnX27FkcPHgQK1euVFR++PDhmDp1Kg4fPkyhISGEVGbNU2IQGaJBYqTe7ToYY+BUhF5BwVgMvHxPwC7PAbBM6v7HDVNwqFB0dLQlMDR/36NHD/z000+WYxkZGZawKhjVrFkTr732Gh5//HFoNBq8/PLLaNasmV25hIQE3Lp1CyUlJdBq5afBGwwGy78ZY5bvnb0nOY6DIAiyj7Vu3RrLli3D/Pnz8dBDD+Hee++VTOv+9ttv0ahRI0lgKKdly5aS16Bx48YAYAkNd+3ahbi4OHTr1k3yHHr27InJkyfDaDRa2litWjVLYAjA8hfiHj16WI7FxMTgnnvuweXLly3Hrly5ghdffBHffPMNMjIyLLud33vvvU7bTgghhBBCnGAejDRkpvOSkpKQkpLixUY5tmnTJvA8jxEjRvjlet5GoSEhhARIg6qRaFA10q1zL9/Ox6dHruJ2fjHmPtQYPF/OgsNySi4MrFKlCk6cOGH5vrCwEHq9+0GwrdjYWMmafmZZWVmoXr26W3UOHDgQU6dOhdFoxKRJk2TLmJ9DYWGhw9DQ0XFnunTpgr1798o+9uKLL4Lnebz33ntYsGABEhMT8dRTT2HevHngOA6ZmZmoVq2ay2vYjsw0j6IsLCwEANy6dQu3b9922P6MjAzLjaSjuuSOm+sXRREDBgxATk4OXnrpJdStWxfh4eGYN28eLl265LL9hBBCCCFEHscYOCa6fa6/ffDBB0hLS5OMbHTmww8/BICg2WWZQkNCCCmHOA64lmMKKO4UGhAdRhui+IPcbsLXr1+X3ATExcUhOzvba9ds2LAhjh49KjnGGMOff/7p9jToKVOmIDY2FiUlJXj66afx3nvv2ZXJzs6GTqdDZKTjYPvnn3+WtMk8Qs/ZSENn9en1esyfPx/z58/HmTNn8O6772L+/PmoXbs2Hn30UcTHx+P3339X+Cwdi4uLQ2JiosONZMzrU7rrzJkzOHLkCD799FMMHDjQcjyYdsIjhBBCCCmXRCMgurmnrxsjFPPz8y33jBcvXkRubq5l48MuXbogMTER3bt3x8WLF3HmzBnJuUeOHMGJEycwa9Ys2brHjBmDunXrWtZD3717N1599VUMGjQI9913n+q2+kLQhIZnzpzB8uXLceDAARw7dgwNGzbEsWPHnJ6zd+9edO3aVfaxBg0aWBaId1TukUcesaS4hBBSniRE6NGj0T2IDddBr3Xzl2agCDrTtOAAMU+j1Wg04ASd6xOs5OTkYPfu3ZYpyjk5Ofjmm2/w1FNPWco0aNAA58+f91p7+/Tpgw0bNuD06dOoV68eANM03czMTPTt21d1fR9++CE2b96ML7/8EoWFhRg0aBAefvhhDBo0SFLuwoULdos127K+mZH0qxemzNetWxeLFi3C22+/bRnJ2aNHD2zevBk//fQT2rVr53bdPXr0wD//+U/odDo0b97c47baMoeD1utEXrx4ET/88IPLPiWEEEIIIcHjxo0bdrsZm7/fs2cP0tLSYDQaJUvemG3atAl6vV6yRre1Jk2aYOPGjVixYgWKiopQq1YtvPDCC5gzZ473n4ibgiY0PH78OL744gu0a9cOoihCFF0PN23durVkJ0QAyM3NRZ8+fSSLmJutXbtWsgNlQkKC5w0nhBA3nLlxB18dv464cB1GtKmuOmQJ0Qro3qiKj1rnYxynah1Br2MMgABoNKo2QQFMI9Qef/xxLFiwADExMViyZAkYY3j66actZR544AF89NFHduf+8ccf+OOPPyzfHz16FFu2bEF4eLjld9bFixdRp04dzJs3D/PmzQMADB06FIsWLcKQIUOwaNEi5OfnY/bs2XjooYckiyPPnz8fCxYswPnz55Gamirb/mvXruGpp57C5MmT0bt3bwCmTUSeeOIJdOjQQTLC7tChQ+jUqZOq/vHUoEGDcO+996JVq1YIDw/H559/jqysLEtI++ijj2LVqlV46KGHkJ6ejqZNm+Lq1av47rvv8M477yi+Ts+ePdG/f388+OCDePbZZ9G8eXPcvXsXx48fx5kzZ/Cf//zHo+fRsGFDpKSk4Pnnn4fRaEReXh7S09ORnJzsUb2EEEIIIZWeKJq+3D1XpdTUVMva1I44Wnpn2bJlWLZsmcPz5syZE1QBoZygCQ379+9vmcIzbtw4HDp0yOU5UVFRaN++veTYunXrIIoiRo0aZVe+adOmQTPEkxBSud24U4QrWQW4U2gofxuZVGJJSUlYunQpnnnmGZw9exZNmjTBV199hSpVygLcoUOHYvHixZKRgQDw0UcfYcGCBZbv33//fbz//vuoWbMmLly4AKBsiq/1H860Wi2+/PJLTJ8+HSNHjoRGo8HgwYPx6quvStp29+5d6PV62Z2WzR5//HHExsZi+fLllmP/+te/sGfPHvztb3/Dtm3bAJj+onr48GHLjtD+Yg5cV6xYAYPBgAYNGmDjxo2WTUf0ej2+/fZbvPjii1i0aBFu376NlJQUjBw5UvW1tmzZgiVLlmDVqlW4ePEioqOj0bRpU4wfP97j56HX67F161Y89dRTGDZsGKpXr45//OMf2L17t6L7G0IIIYQQ4oCfQ8PKLmhCQ+vdET2xadMm1KtXL2gWjSSEEDkpMWFIa5AIDW1gUu489NBDeOihhxw+3rp1a7Ru3RoffPCBZbQgAMtafc44+ktmcnIyPvnkE6fnHjhwABMmTHAaGu7cudPuWFRUFC5evCg59vHHHyM1NdXhEiC+8swzz+CZZ55xWiY2NharVq3CqlWrZB+X+0tvy5Yt7fpVp9NJRnTKWbdund2xtLQ02dfIHPyatWnTBgcPHpQce+yxxxxei3jfxx9/jA0bNuDw4cPIyspCvXr1MH36dIwfP57+WEMIIYSUUxwTwbm5e7K7G6hUZuVsISznrl+/jt27d8uOMgSAvn37QhAEpKSk4JlnnqEFyQkhAVMjPgy9m1T1aIrxgXOZeO2bU9hw4KLrwsSv5s2bh7feegtFRUV+uV5xcTF+++03PPfccx7XJYoi/u///s+yYzEh5dXKlSsRFhaGFStW4PPPP0efPn0wadIkvPTSS4FuGiGEEEJIuRA0Iw29YfPmzTAajXahYXR0NJ599ll07twZoaGh2L17N5YvX44TJ05g+/btTuvMzc1Fbm6u5fuMjAwAgNFohNHoXrrtinlqmq/qr8yob32D+tU3XPVrYbEBf+UUoMQQvH3PGAPHcS7XAfEnxpjly93zXRkwYABOnTqFS5cuoW7dum5dRw2tVoucnBwAytrnzNWrVzF27FiMHj1aVV2e9itxzJt9a54CLydYf4646/PPP5esX92tWzdkZmZi5cqVmDt3rtdmuRBCCCHEj2h6sl9VqNBw48aNuPfee+12JmzVqhVatWpl+b5bt25ISkrC1KlTcfDgQclC8rZWrlwpWYPKLDMzE3q9bxbyF0XR8uGPbmi9i/rWN6hffcNVv0ZxRWhTLQSxoRrcvHnT381TpLCwEHq9XnY3sUCxDk3UjKRbvXo1ACh+LubNUYLpuStRtWpVPPvss4o3JTNzt1+Ja97qW1EUUVRU5PDnRWZmptt1ByO5De9atWqF1atX4+7du4iMjAxAqwghhBDiEQoN/arChIZnz57FwYMHsXLlSkXlhw8fjqlTp+Lw4cNOQ8OZM2di4sSJlu8zMjLQtm1bxMfHIzEx0eN2yzF/MEhISIAgCD65RmVFfesb1K/qFBlErNl3HjFhWvRqXAUJEfJ/gHDVr4mJQAufttRzBQUF4DgOGk3w/Loxj9bSaDQUbnkR9avveKtveZ5HSEiIw/sXf02nD6R9+/YhOTmZAkNCCCGkvKLQ0K+C51OchzZt2gSe5zFixAiv1hsVFYWoqCi744Ig+DQc4Xne59eorKhvfYP6Vbk7d0twLacI13KK0KdZNad9Vt771RxwBFuIxHGc5Yt4D/Wr73irbzmOc/jzpLz+nFFq3759+PDDD7FixQqn5RwtTUOBuO9ptVoIggCtVhvoplR41Nf+Q33tP9TX/iMIAgyGiv/HRlKBQsMPPvgAaWlpSEpKUlT+ww8/BADaZZkQ4nd6DY+0BonIzi9GTCjd1BBCiK9duXIFjzzyCLp27Yrp06c7LetoaZpGjRoG1ajpikgQBNSuXQtAxVtjM9hQX/sP9bX/UF/7j8FgwJEjhwNzcSYCbu6eDNo9WbWgufPJz8/Hjh07AAAXL15Ebm4utmzZAgDo0qULEhMT0b17d1y8eBFnzpyRnHvkyBGcOHECs2bNkq17zJgxqFu3Llq3bo2QkBDs3r0br776KgYNGoT77rvPt0+MEEJsxITp0LtJVa/U9dmvV3H+1l3cVzMOHevZr99FCCGVXXZ2Nvr06YP4+Hh88sknLtfedbQ0zYkTJ+lDqI+ZRwf9/vtRlJSUBLg1FRv1tf9QX/sP9bX/BHJ2AieK4ET3Rv5zND1ZtaAJDW/cuIFhw4ZJjpm/37NnD9LS0mA0GmUXlN+0aRP0ej2GDBkiW3eTJk2wceNGrFixAkVFRahVqxZeeOEFzJkzx/tPhBBC/CjrbjGu5xbhZl5hoJtCCCFBp6CgAP369UNOTg5+/PFHREdHuzzH0dI0BoOh3G1sVB4ZjUaUlJTQB34/oL72H+pr/6G+9g/zessBIYqAm6EhrWmoXtCEhqmpqS7feHv37pU9vmzZMixbtszheXPmzKGAkBBSIbWoHoOa8eGoHhcW6KYQQkhQMRgMGD58OE6cOIHvv/8eycnJgW4SIYQQQjxFoaFfBU1oSAghlcVHhy6jxCjivppxaFDVsx08W9WI9VKrCCGkYpkyZQq2b9+OFStWIDc3FwcOHLA81qpVK+j18jvXE0IIIYQQE+eLuhBCCPG6U3/dwbGrucgpoGkTxLdSU1MxderUQDejXLhw4QI4jrOsp6zUa6+9ZlmT2Rr1feDt2rULADBr1izcf//9ki/zjsiEEEIIKWdEVjra0J2vAE6rLqdopCEhhPgRYwxta8UhO78ESdEhgW4OqeC2bduG2FgajepLr732Gvr164e+fftKjlPfB96FCxcC3QRCCCGEeBtj7od/gVyLsZyi0JAQQvyI4zj08tLOyQBQZDDig58uISu/BEPvTaG1DYlEq1atAt2ESov6nhBCCCHEB0QRcHdpQlrTUDWankwIIeWYTuBx7tZd3LhThNt3iwPdnArv7bffRs2aNREWFoaePXviyJEj4DgO69ats5R5//330bFjR8TFxSE2NhZpaWk4ePCgpJ5x48ahadOmkmPZ2dl2df33v//Ffffdh4iICMTExOC+++6TTIV19bjcFNkff/wR3bp1Q3h4OKKjozFq1CjcuHHD8rh5mu6GDRswdepUxMbGIikpCbNnz5bsHDt//nxERETg6NGj6NixI8LDw9GyZUt89dVXdv22bt06NG/eHCEhIUhOTsaLL74Io9HotK9PnjyJESNGoHr16ggLC0Pjxo2xYsUKiFY3e0rbqqQuW7NmzUKNGjXsyuzcuRMcx+GPP/5AamoqLl68iDfeeAMcx0leP7m+X716NVJTUxEWFobu3bvj0KFDdq85x3FYvny55LzXXnsNOp1Ociw7OxtTpkxBUlIS9Ho97r33Xst0XEIIIYQQQryBRhoSQkg5xnEcOtZNgFbgUbWcTXe+mHvR6eMx+hhE66Mt31/NuwqDaHBYPlwbjoTQBMv31+9eR6Gx0K4cYwzJYep3Uf3vf/+LyZMnY+LEiRg6dCh+/fVXDB8+3K7chQsX8Nhjj6FOnTooLi7GBx98gM6dO+P3339H/fr1FV/v7NmzGDp0KEaOHInFixdDFEX89ttvyMrKUvS4nB9//BFpaWno27cvNm/ejLt37+If//gHBg4ciB9//FFS9sUXX8TAgQPx0UcfYf/+/Zg/fz7q1q2LyZMnW8qUlJRg9OjRmD59Ov7xj39g6dKlGDp0KC5evIj4+HgAwMqVK/Hss89ixowZWLFiBU6cOGEJDZcsWeKwrVevXkWDBg0wevRoREZG4tdff0V6ejry8vKQnp6uqq1q6jKbOHEiVq5cia+//hq9e/e2HH/33XfRvn17NG7cGNu2bUPfvn3RsWNHzJo1CwBQp04d2fq2b9+OJ554AuPGjcOIESNw+PBhDBs2zOHzd6a4uBg9e/bE9evX8corryA5ORkbNmzAQw89hF9++QXNmjVzq15CCCGEkKBHIw39ikJDQgjxo5/OZeL0jTykxoejY70E1yco4M3pzv7Ub1s/p49PazUNTzR/wvL9E7uewKU7lxyWH1BnAF7p+Irl+wU/LsD3V7+XLfvLqF9UthZ4+eWX0a1bN6xevRoA0Lt3b5SUlGDu3LmScvPmzbP8WxRF9OzZEwcPHsS6deuwaNEixdc7cuQISkpK8PrrryMyMtJyTaWPy3n++edx3333YevWreA4DgDQrFkzNG3aFDt27JCsy9euXTv861//AgD07NkTe/bswZYtWyShYXFxMZYsWYK+ffuCMYY6deqgfv362LlzJ8aMGYM7d+4gPT0dzz77rOW59+zZEzqdDjNnzsQzzzxjCRdtde/eHd27dwdgCno7duyI/Px8vP7663ZBn6u2qqnLrFGjRujYsSPeffddS79mZmbiv//9L15//XUAZTvwVqlSBe3bt3fa9y+//DI6deqEtWvXAjC9VoWFhVi4cKHT8+Rs3LgRv/76K3777Tc0btzYUt/p06excOFCfPTRR6rrJIQQQggpF0QP1jSkjVBUo+nJhBDiRxdv5+P4tVxcyLwb6KYQFYxGI44cOYIBAwZIjg8cONCu7IkTJ/Dwww+jSpUqEAQBWq0Wf/75J06dOqXqms2bN4cgCBg1ahQ+//xz5OTkqHrcVn5+Pn744QcMGzYMRqMRBoMBBoMB9evXR/Xq1fHzzz9Lyvfq1UvyfePGjXHlyhXJMZ7n0aNHD8v3qampCA0NtZTbv38/8vLyMGzYMMv1DAYDevTogYKCAhw7dsxhewsLC5Geno66detCr9dDq9XixRdfREZGBvLy8lS1VU1d1iZNmoTPPvsMt2/fBmAK67RaLUaMGOHwHDlGoxGHDx/Gww8/LDk+dOhQVfWY7dq1C82aNUP9+vUl/dqzZ0+715EQQgghpEJhomdfRBUaaUgIIX5UOyEcAFA9ljYs2f7wdqePx+hjJN+/0+sdl9OTraXfn+5werJaN2/ehMFgQGJiouT4PffcI/n+zp076NWrFxITE7Fy5UrUrFkTISEhmDhxIgoL7dviTP369bF9+3YsWrQIDz/8MHiex4MPPojXX38dNWrUcPm4raysLBiNRsyYMQMzZsywe/zy5cuS72NiYiTf63Q6u+cQGhpqt9aedblbt24BAFq3bi37HG2vae25557D6tWrkZ6ejnvvvRcxMTH47LPP8PLLL6OwsBARERGK26qmLmvDhg3D3//+d2zYsAHTp0/H2rVrMXToUMvITqXM7x/b90uVKlVU1WN269YtHDlyBFqt1u4xQRDcqpMQQgghhBBbFBoSQogf3Zcah/tS47xa57mbefjfqZswigwTO9X2at2+VDOqpqryyRHq1iGsEi4fyDDGJJtkKJGYmAiNRoObN29KjltvIAKY1gy8cuUKtm/fjhYtWliO5+TkICUlxfJ9SEgIioulG9fIrUX44IMP4sEHH0Rubi6+/PJLzJgxA+PHj8e3336r6HFrMTEx4DgOL7zwAgYNGmT3eEKCd6bLW4uLM73Xt27diurVq9s9XqtWLYfnfvzxx/jb3/6G5557znLsiy++cKsd7tYVGhqK0aNHY+3atejYsSN+/fVXyzRoNczvH9v3y/Xr1+3K6vV6l++NuLg4NG/eHGvWrFHdFkIIIYSQco3B/WnGNDtZNQoNCSGknCsyiDh1PQ8cB4giA89zgW5ShSMIAlq1aoXPPvsMf//73y3HP/30U0m5goICAJCMvtu/fz8uXLiAJk2aWI6lpKTgypUryMvLs4xyc7bzbVRUFIYPH46ffvoJH3zwgerHASA8PBz3338/Tpw4gZdfftn1k/aC+++/H2FhYbhy5Yrd1FxXCgoKJP1oNBrx4YcfutUOT+qaNGkS3njjDcyYMQP16tVDp06dJI/LjcC0JQgCWrdujW3btklGeW7ZssWubEpKCk6cOCE59s0330i+79GjB3bs2IFq1aqhWrVqip4HIYQQQkiFIDIPNkKh1FAtCg0JIaScS4zUo12tOESHamFkDDwoNPQF8y7DkyZNwrBhw3DkyBG89957AExr+wFA+/btERERgaeeegrPP/88rl69ivT0dCQnS0dJDh48GPPmzcOECRMwadIkHD9+HP/5z38kZd5++238+OOPePDBB5GUlITz589jw4YNlvX7XD0uZ9myZejWrRseeeQRjBgxArGxsbhy5Qq+/vprjB8/HmlpaV7sMdPoxpdeegnPPvssrly5grS0NAiCgHPnzuGzzz7DJ598grAw+an6PXv2xOrVq9G4cWMkJCRg1apVKCoqcqsdntTVokULtGnTBt999x0WL15s93ijRo2we/dufP3114iNjUWtWrVkN3cx7/A8fvx4y+7J69evtys3dOhQvPbaa2jTpg0aNGiADRs24OrVq5Iyjz32GN5++22kpaVh9uzZqF+/PrKzs3HkyBEUFxfLtpMQQgghpEKg0NCvaCMUQgjxk9t3i7HhwEV8/ts1FBQbvVZvQoQeg1olo2vDe6AV6Me6rwwYMABvvvkmvvrqKwwcOBA7d+7Em2++CQCIjo4GYFqj7uOPP8aNGzcwcOBAvPbaa3j77bdRt25dSV2NGzfGe++9hyNHjmDgwIHYsWMHNm7cKCnTvHlz3Lp1CzNnzkSvXr2Qnp6OkSNHYtWqVYoel9OhQwfs27cPeXl5GD9+PPr27YuXXnoJYWFhdm30llmzZmHt2rXYs2cPhgwZgmHDhuGdd95BmzZt7NZDtPbvf/8bXbp0wbRp0/D444+jWbNmeOGFF9xqg6d1PfzwwxAEAWPHjrV7bNGiRUhJScGQIUPQpk0bfP7557J1DBgwAG+99Ra+/fZbDBo0CLt27cLmzZvtys2dOxejRo3CggULMGbMGNSsWRPTp0+XlNHr9di9ezf69euHV155Bb169cKUKVNw6NAhdOzYUfHzIoQQQgghxBmOubMifCV25coVVK9eHZcvX5asT+VNRqMRN2/eRGJiIi1o7mXUt75B/arMmRt3sGbfBQDAggFNoNM4D/gqQr9euHABgGlX3WBhXtNQo9GA4zwblblmzRpMnDgR58+fD6rnGAje7Ndg07lzZ0RHRzsMBN2VnZ2N2NhYrF27FuPGjXNYzlt96+r/j/64xymPzP2i0ehVr4dK1NFqtWjZsgV+/fU3lJSUBLo5FRr1tf9QX/sP9bX/aDQaGAxFfr1nMP8+Pr9Mh5Q49+6HrtxmqPVMMd3rqEDTkwkhxE9CdRq0qhGDwhKjy8CQBJ/bt29jwYIF6NatGyIjI/Hzzz/jlVdewcCBAyt9YFhRHTp0CN9//z2+//57fP3114FuDiGEEEIIoenJfkWhISGE+ElyTCiG32e/g6w37P3zBs7fuov6VSLxQF3v74JLTH+9Pnv2LDZt2oTs7GwkJibi0UcfxdKlSwPdNOIjbdq0QXR0NObOnYsePXoEujmEEEIIIYTB/dCQMkPVKDQkhJAK4Gp2AU5dz0O4jn6s+0pkZCS2b98e6GYQP/L1Ci4xMTE+vwYhhBBCSIUiwoORht5sSOVAny4JIaQCqF8lEuE6DWrGy+9ESwghhBBCCCGEqEGLahFCiJ98eSwDn/92DRdu3fV63W1S4zCoVTJa1Yj1et2EEEIIIYQQEhSYh18qnTlzBpMnT0bLli2h0WjQtGlTReelpqaC4zi7r8LCQkm5a9euYciQIYiMjERcXBwmTpyI3Nxc9Q31ERppSAghfvLLpWzcKTTgnkg9UhPCA90cvxAEAcXFxYFuBiEEph3ZdTpdoJtBCCGEEOI2JnJgonu7JzM3picfP34cX3zxBdq1awdRFCGKyisZOnQoZs2aJTmm1+st/y4pKUHv3r0BAJs2bUJ+fj5mz56NUaNGBc2ySBQaEkKIHzDGUO+eCOQUlCAxUu/6hAoiJCQEeXl5yMzMRHx8fKCbQ0illZmZieLiYkRFRQW6KYQQQggh7vPzmob9+/fHwIEDAQDjxo3DoUOHFJ9bpUoVtG/f3uHjW7ZswfHjx3HixAk0aNAAABAbG4vevXvj4MGDaNu2rfoGexmFhoQQ4gccx2GYj3ZOBoCCYiN2HM1AbmEJ+reohoSI4AgmExISUFRUhBs3biA7OxuCIAS6SQAAURTB87RCh7dRv/qOJ31rNBpRXFyMyMhIJCTQ7uqEEEIIIUr58t52586daN68uSUwBICePXsiLi4OO3bsCIrQkO7sCSGkAtAIHA5dzMKp63nIuhs804E5jkNycjISEhKCZlokYwxFRUW0a62XUb/6jqd9q9PpkJCQgOTkZHCce9N5CCGEEEKCAuMA0c0v5t/7oI0bN0Kv1yMiIgJ9+/bF0aNHJY+fPHkSDRs2lBzjOA4NGzbEyZMn/dlUh2ikISGEVABagUfzlGiEagVEhATXj3aO45CYmBjoZlgYjUbcvHkTiYmJQTPysSKgfvUd6ltCCCGEEBNvrGmYkZEhOR4VFeX1JVwGDBiAdu3aoUaNGjh37hxeeeUVdOzYEUeOHEHt2rUBAFlZWYiJibE7NzY2Frdv3/Zqe9wVXJ8sCSGkgvrzrzs4df0OqkSFoG2tOJ9cY2TbGj6plxBCCCGEEEKCggjTqEG3zjXN2rCd9pueno758+d71i4b//rXvyz/7tSpE3r16oWGDRti+fLlWLVqlVev5UtBMz25sm9jTQip2M7fysP+s5n45VJWoJtCCCGEEEIIIW7iSr/Kr4MHD+Ly5cuWr5kzZ/r8mklJSejYsSMOHz5sORYbG4ucnBy7sllZWYiL881AE7WCZqRhZd/GmhBSscWE6VAnMRxVo0MC3RRCCCGEEEIIsVFOgkDmwdqEpeclJSUhJSXFi41yT8OGDe3WOWSM4c8//0TPnj0D1CqpoAkNK/s21oSQiq197Xi0rx3v02ucvZmHXy9lQ6vhMaBFNZ9eixBCCCGEEBKMykn45ybP1jQMXN9cu3YN+/btw6OPPmo51qdPH2zYsAGnT59GvXr1AADffvstMjMz0bdv30A1VSJoQsPKvo01IYR46tadIhy6mIXIEA2FhoQQQgghhJRLFTv08xjjAdHN/IipPyU/Px87duwAAFy8eBG5ubnYsmULAKBLly5ITExE9+7dcfHiRZw5cwYA8MEHH2D79u3o27cvqlWrhnPnzmHx4sUQBEEyS3bo0KFYtGgRhgwZgkWLFllmxT700ENBk1MFTWjoiY0bN2L16tXQarXo3Lkzli5dimbNmlkeLw/bWBNCiKeqRIWgUVIkokO1YIyB4+iGgxBCCCGEkOBB9+flzY0bNzBs2DDJMfP3e/bsQVpaGoxGIwwGg+XxWrVq4dq1a3j66aeRnZ2NmJgYdOvWDS+99BJq1aplKafVavHll19i+vTpGDlyJDQaDQYPHoxXX33VP09OgXIfGvp6G+vc3FzJhinmrbmNRiOMRqP3nogVo9EIURR9Vn9lRn3rG9SvzhWVGPHNyRuIDNGgdY1YROiV/ehV26/VY0Mwum11AFC1LmxlQ+9X36B+9R1/9S29doQQQogjFPYFDZHzYPdk9eelpqaCMedDFPfu3Sv5vn379tizZ4+i+pOTk/HJJ5+obpe/lPvQ0NfbWK9cuRILFiywO56ZmSnZbMWbRFG07KDjy2nblRH1rW9QvzqXebcEu49dAwBU0ZUgLkyr6DzqV9+gfvUN6lff8VffZmZm+qxuQgghJHhRIKhe4PqMMQ7MzY1Q3D2vMiv3oaEttdtYV69e3Wl9M2fOxMSJEy3fZ2RkoG3btoiPj0diYqL3Gm7F/Jf+hIQECILgk2tUVtS3vkH96hzTF6JR9SLkFRqQWq0K9FplfUT96hvUr75B/eo7/urboqIin9VNCCGE+B5n9V8Kh5wrx3/gFT1Y05AmY6lW4UJDOZ5sYx0VFYWoqCi744Ig+PTGned5n1+jsqK+9Q3qV8eSYsPxty513TpXbb9+f/ombt4pQtPkaNSvEunWNSsDer/6BvWr7/ijb+l1I4QQEhwo8HOtHId+HmKi+7sgMwoNVatw7zTzNtZt2rSxHOvTpw9+++03nD592nIs2LaxJoQQb/j1UjZ+vpCFy7fzA90UQgghhBBCbHAKviorXsUXIf4RNCMNK/s21oQQ4g21EsMRHaZFXLgu0E0hhBBCCCEVTmUO9eRUnACPU/HaqinrdcyDjVBoTUPVgiY0rOzbWBNCKq5fL2cjt6AE1ePCUCsh3KfX6te8mk/rJ4QQQgghFRUFKiaVMwgsNzzYCIVCQ/WCJjSs7NtYE0IqrsMXs3DmRh7urxPv89CQEEIIIYQQCgCB8h7+VcjAzxs82gjFeeZE7AVNaEgIIRVVTKgWiRE6xIXRlGFCCCGEEKJGZQ6O1AZDwbXuX9CHfpwHfeTJuaRcodCQEEJ8bMi9KX671u27xfjlYhbyigwY2LIaOC7Ib1YIIYQQQiq9yni/Vj5Dp6AOAitJkMdEzoPdk4P49QtSFBoSQkgFkltQgm9P3gAA9GpSBWE6+jFPCCGEEOJbzoIIzuq/FSGwKF/BVNCGfEET8LnbjsC1n3mwpqHbayFWYvRpkhBCKpDoUC2SY0IQGaKFgdbsIIQQQgjxUGUIGYIlwFLGURBoPs6V/s+vgiIEDIY2+AHzYE1DF/toEHsUGhJCiA9l5xfj9ys5iAzRoFlyNDSCb3+Zx4brMLVbPZ9egxBCCCGkfKvIQWD5CI6CagRgJQ78OAhunhcMfUb8gUJDQgjxoYycQuw89hc4DmiREhPo5hBCCCGEVDBBFD55VXCHMkEZ+nGlG6BwvB+DQP++Tu6GfO5f0MHzC2DQykT31yZkopcbUwlQaEgIIT7EGJAQoQNjAM8H0c0VIYQQQki5UdHuoYI3EAyaMDBgoVQFDgGDYkSl52hNQ/+i0JAQQnyocbUoNK4W5ddr/nEtF9eyC1A1OgRNk6P9em1CCCGEEMcqwgd2tcELb/PlfQEP+oIm4ONheo95v6/9Eu75oR+9Na04oO850YM1Dd09rxKjHiOEkArm18vZ+PbkDfxxLTfQTSGEkIA6c+YMJk+ejJYtW0Kj0aBp06aBbhIhFRin4CvY2QZ8cl/+xSn4n+8uziv78hol/e/5a8FBUP2l/iIK+87NfuTAu/WlqG6OV/RFKgcaaUgIIRXMPZF6VIsOQXSYNtBNIYSQgDp+/Di++OILtGvXDqIoQhRpMSNC1CkPQZ8jwRVqBGRHX8DPowD9MVLOcYBnCvj40v+68fPeh33ly41DfBfgOas3cD8bmMh5sKZhef6ZFhgUGhJCiA/9ejkbjDFUjwtDQoTeL9fs0bgKejSu4pdrEUJIMOvfvz8GDhwIABg3bhwOHToU4BYREgysR/2VpxGAgedO6OdxUOiX0C+wYZ/nlVtthOLFEZC+CPoCE/Cp57KdAfyxQWsa+heFhoQQ4kO7jv+FrPwS9GuehIS6/gkNCSGEmPB8cAQNhPhfeftgHPj/r/p9FGAFCAN9FgT6oG/KTwDo5/BPbX2lr3lAf8IwD9Y0ZIH/WVPeUGhICCE+pNcI0GuMiAyhH7eEEEIIcUd5CQAD92Hcb4GfOwEMV7r+nqLRb76cHuuDgM/rgZRn9UlXevT2unvBGeZ583VV06ZA/lSi6cn+RZ9iCSHEh/7eox4AgDHmt2sWlhjx+5Uc3CksQfva8QjX0496QghRKjc3F7m5ZRtJZWRkAAA0Gg04jj5s+JJWq4UgCNBqK9uavP5/X6nv68AEgkEdBipk6msNtFo9gn5HX6+HgN57/ZQEWlqtBoJGC51O56K8lwI7L/aXt15Lr4WRLuoRBIb8Qq9cigQ5+iRJCCF+4M8PmiVGEduOXAUA1K8SSaEhIYSosHLlSixYsMDueKNGDaHR0M9TXxIEAbVr1wIAGI3GALemYhMELWrXTgXAV8C+9lUA6N69nEajQa1aNcBxHAwGg02NXmyrVwMsL923eq1NytqjEQSk1qoODhwMMu9rbzwvr71m3lhz0QufL9x9PgZDEX76+ZzH13cHY+6vTejHcRwVBt35EEJIBROu0yAqVIMInYZ+MRJCiEozZ87ExIkTLd9nZGSgbdu2OHHiZAUMV4KLedTb778fRUlJSYBb40wwjjhV98G/rK+PudXXPh8BWB7WilM4Mkyr1QCMw9GjJ1BSYpAv5LWpqt55XbwzWs0boZja97UGAIdjx/5ESYnBK6P3PO0Lb/SlN4JK77SjrD95wY3dqb3Fg+nJoOnJqlFoSAghPnLjTiEysgsRHapFakK4367L8xzm9Gnkt+sRQkhFEhUVhaioKLvjBoPBbpQQ8T6j0YiSkpIgCA2D7YOlqw/86gNtZ33t01BQUXih9vl4r07lQZOL0MRqR1+jyFBiEFFicNQGx23zeJ0/t8Ii2+fmeR2etkPJ68KBQTQyGEpMX0DZz2z3QzPRO+d79DqKnoeXXvj/NM9ZvaYBHJnAGA/m5oYm7p5XmVFoSAghPnLqrzx8cTQDceFaPNO7YaCbQwghhFRiwRQC+v5Dq6uAwPy4ecsI5RV7u+1BtBmEj0aE2W7O4fR8j9rg/rmeB1Lu978n17Y9l+c14HgBPK8B76JaT0I8j9rs4XuV9+jangbQgtW/AzjSkPgVhYaEEOIjBlGETuAQGVLZFnQnhJDgkJ+fjx07dgAALl68iNzcXGzZsgUA0KVLFyQmJgayecQngiEcDHwo6F6lwbfTrMdhoMdhmOej/LjSXZMt/1bM/6FWsIR/is+z6SMOvOTLN9cMTOjnWcjpWZvlw/AAYpz704zdXAuxMqPQkBBCfCStwT3oUj8RBtH/w/czcgpw+XYBQrQ8mqfE+P36hBASDG7cuIFhw4ZJjpm/37NnD9LS0gLQKuK+QH7Y820Q6PUQ0FUwwfEATGGW87LeXQfNvQoCM7LK/RDM9jwepvcuL/OYN67nXh+7HZr5OfRScz2O403jOTkteDc2CQnEKD5PAj1P3t+8h9fluMAt18EY58FGKBQaqkWhISGE+BDHcdAK/v/l9PuVHOz98yaqx4VSaEgIqbRSU1PBaEeocoCT+a8/fnf6Lgj0agjok00plAVZliYEKPjzR9BUxjfXMgdZ1iMNgz3kU9vv/hy15yzYEzgNeE4DnuPtyrnzXnI30HP3fetukBeIcFzgAjeTinmwEYrbG6hUYhQaEkJIBRQVokWEXkCo1gtr/BBCCCFeEYgPa+UgGAzwTrUeBYJ+DAO9N/LP+9dx1occhNLpsgI4lP0RQ+11/BH+uX8dde8hd0b0KXkuXGkYbpmi7McQzt+Bn7v/f+Dd/P+7/VRw2hissqDQkBBCfOTY1RyE6QQkRYciVOff8O7+OvG4v068X69JCCGkMvJ3EOj9ENAr4V+gNrBwNwDgtOA4DThOC3DKdqr2z+gz315DTX95K9RztDmHr/tTzXP1VYgnKa8yVHMnTBN4XemXHox3HXX4K1T1VlDny+t5un6nP/l79+QzZ85g+fLlOHDgAI4dO4aGDRvi2LFjTs/JyMjAq6++il27duHs2bOIjo5G586dsXjxYtSsWdNSbu/evejatavd+Y888gg+/PBD1W31BQoNCSHEB4wiw8afLgEAxnVIRYOqkQFuESGEEOIJf4aDyqbMKlVeQ0G3AsGgnIrqu/oDEQLKt8PJWoU2m3MEU/in5rX3deindqSe/OYcvGWXautRnYD/wj63Rin6MeTzdC1Dq28ChonuTzNmbmz6fPz4cXzxxRdo164dRFGEKLqu5PDhw9i6dSsmTJiA9u3b49atW1i4cCHatm2LY8eO2W3EtnbtWjRs2NDyfUJCgvqG+giFhoQQ4gP5xQZoBQ4lRoaIEPpRSwghJNgFwxqC6sJCj8NAP013BdwIAH0c/vGcAI4TSv/rat1PdRtRKC7ro8BPaVl1gZnSOu2fE89pwEGw25xDTcDnq3BP7XvGF/UC6gM9RyGbwAngIUDgtGBWdaoOMP0Q4vlzOjPvkz9cBG69YH9vhNK/f38MHDgQADBu3DgcOnTI5TkdO3bEyZMnodGUfQ7s0KEDatSogffffx+zZs2SlG/atCnuu+8+1W3zh6D5JFvZh3wSQiqWyBAtFgxogiKDCJ3g/+H+jDH8ef0O8goNqJ0Ygbhwnd/bQAghJFgEQyCoHFf6P/Un+mfzC1UBoE9HfiktK1fOfiMUXwR+isM2Lwd9noR8cjwJ+EybcwgQOA3Mg6MCHez55n2mLmzzRZAnQAAPDTTQAzAqr9uNAE99+/3wxwbztdycuqumjcydIXvlFM+r78+YmBi7YykpKUhMTMS1a9e80Cr/CZrQsLIP+SSEVDwcxyEkQBuRcByHDw9eRpFBxCNtqlNoSAghlYYvA0LvBIOOAkGXQaE/1sjz4YhAbwdenowA9GRHX28Ggd7sE28HgIo23lAQNnGcAI7j7UYaOm6fd4M/X4R+qoJMXwaJNn0llI6eNX15VjegPuhzazdoNwI+d0cOuj/i0P48FsCNUPw90tBbTp06hRs3bqBRo0Z2j/Xt2xeZmZlISkrCyJEj8dJLLyE0NDQArbQXNKFhZR/ySQgh3hYVokFBiRFGBX+EIYQQUh744sOOZ0Gg21OE5YIMrnTUG8fLPO6jD+8BGeGmJIzyTkjmcHMOTgOO04DntBB4BfX4sc1KQj2vBXoK6vE0xBM403RZntNAo6CvAe+Gd74I7Xw1VVlNqCX3XtJAgACt7EhDNeGcO+Ga+oDRf8GfL0YeigEcacgY5/6ahqWhYUZGhuR4VFQUoqKiPG6b4+syTJ8+HdWqVcPIkSMtx6Ojo/Hss8+ic+fOCA0Nxe7du7F8+XKcOHEC27dv91l71Aia0LCyD/kkhFQsN3ILcbfYiJhQLWIDNMrv6R71wdv+mZUQQkg5EFzhoH+mCpunyUqnzMq3x7vTg70ViAVDGKjmcdNoLA04ByOGvNFWbwSA/gz/vPVesA7qJOvs2QRZ3gz9vB34Ka7Pw6DPYb1uhHwaJkBgAjRMAzgYUebeNGHfT0X254hDT3ZKNl/T3anTXuHB7skoPa9t27aSw+np6Zg/f76HDXNs/vz5+Pbbb/Hll18iPDzccrxVq1Zo1aqV5ftu3bohKSkJU6dOxcGDB+3aGQhBExp6S3kd8kkIqVh+PJeJA+duo949EZjQsVZA2kCBISGEBDNv/4x298OjrwNB5WvLmb740v/KjGIJogDQZSjn4gO1x6Gfh+0TOL3s5hxmrsI+T4M+T0M+X4R77l7HVR2Ck9Fvknq8GOYpDZMUT+lWGNCoCbHUhY3KygrgwUOAFlqvPzdLeT+Eju5eBwB4N6ffqr2egQUuNGSiByMNS887ePAgkpKSLMd9Ocpw9erVeOmll7BmzRp0797dZfnhw4dj6tSpOHz4MIWG3uaLIZ+5ubnIzc21fG8exmo0GmE0Kl9cVQ2j0QhRFH1Wf2VGfesb1K/27hSUgDER4Xre7X6hfvUN6lffoH71HX/1Lb123ubNUNAPgaCXg0BFH9htr2melmw1PdnTcMzpiEUfBn+ehH5O6/VwZJ/5umo353D1OrgKvNx9voB/gj1Pn5+zOjSlIzoFTguOc/3xW9EUbi+HeErK+WKasbenDGuYaRsUDdPA5abgbtQvKe+ncA5wfxkI3oPfQ67ODehIQy9ISkpCSkqKz6+zbds2PPnkk3jppZcwYcIEn1/PFypUaOiLIZ8rV67EggUL7I5nZmZCr9d79wmUEkUROTk5ANybtk0co771DepXe91T9eiYkggjY7h586ZbdXjar3lFRly/U4wSkaHhPWFutaEioverb1C/+o6/+jYzM9NndVcO3goJffyB0oubbLgVDNrVwVv92/p/paGh0/N9Ewi6Gwb6Igh0FgJ6MtrPNMJQfqShJyP8PAkAXQZ3Pg7+XF/fvf9PmHb0NY025JjrJCsQQZ+3Qz5fjCJUUrd5pKEADRhE1cGePwI9d4M8zwJA9+8dHD0/5kGdniovG6Hs3bsXI0eOxKRJkzB37lzF53344YcAgDZt2viqaapUmNDQV0M+Z86ciYkTJ1q+z8jIQNu2bREfH2+3O7O3mP/Sn5CQAEEo3wl+sKG+9Q3qV9/wtF8vXczC53/eQphOQKcmNb3dvHKL3q++Qf3qO/7q26KiIp/VXTFwcD8Y9OEHUW+ttecqAPRBWGbbLo7TAJxg2qDDSUDuTuDnTtjnsC43Qj7nfaQ+SHM32DM/J4E3rbEn8DowXnA7zHP7PA8CPFcBiMvRmC6CL1f1u76+9HEN46FlOuiZHobSafdKQhwlAZ3yacjeDg+V/yxUFyCqqde+rMB4aJkAHdNCsNmow53QTf3mJoEIBD3j9mZWlSg0zM/Px44dOwAAFy9eRG5uLrZs2QIA6NKlCxITE9G9e3dcvHgRZ86cAQCcOHECgwYNQr169fDoo4/iwIEDlvoSExNRp04dAMCYMWNQt25dtG7dGiEhIdi9ezdeffVVDBo0KGg28a0QoaEvh3w62kVHEASf3rjzPO/za1RW1Le+Qf3qG570a3SYHhzHQ+BN07wEWuPQgt6vvkH96jv+6Ft63bzFBx8y/REM+iEUdHUOx5lGCfGc1m5zDrVhoDttdtQ/aoNARyGgNwNAZ/3uKMizrss0+k0DAVqw0tFZaq4P+C74cxrKOgnSFAVxTq/reUgn1z4NKx37xjTgFUyZ9eaahUrDPeXho2ehnnfKOh9paH5nW7fVf6MB3eN+cAfZNUlVne/mtZnqza68h4nwYE1D9efcuHEDw4YNkxwzf79nzx6kpaXBaDTCYCj7vfXTTz8hJycHOTk5eOCBByTnjh07FuvWrQMANGnSBBs3bsSKFStQVFSEWrVq4YUXXsCcOXPUN9RHyn1oWFGGfBJCKg6DUcTlrAJEhmgQG6YLWFhX954ILBzYBBqBpooSQoh3eXnkjAfr8pmu4d0w0HEg5Z0ReY7KC7wOHC+A5zUwDzT01ihAueBPTeinNjxT2261oZ3q8jZt1HCmkYZaLgS8g8Xf/B3suRvouRPkKT3X1bWV1KFlArRMCx3Tw+ggsVDWDqUBoOty3grpbPkqVDSVd80cGmrBQ3BnZKGbAZwnIwU9/ZTgeWjoHubhdcuT1NRUMBdLC+zdu1fy/bhx4zBu3DiXdc+ZMyeoAkI5QRMaVvYhn4SQiuN2fjHe+e4cAGBmz/pIjPTN+qeumMLKyvMLnRBCfIuD3XRaHweCDoMZlUGgmhBQTRinZvSfknbxnAY8tBA4PUSbkEtp6KdmlJ+nYZ+a4M7TkM953eqnUeuYFhqmh46FwsDKNkFyVJc7gZ7TgNDNIM/TAM/ZyDtvBHeyU2YtQZYGPESFoZ73Rv6pCwiVUxUQqgyY3AnhOAACx0PD8dBxAoyc6yFlngRunvxJnvNC4OatIQHu9oEYwBlM5WVNw4oiaELDyj7kkxBSceQVlv2cigwJmh+zhBBCPGDensNxAffCQXdGCfoiGFQzKlBJKKjmGuZA0LSjLw+e4yHY7DKrdPSfmrBNaRCoNAT0tD2mepW/TxwFb0qCP41lgrLG8eviRujni9GCngR97oR86h53Hd2Y+lqwhIbuXKesnGu+CvPUBHlqYxl3giu5vhA4DgI4aDjOYTDnSWDnaVDn6ahAwLvDATzJ/QI5j4mBB1Ox87btuUSdoPk0W9mHfBJCKo5aCeGY168x7hSWQK8J7C+m67mFyCkoQWyYLmAjHgkhpELgeMBuGqfKINDNEXiOrqU0mLMt563QT8noPyVhnzlY0/ACBF4PDR8KzmbxNyUBn7vhntIRh3IBkcswjzk+13FAqLys2vDOXLeG8dBBjxAWCgMTndQvnyo4DwedhXzuPube9VzVa3rcOUWj+ZyEQQLHQ8vxCOU0ika/Kc1xlAZQau9E1YRq7tzluhucKTlL4HloeA46noeRN1/PrctZXdc7MZ03B+b54tOF2pclkCMNRcZBdHPEoLvnVWZBExoSQkhFwXEcQnUCQnWB31Tgo58v41pOIXo0ugfdG1UJdHMIIaQc42FJgErJhoNeDAaVBHdKRgJ6IxB0FQa6E8TZT08WIEADDacHOKN8vV4KAd0KAB2cK1+X8jBPyTWc1etO4CcwHhqmgZZpwZeus+coHHEn6PNFqGh63DGX4aGLVETJSDolcYPtdQSOhwY8BI6TJDNKgx9fhXhqwzv1owdVniC5lnsna3jTKEMNz4F3owHeCuN8sdyfLzM6d/rbk3UcSflCoSEhhFRgkSEaIAcoKDG6LkwIIcQhzvwRyUWYBsiFcp6FgWpDQE8CQFcBnMvgz8XoP2ePayBAw+mh48LAOwwNFQSezPk5SkI+T8I9pcGeXKjnOCyUK6s85LOt17TGngA9tBDhaCMUR/U75jQQdJKkOAsgXEUTrsNA15QEc0rqkWuLwPPQ8hz0VqPf1MQtasIi1bsEu5H7uBuseRqkKWkrzwECB2g5QLRpqLdGDKppj+o6vV+lHW8FmoZAZoYi5/buyXD3vEqMQkNCCPGyW3lF4ABEhmihC/D05OFtqkMn8LSDMiGEeIjjTLv6SqkL75QGgc7qcRYAKg3/nAV/akI/tQGjbXAleV6MN4WGpZtzaGyWLbI/10UwqCDgUxYUug7glAZ6akblqQsJ7TkcNViaGJimzAoIsZoy66h+Zx+xnQeBjjkL6dwN5yT1uzxfwUWgPGhyVh9fOvpNy5u+lHIn3HEnyHI3TPM0NPPFqD6e56DlAR3PuT191tezbv0dWfnq+ZQEMHujjVD8i0JDQgjxsv/+eg2nb+Shfe04DGyZHNC2hOnoxzwhhHgDx2lgnp4sCf+8EAx6MxR0NxB0+piz68JxX1gHd65G+3EwTeHUQAMttHbbRTirS8nIPtvwz53gT8kIPqV1mY7ZcxX2uarTVIc86zrMU2a1HA+Nk8/Q7oZ7zkI9TwM9ZWsMuiyiYnqwsnKOrik3+i2YRwQC/hkVqKgdblzX3N+OnoM/luILVCzlz2UGBQoNKw36NEkIIV52p3T35KgQbYBbQgghxFt4TmcZta02/FMS/MmFfo6m/joK+5QEfY5CPmdTeq0fc1SXs/NdjwosHf0m8ghloYgQI2EU7dfZcyfEsw1n7OuQkg38ONfXNZ1rTz7skznXQcIhV9ZRIOd8RKDN9wIPPc8hTBAgOpiu53T0nJNruQqc/BUKAuqCMzVBmZpwhhc46AUgVFC3eYNnawJ6ztsBlG/X5Cu9hgBoeSBEAETne6x6LID7gCjmyyaW+LBuVyg09C8KDQkhxMsmda6FO4UGhGgDvxFKiVHErbwi3Ck0oN49EaoW0yaEEFJG4LUA4yxBm5pQ0FGAJzcKUC4QVDKqUEkYaC6jJNBTGgI6G9EnPcd1+CeAhwAeemhhhPzmHGpDPyUj9JSEfUqDPqUhn+PRgPLH5cNMB5U4aAdQFozxvGmzCC1fNvrNWX2uNxlx+rCi8E7JLYq69f2UUxsAqa2bByR9rYY3wilv3/0F6xRec187G2no6vzyinewNqmvCH6+Hgkcj0LDkpISrFmzBj///DMuX76MN954A/Xq1cPmzZvRvHlzNGrUyFvtJISQciNMpwmaacFXswrw9nfnAADz+jUOih2dCSGkPNLwoeAZbxcEyoWAcqP/ZI/JBYwy4Z85wLM8xlyHeHJhobMRf+awT0nQZx/cKQ0HIV/Oap09PadBGKe1rLNnKivlLNCzDfKUhHjyoaH9MftAUuZEB9dUO1XS8TRl+fKOruvo2jzPQccDITwHZ/OTPZ1KrKQONXWpKafm2u7Wr+Ra5tFvOhehoTcDK18HSIH8G7TTcFtgpr4WGBgrX6FWecsrA/mJQmQcRJl1a5WeS9RR/Kn27NmzqFOnjuX7c+fOoUePHrh16xZatWqFffv24c6dOwCA7777Dl9++SXWrl3r/RYTQghRLCKk7Mf8naISCg0JIcRNOj4MYDoAzgNANeGf3LRfJaGfp2GfsrKwK+Nsmq71I0pDPduPfFpBQCgvIEwQYBTtYzPbsMBViGc3ClEuPFMQDjoq551wUF15Z+e4Os/6cV4D6AUgTAPJ+pFKPk4r30REGbVhmTuBWCDX6LMOsuCjICvQI+Q8WT/Rm7jSDFzLAb7IhjiufAWRvqQN4EhDxtzfPZmmJ6unODRs06YNNm/ejJ49ewIApk+fjsTERBw8eBAxMTHQ6XSWsl26dMGcOXO831pCCAlyRQYj7hYZERmigTYIdiyOC9Ph2d4NEBEk7SGEkPJKy4UCnNYuuHMYCMqM7rMNBNWEgXLhnjTkk5ZzFQACZeGekvBPafBnfY60Lvk2WD9m3mVWb7PzqW3g4yo8lCujJOCTDxDlqSnrqLy7waCn5wKAhjeFK85GvykN53y1FiDg2TRVT3nrrsk6yALv36ClIt35KXmfcTyDwDNoeAbm576ubAI5DIHWNPQvxaHhG2+8gdGjR+PZZ5/F7NmzsXfvXnzwwQdISEiA0WiUlK1atSoyMjK83lhCCAl2527exfs/XgTHAS8PbAo+wH/65XkOseE61wUJIYQ4FcGiIIhhAByHfY6CPtuQz/HjZWxH95nLyIV6coEeL1NOSYhnCfAkdULC1bm257uqw9w2XsMhTANEaDi7E1yNOnR0TMl5akf7OQrTnIUanoZ83lgzECgbKcVpAL3AEKYRwez2qlZXZ1ndKk+wvpYXRnD5447Lnds6TgPoBBGhGhHMx6Oz/L2uXbDheEDDMeh5EYyXf1+XF2KQT1gOjoWYiD8ofq1HjhyJzp07Y8KECZg9ezY0Go3DdQKuX7+OiIgIrzWSEELKi7wi087J4Toh4IEhIYQQ79GLIdCyUADSsE9pEOgqBFQSADoL/9QEf87OsXzv5DxLnTLtUPKYo7LWO5/akvuNat9m+88mSqckO7qGq3NcBWvOpjN6b3MQ5UGRuTqOZ9ByDDqFI7I8uaXxZpAViLX0PB2tx3GsdKQhA6PprT7FcaZNUATON9OTfck24gz2jUaEAK4ZSSMN/UtVQJycnIyvvvoKgGkK8ooVK9CnTx/wfOlNEseBMYZ33nkH3bt3935rCSEkyDVPiUaNuDAUlQTPXzfziw3IKSiBhueRGKkPdHMIIaRcikAIdAhRFPq5CvtsQzvbkM+yw61HgaCyY7b/djsItPmAqzRstC7DaRhCBSBCy2TDNkcBnLq1BR1/0HUnNDRd3/WHZ6Vhl5qAyt311XgAnADoeQajIIIx9+5Z/PG30YqwhhwnABpehM6DviauMcaZpidzDNpyMj1ZtGpiMK06ruRdGshRrYxxbm9oUtFCQ6PRiB07duDrr7/GTz/9hIyMDBQUFCA+Ph4NGjRAp06dMGTIENSqVcvta7g9qnTp0qXo0KEDGjdujAEDBoDjOLzxxhs4duwYTp8+jYMHD7rdKEIIKa/0GgFVooLp1z7w6ZFrOHo1B62qx2B4m+qBbg4hhJRLURotQnktAFOIpyToc1XGVM72POn3zso6Omb9Yc5ReOcwQISUdWjjesqxTNAH2zJ2RSztNYWGIkSNEeDUTZn1ZESfq/BLaXDlr8DPKwRAyzPoBRE8jK7LB0iF+HjPm0YZGnkRKOdTZh0Jih1pOQaUTk/WlvZ1oHvbVUAl+KDbvPGclXyS0dJIw4DKy8vDihUr8OabbyIrKwtNmjRBixYt0LlzZ+j1emRnZ+PChQtYvnw5nn/+eaSlpWHBggV44IEHVF/L7dCwYcOGOHz4MObPn48PPvgAgiBg+/bt6NGjBzZu3CjZaZkQQkjgmHdQvlM6dZoQQoh6oTyPcN68hqEJxzkO+xyFfy7LyQR+LkcKWh13FPJJw0Ora0DK2QhCu5AQ9uTCMLlysmsLCqYQS5RZZ89ZWObpFGCl03vd+ajp6Vp9PhtpJzBoBCN0ghFgyvuaSCkKaHiA50VogiA09FVgIqh4n/o0YOQYeM402hAcgwD4dTyc3XPzwf9/Xb2DvDF0Qcn7hH5OBFatWrXQtGlTLFu2DIMGDUJkZKTDsr/88gs++OAD9O/fHy+//DKmTJmi6loerV9Zq1YtvPfee55UQQghFcqdwhKEaIWg2qm4S/1EdKqbYAkPCSGEqJegZ4gs/QDIc3Jhn4k55JFfE7B0RJ3duTJBodW1bessq8++jKNz5R6zbpOlPOzJjiBUGA46Kit7joaHVjBCpy2xjDRUHOip/HDujd/S5XrqrIaHwIvQagzwztik4BOoEUV2vSkwaHgRvExA6y5fPjdfhXq+eJfZ9QNvmgouuhnQeruNvnidvP36yP4UU/CzTQjgVHsaaQh89tln6NChg6KyrVu3RuvWrTFv3jxcunRJ9bXc/gTZrVs3rFq1Cg0bNrR77NSpU5g8eTJ2797tbvWEEFIuvfW/s7h9twQDWlTD/XXiA90cAEB0qDbQTSCEkHIvXMsQyYkOAz/bsE8u6LOMGJR5TL6840BPMlrQyRRi28cdlbG7lor1A52VLztPwbp/Gh68YIRGQZDl6Qi+yr7LLHgGjheh4Y0+H/3m711gLaGKD0JdJTMy7UZ6caZNLThOtJt273bfOHhu3ghEzKMGvfmuYIzz2sg0SWhm2w8cAw9YRho6rUfmmDuj9Jz2uZoRmArLKRnV6a1gzFlAGcjoTfRgTcOgmErvBUoDQ2uRkZFo0qSJ6vPcDg337t2L3Nxc2cdyc3Px3XffuVs1IYSUS4wx3Ck0TQEO0wXXuoaEEEI8E6szIJ4vsQoNzWGh6wBQScAnPe54UxHb+uTLy4wCdPBB09kGHa6CNcVr/SksxwQeTFMCTlsEzibI4ip5yMe8/BGdCTyYYACnKTGFWfDNh2mvhRdeeP7eWILNrT4STAGtIBjBRPcb4WkfePL6etJ3IjiPAlzb95DT0IwHBPMoQxdrGiq5U1f0/nXQHrX9bdsej0Jbjnnl/3vOfsYHdqSh+z9bArgUo8+sXr0akyZNkn2suLgYzz//PFauXOl2/R7NVeMc3GXs378f99xzjydVE0JIufRkWh3kFRpQNTok0E2xYIyhoMSIO4UGxIXrgmrqNCGElBf3hBQgnrcJ9yzBYVk56VRj+7KAfQBmP8rP/vpKpwjLtUPNed4o7y5Ow6NEWwytvgic0fXmHMEyYsTb0908rU9JuMQEHkbBCEFjsISGnlzXndfCnQ/vbl3HzbBN7bUc9R/jYAqxOBGc4PlIQ7X9Zn4eajfdkDwfhefKPR/BReDvsp9lfv447IPSUZ0oHdVpH8Sp7ITSa7vz/w2Bs12ZVTl3R2Y6HYXp6lyZY86C1Uo/WjuIPPnkk/jvf/+LNWvWSHK4X375BY8++iiuXbvmv9Bw8eLFWLx4MQBTYNi1a1fwvPTtXFRUBIPBoHpxRUIIKe84jkNSdCgQHeiWSOUVGbBox0kAwJS0OqgeFxbgFhFCSPkTpi1GtLbsA1nZaELHo/zspgUrmALsbFSe05BQxQfEYB21xwQBEIzQa0rAce7t6OutEXmeBpLuhAzuBW/qzjFfg/GmYEXDG8E5GDGktm415dWGN+a6XQVQgFw/Oj7HWQBnG7K5Drdsr2rua4BxptGGtn1tDmXUvPZq3+PORhPL1m/uEwU/U2zbreT1sX2fuPrZJftecfSceAZwpc9Zpoyj9rkMYmXaqOQ9bBu6Kf7/iNX11ASPggchJw9178NADkGgNQ2l/ve//2Hs2LFo0qQJ3nrrLTz88MN46aWXsGjRInTq1AlffvmlR/WrCg07dOiAWbNmgTGGl156CSNHjkRKSoqkjE6nQ6NGjdC/f3+PGkYIIcQ7wnUacJzphiiPdlAmhBC3VInJQlWdaY1YNaP+XI3SK8+baXj7Q5soCOBDChEWfhe81UhDpddR+oFXSX3Kyrj+2CyK3rqW6zKunr91HUwQUKQxQK8tAceb+lpJGKWkj73RVn/Xo+haSkZwytTDBAZj6fRkDsqngisdUaj4fa8wbFTz/yMl6+vZ95u6ENfRaDfZdnIAx4lgNmt1unx9bQNiRYEgc9wOh9dhqkaKiuBUr7PImLrp4NahpNJdsBnjwAfwVxeD+2saenuph2DwwAMP4Pfff8eMGTMwfPhwVKtWDVlZWVi+fDmmT5/ucf2qQsMuXbqgS5cuAEwjaiZOnIjk5GSPG0EIIRVBidF0i6EJsum/PM/hyS51EK7XIIp2UCaEELeEheVLdqFXE/bZrs/nS0x073eQmgBQUQjjRlgmCgJKNAbodMWW0NDZtVyFdq4CO+d1KzlXfjSk9YdZweYTv7J6HT3m/vO1rZcJgIEXoRGM4GB02S7zc+Jlitmd62DEnTXrblETdsrV48n55uu7+v8zY5zTUXSWa8hNpeVMx7nSL8BxOKNkSrDd6D7F03dlRsvJ9I1tfQ5DFuvRcE5fI5v6nG4cUlqfktDOMqrOpk3mfrZ+HhxTN4pOTSCmIoMyvdeUlWVM3RRgc58p/d1kfh2U/Maw/Q1m/V4OBBppaC8sLAxNmzaFVqvF1atX0ahRI3Tv3t0rdbv96TE9Pd0rDSCEkIri4Pnb2P57BqpFh2Ba93qBbo4ETUkmhBDPRMXnIDrM+x82lH6AcRXCOQ2bnASJDtdhc3A9h9dxWN7+2g5HGvICinUlCAkpBC+6HmkoFwI4eq4On6cXnr/aoM9RuKc2xHRW3lFAYj5HFERoBAM02hLwvPOA1llY6a3nYqnPzfOcjR5yVaezkVyeBJJlU8EB0cFUcGeBq6O6radNuwrXXP18UZL7MAVD4zglozDNZZxc1LL+opKAtuziVtcwh4UMtsUcB7UyB+WmIzt6PVSEotaj1F0Go9avs4LfE+Z2KB7JyDHFywSY/z9i/dxoenLwuHbtGsaPH4+9e/fihRdewIgRI/D444/jvvvuw8KFCzF79myP6lcVGg4YMAArVqxAvXr1MGDAAKdlOY7DZ5995lHjCCGkPLlTWAIA0GqCa6QhIYQQz+kTbyM0qvTTmNqATiZYcRxK2Zyv5Fy5YM6mjOz1bEef2bTdbnSaXB1unGNfhi+tSgONvhi6MPuNUJTUI9tXCkJLRXVDeUipNOBTel01YZ45xHO1lpooMBQLppGGvM2ISfvrGR2GFrzc0EOVbbZut9yjagNf27ZaN9F54CQ/ItLdIJOzhIYcRJ5B4JkkNHQ2jdTV6EdnazxKRys6X4tPfpSi85GjikYnuhjp6DCAs6rHrRGOnGlNQ3AMvNINfjhlIxuVjvpTOq5c6WhGEZyiNWvNfaFkJKP59XH1nGz7hbMZvUmCQ9OmTZGUlIQffvgB9913HwDg+++/x9KlS/GPf/wDn3/+Of73v/+5Xb+q0PDOnTswlv4Cz83Ndbh7MiGEVEbtasWjdmIEBAc30IFk3kG5xMAQHaYNdHMIIaTcEaILoIl2MUrI9tOiVShkFy7ZBX/WZW3r5R0/xpRdwy5EtA5vnAWMNiGPyzDSSXuchnUibwpWNAZodCWqQ0PH1zIqOt/UBid9BFOAZP8cXLwn4CRstHm57Op2GTTahyLmPSrlw8eyC3ICB4EXwfMieFej31AWgNnXqSy4KysvH1LZTuOWtld6jjlgtA3VLEGag+Omk2zqsnqMs4zUkrbdaZDlJMAynydyPDgw8LZTOp1MmRU45mIar+NzORfnCnD+uKuVBVz9adzVFFzGFGx+wjinGzaZXwfbehjHYPpfGUfhq3TUnIPw1ur1dvScbN/Sjp6b7esl1y6510VJ2xxd1/F7xP6YXNArd213dvz2NpG5v6ahp5tcBaOxY8di8eLFCAkJsRzjOA7PP/88+vbti8cee8yj+lWFhnv27LH8e+/evR5dmBBCKprYcB1iw3WBboasXX9cx94/b6JGXBieTKsT6OYQQki5w1WLApfIAHPAIpZ+dLIOjcz/Fpn0e7ljotWHMevMxvzJTbR/jMkcKytXOqrJ+gORpJxMwCYJB0vPdxBYMpmykrrsrmH1bwcBpW04aeQ00IQWQwgthMAM8u1xcG1XgaTkMScBraNRkC6vIfO4qxBSdX2QfuBVMspR+n1ZgMoJDDxvhFZbAo6zHxvlKnS0tMdBGGtbUs0IyrLnKL+RhbNgVE07AW+GoY43BeF4EQLPINjsniw6OMfZ+oiS9TIVhqNybTYHVnLP03r0omw/mMNQB+GRyx18OdfBjcsRcA4fNk1NVrLmnqsRgab3seuReK4CUjNnQWnZKEHl07KVBHpKA0zTteWuaX/MfF016y16G01Plnr11VcdPta8eXP8/PPPHtXv9RXxi4uLodMF54dmQgiprCL1ph/35inUhBBC1GFRMWBRZYGh9X858/p7ovzjlv8yF487ChYt17EJFAGrkJFJyjDZYBGlZWTCGPNjQFkAKfIwB02cg4DRctQmXOSsypXVZS5rH1Ayxps+tApG8FoDeLnQkElHXHKCaN8O8zUFq+uay7GytlnaKZS13a5PYBq55PgxF2GkIA1fOOtpwKI0bGCMB2dX3up787Rj60BGKKtPtHpulucN+XCIExjAc+B40+O8VT9aysidx9lvmCIIciEdU7RrtKMRcXIj2dRtJWRfmuflx8eJMhUzB1ODGbOfJuos7Cl7v5UGWaVfjkbJOapLEpg6GynJMY/OsT3PWZ2ANDSSCxCdBZO8y1DTuk12D1vOdziSrrSvAZnRoUrrcBV+oqwPHAWo5ufhap1BXsFGLd5oj5rrma7puu2B4O+RhmfOnMHy5ctx4MABHDt2DA0bNsSxY8dcnscYw9KlS7Fq1SrcvHkTLVu2xKuvvor27dtLyl27dg3Tpk3Drl27oNVqMXjwYKxcuRJRUVGq2ypHq/VslpnboeH69euRnZ2NadOmAQCOHTuGhx9+GOfPn0fHjh3x0Ucf4Z577lFcX3l/IQghxGAUg27nZLMm1aKRHBuKyBCamkwIqTxOnjyJadOmYf/+/YiMjMRjjz2Gl19+2a0/cBsSk1FSVbAKCI2mf9sFh0bTF0rDOUkZsawMYDruLHh0Fjq6CBw5hwFk6RNizKac9BIQURZyORjNKBmgJgkay743HZQZxSg75VoErzVACC0CbzS3235UIGO89COxTAhZFjAapeGkghGTzkYiStptvT6dk1GCsnVbQk1zsCRKAzqr5wUA4J2PVORt2mAbdtp9UOYBjiudnmye5szZPwfb4FIuZOI4+01rzNON5aYYiy7DSftjsqPXVOyIKxd4AvJholyQ6Iijuz7JmoQ2OyfLTbtlDtatc7S2ofm5uBNiOpvG6ixEdBpm2k4hh7LzbNujNkC0fS5y+5mXl/DQVTus2+NqtBwP15ucKL9ecAaH/nT8+HF88cUXaNeuHURRhKjwh8TSpUuRnp6OJUuWoHnz5njjjTfQq1cv/Prrr6hduzYAoKSkBL179wYAbNq0Cfn5+Zg9ezZGjRqF7du3++w5qeF2aLhs2TL87W9/s3w/bdo06HQ6vPbaa/j3v/+NF154Af/5z38U11fZXwhCSPlmFBnm/fc4QrUCRrergdqJEYFukkR0mJbWMiSEVCpZWVno1q0b6tWrh61bt+Lq1auYOXMm8vPz8frrr6uuzxBZFcbo0rBRNIITDaWBoGlEHCcaAWaQCRWNdoGg+bh1uMisyjgKF70dLEJkdo9xNqGidJSidFSj3RRqkZOGXzZho2REn6W9nGXkH8fx4ARj6dRZm5GGjLMbRWepVzCPPLQOqUTL45xgM7KQyUy5tgofrKesWo8mZIwDeKspvpbnUjZKUDq6zNyust2J7UYCCkz2HNPzYjZBolEaJNpGVlbfcmCS52e3Rh7HwPEMHC+CM79QTnbZlrucbYhoO0LP9L3teok8eKsdIOTWJ2QyAZbtMbkATC74chVGcpbNMsqenLl9tqMllQac1u1ytI6d3Yg+qxGItvU4ml7saASfu2sdeuscX3EVXHmyVp0nu2QDrkf2merwrA1K2qG0Lcqu5bJIwJjH7bp7rlr9+/fHwIEDAQDjxo3DoUOHXJ5TWFiIxYsXY9asWZgxYwYAoFOnTqhfvz6WL1+OVatWAQC2bNmC48eP48SJE2jQoAEAIDY2Fr1798bBgwfRtm1b1e31NrdDwwsXLqBx48YAgFu3buH777/H9u3b8eCDDyIxMVH1ts6V/YUghJRveUUGMAbkFxuho92TCSGV3F9//YWqVas6fPyXX35B69atfdqGt956C7m5udi2bRvi4uIAAAaDAVOmTMELL7yAatWqqasw5B6wsFBALAGYAUw0mALD0mm0nKHI9F+rMNES8pnDREtIaBUmiiKY+RgAiEYw0SgNDiUhoc33lvpkpjw7DBIFBUEiZ/q3AFP4Z9oFpPR6pX1iNzrRZvRi6fAacx5T9hw508g5kYc5iOQ4U8DE8QCnMQKlIw05HqVhVlkIxvGlF+StwjeelYaWViMLrUJE64+J5s1LrANEjrcO2WSuBXM7YLm2pT6r6bCczahCjrcKD61HRTmo1/oc02OQPGa95ap0mjlvH9hZlbW+vnVIaR26mZ+ro6nNdt9bPTcl5U3HpCGdXEDnKJxzFdbJBXVyoZf8MdFuJKez8FBJneY2yY1+k+MoOHRYPogCvUBzusO1iz71dWCoJHzztA1K2qHkOqZruSyi+Ho+w5T1iaNz1XK0vIEz+/fvR25uLoYPH245ptPpMHjwYGzdutVybOfOnWjevLklpwKAnj17Ii4uDjt27AiKrMrt0JDneRQXFwMwbZCi1WrRtWtXAEBSUhIyMzNV16dWRXohCCHlW6hWwPgHUnGnsAQJEfpAN0cWYwyFJSIEnqNgkxDiU82aNcObb76JoUOHSo6LooiFCxdi0aJFKCoq8mkbdu7ciR49elgCQwAYPnw4Jk+ejF27dmHcuHGq6tOFVIUmJBSMGUxfonkkXKHpv4YC039ZaZhYGiiaQ0RLmAiUBYpWIxM5Q3HpY6YwkQFlowtF8+g2Y9mUZ8vjYmlZoyQo5GxGKdr9m9mORCwNEkUGh6GiOaMyf1bjvRsigmlMYZpgNfqtdHQfEzlJgGi6TukoPvP0Z0gDxLLnBpcBoum8shGIZYEYrB4vC9WkASAs51nCQKsytuGhqSusRhjK1GsdzMmdY8s29HJeNriGEDnaTMXZ93LHZHepVnxM+SYvSo6paQ8gH2w523RF6fW8Wd5ZSOMsQHJ6nsNrOTzFdcAGDrB8qTvf3edYdr7zx4MlHCwXwaAT5WH35JMnTwIAGjZsKDneqFEjXLp0CQUFBQgNDcXJkyftynAch4YNG1rqCDS3Q8MWLVpg1apVSElJwb/+9S9069YNer3pg/KlS5dUrWforor0QhBCyjedhkf9KpGBboZTL39xAvnFRoxoUx0tqscEujmEkApsyJAhGD58OEaPHo3XX38d0dHR+PPPP/HYY4/h6NGj+Oc//+nzNpw8eRITJkyQHIuJiUFSUpJb938cJ4AXQiyBIeNM4SEQYhp5qAktDQtRNgpNNAVkHADGC5bRiABKRxeWBWjgTYvAcZbHjABvWinL8hFHNILxpev5WT9uDr6s/ggvGb3I82XhmfnfHG9qpyiWHeN5U6NFZnWMKwsOzf8uLWZZ7Mr8fel/OV4atinuY96NkxSSC4UcbbIiX4HyAEh1GYW7Ozury/r52QVucnWYM1Um3enYWVuctc1VWbl2AvbBXDCGhd4ICs1fZWNZfRf8qQ0JnZ3jsK6gCwnt/+3qXF+PICxPAaHScFDS5nI+yjUjI0PyfVRUlFf3u8jKyoJer0dISIjkeGxsLBhjyMrKQmhoKLKyshATE2N3fmxsLG7fvu219njC7dBw0aJF6NevH5o3b47IyEh88803lse2bdvml9F7/nghcnNzkZuba/ne/OYyGo0wGpUONlfHaDRCFEWf1V+ZUd/6BvWrb3i7X/UaDneLROTkF1Xq14rer75B/eo7/upbb9b/1ltvYeDAgZg4cSKaNWuGUaNG4d///jeaNGmCX375xe6Pub7g7v2fo3s/MB3A9ADTgMFg+mIGiKwIgLZ0xKHW9KGKcQCnBVAEcDoAptGIHM+bRhLCAFPCZgDHysJCE2PpBiTmtRAFgCvdgIUrXVORM4LjNKbgkIkAVzrt0/w9ADDRtDYfh9KQEKaUUhSthwKibPggKzvGozQotHrMHDDaze1iZcVsRxraKR0RaN4VwPykS783MD1ECDAybWkgaWo/E83Pgy/93qo6S5nSdFYsq9tyHspGIcL6mGV3Ar6svPlcS7hm1VZzoMaXPm4+3XweX1bG9jlaNnGx2tXBEliZRyoym7ZbX8vSBqvzrXdv5qzCAevzZeoQGQeRE2DkBIi8IA0KrcvCPoSRfC+4DvlchoS869BLLlyxDUoUB3su2qO0TXJtcFSWCQIYL0AUNLBaCdPHAaHsYa+OIvRnOOhsirH1eYznTX/w4AVwpUGtM66mLjvL27yxBqGrsM5b04mVjZJUEmJa/VvBDum+whS8ts7OBWCXV6Wnp2P+/PmeNi3o8DyPqlWrYtasWXjyyScRFhamug63Q8MHHngAly5dwqlTp1CnTh3JTdnjjz+OunXrult1UFm5ciUWLFhgdzwzM9MystLbRFFETk4OAPembRPHqG99g/oVYIyB47z7y9Pb/dq5Rih4LhTxoQbcvHnT4/rKK3q/+gb1q+/4q2/VLi3jSp8+fbBjxw60b98ey5YtQ6tWrbB//35oNG7ffvqF43s/Bn0IM31AYxwY48GYAIimTaaYZRovByAUYEbLY5yx9A/c5lCPmdcstFq70Gia7mwK+4yAyMBZr0XIrMI+UQQYM037ZeZ1E8s2KeGspx4zZnUegynkE23OEcs+HVtCR8AuUORQurYhygK/0hGGjFk9ZnOq5cOd5TFLaif5rwgNcnU1AcaDM4fY5k1LLO3jJMetr2W+juxoGMkH3NJyolx5c122u37Avqx1gAcHx521yVIGduXtyjH7OuW+tw0QJKOwrNvF8yiIqQom8uCZeZ1B67Kw4SocVPm9bfWAXb/YBSYyJ9mFmh6NOlTQRgfnyk2FNf9IYDwPQ2I8RGYaFSx7bYfBnJo2OKjHaSDohfot56g77rI+d0b68TxQJcb089nBxqquQjZfBo2Awumx5sHdzuopbYej2qzb4aweq781OC5T2mbBus6iO8BRJyf5kAgPpieXPtODBw8iKSnJctybowwB0x8oi4qKUFhYKBnklpWVBY7jEBsbaylnvsezlpWVherVq3vcjsceewz5+fn417/+hSVLlrj1GdCju7bIyEjce++9dsf79u3rSbWK+eOFmDlzJiZOnGj5PiMjA23btkV8fDwSExO99EykzH/pT0hIgCAILkoTNahvfYP6Ffj89wwcvZKDxtWiMKilysX1HfB2v/roR1a5Q+9X36B+9R1/9a231xjcuHEjpk2bhlq1amHQoEFYuXIlevTogXXr1iE1NdWr15Lj7P7Pep1DW47u/aJjCxEby4Exo2WKMkrXNzStX1hSGhQ6Wc9QNJhCQme7LDPrzU3Mx5mlLESr9f64snUMOUt4aDXsz3oNQ1j9W2bX5LL1DG3/XXo6czKiUDJwsTQks8x/NT9mHUjZ7H7MODCRg5HTgBl5xOadBG8OUUsflztPOu3W8WPWAaN8UGhuq/0UX0k9Mo/bt8OmrU7K24UTcs/H8r39tWzrsBt956C9AEx9zXiEX7sIzigNVzwePeiFKcZK6lAyalBpXYqnOKuYVmx5Lwg8GOOgvZQBZpCPlOTbJFvUq1OJebVTmZ0FgA5DHGdBo6tgUGWoKJT+keHcDctmSnI8mTrsjynDvhgZ6FE9MmVKxHwFtfuGN0YaJiUlISUlxZvNkjDPqPjzzz/RokULy/GTJ0+iRo0aCA0NtZQ7elSavjLG8Oeff6Jnz54et2PdunWWf1++fNmtOjwKDf/880988sknuHLlCgoLCyWPcRyHNWvWeFK9S/54IRzNbRcEwac37jzP+/walRX1rW9U9n7NKzIiv0SEkcGrfVDZ+9VXqF99g/rVd/zRt96se9iwYdi6dSumTZuGJUuWICQkBCNGjMCjjz6K5s2bY+XKlZJgzhfk1q7OyclBRkaG0+nRju79jMV/gRWZbp05ZgBnKJ1ybCz9r3m9QssuylYbndgGg6JcMGgO8UqDQZsNTyybolh9L/m33Q7J5n87CAWB0vCw9Akym5DQdhaz5L9W67PZhIKWnXct9ZqPm8uZ1mRktqMNRc60g7IG4AoBzmgfoHE2gSAHlAVHklCytG2WD5WsLEBjZeda2qA4DDRvZsLblbUvbz3yFGXnWgdd1iMMHVzLPgi0Dyhdtd30GKTf86U5dwkAg02A53IDEOkmK7Z124dd9puy2IcmzGUY6aodjvrMUTlp6CR3rv0Ozc6u4aissfRvCYZigDNKd7i2LWt/vIzaacLKpghLXwiRcbLHTUdUBoxO2gY4D8bK2mjfDmdtBGOAgSt9X6u/rrR+R21znviJlpVpHZ2vJOxzPefYG7syl9akIFy0f38ble6mUkl16NABUVFR+Pjjjy1ZVUlJCbZu3SoZZNenTx9s2LABp0+fRr169QAA3377LTIzMxUPxvvuu+/QunVrRERE2D129+5dHD58GJ07d3Z75KLboeH69esxfvx4hISEoGbNmtDpdJLHvT1NT44/XwhCCHGmc71ENKwaiZgwnevCAcQYQ5FBRIiWQh1CiO/8/PPP+Oabb9C1a1fLsebNm+PQoUOYO3cunnzySZ+Hhn369MGiRYuQnZ1tWUbn448/Bs/z6NWrl/oKi26DK+RhuxOyOSzkjKWhoUxAaAn7SndItgSC5nCw9Dy73Y9tg0FHOx87DARtRxNCGg7KjRi0DQEtoZ7NcZnRgqbj0iDONhx0NFqQMR4ip4FoFCCWaMAx63NlRgpKRhLaj+5zNlLQ1ShB67qcB3FlgWfZMfkRht4aIaioPbLnSdtlZAJEkYfRKLgcaSh3TO3IQG9tOOLtHYk9XT9QybqEjOPAULoZimjfD4B8kOXNNQMdlle4VqCqtrkxhdlr12R86X5MHKxHOAbDyD9fjvpz51pKr+eovkBGhqbx9u7lTe6cl5+fjx07dgAALl68iNzcXGzZsgUA0KVLFyQmJqJ79+64ePEizpw5AwAICQnBnDlzMH/+fCQmJqJZs2ZYtWoVMjMzMXv2bEvdQ4cOxaJFizBkyBAsWrQI+fn5mD17Nh566CHF+4R07doVP/74o2z5kydPomvXrh6tW+12aLhw4UIMHToU7777rluLKdoK9heCEEKcqREfhhrxnv8s9KXfr2Rjy+Er0Ao85vZrHOjmEEIqsKNHjyIy0n5Hea1WiyVLlmDgwIE+b8PkyZPx73//G4MGDcILL7yAq1ev4plnnsHkyZNRrZr6ZSQ0uVegMa+GYxsImr/gIBA0lJSeJzNa0Dr8kwsDAfvRgp6MFFQTBqoNAiX1lIWBcsdN30jrM0ILMVQDY7EWMJofcxLeuTldWEloCNv2qzhXsjGDs2nK7o4iVDE92FE9olAWGsLo+Hz579WOCFQWuHk7/FOz0YiqMFLlSEBRFGAUeUAULOuUOg/H5I+rDf78Hfr5asqvqsBP5ACRg7H0v67qVtI2Ux2enQ8ET9jndl025Yyudpz3JQ+mJ7uz6/ONGzcwbNgwyTHz93v27EFaWhqMRiMMBunw1ueeew6MMSxf/v/t3Xd81PX9B/DX93sjuewLBAgj7CVDlhEoQ7bg+FGhKLgohYoLKwoKrYIDpBXBKlKqVaytOFBorQICQVRERHGCBAGZIULIJOty9/1+fn9ccsnlRm6P5PX0cQ/JN9/xvs9d7nKvfMZK5OXloV+/fvjwww/RqVMn2z46nQ7btm3DvHnzMH36dGi1Wtxwww1YvXq153fJzQ9mWVmZbQSur3wODc+dO4e//e1vAQkMgch/IIiIol2sTgOzImBWFFgUFVoNF6sgouBwFhjWNWTIkKDXYDQakZWVhXvvvReTJ09GYmIiZs+ejWXLlvl0Pm1eDrSwD/T86g3oaqiwD8OEa/5d9/++hH8Ox9XZx2X4Vy/4a+i87sI/VbYGhkpFLFRLba8In4I/hyCtgV6I9c7pKviLlNDP7ni313IWhlkX8bEoGlgsOgiz/z0NXR4H347zZl9/Az9vhv36EvYpQoZQJaiKDKlOZ59Ahn3BCPoaDtICFPR5eW7r8S6+L2QAEsxCbrArXIP3L0AhX6DmHvT0XIBntQOe9xZ0dj7F19AuAFThx0IoPhzXoUOHBoel796922GbJElYtGgRFi1a5PbYNm3a4N133/Wqpn379mHv3r22rzds2IA9e/bY7VNZWYn//ve/6Nmzp1fnrs/n0HDEiBE4ePAgxowZ41cBNSLxgSAiakxapxgwPbMdEmN1kEMwhQQRUbj17NkTO3fuDMi5pJIiSHpXcwo2tLBI9UlqFhPxdlhwEIcE253P7lj7c7kbDuxpL8CGhgIrkg6qWQtLlQ6SxcUQXSdDgT0dshstQaC/Q3896fmnCg0URQOLRWObf9KT3nu+hoDBCAu9CdD8m/fPg/3dBIBCkmFdYlyG5GwV7vrHhDgA9GeOv6CFf7bj3XM4XkiQanqh1fSqjbDwL5KCP5f7BvC6wSD86Gnocw/FCPPhhx/iscceA2DNxJ577jmHfXQ6HXr27Im1a9f6dS2fQ8Ply5fjlltuQWxsLMaNG2ebK6YudyvTERE1FhdKKvHiJz8jMVaHWcM6IDFWF+6SnEqI0aJv25Rwl0FEFJXEuRKIMutHKSEkx5DPFszVLLihqd7uZ6Dn5Hue9O5zO7+fD4GeJ/u6mtvP0yG9qqxBVZIeFZfiIFcP4w52oNdwIOc6JPOkF6C/Kw17EqB5Mny3/nFCo4FZ0UCY9ZDqzXUVqt583oWGTnd1H2h52C4N1uNviCfJkBQZQq0dCh6SobpenLehmqzHuxcRPfdUGZKQYFLlBk8WqCHFQOCDO097HgLehWCBPG9YhycTlixZgiVLlgCwLpa3b9++oE2953NoOGDAAADAnXfe6XLRE38mWyQiihYllWaUVSkoq1K4wAgRUSOlFBtgqfOJy5+wz25/b4fyAnC3oEdDgV/9czU0nNfbXnz+zOGnajRQzFpYLNp6PQ0DE/oFugdfoIbxhmPOPlVoYFE1QP0hsx4Gft7X5HRzwObp8yWE8ymI9CXsEzJkSNb2dtIL1F0tbs/rQU3W492LiLAvUOcR1mGrigehIRC+sC9cQZ/deb3sKli/DksYuxrW7Zzvy7GNjaoG9175HBq+8sorIVkhmYgo0qUlxGLKgDYoNVmgi4J5AoUQUAWgkfkaTkTkKVNeKirKnAVznvfQa+gYT3rquTs+khbg8ORrh4n1ZS1MJj2kCgNkRYnoEM/Xc7vaz9W+wQrxVFmGqmigWLR2qycHO8QL9NDbYPTYC/iQW0mGRpWhqDIa+mwfiN5vgQjwAhl+eRK4BSy8U61tbRYSPFnwItrCO2+jIW+H4npzfl/nFAwEDk8GfvzxR1x2mXcLW5rNZpw5c8Zu/Q9P+Bwazpw509dDiYgaleQ4HQZ1iI7pGF7/4hSO/HIJv+rSHBN6tQp3OUREUaMkPxnFZbW/OjsNeDyYS871tsCsSOtTSOZBPc5qCtT1AWsoJTQaVJljICoNkBQl4PPl+RvWAZE3X57z83sQpGmsq/lC0QGK6lNg5/G1vD6nm1oivNed0/OrMvSqjKrq3m+BCOwaw9Baj+f28/B81p1laKt7GooGDvS3p507wQzraq/h3f6erCLtcIyba5h9OF+gqML30NLbxz1SDR48GKNGjcLvfvc7XH311dDr9S73PX78ON544w2sW7cO8+fPx/z58726ls+hYY3CwkIcPHgQZ86cwcSJE2E0GlFZWQm9Xg9ZjvweN0RETYkQgFkRKKkwh7sUIqKoUl4eh1KL/Zy1DX0wdPd9Z6FcDWeBobvzeR9aOQ/t/D2Hq/093VeoMswW6wrKkmI/3Ye3PdeCHeQB3reZ27p86IHX8Px2bkI7SQNZlaHWmWfPk/MGc+GLaBlG6/U5VBkaIcHiZMhsoHrhBXqRCyA4oV6we+BJMqAI69BZV89VX3qaed/Dz9vzBzbQc8eXw5w9vxrjMN9ocuzYMSxbtgw333wzJEnCgAED0LdvX6SlpSEmJgZFRUU4ceIEDhw4gOPHj2PAgAFYu3Ytrr/+eq+v5XNoqKoq/vSnP+G5555DeXk5JEnCl19+CaPRiBtuuAFXXnmlbWJGIiKKDIM7NUOfNslokRQT7lKIiKLK+SIjhDYWACBLge2qEIhhXt58SPW8B1KAhh56FOZI1t5vZj1gMgCK/UfSBsMqPwI0uxr8uoZ/5w/JnG+ovh9Chs6ihdmsg91knQG8TiDPA0RvzzlJkiGpMkyKBqI6oI2koC0Ydfh2fi8PgOPPlKTK0AsJVW56GvoStvn6iu/ra7svbQH4F+R5+/hawtjTEJA8en9ydWxj0KJFC/z1r3/F8uXLsXHjRmRlZWH79u3Izc1FZWUlUlNT0b17d/zmN7/B1KlT0b9/f5+v5XNo+Oijj2LNmjV45plnMGbMGHTr1s32veuvvx7/+Mc/GBoSUZPw2ucnUVRuxtDOzSJ+mHKXFgnhLoGIKCqVm/W4pDj+wUUKcIAYSr7O7eRbrxhPjpEhV8+z5yzI8qeOQPaaCnTIFZaeX0KCVB2uNHRAuMI6IIjhWrDO66QRJFWCTpVgViWHKQya4pBXIHjBnSSs51bq9DQMdXAH+B7e+TPfnr89/7x9TCx+Xs8fqpD8GJ7cOELDGvHx8Zg5c2ZQpw/0OTR89dVXsXz5ctxxxx0OqyR37twZx48f97s4IqJo8EtxJQrLzajy4ANOQFhMwPlD1ptqBnRxQEwS0PYKICEtNDUQETUxFyoNUGSDw3ZnHz8a6onobdAY7RP+ePzuKGToFQ2qLM57v9l28/NDnz8fGkPV48i3wMfza0iQAVVGRZ3eb4G+Rg1fAqJg33//ruPd/pIqQSckVHowz159oRyCar2eHz8bYQjZrNetrVmSZFhUGVWKDKG4OShA1wb8nyMvEH92CsQ8fd4+fh42b1Cowvf73FjmNAwln0PD/Px89OzZ0+n3FEWB2cz5soioaRh7WUsUlVcho1lc8C6iKij78T9478Dz2FOeg2M6Ld4/ew41s2uVyBLmtUjDEG0yxrQbjS7DFgLxzV2eTlT/ZiBJjeuvbUREwVJk1kJF7ZyG9V896y9ILzv5KOjuJdddMOhNyBiogLH+/QkFSchQLVpUmHUQnvQ0DPGHv2D8aTBQK3l6W1vNkNnKOuGKP6GPtQb/70u4Axh/eyE5a0NJkqFXJVQpUoMBrb/PsUA8nwLxPA9IiOXDMVL1fIbm6p6GgXqN8Pdno0YgfkZs5wrw65+3pwvv8GSq7+LFi1i9ejW++OIL5ObmIj09HYMHD8Z9992HtDT/OpX4HBp269YNO3bswJgxYxy+t3v3bvTu3duvwoiIosWADGPwTi4ECr9ej5e//is261WUyTIQZ51T67hehx5V1j/Q7I+NxQFDLA7AhDW/bMW41/6DO9tPQterHgXiaodMF5RV4ZU9J1BSacYfxnZDarzrlbaIiKhWaZUESbKP5OoGaw2FiIBjoOcqDHQV/DX0dx5P51r056NeMMNESZIhqxLKveglFIlCFWb6cxlJlRCjAlVOhswCgR/CF6jQpUagAtxAhbaA65okIcEiJJiF5OGqxwErKSC92GpEWgAHOIZwsipZF0JRJZcLSrk9X5iDuIYE47XF516pYcwMhR9zGvo+F2Lk+uKLL3D11VdDVVWMHTsW3bp1w/nz5/H888/j+eefx/bt23HllVf6fH6fQ8P7778fc+bMgU6nw9SpUwEAZ8+exeeff47nnnsOr776qs9FERERIIrPYv+2WVgpclEYqwEgQysERpVXoL+qQbO2QwFDM8BcgZYlJzD50gXsMRhwUavBjrgY7LywEzf+80M8OGY1YrpdDQCI0crIL6sCAFyqNDM0JCLy0EWThDIh2YVmdcO9uoGe52Gi5FnY6GSbq489rkK9hj4meRIGOus96Y63ndklVYZkkVFUJUPUmzArHD0fGzMJMnSKjDKLY1tHwvC9QIeMDQlkD7D6ZEmCWQVMigSLJbhP5GA3W7CfG/6eXlatPQ2rVEB1kuIGu/5Ibx9PeHofTGF8TVbhx5yGjTA0vPvuu9GrVy9s2bIFSUlJtu3FxcWYOHEi7rnnHnz55Zc+n9/n0HDmzJkoKCjA0qVLsXz5cgDA5MmTERcXhyeffBLTpk3zuSgioqau8shWLProD9hp0APQwKCquLW0Eje2n4AWk+4F0nrYfRrrA6DPpfMwZ7+H9758Di/qLTin0+LNOC2+3n0fnj46EZ2ufhpxei2u6ZOOxFgtmiVwBWUiIk9VqPafQmviPsdhybVcBYl1j3f2fcceic5r8jRMdBe4eRcmOu7tTZjX8LUkVFWHK2qdYZzBDgwb30fIhtUEWVX12joQIiBzdCvUoWhNkGVWa68djjYK+XD+EF6v5lKyap0O1ewiNAyEcNyvUPD2foVoJnenhPD9Dwuh/oNEKBw6dAgbN260CwwBIDk5GQ8//DBuvPFGv87vc2gIAPPnz8fvf/977N27FxcvXkRqaiqGDBmC5ORkv4oiIooW358twu4jeUhLjMH0zIzAnPSbf0P/v/ugb5YMQI8rKyqxpNlgtJv2LBDfzPVxiS2hu2IOpgyYieu/fg0vfLECLyfG4qcYPVaf+h+ef+MspGmvYVhX13MdEhGRcyUWMyqV2jm75eokT64TOdWNXuQ6SZ99kOh8e/1j6p/P+n3U+37DIZ63Q51d91R0Hyw1FOx5MteiLIB4BSizAKqHS3P6EyiGIiyM1B6SsgTEq0CFAqhRPBQ8mAIVDsmSNcSqDEFbR2oeEqqgTVatKye7Cw3DHRqFM2yrEYjHwxyhr21NUZcuXVBUVOT0e8XFxejUqZNf5/cqNHzttdfcfv/ChQv473//a/v6tttu860qIqIokV9WhdziSqiB+g3k478AHy2DDOCJvHwMM8uYOP5ZaC+71vNzaHTQXfE7/KHrOGRuuhVvVp7Firx84MIO4PWpwPQ3gdikhs9DREQ2paiEDhrb15JwDA3t/i1qYzLJxT7Wr+F0P8AxRHQVUDrbt/65bcd5uJ/j+Wrf59x9VnTfq9H9p0ytLFCpAGWKgGpx/b7qzWIvvq73Faiwr6H7HAweDTUPYZDV1NX0fnM1ZNYfkTCUPBiEj/GnrAprD1pVQA1R40TDYxCMoFSRw3fHBSSfhxk3xjkNn376adx9991o164dRo4cadu+e/duLF26FGvWrPHr/F6FhjNnzrT7uuaXDlHnWVj3FxGGhkTU2HVqHo+xPVsgVqdpeOcG5Hy8HKWfrUL36q91qZ0weMI6SF0G+XbClAwMvT0LQ7cuAC68Yt126jNYXrse2tv/B8Qk+l0zEVFTYZIrUSVqw0AZdUPB2n/X3S4Lyel29yGi8+Cx/nEOxwonw5qd9kR0Fho6bnM9Z6Lz77hf/bnmGMcPmXWPUxSgSlVhUlQoiur2ep7U6oy3YaC/oZ+ni9N4dc5AnEOuE64ovtfoayjblMhCVK/oG7ogyx/h7onnj5oVkxXhfUAbCT0AAyFUTzE3f9cJOuHhokKujm1sFixYgOLiYowePRrJyclIS0tDXl4eiouLYTQa8dBDD+Ghhx4CYH0//u6777w6v1ehYWFhoe3fx44dw29+8xvceuutmDp1Klq2bInz589j48aN+Pe//423337bq0KIiKJR+2bxaN8s3u/zXNz/d/z+6GsobNUSa87nYUDzPlBv3ACl3M93ZI0WuGYVEJMEfPYsTmq1mCf9gpkvXYfy/i/hll919bt2IqKmoFQqAaQKuxWU7YPA2j8e2cI+qV6I6CJorP89u3M4+V7Dx9YPF+t8X9Scw00A6W67cLyes/N5dm57GllGhargkmJuMMjyJEx0dd36PP0I6ck1HWvwnbNeob5ybGvApKqoqBPQBuQ6UZ4iBqN6jSxQpQqYFAHFj4C2qfOk5TSqgFkImFQBJQoC2nAI1OgoSxD+IOIpVfixEEojDA0HDhwY0PeL+rwKDevOVfjwww/j97//PR5++GHbthYtWqBPnz4wGAx46KGHkJWVFbhKiYgaqbLD/8Vd367C6Rg9tEKgPLUjcOsmQJcAlOf5fwFJAsY9BqGLx5+O/AMn9Do8rc3Dn374IzD0LXYTICLygFlUAKJ2HKcM+x7mNUGeLGlsyYO7cE+qd7xDSGi3MIqXoWEDX3tyjtq6nPVM9Dw0dBfc1f+eBjLMUGCCxW1AIEFymSB4EhR6GuQ53Cc3RfkWKDZwjJsP9/6+c2tq5n4TAkogu5bVOVcgekQGUjA/VLujVrdxwNuaHIjqNrawre2IILRFONtXwPf5Oxvjs+LVV18N6vl9Xghl7969WLhwodPvDRw4EE8++aTPRRERNRXi4jE8+vFCHDboIQmB5RUaDLv1f0BssnWcVgBJIxdgeckJ3HLxYxRqNFit+wGZHz+FtKsWB/Q6RESNUZVaDlWtdAzbJGv4Z9te05PPrkei84Cxoe/VPb/L7zsEihqHRKn+MGdnoZ/LYNJhYRUnxwoXgaOL2Kj+faihl7SokiyolKpgkex7vzkLLxu6Tu31AtMr0e0+9T6JNlRTXb4Mgfa0F6XzYwGNEKgSCipVCxQ/JtoL5pyNAe+16GVa4E8b16VRAYsQqFJVv9o61KLxT8pqdVubo6ytfRHu8MvCULbJ8Dk0bNGiBd566y2MGzfO4Xtvvvkm0tLS/CqMiCjSCSGwdvdxxOs1GHtZS7Q1xnl3gqoyvLbpRmw36AEA95WaMfHm94GEFkGoFoAkIeOa5/HcGzdgtvk4zmu1WHjkVbzUfhi0HUcE55pERI2ERa2AokqOPQSlur0H6wVvbgK/hsJAW+hY53NZgwEjHOfXbSiEdLaP9VzOehM6n7/XkxDSk+8pkhZVMKFCKrcLDev3vHQ4n4vQsqE6ANcBpjfnqK3Ds5glEgJFDWRUwYIKmKGgblv7HxV5c//cqvPcD+WCMoEKC2tohIBZqDAJBYrwPciKtJ6bkUgjBCxCRZWfbe1MOBY18pevC8p4wizCt4IShyeHls+h4eLFi3HHHXfg+PHjmDx5Mlq0aIELFy5g8+bN+OSTT/D3v/89kHUSEUWc8ioFZwsrAACjengZ9AmBLzf/Fqv1JgASxpZVYNakVwBjh4DXaUejRb9pb2DJq6OwOKYCX8XGYN22ubjn1o+BBP6xh4jIFVUo1RPMWwDUhk2qk56F1u9rAGGxfS3X+75af5GT+iGikyCsoaDRWR0OQaJwFRJ6FiY6qwOSm31d9jZ0vJ4qKbDAAjPMsMDxA6nLMEryLxz0JORyF0za9pG8CQM9DCJ9iIo8CS9VyFCgVre0aruWPzFAbajiX1gT6NDO2/MGKgqp+9ipUKFU33wVjIgmGoMwdwQEFAhYqv8f6LOHUrB+DgIlnP04VT+u37j7nwaHz6HhnDlzkJ6ejmXLlmHBggWwWCzQarUYMGAA/vvf/+K6664LZJ1ERBFHliSM7dkCJZVmGOP1Xh1bdOBlPFT6AxStFh2qzHiiz1xInULU208fj+umvIGv3roam+Jj8aJBxsBNt2DILVsBmX/HJiJyRlErYalexKB+MAc4hmBO93F6nIsehm7ODTgGVK5CqPphpKt9nfVAdLWv64DQ83M4218RGlShHBUocfuB31Wt7q5Ve82GwkUX5647x6QnAWIAezBaL+/F+7MHIapWlmGSTKiUK2CRq0NDD+6XM/72LPTqvjUgYL0c65/Xj95Jtb06TR6FhsG6D76KpmBRAxkWKDDV60HrTqSHc5HKAkvDOwWL8GMVZI6q9prPoSEAXHvttbj22muhqiry8vKQlpYGmR84iaiJMOg1GNOzpfcHFp1GZdZjaJsSi2JZg9UJvZEw7IHAF+jGK4dlXJ58F74vX4djej3+YjqJd/f9DfLQu0NaBxFRtBDCgprkSNgNe7P+7ivqfECVJBmi3tAtCZp6x1XvV++DrfOQzvHDr/C0B5+wOO0BV/86qjBX1+RB8Ff9oat+eKfW+RDpOsSs3a7AXO8aeqiwQHHS07Du+RRhf5yrsNJZHfV7azkGkPYfhJ3dD8WDeR6d9QpzGUjWr8mL8M7lUO8G9peggQrF9h/geL9q+BPq+RuAeRtkuuuN508trtoG8KB9JAFFUqBIisNcnS6u5nRrpISJ/gSowSeqe3UqDYaGNe0Z+B6JTYM/vWYpuvgVGtaQZRktW/rwwZmIqKlRVeA/d6FVRQnWV5Qg29gaXW58MeQrGF8sNeGoYSweVr/GppLPsCC/EPL5J4DuVwPNOoe0FiKiaCCEAlVVARdDUOsGB3Xnh68JyYRdGOU4X6FtXyefX12FTZ72ZlRcDEl2un/NcGs3AVdNCKnUr9+T3o5ujpFUBRZhglmtgFm1uO1R6O561ms21ONQ47QeT87tcI4GeDwUueb+NvArgTchnuv5IzUwS1UwSRWwSI4Bty+C0lPRw1+PAhmoBbLnIwAokmwddu9kgZ9A8/Ux8IqLxyQSQk0hybBIFlgks8u2rn18wzcnXyTx9XFTJc5p2FQEJDQkIiIPfbEOOPkpAEADoNc1zwNxqSEv41ddmkMVAhkpq/HnDWMANR9QK4D/3g3M3MJhykRE9QioEFAAJz0Ia77vQJIdehdaj3H+GiuE87DLGjg6OcbZ/naLR3gQNjoLLgHU73FnPZ/9PI4uz1n/e6LhABIAZKFAFRYowgRFWNyGndZrugm3GjjWeu2GwzFPAqSGAkrb9RoK42yBrTehoHcBX825hdBAEWaYhQkWNwsaeNJGdU5udw1f+T/c2bfQ06GOAAVwAhqYq/9zNldnoMiQ3faIDIZAB6z+sC6YJEOBUh0cRldPuJAEvk74+oxU6/UUDyUB30cZs1+p9xgaEhH56KPsCziVX4ZurRIxtHPzhg8oOo21Xz2DcToduprNwKDfAV3GBr9QJ37VpU69//cC8Oo1AIDyM/ugfP4cEn/1h7DURUQUuZxPve72A4hQnAYYtoDRWUBYHTI6fhi3H/5cf/9adb5Xf+hzTa9HJyGRLfx0FnLaeku66LnjIhy1ntdxCHbd45Q6tchCVIeGZijCUl2T6w/+sgfD49yFGqowuw8ePTgHAJfDtR2uB4vHIYunQaQCs0/BoWQbxGm2DU92ev7qoeDeXqPmOr5Q4GVY6cDzdnZbhwdzQ3pCklSokgVmyRS0UE8WMtQQDRe1b5PQB3Ouh+SrTofdh4u3z0E1ykJOIYVvTkP2NAytiAkNs7Ozce+992Lv3r1ITEzEbbfdhieffBJ6vevFBXbv3o1Ro0Y5/V737t2RnZ3tdr8bb7wRb775ZmDuABE1Oafyy3DkfCmS43QN7ywEPn7/TvwtKQ4vJRrwz0sS+o5/IvhFeqLDMCDz9/ji+39iSfNmyPzuBTzeeyqQ3DbclRERRQ6hWm8O6m2rF/Y4D8xqhie7+1DrOjSxDX9uIFiq/6FVuOxVWH/4dA3nw6gdjneTnDbU66tuDbKqWnsYqlVQVIvD9+tTvOiZ5/I8HvTMrM/VKsmeDteuz2lw6cew6bpchW9CaGBBFcyiwq6noS9hm6cBp0Nt7tq7ge5AgQgFfQlCnWmoFk97ddrq8iUw9TAHCWXPwHAMV64Zdl8lVTkMu48E4epNGAzO5tqlxikiQsPCwkKMHj0aXbt2xaZNm5CTk4P58+ejvLwca9ascXncgAED8Pnnn9ttKykpwcSJEzFx4kSH/devX48ePXrYvm7e3IOeQURELlzWOhnJcTp0ap7Q4L7lhzZhmelnQKvFZaYq9J6wBtDHh6BKD41Zgh9ObUOODtis0+KGLfPQb/qmcFdFRBQxRPV/9TmsLOqix51155oPjA192JKtQ6HdkKBxfy0ADXWoEEJtIESo7vXoIhSq7V3o+hyiwXModf4tA0KFqL7ZXwMuz+MsmK2/nyfDxN31iKxLcRH8OIaObnpJuu0t6q7GhoOQuiGk4uLcNb06rbe6+3gWtNQNttzV71Bb3QVtvAgdHB937wMhh9W6fQg9nP+8NPSz6rpXp7Pg0tVj5in3P9OBCdI8CTYDuVCGp2GnCgkCosEetL7yNwhVQhRkBmqIvvuLhLGnIXzv48qo03sRERquW7cOJSUl2Lx5M1JTrXN7WSwW3HXXXVi8eDFat27t9LikpCQMHjzYbturr74KVVUxY8YMh/179+6NQYMGBf4OEFGTlNkxFYAH8xGaLmHdp48iN04LjRB4NKUf5G7jg16fO2cKyrHt4C+4ZLLg/rFdIcUk4ParnsJ7ex7ECb0Oyy4dwptHt0PTNbx1EhFFDoHajxt1e+h5PkOS5HEY4Hr4cu11XQ9Lrt3J9TBk1+ep2dGbUMuT+9Xwh21VyFChQBVmqMLFB1IX8z46289an4eLlbg7p5OFbZxreOXlGt7OC+mwr9tees7brm5QqQphXdyneii46+s4r0kVrucz82TIt7fX8/THzF2YpTrtTetFDV6qeTytoaHFaZBVfwVxdwLVM9IZb+9z/RXMPRHM+m2qe3Vaqnt1BnxRGx+P82+4vS98C/S8a6/whYZCSBA+DjP29bimLCJCw61bt2Ls2LG2wBAApk2bhrlz52L79u2YOXOmx+fasGEDunbtiiuuuCIIlRIRee/nrCX4l8H6BnVrmQndpzwX5oqsfr5YBgAoNVmQGKuDrue1WHxgHeYop5Ado8fbWQswveNIQBsT5kqJiCKNbyGZJwGjXc9Fb3ocefg5yBoSehK61R2y6maodAPDs237edLTT1gAoUAIi/Xfdff1MMS0cj2vo0MNbuZ5dKxX412vOi+H7Xr7gd3rOdPqBK71549suDYvQo8653M1lNtT3t9H+zDLnwDT1xpsaoJrVWttZ7UKav05ArzgKvQM5pBjX4eeO+MqIA1kmOguoLXfL7TDhF2FrCEJUv3gtp18CI4Dpe6f8Hw51ltNfSq9iAgNs7OzMWvWLLttKSkpSE9PtzWmJ86fP49du3bhT3/6k9PvT5o0Cfn5+UhPT8f06dPx+OOPw2Aw+FU7EZFbBSfwzOn/wWKIRQuLBXcOmAcktgp3VUiN1+NXXZoh2aCDts5KyYOvWYOr3xyHbXGxeF5vwYQ9K5F61R/DWCkRUbRy95HGXQ9CL4NF24ENfISy+/Dv6cetmgVQPOtf48mQ6brqd/gQdv/Zn6fhodR1qR6HHZ4Msa6tz/liNK7P7Vnw6liLZ9fwdDi1s2uoAtW9Oq1DlBucl8+HawGuh3Lbjm+wXdw/nxoKJRsKeT15Tnn8/Hc1fyRU23Pak4DWm9qsPO//5m2PN29CcsC3MM6nYeIuHncV1vZWoUB12y6+DxMOZNDn7xDu4Ief7oLX8PU0DCVOpRchoWFhYSFSUlIcthuNRhQUFHh8nrfeeguKojgMTU5OTsbChQsxYsQIGAwG7Nq1CytXrsThw4fx/vvvuz1nSUkJSkpKbF/n5uYCABRFgaIEZ04CRVGgqmrQzt+UsW2Doym269nCcuzKzkOyQYfr+qZDlp138fh82334xBALALjPbEDMoN973E7BbNdYrYSJvVraXQsAkNQO87vOwMdn3sEljYy/HXoVD/efBSS0CHgN4dIUn6+hwHYNnlC1LR+7hgg03EfB02FP3n5QrD+vnQ99JYTiPGx0q06dnoRk7hZ9cVGT3ZcC1b0MzU7Dx4Z6DXo6pNrhMI+HWNfl3Yf12oVmvDjO42HRbo5zEXCoKiBUBapqgao6fvj3+HoNLZLTIP96zzkb5u19De553MvSRSAoqQoU1QyLaqo3f2TgeN5e3vUOC0RPzQav4Uvw5ep5V6dXp8XJ8xrwf6iwp8PcnQl1D0dP+PpzEs7QUMCP4clevg9yKr0ICQ0D5fXXX8fAgQPRrVs3u+39+/dH//79bV+PHj0a6enpuOeee7B//35kZma6POeqVavw2GOPOWzPz89HTExwhuypqori4mIAgCxH3gtLNGPbBkdTbNejuaX47mQ+9FoZQ9s4Xz1Zn/MFdub/ACQloJfJhKEDHkVefqHH1whXu0o9ZmHmTxvxt3hgY3wMfr11IVKvejpk1w+2pvh8DQW2a/CEqm3z8/ODdu6mw9kn2UDMn+Rbr8X63IWNDQaKXvVkrMvXodxe9G60HeTNcG7PhzA7XlP2ugcWUPPh3LfQyOdRrS4eVgGpugec4rSta3pJ+rqgQk37+BpIeNur010NgH9hTf3nh7f1WEMKa1s762kYmEUrHJ9X/g4NB1yH74EMv9z9rHsbWtbt1enq59rdQjPh7LkHhGPuQ8/+wOK0XYIUgHtCFe7/YNDQsd7gVHoREhoajUbbL8N1FRYW2j047hw/fhz79+/HqlWrPNp/2rRpuOeee3DgwAG3oeH8+fMxe/Zs29e5ubnIzMxEs2bNkJaW5tG1vFXzl/7mzZtDo4nseQ6iDds2OJpiu3aU4zBcjYEEOH8tECrkzU9jSX4BhlVUIK31IBgH3uDVNcLZrrdduQj/+XY5hpVXoMWZLTCOfAho0TOkNQRLU3y+hgLbNXhC1bYmkylo527aPP2E4mu46M0HN/+GRdfn8/yLjieqZh1c6M3amB7P0ehwoHdDhx2vWYfXQ6HrHe5R/W6CDg+GIzturw5YhMVtaOBpoOrJ6tgNnsPF4+B7QFvnHH4MA/VkJW536g8FB+wfc39qq8vTVb59Pr/d4xOcwKh+0Ol9W9cu8ONyMaU6fFmdPFCcBaL+rpztD29X3ZbDWKsn/f7dHesNTqUXIaFhjx49HBq8uLgYubm5duO63dmwYQNkWcZNN90U0NqSkpKQlJTksF2j0QT1F3dZloN+jaaKbRscTa1dO7dIQucWjq8NNt+/C5z/AQAwttIMXL0a8KFtgtmue49fxKGcErQ1GjCxT7rd9xL634z/HngZhvxvrBuylgK3vBPwGsKlqT1fQ4XtGjyhaFs+buEWqKHP7gQmYKzhbdDosjdjzYdPUR0WCtWzENIWMPj34dX3pSlqTqD41VvMFhoFoEcd4OE8fdVtLITqsOiM7Txe1OM+3PEwVPXgcfR8rkofeqq6PJd/i99Y21hU/996Lq97t3o0h6ZvPwee9q4LZPDqir9BZ80CP6pQPRwKHtjgy5venb4+Xg3xtbek14FpWHsaSlB9HJ5cc1zNtHM1XOU+kTyVXqhERGg4ceJELF++HEVFRbYHZOPGjZBlGePHj/foHG+88QauuuoqpKenN7wzYFuJJtq6hhJRFLBUoXTXE0io+Xrgb4HmXcNZkVOFZWbbCsoOZBmGCU8B66+2fn1sB3DiU6Dj8NAVSEREdbiLtgIRKNbn+QrFnmooZPS6t6OnH1ob/CDvf5jqSw8lh8DK1w/hPvSqc7XojF0POD9DASlAoW4t34aFuyJJcuB7ljl5CtsHtL4OT/d8cR+vz+3FwkE+XyNAQ8U9uY6AsPU0DPb9qk/xc1h/YNS2dSCGqLvm959bwqr+aNMlS5Zg6dKlQbteMKbSC5WICA3nzp2L559/HpMnT8bixYuRk5ODBQsWYO7cuXYTS44ZMwanTp3CsWPH7I7/5ptvcPjwYTzwwANOz3/LLbegS5cuGDBgAGJjY7Fr1y6sXr0akydPjtjJJokoehV8sRbXJSkYp03FvZeq0GzkwnCX5FSntHgICLRKinW+Q/shQI9rIbLfx644AxI/ehSZHXYBUjA+nBIRke+8/fAW6l6L9TW0Uq/wbbGXOgI2dNrxxAFjH+758eHeRe8st8FFTW/Oer06vVlspsGyPGx3b1bF9kaDq0/79LzwfpVpVYjq4ckND5l1P9Q8MAGns+dFMHq9uRyyHqShzdYQWLW/hag3nOMw59D3wnPW3oEeom7H54lWA3Bp+P4OVFP1/v377TqcOetlCET2VHqhEhGhodFoRFZWFu69915MnjwZiYmJmD17NpYtW2a3n6IosFgcX2g3bNiAmJgYTJkyxen5e/Xqhddffx3PPPMMTCYTOnbsiMWLF2PRokVBuT9E1Pi9uf80YnQyruzYDK1T6sw3YbqEl75bh5J4HbbEx+Ge7rdE7MrDPdOT0DPdzRBrABi1GE/m7cXbSQnoZjqHjcd2Qu46LjQFEhFRkIS612J9rj7uBe6Dtieho/erScPnxVYaFvjVm931ohOoCVjsF0JpsIdUgHpD2tfix7BXd/N0BqynZF2+nNPdXJ3+zeHnCcf5HYMXJNV9/oQisKt734StN6fwq1enT9cOQ0hoq6P6ORSqgLSGCGdoKPxYPbn6uPT0dLRt27bB/SN5Kr1QiYjQEAB69uyJnTt3ut1n9+7dTrc//fTTePpp1yt7Llq0iAEhEQWMWVHx3VnrX5x6tU62+17up0/jrTjrS+tt5RY0H74g5PUFVMtemNhiEN6uzMZPMXrs+HgJJnQZy96GRESNljcfBIM1LNrzhVBqBX64dEP8XnHa4wsFKryqf7xjf51gBUpSkPIFf+eDdHtuH+aKdHkel8OTHR/HQA+pDcR8kx5fq4HnZeDvm/3z1boQisWhV2cwhgt7G9IFc3i5twJRSzgHJ/vyDlH3WG9wKr0ICg2JiKKFRRHI7GhEcbkZqfH62m9UFOLFn96EOT4GKYqCmZffCcQ20JMvCgwasxyD35mEfYZYrBUFGHtkCzQ9rgl3WUREFHbBXhnaG4EfatoQf0JHr3o5BiJ8dBsSBLqHkpPFQIIQRtoFQcHuZVU99NUXruaPdHNACFnrCdXcf/ZBW3CCXgHHnobO2j3U8x26Gl4ejvkPGwo8PVt4J1DVRDZOpcfQkIjIawa9Br/u79id/eynf8Z/4qwh4m8rgYQr54a6NK8IIbDxwFkUl5sxumcLdE5LcL5j8664p/mV2Ff2HX7W67Dlk8dwXbeJgBzaX7aIiChahWJlaF94GgIFIdwI1MrTHl9QdfJ1AytV+xyq+BrgeXe9QASRHgc2/oSSTuaOdLt7gENcj1fTDrCGg6dgBL3Oe9A6E8rhvG7nqgzicHF33D33PWmbcGaGQvgeWnp7HKfSY2hIRBQYZfl48dgmWOJjkKoouGngvYDOxQIjEUKSJBy/UIqSSgv6XDK5Dg0BXD7mSQx/cxw+jYvFOrkEE3/cDG1v529+RERE3hFO/u/JJ7tQhY2BW/3XV/4OpfbtosHvvWcvlHOyVc8DF4LAxm7+SGEGENreZQ4hZFh6FdYrIUgrKNsPBXe/6IytlhC0h3cBZYgeHx9/3mraK7zDkyWoPr7++3JcU59Kj6EhEVEAnP5kOd6r7mU4yyQjbuCsMFfkmf4ZRlhU1fUKyjWMHXB3q+H4tORLnNbp8L89y/DryyYDcuiHVBAREVlFUrDoifD1bKyvJoT0dKVqv3s6Oi3Ch9AiYAFP8Fb/9oS/YaVfoWNAVxP3cZ7HMPSmdCWYPQ59CyRDFZ77MUcnAPi4EEkgqMJ68/VY8g5DQyIiL33xcz7OFVegQ7N49M8wAmUXcfHg22htjEeFJGPaoPmANibcZXrk6t6tPN631+gnMGbDVciKi8XftRW4/oeN0FwenauAERFRU+HtJ8RICBn9DQ3CP5zaHb8CyGAFPEFd6drd6snO+LcydqC5DShDvGKvHSerF3s9f2Qwyqrz+IV6RWNPWcNMf2uLhNdKCgVOSEVE5KWfzl/C/hOFOJ5XZt2w728YUFaC987m4uUyDQwDbg9vgcGS3AZ3tR2LMWXleO58HjQf/xlQPBv6QUQUajt27MCMGTPQuXNnSJKEe+65J9wlUVQQPtwijerHLfhEgP4LbFFq4G8+8+fxC/zjLKCE7OZdYUF4zALwuFqHokfGzWWNdVbz9ucWNqJ2XkNvbxH5kh3h2NOQiMhLbVPjoKgCbVIMQGUJsP8lANYX1E6/egDQ6MJbYBB1u2opnv3rZsBiBgp+Bn54G+g3I9xlERE52LZtG7777juMHDkSBQUF4S6HGrVoGybtjrdBQPj6oPgSHAZlmLUrtmGc1UGdt2FiUOfaC0TgE4werf71oLSbP7L6XAGfPzKYYVmAH/Ng9rYUYfzZD/Wchk0dQ0MiIi+N6t4C6G79d/HHKwDzJSQDQGI6cPn0cJbmtdziCnz600WUmiz47a86QJIaeCNNbAlkzgb2Pm/9+tNVQN8bObchEUWcp59+Gs888wwAYNeuXWGuhsjf7i2R+kE3GKFE8MKIUC0oE5BwMhw9uYI6TDtY3NccrtWJG+I0zIzQ4czOhfEPBiFcPZk4PJmIyHfmCrx86FWMa9caa1OSgaH3Rs1chjVMZhXfnCnC0QulqDB7+EvVkHsBTQy+jonBI1I+LD9uDm6RREQ+kGX+mkuNSTQOk/ZVZA2n9oWzodQhH3Lti7ANyfZH/eeEcLIt8p5LYR/e7fcdiNyfPwos9jQkIvJR8Vf/wNsGDSpkGVW6WCAK5zJslqBHr9ZJMMbpPV9NLLElTvSdgtuL9gAArtz7F1zbawrQUC9FIiIiCiJvQidR5/81/47G9/FABhfh/0NDMIPDkAzNDlWQFJSh2+EKwQJ3X0IZHIYz4vYn5mXU6T2GhkREXsgpqsD+E/kwxko48u3fURYnI0ZVcUuPGUBMQrjL81pirA63DG7v9XEdRy7C8DfG4NO4WPxDKsakn7ZB7j4xCBUSEYVWSUkJSkpKbF/n5uYCALRabcNTOJBfdDodNBoNdLrGOzdwpAhsW/PnwlFtENSYn9chnSPSAzqtBhqNBJ1WE5gAM6jzSoabf/dNo5FhNgeoFC+pAp53dnByLHmHoSERkRfOFVVg/4lCDCh5H/+OUQFo8OvyKjQfMi/cpYVWSgZ+n3YlPi37Dsf1eny0ZznGdLuavQ2JKGiKi4ttAZ47nTp1gl6v9/k6q1atwmOPPeawvWfPHtBq+atzMGk0GnTq1BEAoCiROQ9ZY8G2Dh2NRotOndoDEFAUi5s9G3NAFRpajRYdO7WHBAkWt20dDo3r8VUUC77++ouwXNufCRmYGXqPv/kQEXkhIUaL7i3iUHTuDRQlaqARAjM7XgfEpYa7tJDrd9USDHpnEr4yxOIl5TxGn/gEUqeR4S6LiBqpjRs3Ys6cOQ3ud/jwYfTo0cPn68yfPx+zZ8+2fZ2bm4vMzEwcPpzNcCXIanpiff/9DzCHqwtLE9E42jo6/lBpbWuB778/GAFt3biCq/p0Oh2Eh20dab0kQ87PXpQaTThXTgdU4dvjx9DQewwNiYi80DM9CV3yd2KiwQxAi2vKKtFm+MJwl+WXgznF+PFcCZIMWlzdO93zA5t3xZyUPvjKdBSHYmLw+adPYChDQyIKktmzZ9uFecGSlJSEpKQkh+0WiwUWS6T1XGl8FEWB2WyOgHCl8WtabR3egCj62zp6wsZQtXVTDx2F1snqz9QoRc9PPxFRJBAC7+/7C85rtZCEwO/ajAYSW4W7Kr+cL6nEN2eKcOSXUq+PHTJyKXqbTACAFytOAWe/CnR5RERERH7yZPXpprI6tS98WY048lYsDiRPVsMO1H9kTwj/buQd9jQkIvLGzx8BRaeRmpqC/pVV6HT9onBX5Le2xjj0bpOEFomxXh8rpffF7LjO+INyFgcMsfjx4ydw2c3/DUKVRETeOXXqFL788ksAQHl5OY4fP4533nkHADB16tRwlkZEUYmzqAVeoIPD6A8jnQllcBgNPSi5enJoMTQkIvKQRVFRsGU5fl1aholl5bjUazKQ2jHcZfmte6tEdG+V6PPxo0YsxZT/3oRJZWXoWXka+OUg0Kp3ACskIvLeRx99hN/+9re2r7dt24Zt27YBAAS7GhBRyPnSYzHyA5zI5G942HQHZHoaUIazB6Q/PQb59u+9pvvTQETkpdLje9Ei39prJVYIpI14KMwVRQY540osTeqNzEqT9VfbPavDXRIREWbOnAkhhNMbEVF0CMSwag619l6whmM3zqHa1LgxNCQi8lDh5ytRIVn/4qt0mwS06BnmiiLI8Adq/31oE1Dwc/hqISIiIiI3GDJGHoaOnmJLhRZDQyIiT/xyEEsrD+Hqdq3xv/g4aEY80PAxUeSzYxfx9pdn8P3ZIt9O0HEk0HoAjup0WNzMiFOf/jmg9RERERFRuLCnY+RrOj0ihQBUH28cbOA9hoZERB74+uPH8XVsLAo0GiS0uAxoOyjcJQXU4dwSfHOmCKfyy307gSTBMuw+3NEqDf9LjMf6szuBS+cDWyQRERERNQIMIKNXTXgYxjkN/byRdxgaEhE1pOBn/KPgawBAl6oqjBz2xzAXFHid0uLRu00SWqd4v4JyDW2P63GLYj3+vXgDLny2MlDlERERERE54SwSYnREFCgMDYmIGpD98ZP4NM4AAJhhScE545VhrijwRvdoiZuvbI+B7VN9P4ksY9qAe5GoqDBLEv517D9ARVGgSiQiIiIiCpBgLTLDcDLYfB2aXHMj7zA0JCJypyQXL+d+AgBoY7agLPZWnC6sCHNRkSuh3y24yWRdLObteD2K970Q5oqIiIiIiMKFQWOgCeHfjbzD0JCIyI1Tn67A9jjrkNubKvQobjsOzRNiwlxVBNPqcXOf3yJGVVEuy3jjx9eAKh/nSSQiIiIianLY89Gd6F/KJbpETGiYnZ2NcePGIT4+Hq1atcLChQtRVVXV4HEdOnSAJEkOt8rKSrv9zp07hylTpiAxMRGpqamYPXs2SkpKgnV3iKgxKC/A+pNboEoSmlsUTB+2EPeN645uLRPDXVnAVVlUfHjoF7y5/zTyLpn8OlezzLn4dYUFAPC6QYPyr18NQIVEREREROSf6A8gOTw5tLThLgAACgsLMXr0aHTt2hWbNm1CTk4O5s+fj/LycqxZs6bB46dOnYoHHnjAbltMTG1PILPZjAkTJgAANmzYgPLycjz44IOYMWMG3n///cDeGSJqPL74O5qZTYhT9bi1SoOYvjeGu6Kg0coSPvkpD6oAerdJRlqiH70p9fGY2e1GbDy7CUUaDbZ+/TdMuWIOoNEFrmAiIiIiIiIKqogIDdetW4eSkhJs3rwZqanWSfgtFgvuuusuLF68GK1bt3Z7fMuWLTF48GCX33/nnXdw6NAhHD58GN27dwcAGI1GTJgwAfv370dmZmbg7gwRNQ6mS8AX63BvZTFuKymBbsIKQBMRL5lBIcsSerRKhEaWER/j//1sM/QPmPvy6+hUUYYx5RXAwXeBy28KQKVERERERNSUscNg6ETE8OStW7di7NixtsAQAKZNmwZVVbF9+/aAnL9v3762wBAAxo0bh9TUVGzZssXv8xNRI3TgVaCyCACQHNcCJ9N/jazD55H9S+Od1uDWIR0w48oMdGwe7//J4lIxt9tNGF9eAQ0A7HkWUDmLCBERERER+Y7Dk0MrIkLD7Oxs9OjRw25bSkoK0tPTkZ2d3eDxr7/+OmJiYpCQkIBJkybhhx9+aPD8kiShR48eHp2fiJoYcyV++uIFWGq+HnI3vv/FhJ2HL+DAqcJwVhZdhtwDaPTWf+cdBn7aFt56iIiIiIgoqnH15NCKiLF2hYWFSElJcdhuNBpRUFDg9tjrr78eV155JTIyMvDzzz9j2bJlGDZsGL755ht06tTJ7/OXlJTYLZiSm5sLAFAUBYqiNHDPfKMoClRVDdr5mzK2bXA0tnYt/2o9ZiZrkJyYjmXFJlze/3YkHStDy0Q9WiToQ3Y/o75d41tA6nsjzn+/Aa8lJ+LKPcsxvMt4QJLCWlbUt2uEYrsGT6jalo8dEREREdUVEaGhP5577jnbv4cPH47x48ejR48eWLlyJdauXev3+VetWoXHHnvMYXt+fr7dYiuBpKoqiouLAQCyHBGdQRsNtm1wNKp2VS3Y8s0LuBQvo0KWkNLlauSVVGJACw0GtEgGAOTl5YWmlBC3a3GFBd/mlKKwwozrezeHHIBwT9P9FjyS+yG+MMTiu8oL6P3dB7C0uTIA1fquUT1fIwjbNXhC1bb5+flBOzcRERFRIKjVN1+PJe9ERGhoNBptvwzXVVhYaDfPoSfS09MxbNgwHDhwwKPzt2vXzu355s+fj9mzZ9u+zs3NRWZmJpo1a4a0tDSvavNUzV/6mzdvDo1GE5RrNFVs2+BoTO1a9d2b+FeMCkCD68pNaD9lMRDXLCy1hLpdLcWV+OZra2igiUtG84QA/GEkLQ23f9MLX1Qdxw+xMTh2aC2u6Het/+f1Q2N6vkYStmvwhKptTSZT0M5NREREFAgqfJ+b0JfQMDs7G/feey/27t2LxMRE3HbbbXjyySeh1+vdHtehQwecOnXKYXtFRQViY2NtX587dw733nsvtm/fDp1OhxtuuAGrVq1CUlKSD9UGXkSEhs7mFiwuLkZubq7DXIS+nr/+PIdCCBw5cgTjxo1ze2xSUpLTB0uj0QT1F3dZloN+jaaKbRscjaJdVRX/+2o1LsZoIAuB32VMhCaxRVhLCmW7tkgyoF1qPJrF6wN6zWEjl6Ln+zficIweL5cfx+DzPwCt+wXk3L5qFM/XCMR2DZ5QtC0fNyIiIop0Ar6vnuztcYWFhRg9ejS6du2KTZs2IScnB/Pnz0d5eTnWrFnT4PFTp07FAw88YLet7ohVs9mMCRMmAAA2bNiA8vJyPPjgg5gxYwbef/99L6sNjogIDSdOnIjly5ejqKjINvfgxo0bIcsyxo8f79W5zp07hz179uDWW2+1O/+///1vHD16FF27dgUAZGVlIT8/H5MmTQrY/SCi6GY58gFekcsAaDGuvBLtRzwMAPg5rxQ/55WhVXIserdJDm+RQaTXyrh7VJeAn1dq3Q+zYjOwQPyCfQYDDn2yDL1u2hjw6xAREREREQXKunXrUFJSgs2bN9tGwVosFtx1111YvHgxWrdu7fb4li1bYvDgwS6//8477+DQoUM4fPgwunfvDsA6UnbChAnYv38/MjMzA3dnfBQRkw7NnTsXiYmJmDx5MrZv347169djwYIFmDt3rt2DMGbMGHTpUvuB9o033sDNN9+M119/HR999BFefvlljBgxAhqNxi7NnTp1Knr16oUpU6bg/fffx9tvv41Zs2bhmmuuiYgHgYgigBD4cO8K5Oisf0uZ3WoYkGR9/Tl6oRRZ2Rew+8iFcFYY1cYNfwQZZjMA4OWCr4H842GuiIiIiIiIoo0Q1uHJvty8XT1569atGDt2rN20edOmTYOqqti+fbvf92Xr1q3o27evLTAEgHHjxiE1NRVbtmzx+/yBEBGhodFoRFZWFrRaLSZPnoyHH34Ys2fPxqpVq+z2UxQFFovF9nXHjh1x7tw5/OEPf8D48ePx8MMPY+DAgfj888/RsWNH2346nQ7btm1D165dMX36dNxxxx0YN24cNmzYELL7SESRTT3xMf6hXgQADCuvQI+Rj9i+F6/XIj05FunJhnCVF/U0HYbjt5J1bsidcQac+GR5mCsiIiIiIqJoI4R/N29kZ2c7TJmXkpKC9PR0hyn2nHn99dcRExODhIQETJo0yWHaPGfnlyTJ6RR+4RIRw5MBoGfPnti5c6fbfXbv3m339eDBg/HRRx95dP42bdrg3Xff9bU8ImrkKj9dib6mKpzU6TAntT/QrLPte8O6Nsewrs3DWF3o/FJciW/PFKLSrGJy/zaBO7Ek4fohD2Ht5w8hT6vFW2c/wsMl52y9OYmIiIiIiBoSiNWTc3Nz7ba7WsuisLDQNoVeXUajEQUFBW6vdf311+PKK69ERkYGfv75ZyxbtgzDhg3DN998g06dOvl9/lCJiJ6GRERhdXof4k58iscuFmDH6RwMGPlouCsKm4KyKnz800XsP1kAi+Lr27Fz+h7X4j5LHJZczMf8/Hzg8xcCen4iIiIiIqKGZGZmol27drZb/VGugfDcc8/h5ptvxvDhw3H77bfj448/BgCsXLky4NcKpojpaUhEFDYf/8X2z+bdJgGt+oSxmPBKS4xBW6MBzRP0qFJUaDUB/NuSLOP/Bi8ENv/e+vVXrwDD7gfim0YvTiIiIiIi8o91fkLf1k9Wqw/bv38/0tPTbdud9TIErD3+iouLHbYXFhbazXPoifT0dAwbNgwHDhzw6Pzt2rXz6vzBwp6GRNSkiTNf4sucPbC97YxYYPf98yWV2H7oF3x9uhDCxzenaJKWGIO7R3XBjVdkIE4fhL8r9b4BMHaw/ttcDux9PvDXICIiIiKiRkn4eQOsAV7btm1tN1ehobO5BYuLi5Gbm+swF6EvnJ1fCIEjR44E5PyBwNCQiJq0z3cvwaz0lrixdSsUdB0LtO5n9/1T+eX46EgePvg+F5IkhafIxkSjA4Y/gBJZwtqUZLyQ/W+gLD/cVRERERERURTwdeXkmps3Jk6ciJ07d6KoqMi2bePGjZBlGePHj/fqXOfOncOePXtwxRVX2J3/u+++w9GjR23bsrKykJ+fj0mTJnlXbJAwNCSiJkucPYB15dYXaBkCxhGLHPbRaSS0To5F6xSunBwwl0/H6y3a4W/GZKxPiMXFPdE1rwcREREREYWL8Pm/2r6Gnpk7dy4SExMxefJkbN++HevXr8eCBQswd+5ctG5du6DjmDFj0KVLF9vXb7zxBm6++Wa8/vrr+Oijj/Dyyy9jxIgR0Gg0eOCBB2z7TZ06Fb169cKUKVPw/vvv4+2338asWbNwzTXXIDMz0++WCgTOaUhETdaXHy/FN7GxAIC5ho6Q2g1y2Kd/hhH9M4yhLi2sTuWX4cdzJdBpZIy9rGXgL6DRYUb/u/DPH9egTJax/uhGLBi+AIjzbl4QIiIiIiKiYDEajcjKysK9996LyZMnIzExEbNnz8ayZcvs9lMUBRaLxfZ1x44dce7cOfzhD39AUVERUlJSMHr0aDz++OPo2LGjbT+dTodt27Zh3rx5mD59OrRaLW644QasXr06ZPexIQwNiahpyv0O6y5lA4ZY9DBVYeTVj4e7oohxtrACnxy9iGSDLjihIYDkgb/DjG9ewEsG4O34GPx2zzNoPn5ZwwcSEREREVGT5csw47rHeqtnz57YuXOn2312795t9/XgwYPx0UcfeXT+Nm3a4N133/W+sBDh8GQiapIO7F6CLw3VvQxj2kHKuDLMFUWOlkmxyEiNQ+e0+OAt/qLV47Z+dyJOVVEpy/jnT28D5QXBuRYRERERETUKqp838g5DQyJqes4fwt+LDwIAulRVYdTIpU53u1RpxoeHfsGBUwUwWZQQFhheXVok4M6rOuM3g9oFdfGXlEFzMKPSev634vXI/yxyuuETEREREVHkEUL4dSPvMDQkoibn212P4nODdWGTO3StIXcY5nS/nKIK7D6Sh3e/zglleU2HVo/b+t0Bg6qiQpbxz5/eBCoKw10VERERERERgaEhETU1ud/BeHw3xpSVo1OVGeOGP+pyVwkS2hoNaJUUixitJoRFNh3GK36P6Sbrv7fGamH+fG14CyIiIiIioojF4cmhxYVQiKhpyXoC7S0WPHvhIso6/AqaTle53LV7q0R0b5XYJLuxn7xYhh9zS6AP1grKNbQxuL3v75HwxUpML7kE3YV1wOA7uZIyERERERE58GeYcVP8XOcv9jQkoqbj5GfAsR22L+PHPAZ4MGdfMOf1i1SnC8rx6dGL+Pp08IcLp15xB+aoCUgQAjCVAHtWBf2aREREREQUfQR872XIyNB7DA2JqGkQAl9mLcbXMTHWr7tPAtpdEd6aIljrFAPapRrQpUVC8P8ip4sFrnrY9qXlixeBYs4jSUREREREFE4MDYmoSVCObMWT6nnc3rolnk9JBkY/4nb/grIqbPkhFwdOFcCiNL3ZL7q0SMBdV3XBDQPahqanZb+bYW7WBW8lJuDq1s1wIsv940NERERERE2PKoRfN/IOQ0MiavxUFf/7ZAl+1usAAMPb/ApoeZnbQ85UD8/9zzfnIDfB4ckhp9HCctXDeDElCee1Wjz/y8dA3pFwV0VERERERBFE+PkfeYehIRE1elXfv4W1mlIAwFXlleg3ZnmDx2hkCe1SDWhrNECWGRqGgqH3VMxFCgBgR3wcDu542P0BRERERETUpHD15NBiaEhEjZtixsbPn0KuVgtJCNzbehSQ2rHBw3q3ScZdV3XBHSM7h6DIyHQ6vxzvf38OW37IDc0FJQm/HrUcHarMAIBnSw5CnN4fmmsTERERERGRHYaGRNSolX/1D7wYYwEATCo3odvox8NcUfTILa7AZ8fyceBUYfAXQ6mm7TQK98a0AwB8YYjF51kPA5x7hIiIiIiIAKgQft3IOwwNiajxMpXiXweeQ4FGA60QuLvTZCCxVbirihqtUwxo3ywOvdskQVFD9wY7buzT6G0yAQCeNedAPbojZNcmIiIiIqLIJeD7Iiic09B7DA2JqNEq2bMSrxisL3NTyqvQbuRij447X1KJ978/h69OFkANYVgWadqlxmHuyM74df+20GpC93Yhte6HPyT3BQAcjtHjw91/AlTOQEJERERE1NRxIZTQYmhIRI1TcQ6SPl+HF87nIbOiEnf2ngMYjB4deiq/HJ8dy8eWH34BF04OjyvH/hlDKioRo6ooupQDfPdGuEsiIiIiIqIwsy5o4uvwZPIWQ0MiapyyHgMsFRhUacLLVQloNvQ+jw+N1clo3ywO7ZvFQWJqGB7NOuOPrcfhf2dzMf1SqfXxNF0Kd1VEFCUURcFf/vIXjBgxAs2bN0dqaipGjRqFTz/9NNylEREREUUNhoZE1PjkHAC+f6v263FPAFq9x4f3bZuCuSM74/ahHQJfW5Q5U1CO/313Dpu+Phvya7cf+yTSdYnWL0rPA5+uCnkNRBSdKioq8NRTT2HgwIH45z//iQ0bNsBoNGLUqFHYtWtXuMsjIiIiH3EhlNDShrsAIqKAUlVkbb0P77VojvkFRWjfdgjQ45pwVxW1iivM2Hs8H7IEXNM3HTFaTeguHpcKXLUI2PYQLAC+/PolDBlwG5DaMXQ1EFFUMhgM+Pnnn2E01k5LMW7cOPTu3RurV6/G6NGjw1gdERER+cqfuQk5p6H3IqanYXZ2NsaNG4f4+Hi0atUKCxcuRFVVldtjcnNzsXDhQvTr1w+JiYlo27YtZsyYgVOnTtntt3v3bkiS5HC76aabgnmXiCgMKr5ejz9L+dgVH4cnmqcCE5aDExP6rl1qHNoaDRjcqRksShjeZK/4Hc6mdcVv2rTC71sacXDb/NDXQERRR6PR2AWGNdv69u2Lc+fOhakqIiIi8pfwo5chQ0PvRURPw8LCQowePRpdu3bFpk2bkJOTg/nz56O8vBxr1qxxedyBAwewadMmzJo1C4MHD8bFixfxxBNPIDMzEwcPHkRaWprd/uvXr0ePHj1sXzdv3jxo94mIwqC8AC998RfkJuihEQIL00cD6X29OsXBnGIczytF57QE9G6THKRCo0eyQYe7R3UJXwEaHVqOexLmT/4AAHii9BA2HNkGTferw1cTEUUli8WCffv2Yfjw4eEuhYiIiCgqRERouG7dOpSUlGDz5s1ITU0FYP3F7q677sLixYvRunVrp8cNGzYM2dnZ0Gpr78bQoUORkZGB1157DQ888IDd/r1798agQYOCd0eIKKxO7VyMV+N1AIDp5RZ0u3GF1+fI/uUSDpwqRH5pFUPDCKHrdjUWf9UNd5hP4MeYGGzctQA3dRoJ6AzhLo2Ioshf/vIX5OTk4P7773e7X0lJCUpKSmxf5+bmAgC0Wi0XxwoynU4HjUYDnU4X7lIaPbZ16LCtQ4dtHToajQYWiyks11ahQpV8WwdZFVw/2VsRERpu3boVY8eOtQWGADBt2jTMnTsX27dvx8yZM50el5KS4rCtbdu2SEtL49AToiZGnD2Ap3KyYI6LRTOLgruueBAwGBs+sJ6WSTFo3ywOHdPig1Al+WropBcw/o0x2B4Xg+diVIzdvRzNxz0R7rKIKISKi4ttAZ47nTp1gl5vv/jVjh07sGTJEjz66KMYOHCg2+NXrVqFxx57zGF7z5497P5QTYGn0WjQqZN13lpFUcJcTePGtg4dtnXosK1Dx2Kx4JtvDoTl2v4saMKFULwXEb/5ZGdnY9asWXbbUlJSkJ6ejuzsbK/O9dNPP+HChQvo2bOnw/cmTZqE/Px8pKenY/r06Xj88cdhMLCnClHUU8zYuuVOfBYXCwB4AEYkDpzVwEHODe+ahuFd0xresQkpM1nw0ZELOF1Qjpsz2yM5Lgx/vU1ph4U9b8eeExtwSSPjmaNv4Kn+twHNu4a+FiIKi40bN2LOnDkN7nf48GG76Wi+/vprTJkyBTNmzMCjjz7a4PHz58/H7NmzbV/n5uYiMzMThw9n80NokNX0Dvr++x9gNpvDXE3jxrYOHbZ16LCtQ0ejCeHiiPXUzFDo67HknYgIDQsLC532GjQajSgoKPD4PEIIzJs3D61bt8b06dNt25OTk7Fw4UKMGDECBoMBu3btwsqVK3H48GG8//77bs/paoiKoihB+8VRURSoqspfTIOAbRsc4W7X4k+exp+1pQA0GFJRiYnX/RuKEECUP87hbtcaMgT2HrsIVQicvHgpbMO2mw+dj7uOvIOVsRa8H2/ANe/NwZDbdgCSd2t6RUq7NjZs1+AJVdtG+mM3e/ZsuzDPE8eOHcPEiRMxdOhQ/OMf//DomKSkJCQlJTlst1gssFgsXl2fvKcoCsxmMz/whwDbOnTY1qHDtg4NIdhjr6mIiNAwUJYuXYqsrCxs27YN8fG1Qwv79++P/v37274ePXo00tPTcc8992D//v3IzMx0eU5XQ1Ty8/MRExMT2DtQTVVVFBcXAwBkOWIWuG4U2LbBEc521RSfQuXnz6Nts0SUSxIeaDEBFzUtgby8kNYRDJH0fO2ULCNWJwOmUuTluV/ZPpiuvmIpPvhqIQ7H6PFXSy56f/RXVPa5xatzRFK7NiZs1+AJVdvm5+cH7dzhkJubi/HjxyMjIwPvvPMO57giIiJqBFT4PsyY/Qy9FxGhodFotP0yXFdhYaHdPIfuvPTSS3j88cfx8ssvY8yYMQ3uP23aNNxzzz04cOCA29DQ1RCVZs2aOazOHCg1f+lv3rx5WLv9NkZs2+AIW7sKFfLW30GqKsdrueXIbt4RXaav8HmBjA9+yIWiCvRtm4wOzcI/p2EkPV9/e1WEDNlOuxaPnX4fL+dk4eGCQiRfXI3Egb8Bktt6fIpIatfGhO0aPKFqW5MpPBOaB0NFRQUmTpyIixcv4q9//SsOHjxo+15MTIzdH5OJiIgoegjJ94VQhI/HNWURERr26NHDYe7Cmsmu685J48rmzZtx55134vHHH3eYG9FfroaoaDSaoP7iLsty0K/RVLFtgyMs7brvJeDUHgCABkCva54DYhN8OpUQAt+dLUF5lYKWyQZ0buH4cx8OfL466nn1M1i5dgig5ANKKTQf3A/c8i7gxaqmbNfgYLsGTyjatjE9bufPn8d3330HALj++uvtvte+fXucPHkyDFURERGRv9Tq/3w9lrwTEeOHJk6ciJ07d6KoqMi2bePGjZBlGePHj3d77O7duzF9+nTMmTMHjzzyiMfXfPPNNwEAV1xxhU81E1GYXTyKF7/4M47WDDcb9Dug4wifT2dRBQa1N6JDszi0j4BehuRGbBJw7Wrbl6U/70L5/nVhLIiIIk2HDh0ghHB6Y2BIRERE5JmI6Gk4d+5cPP/885g8eTIWL16MnJwcLFiwAHPnzkXr1q1t+40ZMwanTp3CsWPHAFhXx5s8eTK6du2KW2+9Ffv27bPtm5aWhs6dOwMAbrnlFnTp0gUDBgxAbGwsdu3ahdWrV2Py5MkYNGhQaO8sEflPsWDXf36L51MSsC45HutLZVw+7nG/TqnTyJjYJz1ABTZOO348j5/OX8KADCOGdG4W3mK6jQf63YyvD7+DxWnNcOWBVXis8zigeZfw1kVEREREREHDnoahFRE9DY1GI7KysqDVajF58mQ8/PDDmD17NlatWmW3n6IodqvWffHFFyguLsbBgwfxq1/9CkOGDLHdnnjiCdt+vXr1wjvvvIObb74Z1157LTZv3ozFixfjrbfeCtl9JKLAufjRY3hMtq6s3tNUhV7XrAVifBuWTJ67cKkSZwsrcOSXkoZ3DoWrV+ALY0vk6LTYFB+LXf+5DVC4Uh4RERERUWMloPp181Z2djbGjRuH+Ph4tGrVCgsXLkRVlfuFIXNzc7Fw4UL069cPiYmJaNu2LWbMmIFTp07Z7bd7925IkuRwu+mmm7yuM1gioqchAPTs2RM7d+50u8/u3bvtvp45cyZmzpzZ4LkXLVqERYsW+VEdEUUK9eePsejYmygwxMKgqljWbhK0HYeFu6wm4fK2KUiI0aJnemTM94jYJMyZsBZ7tv8O38fGYKlchN5Zj6LF+KfCXRkREREREQWBKgmfF0JRJe9WXS4sLMTo0aPRtWtXbNq0CTk5OZg/fz7Ky8uxZs0al8cdOHAAmzZtwqxZszB48GBcvHgRTzzxBDIzM3Hw4EGHRXXXr19vt55H8+bNvbtjQRQxoSERUYPK8vHKtjuxLz4WALBYSUSH8X/2+7RnCsqx8cBZdGuZgAm9WkGniYhO2BGnd5tk9G6THO4y7Gg7DsdTGddh6i/bUKjR4KGf38FLR6+CtuuEcJdGREREREQBJvwYnuxtT8N169ahpKQEmzdvRmpqKgDAYrHgrrvuwuLFi+2m06tr2LBhyM7OhlZbG7kNHToUGRkZeO211/DAAw/Y7d+7d++InTqPn4yJKDqoKr7dfBvWxFlftq4pN+H/Jv8b0Mb4feqjFy4h75IJP+QUQyt7vgIvRYaMcU/hUTUFAPCVIRZrt88DinPCWxQREREREUW1rVu3YuzYsbbAEACmTZsGVVWxfft2l8elpKTYBYYA0LZtW6SlpeHcuXNBqzcYGBoSUVS4uGsJHjD9DEWSkGE245HBj0IK0KIX3VomYkTX5sjskApJYmjoiUqzEu4Samn1uHbKG5hSbp1b5KUEPT5992bOb0hERERE1MgIKH7dvJGdnW03bBiwBoLp6enIzs726lw//fQTLly4gJ49ezp8b9KkSdBoNGjbti0WLFiAiooKr84dTByeTESRL3sLYj57Hj1bNEeJLOMZ42DE978lYKdva4xDW2NcwM7XmOWXmvDWV2eQU1iBhVf3QLJBF+6SrFIy8PDIv+DgnoU4EqPHP8w5GLZlIaTrVoe7MiIiIiIiCpBArJ6cm5trtz0pKQlJSY7zthcWFiIlJcVhu9FoREFBgcfXFUJg3rx5aN26NaZPn27bnpycjIULF2LEiBEwGAzYtWsXVq5cicOHD+P999/3+PzBxNCQiCJb3k/Apt8jUQg8dz4PR9teju7Xrwt3VU1WYqwOuUWVUAVw7EIpBrY3hrskm9jL/g/PnNyNv//8X/wxvwBS7itAeh9g0Kxwl0ZERERERAGgVs9q6OuxAJCZmWm3fcmSJVi6dKm/pbm0dOlSZGVlYdu2bYiPj7dt79+/P/r372/7evTo0UhPT8c999yD/fv3O9QZDhyeTESRqzQP5a9PAaouAQDk+DR0/80bgC42YJcwWSJomG0U0GtlTOjVCjdfmYHLImUV5TraX70Sy5P7IV5Ur4y2ZQFwck94iyIiIiIiooixf/9+nDlzxnabP3++0/2MRiOKi4sdthcWFtrNc+jOSy+9hMcffxx///vfMWbMmAb3nzZtGgDrCsyRgKEhEUUmcwU+fvPXuCZRwbcxekDWAb/5J5DcJmCXEELg2Z1H8VzWURw9fylg523shnVtjt5tkmHQa8JdiiNZA0x9GUjtDAA4Jwu8/L+ZEOcPh7kwIiIiIiLyVyDmNExPT0fbtm1tN2dDkwGgR48eDnMXFhcXIzc312GuQ2c2b96MO++8E48//jhmzYrO0U8MDYko8qgKDr1zMxZoCnFRq8GKZkaI654DOvwqoJc5lV+OonIzcosrIzMAI98YjMD0N3E2LgW3pLfEs0kGrH93KldUJiIiIiKKcqqf/3lj4sSJ2LlzJ4qKimzbNm7cCFmWMX78eLfH7t69G9OnT8ecOXPwyCOPeHzNN998EwBwxRVXeFVrsHBOQyKKLKqKnzf/DndVZKNCo0Fzi4LVnW6E1H9GwC+VkRqH3w3rgGMXStEmxRDw8zd2FVUKcooq0KVFQrhLcZTWDS2n/BM9dsxBnlaL1fEy0t76P1x3y3YgJjnc1RERERERkU+ssxr6eqw35s6di+effx6TJ0/G4sWLkZOTgwULFmDu3Llo3bq1bb8xY8bg1KlTOHbsGADg8OHDmDx5Mrp27Ypbb70V+/bts+2blpaGzp2to6JuueUWdOnSBQMGDEBsbCx27dqF1atXY/LkyRg0aJCP9zGwGBoSUeQQAmc+uBdzir5AgVaLeFXFC8kDkT7m8aBcTpYldGmRiC4tEoNy/sbsp/OX8K/PTwEA/nhNT8TqIq+npq7zVVhZ+gRm73sUP8TG4BF9JfSvX4OxMz4Id2lERERERBThjEYjsrKycO+992Ly5MlITEzE7NmzsWzZMrv9FEWBxWKxff3FF1+guLgYxcXF+NWv7EfL3X777Xj11VcBAL169cLrr7+OZ555BiaTCR07dsTixYuxaNGioN83TzE0JKLIIARyt87HnPO7cEGnRayq4oWYrrjs1+sBSQp3dVRPmxQDVCEgScDZwvKIDV7jLr8Jay7l4reH/46f9To8rLuElW9ci97jXwOQFu7yiIiIiIjICypUSPBtMUtfVl3u2bMndu7c6Xaf3bt32309c+ZMzJw5s8FzL1q0KKICQmc4pyERhZ+qIue9O3F77jbk6LTQCYG/atpi4LS3AE1w/rZx6FwxLlWag3LupiA+RovbhnTA4kk9IzYwrJE67H78o8st6FBlhkWS8KC2BN9svRkoLwh3aURERERE5AVRPTzZ1xt5h6EhEYWXYgb+cydSvn0TaRYFelXgWaklht60GdDGBOWSpSYLNnxxGiu2ZuMnrprss+6tEhGnj44O62mj/oR/dLoJGWZrcPh3uQjqPycBJefCXRoREREREXlIFYpfN/IOQ0MiCp/KYuD1qcD3byJeCKw9fwH/0HXAiBnvA/q4oF02v9SEGK0GGllCRmrwrkORpeWYpVjfcTqGl1fgb7/kQXfxJ+DlCcCF7HCXRkREREREFHEYGhJReBSdxgf/HIMTZ/bYNiX3uB79b9oE6IK7knH7ZvFYeHV33HRFRkQu4BFNhBA4duESXvv8JEyWyP/LXYsxS7BmwENoqVQPTSg+jbxXxsGcvSW8hRERERERUYM4PDm0GBoSUchZjn6IVa+Pw8OxJtzVMg0FsgxcOReYuh7Q6kNSQ6xOg8taJ4XkWo1ZSaUF6z87icO5l/DFz9ExR6AYNAvFY5+BkHUolST8vlkcZn/8B+R/vAIQItzlERERERGRC9bwT/HxxtDQWwwNiSh0VAUXs5ZiTtY9WJ9gDQebKSow+lFg4p8BObi9/oQQEAyFAirZoMOADCPaGg1IT44Ndzkeq+xyDdRb/4uPjC1wTK/H17ExmHbsn/jy9eu4QAoRERERUYQSQoXq400IhobeYmhIRKFR8DM+fnU0pp58G18ZrOHSjWVVeGXks0gddn9ISvj6dCH+9vFxZP9SEpLrNRXXXd4ad13VGV1bRvYqyg4yBuO6W3dgmSkWMaqKC1otZltO4m//HA7L8V3hro6IiIiIiOrh8OTQYmhIRMGlKij9fA2WvjEB92gKkK/VIFZVsbwqHn+avh36HpNCUoYQAh8fycOZggp8eYI9yQJJr5UhSVK4y/CNsT2un7kbGxIHomOVGaokYW2cjFuy5uLof+YAJq6uTURERERETRNDQyIKnnPfAi+Pw4v7n8a7CdbehX0qTXi7+ShcN3M3YGwfslIkScLUge2QlqDHqB4tQnbdpqa8yoKvTxeGuwzv6OPRbepreHPAw/h1WSUA4FBMDKYVfY69L14JHHyXcx0SEREREUUAARVCKL7d2NPQa9pwF0BEjVDxWWD3U8C3GwCh4neyhA8S4jC1Ssac8eug7Tw6LGVlNIvDH8Z2gyxHaa+4CHe+pBIv7zmBS5UWpBh06JSWEO6SvBI3cCYe7zgC4/47G4+pubBAQt+Cc8A7s4AvXwHGPwG0GRDuMomIiIiImiwVKuBj+KcyNPQaQ0MiCpxLuTj72UqsPfU+riwvx/9VTzSbLCR8kH4NYkc/AsQmh7QkIYTd0FkGhsHTLF6PeL0WlWYFheXmcJfjm9ROGH77Tmz+Yi1+3vM0Emp6GJ7agw9fn4TEtpkYMmoZpPQ+4a2TiIiIiKgJEsL3uQm5EIr3GBoSkf/yspH30VN4tnAftsXFQok3YH+MDhPKyhHb5grgmpWITb885GUJIfCfb3MgSxKu7t0KMdrgrs7c1Gk1Mm7KbAdZkpCWGBPucnwny0gccg8u7/0bIOtx4Nt/o1ySsLx5KgrMJ9DvvSmYGdcRVw19CJpOo4Bonc+RiIiIiIjIDYaGROQbcwXMh9/Drq/X4e3Ks9hviAXiDQCAVEXBTEsMNFPXA5dNDluocuhcCfafsM6vlxSr41yGIdAyKdZhW/3enlEjsSUw+QXgilm4mPUoWlceRYFGg29jY/AH9RwyProL07LicP1lM2AcMAuISw13xUREREREjZqAAuHj8hwCSoCrafwYGhKR56rKgBOfAof/h6+OfYAHUuNQoNEABmtQlG6xYKbFgF9fsQCGy2cAmvC+xPRqnYThXZujuMKMkd3SwlpLU7X7yAWUmRRM6tMqOoNDAGgzEBm3fYANJ/bgk0+W4NWK0/jKEIvTOh1Wwoxnj72KUd+vw6LkvkjrfSPQ/eqQD8MnIiIiImoKhBB+DE/m4obeipjVk7OzszFu3DjEx8ejVatWWLhwIaqqqho8TgiBFStWICMjAwaDAUOGDMG+ffsc9jt37hymTJmCxMREpKamYvbs2SgpKQnGXSFqPIQALh7Dpc+exY7XxiHv6c7AGzcC3/4bncqLUSxbX0IyKyqxwmzEe5nLMWPOVzAMuC1sgaGi1r4RSJKEib1b4cZB7TiXYRj8cLYYHx46jz3HLuLr00XhLsdvUsdhGHl7FtZfvxFvGnrh+tJyxKoqLJKEvYYYJB3LAjb/HvhzR1x4eQzO7vgTcGY/oFjCXToRERERUaMgoPp1I+9ERE/DwsJCjB49Gl27dsWmTZuQk5OD+fPno7y8HGvWrHF77J///GcsWbIEK1asQN++ffHCCy9g/Pjx+Pbbb9GpUycAgNlsxoQJEwAAGzZsQHl5OR588EHMmDED77//ftDvH1HUqCwGzn2D/NN7cDDnCxwsOY6vJDO+jY2BRZLwx1gNbqpe3yJVVfH4JQv6dJqAjEFzkSeM0KWlAXJ4/hYhhMBP50vx3nc5mDaoHdo3iwdgDQ6jtYNbtLusdRL6tk1GYXkV+rVLCXc5gdO6H3pNexPLSvPw0NevYuuPG1BScRExNXm1UPDWpaN48dwFZJx6B0OqVAxM7IheLQegXbthkFr3A5Jacy5EIiIiIiKKaBERGq5btw4lJSXYvHkzUlOtc0JZLBbcddddWLx4MVq3bu30c4sa1wAAKjlJREFUuMrKSjz11FN44IEHcP/99wMAhg8fjm7dumHlypVYu3YtAOCdd97BoUOHcPjwYXTv3h0AYDQaMWHCBOzfvx+ZmZkhuJdEEcJiAi7lAoUnIfJ+glTwM5B/FOLiT3hIV4bvYmJwTlf90hCnAWBdPEQWAjlaLZDUFug6Frjs/3B9x5GArIGiKEBeXvjuE6zh4Mc/XUBBmRnvHDiL+8d2Y+/CMNPIEm66oh1MFhWaOo/FgVMF0MoyLmudBJ0mYjq8ey8hDUkjFuDG4Q8Cv3wPHNwEHP4fUHAcB2KtC8Gc1ulwWge8pZ4Dcs8h8ex76FlVhcGKBnMSewDNOgOpnapvnQFje0AbxYvIEBEREREFk1Ag4OPnPME5Db0VEaHh1q1bMXbsWFtgCADTpk3D3LlzsX37dsycOdPpcXv37kVJSQmmTZtm26bX63HDDTdg06ZNdufv27evLTAEgHHjxiE1NRVbtmxhaEjRSTFb5xg0l1v/X1UGVJUCFUVARQFQUYhTJadRWJGHvLILuFCZj/PmS7ggqnBBo8EZnRbTSkoxp9g6TF8CcLx1K1tgKAmBjmYL+lSZMTQ+A0M7TkBKj+uBFj3D3kOquMKMYxdKUWayYESduQpHdW8Bs3Iev+7fhoFhhJAkCbG62lWrTRYFW374BeVVCq7u3cpursmoXTBFkoD0y623cY8BhSfx4tEd+O7YB9hbeAif6yQc0ethkSRc0sjYb4hFTHkF8PNH1huAlakp+Co2Bm3NFqRJOqTpEpCmT0FaXBqax7dCiiENzRNaWedKrH/TJwDa2LDPIUpEREREFGxCqIDPcxpyeLK3IuITRnZ2NmbNmmW3LSUlBenp6cjOznZ7HAD06NHDbnvPnj1x+vRpVFRUwGAwIDs722EfSZLQo0cPt+cPi4oiSJ88jbLiAlzUydDKMvRaCTWj3syKgEVVoZUk9Kgz0f4FcwXOmysgAYjRaWCd31NAUVVUqdYcvndMMuTqD+RFFhNOmssAAAatxnZ+RagwW6w/SN1jE2GQtAAEKlQLfjRZw6VYjWz7YC8AVJoVAAKddPEwavW2mr4qzwcA6DQaaGVAVF+l0qxCQKCN1oDW2tqVVr+rLEalUKCTJWg1tffZZFYhhEBzrR6ddfHVVwUOm0pRpJqhlQGdXLt/laJCUQWSZC16xyTazn+8qgy5lkpYzGacNcRAkmQA1va0KAI6SUZmTG2b5lgq8LOlAjIAvba2N5SiKqhSrG06JMYIrSQBEChQzPih6hIAIKbO/ioEqiwqAIEB+iQkydYfu3LFgs9NhbAICyRJgSoUmIUFFtWCSosCRVjwK0VGR1UAihlCNeM5vQKTUFAhLKiQBMolCRWyhHJJRoUs4ebiS5hSWma79qx2rXFBW/1jrgeg1wHQ2b5/Qlf7bwC48VIpipVmuCy5Ky7PGIaEjCFAq764WKVBscmCKr0GLeqEOgVlVSipMEMn1/RHtCouN6OwvAo6rYw2KQbb9pJKM/JLq6CVJbRLjbNtLzVZ8EtxJQCBLi1qH7O8SyZ8c7oQFlVgUp902/YzBeV458BZaGUJmR1TbaFUlxYJ6NIiITqDpyaiokpB6xQDjl0oxWXpSbbtqiqwfMthxMdoMWVAW2Q0sz4/hBDY93MBYnUyOrdIQFJs7XP2VH4ZJEhonqhHnL727exCSSUUIZBs0Nltz7tkgqIKGHT2z4+CsiqYFRVxeg0S65y/uNwMk0VBjE6DZEOd7RVmmMwKYrQaJMfVbi81WVBeZYFO3xrGzDm4InMOrlAsuOPMAZSd/hJnfvkCR4uO4HDVRVxmqrSr4bBej0MxMTgUU9PLsArABaD8AlB+CP0rK/Fa7gXb/v9ITkJWvAGJqop4VUAvBGIEoJc00EsyUqHB78w6KHIMhCYGP+s1yNYCsiRDlmQIIUGCDL1GA60kQyPJGKY1okqVAUlCqQY4CRM0kgxJkmFRrftrZQlaWQIkCV00CRAKoApAkQVOi3KYKk3Ij42FRVGhCgGtLEOnsf58ttEYoFe1UIQKCRJOS+W2+2NRVSgqoJEAvVYDQEJzTQzihQ4WRUCWJPwilUOpfqW3qIBZUaGRZMTorK+3SZIOKVIMTBYVkgQUyyZUVP81WRE1r8OAofr1wiBp0EI2oNJs3V4um3EJZtvzrrJ6/1it9T1PCwntNAkoN1vPadJYUCRq516uqN6u18rQVL8GddAkVL/nARZZQT5Mtv1NZgUqAJ3G2q7WNoqDsEhQhICQBS6gAgAQBw0STAIY/SCQ7Hz0BREREVFTYM0VfAwNwYVQvBURoWFhYSFSUlIcthuNRhQUFLg9LiYmBrGxsXbbjUYjhBAoLCyEwWDw+fwAUFJSYrdgSm5uLgBAURTrkMxAqyiG5vM1eKOZEW8lJbrcrYXFgqwz52xff5iUiL80M7o99f6TZ2CoXi3oe0Ms7m7Vwu3+G4/kokeV9QPUea0WM9u5/6Cy8nweJpRX2L7+bccMt/vPKyiy9XIDgMVt03G6XohV1/WXSrHsYu3j9VzLNOyJM7jcv1+lCf/KPW/7+p3UFPw7uTqkKHfcP1VR8HF2ju3rTxITsLx5de9XF2vyfHbsDJKqF97INsTinpo2dbHuwRunfkHv6gV+CrUa/KFdG+s36r52ybAGfAD+fOEiOpZZi5UAvNKhHVRJU7tDPee19j/SyaqKCwC0QqCFRUELRUELiwXNVRnJIg49DD2hDh0ENO8CkdoZysk4HM+XYGxvxOD+bWwL0n+UnYMDpwrRKz0JM66sfVw/P5aHT49dRPtUA/6ve4LtZ+LAqXxs//E8WibGYt6YLrb9f8wpwn++PYekWB0eurq25+/x8yV448sz0GtlLLn2Mtv2/NJK7Mq2Poajuze3DWVtlaSHVgLapMSiuNwEXULjHM6pKApUVQ3Oa02YJMZoMHNIBkoqzEgyaG337UJJJUpNZpSazNBIwrbdrKj477dnAQCzftUB8WkJtnO99MnPsKgqpl/RDr3b1Ab+L35yHKUmC37dvw0Gta99XfzX5ydw4ZIJ43qkoacRtmu8/eVpnMwvw4iuzTGhVyvb/v/99ix+zC3BoPZG/Lp/G9v27Ydynf48fJx9Hp8eu4gOzeIxZ3jH6q0SPq9sjw/zYtEyZRzmTekCWCqBCz/iePa3OHH0IFpZzmGaNgd9SvOQCwUXNRpc0GhwUatBafUcoQmq/S84J3VaHIxx/bxvY7Zg9oWTtjf5PcmJeDa1ui3qnqrOU+vbnz5Gzbvpp3EGzG/pfsXx986eQ0ez9cXuiE6Hm9pWB/uVzvdf88sFjKywfrNSkjC1Qzu3538wvxC3l1yyvdr9ru4fQZyYVnIJj+QX2u7zva1aYL8h1uX+V1ZU4h+/XEB89dcrmxnxjpv33VYWC3acOWfb/52kRKxs4H33wInTqPnzyEdxBsxroE3fPZuLbmbr++7POi3+r631ffea0jKsyMuHOXMmkNDS7Tn80Zhea4iIiIjIfxERGkayVatW4bHHHnPYnp+fjxg3H9h8JZcWwH2UR42RVgjohIBWAFoIaIWAFkBMvSXh+5lM0AjAIATiVBVxQiAWGmiFDJ2qRR+pGarSu0GNTYEak4zfFSgoNSWgc6uO6NShI5T4llDjW+Jf35fipyITjB2ScKFL7YfefNMFVFZU4NKlS8irM0fhpZJLqKyoxKVS2W57cUkJKisqUVamorjY+mFTlmUUFxdbt2sUu/2Liqzn0apmu+2FReWorKiESQIuXLhg6yloLquCUafCoNcgJ/cC4mOsPYSEELhzcHPIkgRRUYK82qy6UVFVFcXFxQCs7drY5JXW/rvSrGB85wQUVViglBcjr7rXboVZQQwsqDSrKCspQh5qH+yy8nIIAZQUFyFPX6fHV0UFKk0KioqKkBdXm+CXlZWjssKM4pISFMvWny1ZllFWVorKChOKS0qQl1fbZ/bSpVLr897rnwdhv73Iyc+Drh2OphqxLakv4mM0uHd4W1wOQKoqxakzZ/DFj8dgNOVjXHsziirOQRNThnx9JS7k58OglOIqVKJlqQmlwowyqKiSJFRJEkzV/29WL/zRCiBZUaBCgipZ/zar1Pm3Kkmo+wzjwI3IVFhYCFUTvPlj8/Pzg3ZuIiIiokCwDjH2bWQZhyd7TxJChL1/ZosWLfC73/0OTz31lN32Nm3a4NZbb8WKFSucHrd27VrcfffdqKiosOtt+NJLL+GOO+5AWVkZDAYDMjMz0blzZ7zxxht2x//qV79Cu3bt8Oabb7qszVlPw8zMTJw8eRJt27b15e66V1kCfPZXnCophEWvgUZTO7RLAmBRBCzCOpQ2I7a2x02RuQoFigmyJEFf3RtLkiQoqoCluodKRkyibXhymWLGRXMlIEmI1dZ+SBYCMCnWH6R0fRz0sgaQJFSpCi5UWT+s67Qy5Do/pFWK9fxGbQzitDU9BSXkmEohQYJOI9kCDwkSTNVDuBK0eiTWGc58wVQBFQIajQStbX/AZFEBARi0WiTpaoPawioTzEJAI1mvUcOiWIcEayUZKfoY1LygXDKbYVLMqKioRHJSPGRJhiTVtCmggVS9PwBJQoXFgkpFgSTVDE+WIAFQVAFFFYAkIUmntwVcVYqKCsUaUOi1MiRIkCQJqipgVq1tGq/TQyNZ75uqqqhQAY1GD70+BrJWByHrAFmLSlUDaLS27ZCtt0pVgtDGQhebAG1sAqAzAJKMiioFAgJ6jQxtnYUlKs0KVCGg08h2C06YzApUYV2oou7Qa5NFhaoKh+1VFuuQb1mW7IZem6uHggtVRUlRAZo3bw6NRgNL9XZI9vvbtsM6jL5GzfNUJ0uci7AORVFw8eJFW7uSvZrnsU4j2T3vSyrMEABidRq759+lSjMUVUAnA6XFhbZ2vVRpgUVVEavVwKCvExpWWmBWVMRoZcTH1P6NrdRkQZVFhU4jIzG2dnt5lTXc1MoSkuoMZ66oUlBhVqCRJbthziazgrIq62uMMa72tdBkUVFmsr6WpMbXbjcrKi5VWrcb43S21x6LuQolZWWQLCYkaxXIahWgmKBWVaK03Lo9XjZDFmZAVQChoqyyChAqYjWAVhYQigUSVJRVmgGhQCMLKKiCoipQVQvKTFUQENa2lq1TOyTLMbBYBIQQgCRQAhMqyssRa4iFRRVQVUAjw/Z6nizrIKkyVFVAkgSKqrskCojq1xJAlmB7PU+UdYgVGtvw5AJU2IYnK4qAWah200fESTokSzrb9BElchWqaoYnqwLm6tee2Or99ZIGzaVY23teuWRGRXU3cVUVqKp5rdJYX8tlSEjXxNmGLVdJFttwZgiByur3Qp0s2Rb+aaOJh8liHZ6sSAqK6nRbr9murdNGLTVxUBUBVQBCEiiobiODkBFbpSJm+Dxokmunagi0s2fPokOHDjhz5kxwfseJUmfPnkW7du2g1cbAYnExlIACQqfToV+/y/Htt9/BXN3rloKDbR06bOvQYVuHjlarhcViCunvDLb3Y01zSJJvn42EUGBRLvJ3HS9ERE9DZ3MLFhcXIzc312EuwvrHAcCRI0dw+eWX27ZnZ2cjIyMDBoPBtt8PP/xgd6wQAkeOHMG4cePc1paUlISkpCSH7RqNJjgf4uONUMY8gri8PKSlpXl8jdTqm6cSq2+eigXgfrCxI/cDzxy1angXO8283D8Z1hAmLy8PiR60bXz1zVOx1TdPyXD9GLi6rqvtCQbn9yXexX2M83K7wcX2mjZUFAWlsmz7uXDVtq63uxpwTXKddiV7rp6vxgTn21Pia5+v5Zdq27Vmu6v960uOc7490aBBopMZExIMGiQ42R6n0SDOyYtGnEaDuBjHqRo0Gg1i9c62G5AW63gBDQBXg2cd39WsXL0muXp/qftzG1v9+urpe1dcg3tY1fypqI3bvWrVtJCn56/5RcjT1/v4Ov93PzjZsQ5X7e5KzZ8Ga9674pI9/73AF3ydISIiokgn/FgB2Z9jm6qIGO82ceJE7Ny5E0VFRbZtGzduhCzLGD9+vMvjhg4diqSkJGzcuNG2zWw2Y9OmTZg0aZLd+b/77jscPXrUti0rKwv5+fl2+xERERERERERUaSqWQjFl1vYB9pGnYgIDefOnYvExERMnjwZ27dvx/r167FgwQLMnTsXrVvXLr4xZswYdOlSu6hCbGwsFi1ahJUrV+Kvf/0rdu3ahenTpyM/Px8PPvigbb+pU6eiV69emDJlCt5//328/fbbmDVrFq655hpkZmaG9L4SERERERERERFFuogYnmw0GpGVlYV7770XkydPRmJiImbPno1ly5bZ7acoisNcMg899BCEEFi5ciXy8vLQr18/fPjhh+jUqZNtH51Oh23btmHevHmYPn06tFotbrjhBqxevTok94+IiIiIiIiIiPzjz2ImXAjFexERGgJAz549sXPnTrf77N6922GbJElYtGgRFi1a5PbYNm3a4N133/WnRCIiIiIiIiIiChMBP0JDP45tqiImNCQiIiIiIiIiInLNn+CPoaG3ImJOQyIiIiIiIiIiIoocDA2JiIiIqNF5+umn0b9/f6SkpCA+Ph59+vTBmjVrIARXTiQiIopaQvXv5qXs7GyMGzcO8fHxaNWqFRYuXIiqqqqGyxQCK1asQEZGBgwGA4YMGYJ9+/Y57Hfu3DlMmTIFiYmJSE1NxezZs1FSUuJ1ncHC4clERERE1OgUFRXhxhtvRO/evREbG4usrCzMmzcPJSUlWLx4cbjLIyIiIh8ICPg6zNh6rOcKCwsxevRodO3aFZs2bUJOTg7mz5+P8vJyrFmzxu2xf/7zn7FkyRKsWLECffv2xQsvvIDx48fj22+/tS3cazabMWHCBADAhg0bUF5ejgcffBAzZszA+++/79N9DDSGhkRERETU6Cxbtszu67Fjx+L06dN49dVXGRoSERFFLRWA5OOx3oWG69atQ0lJCTZv3ozU1FQAgMViwV133YXFixejdevWTo+rrKzEU089hQceeAD3338/AGD48OHo1q0bVq5cibVr1wIA3nnnHRw6dAiHDx9G9+7dAQBGoxETJkzA/v37kZmZ6eP9DBwOTyYiIiKiJqFZs2YeDSkiIiIi2rp1K8aOHWsLDAFg2rRpUFUV27dvd3nc3r17UVJSgmnTptm26fV63HDDDdiyZYvd+fv27WsLDAFg3LhxSE1NtdsvnBgaEhEREVGjZbFYcOnSJXzwwQd47bXXcN9994W7JCIiIvKZAISPNy97GmZnZ6NHjx5221JSUpCeno7s7Gy3xwFwOLZnz544ffo0KioqXJ5fkiT06NHD7flDicOTvWSxWAAAubm5QbuGoijIz8+HyWSCRqMJ2nWaIrZtcLBdg4PtGhxs1+BguwZPqNq25nebmt91GoNjx46ha9eutq//9Kc/2YYJuVJSUmI3AfmZM2cAABqNDP7qHFwajQYWiwUajYYL1gQZ2zp02Nahw7YOHY1GhsUSrt8ZhNdzE9ZXP89JSkpCUlKSw36FhYVISUlx2G40GlFQUODy/IWFhYiJiUFsbKzDcUIIFBYWwmAw+Hz+UOJvPl7Ky8sDgIgYW05EREQUaHl5eejQoUO4y3BQXFzs0R9tO3XqBL1eDwBo164dvvzyS5SWluLTTz/FihUrIMsyHnvsMZfHr1q1yun3TaYK34snj1gsJnzzzYFwl9EksK1Dh20dOmzr0KnJCk+cOBGy3xkSEhKQmprqd5hmMBgc8pwlS5Zg6dKlfp23sWJo6KU+ffpg//79SEtLg1YbnObLzc1FZmYm9u/fj/T09KBco6li2wYH2zU42K7BwXYNDrZr8ISqbS0WC/Ly8tCnT5+gXcMfGzduxJw5cxrc7/Dhw7ahPjExMRg0aBAA4KqrrkJSUhIeeOAB3HnnnWjVqpXT4+fPn4/Zs2fbvj5x4gRGjBiBvXv3ol27dgG4J+QKX0dCh20dOmzr0GFbh86ZM2cwdOjQkL4vpqSk4Pjx4ygtLfXrPKqqQpbtZ+pz1ssQsPb4Ky4udtheWFhoN8+hs+NMJhMqKyvtehsWFhZCkiQYjcYGzx8pv3MwNPRSbGwsrrjiipBcKz09HW3btg3JtZoatm1wsF2Dg+0aHGzX4GC7Bk8o2jYSexjWmD17tl2Y54uBAwdCURScPHnSZWjoaohSu3bt+NwOEb6OhA7bOnTY1qHDtg6d+sNvgy0lJcXpcN5gcTa3YM3Ih/pzEdY/DgCOHDmCyy+/3LY9OzsbGRkZMBgMtv1++OEHu2OFEDhy5AjGjRsXqLvhFy6EQkRERERNwp49eyBJEjp27BjuUoiIiCjCTZw4ETt37kRRUZFt28aNGyHLMsaPH+/yuKFDhyIpKQkbN260bTObzdi0aRMmTZpkd/7vvvsOR48etW3LyspCfn6+3X7hxJ6GRERERNSoFBcXY9KkSbjlllvQpUsXmM1m7N69G3/9619xxx13oGXLluEukYiIiCLc3Llz8fzzz2Py5MlYvHgxcnJysGDBAsydOxetW7e27TdmzBicOnUKx44dA2Dtgblo0SIsXboUaWlp6NOnD9auXYv8/Hw8+OCDtuOmTp2K5cuXY8qUKVi+fDnKy8vx4IMP4pprromYdTQYGkagpKQkLFmyxOW4evId2zY42K7BwXYNDrZrcLBdg4dt673Y2Fh069YNq1atQk5ODgwGA7p06YJ169bhtttu8+pcbP/QYVuHDts6dNjWocO2Dp2m0tZGoxFZWVm49957MXnyZCQmJmL27NlYtmyZ3X6KojisJP3QQw9BCIGVK1ciLy8P/fr1w4cffohOnTrZ9tHpdNi2bRvmzZuH6dOnQ6vV4oYbbsDq1atDcv88IQmuRU5ERERERERERER1cE5DIiIiIiIiIiIissPQkIiIiIiIiIiIiOwwNCQiIiIiIiIiIiI7DA2JiIiIiIiIiIjIDkPDKPD000+jf//+SElJQXx8PPr06YM1a9aAa9j4TlEU/OUvf8GIESPQvHlzpKamYtSoUfj000/DXVrU27FjB2bMmIHOnTtDkiTcc8894S4p6mRnZ2PcuHGIj49Hq1atsHDhQlRVVYW7rKh37NgxzJ07F/369YNWq0Xv3r3DXVKjsHHjRvzf//0f2rZti/j4ePTr1w+vvPIK36P8tGXLFowcORJpaWmIiYlBp06dMH/+fBQXF4e7tEbF19dbIQRWrFiBjIwMGAwGDBkyBPv27QtBxdHLl7bOzc3FwoUL0a9fPyQmJqJt27aYMWMGTp06FaKqo1Mgfo949tlnIUkSrr322iBV2Tj409Y5OTm4/fbbkZaWBoPBgJ49e+L1118PcsXRy9e2zs/Px9y5c5GRkYH4+Hj07t0b69atC0HF0cvX35n53tg4acNdADWsqKgIN954I3r37o3Y2FhkZWVh3rx5KCkpweLFi8NdXlSqqKjAU089hZkzZ+Khhx6CRqPBiy++iFGjRmH79u0YPXp0uEuMWtu2bcN3332HkSNHoqCgINzlRJ3CwkKMHj0aXbt2xaZNm5CTk4P58+ejvLwca9asCXd5Ue3QoUP44IMPcOWVV0JVVaiqGu6SGoVVq1ahQ4cOeOaZZ5CWloYdO3Zgzpw5OHPmDJYsWRLu8qJWQUEBrrzySsybNw/NmjXDwYMHsXTpUhw8eBDbt28Pd3mNgj+vt3/+85+xZMkSrFixAn379sULL7yA8ePH49tvv0WnTp1CdA+ih69tfeDAAWzatAmzZs3C4MGDcfHiRTzxxBPIzMzEwYMHkZaWFsJ7ER0C8XvEL7/8gsceewwtWrQIcrXRzZ+2zs3NxZAhQ9C9e3e8+OKLSEpKwqFDh2AymUJUfXTxp61/85vfIDs7G8uXL0dGRga2bNmCO++8ExqNBnPmzAnRPYguvv7OzPfGRkpQVJoxY4bo2rVruMuIWhaLRRQUFDhs69Gjh7j22mvDVFXjoCiK7d/t27cXd999dxiriT7Lly8X8fHxIj8/37bt73//u9BoNCInJyeMlUW/us/N22+/XfTq1SuM1TQeeXl5DtvmzJkjkpKS7Nqc/Pfiiy8KAHwtCBBfX28rKipEUlKSWLRokW2byWQS7du3F3feeWdQa45WvrZ1YWGhMJvNdtvOnDkjJEkSK1euDFq90SwQv0fceuut4rbbbhMjR44U11xzTbBKjXr+tPUtt9wihg4dKiwWS7DLbBR8bevc3FwBQKxfv95u+4gRI8To0aODVW7U8+V3Zr43Nl4cnhylmjVrxuGKftBoNDAajQ7b+vbti3PnzoWpqsZBlvmy4o+tW7di7NixSE1NtW2bNm0aVFVl7yI/8bkZHM2bN3fY1r9/f5SUlKCsrCwMFTVezZo1AwC+/weIr6+3e/fuRUlJCaZNm2bbptfrccMNN2DLli1BrTla+drWKSkp0GrtB0a1bdsWaWlp/H3NBX9/j9izZw/+85//YMWKFcEss1Hwta1LSkrw9ttv46677oJGowlFqVHP17Y2m80AgOTkZLvtycnJnEbFDV9+Z+Z7Y+PFT1BRxGKx4NKlS/jggw/w2muv4b777gt3SY2KxWLBvn370LNnz3CXQk1YdnY2evToYbctJSUF6enpyM7ODlNVRN7Zs2cP2rRpg8TExHCXEvUURUFlZSW+/vprPP7447j++uvRoUOHcJfVKPj6elvzvfrH9uzZE6dPn0ZFRUXgi41ygXxv++mnn3DhwgX+vuaCP22tKAruuece/PGPf0R6enowy2wUfG3rr7/+GlVVVdDpdBg5ciR0Oh1atWqFhx56yBZykT1f27pdu3YYP348li9fjh9//BGXLl3C22+/je3bt+Puu+8OdtlNCt8bGy+GhlHi2LFj0Ol0SEpKwrXXXot7770X999/f7jLalT+8pe/ICcnh+1KYVVYWIiUlBSH7UajkXNEUlTYs2cP3nzzTTz44IPhLqVRaN++PQwGAwYOHIj09HRs2LAh3CU1Gr6+3hYWFiImJgaxsbEOxwkhUFhYGOhSo16g3tuEEJg3bx5at26N6dOnB7DCxsOftl67di3Kysr4u7CHfG3rX375BQAwe/ZsDBo0CNu3b8f999+PZ599Fo8++miwyo1q/jyvN23ahJYtW6JXr15ISkrCjBkzsHr1akyZMiVI1TZNfG9svLgQShgUFxcjNze3wf06deoEvV4PwPpXki+//BKlpaX49NNPsWLFCsiyjMceeyzY5UYNX9q1xo4dO7BkyRI8+uijGDhwYLBKjEr+tCsRNS1nz57FjTfeiFGjRmHevHnhLqdR2LJlC8rKynDo0CE8+eSTuO6667Bjxw4OaaMmaenSpcjKysK2bdsQHx8f7nIalQsXLuDRRx/Fa6+9xt/ngqxmUYmxY8fimWeeAQCMGjUKly5dwsqVK/Hoo4/CYDCEs8RGQwiB3/72tzh69Cg2bNiA9PR07NixA3/4wx9gNBpx0003hbtEoojH0DAMNm7c6NFKTYcPH7Z1742JicGgQYMAAFdddRWSkpLwwAMP4M4770SrVq2CWm+08KVdAesQgSlTpmDGjBn8654TvrYr+cZoNKK4uNhhe2Fhod08LkSRpqioCBMnTkSzZs3w7rvvcg7JAOnbty8AYMiQIbjiiivQr18/bN68GVOnTg1zZdHP19dbo9EIk8mEyspKux4VhYWFkCTJYc5kCsx720svvYTHH38cL7/8MsaMGRPoEhsNX9v60UcfRd++fTF8+HAUFRUBsE7dY7FYUFRUhISEBIf5JZs6f15DAGD06NF228eMGYNly5bh2LFj6NOnT2CLjXK+tvUHH3yAjRs34vvvv7e16VVXXYULFy7ggQceYGgYQHxvbLz4G30YzJ49G0KIBm/uApiBAwdCURScPHkydIVHOF/a9dixY5g4cSKGDh2Kf/zjH2GsPnIF4vlKnuvRo4fD3Cw1vT3ZxhSpKioqcO2116K4uBhbt251mHCcAqNv377Q6XQ4duxYuEtpFHx9va353pEjR+y2Z2dnIyMjgz2EnPD3vW3z5s2488478fjjj2PWrFnBKrNR8LWts7Oz8cknn8BoNNpun332GT788EMYjUbs3Lkz2KVHHV/b+rLLLnN73srKyoDU15j42tY//vgjNBoNevfubbe9f//+OHfuHMrLy4NSb1PE98bGi6FhlNqzZw8kSULHjh3DXUrUys3Nxfjx45GRkYF33nkHOp0u3CURYeLEidi5c6ftr/yAtbenLMsYP358+AojcsFisWDatGk4fPgwtm3bhjZt2oS7pEbriy++gNlsRqdOncJdSqPg6+vt0KFDkZSUhI0bN9q2mc1mbNq0CZMmTQpmyVHLn/e23bt3Y/r06ZgzZw4eeeSRIFca/Xxt62effRYfffSR3e3yyy/H4MGD8dFHHyEzMzME1UcXX9u6ffv26NOnj0MQu2PHDhgMhgZDxabIn7ZWFAXff/+93fYDBw6gRYsWiIuLC1bJTQ7fGxsxQRGtqKhIDB06VKxdu1Zs375dfPDBB2LBggVCr9eLuXPnhru8qFVeXi4uv/xykZiYKN577z3x+eef225ff/11uMuLaidPnhQbN24UGzduFGlpaeLqq6+2fU0NKygoEOnp6WLkyJHiww8/FK+88opISUkRd999d7hLi3plZWW25+JVV10l2rVrZ/v6woUL4S4vas2ZM0cAEM8884zda+nnn38uKisrw11e1Pr1r38tli1bJv73v/+JnTt3imeeeUa0atVK9O3bV5hMpnCX1yh4+no7evRo0blzZ7ttTz31lIiJiRHPPvusyMrKElOmTBGJiYni+PHjobwLUcPXtv7xxx9FcnKy6N27t/jss8/sXl+OHTsW6rsRFfx5Xtc3cuRIcc011wSz3KjmT1u/9957QpIkcd9994nt27eLZcuWCZ1OJ/74xz+G8i5EDV/buqSkRGRkZIguXbqIf/3rX2Lnzp1i4cKFQpZl8cQTT4T6bkQNT35n5ntj08HQMMJVVlaKmTNnii5dugiDwSBSU1NFZmameOWVV4TFYgl3eVHrxIkTAoDTW/v27cNdXlRbv369y7Ylz/z4449izJgxwmAwiBYtWogHH3yQIUEAuPu5/+ijj8JdXtRq3769y3Y9ceJEuMuLWk899ZTo16+fSExMFPHx8aJXr17ikUceEcXFxeEurVHx5PV25MiRDr8bqKoqli9fLtq2bStiYmLElVdeKfbu3RvCyqOPL23t7neK22+/PbR3IIr4+ryuj6Fhw/xp6zfffFP06tVL6PV60b59e7F8+XKhqmqIKo8+vrb10aNHxbRp00Tr1q1FXFyc6NWrl3j22Wf5WdoNT35n5ntj0yEJIURQuzISERERERERERFRVOGchkRERERERERERGSHoSERERERERERERHZYWhIREREREREREREdhgaEhERERERERERkR2GhkRERERERERERGSHoSERERERERERERHZYWhIREREREREREREdhgaEhERERERERERkR2GhkRERERERBTR/vOf/2Dt2rXhLoOIqElhaEhEREREREQRjaEhEVHoMTQkIiIiIiIiIiIiOwwNiYgiSElJCdq3b4+pU6fabZ87dy6aNWuGc+fOhakyIiIiovCYOXMm/vnPf+LQoUOQJAmSJGHmzJnhLouIqNHThrsAIiKqlZSUhPXr12Ps2LH417/+hVtvvRVbt27F3//+d7z55pto3bp1uEskIiIiCqlHHnkEeXl5yM7Oxuuvvw4ASEtLC3NVRESNnySEEOEugoiI7N1333345z//id27d2PSpEm46qqrsGHDhnCXRURERBQWM2fOxFdffYWDBw+GuxQioiaDw5OJiCLQihUrkJ6ejsGDB0OWZbzwwgvhLomIiIiIiIiaEIaGREQRyGAwYPLkyTCZTJgxYwaMRmO4SyIiIiIiIqImhKEhEVEE+v7777Fq1Sr0798fzz//PA4fPhzukoiIiIiIiKgJYWhIRBRhqqqqcOuttyIzMxP79u1D7969cdttt8FisYS7NCIiIqKw0Ov1qKysDHcZRERNCkNDIqII8+ijj+L48eN49dVXodfr8dprr+HgwYN48sknw10aERERUVj07NkTJ0+exBtvvIGvvvoKJ0+eDHdJRESNHldPJiKKIHv37sXw4cOxdu1a3HHHHbbtzz77LBYsWIDPP/8cgwYNCmOFRERERKFXUlKCO+64Azt27EB+fj5uv/12vPrqq+Eui4ioUWNoSERERERERERERHY4PJmIiIiIiIiIiIjsMDQkIiIiIiIiIiIiOwwNiYiIiIiIiIiIyA5DQyIiIiIiIiIiIrLD0JCIiIiIiIiIiIjsMDQkIiIiIiIiIiIiOwwNiYiIiIiIiIiIyA5DQyIiIiIiIiIiIrLD0JCIiIiIiIiIiIjsMDQkIiIiIiIiIiIiOwwNiYiIiIiIiIiIyA5DQyIiIiIiIiIiIrLD0JCIiIiIiIiIiIjs/D9hPAmRKwLBawAAAABJRU5ErkJggg==", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "mu, sigma_sq, init_sigma = 0.1, 0.16, 0.2\n", "T, n_t = 1.0, 200\n", "n_x = 201\n", "res = opt.fokker_planck_constant(mu, sigma_sq, init_sigma,\n", " -3.0, 3.0, n_x, T, n_t)\n", "xs = np.array(res['x_grid'])\n", "ts = np.array(res['time_grid'])\n", "density = np.array(res['density']).reshape(n_t + 1, n_x)\n", "p_final = density[-1]\n", "\n", "# ground truth gaussienne\n", "sig_eff = np.sqrt(sigma_sq * T + init_sigma ** 2)\n", "analytic = np.exp(-(xs - mu * T) ** 2 / (2 * sig_eff ** 2))\n", "analytic /= np.trapezoid(analytic, xs)\n", "\n", "err = float(np.max(np.abs(p_final - analytic)))\n", "mass = float(np.trapezoid(p_final, xs))\n", "print(f\"Erreur sup |p_num - p_ana| = {err:.3e}\")\n", "print(f\"Masse finale (≈ 1) = {mass:.4f}\")\n", "\n", "fig, axes = plt.subplots(1, 2, figsize=(12, 4))\n", "axes[0].plot(xs, density[0], ':', label='p(0, x)', alpha=0.6)\n", "axes[0].plot(xs, p_final, lw=2, label=f'p({T}, x) — schéma')\n", "axes[0].plot(xs, analytic, '--', lw=1.5, label='gaussienne analytique')\n", "axes[0].set_xlabel('x'); axes[0].set_ylabel('densité')\n", "axes[0].set_title(\"Coupes initiale / finale\")\n", "axes[0].legend()\n", "im = axes[1].imshow(density.T, aspect='auto', origin='lower',\n", " extent=[0, T, xs.min(), xs.max()],\n", " cmap='inferno')\n", "axes[1].set_xlabel('t'); axes[1].set_ylabel('x')\n", "axes[1].set_title(\"Évolution spatio-temporelle\")\n", "plt.colorbar(im, ax=axes[1], label='p(t, x)')\n", "fig.tight_layout(); plt.show()\n" ] }, { "cell_type": "markdown", "id": "ae66c1a1", "metadata": {}, "source": [ "**Résultat attendu.** Erreur sup faible et masse $\\approx 1$.\n", "\n", "**Lecture du graphique.** Gauche : pic initial fin (pointillé) qui\n", "s'étale en gaussienne décalée vers la droite (drift $\\mu T = 0.1$).\n", "Droite : carte chaleur de $p(t, x)$, qui s'élargit dans le temps.\n", "\n", "**Conclusion.** Le solveur Fokker–Planck est validé sur le cas\n", "gaussien.\n" ] }, { "cell_type": "markdown", "id": "d7b22c65", "metadata": {}, "source": [ "## Cellule 2 — Poisson 2D sur un carré (équation harmonique)\n", "\n", "**Théorème (Poisson Dirichlet).** Pour $f$ régulière et conditions\n", "nulles sur $\\partial\\Omega = [0,1]^2$, $-\\Delta u = f$ admet une\n", "unique solution dans $H^1_0$.\n", "\n", "**Équation pivot.** Si $f = 2\\pi^2 \\sin(\\pi x)\\sin(\\pi y)$ alors\n", "$$u(x, y) = \\sin(\\pi x)\\sin(\\pi y).$$\n", "\n", "**Démonstration.** Calcul direct : $-\\Delta u = 2\\pi^2 \\sin(\\pi x)\n", "\\sin(\\pi y) = f$. $\\square$\n", "\n", "**Ce que la cellule vérifie.** Le solveur SOR `poisson_2d_zero_boundary`\n", "résout l'équation et l'erreur tend vers zéro.\n" ] }, { "cell_type": "code", "execution_count": 3, "id": "576f1eb5", "metadata": { "execution": { "iopub.execute_input": "2026-05-12T14:05:22.235032Z", "iopub.status.busy": "2026-05-12T14:05:22.234767Z", "iopub.status.idle": "2026-05-12T14:05:22.746208Z", "shell.execute_reply": "2026-05-12T14:05:22.744955Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Itérations SOR : 290\n", "Résidu final : 9.737e-07\n", "Erreur sup : 4.896e-04\n" ] }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "nx_grid = 41\n", "xs = ys = np.linspace(0, 1, nx_grid)\n", "X, Y = np.meshgrid(xs, ys, indexing='ij')\n", "f = 2 * np.pi ** 2 * np.sin(np.pi * X) * np.sin(np.pi * Y)\n", "res = opt.poisson_2d_zero_boundary(\n", " f.flatten().tolist(), nx_grid, nx_grid,\n", " 0.0, 1.0, 0.0, 1.0,\n", ")\n", "u = np.array(res['u']).reshape(nx_grid, nx_grid)\n", "\n", "u_exact = np.sin(np.pi * X) * np.sin(np.pi * Y)\n", "err = float(np.max(np.abs(u - u_exact)))\n", "print(f\"Itérations SOR : {res['iterations']}\")\n", "print(f\"Résidu final : {res['residual']:.3e}\")\n", "print(f\"Erreur sup : {err:.3e}\")\n", "\n", "fig, axes = plt.subplots(1, 2, figsize=(11, 4))\n", "im0 = axes[0].imshow(u, origin='lower', extent=[0, 1, 0, 1], cmap='viridis')\n", "axes[0].set_title('u numérique'); plt.colorbar(im0, ax=axes[0])\n", "im1 = axes[1].imshow(u - u_exact, origin='lower',\n", " extent=[0, 1, 0, 1], cmap='RdBu_r')\n", "axes[1].set_title('erreur signée'); plt.colorbar(im1, ax=axes[1])\n", "fig.tight_layout(); plt.show()\n" ] }, { "cell_type": "markdown", "id": "ce3f9fdf", "metadata": {}, "source": [ "**Résultat attendu.** Erreur sup faible (< $10^{-2}$) ; résidu\n", "SOR petit.\n", "\n", "**Lecture du graphique.** Cloche centrée à hauteur $1$ ;\n", "carte d'erreur quasi nulle, symétrique autour de zéro.\n", "\n", "**Conclusion.** Le solveur elliptique est validé.\n" ] }, { "cell_type": "markdown", "id": "7d53c3c5", "metadata": {}, "source": [ "## Cellule 3 — Exemple concret : diffusion thermique sur une plaque\n", "\n", "**Modèle physique.** Plaque carrée $[0,1]^2$ chauffée par une source\n", "gaussienne au centre, conditions de Dirichlet nulles sur le bord.\n", "Équilibre régi par\n", "$$-\\Delta u = q(x, y),\\qquad u\\big|_{\\partial\\Omega} = 0.$$\n", "\n", "**Ce que la cellule vérifie.** Profil radial décroissant de température\n", "sous source ponctuelle.\n" ] }, { "cell_type": "code", "execution_count": 4, "id": "adc915d4", "metadata": { "execution": { "iopub.execute_input": "2026-05-12T14:05:22.749447Z", "iopub.status.busy": "2026-05-12T14:05:22.749181Z", "iopub.status.idle": "2026-05-12T14:05:23.199414Z", "shell.execute_reply": "2026-05-12T14:05:23.198332Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Température max au centre : 0.290\n", "Température max au bord : 0.00e+00\n", "Itérations SOR : 820\n" ] }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "nx_grid = 81\n", "xs = ys = np.linspace(0, 1, nx_grid)\n", "X, Y = np.meshgrid(xs, ys, indexing='ij')\n", "q = 50.0 * np.exp(-((X - 0.5) ** 2 + (Y - 0.5) ** 2) / (2 * 0.05 ** 2))\n", "res = opt.poisson_2d_zero_boundary(\n", " q.flatten().tolist(), nx_grid, nx_grid,\n", " 0.0, 1.0, 0.0, 1.0,\n", ")\n", "u = np.array(res['u']).reshape(nx_grid, nx_grid)\n", "\n", "print(f\"Température max au centre : {u.max():.3f}\")\n", "print(f\"Température max au bord : {u[0, :].max():.2e}\")\n", "print(f\"Itérations SOR : {res['iterations']}\")\n", "\n", "fig, ax = plt.subplots(figsize=(6, 5))\n", "im = ax.imshow(u, origin='lower', extent=[0, 1, 0, 1],\n", " cmap='inferno', interpolation='bilinear')\n", "ax.contour(X, Y, u, levels=8, colors='white', linewidths=0.5, alpha=0.6)\n", "ax.set_title(\"Plaque chauffée par une source ponctuelle (équilibre)\")\n", "ax.set_xlabel('x'); ax.set_ylabel('y')\n", "plt.colorbar(im, ax=ax, label='température')\n", "fig.tight_layout(); plt.show()\n" ] }, { "cell_type": "markdown", "id": "7419240e", "metadata": {}, "source": [ "**Résultat attendu.** Température décroissante du centre vers le\n", "bord (Dirichlet), profil radial visible.\n", "\n", "**Lecture du graphique.** Iso-températures (lignes blanches) circulaires\n", "autour de la source ; température nulle sur les bords.\n", "\n", "**Conclusion.** Le même solveur Poisson 2D résout des problèmes\n", "mathématiques académiques *et* des problèmes physiques concrets\n", "(transfert thermique, électrostatique).\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 }