From 8e9b3185b64f1e99d6d2769f2597bf67a916c8e3 Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?J=C3=A9rome=20Eertmans?= Date: Fri, 31 May 2024 18:03:44 +0200 Subject: [PATCH] pushing dirty work --- docs/source/GFlowNet.ipynb | 737 +++++++++++++++++++++---------- docs/source/NotGFlowNet.ipynb | 798 ++++++++++++++++++++++++++++++++++ docs/source/Untitled.ipynb | 131 ++++++ 3 files changed, 1445 insertions(+), 221 deletions(-) create mode 100644 docs/source/NotGFlowNet.ipynb create mode 100644 docs/source/Untitled.ipynb diff --git a/docs/source/GFlowNet.ipynb b/docs/source/GFlowNet.ipynb index 5315216..7a32b8a 100644 --- a/docs/source/GFlowNet.ipynb +++ b/docs/source/GFlowNet.ipynb @@ -12,10 +12,18 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 1, "id": "9f9311af", "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "An NVIDIA GPU may be present on this machine, but a CUDA-enabled jaxlib is not installed. Falling back to cpu.\n" + ] + } + ], "source": [ "from collections.abc import Iterator\n", "from typing import Any, Optional\n", @@ -29,6 +37,7 @@ "from jaxtyping import Array, Bool, Float, Int, PRNGKeyArray, Shaped, jaxtyped\n", "from tqdm.notebook import trange\n", "\n", + "from differt2d.logic import is_true\n", "from differt2d.geometry import ImagePath, Point, Wall\n", "from differt2d.scene import Scene" ] @@ -38,19 +47,28 @@ "id": "dd6fc26d-9540-4b37-8972-4e07a5b6de4b", "metadata": {}, "source": [ - "## Problem definition\n", + "## Motivation\n", "\n", - "The goal of our model is to generate all the paths, of a given order, between TX and RX in a 2D scene.\n", - "\n", - "Here, the" + "When performing " ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 2, "id": "ba065097-559e-49bf-ba45-e1b786af4f7b", "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "image/png": "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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "ax = plt.gca()\n", "scene = Scene.square_scene_with_obstacle()\n", @@ -59,10 +77,48 @@ "order = 2\n", "\n", "for _, _, path, _ in scene.all_valid_paths(\n", - " min_order=order, max_order=order, approx=False\n", + " order=order\n", "):\n", " path.plot(ax)\n", "\n", + "xlim = plt.xlim()\n", + "ylim = plt.ylim()\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "a065a44e-47ef-4fbe-a36e-dec46f6e8086", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": "iVBORw0KGgoAAAANSUhEUgAAAiMAAAGdCAYAAADAAnMpAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjguNCwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy8fJSN1AAAACXBIWXMAAA9hAAAPYQGoP6dpAAEAAElEQVR4nOydd3gc5dXFf7vqkq3iItmSe++9Y4NNN2BMM70TOgRiAoTeQgg1kIQEEkL/6DbVxhQX3HvvRW6SLMmyJKuX1e73x9Ewu9KutJLVmfM8ena1bWZnZ973vPeee67N5XK5sGDBggULFixYaCTYG3sHLFiwYMGCBQu/bVhkxIIFCxYsWLDQqLDIiAULFixYsGChUWGREQsWLFiwYMFCo8IiIxYsWLBgwYKFRoVFRixYsGDBggULjQqLjFiwYMGCBQsWGhUWGbFgwYIFCxYsNCoCG3sH/IHT6SQlJYXWrVtjs9kae3csWLBgwYIFC37A5XKRm5tLfHw8drvv+EezICMpKSl07ty5sXfDggULFixYsFALHD58mE6dOvl8vlmQkdatWwP6MpGRkY28NxYaDV9/DQsWQEgIzJwJHTo09h5Vj/R0ePZZCAqCv/4VAhv4klu4EL76Cnr2hN//vmG3DfD3v8O+fXDaadC2LXz2GXTuDH/8Y8PvywcfwNq1cPbZMHVq/W2nsBCeeAKKi+HWW2HAgPrblgULVSE1FT78EA4f1v+jRsHVV4O/GQaXC5Yu1dhbWgqhoXDJJfocPz8jJyeHzp07/zqP+0KzICNGaiYyMtIiI79lXHUVHD0Ku3bpAnv4YV0cTRlbt0JwsMhAmzYNv/2ePWHECBg6FBr62snJgWPH9Buddx4EBGhQS0uDkhJo165h92fgQNi8WQN0fR6LyEiRr59/hpUrYdy4+tuWBQve4HJp4fbllyIR0dFw5ZUwenTNP+vcc0U+3n0XEhO1oNizB66/vkbjb3USC0vAaqH5wG6Hm2/WhRUWppVnU0diom579myc7Q8aBHffDSef3PDbjoxUNOjuu/WbtW4NffvquXXrGn5/jN8gMVGDdX3i1FN1vu7YAUlJ9bstCxbckZUFf/ubSENpqUj4E0/UjogYiIuD+++HCy7QeZ2To0VWHaJZREYsWPgVrVvDffcpytDQKY/a4NAh3fbo0bj70VgICfFMU4waBTt3Kl1y1lkNuy8JCdqfoiI4cgTi4+tvW23bKiK1dq0iJNdfX3/bsmDBHSUlItzBwTBjBkya5H9apirY7UpvDhqkxaAhRi0thbKyE45SW5ERC80PsbGeRKSgoPH2pTo8+KDSSf36Nfy2V67UKqkxcPSo9+jDsGEaxA4d0msaEnY7dOum+/v21f/2zjhDt1u3asC2YKG+4H5+xcXBTTfBY48pIlrXFaidO3umWL/8Ep5+GnbvPqGPtciIheYLp1MXwuOPN96kWx0CAqBrV60kGhLHjsE774gI5ec37LaLiiTaffppyM72fK51axGznj0bh0QaESojfVaf6NYNfvc7+POfJWC2YKE+sGmTrvO9e83Hhg/Xoq2+UVys7R87Bq+8Al98UWvi3Qzi3BYs+EBZGWzbBrm58OabqtBoDqmbhoChyejdGyIiGnbby5apoiQyEqKiKj9/552N9zuNGaN0Ta9eDbO9E8nTW7BQFQoLpQtZvlz///hjw53XBkJCFIH5/HNV3fz0kyKBN94IXbrU6KOsyIiF5ougILjtNggPh/37dWE2JXz0Ebz/vvQJDY21a3U7alTDbtfphPnzdf/0072HiBuTMMbHiyDExDTsdl0uif4sWKgL7NqlyOPy5brGzjoLbrmlcfYlNBSuuUaLjMhIjXfPPQdz52o88BMWGbHQvNGunfKjNhv88gusWNHYeyS4XLB6taIEJSUNu+2MDDh4UMdk+PCG3fbGjQrZRkTA+PFVvzY/3/Q/aMlITVWq5sUX67+Kx0LLRmmpFl2vvAKZmRr//vhHuOiixo8KDxmiqp0RI0RCfvyxRgTcimlbaP4YNEg+Ft9+C//3f9Cpk0RWjYnUVIVRg4K0Pw0JI0XTt680Gg2Jn37S7eTJVesktm6F119XpOKxxxpk135Faqry3G3aNEwaJSZGE0dBgXxOhg6t/21aaJnYtMmMPJ58sgzIQkIad5/c0aqVIjSrV0svFx3tNyGxIiMWWgbOPVekpLQU3nij8asXDIFkt266KBsSBhlp6BTNvn363oGBIiNVoXt33SYlyQStIbF7N8yerRx3QyAkxPR5MciaBQu1wciRKtW9+26ZQDYlImLAZoOxY2s8/tSYjCxevJhp06YRHx+PzWbjq6++qvY9ixYtYsSIEYSEhNCrVy/efffdmm7WgoWqYbMpXRMfD+ef3/jVC0bpaEObneXmQkqKyliHDWvYbRskaOzY6h1OIyKgf3/P9zUUjN9k//4a5bRPCFOm6DfZswcOHGiYbVpo/khNhX//26w8s9lk5z5oUOPuV03g5zVWYzKSn5/P0KFDef311/16/f79+zn33HOZMmUKGzdu5N577+V3v/sdP/zwQ003bcFC1QgPV8h/7NjG3hMzMtLQZmetW8NLL8E99zR8imbGDPW/Ofts/15vrJwMsW1DoWNHie6Ki0XcGgLR0arkAZmgWbBQFQw79z//WTqsL79s7D2qParo1OuOGmtGpk6dytQaNJl644036N69Oy+//DIA/fv3Z+nSpfztb3/jrIZ2YHSD0ymdH2gOq2tfGAuNBbcTPycH29F0XD0buNytoIDgQ6qgKYnrAQ1s8wGh0LlfI2zXBt0G6q4/2+49jGDnh3AgmdJ9R3B16Five2fCTmBCd+w7d+DYlogzpmE0PbYJpxO0ZCWsXEfJWRc1Tq8iC00fmZkEfvQe9l07AXD2G4Bj8rn1dj27XGbgpV07v7lDnaPeBawrVqzg9NNP93jsrLPO4t577/X5nuLiYord+o7k1ENJXEaGjOostCy0JocxrGY/3bg38lWGnLSFO5a/zvbjNQtrRpDHJJawgvEcJ9qv97ThGGNZxW76cC1x2HDx+DvVRycCKWUKC1nDaLKpuuQ0wO7gzjNe54fNZ7HrSEVXVxfgP6u+bNwnpOXEsWj7FL/f4w1h5HMyi9nEMFKpCaEI5y76M4itfPvOOuZw3gntR00wjR6cyw5WvrOPd2movj2duZd+9GMnX/1vFfOox87BFpohnIxjJZfzKaEUUUIwX3AJizkZHmyY1XJaWsN4pXlDvZOR1NRU4irM+nFxceTk5FBYWEiYF2fK5557jqeeeqq+d81CC0MwxdzDa3QiiaP2dlw480s69U7h50ln0O/JHeSURPv9Wecwl1NZQBkB/MSZfr3nGj6gPztYxVie4Cla4x+JvphZTGEhY1nFn6m6suTGU97mtWvvZeXesYx/YqXHc2czj5GsYx5ns46qxWMDErbxyd1XkFvYina3ZVDiqL0QbiavMIPPeYcbeI0/1Oi9axnFILYygvUNSkaOlJOmDqQ22DYBvmY6P3M6W2lGOX8L9Y5W5PI0jzGQ7eynO4n04B1u4CiNxAwaAU2ytPehhx5i5syZv/6fk5ND5zou1QwPN++npTW8SaWFOobLReC772NfnwS4sB/7goDDKdALOnZNJfPNcyi6eKn/+cv/ZGDf4uK6S4JwnuLfLti2n0HQv3dwY8EC3ghfCW3bU/rks9W+L/gPS8ABkMSfXnNWuY8hK76EdBjXaxX5R5NxhSX8+lzQX9diS07ikSuLcVZj8RG4bz5shdZheWTvW4Oz7UT/vmRFFBUReuY3kFfK83eG8+xNNXx/wVDs66/COXQ4DzagxCXg50wCvgbnuHgevarhtgu/0YaJFnzCvmUTgR9/AJk52Lceo3TmzZRdcDFPpKdh3/YjZVNOr9fcSX6+mSVwnxcbGvVORjp06EBahdK9tLQ0IiMjvUZFAEJCQgip55Ild41IRIRFRpo9XECPBNixEUYFwUe7YT/QZzokfENA8AoiFv8Bzn3Nv887lgJBENQzHvw9N0YPhK3jYPFi2LYJhg4luCyn+sqSqafDvHkABB094Fv0WpoDGfN//Tc86xtod7v+SUuD9CQIsRM0flj1+5y96Ne7YTmLoEstycgn/wcFeRDZioBbriOkpo07I8LhrIZKk7hh+lkwZTyUlhLSUNd+cbE6qVoCNQugvk0vvCDNgM0GvbrCU48S0KOHWl188rYaSu7cCDfcAO3b1/suNeapWe9SlfHjxzN//nyPx3766SfGV+fOaMFCTWCzwTnnwB8uhLB/wzig7RhI7ACO8qVv1j9h0+fVf1ZJialutts1iVSFtDTTWbNHD5mvHTwI6en+NWS78ELTKXXnTt+vS5kHTjf/lKSvzftGeWz//tUza5cT0n9x2/+F1e+jNzid8PHHun/eeZpo169vHPv72iAyEtq2bbjtffCBGgi6NzSz8NvEDz9ovPryS3WvPvNMNbszFiJ2u7x6QkJkE/DMM7BkSYt28K0xGcnLy2Pjxo1s3LgRUOnuxo0bOXToEKAUy7XXXvvr62+77TYSExN54IEH2LlzJ//617/47LPP+MMfapZbtmDBKzIzTbJQdBS23gjOEjjjQrh4prxHrnkPSkeC3QmbfweF1ZhspaaaF/1LL1VNKDIy1CPitdfUrXbLFsU6XS75SVRFLtwxYIBut2/3/RqDfCScr9u0BYqWQM160WRvgZJMsJWbsWUsh7JqCJc3/PQTJCfL0+X222VT/eabv0Z5aoQlS3SsG6rUtqGRmSnCePhw0zSqstAwKC2VS/T996vTeJs2cMcdcPHFnt5INhucdJI6kvfurTHuww/hn/+E48cbb/9rCqfTb6O/GpORtWvXMnz4cIaXr+RmzpzJ8OHDefzxxwE4cuTIr8QEoHv37syZM4effvqJoUOH8vLLL/PWW281almvhRaCoiL4+98V6jyaBsuugILD0LoPjHsHLrtMdt92O1z0PZAAATmw7DJwOnx/bsUJsaoJctYscDhEPkJC5AkQESFfieJi9WeoCrt363X9+6uurlMn76sfZymkzNH9AQ9AZN/yx75XJCI5WU6v/hidGZGQDmdAaCyUFcGxVdW/ryL+9z/dTpokCf64cfp/9WqFoGuCzZtlCNYQBmgrV4o8rqrFd64tFizQwNyvX+O3KrDQODh4UJGxxYsVAZk8GebMgTPO8P2edu3gvvvk4RMYqDYKTz3VPKKPLpeus+++8+vlNdaMTJ48GVcVoSJv7qqTJ09mw4YNNd2UBQu+4XLBO+/oooyOhp1/hbT5EBgBk2ZDcIXW9a4QsD0M9geVotj4JxjxkvfP9peM7N6ttITNBpdeqtvdu/XcZZepaV9wsMiKtyZW2dnw8staEb38sgYqX0j/BUqPQ0h7aDsOEqZDzguKlmSVp2X69/dPgZa+SLdxUyAoEg59BmmLILYG2o2DBzUw2myKioCs73v3FqlYuFDpJ38xapQIydq1SvnUZ/J6xw5FoBrKkK6oSJEfqHrisdAy4XRqwbRxI0RFKT14110weLB/77fZ1AF7wAB4+22NF83Bl8JmU/O8Xbv8ernVm8ZC88Tcubq4AwPh/O5w+FU9PvZ/ED3Q87UOBzz/PCzaBAV367GdL8PCv3r/bIdDF3zv3vrfGxlxOuHTT3X/5JMhIUHpnaNH9didd2qwcbnUf8UbduzQbUJC9aF7I0XT6XywB0CnC8r3bS706KrJ3IhMVAWXE9IX637cFP1BzXUjXbsqLXPrrZ7W1Ian0OLF1Wtt3DF0qH7L1NT6T9U0tDvu0qUiJB06wMCB1b/eQstBWprGng0blLIdPFidbf0lIu6Ij4c//Unk36iuKS01F0BNAdnZnuPdqadKC+MHLDJioflh0yb45hvdv2AiJD+g+33/AF0vq/z6wEA10gNYeQwyy+8nPQ57f6n8+ksvhX/8Q6FR0ORYMRq4bJkuuvBw9cIBs/Fa+/ZauUyYAKedJuvx3NzK2zHIiNGjBURy3NKcQDmhMfQi03XbbiyExila0iYNbr7Zvw60WZugJAsCW0PMcIidrMczVihdUxMMGiTbeXcMGaKUTUEBLF/u/2eFhpoTdX3aw+fmSlgMZrO++oTTqRQNiKhZlTS/DTid8PnnEp4eOCAi8fTT0oe0alX7zw0M9KzO++YbRVU//rhm5L8+sHatUkhvvmnui82myLUfsMiIheaF1FSFKgEmjYeSP4MjVymG4c/7ft+ECWpWBrCrG6R1h4BSWHIx5KZXfr3NpoiF3a5VrbsGorAQvi4nB+edZw4uht6hb1/dXnKJ8sLvv6/cqXvDKJfLJCOGeLWkRPnhZ5/1FKllbZAWJiAcOpRHHmx2SJim+4e/8v29K8JI0cSeDPZAaU9CO4CzGDL81FDk5fl+zm4XAQP1YKlJIzpDfLtuXf1VDRhRkY4dG8ZUYcsWOHZM54g/kSsLzR/790uQ+tRTkJOjxcbjj2vRUpd+IS6XSoABFi1SHxt/qvfqGvn58NZb8N//ahESFqbHagiLjFhoXvjwQ5GDXr2g8xw4vh3C4uGkT8FeTafeGTOgTx8oKYWkcyC3FYQcg9lneZ80AwNNb2T31EFWli64uDiRDQO9eolYuE86YWF67+HD0pAYSEnRQBUcbKYLgoNNLwGDqIAZFel4JgS6efN0mg5bgS1f+j95G+mYuPL9ttnM+/6kagoKRDauvVbE0BvGj9dEHxmp7+gvhgzRMU9LkyC3PmAM1g3VTXnIELV7nzGj8TtJW6hfuFyqHLnoIqVk7HaJu++5B2KqbvNQKxhatXvv1eenp0ub8tVXSjU3BLZtE+las0bf97zz4MEHa9V3ySIjFpoXbrpJnhynOiD5C7AFwsTPIaxD9e8NCIBbbtGFklcKBy4Dhw2CNsI3t+g1q1fr4ppTXrkycaIusHbtzM+Jj1fe9+679Znu+zZrlm4NBAerwsXhkKdAUXkqxCAbvXt7iluNlI03MmLoRAyU9YfVgfBxChzxtIb3CmeZqRcx0jPu942oSVV47z0RjN27fQ84ISE6Pg8+6HeIFlCqZtgwpX+MFV9dY98+3TaUXsRm0/exoiItG3l58J//wBdfiIR37QoffaT0aX2n5ozIy9ixIkTffw/PPSdSX19wOFSi/Pe/K4obF6frfdo0zzGxBmiSdvAWLPhETAxc2B8WlKcCRvwN2k/w//2tW0sA9sILENIRwu+Ekn9C/tuw+iRIijKjFuC7+iEw0D9HxJdeUs7YbpdeYc4chXANPxEjRWOgf3/5dOzYoYEl/wBkb1JaJv5cz9du2g7hnaDNAcj4HuKrMRLM3iiNSVCk9CIGDBFrxgpwFHpGX9zhdEq0CjB9uoiWL9SEhLjjd7+r38E7PFxkqSHISFlZrQdmC80Is2ZJsF1UpOt85kxp1LxV0NUXwsPhxhtF5j/8UP5H9bn9gAB554BEqhdeWPV44AcsMmKh6cMoCx8+HAqSYdml4CqDbldBnztr/nldusDvf6/b4GD4aCPYl0LiHyDzPr0mPr7y+3buVPpg8uTKk8yuXUrJdOni+Xi3bhKk9umjaML8+QrdzpihFXNFVX3PngrnHz+usuWccqFu+4kQ6hadcbkkGIvoBj0OKHoy5Omqv3faovLPOlkVOQZa94awjlB4BI6tNMlJRXz7rVIzwcFa8fmD/Hx97+HDq38t1P8q8o47RKrqeztGyPyUU+q/VNlC46CoSCLVDz8005c33dS4PjIjRihdnJzs6S6cn3/iPU8cDhHskBCdz9deqzGqX8Xu4bWDlaax0LSRnCw/kTfegM0bYemlUJQO0UNgzH9qP8j36aO0gN0Ol8yBkAHgPA7B/wZbmQSOoEn/2DF5YHz8sSIDP/xQ+fP++lc46yyFR91haBNKS1UtUlamUG7HjlpRVIyuuJcU79gByT5SNCkpIgZRPaCrHbI3Q97+qr+zQUYqkg2bDWKneL7GGwwPoVNP9Uxb+UJODjz0kMLXx45V/3p3ZGbWn2263V7/5GDBAkXCDhywiEhLxI4dqo5ZulQpmSlTdK43BUO7yEjPCr1t21Reu3Rp7YXhSUka2z75xHwsKqrOiAhYZMRCU0Z+PvzrX6ZDadFbsi4PioJJsyCwDqohXC5YsgpWnwpl0RB+BHouMyMjTic8+ig88oiMviIiPEWrBvbs0W3FtIuRDjh8WKFMu10Tc1EVZbTGQLJzranx6DTd8zVG+euQkZBQblaW9I3vz3Q64KjhL+Jl/6sTsa5Zo8iQzabogj+IjFT5rHt5qz/Ytk0D+7vv1m1VTUlJ3X1WVcjPV+k3WCZnLQ0FBap4u/56eQq1bStr96efbro2/ytWaLz54AN4/fWaicqdTi2+nntOhGTz5pq9vwawyIiFpgmnU6ViGRlahZ/RCva+rucmfAite9XNdoqLVRaXXQKbpkIZkLATlpVHOAICpFM5cECTzPTplUtCU1LMlf9JJ3k+1769yjodDkVH/vhHRUjWrlWJsDcMHSoh2OggpaOiBkErN42Dy2WWEY8aZRKVpK98f8+sjepjExQN0UMrP2+IWI+tAkdB5eeNcuoRI8zIjT8wJuOlS31/34ro1UsRoqNHReLqCk89BY89Vv+makuWiPh06mSWeVto/tiwQc3t5s7VhNy1q9k7pinjxhtlMxAYqFLzJ5+Uc3R1OHpUmrfZszV+DR0qYXp1XchrCYuMWGia+PJLhUKDg+GKU2Dr7/X4oMcg4by6205oqFb6wcGwtwC+KK/KOfo8bC+vqDl6VBdjWJj0HhVhmJ3FxVVOX9hsZnQkMVHpmR9/1CrFl0lRXJx0BsXlpmEVoyLHj2swDAxU6ajx/NElUJzp/TONiEdsBb2Igda9ICxBTQYzVlR+/tln1cbcsH73FwMH6jsXFZnHqTqEhJhamroyQMvJEbE9erRWZYd+w+GQFT6IiFkpmuYPp1ME5N//1rXXqpXMzB59VONHU4fdrnPxkUeURsrPlzHZ228r0lMRLpcI9TPPqPosNBSuu07Xfj0REbDIiIWmiDVrzAZzV10EibdDWSF0PAsGPVH320tI0ERrs0FSPKyJBXsZrL4Ktq8xPS/69/duWmRMmH36eP98Qzeyb59SHS6X/EtWrfJtDlRWBEfKu99W1ItER2vF8sADGihadZeGxlVmNtOriF/70Uz2/ryH38iiys+3aaPtVYz8VAejrwZIvOuvCVpdG6AZJb0JCfU7gaxdK4O8qCj/OihbaNrYsUN27l9/bfp6fP21Ig3NDYad/Dnn6LusWuW9q3hhoZxdi4s1pj3+uEwj65lYW2TEQtOD0dvg7LOg6BXIS1TVyISPvK/q6wIjRoj9jxoFeedAShQEH4e/nAehIVULNo0yXV8VI0OGwOWXq9zP8A9JSlL401dHy8PzwJEPtrbQZmTl5wMDFSY2UFWqxumA9PJGbb4qZdyfS3fTjTgcNXNR9YaxY1VSnZXlf1feQYMUrcrIqGyPXxs0VD+an3/W7ZQpDVvaaaFu4XIpfXvzzdJchIUp3fGnP3mvtGsuCAxUqvmBByS4HzGi8mvCw+Gaa1TxN3OmZ1VOPcIiIxaaHi68UK6FPbZAyncQECrBakg9htdBds2DBoE9GHadBYUBMD4dIvZKiHnkSOVVekmJOVmO9+HzER+vyalTJ5OMTC8nD4sWeW8HfuhL3SbHeWotHA7vkQKDjBz5oXKPmcz1sswPjlEExRd+1Y2sFhECCd7OOksVQLVFUJBEv3a72UiwOoSEiMRB3aRqGsrs7KabVM57cg06IFtoWsjKUvuGjz/W+RIWZpqKtZS0W48ecooFyMjgWR7iFe41U8dDhjR4LyWLjFhoGigr87Qwjj4E257S/dH/hjZeGHxdwuXShXfTTdI4XHkbdHkEYoCpWyF6vy7UzAqaDKdTxOnss83J0xcMzYLdrtcPHWo21HInGC4nZJSnqTK6ebbg/u47iTBXr/b87JgRMkBz5EPqfM/nfu1Hc4rM03yhVQ8I7wzOUulGnE6RkKQkVRKdCE49VYr8c87x/z0jyyNCmzef2LYdDnP/65uMdOwIV1554p4OFhoeTif873+KkO7YIRJ9ww0qZ61PnVFj4ptvCL3kXC7gKyazqN4qZfyBFUe00DTwxReqnLj1VrBlwPIrARf0uhV6XF//2z94UDqMvn0lTHM4IHQKfLQS+BHGrYcu91SupAkN9bR/94XsbHmUpKcr/xoaqrzz1q0qZd261RRtHlsNRalAGGR31MA4fLhpdGYQGnfYbOrou+d1GaAluLm1/ipenVz1Ptpses2BD/SexZkiUKGh/puc+UJ4eM0b0w0apGNbHcmrDklJ+j0jIsxeQ3UNg8xaaJ5ITVXJ7vr1+h379dP/cXGNvWf1A8MDaMECcEIG7XmYv/CDP67S9QQrMmKh8bF8uS6KPXtgzw510i3JgrZjYORrDbMPKSkqvXU4lBZ5+GGtiE57B/KHAQWQ8zQE1VJMuXu3GlilpJg+IrGxZofbzz83I0OG7iPyZHAFmKmdw4dFRIKCKju3gpmqSf5G0RVQlOOoUe0zufr9dBexfvCB7p9xRt2q6FNSFAqvDsHBMGbMiQtOg4NVBVWfYfZPPlHnUm8pNwtNG1u2KA2zYYNI/qWXwl/+0nKJyKJF0q+Ve/+UnXYmU5nLMiY26m5ZkRELjYv9+9VwCVTOWvJvyNoAIe1g4hcQ0EBGQob3RHy81PL5+YpYbNsG6UNhWBKwBeZfCWfMNiMTr70mYjBxYtW9GXr0kO6krMyzIuWccySQS0vTIHH66WZjvD5XgH2loinHjpniz8GDvRssxZ6ivjNFaZCxCtqPh8x14MiD4DYQ7YXAVIQhYl2+Evb2Antgzct5q8K33yrVNHkyXHFF3X1uVYiPh6uvrr/Pz81V2bLDIb2IheaBwkL1lVmyRCR1zBg10pxQg15XzQ27dsGddyolFRUFjz5K6ZTzKPh3Y++YFRmx0JjIyZHNu2Go0zcZEt+VruGkTyGiAa2VDTISEGD6YVxzTblyPgS2nAr5Njj2Ncy9V88fOqT9v+su7/X67mjbVtGFgABPa/SwMLjgAn3/IUMgZxfk7AR7EHS7QL1tQBU7hpDT0FJURECw2UzPsJE3ynSr04sYiOgG4V1ggVNN88aMEYmqKxgGUcuX+y5rrogFC+DPfxZxbYr45Redw926ybDNQtPH7t2KDsybZ5af//e/LZuIgNLQp50msf1332kB2ERgkRELjQOHQxN5drZEf+cPgvXlxmZDn4MOpzbs/qSkmM6mLpdKfPv0kYCtY0fIDYb328mhNft12Pi5afndsaN/XWoNvxGjzNTASSfJeC021oyKxE6G4CjTXn7TJuk3fKVoDFQs8f3VX6SKkl532GzgGAWJQFmBVop1ib59VVVUUqJOp/4gMVEpKn/Lgt1RUCD3XHdxdF2itFQRLWjw6gMLtUBpqaIhr7yicvOMDJWvzpiha6ulweFQ3yx3Efwrr8jwzJ/+Ug0Ii4xYaBzMnq1yy7AwuOESWHuV9A2dLoT+9zfsvhQVScNw7JhSIkFBcPHFes5waG3bFjLbwVetwO6ETTfA8p/0Gn8sv//+d02mublmmakB9wks6WtwYpKKk09WFYrhbTBkSNU9MOKnKqqSswuyt9ZML2JgyFS4CBgW5Ltcubaw2UyL+IUL/SMJhnnY2rU1N0DbsUPH76WXavY+f7FqlX7TNm18R6wsNA2sWiVR6o8/6jy66CL49FPfZoXNHbt2yULgvff0vQ2/oCbqf2OREQuNg5NPVkThxuth7++hIAki+8L4dxt+dZmSogs1JUUX6plnepbyxcaqmiQ8ArZ3hA2tICgfDnwCuGDYsKo/v6REYeHcXH1+YqL3STVtL8xeDj8A8dP0WFSU9mXoUIkwqyMHQZFmB949/1apb0hbiBro58EA4k+HccCMo1Ca5//7/MWoUfpex4/75yEycKAIWFZWzVM1RhTK3SCuruBymSZnp57q3Z3XQuPD4VAju5tuUjTOWGBcd53Ow5YGpxP++U8JcRMTpWU799zq39fIsK4eC42DDh3kl+H8RGWkgREwabYm04ZGQIAmq8hIpVvOOqvyawYOLBeeBsDecVAQAEWFEJpcfZ55zx4NiJ07q7w0J8d7NcnhObAPONYO9hzzfK5nT4kwq0rRGOh8gW6Ty91dYyf7pxcBDWStukk74iozIyt1icBAmcAB/PRT9dGOoCCT8NU0VVOfzqvbtql6JjRUAmYLTQ/p6XD33TIwKytT2vOhh0TuWyIOHRIJef11LYJ69pSlwO23N3my3DTjNRZaJrKzNTgYYdGUr2H787o/7h2IGtA4+9W1q7xFcnNVOusrDXLGGQp9njENHH3A+S/omAfFvwCDfH++UZo7eLAiG/Hx3k2x8n6GwcDhbvJdGTRIE/Hhw6rwCQyE226r/vsknA9r7oCCcmfY6vxFDDgc5d2CR8PE8ZB/QJqT+LP9e39NcPLJaj52/LiM5KqznB45UmH2devkz+JP9Ky01DQ7M/Q6dYkePZTOczqVbrTQdOByKQryxRciIXFxIvM33tjkJ+VaY80ajQ8FBRorrrpKtu/N5PtaZMRCw6C0VF0vDx2SKLRvJKy4Xs/1uw+6zGjU3QMkaGvd2vfz8fHQpYuiGkFdIbM1DM2FfQ9Cz8kQ7SMVYpCR/v19txt35EPazzAUcAySsG7+fEVp5s+XWDYmRsexOqFdeALEjISs8iiCv+LVTz+V2DM9HS65FTI+Ng3T6hoREXDvvTqe/ggHBwxQBCIrS9EOf8jFoUOaiFq3rp/+GuHhSulZaFpIT4c//lGLCrtd191zzzVYj5VGw+DBiu7GxMALL3jvO9OE0Twok4XmDZdLXiIHDmgF2TkWllykfimxp8Cwvzbevh0+LJ8Pf4SRhoj0yBHV6t/4DAR1g9J8fZ+S45Xfk5NjNv7r18/3Zx/5UT1lorvDFeUVLHPnygp9+XJpTkpKYO9e/76XYZ9vD/I/4vThh7o9+2zoWR4NyVwHpfVkEd2zp/8VDEFBKjMePbpqPxd3uKdorCqXlg+XS20SnntOEbGkJLjsMpHelkpEFiwwReChoaqS+e67ZkdEwCIjFhoCixZpwrfZ4He/g30PQM4OCIuXn4i9kQJ0LpeU5jfeqHB7SUnVr2/fXt4jM2cqpbN9J7gmwb72kLsbvjyrcodbo6Suc2et0MvKlHJ59VWzKRWYJb2dpsO4cfKsKC6W94HNpiqaADc31uoQUO5a6iwzm95VhUWLRBYDy03OIrqoV42rDI4u82+btYXLZRK2qnDVVTp/OvvpP2OQkbpO0Rw/rpVnbap7LNQP0tPhH/9Qb5mCAmmSnn9ewuKWSERzcqSFufNOePZZ8/Hu3U/csbiRYJERC/WL3bsloILyXP88OPS5VuwTv4CwRrRcXrtWIsSAAE1w1a247XYJFXv0kAD3kksgIAz2nQTJdihbBd9U6OHSurXEl4YA025XpGPHDlPP4HRA8re632m6Bs/LLjNXeg6HKfjcvt2/75a9rfyOE1J/rP71//2vbsePlw8ImFqT+krVAOTlyYr7uedE8OoSZ56pDtD+iH5rgoULVZ69YEHLnOiaG2bNUrXI55/r95g2TeL4E+1p1FRh2LkblVzHvURkmyEsMmKh/nDsGLz5pqIFY8fCoADY+ICeG/E32ZU3FkpKNIjl54uI1KTa4rvvtCI5flxRjNBYWD4ccoH8d2D1O+Zr+/VTpMFwOrTZzG0ZfiNHl0FJpizb25dXZfTooXTJ4MHSVxileYcPVz9plxXDsRXm/0bUxRd27VJfDvAUyLr3qakvRERIe+FwyMnUH6SkqLFgdejeXcfQSK/VBYqLTbM2wy/FQuOguFg9pB59VKTWblcH7fPO0wKjpaGoSN/3jjukKYuMhBdflIlZC4BFRizUH1as0CDRpQtcfCosv1xh/27XQO87GnfffvxRYsiAAEUC/J2wMjOV2pkzRyvkq69WNU77EfBTVyhzwY47IbmKtvcVnVgNspBwnmfKqqxMaZOhQ5XzNiIWO3dWvY/HVkNZIQRH6//k7xR98YV//UtRmAEDPHPNRmQka513PUxdwN0EbdEiCXSrws6d8NRT8P77jZMiWbFCBLZdu5ZbHtocsHevvEMMb6CpU+H7780mlC0NmzeLZH35pc77ceM0BjUhO/cThUVGLNQfzj1XzdBuuQlWXgFF6RA9FMa80bjh7aws9aQARSDsdv/JyOHDsHKlJqRhwySsvP32co+SKbAwCgIL4cdz4cBulQpXhBEZSUxU1MiwbjdcV8G0pgeVtW7YoChLnz7V54SNSEbc6TI8K8ms2i/kuutkqHbTTZ6PR3SGVj3VAbg+/EYMjBghY7fcXJXvVoVevSSCPn68ajHvhg0qdazL1I/TqcomkPV7MymZbFEoKoKXX5ajbkaGjBPfe0/RgfDwxt67+oPTKV1MeLgiQe+80+Ts3E8U1tVkof5gs6k764E/w7GVEBQNk2ZBYCMPGrNmaQXeu7c5oXTs6N97o6JERBwO0+wsJgZuvRWCw2DSk+AIgZAk+HSaBo6FFTQXXbpoNZeXB/sWQ/5+sIdAB7cy0cxMDUChodKNvPGGJuH77qteA2H0o+lwGsSXr5yqStWMGAH/+Y86CFeEURZcn7oRu13Nu0B58KoiHoGBMHy47ldlgDZvHrz1VvVRpJpgyxZzQmjpDdWaIg4fVsPEDz/U9TFhgvRGzbByxC9kZ5v3hw3Td/36awm5WyAsMmKhbrFjhybOoiL9v/8D2PO67k/4EFrXg/lUTTF6tEyQzj9fqnTwPzKyb58my8BAkRADvXvDM8/AjfdCn7+DC+i8G2J3VNajBAaKkACs/li3Hc6AoFbma9q2VTXAww+bg+28ed6dW91RVgwZy3U/djJ0ukD3k76uXVrDSNUYBKe+MHGiiNeRIxIVVwWjB8y6dZWrl0BE81C54VtdOq/+VN6L6OSTq+4PZKFu4XCozP255xRpHDFCLqPXXdcyzeacTnkynXqq2YQRJJg3UrUtEBYZsVB3yMjQCnvDBvjhB8jaBKtv1XODHoeEJtIfYehQePJJRUPOOEPiWn/L4VavFpmIjIS0NM/nDC+D8bdA4JWQD/RdDq18pGrCwyFpkf53T9EYsNlEmkaOFNkpLVWDwdxcrdC94dgq+ZWEdlCvn45nqMw3fz9kb/F87fvvq6x5zRrf39cQsWZtgJJs3687Ubhbqm+uQm8DSleFh4tIekvVHDigAd3o61MXcLkUvenTx6xsslD/2LZN1TFvvCEN1bBhKou/5JLG3rP6QVISXH65GmsWFpreP78BWGTEQt2guFhCyIICVTGcPl5GYGWF0HEqDH6isffQMzJgt6vs9pJLNCH7iy1bpBNp00biOW/IyoLv7DA7SgPo0kugKMPzNeefD3+eqegJNkiYZj5XVOS54rfZtBK02RSmveUWpZq8wUinxE3W6wMjFHUBz1SN0wkffCBB5ty5vr9veAK07i3dSPoS36+rC5x+utJQV1xR9esCA6vuVePuL1JX2iSbTemh++5T/yIL9QuXS+PJFVeIXCYnSyx+221VuyQ3Z/zf/6nL7pYtOsevvVYk7DcCi4xYOHG4XPDuuxowIiPh1ltgzQ2QlwgR3ZWe8bdRW32hqEhVGAsWiCDUFllZGihiY32TEZtNaYJDcbAkGvIOwieTwOFWKRISYnqLtBvn6bfy9dfw4IMSyhro0kU58latlCrascN7isIQr7r3ozGiLsluZOSnn7QKMwS4VaGhUjUxMYo8+EMgRo3S7Y4dldNPRsl0fTTHs1D/yM6WgdnPPysa2KcPfPKJRNYt0dclI0MtMv78Zy3mEhIkyn3oIY01vxFYZMTCiWPePFi/XmWyt90GSf+ElLlKD0yaBSF1FCo/EXz/vfQICxaYk1dSkkSkNf2ct96S6ZkvMhIaWp7bDYSssbDBDsE74csKwjMjUhF/vvmYUUWTk1O5md4FF0hBX1gosnPggOfzZUWQUe4v4t6PJmEaYJO1e/5hPfa//+l20iQRq6rQECLWiigq0sDsC/36wV13SdTnPkG5XHXfqXfePEWP8v1wsrVwYliwQIuGbduk47rvPpWz+urp1BIwa5YWHjabTPqaqZ37ieK3Q7ss1A+2btVKHhRSDdsNq57U/6PfgDbDG23XfkVGhulWOGOGudp47TVN+g8/LK8QfzFxouzafVXg7N6tCMaoUSImO4dDu3XQ5XNY+neY+Hv5diycD5uR2ZnR9HfvXpWthoVV9kyIjFS59P79+twdFcSxGSvBWQxhHZVaMRAaC+0nyFwt+RsoOUWhYJut+qgIuOlGNkJJFgTHVPXqE8fixRqgJ0/W4OwNAQHeq4oyM6WpCQgwRcIngqIiEdCiIn3eoCq6M1uoPfLzlZJ4/31ppHr1UrTA3yq35oybb9Y4evHFOud/o7DIiIUTQ6tWEgoOGQLDE2DeKMAFvW6DHtc19t4JX3whRX7//qZFdH6+WUnToUPNPi88XKFjX+jTR5N8aSns2QO/AIuOwvRDkHg/dBoL7FffmOIoOOLWo8bQQAwb5j1Ee/rpSvF8/LHIyLluomD3FE3FcHbCdJGRpK/hi/JqlSFD/JtcwzpKDJuzS7qRTudX/54TQWSkJv/Fi1VuXF3lihHpstkkIv7rXyE11f8mfFVh2TLtS4cOMNBHV2YLJ4atW0VCjh9XNGTwYPj971umiyrA0qXySvnf/6Q9s9uVlvqNw0rTWDgxdOsGjzwCF58PSy7WyrntWBj5amPvmWBYnbuLQMFMsbRt63+Z5oUXwkUXKSVVFUJDRSZGj9Y2e/WCTqfDwmgIKIGF0+HAZxALtOqmtILLJQ2IQUYMTURFBASYk+K+fWYJNUC6IV71Uu1h6EYOLoRl5bbrN9xQ/Xc20BB9agwMGaLUUUGB+vhUhR9+kJeL0ZAQpD2pCyfOiiZnLVGv0JjIyVFbheefFxGJi1NJ6x/+0DKJSFGRxspbb5X/zTPPNPYeNSlYZMRCzeFyeZa1tm4NG+5WGD+kPUz6AgKagA+D02k26TvlFE8vkSNHdOtvGDgvT+mXHTv0fffuVSph7dqq3xcYqMFn+Ah4ci44wiEkTemSNkBUL026aWn6zJwcRV769fP9me3ba8I9cEBOlACOQqVpwFO8aiCyD0T2B5sDLhio1WdNeqs0lIgVPE3Q5s/3LtQ1cPSo0nBVGaDVFuvXq79Sq1ay37ZQd1iwQBbuCxaISJ56qprbdevW2HtWP1i/XiXKs2ebvboeeaSx96pJwSIjFmqO774Tqzf8Kfa+CfvfU8XMxE8hvIkY8+zbpwqf8HANBO4wIiP+mp2tWKFBpHVrlYzu26f+Nhs3er5u61b45hu5RRqIjNQKcMB4GPxfcNnAVgYhraHvGL0mMbH6FI07xo9XRCcxUSQpYwU4SyAsAVr38v6eTtMhGDjDLpJWEzvzX3Ujm6A40//31Rbjx+t3O3oUNm3y/TrDAG39egl7X39dGo+qCIw/cLlMk7PJk+sm5WNB6dLZs1U5kpmpFO+TT6pLdUs8xk4nvPCCDNqSknROP/KIqg9bmJ37icIiIxZqhg0bREZKS1Uim7EK1v1ezw39q/cUQWOhd2+F8K+7TqtbdxhkxN/IyOrV5me697KpWFGzapUaWPlK5Yy4Eo4PgoOAIw96lDew27dPwtgzz9REXB2mT5cYNyhIxCK1gr+INxipmiPfQ1lJ9dtwR1gHiOwHuCB9cc3eWxuEhCiaBab42Bv69tVvm5cnt8rNm9X990T7xiQmKvIUGGjuh4UTw+HD8Je/KLXWo4eiIXPnem9D0FLw5JPqI+NwKL365ZfyS7FQCRYZseA/UlJ0YYHC6MN6SCfiLIXOF0P/Pzbu/nlDp06mQZY7ahoZ2VLuXmpUcBgkJi3NXIW7XErjgG/Nwvbt8PU+WARkuaDsb0C2Jr/OnaWor0oc647zz9dK6/BhWPCNHvNFBp1OeOBNOBQFxTm1S7c0dInv5MnSDuzb573hIIh0GL1qFizQrdEV+UTQurV8XSZOVGTLQu3hdGrcuOoqRQdatVKk8PXX684ht6nittukS7vzTi0a6qLCq4XCIiMW/ENBgcRlxcVajV44HZZdDoXJWjGPe6fpCPwyMkxNiDe4XJrIp0zxLzLidJq242PK0ypt20JwsFY8hjV7crLKSoODfXtctM+D2AIoC4RFMVCQAf1+gt7da947pqBA+5+ZAQu2Qgne9SIA334LK1bCnAAoxewUXBM0pG4E5HR6/fXw7LPSyfiCIfY1etXUhb9IbKwiapdffuKf9VtGerp0TStWaOxo3x6eeMIkkC0NSUlKyxiIjxdJvusuq8tzNbBKey1UD6dTRl/p6ZqEb74Ztj6mFXJgK5g0G4KakEXzJ5/INOnqq+Gkkyo/b7Op2Zm/2LVLpcABAaaQ0WYTETh4UFGWDh3MqEifPr41HynfwhRgYQ8o6w8LvoUzsmDF32DoSEVU/B20VqxQ6fDxFChzwo420MrHRPzee7odMQlCvoakb2DU6zUjkLHl6YrszVB8DELa+v/e2sIgf1WhTx+ttjMylIevS+fVpkKwmxucTvWp2rxZ6dywMJVcn3JKy52UP/5YJbv5+aoMuq7c2iA4uHH3q5mghZ4VFuoUK1dqcjesw7N+hB0v6rlx70BUHZRR1hW2bTNTKr18CDlrirw8RYN691ZaxEBF3Uh1KRqQJXsocPsd0KYTHB8D84HtG+GJW2oWHTGIS2iBugQntpeIsyLWrtW+2Wxw69PqV1OYLEfWmiAsDqIG6H76LzV7b13AlyOr3a70Wbt2+n06dz6xbXzwgVa4FmqHgwelZ3rtNZHlPn3klDtlSsskIhkZ6m/19NMiIvHxMGBAY+9Vs0MLPDMs1DnGjVMZ3nXXQWQ+rLxej/f/I3RpQt0zy8rg8891/9RTtTrxhsRE/RUXe3++IkaPhq++kvjMHQYZOXpUgt7du/W/r4EoL1Gdc20BMPIapSA6DoF17SEHaLcSEmsgDu3ZUwSxLA36Afff5kmWDLz5pm5HjIABQ9S4EDwb5/mLX/1GFtX8vbVFQYGapj38sHeyBSZZHDDgxPp5LF4sU6p33ql52syCKuyuukraqMBAlY/PnGl2tG5pmDsXzjtPUUqbTS0b5szRmGGhRrDSNBaqh92ui6w0F34YoyqQ2Mkw9LnG3jNP/PKLtCKtWnk6k1bEl1+KONxww4n5R0yYoEEnOlrbDQoSGfClQzEm//aT1K9nVBtVbCxeDNlZ0NOhDr9x2yDSD1fYwEDo2RV2HoVoYMB0L9tMMhvu/e53uu00HQ5/Id3I0BoaL8VNgT3/atg+NWFhShEWFsoR9fTTK78mN1fH/0TEqw4HLCz/XpbJWc2Qn680xZo1EmlGRMjMzJt4vKXgqaeUEgaRraef1iLIQq1gRUYseEd+vvwASss7zbpcsPJGyNkpL4uTPgF7E+Ky+fkSaYLKXr1FCAzUpKy3qEjW4t7QqpXMx2w2RUlefhkeeMD3JGaQkU5upKF/f5X8RfSGiEAIyYTvzgOXnz4ZHcv02qMxENGtfDtJZoXPv/6lSbZ7d7PvRfw5is4c36poTU1g6EaOb4UiHxUudQ2bzSQgvkzQzjwTXn1Vx9Pwv6kp1q1Tx9ioKGtlWxPMmycd2Zo1WrhccYWiAy2ZiIDOEZvNLFG2iMgJwSIjFirDEJ/98IMpfNz5slbT9iA5rIb5SIE0Fr75RuH8Tp1UjukLubnSgBgC1OqwcKFy3RVN07zBbvdtZFR8DI4u0X13MrJhg1ZVA4bBllPBYQfnOtj+fPXbA2iTrNvsOKWpZs2SodQv5ZqOESPUBPAqt47BIW1MUlHTVE1oe4gq72fTEH4jBsaOVbltZqZvD5f9+6VT+OgjEbCawN3kbMqU31Tr9lqjuBj+7/8UEdm6VQuABx/UtdISj19JiSJzBs45R5GR11+3yr/rABYZsVAZs2apd0JIiC64tIWw8UE9N/I1aNcErbFjY9UT5tJLqxbJufek8UflbqyyY3x0ql2yRNGHbduq/pzk7xTBiB4CrbrrsbIyc2KdMAGKE2DeSFgNbH4UjvxU/f651koQGxqvCE7btppYv/1W0aJLLtHK9YorPN9nEKLalPgabqwNmaoJCjIjOz/95KnnMO737KlJoaBA529NsHu3/FqCg2tWafVbxdq1cmFevFjX3e9+p/9bqp37xo1K/d5xh2cfJKPxpoUThkVGLHhi5UrT8fKGGyDaCUsv00Ta/Vp1422KOO00lQ727Vv1607U7KwiEhOVOnjySTnT+oK3FE1WlnLrrVopmpOTA7vK4HBf2O2EX2ZAUhVW6KV5kLkWzgH+/oaiQiefrO/mnraCygTN2I+jS6Eow/c2vKGh/UYMnHKKVtwHDsgIzcD33+v4L1umSBDUvFeNcc5PmKDfxIJ3FBXBQw9JzL57t0j6H/6gLrsVXY5bAgw792uuUfrTMOGzUOewyIgFEwcPqqwRtAoYMgCWzIDioxA9FEb/u2mL+sLCqn9NTciI0ymyAUoTeEN8vEhFWprv0lNHIRz5Qfc7XWA+3q6dRG+PPaYy5LZtZQoVPRaWR0HacfjpXCjK9f65R5eBywGdukFMbz1mt6vPx8GD8Le/KXzuDRFd9Zu6nJAyp6qjUBm/6ka2QVF6zd57Imjd2rTKX+yWItq3TwJih8M0QNuwwf9Ujcslb5LoaLNBn4XKOHRIKZivvtK10b69SnaraurYnLFnj/RnFe3cW7J9fSPiN01GAnDQmpzG3o2mgZwcOaw6HAo9TpsG62fCsZUQFA0nz4bAKkShjQGHQ/na6lIk7jCcWf0hI9u3i2AEBvo23zLISH6+b3+RtPlQVgDhnSGmgvOkzaZJsFUrpZq6dIH4TtD+NPgpAMqSYdb53j/XiEwYaRMD/frJDXb3brjnHt8lqgYxqrFupB1El0eKGtpv5IwzlHIyNDAul0kYe/RQqiYqSpU3hu9LdbDZVLr+3HP6DSx4wumUfuz555Uui4gQCXn99aqF4s0Z//mPvFL27tV3vuMO2bl37drYe9Zi0QJVRn4gP5/Adz/mZbYQShFBf4mHcSNkUZyQ0LRX//WFjAwJ0uLiZOCz/wOVcGKDCf/n29mzMbFggRweDxyQZbg/GpDp07XC88cQbfly3XburLy4N4SEKHRtt6tixRsMXUbC+ea5lZurz3TvVHraaapeGjBAg+GmozB/CZyzCOY9BGdXKKU2vD5ip0hHsWKFSGRBgX5Lm02T65Yt3nPbnabD1qcUtXEUQqAfkSUDsVPkmZK2ELrM8P99J4q4OE//mNRUfd+gIKWp7HalahYuVKrGV3rNG1qiIdeJYudO+PBDszfQOefAhRdqnGzJ2LtX11D37vDii4qKWKhX/DbISH6+wuiGTXRYGLY9uwilCADbkRT4LkU5/3bttPoyxHK/FfToodbWZWVQtAvW3KrHBz8BCU0wLJmbq/JB0ODor+Vy79768wcbN+q2qoEoOVmRk4gIRZcq5s2dZZBcrt1w14t8+aUmy8suk04BPM+5O+6Av2TDjlRYswfGvAhbJ8Cg8qqe0lzILBfXxp0Cq1doX7ZvFzEJCIChQ1UxVOKjQ2/MMAjvAgWHIPVn6ORHxZCBuMmw++8Na35WES6XaTTXrZu+M8DIkSIjBw7oNVUtLlauFCkcMsQiI+5wuWT+9s9/amKeMEERqfHjW+5iLSfHrIp5+mlFKW+7rWVWBjVB1Orqe/311+nWrRuhoaGMHTuW1UZ7dR949dVX6du3L2FhYXTu3Jk//OEPFBUV1WqH/UZ2tlqK/+1v8Mc/KgVhhKvtdsouvZK/8idm8gqOa25QTXxQkBkhMGCEe8vK6nd/GwuGjwiIiMUEw+KLoKxIfhSDHmu8fasKX3+tiETXrqaOoK5x6qkiCFN8dMIFrRzDwyXkM/Qo7ji2SrqKoChTa+FwSNNQVOS7FDguThUKY2ZA935gL4O1V8OxA3r+6DJwlUFEd+k/jBTRihVmBdATT6jM19BRVITNBp3KU0DJNUzVxJ4M2CBnBxSm1ey9dYHNmzVhGKJhd7OzXr3g/vv1/auaOEtL4YsvNDZsqkIo/FtDdrZIyIcfKoU4fDjcd58ISUskIpmZigbPmGHqjEJD1dzOIiINhhof6U8//ZSZM2fyxhtvMHbsWF599VXOOussdu3aRayXfOtHH33En/70J95++20mTJjA7t27uf7667HZbLzyyit18iV+RUaGVpsbNshzwB2RkXD8uC4uwDl0OAfKn3KOGQdTxomEbNvmGW7fvBneflsTzpAhujAHDGgZzY8SEzUQX3+9Vv8uJyy/GvL3Ky0z4UOwNcHV4uHDWrWBIgv+DpCJiQo39+hRdRdYA5dcoj9fcDpNMtKunfxLKsJI0cSfAwHl58zOnUotREZWThdlZGgl2ru3Ugz9+0PenfDVIAjOgiWXw/nLzLLauHKi1LevVvaLF2uS7dvXv+hepwtg9z/VOG90GdgDqn8PqEle9BDI3iTtStfL/HtfXaGgQORv61Zdj+7N8Ww2/9Jwq1crwhYTY5VoGvjwQ2lB+vXTeX3hhUoftkQSAjIre/ppzQ02G/z4oyVQbSTUmIy88sor3Hzzzdxwww0AvPHGG8yZM4e3336bP/3pT5Vev3z5ck466SSuvPJKALp168YVV1zBqlWrTnDXMSMdxoWyaJFpXARaLQ0frj9fK1B3hISYpYEGioul4s/NVUh35UoRkUGD9LlDh+p9zQ3Z2fDGGwpNLlsmMrL1GUiZCwGhMGkWBPvw1mhMuFzw6ae6HT26ZvbfK1Zosp46Vfb2J4qSEtnJt2mjckdvqyhvJb1G2emIEZVTAx98ILJy1VUq0w0MhOh4GP8ZzDsPwlfBlicqi1dDQxVNSUlRysjoGAo6Vhs26LnzzvPcXuzJEigXH5VYub2XLseg8+X4cU8BX9xkkZG0RQ1PRkaNkh9OcLCilr469RpurRWPs7vJ2WmnmSme3yqys+Hee8EYl4uKpMPytwS+uaGgQGnpefP0f5s2IiVWNVWjoUZkpKSkhHXr1vHQQw/9+pjdbuf0009nxYoVXt8zYcIEPvzwQ1avXs2YMWNITExk7ty5XHPNNT63U1xcTLFbqiQnx63ixVDPb9wow6irrjIbk40YoVrwESNEEqKiavL1vOPkk+UBsW+fBvQNG0wXyPXrpTA3yIjT2Tzyzg6HmqcdP67B5rrrIHkubHlKz49+U3qCpohdu1RyFxQEF11Us/fWxAbeiLyMGuVbvBoaqsiMLxzfCbm75VobX96czuEwtSje0ic9eoiM7Nvnab6VFwNrJ0HpzxD6LASUE3DD8wOU4zYakrkfm6Qk/d42m9KRnTqZz9mDFLU5+JGIkzcy4nLJ2fTIETWr69JFj8dNgV2vQXoDmp8ZCAxUGi0nR9/Hm8fFp5/KnOvWWytHSrZv1/cJDa3asfe3gO3b4d13dW0Zfagef7x5LrL8wdKlIiLp5WXpU6bIo8hyUW1U1IiMZGRkUFZWRlyFbqhxcXHs9OF4eOWVV5KRkcHEiRNxuVw4HA5uu+02Hn74YZ/bee6553jqqacqP/HZZxKsHT9uPrZhg0lGevQQu69r2O2m8HHGDKUJNmyAY8d+TfsAyrOWlChiMmxY0+xU6XLJLjsxUWHYO+6A0mRYfhXggt53QI9rG3svfaNvX4nKjh/XasZfuFw18xj52980SN98s7qO1gaGDiPuVAgqH+iMFE1UlPeojvGYUa5qoEsXaDcIDqbC8q0w1gX2eIjobL7mlFO0sg0J8Qyrd+4s4rN2rSbomTMrPH9BORn5CoY9XzkkX1pqHrslS8yy2l91I7ug8AiE+UHy6hInn6wwe1KSJlJ3v4usLFVb2WzeU3JGVGTiRP/8aVoicnLkGWJYnE+cqGqsluxA63Qq4pOeroj3Qw8pFWWh0VHvy/hFixbxl7/8hX/961+sX7+e2bNnM2fOHJ55xne30Iceeojjx4//+nf48GE9sWyZJqHQUPk+3Hpr1Tn9+oDNpolh+nSJngwUFWmi2bNHpOnhh3XSz51rels0BSxerONos0kgGRMhwWppNrQdByP+1th7WDVsNpG9mlY75eSIBNhs0KGajrhOp6k58mV2VlKiCdAQvH34ocK87iLWw1/p1j1Fs3atbr2laMBMN6Sne2pQ2rcXMWo/HrYFw16gKBPyM83XdOum7zZ8uITX7rj4YkWTdu8WkXZHx7PBHgy5e9QIsSKCg+H223V/yxYzPRocY0bQ0hrYbwT0expdl93Ts2Cmwnr1qhwhTUqSKN1ocvZbRGIi3HSTIiKg6MCzz7ZsIgK65p5/XqL3776ziEgTQo0iI+3atSMgIIC0NE/1fFpaGh18DPCPPfYY11xzDb8rb18+ePBg8vPzueWWW3jkkUewexmQQ0JCCPEWIpwwQX99+zY9lXNoqCoXNm7UYL9nj/wsDh1S5cdJJ8G1jRxxOHDAbHl90UWKKK28Xnn/0FiY9LkpsmxqyM3VQFJbq26DJLRv7+nt4Q2bN2syDwry3b11zx74+9+V8nnySZXVGn/x8VCYqkoakL+IgalTtQ+DBnn/3PBwEYrUVE0Y7sLKAQPg4kvgxS9gaQlMK4JZU+HqFTr3zj9fbc29oU0bdbadM0cVJIMHm8chqLWiN0fmKVUT5cW8beBARVyyskTUDNIUOxmyNihV0+1yX0e07uFy6Tvn5ytys3WryveNqK1BRrylwkpKpH1p375pRi/rEw6HJuF585SWyMjQoq6iVq6lwOlUN+3cXC0WQNfU22837n5ZqIQaRUaCg4MZOXIk8+fP//Uxp9PJ/PnzGe+jvLKgoKAS4QgoF4u5fDlD+sJll2lQbGpExECbNlpp3XefjHKuuUaTTkCAZwOp7GxFT/bs8d4Ovb7QqZNI0ejR8lLZ+wbsf1/t5E/6FMI7Vf8ZjYUvvpBtesVVvb+oSYrG0D916eK7amr7dt0ak7LxucZ2kr8FXNBmNIS7GUTFxclqvyonR1+pGoBTxkD3bCgF5gNFq+HVi9Q59ZprNLn4wllnKa147JjZi8XAr43zKpT4ZmToPA0MNFvCu/d9+bVp3iLf260PHDmiaGR4uFKnv/+96Z567JiOnc3mfZLt0UPh+cZeHDQ0DI3d3LkicyedJGLSUomIYef+9tsaP4ySdwtNEjWe1WfOnMl1113HqFGjGDNmDK+++ir5+fm/Vtdce+21JCQk8NxzcoucNm0ar7zyCsOHD2fs2LHs3buXxx57jGnTpv1KSlokWrdWDnbiRK2y3QnZxo1qrjZ/vl43dKhC6/361S/RCgyEq68WAcpYCevu0ePD/lrZUrwp4cABVTGB7+651aEmNvAG4anK7MzQSBl6JeNzje14q6LxFz16KJXmrSFXxlKY6IKCtpARBzu3Q9bX0o+MO0dVYy6XUhEdOnhGgUJCFBF7+201lzv5ZDPSlHA+rLldFTXu+o9fflG546RJMhNbtUpk5JJLyh1ey3UjubuhIAXCG6j6wjg23btXrhAyOiH37u1blGiztVyBZkU4HFocffSR7g8eDH/6U8slIU4n/Pe/si0oLtY1cNNNOn8tNFnUeOa77LLLOHr0KI8//jipqakMGzaMefPm/SpqPXTokEck5NFHH8Vms/Hoo4+SnJxM+/btmTZtGs8++2zdfYumjooCuc6dlbPctEnhw6VL9RcaqoHiwgvrLnzsckmnMHKkSYiKj8LSS8BZCp0vgX731c226gNGKS/omNW2Rfl554n0+VPibbh6+hq8cnI02YPZJdg9MlKaJ0dTMMmIwwHvv68QsS+9iIFBgyTS9SZwTVukq/bac4CrYft9sGkrtD0Cl5dX7Dz7rETW995buV/OmDHSS4wZ45nyCo+HtmPg2GpFdXrdomNvREEGDhTxCg3V45mZOkeDo9VvJ2u9yo27Xen7e9Ul3PvRuMM436Hy71dcLAHuSSf9dkSrGRkq4f/sM5OIvPKKZ0VVS0JKiiLTRsVat27w0kuWnXszQK2W4XfddRd33XWX1+cWLVrkuYHAQJ544gmeeOKJ2myqZaJnT/2VlSmUaJQMHz+uwf9KtwE9JUUCvNpqJRYs0EC0ahXceadcO5ddDoUpENkfxr3dtA2NVq/WxBMScmLeINHRnpVPvpCRIe0B+C75NBqwde6syBaY5cJHj6pM2lks47io8kFw+3b9Brt3V79CM1wvvcHwF+kzFbqdCd9MgKId0LMMSl4E5zTt1+HD2mZFMmKzyeTOGzpNFxlJ+lpk5OBBpTxCQkSQgoJUEtm+vec5EzdFZCRtYcORESMyYpCR4mJFe9avVzoqMrLyyn/FCvj8c90+1kSdhesKTqd6K332mY7NwIGKbt12W/OwH6gNSkqUssvMVGr80ktVSNBU0/oWPGD9So2JgAClZvr1g8svlzAwOdmzE+YHHyhN0bevWTLsr3/Kzp3KlYImJZsNNj6kCS2wFUyaLfFiU0VxMcyerftTp/pHJk4UrVrBq6+KcPhK6VRM0YB+k/BwVXjs/UyPdbrAnLTdq2hqS/5KsiUWBVnLZ2TAkpVQ0gnij8DWlRB7P/S/UhORP11rc3P1nW027e+mRyB1vnrfGPs8ZIiZ7vHW1TZuMux8ueF0I0avKTDJSFCQyF5mpqIjd97p+R6XS2lRaPm+Ijk56tack6NIYO/eIqD+RAWbM4KD1T9n1iz5hviqhLPQJGGRkaYCm00Dq3vYubRUbN/p1MSyY4fyvj16mM6yvmzNMzLU+dXpVPnjqafCoS9gx0t6fty7ENXP+3ubCn78UWLftm3h9NNr/zlJSQrb9uxZOVJQEaGhWlmfdZb3510uU7zq/lk2m0LfecfhWHlayUjRlJaavU989YmpiPR0RYWCg1UFA5C+RJb9rfsorfK3Z3V+BLaG4D6w8CeIfA1Glxt8HT4sstHaB+FcuFA+E1dfLVFzZH9o1Qvy9kLKPFhbRUWK0ymyGBYG7SepbUDeXihIqn8htJGiiYszI4Z2u9wzP/9c4tyTTvIkfZs365iGh5uNCVsi1q9XmXlRkRYxv/udzuWWGg35/ntFPs44Q//fcYe+sy+jQgtNFi30DG0hCApSOPmZZ+QTYRCVxESx/1mzPF9vVCcVF0u8lZ+vqo2rr5Z/xEqJjOl/P3S5uOG+R21h+IJcckn15bhVYedO+PZbiTHrAnfeKSFoRVfPmTPhtilQdly9W9qVT3rbt2tyiInx7HtUFTIyKu9zxX40YWGajG+/HQZNgfBh8DOw8V6ILXcw9mFGCEhYXVSk86ikpJxQlROoXR+pjDckpHK+feVKeOABlawDBEdBTHlKpCGiI3FxKmOu6InRv78iJvv3q8eUOwwfkkmTWqZwNSND48Sbb+q6HzhQWqupU1smESkogD/8QdfcY48pIgb6rhYRaZawIiPNAbGxWh2feaYiBYaXibv2IC1NDrBDh0qXcPiw8ua33w4UwpILwZGniWzoXxrpi9QQl10mV9EKjr81hr9lvQ6HJtlhw5Rv9jaoGaZ3hiV6xeeMKpqEaWAvv7zcBZX+pmi6d9drMzLM1uaGXsSwgJ8509QAFBbCnzNg3X5YfhxGfw5pFyma5ssr5YwzJJw+dkxRqPPOExnZ+TJk/Ay2y3U+VSSCERGKuKxfr+NktytVk7lW+9j9av++Y20RG6vy6IrYutVM4fz0k+nlcvCgtFl2e8s0OfvuOxGRvDylAS+5RMenpWolli2TdslI1Q0f3nK/628ILZAyt3BER8t99A9/8JxkNm5UGPrrr5XKWbMGEhJknrXsBll2h3eCkz4xJ8nmgA4dTlxg629Z78aNCvu+/HLtBjeXy42MnECKBhT1MESxiYlQkgVZG/W/exl2eLhIU0yMQtQ9psHeINhfAF3mwratZsSsIoKCFHEDmWBlZSmaE9IOyINbT/GerurfX/t3/LgpJI0tj9YY0ZvGwNq1+o3j4hQRMiqejKjI6NENoztqKBQXw7/+BfffL8Lapo0MzKZPb5mTc0mJeubccouISKtW8Je/KAps9ZVp9rDISEvBKafoIj3lFAm3unXTgPzEDfDCbMgKhIlfyGm1KcPlUt6/gsvvCX2ev5ERw8ukWzfvg3lZmQTFq1bpfkWkrYH8A+AMgHaT9VhWlghV27Y1L0t2Nz9LXwy4ILIfbNwvYXJFw7yePeH6m6H9qbAGCM6E/nuq3saIERI4lpYqXWMPUFQHoGyN9xLQwECz2sco/Y2dKPO8vETIP1Sz71kTZGUpIuPenwpUxXTokMiZ0Xn1p5/0+wcEKCpi6ApaAhIT5UC7aZNI6+mny123pYpzs7PVN+fzz3Xejxyp72vZubcYWGSkpSA0VBfo736nvPEzz8DAGMhfBWXAlFehXbm6fO1aRU6Kihpzj71j+XIJEJ9/XhPkiSI7W9/TbvdeCeIOI4Lhy5Ng/36lNT791Hse/uj3us1MgIxc3Y+NVXnh44/XPMLjrhEytBixk9XE77HH4NFHK7/n5JNh+tUQMxqCgKCvYNVbvrdhsykdZrPpnNi3z7SvT/7ad1TFSBGuW6fJISgS2pQ/Vp+6kc2bdX6/847n4wYp6ttXk9bkyUpV2Gxwww06nzp3rvRxzQ4Oh86lZ55RJDQ6WunZf/yjZUcHIiNVDRQWplTq++9Xfz1baFZogbG83yCKimRsdP75msACA6F7FCS8DVcAUTOg/x3m67/7TqmLwECF3IcPV/mmr6qLhkJRkao7AM4++8REqwaMqEhcXPWh6127dOvLB8QolTXKpCsi6RvdHuum7bpPfrUR1Rlk5MABSFmi+1k9Ycsibd/dj8Ydl18u/cd3F4DtF9j1e+g1Cdr5qJ7q3FnVJ8uXS1+xYj10C4b8g5C9GWKGVn5Pv36KQuTkwN690KePiNKx1dKN1FfnZ6OSpqIhnKHLGTVKEaiKUaiWMFGnpMg9d80aRYZuukmlrO5WAC0JiYlKxcTGivz/7W/SBPkrArfQrGBFRpo7XC6tEnfsgP/9T+mDsmJYOkNOq22HwdT3zMmzrEwCzbg4rbK2bNEq4/77pZVYvrzxvsvcuZrcYmPrTmho6EUM/YUvpKcr1A+quPAGdzJSEfmHZPzlssGxrtpuZmbl7rk1gVG66iqBpM16bNZW3Q4Z4rvZXmCgVswXfQ35cSJ5q6+CsioiYRdcAE88oeqrQ2mQVZ6eSfrK9zYq9qppiD413pxX09Ml2LbbPc3idu6UZqq5w+EQSTecdfv1k2bspptaJhFxOuGtt1SxNnOmmY6MjbWISAuGFRlp7pg7V8LLwEClaAICYPVd6hgbHCNjs0A36+uAAE0806droN6wQTn4w4dVhdOunenD4HJpgm6IcOjRo6Yp1YwZdSfAO/VUTdrVNWVcUh55aN/e+/ctLFSaBryTESMqEjwQSsO0ip01S7/NVVfVztvCZlOKJ38xLPsvlPWBleV9V8p7QVWJ0NawdCykzIGh66Ht3TD2v95f27q1/gzr/danAIkS5A724Z48YYLeM2aM/m9frhvJ36+oSkQVzQBrg9xcEQ/wnJSSkhRF69PH9B1xOCRuPHBA6SzDq6W5Ydcu2ZsfOSJ9z9Chaojor/Fhc0NKCvzxj2Z/qGPHtEBpScJjC15hkZHmjE2b4JvySfCqqzRAJ76rbrzYYML/QSsfKwmbTdGCjh3hnHN00W/Y4DnIHzqkAT0+XqvgESMkaKwP+/gvvtAE0r+/+mfUFex2CUirg+FLYfSaqYjdu7VCi4313jcoubyKJnYqcFzHLj9f3ykhofLr/UW7dnCg3GtkSZScUTt18k+MabdDXF/YtAE2HIa2b0FhAkx+0vvrjV40eXngmgC29+T4mn8IIryUMvfurT8DQa2hzSgR4bRF0OO6mn7bqmFERTp29IwIjBghnU9urvnYxx8rnRER0TxFnYaQ+9lyY7vgYP3mM2Y07fYNJ4LPPoMXXtB1Y7dLy2TZuf9mYP3KzRWpqcofA0yZolVq5gZ1XgUY/CTET/X/87y5nCYlaVBISdHf3Ll6neH+2qNH3Rgq7d6tCILdLt+KxhhsH39cK86SEu/PV5WiKck2UxO9rwDekK9FTIxSLd48SWqC9EVQBKzKBIKkFfH3uE+bJoJRVAa/pEDrp6HdCBh0fuXX7t2rdgSbN0tjcdoYKFmp6Ejfu/3bXtyUcjKysP7ISMXmeCAjM8PMzOmE//s/3Z86tfmlMnJyVLW1YYMm4s6dlUL1RZSbO7KzJUo1opMdOlh27r9BWGSkOaKwUP4CRUVamc6YAcWZsORi6QLiz4VBXiotaoqTThLp2LJFA+PWrYqg/Pyz/u67T6HxE0WPHsoPFxRUX35bE2Rnq7dNly7+2clXlY/OytKtNzKSMhdcDtmpdxwm8WRurvQ5NTE684bCo/DNZtgHRMVCiVNRMH/Rv7+O79YCKCqE+VkQdDV03Axtu3m+dt06RRIGDdKEviUe+lI1GXE65TC7ZYtWsrGTYftfTYO2uoQ38WpRUWVx8KJFEuIGBsp3ozlh1ixVbBUUiFw98oiE6S05OuBwiADbbKqAeuqp5kcgLZwwWvAZ3oJhs2nSLinRYGu3wfKrlKtv1QMmfKBeIXWB8HCtUMaO1fa2bVMUIzHR0w79m2/kFjp8uELmwcH+byMw0HcvmBNBUpI8QQ4dOrHeNiAn25wc71UxhtFZp+n6bWbOFFErLa2Z0Zk3ZCyBY0BgDDz3d2laanJs27VTaqlfPyjrDodmw/JcCDoTrt0GgeUVS06nyIjNBjffrJD54SCIRBU5JdkQHF35810uRejy8/Xb9zwJbIHSjOQdgFbdTuz7u+O661R67B4heOEFs3zX8ER5q7yUefx47z4pTREFBfDJJ/Df/8q8bPx4facTSfE1ZRQV6Ty223WOPvOMHm9JXjAWagSLjDRHhIaKhBw/LgHh5ifgyDwICJNgNTimfrYbHGymaFwuc8XvcqkKJytLk39QkFbXw4dL/+FrlVNSIiJSX70z/DU7e+st0w792ipKUr2Vh5YVQ0q5v0inC3S7ZYuISPv2J+5tkbYQYoGyeAloa0NuBgwQURwyCpwFcPgbOLgHZl8Bl5Z3dS4tVapvxw55laSlKcKwoT3EHVX0p5uXUuKAAP3OS5eqvLZfP2g7GjJWaN9b+SG09Rft2nl2nk1NVVopIEATOGj/N27U/dtvr7tt1ye2b1dFW1aWiFaXLvCnP7XcaMiKFfDQQ0rJ3lFuOWCRkN88rNLe5oS0NLMqxGaTwjz5O9j6tB4b8x/vnhD1gYqph5tvVvShbVtNbBs2aMV8333w3nveP+Orr7Qi2ru3fvbRXxv4ZctEIPb4cCut6HTqjrSF4MiFsI6ahEERBpdLROxE9S9piyAVCGhnpilqCiO1VFICv38YJl0KvQHHLFjyqp4LCZGbpSEYnDZNJLIoAXbju8QXTIK0YUO5yHey/q+PVI07jJLi/v1Nwvvdd9r/gQM9y3ybIvLy4Pe/h7vvFhGJjZV26emnWyYRcTjgySdV9ZeWJpGxw9HYe2WhiaAFnvEtFMnJcpEcMkTh6qAgyN0Hy6/R873vrP8GZb5gsymP37OnmnQlJalceONGRSfcUxtOp1bcHTqohb3T6Vs0eqLwNzJikBBvUQeXS3n7uDi4/vrKJYbujfGM1NiECYq0LF8uHUVtUXQUNmyF5UDJFojqpcG7phPVwIGa4GJj9VuN+QQ+zgHX93DwTzBkKkRVEEe2aiVC8t4BWLcRes+F8cUQ4KXjbd++0prk5akUNW4KbH9ORM09gnYimD/f1OAY1UzuRmcGLr1U0cKmTkSWL1f04+hRHZ+LL5ZvSEvsKAzSm913n1KmoAqo2vaAstAiYZ0JzQH5+RKsFhdrwA8IAEeBBKul2dBuPIx4pbH3UrDZlJro3FleJmlpngPOnj3ysti6VSRk9GhVndTVpGXA5fLP8CwlRaJckGC3IpKSZF6Wn68J2mMbTkguL602UjQgAWu7dsqLFxfXfoJJ/wXmA4HBEB2r3/3QIe/VJFUhJKRy5+NLZsPnI2DDDgicBn3fh8GjPH+rU07RhF+8GGyZIhfxZ1f+fLtdk8uSJYpWXH4h2IOg4LCpYzpRzJ+v36lzZ5GRI0f02wUEyHvDQNeu6mTcVFFWpp4qn3+u7xMZqWjU9OmNvWf1A6cTXn0V3n1XEdPQULjrLulh6is9a6FZwjobmjqcTonaMjI0wd18sybt1bdC9iY1vpv4OQTUQNTYkIiL8/TlsNk0AGdlSbSXl6fQ7RNPwJdfmsTgRJGZKSIQEFC1advSpeZ+uusRDBglvb17V17FZa6DwhQIbAVxbo6xhoEYnJgD6ObvYC8QGGGadtU2VWPASPMFhULuzbAlDObsgYVXwmefer42IEDOvGddqpHCn1TN+vVgC4W25UZoddHFNydH54XNZlY8GSmagQOVonE4JK6uztyuMbFvn0pW58zRPs+YofstlYiAfqe33hIR6ddP1W033WQREQuVYJ0RTR1ffqkJMThYgryICNjzLzjwodwuT/oMwpuR4r5nT7NC54or5N4ZGKgIyrx5IicGCgqq1mtUBSP8HRenSdUXjEnNV4myQUYGDKj8nDE5dzxb6YuiIjUtW7rUjEQYqaLa4P054EQT8DnnKN1U2yhLTo4azD31lDlhn3cpdD4bkoGD+6H0u8rvs9lUJQRw6GtFg7yhTx8RsFatyvUPk/V4XVjD79un2/h4M+VnpGiMPkIffijthVGV0ZTgcsEPPyiFtG2bruGbbxYJ90aAWxJGj1bq9tZbVbZs2blb8AErTdOUsWaNtAcgvUKnTnB0Oay7V48NewHiTmmsvasdFi1StKBtW+WQw8I0iW/dKr2Bu0HY55/Lf2DoUKUB+vXzP8fcr586mbq7cnqD4bzqTWNQWmrqSbxawLuV9IL2dcsWWZb36ydhbm3JSEYirMnQ/etuVmTkRMqfw8PN1FhKikpGExLgnKvgmV9gaybEfArrp8GIClUzcVMgKRyWp0KHz2Di5ZU/326X+LJ1axEYx2TY9qxErCeagqvoL+JySWy7bp3ODadTZMRIyzUlHDumFMXu3UohBQcrCthS7dxTU6WFmTlT+jaQXslC04HTqUh7cjKkpBC4P4UnSGYRk4HJek1Bgcaxjh0bTMdkkZGmioICDbAgF8mRI6EwTQ3wXA7ocin0+0Pj7mNtsHu3bqdPFxEBrXZHjfIUIrpcWhHn5anaZdkyvW7wYBGHQYOqv0iCgsyST29wOvUZQUHydaiIfftESKKiKutOcvfC8W2KTiWcq8eMKMvIkabQtbZk5PVnoASICoerfnfieprAQKWatm1TtMfwrygqgtgRkLsaludA5O8gYaRs5A0EhEDxEMhdCR++DuNneI82uZc+t5tQrhtJgrx90LpX5df7CyMyYmhlbDaREEMr8v33GliDgpqOXsRIry5erGhRSIia2510UstNUXzxhUT2eXkiJN9913K/a3OAy6Xz0LhWd+/WAu/IEY1r5bCXQkcgA7co3c6diqSConcJCYpMGrf+dEGvISwy0lQRHi6h17JlcmB0OmDZZdIoRPaHsf9rnj0qbrtNE6K3tIc7bDaFsXfvVsnoxo1yVF2zRn+dO6sB2onAblfo2PA7qQh3C/iKx9qIisSeIl8XI7oDIlUFBbpf29X6nvJGYWeO8Nw3h0P7WxuHygEDdOy3b1cZttMpjUe37hAzBFb9CxYVQuiZcNMOCHHbxiW3wIqVcHCrJtgpU3xvp7RU9vNtx8LRpUrV1JaMOBxyUwXfwt133tHtKac0TFPH6pCUpGZvmzYpEnLJJTrv27dv7D2rH3izc3/iCYuINCRyc822HeURD5KTde4ZXcgDA81qpqAgkYr4eMraxPP3dxLYg1ufqaIiLS5ychRFycjQ+Wzg1lsVrQal2I1oa7t2tf7dLTLSlOHeiGz9A6quCGwtY7OgVlW/t6nCZlNUwx/Y7Up39OsHl1+uDqwbNujPvZleaSm88YYeGzZMkYxXXtHgP2OGGYHxBV+Opp06SSDprXFfxRTNpk2aODt00EVeUKD3xsfXLk1xeQkMB6beYT7288/yZjn5ZOkPagoj1bRnj/Z1716tYlu3hseegoezYOd7UHQIZl8MV3xvvrfnhTDqZliWDV+8L62P0SHXHcuXy0l01CgYNqWcjCyEXr+r+f6C2aU3IkJE48gRWL1an5+QYKbGbLamERXZsEEi1c2bNfhfeik8+GDLLWH96ScRj6wsy869IVBUpGvXqOw7fBhee813Oto9MpuQIN1hfLwHaSjLh+0V3zdhgv5yc3XNuRMcg3gY2LBB2kYQyenY0TOK4ucCoYVeIc0Y8+Yp1+rujXHwM9j5su6Pfxei+jXKrtUaLhf88osmsNoOUkYlRffu0guUlZnPbd+uqMTWrTJSio1VyiQuDq6uwnvFW18Td4werb9K78uAjGW6b5ARI0UzapT2NSJChla1QWEq5OyAjjbo6aYTiYwU8TLSFjVFfLy52klMlEYHtMJp1Qoe/gus6gH5j4FrHsx/Bk57TK8JjoZJp8D2BXB0p+z/r7ii8jbatVMV04YNcOo5euxEdCPx8RpsMzLKq8hWq2FjcrLcO//9b71uyBCRv8ZCYaFI2MqVIsODB6sSydv501Lw3XeKiLhcKs9/6inLSbWuUFpqOgy7k4DMTGnHLrpIr4uOFmGw2XTtuZOAhARPIhASosVaTWBUBroL/CtWrIWHSw+VkqL9PnTIjMAA3HuvX5uyyEhTwvLlYpjffw9//rNOguPbYdWNen7Ag9D5osbdx9pg82aRhHnzVO0QFHRin2ezea40u3ZVOHLDBk3UO3bIOv3oUR3HK6/07KNj4LTTFBX5299qdpGmfKeqkphhENFVE5EhhDWqO2qLXbvg0Le6HzMUQtw0L0aa4vBhXfQ1PY42m6Ijq1bpGE2frsnSOJYdOsD0R+HzzVD6OaQ8C9kXQHR5ZKjLhTBuASw8oFTNKadUNpTr1cstvBsD9mClFnP3QmRvaoXAQO2by+VJ+nJyzNDxTTfV7rPrAhs2KC3Tvbv2depUtRZoqdEQA2efLZF4167qEVTRENBC9SgrM6N/hi4tO1uaG19l6tnZ5v3WreVT06FDwxnmVVxUnHyy/gxhrHu66MiRyh5HPtDCr5ZmhP37zbbnZ5yhk6w0B5ZcBI58+VgM+XPj7mNt4HBINAUwbtyJExFviI7WMTvjDPXr+c9/dDEEB+uCMDw/QIy9tFQTRWamLqxu3Sp/ZmKixK/eBlijpDehPCqSm6tJOCen8uScn68IjLvXSlV47jn45WsYB/yxgi6jbVtzoj940DvBqg4DB4qkGfvjzZ32wv+Dt/fDt2uhaBpct1GRkU7nQ/zd0CENSvNFDCq+3zBAW7QINm2DhHGQvhjSF9aejBhITjZN9IYM0eD34IPaj9NOO7HPrg1KS7V4mD9f+5KTo9/PvatwS4LDAa+/Lr1AaKh+h1mzKpsBWqgMl0uVVe5RjpQURT8cDonyjTRjVJSIRUBAZeFofHzl6HLXrg3/fbzBblckJjbWc3GXk+PX2y0y0hSQkyPNg8OhCoFzz9XJu/IGyNkF4Z3gpE/A3gx/rgULNPlFRWklVd+IilK4cvBghTO7dfNk5t9/L9FmcrKOe6dOnmQFdOzfekuDx8yZnl1iHQVwpLzc2kjRxMaqUqJin43ly9WXZ9AgeWBUh/37Jc51FEBfIG6y5/M2m6Ij3rom+wujA3NV/i2BQVB6BZTshG8OQtxlcN5ciOgCMcNhzAbo0humTvP+/lGjypvsbYDBJ4uMpC2CXrfUbF+zs7Xy7t1btvpGVGTwYDO9Nn1645iGLV0K335rrlKvv17pQ2/NFFsCtm5V9OfgQU2izz+vxy0i4gmXS+NKSoqiHoY+zuWStsZbLx6DeBiw2eAvfxHpaI5FCrVEM5zdWhgcDhGR7GyF6W68USfg9hfg8GyFuSfOgtBmqMTPyZHDJGigrkqfUZcwRFvdu1f2D4mI0H4cPiyRaW6uBlnDy2TIEIUajx3TAFExapL6M5QVQngXpWncUTEsb1RP+Fve+69/QVkJtC+BPjaIPbnya3r2NMlIbVFWpkqkHj2UwvImRL3pDji0E9b+Dz7+EYqvgxkfioBlbYCIdb4/v2dPkcLjxyGn3GuiNn1qEhNVmWK8x93o7MgRRa4aupdLSYlSjbNn6zuedJKISGPqVeoTTif8/e9qemnYufsyCPwtYt8+LWyMv5QURUNBCx2DjNjt8lAqKfGMciQk6DyueF14uyZbOCwy0tj49FOd0GFhUjqHhkLqfNj0kJ4f+XdoN6Zx97G2+OorpSi6dVOKpiHg3pPGWwri6qtVmTNlilYenTqJlKxYoZDpkCFmSW/XrpUnO/cqGptN7wkP974iNrafmVm9WDY7W9UyjgKYhCIQwdGVX2foRvbtq70odOdO5akzM31rLUJD4b4/w20bIX0NLPg/6HQy9LsAtjyp6JCjAArLRBjcTeGMVM3ChbDPAREhUJQKubshsq/37XmDIdTt2VPbSE9Xmm/gQLjqKq3KH3us4SbHI0dk1LehvOy6d2/l62NiGmb7DY39+xUZ3LlT//ftK33Vb81FtbjY7IVUWOiZEvzgg8rl+zaboqUdO3peow888JuKdNQUFhlpTBiKaZtNbbXj4iD/MCy7XALJHjfUPLTdVHD4sNIUoPLGhroIc3NNXYUvXweHQ5N/ZCS89JKI4IYNJnnYvl2vWbZMaYLhwxU5iQiH5HJxqZGi+fxziVevvValcO6IiDD35ciRqgfx//5XhKW1E0ZTOUVjoGtX7UuPHp6GRjXBnDkiX337Vu0JEBsLz7wDvz8Ddh+Bb++GTisk2s0/CBs/hQ826rWG4NrAhAn67qNGweaPVVGTtrBmZMSI/vTooWhVeLj2+aefNEGGhDSMnbrLpXTj7NnaZlSUFg7XXVf/224sfPON0gpFRSKA11+vqojfgnfIli0694xIR0aGKSYNCYFTTzXHs379KlexdOjgXRtnEZEqYZGRxkRQkC7w3bu1siwrhqWXQHEGxIyAUa833xM4KkoTksPRsIK+yEjlW0tLfQ+ca9dqv8LDFUa1200/F6dTFS3Z2SITRsnwhx9ChwAoOQq9I5VCKShQFMXl8k004uPNHLKv1zgcZp3+6DJ1jIrzYSoWFKSS1trC4RBRBA2sRgNGXxg4EO59HV6+GlYXQMxUmHQRJL4BpYshrrd0BF9/7VlG3aWLae0fN7mcjCyC3n56gTgcZnlgz56mDqigwCQBU6ZU7bBbFzhwQKJUA8OHw8sv1/92Gxt9++pa6NJF39dfb6DmgIpVH0ePajFhjLWLF6sC0B2tW5tko7TU9Ca63EtrBAu1gkVGGgPuZZkBAWaIe909cGw1BLeBSbMgsBqzrqaMyEhd4LVtdHeiqKpqJzQUJk7UgFKRsBw6pAmvc2f5RGzerKjJwYOwZSlkA9tjYdBG/Y5lZRqgKtrFG4iP1yq+Kt3I5s1agYYEwrijYLND+0k1/MJ+YudO5a3bt9dvtGOH6dDoC+ddADv+CLv/AnHpsHeZCFPKdzBjGbz0sgSdp5yi41YRRtO8mviNHDokQtK6tVn5Exgoorhzpz7jREhZdXC5FD366COR1969tb1Jk5rvAqE6bNxoVkH07Sstm3vpd3PG+vW6zgwC4maHDniKj4cM0WLKXdtRUeRuoc7RAs6yZobSUqUGuneXO6gRZt/3Dux9E7DBhP+DVt0acy9rj4qTTVMM61bsg+OO7eVehP36mc3kpk7VSurfQ2EnYO+uyemDD/Ta6GjpY4YP10rS/fsbqZ+qbOGNUtjvX4SyrYqKBVfRSM3lkuPlkSM1F04aFSljxihi4w8Zsdlg5mOwtjPsuwVsW8AWogheVJomrDVrpH+67z7z+xt28+u3l+tG0iBnJ0R5aTpYEe79aI4f1+Rgs5n9MkaONKNZdY0jR1SyumWL/j/rLGlUWqpINTsbHnpIxoQvvaQO0eC9X1NTRV5eZSv0u+4yy2D37RO5NFDRKdQ93TlpUvXXhIU6h0VGcEFxiQbLet+US14iBw4oNHjmmQr3Zq6HNbfrNYOfgvgGKIGtL3z/vb7fJZc0Tp+QV19VtOLyyz0ti/3FyScralBxJRSUDj1ToHcwTP1A5a8GcTl+XN/7++/1ew4frr+ePTWZTp5cfaoqMhK6pcI+fOtFDBiTh92u7+tvRYnDodUvqMz6s88UZXA6qyeNgYEw7ndwZBkUvAsHSqArEvRe9LA+d88eRZGMnhU2mzQ12dkwcgi0WqPoiD9kJCBAqZkePeDFF3XtTJ8uh1OAm2/27zvXFJ9+qu3FxUmfM326/GuaIqmuC/z0k3pAGZ4769ebZKSpY906pVRSUrx7WaSkmOXvQ4aImBjk4wR6qFioH7RMMuJ06uLKytJAWPF2zBgYo5x8BPkE//E+iAyTKj462vyLidGAVFemMosWiZ3bbBpM27SB4mOw5GJwFkP8eTDokbrZVmMgO1sTckmJVssNTUacTvVbqcqdNDNTk+bIkd7Dz61aebfwNqpo4k6DqDiJW51OVeNMnaqBcetWff78+fpr3Vrbufxy36H9Vau0PbtdmgqA2Cqa0IF5fmZnK33kbzVJWZlW+bt2KaXyzTcqQzx82P9z/Py34P71sGmzjNlazYLhL+pzv/tOnVsHD9bxt9n0/efPh9QE6LVGItbet1e/nVNP1d+BA9LTBAVJROp0Kqp4spey5xNBYaHScvPn6/+SErlgGrqXloaCAglU58wx7dyfeEK/Y1NAaakM7twNwpKTZbhmnKu5uWalD3gKSRMSPP2F+vb19Auy0OTQvMiIy6XB051YGH99+5qTSHq6LixfcFsxR5OtO4WF+quY258yxTz58/IkjjSIivttdLQmX1+mR7t3ayUKihr07w/OMlh+FeQfgFY9YcIH0gs0V8yerUG8Z0/faZD6REaGSUR8iTLnzoVnn9WENneu/59dsTHe+vW6HTnSTPuUlipaYuSnc3M1oLoTkZ07te2QEJGCG26Q+v6jf0LeXv3+sROr3hfD/Gz9eqn+/SUjISGKiBjmc337yk59+3b/yUhAAJz5DGy/BlblQMwByNqkSWzlShGRsjKTDI4apQn+UAB0Q4SrJiXJxnEeMkSfdfy4iFRdYtcuePdd87eaNk19VhrKF6ehsWqViFZqqv6fNKnx7NydTv0ZC4NNmzSOpKd715slJ5vn6oAB0qUlJCjl0tCeMxbqFM2LjNx/f9WDmEFGoqM1GFaMdBjkwU1smEwCJS+8SlBpdmWSk5XlaXqVlSUzrGPHvG9/yhRTXZ2frwEuOlqr3q+/1sU1bpxysS4XbH0KjvwAAWHqxOvNV6K5IDFRgxw0bCmvOwwi2aGD7xCsMbl5S5ssXqzfbdQoz7LgghQ4Vv7dEspdR2+6SakJ99VWUJDKbocO1YS8e7cGWcOnoKREPg1BQRpIFy/W66KjobB8v2JGQpAfLp49e5pkpLY45RRVSdS0UuKsabDvfpj9GCwAoi6Dm3cp3F8xItW9u665zDI4Egydj6rfUnQV+oviYrNawTA6GzVK6Z+KJnYngoICmXkZ2pA+fWSAN3Zs3W2jKWL7dhGRiAh5X9SmA3RN4XIpalixzf2RIyobNsbuwECTJIWHVzYIcxdIG9bjFloEmhcZMUqqIiI8iUZMjGfZZGio/CGqmhDzjTs2+Uy0C/NdEWEgNlYXb8WojPG/+2o8M1OrY5dLefS8PKUAoqJkJDQiBlqXWyoP/ics2gfRxzyjLZGRzSOv6XKZUZ8JE7z3emkIGGTEm9mZAUPn4a0x3sKF+oz27T3JiOEt0nYMhJd/dnh4ZV8Rd7hXSX32maIDgwbpHMnIEHH76ScR1EmT4PuPIBjoX02KxkBNzc8OHNBqc8gQc8VfW0GmzQa3PAirPoLkHfDjbujxApz2gPfXjhwpQ7f0HtB5p3QjVZGRr75SOnPcOBH/oCARTOPz6gIHD0pvM3++SM4ZZyhi2VJX1yUlJsG77jpp1q6+uuprpTZwucwusobuas8e+Oc/VTHmDe7i7h494J57tF+GaNnCbwLNi4w89piYsT/N1urjJA4J8d8zIzpaF3t2tvLOS5ZoAiwpgeNH4PCHMADocze0PgPmeWmCZ7eLkJxxBpx+uh4rKlIo052MGYNMY2H1ark1hoTABRc03n5UR0YKCuTkCZWJhOEFAqqkccevKZoLardfBsl1OmUOlpws5067XcfMbodvlsIE4JzJem11BKNLF60i8/I0sVS3Qly4UGmU006rm5VwUBD8dRbcPAAygY8ehm4ToOdEfb/PP9e50K2boho//wyp0eBAqZo+d/r+7MREpUwPHtT/Tqe0AhdccOLdeR0OdY+eM0efO3Cg+t5MnXpin9tUYdi5f/GF/oyo4QNeiGNNUVAgIlGxzX1enoS/hhA2OlrjVkCAtl+xzb17E8mwMEUNLfzm0LzISLt29dP1tT7QurVZHjZtmsLxAQGy0J4zBrILoN0EGP4SZB6XWM894nL8uAaS7GzP3Gl6ukLL7ggPNyMq48ebIU/D4TU6WlGZ+lplLF6s26lTtZppLFRlAw+ajMvKFFmrKGYzLOA7d/Zs/lWaC2nlosZO0zXQ/utfWk2fdpp/x9TYn5QU0yp6926dzzfeCH06wCf/hS52aF+uF/nxR5G84cO1rY4dPbcVGChCkpiov6rISGmpWUUzcqTnc1lZIrehoTW37I/vDxcNho+3wKEy+Ho63LpbEZ8dO5RueeABEZK2baH9UMhfWe434vSujyotlceIy2WG67dsUTRp9+6a7V9FbN6s/WnTRtfnqFG+e/O0BBw8qAaOxrn95ptVa+l8oaRE11ZQkHkup6b6/iybTdERA+3aKYUXG1s7x2ALvwk0LzLSnLB3rwY9w6kxIEAD7OpbIX8btI6DiZ9DQLBSApdd5vl+oyV5drbnBG+zaeVuEJfiYq1QCgo02bmv6o8ckVgTNHlV1M8MHWqKHysKyWqCe+8VIanrCoeawKgIyMnxTUZWr9Ztr16V019G+qbiquzIPHCWQKteENlf5l779mmANqJV1cGIjGRn63f69FORzVat1M035TOlDduOhqDy0PbGjYriJCWpO2xsrFky3K2bzoOzz9bkXV2VwPbtWplGR5vpHQN798LHH6sqqDb9g8ZdCUkPQZQdYjNh1tlw/g+mnmXNGlWvPf44BNnhiw/kT3J8O0R70aocOKDzMCpKLRI++UT+FwEBZov1msLlgldeUQfl0lLpgl55xXvVVEuA0ykPnNdeU4TJ3c69uvelplZuc3/0qI7hhAmm+227dvpNIiMrt7nv0MEzWmuzVZ8Ct/Cbh0VG6gMZGfD667pYZ840J8fdr8OBD8EWABM/M/UH3mC3m6TBHZ07a7UDGiCKinwLbouKtALMzVV4OiNDfwaiokwycviwKoVat/ZeLdSjh5m3r4igIM/mUY0Bm00mR1XBECoOHuz5uMtllgi6N3wDM0XT+QJtwzANq0m1kBG5ys4WQVy0SI+fd54iEunl/7v7i9x1lyIWGzaITKSnww8/6C8uTtUeQ4f6t31jn0eOrBzJMchrUpKInK9qMF/oNB16PwTYwGmDwLWw/WVFyb76SuZhQ4eaOpX2J0HqTyrx9UZGDEFuz54iWYmJ2ucxY2rXoC0zUyTk++9FRPr3l4i4rsr1mxrS0yXCXbNG/3fpIt+UIUPM17hcph16QIApYHY44OmnzT4s7mjVyjMqHRio49hSNTYWGhwWGalrFBcrjF9QoMHTEEIeXQ7ry0nE8Be9t4evKWzl4tswH+LbPn3kqOhwaCVesVrIXf+Sna3b3Fz9Gf1LDFxyiUlGDh9WY7fiYm2jbVtPMXH79qbzYVPCjTfqO595pufjqan6/kFBpkkSgLMUkufofsJ0T1+DiumO6hAfr22kpMA77yjaYVRtpC3Urbu/SESEVqITJohUbt2qaMnmzfosd1Lx1Vcii/37V05jlpaK1IB3AtW6tQju4cP6bmPG1Ox7RfaD1n3UkbfVVDj4Pfz4HDw2V+fFsWNKOU0rr0KKnAB7fhIB63t35c9zJyOJiWY1TU2jIk6ndFqzZ+v49e0LF12kz2kOovDa4tlnRUTsdrj4YunsdpenzoyIh1HZBTrOBhkJDta5EBhYWdfhzQ7dIiIW6hAWGalLuFwq501O1grztts0ORSmqgGeywFdLoO+9zbsfgUGamJwF4pVxJAhIi7eypuzsz1TH5mZGuA2bdKKadgwzwF+xgwzhXHkiMy1KpZXG7d1pQHyx0X0tNO8R3DS0zWw9ujhuT/pi6E0G0LaQ7vxsHSZfuOuXX13BPaF+HhFOI4c0X5OL/cryTsgnxlboKIG3hAa6ullkp9vPrd6NfznPzqWbdsq6jN8uCaY0FAzRVOx4swd/fuLjOzYUXMyYrMpOrLjRYiJhC8HQtI2eOFSuOYz+OBLRXNOOklk57+bIQBo90tl3YjLpRRYbq72+7PP9Lv26VOzctvcXPjrX1UpM2SIJtwbbmjZZaD5+SIbp52mSNjzz+uYg1I2WVmerw8M1AKmYi+hR5qx6aKFZg2LjNQl5s1TrtzIb0dHa3W97DIoPAJRA2DsW02zXM0oxTNWylWhZ0+lCvr100QxfLgncXHvaJqWZnp7eMPll8ufBRQ6XrGisplcRET1x+ztt6V/uOSSmhuuDR0qDUFenufjRoom4TywB3imO2qK4cM12VbUpKT/otu2oyGoVeX3VURQkGfqbtkyRahKSnS7dq3+AgM9IyXeUjQG+vdX9MLoQFzT89MgI+k/wEML4b7TYG8mfH0j9LgbEg+IGIwZA0Ft4VAg5B2D7K0Q45Y+KCuT7mj2bEWBFi5U1O/aa/3fl02bNPnm5OgYjB8vnUNLi4asXasKtoULdc2MHm3+buPHm0QERFDz8jwjHe3bt7xjYqF2cLkIpoQSGjfSZZGRusKWLTI2A7jiCjMFsvFPWmEHtpaxmT8TTlPHpk1abXftCo8+WnVHy06dRDi8ebOUlHi+NylJluIVYYhvL7zQJBrHj4t8GITl8GF9pq8y588+02R32mneV8jGNgy4XJ4lvTk5cuqE2pGRXr1EeJ5/Xt1fjRLVX1M0k2v+maCV/86dKlE9/3xpTDZsEAncskXbmjFDE1VOjo5BTIznZ/Ture+flaX3+dIG+ULbcYoeFR+VV87d/4AXroH1R2D0LLjsBRms2e3QPhZSOui3Tl/kSUYCA5XOWb5cqbPLL1fU6sILq9+H7GylJAoLtRiIi1OKq7BQ6R739FtzgMNhikmN3ivupOznnyU8PnRI/0dGioAYhMM9UnjVVQ2//xYaBg6HxuLCQvPW+LPZPCOKs2cram88X/764Nwi/kxrHuBF87Vvvy0xuSEDCAtTpNW4f955JvlNTtZY7v664OAaL2osMlIXcLmUk3W5tLIzSnoPfgo7X9H98e9BZAvojVBUpF4hoBOyutba7dqZkQ93uFy6INyrd2JidPzcoyzu4lt3JCYqPWF81rJlZjpqyRKRDkOcWVgoQXFami4aoyIAfKd3sjZCwSG543Y4HTLzFEHJz/dtNV8VUlNViVNaKoJmwJt4tSYwSO+BAyKH3brJjyM1VaRkwAAzOvL117LA79ZN5cLDhmnSNrQyu3eLJHgjI+npWl137155kLEHQKfzYd//IOkrOPsfsGIeLP0ANq6DkXMh4FS9duRI2PMz7E8SEev7e8/PSkzUbx8VBc88U/751azgf/hBgt6sLKUeTj9d940urRs36vtefHHtfruGwvLl0galpOhcrWiHfumlGuiNDskZGSIh48fLwK2mJNJC48Hl0lhUWKgFgnsKfc0ajX3eCEZ4uDx3DPzlLyID3hAV5UlG9u3TAq7SvkAoFQzpMjJ0DnpDcLCpAQORnK1bPV9jt5vk5P77vX9OBVhkpC5gVHL8/LMpjszeBqvKV78D/gSd/VjdNQfMnSuCEBenbrS1hc1WWeTqrSmhu/jWPaIRHKyJ2BCFOp26qDMyJJp0vwg3bJDwE5Qu2LfPTAPt3SuCcemlWkk7ndo3IyrS8UwIDIfYcLj9du+VBv7gzTc1mMTEmJbmefsh/2DVepHq0KmTyER+vghDXJxZSlnRlycrS88dOKC/2bO1ih4+XITxtts0eLgjJUUGYevWaSJ87rnKrwEJfPf9T8dt5N/hsbfhhk2Qshn+7xXoPRkGna39DesIh4DkRZ66kd275QVTWlqe0qlGT1RaKmL84osiStHRqh4xzNLattU5smaNUoVTpjQeGXG5dPwrWqHff7/5PfftM1OBYHaZNVIrRrWLEeXr2LHh7NwtVMaxYypUqEgYCgt1jbiPj2++qevT/TXGWNKxo3xYDMydW7lHmoGKPk5GlVpISOXoRcXKuDPPVPSswutKnGHMfKfCNX3ttYrGeSNEFdG6tVLzxutcLo2j+fm6Rv1MB1pkpK4QHGw6DpYchyUXgSNfq+ohXtxVmyPS00W4QKH/2niS1BS+xLcDB5p25uvWaZJt3950vXUXaxrPBwbqok1LM1n/xo2aII2BYdMmRVyOzZbQcmAUpH5mpoN6966c5qgORUVKP+XmamLZuVPEKm2Rnm87BgJrabwVGCgCt3evJjOjU2lJCTz4oES5N92kie3661VRsnGjCNrOnWYaICJCAmYDKSna5/XrzWNjDGSgx7ZtU+TFbtd5HhAOBYcVVWozHF5bANf0gehM+Pkq+L8bwBUIHXpDciDsy4bszRAzTHqXV15RNKOgQL/XmWf61i8dPKiqpCNHVCnTurWI0mefab/OOUdGgkFB8mPZtMmzoeD+/WblSF3DXXezbJkiYikp3u3Q09LMSNmoUZ4OpRXt0G+4QWQNRCBfeqnu7dxbMoxohPvkGhDg2Zn5hx/MSdj9r6hI19Ydd5ivfeEFswqxIjp29CQjR4542t4b8DZRDxqkc9OdWBj3W1VI899zj85xfyZ8X1YA+TJG9kCHDv5H2q6/3rzvculaNo6xUbXlB5oXGdm3r24bZZ0oDH3Dueeag4bLBSuvV6ljeGeY8JHC2C0BZWVmx9maNlerTxw5IjI4YICnn4KBnBwNJEOGyI7dSAGlpemcCg83/UWys6H4OBxL1/8RwPavNGmFhSlEapCRLVu0Mq/YkNH4v317Hav33tPKvXVrpUOMVY+hF4nzksaqCXr2FBlJTDRt7rduNe263SMZkZFKhZ18sp7fskXEJCpKA9qRIyoVfucdDXxGmm3aNM/00vbt6v/UsaPO/5EjFUVK+kp/bYZDm7bwj4WwaBIE5cDij6DDBTo+YR0gMUmELGaYyEV2tlZTmZmqEvJWOlpWJnvzn38WocvIUAdaQ7B56aWaYNzTh0ZLeQPZ2SI+0dEiZ8OG1U5UbnT5rmgSdv/9JinMzTXLle12DfC+rND796/sc+OOa64RqbrjDpWp/5YEqBWF1Xv3Vo5KGPfbtvUs33/qKUVXCwsrp7569BBpN7BggW+CUfEciYrS57nrKow/dxE/SEfodFYmGN60FRdf7NchAZpeebXNpu8VGmpq8HJy/Hpr8yIj77yjybAxWl1XxIYN8ooATTCGPmHHCxqM7cEwaRaE1rAEtCmjY0cZKhUVNa2KoOps4A2zs+HDNUkYE8XGjWZlkDF4nHIKtFoFyz6GkOHQ73qRiQMHVJXgXtJ79KgmIV8521tv1UT3ySdaIXTqJMHhL78owrL5Z7AD7Sad0Nf/1VXVEDNC1UZnBsLDlc4yUlpr18L77yullZtrDpaGT8Xw4SJ8wcF6Pjxcx/6tt0TMhw0B51dK1Qx5qnzfhkDRR7B+Oow/CstWQulIOH0yhH8ozUy/e0UKjbLlkBAYP56S6Gg85MipqRoDdu5U5U9Ojo7jrl0mGfFnbEhPLzebS4c33tBnzJjh2wittNSMrIGaHH75ZeVyWQPJyeY5NmyYCF18vMhTTSIxBw9qW0Ya5tRTNVk2hfHPX7hcSi9VjDIUFioaZ0SrXC748MPKrzH+eveWW7GBv/9dK3BvqOglVFDgWQ5v+DOFhlZOZUya5CnGrCoq8fDD/h+H6lySLTQzMpKbqxD6zJkNkyLwBcO4CjyFkqnzYVP5CTrqnyrXbGkwLuSmhIQETQzu4VYDTqcp2qrooWH07HBfjdrtkPMTxALDr4L4ERIL9u2rvK77SnbkSE06Fb1ZjP9jYqRXMFJCbdtqm+npUJwNB49IL7H2c7iroxnVOXxYBKpiZ2ojP1wR/fppYDQiFyUlpkamujLnw4cVXRg+3JwEOnVS35HkZBG23FylB1auVEj48sth4kSFfRcuFFFJTYU5RWqaN2wTTEyEyHKSNOBcyHgKljwKe7dAcDsoHaOoU9ov4CyDxEQmL1nCoMJCAgMD+fCzzxi8Zw/Hjh1jzapVhHzyCSWrVjH2k08YHBjI++PGaYLv0sWzjNUf9OkjcewPP2jf9+yREHD0aEWWjNYKRsTj6FG4807TuTcoyCQiMTGeBmHGn4GahLvd8d57snN3OPT7GudGQxIRp9NMLRn6rrIype4qpjGMc6dbNzNd7XSKQDgqJQGEQYNMMmKzKRrmK6xfUavQqZM+11ulR0UPoLvuMiOboaEiu74I+nnnVXlILNQfmhcZCQnRCuqLLzQgNgYKCuDf/xYr79vXDKnlH4Jll0uQ1+NG6Pm7xtm/+sCSJZpQzz236RER0OBnDIAVsWePVkUBAZV7r3gjIyVZpvdHp+mwtlwz0aNHZd1KVFT1jQG7d5eOYf58RdBefVXnTlQRtAKcsWoP4L7q2r3bLBN3hxH6vPpqrRRBE2VKih7Pz1d6YutWDert2nknaKAoynffKewfEaFjMGCA6Tczfry2d+WVSjMYJcPHjpmDfViYJujgYIXBly2D1A6wKRVSvoXIe8ztTXwIvvwO2q2Ejb9AeIx0MrHZkLVJ28jP573CQm7v1Ytl335LUVERF51/Pn8aNIi/AY8cP052URH/vOgi5dQvuEC/qbeJxemEjz4SaejeXZNe9+4iEi6X0mannaZ01VdfSaT7t7+JAIwZU3mxk5pqkpG+fZWKiY+ve6fhinbunTvXLh1jfEdvhKGwUFEaI9VaXGwKrN1fZxCRMWM8uyW/9Zbv7ZaVmfftdnPfbTZTZGn8VYxkXnCBZxWGO8moeJxr0nW4Ot8kC00CzYuMXHONwsi//KKQZUM7KjqduhDT0zUx3XyzJrmyIlhyiRqAtRkJo19vWmmME0FBgULS+fk63o3ZDK826N1bk8327Z4DWmamCJbd7hlCTZ4DrjKIGgite8G6r/R4bbxFDAwaZA78S5dq2+NSYTQw4Cbo+aAnyevQQSt0I9qSlWVODqmpnhPl5s0iOwbsdokzs7IU7UhONiMmeXkiZ0uWSOQJOk8HDBB5adtWROPoURGiIUP0eb166e+SSxRJcdeOLF+u1IHNpjSHawS0mgvJX0O/e5TiWL9eUYcnv4NbB0PWEVj5LWS0g9h86PClPrekhN7BwbzwyisiD8uW8WFoKKfs3k3ryEhezc1l4YUXEnnVVXDGGaanjOEInJNjhuftdkXEjBRTWZmOX0iIrtmICF2/p50mYWi/foq4xsTonDGiHR076vu6a1AiIurHt+TLLxWhycnR8Zw6VXoGI7JSVKSGlN5SGUVF+r2MlX1enkiNL4wZY56TgYHm+eAN7umQgAAJx41IQ8W/ilGJZ56pPhphoLH7W1loVDQvMjJ4sAbEHj0ax9r566910QYFqczTGKDW3QOZayC4DUz8AgJ8hNObI777TkQkPl6h+aYGQxHvy+zMIBsVc7ZOp/LDRhmegV+NzqaLCBgpntqQkYyMyqWk8fGKLuxZDj2ADqdW9mpxrxQyUFxsEhP3FWVYmEhAUpK0FE6nyITTaXq0gEjMn/+sCA3oHO7ZU2mc0FBNcuPHK0Jy9KiiK4MHe04gNlvlSEt8vELzRrlwaSRsBnYvgrxPITRaJcTffqvo1R/fg/unwt5SSMuAAsj95iMCFmbiKitjRJs2+l3+8Q9Yu5bxffrwR4eDZxITeXD6dCa+/ba+09q1IlZGRVB2tibxNWtEKsLCNOHOmaNjY5QYBgWZFVrHj5vfo3177ad7OfSBA0qXXHxx5d+jKpSWSkvjTftQWCgiY1Q2ZGVJ//DNNyKRLpd+jzFjtBBYuFDiR+NzZ83yvV33dJBxThuRBfc0RliYZ/fmgAARsoqRC+M9FUusf1/BG6YqNCd9i4VGRa3IyOuvv86LL75IamoqQ4cO5R//+AdjquhpkZ2dzSOPPMLs2bPJzMyka9euvPrqq5zjK7ReFc44oza7XDeIi9NAdt11Zuhv39uw9z+ADU76GFp1a7z9q2ukpmowBInomqJ6/+efNeGccUbNVOjt2ind4Y6yYjgyT/c7XWCWtfbsWfNy3qQkTb7DhkkkaURlzjwTRnWHbf+VyLndeP8+LyTEU3xrwGimd+iQaRJ2882apCdPNkm7y6VUSECAmb4JC9P7DOHroEGKkixerNYGy5dXtuY3/u/bVxGCSZP0l5lplgwf+QEysuD7D+HK+5WCOnpUqYCEBJhwDTjehaBSCIfAvYlsCIViOxwMOMaRaVPomO2A8HCcjzzCshdfJODgQfYGBmoy/vJLTfbHjysCYBANg5BeeqmiG6eeqrSLkSIIDFSEpLRUguUffxTBjoiQM25hochVjx7az82bRXT+8Q8Rruho/Y7eUh+nnGJGJbKy1LDOF0pKTDISGGhWV7lcisKMGaPvEhbmGQULC1NaqiKxMP7c04iBgUon+3vNVkxhWrDQwKgxGfn000+ZOXMmb7zxBmPHjuXVV1/lrLPOYteuXcR6iVaUlJRwxhlnEBsbyxdffEFCQgIHDx4kui4Yc3KyQs6XXdYwaZEJE7RyNCamzHWwprzufMgzKm1sSfj8c62whw6tuuSwMZGSokG8oioetFK+7Tat8O+/v3rRc9oCcORBWLzSbZte0+O1iYr861+a9I4e9UwP9e0Le5dAONBuHATWkQanUydNUiUlKsUdP14rbWPbHTuqBLZPH0ViKopts7M1mcXG6loyGvoZ36EiHnpIkzgo9bR4sSbr+Hg4fQpsnw3tU7W9p5/Wdfroo9KotGtHQWYM4SFZuAIh7BhktFe7mj5ZZQSv2UBu+zhah3TmxXvvZWdqKr/MmsVZV13FOx07csPmzSIBxoQdHS3CExcn8peaquhTUZEElEVFSq2mpIiEBAUpLZSerrRIRoYiQWlpZqVYUJDp+REYqOjg+vXaRteulUsqc3PN+2Fh0hJ5E1eGhSkyUlSkY9y1K9x7r7a3ebPcYw0SUnFMCwxUBMNfNMXFgwULPlBjMvLKK69w8803c0P5RfHGG28wZ84c3n77bf70pz9Vev3bb79NZmYmy5cvJ6g83NetW7cT22vQxfzyyxokIiN9CxhPFPn5muwMgaFBRIqPwZKLwVkMCdNg4EP1s/3Gwtat+gsIUGqsqaKqst5ly7RST0zU5GkgO1sr+W7dPAfspK90m3C+qlzuvFNpOcNy3V/k5alSAypHX+DE+9F4g92u77N2rVb5RUV6bPBgMzrirveJiPD03nDHwIEioJMnawL0Vi3k7qNw5IjKUA3n0yIXJAEHN0Lao/Dwo9IzjB0Lmzfj2rWL7JzjBNghJApIhqlZ8FIJRAGRNihJTWN9Vj6P5+XxRadOnLRsGa+ccw73/Pe/nNK3Lz1atTIbO15xhYS2oaFKrTz3nO/jNHq02TF5/351942IUDRiyxYRr9JSkbrsbN127WpqZZxORZ3Gj1ckLi7OJB8GWreWIZYvrFkjMTgoqmcQ/ebWP8eChTpEjchISUkJ69at4yG3gd1ut3P66aezwugDUQHffPMN48eP58477+Trr7+mffv2XHnllTz44IMEBHg3AysuLqbYTTSV4800JTRUg8H77yvf2rVrzfK6/sDpVCnx0aMyGjKEe84yWHalrLxb9YLx73u2Qm/ucLl0TMF3Y7mmAIfDLJv1RkaMigR3501QCeGsWepXYvR5cDkhqfw7dyqfrIKDa2ey9847yve3aaOonTtcLlj5ExwBxtdhaHzvXrmXrlljXgvjxlVvqe4N7n4O3uB0KjLhcIisTJ6s1M+uXYoyZLUCVzjkF8D+tfDRf2HqMLiuH/xlGc71KXQskPmUaxHYgCBkuWL8OYCriwq5PiGeaeedB0lJ3BIWxpy4OK5JS2PxtGkEGESybVuz7LlVK5EyX1EJd61E584yxHI3oHI4FEE5fFjVVhs3KrXToYME9M8/ryjPDz/oLy5OKaGhQ6W/6dVLv7u3SK3Dofd//LE+MyJChL+mXaYtWGiBqBEZycjIoKysjLgKeeu4uDh27tzp9T2JiYksWLCAq666irlz57J3717uuOMOSktLeeKJJ7y+57nnnuOpp56qfodOOkmrmyVL4H//g0ceqVx+eSKYNUuroJAQzxX0lich9UfZX588G4Kj626bTQE2m8jX99/XX8SpLpCebroaekv7Gc2bjJJMA9u369Z9JXpsDRSlqrvyiTiiOp1Kb4FKFSumhnL3wJKjkGeHok6V3l5jZGTABx/oPE1MVGqquFj6EW99WBwOESVv5Z6FhYocGCmv9et1bVV8nbFQuP9+RY0i7XB8FyyZBaU5UJID/YHWwOJN8M9NMAcIBtZAQIH3r7IIxExsEBUK208rg+np0HoxbI+BRVl8PagTxMRrH9u1M6s3EhNFNNq1UzoKqk/dBgZW9gAJCjJ7JBmCbZdLEdJWrSSOTUhQhc6xY0oJHTwo7VJoqEhJv37yaTFcQ9PTRZoffFDjFeh1r7xi2blbsFCOeq+mcTqdxMbG8p///IeAgABGjhxJcnIyL774ok8y8tBDDzFz5sxf/8/JyaGzr1rxyy/XKubAAQkFH3igdqvBili50uzDcsMN5qCR9C1sK+81M/YtiB7s/f3NHdHRpoq/qcIQ/nXsWHnicTrlSQOeTfNKS80KmQEDzMeNFE38VMgpgNee04rV3erfH8yerUhaaKiEpBWRvgiiAUccpB3TpO0PXC5P0hAbq/M8IkLphSNHlFIIDRVx/vBDrb4LC7UfxgLihx/MqJc3dO2qid7l0vHbuBEC7VCaC44c3ZbmgiMX5iwA+xFIyYe1wA4gB3AB81FvH8Pv6lAQ5AIlZbjwtOS2Ac4AsLnAFgKUgasYmAe2lQ4Yvh06AU6gCEWV0oIhOEYVbCFtoOgC6HSTHktKUgTCEN5WvO3SpWaLFpvNTNMaROOJJyT8XbJEAtcjR0RYAgNNEvjVVyLEn36qfQoMlIbnwgsVkfOmc7Jg4TeKGpGRdu3aERAQQFqF1sJpaWl08OEy2LFjR4KCgjxSMv379yc1NZWSkhKCvZRkhoSEEOKv535goC7sP/9Zg8PHHyuceiKC1oMHtdoETUZGqD53L6y4Rvf7/B66NfHJujZIT2+6aZmKqEovsn27IgCBgZ7Oq3v3ipBER3uuit1Letet02fv3FlzR8ZPP9Xt6adXjtbk5MCm7zRZF0XLL8fwvygslK+EIQpdsECiUOM5w4AqO1vRkPff1wo9LEzppu+/Nw2nioulHTE+Ky/PJCOhoZUNqEJDIKAIyIXULyE/Gz75GVYnQrci6Jqn3EkIUAAkI+JhcJoMoDwIhQuw20SIQspEIFxBkN8KykrBVgIhNkpKi7EDQaHgbA+bisFeBumdYEQRtD0MFAJHgVWBsC8KekVC1yLonwYFJZCfBgVpkA8cXgZf3A9hCZDZDY7kQmZbkZXgaBnLGbjoIjjrLN1PSVH5bsW+Qsb9mBjfZeNduihVHBCg37KoyBTV5ubq/Nm3T+NScbGei4/Xufn440rnjBoFt9xifmZGhohSS/EpsmDBT9SIjAQHBzNy5Ejmz5/PBRdcACjyMX/+fO666y6v7znppJP46KOPcDqd2MtTHbt376Zjx45eiUit0KaNVn+vvabQqcNR++hITo5K4hwOie6mTdPjjnx14i09rnbvw1+sm31vSkhOVnh/6FAdz8a03PcHXbqY3hgVsXy5bo3ulwYM19V+/cwBP2cP5OwAWyDEnwOfvqnHR4zw7hPRr595bDZskFbCeG7oUJ1DBQUynXr0UZOUzJsHb/0sy/ScfP3v3ip8wgSTQBhN7kBRiuPHRZJzc7Xt7dtNAerJJ6uHSVERnH++dD7uOokOHaAwFfL2Q7cjcGcnyN8P+Vv0WMFhGb05kUdIFrAb2AckovRKUADkB0GhDQpdEBAI50yEdglQFAC73tO+BAfr+550ErTbBhu2wNryduIRERAcjK1jR/JdhZRlJNK+DewaApe2hyd/gR5H4apT4Iln/8j4Z96FAxkQ4FCpzf4iKOkHUddAYCEMawPJ26BjFgTtgYJDUJgMwclwBiJO+UCBHZwd9OdoC2yH3F7Qqrsm/wMHfJ9j7sQlPV2kryJpOfdc6WZmz1a10KpVOi9OOUW/Tf/+agvftq3Okbw8/bVpYwriDxzQ8Xn0URHFTp3017mz/uLjfZMiCxZaAGo828ycOZPrrruOUaNGMWbMGF599VXy8/N/ra659tprSUhI4LlyRfvtt9/OP//5T+655x7uvvtu9uzZw1/+8hd+XxPjHH/Qv7/yub16nVhJ26xZqhyIi1NnTJtNk8GqWyB7C4R2gImfQ0ALGxhcLjl5ulw6fk2diIAmfl9tsVNTTbdI0KR/9Ki8JVJS9BvPmqUJvPQrTbhxkyG3TOm51FSlPYxIhzuef94kGHv2mF4sBrp1E5nNzdXkY7w2MAdCCqG9HeyxIkmjRnkKLQ2MHSs9RkqKIiQOh2m9PnGip+ixTx+ICYH20XBFLwjZKrKRtx9SE2HrASgrNF/vAvIQ+WgFZAOpgbA4DKKjICgSCgIhfSeUuTQ5OsqjLk6nzo/QcHjqn7JY//lnWLdex9TlkqBz/HhYmQ7pQDs7hHfV8RwxAsrKaBMTQ3FSGsTlU5QB+/tqv+IKA/hwey/aDWkPyw/DvI9h9t8haTMczYc165Q6CooEW5iOR5cuMOZSGDUEeoRC1DE4vhWOb9E1W5IFpJT/Acd+gm9nyo4+qB9M6gzOBCiLBUc05JWZVUPu/jKpqSbJrYiAAKWMhw1TFVZRkXQsN94oQmPYqScmyhU2LEwkprRUx+yf/xT53LtX1TjJyYqsGIsqw5HVqAQqKzMrCS1YaAGo8Yxz2WWXcfToUR5//HFSU1MZNmwY8+bN+1XUeujQoV8jIACdO3fmhx9+4A9/+ANDhgwhISGBe+65hwfd2zbXFSpWTRhq/5rgssv0vmnTzMlh9z/h4EdaOU/8DMI61s3+NiVs2qTBLzCwcUt5XS6FtL1FJIqKtOI2IhoLF3pGJdz/HA7l843UxU8/KZS+cqW2YVR/AAxbIjKSMN00OitfxQOaaNyrM9z7bxhdbI229RERnhUc7iLSwQ64AmgzCb7qp+1cfnllB1YQAfj2W1P3EhoMo/rAuC4QdBQOPAdb94t0ZO+BceUVZ9tn69aQZRShSEcWkBcDRyIg3Q4FNoiMgbh4yHdBQSkcPQzDz5QGJyoKVjwElEJ4hL5LQYH2KyRE0Zb339cxNtxGi4t1bPbtE7HtEAvjbHCoFCI6w4790reMHQsBDkJC83ElQ6eoCczrcTqDuy2mfd5+7EeOiwQmJMBVN8B518CiOfDOs3B8rchCURaUZUFgKGRlqgR71QBFEDp3hhEnwYUvaV8Lj4iUGOQkewsc365op2Md2NcpDRWIUlFtY2HIYOnBorbAMRtEDdAC5YILPEuds7JEOsvKFBH54gsdi9xcRWl//FF/IDJmREPOOcdstW7oTWw2keeSEv2flGTqgmJiPMuHk5LkkdK6tRk96dxZ0ZS4OMtjxEKzQ62Wv3fddZfPtMyiRYsqPTZ+/HhWrlxZm03VDg6HBrP0dLjnnppdmOHhnsLDo8tgfbmYdvhLEDupbve1KcDhMCtAzjyz9hVJRslnUZHnZ+zYoWoCb+SiuFgRLYNgvPmmQty+MHq0JpiCAhGobdt8/742m0kG4uIUNUtI0HuHDtUEG1IMef/VazqdD19+pAH9/POrNqAyYPSdeeAB7fc99/jWmaQt0m3CqdC2WCmClBQZoTnLoDDFjGjkJsKurxTN6V0E/bIgFNjo47gUo5LaVt1gZxAccMI5k+DrzdC+IwS2Auyw+Rd9f4cD7OmQXChSFFDerO+FFzRBlpbCu+9q+336aBXfp48ErjYbXH+92RMnMFDH1xANHzmibQB0jQJbNqxZAQFR2u7x4zAiBBaArdBG++sncfpZt8GKVDhWpHMlKUn6ry5d5PB6+nSYfC4s+AH+8QSU7YbMXEgrgswisEdAcZ55PqSkmGXp4fGQ5YJep5qRBqdDGrBfCcpW3ebtg6J0KJoPafPdTyZo1UMEJcEgKqeqf9HxXLjvPvWtstu1zaefVrrOICxpaSq7jolRNMm9xb1h3x8UpNfn5+v6KC0V0Z06Fa69Vsc5J0fXalCQGX3bvt2sEAM9d9VVik6ByI1RdWbBQhNFM4jF1wLHjmkFXFKiyoFyfYsv2PYnwrHDyu+6TzqFqbB0Brgc0PVy6FvHqaWmgvnzNTGGhWmS3r+/cjlnWZmZOwelOHbv9nyd0f7bbpcDqXEsFy1SaN0XjEEXzAHT6N5Z0SfCiEps26aQedu2mhi92WO7pz3OPlt/FbHvbVjlgpgRUBSh7x4aKiLibwg8O1uRF/dOpxXhdMrhFQAXTCoFZwEcuht2JsLug7DNAadiXpVDkFNruYyEwAiI6A75cZDbBvLC4XgQHDgOqcehoLg8ElCoCS5nBxzLgaGTRLDi4xX+T042rdGLi7XyjoxUWsj4zYKCJAz/6Se9d/16kYxzzpF/ydVXi4zExalP0zvv6PcICNDxi41VSiKtWBU1Loc+e8gQfd7qT+E4EBAkgXjHjtq/oiJte/9+TbD//rce79lT+3zmuXD6VJGJOS/C7Ndh9RHIyoewDTBwAMw4HV77TG0bevSQyPS77zR5Dxqk7Q0eDFH99Ndlhvk7OfIVNcl2j6JsEUHJ26c/o/JKBwqOBkP7AJgQAp3Hw90vQrvenmPJihVm1K+kRN9t0CAtfmw2keSsLF0HRrlySYmIW/fu5rk4axa89JLeExgoAhkTo9vgYPM6io42S4s3b4b//lefa0RPjNuYGEssa6FJoGWSkbg4rSTeekuCs27dlMv1giiyCfzfG1BwXBPgpPLIh7MUll6qEG/UQBjz36Z50TqdnikNh0Pf18Dy5WZUomLqIyAA7rpLLpDGZ/lyrwwI0GrOOAZpab6Ff4GBniLinj19twYPC/OMbFx+uUqKg4OrPt4pKRpIJ0zwLN0FrUoXL4YZM0xTM19wr6IpK9NqsqCgZrn4//1Px7ZdGzi1LyR/B3mJinAYkY68fZroQD41IO1GErABVY1gg4Md4KSBENIVOraHnFZAGzjrYigJFZF46aUKnXvL/UVAx9LpFLksKlIk4/bbTbHrt99KPGm4l7ZqpQmxd28Jc43JLDtbaYE9ezSRFhbqmCxapNc6HEo5HDyoc8jl0ucMHy431AUL9NrUAggoVB+aIQOge28ILoOdWYrmBNlFLBcu1ASZlKQITG6uoixLl4rYPvaYqb2x29XXZ/ojcM4DcMsM2LQEXJmwbTtsvQnSw8EWpc9LTxcxat1a5+3atTo3+/XT/g4daqbKAiOg7Wj9uaMo3YyeuEdTygqgfSn82qz2G/jpG5UYRw+GqPIoSq/B8Nj98M2P+r4rVogknHuuhK6GF47h/OqeCnI33gsKEonIylIEJStLfwb++EelmKOjFTl87z19//37zRSbQVpat9br7rhDvymILAUENA/NmIUWhZZ7xo0erQtw/nyt2h5+uFKTsQAc3Mqb2I4fh67xniWgGx6Ao0sklJs0G4Ja1e/+JiVpAPamlQgK8ozuvPGGGb1wb+8NGmBeesn8f8UKRTC8ISBAk1ZEhFam0dGmuK4iYQgNNVdaoCjJxImVIxehofpcd7iHpKuDv6Hkqsp6N23SpJ2fbz6WkSGPjUGDTNGrI1/mdSAyEhOrKIsvOEtVeZK33yQa2fvg7TmQWwijy2DekKr32x4MMSMhPQbWFkK6E4JbQ9sA6NEXohJgSZZ+35xd+g5FRbDUjXDs369j2q2bIkN2u1JEhmYlJ0fnhhH6d9e4jB+v1/TurUm/Tx+RAKMPzdq1IrA7dpgdZI0JsLhYZaoHDmhSy8kxfU169pQfz9Ch0pKUlioqUVAAjmIYXgQvXArOSfDRnySgBbCH6fukpem127erF9DgwdrW8eMiJG+8oYm24iRpt8Odj8Inn8BPc+F4skzXcgugdQG0ywViYPhQKPh/9s47TK6q/OOfme2972Zbkt303kkCISQQSkIIvYMUxR+ioCCKFFFQQUWaKKKiIB0poacR0kjvve9utvfey8zvj+8e7p3Z2WQTEgnK+zz32d3ZmTv3nnvOeb/v923NYk0NG2FaHhQVCbgeToIT1WG515nWa24XvPQ47JoPl5wCbQcFUOr2KWi2dLkOu/TuDRF9YZ0LigPh5TxYvgwe/IXVfToxsfv0+jlz5Aasq9Mc37ZNY3bggAD66NHWZ5cv1xEVJXeln5/ATm2tAGnfvvq+mBjFi33wgfahvXu1rnr31nMdNEixUb5im76Rb+Q4yX8vGAHRs7m5su6ee06VGU39Ereba3iNTLK0Od12m/W/nDdg71P6ffJLEOkVGGtnI+zgwen0LEn/4Yeiy30BjKgoFU4y8sIL2gh8SUSEJxhpaJDFZJeAAIEB7w1jzBgpku5YiYwMy799NLEiR9uv5XiLSYn1BiMul1Xl0s6Y7Nypjbm42AIjRYugoxnC+kD0yM7CYiVdWQ3z06TA2mUlykYJBKYBAdFKGQ3PkEvF/Nz7NBxcCDHfhjc7My1CQ6UcLj5P11dZBVXVOm9WlizekBApkZ07bbEeTqWSjhypKqiGpfDz01wLC7M+Z4CGkauuEuDyFWfT3Az//KfGEARYBgwQMGlrExgx1Vv79dNYRkUJIPzgB3oWf/ubPp+ernotQUEwdhhctBGKP4IzvgsFe6EV1SMZMUIB07m5em69ewsoTJsmBfrPf0rhJiZKKfbvLyVq5rnLpZpAzc0wcYruq7IIsjdBcaHiSCpWQO1G6D0REobAo48J5GzeLFbQFIcLCdG9vveelPrYsZ4GjCnnPniw9haHE274CfATz3HsaIbaPZ6unurtSjtuzIWgXDgNpU9vBKKdMH+uGJToERA1XD/D+vhmB51OjXtUlGfhvoYGz6aMgYH6f0uLFRQeHKxxDQ1V1k9kpNb9jh1iovbsEZOSmytXt5EhQzT+d9+tsVu9WvMsPt6qxxIdrTE8GRnkb+Skl/9uMOLnp4JCv/61lNfLL2sjbmvD+fk6TmMlbhy0TzmDgP37FelfvwfqOwNWW2fCyma40nbOhx7yrA1hl8REq407KE6iO4DhrQx69dLG6ivuwdSeMHL11dpADbAIDu6eVj3zTN+v2yUg4PiW0T/R0tamDRPE6NjFdHQNCBA7ZsTUF+nfG6q2CFzsfKTznw74+wBoy4foFpUE7U6cQZ5A4y+LIbQeZp8D1z0uet5+Leu3Q8EOWL5CFUgjd0NWqRUfEBQkNqK8HM4+Wxt+aqrYgHffteZEeLiUvcMhq7aiQgyQCQhNTbXmVGioPudwCHzYAZtRVhUVyv4oLbXYoIgIxU2FhysuxMQu7NihWIVPPxUIKSoSSAgMFGhau1bP5KWX9L1RUXouP/+51txFpwEboXgRNJTClv3K9omMVR8ck65qeiJ98olAz733wty5GqusLHj//c5YmFq5U6dOVRzQ9OmWiy0lRdewbh18NBcSCuCzuVDfCHuWQOgKeL8BLnxE8S9btshF9PnnAiAVFQJFOTkCJcnJAvQREfDYY3o9PFyuFV/l9gH8giFmtA67tFZZrp7q7ZC0HQZtU0Xbmh06NrwOO4EJQFQERA/3dPdEj1DFWV/ivU9861sak337dOTlaYzNWGdmWvMhLk6ZhB0d2rNycvR+kxIfGKhxj47WPrl8uc5pmNWwMI1LdLSCuMeO1XkLC8W02GuzREZ+k+3zjXSRrxcYaW62rBjvAMvQUM9W7y+8oE2sqUkWw8aNYhPWr4fwcPxrFO3/Lpdw88alsKQC/Fph7FwIbYGqVNiWCkk7Pa/Bvoj8/T3ZBu/N6cwz9d2+WAm7BQO+S4d3J8ejn8XWrdpcTjvt67cxlJRYMQr2dEeAlcvB1QpJkXDoHwIdtVkwfzk01EDO31QIyy4NOSpfXg5MdcCodBu7kenJdIT0spoiLl4MRQvAFQgDJ8Cz/xL4DQrSNX74oZRifhaENUGNE+prtBknJ4tZaGzUph8ZKTbBBAnHx8tyd7l0BAUJeBjrNz1dCgEUbOtyWW6X1FQBg1WrdH7zfFtadM5Vq6y0ZhDtb+buVVfpmp9/XkGqra3KqvnsM4Gg5GSts/JyKZzwcKWz7t4t8DN7tn5ft06fzcuDVxbAmEQYUQof/gDqXBDtgO/crhocRhwOuf6Sk8X6BAdrDO+4QwBoyxYZGHV1AgyTJulzF12kufzHP4rpy8gQe/Lwo7r3Wxvg/V/Bo8/AoUZY8S9oexUGXAeDJus6i4q0N7S2apxCQqymeZ9+at1fr16qHRLbDSA4nATGKBvPnpHndotxMwDlL/+GvENwqBqG1cHI1VC+2vM8ISkWe/IFmzJUIMguoaGetXgaG+XO2bdPY2jfg+bNEzMSHy9APHOm5lJsbOc1NuqZ+/lpbGfP1hwz41Vaahlpjz+uc9x/v77rjTes+jSgn5GRAiZXXGGxrFVVAj6mmNw3Rd7+p+TrBUZ+8QuLQvaWvn09wci+fWoTb2T0aCuWoawMAkJZzwQWcTbufgXQmgjRL4J/DRAPfR6Dob26BjL+4AcWCDlSkNdppx3d/f2npLVVG0RlpcDdtGlf9RX1XFwdcHCzAoujgxUManelvFugeITgLFi/Tp8pRaxEIBAHBCVAUJyodGcwZDwMgcugbyT88BmIPgxLtHWrrOiCAs2j9HRZ0598ImWdmyuAXFIihR8VBbFOSAXGjIYNQ6XUWls1/q2tmksJCTqPEZPlUluredvRYfVICQ/Xe0065wUXdGWIhgwRY5KcLEDw2WcC5PYYo8GDZTmbXjS7domNee89/b1lixUIWVho9a2ZMEGxN7m5Ai/Fxfq+H/5QgODCC/W9//qXrt/lgt0JkFsKzW9BEtCrn8CONxCOi9NRUiI2ZtEifU9dnRRjWprAxq23elbeNZZ8Xp4F0oKDdc0ZGTDqJrggQKnNh/ZDdjEMexEqXoSIYXDeLdCUIJbKxBqlpamOyoEDuoe4OAGvwYP1/5UrNT6DBh17wKfDAWG9daSeDz+5Wt+xdw9U1sDKRpgcAxnVULtDwLmpUIeJdwIB5IgBngxK1HClIzs7973QUIG8kV5xTYYtcTgEOMrLdW/meYwZo5gaw7z07atj1iw9+/x8jXt2tgBNR4eAnJ+fntmYMWK8KirEWIaGag6HhXnu51u2aF8yEhrqyajMmGEZYs3NYuPCw79xC/2XyNcLjAQHW1aLd+Ckd2+cSy/VIvPFSjQ00LY7h5f+ORJw0H79TQTlPKpN1xkIZ8+DuPE+L8GjIuPXVRYulCI02Sgnk7jd0FLhFa+RZQWNNh6Cijbohepu7PD6fCGAA4alQupYMRp1TZB8CMZOgCvvUTDyph8LjPS+HKpHQugBKZWWdqWxFhYKcBQWyhLu3Vtjtn69rH4TuJmcbPnjIyOluEzwrJ+fwMgUl6537IWwp8hyvSQkdCqjMMuaNxIcbJ0jIkKxG4MGyVpNTpbPvqNDm7M3EAEBBhOQvXatVTk0MVEAZOJEKRoDQkyBta1bZeX6++v+HA7NkYwMfZ+fn8bg88913uJiKZjLLlPWy8GDcuH8/vdyA0RHKy4kZzPk71QGUTRw9gUCS42NloVuD5CurLRARWSk1WOoqkoK7vPPPeduv37KnMrO1nHokJ7J3r06kpPhlw8JkL3xBmxdBesPwcEiiNsJ234Emelw0W2QfCYsXKRmg6DnNGeOnkNrq8bB7Va9DxNrMnKklO7QoVbs2bFInz6qu7Ntm0BJaSmsBXL7wZW/h/5pcvXU7PBMPW6pUMBz7V7Ie9s6n1+IsgE9WJQREGKLhXE4VCenudliTvbt0xhWVHiCZLdbNZx699ZcTEkRE2fis0zrAhNsPXKknv+ePRort1tj2NqqZ//443rPbbdZ9WoqKwU0Ght1GMbFbtytXq3n6O9vMSl24DJu3H/HXv0/JF8vMPLzn/c8L368F5hwu4XWc3LgL3/BP7YXLkYD4CxdBNse6Pzcn7sHIv8NUlWlrBIQYPsqqND2Bs+MFG/Q0V5/+M/H+kN6H1vsRqcrJaQPzH8aDubCHW9ZVtSHvwRHI4w/W0DE7fZM6X3sIwGQ0lIpLpdLm2B9vQBBZaU2PRO8OXasaOy0NG3UTz4pBbRmjcV2+Ptrkz7lFBj0Z6Wxps6AqYd0zrY2vcf456OiNLdnzNB1JSaq4WO/fgLa3nN+40b9tM/z5ma9vmqVqHmTxTRmjGIcJk4UQLCf67nnZJG6XAIiYWH67iFDdO7LLsPV3ErLw7/DHREC111PwPN/wbl2HXS4cETH0jF6LM5/vAhlpRAYSOt9v8L/33PB5UfHNTfTMXM2VJQR+tdMHFH1uLcH4Hp1A66FBRCfgKt3H2hpxj1oKB0XyYjw252NX0UNbT/6Cc7CAvw+nItzxw5cAwfjKK3A3e7A9fzLtF9/U+f9hMGgsToAd4eL5qxC/PJyiKrMxmnaREyYIHdtdrYqwwYHQlkF1NVDXR7svRdSo+Gim2HiBMgvFLAqKFCtkj//WaBk1Cg9m9xcKd61a3UEBGjsJk3yZGqPRhwOnX/YMAGyjz6SG6m8XOdOmKzDiNsNzcVetVF2QM1OtQGo3KDDLkEJnsGy0SMEWkwRPzOfDh70zHArL/dsfxATY4HkgQPl5jHAwH4/v/udxtCwKHl5+r2tzcr2Ov10HT/5icY4Ls7KEDNZRkYMe9XebrE5dsnMtMDIkiUKVPbVwTkmRkaAvSbRN/KVyNcLjByuEuaRpKBA9SCGDoXmZhxZB7mMt1kVdyrBG69Wml6/70D/7xzfaz7ZZO5cKct+/boCtuMlX6TAZvkGHc2lRz5HSErXjJQvQEeqRT17y0uTPP9ub1e9i9JSK7i4ZqfqfjiDoGUQbPiDrDmzCZuOq4mJssIbGqRk/PzEEMTGqtfImWcqZTwoyApIdbu1uWVkKPOjVwC0lINfKESOhtVvWK6ShgaBgPZ2KS57nx0TP+FLGhosF82YMYpnWL1agKqtTa83NgqM1NTotWuu8X2ugQMVkHjokN7rduu906fr3A4H5cUuXns5hBCaWPL3fZyJg1DGUEoij3MXj+fczWRyaCCMn/Br+szZxygayCOdR1+Y2VmZPoEX/+8Sbqh6iYrPw6jJyaWOavzYiR9SRmUk8HPi2cAE7mIT6UTxyjuNrOU8HmMxfUjFtameJkJxUU/jC2t567beLGaGjxtzAmlAGiUlU0i0h3MlJSk2JytLmXalpZCRCuuXQXEpNFbD356AiRFw/f9BrwhIGivlvHat5sfnn+tcaWmy7GtqLMCwbZsYo8hIq37HsYi/v+bYpEliaeyZM3ZxONSiIiQZkm1p9K4OzXM7g1K9XZVnW8pUhO+LQnydYqrMGndP2giI6ON5TTNnijnJzta8X7PGyryZNcszINlcX1CQAEJmpu36XBp7e+p5XZ3Fqtjd7KCxnzxZLNzs2QperqrS+01NFlOfxR6/Z0r219UJBHnLPfdY17V2rVxU3t2bze/fBN+eMPl6gZEvI4mJ2vQ//VRou7GGGQGLePCHD+NorYDYcTD+ma/6Kk+smMwHh0OR88cK7Iwl5gE0bOmwjXkCd4eTL1JgM7uCjrA+4N+NpdLeDtt3iPWIjz/yPfj7K+vi0CFZeZWV8PkTsAloTYV//UQblL0XjfFl19Zqoxw8WBtSVZVA7cKFUjwvvSTF3a+fYhwmTpQ7IDRU37N/v4pxjQYSpkBQqK67qkpKyl4M7uqru6Zlr1kjxZmRoeupr9dmGBCgDJh33lGMhr3oVXKy5YZZtEhU/8SJcjX5kqlTFU+yY4fGNiVFnykqEmiaNAmcTvYxgMt5m75kkUMmCzmX17iGaSwlnHr8aOMA/WgjkKHspAM/XuAmXFig8d03L+Sy4H8TUdIAOKgijoP0IZx6OvCnjASu5TWu5N+04U8QLYxjI9VEE0wzhSRTTBJnsYQQGtnMaC7jbQpIZQ9DfN+fL7HHTdTU6N5/8xuVjA/rA72iIWsXNNXBW3+AA08pvX/0bDFMHR1iRNauVb+jDz4QA/bUUwIhmzdb7osvK1VViuHZuFFg2DTc64k4/XTdkQOh96XW6+2Nqs7rnXrcXNy5jrMs5hDkuo4cYjEop4yAc64BZ7wAiXHrZGfLzWRk3z657OwuxsREa806nV3d66ZOkjeDUlys+W8HLu3tym5MTrZ684waZZUyMHLeeWLE7IDFDlzswcgFBZ7B3d5iBy47dijl3huwxMQce9f4/2H53wEjgYGqRPnb30JdHe7oaMZfuoih/Xbj9o/Bcfo7XaPR/5vE+LhBysq+afiS1hptSl9UELWBjoYc1VI4nPgFQ1hfC2R4g47A6GO7j6IixSaEhcnfbJeDB6W4TRaEw6H7HDJEyuORR8RW5C2U2yQhVRtSQoIsuksusWJFqqq0mdbUCMSFhVnxFRs2aCNNTdXGOWOG/ldcrHgKe1BeyTYYijoCgzJD7LUYBg8WqPLevIqLlRbb0aEMnU8/1Wb84IOayxMnitFYv17g55RTrOdqzm2UoWm250uqqmD+fDEpGRm698ZGKdnaWli8mLAZcxjEXpIopv+4aFz3X8R1Z5/Hc3v3EPDnt6A6DJxnMDMykpm8iyslBffocdwwM1WAJjAQysoIuv5p/DaAO8BJbFwoUTNGMfTH9+Lu1x/q6nBuWIvfmlU4igqVEYU/1zp34Y4qwlHRTsd559MxehzBV78Pzc2MGVwBcQncHPMv2h78tUcQaUODVSLEO3HNQzZvlvu3vFxK6bTTNG7p46E8C3avg456OLAL1uyCyL9BZG/NH1PGPSFB86GgQOP/739rDBMSrLopRyvNzXKnLlpksV2muu6Xtcz9Q2V8xXq5kZrLPZsJmtiU9nqo3qrDLgHRAicpI2DocAi7HKLTrf/v22dlMK5fr9ciIy1gYlKmvSUiQmvWHqDc1qa1aXcZFRTo9dxcHXaJj1eq/LRpmgAhIQIpR3oWkybpmXo3Q6yu1l5gj0PZu1dA3peEhSn2Jy1Nf2dl6XrtoCUs7JvgW5v874ARkLVy003w3HM4amvwa2jX6w1uaPsvR7Km5sT778PFFwtMNBzqBBo+QEdr1RHO54TQdC83ig10BCdZKbDHU+zFzhwOKcy8PMVd3HqrgMgZZygGY+RIBTUOGSK/cXMzpMSAswwigFP/D9qDpJDq6/U+4+dPTFS6o9ut110uBfeVlel7nU4BG7db4Mi8PmaMLLRBgyA+Dva9IY9B0nSd11sz+go+dbmUmt7eru9ubZVSKiyUVWbqgpx9tuJXRo70nc2RkWFlSNTW+i5xn5gohue113Q/CxbIzVBWpp9FRQS/+RaTCMaJC8fgQQRfeK4Klo0aAFMmalO9+GIxRvPnQ2kBvL0bPvtE33HHHXpG5SXg58QRFgZjRuG88lICRnW6McIj4YKzYfYMvbeoSKnT+/ZBUw1k7SXgQB9IjoHvfgf+9Cf8Du6DEUPh1lsJjOp+K/O53zc3y6p+/309w8hIgZLZs/X31q2K1QjvB7WHYMsaaK6F4mooqAb/AEhMgUtul7tz6FClQ+fkiMWIiFCGVWam1bLAOw3dl7hcchN88IHlrhgwQNksRzIgvqwEx0PwdGuughjOhkNde/XU7oW2alWpLlvheZ7Q9E6QMhRuGAClgXCwCbI642sMOMnIsMBISYnu3Vd8FAise99/ZqZqSHmzKJWVmvPGTQR6/YknBA5Mb570dK0/+9pJSem+dIKp3WNkyBD97V2+33Rdttd92bzZ6t5sxATfxsSoj5Kp61NaKpdSdLRVVPB/QP437tIuY8Zow5n7ERvnjaPP6FwiB1fDvDlw1boTo0C/CnF1qOKjR3+ULBiSDYt/p9TAI0lQQldG4wtXSm9w/gcBnMulDWvTJv2dnKzN5oEHZH2XlQlQOJ1W35WmJimKzExZSqmp0J4FxcChRKhZ7vkdOTmWX37aNFnJkZGqUGvq1JjskSuukOujsFDv2b1bfvHf/94CSs//Dj6pBT9/yPoEUrfrGsyGZ7JpvGXRItG/Jg5l927dj8sl2tvPT0xOnz6HV1AhIRqnwkJZZvb+TKYaJyhQ8je/0e/nn6+g1r17db/LluHAQSjpbGYs6U8/R4CxzP39Be5BQbAJCVK6r7xiWaqxsaKzs7KkJEz10JgY35u+wyE2oXdvff+hQ1Yp+oICZVA4HAJ1hr3yBegOJ/v3iyUtKNDfkyapoJmJMzD1i2JjBQQOHICovlB4APK2Q3sZhLRBwCFYej+k/wiGD9F56+t1b6WlurYtW/Q8o6PlLjj/fM+4CW9ZssTqhpyYqCDzUaO+Ogva4bTWfdoc6/WOls4qszs82ZTGPOvgE+v9Kf4waAD4ZUBjLJSFQFSrwI7DKRC7apXvzLHu7t3h0JxLSPDs39PQoGdrlDsIjDQ2Wi4lIyYj7qKLLNedPavLLt6M1NChXeN43G7NH9PbyUivXjq/ASx1dZ7Bt3ZmdMUKC7g4HFYPIQNczj/fOrepI/Rf0JH5fw+MAMyejWt/Li3t21jw9Dlc9tT7OII2qiLn8Ae+6qvrmZgUWDurYWc3Gg8pkBRUettX0ox/eFdW4wumo++J78fTnTQ3azMxlk5enkXJ5udbHWgdDv1eX6/FHRGhOIyf/lQL/IUXtDHV10tJrlwJn61RSnBcX21WmZlWwGl6J8XsckmZzpsnZVhcrCMoSEAgJES+exNgemVniV5va6hmFwQAAb2gqETHBltWwxNP6NoWLdL5Z84UFfzgg7IgBw2SlRUeDmedJYX+wQfw9NPalGbPPvJY9uvXFYzs3Kkiez/5iRgNuyQm6vv/+ldZnX5+uDL789am2WxgAnNqquHztapt4nZrPPLzVUm1slJpnH376jz19WJFxo8XaDFN2IKDBSaOVLxv3DjVPcnP17Xs3atA3dxcjc2aNQo0fvppUeJZWfrftGmHP29SkuZYaKg+d+21Gu/ly2XB7tljudrGjVOQ8vbt+v7LLoP8bfDaffDBAsgtgU33QsOf4ZLvgPMCyCtV/ERWlp5rSYnGZscOqyLyv/8thdK/vwCqUSannSZldPrpYvhOVqvYLwhiRumwS2t1V4BSvR3aahSnQmcl5Ejgo79rD4oarriUdDfURcG2MsvoCA8XKLnllp67p8LC9Bm7TJig9W3fU/LypMwLCjz7aW3erOfj3eG4O+PBLgYoezOgp53mmZpsKicbcGJnLYOClElUU6P31dbqMAB/1izrvZ98ov0jKMh3ttAppxzBT3nyyEk600+wOBy03/BtCn78e16rvYY5E88naMvNsO1BiJ0AKed+1VcosafA+gIdR0qBdQZAexp80A4TB8PMaRDVzwIdQXFfrc/S7dZCLC/3zDp47DHfZfSDgqRE3G5LkX3/+4qJuPtuKbuGBqtR4PLlUuajR4tS3b4FWsvhTODcX8PriwUs4uLEfLS3y6L95BMpCdOVeOhQKd/XX5eSnTHDd6aLdznuCbWqL5J5M0Rc7lm7pLFR7y8rk2skL0/KbssWKbKICG0oEyZoExs8WIrtjc5sHO9Uxu4kM1PKLStLf+fnKwalqkoMyIUXem7ybres1H/8Q4pgyBBc/Yfw7qZLyaYvQbdeAXVVylAKCZFFuXq17iciQi6J006TNe/np3OvWqXvdbm06V56qb7Xbrl6S36+6rlkZOj5BAZKkZ95psZw9Wqde+NGBZJu3iw3SVOTFPsIr6wqE1xpqn8+9ZSs1aQkzbeDBz1p/ZQUucA6M4o8gl7TR8H3XocDd0DWOigrgPh8aPol7A6DmHPgxkchvp+Vut3SovifIUM0VsYFlZ2t673sMs2zjAzV3OiuUd7JLoHRkDhFhxG3Wyytd8Bs7W7tYRVrwA+wE0YdEVAXraPhIFSPh8ihCmz/8EMLcKSm9mwP8/e3XDT266qq0jPKyLBez8uzuiFv22a9HhSkz199tWW4HKv4+1sF/rxl9mzLXVhf3zV+xQ5cTIpzS4tAb0mJ57lGj7bAyNy5WitewbbOoGgGEE02Gch6+mrkfxOMAAQH8xvux4Uf7X3OIKh+LRz4Kyy7HKYshfSxJ/4aXG3QkOs7SLQ+W+l3R5IvUmAzuzZoC0mFvz8PCZsgcDCM+NFXBz46OhQHYKwS87OhQQvzmWcspWjYDrtlkp4u5ffd70rhGDCSl6faD9u3C3hER1tdZhcv1u/TpgnsBNXI+gruA298pv9//rmUQEmJFL3ZHAIDZc0PGmQFrY0ZIwV+221Hvl+3C0qXqc/NgFkQb6vf4HbLynnzTVn3JiLfgKnYWIGQwED51nfuFIty4ICYjl27lGGRmSnL53AUrXEJ5ORoI7v5ZlnpsbECHHYg0tGh2BEzJvHxMHIkjqUr+T/+SgcOnOvXQEuzwE1Ghja3+nq5VX77W6s6qV22bBFzBXpudXV6ht3NRVNYa98+AZtvfcvz/6mpUt4XXwy//KWU++bNYr9efRW++138L72GMZzDNobj/7fn4cW/igG57jrNGXsTxfZ2fWdGhp7xmDFHBgP19dBvsNLD6zpgWRYk7YZtxdAxF+a/D5OnwLW/7srUtLQICM2fr/PU1GjuJSYKHF1wgZX91NEhRiUjw3fMz9dBHA4ITdORMtN63dUGdfttwbKdIKU+C/zqILoOovOA7RpPhxPC+0NOu0DK4lhwpUHv8TBwsMBJT4JU7dcVG9u1tP+558p1ad+rCgr03A4e9Cxqt3ChGFezR5n96ng8K+OiiYjoHvzccINiAe2AxfxeU+N5HeXlFsiyiX8b/Bj4Kb8HOt0/pgWCr/TmmBir8/VxlP9dMAIeaYcMeRSWzoO0XPj0Arh6NwR/yQn1RQpsN/U2epICGxjjGa/h4Urpc/gMoH37RHc6HIpx+E8BkcZGLeABA6zvfP55i3q1i9OpDdg04QIpH4dDTEB2tmjzefMs5qB/fyvwrW9fLTiHQz9/+1tZ5Vu3qhy5v7+UQUgIXBgETwOVUXBokRR/UJCUfVCQlG9EhOpznHFG10qaY8eqK21PpHqbgoD9w62sBVMca/VqK14BBCbS0+VeKi3V+CUmWixKYKDub+NG6xoLCnQtr74qAGVSSfv0sZqUgcZ2xgyrp4pJY/7b3zytxMZG+NOftNk6HNrkpk+H2lrcK9dxCmuJoE7jGdi5Qfr56XmY9gjLlula7IxHa6vA05QpiplYtUrj8K9/ibG5+moBGbts2aK5GxAg/3h34uenMXvqKY3rrFm6t7Y2/N97i7vZyjg2EPBorQJu//EPATp/f7EcJv3zmms0d46mYmdKitI8d+1SoGuWH9T2h+DdarbZUg6fL4fPp8p1dfV9MP5ysT3vvSeFMWOG7jEoSM+lrk6AfcECuXAuvVTP+dln9Z0xMZ69d/r0+XLVXr9qcQaop07UUOhzpfV6W71qAXnXR2kph7p9aulgJxQ6XoYDMbA1Vt23Z96iANrgzrTho933goO1x/Tvb71mYtby8z3nd26u5cY1GUNg9Zq68cYTDyKDgrTO7R2mfcmVV2rOeQEXV0kVJdRQhy2zKTtbILg7+f3vrbiVtWs1Lt6gJSrK0/11BPmfBiNfSF0d/PkJyJ0EjhJILYS3Z8M1S4/sp2yt7hokav7ucQpsRtcgUQM6AnsQge9LXC4rEO70049PzQNvcbtVgdTOdOTnW+WjH33UsjpSU7VxGwvCWBHJydqQTfoiSDHef79nHxXQ+0zmgpHgYLkGPvpIm8SgQaJWH39clkDv3kLxHa3Q/BkEAfGDoaqTderbVwosMlIW0dSpx6cqbclS/Uw4HZz+VmCiiUXw9xeFOnmy3Elbt0oRmQqs4Nl12BRic7sVr9LQoA2wpsYq2b19u+7HDkbeekub1R/+IEsnOFjKe9gw6z1lZWKmCgr03u99Twp0/Xp48UUcTc24cdJGAB2nT8Pp6NA4bdig721r00a9YIHu46KLrOqvAQGKy9i5U9k/UVECYyam4pFHND8vuugLIMHbb+uzZ59tMVWm7om9ZD4IFM2cCX//u5iGX/0Knn0W98JPuYj3cODGUePW95rMhGHDrAaWcOxZKg6HzjV0qMb2o4/0mv9IuGQ8fPy0xmP7dth8NfjfDr3GKB4rPl7MzvjxVsbT6tViysrLrfXQ3Kw1YpitqioL1DscYntOP11/t7drv/q6F+UKCIf4iTqMuN0qlmiPRanartRjmiGiXAf7YEnn/AmIhYpQCOwH8WMgcyoMOBOCjmFPNYGu3sHSV1yhNWzP5ikpEeDevdszXuONNzTv7WyvPV7oREtkpE9g1N4Av7jP68UZMzSvvdmW6mqxmvaU7G3bPGPhjBhm5667enR534ARkG88LU1W6bbpEDUfwlfAgnvgnF9BfY6PINFO0NFWffhzmxRYD0bDBjqCu0ll+7KyapUWR0iI+mp8WTF5/r16WdbY+++LsfAlcXFakAaMnHuurFyHQxvsoUNarJ98ogXat6+UIOh5mO/o08cKMM3IEOL2Hq/2doGQ+npr4q9erdfDw7WRlS6Dllq4Mg4CLwSW6V4aG48MQn7zG1nUt9/uqei7E7cbtn4CNcDo6XotPV1AJDNTm9f48dZG9dlnutaiou7PuXmzVd31//7Per2hQdaZ6Zpqp5zb2wWCdu6UQgS5J5YuFfMweLCU8xtvWCzRTTcJiICAXHs77j59uZ+r2cRYCu4vIeBvT0nJhoRIEY4bZ7kS9u3TNdTXW3UU+vbV33feac2hG27Qe9et01w991y9f/FiKWOTfQKiwV96STT8j3/cdWzGjZN1Nn++GllGR+MsKsCPDhoJIXDEQPwiOoOA775bm7/brTEdPvzLF6hyOLRxDxkiwFhSIjburJvgwEr49ffh0FYILYeKRTAwBWb+GIYPsuZyfLzcM7Nnd2bvdCrMgQPF3Pz+97I6k5L0zEwtHLuVbtjA3r09GZSettA4mcXhUD+dkCToZQPsrg7txTXboWqbAErdTrl/2iohshLIh/plsO0p2AZ0xEHIAEidBMkTxaJEDjy27MDISAFSO7hvadE8r6jwDEDOytK+Z2LRjCQkaH84miDdEy1m/vgSA3qNjBmj9ertKuro0LrvYQDt/zwYcTo6cDQVwMwM2D0fKkphXixcXAnlf4Dn/gBHYm+DE31npIRnCIj8J1NgQcj1vff0++zZvgsLHU7q6rrGdhQXS5neeacVF5CSosVmr4Bo0L73BAwIUADovn1SuvZgQdAiNeJwwM9+pk3Ue3HW1Wkjtscm7N3rSVOmpChdMy9PMQUdHfDBs/Ae0BgGTU/JlWMqMx4uY6G5WWNZXy9Xw+HASHW1LNtVK2H1MhgEXDFN/+vXTynC3lSq6TJ78GBXd4Vd6us1hvZ+J+3tUt6bNyvjw1updnSI6h87Vi4YUwTO3t123TopvrAwsSxNTYqrMCnIDz1EW0QvPvu1TunuF6Hxcrs1t6KjBeRMl9YDBwS4Hn5Y58zMVJXYhgYBfhNwN2iQ1YukpETKuKZG4LS5WayBAaSm+NX+/XqPUdTNzQJBmzeLLdi3z4q7iYmlqMHBq1zNjxY9TFhwhwC1sUIPHlT8T0iIgKFpBvhllLbDYRXrMllSQ4dC0ETIHAGJZZC+CqIL4fkfQ8kDcO5lcNVvIDbdOod3CfmcHI25YUaCgqQAhg3zTBM+dEj3v3+/DiORkbq3iy8++jTok12cfhA5QEf6Jdbr7U1QvROyl0H+GnU8dudBYAP4VUBrBWSvgezO9zsCISQTEsZCzMjOcvjDtX8f7ZwICvKtzG+5xVp75qiuFjPpdnvudc89p7Voz+bp1evkyK7yvobx4333gquvl0Haw/E7Ce7sq5M7Zz7Bo1feS9CiVr0wBNiLqisuAGahlNi2MEjo102vlL7gH9bNN3xFYqL3k5IOn+bocmkhhIWJQQAp0xde8P3+sDBNMCNjx0o5Gr+g263gyF27dA319VaBLpAFb4qWxcZ6Mh7eitjQ87W1Vm2ARZ1xHnFxSuc0TMbEifLvDhyojdyAr7Y2WdX33w9bFkEbUBUAbXW6tlGjjry4//Uvqwz79dd3/X9bm2IcVq0S0+N2y7ftaFXkf8wYvc/h6ApE2tvhxRelIM34dyezZsmyt4O4lhbFXdTWKuX30ks9PxMUJLrVNNBzuRRjUVmpAl+mWmxbm5RaUZGstzfftDaQ8HD841M4jYmsZIoAz4AButfwcAERsMZxwAA95/JysQR//KN+N+3kw8J0DlPTwzRYA2VJlJXpGvbtk7KNiNDnMjP1+sqVAiNbtmiemeBTf38Bm5UroaWF1h/9lPPvns4uhvKjQAeE4Fki3AQKV1ZqDFessDoaT5rUNaixp9LWJjbqk0+sehMDB+p+KvtAVRr0bYKSD6G+Dt55GT58HU6fAdc+An3GdD3nOedos1+zRoxfaanVDyY2Vs80JkaurkmTtPZM9+KCAs2PrVutFHTQOO3fb62/1NSj8u+f9OIfAvHjdRhvp8sF2dth76dQuBYGh0HjXgXPttdB4x44tAcOvWadJyBKoMT06jHHsVSQNjVR7AZNfb0MPrtL2u2WgdXYqDVkxM9PBsKgQSqCdzKLPfjWFO87gvxPg5H+SQcICmi1XohAaZ/zgQJgA5rIHQ5Nxoh+XbNVumvY9lXKkCGyTGtrLSVhikbZGY/8fAUYXned5Xc2FRANdWj3b0ZFeaJcf39ZmHv3WpufyZoAvffqqy0Ld9YsbQh9+x65GuXy5bL6i4v1d0eH1Yzrkku0yScm6jtragS6TJ+LtjZlhMyfr/e1lMsimhgEUd+FTxbo/o5EH7pcUswgV5e3G8ftlgvH7l4ZMACSAwV8+p6peJHuZN48KyDuiSeOnMHhHawYFiaA9Oc/C6iNHi0GBvT3Bx+oo3BwsJSNief5xS/k1gCBwCuuEKi89VZZ3iYFubOQnLNqH3EomM+xd4+u88UXpcirqqwibsnJGqPevTUuP/+5FHJHh0DDxo2aR8OG+aajZ8+2fM8rV4rxuPBCAZ5x46Q8f/1ry40EOv+mTYoVuegiuX/Wr8f/kw/Yy60onQmra7dhj0aNUhCrqV1iuja//77G7f77jy590+3W/b37rhUzlZ6ubCADRj78sDOdNxySr4bgMihZBaUlsHg+fLYAxk+Aax+CEed5nj82Vutn5kzN+dWrBSadTivw2+nUeIwZI6YHtL7z8gQQ7QBr2zYButWr9XdAgJ6bMRDGjDk5rPDjKU4n9Bulwy5uN3z4T9j0AfgXQViljtBq1UcpW6nDLqFpFntiAErkENVfORoJD/edgXbnnV0ryzY16Xdvpvt3v7Mybsx+HRf3tXPNOdxub7785JPa2lqioqKoqakh8jhFJjc0QHi4m2FpO9mwJIvg9myrlseK7bA0HwLa4Sq6T712BkBoH6+U2kzr96+ijofbLeUM1iZ18KBqKfh61AEBVgdMsCxlb8XX3m7VTJg61VIm//ynpdhA6D0tzbK4xow5fMR/dbXFfMycaTEiixcr4NP0/4iNVWxFWppYESNPPy1Kc/Bg5dGDFElursBGTAwMKISAl6HvxRB0j665d2+973Dy0UcqDBYYqOtxOKQszz7buv+5c6UUjEWdkADL5kDBhzDmMRhyt+9z5+YqwNflEn17uA7KJhW3O3nxRSmVxEQBgB07FOTa3KwU2KlT9exWrJByqq5WHMmMGSqJ3l3xsbY2KCqi6WAhA89MpYkQim59mIDKEinxXr08gz8NiJ05U+Px4IMKoC0tFRh2OqXgBg9WJsp55/kO3jt4UAGp27bpHs48U4r4r39V7Mv06Rqvzz5TCiLIHfLOOwKvN9xAW0Iyl796Ee9zEfWVrYS985I28+9/3zcQam4WIFm9WuP9619ba3f9eq2l/v19r+eDBxV0a2q5REcLRHU2GfSQ/fs1r/bs0dx8+GFY8zK8+XvYs0/vGQ+cOwOG/AR6nd39HtLWJtbJuF7a2zVf29oETE89VWPt63737NGaMyxKY6P1P39/MVqGKdm61epY7V1L579J3G6BcLMf7d8N7kKIqoU5o60Mn8Zc3593+EHEQE8GJXqEApa/bGVvwzrn52s/Mq7L+nrfcVQmQ2/MGDGqhxHpQut0x/sR91R//5dB36MVBzvzh9ORPBzsD2CqG8YvgPGDoPh12NaptJLO0sZQn61+Da42qD+gw5d4VDjN7Bq8+mXdOx0d8rcb5Lx5s6x0f39Ru4a279XL6r/hnc2SmOi5WTmdmuylpRbbkZ2t87e36z0DB1oKbNgwK7DSVDE9XECgKeFtjtJS63+mjwdoEcXHSwGEhUlJbNvW1Z2zdat+GkagvFyKobIS/vIXWcsLx0E1kHYhxHcu4rw8rbzDuUdeeEFgYdAgBVCabp6pqVbNkPPP13cYheHqgNLl+t3e48Muxj3jcsniPxwQqa1VPIhJJfUF7K64Qm6T0lIp7JdfFuAICdF8ePttPZuNG7VJnXKKAiK7a0lvpNNadsX1Jh83d/GEQMWYMRYjVFBgHQ0NugaTll1aqufQ1uZZat3PTwyCKcgUFqafZg5v3qzP+fnpeR48qPtqbNR8S08XG+Rdzh0013/7W3jmOc5jPlsYjaPMXyxAW5tYj4su6nqvJivr1FN1j+Z5trcr1qmhQfdgQKe9Rf1nnwmIBAVp3Z19dvcAfMAAWb3792ssAgNh6rdhyk3w9IOQNx+GbIbiT3XUDYLEq2H2PRDgBdwCAjxjQCorBYQKC63+L9HRcmNOnuz53sGDLYvc7RYLZta6if8x8v771lgnJlprvW/fI6/3r5OYis5paQLAbrfGsqzMs5XCL38KDXvFnkTUQFwDBJWCu16F3Gp3Q+6/rff7h0HUMAETu7snOKHLJRz22nwVSQsOVlC2nUEpLBS43r/fM4uypUVrw7uyrPMoYwpPkPyPg5FuxOGwmIL4+6C1EvY8DoUr4NTF0G8KuNqt3i/eWTYN2dBU1NntsjMNzZd01/slPLNr4Kvpl2FqIdTWwr33WgDB7ZZl19Ag5WkCBUGb/R/+0H0ga12dNk/jhpg3TxuQt4SFaROyt/GeONGzgJS32LuM7tihFFK7OBxaFKZgkRHvYkT2BnlGWlsVgFlaKuULck84ndpoL7tMz6R6myyTqkxoL5bCKi6WdegLCLjdClpdtcpSTAaIDBrk6a7xdt1UbxG1GxAF0aN9j8mCBdrcIyLkxjJjs3ChwNZll1nv3bRJ12PqUfiS0FC52h58UMwICIhMmSKlEh4uxdTaqr/vucdzrHsg01jKQPbpGr7zHQsoGnG7NY8KC/WMVq7UHG1v1xwICtJ7goN1lJRoY6yu1tgGBGhs/fw0pn5+Ym4GDdJYrV8v4Pb662IWoqN133feqXu3y5gxuMafAi+s40wW4078lmrX/OMfmttpaYcHgPZxbmmRItq4UcDoww/FhmVkSGGNHavA0JAQZcP0pBkedA1SXbcO9pSBcwK0XA1pe6H8FfhsL5T/El55AmZfC5f/CsLjfJ7yi1L+ubkC7+vWaXwXLNBx5ZVWOXq7OBz6bGJi17XsdmtOtrVpnZlj3Tr9PzlZQeJGqqp8Z7x9HcWwsnaF7nbDtFmwt5+UfZFxS7shsBH6OGDWSKUcV29XS4j2BqhYp8MuwUk2gNLp7okapq7KPRV/f80l+3zq6ND+5l0TxdQtKiz0YLMDQqP4Aems5DSgB9mCJ0i+ASM9kcY5sORlmFYKyy+BXrshLE5Fx8L6WO3h7dLeJPbEXlHVXmm1rVoVVlvKoMLm5nAD9UCVA+rjVWmwJgQaAmHkcLj1lk7AkmRt2mlpUgSmnfnjj3fdFO1Bnbm5soAMRVterqqiozp9qb17a5KbFEFjCcXHH3mTqajwZD4mT7Z6qPTtK6BgutoOGCCF1pPULxOXkZIiBbF8uaxrY7GFh8tyXrVKfxtLJr8TVMVPgQ8+1SI1tSp27/atlPLzBUbS0gQCBwywOq/6Kt9sF1NfJHFq9/FExm0yYYL1XFpapJS9a6ts3Kifh1OeoOtasULXGxamGJeZM62Mm7g4Pb/MTIGSo5HSUi7hXQDa51xCgGEFWlt1H5mZVtE5Q8Nu2WL5t/v1E4OUnq75kZOjz1ZW6u/yclmfubm6zuHDNRcTEgRcpk5VTNOiRVKEUVF6Nvff322Advu5s+hgExNZhyP3DLFBeXkCfP/6lwBpTwBZWJiAzFVXyUX36qtS9AcOWFlml1zSFRAdrSQni/XZuRM27YMtfjD29zBuOaz8CKpr4ZW/wNv/hBmz4ZpHIWlA1/OYjKk+fQRqt2/X9W7fblH7oMybmhqN9eHSSR0OKwi9oUHPzuwbOTmeTKXLpXgkPz99vz29+OtaPdZbHA7NuWnTBEyKi7Vu9+/vdF2OhqGdc6GjA356N6QHQm8gph4c+VC7UzqhuQSKS8SAWV+gTtHerp7w/j2PT/Tz6wqiQHvn7bd7ZvOUleGoqWE4NezGNj+KisQG2xmU1NQTWmTvGzByJCkthVdfh5bpsPV9GF0Gb58L1687/CL2D4GowTp8SWsVVO+H4l0QUC6AUpcFz3ZaM24XUNZ5dMquDbDoRf3uFwwT0yGxH/i3wD/3QHgQXDgJQnzEhuTkaCM1PUK8xd7TYMgQxWL0JICtvV1WkgEfJnjPiL1DZni4Cm4dy4QuLNTizsqSdVpXJ/rez0+L5fHHrYqgYAXkGjASOE0bh7+/FPX27QIsJtOkvl61LkALb9gw0e2TJ1vKtidSskQ/E6d1/56ICM9aIWAxPibt2eGQsjApmvYI/NZW3WdRkWITQKnQfn5S4E8+KWv93nuV2WGKqw0fLmWXlXX4zrF2cbsJeO1fBNLKHgbjOv0MvV5Xp+90uRR8a89Uqa7WfAsPFwgYOVKsgXEjdnRIUWZkyF1kYpxAz7mpSUdOjue433mnqrxOnqxn/7e/CVBefbUVH9V5zf4fvY8/7eSThrtPX71+8cXagHfvlgvvvvt65iB3u5W5M2+e5vvYsfoZHy+XjZH9+/W+yZOPvrdMnz5qKpiVBR9/LKZsw3ZwxsH5j0PIfvj4X1BWCR+9A/Pmwuxz4ManIHKQ73P6+1vl7b2bOC5cKHAVGalnNHnykcFZWJhnTQ232xPYVlZqPrS0aIx377b+FxcnUGkY5/8GcTisQmgGnNjHIy8P6hthd+MX/QHxT4OM02FAb+gfoiBme6XZ5lLL9Z8/1zqXX7ACZA04Me6ekOSe703BwdoDjIsZoKWFtv0FvPZCHvsYaL2em6u5aOKgzP0mJmq/PfNMyzV+nOQbMHIkSUyUT/6NNyBrCsQthvSN8NFtMOe5np+noaFrpVJTAOoXv7Det/ZRTYSEcEgIhOgOiGqCiAroyBdoacrvrOy6H4r3w2ogD8W9bFsES26BimAYlg6TR4pJaYqD3SshIAJikqHfAMty6dPHk53oLsXPVFytqrJoQadTGSfNzdbffftaKZveE/ZYgEhLi763tFTWv0kNra+X8p0wQde8f7+sbKdTFH9LJZSt0DmKUoBibaRDhlgN3P70Jytgd9o0/XQ4FAh4tFSzq936Pl9smXFh+JLERN1DS4vGNzbWctFkZurvAwdk5W7YoPF2OFS2PjpainbHDgXFmn4umzfr3EOHqhT8oUNiqQ5Xz8Rbli3DcfAALQTxEt/i12ZMTMptaakAp2HVQEopLk7KcMQIAaC//MX6f0SExn/FCr3nqqsETn7/e4GN1lZ9JjFR1ubEiQI/KSlWo8B77xUg27xZAckTJyqwNT0dSktxbt6IC39e5EZ+VlEB734i9uKWW1T1tbxcn7v99sPf/6FDirkxoDoiQlVPp0zR+NvniKnb8sknVvzTuHFH1zU1M1PXlJMj0L1jB9Q2wC2Pw9W/g0V/hLf/CDm5UDcfPhoCaXNg0I8h6fTuz+sNuhISrLTLTz/VkZ4uUHLKKT2rTeRweK7n+HgZMYWFnvFmxcVWpV4jtbUKkrWn9/fqdfIU/ToW8R6PPn0UoGxniqurrTowF14Is27WexsbNddSwqFpnw2g7FDqcUcjVG3WYZfA2E5wYsvqiR4OAT1kooKCcGdkshwv42TwYM+6KPn5MhpMMz67O2/nTrGW9liUpKSjThX/Boz0RKZNE0BYBawuh+gt4P4bbJwC47zoWdOJ1t7n4sknPfPF7VJX5xlX8b3vyaI8HCvR0aq+NhV7Ye67sGqhFneKHyxr7AQqzRCwH9I6LWs3qqMSD4QDoSkQkAFVGdCW4VmszaQsm8A2+2KqqtKm85vf6LxOpxSi02mBj+NF5TU3axNLTpbyKShQeu/kyVoMJhBxzBj9XLRIP/v0kaLMfhncHVqoawtkbdfXyyK2N4vq1UvndLu1KXzrWzr3VVcdXXpj1WZoq4WAaIj2Sh/MzlYK3rhxAgbeC9XPTwvY+HRjY8XYtLTICv/5z/UsjMTF6ZrNeS6+WMrY4VC677Ztupdf/EIpu9C1lHpPZMIEXDsP8PYLA6n0aAiCQF1pqSzgUaN0nf7+UqgPPgg/+pEUtOneGxGhrJjzztN4vPOOrvfKK7WBPfusGKvHHtO9v/++nsm4cTpXeLjev3ChxuiUU/TdtbVyRa1eLaB18CAMH8PHXEgBqQQ++n2oLBUjc/PNckk+++yRrfSNG61eRAEBArjdZQCBrrOx0WKfsrIEnkxmy9ChPQe4fftaoMTp7CwzHwBTb4XSeLisBYI/gqIPxf59/D5U9IHLfgjn3HFkSv+ii8RW7dypcdu61VI8a9YcOdOsOzFMZXq6VYOmuVn3YY8By862vm9FJ4APCrLcOxMmfPnOuF+1mNpCSUliar33U3sA+e7dmmtOp+5/4EAYeA6M6QeBAZ2xbzYGpXq7+vS0Vqq6dOkyz+8O69O1NkrEQPDzinHrTqKiuhYzq621SkLYC7plZXVlwvz95dZJS5Nx1AP5Boz0RBwOlWQuLNSEWlgOc/Jhy3fBlQTNwZ6Mh9stC8EADGNlxMd3rd3hXarZTjcbcbksayMoqNNy6QdB6fDOI6oqmtQbhgyX9ZieDEkBkASE1VixKtGdwbXtDdBUqMM7fx4UOLstDrKCoCVEKNs/QqxKcLSo3ZYWC3RccslxHGy0eS1ZInARFqb00759ddgn9qOPKlDS9EExdUhMldL89/Qz4Eyh+cpKWdr+/lIovXtLcdqzYZ55Rht0UZHAyNFId/EibW3KnnG7tVl3ZzGkpFhgJC1NTEhlpayooCAd48YJhAwYoA67ubkWbV5fL6YnNFRjOG5czwMqu5OwMNpv/A4rfuDD9TdkiAIjP/5Y8765GR54QP/bvl3W1aZNAgGpqQKARrGa+i2nnuqpdJKT9Z6GBo1XaqoAwNNP63+zZ2sjj4lR4aeJE/X9c+dqo9+yBUJDcffrzzxm4saJOzYePl+qzXLZMsUrmSJqLS26D1/PZNgwzfUhQzRHjlQIbfRoHTU1VkPEwkIxWQUFngxoT8UbQC5aJEbP4YDxc+D0u6HqX/DvF6HuEDx2F7z4G7jwZrj45xB8GIbDz08utJEjNd7r1+vc9p5ILS0ChRMnar0cS2BqcHDXWhr9+wskG/bEVI81ijolxZoXRUUCS2YP+E/1cjneYg8UnjLF83+trZrTVVUC0wcPyi1omOZrroH0i3QY6WiGmt1WsKw5mgo64xUPQeFH1vudARAxqGs8irs3X9TjOZxERgpAeWfhnXKKrt2Ay4ICq+XHoUPar3og34CRnkpzs/z8jz4KHWfBP94E/yZ45zpIu0A55kZM6WYT7HjZZaKIe7qIKis9A0wPHbJ8kX366OGDrLULLtAGfMcd8mUfiZUwFUJN5s+h7bB7myb/qS3QnKuU5dpihas4gUQEbFI6fw8Oh8Wv+ui1k/nlUpabm5UmuWiRVfcgLEzjYU+lNOLt/3zoIVnNEybA1o3wykfQB+hIB/aL4TIpnJGRssDz8kSXOhwCfW+9pXNddNHRF30qXaqf3im9H3wgqjoy0rMKpl3cbintvXvFJpx5pliy/fstFsBes+X99+VuCAlRhklNjQLOWlqsjf6VV9SHZswYSxns2CHWZMwYz4BGbykulkX3hfKxbVZFRXKPrFsnBWZAVlCQ5mpqqq5tzx65A4YMsWrcpKToedbW6lnY02w/+kj1PWpqBKiuuEKMkAFju3ZpbqSkiIXZsEFsxVVXKQ7oySf1/IcNo/1bN+P6tR/gxjV2PBzstNxMh+a8PF2/v79Yt44OAbv33hN7YwIAH3ro6NwsIABoUnxNZkuyzbff2irQO26c5urRFHYYN07jv2WLxn7DBhg3CX55Ayz5I3z6IZRVwPOPwRt/hpmXwVWPQHTq4c8bFuYZmGlk82axTosXa9wNK3kcQO4X8SygtWe6dGdne2Zq7dxp1RByOMRkGtdORoau6+tePdakjHsnAFRUCDTb58j69Zq/AwdC/yEQO8bzXC2VXQFKzQ6xtjU7dBx6/Yu3h/pH8vkvhvPx5vPBfQ9wlGPp3THY7ZYb1LAo9oyew8j/eNEz/e5R6MXeKtoe41FbK5q9okIBe0FtsO1F/Rw0BU77kWcPgZ76Ppua9ODs1uG992rDtktwsBBy//4CIHaxu3kOJyb62z7Z7aV6f/pTyOgrZH1gHZTug9gGaMm12JWmwiN/T1BC1/oq5u+w3l179TQ1WQWsDAhJSlIGxoQJUs4gq9MXc2SksNDqfFq0A4rmQ2YUDHlQSv4737GsPpdLxYIaGxWImZGh2ICf/1xjvWTJ4b/LW1zt8HasykrP3Awxo/W6veDc978vK9Qu9tLee/eKDRk82GIOfMnnn+tcra3axK65Ru4AkDX/f/8nBfraa2ICYmNllQcHC7gsXapCSFdc4fv8xcWqaDpsGHz72zS0B32xVppeeYfg5Qut927Zorl3zTWKpXjvPSnIBQukOEaNkkXd0iKF/5vfCFiayqAmpuhPf1LtEND/f/Urz0yZhgaBs82b9dn6elmYv/+97sXp1LP8978hMZGGU6ZzScJyxrGR+4vvICzCqRTU4mILxBYWSrHv2SMQNXCgGJ3evS3wGxFhVZg1FVW/rKxbpzRjsNiJU0/VePdUqebliREycUEOhwDrZbPh7V/AR69CTZ3+NzgQbr4NBv9I9P3RSHa21f/IlBEw3YonT9bzPdF1RkxGUE5O1wB50L5l5lFFhdba17ACqU+pqNAzsLtL/vxnGRSged+7txWj17+/ZzA5KBmiPhsK56nUffnqbr+u8ZwCQuO7iWs7Rvmm6FkPJIhm2vHni2H49FNtpvZAKyOmkNPgwbLe/Pwg/yzYfBU4Pod+V8HoSw//he3torDsrEdxsRTHE09Yi6d/fysF1R7cZV9cJuMCugcibrdnA6bPPtNmbRfj4x84UNaO00+AYVQ3QY4eKcvZvrsYf5GyvM7HODohJM2zvkppMLz5udxAqZmi4sePt657wQKBs9RUCyA88YTVCO7QIW1W9mZ7rnwYCpw7B86/U/+zF31yOkXXb94sizkjQ8XCQNb20QARgMpNAiKBMRDdCThaWy33zOTJnkBk1SqBioMHrddSUxX7cThac+dOxU+0tmounnGG2Bw/PwGtm26yFNqll4oJqagQ0LruOj3rpUs9v9cuLpeKvZkuze+9h2Pc6YgWA3dGJqzy13ePHas4lSVLtAFGRUlxZGdrbgYECAglJGj8AwMttjAw0DO4+YILFFB62mkCLN6bVliYgMfrr2s+bN2qcz70kMYrPFzr6IYbYM0aAn79IJdQixsHjtoaSErV//74R937xRdLkb7+usBIY6Nev/BCPfuSErl96uoEEk0zRjsYMeOekqJn16tXzxTzkCECgqtXC1SYQm8REWIdZszwjDnzJenpYr/y8wVKNm3SmEYmws1/geufhI9+C+8+B4NLYO9TsO8ZiLwQet/Stdx8d5KRIRDf2KgYmlWrZKnv2KHjkUeOnO7+ZWXECKsFQG2tZ++dvDzPgOyFCzW/IyI8yxL07Xv0DNfJIL4KnU2apPvbu1eGrEm3XrgQwlxw9xVQu6uzk/F2pRK3N/g6OwRE0xE5gufeGMEnW2bx7wuPLxA5GvnfACMmqNTGdARk5fM0pTzOj8GkNIWHW5kVJvjGxHakpFgUudkohl4JDVthy6Ow/UcQPAAGn2N9px08vPGGArWMdWGX0FBZeia25OabD4/q6+pkbZ97riwq8163W5be3r2d5Yz3a9Mzbp3MTG2WBnwMGqRFejSWzRFTlqt9g5SGbGjIkZ+zKhf250Lq0s7rRplAKUD/ICh9C5Z1sikBaZC7UUAlPtS6z7fflitsyBAp6LfekuU/Zw6cdy4ceE/9YcZdZ7Wx95ahQ6UEdu3Sgt+3TyDlttt6Ph5GSpfoZ+IZVunn998X8xEd3bWx1ZYtUn6m/fzkyWJ+AgIUb7BjhzYdO/2Znw/f/a5YgqQkgbH33xdDcMklcgvY501QkGpEPP645t7YsRYAyMvTXLc/+/Z2WeyLFslVMmIElJXhdIQAcwBwDRuh8xmXo6Fhhw3TfGts1AZpgIjTaQGLyEgps8mT9V1z51puqz595KbpLtsIpOzvvFNulEceEbiuqFCcyk03aV0+8QQ0NuJod1BKIq9xDdendLoohg2Tr37ZMn3eFGIbMULPKTlZhoCJFWpttarMFhZ6KjO3W2NqrwtjYgJSUrS+fBUYA63zs87SkZ8vULJ2rdb1p596MkLe+4i3pKWJCcvP96TyS8qhpBf8Zh0E7IFdv4eSxfDRu7DvXRg8EK78qSq/9oRVDQ317LK8Zo2VNWXkjTcESCdNOjKYOlaJjLTiXKDr+JjCfnV1Yg8MgwBaM/ffb+3jRxrbk1XGjYNRQ1RQrXAN5K4U6HDlgH8DLH3ex4f8IbifuhLHjbbiRUJSaW508IOTIOP6vw+MdHTIujOb7NatKnLU4IkMHZ3kRy+K+QKMjBwpejghoWeTtKoK5gXDpniYWQ5vXwb9/gjldUKqpo06aAG0t+tvO+PRp0/XNLojffcHH2hDWLJE1t369VbhHXtXXdBrBoz06aM6HyeyAVZgtHyY3n5MUJfSee/A0k8EWqZOBHeBwMp52coQcrdA7R4dAKVAMeq6+sq7kBUK+0Mhr0nlsXvtgQ5/qCyDoFAV+kptgt2lCrqNO0y6o4mZyMqyNq0JE7q2/u6JfBG8Os16behQuZiSkzWv7r7bov9Nnv7EiV1ZmGXL5K6JjLTASG2tQGplpRRDa6sVS/HTn3rWu7DLwIEWe7F5s9wpkZE6X26urqGuTm4h0xXW5dLnYmJg1ChcA23A098fgm3zx5TPBlmkILcbWCDEVKnNz1dcy/LlAhL5+VIcpuLs4YCIXQYNEsNx440ap3nzNBaBgWI5IiJwXXYND3Mb7XhlD1x+uQDD2rUCGWPHCsgVFirDZskSWdqnnqrzmQJi3uJy6boNUDHl8E3qY0eHBUbcbgG4mBiLRUlJkSJPS9M1XXKJQHVOjqeP/W9/07kmTxZo6m7tetcIMS6czZsFcme/AKNLYedt4FinPjgPfQdSH4BLboPzfwoBPcyCS0qy6tsYqa3VvHW5BJAHD9Y1jxnTtUrx8RTvvfKGGzTH8/M9GejS0q49t/7yF4FuO4OSmHhyARRXh2qO2OM/qrdD/UFkxXWKs/MAsc7RIyB0MLy3ERpioDFKb3A4IK0VBtbBiDoYcvLc69cbjDQ2do3tKCrSZDR0akSENgmnU5ZVZ1xHW1w6d7+QRj02IBAaenRU3sGDsvSKkuAPVZBeB5/eBQMv00PPybEyHaZN0zX1FOj4ErdbwOOTT8TiXHmlNioTLwAW/W2YD/tG6nR+NXn8DQ2y+D77rLM+RgxkDofUmz03UVcbNOR6VqotWgl1W6GyEd5rAxqhuBGagMgG2PcT2AS0o4aGB8+D7M5p3dALbr1ICv+673TtspyQIHBQXq7nVFam3PqjFVebrb7IdM1Lk5nQ3GylvK1bJ6sePHuD2OWttxTrkZpqBfeBzmMyUZqb9R2miFx3QMTIxRfL4h83zipxXVCg+duvn+a8CWw1hbLuuUdzyM8PdzcMr4e43WJ7GhsFRvz9xYw4HGJRamrETlZXS2k5HPpee2uBo5GoKGXZLF8u5V9To2eZlgZhYTi3bOZBfsUnzIKOU2DdRinl4GAxioMG6bsNU5SQIFfRhx+qOGBy8uFBqZ+flbpq7r+uzgIndmagrs4qXmeXoCB9z/jxYrWMxW8s9sZGjanLJaMqLMwqUHakzJY5c3SNGzboHFu2yHD5v7fgljJ47X5YvhgKiuGZB+GVP8AlN8Llv4GA8B4/hi8kOFgp5atW6V5NqmdwsObdtGlHV9/my0hAgGXsGWlo8IzDc7sFZE1VWSOhoQImgwdbRRD/E+J2q4WIPXW3erv63HQ0+/5MUIJnVkzUCIga6vn8+ldb1WH37bN6meXl6d6HDIH2dvqShxMX0M/3d/0H5OsJRvLyhGp9BTOB1ccEBD7uv1+L3kZJuxtUdf2I4nbrARqUfcYZlgXX3KwNNy8PXCmy7EdVQUoW3PC8p6I9FtrS5dLmZibSvn2y6EyJZlN47NRThegHDbJKuZ8M0tgoP+aSJVZRtLQ0xYSMHt11M3UGKGU5op/GfMHbsCAI6pKlQAdkwqBkWLkCmnbAkF6QmgHvrAIqIM0NLSXW+bbth0P7wbEQIn7V2WW5t2cGUEIN5JdCn0kCeccCFCs3yifbHgP/XgWb/mz9z99fwZLeMSPdyb59ov7Dwz0Zk8REuSP++EeBJqcTnn++ZyxOUJDmyvLlspQ//dQCI2B1ZC0pkdX7y18eXcxMYyPMny8w09qqdZaUpMDgsjIponXrpKg6OsSYDBsmtsAX69ATKSrSOTZt0rXOmSMl0qsXfPvbOHdsZSKFDGY3QeeXQ1y0Ohmb4O++fcVULlyoNR0UpIDpvDwp7iVLjo4hs5fD985SCg5WwLFJ2y4oUExYS4v2FHvsTGOjnrNhUM4+W5/JypLyWLJER3KygK1hPb0lOVmxHuefr3m9fr0AzdatclXdNx9uzYU3HoD5b0NVLWz6IwS+DANug4G3Q0iS73P7ksBAq9FgebkVSF5ervT7Pn0sMPJVuEfCwrpmLd13n2dxttxcjf+uXZqndjDyxhsCu6YZ6Jdhe9pqVcjMO+OltdL3+/1COxvtDfcEHj15PtHRYntN4H5NjUDiggVaQ08+SeCeg/yMNtw4oOZ3EPYlM6WOUU4SrXWUEh1tARFDddo70dr9mJ2dR3ssTU1SCAZ85ORYtDNokRswMmiQggLPP19Wf/Fm6LsZei9W5HLf7x37PT7/vKxV+3eXl8vKio+3OvKCqMmTUZqaNOldLj2b88/3DUKg0zJospipkBDdf0ODNvgLL5SbIiwMFs6CoDg45wdwxnfhVzMgsgCuuhVOS4GVVwBOqBwOIRUwzAGO4s4uywc7Kc5OCUC9oTreg7du90xTtjcvDMvwbTE2NloumrQz4MVVUvgTJyr24JRTjq4vhynLb1x3n38uRs00L4yJ0YZ/441HBgzl5VLWmzdbZZ3b2mQhOhyeRdTOO0/fPWfO0QfvVlfLnZCXp7nYt682cxN0eN992sxdLinY//s/xeUcC0tXX68g88WLBXDN3DC1ZqqqYMoUXH5BpGzfymi24CiOhfaWrqzn3/4m5VxeLjbV4VDsyZIlx9cqDgz0jHMAjUVpqYCGfb8qKtKcN1U6jZjU7+hogZiiIu0Fpt6PCbr3jv9KThYImz1brpt16wTYAGJ7w20vwU1/grkPQ8B70HoQdv4GFv4eGqfAtb+G/qce3f3Gxwv0zZ5tVQ22Z4OsWCFwNHmyWJMT2O+kW3E4dJ3x8Zai7ugQw25aGRgxINCI06l5bNiX/v19l/93tUHtXq8U2+1KAPB5TU6IGNC1WFlYRs/70hxOGhsVJH7woGeSRuevyziD648mzfw4y9cTjEREqFx3SsqXjJB2M5Rd2qz6dWZa5ObKd2wXA2hMjIeRhASLdvfzgyX+sLRMBdEO3AmDp0NsN4GeoA0pN1fgp6xMqZFG6uulnIODNdkzM2XhxMVJqZ/oCPZjkbo6+b2N2yAuTnUkevXSRuwLhFRXWwWiIiKUbgtSMtdfL5dFW5vGOSxMCigvT+859VTL0gSYfSnUvqbfHadB8BDICITv/wEC/K0uy/bg2g2r1axqar3cPiYP35cExQukONIgJxD2NIEjAs7J1v8TTge/7brXadOUFXE0UlkpZepwaMN7/HGB0oEDLV/2mWcqKNmXIjdZ+macFy2y4jhAc+jgQf2cMsWqzAoC1r/85bGlaSYny7p3OERvz5lj/a+pSYxJR4fu48UXD1/fpDtxuaTE3ntPymHvXimMUaN0P3v26LtbWiArC+e2LThxUUYi0TNm4HfTtRaL0NIi98XUqQIjy5ZZdVeCgxV3dKLFuI0NMDDSp4+YETOvDZtSUSGWbfZsAd2NG6VIf/hDrbOmJin+CRMUGDthguezTEoSmD//fE+wuWmTmIvZ34c+v4OC9xXs+tFa9VlafhqMHgVXPQATLju6e3Q4unaUBa31rCzte6+/rridyZM1B7/KeA3T4M8XW3fRRRaDUltruTqWL4fTp8DFUwU2KrfCoc/BnQsN+wVIfElIilefmeHqPeMf4vv9RyNtbbpOE5BvdFRIiOZSW5v22s504Lb0Qdz6Qi/AwfNfISL4eoIR8CyKc4xyGW8zg08J+A0wepjARnKy/NHDhh1dUZ3LL9fm0dEGy9+DOVWw9ho4e6U1wVwupSMal8uBA5b7AmRNGCt6zhwtgN69NaG2bROtHBNz8jWbqquzUupaWz2DGn1ZmG1tosJXrxYlapRoRYVnQ69TT5WyKSqy6rDs2qVxDA1VgKhJx01O1ncufL/zXJ0gcORIy/IK662DM/R3ezv85AyoDIAJ34FrZlsgxR630pANTVWwtxwOlEPuOit2zAn0B6KAf/4KykIgNh4GZ0L2KxarEtLLyrLpTjZt0oYRE6O5sWSJNr6CAiktY23axe3WxrN5s8b0W9+yNv+xY+UOGDPGqtFi6p5s3qw03IEDrfE5VurZ4ZDl294u0NHeLtAxcaLmRUWFWJJFi47NCs7KktLKzdXfLpdVC2T4cN1Pnz5iYB54QMrVBdsZwSPcx6o/jCbQbvAtXaqOz3FxGtfCQgXWmlosRjo6lAqfmuoZH3Iixd/fYnnt0txstQkwmS2m4Fx5udZFebnYlNde0xq66iqxIjExAit1dTKgDJB1u2Xg5OWJhRw2TPPrnNUQ9Tq88Shs3wFbtsKWyyGzD1x+J8z4wZez1G+5xQqWttfZiY0VC3j++SdXEGlYmAVQmysgf7UAR9kmaN4H/q/C+90EVrmD1XYjeiSkToL4MQIeQcfRmGxr07o2sSHZ2VbWZmSkrt30UbrxRo2zrVREj2LC/gPy9QUjx0GKsVklO3fqMBIUZG1AbnfXNEhv8fNT2uXLL8OcO2HtWVCxGdZ/Dya9oAf/+utWAS8joaECVoMGeQIe766qI0fKB9/Y+NXQmr6ktlZumGXLLNqvTx/f6ctGPvtM2UB299OAARZl612lNizME3iOHWu1cHc6tUH7+0vZNpWooI8bOBQItFml4X3Jm2+KjfD3h9BwWLTD0/1lZM0aeOMVqC6CtjqIrYN4NwwAUgqhIw8KgW3VQDWMKIJ92z3P4QyC8L6eheDsbqDAGCm/sDBZ/GvWaBz79BHTdOutVrXZjg5tPAaAVFdb37NliwVGBg3SYZd+/cTYLFqkLLOODrk5zjijWwVgL4vY0M3G5ew7BP/3PsLx1DO4n/ojfjt20DHnYjrGTSCgzUX7OefR3h6kQOOjEL9PPsRv3kf6IySE9vMvxJ2ahv9rL9Fx+hm4xk4g8N/vwoFDtB4qh+//hKCcfOpuvoOrrp3V5foBjW9kpEBSR4cUeXy85oPd5bl+vYCLqSVyHAygY5bg4K57woQJYoMMi7Jhg6553z49qHXrtE6GDtUc+sc/tIcZV3NqqkDNzp0ydsweOHSoQMlT22HvMnj157BmJWQdgt/9CD78Lfzo19D3OvA7hr0oNlbW+syZApqm+WNlZddOza2tJzYbpzsxpda9A0q9iz4GAi7A4Q+Rg8GvL+xvhiJ/qI+BlnC+qF7s2APXjoPTO4FIe/uxJRWYHlBGnnyya92gqCgricHlsnSLSag4CeV/vgKrH+3U7swntDTHouFKSkSFn3WW3lxUpDTdtDTPNDDvQmQdHWI+9u6FDR/BymdhJjDsXpjxiNwRb7whZWEmSmrq169TZVOTakLYQUjfvrLchw3r3qoxPTveecdq9DZpUo/LBXcr9fUCabUfwLpboG04rOpMzXz88e43s1mz9LwN6IyKUpXdujr9bebazp0KHI2KkrU/ebIVN7TzEVh/PyzqB37DYUwKnJ3iWV+lMU9VEA8nAdECJQVRcM9aqGmG4ACYfir86e/Qp1MRlperRoYdFQQHi3kYM0aA5Uhgta1N6cDr1mmjuuEGxXF089xKSz3LnXjLTD6hiWD+xA/IIJtWAnDhxyfMYjlnMI4NvMNlLOKcw1+XDxnCLn7I06zkNOZy8RfZbwG0ciqf81MeI5YKtjKGd7mEhXRl4kpKfLj029pkGCxYoDVrMomefNJyr7nd8Pe/yyUSGSnmxB5LcLJKU5PW5tatUvaDB4tJWrLEd0FHUGaeqXnS2ChX1qxZYtoAivbA6/fB4o9hUquSLoJ7QcZtkHHzkcvNH0na2nS9UVEWmK6okOtw1CixpIMHH/+90u3SWvXokrsd6varyaYv8WhC1xlUGjHIswldS4uYPHuAbFUV3HWXZSBs2CAG0TQHNHrFZKHZz5WVZSUy5OXBH/5grfN33tFaHjRIYzdo0FFlbXZbjfw4SU/19/88GAEfD8CUJDfxKGvXKvDHW4KD9dATErQBHDxo9ZAB2L8c+uyBs5ww8m0YeoEQ6rFQkGZye/tfvwppaxMlXlurxTN79uFBiJG33lImR3CwNrlRow6f+bNihdwM48Z1tQp9ycJZsGEexFwPKZfKgvDFdIAs3u99T9//wQei+s135edLIZnPulxWTIL3ZvjZOfDOIqg4DTKnqlutN7vjahMg8S4CZ342l+p9pcDjQDkypsYij5IfMCa5s5x+X3g+G5wRMHosTJwOo8+AwKO0UDdtUvB1QICeyWEA4eHASAiNPM0dTGIN/TjYGaeRwBZG8yduZzKrSaaIZ7idnQw/4mX1Zz8xVLEeK0skkRJKSSKAVtoIZAB7eYDfMJ71AATQxhomsYchPML9ZmDnCwABAABJREFUXc7pE4wYaWvTPHvkEavuyCuvWHPZAFFQnZiTYf31RNxuKa0PPxTQio5WZdvKSs9YlIICDdBDD2mQysvht7+V+2bYMCnIlBSxKampEBUEriWQ8ydozIftwJYAmHYOXPMIpPcgY6ynsmSJZ9mC6GjLGLBXU+6pNJX46NmyEzoafb8/MLYzpsOWxRI9XI1Dj0VqaqRozJ737rsCw94SGSlQlpKiWMKcHO1BdrnzTqs0QHv7sesVTh4w8j/tpulWvINiTzlFFO3+/aJBS0uFcpub5Wttb7cCSltbdfTqBWH9IacUqiph0w2QsgXie6BUvaW8XKWwm5tVPOvLNqk6WqmuVlqm8T0GBMiSCgk5urboJnujuVmZDKGhVt2EPn26nmfTJlHoyckCI4cOyRU2bJgsA5fLWtht9bDzU1gMDAb+74LDW1HPP6+fw4ZZsSslJXp2qamemSZOZ9dOlQAdrVD6uTJyQlPFMPhqhugM6HTNZAJndf1/Wz1krdE91S8FZxsMDIcIP1hbB0HtMLBIdQjKV8FEIBxwLoQDv4WD/oqFsWcA2V1AQT6spDFjVAytoUFz+TBgJD7eSvIJDfU8ld8/XibwkY8Fll1BuFNSSJo2g1nrVnPOtftxbi8Eh4PrHkqB2G6/Ampq8H//HZzr10JwMK0PDLLN8yQoLyfw1w9CeTnOfbugvQMcDlynTqH1+3dy1V/+CK5c7vt5KSQm4nZbNkWXHosdHXKD9e6t2IwzzxTIeOIJBcabG6yqUml8UEzMV+mm6anU1sp4WrXKs8SB2y0gYrrG2mvYGGUGGqxzztHaqq/X+WprFftTXa0xe/JJGHEn5L4JH/5Ya+WDj2HBx2I6r3kYhp/95e9l2jQZO6tXy/KvrpbyXrBAIOnmm32j5PYGqN7p6V6p3q4WFb7EGaT6HB4BpSMgJPn4xq5479um9cPevbq/+nqNZW2tjJ/YWGs/aWgQwztmjILP7engJ0sphy8p/x13caKkrU2o1FQ3NSlR06fLjVNQIJ/szp2ixwcOtIqS1dWJZqyMgz/Vwul1sHcq/Gw7RMUc3XXExSkILSdH2QT/qVTe6mrVjzBl7JOSrBgMe6peT+W226TVTA2CqioxFEuXilq86y7P95vN1LhEVqwQO9TRIYBw3XU6349/DP2qIa4NwiOhLVjPqjsrdv9+AZ3KSoGPZctkDpgiVA8/fHi/hJHK9eBqgtMT4Iw/++4s3BOpqIerf6p7CY6B/mnadEx58REDYEo/aCvoZFSyrODaxkOdKctZOnyJf5hvkNI/DnY1iQIeOLDby3M6D8MszH0DWpoFTEeMgHPOwW/pUmhqwG/nZgX4hocTkBbju0t5R4cs4A8/FEgNdMBppxAQ5a8WASBF+tufw9y3pDRjY2HoYLjvPvwmTCAAYPgg2L2bgD0bIUPBhl08Ku3tmneffKK1OXKk6n+AQMmTT1rvbWtTLaO6Orlnv/Wtkyuo0pcsX664NGNFmwJ2kycrU6g7cO6tzM45R4dJIc7LE3PocMhN8OqrijMaeD2c0w71L8DBrVBTC9lr4N1zoF8qXPwd+NZ9Xy4wum9fHZdfLoZn9WoZgEVFEBluxXXkrAX3Qajd0bkOfBH+Dgjv51UobDhE9Afnf1AVNjdLb+zbJ92Sm6tndt11AnOm1k1NjRX39eabcmOZnkD+/gKGxrUzduzXHpR8va5+/35RUyc6F7qlRV1Es7K6BmNGRGhxOZ1W1Pv06db/x44Vms3O1m64ZAnUpsCyPEgvgNevgVvn6b0HDggF9+0rsNHdZudwiIn43e+0GKdNO/ZiUT2RqiqBkM8/t+6/X7+jrz/hS5KSlCU0Z44W4urVAgb27AG3W5ZdZaXG2VCymzbpZ2fVQHbt0rOKjISXfwMbgeYECKiUP9YORlpblT0ydqz+njhRxX9SUvTalVeKEg4O7nnadPFnnfc07eiBSEmJvqeuTiCsuFiKedIksUUm/sOrWF8XcXUoqM5XBlB9ttKZ27tJWS4DsoB3/g0Mteqr2EFLaG9PXzhYXaLb2rRRVlQovqqxUWvD1GmYNEnPIbkbC3PvXinPoiL9nZEBV1/ddW4vXapz+/mJnbj7bilDu3IdP17Pc+/erqm57e2aZ/PmWfWJIiJ07d0V4DpwwKrOe9ttJ0/QuBG3W+McEmKlB/fpo2eTmakYi3Hjvlzpg6AgCwwMHao9YeVKjc3jj2t9xcTA1Aug/zjI2w37N2rMthRA1kOQ+D6MvAd6XwZr1mm/M8Gz3rERh7vX1hLoVQrTG2FgFRzcAu//DVwtwh3vAi0olmUAkJLk5V4ZIfbD/6uro0FRkZi23NyuUdVm/zC9w7zd0medpT3S1L9qaJB+ysrSZ+yB+lu3WmnK3q1GTmL5eoGRP/1Jm11srEDJl2QIHLgYxk78Ps6GILfVbyEoSJtWe7sUnQk2HTCga9Cqt3in5e3aJdfKgQ3gOgAR82HpYzDtJ7Jk1q7V+yIjrVRiswHYW0FnZkqBrl0rlGynk4+XtLUprmPlSguEDBigmJDjXQPA6RSoGDJEBafsgXV79+pZ79ihBVVYqPs3ZdVHjxZQamnRGI0fC7/dqM0oKElMVXS0AEZWloDNxo2ySH78Yz3PF16Q5REUJABi0hzr6o7IFACdsQT/UlxH4rQj36/brViUTZtk9RQWytr72c8EsuPi1Ovknnv0+7PPKpble99TbE234+gHYek6TMqyXTqaVWTJo75KJ7uSegCohcIGqFgvpsdbHE6V0Q/PhNC+8GkR7KqEpx+H3DYpv7PPtnwixm3Zp48U2L59vv37VVUqZe9yCbhccoln08fVqwUO771XvvXgYMU83Hijbwtw7FgBXTt9DWIq333XKgUeGal086lTu7fYFyzQZyZNgp///MQ1fTsWqaqy6vIUFysV1gSZ9u6tjuJfNiDcl8TFqQ7SrFmWoWKKsl14oQBiba3m9cbP4P3nwG8P1G+BVVfDsp/CvHQIHWD1wAkKEjAx4OTMM1WdtEtcxw5orfK8nkiUxeIXCgGDIbhVvagqY2FLLFQP1HwaOOE/r5AbGwXY9u6Vvjj9dL0eFWUBkYSEL+p8MHCgdNrhxJ4Z53ZbsSQ5Odo77ZmY771nscqmaqzRK717H1stof+AfL3AiLEkTXEouzz0kKwA7067hxn4y3ibs1iM33zk94+JEchJSBDQiY7+8o2Thg4VcPjrX+FgKxzMBX4ONbN17vR0uXtqa61yzSBl/cc/WtdfXS02YfNmuSA2bjw2V8nhxN9fcRnt7Vogs2fr54mmp4ODPWMtTG+T9nY969//Xs9m926r7PSbb+q9Q4bApnegqQUIhJRBkLdWi/7OOz3ruMTFWUoTPH24pmBXQYFnELIvaWyEF1+A7BwIBa6Z7vt9LpeAjWlYZm9fkJenDJbycoGqtDQpPrNxmo6yhYWHByNHEr9giBykw1va22H796C5CobNhqBKT4alIVtgpjEPSvJg+TI1LQR4/gwoALKckBkPlSEQFAGDQuGcBJgzEyYMlbI0/WfsLERMjIKEW1ulzIwFn50t8L5mjd5fXKx1OGiQamZ0NxdDQ3275errNYciI1Wf5/TTD+82KCkR8HU4dA3jxn31YKS1VfNn9WrFEhirOiDAE5g5HCcGiNglJkbs1XnnCZSsWmX1PIqKknEweDBc931oLof9z8K+Z2BlHuzNg451kDYIeo2AsDZo2AGFVdBYC3Xt0Jjr+3sdfhAx0NO9Ej1C7J3DCRd2CAivXi13Tl6e9oi33rI6Wp8oaWwUMDNul/x86xn172+BkdBQsWzp6V9uThn3bWJi13YAbrdVAbmkRPtLeblAOUgn/uIX1vsrKiAoFt8+1P+sfL3AyIMPagHm53tuSg0NFhI8cMB63eEQMh0/vmuxKLzqjIB8oaCqhiZgsa1NC/7LKOSxY2VRfNQBtYvBkQMrLoVz1+q6Wlu1eEwKWE6OlLMdSD33nO67oUHvfeYZePTR7inwnkhFhepNXHihNhHjDjJg5KuSMWOscYmPF+rfsUNMhr+/FPaGDXrvpEmwojPiPqavPtPSojHy85OCGjfOCpK9916BBOOusctNNx25uB1ogyvZBxEdcGqi6gv4kpIS+dqNBATI9XLggJRLZaWVlnvJJZ4WnImTMS6MEyH+/jBkuMYjfkbXzq9uNzQWwT+fglffVNZBcAecEw/DWmB/Z8py/1JIARpRYG1/oGQFvP1tCIiSwiiLg5WNcO0s6DdWr82ZCQGdIKS6WqDzo48slsw0gwsKknFwpHne1iZWLzpa7Bko2M/pFIA9kkVYXi5XaEaG6q4sXaq6Qb/85Yl3DR9Ofv97q+owaE6feqrlEv4qxICSiy7yZHBfeUXjOHu2DIXhP4feV0DbfRAzD4KaIXYnRO20uswaMXZCSCqUBEJNBNTHQkMsNEZDdILWRb9+KoxmFz8/gfZRowRA168XMDl0yJOZq6qSQZuefuz7pr3mlNstI8K7W3pSkvZQ72rDPelP9WXE4bA8Bo2Nun97erG9NYrLBfffT2Crm+eA17ka3GfwVQGTrxcYAU18bwsoJERoz969Ny9PE6SoSKyDkdZWePBB/ONTiSONF7iR66/uIKChXEoiN9fTX/fhh5rUdkrtSK4aXzJnTmdZ99/A/HHqxrj223Dam1anXTvFbLfOXS4BBwOMzO8PPPBFm/cvqNqeSHm5/OerVunckZFWyeCepND+J6SyUkrlmmsEJu+8UxtMQoKUdna23tfaCnOXQAjgl2pVZi0rE6j5xS8sf/8LL+i+V6yQ0vK2kHsCRLZv7+zGWwRTgdTpuoZduwQwAgMViAZWFlBiopTj4MEC1G+8ofsLCVE2z/DhXYuzGTBiz4g4EfLDH3b/v6IixbNs3QqEQsYwgStTOGlOG+RvB2c5lO2ERa9CUw30j4KWPKUsV9bAvC1wqPOcL66GGbbv8E+EZWHwWQ20OMAZCBl94Kd3QUcYvP+h3FeHi+Npa5PbYN48ucEaG1V7wcTbnOHDfeUtLS0KWG1okLL69rfFQhQXy8K++eYjn+N4SEWFMivOPttiPUaPFls4aZJA9bEGSp8IsQORylxY9RHUlcDqFyC2AYZWQK9G6TfvhLRWoBIIjIdTb4S0OZ2ps9FyRZkU5IICaKgSkKiq0nqzg5EnnhAoS03VkZIiN9z06fq8veT+kiVyw6WkCNBNnHjk3lH19Z6db5ub5TI0VU3799c8seuI/3TGoy8JDbVc4SDgZNzvOTlyk9piV67mdageBeFfDRP49QMjvsTptHyPEyfqNbdblnR+vudkKyyEqiqcpVWchwL6Al4HwgI1kS+7zNPaOHhQYGbDBssat9X1Z8qUnkUxOxzWJj7lLVg0FXLegooYuPCvXd9vV5ROp6yj0lJNoilTdB8GcNldD263rLuEBMtPmJ6uTbm8XHERq1dbEfdDhvhuZf9Vy623SikEBHgG0s2aJUVTW6t7eO5PUNQE0YC/Qz9NTRj7pu1yqUw2aCM7HFXf1mZ1zrVLY6NVfr5fA9QBnznhjR9b1nxQkNglYzn99Kd69i0tKqA1f76eQ2SkgtIiIvR8jSVvxFhzxcVWwOh/Wr73PW2+fn6ygu+5x3OuOwMgbbTuL+0cKB4skHfWVbqvu34EJQXQNxYS62FUFIxzQluu3EDtddBaCsuAWsSqnA1MKoKyK1TV8pxUaNsPa002UKaVDeSMFrBcsEBrHXQtcXFaq6ZD75HE7VY5+Px8Xff3vqeN/MYbtZbWrhUL4f2Mjpe0tMjtunq1xhukQE367bnnnlwl0tuboHaXOs/aG8A1FcEkVHtkN3qmOUCiE07vD6PGd7pYhkFONrz1V9ixC0aVQ+wfoGItDL4bUs+3+lsZaWqyaqPYg3JbWgQSwHJxg+ZsUpKem30eGIOusBDefluxQcOGWV21zbrds0exXXv3+jYIqqstV8stt5ycmSzV1RbTnp0tg8cA89BQzyrYwIvcyHXHI0nhGOUkHMHjJA6HLGvvwU1NhXvuoX1/PstfyCONfAjMF9rOzvaMwygqEhJPS5MPrqFBD7i2VpvHvn2eVtfOnZqgR3KdBA+HFaeD/xKY9HfYMAXGX3/k+0lK0mEAV3t7V5dVRYVFya1bp9eczs4040oFSsXEWCWfvQP+ThYxLdmN3H67LBnTLC0sTICirQyCAEIhvxBa21XVcPJkgQkDLBct0lgFBHg2iPOWpUu1SZ16qlgZu7z5ppReeSkc6NwAe3dAYJuAz5gxOrz9+NXV8Oc/a1OorJSynDhRoCk/31KCdomP17W2tQm8dJtbe5ykvl5jZb/2++4TBf2b31idTY2YbrHr1ul5TJ0qSrisTMzR2rWwa4+e4ZizBWYM27Npk9jNwFbFqLjmwrYtMCcF2vMUq9KQo5TlpkM6SryuNxtYGwBt4QpcjE2AGZPhnOnw4SbYsKbnYGThQoEXp1NxPEbJZGQICMyfL/fDwIFfsjGnTdxuK5ts82aNJ2i+DBrk+T1fVcChq0PPx7teR/2B7isKJ2TAJcPBfyBsaYctpeAIg61OGHEdDOuMn0gDptwBe5ZCwT+g7E0oWwGbV8CWeLjoO3DhAxDU6R4LCenKHoNAx513ehZxKyy0evlkZFjvbW/X3ExI0H5v6kWtXq02FYMGqfidwyFgY+/Um5JiGaADBnjuTScLEGluVpkCs//b20SA9hijrxIStA/27UtrQDS3vtCpQ75CvHuSjOJ/UDpTp1xJmXTayTz4mIuAxjIxDXafWl6eZ9ChEdMboH9/Cwi43er1UVMjJWjK8g4YIABkBwyHDkFHf9i7C2JLoP1WSBkDKUeuUOkhtbVSsmeeab0WFSXq3Y6I6+q08EpKdH/33CP3QVOT2tKbXPXjVN32hMiCBaLhQRvDjBkCHLu/DZuLIWcklHQGdpn265WVYlL8/KziVVOmdO2UapeYGAEAk7lTXi4Lafx4bW4OB5w+ED50QUI4XHSNrK+0NN8AND8fnn5a8yIyUkDp5ZcVnBwaam1w3mK6uublCRSfSDDy5JOyBMeNk1K8/Xa9PnGiFLE3K1NSoloshunLyVEgXVZnnZPQUCmFoCCl2d51l8YmP1/AZtkysUe/+IUahn3LBnSKi/Wsrr0a4vy6ZgCZvwMLoKENwqpgVBUMzAW/jbLGC4A84Pm/QFp/i0n5osZKppWyvHMnzJ2r777qqq4u4Asu0FyaOtXTJfFlpaTEs65JYqLVHuFImRXHW9xuaC7xZDmqd3RWJ23y/ZmguK6t7qOGQYANVJ+GtUetX+8JaOvqtE8Onqaj8bew94+w+I9QUg5//S28/gzMvBKu+BVEp/i+Dn9/Mbt2dtftFsgoLPQE+cXFUtiHDmk9VldrfVdWat7bU41HjBBonjlT6+JkSpF1ubS+srO1xoxx6ucnw8Cw3g6HdI/JprEDOYfDYt4a/qNX363874ERX+J0WqyDXYYPhx/9yIpByc/XhDab8+TJ1ns3btTG1tIiC7OgQAvQ319W/JQpClI0573wQni3FVa8BTGNsOB8uGY3BB2F5fXJJ7LoysoUmGmqo8bFyTK95BIptMpKWV9798oXbeJCcnJ0DiOxsZ49Enr3/mrqK8yfL/r0zDOlIOrrteC2bNGYT5woxqshD/ZvhwkOeOQ9qHFrQW7cqBiCXbtg8WKlJK5fr2dzxRWH/+4BAwTSNmwQM2DAaFSUlYZb9S+xMSNnw2kXdn+ubdtU6bWpScrmzjvFePQ0sn/UKG0mJ3ojDAyUxfjJJ7rPSZMsxeHLPbR1qwB5S4tKyR88KGBeW6vxv/xyMSapqZr3DQ2qS/Huu1YsVH5+1/O6XAJrOTnw4ccqSBaWDlETlQbvmAJndwactDfDxHnQNwhaDnnWV+m9G3IaYU8VhB4mZTk4FcrcMDAUEodB+iFV1A3P6Ky+6dT6/bJp9GY+1dZasQ69eslFGh+vOW0yeE60tNULZHgAj+3QUu77/X7BAhn2VvfRI9SXpifXGxmptgoXXWTFZLndCsB3u8XOjhypCsZjfgdP/Rj+/QB89DrU1sOb/4S5L8O0c+HaRyBtxJG/0+HQXuYN6kw59vJyuVzb27VfRkYKQNuDS2tqlFq/YIH2wgkTxJb26SNj6D+5L9rZ7uxsxTXaG5MaMBIQoL0lPPyr3b/tYtKQeyDfgJHDiXcAEGgSFBZqM7UHexYXyzo2ZZSrqwVgTC0MO3JvaRE6D4+CiNNh4SK4JBfeuQiuWdjz65szR0r20CGlIWZmwscfSxG43bqWb39b4GTGDKsBmJGwMC2w7Gxdf2Wljo0b9f9rr7WayNXV6ejV68TELzQ26l5WrRKAKCjQpnLVVQIFq1YpSjwhQaBqwgQo+ECfjZ8MIUkKYgWlHZ57rizvpibF2zQ06H5ff11AbfJksR2GDq+uFi1rQFttrZR0crJFz/v56Tl+ugaigKTpvu/F5VK5+82bteFt3mwBESPLlonxmDKlaxaLkZ66Gb6MrFyptPP8fN3v1KldO/16y5Yt+hkcLAaprk7ZTiZOKShIYLGpSc/tgQesmI7evRVHY5pQ2mXRIs3FkBC5yFpaNE4LF+o7goM1X0NDwT8Ypl7s+/qiVsM//qb3nH6OV42VLLmAOpqgKU9xKuEA+2DNXOscziA1RDNMimFVHL30ekw3TJgR089o1SqNl4lVmD7dmnM//OGJAyCudqjb5+leqd6ucfApDlUitZdDjx6hiqXOHgR2H0nsweGlpdpvWlpUTyc9XSBt9GiISIRv/w2uewo+ehTe/RsUl8LCj2DTJ/DDa2HoT3Rt3Ul1tVzo+/aJ4TCp8RER2gcSEsQKmPpRfftqftkzpqqqBMxravQc9+zR3hEfL6P15ptVpRbEtpSXa2/8si6bxkYpb3vhv8cf78rQBwd3ZTvAMni/apk/X0ZLQYHVePQIckwj9+c//5nHHnuM4uJiRo0axTPPPMMp3vnOPuSNN97g6quv5sILL+S99947lq/+6iUgQBPFu0rklCmyBO3ZPJWVFjixsyhvvimqPiREwKYpXgvu7EXg+iFc82TPFL7JgnnlFdVZSU+3PjdypO8N3y69e1tpYM3NVhEdg8Dt/tbNm5X6HBRkdZk0x7EGPbndVm0AY22DlFhcnBQPaCNoaND9PvOMgNdll0H4x2pJ3//crud2OLS5LVigeJ/YWCkCU/vj4EE9A9MbJyVFCwiseI3BgwX4ysstBd3RDOWr9XvitK7f294uNm3xYgGZjg7dz+OPCyAZd8vy5Zor6endg5ETKa2tKpD1zjt69gEBsrD+/OfDK0hTFK6hQSxGVZXG1uXSfWZmagzKygSKly/XnIyJUTzG9df7nttFRbJEQVb0unUCISZlMj5ec70nlt6oURAYAlUd4DcRhniBFuOW6AJSOn9vzFNlz7p9OowUAkuBXsC5UZ6uH/OzKQo258GGLZ4+++RkzTP72B4PIOJ2q2GdR6v7HcrWc7X6/kxwL0/3SvQIiBwC/scpHuZIkpSk2IxFi2QA5OWpdEFampiS0aPFEF/6K7j4IVj6V3jzcUg5CDkv64g7B8KugVOvF2AwNT727xfYMdLRYYGRtDTV+RgwoGvsj3f2y6xZ2j937tR1rl1rGWzFxZ7BnwcOaF8yfRNMETeT2ZOQ4HvOm5g/+55bUqJre+IJa37072+xHYa1Tkr6agOaa2s9s1eLiuD++637LCqy3LY9BGhHDUbefPNN7rrrLp577jkmTpzIU089xbnnnsvevXtJPIxfOycnh7vvvpvTTQGY/zaJjrYCGI00NAgZ5uVZ/nXQ4omJ0U+HA+raoDwA8tsg7hnw6wdX36H3trfrAXcHTsrKtGCamrQxXXihrIyjLRcfHOzb92qksVGKoKXFsjrs93777ZZS7a7Eti+ZO1djBPr85MnW95xxhr7X/H/SJFVmBRg1EP76G6gH9myFc1+xUmqNjBolMNK7t+J5goLE+sydq0BYM64lJbLezztP4CAkRDEdjY1yLZhWljNmQPkaKaqQZIjwii+orhYTtWuX7t/l0sbodIqlMeujpESL2FcWjbd0dFhtc48XI+VyqUmX2SzMmPv7H75FL8jdkJWlzaasTPd52WXaQE3AoMkAGjlSY3HJJWKGugv+dLkUJ9LeLtDx/vtWhlhCghTDxIk9S70Gfc9pp+mefIGXpUs7N/bJkDC56/9dbVLw3h2WO/ZA2x7IboK9NZC5Baq2eH52G7Ae8AuB8GgYmQGnjIGB6RARCB0l4Eo7tl4ordWebe4N8Gir9v1+/3BbSfThFusRfBKkBoeHaw6ec44FSvLzBUpuv12ubNCcP/N7OsrXwZ4/QPbbsHwhrFkIvX4GFenqFmwYHIdDa37gQDEjRpzOoysgGBSkeLCxY7WnHTggpuvAARkWRpYv19qPiNDcLy62WleA6hdNnKjrqqjQOlmzRgaeKQhol9BQgX4Tw3fTTSdHJtXatbru/HzPchlGSkqsLMApU6TzzH5qGpMeRo56RTzxxBPccsst3HTTTQA899xzfPzxx/zzn//kZz/7mc/PdHR0cO211/LQQw+xYsUKqr2jfP9bJSzMd4DiFVfIzZCXJxfLqlWKL/Arhfo6qPsDtF4PgTGyqOfNE5ofNUoKecwYa2OOi9PGWlIiJXLFFcevDoF9AZx3njaOoiJPJF9QoIVorwMxd67qcRgUn5Ghhbppk5TZD3+ohe5wKC6ksFAKMT1dAO6tt3Se5GQtdJdLn6+rEzAICADHAXC5wREOofG+F3VGhhb2oUPKqS8vtyqyjhihzWnqVF0naHNsbtZ7y8o0pn376vlNm6b3lHRG2CdO75rF9NBDclsEBOhZmVTwO+7QuY0YN9jQoYcvpuV2q8x2Y2PPm/f1RJxOAb2iIj2LG25Q/ZADB8QYdfc9tbUqtGfcjw6H7vO22+TqWbVK4/fQQ7LmgoP1+pEyUBYs0DMKDRX9/Yc/CLgZEHIsIOzaa32/vm2b6rz4+3sCRLs4A6ygV7ucBkR/CB/MhcJ2zaEtGyHDCX2bBF4GZ0FJPfRvgt5N4FcE1atgne08Dn8ITbf6AHkzLAFRULfXqyT6dgEkX+LwU4Vd74DSsD6KezmZJSxMTNjZZyv+aO9eT8PNgHlT4XTfAAi/FxK2gv98Kf7sYijYBmecCd+6H0aMPb7BxqC5PmCADrux1d6udRMVZYGglBStgz17tJ4WLIB//1uVhc38y8nRvhcdrT1m0CCB99NO61pT5z8ERIJoxpFVABW2GMnvfte6nrIyGRfmmpKSLGY3Pd0zRsceCO4LuPiQowIjra2tbNy4kXvvvfeL15xOJzNmzGD16tXdfu7hhx8mMTGRb3/726xYseKI39PS0kKLSXUDant4M18bMcGyJpfe7ZYyy9kNn1wOYXmw/Co48xMprpISHUuXKhshMlIMxpAh6rUybJjo9j175GrwZgiOlzidFv142ml6zXT2tC/+rCwrrubDD7VhVFdr44mMFPAwDNmUKZ7fYXL64+Ks1FGQcvvsM/0+YACs/UQNsgI7M2O8i4aBvnvjRm1oNTU6h53BGjCgq6LbuFEgq6jIupbrrrM2hNKl+pk0zfpMdrbcGy0tsqL69bMA1VVXyT1hFwNSfF2zXRwOAcvcXF3LlwEjBw+KYjaBqXffrbgMw2ZlZmpTzcqy3GPeEhSkTba1VWMXFKTzvfqqAHNbm+J+GhoU9HkkaW6WO+uNNwRErrxSY3f33QKSxzs2qbgY/vEP/X766ceWoTRypNyie/bA9mytwcgh8K079X+3G66utDEqWZ7BtQ2H5D5p6PzbO2X5SBKSBjEjPWM7IgeB31ccqPhlJSxMrK5R9OvXK9bm+edlaPTurbXgcEB9MDz5AVyXC2/cBwvehcYW2D0PHv4MzrkIbvkjhJygDDQ7OOjoEGO6erWA1J49lvI1JdtN/Ft2tkBwSorWSlKSALvDYbn2hw+3lP/Bg/qscfccb4AFsGcP/guX8TD5JFJKwJOoNYqR/HzrekaPFugyrVaOtRtzN3JUYKS8vJyOjg6SvDbFpKQk9uzZ4/Mzn3/+Of/4xz/YYoLeeiCPPvooDz300NFc2tdbjNKJPx36zYcXToHGhTD3W7JEFy5UytbevVIEVVWyEnJzVQciIUGMyH33acJ//LFV7OxEp+uagmR2ufxyxcWsXCk0XVenRet2yz1ld03Mmyfmw7Aopvy5oft27NDPESMsYDJ2FKz8CJqA5E72o1cvgbXNm+UqCQ9XSu3+/WKRIiOV0pyRcXhLY9QoBY7u3KnzRkRo7BcvhnGjoXG1AmVN8OqaNVbasHEz3Xmn7nX6dD0fuxQVaYPx8+tZEa2UFD3noiJPF2BPxeXShv7ss7qXefM0Nk6nZ6zK8OFy9dlp7eZmgVtTnA0UfLpqleZhWJj+b5rQpaUpjddu2fqSpiYBy08/FesTGipXj8kKOF61bzo6tGba2sRuPfus7mnAAM3Rnorbrbm1cqUUhr+/zmk6bl92mfVeh0Npr0FxEGerWdRcJvdK1TYV96ra2lljpfno7qkpH1xNqm5raoDYWZWwPl27LJ/M4naLsczJEbA1a3PNGs2zxkY9x4ICMY4XX6w4LqcT4vvCD16Dm6vhnV/CB/+CymrY8iZ88D5k3gSD71Jg7vG83uJiixmePl0M3syZMkCee05sSXu77mvAAM2PjAyBCn9/AeH2dhlJ9toohYVWLR6Q0WIMMNDeaYBJaqr2jyO1A2hv1/XaYxkvuMBiLmprcW7ZhIFt7uhoyLSxHfYkjbS0o4tv271bz9XeouUwckKzaerq6rj++uv5+9//TvxRuA7uvfde7rrrri/+rq2tJd3eCfe/WQ62w5KRELoRJr0Ga1xQG2kp65Ej9Xt2tpSAoflTUvTg160TEIiMFIpNTZU7YPBgq+T7iRA7dRkRIQu7Vy8pgYkTrZTZlhbPVNVlyzybHtbXiwVKSdE9ms6go0crmh0gsRlaWqExAJr9tJjvv986x5YtUhRFRRZQO+UUq9fJ4SQsTOcbNkxjOH68lZY57004vU29M8IylQr7/vtS+EOHqnKnv79cOmVlijvxxbyALOqeFND6MmXhCwvFnBlDIDlZDJx3ZVno2hV0/XoVf6up0b1/61sCnrNn61necYdAEuh5fvvbOkyDQ19Ba42N2lwXL7ZiQnr10jlNs7XjKRs3igkxFmpJiRVIe6T4E/t8djjkYjT9jk4/Xazm9u16znbA394INbu6ps42d0OBOAPFrHwRSDpY5dDbG6ExpyvD0loJLRU6Kjf4OKFDabL2DKAv6qtkQEjKV+u6MameJu5s3z5r/Q8YYAXDT5okZXj33Zpny5drzixZIiV3/vlam04nhEbD9U/B1Y/Bgieg8jXo2Ab7/wKb/gL7x8DVP4dxF3dzUYeRxkZdo3FN5+R4Nt804MC4nMPDpbBramQYXX65ZVjt2SNAO3my9mNTNby7hqcpKdqHOquGf3EYA+0Pf7DAyJo1AjcpKZqjmzdbAMfbhT1ihAVG+ven/eLLePKFdPJJ47pfhRN4GM+xh5gq5wZMVVV5lk6YP1/3fKTGo51yVGAkPj4ePz8/Sko8F1ZJSQm9fBSSOnjwIDk5OVxgS1F0dRZk8ff3Z+/evfTzYQUFBQUR9FXnR39V0rcvDJgKi7JheyUkvglpF8MZ52kB2pGzXdxuLYatW4XITVGfnBxRiEOHeoKRZ5/VJmoQcGrq0TfdamuTD3T1am0Kt92m12Njhb5NG/nu6HaXS3EoZpGXlmoxh4UJyb/yiu5p925N6Pp6XfPupZAFNAVCa44V7Navn9iD4cNVohlkuTzwQM/vqbxci93pVDnwujq5LaqrYfkjEAZEna5A2n//W5+ZPVv3bubs0093r5CDg6UQe9px2WxkRwtG/v1vK6XZz89izo4U2V5QINBnQGBiYtemglFRlqV60UWaa6YBWXi44lBiY/V9BnAdPKiMA5OFEBYmNvDOO08M/QwC7v7+Aujx8Rr3732v+7otbrcAx+rVAqA//7kFNM49V+MwYYLusa0VHr4HIltgz++gtTPGo+4A8h/6kPDMrqmzEQOOLpi1rdZ3EbgvgmybFFvSmA8s7/p5ZyCE9e0KUgx4CYw5cTEKK1cqY8o7ZtDPT/tefb0FRiZMsFyK48YpZm3JEgW7GndbWprnfugfAOffA+6fQuky2P0YvPMJ7NoMmy+B/hlw2Z1w1m2+05VNyYWICGvd5eerZ5FdAgOtjEJ7ooDJ+DLinazx+ecC+evW6T5Nr6HuijCefrp1jsZGi1U1SREHDliMR1aWlUJbVyc9EBKidRYTI7d6797a6+0xjLGxuM48m72+r6CrbNmiuBEDQOytSEB7oVnzI0boPqOilHl3BDkqMBIYGMi4ceNYvHgxF110ESBwsXjxYn7wgx90ef/gwYPZvn27x2sPPPAAdXV1PP300/87bEdPxe3WhP7udyE7C9Z+DH3bYdwKuPYfsgC6E5OxUVmpYMSDB6VEd+yQkreDvsZGsSchIZookZH6fEKCJuuIEd3HDbjdVtDt+vXWZHQ6tZkYq9u7q2Z312yvHtvQ4Bkc27evJndWliz6wYP1ffNXQxkQEqDFduONij0x6XmbNlkZLQYg9VQSEtTM7uBBq/PnuecqI6Q4Hw4Az++C0u0W/b97tzaN22/Xzz59uvenzpght4epkngkMZttSUnPetQ0NgoMfP65/u7VC377W8sF0p00Nckd9fHH+p7YWG2sZ58tsPHAAzr3rFnyIaenC2j+4AdS2nl5VjaBaZ1gB7dpaVI6KSkaz4ULNY/ee0+l4k+EBAfrGrdtE8i84w7fWWa1tcoUWLXKE/Rt3CiWq7kY4grBbzts/5dAR+0u6N8s//pBr/MFJXRtdR81DAJ8MFJHKwGREDNKh7e43Zb7xhuk1GdDY67iVbxTlr3PH+YFUL4Isu175PRft1tz1bAeZ59tjXlQkICIv78UuQnuz8w8cvxBSIjm3plnCpRUVHgCkYMHrTgjh0MxXUnTIOkzeO1BWLMaDmTDb++AFx6GC2+B8TdCYYm15xQW6vrPOsuy8Pv00dy1lzNISTm2eKazz9Z+tX69xmH+fB19+wqUTJ3a/Xnb2/U5E1ja3Kx7NpKSIhdzYaGYpPR0fVd4uPbFu++2QObcuZrzhtWJSkGFkxwCZGU20FNYqD3UPJ+dO8VSGfFOZ7ZnYJq6VicigBXgrrvu4oYbbmD8+PGccsopPPXUUzQ0NHyRXfOtb32L1NRUHn30UYKDgxlurNZOie5Evt6v/0/LoUNqnT5ggJiCwYPhtu+DXwdUzoeOMnjnfLh2xZEXQVSULNaYGC2iH/7QUhBGamoEeurrNeH279dGERVl/W7ASFubWIC0NE2qHTv0OXMdMTEWwvdF/x+NhIWJlhw8WBvZ5s2K86ipkVKdNg32bQC/VghyQvw4WUMffCBr4KqrdJ6//EWLYuxYy/VQXy9affBgq/dId5KQoMPhEBjZtQvmnAdbVsPzAA0QEq6KrH5+UtSVlaqdMHWqrKrzz+/az8WIw9HzNNW4OG0EppfG4UrZgxRwZaW+Y/ZsZeH0hPGaN0+NBA8cEKPw8MN6ns88owBV46LYtk2Br717i90x6cF9+lgNyNraxJQ88YTcRA6H5tQ992hcP/pI8y4srGeg9cvIKafISvTz0+92KSsTKN+5UwDM1QYdNdAvFPp1QNsv4d2dcon4kuAQW3XS4RA2BBLGqgDfVyEOR2fxv6RuUpbbVUPFu76K+bu5RMxL9VYdviQ4ycsF1BcaoqCoAw5Vw4GDnsonNdUCI0OHKqYoM/PY++0EBys+wy4VFXJZxMfrf5MmWfvTkDPh4emQsxXe+QV8Ng8KyuHuRyHwMRg3FiKHWnE2MTGe6eBBQV3jvo5VTH2qyy+3GOUdOwSGWlu1XxnWIzdXIMUodD8/z145JhDWZLMMGKDfQXtfZaXlpmlr82S7Nm8WYOyUwKJyVlBCNdEE3pWsvdUuRUXWMxw5UsyHAR9JScetd9JRg5Err7ySsrIyHnzwQYqLixk9ejTz58//Iqg1NzcX51fRYfTrKDk52pgNe5STI1Tu56dJmJcHH9XD4qVw0Sr49F4453eHP6eh5J95Rv55oxztEhkpkGJaYtfWasI2NOgw1f7a2qRsdu2S76+oSGDF9OWZMEHuGHvQ45eRTz5RKmhbmxZWQYGUcXS0FsONN8KWB+BzVBo88nor88VkRuTnq4ZISYk2kldflTWzYIHed+WVvovBGVrTTmGayrt5ebDkX/BiBzT6Q1qCxnf0aMVSBAZqUV56qSyeoiKr8Rloo3E49Hz79Ts6q8r4ogMCugcVprS1YbieeMKySg8ndqblvPPEBISE6F4WLVKGUFlZp8XdrPNfeKHGHKRcjP86M1OAb+5c0dCJiRr/XbusgNbERG2ypgXBNdecuABrU/F0xIjOhoptmhuxsRASCLV7oWw9rHgBmsohpg56V0EmKvXvAso7z+Vwyp3SJXU2Q3R/TY1ciu6D8P3zTsz9HA9x+vtOWTbS3qjqtN4gxfxsq4WmEqgrgYDO7MlS4ENzAodqmwRHQt9UraWog6rNE5ah7JYjVfc9Fiku1rwtLVU9offe66zmGqG1a1jWu9+HW4rhzQfgsZcgvA2C1kHMNhh3OYz5Pgw6AoN4PMTfX8Bj5Ei5U1et0r5qMtA6OsTujhypPSg1VcD9ggss9jopqXuDxnSujovT50312N27tZ/v3i3DLTISCgtx5OQTSwUxVEFHIkRGewbK2lN2R4w4fvu992W73XZe5eSU2tpaoqKiqKmpIfI4bV4NDZYhb2pa/cckO1sgxGzkDodo9FmzPNM329rkcln2MgzfA+MD4OzlED/pyN/xxz/K4hs5Uj0+uhO3W4vYAJO9e+XyqK2V33z4cFGJxq9fXi5wY2i7Sy+1yiKXlSmi3MShpKdrQXTngzadX4386EcCDXFxiv2YO1f/v/9+AbZZs6DxTmjYCZNfgozr9TkThxASIirzttu0Qdn9twUFYqAyMtQW3l7iv6YGfvlLKfU77vDMBnn4YW0M9XugbS+QDq+u0kL94Q+VEeLvr/iMmTN1LRs3ys9txmzJEoGirCyBuGefPX6dPleu1PgMHKgS9D2RhgaxSSUlniXJXS5ZbRs26PmavkqDBum18HAVgXvkEQv0/OEPuq9hwwQ0Nm0SmJ00SWM5erRnTYZHHtGzGDu2a8rz8RKXS2AxIhwunQZPPApLVkBAM/RuhXMrxIKAXCzxiKUGBXja3StfVCc9TFxLYaFS7tvbVbOlOxfn11Hcbt3f3r2wawvs2giD4uDsNIGU2iz40zqIrIOkDkhG4+lrevuFQnjfTlYls2vcSsCX2NtbWuSmXrbMikkJDhaDl5gohfo7myFXUggVH0H2H9WrpxCY74CJk+Hah2GoD4PlWK+roMCK7QgJsUq2u91iDhsa9LfDIbDR3q7YjMhIGWLp6ZpTEyZ0H+/kcukw+8q//639oLTU6mNjl3vvlSEFNC1bxxPT3uMTZrGweDRhScfAcNsDvjs6rMSE6mpqi4uJeuCBI+rvE5pN8434kHnzhNyhexBiJCBAAXennAKBz0H+O7DiMpi5CYITu77fLpdfLgS8bZus06FDfb/PFK/x95erIydHcQNmYm3b5llELTRUi8UER9mv+9AhMQxbbRRvcLCVEnbqqdoUtmwRVbhnjwpkJSTovUlJQuIXXSRL+9NP5TrauFEsT10h5O7UrE1LguRmnd8eADlhgiLLDx4UyjTxJx0deu3AAU8aefduXUNtrVw49jRlQ3fu3QuBRTAeuPvnupeHH9b1gSwaQx2HhHStnbJrlzajoiKxJA899OU7tNrLubtcAlLFxYd347jdAi9z51pl1rOyPOOJtm/XWMTEKCXxllsEKpxOsXWmwV3fvpoj+/db1SYNgBk6VCnAdsAHmlcFBdpQr7nm2O67O2mtsjJYNr0Pzq1wqBJub4fdSNmEAX6oam9khKqS9rcHlA5XSu7RSkqK0k3ffVdunyFDjuwKPJnF7RaANnEfRlkCEA51iTD0p9ZLZ7rUer6p0LOmip1daSyAjs5Mo5pdvr83MLYrSDHAJay3gm/Ly62A97o6ZXCBjJa4OIHioiIB4qAgzds77vCsLA2QlAJJ34Uh34HCefC3n4J7F6xZBWtmwNAhcNXPYPJ1Rx8f8umnWlf5+QIDdns/Ls4CIw6H9v6AACuJIChIe5Vpk7Ftm0DMm2/K0BsxQntHcbH2rv37te8WFipg3MS6uN1W5eqAAO0LffporQ8Z4tGexDX+FB7glC8er09xu7UPVld/ATK++FldLSPru9/Ve51O7UumvceJyKb5Ro5ROjosSm3kSBXjmjhRCuxIhZdiYqQE2ibCgp1Quwc+mQlzVoP/YYK+kpOVSbJ4sVDygw/6XlTGitxl2yCCg2XZT56sSVZerklv2JOqKjEATU2efWlMfxOTi19YKHp/504h5XXrrLL1NTXaNF56SQsyLU3KrF8/xSIsXKhz9u+vBQkQXqleNCVR8Oo7kJDeVeGBxtq4W0wmiMsl0HDggGcE+IcfCjw5nQIGP/6xxi49XWApOxvcLgiqg+lA+gxZHCbN+Oabv7AwupXvfU/j29ws4FVaqpTgDz6Q4r799sNnMJiieBUVYil27NB1mtTacePEUhxuLuXk6JpzcvR3crICR+PirFofTqdA7Ntvw3e+o/F6/nldb1SU4jt27dL1DB2qcwUH6xz9+ysw9e9/1/lTUz2/v7nZCny75ppj70Tc0Qw1u7uWRW8qsN6zC9gAtAE4IDYKhqbAWVPgtHMhaWxnddLjmDVy9tkC2NnZ6nl0pGd6sojbLaVZXm7VsXE4BEZMj5fAQD1fE3DqHQRs9pXQNB2JXlkkAB0t0JDrO7i2IVtxOa2Vnc06bSnLxQhIlgFV4dARDgER4B8BgVFwdh+IHyxGa9YsuRv79tU1r1ih+zNuBbdbhtCIERaD4HBC6vnw0Pmw6T147VewZRPs2g0P3gDp98FlP4CZd4Nf52c6OsQqmmDSxkb1XDKyfr21zkBrx84W21kE7+aloP1r1CiN86xZMqJWr9b9vP229lxz/S6XzuVwCJwYOf10sb3Dh2vP8MXEut1QX4+jsJoRVBFNNX4fVUFztfb4lBTPVN1nnrEAhreYWkOgazntNH2nudbjnU3zjRylHDwoZRcbayms1FTRhUe7GQdEwIQ34L7xMGgTvHMFXPne4T8ze7ZYgsBAWbvR0Vb6Yu/eeo/TaU3UwYMFQMaM8XSfmDoNp51mKca9e3V/9oyorVuVleB0akOYPl0W+Lvviq6sqrIa7Zn23fY+N5s26Vq3brWs7dRUMSNOJ9Tsg0YgJlUuA7v/2eWS++O663w37jOl3+vrde3Tp1vdPTMzBYJCQ3WNBw4orqG2Voo+Ix5a90FhEuyp0LMLDJR7qieVRouKdL/DhonO37VLm8u+fZ2l7W1Ky0TC21+rrJQrxuHQtb7yiqjXkBC5WbprPgcCAW+/rewat1vg4YILtFn9/e/ysV9wgcAqKKamvFzWcEmJPldfL1CXkSG3YV6evjcwUONz6qlyTzQ06PfKyq7zOzhYgYAbNnRNFfYlbpcUlXe9jrr94O7wfG8dymqJSoMif6gJhI4gGHUKTJ0Fp51usW8nSkwq+K9+JfC9cmVXhuxkEJdLCtSsu/37rb5To0ZZ82j6dFm0Bnz0NOC6O/ELgsgBOnxJYwXsXQN7N8LIMGg8pOe/fhNsL+l85vXgrIfwYkgEEhBoCqAzZbmPWJSmTlZlYCez0lIh1mXvXhUli42VIXjqqZ5KeuxFOrLWwqv3w+dLIa8A/nkv7HkGXGdBSyYUl3kqZadTMRgmkHPqVM1xE1x6pNCCxkYxktu365lkZVltNm66SSzj9Oli1f/v//Q9sbE6d1WV9q0ZMzwL+SUmKjauulog2TAY0dGesWQ/+xkBTe0YR77fAqwKrPZmgKYcvtutc8TEeP70ZnjtzOeJyqb5Rnog+/crJsRUpQ0IsJqJwbFbhetyoXQcFK6FOe/D0sdg2mGUYWioMhgSE6VgPvxQSrCiQkrRuF8uuUSLybsngi/5olpsvFUSHqwgx4oKbWKmO25Hh6zF3r1liY8fr+85dEhK2VgXBQVSeg6HGBSTpdHcrCMiBLblQi0wbqAWu10Bz52rgMtXX5UF4csSGD1aIGPXLl3jyy9rk50yRePkdIrBueMOfT45WQp05+NQuQoOZlqW/7hxuqdPPrHqDXRXxMyUfx8+XAv31FN1mLEyUlpqPReToRQfr4UeFKSN59VXBUSGDIEnnzxyQ8SAAIErt1vnvPRSbeDnnSf2Cqz+P06n1am5qEjz9NJLrZTH3/5WG2tqqubTGWd4xn2Eh1tdoH1JdLRvS7C5tGur+5qdovV9SWAMhA6DoiQ44ICCNjj/EtiwW0BoyBAFkg4a1JWdMIGtJ4K16NVLLsa33xalPnTosbvhToR88IHcnXYlA5pbAwZYdXzAM+X+eItJ/7Wn8efnWxl/U34OQ9P0e/gGGSep0ZDohMgGaMn1LLP/Rcryfh2+JCASipOg1g1lIZC1HN5MhlkXwFkXQ1CE5k5+PuSVQdIV8NJf4c37oWk+7CuEgy+DIwia02HoFBgw1GI87K4Y+75ol9ZW7T1BQRaju3691kx3oZumIjUIXLz2mlgql0tj+MgjGrdt28SYDhkiQy4gwLeB0revBUYcDoiNxV3XzCFiqCaajtOjCejVCTC8AfyPfuT7Go+TfANGjqfs2ycQsrezhIzTqYl53nk9q7Z5JJk5U5N5UTF8eggC74O0idB/qu/3NzdLEb30kmdJ3uBgKRgDRryzbXoqLpfYkc2bdVRWCmjExCjrwlhfEydq0do7Xa5erQVjXEHGfeLvL2ts1Sr9XlYmViWgSdkNjX6wbS/ErpQlnp4upfjSSzrvlCndB4f27q1rq66W+2rHDr33xhv1rD74QAxBa6sU8b/+pfMf2qH6IsGZUv55ebr2HTusIGQ/PxU7M9ZRVZXO4ednVV31LnTmDf4KC/Vsyss1jz76SGNz6ql6Vi0tsjiCg+UG6I4NycnRePv76/u/9S09q9paWVrGJRcSIoBoP1dEhF5LSbFccRkZGuv2dlHcs2cfueS7/Vpqa+WebG+A6p2e7pWa7QIjvsQZBFFDbYGkw6EsFDYfhOWbrYylEOCDBQJDiYnyXftab6++KqB7111H39W6p3LWWVoLNTWKafhPgxGXS+yaWXs33GAZP/7+ep7BwQIfxu3Su/fx7wNkl9pazw7K8+dbcXN2iYjQXLMr5vHjj1wg0NWuIm++egHVZ6tOTFstxNXCTGAvsBU4BCx7B9w3QmQQREdCYKRY6IBImBwLNz8KgX+DTx6B9S/IYNhzAHKyoPdZMOnXkOGVMu5yySDdvl1rLStLe0ZpqdbQmWfKcAKL3Q0N1T6cnCyw36+f9nuzRz/zjD5fVeUZkBoZqTWemanv2blTwKStzarYHR1tsRjeMWUPPURbk5NHn9afj12BYqu+AvkGjBwv+fxzWdqgyWFASE/Yhp6Kv78s0bJS2PA8rKwFx8WQtAcivFDsgQPqPmsmrimydfHFQsZfNjf8nXcEKEzVPxBtP3y43DwTJlhBUibQyUh7u8arrU2xIQ6HNkiXSwvIpDmlpQnYhYRAcgPkAGERuvb2din5TZv0/n37tKGOHSvL1Phn7SlwDocCMhMStPHFxmpzTk4Wa3TvvbqGfv0UK9GrF7TVw/618A8gZAv8uTOg2KQMmiMkxHNMn3tOVlZUlFVxMSnJ01/sLaNHyw2yZYvA2MaNSnX+5BPdQ0KCrG1bRWMPqa0VQ7RqldguA/4yM1Ur5tln9f1+fnIx/exnvuNMJk3SxvfLX1rMjQEhQ4fq+hsbBVBM8zLznCMjweFWJdKKzfDRX4A82NMG7YX4rk7qgPB+XVvdR/S3qpO63QoathclS0zUHJs4UQDupZeUSdUd8G9oEEDfuPHEgRGnU2AoJMTT1XmipKPDE3wcOOBZrnz/fsstNnmy1db9RIGPlhZdj1kXOTkyUm691YpJ6d1ba6VPH8/O3rGxx8ZYOf2VpRPe1+oZZaShAbL3wcFNcHA7TE2F4cVw1gF4cS0sL4M2lxrthZVBeBnEAnHA2uWwHXVFDk2H6UOhti+k7Yb8Oti+CL6zCKIz4czr4PsP6TvLy8WQ2cXtttykBmy9847W2YUXaj+rq9P/ioq0l9oTB0pKZJgZMZVVo6MFXi65RO9ZvVrzrr5e7tvpnePR3Ky9zjuw+iQqw/ENGDlWMW4Jk8lhUlFN6eITZRFFR6sg2q9LIesNiK+Ed8+Fcz7WBDQ9B8yGk5ysTSg7Wxbb/v1diwYdSVpaBApGjLA2i9paLZ7QUPmax4yRovIFcmJiui6C66+3NtDSUisY1rgOvv99vfbOOxAaDMGHhNiHToLzLhVbkJ8vkPPPf+ozEyboNTsL5F0caPp06x4mThT4eOstRcD37q3xevZZq6bHwYXwnAsq/SC8QWMaECAFb28iZbdWXC4pZtMsKylJm+JvfqNNZNSo7t0ZgYECOzk5CvoyYz9+vECXUcb79gnoJCXp+5YuFbNjKHjvktvTpwsgjRqlqHtfzEZTk+bzvHkaj5AQjdsFFwigvf66nvkppwgw/etFGNUHLhonlmPpy+BfBBG14O4EMWY/NS724MSu9TqihoJ/WNdr2bTF6llj2rObzsOTJ2v8zbOMixNYOVxsw/jxAiIbNwqUn6gAU++YpcMB0KOVjg7NKwN01q+3GjUaCQ21mA876PK1Do+X5OTIGCso6OpycDg8FengwWIRv2wcii/Jz9fzNe5fe98rgLPPswJaex9QjFtZAaSGwLhEaD4E1Qdh3WaIq4aWQ50uoBxYkwMFKKi2HKgCWgF3Fhx4GFx/AEaBY5CCQJ2BEB4JoeFauyNGKBXeAIAtW6wgYSNOp9a1qSZt5NprrYDQ6Gjf+2xSkkDQnDnaM0xcIMggeu01jf2pp8rwOc5dd7+sfANGjlbcbsWCfPSRfv/JT7TYwsLUYfc/8YAzM+Hbt8JjhfDpZ7BtM8w9H8ZcKDeDqXj5i19Y1kZZmUUbbt8u+u5w0tCg95nS6m1tqjRqAlZnzJAFPXDg0W8q/v4CAqZEuQkkNceppwrQgVL3br4QKjvAFQjuUCmooUN1ZGcrVRbEevj76xrtZZNzc3VER1vAJCxMgbXz5mnDCgsTAJo1y9osWlvh+/dCJeAXLGVmjxq3i31zcDoVpFxW5ukXz8uzrHMjJhYjIUHWYVycWIyVK/X//v01rzo6ZPkXFekzr7wiSygyUrEnDofuvXdvBaEuXao4GFNbYdgwgWUDVu1SVSXqfNUqMQsLF+rcptSzvz/s3gKL58LKJnD2h+zFcGoOBLTA0s7zRJt7ApwhUB0BDTGal0PPFetxuJR0l0tra/VqAWfTZt3MuUsvVYCyGetDh7TejJvxSPNw+HC9v7xc8+FEsSNGTLffXbs0rscCSNrbdZ9mbRw8KHBo/P4DBljgY9AgrcfU1ONv8brdWqeG7cjO1jqcNk3/N/2kQOvMsB19+2qc7QX7viwIaW0VKDdr3PRdAf1tiuoZMYXC0tI8mcD+/XXYpbYWFv8L3t0NQX3gnj9DQjAU7YLXfwFNjdDeJtdQhwscLtVWSQTiGuGt1VC7GvoC5hE4g+T6Kc+HrQFWyvJpQyDgdIhLtFiOiAjfz85X1mB34nR2fb8Bibt36wju3M8mT4Ze/VBu9lcr34CRnooBIR9+aPUEMDENZoL/J4CIy6XNbedOxU/UJEBwGbRvhsDTZUmbhW93ESUkyJ+9YIEVXOcdW1H3/+ydd3xUVfrGvzPpPQRIIPTeewcLoqgUu2vva1ld3bXtWnbVtffuWn66q+uubcUKqKAgihJ6h9AJkA7pvc38/nhy9txJI4EgxTyfz3ySTO7cueXc8z7nLc9bIPKxapWYtbN/Sps2vlnRzdlXKCpKD4aR63aurPbsAddeZXj376WH9bXX9P29emmyN6EVkzhmSI6p/DGtswsL9dn8fBmwzz+3q9a+fZVHsnmz9t21q0p4t+6WNsV1Z0NamO0Yuj+4XLYKyZxXZaUmS+dkbNqnJyWJHK1Yock2IECfe/BBTfpmhZeRofOIjdV9MuWyQUEyUDExKiVOTtYxnHuuvR41iUh2tkjIzz/b6oC/v6TxFLkBtmbDggSIfBE2p2pV2BPYNldzVwCAH0T2hsDusCwDquLh94/DC+9D5l4R1klXN3yt0tNFQBYv9vXotG/vq3HhrErIz5cHq7RUlT1OL1V9CAwUCV++XK9DTUZycuTZq6hQYrQx3PtDaakSTQ35qKnT4Cwbbd1aZd2HwstTWqpkZ0M+8vJ8/x8ebs+pTRuNu65d665mOxhkZ/v2ZUlP950jYmMtGeneXXljJrG0Y8e6lYtLSmxC+Nq1Inzp6RpX5lnw94ePZ+j/MTEiFO5QzUEmB6NzR3jkj5A0H5Leh26LoKxSeUxBiKCHlkFYGQTug8RNNQ7EBfnxsLd7bRG4sG7qwNwcXZYvvlgLyMWLbRHDTz/BTz8R0CoOP+6n6jDTgRYysj94vTL+s2bZCg9/f5VGnn568z94+8P776taBDSZjhwJ7ZZD6LfQ6gPw/AnoWPdnp07VQMzMlBE/5RRfSfDkZO3foEMHhV+GDdPvh8qtXVCg0EF8vHIZfv5ZxGLoUBg0EM7dp2SzmDMhM1DegeRkq4/gcilJc+9eTVi9qkmLs/Jn6FDl0BivxKxZMhI9emj7qirbLtyUPKalgKcUfgPEDoHlP2hCzspqXC7Q119rgps0yfZucYqqgcbPrbfqfnzxhXXBjxiha75rl343JXk7d4owXX65ckLuuEPExeMRmcnOVnglNlalfnVJN2dl6dh+mAMle6XvEFsBfXMgeje4vSIee9DqLgJIRgqaQwZDr3EwczUUtoL7X4fotprkdr+tlfn8DSIi0dHy0jSErVvlujYIDRUJGzdO16yuMVdZqZBTbq7yeurrZF0XRowQEVmxQkTtUGqBxMTIm/PhhyIlAwf65gGAzmXnThEOEzrz85NAnDGK4eE22bR379rne7DnUFWllfPOnRp7Y8fa45g501a5uN0akybPwymW53LpGTtQmOoQo1Tap4+9Hrm5GttORERYsmEqwEDX94wzrCjXwoW2ai8iQs/vc8/J25iRoevsI+qGrsHo0fppetVkZYnojB6thHlnaWtkDAzuBYNvgNNzYdsb8O8nYXGOCHuMP4wfDqNOAr/iGl2Wi6WRU5ICexfWvi6mZLkmSTHicIFNyLNp21bXZvp0PXeLFskeBAcfdiICLWRk/1i3zmY+BwSohvzUU38ZElJYqBVB//5W6XToUMUazYTdqRNUlsC34yFpNcw4Hi5cD0F1pEQHBytZ6vXXlZ29YIFyCEx9eu/ecu/176/v2Z8gW3PBNHMqKRFJ+OgjGea8PBjSHjplQacIuOZBcAdo9bJ1q0jD1Km2K/HcuQpFgFbVxm3dq5eu2aZNMu4ZGfq+yEhNTP37a+JPT9dkuH27tq8sgdOACV3h222asEtLlUTcs6edDPv0qa3w6PVq5bFvnwhBfavwgABd8379bDjsz3/WRJqUZMmEyyWS8f33NiemVSuNg2XLVP5YXi6DcdJJSoSNj9e5LpwLvYKhYhtkrYHnZkPuPvBWyMU8Bv38H0JgdysoKoaeA2DcffD9BxATBJc9rWuU8aImt+i29h6C3PXz5un3yy/3TSY1Xr2SEttEsEcPnUenThrPgwfvXyr/o490j4KDFf5oTCNAg4EDrXHZtas2OWxuTJwob+OWLcoB+sMfdF9N64WdO3XPO3a0xjcgQAudiAiN3/btm5c0GRVTE3LZvdvmPHXubMlIQIDmuvBwXafOnZvP+1tcrDwGQz5SUnzzrpzkrEOH6kVXOz2z4eF6XquqfKX3n31Wz8aGDZoTCgqsyKIJObrdeoajo/X/Pn30d5cu+n3wYM0XppFrVZWI9uzZGjOxsXWXpxsERkP/u+BvN8MXj8Lnb0LGPvhsKXyxHMaOh0segn4n6bjK9tbuA2R6AzWmZNk/wkFSutcgLN3q7rKclWUXXICnS7fa2xwGHF1kZO5crUhDQqwMeEiIHtZm6hz4v9ioSfQaOFATZe/eWonWTCxqbtSUAq6qsi3sQYbzySd9Xf3+IRByn4TQhiSB/9lwybe+55SUJLf+ypWaBAsLrST4+efbTrKHuJa8ThhD1r693NPmmIuLYc862ABUhIDff1SaGhmpFe6IEdrW3JPQUE1cKSnynqSliXCVliq8UlmpBzE0VPsYOFAToQlZGdn6sWOV4Pj8BdBtD7Q5QUlh5eUy+mbVlZOje5SXZ8lIZaXCYAEBmuyjour2Tpg+LRdfbMMnL77oGy8255eTo33+8IPOJTTUupnT0rTCqayU1+K+a6FrFWx/AhaugWVrYWkuBAKdgV7VP0OA4f7Qp7/6sOSEw8+7wRMPf30B5t0KeYuAAZDdWqJVRsDJhCmdoRGjh2CE87ZvtxN6SorG85IlVnxvxAidq9stobDGPr8LFyo05XJJJbauNgoNITDQNh78JRYULpeSlR96SF6GhQtrl1dGROg9p5eyvoqppqKoSB5DJ+l6/nkREidCQ7WN09sBtatCmgIzl5rwSuvWNmRYVWVVjL1ejV+vV54NkwwPyo3avl37MXo9xcXyABYVabs9e7QIcbmsh2XfPs1nQUG612a/PXvqOb711sbl1ZjKyLFjRUqc4encXI3piRNrV04FhcEFj8H5D8O8V2HG87BtJyz6CZZNgttPhyF3Q+wJyqOqq9+YT8myg6Q4S5YrCyB3rV51IThWJCWgM+wJhk0lkFxcrWIbrs7TB6p71cw4usjI7Nl1M/MHH7QP+FdfyaAZolLzNXny/4hGLBm0YR+unSEQE6wwzPz5MtKPPSYD5XYrhHAoS6CMJLOZsA1JADF2p1u2vuMIjofwcbDqJ2j9Hcy9D059WP974gnfOHOfPpoMrrhCnp7DLVttDFm7djYUZkqGq7KksNm5i28PmoQEGUZnVcgJJ1iVVeM52bxZIYkdO2w3y4kTZVjnzZMnZswYGaY9e+xkExoKI/dCFtBlMnSbJrL0xhvyCFx1lV3VOfv+pKeLAJmE1bZtNZaMF2XAAJEXI+e+bJm8QMYwO1FZqaqW2bM1gYaEVFdCeeHy02Hzj5C4BPaGQV4WnL8QMn6EDNSP5QcUbskF2gZCeQzsawuxnWSQTz4XOlevir79Fgq+EOnNzrYlwB6PVcM1hMvcIycZMYQyPl7EvUcPPUsJCVa2HjTxjRih8zEejcYSke3brQE766wD7x56MAZ2fygv1/XZskWel5tvliE87zwR123bRJiHD7dhl7i45nkGKys15pxJ05mZGjfPP2+/o2dPeRdMgmm3blrxH+wxeDzydpgcreRkPceVlZq3BwzQszZ3rq5NTo6VMzcLTK/XV71z716NrcREjaOSEkva/PxEPEBezyuu0Fj65httbzwd9cmhNwWGlDjxzTfyVM6ZIw/SxIm1vXRuP5h8i14rPoMPHoaKVbDvG5j3DcSMAv+LYeLN4F/jOWioZBnkuXV2WfaR2d8hbZXSTCjKhA8WQ5njs/FANzf060RA5Hreuu4zft4yAbxXc7iSWY8uMjJ2rAZuSYmtmzbliAaFhXoAnPoXThx//P9+Hc1SpjOTgL9mQ+pu+xk/Pz3EDz1kBYFWrxYzr0lujIemZ0/b+rey0noaGoOqKk0WJnYZGWkVOBsbDx87Fi68CV7aBR/ugdBHodME6He6Jpy0ND2YQ4dqxdoU1/ahhjFkxcXWrVpYCK4SCWUVAfF9racAtJpOSpJRN82yDMLDba6LMeaRkSIYV1wBd94pTZG0NJGHwkLdq+++Uzz4+echwh+yV2h/sSfqZ58+um7t2uma1szEB/3/1FMVCjNaAenpei1dqtj34sVySRuthWXLNM7i4iwh2bBBuQapSWoCF+eCwAx4513IrYCku2ACEAlcVv3dXtTozdsHdpZARqb6acQGQZtYCAqGXZmwKxlKV8GGNHnZ3G6R9BEj5MmZPdsem9stowaWdJ18soiVydj3enVt2rWzPWlmzhQpA13bwYM1ngcOPPBqivnz9awMH26rrQ43ysos+diyxTZlNEhJ0bU64QQRwO3bVaZZn0pnY1GzXPjDD+Uxcn63QUSE5jaTAHzVVQdHPIqLLRH385MRXr1a5/ryy3qeyspEzCoqRPSvvdZ6ADdsEHkw3mfjsczI0L7PP19zwnvvKb/htNNsB1oz18fEiOB36yaS3K6dzcfZX55Sc6FHDxsS+uwzkazJkxUmrWt+HXGOXnlbYPPzsONt2LgMZi+D/3sIzroKzn0QQiJrf7Yu+IdAVD+9nMjMlHd93ADI/AEy5kOPzyAlUwnovagWNvNA+S789u3itxO/57cT/0lxySSRn8OAo4uMXHzx/nX+Tc+BmoTF/O4Is4RSxAA24t5ZpN4HRgK8QwcZEueKbc8eGY36cNdddqW4YIF11dckL4GB2i4zUzH1tDRNYO3b60EcM0YTd1iYXSk0NHGUlmrgrVpV3VCuA+zLgNnlEHIRtFunEMP559e/Ai0tPXzkxLQoB7uCDg7WZBZRLjYfEQ1t2lkXsvE8+Pv7qrrWRFqaVi4hIcqNueceW9ly6aX6vm3bNLGuWaOJ8/vv5Un640SNifAeSAUJ3ZPnn2/YS9amjeLb3btrkrz/ft3rZcsUhsnP1xjo21dN9mbNkk6KpwI8BdCqCkLy4Ye14M6H8DLoBiwGqjkBfkCBH8QM9W11X94e5i8X6QnzwIleTdh9+8owGNntrCyR1/h4GZNPPtHYSU3V9YmPl9ehXTuRqOOPV4WCyf8YONCGYLxeXcPPPpNxycjQuRttm3HjlB9ihOwOBtdcI8M+adLBr+LLy/XclJfbHInGoKxM18ystL/5pnYpaXS0zVcyoSCXS6XjRUW++g+NRUGBb1ltUpIWS8bFHhIiImLyO5yltWaRZNDYa5eaqrG7fLlVEU1Lsx6N0aPlUZk4Uc/Npk0iFqZ5Yni4xkxgoO3NVVmpsTRokJ7jOXP0TDifKRNCWr1a4VLQ3N+vn7wrgwfv3w78Ehg1SgR+6VIR+MxMVeh9+63skLMHjBNRvWH0azD4Qfj0Xgj5D2Tlwj9fgI9eh1PPhYsehTZdG/5+rwdK0uUJ2bcJliyC5WsgKRUqCuCsIoiurjoaAYylttMjMIaqkG58OrcbCVvH8fCZh7jCrAEcXWSkMYiIaHQMrDXZbGAAY0aA3/TTlJgUHGwJjDPzfeBAPfA1yY15OSdbU7FRUaFXXp5WCxkZGrADB+phGjdOBvG//7Wf/ewzm4QJkuo2E/+aNRroISGa1DZu1D6NFyYmRvuMiYSc7+HnPPCbDFetq+0CBB3TRx9povnb35ov76YpyM8XCXO57ArclBQHFipMEt/JtxfNW2/p59ixMk51YccOeOklXacxY5To6EwiHTxYK8QVK2SMw8N1Xc86Sx6AzO+1XduJCtOZxnzGtd6QqJ2JbQ8erDDNli0iIqWlEB4K106DM4bAxjkQuwJ274TUbKhCKrMgb1BnoBT4MhCqAqDKD1qFwLDB8Oib0MlxPl4vPPKI1XoYOFAlyDVLXsvLZVDMtfjkE2ts1q5V0q0h5f36yeDUpdibn6+Q4qJFWpGnpspTZDx5XbvqujUn/PyaLthXHzZuVMitVSuNj/oMdFmZyJbxfCQlSU10yBD9v08fhaKcY8OpSutE69ZNU2TetEk5Jjt3ikDWxK5ddm448UR5W1q3bphslJfbpmnOVvBZWZqbTj1V93bKFM1LiYla6NT0NAcHi1B07aqxN3CgvnvaNC34Cgpsz6nkZC0aMjPliZs6VftIStIc5Hbr2YuPF4Hq2VPPoMkvAV9doiMJbrfmIZNIPnu25uSaooN1ITgWLnkLznoKZjwAM/8NOXnw2fsw8yM4fhL89iEICvQNv5jf83dCcjlsRdWGTqdYx+q//UJ8E1r/V5XTHcK6QmAUpUVwwXR97OHDGLE/9shIE/A5Z9OOdCqvO5eAcUP1ZlGRjGHNJDOz0mgMpk6Vqy4zU5P7kiWaBEyooH17uW1bt9bDOGhQbXJjwhXGLZmTIxdvdQY0+flaOYD22bq1Yq2nnqoJ4PqLYM/PsHszPDEaMo7z9dCcc44mki1btP2jj2oF7EwMNq/o6EMnbV1RoXBKebntV1FSAv4eKC+EQqB9X9ufYutWm8PgbNLmxPLlqoAKCNC1vvXWusnD8cfLrVxcLNLw/vvyvni9MOdFbeMeCmXrdX/27bNiZEZRcfRo35wR0L1o3w4Gd4TUryF8BZydJlGk1qXgXQ+Lqrfth1ymucDwVhDXG4rjID8CftoBKdkQ6rJy8mlpsGoP3HWPPB69emlcDhokA5KQoOTH+qpEAgMtEdmwQa7lqiolBv/wgyZU0x59zx6t+jp0kKELC5OEfFKSnpHISD0vycm6vtdd1/wetu+/V97A+ec3b97WgAG2+eDOnb6kLSdH32vyPpx6O6AFhJOMPP540z01ycnyDFx0keYJk+Nx0kk21JWdbYmty6U5yenxMNuBCIC5F06yUVys7zB49VURjPx8vQoL9bniYuulDAgQAe3YUeM+IEBjpGtXXSdT4dO6tfWUGC/ABx+ouWRNbRSDTZssGTn9dJ3T4MH6riNImrzJcLtFlkaN0j1zVtft2CHyO2lS7VYFlSVQmQGnTIHRPWH9DEheDv6lEPEtfP8t9WIX8J1L6sWBkdA+DkYNhrEToP1AkY7gZspH+gXwqyYjacTzAA9xx2DHm998o8TGCRM0uR+IrLvbrYnb9GABPXTDh8tz0aePffBiYmzPBie8XhmD9eu1QklK0kN7/fUy1sXFyj2Ii9OkWlpq5do7doRzroSv9kHvzeBeDUXtILuzFS6qqNDnzj1Xk+mMGVbRsiauvdaWYq5frwmnrryZkBC5LU0SaFGRJqua2zkfjjZttNIEuXLnzdNqcM0sEZHQUOjQzYZoTH+Vvn1rN9DyeJRLsmiRJuUBA1TiWlcFVGWljOf27boOf/+7/Y6KfMipJjyDzoEXrrWr482bRZry82W027SBnvGQux7SlsPyHyEqFXqvh+1FUF14Qi9zX1EWe9RA8PaARWWQVAptYyCoH1x7pw0BzJolDQ4j6rVihd4zVTyrV+v9Dh2kjmuaim3apOtokmbr6tVSVaVQImjVevrpei1dKkOybJmI1+rVShB//XWNv/ff131t1UrGqLTUlmXX7AZ7sNiyRWPf9CwyY7A5EBCg/KlFi5THc845jvtfofCBQZs2vjofTu9GUyf64mI9Q488IpI1Y4ZvRVCHDpZk9OmjZNvOnUVGS0tFMgoKfEM9b78tA+hsaw96TkpKRCIyMhSuNboZBQUiO0FBmoPat9dz0qePyGpFhQigwb598sxu3ChPWFKSiEtxscJPN9+s7dq31/jx87Pqud27i7APGuQrvGeq144luN02FAzgqYIZ/4L1K+GTF2FYDAx0QeUeeTdK0mrvo64CsRJgTQh0GAznXqO+TcGdoPgdGDBIdqVz56OGeNSFXzUZqQWvVzHyqio9cD//rPyTKVMadq96vWK/ixYpRGSy9Xv21ATar5+M9P5WjaaqxnTBdTYFc7k00J1JnKeeWv++rrtOryU3wvbXYVgC9LsTgjppgjKT2ejRmiDy8/UdAwfWDkU5E4QLCmqXBTph5NZBXozXXqu9jSEl551nDUxqqgxoSIjCZcclQPp2yDgeeg3Q8VVV2dLfq67y3WdpqUIxixbJWPfpowe0vtjy3LnysPj7y5A74+p7FyoeG9FLCoig69KvF+T3gMJ1sGwl+C+BtPkwo3pCSQKqJTYIA9q5oFcX6DsEuo6EVoOV2xHQHubMlcGrrIQwt67ZTz9pIr//fu1j+nQRBENOYmPlzUhMtG5tk8Tn7Ly8bJklwWCT/Ywq5cCBInxpafLwGEXZoiIZNo9HBsZUl7ndthS8UyeNgYkTZZjMyjowUAbRmTy4Zo1I+IFUamRnK4zi8WjFub/OrY1FcbEllqtWabwsX67rYMiIUSvu3Hn/IbmGUFoqgh8RYcNXKSnwj3/oehgPRkiIvmv0aOt9nTlThNOQj5r9XiZMsKEzt1vjqLhYJKKqSuOopESk4K239HP8eOVKXXGFxsfGjbahZMeOIjxFRbpvSUk2Qfnbb6WPUhdcLt/+KqNHa7HSv/8R1/vkkOB/WiE76w6lFO6C8iqFXXOB3cBXwABgIFJp9Y+wImZOcbPgzrBuLXz1Cny/FFJLIGAJrN0B5/4Opt8NDz1yVBMQJ1rIiBMmyWzrVq1ATczWKILWJCVZWfJOLF5sH8iwMBkRf3+rhdAQaiaovvmmLVczPQaGDtXrQJK2Rr4IWSvhu6Ww7xK4ajOERvue8003KWkTGnbxg1bHd91VO6RkyIvTKBqhIfN/s3IrLdXL69VEGx6uVaIxoH7lMH6F8ka3R+j6d+6sSdbPT9fhm29EGI2n5ZNPZMAqKzW5DhumSbeoyBpv52vSJFXV5OZqsl20yDaxSq/OFwnvBusfta3u87eAtxI8KB7rxbbbDu0EgVFQuhPSvFDqB7FdwTUOtgHRBXBtP8gvgf88ZHMAYmNlHH/4wZLhO++03gx/fxG12bPlGTG9cdq2VQ+bumT5u3cXSdizR9+Tna3XmjX6/2OPydiBxteqVbZDcmKixvLChbo35eW6vps3a+U8eLBWvJdeqvh/q1ba3iQ0GpSViYh6vTqXLl18QwwNjeXycnnACgt13y+/vHnKTp96SkbWGHaPR+PJ7fatQnG54IILmr5/o2KalCSP2549IgyTJomkLVokr8iePTLUQUEan9u3i7CceaYlGNnZviXR/v62gVpwsO5ZVpZCjUZVc8ECkWwnAgKsB8L0LwIR9bAwiTr+9JOIZ3KyLes+4wxdL7Dl81FRVvHUKKQOGuSbLxcaenBKrEciKgpqi5IZ0lGUpIq/htAzEAZ3htQ2sLISct2QHgmFreHci+DUs3zHd2qq5rwl71bn6gyBPp2g1VrI2Q6pe+HVh+G9F2DaxXDBwxARewgvwC+DFjJSF3r1gttuk5GYNUsT9MKFmrguvlgTwfffa4I2MBLe48btv3SxstKuzDZvVow1IEADcvRoTQrDhulBr68demPhFwibz4BVK2U0wqbA5T/7xme7dbOiPv/9r23+VxfCwhrXBwRkuJwN+SorfclLTIzO3Ygj5edrwhsfAO4qqGoD7UZASaneHzZME+7XX1s9mL17NcHn5cmIhYdrwvzNb0Qct2yxCa/gKyzlcsGZJ8HWxZCyHt47Gzxrwb1bFStpc/VyIiAKBvWGTYVQ0RqO/xtE9INHn1f4Zl91BdUDD8grYMo9c3N1vunpMiI5OZp0vv1W48XPT/fgL3+pfc+//FJjBUSKL75Y16K+/kATJtjS0eJiGUlnf565c/V+x446rhdekMdl924Z5ZAQXcfAQHkGYmNlMA0R795dhGLyZHnJ1q8XuTBKvqBJtHt37bO42DboMjjpJJvL4PVqRR8YaJsAGvnuG29sWmJ1UZHVmCkqUi4M6J67XNp/bKxNOB06VB6Itm0b/x1er8ZaUJC+JzFR5Km4WO+bslZj1I1HdNs2EUpz36Kj9bd5HoqLbUjxxBN1j91uPbfZ2bYFQkGBvBogsmbIQp8+utdOL1ibNroe69ZpDJncjj17RCjrQliY7/MfHy/jeKg6kR9uVJVL7bSmXochHWUNeIIBcMmDWleSaHg3CIm3/WW8Xt2H2bN1L0PrSDj+7jubmxYRIc/guHHVz2sqfPQX+Oq/kFcA7/8ffPoO3HsTDPsThMY399X5xdBCRhpCz55Kfty2TQbQaBvs3GmTR4cN00AZNqzhJM/yck34q1dr8isutv9LTLRGe/r05j+PC6+BJT9C6rewYjG0uR2mveC7zTnnKGyxd68mvqZk/TcW/v6+1U65uTbPYM0aGWiXC5buU9z05JFw2y2+IZTISIV3Jk+WEXznHbnXTXipqEgufWOMjUEty4f1P8Gy1fCbOIjPh7BsyH1DHo59wDJU/gbyfBS3guLWUBSj14SLYdrl+v8Pv5Nn5ponZBhM7kRQkC3PHjdOhmnjRk1AGzfK0EdEyDNRVKTzjYzU8R53nEInhYUy9kaHYdo0bTdtWtNj7Kajq4nVZ2Socsrj0ep/61Z957x5On4/PxmfPn1EQIYNE4nct0/HnJ2t4woIECn6+Wfdh5p6OG3aSNa+qkqkyyk/npbmmyeRlqZcnw4ddO6JiTLKt922fwNYVOTb8dnZwt7l0jEaMnDppSJZTuXV4GA9j84W9/v2iTSaapP0dB377t06lyFDNDf8/vci8D//rOtaVaV7Gxenn5GRugamKm/YMBEh09ckOlreV9MPat063YP+/a13ctEiVbw5YZJZO3XyJa59++qeJSaq3Ng0fzMy68OGWTLSpYuucatWVjPHeGHr0jY6momI16PcDB/vhoN0lKRom4YQGOOoQqlBOsK6SKG4MXC5lDs4bJjmW49HRNa0tUhJ0T0oKdH8MWCA7+I2Oh5ueBuuegW+eBg+ewv8s2DXC7Dn79D1cujwO+jUjPlVvxBayEhD2LvXdhO95BJrHCZMEHstKdF73bs3TERWrFAs3tl7ISJCg27YME38hxLx8XDXk3D3HtiwCVq9BB2PgyGOBLXoaCWh1Wz3fShhcmK8Xhnt0lJoFQWuYoU2oso1yXftKmN58slaKfr7y6P0/vt6UEeM0DX85huFia6aCns+teGV3utg+Vb4GagEVmcrXmvQrwOk+UNBOwjoDhs/UPfZwS9CaAmEVa9c4wfaVUzXriIjhYU2Nh8TI7Lh52crIWbM0DjyeFRVBfKMGKG1Nm00fiIj5fX5xz9kUE46SeTE5Ou0aSNjVVRkx4sx9M4E4Ya8cvn5Untdv17XsU8fvaZPtzoWxqu0ZImMcbt2InSpqTqf4mIlvn73nbZNTRWZGDiw7u/087N5CSecoPdM6bvBnj26Pnv2iAhs3y5v3auvajxOnWrzF0xYz9yH99+3FScG7drZZFPjBauqkuHOyrLy4qakNT7eN5z61VciGFu3yuPmXDiAztvkQ/TsabUzOnTQfGDIRmSkrwdy0CC9iou1b9OJ1vSH2bpVpPGiiyxZ69JF32E8HZ06afyvXy/SMXeub1XZfff5zjOg7ePifIms2y2iczRXsDhRnmNzNZyko2gnFCaBp6zhz9csgXWSjvBuENBMuiZer+51QoKSxY3QZVSUFiv79smWTJyoZ6C+5zkoDC54As5/FLbOgN2vwN6fYP0/4b5/Qv+BcPE9MPqio+YeH11kZNs2GfBDeXFLSzW5JSTYhmSgicNMuK1ba3I0PWQWL9ZqeNo0GYQ1a/Tw9+6t7ePjNUG0bm2VQbt3/2UHybBhcNMTqgxZtA8iroT4odC2p93mUJOimjBkxKc1eSF4vJJR7j1cD+R33ymBrnNnGYpZs+Cr2RBQDEMj4Tg3bPw35CVA/2z4+WXf70kB/o10Orq2gnsvgHbDlEwaNQA8AbDtDt2jcK8qX3qeAaPPp07s2yc3ujHe118vIvLBB7qnF12k8WJk7ouLRQSmThVx6djRVhtUVMiTs2ePxpFpdpeeLvLhcmkFZUrDTzlFCdI5Odruvfd8j80ptDd2rLx5c+Yo/DZ/vg1T+fsr9Ni6tcbs8OH6rokTdZyFhTqGfv00gaakaMLcu1fnHRCgPIP160W8aq6mFywQgerYUZ9zuqJrkt0xYzT2jPfEqFqWlen3jh3lUdyyRX8PH655oGtXvXbtEhFo00ZEoKJCZGPwYEsa3n/fN6kXdF6lpSI4b7+ta3LttSK0nTrZPLC2bXWvevTQcQ4bZhNNx4/3bdbmRGWlDZG1b28/k5oqomVgemsNGKAx7vRCdOig67d0qe5hcrJvu4j4eEtG/P1tRV337rp3gwbJY1KXHPpRYqSA/Uif74SKvIY/7/KD0M61G8kZ0hF8AEnWTYERVExI8C1MiI7W+B87VvZl1iyRlTlztP3EiSpUqE87y+0HfS7Ua28CzLgHPD/oufzLpdDlbjj/D3DqH+vWmjqC4PJ6a6ZpH3nIz88nKiqKvKuuIjImRm7S4cPrf8gagaIim3dVWAhhAeWKVa9caVcWLpdcpuPGafKrGbtOSpLrevlyrbCyssRqzSrwuuvstikpmjgOZ+az1wvPPQkzH4SIUpjaDa7fDH4BtbdbulSrtEPpnn33Xa1Ad+6UQcnKglalQBFEtIN7XtIq/aLzIHEFjO0EvfIgZB+EZ0NAjdVOJcr18A8RyYgeBOWd4c4ZkF8OHTvLU1FXg7S//13u+vjvoNcOmPAhdLnQdxuPR0Jq77yj0sycHBmQ4cNlKObM0f33erVtaakMWlKS7vvbb/sKN+3Zo3yQNWv0f5dLY7tfPxGPkhKRmFdf1b4qK3U/yso0YfXsqdV+q1Z16zpUVCgMkJMjz0BmpohAx44yrOY6mMTZ9u1tGfFVV4lk9Oql41q9WvsJC9M5P/igTXRduFDndemlNqH4nnvscYSH+1ZtmF4oBmVlImzG82g0OFau1PGHh+t6lpXpFR4ugmDKSwMDdb0iIkRIzHP60EPWwzBzpkKt5r4YEgL6fEyMjvvFF21YcONGbd+16/4VZCsq5HExMunJyTo2o1Fy8sk2Kba0VCXn5nq0bStCbnJdKirUTdpg4kSb1G7QqpXtGP3www0f29GAxjSF2x+C46pJRvfapCO0k3q9/JJwFid4PHomcnNtWfm4cXrWnaTQ69UiZNYszYmg8XnhhfK+NQbbFsH7f4WffoCq6vHXphWcdTWc80AtuflatjCMZsX/7HdeHpENJK4fXZ6R0FBdrZ9/1suoAE6a1PikyhoIpAzKXRAaoEmkokKT8rhxtoFaXfB6NVnl59uVmFHd69mz9vE4BYoOF1wu+P2tkLQZtr4LJTth7b0w7Gnf7T76SKx81Kj9VwMdDIznYN8+PRHBQeDNlgR8Bz+oegP+eSvsTYU2wJBdEO08HzcE9YC2Q6wketRATUZuP92b88+Hgipo3VYkor77OXQorFoGiTvkGTH9aAx27oTbb5dxBE0Wr7+u371eeUJWrNC9j4iwJMQYo6FDa3/38uUiQG63vCPTpvlWIxlMnmzbzm/Zou+qqNB7N98smXSPxzZb7N5dq+m339bfQUG2xPb00/UdNVWETzvNClqZROKoKFsymp4u4+3x2BV8585azW3aJC+JMYqmWVxpqWa5nj0VUti4Udv26aNn1uPRM/PZZ/IU/elPmng/+0zjr6yabIaH2+O5+24dz86dIke7d+sYy8t13KNG6biCgxVOCglREuuUKQpHvfuuwhNBQdqfv7+237XL3jOTEFpTzM7c6717da1DQmz4qKRErQJqIjRUpMOZIxMcrDHy3Xfajwnjmf2Xl6tSyZCqk04SWenVS/PdkSKH3hT8rwR2B7UqUwp3QPEeVao1hIDIGvkaTtLRFfwPMtm/OeD1amwmJIhc3n+/bYJp8gFHjKi/MMHl0v0dNEjejVmzNCab0p2653i4fz5kbIMP7oXvvoR9OfDOc+B5F4b8AXrfpD5WRxCOLjLy6KOaFFet0kotN1cT8/DhdpvCQt3QRtK7iSwg8C9fwbiR2s8VV2glVNOD4fVqsjKDwqwWd+/WxHDOOfJ8ZGXJbWomkm3bdCx1GZnDgeBg+OsTsGcCbLkOEp+B1qOhs6MSYsIErUyXLdNEWLOt+MHC64Wi3VD8M7TZA4HbIKwYWnkgEyWUhqdAVQqsqP5MWxdkhcLWMJh4ORx/CRRGwfOv6CEfOKn2PbvjDhHMsDBpVjSU/DlkCJw9UImskX0hpJ3e93hk1F95xapRXnWVEpsN9uyRIWzXTobSrG5Bhu7OO0Uodu3y7Qw8ebI+d9pptRV/nfD3l0Hv2VMhlKwskZC8PB33l1/aBnxxcfIYhoVptX/GGVpV/etfMu6TJtUfVjCIilKSqyEqOTk6n4ICkY9TTrHbVlToeXFWhFRUiHC4XCL08fEKkZiS1+3bFW4rLxcJNV1ds7PlNUlJ0b7z8+1zXFWl/c6dK1LVs6fK4E3C9dtvi+ysX6/cIZOQ6nbrmI1HasAAK6LWrZsWCf7+uj6LFokcGjLi9dp75vR4GJI0aJAlI5GR2l90tPbpclmytH69yNXxx9tV8KJFWgEbhIRojsjK0mdnzpQgIagy62iATwlsHfkbVcUNf94dKFJRU2/DhFICWx25mho5OXr+EhJ8vViJiXY8OZq07hcul8bXwIEi9s45eOZMu4CoS9DRIK4n3PpfuDYLPnkAtn0M7kxYdz9sfAKyToWpf4W2I5p2rocIRxcZcbs10fbtq7h8UpKIibON/IIFKpvq3Vux3bpWpA70YbOMjIknL12q+N3YsXKFbttmRcgKCqRFYZIKTztNnx08uO6YnsejlVhmptjwtGmN78J7KBEXB3HXgt9WSHwKFl4J49pB9+qHpVMnGayff5aX5J57DnwSKM+ROmnuOptQmrteMd4+wF6gNZCHVAa9QIQfHHcS9DwJnnwNUvMhvBWkdJJ2xcCBMk6vPynjt2mTjGxN3H23NFT+8pf6EywNwsOhfTLkY9t1Z2bKG7KimhF17iz3+uDB+t4vv1SCYUmJvAJr16p6wnQqvf56uPJKGaSXX5ZR6t1bJMl855VXNv2axsTIk5CaKs+VSQitrLQVPUVFNjnuT3+ScZ4wQR6//WHHDoU7DIF++21Ner172zJ0k4RnhNMCAjTeTTLv3XfLQPv769lKSVG+h7+/DWOZctuQEBGM1q1FStq103YlJTLwRr6+vFwLANO520zGDz2krrVQ3SyyGm63nuEvvrBkZORIjeu1a7VyNQJ8+/ZpHKWlibwZ0vDYY7quRo8EdGxOpVQDPz99V1qaJSxOpKZaQnzWWTqWvn1FKDt10v6XLVMp+rffystTX/n24UBVORTtqp2vYcIpZVn72YHLUQLbvTbpcJbAHi3YtUuevE2bbBVXYKCv2vbBwOXyJSJFRRobZWVKoD/+eD0HDdg4wlvDla+A5wXY/TEkPg2bV8HMz+HTzwkeNoqpHR/gq+RpB3esB4mji4w44XLV3S8mLU0T3aZNen3wgdzPpnLFGasGXuYWnvjDVgLWJMjopKfLnf/MM/qOnj2tIQ4K0qRqWseP2A+jLCkR+cjIkEt+xYoji5QMeRQSvoGv1kLymXDTZiuec/bZOt5du2R09reariqD/ERLOsyrJKXu7V3+8kB0GQSTBsBON8x+BlZlQ6shcNGbykvYUwih4TIQd9xh79+cOTq20FC47LK6yVKPHsoTaGyiXsYC/YydqJ+ffKJr4HYrd+Wvf5XBSUjQ/3JylNcwcqQk9U85RXlCWVkiMenp8qhs2KD9ud0yuJWVB5zrRHGxSptNUmt0tAzuhAm6RuPH24z9LVtsM7vKSnnvzHVKTFRCa9u22mbSJO0jNVUeyJwcJc5lZiqcUF4u75Lx+K1dK6OZnCyjbCbMsjJ5LD/+WM/JeefJe3DuuXoePB49j506iRQYAbpLL7W9VZKTdfx9++qY9u3TfVi6VNeyokLX1iQDezw6rpgYnY9pSBcYqP85pdO9Xl27/HxL2EzL+8xMjadt20S8XC79Xlpq92VyToqK9JkJE+yYXLxYx2caV7ZpY6/NgAG+oZX6ND5GjtS5rlqleeieew58rDQV/yuBrRFKMT+Lk9FqoQEEta47lBLWDcI6N74E9kiFqfwzSdgul9XP6d1bBGT48ENXkRgaqvYZs2bJwzh/viUlp5/eMClx+0PXi6HLRRD7AWx9CDZtxm/lMmb3ns66HgNwrX8XRg87LB6oo5eM1IfrrpMhNd6MHTvs6+uv4dlna5RLufD26g1De8vb8tZbSmTNzdUkEx6ulcvQoRoITQlZhIVp4CQny1uzcqVIyfLlGrBnndWwe/5Qw+0PZRdCYSIszIWIU+B3q2U0IyNFmj75RMzfPGBejyam/3k6qr0eBVvAW1X394R2tjkd5hXRR4JsBt13Q+G9MNENk2fAnJ+t9Ptpp8lAmkk5OVkPI0hHwumqfPllGSUz2TeWiJRlQfYaWAvsWAe3T1e4LTFRRn7CBLnp339fY8mEY3bvFhlITNSEcOONIklvveVLQsaOVd5CDTK8X1RWiiwY3ZTQUI3fgACNzTPPFBGqOfkZpdO1a0WA4+JkoH/4warOrlyp/aWkaEz26ydvQVKSiPeGDTpPj0fH7TSmnTvbxNn+/a0Sq9crQrBjh8In556rZ6ZHD9vF2O2W4m9EhN43EvJhYbbc+Kef4N//FqkxK86yMqtsbHJkkpP1+1lnyRNl2gtkZur4w8Jql7qGhSnEFRSkaxkWJk9bcLDOZ8kSGRavV+9v21Z7HyCCsmaN1e7w99f5mPJeM14LCrRIcl6/p56yrRZqNqfs0kX3ITlZc5apkHFucyAExeuVp9Lp0fAhHbsaWQLb3dejcShKYI80ZGVpEZKQoLFhPJqdOsluDBrk2+X9UMEUVfTrp8X2rFkan99/r0Tyq6/ef+sElwtGXAJde8NX18DCdbADBrg3UvXqczC3jzzKh0JrqgEce2QENOGdeqpeubmaMFat0gRhiIjXywM8yBDW4P/y8fDnWzU5XXKJDIxZzYwda13iDz6oGzR2rBhwY1UbO3aUYUtJsbLeK1eq4uZwkhGAm+6ArWth00fwwzqIvRbO/6f+N34QfPUu7F4HL02HIQWQt6F++ePAVtVJpA7SETVAMuk1kZFhE/ncbkj+Qu9HjoWPvpIRPeUUhQr+8hc7+VZVacVYVSWC6Gye9t57thdOly6Nzz4HyPwRNgDvBcDkPTJko0apeqaoSCTkxx9llBITdfyBgXZlZFYnoLGyYYPOa9w4kZCmKHyCxscHHyjsWFws8mC8aQ89pAno2291ffbs8W0Jf8opImQrV4rQ7d6tc3nzTbt/0+yutNRKjZtuvYWFIuDTp2ul5XaLzHTpIo9CZKSIRffuStbbu9eGJUJDbU+Xmi5qE26ZMUPPgsul/d9zj67hpEnyKIGul0lwjorS89i/vybasWN1/525HMab8NVXVhXVCOqNG2efY5dL92nHDv1eWChism+frl9amvZx6aU673POsSQrPFzXoX17eTz697ckEeQFKiqq3SKhpKR2NU56ug2j1UTnzpqH/u//dCxz5tStHRISouO47Tb7/uczIGcXkKdkcO9eqMqEqjTwpkC0oyzYC9RcANcsga0p8nWoS2CPJJSW6hlKSNCYMqio8A0znnTSL39sLpcISd++0lyaNat2bknNViPmvbRvYONTkLlA1YcTYV7wSSyYcRL399mr+cbpYalrP4cAxyYZcSI6WpoQJ57o02zKlZrCJObRhn34v70JPv1QE/aUKZrsa4qYpafLeGZliVDMni039LhxmiAb45br0EGrNyMg5WwzvXy57XL5SyIoCO57Uh6RfZvhu7fBnQBkQ2mmlFBT0EgxIWF3EET1t9UrhniENKF0+e23tQLdskWr/xNLoCOwywX+a7Xyv+662iz/669tUuqll9rv+/Zbrba9Xk0O+wsrOVFcDPc+DPOBigCbIG2IztKlWnls26bv9vMTEWnfXoZj2za56M1DO2aMjNoJJzRttZSeLtLz1VdWCMzjkeFZskSGEWTEfvhBK+5NmxRSdGLQIJGRnTt1nJ07y7NhVD+NKFdgoLyAPXrALbeIjPzf/8n9e+21cvtu3ao8mLw8XfNOnVT+6vHIeLdqJaM8YIDIR48e9T8Lubkid+vWabz7+Wk1Z+D0cPXqJfI/ZowlMSDPxZo1IqtXXy3SBBoLdVWzmHLf5GS7n4IC5ZjU1eXW5dLzuXWrzuecc2xbg/3dy6b0s/njH+vu71RSouswYoReJlQ6aFA1uSnRYqA4H7ILoHQ5/LzcejfeTYeCer4zArgACG4ncvFpMRQGKacgMg4i4iCqncKila3g5PPsZzduhIp0CMmr3YV7f+0vjkZ8/rmEFk3JvMul+dqobR8pGi3muPr2FWk25fGgxUdYWHX4JgJ2fah8kbz11Z/1hy4XUdL1Tk65VM/R3Q8VE1CUae9pVZXypgYO1GKhoYTZg8SxT0accBhKb9tYHuJ+fs/f6eO3XRPU/Pl6hYQovHL99fazw4drQli9WjH4xEQZoW3bNLHdeWfDDeaciI+Xe92guFgu6dJSuyJ1xrmbC55KKNhWnURqXuuhcDsc54VvgK1Am03QH8AF/bvD+IG242zUILWvPpiafa9XxjozU9c9Jxs+LYJSIHITHN8B7r3XGhonTJncJZdYt/fKlWreV1mpz7z0UuMniyVLlGy5baP+HjMUWveSwTO5HSeeqIqGlBQZ8IgI+O1vZZgfekiGevduuzJxu20lRE14PNo+J0dkxiRDP/+8yjkrK23TttatbQKn08vg56ftoqJE2pzy4uYFKmseNEhjydl52eCnn3Q+XbrYypAvv9Sx3X67Xk5yaWTITV4WyDt1332++y0tlRFdtkyeEvMcmXLbykr97nbrGvTurfvm9DK43Zr8VqyQhovp8ZORYUnECSdYmfs+fXT9w8JskmxZmUJFM2eKLBnXert2toInPl7nbzyhOTkibsYL1aWLLxlqLtS3T69Xi4B9i2G8P6TvhfNbg3t5dWhlF5R7oBwwzpJdjs8PAMpDwNUWXK3B1Qq8keANh9gucMG9tgR24X3gzZSHJA/Iy4HkHP2vTRt5egw+/9zqXtREq1a20SYotLt3b+3mlCEhGg/Dhtlti4stuT+cHpfMTBF444ENCBARiYuznjWnoT8S4QwBZ2To2fGUw6y/Q9wm6JcjQuofDj2vhz63QlgnPE4HXWgotO1q/16zxoZDv/tOi4PJkw9Jdeivi4w4ERjIPCYzj8kULiwlbOE3cocuW6aVpzPBdOVK3ZSzztJqedQorfJMcmBBgW/Z6KZNGriNrQ0vL9fKa9kyfc+aNfp7+vQDmwi9XihJFdFwEo+8jfXHhHvEwuQ4mJsIiyuhdRzctBGCYmrv+2AnjZwcGazsbP10VajFtj/QKk7X9uqrRUjOP9/3s1On6vqbVerOnYpvmsqLf/6zcfH0ykox/v/+FyrLJaA2HbjvP3Dl77V637hR98HtFtn86181Bs45R56SZ58VsTAJkytX6n6Z79++XV4VEz4xzQCrqjRZn3mmNEJARrW83LaT79lToQqnF8Ng8GDpF0RHa/Jo6H40lM2/apXugdstQ2NExYzmRkCAJjhjkM87TyGOoCBbfRYfL2K+dKmI+qZNmrgMYTDewLQ0jetp0zTpm3BLaKiIzdatun7x8VZo76mnbHdhJ0yex9q1loz076+wltH6ccLfX2EYg0mTRLoMcfylUZFfu+y1cCcU7ZB0ubMEtieqODNwASGB0KZr3Xob53VrfAnsn/5Uv3fGOd7Alis7Q0/Ga1DTM7J5c/3EJSzMl4y88YbGjNtdO3cmLEw5WAarVul5q4vkmFdT5qbiYhnshAQ9qzfcYGUijjtO5Lxbt6MzLBVRBVM98OkHkFkmyYTEEJg4Ha58HOIbmfs4bJjm1zlzdI2Mxtfgwcrl69Gj2a7Pr5eMOBEcrKTXs8/WJDpvnm8c8D//scmvfftqMjv7bN0Mk5diDJDXq3LerCzF1E0Yp6Huu9HRWmlPmyYX/dKlmmjXrtWK9Te/qZ/YVOTXXTpbnl339n6hED3QkdtR/XtwrI7dfT/seApaZ8Cav8Do6hyMigoNyA0bNIkdzCRu5JBNJYO7XKuzsFCtsh980NbZGzhJkMm/yM2VMc/Lk9F8553Gdzm+/34l5gL0iYVTtkJRN3jsJRGGpCSFJ775RtuceaYM5cyZ0uAoLZUBDQoScUhOVvdbE7IArU4WLLDfWVgoT1pKiibzrCxLRsaNE5EaMMB6N+rrVhserpfpT2Ikvw1+/FFu1ZrquR6PCNb334tIf/utDEqbNppc4uNFkiIitP9bbtHYc+Y7pKfLS5Gerr9NX5fsGuMtNFSeQtOL5dVXRXCmTNFYXr1aq23Tut7knEREWHGonj1l6EzPHaPCWlGhe7R+vV29myTPtm2twmyfPnq/f39fghoebknMoYApga1LtrzRJbAdazRj6wZpfjBwAkR2bp4S2MjIxoun1VWCXlVlG0Q6MW2aCLiTuJifNUmOKUv3eDROnH2Aaj7LCxZY0cGacLlsvhhIkmDHjtpkJShI49Dj0fxaUWGPYetWPTcBAVZk72hD3kZpRyX9BzwVcBpQ2B12j4LMcEjyg4efUXsNo5HTEIwq9JAhIiNz59ow6dq18hg3U2VoCxmpCX9/kQwnOnTQBJqRIWO8YYNKNnv0kKv4llvstsXF2j4nx1bxfPSRlf/t379+Q96unYyTISVLlui7LrpIE1zBZt/wSt46TXp1weUHEb1qJ5SGd6t/InO54I6/Qfp4+GEabHsd2oyB7lfJaM2bp/P76Sfb9OxAkJpqEwfLyqAV6pI79XR9B+h6mVX9rl1KTr3iCl8PVGSktlu0SNUrTalUuflmnccVV0Dod+pdU+yFzG9EFioq9P8//EGrs379ZNzXrNFDGRkpIxkUZPMxwsN9++x07SoZ8LVrRTCNLHxEhDwe3bppIgwOlmfl7LObdh3XrlXuiJ+fJSM7d+paBQaqAskYm59/llCb6WtiEvACA3Wdo6Nh9Gh5inr1UpXS5Mk67mXLZPi3b7ctD77+WmGq9u01pvfs0X4GD5bHo18/EZblyxV+yszUOe7Y4SsVDyKaRh9l2TJLRkaOlMGrK9HTWa0COublyxtPRhtCcbFW4eXldScnej3yPPp4NxyVKcUpNL4Etntt0lFXCeynn2oxcFoInNv14M+xOWA8VDVRV3i1Ptx9t65zzYRfUwbuRO/eIhQ1tyspEYFwrtDT0vS8OVFZKU9Iebk8Hy6XDGl2tp5bE6Z3u30JzF132YXBkiXad828GfN7fPwv723zemHvQtj4NKTOsu+3PQ76/Qk6TNecv327FlOpqVaewlyXxlCBHj00F2ZkaCFTsyfV1q2a8+pbRO0HLWSkMbjjDr1Wr5Z796efNPlu26YbY0SsQIP697/Xym3pUhlKUzq5fLm8KqaUsS54vRBeCqe2he4xsHEZLDlJRMRTodLTdoDT7oZ0qF06G9kX/A6g1t3PDzpMgUEPwpr74f3r4Jy2MGCa1Dw/+kjCTvvz9jSEpCRdm7Iy8POCB4jyh3GnwUsvaxsjQ19ZKY9Haqom49/+1u7H7Za3Kj29Njv3ejVJmSqTTZt07yZP1ntTpojlf/ghvDhbuTKlqeAOkJEzFSRbtthVf/fuuncpKVZNdNQoGW6TGOpM3oyP17VaudJe2y5dRDYvvvjgSwHNOZuqk6oq5Z6sXauJ9o035MUCGevCQp1b164icccdp5cpbX3rLRGqjh012fzlLzZ/xYnISL1vBNRee03Xd/VqkWeTZJyfrxBm585yf994o66n0e3w87PKqoGBtiGfwcCBWp22b69j7tVLxKcuIUO3u3mICOjevv1/EFAJ3TKheJcv6SjapVh8Q/ALrd2Qzfl3QETTjslUScydq/M/wPYXRxxcLpHQoKCGNTJAz019qDlOzzlHpHjHDt/2B2YRNGmSxm/nzvJIrlun/xtBPqNB43L5kt7Vq+3zXBdefNHOAR9+KFJb0ztjCMz06XbblBQ9KzVDVaaUvS54qiD5cyWlZi2pftMFHc8WCWk7znf7Hj3sgsQQBo+HgKcf40o68xVT8TUs9SAuTtpOzrZ2BQX23CdNUp5dE5vctJCRpmDoUL1ALPDzz/W7YcKVlXLnh4ermuOMMzShp6YqLrlkia9Q2o71sOo76FYFlVusx6PSkQ4fhZLLAArCYV0YbI7RpHzWeTDktNp5Hc2BAffCC/+ApF2QdyHcm6gB9uOPMn6zZ8uF31Ts2ydCk52twRyIFpFtYmHdel3Drl2touqsWbp+EREiAh6PjOYZZ2jyMGRj8WKt7I3nZOlSTTIgA7hunSas3bu1wjIT+roVsKVQ6q8RERAWrjhpq1a2gsQ58V98sX7+/LNI6fTp1t25a5dCepdcYsX4TjtNpHXSJH128OCmX7P60K6dwiqffSbSu3KliJkJV/z4oyUjsbHKrh8+XEY7OVmfefRR2zdm1Chdg6uuEsGoqrLn37+/PjtwoK5hbq691vPm+crje726j/n5MgIZGXLzd+rkS9i8Xj07QUF6z5AOg8BA3ddDgcpi3y6wzlBKwQ5ILVCPpI/fhw51fN7lB2Fd6tHb6A5BbZs312DIECUPLlkicm6UcFsgOKs/NmzQfGvUeJ9+2hLVE0+0PYkMzALHJD07PS9lZb73ccgQkaaanhnzGWcVZl6eb8+ymjAeQNAz9PPPdZ9XSIjutyFrP34Pi96GfXPBk6E5NCgAuk2Dvr+FYZPtcRj1YOc5OMOuGzfiSk1hHCkMZyXkPwJhDYTujPaOkySZ7t15eSLy69dL76l7d80X9Qn81UALGTlQ9OplJ3qDtWutOuNnn+nVqhWMGgEn9IPf9oH81+H76hyPeamQCLiBTqhBWyfU6jmyr294JXoQlIZB8CxN0Ps88I8F0C9Dhrm5+8e4/eDsp+DZy2FlEbw2Ee7aLALy0ktyZ55wQtMaOP30k9zNEREyPPv2QXGGRmGvgXoYvV49pJs2yUh+/rkM1aWXaqDfeKMGu1E8dbpEY2OtgYyK0gSxfLkMtp+fjPeECTpuo7A5ti28B0QFwclnKcRmeku0b6+Ezbo6tk6YoFdxsfqafPyxVkEejx7W++/XdpdcoldzqGh6PPI4mKTmuDgRjqoqnfu+fTqnPn1UzlezF0ZurpJJN23SxOE8ptxcXe/bbxdpuO465UNlZWly37ZN93zfPk1wQ4eqgqJ7d5E3kzflctlVanm51TAxZdLh1WTPCAj27y+C1qVL87q3PZVqvlZTttz8XZrR8Oe7AVtDYG8HmDCmNukI7fjLd4G98ELdu4wMedxqJnf/mmGaRC5ZYrsxg+aD7GxLRhoS8nK5NNc0JNNgWoU0BhdeKA9sXbozJSW+xCUqSp5O53agZ6mwUNuWZcGWv8OMZ2BD9Tm6A6XlFDUQ0kMgYSb0Gmf3/fnnqoIx3qeqKj2/pvO314urqJRewA9MtDk9n3+uRWBdyc2RkQq9GsyYIS9xSIiONSNDP5OSND/VLKGvBy1kpDkxbCjMfgdm/Avm/wCbdsGeHbArAWYAIwFnhKYN0D4a8iMhPwbWtYaUjnDcqTDoeD1ITkYbhlaYJqckIUEGJDFROQNXXNG8qnnTfwMblsHcZ+GnHRD3G/jtZ2K769drEP7+943b1zvvqDoiMlIk4p135A16ZQx844bMcuU7BATIFWrcoR06qIJl2DD1f1lfXSPfrp3O1VnW6iw3W79eq32vV4Z62jQZv8WLFa459VRt1zUDJgGufjKcGRk6hhNO0DZGOMsJj0fJdB9/rHtQVmYT8CIifPNaDoaEeDzKofjxR12LLVs0oSxapP+biq3iYhGQXr00Ds4/X9t//LGOxxCBlBTFzPPz9Zn4eBGqAQO0MquosF4et9u3kqGqSudZWiqSsWCBvFZ/+IOub+fO2q+BSUiNj/ctEQVpqRwsTAlsXUmi/+sCW0eIyYmAqNoeDfP74DJ4+TWoDIMxTx8ZWhphYXKP//3vMjDDhjX/IuRoxKJFWhAYRETISzpu3OHt7eMss98fzjpLLwOv1xKXrC2w4lZY+y6Ul2rBGhMLsWfCokLILYDCTEs0fv97PaMREQpLm339/LMWyl6vFhnVJMHt9iOWWB7hr/w5uHqcb94sj0ddqDknmmvsDEOZRYypomsEWsjIgaIko4ZeR3XpbFUxtAcuRboZq1Gex24/OGEg9D5eXo5l+bBjFUyZKvf3hg1i9fn58P0PsGqNVv91uXrbtBHxmDpV8flFi7QyqGsFfzBwueCOx2DrSkiaD19/Dt2egwsulaHfuFFeh1atNMCN2zgtTV6Q3FytSmbNsiSirEyGPjoa1nwB4UBcV2jXG2LaiFGHhGgfgYHa7qKLtBL84AMRkClTFJ+sbyX9l7/IAwMKV5x7rlb2//63DHpAgK7f6NFSIZwE/NRe7594okIrkZESZlu8WN4g06nW45EhuOMOy/hbtVKiqknIdVYBHQj+8Q/lbGzZUvvBr6zUisXki1xwgY5n0yZ995YtCqEZ9OxpycikSfKsLFwoMtK5swjgwoUK77RuLU8FaILJz7flmyAiFBmpz5aX+5K/007TsTkrWFJTRZaaGDv+H5wlsLVIR1ITusDWyNcwxCOwVf2fjfBoMjfCcs5mnIcTgwcrBLxokQj9Aw/8cr1rjgRUVirkGhJik7YHDtRcMWCArs2AAUcGeXRi1y4Z6NxczRP5+XoVFmqc3Xyz3faKKzT/FeyFnN1QnKO8OoDW4fDl/6nLutsf/jvRt0sw2Eq3qCjNJWedpVC2EeXz89NzXFQEHTviievAsq9a4cFxzSZP1v/ry3dxwoSu68KePVos/+Mf+71Ev6JRfICoKJQEuunBYl5le+ve3i8YIvvb0MqU6p/uGBk7Y0CfvRGWrdQrIECT96RJmsw3b9ZEb7b1eDTxDB2qychMPm3awOWXi5Skp1vXnNeriorRoxWOOBgEBMAzM+CiIbBzDzz2J5hWIAMTECB3XUGBVmwmLFBQIAPp8YhkmUZSnTsr7r1pkyaS5M8hBrj8MhhwkU0CDQxUIuaWLapxX71aYQ+vV9/REBEBrYg++0xGuGNHleeuXauJLDJSD//MmTC4qwhkqAt+fzf0GVq7/8qPPyoR9JNPlEexZYt+9/fX9b3gAj24brc8Rd9+q/N1ytTXB9N35uef5WEw7mGjNQO6Fj17irAOGyYS4EzYLSvT5Ozvr1doqFVdbdfON6mzRw+RtLQ0XcuMDE2OJlbu8dhjcLv1fdu3289HRup6ZmVpW2crg4ce0s+KCktK95dkWVVWXQJbw6thfq+vPP1/cNUoga1BOkLaH3gJrDn/H3+UN+lIISMgcpycrOf+10BETOPHhATlghUVaV4zZCQyUirENVWzDxZGC8noBAUG+j7Xjz+u/xcWiqAXFelnSYnmb6cH8IILfD2HTrRrZ8mI1wtbV0PqduU1GfiHQWBriO6iZncGw4crdBoWZkv+w8M1x5mmnAsXaj5+5BElrAcH6/1qAcmyIrim5jrW6K0cLDp1anSJ9K9gJDcSnkoo2FpDr2OdJsc64ZISaa3S2R7Kt9gfLrtMg2bRIg1oY4Dcbj1ob79tt924UUZryRIZF+OC7NJF3gsjumWwerUG4MKF2tf06TZHwomyMhkm87A5xblycuSBGD9eBOHWV+HacyCjEsqfhT6/8Y2ZO5O0YmNFGhYu1IMWEaESyTvvlHfi8cfhT3dCaAUcDzwypXbN+2236bz9/CSdXV6uyee112oTkdJS5YaYXjTTp+v4P/tM3pS8PF3ryEglSHbooFLT5f/V9tGDYZSjVNnjEan4z38UDjON4pYtE1EEeUYuu8z3OPr10+dMeKjm9Tbkw4Rdtm614Yxhw2zDtbPP1v2MjdW5bdyo/b73nvY7ebKdLH73O5GZ1q21YvF6NemlpMgbtHmzDbe43bouRUW6rlkOvYvQUN2n3FzrWr7oIm3fv78S90z1z5/+pO9whqNAXqSZM/V9HTuqBLY4pYawl4N0lKSy/xLYNnUkiVaTjtDOvs0WmxsjR2oM1xWqO5wIDZUg4NEoxtUU5OXpeUlIsNpEIOPWrZvvM9YQEVmwQPsyHomCAr2KijQX/PnPdlunh7NmrkO3bpoPDD77zDc/pSGEh9tmjMbDEBame9mhgyoljVz7+HXyhIS5oPtpMPQm6DpB81dN8vncc3V/X0mJcrzuucdqt2zZYj28RyCJPfKO6BdE/w4buOuMJwlesA4KEutXJw1u52j8NrD6Z38rq3wgMAmQHo9WXqZkOD1dTNe5Ql+2TB6RPXtkHBYs0Kt9e5GS8eNlSAzat5dxW7hQ+5w3TxoZPXuq2scYsl27VBpbH5yqlaPHwRmXQsnH0LYAuifD8c+IqOTm+lZBlJZqtQ5ixjfcYN3/aWkiX55KVbCsD4Xzr9B5vP22JRput9yv8+ZpUujQQf+vmVy2bJl0ALKzlSNhxKymTpXR9PPT5NWunTwDoaGauCZOhKqvtW3cSfq5c6cqcObN03U2xxEQIKITF6dyPfCtijLo1UsPeU6OyI4zufe995TVX1ZjjBnRNOf7AweqOqWuTrFhYZb4eb26vgEBIiwmMa283E6mKSm2uR3Io2K0TcrLdT3CwqzwnvP61iRboAncrPDatVNSXeFOSFoK8/8NrfLg568htLAJJbB1hFEOtAS2OdGrl81zOtLgJCL5+TZB8WhHebldDL3+ush0ebnG6PTpmuv69JEn8YsvrDfCKa7Wp499TkHb1vUsgbx3TjKSn19b1yYwUM9FzXFwyil6zsLCNP8aEbmoqNqNMY1+Uk1UFMC2N+HL7lCcrPfGhEGP66DvrarYagqKi0VCjCYU6DmdPr3uOesIwq+ajDxw7oNcMPZjWzrrRFBb6HyBXGKtxzbO23EgcLutxDworJGcbI1yaanCEmVlIhndu4tlp6XptXixNa6g1fDTT+v3gAA9XOnpMrQrVujnq6/qATKtzp3N05y/O93wrVvD6+9AxtUw/2TwzoWABbC6m1bDEycqdrhli7wXBQXaz2232ZCC1ytvgEmiCkDGyJyrOcazz7ZZ3SefrFLedu18k8EqK1XN8eGHWnG43TqvZ54RAWndWpUjn3+uySkmRtdp0iRNIuHhMOsv2ldc9bVbsUKhFtC248ZphZ+UJAJnFGPDwxuWWV+5Uq70G26wZW1duugeBgeLQERH6zgLCrT/d96xpX6xsdquokL3yVwLU6m1fLnt//Ljj1o17t6t/QUEWM2G4GAZrc2bNb5yckTqIiN1PcPDRYgTErTtNdfUjrVXFvt6NDauhLTvIbgYZn7gW4betfpnFbZZm8tfIl51JYmGd2v+EtjmhNt9ZBIRJ9au1dgZPVqerMMFj0fPhsdjn9PyconomfwI8/wUFur3/v3VYsHr1RidPNm38V5JiQxqSIgM6XXX2e/76af6CYYR9jNo317zhemN4wxp1Own9sILNlfNzIP1eREee6xJl8gHJWmw+SXY+hpUVBug4Djo8wfodWPD+UwN4a23ZENA5z1tmq7dkdLYrwH8qsnInz94irTc9tx82Xr8CmrkgZTtha1/18snD2SgDcuEtG++ibSyUu5Bo8aZnCxDmJKiFbbRkFi1Stubhm2Rkb4hkvnzZfA7dVLewODBMk47dij+Hxtr8wjatvVtcNUYxJ0IQ5+CuXfAo3+EM57S+z/+qGvxww+akHr1kjF2EoisLBlNT7X70x8o9YNwl3rRvPOObdc+eLAN3dTs3JuYqDDJzp0iIuHhuh7vvafzMwqff/2rVXc0JCQsTNf6k3fhpU3QFji/OkRz5pnyUJ18sshEaKi8UY88Is+DSdwaPlwPd3m5JsWfflJobPt2eWhKSvQ9CxdaMjJ2rCbf9HTdHye8XuvZMBNfp07yLu3dayXQzcvlkgDcTz9pkm/XTtc2MlITkFMOfeBAvUCGq107fd6ErPr1hSULoH0Q7Hy7dq+U0swa1x71EWoFGC92VSQUhgBtYfQ0iO5tvR0hHX75EthDgfx8jYcjzb3t7y/D/v33GpcHkiPm8cgLmpOj8zRJlnl5Isvdu9vGnrm5IgU1y1VNztHYsTbE7PFIx6Y+FBcrAT8hQflLxcUam4aAh4frmoeE1CYNF1+sczfh16gou5iq2QZhzpzGXwtns8ZDgbxEh1x7tdcwordEyrpd1nShShNyNR7NU07RfTQk5Egl+nXA5fU6ZdSOTOTn5xMVFUVeXh6RzbRSKSqyxSeFhdUJ/3VWyGyAqnpixoExvjogpteL07VsyqpyczVgTOfHzEyFFUyeRs3Y49SpttRr3z55GJKStArOy9Mg8/PTw/PAAzLeBQWSVy4t1f+cHSdjYvQ9hYU21l9aqpbxJ58sQ9nYgVtVBed2gsI06BAEA+6GDz7XhHLKKaqWueqq2qJMa9fK9Z9YHcKJdEOrbrYsed48TSoZGTLETz5p8ygMXnlF4l0mHBEeLgJQVKTvi4uzuTcgwhIbqxu8fr0Iy/ffw749ylmICIX1efUbGa9X8fmsLF1fl0vJtH37ijDWPD4QSTT9LZwx5jPOEJEqK9P9Md1lKyp0vJ9/bkX1TjlFZMbfXxNzYKAVB/Pz02RTUKBzq6oSmfnDH6xYnPP4SzNELvK2wXdfwI4V0LUC2rmhLLW6xwhQX9TRlMCGdwf/TlAYDWGdYMB4mL0Uflik47r33qbpzhwteOsteaNuvtkSuyMBppz8n//UWImLU9g1KEjP+ptvaow4vREmwXLcOM0boDnl5JPr/x4nwSgt9W10VxNDhviGSM4+W89CWJhewcE6pr17tS/TnTwgQPPSpEkiVUca6TsYeL2w92dIfApSZtr324yH/n+GDmc0PdG6qEhJqfPn694ZsmjMeRNISJ22sBnRWPt9dN3xjz/WZDBmjH2vrKz5YqUhcXq1O8W+56lSsp2zmiZvnZJdS7Mh9QfI/EHbFgMbgKrWUBUHFa2gPByIgMBomDrN9h9xu61CoIG/f+028CAC87e/6b2oKI2YWbOU1HjbbVbV89NPlUvSpo1WFFVViqt++aVWyZMm+faNWLDA9trp2lXGcsCA/Q9kPz94fDbcPB5SSqH8CdgdolzEqChJude1j7Q0EQ0v4Iek1wMCZNBNTDU7WxnzbrdvnxeDXbu0ejN9K/bssZLNXbroWixdaoWJunWTMfnkE99eFX5lard+wbT6XZilpZrks7JEjjZvFqkzq8+OHbUqKyzUMRivRUGBJgUTPjETbkiI/ud2yyBUVMgbYjLbv/zSkpGLLrLl2h076tx69dL4j49X6A7kwVm7HFK3wNZvoP3qGr1SknzJdCQw1Jxf9U//IGjXtf5QSn0u46XVRMTlUr7JsUhEQPfA6xUhaW4yYvKrTEdnZ8lnYaFWt0bcbOdO65UoLdXL49ErK0ter08/ldegsNAqENcFZ/sEM9eYEJ8p4wwN1ct5zsHBIr0REXoZj4QJ+daUFzAq1QbFxcrlMn2kevVSHsjw4Q2LjR2N8FRByhfqGZO1uPpNF3Q8q1qufXzT91lYaEmIyTPbssUm8x5FnpCaOLrIyE8/6cEzZMTrVaKfifHVzH3o2NG3IdCBoKwcErMhNxRyekNuLOSOgKy9sG8XjImH0YEiKXvWwNoMIKv65UCQG1bMhbYfV1fd9IfzToF2fewxh4fXPZj8/HzFjaKj5WGomWBoro8JdWzbpskiIkITWO/elox4PFodFRQotJKUJAnfrl216jZdUOtD/2Fw9WPwj9thbxn09ULAWJ2LkQuuiaQkyM8TGXEDQeEy7qZOvrDQ9n24+WY7CTsTMO+/XzkqGRm22ZtJ2G3Txnp5zP9A+0xK0t8DBsjjFPIglGbBCZfXJiNPPKFcnB07bFza49GSwbRONxPn4MG6fkYQzHg5TCb+zJlWGC40VEbH5HaYUJvJrHcaiAsukHcsPt5RArsDihLhp0eh93aIroQtM2BzNuxB17XOfE8XhHayiaEFwdBjrH6P7Akh7Q6sBHbAAIXSevduXpn7Iw0jRsibtnq17mt5uW2uZkIaXbrY8t9du6RSbHIkTO6DCWtMnWq9Etu2yStYH4qK7HMQEODbu8fAz08hV5dLC4xhw0SAR4/2zY+IjLQ/nfNiaKi8iTU76tYHpxheQ8jKUggmLc3me4SGKr8sOFjzz8H2ZzoSUVkCO9+FTc9q0QrgDoJuV0C/OyCygXyz+lBYqMXn999bEtKxo/LMhg49qkmIwdFFRk491fchKiiQkSgtVSzeiL0YjBxpt/d4pO8fGQnR0fiFtOIMghjKGgLuL4a20XpQcnL0EE+Zos8VFdW/wghsDUHDYPjV+ruyEtxvQ0AuuDPAvQc8O6ByE1AI7IZd78Muxz7yIm2FjvN1IAlMr70mD8Ps2Vq15uXZ6oedO1V1YrBqlbwFY8dKAnzlSk1kSUlSeOzaVSuY+tylKSmwMRMCu0PVDggrh5AyEaH5863CqRMTJsD4XrB8vUrXgqNFsrKyNGGZXIoLL9SEl5mpcuD0dBn1oCAZ7+uugwcfVG7N8OGaeE8+WcTms8+kefHkkzZkceWVOp9LLtEDXJwKn19WLUpXDh887Svtv2SJJmfTOdTPT+QuOFgG4YcfbGfnigpbduhy2bBLZaXNoTFk5KqrdF/i43XM/5NDHwSxAVCyC3b8y1e2fMnO2iWwQSjXBaAc5W/4BUNpNHQ+sXZFSmhn+OxLyPHCkIk20/+TT2D1tyKfjZG4Li6WR65DB61mw8K0Sj5aJkKPR/fFGN19++T5cnojnGGN008XKezRQ8/Rp5/q2arrmTj3XJsfkZfnG56rCdN4EbSwCAvz9UaEhNiwhvO+xMaKKBtvRFSUyH9kpAjwBx/oGf7Xv0R2nKqk+0Njicj+UFamxOqEBK3YDc44wybEH0hPq6MBZdmw9VXY8rLNtQqIht43Qe9bRPoPFF98obw8UD7Z9OlaWB4tz14jcHSRkWnTfLPbIyO1AqlLIyM311d0qaBAk091uapfBdxJIm3Yi98sIK6tTZhMSdEk1Lq1DFx6uh7+nj21Tffuej862vd4/P3hckfGt4HXq5Vt7jrfcE/+JqlM7luklxP/68TrSJiN6tdwgpO/v4zkaadp4l20SEbcVEuY8lqQSmlenkiKWSmdeaaIwaJFMlj1EZFly6QXUlYGoy6CHZ9C5ibIWQoxHeoXuRk4EB4dpQaBcb+FJd1tB9ytW2X0TzpJ3o8vvlDiaGamJu8LL7QuX5O8GhAgMpKaqrBFcrL9ri++sGRkzBi9iotlJL5+E34GsoMh5K8iD1On2pVtYKCMjzl/4/XIytLD/9ZblowMGyYjYEqAg4K0+iwu1s8xY6pFxbJgQAjM/CuU7alOEv0RCt+BZbukM9AQ/MNELrL9Ia0SOg2D488X2aAtbK5eaY98sba7OyNDx9yhg1b5howkJur6NjbTPiVFq7OqKpvo90tl6dcUoDIEIi9Piw5Trr56tbQX6ir5LCtTorQp5Vy/Xnku9aF9e80Dpsx89myRlOhojQNT8hkS4htWjY+XsTDiU+HheiZM6afpLQQix8uXN+4aBAb6SobXxLnn6pyakv/VXNizR+GDVavsyt30SRo3rnZS6bGEwiTY9Dxsf8uqAod2hr63QY/fHlh5ekGBiLPJMTztNIV8p06VF/IYIiEGRxcZqQtBQYpV7y9eHRYmz0A1YalKy+G7tzswha8huEwTyhVXaFKpqKhbf2PpUv10JnRVVippNC5OzL9DB002nTpZY+ZyQXhXvTqeYfdXVQ4Fm30TZnPXQfFuKEnRK+0bu73LDyJ61SG01q22m93tti3iPR7f1Vhurgx3UZFCEYGBOvYlS/SzXz/fSS8zU8Zs6lQZgw8+kIHt21eiW+W3w2W9oFMOnLoKhtcQMDPwVDHxt/9maGd44e1L4ORJOpbzzxcRGTJEBOTmm2X09u2TQfHzk8dnyxabr3HTTfKOGONoznnwYLUPNwldBo8+qsS6sjLIS5HGiccD7LGrykce0bb9+mkVbB54j0fna7rM7nK4ti6+WOJoXTtBxxjoGAad/WHWj5CzF4LfgI8f9C2BrQumBNaZr+HTBbaN9bwkJOhaOTPNIiNlnNPSbMdg0PbPPadj9njs/woKZEDM+TYGKSmqGCork1elZs+ZuuDxWNJgVvQgMjl7dt0JlsXF8mIZ+eovvtAzVh+uvtqSkdxckeX64EwUj4sTGXAKUDkVLJ25aWecof1GRqp0PiamfiLWpo0tr/8lERQk7+8vlXvhFB3bu9d2WI6N9U2cP1aRvUoiZbv/a/sgRQ9RPkiXC5QT11Tk58PcufKoDh5sw1tt2tgqwWMURz8ZaSz8/X08JVVF8DDn8TD3U7ioRgZxdjbccos8Inv36mVWZMXFvg9YSoq8DzXhcmlSO/lkKY6CiMs772jl1LGjQgeGUDhRnqcqnppqsOU58qbkbwI+ttv7hapzY81QT3B1kpjbXTs2e8UVGvCmPDYjQx6KgABNIs4GeF98oe3uvFNGpXNnMfWrr7aZ8q/+ACunQMlOSLgKjv/El72npcGNF0BWpYx17PF6Pzparv/HHtP3TpsmguQUHfPz07377jtLRvr2lTGtqtK1nDJFBmPzZtu34957rSprQYEMaVUVim0ALq/yMTwe+OgjS0bOPNP2BfL3tyGXAD+IDINx7WH1vbYM9p7dUOpY3VagnjvJwCYURgGVgteXJNrYEliXSyGSmjBiZjWTfhcu1Mrb7VbytLknmzbpZ8eOvoJ5NVFcbJOG33xT1zcqSsR1/XrdL1N6/e230mkwuRHGo2Qy/P/wB5tvsHatwoH1wZls7PS0Ob0RJqzh1MPp3Vt6KU4BKvOKjvZ9DoxibmPQv7+8h7m58sQdqbkOTiLi9Wrs1qxqOxiYTtgJCfIkTpum9wcPlldz1Cg9q8fgyh3QNU3/FjY+BRkOIbN2p0C/P+vngZx7fr5KkH/4weapmWZ2x1JlUQP4dZxlUxETo5V3XTBNwgz8/BRb3rvXNkIy1R4FBb7bpqTU9rgYgapWrRRWuOUWCIyCVqNhixe6TIMR8RrgJamQu963/Ng058teppcTwbG+HpSogRA9QN/35z/rlZysPIsFC2yzNadWwc6dqmIy/2vVShNSerqqAIYN07F1GQRhn8J3x8Puz+D5iyC6mrBU62Jc9eVP/OCFH76p5MVqGe8HH3yQ119/nXVr1tB6+nRYu5ZppaUUu1zMCwrCHRensEJFhZotXXutDJLbLeOWmqpr/+23ypkpKrJGsKhIDzdolWsMo5kr3FXyKPn5VeuRpIlctNoJo7tAWze0KobovdCjFBYDKUUQ/CVs/LL22AiItuRifChk7YTALjDtPikp+oc0NOoaxoYNMob1VY7dcIOMs8tlBai2b5cQXFKSPCInnKBtly0T8dqxQ96BxETfBMvbbpN3CXTvn3hC1yc11eZdGALerp0lI4WF9Xf6dLt9VWY7dZJ3JyTEt6eGIRFOtcjx40WqGhKgMoiP983/aS64XAq9+PkdfFL8L4GsLHj3XYWaG0qQbQw8Hj3/ixYpDGaMZUGBvKWGtB9O0bVDDU8F7PpIGiG5a/Seyw86Xwj97oSYYQe237w8kZAff7TXtVs3jbXGVDYeQ2ghI02FKXcz6NhRTd2c8Hg0ce/a5buCKi3Vit54WcrK9MrI0Ms5yaWkyPCCJsCICBGBmBgZ5+POhPP+JQGxvC2QsQLKt1aTlPVQuF1JVKXzfBk8Lq3KnR6UKybD72+E7Fx5QUz/ApC7+fvvZcSd3R7XrROR6d1bORwuF7QZDYOeg6duhu//C/13K9N7+HCYO4cXgS3AQD8XD8W0gQkTaHvPPXzzzTdce/31fHb11fz9pptYBKyJiMAdGanvNfoeLpe8KOeeq2MLCZEHw1nmaFbhXq8S6QymTavW9agCtwf8XRASDDH+0AHokQqfOapZ6ioY6BYAmWGQEwu9TqktYe5MOi4uhoW3Q6EXPHEHRkSSk0UUkpKkj+LnJ8NcXi7D/9vf2vDEp5+KeDgFqIwAW0WFxpZRjd2wwVZeFRXVrtDIdAidRUeLSBQV6WdwsEhE27byiDnzskaNktCcU4DKvEJDfcMaw4f76lE0hMDAI8MTYRpBHg3IzpYXy+vVtT7QkuSvvhKhdwormjYUY8Yc+8ayokC5IJueh+LqsKZfKPS8DvrcqtD7wWDJEitr0L27SMjhyPk5AtBCRg4F3G6RlJqNxPr0kRfCIDdXSUnJySIvpgslaGUTHi4jUFVlk3N37tT//f0Vs3f7Q24InPOYJvzoaGg1BFqfqDLPyDLoWgkd9sqjUpopolK4XV1z/3fMQeq303+QWlanDoScMJj5pTUiISHK48jOllEKDPQtAfZ6odd14HkOWu2AxCV43niRhb95i5HzFxDlhUAgFDftTILt6afzn//8h6FDh3J3nz68BLwVEkLnyEh9h1mtgwz8M89YMnL88b79c6CatFTfA285LDzfVqacUKFr0gno4oW4YpUY/++zbgjp6AiddIUvEyA/CK76E0zpD3dXx217P+YbPjDeiOxsq2JZUqJQ0k8/KYQEmtw//9w3P8KpG/Hkk7aS65NP1J8jJ8fq6Tgbhh13nCUjVVU2tGWuVXm5DRd26WLd9bGx8mgEBuq4YmKsZkRUlG+H2qlTRV62blVYZsgQhVfq8tB07GgVZ1tweNGrlzyt8+Yp2fyBB3wXUfXByK87c0Fyc+tu0HksoyTdIdeeq/eCY6H3HyTXHnSAuTBG4LJTJ/194ol6tiZN0vx/rF/XBnBAZOTvf/87Tz/9NOnp6QwZMoSXX36Z0aNH17ntm2++ybvvvsv69esBGDFiBI899li92/+qYFaNdWk0DB8ud3p5uVauu3bpZ2qqVq4mFwJsIqIxbk6DBWLbV3yg3zevgCuuglBvdTluAYRkibS0WgXtV0G047MPBUB6MJQPg01eWJsKudVVCsXFticO2AZNV7wMz10AuUVUfP0hL745nf8G2NW2x4sMdmUlzJ9P9+ee45lnnuGGG27gwokTuWTlSpGMqior6mQ8HllZkPGDzdcIdEOlR6TCHwjzQgwiGz09sOcTe3zXIMLh9UDbEyQ6FN4NgjtDRWuIHwBB1RP22rXyEn1TAO4icM+E4o8UL8/NFaG48kpt+9RTKqM0QmwGxcU2XGewdatCDvXB2Wa8XTsZgYICGYhhw+R2NyENZ3+cyZPlrSoqUgLwP/+pffXsqWvmTDYdOVL5NBUVKjduCImJIsygFVtc3LHRkO1AUVCg1WxZmc2XOFJx9tkaE0bt2YzXmvB4RDgXLdK4//OfbcXPySdrwTF48K8jdyFvk/RBdr5bQ679DumENFWu3SAnB775RguTdu3kQXS59Cw58/N+xWjy6Proo4+4/fbbef311xkzZgwvvPACp512Gps3bybWqOo5sGDBAi6++GLGjx9PcHAwTz75JKeeeiobNmygQ4cOzXISxzQCAxVDdFZI1MRxx8mVumuXvCwpKQr77N0ro+4s6U0rgPxKyAfJoEbr5alQ1+LjusBUl0qQi3LhowoIr4CoHyEKOB01FkwOg9IIqHofkqrDPZdeKgP80UdkRI+mdcgCggrKeav9tfilWUPt8lTh9VT9L3WDt9/mx3POwc/Pj6SiAirz8+sfmC4vfDFRCaIA05EERxw6PoLA0xaqYqAyArqcDl0Gi3S8PxPe/osSTCOroGy+SJXJ63nnHVtB8fnn8kqUlIgQGA9MYaHO0alpExhoiYiZYIKDNemEhPiKmY0dqzixMz/CGdYwKyZQldHGjfquyZOt+FVdiI9XGMfj0Xf+7W+KQ0+dqv87iVJsbOM9GIMHi9z4++s7nGTp14i9e2XYg4KkpdOcyaHNjcBAkc2nnxbRGDbMd+GTkqL3ly71va8bNlgyUpeH91jE3p9VGZP8hX2vzThVxnQ488AbpebkqP/Ozz9bIcSQEF8N9hYAB9CbZsyYMYwaNYpXXnkFAI/HQ6dOnbjlllu4u6Hyu2pUVVXRqlUrXnnlFa5oZGLVL9ab5tcAU/qYnCwjl5lptTyys+XeDQ6WJ6J9G3Xd9JRDVanISlUZeKsfqpHAhdX73QE8DHjA63VR5XHhdYG/nweXPyqlBU4FegMvV3/MBXwEXB3oYu5fgrng+RKuy4MHzag0Ho8gIAQIBu7uAH36KV/jjU3w43ZwB6qUzlVj0nASjNvOg/9+qtVNWNfa1+aFF6x+yH/+o+qRwkJ5F0yX29BQEYgzz7QTtlHjdApQNQfmzdP1j4iAhx+2jfrqwwsvyJNx+eW+nrMWNB+8XpVY5uSoMsjI9x/JmDFDCd5RUQrXlJcr1GY8qqAxZsIwTkJ8LMPrgeQv1TNmX4J9v8OZ6hnTdsKB7zs725IQIz3Qu7e81L17H1HhmKOyN015eTkrVqzgHke9s9vt5pRTTiEhIaGBT1oUFxdTUVFBTAP152VlZZQ5Mu/zf+2rseZEdHTdzd2Ki9U0LzFRD4rpU9Omva+XJScHcrOhJB/6j4CeccpF2bIKIouhBFxlXvzxSmXVgzwRyIHRFViKRGjDUTufG4En+3g5rmcJb98A05+EKeF+jI0KAf9A9U5xB4ArUDkyI99VsiTANw9CwF7rjTAln0bF0rn6GFSh1vY9J8OQG61onUkMdpZF1iW3Xx9iYurXUygqUiVCaGjj9TzA9h+Cavn6RiTAhoXpPpmE1ORkeTOc5MhUfHXrVj9pyspS2OmKK46MxNEjCS6XKn2++04hu6OBjEybJqMYGqpx1batPCF+fvKUjB+vZ93vAFf/RxuqSmHnv1UZU1CtEusOhG6XQ987JC55sNizxyqm9uljSUgL6kWTyMi+ffuoqqoirobAWFxcHJuMbsF+cNdddxEfH88pzoqNGnj88cd58MEHm3JoLTgYbN4Mf/yjVv+RkariMe7cW2+t+zO5uTJmhunGroG05yFtB/k706hMySSypBC/cg8uE8EA7gSuBPojZ8nJfm5GB/lz85NPw/hTOe2CLty48iwuW7yY1dMvITwmRkbWhDQiI3379Nxzj4SeGuONaLMBJgETb4L405t+nZzwemW092esExLk1jd9XBqLqiptn5nZuLbmHo8k/RMTlbszbZrKd8PDJY9vkhcTElSWO2aM9DhqoqxMVTnJyfD++yqf9npVVh0TozL2xiRCHssYOVJkZO1a5d0ciaEar1cGMSFBYZiqKj0rJt/nhhv0vP9qXMJUy7W/Vi3XnqH3AqKg103Q5xbpAB0o9u2Tp9lULQ0erOTUUaPkbW7BfvGLZiQ98cQTfPjhhyxYsIDgBlQC77nnHm6//fb//Z2fn0+nX4vr8JfG/PlKWDNVOw8/3Dg3rVP+GlRl8cY7AKxcACefVMlL3MJk1xw6xO0kbK+8or2BhGDwuKG8QxzBN/8RzrzYJ0P/pblzeamxx9/YnhpFu9XzxeW3f/drRYWSTIcPr32eoInn6afl7n7mmYZXlIaAbN3aNAGjqCi4/nqRg8YQrfnzRRD9/WVw1q6VQTJltQaJifpZ1wTp9UqbIjlZbvvLL9f7BQUK7RmtjV87unYVMcvOVoXRsAPUmDgUyM9Xgu2iRb6J7FFRCiWavL5jWZisJop2Wbn2yiK9F9qpWq792gOTazfYt08VcgkJ8l4+9pg8rC6XVIRb0Gg0iYy0adMGPz8/MkyX1WpkZGTQzqmCWAeeeeYZnnjiCb777jsG76fDZ1BQEEG/5oz9XwoffiiZ9MpKJam99VazxIuPH5TLl8G/pXvpRiq8wTyXdTf3hT2BqwCqAA9uAtweglMy4C/3wrsvwdxvIGbIwZ9TfchYoJ8xI/c/+WzcKEXWuXOtEqsTMTG6ZsXF6rrqrGqpifh4K9W+Y0fTXbWNeQ7S05VwGxqq8EtZmZVEH+K4pqWlVpSsLi/N3LlWrfWGG2xfDGPU2rRpvoZqRzNcLnlHzPU6UsjIjz+qrYFJVvb317GNG6f77Xbrf3PnKvRaX3XNsYKc1bDxadj9kUOufXC1XPuFBybXbrB3r0jI4sX2enfurEXdLyXHf4yhSWQkMDCQESNGMG/ePM4++2xACazz5s3j5ptvrvdzTz31FI8++ihz5sxhpFFrbMHhg9erviBz5mjCGjgQ3njDt+nfgWLrVvyuv57jW6eTlBLA49zDh5UX87sB/0fbZdlQ5aKgNILCKRPpvGM+pBdAeDp8MxTanwY9boVZO+TeHDq0+Vzgmd/rZ9xJ+9/WiKUNH1736tH0wDGKlA2REZdLhmDJEpGc/ZGRNWv0/eecY8lAQ/B4lKRbUaFjyszUPV27Vj+dOQ1btmj7Nm1qh5c2bLAaOBdd5Os5SUvTT2dV0K8dI0bIG3W48iy8XmkOOeXwu3TR/e3eXXkgI0bUDqmlpqpk3ePReDlSiFRzweuF9O9UGZPukPqPO1lJqe0mH5xHKDsbvvxSz7MhIQMGyGPoFABsQZPR5DDN7bffzpVXXsnIkSMZPXo0L7zwAkVFRVx99dUAXHHFFXTo0IHHq/uxPPnkk9x///28//77dO3alfTqksjw8HDCW0qbfnmUl6tSZMkSrXJvu01lns0xqVZWqrFTRgaR8RFk3fg8P70+AZLhx7ATOC/qc1zZXqL8ionZsx0+Xwo/fgKdVkDuF5A2B16bAwlB0G8g9BkLY8ZqZXewbmXjGYmd2PB2FRUiGGBlzuvC0KEiI2vWqKFbQ8dmyEhiorQf6kNlpfJL9u6VnkhDHVoNvv1WRik42DZ6XLdO1RIxMb5lmSZE4yz1BtsI0etVFY6RjTcwnpEWMmLRpYtaO/zSq+CcHK3GExLk3Zgwwcq9d+6sPCHTlbkudOyoirGvv5aqb8+eDfcmOlrgqYDdH4uE5KzWey43dL5AnpCY4c3zPWVluv5ebwsJaWY0mYxceOGF7N27l/vvv5/09HSGDh3KN99887+k1t27d+N2xLhfe+01ysvLOb+GRsIDDzzA3/72t4M7+hY0DQUF8NJLkhf391dMszklrv391Rn5+efhjTc4qVs3ku5W+oVf8mWQ9DmuUhfuCtQ35fHH1f3Y7ZaAWeKzsOFVKC6DJStg3RpY9z3MHwUdOomUHH980yfPwiQoSlJn3P3li2zYYHvwNKTt0q+fvDZZWapeaUiLwYREdu1SaKe+BNB580REIiNtiXFDyM+3PWIuvNB6UgyZGjLElyQZMlIzRBMQoFwCt1tdiGsSK+MZaX8QCX7HGlyuX46IlJfDqlUiIJs2WQHAgADfHCSXq2EiYjB9ukh0aqpCtaYz7NGIikLY/g/Y9Jy6nYPk2nv8Vjkh4Q08w41BRoY8imaebN9eCtC9eyt3qAXNhgNKYL355pvrDcssWLDA5+8kZ/fNFhw+pKfDyy8r4SooSMmR+8ndaRQ8HiVnmlDFlCkypNWE1M+vWqS17CR4D1yFXigOgsAgPdSGuIZ3gxEvwSPj4e+PwJbNUFYJ6zbC5k3QtQvs2iZvRVPJSOYC/Ww9CgL2441bXt19d8SIhr0dgYHyMKxZI+PfEBmJjtYklpamnI26+oTk5ysGDboujTF0kZFSb1yxQkQNdD9M8qozRJObq+93uWqHlVq1Ukfm0tLaCbZeb4tnZH/Yu1f3+FBV1Tz1lK8mSK9eCsMMH35ghMjfXw0sH3/c5rwcbeHzkgxVxWx9Vd3MAYLaQh8j19764Pafnq5Qtknc7tPHJv+eeurB7bsFdeJXoO/bAr76SvLgrVsrV+Dmm5tnlVtaqi7Dy5fLw2GMX13VH0ExcGJ32LcDxp8Kj/+7tofA7YZzLoHpv4Fvv4bXHoaNa6GkXKGIsiRIioLgOyCyl3IlXC4Z4l696icPJkSzv3yRigoZcmjc5Dx0qCUj+6syufJKVTTUp0fy+ee6nl27SqW1sejXz9fTkZUlQpKT45v3ERkpr1VKii3nzMiQvDvIkNZlTIuLFT5yuWxuQgssXn9dXovrr/ftNHygyMpSKe7kyZYYDh0qJeCx1SHL5tB+6dxZC4fZs1XC3bt38+SMHWrkb5YHdee7EmEEiOglfZBuVxxcZ2wQYZ89W3Oa8UA1x6KtBftFCxk51vHaa/DKK3qwpkyBu+9unhhxZqa6xm7bJkPVGAGoyWdC5xegZ1tfIrJ+vTwD48fr74AAmHomTJ4CPyyA1x+DdcvguCLY9gZs+z8InwKzqqB1F+VutG6tiXrsWF9XtdcLGdXJq/vLF9m9W+XNMTGNc8EOGqQOx40Rvmoo5LN7t84B9p9/AiIR/v4655qIiFBGf0yMwk3mOrvdim2b+PbatdITmTJFarL1fWdYGLz4ojwrR6KexuGGIXPLlx84GSkrk3crIUEhARDxM8mlp50m3ZjmLsWdOlVkOj1dZN9ZeXWkYe8ih1x7NUloPUZJqR3OOnC5doPcXOVrrVhhScjQoVpktMhK/CJoISPHKjweiRx9+aX+Hj1aGiLNIVi1YQP87nc25PPgg41LtoybCJtfsGGToiJpWSxeLKPYtq3vaj4gAE6ZDCdO1CTRtVRNrFJnwXtfwUagbRuIGQDe3lIsnTVL+zj1VK1oipIUS3YHqDFeQ+jRQ7ohmZmNm/gjIuA3v9n/dvvDV19pAhw92lfQrS5UVUmALD1d5bfODrsgt32rVvKMpKYqQbEm0tO1D69XK+79navL1bjKnl8jRo5UA7R162xn5cbA65XYYEKCPCtGcdqEBJzP6aEigf7+WlC4XEdmPpDXAykzRUL2/mzf73CGklLbHtd8BC0oSNVuXq9I4LRpLSTkF0YLGTkWUV6usMmaNfr7/PNFGJqjZ8q338q7UlysOPnLLzc+3hx7AuCCbZvh0b9CVaC6WFZUyDX9xhvwl7/UNnwBATZ00W4iZKyCV8+E/GQo2ge5P0DhKugwCgK6KIfFrCozvpckfetR4N8ItcmQENtzprmxcqVkuUeN8g3FXHWVVsInnrj/fcyZo0TY0NDaeSoZGbo/ZoI2ZCQtTcmxgwbJHf/qqwoJ9erVPGTq14yOHZVLkJkpQtLYZyEjQ4neBrGx1rPXQKuMZseRmAdUVQo7/wObnlFYBiTX3vUydc+N6t/w5xuD5GTlg5x9tp6XkBAtjGJjfx2NAY9AtJCRYw35+SrrTEqSS/63v20+gzNvnkqBq6oUc/7HP5r24Aa2gqjB8Lc14Hkbrv+jSMPSpTKYiYkKK/3pTw2vBlsPgsfeg4//Dcu/g5TdkJsP++ZBuxDoewIMrdbzyFgAW4H5Xij5XBN+jXYGQNPUUZ3welXhsHq1vEMNeZ5SUxWSCgz0JSPBwQ2X/BokJ9t+NRdfrBwUJ1atUumSOReTeLphg97PytLPjAwRvhtu2H9J99tvi9xOnw4tXbZrw/Sq+fprhWrqIiMlJfpffr5W3CDy2a+f8j+ao3S9OZCUJAN9/vmH51jKc2Dr67D5JSit7oodEAW9fge9/wChzUCczDO0apX+7t3beheHN1P5bwsOCC1k5FhCcrJKd7OzlYx2443N2xdhwgTlPkRGyotxIDox7SZBzzWQWCzDPGWKKgWysjRBxMZK/+DKK+ufEP39pYUxfrzc3F/MgGVzYfc2yCqBiDkwbwD0uA4y5kES4ImRwfj6a03848bJcBjy8Pbbqoo4//ymqaS6XFJrTUtTiGX06Pq37d9fpbibNimMlp4u93hjJv7KSiXsVlUplm0aBTphPGEjRuh3U5K7caN+5uaKoAQEaGzsL3fI61VuSXGxNaItqA1DRtavl8cpOFj3d9MmK4xXUaFxe9JJdsz98Y+Hn4AYFBQoRFlRoYWG6XT9S6BoN2x6Aba/CZWFei+0I/S5DXpeCwHNkFi7Z49IiCl7NySyrryrFhwWtJCRYwXr16vrblmZVv5//KMtRTsYFBdrJe/vr0n2vfdEQg405BN3Eox4HtYVyWDef78M3qxZWqUvX67v69wZJk1qeF/+/qr/HzdOeSdffgGr58MJ+VC5DTY/B1lAIEo0zfSTYd6xQ6+PPpJn5tJLdQzl5Y2P+TsxdKgM/5o1DZORrl11DYuridibb8qzdPPN+29Y9vXXmlDDwnS8NY1YXp6SEEHCZUZHorJSYauiIiVHhofLHd2YUFReno7V5arbm9QCwRmq+eEHXeslS0T+DNq31zh13rcjhYiAiOnUqVJn/fBD5a3U1ZepOZGzRvkguz60cu1RA5WU2vlC8GuG1gNFRepAbYi6kfKfOvXIDFH9itFCRo4FvPKKvAr+/ppEfve75klUTU6WIFK/fvDcc3rvYMv/Yo+HvkBwBZQVyy186qkynCtWyADu3q28CK+3cRO2v78M8Lhxqu7p3RvSvoGVt8E/N8M+YNttMLAvnPNH8HYTeUlN1WS1caOISJs2B9bFdOhQuzJuKNzjduv+rFljwx8u1/7vVXKy1SC55JK674HRFunaVd8RF6fJdssWfU+7dvL6pKc3ftVrPCuxsS2VNA3B5VKIzu3WNZszR++Hhoqcjhvn0wjyiMXpp8tzsGuXFh033dT8x+z1QsZ82PgUpM+178dNUlJq+9Oa9ztDQ21C+siR8vAdicm6LWghI0c1Kivh9tuVtBgdrRyAyy47sNyHmli5Uiv2nBzlGOza1TyJnYHR0HoE9FoBW4plxF97TSvJ3bvl5h41SkmdTZ2U/PysoFf8FFj1DyjZDJWhsL0YcjbBuhuhazycexNc/ifwC1A1BEDfvvDXv8orM26cDEljyEmXLrYr6ubNtStcnOjfX3kba9eqlPLCC/d/nnFx0p3Iyqq/fNS4n4cOlXfnoYf09+ef62e/fk3TL4EWsbOG4PEoF2fRIuUamLBZXp6elbFjVc3VHM/iLwW3W8/do49qfC5ebMX0DhaeStg9AxKfgpzqfA2XGzr9Bvr/CWKaQaMFdO3nz9c8GBCgZ+vyy/Uct+jkHNE4ip6UFvggN1dei/Xr9ff06epR0RwVM19+qfBJWZliqq+/3rwVJrETYeQK5Y2sWaPV0plnyuiNGlUt2VoNr1d5Ek2d1L1eKE2AU4HccyGjCLYuhaRUyE2FpL9Cl2fhzvtgzSZ9JiZGk9euXXp9/LEMyrhxUk2tL9nT5RKx+PFHkYKGyEjfvpLCLyrSuTbmugYESJW1Pk9RaanyE8BX88TjgRkz9Pm6uvTuD4aMtKwkLVJSRECWLlVCKiiUZchIVJQ8Ckcr4uP1LH76qcKYffseXFl3ZVG1XPvzKrMH8AtxyLU3U1+XpCTlY5n5sHNnOPlk/b6/cvkWHBFoISNHI7Kz4emn5YIPCJCy5qWXNs++X35Z5MPj0UP81lvNv6KImwi9n4WgEn3P0qVK7DuphkJqaanCGQEBVg+hsSjcDmWp0CcQzn0dVq6TsuLu7bB9KexOgl458MXtsC0IuoyEUXcpMXbZMhmcPXsU/lq1SjH1m26qvynW0KEiI2vXKpRS37Hu3CmPVkyMnSzrQ26uQjKGYNa3z6wsWw7qvFcff6zVu9sto9JUtHhGBK8XFixQWbZTlj0iwoZhQPfrp59UPXM0l0xPnizPaFKSvHhnntn0fZRmwuaXYevfHXLtbaD3LdDrJghuBhVZUO7XrFka56CxPmaMythbcFShhYwcbdi1Szki+fmaCK+8UvkSzYF77rFu/XHjpEdxKJqBtT0e/NxwURn89n3oVMfEMW8ePPmkyklNQmtTekIY1dU2YyEwTG7z0aNFNGbPhux9cFU3+MdTULUPin+Gy3vDcRPh0kdh0l+Vq5GQILJUUuLrIdizR6ExU5HSp4+ulZ+fjFJdq8myMl3fkSPl6WhI5bWyUsqngYHygDUkAd6hg8IyJtkUlIT46KNKWH388QPTrvDzk0fq10hGnF4ol0vGec8eXZP6vGXFxVqd+/vDGWf88h19mwsmXLN1a9MbaeZvlTDhjnesXHt4D+h3J3S78uDl2g0qKzU/OUnI2LGqzmuOxP0W/OJoISNHE1aulKeiqkoG6Oabm1cgafBgZdNfeCHcd1/zhHzqQmAUtBoOvZdD5RrAQUYKChRaePRReURCQrTa//RTnXNDIRAnTD8apwS8WTWNGqVEzvh48DsZvnkdZs2AwhyRoAXzYNhwuPg+rXDPO0/u+RDHRPruuyIrAwfKMA0eDA88IBJSnwcjL0/kxd9//16RWbPkmYiIaJxRc7lsfsuePUp4raxUvokz7NUU3HmnPFdHeuJlc8Hr1bVLSFBV13332WTh006zuSH1lbS3b6+xmp6u8OMvWR7b3GjfvmnhuX2LVRmz5zOsXPto6Pdn6Hj2wcu114S/v+YHt1vPn1FwbsFRixYycjTA64W5c2WQKytlkG+6qXlWXh6PJR0XXyz3Zl1dZZsbcSdB9nJ5MLpdZvUZiovliejTRyJoW7ZI26SkRETsnnv2v/LxeiHze/s9NeF229X+sOEQcjvsBDK3QdIa8GbD8pWw6hzo2Q3Ovx1OvtF+vrRUK2LTIXftWhGBUaMarpyIjYV771VScECAiFdgYO1y4qQkm1R76aUN67kUFenzJqemoEArxsBAEaPYWL13oP2IDhUhPZKQn68E6kWLbGgKVN1lQoeNeSZMxcasWSIzRzMZcaK0VCGqSZN8x7XXAymzlZS69yf7fvw0lee2Pb75iOzWrUp2v+wyuwA7/3wtFpqjcWALDjt+BTPNUY7ycokRffqp/p48GW69tXmIyJIlKucz+hTwyxARsB6Lb2Yr/PLb3+rvuDhNeh072pVOQoJWnMXFqrwpLW143wVboSQN3EEK0+wPffqo6+qwE2HM+dBnOhS3hywXbN4Jb90CXw2C7W9DVZmu/d13S2L/9NMVrikqUl7B44/DBx/ovtUFt1tJwW+9Jc+D6RJsUFGhPBnTq8bI2teH2bPhjjuUr1JVJa2Z7GwlUpaVidA5DWwLLPbuVcjzrrvkjUtNFakbOVLdqBsjz18Tptpp40aN16MdHo/G9H//q3wY0DOw/Z8wewD8eKaIiDsAul8NU9fDxFlq/dAcRGTLFskKPPOMQjJff23/17ZtCxE5htDiGTmSsW8fXHutVgWDBql0t2aS54Hiv/+FRx6R8XvgAYUdfknEHgcuP/BmwK6dcm3n58stPm2aygr797cy2rt2afJJTYX//EfXpT78L19kHPjVQ9pKSxWSGTlSBGjkSBmSlSu1sm0VD0U5sGs59E6H/ERYcg0suxcKpsEFj4ggnXOONCY2b9bK+osvFCJp29aW4/7wg0jI1KnyWIDNKdm40VdN9csvdS0iI+Giixq+hl6vqndKS0U+CgoUCgoKUqx/yRKRorQ0W/LcWHz4oTRbpk49dmSyvV4RBBPOCg0VWfN46lblPRDExyu8kZYmotnUcuojDW63xtLHH8OH/wH3XMj8h8g+SB215++gzx8gtBnbBWzZovwb08XYz08K0Kef3nzf0YIjCi1k5EhFYqLIx969MmAXXNA8RMTj0SrjnXc0OfftawXNfkkEREpboNdSCAeKK5TcecUVMgZnnSXhpd69tSJasgT+8AfF9PeXb2G6AsdNrH+btWtl+JcskYfD5bIS0cOHq4Jm9mzoNQDu/qOkqje/AItTYfk/4LN3YdIUuPhR6DBQpbP9+smjM2OGSMLkyapGePxxEYbvv9c5dO+ubefO1X02yZI7dkgzBuSO3p/GSUqKyI4p3Q0MVBgrNVVEKzTUCnE1Fbt26Vp7PE3/7JGG3FyR24QEXZO77tL7YWFKAO/SpXkVZkeOlCFdvvzoJyMAY3rBrERYnwCvV8LpiHj0vRV6Xt88cu0GXq96a61bp78NCZky5ZdtINiCXxwtZORIxPbtmjD37tWK9+WX6+5F0lRUVkomfv58/T1xoq3YOByInQhZS6F/CCyvkHLlFVfof8cdJ48CyHjv3CmC8NprDTd383pt8mpd+SIGy5fr54gRtd3JLpcIybBh1Z6GaAkzdbsRPpwK5WugMh++/hLmzILRY+HSh6D/yTJEn36qe1hQIINeWan9FhTAU08pj2PUKL1vROXatZOh7NJFvw8Zsv/rZ4TO+vSx9zAkRDk2mzZpfyEhTQ/TeL1Hf1lvebmuT0KCJXwg4mY8cNCwfP+BYsQI+O47PbuNVRE+EpGzFhKfgV0fQJ9K2AjsawXuG+DMB5tHrh1qVy7Fx+ueHXecPCEHo3PSgqMGLWTkSMPSpeql0K6dVm5PPqmy1oNFbi5cc40ecpdLpXt33nl4ExTjTlLy26C9sDxaqyFjKNxuVfU8+yz07ClPyXXX+R7vnj0yws5Vbf5mdfz0C1Y2f10oLbUlgQ21fHe5fPtzrF4H0f0gqi/s3QJFm6AsAxYvgsWnwKD+cPcr8o4kJ4vw7Nol4jF+vPaxcqXkqWfPttL1iYm63+3aiYRWVDTu+q1eLaO7bJk8ISbBcM8e5bC0aaPwXlObJebm6hq53UdnmeSCBfDZZ765Rb16KQwzYsShL7lt317ex6NJfdXA61WYM/FptVQw6DURrj0VvtsJCUUwOf/g8zVMx+uZM9W12jSoPO00eYFbSMivCkfh03KMwutVHsd338kIDB8OV199YI3b6oLbLUMfEAB/+YsM/eFG2wnKG4lPh1YdIadQRuTKK/X/3r3lKRk2rHYcPzFR7tyYGIUmTNmtCdE0lC+yZo28Eu3aNW3lP3asjmPmzOqVXB/IS4biRMjfCcUbYf4k8PSEwq7KbfH31/cYmf6LL5aHZ9EiKyG/fr28VJ99pgTixpCH7GwRncREhWh+/FGx/cBA26V3+PADUwM1XpG4uKPDoGZl6TkxVUcRESIirVuLgIwd+8uXfR4N180JTyXs+UQkJHuF3nO5odN56hnTepTmqN3PKodtxgz1wDoQeL0atzNnKjQJqh4zZCQs7MB6RLXgqMZR9sQco6iokDdk6VIZudNOU2Jkc7p3IyPVJTYtza7SDzcCIiBmFGQthsGx8EOhQjWGjIDixU7s2ycNkltukfHJyIB//tM29TLJq7GNCNGMHNm0a2xk3wcPlhdn1izYBUR1hJhcmBYIpTMgZpu8HpvcMKwv/Pb/rHEKCpJxHDtWoadHHxVpcbvl6Zgzp3FGdM0ahYJA9/amm2yoxkjDH4gEPBwdMvBlZfIyJSQoefiss5RsC7o/d9whUnc4QyRGt6RtW1+NmiMJlUWqEtv0HBRVV9X5hUD3ayTXHuGQUjce1S+/VFltU+H1iijPmmVJSECAVI+bImjYgmMSLWTkcCM1Vcmku3YpF+KSS5quelgf3n1X+7/7bv3drZteRxLiJoqMjAIKR9QvPe31igDcd58y7HNz4W9/kyy+SUY988z9J6+WlFjPQX1N5/YHl0sGb9AgeTVmzZJL+azfQelzsPkVeOYRqPTAzo3w0Clw6tlwyWPQxnH9u3aVkWrfXmGjMWN0jllZ2uesWfWHFwoKRGyio1VZ5AxVDRyo69W/v922qqrxLeGP1HwRr1f3PiFBRKSsWuHT5RJJNQgIsKvsw4nXXhNpvPLKI2cBYFCaCVtegS1/h/JsvRfUulqu/ff1y7W3aaNw74HgH/9QSBF0j048USQkKurA9teCYwotZORwYvVq+P3vbVjmxhsPrIdITXg88PDDKs8EGbLJkw9+v4cCsRNh4xPQej38O6n+lew//ynP0QknyE28eLFel10mXY6vvoLoSk2yfiH154ukpMhL0bbtwRtbl8uKxBnDGNwWOv4B+iVAyiZokwUlxfDFhzD7Yzh+Elz6CHQbrfMoLxeR+P3vJWZXM/Fy61a9YmKsp2P7drm1O3dWrL1mH47Jk+39njVL7vATTmh8/6KoKB1Tx44Hd32aE16vJO+dybixsSJqY8bIm3SkoWtXkZHly48cMlKwDRKfhZ3vQFV1Tk14d+h7B3S/CvybWNacmKg5q67n1uvVy+R59e+vsX3iifL+miTiFrSAFjJy+PDVV8rdKC2Vofn975tnNVdaKpn4n3/W31OmNJ82yaFA2wng8ofi3erqGV6P56Z/f5GR3bu1mpozR16RWbPglFOUa/OPl2EM0Hc8+NWTa9Ozp5ILs7Ob7xxcLl+vxbJl0KWbXn5uCM+F5B8gIw2+/xYWfwu3ngNfRQGBqhowMveBgarwGD1alTZLlmjCNzohRUVKci0o0HnvT3fBhHmaUt579tl6HU6UlMhbZKqdXC6Rr+xsq3TbvfuRXakyYoR0ZxITdd8OZx7EviXVcu2f8j+59phRqhLreO6BybX/+98SQrvgAt9ye69X3srZszW2TzhB748dK+LeQkJaUAdayMjhwLx5Cp1UVChs8tZbzeMSz8yUC3X7dq1Grr9epbxHMgLClRy3L0EluTuqe9PcfrtvWGHsWFVJJCXJGK1ZI3Gwu+6SZyQ5GRZ8p/LDEyfu5zsDmldXwoniYq36unSRR2L7dsiLhOizoQ+QMg+itsDnn0Ei0KYjuDrI0zFxoi+padVKZMNJOIKCFJLIzFS46amnfMW61q/Xdxv5dzOuUlOP/DJTj0f5LgkJSvKtqNB96tRJ/z/vPHnCAgIO73E2Fsa7lJwsj0DN/KdDDa8HUr8SCcn80b4fP1VJqbEnHtx46NJFZMQkXsfGioTMnGm7G5eXK+zscmlOaiEiLagHLWTkl4TXqwd3zhytdMPDVRFyMIqPBuvXK8yzb58M1oMPKqnvaEDcSdVk5Hu45x0Z2i5drEQ8aDK74AIZ3+XLlcB6333ylnzwgfImsh6EvtSvL1JaqmtzqAxyURHcf78m5osuksDZ7NnSSykrg1QgYjqcPR6evgfYBh2S4b4HwD8YbrgcbnkBghoYDx6PqnMqKvTasUOvjz7SmPr5Z5GYZ5/VSrxdO51vUZG8KfszBpWVyl36JUlLeroIyOLFygUyaN9ex21wNBqykSNFRlas+OXISFUZJL0Pm56BvOr8KHcAdLlE3XOjm6nlw/HHK3dn40Z47DHlkyQn639BQSLXkycf2QS4BUcMWnrT/FIoK5N42Zw5+vvKK5UH0RxEBKT0uW+fDNE//3n0EBGwfWoyF9jkXaNE6kSPHvKKeL0ywCbZ9a23oCIJ+udBQKjcz3XhzTclfb95czOfQDVmzYLCQoWSgoI0Sc+dKy/FrbcqGfW44yCwM3Q+HS55HrqfC5F+UFwK77wJF8XBW9dBQabvvtetE5naulU5HRMmiMief768H5WVUnjNylJ347AwXaeAABuqaYz42fz5OtYvvmjuq1M3tm7VPfnmGxGR0FAZsXvu0fvNkUN1OGGSpE2o5lCiPA82PgVfdlPrgryN4B8hAnLmDhj3TvMRERDJuOIKjfe5c0Umg4IUGn7sMTj33ANv0NiCXx1aPCO/BHJz1Ul1xw6tOq+5pvk7et54owjP+ecfWYmHjUHb8Vq5Fe+B00bBJ58oXyA7u7YE9HnnyeW9dasmwqoqhXT2zqje1wTwuhXP7tvXKtcWF8sgVFUdmhV2WprCSCAPjtutPBd/f5HEqCiJzFVVaQx06yZy8PpmOOMOmPcp5OyC/EL44C34tFpu/vqXIL1U46dtWyVFgkqMo6K08jzlFLnFn3hCxtxU0WzeLDXYggJ5UVJT92/cU1NtV+LmhscjglZSYu9Ljx4i0J06Kdw0ePDRp9HREGJjdW579hy6UE1xMmx+Eba+AZUFei8kHvrcKrn2wGauVvF6NZ4CA/V8XnONEua9XhHZ7t2b9/ta8KvAMfTUH6HYuRPeeEPJiFFRCj0YY3Ew8HgUsrjmGquSeeutB7/fwwH/MFW/7P0Z4vcp1p6RIUNasyGeyaNYvlzG+amn9P7WBfoZN1Fx7J9+UvJnu3YyBqtXiwh06HBo9DM+/lj3ZMgQW/USHCzjv369clzi462Rb9NG4ZuqKkjbB/mB0G4cnNUPFn8CGftgyRcQNQu+7wuB/aHLSBEqgKFD7Xe7XDrHyEjtz3z/4sUqGU9Kkvvc61XVycCB9ZONQ1HWm5KiMMySJRLei46Wx8Dt1uvhh4+ePJADwdln63o3tVnh/pC7XnLtSe+Bt7rlQFR/5YN0uaT55NoNvF7bSLJfP5FugN/8RmRryxYJN951V0topgVNRgsZOZT45BOJWvXrpyqOm29uHiXI4mKpHy5bJqP7+edH/2oydqLISMYChWpmzJDrt67uvKefLlewMaheD6R/Dz+iqpQTTlAi3YYN0nq4917F7KFh+fcDxfr1+i4/v9piUEOH6v/Ll2ub6dOtd+K88+QJmDVL22RkwvcxcPYzEJYKWTNg7krI3gDRG2DRGsjqAJ0H1jZsGRkivP7+Gmtm/507K+RSVSUPyauvynU+erSE9ZwkwOu1VTcHS0YKC5XPk5AgN75BRISISHm5TdY9lokIiPw1F7xehTM3Pg1pX9v3Y08UCYmfIuXU5oTHIxIye7Ylq4WFCsP4+4t4XHMNvPQSnHFGCxFpwQHhKLdgRzCefVYiP16vDMFddzVPfkhysgy0EUk744yjn4iAkk43PKok1rO/EBnZuFEhjpo9MGqeb94G+Hc2rHBB3gfw3hm6Ro8/rmTYl1/W9YIDFzqrD5WVWg2Cyhtr9nIZPFg/v/9exCAnR3oZhkj16gW33Sbxs3ffVWhq0aJqj86NEDob/DZA+60wbwtkbYHMVTCnI5x2G/hXG3LjMenZ0yqxRkSoX82kSRo3CQkiCPn5ykH5zW/scVZUSJq+vFzX92B70sycacNWfn66DuPGNeyVaUH98FSqLDfxaciuVhB2uVWW2+9P0OYQNPzzeETiZ8+2JDUkROP85JN9n8NWrZS83UJEWnCAOAas2BEGjwceeUQVHqBV/iuvNE9n3JUr5V3JydGk8PjjKiM9FtBmnPJGSlKgd5SMcU6OSjzrE2yrrFSZ9PoPYCSwNhRWr1G+yJVXKo/miScUrigqkthSc5f0ZmbKUxURYeXInYiKEglNS1P11L331m2MJ03Subrd0ptxu+X5Cm0Hdz0Khbtgx+2QsxkqcuG5u+Bfj8NZV8G5D1oyUp8EfMeOIh/nnScPTWWlNRwVFSo1N2XDAwc2voGikTxPSJC3xSj8jhunEOW4ccoPMX1jfq3IyZEWTmGhek41FpXFsKNarr2wWkLdLxi6Xw19b4eInofmeEFJxSaROTRUBGTSpPoXVU4ikptrG162oAWNQAsZaU6UlqpiY88eGaEzz9Qk3xwP5BdfqLqgrEyegtdea1737+GGfyi0Hgt7F8o78sorSm5sqMNqaqryStJ+gEnA1LHwfQq8+KKE3jp31sR/883yOBwK0an4eJHPtLS6+4+UlChnAlSuXJ+wXffuyvnp2VMG/oEH9P4FF4ggfPAlnHMX3N0REl6H+bMgKxf++QL89w247Wbofzb0H173/ktLdb1ataqt2Lpli4xkYqIIRH6+yPS4cTrmula7+fnKAVm0yLruy8stGenaVcSrBUJVlciIy6VQ3v6qTEr3Sqp96ytQlqX3glpLqr33zVL6bW54PCLt5tjGj5d368QTRUIa219nyRJ4/30bTm1BCxqBFjLSXEhNFRFJTdUK85VXmi8/obxcYZ+yMhnof/7z6Gztvj/ETawmIwtgwnX7375zZxg3Ft77FywGnr0Ptj6ikMSdd0oOf9gwyaB/8cWhyRcBEab6ev58/LFI0NSpKnesD/7+vl6Ne+6RR2fiRDXS83iqtThcMGYavPwo/PgKzPw3ROdB6tPg9wqEXQNV10P7wb77f+cdeV5qqmWC8mz+9jd9T0WFzmfBAr3at9f169VLx7BqlY5jwwb9bY596NBDd32PBbRpI2K3a5euoVElrYmC7fKC7PinlWsP6yYvSI+rlezd3PB4FL6bPVvzyi236P3oaHlfmxpW83pFfmfOVHiuQ4dmP+QWHHto8aE1B5KS4LnntAKOjIQ//al5J+bAQJGbU05RLsWxSETAV2/EWy1Z7fH4CmHVxEm9wV0G+/xht7+dPNetE2kDhWs+/LB+A3AgSElRGMUcZ11Yv14iZEFBOoageiTq60JkpGTvXS64/HJ1oTUN8BYvhiefh6ph8OI6uOMdaDUcqkpg+d/hiiHw55Gweqbdn6kgqk8Wvn17jds5c+DJJxVaCQjQ9qYU2uVSUva6dbov3buLqDz9NFx33YF3Cf61wMwJJpnaiaxlsPA3MKs3bH1VRCRmBEz4CM7YAn1ubn4iYgjuAw9IxTgzU56xggK7zYHk94wZo6qyqiqR4KqqZjvkFhy7aPGMHCxWrNCDXFGhCf33v28espCfr6RHI142eLASMY9ltBkH7kAoSYWCrZCwUyGQuDiRsLpQshyGAInt4PMvlRx6wQUKM7z6qlzi0dEKTxhkZSmMdqCJv16vFE83b5axrq/T8Lp1+nnyybbCxeOpO2zn9Uq8be9e/f2nP9kqk4ICVSr06WMJw9q1cocXFWncRT4Oo8vhywfBs1zjcsWZ0LsH/OYOaFcdvtmf8JnRR+nfXyGmTZtsno3LpfydvDyFcA6VpP6xiuHDReY2b9bzHREBqV9D4lOQ+YPdrv0U9YyJnXhoEkKrqjR2vvrKjrfwcJHfE09sODTaGLhcIqlbt6qS6ptvYNq0gz/uFhzTaCEjBwqPR6vwefNkaAYN0urwYB9k0Orkuutk6AIC6k6MPBbhHwJtxqqPRuYC6DBe+RLZ2Vq11UXyMhfAQCCvlzwoc+YoV2HzZpUezpunChojFpaYCP/3f1qlNraLbU2sXq39+/s3LGJ10UUq4x04UDkZ774rN/1jj9VecX7zjTwtS5dqVbljhy3fXbfOVrv07KnXrl0qCZ40SUTF41Fo5+Iv4dT18P4DsHQxbNkOj94EUa2hoAsEBtTdo6a8XK71iAj7v5AQhbmcOJKbLh7paNNG43Dndpj9GETOUiUYqFlkVyPXPqjB3Rw0liyBf/1Lv0dEiGBOnNg0z93+EBUFF1+sisJZs7SYMj2GWtCCOtASpjkQlJZK5+M//xFh6NtXHpHmICIJCTJiKSkyBs0lF3+0ILba2GV8LyMeHy9D+8kntbf1erSi9AcurK5QmDdPlSLvvSfyMneufjeorNSK/8cfJaHfVFRUWC/Nqac23Lre5ZIxDwjQfdyxQ4Rp61bf7davV06Ly6Wkv+BgWx0DIj/gK3TWpYvGXEWFrk/btiIyDz4ICUlw8wx4Zw2cOl0EJCcLNq+ETW/D0kehIt/3GDZtktfl2Webfk1a0DiU50GbHZD0Acx6UkTEPwL63lEt1/6vQ0NEKitF5g1Gj9b4Oe886SCddlrzEhGDUaM0/j0ehWsqK5v/O1pwzKCFjDQVRUVi/AsXynhcd53kyJujYua//4UbbpALt107hRomTjz4/R5NiJuonxkLtII3eR7ffVd729y1UJ6jCf3Ei5S5f889lhSa2Hz79lZnZNAgG1b54AN11W0K5s2z8u7ObroGRUUiP4WFvu+73VZzxJALkFjZW2/Zcz37bL2/sbrBWXm5/X3IkNrfZ/7Xt6++0+uVwNpDD8HXi+HyN+CDJLjoKugaDJ5i+OE++KwTvH4hpFaTHhO+cXZKbkHzoDgFVv0ZvugMnrcgsBjaR8OQx+Hs3TD8GQg7BF6DykrNU/ffrxCvM+H4nntEpg8FCTFwueCSS+R96dev4fyqFvzq0RKmaQoyM5VI6vXqIX7gAalYHiw8HnjmGa0evF49uG+9Vbsvy68BbcaCOwhK0yF/s1ZvH36olXvNUE3G9/oZezz4BVhDDsqz2LRJZOOnn1Qp8PHHIgVTpqj8euVKeP11+MtfGmeE8/IUZweFgOqayD/6SG7w9HQlnToxdKgSWlevhgsvVHXUa6/JU9Ojh94zJGb3bhGbbdvk/Wjduu6eQ8aDMmCAVqGnnqpzXblSpGT5cuUqTH8EqkbAwo+hfCck7YE5/4VPZsC4CRA8TvtpThn4XztyN6hzbtJ74KnQex36wQt3QrdLwe8QEYHKSpVcf/21QpygJOTMTC1y4JcTJ4uMlNx/Y8uCW/CrRQsZaSwSE1W6W1SkVegTTzRfR9EvvlASLCgm/9JLx4aq6oHAL1iJrJkLqvNBfqfSwJQUhUduuslum7FAP00VjhPffSeS16+fvA8bN6pH0I03aiK+6ioRhtRUEYI779y/LPnnn4tAdO1ad6PDVatERFwukaia6NdPlVE5OSJDs2YpzBcdrbCfv79+b99e72/ebJNghwypbUBycnQOLpfNL+nYUd61lBSRkhUrRExatYIJx0Pf/tC3D+yYDVsfhx1J8PNC2LkQwlrBhC7gOb1FrOpA4fUq5ynxaUidbd9vezz0/zPET21+uXaDykqR3a+/1tgAefBOO01et8Mlu+8kIh6PrlGLCm8LaqBlxmkMFi+GF15QvL9rV7k4m7O1+VlnqbX8NdfI8/JrJSIGzlAN1B2q8VRp0gdJyTvx6acqN83IUC8Yk6j6xhs2LBMUJGITGqrS7LrCQDUxdqyM/YUX1iYGhYU2N+W002zCrBMBAbZJ4urVIlkBASJIzk7CZpv161U1A3WHaIxXpEuX2rlFHTrA9dfLezd6tI5pyBAlvOKCLlPgzZ3wxMd6vxzIzoE3/wLXdoXE93SNW9A4eKpg9wyYMwbmTawmIi7odC6cmgCTf4QO0y0R8XgkNucsoz1Y7NwpsTHTlPPCC5UTcvLJR0b/n4wMPZezZh3uI2nBEYhfudXbD7xeCffMrl7hDBumVWdzSLtv3arSSCOZ/MYbLatRg7iTYN3frN7Ib34jITNnCW3uGsmiB0RCq6G+n3e7RRyLihS+OPlkJazu3CkPyCefaJu2bWWwly+vX3LeiT594K9/rdvF/cEHMizx8eoXVB+GDBERWbMG7rtPRMtZdgzyoKxYIYIxdarCTb161d5XXp6Ia0NdoOPj1SnaiRkzJFo2ZIjI2t1zIfV62LkcglMhbw+svAy2/g363QFdr4CAX1kidWNRWQI734HEZ6Gwmui6g6xce2Qd9w3kjVu7VsnqB1qhVFEhD1v37vq7Vy8ljfboocXNkUBAnEhJURJ3UpJCll26HO4jasERBJfXe+RnFeXn5xMVFUVeXh6RzhXkQaCoyLbLKCysQym8uBj+8AclEIaEKFnx7LObJ9a6YIGMYs+eqsj5tXtCaqKqDGZES/hp2kaIqkNMK/E5WHUHxE+DiTVWWomJ8jJVVUmO/9xz5WW45BJN4DfdZFUmG4P6tEEMVq60ZPLuuxueZHftssqwkyfXPZ7MI9mYsVZRoVdjq6527lS4MSPDjruYGB1X//5w3UWw6iUo/I+SgyuA2aFw4jlw8WMQ07lx33Oso3SfxMm2vAxl+/ReYAz0NnLt+9EamjdPCes9e6qKqSmoqFBi6pw5yjd6/PFD0+rgUOCtt1TC3r69iH3L3HfYsV9beJBorP1uWYrXhdRUxfx//lmG7bLLlKjaHETkX/+SISwqshoaLfCFXxC0Ga/fTZJqTZj3a4ZoQJ6F116TcZ03T8JOAwdKyRQ0IdYsrwWRjlmzfO9JebkqU776SkagJrxexehBhLUhIlJcrO/2eBQ6qW88uVyNH2umbLix+Ne/JPp2xRXKe3G5lCybmak8lbJAOP0lOGs3jHgRUuIgqxg+fQ8u6QGPnQ5JdSiI/lpQuAOW3azKmHUPiIiEdYURL6kyZvBD+ycioKRiUIJyQwrDTlRUaDzfe68SpXNzde+dZbtHOi6+WN7gtDR5nVvQgmq0kJGaMK3Vk5LkEXnoIXXePVh4PNKAeOIJJZoNGaLchmNV2v1g4ZSGN/jpJ1WoJO+BvSZfZGLdnx8yRN6HykqrC3LHHWpUN3Vq3QJMn3yiCfK11yzxmDtXE2d9miQul0q7p01rWGXS4xERycxUOGd/CXz79uk7d+6s+/8HqtlgZOErKuQ9evBBqxBbWalxDxAQDn3+AH/eDX94GDq0h4pKmDcHrh0Jd4+GtbPr/ZpjDlnL4acLYWYv2Pp3Se+3Gg4TPoQztkKfW5om196qlcIpIM9aQygvV07TvffKm5KfL2/WZZdJobi+vkhHIsLCbA7XnDn1j+8W/OrQQkacSExUqWdpqUop33mnebpOlpbCtdfKPQ8yhv/5j2/SYgt8YTweRm8ErIfiPy9JtCsgCqKH+n4uP1+G3+WSLLzbrRyNTZv0+yefyK1dl0DdpEnyV+7eDf/+tzwkc+bof+edV38MPiRE+SwNuZy/+EJ5GiZh1e2WwF1xcd3bf/utRM2uucbqQzjx6qu6Hlu21P+ddcGU7hpdkbg4S0omTVKnVoPERNidDGf9Fd5JhgfeUiWOF7nab5sOn58AqXOOTQ0Jr1dy7fMmwZxRsPu/EtprfxpMmgenL4cuF4L7AEMNplfN8uUNb1dQoHGbn6956bLLVC57/PFHZ5hj6FB55bxezbF1eRxb8KtDCxkxWLhQJbWVlUpAnDHDilQdLK69VobH7ZaBefbZo3MS+SXRehT4hUDZXsirFvY68UT9/LZa6yP2BHDX8DC8+abyNjZtkhfgxBPlyjb6Hc7rXlmp0tj/fWdrJSi73SrRfewxrUp79ZKkvBP5+dJyaIwRXr5ccu8AV14pr8xzz2kiNqW7NbFjh/YdESFy5ERFhUhISkrTA7w1yYjHowqjiAhVX5jr4/GoOujJJ/VcJCXBCb+Fv2+CF76GMWOhmwuKF8KC0+HroTD/aagobdrxHImoKocd78LXQ2DBVIUEXf7Q9TKYshpO+gbaTTr4sO3w4drH9u22FBdUPr5qlf27dWt53a644ugmIU5ceKEWY4GBtQUCW/CrxK+ejLjw4PfZx+ob4vGIsf/1r1YcqDnwu99pxf3kk3Dzzc2332MZzrwRE6o5/3z93L4bsqitL5KXp1yQvDwb/jrzTLmya3ZR3rBBHqrrrvP1PPTuLY9Kfr68MLm5+ttpeLxelVD+61/1N/AzSE62fUBOPVXVDlC3GqtBbq4ISHS0DJFTGh5EVCoqNJk3VaTMbJ+WpvPYuxeeegr+/GdfYlVWpmvhdutaPfmkytu3b4dBp8NjCfDCTuhzm8ITe9bCY3+GC2PhH7+Dgr1NO64jARX5qor5sjssvhJy14F/uKpiztwB4/8NreoosT5QREfbBorr1umam95Kr7+usWMwfbr6IB0r+hxhYQqb3n137WqyFvwq8asmI4GUcQNv4De/WiBr8mS4+urmWXXs22d/P+44+OEHTSgtaDz+F6qpTlbt0wc6d4KKYlhG7eTV/2/vzOOirPY//pmFmUEEQZFNEQNUDM0FhEQN9WKUS1JuaamVS6Z1S66paEVpKpml95q3TFO7XRXU1J8pkYiSidoCaCqoF1HUFHBD9mWY8/vj68MwyDIzzOIw5/168RIezjDnOfP4PN/zXT7ftDR6oHp7q9VrW7Wq33sglVJFSVYWPWRrExpKXhPGyLCpmyD6+++0cxWLqXttQzBGRm5lJSXT1lbrFfrMnDv3sJta0BYRRNIEyXcBwTjp3l333bmLCz3QystpNy54SNzdNf+Wra16Jz5wIJ1rZiYZLqtXU0lpay8g4HMg4hrg/g5g1wq4XwRsWw+82BH4/AUg94Ju8zMHpTeA9AXAXk8gfR5Q9hegcHsg134N6PuZceTaAarQmzuXvANRUZRHVlxMZeclJcZ5z0cFN7eWY1xxmo31GiMFBZiHVQjCrxDdyif3/NixhqmYWb+edsEpKepj1tbwzhAIyan5P1OsHgCCfAGogAwp4FgnjCb0oqkbUgHIMDh9Wp0D0q0b5UoAFC45d0499vp18kg4OQGdOqkf2AAZJ9u30/cjR9Yv0S4gEpGOSa9eFKqrXR7cqRPtjCsqSGm1NoK3RNCfyM6mcQKCcdK9npLnppBIKE8EoPO6eZO+b8jD4uxMVUgff0zhAbGYQmBlZeoxMifgudVAXC4wYz7Qvi1QXgkc2ANMeRyIDgWuNZEXYQ7uZwAnXwP2dQYyV5JnxMEPCN4IjL4C+C8EZI7Ge//KSvLkff015RSVlJCx+OqrlA8kqOq2dJRKOv/6mmFyrAYLDzzqybVrsFn9BbxwF77IApN70k0hIKB5lrpKRX1O9u6ln+PiGm8xz2mctv0ASSsqn7x/jjqahtgBmwDcVgA3bqqNgYIC8nIA9RsjOTmU9CkWk3Hg5kYl1keOkDEwfz5V0ojFZCgsWULHO3dWV94wRonHpaU0pr5GeXVxdtaUsBcQicg7kpxMxkePHnS8vJwe9gB5aP78kxJps7JIwK2kRJ1Doo8xAtBuXCIhD9LJk3SsqXCPkDj57LNk9HXtqv5dSgrt5Lt2BV78BBi/HDi0Fti5BsjOAX49CjzWD3jsOaD7u0D7AabrjVIXxoBbx4CMlcCNWvo07QfS3GqrpBobkQg4fJg+U1dXChsGBVmf+GFWFoVERSL6vymErjhWhZVd9aCb+6efQlRQgJtwx2rMJenko0dJir32jk8XSktpBykYIs8//7D7n6MbEhk9uAC1NLziHNAOgL2TZi6FEKLx8ak/Bt25M+VpqFTUMA+gm/6nn1IoJDubEosFXFzIE1C7BDglha4fiYR2rw0Zrn/8QSJrTSFIvJ8+rc7XuHKF5ujiQqETweAQvCEXLtBYd3f9O+z26kXGT6tWas+IUPLbFO3akddPoLiYjO7PPqNmj+fP08P86XeADVeAFXHA6KcAmQj4ax+QOAiY3wX48TNAacIqClU1cPV74GB/4NBTDwwREdDxeWDYcWDYL0DH54xriJSVkfErfNY2NuSNHTOGrtvff7c+QwSg1hohIbQu336r6QXkWA3Wd+Xn5wMVFVB188MnWIg9GAPljDfUsflPPtHM99CG69fJ+EhLowfUP/5BlRjWeGMxNDWhmmRApQRu/QJMA3B4j6aEu1AeWZ9XRGDcOPp8zp5VGwtdulASK0DNCoUwTl0uXKDY/t27VG3VkCchJ4fCPl980XTZbdeuVGJcVKQOBfn50UN9+nTaKQYF0Y5ZSHx1cqIeOUFBjf9tbVCp1NVE+nbrZYzyZqRS8i6uXq02ShgDgsYDb/wMjMwEfGYAuTZA2iVg1TzgJTdg2zygrLD559IQyjLgf18B+/2AY2OBO7+SXLvvTGDkeeCp3UD7RvJ+DEFpKYnpLVpE5f21dUWCg+nzPHGCrsk7d4w7l0eVcePo2s7PV2/oOFaF9cnBMwb8/jtK/ALQug3tbIuLAbs7V4F168jdb29PrnWh50NjXL5MMuOCGmJMjHZ9TjjacesEkBhCUtuh+x987wSMua25i83OpvDBsGGNewx27SIND1dXaiInkdBDecwYMjh69KA8j7Awzddt3w7s20fVJ//9b/3VVkVF1Jjs3j3ywsye3XQ44vx5MgRMqTmjVJI35vRpKmGWyah8tzmhk3v3qHz52DG1IJuPDwlcdeigHpefBWyLAhJ/AMof7IBb2wLhY4EXlwFtDZQoWnEHuCjItT+o7JE5AV0eyLXbuhrmfRqjtJQUU5OS1B5Xd3d68Pr7a4797DMyXseOtd77x7lzdB0CaoFCjtHhcvCmorycdiPCzUDYbdZ1sXfqRGVmnp70UImN1U5DwtOT8hbat6fKCWu9kRiLdoFUOlp5F7j4BR1zCSVDRKlUlz96e9NNvqnQxYgRZGzm5VG+BkAerPnzKb+nbdv6czHGjSNFVx8ftTBebaqrKXH53j21kJg2D3c/P7UhYqp9gUgEfPMNGSLDhpHnpbk5HE5OJPW9bBkl3kqlahXj2rj4Au/sBOKuAy+/ATg6AMVlwPffAS95Az9OA4qv6D+P4svAH38H9nYCznxAhoidF0nbj74K9FpqfENEqSTDNSqKPCJlZWRwzpgBfPDBw4YIoL0AWkvG31+tds3DNVaHXsbIunXr0LlzZygUCgQHB+O3335rdPzOnTvh5+cHhUKBnj17Ij4+Xq/J6sydOxR2OXJErfXQGE5O1LQqJISqaxq7QQvaFFIpCW3t2lX/TYbTPMQ2lFwIADkPqlhch1A/mP79ScNFF2xtgdGj6fsffqDdq0pFu1exmLroduhAlQ4AebyEpnKzZpGxc/MmsGmTpvGwYweFKRQK8ojUfQhrw86dlMNSt5S3ooK8GN9/T8mrzTVaalfUdOtmGJVhAUdH6kS7bBkZZEKJNaBWoWUMaO0MvPpvIDYPeGsJ4OEG2CqBu5uAH3yBlEnAtePav+/dVODYi/Tai2uB6lLAqQ8Qsg0YlUXS9jatDXeejSGR0HmWl5MRMnMmGSGBgQ2Hbvv0ofvNlSvWG6oByDPUti3p/OTkmHs2HBOiszESFxeHyMhIREdHIy0tDb169UJ4eDjyG2jWdPz4cUycOBHTpk1Deno6IiIiEBERgbPaJPg1h8uXSfb7xg1KUNX2hiuXk0pmu3bqY+fOqV3PSiXlDsyapTZIHB15jxljUiNuxtQ/+/mRTzE7m7QvhAoUbRgwgB4M06dTaC0lhXQzWrWi8Mz8+VRxolSSt2vpUtqxOjiQlLtUSsbBgQe9WVJSyMsiEgHTpukumHf6NLnpk5KosqBu35nsbKoEOniQHvIN5bXoQl0lVkPj6KgpNHf9OlVM/OtftEE4e5aMEhsFEPE+8O1fQMwewD0MYNXApe3ArAHAnG7Azxvql8RnjKTok/4GJAQCV+OoBNztaWBoIvBMKtB5ov5y7dpSUkKGbW3v69ixtKH54APKY2rK8+TgoC7lFUrUrRGFgoy36GgeprEydM4ZCQ4ORr9+/fDFF+QyV6lU8PT0xFtvvYWFCxc+NH7ChAkoKSnB/v3qMronn3wSvXv3xldffaXVe+qcM5KaSsmIVVUUQnnzzYcqLIqLyVsP0Ma3oTiZ+MxpSDd8CZWPL5RjJ0K24B2IM8iQqlzzJVRPDdbqHDj6I777K2x/eRIAwGTtUPpMPiASQ/7CcIiuXAbz9kX1oFAo356n+x8vK4Ns6ftAURGUL4yHytsXiokRQHk5qkMGQiQSA1Ipqha+D+ZKRob45HFIt5KnreqNv0OccRaSnw+jeuRoVIcP1/38jiZDuvOB10cmQ2XM55p9cKqqIHv3bQoFAaiKXAD2mBb5TI0gSTgAyYF9YO4eqJq/2Pjy4kVFkCQmQHLs5xqRN+bVGcpnRoL599B4WIsL0mFz+H1Ivo2H6MHtSeXuhqpRs6AMXwBIJJD+FQtp1ipICkkgjokkqO7wIqp850HVprdxz0WguBiSw4mQHD0CVFTo/fkLiI8dhTRuK1gnL1S9u8iAE+VwGkaoLAcoQ6G1gR2I2j6/dboDVVZWIjU1FVFRUTXHxGIxwsLCcOLEiXpfc+LECURGRmocCw8Px95GMqYrKipQUSteWFioQ7Z9UhK5zAGgZ0/a/dbTFK12fzLXRkLI3WGD1yGHA87Cf3EEWqMYStjgEyzAtuGDtZ8XR2+kkr64u7417G2LsftYKMaOI4fePzAEr+EyCi/eQlRCAJIX6/63RyERI1CEXLhhyebBUEGCGXgD72A12MXjSEMf/AdTcWhDbW9HCCbgKpxwD5s3+6AC/ngcPZCx+XG9zs8RvRADMkYuwROfrq/bkM8GqyGDLWjn/cbmzmhudkkAXEE1RDewaPl93EW7Jl7RXOwBjIM9wjEMiRiMZMhwBfjwC+TACxswA7fR/sHYPgD2o1fbdCzzX4xhskTIbuZC/vWHKN/wOcq7yeHa7xYgA4rL7bDhyAysSXgHV297GfkciNYoqjkHOeg+dQ2e2Lu5E8418drG/24fzEMS0uCPHz5SgVlBSl9TdMFFdMH/EI9GOmJzDEZpqeGNEW3RyRi5ffs2qqur4Vrn6e3q6orzDbjJc3Nz6x2fW7tBWR1WrFiBjz76SJepEYxRwhhA+QRTpjS7vDYTj+O/eAn/wt/RGsUoRmtE4nOkYFCz/i5He5TVNjicMRSjA/Yh8aw6QXgnxuM1bIID7uMS9PMUFMEe5VBgJ8ZBBUpq3oDpCEMieuAsnHEbRzD4odftwHgwiADQjj4D+ucLFcAJ99EGbXAfJ/FkvWOSMRjP4kfkwMsgD6m/oK5wuYu2jYw0LEVwwG6MwUE8XfNAd8I9FMDxobGn7/bByF/i0aHVNSx7YjHG2u1CG1aINueB/A7OWP1rJL46NAsFpabqbcIwGv+HoThcY4RcRSfsx0j8iScgXAv6Ugx7fAg97nstlFAkYyK2oxIyxGM4mru+nEebR1KBNSoqSsObUlhYCE9PLUr+hFitu3uTZbnOzhSeAShVoKGQrvjMaUi3fAeUPA4wFSoXvI+fvH20PRWOgRCVrUNF3kh8tudVfFbzLPaCTdQIiK5fxYXXsqAaovvOWJTVEaKiKZjep0eto2Lg5j8h/8db6OLggOLnE+txvxt415o/D+JL/8PLT4bUf89VjoT4ZFuoevbC4jaGeEN3iNNmgDm0wcu+5rjJ2wN4ASgaBlF+Hmb7PPAGMQbplo1Q9Q2E6oneD/5jegL4D1C+DhU/roQovwB20z/Fe28r8B4obKZ6zKdxF6dBEEH63T2If6sA6+QF5bMjwfx7YpG51GRbMqWlsFnxI0QFQPXgQXhtDF9jY8GYOlLg7Gy+eehkjDg7O0MikSBPeIo/IC8vD24NJO25ubnpNB4A5HI55HK5LlNTU1d+/dQpqo5o317jsFisZc6pgw0gUgL9egMzZ8KmnpAPxwTYdQScZ+ChqyJiOBAXB5uMVGDk33T/u7261H/c1wNYNB/YtAk2h/YDwb009TIMzWMu9NUgUiD8KcO+56DApscYGzt7wM1e/XNqGnDmD/rq2JFKsYVKEzt74OWlAACZMP7ePWDXd3RHfeIJIDycyq8NQWEhJQsPGqROSh4zEhjYD/D3h8zQRsilS1SJ4+VlPrn8R4VdO4GSAqCDC2xejKj1gXOMgblCM7XRaXsnk8kQEBCApKSkmmMqlQpJSUno30D30v79+2uMB4DExMQGxxuUS5eo7DYmhr7Xh8cfByIjKQmWGyKPHn37UgXMuHGG/9tBQSSdLpWSMiTH+Pj5ke6JQkEVOOvXUzWTIPdfl6oqyg0TGiGuXElfp07pXwJ9/z7lnS1aBBw6RFVAAu3bkzCeMYyFPXuoAvDoUcP/bUvizBng+HFa41deIVE+TotH52qauLg4TJ06FevXr0dQUBDWrFmDHTt24Pz583B1dcWUKVPQoUMHrFixAgCV9oaGhiImJgYjRoxAbGwsli9fjrS0NPTo0aOJdyP0VmC9f59UVXNy6IEyZQrJLzdGaSkpbI4ebQK3L+eRp7CQHnjtjJ3gydGgpIQMgcOH1QJzHh60MbC3f3h8bi4p6548qS6NdnUloTFtQrwAacr89BPwyy81FT/w9qbuzMbWECooINFFxsggaWu6PJ5HitJS4MMP6d49bBiF3TkWjVGqaQAq1b116xY++OAD5Obmonfv3khISKhJUr169SrEtZJGQ0JCsG3bNrz33ntYtGgRunTpgr1792ptiDSLNm1IVnjzZiA9nYSq8vPp5lLfzub2bWDtWrqx5edTB15rd5daO6aUaeeosbOjDcGwYVQhd+gQ7ZAb8ie7uVGjyueeI5HDn3+mB3xtI5Kxhv8/79tHhkhtKfuRI0mN1xT3gPR0mp+3t/UaIgD16Ll/nwxJQZyQYxVYR28axsgFKohF9etHwma1tRwuXSJhqeJiEmx6803td1Qc83P+PAmTPfus8bwYmZm0U3/9dePrcnA0KS0lEQTBW1lWRhuHIUNIVKxu1Vx5OanVCsJZjAH//Cd5V/72t4evkfh4Uoj19SUjxM/PtBuRTz8lwbvx42l+1gpj1KbAxUW73mCcRx6jeUYsEpEIeOEFusC3bqVW3V27kvQ3QD9v2UK7ok6dgEi9HC4AAAuhSURBVDlz9G/PzjEPBw5QozFXV+P0B6qoADZuJGP1xx+pcy/HdLRqRV8Cycm0gbh0icr5R4zQlFtXKDQVPHNyyJjMzKSGflIpPfiFhohDh9LDr1s303tDCwrIEAEoB8qaEYmoizHH6rAuVZ2BA4G336bs+EGD1LokGzeSIdKrFzBvHjdELJGAAPrXWI3G5HJqBAfQLvrqVeO8D0c7Bg+mkEyrVhRW/eYbyjX49df6peO9vMgbWlJCY375hRJUV68mA0UuN703RECQf/fxeUgp2mo4elRTiZJjdViXMQLQDefll+mmU12tbkr29NPUb0bfkmKOeenb1/iNxgIDyehRqSgPqW4PGY7psLUlb8iKFZRbYGdHwkGbNgFLlqgTUAG6HrZupcR0Ozugd2+qwPH2pvDemjXUf8pcZGbSv4GPQKm1OUhPp89nyRLeqdeKsY4wTUNIpdT47Nw57hq0dBwcyC1/4QLtNJ9+2jjvM3EihYNu3CCvWkSEcd6Hox0KBZUCDx1KiauJieQFEfLBEhIoF0Twlvj5UU5Ily6UsH7oEH2ej9eS8s/JoYRYU21MZs+mjs9C80JroriYDBGA7sF8M2i1WLcxAlCZIDdEWgaBgcY3RuztgUmTSP8iIYF22Z07G+e9ONqjUFDy8pAhQGWl+riLCxki3buTEeLrq/6dszPw4ov0eyHXRKmkRPbKSgoFDRli/IoqsVjdsdfa2L6dEpM9POjz4Vgt1hem4bRcBKXOK1do12ss+valiizGSIyL8+igUGgaD336AFFRwDvvaBoitaldiXPnDpUQl5ZSblBUFIV36qhIG4xHv5jReKSmUo6XWEziZrxCzarhnz6n5WBvTzvMO3dIJtyYjRYmTiSjxNqrHx51RCLdPFeursBHH5Ga68GDQHY2JbseO0YJ7hER1PvKENy9C3zyCeUhjRtnXZpGRUXAtm30/TPPUGiNY9VwY4TTsnj9dUpuNPaN3c6OGyItFbGYPCq9e1Pp8E8/AX/+SRLzhgwlpKVRWe+1a9ZliACUx1NcrO4/xLF6uDHCaVnU1qIwFUVFlD8SEaEppMexbEQiCu34+gI3bwJnz2oKIR44QDIAwcH6hRiEMnShLN2aeP55qngKC+PhGQ4ACzFGBJHYwsJCM8+EYzEolSQrbeyeMoyReuZff5EqKK+uaZnY2ZHRIdyD7t8H9u6l6ywuDggNpY7h2hrDd+9SsrVg8FjjvW3MGPrXGs/dihCe202JvVuEHPz169fhyaXZORwOh8OxSK5du4aOHTs2+HuLMEZUKhVu3LgBe3t7iAwYWy0sLISnpyeuXbumX88bjlbwdTYdfK1NA19n08DX2TQYc50ZYygqKoKHh4dGE926WESYRiwWN2pRNRcHBwd+oZsAvs6mg6+1aeDrbBr4OpsGY61zmzZtmhzDdUY4HA6Hw+GYFW6McDgcDofDMStWbYzI5XJER0dDzvshGBW+zqaDr7Vp4OtsGvg6m4ZHYZ0tIoGVw+FwOBxOy8WqPSMcDofD4XDMDzdGOBwOh8PhmBVujHA4HA6HwzEr3BjhcDgcDodjVlq8MbJu3Tp07twZCoUCwcHB+O233xodv3PnTvj5+UGhUKBnz56Ij4830UwtG13WecOGDRg0aBCcnJzg5OSEsLCwJj8Xjhpdr2mB2NhYiEQiRPD+OVqh6zoXFBRgzpw5cHd3h1wuR9euXfn9Qwt0Xec1a9agW7dusLW1haenJ+bOnYvy8nITzdYyOXr0KEaNGgUPDw+IRCLs3bu3ydckJyejb9++kMvl8PX1xZYtW4w7SdaCiY2NZTKZjG3atImdO3eOzZgxgzk6OrK8vLx6x6ekpDCJRMJWrlzJMjIy2HvvvcdsbGzYmTNnTDxzy0LXdZ40aRJbt24dS09PZ5mZmeyVV15hbdq0YdevXzfxzC0PXdda4PLly6xDhw5s0KBBbPTo0aaZrAWj6zpXVFSwwMBANnz4cHbs2DF2+fJllpyczE6dOmXimVsWuq7z1q1bmVwuZ1u3bmWXL19mP/30E3N3d2dz58418cwti/j4eLZ48WK2e/duBoDt2bOn0fHZ2dmsVatWLDIykmVkZLC1a9cyiUTCEhISjDbHFm2MBAUFsTlz5tT8XF1dzTw8PNiKFSvqHT9+/Hg2YsQIjWPBwcHs9ddfN+o8LR1d17kuSqWS2dvbs2+//dZYU2wx6LPWSqWShYSEsI0bN7KpU6dyY0QLdF3nL7/8knl7e7PKykpTTbFFoOs6z5kzhw0dOlTjWGRkJBswYIBR59mS0MYYmT9/PvP399c4NmHCBBYeHm60ebXYME1lZSVSU1MRFhZWc0wsFiMsLAwnTpyo9zUnTpzQGA8A4eHhDY7n6LfOdSktLUVVVRXatm1rrGm2CPRd6yVLlsDFxQXTpk0zxTQtHn3Wed++fejfvz/mzJkDV1dX9OjRA8uXL0d1dbWppm1x6LPOISEhSE1NrQnlZGdnIz4+HsOHDzfJnK0FczwLLaJRnj7cvn0b1dXVcHV11Tju6uqK8+fP1/ua3Nzcesfn5uYabZ6Wjj7rXJcFCxbAw8PjoYufo4k+a33s2DF88803OHXqlAlm2DLQZ52zs7Nx+PBhvPTSS4iPj0dWVhZmz56NqqoqREdHm2LaFoc+6zxp0iTcvn0bAwcOBGMMSqUSs2bNwqJFi0wxZauhoWdhYWEhysrKYGtra/D3bLGeEY5lEBMTg9jYWOzZswcKhcLc02lRFBUVYfLkydiwYQOcnZ3NPZ0WjUqlgouLC77++msEBARgwoQJWLx4Mb766itzT61FkZycjOXLl+Pf//430tLSsHv3bhw4cABLly4199Q4zaTFekacnZ0hkUiQl5encTwvLw9ubm71vsbNzU2n8Rz91llg1apViImJwaFDh/DEE08Yc5otAl3X+tKlS7hy5QpGjRpVc0ylUgEApFIpLly4AB8fH+NO2gLR55p2d3eHjY0NJBJJzbHu3bsjNzcXlZWVkMlkRp2zJaLPOr///vuYPHkypk+fDgDo2bMnSkpKMHPmTCxevBhiMd9fG4KGnoUODg5G8YoALdgzIpPJEBAQgKSkpJpjKpUKSUlJ6N+/f72v6d+/v8Z4AEhMTGxwPEe/dQaAlStXYunSpUhISEBgYKAppmrx6LrWfn5+OHPmDE6dOlXz9dxzz2HIkCE4deoUPD09TTl9i0Gfa3rAgAHIysqqMfYA4OLFi3B3d+eGSAPos86lpaUPGRyCAch4mzWDYZZnodFSYx8BYmNjmVwuZ1u2bGEZGRls5syZzNHRkeXm5jLGGJs8eTJbuHBhzfiUlBQmlUrZqlWrWGZmJouOjualvVqg6zrHxMQwmUzGdu3axW7evFnzVVRUZK5TsBh0Xeu68Goa7dB1na9evcrs7e3Zm2++yS5cuMD279/PXFxc2Mcff2yuU7AIdF3n6OhoZm9vz7Zv386ys7PZwYMHmY+PDxs/fry5TsEiKCoqYunp6Sw9PZ0BYJ9//jlLT09nOTk5jDHGFi5cyCZPnlwzXijtfffdd1lmZiZbt24dL+1tLmvXrmWdOnViMpmMBQUFsZMnT9b8LjQ0lE2dOlVj/I4dO1jXrl2ZTCZj/v7+7MCBAyaesWWiyzp7eXkxAA99RUdHm37iFoiu13RtuDGiPbqu8/Hjx1lwcDCTy+XM29ubLVu2jCmVShPP2vLQZZ2rqqrYhx9+yHx8fJhCoWCenp5s9uzZ7N69e6afuAVx5MiReu+5wtpOnTqVhYaGPvSa3r17M5lMxry9vdnmzZuNOkcRY9y3xeFwOBwOx3y02JwRDofD4XA4lgE3RjgcDofD4ZgVboxwOBwOh8MxK9wY4XA4HA6HY1a4McLhcDgcDsescGOEw+FwOByOWeHGCIfD4XA4HLPCjREOh8PhcDhmhRsjHA6Hw+FwzAo3RjgcDofD4ZgVboxwOBwOh8MxK9wY4XA4HA6HY1b+H38qrBswONyYAAAAAElFTkSuQmCC", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "ax = plt.gca()\n", + "scene.plot(ax)\n", + "\n", + "for _, _, valid, path, path_candidate in scene.all_paths(\n", + " min_order=order, max_order=order\n", + "):\n", + " if is_true(valid):\n", + " path.plot(ax)\n", + " else:\n", + " path.plot(ax, linestyle=\"--\", color=\"red\", alpha=0.6)\n", + "\n", + "plt.xlim(*xlim)\n", + "plt.ylim(*ylim)\n", + "\n", "plt.show()" ] }, @@ -76,7 +132,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 4, "id": "12c60a29", "metadata": {}, "outputs": [], @@ -86,14 +142,19 @@ "\n", "\n", "def random_scenes(\n", + " min_ratio: float = 0.24,\n", + " max_ratio: float = 0.26,\n", + " min_num_walls: int = 4,\n", + " min_angle: float = -0.0 * jnp.pi,\n", + " max_angle: float = +0.0 * jnp.pi,\n", " *,\n", " key: PRNGKeyArray,\n", - " min_ratio: float = 0.20,\n", - " max_ratio: float = 0.30,\n", - " min_num_walls: int = 4,\n", - " min_angle: float = -0.05 * jnp.pi,\n", - " max_angle: float = +0.05 * jnp.pi,\n", ") -> Iterator[tuple[Scene, Float[Array, \"2+num_walls*2 2\"]]]:\n", + " \"\"\"\n", + " Returns a generator of random variant of :func:`Scene.square_scene_with_obstacle`.\n", + "\n", + " :param key: TODO.\n", + " \"\"\"\n", " while True:\n", " key, key_ratio, key_tx_rx, key_num_walls, key_walls, key_angles = (\n", " jax.random.split(key, 6)\n", @@ -135,6 +196,13 @@ "def samples(\n", " order: int, **kwargs: Any\n", ") -> Iterator[tuple[Float[Array, \"2+num_walls*2 2\"], Int[Array, \"num_paths {order}\"]]]:\n", + " \"\"\"\n", + " Returns a generator of random (train or test) samples for the model.\n", + "\n", + " :param order: The order of the paths to generate.\n", + " :param kwargs: Keyword arguments passed to :func:`random_scenes`.\n", + " :return: A generator of (scene coordinates, path_candidates).\n", + " \"\"\"\n", " for scene, points in random_scenes(**kwargs):\n", " path_candidates = [\n", " path_candidate\n", @@ -157,17 +225,28 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 5, "id": "5eabdeb5-1f97-4745-b4db-bdb17205e7b5", "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "image/png": "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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "ax = plt.gca()\n", "scene, _ = next(scenes)\n", "scene.plot(ax)\n", "\n", "for _, _, path, _ in scene.all_valid_paths(\n", - " min_order=order, max_order=order, approx=False\n", + " order=order\n", "):\n", " path.plot(ax)\n", "\n", @@ -176,7 +255,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 6, "id": "ac336913-6a59-4eda-9ddc-621fc12b9a37", "metadata": {}, "outputs": [], @@ -184,13 +263,15 @@ "key, key_model, key_train, key_samples = jax.random.split(key, 4)\n", "key_train_samples, key_test_samples = jax.random.split(key_samples, 2)\n", "\n", - "train_samples = samples(order=order, key=key_train_samples)\n", - "test_samples = samples(order=order, key=key_test_samples)" + "# Let's filter out the cases with not valid paths, because they are not intersting to learn from.\n", + "\n", + "train_samples = filter(lambda args: args[0].shape[0] > 0, samples(order=order, key=key_train_samples))\n", + "test_samples = filter(lambda args: args[0].shape[0] > 0, samples(order=order, key=key_test_samples))" ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 7, "id": "ec513edd-a2d1-475e-91b7-81430bf7ab8b", "metadata": {}, "outputs": [], @@ -203,48 +284,15 @@ " bool_ = jax.vmap(jnp.equal, in_axes=(None, 0))(row, matrix)\n", " return jnp.any(jnp.all(bool_, axis=1), axis=0)\n", "\n", - "\n", - "@jax.jit\n", - "@jaxtyped(typechecker=typechecker)\n", - "def rows_in_matrix(\n", - " rows: Shaped[Array, \"batch num_cols\"], matrix: Shaped[Array, \"num_rows num_cols\"]\n", - ") -> Bool[Array, \" batch\"]:\n", - " return jax.vmap(row_in_matrix, in_axes=(0, None))(rows, matrix)\n", - "\n", - "\n", "@jax.jit\n", "@jaxtyped(typechecker=typechecker)\n", "def reward(\n", - " pred_path_candidates: Int[Array, \"batch order\"],\n", + " pred_path_candidate: Int[Array, \"order\"],\n", " true_path_candidates: Int[Array, \"num_paths order\"],\n", ") -> Float[Array, \" \"]:\n", - " # 1. Check if predicted path candidates are in the set of true path candidates\n", - " pred_in_true = rows_in_matrix(pred_path_candidates, true_path_candidates)\n", - " valid_count = jnp.sum(pred_in_true)\n", - " invalid_count = jnp.sum(~pred_in_true)\n", + " pred_in_true = row_in_matrix(pred_path_candidate, true_path_candidates)\n", "\n", - " return jnp.where(true_path_candidates.size > 0, valid_count - invalid_count, 0.0)" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "75329d56-d831-4985-a0bb-628d0f52b0ca", - "metadata": {}, - "outputs": [], - "source": [ - "# Example to show how the reward function works\n", - "pred_path_candidates = jnp.array(\n", - " [[0, 1], [2, 3], [1, 2], [2, 3], [0, 1], [4, 5]], dtype=jnp.int32\n", - ")\n", - "\n", - "confidences = jnp.array([1.0, 1.0, 0.5, 1.0, 0.0, 0.0])\n", - "\n", - "true_path_candidates = jnp.array([[0, 1], [2, 3]], dtype=jnp.int32)\n", - "\n", - "with jax.disable_jit():\n", - " r = reward(pred_path_candidates, true_path_candidates)\n", - " print(r)" + " return jnp.sum(pred_in_true.astype(float))" ] }, { @@ -257,79 +305,62 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 8, "id": "c985f39b-501f-4c4a-abdf-474c1568ad8d", "metadata": {}, "outputs": [], "source": [ - "class Model(eqx.Module):\n", - " # Hyperparameters\n", + "class FlowModel(eqx.Module):\n", " order: int = eqx.field(static=True)\n", - " \"\"\"The order of the path(s).\"\"\"\n", - " hidden_size: int = eqx.field(static=True)\n", - " \"\"\"The hidden size of the GRU cell.\"\"\"\n", " # Layers\n", - " wall_2_embeddings: eqx.nn.MLP\n", + " scene_2_embeddings: eqx.nn.MLP\n", " \"\"\"MLP that is applied to each object in parallel and returns embeddings.\"\"\"\n", - " tx_rx_wall_embeddings_and_state_2_prob: eqx.nn.MLP\n", - " \"\"\"MLP that maps each possible choice to some probability [0, 1].\"\"\"\n", - " dropout: eqx.nn.Dropout\n", - " \"\"\"Dropout layer to randomly zero some probabilities during training.\"\"\"\n", - " cell: eqx.nn.GRUCell\n", - " \"\"\"Recurrent cell.\"\"\"\n", + " state_and_embeddings_2_flow: eqx.nn.MLP\n", + " \"\"\"MLP that maps each possible choice to some positive flow.\"\"\"\n", "\n", " def __init__(\n", " self,\n", " # Hyperparameters\n", - " order: int = 1,\n", - " tx_size: int = 2,\n", - " rx_size: int = 2,\n", - " wall_size: int = 4,\n", - " wall_num_embeddings: int = 100,\n", - " hidden_size: int = 100,\n", + " order: int,\n", + " num_embeddings: int = 100,\n", " *,\n", " key: PRNGKeyArray,\n", " ):\n", + "\n", + " key1, key2 = jax.random.split(key, 2)\n", + "\n", " if order < 0:\n", " raise ValueError(f\"Order must be greater or equal to 0, got {order}.\")\n", "\n", - " key1, key2, key3 = jax.random.split(key, 3)\n", - "\n", - " # Hyperparameters\n", " self.order = order\n", - " self.hidden_size = hidden_size\n", - "\n", " # Layers\n", - " self.wall_2_embeddings = eqx.nn.MLP(\n", - " in_size=wall_size,\n", - " out_size=wall_num_embeddings,\n", - " width_size=100,\n", - " depth=2,\n", + " self.scene_2_embeddings = eqx.nn.MLP(\n", + " in_size=2,\n", + " out_size=num_embeddings,\n", + " width_size=500,\n", + " depth=3,\n", " key=key1,\n", " )\n", - " self.tx_rx_wall_embeddings_and_state_2_prob = eqx.nn.MLP(\n", - " in_size=tx_size + rx_size + wall_num_embeddings + hidden_size,\n", + " self.state_and_embeddings_2_flow = eqx.nn.MLP(\n", + " in_size=order + num_embeddings,\n", " out_size=\"scalar\",\n", - " width_size=100,\n", - " depth=2,\n", + " width_size=500,\n", + " depth=3,\n", + " final_activation=jnp.exp,\n", " key=key2,\n", " )\n", - " self.dropout = eqx.nn.Dropout()\n", - " self.cell = eqx.nn.GRUCell(\n", - " input_size=wall_num_embeddings,\n", - " hidden_size=hidden_size,\n", - " key=key3,\n", - " )\n", - "\n", + " \n", " @eqx.filter_jit\n", " @jaxtyped(typechecker=typechecker)\n", " def __call__(\n", " self,\n", - " xys: Float[Array, \"two_plus_num_walls_times_two 2\"],\n", + " state: Float[Array, \"num_walls order\"],\n", + " index: Int[Array, \" \"],\n", + " xys: Float[Array, \"2+num_walls*2 2\"],\n", " *,\n", - " key: Optional[PRNGKeyArray] = None,\n", - " ) -> Int[Array, \"{self.order}\"]:\n", - " assert xys.shape[0] >= 2, \"Scene must at least have two points: tx and rx.\"\n", + " key: PRNGKeyArray,\n", + " ) -> tuple[Float[Array, \"num_walls\"], Int[Array, \" \"]]:\n", + " assert xys.shape[0] >= 4, \"Scene must at least have two points, tx and rx, and one wall!\"\n", "\n", " # Data normalization\n", " eps = 1e-5\n", @@ -338,74 +369,21 @@ "\n", " xys = (xys - mean) / (std + eps)\n", "\n", - " # [2]\n", - " tx = xys[0, :]\n", - " rx = xys[1, :]\n", - "\n", - " # [num_walls, 2x2]\n", - " walls = xys[2:, :].reshape(-1, 4)\n", - " num_walls = walls.shape[0]\n", - "\n", - " jax.debug.print(\"num_walls = {num_walls}\", num_walls=num_walls)\n", - "\n", - " # Handle empty scene\n", - " if walls.size == 0:\n", - " if self.order == 0:\n", - " return (\n", - " jnp.empty(0, dtype=jnp.int32),\n", - " jnp.array(1.0),\n", - " prev_state,\n", - " ) # One path candidate of size 0, but it does not make sense to use this model for order < 1\n", - " else:\n", - " return (\n", - " jnp.empty(self.order, dtype=jnp.int32),\n", - " jnp.array(0.0),\n", - " prev_state,\n", - " ) # Zero path candidate of size order, so we return a 0 confidence\n", - "\n", - " walls_embeddings = jax.vmap(self.wall_2_embeddings)(walls)\n", - "\n", - " Carry = tuple[Float[Array, \" hidden_size\"], Int[Array, \" \"]]\n", - " Index = Int[Array, \" \"]\n", - "\n", - " @jaxtyped(typechecker=typechecker)\n", - " def scan_fn(carry: Carry, key: PRNGKeyArray) -> tuple[Carry, Index]:\n", - " state, prev_index = carry\n", - " key_choice, key_dropout = jax.random.split(key, 2)\n", - " probs = jax.vmap(\n", - " lambda wall_embeddings: self.tx_rx_wall_embeddings_and_state_2_prob(\n", - " jnp.concatenate((tx, rx, wall_embeddings, state))\n", - " )\n", - " )(walls_embeddings)\n", - " probs = jnp.where(\n", - " prev_index < num_walls,\n", - " probs.at[prev_index].set(\n", - " 0.0\n", - " ), # We avoid selecting the same index twice in a row\n", - " probs,\n", - " )\n", - " probs = self.dropout(probs, key=key_dropout)\n", - " \n", - " index = jax.random.choice(key=key_choice, a=num_walls, p=probs)\n", - "\n", - " state = self.cell(walls_embeddings[index, :], state)\n", - " jax.debug.print(\"a. returning index = {index}\", index=index)\n", - " index = index.astype(jnp.int32)\n", + " # [num_embeddings]\n", + " embeddings = jnp.sum(jax.vmap(self.scene_2_embeddings)(xys), axis=0)\n", "\n", - " jax.debug.print(\"returning index = {index}\", index=index)\n", + " # [num_walls num_embeddings]\n", + " embeddings = jnp.tile(embeddings, (state.shape[0], 1))\n", "\n", - " return (state, index), index\n", + " flow = jax.vmap(self.state_and_embeddings_2_flow)(jnp.hstack((state, embeddings)))\n", "\n", - " init_state = jnp.zeros(self.hidden_size)\n", + " flow = jnp.where(index >= 0, flow.at[index].set(0.0), flow)\n", "\n", - " prev_index = jnp.array(num_walls, dtype=jnp.int32)\n", - " init = (init_state, prev_index)\n", + " p = flow / jnp.sum(flow)\n", "\n", - " _, path_candidate = jax.lax.scan(\n", - " scan_fn, init, xs=jax.random.split(key, self.order)\n", - " )\n", + " index = jax.random.categorical(key=key, logits=jnp.log(p)) # Action to take\n", "\n", - " return path_candidate" + " return flow, index" ] }, { @@ -418,35 +396,81 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 20, "id": "7be7b365-8559-4413-8485-a6126cebee45", "metadata": {}, "outputs": [], "source": [ - "@jaxtyped(typechecker=typechecker)\n", + "@jaxtyped(typechecker=None)\n", "def loss(\n", - " model: Model,\n", - " xys: Float[Array, \"two_plus_num_walls_times_two 2\"],\n", + " model: FlowModel,\n", + " xys: Float[Array, \"2+num_walls*2 2\"],\n", " true_path_candidates: Int[Array, \"num_paths order\"],\n", - " batch: int = 10,\n", + " batch_size: int = 10,\n", " plot: bool = False,\n", " *,\n", " key: PRNGKeyArray,\n", ") -> Float[Array, \" \"]:\n", " \"\"\"\n", " Compute the loss of the model on a specific input scene.\n", + "\n", + " The loss is accumulated over the generation of 'batch_size' path candidates.\n", " \"\"\"\n", + " num_walls = (xys.shape[0] - 2) // 2\n", + " order = true_path_candidates.shape[1]\n", "\n", + " ScanR = Int[Array, \" \"]\n", + " ScanC = tuple[Float[Array, \" \"], Float[Array, \" num_walls\"], ScanR, Float[Array, \"num_walls order\"]]\n", + " \n", " @jaxtyped(typechecker=typechecker)\n", - " def scan_fn(_init: tuple, key: PRNGKeyArray) -> tuple[tuple, Int[Array, \" order\"]]:\n", - " pred_path_candidate = model(xys, key=key)\n", + " def scan_fn(carry: ScanC, key_and_current_order: tuple[PRNGKeyArray, Int[Array, \" \"]]) -> tuple[ScanC, ScanR]:\n", + " # We carry, for the currently generated path candidates:\n", + " # - the flow mismatch (parent edges flow - current flow)\n", + " # - the parent edge flow (only one parent leads to the current choice)\n", + " # - the parent index\n", + " # - the state (path candidate using one-hot encoding)\n", + " flow_mismatch, parent_edge_flow_prediction, index, state = carry\n", + " key, current_order = key_and_current_order\n", + "\n", + " edge_flow_prediction, index = model(state, index, xys, key=key)\n", + "\n", + " flow_mismatch += (parent_edge_flow_prediction[index] - jnp.sum(edge_flow_prediction)) ** 2\n", + "\n", + " # Indicate we have chosen walls[index] as a candidate at 'current_order'\n", + " state = state.at[index, current_order].set(1.0)\n", "\n", - " return (), pred_path_candidate\n", + " jax.debug.print(\"State at {current_order} {index}: {state}\", current_order=current_order, index=index, state=state)\n", "\n", - " _, pred_path_candidates = jax.lax.scan(scan_fn, (), xs=jax.random.split(key, batch))\n", + " return (flow_mismatch, edge_flow_prediction, index, state), index\n", + "\n", + " BatchC = Float[Array, \" \"]\n", + " BatchR = Int[Array, \" order\"]\n", + " \n", + " @jaxtyped(typechecker=typechecker)\n", + " def batch_fn(batch_loss: BatchC, key: PRNGKeyArray) -> tuple[BatchC, BatchR]:\n", + " key_init, key_scan, key_last_state = jax.random.split(key, 3)\n", + " num_scan = max(order - 1, 0)\n", + " flow_mismatch = jnp.array(0.0)\n", + " index = jnp.array(-1)\n", + " state = jnp.zeros((num_walls, order))\n", + " jax.debug.print(\"State at 0 {index}: {state}\", index=index, state=state)\n", + " parent_edge_flow_prediction, index = model(state, index, xys, key=key_init)\n", + " init = flow_mismatch, parent_edge_flow_prediction, index, state\n", + " (flow_mismatch, edge_flow_prediction, index, state), pred_path_candidate = jax.lax.scan(scan_fn, init, xs=(jax.random.split(key, num_scan), jnp.arange(num_scan)))\n", + "\n", + " edge_flow_prediction, index = model(state, index, xys, key=key)\n", + " pred_path_candidate = jnp.concatenate((pred_path_candidate, jnp.atleast_1d(index)))\n", + " state = state.at[index, -1].set(1.0)\n", + " jax.debug.print(\"State at -1 {index}: {state}\", index=index, state=state)\n", + " flow_mismatch += (parent_edge_flow_prediction[index] - reward(pred_path_candidate, true_path_candidates)) ** 2\n", + "\n", + " return batch_loss + flow_mismatch, pred_path_candidate\n", + "\n", + " batch_loss = jnp.array(0.0)\n", + " batch_loss, pred_path_candidates = jax.lax.scan(batch_fn, batch_loss, xs=jax.random.split(key, batch_size))\n", "\n", " if plot:\n", - " order = model.order\n", + " order = true_path_candidates.shape[1]\n", " tx = Point(xy=xys[0, :])\n", " rx = Point(xy=xys[1, :])\n", " walls = xys[2:].reshape(-1, 2, 2)\n", @@ -457,67 +481,273 @@ " )\n", " ax = plt.gca()\n", " scene.plot(ax)\n", + " ax.set_xlim(-0.1, 1.1)\n", + " ax.set_ylim(-0.1, 1.1)\n", "\n", " for _, _, path, _ in scene.all_valid_paths(\n", - " min_order=order, max_order=order, approx=False\n", + " order=order\n", " ):\n", " path.plot(ax, color=\"orange\")\n", "\n", - " if len(walls) > 0:\n", - " print(pred_path_candidates)\n", - " for pred_path_candidate in jnp.unique(pred_path_candidates, axis=0):\n", - " objects = [scene.objects[i] for i in pred_path_candidate]\n", - " ImagePath.from_tx_objects_rx(tx, objects, rx).plot(\n", - " ax, linestyle=\"--\", alpha=0.5, color=\"red\"\n", - " )\n", + " for pred_path_candidate in jnp.unique(pred_path_candidates, axis=0):\n", + " objects = [scene.objects[i] for i in pred_path_candidate]\n", + " ImagePath.from_tx_objects_rx(tx, objects, rx).plot(\n", + " ax, linestyle=\"--\", alpha=0.5, color=\"red\"\n", + " )\n", "\n", - " return - reward(pred_path_candidates, true_path_candidates)" + " return batch_loss" ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 21, "id": "6bf67f8a-b55a-4449-bdce-6a1fd6bf25fb", "metadata": {}, "outputs": [], "source": [ - "training_model = Model(order=order, key=key_model)\n", - "optim = optax.sgd(learning_rate=1e-4)" + "training_model = FlowModel(order=order, key=key_model)\n", + "optim = optax.adam(learning_rate=3e-4)" ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 22, "id": "0b7cb03a-b637-4fc5-bd98-129c48844f7f", "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "State at 0 -1: [[0. 0.]\n", + " [0. 0.]\n", + " [0. 0.]\n", + " [0. 0.]\n", + " [0. 0.]\n", + " [0. 0.]]\n", + "State at 0 2: [[0. 0.]\n", + " [0. 0.]\n", + " [1. 0.]\n", + " [0. 0.]\n", + " [0. 0.]\n", + " [0. 0.]]\n", + "State at -1 4: [[0. 0.]\n", + " [0. 0.]\n", + " [1. 0.]\n", + " [0. 0.]\n", + " [0. 1.]\n", + " [0. 0.]]\n", + "State at 0 -1: [[0. 0.]\n", + " [0. 0.]\n", + " [0. 0.]\n", + " [0. 0.]\n", + " [0. 0.]\n", + " [0. 0.]]\n", + "State at 0 1: [[0. 0.]\n", + " [1. 0.]\n", + " [0. 0.]\n", + " [0. 0.]\n", + " [0. 0.]\n", + " [0. 0.]]\n", + "State at -1 5: [[0. 0.]\n", + " [1. 0.]\n", + " [0. 0.]\n", + " [0. 0.]\n", + " [0. 0.]\n", + " [0. 1.]]\n", + "State at 0 -1: [[0. 0.]\n", + " [0. 0.]\n", + " [0. 0.]\n", + " [0. 0.]\n", + " [0. 0.]\n", + " [0. 0.]]\n", + "State at 0 1: [[0. 0.]\n", + " [1. 0.]\n", + " [0. 0.]\n", + " [0. 0.]\n", + " [0. 0.]\n", + " [0. 0.]]\n", + "State at -1 3: [[0. 0.]\n", + " [1. 0.]\n", + " [0. 0.]\n", + " [0. 1.]\n", + " [0. 0.]\n", + " [0. 0.]]\n", + "State at 0 -1: [[0. 0.]\n", + " [0. 0.]\n", + " [0. 0.]\n", + " [0. 0.]\n", + " [0. 0.]\n", + " [0. 0.]]\n", + "State at 0 1: [[0. 0.]\n", + " [1. 0.]\n", + " [0. 0.]\n", + " [0. 0.]\n", + " [0. 0.]\n", + " [0. 0.]]\n", + "State at -1 5: [[0. 0.]\n", + " [1. 0.]\n", + " [0. 0.]\n", + " [0. 0.]\n", + " [0. 0.]\n", + " [0. 1.]]\n", + "State at 0 -1: [[0. 0.]\n", + " [0. 0.]\n", + " [0. 0.]\n", + " [0. 0.]\n", + " [0. 0.]\n", + " [0. 0.]]\n", + "State at 0 2: [[0. 0.]\n", + " [0. 0.]\n", + " [1. 0.]\n", + " [0. 0.]\n", + " [0. 0.]\n", + " [0. 0.]]\n", + "State at -1 3: [[0. 0.]\n", + " [0. 0.]\n", + " [1. 0.]\n", + " [0. 1.]\n", + " [0. 0.]\n", + " [0. 0.]]\n", + "State at 0 -1: [[0. 0.]\n", + " [0. 0.]\n", + " [0. 0.]\n", + " [0. 0.]\n", + " [0. 0.]\n", + " [0. 0.]]\n", + "State at 0 0: [[1. 0.]\n", + " [0. 0.]\n", + " [0. 0.]\n", + " [0. 0.]\n", + " [0. 0.]\n", + " [0. 0.]]\n", + "State at -1 5: [[1. 0.]\n", + " [0. 0.]\n", + " [0. 0.]\n", + " [0. 0.]\n", + " [0. 0.]\n", + " [0. 1.]]\n", + "State at 0 -1: [[0. 0.]\n", + " [0. 0.]\n", + " [0. 0.]\n", + " [0. 0.]\n", + " [0. 0.]\n", + " [0. 0.]]\n", + "State at 0 1: [[0. 0.]\n", + " [1. 0.]\n", + " [0. 0.]\n", + " [0. 0.]\n", + " [0. 0.]\n", + " [0. 0.]]\n", + "State at -1 3: [[0. 0.]\n", + " [1. 0.]\n", + " [0. 0.]\n", + " [0. 1.]\n", + " [0. 0.]\n", + " [0. 0.]]\n", + "State at 0 -1: [[0. 0.]\n", + " [0. 0.]\n", + " [0. 0.]\n", + " [0. 0.]\n", + " [0. 0.]\n", + " [0. 0.]]\n", + "State at 0 2: [[0. 0.]\n", + " [0. 0.]\n", + " [1. 0.]\n", + " [0. 0.]\n", + " [0. 0.]\n", + " [0. 0.]]\n", + "State at -1 1: [[0. 0.]\n", + " [0. 1.]\n", + " [1. 0.]\n", + " [0. 0.]\n", + " [0. 0.]\n", + " [0. 0.]]\n", + "State at 0 -1: [[0. 0.]\n", + " [0. 0.]\n", + " [0. 0.]\n", + " [0. 0.]\n", + " [0. 0.]\n", + " [0. 0.]]\n", + "State at 0 3: [[0. 0.]\n", + " [0. 0.]\n", + " [0. 0.]\n", + " [1. 0.]\n", + " [0. 0.]\n", + " [0. 0.]]\n", + "State at -1 4: [[0. 0.]\n", + " [0. 0.]\n", + " [0. 0.]\n", + " [1. 0.]\n", + " [0. 1.]\n", + " [0. 0.]]\n", + "State at 0 -1: [[0. 0.]\n", + " [0. 0.]\n", + " [0. 0.]\n", + " [0. 0.]\n", + " [0. 0.]\n", + " [0. 0.]]\n", + "State at 0 4: [[0. 0.]\n", + " [0. 0.]\n", + " [0. 0.]\n", + " [0. 0.]\n", + " [1. 0.]\n", + " [0. 0.]]\n", + "State at -1 2: [[0. 0.]\n", + " [0. 0.]\n", + " [0. 1.]\n", + " [0. 0.]\n", + " [1. 0.]\n", + " [0. 0.]]\n" + ] + }, + { + "data": { + "text/plain": [ + "Array(178.74922, dtype=float32)" + ] + }, + "execution_count": 22, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": "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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ - "loss(training_model, *next(train_samples), plot=True, key=key) # Untrained model" + "key, key_loss_untrained = jax.random.split(key, 2)\n", + "loss(training_model, *next(train_samples), plot=True, key=key_loss_untrained) # Untrained model" ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 12, "id": "930a3ef7-345b-4e47-993e-64944701a597", "metadata": {}, "outputs": [], "source": [ "def train(\n", - " model: Model,\n", + " model: FlowModel,\n", " train_samples: Iterator,\n", - " test_samples: Iterator,\n", " optim: optax.GradientTransformation,\n", - " steps: int = 10_000,\n", - " print_every: int = 1_000,\n", - " num_test_samples: int = 100,\n", + " steps: int = 2_000,\n", + " print_every: int = 100,\n", " *,\n", " key: PRNGKeyArray,\n", - ") -> tuple[Model, Float[Array, \"{steps}\"]]:\n", + ") -> tuple[FlowModel, Float[Array, \"{steps}\"]]:\n", " opt_state = optim.init(eqx.filter(model, eqx.is_array))\n", "\n", " @eqx.filter_jit\n", " def make_step(\n", - " model: Model,\n", + " model: FlowModel,\n", " opt_state: optax.OptState,\n", " xys: Float[Array, \"2+num_walls*2 2\"],\n", " true_path_candidates: Float[Array, \"num_paths order\"],\n", @@ -531,9 +761,7 @@ " model = eqx.apply_updates(model, updates)\n", " return model, opt_state, loss_value\n", "\n", - " test_losses = []\n", - "\n", - " jitted_loss = eqx.filter_jit(loss)\n", + " losses = []\n", "\n", " with trange(steps, desc=\"\", unit=\" steps\", leave=True) as bar:\n", " for step, (x_train, y_train) in zip(bar, train_samples):\n", @@ -542,55 +770,122 @@ " model, opt_state, train_loss = make_step(\n", " model, opt_state, x_train, y_train, key=key_step\n", " )\n", + " losses.append(train_loss)\n", " if (step % print_every) == 0 or (step == steps - 1):\n", - " test_loss = 0\n", - " for _, (x_test, y_test) in zip(\n", - " range(num_test_samples),\n", - " test_samples,\n", - " ):\n", - " key, key_test = jax.random.split(key, 2)\n", - " test_loss += jitted_loss(model, x_test, y_test, key=key_test)\n", - " test_loss /= num_test_samples\n", - "\n", " bar.set_description(\n", - " f\"train_loss = {float(train_loss):.1f}, test_loss = {float(test_loss):.1f}\"\n", + " f\"train_loss = {float(train_loss):.1f}\"\n", " )\n", - " test_losses.append(test_loss)\n", "\n", - " return model, jnp.array(test_losses)" + " return model, jnp.array(losses)" ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 14, "id": "0c04eb13-9336-49d5-aecb-8588b265f13e", "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "application/vnd.jupyter.widget-view+json": { + "model_id": "e868594cc69f414b85f5437f4dd408aa", + "version_major": 2, + "version_minor": 0 + }, + "text/plain": [ + " 0%| | 0/2000 [00:00]" + ] + }, + "execution_count": 14, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": "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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "training_model, losses = train(\n", - " training_model, train_samples, test_samples, optim, key=key_train\n", + " training_model, train_samples, optim, key=key_train\n", ")\n", "inference_model = eqx.nn.inference_mode(training_model)\n", "\n", - "plt.plot(losses)" + "plt.semilogy(losses)" ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 19, "id": "f6ef95aa-37cc-48a4-b098-33a3c202c082", "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "text/plain": [ + "Array(1., dtype=float32)" + ] + }, + "execution_count": 19, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": "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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ - "key, key_test_inference = jax.random.split(key, 2)\n", + "key, key_loss_trained = jax.random.split(key, 2)\n", "\n", - "loss(inference_model, *next(test_samples), plot=True, key=key_test_inference)" + "loss(inference_model, *next(test_samples), plot=True, key=key_loss_trained)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "57f67cd9-29d2-4648-bf07-3f3114b03551", + "metadata": {}, + "outputs": [], + "source": [ + "state = jnp.zeros((10, 5))" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "319bb3e1-9abc-464e-ae15-e62a44cd2604", + "metadata": {}, + "outputs": [], + "source": [ + "state.at[1, 2].set(9.0)" ] }, { "cell_type": "code", "execution_count": null, - "id": "f340758e-d9e8-47fc-bad8-c30370c0bb0e", + "id": "1a8f6bf0-e409-4cdc-915f-2398fa3d0653", "metadata": {}, "outputs": [], "source": [] diff --git a/docs/source/NotGFlowNet.ipynb b/docs/source/NotGFlowNet.ipynb new file mode 100644 index 0000000..8f01805 --- /dev/null +++ b/docs/source/NotGFlowNet.ipynb @@ -0,0 +1,798 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "ef6e59c4-1cf7-47b8-845e-aab23351901f", + "metadata": {}, + "source": [ + "# Learning to trace geometrical paths for faster Ray Tracing\n", + "\n", + "TODO" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "id": "9f9311af", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "An NVIDIA GPU may be present on this machine, but a CUDA-enabled jaxlib is not installed. Falling back to cpu.\n" + ] + } + ], + "source": [ + "from collections.abc import Iterator\n", + "from typing import Any, Optional\n", + "\n", + "import equinox as eqx\n", + "import jax\n", + "import jax.numpy as jnp\n", + "import matplotlib.pyplot as plt\n", + "import optax\n", + "from beartype import beartype as typechecker\n", + "from jaxtyping import Array, Bool, Float, Int, PRNGKeyArray, Shaped, jaxtyped\n", + "from tqdm.notebook import trange\n", + "\n", + "from differt2d.geometry import ImagePath, Point, Wall\n", + "from differt2d.scene import Scene" + ] + }, + { + "cell_type": "markdown", + "id": "dd6fc26d-9540-4b37-8972-4e07a5b6de4b", + "metadata": {}, + "source": [ + "## Problem definition\n", + "\n", + "The goal of our model is to generate all the paths, of a given order, between TX and RX in a 2D scene.\n", + "\n", + "Here, the" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "id": "ba065097-559e-49bf-ba45-e1b786af4f7b", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": "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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "ax = plt.gca()\n", + "scene = Scene.square_scene_with_obstacle()\n", + "scene.plot(ax)\n", + "\n", + "order = 2\n", + "\n", + "for _, _, path, _ in scene.all_valid_paths(\n", + " min_order=order, max_order=order, approx=False\n", + "):\n", + " path.plot(ax)" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "id": "e9b0682c-4f25-47a2-a6b1-8ae274e0a046", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": "iVBORw0KGgoAAAANSUhEUgAAAi4AAAGiCAYAAADA0E3hAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjguNCwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy8fJSN1AAAACXBIWXMAAA9hAAAPYQGoP6dpAAEAAElEQVR4nOxdd5gb1fU9att79xb33nu3MdjGFIMLJUASCD8gQEInCb2GktBCh9AChNCxTTHYGBfce+/dXu96e++rlX5/nHn7RtJIK23Tljnfp0+j0Whm1Oadd++55xrsdrsdOnTo0KFDhw4d7QBGf5+ADh06dOjQoUOHt9CJiw4dOnTo0KGj3UAnLjp06NChQ4eOdgOduOjQoUOHDh062g104qJDhw4dOnToaDfQiYsOHTp06NCho91AJy46dOjQoUOHjnYDnbjo0KFDhw4dOtoNdOKiQ4cOHTp06Gg30ImLDh06dOjQoaPdwGfisnr1alxyySVITk6GwWDAokWLGnzNqlWrMHLkSAQGBqJ379748MMPG3GqOnTo0KFDh47ODp+JS3l5OYYNG4Y33njDq+1PnDiBiy++GOeeey527tyJu+66CzfeeCOWLl3q88nq0KFDhw4dOjo3DE1psmgwGLBw4ULMnTvX7Tb33XcfFi9ejL1799avu+qqq1BUVIQlS5Y09tA6dOjQoUOHjk4Ic0sfYMOGDZgxY4bDulmzZuGuu+5y+5rq6mpUV1fXP7bZbCgoKEBsbCwMBkNLnaoOHTp06NChoxlht9tRWlqK5ORkGI3NI6ttceKSlZWFxMREh3WJiYkoKSlBZWUlgoODXV7z7LPP4oknnmjpU9OhQ4cOHTp0tALS09ORmpraLPtqceLSGDzwwAO455576h8XFxeja9euSE9PR0REhB/PTEeromgfsGIGYK0AUi4GMhZzfUAMUFsC2K1AQDQw+zBgDvB+v0tGASVHgZAUYPZ+716z437gyFuAMQCw1cj1/e8ChnpBsjN/BtZeweXwXsCF2z1vX3QA+Hm8fHzBNiCit3y89W7g+AdAz98Do19v+PjWCmBRGmCz8vHcU0BAVMOv84QFyYC1XHWOW4GIPr7vZ/lMIH8zMOKfQJ9bmnZOjcHaq4DMn4BhTwH9bm/945efBn4cBthtwMy1QPSQ1j8HHe0f+VuBNZcDNYV8HBANTPoUOLsMOPQvwG7nNW/Mm0DitFY7rZKSEqSlpSE8PLzZ9tnixCUpKQnZ2dkO67KzsxEREaEZbQGAwMBABAYGuqyPiIjQiUtnQXUBsPN3QEAFkDYdiOoLFCrEBYXA0PuB/c9yeesc4Px13u23rhqoOwGEAEAGEAzA0sBvqvggkPkuXzP1a2DNfJImAKjaDnjzmzyyTjkmgLpjgKkICO3qfvv05XJ7AChZDqSO5LLNChR+z+cH/M6742dtBoKs8nHVTiDu0oZf5w5H3gECyoEAALFjgPwtQOZ7QOpbvu9rwDXA9s1AwXdAxN8af06Ngd0OVG7lZ9n9XO8+y+bG0f8AwTYgaQbQbVLrH19H+4bNBmy9DTj6Fkd0M4C0y4FJnwFGM9DrAqDfZcCGa4GyY8CWOUDfO4DhzwLmkIb23mxoTplHi/u4TJgwAcuXL3dYt2zZMkyYMKGlD62jvcJmBdZdBZQdB0K7A92v4YwBALpcAMAOHHkD6PZbrstbD+x80Lt9lxwC7HXycbEXEZcd95KoJM8GUi/hzFggbxNgq214H1m/8N5ocXzsDme+5X30CN5nfCufy/kVqM4FAmOBxHMbPjYAZK/y/NhX7H2S92G9geHPc/nEh0BVnu/76no573PXARVnmnZevqLsOD9LYwAQM7J1jw0ANcXA0Xe53P8ez9vq0OGM4kPAt11JWgDAHApM+xGY8hVJi0D8ROCiXUCfW/n48KvAkpGccLRD+ExcysrKsHPnTuzcuRMAy5137tyJ06dPA2Ca59prr63f/pZbbsHx48fxt7/9DQcPHsSbb76JL7/8EnfffXfzvAMdHQ+7HgSylgGmEGDki8C2O7h+wN+Ac74DEqYyVVS4FYhSwur7nwUyvSixL97n+bEzMn8CMn8k4Rj5IlC4G4CKuNiqgcJdnvdReRYo3gvAAPS6ieuylrnfviKTqRMAGPtv3ueuByqVyOXpL3mfOl8SoYaQvZL3SefzPmeld6/T3NdqoDKDy8P/we8jeiRQVwUcfdv3/YWkAPGTuXz668afV2OQt5730SMBU1DrHhsAjr0PWEuByIEKKdehw0vsfhRYPFD+FxOnA/PzgOQLtbc3hzJNNG0JEJzMSdzPE4Ddj3k3+WpD8Jm4bN26FSNGjMCIEZwJ3nPPPRgxYgQeffRRAMDZs2frSQwA9OjRA4sXL8ayZcswbNgwvPjii3jvvfcwa9asZnoLOjoUTn4GHFBm8GPeIImxlgOJ5wHDnuZAPfkrICSVf7zgVMCk5E5XzwGqcjzv35moFHkgLrZaYLsyC+57BxDRFzj5Pz42qjQ1Jz72fEwRXYkZCXS7Sq5TR27UyPiO97HjmYaJGQXADmT+wGhU+jd8vtuVno8rYC2XRGjI47wv3MV0XGOw/U7eB8QCXS8DDAZgwL1cd/h1Ehhf0VV5L4KUtRbyNvA+zg8RYJsVOPQKl/vdzc9Rh46GUJEJfN8f2Pt3ADbAGAhM+ASY/gtg9oJ8J88CLtoDdLua0ee9TwJLx3sXfW4j8Jm4TJs2DXa73eUm3HA//PBDrFq1yuU1O3bsQHV1NY4dO4Y//OEPzXDqOjocCnYAm27g8oD7gIzvSU5CUmW+FgCCEoCpizhDPvsT0P0qAEZGP5aMZc7XHQRxEZEaTxGXw28CJQeBwHhg8CNcJyIXYb2AmDFcPvFfwFanvQ9AEpekmUDceMAcBlTnuY/UiDRR6hzep8yR67NXAtX5QGAckDDN/THVyF3PVFdIVx4/YgAAO5C7xrvXq1F2CijcyeX+qqhp1yv4PVVlk3z6irTLABhIJMpPN7h5s0EQl3g/EJf0b4CK0/x99fhd6x9fR/vDodeAb7sBpYf4OGYUMD8L6PFb3/YTGEPh7qTPKeIt3A78NBI4+C/3E6o2BL1XkY62gapcYPVcoK6SIfOAKCB9ASMbk78mWVEjZhQw9h0uH3sX6KUQnopTwNrL3R9HEBUxw3dHXKrygD2Pc3nYU0BAJJdLlAtG/CRg4H1cri1ihY8W7HaZFkqayYiRIBxaOpfaEiB7BZcFcRH3WcuAk59yOe0yxxy2JwiylTiNs3pRUZDdiHTR1j/x3hgIDHxArjdaGJUCgIMv8X37gpBkIGEKl1srXVRbBhTt5nJrR1zsduDAi1zu+2f/pKl0tB/UFAFLxjBtbrcCBhMw8mVW8jWlOrDbb4CL9gJdLuTEb/s9wPLpQPmpZjrxloFOXHT4H7ZaYO2VnH2G9QZ63wLsfojPjXoViBun/boev2eIHQBOfcocLwCcWQgc0igRrquiqh6g6h5gfrimyHXbPY+RkEQNA3oqpKimDLCWyNd3mSm33/kAhZbOKN5PjYspiAI5gNUjgLbOJXMJy63D+wAR/bkuaghFynVVQLoyqHe9wvW17pCzivdCyCvufRXoWiuAs4qOqNvVgLOZVO+bGE0q3utZw+MOacp7aq10Uf5mzi5D0hgtak3krgMKtvB30edPrXtsHe0LJz8DFiQBBVv5OLwvMOck0P/O5tl/SDIwbTEw5m3qYHJWAYuHAMc/9H0C0krQiYsO/2P7X/hnMYfxz7P5Rg4oPf8A9P6j59eOeI6ExVoOlJ2g5gUAtt0pUxoCJQe534BoIKIfEJzC9c653aI9UmQ66hXAaOJy+lfKBgZGTywRQORgrqrJV3LOThADePxUOasWhCd3jasepD5NNFdqHgwGPgYAaxlTCwnnuP9M1Kgtk5UDItIjXlu0i2knb7Hjr0pFlhEY9bLr8wFRMvIlogm+oKuSLsrf1DozPn/qWw4qn0+Pa4Gg+NY/vo62D2sVsOJ8YP01jIbAAAx6ELjkUPMTbYMB6HMzcOEuRpOtpcDG64E18xrWDfoBOnHR4V8c/5CleQAw7gNg94PUf0SPAEa/2bBg0WgGJn/BiET5cSC8N2AIAGADlk1llEBACHEjB3K/kYP4WJ0ustuBbXeT4KRdBiSqCELG97wPjJfRhniV78bhV4GSI47nJ9JB6uhMxACq+uuqOPMWsNUCmYpXjUgPCagfp83zPk2Uu46h5dDuQFh3rgtK4GcAADmrvduPzQYc/w+XE6bJ1Jkz+t0JGIxA1s9A0V7tbdwhuAsrlIDWSRf5i7iUHpUEtd/dnrfV0TmRuQxYEC8nPkFdgIv3sUChJRHeC5j+K6sFjRb+ThcPBtIXtuxxfYROXHT4D3mbgc2KU+rgx6jtyN/MiMiUbwCztkGhCwJjFbFuCCM39dGJUmCZilgIgiIIixZxyfgOyF5ODceI5x2PI0K10cPkOjHoBUSTeOy4Vz5XVyPTNCI9BJA0aaWLcn4FaotJjGJVrrkAEDsOgELiwge4fARuUZ8mmua4PkGki7zUuRx+jfojgNVe7hDWg2XaALUuvqK1qovsdhVxmdiyx3LGwZcB2IHki4HI/q17bB1tGzYbnZxXnc/oKgD0vhmYewaI9OF/3xQYTdTvzdoKRA2lz9Ga+cCGP2inw/0Anbjo8A8qs/hnsFUDKZfSRfbo2wAMwMRPOQD6guhhwHglIpD+pYxQFO4Etig27s7EJcqJuNRVA9sV4jHgXtdzqMzkvdpvQxCX2jLAYGZU5uzPXJe/kSmswHheANRIUiIwZ1XEpT5NdKlMTwnk/ApAyTeXn9T4ANxAEBPnCiRBZASxaQj7/8H7iAEND7bCSO3k//g9+4K0+YzY5G8Gyk769lpfUHoYqClg+i56eMsdxxnVBTJypRvO6VAjfwujLKe/4OOAaOD8DcDYt131ZK2B6KHArM3AwPv5nzzxEfDjECBrReufixN04qKj9VFXw8qfygwKUAfcC2xRBIpDngCSG2nE1e1K/skAkocoJTJy5HXg9DcNR1wOvULxbnAXx4oZgH1AhONu92vk+vA+jPjYa6Xgd/vd9OioL4OewT++GiLiUriDFUx2uyQuKU5pIsAxApH5vXeiudpSGSVyibgIncueht1uM5cCVQoBGemFdiV+AgmdrQY47CE6o4XgJHlup7/yvG1TIKItMaMAkw99rpqKo/8G6ipIlrx1PdbRsWGzAVv+DCwdRzINME09P4f2Bf6EKZCtAWasBsJ6AhXpwIrpwLa7AGul305LJy46Wh/b7qT2whIBjP8Q2HAdIy/Js4HBDzVt30OfYkSkrpLVQpZorl93tawoqicuis6j8izLnPc+xcfDngUsYY77PaV4k5iCObgKGAxArBJ1iRpCElO8HzjytoymJM2EC4KTFC8ZO1NkhTt5UTCFOKaVABI9kWM2WGhT35DjLwDkriXZCu0BhHZzfC4oXgqLc371vB+R/gpMcO/K6QwRTTj6lqPOyBu0RrrIH/qWuhqm3AB+PrrhnI6SI8B33YAjbwKwA6ZQ4JzFwJSvvdextQbiJ1G42/tmPj70il9bBujERUfr4ug7MiU04b8sOy4/SUO3if91jUz4CqOJxkphvenpEtEPgJEREQAwRwFBiVy2RLAUFmCKyFpKU7kev3fdb7YyuIf1cn1OmJcV7QKGKpVFex5ldQzgSkQEElU6lzOLuNzlfFdtT9YvLM0OSpIkSGzvCaLc2d3MXqz3lC4qOSJJkohmeYPUeSRM1fkNOws7Q6SLCraSpLUE/KFvOfU5SXJwMtD1N613XB1tE7sfB37oL/tzJZwLXJYHpFzkz7NyD0sY01bTfmRUuuSg0jLg8VZvGaATFx2th9x17GIK0NStYBt9QUzBFOM2xUhJjYBoinXNYdSZOAhj4TjTFdGXzB95P+oVbfIknCpFTx01xKw9bz17EUUOVlrL20mcQtO0z1NUGmUtcyyDdoaIPHS9nBVFgNzeE9TGc1rwxohOpPBMwawY8hZGk9zeVzfOoAQpHm6JdFFNsax4aq2Ii90uxcp9b2/d9JSOtoWKTOD7AcDeJ0DL/gBg/MfAjBXeWfb7G8kX0rSu62+UlgFPkMAUH2i1U9CJi47WQUUGsOYyMvO0y4HIIbLD8Nh3HCt1mgNRgxjRAViaKzxbaouAfc/K7SKUdBHsQLdrtK3fa0qkwl/L+C1mDMlOxRlqQdQeJ9Gj3J9jwlSWHJafYrTGYGSliRp11TK60vUKIOUSAAZGIzx1Uq4tAQq3KceZpr1NvFJ6XLxP26uhRuXi2+M63wWCvf4PsERSCJux2LfXis/5VAuki/I3A7CzRFyd9mtJZK/gd2wKoV+Gjs6JQ68rlv0H+Th6JDD3LNBTI8rblhEYA0z+HJj4GSeKBduYOjr4Squ0DNCJi46WR10VK4iqsqnrGPwwsEH5o/a9reX6tKTNZZk1wBC9wK6HgJy1yrkJ/YWR3gVaOPW5smDQJgGWMCkEztsAJE2nAyUAlOx3L6Q1hzqmKuInA0Fxjttk/cIS6eAuQNwkIDhRCvbOfKe9X4Dvz25jastdxCcoTlY7aelctt8DdsI2AiNecH8sd7CEy5y4r6XRIl1UuB0oPeb7sT3BH/oW8f57/R8v9Do6F2pK2Edt2+0qy/6XgAu3AUEx/j67xqP7VWzY2GUWr/Pb7wJWzGhxA0mduOhoWdjtwJZbpT/LxM+ADddyMI6bCIxohMOqLxjyKMutocwCDIEA7MDKWSQzIpphDnE/wAtTuKBE91EHMQjmbuCf1lrOx4U75eu1oBbueqomSrtclkiLUm9P6aKcBtJEAoKIOdv/22yyE3aXWYAl1PN+3KHf7SwTz1kFFGz3/nVB8ewIDjR/uqi19S3FB5RUpAHod1frHFNH28GpL4AFCWzxAABhfRTL/g5iPhiSAkz7CRjzFiOK2StbvGWATlx0tCwOv8EfsMEITPycfiBFu0kCJn/V8rl+gxEY+2/5OFwR19ZV8M8lynytZfTY0EKBknLx5Peh1rmIMujgZN5vv4cVJVqIHSuXPaaJrpTrhQ4mZ6V7QyhBRIRWxB3cCXQPPAfYlHYEngznGkJIKhu5Ab5HXVqiushua/2O0Af/xfvUufL3p6Pjw1oFrJgFrLtKWvYPfAC49HDr98ZqaRgMQJ9bgIt28VpY3zJgPlDZ/C0DdOKio+WQvYqhQwAY/hxQdgQ4+QnDpJO+YHOv1kBlhrJgYOpGuNLWKH16ApX0jFaJsc0m00zJHtT+grgUbmejRADo/nsStNIjwGGNpo+AYwqrtsjxubM/U6sSnCwbNAIU/Eb0o17o7BLXfdYU8zwAx5YFWkiYCsCgNIPMlusPKqmhqGG+mwE6Q5RGn/rCsy7HGanz+Fsp3OHaSqGxKDnIaJ8p2NUUsCVQlSOrqgbc63lbHR0HWcsVy37FjDKoC1Mqw5/x73m1NMJ70/Nl2DNKy4BFwOKBDb7MV+jERUfLoPwUsPYKqs67XUOysO0uPjf8uYYH1OZEfY+iQWATv42AWdVrJ1ARaGoRl/xNqE8zdbva/THCerIaxlYrbfxTZvMPDFB5ryWAzVDpVJw7KtdXE13hWukk0kpaZdG5axR9S++GZ3aBMa46l/SFsvmiVjNFXxEzkikpuxU49Jr3rwuKkx2/05spXSSiLbFjeGFtaRx5i7Pt2LGt31pAR+vDZqNn1IoZUtDf6yZa9gun7o4OoxkY9ACQehkft0CptE5cdDQ/rBXA6nmyWeLQvwPrruTA1fXK1s/tCkKSMJVl2ABgVaVYSvY5bqeGEOaaQlyFs2oYDCr7/2LAHA7EjWOH6+iRjJzsfsTxNXVVjhETNXGpq5IaFnWaSECkizJ/dE1DNeTf4gyxnSiL3nkf74OTG9bIeIt6Q7p/09HXW3RT3ntzVRe1pr7FWimdg/vfqxvOdXTkbwUWJshrRkA0MHM9MO4d/1j2+wvlp4BvewGnlc/BGNjsh+hEn6aOVoHdDmy6ieH9wHjqWDZdzz4/kQOBce+3/gVcbfU/4D4gQFHxG4MAmFHfA6hwj+trRRQivHfDx1FXqSRO44zeYJRRi2PvAYW75DZZKyjiFYZ4eRvY8wigv421lBETLdvvuHF8XW2Ja0VQQ/4tzlD3LSrcy9QWAAx+1LvXe4OUi4HwviR1olePN0idS3Fv0S66GzcVuet53xoVRSf/xwZ1od1YJaWj42LL7cDSsTJSmTaflv2tpaNqK9j/PPBdL6BcMY6MnQBcerTZD6MTFx3Ni4MvAac+pTZh8le0ss5ZzQjElAWuVvqtATVxOfWp0g/ESPFpuEq/kbfO9bWlyp9OeJ54ggNxmS6XE6YoZk02psuE0l6keVLn0VPEVsvPCpARhjSNNBHAdSmXKPtRVRfVFJE0Au79W5whdC4lB4HNN3KdOQzo/UfvXu8NDEYZaTv4MmCr8+51gbHSQLCp1UU1hUCJYpLV0j1g7DYpRu53Z9uyb9fRfCg5Aizqyn5osDMyO/V7Gmp2pu+8Kh/4cQSw82+UBxjMwJg3gVnrgYCIZj+cTlx0NB/OLuMPFwBGvkzfFnHxnvCRYr/fyqgtk92UQ7sBOxXb+v73MpRbegQIV7od263AVpU7bFUBUKeUNXf3wqI9QpXDjnTKZ494jp2Ic1YB6Qs4sGV8z+dS58qy6KxlTDEI7YuW4Z2AKIvO+FaSoZzVAOyMbngrfg6IlhVTok1B75uaPzLW41oSkfITwJmF3r9OfAZNrS7KU95bWG/qkVoSZ5eSJFkigF43tOyxdPgHe55ULPvT+ThhGnBZLpA626+n1eo4/hGwKBko2snHEQOBuelAn1tb7JA6cdHRPCg7DqxTogo9r+efeNP/8bmB90mr+taGmGEHJQDH3mfKKrQHMOxJVjYZjIqLpeKRcvhVdkMGZI4WRiDWC01E0Q65XJ3r+FxoV2DAX7m84y9AzhqWYlsiqDFR2/+fXUphX0gaU0LukKgY3VWckVVEvupbBNTRGYMJGNoC1Q/mEKC3cjHzpTS6Pl20p2m24q1pPHdA8SfqdRO/Yx0dB5VZwA8D2Wet3rL/I2DGSv7GOwusFcCyc4CNf2AneBiBIX8HZu9rcUdqnbjoaDpqy4DVcxmKjx1LB9q1l1G/kTidHZv9BZEmCu0pS3xHvsDoR5eZrHACUF85BACr5/DilPEDHwcneSeuO6sS14pBUo2B97H1QPlJ5aIHoMuF9LJJPA8sS94HnPiIz2lVE6lhDqY5HCDTRcJ4zts0kUD8FLmccknL9Uzp+2de6PM20KzPGwTGyIhUU9JFeYq+paV1B4W7gOzlJID97mjZY+loXRx5C1iUJidE0SMUy/5r/XterY0z3wPfxAO5Smo7pCtwyWFgyMOtcniduOhoGux2Gg0V7VFM5b4BNt/C/jQhacCkz/yb6xXEpTqPlTqJ51JTItD/HpZrC4EuwPLVpWOlViR6hHfHymqAuJhDgeH/5LLQsoh0T2Asy4YBIPMn3mtVEzlDXRZdXSDFv76Wm6vPd+Aj7rdrKoKTgO6/5bIvURdRXdRY4mKrk6milo64iPfV9QpG2nS0f9SUAEvHs+mosOwf8QJw4fb2bdnvK2xWTlJXX6q0SzGwaejcU61qrqgTFx1Nw/5ngfSvWUEzZQFw6n/ULxgDgMlf07rdnxAeLmVHGb0Y+bKjdsNgAMa9C4R042NRuleRLl11hQjWE6pyJdEBaPVvrXTdrvs1QNRwkCgZHE3tRFTBVs0ZjNpV1x1SLuZFtGgPcPpr7jeiP3sb+YJj78rlsoO+vdZXiNLoMwuAshPevSZ1Dn9jxXtplucrSvazSsscxu7dLYWKTODUZ1wW71NH+8apL4EFiVL/FdYbuPR45zMUzF3HKIuI7gbGAbO2AqNfbfVT0YmLjsYjYzGwSwkNjn4DqKsEdj2oPH4NiPNi4G1pFO2Vy71uAqI13FLNIcAYxdnWVs1IkRrdvBDmii7KkUNIGuxWdnB2hsHAZooAADsjUwLqvkVdr/BOHBsYK9M8oreQr2mik585uvY69y1qbkQNBpLOpx7q0CvevSYgmq8BGhd1EWXQsWNbNgJ4+HVWh8VPocmdjvYLaw2w4gJq92xVAAzAgPuBS490rkiazQZsvBFYNlleJ7pdDczLBmJH+uWUdOKio3EoOQSsV1IsvW+h1mLdVVKc2+smf58hjc4qFcW/JYJGeO4gGvoBjLYYVKZJpccbPpZIE3WZ6di3SAtCSAs4lkereyHFjG74mAIi3VSo9FTyVZi76yHeByqVNs59i1oCYrZ67H2WcHuDpvQuag1hrrUcOPo2l/VoS/tG1gpgQRyQpQj1g5Jo2T/iWf+eV2ujaB+wKAU4/j4fm8OB834BJn3qV1M9nbjo8B21Jcxz1pYA8ZMocF1zueKUO5LRl7bgEpq/RS4Pedxz2socQtt+AXu1XF4+Dagpc/9au10Kc5NmSldWLZ1LZbZcbwomuRFOmyJqAzj2MGoIgriIjtQJPuhb8rewPBkAhj6pVFkdASoyPL+uqUiayZSNtQw4+m7D2wNA6qVMQRbvlylAb9EaxOX4hxSoh/X2Lr2oo+3BZgPWXQOsmM7UIgD0vAGYm9F5LPsFdj4A/KhqRNvlAmB+HpA03fPrWgE6cdHhG+w2YP3vaVYWnEIdy86/sGV7QAyNl8zB/j5L4sDzvDeFAH3+3PD2wntFNGEUsJYCv0xy/7rSo0DFaQ6qCVNUEZcNrm3dM38AYAdiRgGDlEjHzr+xtFAdScj+peHzFQjrQY8agM3cghO9f+3W23hviQT63EziCbR8ushgkFGJw696188kIEpWUfkSdanKkym5ljKes9XRWA8A+t8FGE0tcxwdLYf87cDCRKlRskQBM9cC49/rZJb9p4HvegP7/wHATofxSV8A5/4EmAP8fXYAdOKiw1fseZLmaMZAYOpC9so5+g4AAzDxUyCsu7/PkCg9yu7KANNAJi/+cIK4hKoiL5Yo3hftBjb/Sft1Ik0UN5GVQzEjKSStyqG/jRpC2JYyhwN3aDf6sOx9SpZfA7Txd+5B5AmBClkx+UAaK7OA/M1c7qsQO5FmEmXVLYnu17ASreKM97oVtRmdMyl0h/yNvI/oR01QSyDjewrAA6LZn0pH+8LWO4Gloxk1BugddFkuI8qdCQdeBL7rCZQd4+PYccD8bFnV10agExcd3iN9EbscA8DYt1nNskUZzIc+CSTP8tupuWDHX1DvzZJ8sXevEcRFDHQAxWgBSnPFo28Bp752fZ1a3wLQI0ZELtTpImu53DZ1DiNTI5So0MEXKW4O7cHjWcsdz6Mh1BTwvjJDu5pJC1sVsmKwAEOU71UIe1s64gIApkCgrxLxOfCid0QkRUkXlRxkhZE3aI000UHFcK73LSSvOtoHSo8Bi7ox6ldv2f8tJ2WdyrK/APhpBK+bwrJ/9BvArI0tYtnfVOjERYd3KN4PbPg9l/vewRz+mvmswkm5BBj0oH/PT42sXxz790R5Wf4qiIuw8A5MYOSkJo8XNABYfzVQdkq+xmaV2hR1VZCWzuXsz/SSCe0BRA3hurTLWYFiU6Ir3a6UBEhtaOcJVXmc7QP8PrKXN/waaw1wRrQVuExepBMmk5CWHQPK0707flPQ+xZGiQq3S28bTwiIZK4d8L5jdEsTl7zNQO5a/lYEEdPR9rHnKeD7vkzzAkD8OYpl/6X+Pa/WxvGPgUVdaOEAABEDaNnf102EuQ1AJy46GkZNIfDrHAopE8+lidr637J9eVgvYMLHnh1eWxM2Kyt11PBWVBfRn+/Drugt4icCo5Uy6bpKAEaWOf88jscBWPJcW6L0+1GVBsardC4CgkylzpHiZYMBGKaqVAjvq+pb5KXORXSHFl2v1aTNHXY/xPcCAzDqNbneEkH9DdA61UVBcUCP67gsohYNQVQXpX/VcJTGZpXpMEEmmxvCcK7b1d73h9LhP1TlAD8MAvY8AmnZ/yEwc1Xns+z/ZRqw8TqVZf8TwOz9LW7Z31S0kdFGR5uFrY4q+7Kj1GNM+gLY9zT76ZiCaToXEOXvs5Q4+g7dckV/mOAuJBXewBwMBHeXj5Nns0Ny75vBMLJig1+VDaxUZv0iKpJ4nqMgU8zui3axJYLNqmqqOMfxuJVn5PLhN2RpdsFm70qFBcEQ/jAZ3zXcffnov5XznEjyoEZrposA2TU643ug5LDnbQEg9RJqrEoO0XjPE4r2MO1miQAiBzb9XJ1RfooGjIBeAt0ecOTfwMIUGhICNIOcmwn0vM6vp9XqyFhMMzkx6QlJA2YfBIY86t/z8hI6cdHhGbsfBs4uUUjKQiBvI7BP6T009l1tQzd/oaYQ2KP88ZKVDq3OXZobgroip6tiPDfqVYr06ipYfQMwHbP3aalZUaeJACAklTe7jRVXueuoQwmIURnQKRAVMoYAJWWykkJSuw3I9kIkK7bpdjUH6Koc6fKphaPvyVLPMW+4Pi8Eut4cuzkQ0VeWDx/8V8PbWyKA5Au53FB1kYh4xY5rmajgoVepCUicDkQPa/7962ge1JQASycAW26Rlv3Dnwcu2gEEtZBguy3CZgVWzwd+ne1k2X8aiOjj77PzGjpx0eEep75USuIAjHsfsISrdC63Az1+679z08KeJ4DqfJKVQMWzxVfiYlOErQYLEBDGZZPSviA4Bagtpm08AOx+RDqydpnpui+1zqW+mmi2o+ivtpSVWQDQR8kp73xAerFkNaBzqcqR/ZiSZkghsqd0kRBYh/XWHmzjJ/HCXn6CEYXWQH/FkO7ER9TsNAS1GZ2ndFFL6ltqS6QHTWezf29POPW1YtmviN3DetKyf+Bf/HterY3cDcCCeLZkAYCAWGDWZr9Y9jcVOnHRoY3CXWyeCAAD/krB2pr5HLjjJrLBWFtC8QHarQPAqJdl91ZfiUtVLu9NgY7rg5OUSoNAan0MFrDfUB37CqnN6wTEYJm7AchQ6VvUyPiBgt3wPsDwZ0kmqrJIwICGdS5C0Bo1hCkfsf8MN8QlezXLjwF28daCJRyIUezqWytdlDCVGqG6Suk+6wkps5m6Kz3CdJw71BOXFtC3iMhVxADpL6Oj7cBaA6y8CFh3hcqy/6/Apcc6n2X/pj8CyybK1HO3q4D5OUCsDw7dbQg6cdHhiup8OuPWVbA/zNBn+MOv7wD9lXe+KK2J7fcwZJ9yKSMPIgrhK3GpVoiLrdZ1Jh87hmXggBTwArwY2Gyu+6onLmvp52IMlP12BESqo+uVgDkIGKkIVDN+AKC42HqKeoh0jtClJF/I6paSQ0CxRrPE7XfxPiCG1UTukKjsrzUEugBFyiJqcfh1oK7a8/aWcKCLki5yV11UlSP9KOLGNc95Ctisss9S/3vajjhdByEs+88qndaDEoELdwMjnvPvebU2ivcDi1JlE1VzGDDtZ2DSZ+3aVK/9nrmOloHNCqz9DVB+klGESZ8p/iWfMn0w+cu2VzmR8SN1OEYLI0E1RfQzAXwTZFZkyrJkW7W0ulaj5x9YDg4AUCqDrCXAxmtdt40eQbIiGpMlzQQsYfL52hIgU7mwCmO1lEtIvGzVUvTsqSxaEAuhS7FEAAnKsnPUpeyU7GDdrwEhaWsLdAF+BiGpFD+f/NSL7RtIF4loS+TA5heQp3/DMtrAeKDH75p33zoaD5sNWP87J8v+6ynAjW7BruBtETsfBBYPBqqU9iFJ5wPzc4FkjbR2O4NOXHQ4YsffKDw1h9KIqeQAoxkASUHCVP+enzPqaoAdyvn1u5MCs2KlYiA4xbcBS3RXFhBRG2eMfEGJpqgGy5P/A479x3E7U4BjKFYrTWSrZgl0lCJyNhiAkf/iDF6YyrlLF1Vmy/eq/l7S5vLeWeciDOeMgcCgB7T3KRA/iSZU5SeBspOet20uGC2SFB58qeFSZ5EuKjsmCZkaLaVvsdtpmAfQcVhUm+nwLwp3AguT5P/YEgnMWAOM/6BdRxd8Rnk68F0fYP+zoGV/IDDpc+C8pYzqdgB0om9TR4M48V/gkFLVMeFjIDAOWHsFVfhdf0Ni0NZw5A2mRYISgEEPc119msjH8tezSidYYZvvrpGf0QJ0u0b1WNHDbL6JWhs1IlWzPOfGe+o0kbopZdRgGrMJZP3CCiNniFLGqKGOVvYpioFW3kba+gP0bDi7hMvdrm74Qm4JY2oMaL10EQD0vonh7OK9DQuTLWFSjKxVXdRS+pbcdawUMwZKQbUO/2Lb3cBPI2WqN2UOcFkeDRU7Ew7+C/iuhzSkjB1LLUu33/j3vJoZOnHRQeRvBTbdxOVBD3OQXXsluxRHDgLGvdc2Oj6rUZXLSiIAGPo0XVWBxutbinbzPqSb4360IMqNDWZGTWCkxmbZJMBaJbcThMMU4lhqrU4TafUBGfqk9J+pyZeulmo4p4kEQlKAmNEA7NI7Zsd9PD8YgFFelByr99taZdEAI2S9buCyMHbzhPp0kZMZna1Wdgdv7oiLOK8e13ruOK6j5VF6DFjUHTj0Mui1FMxI8TmLOpdlf3Uh8NMoqfUzmGksOWtTm7Tsbyp04qKDKYc18zgAJ88Ghj7BgS53DWAOp8mcWpvRVrD7UVY5RQ9nHlugMcTFZpUN1sSA7Y642O0yfTPwPrED3tUUAstVREIYqtVVkqwInPmOepqI/o5RGYHAWGDI447bO8NZmKtG6lzldd8y73/8A7mtt+kztc7F24aGzYF+dzJVdnYpUNRAP6KUizlYlR2nB45A4S5+5pYoeuI0F0qPAmcWcVkY5+nwD/Y9q1j2K+L1+CmMsnQ2y/4TnzBFJn7/Ef2BOaeAfh23/YROXDo7bLVMB1Wc4QV+4ies0lCnjCL6+vcctVC4Gzj2DpdHveLoWtsY4nL2Z9RrVoQFffE+7QG7eB+Fu6ZgYPAjLLEEOMsB6Bex4z6gphjIV3xeYJfW84D7NJEafW5lNQQAHHfSz1RmsdEgDNq6I6GnyfpFaeBYwcdahnPuED+RabGK0/R0aS2E9QBS53O5IUM6cyi1LoBjdVF9mmh881b8HHoFgB1IvgiIHNB8+9XhPapygMVDgF0PArDRmmDc+8DM1Z3Msr8S+OU8emsJy/7BjwOzD7S9Aopmhk5cOju23a2KrCwigdmkhOoHPiCFnm0JdjvLeu02VqKoB+6aQqa3AN80LsK23RIJxAxnBVVtMVCZ6bqt0F4kTKXfy7Bnqdi3W9n3BAAOPMcZoa2Wny1APxeAVU9CT9NVI00kYLQAQ57kcsVpkjUBUe0TPQwIjHF9beQgVoXZqoF9z3BdxADfBltzKHPk6uO1FoR9/slPpE7HHbSqi1pC31JdABxTIlf9dcM5v+DIO8DCVNkZPGoYMC8T6PV//j2v1kbGT4plvxJ1DUmlZf/Qx/x7Xq0Enbh0Zhx7n+JWAJj4P/b1WTNf8W+ZAQz9u3/Pzx3OLGKaxBgIDHfyZRCC2pBUqXnxBsIBN6I/yUh4bz7WSheJNJGw+TeaWDYe1pMzHxF5OfA878Xgn6ccQ6SJIgc23ACy900q8e8f5Xqhb0k41+UlABjFSVGiLqIcuzGmgf4oiwbYpDJuAj+nww1EiZIvooao/CSbXgLys45vRn3L0Xf434ga5qor0tGyqCkDfp4EbLmZHkoGE5u9XrTTtddWR4bNCqy5HPj1IqCuHICBAvFLT7Ury/6mQicunRV5G4EtSkXEkCepFdj4B6D0MBtuTfzUMf3SVlBXDexQrLoH/AUI6+74vGie5qswt/wk70WDQ/F6Z+JSVyOreZJmyPWBMcDURYxS2JXO0UL30vUq3udtZJRInSZqCAYDB2aAguBMJVJTL8yd5v616mhZYDyQclHDx3OGGKBzVrauzgWQUZejb7Eqyh3MITJddPpLRtzKTwEwSNLYVNTVAIeVLtoD7m17QvWOjNPf0KpekNHQnsAlx4CBf/PvebU28jYCCxLoIQTQRHLWJqZ/O1O5N3Ti0jlRkcnIiq0GSJ0HDH4I2P8cIxnGAGDKN223WuLQyxRiBncBBt7v+nxRI/Qt5aeVyiAA3X/r+Hpn4pK3gd2GgxJos69G1BBg/Eeu+8/4lnqY2iJWumT9zPXCdK4hpKkcbrffTSO5kkOgvmWK+9cFqL7Drpd7dyxnxE1QdC5n+Lm3JlLnAaE96OR84mPP2woSeOpLGT2LGiK7hDcVp79g2jA4WTbf1NGysNYAqy4G1l4uLfv7/wWYcwwI6+bvs2s92GzA5luAnycwFQ7wNzg/V1oWdDLoxKWzoa4aWHOZLHOe8BGQvQLY/RCfH/162/0zVGYBe5XO1MP/qV3p1BhhrjCsMphl6qaeuOx33FboWxJnaIs+u14GDHrIcV3mDxzwAKYbbLXcv7caHHVkp+QAsEfJY0ePkCXTWth2h+pBI0tDzSFA7Hgut2ZZNMCIX/+7uHzwX9peNgLJFzLaVXFaNpFrrjJoB8O529teu4uOiOxVjLKIBqSBCcCFO4GRz/vzrFofxQeAb9OAo//mY3MYMG0JMPnzThdlUaPzvvPOCLud7qn5G1kmOnURGfy6qzgo9LqBmoq2il0PssFh7FgZGXFGY4iLSL+EpMl16oiLOkUi9C1a3aAFhjwBGIVDpfIXEz1z6qMtXqSJBIITpbMuAJz6nPee0kQ1JSSkApnfNz7V09p9i9ToeT0F06WHgYzF7rczh0iDvyzlfTcXccleyUaOphCg9x8b3l5H42GzAeuvo6WAVbEP6PEHYN5ZIHqox5d2OOx6CFg8SBYIJM1ULPv1hp46celMOPo2BbkGIy2gQ1IZfanOB2JGMdrSVlGwDTj+IZdHvaId7agukP2FfKkoEhUKaj1EeF9GYGpLZN+jmkI6pgKOURBnFO2UoW3YUN/TCJCdmb1NEwmI4wXEyLSWJ4Ho9nuUYxsp7i0/ySaZjUG9QNcPOhdLOND7Zi43ZEgnyKDozdJcxOWgEm3p9X/aFVw6mgeFO4GFXYCTSlrQEglM/xWY8J/OFV2oOEN/mn3PoN6yf+KnwHk/dxjL/qaiE/0aOjly1gBbldTBsGfJ2rfewSqMgBhg8tdtt+eK3Q5suxOAnZGWuPHa24loS0hXDnjewGalMy0ApM2T600BQLii0he6meyVjExF9Cfpc4f0RbxPmqGUQjsN9pEDffcAERVM6r9sQKzmprDZZPqry/m8Aa69i7xF3ARqnyozacDW2uh3O0lkziqgYLv77bpcwKgIQG1LeDNUWRQfUNIVhrbZ8qKjYPs9imV/Dh8nz6aZXGIb643W0jj4CvBtd3aFB+iAPT8L6H61X0+rrUEnLp0B5ekUuImeQwP+ysjLsXcBGJRS3u7+Pkv3OP0l+8OYQoDh/3C/XWPSROr0gygfFnAW6DqXQbvdp0IQuv+OZebOsFld1zWEhKkkDzV5ct2ex7QjIAeeUyI+AMa8Kc3ohOOrrzAHS7Loj3RRSKrsteIp6mIOJqkESOqao/JHGOClzpUl8jqaD2UngG97KJ+zYtk/ZQEw7fvOZdlfUwQsGa34UwnL/leBC7Y0f2fzDgCduHR0WCtp51+VQ/+J8e8z7bJF6RQ89O9yRt4WYa0AdijOtAPv9xzpEASjIW8UNURpoSXKNQzrTFzOKsJcT2mishNMyRhMLDFPvUSayAmUHnZ0efUG5hB2bBYwmCgUzvjBdVuR2ogaShfalEsAGGgJXp7u23EFhF9Mawt0BURp9KkvZLpNCyJqWFPgWczrDapyZTWTOL6O5sO+fwDf9ZZWBHGTgXk5jpHPzoAT/wMWJPG6DADh/RTL/tv9e15tGDpx6ciw24Ett/APERhLMa61kroWWzW7CA96wN9n6RkHXgAq0pn+GfAXz9s2JuKSt1F5jYYmJkpFXMpOsuOqweRZFCvSMfFTZMfmwQ+xAkiN9b8lyfEFasKUqlzct99DjxGB9G9lz6VRL/M+KIH2/QCQodHzyBuoBbqtrXMBgJiR1NrYrcCh19xvV670raktlt9tY3HkTf5PYsc6kkYdTUNVDrB4KLDrAdRb9o99Fzh/DRDQBnuitRSsVcDyGcCG38lGrYMfAS452OEt+5sKnbh0ZBx6hTNGgwmY9CWrZtZfw5LRsN4shW7OPi7NjYozwP5/cnnEc0wFeEJjiIto0KaV/olQyEzxfqWXEZgy8eQNItIxqaq0k8HoWrZstwJLx/uWNopUVVWMeAEISiKZOvyqXL9TMeUKTnYU76Y0MV0UN54iwcqzjBj5A/WGdP8Gaktdny9PV4TUSorotI9RLTXqqqRjb/97dMO55sLR9xTLfkUoHjUEmJcB9L7Rv+fV2sj8CVgQB2Qv5+PgFODi/ewKr6NBtOFRS0eTkLVcOsyOeBFIOo+aiKxl1IpMXdD2c6c776fFevzkhsuHq/I4kwPYk8cblB5TmpNBu7w6vA9zzdZSION7rkv0kCaqzmffJ8CRuFTlSbddh+1zgBU+lDYKETFAoewwpQfR3r/zvRfulaRi8KOOrxXdorNXMZ/uK0xBskqnte3/BVIuZrVXbbFr00lA9icK7cH70181Pl104hOgOpeRPrUBoI7GoaYM+HkysPkmWvbDyCKBi3a3XbPLloDNCqy5Alh1EY0sAaD3rcCc00BkM3Yx7+DQiUtHRNkJYN1vKPLqcS3Q7w72x9n3NJ8f956r62tbQ+4GpTLGoJQ/NzDjFdGW0G7axnRaOPEJ7w0W7T4fpgDZGTtnNe89+bdkLOZAKbQlAmcW8buIHu7oxwIAOSuAPU95d77iHAAKhXtexzL22hJg18P06AFoxNbLyY8nog8Jnd3K2V5j4E8/F4CRq/53c/ngy4CtzvF5QVySZjAqVpkpXXR9gd0uRcD97uxcItGWQPpCYGECkLeOj0N7AJceBQZpOF93ZORtAhYkyoauATHA+RuBsW92rnLvZoD+aXU0WMuB1fMUb5bRwJi3WcK64fd8vu8dbb+0zm5Typ9BA7KYkQ2/pjFpIlElFNrV/TZif9YSljZ76n2jlSYCHHsTCZM0NfY8CmSvdl3vDDVhyFrGgXzUK3x87F0Z7en9R+0LYX11USPLohNVAl1/6FwAEvHAWKD8hGvaSxCXhCkyNdaYdNHZJXQoNod3vhRGc8JaA6yarTRurQQt++8B5hx3JPYdHTYbsPlW4OfxFI0DQNrlwPxsIG6cf8+tnUInLh0Jdjuw8Qa6fAYlsKwQNl44aksoMBzZiA7BrY0Tn9DozRwODHvau9c0hriUKK9x5wvjvL/Ec9m3RwvWSuCs4sDrkCbKlQ62Xa+Q6Raz2mfGDqy6AKgqcH8e5aeVXkHKXzZvA3Ue8ZOAblfJ/RhMwNBntPchzivzR7Z+8BWxY5kyqspWeiX5AeYQhtYBWT0FUJNSqHi8xE8EuimpxfSvfU8XiWhL75uar9dRZ0P2akZZMhW7gcAE4MLtwMgXPb+uo6H4EPBtV5p/AoyGTlsCTPlKj+Q1ATpx6Ug48DybwRnMNJQLSQU23URn2KAkYPJX7gfetoLaMmCXEkIe/BAQnOTd63wlLtYa2bBMVOhoQb0/T2XQ2cupxwlJBaJVEaIzC5U00Uj6gAiSZC0FIgfL7eoqgZ/HcXamuf9VvI8dA4T1ZMpHpI6Gqshd9Ej37pqxY/k7sJY2Tqei1rnk+KksGgD6/pmeNnkbmFIEWDlnqyVhD+1BsbUlkmLi3HXe77twFyNxBhNTrDp8g80GbPgDsPwcapEAoPu1imX/cH+eWetj96PA4oHSeTtxBjA/T7fsbwa0L+KSv9V/Ieq2jswlFLMCwOhXGS4//Bpw6jOFyHzJjsptHfuf5WAT1gvod5f3r/OVuGQsksvJGukbgbBecjlpuvvtRPolZY6jHkf4tYgIQGAsBaYA9RqiZBpghZBI6TlDEIXEaZJAiYaPJz6U21VmMfqgBYMRSL2UyxmNTBfV+7msatzrmwPBSVJMLaIjIk0UN4GfvylQCpJ9SRcJw7m0y6mX0uE9CnfTsv+E0iHdEgFMXwlM/KhzaTgqMoDv+1E0Dxur8SZ8Akxfplv2NxPa169p+XSG3bbezjx7YxxIOyJKjwLrrgZgpyiz9y1Azlpg+718fsQLJDJtHWUnZBfeES9w8PEGVTnSu8RbK32hjwiIAcweuv1WnpXLRjfl2LY66Y/ikCbKkYRD3ZtIeKqUHQcmfcHZvcCpT4Gj77seQxCFhHNl6bYgLsLXxGABKtM9u8vWl0V/17iKG3/7uQiI0ugzC/i7URMXAVGJdvprVyGvFioy+fmr96/DO2z/K/DTcJVl/8XAvFzPnkcdEYdeUyz7leq+mFG07O/hpimsjkahfREXcyi9PQ6/Diw/D1iYRE1HxmL3s8yOjtpSYPUcoLaIF+3Rr7HR4NormE7odlX7CXnv+BuNmBLPcxW4ekLxft6H9uBvxBvkb+K9Ol2jBbUgtmS/+31V5TA1kXCOXJ++gOQgZjTTOwJicM3bwCjOCCfd0ZabZX8kgOZ35SdJcOIn8fOBge/70Bv87gGm1gA2Z6vI1D7XpPP4GVVmSKdOXxA7lrbsVTkUsPoLUYOBpPP5+R58WVYPxU2U2yTNoCNyVRaQu7bhfR55g+mm+MlAnAcRtg6JslPAtz2Bgy/A0bL/B88Tgo6GmiJgyRhg2x287hpMwMiXgQu2tn3biXaIRhGXN954A927d0dQUBDGjRuHzZs3e9z+5ZdfRr9+/RAcHIy0tDTcfffdqKpqBNGYcxw453tWmgTEsHLm+AfAr7OBb+KBtVcxNK9lTtURYbcBG67lABbcBZjyDdMBa6/kxTpyMEuf24N5VvavFFIajHR89eWcGyPMFdb3DfUdElEN9XGcIdJEyRexhFpAXU2khiAu+ZsYNex3J9BdlSKy1wHLJtNZE5DkKWYMS70DYziTA4C9T/A+pBu9W+ImsLJslxtHZFMQ0OVCx/P2BaZASQ78mS4CgAFKRPHYe/y9G8wkiQKmACBtLpcbShdZy4Ejb3G5/73NfqodEvufA77vxQovAIib1Dkt+09+plj2b+Xj8L7AnJNAf70pZ0vBZ+LyxRdf4J577sFjjz2G7du3Y9iwYZg1axZycnI0t//0009x//3347HHHsOBAwfw/vvv44svvsCDDz7o+9magoCU2cD4D1hKNn0F0Pc2ug5ayyhMXfcbkphVlwDH/kPzr46KvU8z5WEM4CwnuAv7+uSuZX55yjfeRyD8CVudLH/ufbPvHjO+9igqPqCYYMFzCLcqByjc6XocZ2iVQVdmS9O5rpc7bh8xkFVF1nIKpw0GYOy/HQfd2iIKHAFJENROuIJwVefyfuiT3I8ojz7xMZDnZkLRnGXR/kTSTJLzugo+jh7u6q4sSGN6A+mi4x9SrB3WS7tkXYdEVR7w4zBg531KQ0ALMObfwPlrO59l/4qZdCO3VQMwAIMeBi455Lmnmo4mw2fi8tJLL+Gmm27C9ddfj4EDB+Ltt99GSEgIPvjgA83t169fj0mTJuGaa65B9+7dcf755+Pqq69uMErT8JmbeQEd/Row9zSNfAbeRyt7WzWQ+QOw6f+YTlo+HTj0uufmbO0NZ76j/wcAjHmL1SonP6PNPwBM+Fiap7V1HP+AJdyWKNeGhN7A14jLSUXHYAzw7CeRpZQxh3ZXjqORKio+yHy20QIkXyjXnxFpojGuxzCaZHWR0GaYlRB7UILcLn8zsP0vkiCo9QJqIzxLJNDzWi7HjqHXCaB0mtXQoSRfxFB28V66B3tCzhqKLtVoKzoXg8FRixKr4YmROJ3tFqpygFw3Xjm2OqabAAqmjSbt7XRwMrgwGShSfhORg4F5Z4A+f/TvebU2Mn8GFsRLL6jgZODifcCwv/v3vDoJfCIuNTU12LZtG2bMkGWhRqMRM2bMwIYNGzRfM3HiRGzbtq2eqBw/fhw//vgjLrroIrfHqa6uRklJicPNIwxGGvkM/wdwyWHgoj3AkCc4A7PX0Udj2+3AojT2h9n/HFByxJe33rZQfBBY/zsu9/kz0Ov/gKK9wCbFLGvQg75pRPyJmmJgl6LNGPIYEBTn2+vtdt+JS5bSH0QQErfbKWkiEWEo3u8qaBXVOYnnOXp+OFcTOUOki3JV/5vQNJaxG1T+DgdfZG8pg9mx0V+oSjOjFv4CtFI3h5IUnfrM9diBMVKL4ynqUnIEWH4u8Ms57NItEDOGbSOq89xHoVoL3a+Rn5dWetEUQPICMB2phYzvWdEVEA30/EOLnGa7R00ZsGwqJ4P1lv3PABfvcSTbHR22OqbiV81ilB9gMcScdO8LA3Q0GT4Rl7y8PNTV1SExMdFhfWJiIrKysjRfc8011+DJJ5/E5MmTYbFY0KtXL0ybNs1jqujZZ59FZGRk/S0tLc37kzQYKNwb8ihw4Q7g0mMUP4q8fP4mhjh/6AssHgLsfozeDe2lzLqmmGJcaymQMBUY9S+uWzOfIfOkmY2LWvgL+55iuiOiH/05fEVVDrVOMAAR/b17jRDZqitQnGG3S+KSdjmjM3UVsvuwgBj4HdJEWao0kROpEKgX6DpZ0idMYTm7M6KGO6b9dqh0GOFOkbWQZJJXgIJn0RNFDXG+nsqiT39B4l9b5NgmwBQgSZS/dS72OkkmszQcfe12KcSOdmq3IFBvOHdL+0ittjbSv6WZnHBmDummWPa38c7yzY38LcCCBPbAAkh0z98IjH2rc5V7twG0+Ke9atUqPPPMM3jzzTexfft2LFiwAIsXL8bf/+4+pPbAAw+guLi4/paent74EwjrSRHf+euAeZlMqyTN5CyteC+w90mW8X3Xi2H53PWNb8zW0rDbgPW/ZWoiJI2GcgYTsPE6oPQIG8JN/LT9hLpLjsjU1sh/Nc4cT8z4w3rSVbUhWKukMVbafPfblR4GKtJJWBKnSVKkjjBUZgF5G7mccqlcn/4NADtTF+68QITVd9kx2RxSoPctQC8nq/nSQ9KczlrjGCnR0pr0v4cRpcoMRhidIYhL7lr3OjBxgXZeBlTpIj/rXAq2AlA+l5J9jv2cAJKWinQSki4Xurwc+Vs4IBst1MvpkLBZgV/nAGvmSsv+fncBc092Qsv+PwNLx6os+y8D5ufolv1+gk/EJS4uDiaTCdnZ2Q7rs7OzkZSk7XD6yCOP4Pe//z1uvPFGDBkyBPPmzcMzzzyDZ599FjY3LqGBgYGIiIhwuDULgrsAfW4BzvsZuCyHOpDUuRT9lp9gWH7ZJGBhCntLnF3G8si2gt2P0kLbFARMXcgQ7f5/cBAzBlCM62uqxZ/YcS8/3y4XOupDfIGvaaL0b5QFA7Ue7iBy1/GTSIjE/tXEJeN7AHamTkJS5Hp31URqBEQDkQO5LMiPgMEAjH4diFW1IrAqZe8AsOdhllxCSY3k/Opq4W8KAkY8z+UDz7FlgBqh3YCoYSTDmT+4nl/xQaljEO9VnS4SRnQ5v/qX6Dt3hFa3AQBkyi7lUlfhLiCjLd2uZqRKB5GzFvgmTvoTBcbTsn/Uv/x7Xq2N4sPAt92Ao2/ysSkUOGcxMOVr3bLfj/CJuAQEBGDUqFFYvnx5/TqbzYbly5djwgTtsHtFRQWMTmE0k4kRAbs/0zMB0UCP35MAXJZHbUG3a6hTqMpib4mV5wPfJAAbrgPSFzleuFsbp7+W3Z3Hvsty2LM/syswAIx+A4gd7f71bQ1nl3EwNJiBkR4M0xqCz465SqQiMNbzhUekiUT1jti/2l9FK01UkUlBK+BaTeQMtZ+LM0yBrn1dMn+giPTI2/L1QQlMYTmTH4CzwoRz6HG08z7X54WzrJbORURYulzIyE1dBXscCcSOVnQu+f7VuYjPTpDEjO+BEsX8y24D0r9yfF6N8tPyfeqGc4TNBmy4Hvhlisqy//fAvKxOaNn/OLB4AFCpFHUknMexIsXDhEdHq8DnVNE999yDd999Fx999BEOHDiAW2+9FeXl5bj++usBANdeey0eeEDmPi+55BK89dZb+Pzzz3HixAksW7YMjzzyCC655JJ6AuN3mEOBrpcBk/4HzM8Fpv1EB9rAeOb3T3wMrJnHMus1l7Mqpaa49c6vaA+w8Q9c7n8P0ON31FqsvwZ0y72xfXWxtVmB7Xdzue+fgUgvtSla8JW4iBLhSA8l1zarTL/UE5eBjserLZNRGTVxEWmiuAmeu04D7nUuAvUGbyrR6fa7GX0BgDFvsP8J4Og3I2Aw0BMHBuDU55xFqyHO++xSV1IuokbdrlQ50Kq8UIwWGrUB/iuLttul8VzqpbKMWdj2521kJaE5DEi+wPX1h16lRiZxOhA9rHXOuS2jcC+wKEW2kDBHAOetACZ+3Lk0HBWZwPcDFI8kG6PZE/4LzFiuW/a3Efj8a/zNb36DF154AY8++iiGDx+OnTt3YsmSJfWC3dOnT+PsWWmT/vDDD+Pee+/Fww8/jIEDB+KGG27ArFmz8O9//7v53kVzwhTAi9y4d9gYbMZq5nVDunLWmf4NdSYL4oGVFwJH33XVKDQnqguA1XMpsEycDgz/J2fQay7jbDdmNEvC2xOO/psEIDCWlUSNhbqiyFsPF9HwrMv57rfJ38Ju2gHRQPQIrhPEqOQAZ/Jnl7LsPqynI2nyJk0kUC8Y36KdkhSEIPli1+dCe3IGLMqitYgLwG2EXmb7XY5pnejhyu+6UpIwgNVTxXtJTlLnyMqojB8chb71fi6r3L7FFkXZcQq7jRYgZqQ0jjvxEXU7IpqSOoepMzVqS4Bj73JZGNl1Zuz4G/DTUEabAaZR5+cCSed6fl1Hw6HXmRoqPcjH0aOAuWc5WdTRZtCoJN1tt92G227TFrKtWrXK8QBmMx577DE89lgTBih/wWhilUfCFKYzCrcD6Qtp5V5yADi7hLctt3D2mTqPrpHN1ZzNZgXWXcULdGh3YPIXTG9supV27YGxzLU6X5TbMqoLqNUBgKF/JzloLKqyaBpmMALh/RrevnCvog2B5wtRfRn0dCl0DuvFZml1leyNU58mmivLcCsyZCfihtJEACupLFGM6hXtlm64AEmZIAT97+Zv6sgb8nlBdETDxYKt/Cy0Ps9hT7FCqGAbcPwjoBejozAYOKgffo3vRzRgFAN+0vkKeRtJglZ2nO01BJGpF+gqOhdDK8/KRZooehT/AwlTea6F24Ejb8r3oUUij71P8hIxAOjSibv1lp1i+5Ty43xsDAImfsIIdGdCTTHN5Aq28LHBxGrU/nf59bR0aKMTxf+aCIOBA8uwp4DZ+4GL9wPDnmbEw25jNcP2u9lga8lo9ospbmIvl10PchA1hQBTF5GoHH2PFucwABM/a38dbPc8TmV+5GCm45oCEW0J7aktvHTGyf/x3hjk2dlSEBe1yZvRJCuLinZLQatmmmiid86ZBqM0ost10rmUHmV0yBjAbUb9iykPgcp0YPMtPE5Ef/4G3aVsghLYDgBgK4BalS9SfVn099JZ1jlqZDBop4tiRvGcagqYzmxtODdWNBhk9OTQy/z8LBGu0TWbVVaz9b+n9QlXW8H+5xXLfoW0xE6gI3lnIy2nvgAWJErSEtZHsey/y59npcMDOuk/thkQOYBeGRds4Y985Muc8RmMnNnueghYPBD4YQCXC7b55hVz8jPggFIVMv4/zMHnbwG2Kl4nw55yHFjbA4r3cyYMUHvRVFV+kY9pomxFVB7W3f02taVS6Orcx0ikhDIXM7oRGOvY1M+XNJGAO52L6E8UO45VTZVnpeGVwNF/86IrzvOsm3QRAPS9HQjvA1Rlk1QLJExl1Kc6F8jfyM+0eD8Jk4jAqN9T5mLqewAnncsqL99wM0J8ZvHqjtBXkMzVFPJxikaaKH0BNWKB8Z0zBVCVB/w4HNj5N8Wy3wyMeRuYtR4IaKYKzvYAaxWwYhaj2sKyf+ADwKWHdcv+Ng6duDQHQruxodaMX6mLGfsuqzGMFqDkIAeKJaMZjdl2F6MznvqmFOwANt3A5YEPMDRflUdhsK2Gs+SB97fGO2s+2O3Atrt5oUydy67ITYWvwtySQ7yPm+R+m5xfmU4K6+nqVSEIkhC5plwiyVfFGd/SRALxCvFxrixy7k+05U+8N1gcB+L1v5O9ndzpXABqt0YoVUoH/yWt/o0WWRZ+ZpEkX11mOXa1jR7Odhp1VdS6CPjLz6W2TJZrq40EjRagjyqN7fxd2O2yZLrvn9tXmrU5cPwjCnCLdvFx5CBg7hmgz83+Pa/WRuYyxbL/Zz4O6kLL/uHPeH6djjYBnbg0N4ISWOFz7o8Ut038lM6rphBatx96hRbqC7sAm26iI6nag6Mql2LcukqSn6F/J8lZfzVfH94HGP9R+wtvZy7mRcIYwNxxc8AX4lJTBliVFIknYiGiFlpdo8VxRDfcFFWa6PTXvI+f7Ojp0hBixwIwAOUnaWgHcHAVRCBxGit+zi7h4+7XAGPfka+3W5lShJFmdmUn3B8rZTbfl62GzTgFRAflM99K3xPnqJHBILUtosQYUPm5rG5dP5eCLTxeSJrr7FjdpNP5f5K3nj2gjIFAn1tb/jzbCqwVwLJzWJ1oqwFgBIY+BVy8FwhObOjVHQc2G7D2KmDV+TKC2esmkjfdsr/doJ2Nfu0MAZFA96uBKV+x/n/qIjbAC4hmaP7Ye8Cqi2gjve63LFldPV8SlEmKC+6eR1n1YQphI76ASH+/M99QVwNsV3wy+t0FhPdq+j597VF0RmU8l+ShosjZv0UNcRxbDWfq6lRdY9JEADUYUYO5LKIupUeYGjIGMpqwQ+nCC6W8ucfvgX53y31U5wGWcOX8f4FbGAx0KDaYgDMLpSamywUklKVHWE1hDHRMEwnUp4t+ZEoNYDWPOZypmcJdvr33pkCUQWu1bTirak9w+HXH5w4o0ZYe13aeHjtnvqOZnGgyGdKNPd0GP+Tf82pt5G9VLPu/4OOAaGDmelaQdqZy7w4A/dtqLZiDmeKZ8BEFcOct44wvuAvFkqc+BdZdDeSt5cDS83rOKM98KzUJ496Tg1x7wuHXOSgGJTbfxbLyLA2yDEZW5zQEUQUUGO/+IlWRoXinGGSKRo3QHrKhX9xE2dem/LRCOgw0ffMVzjoXQSjixgOGAHbPBoCEaTJ9M+I52TwQkGZhntJFANNdItKw7S4KVS3hbBIp0GWWY8PI+tcOJaFWp4uMZlbdAVKX0xpwFuYK2Opk9AsGlq0X7eXD0mNMhwGs1OrosFmBX+fScVlY9ve9g5b9zTF5aC+w24EttyuW/flclzaflv3xGsRXR5uHTlz8AaOFZaxj3mSIcuZ6znoF7HUM/y9IpF8LQC+O7lf753ybgqoc9oMCWIWlNSA2BvU9inp7p1Mo2Mr7KDeN9gAZrYgZzQ7KzjCaZD+lCFVYWQyUCVMaZxsf56RzEQQgYRpLoOsUc7gxqnJoo5nl8c4drjOXNJyyGfI4Z5tFu5UKNThWR7mLGrmrLkqYxvvWMqKz2ykkBlyJS+5alslbImlPAEhDukMvA7BT09PR0wK562iYmaEi7LO2AqNf8e95tTZKjtCX5cjrAOyMWp+zmO1RdMv+dguduPgbBiMjLOKi3+tmYPBjTEvYrUqKAPSd+HkicOAFKaxsD9j9CKMB0SOBHn9ovv36KsytzOS9p55IWmXQapSnKzNXyNQM0Pg0kYAYfPO3AtZqR2GuiLZF9HcdbANjmX40qZpLWkvZJdkTAmOBIU9wefcjQE0RCaBA7Bj3r61PF/0ky6oTVToXT6Lz5kLpEZovGgOlQaCA8G5JmwcM+AuXT37C3kvHlMhVR7b3t9mAjTcCyybTHwhgK5N5WUDsSL+eWqtj95PAD/3ZZBOgHuuyXN2yvwNAJy7+RmUWsGY+y/FSLgXGvkk3WSEwNIfRYAt2zsh3/BX4vjfLGfc8Qf8Mf/Z88oTCXXJGP+rl5u1a7Qtxyd8qCWD3a7S3sdtlxEVL3wI49vQpPyXv8zeh0WkigOmXwFj+BjK+ZcTAGEjxoHAyFRVBzogexnJ5NdZdKTtJu0OfWxg1qs4D9jzpmObxlPKJGsLUnK0aOPO9cg7DGUmrLZbVKi0JkVKLHc1qKQFbHZCuRL+6Xsk0QNwEapK2/pmRq6hhjmmxjoSifawYOv4+H5vDgfOWs5VJZ9JwVGbRhmLvY6i37B//ETBjhXcd5HW0eXSiX3MbRF0NsPZyGmVFDAAm/pcRmEOvUqhrMLNv0oVbmVIa/TovugYTB4g9jwM/DgW+70sBZ95G/3bqVcNup4bCbuMgInQQzQVfiMupz3hvCgaCtbuYo3gvPU5MIdqCT0CG3QF6nQCqNNFU9/tuCAaD7AQtIgbxE4GdSsl7YILnWWK3Kx3L42sKgA0N+JMYLRTqAnTOPfmJfC59kedzdU4XGc1AvPL9tka6yJ2+JXcNv8OAaKn/EdEVcV7975FOxx0JO+4DfhwiiW6XC4D5eUBSByVp7nD4TWBRGm0oAEbk5p4Fel7r3/PS0azQiYs/se0O5qItkQz5WyLYWXiHEuIe+SKQoBh8haTQd2L6cop7x/9H8REJBMqOAgeeA36ewD/tltuArBUU5/kLZxZy5m4KopC0OeFrj6LsX3kf1tP9NqIMOmEqOzM7o6bI0WSt5KAiBG1imkhA+Lnkb+J9xBCSKQAYqNHZ2RlDn5LkASBZO/qe59ckzwKSZzMlWX6KM1OARn2iakgL4r2eXSKbjbZm3yJ3xEV8F6nzZCQmdR4QEAfAzv9Zt6ta/vxaE+Wnge968/8PO12hJ30FnPsTYA5o8OUdBjUlwNLxjKzZrYpl/4vAhduBIA29mo52DZ24+AtH/k3nUxjo9RLRl5Uya6/kH6/bNXQ71UJgLNDzD8A53zFnO/lLXpDNYdRyHHkDWDGd4t6N1zOkX1fVeu+trgrYrlivD/hr87clqMygvsJgAsL7Nrx9qWI8F+8h6uOpDBqgpsNuZWTMFMJUSc6v9AQxGFml0BSIQbhCaQKZr6RDTMEsIW8IRhPJr0GVjtv8R+ku7A4jX0T9ZSBmNLUuthpW47hD5CB+DrYaIOM7rhNGdLmrW5Yw15bIKiE1cbFZlZYLcCKRBqBOaQyZMNUxtdTesf9F4Lue9O8BGLWbnw1088EAsSPg1Je81gnSH9YbuPQ4MKADa5k6OXTi4g/krgO2KaRk2NNMA9hqgbVXMNQbOZjeAt6EtC3htDmf9BlJzDk/AL1uAALjmDI4/iGw+lJWGKz9DXDyc8deNS2Bg/+ioVpwinfRAl8hBuPwPtrRETVqSqTRVNcrtLepq6awFJBNC50hymhT50iR7ImPeJ9wTuPTRAIxY8C/ow2ABSjYzvU9rvNenxAYwyhcPewUaVo9kNbwPrLSq/wkTeoARz2PMxzSRUpqK2o4Ixq1JUDhTu/OtzHI2wTAzmqq4C5yfc5qVrAFxDimRw7+SwqqRWqsvaOqAPhpBLDzLyrL/jeBWRs6mWV/DbDiAmDdbwBbFQADMOB+4NIjQGhXf5+djhaETlxaGxUZLHG21dJRV2gTtv9FSRtF0GROeIT4AlMQkHIx/V7mnQWmr2TUJiSVg/fpL+nA+008sGo2qyyq8pr3/VWeBfY9zeXh/2jc+2gIPulbPlcWDLJs1xl5GyjcDEp0dF0VqKtmxAVguwJx3Cyl91FT00QAYAkDgpVSaksoSGCMwPDnfduPMzmrLQJ+mep++8KdsvqkMlNqpDJ+kB2oPR3n7FKm0YwmRjSAltW5NJQmSpsnS9YBJYUCIHJIx/AuOf4xsKiLJIcRA4G56Z3LBRjgf29BHJClRAaDkoCL9gAjnvXveeloFejEpTVRV8UKoqpsDpDj/8PZ68lPgcOvcpsJ/wUi+jT9WEYzw/ejXwXmnAZmbSZJCu/LEH/mYvZDWpgI/HIucOg1lvs2FbseBKzlbA7oroKnqfCFuGQu5n1QovvIRX2aaIZ2lCt7FcuMg7uwVDhyINdXZjRPmkhARI+EmVyX84GAMPfba0ErYlSwBdj+V9f1gBzwRVnxiY8Ztagtot7KHaIG8XOw1dCZFZDEsCWN6LSIi7s00ZkfgOocLo9q59EWawX/pxuvk5b9Q54AZu9rerSvPcFmA9ZdA6yYwf8kQI+ruRneN1vV0e6hE5fWgt0ObLmVmoiAaEWMG8Zy5k03cZtBD2lbrTcVBgMH3OHPArMPspnY0L9zsLLbONBsuwP4tiuwZCyw7x9AyWHfj5O/hakpABj1Ssv1U/KFuBRs4330cPfbeOpPBMg0UcolfE/q4yac2zzW8XY7Ux18wLsxb/q+n6AElvwCShm9goMvcCB3PqYgLgP+xtfVFsn34yldBLhWF9X7uaxpGZ2L3SY7dwsxM0CtUXUetV9qx+OdClkL6tI8TT39hTM/MEoqCGFIGi37hzzq19NqdeRv40RLVAlaooCZa4Fx73aucm8dOnFpNRx+g4O6wUgxbVhPhthXz2eaIul8aQrWkjAYOFMe/DAV95ceB0a+xOaAMHB2vusB4Id+wOLBwK5H2K26Ia8YUf4MAN1/D8SNa5nzt9tlKXJDxMVmY+oKkB2QnVFTKF11taIVdpsUoIqmiurjNta7xRnF++UMEmBqw7k7tbcQBnqR/YFwVTuENfOBikz5uHA7UHacAuDUS+i1A0jSemaR5+9dpIuyfubnGDWUg4m1VGp0mhMlB0msTMGODsj11UTzZZqo+IAsiW2vPXlsVl4fVl+iuCcbmPqde7pjpL18wdY7gaVjSFABpmwvywXiPXR619FhoROX1kD2KmD7XVwe/jwHSLsN2HAtS5lDu8mGiq2NsB7s2zJzDTAvExjzNnvVGMyMbOx7ClgyktUL2++lDkfLK+bU5zQGM4UwstNSqEjnwGgwU1jqCfmbQK0IgG5u2iVkrQBgZ5WMVlfngm3UfpjDpOhTHU0Q0Y2mwlkX0vumxu8rUSFgOauBqd/y3AHAXst+LcKcTnSCTplNLVLiNIWIKfqaitOeDeUiB1JIbqtldMZoAhLPUY69qvHn7w4iTRQ7RhIUdZqomypNtOXPvDeFAr3bof4jdwOjLGcW8nFgLNO9o1/173m1NkqPAYu6Kal0xbJ/6rfA1IW6ZX8nhk5cWhrlp1gtZK8Duv9WNnfb9yyQ8T19WKZ8wwuTvxGcBPS5GTh3CXBZDvU2qfM4wy0/CRx8iVUqC5OBzbcAZ3+miZ61Atj5N+5j0APaBKC5INJE4X0aLm0VwlxTCBAUp71NQ2XQIl3S5QLZE0kMlABQdbbhc/YGzgO9rabx+0qYQk+WinTAAGDS5+ACqMtZfaljmkitCxnxPH+TgvB5my4SJKgl+xZp6VuyV9L+PzBOHrumSH6evW5oX2kEm42p42UTVZb9VwPzcugU3Jmw5ymaa1ac5uP4cxhlaYl0uo52hXb0j26HsFYAq+cxvBk9Ehj7LlM1Z39mjxiAOoaYUZ734w8ERAM9fgdMXQBclsdKp+6/Y8lrVTY9aFbOYpv4pROAijPMvfe/t2XPyxd9S65S4hze2/029Tb/XpRBC6gbDIrzaQrsNlmhJCAG6cbAHKKk/kD9TsrFwLCn5POZi4Ftd5OMmkIc02hhPRx7+aQv9Hys+nTRMqC6QOXnstZzVVJjUE9cVPqW+mqiy+QMfNtdAOz0tBn+z+Y9h5ZE0T5gUapsk2EOA877RYnGdqJLdWUW8MMgYM8jkJb9HwIzV+mW/ToA6MSl5WC3c+ZUuIOdWacuBMzBQNlJYN3VAOxAr5uAXv/n7zNtGOYQlplO/C9bwU9bAvS+mZU6tcVA8W5uV5VNq/kTn3DW2xLwhbiUHOF9vJty4LITNO8ymOWAq0bpMR7PYOLgL/ZZuAP1f53mIC7F++Ts2qhEdfLWN60HlSBi2QoxG/iAox7nsNIlOOUS18Fg0ANsMwAwVST6Mmkhsj/1JnYrSV7UUJJea1nz6lxqCqW2KU5pj2CrBdIXcFlEfmw2GWlLvggwe9E5vC1g54OKZb8SwUuaBczPb9+i4sbgyNuKZb/yXUcPVyz7r/PraeloW9CJS0vh4EvAqU856E3+ioZIdVX0cKkpoEtpe8xXmwJoFT/2bZYgCj2FMZDpjfQFwIbfMz+/8gLg6DtAZXbzHV+YzzVU+lhVIB1Tu/1GexuRJoob79jtWUCkSRLO4WAMAOmK4ZqoUmoO4pKxWC73upFEqvKsDJE3BiL1lb2SOhCDgbPWiIGO2wnDOTUs4cAIVaTixCeu26ihNqMzGPl5iWM3F/KEK2ovWfWUtYL/pcB46SGz7xm6GgPs7dXWUX4a+K4PsP9ZSMv+L4DzlnRCy/4JrLwUlv3DXwAu3KFb9utwgU5cWgJnl0nNx8iXpWBx622s5AiMpa7F1E5mg+6Qv1GZ0RuAmeuBC7YDgx6maNNupTnZ5puBhV2AZVPoYlp2svHHs9vkTKyhiMtpYTxndEwtqNGYNJHQcggyVHq46SmRw28oCwZqTAQpym1Cuih6hOLHUsISfIDl99O+Z3pIYO/T2q/vcS2NCwHgSANl2fXpol+oN6kvi17V6NN3gZa+RStNdEjxa4ke1fbdUw+8pFj2H+Xj2LGKZX8zGBq2J5z6WrHsV0rdw3qy2nFgC6eddbQ8bHWMbDczdOLS3Cg7Tgtquw3oeT0bIwLA0XeBY+9zRjrp87Z/UW0Idhuw7U4u97oBiB0JxIwAhv2dPjGzDwLDnlWs7O3UPGy/B/iuB/DTSGDvUwz9+5IOqUinuZ3R0nBFkTCeC07S1gfY6qSuREuYW5UH5K3jsiAuJYeYOjGYgZ7/Rw2CrRYoPeL9e3BGXQ1QeYbL8ZOZ2hCDc1N0LkaTTDOIyBLAQSH5Qvm49KD0EVLDYGSTOoBVVaJRpRYi+rK6SqSLhEi2OXUu4rMQ/i22WllxIwb6U18zAgMAo19pnuO2BKoKgJ9GATvulZb9o98AZm3qfJb9Ky8C1l2hsuz/G3DpsfZ/fexssNsZPcz4Edj/HLD+Wl7nvwwFfhze7IfT68maE7VlwOq5zMfHjqPw1mCgMdvW27jN0Kfdz/DbE058zFJhczg7Ezsjoh8w6H7eytM5oKUvoGC2cAdvux/hdqnz6D4bM9pzf6b6HkV9HW3dtVCwg/fCEdYZhTs4yFkiONN1RuYPJGfRw2WTSNGXJ2kGq5QiBzKaUbxPuun6im13yOUJH/M+bgJw+DXqXJqCpBk856xfgCGPcZ3dLiMwAsfeAxLPA7o7lYx3u5KNGmuLGTmbfcD999PtSpK6U1+SsAfGMvqSvxWIn6D9Gm9hq5PGc4LUZS3n/ywoQWqYdintM0LS2q6/x4lP6FgtqsYiBrDju7rvUmdA1gpeK4V3UVAScO4yIHqwX09LhxeoymGj0+K9jvdqHyo1jBYAzSvU14lLc8FuZyfmoj38E4pUUFWu0puohqZJLdF0sLVRWwrsfIDLgx8BghM9bx+aBvS7nbeqXBq6pS9kJKDkELD/H7yFpCkkZh6jD84+Dd4Kc202CoUBKap1hohCJJ6r7Qch9C0pqjSRc/lw5CCSgKJ97hs4NoQTClkxRwBh3bksogqFOwFrJUXdjYGIJOVt5HdmCae3TUU6/U2SL5KanfW/J4FzNjbr8Xvg8OvssJ3+tfv3mXYFsOshIHs5q4sSziFRzVnZdOJSopjzmUPpGwOo0kSXM7pUsEN2SW4NI0dfYa1gf7AcofsxAoMfBYY+5tfTanXYFP+qU/+T63peD4x9r3NVTrUH1BTzmutMUKpztbc3mIGI/kDUYP5PxX1dDHBD8+qUdOLSXNj/LC/sRgtJS0gKZ4rrruZAEd6X4khvOj63dex7ll2sw3oB/e5oeHs1guKZWup1A/UXGT8CZxYAmT/yczr8Km+BcUzRpM5nysMU6D1xyV2Lho3nFH1Lokb0y1pBfQ4g00TFB0lKDWa5TpxHYwW6Jz+TnYt7/FauD+nKGXjlWbr6Jkxp3P7DevA7KjtGE8TUS6RGJ3UOrdJL9ivnXwcsHQ/MP+tI5LorxAVgI9Dk2dpEKqIPo1uFO5jCSZhG4pK9Chj0YOPOX6DeeG4cz62uRpZpCxIpIprmCKDX9U07XnMj40dg7ZVSLB6SCpy3onl6krUnFOwAVp4v3W8tkexmnzDZv+fV2WGtBEoOuEZRKtz1rjPwuuJMUNx5a5WUNPsp68SlOZCxGNj1MJdHvyFnzLsf5gzUFEIflIBI/51jc6HsOCumAGDki7IxYGNgiQC6X8WbtZJk4swCNu2rzqMm6Nj7TEelXCxTHA0Kc7/gvTkUCIhyfd5aoZAbSHt8NbJ+IaEI6SqFsvVpoplAYIzjeQjBsK/YpRrQe6jKPQ0GpkTSF3DQbixxAZguOnqM7ynlYhlh6XYly6CnLQYWD2FEoyYP+GU6cL5KzxI7mhHEqixWOR18ke0itND1ShKX018CIxWRbO46Eo2GzAI9wVmYm/WL0lMpiZG5qhy5TZ9bGn+c5obNSr2bKNmGAejzZ/bx6mzRhW13AYcU91uAkcwpX+vut60JocdzJihlx7Td0AEgOMWRoEQNYXrTz346+q+mqSg5BKy/BoAd6H2LtGpPX8j0BwCM/6DjdC7d8VeWmybNAFKa0cHSrPTLSb2EF/yc1bzgn1lIcajw5gBY5WItpQeJluOw6Goc3lf7WDlrmLoLSdPeRqSJUufICJlITagrPuqJy2HfB+f8rTSAA1hK7mxCWE9cmqpzmUmzwKxlTBlVnCER7DKLz4d2A875Dlh+HgA7kLca2P04MPRxPm8wMsV59G0+3vcsQ/ta7shdr2Cfq+wVLFEOjCMBLdjSNM1JrvIZCOJSn7JT0kRb7+C5G8zAkL83/jjNidwNwK8XU4cDAAGxdKTubO63pceA5dOBCsULyBTM4gTd/bblYLfx2uJMUEoOuhfLB8SQlKgjKFGDpA1EG4NOXJqC2hIKzGpLeGEepVQylBwGNigz6H53u/cRaW/IXsXB1GDkjLql0l5GM/sCJZ1Hr5v8zcDx/9ATBuDAmL2CXg8J06iJSZ0rB1NRXir8RFzeh6oM2vk92OrYigFQpYn2849vtDiWRoekMmpUW8KZjC/kVKQ2AApjnWeeooQ7bwP1U439rJPO4/dVcgA49gHXpc5xLMVPnMbfrhAK732CviiiN1PqHBIXo4XN/nY+AEz82PVY4b1IwAq2yeqi9K/5u2kscanOZ8k5QL+dumpZpt71SqBOZUKXOtf/3ic2G7D1TySLAt2uAib8r/NFWfY+Dex+FPVp2/ipwLk/+X223mFgtzOd7KxBKd6nNOXUgDmMEy7nNE9QYruSMejEpbGw2yhoLDnIcNrkrznjri0D1sxjRCB+iqORV3uGrU52f+59C3/wrQGDkQNWdR6JS3gf9nxKX8gqluzlvG29DYgdD3Q5X+pG3OlbznroT5S3geIzS5Q0NatPE53vOAMxGGjolr+RFwtviUtllmNlj5Zrb8xIEoWqHKD8BMuYG4OAaFZr5W+WPZbUvYkE+t7GbU4qZnMrLwTmZbB6KvFcRmlE1cDJ/7LMX6sDeNcrSVxOf0VCmf41jega26FZVBNF9GN0LeMHVjkFdyEZ2vUwm0fCAIx5w+OuWhzFB4AVMxghBDhITF4AJLvpg9VRUZXDCJ7QfhkswNh/tz3tUXtCdYFKKLtHEhUR0XOGMYApHWeCEtqV19R2Dp24NBZ7nmR1jDGQdv7BSYrN/42coQd3ASZ/2XDZbnvB8fdJFCxR/qnaEBfBmFEs7R3yGMPQZxZKLUj+RmliBVDwawpiCFTMJiqzZcdjLTv1DFFNdLH87rSaEQpEqoiLt9h6G+pz/YA0bFPDFMT+VvmbmHZoLHEBGFnK30xdiCWC5M4ZBgPFuoU7+F7sNcCSMfTUMAXS++X0l0DkEKB4Dz18zl/vehHsegWw8z5Wzwx+lOvy1jNS0hg9VJ5TmkiIi9Mu57GPKGQldrx01PUHdj3ENJr4XpPOVzpzt3OTSV9x5B3+vu1KSiJqGPstuWtyqsMR1nKOH85pHkGGnWEwcjIX6SyU7d2h9UMd9521JNIXMZwOAGPfAWLHcPnQyxSGGsy0+Q9O8tcZNi9qinhhBoChT/jnIiQ8XNTC3PBewIC/8FaRSdKx62FpQrb3Cd7CeinppPmyZDZ6uOtAZ7fzuwVkSqhoHy8kxgDtvLyvlUXWGseOy+Zw914zcRNIXPLWO1Yd+YqkmbTCB4DkS90TCFMQcO5S4IcBjK5UnGRV3JQv+Hmc/pJGYeYwntfJT9mIU42wHozwFGzlZxIYzwhW/ubGiYzVwty6akksu14JHP+IaTrAf/b+FWcYXRAmhMZAYMJHHSc97C1qyoBVsyTRNJiAYc8AA//m3/Nqq6irocWAi1D2uPvXhHZz0qAMZvlxe3dgbwR04uIrivaxFw8A9LsT6Hktl3NWU7gKACNfarsGWI3B3r8zVRMxAOhzq3/OoaFS6JBkntsehVBGj2BY9OxSkpUDL/BmUkp5w/tQqKaOiJUcoD7GGAB0uYDrRLSlyyztCiVficueh+kwK5Aw1f3MKH4iyXBTHHQBlhHDAMAOxGmY7akRkkIdwrIp3D79S+DIdIqSDWYO0P3vYWXZzvtJCM2hjvvoeiWJS/pXTIOd/oo6F1+Ji80qU2pxE9hVvbYECE7mZ7NeIXOhPenc3No4+Ip0vwXoEn3ez9q/k46M098A63+nuN+C38f0FUBYN/+eV1uArY5kRE1OivdSB6m+DqgRlOhKUCIHMlqqA4BOXHxDTaHi9ljG8P6I57m+IpM+DfY66i/63uZxN+0KJYeVMkaQkPkj9WW3kVQAnkuhbTbm1wGWnfa+gZqjs0uoicn8Qc7QhaNsyqV07U2aKSMhidNp1ma3e04TAVLXUnrEu3TIEaU6xxIN1BZq61sERHqkaDdDyM4EwVsUbEV9CkPofzwhfhIw+k1gq0JSt9xCsXDCOdQTBcYBoT2ovdn/T2Dok46v73oFe3Xl/AoMe5qfdc4qAI/4dt7Fe/m+LRHUEu1/Tu4/b5NsQjn8Gd/221TUFAHLZwCF2/jYYKZYvV8H+t97A2sNsHYeU7IAAAPQ/15g5PN+PS2/wG5n9M1ZKFuyn811tWCJcCIoQ3h9C4pv3XNvh9CJi7ew1QHrruGMPLQbO7gaLQz5rb2CTq1RQyhCa0fq7Aax/V7ODJIvApIv8M85lJ3ggGsM9Kz1yFmJ+gG6qxKqt4SxbLbr5UDBbmDJMABGxZI+FzjxEW/mUO4fkBqQ4n0UXxsDWHqtheAUVWXRYf4G3OHo+1LgKjoYa+lbBEJSeas4w7YRnkiOJwjyBVAo6034vu8t7NV08hMAdmDZBGqbspdzoBr5Ah2hDzxPM8FQ1ew6rDtdePM3A7VKdUNjdC6iDDp2HDUTZ1Rpom23czkgunXTMif+p1j2K99feH9a9ockt945tAVkrwJ+nQNYlYlAUCJw7s9A9FC/nlaroCpXo5Jnr5wUOcMUROLtLJQNSe1YY0UrQicu3mL3w5y5m4KBKQslK97xF16ULZE0mWvsrLgtInMpoxQGM6Mt/oJIw0T08yw4OyWM58KBgDDX53NX8z5xGi+yeeso7E1foLhEKs6mO+9jWsJg4uMuF7g3DzQYOEvK28A0oifiInRRwalsrGiJAKKGu98eYNTl9Ff8jTWGuNjqgNNfy8c5v3pPIMa9DxRsVyz3y4DjSjl13nog7huWO+esAnb8DZj8heNru15J4pK7moNaVTZ1MaJSyxuo9S1nl5L0CTJXoEQ7+t7p/f6aAmsV8OtsEjcAtOx/RPrddBbYbMDG62T1GQD0+AN/Kx2t3Lu2RNG4OaV5RFTXGQYTr1HOQtmwnvQb0tFs0ImLNzj1pTSTG/c+uyADbJh2+DUuT/gvldwdBbZaYPvdXO57O/+Q/oLXVv9KN+cIN8Zzoj9R0kxeSBKm8jbyXxQf738WMAYxV3/2J/m60sPUM6TN0+5aK4iLJ51LzlppoZ04jRf++KkNX9DiJpK45DZS55K7lq635khWuFRlKyTIQ6RHwBTAaML3fUhcivcBAfFATS67b496GVgykhGdnNscNSxdLyepz1nNaFXGd4z2NJa4nPgvl9OuUAznwEhYY8usfUHmT4yqWhViG5wCnLcciPTjf8IfKNwJrDhf9qqxRAJTvwMSffhO2yLqqhhZLVJKjQVREalILYT1dNWhhPdtmpO4Dq+hE5eGULiLzRMBYMBfZQfdwt3snAsAgx6m42tHwpG3qSsJjAOGPOrfc/GWuAhFfuJ5rs/ZajlwAq42/wYDL8oA32vqXODwm8ARpVKl5CCw/S7eYkZTE5M6D4js73henojLNiUyEBAjvRe8IQ9C55K/sXFGdMKDput8ugWf/B+1Pd4cG2Bl3PQVwNJxAOwkLQBN4HpdD/S6kf462+4CLtgiy6NDu7FEOX+jFERnr5JdqhtCVY6qAmwYiQPA6qYVShl719+0bMmnzQqsu0r638BAAfio1zpedKEhbL8HOPgy6lOxybNpA9GeSm5tVqD0qGsEpfSIB8v7ZI1KngFMQevwG9rRrw7srhrXjaHi4BRWQASn8HFQYvOH46rzKcatq6Avw7Bnub6mCFgzn7qLLrOAIY8373H9jep8YI8ywAz9u/+rJLwhLhWZsqqh+zWuz+dvZqohIMa1/Li2VKYAUucAkQNkaijpfHqYpC9g9KJgK2+7HuQFLG0+L27q83RG+WmgcDuX+97Bfj+Ad6mf6BHU3lTn8aLrS2M+Wx0N4ACmbqqySVzOLqNo1lvEjgHG/BvY8ke57uzP7Pk09Cmm6Aq3A8c/BHr9n9ym25UkLoKA5G3g7Nab8k0RbYkcSBM6axl7R6UvVKp4DMDIl71/D74ibxOw6iJZWh8Qo1j2j2m5Y7ZFlJ1gubdoT2EKBiZ+BqTN8fgyv8Ju43/ORSh7gORdCwHRrpb3kYNkXzIdbQrti7jkrAHK1mg/ZzCx6VpIijaxEY+9tZu2WYG1v+EfNqwXMOkzEiPhmFt2jLPKif/rePnL3Y8xKhA1FOh1k3/PxVbHiAfgmbic/B/vDSbZGFEN0Q06abqradrZJbyghfUmGVFXE/X8A6Ns/e+ieV3Gd0rX4+W8EO5TEYDSwzxOwrmOv4ktf+a9MZB6mb2P08gvaljD798UQNO9vPW8+UJccteQrARE832L3HzBVjpx+nJR7nMTkPur/JxtVdRAdZ1Ho7kd97JPUdfLZdlm2uWcqRdsk34ueRu9I2zqNJH4LtIuA44pbR/ipwJBLTCo2GzA1j/L3kwAq5gmftq+ogvNgX3PKs1jhWX/FOCcH7X1Y/6A3c7ft5blvbVM+zXmUF5HnKMoQUm6ULYdoX39E8e+A5gLgYoMihsrMoDKDPZrsNcpyxmOdurOsEQpAr8USWaciU5gHAWH2cv5Q5+6SF7k9z1DwaoxkGJcrSZ/7RlF++RFe9TL/idl5SfkLN1TRdHZpbwP1mj+BzjqW5zh3FSxcCfDx6YgIGW23C44kU00e98E1BRT55G+gBoI0RtkxUwa26XMYTQmdrzUy3S7ioM/oPi3ePnZxk9UiMsGoOd1DW8vIAb81HmsgAtJITErOcC0WdfLvN8XAIz/D5tDlh7i4623kbj0vY29eUoPsz+NaHMRmkbikbeBDS2rc5ku8oW4xIyS/khGs9SZtIS9f/EhpqEqM/jYHApM/gZIntX8x2rLqMphY8TivXxssABj3qK9gL9QU6gtlK3O197eaOFv3ZmghHbrEJb3nR3ti7h0/w0QoWHCY6sj867MkGSmQk1slMfWctqeFxfJP6UWDGZpDhQ1nCHwkBSWwe1X0kWjXmM/mY4Eu52CXHsdBztvdRAtifqKov6eB/qi3bzXCuXXlsieN87ExVYLZCzmcupc3gtb+eSL6OeihYBIpqS6X8OUyZJRjAyZQnjhP/Yub8YAaVA27GlgkxLB8qVCSOhcfDGis1m1exMlzSRxyVrmO3ExWoCZa4BFaSwHrsoE9v0DGHQ/MPJF4NdLaJjX+490NRbHztsgS0VzVgJ4vIFzr2X5N8AmitZypolOKJUs4f2av9v67kdJukR0IXEGcM73ndCy/11GnOot+4cA561oPbdsa4VsaqqOoggy6QIDiyKc0zzhvTtOuxUdLmhfxMUdjCb6KIQku89B2+28eApyU3HGlehUZnDQUTsa5q3jzRlb/kgXVOdUlHgsli0R7ScEmfEDBzRjAH062gK80bfYrNSAADSUc0b2ryQPYb3oMaJGzmqS2cB4EgRvTOecYQ5hBKXkINDvdhrYpS+ggLUqS273fR+ZY48Z5d2+AUlchFeENw6aOav5Ww6IkV2eAQqTD78qI1C+IigemL4aWKY0WNz1AAlu8sXUe51dymqiqQv5fNfLSYZFx+68jYC1EjAHuz9G4S7qxyxR8r8XN15+LyOea9y5a6HiDKMLogO1MZCRJSHC7yxwtuyHkUR70P0tc7y6Gn7m6uhJkbC8t2u/JiRNWyjr6beko0OiYxAXb2AwcJYcEEnBnxYqs4Elo5mGipvIMuCqs0DZKeDEx3Q6NQYCsHMAqsrhrXCH++OaQyWxcZeaaglhsa+oq6YeAaCle1Oa+jUntHoUOePsz5DGc5e7Pu9NmihlNr+Dgh3UL5mCOBh7C3F+JQeB4f8gQYgYAGxXqomEd4vA8ukc8NPmM9Ljqa9VcBeGuMtPMQ2aNKPh86nXhcx3nHkmnMOIYtlx3hrzPcePBWLGAQWb+PiXc4D5OfT6+XEoCVvWcupqQlLpxJu7Thr15W1wJFPOEJGl2DEk0wD9ZAASTK2eUY3Bodf4mxcTlZjRwHnL/C9Gb22kL2T7BOGqHNqDZfBhPZq+b1sd073OZm0lh9xb3gfGaQtl3Xkp6eh06DzEpSHYallyWXmGniXTfuQfxW6nU2ZtIf9QF2xT8vV57lNTIqJTW8Qwd8kh3tzBYOLgVE9m3GhwWnJmcfg1zoqDkoBBD7bccXyFNxEXUTljidAWXwvi4lwGbber9C1zeS8G/OSLfSt5rC+J3i/XibRiRH/g4v0sGT78KmCOoONo1jLetvyJOpbUefSK0SITcRNJXHI3NExc3KWJAKa+4sazQirrF6Z1GoOBf5ElyrZq4KcRwJxjQJ8/8be07S7gwh3UpXS9ksTFGMDtc1Z5R1wCoqkdCkmVEZsBf23c+apRUwSsmCFN7ITBYr/bm77v9gRrDbB2PrVaAGjZfzfTfr7CbmcHY4cIyh7+H9y1mTCHu7rJRg32b5dvHe0COnER2HY3qzAsEcCURZLdH3sXOP4fCromfS4NyILiedOqYBGwVrimopyJTpUiLK44o1i7ezjHgGjXVJQz0QmM9T01VZXDRooAO7q603W0NrytKBLmbBEDXJ+rOMN9GIyump2iXTSZMgWTDDQmTSQgzq/sGMXE2WtkmmjEi/xOhKh16JPUz5xZyJRS/iYO7LnrmGaJHs5O1mnzuF+DgemiU595p3PJWUViHRirrVNKmknicnZZ44lLl1mAIQCwK6mv8uPAut8Bo19l5VHxXv53+tzKaqBtd8l0XvYqz/sW71F8fgYlYmQMYi+cpuDkZ/Rlqrfs70efmk5n2b8aWH2J1B4FJjDa5I1lf3W+awSlaC8nalowBjLK7UxQQtLaTxpdR5uCTlwA4Nj7wJE3ABhY3iyMxfI2A1uVWdiwZxj69gXmEJaveiphFcJid5obEb2pq6CyvqbQs7DYGOhEajSITlAXltkK7HqYF7CYUb5VrbQ0yo5xgDEFew5bl5/gvZbxnCiDjhlN4qdG+iLedzmf31XBNqZPTMFAig9pIoDpvoAY+n6UHAR2KGm3wAQg5SJG9HLXKuc5jb+JgX/jreIMz+XMQlryF+7kbc+j7GKdNh8IV0hZ/kaW5HuqjBCmc2mXaZfwJs2kT0/2cv7+GpOmtIQDXWawb5EQs5/6H/tZDXmCvYR2P8JKqpAUIH4yJwbiPVgrtKNjlWelZ4gQ6IrHPX7feOM3axXFw9nK7wFGuu46N4js6LDZSNxOfizX9bgOGPeB62dbW6otlFXrttQwmOge6xxFCevl/1S4jg4FnbjkbWSoHuBFTJS/VuUCay+jliV1HjDAi8Z0jYFaWOwOdjtQW+yainImOtW5HOiFfsEtDAzHBqcA5jDZwyfpfGoTBNHxdxv1+oqiAe4H6vLTcvbc/beuz5/1oG/JEPoWxUxLVBOlzPa955TBwFll7lrg7ApJLsXvpmAb04YBMa79jEJS2Vm4321AVR6Q8T0jMVnLWJa9/59y25pC4PjHQI/faZMST2kigdgx/G5rCqnPih3t23sVSJ1D4hLeV+nebQc2XAtcfICRouJ9wJ4ngVH/UtJFaxg9sdUqOheNiYCItoSksUWCSKvBCIxoZL+szKX8L3d6y/7dLNevVvx8LBHA1G8ZzSve4xpFEYRRC6E9XAlKRD/d8l5Hq6BzE5eKTDrg2mo4qxXaDmH1XXGGF+UJH/o3pGkwUDAYEOW5DLSumjNWLc1Nve9NpiIszuZNjf3PSl0GQFLjSXMTksKIQkvNprzRt9Qbz5ldPxu7Tc6wnYlL+SlGNQxGEpWmpIkEIgeRuIj+VaZgagYA2W4g4RzP0ZKgOMVK/3rOeDN/UrxiFktTrU3XAzv/wgqqtPlMcwk32uyVDOUHxvFYWjCamUI68y3JUWOJS8qlAG5hE8ZhT7PfE+zA0tHAxC+A1RcDh18Het/M0uttd8gy2+yVnomLQbk0CX+cpBm+G5/ZrMD6a2QECgB63wKMfqMTWvb/RTo2A4zkRQ4BttyqWN7Xab8uuItr08DIgbrlvQ6/ovMSl7pqYM1lHOgjBwHjP5QDyu6HgewVnHVPWeD/yIO3MAWy3Ne55FcNu40DW8UZDtT7/8FBIm0eTdUE0akt4kDplbA42XNqqrHCYkFcPJG1sz/zPiTN9bmivdTvmEIoSFXjzHe8j5tErVL+Fs4wTSHUnzQGgmBVnOR9j2vlACl0Hb5441jCaZvf7UrqZtb/jtEUYyC/w+P/4c0cRjFx2jxGQAD3aSKBpJmSuAx6wJd3KRGcBMSOY+onIIaRyTML+bvZ/bDSXPF7Vu6c+yObMOYo0b2cVdr7FMRF+HaIypMxb/p2bvlbgJUXqCz7o4FpPwFx43zbT3uE3U7tVtFeuo0ffh2oK3fcpvQIbwKWKMcIStQQxfK+gxls6ugQ6JzExW6nyVL+Rv5hpy6SgtT0BTI0P+6D5je68jcMRg7UlnDg1OdcN+hBYOgTjttZyxtOTVVlKcLidN48CotjtFswqJcDYhwjW95EXIr28D52rOtzopoo4RzXEPaZRbxPVdJEItqScon3bSGc4XCeRmC44oVTV+Oob2kMTEHUeKR/w6qjMW+wjDV9Ab+P01/wJmCOYNrJnXGYqEzKXedeb+INUufwf3TmW+CcH4DveiqD5g42RzRa6Byc+RMjWYK45G/mb0ydkquroTMvoPjdmADUMTIgDO0ags1GR9+jb8l1KXOYRnTXNbw9o9Kd5X2p9vamYP5O66MnClEJTtaFsjoaht2u6C2LKV+oLVHulWWt9UWFzX4anZO4HH2bglxRKRTem+uLDwIb/sDl/vdwpttRcfAlRhiCUygQdYY5lBd6Txd7m1URFqtTURpEp66CM9+aAkk0tGAKUgmIk6WHiygDDklh6Fr4ktisQI3ClgQBUcNdGXRNIUWw4nV2u0wnNOU7FwJagEJhkdoo2MrPIDCu4Q7XniCM6EoOsPli4rlsy5C/FTizgM6yIlJx8Hng0Es0xkudD6TNJUmsP9e+UkeSs6bxtvapc2hCl72cs/qLdgMLEkg8TnzIfkXpX9OE7txlitjdroiV1zt+N4U7qFcyBijERUlfjPqXd+fibNlvCgF6Xk9SmvEtifHgR1nppBantwfUFJOQOJOU6lwvXmzke+5/N0XuuuV954TNqiIUyn2NBvnwtL62xH1a0R0qmv+tdD7ikrMG2HoHl4c9Ky/YtWXUu1hLebEf/g//nWNLoyKTPZcAupD6KkQVMJqVqEkKAI2IB6ASFrvT3CiPq3OZDik7JrsJC2y9TfXAwAqekBRwRq7AWsYKIqHHMVrk7N7Z9yTjR/75IgeRtOZtJjkyhwJdLmzcZwE4Vmr0u0Mue6tvaQhBCazQKDvG7sXJs7i/uLG8VeYAJ/4DxIyhlqRwJ4+dvZJVPrHjmE5Knc+qpqSZwPEPSPCciYvdznTp4ddJAAb+Vbv0P6I/SVDpYSBzCYnfjPXAz4puJn0BCVvJIUaLEs6RaaKcVY7ERaSJbCpjsqAu3lXz7X5cKelXLPujhpH8HHmDj03BJM7b7+K64c/J3lRtCdZKElNnoWxFupsXGPibEBGUqhzg2AcAlM8wcggw/RfdG6U9w26nF46aVFg1ohvu1ovn6pqRQRiMjOoGRAKWSMopLKpl9fpKM4Bbmu/Y6GzEpTwdWHs58+bdrpJmVsJkruQAQ6aTvuzYfS52PcAwfdwEoFsLW5s7CIsHu9+urprCYUFmMn4kEQiIphiw4owiLK5lisq5JHOzkx+JKYR/dmMAcOBFxzTV8f9wG9EewCFN1ASTv4OqNglqTwsxUCdMa/y+BeImKMRlgyPZsNUCGYu4POI5pqTKTjCddGYBoxv5m3jbeb/Sz0WJpgmdEMD/QtYvwN4nmEYSOPUpB/rBjwExI+R6g4HrDzzPdFG3K4G4UfSu2XEvABsHYwDY8wTTkuLzEIROoN6jxibXNWSGWJGpWPYrfj8GC6tbinbxcWAsMPhxoPeNdL/e/Qi1HWvmcYIy4sXGi5ObAlstz8OZoJQehXvL+1Q3lvchimX/hUCekpKEERj2VOP1SzqaB7Y6ToYbE91QExF3LsONgSmoYbJhcVp2fs4c6j3pLymBTlwaC2slL1ZVOZw5jntffvAH/8XBy2AGJn/FLsAdFXmbeQEHgFGvtJ0ZpymQYWzh1yIEwSmXABM+4rLdRhMzkYradAMjNYEJ1FPUC4tVswtbDXDiI+1jHniO6ZVqpbqqthQ48IKT0DhFVux4Qvq30mANkPqcuhpJAJqjaWXcBODkJ6qeMgqyljMFFpQIxE/hurAewIB7eKs8S2KRvpCRFOFuCrAUdvOtJDKnv6RmBaAIuPcfKQQ+9Rlff+ZbfidDHpP9lgRxyVzMAdlo4TGzfqG+pa4cMIUqDU73ATACsPG3WFsmK1Sc35MplE687nDodaUpqHJRD4hlVKV4LwlrvztJfISFf+8/kqjv/ycrbHJWA0vHAN1/R5+mUA2Bd1NhtzEl62J5f5CflRYCYxkpcSg3HuS+FUH6t8D6q6VDbUg3YMbK5rHs78yoq2oa2agtlpWAzQKDQhxUZMLbqId6fXtLk2qgcxAXux3YfDO9NAJjgSkLpRgx+1dgp6LxGPkvWq93VNjtwDald06Pa903pGwL0BLmGowMeQclcNa/tpjr+9zsaCRWWwb8PIEDRK8/8gIuNDfF+2VDPXsdUKkKwWcuVtmfqxAYq+o15aY0XPyGLJGKIE05//zNHFAC4933yPIF4veZv8nRiK6+N9Hl2uXpwV2APrfwVlPIHkDpC5SWB3bqvgQMJpKTkS8DYd24bvAjwL6nSGAyvucteTYJTOx4fidVOdQOidTctB+AhSmMjomqlpP/pRlgwWYAdSR1ybOkc7Qavf5Pu2y5pghYcT5QsEWcMMmS0Dt1/Q0w/FntgdsSzkhE75tZvn3yvySC6V9T1zbw/sY5R9vtJIdaQll3IXpzmGsEJVKxvPdmQlFXS3+ajO/l59D/LrYv6Myw2zgJ8UY46omIiIaozQFjoFP0wl1Uw8N6c5iuT1LQOYjLoVd4gTKYmAYS5cIVGcC6KzmAdf8d0PfPfj3NFsfJTzmbNodS39OWIXr+uBOzlh6TF5ZuTsZzthpJfIY8quhhFGy+hcSl1x+BIY8AO/7K6qqYUezq7CwurqtkxKE6Hyja3fB5m8N44ctdAxx8RUYvYsfyd2Zo4l8ucjC/v9oSfkZRgxnVSV+ofBZeiIsDovl7D4il6FlEnATsday6yl5FApM2n+7CEz8hgdn7NF1yM3/gLfkikpeM70iEBHExGIGLDwIL4mRUxG7j5yOQs4rExaWVgZE6FGec+gLYcJ00HTSYeL62GkajRr7kWvquhdA0YOLHQP87ge33knDtewY49h4w5Emg1w3uy8mrCzQIyl4SQi0YA5jSiRqiYXnfyIEoZy3w62z5WQbGA+f97LkFSXtAXY1v0Q2H9eJxKdym2xoDc7jvUQ3n9boxX7Oi4xOXrOXs/wIwny2au9XVsElcVQ4QNRQY+++2kzZpCVjLgZ33cXnQg227N4utVvb1cUdc6o3nLK4OqNkrANgZ4VCTFrtNNlVMm0c9kyhTHvyIa2WS3c70hrtycLGsThGJipbaYgpBBTIXA58H0PvE2fPG+bEncy+jmSQoeyUH+6jBTMnUFrFBZtwk968V7ylzMR1t6yMWIOG6SElhnFlA4lKVo0Qk/qv421xIr5bRrwKDHwb2Pc1ohfCOAeg+POpV+V8KjASmrwJ+mSy3Ed8twDLp4c/KflMCyRcBZlWKzloFrL5UVorVv586uriO+CejTb7+h2NGAdNXknTt+Ct1J1tuoYngkCf5nZTsc2weWHlWe18Go2Ls5hRBCe/t2VPHF9hsTJGe+FCu6/57+lD501TPbmdapKHoRkNRD0FImwNGSwOaDS+0HJZwPcrRBtGxiUvZCWDdb3hx63GtY6XHjnt54bdE0mSusT4W7QX7n+OgGtqdIfG2jNKjJC/mUNnU0hnCyl/reTG4Obvl5m9h2sIcTr1J3kYSEHM4mwY6w2BgdCIg2r2wuKqAEQXYOXCmXQZsupGpkcTzFAGqXfbzqTzLW8FW9+/fEqHtcyOITdQQhbisB3rfpHL8dZMmAjiwZPxA0a3oimwKoe7j8JscdOoqGf1IngWMfpP7F+Le8lOsCkr/hgNC4nRGYvr8iWmmE//l/6w6B1g2iZOEeKV8O2ES+xfteUyejzEIsFUxilVbKivABMa8IZczl7GLsbNewBJJwtn3Nu0Zra0WKNjOqE7RHpLghHOYqlLn+W01JD+DHub7yPmVEbu1l7n/jkK7aQhl+3unh2osCvcAK2dKx2tzBHDOt433BhKw1Ta+PLZey1HKiUFzwRzW+OhGvZYjqGNPRjsxOi5xsZYDq+cxxB8zGhjztvwRn/iEZZ4Aw9/emlu1V5SfphAVAEY837IX1+ZAfY+ige5nOyXKNrEaTqj1/YmcyqBFtCX5Qg50YsBPndP4z2T7HSAxMQET/ssowdF/c7CMHcfoT1ACMDeTkRlPncIrM5QBQbmVHPB87BOf0HtIEBF7HXDyc1miHpzM3HrGd4ywFG7nduZQoM+fgQH38tyK9tCHJWuZbDBqNNHpNmEKMPJFeqykL+Ct5ABwdglvMLCB4sD7gWMfAlUZnBAsm0jiOOQxIH4SU3ZZy2VfLFuV8ibsQNZKoGinfF9RI0hIbTbFsl9lrAeQBPb5E/epdna11dLTJmcVyUfuWtmfSA1jAAmgKYQDbsWZhr0pIgcBPf4AJExWLO9b2U17+18Vy34lBZJ8ETBpAWCwsrLKl+iG83oh6m0OGEySPDRayxGhN2XU4REdk7jY7cDGG1gSGZQATF0oy1wLd8nS2cGPyKaKHRk7/kaFfMI5jAi0dTRk9W+tkXqCtPmOz5UdZ7dog9m1V4/aLdduk6Zzje1NZLPKfSTPlqmNyEHK4KkM0gnTeCEOTuQtZqT7fdaWOvndaBCdyiwAdkZwhIYGAI68xZsaQgMC8DOJG8/fQER/ztyNFhI8QVz63e56TgYDzzlmJIWtxQdp7Z++gJGj3DWy8zNAz5S6Gu4vaxmjM0MeA2asAr6Jkzb8AsffdyQOY14jAVkxC6h12jZ1LjD8nzRGFBVbOb9Sj5O7TkMIK2bcKs2Drca1CanBTKIXPZzRuOjhJHgHnud3XLwP2Ps4m2Y6N8lsDOrNwBogFaJzeJ2INhmoZ8nbAHwd6rsZmCeYQrwoiW1gvSlYj3LoaHF0TOJy4HnO0gxmYPI30jG0ppAmc3WVQJcL6EnR0ZGzVpmxGuiy2h4uKg1Z/Wd8J5eTL3F8TkRb4iY4VoeUHGGkwGDmbDVvA31hLBEUnjYGe5+SAuExr8v1gnCJiImv/Yki+8vIhxZstcD3/UjQIgYDJXuB6JEkI5UZLCWvygbJjWpgs1sZhRC6HgGjkmbJ+BFYdw1Fo859p4KSpE4jsj8Q+QA9QspPkxCmL6C5I2xyBm+J4uCbvZy3xPOoxVg9Fw5eLaKPEwAEJgInPgOOqlJFAJ2Ch/+TA+PpLyVRqY/cuIOXIk27la0KKk4DZ5fy95N4LiNTfW4Fdj5IkrjnMabGBtxP87zaUt/NwGpLtCNB3p2o7O4sYDA2jWwILUdH9q7S0aHQKOLyxhtv4Pnnn0dWVhaGDRuG1157DWPHunFOBVBUVISHHnoICxYsQEFBAbp164aXX34ZF13UyGZ2npC5hAZbADD6NYZ2Ac6w1/+eM63Q7sDE/3X8cKTdJgWivW5sPxUHDRGXMwt4HxADmJ08CbLcpIkylDRR4jT6YZwSpnNzGq/4P/wq72NGOdrpi/MWkYXmMJ5Tw2ihedqJE0CZUto96mWSlb1PSnM+UxjQ/Wo6z9aWulZMVWYwlVoviKxjubMWDEZ6xGh1Co8cTI2QIQBYNYsCV4MJDiZ8ANNm2SuAiCFAiar1g7VEtVzhSFoskUDCuSRIKy9EfRuABmFgGim8L8XM8ZOZgqjMYMqsaDdQfMCVBAD8PHJWOTWCtFAIbq+lRmn7nV6eRwMwBWtrM/LWq6qUjOy1lHqJNkHxxQxMh44OAJ+JyxdffIF77rkHb7/9NsaNG4eXX34Zs2bNwqFDh5CQ4GorXVNTg5kzZyIhIQFff/01UlJScOrUKURFRTXH+Tui9Ciw7moAdqDXTfRqENj7NKspTEEU4wbGNP/x2xqOf0T9gyWCIf72gLoaoEQZjN0Rl/xN2s/b6pSKIrgKc4W+JUVJE6U3sTfRqS/kwDLqNcfn1OcVmEAn1+ZG/EQa69lqSOC2/EkaylkigL53sDdNQ79zayUjT5tuAnJW8nOLHOiUrsp0EhZvcb8/oRUyhwPRQ4GqXE4W1NUiatLijDqn5oC1xdIR2B2MgRzEA2NY4m0OAyC8PIqY6jn2XhPNwGrdB2/M4awcCu7iGtXQMggT67XMwI79B9hyszSnixwETF+hW/br0KGCz8TlpZdewk033YTrr78eAPD2229j8eLF+OCDD3D//fe7bP/BBx+goKAA69evh8XCUGT37t2bdtZaqC0FVs/hhSpuAqMtYhaS+ZOsaBjzlqNleUdFbQmt/QE2lmsvF77SIxwkzeFMWWihXDGNS3JK8RRuJ5mwRDqa61XlSPfa1Eu5XHmW2zkTHG+xU7GiD+kqq2cEAmM5C7aW09G3JWbD6m7YooGlJZJusf3vYiWUNzAHU5ze/WoSF2s5ozdq2G38DD11Cq/IoNC1Tknd1Ba5Vgq1FGzVjJxoRU+0YAz07DpqCmEKqqaIUayy43S/dVeqay2leLkyC+h+DdDzDyR/vpTRWiuAlReotEJGmioOfsj7fejQ0UngE3GpqanBtm3b8MADsv+F0WjEjBkzsGGDs4EU8d1332HChAn485//jG+//Rbx8fG45pprcN9998Fk0k7VVFdXo7paXiRKSko0t6uH3QZsuJaGXMFdgCnfyPB/2Qlg/W8B2BmB6fkHX95y+8W+Z3jRDe8D9NUQXLZV1KeJBmoP+MWHGK4HgB5OxnMiTZR4rqNvRsYPAOzUgYR2pQYKoNCzMWmi/K1AuSLuVDv2qmFQ9ALBXXzfvyfY6qjx2POEXGcKYYfvfne6t4VvCILA5W8i6bVEsH+UszbDbiMpC0pimiMoHgjrSS1HdT4rp4r38TtSC4ObC6ZgHt8SpURYYnyvYGnMd263s9FhwQ4gZwW1Y6WHHaM4VWdZ+XPwRQAGptKiR/KzjRunmAdq9MI68x2w7ipHy/7pyzt+taMOHY2ET8QlLy8PdXV1SEx07OWTmJiIgwcPar7m+PHjWLFiBX7729/ixx9/xNGjR/GnP/0JtbW1eOwxbXHss88+iyeeeELzOU3sfZoCQWMA00BisLBWUoxbU8gZ6qhXvN9ne0bpMfZfAuin0Z56UzSkbzn5Ce+NAa6W7lm/8N5dGXTqHGXg/5qPG1tNtFUhgpYIoOd1rs/XVXGQB5rulCtgq6PIeu/faRKnxpDH2b1ZQG0G5osvhzGQUYVFXfkemmoG1tykBeDgXldJglQGEhm1iBhGhaiE8zrgLCxuLAwGkt7QrkDaHLm+uohl4cfeo+i5/jOzyzYG9WJyA6OIsePY2DFyCF29s5bK5/veDozuJNcpHToaiRavKrLZbEhISMA777wDk8mEUaNGISMjA88//7xb4vLAAw/gnnukSVpJSQnS0tykDc58B+x5lMtj3pJ233Y7sOVWoHAnywcnf915bJd3/JXah6SZ7a/cuyHikrWc96HdHNdbK2Q6SJ3+sZYDWUr349Q5HFyqsjhjdyY43qAyS2ps3DUAzNuA+qoZdy6r7mCrdaxIqS6gNuvU55zRAzRvM4dI8e+B5+luq65gaYrludqSHyChMVrA5oh1gLUaQDN2q20K6iqBsqO8uYPBSPLibOSnFhkHp3h2LHaHwCig+1W82W00sNt5nzSJc4g62WXlktBY1Z+jhWmmuAksNw/v0/GLB3ToaCR8Ii5xcXEwmUzIznbsbZKdnY2kpCTN13Tp0gUWi8UhLTRgwABkZWWhpqYGAQGu0YDAwEAEBnpBMooPAut/x+W+t7Epm8DRdyheNBiBSZ+3TOfXtoisFfTYMJjYNLK9VRs0RFxEiXGcUzPMnNUkayFdedEXOLuM0YPQbmztsPU2rk+b17hI1NbbQcM5CzBYFRW02+khUlMMnFINSgVbgKPveR/18MYMzFYF1KjKgKtzeXOGRzOwcD5vs/KY1nJa8RftUQZbG+rJj626ea3YG4I5wrHSyBmmEHaOrimA2yojg0V5fzV8L5WZvHkSFlsiPbdiCEkBAuPca1cMRkbgul4BHHgROPBPWfYcM4Zptfyt2locey2vV6KTuSmYfjHRw3mLGsbfb2PIlQ4dHQw+EZeAgACMGjUKy5cvx9y5cwEworJ8+XLcdtttmq+ZNGkSPv30U9hsNhiVXhqHDx9Gly5dNEmL16gpphjXWsrSUHVH1LxNwDYlnD/sWdmfqKPDZpXlz31udW/g1lZRV01xLqB97tYqWWLrbDynLoNWkzVRBp06V6km+oaP1WmiejOwBkhFdb58fUAk8PMYx9dppUaq84DNN/nyKSgwoJ44GMws4Y8cyIGzOpcdgdUD/KQvSc7UBKWuml4vZSfkfdkJmsaVn5RCWme0RIqnIagjE9YSYPxH7Bek1RqhrkIazQUlMg0cECObH5afIBEQWih5EEZfA6KV6icbiUVVjkytFRfLBp9aMFpoVCeIjWZrhmQ28Ox9I7D7UeD4ByRMBoujV4rBopx3tutx6irZWTx/s+P5h/cmiRGEJnoYj9veJig6dDQBPqeK7rnnHlx33XUYPXo0xo4di5dffhnl5eX1VUbXXnstUlJS8Oyz7D5866234vXXX8edd96J22+/HUeOHMEzzzyDO+64o/FnbbdRcFt6mDnjyV/JC0JVDrD2cobc0+YDA/7qeV8dCcfe44w5IJq6h/aG0sMcvESvHmcI0gADTeTsdl7ga0uAjMV8KjgJOP2NQj4KWLYMsMR6+XkM4RtMwLa7gE1KOsbFbdULVOc5NlcUMBhlzxYxGMdNJPHwJCA1BbP/0JG3OfDCTpIy4C9MSanN9NZdzfue17M7c9kxIPsXVmKpCYqzj4omTPDeG0UD5jAOwLVFaFJ6qsssx2aNm24CZu/je1r/WxrYaaEqmyQOoHld18toLhkQzehc0R7eivco4mGN6iNTMElAaHfuwxLONE1NsRKpUSqnqnJ4XSk/xZsnBMbLaE3qfNkIs04hU+F9gfO3AYFhrJLL+VU6AGulvYSHTOkR3tK/Vh0rFogaThIjCE1Ef91QTkeHhcFut/t8tXn99dfrDeiGDx+OV199FePGsWfMtGnT0L17d3z44Yf122/YsAF33303du7ciZSUFNxwww0eq4qcUVJSgsjISBQXFyMiIgLYpXSmNQUBM9fSAAzgzHnl+RwAIvoBsza3fk8Rf6GmEPi+Dy/Oo17Vtm5vS7DVMVqmjm5kfEe9RmgPoM/NrlGP3A1ATR4AIxAYzeftzai10DIDU5fLHnlLacjXCxjxrLYZWN4mYOUMDlgR/TngjnvfMY3p8DnUAic+psC8/ATXBcaTcPf6I2AtkkSk/AQdgE9/CQfnWU8wh1HIbKuhDsjb1zUrVNEjAVOYtLG3RAOjXgI2Xu+4TWgv4KKdTI9U5QCbb2Ua1BuCZImipiltPjVPpiCSHDWRKdrD1KS7yFNgHNM1kUOUJooDSBJqioDKM45eN+oSca/TagZqb8L7MpUtiI4piFqqkoNsDFp2xPWlAdEAjIqXkMZ3agxgulWkmUR0prFVZzp0NBIu43czoFHEpbXh8MaLfgbWXsEnJvwX6PE7ueGO+9hM0BxK0hI50D8n7A9suxs49DIvrhftatnZVl2VRirFTa8Vd+ubZAbmBgYLCasgG6XHqNuIGAh0+w1w4AWSpcGP0UHXgXhomIGpcfR9YPONXJ61DYh1029o1yPAvqfodBoQS3fd/vewUaEadTXUM+x9imJNgL/byMHUcFSc5qy+IWJmCADsNdR8hPZgmqUqu/k0KWG9mYoNTqaTbME275vyiY7YWgiIB2oUXU6Xi4FJ/wUWJErjNYG0+RTWi1RIVS57b534GN6Tt1Cgy4XcV8rFjpMZWx19WgSREbeyo+67HYf2IKFR38L78D9ntzPSV3EGOPQqcPw/qCdalkgSk/KT3kf5DEaaGJqVvkQ1RdqRtOBUkipbLcu2raWu2wCMKkUPUyI0w7kc2l1PNeloMejE5dR6RGycyby082Bw+humiABg8pcUyHUWFB8EfhzCQWLaEiB5lvZ2duEm6mUXWXdaD9GfpzmgNgOrzuNFOXIwo2jOUY/NtwCwAb1vBfr+Wa7fejtJwIC/AiOULth2OyNQZcc48AVEAyumU1MwP8t3YreoKweEsF7ApR4qWJZNYeXSuPc40Gy+mamigfdxgCw9SpOx4gMaGgytz8dCX4+QNL7f/K2c7Qcm8nuoLfTtfTSE8D6M7ojfUvkJ4NBriihadakwBTOqISqdfEHPPwDHP5SPh/+TPjSrZivu1iGOA/vQvwODH3bcR1UevWyOvuWbJscYQB1U6jxGZILitbezVgIl+1VkZi/JjbsqMWMAI2xRQxgpOvWJbORoMAOjX6XuTKAyG9j7BHDsffl/Cu+neOIU8juuPNt4vVFArHTyheJBU5Guva0lUiEzqlRT5MC230VeR7uATlw+644I20leeKb9JL0Zig8CS8dwFt//XmDkC3493xZBXY0bUlEM7H+OF9mwnvxs3BKRUjRJh+AMS0QTG7s5mYH90J8NAs9d6tr4sHAv8JPSlXduuuwNZLcDi9IYpj/3Zza+AzjQ/DiExOiyPGDHX4Cj/2bPpnHv+vY+c9YCv0zh8qQvHNsE1NUwOlJ2gue+7U4ANlaAlJ9yLS3WQlAXmo2F9iBBMQVxMKsp4D6KdrsfdLyFOzO4iP7sop0wDUg8h4Pd8ulsnWCJcp3dRwzgOWYth6Y2JnYCyUz5SffnYo5iCkxgykIgbS5w/GNg43Xcv/P7nfode/U4oyqPUdaDL3tBBJ1SVgYjED+FkZjUed5VHlblUQCsjs4U7/UQQTTSsyV6pGOERqRsytOBXQ9KfyJTECdlA+8ngavOcU1FqXtNVZzxoWGjQf7/DEamDmvytX8XBhO/a7UIOGo4EBTn5bF06CB04vIuEBHfA7hgC8OiAAfjpeM4I0w4Bzjvl6abTTUn1GZgvqRSnAlKc5ajGi3apMKdBbomEQn3zdK8IdRVA18q4fC5ZxQzMRV2PAAc+AeJyFUqTULxAWDxQK6/vFA6k+59Gtj9MEW8U78FFnZhREdNbryB3Qb8OIyDkzkUGPA3RwFs5Rn3KQU1hLgS4GfY9Uog+WKmXUoPkWgV7VGqqrzVoWhoRwAARhJCrZROxACmyRKmKSkgxcagroqeSMc/pKGarwQ3oj8w5m16J4mSdfV79njOBuoxoobRZM9uBaJGAEU75CamMP7v3XXNrs4HDrwEHHzBTUTQCIfPVeh+1IgZTRKTNt+3/lJ2GydPa68ESva5P6YaIamKdka5GYzUUInO3UEJwJAngV43eL6e2e28TqhbMJQcBAq287dUmeVFB21nuPtdgVVcUUP5WcWM4HcW3rt5rwU6OhR04vJBMCLmbmTzNoB/2rVXUmEfnAxcsB0ITvS8M19gq3WNbnjbtl6st5Z6N7B5C3OYqitsuCIuLJcder2JehgD215Ou3A38NMwnuPlha7nt3QcS0Mj+gOzD8j1h15llCNxOjD9F7l+yViWoI59hw67K2aS7M7Lch0IagolESk77lhCXHIcQAMzeVMwdQK2GqamokfRybZwJ6NhYvCyRFCIaavhQGf3IeWmNdDWPxfonthGDpLRlPipjv8Pu51mesc/osGdlnYieiQHQHeaCaMFGPgg/UuWjJameAGxnM2r0etGegt9He2FqFqj2im8L7VrAZGO62vLgPQFwIkPKcx3B0MAI1uVGdLZGOD3on4MkOAJEhM9wvP/5cwPwLrfyPRWSBowfSXJSckhRzFw0V6paXKBkdex2iIZwQnvA4x8GUi5yP3xG0JVHkXimUuYpiw75rqNwaJEXhpxrTKYSWhCe9DGIGYsJ5Fh3XUTPR06cSne+yEiBl0nnzjwIlMARgsw/VfZ7E5tBuZLdMN5vbciRG9gMHuOajhXsGitN4c7XggOvkLflsB44JLD7bti4ORnwPprqAc5f53r819Gkij2vAEY/55c/+ulLIcd/g/qSADOPBelAjAA8zIZij/+H5bJpsxW+ZocV8qGvUjnAED8ORz4wnowLRfag8tBChlYOpa+I9EjOettTJm1waRoPKrcpz6CkjjIaJnORQ2RqZ+EqdoajoozdHg98REHVoGQNCDtMiB9IVAhyn09zL4dT1xuFzGQqUsACO0p+zrNPsL3JVJ+AEnetO+lZ0n6IvlaLQQmUt8UO5YTi/SveVOnSxLPA9IuZ7rp8GsaaRwDNVTmUKURpHLexgBWElVlO6ZPQruxpDltHn+f4j9os7JQ4Mwiud++t1HP4gk1xa7ppqI9nsvXLZEk5wlTZZTGnT6nIVTnAzlrKLbO+RUo3AWX7zg4hb/xwHh+LrWFQPlpJTXlhsRqwRTMCUNIV046wvsoZn4q3xtzSOPeh452AZ24bHsBEYE1JBbF+xX/BjsFk+bQhs3AGgtTiHtS0aCmQ2g5gps3ylGVR/FpbREw9t9A7z823779AVHi3usmYNw7js/VlAFfKz4m034Eki/ksq0W+DqWF9JzfuAFsOwEexGd/YnRKXMYLf4bgpgxhim30B5AUAqwZjYjZt2vBSZ+pJxPESNdRXuVAWgvdSgi2uAtzKE8P2uF9mBgDOSgaQqiFkJLiBs1lIPp0bf5eN5Zmf5Rw1pBQnLiI6Wnk/K3N4WQrPS8jmTg50mMDnhCQDQw9Xsap+15gu+9HioCEznEcV/j3gOyVwMnP5brnL/v2hLgmwRGkAbez8mJNyLmwDi+j/73AhEq5+SaIvYDOviSa1QFAKJHA/GT2C9I3QMqIJb7LD/lmGoJSqCZYXhfYM/fAWuxPP60pe6rzRqC3c5IkIjKFO1hx+ni/XAbBQlKVJVrK7fIgb4TgeoCRmKyfyWZKdwJFyIT3kcSYtGZvDKDZKZoF1C0j5OBqmxFS+dD5MYc6VgO7mLoJxyL21iUWIdX0InLu0CEL/9Jg9GVTHgb3VCXybYlzYzAlj8DR95kjvmCbe0/JLt6HmeuI18G+t/p+NyxD4FN1wMwAOM/ASpPMVpSsAMo3OblAQxMp4X3ZBRATVDCupNEOGPzrQohMAB9/swS2eK9nHX6CmMAL8bWCnqSuFzYDRwcgpNIlMpPa6cUghKAbtcog8gUqfX6cSgHuykLGBkAOBjmriVZOfWlIzlKOAfocR3Q9XLqlYr2AStncTByB3M4o0j2OnaittmAI68pp29hxE8rCiQiMCmXcKavjixofd+r57Ix5qCH2QF6+z3uz8kZxgCmdmLHcYCNG8eJTW0J04oHX9SOsIX1A/rezLTYyc8czzG8H99b8QHtVgTxk4FzfgQCwl2faypsVgqldz8G5G9UVnqKghn4fp3LtcN6e3+NqCmkIL0+IrPDNd0d1kvRSilkxlnYXJ7B1+atJ7EtPaL0b2rkcGMMVByL3fSaCkmlyL09NZTtJNCJy0+XICIyGjj7M2fRwcnAoIcYMtV0Iw3pmCy9aA/w03BeTKav5AWkveO73sy9D3mC36E6nVNysOEImjGA0YngNF5wYaOeInsVbf97/5GRKS3YFEdSdQSlYBdQcbwRb8QoI4B15SQgWvqT4GTOlAMimcooOSjLZ+th4CAcNwE49g7P84LtFEU6Y/PN7M814K902j3xMW9qPUNoD0ZWelwrO2sXH2TH6VOfqt6CGz3NyJc4y1//W8f1QUksQ99wHQA7o4t1dQCc9qFV2XTeMtdmlyf+B2z4Hb1J4idTsOs84BkDGWWz1Shppk2814p6BcSQxMSOJXkt3M4KsxqNCFZQF2DQg9QCHf+IQmVxzsYAkkGtCJApmBqztPlMRwZEu27TVOSuB7bfKwlMYDyPZQ6XqSct4ggwahcxkEZ66ihNcJeGr5E1xSTAOav4fyrcrkFkejpWpzk3QQVI2ov3MaJTuJMpqqJd7iuyjAoJ8cV+ISjBc6+p4BReXzriuNBGoROX4mJEHHqAkQZLFHDBVmoOOhPsdgpNs5czND7l64Zf0xagLhtWC2DFY2chpxaMgRx8RKTk5P8YBRn+HDDgXkbYTn0BrLuKofyL9wILkjiYnbecBK/8pCNBKd5L0uBsfOYLjIHKgNbABbbn9UrqKofCYWeiYjCSqCRM47nGT+ZMX7ynsN7UMmlddI8oFT3OQlNzGCuYel7H/Ynqj+IDCmH5HJqz4JBU2ZwwOEVGYmLGUBcjIg8h3dnE9JdJHODNocD4/1A0D7DcOH+j+893XiYHT4GSQ8CRd4BDL7n/HEW1UlgvinUDY7jebidRy99MB+P8zYwWaBHH0O6MNJUe09YimcOpV+nzJxKn/f90JAXGQJZQmwKpkxGuxwD1bInnMfKVOlc7dddY2O10Tt55vyw5jx5BT6vEc+kPoxYC17sDu9FbBcQ4RmYih1Bg68lxvLZEicj8Kk0JnQlpaHcSGVHBFtbdzfux8X9QuEsSmqKd7qOa5lASZUukYnBYDVQXsQTfW4JjDm2g11QKCXp7j2K3EejEZefbiNh3C1ee8wNdMDsbznzLULoxkNU1Yubsb9htNMxyaOinIiiVGV5UVykRhrCeyk0hKL9ezAvj8BeAgfdy05pi4JtYrp9zUs7w1l0DnPqMJnUhqcDuh5TZ5mCmK9wKZo3gAK7xdzCYSITsNr4fTxdIg4kDQOxYDqy2Wmp3tITeBiPFqYnKTDV+smvFDACsuYxVM4MeBIY9LdfbbZwBn/gIOP2V6hgGIGk6U0Fp8xzTYMX7FcKiEcUASHQG3g/0v5ui5kOvsCQ3oj+w+3FGkRzeg5nvw1ZDQnH+BmDNfJLUPn8CxrxBMeiaK4Cclc4fALfpehkjPyc+YuREjehRwJg32awwa6lcL1oGJJ1P3ZO7QaauhqkKEZHJ3+QoSG4QZpbY16fZTNSQqNNuMaP5eduswNmlJMPq9xg/UYp7m+v/WldFY8B9T0mimnIJMOJ511JuQQ4cvGeU0nu37sDdHLUzUUO4Xy3jxtpSIHedEpH5laTcmciEdJWppcRp/F97inpU50syU6TcF+/XrkYzWhhNiujH/3xALP/ztUUkQOrWDF717wL/x8FdVGQmVTt6I+wXdLiFTlw+CEREYDUt24c+7u/Tan3UVQOLB3FWOfABYPgzrXv8mkJZieNCUE417DVjClbpSsR9T16Qdj/EgXvmGsfX5G8Hlo7islp4evBf1D4ExAGXKzNhWy3wTXwDVUJGapbckQ9LBC+yYvCJm8xB2F0Ja2g3Otvmrua5DPs7kLeBs1GXRnyKGVl9RGWSnNnmbwFWnA90v5oDtUBtKbAggQPVhTtoBlZ6lGmMEx87npdo8OjOrC1zCbDqItQTlpCujq/v/Uem6sRnnLEY+HU2v6cxb9HZFqqBwyGlZGTa8tT/mLIK7QFctJt9hgDg7HL2cGoQRnrvhPciaQrvA8w+xKjYj0MdBy5DIGfcA/4GjPinF/tWUFPEz7s+xbRJ0R01AHM4MGMtvWQyfyTRyvhBnpPRQvKQOINC6jPfuRKxCR8DPX7v/bk2hKo8OvAeURyEDWb2b4sb1/Br66oYeXMo197DKJsWjBYSWNG7SRCakK6OJKS2jNqW7FUkM/lbXAlHSJoqInMOSX5D6Zu6anoE1aeadpLcuCMjIWnSQE+4AgclcIKl1WOqvplmlvcWFgHR2mkpB2FxbKdOTbUEcWmDqlMPqKtmz5Ehj/r7TPyDQ6+StAQlAYMeaP79WysZfhbkpNyJoDRUNmww8SLmIHxVEZSgBO0/cP5m3kcOcn3u1Ge8NwU7htyP/4f3ar3B2WU8R0+eJ7DJ5yxRnKVFDeO5WcvYRVo9s89bq3qtEYgcAKRcCsSOZzi5ZC9JFMAGkFtUtu4GM2fj9jrOQvvc7EhKBKyVwIZreQE+8hajCGlz+VzGDxxgwnoCeZuBrbdxditgiQS6XUUb/T1/B87+qKGVcQNnMmavg0MUJuEcvofyE8CqC5T3ZAIGP8HvRW22NuRxVt8cVSqExv9HkhZfYa+jAZ0pSNEe7VL0Dsq5GYN4LFMAYK2mc270CKD7Vd7tPyCKJoTCiNBu52eRv5ni4TPfahNVaymwZBh/N91/C/S7i7qfjO9JJAu3MzKWvoBRLpOG4BvNPYDZHKMbBoP3xzAFUS/lrJmqLpCOwOoojbVULqs5uSWC2iF1dCZmtHS/tpZTnyNSS/mbWap+8hPpGByc4phaCu/teq0wBUoiIiC+O0FiBKEpPyHbHIju4QDJZ/RQ2aspaTrPXR05sVkpJK7I8NxMs66Ck7maQn4m7mAM9FwxFZLK6I7ezdtrtK+Iy6fdEDF/u8xpdyZUZrP82VoKjP+QmgVfYbPyj+esLxGPfS4b7ulIUELSGleB9escdobW6mr902hWDkUOomZF4LMASVpS5ioVP/ugXbVgIPGx1TSum3RgAtDvbkYx8jbIagvnPLzBxGoWcQGOm8jB+9j7wKYbKUI9b5nr/nf8lQ0gRbVIUAJw0T7O5n6ZwmOqGxYajEDSLP4GUufInjLCLbjrlcDkL7TfS/EBYNMtQN5q7eeFO/CAe7m8IEmpBgHTSDM3UAOx7S42kFTDpAiS+94BjH5Frq/Ko99JzirXY/W6kWmUkgOMYORtUH2eipal+7WcJWcv4/vteSOwWokoRQ7mAGsKBs5f7zioNQbHPwY23+QYSfJY2iuq1XrRmblwjyyRVr/PxJnAkIdlJ/umoq6KbQ72PSPTVqlzqPeK6Ns8x1BDEARn75mSg+7/U8HJTtqZIST+dhu/5+xV/B9paaCCuyheRMp/Kbyvb1GLmmKmCOt1M7uo+dGKChuMSp+pYY4RGk9mpnY7J0nOqShnouNOLO16Eo7CYndEx5P2qI1CTxXt+x8iBl7j79PxDzbdyAEwZgwwa6O2xbbdzpC3c6REEJSK9IYHbkuEU6RETVC6t4xZlKgoOm85kHSe43NfhjMSkjgDiBvLi1D+Zg4S7hA1lLPQ4n1MO6RdQfKTv5mv96VKwRCgVP5UuOo7jBZqMPI3AbADF+/nhdkZeRuBnyfwYjzPKQyfux5YNpmvn/wVsOdxnnfEAKY01E0MIwdRt9L9t0BIsutxslcCy88jgZzrJrWVvxX4ebxMK3gadP6fvesOs6I63++t23uDbbBL7x2kI4hYafZYMDHFFGOKiTHFqNGYHpNomjEBY2JHsSBYQZCOlKWXXWCXsr23u/fe+f3xztk5M3fmlt2l+Avf8/Cwe/e2mTlzznu+733fzx4DNKuqJEcMsKAMiE4lyNrxPT4+/ime15Jl4qSQZzHga8xcFS/jjtfsc8wagjYc0hRRxn5FNjswZw1l4KIhI0CwWL2ZZbt527rWT8fbAqy5WgJXdmD4g3RAPvxXZnUEgAvHlM8ZT8DSXi0BTic9iAqWUA0k9+kKNxQ/CdU7H9CyQiljmfnJmhn5+3U3fB6g8VAgfyagTKqGzcHyX/IILUsT35/ntlI1xavaFHiPRvfSl5YSB0defvF3kN9Uu4sEYAFqrOaS6F6BpaaEAZGRdn3tLL1ZlaVaT/Lv4YoDnPHBFVOxOdxoXUDE4ovA5dlUJH7uDOD4H0up1ewAVo0DoACXvkdkLju/yiAllFurkA3Lzq9yOcedcm7rsd4W4KV4AApw7VHuUMSEUrOdJZZQkTScBNJPv02gMfhelm+sFuWodFUeO4lgoGoL/VrMPDqswp3GicyVCJS9BkRnA/MPmfvBdDQAL6uk2+trNKmst4Wy9sbDQP7NXJAP/1nNHEnhSmaPpbTxwa9NRxPwShIXN7N+T03H2cjS38ZxcNUeAH6g6FF2MxZhcwcqpFzJbFZ5/AVKlQEClCH3AafeUbkzUlg1dZRj0RnrXa3iB06uBNYtNLyPjZmrPrcC27/OMoQ7BXCmUL6edSnPVSSZv5MrmRHqtOzPBWZ/qDey87YAh/4M7Pu5uYy6MxwwbT5p7NvkTqEfT+ESllXCuecq1pPXJe6J2Fxg1M8JZC+0XkEdDZKqSSo5WZk0OmLVflUjVFBiZ5+lmm3MzhgzJdGZkvx6FoF+V+YtRWE2TyYB1+5Ue4aZLI2OGH5HGdAkj+x6WRTgWG+vCp29Cdfh2+bUE4tNS1PZ54xYfBG4PA0k9pkBzF17vr/S2Qufh7sVmfha/E8O7KDcDRE2DlA5WyIDlJjs8z/JKQrLUrU7SQA9/JRKLLVQ9QDMNInJYs8j3KFF9+L72N3MDhhT9ADry6njNKCSPpHnw1PHssrRfwF+i9YO9iiCorg8/txRx1KLZa8ZG89x0nCSF8X/CYOAN/szg3DZOiBzGp++7Zu0pLdHQ8e9EeUJkREZ/hNg5CPhnFngnTE8r9NeprmcCE89sKKPOvnZgcvWat8DAOr2Ax9dzsnSKob9iJkHf4fG7+ioA94ayutg1p8ocRjPfcm/9I9HpQGLK0MvNitHMeVvcwNpE4Aqid/jiNGUVL2vASrXMDs36F5g3BPB3xdQLftvJPAE0Gk0OO4PgF29R7zNJDWXLgdOvWXuvhsA0hxqN+UR/O51u4ODuOjevFZDvmvuf9J4BNh5P78DoFd+fZbs8gVIMJKB6/dZE/ujMghootJ5f7Se4muMz4/KUIGMmpVJGtq9ec7brLoX75Q8Z3ZbbAxt5OTIpaaU0epc24ObwI6mwIyNEei0lUdALE41UUwZgI47tdvHcBG4PK065w5/EBj58Pn+Wl2LTtmwGQG2mAMwVBo6Ks28nBNXAMTldy0FfbbC71XTszv1Oxqr2m90L076KaNJtq39lP1p5nyg+nNsBI4+bf15Mdlc0JqOAvk3AVP+zZKOonCCPLWSHZAb9sPyPMf3AyY9Q2WG4I/I4anne9XvYauC9grzRn0ibE6+j7eJxN6sS3lsp1fqn5cyWpUwX08yrMi8XFVEABRObP0aCb6Dvg2MU71Q/F7gjQKNkzP1BaDPTYGvFf2iQkXuQmDKf1mq2f5tPdixu9kTytcGnHlXPX574GSaOYPgKVi0VRJs+Vq5cC1Wy6DFailJ9k4BgMw5QMUH/DkUD6xyI2X2InviTgMuXcWslqcWKHuTgOb0Kh6LiOhelDX3vhpoOgzs/7WmwglodmkD0qcC437Px4W/TNUmqReUIVzJNBzMvwlIGcHjPPxngkWbnZwgWfn1/yH8Xt6vRv5M01FYctZisnnP+Vo5ZxpNAaPSpJ5dM3n/dHfD5veRS6fznNllrcKKStNIwGJOSxx8dkm4fi83EValKfFzuH34HNGGbI0J0AlBLL4IXJ7LQaLtJAAbMPv9QD7EhRCKwolPzpjoAMrx8GXDsX3oWOltZClh2A/4+IVK0OpoYJdnYSJVuzM4IS5B9Zto2M+F4JJ/cEJuOUXOwsY7uNhblR2isrgb6CQV21gieXsoMwuX/Iu7FOH4GWByZ+NuLv8GTj5HVGfd+UcJBMM53ldSuCgvOEHAaOxhVL/HGtCI75A4hK6rvS/nBBuTQ6Jt0U/4FCugYRYlzwEbb6fqad5G2vKvGsfrAei9cOQoelT7PBHuFII0IznV5mIpRp78EocCg77BBVeQ56u2kOiq62WkxoCvmius5Nhyt3pNVE7JFds0cqvi571x5J/AsWWBr7U5OUcYeR9+P7D1bj347XMzz8upN5nVKP9IX2aMK9A6Radfol8AfW3knu19XDPpc8SQ2yCft8QhwNg/ANmqkqmtgjLhirUE0w0Hg/PP4vuzD1OfG7Q2D//fw9vMDYIw0xNZmk6ukSFsTvXctwTOF+5UgmVRWkoe0XOZ57YKzQVYABort2+7m3OOjjsz6tw2yFUUc48bI9AJxiPUhY2iDQvOTUNHMpLyJ/wPA5d/RiMx1sYJ0x4NLCztGhGvu+FtUWXDhmyJ+DnoQoVA2bBczokr0GTDex4Fdv+EZMtrDlw4aWFFYdlD3nXU7rSW4Trj1dS5lEpNGsbj+egqNkTMmc/FsGqzeb8cZxy5AC2l/Bx3GnBdJXDoSWD7N/mc1HEkKh59GkEJlFGZdEUdcp9W5301k1mg5BH0HwknhM9JfD9g/pHAv/s8lDMf+Zva2DDMFK4riZOqyAa4ElU1z9DQr208yrKU3Q3c0AB8vFjL7Ay8x7xz8fqbVVt99bNnvE6n3rZyltfq9gQSk+Uo+Dww+Z/mfzv4J+36yDHiUWDEj6zfs3YXsGosAUrmpTSvs/JrKXsT+Hi+yZvYmL0acDcXq4aDwAdzNMKzIxboexvBZdVG6MZL0nANrCSPDM9jpPifVPmIzJYjjpkAubwb3Ztlv/5f1L9eUYDT77N8WbMVQbOu8f21PkxpE3k/mWUG/79GW6WeCCzcgb1BxqgxXMmq8aOalUke2bOEVl9bYHuD2p3WnbXj+qpz5GgtQxPX9/z6v/jaJGKxkXMjfj4VUvDR0AIkfQn/w8DlaSAxLVtLzcUVANce0erRPRVCNmy0phcAxQrxyxHdy1DKkQBKbG5o8mDLSeDNgdw9TPkvjcnOR/g8dJyVb766XdYExdhc6eYbzRswvlB1V/VykZAt2XUuo2rY7GyE2KSCgTlradZmdwCvpDNzkrOAJoTHXwT2/cL8u9hc0PlcJA2n30jeIv1uq+wN4OMF/Hn2+/R2CCeEjLnfF4FJ6g5eUVjeKl7G/j/thiyPPUbj1Ez6J3daIjNTv0fdeVvwIaIyVXmpxJ9JGkbrehGKAizPIgjLWQicfJ2P58wHZq7Qv5/XA7w3Se0GDAKwK3YC7niWUj6Yre+MbBWpE8gpyZgS+LcPLwfOmEjAHTFcwAfdG5hmVhR+dsUaSrvzbyB5Nq4vML/YfDIX7sIAezEdf16v1AhohZAQuIikTSJQyV2kJ+ZGEr52egztfVzjQjkTeEy+JunzE4FB3wRG/JRzQfVWEm8rVd8gVwplzXW7Q6f17S5uCuTGkgkDzj+X7VyG4lfbeRjKTY2HQpPEAY7HtIlA76uA3nM4h/W0Mkd8R7nUVLvTmjPnSpLAzChtw3chUQEUP4FkEL+bhuoyJN3Z+D8MXJ4vQKK/hDdl42H+MZhnhVUYZcNGgNJyIvRg75QNFwYClJ6QDW+4neZM6VPohHkukHd7jT7dWbuTZRwzqZ7NSQKcLBVMGaWlsYXvgwAo1ZupErKahHOuZSo3bSIzJzt/SJ8QRyxwUzPry5XrgQ9m8fnOuMAdls0NwMdrJxOZU0aTF5W7wHwyf3Mw0HiQu+HFFvVqs1g1nsc0+TmWLY/9h4BFBmMxvYG+t3PxXT1Be7zfl4BJfw98T187wdDuH5PXkTSM5YRgEddHTwg++g/9a1LGAVdu07+m9QyJr+2qY2yvy9nhuGYTj+HEi/qFXhBv+95O4C74K3LkXQ+M/oXWP8xTR6BpprIRkTgEGP8nPVgsXU4g4ohmpjEqg47Ivhb2JkqbEPg+fi/wajpLhK5kOty+OzGEys7OTEzeYvJ2jCqs7oTPA5QsZQZGSINdSQTTHikFb3Mxo9qsZisdMSwJDf0+AWlHE1D6KnlZsg+O3U0g6200V5u4knmeBCk9bWJwX5L/r+FrY9mmE8yoCqdgJHSA1yW+kGA8ZwFl7Ger87Sn1qS9wV7reTdxsH5jmDz6/FQewoyLHJfjG5G46TIuWHEFGjlvwt+AAV/Wv6ijwcKavgRoOhambLivXiosS4fPpmxY+H4AwLytJAz2ZCh+ng9jqcfomyHClawnmKWM5oIjI/9OG3UBVLaYZ6ZciVqn3qg0druNSmfZR46Vo/m9onuxRFS5LnCCdsbzuggORVx/oFkq2aSM4Y42Z771tardA7wzgj+PfwoY+DXz5xnDUwe8kgpAYUO9ijUaAdUexaxOwRJKd0V2TXjSRGexWaIVV0l4lIx4iN+/6GdA0YPcpY94iJOukJm2njZ/DxGOWGDQd4HUkapRWn82Hnx/pgYi+93FsV68TMtyAQREuYtYTmk6wvJR4hACmLYKnt+6IoMNv5MlqRE/oRrHjOzrTqOUeuf9Gkk7/wZgzG/Z6f2tobxPh/2YLRQArZw15D6+1izK1wAfXMqfM2awRt+wz/rc2KMN1+kseF/4PCTY7n1Ma4roTuF1MZZEo7OB6a8CGZeYv1fTMaDk3wREclk2No/gxJkINB1UNwgmmbK4Pnogkzruwik/n+vw1Gogpm4XN1gNB4NnGF3JzIJlTKeDe+ros8c38nkIuIxztJWcPCZHPz8nj1Ldh89/1u0icKmvR2L9+9yNAdzBdNQDsHHy8TVrQMWYog8IG8saZtb08QVqu/fzcNEVP/DuFAKAwjtJMO1OeFu5wHVK+tT/rVrJxxXoJX0powJ7kfg8vJFEyadmi3njOpuTrxcTZdok3vjivBY/C2xawjrz7Pe5oAo3TWEupns/laTrSgVmr+LC+fHCwOdGZbJ0k3NtaHD53iygci0zONc3hC47KgqvTdEj5ObIkT6FSpb8GwPJdmc+AD68jD8bnWXl8NSy1OPvAK7ey6yWvwNYfQlLUDnXAjNWaMfVXq0nBFesZ93fMpzQ9RuKydXvPp1xzJwU3skMmLhWbZXsmSQiaShwxacEMPt+Qat/GcA4E1h6EqRgOTJnApetUSXpD1IOr/i5mGdMYzYnJps9ioQ/hsjCxOazqabxuvrayCPado8GEIwx4hGSnMtep2FevQRqYrLZQ6hgibmJYHfD30EAU/Qo0GLx/USkjGNzSqt+Q4rCtg8ly1gqlUtemTMINBOHaGXZ6s2U8Rt5MzYHwWy6fH8OuaDMy85pdHL3dnEMVm6gFD2Yv5MzgfdC+mRNAp849Ox4pCgKSzDGrHjTUYvvFkfujpwVTx5xzsHqReDy3s1IVE4GJznJ0SkbLgwEKBeabFiEUIU447krj+kd/mtby02MlA6a6/rtUSwt6Ab1yMDuxIrCG0Mu+dTuMPeTie9n2NGNsSYN+r3Aps+zHBabzwXb7JqmT2EqP3Mm8N4M8kP6f4WS0H2PsxGfMeZ+Ys63MEZbDbA8HYACDLwXGP+E9XNbytTd7jI9SHPG0dOk4A5rq/WOBuDtEVote8DXgQlPmj+3eCnPS9Jw4GoJgNTtIVnV32HdqK9+P8s/sjR02I+5s6/bA9R8Csuyjc3BrEvGNAJCUXaS+0utKFSznHa6N8slm5YyYN8vgcN/C5SminAlU80gukaLqN2l9mBarz02+HvA2F9pv3tbgeUZzLZevomLbUcjFTmly/m/GRiPVm3nz6xm9u6KbSwJKQozE8VLyYeRd7JpEwlg+tzcc+1FFIXfccd93EnL4UpRM2G79MZ/cYXA6F8Cfa63fl9vC4FY8TKVS6RO545Y3jeFS5gR9DbRNVluLGmWrXPGM8Mpk39jc7t79J/t8LaRZH/yDbYnaDpmPcYBAHaWS5NHSi0PhnN+PBugsKNRam8gSk1F5lk3m111Lh6tz6JH9zprFYSLwEX4uFhFVAa72CYMUGXDCUGefAFGRxPw1iCSj0f93LqRot9Hjk+n7FgdrFa9hqLSpRSi+n/iIHOCcFuVNLmpJR+z9GRUGpA6UZvgUicEr7P6O7hQiIxK5frAhcaVrO7ynUDZcgA24GYvsyANh4G3VGDQ51b+XZQ6bC6m39srKHu8rjK8bNmGO4Bj/+aifUMT4DSALG8LUPoawcqZ96FbFBzRPC+TnwMKbg3+OVu+woxEVDrLF5mzgMs+Mn+uUFmNeITlFjn2/hzY9SOep6v36DkZbRUEFr5m1VZ9IPlJU57nDn6t6jsihzOeu6/2muAuw2LSPfYsr2PiMOAaE1I1QGLe3sdpk28ESe508jvMSnKKwvJV5TrtsdyFwNjfA/F9+fsnnyPI6HU5S7ln3tNL7QN8VMBS1+RngfemsCyQNpH+MTKg9rVzYSpZRnAh+G12N8uMhUvoTdOVPlwA789PvwuUqx4zUWnAsJ/w/O97XNsxu1N5f9Zs15spRqUDQ1TDuWAZwZYybnxKlurBdWyelk2SwXVLmZ4oX7PVXJkTk63fkKSNv3AtGc5FKH6OpVOrOF5qtoWmHgDkLyUN1fduSh7B0nFPgwa/V1sjOjezO6y7oEdnBvZqslojIoyLwGVpIhJdIaTGsKmW9jJhVpIbn41B0lOx6yfA3kf5Xa/Zx8m1o0lD0yKTUldkQXK1EbQZ+2vE9DY/Zm8rB7MMVMwkzfYo7sLllHJ8YfDz6PPwhq5YA5SvpeNpwKSoOsQO+DrloUkjuCNZczUnBJksKxZ/OaIyCVb6f5Vy2YYDgc0YrcLvBV6KY+ZIVtwoCkFVyTLg+EuGNPxMlQ8xB1jRF4ACLDxp3jdIxOl3gY/UfjwT/koPkehMYLEJ/8dTS1m24gWu3g8kDQ78zu9O5nnNvgqY+RavgbeVRm3tlQBswKy3gdIVwNG/8RzK/Y5g5zH0v4vZLJuNYKTxcKD/TOMRWMpyY3ICFU6JQ7Q09MYlLI2YxZQXgb436h+r3gqsnsif+9wCnHiJAMIRzfERk021jlGFJsZ72ZsaPyEmh+P11Fv8fdYqqoRWjec5LvwCMOkf5uO3tZxqsOJlvN9ERGfRWr9gCbsLhxMtp2hnUPwvAAqB0KB7gWE/1EqJfi9w7L+874XgwJ1KcFu9SW9u5oilgm30LwNBthyKovWPOvY8s1wi0ier2aSbAsuZfh/BrpgLqjbzfAcIFWwsp8kl4OTh/7vdjRU/75mKtfQAqlgToi2EIaLS9b2bxM/daSNgFa1nTLLyh8yz8o5ofg+dAGNkxKD1InCpr0ditE8j3VZvZqnA74FljxBjOGJU0q2ZGqggsFRyrqLpmNpHpp0Tt79Dql+aXCJHrFa/FOm+5BHmvXIADsyGg/pJqW63+U47cbB+h5U8MjSj3ufh+4rW9ZUbAnch7lTNkjt1AnfBAK3f5WzN8mwuttlXAxP/zhLEoT9p5yF9Mm3wN95J4DLjDeCTm1SH1Uxg8ZnQ4HT3w8Ceh/jzwlIuIKK5n1wzjivgjrvgds2UTsinEwYC15pwe0R46oGVI1g3H/gNYNTjwMsJ5scMsP3A5i/wfF+1K/D9APIy3hnDMX/Jv9g5+e3B2qI38F5mNU68HFjOSx0HzF5DuXM44W0hGDz6DN1bQzYXtDEzkzQMKP8wSDnXRjLuxKcBdyIX2vemAVUbyM+Y8m965Gz/prU3UL8vAQO/Tq5R2XLtfQd8FRj3J/66PINZMWcCsLiKXKY1V/BeGP8kXx8sancSwBz7j97pOWWM2uzycyQTG8PbTGXYvl9p90D+TcDoxznPmIXfyz5Qe37GhQRgFjFnAe8rmWRsc1IhN+HPBMHBwtfGJpfFS4HTq6VsUhQzWoV3Ar3mWpcwvM0sMcqbG7MGio4YIHUss7Big3O+fUjOVyh+3qciu1yxxsTMzU6qgq8NlvdUXIEGZMS/hAE9DxC9LSpReade3WTlixNfKGXv1bUnNs/yWl8ELmYHfvItYO18AIrWu8TmBMb8hsRdncy5FCHt9N2p5oAmvpCZnJ7gxfg79Izx2l1MkVv1IYrJNqDe0aHrpa2nA9PAZsZ40Vl6/4fU8eG5OPra+b7i5qzaEJgFiko39A8ZppVwxA7bmH3w+4EXVP+VzJlqp1gp/d/ndmDKMj7+3hSi/4n/AD6RdvDXHLTmm4h4JZW7org+vL6y1NQZT4Jt4RJyPoxlp+3fAQ7+nlybiX+1/gzR0Tu+kKZ2zjhgRQHJo3PWBLq6fnQlLeZHPgoMD2LOtu9XVOS4Egkyq7eo39vEm0SErNCJJFrLgZXDSAIe/iCv85n3yetJGiJlaYoicNpUw+YE+n+ZLr+b7qDKZ8BX+P7GRpMiorOoVutzMxfiTsv+VNWyX+LdVG4A3pvKn7OvBWa9Aez/LXkmVs66ZuHvYFmgZClBgJCp2pxAztUEMdlXs0RX8iyl7CJTkj6ZPZ3SLZRCAZ/lo3pqzyNauceVTEBXu4Pnv3MOs3F8TvgLkDws9Hu3nlEl+0tNJPu38TjCfR+jgtBMkh2Vod8ApU/UGoz+L4WiMJNVvobzTMXawJKNzUmeid3NDJmVesju5j3fmZlR/4/N7VmQqPhpZilnZup2aeaKxnCnBPZqShwCONwXgYvlgQuHWbuLNz78XOwXlOprwj4PCZI6iXSJJpMOOfHa+L5WEumY7EAw4amz0OhbgJT4fpzkZDvoULuqjibWxeVdkZm02RHLXbdc8gmClHXhayMIEjuIqo2B5C/R6CxrFlPdSUOsuSaChJp1KTDnQ+3xE6/QbEyOpOHaRLvoNNsC7PwBMzF9bubjx1/gsbSUBt9NK35g90+ZmteFjSTGwjspkbXKXAFaI8MpzwN9bzZ/TmfHZJva0HA6HxdSZyPPo70aWN6LGbBQwMvvA96dxGtuDHcKJ7PKj7XHhv+UZn2RhqJQyVP2GsfivC3AwScImrKvAWa9qX9+WwWBzL5fmvu8RBI2J69H3mJKlY8+DRz4nbm3Rf5NNGk043/IJatZK8lV2XAby0FRGSTrxuWH/73aqznWipeyZCfClchFRcwhcQV0+c27vmsLit/Hctmen6l9tUAVZb8vU5p+8k19tjRxKF2RwzFPVBSCoOKlgSaJqeN5D/S5OXypr+Jnxk8m8NftMr9WCQP0JaaUURemSOJshqJw41qxVtv4GfmJNjdLxTHZBMTtlcziWKlBXUmB5abkET3fSqCtSl3Hdmkcy/r95pl7uwtIHIoG91AkzX3+InAJCMXPxa50uSSRBrX2l64M/4M6GiUr/+LAJoihLKVtTmYZHLEA/PweVrVOZ4IGTk6+QUBVeBf79QQLv5cDWN7t1O8JrFHa7MxwyDuepGHhk628rayxlwugYsh8AGpr+VkqUJkZWWt54To78Bs0IGsuJVHx8N/QaY2fOYOL7pGngRMv8NreUMe/vTWEN/+kpcD2r/PaDLibpNDcBbStl6PxCNP+Jc/qnSoTBnCi7ntbeAtYew2NzqBoIMoYnjrg7eFU8xg7Fe+4nx2Wjcqao88wQ5M8Crhqp/ln+73kzJQsI8CTWwhkX83jOP0hcPQv6oNq+XT0L2loFmmIpos2Jxf4lFEsG6wax6zU9TXmaeu3R0g7erW8lDCICrf4gQC81iUggO7CneVPiUNTtRn4eJFeeTPsJ2y4ajXu/D6Vy9RO6feCY/z5vWlcvFPG0uCxK/LVur0EU8f+o783onvxuhcuiUwVaPX9S19hBkbIt12JwIBvAB21tBSQ2zHE5FBx1/+u8N7f5yGfrGQpy3NiAbK7KL0vuBPIviLy8oSvjQubnPWVPYJE2N28zvI8lTDgf6vEpCgsD8qlJaPiy+5meT1lNLOOio/zX6fbtgW5PjZXTwQWXLSeBIu+do5NI3dGXYcvWv4HO/CORhIX6/dqLp8AMPrXwND7uv8lFIW7qaZilSuyhenx5hJ6XIRjjW5zcyJLHEBlRkIhF9RDf+KifO1hfc1c+ArImZSa7eYAKjZXv5NJHRcZucvbQnAiUplVmwKzQtG9NJCSOYus865OMEI9M/IxHmPxM/odWnx/YL7K23gth6n3rNnsEt1wkHwgu4tlok1LWPKZ+hIzEa5E4LpqnqcTL3Ghr/wk8DsM+zFt5yM5htLXgXWLmK69Zr/5czZ9nrvZ+P7kqsi+CbJ3zWVrtMc/nMcsxajHSN6Uo24Pj6HkOXPlmD2Wni+bv0CSMsBr1f8rwJ6HyWWY8Vr4xwhw4nx7GIG3rHBS/GpLgSrgsnVA5jT960SvJBE2F6Wjcf2A5qNaObcno9flzDYkDgr826GnKLUWIUBc83GSddurSLqd/O/IxkFbBVD0kOpf41Pl5IV8XwGsbHZmeAqWALnzu9dPSPHTQbfoYa2M5kyg2Z8zllw/mYfjSmJLgeEPhr9Zaaukaqt4KUGdiOhMKvkKlxBQdjXaqw0lps3mflvuFC7ScmbYjEv0/zUUhetCxRoNzBjNCu0unpvMmSTZR6XzNaJ3U12RtaGoUB0a+TNxfXvOu0xReC/U7UJD6SYkTfnFReBiGY1HgFUTWCN0JqrGQTbg8o3WZk6hoq1SQpG7NBt8s5YANhcX0OgslhoUP3klraWhHU4BDr6odA5KXztr+Wa1Y2eCauctbuyJwZUtZuFtYb1cZFSqNwemdmN6SxmVWT27E1qeA7Sd4m5e7BayLiUvwd9ODsW437OfzkvRABSClP53aRyPXnM5yZ14CRjyPZJfX03n9e81l7whUc6y2bnANR7hzs+VCNxgcm5DxfZvcZGw6m588i1g7bUAbMDcdeyxJEfNdi6YsltwWxXwWi+OqWsOEdi2VXERKVmmLwnJPJaoLJYkajaRHyLAc+p44LJPgNqtzCxEZzE7FO61UxQa+518gxmJeZv0O27hYjv8QWY75Nj/O2DHdxGUyBudSTDVcIhjL2M6MPa37AYue5w4YgkGGvYjNPHexvuh/5d4/ImDWI9fOZIE2b63MjNidwNX7qAstXwNTQEVH117h3wn9LnxtQEHnqA0XVyH3AXA6F+xvOepoylcyTK1caMarmSWXwqX8Ht29T5S/Mws73mEixPAMTHoHma19jyiJ5fb3Tz2sU+QCB1u1O5WVUn/0TtgJ49SM5SfC13CDnksCjd+urYgn5p3k48r0Oa69EkkSP+vuP4KL63O0tKaQK6Jzck1IXMWwUzGVM6rMgdN/JNVZnI446TWIbJcu3ug8SLHJZwDP7UaWHsVb3Cx23PGAQtPBb9xFT8XNaMroSxHlMOdGig7Thxsrb7xthKBikaNjUc4AVk12AoIGz8zoZ+WrZHl3qFk3t5mggKB4mu2mgCVHH1GJaF/z6dsm0q4ayxZpj2WNYfW9omDuJsHNJMxobQBgBtbKQN9dypB15jfA7t/xIVp6ktA7XaCCpl7kzSU6e6+txK8vJYNQKEvxpjHI//+K0dRjTX1RaCPQdLbXgOsHE6QOvi7wNjfBL7e2wK8FM/vsLick/+Rp4EtXyZLf+RDLGmdestAAr0GSJ8G7LqfC60zHphfQlOxtVdq79/3VmDKc/zZ1wa8nMj3mX9UU0WFCmGCaHcBV2zn5CWHKGulTwYu36A93loOvD9dUziZxcy3gd7zuEi9NxWAjZ+ROoZ/P/UOsPlL5h3CEwaTF9RwCDjylxD9xIRqo5U7ydG/okNvxVru5i/fwEyE6F5tswOXriafxiwUP7ktOx/Q7tmUsQRcWbPMX9NwUFOqyQtN4iBmYQpu77q5m+Kn8VzRI5ps2xnP0mvWbPr91GzVn4/e80gmj4TT4/eSBF28lEBWZGFtTvbvKbyTZcqeKj34PMwayCUmwfGRw+ag+k5XCg/Cqfv/FALwiWxM+ZrAdcTmIIAXm86MqfQ1UxTVkLJI/69hvzXvMjor0HsmaWjYwPEicAn3wPf9Gtj5fc0iHiB57Ro1xeptJhKV2dJ1u4PIv/oH9oGIhMVturPYbj5QojJJyHLG8bt7agh4zHYhcnTKvCWisL9NtYjeS7t4Yx00Nk/NqKhAJZQ3S3eiqZi71OJlUh3dDcz+QCs3HPgD8Om3ANiBz6nX7YO5QPn7mqdLaznwWm8ACpVjO+7TN1QUEd0bmPkGS2bimNbdQL6AzaUazoWQeBujvVrltwBYdCawaZ1ojJk4CLhihzVv4o1+PB9zPmSWafUlHBPGxpEpY7lD73MLAc9bg3lNbS7gqiI25ls7X38+rzmgl9yK9w7HKA+g98jbw7grMytbARyPK/ry/rpiB43VSpfrzePkSJ8GVK1n+WrxaS66qyeR3NrvLnqqyNFeC7wzOnAyjuvLUk/+9SzHlTxLX5M+t5IDdey/4TlqAwSJfW8h76tkKTlD7lTgiq2BAK9iPTs3CyAQm0uDSAGGQ4XfxxJe8TKWezpLZTYCpYIlKiG8CxkExU95/p6HtS7fzjh63/S5mQqnU6ug40Oljme20KxZZbBoryF4K1mmKdkAnrc+txDEyPdbT4WnnmNFtnIwK5l2ZqInSuKDCDPRn9VoOqYvLRnbXtgcvDZiU5o5Te/HIgzrBJARJSdLLpqNQhJjuSm+f4BA5SJwCffAFYWkwuMvMN0svBTiCpgRaTgEc2+UaKJKXefNkZE78AbUcrdYK5ai0kjUFLsGs7Sc4qcEUVZCicxNUwl7zZgZCBnD7uaCnjSElvgp49XMTZ/u1d+DReNRNpgreVYDkUnDWKcXnBURH15Ba/bYXHqrAMDLySyX5d8ETHuB5N2td6v28Q3onJBtDpqy9b4S2PY17givr9GundcDvBzHRT7/BmDaS5EfS+lrwLrF3G1cbZDrlq1gecVmZ8uBYPLXtfOpCsldRMKq3DMnOotE4cIlWqbD00CDuY46AHaqlKq3ELRBAeAgWGrYRyA0+31tQd3+bSqBgrUZEKEoLHOdepuL2+UbzfkR9fuB96ZrPDJjiA2DKNcW3MHrnzUHmPM+F/BNd3KhufawHgCW/AfYfJcG1N1pBCMyMI3vR7XR/l+znLmwjMfrbeVje3+uvT5+AJA+gfd8/V5rfo3NznvInQIMfUBtQBhHInWp6hPjjOPfBn+762WKjgaCpJJlQIWk/HImMINXsESV4Ee4+CsKMyJFD2v8FEcs1XX9vgrse4ygWt4AxRcyE5V/XeTHUb9f5V39W5+VFhnOgtu6T0y2CtGzR+bKVG8zd6+NydFzZVLHnx1jtwstmo9rNIDyNVpDYhE2OzdGIsOeMd3cw6yjSe2FVqQvOcl8Kjkc0UwSJA/vzNI0OAqQ1GvQReBiGn4vU7Oi1FOznRODFds6OlPtySJlUhIGRG5xHBF7fgxvIGH1DTv70SQNjewzAU6AFevVgfkRJytj6tzuBmALna0BeINb+deYybxDReMRytSPPad9r97zqBIqfRU48FsSC8f/UXvN8l6sp+csAGa+TgKkKB2N/yvQdIhkS+PxDP4OMPR+reYuMhoz32SJBdDUPLDRoK4r9flt3ySR2qgIaq9mlqKtHBjyfcpgzcLXTsCy8weBjdHcKSSI9p6nH4N+L/BGoUa0m/qC5ikCcCxdvomp+pWjOHnLUuvjL9GcL2UscKWJfFoOIVGXeSCA1tendDnN3nQNNW1Uf+UtBk6uJPAU/BaRCet7B9sFDPwmMOpR4M2B3DHLaidvG7D2Gs0WH3Z62Yx8hDyzXT9kiUq34bAD8AOzPwJ6zVLPl4lUPKY3Sfr5N3EnuuFzzJ64U9jLqDGIKkNE0jAVVEzlzz1hVNlUTLJ2ybP6hSW+H8FewR1au4NwQ1HIs9rzsHYOHLHkZA3+NsuSB5/Qc+eiMoChPyCvLFSTUWP4fbxmxUspmzdyygrvJAfobG2MOr+HUW25mQuumdoycagezESitvysRvMJVbGklpaM84/NzvWpMyMzPbiUurVcTwSu26NuDALB40VVkTjwjgaSx+RePXVFIRZodZKDXVVDTIn8i0TkVzBQb+yWPJKLi99LH5D6PYELd7Dw1NGKXqQCaz8NvCnjCzVyVtZMZlIAouaAbE2J5l8TSuZtdwGxfQIBjfg5Kk3bITYcpkfKsee079f7SnJYBEFaGK1N+CsNxwDVeM4JknCfZguATrBhEhnTWZqILwSuPaLfoYr2AHIX5peSuPtPmwzM22D+nqFi5UiOs2kvs1whQvTQSRwCXPmpfpJWFKa5O5v51Wp/cyYQFDYeNJcs+/3A6nFaCWDUL7g4VG/m77H5VC2JCebgk8D2e7hQXV3Ec9NSBryep/Zjqrf2p2kpo4S7ox4Y/Qtg8H0cb6XL+ZmyQsHuJomv9lOSZxccZbbj1fTAicuVyHN+ZjWvd/Nxgvb4fsxaOaIIxNZfr43DmByWEJMMKqH6A8Cn3+bY0X1GMr17+txMjtOO7/Lcjv8ju0+L7z7x7yTvGhVTQ+/nfX38RdXfJ4wpMTZPIjIOl1oedEFWrfh5rouX0vFY9urInMXsW971kWUKRFPHooc0vxlHDND/bo6zU+/Q+0rmEjliaQg46vHgLQWswlPP71+yVK/icyXx2hQsYSbyXEmddf5W6nwdzN9K11gy//+3JLulTMvIVKw14aXZuJkXVIKM6VrDUUXhJk1XVtpjmdG8CFzeuRaJnr3WdTdnvGSDP5rZlPYq4OP56q5fBS9RacCCU6E5Dq3lhoaDW80Z2VEZBCmdKH6CtUPkoT8D277OuvC1h627z3pqgYp1GkKu22kCVPpr/JTMmUBcXvDjMYtOmbcJoGkqUeWdIXajznguwL4WNtkTE3/GDO6Yje6kr+dzApHltGc+oMIDIB+j9GWWX0TYXcwaVG8GYvsCaeOYuRn6A1qpyyFM7ERJRyb4ztsOpI2N/Dy1VQLL1SyNINUCXNjXXUdgcPlGjTfQcpLgrXiZnlwYk8OdaMm/OEY8dTxf84sD7eCFWR1Aj5/Tq7SFJmM6MOcjfSZM8QMfzOFklDmDf7fZCVxayvi7GZFUUWiWd3oVlSkZU5kZktPBzjiW4nIXAzkq+f3VNP6/4Dg3Dx/P1+TOokTbay6VQi2lJDRvvIMbjBmvk9T5yed4rUX0v5sZo2A7//KPqO6q261/PLYPyxZKB23/W45TAaR4aXE/6y2NfHvsv8CGWzmuLt9CvtCO+/XZ0uE/YR8ruX9T3R5z4jDAcx3fzwBoRpDkHq4PireZY6p4GdsmiHvJGQfkXcfFP2tW+CRURSFI2fOwxktxRGsApn4fsP1evVOxzUnOzfg/B2+cGiwaDkvEZNk3aSCBWN/buzZfdTcichSXiL9pE3rezO1CipZTmodM+Rqt7YQc7nQCWk+Dqtg1CUc0M1iSEV6Dve//eKnoaak7dGyuvldCymiVXGpyQ8ukT8GJyJgOzJVqzN6WQPdZy54c4/SDOq5PeOjcUwu8OYClBaO7a3sNMwidGZWdCNj5JQzQZ1TORbt5v48TdQCgUf+3Ul3JEZ0pNbnMBg7+jo9f8SkneJsTWHe91hHaeNyZs4Dpr5AgWfIsSzXF/2Ra+opPNUWKCNkkbmEZ/X1aSjk+5htSpOHGiVeZFZCbOLZVcufeXknuw/CfEGyVLGXnYgE0HdFc8AuXkOfh9wAvx2t/Tx1PUqgcW74KHPkrf86YwbEpjMaCtRpoKmZmyNsMjPsDvTzW38idsFnH8Y4mmgEeMXk/dwoX7rzFBCDGbMLqyTQpnPQMd9jF/9SAS0w2x8bQ++mkC9DQ7OSbPAcjH6P6T1ibu1PpbBuubYHiJyDd8iUEjBebmxwUscnImU9pvUy6lV2BZVJ0dBbBW+XHzBTM2xLoYuypJeFdB2iKQtu0GzM0cX2CA5DmE+SQlCzT74hj81lGKlxCUBROKArVQUUP85oBHJf9vsxr1FEPbLlbJViL82nj2Jv4F/LiuhKKn/NZ8VJuKDozcja6/HYSky0ygWc7Onu4SfN+7S6LHm6DDI0lR4bu4fZZic5Gq2oWpXor16D2CuvX2N3MPKaOo19RxlTTVjQXyblbHkNi3iUEK+HaUQO8aTfdyUXPHqWVlLKvIes8aBfUofqST9Kwrje5Eh4gScOYCq/aIGVUdiNgAk4cpAGVzJkXFkO+fj/tyI+/gM7vnTyCWS5fq0YctvIM6Ayb6uUildtcyTRVOr2Sv199gDLw5VlcHIb9BNj7M2acrj1kDhpXTeRuatiPSA4GzCXM4ca2e4BDT2pOvwCw/iZ6yMQVkBRb+qqeO5AxjRNz/g2BnIg3Bmi7+9G/AoZ+T/vb3l8Au1SAEVfAHavi47ka90dg0DcQNA7/Bdj6NYKIK3dRWv3pdzSb/vYaAojS5VzM5BJrTG+ShvMWM2sTbKzvfpBjIP9GZkHkDI3oKTT2d/xs2RQy/0aeNxF51wNTn+8az2DDHcCxf0O3KRFhc3FzMObXge/dfILEZdGg0eZk9m7o9zlHfDibYCxxCH1sQnXEFelzY3amfo91KdYZJ+1OJUAT3Us/phWFnjAly1jO0o2xqeoYuzE83o2iEFQXPaT5zNijWEIb+gNe761fp9RaXryThhMI95od+jOsoqOR90jxsiC9waaf/xKNt1XlLW7WwIxZlt8epfEWRbY9vt/5//7BQhCbZeVQXRGzopZy6F4E784EAk/hLm+MpOFSy5cZnVnpi8ClqwfeUsayy6ffMZfRiYjJ0Q/C1PGRK4qsouIT4P0ZAPxcjIwsb4CTpHzhzxYrvztRt5eL1YmX0AlYchfSjMyY+QBYCpEzNGUr1F2dyUJjFYmDufut3qx2xR7OyWTwd+ijYRY7f0guhTuVYMedQpVRV+Pt4UynT3uFKgxR8jNGXB+NWBlsN/zRFQQNAP1YBAmz5D/Axtv4s9y+wuYCLn0nzF40fuDDy0mazJhKYPTeVC6UaZdw0TCC9JhsKq3SJ4dfhqj4GHh/pvY9O11xpazZuD/SJ8UZT+6GI07LHDnjyBfKvjK8zzOLU6uANSFeH19Il+SC2/j99j4OHPi9gRPnYNZLjOHWM2xt0HqK5NLpy7vmEaL4CZKMgCaYb4Y7VQ9kkoYT4ESlclEtW0EQc+ZdQ1ZvEcmwWXNCk+kVhc0s9zys8VHsbnbdHvYDlgV2PUCumMxbismhTL5wSeTnQo6mY2opaZkeFHR2Y7/DupP2+Yi2ykClqFmGzZ1qKDFN7Hq5rbvhqQtUA9XtCWJAF6+NObmJo9n3b6vg/V++hvOJWVPUpKFA5iw0xExA0ojPXwQuQaOjgdI4OfUXtJzhYKq792VAbE7PfWndhV2r78YqQr2wnRkVoy/IhRR1e+jKeeIVaIBlETDiQZbpgoWi8FoULwOK/6VfMFLHAakTaSgGANnzWT+tXB+aWwMQkJgpodrKmWUTMeJhfteuhKxuGvcks0xV67W/O+OYNShcwusYzgInpN9RGcB1ajq2fA05KvBr5okAM1BXbGPWKdxoPg68NYwgIbYP+R5yJI+kEdnJt7joXbkrdEdtY/g8wKupWkYhKoNZl6h08qaShgK95rGTtjGy5gAz3+oaCVSE4geO/APY+hXpfS/j+Or0lJFAlDuNYEF4vWTOohfQvl/Q3yd5BDBvm5b+r9rCzYa/HRjxEAnmPRV+r2rRLgGa+j1M11tZG8Rk68FMdBYJ0sef10vqY3II0gqWhC7xKAq5NEUPa+fM7qa/ztAH+F4Hn+A5Cmgp8C1g+I+7p8hRFN7rJcuogJN9eDJnUFqdf33PbSB7KoSbrSzUqN1hDkbjCw2NJUd3jcRtFb52ZkxkQ7n6IutOzjbVPkHXw2hE6NJlsGir5Hp35j0CUomke5Gcazxwfwdvep0Ebj8Ca94OXpi0SVzo9v9GvyjG9QWuPRq5FFCO1nJNblaxRj+RyNHnViBvoS6VdkFHXRHdOUtf0R7Lu44ZlpSRwV/bUqbV6HUSWlBpNO73vIH2/RbYeR+v0y1eVWHkAuCnvLjXZZSwtldpzfpkc8FwIv9zQGJ/veQ7JieMnamfGaaihxCQJXLGAWP/APS5KXJviLeGctcd1xdYUMJxu3KUClakxTZ+AHk87jDeX1F4vcpeYxnISF4FKAke9ShLIytHMAsy9vfA4G9F9v1FfHS1VtITbQeSRnDi7HcXULcfqJZUXPYobhTCMcMLFjU72IOoSnpv4RMDMBOz4z7znaDNSfXMmN8Bzig9V2nYj4FRP9OeKyTiAAnFuQu6971Dha9NXYQM5SYzvh0PhmMoNpeZkYYD+tJU2kQCmD43WwsBAI6dijUc58Jfxu4iKXzYAwS5J16lsaecIbFH0Xdo7BPhjdFg4W2hV1LJMmaDxD3giGXpsvBOlmQvVHdcn4cqU0H+rdkSOO8BHH8po/SZmcRBoY9L8bNMowMoe9QmixZzYWyePnuSPFx1eI/q9uECIGiq3qJRHqo2BCiLGnwpSLqj9n8YuJzchcSO/dqgqPnU3FAqrq9+UKSO1RtGHf4rsPWr0C0QkZqStZ7R946Qe6yISB5BclvZa8z6DLmP9fbPQtTuYoZFmG8BPEfDfxJoAS+H5eQTQ8Bz6h1yHeZ+QhM8APjgMpY1YvOBhcfpBPqxukBcX0ti7cqRzAz0uoxZgmE/Yk1e1FtlQ77mEqDhKOA3MaSSw1Tmrf4PG3DqTQIv2YUyKpOENZuTpYVQ2SazaD2juv+CO9drDgJv9gvkQvSaR8JqMECt+DlxlC7nP50/g51KCE8N+xq1l5PYO+HPwIdzudPOmM5mj11dDHY8AOz/hf6x5DFA3Q66qR5/Xns8ZRyBRXfUGe01lPEe+WtgZiIqA1h0SssAHHuBKiaRubK7CK7Erj6uD52BC+4k52f99ao6bBOQNl573233Aof+yFT6vM1d813qbnQ0cDNkBDRyHyFdGEjuNifvnf53AzlXB8+SlK9hBkbwUOwuoPDzPFdxfTj/bvu63isHdnaRnvCXyFoKWEVzKVV5xk1PbJ5ail3Cnl4Xenhq1QqAtLluMyG8uhL1jSXj+xFI60DKXr1UXvf6JH32RICUnlZC+dp4HKKSULVB32IFYMa1U0QyCw22XCQlp/wPAxdZVSTClaxvvpU6IXTJRVHo9XH0aX1KfsJfgAF3m79GlotVrDVB0jam37NmqaWfGSQQH3iC3hNRGZQ/94Rx1dmMmh0ELGWvqw/YJMAy3Pw14aZ7FR/wiioTv75Wu6lezeRNmrcYmP4q8PFigj13KnB9NVD0M6DoQS7kFWuYur9yV/CMj1hsAKbV+96q97JpOW7uvxMssubwpvU2chIf9Vhkrxdh7FjsTgc8BmflYPwdfwd3xaXLeZ3kUqg9iiZ2eYtpvudtYf8kIflMHknwsu3r3MletSt8ZYpZCGdeETYXF0XjhqLgTmDyv7r+OYofOPpP8i6EC7U7hQtD9tUkmnpqSHp3JQMbbtYrcVLHAzPe4P135G9s1Cn4brH5zCqc+ZDS7KShzHKJXam/g5yhijVU9s3bcuFIY9sqDc6mKqAxk/iKsDkpS+49D+g9l/eHWQuT8rXkwJR/pL2u8E6O/fgCoOk4XaxPvwt9S4EJakuB8eh2yGXm4y/o+Rnpk/l98m+8cK5HqFAUku1Fialqg3VjSbOwu8mFNFrtx+ScHVKwrw2o2iQBlY2B3zU6UzKum8n7R/ouF8m5MnCxOcix6HsrTY1iekX2pr524INLeSE6OxTb6RiaMpI+HOJiVawJYtCjkmllgx4RbZWUP3fUa+ZXF2rUfKoClhXqAzaWQIb/xHqH2Umwe1a/048rUOWad+glqJUbSBKNyQEWqfVX2XjukqXkibyaxaxG9lXArLfZTblmO9PWxc8wrXr1fusb1e9nc0FBAnXEkpgrp0eFzLvxCHD6HTbnbNgXWfkpKkNrcmnk2cTlWyty3p9J4OFKAzqqDX+0s3dPv8/rH/a2sn5c9hozUjIx0JlAkJK3iCU4Y9lKNEUEANhUj5VmVaF0T/jHaxZCEi1CZKTksLmBW8KcmM2ieiuVLqJXUNIwZlOL/0nwcvVeKpyO/oMtLdpOa6+NzaMvUNYM/Xt6W0k83f9LrXN7TG/Kw72Ngf5AbZUchy0neI5nvhm5m/S5CqEckYFM1Rag6bD1+BYeWMkjJB7NMLYgqVjHDIxwNbY5eZ8O+yHHvqeBdhPH/mNozdCfHKK8Hiqv+do49kuW0XNIZNzsURz7BUso278Qr4vfRxWhXOKpK+L8E47hIQCqXIerWRk1M5M0rGeP19vKNVGse1WbTYBKlr7HXeLgoKDpInB57RIktu8yLw/F5ullyyljQ/MOWk+rygFporO5uOiYWSInj9a6bWZOszaZEyG8OFJGk/R3Id5QNds5KZ18U33AxhT/8B+bE/s6msh3MZU03sAdUMY089KD6ILc63JgtqqoOfUOzc8A4EYVaLykejpM+S/fa0U+v1evy0loHf4TGttZhXCQBTQZrtF8reGQ2mvlWZPOvXdqGaLiZVQnORPUTJJNVchIWSWzsNk5JuXyU3wB32fdQj7HlazfQdqjWUrJmMrfOxpoo1+2nC6ocikpKp1qrtxFVBoFq1nLBnMiMmeyyWN3+AKtp9Vu2yEiYyowd33o5xmjrUq1+v8HAIXnbuTD3CS8N4WZkCn/AXKvBz6+liobEc54YMxvgQFfDv4Z3la+/75fGEj8NvaEypyuPVSzg8Db10ri6uifR35M5zP8PmaKj/2bAKDhAEIq+6KzNCBjj2azSGFkZ3NwgzLsRySO+73c/Bz8gz7jE5XB5wy8p3s8QjlaTxMoFS/TCx9ietPcrnDJ+SnpKQozeQHdl/cFllRERGVIgFEQZfNVf5nNGmfGzPjQGaf6iknk30gaAHtbCFTEJr16cyDBOKa3rvSDhIERZXcuApf6eiTGx3Kgyu6H9XsRSMi1cyDo2p5L6FQ0oTrxkuZOany9rgnVtMjSkU0lwJv9uSuYsybQPfZ8R/VWAhZx7DY7AcuwHwNJg81f4+9gh2KZnJc1m2Alb3FoEynhYzPo28C43/GxTV+g0siVSEv6TtBhA272sKRy5G9c+FtP8qa6qsi6bAUAy7O5604YTH7T8f9ydzjke/TBKF6qzxK4ktkpuGAJx4mufYAKPoX/z8ifEdQZZd7yz80l1pOUVTjiSJJN6MfxfHoVOULyJBKbSyO7vMUEA5GoOVrKgBWFLIva3cA1+wO7IEcaR/7OkqtZlsWVAnTU8mf5eocTfh9w9O/Arh9pLRL63g6M+RXLr6sn0mcjdyHbCez5qf585y6mzDqSRdLXRoXSvsc1AOOIZalSbuFw7HkSxQE9T+uzGO3VPJ7if2qNGQEupK6EIJ2BwXPSec7t5M2MehxIHsaHjjwDFP3U0FIgji0+Rj4eeWd2q1AUfvfipbzP26UMZuoEtbv6zZH5foUbHY1qRstAlpW/gxyOGK5BRi5KuGrSlpP69gXVW805L9G9AhtLCoqCt5mZb0F5qN4SWDKPyVYzKrO49iUM6FYZ6mwAl27o2M5T2J2aU25/dTfV0ai63hrQad1u/jv6D/W1bmZJfG16EyezKPwyMOkv3fieblX54rcmVJ2PqNrCuvUpVQlis1PpNPzHYchhbYFGXG0VJAh2NIYGLkLhISY3AKhUTbASVbAkjMli83itT6hqJk8dF/HEIbz5reLUe1qpYMyv+d2O/5eE7P2/1dKeNgdr/IV30tHVqgmcqO/727mzGXo/f3cn0/PDzLtG7LrMekOZ1YgBlm62mmQHnPE8XiGZjy+k50ukEtTYXEpki/9FQNdd0AIApa/zfxm0iMxUR63GH0sOcr2MUbmR/BuxkCaPosu0aA1R9DBBizOeTUY7uVggV6XlBBepSHf23haOFfle9bWwBDXmV9pjAkjZ7FyIPsvhqeUxGxfazJnA9JeZXW3YH0gIbj1lAOZ+ZmxPvqn2prqE/JNxTwDt9Wyo2rifY/zA74CDf2RGc9xTQHQQpVM4YbNxc5I6lmWpU28zk3rybZYWa7aSY5gznxuT7CsiNxD1d6gNfA1lHpm0r/tOdi72stw4aTjvue5k3WNzgNhFLIsBagbtgN76o243556yFfqyvzuV36u9GgFZtthcfUblQjfRw2cx4xIOYhNOk8f+qzaQOkKZplk44oCUERwENVuhk7xOf7179dkd3wf2/5qptauKzq89dNUmTvqiXGBzUMY47EeRsfP9XnItipdx0YgECLyWzRTv5RvJSwKAF6L5HiL1/lICF4+CJSwHreijf4/hPwVGPmT9/d4eyR2QOwXo90XuxGT/iaTh/I59bw3Ni5JLIXY3cMX24JmeUNFyEng9t+uvlyMmO1AJJfg2VjLv6m3A6gk8N9dVda9MVL6GHDE58m8CTryo/S6M6eTrbRWt5cCuH/B6ideOfJRkeQHSanaQZ2KceJNHAlNfAlrL2O8qKg1YdDq8Baq9mmZ0B/+olf+ShpNfJbqJz/0EyJhMXtIHc8iHG/NrqgQ/a+Gp5+agZJlJI8Sb1EaIk4MvXO013IQIMFO1gf9b+S7Z3Ryfnhr9vQhwwZzw18CGmt2NtkrO/yXL9Nmk6Exu1AqXUJIshyDO1kmGbfXCVdaCyN/prSOBlK422+yJaC2nGuvU22xE7LHI/tgcVN9mzqD3UcYlvEZnAbBcLBVZHbiicDdbsUbreGnsAmpzcucam8vnt5apbc+DkTHtwKw3yK3ois1/RwPJuW0VtD4f/O3I36O7UbmBgEXU/20OoOB2tS7dDTUJwB3bcXUSFPbhAEsvfW4mQBClF08t8Iq6u7qhnjuz5hMaMLlqD9PT4ve5GyilPfQn/Wdetcd6B1+1DXh3QuDjwvNl9K+42IR7cx78M7Bddccd9TgdRbsaigK8Nx2o+sT872mTuHDkLiJ/RSfzNsi9Q2Xw7C5mH4ydvGPygI8uI0fj6v3WJcFg4fezlHf4z9LnuZkNG/kosPvHfCxxKOv6gHa9Td/Py/fa/aCWBS38Aomxss9Ra4UqGZeOPboXcMk/Neddv5dAs70SuHQ10Pty6+Noq+Lu/9CftPdMHkl/orxFBHUbl5ADlTCQZNz3pvG9+9xCbs0FvivtDL+PxNripSR3i2yJzc65rWAJ/Wm6s9h2NnN8ROteDoTvtxTdGxjyXW4oorN69tzW7uYcdew5vRQ5vj/BiyOOxNlgaixnguYo25lJGX52SlCRREcDM4+i9FOzPfB8x+YxA+SMV/tsFVk0C07XFLppk9hYsgeO7yJwEQeuKMyiiItVviaQuGR38QIImVbGlMBShreFaFyWppm2PY9We1JI5N9w0emRf7ARnCuJcujojC6ehQij8hMVsLzH320OTlDDfhiZA2u40XBQ6gZrQnZNGAisv4430cIT/Nvex0m+tDmBWzo0TxCbC7jFA7zehzsgUXJwxgE3GhZtfwcnzOKlatlADGcHkHstj/nMe1wc+9/NhnHhhKIQRLWUcoFcWBp5ecbvI6ArXU5lj66jqo0La+1OputDLbTy92qvNgc0kci8Y3JY+tJla9SfrUjtDYfZw0e+vpmXkrDpjKdPT8kyPj72D8Cn9+qvtzEqPiaHqa6Iv6eMBSY8pc/O+P3sXnz4Keg8gUb93Nw0T3CS+t1FdZYx2ipZujj0pEZ2ThlNwJK7QJ+F8tSy1UPrKY3HkzKaGRjZF+pCjfr9KgH9Of38mDSU90Xf285O/7PqbQQwMuE/YzrLqm0VqmlakCyGM55jU9fDaVhoMYRZ+Np4HuqKgLqd3NjW77POwMNBUYJc4ul0lb0AgKqnntYTFWu47tV+GuhnFFcg2XLM1NqJiFAUqmR1jSV3Wrj+9pfa4ExSgV5kbtcXgcunTyCxZTPBitHG3+7iiRUyrfTJXes4evo9YO011n1ERISLTv0+pudrdwTv6ttTYSpdvFPzXjjb4fdxIStexoZqnQowGwCFk8Dlmzjxv38pb0DhHivKPEnDgbkbgVcS+NL4AZRy2uzAdTUkmtXuJFg59t/A9HP6FLqcCpBY9ibw8XzWbucfCe84jv4T2HwXfx73p9CNDUX4POTFlKkeK2ZmU4V3AWN/Q57MuusIbHoqI+f38d4wAprObt4mygRjCJm3DGgq1nPHKsCDsBDofzeBQvbVBMsddQQgA75C4m7vK9hjSY6WU3RgPfYf/u5OJRDp90V9ievwX9i5WlZTZc0BLl1lDSLPfAh8OIfvufiMliltq6Rj9uGnJMAyhjb+OfOtF6WTb3M+ALj5uGoXF7ELNdpr6HdSskxT/wBc9Pt8jiWS1PHnZhE2s1jIv5GqwMSBXDxrdxPUV34ces6NyZGAjJrxSBzCuUTxc3zLJZ66IrWFgkXGx5UCQNFnH9ypQN/PEdiljjv/YMVTxzldbNJrdwQClfh+Uo+7mV0zAPS103RUNsoLsAAB76fk0XrvtIQBQcvOF4GL7ONid3NnJkhF6Zf03C6o5Dlg4+36x/Jv4kIYNjqdyN2ZI5oD7/0ZvLhX7Ahtld+VMDWL+rwKWPr2/OeFEx0NJNeWLNNsxAGmXfvcxFp7RwPP7bQXgOfdzKwM+QHgTmQ2BjYuUmJ31vd22mrLdvbRWdwR1xcBsAPX1+vtxzsaaXyn+ID5xaEBXPMJ7rQF50E2yzMLbzMbJpYup6uvjvgtcaYAIGEIcO0+7XfRYdkqQ9DTceJlYP2NdAwedr8B2BRr5NNg4Uxk9sgexcWkuRjofZVm/X/pe9xtH/ojMPi7BGkAr+HBP9JW3tsEwEaC/ajH9KD/zId0vDWCrOwFwKzXg383vxd4PYeAcdYq7vL3/5pNMUWzwJSxKmC5NvTCdOD3bM4K8FivPXThZVv8XnLXipcBJ9/Q5iabg1ydgiX0+ekpm/dIw9TU8npmuWTO2PGXyAvU9dWys4Rl1WEb4DhUvNYAxZ1iKPGMIG1AKG06M1P/1m+Ik4bx3BXcdu4a3rbXsGeUoDzU7kSAYjZhgFZJyJpJ+sPZ+i7VW6XMzGbN/FEOVzI37rKCV1JKXQQuMnBJGcPdXNYs7rAj7RUTKj79LmvgndbZEkkvInQ6ihezegvJv5mzVP+MHkLy5WtM7Lm/oPYXuYB2hqunsmeNaMAnR9715A2sv46/LzgGrLmaHKToLJZSBI9ChN3N1H7BEiBrLvBKEtO/veYBs1chIN6bxozAxL9pajSzUBTgo3laiS15DHDVp4HP89QSpJS+xkVD9haKzuKCUfom0GE4VmP25viLwCc3U4kxbyPOenQ2jLTRlM8IyDz1Wnam5N+G8psNAZOoWSQMZDnLU01vn/ybmBU78AT7TAG8J8Y/qXdXbSoB1l3P9LcI4cMTnQlctTe8Trtbv8ZsTdIwgjFxbVLHE7BkXx3e/XfmfY4Fxa957gy6l2qZCyE6uRv/0Vv/J49SZcCfu7Aat5q1Ecm7ns1P5TYiVZtpOFi7Xf96VxLBSTgqTZudnK6UUZRFpwhlT4F1dsDv4zUvWWbCBZrHc5q7IOJSSdBor9YyKuVr1A2ZEagM1Jd+erIZcCShKOTeyb2YarabWz/E9ekEMQ3u4Ujqf8X/MHB59yYkNpvwUGxOTkrCyS9jave7ifq9wJor1X476oTtiGUvFDPb/nDRKcCJJecaU3QaVlg1ROv3RTp+9kSvkJ6O5b0p05u7gQBkz8+0cpYc9ihgYTmwPBXMVBgyFjYH/U763qo5Fe/7NUsPAHDtEXMOT9HDPF+helIJbxJBKpQzBq2qzLB0Ofv8GBt15qkeK64kYNUlgN+4S7QBi07qd291e9js0JUIXF93blLTb/SnweKsVUD2vMC/exqozhFOtTYHpaaD7uU5WDWW1zJzNlDxYfgETL4ZeS+p4zTScHQvAo3yD9E5aUelAYO/D+x+gMBh+nJNBhosWs8A2+7RNwVNncDuztlXhn9+m0qoYPLUqLbyN3E+AM6vL5OVWiYqg/dE4ZKu9c86l1G7m/e/fI16zeU/b6NW7mkqhiVQlseQM573Yms5CeF1e6wNIh2x5PiIkpPg0cRk68eGUF8VL9U38nQlS+qrSyK/X9uqWBYThm9mjVATB+szKucq29OVMDY6Pr06gMZxsTv0um8hMWcid13NJ7QB0GIg/9kcHNSijJQ5zVrVECzaq4FVE7gDFZE4mOZdocIMnVZtNpcMSuiUTSHHmaejLVvQC8CSF/kxnotorwFeVUsBNzQQVG5YAhx7lhNJ+mQDiDHZ2Rd+ETj5OsGgkcgqeh0ljQCuNpkIAK3dgDsVWFxhLhduPq6WiJq0zNDEp1nOKlvO95C/V9IwDawkj+IkdnIlG0TK1zl9KtVEmTPoxiqHz0OnYMULLDhxbq7hhtvJVzGTlh9/kWoaIXOPHwBc9qGWjq7dCbwzhgTZ/ncDB3+v7/c1+LvcOKxbzN8j7eINcFHKmEq+maeavJZLngFicq19MFpPA/t+SbNCeQc44mFyKiJZYLzNwLtTuKikTgDmfsxd9uYvs79ZfCF7ZfV0ltcqfB69P4kYW3YXy10FSwjKuqJ8PJehKFzUBDCp+JhEUzOFi4joTPJY2iqAxkP6sRQ/gJuK3PmBn9NSGug/U7/PuieQK1niz0j/R6WRlF7yLM+/vGlOGEig2Pd26/u2rYLHKUQkssuviMQhkiP7jMjb15yv8LYSPMskXxPTwoY2N5Lu8vwPAxe5VOSIUeuVozjR+dsJFCo36IEGYHDBnaW64JpkTcyidjfw7mStPg50vWFcey3w1iAusinjAH8r66sBrr8OqSfFRCB1Iuv9ex/VvBfsUex9NPT+s1fj7KkQHB/R/RkA3lTJeWmXAAO/HsgpkiMqE7j8EzbGO/o0MOBrVJ8A+k7Ss9+n/b1Z+DuAV9K4E5u3NbABnOLXOiYnDTefYABej7zFlC0bDfv2/RrYeT901zP7Gl7v6s0sjQz8euB7vjWURl+z3qFB1tmOQ3+myZvcesHbxvPYaZtvU/v1/Fz/WpG5yplPdZEo69hdPMdzPiQpc4fkcZIxlceeMID9rZpLgGMvAqUvhSZkymFzEuTrWigkAZVrOA7EopQ+mY0rT73JbMklEdyrigJ8chO5QNFZwBXbtPurowF4ewQ3SgO+Dkx4Mvz3jTSCOsKOV1VBt5x/Oa5VeOo1ozbZXdaKQ2UEuOlTCDp7X6Y95vfSjffgk3qFXlQmDTQHfD248aDfy4VVBjN1ewIBkRzRvaTszFCCyKpPmHntXBNsnHcKlnCTUrtNzaisIVgyRtIwLZuSMePCKudZheIPbEFQt9t8I544SN2Iq6Uie18kpWb8DwOXD+9CYsc+njArslZ8f1WzHsuJpuGgSUbGTo5MZ0fL6cHJl4LQKMfk54CCWyM/mJJ/k3jojFeJfnFq23OpxCT3TgoIB7MNIx8mIeqzEIf/Cmz9KpvTXbqSk/ILbg56YaUvInUSULMNgA8BmRfhDRKTDSws4y76zcHkTUT3BhYblGbGWLuA5EWjJ4uiADt/oBmOyZ9ps3OcEyYkuwAA6DJJREFU5C4G8hZag0SRQZIjZSy7Xb9RwPdddMp8N7XuBqbNx/yGXhZnO2p2sNzjSiTx+MyHwLpFGncgujcw+z1zv5x3xnJBHfsHNtbTgW4bS6BCBmt3k3Dc9zYt41G5kZb5suto+jRg6guAM5oLy6nV7AYOhWUPbzOfH1LmbSc4Th7OcVX2Kj065n7M3XE4GZK9v2AHaruL/a1E3ygRZ94nwAXYibrX7NDvGUm0nmE2zLQHz21cHCNxIj7b4fPw/jP25jHOuSJsDs7PRrJsfAEl0nsepSpKjKuca8lLSh2nf5/DfyeAlhtqOuOA/l8FRj4WWUsBXzvXCSOgMW6A5YjNJ+m3vSq0Ui95hLTWzDh3lhjdidbT+rY6NVvNPW6is/Q2IanjA9bSi+TcTh8XP9B4lLr82p0kfdXutB5A7mQgOlu1PK7UE9kAoLPT8ywVBU8P7PS884fsY9L5EgdNvCJxnQX43d+dzMFQ+HkaaBmjuZRci6PP6G9MY8Rk65ncaeO7VhI727HtHvpm9P8yb/ij/9AvXPZoEmvdqVzohSOrkNxmTGOdWZYB9p5HMLH1K/x9/FPAwK8F/x6iD1LWbJabKteTr3LiZXI2tC8EwM/PmPxccEKo38sSlCw9BXic848CB5+gpDdzFnDZR+bvsfshKsKsxkNPh98LvJJMQND7Cn3zxX5fBCb8zXznKgwDbXZg/F+0c592idr7SSKyQ2FTvfF/5HNayoB1NwLVEgE5vpCARQbg3lbgndHcBRfcAUxepn5nVeZdvZl8mIq12i7ZSNy2iqh0vSGfnLmJzWe5cs3V/O4T/kpJt1kIr5i4vsBVu7vPp/O1EewVLyVHoPO4otiPqXCJ2vU4Qh+hngxFYSlVlhrXFXHBt3LMjcnRO8omj2CpPRS5tX4/AcyJF7R7PvtqAhjjZu3UagLohgPaYzaX2lLgye61FOhoZMZEBjS1uwP7clmFKwnIu4FZ8cRumn2ezehoUlvmSCUfUz+zWAJIuQ9SbF7IMuxF4BLqwNuqKJWt3an9a9hvnga0OVjXVDpMkKSNbHQZJbuSgLXXAqclTwp3GrDwVOQNw6o2EbwA+rJFp/vkw9pC6IgB+n2ZrQeaijUUXF8UqOeHjelMGcwkDz+/tW9vM3lCDfsRyF2xAXM+oJLEU8Pyi+IHTq7gcftaWQq8aie9P449xwnNSLyzuYArdwLJQ4N/l9oi4J2RAOwEs54a/d+jMoBxf2Bzv+YSYObbQM5V1u/XVgW8MyrQU8iVDCw4Tkn3alVRNuHPwICvmr/P8ZdYnkibCMzbbP6cno5VE9TMlhruFB5vxmTr1xz8E7D9mwSS9iiVl2TnTldck8yZTKFXb2WJJv9mYPMX9LtoVxJLRwW3BX6GUPPFZANX79FMx5pPsIPz0Wc0kJI5gzydrEv5WPNxvbS79DU6ooYFbOzq91OYnel7q9ZCIa6AmTKhRuloBFaOJPiOxNRQDkXhuCheynMj8zzSJzOz0ufGrpmudTfaqwNLPMEIr65EKYMi3GWHB27+Io2Gg2oG5r8SgLmK1zx9ov65tXuY1a36BDoVXOal9M6KdIMpouWkxk+pWEtAbQxnHDcDVvwZQO05NoJcpNRxPE9hLPo9Hn4vwZisiK3fa7GWDNODlKRhXQLPF4FLVw7c18YLJTIzIktjZe0sdvnGSB7JCaXsDX0WJH0acPm6yL4ToBEkM6YCcz4mICp6WFNyOGK40A35nnl5wdtMLoGMkpuPBz7PEcMGZHLb87PtAqn4yWspWcZshixfzJzFhb7xEI2TrthGjxUAmL4C2HQHfVCEU+mox+hFI6L4WWDTEn33YRFpE8lp6HOzNuF3NBIMli4nsdEnfRd3KtPW1Zu5m7hqNxe5FflcpK6vtc5g1e4E3p0q1bnVLI09Grj2IJVdTcdYJrLZCXCtatl1e4GVwzm53dBw9iezrfcAhyV+Rt5iYOqLoSelDy4jWBn5c6DoJ4EbggFfIyB5rRdJif2+RFJjZz8rF1sujHzUPKNT+QnbIkABZr7FjsPNx+mwXPxPrVSUOZMqoaxZwb+v4Fa5koBrDvG+FaZ8OufhEr2c3SzsUfRDEhkaxU8iMMAsYd7i4K8X0VJGn6iSpVyYRcTmMsNUcAc5AucivK1qE0Upg1JfZF2qtruYMUkyZFHO9gLccAjY+xjnS7HA9r6CGRhjD6zWM+Rvla3Qj8/kEczAZM0I/lnNpQQoFWvopdJkNKy0aTSDrFkqzSBFIh6LzMxOjufm4wjorSXCEa/JtGVCsNzqojshSMryGlG9Tc/XFBGbq9/wpo7rfiZRjYvApacOXKQ9RVambidBjVW3z1Ax6FvAuN9H9pqWkySo+lqAuEKaeAFcQAd+DRh8X+SkrdYzqiRbDNIt5l2wozL0dcm0CT2zs2sqJrAoWWZ+LkWfoVdSSdLr8zlmtnbeD8BOn46VQ/hcQda75pB+t9ReAyzPlCYlO3cxp1fpSwfJIwkYanYCirTbdsTynOffSPLfqnH8XRBnBQcpdQJwhaH8I+L4S+RpGEsVNgdw+RYgbSwfFzLtrNnMLFmFTll0/OzJ2RsO01VWTgPH5AKLTNLCxvDUUr2leJkFq9ul/sEB7nD9lKK7koDlxhq+jQv75Getzdu8LcDKUVwoCj9Pc7K9P+cCLwBL1qVqhmVmeMer+NnUsvU0ew3lXGP+nI8XM8vnTid3zFOrdx5uKQ2tjHImAgmFWoZGLkNFZQJnVjO7cuZ96FoX5F3HUlDmpd3rHBws/D6VlCoDlD2qq6zFohrXVzJrE2Wegec3e9twWAIw6vXodTkBTMYU/XO9bSzRFj+jB6WxeXRpFtm+5hNaNqViTaAqppMPOYtAJWNacD6kMRQ/AcyRvwOnVgEeC4sMOaIyAhVOsmGeVXjqufGVuSm6ErgazoRAw7iz0fpBjQsGuDz11FP49a9/jTNnzmDUqFH405/+hIkTJ4Z83QsvvIBbbrkFCxYswOuvvx72552NAzcNT52alZHKTfV7w6ufC9Ox7CuJxoOhZkUhSXTLV7XsjSMWGPgNkjN7DHH7OTlVSWnBul3mJMeEgfqBnDIqPKfNjkZmVUzdcW/kIrf9m5qtv9cDvKS+79SXgQO/4feKL+QCf/QfWtYrZQxwpYn523uXUkkCUN0ycwUByp6fURVjNKhyJbMMNeAr7HG18TYgaSRLOZXruSDOfp+T1Ka7uLsf8n1gzC8DP3v3Qyzl8SBJ+OyoA2BTswRSaUmUYyb8hV2Og8Xbw5gZnLVSaxrYk1H0CDN6YveXPkXzp7iuOnRav/g5YNPt+oykI5bk2w2f45idsRJYt5ANTEWkjgemvQLE9wn+/tu/BRz8A1UcvS+nV4n4nKzZXJwyQ+yWzWLbvXTw7Xs7MOXZwL8XPUKlit0NXLYusAQBML3eUhrYG6rxiNorpgty76w55GEkDw8u844kFIX8PQFMOkHKXuuMUlSaocQzgpuLC5ErJ6LxKAFMybMSgJmrAhgDmdrv5xyz71f6Tsl2N0s8RpWTzU7FZ6cnWAQK1FChKJzripexgay8qXSncuNjbF8iR2yeBmYSBnN+bq/kOlW9Wc/z6TweBzdx8kY1YdDZA8kmcUEAlxdffBF33HEH/vrXv2LSpEl44okn8PLLL+PgwYPIzLRecI8dO4Zp06ahsLAQqampFyZwMQt/BwdEJ29mFyerUNboUWlUlWRfxd19bDYHbtkKLny1O9UnqryPId8DxvzqrB4KAJbOanfqwUzT0cDn2d0kLMslpoT+TAkH60fU6zKWa3IXcnctpLfZVwOz3gKOvwJ8cgOffmM78GoyX9//bp6bttOaS6lVR+YPrwTOqITSoQ9Qwix3pAVIxPS2Aj5JfZYyljt/0cEYYHnmqiKtLcKKQi5OZgBi3fU8XoA77Kg0TXlgJHM2FQNv9ONEuOh0aDC6/kYCwDG/Zjmlp6L1DPDBbJVjBF7XiU8DhXcAbw5iyS4Ul6fhEEsuRlL7iJ/Rjn3HfTwXsmTXHs0eRaHKOQAB7/tqFkWWxfa6jBmWzGlhH25AVH5C12RXIrC4XE8MLVsBfLyQP0/6J9Dv85G/v/zdRzzMe/z0aiof5bEXLGxOZtk6e0MV6vtERWUElmI6mghIjL15rEwvHdFU5RnJstG9zn8/nq5GUzGzcsXLJJA7RwW50zUvLSFNPrXS/PxEZZLT1Huual56DtYYXxtpB8VLmY0TmS9HNCXSohVC/T5e13B6jAE8ltRxVLulT+ac152u3z0QFwRwmTRpEiZMmIAnn2SN3O/3Iy8vD/fccw9+8AOTRQaAz+fDjBkz8IUvfAHr1q1DXV1dUODS3t6O9naN6NTQ0IC8vLzzA1zMQtQO19+kqinCCLsLgF2r9zvigEHf5CS15UtMG19z8PyYyLVXa6UlAWbkRUiEK4kLVFuV3kchcZDa0+P2QLnw1q+zM7PIYHxyK8l27lS66L49mM+bswb4YJb6IhXMGV1wFYULwupJ5kS49CmqIdwinlfRObpkGVUbZpkm2YK/+Tiwoi8Xz+trtRqvtw14d6LWxThhIIGRyFgM+yG5OHLs+yUl1llzgDnvB36uMYQ/SqS+I8Hi8F+Abd/UJvWUMcCl72tKi4138twM+zEw6meBr/c2kxx54Lfm5+6yj8nVknvLCDM6q4yVMWp3U5UlZ8ms0v9dCcUPvJ7PiX/GCs2srH4fx5G3Sa9+6kqIMW4kATvjaWmft4gAoeW41huqqZigt/l46IyuI4ZCAGcMsz8d9YHE8s6wcYMRIDfud0532ec0mkpUALNUG+vRWbz2xgyGzcn5qr1KD8RtDm6uJvzlrJZNTKP1NNs2FC8lGBXhTOA846kxL/kHa8HRyUcy8Gfi+gZtiNhj4W0h36duFxpKtyBp9j96dP2OiCLs8Xiwfft2PPDAA52P2e12XHbZZdi4caPl6x555BFkZmbirrvuwrp1oYmsjz/+OB5++OGQzztvYbNxhzR7NbD6Em03CzC9mHMVcPp9lmXaKgAogRO/r5mTXeJgpopby7jIzFh+7ndAUWnMLogMg6JwUq3azB3l6Xf5e0d94A0Uk81uoY5oTsJighUhbsQk1XtCAL2kYZSUAiQ+nhGLu3ozpo4jaFH8VGGVvUaCrbEGnTSMJbbcBYHW2HYXF6rc+QRbx1/g5CD3QNnzMMtphUu4iAIsbwjQ0lJG7xIxAfa+kjXu48/z9763BoIWgDwYgOWycEKcn7q9wZ8XTngagI8u17JQNgcw+lfAkO/on5c+mcClynDvKgqzPzu+y+MXIZeJ7NHAh5dTxi4+Y+A9QPV2oGqddjxWIfgKJc+ic/LNmgOM/FlwZVOkYbOzzcPBJ2jhnjufJeGPFxK0ZM4Exv428vdV/ORFFC9lI1FAAyBZczie8hYbOtSblKEUv0pWL2ZZsWY7M7wtZczqKh3MSMrlN2M4ogmM4vuzgWvCQE3yHZsPOCJUPX5WQlFYrqtYy3MUla5xOjpBiY2Zptz5gX3tmkqALXdz7lF8LN+ffIPy/ol/OTetE3xtnDdtLpavPfXatfY2Skoudc3pdTlLpmmTCEbbKwL9Z+r3cmyLbJys2XDE8t6UwUx3M2+t5XquaO1OevuILJIJF7i7ERFwqaqqgs/nQ1aWnjSalZWFAwdM6msA1q9fj2eeeQY7d+4M+3MeeOABfOc72iQrMi4XXLgSgRmvA6snagt6xRoS7vp/kfVzcQPZ3VzUvU3aYOyo15c4Tr4OvBSvaeWTR/PmSRx0bj0cFB8VD2Ur2GSvM7tho9w6Kp3H1XCAk+6JF/kPCKyp1qokTmGa1awSQXtdRh4DwBvphLrQO2IJ6pLHsFle2esGlYMKbIT3S8LA0PwRgF4sg77BY+kELnbuvA79kf8EQVnI0ys3sswiFuch3+Px7fsFf8+YAUx5LvCzBPfB5iC3JpwQC33DPt7wXd0VHX9JtexXv3N8fxKDzQi/IqNRvZnlP7uDmYht39RaMMT15fg7vVoFLQ4APu39AQA2YEEZENuLBF7A2iSt4ZAqcf2Pnhg67o/AoHu6dsyhIv9GApeyFYCnCfjkcwSrsfnAtJcjI5w2HlHt35/Vq/hiclRZvAIM/jYVUVbhqTNIjVW5sZX1vSOW3zUqjSBF8fI9Wkq5G/e1sSTSfAwoN2T3bHZ+N2MJSvwf0/vc7MB7IhSF161ijUaoNVoR2F2cf0R2VvECDXuBqjSWgmQgGV/Azaenjlyo488TKFZvYluLhIHsixasjBrR9/dz/MsqHyvOYfwAXhtPrTon+DjeSpbxmruTWd6O6cV/vS7Tf07ziUBA07CfQoSarZp6VYQ71ZwQLHPf/D6Wlmt36nmgAb5oakRncg1zDQbQjYymSZzV1bCxsRG33347nn76aaSnBzHxMkRUVBSiosIghl4IkTgQmPJfYO016Nw5bpcmYFciVUeDv6UtjJ5aoOwtApWqzdqEB3BgVa7TehEBgM1N2VzKaBXMjOLN2VOkMRF1e9Vus8/pwULScLUnx636rIannrvE6s0qZ2YzB3HtDv4TGRWA/hwJA7WeNn1uZadYgDygvWrWQvACiv+hvdaVSOv85NHAru/zsaHf5+tPryaXJZw6bv0BerQAGpdiwt+4SJet0HhLh/4CVKyXOrXaaQzna6VXBECC25yPzD/nxMv8P2t2+C6ZCf056XqbOekIzk244fUAH89nvZwHCAy5HxjzuPVrEocyHe1t5LUrXU6CrOLlAjn0B1S3vSmbZ0lE1Nh8OqSmjiNoaatUM1M29l+Ro/4AW1Ycf16q58do/KazBVoAbgJi87jQb76T1gOOaGDGa+FdH0+9SkBfqrXcADgu+9ysWr1PJtfnwO+ALV+mB40jluBeJzfeY27uBXBMJg4KlBvH9bEGFx0NWvlJJg7LMu+WUv6TyfMijDJvmVsTX3h+fGREKAo3UBVrNC8Vo0rG7uYmKWsWs2fpkzXlmuz9U/ExNyEZ01mGzJqtZRjcycCUZeyHtftBmmV6G7lIr72aZafhD3KcBmspYIzWcr1fSvXW8FSeqeP1gKGtQmqsuZM8u9JXCQz63Ko21hylPd9m5zWN76tX0vm9BN66/k2qusxTo/ZUMowRV5LWxNJTa1HWtHHcJo/iGiX+CRuPhgb0NHCJiOPi8XgQGxuLV155BQsXLux8fMmSJairq8OKFSt0z9+5cyfGjBkDh0Orrfr9nLTsdjsOHjyIfv36IVScV3JuOOH3ARtu1bIOIob+EBh6X+ib31NPDsamL6gLe5DapRzxhYbBMoqLSSQpv/Zq4NjzvClkQ7KoNMqVC+8kNyKc9zT6Bpx+17z7KUDpqZAGxhYALSX6v0dlkOCbt5iTjMMNrJ5C51VnInBDHV1cW0qtpa5y+H2qw+1mOuL6PCQYC45LzS5g1Wjz1+Yuorpgx30AFBLgFhynRb1ZCFv8iU8z8xZuvD2CE4nwMAk3znwAfLxIy+RF96JKKhxreOHN4krSJtWc+cC4J7h4nXofWDM38HWT/sHS2qE/ahyR8jV0PY4vpGswoLmgHn8enWM6+xouOGXLuShfVdRjnhGWIYztREz5D9D3c9bP9/t4XoqXskwpGjfa7FSwFNzJ8qQzRt3hHmOZbOvXOK5dSQShVq6ysXmaUZvOVbYHN2yKwkXPDNA0lRB0hlJEuZL0gEZ2Ho7r27PET0VhVkA2fDPu5u1R9G4RPippl4T+Di1lbOVw9Glt4c2YSuJ3r8vM57bDfyPvTNdSIJ7eWiMeDTQd7fTV2qzJkc3aHjiiCfS76qtVu0tVJf1HpSGokTJa7V/1uchUqYpCccaplQQtdUU8X2ZeL3I4EwmMhKdN2nhu5kzKkhcMOXfixIn405/+BIBAJD8/H9/4xjcCyLltbW04ckRv4PPjH/8YjY2N+MMf/oCBAwfC7Q5df71ggYvfR7Cy52fmUjQrOa9V7PsVPU2is2hhX72Fu42a7eFLLl3JGogRgCZxqH5AWZFWbU4umAV3MgvS3dr4oaeAbd9gSaXgNmDXj8Ozy86YwRRtykitRNZWASzvBSqwfsBMgmgl0O8uLqTBQpxbVyL9ZI79hz1phJy6eCmw6fOaoglAp6mcHHY3cPlWIHWk+ec0HAbeGsjd8+LyyJrgrb+Z42n0L5lRChV+P5tTHv+v9ljhXcDEv4e3M6wrAtZco02w8f3pHJxzFd97+73A4afQCTgExyWuLzC/mOTWmq3MOPa9RbveOdcCo3/B++L4i9rrc+YDIx7kzu1s9vsxCyHnBoBB9xKYmUX9Ad4XJf/WKzkShxDE974K8FQasih7AyX4IlxJ+uyJkB5H4gVytiJA5m3I3FiVAOSI7mWuhIorIFE/WIlbUViaFKWfyo/1izGgApXJWoPc9EmhWwZYRUuZ2kH8aX1DzhEPEYyagYdT7wDbvwM0yvO7k5L93vO40ajewv8D5mjb2XMy93cw21y8VJ3DVUBmc3LuLlzCDYJx3q/fH1jqsSJ6x2TzXhdjtb2WIMdqDrc5WYFI0pecGvzpSEpJPX/kXAD4zne+gyVLlmD8+PGYOHEinnjiCTQ3N+Pzn/88AOCOO+5ATk4OHn/8cURHR2P48OG61ycnJwNAwOOfqfB7SfTc+6jmfulOYXfSsuVaR9DaHeQLhKtYGHQvjYqajpIjIVQZHY1MUQs3x5qtgTeJzcVFpaNOTa2u0f5md3HijcsncbNulz5lmTJGdZy9pWcbgAlibvIwssxlH4XO7+0IPJbKj4HV47TeGGkTJStvB2WnAHe8h55Ub1yftWqifh+w+yf8eewTVG71uozApfwjbRIANNCSPBK4bAONyTbejk4A4/cAq8cAWbLsW9rxlaplol6XRd65V/BcZGWBVVR/CqyZp8k7XcmUmxt9LMzCUwfs/ilBiTj37lS1vBFFNdKO7+kbmbqSgL53AIf/xEne18bxDWhcGfG9Gw8Dbw9HJ2DJXchUe+oYrcMywPvlXICW9hrt+gPMnsnhqdWI23LPKWcid5JRWSyBHfi9apZoEnY377HkEWpZZi2zhlfvB6IjHAfnKuxODWiYhbeFmSSjEkqAm44Glm7azgQSvIFAmXdcH85T7RUq12NToDzZEU0CbeYseqmkTew6UDFGbC4w/k+0UNj3S+Do3/m9P5rHzM2InxKMyACm9xXAnBHkjh34rVrW9wKnV/KfHDHZhpLPuLMnrba7mGXOuYbjW4zfmq0aydiVyIy8O4ncwob95qUem4MAS87eJ4+y7tHWVqlK8aVyU90erin1+9T17yXt+eebnAsAN910EyorK/Hggw/izJkzGD16NFatWtVJ2D1x4gTskdQBP0vh97LWuPdRTs4AJ/zB32GN3pVIL4hVEzQUe+hPLHXkLQz9/o4odghetwjY/1s2vIsvYBo9+wr+A+jhULVB8yeo3qpxR0Q447nwextZ567bHVi2cSaoqb4ZJPB1NHCx7QmyXv1+7lYALoRyxBYCLao6qP/XgcMSsIvuzZtIdCM18n3sTuCT6zlBpI7l4tJWwRStmXzW71XJqh51J3InH08Zw2vnqQFKX1czA2rkXQ9Mf5kgb9vXQdBiJzm3agO/z5l3+c+VSPJn4Z2ccIWaKP+GyM9ZcpjAZdu9HFcyMJj2cmgCt+InqXTn/drONmc+JzlPDVsibP+muWfEjBXquQBBWc02AuWY3ixP1hVp3B6RfcxdxAyLrM749D5meOILmZU52+H3sg9UyzGtHFb6Ks9Z5451hUSQtGkEcW8DPYKMEV+oL/Ekj2DrCLGT9rWR3NlwAPj0XnMC92chnLG8F5OGBv5NUQIdhnWtFI7xnmsq5j/L5I2NooWE/nRzzZyhqqIKzl75MDYbGP8HekTt+xW5eNWbgDVXEmzkXgdAUV1oN1u3QJAjcSgw8W/d8xzqSigKx3RMb6pCXfHM0Hc0aPOnHM4EbiCE8CNlFK9vJOAwOgOwjyfNoOEgv4MjWm2jE1EBp8vxv2n5H2n4vSwt7HlU610RlQYM/i6luMYb7Mz7RPGChGhzAfOPhGflrihMo5d/QHXS9FdCv8bbDFRu0Gyrq7eYM9Vh4+Rtc1pbTzvjVfLvaK3clDQ8dB1ZUZglKl3Of7rSmZ2TkUi3Tvib2lnYxsxF+XtaGWLMb+gerPh5U1RvBg78EajbEfzzk4ax/pw2idkSkSLd+3MScl1JwNV7gdgc7TXC9E0uCQlPFr8XeKNQI1JOfQHocxN/tmptENtH9TRxANdFWCYCeLxvDebCeWNjIIBsPEqCoSjtOGKBqc9r3iTBomYHgYfYGScOIr+n91zgjf6BJoQJg7gwtVdwJzlvK/B6DgAbcF0lCY8776f0152sGfMBfGzs71jqk+PUamCNCr7nrAnfur878el93CnbY4Cxv+E5sNl5TwZrigdQPWf0Q0kapslpg0XVFuC9yRzH05fTy+X/eyh+bo7K1zCTWfGxiVLKToAX6twDvH90nBqpDBXXp/ulbH8HAfeZ9wjo6/fDdOG1OXjtdRb5fejTVPxPvcIutg8w+nGWTns6fG3c1HQaoe5Us+cN5s+PyuJmpq1c41rZ7ECveSwl5S4IDVi8HpVz9D77HDUd5qYn6PWzM8sT1wdIGomGmPFIGvvN82/5f67jvAEXfwcbou19TJvYo9LpbDrga8F3BPt/Rx8MEdG9gIWl4cma64qAd0ZzIpizJrwJXlG4Cy5exqyQrgGhCdk3upcqd0vnoG46xpSf2YC02bmQyWnElNGqCdsnKlh5TU9GE0ZkADC/hD17TrzMySh5NIFZTDZvOpkfsOAYB7wcLyVx95s6kT2hZDmh0dcFYF08ZQwnvBMvshxyyVLerHIIMzwRCQPZINHvB1aP10oho38FDP1e4Od0NpNcqjaTlEorWZeSK5S3OLyFDiBYeimOO9X5R/n9RRQ9Smt6AbAyZgKXrrTu/SOivYZOwUf+xu/rjCMpcdC9JChvuoPkUxFRaQSWHQ3s6gywKWJcvtrDaRwbY75/qb4cKceNzYHfy1PPRpItZcDAb3LHe7aio5Gp66P/4MICcExYTbb2qEBH2aQRJDl2x1Np5w+BfY/zfa7aa516/6yG38eFUxBpzYCKM46lucxZGonT7gJ87VT9dHJrDGUoMwNMXdhY+rEiDhtl3sJFV3YMr/1UI10b31vMl4mDgZGPMAtrNhb8fmD/r4D9v9ZzRdypXCeG3B+ZEklEW6Weh1K7k5tBM66j3c3NpcxrTB6pcVM8dbSbKF6mmWYCLC/3uUkVYEwAarcxCynaB7SeDt181JnA65A0jGXq3vOAJL2i8IIg556POOfAxd9BBL7359rCGJXOUsGAr4W3ECkKuRHH/qM91mseMHtVeN9h69dYYkkeBVyx3Zq/0XKK8uWSZRq3BiAoKLidTPO4PjRxExmZqk2Btc7oLJJiEwdxMLZLN45l/wwDedUeTffJ/MXM3Hy8gCZJ848AKwo4cWTOIiDoqAd6XaFZ9wOsM88z1MqP/ktbQOdt1xoYimgqZrNKxUepY/1ec7KZK0VtKKnumE68xHMmx7AfAaMeJWH11Nt8bMA3gAl/sjh+KbzNzJa0lEE38TnjOOkV3sk0eKgy3MpR3LXOeAPIvZaSyg9m08sBUC37/x4Iwoyh+JkV2fWAtgj0uYUtBaJ78/EDv9eXGGP7AgtLuPC/0V8j4S04TmL1sX8DBZ8nKC57XX2RjWWxXpcDW76oXW9jiB5Q8f2Bq3YajNm6GP4OciVky/u6ovCapcbmMbsnAO7ZcJX1tbOJZ/1eIP8mYNoLPf8Z5zL8Xs4HQvVTuS5Q3uuM530oev2kju0aGbWjgZspGdDIxOFQC6rNzZKGI5rjxFOt31iIcCXpMylpEwlQ9v+GZHOhrkkZy7JnznxrMHvseWDnA3onaXs07/2xvzXfZPh9Kqdxp540a/SnESE2frKSNHFw+Oe44RDVdcdftPYNMgtHLMFg4mDO09nz2NMpDFDWUFuBpNSsi8DlrIXPowKWx7TJLzpTBSxfjXyy9bayT0qtpCwa/QtgqAXBT462KuDNARxcE/8O9P+S/n3LVnDhPfOuvs9F7iKClV6XWU/G3laiajEBVW0M3I1GZ3KHlDGDDrbl60hGq99rLfEE6M2RPIKln6oNQPo0ZgZeSeXrhv2QgBBgSaH8A3QCoLG/o3mXHK/ns1wjS2yN8dGV7A49+he0mm86yjRu6atM88IeyAHqDAlkzHyLPI8jKicn+xpg1pvWxypH/QHg7SGcQOZtI2+keJlWWgTI0BdgUm5lIMcnn6N0eNTjJHxv+4Z2vpNHUeYcaudevZU29MJkKmkYu19nzWKJa/s9UnrZRiXZybc4Od1QTyKrMNlLHk1l3PJMkz4vNoLq1DHAwT+RHyNUWnKcXEk/DNjYJiBSHoCQ2euUPEXcFZqWRE0icQg5Y8kjgY/m8livq+gZABUsqrcB715CYD3tZTZW/KyE38tNhsioVK4LLEs4E9gXKHMWx1fKmLNvlqmTeZeQb1izneTTllPh9YhyRLOskziEXb11iqi+BBltlQQwh5/SQE/KaGYscxdYA5iK9bzHOvvRgfNQryvYz6z1pFTq2W0hPbaR9yNnuFNGc0MabhawpYz3XqXqSdVygtmXUDwUexQ3GL2vAHKuBNKnB8q/AY3n1HqSn9VyUv1Z/b2VvzfUViPpS7gIXHo8fB6m+/f+XHPDjM7iIjjg7tDp+GDRfAJYNV6ftZj7SXh9WA48AXz6baoTrjnEG7NkqYqWpZ1OxlQuhvk3ds2UztfG9KmYoKo2WKRQ1XCnkdyYMpIApa4oxE0oRdoUoHoDb2RnMtAhpYQXnND3ahIN8gBg6ovW9vmH/0pjOJGxqd3Fc6546deRd72W0i56OMjEJoGY2D5sEpg4KDyyctHPgKIHSQCepWZrFIWgsHgpS1bypJ8xjdesz4165cGeRwkcotI1oGBzEMiYlavkaKtiJuXoMzwOVyIVWAO/zgV0w+f02Yj0qcC0l2gU9UoaQfKMFcD6G7SMXL8vcZdWuVZ63RSOkbRJwLxNfGzL3SxHDX0AGP1z7bmeWiqMWk8Bg74NjPtd8GPw1AYatgnFglk4EyjBtLl478q+GzYHM6T9v6IRnxWFzS+bS3jsXSFRRxq7fkJCf1Q6eVY91f29p8PfQS+SzozKeslyXg1XIjczwvAtZfQ5dvX200RN9kup22kOYGNymFkT91dHvTpGzgQ+1xhC5h1XwLWg4QCz1SLTkzyKGZjchYHzg6KwzHLqHZYKzZrYyiE2e51lntH8PdwSc1sNjScr1hJoNpUw6xzMQsPm5HiML9Q2mrW7gKr12nOc8bzOqRN5n7WdksBJGe/pUJkvAA0tuAhcehS4+NqB4n8Bex/X+BnRveih0f8r3QMscpSvBT68TNs5O2KBRSdDezn4O4C3hnDg6/xFQCVHwR38lzigZ75n62mWAE68wu+MIAM/Kk2awGZRsy/MjGp3an1uXCkGvo1FxPcHpr/K+qhIe74znvb87hTgeguvAYC7LEEcXXCMJaranZxUpi/nDqV+v9pUT52I828G+n2BxF2j/bUcrkQgdYJaZlJTysIRUg5hHmfGpQGkLNlSkgFl99jcRUwnZ81mpujAb6TzUkiH3mDEbr+P0s5dP9Lcf/vezm7jio8kZLm2HVcITP0vj0nER1ewvp08UlWfmfGiegNzPqSi6fCf6Qg97vf823vTudBNfg4ouFV7zcYlzGImDASu3KHdU762QFfZYF1wbU6mqUVvlYRBXIBOvcNsm5ikhbzeHgPM20zHaWPs/AHlsEI9drbD5wFWT+B5zbuOmZcLoSOzv4OAVpSQKz8J9KNxJbPEKQzfkked22aNbRUaQBFNYM1KHFHphpLPBGtyvFHmLXNrmoqtya5m4U6hIV5sXwKj1pMs2VuW16WI7k0PmX53hXdOvW0UflR8SLPDpiPMCllmkwESZVNoFpc8itcyYzo3JiI70iplSBrV0pyVL5FZRKWrIDFH/T9X+jkHDR0JSMosuAhcuh2+dtbb9z6uqUZiepNI1f/LZ6cNuDDnEpEwGLh2v/lzvc0kuxYv1XrGAKyX9rmRO/WsWT0jW24q1si1VRuhW6ySRwC5i+kV4Gujv0r5Gk5wxsyKO1Wb4DJnkpfRUcfFatNdLJdFZah8Cz8sw+5maSOhvyavHXI/MCaEdHbVRAKQ7GuAU29x0rpqLxCTxfYK6xapwNEGjP41MFQlTq+7ASiVlFuOOJJq63cx/Wy2o4jN0/s1OGK5MNldwOKK0IC05SR5ScXL9A06jQTSwd+lEiZYVG6kUkYQiZNHsSyUOp7coOMvoPOaupL4t4LbAt+n6BGV/GsIm50TbOtJjaQsnIFFxkJRgFfTCJqu3KHJn8veZBsC2IBRP1cNsFSA0njYekcYmx9Ilk0YxPNbvUVtS/G8fgFLu4Tg6Niz/F3uBG2Mmu3MyDliqJA62+UigKqu1RM5BmWF2rkMn4cEfuEHVfVJIO/DnaLex7N4HyePPHdAxduius9K5HszvpIjmpwTAVTSJzIz0hNgUCfzNgCaxiPM2AQrlcvhjGdpJ2Gg6kc1me0mip/RA4PoXszeDPgqf/d7yUM88y7VaY0HgdYzhv5gxrBxkxXdm5zGuD4EDoonsJQTNjBzqByhVn1fscQhLJX1vYXHFkKZdJGc290D97Uxjb7vF1rX25hs9mTp98WzA1hEKAqw+YuaygEgAJm8VP27nzvW4qWqQkUa2MJvpPeV5It093vU79Vky3W79H9Pu4TSzdxF1pkcn4eTf8Uatfa93pz4BtAFds8j/HvuAmYdACA6m6lHEakTKZe2uqni+uh7NaWMVlu0q5OVkD2LTIFYHIRjLsBd+4wVWtM0RaEbryChGmXrfq/mjCl2fPV7EVgjVj8zNo9Ga+mT6OsQasIXSrA9j9FLxBgjHmE7ArOWEa3lPC5BMHYlk1hc+CWmp/c9roEgm4sKh5GPWpPp9v8e2PEd/WOJQ5gdeHcSr9+VO+hX8nISQcfCUu6uWk8Dr2XzPMx6m7Lumu0saQbbDbpTDHJj1XHTWO5sOUkn25Jlepl9bC4zS4VLWLt/fwZ3kiMe5kJgFYrC/ktNxcFLkD0dux9iN3IZVJ/N8LWT79SZUdlgseGYqZV+kkecm6aLfh+vpdzLp67I3H02cbA+45k8omfcZ61CUZiBFzwUQZo1UzB2JaLSuEFqOQNAFknYVFuIELwtexQVra5Evo/NTvVg+5nwOV+uRC1LEpsbmDGJySG52WbXNtIly9heRMx/jlhmEAvvDLqRvghcunrgvjbaPO/7pZaKjskhYOn/xZ5zZgzne7w/S98RevRvAF8Td9/NJdrj8YUENgV38HUrRxDpX7qadtORhOLnBCbAikwYtTk4YeUtZmlF9jkJN/wdKpBZq/FkzDIVUZkECcbMQsZUYO56SbK4BdhwCwCFN6YVJ0U4Q6aMZklq7yN8XJSINi6hEgZgjXbeViBpkPb6ik3A+5O138NRfXU08ljlGrtZecMZx6yHUCqkTeKEIO8K/X7KkWXlmWgGKMIexcxBwZ3adT/0FPk0AuQVfoHeEeUf0x+nU1Vl43Wd/Kx12bNyA3k/Z96VPtNNADD7A/IX3p/JbNniM2qzukt5LUc/zsVG1Natwh6lGpkZTNuCEQ29LSxbFi9jaa1zsozhMRXeCWReSnDYepoZlNZT6rV/NfTiu/MBbmDC9UrqifB5CAJrd3JjMP3Vni0Z+do5LsuFenBj4H0Yla5lRbNmMbt5LoBKy0l9JqV6WyB/BmD2QVb/pY7v+Waycvg8VOx1yo5VsGKluInNC7SFcCeTnH7wCY2LFZtPh+moVGZp6vYDzUdDcwADws4xEm7LF9jIydGVa4zAJKfr5n7NpZxTi5exCaWI2HxNeGDY8F4ELpEeuLeVjbX2/VKTl8XmkkDY7wvnDrDI0XKSEkmzPiDOBK0UlDFNP6lt/zZvjKShwJW7QhPi/F4uMqXL6dMhy+vsUVwE8xazr0ykRmmhQnjYJA0jMLJqtChi8HepCBLHtO1eNu+DDbiumgmN2t3qzmcnJ5f6Pda7i5hsgj2xgMfmsT+RWxo73jYqZeTJMzoTWHQmssWkbi/9SWxOmhHW7SJINKsRd07KE0lw3vUjrQ2CK4mqpsxpwMeLec2ie+mJhO5UdXelknZTx7GnlSMKWH+TfiJJHQ9MewWI72P+vSvWc/d/5n3zv7tTgIUngU+/Q2fRpGHMtlR8bN3bBKAcOipdBec2Zr7yFodH4FQUliFLllGuriMzT2dmJf8GPZnZ104gVbWR98blm8KblGt2AKvGcg5YXBk+EbK7UbuLZUV/R+hGj6HC10bgLDKfVRsDSfVRGfqMStLQsw9UOhrVrvFSpjIkuBfGbrk9C+bkaK/WG7fV7iQfxaz0Y3NyzMt935JH6bs2G8NTR0XqoT9LAMUOgu4eXGYdMcywRmcyO5wwgJuC1PEUE3TXmC+cUBTe48VLWY6WyfPpU7ixUMUiF4FLuAfubaXCYd8vtYk/No9S3MLP92wH1nBD8dM+vHgZS0FyxsHmBCb+A+hzg/XO2FNLeXR7tdbR2Bi+NuD0e1z0ylboFxhnPLkquYtUa+guIu5wYvOXCRiH/YgcjtLlKrm4HryBTYifzgTVqGomUPQQ67mZM4HL1ph/hs+jkjt3AadW6bsPm0VMttR0cgSw+wGtft7rCvJ3fC0EhUbH12Cx+6csheVcC8x8g491psGlHWbd7iCcjjwq2DImk1Ow/9cENX1vZYnn4JPkxMhjJjafip/Tq9Q+TtJ7TX6WC5VZVKxjhkVwp2xO8q0a9uizW+4UZj2sTNuc8VravuZTnr8h3+NxrBxGUuXQHzArEyqaj6tOxM+ayMdVArqVfHzLV9jfy5XEjFq4RHVFof9P0xFgyvNA35vDe11PhFCOuVOoMorpHd7rvK20pu/MqGyysDGYpQGVxCFnlwgsyqmysVv9PgTcizY7F1eZG5Y45OwokhQ/yzrGUo+cyZTDnaKXHKeM4ncLtk60nCE3rvwDlo9bT6vl8i4up1FpzIa4EsmlMSqfbC51/gjCDwT4ejNDPlnm3dPha+N6U7yM6iadPcdCNKTfgKTB110ELpbhbaE0dv+vtIxGbL4KWO48P4Cl4ZDWbVa+caKz9FmX9KnA5esDXy/H4b/QmM6dClx7mOi/o5EtyUuX8395px+VBuQs4I6315xzl2F6dypVLFP+SwVHywlJrQLogIs7lQPdLDWbMY2GdlmzmF0wq2v72rlzrt9H9Y+sEIrvx8+SF0OzyJlPNVT9XpJIhz0Q3nEqCvD2UIKUyf82J72K8LbQK2XL3cFVVo5o8nkaDnLs9r2VKh5xXeP6MmtnrIPbo4ExvwUGfc38fcvXMsNS/hF/t9kJWGwOEmZDRf6N5D/teYiZkMs3aaqk96YxUzLlv/SvOf4Cd6tXbLe+5zqa6LNTskz7TgB34fk3MOsYyrDv8N+ArXejk1uTfWXo45Bj14/IjcpdBMxYHtlruxP+DmD1JSSs51xL3pUZuPC2MIsiSrDVm02MI3tpICVzlirfP0tARVEIMmVAbklgz9cAStpE3r9ngwTtbSVw0hm47bJWxcQXBnLlYvO0c6b4mdEUZNbm4wSIdbs1Ymu45FyzcCXTXTbnGmZLYnK4qTLyK70twKffZUZDJuVG57BaEN/X0NW7OEyZd5YJoFH/j83rPpBsOcXS99F/dGaAL8qhrQ7c2ywBFpVoGdeXgKVgyblJncnhqSMxsWSZvmuqKxnoczNT3mmTCEKO/FX7+9AfAqMfs35fv5fN2+r30LzNEc36vzyZxeZyIs5bzIX/XHosAJzcXklhduXKXQQVig9IHAY07OVOXZ5Uxv2JbPq63dxF7nzAfJfvjCO4E5N06nheV8FVcCXpm3wNuhcY9wR/7mjUvGb2/4615mCROMiwAxvNBcK4INQVAStHsvR2XUXwTrB7H6f7bKdl/3RmRozkX6vaurDn9vsIghWTcxSVTqBTsITk4KZD6jh81nq3KUdMLtCqktYnLWP2ZdvXeD6uOQA0HAbeGsjjvaGB519RaC7YUUcn2h33EQxdvon27nIofi7Cxcu4W9W1SJjN7x1ui4SK9cCHswkCRj3OhnmRRu0uttawR1FddDazkMao28N7w9/BcVBwO89H1UaNJ1a9ObAcGtNbn1FJGHj2gIqnlmVPMT5rtmjzqxyuRD2XK21C+FmkSKK1XF8urt1JxY1ikoUQbRw6+66N5jj2NukN0oTSprmUIKCtAiGzGvoP4jwclc6STdpkIH28RHDN5GceepKNc0UWPL4/MPzHvF+DzdF+P7D/l2pLAWnD407VMpyCcO9t1WTecvNLAW6svJBE2BwEnEZAE68a9IVqgWFxf18ELsYD9zaznrj/15puPq4vB0TBHWeXeW4Mv48gongpSYWdig47HQgLlpBkKWc9fB7gwzlU5YiY9S6QPTfw/ZtL+b5HnwlUAiUMIMkwbzEX9PPpEdFyEng9lzfB3PXAuyr51Z1GPodQSAEAbPSzEZPcmQ/odwMAY/8IwK/W7014FY5Y7uprtkGfnrXzdTJwESF6xwCcOJqOqNK++SyhyF4nxojKCCTlHX+eNe3cBcCM181f11ZBabjo+GxzARP+AvS/K/C5isJj3fG94N4yImKy6UXSfJwTRrgW3jE5nNSd8aoU3EHF0Mk32NcIAC7fTM+Zw38BBnwdmPAkJ6RNd2pkakDz0LE5SJD2VGmtE0Q0HlWzjs9qBo8Ar0HhEi7axv5UwaKljGTctnJmgqa+0LUxryhs09B4qPt8k67E7oeYBbNHcyzX7zYBKjn6jEpC/7Nzf/s8nFfkko/MmRJhcxIMdPqlTFINAHuQN+P38bNrd6kgZSd/tsooRGXw/MUXkDTujGNWpO2M3qckwPk5grA5WVKKKyAwy11IsB1JH6KORhLrD/xGa8MR34/3S8Ftoderkv8Au36o7wnniCH9YcxvAWeIjLqnVsvOBPjXHAvd+NIRy0yPEdDYnHRVPvGi6f3dkLYQSdkjLgIXdDTRhnn/b7TBGF+oDoDbzy1gqdur+ko8p29/njSM5am+twbffbSWc+clyLM2N7ColOi24ZBGrq3eEvja+P7A9NfoCnohGFoB5Nh8dDl3N9nX8ia1R2vpTrn5YuYM4LK12mvfHsmyRVQGMxgiFD93qELWWbHWvAmbzUnn2pNv0Pl2QYl2XjrLCqAnSPIooPQlGkCN+CkXsdeyOdmN+iVgU0Lv6kTJK3MWgWPKKLW5maqCOPx31bJfPd7kkVTqmFn2+9rZO2jPz/TKgxGPASXPdE+K6Yxnya3/F+l/EZXKBXLlSJa5Bn+HvVRWT9LG2dgneI81HiYoy12gueMOuY89jwDtejsTSHROHkGuib8dOP4S7w0ZmLsS2bencAlJfJGOW18b8N4MArvkkcDlG7pXghCutsHAZ09FRxNLahVr1NLPVgSYPMbmShmVWZzXevreVhTVfVYq+dTuCCxDAVxYZfJs6pieLTnL2VBR6qkrsnBktXFuiErlnKL4mM1oPUOvkZ4Iu5vgJ2EAAUrWHF4HM8v7rkZHEw0c9//asH79MLwNd/nHbCkgix5sDpa8J/zZ3CAzVCh+rl9mhnxNJap9SBhQwWbn3Js+hRuc+EI0KJlIyh37PwxcXh2PRFcj02ECHbpTuVhlzSGnw5XIhcOVxJ9dST1fLmmvZh2/eKm641cjKg3o8zlOyiljw59wqreSJyAmDmcSEJer7dIBADa2CchdzMZlH83j82e+yXrphRKiTUHuIu4MarZL6hgDKXf8k7SjB7grf7M/f7bqxixC8QMb79SkzlaROoHnxu7mTgUKJ6X5x4A3C7hjn7NG67694XYCUKNtvbdFaie/k5NrzQ5raWNcAdOynVkiu8qdud/8+adWcyJqPMzf06dw11mz2fz5YYfhfLuSmVUoWMKSxKffYor72sM8xtclKbww8rM5qOxyJ2kNIKe/yuweoF1vAICDXZ8rNxBsi8XHZqc0tGAJd6pd9UtSFGDT5wmG3KnsUh1f0LX3ElG7G3hnVHjlvkijo4FARZR+arYFErSjewPt5RzTo3/J9H9PA5W2Ss11VgAVuewgwp2qJ8+mTui5jtaKovbo2SnJjncEscO3U+oeri8JwGtos/Mc+zsQdKG1OTlfx/djf6WsSzlG3T14/UNFRxMzmsaKwbAfEcCEojg0HGark/IPoR2rjfPHhL8CKcN77rv6PAQypa/x3q75NGyuz8VS0dNAYldI0Y5Yc0Aj/+wO8bjNRUv0kqXAyTe1G8rmZJO6giXc1UbKp1H8XET2PEqFiBw2J9OReYu5I5SR9I77yelJGECp77nm8VjF5i+RmDXsx5Rve5s04OKIkXZSNmDRKe2YPpxHLxF7NHBjc/AUbOnrdMIV0fsqTvqVH3M3W7bCfPcIO5s4Jo8ENi3hzvH6Wm0HKUohqROAK0wyXHLs/BGw7+c0zut9uVZ7F8aGxnAl61ULKaMBWzQBS7kqSbZHc8y1m0jlRcT11XxQEocD3gZ20O4EOQ5m6zw1IVK/KqgZ/ggw8idav6fEIVSCiZJe+hTg8k+4CL+SwvG66JSWRfzkNuC46kMjsi4iEocQxPe9rWv+QMY4+Edg+71cnC59l4Tz7oaisDlmw8HAdgWRhqee2SVBpq39NBCoxPXVl37i+2omia5E3styv65Iw9tKQCD7DMn+UCLsUVywZWO3nsru+NpZdq1Yz3NQv5+bmDD62piGzcGyaHRvZiO8LYC3Hmiv5XgLuoDa6bMS15f3feYMkri7kpU4W2HK0eyjZmDuDD23t9VwHjnxsp60nzCYvcEiJa0bo3Y3S1yly1kKFmGP5ngJcV0bWm1I+qLyPw5cUrOYXYnvx0Hb0cDdbUe99rNH/Tlis58IwhlPIlPSEDK1dUDHBAS5kwBnIncRPg8X2NLl5K2YeboAqjX9feZ/62ignLOtnKTIId89W0caWbw7hUBs4jPAFpXHIUpFNjctqAFO2pd9xJ89TcArSQD8lPhO+rv1+5/5UOXBqMN2yPeBMb/UP+fIM8CWL3KiayuHJdnOlQQM+ia/S/pkLtSv54L+MVXWng2KArw1iBmSKf+l9bXXA6xfRGWXiMShzPZZeUWEE7YoTj4pY1gSdCXy80+voqxZmBk6otlfa8j3gdhsAuu6Im2nXbVJ315ADmcCFwRPDYnSh/+KzvM7/EFg5MP0e/lwLheABSXcsR97nh2h5cXZnQL0uYVl0p7kW5V/xM9XfOZdxLsTux9kic6ss3Ww8NQRqJSv4f1cuyOwpBhfqIGUrJnmXB6/jxnX6k1UnMx6J7zzpvg12b3gptTtNh9riYP1JZ/kkV3b7Pg8LGsLcmvDEbbHaDjMxzvqLDYNFuGIY3Y5RjJMi+5NYnjTUWZim0t4HwddIG0kV8fmUXadMZXcwp7q43Yuwtsi2XjIqtgHwrPx8HqAoh+zDCUT36N7sxw+4Cvmr1P8qoKqRGtz0HCAGcLmE6GdfAFmr4zcF5Xg2+BLRlJq5v84cOk3j1bo6RNDv9DfoYIZA6CxAjri8fYadpn11CMyhnkYYXOqE7102m0uSuMSB5PL0SIRnCb8hVJCGQw5VKR79J/A5rv4+LWHz3/XWUUBXknmuRz+UxIPzTxbANZiRW8O4fsCO3B9PeC2UJUIQCJi/F+AgXcHPq+tkuZynWEHJi/jzVyxVi1jGIy67G5O6A0HWHcOtvuu3Ul1lyOavYlqtgNrFzD7AZCkOuibXNzri4DaIv1OJZwQTTVtTu7CEwcAsLGp4J6HNS6KIwbofzdLa6GUHB0NwPGXtXNoc4YGVCMfJQg5+k+69WbMUPs/GbJaKeOo7Mm5tudtB5qOAavHs0Tb9zaqcHqynFK3h87UdrfaayrJ/HmeWpK4RemndgcCxnZ8fwKUzFkELOFmTxoOUuHkawMmPk0+kjFaT+vJszXbzFtkRGcZSj7jQ/fPUhTOfTKZtfPnk1SltZQGNx80hs3Fz43JVk3ShjHDJNxco3vzc06/w81O/T5+XqgGf444vmfSEDY47DVP7VJ9lo31zlV4W+hNFOBD9gBdskPdX34/wcveR/WbYkcss8NpE0miFTyW5uNhgE07N0RJI0gQNwKUIIq8iwZ0/7AjMUYFEr2vIIpMv6RnPsTXDpx6m7yVU+9oE7rdTQ5N7kLuen0tBDTeBhXwGECPDII8NVwEO5rQowDI7iJYcSZyYPtaSYjKnBG8JCY/7kzo+eZpLWXA63lM7fa+khyJTlMzVe0DMNW/8BQXQL8feCmOGZlelwOzV5u/96ffBQ78Tvt9zG+BId8xf67fq76nejOKrAig9ifKYk15yPc4KVesNXH2tHNsCZJkxhSNBCrUSZmzuRupXBfe+XHEallAdwqQ/zlO2s1hEG8dMTyvYlK3R7Eh6LAfhp/2VhQSac+8z/LjtFdoXvfp97jbDxai67IuxDW1ATe1nh2fJG8L8N5UgsWUsVQz9XRPMUUB3h7GjJSQJgPcwFR8rJHCa3chAKgkDNBAStZMLshdDeE47UygnLy9Ut/Lx6wM6YjlxkYu+ci+JAAzOjqFzUnK3nXApKzrGWpXIjMDiYP5XTKmsdzqlMZD03Hg9EqWj+qLqJLsNKS0CHs0QVjiQBJle809PxYP5ys6nd9/oQk/YnPV3np36UnS3haDr0sJ55XaXcyahFx/bBo/SERsHrmK/b+kuqB3bbNwEbiUfYrE0j+qPhbqCe49j7v7jMmRv7GicLdcvJTSVnk3kTaRvJU+Nwe3eTZGazkb5pUuJ2lKJpfF5gG9LmMaM64vFyGzLFDzMao1Ohd6Fx0PZZ+SnghngjXQEaUt49+Mj8uL1anVwJorOIF1NHJSFMBF3t1nzQbmqM6t+34N7Pw+f772SKBDqt8PrLlS30sn/yZg2gvWx/XOONbWAZYU50sGdPX7uEg5ooHr6/j9FYVp6Yq1QMlzXKSMYXOozpYJ3B0Hy1RE91IbBo6gz0bNNs351u6ivLjxKIGduJ5RacCEv3F81O3mQl30sNoSwCJrZbNTIWWUaVs17yt7A/h4AcH4Nfu5YwKAT24Fjv+X59URze8adm8UcHGZ9Q6PuScVfYoCbLiV92ZUBsm4ogFmT8fuh5jJSh1PXk/FWlW1YTjviYO00k/mTO5Cuxt+L8nfVZvYoduqdGyzcwGRSz5xKsncDIiIn9vOhH89bXYLBR04Dwlw0snXGqlvAtpWxTJmxVqO4eZjzFQF+3ybS/VB6cf3zprN++BsuLx+FsPXRlXkvl9oGRhngurh42CG3mrMyCErOkXImylA7wWVMrpHMptnA7h8tqBrQj/gkn+R+Ln351QXnF7Nf73mMgOTMTX0+7Se5gJVslS1p1YjJltrFJU0JPzv1XSM5YfS5VQRyJNd0lAqgfIWRzYQjj0PbFB9JZQOdsEd/weCnQ5DtmfPI0y1xhcC+bcwG2QEQ/LzBWnT28h/Zn1Ewg27WwM7ogbd0aDtEISFvLzQp46jjNyVSEIaoC7yBtDiaaJUvOmw9lhMLjDxr7CMNddqoAVgGtRTp6XKy9fw//SpGuiy2Zj+jEoHYvI46ULRu9QqPr1/ghxR6ZQUp1/C+np0BhfdstepuBHeBlmXMVV+6CltArFHcTyP+LH2fhnTVBAtxpHCjEvWbHIkGg9xUWivYpagYb/a8kCN6F4aCVg4hMb2YdYK4HcVoMXfofFy+t2lKhQsxqiQXFZ8rPVYAjhprhrL75g6Vu/xEden65Pfgd/yuGxONkLsadDSVqllVAQxvmabXimYOFiSJ8/ovrGaorDkIpNna7abZztcicxcxOaRLG13aq6uVZs4NsP17oGd49KZwOvob+cYM5aaBGiJStO7y6aM5rkQwNTbwszd7oeoMGk6yu8WjA9hc2heKCmjCfx6z+s55dJnORSF95GVeVxLqR78eRuB2u3693Al6Y3jZIfcuL48/8f+TSNMAYDEuHMlUU05+NsXjtAjSHy2Mi5GxNZUTABTvEzazc8hgMmcrn+Tzn4KS7l71/VTWESw0uuy8MoniqL14Cl9Tb9QApxs8hYDeYu4Q+tqCOWQiGmvAvmLA5/XfIJkUV8b0//51wV/X197cI5PsFKYAEFmnV27E45YVc6epKm4qjYEToSD72MjQl0ZTH3Np99mbRegwqu5hMBUNhdbdwNN1wZ8jTvr+iKSWOuKrN1lbQ7e/I44Ps8s7WpzsJSRNQuIH0C5fMWH/FtsPlVhJcukhcLG7zTxH5pxlOLnGN3zCIGJiMTBwGUfc+ERoSgEh3LDuNqdqqTaLDuj7rYcMeStpF9CgmblRmDN5WopyB/42sxZLOHt/iEX7inPM2PVUcdsVtNRTpCeGnNnzuhMKq867d8n6HfoVnH6XWbaFD8bSQ78WujXhIq2ClXxo5Z+dHYDUmTNJtE5c0b31SeeOgIhmZtitju2uXhe7G6ex0juL2ec5tQak6OOExs5Xe0V3Fg1HtQTNuWI7693iU4Zxfex2ZgNqlxPc83qrcw2tpWHVqy5kgg0k0bwfu19pXXDz/+V8NQbSjni52JmpkKpruxuApC4vnxuXZEGXKOzWELq/xV9KVVROC8UL2VWVTbhi0rn+JQ3lXF9qdDsc2P3j1eNi6UiqwNvOqYCmH/pyxHDH+TFLlkWsoNlyFAUTkClrwFly3kDi7DZSVrMW0QuTE/tDP0+4KMrNLksnMCCo+bvL5QRcX1ZBjjbfYn8qvmTDGg23cUJMmmYuiiYlDic8VzMOhq652QZLOxRbDHgqWYaNSqT2RxPvaqsCTLkY/P4+qYjBKCTniZwOPB79rYRoCW+EBhyP7khFWstDOJslAS3V2o+DQCzPdNe0soMip/jas8jmqmUM56TfenLzOJcHUY/IYCLk2zoVbuLwCZsKap6zURpb8xvec6O/oOKpfq95IKljue4r94CTH0RyL+ehom6xpK7zH04Egbqyx0po/Qlx8aj7KDsqWUWaOLTXcvatJbrTQvl7KqIpOFa9+TqrdwoZF/F3keRhrddtez/gBmR+j3h9Y8JFnYXx3JcnkpqzdHIrTHZBJxNxRp4rdvF62A2xh3RBKtyWTF5BMuffj9ff2a1+t33UyXkswA7Ipzx/D5JQ6nM630lf/7/QpSNJHztKum12ByghCQ223hdA7IlagYlprfeodjXTkCy9+daNjg6i/dp3iLOKSVL1c2WGtG96NJbsISlXb+frz/4O0NLgTRg6P3A4O92+1peBC6hDrz5OHvCHP2necoyNo8XrOCO8GRyfh93G8K9Vt6R293M0OQtZvpc3g33ZLTXUMEiBmZUFrCoLJCg5m0G3hzEsk8kjQJ7KhQFeDmJO8WEwUDjAfOa6sS/kVRatxdYqRokjXycmaSOetrCH3pSfbJN3dUf4a6y11ymqI0ZoFAqhEjCZgfssYCvScuiNBww7IDtdI6NztRI0mdW00wqWD8Qu5sOu31uZkbQlcSxtecRbXJxJlCRNPjbPLY3Crl43djSdVLipruA4n+yXBSdqQKKECoC4cmSOoETbtNRYOA9bPhodwNXfMp2Dt5Gqp6ShwW+h6+Ni6GcbTAzHLO7uYimTeLCuu+XvOZpl7A7eLik39bTajZFBSsNBwKfkzxCK/1kTNfft/X72TTT7gIWl+szQ36fyiWRVDb1e/mv+Ri5HXIzvFBhdwcCkc6fc1gW+OhKpvLHP8mddMPBwF49MiCWI6BcOJpEYruDEubT77CsXb+Hx9LRiKCA3hHD90wcxOvUey778vwvARS/j2BOBiUySGk9hZAcxKh0STZsACix+V2XqJcsBfY8Zl7Otkcx41uwhKoiq3mk5Dm1pYC0zjligH5fpCloqJYCFnERuAQ7cG+zijCXsfZqjOSR9H/Imh189+ZrZ8+csuUkM8oTgzNOVRgtBnKu6lmXzWBRt4e9WUR6ttdcYPa7gc8reQ7YeDu/5zWHeoY4GG40nwBW9OFO3R5lvlOzOYBFp7lYvH8pFxdHHBv22e2apTzAx8f9HtjyZf4++z0CRW8LMwCivFP+MVC7LfCzjBGbT1DSfIwLUtJwvVS+oz4yQmpPhExYtscAfW8G+n2ZKXVXIlUVLydy8bp6P5A0OPLPqNoOvDve/G+drRgc7MhcX2RdPuELAPgpee57G/DJTTyGG5vDn3DbqyVvmc1s3GfWvgE2lQQ7XcvMGDcHQhEmDN8CeuvYeN8Lw7eM6eZ8Cm+LRmzdcDuJrlmX0UVVPN56OgKCq5OclNhcZusS+mmlHAFOotKt5yFPPTNvB/+o9pKyq2PFBGwaCdoimxKTRSv8U++Qx1O3WyXK1iGowsTuJhE6YQCzar1mA5mXdnnR+kyFonAs6izvJYDScjy0k68jNjBTIv/c0408FYWZwpJlqsCkVv93ZzzL60PvC781Rvka+jPJmRqbkz3dJvwlYtuNi8DFeOCKQilq8TLgxEv6nXfmTE6wDQe4ixc7zIzp5MDIAKajiTuQ0uXAybf1u2t3Ki9Y7iIChp6WYoYbpcuBdRJ3xSyroviBd6eyfFGwBJi89Nx9v1PvAGuuYhnArDkboAGuthpgeToABRj4TWDs74EPZmmy4pgcYM5a4IOZXDRSx5HkWVfEHbuV6iEmj71UhLNs8gha0h99ml4n7ZVA6avAqMcoI5ZDUVhO6ahn48APZmu+LLDRnbdqPf+edSkzErU71d2JuIUkyXdPhE3lWyk+Zkvi+4Sn9HIlUn566A80btN5BjnIORn+E46TPY+wvDnjNb3/zahfALseQMgdpM1FEC8TOeP6hl/aURQuCtVbmM2Ru6kbIzaf5REomqRX/2U00mfWLCB9Gp8rfEnkbsCyT4mZ/X1YYScQSRzMzJSQzbvCXCAEUbezrLeT2TCrvlSOOCB1tP5cJw3nYnr6XaDiI7aiaC7mAhxM+SbAVXyhank/i7vxUH4vn/XwNpNaYEaAbSoJzS2yOVmqNzNbiy8g6DsXfeNaTlL9V7xUn1mMzWXbGVcSy7vCNTkqnT3GBnw9vO7rAFB/kG7aFWugbykwlQIJsyyrSVwELuLAm0oIRoqX6e2s4wvVUtDt+h4mLWXA3l9wARMAJm0SQUzDQZJ1ZbJZTDaBSt4iEvTOZdPGYCEawomYuz5QRVW1BXh3En+et4VkyHMR+3/DrsYpY1RjLpMQxloblgDHnuUiOr8UeHeCpmyKymBJr26X9Q43Kp0p66otainKzmaNmdMCnysAVUw2SxeeGmDuJ1xgzKL0NUpwBSfEHg1cs498nNUTmRmZ8CS7KAvlVOoEkmI7FR42LgLDH+Ti0V5DcmPpco3zYHMx9Q6FXJyu2qGHHXaSn2P7AlEpBDflH/J85C7kYt9wgBmvuAJg2ovsCyRnYGxOlvlayggyrRZ8V5JaohilZQGShgbnXZ18C1g7H4BCY8H0CcCpVVT71BVZl+DsUTyPcflUnMEvObueCt3xtvN93Nwt+z3WfibxA0hqFkTj5JHhl7F8HqBhn9SnZyf/WamCYvN4/uL6sCO8vw0Y/RvyEso/AKq3UW3XVhGi7GdXLe/78PtmTKcF/LnMxp7L8HcQDOr4JRJAEZb6wSKmt0GZI5VzYnLOn4+Mt5VKxeKl5D12CkxiSFkoWKJ2rFY3PP4OZuH3PqaVaKPSmIEZ+PXwsz9tNcD2b6gtBSQwnDgEGPsHIHtu0JdfBC47nkJi1UuqXFUNZwIZ0AVLKCMNhnart9PgqWIdAnbGcYVU4+Qt5sTUk23aeyoUPxfh06pJmz0GWHwqcJe04Q7K3tKnENycix3Aps/zhkoYoCpbDMRcm4M+LS1lzK4oPs0dNlgkDCQ4Sx7B3WXyCDahfKMvFROwATPeBHKvNn+9rx14NV3LxjligRvqAsGo1wOsX0ziqRx2N/sZFf2U4CwqQysfxuSBC6UkJ08dB0x7mZOc30dS+N5HtV2RK5n8lUHf1F+31jOqNHcNeRoNJkTS2DwqQGJzma5VvOzXUrebWa6z2eIC4LmL6UXQ03qGICyukKDQq5Kt28rNAafNwYlO7tWUPIrln4aDBIUdDcxmxWQzXW0m07e51Ak7grJeVIZWqnGn8Pt1NPD9Gw9bc6SSRwJ510emhgKY7RCkaAFQGvablxlsToI6ucyTNIIcn9PvqkTnreE5LzsTeZzJw7gr7n0FkNQNVeOFGJ2yYUO2RACUlrLQJT0hGzZY03fKhs9XVt0sFIXqyuKlrCrI8vWM6ewFln9DcNqC3wsc+w/74TWpnlbuVLaJGfiN8CkPXg+w+0fAkb/oFWox2cCIh83dnnERuEhNFm3kOxQsYVYkmFFR4xHuokuXm7iDSotr2iUsIfWed24W+q6Gpx5YOVIjYcUPAOYbSjMtJ9nHyNeid409m7FqIlCzlZO72U7cER1osy9HVAazWwkDmOJsr6JkecJT+uf5/WyKJ8pRE/5q3YNDxPobuVsAzN15yz8GPp6v7eqjMoFLVwEfL+R5nvoSsPkLkmttNHdlcrYvNheY/G+m3P1e1pv3PKp9T3cK/VMG3hOeiq2tgkCmeJlqVGcSjlj1nEog3ObgohXfDyj5F7/npe+q7S8kQnPZCpbNYnMpHffU0TjR18ayFBQCtLOeCTIA3Ihe6iL4s7t4fJ5a8/KIK4kbHMUPtJ0K/LsjmoBTcGmqt9JDpvc8jgOrUPxcNI2lHitZvVmjTQWqCmkDULeP5a+QlvexvK6JquV978vZcuH/C1FWJxs2ApRjYciGo+iXZFXOCReAns9oPg4UP8vKggAbADNnQmBi9L0KFZ3z0s+0TvTuVG0jFS6A8fuBw09xfmuXMljORL7PiJ/qslIXgcvTQGJ8FJsKDviKeQlHUZhaFkogIS8VkT5Z7basAp59vwKO/FVbVNMm0ok3+8oLF8A0HARWjtLS4H3vAKYs0z9nz2MsZ8TmAtccCJ+YFUl01uh3AeuvC7MFvXGhctBcLG8hfxXdpeMLgSt3BdZj35vJLtAAeSqjHgv9kSX/ATbexp9lbpDfT0BSIp27vnfQ5NBuBzZ9gRJ7e5R2rmP7qAuTChac8dp49HuBY/9lhkWeGCLd2cjRfBxY0Zc78/FPkgfSsN+c5xOVqbamGE2zOX+rNXD9YDb5L6J1QsMhegHZ3cD1NRwvewXPBcClH5Dw2dFAkLNuMcsXQ+4jkBP9vdor+XNHPRdgX2tkTffCCZtTcnhOJhB0xPMzm4pVdYcV18imNhycpJV9jI6/4lzYHFQXRaUxTV+/R5KYq/9bgYz4Qn2pLCqTXXar1nF+aj4ehuV9FOWtCQOYeSxeymva000mz3X42vS9cowAJSTnyKZmH43ZEhWkxPS6MDPmoaKjietWyVKVm6aGM45ZlYIl3Nx199j8XmaC9/xMv7EaJDLBYWysRJS+Aey4T28SaneTZzPuD4A78SJw0TIu0FsTJ48kua9sObMrsuTS5mD6OXcRJ3Wz2m7rGWD/rylnFWg+dQKRY/ZVFyaAOfkWsPZa7fdLljJtKMLbysxE83ECsZEPde/zPLVUNwk1T30Rfw8m/+0Mu0b+lJskuhKBy7do6exTq2g6BgBz1rD3ixwbbmPKE+C1n/JceN+9vZrlIoD+Kfk3cBH5cK62Y3AlAjNWMGMC0A30k5s1ACKOo7MNg5MZobG/52PHniNYFLujqDR6IAz8RveUBL4O9l0yk/c74rizVBTz0pIjhuqfrEv19vTtNSThKj6tzcKhp4Bt39C6djcdY+NBbxMw4B6g/10ambV+L3DwDwBs9OxpPRVZ8z2zcKUCUABvvTX5ukfDxusiGxgKorPNyfuro45AVengHGEGhuxRBD4po0majSsggKvZRq6X8O8Iannv5HwW34/Ow1mXAllzA5uNHnmaKjtHNHDlzu6ZW57NELJhUz8TASxDRKdsuDAQoHRVNnwhhuJXM6tLqSCTSzBZs9WqwuLwCbWRhN8HnHiRAEZXyv4WMOjeyIja1duAbV/Xmr8CAOxAr7loGPwbJOWM+B8GLsc3ILHqVS4SsvukscutI5olgbzFVBaF22uotRw48Bvg0J81vkDqeJIsc6658ABM0SPkXgAA7MDV+/Q17RMvs0ziiAGuORhep1pfu15uLP5ZtQWwOckdaDlOzo3fJI3b+wpg+grglQRt9x1XwMnXrQ5kTx3w9nB+zsBvsr2BHDt/BOz7OX/OmAHMXYuwo3YXO+8CdIVsq2QpQOx2s68Gpi0HnG4u6rt/DBz+Kyx3w9lX0Y3XGce+WXsf05Qgnez9r3UPsJz5ECh6SHUPlhY9m4u7rpEP64nZ7TUkzB57AThh0cdJNAS0OZhlTBoGzFpJQLL9Xpb6MqYxS3fqHRWURqCUcsSwJANQnWFM6duc3BD0upQ/73mEj1+yDCi8gz/7vQSLcumlZnv4ZoU2F7tzR6er0md7oPtzWJnBcMOu7oAVc+dh/Zfj+YnNBhKH8jrmXMvFOJy5RVFoSHnmXZa2567v+Uap4YRRNmwEKOHIhp1x5tb0gmfS07LhCy0aj7IMVPIsy18i4vvRGLXgdpaFzkX4fVwr9jyiGnSCIH7Qt4DB90ZWWmspo63FqXcg5o2GFiDpS/gfBi7VZ5DYshk48QrLQAFpWhtVLYO/RUfcrnarbasgEfPQUxqASRkLjHiQZnMXCoBR/MCaq7U+K65kYFE5F2CAE8z7M7mg9bkFmPpf/WubSqQMippNaTxkvTuMzddLjZNH0EPi4B/YKNGVZJ6BGfsEbwqxK08cDFy1V1+TF2WZ+P7AVTv1pa3Dfwe2qjyWhEEEaJHU8w/8Afj0W/xZLvs4YghA8hbxfBx9hqUR4StiPJ6k4WypkFDICWfPY5LcMIPdpgd8teu7o5YyuvOWvi5JsaXofRUw803rY1cU4N0p5HLlXkeAUP4Rd//NJ9CtBp1RGZoHSXsVSaPCzK3xCNteGK3s7S6WZDJnMXuWPpnXtW4P8O4l3F0O+hb9ekR4W5g1PfU2uSYtJyIvNRmzICmjuCA0H2MWpGYHv2/9fgvTODUbI4iQcQXMYHobOHZ62u/HZic/IJzO7n4vTcJ8LTx3g+7RntOT6kdvs4U1vfpzKB6OzcmF16p3TjAfm/+v0dFAgFC8lMamIlyJbHBauISCivN1Xvw+Zn32PKK5TLsSmX0Z9K3wEwAdTTQRVZ3GLwKXf8YgMUraxUWl02LalcgUVc1W7W/uFC7WBUuoCOjKYBA780NPaim8lNEsveQuuDBuvI5G9o4RhMC0S4B5khdGzQ5g1Th0eqb4mlWgste6d4k7RVXxjOACIBQ9VrXPjXeSJ2LmlGtz8HGxQNhcwC2Ghejk28DaawDY2JNHljWfXKn+TSFPYMHxyM2wPl5IMqoc6VOBWauYjq/awjKJGD/O+MCJOboXP7tkGS2yxS4pOlMDLF3hEXk9tNs+8jf9zgug7XafW/gZRQ9S4TLtRQJrM1+Smu0hDOTCiPj+XJjgUxfGb1I1YHcznVyxls62xu8K8Dnpl2jdk9MvCSTOe2qBVRNYzs2YxeaSZSvo4tp42NpHw+bg90geRf5Z/g0aCJKdZOt2WY9rs3DEstScPJIKp/YagqXGQ9wVh8o2OWIJ6uJUxVfiQIIQX1PwXl9nw/TQERO8s7sMgpxxas+yBl6TtkqqxJpPAC3HIpQNmxiunU/Z8IUUfh9tB0qWkb8ispA2llFQsIQUhgtKyeQncb/oEW5oAcnR+zvWAKa1nBy8w3/WeErudDQkzUbS5S/9DwMXwXFJHkluQeZMfaq0/gAHSMm/9aWNxCFEs31v464x0mirAg78jhdFLGjJo5iByV14/olgjUdYZhGZhN5Xsv4tuChWk5A9il2wkwxZlJjsyEDZqgn6jrrBYsj3gTG/1H731BJ4tZ7mTTH2t9rfqj8F3p3Iyd0ZB8wvjti1Ea0VwGvZ0MlnhTlfWyV3r0efAfvzuNSFRPJHgI27W0cceSvGniAD7g6uarOKU+8ART+jc6yxFJQ6Fsi+hhnD1pMEJJXruYsFghuLyeFK0tvIx+TyfB9+CnCnA+Oe4GJ//HnzUmBMDkmQzjjzcWRzslwlLPTTJgWfgOsPAWuvVnlAannFKgvkTmU5JWsWd6MpwwOf423heTzzHsdfU7HqDBvkPdMvIW/F38YMUfNxgr6OBuvXAaqSrBczfukTWYpOv6R7i7Nsemjs4G7V2b2jnsfYsE8FaD1seqgLO6+nM4Gbmah0noOYPAK1qAwVHBmAkSvxImhpOEhF4LF/c3yJ6O5adC6js4faw4aWJPeoACaNjzUc4ga/eJm2BiUMIMev4A40tHRcJOd2knNtDtboC+5Ud7vSLlyg3OKlLCn1FMptryaAOfgnbWeYPIIcmLzF5w7A+L0EK4IgW1fExmhtp4O8yAZAYamr4DaClYT+3Z9gFD/wUkIIDxH1s21O4IZmrZQFABuXsOySMJCcF3FNmk+w95K/jYv5VUWRe1IceQbYere20AsPlpz5lLru/rG2M9DxpOxs7pd/I/CRwVwpuhebj/X/cviARVFYJqvawmxF9SYTY7QIFiCbncApRupv07CPZaHoXsClq7kLNitZbfkKcOTvvGcm/JmPvTeD5cRgrscAuWNplzA7onTweqWMMn+uR02Ln36HwKvlpDnBGFBJxoU0BcxdwHvUOC6bjtN8q2Itx3xrWXBZrD2KGTp3Kt/L10qg4qlFWJb38f1JWi7+J8/3ojNnrx9ZV6LlJPsqdTQwK5c4hBmr5hLeO22nw+Dy2FR3Zps69ntwKXDGmQAas2xQknWJzBF9YWS1ww1PLXD8Ra471Zu1x3si+38+Q/Hz3it6hBlNgFnpvEVAWzXv8U5bkUnA0O8DOQs6kwoXVUVrvorE2rdMfBJsnGj63kIkKJc0zkZdsb2G3YIP/kEDMEnDmYHJu67nAIyiMBPRqeIRfJR9YTiC2tkIMGMaDakO/Zk8lOhewLWHeo781lTCRoBWfhzOJJanFC9LHdNf1v5W9gbw8QKer8vWAxmT+bingX2POup4HHM+ArJmhP+dPE1UJ1VJ1zt+ADD9JTaslL+rsbyVORuY/Cw9TXbery8Z5S6mkkkGvH5VcWJWumk9CTSVAq0nwi8JOGK0DIkwTYvJJvfG1wpc+h6zEPLC3nwceGswZabTXqGRolkofuC1HJYEZr7F55f8m8dqFe4UZvAG3E3pcOsptfGjmz2K7E4C6TMfcJNQtQFoLA7eVTgqgz2Iel/F7yqrF/x+3qenVhKMNx4k2Ax2/pwJBCiOaM1czlMTwvLeIVnej2bWqPc8ugrLsWo8gVc4fkE9HZ2y4WIEWNOHIxu22QluzbxM4gr0smFFYQbHmO3pqFczPmE+3pO+PzandblLgKBQjzsTzi6B2e+lUWDJUs5nYl62OXjfFC4hAburfMsLKQSA+fQ+vYcVwAzk8B+bmsBeBC7iwD11zHwcf4GZB+OCGZtP+fPQ7+vlz51M7mWcEEQkDKChT6RMbk8te+EcfEIj8iUNYx+YvOsju2E6GszlxlYyU0csP0su8SQNBzYt0Zx1o3sDC8tI5vS1s5zUdAQY+gAw+ufhf7dgIWTZRmUXwJ10/6+QwwEbsPiMVuppr+b3aTtDjsiYX/Fxv5cLowCnkRrola4ANtyiTaCOGP487Ccs83R6thgyHAmDgMnLSAjd9wt96UR0u04cTImi3OumrRyR7VRtXLgzpjFbIZdyYnNJsDYD0asnM1Mz9QWgz036v62/mbLGzJkEeWav93uBvb8Ein7M7wCYf2+bk++TtxjoezvgNgBccb2jMpmhadivjlGzc2BTZa19WJJSvMxWjf4F/+yp5/udeZ+k2eZjIeT1doIcRywXXF+bqhIKBuJtfE1svmR5f0V4CjuAPk877+d1n/NBeK8JN/w+FdxaEGDDkQ3b3SQvu1PYxTdhgAZMYvPOvWzY51E7tpuVuCxKYQEgKETZLtJwxofP/bF63Niuom6PSkt4TmvjAXAeLrgT6Ps5AsP/L+Frp5p3/2+k3kjSBtARyzYCQ+4LKOdfBC5mB+5tIxmoZClQtxcBaeDoLMpdh95P4hwQnnY+/7rwyZaeWipXDj6hTbyJQwhg8m/UAxifh7tII0iRgZQcNjsXiE6yrPovvsA8s+NtYYlFNKDLuRaY+QZ/FhkOuxu4Zj93Yd2Nfb8Edv7A/G+TlrLLqLchkDT8ya3A8f8SDFy5Q5sY3hlHxQdA6fLQ74f3PfxeNqE8qR4rbHSpLV7Kz3fGmZM2nQkkeraUcqffuWO0yCCZhc3JrIg7ldmBtnIDiLPxmg39AbN8XXE43XQXyxbDfwKMfER7vGId8P4MjoUrtjN7AJD0W/YqAU3VZmuA1dkhGoA9Frh2nx68t1XRavz0aoKLlpOwLLU4E1h+zJhG4JMxg6Bm9XiO74SBXFjr94XuI2SLYrNCu5tZLW+zhQLI8PmxOQT06VOYQQmzEZxliIyizQ4sPEUTvnBDUajACrCmVwFKy4nwZMNm1vTxhZQNdzQAK4dzDhr5KDD8R9063AsiFL+a/Ykw2yMeF6Ap3D5V4YTdrUr9bcwmypklRzTn5vQp5Ax2Zn2MJbL488+HjDQ8dbSGOPgHDaC5kpiBHXAP5+o9DzMrCRDADPgqN6PqvXIRuIQ6cL+Xqe8jf6OBmLGm7koGes/lSRXNB3vSrdBTx1b0B36v9eCJzeWAho2Kj8aD1pNVTI4+e5I8gjdCsOZ0ZtF0jM6fQkY69o/A4HtUH4jLucPNWwxMfzWy9zUL0RfJGDYHG3Bt/wZ/n7cdSBvLn0tfo/OqzQ7M3UiyIwCsuVaztzez+7eKivVUHgnQ6E5lBqdyE1D8j64fG8BSUnw/tSt1B511My5RsyS59Aw5+ncS04wco+je9GQY+sNAM7FIY//v2GdLvm6Kn8To2k+Bwi8QdJ94ifV1ozRZjqSRJNj1/RwdmIVp3vineFxlr/M9gtmr2xxcRNPGk0gsWm+IstHpVWqfnW3W3BYR9mhtjPvbQ5cbHDGq5b3qgNt7Hv1hzpblvWhnMeHPnJTl6JQNF5sDlEhkw2YAJRzZsHCGtruAeduAlJHdO97/LyFUU8GIzqEel3sDdTtskulhBNmeAO7POciiNZdyI37k79oYjs2lu27/L+pdwBWFpd2ihzVlpiMG6H83MPT7aOiIvQhcwj5wvx84+SaBRPXGwMnQGccd4eDvAL0v42NNxwh8Spbp3Xfj+qqlpDvM+0O01+izJzU7SGKy8p9wJWrARAYq4erkw4nT70vEUhtw5afcjdftAd4ZxUVvzkeaU2xX4/U+mtJGjl5zmVJsKeWEPF89n21VwMphVKgM/QEw+nE+vvXrzJwBzJDNekv/forCXaXgkbSU8d/x54MTSoOGlFVxxgNZc5ihistnh+j2SnJBcq4G1t9EUDD8pyRjn3gR2P8rynDlTIYjhgZ1Ix/r2QZ3p1YDa66gWuyaA8w0bvsGUPwMgmaHojJoopgxjQ3S7C5gcSUnxNK3gHXXii8O68aFdqZ/k0cSfLeeBKYv53uWvUEifO1OjoOgC7WDk67NQYDjb7f+3oBqeZ9JflLaeCDrMpaxnOew/OHvAHY/yPJhwiACR7mcIxpuBouYbJNsSYEkG+4mB0NRuBEoe533+LwtF05H+89iKArHc8kyOnXL5ocJA7lBSBkDQLHO9pxN00N7VDe4P+rvznhzQFy7my7yx1/QssbJI7jZz78pOGhSFG5Yih7SHHQd0Wjo9XkkzfrLReDSpShfA+z/LVUJRq8IexR3bgO/BuTdwAtq1ZEzZQz/OeO4YNYVWdeibU5Kxjy1esfYET+lZf3ZlgzueRTY/RP+bI8BFldw57/1G5TEJo8Ervi06xPntnuBQ380/9vwn9BKGtDzMgQfI2kYSxuOKHIvdqnlprgC+s20nZKIrur/3SX+JQzkYnvsP1LvoXz2PCq8UyPQifKLK4nnzOEGjvwD2PIlcgm8rYayhZ0S5mEPcGE7G9FwBHhrAMgbSbN2ko3KZDYx/wZONEJtt+sn7KHkTmPau60cliUfVxLPVeZMIP96IHkc0LiH/KE9j/B1Zp49upA5RCHKbp2W94U0esyaReDr7plJLmgofpKrA6zp1SxKa1noFgSuZHNr+rgCtmSINGPalWg9Q1sBTw0w4iHOMRcjsmgt59xQskzf4y46i/LlwiVcxCMNReF8E2m2x/h4qOxdJCGbHrqSACgsBcnzSnwhXc/TJpEnZpYFsuoXeOodZgE9tRcN6HrswGt3knR3enUg+dXmJGkyZ6HqhbILOP0ejXiCSX7j+upLPMkjOPk73DSJO/Qkte7ClTW+P+vRfW87ewBGUYAPLwfK3+fvCYOBa/fzO7w5gICqK2oJv5+7/zPvWTzBTlBUt5OT+rxNzI6UvkbABBtVJd4WkqtFWS2ciErj+8s73aQRBJzHlmrW+3JE9+YCfOJFvRdJVAawoBRwGhj/2+7h9SpYAoz7I2u4xcuA/2vvOsObOLPukWTLci+4YdzpvWM6hNB7etuE9ORL3ZC+yYb0XkjbZNPJppBGCzVAML1XgzHNNmDADdybLGm+H2fGI8mSLNlyZc7z+FHxSDPSaN73vPeee67+ouV2PtFA4t3UT7lqilcXDOVA5s/UYF3a48DyXsNUSfxNQMz1jEYYKlkplLWModuyM47z/RpfVsNFzwTCxwN5yayUuLSbkUd9AeokHlBZeuDYhJrEzzee6YzwMTz2xhYx6gste+WYE5SyTMddywGxWgkkq2Gj+T2ZExRXero0JjIXUpiu8gAm75b1Tgrsw1jFyHz6Apb1StVrai1L8xNuZ/ftluBLYzJy0V1f7U9jmh56+DOKo9FxH+WnazSFxRUeCLzboBAXtyJ/F1eRuZvsu3aaw9yUTIJ3B6aREuc4bnxWXcI2AmnvmhGYRKDn8/RWaYzwrqECWNZR1l90vAdI+oIptL2PcqU744Tzg6++FFjdzzKVZg171v91QRcN+MXULgeWKm9MBiB5KlAmkhO1jiZqOetZ8m4THixxlYiObzyV73sfY8Rg2hEgsIe8uckILIoC9LliJ+gzqDVph41iU0t/N4ibJRjKWaFw9g+gYK/8+7CFwF60q4eRPaC8Qvi63M2i+6yDvLwuktGhghSgQqzcChvN1VZ5lnN+PM7Cw49pv7CRdLu1lWZ1B4yVTPNa6EvMCEpdxFilZgWOLQGsXwJX3GkfsAtu+BhgfHLjfI6GQhCALdfxtxDUB5i0u+00I3QnBIHVgxkLmGo2Lytvl8RxPPYG96buWwokwfjJ/1J0W1M96QEEdObCQl8oeh7ZqxZ0DUrEpSEfvLqU+XmpJ4/050yOWoJPLNt1d3scKDsl5kB/thwY2w3lDz/uBvvNqapLqec4+o68kvZNYAQm4Tb3E5jyLGBpohzaH/EbEDOLwszio7Uda41VZloSM1+S4mNs8OYqY9eI+VRDCcWsne4h6Uh9je+l9mITSL84+++R+g69TKR9hyQBUZNYnmc92ao8ORGVmUVf/BKBns+x5F3tCWyYyhVW39eZ4gEoJN39IN1sLaAWw6XBwIWV7Pg86GPXvgNr6EuB0/+jMPzSPjtl7yoSjdAkIO5G6lwyvqXrrT6fn8PkwDhMG0IBq0cgkL2K7xXQnRGcOkm6lP+uY3jQ+FLDEdidAtmzvzNKGdANmLTTUsRXX9SUDdsSwKbT66gueIXZtqb3TaCmqa5rruw0sDQegAq46hzFwS0RlblMGVXl165Au9xRfo4lvekL5GaCgLjwvJUR1sBuzXd8rsJQKY/TldkkG5W5XPToL5GQVReLUZpSVkNVl7i32soeVBqO6xodiqt0CPzHeYW4OITUXdbCDyXFdgoBAKBiCad1mscrkhb/p3/khG09gHt3YCix6z+ZEklfQGFSTajRi/9PvN22EyjAUNqJz0hgpBSGbzw1Fwlz3LtaurAB2DBOfKAGhn7DlNmx+ahJ3eiLeCE424nXJswmvA4z2MTw/Epg640MYU/aSQK4LIE5W5UGmLhLrjiyRmU+8Pd42bFR5cHKjgureZ6t9x3Qg5qjanEVpW0HDHhX1BSZTU4n/ktX3eABrPo6/bONVFAcy/66zmUKRqqGkgSyrkBfzOqrs4tZBWTTPEzFCTF0KBB7E8XC55fR6+TSPoZf7ZFGjY+sEdFFkpAXHnAu4uBMJEWt47kyljHq0PtFRlLMf9e7H+Dv2TOAAlFH0Udz1CobtiIoTpUN+9kXwPrG17/xpTkkL52BHwNdH2r4+zUWpK7wKg2vt5CBzX1EzQdDBUXLGQuY2pb0Shpven0l3k6xbVN22TaZSCwqznGsqsgWCUc+/6oL5JSPoZTzhLGChMNULS5W6tBd1QsqsbecB+cetY6Vgh6+TAV5BjIyrw3hX3kmu9hL0XxtO6D741zYmRmcKuXQ5h9cEHjizaMnRYfFjq92GKUuorYfSmCPuq3bDXqx5PUbirasJw+p2WPHu7iaTf9Obk4FcCJJ+AfJSFAvG+9fxrDd0bfNCEycSGBud47AmAxiuP+cpUGaeRVOWabzfW7UXkzV+HQgW5e8VaAG+r7GUtqNM2VCYf5ZK7NBw7l8QNDLosFe81hJtDQOqMrlNqOXAdHTbR/DqW9JLiRhs39nliZL3bDN4R3F46xJk4iT8cSdcrl1zXdl4nd98FkbOxVfN/R7IPFWy3/pC4E/2nHwm3XGsYmZvohmh2cXk0DYJSpR7JocewMHiHN/AvlbmYpz1CzQw58ExzOQ25UcA8rP1+11UhdUnvw9+3fihBdxBRA5ntfIqgH0chm9hKTcHCe/BHbdy8805k9WYpmjutSGANaMoNTVGFHtSSJpLYCVCIpXu8a3Uk/7ANg3l6nCCZsad18NhVQFF9gLmLynbTi3OgtBEIsrFlDXZl5cETaSZCX2uvpFAw16TtQVWUD5BY5jlblcKOgLxD9RSGsoZTTYWMkxzFQtzh2NMeWqxSiHludaowOg4XhonrbXRfKajrgC0EWJjTKjGcV1xk7AZGDU6vCrslzAqx3Q7Qka0NlwZFeIy773EWA4KRMVeytJD1/b5cbu6DViMnF1fuIzihetS549A8jgO8wUG9j9ZBnBCBkoOiveJDepkmAoZ+4x9W3Z7McnlqmciHG8OMyJiHnFTWV23dUP1vAM4qR0dhEAE9DnFR63TwcyapUK2HkPcEr0QvHwBSbsYMM7kxH4xYfExBwqLZ8LGwOM3wBsvordf4P7AeO3Ux9Tcozb2hMGG8qBDVOAPGlyUAHhV3BCtyalngGiYZWouPfvQlKV8iI/3zX58moqbxtLW3M3WVXEqNksMHo2vVK0wcDVObbTB2uG0p8k6Rug4x3y8/pCsTfWEpZI2/xtqvjdhg4DQscwtJu3ESg+wpJ6e+6zniEigSyUS89VGveI7CSzNkkoqwu1vZ3JCPzmx0F4xgkSGwl524B1Y0iKE25n6wZrguJMFK+mbNhGhY47yoYbirKzwNJYACpg9tmW3STP3Hag57+42GjrKDtNO4v0BbI3EcBFYMJtjLCoPBnlkFIrVflmqZVCcaIvlU3mjFUi6WisKAfEKIenGekQoxyefpZRDq92rBrUhZNwSO1APM2MUgUTI9ypb7P/mISoaTTzDBtVP4JvquZ3e+Q1OXvhFcoy6c4POIxoKsTlS7MmiwAAldjd2Iqk+MY3nUPhuZV0FczbUltrofHhJNVuKCenc8vliIfakz+m6KuoB6jMkYlI2WnWwZeecj5CAogOru3ti1t9ohnOW95F1vb0fIE50GMfUP8w9aCsnVg3lmQB4GsnHwR0omCt5CQrkywPADWT79TDJG7b/yFWOexh+XTeRv7fXtuBrGVMK0mlz9owsUtyltWuJD8QcbuArrT1j7uR1VsHniYJS/oSOPg8tRfWUQ9tCAesiEnAlavlVEfHu4AkO8Z1Ullx9NVsCpi1jFEnm2JkNb/7kEGsbCo/y20rzts/r2ofQNeOoWxTNQdWZ0TjdcEzSDxGAej0EHDyEw6AV11w7lopPk5TQ7UWGPIlo3dlGUDRMbGhnBODujbYUl9ikc6Ja5qy4YbirxFczQ/8EOj6SHMfjWOYGz1O3CGbbrY2mAxiSuWCTDoq8qjzqshhO46y07WvQZWG0ZdG656t4tim9uQYVZNa8TPzTgkm4dCGcuHsHSmP0bpI95kmGqtYyn30XVm/o/Zk1Wq3x+vvIG2qJhE88rrcn0gXLhKW/3PKXV4hLrWIC5j+qRVd6el85153Im87K4ay19u+iLSh/IFX5skTrqtQe7FcO2wMPSLMe914hTu3Kq24ACyJlSfP0cuBnbdzkhz4ERB3CyMjUr+g0OHA+I2WeoaspcCm2VafUexX5N+V0ZYVPUkWer/MKEvmj9wu7mZgxI+WrzUZgM3XWjb8843nBGm5E3E/YsQkoBsN4cxbK6yfDOSskUWs5vAMYpi4z8s8thU9OBlflQ2s6MYV6hVrWAJpjsp8IP1brjqKUux8sSJR8U3geSrPYh7Yrv+MBwc4jWRrX2LftNAZePixqV5QD6DdcLpE/z2OK0q/TlyFRs/i9XHk9drnQV9g28ukLIN9vuoi0WqdjVSOGUExb37aWpH2IbDvn0w5TNhc5+bNjprWGt1pQtnU5FBfbKbluMDrq1IkHfoCRjkkjxKDVZRDMLi3dNcckpZDreV3otGZaTkCzLQc7Ug4dBEi6YjieNsUHkPOQF/IKP2xD2WRumcAXWu7PlL/qKBRT13QkdfkdjS6cKD7U9T9OdsOBwpxQdHh7xBgPCWnikrTYTe87texdqrIv1PD6/EFQaxTt9KQVFg9dqVayRzaduzCK/VZ8e5Axn76V8vmf95R1It0uqd+g5G5s67Kgxb5++byR28yyNEje9GHI68DB5+z/d6jltDR9dyfFIu2n8hjB2zrA/K2AsnT5fSKxoeDl7WTq3kjx8AejLDEXicTluy/gZR5ll3ApdeFjQb6vASEj5SfFwRGEUpOkPwcfpnf9VUXOKie+oZRssJDdqIeag5oXiEcYCuyHQthNd6icZtB9A5pwErQM0iM5iXx+22XVHv1lruJKRyp0aRnMDBmKbDzbponRk5imNnZsmGAVUShQ0gqCw5S+6TxA8b9Rc1NY+tMmhvlWcASUds0O6tlp4sAsZlpT0Z0uz8F9H/LudeZTGJk4xy1HJWigFSfz7Sm/pLoC1Iiko5y6quMooBUcFDt5m5IRp/e0eyPow0WUyuhvD514RwvfaQoRwvwZGkoyrPY4PfkF/LY5N0B6PZPoNO99a/mM+q5QDvyupyW1kUyzdTpvnoFBBTiYv3BDWVsrChVDhUe5n1zkzFzqL044dWQGfHWuz0HXJPRTOBqQ9wq3XfodWG1P58OgGc7wFBIRlzL/VAUaHoGMhwPcWK21RbdWMnJNPUNHg/AY+/+NH+sHt4ufKsADjwHpIrpGl17rj7KT8vHNeADoNujtl8rreSs4RUG9H+XXarVnkwJHRZLMv27ANOOyhOsyQTsupsXSs13prMhMDVzYQ3sKUZYrmUIvDyLqaCsxbX7ivh34YXc8T77Idn9TzK86pvAyIJXOM+vTZdKNVdihrK6SwpVHiLRMtbdq8ce1Fr5ePSXWAIedy2POXoWRbLmMBn5u5WIyMn/imkcF6ALt/IzEfUmxz5iA0upfPz4f4A9D/IcjF1VO0LVlrF2JMn2gPn2r4/mhKGcepzKCxxzstexsAAqIHwsJ+4a0lFuJiCt5m+1saIcUHNMkFIrGh/+efqxZF8baKblCONv0SMAKDpEQX7+dvmtPAMYZU28nRHhtk6YJRSmcLzK/MlsEdeL3lRxN9W/EtVYxd/IkTfkSHtD5hYzKMTF2Q9emWtZbSSRGnvpGZVG1EtUw+lVgjZY1o2Yp2u8zR7bqnSovAQcew84/YvtiJE2RLRkz7bcV9xNvEhDBjGMav0j00XSwbXTfa79yKScvTXqctRd3sPSC0FCj+eAE59wYIy/TWzAKHACnnVadpgtOMyIT83nNCMnthDYizbmMVcDRgNw7H1OzNapJI0PB+LIKcC4lfbfr/w8SeDpn4HiVDsbqcUVhpoRC7sERM3zLJhQr1WmyoORNr9EtpOIGEsioA2kdXbyVA72Uw5zEN9yHc9310csBbBlZ5xL55gqmVbqeLcVQYm3HwJe2Y/6nNFLSd7WX8l99X+Hg+blBMm8MXQ4MHGr+97XZGKktlxMrVTmsGqlKk8UkBaaCUjLzASkejG1UpdzcX0hlsmqJQGpN/88/MSmgQFilKMdxzxduFlqJZqLIlf6S5mM7H+VsYCFA+Yd2yMncDEXPbt55ADNAUEAcpPpZXVhlfx8+FhGQtpPrj9xM1YBp762WgxHcS7peE+DCIsEhbjY+uCSB4R1lY11KscVW3kJGh95BRrYnaShXZI4wLvhojGU01o+439AUSpqDToevvx85hGegO68cOP/wVBo+ndWYb0IszykE8doqgZ+8TWblEWBbeQEaj1sXRAmI7DQC7VTOV5A5DheXAHdmY4QjPwcM9P5XQLA/qfpXePMJB/UhxGWmKvYoiHlFRrEma8K1VpWHfV9hb2ZLqypvRouzwJOfk0DuaIj9stv1V4kIPWNkjiEGLHxjePnChtFR1mfKHmTmrLhdAqgj7zGtJVXKAdwZ8uGvcLYXBRgKmfU76xoO/Q8CV+Xh4FBHzl32CYj8Ksvo0zjNwGbr+FkGncTfXoul9WuhPJzYrpIkMviXTYDqxBTK3oxylFP0lsn1IywqDxEAiAwZeiXIGs5PEUBqS6MCwzvCLFipQMJSWN13bZG8TEKQTP/J0+iAHVsCXNoKeET3TTH0hJgMpC4HX0buLSXz6nUbM/R/cmGia2Nley/ZiE/6CDKD+52qxZKIS7bnkeAtkwUemXJKxNnBY0evnKljRQh0UVw0Kgu5mBTmkEPlhorZCuoPSk+NdfPBPVm2XJDBnCTgRGAU1+yGsd65azWWpbkqdQkFwm3M6V09lcbQqo6lN8GPbB2mJlHiwhJSzJ6GRA9o/brpAoTa4SNFkuYPag7MVVR0zH1IIlf2Rlg/TjH7QIkBPcjYQnqQzJy7k+r9I2Kab+ujwGJd3BwNVUDvwdzch8rhpbPryAptJneU/F7dHtoXEWRn080dUqhI7gqCuzKiar8TG0BrPTYKfM/kVy2nwa0G2jpCOsdxe9eqpACgJG/UgsEAMs6U6Q7eil77jgD6XxrvNnvqnA/z8+Era1/1VtjBpYlVq1IZbIXeS70BXLPF4OUWqlg5AMmuNwGwWmonDcD04WKqZUIUcsRRY8O6/5Z51YAG6fzvSdspgVAc0NfwOhz+gKa+0nwDKJlRMIcav4uJ3JsKKOHVdr7ciWPxhtIvBPo9ljDWmcYKjjHpL4lNwf2iWZKv+OdjSLeVoiLraoiC2g4QUpREetUjmeA8xdA1aXa7QGKDtfWUUjwDJCrmywceENc/LTgYHp2EaMxF3c61nwAHMRir6c7bMlxsXQtk//zCiOB6fKAJYGpyAZW9RO7BAMI6kejNACABoCRlSjTDtc2r5LKLC0gTtaGYlkMCjVw5QYgYjSQ+h5w8Om6SUJwf2ooCo8C6V/JqTAJXuFAwi0kNeb9lUpP07sl4zvH7+9uqDwoVA3oRnFq5ESmccpPW1nTiwSl4lzdfjvaYBLholSuxuNupiW5XyKjNX+PpwB52P+4CrWGsYoEzljBKOHk3Xy+NJOOxSoNcO0l5wV80vmWyse9Qlne7hvnyjflftQyA8thxUpVnuzLoS8SCUdZ05qBqTUs2dd4iakVScsRIGo5xCiHV6gY5WjP340rZmD1wY47GKX17wxMOdA8xNNkYBPPjAWsTpT0YioNCX6Nrq8VlMe7E5V5HPNPfCr3KvMKpRNt5wfteyw5A0MFhbxH35Krj3xiONYm3tmoBoWNQVzagLzaHEbRPfcwqE/w5kChC+NKxDeeF2xgLyCkv2NDOq8QIHw0/yQIgujFYU5mUoDiNBKa/G219SLeUbXFwIHdHV+UajVFmHHX8nH2erLv3E1i1MFq4qsuIos+9SU/X+IdHCxPfs7J8sBTDDd2f4IXQPFRVptIueOu/wQGfsDGg8fm83uEhivz4x/X1jAUHKx9zNoQWuartfL7Dv+B3/Wq/owiOYJUfZS9Dthyo+VnVHsxutT3NXYVBlieK3X4Lj7qoOTYTVB7cUXr3wUI7k1im7GAz7WfQGKS+T/g8Ct1C3c13vwtWnuZSFETbSAjJoUHgaC+wLDvLcvcA3uSuBQdsf3++5+Uv4+h38nPS928Q4e6VnUg7Ud/iZPLyF8bRlpMJhLcMjG9W5kjRjny5IqVZjEDEyNwNs3ArMpk1V68NiAAw39mGs6nQ8uPQA34gN3uS06wKnDgB02378LDvGYyfrDU8AX1ZmQl/pbG7xTeElFykuN7+rdyp3K/RPqvJN7esN+UPVPTnv/ie7dSR+XWFXHJSUeAKZ0XQPExRhUqzov9HQp50l0K+6s4QHn4kajoIslC/TtRoxHcl2mhulY/Rj0jHeaRmcIUGx4k0m7VIoGySjf5JdZtBnZxD0lI9jo7NvJmCB/L/eSsl90OPfxEnYTAzz/kC+Y0JViTDM8AOqVK+hQA+GsUkG9VcswPhpoVbL83+X3uvMexXiSgFyfqgv1W6RwV00Tdn6SWovQUU2nZq4GitIZb29uF2qx8MpqfQSN6skiRk7o6X6s0/B3Z652ji3Ac+StMYTRMMAFXJgMRYyz/f+xjYO8jXJWOWWb5v4u7gTVJAASSrBnH5P9tuZ59bHrNA/q86PQ3gnVXUBwIAP3fY0VXjS+HmRlY1UVeh/oiMwGpFOWoauQoh8qGGZivSDqszMC8xNRKjS9HVP3MwNaNBXI3soqu++ON8JkaCedXA8lTAKjY6dp8ceZuVOZTAJ+xQNZpADwHcTdz8gzud3mlgiTk76LWL2uRHIUNGQz0eJIGlw1xiq5pI/OOHFX3jRMbzc5p0q7hSqrImQ9u0AMlqYwKFKWxi3NZFk9edYFYyuqiyZfKgysvbSDDuj4dOAEFdBXJRz9Aa8PyuLrYqlxb/LPZCRjcR2BP9jMyj9J4R9jevvgEc5Xnl8s/TpvH7w2EDuR3Yu5H0vEeNiA0X32bDMDvIbW3S/pCfvxrgJWviVXqquO9JJaSS64t6CJ5Hqy/C117Xlix1wNnfhYjKscbgaiozEiciZqAyvOWXjGOoIvg+TVW0P04aqpMUHyi69/hWxCAvyeQbMZcQ1GtNbL/Bv6+kvuaaaYXMlYCqweKQm8A/d5i1QHAgfGPUJLdAfM5gTtjBmaoYMSjMVHLDMxb1HNYRTm8QmVvDu/24l80oK3dH6VJIJWEt0sCJu2oe/uWBKmVh18iMPWQS4ZidcJUTdv59AUcm6QGmSoPoMN0Xt9RU5t08mwxEEysFDz6DkmvhKipXKSFj2kYibPbuPc5tj1ohu9cIS7u+uAmE/PiBQc4yJecFKM3F5juqC4WQ3aufDUq0X3Rn4OrdyQZrn9nIKAnENKPg6xKxf1Y62eKU+UwoTW8wqzM9HpTmGreH6L8PF17z/whVxg5Olbps2mD2Qupy8Oys2nZWTZCNP/8k/cxvWYyAAsdTMohg0jW7JWeq71FEmL23hpvIHQkRYUF+0SiUke6xRWotJwI1V4kJfoC1Jlq8PA3S98kWjnCxnOgl1Jr1sSuIZAcidVewPSj3KfJaNYS4jzD/Aee5PaxN5JE6osY9asy8zDS6PjaRjMDMy+T9RJ//6LluYe/rOVoq2ZgFdnA4igAAjAzg7+L1oLqYmBFL6a+uzwEDPq44e9ZcID6mcyfLA04gwdQtxJ3k3v6xbVGGPX0vTr6jrywUHsy6tT9CdvNd11BdSlw4j/0eJG+e79EkbDcWv+FlBugEBc3fnCnoC8Fig6Kqak0pgkqssRVaiHD4K70EgKYP/f0ZeM8XThX534dGdb3CmIevzhNTjmVnIR9d+CE2t2u/Tszr5n2AS+UkhN2Xg+WLwsiQfAMomK966OccE7/Dmy9Tt42bDTDysXHgBXdbb+fRyBgsJdGsa6+UHEQU3mJDSLdVX7sZKWQtLqvLgYCegCJt3GFWHyUJms9nql75SNVafgmALPSbW9jbQZWo+W4KKZWiszMwMrEMlATCQHQxGZgvvxtSmZgBQfkqgaVJ7s+S2J3c2H05QwpjdYa/WwurAU2iMaBV26gf5CrqMhhK4+MBXSYlqCLoGVD4hyOS5cr9EUUxR6bL1fxePjTrqLrow13Xq4uAY5/yv5sUkWiX0eg1/PUDDUjYZGgEJemJi7OwGQiOSg8ABQdpaBVmqj0l8iETXq4tOJVaTipegbS1MnDn5OLYOTquiwL0OfZfq3aS2w82ZuTTNqHgMlJp19AJDD/5EW1/0m5MzQAjPyN4cc9D9o6aOc+o+Qm2+h24Cqx23AibPbO0YYCS6IYfZEG7aPvszt0xDjgirWMXpSflxu7VYkVK5WilqPqoijGFphCFKqbzgxMMPH9Je2GZAsgGcwFDWApu2QGlvomcGkP0P99oPtjde/myJvAwWdR04XavDpJgYwTn1FIHTIYmLyruY/Gdey6n+JN33hgaorDLr81MFbRniB9AT2bJHKt1tLROWEOW5a05mhaQ1F+jv2DTnxuZskfxUKITvc2vG9XdQkrkNLekyuQ/DqZEZaW890rxKUlEhdnUZkPXNrPLtHFx7mSrREWF1FL4NJEp5J1AWqNbFRnb4Wu0QFBA5njLMtkOsnRat7DnxGYzJ/kFvEeAYB3DFBip5qlqaENIRHxiaMdvWAABv+X3bjVHvxuLczAJC1HAT1lStIAqKn3MFWJVStuTFHVgmgGpvYkwTBv7KbxYum7YAQiJwORV5ilVkRHZm2QLCCVfFp6iCXmR99l6sVQxoFywjYgbBi3NVSwPNpUxZYLgd0cH+b5VUDyNAACBcDn/uRkNOy7RvxuWikqckiABRNNFv0SmvuIXEN1CbCyN/2fOv8fMPg/trcTBBLf9O8otjUvDGiXxMhK7A31s39oSyg8zGvx9E+ytiewh1hkcHPDNSbVxRTnp70v6wP9u5CwxN3UogiLhBZTDv3pp5/inXfeQXZ2Nvr27YuPP/4YQ4YMsbntl19+ie+//x6HDx8GAAwcOBCvv/663e3bLHShQNQE/tmDQS+Wc6cwD1qaztRBZS5/pIYys5SKIK7wq2sZ2NqEsRK4aMOeXKUV011WpMlQIvYY8kSNr4uhuGlJi8qTk7WHHyd2lQaAisdrquZnKs2gpkZK2e120KbAJkxONMQ0NwPzYlRL0nLoC5k+9IkGomaIZmDhVlqO9rXNwKyx825Gb0IGA1esqLu6LLAnb3O3yCX4nR8AUl4g4QlNkrfN20zS4hNNQbkjFJ8Att4EQODKUF9kuT8FlvCOYPVezt+s2JLE0K0Fnv5A0jcUe5/4jILwyCvl/5efAzJ/kNOoErw7UDuRMKduItzWIQgU2h59h6JkCeFjSFiiptR9PdcFfRFbTRz7QCaNAV3ZaDbuxoZVILVCuExcfvnlF8ydOxeff/45kpKSMH/+fEyaNAnHjh1DeHh4re2Tk5Nx0003Yfjw4dDpdHjrrbcwceJEHDlyBB06NDC/19bgoQXaDeCfPUjC4kv7KegtOcHoQcV52V7cFd2NUFeFVWNY31vDTppJqJbTM/WGZHkuaTnEPiulGQCM7Dfj31kuk83dClxYAURcCYz4qW4zsPwdwF/DmBIc9HH9BpBL+1jqDQADP3RukJOIxMWdAASWlUqVZR1mWL6H5N8SOd6xbqe6BNg0ixHA0OHAwI+A1YMs96egNmKvF4nLr62PuABs09H5AYo7d9zJlFf239StZK+VS3U1OpbpJs7h9XGZTZa1YDKylDn1HeCSmEZVqfkddX+SXdQbCn0hCUvaB3LbmoBuQK9/M8J1mZ4Dl1NFSUlJGDx4MD755BMAgMlkQkxMDB5++GE888wzdb7eaDQiODgYn3zyCW677Tab21RVVaGqSg7ZFxcXIyYmpnWnihobJhOFdjnr+VgbzkqXyvNMTZWmc/VUlUv2Xh9hcZPC2gxMKpO1NgNrx9RG+Wka7yXcJrdzsGfcdG4lsHEay2lnnbW8+C/uBtYMYTTlmry63TtNBpYZVxcBE3e6PlgJArBuNA3l4m4GRvzo3Osq84BF4kJB1x6YdgRY1YcRujHLgQ7T5G0lb57hPwLxN9s5DhN7EGUtYaRo8h4SuV99Gd2aldn8TrktFZV5wOJIfoczTjbMkr25oC9hW4fKC0xlmswWLGEjRYuC6xquzWgLMJQzZZb2vty+RKPj+NNtLn3AGgp9IZA2n6JeyTcqsAcjLLHXtSrC0uypIr1ej7179+LZZ5+teU6tVmP8+PHYvn27U+9RXl6O6upqhITYz4W+8cYbeOmll1w5tMsb+mJOTmViZUvwQGoc6urIajIBJcdYDVB0hG605WdEgpPvWDNTF2p8OeyZgYUwH16rTDaaqRZnzcCMVbLNf/cnKUyuC2d+5W3MtbUHgJCBPI6K81x1dpjq+L3UHhTzZi3m6tRV4nLmN5IWjTdN+5xFcZp8v8fTPPflWfyOzUP9lbmyoWDkePvvd/hVkha1Fhi1iKSu6CgnMA8/um0qsA1dGH8D2et4PnvWvYBrMSg7A2R8z79K0QreVM1rstO9XAi4YyJuC6jMpx3/8U/kCh6vdnQj7/KQe0q99QWMrhz7UG4vE9iTLU5ir214yqmNwCXikp+fD6PRiIgIS0O0iIgIpKWl2XmVJZ5++mlERUVh/Hj7g+izzz6LuXPn1jyWIi4KbKD4BLBmkPwjd2XVrlaLFUh1TPbp3wM7bofDSiC/TkCfV4HYq5u2BO/iTmpddBEModYFYxUnaIAhfmuo1KyMOPEZcG5p3cQFICHIWsyJq9dzzh+7oYKVWwDLr32d/I0bythzRoI2iP4vAKs5zKNE2WIELqivpfuxObKWASnzeH/w57I+RrL6D+xxeTqbuoLY61sPcTGU0e8pYwGQswE117WHLwlq8VEuPLo9rkRYAC7oaiz5RX8q3wRGVzre4R7zvqpLJCzHPzIjLL2A3i9Qd6QQFgs0qQT5zTffxMKFC5GcnAydzn4I3svLC15erbOHQpPi/Cpg4yxZsNv3dTbNcidS3wYOPM37Kg96fdjyaik9CWy7EdjpDSTeDXS6k1bejY2cZN6Gj3Vucs1ey9CrdxQQNtz2Nh1E4pK1DBj8Wd2DRqQouM7fyknB2YHs6LuMcPnEuOYBcuBZhqg9/OhyW3SEDsPSsZsje514jHYWCkVHgW1io8YuD3MgrvmfRFwUfUudiL4K2P1/NFAsOdnyohSCCcjdzOjkmd8tO61HXMFUUMw1vIZW9uXva//jQNJXdt+yzePibgpuz/5hZsk/EOj+FBBztXsqeKoukhQd+1gumw7qwwhLzFUKYbEDl7750NBQaDQa5ORY2svn5OQgMtJxc6x3330Xb775JtatW4c+ffq4fqQKLJE2H9g3F4BAQjHydyBmVl2vcg3bbmPjQICl0JN2sbrg6BvyNh7+Yo8okTwZK4ATH/MvsBdbpcffYn+131DkbOCts+ZZp83SRPYGhYix/FyV2Ry8zCt0bMG/E/UfZafZCDNqSt3HUX6O3ioA0O9t5xup5SSLzf1AQe7xT3iMhYdY+WSubREEM2GujWo2fSHFuIYSVkAMeM/y/+YRFwWOoQsV00VrxaiLmxcQ9UXJKTkVZN47za8jyUrCrbUdf4d+yyasp74mmXHm99xWIAhmlvzJ8vPtp7CHkLMLpLpQmU8PluOfyCQyqC/Qex4jvgphcQiXvh2tVouBAwdi/fr1Nc+ZTCasX78ew4YNs/u6t99+G6+88gpWr16NQYMG1f9oFRA77gT2PQZA4Kp7yn73khaDHlg9WCYtvgnA7LNAYFegy/1W25YA0dcAAz9mNMYcRYdJrhZHARtnMjxtdKNPirESyBe1VeFjndv+nJhSibORJpKg8ZIHaymt5AgqlUwMLqyte3sAOPAMNURhI4C4G5x7TXWpnCLqdC9FegC7SANA2Cjm3CWUHKelu1oLhI+yfC+TEdh6M6vSfGJpLmid4lMiLq5BSj1KGqrmQnUxq9TWjgb+7ERbg7JMkvGOdwPjN7Nxau9/225TED6KRmkAy/TraubaFmDUc1G2sg+F+7nJXBAm3MZeTlesZGSqoaSlMo/X/rJ4LlwMpYxMj1oMTNmnRFmchMuxrrlz52LOnDkYNGgQhgwZgvnz56OsrAx33MEB9bbbbkOHDh3wxhtclb/11lt44YUX8NNPPyE+Ph7Z2Wyt7efnBz8/J1waFcgwGTgYXRQna58YYPIBQOdG06fKXIaKpRbo4VcA49bJYlnfWApJpVwvAJxdCESOBa4vof333kcsBzvBSBOzc39SlBt3E0sqQwY1bCDI30l/El1k3f4kAHDhLw7q3h2AUPtEGwAQPZsTUNZSoN8bjrcFmIo59RWQs86J495BbwyADQ+d/Q4OPM0JyDeOHYmlZqHSdx1tRV4lEhU2onZEJ+UFup5qdMDoxbWFhUY9q9EAhbg4i5irgN33UwxdfBwI6NJ0+zYZgdwNrHY5u8js+hRJdeIc/qadjez1fRU4v4Lkd+9jbdd8sLqYlvxp89kLDCDB63Qv3cOd1Z3VhcpcpoZP/Eds7Ar2cOo9T7QvUDRkrsBl4nLDDTcgLy8PL7zwArKzs9GvXz+sXr26RrB75swZqM0qQj777DPo9Xpce+21Fu8zb948vPjiiw07+ssJlZdY7ipdXKEjgfEb3OuUeHEfsG6kPOh1fggYbKP5WsQ4Dmrm2P0AG4Ul/IOpoXPLgJ33AVVWXav1l6jMP/EpUxAJc9jTxCfK9eM1TxM5c+FLK+HY6+pe1URN4Yqr+Khzk1DElQBU7DFVkc0mm7YgmIC9j/J+4h1AOycjkNnrOegBQNLXLAkHWJUlVThYExeJRFmnic78Bhx5nfeHfAWE2PANKjnBcnkPfxJkBXXDqx0J7IU1/I5dEWrXF8XHKbLN+F7scyUioCuQcDuvR59o19/XwwcY+h3Hg4wFTBlFz3DXUTc/ys+zcufk57IY1rs9yUqn+9zXi6sih2mnE58xwgpQJ9P7RSBqmkJY6ol6zXoPPfQQHnroIZv/S05OtnicmZlZn10oMEfBIWDtcJmpu7MbsYTTvzB1ABMAFUWpne240MbdWJu4wESh8NSD9FCJngV0mAmcX0M3W1sdq4tSGUU4+CwQOZEkJnoW4OHt3DFLOeiIK+re1lhJsS1gu5rIGtogEqLsdYy69HjS8fa6UCC4P8WZ2es4YdhC5o/AxV1M8fV9ve7jADiw7riT9zs/YFnu7BVG4uITbWk3bzLIxM6cuBQcArbfzvvdHgcSbrG9T6WiqH6IvV4kLr82HnHRF/B6TV8AXNwhP+8ZBMTfxOuo3ZCGn7ewYaycOfour+GwEa3f0r8olZ8n8wfZqyagO60U4m9mmtgdqMg2IyziQjBkMCMsUVOVa6qBaHmNDRRY4uxiYMt1op+Kis6qXR927z4OvQAcfoX31VrgijWOxa7m/1N5ysJc/UVg89XA+I1MQahUQIfJQFQmjfF2P0TfGAuoGIW4sJp/noHUfCTcDoQOtX+BGypc07dcWEM9jk9M3WJbCdGzSULOOUFcAK62HRGX6lLmtwG2m7cXlbHG/idJ/HwTgH5vWf5P6q3kbbWqvriLhEcbQkIFsORy02yu/CLHO/aNUfQt9UP0bGDXfaI3Upr77PBNBgp/078jkZbOu0rDEvjE25lyqMsw0VX0fhk4t5y+QXsfBYb/z73v3xQQBLa9SH3bcsEVNopOx1FT3acrqbjA/Zz8nIslgL2ces8D2k9WCIuboKiAWjJSXiUREIwkCGPXuJe0mEzApqtl0qINBqYfr7tCxyca0IntGoRq9juScHEXy0LNDZlVKk6U048C49ZTPV8Ds+003ixVPvkFI0zLuwKHX6NJljUu7qDGwzuKlv114bQLaSIJHWbyNm8bc9R1ob0Y2chea/n5JaS+RWM73wR24HYGF/7i9wEAQ7+x7N5rqGB1ElB7QJTKoCPG0WTPZAC23sjmnr4JwIiFjtOMCnGpH7xC5AjXmd8a/n6Fh0lcl8QAyVMZyTFVsWKv/7vA7Cxg7Ar+rt1NWgBGP4d+x2sm8wfg7BL376OxYDKyIOCvoaySOr8CgIppr4k7gAmbgA7T3UNays8Dex4FliXS7dZYyWavY1cDE7eLqWeFtLgLCnFpqdhyI5Dyb973DOSk76hBo6swVAKr+tI4DQD8u3EQ9HPS1r2DWYmk9aoy/TuW+VlDpWJflCn7gSv/ZjjbHFJI1SuMJKbkBHDoeWBpPLB+PJDxPzldJqVBnClPNFRQcwM4lyaS4BtDAR0ErjrrQthITh4V5y0b0gFAaSaQ9i7vD3jPuUlGX8SqDoAeK9aEMme9vPIuO2v5P6kMWiJTB5/lcxofYMxSy+ojW1CIS/0hVaydrSdxqboIHPuEfaJW9mZqozKb56zLw8Dkvax06f6481G7hiA0id4lAMXHVRcbf58NgaGCKZrl3YAt13IxpfYCOt0PTD8GjPrd+ahrXSg/B+x5hITl+EckLKHDGbWeuA2ImqQQlkaAkipqaTDogbVJsk27X0dWDmndWIFVngWs6icPQFHTgdFLnbfZB6grOSWaU5VlAr6JcssBgOXaQb1tR29UKr5+0k76khz6N23vJUhNFXXtWe1SeIiTdM56ioBjrwMu7hGPw8b7W+PCapYd+sTWJkt1IXoW0z9ZS+hJ4wgaHcPP2WtZ0WPuf3LgKQ5qEVcwneAM9j/Ocma/jrYrmyS3XICNN6uL2VKhuoSVSwBX/xk/cvIDgGELeF4cwVhF0ggAQQpxcRnRs1haXphCgz9n2lCYqukfkv4dcH65rL9QedCbJ+F2pjQ0dbTxaCz0fpHkvygV2PMwG5C2NFRdBI5LlvziGKINAbpIlvxu9JIqzwKOvMkxUFo8hI1kSijiSoWsNDKUiEtLQvl5YGmMWW+ZSUzduJO05G0FlnWSSUv3Z4Cxf7pGWgBLXUl1ce0UlmCkNqfstOP3iRgLTNhMXYy1VqXyAkmLNpT5e7+OJCDp3wJFKdymMIUNJB3BoprIxQFFIhnZa+VojyNIDrVSqgagKd2Z3xiSdrb8+fwqGoBBRUMwazdek1GOInkG87ZIjPLkbmRFkF8ihZy7xKhNz3+x30ldKDnO8+cZwNJxBa5BG+x8uqjgALD3n8DiDjQDzFpM0hI8gHq2q84Do5cAMbObj7QAFK0O/Y6amtM/MwXTUlCaQTK1JIatK6ryAN94djeffQbo87L7SEvZWS6elnVkZaSpiouVceuB8Zvq7sCuwC1QiEtLwcXdvBiqRC1Ft8eAcatdJxSOcPJrYO0ocYWgBob9D+jvhEeJLfhEAf5mJcK5m1gZZI6qfGDTVeymWhfCR7O8e/zm2vb0+nx6wFTksNS6/WT5f8c/5ve2bgxNt6pLLF9rKOdrAdfSRBKCenMQNFY6Zy4nTVi5yZyATEZOTACrwYKdcI3WFwI77+H9ro/WNo8D2KOpMpdpRKm1gpTeqfFvGSmKcSu5Wu/9ct37BriqBpgmUgbh+sGRGV1FDvvSrOzL5qjHPuRkq4tgpdfUQ8CUvUDXR9zTuM9daDeYPbUA6tgq85r3eC7tZUr9z06MshgrSPhGLKTBXteH3dNHCKDObtf/AX92ZBrKpKfb9JV/c9EVOU65VpoQSqqoJSDjB2D7HLAUWQ0M+QLodJd797FvLgdLgN2aJ2ziQNQQRIzl6hygz8ik7cCK3uDnAAA1ULCfk/DwH5y7sMNHAuPWMjKU8pKs1QAAYynLiSW+3S6JE3f2WhKn3E1cecVcTcOtiHGMXBjKaNpWn8+rUjH0f+xDpotiZjvePriv7K2Sv4PfT8F+HmefV5zb577H6Nfj3xno+5rtbaQ0UdRUaoJyN8jERfrOLu5hqsm/MzD8x9qdsO1B0bc0HFK6qOgIUHiEbSHOLWcq6MIqueu6WsttE+awOsidvkyNgV7/ZqSvMAXY8yAwsoldggWBFYJH35Z1bgC/u+5Pucfd1hxlp+l5lP6tnL4LHyumhMa6bz8KXEILv0ouA+x/FjgqlqWqvehSGz7Sfe9vMgHJU4Dsv/jYK5zi2PoYvlkj/Aq54sVQzOhGlwfMhLmiJ8zpn2hy1v1x5987bAQw7i8gbztw+CW5iWDN+4Kiu8jxwIQtJC0Z3wHFx1j9kPkDS589xDRb7PX1H9Ak4nJ+OatzHE0uKjVz3Gd+YRVD+rd8vvc851bP0uQGFUPz9pxOpdYF0bNYiQVwkizPkoXBxak0kBu91DVDLYW4NBzaICBiInBhBds0lJ6i+aKEdkNYwhx7Q+vyRpFSRmuGMA12+lfH7TPcBVM1cHohvVEKxTSxyoOeUt2f4ILBnSjNlAmLYOBzEeN4HYePdu++FLgMhbg0F0wm5rTPi9UqXu2Ayftoqe8u6EuB1f3ZuRmgn8eEHYCHm3LlEWMsHx95HUj6klGRGst/sSz4wFPseipVuTiLsGHAFasZvUh5mavVGohNBLPX8rMN+YZRhYwFQObPjDZIuLCaGpm4G1x3xQwbRd1C1UUgf1vdA1f7CSQuGf9jOse/C9D5wbr3U3UJ2HUv73eba797dVEaCZrak2WW0kBedISRL3MM/59z4lCL91eIS4NQfp7EuXA/H1/azVvvKPa+SbjN9XPSkhAygD5Eh18G9jzAlIl3ROPsq7oYOPklS4wlZ2APP9GS/5/us+SXUJouEpYFMmGJHA/0mufeBaWCBkHRuDQHDOXAip4yaQnsCczKci9pKTkFLI2WSUvsDWzi5S7SAtAi27xHUPY6EjBrLYXGmyZzW2/gcdUHoUPZ6GyQjRYEANMx60bQqyR8LHD1BU7+EgpTWMq5KJJ58fOrGD1xBmoPVl4BlpU89iDpXCrO83bA+84JK/c+SgOrgK6O00pStCViHAW0EsEozyJZktD7xdptAOqCsQooEX8zCnFxHoYKIHMhsGEyBfYHnpbPPwAM/i8w6wyrw1ozaZHQ8zn6MVVdrO3b5A5UXKBZ45JYYP8T/G3rIoG+b7Dh64D33EtaSk7RnfrPLhTFCwZexxO2MHWtkJYWBYW4NDVKT1P9XpLGx9FXAVMOAR5uNI86vxZY3l1OIfR+BRi50H3vb45wM7t9QwkbH3a+37IU2FjBFJW+gGLR6tL676/iAm/bT5HJhDnKMkmQFkfLWo8uD9KsK7AXhclnfqGZ19JYYP9T1CDUBYkAZC2pe5D2jZVFgcH9qUOpC1lLuUpXqcUUkYO2B1lmaSKAESRvMfWX8zdvQ0dQj+Aqio+JFUVBJKYK7EMQaE64815gcXtg201MaQompjqHfMnfKcBydWc1Rq0BGi1L61UerIQ67abxpegosOMuejelvsUxLKAbkPQVMCsT6PmM+/oIASTpO+6g2WX6t/ztt58ETNjGVHXYCPftS4HboBCXpkROMrC8i5zr7vk8MHqReyuHjn0MJE8SHW01wMjfgd7Pu+/9rVEjUBM/w5E3GKEYIAqBIepKqvLoqVB0GNhxe/1XaDnJvI29jmXck/fIDrfm0F+UUygVeUzVTD1E864uDzMyVHGBOfOVvYDVg2n6Zc9cq/0kapBK0+VUij1kr5NLpwO6162tqbpIm3iAPVNCh9rftiJb9mgx/9wB0ipeAKBiCW19HEGlzxakVBTZRdkZOjov7wqsHQGc+pITrE8sr+npx7lS73Q3q+AA6kHcHZVobgT3BXq9wPt7HuJvsz4QBCB3M7BxJrCiB5D+Dat2wkZSnzXtCNDxLvf1EQKA4hMsiFjejZoywUiSOXE7U9NhdXSPV9CsUIhLU+HEf4H143hBQs2Svb5OVpk4i533AnsfASBwxT95HxB7jXv3YY0a7xVRMJsjaizaTxQjIgL4M5MGbQ1w9g8gtR5l2NWlFOQCMmEKGUgn2Ml77adFzv4K/OZHF03vKGDQR8Ds88CoxXyNygO4tAfY+zBXzpuvYUNGqYoAoNW+VKbtKF1kMsjlzwDfty7seRiozGGUqveLjrc99ycAgQ3bfMw8VirNunCHjWTTx/pA0bfYhqGMabj1VzIacOh5mvRpfKhZufJvYFYGr+kAsxYU0TNIeIvTSNrbGno+wxJk/SWmYl0hZyYjcHYR8NdwYN1o8betYhR6wjb6O0XPdF8fIYARxW23Aiu6saO2YGREdOJOpqIdLRoUtBgoxKUpsPthXtQQqPeYtJsiUXfBZAD+GsWVH8BeQjPPOOcZ0lB4R5it9kGDuLxtvD/gPQpIJVKjvySHXg8+D5yz7jBdB/K3MffsG2fZCRmgYHD0ElZMRV9V+7WCOEgujgL+GgkUH2dp8+glNPka+CHTOqZqbrdpFk3B9j4GFBzke9SkixwQl5NfcPL3DAKgZjm0rV5LEs4uoqGXSsMUUV2tAKzTRABJsfmk6Kwzry1IxCWgh+PtLgcIJiBnI7UPiyKB7beJqTiBhH3ot8DV2UyZRFxhe4L1DACiRN8hqV9WW4LaExj2HW+zlop2BXXAUMHf7IruXCRc3CFa8t8LTE9jFNrdEY+iNGDbPxjRyfyB5zZqOjBpF3s9hbroqK2gWaEQl8aEyQSsGwecEMuDdZHM07Yb4L59VF5in4x80TK/3TBgZgaga8ISSyn6oRYFqKlieXdAF6DLI7yvEct68zYD0dcAEIBtN3MF5CykNJGjbtDB/YBh38vHYgEV95u/FVjVmzqg82tYptz1EYqXpxykqFcXwfTWsflsj7Cynyy2vLRbbm5oDn0BkCKGzvu+KrcXMHfRNUdlHrDrft7v8XTdPjPVpfJ7ScQldwsjReawNvBzBeapossVpenAoRdpbLh+LLUPhlI6Efd+idfX+A0sZ/b0r/v9zM3o2lq6CKBJoxQp3PMwq6psoeoikPIKsDSOC7mSE6zW6/k8MOs0MOS/HDPciaKjwNabRcLyIwlLh5lMMY/9s+FeVgqaBQpxaSzoi+nomCuaJIUMYlWBO/tlFB4GlsXJZb+JdwCTtjW9iVWEKNDViIJSSSAKUCDqFQYYy8XoiwDkbQLaDWep46bZvHUGkuFUXcZP55YzJefXiX2eYiSbe3HSUIkiyeI0IHkysCgKOCH60QT3YaRodhYwZjlfq9YChQeBlBdRo9lJeYkVOOZIeYmDc2BPoNN9lt2ibWHPQyRHgb1krYAjZP9FcbFfIvdRnsX0l6maYlwJPvWstjBW0m8EuPxSRdUldF5eN4aE5fBLFHp7+FNfMX4zMOMk0PsFwC/etffuIKaLSo6zhUVbRPenOMZVF7Kk35yglWayEeGSWBL7qjxGTQd+yDGx7yvuL6cuPMLqwRU9GdGEQLI/eS9TyyED3bs/BU0Khbg0BoqOsXKoLIOP428BJu8GNJ7u28fZpbQLN5QCUFEMO/Qb972/KwgX/VykKiZDGSMBAKANZPQBAFRiFKQqj12ovTuQPGy7lSshR6gulf0wHEVcANlmPe56IKQvMOo3YGqKuPJVmbmWimK/ygvA7vuAXwOBg8/JJnMdpvG1V10ABn0qRlDEAfnUl0w77X6I7RoKU2XjvYHz+XqpLDp7Xe3Pd/pXHqdKw1SDM8LDs0t4Gz2bBGbT1dS2BPW2DK0Xp9b9XrZQnMbj1AYzOtjWYTLy3Gy7FVgUAey8i0aGUPHcDf+RqaCkr1gOW1+xsqe/XFlmqwVAW4Dag79jtZbGixkLgEv7gK03iZb8H3PxEtwfGP4TSWDXR6gdcycKDwNbbmBX7TO/gITlKqaQRy9hSllBq4dCXNyNcytZpWIQowh936TdvTtx5A1g82zqPVSewNhVQLd/uncfrkAXLq/QpZSQlC4CgMS76PlgLJOjAad/JqFRe9FCPOUlx/vI20LC4RvveMVbXSKb1Jn3JgrqBYz8hQQm7kYAKrmrq1S6bCim+dSvvsD22xk1A+hs2uUBdrMevVx+T/0lNlpbMwT4K4nHFzlRTtWEDqVZVlW+5Uq7IofGXQAbHzozmJoMnBAAhrp33U8ipw1h5UXORnnbuqqe7EEqC2/rPYqKj5OgLksA/p5AzYOxgv45fV9nY75xfwHxN9t3LnYV0m/xdBtNFwGiuFy8jnfeA6weyDJp6boYt5YRj/ib3B8VLkwBNl8nEpZfAQhAzDXAlAPUzEj9vBS0CSjExZ1IfQ/YOF0kFB6cUHo+7d59bL0FOPgv3vcM4EQcNcm9+6gPpCiI1E1Y0qMA9K8YOJ/3y7PklNL+J4FBn/P+4ZeBs4vtv3+u+H5SWsoezi1nysO/C516rRHUExjxMzDtMBB3EwCVXLrsGcRbk54rxt+Dgb8nM9QtIXqa3Fyyx7N8D7VWjHyBK/gNU2hGZjLI0Sip8aEgkLRUXeTx9XSyVD1vC4mSVzugYB+PT6VmrxhtkGX1kjO+NLbQliuK9IUUhP41nGXMR15nitUzCOh0PzBxBzDtKNDzWYrb3Y0O0ym8Lj0pd39vSzBVs+da5k98LLnOxt3MaMe4NY3TObngIAW+K/sAZ3/nczHXUqs26nf3twJQ0CKgEBd3YfsdwIEnwFJkPzL9aBv+IvWFQQ+sGsS+PwDgmwjMOgsEdnX8uqaCRCiklIixDMjZZPb/sVwBQZAn/qp8IC+ZHZABVm3Ym3QlfYuzaaK6ehMF9gBG/ARMS2UqT6Vmfh6gWR7UAExA9hquzFcNZN8kQK7aKctkJZDkeOzdga+5sJpmZIvby549F8ReUad/YSWRSgytO+OoC8jVRCGDSPgAmupFXglki5UuOtEwrr4Rl7ZGXEwGOiRvuZFVQbvvB/K381xHTQVG/EKH5SGfAaFJjRtl8vQDoqbxfltKF1WXsHnrso7A9luBohQuTCQdWeS4xol2FBxgqnRVP15PUPGan5rC9G5TVFQqaDYoxKWhMBmANUPZ4A+gCdXss+6tyqjIpgi3YC8fR1zJtu3aAPfto6GQ+veUnWInZMAyXQQA/d9haqjwoCyOy1jAKqOIKxi12DTbrM+RiOpitrAHHAtzq4s5UQHON34L7MZU3rRUIP5WTmpVuQBMPJcqUZdUsA9YOxxYmgh4iN/7+ZVsvlhykumy6ak0H+v5PF9bXcSJEqC/zb4nxLJ4ULTs7IAuCHTsBVhqLhiB+H+wVwsgi3/DR/H2cicuhUfoiLwkhg7JZ35hWjCwF3+Ds7NYAht3fd3l5+5ETXVRGzCjq8gGDvyLgtt9cxm90kWwm/lV54B+b3G7vY85tgNwFZf2c4xY1Z+OvVAx9Ts1hangoF7u25eCFguFuDQElfk0o7q4k4/DRrNU0p2W1Bf3sNy5UnSl7PIIcOU697rtugO6ME4MABDYm7e5Gy238UuQ+wdVFcidmzfPBoYtZKVB6UmWL5qM8uvytnKy9kt03M8p609OUAFd5WNxFgFdgeHfM12QcBsJTPkZOhD7dQY04rGWZQApzwNQkZgcepHP93mNqbuAzqySmJVBU7L421BThp32Hl/j4cfPIaWo6kJhCqM7ULGtQvAAYMgXcoRAKpGOuZq3ldls2OgKDOUsAwZaJ3Gpukjn49WDqDE7+g6/B692dEqevJfOyd2faL5WBh2mMRpReoq9tVojitKAnXezpDn1DUYp/buwvcGsTGq2tMEk1aHD+XvdeXfDidqlvXTWXT1AjD6qmKaddpip38u5fP8yRAub/VoRCg6QtFSIfh6d7gMmbHQvocj8GViTROEgVGzUNuhD972/uyGliyQBrrEcyN5guU3PZzlxlKXLK1D9JeDAXKr+Nd5MtRwy0364O03kCAFdmMKZfow+HSoNUHoCMJaSDHlJ5eziQGwqB7xCgdibLN9Hpeb3MXyBKAY2g6GU/VEWRdLcLGej46oqKdoCgaXloxfLvYxKMzgRqjyY/pC++yIXK4uKj4nv3869JfuNCVM1HY43X8O03N6HOcGpPFj6OmoRHZIHfUQBdHMLjj18W2+6KG8rsHEWTeNOfU0dWOhwXrPTj7K9gXn0Sq2hQZ9Gx4igZI7pKi7uAZJnkJCe+5PXVfwtjJCO+MmyJ5qCywYKcakPzvzBC8lYBkAFDPwYGPK5e/dx8DkatMHE9MqVyUDne927D3dDSuMUHWS1CwAcfdtyG09/dngFGDJvL7qKZv7IkucksaQ79U3ZaVQS+joS5uqLSHgAy2qi+sK/Ewfe6ceAxDtJYIoOM40UMgjQtpO3rcoH/ggCNl8LVObWfq9Qs1Llbo+z8sIvkQQm/VuanC3rxOiNFPUwx0nRYwZqCg7No05Smih0KL9bKVriarqoqBVVFBUcYApicQc6HJ9dRBIT3B8YMJ9OyKOXADFXOa8haipIKczWUF0kmCiY/2s4sHYkq/+gosZrwlZg4laxZYadaSSgi3yt73vcUuReF/J3AcnTgDWDgfPLRcJyKwnL8B+Y4lVw2aKJncraAFJeBlLm8b7KE7hiFQWS7oLJBGy+GjgnijG1Iew55Bfnvn00FqQKmqJUKvvP/l47XQQACbcCxz9lOa+uPVMs1cXAppnA1bkMox99m1EJ7yhZ2yO9vy2cW8ZVYEB396Y6/DsCQ78Gej3HSpT0Bbb7DwkG9mA6u4i9ggZ/xvC1IDAqIKH7E4B3JDUueVuo8Tn9K1NQh1/iX/hoIGEOG0lmLZWjen1fk7VEEqRqJckzJrAnCVxDiEtLRGUuyW36AmqkJOgiuAJPmNM6BJlRU2kZUJbB6FC7Qc19RLVhrGQfn6Pv0TQP4OIp4Tag++NMqzqLro/wmsjbTJ+ccWsd9x7K30FrBGkRolJTz9XzOfe76ipotVCIiyvYcj2jBADLKCfvBfwT3ff+hgpGciQDsYDutKZ2l5dEY8OrHUt8Cw8xjHz2d6a5stdbkjuVmuXRa0dQ1DzoP8Ce/6Mod9s/aPxVcIBOsVuu5crPryPg68AR9rQb0kSO4JdII7Kez7GTs7kbrk8M4N+Z5mWCgYP0yl7s99NhGpCzDjU6l9xNXHWrVBTTho8CBn7ElW3GAupVcjfxb89DYlNOANowtgUwh8kouxRL3jHuiLi0FBirWN6esYBC6BrjQC29bBJvF7t2t6JhzMOXpdFnRAPClkRcqi4BJz6jWZzUtNMziB5GXR4m4XYVKjWNMVf24W/15H+Bzv9Xe7u87STtF9aIr9NwgdPzOUY/FSgwg5IqcgYGPXvVSKTFvzNLkd1JWsrOsApCIi0dZgJTD7ce0iJBSueUnpDTRalv194ubDg9HiAAp38U+xeBFSB5mym48+soD6COoi36QpIcgFGKxoR3lGyL7yNGwcrPclAOHQHEXAdoREO74lSKRAF+FsC2/b+HD5BwC03PZp2mCZp/Z5I+abIW9NT9FB+XX1ewn/ogzwC5L1JrJy6CQCfi3Q/RmXjLtdQ2CEZ+xkGf0sl41G8kha2JtEhoab2Lyk6zo/nSWP7GKnNYFTfgA5rx9X2tfqRFgn8nucpo/5OW6dC8rcDfE1mxd2ENCUvinUzRDv1WIS0KbEIhLnWh/DywNEYOT7efDExLA7RutKrO3QL82QXQX+TjHs+yn0ZLqxxyBpKANmcDu68CJCK20O9NinHztgCxV8tl1JtmczIevQQ1P1GpwaEtZIlposCejV9dcGw+B17vKGD8Rvn4VJ5A3kbg7G8s9e70gFxKDbBaCiD5NVbbf3/fGKDHM7WroqqLmKpa3pWagxP/FTUHIFmUJnBJrFiZw0obZ2Aop8gXaD7iUn6eBHdlLzoRn/iUpMw7ipGmaal0Lu7yAJ2MWzOipjDyUnaaJK25UHCAhpbLOrKs31BGh+thPwAzT9KN25kmks6gy4NcfBjKZEH6+vHUzmSvpaC6413AjONMzfp3dM9+FbRJtMKZsQmRv5MXdZUouOz2ODUt7iQUJ78C1o0W7efVHDT6ve6+929qhI8GoGLfm0738TljBbswW8M3Rk5/HHiWPgwAJ+mtN4oOpuKK9MJqION/tvdpXk3UmKi4ABwW+y71e5O6I8k7peezQOcHmMbI2wSc/A9LqaEGvM1SXNVFYkuBO+SWAtY48jo9KiQTL/+uNEuLmsrQe/52+sEcfo3/10XJ5eOefiwrB5yPuhQfRU3Fki7M2W+j4TBU0GF4wxQuDg48TX2URsdS17Gr2YSv35tAYPemO67GhocPGy8CJLpNCUGgGeLfE+iFcvon0ZJ/PHDFX3S5TbhFbIjqRkgpI42Ourf1Y+ltpPIAOt5DwpL0FVOyChTUAYW42EP691zZmioBqFntMuBd9+5jz6PArnsACIw8TNrBQaM1wytEttkuP0PdCwActfPddX+SGpHyM1x9xt7A58/+ARz7GIAgp5x23sPySHPoC5ouTXTwOVYCtRtCQSggu+jmbgIGfwrMPEURYw1MgF8sMPATdhoGSGgyvmNLgQ1TgNLT8ubnlgOH/s37wWIPo5irqIsZu4Lmaf3fof4JYgn1yc848e9/iuZrrqaLCpswTSQINNHbdR9LmLfdRFIqmICwEfSnuSqbpa5Rk1hW2xbR1L2LTNVAxo8kKxsmUUul0jBdO3kfRbPtJzReRVlOMrDjLgp/JcTdyMhO0hf0eFKgwEm0wgRxE2D/03IZr1oHXLmemgx3wWTi4JEjGofpItgioCF55JaE8LEMQ+cmA1EzOEnnbbG9rYcP89/bbmbzyGmpJCL6AuCIGN2IuYbRjvPLgc1XAZP2AN4R/F/WUg7Kgb0ad1V+aS+Q/h3vD/xQroyIngXse4zpsKqLtP2vuMD/6SL5OfK28s8nhoZcXhHskC21B1gWz/RS96eBXXcDEICO97IRJSCTI4AeON2fAAJ6ARun0MxO7cV9Hn2Hf1Jn54t7gc5OfLam0LeUnWHELGMBUHJCft4nlkQv4Taa910uaD+Z5678DHBxF1sONAaqS4FTX9GWv1x0sNX4AJ3uoUmco4alDYUgcAxIeUmuLlR70gup4hz7lvnEOHwLBQpsQYm4mMNkoneARFq8QoGZJ9xLWvTFwPIuMmkJHgDMPNN2SAsgC3RzNgC9RCM5UyVwbpXt7eNu5GrbWE5x4GhRuyFV1ERcQe+GgK4c7LZcR7ICWFYTNRYEAdj7KACBkZbQofL//BKAoN4Mt59bQaOt7LUMiY9PBmamsxeTRkcRLwDo85n6SbyLpAMgMdp6PcvCA7oxlWAoIVFpN7j2MUm/n9jr6VsyapHoqeEhuyynf0Nztqxl8vdlCzXExc1mXoYykpX142nWeOh5khaND4nKuPV0GO77yuVFWgAaCErposYwo6vIZoRwaSyJdfkZGgv2eZUtSQbObzzSIgisJFw3Blg/jqRFrWUqdcYpYMIWkra8LcCxjxrnGBS0aSjERYKhHFjRg2WXAG3rZ511b6fY4hMcSKSqlLgbgSl7AY8WZpLVUISPAqCiB4TGm9oJAEizky5SqWgcBgCZP1Boap72EQRAG8hu254BjG7sfYzlm1KVTmOmic78yoiJxod6C2t0mMXb0z/TaAtgZVBAV8AnipPEzHS2awBIcrZex4Z0I38Her5AwiGhOI3kDKDA2ZbvhWTzHzmeJmsxV1HMfNU5ua0CBHpobJpFs7a9j7GbrjXcGXERTBRe7riTzsDbb6OWAQIjcUO/Ba7Opjtx5DjHnh5tHRa9ixw4J7uC4mPAzntJFI+8zoiffxdgyH9ZsdbrucYTNwsCf5frRgF/j+d1qtYCnR9kCnXwp9S1+cUDA97jaw4+a1kpp0CBE1AJQkuox3OM4uJiBAYGoqioCAEBjdBYsDQDWD1Qbu4Xcw0dSt2J82uAjTNEwSa48un1nHv30ZKwaiAbEw7/iauv9K+Zdruxwv5rdtzBdEy7JKDbU8BWsUTaww+4+iIJ3rnl7FkCAUi4nWmooD7AVBsTsjtgKAeWd2O0pPfLQO9/197m0l7676g0JCVhI+l0bEufkTyN5FjlQc8XgJUzFecBaKgJksTgACMyne4nYfIQLdUrcoDFYoTu6pzaFv3VpcBvop6m0/1A1iJLR9+gvkDiHEaPND7ytlfnAbpQF78gEaXp1IVlfE9zNQl+iTSHS7hV0TFYw1gJ/BFG3dSEbUDYsLpfYw952xgpzlqGGkF76DBqyDrMbFytkCBwAZHyEpC/jc+pvYBO91J879PB9ms2TOLrQocB4ze3XT3TZY7GmL8v4+WOiOy/OTFJpKXXPPeTlrQPgeQpJC0qDTBqSdsmLYBs/5+zQf6spkoga7n91/R9nSTl4k7g1Bfy84ZSYIvYQLDDdKDPy7yfsYC3jZkmOvouSYtPLLUlthA8gEZdgpErzKHf2h+EpfRAyCC+n9pLLvX2jWVlxcBP5O1NVcDxD0kuNl9HApKzXtxvP9t9hTz9AN943o+7gYLeMX/SzVitZWn/vrmMwiRP5XZeYa6TluoS4NQ3TAks60gDsbIMipA73gWM3wTMOAn0fkEhLbag0TG9B9QvXSSYqPH6awTNHLOWAhBIVCZsASZuYySusQiBIADnV7OIYcMkkhaNjqnRmensEWWLtACMsiZ9xd9K/nbaDChQ4CQub+Jy4jOGNE16EooRvwB9XnTvPnbeDez7JwCB3g2TDwAxs9y7j5YIyc8lN5mTltScMO19+6/xbk+nTEB2hJUs7s+vAM6Jabye/xKb1QmW27gb5VlAqmic1f9tubGhNcoySa4AimwdmWZJDrcFe2lWJ5U8qzw46W+aKYuSIyYAYWMAqMSWAr8z/bJvruV72YJ5ZZHak4Rv1G80bxv0KSujJJdfgMR990Os2nIUhBVMTAdsu5XHsvMuVlRBxbYDw35gKijpK6YMW3rfo+ZGfdJFxkraKKzoQc+j/G0kpB3vorh9zFJqxhoLggCcXwX8NYwLsos7RMLyTxKWgfOZIq0LvrHAwA94/+Bz7DytQIETuHyJy+4Hgd0PgKXIPrTWj3Pjyt1k4Ero1Nd87BNDEW5wL8evaysIH0X9QskJoPwcED2Tz0uhZHvo9k860koptWE/UyQNULxqqOT7Rk2RX7P/KdrDuxsHnqFgOGyk/aiOYKKeQ0r7lKY7noD8OjIaYqqm9sRYDkSMo19Jj6dJbiVxbclxfh9X5bBMXOUBQJDdhE//xjScLdgrifYKoYnbpJ2c5CTHXcFA07c1g2kCl/o2TeEkFB8XxZ7x9ADJ/IHHHtCVkbJZp+n8m3BL63N7bk60n0jdVsU5Rh4cQV9A3crSeNooFB+jaWOPZ4FZmSSLjVlZJwgUoK9JYqTu4k5q2LrNBWZmkIR4t3ftPRPvZIWVqQrYMYfjpgIFdeDyIy4mE7DuCuDEf/hY156VDcH93LePykvAsgR5kg4dwZWIrpU7froCbRC79QL0cOgpVRdVAWeX2n+dRsf0BgBGGvTAWDHSYihjOTQgNy5U67ji2/Oge/0w8razqR9UYvmzncjB8f8wqqTxYZqrMofGhfagUgERYqSkMptmcSN+AXzaU8cyboO8bflpft4NE0iqry2hXsT8/3+PBxZHA6e+tdyPM14ugd3lLtddHqbpm0ZHE7gDT9MbZsMUpgKWd+WkWX6WabFO9wMTtwPTjtJ8z1EfKQX2odHJ4m6ppYg1ys5QWL0khuSxMocLoQHvs0Ko3+uuEwZXIAhA1p90NN44nc1RNT5Mdc7MoNC2vlWRKhWQ9CUJ2MVdQNp77j12BW0Slxdx0RcCyxI50QBcbc4+Y1snUF8UHAaWxTLNAAAd7wYmbmmdPVUaCqksOjeZLrM16aIPHL+uxqRKAA48xXLgxLv41IXVQPr/ZJ3HoP8wAnPqa+Dk5+45bsEklj8DSLwDCBlge7uSk5zgAZrCdRBbHGQtcfz++jzxjoqVQObaEil1EzaKKTEPf2pSNl8DrB1i5qbbWa7WqjgH7LwT+C0IOPQiV61BZsTFEaGTiE3sdTR9uyqbJnChw/k9XFjNSIBKTefeEb8AV18AhnzGsnAlFdRwSJFe63RRwUE2HV2WSA2IoYxC9GH/Y5VOt8fcZ8lvC1Jn89WDmMK8tEckLE9ysdf/HdlPqSHwiebiAAAOvSAbIipQYAeXD3EpOgosieUqFQDib2W43J2E4uxiYHU/DjAQS3yTvnTf+7c2mPctAigUBICL2x1PphKxhIqDee4mTqYS8dl1N4Wwwf2BTncAfcUS5T2PALl2+iK5gowfuKr08GeDOVsQTKyCMpaToHW+X145n3MQUTr9iyiiBACB5oPmkF4bey33PSuT0SoPf6Awhd4sABAymFqSUYvkBo7VRRTI/uoHpH0EQEVTvKo82ER1iWxKJkVotIE0J5u4FZh+nMcw4H0KfMeu4CSr0dn/fApcR+QEMV10nmX32euAvycBq/ox6icYgYgr2QJhygEg4R/ut+Q3hyAAZ5ew0nLTLFYHevgylTkrk3ovdy72APr6RE2j3nDH7UrKSIFDXB7E5dxKtlU3lPBxv7eB4d+7dx+HXwM2X81BRuUJjF0DdHvUvftobQgbyZV66Smg7CwjCAAHpyw7k3vVRaDwEO8n3Mrbvf8EIABjVwFQycZ0ku6k+xP0xBEM7CZcdrb+x1xdChx8hvd7PW8/BH7sIxpoefixHYSku1F7UntQfKz2awoOkuwAMmGR/FgAoDJfdhiWqk28QmjQNitT/v4A9phZ2YffxfRjwKRdrFQCmI7L/B414uXsv21/hqKj4rFE2vb2COjMfXZ7rHFTEZc7NF6sBAI4hvw9ge7RKjV/15P3AleuYwuExoxwCSb6/qzqzxRlwX7+vns8A8zMZCqzsXpZqVRcnHgGMbIjmYAqUGADbZ+4pL4DbJzGSU3lAYxZDvR40r372HoTXUEB5mqnHQGiJrh3H60R2kAgeCDv5yazikCyo7dXXSRZgwf2APq/y++zYD/9WtoNsOwD5CF6AqhUQNLX1ClV5nLQNTjwi3GE1Ddon+/XkWWdtlB8HDgokoj+78oOpNpAIFxMj1kTs8p8VoAYK4D2k2StyoW18jbnl3PyCO4nN0qU4BXCVA1AQaRHANM8W28EVvZm2mriDopk20+BxaW97SZg9eDanYibwupfgWNUl5IEXxCbkFblA2pvao5mnARG/Gw/VekuCCbgzB8iYbmGqUkPf5LWWZlAvzfq7+/jCnyigEEf837Ki4wwKlBgA22buGybQ40EwAtx6iGgwzT3vb9BD6waAJxeyMd+HYFZWZeffbkj1Pi5JPM2WkoX7aRQ2hrSduFXcHXX6wU+Pvgv2uG3M+vpcuAJGsQBrGQZtZgGbpf2ArvudV2sW5oBHBXFgf3f5UrYGiajmCKqYDlyp3st/y9FSsx1LiYDsPUGlk37deRk1H6i+HnXyccpkR0p5WQNKTrTYTow+zTQ+yWuUIuPstfTyl6M2Iz5E7i2gK0IJFzaQ3Hlsk5MaQIKcWlOVOQAB5+nk/beR8V0nhhNGfkLPVAa2/tGMDEVu7IvI5WFh0TC8jwJS9/X5CapTYX4W3gNmaqB7XMct6pQcNmibRIXk4Ele5liOsgnjiJcd5YKVmRz0CnYz8eRE6gJ0Pq5bx9tAeZ9iwCgl3m6aHHt7aXtJMLT5SFallfmAodfZddoCcYKIHm6/NgvHhj5GwWsmT8Axz507Vj3P8U0S8Q4mYBY49h8Vot5+DPKYx26ryn73sHJCQD2P0lfGg9fti3QBtNnQ6NjdKcolRGiC2KXa3v7ltobRE5g1VbvFzjB9H6Z71mcBmy7BVjZEzi3DOgmth/wiWXkCmDabvPVwB/h9MYBZCGvgsZH8XF2xl4aBxx5jSXOfp2AwZ/LHcel6EtjwWSk1mplH2DL9UDRYWpsev1bJCyvNF5bgLqgUvG70IZwbD1io8WGgssebY+4VOZzULi4i4/Dx7AUWRvkvn1c3E2lf5U4MXX9Jz0s1G3v62wwwkaSSJRlAGWnWUGgE/USafMtt63M4yAK8LwB7MMzQEwrpX0gE5t4Uf+Su4GDsISIK+Tt9z9h3+fEGjkbafCmUtNAy5aWoCiN5agA9+EbW3sbn2hRayIA5/6kDb7kCjrse5kkaHRAmGicl72W0RRjOUmGrdL86mKSIYDERYI2kG0IZmWyjYQ2hPqa7beyQgOgCPfaAmpxvEUn06o8Eh2A35FB79TXpKCeyNsObLqaLt0nvyBBbpcEjPoDmJ4GdL4PiL+Z2579neTC3TAZgcyFTC1uvZERN89AuoXPyqQjdXMRFnN4RwKDRPfowy+z07wCBWZoWzNtwQGSFslCvdP/sUOvOwlFxo/AmqFc7UMFDPlSdn9UUBue/rJoNEfUr8SIPYis00W5m3gb2MtSBBg1lboQwQDAxIqaod+xxw8AbL8d0JfK23d5mBoSwcgUTalZ7xxbMBlFd2MAne6zTLGYb7Pjdk447SfRpdQepIhJxgKmrACuZmOuttyuvUhAstfJqaXoWbZJU85Gfh6/Tra7+noGsLXCrEwawnm1kyuGqguAYx9T7HxVFjBuHTtQSzjzK/CbL7DlRhJ/Be6BYGI58dpRwNrhYoRRYNuH8ZvogxNztWzJH3ElI2eVOXJZvDtgMgKZPzGVuO0mphY9g5hqnJVJt3BtsPv25w7E3cjvRjDw+jYqxFqBjLZDXE7/Sr8BYzkAFW3Nh/zHvfs48Cyw/R8ATOwxM34T0Olu9+6jLUJK++SK0ZKez/JWqObqUoJ1mkiCSiVHUQAgpD/J6BV/gVVGlRRgm28/5HMSnKqLwKarxBJ1O0j/hqTXM4hpF1tIe49EyzOQDqWOqjsk4pK3hUQnajrQ+8Xa20mW/bnJsqFenWkiBzb/AIliz2dpDNb3DdRc4vse5Wr/1LdskTBUNKxTa1HTUuDML8CicBo0FtmoilLgHIxV9BVa0ZPlxHlb+D0n3knh/phlttshaLSyBsyeGZ0rMBlY2r+yJ1OIxWkkKL1fFlOML7g3Eu1OqFTA4M/oml14kGk1BQpEtA3icuhFrqylJnfj1tHW3F0wmYDkGUCqmG/VtgNmHAfCR7pvH20ZNX4uybz1iZLTReY6FMm/RdLFmEMbghrxYs4G2WRNqvzJ28RomASNDhi9iH4ThQeBHXfZFuvqi+T0T+95tqsnilKBQ2JX6IHzmQ5yBL8udPQFGBUa/gNTUNYI6kMTOUMZoM8ncbLXd0kiLu2drFbz9Ad6PiO3RvDwpb5l550kMCdEs77wMfSDiblWbimQmwys6Aas6G2/lFpBbegLqclYGs8eZcVpoiX/0ySSQ79mtZwjSCX+DUkXmQxAxv/Yy2j7rUwdakOYSpyVydSiNrB+792U0IUDg8XF55HXgUv7mvd4FLQYtH7isvlamm4BXE1MTwMix7nv/Q3lDLGeF7saB/SgGZctfYMC26jRuWQCpZl8LvZa3l7cTWJYmStXuYTZmLzPLgIg8H1KTlAnADBNJxGJnXcB+mL5NT7RwMg/OCGf+QU4+k7t9z3yKvUeAV2BLg/W/r/JIFY36GmQZW65bw/75zIKBND1194koVJbRlA6TLNtLFaexUlQpbZN6hwhuC9vY6+n06kunP2UpM7agkDCNOo34LoS6rU0Yq+hosPA31fSaj59gWv7vZxQdgbYO1e05H+WrRx8ooH+77EooN+bzjUdBDh2aUN4PeRtcu04TAaep+Xdge238Trxaif2kspkKtEzwOWP16yIvY5/goGp2sboSaag1aH1EhdDJVXxUpWJfxcSCneWEJae5mBULBp1Rc8GpqYAHopzqEvw9GPaBpCjKpKZmlBNjYXk3xLU23bU48yvvJWMulJeAKou8X5NyqiKzd/MET5S9oY48AxwfrX8v+ITcsRnwAe2ScPRd1hK7BkEDPlv3QZgJ7+S+2ABdPJ15AIacaV8326aSCyDDhnkuhYhQFzhlxwXe8uks9RbreXzOeuA5V1IBFVqEsHrSjjpSs0ty7M4afwWDBx6yXYZ++WIgkPskr2sI3DsA3YID+xFEfaMU0D3ua4TBbWn7DB9+lfnXmOqZgpweTeep9KTImF5g5Gens82bmuAxsagTxmZLEwBDr/S3EejoAWgdRKX8iyWIksGRVFT2ezNnV1pczZxQNeLk2PP54HRi5XKofqipiw6mbfekXKFy7GPLP1brFFxQRbu9n+HviNVF4EUMdIW2F0u/c3fWjs60Ok+oOM9AASaBRaf4PP7H+eg336KZbdpCYUpQMo83h/0EeDTwfFnzNsO7BFTlL1f4spZf0l2w7UFc6LdbqjtbSSTukgn00TmkKqYCsWeRR6+QPfH5eaK2nas9tp1H/BnZ6aQhGpOutfkASN+A3wTuW11IXD4ReBXH2DnPZaC6MsFgsAqrA2TgVV9WXYvGFhCP3YVvaISbqVepb6oSRf94Zj0mqqBU9+QsOy8k6lAr1Cg31t0uu35TOsmLBJ0YdS7AEzXWxspKrjs0Ppm4bztwLLOcv+V7k+yh4o7CcWJL4D1Y0VreTUw/Cd6GyioP2qM6DbIWpPY63h7aTdwYb3lduY48wcAgRO7f0dGRwDgxKeybf2Ad+jXA3AS1hfKr1epGHUJHcbJd/Nsmr2d+5NpJHPhrwRTNasZTNWM8sT/w/HnKz9PfxRTNaumev2b1SOA/fYGgFy2DzCyYw3BxKgIUD/iEtCNkZTqQhJAgN9NpXh/Wgp7anm3ZxXS7v8TCcxnDMvHXQvMOkVX3hDRBdlUBZz6Cvg9kD46UkPRtgyTgaXEqwexI/eFNfxeY28AJu8BrlwPRE12jyV/xBWMmFTlyZFIcxj1jOz92ZXp0dJ0pgD7v8OUUI+nGOVsS4i9ht3LBbG6r6YRq4LLEa2LuGT8BKwdKeoH1CyJ7e/mnhZ7HgF23wdAoLX6pJ1A/E3u3cfliLARJAnlZ6h1AcyqiwxA6TEAKtm/xRxnxQoLqYtu+wkkE4IR2DdX3m7cWgBqTqwbJlu+h8aLnhneURTbbhN9YLo8CAR2Qy0ceZPN5bTBrFByNCEZq0haKrOZKhj6Hbc3d9G15+Jr7rBr3rdIQuFh6h00PiRerkKjk5swShqiolTeencgYen2KFMbAz8UCcxZYPcDwJ+dgOOfcpIITeIEPTMTaD8ZHDpMNLFbEkPDx4ttUDxpKGMp+Z+dWUpcsI/jQpeHgBkngJELZULnLqg9gWixdP6MWbrIqGdKb3kXYNc99EbShTP1NzOdqUAPX/ceS0vCoI/Z46soVY62Krgs0bqIy+7/A0uRdexem+iEUNJZmEzA+iuB46IeQhfJ1Uu7Qe7bx+UMD1+g3RDel8qedeGWFTpBfWobYJWflzs+x1wrP9//XQ7wF1aziSbAVgs9nub9izuBk19bvpd3e3ZTVmnYcFPjw0oiaxQcpPEVQCMsRw0GBYGT/MWd1MGMXiKvdttPJHEoy7Tdd6XiAl8nQaocMof0XPiY+qcfJEv/GuJiw+rfwxvo+ggnwIEfk9SUZwF7HmKbgGMfk8D4xQFXrKKhXcLtslbm4i5gzUBGQ6XS7taMylwa+C2JBfY+wnPoFSp6n5zhJOqX2Hj7jzNLF1WXAyf+S/K06z6m9nSRjBTOzGDqry0TFgle7agzA9iEMX+n4+0VtFm0LuICUKQ18xQQakcPUB/oizko5IilnyEDgZmn3d+6/XKHdd8iQM7nA0CYrWiLmCYKHQ74xsjPB3SWS6H3z5UNqvq9DviKupE9DwCVlyzfz78zyQRAzx+JFEkw6hmKFgz01IirI9p24jP6wKjUwIiFTGVJ8PAFIsSqIVvponN/8jZ4gFwtVXbachtXy6BtwRniIkGjA7o+BMw8SVGkTzRQcY6T97KO1CMZKgBtADDsW+D6Muq/JBFq6Ul6l/wRwW1bm5C3+ASw634aWR5+hRolv44sy511mt4nTdFwMHwsiVLVRWBZPLD7fkYrvdsztTcznV273anraw2InsW0rWDidVrfZqoKWjVaF3HxS+Rqx9nSQmdQdBxYGgOUpfNx3M0MiXs0QFynwDYkgW6umc6lx7Py/9U20jFSqNyc4Ejo+TyJbPEx6l0k1KSM9EDyJMvXpLzI8L9WjOxs+wet/CUceZ1mdF7tKAh0lCLK3cQGeQDQ900galLtbWJm8/acDeIikZnYa+Xmkebdoo2Vsii5PvoWCfaIi6MeRRodvZBmnOSk7RNDR+q9j7LdRdp8ThpqD+q/riuii7TkZlyVy21/DwD2PdHyWwrk72Rn5OVdgZP/5Xffbggw8ndg+jGg8/81HUkwVorHIE7KVXkkLAM/ZEqv26OMkF2ukFKaxWmsLlRw2aF1EZfKbFmo6A6cX0WPlmrR+6PvG8CIHx2/RkH9ETqc6Z3yLAoKAVawSLCOfpSfkytyYq9FLWgD2cEWYM67UhRs+3ekZwVAwesJMbxclCqXKg//iWZvhhJGCPRFNLiSHDoH/QfwjrD/WcrO0kNIMNCevPsTtreLmg5AxY7VZWfl56tLZE1L9CzZz8Vc55K/nZOXLrJhHZzNiYsguNYVWuPFSXvGCTa/84nldbjvMWBZAnD0fblDd6e7gavOAWP/AgLEhqaGMroO/+bHii7rCFhzQjAB55YDa0cDfw2VvYKipgHjN1KQHHuNbMnf2DBWAsc+YWpuz0Oy27PGl+Sp6yOXN2GR4BUCDBF9nI6+B+Rta97jUdDkaF3ExVDOSSbtQ/tiR2eR9gGQPI0Tp8qDXXt7PuOe41RgGx4+cmRB8nOR+hcBdLg1Ty2cEdsBhI2wX4qceCebElYXyU0FATaMk0Spex4GKvIo5BWM9OOJmsRO0j4x9DjZehOriAQDtTRxNiI8EgwVwKbZXAkH97PdJVqCd4Qsqj1npv24sIYRIb9OnOSliErOek6ogFkZ9PiGVasEdGUqqrqYpEWqLqrLxdUcGi82ApxxgpOGbxx76ux/XCQw78kTbdQEYHoqMCUFCB0JthSoBk4vBBaFAuvGySXpzQFjFcuIV/QCNs5gXyC1J5B4OzD1MDB2OUmtOyqEnIGhgmm1ZR2BvQ8zNecTDQz8iBFFYxlJrAIZHaaLZpCCmDIqb+4jUtCEaF3EJfE2Dur7/skViSOPA0fYcadYjSIAHn7AlANA9Ew3HqgCu6ix/xcFulL/IoCkIuN7+bGjNJEEtYahYwA49QVNwSSMWw9AzUnzr2EkC2othb0ANUyjFzMtcmEVUJTCiUKyGbcFQWDjxIJ91CCMXlJ3CiF6Nm/NdS7S/ZjZnCBDkwAPf6AqX+6GW9OfqAFpIoCkw78T70tk0Cemfi6qGi3Q6R5g+nGmhnzjKWTd/wSwNAFIfUcmMMG9gImbxZYC15i1FNjAypiVfeiX1FTQFwKpb5Fo7bxLbDYYAHR/SrTk/9Zx+szdMFQw5bYskWm1ivM8L4P/wxRd14flhqTm1UUKiIHzmZosOQEcfL65j0ZBE6J1EZeBH9GrACqG/DfOkNM8zsBkANYMB9LFBnM+MRThNuVgdbnD3IhOEGShrpfYDVrSqpSdBfK3AVDJg7c9hI9mlEQitVI0zi9OrhoqO8Xbrv+0FNCGDAR6/Et+nHCbZWdqaxybT9MxlQYY+SsjD3VBKovO2cDJ01TNFAUAdBD/p/aUxcvZ6+gKfGkvH9fVWNEZSGmhM79YPq4vNFqmhmYcZ8TJL5ERqANPsVdP6ltAtWhQpwsHRv1OR94uD7OcGGCl1foxrNzJ+F/DjscRyrOos1kSS/fkigusmur/DjD7LND/rbrNBd0JQzkjvssSmXKrzGYKbvDnjGh1/j+STcCsumgRfzcKZGiD2PAU4HVpnWpW0GbRuoiLSkUtwag/OPhdWA38NaJ2JYYtVF7kgHpRDLmGjaIyXxfi8GUK3IzQoYx6VJyj8LTkOAAVRdEAULCf6SKpa3TYSOcmlf7vsGN3zgZLb5TeL8ikCAA63Wv5OmMVcGah/Pjk57ZLlwESiv2ilmXA+873DQroQiM4wUBdVe5mGsJ5hVl6s9ToXNaKFW4C0znuEKNLRKU4zfJxQ6H2BDreyR5hQ79leq4qnwRhWTz9cKpLuK2Hjg7E15UC/d6mABqgb8z229hSIOVV91UiFaawz9TSBOpsDCX83EO/k31PmrJ3j6GMKbVliYz4VmaT+A75QiQs98mERULYaBI/fQEdexVYImoK0PEuMGV0h+Mu8AraDFoXcZEQcxUwfhOV5UWHaX7lqKa/4BDLGyvO8XHHe4AJm1gRoaBpYa5zSXmRt8H9gV6iPkUwMiJ2RjSdc5QmModfvCyQ3f+E3IytMs/SZXPz1ZavS3mRol2vcFGsWybqV6xEpKUZwJYbGNVJmMPIgSuoMaNbKqeJOky3FH5KKaHczXKpdEPTRBKsiYq7iIsESSMyPY3EwK8TS3kPPssFw5HX5eioWg30eBK4Jh8Y8Ytcvl5dCKT8G/jVlyXJ9dEtCALJ64YpTEVlfE/CGD4WGLOCvcYS5zTMkt9VGMqYQluawN9mZQ5TbEO+ZMqt0z32j0etkf2LlHSRbfR/j5qg0lPAgX/Vvb2CVo/WSVwAGsNN3AkE9eVAsH6snL83x5k/gNUDKHCDiummpC+a+mgVmKOmLDpZfqwLkS37U98SxYgqVnU4ix7PkMyWpjN0DACH/s2Vtk6MWhQeorgbINk9KjovD/mc5nS+CXz91htlDZVEZvSX2CyyLiddW5B0LudXAlmLLZ+TENCNKQxTFZApVre1FuIiQe1BYjD9KJsN+ov9vg4+x4n78KuW6d2464FZ6cCEbfSzAeiMffK/wG8BQPIM51oKmAzA6V+ANYOB9eMYjVWp2VZi0i5g/Aagw9SmE9wCTJWlvs3PfeApptL8Eplam3GcqTZnCFRN76LFsl+RAhnaQH6nAHD8I0vBv4I2iXoRl08//RTx8fHQ6XRISkrCrl27HG7/22+/oVu3btDpdOjduzdWrlxZr4OtBd8YYMJmli8aK4Et1wFH3pA1DimvAluu5Spe5Ul/j64urpQVuB/W/Yikx/FiuqhUrDgJH+3YtdYann70UwE4QZ5fA5z6ko9HLiQxALjqLc0UjeZMQPwtjOJ5taPYVuPDdM3Bf/G3tONOEh5dODB6kWxg5wraDWFZs6GEqRGNd23tikolPycYKWYNH+36vmzBv4sojhXhSkVRfaD2YLPBaanAsB9Y2aS/RCK5NB5IeYUl6BLChgFT9jKFEzkJFFUbgfPLxZYCQ4FL+2vvx1DGEuI/u5BsXtrL77bzg4xmjPwVaDe4cT+rNapLmCJblgAceFokLB2ZSpuextSarU7k9hA2kr+d6kLbbSEU0KVaSgPvuEPWVylok3CZuPzyyy+YO3cu5s2bh3379qFv376YNGkScnNzbW6/bds23HTTTbjrrruwf/9+zJ49G7Nnz8bhw4cbfPAA2P109FLZRfXgv9gpdfN1DDsDtGKffhSIvNI9+1TQMIQOox4F4Ko4bBTv93jKcjtn00TmSPgHSYKhFNg4ncQk9nogfBSrjFQapg5W9KLeQxfJKJyE4D7AsO94/+g7LL8/8ysn/ZF/WLYocAUqtdx0EeBAa6sayTzCEjrMfd19NVq6BgPUVTRVEz61Bki4BZh6BBj+I8mjvoDGYUvj6b9j3hDTLwEYt1psKTDHrKXATkZO/+wCZC1nCvDQPKaA9z7Mvj1e7YDeL9KkcvAnliLspkB1MVNiS+OZIqvKZ8ps6HckLIm3u0ZYJKg1so+R1LdLQW30f5e/7bIMEkYFbRYqQXDNECUpKQmDBw/GJ598AgAwmUyIiYnBww8/jGeeqe2DcsMNN6CsrAzLly+veW7o0KHo168fPv/8c5v7qKqqQlVVVc3joqIixMbG4uzZswgIcCCmO/kFsO9Jy+f8EoHxmwFtG+uW2tqxYSqQt5X6lgnJ8vMr+shi6xnHHZvA2UP+LuBvkQBovOiE7BvLx2kfWvq9jFgIdJhS+z0OvQSkmXWNHvi+KAJsAM7/xaggQDv9RBsdpyty2X4CAHr+C+jpxgF4223U17SfwCqf5oDJyJRH2ttA0TE+5xkAdH4A6HI/m1pabG8gGTjxBaNVNVABkKrH4tn0MP6W5rHAry6myeHxT0nKAMA/Eej+NAmHO7R0eduo2/EMYDsGaxGvAiInGdgo6smuWEkPKAXNiuLiYsTExKCwsBCBgYHueVPBBVRVVQkajUZYvHixxfO33XabMHPmTJuviYmJET744AOL51544QWhT58+dvczb948ARyVlD/lT/lT/pQ/5U/5a+V/p06dcoVuOIRLS4H8/HwYjUZERFiugiMiIpCWlmbzNdnZ2Ta3z87OtrufZ599FnPnzq15XFhYiLi4OJw5c8Z9jE1BvSCx5zqjXwoaHcq5aDlQzkXLgnI+Wg6kjElIiPusR1pkPbCXlxe8vGqHQgMDA5UfYQtBQECAci5aCJRz0XKgnIuWBeV8tByo1e4rYnbpnUJDQ6HRaJCTk2PxfE5ODiIjI22+JjIy0qXtFShQoECBAgUK7MEl4qLVajFw4ECsXy87OJpMJqxfvx7Dhg2z+Zphw4ZZbA8Aa9eutbu9AgUKFChQoECBPbicKpo7dy7mzJmDQYMGYciQIZg/fz7Kyspwxx13AABuu+02dOjQAW+88QYA4NFHH8WYMWPw3nvvYdq0aVi4cCH27NmDL75w3gTOy8sL8+bNs5k+UtC0UM5Fy4FyLloOlHPRsqCcj5aDxjgXLpdDA8Ann3yCd955B9nZ2ejXrx8++ugjJCXRxn3s2LGIj4/Hd999V7P9b7/9hueffx6ZmZno3Lkz3n77bUydOtVtH0KBAgUKFChQcHmgXsRFgQIFChQoUKCgOdB6exUpUKBAgQIFCi47KMRFgQIFChQoUNBqoBAXBQoUKFCgQEGrgUJcFChQoECBAgWtBi2GuHz66aeIj4+HTqdDUlISdu3a5XD73377Dd26dYNOp0Pv3r2xcuXKJjrStg9XzsWXX36JUaNGITg4GMHBwRg/fnyd506B83D1upCwcOFCqFQqzJ49u3EP8DKCq+eisLAQDz74INq3bw8vLy906dJFGafcBFfPxfz589G1a1d4e3sjJiYGjz32GCorK5voaNsuNm3ahBkzZiAqKgoqlQpLliyp8zXJyckYMGAAvLy80KlTJ4sKZKfhtq5HDcDChQsFrVYrfPPNN8KRI0eEe+65RwgKChJycnJsbr9161ZBo9EIb7/9tpCamio8//zzgqenp5CSktLER9724Oq5uPnmm4VPP/1U2L9/v3D06FHh9ttvFwIDA4WsrKwmPvK2B1fPhYSMjAyhQ4cOwqhRo4RZs2Y1zcG2cbh6LqqqqoRBgwYJU6dOFbZs2SJkZGQIycnJwoEDB5r4yNseXD0XP/74o+Dl5SX8+OOPQkZGhrBmzRqhffv2wmOPPdbER972sHLlSuG5554TFi1aJACo1YDZGunp6YKPj48wd+5cITU1Vfj4448FjUYjrF692qX9tgjiMmTIEOHBBx+seWw0GoWoqCjhjTfesLn99ddfL0ybNs3iuaSkJOG+++5r1OO8HODqubCGwWAQ/P39hQULFjTWIV42qM+5MBgMwvDhw4WvvvpKmDNnjkJc3ARXz8Vnn30mJCYmCnq9vqkO8bKBq+fiwQcfFMaNG2fx3Ny5c4URI0Y06nFebnCGuDz11FNCz549LZ674YYbhEmTJrm0r2ZPFen1euzduxfjx4+veU6tVmP8+PHYvn27zdds377dYnsAmDRpkt3tFTiH+pwLa5SXl6O6utqtnUAvR9T3XLz88ssIDw/HXXfd1RSHeVmgPudi2bJlGDZsGB588EFERESgV69eeP3112E0GpvqsNsk6nMuhg8fjr1799akk9LT07Fy5UrFBLUZ4K65u9m7Q+fn58NoNCIiIsLi+YiICKSlpdl8TXZ2ts3ts7OzG+04LwfU51xY4+mnn0ZUVFStH6cC11Cfc7FlyxZ8/fXXOHDgQBMc4eWD+pyL9PR0/P3337jllluwcuVKnDx5Eg888ACqq6sxb968pjjsNon6nIubb74Z+fn5GDlyJARBgMFgwP33349//etfTXHICsxgb+4uLi5GRUUFvL29nXqfZo+4KGg7ePPNN7Fw4UIsXrwYOp2uuQ/nskJJSQluvfVWfPnllwgNDW3uw7nsYTKZEB4eji+++AIDBw7EDTfcgOeeew6ff/55cx/aZYfk5GS8/vrr+M9//oN9+/Zh0aJFWLFiBV555ZXmPjQF9USzR1xCQ0Oh0WiQk5Nj8XxOTg4iIyNtviYyMtKl7RU4h/qcCwnvvvsu3nzzTaxbtw59+vRpzMO8LODquTh16hQyMzMxY8aMmudMJhMAwMPDA8eOHUPHjh0b96DbKOpzXbRv3x6enp7QaDQ1z3Xv3h3Z2dnQ6/XQarWNesxtFfU5F//+979x66234u677wYA9O7dG2VlZbj33nvx3HPPQa1W1u9NBXtzd0BAgNPRFqAFRFy0Wi0GDhyI9evX1zxnMpmwfv16DBs2zOZrhg0bZrE9AKxdu9bu9gqcQ33OBQC8/fbbeOWVV7B69WoMGjSoKQ61zcPVc9GtWzekpKTgwIEDNX8zZ87EFVdcgQMHDiAmJqYpD79NoT7XxYgRI3Dy5Mka8ggAx48fR/v27RXS0gDU51yUl5fXIicSoRSUVn1NCrfN3a7phhsHCxcuFLy8vITvvvtOSE1NFe69914hKChIyM7OFgRBEG699VbhmWeeqdl+69atgoeHh/Duu+8KR48eFebNm6eUQ7sJrp6LN998U9BqtcLvv/8uXLhwoeavpKSkuT5Cm4Gr58IaSlWR++DquThz5ozg7+8vPPTQQ8KxY8eE5cuXC+Hh4cKrr77aXB+hzcDVczFv3jzB399f+Pnnn4X09HThr7/+Ejp27Chcf/31zfUR2gxKSkqE/fv3C/v37xcACO+//76wf/9+4fTp04IgCMIzzzwj3HrrrTXbS+XQTz75pHD06FHh008/bb3l0IIgCB9//LEQGxsraLVaYciQIcKOHTtq/jdmzBhhzpw5Ftv/+uuvQpcuXQStViv07NlTWLFiRRMfcduFK+ciLi5OAFDrb968eU1/4G0Qrl4X5lCIi3vh6rnYtm2bkJSUJHh5eQmJiYnCa6+9JhgMhiY+6rYJV85FdXW18OKLLwodO3YUdDqdEBMTIzzwwANCQUFB0x94G8OGDRtsjv/S9z9nzhxhzJgxtV7Tr18/QavVComJicK3337r8n5VgqDEyhQoUKBAgQIFrQPNrnFRoECBAgUKFChwFgpxUaBAgQIFChS0GijERYECBQoUKFDQaqAQFwUKFChQoEBBq4FCXBQoUKBAgQIFrQYKcVGgQIECBQoUtBooxEWBAgUKFChQ0GqgEBcFChQoUKBAQauBQlwUKFCgQIECBa0GCnFRoECBAgUKFLQaKMRFgQIFChQoUNBq8P81h/V4pJULigAAAABJRU5ErkJggg==", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "ax = plt.gca()\n", + "\n", + "order = 2\n", + "\n", + "ax.autoscale(False, axis=\"x\")\n", + "ax.autoscale(False, axis=\"y\")\n", + "\n", + "for _, _, valid, path, _ in scene.all_paths(\n", + " min_order=order, max_order=order, approx=False\n", + "):\n", + " path.plot(ax)" + ] + }, + { + "cell_type": "markdown", + "id": "31dfeb25-660d-4cf7-9675-7896234f9eeb", + "metadata": {}, + "source": [ + "## Training data generation" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "12c60a29", + "metadata": {}, + "outputs": [], + "source": [ + "key = jax.random.PRNGKey(12345)\n", + "key, key_example_scene = jax.random.split(key, 2)\n", + "\n", + "\n", + "def random_scenes(\n", + " *,\n", + " key: PRNGKeyArray,\n", + " min_ratio: float = 0.20,\n", + " max_ratio: float = 0.30,\n", + " min_num_walls: int = 4,\n", + " min_angle: float = -0.05 * jnp.pi,\n", + " max_angle: float = +0.05 * jnp.pi,\n", + ") -> Iterator[tuple[Scene, Float[Array, \"2+num_walls*2 2\"]]]:\n", + " while True:\n", + " key, key_ratio, key_tx_rx, key_num_walls, key_walls, key_angles = (\n", + " jax.random.split(key, 6)\n", + " )\n", + " # A random scaling is applied to the inner square\n", + " ratio = jax.random.uniform(key_ratio, minval=min_ratio, maxval=max_ratio)\n", + " # TX and RX are randomly sampled\n", + " points = jax.random.uniform(key_tx_rx, (2, 2))\n", + " tx = Point(xy=points[0, :])\n", + " rx = Point(xy=points[1, :])\n", + " scene = Scene.square_scene_with_obstacle(ratio=ratio)\n", + " center = scene.center()\n", + " indices = jnp.arange(len(scene.objects), dtype=jnp.int32)\n", + " # The number of walls is random\n", + " num_walls = jax.random.randint(\n", + " key_num_walls, (), minval=min_num_walls, maxval=len(scene.objects) + 1\n", + " )\n", + " # Walls are shuffled (to make sure deepset models is permutation invariant, but should not be needed)\n", + " wall_indices = jax.random.choice(\n", + " key_walls, indices, shape=(num_walls,), replace=False\n", + " )\n", + " # Each wall receives a random permutation around the center of the scene\n", + " angles = jax.random.uniform(\n", + " key_angles, shape=(num_walls,), minval=min_angle, maxval=max_angle\n", + " )\n", + " objects = [\n", + " scene.objects[wall_index].rotate(angle=angle, around=center)\n", + " for wall_index, angle in zip(wall_indices, angles)\n", + " ]\n", + "\n", + " points = jnp.vstack([points, *[obj.xys for obj in objects]])\n", + "\n", + " yield (\n", + " scene.with_transmitters(tx=tx).with_receivers(rx=rx).with_objects(*objects),\n", + " points,\n", + " )\n", + "\n", + "\n", + "def samples(\n", + " order: int, **kwargs: Any\n", + ") -> Iterator[tuple[Float[Array, \"2+num_walls*2 2\"], Int[Array, \"num_paths {order}\"]]]:\n", + " for scene, points in random_scenes(**kwargs):\n", + " path_candidates = [\n", + " path_candidate\n", + " for _, _, _, path_candidate in scene.all_valid_paths(\n", + " min_order=order, max_order=order, approx=False\n", + " )\n", + " ]\n", + "\n", + " # Handle edge case with no path\n", + " if len(path_candidates) > 0:\n", + " path_candidates = jnp.stack(path_candidates, dtype=jnp.int32)\n", + " else:\n", + " path_candidates = jnp.zeros((0, order), dtype=jnp.int32)\n", + "\n", + " yield points, path_candidates\n", + "\n", + "\n", + "scenes = random_scenes(key=key_example_scene)" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "5eabdeb5-1f97-4745-b4db-bdb17205e7b5", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": "iVBORw0KGgoAAAANSUhEUgAAAiMAAAGdCAYAAADAAnMpAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjguNCwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy8fJSN1AAAACXBIWXMAAA9hAAAPYQGoP6dpAAA5VUlEQVR4nO3dfXSU5Z3/8c9kQhICSQiEhASCCIrIY1o8UlSO2s2Wn7psreuRlRaVVq0oe6g53SpFpT5UrFoWa6kcUdT91S60Lm67C0vrUqlV6foTBFEClifDU8KTISGBhGTu3x8XkwfIw8xk5r7umXm/zpkzd4YZ880IySff63vdt89xHEcAAACWpNguAAAAJDfCCAAAsIowAgAArCKMAAAAqwgjAADAKsIIAACwijACAACsIowAAACrUm0XEIpAIKCDBw8qKytLPp/PdjkAACAEjuOotrZWRUVFSknpvP8RF2Hk4MGDKi4utl0GAACIwL59+zRkyJBO/zwuwkhWVpYk88VkZ2dbrgYAAISipqZGxcXFLT/HOxMXYSS4NJOdnU0YAQAgznQ3YsEAKwAAsIowAgAArCKMAAAAqwgjAADAKsIIAACwijACAACsIowAAACrCCMAAMAqwggAALCKMAIAAKwijAAAAKsIIwAAwCrCCAAAZz3/vHTbbdKBA7YrSS6EEQAAzlq2TPq//1fatMl2JcmFMAIAwFklJeZ+82abVSQfwggAAGcFw8iWLVbLSDqEEQAAzqIzYgdhBACAsyZMMPe7dkk1NXZrSSaEEQAAzhowQBoyxBx//LHdWpIJYcTDamokx7FdBQAkF5Zq3EcY8ahAQMrPl3Jy2O8OAG4ijLgv1XYBON+MGdLevVJDg7k995wJJgMGnH/LzZVS+b8IAFHDjhr38WPMg/73f6Xdu1s/fuaZrp+fk9NxUOnq1qeP5PPF9usAgHgUDCNbt0pNTfzC5wbeYg9avlx6803TERk6VPrGN6Rjx1pvx4+b+y++MM8/ccLc2gaY7qSlnR9Q+vfvOsD0788/SgCJ78ILpb59pZMnpR07pDFjbFeU+PjR4kFXXy198IE5vuoqafHijp/X3GwCSdugEsqtoUFqbJQOHTK3cITThQmGm7596cIAiB8pKWaL73vvmbkRwkjsEUY86vPPzf0FF3T+HL9fysszt1A5jlRff35ACXZbOrv1tAvTXdeFLgwALykpaQ0j3/ym7WoSH9/uPSqUMBIJn8/Mi/TpY5aAQtXTLkxlpbmF49wuTCiBhi4MgGhgiNVdhBGPilUYiVQkXRip4y5Md7fqatPBiaQL06tX+MtI/fub1yH+XXPNNSopKdHiztY2gRC13d7rOPySE2uEEY/yWhiJVGamuRUXh/6arrowXS0nnT4tnTkTWRcmOzv8HUl0YYDENWaM+SXsyBEzW1dUZLuixOZzHO+f47OmpkY5OTk6ceKEsrOzbZcTc9XV5vwhkpnm7tPHajlxoyddmEi07cKEOhNDFyZ27rjjDr322mvtHnv00Ue1dOlSbd26VQMGDJAk3XDDDaqvr9e6deuUksJ5H9G5MWOkbduk1aul66+3XU18CvXnN50RDwp2RfLyCCLhiLQLU10dfohxowvTNuBkZdGF6c5zzz2nzz77TGPHjtVjjz0mSRo4cKDWrl2rO++8U2+++aaWLFmi999/X1u2bCGIoFslJSaMbN5MGIk1wogHJcoSTTzw+1t/4Iejqy5MZ0tJX3xhujA1Nea2Z0/on69Xr8h2JCVTFyYnJ0dpaWnKzMzUoEGDWh7/5S9/qZKSEj344IP62c9+ppdeeklDw5neRtIqKZF+9SuGWN0Qdhh555139Mwzz2jjxo06dOiQ3nzzTd14441dvmb9+vUqKyvTp59+quLiYj300EO64447Iiw58RFGvM9GF6aqytzCEezChBNk4q0L09ws/fnPZl2/o2W34cOH69lnn9V3v/tdTZ8+XTNmzLBSJ+IP16hxT9hhpK6uThMmTNC3v/1t3XTTTd0+f8+ePbrhhht0zz336PXXX9e6det05513qrCwUFOnTo2o6ERHGElMPenCdHceGLe7MB39uY0uzKpV0ty50v79rY/t2mVOHNj229M777wjv9+vvXv3qqmpSamcxAYhmDDB3P/1r2Z+r29fu/UksrD/RV533XW67rrrQn7+0qVLdeGFF+qnP/2pJOnSSy/Vu+++q3/5l38hjHSCMIK2gl2YIUNCf00oXZiOAs6pU5F3YbKywt+R1JMuzKpV0s03n9sJSdPJk826+WbpjTdMIFm5cqVWrVql9evX65ZbbtHjjz+uRx99NLJPiqSSny8VFpqu29at0uTJtitKXDH/9WDDhg0qLS1t99jUqVP1ve99r9PXNDQ0qKGhoeXjmpqaWJXnSYQR9FSkXZhTp8JfRgp2YWprzW3v3tA/X2pq+MtI/fubr2/u3I52Qg2T9L9ynL36p3/qqy99qV6zZ8/WT37yE1111VV65ZVX9Hd/93e67rrr9JWvfCW8NwdJqaTEhJHNmwkjsRTzMFJZWamCgoJ2jxUUFKimpkanTp1S7969z3vNwoULk/o3F8IIbOnd23Rgwu3CnDgRfog5dcpcETWSLkxmplm+Ot/3Jd0uabQOHjyl6677G40de7lmzpwjxzG/CM2ePVvf+ta3tHnzZvWl745ulJRI//3fzI3EmicXTufNm6eysrKWj2tqalQczqRgHDt1Sjp82BwTRhAP/H7TrejfX7r44tBf110XpqNlpOPHW6+v1LGRkja0fLRjh7nl5poujOnA/EyFhT/Tt74VWhcmLa0n7w7iHaeFd0fMw8igQYNUdc6vPVVVVcrOzu6wKyJJ6enpSk9Pj3VpnlRRYe779m098RmQiCLpwgQCZhZmzRpp5szunz9woBk8DHZhDh9uDfuh6ts3/FmY7Oz42pGEzgXDyMcfmy6g32+1nIQV8zAyefJkrVmzpt1jb731liaz+Nahtks0fDMD2ktJMd2KW2+V5s2TDhzo+Ay6Pp8JOXv2mB8ewS5MOLuSvvjChJ+TJ80t+G8zFK1dmNB2IgVvdGG8Z8QIc/LJujqzq2bUKNsVJaaww8jJkye1c+fOlo/37NmjzZs3q3///ho6dKjmzZunAwcO6F//9V8lSffcc49+/vOf6wc/+IG+/e1v649//KN+/etfa/Xq1dH7KhJIsDPCEg3QOb9feu45s5vG52sfSIIhfvHi1t9ie9KF6S60nBtw6uvpwiQSv18aN076y1/M3AhhJDbCDiMffvihrr322paPg7Mdt99+u1599VUdOnRIFcGfqJIuvPBCrV69Wvfff7+ee+45DRkyRC+99BLbejvB8CoQmptuMtt3zz3PyJAhJoiEcBqkLgW7MOHOwpw+HdmOpEi7MMGZnXBDDF2Y0JWUtIaRf/xH29UkprDDyDXXXKOurq336quvdviajz76KNxPlZQII0DobrpJ+vrXW8/AWlgoTZlid10/I0MaPNjcQtW2CxPOUlJ9vZljOHLE3MLRURemu1CTk5OcXRiGWGPPk7tpkhlhBAiP3y9dc43tKnqmbRcmHKF2YdoGnOPH3evCBJ8b7/sROC187BFGPIYwAiBUkXZhIjkvTE+6MH36hL+M5KUuzLhxJjAGr9Ld5jqMiBLCiIc0NbWufRNGAMRCSoo5bUBurnTRRaG/7twuTCjLScEuTF2dubUZJ+xWR12YULoysejCZGaauaEdO8xSDWEk+ggjHnLwoPnNIy2Nv+wAvMWNLkww4NTVxb4L0zbY5OSYkNaVkhITRjZvlth/EX2EEQ8JLtEUF3f/DwMAvK4nXZhwr1Td0y5Mbm7X4SV4oef1680J9xJhFsZLCCMewrwIAJguTFGRuYWqsy5Md6Em2IU5etTcurN2bWt3qG0XJtTB3lC6MMmIMOIhhBEAiEykXZiGhtA6L4cOSR9+aF4TPNFeJF2Y4M6pcJaRBgwwAS2REUY8hDACAO5KTw+9CzNokLnC9PvvmzOxhrsjqa7OdHBC7cK0lZkZ2Y6keOnCEEY8hDACAN41YYL0hz+Yi+Z95StSv37m2jWh6qwL09VS0vHjZhmpvt7c9u0L/fOlpEgLF0o/+EHYX6rrCCMeQhgBAO8qKTFhJNKTn4XThQkKBKSamsi7MJmZkdXqNsKIRzgOF8kDAC+zcVr4lBTTgYmkC3P8OGEEYTpyxFzmPHjpcwCAt7QNI4GAt+cx0tPNtZrihYffyuQSXKIpLORqmgDgRSNHSr17myWQXbtsV5NYCCMewbwIAHib3y+NHWuOuWhedBFGPIIwAgDexxV8Y4Mw4hGEEQDwPsJIbBBGPIIwAgDeZ2NHTTIgjHgEYQQAvG/cOLPr8cCB8K8ojM4RRjyCMAIA3peV1Xq+D7oj0UMY8YCaGqm62hwTRgDA25gbiT7CiAcEuyL9+0t9+9qtBQDQNcJI9BFGPIAlGgCIHwyxRh9hxAMIIwAQP4JhpLxcOn3aaikJgzDiAYQRAIgfRUVSXp7U3Cx9+qntahIDYcQDCCMAED98PmnCBHPM3Eh0EEY8gDACAPGFIdboIox4AGEEAOILQ6zRRRix7PRpqbLSHBNGACA+tO2MBAI2K0kMhBHL9u0z95mZ0oABdmsBAITmkkuk9HSptlbau9d2NfGPMGJZ2yUan89uLQCA0PTqJY0ZY46ZG+k5wohlzIsAQHxiiDV6CCOWEUYAID4RRqKHMGIZYQQA4hM7aqKHMGIZYQQA4tP48ea+okI6ftxuLfGOMGIZYQQA4lNOjjR8uDmmO9IzhBGLmpul/fvNMWEEAOIPp4WPDsKIRQcPSk1NUmqqVFhouxoAQLgYYo0OwohFwSWa4mLJ77dbCwAgfAyxRgdhxCLmRQAgvgXDyLZtUmOj1VLiGmHEIsIIAMS34mIpN1c6c8YEEkSGMGIRYQQA4pvPxxBrNBBGLCKMAED8Y4i15wgjFhFGACD+EUZ6jjBiieMQRgAgEbTdUeM4VkuJW4QRS44elU6dMsfFxXZrAQBE7tJLpV69pOpqc2p4hI8wYkmwK1JYKKWn260FABC5tDRpzBhzzFJNZAgjlrBEAwCJgx01PUMYsYQwAgCJgyHWniGMWBJcVySMAED847TwPUMYsYTOCAAkjuAyzZ49ZpAV4SGMWEIYAYDEkZvb+v3844/t1hKPCCOWEEYAILEwxBo5wogFJ09Kx4+bY8IIACQGhlgjRxixINgVyc2VsrLs1gIAiA7CSOQIIxawRAMAiScYRj79VDpzxmopcSeiMLJkyRINGzZMGRkZmjRpkj744IMun7948WJdcskl6t27t4qLi3X//ffr9OnTERWcCAgjAJB4hg2TsrOlxkZp+3bb1cSXsMPIypUrVVZWpgULFmjTpk2aMGGCpk6dqsOHD3f4/F/96ld68MEHtWDBApWXl+vll1/WypUr9cMf/rDHxccrwggAJB6fjyHWSIUdRhYtWqS77rpLs2bN0ujRo7V06VJlZmZq+fLlHT7//fff15VXXqkZM2Zo2LBh+trXvqZbb721225KIiOMAEBiYm4kMmGFkcbGRm3cuFGlpaWt/4GUFJWWlmrDhg0dvuaKK67Qxo0bW8LH7t27tWbNGl1//fWdfp6GhgbV1NS0uyUSwggAJCbCSGRSw3ny0aNH1dzcrIKCgnaPFxQUaHsnC2QzZszQ0aNHddVVV8lxHDU1Nemee+7pcplm4cKFevTRR8MpLa4QRgAgMbU9LbzjmKUbdC/mu2nWr1+vJ598Ur/4xS+0adMmrVq1SqtXr9bjjz/e6WvmzZunEydOtNz27dsX6zJd09goHTpkjgkjAJBYRo+WUlOlY8ekAwdsVxM/wuqM5OXlye/3q6qqqt3jVVVVGjRoUIevefjhhzVz5kzdeeedkqRx48aprq5Od999t+bPn6+UlPPzUHp6utLT08MpLW7s22fScu/eUl6e7WoAANGUkSFdeqm0datZqhkyxHZF8SGszkhaWpomTpyodevWtTwWCAS0bt06TZ48ucPX1NfXnxc4/H6/JMlxnHDrjXttl2ho3wFA4mFHTfjCXqYpKyvTsmXL9Nprr6m8vFyzZ89WXV2dZs2aJUm67bbbNG/evJbnT5s2TS+88IJWrFihPXv26K233tLDDz+sadOmtYSSZBIMI0OH2q0DABAbDLGGL6xlGkmaPn26jhw5okceeUSVlZUqKSnR2rVrW4ZaKyoq2nVCHnroIfl8Pj300EM6cOCABg4cqGnTpunHP/5x9L6KOMLwKgAktrZDrAiNz4mDtZKamhrl5OToxIkTys7Otl1Oj8yaJb36qvTEE9L8+barAQBE29Gj0sCB5rimJrmvQRbqz2+uTeMyOiMAkNjy8loHVz/+2G4t8YIw4jLCCAAkPoZYw0MYcVEgYLb2SoQRAEhkDLGGhzDiokOHzGWl/X6pqMh2NQCAWCGMhIcw4qLgEs2QIeYMfQCAxBQMI598IjU1WS0lLhBGXMS8CAAkh+HDpb59pdOnpc8+s12N9xFGXEQYAYDkkJLCEGs4CCMuIowAQPIgjISOMOIiwggAJA+GWENHGHERYQQAkkfbMOL9c53bRRhxieMQRgAgmYwda2ZHjhyRKittV+NthBGXHD8u1dWZY67YCwCJr3dvadQoc8xSTdcIIy4JdkUKCqSMDLu1AADcwRBraAgjLmGJBgCSD0OsoSGMuIQwAgDJhzASGsKISwgjAJB8gss0f/1r69wgzkcYcQlhBACST0GBVFhodlRu3Wq7Gu8ijLiEMAIAyYmlmu4RRlxCGAGA5MSOmu4RRlxQVycdO2aOCSMAkFzojHSPMOKCYFckJ8fcAADJIxhGtm6VmputluJZhBEXsEQDAMnrooukzEypvl7audN2Nd5EGHEBYQQAkpffL40fb45ZqukYYcQFhBEASG4MsXaNMOICwggAJDeGWLtGGHEBYQQAkhthpGuEERcQRgAguY0bJ/l8UmWlVFVluxrvIYzEWGOjdPCgOSaMAEBy6tNHGjnSHG/ZYrcWLyKMxNj+/eaaBBkZUn6+7WoAALYwxNo5wkiMBZdohg41LToAQHJibqRzhJEYY14EACARRrpCGIkxwggAQGoNIzt2SKdOWS3FcwgjMUYYAQBI0qBBZnYwEJA++cR2Nd5CGIkxwggAQDJzgyzVdIwwEmMVFeaeMAIAYEdNxwgjMRQIEEYAAK3ojHSMMBJDVVXmpGd+vzR4sO1qAAC2BcPIli3mF1YYhJEYCs6LDB4spabarQUAYN/IkeYkmHV10u7dtqvxDsJIDDG8CgBoKzXVXKdGYqmmLcJIDBFGAADnYoj1fISRGCKMAADOxRDr+QgjMUQYAQCcizByPsJIDBFGAADnGj/e3B84IB09arcWryCMxIjjEEYAAOfLypIuusgcb9litxavIIzESHW1VFtrjocOtVoKAMBjWKppjzASI8GuSH6+1Lu33VoAAN7Cjpr2CCMxwhINAKAzdEbaI4zECGEEiD8NDdKjj0r/+I/SmTO2q0EiC4aR7dul06etluIJhJEYCYYR5kWA+JGWJj37rLRypbRzp+1qkMgGD5YGDJCamqRt22xXYx9XTIkROiOItePHpRdfNN/UZs60XU38cBypvl764ovW2/HjrcfZ2dLJk9Ldd5tdD36/9J//abtqJBqfz3RH1q0zSzVf/rLtiuwijMQIYQSxtmePNG+eVFiYfGHEcaRTpzoPFOfezv2zUJZg3n3X3DOAjliZMKE1jCQ7wkiMEEYQa1VV5r6gwG4dPdGTQNHY2LPPnZoq5ea2v/XvL+3dK73/vvlBMXeuedxxzG+yQDQxxNqKMBID9fXSkSPmmDCCWPFKGDl9OvRAce6fNzT07HP7/R0HinMf6+jP+vTpOGCsWSPdcIPU3CzNmtWz+oCuBMPIli0EXsJIDFRUmPusLKlfP6ulIIFFM4w0NEQeKHq6E8DvN/9OIgkUfftG/xv4mDHmfscOs5zTq1d0//tA0KhRZmi6psZ05C680HZF9hBGYqDtEk0yJ13E1rlhpLEx8kBx6lTPaklJiTxQZGV5699JcbHpmtTVSbt2mR8YQCz06iWNHStt2mSWaggjYVqyZImeeeYZVVZWasKECXr++ed1+eWXd/r86upqzZ8/X6tWrdLx48d1wQUXaPHixbr++usjLtzLmBdBtGzaJJWXdxwm3n/fPOfFF6UlS8zyYE/4fD0LFCkJcqKAlBRp9Gjp//0/6dNPCSOIrZKS1jDyjW/YrsaesMPIypUrVVZWpqVLl2rSpElavHixpk6dqh07dig/P/+85zc2Nupv//ZvlZ+frzfeeEODBw/W559/rn4JvH5BGEG0LF0qLVvW9XNOnGg99vmknJzIAkV2duIEip4KhpFt26R/+Afb1SCRcVp4I+wwsmjRIt11112adXaya+nSpVq9erWWL1+uBx988LznL1++XMePH9f777+vXmcXX4cNG9azqj2OMIJoGTdO+upXOw4UTzwh7d8v/fzn0nXXtQYKv9921fEvODfy6ad260DiY0eNEVYYaWxs1MaNGzVv3ryWx1JSUlRaWqoNGzZ0+Jrf/e53mjx5su677z799re/1cCBAzVjxgw98MAD8ifod03CCKLln/7J3Dry0EPmfsoUafhw92pKBqNHm3vOjIlYC3ZGKirM8mturt16bAmrKXv06FE1Nzer4Jzx/YKCAlVWVnb4mt27d+uNN95Qc3Oz1qxZo4cfflg//elP9cQTT3T6eRoaGlRTU9PuFk8II4i1pibp2DFzbHtrbyJqu6OmqcluLUhsOTmtg6tbttitxaaYrxAHAgHl5+frxRdf1MSJEzV9+nTNnz9fS5cu7fQ1CxcuVE5OTsutuLg41mVGzZkz0oED5pgwglg5csSclyAlRcrLs11N4hk6VMrMNDuUdu2yXQ0SHUs1YYaRvLw8+f1+VQX3FJ5VVVWlQYMGdfiawsJCjRw5st2SzKWXXqrKyko1dnIKxXnz5unEiRMtt3379oVTplUHDkiBgNk7zm+siJXgP8G8PGZEYiG4o0ZibgSxxxBrmGEkLS1NEydO1Lp161oeCwQCWrdunSZPntzha6688krt3LlTgUCg5bHPPvtMhYWFSktL6/A16enpys7ObneLF22v1svOBMSKV86+msiYG4Fb6IxEsExTVlamZcuW6bXXXlN5eblmz56turq6lt01t912W7sB19mzZ+v48eOaO3euPvvsM61evVpPPvmk7rvvvuh9FR7CvAjcQBiJPXbUwC3BMLJtW8+vuRSvwt7aO336dB05ckSPPPKIKisrVVJSorVr17YMtVZUVCilTUuguLhYv//973X//fdr/PjxGjx4sObOnasHHnggel+FhxBG4AbCSOzRGYFbhg41JxysrjYnOQwu2ySTiM7AOmfOHM2ZM6fDP1u/fv15j02ePFl/+ctfIvlUcYcwAjcQRmIv2BnZvt3sqEnl4hmIEZ/PdEfWrzdLNckYRphqiDLCCNxAGIm9Cy5o3VGze7ftapDokn2IlTASZYQRuIEwEnspKdKll5pj5kYQa8k+xEoYiaJAwJxFTyKMILYII+5gbgRuaRtGHMdmJXYQRqLo8GGpocH8RjVkiO1qkMgII+5gRw3cMnq01KuXGWKNo1NrRQ1hJIqCSzRFReYvFRALzc3mDKwSYSTW6IzALWlprX/fknGphjASRcyLwA3HjpklQUkaONBuLYmu7Y6a5ma7tSDxJfPcCGEkiggjcENwiWbAADpwsTZsmNS7t1l+ZUcNYi2Zd9QQRqKIMAI3MC/iHnbUwE10RhAVhBG4gTDiLuZG4JZgZ2TPHunECbu1uI0wEkWEEbghGEY6uVA2oowdNXBL//7m1PCS9PHHdmtxG2EkiggjcAOdEXfRGYGbknWphjASJdXVUk2NOQ4mWyAWCCPuYkcN3JSsQ6yEkSgJdkXy8qQ+fezWgsRGGHHXsGFSRoZ0+rRZywdiic4IeoQlGriFMOIuv58dNXBPMIx88ol05ozVUlxFGIkSwgjcQhhxH3MjcMuwYVJ2trla9I4dtqtxD2EkSggjcEMgYK6BJBFG3MSOGrglJSU550YII1FCGIEbvvhCamoyx/n5dmtJJnRG4KZknBshjEQJYQRuCC7R5OaaC2vBHcHOSHk5O2oQe3RGEDHCCNzAvIgdF17YuqNm717b1SDRte2MOI7NStxDGImCU6da1/EJI4glwogdfr80apQ5Zm4EsTZmjPk7d+yYdPCg7WrcQRiJgn37zH3fvqZ9DsQKYcSe4NwIYQSxlpHRup08WZZqCCNR0HaJxuezWwsSG2HEnuDcCEOscEOyDbESRqKAeRG4hTBiD50RuCnZhlgJI1FAGIFbCCP2sKMGbqIzgrARRuAWwog9w4dL6ensqIE7gp2RnTul2lq7tbiBMBIFhBG4hTBiT9sdNcyNINYGDpQGDzbHW7farcUNhJEoIIzADY5DGLGN08LDTcm0VEMY6aGmJmn/fnNMGEEsnThhLp4lEUZs4bTwcBNhBCE7eNAMs6WlSYMG2a4GiSzYFcnONuchgPvojMBNybSjhjDSQ8ElmuJic7VFIFZYorEv2BkpLzdXUAZiKdgZ2bq19QKZiYofnz3EvAjcQhixL7ij5tQpdtQg9kaMkPr0MTu4/vpX29XEFmGkhwgjcAthxL7UVOmSS8wxcyOItZSU5FmqIYz0EGEEbiGMeANzI3BTsgyxEkZ6iDACtxBGvIEdNXATnRGEJBhGhg61WwcSH2HEG+iMwE3BzshHH5lzDSUqwkgPOI5UUWGO6Ywg1ggj3sCOGrhp7FgzO3LkiFRZabua2CGM9MCRI2aq3uczW3uBWCKMeMOIEea8QvX1rZ1RIFYyM1uHprdssVtLLBFGeiD4jaiw0HxzAmKFU8F7Bztq4LZkGGIljPQAw6twy8mTpgsnEUa8gLkRuCkZhlgJIz1AGIFbgl2RPn3MDXaxowZuojOCLhFG4BaWaLyFzgjcFAwjn30m1dVZLSVmCCM9QBiBWwgj3sKOGripoMBciNVxpE8+sV1NbBBGeoAwArcQRrzlooukXr3Mb6nB7f1ALCX6Ug1hpAcII3ALYcRb2FEDtxFG0KGaGqm62hwTRhBrhBHvYW4Ebkr0HTWEkQgFuyL9+0t9+9qtBYmPMOI97KiBm4KdkY8/lpqbrZYSE4SRCLFEAzcRRryHzgjcdPHFUu/e5sy/O3farib6CCMRIozATYQR72nbGUnkC5jBG/x+afx4c5yIp4UnjESIMAI3EUa8hx01cFsiD7ESRiJEGIFb6uvN6eAlwoiX9OoljRxpjpkbgRsSeYiVMBIhwgjcEuyKZGRIWVl2a0F7zI3ATXRGcB7CCNzSdonG57NbC9pjRw3cNG6c+R5w6JB0+LDtaqKLMBKB06elykpzTBhBrDEv4l10RuCmvn3Nrhop8YZYCSMR2LfP3GdmSgMG2K0FiY8w4l3sqIHbEnWphjASgbZLNLTNEWuEEe+6+GJzaviTJ1t/SQFiiTDSxpIlSzRs2DBlZGRo0qRJ+uCDD0J63YoVK+Tz+XTjjTdG8mk9g3kRuIkw4l3sqIHbEnVHTdhhZOXKlSorK9OCBQu0adMmTZgwQVOnTtXhbqZp9u7dq+9///uaMmVKxMV6BWEEbiKMeBtzI3BTsDOyfbt06pTVUqIq7DCyaNEi3XXXXZo1a5ZGjx6tpUuXKjMzU8uXL+/0Nc3NzfrmN7+pRx99VMOHD+9RwV5AGIGbCCPexo4auKmwUBo4UAoEEisAhxVGGhsbtXHjRpWWlrb+B1JSVFpaqg0bNnT6uscee0z5+fn6zne+E3mlHkIYgZsII95GZwRu8vkSc24kNZwnHz16VM3NzSo457tiQUGBtm/f3uFr3n33Xb388svaHMa71tDQoIaGhpaPa2pqwikz5ggjcBNhxNvO3VHDUDtiraREeuutxAojMd1NU1tbq5kzZ2rZsmXKy8sL+XULFy5UTk5Oy624uDiGVYanuVnav98cE0YQa6dPSydOmGPCiDcFd9Q0NLQGRyCWEnGINazOSF5envx+v6rO+RdXVVWlQYMGnff8Xbt2ae/evZo2bVrLY4FAwHzi1FTt2LFDI0aMOO918+bNU1lZWcvHNTU1ngkkBw9KTU3mm09hoe1qkOiCc+FpaVK/flZLSVqOY7bunjghVVeff3/11dJnn0nFxeb7AhBrwWWaLVvM7EhKApykI6x/OmlpaZo4caLWrVvXsj03EAho3bp1mjNnznnPHzVqlLZu3drusYceeki1tbV67rnnOg0Y6enpSk9PD6c01wSXaIqLzSWdgVgK5v78fNr/kWps7DxItL3v6s/O/g7VoV/8Qpo924UvBDjrkkuk9HQTknfvNleQjndh5/iysjLdfvvtuuyyy3T55Zdr8eLFqqur06xZsyRJt912mwYPHqyFCxcqIyNDY8eObff6fmd/vTv38XjBvAjclJEhfeMbUm6u7UrsCATMN9xIAkTwPlrbH1NTpZwc06Fqez90aHT++0CoUlPNdWo+/NB0R5IyjEyfPl1HjhzRI488osrKSpWUlGjt2rUtQ60VFRVKSYSeUScII3DTuHHSqlW2q4hcQ0NkAaLtc6N1mvW+fc8PEt3dtz3OzKQ7Be8oKTFhZPNm6R/+wXY1PRfRCuecOXM6XJaRpPXr13f52ldffTWST+kZhBEki0BAqqmJPEhUV5swEg29eplQ0FFICOU+O5tlVSSWRNvey7hVmAgjiBenT4cXHM69r62NXlciO7vrrkN39xkZdCWAthJtRw1hJEyEEXjFnj3Sj3/ceaBobIzO50lPD28549z7rCy6EkC0jR9v7vfvl44di/8ryBNGwuA4hBF4x8mT0ssvd/0cny/0LkRnj2VkxPorARCu7GxpxAhp1y4zxPrVr9quqGcII2E4erR1Mt8jpz1BEhsyxHRGugoWffsmxjkIAJyvpMSEkc2bCSNJJdgVKSw0rWvAptxc6Yc/tF0FAFtKSqR///fEmBvhd6YwsEQDAPCKRBpiJYyEoaLC3BNGAAC2Bbf3lpeb3XPxjDASBjojAACvGDJE6t/fXC9t2zbb1fQMYSQMhBEAgFf4fO0vmhfPCCNhIIwAALwkUc7EShgJA2EEAOAliTLEShgJ0cmT0vHj5pgwAgDwgradkWhdvsEGwkiIgl2R3FxzemsAAGwbNUpKSzMXtdy713Y1kSOMhIglGgCA16SlSWPGmON4HmIljISIMAIA8KJEGGIljISIMAIA8CLCSBIhjAAAvCgRdtQQRkJEGAEAeFEwjHz+ufTFF3ZriRRhJESEEQCAF/XrJw0bZo7jdYiVMBKCxkbp0CFzTBgBEA2NjY22S0ACiffTwhNGQrBvnzmZTO/eUl6e7WoAxKNrrrlGc+bM0fe+9z3l5eVp6tSpGj9+vBoaGiSZcPKlL31Jt912m+VKEY/ifYiVMBKC4BLN0KHmwkQAEInXXntNaWlpeu+997R48WLV1dXpwQcflCTNnz9f1dXV+vnPf265SsSjeB9iTbVdQDxgXgRANFx88cV6+umnWz7+5S9/qauvvlpZWVlavHix3n77bWVnZ1usEPEq2Bn59FMzWpCWZrWcsBFGQkAYARCJ5kCz/lzxZx2qPaTq09W67MuXtfvzyZMn6/vf/74ef/xxPfDAA7rqqqssVYp4d8EFUk6OdOKEVF7e2imJF4SREBBGAIRrVfkqzV07V/tr9psHKqVdabt0ffn1uunSmyRJgUBA7733nvx+v3bu3GmxWsQ7n890R/70JzPEGm9hhJmREBBGAIRjVfkq3fzrm1uDyFknG0/q5l/frFXlqyRJzzzzjLZv364//elPWrt2rV555RUb5SJBxPMQK2EkBIQRAKFqDjRr7tq5ctT59dy/t/Z7+nDjh3rkkUf00ksv6corr9SiRYs0d+5c7d6928VqkUgIIwksEDBbeyXCCIDu/bniz+d1RNpy5GjfsX26+dabdccdd2jatGmSpLvvvlvXXnutZs6cqebmZrfKRQJpu6PG6TwLexIzI904dEg6c0by+6WiItvVAPC6Q7WHOv6DWW2Oe0kL/32hbh13a7un/Pa3v41dYUh4o0dLqanmlPD79pnTUcQLOiPdCC7RDBli/icDQFcKswqj+jwgVOnpJpBI8XcmVsJIN5gXARCOKUOnaEj2EPnU8RkSffKpOLtYU4ZOcbkyJIN4nRshjHSDMAIgHP4Uv577P89J0nmBJPjx4v+zWP4Uv+u1IfERRhIUYQRAuG669Ca9ccsbGpw9uN3jQ7KH6I1b3mg5zwgQbfF6WnimILpBGAEQiZsuvUlfv+TrLWdgLcwq1JShU+iIIKaCYWT3bnM21pwcu/WEijDSDcIIgEj5U/y6Ztg1tstAEhkwQCouNrtpPv5YmhIno0ks03TBcQgjAID4EpwbiacdNYSRLhw/LtXVmeN42q8NAEhe8TjEShjpQrArUlAgZWTYrQUAgFAQRhIMSzQAgHgTHGL95BNzBvF4QBjpAmEEABBvLrxQysqSGhqkHTtsVxMawkgXCCMAgHiTktLaHYmXIVbCSBcIIwCAeBRvcyOEkS4QRgAA8YgwkkAIIwCAeNT2tPCOY7WUkBBGOlFXJx07Zo4JIwCAeDJmjOT3S0ePSgcP2q6me4SRTgS7Ijk58XNufwAAJKl3b2nUKHMcD0s1hJFOsEQDAIhn8XRaeMJIJwgjAIB4Fk9DrISRThBGAADxjDCSAAgjAIB4FtxRs3OnVFtrt5buEEY6QRgBAMSzgQOloiKztXfrVtvVdI0w0gnCCAAg3sXLECthpAONja37sgkjAIB4FS9zI4SRDuzfb9paGRlSfr7tagAAiAxhJI4Fl2iGDpV8Pru1AAAQqeAQ68cfS01NdmvpSkRhZMmSJRo2bJgyMjI0adIkffDBB50+d9myZZoyZYpyc3OVm5ur0tLSLp/vBcyLAAASwYgRUp8+0unT0l//aruazoUdRlauXKmysjItWLBAmzZt0oQJEzR16lQdPny4w+evX79et956q95++21t2LBBxcXF+trXvqYDBw70uPhYIYwAABKB3y+NH2+OvbxUE3YYWbRoke666y7NmjVLo0eP1tKlS5WZmanly5d3+PzXX39d9957r0pKSjRq1Ci99NJLCgQCWrduXY+LjxXCCAAgUcTDjpqwwkhjY6M2btyo0tLS1v9ASopKS0u1YcOGkP4b9fX1OnPmjPr37x9epS6qqDD3hBEAQLyLhyHW1HCefPToUTU3N6ugoKDd4wUFBdq+fXtI/40HHnhARUVF7QLNuRoaGtTQ0NDycU1NTThl9hidEQBAoggOsXo5jLi6m+app57SihUr9OabbyojI6PT5y1cuFA5OTktt+LiYtdqDATojAAAEse4cVJKilRVJVVW2q6mY2GFkby8PPn9flVVVbV7vKqqSoMGDerytc8++6yeeuop/eEPf9D44DRNJ+bNm6cTJ0603Pbt2xdOmT1SVWVOeub3S4MHu/ZpAQCIicxMaeRIc+zV7khYYSQtLU0TJ05sN3waHEadPHlyp697+umn9fjjj2vt2rW67LLLuv086enpys7ObndzS3CJZvBgKTWsRSwAALzJ60OsYS/TlJWVadmyZXrttddUXl6u2bNnq66uTrNmzZIk3XbbbZo3b17L83/yk5/o4Ycf1vLlyzVs2DBVVlaqsrJSJ0+ejN5XEUXMiwAAEo3Xh1jD/t1/+vTpOnLkiB555BFVVlaqpKREa9eubRlqraioUEpKa8Z54YUX1NjYqJtvvrndf2fBggX60Y9+1LPqY4AwAgBINAkXRiRpzpw5mjNnTod/tn79+nYf7927N5JPYQ1hBACQaII7anbskOrqzFlZvYRr05yDMAIASDSDBkkFBeYisJ98Yrua8xFGzkEYAQAkIi8PsRJG2nAcwggAIDF5eW6EMNJGdbVUW2uOhw61WgoAAFFFGIkTwa5Ifr7Uu7fdWgAAiKbgEOvHH0vNzXZrORdhpA2WaAAAiWrkSPOLdl2dtGuX7WraI4y0EQwjLNEAABKN32+uUyN5b6mGMNIGnREAQCLz6o4awkgbhBEAQCLz6hArYaQNwggAIJERRuIAYQQAkMjGjZN8PungQenwYdvVtCKMnFVfLx05Yo4JIwCARNS3r3TRRebYS3MjhJGzKirMfVaW1K+f1VIAAIgZLw6xEkbOartE4/PZrQUAgFjx4twIYeQs5kUAAMmAMOJhhBEAQDIInhZ++3bp1Cm7tQQRRs4ijAAAkkFRkZSXZ65P8+mntqsxCCNnEUYAAMnA5/PeUg1h5CzCCAAgWXhtRw1hRNKZM9KBA+aYMAIASHR0RjzowAEpEJDS0qSCAtvVAAAQW207I4GA1VIkEUYktS7RDB0qpfCOAAAS3CWXSOnpUm2ttGeP7WoII5KYFwEAJJfUVGnsWHPshaUawogIIwCA5OOlIVbCiAgjAIDk46UhVsKICCMAgORDGPEYwggAINmMH2/u9+2Tjh2zW0vSh5FAQKqoMMeEEQBAssjOloYPN8e250aSPowcPiw1NJgtvUOG2K4GAAD3eGWpJunDSHCJpqhI6tXLbi0AALjJKztqCCPMiwAAkhSdEY8gjAAAktWECeZ+2zYzsmALYYQwAgBIUsXFUm6u1NRkAoktqfY+tTcQRgAAycrnk/7mb6QTJ0wgsYUwQhgBACSx3/zGdgUs0xBGAACwLKnDSHW1VFNjjocOtVoKAABJK6nDSLArkpcn9eljtxYAAJIVYUQs0QAAYBNhRIQRAABsIoyIMAIAgE2EERFGAACwiTAiwggAADYl9UnPvvtd6aqrpHHjbFcCAEDySuow8p3v2K4AAAAk9TINAACwjzACAACsIowAAACrCCMAAMAqwggAALCKMAIAAKwijAAAAKsIIwAAwCrCCAAAsIowAgAArCKMAAAAqwgjAADAKsIIAACwKi6u2us4jiSppqbGciUAACBUwZ/bwZ/jnYmLMFJbWytJKi4utlwJAAAIV21trXJycjr9c5/TXVzxgEAgoIMHDyorK0s+n892OR2qqalRcXGx9u3bp+zsbNvlxCXew57jPewZ3r+e4z3suUR6Dx3HUW1trYqKipSS0vlkSFx0RlJSUjRkyBDbZYQkOzs77v/y2MZ72HO8hz3D+9dzvIc9lyjvYVcdkSAGWAEAgFWEEQAAYBVhJErS09O1YMECpaen2y4lbvEe9hzvYc/w/vUc72HPJeN7GBcDrAAAIHHRGQEAAFYRRgAAgFWEEQAAYBVhBAAAWEUYCcOSJUs0bNgwZWRkaNKkSfrggw+6fP5vfvMbjRo1ShkZGRo3bpzWrFnjUqXeFc57uGzZMk2ZMkW5ubnKzc1VaWlpt+95Mgj372HQihUr5PP5dOONN8a2QI8L9/2rrq7Wfffdp8LCQqWnp2vkyJFJ/2853Pdw8eLFuuSSS9S7d28VFxfr/vvv1+nTp12q1nveeecdTZs2TUVFRfL5fPqP//iPbl+zfv16ffnLX1Z6erouuugivfrqqzGv01UOQrJixQonLS3NWb58ufPpp586d911l9OvXz+nqqqqw+e/9957jt/vd55++mln27ZtzkMPPeT06tXL2bp1q8uVe0e47+GMGTOcJUuWOB999JFTXl7u3HHHHU5OTo6zf/9+lyv3jnDfw6A9e/Y4gwcPdqZMmeJ8/etfd6dYDwr3/WtoaHAuu+wy5/rrr3feffddZ8+ePc769eudzZs3u1y5d4T7Hr7++utOenq68/rrrzt79uxxfv/73zuFhYXO/fff73Ll3rFmzRpn/vz5zqpVqxxJzptvvtnl83fv3u1kZmY6ZWVlzrZt25znn3/e8fv9ztq1a90p2AWEkRBdfvnlzn333dfycXNzs1NUVOQsXLiww+ffcsstzg033NDusUmTJjnf/e53Y1qnl4X7Hp6rqanJycrKcl577bVYleh5kbyHTU1NzhVXXOG89NJLzu23357UYSTc9++FF15whg8f7jQ2NrpVoueF+x7ed999zle/+tV2j5WVlTlXXnllTOuMF6GEkR/84AfOmDFj2j02ffp0Z+rUqTGszF0s04SgsbFRGzduVGlpactjKSkpKi0t1YYNGzp8zYYNG9o9X5KmTp3a6fMTXSTv4bnq6+t15swZ9e/fP1Zlelqk7+Fjjz2m/Px8fec733GjTM+K5P373e9+p8mTJ+u+++5TQUGBxo4dqyeffFLNzc1ule0pkbyHV1xxhTZu3NiylLN7926tWbNG119/vSs1J4Jk+HkSFxfKs+3o0aNqbm5WQUFBu8cLCgq0ffv2Dl9TWVnZ4fMrKytjVqeXRfIenuuBBx5QUVHRef8ok0Uk7+G7776rl19+WZs3b3ahQm+L5P3bvXu3/vjHP+qb3/ym1qxZo507d+ree+/VmTNntGDBAjfK9pRI3sMZM2bo6NGjuuqqq+Q4jpqamnTPPffohz/8oRslJ4TOfp7U1NTo1KlT6t27t6XKoofOCOLCU089pRUrVujNN99URkaG7XLiQm1trWbOnKlly5YpLy/PdjlxKRAIKD8/Xy+++KImTpyo6dOna/78+Vq6dKnt0uLG+vXr9eSTT+oXv/iFNm3apFWrVmn16tV6/PHHbZcGD6EzEoK8vDz5/X5VVVW1e7yqqkqDBg3q8DWDBg0K6/mJLpL3MOjZZ5/VU089pf/5n//R+PHjY1mmp4X7Hu7atUt79+7VtGnTWh4LBAKSpNTUVO3YsUMjRoyIbdEeEsnfwcLCQvXq1Ut+v7/lsUsvvVSVlZVqbGxUWlpaTGv2mkjew4cfflgzZ87UnXfeKUkaN26c6urqdPfdd2v+/PlKSeF34u509vMkOzs7IboiEp2RkKSlpWnixIlat25dy2OBQEDr1q3T5MmTO3zN5MmT2z1fkt56661On5/oInkPJenpp5/W448/rrVr1+qyyy5zo1TPCvc9HDVqlLZu3arNmze33P7+7/9e1157rTZv3qzi4mI3y7cukr+DV155pXbu3NkS4iTps88+U2FhYdIFESmy97C+vv68wBEMdw6XRgtJUvw8sT1BGy9WrFjhpKenO6+++qqzbds25+6773b69evnVFZWOo7jODNnznQefPDBlue/9957TmpqqvPss8865eXlzoIFC9jaG+Z7+NRTTzlpaWnOG2+84Rw6dKjlVltba+tLsC7c9/Bcyb6bJtz3r6KiwsnKynLmzJnj7Nixw/mv//ovJz8/33niiSdsfQnWhfseLliwwMnKynL+7d/+zdm9e7fzhz/8wRkxYoRzyy232PoSrKutrXU++ugj56OPPnIkOYsWLXI++ugj5/PPP3ccx3EefPBBZ+bMmS3PD27t/ed//menvLzcWbJkCVt7k9nzzz/vDB061ElLS3Muv/xy5y9/+UvLn1199dXO7bff3u75v/71r52RI0c6aWlpzpgxY5zVq1e7XLH3hPMeXnDBBY6k824LFixwv3APCffvYVvJHkYcJ/z37/3333cmTZrkpKenO8OHD3d+/OMfO01NTS5X7S3hvIdnzpxxfvSjHzkjRoxwMjIynOLiYufee+91vvjiC/cL94i33367w+9twfft9ttvd66++urzXlNSUuKkpaU5w4cPd1555RXX644ln+PQJwMAAPYwMwIAAKwijAAAAKsIIwAAwCrCCAAAsIowAgAArCKMAAAAqwgjAADAKsIIAACwijACAACsIowAAACrCCMAAMAqwggAALDq/wPPnKEi9WXKGAAAAABJRU5ErkJggg==", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "ax = plt.gca()\n", + "scene, _ = next(scenes)\n", + "scene.plot(ax)\n", + "\n", + "for _, _, path, _ in scene.all_valid_paths(\n", + " min_order=order, max_order=order, approx=False\n", + "):\n", + " path.plot(ax)\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "id": "ac336913-6a59-4eda-9ddc-621fc12b9a37", + "metadata": {}, + "outputs": [], + "source": [ + "key, key_model, key_train, key_samples = jax.random.split(key, 4)\n", + "key_train_samples, key_test_samples = jax.random.split(key_samples, 2)\n", + "\n", + "train_samples = samples(order=order, key=key_train_samples)\n", + "test_samples = samples(order=order, key=key_test_samples)" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "id": "ec513edd-a2d1-475e-91b7-81430bf7ab8b", + "metadata": {}, + "outputs": [], + "source": [ + "@jax.jit\n", + "@jaxtyped(typechecker=typechecker)\n", + "def row_in_matrix(\n", + " row: Shaped[Array, \" num_cols\"], matrix: Shaped[Array, \"num_rows num_cols\"]\n", + ") -> Bool[Array, \" \"]:\n", + " bool_ = jax.vmap(jnp.equal, in_axes=(None, 0))(row, matrix)\n", + " return jnp.any(jnp.all(bool_, axis=1), axis=0)\n", + "\n", + "\n", + "@jax.jit\n", + "@jaxtyped(typechecker=typechecker)\n", + "def rows_in_matrix(\n", + " rows: Shaped[Array, \"batch num_cols\"], matrix: Shaped[Array, \"num_rows num_cols\"]\n", + ") -> Bool[Array, \" batch\"]:\n", + " return jax.vmap(row_in_matrix, in_axes=(0, None))(rows, matrix)\n", + "\n", + "\n", + "@jax.jit\n", + "@jaxtyped(typechecker=typechecker)\n", + "def reward(\n", + " pred_path_candidates: Int[Array, \"batch order\"],\n", + " true_path_candidates: Int[Array, \"num_paths order\"],\n", + ") -> Float[Array, \" \"]:\n", + " # 1. Check if predicted path candidates are in the set of true path candidates\n", + " pred_in_true = rows_in_matrix(pred_path_candidates, true_path_candidates)\n", + " valid_count = jnp.sum(pred_in_true)\n", + " invalid_count = jnp.sum(~pred_in_true)\n", + "\n", + " return jnp.where(true_path_candidates.size > 0, valid_count - invalid_count, 0.0)" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "id": "75329d56-d831-4985-a0bb-628d0f52b0ca", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "2.0\n" + ] + } + ], + "source": [ + "# Example to show how the reward function works\n", + "pred_path_candidates = jnp.array(\n", + " [[0, 1], [2, 3], [1, 2], [2, 3], [0, 1], [4, 5]], dtype=jnp.int32\n", + ")\n", + "\n", + "confidences = jnp.array([1.0, 1.0, 0.5, 1.0, 0.0, 0.0])\n", + "\n", + "true_path_candidates = jnp.array([[0, 1], [2, 3]], dtype=jnp.int32)\n", + "\n", + "with jax.disable_jit():\n", + " r = reward(pred_path_candidates, true_path_candidates)\n", + " print(r)" + ] + }, + { + "cell_type": "markdown", + "id": "1f48cbad-fbad-456a-aff0-8ed66c850d1b", + "metadata": {}, + "source": [ + "# Model definition" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "id": "c985f39b-501f-4c4a-abdf-474c1568ad8d", + "metadata": {}, + "outputs": [], + "source": [ + "class Model(eqx.Module):\n", + " # Hyperparameters\n", + " order: int = eqx.field(static=True)\n", + " \"\"\"The order of the path(s).\"\"\"\n", + " hidden_size: int = eqx.field(static=True)\n", + " \"\"\"The hidden size of the GRU cell.\"\"\"\n", + " # Layers\n", + " wall_2_embeddings: eqx.nn.MLP\n", + " \"\"\"MLP that is applied to each object in parallel and returns embeddings.\"\"\"\n", + " tx_rx_wall_walls_embeddings_and_state_2_prob: eqx.nn.MLP\n", + " \"\"\"MLP that maps each possible choice to some probability [0, 1].\"\"\"\n", + " cell: eqx.nn.GRUCell\n", + " \"\"\"Recurrent cell.\"\"\"\n", + "\n", + " def __init__(\n", + " self,\n", + " # Hyperparameters\n", + " order: int = 1,\n", + " tx_size: int = 2,\n", + " rx_size: int = 2,\n", + " wall_size: int = 4,\n", + " wall_num_embeddings: int = 100,\n", + " hidden_size: int = 100,\n", + " *,\n", + " key: PRNGKeyArray,\n", + " ):\n", + " if order < 0:\n", + " raise ValueError(f\"Order must be greater or equal to 0, got {order}.\")\n", + "\n", + " key1, key2, key3 = jax.random.split(key, 3)\n", + "\n", + " # Hyperparameters\n", + " self.order = order\n", + " self.hidden_size = hidden_size\n", + "\n", + " # Layers\n", + " self.wall_2_embeddings = eqx.nn.MLP(\n", + " in_size=wall_size,\n", + " out_size=wall_num_embeddings,\n", + " width_size=500,\n", + " depth=1,\n", + " key=key1,\n", + " )\n", + " self.tx_rx_wall_walls_embeddings_and_state_2_prob = eqx.nn.MLP(\n", + " in_size=tx_size + rx_size + wall_size + wall_num_embeddings + hidden_size,\n", + " out_size=\"scalar\",\n", + " width_size=500,\n", + " depth=1,\n", + " final_activation=jax.nn.relu,\n", + " key=key2,\n", + " )\n", + " self.cell = eqx.nn.GRUCell(\n", + " input_size=wall_num_embeddings,\n", + " hidden_size=hidden_size,\n", + " key=key3,\n", + " )\n", + "\n", + " @eqx.filter_jit\n", + " @jaxtyped(typechecker=typechecker)\n", + " def __call__(\n", + " self,\n", + " xys: Float[Array, \"two_plus_num_walls_times_two 2\"],\n", + " *,\n", + " key: Optional[PRNGKeyArray] = None,\n", + " ) -> Int[Array, \"{self.order}\"]:\n", + " assert xys.shape[0] >= 2, \"Scene must at least have two points: tx and rx.\"\n", + "\n", + " # Data normalization\n", + " eps = 1e-5\n", + " mean = jnp.mean(xys, axis=0, keepdims=True)\n", + " std = jnp.std(xys, axis=0, keepdims=True)\n", + "\n", + " xys = (xys - mean) / (std + eps)\n", + "\n", + " # [2]\n", + " tx = xys[0, :]\n", + " rx = xys[1, :]\n", + "\n", + " # [num_walls, 2x2]\n", + " walls = xys[2:, :].reshape(-1, 4)\n", + " num_walls = walls.shape[0]\n", + "\n", + " #jax.debug.print(\"num_walls = {num_walls}\", num_walls=num_walls)\n", + "\n", + " # Handle empty scene\n", + " if walls.size == 0:\n", + " if self.order == 0:\n", + " return (\n", + " jnp.empty(0, dtype=jnp.int32),\n", + " jnp.array(1.0),\n", + " prev_state,\n", + " ) # One path candidate of size 0, but it does not make sense to use this model for order < 1\n", + " else:\n", + " return (\n", + " jnp.empty(self.order, dtype=jnp.int32),\n", + " jnp.array(0.0),\n", + " prev_state,\n", + " ) # Zero path candidate of size order, so we return a 0 confidence\n", + "\n", + " walls_embeddings = jax.vmap(self.wall_2_embeddings)(walls)\n", + " sum_walls_embeddings = jnp.sum(walls_embeddings, axis=0)\n", + "\n", + " Carry = tuple[Float[Array, \" hidden_size\"], Int[Array, \" \"]]\n", + " Index = Int[Array, \" \"]\n", + "\n", + " @jaxtyped(typechecker=typechecker)\n", + " def scan_fn(carry: Carry, key: PRNGKeyArray) -> tuple[Carry, Index]:\n", + " state, prev_index = carry\n", + " key_choice, key_dropout = jax.random.split(key, 2)\n", + " probs = jax.vmap(\n", + " lambda wall: self.tx_rx_wall_walls_embeddings_and_state_2_prob(\n", + " jnp.concatenate((tx, rx, wall, sum_walls_embeddings, state))\n", + " )\n", + " )(walls)\n", + " #jax.debug.print(\"p = {probs}\", probs=probs)\n", + " probs = jnp.where(\n", + " prev_index < num_walls,\n", + " probs.at[prev_index].set(\n", + " 0.0\n", + " ), # We avoid selecting the same index twice in a row\n", + " probs,\n", + " )\n", + " #probs = self.dropout(probs, key=key_dropout)\n", + " #jax.debug.print(\"num_walls = {num_walls}, p = {probs}\", num_walls=num_walls, probs=probs)\n", + " index = jax.random.choice(key=key_choice, a=num_walls, p=probs)\n", + "\n", + " state = self.cell(walls_embeddings[index, :], state)\n", + " #jax.debug.print(\"a. returning index = {index}\", index=index)\n", + " index = index.astype(jnp.int32)\n", + "\n", + " #jax.debug.print(\"returning index = {index}\", index=index)\n", + "\n", + " return (state, index), index\n", + "\n", + " init_state = jnp.zeros(self.hidden_size)\n", + "\n", + " prev_index = jnp.array(num_walls, dtype=jnp.int32)\n", + " init = (init_state, prev_index)\n", + "\n", + " _, path_candidate = jax.lax.scan(\n", + " scan_fn, init, xs=jax.random.split(key, self.order)\n", + " )\n", + "\n", + " return path_candidate" + ] + }, + { + "cell_type": "markdown", + "id": "7470ffd2-f9c3-4e68-a535-c3848af1a60f", + "metadata": {}, + "source": [ + "## Loss function definition" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "id": "7be7b365-8559-4413-8485-a6126cebee45", + "metadata": {}, + "outputs": [], + "source": [ + "@jaxtyped(typechecker=typechecker)\n", + "def loss(\n", + " model: Model,\n", + " xys: Float[Array, \"two_plus_num_walls_times_two 2\"],\n", + " true_path_candidates: Int[Array, \"num_paths order\"],\n", + " batch: int = 10,\n", + " plot: bool = False,\n", + " *,\n", + " key: PRNGKeyArray,\n", + ") -> Float[Array, \" \"]:\n", + " \"\"\"\n", + " Compute the loss of the model on a specific input scene.\n", + " \"\"\"\n", + "\n", + " @jaxtyped(typechecker=typechecker)\n", + " def scan_fn(_init: tuple, key: PRNGKeyArray) -> tuple[tuple, Int[Array, \" order\"]]:\n", + " pred_path_candidate = model(xys, key=key)\n", + "\n", + " return (), pred_path_candidate\n", + "\n", + " _, pred_path_candidates = jax.lax.scan(scan_fn, (), xs=jax.random.split(key, batch))\n", + "\n", + " if plot:\n", + " order = model.order\n", + " tx = Point(xy=xys[0, :])\n", + " rx = Point(xy=xys[1, :])\n", + " walls = xys[2:].reshape(-1, 2, 2)\n", + " scene = Scene(\n", + " transmitters={\"tx\": tx},\n", + " receivers={\"rx\": rx},\n", + " objects=[Wall(xys=wall) for wall in walls],\n", + " )\n", + " ax = plt.gca()\n", + " scene.plot(ax)\n", + "\n", + " for _, _, path, _ in scene.all_valid_paths(\n", + " min_order=order, max_order=order, approx=False\n", + " ):\n", + " path.plot(ax, color=\"orange\")\n", + "\n", + " if len(walls) > 0:\n", + " print(pred_path_candidates)\n", + " for pred_path_candidate in jnp.unique(pred_path_candidates, axis=0):\n", + " objects = [scene.objects[i] for i in pred_path_candidate]\n", + " ImagePath.from_tx_objects_rx(tx, objects, rx).plot(\n", + " ax, linestyle=\"--\", alpha=0.5, color=\"red\"\n", + " )\n", + "\n", + " return - reward(pred_path_candidates, true_path_candidates)" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "id": "6bf67f8a-b55a-4449-bdce-6a1fd6bf25fb", + "metadata": {}, + "outputs": [], + "source": [ + "training_model = Model(order=order, key=key_model)\n", + "optim = optax.adam(learning_rate=3e-4)" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "id": "0b7cb03a-b637-4fc5-bd98-129c48844f7f", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[[3 2]\n", + " [0 3]\n", + " [1 4]\n", + " [2 4]\n", + " [3 1]\n", + " [0 3]\n", + " [3 2]\n", + " [0 1]\n", + " [1 3]\n", + " [1 4]]\n" + ] + }, + { + "data": { + "text/plain": [ + "Array(10., dtype=float32, weak_type=True)" + ] + }, + "execution_count": 11, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": "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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "loss(training_model, *next(train_samples), plot=True, key=key) # Untrained model" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "id": "930a3ef7-345b-4e47-993e-64944701a597", + "metadata": {}, + "outputs": [], + "source": [ + "def train(\n", + " model: Model\n", + "ax.autoscale(False, axis=\"x\")\n", + "ax.autoscale(False, axis=\"y\"),\n", + " train_samples: Iterator,\n", + " test_samples: Iterator,\n", + " optim: optax.GradientTransformation,\n", + " steps: int = 100_000,\n", + " print_every: int = 1_000,\n", + " num_test_samples: int = 100,\n", + " *,\n", + " key: PRNGKeyArray,\n", + ") -> tuple[Model, Float[Array, \"{steps}\"]]:\n", + " opt_state = optim.init(eqx.filter(model, eqx.is_array))\n", + "\n", + " @eqx.filter_jit\n", + " def make_step(\n", + " model: Model,\n", + " opt_state: optax.OptState,\n", + " xys: Float[Array, \"2+num_walls*2 2\"],\n", + " true_path_candidates: Float[Array, \"num_paths order\"],\n", + " *,\n", + " key: PRNGKeyArray,\n", + " ):\n", + " loss_value, grads = eqx.filter_value_and_grad(loss)(\n", + " model, xys, true_path_candidates, key=key\n", + " )\n", + " updates, opt_state = optim.update(grads, opt_state, model)\n", + " model = eqx.apply_updates(model, updates)\n", + " return model, opt_state, loss_value\n", + "\n", + " test_losses = []\n", + "\n", + " jitted_loss = eqx.filter_jit(loss)\n", + "\n", + " with trange(steps, desc=\"\", unit=\" steps\", leave=True) as bar:\n", + " for step, (x_train, y_train) in zip(bar, train_samples):\n", + " key, key_step = jax.random.split(key, 2)\n", + "\n", + " model, opt_state, train_loss = make_step(\n", + " model, opt_state, x_train, y_train, key=key_step\n", + " )\n", + " if (step % print_every) == 0 or (step == steps - 1):\n", + " test_loss = 0\n", + " for _, (x_test, y_test) in zip(\n", + " range(num_test_samples),\n", + " test_samples,\n", + " ):\n", + " key, key_test = jax.random.split(key, 2)\n", + " test_loss += jitted_loss(model, x_test, y_test, key=key_test)\n", + " test_loss /= num_test_samples\n", + "\n", + " bar.set_description(\n", + " f\"train_loss = {float(train_loss):.1f}, test_loss = {float(test_loss):.1f}\"\n", + " )\n", + " test_losses.append(test_loss)\n", + "\n", + " return model, jnp.array(test_losses)" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "id": "0c04eb13-9336-49d5-aecb-8588b265f13e", + "metadata": {}, + "outputs": [ + { + "data": { + "application/vnd.jupyter.widget-view+json": { + "model_id": "91561127b6ad4308a17a29ebbb605a96", + "version_major": 2, + "version_minor": 0 + }, + "text/plain": [ + " 0%| | 0/100000 [00:00]" + ] + }, + "execution_count": 13, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": "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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "training_model, losses = train(\n", + " training_model, train_samples, test_samples, optim, key=key_train\n", + ")\n", + "inference_model = eqx.nn.inference_mode(training_model)\n", + "\n", + "plt.plot(losses)" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "id": "f6ef95aa-37cc-48a4-b098-33a3c202c082", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[[4 5]\n", + " [0 2]\n", + " [6 5]\n", + " [3 5]\n", + " [0 3]\n", + " [2 5]\n", + " [5 1]\n", + " [0 2]\n", + " [2 3]\n", + " [0 3]]\n" + ] + }, + { + "data": { + "text/plain": [ + "Array(-0., dtype=float32, weak_type=True)" + ] + }, + "execution_count": 14, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": "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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "key, key_test_inference = jax.random.split(key, 2)\n", + "\n", + "loss(inference_model, *next(test_samples), plot=True, key=key_test_inference)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "f340758e-d9e8-47fc-bad8-c30370c0bb0e", + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.11.8" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/docs/source/Untitled.ipynb b/docs/source/Untitled.ipynb new file mode 100644 index 0000000..863c1e6 --- /dev/null +++ b/docs/source/Untitled.ipynb @@ -0,0 +1,131 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "id": "7ba6bab9-2eab-4493-a57a-c2583c41c953", + "metadata": {}, + "outputs": [], + "source": [ + "import jax\n", + "import jax.numpy as jnp" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "id": "2e23ef34-c527-4bee-b957-28930158418b", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Array(1, dtype=int32)" + ] + }, + "execution_count": 6, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "key = jax.random.PRNGKey(1234)" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "id": "b6b8555e-9cd6-4498-8041-e5cb3a74efd5", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(Array([1, 2, 3], dtype=int32), Array([5002, 2482, 2516], dtype=int32))" + ] + }, + "execution_count": 19, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "key, key_cat = jax.random.split(key, 2)\n", + "logits = jnp.array([0.0, 2.0, 1.0, 1.0])\n", + "jnp.unique(jax.random.categorical(key_cat, jnp.log(logits), shape=(10000,)), return_counts=True)" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "id": "346b2257-aa9c-4f54-aea1-422ec7bcfd6f", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(Array([1, 2, 3], dtype=int32), Array([5002, 2482, 2516], dtype=int32))" + ] + }, + "execution_count": 21, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "jnp.unique(jax.random.categorical(key_cat, jnp.log(logits), shape=(10000,)), return_counts=True)" + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "id": "f8c51678-2404-43d7-93af-30362863a438", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Array([[0, 1, 2, 3, 4],\n", + " [0, 1, 2, 3, 4]], dtype=int32)" + ] + }, + "execution_count": 28, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "jnp.tile(jnp.arange(5), (2, 1))" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "4382fa4a-04c2-4ae4-aace-c8728a4acd11", + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.11.8" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +}