{
        "cells": [
                {
                        "cell_type": "markdown",
                        "id": "684dd535",
                        "metadata": {},
                        "source": [
                                "# All"
                        ]
                },
                {
                        "cell_type": "code",
                        "execution_count": 2,
                        "id": "dced9291",
                        "metadata": {},
                        "outputs": [],
                        "source": [
                                "from pyfeyn2.feynmandiagram import FeynmanDiagram, Leg, Propagator, Vertex\n",
                                "from pyfeyn2.render.all import AllRender\n",
                                "from pyfeyn2.render.latex.dot import feynman_adjust_points\n",
                                "import pyfeyn2\n",
                                "print(pyfeyn2.__version__)"
                        ]
                },
                {
                        "cell_type": "code",
                        "execution_count": 3,
                        "id": "9b5c49c4",
                        "metadata": {},
                        "outputs": [],
                        "source": [
                                "fd = FeynmanDiagram()\n",
                                "v1 = Vertex(\"v1\").with_xy(-1, 0)\n",
                                "v2 = Vertex(\"v2\").with_xy(1, 0)\n",
                                "p1 = Propagator(\"p1\").connect(v1, v2).with_type(\"gluon\")\n",
                                "l1 = Leg(\"l1\").with_target(v1).with_xy(-2, 1).with_type(\"gluon\").with_incoming()\n",
                                "l2 = Leg(\"l2\").with_target(v1).with_xy(-2, -1).with_type(\"gluon\").with_incoming()\n",
                                "l3 = Leg(\"l3\").with_target(v2).with_xy(2, 1).with_type(\"gluon\").with_outgoing()\n",
                                "l4 = Leg(\"l4\").with_target(v2).with_xy(2, -1).with_type(\"gluon\").with_outgoing()\n",
                                "p1.with_source(v1)\n",
                                "p1.with_target(v2)\n",
                                "fd.propagators.append(p1)\n",
                                "fd.vertices.extend([v1, v2])\n",
                                "fd.legs.extend([l1, l2, l3, l4])"
                        ]
                },
                {
                        "cell_type": "code",
                        "execution_count": 4,
                        "id": "08f1b7ae",
                        "metadata": {},
                        "outputs": [
                                {
                                        "data": {
                                                "image/png": 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\n",
                                                "text/plain": [
                                                        "<wand.image.Image: f748173 'PDF' (309x337)>"
                                                ]
                                        },
                                        "metadata": {},
                                        "output_type": "display_data"
                                }
                        ],
                        "source": [
                                "ar = AllRender(fd)\n",
                                "ar.render(subfigure=True)"
                        ]
                },
                {
                        "cell_type": "code",
                        "execution_count": 5,
                        "id": "57a7852b",
                        "metadata": {
                                "scrolled": false
                        },
                        "outputs": [
                                {
                                        "name": "stdout",
                                        "output_type": "stream",
                                        "text": [
                                                "pyx:\n"
                                        ]
                                },
                                {
                                        "data": {
                                                "image/png": 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\n",
                                                "text/plain": [
                                                        "<wand.image.Image: b16a0d6 'PDF' (320x160)>"
                                                ]
                                        },
                                        "metadata": {},
                                        "output_type": "display_data"
                                },
                                {
                                        "name": "stdout",
                                        "output_type": "stream",
                                        "text": [
                                                "feynmp:\n"
                                        ]
                                },
                                {
                                        "data": {
                                                "image/png": 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\n",
                                                "text/plain": [
                                                        "<wand.image.Image: 6a2fb3b 'PDF' (180x111)>"
                                                ]
                                        },
                                        "metadata": {},
                                        "output_type": "display_data"
                                },
                                {
                                        "name": "stdout",
                                        "output_type": "stream",
                                        "text": [
                                                "tikz:\n"
                                        ]
                                },
                                {
                                        "data": {
                                                "image/png": 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\n",
                                                "text/plain": [
                                                        "<wand.image.Image: a7cc8c2 'PDF' (160x80)>"
                                                ]
                                        },
                                        "metadata": {},
                                        "output_type": "display_data"
                                },
                                {
                                        "name": "stdout",
                                        "output_type": "stream",
                                        "text": [
                                                "dot:\n"
                                        ]
                                },
                                {
                                        "data": {
                                                "image/png": 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\n",
                                                "text/plain": [
                                                        "<wand.image.Image: 324551e 'PDF' (476x251)>"
                                                ]
                                        },
                                        "metadata": {},
                                        "output_type": "display_data"
                                },
                                {
                                        "name": "stdout",
                                        "output_type": "stream",
                                        "text": [
                                                "feynman:\n"
                                        ]
                                },
                                {
                                        "data": {
                                                "image/png": 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zZ23evNlmW/bs2TVixAi99tpr8vDwsMd0kqQFCxaoU6dOhlr+/Pm1ZcsWlStXzm7zWAsPD9fLL7+syMhIm20lSpRQaGioypYt67D5AQAAADyYgwcPqkWLFjYX7qT/XdD89ttvVaNGDYfNf+DAAdWtW1eXLl0y1BcsWKAOHTrYbZ6kpCR9+eWX+vDDD3Xz5k2b7fXq1dMvv/yiwoUL221OOIcHvrL/r8KFC2vdunV69913bbbdvHlTb7/9tqpVq6bFixfb5db+AwcOqFevXoaah4eHli5d6rCgf+LECb344ouqWbNmmkG/du3aCgsLI+gDAAAATq5cuXIKCwtT7dq1bbbt3LlTNWvW1Isvvuiw1fLLly+vZcuW2VwM7dmzpw4ePPjAx09JSdHixYtVtWpVvfPOO2kG/WHDhmndunUE/SzKbmFfktzd3TV27FitXLlSvr6+Ntv37dun9u3bq1q1alqwYIFSUlIyNE9iYqI6d+5s8yaAr7/+Os1/rA/q2LFj6tevn5544gnNmDHD5ssKV1dXffDBB9q4caPD39MJAAAAwD78/Py0ceNGvf/++zaLalssFs2YMUNPPPGE+vXrp2PHjtl9/tq1a2vChAmG2vXr1/Xcc88pMTExQ8dMSUnRb7/9pmrVqql9+/bav3+/zT6+vr5auXKlxowZI3d39wzNA+dnt9v4rV26dEnDhg3TlClT7nglv2zZsurTp4969OihggULpvvYw4cP15gxYwy1Xr16acaMGXZb+T45OVkrVqzQ5MmTtXLlyjt+MVGuXDlNnjxZ9evXt8u8AAAAAB6+TZs2qX///ne8qu7q6qqnn35a/fv3V4sWLeTm5maXeS0Wi1544QX9+OOPhvrw4cP10Ucfpfs4586d06xZszRt2jSbt5T9y8XFRf3799fYsWOVN2/eB+obzs9hYf9fO3bs0IABA/Tnn3/ecR93d3e1adNG3bp101NPPWXzOr//ioiIUK1atQyLZlSuXFk7duxQtmzZHqjX5ORkhYWFaeHChZo/f75OnTp1x31z5MihESNGaPDgwfL09HygeQEAAACYLzExURMmTNCoUaPu+iq8okWL6tlnn1X79u1Vq1atBw7+t27dUkhIiPbs2ZNac3Nz0/bt2++6aF5cXJzWrFmjOXPmaOnSpXddzb9atWqaNGmSQkJCHqhXZB4OD/vS/0L0r7/+qtGjR+vAgQN33dfT01MNGzZUy5Yt1bhxY5UrVy71H09iYqKqVatmuBXF3d1dERERqlq16n33ZbFYdOzYMW3atEkbN27UihUr7vl+TW9vb/Xr109vv/02z7YAAAAAWdCZM2f0ySefaMqUKYqPj7/rvoUKFVKLFi3UoEED1a9fX48//niG7jb+888/VaNGDUNgr1Chgv7888/Ui4vJyck6ePCg1q5dq99//10bN2685+3+5cuX1/vvv69nn33WbncjIHN4KGH/X8nJyVqwYIE++ugj7d27N10/kzNnTgUGBqpGjRpavXq1du/ebdg+atQoffDBB3c9RkpKii5evKiTJ09q//792rdvn/bv36/IyEidPn06XX34+PioT58+Gjp0qPz9/dP1MwAAAAAyr5iYGH322WeaNm2a4uLi0vUzRYoUUVBQkCpUqKCKFSuqQoUKKlasmPLnzy9X17svmTZq1CiNHDnSUKtataqaNGmi8PBwRUVF2axbdieVKlXSBx98oI4dO95zXmRNDzXs/8tisWjTpk2aPn26fvvtN926dSvDxypTpozy5csnHx8feXt7KykpSUlJSUpMTNSNGzd09uxZnT179q63tNxNUFCQ+vfvr+eff/6ujxcAAAAAyJquX7+un3/+WZMnT07zrVzp4e7urkKFCqlQoULKkSOHPD095eHhIQ8PD8XHxysuLk6XLl3S4cOHM9xntmzZ1KlTJ/Xp00f16tWz23pmyJxMCfv/deXKFf3888/67bfftGnTpgyHcnuqVKmSOnTooA4dOqhKlSpmtwMAAADASezevVsLFy7UwoUL0323siO5u7urfv366tSpk7p06aLcuXOb3RKchOlh/7+uXr2q1atXa/ny5Vq7dq1Onjz5UOb19fVV/fr1Va9ePbVs2VKlS5d+KPMCAAAAyLz++usvLV++XJs3b9amTZt0/vz5hzJvsWLF1LhxY7Vq1UpPPfWUcuXK9VDmRebiVGHf2tmzZxUREaHWrVvb7ZiPP/546vMzFStWVI0aNVS2bFlucQEAAACQYRaLRYcOHVJ4eLj27duXuk7YsWPH7DbHsmXLFBwcrEKFCtntmMi6nDrsS9LJkydVqlQpJSUlpdZeeOEF9evXTxcvXlRcXJzi4uJ07do1JSQkyMPDQ56envL09JSXl5cKFiwoPz8/+fn5qVChQvLw8DDxbwMAAADgUZKUlKSzZ88qNjZWsbGxOnfunBISEpSYmKjExEQlJSXJy8tLuXLlko+Pj3x8fJQ/f35NmTJFP/zwQ+pxPDw89Pfff6to0aIm/m2QmTh92H/ttdc0fvz41LG3t7dOnDihggULmtcUAAAAADjQ2bNnVaJECcOr/1577TV9+eWXJnaFzMSp38Fw5coVTZkyxVB78cUXCfoAAAAAsrRChQqpd+/ehtqUKVN05coVcxpCpuPUYf/XX3/VzZs3U8dubm568803TewIAAAAAB6ON998U25ubqnjGzduaN68eSZ2hMzEqcP+zJkzDeM2bdqoRIkSpvQCAAAAAA/T448/rjZt2hhq1hkJuBOnDfuHDh3S9u3bDbUXXnjBpG4AAAAA4OHr1auXYRwWFqbDhw+b0wwyFacN+7NmzTKMCxYsqObNm5vUDQAAAAA8fC1atJCvr6+hZp2VgLQ4bdj//fffDeOuXbvy2jwAAAAAjxQPDw917drVULPOSkBanDLsnzlzRtHR0YZax44dTeoGAAAAAMxjnYV2796tM2fOmNQNMgunDPurVq0yjHPnzq2QkBCTugEAAAAA89SsWVO5c+c21P744w+TukFm4ZRhPzQ01DBu0qSJ3N3dTeoGAAAAAMzj7u6uxo0bG2rWmQmw5pRhPywszDBu1qyZSZ0AAAAAgPmsM5F1ZgKsOV3Yv3jxok6ePGmo1apVy6RuAAAAAMB81pnon3/+0aVLl0zqBpmB04X93bt3G8ZeXl4qW7asSd0AAAAAgPnKlSsnT09PQ806OwH/5XRhf9euXYZxpUqVeOUeAAAAgEeah4eHKlWqZKhZZyfgv5wu7B88eNAwrlKlikmdAAAAAIDzsM5GBw4cMKkTZAZOF/ZjYmIM4xIlSpjTCAAAAAA4EetsFBsba04jyBScLuyfPXvWMPbz8zOpEwAAAABwHtbZyDo7Af/ldGHf+tspwj4AAAAA2GYjruzjbpwu7J87d84wLliwoEmdAAAAAIDzKFSokGFsnZ2A/3K6sJ+cnGwYe3l5mdQJAAAAADgP61fvWWcn4L+cLuwDAAAAAIAH43Rh38XFxewWAAAAAMDpkZ1wN04X9q1xawoAAAAASCkpKWa3gEzE6cJ+3rx5DeMLFy6Y1AkAAAAAOI/z588bxtbZCfgvpwv7hQsXNozPnDljUicAAAAA4Dyss5F1dgL+y+nDfkxMjEmdAAAAAIDzsM5GhH3cjdOH/X/++cekTgAAAADAeVhnI39/f5M6QWbgdGG/dOnShvGff/5pUicAAAAA4Dyss5F1dgL+y+nCfvXq1Q3jXbt2KTEx0aRuAAAAAMB8iYmJ2r17t6EWHBxsUjfIDJwu7AcGBhrGiYmJ2rt3r0ndAAAAAID59uzZY3MR1Do7Af/ldGE/b968NrejbN682aRuAAAAAMB81pnoiSeeUJ48ecxpBpmC04V9Sapbt65hvHjxYnMaAQAAAAAnYJ2J6tSpY04jyDScMuy3bdvWMN60aZMuXrxoUjcAAAAAYJ4LFy7YXNlv166dOc0g03A3u4G0NG3aVNmyZdOtW7ckSSkpKVq2bJl69eplbmMmslgsOn36tCIiIrR//37FxMQoNjZWiYmJ8vLyko+Pj8qXL6+qVauqXr168vb2NrtlAAAA4I7i4+O1efNm7dq1SwcOHFBcXJwSEhLk6ekpPz8/+fv7q0KFCgoODlaRIkXk4uJidsumWbZsmVJSUlLH2bNnV9OmTU3sCJmBU4b97Nmzq1mzZoZbVaZNm/bIhf2bN2/qjz/+0JIlS7Rq1SrFxMSk6+dy586t559/Xu+8846KFy/u4C4BAACA9Dtx4oQ+/vhj/fzzz7p69Wq6fsbf31/NmjVT27Zt1bRpU2XPnt3BXTqXadOmGcbNmjVTtmzZTOoGmYWLxWKxmN1EWubNm6fnnnvOUIuIiLB5NV9WY7FYtGPHDk2aNEnz589PvbshI3LkyKEvvvhC/fv3t2OHAAAAQMZMnjxZb7zxhm7cuJHhY2TLlk3PPPOMBgwYoJCQkCx/xT8iIkI1atQw1H799Vc9++yzJnWEzMJpw35SUpIef/xxnT59OrXWrVs3zZ4928SuHCc5OVm//PKLPvvsM5v3Zz6ozz77TG+++aZdjwkAAADcj88++0xvvfWWXY9ZpUoVDR06VJ07d5abm5tdj+0sunXrprlz56aOixQpomPHjsnDw8PErpAZOG3Yl6Rx48Zp2LBhqWMPDw8dPnxYJUqUMK8pO0tOTtb8+fM1atQoHTx48J77586dW0FBQXr88cfl7++vbNmyKSEhQTExMdq1a5d27typtP4vXbt2rRo1auSIvwIAAABwV+vWrVPjxo1t6i4uLqpevbqqVq0qf39/eXl56datW4qJidGxY8cUGRmZrlv9y5UrpxEjRujZZ5+Vq6tTrkGeIceOHVPZsmWVlJSUWhs3bpzeeecdE7tCZuHUYf/ixYsqWrSo4uPjU2vPPvusfv31VxO7sp8dO3bo5ZdfVlRU1B33cXNzU/369dW2bVs1b95cTzzxxF1/gf3zzz8aM2aMpkyZYqiHhIQoLCwsy9/mBAAAAOdisVhUq1Yt7dixw1Dv16+f3nvvPT322GN3/NmUlBQdOXJEoaGhWrJkiTZt2qTk5OQ77h8YGKjvvvtOISEhduvfTM8++6zmz5+fOs6WLZtOnjyp/Pnzm9gVMgunDvuSNGTIEE2YMMFQ27JlS6Z+r+TFixc1bNgwTZ06Nc2r8JL0+OOPq3///nrhhRdUsGDB+57D+q4ISdq/f7/Kly+foZ4BAACAjDhw4IAqVKhgqGX06vS5c+f0ww8/aPLkyTp27Fia+7i4uKhv374aO3Zspg7FW7ZsUb169Qy1wYMHa/z48eY0hEzH6cP+pUuXVLp0aV2+fDm1Vr16dYWFhcnd3SlfJnBXoaGh6tWrl86ePZvm9mrVqmnEiBFq3br1A92CdPv2bRUrVkyxsbGptdmzZ6tbt24ZPiYAAABwv+bMmaPu3bunjv38/HTy5MkHOpf/99XcI0eO1K5du9Lcp1ChQpo5c6aaN2+e4XnMcvv2bdWsWVORkZGptbx58+qvv/5Svnz5TOwMmYnTP9CSL18+jRw50lDbuXOnxo0bZ05DGRQfH6/BgwerRYsWaQb98uXLa9GiRYqMjFTbtm0f+Fkjd3d3m29Q/xv8AQAAgIfB+vXRFStWfOCLdq6urmrbtq2ioqK0cOHCNO9ePXv2rFq0aKEhQ4YYHgvODMaOHWsI+pI0atQogj7ui9OHfUkaMGCAypUrZ6iNGjVK27ZtM6mj+3Ps2DGFhITo66+/ttmWI0cOffrpp9q9e7fatWtn12fqrRczyZUrl92ODQAAAKSH9TnolStX7HZsFxcXtW/fXrt27dKnn36qHDly2OwzYcIEhYSE6Pjx43ab15G2bt2qUaNGGWrlypXTSy+9ZFJHyKwyRdj38PDQjBkzDK/TSE5OVteuXe36y8IRNm3apBo1aig6OtpmW8uWLXXw4EENHTrU7q/OuHz5ss0tTcWLF7frHAAAAMC9WL9Ja9euXYZHdO3B09NTQ4cO1YEDB9SyZUub7dHR0QoODtamTZvsOq+9XblyRd26dVNKSkpqzc3NTT/88AOv2sN9yxRhX5Jq1aqlESNGGGrHjx9X+/btlZCQYFJXdzdt2jQ1btxYFy5cMNS9vb317bffatmyZSpatKjD5v7vSqXZsmVT/fr1HTIXAAAAcCf16tWTt7d36jg5OVnTp093yFzFihXTsmXL9M033xjmlKQLFy6oSZMmDpv7QSUkJKhdu3Y2dyCMHDlSNWvWNKcpZGpOv0DffyUnJ+vJJ5/U5s2bDfXOnTtr7ty5TvVOzbFjx+q9996zqVeoUEHz5s1TxYoVHTb3pUuXVLZsWcOXDB06dNCCBQscNicAAABwJx06dNCiRYtSx76+vjp48KBDn0Hft2+fnnnmGR04cMBm25gxY2zeXGWmlJQUdenSxeYV4/Xq1dP69esNdzgD6eU86Tgd3NzcNHfuXPn5+Rnqv/zyi9588807vsbuYbJYLBo2bFiaQb9Vq1YKCwtzaNC3WCx66aWXbO4myMirTQAAAAB7sD4XPX/+vAYMGODQ8/eKFStq+/btad7W/95772nYsGFOkx/eeOMNm6Dv5+enuXPnEvSRYZkq7Ev/uzVn+fLlypkzp6H+1VdfacCAAYZb1x82i8WiIUOGpPmmgLfeekuLFy92+CJ548eP1/z58w21tm3bKjg42KHzAgAAAHdSo0YNtWnTxlCbN2+ew98ZnytXLi1ZskRDhw612TZu3DgNGTLE1MCfnJysl156yeZ/h5w5c2rFihUqVqyYOY0hS8hUt/H/16pVq9SqVSvdvn3bUO/UqZPmzJkjLy+vh97T8OHDNWbMGJv6119/rVdffdXh88+ePVs9evQw1PLly6c9e/aocOHCDp8fAAAAuJPTp0+rcuXKNovzzZ49W926dXP4/F9//bUGDx5sUx8+fLg++ugjh89vLSEhQV27drV51Nbd3V3Lly9X06ZNH3pPyFoy3ZX9fzVr1kw//PCDzXP6v/32m5566imdOXPmofYzceJEm6Dv6uqq6dOnP5Sg/80336hnz5429SlTphD0AQAAYLoiRYpo6tSpNvUePXro22+/dfj8gwYN0vTp021edT169GhNnDjR4fP/15kzZ/TUU0/ZBH1XV1f98MMPBH3YRaYN+5LUrVs3zZ8/X56enob65s2bVa1aNa1Zs+ah9PHLL7/YfEvo6uqquXPnqnfv3g6dOykpSa+//rpeffVVm1uQPv74Y3Xs2NGh8wMAAADp1bFjR5tHXi0WiwYOHKg33nhDSUlJDp2/d+/e+umnn2wuGA4ePNjmmXlHWb16tapWrWqz6LiXl5d+++23h3KXAx4NmfY2/v9av3692rZtq7i4OEPdxcVF7733noYPH+6w2/p37typunXr2rz+b+rUqerTp49D5vzX0aNH1aVLF4WHh9tse/311/X555/bfHMJAAAAmMlisejNN9/Ul19+abOtRo0a+vnnn1WyZEmH9jB16lT169fPUPPy8tKWLVtUvXp1h8yZkJCg0aNHa8yYMTYX6Xx8fLRkyRI9+eSTDpkbj6ZMfWX/X08++aQ2bNhgs4CFxWLR6NGjVaVKFa1du9bu8164cEEdO3a0CfqjR492aNC/ffu2JkyYoGrVqqUZ9EeNGkXQBwAAgFNycXHR559/rpEjR9psCw8PV9WqVTVhwgSbtbnsqW/fvjbP6SckJKhjx442b7Wyh7Vr1yogIECjR4+2CfrFihXThg0bCPqwuyxxZf9fFy9eVM+ePbV8+fI0tz///PP6+OOP9dhjjz3wXMnJyWrevLnNowIvv/yyvvnmG4cF7Y0bN+rVV1/Vnj17bLZ5eHho8uTJeuGFFxwyNwAAAGBPM2bM0EsvvZTm7fsBAQH6+uuv1aBBA4fM/e/jA999952h3qRJE4WGhtrllXcnTpzQu+++q59//jnN7a1atdKPP/6ofPnyPfBcgLUscWX/X/nz59fSpUv12WefpfmP8+eff1bp0qXVr18/HTt27IHm+uijj2yCfv369TV+/HiHBP2NGzeqUaNGatiwYZpB/4knnlBYWBhBHwAAAJlG7969FRYWptKlS9tsi46OVsOGDdW4cWNt3LjR7nO7uLho/PjxqlevnqG+Zs2aB16d/9ixY+rbt69Kly6dZtB3c3PTZ599pqVLlxL04TBZ6sr+f/35558aMGCAduzYkeZ2Nzc3devWTS+99JJCQkLuK6BHRkYqJCREycnJqTV/f39FRUXJz8/vgXv/V3x8vH777TdNmjRJ27Ztu+N+vXv31oQJE5QzZ067zQ0AAAA8LHFxcRoyZIhmzJhxx31q166tAQMGqFOnTvL29rbb3LGxsQoMDFRMTExqzc3NTeHh4QoMDEz3cSwWi3bs2KHvv/9ec+bMMWSF/woJCdGkSZNUrVq1B+4duJssG/YlKSUlRVOnTtU777yjK1eu3HG/ChUqqE+fPurWrZt8fX3vesyEhAQFBQVp3759qTV3d3dt2LBBderUsUvPO3bs0Lx58zRr1ixdunTpjvsGBATo22+/Vd26dR94XgAAAMBsW7Zs0SuvvKLo6Og77pMvXz716NFDzz77rEJCQmxW1s+IrVu3qkGDBoaAXqlSJe3cufOeC32fO3dOc+fO1bRp07R///477pc3b159/PHH6tOnj116Bu4lS4f9f507d05jxozRlClTFB8ff8f9XFxcVLNmTbVs2VKtWrVSQECAzRX/YcOG2bwuZMSIEWkuMJJeV65c0datW7VixQotWrTI8K1iWgoXLqz33ntP/fr1k7u7e4bnBQAAAJzN7du3NWXKFI0ZM0Znzpy5677+/v5q3769nn76adWpU0d58uTJ8LwjRozQhx9+aKi9++67Gjt2rKFmsVi0e/duLV++XMuXL9f27dttFt37L29vb/Xr10/vvfeeChYsmOH+gPv1SIT9f8XExOjzzz/XpEmTdOvWrXvuX7BgQQUHB6f+8fLyUtOmTZWSkpK6T9WqVbVjxw55enqmq4dr167pwIED2rdvn/78809t3rxZ0dHRd/0F8a+iRYvq3XffVe/eve166xIAAADgbOLj4zV9+nR9/PHHOnXq1D33d3FxUUBAgOrVq6dq1aqpYsWKqlChgnx8fNI1X2JiomrUqKHdu3en1lxdXbV69WrFx8crIiIi9c+5c+fuebxs2bJpwIABGjp0qF0f9QXS65EK+/86e/aspk+frhkzZujo0aMPdKwmTZqoTp068vHxUfbs2XX79m0lJiYqKSlJt27d0rlz5xQbG6vY2FidOnUqXb+orDVu3Fj9+/dX27Zt0/2lAgAAAJAVJCYmasmSJZo8eXKGXqddtGhRFS1aVH5+fvLz81PBggWVLVs2eXh4yNPTU+7u7rp586bi4uK0ZcuWB35ld6lSpdS7d2/16dOHK/kw1SMZ9v+VkpKijRs3avr06Vq0aJFu3rxpdkupypcvrw4dOqhnz5564oknzG4HAAAAMN2RI0f0448/auHChTpw4IDZ7aTKnj272rdvrz59+qh+/fo8kw+n8EiH/f+Kj4/Xxo0bU5+9+fvvvx/q/F5eXgoJCVGzZs3UoUMHlStX7qHODwAAAGQmBw4c0KJFi7Rq1Srt2LFDCQkJD3X+kiVLpq711aBBg3su5Ac8bIT9NFgsFv3999+KiIhQeHi4vvrqK7se383NTaVLl1bFihUVGBioBg0apK4JAAAAAOD+xMfHa+fOndq4caOioqK0b98+/fXXX3d8/V1Gvfbaa6pRo4aCg4NVsmTJ+3p9N/CwEfbvwWKxqFq1aoaFOiRp5MiRunDhguLi4lL/3Lp1Sx4eHqnP/3h6eqpAgQLy9/eXn5+fChUqpNKlS6tMmTIEewAAAMCBEhISdPjwYf311186e/asYmNjFRMTowsXLigxMTF1na2kpCRly5ZNPj4+qX8KFChg87atqlWrKioqioCPTIOwfw+hoaFq0aKFobZgwQJ16NDBpI4AAAAAONqCBQvUqVMnQy00NFTNmjUzqSPg/hD27+HJJ5/Uhg0bUsdlypTR/v375ebmZl5TAAAAABwqOTlZ5cuX15EjR1JrDRs21Pr1603sCkg/lom8i0OHDhmCviS99dZbBH0AAAAgi3Nzc9Nbb71lqG3YsEGHDh0yqSPg/hD27+LHH380jAsWLKhu3bqZ1A0AAACAh6l79+7y9fU11GbNmmVSN8D9IezfQXJyss0/5G7durGwHgAAAPCI8PLysrnYN2vWLLuv8g84AmH/DtatW6fTp08baj179jSpGwAAAABmsM4Ap06d0rp160zqBkg/wv4dLFiwwDCuVq2aAgICTOoGAAAAgBmqVKmiqlWrGmoLFy40pxngPhD202CxWLRq1SpDrXPnziZ1AwAAAMBMzz//vGEcGhoqXmoGZ0fYT8Phw4d1/PhxQ+3pp582pxkAAAAApmrRooVhfPz4ccMr+QBnRNhPQ2hoqGFcpEgRVaxY0aRuAAAAAJipUqVKKly4sKFmnRkAZ0PYT8OGDRsM4+bNm8vFxcWcZgAAAACYysXFRc2bNzfUrDMD4GwI+2nYtWuXYVyvXj1zGgEAAADgFOrXr28YW2cGwNkQ9q1cuXLF5nn9atWqmdMMAAAAAKdgvSL/sWPHdOXKFVN6AdKDsG9l9+7dhrGnp6fKlStnUjcAAAAAnEH58uXl4eFhqEVHR5vUDXBvhH0re/bsMYwrVqwoT09Pk7oBAAAA4Aw8PT1tFu0m7MOZEfatnD592jAuXbq0SZ0AAAAAcCZPPPGEYXzmzBmTOgHujbBvJTY21jD29/c3qRMAAAAAzsTPz88wts4OgDMh7Fux/gdr/Q8aAAAAwKOJsI/MhLBvhbAPAAAAIC2EfWQmhH0rCQkJhnHOnDlN6gQAAACAM7HOBtbZAXAmhH0AAAAAALIYwj4AAAAAAFkMYf8eLBaL2S0AAAAAcAJkA2QmhH0r2bNnN4yvXr1qUicAAAAAnIl1NrDODoAzIexbKVy4sGEcExNjUicAAAAAnIl1NrDODoAzIexbsf4He+bMGZM6AQAAAOBMrLOBv7+/SZ0A90bYt2L9D/b06dMmdQIAAADAmVhnA67sw5kR9q0UL17cMN67d69JnQAAAABwJtbZ4LHHHjOpE+DeCPtWAgMDDePjx4/rwoULJnUDAAAAwBmcP39eJ06cMNSCgoJM6ga4N8K+lQoVKihbtmyGWmRkpEndAAAAAHAG1pkgW7ZsKl++vEndAPdG2Lfi7u6uatWqGWrbt283qRsAAAAAzsA6EwQGBsrd3d2kboB7I+ynISQkxDBetmyZSZ0AAAAAcAbWmaBGjRomdQKkD2E/Da1atTKMIyMj9c8//5jUDQAAAAAznThxQlFRUYZa69atTeoGSB/uO0lD/fr1lTdvXl2+fDm1tnjxYg0aNMjErpxDQkKCDh06pDNnzig2NlY3b96Ul5eXcuTIobJly6p8+fLy9vY2u00AAACkQ3x8vA4cOKBDhw7pxo0bSkhIUPbs2eXn56fChQurbNmy8vLyMrtN0y1evNgwzpcvn+rVq2dOM0A6EfbT4O7urtatW2vWrFmptTlz5ujVV1+Vi4uLiZ09fPHx8Vq7dq1WrlypHTt2aPfu3UpKSrrj/m5ubmrYsKF69eqlZ555hg8HAAAAJ5OQkKD58+dr5syZ2rBhg5KTk++4r4eHh6pUqaKQkBC1aNFCjRs3fuQu7FgsFs2ZM8dQa926Nc/rw+m5WCwWi9lNOKNly5apTZs2htq2bdtUq1Ytkzp6eJKTk/XHH39oxowZWrlypW7cuJGh45QpU0bTpk3jW08AAAAnsXnzZr344os6cuRIhn4+R44catGihXr37q2mTZvKzc3Nzh06n23btqlOnTqG2tKlS7mNH06PsH8Ht2/fVqlSpQzP6j/33HP65ZdfTOzKsa5cuaLvv/9ekydP1vHjx+1yTFdXV82dO1edO3e2y/EAAACQMb/88ou6du2qlJQUuxyvRIkS6t+/v1566SXlyZPHLsd0Rs8995zmzZuXOi5evLiOHj36SHzRgcyNsH8Xn332md56663UsZubm44eParixYub2JX9Xb16VRMmTNCXX36pq1evputnChUqJD8/P+XKlUsJCQm6cOGC/v777zT3dXd318aNG1W7dm17tg0AAIB02rp1qxo2bKjbt2+nub1kyZIqUKCAvLy8dO3aNcXGxurs2bPpOnbu3Ln1+uuva/DgwcqdO7c92zbdiRMnVKpUKcOjDp999pnefPNNE7sC0oewfxeXL19W0aJFdfPmzdRa165dbZ7Zyaxu376tiRMn6qOPPjIsRmjNxcVFderU0dNPP62QkBAFBQWl+Ys8Li5OK1as0BdffKGIiAjDtpCQEIWFhT1yax4AAACYzWKxqGbNmgoPDzfUg4OD9cYbb+jpp5+Wj4+Pzc9dvXpVkZGR2rFjh5YvX65t27bpbtEhb968ev/99/Xqq69mmefZu3btqp9++il1nCNHDp08eVJ58+Y1sSsgfQj79zBo0CBNnDjRUNu+fbtCQkJM6sg+tmzZopdffll79uy54z5VqlRR//791bFjRxUsWDDdx05OTtbgwYP17bffGuqPypoHAAAAziQsLMzmDstXXnlFEyZMuK9b0c+dO6cFCxZo8uTJ2r179x33CwgI0HfffWfznHtms337dptz10GDBmnChAkmdQTcH8L+PZw/f16lS5fWtWvXUms1a9bUtm3bMuVV6hs3buj111/XlClT7rjPs88+q9dff101atTI8N8xKSlJZcqUMTz7/8UXX+j111/P0PEAAACQMV988YXhtvMSJUroyJEjGb76brFYFB4eri+++ELz58+/4379+/fXF198oRw5cmRoHjNZLBbVrl1b27dvT63lzp1bR44cka+vr4mdAennanYDzs7X11fvv/++obZ9+3Z98803JnWUcTt37lRgYOAdg37Hjh0VHR2tX3/9VSEhIQ/0ZYaHh4eefPJJQ+3w4cMZPh4AAAAyxnrl/UaNGj3QbfYuLi4KCQnRvHnzFB0drY4dO6a53+TJkxUYGKjIyMgMz2WWiRMnGoK+JL3//vsEfWQqhP10ePXVV1WqVClDbejQoXe9Bd6ZWCwWff7556pVq1aagTsgIEBbtmzRb7/9psqVK9t13v/Kli2b3Y4NAACA9PH29jaM7Xljb+XKlfXbb79py5YtCggIsNl++PBh1axZU59//rld53Wk6OhoDR061FArXbq0Xn31VZM6AjKGsJ8OXl5emjRpkqGWkJCg559/Xrdu3TKpq/S5deuWunXrpqFDh9qsvpojRw6NHz9ekZGRDnmmaufOnYbx/Tz3DwAAAPsoVKiQYWx9jmYPderUUWRkpL766iub2/Zv376toUOHqnv37oqPj7f73PZ069YtPf/880pMTDTUJ02aJE9PT5O6AjKGsJ9OTz31lM3z5vv27dMLL7xgt3eV2ltMTIwaNmxoWEH0XzVq1NCuXbs0ePBgh6yWGh0drb179xpqDRo0sPs8AAAAuLv69esbxnv27FF0dLTd53F3d9eQIUO0a9cuBQcH22yfO3euGjRooJiYGLvPbQ8pKSl64YUXtH//fkP9jTfeUJMmTUzqCsg4Fui7DwkJCapZs6Z27dplqL/xxhv6/PPPzWnqDg4dOqQmTZro1KlThrqLi4uGDRumESNGyMPDw2Hzd+jQQYsWLUod+/r6KiYm5r5WfAUAAMCDS05Olp+fny5cuJBa69ChgxYsWOCwOZOSkjRy5EiNGzfO5vb9YsWKac2aNSpTpozD5s+IN954Q19++aWhVq1aNYWFhcnLy8ukroCM48r+ffDy8tLPP/+snDlzGupffPGFxo8fb05TaYiOjlb9+vVtgr6Pj4+WLl2q0aNHOzToL1y40BD0pf+te0DQBwAAePjc3NxsnjdP63zNnjw8PDRmzBgtXbrU5tz55MmTql+/vlOtfzV+/HiboJ8zZ0799NNPBH1kWlzZz4A//vhDLVu2tHkG3hleLRcREaFmzZrp8uXLhnrJkiW1dOlSVaxY0aHz//3336pRo4YuXryYWsubN6+OHTum3LlzO3RuAAAApO3q1at6/PHHDeeI+fPnV3h4uEqWLOnQuffu3as2bdro2LFjhnq+fPm0atUqVa9e3aHz34v1qwml/z2SsGLFCj311FMmdQU8OK7sZ0DTpk01bdo0m/obb7yhYcOGmbbSaHR0tJ566imboB8cHKwdO3Y4POifPXtWTZs2NQR9Sfryyy8J+gAAACbKnTu3zZXrixcvqmnTpjp79qxD565UqZLCw8NtQv2lS5fUpEkT067wWywWvfvuuzZBX5KmT59O0EemR9jPoJ49e2rMmDE29XHjxqlPnz5KSEh4qP0cO3ZMzZs319WrVw31evXqac2aNSpQoIBD5//nn3/UqFEjHT161FDv1KmTevbs6dC5AQAAcG89e/ZUp06dDLWjR4+qUaNGOnnypEPnLlCggNauXau6desa6levXlWzZs10/Phxh85vLT4+Xn369NHHH39ss23s2LHq0aPHQ+0HcARu439An376qd5++22bemBgoObNm6dSpUo5vIfz58+rTp06OnLkiKHetGlTLVq0SNmzZ3fo/Lt27VLLli115swZQ71KlSrauHEjV/UBAACcxNWrV9WgQQPt3r3bUC9cuLCWL1+uqlWrOnT+GzduqH379lq9erWhXqZMGW3ZskW+vr4OnV/63xcczz77rKKiomy2ffrppxo6dKjDewAeBq7sP6C33npL06dPl6ur8X/KqKgoBQYG6rfffnPo/AkJCWrTpo1N0K9Xr54WL17s0KBvsVj07bffqmbNmjZBv2TJkgoNDSXoAwAAOJHcuXMrNDTU5jn9M2fOqFatWvruu+8c+khqjhw5tGTJEpsr/IcPH1bbtm0dfnfs/PnzFRgYaBP0XV1dNWPGDII+shTCvh307t1bCxYsULZs2Qz1a9eu6ZlnnlHHjh0ddmvUkCFDtH37dkOtcuXKWrp0qU0/9nTq1Cm1a9dOAwcOtPmlXL58ea1bt05+fn4Omx8AAAAZ4+fnp3Xr1ql8+fKGenx8vF555RW1a9fO5q1O9pQtWzYtXbpUlSpVMtTDwsL02muvOWTOkydPqkOHDnr22Wd17do1m34WLFigF154wSFzA2Yh7NtJu3btFB4ernLlytlsW7hwocqXL6/PP/9cSUlJdptz5syZ+v777w214sWLKzQ0VHny5LHbPP+VmJioTz75ROXKldPSpUttttevX19bt25V8eLFHTI/AAAAHlzx4sW1ZcsW1atXz2bb0qVLVa5cOX366adKTEx0yPx58+ZVaGiozTnjpEmT9OOPP9ptnqSkJH3++ecqX758mq8aLF++vCIiItSuXTu7zQk4C57Zt7Pr16/r5Zdf1uzZs9PcXrJkSQ0bNkzdu3eXp6dnhufZtWuXatasabiqni1bNoWFhalKlSoZPu6dJCUladasWRo7dqz+/vvvNPcZPHiwPvnkE95FCgAAkEkkJCTo7bff1oQJE9LcXrJkSb333nvq3r27PDw87D7/7t27VatWLd26dSu15u3tre3btz/QOW1iYmLquav1K//+1aNHD3333XfKkSNHhucBnBlh3wEsFovmzJmj119/XRcuXEhzn+LFi+udd95R9+7d7/sXTEJCgoKDg21eUzJnzhx17do1w32n5erVq5ozZ44+//zzO66SWqBAAc2cOVMtW7a069wAAAB4OJYvX65evXrd8dy1RIkSevPNN9WtWze7r8k0Z84cde/e3VCrXLmydu7ced8Xx65fv645c+bo448/1okTJ9Lcp0CBAvryyy/VrVs3ubi4ZLhvwNkR9h3o4sWLGjZsmKZMmXLHfXx8fNS5c2f16dNHwcHB6fqFM3z4cJvX/r366qv6+uuvH7hn6X9fVuzYsUPTpk3Tzz//rJs3b6a5n4uLi/r06aOxY8c6/NV+AAAAcKwLFy5o2LBhmjZt2h0X6cuePbuef/559enTRyEhIXYLy6+++qq++eYbQ2348OH66KOP7vmzFotF4eHhmj59un7++Wddv349zf1cXFzUr18/jR07Vvny5bNL34AzI+w/BNu3b9eQIUO0Y8eOu+5Xvnx5tWnTRi1btlStWrXk7u5us09ERIRq1aql5OTk1FqVKlUUHh7+QI8FJCUlaevWrVq4cKEWL158zwUFQ0JC9PXXX6tGjRoZnhMAAADOJzw8XIMGDbrnuWuxYsXUrl07dejQQXXq1Hmg2/wTExMVHBys6Ojo1Jqbm5u2b9+u6tWr2+x/+/ZthYWFafny5Vq6dKkOHDhw1+OHhIRo/PjxqlmzZoZ7BDIbwv5DYrFYtHr1ao0aNUrbtm275/558+ZVkyZNFBISouDgYAUGBsrb21uBgYGG2/fd3d21c+fO+36m6eLFi9q9e7e2bNmiTZs2KSws7I5X8P+rVq1aGjFihJo2bcptTwAAAFmUxWLRqlWrNGrUKJs3P6Ule/bsql27turVq6e6deuqSpUqyp8//33NuWvXLgUHB+v27duptYCAAEVFRenWrVuKiopSRESEduzYoTVr1ujy5cv3PGbt2rU1YsQIPfXUU5y74pFD2H/ILBaL1q1bpy+//FKhoaFKSUlJ18+5urqmuW/dunX16aefysfHRzlz5lRycrISExOVmJiohIQEnT9/XrGxsYqNjdWZM2d04MAB7d+/X2fPnk13z25ubmrbtq1eeeUVPfnkk/yiBAAAeET8e+763XffacmSJYa7S++lUKFCqlixosqVK6fChQvLz89Pfn5+8vX1lZeXlzw9PeXp6Sk3Nzddv35dcXFxGjp0qLZu3WpzrDudC6fF1dVVzZs31+uvv65GjRpx7opHFmHfRKdOndKPP/6o6dOn33GVUDM98cQT6tmzp3r37i1/f3+z2wEAAICJYmJiNGPGDP344486cuSI2e3YKFmypHr37q2ePXuqaNGiZrcDmI6w7wRSUlK0fft2LV++XMuXL9fu3btN66VatWrq0KGD2rdvrwoVKvBNKAAAAAwsFov279+vhQsXatGiRfrzzz9N66VKlSpq2bKlWrZsqZo1a8rV1dW0XgBnQ9h3QidPntQff/yhHTt2KCIiQrt27XLIPJ6enqpcubLq16+v+vXrq27duqyqDwAAgPty4cKF1HWgNm3apD179igxMdEhc1WtWlXBwcEKCQlR06ZNVaxYMYfMA2QFhP1MYNCgQZo4caKhVrhwYeXIkUNxcXGKi4vTjRs3DNtdXFzk6emp/Pnzpz4f5e/vr+LFi6tixYqqWLGiSpUqleaK/wAAAEBG3b59W0ePHtW+ffu0b98+nThxQjExManrSF28eFGJiYk2r/fLkSOHfHx85OPjo+vXrysmJsawfdCgQZowYcLD/KsAmRph38lduXJFjz32mOLi4lJrffv21ZQpUwz7JScn69atW3J3d5eHh4fc3NwedqsAAABAuiUnJyspKUm3b99WtmzZbM5f+/Xrp6lTp6aOc+XKpX/++Ue5c+d+2K0CmRIPtTi5SZMmGYK+q6ur3nrrLZv93NzclDNnTnl7exP0AQAA4PTc3Nzk7e2tnDlzpnn+OnToUMP6UdeuXdOkSZMeZotApkbYd2LJycn65ptvDLVOnTqpdOnSJnUEAAAAPBxPPPGEOnXqZKh988039/X6P+BRRth3YmvWrNGZM2cMtbSu6gMAAABZ0dtvv20Ynz59WmvXrjWpGyBzIew7sZkzZxrGQUFBCgoKMqcZAAAA4CELCgpSYGCgoWZ9jgwgbYR9J3XlyhUtXrzYUOvZs6c5zQAAAAAmsT4HXrRoka5evWpSN0DmQdh3UkuWLFF8fHzq2MPDQ88//7yJHQEAAAAPX5cuXeTh4ZE6jo+P15IlS0zsCMgcCPtOKjQ01DBu0aKFChQoYFI3AAAAgDkKFCigFi1aGGrW58oAbBH2nVBycrL++OMPQ61Vq1YmdQMAAACYq2XLlobxH3/8war8wD0Q9p1QZGSkLl26ZKg1a9bMpG4AAAAAc1mfC1+8eFFRUVEmdQNkDoR9J7R69WrDuHz58nrsscdM6gYAAAAwV/HixVWuXDlDzfqcGYARYd8JWX9L2bhxY5M6AQAAAJxDkyZNDGOu7AN3R9h3Qrt27TKMg4KCzGkEAAAAcBKBgYGGsfU5MwAjwr6TuXr1qv7++29DrWrVquY0AwAAADgJ63Pio0eP6tq1a+Y0A2QChH0nEx0dbRh7eHioQoUKJnUDAAAAOIcKFSrI3d3dULM+dwbwfwj7TubEiROGcenSpeXp6WlSNwAAAIBz8PLyUunSpQ0163NnAP+HsO9kYmNjDePChQub1AkAAADgXKzPja3PnQH8H8K+k7H+heXn52dSJwAAAIBzsT43JuwDd0bYdzKEfQAAACBt1ufGMTExJnUCOD/CvpOxXlE0X758JnUCAAAAOBfrc2NW4wfujLDv5FxcXMxuAQAAAHAK1ufGnCsDd0bYd3IWi8XsFgAAAACnwLkxkH6EfSfDt5MAAABA+nDuDNwZYd/JeHh4GMa3bt0yqRMAAADAuVifG7u7u5vUCeD8CPtOhhVGAQAAgLRZnxv7+/ub1Ang/Aj7Tsb6FxZhHwAAAPgfwj6QfoR9J1O4cGHD+MyZMyZ1AgAAADgX63Nj63NnAP+HsO9kihQpYhj/9ddfSklJMakbAAAAwDkkJyfr6NGjhhphH7gzwr6TqVy5smF8/fp1HTp0yKRuAAAAAOdw6NAhXb9+3VALCAgwqRvA+RH2nYy/v7/N1f2dO3ea1A0AAADgHKzPiYsWLWqzuDWA/0PYd0LBwcGGcXh4uEmdAAAAAM4hIiLCMLY+ZwZgRNh3QtWrVzeMV61aJYvFYlI3AAAAgLksFotCQ0MNNetzZgBGhH0n1LRpU8P4yJEjOnDggEndAAAAAObav3+//vrrL0PN+pwZgBFh3wkFBQXZPLe/aNEik7pxThaLRRcuXNCxY8d05swZXb58mbsfAABApmSxWHT58mWdOXNGx44d04ULFzivsWJ9Lly0aFEFBQWZ1A2QObib3QBsubq6ql27dvr2229Ta/PmzdOwYcPk4uJiYmfmSExM1NatWxUWFqbw8HDt3r1bp0+fVlJSkmG/PHnyKCAgQE8++aR69OihkiVLmtQxAADA3f3999+aNWuW1q9fr+joaF25csWw3cPDQ0WKFFGVKlVUo0YN1apVS3Xq1JGnp6c5DZvIYrFo/vz5hlq7du0eyfNi4H64WPja0CmtXbtWTZo0MdQ2bdqkevXqmdTRw5WQkKClS5dq4cKFWrFiha5du3bfx+jYsaO+/vpr3r8KAACcxunTpzV48GAtWLDgvn82V65cevrpp9WhQwe1adNGXl5eDujQ+WzatEkNGjQw1NauXatGjRqZ1BGQORD2nVRycrLKlCmjv//+O7XWsWNH/fbbbyZ25Xh///23Jk+erBkzZujChQsPfLzcuXNr6dKlql+/vh26AwAAyLhNmzapTZs2unr16gMfy9fXV71791a/fv2y/N2MHTt21MKFC1PHJUuW1OHDh+Xm5mZiV4DzI+w7sfHjx+u1115LHbu6uurvv/9W8eLFTezKMQ4dOqQPP/xQP//8s92fUfPx8dHWrVtVuXJlux4XAAAgvaKjo1W3bl3FxcXZ9bguLi7q0qWLPvjgA5UpU8aux3YGx48fV6lSpZSSkpJaGz9+vAYPHmxiV0DmQNh3YteuXVPRokUNHwovvPCCZsyYYWJX9nXy5EkNHz5cc+bMMfwST0tQUJBq1aql4OBglStXTv7+/sqXL58SExN1+fJl7du3T3/88YfmzJlj89xbSEiIwsLCeLYLAAA8dBaLRTVr1lR4eLihnjdvXnXt2lVNmzZVxYoVlTdvXnl6eurSpUuKiYnRwYMHFRERobCwMEVGRt51DldXV3Xr1k2jR49WsWLFHPnXeaheeOEFzZw5M3Xs4+OjU6dOKVeuXOY1BWQShH0nN2TIEE2YMCF17OLiop07dyowMNDErh5cYmKivvrqK3344Ye6efPmHfdr2LChOnfurNatW6f72fsLFy6oV69eWr58uaHOs10AAMAMaa3F1LJlS/3444/Knz9/uo5x5swZLVu2TL/88os2bNhwx/1y5MihDz74QEOGDMn0i/lFRkaqevXqhtqQIUP01VdfmdQRkLkQ9p1cbGysnnjiCV2/fj21Vr9+fW3YsCHTXqXetm2b+vTpowMHDqS53cfHRy+++KL69++vcuXKZWiO+Ph4VaxY0bDmwdChQ/Xpp59m6HgAAAAZ9dZbb+mzzz5LHZcqVUp79+6Vt7d3ho538OBBTZ48WdOnT7/jYwHly5fXtGnTVLt27QzNYTaLxaIGDRpo8+bNqTUfHx8dOXJEhQoVMrEzIPNwNbsB3J2fn5/ee+89Q23Tpk2aNWuWSR1l3O3btzVixAjVq1cvzaCfI0cODRs2TMeOHdNXX32V4aAvSd7e3nr++ecNtb1792b4eAAAABllfQ7SuXPnDAd9SSpXrpy++uorHTt2TO+++65y5Mhhs8+BAwdUr149jRw5Urdv387wXGaZNWuWIehL0nvvvUfQB+4DYT8TGDJkiEqUKGGoDRw4UEePHjWnoQz4+++/Va9ePX344Yc2z+a7uLiof//+OnbsmMaMGZPu29nuJU+ePIZxcnKyXY4LAABwP6zDtvU5Skblz59fY8eO1bFjx9S/f3+buz5TUlI0atQo1a9fX8eOHbPLnA/DX3/9pYEDBxpqJUqUYFE+4D4R9jMBb29vm2eTrl+/ri5duigpKcmkrtJv3bp1ql69urZv326zLTAwUNu3b9f3338vX19fu857+PBhw9heXyIAAADcD+tzkCNHjtj1+L6+vvr++++1ffv2NNd1CgsLU/Xq1bV+/Xq7zusISUlJ6tKli+ERVul/K/A/yN0QwKOIsJ9JtGvXTr179zbUwsPD9dZbb5nUUfp89913atq0qS5fvmyou7m5afTo0QoPD1eNGjXsPm9SUpLNAn2ZfVFDAACQOQUFBRnGv//+u0Mu2NSoUUPh4eEaPXq0zTvoL126pKZNm2rSpEl2n9eehg4dqoiICEPtxRdfVNu2bU3qCMi8CPuZyIQJE/TEE08YauPHj9f48ePNaeguUlJSNGjQIL3yyis2t8+XKlVK27Zt03vvvWfzQWQvs2bN0pkzZwy1li1bOmQuAACAu7E+Bzlz5oxmz57tkLnc3Nz03nvvaevWrSpVqpRh2+3bt/Xyyy9r0KBB93zlsRm++uorw1uoJKlMmTJOea4LZAasxp/JREZGqlatWoZvg11cXDRv3jx16tTJxM7+z+3bt9W7d+80P8Tatm2r2bNny8fHx2HzX7hwQZUrV1ZsbGxqrVatWtq2bZvD5gQAALgTi8WiOnXqKCwsLLXm7++v6OhoFShQwGHzxsXFqXv37lqyZInNth49emj69Olyd3d32Pz3Y/78+Xruuef032ji4eGhsLAwmzsjAKQPV/YzmaCgIE2dOtVQs1gs6tq1q5YuXWpSV/8nMTFRzz//fJpB/7333tPChQsdGvRTUlLUt29fQ9CXpJEjRzpsTgAAgLtxcXHRiBEjDLWYmBj17dvXoVfYfXx8tHDhQg0bNsxm26xZs9SlSxclJiY6bP70WrJkibp16ybra5DTpk0j6AMPgLCfCfXs2VOjR4821BITE9WhQwfNnDnTnKb0v+fkn3nmGf3222+GuoeHh+bOnavRo0fL1dVx/8lZLBYNHTpUixcvNtRbtGihp556ymHzAgAA3EvTpk3VokULQ23x4sV6++23HTqvq6urxowZozlz5thcxZ8/f76eeeYZU1/N98MPP6hDhw42XzqMGTNGPXr0MKkrIGvgNv5MymKx6OWXX9b3339vs+3TTz/Vm2++afP6FUf307t3b5svG7y9vbVgwQI9/fTTDp9/1KhRGjVqlKFeoEAB7dmzR35+fg6dHwAA4F5iYmJUuXJlXbx40VAfOXKkPvjgA4efuy1fvlwdO3ZUQkKCof7CCy9o+vTpD/3c8fPPP09zsekBAwbo22+/faj9AFkRV/YzKRcXF33zzTc2K/RL0ltvvaWuXbsqLi7uofXz7rvv2gT9HDlyaMWKFQ4P+rdv31b//v1tgr6bm5tmz55N0AcAAE7B399fc+bMsVmgeOTIkXrppZccfoW9ZcuWWrlypXLkyGGo//DDD2ne6u8ocXFx6tKlS5pBv3fv3po4cSJBH7ADruxnchaLRe+8844+/fRTm21lypTR/PnzFRAQ4NAevvnmG7366quGmre3t1avXq26des6dO7Tp0+re/fuab43dtasWerevbtD5wcAALhfs2bNUs+ePW3qTz75pGbPnq0iRYo4dP4tW7boqaeeUnx8vKE+ceJEDRw40KFz7969W88884yOHDlis+3tt9/WuHHjCPqAnXBlP5NzcXHRJ598kmbYP3z4sGrUqKGxY8c6bPGVTZs2aciQIYaam5ub5s2b5/Cgv2TJElWpUsUm6P971wNBHwAAOKMePXrom2++sQm169evV5UqVdJcPd+e6tatq3nz5tncYfDaa69p8+bNDpkzISFBY8eOVUhISJpB/7PPPtPHH39M0AfsiCv7WciSJUvUq1cvXblyxWZbuXLl9N133+nJJ5+023ynT59WUFCQzp49a6jPmDFDL7zwgt3msXbs2DENGTIkzbcPeHl5ae7cuerYsaPD5gcAALCH3377Td26dbN5hl763+uKx48frxIlSjhs/hkzZujFF1801AoVKqSoqCgVLlzYbvOsW7dOL7/8sg4dOmSzLU+ePJo5c6batm1rt/kA/A9X9rOQtm3bKioqSsHBwTbbDh48qEaNGqlTp06Kjo5+4LkSExP1zDPP2AT94cOHOyzoX7hwQcOGDVOFChXSDPrFihXT+vXrCfoAACBT6NSpk9atW6eiRYvabFuyZInKly+vYcOG6cKFCw6Zv3fv3ho+fLihdvbsWXXq1Mkud4VGR0erU6dOaty4cZpBPzg4WH/++SdBH3AQwn4W8/jjj2vz5s167bXX0nzN3YIFC1SlShV16NBBf/75Z4bn+eijjxQWFmaoNW/e3CHvs4+NjdXbb7+tEiVKaNy4cTbPl0lSx44dtXv3btWqVcvu8wMAADhK7dq1tXv3bnXo0MFmW3x8vMaNG6cSJUronXfeUWxsrN3nHzlypJo1a2aohYWF2bzm+X78+eefat++vapUqaIFCxbYbHd1ddXrr7+uLVu2OPTOBeBRx238WVhkZKReeukl7dy584771K1bV3369FGnTp1sVma9k507d6pmzZpKTk5OrT3++OPauXOn8uXL98B9S1JKSorWrl2rKVOmaPHixXdcndbX11efffaZevTowTNeAAAg07JYLJo1a5aGDh2q8+fPp7mPu7u72rVrp/79+6tRo0ZpXtjJiEuXLikoKEjHjx9Prbm5uWnHjh0KCgpK1zFu3Lih+fPna/r06dqyZcsd9wsODtakSZPSfVwAGUfYz+KSk5M1efJkvffee2k+y/8vHx8fde7cWe3bt1fDhg2VLVu2NPdLSEhQUFCQ9u3bl1pzd3fX9u3bH/iXdnJysrZu3apFixZp0aJFOnHixB33dXV11SuvvKIPP/xQefLkeaB5AQAAnMWVK1f0/vvv67vvvlNKSsod9ytevLjat2+vDh06qHbt2jaL7d2vyMhI1axZ03CBpWLFioqMjJSXl1eaP3Pr1i2tX79eixcv1i+//HLX1z7nyZNHY8eOVb9+/R64VwDpQ9h/RFy5ckUTJ07UV199pcuXL99132zZsqlx48Zq0aKFatasqcqVK8vDw0PS/57JHzNmjGH/kSNHasSIEffdU0pKivbv369NmzZp06ZNWrdu3R2/yf6Xq6urunbtqmHDhqlcuXL3PScAAEBmcPDgQY0dO1Zz5869a+iXpIIFC6pRo0aqV6+e6tevrwoVKmToqv/IkSM1atQoQ2348OH66KOPJElJSUnas2ePtm/frpUrV2rt2rW6devWXY+ZN29evf7663r11VeVO3fu++4JQMYR9h8x165d07fffquvvvrqnsH6X97e3qpatary5cunFStWGLZVrVpV4eHhqV8GWEtOTtbFixcVGxurM2fO6PDhw9q3b5/27dunvXv36urVq+nqIVu2bOrSpYveeecdlS5dOl0/AwAAkNkdOXJEn3zyiX766ad7But/5c6dW5UqVVLFihVVsWJFlSlTRoULF5afn5/y589/xyvriYmJqlGjhnbv3m2ot2zZUhcvXtSff/6Z5psD0uLr66vXXntNr7zyinLlypWunwFgX4T9R1RiYqKWLVumadOmadWqVXqQ/wxy5colHx8f5cyZUxaLRYmJial/Ll++bHi2/35VqlRJ/fv3V7du3bhdHwAAPLKuXLmiOXPmaPLkydq7d2+Gj+Pm5qa8efPK09Mz9Y+Li4uuX7+uuLg4Xbt2LcPHdnFxUfPmzfXiiy+qdevW8vT0zPCxADw4wj70zz//6KefftLvv/+usLCwe94q5mgBAQGpz6BVrlyZhfcAAAD+P4vFoj179mjhwoVatGiRXV6p/CBcXV1Vq1YttWrVSl27dlWxYsVM7QfA/yHsw+DixYsKDQ3VypUrtX37dh09etThcxYvXlz169dXvXr11KhRI5UqVcrhcwIAAGQFR48e1bp167R582Zt2rTprgsc20upUqVUs2ZNPf3002rWrJny58/v8DkB3D/CPu7q0qVL+vTTT/XJJ5880HFcXFzk6+urYsWKpT4/VqFCBVWpUoVvgAEAAOzk5MmT2r17t/bv35+6TtLJkyd1/vz5B3psU5LeeecdDR061G6vWgbgWO5mNwDnli9fPkVFRRlqJUuW1O7du3X+/PnUZ7vi4uJ0/fp1ubq6pj7/5eHhoTx58sjf31++vr5yd+c/NwAAAEcqVqyYihUrplatWhnqt2/f1vnz5xUTE6MrV64oKSkpdY2llJQU5cyZUz4+PqlrMfn6+iogIEDHjh1LPUZUVBRBH8hEuLKPu4qMjFT16tUNtUmTJumll14yqSMAAAA8DJMmTdLLL79sqEVGRiowMNCkjgDcj/t/ASceKV9++aVhXKhQIfXq1cucZgAAAPDQ9OrVSwULFjTUrM8NATgvwj7u6MqVK1q4cKGhNnjwYHl7e5vUEQAAAB6WbNmyaciQIYbaggULdPXqVXMaAnBfCPu4o3nz5ik+Pj517OHhoX79+pnYEQAAAB6mvn37ysPDI3UcHx+vefPmmdgRgPQi7OOOZs6caRi3bt2aV6sAAAA8QgoUKGCz2J/1OSIA50TYR5r++usvhYWFGWo8qw8AAPDosT4H3LZtm44ePWpOMwDSjbCPNK1YscIw9vX1VfPmzU3qBgAAAGZp0aKFfH19DTXrc0UAzoewjzStWrXKMG7ZsqXheS0AAAA8Gjw8PPT0008batbnigCcD2EfNuLj47V+/XpDjav6AAAAjy7rc8H169cbFnIG4HwI+7CxZcsW3bp1K3Xs6uqqJk2amNgRAAAAzPTUU0/JxcUldXzz5k1t2bLFxI4A3AthHzZ27NhhGFevXp1V+AEAAB5h+fPnV/Xq1Q218PBwk7oBkB6EfdjYtWuXYVyjRg1zGgEAAIDTsD4ntD5nBOBcCPuwYf2Lu2rVqqb0AQAAAOdhfU5I2AecG2EfBnFxcfrrr78MNcI+AAAArM8J//rrL8XFxZnTDIB7IuzD4OjRo4axi4uLKlasaFI3AAAAcBaVKlUyLNJnsVhszh0BOA/CPgxiY2MN44IFC8rb29ukbgAAAOAsvL295evra6idPXvWpG4A3AthHwYxMTGGsZ+fn0mdAAAAwNlYnxtanzsCcB6EfRhYX9n39/c3qRMAAAA4G+tzQ+tzRwDOg7APg4sXLxrG1rdqAQAA4NFlfW5ofe4IwHkQ9mFgsVgMY3d3d5M6AQAAgLOxPje0PncE4DwI+wAAAAAAZDGEfQAAAAAAshjCPgxcXY3/SSQlJZnUCQAAAJzN7du3DWMXFxeTOgFwL4R9GOTPn98wPnfunEmdAAAAwNmcPXvWMC5QoIBJnQC4F8I+DAoXLmwY8+5UAAAA/Mv63ND63BGA8yDsw8D63alnzpwxqRMAAAA4G+tzQ+tzRwDOg7APA+tvZy9evKi4uDiTugEAAICzuHbtmi5dumSocWUfcF6EfRiUKlXK5v2pUVFRJnUDAAAAZ2F9Tuju7q6SJUua1A2AeyHsw8Db21uVK1c21Hbu3GlSNwAAAHAW1ueEAQEB8vb2NqkbAPdC2IeN6tWrG8YREREmdQIAAABnYX1OaH3OCMC5EPZhIzg42DDeuHGjUlJSTOoGAAAAZktJSdGmTZsMNetzRgDOhbAPG/Xr1zeMY2NjFR4eblI3AAAAMNuOHTsUGxtrqFmfMwJwLoR92ChbtqzKlStnqC1atMikbgAAAGA263PB8uXLq0yZMiZ1AyA93O+9Cx5F7du317hx41LHCxcu1McffywXFxcTuzJPcnKyDh06pIiICEVFRenkyZOKiYnR5cuX5enpKW9vbxUrVkwBAQGqW7euGjZsKDc3N7PbBgAAd5CcnKwNGzZoy5Ytio6O1smTJxUfH6/ExETlzZtX/v7+KlasmAIDAxUcHKyyZcs+sp/tFovFJuy3b9/epG4ApJeLxWKxmN0EnE9ERIRq1KhhqK1du1aNGjUyqaOH7/r161q1apWWLFmi5cuX27xX9m6KFi2qgQMH6rXXXpOnp6cDuwQAAPcjMTFRX331lSZOnKjTp0+n++fy5cunli1bqm3btmrWrJly5szpwC6dy9q1a9WkSRNDLSIiggX6ACdH2EeaLBaLypUrp8OHD6fW2rRpoyVLlpjY1cPx559/6vvvv9fcuXN148aNBzpW5cqVNX/+fJUtW9ZO3QEAgIw6dOiQOnXqpL179z7QcXLkyKGuXbtqwIABqlq1qn2ac2Jt2rTRsmXLUsdlypTRwYMHH9k7PoHMgmf2kSYXFxcNGjTIUFu2bJmOHj1qUkeOZbFYtHLlStWuXVuBgYGaMmXKAwd9SdqzZ48aNWqk48ePP3iTAAAgw44fP65GjRo9cNCXpBs3bmjKlCmqVq2aateurZUrVyqrXj/766+/9PvvvxtqgwYNIugDmQBX9nFH169fV9GiRXX16tXUWp8+fTR16lQTu7K/1atX64MPPtD27dvvuW/RokUVHBysihUryt/fXwUKFFBycrKuXbumgwcPasOGDdq1a5fNz9WpU0ebN2/mgxEAABNYLBbVq1dPW7dutdlWtWpVNWzYUOXKlVOuXLnk5uamCxcuKCYmRnv37tXOnTt16tSpe85Rs2ZNffjhh3rqqacc8VcwTd++fTVt2rTUce7cuXXq1KlH6jEGILMi7OOu3njjDX355ZepY1dXV0VFRalKlSomdmUfx44d06BBg2y+rf4vNzc3Pfnkk2rbtq1at26t4sWL3/O4O3bsUN++fbVnzx5DPTQ0VM2aNXvgvgEAwP1ZtWqVmjdvbqhVrlxZU6dOVUhIyD1//sSJE1q2bJmWLFmi9evXKzk5+Y77tm7dWhMmTNDjjz/+wH2bbdeuXQoMDDTctfDGG2/o888/N7ErAOlF2MddnTlzRmXKlDHc0t6oUSOtWbMm016lTkxM1KeffqoxY8YoPj4+zX0KFy6sfv36qU+fPipSpMh9z3Hp0iUFBQUZbt/v1auXfvjhh4y2DQAAMuiFF17QzJkzU8clSpRQVFSU8ubNe9/HOn36tKZOnaqpU6fqzJkzae7j7e2t9957T2+99VamXajXYrGocePGWr9+fWotR44cOnz4sAoXLmxiZwDSi2f2cVeFCxfW22+/baitW7dOCxcuNKmjB3Pw4EHVrFlT77//fppB//HHH9eMGTN0/PhxjRgxIkNBX/rfir0DBw401NK6vR8AADjen3/+aRi/+uqrGQr6klSkSBGNHDlSx48f14wZM9K8gh8fH6/3339ftWrV0sGDBzM0j9kWLFhgCPqS9M477xD0gUyEsI97euONN1S0aFFDrX///nf8NtsZWSwWff/99woMDLT5wJekQoUKaerUqTp06JBeeOEFeXh4PPCcTzzxhGF8P6/uAwAA9mP9GVy6dOkHPqaHh4deeOEFHTp0SFOmTFHBggVt9omKilJgYKAmT56cqRbwO3PmjF566SVDrVixYnrjjTdM6ghARhD2cU/Zs2fXp59+aqhdvHhRPXv2VEpKikldpd/NmzfVuXNnDRgwQLdu3TJsc3V11cCBA3Xw4EH16dPHLiH/X7GxsYZxnjx57HZsAACQftZX8c+ePWu3Y3t4eKhv3746dOiQBg4cKFdX4+n1rVu39NJLL6lz5866efOm3eZ1lJSUFPXo0UMXL1401D/55BNly5bNpK4AZARhH+nSuXNndejQwVBbs2aNzZcAzubUqVOqV6+e5s2bZ7OtfPnyCg8P18SJEx0SxP/44w/D2PpKPwAAeDisP4OtP6PtIU+ePJo4caLCw8NVvnx5m+3z5s1T/fr107Wyv5k+/fRTrV271lDr2LGjOnfubFJHADKKsI90cXFx0dSpU22eYR82bJjmz59vUld3Fx4eruDgYEVFRdlsGzhwoCIjIxUUFOSQuU+cOKElS5YYai1atHDIXAAA4O6sV+JfsmSJTpw44ZC5goKCtHPnTr3yyis22yIjIxUcHKyIiAiHzP2g5s2bp2HDhhlqRYsW1ZQpUzLtwszAo4ywj3TLly+f5syZY/hlb7FY1K1bN23atMnEzmxt2LBBjRo1srmVPnfu3Fq6dKkmTpzo0FvR3nvvPd2+fTt17O3trTZt2jhsPgAAcGdt2rSRl5dX6jgpKUnvvfeew+bLnj27vvnmGy1dulS5cuUybIuNjVWjRo20YcMGh82fERs3blT37t0Nawu4uLhozpw5ypcvn4mdAcgowj7uS8OGDTVmzBhDLTExUW3btk3zCroZVq5cqRYtWhheFyj9bzGe7du3q3Xr1g6df968eZo7d66h1r9/f/n6+jp0XgAAkLaCBQuqf//+htrcuXMdfndi69attWPHDpsFAa9fv64WLVooNDTUofOnV1RUlNq1a6fExERDfezYsWrQoIFJXQF4UC6WzLQ0KJyCxWLRyy+/rO+//95Q9/Hx0dKlS9WwYUNzGtP/bst75plnlJSUZKg3btxY8+bNc/g305GRkWrYsKGuX7+eWsuVK5cOHTokPz8/h84NAADuLCYmRuXKldO1a9dSazlz5tTGjRsVGBjo0LkvXbqkZ5991uZZeA8PD82fP19t27Z16Px3s2HDBrVp00ZxcXGG+oABA/Ttt99y+z6QiXFlH/fNxcVF33zzjc0HU1xcnJo3b27zrPrDsmHDBj377LM2Qb9jx45asWKFw4P+wYMH1aJFC0PQl6RJkyYR9AEAMJm/v7++++47Q+369etq3ry5Dh065NC58+XLp+XLl9ssdpyUlKTnnntOGzdudOj8d7J48WI1b97cJui3a9dOEydOJOgDmRxhHxni5uamn376SY0aNTLUExIS1KFDB40bN+6hvpZv165datu2rc3tZ926ddMvv/wiT09Ph86/bds21a1bV+fPnzfUu3fvri5dujh0bgAAkD5dunRRt27dDLXz58+rTp06CgsLc+jcXl5e+vXXX23mT0hIUJs2bbRr1y6Hzv9fKSkpGjdunDp27KiEhATDtkaNGumnn36Sm5vbQ+sHgGNwGz8eSHx8vLp27aqFCxfabGvevLlmz56tAgUKOLSHY8eOqVatWjbvzO3du7emTp1q875be5szZ4769u2r+Ph4Q71Ro0ZasWKFYUEgAABgroSEBD399NNat26doe7t7a2pU6fahHF7S0lJUd++fTVjxgxDvVChQgoLC9Pjjz/u0PnPnz+v7t27a9WqVTbbOnTooLlz58rb29uhPQB4OLiyjwfi7e2tefPmqU+fPjbbQkNDVbVqVYcuPnPz5k21a9fOJui3b99eU6ZMcWjQj4uLU48ePdS9e3eboB8cHKxFixYR9AEAcDJeXl5atGiRgoODDfX4+Hh1795dPXr0sLmt3Z5cXV01efJktWvXzlA/e/as2rdvr5s3bzps7tDQUFWrVi3NoN+3b1/NmzePoA9kIYR9PDA3NzdNmTJFo0ePtgnXp0+fVosWLfTMM8/o9OnTdp3XYrGoX79+io6ONtQbNGjg0NvPLBaLFi5cqEqVKmn27Nk221u0aKF169bZvGoHAAA4h1y5cmndunVq3ry5zbbZs2erUqVKWrhwoRx1A6y7u7t+/vln1a9f31DfvXu3+vfvb/d5T506pU6dOqlFixY252Ourq4aM2aMJk+ezK37QBbDbfywq/Xr16tLly4277eX/rfi7fDhwzVw4EDlyJHjgeeaOHGiBg0aZKhVqFBB27ZtU+7cuR/4+GnZs2eP3nzzTf3xxx9pbn/ppZc0ceJEubu7O2R+AABgP0lJSRo0aJDNG4b+1bRpU33xxReqVKmSQ+a/evWqateurf379xvqEydO1MCBAx/4+Ddu3NA333yj0aNH2ywgLEl+fn76+eefTX2TEgDHIezD7s6ePatu3bppzZo1aW4vUKCA3nzzTb3yyivKmTNnhuaIiopSSEiIbt++nVrLlSuXIiIiVKZMmQwd8252796tDz/8MM21Cf6de8qUKXruuefsPjcAAHCsX3/9Vf369TO8lu+/OnbsqA8++EABAQF2n/vQoUMKDg42PDrg7u6u8PBwVatWLUPHjIuL03fffafPP/9cFy5cSHOfJk2aaM6cOSpUqFCG5gDg/Aj7cIiUlBTNnDlTb731li5evJjmPvnz51ffvn3Vu3dvPfHEE+k+dkJCgoKDg7Vnzx5DffHixXZ9T21SUpKWLFmiyZMn3/GLC0lq2LChfvjhB5UoUcJucwMAgIfr2LFj6t27tzZs2HDHfZo0aaL+/furbdu28vDwsNvcixcvVvv27Q21ypUra+fOnff1RqEjR45oxowZmjJlii5dupTmPvnz59enn36qXr16OXwRYwDmIuzDoS5cuKB33nlH06dPv+t+9evX14svvqg2bdooT548d913+PDhGjNmjKH2zjvvaNy4cQ/arlJSUrR9+3YtXLhQc+bMsVn4778KFy6sL774Qs899xzvoQUAIAuwWCz69ddf9cYbb+jMmTN33K9QoULq1q2bOnTooJo1a9olNL/77rv6+OOPDbXhw4fro48+uuvPXblyRUuXLtX06dO1adOmu+7bp08fffzxx8qfP/8D9wvA+RH28VBERERo1KhRWr58+V33c3NzU926ddWyZUu1bNlS5cuXNwTpnTt3qmbNmkpOTk6tVa1aVTt27Livb77/KyYmRps3b9a6deu0ZMmSNNcb+K88efJoyJAhev311+Xj45OhOQEAgPOKi4vTl19+qfHjx+vKlSt33dff319t2rRR48aNVa9ePfn5+WVozsTERNWoUUO7d+9Orbm5uWn79u2qXr16as1isejAgQNavny5li9fri1bthjOi9LSsmVLjRgxwuYNBACyNsI+HqrIyEh9+OGHWrp0abr2z5Mnj6pXr67g4GAFBQWpR48ehlfSeHh4KCIiQlWqVLnnsSwWi/755x/t27dP+/bt0969exUWFqYjR46kq5d8+fLptdde06uvvuqwBQABAIDzuHr1qiZOnKivvvrqjrfFW3viiSdUq1YtVapUSRUrVlTFihX12GOPpesuwN27d6t69eqGNYly5MihH3/8UZGRkYqIiNDOnTvv+QXEv9q2bav3339fQUFB6dofQNZC2Icp9u3bp+nTp2vWrFl3fKY/vZ555hn5+PjIx8dHLi4uSkxMVFJSkhITE3X58mXFxsYqJiZGsbGxSkpKuu/j161bV/3791enTp149ywAAI+gW7du6bffftPkyZO1devW+/55Dw8P+fn5yd/fX35+fsqbN688PT3l4eEhT09PWSwWxcXFKS4uTvPnz3+gXvPnz68ePXroxRdfVMWKFR/oWAAyN8I+TJWQkKClS5dq5syZWrt2rRISEsxuSZJUsWJFdejQQc899xwflAAAINW+ffv0yy+/aNGiRdq3b5/Z7UiSvLy81LhxY/Xq1Utt2rSRl5eX2S0BcAKEfTiNGzduaO3atVq+fLlWrFihU6dOPbS5fXx8VLduXTVs2FDt2rVzyOv7AABA1nL48GEtXrxYGzZs0JYtWwyvz3O0okWL6umnn1arVq3UqFEj5ciR46HNDSBzIOzDKVksFp06dUrh4eFat26dvvvuO7sdO3fu3KpYsaIqVKigypUrq27duqpSpYrc3NzsNgcAAHi0JCcna/fu3dqyZYv27Nmj/fv3a9++fbp69ard5njllVfUqFEjBQcHq2jRorwNCMBduZvdAJAWFxcXFStWTMWKFdPx48dtto8bN0558+bV1atXU59xi4uLk4uLS+rzb56ensqZM2fq83H+/v4qUqSI/P39+XAEAAB25ebmpsDAQAUGBqbWLBaLYmJidPr06dT1g2JiYnT9+nUlJiamrjNksVhS1x/y8fFR7ty5dfnyZb377ruGOUqWLKkOHTo87L8agEyKK/twagkJCSpZsqThXbft2rXTokWLTOwKAADA8dq1a6clS5akjgsXLqy///6bZ/IBpIur2Q0AdzN37lxD0Jekt99+26RuAAAAHp533nnHMD5z5ozmzp1rUjcAMhvCPpza1KlTDeOGDRuqZs2aJnUDAADw8NSsWVMNGjQw1KZNm2ZSNwAyG8I+nNahQ4e0fft2Q+21114zqRsAAICH7/XXXzeMw8LCdOjQIZO6AZCZEPbhtH788UfDuGDBgmrRooVJ3QAAADx8LVq0kK+vr6E2a9Ysk7oBkJkQ9uGUUlJSbD7IunXrJg8PD5M6AgAAePg8PDzUrVs3Q23WrFlKSUkxqSMAmQVhH04pMjJSp0+fNtR69uxpUjcAAADm6dWrl2F86tQpRUVFmdMMgEyDsA+nFBoaahiXLVtWAQEBJnUDAABgnoCAAJUtW9ZQsz5XAgBrhH04JesPsObNm5vUCQAAgPmaNWtmGBP2AdwLYR9O5/Llyzar8BP2AQDAo8z6XGj79u26cuWKOc0AyBQI+3A627dvNyw64+Xlpfr165vYEQAAgLkaNGggLy+v1HFycrLCwsJM7AiAsyPsw+ns2rXLMA4KClL27NnNaQYAAMAJZM+eXYGBgYba7t27TeoGQGZA2IfTsQ77VatWNaUPAAAAZ2J9TmR9zgQA/0XYh9Mh7AMAANgi7AO4H4R9OJXExEQdOXLEUKtSpYpJ3QAAADgP67B/+PBhJSUlmdMMAKdH2IdTOXfunCwWi6FWqlQpk7oBAABwHiVLljSMLRaLzp07Z1I3AJwdYR9OJSYmxjD28PBQvnz5TOoGAADAeeTLl08eHh6GmvW5EwD8i7APpxIbG2sY+/n5ycXFxaRuAAAAnIerq6sKFSpkqFmfOwHAvwj7cCrWt6JZf6ABAAA8yqzPjc6ePWtSJwCcHWEfTsV6kZls2bKZ1AkAAIDzsT43un37tkmdAHB2hH04NevF+gAAAB5lnBsBSC/CPgAAAAAAWQxhH04tJSXF7BYAAACcBlf2AaQXYR9OJVeuXIbx5cuXTeoEAADA+Vy6dMkw9vHxMakTAM6OsA+nUrhwYcP4zJkzJnUCAADgfKzPjYoUKWJSJwCcHWEfTsXf398wvnr1qm7evGlSNwAAAM7jxo0bunbtmqFmfe4EAP8i7MOpWF/Zl6RTp06Z0AkAAIBzOX36tE2NsA/gTgj7cCo+Pj7Knz+/oRYdHW1SNwAAAM5j9+7dhnH+/Pl5Zh/AHRH24XSCgoIM4507d5rUCQAAgPOwPieqXr26SZ0AyAwI+3A6wcHBhnFERIRJnQAAADgP63Mi63MmAPgvwj6cjvW31BEREUpKSjKpGwAAAPMlJiZyZR/AfSHsw+nUrFnTMI6Li9OGDRvMaQYAAMAJbNiwQXFxcYZaSEiISd0AyAwI+3A6fn5+qlGjhqG2aNEik7oBAAAwn/W5UEhIiPz8/EzqBkBm4G52A0Ba2rdvr/Dw8NTxkiVL9M0338jV9dH+furq1auKiorS8ePHFRMTowsXLsjNzU3e3t7y9/dXQECAqlSpwsq8AIBMIS4uTrt371Z0dLRiYmIUHx+v5ORkFShQQP7+/ipRooQCAwOVO3dus1s1VUpKipYsWWKotW/f3qRuAGQWLhaLxWJ2E4C1Q4cOqVy5coZaaGiomjVrZlJH5rh165ZWr16tpUuXavPmzTp8+PA9f8bT01Nt27bVgAED9OSTTz6ELgEAuD/r16/XpEmTtGTJEiUmJt5z/zJlyqhevXpq27atmjRpomzZsj2ELp3HqlWr1Lx5c0Pt0KFDKlOmjEkdAcgMCPtwWgEBAdqzZ0/quEWLFlqxYoWJHT0cFotFGzZs0Pfff6/ff/9dN2/ezPCxOnfurG+//Vb58uWzY4cAAGTMxYsXNXDgQP3yyy8ZPkb27NnVqlUrvfTSS2rYsKFcXFzs2KFzatGihUJDQ1PHlStXVnR0tIkdAcgMCPtwWpMnT9ZLL71kqB08eFBly5Y1qSPHio+P17Rp0/TNN9/o0KFDdjtupUqVtHHjRgI/AMBUly5dUv369bVv3z67HbNcuXJ65ZVX1KdPH3l7e9vtuM7k4MGDKl++vKE2efJk9evXz6SOAGQWhH04rZs3b6po0aK6fPlyaq1v376aMmWKiV3ZX0JCgqZNm6axY8fqzJkz99zf09NT5cqVU5EiReTr6ytJunHjhg4fPqwDBw7o9u3bNj/TuHFjrV69+pG4+gEAcD4Wi0VPPfWU1q5da7PN3d1d5cuXV5kyZZQjRw5J0vnz53X69GkdPHgwXbf5Fy5cWMOGDVOfPn3k5eVl9/7N1LdvX02bNi11nC9fPp08eVLZs2c3sSsAmQFhH07tnXfe0SeffJI6dnV1VXR0tCpWrGhiV/ZhsVi0cOFCvfbaazp58uQd93N1dVW9evXUpk0b1a9fX5UrV77jicylS5c0e/ZsjRo1yvAliSStXLnS5nk/AAAehpUrV+rpp5821PLmzauRI0eqW7dud7z7LCEhQXv27NGmTZtS169JSUm54zyPPfaYvvzyS3Xo0CFLfMG9d+9eValSxfB3fueddzRu3DgTuwKQWRD24dROnz6t0qVLKz4+PrXWtGlThYaGZuoP8b/++ksDBw7UqlWr7rhPuXLl9NJLL6lr164qUKDAfR3/+PHjql27tmJiYlJrbdq0sVnJFwCAh6FNmzZatmxZ6tjf31/btm1TiRIl7us4Fy5c0Ny5c/X999/r4MGDd9yvefPmmjhxokqXLp3Rlk1nsVjUrFkzrV69OrWWLVs2HTlyREWKFDGxMwCZxaP9HjM4vSJFimjo0KGG2h9//JFpF+pLSUnR+PHjValSpTsG/caNG2vdunXav3+/Bg8efN9BX5JKlCihESNGGGr/fZUhAAAPk/Vn0MiRI+876EtSgQIFNHjwYO3fv19r165Vo0aN0twvNDRUlSpV0vjx4+96J4AzW758uSHoS9LQoUMJ+gDSjSv7cHrXr19XmTJlDFepixQpot27dyt//vwmdnZ/YmJi1KtXL/3xxx9pbq9Xr54++ugjNWjQwC7z7dmzRwEBAYZafHx8lnuWEQDg3BISEmwWz9uzZ48qVapkl+Nv3LhR77//vjZv3pzm9mbNmumHH36Qv7+/XeZ7GC5evKiAgADDWj6FCxfW4cOHU9c1AIB74co+nF7OnDltnk07ffq0+vXrp8zyXdXq1asVEBCQZtAvXLiwfvnlF23cuNFuQV+S4dEHSfLw8JCnp6fdjg8AQHp4enrK3d3dULP+jHoQDRo00MaNG/Xzzz+nGehXrVqlgIAAm6vkzspisahv3742i/aOHTuWoA/gvhD2kSl0795dTZo0MdQWLlxoWJ3WGVksFk2YMEHNmzfXhQsXbLYPHjxYBw8e1HPPPWf3NQi2bt1qGBcuXDhTr3MAAMicXFxcbG49t/6MssccnTt31sGDBzV48GCb7RcuXFCLFi309ddfO/2FgmnTpmnRokWGWpMmTdS9e3eTOgKQWRH2kSm4urrqxx9/tLltf+DAgdq0aZNJXd1dYmKi+vXrpyFDhtg8L1i4cGGtWbNG48ePl4+Pj93ntlgs+vHHHw21xo0b230eAADSw/rZ+pkzZzokdOfKlUvjx4/X6tWrVbhwYcO25ORkDR48WP3790/X6/zMsHHjRg0cONBQK1CggGbNmiVXV07bAdwffmsg0yhcuLBmzJhhqCUmJqpt27bat2+fSV2l7ebNm2rdunWadx60bdtW0dHRDg3fCxYs0K5du2zmBQDADNafQbt27dLChQsdNl+TJk0UHR2d5mff1KlT1aZNG928edNh82fE3r171bZtW5svIqZPn56p1hsA4DxYoA+ZzpAhQzRhwgRDrWjRotq2bZuKFStmUlf/59q1a2rVqlWaCwWNHDlS77//vkO/nT937pwqV66sc+fOpdbKlSunvXv3ys3NzWHzAgBwJ8nJyapYsaIOHTqUWitUqJD27NkjX19fh82bkpKiDz/8UKNGjbLZVr9+ff3+++8OucPufp08eVK1a9fWqVOnDPXBgwdr/Pjx5jQFINPjyj4ynS+++ELt2rUz1E6dOqV69erp8OHD5jT1/12+fFlPPfWUTdDPli2b5s+frxEjRjg06CcmJqpbt26GoC9JI0aMIOgDAEzj5uamkSNHGmpnz55V165dHXpLvaurq0aOHKl58+YpW7Zshm2bNm1SkyZNdPnyZYfNnx6HDx9W3bp1bYJ+u3bt9MUXX5jUFYCsgCv7yJRu3bqlxo0bKywszFD39fXVypUrFRQU9NB7unHjhpo0aaLt27cb6nnz5lVoaKhq1Kjh0PlTUlLUrVs3/fzzz4Z6q1attHTpUhbnAwCYymKxqHXr1lq+fLmh3qVLF82ePdvhz6SHh4erWbNmunLliqFeq1YtrVmzRtmzZ3fo/GmJjIxMcxHf2rVra82aNTZfUADA/SDsI9O6ePGi6tWrpwMHDhjqPj4+mjt3rlq3bv3QeklKSlLbtm21cuVKQ71gwYKpr91zpISEBPXq1Uu//PKLzfx79uxRwYIFHTo/AADpcfbsWQUEBNjcgfb888/rhx9+kJeXl0Pn3717t5566imdP3/eUH/66ae1ePFieXh4OHT+/1q2bJm6dOmi69evG+rly5fX5s2bbRYlBoD7xW38yLTy58+vjRs3qnr16oZ6XFyc2rRpo6FDhyopKcnhfaSkpOjFF1+0CfqFCxfWpk2bHB70L1y4oGbNmtkE/ezZs2vp0qUEfQCA0yhUqJCWLl1qcxX9559/VvPmzXXx4kWHzl+lShVt2rTJZqX+FStWqE+fPjZvz3GEpKQkvfnmm2rTpo1N0A8ODtamTZsI+gDsgrCPTM3X11fr1q2zeaWPJH3++edq0KCBjh075tAexowZo9mzZxtq+fLl0+rVq1W2bFmHzr1+/XpVqVJFGzduNNTd3d21cOFChYSEOHR+AADuV0hIiBYsWCB3d3dDfcOGDapSpYo2bNjg0PnLlSun1atXK2/evIb6rFmzNHbsWIfOfezYMdWvXz/NZ/EbN26stWvXqkCBAg7tAcCjg7CPTM/Hx0crVqxQ586dbbaFhYWpYsWK+vjjjx2yANDKlSs1YsQIQy1btmz6/fffVaFCBbvP96+4uDi98cYbaty4sc6cOWPYljNnTi1fvlzNmjVz2PwAADyI5s2b6/fff1fOnDkN9dOnT6tRo0Z64403FBcX57D5K1SooOXLl9s8E//BBx8oNDTU7vMlJiZq3Lhxqlixos3aPtL/HmNYvny5U7wZAEDWwTP7yDIsFou+++47vf7662kG+/Lly+vbb7/Vk08+aZf5jh07pqCgIMMqvq6urlq6dKlatmxplzmsWSwW/fLLL3rzzTdtQr4k+fv7a8WKFapatapD5gcAwJ7+/PNPtWzZUjExMTbbChcurM8//1ydO3d22CKzv//+u9q2bWu4fT9v3ryKjIzU448/bpc51q9fr1deecVmjSFJ8vT01FdffaUBAwawkC4Au+PKPrIMFxcXvfLKK9q2bZtKlixps/3AgQNq1KiRGjVqZHPb+/1KTExUp06dbF7X8/HHHzsk6KekpGjRokUKCgpSly5d0gz6TZs2VVRUFEEfAJBpVKtWTVFRUXrqqadstp05c0ZdunRRUFCQFi9e7JDn6Vu1aqVx48YZapcvX1anTp0e+I7ADRs2pJ53pBX0S5YsqbCwML388ssEfQAOQdhHlhMUFKSoqCi98soraX54rl+/Xg0bNlSDBg20bNky3b59+77nGD16tKKiogy1jh076s0338xw32m5ceOGpk+frmrVqqlDhw76888/bfbx9PTUZ599ppUrV8rPz8+u8wMA4Gh+fn4KDQ3VZ599Jk9PT5vtf/75p9q3b69q1app+vTpunHjhl3nHzp0qDp06GCoRUVFafTo0fd9rNu3b2vZsmVq0KCBnnzySa1fv95mn38vTkRFRSkwMDDDfQPAvXAbP7K0iIgIDRgwQJGRkXfcp3DhwurZs6d69+6t0qVL3/OYO3fuVM2aNZWcnJxaK1eunMLDw+3yrF1KSooiIiI0a9YszZkzR9euXbvjvs2bN9fXX3+tJ5544oHnBQDAbIcPH9agQYO0atWqO+6TK1cudevWTT169FBwcLBcXR/82tW1a9cUEhKigwcPptbc3Ny0Y8cOBQUF3fPn//rrL82YMUMzZ85M85GEfwUFBen777+3eZMQADgCYR9ZXnJysqZMmaIxY8bo9OnTd903MDBQLVu2VKtWrVS9enWbE4iEhAQFBgZq//79qTV3d3eFh4erWrVqGe7x5s2b2rZtmxYvXqxFixaleZv+f5UtW1bjxo1Tu3btuPUPAJClWCwWLV68WO+++64OHTp0132LFCmidu3aqV27dqpdu7bNK/3uR1RUlEJCQgx3/FWsWFGRkZHy8vIy7PvvF/PLly/X8uXLbe72S6vP4cOHq2/fvnJzc8twjwBwPwj7eGTEx8frhx9+0Lhx43Ty5Ml77u/r66s6deqoRo0aCg4OVvXq1TVx4kR98MEHhv1GjhxpsyL/3SQnJ+vo0aPat2+ftm/frs2bN2vnzp1KSkq658+WL19e77//vp599llOFgAAWVpycrLmzZunjz76KM1n3q15eHioevXqql+/vkJCQlSxYkWVKlXqvj4vR44cqVGjRhlqH374oV599VXt3LlT4eHhioiI0NatW3X+/Pl7Hq9YsWJ699131bt3b5svDADA0Qj7eOQkJiZq9uzZmjJlisLDwx/4eJMmTVL+/Pnl4+MjNzc3JSUlKTExUYmJibp69apiY2MVGxurmJgY/f333zp48KASEhLSfXwXFxe1aNFC/fv3V8uWLQn5AIBHSnJyspYvX67Jkydr5cqVup9TVy8vL5UrV04lS5aUv7+//Pz85Ofnp9y5c8vT01Oenp7y8PBQcnKy4uLidPHiRQ0YMOCBe65Ro4b69eun7t27p7kOAQA8DIR9PNL27Nmj6dOna/bs2bp06ZLZ7RiULVtWzz77rF588UUVL17c7HYAADDdiRMnNH36dM2bN++et/g/bPny5VP37t314osvqnLlyma3AwCEfUCSkpKStGXLltRn7/67QM/D4ubmpqCgILVt21bt27dX+fLlH3oPAABkFgcOHNDChQu1dOlSRUZGGhbOfVjKlSunli1bqmXLlqpbt648PDweeg8AcCeEfSANR48e1ZYtWxQREaGIiAi73O5vzdfXV5UqVVKdOnVUr1491apVyy6r+QMA8KiJi4tTWFiYNm3apG3btmnv3r3peqb+fv27jk9wcLDq1q2rUqVK2X0OALAXwj5wD9HR0apSpYpNvUOHDrpy5Yri4uIUFxena9euyWKxpD7/5+npqRw5cqQ+H+jn5yd/f3+VL19eFStWlK+vrwl/GwAAHg3nz5/Xvn37dODAAcXExKSuoRMbG6sbN24oMTExdZ0dFxcX5cqVSz4+PvLx8VGePHm0cOFCm2NGR0dziz6ATIOwD9xDt27dNHfu3NRx/vz5deLECeXIkcPErgAAgCNdv35dxYsXN6zp061bN82ePdvErgAg/VzvvQvw6Dp27Jh++eUXQ23QoEEEfQAAsricOXNq0KBBhtrPP/+s48ePm9MQANwnwj5wF1OmTDEs+JMjRw698sorJnYEAAAeloEDByp79uyp4+TkZE2ZMsXEjgAg/Qj7wB0kJyfb3Kr34osvKn/+/CZ1BAAAHqb8+fPrxRdfNNRmz55tysr/AHC/CPvAHaxdu1anT5821Kw/8AEAQNbWp08fw/jUqVNat26dSd0AQPoR9oE7mDlzpmEcGBiogIAAc5oBAACmCAgIULVq1Qw163MEAHBGhH0gDQkJCVqyZImh1qtXL3OaAQAAprI+B1i8eLESEhLMaQYA0omwD6Rhy5YtunnzZurYxcVFnTt3NrEjAABgls6dO8vFxSV1fPPmTW3dutXEjgDg3gj7QBpCQ0MN4+DgYPn6+prUDQAAMFPBggVVvXp1Q836XAEAnA1hH0iD9Qd48+bNTeoEAAA4A+tzAcI+AGdH2AesnDt3Tnv37jXUmjVrZlI3AADAGVifC+zZs0fnz583qRsAuDfCPmBl165dhnH27NlVo0YNc5oBAABOISQkRNmyZTPUrM8ZAMCZEPYBK9Yf3AEBAXJ3dzenGQAA4BTc3d1tXsFL2P9/7N1nXBTX+zbwa+kIKAoo2LuCFRWwgcZu7C12jcaaoiaWxBJLLPFnSWyJ3cRu7CXG3ivYUcSOFVBBQZDOnudFHvlndpa+u7Mr1/fz4cWcmT3nPrDLnnvmzBkiMmZM9ok0aH5x16xZU5E4iIiIyLhojgmY7BORMWOyT6Thxo0bkm0m+0RERATIxwSaYwYiImPCZJ9Iw/PnzyXblStXVigSIiIiMiaaYwLNMQMRkTFhsk/0H3FxcXj37p2kzM3NTaFoiIiIyJhojgmio6MRHx+vUDRERBljsk/0Hy9fvpSVubq6KhAJERERGRttYwJtYwciImPAZJ/oP8LDwyXbtra2cHBwUCgaIiIiMib58+eHjY2NpCwsLEyhaIiIMsZkn+g/3r9/L9nOnz8/VCqVQtEQERGRMVGpVChQoICkTHPsQERkLJjsE2WAiT4RERFlhGMFIjJWTPaJiIiIiIiIPjJM9on+g2fniYiIKDs4diAiY8Vkn+g/rK2tJdsxMTEKRUJERETGRgiB2NhYSZmVlZVC0RARZYzJPtF/aD4/9/3790z4iYiICMC/FwE0F+QrWrSoQtEQEWWMyT7Rf2gm+wAfqUNERET/0jYm0DZ2ICIyBkz2if4jX758skfqvHjxQqFoiIiIyJiEhoZKth0dHWFra6tQNEREGWOyT6ShRIkSku3g4GCFIiEiIiJjcvv2bcl28eLFFYqEiChzTPaJNNSsWVOyffnyZWUCISIiIqOiOSbw9PRUKBIioswx2SfSUKdOHck2k30iIiIC5GMCzTEDEZExYbJPpMHLy0uyHRQUlOdX5E9MTERCQgKEEEqHoojk5GQkJCQgNTVV6VAUoVarkZCQgKSkJKVDUYQQAgkJCXn6M5CUlISEhASo1WqlQ1FEamoqEhISkJKSonQoivjwGUhMTFQ6FEXFxMTIpvFrjhmIiIwJk30iDTVr1oSFhUXatlqtxuHDhxWMSBnnzp3DgAEDULJkSdjY2MDW1haOjo5o164d1q1b99EPep89e4bvv/8eNWvWhLW1NWxtbWFjY4P69etjxowZePPmjdIh6lV8fDwWL16MZs2awc7ODra2trC2tkalSpXw9ddfIygoSOkQ9UoIgX379qF79+4oUqQIbG1tYWtriyJFiqB79+7Yt2/fR5/4BwUF4euvv0alSpXSPgN2dnZo1qwZFi9ejPj4eKVD1Ks3b95gxowZqF+/ftr/QCsrK9SsWRPff/89nj17pnSIepWSkoJ169ahXbt2aYvQ2djYoGTJkhgwYADOnTundIgGd+jQIckJLwsLC9SoUUPBiIiIMiGISKZp06YCQNpP7969lQ7JYJ49eybat28v6b+2H3d3d3Hy5Emlw9W5xMREMX78eGFtbZ1h/x0dHcXChQuFWq1WOmSd++uvv0SxYsUy7L+ZmZn44osvRFRUlNLh6tzNmzdF/fr1M/0M1K9fX9y8eVPpcHUuKipKfPHFF8LMzCzD/hcrVkz89ddfSoerc2q1WixcuFA4Ojpm2H9ra2sxfvx4kZiYqHTIOnfy5Enh7u6e6Wegffv24vnz50qHazC9evWS9L9Zs2ZKh0RElCEm+0RaLFmyRPKFXqBAAZGUlKR0WHp3+fJl4ebmlukA778J36hRo8TZs2fFnTt3REpKitJdyJXIyEjRuHHjLPcfgOjTp49ISEhQOnSdSE1NFePHj89W/6tUqSJCQkKUDl1n/v77b2Fvb5/l/tvb24u///5b6bB1JiQkRHh4eGTrPTB+/HiRmpqqdOg6ER8fL3r37p2t/n/yySciMjJS6dBzJTk5Wdy5c0ecPXtWjBo1KtMTPf/9cXNzE5cvX1a6C3qXmJgoChQoIOn7b7/9pnRYREQZUgnxkc9DJMqBFy9eyB6ns3fvXrRr106hiPTvxo0baNiwIWJjY3Nch42NDTw9PdG9e3f07t0bzs7OOoxQv96/fw9fX19cu3Yt269t164ddu3aBXNzcz1EZjijRo3CwoULs/26YsWKISAgAEWLFtVDVIazf/9+tG/fPtv3pZuZmWHv3r1o06aNniIzjNDQUHh7e+PFixfZfu3IkSOxYMEC3QdlQKmpqejUqRP27duX7dd6enrizJkzsLOz00Nk+hEREYGNGzfir7/+wrVr15CQkJDjuuzt7XH27NmPekr7vn370L59e0nZ8+fPUaxYMYUiIiLKAqXPNhAZKx8fH8kZ/ObNmysdkt68fPlSlCxZUus01cyms6f3Y2trK+bMmSOSk5OV7l6mUlNTRefOnWV9sLCwEMOHDxenTp0S9+/fF4cOHRKfffaZ1v5+//33SncjV1asWKG1X02bNhU7d+4U9+/fF/7+/mLChAnCzs5OdpyXl5eIi4tTuhs5FhQUJBwcHGT9KlOmjFi6dKkICgoSQUFBYunSpaJMmTKy4xwcHERQUJDS3cixuLg44eXlJeuXnZ2dmDBhgvD39xf3798XO3fulN3m9OFnxYoVSncjV8aNG6e1X5999pk4dOiQuH//vjh16pQYNmyYsLCwkB3XpUsXk5jhkJycLP73v/8JW1vbHP1vt7a2FlZWVrLykiVLipcvXyrdPb1p1qyZpL8+Pj5Kh0RElCkm+0TpWL16tWwwc+vWLaXD0ouOHTvmaNCXlZ/mzZuL+Ph4pbuYoeXLl2udmnrp0iWtx6c31fv48eMGjlw37t27Jxu8m5ubi2XLlmldk+DRo0eiSpUqsv6PGzdOgehzLzk5WdSoUUPWn969e2t976Y31btmzZomcXJLm7Fjx8r6U6VKFfHo0SPZsWq1WixbtkyYm5tLjreyshL3799XIPrcO3bsmKz/Gd2icenSJa23PBn7CY/4+HjRvHlzvf2/79Spk9Jd1IubN2/K+rpmzRqlwyIiyhSTfaJ0xMfHC2dnZ8mX+6BBg5QOS+f279+vt4Hfh59u3boZ7UJ2r1+/FoUKFZLE6+joKO7evZvh606ePCm7uufu7m5yi3Wp1WrRsmVL2d9s7dq1Gb4uIiJClC1bVvIaCwsLk7y6vXDhQln/e/bsmeF7Vq1Wi549e8pet2jRIgNGrhu3bt2SvZfLli0rIiIiMnzd2rVrZf1v1aqV0X7W05OYmCgqV64sey+fOnUqw9fdvXtXtohfoUKFxOvXrw0Uefao1WrRrVs3vf+//+eff5Tuqs4NGjRI0kcXFxejP4lNRCQEk32iDE2aNEk2ALxz547SYenM27dvZYmuth+VSiXq1asnJk6cKHbt2iUeP34sEhISRKtWrWTHtWnTRqhUKlkdBw4cULq7Wo0cOVIW6/79+7P02gULFshea2oLNh08eFDWh6+//jpLr71586awtLSUvLZNmzZ6jli3oqOjZYtuVa1aNUu3JMTFxYmqVatKXlugQAERHR1tgMh159NPP5X0wdLSMstPGfj6669l759Dhw7pOWLd0lyQFYBYuHBhll6r7WTpqFGj9Bxxzhw4cEDr/3Zt/7Nbt24tEhISxOPHj8WuXbvExIkTRb169bT+b9f8KVSokHj79q3S3dWZ4OBg2cmwH3/8UemwiIiyhMk+UQZevHghu2e9bdu2SoeVa2q1WmzatCnTRL9u3bpi+fLlIiwsTGs9jx49EjY2NpLXfPXVV+L06dMif/78kvJPPvnEwL3M3Nu3b2X3n3/22WdZfn1KSoqoXbu25PXly5c3ift2P9Cc0lu0aFHx7t27LL9e2+r9wcHBeoxYt3799VdZ/GfOnMny60+fPi17/YIFC/QYsW7dvn1bFv+ECROy/Pro6GjZdPYWLVroMWLdSklJEeXKlZPEX6dOnWw9WUTzarm9vb1RPpJS80kj+fPnF6dPnxZffvmlpNzGxkbr7RtCCBEWFiaWL18u6tatm2nCv3nzZpOb5aFNmzZtJH2ztrYWoaGhSodFRJQlTPaJMvHDDz/IBjKHDx9WOqwce/LkSboLbH24qjdo0CBx7dq1LNU3ZswYyevz5csn3rx5I9asWSMpt7KyMrrHF86bN08So5mZWbYfI6ftXt89e/boJ2Adu3Xrliz27N5zHBsbKwoWLCipY9iwYXqKWLdSUlJki+3l5J5jzTUvypQpYzKPoRw2bJgsSYuNjc1WHdrWvDCV9U327Nkjiz27a2+EhITIHlU3b948PUWcM4mJibJZOGvWrBFv3rwR+fLlk5SPHTs2S3VevXpVDBo0SFbvf3+aNm0qnjx5oufe6c+hQ4dkfRo/frzSYRERZRmTfaJMREdHiyJFisiu3sbExCgdWrZt2bJFNmX5vz+NGjUSjx8/zladT58+lS3UtXr1avHmzRtZ/cZ2C4TmomzdunXLdh1qtVpWT9euXfUQre5pnshydnbO0Yr6mlf3HR0dje7EjjanTp2SvUezc1X/A21X90+fPq2HiHVL23PDs3NV/4O4uDjZ+iamkhB16dJFEnfNmjVzdDW6a9eusnqMyZ07d2Tv0bdv34pVq1ZJyszNzcXTp0+zVffjx4+Fn59fut8rjo6O4q+//tJTz/QnJiZGlC9fXtKXIkWKZGvmExGR0sxARBnKnz8/ZsyYISl78OABRo4cqVBE2ff+/Xt8/vnn6NGjB6Kjo7UeY29vj4MHD6JUqVLZqrtEiRJo166dpGzXrl2wtraWHWtMz6EPCQnBjRs3JGXDhw/Pdj0qlQpffvmlpOzAgQOIj4/PVXyGsGvXLsn2gAEDYGtrm+16NH9vUVFROHnyZG5CMwjN/letWhUNGjTIdj0NGzZE1apVM6zbGJ08eVL2/2DYsGHZrsfW1hYDBgyQlJlC/+Pj43HgwAFJ2fDhw6FSqbJdl+b/gOvXryMkJCRX8emSmZl8uGdtbS37O7Vr1w4lSpTIVt2lSpXCoUOHYGdnp3V/VFQUunfvjs8//xzv37/PVt1KGjFiBB48eCApmzlzJhwcHBSKiIgo+5jsE2XBgAEDULduXUnZmjVrsG3bNoUiyronT56gQYMGWLt2bYbHtW/fHjY2Njlqo3PnzpLtI0eOICAgQHacs7NzjurXh927d0u2nZ2d4efnl6O6OnToIEkQ3r9/j2PHjuUmPL27e/cu7t69Kynr0qVLjuoqUaIEvLy8JGWav19jI4TAnj17JGVdunTJUaKnUqlknwFj7z8AWf+9vb2zneh9oNn/O3fuyN5fxubYsWOIi4tL2zYzM0PHjh1zVJevry+cnJwkZZq/XyW5uLjIyvz9/XH06FFJWU7/B9jY2KB9+/YZHrN27Vo0bNgQT58+zVEbhrR161b88ccfkrK6devi888/VyYgIqIcYrJPlAXm5ubYsGED7O3tJeWDBw9GUFCQQlFl7ty5c/D29pZdwQbkV9lzOsgFgLZt20rqS0xMxLJlyyTHVK5cGY6OjjluQ9dOnz4t2W7Xrl2OZx4UKVJEdkX4zJkzOY7NEDT77+bmJkvYs0Pz/WPs/X/x4oXsymtuPgOdOnWSbIeEhODFixc5rs8QNN8DHTp0yHFd3t7ecHNzk5QZ+3tAs//169dH4cKFc1SXhYWFLNnVrF9Jjo6OqFSpkqRs6dKlSExMTNs2NzdHmzZtctyG5mdA2//T69evw8vLC+fPn89xO/p269YtDBkyRFLm4OCAjRs3GtXsNCKirGCyT5RF5cqVw++//y4pi46ORqtWrYxyUL9161Y0adIEr169kpTnz58fP//8M1JTUyXljRo1ynFbBQsWRPXq1SVlmtND27Ztm+P69eHSpUuS7dz0X9vrNes3Nprx+fn5aZ3qm1Wa/Q8KCjLqKbua/S9QoIDsPZwd1atXR/78+TNsw5jExsbi9u3bkrLGjRvnuD4zMzP4+vpKyoy5/4A8vtz0H4BsZpCx9V/zf7Dm7JMaNWqgYMGCOa5fs/+pqan4+eefZZ+LV69e4ZNPPjHKmXHPnz9H69atZbe3/P777yhbtqxCURER5RyTfaJs6NOnD3r37i0pS29woKQ//vgDPXv2RFJSkqS8UqVKuHz5suzqValSpXJ8ResDb29vyfZ/2zYzM8PgwYNzVb8uhYWFyU7QaMafXZqvv3z5MtRqda7q1CfN2yxy239PT0/JVS+1Wo2rV6/mqk590uy/l5dXrk52mJmZyWZGaLuVxVhcvXpV8v40NzeHp6dnrurUfA/5+/vnqj59UqvVuHLliqRM1/8Dnj9/jrCwsFzVqUtDhgyRvMc1vx9y2/8iRYqgZMmSkrLChQvj8uXLslkFSUlJ6NGjB/78889ctalLUVFRaN26NZ4/fy4p7927N/r06aNQVEREucNknygbVCoVVq5ciXr16knKb968iRYtWiAyMlKhyP7Pb7/9hoEDB8oSzVatWuHixYuoUKECgoODJftq166d63br1KmT7r7evXujYsWKuW5DVzT7b2dnJxuMZpdm/2NiYoxyxgfwb6Jz584dSVlu3wP58uVDlSpVJGWav2djouv+A/L3gCn1v0qVKjlanPG/NPt/584dCCFyVae+vHjxAjExMZKy3L4HKlWqJFukzpjeAxUrVkSvXr3S3a+vz0CFChVw8eJFtGzZUrJPrVZjwIABshlzSoiIiEDLli1x69YtSXm9evWwcuVKhaIiIso9JvtE2WRra4u9e/fKkteAgAD4+vrKrgoY0u+//46vv/5aVv7ll1/i77//TrtnXnOBpHLlyuW67fSmODo6OmLmzJm5rl+XNPtfpkyZXF3VBf69513zCQTPnj3LVZ368vr1a8m9uoB+3gPG2n/AMJ+BvN7/xMREvH79Otf16oNm/21sbGRrDmSXubk5SpcuLSkztvfArFmzUKBAAa379PkZcHR0xN9//y17agEAfPXVV4om/M+ePYOvr69sJk7FihWxb9++XJ8EIyJSEpN9ohxwdnbGgQMHUKRIEUl5cHAwGjRoILsX1hC2bt2qNdH/4YcfsGTJEskUa80BaHYft6dNeic5li1bluMVvvVFH/1XqVSyKazGuuq0Zv8tLCxynegAMJn+A/LYNGPPibze/6JFi8oWMDO2ZPcDbf3PyZMYNGn+LzG2/pcoUUK2eOoHujhRnVH/LSwssGTJEnz//fey13399deK3MMfFBSEBg0ayGa6FClSBAcPHpQ9YYGIyNQw2SfKobJly+LkyZMoXry4pPzp06fw8vLC+vXrDRbLsWPH0KdPH9mU2enTp2PWrFmyQWxoaKhkW7MP2bV+/Xp88cUXsvLevXuje/fuuapbH3Td//Tq0WzHWGjGpS1JywlT6X9ycjIiIiIkZbp4D2jW8fr1ayQnJ+e6Xn3Qx2fA3NwcRYsWzbAdY5GX/wf06NFDtvYMAAwcODDX31uZ9V+lUuHnn3/GTz/9JCkXQqBPnz44fvx4rtrPjnXr1sHb21t2QqZEiRI4efIkypQpY7BYiIj0hck+US5UrlwZ58+fR+XKlSXlcXFx6NevH7744gvJc5z1ISgoCJ06dZIlFVOnTsWkSZO0Xq3SjMnBwSFHbcfHx+Orr75Cv379kJKSIts/cuTIHNWrb7rqvybNevT9t88p9l8el+aK4TmhrY74+Phc16sPfA/k7f6PGDFCVpaSkoJ+/frh66+/zvH7Niv9V6lU+PHHHzF16lRJeVJSEjp27Kj3x9nGxcXhiy++QP/+/WXxVa5cGefOnZN9pxMRmSom+0S5VKJECZw5c0brSsZr1qxBjRo1cPjwYb20HR0djU6dOskWmvryyy8xefLkdF+nOZDLyT2J169fh7e3d4b3Wmqu9mwsEhISJNu6uidTsx7NdowF+y+Py8bGJtf1aqvDVH4Hef09kNf6n9H/5t9++w3e3t64fv16tuvV7H9GJw0mT56M4cOHS8piYmLQuXNnvT3d5vDhw6hRowbWrFkj2+ft7Y0zZ84Y3W1nRES5wWSfSAecnZ1x8uRJDBkyRLbvwYMHaNmyJbp3767TKZ1qtRr9+/fH/fv3JeVdu3bFokWLMrz/VHMAlp1EJyoqCt988w1q164tW7k4s3aMRW76n5HsDHSVxP7L49JFsqetDlP5HeT190Be77+mW7duoXbt2vjmm28QFRWV5Xqz03+VSoXFixeja9eukvJ79+7h888/1+mjS0NDQ9G9e3e0bNkSDx48kO0fOnQoTp06BWdnZ521SURkDJjsE+mIra0tli9fjo0bN8Le3l62f+vWrahUqRImTJggu184J/73v/9hz549krI6depg/fr1md5/rbk/K4Oq9+/fY968eahYsSKWLFkie42tra2s37q4D1wfNFfe19WgMjU1NcN2jAX7L49LF78DbXWYyu8gr78H8lr/Nf8329vbyxJ1tVqNJUuWoGLFipg/fz7ev3+fab2a/c/Kd9H69etlj/3bvXs35syZk2l7mYmIiMD48eNRqVIlbN26Vbbf3t4emzZtwrJly3R2woeIyJgY57cQkQnr1asXLl++jLp168r2xcbG4ueff0bp0qUxbtw4hIeH56iNq1ev4scff5SUOTk5Yfv27VkasGg+Czo2NjbdYyMjIzF79myULl0aY8eO1foorRo1auDKlSuy+/Y12zEWmiclMup/dmjWo+2kjzFg/+Vx6eJ3oK0OU/kd5PX3QF7rv+b/5tTUVFy+fBnVq1eXHfv69WuMGTMGpUuXxuzZsxEZGZluvZr9z8p3gI2NDXbs2CFb+f7HH3/E1atXM329NuHh4Rg3blxazNr+vnXr1sXly5fRs2fPHLVBRGQKmOwT6UGlSpVw7tw5rFixAgULFpTtf//+PebOnYsSJUqgc+fO2L9/v9YF7rRJTExE//79JVdQzMzMsGXLliw/Qi6zga4QAmfOnEGfPn1QrFgxjB8/XutsBFtbW0yfPh0XL15ExYoVZfenmspAV1cDfc0rX8Z6soP9l8elr2TfVH4HWblqmxU5SfaUkNf7r/m/OT4+HpUrV4a/vz+mT5+u9aTxh6vkxYoVQ58+fXDmzBnZE2ByerKjVKlS2Lx5s2QmREpKCj7//HMkJiZmqY6UlBTs378fnTt3RokSJTB37lytf9dChQph5cqVOHfuHCpVqpSluomITBWTfSI9MTMzw+DBg3H37l0MHDhQ63TOlJQU7Nq1C23btkWpUqXw7bff4tixYxkunvTTTz/J7pWfNGkSmjVrluXYNAdg0dHRSE1NxalTpzBy5EiUKlUKfn5+2LhxY7oDrY4dO+L27duYNGkSbGxs8O7du0zbMRba+q8LmvWw/8bZfysrK1hYWEjKdPE70KzD0tISVlZWua5XH/L6e4D9l8f17t072NjYYNKkSQgODkbHjh21vjYxMREbN26En58fSpcujZEjR+LUqVNITU3NVf+bN2+OiRMnSspu3ryJ6dOnp/uapKQkHD16FN9++y1KlSqFtm3bYteuXVpPnpuZmWHgwIG4c+cOBg0aZLS3WBAR6RL/0xHpmYuLC1avXo3g4GD069cv3XsYQ0NDsWDBAjRr1gzOzs7o0qULFi9eDH9//7Qr5teuXcPs2bMlr6tZs6ZsgJQZzWdhz5gxAy4uLmjcuDEWLVoke+7wf7Vp0wb+/v7YtWsXSpcunVb+9OlTyXEqlQqurq7ZistQNPuvGXtOadaj2Y6x0IwrMjJSJ1c2TaX/KpVKL+8BU+k/oJ/PwPv37/HmzZsM2zEWef1/gLb/zf+NvXTp0ti1axcuXryINm3apFvP06dPsWjRIjRu3BguLi6YOXOmZH92+z9p0iTUqFFDUjZ79uy0JwMkJCTg4sWLWLx4Mbp06QJnZ2c0b94cCxYsSHcBXHNzc/Tv3x/BwcFYvXo1XFxcshUTEZEps8j8ECLShYoVK2Lt2rWYPHkyZs+ejY0bN6a7UnFMTAx27tyJnTt3AgAsLCxQvXp1rfcvzpw5EwkJCbCwsICZmRmEEEhOTkZSUhJiY2MRFhaG8PBwhIeH4/Hjx7h9+zauXLkiqSM4ODjD2K2srNClSxd89913qFOnjtZjnjx5Itl2c3Mz2quamrc7aMaeE4mJiQgLC8uwHWOhLa6nT5/C3d09V/Vq/h6Ntf/Av7H9N7nRxXvA1Pr/X/roPwCULFky1/Xqg2b/w8LCkJSUlOv/WabyHrC2toabm5vkf9aTJ09k9+z7+Pjg77//xuXLl/HLL79gx44d6c48e/v2Ld6+fSspu3z5Mrp16wYPDw+ULl0arq6ucHV1hZubG+zt7WFlZQVLS0uoVCqo1WokJCRg1qxZkhMMqamp8PT0RK1atRAYGJjlW95sbW3Ru3dv/PDDDyhXrlxWfzVERB8VJvtEBlauXDmsXLkS8+bNw5YtW7Bq1Spcvnw5w9ekpKSku1DRfwdFFhYWWR4IZUWlSpUwePBg9O/fP9NHEpnKIBeQx/b8+XOkpKTIpnZnh7bZEMb6O7Czs4OTk5Nkoa0nT57kuWT/zJkzadtM9nXff2dnZ6O9Z12z/0IIPHv2LFdJYUpKCl68eJFhO8akVKlSsmQ/PXXq1MGmTZsQERGBtWvXYuXKlbh7926mbURFRWH79u2ZHpeV766sLtbn5eWFL774Aj169ECBAgWy9Boioo8Vp/ETKaRAgQIYOnQoLl26hBs3bmDq1Knw8vLKVZ26SPRr1qyJn376CTdv3kRwcDBGjx6dpWcPa84OMOZB7n9vPwD+vXL08OHDXNWp2f8CBQrA0dExV3Xqk+bv4M6dO7mqLyEhASEhIRm2YUzKlCkj2c5t/7XVYUr9DwkJkS2wmV2a/Tfm/wGOjo6yRDCzGU6ZefDggezRc8b8O9B8f2al/87Ozhg9ejSCg4Nx8+ZNTJs2DTVr1sx1LLn97vLy8sLUqVNx48YNBAQEYOjQoUz0iYjAZJ/IKFSvXh1TpkxBQEAAwsLCsGbNGvTv3x8eHh5QqVQGiWHFihV49uwZrl27hh9//BFVq1bNVtuaV110MQDUFxcXF7i5uUnKNG9tyC5T6j8A2X2xue1/YGCgJNFRqVSoVq1arurUJ23911xZPDuEELLfoTG/BzQ/3ykpKbh582au6jSl/qtUKtl7IKePeftAs/9FixY16vvDc9N/lUqFqlWrYvLkybh27RqePXuG5cuX6zrEdNv28PBA//79sWbNGoSHhyMgIABTpkzR+uhAIqK8jMk+kZFxdXXFgAED8OeffyIoKEjrI++ArK9ybGZmBldXV9SsWROtW7fGqFGjsGzZMlhaWkqOK1u2LIoXL56jmFNSUnDjxg1JWa1atXJUl6FoxqfrgX5e67/m6ytVqmS0K5ED8v5HRkZmuDBlZp4+fSpbnM6Y3wMODg6oWLGipEzX7wFj7j8gj0/XJ/xMrf83btzI8RX24sWLo2zZspIyS0tLLFu2DKNGjULr1q1Rs2ZNuLq6ZnkV/PRuAYmIiEBQUBD+/PNPDBgwAEWKFMlRzEREeQHv2Scycn///bes7NSpU/Dz80NycjJiY2MRExODd+/eITk5GdbW1mmLHtna2sLJyUnrEwBWr16NS5cupW1fvnwZTZs2zVGMt2/flk0B9vT0zFFdhlK7dm3s378/bTuzdRMyou2qrrEP9GvXri3ZvnPnDmJjY3OcoJta/0uXLg1HR0dERUWllV2+fDnHC8pp9r9gwYJGPYUb+Pdv9N/7ri9fvoyhQ4fmqK7Y2FjZNH7N95ix0XyPXr58GUKIHM+m0nwPGHv/Nf9Hx8fH4/bt2zm+Oq7Zf09PT63vp9TUVERGRiI+Pj5tMdnExERYWloif/78cHBwgIODAywsLHD69Gk0atRI8vr9+/ejb9++OYqRiCiv4ZV9IiOmVqvxv//9T1JWv359+Pr6Avj3yknBggVRsmRJVK1aFZ6envDw8ED58uVRqlQpFC5cON1H/Wmuqn/ixIkcx3n8+HHJdqlSpbJ0n7+SNPt/8eJFxMXF5aiue/fuyR77ZOwD/erVq0sWJFSr1Th9+nSO69N8Dxh7/1UqlV4/A7Vr1zbYLTg5pcv+nzp1SnIbhIWFhVHfxgHI+x8aGor79+/nqK64uDhcuHBBUmbsnwEXFxfZCSldfwa0MTc3R+HChVGqVCmUL18eHh4e8PT0RNWqVVGyZEkULFgw7X+Tr68v6tWrJ3n9//73P6jV6hzHSUSUlzDZJzJiR44cwe3btyVlP/zwg06SiCZNmki2T506leMFug4fPizZzukMAUPy9fWVnAhJTEyUrM6eHZr9d3NzQ+XKlXMVn77ly5dPNojW7EdWPXz4EI8ePZKUmcJ7QPMzkNP+a3utKfb/4cOHOV6oUrP/9evXR758+XIcmyFUrlxZ9rz5nL4HTp8+LXkknbm5Ofz8/HIVnyHo6jMQHx8vO1moi8+ASqXCDz/8ICkLCgrC0aNHc103EVFewGSfyIj9+eefku0qVapIHrWXG02aNJHcO5mQkICzZ89mu57ExEScPHlSUtaiRYvchqd3jo6O8PHxkZTldKCr+boWLVoY/VVdQP530lX/ixQpYvRXdQF5/+/du4fHjx9nu56QkBDZFWFT+AxUr14dhQsXlpQdOXIkR3Vp+wwYO5VKpbfPQN26dU1iNXjN/p88eRKJiYnZrufs2bOSk8VmZmayEwk51bZtW1SpUkVSpvndSERE2jHZJzJSUVFR2L17t6Rs2LBhWV7cKDOFChWSPervv/ewZ9WpU6cQHx+ftq1SqUziqiYgH+ju378/2yuyx8XFyaa+mkKiA8jjDA4Olj0+Lyv++ecfyXbz5s119j7VJ09PTzg5OUnKNPuSFQcOHJBsOzs7G/VK9B+YmZmhefPmkrKc/A949OiR7H59U/0MHD9+XPL/LCuEELL3jan0v1mzZpITk3FxcTh16lS269Hsv7e3NwoWLJjr+IB/36ea9/7v2rUL0dHROqmfiOhjZvyjMaI8auvWrZIrJZaWlujZs6dO22jZsqWsTc3nRGdm8+bNku06deoY/f36H2j2/+7du7KnCmTm77//xvv379O2zczM0KxZM53Ep2+1a9eWJbtbtmzJVh2RkZE4ePCgpEzz92qszMzMZElZdvsPyD8DLVq0MImTHQDQqlUryfahQ4dkTxXIjObvzMnJyegXaPygefPmkmT3/fv3WhdFzcj169clCx0CpvMZcHZ2lq1dkN3PQGpqKv766y9Jma7737NnT8kTZBISErB161adtkFE9DEyjdEIUR60ceNGyXbbtm1liVlude/eXbIdGhqarUXa4uPjsWPHDklZjx49dBKbIXh7e8sWqNq0aVO26tA8vkmTJrKp0cbK3NwcXbt2lZRlt/87duyQPK7LxsYG7du310l8hqD5GThz5gyePn2a5dc/efJEdvuLZp3GrH379rC2tk7bTk5Oln2mMyKEkP2v6tatW7oLgxqbwoULy6ab5/Z/QOnSpeHt7Z3r2AxF8/26Y8eObK3fcurUKYSFhWVYZ245OzvLbmHTfN8REZEck30iIxQdHY1z585Jyvr166fzdjw8PFCjRg1JWXYGUPv370dMTEzatkqlMqlEx8zMTDZbYvPmzVle6fnNmzey6au9evXSWXyGoBnvrVu3EBgYmOXXa75f2rVrh/z58+skNkNo1aoVHB0dJWWaV+ozonlswYIFZVfLjVn+/PnRrl07SVl2/gcEBgbKFhE19c/AP//8g7dv32bptampqbL3QM+ePU1izY4PunfvLon33bt32bqdQ/P9UrNmTbi7u+ssvg80vwPPnTvHqfxERJlgsk9khI4dOyaZTm9tbS27t1ZXNAe6f/31V5YHUKtWrZJsN27cGMWKFdNZbIag2f/nz5/LpqWnZ/369UhOTk7btra2RufOnXUan741bNgQJUqUkJStXLkyS6+9e/eubCaIqSV61tbWstkNq1evztIJH7VajTVr1kjKunbtCisrK53GqG+af7NTp07h3r17WXqt5v+AEiVKoEGDBjqLzRA6d+4s+ZslJSVh3bp1WXrtoUOH8OLFC0mZqX0GihcvLnuWfVb/B0RHR8um0+ur/y1atJD8nVJSUmSP+yMiIikm+0RG6NChQ5JtPz8/2NnZ6aWtnj17Su4vjo2NxR9//JHp627fvi2Ls0+fPjqPT9+qVasmm92wcOHCTF+XmpqKRYsWScratWtnEitw/5eZmRl69+4tKfvjjz8QFRWV6Ws1+1+oUCG0bt1al+EZRN++fSXb9+/fly26p80///wjW4XfFD8Dn376qWwxNc2/rTZRUVGy/xW9e/c2mfUKPnB0dJTderJ48eIsrV+yYMECyXaNGjVQtWpVXYZnEJqfgUOHDiE4ODjT161ZswaxsbFp29pmS+mKnZ2d7HGGmt9BREQkZVrfyER5hOZjnPQ5LbhEiRLo2LGjpGzRokWZDnQ1kwEnJye9DfL07euvv5ZsHz58GEFBQRm+5u+//5Y9W/6bb77ReWyGoPmUh/fv38uuWGt68+aN7PFXQ4YMkdz/bSp8fX1ljwrUTOK00TymevXq8PX11WFkhmFtbY0hQ4ZIyv74449Mp7KvXr1asjilubk5hg8frpcY9U3zf8DDhw8zncoeFBQke1Shqf4P6NGjBwoVKiQpy+yEj7YTnp06dULx4sV1Ht8H2haUJCKiDAgiMiqvX78WACQ/gYGBem3z9OnTsjZ37NiRYYy2traS4ydMmKDXGPUpLi5OODk5SfozaNCgDF/TqFEjyfGenp5CrVYbKGLd69q1q6Q/pUqVEklJSekeP3v2bMnx5ubm4tmzZwaMWLdWr14t+wzcuHEj3eNv3LghO37NmjUGjFi3nj59KszNzSX9mT17drrHJyUliVKlSkmO79atmwEj1i21Wi1q1qwp6U+jRo0yfM2gQYMkxzs7O4u4uDjDBKwH48ePl/TH1tZWvH79Ot3jd+zYIfsMnDlzRq8xavvcRURE6LVNIiJTxmSfyMgcPXpUNuBKSUnRa5tqtVrUqlVL0m61atVEamqq1uPHjBkjOdbCwkI8f/5crzHq28SJE2V9evjwodZjNf9GAMTatWsNHLFunT17VtanFStWaD02OjpadnKkR48eBo5Yt+Lj44Wzs7OkT506dUr3+I4dO0qOdXFxEfHx8QaMWPe6d+8uS16jo6O1Hrt8+XLZ++XcuXMGjli3/vzzT1mfjh07pvXYBw8eCAsLC8mxkyZNMnDEuvXs2TNZn8aOHav12JSUFFG1alXJsbVr19b7Cc/k5GRhY2OTpb8REREx2ScyOvPmzZMMZLy9vQ3S7saNG2UD3Q0bNsiOe/bsmbC2tpYc17dvX4PEqE8vXryQ9at3796y49RqtfD29pYc5+bmJhISEhSIWnfUarXw8fGR9Kto0aJar1ROnjxZ9l7x9/dXIGrdmjp1qqxfFy9elB134cIF2XHTpk1TIGLd8vf3l/VrypQpsuPi4uJE0aJFJcfVrVvXpGe2CCFEQkKCcHNzk/3/1davXr16SY6ztrYWoaGhCkStW3369JH0y8bGRuuJ3PXr18veK5s2bTJIjF5eXpJ258+fb5B2iYhMEZN9IiOjOdgaMmSIQdrVdqWmbNmyIjExUXLc4MGDZVfAHzx4YJAY9W306NGSvqlUKtlU7p07d8oGucuWLVMoYt3SNmNh7ty5kmNevnwp7O3tJcd06NBBmYB1LCoqSjZjoXHjxpJkT61Wy27hcHJySvcKuKlp3769pG/29vbi1atXkmPmzJmT5Svgpmbp0qWyvu3atUtyzPXr14VKpZIcM2bMGGUC1rH79+/Lru5rfgclJiaKMmXKSI6pVq2a3megfaD5HdSnTx+DtEtEZIqY7BMZmXr16kkGMosWLTJY23v27JENdP971eTGjRuy+3qHDx9usPj07fXr18LBwUHSv2bNmqUle/Hx8aJixYqS/eXLl8/w3nZT07RpU0n/HB0dxcuXL9P2Dx06VHZC5ObNmwpGrFuaM2sAiD179qTt3717d4afEVN38+ZNWSI7bNiwtP3h4eHC0dFR9hn5WCQlJYly5cpJ+lexYsW0WzTUarVo1qyZZH/+/Pk/qvvGhw0bJumfubm55KSnts/I3r17DRbfokWLJG3Xr1/fYG0TEZkaJvtERkbzisnOnTsN1rZarZadbMiXL58ICQkRKSkpsunrtra2H8XU1f/66aefZAPZ9evXCyGE+PHHH2X7tmzZonDEuhUQECDrY69evYQQ2u/r79evn8IR61ZcXJwoXry4pI/FixcX7969E+/evdO6z9Tv1dfUt29f2d/5w/34PXv2lO0LCAhQOGLd2rx5s6yPkydPFkIIsW7dOtm+6dOnKxyxbr148UK2AKuPj49ISUkRISEhIl++fLJk25C3cGguDFi2bFmDtU1EZGqY7BMZEbVaLRtknT9/3qAxnDt3TjaYbd26tVi4cGG6A+CPSUxMjCyhc3Z2FqdOnRKWlpayAXB6ixiaMm0J3Z49e4SHh4fsRNDjx4+VDlfntCV0I0eOFCNGjJCVr1u3Tulwde7x48eyhK5KlSpaZ/707NlT6XB1LjU1VXZi09LSUpw6dUp2m0fx4sVFTEyM0iHrnLZ1ORYtWiRatWolK1f6Oypfvnwmv14EEZG+qIQQAkRkFN69e4cCBQpIyh49eoQyZcoYNI7hw4dj2bJlGR5TqVIlXL9+HTY2NgaKynD27t2LDh06ZHiMhYUFrly5gurVqxsoKsN5+fIlKleujKioqAyPmz9/Pr777jvDBGVAQgg0b94cx44dy/C4Zs2a4fDhw1CpVAaKzHDmz5+PMWPGZHhMwYIFERwcjCJFihgoKsMJDAxE7dq1kZKSkuFxe/fuRbt27QwUleEkJCSgRo0auHfvXobHDR8+HL///ruBovrXo0ePUK5cOUnZu3fv4ODgYNA4iIhMgZnSARDR/3n79q2szMnJyeBx/Pzzz3B1dc3wmOXLl3+UiT4AtG/fHp07d87wmDFjxnyUiT4AFClSBHPnzs3wmFq1amHEiBEGisiwVCoVli1bluH728bGBsuWLfsoE30AGDlyJDw9PTM8Zu7cuR9log8A1atXx+jRozM8pkuXLh9log/8+/5evnx5hse4ubnh559/NlBE/8fZ2VlWpu27k4iImOwTGT1zc3ODt+no6IjFixenu3/gwIFo1KiRASMyvMWLFyN//vxa95UrVw6TJ082cESGNXDgQPj5+WndZ2ZmhpUrV8LCwsLAURlO+fLlMWXKlHT3T5kyRXZ18WNiYWGBlStXwsxM+zChUaNGGDhwoIGjMqzJkyejbNmyWvflz58fixYtMnBEhtW4ceMM/8aLFi2SzUQzhPTek0REJMdp/ERG5MmTJyhdurSkLCYmBvb29gaPRQiBQoUKaZ3KHRUVpcggz9DSm8p89OhRNG3aVIGIDOvhw4coX768rLxr167Ytm2bAhEZVkpKCiwtLbXuS05O/qhPdnzQpUsX7Ny5U1b+4MGDj/pkxwdHjx5F8+bNZeUf6y0smqKjo+Ho6CgrL1iwICIjIxWZ2RITEyM7EfvkyROULFnS4LEQERk7nh4lIq2uX7+O6OhorfvWr19v4GgMLyYmBhs3btS6b9GiRZney2vqhBBYuHCh1n3nz5/H8+fPDRyR4R08eDBH+z4Wz58/x8WLF7XuW7RoET72awUpKSnpXr3fuHEjYmJiDByR4a1bt05reVRUFK5fv27YYIiIKNuY7BMZEW1T9hMTEw0ex+PHj/Hpp5+mO5gfMWKE1qt9H4vk5GR07doV165d07p/7969+Prrrz/qZGfevHnp3soRGhqKTz/9NN2TQR8Df39/fPbZZ+nu7969OwICAgwYkWFFRUWhdevWCA0N1bp/0aJFmD9/voGjMhwhBL766ivs27dP6/6rV6+iW7duSE5ONnBkhrNjxw6MHDlS6z4hBD799FM8fvzYsEEBSEpKkpVxaj8RkXb870hkRFxcXGRlL1++NGgMERERaNWqFcLDw9M9RgiBXr164cyZMwaMzDDUajUGDx6Mw4cPZ3jc8uXLMWPGDANFZVibNm3CuHHjMjzm5s2b6NixIxISEgwUleHcv38fbdu2RXx8fLrHxMXFoU2bNrh//74BIzOMhIQEdOrUCbdu3crwuLFjx2LTpk0GisqwZsyYgRUrVmR4zKFDhzB48GCo1WoDRWU4Z86cQe/evTM8oRkeHo5WrVohIiLCgJFB63eTtu9OIiJisk9kVKytrWWr76d3ZU0fwsLC0LhxY9y9e1dS3rhxY0ycOFFSlpiYiNatW+PEiRMGi0/fUlJS8MUXX2Dt2rWScmdnZ6xZswbW1taS8smTJ2P69Okf1RX+9evXo1+/frLyxYsXo1KlSpKykydPol27dnj//r2hwtO727dvo1GjRrIEpl+/fujbt6+kLCIiAo0aNcLt27cNGaJexcbGom3btjh58qSkvFKlSlpnevTr1w8bNmwwUHT6J4TATz/9JFuA09raGmvWrJGtBL927VoMGjQIqamphgxTr44fP47WrVvLZpVNmjRJtjDr3bt38cknn2R4cljXNL8TnZ2dZf+biYjo/xNEZFSqVq0qAKT9rF271iDtPn78WJQvX17SNgBRtWpV8fbtW6FWq8XgwYNl+21sbMTff/9tkBj1KTExUXTt2lXWv3z58gl/f38hhBDbt28XKpVKdszYsWOFWq1WuAe59/vvv8v6BkDMnTtXCCFESEiIcHV1le2vX7++ePv2rbLB68CVK1eEk5OTrH8tW7YUSUlJIikpSbRo0UK239nZWVy5ckXp8HPt7du3on79+rL+ubq6ipCQECGEEHPmzJHtV6lUYunSpcoGrwNqtVqMGTNGa/927NghhBDi4sWLwtbWVnZMt27dRGJiosI9yL2///5bWFtby/o3ZMgQoVarxdu3b0WVKlVk+8uXLy8eP35skBj//PNPSdvVqlUzSLtERKaIyT6RkdFMJqZMmaL3Nm/evClKlCghG8CVKFFCPHv2LO245ORk0b59e9lxFhYWYv369XqPU1+ioqJEq1attPZr3759kmMXL16sNSEePHiwyQ721Wq1mDFjhtZ+jRo1SnIi4+rVqyJ//vyy4zw9PcXz588V7EXuHDt2TGu/ateuLd69e5d23Lt370Tt2rVlx+XPn18cP35cwR7kzvPnz4Wnp6fWfl29ejXtOLVaLUaOHKn1vTJjxgyTPemVmJgoBg0apLVfS5YskRy7b98+YWFhITuuVatWIioqSqEe5N66deu09qtDhw4iOTk57binT5+m+31x8+ZNvcc5efJk2ck4IiLSjsk+kZH59ttvJQOZNm3a6LW9zZs3i3z58mX5Sk16V8ABiJEjR4qkpCS9xqtrQUFBomLFirK+WFtbpztjIb0r4A0aNBChoaEG7kHuvHv3TnTp0kVrf8aMGaM1ebt8+bLWK+CFCxcWp06dUqAXOadWq8W8efOEmZmZrD/pzVh4+/atqFevnux4c3NzMX/+fJNLeE+ePCkKFy4s64+Tk5PWGQtqtVqMHj1a63umS5cukpMjpuDFixdaZzRkNGNh3759Wq+AV6xYUQQFBRm4B7mTlJSU7gmc9GYsPH78WJQrV052fL58+cSWLVv0Gu+nn34qafO7777Ta3tERKaMyT6Rkdm0aZNkIFOkSBG9JA/JycnpDtirVq2aYdKanJwsPv/8c62v9fPzE+Hh4TqPVx+2bdsm7OzsZH2ws7PL9CrtunXrtCaIrq6u4uzZswbqQe7cuXNHuLu7a/07/vTTTxm+727duiXc3Nxkr7OwsBALFy40iYQ3JiZGdO/eXWv/mzZtKmJjYzN8bdOmTbW+tnv37iImJsaAPckZtVotFixYIMzNzWV9cHNzyzBpVavVYtq0aVr77+7uLu7cuWPAnuTc2bNntd6aYm5unulspWPHjmn9/2Fvby+2b99uoB7kTnh4uPDz89P6dxwwYIBISUlJ97WhoaFap/QDEKNHj5bMBtAVtVotOzG1efNmnbdDRPSxYLJPZGTu3bsnGzg9ffpUp21cu3ZN1KpVS+sgzcfHR0RERGRaR2pqarpXg5ydncWmTZuMNuGLiIgQ/fr10xq7k5OTuHDhQpbq2bFjh7CxsdGaKIwbN07ExcXpuSc5k5KSIubPn6/13mOVSiUWLFiQpXoePHggypYtq/X32LJlS4Pdw5sTR48eFWXKlNEae6dOnUR8fHymdcTHx4uOHTtqraNMmTLi6NGjBuhJzoSEhGhdfwCAKFu2rHjw4EGW6vn111+1rmORL18+8csvv2SYLCopLi5OjBs3TusJOxsbG7Fz584s1XPhwgWts1wAiH79+mXpf6kS1Gq12LhxY7qxjxo1SqSmpmZaT0REhPDx8dFaR61atcT169d1GvfTp09l7dy/f1+nbRARfUyY7BMZGbVaLRwdHSWDmUWLFomQkBDx+vXrXCXQ8fHxYsKECVqv5AEQgwYNylKS81+rV6/WOp0V+PcWBF2fqMgNtVot/vrrL61Tlj8MTrOboF65ckWUKlVKa30VKlQQJ0+e1FNvciYwMFB4e3trjbdgwYLi4MGD2aovMjJS63oHwL8zJBYtWpSlpMFQ3rx5IwYOHKg1XpVKJaZNm5ateFNTU8W0adO0JrwAxMCBA8WbN2/02KPsSUlJEYsWLdJ6RRqAaN26dbbjPXDggChYsKDW+ry9vQ1yH3d2nDhxQutipABE6dKlJWsUZEVISEi6J08LFy4stm7dalQnPp8+fSratGmjNV5ra2uxevXqbNUXHx8vvvjiC631WVhYiAkTJmT7e0WTWq0Wr1+/li0Q6ejoaFS/WyIiY8Nkn8gIderUSevACYAoV66cWLBgQbZWP09OThZr1qxJNym1srISK1asyHG8AQEBWhds+nCF74cffhCRkZE5rl8Xzp49Kxo1apTu7/Xzzz/P8ZX4iIgI0bx583Tr7tKli7h165aOe5Q9T58+FYMHD073RE/NmjXFo0ePclR3SkqKmDRpUrr9r169utizZ4+ig/L379+LuXPnpnsl09HRUezfvz/H9f/999+iQIECWut2cnISc+fOVXSmh1qtFnv27BHVq1dP9+/0448/5vhK/MOHD0WNGjW01mtubi4GDx6s+Im/W7dupbs+BQDRokWLHF+Jj4uLE/3790+37kaNGil+e09kZKT44YcftK7RAvy7wN6lS5dyXP/y5cuFpaWl1rpLlSol1qxZk+2p/W/fvhULFizQuj4AANG2bdscx0tElBcw2ScyQtoe//ThR6VSCZVKJezs7DK9CpuUlCQ2btyodQG6Dz8eHh4iICAg1zG/evUqw4F0/vz5xU8//WTQpF+tVouLFy+me+X5Q1yrV6/OdSKakpIipk+fLqysrNL9u/Xp00cEBwfrqHdZ8+zZMzFixIh04wIgvvrqK/H+/ftct7V//35RtGjRdNvx9vYWBw4cMOiV/tjYWLFkyRKt6wt8+PH19c3ytPWMPHjwQDRs2DDddtzc3MSSJUsyXAtA11JTU8WBAwfSnc0BQBQtWjRXJzo+eP/+vfjqq6/SbcfKykqMHDlS8oQPQwgODha9e/dOd/aFlZWVmD59eq5vOVCr1WL16tVan+rw4ad169bi4sWLBj3xFRkZKaZNm5ZhXF26dBGvXr3KdVsBAQHCw8Mj3XYqVqwoNm7cmKWFXA8ePCjs7OzSvvO01WdtbZ3t2UhERHkJk31ShFqtFpcvXxYTJkwQrVq1EsWLFxf29vbC0tJSWFtbi5IlSwofHx/Rr18/sWjRInHhwgWTW+U9pw4ePJju1df//piZmQlzc3OtA5179+6JcePGpTtdHfh3euXkyZNFQkKCTuPfvn27KFKkSLrtWltbi169eokTJ07obcD79u1bsXjx4nSvNH74ad++vc4fFxcUFCTq1q2bYbu+vr5i3bp1ervSm5ycLHbv3i3atGmj9Z7kDz+VKlUSZ86c0WnbUVFRYsiQIRn2v2zZsmLmzJl6fXLBlStXxLBhwzJMcOzt7cXvv/+u05MPqamp4rfffhP29vYZnmAaNmyY1pXudSU0NFTMnDkz3TUVPvwMHTpU54+LO336dIYnGM3MzETbtm3Fnj179LKImxD/Xmlft26d8PX1zbD/9erV0/nq+c+fP9f6iNL//tSoUUMsWbIkWzO0skOtVovjx4+Lnj17pnubFfDvgqI7duzQadsJCQli8uTJWh/j9+GnSJEi4vvvv0/3fvsP34MZ/f/K7HvwY5OUlCQuXLggFi1aJPr16yd8fHxEyZIlhbW1tbC0tBT29vaiePHiolWrVmLChAni8uXLvMWBiJjsk+EdOXIkw6mk6f04OjqK3r17i61bt+rkKqQxevv2rbCzs8t0gPPfgY6dnZ14/fq1OHfunPjxxx8zvIL34adhw4YiMDBQb/148+aNGDx4cKb9KF26tBg+fLjYvXt3rh7XpVarxd27d8WiRYtEmzZttC6a99+f4sWLiy1btuhtIJSSkiIWLlyY7n3MH34KFCggunXrJlatWpXrq52vX78WmzZtEv3798/wZAvw7wJkEydOzPV9tBk5fvx4hlf4gH+ndzdu3FjMnj1bXLt2LdfrURw+fFiMHj063RXC//vTsWNH8eTJEx32WOrJkyfpLt73358qVaqI0aNHiyNHjuTq75GamiquXbsmfv75Z9G4ceNMTxh6eHhk+sSJ3IiPjxcTJ07M9LNYpEgR0b9/f7Fp0ybx+vXrXLX57NkzsWrVKtGtW7cMT/IA/65PsXDhQr0tIKhWq8WWLVtE8eLFM/0stmnTRixatEjcvXs3V5+Bd+/eid27d4vhw4eL0qVLZ/rdMXjwYL2uJ3Hjxo0MZ7p8+PH29haTJ08W586dE8nJyTn+HtTXiRMlvX//XmzdulX07t1btpZPVn6qV68ujhw5onQ3iEhBKiGEAJEBqNVqjBgxAr/99luu63J0dET//v0xdOhQuLu76yA647Bw4UJ8++23yO7H0traGomJiZkeV7t2bcyYMQMtW7aESqXKaZhZdvfuXUydOhVbtmzJ9FgLCwtUq1YNHh4e8PDwgLu7O5ydnZE/f37kz58fVlZWiI2Nxbt37/Du3Ts8ffoUQUFBuH37Nm7evInnz59n2kaRIkUwceJEDB48GDY2NrroYoaioqLw66+/4pdffkFsbGymx5crVw5Vq1aFh4cHqlSpgqJFi6b1387ODvHx8Wn9f/nyJW7fvo3bt28jKCgIwcHBmb5vLC0tMXToUEyYMAFubm666ma6UlNTsWXLFkyZMgUPHz7M9HgXFxdUr149rf9lypRBgQIFkD9/fjg4OCAlJQUxMTF49+4d3rx5g7t376b9DgIDAxEfH59pGy1atMD06dPh7e2tiy5mKiAgAJMmTcKRI0cyPdbW1jat/x4eHqhUqRIKFSqU1n8LC4u0/kdHRyMkJCTtMxAYGIjXr19n2ka5cuUwbdo09OjRA+bm5rroYobCwsIwc+ZMrFixAsnJyRkeq1Kp4O7ujipVqqT9DooUKZL2GbC1tcX79+/TPgOhoaFp/b9161aW3mMODg747rvv8O2336JAgQK66ma6EhISsGLFCsyaNQsvX77M9PjixYun/R+sUqUKSpYsmdZ/e3t7JCUlpfU/IiICwcHBaZ+BmzdvIiUlJcP6VSoVevTogalTp6JixYq66ma6hBA4dOgQJk2ahCtXrmR6fIECBeDk5IRHjx5lqx2VSoUFCxZgxIgROQ3VqAQHB2PZsmVYu3YtoqOjc13f119/jYULF8LMzEwH0RGRSVH0VAPlKSNGjMj2Wems/LRq1Ur4+/sr3b1cU6vVoly5cunem5ibnwYNGoidO3cqNqXvxo0bomfPnhneN67Pn9KlS4s5c+YY9F7p/3r9+rUYP368cHFxUaT/9vb2YtiwYYo9Ci8pKUmsXLlSVKtWTZH+q1Qq8emnn4pTp04p0n8hhDh58qRo3bq1Xj7fWfmpVq2aWLVqlWK3Qz1+/FgMGzYsw9sb9Pnj4uIixo8fn+vZAzkVGxsr5syZk+4iqfr+sbKyEj179tTrjK6MqNVqsXPnTtGgQQO9fcbLlStn8tPW/f39M1xjJjc/I0aMULp7RKQAXtkngzh48CBat24tKy9dujS6deuG2rVro0SJErC1tUVSUhLCw8Px9OlTXLlyBQEBAQgODs60jTZt2mDGjBmoWbOmHnqgfxEREXBxcdFZfU5OTujXrx8GDRoEDw8PndWbGxEREVi3bh1WrlyJO3fu6LUtS0tLdOjQAYMHD0azZs2M4opGUlIS9uzZg5UrV2bpSm9u+fj4YPDgwejevTvs7e313l5mhBDw9/fHypUrsWXLFsTFxem1vRIlSuCLL77AwIEDUaJECb22lVVPnz7FmjVrsGbNGjx79kyvbdnZ2aFHjx4YPHgwvL29DTKbJzOxsbH466+/sHLlSvj7++u1LZVKhebNm2Pw4MFo3749rKys9NpeVqjVahw9ehQrV67E7t27M70Sn1vu7u4YPHgw+vbtC2dnZ722lVW3b9/GqlWrsG7dOkRGRuq07oiICDg5Oem0TkO4fv06Jk2ahP3792d6rLu7O7y9vVG7dm2ULFkSrq6usLKyQnx8PJ49e4YrV65g27ZtePz4sey1Bw8eRMuWLfXQAyIyVkz2ySDq16+PCxcupG1bWlpi4cKFGDp0aJaSsOfPn2Pv3r3YuXMnjh8/nu50ZTMzM3z55ZeYPn06HB0ddRW+QTx+/BhlypTJVR3VqlVDy5Yt0bJlS/j6+sLa2lpH0emWEAI3btzAoUOHcOjQIZw9ezbTKb5Z4ebmltb/5s2bG/Wg78WLF2n9P3LkCN6+fZvrOvPly4cmTZqk/Q4qVKigg0j1IzY2FsePH0/7HWRlCnZmzMzM4OXlldZ/Hx8fg0xVz4nU1FT4+/un9T8gICDbt+9oU65cubT+N2nSxChO8qTn/v37OHToEA4ePIgTJ07o5ORPwYIF0bx587TfQbFixXQQqX5ERkbiyJEjae+BsLCwXNdpaWmJhg0bpvW/Ro0aRnGSR5vExEScOXMmrf83b97MdZ0hISEoXbp07oMzkKioKEyaNAlLly6FWq3WeoxKpULTpk3RqVMntG/fHsWLF8+0XrVajeXLl2PkyJGS79b69evj3LlzOoufiIwfk33Su9evX6Nw4cKSst9//x3Dhw/PUX2PHj3CihUrsHr1akRERGg9pkiRIpg/fz569epltAMdTbm9sn/z5k1UrVpVhxEZTmxsLC5duiS5Bz0kJCTt3tT/DoJsbGyQP39+ODk5wd3dPe3e3g/3OpvK3/u/UlNTcf36ddy6dSvtd3D37l28ffsW0dHRksGahYUF8ufPjwIFCqB8+fJp9zdXqVIFtWvXNtoTPJl59OgRrl27ltb/27dv49WrV3j37p0kCVSpVHBwcED+/PlRokQJyf3dXl5eKFSokIK9yLk3b97IPgPPnj3Du3fvEBMTIzkRkC9fPuTPnx+FCxdO67uHhwc8PT1RtmxZBXuRc4mJibhy5UraPfhBQUF48OABoqOjER0djdTU1LRjLS0tUaBAARQsWBCVKlVK63/VqlVRs2ZNoz3BkxEhRNraCx/eA8HBwYiMjMS7d++QkJCQdqyZmVnaffxlypSRfQaM+QRPRkJDQ3HixAn06dMnx3WYypV9IQQ2bdqE7777Dq9evdJ6jLOzM7744gsMGTIkx5/rpUuX4ssvv5SUvXr1SqezCInIuDHZJ707duwYmjVrlrZta2uL6OhoWFpa5qre9+/fY+nSpZgzZ066C1N99tlnWLZsGQoWLJirtgxBCIEKFSrg0aNH2brCp1KpULZsWdy/f98kE93MCCEQFxeHhIQEODg4GMVUXENLTExEbGws8uXLBxsbm4/y75yRDwvzWVhYwM7OzihuyTAktVqN9+/fIyUlJW2hvrxECIGEhATExcXB3t7eZE9o5UZSUhJiYmJgY2ODfPnyfbT/A/LC9+Dbt28xdOhQbNu2Tet+FxcXfP/99xg+fDjy5cuXq7aSk5NRoEAByeKlR48eRdOmTXNVLxGZjrw1YiJFaK5CXrhw4Vwn+sC/96OOGTMGjx49wk8//QRbW1vZMVu3bkX16tVx8uTJXLenbyqVCt98802OXjtixAijH+DklEqlgp2dHZycnPJkog/8+7QFJycn2NrafrR/54xYWFigYMGCcHBwyHOJPvDvlVwHBwcULFgwzyX6wL//A2xtbeHk5JQnE30AsLKygpOTE+zs7D7q/wEf+/fgyZMnUb16da2Jvq2tLaZPn46QkBCMHj0614k+8O8sGM2r+O/fv891vURkOnhln/TuzJkz8PPzS9u2trZGVFSUzh999vjxY4wcORJ79+6V7TMzM8OcOXPw3XffGfVgICoqCm5ubpIpmxkxMzODra0tnj9/bnJrFBAREWmKiopC8eLFER8fn+597P+lUqmQL18+o/4eFEJg/vz5GDdunNYZC+3bt8fChQt1vt5AQkICHB0dJY/mPXPmDBo2bKjTdojIeOW9SyRkcO7u7pIEOzExEcePH9d5O6VLl8aePXuwbds22bR9tVqNMWPGYODAgVl6Hr1SYmNjs3wSxMzMDCqVCjt37jTaAQ4REVF2ODo6YseOHVCpVFmaySOEwPLly432ezAxMREDBgzA2LFjZYl+oUKFsH37duzZs0cvCwseP35cMuZRqVRwd3fXeTtEZLyY7JPeOTs7w8fHR1I2f/58vbXXtWtXBAYGokmTJrJ9f/75J5o0aaLzx/3oQlRUFFq3bo2oqKgMj1OpVGnTWv/55x+0aNHCMAESEREZQMuWLbF///60W5cym5E3e/bsTL87lRAZGYkmTZpg7dq1sn1NmzZFYGAgunTporf2582bJ9muW7euSSxgSES6w2SfDKJv376S7ePHj2udbq8rxYsXx5EjR/DTTz/J9p0/fx6NGzdGeHi43trPrsTERHTs2BG3bt2SlHt4eKBcuXKSsrJly2LBggV48eIFE30iIvootWzZEs+fP8eCBQtkq9Fr3s9+69YtdOrUyahm7oWHh6NRo0Y4f/68bN/06dNx+PBhvT4acs+ePThx4oSkLDdPOiAi08R79skgEhISUK5cOYSGhqaVubi4IDAwEK6urnpte9euXejbt69sUZoKFSrg6NGjKFmypF7bz0xiYiJ69uyJXbt2ScorVaqEc+fOoVChQnjz5g1iYmLg4OCAQoUKGfW6A0RERLokhJB8Dwoh0LBhQ9y9e1dyXOfOnbFp0ybFF3J8+vQpmjZtigcPHkjK7ezssH79enTq1Emv7YeHh6NatWqSxxMXK1YMDx480Pl6SURk3Jjsk8H88ccfGDhwoKSsTp06OH78OBwcHPTa9o0bN9C2bVs8f/5cUl6yZEmcPn0apUqV0mv76YmJiUGnTp1w7NgxSbmrqysuXLigl3v4iIiITF1ISAjq1auHly9fSsqbNWuGXbt2wd7eXpG4njx5Aj8/Pzx9+lRSXrx4cfz999+oUaOGXtuPiYnBJ598gitXrkjK//jjD3z++ed6bZuIjA+TfTIYIQQ6deqEPXv2SMqbNm2KPXv2wM7OTq/tP3nyBE2bNsXDhw8l5ZUqVcLZs2fh7Oys1/Y1RURE4NNPP8WlS5ck5fb29jh9+jQ8PT0NGg8REZEpuXr1Kho1aiR7xK+Xlxf++ecfRb7Xtc04KF++PI4ePar3Cwvv379Hhw4dZBcQOnbsiJ07d3JWIFEexHv2yWBUKhVWrlwp+7I7duwYPvnkE7x69Uqv7ZcqVQpnzpyBh4eHpPzu3bto27atQZ896+/vjzp16mhN9Pft28dEn4iIKBO1atXC3r17ZVfxL126hDp16iAgIMBgsbx//x5t2rSRJfoeHh4GmUH48uVLNG7cWJbolypVCitXrmSiT5RHMdkng3JxccHhw4dlZ9svXbqEunXr6v2L2c3NDSdPnpQl/P7+/ujWrRtSUlL02r4QAgsWLICvry+ePHki2efs7IwTJ06gcePGeo2BiIjoY/HJJ5/gxIkTsnHFkydP0LBhQyxYsEDrs+11KSUlBd26dZONYTw8PHDq1Cm4ubnptf2AgADUrVsXly9flpQ7OztrHXMRUd7BZJ8MrmLFijhw4AAKFSokKQ8JCUGDBg3wv//9D6mpqXpr38XFBYcOHUKJEiUk5QcOHMCkSZP01u6TJ0/Qrl07fPvtt0hOTpbsK1myJM6ePYs6derorX0iIqKPUZ06dXDmzBnZ93pycjK+/fZbtGvXTnYPvS5NnDgRBw4ckJSVKFEChw4d0muinZqaiv/9739o0KABHj9+LNlXqFAhHDx4EBUrVtRb+0Rk/HjPPinmzp07aN26tewLCvj3i/u3336Dt7e33toPDg5Gw4YN8ebNG0n5jh070LlzZ521k5ycjF9++QU//fQT4uLiZPt9fX2xZcsWFC1aVGdtEhER5TWhoaHo0aMHzpw5I9uXL18+TJkyBd9++y0sLS111uaOHTvQtWtXSZmTkxPOnj2LypUr66wdTQEBAfjyyy9lC/EBQOnSpXHw4EFUqlRJb+0TkWnglX1STOXKlXHhwgXUr19ftu/y5cuoW7cuvvjiC9l0d11xd3fHvn37ZF/6/fv3x507d3Jdv1qtxu7du1GzZk388MMPWhP9CRMm4Pjx40z0iYiIcqlo0aI4fvw4xo8fL9sXFxeH77//Hp6enti9e7dOpvYHBwfLVri3tLTE3r179ZboP3nyBF988QXq1q2rNdGvX78+Lly4wESfiAAw2SeFubq64tSpU/jxxx9li8cIIbBmzRpUqFABQ4YMQUhIiM7br1+/PhYuXCgpi42NRffu3ZGUlJSjOtVqNbZv3w5PT0906tQJt2/flh3j4uKCAwcOYObMmbCwsMhRO0RERCRlYWGBWbNm4cCBA3BxcZHtDwoKQqdOneDp6YkdO3ZArVbnqJ2kpCT06NFD9iSARYsWab2IkVshISEYMmQIKlSogDVr1shOVpiZmWHy5Mk4deoUXF1ddd4+EZkmTuMno3H69GkMHTo03avqZmZm+PTTTzF06FC0bt0a5ubmOmlXCIEBAwZg7dq1kvJJkyZh+vTpWa7n1atXWLduHVatWiVbjfcDlUqFoUOHYtasWShYsGCu4iYiIqL0vXnzBhMmTMCKFSvSvZJfqVIlDBo0CP369UPhwoWzXPekSZMwc+ZMSdnnn3+ONWvW6Gzl+9TUVPzzzz9Yvnw5Dhw4kO6JicqVK2P58uXw8/PTSbtE9PFgsk9GJSkpCQsXLsS0adMyfBRe8eLF8dlnn6FTp06oV69erhP/+Ph4+Pj44ObNm2ll5ubmuHjxYoaL5sXExODo0aPYsGED9u7dm+Fq/p6enli6dCl8fHxyFSsRERFlnb+/P4YPH45r166le4yFhQXat2+PPn36oHnz5rLH+f3XpUuXUK9ePcliwtWqVYO/vz9sbW1zFWtqaiouXLiAnTt3Ytu2bXj+/Hm6x9rZ2WHKlCkYOXIkrKysctUuEX2cmOyTUQoNDcX//vc/rFixAgkJCRkeW6RIEbRu3RqNGjWCn58fypQpk6Oz6teuXYO3t7ckYffw8MC1a9fSvkRTU1Nx584dHDt2DH///TdOnTqV6XR/d3d3/Pjjj/jss890NhuBiIiIsi41NRV//fUXZsyYgeDg4AyPtbKyQuPGjdGmTRs0bdoUlStXTvv+TkpKgqenp+QWPQsLC1y6dAk1a9bMdlxCCISEhOD06dM4deoU/vnnH7x69SrD19jY2GDIkCH4/vvvueYPEWWIyT4ZtbCwMMydOxerVq1CTExMll5TrFgx1K5dGx4eHqhSpQo8PDxQokQJODk5wcws42Uqpk2bhqlTp0rKatasiWbNmiEgIABXr16V3Z+XnqpVq2Ly5Mno0qVLpu0SERGR/qWmpmLHjh2YPn06bt26laXX2Nvbo1atWvD29saRI0dw48YNyf5p06Zh8uTJGdahVqsRGRmJZ8+e4fbt2wgKCsLt27dx5coVvHjxIktxODg4YNCgQRg7dizc3Nyy9BoiytuY7JNJiI2NxebNm7F8+XKtq89mhYWFBYoUKYIiRYrAzs4OVlZWsLS0hKWlJRISEhATE4M3b97g3r17OY7T1tYWXbt2xaBBg+Dr66uz+/aIiIhId4QQOH36NFavXo3t27cjPj4+x3VVrFgRhQoVgoODA2xsbJCcnIzk5GQkJSXh/fv3ePnyJV6+fJnhrX4ZqV27NoYOHYqePXtmeHsBEZEmJvtkcm7cuIGdO3di586dWT4rr08WFhbw8/ND165d0atXLxQoUEDpkIiIiCiLoqKisHnzZmzfvh2nT5/OcVKuS1WrVkXnzp3RuXNn1KhRQ+lwiMhEMdknk/bgwQPs378fZ86cwenTp/H69WuDtFuiRAk0bdoUbdu2RfPmzZE/f36DtEtERET6Ex0djSNHjmD//v04duwYnj17ZpB2XVxc4OfnB19fX7Rp0wbly5c3SLtE9HFjsk8fDSEE7t69i4CAAAQFBaXdDxcSEqKzNvbt2wcvLy8UKVJEZ3USERGRcXr58iUuXbqEdu3a6azOMmXKpK0rVKVKFXh7e6NSpUq89Y+IdI7JPn30kpOT8fLlS4SHhyM8PByvXr1CYmIikpKSkJSUhOTkZFhbWyN//vxwcHCAg4MDnJycsGLFCvzxxx9p9VhaWuLRo0coXry4gr0hIiIiQ3r27BnKlSuH5OTktLIBAwZgyJAhiIyMRExMDGJiYvDu3TskJibC0tISVlZWsLKygrW1NQoXLgxXV1e4urqiSJEisLS0VLA3RJSXMNknSsfLly9RunRpyaP/vv32W/zyyy8KRkVERESG9O2332LBggVp2zY2Nnjy5AkKFy6sXFBERFnA54ERpaNIkSIYOHCgpGzFihWIiopSJiAiIiIyqKioKKxYsUJS9sUXXzDRJyKTwGSfKANjxoyBubl52vb79++xdetWBSMiIiIiQ/nrr78QFxeXtm1ubo4xY8YoGBERUdYx2SfKQJkyZdC+fXtJ2Z9//qlMMERERGRQmt/57du3R+nSpRWJhYgou5jsE2Xi888/l2xfuHAB9+7dUyYYIiIiMoi7d+/i4sWLkrIBAwYoFA0RUfYx2SfKROvWreHi4iIpW7dunULREBERkSFoftcXLlwYrVq1UigaIqLsY7JPlAlLS0v07t1bUvb3338rFA0REREZguZ3fe/evfnYPCIyKUz2ibKgS5cuku0bN24gNDRUoWiIiIhIn0JDQxEYGCgp0xwLEBEZOyb7RFlQt25dFChQQFJ2+PBhhaIhIiIifTp06JBku0CBAvDx8VEoGiKinGGyT5QFFhYWaNq0qaTs4MGDCkVDRERE+qT5Hd+sWTNYWFgoFA0RUc4w2SfKopYtW0q2L1y4oFAkREREpE+a3/GaYwAiIlPAZJ8oi+rVqyfZfvr0Kd68eaNQNERERKQPkZGRePbsmaRMcwxARGQKmOwTZVHlypVhZWUlKbtx44ZC0RAREZE+aH63W1tbo1KlSgpFQ0SUc0z2ibLI0tISVatWlZRdv35dmWCIiIhILzS/26tWrcpH7hGRSWKyT5QNNWrUkGwHBwcrFAkRERHpw507dyTbmt/9RESmgsk+UTaULl1ash0eHq5MIERERKQXYWFhkm3N734iIlPBZJ8oG1xdXSXbL1++VCgSIiIi0gfN73bN734iIlPBZJ8oGzS/8Hlln4iI6OOi+d3OZJ+ITBWTfaJsKFKkiGT71atXCkVCRERE+qD53V64cGGFIiEiyh0m+0TZoPnovdTUVIUiISIiIn3Q/G63trZWKBIiotxhsk9ERERERET0kWGyT5QLKpVK6RCIiIhIh/jdTkQfCyb7RNmgVquVDoGIiIgMiLfsEZGpYrJPlA2vX7+WbBcsWFChSIiIiEgfNL/bIyIiFIqEiCh3mOwTZUNoaKhku2jRogpFQkRERPqg+d2u+d1PRGQqmOwTZUNYWJhkm8k+ERHRx0Xzu13zu5+IyFQw2SfKhqdPn0q23dzcFIqEiIiI9EEz2df87iciMhVM9omy4dq1a5Lt8uXLKxQJERER6YPmd7vmdz8Rkalgsk+URUlJSbhx44akzMvLS6FoiIiISB/q1Kkj2b5+/TqSkpIUioaIKOeY7BNl0c2bN2Vf9rVq1VIoGiIiItIHze/2pKQk3Lp1S6FoiIhyjsk+URadOXNGsl2hQgU4OjoqEwwRERHpRcGCBWVT+TXHAEREpoDJPlEW7d69W7LdoEEDZQIhIiIivWrYsKFkW3MMQERkCpjsE2VBRESE7Kx+x44dlQmGiIiI9KpDhw6S7dOnTyMyMlKhaIiIcsZC6QBIOQkJCThz5gyuX7+O4OBgxMTEIDExEVZWVnB1dYWbmxs8PDzg5eWFYsWKQaVSKR2yYvbt2we1Wp22nS9fPrRo0ULBiIiIiEhfWrRoAVtbW8THxwMA1Go19u3bh88//1zZwBQkhMCLFy9w6dIl3L59G2FhYQgPD0dSUhKsra3h4OAAd3d31KxZE76+vrCxsVE6ZKI8j8l+HvTkyRPMnj0bmzdvRnR0dJZe4+bmhpYtW6JDhw5o0aIF8uXLp+cojcuqVask2y1btoStra1C0RAREZE+5cuXDy1btpRM31+1alWeS/bj4uJw+PBh7NmzB4cOHUJYWFiWXlegQAH07NkTP/zwA0qVKqXnKIkoPSohhFA6CDKc5cuXY/To0Xj//n2O67C1tUW3bt0wfPhw+Pj4fPRX/C9dugRvb29J2V9//YXPPvtMoYiIiIhI37Zu3Yru3btLyi5duiR7NN/HRggBf39/LF26FNu2bUub3ZATdnZ2mD9/PoYOHarDCIkoq5js5yFz587FuHHjdFpnjRo1MHbsWPTo0QPm5uY6rdtY9OnTBxs3bkzbLlasGEJCQmBpaalgVERERKRPycnJKFOmDF68eJFW1qdPH6xfv17BqPQnNTUVW7Zswdy5c3Hjxg2d1j137lyMGTNGp3USUeaY7OcRx48fR9OmTWXlKpUKderUQc2aNeHm5gZra2vEx8cjLCwMISEhuHLlSpam+leuXBlTpkzBZ599BjOzj2fdx5CQEFSqVAnJyclpZT///DN++OEHBaMiIiIiQ/j5558xYcKEtG1LS0vcu3cPpUuXVi4oHUtNTcW2bdswbdo03LlzJ9PjCxQogNq1a6NMmTJwc3ODra0tEhMTERYWhuvXr+Py5cvQll4cO3YMTZo00UcXiCgdTPbzACEE6tWrB39/f0n5kCFDMHHiRJQsWTLd16rVaty/fx8HDx7Enj17cPr0aaSmpqZ7fK1atfD777/Dx8dHZ/Er6bPPPsO2bdvStm1tbfHs2TM4OTkpGBUREREZQmRkJIoXL46EhIS0ss8++wx//fWXglHpjr+/P7788ktcvXo13WPMzc3h5+eHDh06oFWrVqhQoUKGF3aePn2KmTNnYsWKFZJyHx8fXLhw4aO//ZPImDDZzwOCg4Ph4eEhKcvp1elXr17hjz/+wPLlyxESEqL1GJVKhcGDB2PWrFkmnRSfPXsWvr6+krKRI0diwYIFygREREREBjdq1CgsXLhQUnb27Fk0aNBAoYhyLzIyEhMmTMDKlSu1XoUHgDJlymDo0KEYMGAAChcunO02NGdFAMDt27fh7u6eo5iJKPuY7OcBGzZsQN++fdO2XV1d8ezZM1hY5PxhDB8eQTN16lRcv35d6zFFihTBn3/+iVatWuW4HaWkpKSgbt26uHLlSlpZwYIF8eDBAxQqVEjByIiIiMiQ3rx5g/Lly+Pt27dpZXXq1MGFCxdyNZZSysGDB/H555/j5cuXWvd7enpiypQpaNeuXa5uzUxJSUGJEiUQHh6eVrZ+/Xr06dMnx3USUfZ8PDdXU7o0H5NSpUqVXH85mZmZoUOHDrh69Sp27typ9Szty5cv0bp1a4waNUoy/c0UzJo1S5LoA8C0adOY6BMREeUxhQoVwtSpUyVlly9fxs8//6xMQDmUkJCAkSNHonXr1loTfXd3d+zatQtXrlxBhw4dcr0Gk4WFhWxm6X8TfyLSPyb7eUD+/Pkl21FRUTqrW6VSoVOnTrh+/TrmzJkDOzs72TELFy6Ej48PHj9+rLN29encuXOYNm2apKxy5coYNmyYQhERERGRkoYPH47KlStLyqZNm4bz588rFFH2hISEwMfHB4sWLZLts7Ozw5w5c3Djxg107NhRp/fUay7yrDkmJSL9YrKfB2iuGHv9+nXJVDRdsLKywtixYxEcHIw2bdrI9gcGBsLLywunT5/Wabu6FhUVhT59+kCtVqeVmZub448//uCj9oiIiPIoS0tLrFmzRvKY4dTUVPTu3VunF1H04fTp0/D29kZgYKBsX5s2bXDnzh2MHTtW5+Oct2/fym71LFWqlE7bIKKMMdnPA3x9fWFjY5O2nZqaitWrV+ulrRIlSmDfvn1YsmSJpE0AiIiIQLNmzfTWdm4lJiaiY8eOshkIU6dORd26dZUJioiIiIxCvXr1MGXKFEnZ48eP0alTJyQmJioUVcZWrVqFpk2bIiIiQlJuY2OD3377Dfv27UPx4sX11vZ/n+Bka2sLPz8/vbRFRNpxgb48onPnzti1a1fatouLC+7cuaPXe9CDgoLQrVs3BAcHy/bNnDlTtkKrktRqNXr16iV7lI6vry9OnDghOZNPREREeVNqaio++eQTnDlzRlLeo0cPbNy4Mdf3uevSrFmzMHHiRFm5h4cHtm7diipVquit7Tdv3qBSpUqSkwydO3fGjh079NYmEckZz38k0ivNx+y9fv0aw4cPT/dxK7pQpUoVXLx4Ueu0/okTJ2LChAl6bT+rhBAYPXq0LNF3dXXFxo0bmegTERERgH9v7du4cSNcXV0l5Vu2bMGYMWOMZlwzYcIErYl+27ZtceHCBb0m+kIIDBs2TDabICePfCai3GGyn0d4e3ujffv2krKtW7fq/Znx+fPnx549ezB27FjZvp9//hmjRo1S9IsxNTUVw4YNk/0e7O3t8c8//6BEiRLKBEZERERGqUSJEti/fz/s7e0l5b/++iuGDx8umbpuaEIIjBo1SuuTAsaNG4fdu3frfZG8BQsWYNu2bZKyDh06wMvLS6/tEpEcp/HnIS9evEC1atVki/MZ6pmnixYtwsiRI2XlkyZNwvTp0/XevqbExET07t1bNqXMwsIC+/fvR4sWLQweExEREZmGQ4cOoW3btkhJSZGUd+3aFRs2bIC1tbXBY5o0aRJmzpwpK1+0aBG++eYbvbe/fv169OvXT1JWqFAh3Lx5E0WLFtV7+0QkxSv7eUixYsWwcuVKWXm/fv3w22+/6b39ESNGYPXq1bJHusyYMQOLFy/We/v/FRoaiubNm8sSfTMzM/zxxx9M9ImIiChDLVu2xB9//CG7T3/79u1o3rw5QkNDDRrP4sWLZYm+mZkZVq9ebZBEf8mSJejfv7+sfMWKFUz0iRTCZD+P6dKli2xqlxACX3/9NUaPHo3k5GS9tj9w4EBs2rRJ9sU4cuRI2T3z+nLkyBHUrFlTtriOtbU1tm/fbpBZDkRERGT6+vTpg23btsHKykpSfubMGXh6euLo0aMGiWPLli2y2ZNmZmbYuHEjBg4cqNe2k5OT8d133+Gbb76R3Zo5e/ZsdOnSRa/tE1H6OI0/DxJCYMyYMfjll19k+7y9vbF582aULVtWrzGsXLkSQ4YMkZRZW1vj7NmzqFOnjl7aTExMxIwZMzBz5kzZl5GDgwP27NmDTz75RC9tExER0cfrxIkT6NChA2JiYiTlKpUKEydOxKRJk/Q2rf/y5cto2LCh7PF/K1euxKBBg/TS5gcPHz5Er169EBAQINv33XffYd68ebIZnURkOLyynwepVCrMmzcPU6dOle0LCAhAzZo1sXDhQtk9aLo0ePBg2X36iYmJ6NKli2z1Vl04duwYqlevjhkzZsgS/RIlSuDkyZNM9ImIiChHPvnkE5w8eVK2sK8QAjNmzECNGjVw7NgxnbcbERGBLl26yBL9GTNm6DXRT0lJwcKFC+Hp6ak10Z82bRoTfSIjwCv7edyaNWswbNgwrdP3q1evjkWLFqFRo0Z6afvD7QO///67pLxZs2Y4ePCgTh559+TJE4wfPx6bN2/Wur9t27ZYu3YtChUqlOu2iIiIKG+LjIxE//79sX//fq37e/bsidmzZ6NkyZK5bis1NRWtWrWS3Srw5ZdfYsmSJXpLtE+dOoVvvvkGN2/elO2ztLTE8uXLMWDAAL20TUTZwyv7edzAgQNx4cIFlC9fXrYvMDAQjRs3RtOmTXHq1Cmdt61SqbBgwQL4+vpKyo8ePZrr1flDQkIwePBglC9fXmuib25ujrlz52Lv3r1M9ImIiEgnnJycsHfvXsydO1frRYvNmzejfPnyGDJkCEJCQnLV1vTp02WJvp+fHxYsWKCXRP/UqVNo0qQJGjdurDXRr1ChAi5cuMBEn8iI8Mo+AQBiYmIwatQorFmzJt1j6tevj+HDh6Nr166wsbHRWdvh4eGoVasWwsLC0srMzc0REBCAWrVqZbkeIQT8/f2xbNkybNiwId3n3Pr4+GDp0qXw9PTMdexERERE2ly7dg3Dhw+Hv7+/1v3m5ubo06cPhg0bBh8fn2wl6FeuXIGPj49krOPm5oarV6/C1dU117F/kJCQgO3bt2Pp0qU4f/58uscNHDgQCxcuhL29vc7aJqLcY7JPEmfPnsVXX32FwMDAdI8pVKgQ+vXrh88++ww+Pj6ylfVz4ty5c2jUqJHkS6tq1aq4fPlypgvavHr1Chs3bsSqVatw+/btdI8rWLAgZs+ejUGDBukkZiIiIqKMqNVqrFy5Ej/88AOioqLSPc7DwwODBg1Cnz594OLikmGdiYmJqF27NoKCgtLKLCwscPLkSTRo0EAnMfv7+2Pr1q1Yt24d3rx5k+6x1atXx2+//YaGDRvmul0i0j0m+ySTkpKCFStWYObMmZk+I9bNzQ2dOnXCp59+igYNGsDR0THH7U6ZMgU//fSTpGz8+PGYNWuWpEwIgRs3bmD//v3Yv38/Ll68KFt0779sbGwwZMgQTJw4EYULF85xfEREREQ58erVK8ycORMrVqxAQkJCusepVCrUrVsXbdq0Qdu2bVG9enXZFf8JEybIHqM8ZcoUrQsvZ1VUVBTOnTuHf/75B7t27ZLMttSmaNGimDhxIoYMGQILC4sct0tE+sVkn9KVkJCA1atXY/bs2Xj+/Hmmx6tUKlSvXh2+vr7w9PRElSpV4OHhAQcHhyy1l5SUBG9vb9y4cSOtzMzMDEeOHEFCQgIuXbqU9vPq1atM67O1tcXw4cMxduxYnU5pIyIiIsqJsLAwzJs3D0uXLkV8fHymxxcuXBheXl5pP9bW1mjRogXUanXaMTVr1oS/vz+srKyyFMO7d+8QHByMoKAgXLt2DWfOnEFgYGCGF04+KF68OMaPH4+BAwfq9JZOItIPJvuUqaSkJOzZswfLly/P0WNjihcvjuLFi8PV1RWurq4oXLgwbG1tYWlpCSsrK1hYWCAuLg4xMTE4e/Zsrh9NU65cOQwcOBCDBg3ilXwiIiIyOi9fvsTq1auxZs0aPHz4MFd1NWvWDA0aNICDgwPy5cuHlJQUJCUlITk5GfHx8Xj16hXCw8MRHh6O58+fZ+kCjqamTZti6NCh6NChQ5ZPKhCR8pjsU7bcv38fa9euxc6dOxEcHKx0OGny5cuHTp06YdCgQfDz8+M9+URERGT01Go1Tp06hdWrV2PXrl2Ii4tTOqQ07u7u6Ny5M/r3748KFSooHQ4R5QCTfcqx4OBg7Nq1C4cOHYK/vz8SExMN2n7ZsmXT7mlr1KhRpgv5ERERERmrhIQEnDp1Km1NokePHhm0fWtra/j4+KBly5bo3LkzKleubND2iUj3mOyTTiQkJODy5cs4deoUrl69iqCgIDx48CDdx9/l1Lfffgtvb294eXmhbNmyenmOLBEREZGShBB49OgRLl26hICAAPz66686rd/c3Bzly5dHlSpVUKtWLTRq1ChtTQAi+ngw2Se9SUxMxL179/DgwQO8fPkS4eHhCAsLQ0REBJKSktLuJ0tOToatrS0cHBzSfpydnWWrytasWRNXr15lgk9ERER5hhACnp6ekgWMAWDq1KmIiIhATExM2k98fDwsLS3T1kWysrKCs7Mz3Nzc4OrqiiJFiqB8+fKoWLEiE3uiPIDJPhmtHTt2oGvXrpKygwcPomXLlgpFRERERGRYBw8eROvWrSVlO3bsQOfOnRWKiIhMBZN9Mlqpqalwd3fH/fv308oaN26MEydOKBgVERERkeF88sknOHnyZNp2xYoVcfv2bZibmysXFBGZBC5ZTkbL3Nwc48aNk5SdPHkSd+/eVSgiIiIiIsO5e/euJNEHgHHjxjHRJ6IsYbJPRq1v375wcXGRlK1bt06haIiIiIgMZ+3atZLtwoULo0+fPgpFQ0Smhsk+GTVra2vZl9q6det0vso/ERERkTFJTU2VXeDo06cPF9Yjoixjsk9Gr3///pLt58+f4/jx4wpFQ0RERKR/x48fx4sXLyRlmmMiIqKMMNkno1ejRg3UrFlTUrZz505lgiEiIiIygB07dki2PT09Ub16dYWiISJTxGSfTELPnj0l2wcPHgQfJEFEREQfIyEEDh06JCnr0aOHQtEQkalisk8mQfP5so8fP5Y8ko+IiIjoY3Hv3j08fvxYUvbpp58qEwwRmSwm+2QSqlatiqJFi0rKDh48qFA0RERERPqjOcYpVqwYqlSpolA0RGSqmOyTSVCpVGjVqpWkTPO5s0REREQfA80xTqtWraBSqZQJhohMFpN9Mhl+fn6S7evXrysTCBEREZEeaY5xfH19lQmEiEwak30yGZor8oeEhCAqKkqRWIiIiIj0ISoqSna/vqenpzLBEJFJY7JPJsPd3R2WlpaSssDAQIWiISIiItK9GzduSLatrKxQuXJlhaIhIlPGZJ9MhpWVlWxxGib7RERE9DG5efOmZLtKlSqwsrJSKBoiMmVM9smkVKhQQbIdGhqqUCREREREuvfixQvJdvny5RWKhIhMHZN9Mimurq6S7fDwcIUiISIiItI9zbGNm5ubQpEQkaljsk8mhck+ERERfcw0xzaaYx8ioqxisk8mhck+ERERfcyY7BORrjDZJ5Nib28v2U5MTFQoEiIiIiLd0xzbaI59iIiyisk+ERERERER0UeGyT4RERERERHRR4bJPpkUIYTSIRAREREZDMc+RJRTTPbJpERHR0u28+XLp1AkRERERLqnObbRHPsQEWUVk30yKWFhYZLtokWLKhQJERERke5pjm00xz5ERFnFZJ9MSmhoqGTbzc1NoUiIiIiIdE8z2dcc+xARZRWTfTIpL168kGzzyj4RERF9TDQvZGiOfYiIsorJPpmUW7duSbZLliypUCREREREuleqVCnJtubYh4goq5jsk8l4/fo1njx5IimrXbu2QtEQERER6V6tWrUk248fP0ZERIRC0RCRKWOyTybjypUrkm1bW1u4u7srFA0RERGR7nl4eMDW1lZSpjkGIiLKCib7ZDIuXrwo2a5VqxYsLCwUioaIiIhI9ywsLODp6Skp0xwDERFlBZN9Mhn79u2TbHt7eysUCREREZH++Pj4SLY1x0BERFnBZJ9MwpMnT3D16lVJWbt27RSKhoiIiEh/2rZtK9m+cuUKnj59qlA0RGSqOAdaYQkJCQgODsbdu3fx/v17JCYmIl++fHB1dUXRokVRqVIlWFtbKx2m4nbv3i3ZLlSoEHx9fZUJhoiIiEiP/Pz8ULBgQbx9+zatbPfu3RgxYoSCURmHxMRE3L17F6GhoQgPD0dcXBysra1hZ2eHSpUqwd3dHTY2NkqHSWQUmOwrIDExEdu2bcOff/6JkydPIjU1Nd1jLS0tUaNGDfj4+KB169Zo2rRpnvsHJoTAhg0bJGXt2rXj/fpERET0UbKwsEC7du2wbt26tLINGzbgm2++gUqlUjAyw0tISMCxY8dw4MAB+Pv748aNG0hOTk73eHNzczRu3Biff/45unXrxotmlKephBBC6SDykjNnzuCLL77A/fv3c/R6Ozs7tG7dGgMHDkSLFi1gbm6u4wiNz/nz59GgQQNJ2d69ezmNn4iIiD5a+/btQ/v27SVl58+fR7169RSKyHBSU1Nx+PBhrFmzBgcOHMD79+9zVE/FihWxatUqzgalPIvJvgFt2bIFvXv3hlqt1kl9pUuXxtChQzFs2DA4OjrqpE5j1L17d2zdujVtu1SpUnj48GGeONFBREREeVNKSgrKlSsnuVe/e/fu2LJli4JR6VdUVBSWLVuG5cuX4/Hjxzqp08zMDBs3bkSPHj10Uh+RKWGybyDnzp1D48aNkZKSonV/2bJl4ezsDGtra7x79w7h4eF4+fJlluouUKAAvvvuO4wcORIFChTQZdiKe/LkCcqVKye51WHu3LkYM2aMglERERER6d/cuXMxbty4tG1zc3M8fPgQpUqVUjAq3YuOjsbChQvxyy+/IDo6OkuvKVKkCFxdXZE/f34kJiYiIiICjx490nqshYUFTp06hfr16+sybCKjx2TfAIQQqFu3LgICAiTlXl5eGD16ND799FM4ODjIXhcdHY0rV67A398f+/fvx/nz55HRn6tgwYL48ccf8c0333w097P37t0bmzZtStu2s7PDs2fPULBgQQWjIiIiItK/t2/fonjx4oiLi0sr6927t2wtI1OVkpKCxYsXY/r06ZLFCDWpVCo0aNAAn376KXx8fFC7dm2tF7hiYmLwzz//YP78+bh06ZJkn4+PDy5cuJDn1jygvI3JvgFcuHBBdibxq6++wsKFC7M1Ff3Vq1fYsWMHli9fjhs3bqR7XPXq1fH777/L7nM3NRcvXpTdlzZixAgsXLhQoYiIiIiIDGvEiBFYvHixpOzixYvw8fFRKCLdOHv2LL788kvcvHkz3WNq1KiBoUOHokuXLihcuHCW605NTcXIkSPx22+/ScrzypoHRB8w2TeA+fPnS6adly5dGvfv38/x1XchBAICAjB//nxs27Yt3eOGDh2K+fPnw87OLkftKEkIgfr16+PixYtpZQUKFMD9+/fh4uKiYGREREREhvP69WuUL18e7969SyurW7cuzp8/b5JXqd+/f4/vvvsOK1asSPeYzz77DN999x28vb1z3Mfk5GRUrFhRcu///Pnz8d133+WoPiJTZKZ0AHmB5sr7TZo0ydU0e5VKBR8fH2zduhWBgYHo0qWL1uOWL1+OWrVq4cqVKzluSymLFy+WJPoA8OOPPzLRJyIiojzFxcUFP/74o6Ts4sWLWLJkiUIR5dzly5dRq1atdBP9Ll26IDAwEH/99Rd8fHxydTLD0tISn3zyiaTs3r17Oa6PyBQx2TcAGxsbybYuJ1NUq1YN27dvx9mzZ1G9enXZ/nv37qFu3bqYN2+eTtvVp8DAQIwdO1ZSVr58eXzzzTcKRURERESknG+++QblypWTlI0dOzbDKfDGRAiBefPmoV69eloT7urVq+Ps2bPYvn07qlWrptN2/8vW1lZndROZAib7BlCkSBHJ9uXLl3XeRoMGDXDlyhX8+uuvsmn7KSkpGDt2LPr27YuEhASdt61L8fHx6NmzJ5KSkiTlS5cuhZWVlUJRERERESnH2toaS5culZQlJiaiZ8+eiI+PVyiqrImPj0efPn0wduxY2VOp7OzssGDBAly5ckUva01pjrmzc98/0ceAyb4B+Pn5SbZv3ryJwMBAnbdjYWGBUaNG4fr16/Dy8pLt37hxIxo1aoSwsDCdt60LarUaAwYMwO3btyXlo0ePRrNmzRSKioiIiEh5zZs3l91vHhQUhAEDBkCtVisUVcbCwsLQuHFjyZOVPvD29sb169cxcuRIvTxFKjAwELdu3ZKUNWrUSOftEBkzLtBnAKmpqXB1q9CMCQAAYl5JREFUdUVERERaWefOnbFjxw69tZmcnIypU6fi559/lk1hKlGiBI4ePYqKFSvqrf2cGD16NH755RdJmaenJy5cuABra2uFoiIiIiIyDomJiahbty6uX78uKR89ejTmzZunTFDpuHv3Lpo1a4bnz59LylUqFSZMmIApU6bA0tJSb+137twZu3btStt2cXFBWFhYtp6ERWTqeGXfAMzNzWX3m+/cuVPyD0jXLC0tMXPmTOzduxf29vaSfc+ePYOfn59R3ee1YMECWaJvb2+PTZs2MdEnIiIiwr/T+Tdv3iwb282fPx8LFixQJigtAgMD4efnJ0v0HRwcsHfvXsyYMUOvib62cfY333zDRJ/yHF7ZN5Do6GiUKVMGb9++TStzcnJCQEAAypYtq9e2b926hfbt2yMkJERSXqhQIRw6dAh16tTRa/uZ0Xw0IfDvLQn//PMPmjdvrlBURERERMbp8OHDaNOmjeweeGN4tNylS5fQsmVLyZgXAMqWLYu9e/eiSpUqem3/0aNH8Pb2RmRkZFpZwYIFERISggIFCui1bSJjwyv7BlKgQAHZlevIyEi0aNECL1++1GvbVatWRUBAgCypf/PmDZo1a6bYFX4hBMaPHy9L9AFg9erVTPSJiIiItGjRogVWrVolKx89ejQmTJig2BOYAgMD0bx5c1mi7+XlBX9/f70n+i9fvkSLFi0kiT4A/PLLL0z0KU9ism9A/fv3R9euXSVlDx8+RJMmTfDs2TO9tu3s7Ixjx46hYcOGkvLo6Gi0bNkSjx8/1mv7mhISEjBo0CDMnj1btm/WrFno16+fQeMhIiIiMiX9+/fHzJkzZeU///wzBg0ahMTERIPGExISglatWiE6OlpS7uvri6NHj8LZ2Vmv7T99+hRNmjTBw4cPJeVdu3ZF//799do2kbHiNH4Di46ORqNGjXDjxg1JedGiRbF//37UrFlTr+2/f/8enTp1wpEjRyTlFStWxNmzZ+Hi4qLX9oF/T3B89tlnuHr1qmzfnDlzMHbsWL3HQERERPQxmDNnDr7//ntZea1atbB161aUK1dO7zG8fv0aDRo0wP379yXlLVq0wK5du5AvXz69tn/9+nW0adMGoaGhkvIaNWrg1KlTvKpPeRav7BtYgQIFcPDgQdl9+qGhoahXrx5+//13vU69srOzw549e2RX+O/du4cOHTro/Szwtm3bUKtWLVmib2ZmhjVr1jDRJyIiIsqGcePGYfXq1TAzkw7rr169ilq1amH79u16bT8xMRHt27eXJfq+vr7YvXu3XhN9IQR+++031K1bV5boly1bFgcPHmSiT3kak30FuLq64vjx43B3d5eUJyQk4KuvvkLHjh1lq5fqkq2tLfbu3YuqVatKyi9cuIBvv/1WL20+e/YMnTt3xmeffYZ3797J4tmxYwcGDBigl7aJiIiIPmYDBw7Ejh07YGtrKyl/9+4dunXrhi5duujtltFRo0bh4sWLkrJq1aph7969snh06fnz5+jYsSO+/vpr2cUqd3d3HD9+HK6urnprn8gUMNlXSKlSpXD27Fn4+vrK9u3duxeVK1fGnDlzkJSUpJf2CxYsiIMHD6JUqVKS8qVLl2Lt2rU6ayc5ORnz5s2Du7u71kcNuru749KlS+jYsaPO2iQiIiLKazp27IiAgABUrlxZtm/nzp1wd3fHvHnzkJycrLM2//zzTyxbtkxSVqpUKRw8eBCOjo46a+e/kpKS8L///Q+VK1fG3r17Zfv9/Pxw7tw52RiXKC/iPfsKS0xMxPfff4+FCxdq3V+2bFlMnDgRffv21cvzSG/cuIF69eohPj4+rczGxgYXL15EjRo1clxvUlIS1q1bh1mzZske+fdBv3798Pvvv8POzi7H7RARERHR/4mNjcWXX36J9evXa91ftmxZTJgwAX379oWVlVWO27l+/Trq1q0ruapua2uLCxcu5GoMmZ7k5OS0seWjR4+0HjNy5Ej873//g7W1tc7bJzJFTPaNxP79+/H5558jIiJC6/7SpUtjzJgx6NOnj87vPdqwYQP69u0rKatWrRouX76c7S+B2NhYbNiwAbNnz8aTJ0+0HuPs7IxffvkFffr0gUqlynHcRERERCQnhMCGDRvw3XffpTu2LFWqFH744Qf07ds32xdeEhMT4eXlJXt884YNG9C7d+8cx61NdHQ0NmzYgHnz5qX79ChnZ2f8+eefaNOmjU7bJjJ1TPaNSEREBCZMmIBVq1alu0hfvnz50LNnTwwaNAg+Pj46S5a/+eYbLFmyRFI2adIkTJ8+PdPXCiEQEBCA1atXY/PmzYiNjdV6nEqlwpAhQzBr1iwUKlRIJ3ETERERkXaRkZGYMGECVqxYke4xDg4O6NGjBwYNGgQvL68sjS0nTZoke+zfN998g0WLFuU6ZuDfsaW/vz9WrVqFzZs3Iy4uTutxKpUKgwYNwqxZs/T+aD8iU8Rk3wgFBARgxIgR8Pf3z/C4EiVKoGPHjujcuTMaNGiQq2n+SUlJ8PLyQmBgYFqZubk5Ll68iDp16siOT0lJwYULF7B//37s3bsXwcHBGdbv4+ODBQsWoG7dujmOkYiIiIiy7+LFixg1alSmY0t3d3e0b98ebdq0Qb169WBhYSE75tKlS6hXrx5SU1PTymrUqIGAgIBc3RaQnJyMc+fOYefOndi9e3emCwr6+Phg0aJF8Pb2znGbRB87JvtGSgiBQ4cOYdq0abIVTrXJly8f6tevD19fXzRs2BA1atSAk5NTttq8fv06vLy8kJKSklZWvXp1XL16FfHx8bh69SouXboEf39/HD16FG/fvs20zvr162PKlClo3rw5p+wTERERKUQIgSNHjmDatGk4f/58pscXLFgQzZo1g4+PD7y8vFCrVi3Y2NigVq1akun7FhYWuHz5crbv04+MjMSNGzdw9uxZnD59GhcuXEj3Cv5/1atXD1OmTEGLFi04tiTKBJN9IyeEwPHjx/H7779jz549krOomSlSpAiqVKmCypUro2jRonB1dYWrqytcXFxgbW0NKysrWFlZwdzcHLGxsYiJicHYsWNx7tw5WV1mZmZQq9VZatfMzAytWrXCd999hyZNmvAfMREREZGR+DC2/OWXX3Dw4MFsje+0HduwYUPMmTMHDg4OsLe3R2pqKpKSkpCUlITExES8fv0a4eHhCA8PR2hoKIKDg3H79m28fPkyyzGbm5ujQ4cO+Oqrr/DJJ59wbEmURUz2TUhYWBjWrFmDtWvX4v79+0qHI1O2bFkMHDgQ/fv3R/HixZUOh4iIiIgy8Pz5c6xduxarV69O9+lJSqpQoQL69++PgQMHws3NTelwiEwOk30TJITA7du3sXPnTuzatQvXrl1TLJYaNWqgTZs2aNOmDerWrQszMzPFYiEiIiKi7FOr1bh48SL279+P/fv348aNG4rF4unpic6dO6NTp07w8PDgVXyiXGCy/xGIiIhIu9/p9OnTuHnzJpKSkvTSVs2aNeHl5QUfHx+0aNECJUqU0Es7RERERKSMZ8+e4fDhw/D398elS5dw/fp1vbRjZWWFatWqwc/PD35+fmjYsCFX1SfSISb7H6GUlBQ8fPgQQUFBCAoKwpMnTxAWFpZ2v1RkZCSSkpJkj/ezs7ODg4MDHBwcEBsbi7CwMMn+ESNGYOHChYbsChEREREpbMSIEVi8eLGkrGjRorCzs0NMTAxiYmLw/v17yX6VSgUrKys4OTmlrRvl5uaGUqVKoUqVKqhSpQrKlSundcV/ItINJvt5WGpqKpKTk5GSkgJbW1uYm5tL9g8ZMgQrV65M286fPz+ePn2KAgUKGDpUIiIiIlJAVFQUSpYsiZiYmLSywYMHY8WKFZLjUlNTER8fDwsLC1haWsrGlURkeLzBOg8zNzeHjY0N7O3ttf5DHjt2rOQ+qXfv3mHp0qWGDJGIiIiIFLR06VJJom9mZoZx48bJjjM3N4e9vT1sbGyY6BMZCSb7lK4KFSqga9eukrIlS5Zk6/F/RERERGSaUlNTsWTJEklZ165dUb58eYUiIqLsYLJPGfr+++8l2y9evMCxY8cUioaIiIiIDOXo0aMIDQ2VlGm7qk9ExonJPmWodu3aqFWrlqTszz//VCYYIiIiIjIYzTFf7dq1Ubt2bWWCIaJsY7JPmerfv79ke9euXYiOjlYoGiIiIiLSt6ioKOzevVtSpjkmJCLjxmSfMtWrVy9YWlqmbSckJGDPnj0KRkRERERE+rRnzx4kJCSkbVtaWqJnz54KRkRE2cVknzLl7OyM1q1bS8oOHjyoUDREREREpG+aY73WrVvD2dlZoWiIKCeY7FOWtGnTRrJ9+PBhrspPRERE9BFKTU3F4cOHJWVt27ZVKBoiyikm+5QlLVu2lGxHRkbi6tWrCkVDRERERPpy5coVvHnzRlKmORYkIuPHZJ+ypFSpUqhcubKk7MiRIwpFQ0RERET6ojnGc3d3R8mSJRWKhohyisk+ZVmzZs0k27yyT0RERPTx0RzjNW3aVKFIiCg3mOxTltWqVUuyff36dWUCISIiIiK90Rzj1a5dW5lAiChXmOxTltWsWVOy/fDhQ7x7906ZYIiIiIhI56Kjo/Ho0SNJmeYYkIhMA5N9yjIPDw9YWFhIygIDAxWKhoiIiIh0TXNsZ2lpCQ8PD4WiIaLcYLJPWWZtbY3y5ctLyp48eaJQNERERESka5pju/Lly8PKykqhaIgoN5jsU7YULVpUsh0eHq5QJERERESka5pjO82xHxGZDib7lC2urq6SbSb7RERERB8PzbGd5tiPiEwHk33KFs1/+GFhYQpFQkRERES6xmSf6OPBZJ+ypVChQpJtrsZPRERE9PHQHNtpjv2IyHQw2adsUalUGW4TERER0ceDYz0i08Vkn7JFCKF0CERERERkIBz7EZkuJvuUKzzbS0RERPTx4NiO6OPBZJ+yJT4+XrJtYWGhUCREREREpGuWlpaSbc2xHxGZDib7lC2aq++7ubkpFAkRERER6RqfvET08WCyT9nCZJ+IiIjo46U5tmOyT2S6mOxTtoSGhkq2ixYtqlAkRERERKRrmmM7zbEfEZkOJvuUZampqXj48KGkjMk+ERER0cejWLFiku0HDx5ArVYrFA0R5QaTfcqyu3fvIjY2VlJWvXp1haIhIiIiIl2rVq2aZDs2NhZ3795VKBoiyg0m+5Rlly9flmwXL15ctogLEREREZkuNzc32dV9zTEgEZkGJvuUZZcuXZJse3l5KRQJEREREemL5hgvICBAoUiIKDeY7FOWCCFw8OBBSVmdOnUUioaIiIiI9EVzjHfo0CEIIRSKhohyisk+Zcnt27fx4MEDSVmLFi0UioaIiIiI9EVzjHf//n0EBwcrFA0R5RSTffx71frt27cIDQ1FSEgIIiIiePZSw65duyTbxYsXR+3atRWKhoiIiIj0pXbt2rL79jXHgnmdEAIREREICQlBaGgo3r59y/yBjI6F0gEo5dGjR1i3bh1OnDiBwMBAREVFSfZbWlqiWLFiqFGjBry9vVGvXj00aNAAVlZWygSsICEEtm3bJinr2LEjVCqVQhERERERkb6YmZmhY8eO+O2339LKtm7digkTJuTJ8V9SUhLOnTuHCxcuICAgADdu3MCLFy+QnJwsOc7R0RHVq1fHJ598gn79+qFs2bIKRUz0L5XIY6egXrx4gZEjR2LHjh3Zfm3+/Pnx6aefonPnzmjfvj2sra31EKHxOX36NBo1aiQpO3bsGJo0aaJQRERERESkT8eOHUOzZs0kZadPn4avr69CERlWYmIi9u7di507d+Kff/7Bu3fvsl1Hly5dsGjRIhQtWlQPERJlLk8l+6dPn0b79u0RHR2d67pcXFwwcOBADBky5KM/a9elSxfs3Lkzbbts2bK4d+8ezM3NFYyKiIiIiPQlNTUVFStWxKNHj9LKunTpgu3btysYlf49evQIy5cvx5o1axAREZHr+goUKIC9e/fCz89PB9ERZU+eSfYDAwPRsGFDxMTE6LRelUqFXr16YfLkyahYsaJO6zYGjx8/Rrly5aBWq9PKFixYgJEjRyoYFRERERHp24IFC/Dtt9+mbZuZmeHRo0coVaqUglHpx927d/HTTz9h8+bNOr/33sHBAefOnUO1atV0Wi9RZvJEsi+EQN26dWXPCC1YsCB69+6NFi1aoEqVKihYsCCsrKzw5s0bhIWF4c6dO7h06RIuXLiAK1euZNiGmZkZ+vTpgxkzZqBEiRL67I5BDRgwAH/++WfatoODA54/f478+fMrFxQRERER6d27d+9QvHhxycWyAQMGYM2aNQpGpVvPnj3DpEmTsGHDBsnFLW1q166NevXqwcvLC5UrV4abmxsKFSqEpKQkvH37FkFBQTh8+DA2bNggWw/Mx8cHFy5cyJNrHpBy8kSyr+2eozZt2mDt2rVwcnLKUh2hoaHYt28ftmzZgpMnT6Z7nJ2dHSZPnoxRo0aZ/GJ+V65ckT1nddSoUfj1118VioiIiIiIDGnUqFFYuHBh2rZKpcLly5dRq1YtBaPKvaSkJPz666/46aefEBcXl+5xjRs3Ro8ePdCuXbss33sfERGBzz//HPv375eUc80rMrQ8keyPGzcOc+fOTdsuV64cbt26BRsbmxzVd+fOHSxfvhyrV69O97YAd3d3rFq1CvXr189RG0oTQqBRo0Y4c+ZMWpmDgwPu37+PIkWKKBgZERERERlKeHg4KlSogNjY2LQyPz8/nDx50mSvUp8/fx6DBg1CcHCw1v0ODg744osvMHToUFSuXDlHbSQkJKBKlSqSNQ/Gjh2LOXPm5Kg+opwwUzoAQ7h165Zku0ePHjlO9AGgcuXK+PXXXxESEoLx48fDzs5OdkxwcDB8fX0xdepUpKSk5Lgtpaxbt06S6APAxIkTmegTERER5SGurq6YOHGipOz06dNYt26dQhHlXEpKCqZMmQJfX1+tib6dnR0mTJiAkJAQ/PrrrzlO9AHAxsYGPXv2lJRp5iRE+pYnkn3NZNvR0VEn9To5OWHWrFkICQnB0KFDZWc31Wo1pk2bBj8/P4SEhOikTUN48OABvv76a0lZ6dKluSgfERERUR40atQolC5dWlL29ddf4+HDh8oElAOPHj2Cr68vfvrpJ9m9+SqVCkOHDkVISAhmzpyZ5dt8M6OZc6SmpuqkXqKsyhPJvuYH9v79+zqt38XFBcuWLcPFixe13r904cIF1KlTBydOnNBpu/qQnJyMXr16SaZqAf+uxpqb2RBEREREZJpsbGxkazbFxsaiV69eSE5OViiqrDt+/Djq1KmDixcvyvbVqlULFy9exLJly+Di4qLTdu/duyfZ1tVJBKKsyhPJfu3atSXbf//9t17+MXl7eyMgIAAzZsyQPYP+zZs3aNGiBZYuXarzdnVp7NixuHTpkqTsiy++QIcOHRSKiIiIiIiU1rFjRwwcOFBSFhAQgHHjxikUUdb8/vvvaNGiBd6+fSspNzc3x4wZMxAQEABvb2+dt5ucnCxboM/UFzUk05Mnkv02bdpItkNDQ7F+/Xq9tGVubo6JEyfi3LlzKFeunGRfSkoKvvzyS4wYMSLTR3so4ddff5WstgoAFStWxIIFC5QJiIiIiIiMxsKFC1GhQgVJ2YIFC4xyrKhWqzFixAh89dVXsunz5cqVw/nz5zFx4kTZBTpdWbduHUJDQyVlmjkJkb7lidX4hRBo0KABLly4kFbm5uaGwMBAODs7663dmJgY9O3bF3v27JHt69evH1avXg0LCwu9tZ8d27ZtQ/fu3fHft4OlpSUuXLggmxlBRERERHnTlStXUK9ePcksWZVKha1bt6Jr164KRvZ/UlJSMHDgQK0X9zp06ID169fDwcFBb+1HRESgWrVqCA8PTyurV68ezp8/r7c2ibTJE1f2VSoVpkyZIikLCwvD4MGD9XqF3cHBATt37sSECRNk+9atW4devXohKSlJb+1n1Z49e9CnTx9onvdZtWoVE30iIiIiSlO7dm2sXLlSUiaEQO/evbF3716Fovo/SUlJ6Nmzp9ZEf+LEidi5c6deE321Wo3BgwdLEn0AmDp1qt7aJEpPnkj2AaBFixZo3bq1pGz37t34/vvv9dqumZkZZs6ciQ0bNsiu4m/btg3dunVT9NF8f/zxBzp37iw76TBz5kz069dPoaiIiIiIyFj1798fM2bMkJQlJSWhc+fO+PPPP5UJCv/eJ9+tWzds375dUm5paYmNGzdixowZMDPTX/ojhMDYsWOxe/duSXnr1q3RvHlzvbVLlJ48MY3/g7CwMFSrVg2RkZGS8qlTp2Ly5MmyR+fp2v79+9GlSxckJiZKygcMGIDVq1frvf3/EkJg3rx5WhdVGT58OH777TeDxkNEREREpkMIgS+//BLLli2T7ZszZw7GjBlj8LHtwIEDZScbbGxssGPHDnz66ad6b3/atGmYNm2apNzZ2Rk3b96Eq6urXtsn0ibPXNkH/r1Pf8OGDbKFOKZOnYphw4bp/Qp7mzZtcODAAdjZ2UnK//jjD61T/fUlJiYGvXr10proDxw4EIsXL2aiT0RERETpUqlUWLJkiWyFfgAYN24cevfujZiYGIPFM378eFmib2dnh3/++UfviX5KSgqGDh0qS/TNzc2xfv16JvqkmDx1Zf+DdevWoX///rLyTz75BOvXr0exYsX02v7Zs2fRvHlzJCQkSMoXL16Mr7/+Wq9t37hxA926dcP9+/dl+77//nv8/PPPTPSJiIiIKEuEEPjhhx8wZ84c2b6KFSti27ZtqF69ul5jWLJkCb755htJmY2NDY4cOYKGDRvqte0XL16gb9++OHHihGzfunXr0LdvX722T5SRPHVl/4N+/fphyZIlsqT2xIkTqFGjhtbV83WpYcOG2Lp1q2yGwbfffoszZ87opc3ExETMmjULPj4+WhP9uXPnYvbs2Uz0iYiIiCjLVCoV/ve//2lN9u/d+3/t3Xd0VWXa/vErPQFCC4EkwIsC0gKhJTRpBpBEOqKgFJGuoIyoMwz2AqjvWEYQBQR5KcKgElroJRSlJIRexQEFkiChhpJCcn5/uMjPfU6QlHOyc8L3s9asNc+9d/ZzsxTXvrL3fp4TatasmSZNmuSwRam3bt2qv/3tb4aam5ubFi9e7PCgv2zZMjVs2NAm6N9564GgD7Pdl0/27/j+++81YMAAm2/opT+25fjss8/0wAMPOGz+2bNna+jQoYZapUqVFB8fr6CgILvNs2nTJj3//PM6fvy4zbGyZctqzpw56tGjh93mAwAAwP1n2bJlGjx4sK5cuWJzrE6dOpo2bZoeeeQRu8137tw5NW3aVOfPnzfUZ8+erWeffdZu81g7deqU/va3v+W4+4CXl5cWLFigxx9/3GHzA7l1Xz7Zv6NPnz7atGmTqlSpYnNs2bJlqlu3riZMmKDk5GSHzD9kyBC9/vrrhtr58+fVp08fu/z288CBA+rTp486dOiQY9APCwvT3r17CfoAAAAosB49eig+Pl5hYWE2x44dO6bw8HD16dNHBw4cKPBc6enpeuKJJ2yC/uuvv+6woJ+cnKwJEyaoXr16OQb9qlWravPmzQR9FBn3ddiXpFatWmn//v3q3bu3zbHU1FRNnjxZDzzwgMaPH2+zX6Y9vP322+rcubOhtmPHDpvtTPJi79696tWrlxo2bKgffvjB5rirq6vGjRun7du3O/TNBQAAANxfHnzwQW3btk0vvfRSjtvc/fDDD2rYsKF69+6tvXv35nue9957Tzt27DDUIiIiHLKffVJSkv7xj3/ogQce0OTJk23W3ZKkxx9/XPv371fLli3tPj+QX/f1a/x/ZrFYNHfuXL366qu6cOFCjue4u7urZ8+eGjlypMLDw+22T+elS5fUtGlTnT59Orvm5uamXbt2qWnTprm6xo0bN/Tdd99p1qxZ2r59+13PCwsL05dffpnr6wIAAAD5sWfPHo0aNUpxcXF3Pad169YaNmyY+vTpY7Nj1d3ExcWpRYsWyszMzK49+OCDiouLU/ny5QvctyRlZWVp48aNmjFjhpYuXXrXXbv8/f31v//7vxo0aBBrX6HIIexbuXLlit544w1NmzZNWVlZdz2vWrVq6tWrl3r37q1WrVrZLLaXV3v27FGLFi0M/yEJDg7Wnj175OXllePP3Lp1S5s3b9bSpUu1aNGiv9zepGzZspo0aZJGjBhR4F4BAACA3MjMzNT06dP12muv5fgt/x2+vr7q16+fevXqpfbt28vHxyfH89LS0tS0aVMdPnw4u+bu7q6dO3cW+GFWZmamfvzxR0VFRSkqKkq//vrrXc91dXXV6NGj9e6776ps2bIFmhdwFML+XRw7dkyTJk3SggUL/jL0S1LFihUVHh6uNm3aqG3btqpXr16+nvq//fbbNvtzvv7663rvvfckSRkZGTp48KB27typ1atXa+PGjbp169ZfXrNcuXIaN26cXnjhBZUpUybPPQEAAAAFdeXKFU2ZMkWffvqpLl++/Jfn+vj4qEOHDoqMjFSLFi3UoEEDeXh4SPrj3njixImG899++2299dZbee4pKytLR44c0datW7V161Zt2rTprm/43uHq6qr+/ftrwoQJqlOnTp7nBAoTYf8efv75Z3344Yf69ttv7xms7yhTpozq16+v4OBgBQcHq1atWgoKClJAQID8/Pzu+mQ9PT1dzZo10/79+w31Ll266OLFi9q7d2+OOwfkxN/fXy+99JJGjx6t0qVL5+pnAAAAAEe6du2avvjiC3366af3DNZ3eHt7q1GjRipfvrxWrVplONaoUSPt3r07+5cB1jIzM3Xx4kUlJSUpISFBJ06c0OHDh3X48GEdOnRIV69ezVUPPj4+evrppzV+/HjVrFkzVz8DmI2wn0tXrlzR/PnzNX36dB06dCjf13Fzc1O5cuXk6emZ/T8XFxddv35dKSkpunbtWr6v7eLiooiICA0dOlTdunWTp6dnvq8FAAAAOEp6erpWrFihr7/+WmvXrlVBIknp0qXl6+urUqVKyWKxKD09Pft/ly9fNnzbn1f169fXyJEjNWDAAF7Xh9Mh7OeRxWLRwYMHtWTJEkVFRdll65CCcHV1VcuWLdW1a1f1799fVatWNbUfAAAAIC9+++03ffvtt1q5cqV27Nhxz09oHS0kJCR7ba4GDRqw8B6cFmG/gH755Rdt2rRJ27Zt09atW/9yIQ97qVGjhlq0aKHHHntMnTt3lp+fn8PnBAAAABzt4sWLWrNmjVavXq2dO3fql19+cfic1apVU9u2bdWmTRuFh4erRo0aDp8TKAyEfTs7c+aM9u/fryNHjmR/D3TmzBlduHChQK8nSdL48eP16quv2m1LEQAAAKAou3Tpkj766CN9+OGHBbqOi4uL/P39VbVq1ex1terVq6eGDRvyZiyKLXezGyhuqlatqqpVq6pr166G+u3bt3XhwgUlJibqypUrysjIyP6WKCsrS6VKlZKvr2/2N0f+/v4KCQnRqVOnsq8RHx9P0AcAAMB9o3z58oqPjzfUqlevrv379+vChQvZa16lpKTo+vXrcnV1zV4Xy8PDQ2XLllVgYKD8/f3l7k70wf2FJ/tF2Jdffqnnn3/eUNuzZ4+aNGliUkcAAABA4dmzZ49CQ0MNtS+//FKjRo0yqSPAeeR9M3gUmsGDB6tixYqG2ieffGJSNwAAAEDhsr73rVSpkgYPHmxOM4CTIewXYT4+Pvrb3/5mqP3www+53g8UAAAAcFZXrlzRkiVLDLWxY8fK29vbpI4A50LYL+KGDx8uDw+P7HFqaqoWL15sYkcAAACA4y1evFipqanZYw8PD40YMcLEjgDnQtgv4ipUqGCz2N+cOXPMaQYAAAAoJNb3vN26dWPLaSAPCPtOwPq7pJ9++qlQ9hwFAAAAzHDy5Ent2LHDUONbfSBvCPtOIDIyUv7+/obaqlWrTOoGAAAAcCzre11/f39FRESY1A3gnAj7TsDDw0OPPfaYobZ27VqTugEAAAAcy/pet0uXLoZ1rADcG2HfSVj/JnPz5s2GBUsAAACA4iA1NVWbN2821HiqD+QdYd9JdOrUSS4uLtnjmzdvavv27SZ2BAAAANjf9u3bdevWreyxq6urOnbsaGJHgHMi7DsJPz8/hYaGGmq7d+82qRsAAADAMXbt2mUYh4aGsgo/kA+EfSfSrFkzw3jfvn3mNAIAAAA4iPU9rvU9MIDcIew7kUaNGhnGhH0AAAAUN9b3uNb3wAByh7DvRKz/Q3fy5EmlpKSY0wwAAABgZykpKTp58qShRtgH8oew70Tq169vWKTPYrHol19+MbEjAAAAwH6s721dXFwUHBxsUjeAcyPsOxFvb2/5+/sbaufPnzepGwAAAMC+kpKSDOOKFSvK29vbpG4A50bYdzIBAQGGcWJiokmdAAAAAPZlfW9rfe8LIPcI+04mMDDQMLb+7ScAAADgrKzvba3vfQHkHmHfyVi/xn/x4kWTOgEAAADsy/re1vreF0DuEfadjLu7u2FssVhM6gQAAACwL+t7W+t7XwC5R9gHAAAAAKCYIewDAAAAAFDMEPadzO3btw1jFxcXkzoBAAAA7MvV1RhPMjIyTOoEcH6EfSdz/vx5w7hChQomdQIAAADYl5+fn2H8+++/m9QJ4PwI+07Geu/RoKAgkzoBAAAA7Mv63tb63hdA7hH2nUxCQoJhzN6jAAAAKC6s722t730B5B5h34lcu3ZNly5dMtR4sg8AAIDiwvre9uLFi0pJSTGpG8C5EfadSHx8vGHs7u6u6tWrm9QNAAAAYF81atSQu7u7oWZ9Dwwgdwj7TiQuLs4wDgkJkbe3t0ndAAAAAPbl7e2tBg0aGGrW98AAcoew70RiY2MN49DQUJM6AQAAABzD+h7X+h4YQO4Q9p1EVlaWtm7daqiFhYWZ1A0AAADgGNb3uFu2bFFWVpZJ3QDOi7DvJHbt2qWkpCRDrW3btiZ1AwAAADiG9T1uUlKSdu/ebVI3gPMi7DuJqKgow7hu3bqqVauWSd0AAAAAjlG7dm3VqVPHULO+FwZwb+73PsUxMjMzFRMTo+3bt+vAgQM6c+aMUlNTlZ6ernLlyikwMFBVq1ZVkyZNFBYWptq1a8vNzc2sdk1lsVhs/gPXq1cvk7oBAAAAHKtXr16aPHly9njJkiX64IMP5OLiYmJX5snMzNTx48cVGxur+Ph4nTlzRomJibp8+bI8PT3l7e2tqlWrKiQkRK1bt1b79u3v2+yE/8/FYrFYCnPC9PR0ffrpp5oyZYrOnTuX658rX768unTpoh49eqhz584qVaqUA7ssWjZu3KiOHTsaarGxsSzQBwAAgGIpNjZWzZo1M9Q2btyo8PBwkzoqfNevX9fatWu1bNkyRUdH69KlS7n+2SpVqmjMmDF66aWX5Onp6cAuUZQVatg/fvy4+vTpo0OHDhXoOiVLllT//v313HPPqVGjRvZprgjr3r27VqxYkT2uVauWjh07dt/+ZhMAAADFm8ViUZ06dXTixInsWvfu3bVs2TITuyoce/fu1VdffaUFCxboxo0bBbpWgwYN9N1336l27dp26g7OpNC+2T99+rTCw8MLHPQl6caNG5oxY4YaN26sVq1aafXq1SrkFxQKzcmTJ7Vy5UpD7cUXXyToAwAAoNhycXHRiy++aKitWLFCv/zyi0kdOZbFYtHq1avVqlUrNWnSRDNmzChw0JekgwcPKjw8XKdPny54k3A6hfJk32KxqE2bNvrxxx9tjjVq1Ejt27dXnTp1VLp0abm5uSk5OVmJiYk6dOiQ4uLidPbs2XvO0aJFC7377rvq1KmTI/4Iphk+fLi+/vrr7HGZMmV09uzZ++ozBgAAANx/rl+/ripVqujq1avZtWHDhmnmzJkmdmV/69ev15tvvqmdO3fe89wqVaooLCxMwcHBCgwMVIUKFZSZmalr167p2LFjiomJ0b59+2x+7uGHH9a2bdt4YHifKZSwv3btWkVERBhqDRo00MyZM9W8efN7/vyvv/6qFStWaNmyZdq8ebMyMzPvem63bt3073//Ww8++GCB+zbbvn371KRJE8NbCy+//LL+9a9/mdgVAAAAUDhefvllffLJJ9ljV1dXxcfHq2HDhiZ2ZR+nTp3Siy++aPMW75+5ubnpkUceUY8ePdStWzdVq1btntfdtWuXhg8froMHDxrqa9asUefOnQvcN5xHoYT9Z599VnPmzMkeP/DAA4qPj1e5cuXyfK1z585p5syZmjlzphISEnI8x9vbW6+99pr+/ve/O+2CFBaLRR06dNDmzZuzayVLltSJEycUFBRkYmcAAABA4UhISFCtWrUMr7SHh4drw4YNTvuUOj09XR999JEmTpyo1NTUHM8JCgrSiBEjNGzYMFWuXDnPc1y6dElNmzY1vL4/ePBgffPNN/ltG06oUL7Z37t3r2H8wgsv5CvoS1LlypX19ttv6/Tp05o9e3aOT/BTU1P1xhtvqGXLljp27Fi+5jHbDz/8YAj6kjR+/HiCPgAAAO4bQUFB+sc//mGobdq0SUuWLDGpo4I5duyYWrRooTfeeCPHoP/ggw9q9uzZOn36tN566618BX3pj53MxowZY6jl9Ho/irdCCfvW20TUrFmzwNf08PDQs88+q+PHj2vGjBmqWLGizTnx8fFq0qSJpk+f7lQL+CUkJGjUqFGGWtWqVfXyyy+b1BEAAABgjpdffllVqlQx1EaOHHnXt3yLIovFoq+++kpNmjSxeRAqSZUqVdLMmTN1/PhxPfvss/Lw8CjwnA899JBhnJet+1A8FErYt36Kf/78ebtd28PDQ8OHD9fx48c1ZswYuboa/0i3bt3SqFGj1K9fP928edNu8zpKVlaWBg0apIsXLxrqH374oXx8fEzqCgAAADBHiRIl9NFHHxlqFy9e1DPPPKOsrCyTusq9mzdvql+/fnruued069YtwzFXV1eNGTNGx44d07Bhw+wS8u9ISkoyjMuWLWu3a8M5FErYt/6t0rp16+w+R9myZTVlyhTt3r1bdevWtTm+ePFitW3bNlcr+5vpo48+0saNGw21xx9/XP369TOpIwAAAMBc/fr1U+/evQ21DRs22PwSoKg5e/as2rRpo8WLF9scq1u3rnbv3q0pU6Y4JIhbZy7rTIbir1DCvvVK/MuWLdOvv/7qkLmaNm2quLg4jR492ubYnj17FBYWptjYWIfMXVCLFy/WhAkTDLUqVapoxowZTrsACQAAAFBQLi4umjlzps037BMmTNB3331nUld/bffu3QoLC1N8fLzNsTFjxmjPnj1q2rSpQ+b+9ddftWzZMkMtMjLSIXOh6CqUsN+9e3d5eXlljzMyMvTaa685bL4SJUpo6tSpWr58uUqXLm04lpSUpPDwcMXExDhs/vzYsmWLBg4caFhbwMXFRfPnz1f58uVN7AwAAAAwX/ny5TV//nzDQzCLxaIBAwZo69atJnZmKyYmRuHh4Tav0pcpU0bLly/XlClTHPqJ7muvvabbt29nj729vdW9e3eHzYeiqVDCfsWKFTVy5EhDbcGCBQ7/LVy3bt20a9cumwUBr1+/rsjISK1Zs8ah8+dWfHy8evbsqfT0dEN90qRJateunUldAQAAAEVL+/btNXHiREMtPT1dPXr0yPEJuhlWr16tyMhIw3aB0h+LlO/cuVPdunVz6PyLFy/WggULDLWRI0fK39/fofOi6HGxFNIy9YmJiapTp46uXbuWXStVqpS2bNmiJk2aOHTuS5cu6cknn7T5Ft7Dw0PfffedevTo4dD5/0pMTIy6d++ulJQUQ/25557TF198wev7AAAAwJ9YLBY9//zz+uqrrwx1X19fLV++XO3btzenMf3xufITTzyhjIwMQ71Dhw5avHixw9/Y3bNnj9q3b6/r169n10qXLq3jx48rICDAoXOj6CmUJ/uSFBgYqGnTphlq169fV0REhI4fP+7QucuXL6/o6GibRT0yMjLUt29fbdmyxaHz383SpUsVERFhE/R79uypKVOmEPQBAAAAKy4uLpo6darNA7uUlBRFRETYfKteWGJiYvTkk0/aBP3HH39cq1atcnjQP3bsmCIjIw1BX5K+/PJLgv59qtDCviQ9/fTTGjBggKF24cIFPfzww9qxY4dD5/by8tJ//vMfm/nT0tLUvXt37du3z6Hz/1lWVpYmT56sxx9/XGlpaYZj4eHh+vbbb+Xm5lZo/QAAAADOxM3NTd9++63Cw8MN9bS0NPXu3VuTJ08u1G359u3bpx49eth8ljtgwAAtWrRInp6eDp3/p59+UuvWrXXhwgVDfeDAgXr66acdOjeKrkJ7jf+OtLQ0PfbYY9q0aZOh7u3trZkzZ9qEcXvLysrS8OHDNXv2bEO9UqVK2rFjhx588EGHzn/hwgUNHDhQa9eutTnWu3dvLViwQN7e3g7tAQAAACgOUlNT1b9/fy1ZssTmWEREhObNm6cKFSo4tIdTp06pZcuWOn/+vKE+ZMgQzZw5U66ujn2+On/+fA0fPlypqamGenh4uFatWmVYKB33l0J9si/98YQ9KipKYWFhhnpqaqoGDhyoQYMG2bzWbk+urq6aPn26evbsaaifP39evXr10s2bNx0295o1a9S4ceMcg/7w4cO1ePFigj4AAACQS97e3lq8eLGGDRtmc2zNmjVq1KiRQxflvnnzpnr27GkT9Hv16qUZM2Y4NOinpKRo0KBBGjhwoE3QDwsLU1RUFEH/PlfoYV/6Y5GITZs2KSIiwubYvHnzVL9+fS1ZskSOeunA3d1dCxcuVNu2bQ31/fv3a+TIkXaf9+zZs+rTp48iIyN17tw5wzFXV1dNnDhR06dP59V9AAAAII/c3Nw0Y8YMvf/++zbh+ty5c4qMjNQTTzxhcx9eUBaLRSNGjNCBAwcM9Xbt2jn0s1yLxaIlS5aofv36mjdvns3xyMhIbdq0yWYLctx/Cv01/j/LyMjQiy++aLOS5h2PPvqoPv74Y9WvX98h81+9elWtWrXSkSNHDPUpU6ZozJgxBb7+jRs3NHXqVL3//vs2C2VIUkBAgBYuXGjqiqEAAABAcbF582Y9/fTTNvvbS3/sBPb6669rzJgxKlmyZIHnmjJlil588UVDrV69evrpp59UpkyZAl8/JwcPHtQrr7yidevW5Xh81KhRmjJlitzd3R0yP5yLqWH/jv/85z8aMWKEYVu+P3v88cf15ptvKiQkxO5zHz9+XGFhYYZPB9zd3bV79241btw4X9dMSUnRtGnT9K9//UvJyck5ntOxY0fNnz9flSpVytccAAAAAGydP39eAwYM0IYNG3I8XqFCBb3yyisaPXq0SpUqla854uPj1bx5c92+fTu7Vrp0acXGxqpWrVr5uuZf2b9/v959990c1ya4M/eMGTPUt29fu88N51Ukwr70x8IWQ4YMUUxMzF3P6dixo0aOHKkePXrIw8PDbnMvXbpUvXr1MtQaNGiguLi4PK2c+fPPP2v27NmaMWOGLl26lOM5fn5++uijjzR48GCHL9YBAAAA3I+ysrI0Z84c/f3vf9fFixdzPMfPz0/Dhw/XkCFD9NBDD+X62mlpaQoLC9PBgwcN9aVLl9psB1gQGRkZWrZsmaZPn37XX1xIUvv27fXNN9/ogQcesNvcKB6KTNiX/vj+5D//+Y9efvllJSQk3PW8SpUqacCAAerdu7datGhhl9D8z3/+Ux988IGh9vrrr+u99977y5+7cuWKli9frlmzZmnr1q1/ee6wYcP0wQcfyM/Pr8D9AgAAAPhrycnJGj9+vGbNmvWX57Vt21ZDhw5V9+7dVbZs2b889/XXX9fEiRMNtfHjx2vy5MkFbVdZWVnauXOnlixZovnz59ss/PdnQUFB+vjjj9W3b1+5uLgUeG4UP0Uq7N+RkpKiTz75RJ999pmuXLnyl+cGBgaqe/fu6tChg9q0aaOAgIB8zZmenq5mzZpp//792TU3Nzft3LlToaGh2TWLxaKjR48qOjpa0dHR2r59uzIzM//y2l26dNFbb71lswMBAAAAAMeLjY3VO++8o+jo6L88z83NTa1bt1aXLl3UpUsX1a1b1xCk4+Li1KJFC8P9f6NGjbRr1648vRH8Z4mJidq2bZs2bdqkZcuW5bjewJ+VLVtWf/vb3zRu3Dj5+vrma07cH4pk2L/j6tWrmjJlij799NO7vhZv7aGHHlLLli1Vv359BQcHKzg4WP/zP/+Tq9927d+/X6GhoYZvb0qWLKn/+7//0549exQbG6u4uLh7/gLijh49euiNN95Q06ZNc3U+AAAAAMfZs2eP3n33XS1fvjxX55ctW1ahoaEKCwtT06ZNNWjQIMNW3R4eHoqNjVXDhg3veS2LxaLffvtNhw8f1uHDh3Xo0CHt2LFDP//8c656KV++vF566SW98MILDlsAEMVLkQ77d9y6dUvff/+9pk+frh9//DHPP+/h4aGAgAAFBgYqICBA5cqVk6enpzw8POTp6SmLxaKUlBSlpKTou+++K1Cvfn5+GjRokIYOHarg4OACXQsAAACA/R0+fFizZs3S3Llz7/pNf2498cQT8vX1la+vr1xcXJSenq6MjAylp6fr8uXLSkpKUmJiopKSkpSRkZHn67du3VojR45Unz595O3tXaBecX9xirD/Z4cPH9aiRYsUFRWlw4cPm92OJMnLy0sdOnTQ4MGD1b17d3l5eZndEgAAAIB7SEtL0/LlyzVnzhxt3LhRaWlpZrckSQoODlbv3r3Vt29fHiAi35wu7P/ZiRMntHTpUsXExGj79u2G7fMcrUqVKnrsscfUtWtXhYeH22WvTgAAAADmuHHjhjZu3Kjo6GitWrVKZ8+eLbS5fX191bp1a7Vv3149e/Z0yPZ9uP84ddj/s8zMTO3fv1/bt2/XwYMHdeTIER0+fFhXr1612xyjR49WeHi4wsLCVKVKFVa9BAAAAIohi8Wis2fPavfu3dq0aZOmTZtmt2uXKVNGwcHBqlevnho0aKDWrVurYcOGcnNzs9scgCS5m92Avbi5ualJkyZq0qRJds1isSgxMVHnzp3L/k4mMTFR169fV3p6evb3NBaLJfs7G19fX5UpU0aXL1/WP//5T8Mc1atXV+/evQv7jwYAAACgELm4uKhq1aqqWrWqTp8+bXN88uTJKleunK5evZq99ldKSopcXFyy1wXz9PRUqVKlstcNCwwMVOXKlRUYGMhDQxSKYvNk3xF69uypZcuWZY+DgoL03//+l2/yAQAAgPtAWlqaqlevroSEhOxaz549FRUVZWJXQO64mt1AUTZ+/HjDOCEhQQsWLDCpGwAAAACFacGCBYagL0n/+Mc/TOoGyBvC/l9o0aKF2rVrZ6h9/fXXJnUDAAAAoDDNnDnTMG7fvr1atGhhUjdA3hD272HcuHGG8Y4dO3T8+HGTugEAAABQGI4fP66dO3caai+99JJJ3QB5R9i/h8jISPn7+xtqc+fONakbAAAAAIXh//7v/wzjihUrKjIy0qRugLwj7N+Dh4eHBgwYYKjNnTtXWVlZJnUEAAAAwJGysrJsHvANGDBAHh4eJnUE5B1hPxcGDx5sGJ89e1bx8fHmNAMAAADAofbs2aNz584Zas8884xJ3QD5Q9jPhZCQENWuXdtQW7NmjUndAAAAAHAk63v92rVrKyQkxKRugPwh7OdS586dDWPCPgAAAFA8Wd/rR0REmNQJkH+E/Vyy/gu+c+dOXblyxZxmAAAAADjE5cuXbVbhJ+zDGRH2c6ldu3by8vLKHmdmZmrHjh0mdgQAAADA3nbu3GlYjNvLy0tt27Y1sSMgfwj7uVSiRAk1adLEUNu/f79J3QAAAABwhH379hnGTZs2VYkSJcxpBigAwn4eNGrUyDC2/g8BAAAAAOdmfY9vnQEAZ0HYzwPCPgAAAFC8EfZRXBD288D6L/qJEyeUkZFhTjMAAAAA7Co9PV0///yzodawYUOTugEKhrCfB9WrVzeMLRaLfv/9d5O6AQAAAGBPv//+uywWi6FWo0YNk7oBCoawnwfly5eXh4eHoZaYmGhSNwAAAADsyfre3sPDQ+XLlzepG6BgCPt54OrqqkqVKhlqSUlJJnUDAAAAwJ6s7+0DAgLk4uJiUjdAwRD288g67J8/f96kTgAAAADYk/Unutb3/oAzIeznkY+Pj2F8+/ZtkzoBAAAAYE/Wi29b3/sDzoSwn0fWC3YAAAAAKJ6494czI+wDAAAAAFDMEPbziN/uAQAAAPeHrKwss1sA8o2wn0eXLl0yjH19fU3qBAAAAIA9lS5d2jC+fPmySZ0ABUfYz6OEhATDuHLlyiZ1AgAAAMCegoKCDGPre3/AmRD28+DGjRu6du2aoRYYGGhSNwAAAADsyfre/urVq7p586ZJ3QAFQ9jPg3PnztnUCPsAAABA8WD9ZF+Szp49a0InQMER9vNg//79hrGfnx/f7AMAAADFhK+vr/z8/Ay1AwcOmNQNUDCE/TyIi4szjENDQ03qBAAAAIAjNG3a1DC2zgCAsyDs50FsbKxhHBYWZlInAAAAABzB+h7fOgMAzoKwn0vp6ek82QcAAACKOet7/NjYWGVkZJjUDZB/hP1ciomJUUpKiqHWvHlzk7oBAAAA4AgtWrQwjFNSUhQTE2NOM0ABEPZzKSoqyjBu3ry5AgICTOoGAAAAgCMEBASoWbNmhpp1FgCcgbvZDTiDrKwsLVu2zFDr1auXSd0AAAAAcKRevXpp9+7d2eNly5Zp6tSpcnW9v5+VXr16VfHx8Tp9+rQSExOVnJwsNzc3eXt7KzAwUCEhIWrYsCE7lhURLhaLxZKbE4cNG6YePXqoY8eO8vHxcXRfRcratWsVERFhqB0/fly1atUyqSMAAAAAjnL8+HHVqVPHUFuzZo06d+5sUkfmuHXrltavX6/ly5dr27ZtOnHixD1/xtPTUz169NBzzz2nRx55pBC6xN3kOuy7uLhIkkqUKKGuXbtq1KhRat++fXa9OIuMjNSaNWuyxw0aNGC/TQAAAKAYCwkJ0cGDB7PHkZGRWrVqlYkdFQ6LxaKYmBh99dVXWrlypW7evJnva/Xr109ffPGFypcvb8cOkVt5Dvt/VqdOHY0ePVrDhg2Tt7e33ZsrCo4dO6a6desaatOnT9eIESNM6ggAAACAo02fPl2jRo0y1I4dO6batWub1JFjpaam6uuvv9bUqVN1/Phxu123fv362rJlC4HfBAUK+3cEBQVpwoQJGjZsmLy8vOzWXFEwfPhwff3119nj8uXL68yZMypRooSJXQEAAABwpJs3b6pKlSq6fPlydm348OGaMWOGiV3ZX1pamr7++mtNmjRJCQkJ9zzf09NTderUUeXKleXv7y9JunHjhk6cOKGjR4/q9u3bNj/ToUMHrV+//r54K7woyXXYb9eunbZv366srKy7nvM///M/+uSTT9S7d+9i8Q/y0KFDatiwoeHPPH78eE2ePNnErgAAAAAUhvHjx+vDDz/MHru6uurAgQMKDg42sSv7sFgsWrJkiV566SWdOXPmrue5urqqTZs26t69u9q2basGDRrc9QHvpUuXNG/ePL3zzjuGX5JI0urVq23WQYNj5TrsS1JycrIWLFigr776SseOHbvreREREZoyZYpq1qxplybNYLFY1LlzZ61fvz675uPjo59//lmVK1c2sTMAAAAAheHcuXOqWbOmUlNTs2uPPvqo1qxZ49QPN0+ePKkxY8Zo7dq1dz2nTp06GjVqlPr3768KFSrk6fqnT59Wq1atlJiYmF3r3r27zQ5ncKw87R1RoUIFjR07VkeOHNHGjRsVHh6e43lr1qxR/fr19dlnn/3lmwBFWXR0tCHoS9Krr75K0AcAAADuE5UrV9arr75qqK1bt85pF+rLysrSZ599pvr169816Hfo0EGbNm3SkSNHNHbs2DwHfUl64IEH9NZbbxlqf97KEIUjT0/2c7Jlyxa98cYb2rZtW47HO3furG+++UaBgYEFmaZQXbx4USEhIYZvVoKCgnTixAmVLFnSxM4AAAAAFKbr16+rVq1ahqfUlStX1v79++Xn52diZ3mTmJiowYMHa926dTkeb9Omjd577z21a9fOLvMdPHhQISEhhlpqamqxW+OtKMvTk/2ctGvXTlu2bNHChQtzDPRr165VSEiIzVPyospisWj48OE2i1NMmjSJoA8AAADcZ0qVKmWzZte5c+c0YsQIFfC5aaFZv369QkJCcgz6QUFBWrRokbZs2WK3oC/J8OmDJHl4eMjT09Nu18e9FTjsS3+s1N+vXz8dO3ZMY8eOtTmenJysyMhIff7550X+L8TXX3+tqKgoQ61jx44aOHCgSR0BAAAAMNPAgQPVsWNHQ23JkiWGXbuKIovFon//+9+KiIhQcnKyzfGxY8fq2LFj6tu3r93XIPjxxx8N46CgIKde58AZFfg1/pxs2LBBzzzzTI5bNwwfPlxTp04tkr/V2bJlix599FGlp6dn1ypUqKADBw441WcIAAAAAOwrISFBISEhunjxYnbN09NT69evV9u2bU3sLGfp6ekaPXp0jr+QCAoK0ty5c9WhQweHzG2xWNSkSRPt27cvuzZkyBDNmjXLIfMhZ3Z5sm+tY8eOOnDggHr06GFzbObMmerevbtu3rzpiKnz7dChQ+rRo4ch6EvSrFmzCPoAAADAfS4oKEizZ8821NLT09WjRw8dPnzYpK5ydvPmTXXr1i3HoN+jRw8dOHDAYUFfkn744QdD0L8zLwqXQ8K+JPn5+WnJkiU2qzBKf3zHHxkZqZSUFEdNnydnzpxRZGSkrl69aqiPHTtW3bt3N6krAAAAAEVJ9+7dbT5bvnLliiIiIv5yr/rCdO3aNUVEROT4ff7bb7+tJUuWOHRhwd9//12jR4821OrUqaMuXbo4bE7kzCGv8Vv77rvv9Mwzz+jWrVuGerNmzbRmzRqVK1fO0S3c1YkTJ9SpUyf99ttvhnrPnj31/fffy83NzaTOAAAAABQ1mZmZ6tOnj5YuXWqoV6tWTevWrVOtWrXMaUzS5cuXFRERYbPNnY+Pj+bOnas+ffo4dP709HR17drVZnH2hQsXql+/fg6dG7YKJexLf+yr2LlzZ125csVQb9mypTZs2KASJUoURhsGe/bsyXGxilatWmnDhg3y8fEp9J4AAAAAFG23bt1Shw4dtGPHDkPd399fq1evVtOmTQu9pxs3bqhjx47auXOnoV6uXDmtWbNGzZo1c+j8WVlZGjBggBYuXGiod+3aVcuXL2dxPhM47DV+a82aNVNMTIz8/f0N9R07duiJJ55QRkZGYbUiSVqxYoXat29vE/Tr1q2r5cuXE/QBAAAA5MjHx0crVqxQ3bp1DfULFy7okUce0YoVKwq1n4yMDD3xxBM2Qb9ixYqKiYlxeNBPS0tT//79bYJ+xYoVNWvWLIK+SQot7EtSw4YNtXXrVgUFBRnqq1at0rBhw5SVleXwHjIyMvTKK6+oe/fuun79uuFYWFiYtm7d6tBvWAAAAAA4Pz8/P23ZskWhoaGGekpKirp3765XX321UB5oZmVlaejQoVq9erWhHhQUpK1btyokJMSh8ycnJ6tz585atGiRoV6iRAktX75cFStWdOj8uLtCDfvSH4szrF+/3uY7/blz52rSpEkOnfvUqVNq27atPv74Y5tjHTp00MaNG1WhQgWH9gAAAACgePD399emTZsUHh5uc+xf//qX2rVrp1OnTjm0h4kTJ2revHmGWvny5bV+/XrVrl3boXNv3rxZDRs21JYtWwx1d3d3LVmyRM2bN3fo/PhrhR72JalevXqKjo62eVX+zTff1Jo1a+w+X3p6uiZPnqzg4GCbV1sk6amnnlJ0dLR8fX3tPjcAAACA4svX11erVq3KcQG6HTt2KDg4WB988IHNFt/2sHr1apvdz3x8fLRy5UrVq1fP7vPdkZKSopdfflkdOnRQQkKC4VipUqUUHR2tzp07O2x+5E6hLdCXk5UrV6pHjx6G1/fLlSunPXv26MEHH7TLHJs3b9bo0aN19OhRm2Oenp769NNP9dxzz/EdCQAAAIB8s1gsmjZtmsaNG5djsK9bt66++OILPfLII3aZ79SpU2ratKkuX76cXXN1ddXy5csdts2dxWLRokWL9Morr9iEfEkKDAzUqlWr1KhRI4fMj7zJ9ZN9R3xP37VrV02ePNlQu3z5svr06VPg33zFxMQoPDxc4eHhOQb96tWra8eOHXr++ecJ+gAAAAAKxMXFRaNHj9ZPP/2k6tWr2xw/evRodj6xfu09r9LT09WnTx9D0JekDz74wCFBPysrS1FRUWratKmefvrpHIP+o48+qvj4eIJ+EZLrsN+4cWPNmjVLN27csGsDr776qnr37m2oxcfH6/3338/ztW7fvq0VK1aoXbt2euSRR7R582abc+78JYyPj1eTJk3y3TcAAAAAWGvatKni4+M1evToHB8qbt68We3bt1e7du20YsUK3b59O89zvP/++4qPjzfUHn/8cb3yyiv57jsnN27c0KxZs9S4cWP17t1be/futTnH09NT//u//6vVq1crICDArvOjYHL9Gv+df1FLly6tAQMGaNCgQQoLC5Ora8E/+7927ZqaN2+uY8eOZdfc3Ny0a9euXO1RefLkSc2ePVtz5sxRYmLiXc9r2rSpvvrqK5sVMwEAAADA3mJjY/Xcc89pz549dz0nKChIzzzzjIYMGaKaNWve85pxcXFq0aKFMjMzs2t16tTR7t277bIGWVZWlmJjYzV37lzNnz9f165du+u5ERER+vzzz/XQQw8VeF7YX57D/p9VrlxZPXv2VM+ePdWqVSuVKFEi343Ex8erefPmht9sBQcHa8+ePfLy8jKce+dfwOjoaEVHR9v8ViunPl9//XUNHz5cbm5u+e4RAAAAAPIiMzNTM2bM0MSJE3Xu3Lm/PLdJkybq0qWLunbtqtDQUJsHq2lpaWrSpImOHDmSXXN3d9fu3bvVuHHjfPd48+ZN/fTTT1q6dKmioqJyfE3/z2rXrq3JkyerZ8+efBJdhBUo7P+Zh4eHQkND1bZtWzVv3lzBwcGqUaNGnsL122+/rXfeecdQe/fdd/XCCy8oLi5Ou3fvVmxsrH788UdduHDhnterWrWq/vnPf2rIkCE2vzAAAAAAgMKSmpqqb775RpMnT9aZM2fueb6/v78efvhhNWvWTGFhYQoNDdWUKVP05ptvGs57++23bVbk/yuZmZn65ZdfdPjwYe3cuVPbtm1TXFycMjIy7vmzdevW1RtvvKEnn3ySh6hOINdhv0uXLlq9erXysni/l5eX6tSpo+rVqyswMFABAQEKCAhQmTJl5OnpKU9PT3l4eCgzM1MpKSm6ePGinnvuuXz/Ye5o1qyZRowYoYEDB8rT07PA1wMAAAAAe0hPT9e8efM0Y8YM7d69u8DX+/LLL+Xn5ydfX1+5ubkpIyND6enpSk9P19WrV5WUlKSkpCQlJibqv//9r44dO6a0tLRcX9/FxUWRkZEaOXKkunTpQsh3Innaeu/XX3/VrFmztHjxYh0/ftyRfeVZ+fLlNXDgQA0dOlQNGjQwux0AAAAA+EsHDx7UrFmzNG/ePF26dMnsdgxq166tJ598UkOHDlW1atXMbgf5kKew/2dHjx7VkiVLtHz5cu3Zs8ewQERhqVOnjrp06aIuXbqodevW8vDwKPQeAAAAAKAgMjIytH379uw1yf68cHlhcXNzU9OmTdWjRw/16tVLdevWLfQeYF/5Dvt/lpKSoh07dmjr1q366aefdOjQoVx9U59Xd75XCQsLU+vWrVWjRg27zwEAAAAAZvrll1+0fft2xcbGKjY21i6v+1vz9/dX/fr19fDDD6tNmzZq2bKlXVbzR9Fhl7CfkwsXLujw4cM6evSoEhMTs78VSUpK0o0bN5Senp79PYmLi4tKly4tX19f+fr6qmzZslqyZInNNQ8cOMAr+gAAAADuGwcOHFDDhg1t6r1799aVK1eUkpKilJQUXbt2TRaLJXtdNE9PT5UsWTJ73bSAgAAFBgaqbt26Cg4Olr+/vwl/GhQmh4X9grp+/bqqVatm+HZlwIABmjdvnoldAQAAAEDhGTBggBYsWJA99vPz06+//qqSJUua2BWcgeu9TzFHqVKl9OKLLxpqCxcu1OnTp81pCAAAAAAK0alTp7Ro0SJD7cUXXyToI1eKbNiXpDFjxqhEiRLZ48zMTM2YMcPEjgAAAACgcMyYMcOwEHrJkiU1evRoEzuCMynSYd/Pz09Dhw411ObNm2fKyv8AAAAAUFgyMzNtPmEeOnSo/Pz8TOoIzqZIh31JGjZsmGF89uxZbdq0yaRuAAAAAMDxNm7cqHPnzhlq1g9Cgb9S5MN+SEiIGjdubKjNmTPHnGYAAAAAoBBYZ54mTZooJCTEnGbglIp82JekwYMHG8ZLly5VWlqaOc0AAAAAgAOlpaVp2bJlhpp1JgLuxSnCfr9+/eTi4pI9vnnzpn788UcTOwIAAAAAx9i+fbtu3ryZPXZxcVG/fv1M7AjOyCnCfsWKFRUaGmqorVmzxqRuAAAAAMBxrLNOWFiY/P39TeoGzsopwr4kRUREGMaEfQAAAADFkXXWsc5CQG44Tdjv3LmzYXzw4EFduHDBpG4AAAAAwP5+//13HTp0yFCzzkJAbjhN2G/evLl8fHwMtX379pnTDAAAAAA4gHXGKVGihJo1a2ZOM3BqThP23d3dbbaaIOwDAAAAKE6sM05ISIjc3d3NaQZOzWnCviQ1atTIMCbsAwAAAChOrDOOdQYCcsupw/7+/fvNaQQAAAAAHMA64xD2kV9OFfbr1KljGJ89e9akTgAAAADA/qwzjnUGAnLLqcJ+YGCgYXz16lXdunXLpG4AAAAAwH5u3rypa9euGWrWGQjILacK+wEBATa18+fPm9AJAAAAANhXTtkmpwwE5IZThf3SpUvL29vbUEtMTDSpGwAAAACwn6SkJMPYx8dHvr6+JnUDZ+dUYd/FxUVlypQx1G7cuGFSNwAAAABgP9bZpnTp0nJxcTGpGzg7pwr7OeFffgAAAADFEVkHBeH0YR8AAAAAABg5fdjnt10AAAAAigOyDezJqcK+xWLR9evXDTVPT0+TugEAAAAA+/Hy8jKMU1JSTOoExYFThf2UlBSbRSuCgoJM6gYAAAAA7CcwMNAwvnHjBoEf+eZUYT+nbfas/0IAAAAAgDPKKduw1Tjyy6nCfkJCgmFctmxZ+fj4mNQNAAAAANhPiRIlbLYaP3funEndwNk5Vdg/cuSIYVylShWTOgEAAAAA+6tataphfPToUZM6gbNzqrAfFxdnGDdu3NikTgAAAADA/ho1amQYW2cgILecOuyHhoaa1AkAAAAA2J91xiHsI7+cJuynpKTYvMYfFhZmUjcAAAAAYH/WGefw4cOsyI98cZqwv3btWmVlZWWP3d3d1bBhQxM7AgAAAAD7atSokdzd3bPHWVlZWrdunYkdwVk5TdiPiooyjNu3b68SJUqY1A0AAAAA2F+JEiXUrl07Q806CwG54X7vU8yXnp6u6OhoQ61Xr14mdQMAAAAAjtOrVy9t3Lgxe7xy5UplZGTIw8PDxK6KBovFouTkZCUlJen333+Xi4uLvLy8VKFCBdWsWVNubm5mt1hkuFgsFovZTdzLihUr1L17d0Pt7Nmzqly5skkdAQAAAIBjnDt3zmab8eXLl6tbt24mdWSetLQ0bd68WTExMYqNjdWePXt09erVHM/19vZW48aN1bdvX/Xv318VKlQo5G6LFqcI+506ddKGDRuyx82bN9fOnTtN7AgAAAAAHKdFixbatWtX9rhTp073zbf7t2/f1ooVK7Rw4UKtWbMmXwsU+vj46J133tFLL71kWAPhflLkw/6hQ4fUoEEDQ2327Nl69tlnTeoIAAAAABxr9uzZGjp0qKF26NAhBQcHm9SR4yUkJGjGjBmaOXOmEhIS7HLNTp06afny5fL29rbL9ZxJkV+g79///rdh7O/vr6eeesqkbgAAAADA8Z5++mmb19A/++wzc5pxsMTERI0dO1bVq1fXO++8k+ugX6FCBVWsWFG+vr53PWf9+vUaNGiQivgzboco0mH/2LFjmjNnjqE2atSo+/K3MgAAAADuH97e3ho1apShNmfOHB0/ftykjuzv2rVr+vvf/67q1avr888/V1paWo7nubi4qGXLlnrttdcUFRWl06dPKz09XRcuXND58+d17do1nT9/XitXrlS/fv3k4uJi+PnvvvtOa9euLYw/UpFSpF/j79q1q2EVfi8vL506dUqBgYEmdgUAAAAAjpeQkKDq1asbQnDXrl21YsUKE7sqOIvFokWLFunll19WYmLiXc9r0aKFnn32WXXv3l0BAQG5vv62bdvUtWtXXbt2Lbv2yCOPaNOmTQXq29kU2Sf769ats9lub9y4cQR9AAAAAPeFoKAgvfTSS4baypUrtX79epM6KrjffvtNnTp10tNPP51j0Pfw8NCwYcO0d+9e7dixQyNGjMhT0JekNm3a2Hzy8OOPPyojI6MgrTudIvlk//r162rcuLFOnjyZXatUqZJ+/vnnv/weAwAAAACKk2vXrqlWrVo6f/58dq1mzZrau3evSpUqZWJnefef//xHI0eOzHHrPHd3dw0ZMkQTJkxQtWrVCjzX5cuXVb58eUPt2LFjql27doGv7SyK5JP9F1980RD0JWnixIkEfQAAAAD3ldKlS+v999831E6ePKmxY8ea1FHe3bhxQ4MHD1a/fv1yDPoRERE6cuSIpk+fbpegL/3xCbg1Nzc3u1zbWRS5J/uLFy9W3759DbUWLVpo+/bt990/HAAAAADIzMxU69attXPnTkN98eLFeuKJJ0zqKnd+/fVX9ejRQ/v377c5VqVKFf373/9Wr169bBbVK6hdu3apRYsWhtrly5dVtmxZu85TlBWpJ/uHDh3SiBEjDDVfX18tWLCAoA8AAADgvuTm5qb58+fbvLY/fPhwHT582KSu7u3HH39Us2bNcgz6/fv316FDh9S7d2+7B31J+v777w3jOnXq3FdBXypCYf/s2bOKjIy0ea1j2rRpql69ukldAQAAAID5atSooWnTphlqV69eVUREhM6dO2dSV3e3ePFihYeH6/fffzfUS5curfnz52v+/PkqU6aMQ+ZOTk7Wl19+aah17drVIXMVZUUi7F+5ckWRkZE6e/asod6/f38NGDDApK4AAAAAoOgYMGCA+vfvb6jd7aGpmb755hs99dRTSk9PN9Rr166tuLg4mz+DvY0dO1Y3btzIHru6umr48OEOnbMoMj3sJycnq3Pnzjp06JCh3rJlS82cOdOkrgAAAACgaHFxcdHMmTPVsmVLQ/3gwYN69NFHdfHiRZM6+/+++OILDRkyRFlZWYZ6RESEdu7cqYceesih88+dO1fffvutoda/f3/VqlXLofMWRaYu0HfmzBk9+uijOnbsmKFeq1Yt/fTTT/Lz8zOpMwAAAAAompKTk/Xwww/rxIkThnrdunW1bt06ValSxZS+pk2bptGjR9vUn3/+eX3++ecOX4dt3bp16tq1qzIyMrJrZcuW1YEDB1S1alWHzl0UmfZk//Dhw3r44Ydtgn6lSpW0Zs0agj4AAAAA5KBChQpavXq1KlWqZKgfPXpUDz/8sI4cOVLoPS1evFhjxoyxqY8fP15Tp051eNDfsGGDevfubQj6kvTVV1/dl0FfMinsz507V82aNdOZM2cM9apVqyomJkYPPvigGW0BAAAAgFOoXr26YmJibJ7i//bbbwoLC9O8efMKrZeNGzdqwIABsn5p/L333tOkSZMcstr+n82bN0+RkZGG7/Ql6YUXXrDZ1v1+Uqiv8d+8eVMvvPCCZs+ebXOsTp06Wrdu3X37WxcAAAAAyKu7fRotSUOGDNGUKVNUokQJh81/+PBhtWzZUikpKYb622+/rbfeesth80rSrVu39Morr9jsUiBJ/fr104IFC+TqavoydaYptLC/bt06jR49WidPnrQ51qxZM0VHR6tChQqF0QoAAAAAFBvJycnq0qWLdu/ebXOsZs2a+uKLL/Too4/afd6rV68qLCxMP//8s6H+/PPPa+rUqQ59or9v3z4NHDjQZqF3SXryySc1b948eXp6Omx+Z+DwX3MkJCSob9++6ty5c45Bf+TIkdqyZQtBHwAAAADyoUKFCoqJidGIESNsjp08eVKdO3dW3759lZCQYLc5s7Ky9Mwzz9gE/T59+ujzzz93WNC/cuWKXnjhBTVt2jTHoP/yyy9r4cKF933Qlxz4ZD85OVkff/yxpk6dquvXr9scL1WqlGbMmKGnnnrKEdMDAAAAwH3n22+/1ciRI++awV544QWNGzeuwA9bJ0+erAkTJhhqoaGh2rZtm7y9vQt07ZzcuHFDX375pT766CNduHDB5riPj48+//xzDRs2zO5zOyu7h/2kpCR98sknmjZtms0CCXe0aNFCc+bMUe3ate05NQAAAADc944fP67Bgwdr586dOR4vWbKknn/+eY0bN04BAQF5vn58fLyaNWumzMzM7Jqfn5/27NmjatWq5bvvnFy8eFEzZ87Uxx9/rOTk5BzPadiwoRYuXKi6devadW5nZ5ewf/v2ba1du1azZs3SihUrdPv27RzPK1++vD788EMNGTLkvl4oAQAAAAAcKSsrS7NmzdI//vEPXb58Ocdz3N3d1a1bNw0dOlSdO3eWu7v7Pa+blpam0NBQwyv0rq6uWrt2rTp27GiX3i0Wi7Zv367p06fr+++/V1paWo7n+fj4aMKECXrllVcc8jaBs8t32E9PT9fWrVsVHR2txYsX/+X3H66urho8eLA++OAD+fv757tZAAAAAEDuXbhwQePHj9ecOXOUlZV11/OCgoL05JNPqmvXrmrTps1dv3l/7bXXNGnSJEPtzTff1DvvvFOgPjMzM7V9+3YtWbJEUVFRNtu0W+vZs6c+/fRTPfDAAwWatzjLddhPTU3Vvn37FBsbq5iYGK1fv95mewVrbm5uGjBggCZMmKBatWrZpWEAAAAAQN6cOHFCEydO1IIFCwyv3+fE19dXnTp1Uvv27dWsWTM1bNhQ3t7e2rt3r0JDQw2/NGjUqJF27dqV5wXx0tPTtW/fPm3dulVbt27V9u3b7/oGwp916dJFb775ppo1a5an+e5HuQ77Hh4ed30935qPj4/69++v8ePHq0aNGgVqEAAAAABgH7/88os++OADLViwQLdu3crVz7i7uyskJETx8fE2x6Kjo9W6dWuVKlVKrq6uslgsysjIUHp6uq5fv67ExEQlJSUpKSlJp0+f1pEjR3T48GH9/PPPuc6Xnp6eevzxxzVu3DiFhobm6c97P8t12M/N1glhYWEaOnSo+vXrpzJlyhS4OQAAAACA/V29elWLFi3S119/rbi4OLtc093dPdcBPjdq166t4cOH65lnnmGr9nwocNgPCwtTly5d1KtXL4WEhNi1OQAAAACAYx04cEBRUVGKjo5WbGysqb00atRIvXv3Vq9evRQcHJyrh87IWZ7CvouLi+rWrauwsDC1a9dOjz32mCpVquToHgEAAAAAhSApKUmrV6/Wli1bFBsbq6NHj8rOu7Ub1KtXT23atFHbtm3Vtm1bValSxWFz3W/yFPYvXryo8uXLO7onAAAAAEARcOnSJfn5+dnUS5UqpevXr9/z511dXVWxYkUFBAQoMDBQtWvXVnBwsIKDg1WvXj0+/3age2+k+CfR0dEaOHCgo3oBAAAAABQhK1eutKlt2bJFbdu2VUZGhq5fv66UlBRdu3ZNGRkZ8vLykqenpzw8POTj4yM/Pz+5ubmZ0Dny9GQ/ODhYBw4ckKurq6P7AgAAAACYKCsrSw0aNNCRI0eya61atdL27dv5lt4J5Cm1Hz58WBs2bHBULwAAAACAImL9+vWGoC9J48ePJ+g7iTw/op8zZ44D2gAAAAAAFCXW2S84OFhdunQxpxnkWZ7DflRUlK5eveqIXgAAAAAARcCVK1e0dOlSQ23UqFF80u1E8vxPKjU1VYsXL3ZELwAAAACAImDx4sVKTU3NHnt4eOipp54ysSPkVb5+LbNgwQJ79wEAAAAAKCKsM1/Xrl1z3IIPRVeeVuO/w93dXcnJyeyJCAAAAADFzNWrV+Xn56fMzMzsWlRUlHr27GleU8izXD/Z9/T0zP7/t2/f1qZNmxzSEAAAAADAPBs3bjQEfS8vL3Xq1MnEjpAfuQ77bdu2NYzXrl1r92YAAAAAAOayznpt27ZVyZIlTeoG+ZXrsB8REWEYE/YBAAAAoPhZt26dYWydBeEcch32rV/bOH36tC5evGj3hgAAAAAA5khOTtbp06cNNV7hd065Dvv16tWTt7e3obZ//367NwQAAAAAMId1xvPx8VG9evVM6gYFkeuw7+7urgYNGhhq+/bts3c/AAAAAACTWGe8Bg0ayM3NzZxmUCC5DvuS1KhRI8N479699uwFAAAAAGAi67BvnQHhPPIU9q2f7P/3v/+1azMAAAAAAPP88ssvhnH9+vVN6gQFlaewX7lyZcM4KSnJrs0AAAAAAMxjnfGqVKliUicoqDyF/YCAAMM4KSlJFovFrg0BAAAAAAqfxWKxCfvWGRDOo0Bh/+bNm7p+/bpdGwIAAAAAFL6UlBTdunXLUCPsO688hf0KFSrY1C5fvmy3ZgAAAAAA5sgp2/n5+ZnQCewhT2Hf1TVPpwMAAAAAnBjb7jmvPKV3vs8HAAAAgPsHGdB58ageAAAAAIBiJk9hPz093fYCvNoPAAAAAE4vp1f209LSTOgE9pCnpG69DYMk+fv7260ZAAAAAIA5csp258+fN6ET2EOewn5CQoJhXKFCBXl5edm1IQAAAABA4fPy8rJZfd86A8J5FCjsBwYG2rUZAAAAAIB5rDMeYd955Sns//e//zWMg4KC7NoMAAAAAMA81hnPOgPCeeQp7MfFxRnGwcHBdm0GAAAAAGAe64xnnQHhPHId9i0Wi80/6LCwMLs3BAAAAAAwh3XGi4uLk8ViMakbFESuw/7Zs2f1+++/G2qhoaF2bwgAAAAAYA7rjHf+/HmdPXvWpG5QELkO+xs2bDCMy5Ytqxo1ati9IQAAAACAOWrWrKmyZcsaahs3bjSnGRRIrsN+VFSUYRweHi4XFxe7NwQAAAAAMIeLi4seeeQRQ806C8I55Drsr1+/3jDu1auX3ZsBAAAAAJjLOuutW7dON27cMKkb5Feuw35qamr2/3d3d1eXLl0c0hAAAAAAwDxdu3aVm5tb9jg1NVXR0dEmdoT8yNPWe3e0b99e5cqVs3cvAAAAAACTlStXTu3btzfUpk2bZk4zyLd8hf1BgwbZuw8AAAAAQBFhnfm2bNmiffv2mdMM8sXFkstNE+8sxhcQEKDTp0/Ly8vLoY0BAAAAAMyRlpamatWq6fz589m1Z599VrNnzzaxK+RFnp/sP/fccwR9AAAAACjGvLy89Pzzz2ePmzdvrscee8zEjpBXuX6yDwAAAAAAnEO+vtkHAAAAAABFF2EfAAAAAIBihrAPAAAAAEAxQ9gHAAAAAKCYIewDAAAAAFDMEPYBAAAAAChmCPsAAAAAABQzhH0AAAAAAIoZwj4AAAAAAMXM/wMqEUzTqPvv8QAAAABJRU5ErkJggg==\n",
                                                "text/plain": [
                                                        "<Figure size 1000x1000 with 1 Axes>"
                                                ]
                                        },
                                        "metadata": {},
                                        "output_type": "display_data"
                                },
                                {
                                        "name": "stdout",
                                        "output_type": "stream",
                                        "text": [
                                                "mpl:\n"
                                        ]
                                },
                                {
                                        "data": {
                                                "image/png": 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\n",
                                                "text/plain": [
                                                        "<Figure size 640x480 with 1 Axes>"
                                                ]
                                        },
                                        "metadata": {},
                                        "output_type": "display_data"
                                },
                                {
                                        "name": "stdout",
                                        "output_type": "stream",
                                        "text": [
                                                "ascii:\n",
                                                "                                        \n",
                                                "                                        \n",
                                                "                                        \n",
                                                "                                        \n",
                                                "                                        \n",
                                                "                                        \n",
                                                "                                        \n",
                                                "                                        \n",
                                                "                                        \n",
                                                "*                                      *\n",
                                                " OO                                 OOO \n",
                                                "   OO                              O    \n",
                                                "     OO                         OOO     \n",
                                                "       OO                      O        \n",
                                                "         *OOOOOOOOOOOOOOOOOOO*O         \n",
                                                "       OO                      O        \n",
                                                "     OO                         OOO     \n",
                                                "   OO                              O    \n",
                                                " OO                                 OOO \n",
                                                "*                                      *\n",
                                                "                                        \n",
                                                "                                        \n",
                                                "                                        \n",
                                                "                                        \n",
                                                "                                        \n",
                                                "                                        \n",
                                                "                                        \n",
                                                "                                        \n",
                                                "                                        \n",
                                                "                                        \n",
                                                "\n"
                                        ]
                                },
                                {
                                        "data": {
                                                "image/png": 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\n",
                                                "text/plain": [
                                                        "<wand.image.Image: fac12bf 'PDF' (332x332)>"
                                                ]
                                        },
                                        "metadata": {},
                                        "output_type": "display_data"
                                },
                                {
                                        "name": "stdout",
                                        "output_type": "stream",
                                        "text": [
                                                "unicode:\n",
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                                                "*                                      *\n",
                                                " OO                                 OOO \n",
                                                "   OO                              O    \n",
                                                "     OO                         OOO     \n",
                                                "       OO                      O        \n",
                                                "         *OOOOOOOOOOOOOOOOOOO*O         \n",
                                                "       OO                      O        \n",
                                                "     OO                         OOO     \n",
                                                "   OO                              O    \n",
                                                " OO                                 OOO \n",
                                                "*                                      *\n",
                                                "                                        \n",
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                                                "\n"
                                        ]
                                },
                                {
                                        "data": {
                                                "image/png": 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usrSWpLTld93flYfz649zrn1Gi9ec4ypLa0lKiaJbGM6vP8659hktXnOOqyytJTm1/mb7oxWH+Ba7uIvvv36O+sfX5b9x/TNavOYcV1laS5Wxml/Ahy+0eDhz/XHOtc9o8ZpzXGVpLVXGMmoPKWX5Xhf4g+hCSqILKYkupCS6kJLoQkqiCyk51R6rn5JT7bH6ObW4hcup9lsqq5+znGqP1U/JqfZY/ZScao/VT8mp9lj9lJxqj9VPyan2WP2UjNpDSm6EhJREF1ISXUhJdCEl0YWURBdSWii65nFzqz9+m9UtNEj2geOa1XZryvHbauU9WuQfNY+buqYdv63WrWU+MJvHzW3a8dusapnomsfNrbR/9nMDFovukXnclK4/fpvFLRZd87iJXX/8NotbaHLIPG5upf2znxuw0M8oq49rVluq64/fVkuXeV1IyY2QkJLoQkqiCymJLqQkupCS6EJKogspTYquwWtO6YG1TXvXdbA1p/TA2ibcJGfwWhV6Qi1fU951DV5zSg+sbkp0DV5zSg+sbmJ0jwxe804PrG5idA1e8wc9sLpJQ38GrzmlB9Y27ZdDDrbmlB5YmVF7SMmNkJCS6EJKogspiS6kJLqQkuhCSiPRHU5emsWkVnmmW1ddaWSAa3DssYOQVW2VD9PWVVeu8OCBweSlWUxVW+WZbl11bQ0/MA8nL81iUqs8062rrjSM7nDy0iwmtcoz3brqSqPRPfo1eWkWk1rlmW5ddaXR6J5MXprFpFZ5pltXXWlkcmg4eWkWk1rlmW5ddaWRnw4Ojj12ELKqrfJh2rrqujKvCym5ERJSEl1ISXQhJdGFlEQXUhJdSOk9ut1T52hFmtOHH/cponvoDrGLu+5gfoN29GGdro+I7nic8WPvTlIa0oc1PkdExFu8xW+zHNCEPqxwfNd9ipeI2PdOi6EhfVjDPcyQkl8OQUqiCymJLqQkupDSf7ajmPQ2lfhvAAAAJXRFWHRkYXRlOmNyZWF0ZQAyMDIyLTEyLTExVDE1OjI3OjAwKzAwOjAwIEE4ygAAACV0RVh0ZGF0ZTptb2RpZnkAMjAyMi0xMi0xMVQxNToyNzowMCswMDowMFEcgHYAAAAodEVYdGRhdGU6dGltZXN0YW1wADIwMjItMTItMTFUMTU6Mjc6MDArMDA6MDAGCaGpAAAALXRFWHRpY2M6Y29weXJpZ2h0AENvcHlyaWdodCBBcnRpZmV4IFNvZnR3YXJlIDIwMTEIusW0AAAAMXRFWHRpY2M6ZGVzY3JpcHRpb24AQXJ0aWZleCBTb2Z0d2FyZSBzUkdCIElDQyBQcm9maWxlEwwBhgAAABN0RVh0cGRmOlZlcnNpb24AUERGLTEuNVM2WsEAAABKdEVYdHNpZ25hdHVyZQAzODY4ZTgzYWRmMTQyN2MzMjU4Y2Y1N2VkOTUzOTExZjFhNDc2NzQ1ZTlmZGQ4ZTE1MTU4YTRhNjdkODVmMmY3ajXO8AAAAABJRU5ErkJggg==\n",
                                                "text/plain": [
                                                        "<wand.image.Image: 3868e83 'PDF' (477x176)>"
                                                ]
                                        },
                                        "metadata": {},
                                        "output_type": "display_data"
                                }
                        ],
                        "source": [
                                "ar.render(subfigure=False)"
                        ]
                },
                {
                        "cell_type": "code",
                        "execution_count": null,
                        "id": "90eb7298",
                        "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": "3.9.16"
                }
        },
        "nbformat": 4,
        "nbformat_minor": 5
}