{ "cells": [ { "cell_type": "code", "execution_count": 3, "id": "ddeeaed1", "metadata": {}, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# netowrks\n", "import networkx as nx\n", "import igraph as ig\n", "\n", "# data processing\n", "import pandas as pd\n", "import numpy as np\n", "import scipy.sparse as ss\n", "\n", "#some functions to make our lifes easier\n", "import sys\n", "sys.path.append(\"./\")\n", "from common_functions import *\n", "\n", "# viz\n", "import pylab as plt\n", "import seaborn as sns\n", "import matplotlib as mpl\n", "%matplotlib inline\n", "\n", "#Change the default options of visualization (improving the defaults)\n", "custom_params = {\"axes.spines.right\": False, \"axes.spines.top\": False, \"axes.spines.left\": False, \"axes.spines.bottom\":\n", "False,\"lines.linewidth\": 2, \"grid.color\": \"lightgray\", \"legend.frameon\": False, \"xtick.labelcolor\": \"#484848\", \"ytick.labelcolor\":\n", "\"#484848\", \"xtick.color\": \"#484848\", \"ytick.color\": \"#484848\",\"text.color\": \"#484848\", \"axes.labelcolor\": \"#484848\",\n", "\"axes.titlecolor\":\"#484848\",\"figure.figsize\": [5,3],\n", "\"axes.titlelocation\":\"left\",\"xaxis.labellocation\":\"left\",\"yaxis.labellocation\":\"bottom\"}\n", "palette = [\"#3d348b\",\"#e6af2e\",\"#191716\",\"#e0e2db\"] #use your favourite colours\n", "sns.set_theme(context='paper', style='white', palette=palette, font='Verdana', font_scale=1.3, color_codes=True,\n", "rc=custom_params)\n", "\n", "from IPython.display import display, HTML\n", "display(HTML(\"\"))" ] }, { "cell_type": "code", "execution_count": 4, "id": "b5a40cd5", "metadata": {}, "outputs": [], "source": [ "def plot_network(G, a0 = None, values = None):\n", " \"\"\"\n", " Plot a network, using values to determine the color\n", " \"\"\"\n", " if values is None:\n", " values = nx.degree_centrality(G).values()\n", " \n", " norm = mpl.colors.Normalize(vmin=min(values), vmax=max(values), clip=True)\n", " mapper = mpl.cm.ScalarMappable(norm=norm, cmap=mpl.cm.coolwarm)\n", " mapper._A = []\n", " cb = plt.colorbar(mapper, ax = a0, location=\"bottom\", shrink=0.8, pad = 0.02, label = \"Value\")\n", " cb.outline.set_visible(False)\n", "\n", " # NEtwork\n", " if nx.is_bipartite(G):\n", " top = [_ for _ in G.nodes() if _[0] != \"S\"]\n", " pos = nx.bipartite_layout(G, top)\n", " node_color = [\"#e6af2e\" if node in top else \"#e0e2db\" for node in G]\n", " else:\n", " pos = nx.spring_layout(G, seed = 1)\n", " node_color = [mapper.to_rgba(i) for i in values]\n", "\n", " nx.draw(G, pos = pos, with_labels = True, node_size=500*np.array(list(values)), edge_color = \"darkgray\", \n", " node_color = node_color, ax = a0)\n", " \n", " \n", "def plot_network_adj(G, values = None):\n", " \"\"\"\n", " Plots the graph (with color/node size adjusted according to values) and the adjacency matrix\n", " \"\"\"\n", " f, (a0, a1, a2) = plt.subplots(1, 3, gridspec_kw={'width_ratios': [1, 1, 0.5]}, figsize=(12,4))\n", " \n", " plot_network(G, a0, values = values)\n", " \n", " # Adjacency\n", " df = nx.to_pandas_adjacency(G, nodelist=list(G.nodes()), dtype=int)\n", " plot_table(a1, df.values, df.index, df.columns)\n", "\n", " A = nx.to_scipy_sparse_array(G, nodelist=list(G.nodes()), weight=1)\n", " N = len(G.nodes())\n", " a2.spy(A)\n", " sns.despine(bottom=\"True\", left=True)\n", " plt.grid(True)\n", " #2add the right \n", " a2.set_xticks(range(N), G.nodes(), rotation=90)\n", " a2.set_yticks(range(N), G.nodes())\n", " plt.tight_layout()\n", "\n", "def plot_table(a1, cellText, rowLabels, colLabels):\n", " cellText = pd.DataFrame(cellText)\n", " the_table = a1.table(cellText=cellText.values, rowLabels=rowLabels, colLabels=colLabels, loc='center', colLoc = \"left\", cellColours=(cellText>0).replace({False: \"white\", True:\"#e6af2e\"}).values)\n", " a1.axis(False) \n", " the_table.scale(0.8, 1.6)\n", "\n", " \n", "def adj_to_net(A, d_names = {0: \"Alice\", 1: \"Bob\", 2: \"John\", 3:\"Amy\", 4:\"Mike\", 5:\"Rose\"}):\n", " G = nx.from_numpy_array(A, create_using=nx.DiGraph())\n", " G = nx.relabel_nodes(G, d_names)\n", " return G\n", "\n", "def normalize_by_row(A):\n", " S = 1/A.sum(axis=1)\n", " Q = ss.csr_array(ss.spdiags(S.T, 0, *A.shape))\n", " return (Q @ A)\n" ] }, { "cell_type": "markdown", "id": "c9ebce92", "metadata": {}, "source": [ "# Create example networks and visualize them\n", "- Note the create_using parameter" ] }, { "cell_type": "code", "execution_count": 3, "id": "7d193e37", "metadata": {}, "outputs": [ { "data": { "image/png": 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8goKCaN26NVkFZrYfq+6qWBs6LXQLgPD2zb/LohBCCPXKz8/H29ub06dPX3adhrift6CggMLCQqsUbffcc89V19FoNHz44YfXtB+oLjZmzZqFk5PTRXOBXus9U5ebB8tgMABgb29vlf00NCmmhE2Ul5eTlJSEg4MDffr0qXHTpLCdsrIyMjMzycrKorKyksDAQIKCgmjbtm2NK4aKopCSrpBTDKarFFRaDXi6wZBuGrnqKIQQwqZuvvlmfvzxxytOaGvND+/5+fnMnTuXY8eO1RhOOG3atAab18qa7rrrLu68805iYmIsxc1513qfVl5eXq3Ws9b9YAaDgS+//JJNmzZZCtthw4Zx5513XnRsdSHFlGh0eXl5pKSkEBISQteuXeUDto3p9XpOnjxJZmYmZ8+eJSAggKCgILy8vK44qaCiKOw4ppBdDFXGS6/jYFddSPUP1aBrIS3rhRBCiPOef/55wsLCGDt2LDqdDqPRyBdffMHhw4eZPXu2VfZx7tw5UlNTKSoqwsPDg759++Lq6mqVbd99990sXboUZ2dnq2zPlt59911yc3O566678PLyIj8/n88//xxfX1/LsL/6kGJKNBpFUTh48CDp6en07du3wTrPiKszGAxkZ2eTmZlJYWEhfn5+BAUF4ePjU+cJ7EorFA7lKJwq/nOZAni3hq7+Gtq6ShElhBCiZfrHP/7BihUrcHBwsCyrrKzkrrvuYuXKlde8/X379jF79mzCwsLw9PSkoKCAw4cPM3PmTCIiIq55+59++imtW7dmzJgx17ytS3nmmWeYM2cO06ZNu+yX66+++qpV9jV27FiWLl2Km5ubZVlpaSkTJ07kyy+/rPd2pQGFaBSVlZWkpqZiMBiIj49v8K4w4mImk4lTp06RmZlJXl4eXl5edOjQgQEDBlxTJ6BWzhp6d9agKAoGEyhK9RUpueIohBBCTa40tO9C1hzm165dO8vcmeft3bvXal8oL1myhCeffJLevXtblqWmprJ48WIWLVp0zdv/5ptvMBgMfPzxxzWWazQavvnmm2ve/ogRI4Dq4ZcNzcnJiTNnztQops6cOYOTk9M1bVeKKdHgioqKSEpKwt/fn+jo6CsOHRPWZTabyc/PJyMjg5ycHNq0aUNQUBC9evWy+n1qGo0GB/mNIoQQQqWu1mWvsrLSKleLLjRp0iReeuklwsPDLUPLDh8+zHPPPWeV7efm5tK9e/cay7p3786pU6essv333nvvomXWPE+5ubmsWLHiiuvExcVZZV+33XYbzz//PKNHj7ZcxVu9ejW33377NW1XPvqIBqMoCkePHmX//v306tXLahPUiStTFIWioiJLIwlnZ2eCgoKIjIyUK4JCCCFarEtdDcrOziYxMZHExETOnDlT4wqSNURFRbFs2TK2bdtGUVER3bp149///jfe3t5W2X7Xrl355ptvuPPOO9FqtZjNZlauXEm3bt2ssv3z56yhztOKFSvw8fGpcWXtQtYc5XLzzTcTEBBAQkICu3fvxsvLi3//+9/s3r37mrYr90yJBmE0Gtm+fTtnzpxhwIABtGrVytaRmr0LW5lrtVpLK3M590IIIcSfcnJySExMZPPmzej1egoKCnjhhRfo2bOn1fZhMBhYs2YNhYWFDBo0iDNnzjB37lyCg4PJzMxkxowZF11Rqo/z3QJPnDiBu7s7xcXFdOzY0SrdAhvjPB04cIAff/yRo0ePcuONN3L99dc3SLOLXbt2cerUKXr27Imfnx8AGRkZzJ07F4PBwPvvv1/vbUsxJazu7NmzbN26FQ8PD2JiYhp0Zu6W7nwr88zMTKqqqggMDCQ4OBh3d3e5Z0kIIYT4i0ceeYSCggIGDRrE0KFD6dq1K3feeSfvvvsunp6eVtvPvHnzOHXqFN26dWP37t2Ul5fz5JNP0rVrV5KTk/niiy9YuHBhvbdfWlpa47Fer6eoqMhqkw831nk6r6SkhDVr1rBp0yZiYmK49dZbrTbf11dffcXq1asJCwvj4MGDzJgxgyNHjvDxxx9z4403Mn78+BoNQupKPuUKq8rKymLnzp1ERkbSqVMn+UDfAPR6PVlZWWRlZVlamffs2RNvb28530IIIcQVZGVl0b17d6KioggJCQEapmFScnIyy5Ytw93dnfz8fO655x66du0KQGxsLK+88so1bf/OO+9Eo6lu/vTX/J6enjz11FNERUXVe/uNdZ7Oc3d3p1evXpw4cYLffvuNiIgIqxVTa9asYc6cOQQEBHDgwAGmT59Ou3btmD17NpGRkde8fSmmhFWYTCb27NlDTk4OgwcPpm3btraO1KxcqpV5eHh4vVqZCyGEEC3Vl19+SWpqKgkJCSxevJhevXpRVVWFtQdqVVZW4u7uDoC3t3eNUTp2dnaYzVeZ8f4qtFotP/3000XLTSYTmzdv5p133mHJkiX13n5jnSdFUdi6dSvfffcdFRUV/O1vf2Pq1KnXdKXor4qLiy337YeHh6MoCu+8847VGnFJMSWuWXl5OUlJSTg6OjJy5Eir/g/Qkv21lbm3t7dVWpkLIYQQLZWjoyODBg1i0KBB6PV6UlJSKCsr45FHHqFbt2706tWLUaNGXfN+FEUhPT29xrLzj61RkFzuqpNOp2PQoEHMnz//mrbfWOdpwoQJKIrCTTfdRI8ePQDIzMyssc75K2P1ZTKZarwXWq2WrKwsq+1D7pkS1yQ3N5fU1FS6dOlCeHi4DDO7RmazmdOnT5OZmUlOTg7u7u4EBgYSEBBg9VbmQgghhKhWUVFBUlISW7ZsYebMmde8vfHjx1/1M9FHH310zfu5lPz8fN58801efvllq2+7Ic/T+WGLF9JoNHz44YdW28elXOs+pJgS9aIoCgcOHODo0aP069fPauNaW6LzrcwzMjI4efKkpZV5YGCgtDIXQgghhFAxKaZEnVVWVpKSkoLRaKR///4N0sKyJZBW5kIIIYQQTZvW1gFE01JYWMi6deto06YNQ4cOlUKqjsrKyjh48CBr164lMTERs9nMgAEDuOGGG4iIiJBCSgghhLCRzz77rElvv7nso6kdgxRTolYUReHIkSNs2bKFnj170r17d7Ra+etTG3q9niNHjrBhwwbWr19PeXk5MTEx3HTTTXTv3p22bdvKvWZCCCGEja1YsaJJb7+57KOpHYO0BBNXZTAY2LFjB2fPnmX48OFy9aQWLtXKvFu3bvj4+EgRKoQQQgjRTEgxJa7o7NmzbN26FQ8PD4YPHy4tua9AWpmLpuCGG26goKDA1jEuq7CwEE9PT1vHuCQ1ZwN155Ns9efl5cUvv/xi6xhCiMuQT3jisjIzM9m1axdRUVF06tTJ1nFU6VKtzIOCgoiNjZX5toQqFRQUsH37dlvHuKzg4GDV5lNzNlB3PslWf7GxsbaOIIS4AimmxEVMJhN//PEHubm5DB48mLZt29o6kqooikJhYSGZmZmcPHkSFxcXgoKCiIqKkoYcQgghRBN18803N+ntN5d9NLVjkGJK1FBWVkZSUhJOTk7Ex8fL1ZULnDlzhoyMDLKysiytzIcNGyb3kAkhhBDNwHXXXdekt99c9tHUjkGKKWGRm5tLamoqoaGhhIWFSYc5qovL83NBGQwGAgMDGTBgAO7u7nJ+hBBCCCFaOCmmBGazmQMHDnD8+HH69etHu3btbB3JpvR6PVlZWWRmZnLu3DkCAgKIiYnBy8tLCighhBBCCGEhPZpbuMrKSjZv3kx+fj7x8fEttpCqqqri+PHjJCQksGbNGoqKiujWrRs333wzvXr1wtvbWwop0azt3LmTUaNG8eOPP1qWjR8/nry8PAAmTpxosy6Ao0aNYuLEiUycOJF7772XL7744qqveeONN1i3bl2DZ3v22Wf517/+xdNPP33F9UaNGtXgWS7nUu+tGowaNYq5c+daHiuKwgMPPGA5l7///jvz5s0DYN26dbzxxhuNmu3837lHHnmEtLS0Rtu3EKJpkStTLVhhYSFJSUkEBQURGRnZ4uY/Ot/KPCMjg9OnT9OuXTs6derEwIEDpZW5aHESEhIYMmQImzZtuuSNuUuXLrVBqov3X1ZWxj333MPNN9+Mm5ubTTMBvPzyy+zZs4fPPvvM1lEu62rvrS1lZmaSn5+Pt7c327dvR6fTWZ4bOHAgAwcOtFm283/nduzYwYIFC1iyZInNsggh1Es+MbZAiqKQnp7OgQMHiI2Nxd/f39aRGs3lWpn37t1bmm2IFstgMJCSksKSJUt44IEHyMvLw8fHp8Y6o0ePZvXq1UD1h/Mvv/wSvV6Pt7c3zz//PHq9nnfeecdyJWvChAn07t3b6lkLCgrw8vKydM5MSUnho48+wmg0EhoaysMPP1zjudWrV1NSUsJNN93E7bffbvU8FzKZTLz//vvs3LkTjUbD7bffXuMm5/fff59du3ZhNBqZMWMGnTp1Yt26daxZswZHR0dyc3Pp3LkzzzzzjNW+3Lrcezt+/HhiYmI4dOgQRqORu+66i40bN3Ly5En8/f35z3/+Q0JCAlu2bGHmzJkAHD58mLfeeotFixZZJRvATTfdxA8//MB9993HDz/8wC233MKGDRsA+O2339i1axdTp06t8ZqTJ0/ywgsvMH36dDp37syKFStISkqisrKSXr16MWnSJKuOJIiKirL8vQZYu3Yt33zzDYqi0KtXLyZOnIhOp+OHH35g1apVmM1mPDw8mDlzJq1bt27wfEII25JiqoUxGAxs376d0tJSRowYoYpvdhvaha3Ms7KycHV1lVbmQlxgx44ddO7cGXd3d/r27UtiYiL/+Mc/LrluZmYmH330EfPnz6dt27bs378fgAULFjBhwgRCQkLIz8/n8ccf55NPPrFaUTBx4kRMJhMFBQXExcVhMBgoLS1l0aJFzJ8/H29vb5YtW8YXX3zBhAkTAPD09GTGjBlUVFTw0EMPMWjQoIuKRGtas2YNJSUlvPfee5SXl/PEE08QFhZGcHAwAP369eOBBx5g1apVrFy50jKczWQyMW3aNFq3bs3jjz/OH3/8Qc+ePa2S6UrvbWRkJI8++ig///wzH3/8Ma+++io+Pj5MnTqVnTt3EhcXx7JlyywF7OrVq61+ZWv48OE89NBDDBw4EHt7+6t+uZefn89LL73E1KlTCQkJYd26dej1ehYtWoSiKMyaNYukpCQGDBhglXyKovDjjz8SExMDwPHjx1m5ciULFizAxcWF1157jV9++YUhQ4bw0Ucf8fnnn+Pk5ER6ejo6nY7169c3aD6hXrdc/y5FReVXXc/Dw4Xv105uhESioUgx1YKcOXOGrVu34uXlxfDhw5v9ULaSkhJLAaXT6QgKCmL48OHSylyIv9i0aZNlOFVcXByffPLJZYup3bt307dvX8v8cxEREej1evbu3ctrr71mWc9kMlFSUoKHh4dVMp4fclVVVcWiRYtYsWIFERERhIaG4u3tDcDIkSNr3FcTEhKCTqfDzc2NiIgI0tPTG7SY2rVrFyNHjkSr1eLm5kbfvn35448/LMVUdHQ0AB07dmTr1q2W1wUFBeHu7g5UTyBrzXvTrvTeRkZGAhAQEIC3t7fl3Pj7+1NUVISDgwMjRoxg7dq13HLLLezcuZPJk637oc/BwYEhQ4Ywa9Yspk+ffsV1z549y7PPPsvkyZPp2rUrAKmpqRw+fJiUlBSg+j7g3Nxcq2SbOHEiZ86cwdfXlzlz5gCwZ88eevfubfkicsSIEfz666/ccMMNeHl5sWDBAnr06GFZpyHzNTV5eXlMmjSJ7777ztZRGkVtCqm6rCfUq3l/mhYWGRkZ7N69m+joaDp27GjrOA3m3LlzlgLqfCvzgQMH0qZNGxlWIcQl6PV6UlNT2b9/P1999RVQPZQuMzPzkusrinLRMpPJhIODQ6PcV+Xg4EBcXByrV68mIiKiVvkAjEYj9vb2DZLJbDZf8veLoiiXzKPVai+b05r3rtb2vf3rPi/Md+ONNzJ9+nRcXFwYPHgwjo6OVst33k033URmZibR0dHs27fvsusdPHiQsLAwNm/eTI8ePYDqczxx4kTi4uKsnmvp0qWcOnWKqVOncuzYMUsxfCk6nY5FixaxY8cO9u/fz6effsorr7zSoPnUTK/XM3bsWPz9/S87LHT06NEsX768Qb/gEKIxtKyOAy2QyWSy/HIfMmRIsyyk9Ho9R44cYcOGDWzYsIGKigpiYmIYPXo03bt3lzmhhLiC5ORkoqKi+PTTT/n444/5+OOPueGGG0hISLjk+tHR0SQlJVFUVARUD3tSFIXg4GDLN84mk4lt27Y1SF6DwcCWLVsIDw8nLCyMtLQ08vPzAfj1118tH7Kh+ioAwOnTpzl8+DDh4eFWzWIymYDqc9CuXTuio6PZsGEDZrOZ0tJSkpOTr/gBvKHV9b29FD8/PwIDA/n0008ZPXp0g+T08PDgueeeu+p6ffv25fnnnyczM9NSHMbExLBq1SrKysoAOHXq1GW/CKgPPz8/pk2bxquvvkpOTg7R0dGkpqZSWlqK2Wxm/fr19OjRg5KSEg4cOED//v25//77CQ4OJjc3t8HzqVVqairR0dEUFBSQnZ19yXVWr14thZRoFuTKVDNWVlZGUlISzs7OxMfHN6sGC1VVVWRnZ5OZmUlRURHt27enW7du+Pj4tLiuhEJci8TEREaMGFFj2fDhw1mwYMEl1+/YsSPjxo1j2rRpALRt25bnn3+eadOmsXjxYlavXk1VVRVhYWFWbUAxceJEFEXBYDDQv39/br/9duzt7ZkyZQozZ87EYDDQpUsX/v3vf1tes3btWn7++WeqqqqYMmUKrVu3tloegOeff568vDzc3d156qmn8PLyIjs7mwceeACtVsvtt99u0y+w6vreXs6gQYPQaDS0b9/emvHqxcHBgZkzZ/Lkk0/i7e3NDTfcQGFhIY899hhGoxFXV1cee+wxq+6ze/fujBs3jhdffJH58+dz2223MXXqVMxmMzExMYwaNYrS0lK+/PJL3nzzTRwcHIiKiiI2NhaNRtPg+dQoMTGR+Ph4fHx8SExMZOzYsRetc+utt7JkyRJ8fHwoKSnh3XffZdeuXTg7O3PDDTcwbtw4zpw5w7vvvsvOnTtxc3NjwoQJDBo0yAZHJMTlaZTLjTUQTdqpU6dITU0lPDyc0NDQZnFlxmg0Wr7VO9/KPCgoCD8/v2Z//5cQ1hIbG8v27dttHeOygoODycjIsHWMS1JzNmi4fC+++CKjRo2iT58+9d6Gms+dmrOB+v+f/Su9Xs+ECRP46KOPOHr0KG+//TbvvvvuRfdMXVhMPfPMM3Ts2JG77rqLwsJCtmzZwtixY3n++ecJCgri//7v/8jIyOD5559n8eLFeHp6XjVHdnY2FRUVdcpeWVlptaGsE8Z+X+t1l39xi1X2CdY9BlvtQ43HEBISctnn5BNoM2M2mzlw4ADHjx9nwIABlhuzm6rzrcwzMjLIycmhbdu20spcCCEayfm5+GJjY20dRTQRycnJ9OrVCwcHB7p27Yper+fkyZOXvWexoKCAQ4cO8eKLL2Jvb4+Liwtjx46lqKiIQ4cO8cILL6DT6QgLCyMiIoK9e/cydOjQq+aoz7Qv6enpV/zQ3FCsuc/GOIaG3kdTOwYpppoRvV5PSkoKZrOZ+Pj4Jtv2+3KtzKOjo5vsMQkhRFPk5+fH8uXLbR1DNCGJiYns2rWL1NRUAMrLy0lISCA+Pv6S6xcUFNC2bduLiq38/HzKysq49dZbLcsURbHpfYhCXIoUU81EQUEBSUlJBAcHExkZ2eTuG1IUhTNnzpCZmUlmZiZ2dnYEBQW1mLmwhBBCiKauvLycgwcP8t5771luL8jMzGTp0qWXLaY8PT0pLi7GYDDUKKg8PDxo1aqVpdmIEGolxVQTpygKR44c4eDBg/Tu3VsVNwjXxflW5pmZmRiNRoKCgoiLi5NW5kIIIUQTk5ycTNeuXWnXrp1lmZeXFyUlJej1+ku+xtvbm06dOvHRRx9x9913c/bsWZKTkxkzZgwdO3Zk6dKl/POf/0Sr1ZKWloanp6dl7jYh1ECKqSbMYDCwbds2ysrKmtQVnIqKCrKyssjMzKSsrIyAgABiY2Px9PSUAkoIIYRoojZv3nxRF0+NRkNMTAwrV6687OvOdwP9v//7P5ydnbnxxhsty5cuXcoDDzyAwWAgNDSUKVOmNOgxWIuHh0utJuT18HBphDSiIUkx1USdOXOGrVu34u3tTd++fdHpdLaOdEVVVVWcPHmSrKwsSyvziIgIaWUuhBBCNBP/+c9/Lrn86aefBmDq1KmWZee7+kH11amZM2de9Lq2bdtaXtvUfL928kXLbNXgQjQsKaaaoIyMDHbv3k337t3p0KGDreNc1qVamXfq1ImBAwdKK3PR4t1www0UFBQ0+n6zs7NVPUSmovQ0gT7q/Ka2SnFR9bnT6/WqzSfZ6k++cBRC3eQTbRNiMpnYtWsXp0+fZsiQIbi7u9s60kXMZjN5eXlkZmaSk5ODh4eHtDIX4hIKCgpsMneM2ufUCfRxIfW9LraOcUn9Hi1S9blT83sr2epP2tILoW5STDURZWVlbN26FVdXV0aOHHnZ+RrO/nGIE+98StHvOzCUnAVFQaPV4ujrjfd1cQRPvhvnAF+rZjvfyjwjI4OTJ0/i5uZGYGCgtDIXQgghhBDNmhRTTUBOTg7btm0jPDyc0NDQSzZpKEvPYOddj1ORkY2hsOSi5yvzCji77zCZH67EIy6W7u+/jH3bNvXOJK3MhRBCCCFESyfFlIqZzWb279/PiRMnGDhwIF5eXpdcL+ujlRyc/voli6gaTCYMBcWc/uk3ErqPJvabd3HvXbfJ76SVuRBCCCGEENWkmFIpvV5PcnIyACNHjsTJyemS62Uu/5qD0+ZiLDlb620rRhOVp/LZ9rcH6LP6A9rERFieM5vNpKam0rp1a7p16wZc3Mo8MDBQWpkLIYQQQogWT4opFcrPzyc5OZkOHToQERFx2U4+59KOcWjGvDoVUheqKihm+98nM2TfGuxcXVAUhdTUVE6ePIm9vT2Ojo5kZWVRXFxM+/btiYyMpF27dtJZSAghhBBCCEA+FauIoiikpaWxdetWYmNjiYqKumLhsnPc4xiKSq5pn5Wnizj41KsoikJKSgonT57EbDZTWVlJZmYmnTt35uabb6Zv3774+vpKISVEA9u5cyejRo3ixx9/tCwbP348eXl5AEycONEmLdWt4dixYzzyyCPcf//9zJo1i7KyMltHqqGwVMeUD63boMda1Hzu1JwN1J1PzdmEELUjn4xVwmAwkJSURGZmJvHx8fj5+V1x/ZJte9Bn53KT8TBnFNNl11tgyuVbc9Fln1eqqsj97leSNyaQmZmJ2Wy2PNeqVSsCAwNlTighGlFCQgJDhgxh06ZNl3x+6dKll71/Uu3mzJnD5MmTWbZsGeHh4Xz++ee2jmSxarsbs771oqJKnf8sqvncqTkbqDufmrMJIWpHnf9qtDAlJSWsW7cOR0dHhg8fjqur61Vfc/ytj6/ecKKWjGUVeBw+SUxMDFFRUQQFBdG2bVsURbHK9oUQtWMwGEhJSWHSpElkZWVZrkZdaPTo0ZafExISeOihh7j33nt5+umnKS0tJT8/nxdeeIGHHnqIhx56iG3btjXmIVxWXl4eiqIQHh4OwLBhw0hJSbFxqj+NiT3HwvEXn281UPO5U3M2UHc+NWcTQtSeXHKwsRMnTvDHH3/Qo0ePOs3AXpyyu8bjX8wl/GAuQQu01dgxSdsOf031JLkHFT1PGjMpwUSwxoGntH44abTcajzC7Zq27Cot5+yTU3ju9Vd56KGHrHh0Qoi62LFjB507d8bd3Z2+ffuSmJjIP/7xj0uum5mZyUcffcT8+fNp27Yt+/fvB2DBggVMmDCBkJAQ8vPzefzxx/nkk09sPkS3sLCwxkTj7u7uFBYW2i5QE6Lmc6fmbKDufGrOJoSoPSmmbMRkMrFr1y7y8/MZOnQobdrUbc4nU2m55ec9SjnfmIuZpwukjcaO9eYzvGTK4V1ddXFWqBiZowvAHg1PmDLZqpxjuKY1BhRaa3TM0wWR7evFI48/zr333nvZzoFCiIa1adMmBg4cCEBcXByffPLJZYup3bt307dvX9q2bQtAREQEer2evXv38tprr1nWM5lMlJSU4OHh0fAHcBUXFnQajQaj0WjDNE2Lms+dmrOBuvOpOZsQonakmLKBc+fOkZSUhKurK/Hx8djb29fp9Yqi1BiCt0MpY5CmFW001W9nvLYN75vzyaP6l3I/rRtOmupf2MEaR0r485d1P031BLudcaSyspKysjIppoSwAb1eT2pqKvv37+err74CoKCggMzMzEuuf6lhuCaTCQcHB5YuXdqgWevDw8ODkpISy+Pi4mJVFHhNgZrPnZqzgbrzqTmbEKL2pJhqZDk5OWzbto2uXbvSpUuXOs/TtGvXLuzs7NBoNZYPU65o+etWFMBE9fMXvsl/Xc/hf7fN2bu5VL9O7pMSwiaSk5OJiorixRdftCx7++23SUhIuOT60dHRfPvtt9xxxx14eHhw/PhxvL29CQ4O5rvvvuPWW2/FZDKxc+dOevfu3ViHcVm+vr6WjqVhYWFs2LCBmJgYW8dqEtR87tScDdSdT83Z1CAvL49Jkybx3Xff2TqKat1y/bsUFZVfdT0PDxe+Xzu5ERK1TFJMNRKz2cy+ffvIzMxk4MCB9e7G9dNPP3H48GHua9uaA6dzaIOOWI0r75pP8zfFnTYaO9aZz9AaLX7U/opXm97R8MfqemUSQly7xMRERowYUWPZ8OHDWbBgwSXX79ixI+PGjWPatGkAtG3blueff55p06axePFiVq9eTVVVFWFhYaoopgBmzJjBwoULKS8vJyAggKlTp9o6ksWa3a6kHnUG4MVvvBgQWsHIKPW0qVbzuVNzNlB3PjVns6bx48dbpnRwdHSkf//+PProozg4ONg4WdNWm0KqLuuJ+pFiqhFUVFSQnJyMVqslPj7+mobRPfzww4wbN477T+1CbyrhEa0PPbWujKEtz5hOogCt0TFT54+2lle9dG4utBs1BJa9Uu9cQohrM3PmzIuWRUREsGzZshrLVq/+80uP66+/nuuvv77G861ateKFF15okIzXqnPnzrz11lu2jnFJo3qUMaqHeoqnv1LzuVNzNlB3PjVns7YFCxYQGhpKUVERL730EmvWrGHMmDG2jiXENZNiqoHl5+eTnJxMx44d6dat2zV31Grbti1r1qyh9NBRtg4dh/F/7dFv0rpzk9b9ovUf1/le9vFPdqEA6FydyfFvy+7du8nOzubEiROYTCa6dOki47eFEEIIYTUeHh5ERERYrlTt3buXJUuWkJubS9euXXn00Ufx9vYGqm89+Oijj9iwYQMajYZJkyYxYMAAW8YX4iIyz1QDURSFQ4cOkZSURGxsLJGRkVZrTVxUVMT2U5kY23tBHe+5+iudqzPBE/9Jdl4uaWlppKWlcezYMTIyMqSrkBBCCCGsKj8/n127djFo0CBKS0t56aWXuPfee1mxYgVhYWE1upEaDAa8vLxYsmQJjz76KAsWLKC8XIasCXWRK1MNoKqqim3btlFRUcGIESNqNQlvbZw7d469e/eSn59PREQEfj9+wO+9b6Uqv6je23QK8CXk2ckEGY388ssvVFVVAVQ3ubjGQk0IIYQQArDcD2Y0GvH19eXs2bNkZWURFhZGbGwsAOPGjeO7774jPz8fAAcHB2666SYAevXqhY+PD4cOHapVo47s7GwqKirqlLGyspL09PQ6vUZN278Sa+63OZynuu4jJCTkss9JMWVlJSUlbN26FV9fX/r164dOp7vmbVZWVnLgwAEyMjLo0qULvXv3xs6u+q3r8fHr7Lp7Koaikjpv19GvHX1+WobWzg4nOzsGDx7Mxo0bURQFf39/UlNTcXJyIjw8nPbt20txJYQQQoh6eeONNwgNDUVRFA4ePMiLL77I3//+dzw9PS3r6HQ62rZtS2FhoWUOvQu1bt2a0tLSWu3P39+/zhnT09Ov+KH5WjX09q/EmvttDufJmvuQYsqKjh8/zp49e+jRowfBwcHXvD2j0ciRI0dIS0sjKCiIG2644aLmFd4j44j5amF1QVVQjGIyXXW7OhcnHNv70HfNclw6BFiWe3h40KtXLw4cOGDp/pWdnc3Bgwf5448/CAsLIzg42FLICSGEEELUhUajoVu3bgQFBdG2bVv27t1rec5oNFJcXIynpydms/mi154+fZp27do1Zlwhrko+FVuB0Whk165dFBQUMHToUNq0aXNN2zObzZw4cYL9+/fj6enJiBEjaNWq1WXX9xrajyF7VrN38n8oTEjBeOYcisFw0Xo6V2d0Ls4E3ns7oS88gvYSkwV36NCB4OBgy1WowMBAAgICyM/PJy0tjf3799O5c2dCQkJwdHS8puMUQgghRMtiMBjYsWMHmZmZREdHs2zZMlJTU4mOjubrr7+mU6dOeHt7k5eXh8lkIjMzEz8/P3799Vc0Gg2hoaG2PgQhapBi6hqdO3eOrVu30qpVK+Lj47G/RIFSW4qikJuby549e7C3t6d///61no/KwcOdXl8u5OTBNPK//gXDtn2cO3QUxWhC6+RIm57daDd6GH63XY/O+cqt2f86nE+j0dCuXTvatWvHmTNnOHz4MGvWrCEoKIjQ0FDc3NzqfcxCtFSFhYVWuYJdV3q93ib7ra0qWtHv0frfB9qQKkrzCfRxsXWMy6pSXFT73qr5752aswFWa15la48//jhQfTwdO3Zk+vTp+Pj48Nxzz7FkyRJOnTpFt27dLHPnnffaa6+RnZ1Nhw4deP75561y+4QQ1iTF1DXIzs5m+/btdOvWjZCQkGu6p6ioqIg//vgDvV5PdHR0ve5ROnPmDEn79tCqTxg3zHy03lmupE2bNvTu3ZvIyEiOHDnC+vXradeuHeHh4dJGXYg68PT0ZPv27Y2+3+DgYDIyMhp9v7Wl5nyBPi6kvtfF1jEuq9+jRao9d2p+X9WcDbA0Z2jKPv7448s+FxUVxTvvvHPRch8fH3744YeGjNXkeXi41GpCXg8P9X4J1BxIMVUPZrOZvXv3kpWVRVxcXI2bJ+vqrx36OnbsWK9voUpLS/ntt99QFAXDJYb4WZuzszPR0dF07dqV48ePs3XrVlxdXQkLC8PPz0+aVQghhBBCNKDv106+aJktm1y0VFJM1VFFRQXJycnodDpGjhxZ7/uGrtShr67KysrYsGGDpYjS6/UoitIoBY29vT2hoaGEhISQlZXFvn372LNnD6GhoQQHB8vleCGEEEII0WxJMVUHp0+fJiUlhU6dOtG1a9d6XUGqTYe+uiouLsZkMqHRaCxFVFlZWaPey6TVagkODiYoKIjTp0+TlpbGvn376NKlC507d8bBwaHRsgghhBBCCNEYpJiqBUVROHToEEeOHKFPnz74+vrWeRt17dBXFwEBAfj5+bF69Wo8PDwoKirCaDRaZdt1pdFo8PHxwcfHh5KSEtLS0vj555/p0KEDXbp0sdoExkIIIYQQQtiaFFNXUVVVRWpqKnq9nvj4eFxc6nYT37V06KuLc+fOodVqGThwoGruV3J3d6dv376Ul5dz+PBh1q1bh6+vL2FhYZecjE+IlmzUqFEEBFTP+2Y0GrnuuusYO3bsFV/zxhtvEB0dzciRIxsj4jU7duwYb775JuXl5QQFBTF16lTVfMGi5mwAhaU6Zq705p17c20d5SJqP3dqzqfmbEKI2mke/TYbSHFxMevWrcPFxYVhw4bVuZAqKipi06ZN7N69m8jISIYNG9YghRRUdxb09/dXTSF1IRcXF3r06MGNN96Iu7s7W7ZsYdOmTeTm5qIoiq3jCaEaS5cuZenSpSxatIhvv/2Wc+fO2TqSVc2ZM4fJkyezbNkywsPD+fzzz20dyULN2VZtd2PWt15UVKnzn2w1nztQdz41ZxNC1I46fzPbmKIoHDt2jMTERKKiooiJialTI4Vz586RlJTEli1bCAoK4vrrr2/wQud8MaVmDg4OhIeHc+ONN9KhQwf++OMPfv31V06cOHHJmc6FaKkKCgrw8vLC2dkZgJSUFB566CEmTpzI66+/TkVFhWXdlJQUHnvsMe655x5Wrlxpq8hXlZeXh6IohIeHAzBs2DBSUlJsnKqamrMBjIk9x8LxebaOcUlqP3dqzqfmbEKI2pNhfn9hNBrZuXMnRUVFDBs2jNatW9f6tdbs0FcX5eXllJWVNdhVL2vT6XR06NCB4OBgcnNzSUtLY+/evYSGhtKpU6drmvhYiKZs4sSJmEwmCgoKiIuLw2AwUFpayqJFi5g/fz7e3t4sW7aML774ggkTJgDV81XNmDGDiooKHnroIQYNGoSPj4+Nj+RihYWFuLu7Wx67u7tTWFhou0AXUHM2tVP7uVNzPjVnE0LUnhRTFygtLWXr1q20adOGESNG1PpDfUN06KuL7Oxs2rdv3+RmSddoNPj5+eHn50dRURFpaWkcPHiQjh070qVLlzoPqxSiqVu6dClQfa/mokWLWLFiBREREYSGhuLt7Q3AyJEjeeONNyyvCQkJQafT4ebmRkREBOnp6aospoAav6M0Go3NGuVcipqzqZ3az52a86k5mxCidqSY+p+TJ0+yY8cOIiIi6Ny5c62G5JnNZjIyMti3b5/VO/TVRXZ2Nl26dGn0/VqTh4cH/fv3p6ysjMOHD/Prr7/Svn17wsLCaNOmja3jCdGoHBwciIuLY/Xq1URERFz0/OXuNTQajaq9suvh4UFJSYnlcXFxMR4eHrYLdAE1Z1M7tZ87NedTczYhRO01rUsZDcBsNrN79252797NoEGDCAkJuWohpSgKp06dYt26dRw/fpz+/fszYMAAmxRSlZWVFBcXq/ab6LpydXWlZ8+ejBo1Cjc3NxISEkhMTLSMLReiJTAYDGzZsoXw8HDCwsJIS0sjPz8fgF9//ZUePXpY1q2srASq58E7fPiw5f4LtfH19UVRFNLS0gDYsGEDMTExNk5VTc3Z1E7t507N+dScTQhRey36ylRFRQVJSUnY2dkxcuRIHB0dr/qaoqIi/vjjD/R6PdHR0bRv396mHfROnTpFu3btGuXerMbk6OhIt27dCAsLIyMjg507d2JnZ0dYWBgBAQFNbkijELUxceJEFEXBYDDQv39/br/9duzt7ZkyZQozZ87EYDDQpUsX/v3vf1tes3btWn7++WeqqqqYMmVKne7zbGwzZsxg4cKFlJeXExAQwNSpU20dyULN2dbsdiX1aHUzkhe/8WJAaAUjo8psnOpPaj53oO58as4mhKgdjdJCv+4/ffo0ycnJhISE0LVr16sWROfOnWPv3r3k5+cTERFBx44dVfGB/vfff8ff358OHTrYOkqDOn818NChQ1RUVNClSxc6duyo2iFNQlxNbGws27dvb/T9BgcHk5GR0ej7rS015wv0cSH1PfUOqe73aBEZGVm2jnFJan5f1ZwNbPe7oiVKT08nJCSkyW6/ueyjqR1D87qcUQuKonDo0CGOHDlC3759rzo8zlYd+mrDaDRy+vRpYmNjbR2lwWk0Gtq3b0/79u0pLCy0NKvo1KkTISEhlhbSQgghhBBXc8v171JUVH7V9Tw8XPh+7eRGSCSaKttfWmlEVVVVbNmyhZycHOLj469YSBmNRg4ePMiaNWswm83ccMMNREREqKaQguo5Ktq2bVur4YnNiaenJwMGDGDEiBFUVVWxdu1atm3bxtmzZ20dTQghhBB1MH78eA4fPtzo+61NIVWX9UTLpZ7KoIEVFRWRlJRE+/btiY6OvuwkvGrp0Fcb51uit1Rubm706tWLyMhI0tPT2bhxI56enoSFheHl5WXTe9mEEEKIlmr69Ons3bsXs9nMl19+KV15RbPW7IspRVE4duwY+/btIyYmhsDAwMuul5uby549e7C3t6d///6qngTXbDaTk5NzybbJLY2joyMRERGEhYVx4sQJtm3bhoODA2FhYfj7+6vi3jYhhBCipXj11VcBGDVqlI2TCNHwmnUxZTQa2bFjB8XFxQwbNuyyXa7U1qGvNgoKCnBxccHV1dXWUVTDzs6OkJAQOnXqRE5ODmlpaezdu5fQ0FA6dOigqiGaQgghREuRn5/PwoULOXjwIL6+vkyaNImoqCjL88nJySxcuJDc3FxGjhzJpEmTAHjjjTdQFIWCggLL1A/PPvusfPYRqtJsP12WlpaydetW3N3diY+Pv+QHabV26KuN7Oxs/P39bR1DlbRaLQEBAfj7+1NQUEBaWhr79++nc+fOhISE4OTkZOuIQgghRIvx2muv0bNnT5577jn27NnD7Nmz+eCDDyy3UZw6dYoXXngBs9nMww8/zIgRI+jSpbpzZkZGBv/+978JCAhg5syZ/PLLL/z973+/6j6zs7OpqKiwSv709HSrbKeystJq22rO+1DjMVyp81+zLKaysrLYuXMnkZGRdOrU6aKrTGru0FcbiqKQnZ1NXFycraOomkajwdvbG29vb86ePcvhw4dZs2YNQUFBhIaGqvZeOCGEEKK5qKqq4vjx47z22mvodDr69OlDWFgYqampjBgxAoBbb70Vb29vADp37szJkyctxdSQIUMIDQ0FoGfPnpw8ebJW+7XmF87WaqHd1Fp+22ofTe0Ymk4FUQtms5k9e/aQnZ3NoEGD8PDwqPG80WjkyJEjpKWlERgYyA033NAkr1KUlJSg0Wjkhs46aN26NbGxsURGRnLkyBF+++03vLy8CA8Px9PT09bxRAtUWFhIcHBwo++3ovQ0gT4ujb7f2qpSXGxyXmqjilb0e7TI1jEuS6+vUu250+v1kq2emsqImcspLCykbdu2NRp/eXl5UVhYeMn1HR0dMRqNdX5OCFtpNsVUeXk5SUlJODg4EB8fX6NdeFPq0Fcb54f4qf2+LjVycnIiKiqK8PBwTpw4QXJyMs7OzoSFhTWJe+VE8+Hp6WmTiTibxsSz6pxAVe2Tu6o5n2Srv6Y6l+T5osfT05Pi4mJMJpOloCooKCAyMtKW8YSwmqb9dcf/5OXlsX79evz8/IiLi7MUUoqicOrUKdatW8fx48fp378/AwYMaNKFFEBOTo7cL3WN7O3t6dKlC6NGjSIkJIQDBw7wyy+/cPToUUwmk63jCSGEEE3S6dOnMRqNbNmyBU9PT7y9venQoQNffPEFer2e1NRU0tLS6NOnj62jCmEVTfrKlKIoHDx4kPT0dPr27VtjEt6m2KGvNs6dO0dFRYUMTbMSrVZLUFAQgYGB5Ofnc+jQIfbv309ISAidO3ducRMiCyGEENfizTffZO/evfj5+fHUU08B1fNOLVy4kHHjxuHn58fzzz9v8y+2PTxcajUhr4eHeodFC3VossVUZWUlqampGAwG4uPjcXGp/svelDv01cb5iXqb0zGpgUajoV27drRr144zZ86QlpZWo1mFm5ubrSMKIYQQqjdnzpyLlnl7e/PSSy9dcv2PP/64xuMXX3zR8vPUqVNrPHf77bdbIWG179dOvmhZYzQ+EM1Pkymmzp49S6tWrdBoNBQVFZGUlIS/vz/R0dFotdom36GvtnJycggLC7N1jGatTZs29OnTh/Lyco4cOcL69evx8fEhLCzsoqYmQgghhBCi5WoS1caZM2dYu3YtPXv2RKPRsH//fnr16kVAQABGo5G0tLQm36GvNvR6PSUlJTWGM4qG4+LiQvfu3enWrRvHjh1j69atuLm5ERYWhq+vb7MYNirU5dlnnyUrKwtfX1/mzp172fVGjRrFmjVrGjGZ9RSW6pi50pt37s21dZQajh07xptvvkl5eTlBQUFMnTpVVRODqjmfmrOBuvOpOZsQonZsMlbMXF6K4cBW9In/Rb/pC/SbvqDy928wZhxAMRouWn/fvn0A7Nq1i/379zN8+HDat2/P8ePHWbNmDcXFxYwYMYJevXo120IKqq9K+fj41GgvKhqevb09YWFh3HjjjXTs2JG9e/eydu1ajh8/Ls0qhFW9/PLLPPnkk7aO0WBWbXdj1rdeVFSpb5jynDlzmDx5MsuWLSM8PJzPP//c1pFqUHM+NWcDdedTczYhRO006r9o5rMFVCb/QFXyKkxZB6GiFCrLobIc5VwJxsOpVCb+l6o9CSiGKgBKS0s5deqUZRuVlZUUFBQ0uw59tSFd/GxLq9USHBzMyJEj6dGjB5mZmfz8888cOnSIqqoqW8cTzYzJZGLx4sVMnDiRBx54gF9//bXG8++//z4PPfQQEydO5NixYwCsW7eOJ554ghkzZnDvvffy0ksvYTabbRH/ksbEnmPh+Dxbx7hIXl4eiqIQHh4OwLBhw0hJSbFxqj+pOZ+as4G686k5mxCi9hqtmDLmZVC1/ReUM/lgqLz0SmYTGPSYTx2lKul7FH0Z27Ztu+jDwK5du4iMjGTYsGF4eXk1QnrbMxgMnD59Gj8/P1tHafE0Gg2+vr4MGTKEuLg4SkpK+Pnnn9m9ezfl5VfvDCREbaxZs4aSkhLee+895s+fz8qVK2vMhdOvXz8WL17MTTfdxMqVKy3LTSYT06ZN44MPPiA/P58//vjDFvGblMLCQtzd3S2P3d3dLzuhqC2oOZ+as4G686k5mxCi9hqlmDIV5WLcv/nyRdRFFJSKUqpSV4PRcNH4YUVR8PLyalH3rOTl5eHp6YmDg4Oto4gLtG3bln79+jFy5EgAfv31V1JSUigpKbFtMNHk7dq1i2HDhqHVanFzc6Nv3741CqPo6GgAOnbsWOMDWFBQEO7u7pYrqQUFBY2evSm6sEOqRqOxTDiqFmrOp+ZsoO58as4mhKidBi+mFLMZw56NdSikLnhtxTkGtrOnrKwMAJ1Oh729Pfb29pSWllo7qqplZ2fLED8Vc3V1pUePHtx44420bt2azZs3k5CQYBnGIURtmc3mS35RpCjKJf8uabXay/4dkykUasfDw6PGFyDFxcWq6typ5nxqzgbqzqfmbEKI2mvQf2kNBgPt/XwZ8/QrlmWJfxyi14MzAZj1yfesWL/1CltQUIpOcfutY7jjjjv4+9//zq233srf/va3FjO8D6o/XJ06dYr27dvbOoq4CgcHB7p27cqNN95IUFAQu3btYt26dWRkZKjq3hWhPuebmRw/fpx27doRHR3Nhg0bMJvNlJaWkpycbLkaJazL19cXRVFIS0sDYMOGDcTExNg41Z/UnE/N2UDd+dScTQhRew3aGv3bb78lulMAOw8e4VBmDuFBNYuBmf+65eobMRkwZx9B2yGyYUI2Afn5+bi5uVkmJhbqp9Pp6NixIx06dCA3N5dDhw6xd+9eunTpQqdOnbC3t7d1RKEyzz//PHl5ebi7u/PUU0/h5eVFdnY2DzzwAFqtlttvv52OHTvaOuY1WbPbldSjzgC8+I0XA0IrGBlVZuNU1WbMmMHChQspLy8nICDgoslCbU3N+dScDdSdT83ZhBC1o1EacAzS0MGD+XuvEPYfPYHJZObtR/6PxD8O8fi7n7PjvVlMnLecbh38efz260k9dIypi7+gXF+Jg50dr0z8B0N7dOVQZg5Pvr+SYrMdJpOJRx55hAkTJjRUZFXauXMnzs7OdO3a1dZRxDUoKioiLS2NvLw8OnXqRJcuXXB2drZ1LGEjsbGxbN++vdH3G+jjQup7XRp9v7XV79EiMjKybB3jkoKDg2s0AVEbNeeTbPVnq98VLVF6ejohISFNdvvNZR9N7RgabJjfgQMHSEpJ4bbBfbg7fgArNiRRePbcJdc1GI3c+eI7PDPuZna8N4t3HvsXTy75kiqDkXEvLWH2xDvZsWMHCQkJzJs3j+Tk5IaKrTqKosj9Us2Eh4cH/fv3Jz4+HqPRyNq1a0lNTeXMmTO2jiaEEEIIIeqhwYqpxYsXM/r6kXi2cSM2rCMdfLxY/nPiJdfddzwbrU7LqL7V9wPEdOnA9iUvcjTnNMdOnWbS3Pfo0aMHQ4YMoaKigl27djVUbNUpLi7Gzs6uRcyj1VK4ubkRExPDqFGjcHNzIyEhgc2bN3P69GlpViGEEEII0YQ0yD1TZWVlfPrppzg6OBA2LgUUhdLyChb/+BsxocEXh9Bp+Wvvqv0nslEUhTauzqQsew2nof8EqluEt2nTpiFiq1J2djbt27dvUW3gWwpHR0e6detGWFgYJ06cYMeOHdjb2xMWFoa/v790YhNCCCGEULkGKaZWrFiBp6cnaWmHMG7+GqoqKDlXTti/ppF/5uKhfqEBvmg0Gjbs3M+ImAh2HclgzHNvkv7Z6zg5OPDl1r3cM/SfZGVlERMTw/fff8/AgQMbIrrqZGdn07t3b1vHEA1Ip9PRuXNnOnXqRE5ODmlpaezZs4fQ0FA6duyInV2D9okRQgghRBN0y/XvUlRUftX1PDxc+H7t5EZI1DI1yKe0xYsX88QTT2BnZ4/iH4rpxB7c3VyYPGYEb3+77qL1HR3s+fL5yTy15EueWbYSezsdXzw/GQd7O75+6XGe/mQN87+MxmAwMHv27BZTSJWWllJVVSXzTrQQGo0Gf39//P39KSgoIC0tjQMHDliaVTg5Odk6ohBCCFFrer2esWPH4u/vz6JFi2wdp9mpTSFVl/VE/TRIMXXhPU12wRGYTh4CQyX/GX8L/xl/i+W5pU/+2ZWvV2gHfps//aJtde/WjU2bn22ImKonQ/xaLi8vL7y8vCgtLeXw4cOsWbOGwMBAQkNDad26ta3jCSGEEFeVmppKdHQ0aWlp0kxLNFsNPn5I4+iMzq8zpuwjYDLU7cX2jth1698wwZqA7OxsunXrZusYwoZatWpFr169iIiIID09nY0bN+Lp6Ul4eHiLmri6OSosLCQ4+OJ7SBtaFa3o92hRo++3tvT6Kpucl9qoKD1NoI965/urUlxUe+70er1kq6emfP9sYmIi8fHx+Pj4kJiYyNixY8nLy+PBBx/ktttuY+3atSiKwiOPPMKePXtISEhAq9UydepUevTowcKFC2nVqpVlSpyqqiruuusu3nnnHdq1a2fjoxOiWqPcjGEX3g9Ffw5z4alaF1RGjY7iNsEEtvVt4HTqVFFRwdmzZ+WXhQDAycmJyMhIwsPDOX78OCkpKTg5OREWFkb79u2v+I9tZaWJQ+mlGIwKAX7O+LaT4YJq4OnpaZO5Y9Q+p46a8zWNObrUee7U/L6qORtUzzPVFOn1eg4cOMDTTz+Nl5cXb7/9NmPHjgXAYDDQqlUr3n//fdavX8/s2bO59957ef/991m3bh0ffvghCxcuZNiwYbzxxhvce++9aDQaUlJS6NSpk3w2EqrSKMWURqPBvkc8xkPJmE4dBUMVcJkW0Fo7sLNDF9qPPbsPUdkIE3epUU5ODr6+vuh0OltHESpiZ2dHly5d6Ny5M9nZ2Rw6dMjSrKJDhw41mlXo9Sbe/uAoCUkFmEwKiqKg02lp7+PEU1O6ENpZ2u0LIYRoGMnJyfTq1QsHBwe6du2KXq/n5MmT2Nvb4+DgwK233gpATEwMjo6O3H777UB18bhixQoAoqKiANi/fz+RkZH89ttvDB8+vFb7z87OpqKiok6ZKysrSU9Pr9Nr1LT9K7HmfpvDearrPq5UizRamzCNRoN91/7YdeqOMWMfpux0UBT+LKo0aBwc0XXsjs6vExqtjiFtfNi4cSP29vaqvgTfELKzs+nQoYOtYwiV0mq1BAYGEhAQQEFBAfv27aNPnz5ERESwfv16wI5JT+8iI6scg/HCLy5MnDlr4PGZe3jl2Qiiu7nb6AiEEEI0Z4mJiezatYvU1FQAysvLSUhIID4+vsZ6Dg4ONeZYtLe3x2g0AtWfHYcMGcLGjRsJDg5m7969PPnkk7Xaf33uz0pv4C/wG3r7V2LN/TaH82TNfTR6z2WNowv2oX2wC4lFKT8LhkrQatE4OKNxdquxrpubG4MHDyYhIQE7O7sWc+OiwWCgoKCA/v1b7v1ionY0Gg3e3t6cPn2aXr16sX37dt5//33yz/UiI8v4l0LqT2fOGpk59yDffNAPnU4anAghhLCe8vJyDh48yHvvvWdpopWZmcnSpUsvKqauZvjw4UybNo3g4GB69eqFq6trQ0QWot5sNoGNRqtF4+Z+1fXatGlDXFwcmzdvxs7ODh8fn4YPZ2OnTp3Cy8sLe3t7W0cRTcTixYv55z//SVhYGLt37+ZURQ8KcneScWgpDs4+6Msy0eqcCQgZR87xb6g4l4Vv4BC2bnuXTz6YQbt27Xj55ZcB+Oyzz/jmm2/47rvvbHxUQgghmqLk5GS6du1a494mLy8vSkpK0Ov1ddpWhw4d8PT05NNPP+Wpp56ydlQhrlmTaBHj4eHBgAEDSE5OpqCgwNZxGpy0DxV1ceDAAZKSkvjHP/7B+PHj+fzzLzAaqifHLj1ziICQcfQY/AE6OxdOpq+gW59X6TH4fbLSv+OntQeYMmUKH374oWVYxfvvv8+kSZNseUhCCCGasM2bN1/UOEOj0RATE8PKlSvrvL1hw4ZhZ2dHr169rBVRCKux2ZWpuvL29qZPnz78/vvvDBkyBHd3d1tHahAmk4nc3Fx69Ohh6yiiiVi8eDE33XQTnp6eeHp6EhAYTOaRVdg7h+Pk7Idbm+ruY04u7bGzd0OrtUfr4I7OzoXS0hJ69BhMx44dWb16NaGhoeTk5HDdddfZ+Kharp07d/Lss88yefJkbr75ZlvHsapjx47x5ptvUl5eTlBQEFOnTlXNkB01ZwMoLNUxc6U379yba+soF1H7uVNzPjVnuxb/+c9/Lrn86aefBmDq1KmWZT4+PjVGQvz1MVR3BhwyZIg05foLDw+XWk3I6+Gh3ikdmoMmU0wB+Pn5ERMTQ2JiIsOGDaNVq+bXjez06dO0bt0aZ2dnW0cRTUBZWRmffvopjo6OloYlZ8+epVz/DSHR09Hqag4V1Wh0F/ysIbRj9T/aU6ZMYfny5YSGhvLAAw/IRNE2lJCQwJAhQ9i0aVOzK6bmzJnDk08+SXh4OP/973/5/PPPmThxoq1jAerOtmq7G7/td6WiSp2DSdR87kDd+dScTS0URWH9+vU899xzto6iOt+vnXzRMls2uWip1Pmb+QoCAwOJjIwkISGBsrIyW8exOhniJ+pixYoVeHp6kpOTw4kTJzhx4gTHjh0Dsx5DVcmVX6yBgX2rJ/69/fbb2bVrFytXrrRMjigan8FgICUlhUmTJpGVlUVeXh4A48ePZ+HChTz00ENMnDiRTZs28Z///If77ruPmTNnYjKZ+O2335g1a5ZlW4cPH+bhhx+21aFcJC8vD0VRCA8PB6qH7aSkpNg4VTU1ZwMYE3uOhePzbB3jktR+7tScT83Z1GT37t04OjrSpYt653gTLVuTK6YAOnXqRJcuXUhMTKzzjYxqpigKOTk5UkyJWlu8eDFPPPFEjaEP7u7uTJ7yMKczLz8u3c3VDicHLc5O1a9zcHDg9ttvZ8CAAXh5eTV4bnFpO3bsoHPnzri7u9O3b18SExMtz0VGRrJ48WJuvfVWPv74YyZPnswHH3xAWVkZO3fuJC4ujkOHDlnuK129erWqrmwVFhbWGJ7t7u5OYWGh7QJdQM3Z1E7t507N+dScTU169uzJ+++/b+sYQlxWkyymAMLCwggMDCQxMZGqqipbx7GKoqIiHBwcmuXwRdEwdu3axZQpUy5aPv+NV9i3bye3/d9/adOqejRv56jHCOt+H23b2PPgvzpy9mwRkZGRQPVwwYSEBP797383an5R06ZNmxg4cCAAcXFxbNq0yfLc+fcqICAAb29vS2dTf39/y++OESNGsHbtWkuBNXTo0MY+hCvSav/8J0ej0VianqiBmrOpndrPnZrzqTmbEKJ2mtQ9U38VERGBwWBg8+bNDB48uMm3Ej958qRclRJW4+/rzKfv9CYtvZQtKYXoK02EdnZjyABvHOz//Ad87dq1jB07lsmTJ9OvXz8bJm7Z9Ho9qamp7N+/n6+++gqAgoICMjMza6x34Yev84/PT3h54403Mn36dFxcXBg8eDCOjo6NE74WPDw8KCkpsTwuLi7Gw8PDdoEuoOZsaqf2c6fmfGrOJoSovSZdTGk0Gnr06MG2bdvYunUrcXFxTbbTi6IoZGdny4dZYXVhIa0IC7n81c7rr7+eoqKiRkwkLiU5OZmoqChefPFFy7K3336bhISEWm/Dz8+PwMBAPv30UxYtWtQQMevN19cXRVFIS0sjLCyMDRs2EBMTY+tYgLqzqZ3az52a86k5mxCi9pp0MQXVBVVsbCzJyckkJyfTv3//i765bQpKS0sxmUy0bdvW1lGEEDaQmJjIiBEjaiwbPnw4CxYsqNN2Bg0ahEajoX379taMZxUzZsxg4cKFlJeXExAQUKM9sq2pOdua3a6kHq3u8PriN14MCK1gZJR6GjCp+dyBuvOpOZsQonY0yvnxIU2cyWTi999/x9HRkT59+jS51s4HDx6koqJCvpUSooWIjY1l+/btVt/uiy++yKhRo+jTp88lnw8ODiYjI8Pq+7UWNecL9HEh9T31dhTr92gRGRlZto5xSWp+X9WcDRrud4W4WEO3FW+MtuXNYR9N7Ria3iWcy9DpdAwYMMBy43VTqxGlJboQ4lqdOnWKjIwMYmNjbR1FCCGEaBGaTTEFYGdnR1xcHEVFRezdu9fWcWqtvLycc+fO4e3tbesoQogmzM/Pj+XLlzfJoc5CCCFEU9Ts/sV1cHBg0KBBZGdnc/DgQVvHqZWcnBz8/PzkA5AQQgghhBBNSLP89O7k5MSQIUM4duwY6enpto5zVTLETwghhBBCiKanWRZTAC4uLgwZMoSDBw+q+sbSqqoqCgsL8fX1tXUUIYQQQgghRB0022IKwM3NjcGDB/PHH3+QnZ1t6ziXdOrUKdq1a4edXZPvUi+EEEIIIUSL0uw/wbdp04a4uDg2b96MnZ0dPj4+to5UQ3Z2tirngxFCNKzCwkKCg4Mbfb96vd4m+60tNeerNJjp82CarWNcVpXiptpzp+b3taL0NIE+LraOcVlaeydbR2hQeXl5TJo0ie+++87WUZqcW65/l6Ki8quu5+HhwvdrJzdCInVq6PPU7IspAA8PD/r3709SUhJxcXF4enraOhJQPTdWXl6ezC0lRAvk6elpk7lj1D6njprzNY15ptR57uR9rb/Rz5XYOkKdjR8/HoDly5ej0+kAOHDgAFOnTuWuu+7C19eX9evX8+qrr9oyZpNXmwKhLus1Vw19npr1ML8LtWvXjt69e7NlyxZKSkpsHQeo/jbG3d0dJ6fm/a2TEEIIIVqerVu3Wn7+8ccfadeuHQDx8fFSSIlmo8UUUwDt27enZ8+ebN68mdLSUlvHkSF+QgghhGiWbrrpJr7//nsAiouLOXr0KL179wZg8+bNPP3005d83ffff8+UKVMoL6++SrBq1Sruvfde/vGPf/DWW29RVVXVKPmFqK0WVUwBBAUF0a1bNxISEiz/o9qC2WwmJydHWqILIYQQotnp3r075eXlpKWlsWbNGkaNGnXV+TS3bt3KqlWrmD17Ni4uLiQkJPDLL7/w8ssvs3z5cnJzc/npp58a6QiEqJ0Wcc/UX3Xu3Bmj0UhCQgLDhg2zyTC7wsJCnJ2dcXNza/R9CyGEEEI0tL/97W98++23HD9+nAULFvDxxx9fdt20tDSWLFnCnDlz8PDwAODXX39l3LhxllE8o0eP5ueff+a222676r6zs7OpqKioU97KysoGnZ+0obd/Jdbcb0s8TyEhIZd9TYsspgDCwsIwGAwkJiYydOhQHBwcGnX/MsRPCCGEEM3Z8OHD+eijjxg6dCiurq6XXc9oNPLiiy8SHh5OQECAZXl+fj5z587l9ddfB0BRlFp3hazPyJ/09PQrfmi+Vg29/Sux5n7lPNXUYospgIiICAwGA5s3b2bIkCGNNteToihkZ2czYMCARtmfEEL9Ro0axbBhwyz3ESiKwoMPPoi7uztz587l999/JykpiSeffJJ169axZ88epk6dauPUdXPs2DHefPNNysvLCQoKYurUqVf8gNWY1JwNoLBUx8yV3rxzb66to1xE7edO7fnU/N5eK0dHRx5++GFCQ0OvuJ6iKDzzzDO89dZb/Pe//+WOO+4Aqrue3nffffTt27cx4gpRLy3unqkLaTQaevToQatWrfj9998xmUyNst8zZ84A4O7u3ij7E0I0DZmZmeTn5wOwfft2S0thgIEDB/Lkk0/aKppVzJkzh8mTJ7Ns2TLCw8P5/PPPbR3JQs3ZVm13Y9a3XlRUqfOfbDWfO1B3PrW/t9YwaNCgq87xaW9vT2RkJDNnzmTlypWkpKQAMGLECD755BOOHz+OwWAgIyOjRodAIdSg+f7fW0sajYbY2Fjs7e1JTk7GbDY3+D7PD/HTaDQNvi8hRNNx00038cMPPwDwww8/cMstt1ie++2333jjjTcues3Jkye5//77SU9PR1EUPvvsM6ZMmcL999/P4sWLURSlseJfUV5eHoqiEB4eDsCwYcMsH5hsTc3ZAMbEnmPh+Dxbx7gktZ87tedT83trCwEBAUybNo158+aRkZFBfHw81113HS+//DL/+Mc/mDNnDmVlZbaOKUQNLXqY33larZa+ffuyZcsWtm3bRp8+fRq00MnOzqZHjx4Ntn0hRNM0fPhwHnroIQYOHIi9vf1Vx/zn5+fz0ksvMXXqVEJCQli3bh16vZ5FixahKAqzZs0iKSlJFUOKCwsLa1yNd3d3p7Cw0HaBLqDmbGqn9nOn9nzN1eUaTUyePNny86BBgwDw8fHhu+++syzv1asXX3/9teXxmDFjGDNmTAMlbdo8PFxqNdGsh4dLI6RRr4Y+T1JM/Y9Op2PgwIEkJiaya9cuevbs2SAFVVlZGRUVFXh5eVl920KIps3BwYEhQ4Ywa9Yspk+ffsV1z549y7PPPsvkyZPp2rUrAKmpqRw+fNjyzXtlZSW5ueq5D+PCtsgajQaj0WjDNDWpOZvaqf3cqT2fEPX1/drJFy2zZfMGtWro8yTF1AXs7OyIi4tj06ZN7Nu3j6ioKKvvIzs7Gz8/v6vOtSCEaJluuukmMjMziY6OZt++fZdd7+DBg4SFhbF582bLlW5FUZg4cSJxcXGNlLb2PDw8KCkpsTwuLi62tD+2NTVnUzu1nzu15xNCNH3yif4vHBwcGDx4MCdPnuTQoUNW375M1CuEuBIPDw+ee+65q67Xt29fnn/+eTIzM/nqq68AiImJYdWqVZZ7Ck6dOkVmZmaD5q0tX19fFEUhLS0NgA0bNhATE2PjVNXUnE3t1H7u1J5PCNH0yZWpS3BycmLIkCFs3LgRe3t7OnfubJXtVlZWUlxcfNWuNkIIURsODg7MnDmTJ598Em9vb2644QYKCwt57LHHMBqNuLq68thjj9k6psWMGTNYuHAh5eXlBAQEqKq1u5qzrdntSupRZwBe/MaLAaEVjIxSz034aj53oO58an9vhRBXp1HU0upJhUpLS9m0aRPdu3cnKCjomrd34sQJsrOzGThwoBXSCSGastjYWLZv397o+w0ODiYjI6PR91tbas4X6ONC6ntdbB3jsvo9WkRGRpatY1ySvK/1N/q5EnbuU+e5a26aw2S0zWEfTe0YZJjfFbRq1YrBgweze/ducnJyrnl72dnZMsRPCCGEEEKIZkKKqato06YNcXFxbNu2jdOnT9d7O0ajkdOnT+Pn52fFdEIIIYQQQghbkWKqFjw8POjfvz9JSUn1np8iLy+Ptm3b4ujoaOV0QgghhBBCCFuQYqqW2rVrR+/evfn99985c+ZMnV8vQ/yEEEIIIYRoXqSYqoP27dvTo0cPEhMTKS0tpbS0lD179lz1dWazWVqiCyGEEEII0cxIa/Q6CgoKwmAwsHHjRoxGIyaTic6dO+Pq6nrZ1xQUFODq6oqLi0sjJhVCCCGEEEI0JCmm6qFNmzZUVVVhNpvRarXk5OTQpcvl26rKED8hxF8VFhYSHBzc6PutKD1NoI96v9ipUlxscl5qo4pW9Hu0yNYxLkuvr1LtudPr9arNpvb3VavR2DqCEOIKpJiqI0VR+P333zk/PZfZbCYjI6NGMVVcpnCmHEwmBQc7OJmTx+C4/raKLIRQIU9PT5vMM6X2OXWq50pS55w6ap4rCdSdT7LVX2xsrK0jCCGuQIqpOtJoNFx33XWcOHGCo0ePUlFRQVFREZWVVeSU2HHoFFQZwWAEBdBpFRTPYezLtSfKXqG1i3zDJIQQQghhS7dc/y5FReVXXc/Dw4Xv105uhESiqZJiqh6cnZ3p2rUr4eHhlJSUsGfvPrYe0VJcDiZzzXVNZg1gT04xFJQqxHZU8PeUvh9CCCGEELZSm0KqLuuJlkuKqWug0Whwd3dH124gBWfArFx5/SojbD8GDvZmvFtLQSWEEEKI5mX8+PEUFBSg1Wrx8PBg1KhR/POf/7R1LCEajBRT9XTixAk6d+5M14goyvRgMplwdHLhX4/MI7z7wMu+bsEL9/JjaCRL5z+JRm4qFUIIIUQzs2DBArp06UJ2djYzZswgNDSUmJgYW8cSokFIMXUNnJ2deefLnZw+W/146/r/8u5LE3jr67Qrvs5khuIy8HBrhJBCiCZh1KhRBAQEANW/W6ZMmUJYWJiNU1lfYamOmSu9eefeXFtHqeHYsWO8+eablJeXExQUxNSpU6845UVjU3M+NWcDdedTc7ZrpdFoCAgIICwsjFOnTgHw448/8s0331BRUcGgQYN44IEHcHBwoLCwkLfeeou9e/fi4uLCsGHDuO+++wBYtWoV33//PefOnWPQoEFMmjQJBwcHWx6aEDVIMXWNSi4YSnvubCFtvfwAWP/9+6z5ehFarY42Hu2YMPVt2geFArBv9xYGx32Dueos1113HfPmzcPOTt4KIVq6pUuXArBjxw4WLFjAkiVLbJzIulZtd+O3/a5UVKlvmPOcOXN48sknCQ8P57///S+ff/45EydOtHUsCzXnU3M2UHc+NWe7ViaTibS0NA4cOMCECRPYtWsX3377LbNnz8bd3Z25c+fy5Zdf8q9//YuPP/4Yf39/pk2bRlFREcnJyQAkJCTwyy+/8PLLL9OqVSteeeUVfvrpJ2677bar7j87O5uKigqrHEt6erpVtlNZWWm1bTXnfajxGEJCQi77nHyCvwYVFRU8Pi4GM1BWWkxxwSmenvsd+7b/xqrP5vHy0t9p3dabTas/4vVptzH/870AFJ3OZsGHG7khxpHrr7+epUuX8tBDD9n2YIQQqhEVFUVeXp7l8dq1a/nmm29QFIVevXoxceJEdDodP/zwA6tWrcJsNuPh4cHMmTNp3bo1K1asICkpicrKSnr16sWkSZNUMax4TOw5xsSeY8J77W0dpYa8vDwURSE8PByAYcOGMWPGDNV8qFVzPjVnA3XnU3O2azV16lQURUGj0TBnzhzat2/PV199xejRowkMDATg7rvv5tVXX+Vf//oXlZWVVFZWUlVVRUBAALfffjsAv/76K+PGjaN9++rfGaNHj+bnn3+uVTFlzfk9r/RBui7S09Ottq3mvI+mdgxSTF0DZ2dn3vx8J5XG6sd7Utfz+vTb6NnvBgbE30Hrtt4ADB19Dx8ueJz8UycAGHzD3Ti7uOLgoOXuu+9m9erVUkwJIYDquex+/PFHy/0Fx48fZ+XKlSxYsAAXFxdee+01fvnlF4YMGcJHH33E559/jpOTE+np6eh0OtavX49er2fRokUoisKsWbNISkpiwIABNj4y9SosLMTd3d3y2N3dncLCQtsF+gs151NzNlB3PjVnu1ZvvPEGQUFBTJ48mfT0dKKioigqKqJHjx6WdTw9PSkqqp4s+Z577uHdd99l/PjxeHt7c9dddzFs2DDy8/OZO3cur7/+OlD9+1Gtkz+LlkuKKSuK7hOPb0AIRw/toH3wX+51UBSMRgMAWq0O5/8N9zWbzdjb2zdyUiGEGk2cOJEzZ87g6+vLnDlzANizZw+9e/fGza36JssRI0bw66+/csMNN+Dl5cWCBQvo0aOHZZ3U1FQOHz5MSkoKUD2UITdXXfcnqZFW++fQQ41Gg9FotGGai6k5n5qzgbrzqTnbtXJycuKJJ57gueeeo2fPnnh4eFBQUGB5vqCgAA8PDwD8/PyYPXs2RqORLVu2MH/+fOLi4vD09OS+++6jb9++tjoMIa5KfQPXmxhXpz9/zsk8TP6pE9zyf0/z+7qvOFucD8DGnz7ErY0nvgHVlxO3bviKYI8q9Ho9H3/8MaNGjbJFdCGEyixdupSFCxdSUFDAsWPHrriuTqdj0aJFDB06lOzsbB555BEyMjJQFIWJEyeydOlSli5dyieffFKrITEtmYeHByUlJZbHxcXFlg95aqDmfGrOBurOp+Zs1hIZGcmoUaN4/fXXGTx4MKtXryYrK4vS0lJWrFjBsGHDAPj00085fPgwUH1enJyc0Ol0jBgxgk8++YTjx49jMBjIyMhg69attjwkIS4iV6auQUVFBY+OjaGsEhRAMZt5YNoSBsTfgclk4sWH41EUM63dvZk+7wfLN1B+/h34+02DKS0t5dZbb2X8+PG2PRAhhGr4+fkxbdo0Xn31VebNm0d0dDQvv/wyY8eOxdXVlfXr19OjRw9KSko4ceIE/fv3p3///hw9epTc3FxiYmJYtWoVPXv2xNXVlVOnTmEwGAgKCrL1oamWr68viqKQlpZGWFgYGzZsUFUbZzXnU3M2UHc+NWezpnvuuYcpU6awe/du/v73v/Pcc8+h1+uJi4uzzD/l7OzMK6+8QlFREe3bt2fGjBlotVri4+MpKyvj5ZdfpqCgAB8fH8v9VNfKw8OlVhPyeni4WGV/ovnSKIpylalmxZUoisJv+xWKz1UXVFdjr4PencDfUy4KCtGSxcbGsn37dsvjUaNGsWbNGsvjn376iR9//JH58+eTkJDA999/j9lsJiYmhgcffJDS0lJeffVVcnNzcXBwICoqismTJ6PRaFixYgWJiYkYjUZcXV157LHHLDfaBvq4kPpel0Y/XoA1u11JPepMRoEDwV5VDAitYGRUWY11+j1aREZGVqNnO3r0KAsXLqS8vJyAgACmTp1Kq1ataqwTHBxMRkZGo2dTez41Z6tNPjVng4t/V4iGI40V1LGPpnYMUkxZgcGksGm/wtkKMF/hbNrrICoIOvtIISVES2erD0i2LKZqw1bFVG3Y8kN3bag5n2SrPymmGo8UCerYR1M7BvlUbwX2Og3DIzWE+YGTPdjpaj7vYAcerjAgVAopIYQQQgghmgu5Z8pKdFoNkUEaIgIVcooVisvAaAJnBwjw0ODqZPs5XoQQQgghhBDWI8WUlWk0Gvw9NPg3r4Y8QgghhBBCiL+QMWdCCCGEEEIIUQ9STAkhhBBCiBYvOTm5SW+/ueyjqR2DFFNCCCGEEKLFW7FiRZPefnPZR1M7BimmhBBCCCGEEKIepAGFEELYgJeXF7GxsY2+X629E6OfK2n0/daWVqOxyXmpDa1Wq9psoO58kq3+vLy8bB1BCHEFUkwJIYQN/PLLL7aOIIQQQohrJMP8hBBCCCFEi3fXXXc16e03l300tWPQKIqiWG1rQgghhBBCCNFCyJUpIYQQQgghhKgHKaaEEEIIIYQQoh6kmBJCCCGEEEKIepBiSgghhBBCCCHqQYopIYQQQgghhKgHKaaEEEIIIYQQoh5UOWlv3M0JaLRaNFoNWp0OjVaLVqtBo6leZnnO8vjP53Q6nWVZzec11dvQatFo/ve8VoNWp0X7v8c11ju/joYLtqdBq/vz+erXccFr+PM1Gg1aLdXra/73nAbLepbtnv9ZQ/X6ltf/uezCdWr+rKCzPK/UfB7lgnX/9zMKWq1S43mNRkF7wc8aLnxeQasxo+XP5/76X+2Fy6he//zPf/4xV6+j/O+xYrb8V6uY/vdzzeXV65rhr8vNJjSKAorZspz/rY/y5/qW15lNYK5+XHO9//18wXOcf/yX12A+/9+ay5Tz/zUZ/3ytoqCYaz6PYkYxVz+vKAqK0WRZduG6lnX+t1z53zbNRnP14/PLzYplPxcuO/+zyWD+y7I/1zGbLn5sNppQTH8+ZzYpKKYL1jcpmI0KiqH6v6YKM4rBbFk22pBm618ZQgghhBA2IVemhBBCCCGEEKIepJgSQgghhBBCiHqQYkoIIYQQQggh6kGKKSGEEEIIIYSoBymmhBBCCCGEEKIepJgSQgghhBBCiHqQYkoIIYQQQggh6kGKKSGEEEIIIYSoBymmhBBCCCGEEKIepJgSQgghhBBCiHqQYkoIIYQQQggh6sHO1gEuZdKdWdx99922jtEEaC76+bPPPpNzVw9y3upPzp0QQgghWipVXplasWKFrSM0WXLu6kfOW/3JuRNCCCFES6XKYkoIIYQQQggh1E6KKSGEEEIIIYSoBymmhBBCCCGEEKIeVFlM3XXXXbaO0GTJuasfOW/1J+dOCCGEEC2VRlEUxdYhhBBCCCGEEKKpUeWVKSGEEEIIIYRQOymmhBBCCCGEEKIebDJpb15eHvPmzSMtLQ0fHx8eeeQRoqKiLlovOTmZzz//nJMnT+Li4sLf/vY37rjjDhskVo/anrsLvf766xw9epQlS5Y0Ukp1qsu5Kygo4MMPP2T79u2Ul5czb948wsLCGjmxetT23On1epYsWUJSUhIAffv2ZfLkyTg5OTV2ZCGEEEKIBmeTK1MLFiwgIiKCL774gnHjxvHqq69SVVV10Xrl5eXcfffdfP7557z22musXr2aHTt22CCxetT23J330UcfkZWV1YgJ1au2566iooLp06cTEhLCsmXL+O9//0twcLANEqtHbc/dZ599RkVFBcuXL+e9996jsLCQr776ygaJhRBCCCEaXqMXU6WlpRw8eJBx48bh6urKsGHDaN26NQcOHLho3eHDh9OnTx+cnJzw9/ene/fuHDt2rLEjq0Zdzh3AL7/8wokTJ7j33nsbOan61OXcrV69mpiYGG699VZatWqFs7Nzi76yUpdzl5WVRXh4OK6urri7u9OrVy9yc3NtkFoIIYQQouE1ejGVm5uLu7s7Dg4OlmX+/v7k5ORc8XWKonDkyBECAwMbOqJq1eXcbd++nbVr1zJ9+nR0Ol1jxlSlupy7HTt2cOrUKe655x7+/ve/85///IczZ840ZlxVqcu5Gz16NCtWrODLL7/k5MmTbN68mdGjRzdmXCGEEEKIRtPoxVRlZSWOjo41ljk6OlJZWXnF133zzTfodDp69+7dkPFUrbbnLjc3lw8++ICZM2e26CsqF6rL37v8/Hy6d+/Ou+++y6effkqbNm14++23Gyuq6tTl3HXo0IHg4GBycnJ44okncHZ2plOnTo0VVQghhBCiUTV6AwpHR0dMJlONZZf6sHahhIQEfvzxR+bNm9eir7LU9tydPn2akydPMn78eKD6qp7JZOJvf/sbX3zxBa6uro2WWS3q8vdOo9HQrVs3XFxcALjzzjt5/PHHGyWnGtXl3L322mvceeed9OnTh8rKShYuXMg777zDU0891VhxhRBCCCEaTaNfmfL19SU/Px+9Xm9Zlp2djZ+f3yXX37hxI8uXL+eVV17B29u7sWKqUm3PXXR0ND/++CM//PADP/zwAy+//DJBQUH88MMPLbKQgrr9vfP19SUjI8Py2Gg01hji1tLU5dwdO3aMoKAgoLoIGzlyZIu+z1EIIYQQzVujF1OtWrWia9eufPXVV1RUVJCYmMiZM2eIiIjg999/Z+LEiZZ1f/rpJ1asWMHcuXNp3759Y0dVnbqcO1FTXc7d8OHD+fLLL8nKyqKsrIwVK1YwdOhQ24W3sbqcu8jISD755BNKS0spLS3ll19+oUePHrYLL4QQQgjRgGwyz9Sjjz7KG2+8wcqVK/H19WX69Ok4ODhQXl7OyZMnLeslJiZy6tQpJkyYYFnm4+PD8uXLbRFbFWp77sTFanvuhg0bRmFhITNmzMBgMDBkyBD+9a9/2TC57dX23D3++OO8++67TJgwATs7OwYNGiTdJIUQQgjRbGkURVFsHUIIIYQQQgghmhqbTNorhBBCCCGEEE2dFFNCCCGEEEIIUQ9STAkhhBBCCCFEPUgxJYQQQgghhBD1IMWUEEIIIYQQQtSDFFNCCCGEEEIIUQ/Nrpj67LPPmDVrlq1jCCGEEEIIIZo5VRZTc+bMYd68eRctP3fuHDfffDMnTpxo/FBCCCGEEEIIcQFVFlMjRoxg69at6PX6GssTExMJCgqiQ4cOtgkmhBBCCCGEEP+jymIqNjYWR0dHkpOTayzfuHEj8fHxzJ49mzvvvJMxY8Zw3333sXbt2stua9SoURw9etTy+K/DANPS0njqqae47bbbuP/++9m4caP1D0gIIYQQQgjR7NjZOsCl6HQ6hgwZwm+//cbQoUMByMvL49ChQzzzzDNERUXh6+uLq6srGRkZPP7440RHR+Pn51en/RQWFvLcc8/x0EMPERcXR1paGjNnzqRTp04EBwc3wJEJIYQQQgghmgtVFlMA8fHxPPbYY5SUlODu7s7GjRvp2bMnbdu25ejRo3z55ZccOXKE0tJS9Ho9mZmZdS6mfvvtN6Kiohg+fDgAUVFRdO/enW3btkkxJYQQQgghhLgi1RZTISEhBAQEkJCQwJgxY9i4cSNjx47l4MGDzJ49m3vvvZcHH3wQd3d37r//fkwmU533kZeXR0pKCn/7298syxRFwd/f35qHIoQQQgghhGiGVFtMAQwfPpyNGzcSERFBQUEB/fv3Z9WqVURERHDLLbfUaht2dnYYDIZLPuft7c2AAQN49tlnrZhaCCGEEEII0RKosgHFecOHD+fIkSN89tlnDBo0CEdHR/z9/cnMzCQ/Px+9Xs/XX39NYWHhZbcRFBTE77//TlVVFXv27GHz5s2W54YOHcquXbv49ddfqaio4Ny5c+zatYtDhw41xuEJIYQQQgghmjBVX5ny8vKie/fupKSkMHfuXAAGDBjAH3/8wYMPPoiTkxMjRoygdevWl93G5MmTefPNN/n555+JiIigQ4cOlitVPj4+zJ49m48//pilS5cC0LlzZ+6///6GPzghhBBCCCFEk6ZRFEWxdQghhBBCCCGEaGpUPcxPCCGEEEIIIdRKiikhhBBCCCGEqAcppoQQQgghhBCiHqSYEkIIIYQQQoh6kGJKCCGEEEIIIepBiikhhBBCCCGEqAcppoQQQgghhBCiHqSYEkIIIYQQQoh6kGJKCCGEEEIIIerh/wGGRKYGykOh7QAAAABJRU5ErkJggg==\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Small directed network to understand matrix multiplication\n", "G_dir = nx.from_edgelist([\n", " (\"Alice\", \"Bob\"),\n", " (\"John\", \"Alice\"),\n", " (\"Bob\", \"John\"),\n", " (\"Amy\", \"John\"),\n", " (\"Mike\", \"John\"),\n", " (\"Rose\", \"Alice\"),\n", " (\"Mike\", \"Rose\")\n", "], create_using=nx.DiGraph())\n", "\n", "plot_network_adj(G_dir)\n", "\n" ] }, { "cell_type": "code", "execution_count": 4, "id": "54585c50", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "\n", "# Small undirected network\n", "G_undir = nx.from_edgelist([\n", " (\"Alice\", \"Bob\"),\n", " (\"John\", \"Alice\"),\n", " (\"Bob\", \"John\"),\n", " (\"Amy\", \"John\"),\n", " (\"Mike\", \"John\"),\n", " (\"Rose\", \"Alice\"),\n", " (\"Mike\", \"Rose\")\n", "], create_using=nx.Graph())\n", "\n", "\n", "plot_network_adj(G_undir)" ] }, { "cell_type": "code", "execution_count": 5, "id": "51a04468", "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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PersonIncome
0Alice10
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" ], "text/plain": [ " Person Income\n", "0 Alice 10\n", "1 Bob 5\n", "2 John 5\n", "3 Amy 1\n", "4 Mike 10\n", "5 Rose 100" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Create some metadata\n", "df = pd.DataFrame([[\"Alice\",10],\n", " [\"Bob\",5],\n", " [\"John\",5],\n", " [\"Amy\",1],\n", " [\"Mike\",10],\n", " [\"Rose\",100]], columns=[\"Person\",\"Income\"])\n", "\n", "df" ] }, { "cell_type": "markdown", "id": "7c01b51a", "metadata": {}, "source": [ "# Exercise 1\n", "\n" ] }, { "cell_type": "markdown", "id": "6f409eee", "metadata": {}, "source": [ "## 1.1 Convert the directed network to\n", "- numpy_array\n", "- scipy_sparse_array\n", "- pandas_adjacency\n", "- pandas_edgelist\n", "\n", "What are the advantages of each?\n" ] }, { "cell_type": "code", "execution_count": 6, "id": "7cabece8", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "<6x6 sparse array of type ''\n", "\twith 7 stored elements in Compressed Sparse Row format>" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "#Example to sparse arrays\n", "A = nx.to_scipy_sparse_array(G_dir, nodelist=list(G_dir.nodes()), weight=1)\n", "A" ] }, { "cell_type": "code", "execution_count": null, "id": "d74d1649", "metadata": {}, "outputs": [], "source": [ "..." ] }, { "cell_type": "markdown", "id": "362161a0", "metadata": {}, "source": [ "### 1.2 Use plt.spy() to visualize the scipy_sparse_array" ] }, { "cell_type": "code", "execution_count": 7, "id": "a8f0b56d", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.spy(A)" ] }, { "cell_type": "markdown", "id": "764792ab", "metadata": {}, "source": [ "## 1.3 Create a network object from the pandas adjacency matrix" ] }, { "cell_type": "code", "execution_count": 8, "id": "e5e2d781", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "{0: 'Alice', 1: 'Bob', 2: 'John', 3: 'Amy', 4: 'Mike', 5: 'Rose'}\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Convert to graph to sparse array\n", "A = nx.to_scipy_sparse_array(G_dir, nodelist=list(G_dir.nodes()), weight=1)\n", "\n", "# Create network\n", "G = nx.from_scipy_sparse_array(A, create_using=nx.DiGraph())\n", "# Rename nodes (they would be integers otherwise, since no labels are kept in the sparse array)\n", "d_names = {i: node for i,node in enumerate(G_dir.nodes())}\n", "print(d_names)\n", "G = nx.relabel_nodes(G, d_names) #add back labels (lost during the conversion)\n", "\n", "\n", "plot_network_adj(G)\n", "\n", "#I packed this in G = adj_to_net(A, d_names)" ] }, { "cell_type": "markdown", "id": "e5f848f3", "metadata": {}, "source": [ "# Exercise 2\n", "What is the average income of the neighbors?\n", "\n", "In python\n", "* Matrix multiplication (dot-product) is done using \"@\" (e.g. A @ B)\n", " * The number of columns of A needs to match the number of rows of B!\n", "* Element-wise multiplication is done using \"*\" (e.g. A*B multiplies the element i,j of A with the element i,j of B)\n", " * If B is an array, the dimensions need to match those of A\n", " * If B is a vector, it multiplies it row-wise (the number of rows of A need to match the number of elements of B)" ] }, { "cell_type": "code", "execution_count": 9, "id": "04be8ab4", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Original network adding the income as a color/size\n", "plot_network_adj(G, values = df[\"Income\"]/10)" ] }, { "cell_type": "code", "execution_count": 10, "id": "a510bc2a", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[110 15 26 5 105 20]\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# adjacency array\n", "A = nx.to_scipy_sparse_array(G_undir)\n", "\n", "# Calculate sum of neighbors income\n", "sum_income = ...\n", "\n", "# Divide by number of neighbors to get an average\n", "avg_income = ...\n", "\n", "print(sum_income)\n", "plot_network_adj(G_undir, values=avg_income/10)" ] }, { "cell_type": "markdown", "id": "7782ec56", "metadata": {}, "source": [ "# Exercise 3: Matrix multiplication \n", "3a. Calculate using the directed network\n", "- Number of nodes 2 steps away\n", "- Number of nodes 3 steps away\n", "- Number of unique nodes reached in 3 steps or less\n", "\n", "3b. Number of triangles and clustering\n", "- Number of triangles directed\n", "- Number of triangles undirected\n", "- Local clustering coefficient in the undirected network" ] }, { "cell_type": "markdown", "id": "ed2b490d", "metadata": {}, "source": [ "## Exercise 3a: Matrix multiplication and paths" ] }, { "cell_type": "code", "execution_count": 11, "id": "ae712801", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "One step away\n", "Two steps away\n", "Three steps away. Triangles!\n" ] }, { "data": { "image/png": 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8goKCaN26NVkFZrYfq+6qWBs6LXQLgPD2zb/LohBCCPXKz8/H29ub06dPX3adhrift6CggMLCQqsUbffcc89V19FoNHz44YfXtB+oLjZmzZqFk5PTRXOBXus9U5ebB8tgMABgb29vlf00NCmmhE2Ul5eTlJSEg4MDffr0qXHTpLCdsrIyMjMzycrKorKyksDAQIKCgmjbtm2NK4aKopCSrpBTDKarFFRaDXi6wZBuGrnqKIQQwqZuvvlmfvzxxytOaGvND+/5+fnMnTuXY8eO1RhOOG3atAab18qa7rrrLu68805iYmIsxc1513qfVl5eXq3Ws9b9YAaDgS+//JJNmzZZCtthw4Zx5513XnRsdSHFlGh0eXl5pKSkEBISQteuXeUDto3p9XpOnjxJZmYmZ8+eJSAggKCgILy8vK44qaCiKOw4ppBdDFXGS6/jYFddSPUP1aBrIS3rhRBCiPOef/55wsLCGDt2LDqdDqPRyBdffMHhw4eZPXu2VfZx7tw5UlNTKSoqwsPDg759++Lq6mqVbd99990sXboUZ2dnq2zPlt59911yc3O566678PLyIj8/n88//xxfX1/LsL/6kGJKNBpFUTh48CDp6en07du3wTrPiKszGAxkZ2eTmZlJYWEhfn5+BAUF4ePjU+cJ7EorFA7lKJwq/nOZAni3hq7+Gtq6ShElhBCiZfrHP/7BihUrcHBwsCyrrKzkrrvuYuXKlde8/X379jF79mzCwsLw9PSkoKCAw4cPM3PmTCIiIq55+59++imtW7dmzJgx17ytS3nmmWeYM2cO06ZNu+yX66+++qpV9jV27FiWLl2Km5ubZVlpaSkTJ07kyy+/rPd2pQGFaBSVlZWkpqZiMBiIj49v8K4w4mImk4lTp06RmZlJXl4eXl5edOjQgQEDBlxTJ6BWzhp6d9agKAoGEyhK9RUpueIohBBCTa40tO9C1hzm165dO8vcmeft3bvXal8oL1myhCeffJLevXtblqWmprJ48WIWLVp0zdv/5ptvMBgMfPzxxzWWazQavvnmm2ve/ogRI4Dq4ZcNzcnJiTNnztQops6cOYOTk9M1bVeKKdHgioqKSEpKwt/fn+jo6CsOHRPWZTabyc/PJyMjg5ycHNq0aUNQUBC9evWy+n1qGo0GB/mNIoQQQqWu1mWvsrLSKleLLjRp0iReeuklwsPDLUPLDh8+zHPPPWeV7efm5tK9e/cay7p3786pU6essv333nvvomXWPE+5ubmsWLHiiuvExcVZZV+33XYbzz//PKNHj7ZcxVu9ejW33377NW1XPvqIBqMoCkePHmX//v306tXLahPUiStTFIWioiJLIwlnZ2eCgoKIjIyUK4JCCCFarEtdDcrOziYxMZHExETOnDlT4wqSNURFRbFs2TK2bdtGUVER3bp149///jfe3t5W2X7Xrl355ptvuPPOO9FqtZjNZlauXEm3bt2ssv3z56yhztOKFSvw8fGpcWXtQtYc5XLzzTcTEBBAQkICu3fvxsvLi3//+9/s3r37mrYr90yJBmE0Gtm+fTtnzpxhwIABtGrVytaRmr0LW5lrtVpLK3M590IIIcSfcnJySExMZPPmzej1egoKCnjhhRfo2bOn1fZhMBhYs2YNhYWFDBo0iDNnzjB37lyCg4PJzMxkxowZF11Rqo/z3QJPnDiBu7s7xcXFdOzY0SrdAhvjPB04cIAff/yRo0ePcuONN3L99dc3SLOLXbt2cerUKXr27Imfnx8AGRkZzJ07F4PBwPvvv1/vbUsxJazu7NmzbN26FQ8PD2JiYhp0Zu6W7nwr88zMTKqqqggMDCQ4OBh3d3e5Z0kIIYT4i0ceeYSCggIGDRrE0KFD6dq1K3feeSfvvvsunp6eVtvPvHnzOHXqFN26dWP37t2Ul5fz5JNP0rVrV5KTk/niiy9YuHBhvbdfWlpa47Fer6eoqMhqkw831nk6r6SkhDVr1rBp0yZiYmK49dZbrTbf11dffcXq1asJCwvj4MGDzJgxgyNHjvDxxx9z4403Mn78+BoNQupKPuUKq8rKymLnzp1ERkbSqVMn+UDfAPR6PVlZWWRlZVlamffs2RNvb28530IIIcQVZGVl0b17d6KioggJCQEapmFScnIyy5Ytw93dnfz8fO655x66du0KQGxsLK+88so1bf/OO+9Eo6lu/vTX/J6enjz11FNERUXVe/uNdZ7Oc3d3p1evXpw4cYLffvuNiIgIqxVTa9asYc6cOQQEBHDgwAGmT59Ou3btmD17NpGRkde8fSmmhFWYTCb27NlDTk4OgwcPpm3btraO1KxcqpV5eHh4vVqZCyGEEC3Vl19+SWpqKgkJCSxevJhevXpRVVWFtQdqVVZW4u7uDoC3t3eNUTp2dnaYzVeZ8f4qtFotP/3000XLTSYTmzdv5p133mHJkiX13n5jnSdFUdi6dSvfffcdFRUV/O1vf2Pq1KnXdKXor4qLiy337YeHh6MoCu+8847VGnFJMSWuWXl5OUlJSTg6OjJy5Eir/g/Qkv21lbm3t7dVWpkLIYQQLZWjoyODBg1i0KBB6PV6UlJSKCsr45FHHqFbt2706tWLUaNGXfN+FEUhPT29xrLzj61RkFzuqpNOp2PQoEHMnz//mrbfWOdpwoQJKIrCTTfdRI8ePQDIzMyssc75K2P1ZTKZarwXWq2WrKwsq+1D7pkS1yQ3N5fU1FS6dOlCeHi4DDO7RmazmdOnT5OZmUlOTg7u7u4EBgYSEBBg9VbmQgghhKhWUVFBUlISW7ZsYebMmde8vfHjx1/1M9FHH310zfu5lPz8fN58801efvllq2+7Ic/T+WGLF9JoNHz44YdW28elXOs+pJgS9aIoCgcOHODo0aP069fPauNaW6LzrcwzMjI4efKkpZV5YGCgtDIXQgghhFAxKaZEnVVWVpKSkoLRaKR///4N0sKyJZBW5kIIIYQQTZvW1gFE01JYWMi6deto06YNQ4cOlUKqjsrKyjh48CBr164lMTERs9nMgAEDuOGGG4iIiJBCSgghhLCRzz77rElvv7nso6kdgxRTolYUReHIkSNs2bKFnj170r17d7Ra+etTG3q9niNHjrBhwwbWr19PeXk5MTEx3HTTTXTv3p22bdvKvWZCCCGEja1YsaJJb7+57KOpHYO0BBNXZTAY2LFjB2fPnmX48OFy9aQWLtXKvFu3bvj4+EgRKoQQQgjRTEgxJa7o7NmzbN26FQ8PD4YPHy4tua9AWpmLpuCGG26goKDA1jEuq7CwEE9PT1vHuCQ1ZwN155Ns9efl5cUvv/xi6xhCiMuQT3jisjIzM9m1axdRUVF06tTJ1nFU6VKtzIOCgoiNjZX5toQqFRQUsH37dlvHuKzg4GDV5lNzNlB3PslWf7GxsbaOIIS4AimmxEVMJhN//PEHubm5DB48mLZt29o6kqooikJhYSGZmZmcPHkSFxcXgoKCiIqKkoYcQgghRBN18803N+ntN5d9NLVjkGJK1FBWVkZSUhJOTk7Ex8fL1ZULnDlzhoyMDLKysiytzIcNGyb3kAkhhBDNwHXXXdekt99c9tHUjkGKKWGRm5tLamoqoaGhhIWFSYc5qovL83NBGQwGAgMDGTBgAO7u7nJ+hBBCCCFaOCmmBGazmQMHDnD8+HH69etHu3btbB3JpvR6PVlZWWRmZnLu3DkCAgKIiYnBy8tLCighhBBCCGEhPZpbuMrKSjZv3kx+fj7x8fEttpCqqqri+PHjJCQksGbNGoqKiujWrRs333wzvXr1wtvbWwop0azt3LmTUaNG8eOPP1qWjR8/nry8PAAmTpxosy6Ao0aNYuLEiUycOJF7772XL7744qqveeONN1i3bl2DZ3v22Wf517/+xdNPP33F9UaNGtXgWS7nUu+tGowaNYq5c+daHiuKwgMPPGA5l7///jvz5s0DYN26dbzxxhuNmu3837lHHnmEtLS0Rtu3EKJpkStTLVhhYSFJSUkEBQURGRnZ4uY/Ot/KPCMjg9OnT9OuXTs6derEwIEDpZW5aHESEhIYMmQImzZtuuSNuUuXLrVBqov3X1ZWxj333MPNN9+Mm5ubTTMBvPzyy+zZs4fPPvvM1lEu62rvrS1lZmaSn5+Pt7c327dvR6fTWZ4bOHAgAwcOtFm283/nduzYwYIFC1iyZInNsggh1Es+MbZAiqKQnp7OgQMHiI2Nxd/f39aRGs3lWpn37t1bmm2IFstgMJCSksKSJUt44IEHyMvLw8fHp8Y6o0ePZvXq1UD1h/Mvv/wSvV6Pt7c3zz//PHq9nnfeecdyJWvChAn07t3b6lkLCgrw8vKydM5MSUnho48+wmg0EhoaysMPP1zjudWrV1NSUsJNN93E7bffbvU8FzKZTLz//vvs3LkTjUbD7bffXuMm5/fff59du3ZhNBqZMWMGnTp1Yt26daxZswZHR0dyc3Pp3LkzzzzzjNW+3Lrcezt+/HhiYmI4dOgQRqORu+66i40bN3Ly5En8/f35z3/+Q0JCAlu2bGHmzJkAHD58mLfeeotFixZZJRvATTfdxA8//MB9993HDz/8wC233MKGDRsA+O2339i1axdTp06t8ZqTJ0/ywgsvMH36dDp37syKFStISkqisrKSXr16MWnSJKuOJIiKirL8vQZYu3Yt33zzDYqi0KtXLyZOnIhOp+OHH35g1apVmM1mPDw8mDlzJq1bt27wfEII25JiqoUxGAxs376d0tJSRowYoYpvdhvaha3Ms7KycHV1lVbmQlxgx44ddO7cGXd3d/r27UtiYiL/+Mc/LrluZmYmH330EfPnz6dt27bs378fgAULFjBhwgRCQkLIz8/n8ccf55NPPrFaUTBx4kRMJhMFBQXExcVhMBgoLS1l0aJFzJ8/H29vb5YtW8YXX3zBhAkTAPD09GTGjBlUVFTw0EMPMWjQoIuKRGtas2YNJSUlvPfee5SXl/PEE08QFhZGcHAwAP369eOBBx5g1apVrFy50jKczWQyMW3aNFq3bs3jjz/OH3/8Qc+ePa2S6UrvbWRkJI8++ig///wzH3/8Ma+++io+Pj5MnTqVnTt3EhcXx7JlyywF7OrVq61+ZWv48OE89NBDDBw4EHt7+6t+uZefn89LL73E1KlTCQkJYd26dej1ehYtWoSiKMyaNYukpCQGDBhglXyKovDjjz8SExMDwPHjx1m5ciULFizAxcWF1157jV9++YUhQ4bw0Ucf8fnnn+Pk5ER6ejo6nY7169c3aD6hXrdc/y5FReVXXc/Dw4Xv105uhESioUgx1YKcOXOGrVu34uXlxfDhw5v9ULaSkhJLAaXT6QgKCmL48OHSylyIv9i0aZNlOFVcXByffPLJZYup3bt307dvX8v8cxEREej1evbu3ctrr71mWc9kMlFSUoKHh4dVMp4fclVVVcWiRYtYsWIFERERhIaG4u3tDcDIkSNr3FcTEhKCTqfDzc2NiIgI0tPTG7SY2rVrFyNHjkSr1eLm5kbfvn35448/LMVUdHQ0AB07dmTr1q2W1wUFBeHu7g5UTyBrzXvTrvTeRkZGAhAQEIC3t7fl3Pj7+1NUVISDgwMjRoxg7dq13HLLLezcuZPJk637oc/BwYEhQ4Ywa9Yspk+ffsV1z549y7PPPsvkyZPp2rUrAKmpqRw+fJiUlBSg+j7g3Nxcq2SbOHEiZ86cwdfXlzlz5gCwZ88eevfubfkicsSIEfz666/ccMMNeHl5sWDBAnr06GFZpyHzNTV5eXlMmjSJ7777ztZRGkVtCqm6rCfUq3l/mhYWGRkZ7N69m+joaDp27GjrOA3m3LlzlgLqfCvzgQMH0qZNGxlWIcQl6PV6UlNT2b9/P1999RVQPZQuMzPzkusrinLRMpPJhIODQ6PcV+Xg4EBcXByrV68mIiKiVvkAjEYj9vb2DZLJbDZf8veLoiiXzKPVai+b05r3rtb2vf3rPi/Md+ONNzJ9+nRcXFwYPHgwjo6OVst33k033URmZibR0dHs27fvsusdPHiQsLAwNm/eTI8ePYDqczxx4kTi4uKsnmvp0qWcOnWKqVOncuzYMUsxfCk6nY5FixaxY8cO9u/fz6effsorr7zSoPnUTK/XM3bsWPz9/S87LHT06NEsX768Qb/gEKIxtKyOAy2QyWSy/HIfMmRIsyyk9Ho9R44cYcOGDWzYsIGKigpiYmIYPXo03bt3lzmhhLiC5ORkoqKi+PTTT/n444/5+OOPueGGG0hISLjk+tHR0SQlJVFUVARUD3tSFIXg4GDLN84mk4lt27Y1SF6DwcCWLVsIDw8nLCyMtLQ08vPzAfj1118tH7Kh+ioAwOnTpzl8+DDh4eFWzWIymYDqc9CuXTuio6PZsGEDZrOZ0tJSkpOTr/gBvKHV9b29FD8/PwIDA/n0008ZPXp0g+T08PDgueeeu+p6ffv25fnnnyczM9NSHMbExLBq1SrKysoAOHXq1GW/CKgPPz8/pk2bxquvvkpOTg7R0dGkpqZSWlqK2Wxm/fr19OjRg5KSEg4cOED//v25//77CQ4OJjc3t8HzqVVqairR0dEUFBSQnZ19yXVWr14thZRoFuTKVDNWVlZGUlISzs7OxMfHN6sGC1VVVWRnZ5OZmUlRURHt27enW7du+Pj4tLiuhEJci8TEREaMGFFj2fDhw1mwYMEl1+/YsSPjxo1j2rRpALRt25bnn3+eadOmsXjxYlavXk1VVRVhYWFWbUAxceJEFEXBYDDQv39/br/9duzt7ZkyZQozZ87EYDDQpUsX/v3vf1tes3btWn7++WeqqqqYMmUKrVu3tloegOeff568vDzc3d156qmn8PLyIjs7mwceeACtVsvtt99u0y+w6vreXs6gQYPQaDS0b9/emvHqxcHBgZkzZ/Lkk0/i7e3NDTfcQGFhIY899hhGoxFXV1cee+wxq+6ze/fujBs3jhdffJH58+dz2223MXXqVMxmMzExMYwaNYrS0lK+/PJL3nzzTRwcHIiKiiI2NhaNRtPg+dQoMTGR+Ph4fHx8SExMZOzYsRetc+utt7JkyRJ8fHwoKSnh3XffZdeuXTg7O3PDDTcwbtw4zpw5w7vvvsvOnTtxc3NjwoQJDBo0yAZHJMTlaZTLjTUQTdqpU6dITU0lPDyc0NDQZnFlxmg0Wr7VO9/KPCgoCD8/v2Z//5cQ1hIbG8v27dttHeOygoODycjIsHWMS1JzNmi4fC+++CKjRo2iT58+9d6Gms+dmrOB+v+f/Su9Xs+ECRP46KOPOHr0KG+//TbvvvvuRfdMXVhMPfPMM3Ts2JG77rqLwsJCtmzZwtixY3n++ecJCgri//7v/8jIyOD5559n8eLFeHp6XjVHdnY2FRUVdcpeWVlptaGsE8Z+X+t1l39xi1X2CdY9BlvtQ43HEBISctnn5BNoM2M2mzlw4ADHjx9nwIABlhuzm6rzrcwzMjLIycmhbdu20spcCCEayfm5+GJjY20dRTQRycnJ9OrVCwcHB7p27Yper+fkyZOXvWexoKCAQ4cO8eKLL2Jvb4+Liwtjx46lqKiIQ4cO8cILL6DT6QgLCyMiIoK9e/cydOjQq+aoz7Qv6enpV/zQ3FCsuc/GOIaG3kdTOwYpppoRvV5PSkoKZrOZ+Pj4Jtv2+3KtzKOjo5vsMQkhRFPk5+fH8uXLbR1DNCGJiYns2rWL1NRUAMrLy0lISCA+Pv6S6xcUFNC2bduLiq38/HzKysq49dZbLcsURbHpfYhCXIoUU81EQUEBSUlJBAcHExkZ2eTuG1IUhTNnzpCZmUlmZiZ2dnYEBQW1mLmwhBBCiKauvLycgwcP8t5771luL8jMzGTp0qWXLaY8PT0pLi7GYDDUKKg8PDxo1aqVpdmIEGolxVQTpygKR44c4eDBg/Tu3VsVNwjXxflW5pmZmRiNRoKCgoiLi5NW5kIIIUQTk5ycTNeuXWnXrp1lmZeXFyUlJej1+ku+xtvbm06dOvHRRx9x9913c/bsWZKTkxkzZgwdO3Zk6dKl/POf/0Sr1ZKWloanp6dl7jYh1ECKqSbMYDCwbds2ysrKmtQVnIqKCrKyssjMzKSsrIyAgABiY2Px9PSUAkoIIYRoojZv3nxRF0+NRkNMTAwrV6687OvOdwP9v//7P5ydnbnxxhsty5cuXcoDDzyAwWAgNDSUKVOmNOgxWIuHh0utJuT18HBphDSiIUkx1USdOXOGrVu34u3tTd++fdHpdLaOdEVVVVWcPHmSrKwsSyvziIgIaWUuhBBCNBP/+c9/Lrn86aefBmDq1KmWZee7+kH11amZM2de9Lq2bdtaXtvUfL928kXLbNXgQjQsKaaaoIyMDHbv3k337t3p0KGDreNc1qVamXfq1ImBAwdKK3PR4t1www0UFBQ0+n6zs7NVPUSmovQ0gT7q/Ka2SnFR9bnT6/WqzSfZ6k++cBRC3eQTbRNiMpnYtWsXp0+fZsiQIbi7u9s60kXMZjN5eXlkZmaSk5ODh4eHtDIX4hIKCgpsMneM2ufUCfRxIfW9LraOcUn9Hi1S9blT83sr2epP2tILoW5STDURZWVlbN26FVdXV0aOHHnZ+RrO/nGIE+98StHvOzCUnAVFQaPV4ujrjfd1cQRPvhvnAF+rZjvfyjwjI4OTJ0/i5uZGYGCgtDIXQgghhBDNmhRTTUBOTg7btm0jPDyc0NDQSzZpKEvPYOddj1ORkY2hsOSi5yvzCji77zCZH67EIy6W7u+/jH3bNvXOJK3MhRBCCCFESyfFlIqZzWb279/PiRMnGDhwIF5eXpdcL+ujlRyc/voli6gaTCYMBcWc/uk3ErqPJvabd3HvXbfJ76SVuRBCCCGEENWkmFIpvV5PcnIyACNHjsTJyemS62Uu/5qD0+ZiLDlb620rRhOVp/LZ9rcH6LP6A9rERFieM5vNpKam0rp1a7p16wZc3Mo8MDBQWpkLIYQQQogWT4opFcrPzyc5OZkOHToQERFx2U4+59KOcWjGvDoVUheqKihm+98nM2TfGuxcXVAUhdTUVE6ePIm9vT2Ojo5kZWVRXFxM+/btiYyMpF27dtJZSAghhBBCCEA+FauIoiikpaWxdetWYmNjiYqKumLhsnPc4xiKSq5pn5Wnizj41KsoikJKSgonT57EbDZTWVlJZmYmnTt35uabb6Zv3774+vpKISVEA9u5cyejRo3ixx9/tCwbP348eXl5AEycONEmLdWt4dixYzzyyCPcf//9zJo1i7KyMltHqqGwVMeUD63boMda1Hzu1JwN1J1PzdmEELUjn4xVwmAwkJSURGZmJvHx8fj5+V1x/ZJte9Bn53KT8TBnFNNl11tgyuVbc9Fln1eqqsj97leSNyaQmZmJ2Wy2PNeqVSsCAwNlTighGlFCQgJDhgxh06ZNl3x+6dKll71/Uu3mzJnD5MmTWbZsGeHh4Xz++ee2jmSxarsbs771oqJKnf8sqvncqTkbqDufmrMJIWpHnf9qtDAlJSWsW7cOR0dHhg8fjqur61Vfc/ytj6/ecKKWjGUVeBw+SUxMDFFRUQQFBdG2bVsURbHK9oUQtWMwGEhJSWHSpElkZWVZrkZdaPTo0ZafExISeOihh7j33nt5+umnKS0tJT8/nxdeeIGHHnqIhx56iG3btjXmIVxWXl4eiqIQHh4OwLBhw0hJSbFxqj+NiT3HwvEXn281UPO5U3M2UHc+NWcTQtSeXHKwsRMnTvDHH3/Qo0ePOs3AXpyyu8bjX8wl/GAuQQu01dgxSdsOf031JLkHFT1PGjMpwUSwxoGntH44abTcajzC7Zq27Cot5+yTU3ju9Vd56KGHrHh0Qoi62LFjB507d8bd3Z2+ffuSmJjIP/7xj0uum5mZyUcffcT8+fNp27Yt+/fvB2DBggVMmDCBkJAQ8vPzefzxx/nkk09sPkS3sLCwxkTj7u7uFBYW2i5QE6Lmc6fmbKDufGrOJoSoPSmmbMRkMrFr1y7y8/MZOnQobdrUbc4nU2m55ec9SjnfmIuZpwukjcaO9eYzvGTK4V1ddXFWqBiZowvAHg1PmDLZqpxjuKY1BhRaa3TM0wWR7evFI48/zr333nvZzoFCiIa1adMmBg4cCEBcXByffPLJZYup3bt307dvX9q2bQtAREQEer2evXv38tprr1nWM5lMlJSU4OHh0fAHcBUXFnQajQaj0WjDNE2Lms+dmrOBuvOpOZsQonakmLKBc+fOkZSUhKurK/Hx8djb29fp9Yqi1BiCt0MpY5CmFW001W9nvLYN75vzyaP6l3I/rRtOmupf2MEaR0r485d1P031BLudcaSyspKysjIppoSwAb1eT2pqKvv37+err74CoKCggMzMzEuuf6lhuCaTCQcHB5YuXdqgWevDw8ODkpISy+Pi4mJVFHhNgZrPnZqzgbrzqTmbEKL2pJhqZDk5OWzbto2uXbvSpUuXOs/TtGvXLuzs7NBoNZYPU65o+etWFMBE9fMXvsl/Xc/hf7fN2bu5VL9O7pMSwiaSk5OJiorixRdftCx7++23SUhIuOT60dHRfPvtt9xxxx14eHhw/PhxvL29CQ4O5rvvvuPWW2/FZDKxc+dOevfu3ViHcVm+vr6WjqVhYWFs2LCBmJgYW8dqEtR87tScDdSdT83Z1CAvL49Jkybx3Xff2TqKat1y/bsUFZVfdT0PDxe+Xzu5ERK1TFJMNRKz2cy+ffvIzMxk4MCB9e7G9dNPP3H48GHua9uaA6dzaIOOWI0r75pP8zfFnTYaO9aZz9AaLX7U/opXm97R8MfqemUSQly7xMRERowYUWPZ8OHDWbBgwSXX79ixI+PGjWPatGkAtG3blueff55p06axePFiVq9eTVVVFWFhYaoopgBmzJjBwoULKS8vJyAggKlTp9o6ksWa3a6kHnUG4MVvvBgQWsHIKPW0qVbzuVNzNlB3PjVns6bx48dbpnRwdHSkf//+PProozg4ONg4WdNWm0KqLuuJ+pFiqhFUVFSQnJyMVqslPj7+mobRPfzww4wbN477T+1CbyrhEa0PPbWujKEtz5hOogCt0TFT54+2lle9dG4utBs1BJa9Uu9cQohrM3PmzIuWRUREsGzZshrLVq/+80uP66+/nuuvv77G861ateKFF15okIzXqnPnzrz11lu2jnFJo3qUMaqHeoqnv1LzuVNzNlB3PjVns7YFCxYQGhpKUVERL730EmvWrGHMmDG2jiXENZNiqoHl5+eTnJxMx44d6dat2zV31Grbti1r1qyh9NBRtg4dh/F/7dFv0rpzk9b9ovUf1/le9vFPdqEA6FydyfFvy+7du8nOzubEiROYTCa6dOki47eFEEIIYTUeHh5ERERYrlTt3buXJUuWkJubS9euXXn00Ufx9vYGqm89+Oijj9iwYQMajYZJkyYxYMAAW8YX4iIyz1QDURSFQ4cOkZSURGxsLJGRkVZrTVxUVMT2U5kY23tBHe+5+iudqzPBE/9Jdl4uaWlppKWlcezYMTIyMqSrkBBCCCGsKj8/n127djFo0CBKS0t56aWXuPfee1mxYgVhYWE1upEaDAa8vLxYsmQJjz76KAsWLKC8XIasCXWRK1MNoKqqim3btlFRUcGIESNqNQlvbZw7d469e/eSn59PREQEfj9+wO+9b6Uqv6je23QK8CXk2ckEGY388ssvVFVVAVQ3ubjGQk0IIYQQArDcD2Y0GvH19eXs2bNkZWURFhZGbGwsAOPGjeO7774jPz8fAAcHB2666SYAevXqhY+PD4cOHapVo47s7GwqKirqlLGyspL09PQ6vUZN278Sa+63OZynuu4jJCTkss9JMWVlJSUlbN26FV9fX/r164dOp7vmbVZWVnLgwAEyMjLo0qULvXv3xs6u+q3r8fHr7Lp7Koaikjpv19GvHX1+WobWzg4nOzsGDx7Mxo0bURQFf39/UlNTcXJyIjw8nPbt20txJYQQQoh6eeONNwgNDUVRFA4ePMiLL77I3//+dzw9PS3r6HQ62rZtS2FhoWUOvQu1bt2a0tLSWu3P39+/zhnT09Ov+KH5WjX09q/EmvttDufJmvuQYsqKjh8/zp49e+jRowfBwcHXvD2j0ciRI0dIS0sjKCiIG2644aLmFd4j44j5amF1QVVQjGIyXXW7OhcnHNv70HfNclw6BFiWe3h40KtXLw4cOGDp/pWdnc3Bgwf5448/CAsLIzg42FLICSGEEELUhUajoVu3bgQFBdG2bVv27t1rec5oNFJcXIynpydms/mi154+fZp27do1Zlwhrko+FVuB0Whk165dFBQUMHToUNq0aXNN2zObzZw4cYL9+/fj6enJiBEjaNWq1WXX9xrajyF7VrN38n8oTEjBeOYcisFw0Xo6V2d0Ls4E3ns7oS88gvYSkwV36NCB4OBgy1WowMBAAgICyM/PJy0tjf3799O5c2dCQkJwdHS8puMUQgghRMtiMBjYsWMHmZmZREdHs2zZMlJTU4mOjubrr7+mU6dOeHt7k5eXh8lkIjMzEz8/P3799Vc0Gg2hoaG2PgQhapBi6hqdO3eOrVu30qpVK+Lj47G/RIFSW4qikJuby549e7C3t6d///61no/KwcOdXl8u5OTBNPK//gXDtn2cO3QUxWhC6+RIm57daDd6GH63XY/O+cqt2f86nE+j0dCuXTvatWvHmTNnOHz4MGvWrCEoKIjQ0FDc3NzqfcxCtFSFhYVWuYJdV3q93ib7ra0qWtHv0frfB9qQKkrzCfRxsXWMy6pSXFT73qr5752aswFWa15la48//jhQfTwdO3Zk+vTp+Pj48Nxzz7FkyRJOnTpFt27dLHPnnffaa6+RnZ1Nhw4deP75561y+4QQ1iTF1DXIzs5m+/btdOvWjZCQkGu6p6ioqIg//vgDvV5PdHR0ve5ROnPmDEn79tCqTxg3zHy03lmupE2bNvTu3ZvIyEiOHDnC+vXradeuHeHh4dJGXYg68PT0ZPv27Y2+3+DgYDIyMhp9v7Wl5nyBPi6kvtfF1jEuq9+jRao9d2p+X9WcDbA0Z2jKPv7448s+FxUVxTvvvHPRch8fH3744YeGjNXkeXi41GpCXg8P9X4J1BxIMVUPZrOZvXv3kpWVRVxcXI2bJ+vqrx36OnbsWK9voUpLS/ntt99QFAXDJYb4WZuzszPR0dF07dqV48ePs3XrVlxdXQkLC8PPz0+aVQghhBBCNKDv106+aJktm1y0VFJM1VFFRQXJycnodDpGjhxZ7/uGrtShr67KysrYsGGDpYjS6/UoitIoBY29vT2hoaGEhISQlZXFvn372LNnD6GhoQQHB8vleCGEEEII0WxJMVUHp0+fJiUlhU6dOtG1a9d6XUGqTYe+uiouLsZkMqHRaCxFVFlZWaPey6TVagkODiYoKIjTp0+TlpbGvn376NKlC507d8bBwaHRsgghhBBCCNEYpJiqBUVROHToEEeOHKFPnz74+vrWeRt17dBXFwEBAfj5+bF69Wo8PDwoKirCaDRaZdt1pdFo8PHxwcfHh5KSEtLS0vj555/p0KEDXbp0sdoExkIIIYQQQtiaFFNXUVVVRWpqKnq9nvj4eFxc6nYT37V06KuLc+fOodVqGThwoGruV3J3d6dv376Ul5dz+PBh1q1bh6+vL2FhYZecjE+IlmzUqFEEBFTP+2Y0GrnuuusYO3bsFV/zxhtvEB0dzciRIxsj4jU7duwYb775JuXl5QQFBTF16lTVfMGi5mwAhaU6Zq705p17c20d5SJqP3dqzqfmbEKI2mke/TYbSHFxMevWrcPFxYVhw4bVuZAqKipi06ZN7N69m8jISIYNG9YghRRUdxb09/dXTSF1IRcXF3r06MGNN96Iu7s7W7ZsYdOmTeTm5qIoiq3jCaEaS5cuZenSpSxatIhvv/2Wc+fO2TqSVc2ZM4fJkyezbNkywsPD+fzzz20dyULN2VZtd2PWt15UVKnzn2w1nztQdz41ZxNC1I46fzPbmKIoHDt2jMTERKKiooiJialTI4Vz586RlJTEli1bCAoK4vrrr2/wQud8MaVmDg4OhIeHc+ONN9KhQwf++OMPfv31V06cOHHJmc6FaKkKCgrw8vLC2dkZgJSUFB566CEmTpzI66+/TkVFhWXdlJQUHnvsMe655x5Wrlxpq8hXlZeXh6IohIeHAzBs2DBSUlJsnKqamrMBjIk9x8LxebaOcUlqP3dqzqfmbEKI2pNhfn9hNBrZuXMnRUVFDBs2jNatW9f6tdbs0FcX5eXllJWVNdhVL2vT6XR06NCB4OBgcnNzSUtLY+/evYSGhtKpU6drmvhYiKZs4sSJmEwmCgoKiIuLw2AwUFpayqJFi5g/fz7e3t4sW7aML774ggkTJgDV81XNmDGDiooKHnroIQYNGoSPj4+Nj+RihYWFuLu7Wx67u7tTWFhou0AXUHM2tVP7uVNzPjVnE0LUnhRTFygtLWXr1q20adOGESNG1PpDfUN06KuL7Oxs2rdv3+RmSddoNPj5+eHn50dRURFpaWkcPHiQjh070qVLlzoPqxSiqVu6dClQfa/mokWLWLFiBREREYSGhuLt7Q3AyJEjeeONNyyvCQkJQafT4ebmRkREBOnp6aospoAav6M0Go3NGuVcipqzqZ3az52a86k5mxCidqSY+p+TJ0+yY8cOIiIi6Ny5c62G5JnNZjIyMti3b5/VO/TVRXZ2Nl26dGn0/VqTh4cH/fv3p6ysjMOHD/Prr7/Svn17wsLCaNOmja3jCdGoHBwciIuLY/Xq1URERFz0/OXuNTQajaq9suvh4UFJSYnlcXFxMR4eHrYLdAE1Z1M7tZ87NedTczYhRO01rUsZDcBsNrN79252797NoEGDCAkJuWohpSgKp06dYt26dRw/fpz+/fszYMAAmxRSlZWVFBcXq/ab6LpydXWlZ8+ejBo1Cjc3NxISEkhMTLSMLReiJTAYDGzZsoXw8HDCwsJIS0sjPz8fgF9//ZUePXpY1q2srASq58E7fPiw5f4LtfH19UVRFNLS0gDYsGEDMTExNk5VTc3Z1E7t507N+dScTQhRey36ylRFRQVJSUnY2dkxcuRIHB0dr/qaoqIi/vjjD/R6PdHR0bRv396mHfROnTpFu3btGuXerMbk6OhIt27dCAsLIyMjg507d2JnZ0dYWBgBAQFNbkijELUxceJEFEXBYDDQv39/br/9duzt7ZkyZQozZ87EYDDQpUsX/v3vf1tes3btWn7++WeqqqqYMmVKne7zbGwzZsxg4cKFlJeXExAQwNSpU20dyULN2dbsdiX1aHUzkhe/8WJAaAUjo8psnOpPaj53oO58as4mhKgdjdJCv+4/ffo0ycnJhISE0LVr16sWROfOnWPv3r3k5+cTERFBx44dVfGB/vfff8ff358OHTrYOkqDOn818NChQ1RUVNClSxc6duyo2iFNQlxNbGws27dvb/T9BgcHk5GR0ej7rS015wv0cSH1PfUOqe73aBEZGVm2jnFJan5f1ZwNbPe7oiVKT08nJCSkyW6/ueyjqR1D87qcUQuKonDo0CGOHDlC3759rzo8zlYd+mrDaDRy+vRpYmNjbR2lwWk0Gtq3b0/79u0pLCy0NKvo1KkTISEhlhbSQgghhBBXc8v171JUVH7V9Tw8XPh+7eRGSCSaKttfWmlEVVVVbNmyhZycHOLj469YSBmNRg4ePMiaNWswm83ccMMNREREqKaQguo5Ktq2bVur4YnNiaenJwMGDGDEiBFUVVWxdu1atm3bxtmzZ20dTQghhBB1MH78eA4fPtzo+61NIVWX9UTLpZ7KoIEVFRWRlJRE+/btiY6OvuwkvGrp0Fcb51uit1Rubm706tWLyMhI0tPT2bhxI56enoSFheHl5WXTe9mEEEKIlmr69Ons3bsXs9nMl19+KV15RbPW7IspRVE4duwY+/btIyYmhsDAwMuul5uby549e7C3t6d///6qngTXbDaTk5NzybbJLY2joyMRERGEhYVx4sQJtm3bhoODA2FhYfj7+6vi3jYhhBCipXj11VcBGDVqlI2TCNHwmnUxZTQa2bFjB8XFxQwbNuyyXa7U1qGvNgoKCnBxccHV1dXWUVTDzs6OkJAQOnXqRE5ODmlpaezdu5fQ0FA6dOigqiGaQgghREuRn5/PwoULOXjwIL6+vkyaNImoqCjL88nJySxcuJDc3FxGjhzJpEmTAHjjjTdQFIWCggLL1A/PPvusfPYRqtJsP12WlpaydetW3N3diY+Pv+QHabV26KuN7Oxs/P39bR1DlbRaLQEBAfj7+1NQUEBaWhr79++nc+fOhISE4OTkZOuIQgghRIvx2muv0bNnT5577jn27NnD7Nmz+eCDDyy3UZw6dYoXXngBs9nMww8/zIgRI+jSpbpzZkZGBv/+978JCAhg5syZ/PLLL/z973+/6j6zs7OpqKiwSv709HSrbKeystJq22rO+1DjMVyp81+zLKaysrLYuXMnkZGRdOrU6aKrTGru0FcbiqKQnZ1NXFycraOomkajwdvbG29vb86ePcvhw4dZs2YNQUFBhIaGqvZeOCGEEKK5qKqq4vjx47z22mvodDr69OlDWFgYqampjBgxAoBbb70Vb29vADp37szJkyctxdSQIUMIDQ0FoGfPnpw8ebJW+7XmF87WaqHd1Fp+22ofTe0Ymk4FUQtms5k9e/aQnZ3NoEGD8PDwqPG80WjkyJEjpKWlERgYyA033NAkr1KUlJSg0Wjkhs46aN26NbGxsURGRnLkyBF+++03vLy8CA8Px9PT09bxRAtUWFhIcHBwo++3ovQ0gT4ujb7f2qpSXGxyXmqjilb0e7TI1jEuS6+vUu250+v1kq2emsqImcspLCykbdu2NRp/eXl5UVhYeMn1HR0dMRqNdX5OCFtpNsVUeXk5SUlJODg4EB8fX6NdeFPq0Fcb54f4qf2+LjVycnIiKiqK8PBwTpw4QXJyMs7OzoSFhTWJe+VE8+Hp6WmTiTibxsSz6pxAVe2Tu6o5n2Srv6Y6l+T5osfT05Pi4mJMJpOloCooKCAyMtKW8YSwmqb9dcf/5OXlsX79evz8/IiLi7MUUoqicOrUKdatW8fx48fp378/AwYMaNKFFEBOTo7cL3WN7O3t6dKlC6NGjSIkJIQDBw7wyy+/cPToUUwmk63jCSGEEE3S6dOnMRqNbNmyBU9PT7y9venQoQNffPEFer2e1NRU0tLS6NOnj62jCmEVTfrKlKIoHDx4kPT0dPr27VtjEt6m2KGvNs6dO0dFRYUMTbMSrVZLUFAQgYGB5Ofnc+jQIfbv309ISAidO3ducRMiCyGEENfizTffZO/evfj5+fHUU08B1fNOLVy4kHHjxuHn58fzzz9v8y+2PTxcajUhr4eHeodFC3VossVUZWUlqampGAwG4uPjcXGp/svelDv01cb5iXqb0zGpgUajoV27drRr144zZ86QlpZWo1mFm5ubrSMKIYQQqjdnzpyLlnl7e/PSSy9dcv2PP/64xuMXX3zR8vPUqVNrPHf77bdbIWG179dOvmhZYzQ+EM1Pkymmzp49S6tWrdBoNBQVFZGUlIS/vz/R0dFotdom36GvtnJycggLC7N1jGatTZs29OnTh/Lyco4cOcL69evx8fEhLCzsoqYmQgghhBCi5WoS1caZM2dYu3YtPXv2RKPRsH//fnr16kVAQABGo5G0tLQm36GvNvR6PSUlJTWGM4qG4+LiQvfu3enWrRvHjh1j69atuLm5ERYWhq+vb7MYNirU5dlnnyUrKwtfX1/mzp172fVGjRrFmjVrGjGZ9RSW6pi50pt37s21dZQajh07xptvvkl5eTlBQUFMnTpVVRODqjmfmrOBuvOpOZsQonZsMlbMXF6K4cBW9In/Rb/pC/SbvqDy928wZhxAMRouWn/fvn0A7Nq1i/379zN8+HDat2/P8ePHWbNmDcXFxYwYMYJevXo120IKqq9K+fj41GgvKhqevb09YWFh3HjjjXTs2JG9e/eydu1ajh8/Ls0qhFW9/PLLPPnkk7aO0WBWbXdj1rdeVFSpb5jynDlzmDx5MsuWLSM8PJzPP//c1pFqUHM+NWcDdedTczYhRO006r9o5rMFVCb/QFXyKkxZB6GiFCrLobIc5VwJxsOpVCb+l6o9CSiGKgBKS0s5deqUZRuVlZUUFBQ0uw59tSFd/GxLq9USHBzMyJEj6dGjB5mZmfz8888cOnSIqqoqW8cTzYzJZGLx4sVMnDiRBx54gF9//bXG8++//z4PPfQQEydO5NixYwCsW7eOJ554ghkzZnDvvffy0ksvYTabbRH/ksbEnmPh+Dxbx7hIXl4eiqIQHh4OwLBhw0hJSbFxqj+pOZ+as4G686k5mxCi9hqtmDLmZVC1/ReUM/lgqLz0SmYTGPSYTx2lKul7FH0Z27Ztu+jDwK5du4iMjGTYsGF4eXk1QnrbMxgMnD59Gj8/P1tHafE0Gg2+vr4MGTKEuLg4SkpK+Pnnn9m9ezfl5VfvDCREbaxZs4aSkhLee+895s+fz8qVK2vMhdOvXz8WL17MTTfdxMqVKy3LTSYT06ZN44MPPiA/P58//vjDFvGblMLCQtzd3S2P3d3dLzuhqC2oOZ+as4G686k5mxCi9hqlmDIV5WLcv/nyRdRFFJSKUqpSV4PRcNH4YUVR8PLyalH3rOTl5eHp6YmDg4Oto4gLtG3bln79+jFy5EgAfv31V1JSUigpKbFtMNHk7dq1i2HDhqHVanFzc6Nv3741CqPo6GgAOnbsWOMDWFBQEO7u7pYrqQUFBY2evSm6sEOqRqOxTDiqFmrOp+ZsoO58as4mhKidBi+mFLMZw56NdSikLnhtxTkGtrOnrKwMAJ1Oh729Pfb29pSWllo7qqplZ2fLED8Vc3V1pUePHtx44420bt2azZs3k5CQYBnGIURtmc3mS35RpCjKJf8uabXay/4dkykUasfDw6PGFyDFxcWq6typ5nxqzgbqzqfmbEKI2mvQf2kNBgPt/XwZ8/QrlmWJfxyi14MzAZj1yfesWL/1CltQUIpOcfutY7jjjjv4+9//zq233srf/va3FjO8D6o/XJ06dYr27dvbOoq4CgcHB7p27cqNN95IUFAQu3btYt26dWRkZKjq3hWhPuebmRw/fpx27doRHR3Nhg0bMJvNlJaWkpycbLkaJazL19cXRVFIS0sDYMOGDcTExNg41Z/UnE/N2UDd+dScTQhRew3aGv3bb78lulMAOw8e4VBmDuFBNYuBmf+65eobMRkwZx9B2yGyYUI2Afn5+bi5uVkmJhbqp9Pp6NixIx06dCA3N5dDhw6xd+9eunTpQqdOnbC3t7d1RKEyzz//PHl5ebi7u/PUU0/h5eVFdnY2DzzwAFqtlttvv52OHTvaOuY1WbPbldSjzgC8+I0XA0IrGBlVZuNU1WbMmMHChQspLy8nICDgoslCbU3N+dScDdSdT83ZhBC1o1EacAzS0MGD+XuvEPYfPYHJZObtR/6PxD8O8fi7n7PjvVlMnLecbh38efz260k9dIypi7+gXF+Jg50dr0z8B0N7dOVQZg5Pvr+SYrMdJpOJRx55hAkTJjRUZFXauXMnzs7OdO3a1dZRxDUoKioiLS2NvLw8OnXqRJcuXXB2drZ1LGEjsbGxbN++vdH3G+jjQup7XRp9v7XV79EiMjKybB3jkoKDg2s0AVEbNeeTbPVnq98VLVF6ejohISFNdvvNZR9N7RgabJjfgQMHSEpJ4bbBfbg7fgArNiRRePbcJdc1GI3c+eI7PDPuZna8N4t3HvsXTy75kiqDkXEvLWH2xDvZsWMHCQkJzJs3j+Tk5IaKrTqKosj9Us2Eh4cH/fv3Jz4+HqPRyNq1a0lNTeXMmTO2jiaEEEIIIeqhwYqpxYsXM/r6kXi2cSM2rCMdfLxY/nPiJdfddzwbrU7LqL7V9wPEdOnA9iUvcjTnNMdOnWbS3Pfo0aMHQ4YMoaKigl27djVUbNUpLi7Gzs6uRcyj1VK4ubkRExPDqFGjcHNzIyEhgc2bN3P69GlpViGEEEII0YQ0yD1TZWVlfPrppzg6OBA2LgUUhdLyChb/+BsxocEXh9Bp+Wvvqv0nslEUhTauzqQsew2nof8EqluEt2nTpiFiq1J2djbt27dvUW3gWwpHR0e6detGWFgYJ06cYMeOHdjb2xMWFoa/v790YhNCCCGEULkGKaZWrFiBp6cnaWmHMG7+GqoqKDlXTti/ppF/5uKhfqEBvmg0Gjbs3M+ImAh2HclgzHNvkv7Z6zg5OPDl1r3cM/SfZGVlERMTw/fff8/AgQMbIrrqZGdn07t3b1vHEA1Ip9PRuXNnOnXqRE5ODmlpaezZs4fQ0FA6duyInV2D9okRQgghRBN0y/XvUlRUftX1PDxc+H7t5EZI1DI1yKe0xYsX88QTT2BnZ4/iH4rpxB7c3VyYPGYEb3+77qL1HR3s+fL5yTy15EueWbYSezsdXzw/GQd7O75+6XGe/mQN87+MxmAwMHv27BZTSJWWllJVVSXzTrQQGo0Gf39//P39KSgoIC0tjQMHDliaVTg5Odk6ohBCCFFrer2esWPH4u/vz6JFi2wdp9mpTSFVl/VE/TRIMXXhPU12wRGYTh4CQyX/GX8L/xl/i+W5pU/+2ZWvV2gHfps//aJtde/WjU2bn22ImKonQ/xaLi8vL7y8vCgtLeXw4cOsWbOGwMBAQkNDad26ta3jCSGEEFeVmppKdHQ0aWlp0kxLNFsNPn5I4+iMzq8zpuwjYDLU7cX2jth1698wwZqA7OxsunXrZusYwoZatWpFr169iIiIID09nY0bN+Lp6Ul4eHiLmri6OSosLCQ4+OJ7SBtaFa3o92hRo++3tvT6Kpucl9qoKD1NoI965/urUlxUe+70er1kq6emfP9sYmIi8fHx+Pj4kJiYyNixY8nLy+PBBx/ktttuY+3atSiKwiOPPMKePXtISEhAq9UydepUevTowcKFC2nVqpVlSpyqqiruuusu3nnnHdq1a2fjoxOiWqPcjGEX3g9Ffw5z4alaF1RGjY7iNsEEtvVt4HTqVFFRwdmzZ+WXhQDAycmJyMhIwsPDOX78OCkpKTg5OREWFkb79u2v+I9tZaWJQ+mlGIwKAX7O+LaT4YJq4OnpaZO5Y9Q+p46a8zWNObrUee7U/L6qORtUzzPVFOn1eg4cOMDTTz+Nl5cXb7/9NmPHjgXAYDDQqlUr3n//fdavX8/s2bO59957ef/991m3bh0ffvghCxcuZNiwYbzxxhvce++9aDQaUlJS6NSpk3w2EqrSKMWURqPBvkc8xkPJmE4dBUMVcJkW0Fo7sLNDF9qPPbsPUdkIE3epUU5ODr6+vuh0OltHESpiZ2dHly5d6Ny5M9nZ2Rw6dMjSrKJDhw41mlXo9Sbe/uAoCUkFmEwKiqKg02lp7+PEU1O6ENpZ2u0LIYRoGMnJyfTq1QsHBwe6du2KXq/n5MmT2Nvb4+DgwK233gpATEwMjo6O3H777UB18bhixQoAoqKiANi/fz+RkZH89ttvDB8+vFb7z87OpqKiok6ZKysrSU9Pr9Nr1LT9K7HmfpvDearrPq5UizRamzCNRoN91/7YdeqOMWMfpux0UBT+LKo0aBwc0XXsjs6vExqtjiFtfNi4cSP29vaqvgTfELKzs+nQoYOtYwiV0mq1BAYGEhAQQEFBAfv27aNPnz5ERESwfv16wI5JT+8iI6scg/HCLy5MnDlr4PGZe3jl2Qiiu7nb6AiEEEI0Z4mJiezatYvU1FQAysvLSUhIID4+vsZ6Dg4ONeZYtLe3x2g0AtWfHYcMGcLGjRsJDg5m7969PPnkk7Xaf33uz0pv4C/wG3r7V2LN/TaH82TNfTR6z2WNowv2oX2wC4lFKT8LhkrQatE4OKNxdquxrpubG4MHDyYhIQE7O7sWc+OiwWCgoKCA/v1b7v1ionY0Gg3e3t6cPn2aXr16sX37dt5//33yz/UiI8v4l0LqT2fOGpk59yDffNAPnU4anAghhLCe8vJyDh48yHvvvWdpopWZmcnSpUsvKqauZvjw4UybNo3g4GB69eqFq6trQ0QWot5sNoGNRqtF4+Z+1fXatGlDXFwcmzdvxs7ODh8fn4YPZ2OnTp3Cy8sLe3t7W0cRTcTixYv55z//SVhYGLt37+ZURQ8KcneScWgpDs4+6Msy0eqcCQgZR87xb6g4l4Vv4BC2bnuXTz6YQbt27Xj55ZcB+Oyzz/jmm2/47rvvbHxUQgghmqLk5GS6du1a494mLy8vSkpK0Ov1ddpWhw4d8PT05NNPP+Wpp56ydlQhrlmTaBHj4eHBgAEDSE5OpqCgwNZxGpy0DxV1ceDAAZKSkvjHP/7B+PHj+fzzLzAaqifHLj1ziICQcfQY/AE6OxdOpq+gW59X6TH4fbLSv+OntQeYMmUKH374oWVYxfvvv8+kSZNseUhCCCGasM2bN1/UOEOj0RATE8PKlSvrvL1hw4ZhZ2dHr169rBVRCKux2ZWpuvL29qZPnz78/vvvDBkyBHd3d1tHahAmk4nc3Fx69Ohh6yiiiVi8eDE33XQTnp6eeHp6EhAYTOaRVdg7h+Pk7Idbm+ruY04u7bGzd0OrtUfr4I7OzoXS0hJ69BhMx44dWb16NaGhoeTk5HDdddfZ+Kharp07d/Lss88yefJkbr75ZlvHsapjx47x5ptvUl5eTlBQEFOnTlXNkB01ZwMoLNUxc6U379yba+soF1H7uVNzPjVnuxb/+c9/Lrn86aefBmDq1KmWZT4+PjVGQvz1MVR3BhwyZIg05foLDw+XWk3I6+Gh3ikdmoMmU0wB+Pn5ERMTQ2JiIsOGDaNVq+bXjez06dO0bt0aZ2dnW0cRTUBZWRmffvopjo6OloYlZ8+epVz/DSHR09Hqag4V1Wh0F/ysIbRj9T/aU6ZMYfny5YSGhvLAAw/IRNE2lJCQwJAhQ9i0aVOzK6bmzJnDk08+SXh4OP/973/5/PPPmThxoq1jAerOtmq7G7/td6WiSp2DSdR87kDd+dScTS0URWH9+vU899xzto6iOt+vnXzRMls2uWip1Pmb+QoCAwOJjIwkISGBsrIyW8exOhniJ+pixYoVeHp6kpOTw4kTJzhx4gTHjh0Dsx5DVcmVX6yBgX2rJ/69/fbb2bVrFytXrrRMjigan8FgICUlhUmTJpGVlUVeXh4A48ePZ+HChTz00ENMnDiRTZs28Z///If77ruPmTNnYjKZ+O2335g1a5ZlW4cPH+bhhx+21aFcJC8vD0VRCA8PB6qH7aSkpNg4VTU1ZwMYE3uOhePzbB3jktR+7tScT83Z1GT37t04OjrSpYt653gTLVuTK6YAOnXqRJcuXUhMTKzzjYxqpigKOTk5UkyJWlu8eDFPPPFEjaEP7u7uTJ7yMKczLz8u3c3VDicHLc5O1a9zcHDg9ttvZ8CAAXh5eTV4bnFpO3bsoHPnzri7u9O3b18SExMtz0VGRrJ48WJuvfVWPv74YyZPnswHH3xAWVkZO3fuJC4ujkOHDlnuK129erWqrmwVFhbWGJ7t7u5OYWGh7QJdQM3Z1E7t507N+dScTU169uzJ+++/b+sYQlxWkyymAMLCwggMDCQxMZGqqipbx7GKoqIiHBwcmuXwRdEwdu3axZQpUy5aPv+NV9i3bye3/d9/adOqejRv56jHCOt+H23b2PPgvzpy9mwRkZGRQPVwwYSEBP797383an5R06ZNmxg4cCAAcXFxbNq0yfLc+fcqICAAb29vS2dTf39/y++OESNGsHbtWkuBNXTo0MY+hCvSav/8J0ej0VianqiBmrOpndrPnZrzqTmbEKJ2mtQ9U38VERGBwWBg8+bNDB48uMm3Ej958qRclRJW4+/rzKfv9CYtvZQtKYXoK02EdnZjyABvHOz//Ad87dq1jB07lsmTJ9OvXz8bJm7Z9Ho9qamp7N+/n6+++gqAgoICMjMza6x34Yev84/PT3h54403Mn36dFxcXBg8eDCOjo6NE74WPDw8KCkpsTwuLi7Gw8PDdoEuoOZsaqf2c6fmfGrOJoSovSZdTGk0Gnr06MG2bdvYunUrcXFxTbbTi6IoZGdny4dZYXVhIa0IC7n81c7rr7+eoqKiRkwkLiU5OZmoqChefPFFy7K3336bhISEWm/Dz8+PwMBAPv30UxYtWtQQMevN19cXRVFIS0sjLCyMDRs2EBMTY+tYgLqzqZ3az52a86k5mxCi9pp0MQXVBVVsbCzJyckkJyfTv3//i765bQpKS0sxmUy0bdvW1lGEEDaQmJjIiBEjaiwbPnw4CxYsqNN2Bg0ahEajoX379taMZxUzZsxg4cKFlJeXExAQUKM9sq2pOdua3a6kHq3u8PriN14MCK1gZJR6GjCp+dyBuvOpOZsQonY0yvnxIU2cyWTi999/x9HRkT59+jS51s4HDx6koqJCvpUSooWIjY1l+/btVt/uiy++yKhRo+jTp88lnw8ODiYjI8Pq+7UWNecL9HEh9T31dhTr92gRGRlZto5xSWp+X9WcDRrud4W4WEO3FW+MtuXNYR9N7Ria3iWcy9DpdAwYMMBy43VTqxGlJboQ4lqdOnWKjIwMYmNjbR1FCCGEaBGaTTEFYGdnR1xcHEVFRezdu9fWcWqtvLycc+fO4e3tbesoQogmzM/Pj+XLlzfJoc5CCCFEU9Ts/sV1cHBg0KBBZGdnc/DgQVvHqZWcnBz8/PzkA5AQQgghhBBNSLP89O7k5MSQIUM4duwY6enpto5zVTLETwghhBBCiKanWRZTAC4uLgwZMoSDBw+q+sbSqqoqCgsL8fX1tXUUIYQQQgghRB0022IKwM3NjcGDB/PHH3+QnZ1t6ziXdOrUKdq1a4edXZPvUi+EEEIIIUSL0uw/wbdp04a4uDg2b96MnZ0dPj4+to5UQ3Z2tirngxFCNKzCwkKCg4Mbfb96vd4m+60tNeerNJjp82CarWNcVpXiptpzp+b3taL0NIE+LraOcVlaeydbR2hQeXl5TJo0ie+++87WUZqcW65/l6Ki8quu5+HhwvdrJzdCInVq6PPU7IspAA8PD/r3709SUhJxcXF4enraOhJQPTdWXl6ezC0lRAvk6elpk7lj1D6njprzNY15ptR57uR9rb/Rz5XYOkKdjR8/HoDly5ej0+kAOHDgAFOnTuWuu+7C19eX9evX8+qrr9oyZpNXmwKhLus1Vw19npr1ML8LtWvXjt69e7NlyxZKSkpsHQeo/jbG3d0dJ6fm/a2TEEIIIVqerVu3Wn7+8ccfadeuHQDx8fFSSIlmo8UUUwDt27enZ8+ebN68mdLSUlvHkSF+QgghhGiWbrrpJr7//nsAiouLOXr0KL179wZg8+bNPP3005d83ffff8+UKVMoL6++SrBq1Sruvfde/vGPf/DWW29RVVXVKPmFqK0WVUwBBAUF0a1bNxISEiz/o9qC2WwmJydHWqILIYQQotnp3r075eXlpKWlsWbNGkaNGnXV+TS3bt3KqlWrmD17Ni4uLiQkJPDLL7/w8ssvs3z5cnJzc/npp58a6QiEqJ0Wcc/UX3Xu3Bmj0UhCQgLDhg2zyTC7wsJCnJ2dcXNza/R9CyGEEEI0tL/97W98++23HD9+nAULFvDxxx9fdt20tDSWLFnCnDlz8PDwAODXX39l3LhxllE8o0eP5ueff+a222676r6zs7OpqKioU97KysoGnZ+0obd/Jdbcb0s8TyEhIZd9TYsspgDCwsIwGAwkJiYydOhQHBwcGnX/MsRPCCGEEM3Z8OHD+eijjxg6dCiurq6XXc9oNPLiiy8SHh5OQECAZXl+fj5z587l9ddfB0BRlFp3hazPyJ/09PQrfmi+Vg29/Sux5n7lPNXUYospgIiICAwGA5s3b2bIkCGNNteToihkZ2czYMCARtmfEEL9Ro0axbBhwyz3ESiKwoMPPoi7uztz587l999/JykpiSeffJJ169axZ88epk6dauPUdXPs2DHefPNNysvLCQoKYurUqVf8gNWY1JwNoLBUx8yV3rxzb66to1xE7edO7fnU/N5eK0dHRx5++GFCQ0OvuJ6iKDzzzDO89dZb/Pe//+WOO+4Aqrue3nffffTt27cx4gpRLy3unqkLaTQaevToQatWrfj9998xmUyNst8zZ84A4O7u3ij7E0I0DZmZmeTn5wOwfft2S0thgIEDB/Lkk0/aKppVzJkzh8mTJ7Ns2TLCw8P5/PPPbR3JQs3ZVm13Y9a3XlRUqfOfbDWfO1B3PrW/t9YwaNCgq87xaW9vT2RkJDNnzmTlypWkpKQAMGLECD755BOOHz+OwWAgIyOjRodAIdSg+f7fW0sajYbY2Fjs7e1JTk7GbDY3+D7PD/HTaDQNvi8hRNNx00038cMPPwDwww8/cMstt1ie++2333jjjTcues3Jkye5//77SU9PR1EUPvvsM6ZMmcL999/P4sWLURSlseJfUV5eHoqiEB4eDsCwYcMsH5hsTc3ZAMbEnmPh+Dxbx7gktZ87tedT83trCwEBAUybNo158+aRkZFBfHw81113HS+//DL/+Mc/mDNnDmVlZbaOKUQNLXqY33larZa+ffuyZcsWtm3bRp8+fRq00MnOzqZHjx4Ntn0hRNM0fPhwHnroIQYOHIi9vf1Vx/zn5+fz0ksvMXXqVEJCQli3bh16vZ5FixahKAqzZs0iKSlJFUOKCwsLa1yNd3d3p7Cw0HaBLqDmbGqn9nOn9nzN1eUaTUyePNny86BBgwDw8fHhu+++syzv1asXX3/9teXxmDFjGDNmTAMlbdo8PFxqNdGsh4dLI6RRr4Y+T1JM/Y9Op2PgwIEkJiaya9cuevbs2SAFVVlZGRUVFXh5eVl920KIps3BwYEhQ4Ywa9Yspk+ffsV1z549y7PPPsvkyZPp2rUrAKmpqRw+fNjyzXtlZSW5ueq5D+PCtsgajQaj0WjDNDWpOZvaqf3cqT2fEPX1/drJFy2zZfMGtWro8yTF1AXs7OyIi4tj06ZN7Nu3j6ioKKvvIzs7Gz8/v6vOtSCEaJluuukmMjMziY6OZt++fZdd7+DBg4SFhbF582bLlW5FUZg4cSJxcXGNlLb2PDw8KCkpsTwuLi62tD+2NTVnUzu1nzu15xNCNH3yif4vHBwcGDx4MCdPnuTQoUNW375M1CuEuBIPDw+ee+65q67Xt29fnn/+eTIzM/nqq68AiImJYdWqVZZ7Ck6dOkVmZmaD5q0tX19fFEUhLS0NgA0bNhATE2PjVNXUnE3t1H7u1J5PCNH0yZWpS3BycmLIkCFs3LgRe3t7OnfubJXtVlZWUlxcfNWuNkIIURsODg7MnDmTJ598Em9vb2644QYKCwt57LHHMBqNuLq68thjj9k6psWMGTNYuHAh5eXlBAQEqKq1u5qzrdntSupRZwBe/MaLAaEVjIxSz034aj53oO58an9vhRBXp1HU0upJhUpLS9m0aRPdu3cnKCjomrd34sQJsrOzGThwoBXSCSGastjYWLZv397o+w0ODiYjI6PR91tbas4X6ONC6ntdbB3jsvo9WkRGRpatY1ySvK/1N/q5EnbuU+e5a26aw2S0zWEfTe0YZJjfFbRq1YrBgweze/ducnJyrnl72dnZMsRPCCGEEEKIZkKKqato06YNcXFxbNu2jdOnT9d7O0ajkdOnT+Pn52fFdEIIIYQQQghbkWKqFjw8POjfvz9JSUn1np8iLy+Ptm3b4ujoaOV0QgghhBBCCFuQYqqW2rVrR+/evfn99985c+ZMnV8vQ/yEEEIIIYRoXqSYqoP27dvTo0cPEhMTKS0tpbS0lD179lz1dWazWVqiCyGEEEII0cxIa/Q6CgoKwmAwsHHjRoxGIyaTic6dO+Pq6nrZ1xQUFODq6oqLi0sjJhVCCCGEEEI0JCmm6qFNmzZUVVVhNpvRarXk5OTQpcvl26rKED8hxF8VFhYSHBzc6PutKD1NoI96v9ipUlxscl5qo4pW9Hu0yNYxLkuvr1LtudPr9arNpvb3VavR2DqCEOIKpJiqI0VR+P333zk/PZfZbCYjI6NGMVVcpnCmHEwmBQc7OJmTx+C4/raKLIRQIU9PT5vMM6X2OXWq50pS55w6ap4rCdSdT7LVX2xsrK0jCCGuQIqpOtJoNFx33XWcOHGCo0ePUlFRQVFREZWVVeSU2HHoFFQZwWAEBdBpFRTPYezLtSfKXqG1i3zDJIQQQghhS7dc/y5FReVXXc/Dw4Xv105uhESiqZJiqh6cnZ3p2rUr4eHhlJSUsGfvPrYe0VJcDiZzzXVNZg1gT04xFJQqxHZU8PeUvh9CCCGEELZSm0KqLuuJlkuKqWug0Whwd3dH124gBWfArFx5/SojbD8GDvZmvFtLQSWEEEKI5mX8+PEUFBSg1Wrx8PBg1KhR/POf/7R1LCEajBRT9XTixAk6d+5M14goyvRgMplwdHLhX4/MI7z7wMu+bsEL9/JjaCRL5z+JRm4qFUIIIUQzs2DBArp06UJ2djYzZswgNDSUmJgYW8cSokFIMXUNnJ2deefLnZw+W/146/r/8u5LE3jr67Qrvs5khuIy8HBrhJBCiCZh1KhRBAQEANW/W6ZMmUJYWJiNU1lfYamOmSu9eefeXFtHqeHYsWO8+eablJeXExQUxNSpU6845UVjU3M+NWcDdedTc7ZrpdFoCAgIICwsjFOnTgHw448/8s0331BRUcGgQYN44IEHcHBwoLCwkLfeeou9e/fi4uLCsGHDuO+++wBYtWoV33//PefOnWPQoEFMmjQJBwcHWx6aEDVIMXWNSi4YSnvubCFtvfwAWP/9+6z5ehFarY42Hu2YMPVt2geFArBv9xYGx32Dueos1113HfPmzcPOTt4KIVq6pUuXArBjxw4WLFjAkiVLbJzIulZtd+O3/a5UVKlvmPOcOXN48sknCQ8P57///S+ff/45EydOtHUsCzXnU3M2UHc+NWe7ViaTibS0NA4cOMCECRPYtWsX3377LbNnz8bd3Z25c+fy5Zdf8q9//YuPP/4Yf39/pk2bRlFREcnJyQAkJCTwyy+/8PLLL9OqVSteeeUVfvrpJ2677bar7j87O5uKigqrHEt6erpVtlNZWWm1bTXnfajxGEJCQi77nHyCvwYVFRU8Pi4GM1BWWkxxwSmenvsd+7b/xqrP5vHy0t9p3dabTas/4vVptzH/870AFJ3OZsGHG7khxpHrr7+epUuX8tBDD9n2YIQQqhEVFUVeXp7l8dq1a/nmm29QFIVevXoxceJEdDodP/zwA6tWrcJsNuPh4cHMmTNp3bo1K1asICkpicrKSnr16sWkSZNUMax4TOw5xsSeY8J77W0dpYa8vDwURSE8PByAYcOGMWPGDNV8qFVzPjVnA3XnU3O2azV16lQURUGj0TBnzhzat2/PV199xejRowkMDATg7rvv5tVXX+Vf//oXlZWVVFZWUlVVRUBAALfffjsAv/76K+PGjaN9++rfGaNHj+bnn3+uVTFlzfk9r/RBui7S09Ottq3mvI+mdgxSTF0DZ2dn3vx8J5XG6sd7Utfz+vTb6NnvBgbE30Hrtt4ADB19Dx8ueJz8UycAGHzD3Ti7uOLgoOXuu+9m9erVUkwJIYDquex+/PFHy/0Fx48fZ+XKlSxYsAAXFxdee+01fvnlF4YMGcJHH33E559/jpOTE+np6eh0OtavX49er2fRokUoisKsWbNISkpiwIABNj4y9SosLMTd3d3y2N3dncLCQtsF+gs151NzNlB3PjVnu1ZvvPEGQUFBTJ48mfT0dKKioigqKqJHjx6WdTw9PSkqqp4s+Z577uHdd99l/PjxeHt7c9dddzFs2DDy8/OZO3cur7/+OlD9+1Gtkz+LlkuKKSuK7hOPb0AIRw/toH3wX+51UBSMRgMAWq0O5/8N9zWbzdjb2zdyUiGEGk2cOJEzZ87g6+vLnDlzANizZw+9e/fGza36JssRI0bw66+/csMNN+Dl5cWCBQvo0aOHZZ3U1FQOHz5MSkoKUD2UITdXXfcnqZFW++fQQ41Gg9FotGGai6k5n5qzgbrzqTnbtXJycuKJJ57gueeeo2fPnnh4eFBQUGB5vqCgAA8PDwD8/PyYPXs2RqORLVu2MH/+fOLi4vD09OS+++6jb9++tjoMIa5KfQPXmxhXpz9/zsk8TP6pE9zyf0/z+7qvOFucD8DGnz7ErY0nvgHVlxO3bviKYI8q9Ho9H3/8MaNGjbJFdCGEyixdupSFCxdSUFDAsWPHrriuTqdj0aJFDB06lOzsbB555BEyMjJQFIWJEyeydOlSli5dyieffFKrITEtmYeHByUlJZbHxcXFlg95aqDmfGrOBurOp+Zs1hIZGcmoUaN4/fXXGTx4MKtXryYrK4vS0lJWrFjBsGHDAPj00085fPgwUH1enJyc0Ol0jBgxgk8++YTjx49jMBjIyMhg69attjwkIS4iV6auQUVFBY+OjaGsEhRAMZt5YNoSBsTfgclk4sWH41EUM63dvZk+7wfLN1B+/h34+02DKS0t5dZbb2X8+PG2PRAhhGr4+fkxbdo0Xn31VebNm0d0dDQvv/wyY8eOxdXVlfXr19OjRw9KSko4ceIE/fv3p3///hw9epTc3FxiYmJYtWoVPXv2xNXVlVOnTmEwGAgKCrL1oamWr68viqKQlpZGWFgYGzZsUFUbZzXnU3M2UHc+NWezpnvuuYcpU6awe/du/v73v/Pcc8+h1+uJi4uzzD/l7OzMK6+8QlFREe3bt2fGjBlotVri4+MpKyvj5ZdfpqCgAB8fH8v9VNfKw8OlVhPyeni4WGV/ovnSKIpylalmxZUoisJv+xWKz1UXVFdjr4PencDfUy4KCtGSxcbGsn37dsvjUaNGsWbNGsvjn376iR9//JH58+eTkJDA999/j9lsJiYmhgcffJDS0lJeffVVcnNzcXBwICoqismTJ6PRaFixYgWJiYkYjUZcXV157LHHLDfaBvq4kPpel0Y/XoA1u11JPepMRoEDwV5VDAitYGRUWY11+j1aREZGVqNnO3r0KAsXLqS8vJyAgACmTp1Kq1ataqwTHBxMRkZGo2dTez41Z6tNPjVng4t/V4iGI40V1LGPpnYMUkxZgcGksGm/wtkKMF/hbNrrICoIOvtIISVES2erD0i2LKZqw1bFVG3Y8kN3bag5n2SrPymmGo8UCerYR1M7BvlUbwX2Og3DIzWE+YGTPdjpaj7vYAcerjAgVAopIYQQQgghmgu5Z8pKdFoNkUEaIgIVcooVisvAaAJnBwjw0ODqZPs5XoQQQgghhBDWI8WUlWk0Gvw9NPg3r4Y8QgghhBBCiL+QMWdCCCGEEEIIUQ9STAkhhBBCiBYvOTm5SW+/ueyjqR2DFFNCCCGEEKLFW7FiRZPefnPZR1M7BimmhBBCCCGEEKIepAGFEELYgJeXF7GxsY2+X629E6OfK2n0/daWVqOxyXmpDa1Wq9psoO58kq3+vLy8bB1BCHEFUkwJIYQN/PLLL7aOIIQQQohrJMP8hBBCCCFEi3fXXXc16e03l300tWPQKIqiWG1rQgghhBBCCNFCyJUpIYQQQgghhKgHKaaEEEIIIYQQoh6kmBJCCCGEEEKIepBiSgghhBBCCCHqQYopIYQQQgghhKgHKaaEEEIIIYQQoh5UOWlv3M0JaLRaNFoNWp0OjVaLVqtBo6leZnnO8vjP53Q6nWVZzec11dvQatFo/ve8VoNWp0X7v8c11ju/joYLtqdBq/vz+erXccFr+PM1Gg1aLdXra/73nAbLepbtnv9ZQ/X6ltf/uezCdWr+rKCzPK/UfB7lgnX/9zMKWq1S43mNRkF7wc8aLnxeQasxo+XP5/76X+2Fy6he//zPf/4xV6+j/O+xYrb8V6uY/vdzzeXV65rhr8vNJjSKAorZspz/rY/y5/qW15lNYK5+XHO9//18wXOcf/yX12A+/9+ay5Tz/zUZ/3ytoqCYaz6PYkYxVz+vKAqK0WRZduG6lnX+t1z53zbNRnP14/PLzYplPxcuO/+zyWD+y7I/1zGbLn5sNppQTH8+ZzYpKKYL1jcpmI0KiqH6v6YKM4rBbFk22pBm618ZQgghhBA2IVemhBBCCCGEEKIepJgSQgghhBBCiHqQYkoIIYQQQggh6kGKKSGEEEIIIYSoBymmhBBCCCGEEKIepJgSQgghhBBCiHqQYkoIIYQQQggh6kGKKSGEEEIIIYSoBymmhBBCCCGEEKIepJgSQgghhBBCiHqQYkoIIYQQQggh6sHO1gEuZdKdWdx99922jtEEaC76+bPPPpNzVw9y3upPzp0QQgghWipVXplasWKFrSM0WXLu6kfOW/3JuRNCCCFES6XKYkoIIYQQQggh1E6KKSGEEEIIIYSoBymmhBBCCCGEEKIeVFlM3XXXXbaO0GTJuasfOW/1J+dOCCGEEC2VRlEUxdYhhBBCCCGEEKKpUeWVKSGEEEIIIYRQOymmhBBCCCGEEKIebDJpb15eHvPmzSMtLQ0fHx8eeeQRoqKiLlovOTmZzz//nJMnT+Li4sLf/vY37rjjDhskVo/anrsLvf766xw9epQlS5Y0Ukp1qsu5Kygo4MMPP2T79u2Ul5czb948wsLCGjmxetT23On1epYsWUJSUhIAffv2ZfLkyTg5OTV2ZCGEEEKIBmeTK1MLFiwgIiKCL774gnHjxvHqq69SVVV10Xrl5eXcfffdfP7557z22musXr2aHTt22CCxetT23J330UcfkZWV1YgJ1au2566iooLp06cTEhLCsmXL+O9//0twcLANEqtHbc/dZ599RkVFBcuXL+e9996jsLCQr776ygaJhRBCCCEaXqMXU6WlpRw8eJBx48bh6urKsGHDaN26NQcOHLho3eHDh9OnTx+cnJzw9/ene/fuHDt2rLEjq0Zdzh3AL7/8wokTJ7j33nsbOan61OXcrV69mpiYGG699VZatWqFs7Nzi76yUpdzl5WVRXh4OK6urri7u9OrVy9yc3NtkFoIIYQQouE1ejGVm5uLu7s7Dg4OlmX+/v7k5ORc8XWKonDkyBECAwMbOqJq1eXcbd++nbVr1zJ9+nR0Ol1jxlSlupy7HTt2cOrUKe655x7+/ve/85///IczZ840ZlxVqcu5Gz16NCtWrODLL7/k5MmTbN68mdGjRzdmXCGEEEKIRtPoxVRlZSWOjo41ljk6OlJZWXnF133zzTfodDp69+7dkPFUrbbnLjc3lw8++ICZM2e26CsqF6rL37v8/Hy6d+/Ou+++y6effkqbNm14++23Gyuq6tTl3HXo0IHg4GBycnJ44okncHZ2plOnTo0VVQghhBCiUTV6AwpHR0dMJlONZZf6sHahhIQEfvzxR+bNm9eir7LU9tydPn2akydPMn78eKD6qp7JZOJvf/sbX3zxBa6uro2WWS3q8vdOo9HQrVs3XFxcALjzzjt5/PHHGyWnGtXl3L322mvceeed9OnTh8rKShYuXMg777zDU0891VhxhRBCCCEaTaNfmfL19SU/Px+9Xm9Zlp2djZ+f3yXX37hxI8uXL+eVV17B29u7sWKqUm3PXXR0ND/++CM//PADP/zwAy+//DJBQUH88MMPLbKQgrr9vfP19SUjI8Py2Gg01hji1tLU5dwdO3aMoKAgoLoIGzlyZIu+z1EIIYQQzVujF1OtWrWia9eufPXVV1RUVJCYmMiZM2eIiIjg999/Z+LEiZZ1f/rpJ1asWMHcuXNp3759Y0dVnbqcO1FTXc7d8OHD+fLLL8nKyqKsrIwVK1YwdOhQ24W3sbqcu8jISD755BNKS0spLS3ll19+oUePHrYLL4QQQgjRgGwyz9Sjjz7KG2+8wcqVK/H19WX69Ok4ODhQXl7OyZMnLeslJiZy6tQpJkyYYFnm4+PD8uXLbRFbFWp77sTFanvuhg0bRmFhITNmzMBgMDBkyBD+9a9/2TC57dX23D3++OO8++67TJgwATs7OwYNGiTdJIUQQgjRbGkURVFsHUIIIYQQQgghmhqbTNorhBBCCCGEEE2dFFNCCCGEEEIIUQ9STAkhhBBCCCFEPUgxJYQQQgghhBD1IMWUEEIIIYQQQtSDFFNCCCGEEEIIUQ/Nrpj67LPPmDVrlq1jCCGEEEIIIZo5VRZTc+bMYd68eRctP3fuHDfffDMnTpxo/FBCCCGEEEIIcQFVFlMjRoxg69at6PX6GssTExMJCgqiQ4cOtgkmhBBCCCGEEP+jymIqNjYWR0dHkpOTayzfuHEj8fHxzJ49mzvvvJMxY8Zw3333sXbt2stua9SoURw9etTy+K/DANPS0njqqae47bbbuP/++9m4caP1D0gIIYQQQgjR7NjZOsCl6HQ6hgwZwm+//cbQoUMByMvL49ChQzzzzDNERUXh6+uLq6srGRkZPP7440RHR+Pn51en/RQWFvLcc8/x0EMPERcXR1paGjNnzqRTp04EBwc3wJEJIYQQQgghmgtVFlMA8fHxPPbYY5SUlODu7s7GjRvp2bMnbdu25ejRo3z55ZccOXKE0tJS9Ho9mZmZdS6mfvvtN6Kiohg+fDgAUVFRdO/enW3btkkxJYQQQgghhLgi1RZTISEhBAQEkJCQwJgxY9i4cSNjx47l4MGDzJ49m3vvvZcHH3wQd3d37r//fkwmU533kZeXR0pKCn/7298syxRFwd/f35qHIoQQQgghhGiGVFtMAQwfPpyNGzcSERFBQUEB/fv3Z9WqVURERHDLLbfUaht2dnYYDIZLPuft7c2AAQN49tlnrZhaCCGEEEII0RKosgHFecOHD+fIkSN89tlnDBo0CEdHR/z9/cnMzCQ/Px+9Xs/XX39NYWHhZbcRFBTE77//TlVVFXv27GHz5s2W54YOHcquXbv49ddfqaio4Ny5c+zatYtDhw41xuEJIYQQQgghmjBVX5ny8vKie/fupKSkMHfuXAAGDBjAH3/8wYMPPoiTkxMjRoygdevWl93G5MmTefPNN/n555+JiIigQ4cOlitVPj4+zJ49m48//pilS5cC0LlzZ+6///6GPzghhBBCCCFEk6ZRFEWxdQghhBBCCCGEaGpUPcxPCCGEEEIIIdRKiikhhBBCCCGEqAcppoQQQgghhBCiHqSYEkIIIYQQQoh6kGJKCCGEEEIIIepBiikhhBBCCCGEqAcppoQQQgghhBCiHqSYEkIIIYQQQoh6kGJKCCGEEEIIIerh/wGGRKYGykOh7QAAAABJRU5ErkJggg==\n", 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YWBjh4eFWu3dLCCGEEEI0jytd2ncxa17m5+vry8GDB+tM2nvgwAGrXbq2cOFCJk+ezHXXXWdZlpiYyIIFC5g/f/41b//rr7+murq63kTGGo2Gr7/++pq3P2TIEKD28sum5uTkxNmzZ+sUU2fPnr3kZMFXQ5XFVFpaGp06dar3XEBAAEFBQezZs4cbbrihye9rsre3t1zud+7cOdLT0/nhhx/w8PAgIiKCoKAgabEuhBBCCNECLFiw4IrPV1ZWWuVs0cUmTJjAyy+/jNFotFxalpqayvPPP2+V7efk5NCtW7c6y7p160Z2drZVtv/+++/XW2bN45STk8OyZcuuuE6/fv2sMtZdd93F9OnTGTFihOUs3urVq6+pkx+osJgyGAwkJCRgMpku2WwiNjaWTZs2cfz4ccLDw5stl4eHB927d6dr166cPn2ajIwM9u7dS0hICBEREXVmbBZCCCGEEOpyqbNBp06dYvv27Wzfvp2zZ8/WOYNkDV27dmXx4sX88ssvFBYW0rlzZ/75z39iMBissv1OnTrx9ddfc88996DVajGbzSxfvtxqbcUvHLOmOk7Lli3Dz8+vzpm1i1nzxMltt91GcHAw27ZtY9++ffj4+PDPf/6Tffv2XdN2VXfPFMDGjRvp3r37ZX/QiouL2bp1q1XbpTdGaWkpGRkZHD9+HEdHRyIiImjfvn2d62KFEEIIIYR6nD59mu3bt/Pjjz9SUVFBfn4+//73v+nRo4fVxqiurmbt2rUUFBTQv39/zp49y+zZswkNDSUrK4tp06bVO6PUGBe6BR4/fhxPT0+KiooIDw+3SrfA5jhOhw8f5vvvv+fYsWPceuut3HzzzU3S7GLv3r1kZ2fTo0cPAgICAMjMzGT27NlUV1fzwQcfNHrbqiymfv31V+zs7K5441xqaipZWVkMHjzY5o0hzGYzubm5ZGRkkJubS1BQEOHh4fj4+EiLdSGEEEIIlXj88cfJz8+nf//+DBw4kE6dOnHPPffw3nvv1btf/1q8+eabZGdn07lzZ/bt20dZWRmTJ0+mU6dO7Nq1i88//5x58+Y1evslJSV1HldUVFBYWGi1yYeb6zhdUFxczNq1a9m6dStxcXHceeedVms49+WXX7J69Wqio6M5cuQI06ZN4+jRo3z88cfceuutjB079ppOhKjuMj+ovW8qOTn5isVUVFQUOTk5HDp0iK5duzZjuvq0Wi0BAQEEBARQUVFBZmYmu3fvBiA8PJywsLBrvrlNCCGEEEJcmxMnTtCtWze6du1KZGQkYN1LyS7YtWsXixcvxtPTk7y8PO6//35LP4D4+HheffXVa9r+Pffcg0ajQVGUevm9vb15+umnr+n9cXMdpws8PT3p2bMnx48f54cffiAmJsZqxdTatWuZNWsWwcHBHD58mKlTp+Lr68vMmTPp0qXLNW9flcWUj48PRUVFl71vCmq/oddffz0bNmzA39/fateeXisnJyeio6Pp2LEjBQUFpKens3btWvz8/AgPD8fPz8/mZ9KEEEIIIdqiL774gsTERLZt28aCBQvo2bMnVVVVWPtCrcrKSsv99AaDoU7DMjs7O8xm8zVtX6vVsmrVqnrLTSYTP/74I++++y4LFy5s9Pab6zgpisLPP//Mt99+S3l5ObfffjuTJk2y6i0zRUVFBAcHA2A0GlEUhXfffddqncFVWUzZ29vTrl07CgoKrliVOjk5ER8fT0JCAjfddJOq7lXSaDT4+Pjg4+NDVVUVJ06c4NChQ3VarFtrQjUhhBBCCPHHHB0d6d+/P/3796eiooKEhARKS0t5/PHH6dy5Mz179mT48OHXPI6iKKSlpdVZduGxNQqSy5110ul09O/fnzlz5lzT9pvrOI0bNw5FURg5ciTdu3cHICsrq846F86MNZbJZKrzvdBqtZw4ccJqY6jynimA/fv3o9FoGnSKMikpicrKSnr37q36e5SKi4tJT08nKysLLy8vIiIiCAwMvOwZOCGEEEII0bTKy8vZuXMnO3bsYMaMGde8vbFjx/7he9KPPvromse5lLy8PN5++21eeeUVq2+7KY/ThcsWL6bRaPjwww+tNsalXOsYqi2mcnJyOHz4MIMHD/7DdWtqati0aRNGo5GwsLCmD2cFNTU1nDp1ioyMDM6ePUtoaCjh4eG0a9fO1tGEEEIIIYQQDaDKy/yg9r6p4uJiampq/nBiXDs7O3r37s22bdvw8fGpM7OxWtnZ2REaGkpoaCglJSVkZGSwbds2XF1dCQ8Pp3379tjb29s6phBCCCGEEOIyVNsJwc7ODk9PT/Lz8xu0vqenp6Xd5LXe1Nfc3N3diY2NZeTIkRiNRk6fPs2qVavYvXs3BQUFVr/ZTwghhBBC1PXpp5+26O23ljFa2j6otpiC2hbpZ86cafD6UVFR2Nvbc/jw4SZM1XS0Wi1BQUH069ePW265BVdXV3bt2sWGDRtITU2lsrLS1hGFEEIIIVqlZcuWtejtt5YxWto+tKpi6kK79PT0dPLy8powWdNzdnamU6dO3HrrrfTo0YPCwkLWrFnDzp07yc3NlbNVQgghhBBC2Jhq75mC2knHzp07R1VVVYPbnjs7O9OzZ09VtktvDI1Gg6+vL76+vlRWVpKVlcW+ffuoqamxTAjs4uJi65hCiBbilltuafDl07ZQUFCAt7e3rWNckpqzgbrzSbbG8/HxYd26dbaOIYS4DFUXUzqdDr1eT35+PoGBgQ1+XVBQEDk5OSQlJdG7d+8mTNi8HB0diYqKIjIykqKiItLT09mwYQPe3t5EREQQEBAgEwILIa4oPz+f3bt32zrGZYWGhqo2n5qzgbrzSbbGi4+Pt3UEIcQVqP6d99Ve6ndBt27dKC4uJjMzswlS2ZZGo0Gv1xMfH8/IkSMJDg4mJSWFVatWsX//fkpKSmwdUQghhBCiRbntttta9PZbyxgtbR9UfWYKaouppKSkq36dnZ0dvXr1Yvv27Xh7e7eIdumNYWdnR3h4OOHh4Zw7d4709HR++OEHPDw8iIiIICgo6A9bywshhBBCtHU33XRTi95+axmjpe2D6s9M6fV6zp8/36hOdl5eXhiNRhISElpcu/TG8PDwoHv37owcOZKoqCgyMzNZtWoVSUlJFBUV2TqeEEIIIYQQrYrqT1lotVp8fHzIy8sjODj4ql/fsWNHcnJyOHLkCDExMU2QUH10Oh3BwcEEBwdTWlrK8ePH+emnn3B0dCQ8PJyQkJAW35hDCCGEEEIIW1P9mSkAg8HQqPum4Ld26ceOHVN1B6um4urqSkxMDLfeeitdu3blzJkzrF69moSEBPLy8qTFuhACgKSkJIYPH873339vWTZ27Fhyc3MBGD9+vM1+hw4fPpzx48czfvx4HnjgAT7//PM/fM1bb73Fxo0bmzzbc889x9///neeeeaZK643fPjwJs9yOZf63qrB8OHDmT17tuWxoig8/PDDlmP5008/8eabbwKwceNG3nrrrWbNduFn7vHHHyclJaXZxhZCtCyqPzMF4Ofnxy+//NLo1/++Xbq9vb0V07UMWq0Wf39//P39qaioIDMzkz179qAoiqXFupOTk61jCiFsZNu2bQwYMICtW7de8sbcRYsW2SBV/fFLS0u5//77ue2221RxL+wrr7zC/v37+fTTT20d5bL+6HtrS1lZWeTl5WEwGNi9ezc6nc7yXN++fenbt6/Nsl34mduzZw9z585l4cKFNssihFCvFlFMeXp6UlZWRkVFRaPf8AcFBZGdnU1SUhK9evWycsKWxcnJiejoaDp27EhBQQHp6emsXbsWX19fIiIi8PPzkxbrQrQh1dXVJCQksHDhQh5++GFyc3Px8/Ors86IESNYvXo1UPvm/IsvvqCiogKDwcD06dOpqKjg3XfftZzJGjduHNddd53Vs+bn5+Pj44OzszMACQkJfPTRR9TU1NCxY0cee+yxOs+tXr2a4uJiRo4cyejRo62e52Imk4kPPviApKQkNBoNo0ePrnOT8wcffMDevXupqalh2rRpREREsHHjRtauXYujoyM5OTl06NCBZ5991mq/gy/3vR07dixxcXEkJydTU1PDfffdx5YtWzh58iRBQUG88MILbNu2jR07djBjxgwAUlNTeeedd5g/f75VsgGMHDmSlStX8uCDD7Jy5UruuOMONm/eDMAPP/zA3r17mTRpUp3XnDx5kn//+99MnTqVDh06sGzZMnbu3EllZSU9e/ZkwoQJaDQaq2Xs2rWr5ecaYP369Xz99dcoikLPnj0ZP348Op2OlStXsmLFCsxmM3q9nhkzZuDh4dHk+YQQttUiiqmL75tq3759o7fTvXt3Nm7cSFZWFiEhIVZM2DJpNBp8fHzw8fGhurqarKwsDh06xO7duy0dAl1dXW0dUwjRxPbs2UOHDh3w9PS0dEH985//fMl1s7Ky+Oijj5gzZw5eXl4cOnQIgLlz5zJu3DgiIyPJy8vjqaee4pNPPrFaUTB+/HhMJhP5+fn069eP6upqSkpKmD9/PnPmzMFgMLB48WI+//xzxo0bB9RO/D5t2jTKy8t55JFH6N+/f70i0ZrWrl1LcXEx77//PmVlZfzrX/8iOjqa0NBQAHr37s3DDz/MihUrWL58ueVyNpPJxJQpU/Dw8OCpp57i119/pUePHlbJdKXvbZcuXXjiiSdYs2YNH3/8Ma+99hp+fn5MmjSJpKQk+vXrx+LFiy0F7OrVq61+Zmvw4ME88sgj9O3bF3t7e4KCgq64fl5eHi+//DKTJk0iMjKSjRs3UlFRwfz581EUhZdeeomdO3fSp08fq+RTFIXvv/+euLg4ADIyMli+fDlz587FxcWF119/nXXr1jFgwAA++ugjPvvsM5ycnEhLS0On07Fp06YmzSfatjtufo/CwrI/XE+vd+G79RObIVHb1CKKKfhtvqlrKabs7Ozo3bu3pV26FAq/sbe3p0OHDnTo0IHi4mLS09PZuHEjXl5eREREEBgYWOfyCyFE67F161bL5VT9+vXjk08+uWwxtW/fPnr16oWXlxcAMTExVFRUcODAAV5//XXLeiaTieLiYvR6vVUyXrjkqqqqivnz57Ns2TJiYmLo2LEjBoMBgGHDhtW5ryYyMhKdToebmxsxMTGkpaU1aTG1d+9ehg0bhlarxc3NjV69evHrr79aiqnY2FgAwsPD+fnnny2vCwkJwdPTE6idQNaa96Zd6XvbpUsXAIKDgzEYDJZjExQURGFhIQ4ODgwZMoT169dzxx13kJSUxMSJ1n1D5uDgwIABA3jppZeYOnXqFdc9d+4czz33HBMnTqRTp04AJCYmkpqaSkJCAgCVlZXk5ORYJdv48eM5e/Ys/v7+zJo1C4D9+/dz3XXXWS4xHTJkCBs2bOCWW27Bx8eHuXPn0r17d8s6TZmvpcnNzWXChAl8++23to7SajSkkLqa9UTjtKhiKj09/Zq34+XlRXR0NAkJCQwcOFAuZ7sET09P4uLi6NatG6dOneLYsWMkJSUREhJCREQE7dq1s3VEIYSVVFRUkJiYyKFDh/jyyy+B2kvpsrKyLrn+pZrWmEwmHBwcmuW+KgcHB/r168fq1asv2aH1ck11ampqmux+WbPZfMnLthRFuWQerVZ72ZzW/JvU0O/t78e8ON+tt97K1KlTcXFx4cYbb8TR0dFq+S4YOXIkWVlZxMbGcvDgwcuud+TIEaKjo/nxxx/p3r07UHuMx48fT79+/ayea9GiRWRnZzNp0iTS09MtxfCl6HQ65s+fz549ezh06BBLly7l1VdfbdJ8alZRUcGYMWMICgq67GWhI0aMYMmSJU36AYcQzaHFVBKenp5UVlZSXl5+zduKjo5Gq9WSnJxshWStl06nIyQkhIEDBzJkyBDs7OzYtm0bmzdvJj09nerqaltHFEJco127dtG1a1eWLl3Kxx9/zMcff8wtt9zCtm3bLrl+bGwsO3fupLCwEKi97ElRFEJDQy2fOJtMpmtqGnQl1dXV7NixA6PRSHR0NCkpKeTl5QGwYcMGy5tswDI/4ZkzZ0hNTcVoNFo1i8lkAmqPga+vL7GxsWzevBmz2UxJSQm7du264hvwpna139tLCQgIoH379ixdupQRI0Y0SU69Xs/zzz//h+v16tWL6dOnk5WVZSkO4+LiWLFiBaWlpQBkZ2df9oOAxggICGDKlCm89tprnD59mtjYWBITEykpKcFsNrNp0ya6d+9OcXExhw8f5oYbbuChhx4iNDSUnJycJs+nVomJicTGxpKfn8+pU6cuuc7q1aulkBKtQos5M6XRaCwt0i9cMnEt27r++uvZuHEjfn5+eHt7Wyll6+Xm5kbXrl2JiYkhJyeH9PR0fv31V4KDg4mIiECv18sNtUK0QNu3b2fIkCF1lg0ePJi5c+decv3w8HDuvfdepkyZAtSe7Z8+fTpTpkxhwYIFrF69mqqqKqKjo63agGL8+PEoikJ1dTU33HADo0ePxt7enkcffZQZM2ZQXV1NVFQU//znPy2vWb9+PWvWrKGqqopHH30UDw8Pq+UBmD59Orm5uXh6evL000/j4+PDqVOnePjhh9FqtYwePZrw8HCrjnk1rvZ7ezn9+/dHo9EQGBhozXiN4uDgwIwZM5g8eTIGg4FbbrmFgoICnnzySWpqanB1deXJJ5+06pjdunXj3nvv5cUXX2TOnDncddddTJo0CbPZTFxcHMOHD6ekpIQvvviCt99+GwcHB7p27Up8fDwajabJ86nR9u3bGTp0KH5+fmzfvp0xY8bUW+fOO+9k4cKF+Pn5UVxczHvvvcfevXtxdnbmlltu4d577+Xs2bO89957JCUl4ebmxrhx4+jfv78N9kiIy9MoLWiioaNHj1JcXGy1P9AnT57k119/bbPt0q9VeXk5x48fJyMjA51OR3h4OKGhoU1yGYgQwjri4+PZvXu3rWNcVmhoKJmZmbaOcUlqzgZNl+/FF19k+PDhXH/99Y3ehpqPnZqzgfr/zf5eRUUF48aN46OPPuLYsWP85z//4b333qt3z9TFxdSzzz5LeHg49913HwUFBezYsYMxY8Ywffp0QkJC+Nvf/kZmZibTp09nwYIFDfoQ/NSpU1d9NVNlZWWTvoex9vbHjfmuwesu+fwOq43b0o6TNcaIjIy87HMt5swU1N43lZqaarXtBQcHk52dzd69e6/pj0Rb5ezsTKdOnTAajeTl5ZGens6hQ4fw9/cnIiICX19fOVslhBAtWHZ2NpmZmcTHx9s6imghdu3aRc+ePXFwcKBTp05UVFRw8uTJy35onZ+fT3JyMi+++CL29va4uLgwZswYCgsLSU5O5t///jc6nY7o6GhiYmI4cOAAAwcO/MMcf9QZ8lLS0tKu+Kb5WjX19q/EmuO2huNkzTFaVDHl4eFBTU0NpaWlVuvEJ+3Sr51Go8HX1xdfX1+qqqrIzMzk119/pbq62jIhsIuLi61jCiGEuEoBAQEsWbLE1jFEC7J9+3b27t1LYmIiAGVlZWzbto2hQ4decv38/Hy8vLzqFVt5eXmUlpZy5513WpYpimLT+xCFuJQWVUxdeNN+5swZq12Hbm9vT+/evfnxxx+lXboVODg4EBUVRWRkJEVFRWRkZLBhwwa8vb0JDw8nMDBQOigKIYQQrVBZWRlHjhzh/ffft1yZkpWVxaJFiy5bTHl7e1NUVER1dXWdgkqv1+Pu7m5pNiKEWrW4d7UXiilr0uv1dOzYkcTERMxms1W33VZpNBr0ej09e/Zk5MiRtG/fntTUVFatWsWvv/5KSUmJrSMKIYQQwop27dpFp06d8PX1xWAwYDAYiIuLo7i4mIqKiku+xmAwEBERwUcffUR5eTm5ubmsWLECg8FAeHg4ixYtoqSkhNLSUpKSklR9f5tom1psMWXtvhnR0dEA0i69CdjZ2REWFsbgwYMt1zn/8MMPbNmyhePHj1NTU2PbgEIIIYS4Zj/++GO9++s0Gg1xcXEsX778sq+bMmUK2dnZ/O1vf2Py5MmUlZVZlhcVFfHwww8zduxYli9fjp1di7qoqknp9Q27haKh64nGaXE/kRdmHT9//jzu7u5W265Wq6VXr17SLr2JeXh40K1bN7p06UJ2djbp6ens27eP9u3bExERgZeXl60jCiGEEKIRXnjhhUsuf+aZZwCYNGmSZdmFrn5Qe3ZqxowZ9V7n5eVlea2o77v1E+sts2WTi7aqxRVTF983Zc1iCsDFxYW4uDgSEhIYNmyYtEtvQjqdjuDgYIKDgykrKyMjI4OffvoJR0dHwsPDCQkJwcHBwdYxhWgyt9xyC/n5+c0+7qlTp655rr6mVFFRodp85SVnaO+n3k94qxQX1R47NX9f1ZwNkPuMhVC5FldMQe0nGLm5uXTo0MHq227fvj3Z2dns27fPqhNOistzcXEhJiaGzp07k5ubS0ZGBgcOHCAwMJCIiAh8fHykxbpodfLz820yd4za59RRc772fi4kvh9l6xiX1fuJQtUeOzV/X9WcDZC29EKoXIsspnx9fTl48CCKojTJm+wePXqwceNGTpw4Qfv27a2+fXFpGo0Gf39//P39qaioIDMzkz179qAoiqXFupOTk61jCiGEEEIIAbTQYsrNzQ2dTkdJSQkeHh5W3769vT29evVix44deHt7yxxJNuDk5ER0dDQdO3akoKCAjIwM1q5di6+vL+Hh4fj7+8ulD0IIIYQQwqZaZDEFv13q1xTFFNTOexAVFUVCQgIDBgyQN+42otFo8PHxwcfHh+7du3PixAkOHz7Mnj17CAsLIzw83NKURNhWWVkNacdLa88khrji4S73HAohhBCidWuxxZSvry+nT58mKqrprl83Go3k5uaSkpJCp06dmmwc0TD29vZEREQQERFBcXExGRkZbNq0CS8vL8LDwwkKCkKn09k6Zptz9lw1c98/yi/7ilEUBUUBrRZioj2Y9EgUfga5NFMIIYQQrVOLPd3SVPNNXUyr1XL99deTmppKYWFhk40jrp6npyc9evTgtttuIzw8nPT0dFatWsXevXs5e/asreO1KsePH0ej0TBgwIB6z91779/xbOfAd9//SMIP0zhXUkPSjpkc3vspP/9SyMOT93I6p9wGqYUQQgghml6LLaZcXFxwcHBo8jfOrq6u9OjRg127dsnksiqk0+kICQlh4MCBDBkyBDs7O7Zv386mTZtIT0+nurra1hFbBScnJ1JSUup0vCotLWXt+m0AODr7Y4x/qd7rCgqreP61w82WszVISkpi+PDhfP/995ZlY8eOJTc3F4Dx48fbpKW6NaSnp/P444/z0EMP8dJLL1FaWmrrSBZqzgZQUKLj0Q/9bR3jktR+7NScT83ZhBAN02KLKfjt7FRTCwkJwcfHh3379jX5WKLx3Nzc6Nq1KyNGjKBz585kZ2ezatUqfvnlFwoKCpr0LGZrp9PpuOeee1i2bJll2dJPv8LLty8AZ/P3sXfb/fVel35oPiu/+AeHk89QVVXFU089RVxcHN26deP+++/n3LlzzbULLca2bdsYMGAAW7duveTzixYtwsfHp3lDWcmsWbOYOHEiixcvxmg08tlnn9k6koWas63Y7cZL3/hQXqXOP9lqPnag7nxqziaEaBh1/mZuoOYqpqC2XXpubi4nT55slvFE42m1WgIDA+nbty+33HILbm5uJCQksH79elJTU6msrLR1xBbp73//O0uXLrU8Xrz4I/za33zJdRXg2IG3qSzPpWPcqxw+Ws1rr72GnZ0de/bs4ddffyUwMJCpU6c2U/qWobq6moSEBCZMmMCJEycsZ6MuNmLECMvX27Zt45FHHuGBBx7gmWeeoaSkhLy8PP7973/zyCOP8Mgjj/DLL7805y5cVm5uLoqiYDQaARg0aBAJCQk2TlVLzdkARsWfZ97Y+j8LaqD2Y6fmfGrOJoRouBbbgAJqi6k9e/ZgNpubvNuevb09vXv3ZseOHej1emmX3kI4OzvTqVMnjEYj+fn5pKenc+jQIfz9/QkPD8fPz08mBG6gnj17otPp2L59O87OzhQVFRIaEn7JdU+nf0V1ZTHdb1yMVudAjcnMqlWrKC4uZuPGjQBUVVXh6+vbnLugenv27KFDhw54enrSq1cvtm/fzp///OdLrpuVlcVHH33EnDlz8PLy4tChQwDMnTuXcePGERkZSV5eHk899RSffPKJzTuSFhQU4OnpaXns6elJQUGB7QJdRM3Z1E7tx07N+dScTQjRcC26mHJycsLZ2Zni4mL0en2Tj+ft7U1kZCSJiYkMGDBA3oS3IBqNBoPBgMFgoKqqiqysLPbv3091dbWlxfqVCmSzWWHP/mK+WX2K4rPV+Po48ufbg4mJdm+VPwcmk4mSkhJKSkpISUnBbDazfv16unfvzpw5c/D19eWWW24lo/DSb9DbeXfD3asrR399jb43vU9UuBsmk4l58+YxfPhwAM6fP09FRUVz7pbqbd26lb59ay+d7NevH5988slli6l9+/bRq1cvvLy8AIiJiaGiooIDBw7w+uuvW9YzmUzN9jvyj1xc0Gk0GlXdh6rmbGqn9mOn5nxqziaEaJgWXUzBb5f6NdcbhU6dOlnapV84NS9aFgcHByIjI4mMjESj0dChQwdMJhP29vaYTCb0ej0LFiwgPj4egDP5lTz5/K8Una2m5Pxvf+h+2VdEoL8Tc16KxcOtZc6pVF1dTUlJCefOnavzX3l5OS4uLnh4eKAoChqNhuuvvx6j0Ujfvn3x9vZmy5YtPDkj/ZLbdWsXTUDYnRTm7OB4ykfExX7IzTffzPz58y2NQsaPH4+bmxuLFi1q5r1Wp4qKChITEzl06BBffvklAPn5+WRlZV1y/UvdA2gymXBwcFDlMdXr9RQXF1seFxUVqaLAA3VnUzu1Hzs151NzNiFEw7WKYio9Pb3ZChutVkuvXr3YtGkTfn5+lk+FRcu1a9cuPD09OXnyJBkZGXzyySc8+OCD/Pjjj9jZuTBxyl5yztS/z+pcSQ3nS8/zz2m/suTtnuh06j1DVVVVVa9gOnfuHJWVlbi7u+Ph4YG7uzthYWG4u7vj5uZmmbPrQmt0Ly8vvLy86NSpE+3atUOv1/PsE/YsfffSY2o0Grr3eZY9Wx9k586HmT59OpMnT6ZHjx6YTCa6d+/OW2+91YxHQd127dpF165defHFFy3L/vOf/7Bt27ZLrh8bG8s333zD3XffjV6vJyMjA4PBQGhoKN9++y133nknJpOJpKQkrrvuuubajcvy9/dHURRSUlKIjo5m8+bNxMXF2ToWoO5saqf2Y6fmfGrOpga5ublMmDCBb7/9tkm2f8fN71FYWPaH6+n1Lny3fmKTZBCtQ4svpgwGA4mJic1y39QFrq6udO/enV27djFs2DDs7Fr8YWzz7OzsCAsLIzg4mC+//BIPDw+2bt1K0mFndm1ZQGFeEhqNFjfPToTHPIadnQvZx1eQk7mSX+3s2fdjOz7/bAmdO3fm1KlTPPbYY2RlZVFdXc1f/vIXnn322SbfB0VRqKioqFMsXTjrVFNTg4eHh+U/X19fPDw8cHFx+cN/N2FhYZw/f97y+MI9TwDGKHd+PVTEv99IJixqKOdLa4jqPg1XFx2OjjqefnQA/VcWW9Z/993LVF6C7du3M2TIkDrLBg8ezNy5cy+5fnh4OPfeey9TpkwBwMvLi+nTpzNlyhQWLFjA6tWrqaqqIjo6WhXFFMC0adOYN28eZWVlBAcHM2nSJFtHslBztrX7XEk85gzAi1/70KdjOcO6qqeFtpqPHag7n5qzWdPYsWMtUzo4Ojpyww038MQTT+Dg4GCzTA0ppK5mPdF2aZRW0C96w4YNxMXFNXu74ISEBHQ6neVyMNHyaDQaunTpgkajIT8/HycnJ0aOHMnzzz+Pj48PMXEPkZd7jI5xM9BotKTtfwONxo4OXZ9k59pbiB/8BQ5O3tibtjPmDj8efvhhBg8ezFNPPcVtt91GRUUFt956KxMmTODuu++2SmZFUSgrK7vkmSatVms5y3Rx8eTs7Nyk93aZzQq79xWRsLcQxQzdYtrRt5cPdio+W2dr8fHx7N69u9nHDQ0NrTNfmNqoOV97PxcS34+ydYzL6v1EIZmZJ2wd45LU/H1Vczaw3e8Kaxo7dizPPfccHTt2pLCwkJdffpkBAwYwatSoy76mqc9M3Xjdmw1ed/svk60yZlpaGpGRkVbZVmseo6XtQ6s4pWIwGDhz5kyzF1M9evRg48aNnDp1iqCgoGYdW1jPli1b8PHxISkpiVtvvZVBgwZZusxln9xFcOSDaLW1/1QCwu4ieffzaDQ6fAIGsP+nR/Hy7U1YZB8efPBBSktL2bZtG4WFhUyfPh2obbSwb9++qy6mzGYzpaWl9QqmkpIS7O3tLYWSl5eX5fI8Jycn6x6cBtJqNVwfp+f6OLneXwghxOXp9XpiYmIsZ6oOHDjAwoULycnJoVOnTjzxxBMYDAag9sPDjz76iM2bN6PRaJgwYQJ9+vSxZXwh6mkVxZSfnx9Hjx5t9nEdHBzo1asXP//8M3q9Hmdn52bPIKwnLi6OuXPncv/999OjRw/CwsJAMdddSTFjNtc2oejY43lKz6VzNn8PRw8uZcyYX1i8eDGKovDzzz9bugNeOON1ORc65/2+YDp//jxOTk51Ls2LjIzE3d3dppdGCCGEEI2Vl5fH3r17efzxxykpKeHll1/m6aefpkuXLvz3v//l9ddf5803a88aVVdX4+Pjw8KFC0lOTua1116je/fuMj2NUJVWUUz5+Piwa9cuTCaT5ab55hw7IiKCxMREbrzxxlbZJrstGTNmDEuWLOGpp57i22+/pUu3ASQfWYmHd3c0Gi3Zmd/haYinuqqYfdvH063fQtpH3U387X345ovn8PDwoHfv3syZM4fnn3+e4uJi+vbty4wZM7j77rsv2znP1dXVcnleUFCQ5Wu5H08IIURrcOF+sJqaGvz9/Tl37hwnTpwgOjracrvEvffey7fffkteXh5Q+6H1yJEjgdq5Dv38/EhOTm5Qo45Tp05RXl5ulexpaWlW2U5lZaXVttWax1DjPlzpksBW8U7NwcEBd3d3CgsLLaeGm1Pnzp3ZsmULqampREdHN/v4wrrmz59PbGws69ev5/33XubW2//Bvu0PoSgm3D2NRHR5HDt7d9pH/Y2Du/6Fvb0T5094WNpRf/jhh/zzn/8kOjqayspKBg0aRLt27Vi5cmWde5nCwsLw8PDAzc3N5hOqCiGEEE3prbfeomPHjiiKwpEjR3jxxRf505/+hLe3t2UdnU6Hl5cXBQUFl+yW7OHhQUlJSYPGs+btF9a6t6al3QtkqzFa2j60imIKfptvyhbF1IV26Zs3b8bX11fapbcgl+q/cqEIumDu3P+w6NPjdeaYAvAPvZ2oznfwwD3t6BBSzblz51i5ciUmk4lnnnmmTgOIhnbOE0IIIVozjUZD586dCQkJwcvLiwMHDlieq6mpoaioCG9vb8xmc73XnjlzxnJPsxBq0aqKqeTkZGJiYmwyvpubG927dychIYGhQ4fK5VmthKIo3DzQE0/3AJYuz+F0TjWgYDYrBPiauGWgjg4h1bi7uxMcHIy7u3uTd84TQgghWqrq6mr27NlDVlYWsbGxLF68mMTERGJjY/nvf/9LREQEBoOB3NxcTCYTWVlZBAQEsGHDBjQaDR07drT1LghRR6t5x+/j40NRURE1NTU2K2RCQkLIzs7m119/pWfPnjbJIBrHbDZz/vx5SkpKOHv2rOXepos75z3+gAeOTgbs7N0I8PPE3V0ajojGKygoIDQ0tNnHLS85Q3s/9d68XaW42OS4NEQV7vR+otDWMS6roqJKtceuoqJCsjVSa7mi4amnngJq9yc8PJypU6fi5+fH888/z8KFC8nOzqZz586WufMueP311zl16hRhYWFMnz692e+NF+KPtJpiyt7ennbt2lFQUICfn59NMmg0GuLi4tiwYQOnT58mMDDQJjnE5V2qc965c+coLS3F2dnZck/Thc55Hh4e2Nvb2zq2aIW8vb1tMndMy5grSZ1z/qh9PiI155Nsjdca5rL8+OOPL/tc165dLzmhu5+fHytXrmyyTHq9S4Mm5NXr1fvhk1CHVlNMwW/3TdmqmILf2qXv3LmTYcOGSbt0G6murv7DznkeHh4EBwdbmkDIpZlCCCFE2/Dd+on1ljVH4wPR+rSqd4++vr4cPHjQ1jEwGAxERETwyy+/0LdvX1JTU2nfvj1ubm62jtbqVFZW1puf6dy5c1RWVkrnPCGEEEII0aRaVTHl7e3N2bNnqa6utvmlWZ07d2bjxo2sWrWKyspK7OzsiIpS76U1aqYoChUVFfXOMp07dw6z2VynaPLz88PDwwNXV1dpAiGEEEIIIZpUqyqm7Ozs8PLyIj8/n4CAAJtmyczM5Pz585hMJgCKiopsmqclUBSFsrKySxZNWq3WUjBJ5zwhhBBCCKEGraqYgt/um7J1MXX69Ok6cxgVFxfXW0cxm6kpKQWNBjv3tnMm5ULnvEtdnufg4GApmvR6veXyPEdHR1vHFqJJDR8+nODgYKB2rpWbbrqJMWPGXPE1b731FrGxsQwbNqw5IlpFQYmOGcsNvPtAjq2j1JGens7bb79NWVkZISEhTJo0CVdXV1vHslBzPjVnA3XnU3M2IUTDtMpiat++fbaOQd++fTlz5gxJSUmWggGgKr+Q4ws/J/ur1VTlF4EGUACNBkdfb4L+OoqQB+/G3tPDpvmtoaGd8/z8/IiKipLOeaLNW7RoEQClpaXcf//93Hbbba3qXssVu9344ZAr5VXqu29x1qxZTJ48GaPRyFdffcVnn33G+PHjbR3LQs351JwN1J1PzdmEEA2jvr9o10iv11NSUkJVVZWto+Dr68vNN9/M9ddfj5OdPUeefZOtXYaTNmsB548coyqvkKozhf/7fwElB1NJfWEeWzrdRNprC1H+d4mg2lVXV1NYWMjx48fZv38/O3bsYM2aNXz77bfs2rWLkydPAhAcHEzv3r0ZNWoUt956K/3796dbt26Eh4fj7e0thZQQ/5Ofn4+Pj4+lG2hCQgKPPPII48eP54033qC8vNyybkJCAk8++ST3338/y5cvt1XkBhkVf555Y3NtHaOe3NxcFEXBaDQCMGjQIBISEmyc6jdqzqfmbKDufGrOJoRouFZ3Zkqn0+Ht7U1+fr4q5nnSaDQEuHqQOeMDMjNPYiqruOL65soqzJVVpL3+PtnfbKD3xo+xb+feTGmv7Ped8y5cnied84SwjvHjx2MymcjPz6dfv36WFv/z589nzpw5GAwGFi9ezOeff864ceOA2sY706ZNo7y8nEceeYT+/fvbdHqIlqigoABPT0/LY09PTwoKCmwX6HfUnE/N2UDd+dScTQjRcK2umILa1uS5ubmqKKaqz53n5xv/Qln6CTCbG/w60/kySg4ks3PAGPruXI7O2akJU/7mjzrnXWgAIZ3zhLC+C5f5VVVVMX/+fJYtW0ZMTAwdO3bEYDAAMGzYMN566y3LayIjI9HpdLi5uRETE0NaWpoUU41w8Qc/Go2GmpoaG6apT8351JwN1J1PzdmEEA3TKospX19fkpKSbB0DgP0PP0t55qmrKqQuUGpMlKZlcnjyq3R990Wr5lIUhdLSUkpKSjh79myde5su1TnPw8MDJycnKZqEaAYODg7069eP1atXExMTU+/5i5vbXKympkYul20EvV5fp0lQUVERer3edoF+R8351JwN1J1PzdmEEA3XKospvV5PaWkplZWVNu0CV7hjNwU/7ESpbvwnTebKKrK/XkfoP8bgEWu0LK+uriYjI4PIyMgrXkp3qc55Fy7Pk855QqhTdXU1O3bswGg0Eh0dzfz588nLy8NgMLBhwwa6d+9uWbeyshKAM2fOkJqayuOPP26j1C2Xv78/iqKQkpJCdHQ0mzdvJi4uztaxLNScT83ZQN351JxNCNFwrbKY0mq1eHt7k5eXZ2k1bAuHps/hL3l7idA48qKuNsd+cxkLzWd4zy6MT035BGgcGKK9cue+6oJijr78Lj2/+g9Qe531Tz/9REVFBX5+frRr10465wnRCowfPx5FUaiuruaGG25g9OjR2Nvb8+ijjzJjxgyqq6uJiorin//8p+U169evZ82aNVRVVfHoo4/i4aHeTqBr97mSeKy2qcaLX/vQp2M5w7qW2jhVrWnTpjFv3jzKysoIDg5m0qRJto5Uh5rzqTkbqDufmrMJIRqmVRZT8Nt8U7YqpmpKzrNu7y9EaBw5qlRyQqmkvabuGZ+/6nwavL2CH3+hpqqKIykppKSkYDab0Wg0JCYmUl1dTVlZGW5ubpYzTRcuzXNzc8POrtV+m4VoNdauXXvZ52644QZuuOGGestb2huv4d1LGd5dHcXT73Xo0IF33nnH1jEuS8351JwN1J1PzdmEEA3Tat9l+/r6kpiYaLPxz+47wqqyXPpp3PDHnhXmYh7T1b0pfK4ph1CNA3dp9aQo5bxvyqMCM/ZoGKc10E3rwgmlkg/MeZTkn4Sojgy9dTiDBg0Cau+buHDTuXTOE0IIIYRQhztufo/CwrI/XE+vd+G79RObIZFoKq323benpyfl5eVUVFy5FXlT2bt5K4erz9NP484QbTu2KOc4p1x63qgaReFl02nGaPW8ZxfGP3V+fGA+Q7Wi8Kopm7FaH95x6sCKf7/O5s2bKS0txcHBAY1Gg8lkwsPDQwopIYQQQrQ4Y8eOJTU11dYxrK4hhdTVrCfUq9WemdJqtRgMBs6cOUNISEizj//JD+u5XuOKh0aHBzr8sGedchYj9VucH6cSLRqu07oBEKlx4l27MLKUSrKpZp4pF0pzcf73VKq1UFFRwahRo+p0ARJCCCGEUIOpU6dy4MABzGYzX3zxBe3atbN1JCGaTKstpuC3+6aau5gqLS1lxZ6daJVKxtWkA1CGmVXmIqK0/vXW16Hh9w3Hjyu1Hbpc0fIfu1B0bq70eO8tiO9Mu3bt0Gg0eHl5NfWuCCGEEEJclddeew2A4cOH2ziJEE2v1RdTaWlpzT7usmXL0Ou9WeAegKmgGIDziolxpgzOUv9Sv2Ds0QB7zaX00LqSplTwgukUH+kicEDDFvM5bnbWc87gQZ8uXfjuu+/o27dv8+6UEEIIIUQj5OXlMW/ePI4cOYK/vz8TJkyga9eulud37drFvHnzyMnJYdiwYUyYMAGAt956C0VRyM/PJzU1FaPRyHPPPYerq6utdkWIelp1MdWuXTtLpzsXF5dmG3fBggVMenoyutc+t5RObhodt2k8WWEuqre+vUbLs7pAFpnOsMScjx3wrC4Qe42G53VBfGA6wzf5+3Ec+1dmzpwphZQQQgghWozXX3+dHj168Pzzz7N//35mzpzJ//3f/+Hu7g5AdnY2//73vzGbzTz22GMMGTKEqKgoADIzM/nnP/9JcHAwM2bMYN26dfzpT3/6wzFPnTpFeXn5VeWsrKy0yYfw1hyzOfahqcdQ4z5ERkZe9rlWXUxpNBrLfVNhYWHNNu7evXsBOHC0iKz3PwdFAeBvOh/+xm/t0J/S/XbJX5TGidl29S9HjNA48rpzOAGP/Y3yO27E2dmZPXv2YDKZsLe3p0ePHk28N0IIIYQQjVNVVUVGRgavv/46Op2O66+/nujoaBITExkyZAgAd955JwaDAahtF3/y5ElLMTVgwAA6duwIQI8ePTh58mSDxg0KCrrqrGlpaVd809xUrDlmc+xDU4/R0vahVRdTgE2KqQuipk0gZ/laqvLrn426GvZe7fD6++0cPXywzvILn+gIIVqegoICQkNDm33cKtzp/URhs4/bUOUlebT3a74rCa5GleJik+9ZQ1VUVKg2n2RrvJberbegoAAvLy90Op1lmY+PDwUFBZdc39HRkZqamqt+TghbafXFlJ+fn81abjoF+tHx30+Q/Oyb1Jw736ht2LVzJ2bedAK7dKba0Z5ff/0Vs9kM1LZ/r6qqwsHBwZqxhRDNwNvbm927dzf7uKGhoWRmZjb7uA3V3s+FxPejbB3jkno/UajqY6fm761ka7z4+HhbR2iUC0WPt7c3RUVFmEwmS0GVn59Ply5dbBlPCKtp2R93NIC7uzsmk4nz5xtXzFyrkIf/gv+fbkHrdvWftNq1cyfkobsJHF3bDScyMpLg4GA0Gg2Ojo5oNBrWrFnDvn37KCuTeQqEEEIIYVtnzpyhpqaGHTt24O3tjcFgICwsjM8//5yKigoSExNJSUnh+uuvt3VUIayi1Z+Zuvi+KTc3N5uM7/viY2SVFOH4w26qC8826HX23p50mPIPOjw1rs62rrvuOkpKSoiKiiIsLIzS0lJSU1PZsGEDgYGBGI1GPDw8mmp3hBBCCCEu6+233+bAgQMEBATw9NNPA7XzTs2bN497772XgIAApk+f3upvVdDrXRo0Ia9er87LmkXDtfpiCmpbpOfl5REREdHsY5eUlJCYmEifd17EMaeQAxOmU5qeRU3RWRSTuc66Gjs77Dzdce8cSezCl3GNCqu3PZ1Ox9ChQ9FoamemcnV1pUePHnTu3Jm0tDS2bNmCt7c3RqMRHx+feq8XQgghhGgqs2bNqrfMYDDw8ssvX3L9jz/+uM7jF1980fL1pEmT6jw3evRoKyRsHt+tn1hvma0aXIim1WaKqcOHD6MoiqUIaQ7V1dX89NNPxMTE1HapMRjo+9NXlGWcIHfNVgo2/0z5iWzQaHAJC8Z7yA34jRiMc3D9iX0vdql9cHR0JCYmhujoaDIyMkhISMDZ2Rmj0UhAQECz7rcQQgghhBBtQZsopi5c3nf+/PlmO62sKAqJiYl4e3vToUOHOs+5hLcn/NG/Ef7o36w+rp2dHVFRUZbWogcPHmT//v0YjUZCQkJafFcgIVqz5557jhMnTuDv78/s2bMvu97w4cNZu3ZtMyazjvT0dN5++23KysoICQlh0qRJqpp8s6BEx4zlBt59IMfWUepR87FTczZQdz41ZxNCNEybeGet0Wjw9fXlzJkzzTbm4cOHqaioIC4uziZnhbRaLSEhIQwbNozu3btz/Phx1qxZQ2pqKtXV1c2eRwjxx1555RUmT55s6xhNZtasWUycOJHFixdjNBr57LPPbB3JYsVuN176xofyKnX+WVTzsVNzNlB3PjVnE0I0jDr/ajSB5iymTp06RXp6On369Kkzr4ItaDQa/P39GThwIH369CE/P581a9Zw4MABKioqbJpNCHF5JpOJBQsWMH78eB5++GE2bNhQ5/kPPviARx55hPHjx5Oeng7Axo0b+de//sW0adN44IEHePnlly1TKdhabm4uiqJgNBoBGDRoEAkJCTZO9ZtR8eeZNzbX1jEuSc3HTs3ZQN351JxNCNFwba6YUhSlScc5d+4cu3fvpk+fPjg7OzfpWFdLr9fTp08fBg8eTGVlJevWrWPPnj02axsvhLi8tWvXUlxczPvvv8+cOXNYvnx5nblwevfuzYIFCxg5ciTLly+3LDeZTEyZMoX/+7//Iy8vj19//dUW8espKCjA09PT8tjT0/Oyk3aKutR87NScDdSdT83ZhBAN12aKKVdXV+zs7Dh37lyTjVFVVcVPP/1EbGws3t7eTTbOtXJ3dyc+Pp6bb74Ze3t7Nm3axM6dOykqKrJ1NCHE/+zdu5dBgwah1Wpxc3OjV69edQqj2NhYAMLDw+u8AQsJCcHT0xOtVktoaCj5+fnNnv1yLr5nU6PRWCb1FH9MzcdOzdlA3fnUnE0I0TBtogHFBRfOTrVr187q2zabzezatQs/Pz/Cw8Otvv2m4OzsTGxsLJ06deLYsWPs2LEDDw8PjEYjvr6+0gFQCBswm82X/LenKMolz6xrtdrLnnFXU8MZvV5PcXGx5XFRURF6vd52gVoQNR87NWcDdedTczYhRMOp5y9tM2jK+6YOHjyIyWSie/fuTbL9pmRvb4/RaOTWW2+lffv2JCUlsWnTJk6cOKGa+y2EaO1MJhMAGRkZ+Pr6Ehsby+bNmzGbzZSUlLBr1y7L2aiWyN/fH0VRSElJAWDz5s3ExcXZOFXLoOZjp+ZsoO58as4mhGi4Nndmau/evVafb+rEiRNkZWUxdOhQVX0SfLV0Oh0RERGEh4dz+vRpkpOTOXDgANHR0YSFhdm8mYYQrdn06dPJzc3F09OTp59+Gh8fH06dOsXDDz+MVqtl9OjRLeas9+VMmzaNefPmUVZWRnBwcL0JOW1p7T5XEo/V3uf64tc+9OlYzrCupTZO9Rs1Hzs1ZwN151NzNiFEw2iUpu7IoDJr166ld+/eeHl5WWV7xcXFbNu2jRtvvNFq21QLRVHIz88nOTmZoqIiy/xVDg4Oto4mRIsXHx/P7t27m33c0NDQOo0s1Ka9nwuJ70fZOsYl9X6ikMzME7aOcVlq/t5Ktsaz1e+KtigtLY3IyMgWu/3WMkZL24c2dWYKfrvUzxqFT2VlJT/99BPdu3dvdYUU1N4MazAYMBgMnD17luTkZNasWUNYWBgdO3bExcXF1hGFEEIIIYSwmZZ7TVojWeu+KbPZzM6dOwkODiY0NNQKydStXbt29OrVi2HDhqEoChs2bCAxMbFJuyMKIYQQQgihZm2umDIYDOTn519zY4X9+/ej0Wjo2rWrlZK1DK6urvTo0YPhw4fj6urKli1b2LFjh6raLwshhBBCCNEc2txlfk5OTjg7O1NcXNzoFqTHjx/n1KlTLb7hxLVwdHQkJiaG6OhoMjIySEhIwNnZGaPRSEBAgLRVF0IIIYRq3XHzexQWlv3henq9C9+tn9gMiURL1SYrAV9fX3Jzcxv12sLCQn799Vf69euHo6OjlZO1PHZ2dkRFRTF8+HAiIyM5ePAg69ev5/jx49JWXQghhGjDKioquPPOO3nsscdsHaWehhRSV7OeaLvabDGVl5d31a+rqKjg559/pmfPnk0y8W9LptVqCQkJYdiwYXTv3p3jx4+zZs0aUlNTqa6utnU8IYQQQjSzxMREYmNjyc/P59SpU7aOI0STaHOX+UHtfVOJiYmYzeYGX6ZnMpn4+eefCQ0NJTg4uIkTtlwajQZ/f3/8/f0pLCwkOTmZI0eOEBERQVRUFE5OTraOKIQqFBQU2KR5TXnJGdr7qbcTZ5XiQu8nCm0d45IqKqpU3XCooqJCtfkkW+O15NsJtm/fztChQ/Hz82P79u2MGTOG3Nxc/vGPf3DXXXexfv16FEXh8ccfZ//+/Wzbtg2tVsukSZPo3r078+bNw93dnXHjxgFQVVXFfffdx7vvvouvr6+N906IWm2ymHJ0dMTNzY3CwkJ8fHwuu57JZEKr1aLRaNi3bx/29vZ06dKlGZO2bHq9nj59+lBSUkJKSgrr1q2jffv2REdH4+bmZut4QtiUt7e3TeaOUfM8TqDuuZzUPh+RmvNJtsaLj4+3dYRGqaio4PDhwzzzzDP4+Pjwn//8hzFjxgBQXV2Nu7s7H3zwAZs2bWLmzJk88MADfPDBB2zcuJEPP/yQefPmMWjQIN566y0eeOABNBoNCQkJRERESCElVKVNFlPwW4v0KxVTW7ZswdHRET8/P86cOcOQIUOksUIjuLu7Ex8fT0xMDEePHmXTpk34+flhNBpb5fxcQgghRFu3a9cuevbsiYODA506daKiooKTJ09ib2+Pg4MDd955JwBxcXE4OjoyevRooLZ4XLZsGYClY/KhQ4fo0qULP/zwA4MHD27Q+KdOnaK8vNwq+5KWlmaV7VRWVlptW615DDXuw5Um+G3TxVRqaiqdO3e+5PMmk4ni4mIURSE7O5sbb7wRBweHZk7Zujg7OxMbG0unTp04duwYO3bswMPDA6PRiK+vrxSqQgghRCuxfft29u7dS2JiIgBlZWVs27aNoUOH1lnPwcEBRVEsj+3t7ampqQFqbx0YMGAAW7ZsITQ0lAMHDjB58uQGjR8UFGSlPbnyG+mrkZaWZrVtteYxWto+tNliysfHh127dmEymdDpdPWeP3v2LFqt1vIP+qeffmLYsGF4eHg0d9RWx97eHqPRSFRUFJmZmSQlJWFnZ4fRaCQoKKhFXx8uhBBCtHVlZWUcOXKE999/3/JBaVZWFosWLapXTP2RwYMHM2XKFEJDQ+nZsyeurq5NEVmIRmuzxZSDgwPuHp6knTyHq7snOg20cwEXx9p/9Hl5eZZCSqvVEhAQIGemrEyn0xEREUF4eDinT58mOTmZAwcOEB0dTVhY2CWLXCGEEEKo265du+jUqVOde5t8fHwoLi6moqLiqrYVFhaGt7c3S5cu5emnn7Z2VCGuWZsspkorFZJPKZx378/hXA1KroIG0GrB3Ukhpr2GjIwMoPbUrtFoxMVFvd2vWjqNRkNQUBCBgYHk5+eTnJzMoUOHiIqKokOHDlLECiGEEC3Ijz/+yHXXXVdnmUajIS4ujuXLl1/19gYNGsQ333xDz549rRVRCKtpc8VUTrGZhDSoqgHQgXLRk2YoOA87UxUMoQMYEKbB2VlaeTcXjUaDwWDAYDBw9uxZkpOTWbNmDWFhYXTs2FEKWtEmJCUl8dxzzzFx4kRuu+02W8exuoISHTOWG3j3gRxbR6kjPT2dt99+m7KyMkJCQpg0aZKqLidScz41ZwN151NztmvxwgsvXHL5M888A8CkSZMsy/z8/Pj2228v+xhqOwMOGDDAqles6PUuDZqQV6+X9x7iytpUMVVQolxUSF1etQlySxw5kgNx4c2TTdTVrl07evXqRWlpKampqWzYsIHAwECMRqPctyZatW3btjFgwAC2bt3a6oqpFbvd+OGQK+VV6rsvctasWUyePBmj0chXX33FZ599xvjx420dy0LN+dScDdSdT83Z1EJRFDZt2sTzzz9v1e1+t35ivWXN0fhAtD7q+4vWBDQaDXl5eSSkKZcspN6d+QArl71VZ5nJDCfy4VyZUv8Fotm4urrSo0cPhg8fjqurK1u2bGHHjh3k5+fbOpoQVlddXU1CQgITJkzgxIkT5ObmAjB27FjmzZvHI488wvjx49m6dSsvvPACDz74IDNmzMBkMvHDDz/w0ksvWbaVmprKY489ZqtduaRR8eeZNzbX1jHqyc3NRVEUjEYjUHtJUUJCgo1T/UbN+dScDdSdT83Z1GTfvn04OjoSFaXe+fFE29YmiimAolKo/oMzUr9XZYIjp6SYUgNHR0diYmIYMWIEfn5+JCQk8MMPP3D69Ok6LVWFaMn27NlDhw4d8PT0pFevXmzfvt3yXJcuXViwYAF33nknH3/8MRMnTuT//u//KC0tJSkpiX79+pGcnGz5oGH16tWt7sxWUykoKMDT09Py2NPTk4KCAtsF+h0151NzNlB3PjVnU5MePXrwwQcf2DqGEJfVZoqpozkKa77+gEn3xfL033rw8hM3czor1fJ86oGfeX58P/45OorZz9xBRXkpAP27uDDjhRfo06cP4eHhLFiwwFa7IAA7OzuioqIYPnw4kZGRHDx4kPXr13P8+HHMZrOt4wlxTbZu3Urfvn0B6NevH1u3brU816VLFwCCg4MxGAz4+fkBtXOpFBYW4uDgwJAhQ1i/fr2lwBo4cGBz70KLdfGUDBqNxtLNVS3UnE/N2UDd+dScTQjRMG3mnqmftv/Aik/f5JVFP+HhZWDr6o94Y8pdzPnsAACFead54d3N2Ns7Mu3B3iRu/YYbh/+N6qpKPL18+Pnnn9mzZw99+/blgQcewMlJGlPYklarJSQkhPbt25Obm0tycjIHDx6kY8eOhIeHY29vb+uIQlyViooKEhMTOXToEF9++SUA+fn5ZGVl1Vnv9/OwabVay9nZW2+9lalTp+Li4sKNN96Io6Nj84Rv4fR6PcXFxZbHRUVF6PV62wX6HTXnU3M2UHc+NWcTQjRcmzkztfun9fQZejceXgYABo64n8K8U+RlHwfguhtH4ejkglano31EDGeL8iyvHTFiFABxcXFUVlZSWlra7PnFpWk0Gvz9/Rk4cCB9+vQhPz+fNWvWcODAgauey0IIW9q1axddu3Zl6dKlfPzxx3z88cfccsstbNu2rcHbCAgIoH379ixdupQRI0Y0YdrWxd/fH0VRSElJAWDz5s3ExcXZONVv1JxPzdlA3fnUnE0I0XCt8szU3r17sbOzo2vXrpZPbD3atUP53yzcFopCTU01ADq7385kaDSaOvfhtPNwtiyvfZnco6NGer2ePn36UFJSQkpKCuvWraN9+/ZER0fj5uZm63hCXNH27dsZMmRInWWDBw9m7ty5V7Wd/v37o9FoCAwMtGY8q1i7z5XEY7W/T1/82oc+HcsZ1lUdH05NmzaNefPmUVZWRnBwcJ3WzWqg5nxqzgbqzqfmbEKIhmmVxdSqVatITU1l6dKlJCUlYTAYuPP24Ux+6lFuvftxPLwMbFn1IW7tvPEP/uMWmHY6zR+uI9TD3d2d+Ph4YmJiOHr0KJs2bcLPzw+j0YiXl5et4wlxSTNmzKi3LCYmhsWLF9dZ1qVLF2bPnm15/OSTT9Z5fteuXaptPDG8eynDu6ujePq9Dh068M4779g6xmWpOZ+as4G686k5mxCiYVplMfXYY49x77330qVLF6qrq1m8eDEjR97E9l+e5MXHhqIoZjw8DUx9c2W9+w8uZm+9ueGEDTg7OxMbG0unTp04duwYO3bswMPDA6PRiK+vr+VMoxCtRXZ2NpmZmcTHx9s6ihBCCNEmtMpiysvLi7Vr19ZbPvnJiQwfPZFqU93lj07/sN5jDeDqBGazuc6bbrnEr+Wxt7fHaDQSFRVFZmYmSUlJ2NnZYTQaCQoKumJBLURLEhAQwJIlS2wdQwghhGgzWmUxdTlRAVrKq8ykn6FeQXUxjQbcnGBAJ42cvWhFdDodERERhIeHc/r0aZKTkzlw4ADR0dGEhYWh08mpSCGEEEII0XBtqpgCiA3V0s7FzKGTtZP4Vl1UVOm0YKeFID10C9XIvVKtlEajISgoiMDAQPLz80lOTubQoUNERUXRoUMHHBwcbB1RCCGEEEK0AG2umAIINWgJ8VEoPA+Z+QqV1WCnAx93CPHRoNNKEdUWaDQaDAYDBoOBs2fPkpyczJo1awgLC6Njx464uLjYOqIQQgghhFCxNllMQe0baW938HaXwklAu3bt6NWrF6WlpaSmprJhwwYCAwMxGo14eHjYOp4QQgghhFChNltMCXEprq6u9OjRg86dO5OWlsaWLVvw9vbGaDTi4+Nj63iiFSkoKCA0NLTZx62sNnP9P1KafdyGqlLcbHJcGqKiokK12UDd+SRb47X2Jkm5ublMmDCBb7/9tlnHvePm9ygsLPvD9fR6F75bP7EZEomWSoopIS7B0dGRmJgYoqOjycjIICEhAWdnZ4xGIwEBAdKYRFwzb29vdu/e3ezjtvdzIfH9qGYft6F6P1FIZmamrWNcUmhoqGqzgbrzSbbGa4lTHYwdOxaAJUuWWJo7HT58mEmTJnHffffh7+/Ppk2beO2112yWsSGF1NWsJ9ouKaaEuAI7OztLY4qTJ09y8OBB9u/fj9FoJCQkpNV/YiiEEEI01s8//0z//v0B+P777/H19QVg6NChDB061JbRhLAaeScoRANotVpCQkIYNmwY3bt35/jx46xZs4bU1FSqq6ttHU8IIYRQlZEjR/Ldd98BUFRUxLFjx7juuusA+PHHH3nmmWcu+brvvvuORx99lLKy2jNCK1as4IEHHuDPf/4z77zzDlVVVc2SX4iGkmJKiKug0Wjw9/dn4MCB9OnTh/z8fNasWcOBAweoqKiwdTwhhBBCFbp160ZZWRkpKSmsXbuW4cOH/+HVHD///DMrVqxg5syZuLi4sG3bNtatW8crr7zCkiVLyMnJYdWqVc20B0I0jFzmJ0Qj6fV6+vTpQ0lJCSkpKaxbt4727dsTHR2Nm5ubreMJIYQQNnX77bfzzTffkJGRwdy5c/n4448vu25KSgoLFy5k1qxZ6PV6ADZs2MC9995LYGAgACNGjGDNmjXcddddfzj2qVOnKC8vt8p+pKWlWWU7lZWVVttWax5DjfsQGRl52eekmBLiGrm7uxMfH09MTAxHjx5l06ZN+Pn5YTQa8fLysnU8IYQQwiYGDx7MRx99xMCBA3F1db3sejU1Nbz44osYjUaCg4Mty/Py8pg9ezZvvPEGAIqiNLjzYlBQ0LWFv8iV3khfjbS0NKttqzWP0dL2QYopIazE2dmZ2NhYOnXqxLFjx9ixYwceHh4YjUZ8fX2lA6C4ouHDhzNo0CDLfQSKovCPf/wDT09PZs+ezU8//cTOnTuZPHkyGzduZP/+/UyaNMnGqa/OvLV6ThfbodVAqE81DwwoxtFesXUsANLT03n77bcpKysjJCSESZMmXfHNX3NTcz41ZwN151NzNmtwdHTkscceo2PHjldcT1EUnn32Wd555x2++uor7r77bqC26+mDDz5Ir169miOuEI0i90wJYWX29vYYjUZuvfVWQkJCSEpKYtOmTZw4cQKz2WzreELFsrKyyMvLA2D37t2WlsIAffv2ZfLkybaKZhV9o8t47S9nmHXPGRztzWw6qJ43jbNmzWLixIksXrwYo9HIZ599ZutIdag5n5qzgbrzqTmbtfTv3x8/P78rrmNvb0+XLl2YMWMGy5cvJyEhAYAhQ4bwySefkJGRQXV1NZmZmfz888/NEVuIBpNiSogmotPpCA8P55ZbbqFz586kpqaybt06jh07hslksnU8oUIjR45k5cqVAKxcuZI77rjD8twPP/zAW2+9Ve81J0+e5KGHHiItLQ1FUfj000959NFHeeihh1iwYAGKoo4zPwDxERVoNKDRQLC+hqJS3R+/qBnk5uaiKApGoxGAQYMGWd7MqYGa86k5G6g7n5qz2UpwcDBTpkzhzTffJDMzk6FDh3LTTTfxyiuv8Oc//5lZs2ZRWlpq65hC1CGX+QnRxDQaDUFBQQQGBpKfn09ycjKHDh0iMjKSyMhIHBwcbB1RqMTgwYN55JFH6Nu3L/b29n94zX9eXh4vv/wykyZNIjIyko0bN1JRUcH8+fNRFIWXXnqJnTt30qdPn2bag4YxmeHnVGdGxZfYOgoABQUFeHp6Wh57enpSUFBgu0C/o+Z8as4G6s6n5mzX6nKNJiZOnGj5+sL8U35+fnz77beW5T179uS///2v5fGoUaMYNWqU1TPq9S4NmpBXr3ex+tiidZFiSohmotFoMBgMGAwGzp49S3JyMmvWrCEsLIyOHTvi4iK/sNs6BwcHBgwYwEsvvcTUqVOvuO65c+d47rnnmDhxIp06dQIgMTGR1NRUy6fblZWV5OTkNHnuq/Xpjna0966he2ilraNYXNyyWaPRUFNTY8M09ak5n5qzgbrzqTlba/fd+on1ljVH4wPR+kgxJYQNtGvXjl69elFaWkpqaiobNmwgMDAQo9GIh4eHreMJGxo5ciRZWVnExsZy8ODBy6535MgRoqOj+fHHH+nevTtQexP3+PHj6devXzOlvTqKUltIlVdpGT+4yNZxLPR6PcXFxZbHRUVFltbMaqDmfGrOBurOp+ZsQoiGk3umhLAhV1dXevTowfDhw3F1dWXLli3s2LGD/Px8W0cTNqLX63n++ef/cL1evXoxffp0srKy+PLLLwGIi4tjxYoVlnsKsrOzycrKatK8DVVjgvc3e2Eyw8ODi9Cp6K+Pv78/iqKQkpICwObNm4mLi7Nxqt+oOZ+as4G686k5mxCi4eTMlBAq4OjoSExMDNHR0Rw/fpyEhAScnZ0xGo0EBARIW3VxSQ4ODsyYMYPJkydjMBi45ZZbKCgo4Mknn6SmpgZXV1eefPJJW8cE4HSRHb8cc8LPs4bn/2sAwNleYfpd6vjgYNq0acybN4+ysjKCg4NV13ZezfnUnA3UnU/N2YQQDaNR1NTqSQgBgNls5uTJkyQnJ2M2mzEajYSEhNS5vl60bPHx8ezevbvZx23v50Li+1HNPm5D9X6ikMzME7aOcUmhoaFkZmbaOsZlqTmfZGs8W/2uaItkMlp1jNHS9kHOTAmhQlqtlpCQENq3b09ubi7JyckcPHiQqKgoIiIisLe3t3VEIYQQQog2T4opIVRMo9Hg7++Pv78/hYWFJCcnk5ycTEREBFFRUTg5Odk6ohBCCCFEmyXFlBAthF6vp0+fPpSUlJCSksK6deto37490dHRuLm52TqeEEIIIUSbIzdgCNHCuLu7Ex8fz80334y9vT2bNm1i586dFBWpp9W0EEIIIURbIGemhGihnJ2diY2NpVOnTqSnp7Njxw48PDwwGo34+vpKB0AhhBBCiCYmxZQQLZy9vT3R0dFERkaSlZVFUlISdnZ2GI1GgoKCpAOgEEIIIUQTkWJKiFZCp9MRHh5OWFgYp0+fJjk5mQMHDtCxY0fCw8PR6XS2jiguUlBQQGhoaLOPW4U7vZ8obPZxG6q8JI/2fi62jnFJVYqLTb5nDVVRUaHafJKt8eQDMSHUTYopIVoZjUZDUFAQgYGB5Ofnk5yczOHDh4mMjCQyMhIHBwdbRxSAt7e3TeaOUfucOmqeB6t2Diz1Hjs1f28lW+PFx8fbOoIQ4gqkmBKildJoNBgMBgwGA2fPniU5OZk1a9YQFhZGx44dcXFR56f/QgghREt3x83vUVhY9ofr6fUufLd+YjMkEk1Fiikh2oB27drRq1cvSktLSU1NZcOGDQQGBmI0GvHw8Ljs62pMCvsPn6WouApPD3u6dfHETieNLYQQQograUghdTXrCfWSYkqINsTV1ZUePXrQuXNnjh07xpYtW/D29sZoNOLj42NZT1EUPv/2JF9+d5KqKjOVVWYcHbTY22sYfVsQf/tziHQLFEIIUc/YsWPJz89Hq9Wi1+sZPnw4f/nLX2wdS4gmI3c1CtEGOTo60rlzZ0aMGIG/vz8//fQT3t7eDB48GEVRmLMwjY+/yKSgqIqS0hqqqs2UlNZQWFzNp8tP8MrbKSiKYuvdEEIIoUJz585l5cqVvPLKK6xevZqkpCRbRxKiyciZKSHaMDs7OyIjI/nll1/o2rUrSUlJvPL6Ynbs60RpuemSrykrN/FTQgH7D5+lW4xn8wZuxYYPH05wcDBQO4fYo48+SnR0tI1TWVd6ejpvv/02ZWVlhISEMGnSJFxdXW0dy6KgRMeM5QbefSDH1lHqUfOxU3M2UHc+NWe7VhqNhuDgYKKjo8nOzgbg+++/5+uvv6a8vJz+/fvz8MMP4+DgQEFBAe+88w4HDhzAxcWFQYMG8eCDDwKwYsUKvvvuO86fP0///v2ZMGGCNFISqiLFlBCC999/n7/85S/ExMTw1X/X4RHYkbP5e8lMXoSDsx8VpVlodc4ER97L6YyvKT9/gvszhrE34VPGjx+Pr68vr7zyCgCffvopX3/9Nd9++62N96rlWbRoEQB79uxh7ty5LFy40MaJrGvWrFlMnjwZo9HIV199xWeffcb48eNtHQuAFbvd+OGQK+VV6rxgQ83HTs3ZQN351JztWplMJlJSUjh8+DDjxo1j7969fPPNN8ycORNPT09mz57NF198wd///nc+/vhjgoKCmDJlCoWFhezatQuAbdu2sW7dOl555RXc3d159dVXWbVqFXfdddcfjn/q1CnKy8uvKnNlZSVpaWmN2t9rYc0xm2MfmnoMNe5DZGTkZZ+TYkqINu7w4cPs3LmTr7/+mp49e/L++/3p6TMWgJKzyXTr+hRu7aI4lPAMJ9OW0eWGtzHVlPLLptGcPj2bRx99lFtvvZUXX3wROzs7PvjgA5577jkb71XL1rVrV3Jzcy2P169fz9dff42iKPTs2ZPx48ej0+lYuXIlK1aswGw2o9frmTFjBh4eHixbtoydO3dSWVlJz549mTBhgs3vccvNzUVRFIxGIwCDBg1i2rRpqnnjOCr+PKPizzPu/UBbR6lHzcdOzdlA3fnUnO1aTZo0CUVR0Gg0zJo1i8DAQL788ktGjBhB+/btAfjrX//Ka6+9xt///ncqKyuprKykqqqK4OBgRo8eDcCGDRu49957CQys/Xc5YsQI1qxZ06BiKigo6Kpzp6WlXfFNc1Ox5pjNsQ9NPUZL2wcppoRo4xYsWMDIkSPx9vbG29sbF7dAcrNW4e7ZGSfnANza1c754+QSiJ29G1qtPVoHT+ztXSksLKR79+6Eh4ezevVqOnbsyOnTp7nppptsvFctl6IofP/998TFxQGQkZHB8uXLmTt3Li4uLrz++uusW7eOAQMG8NFHH/HZZ5/h5OREWloaOp2OTZs2UVFRwfz581EUhZdeeomdO3fSp08fm+5XQUEBnp6elseenp4UFBTYLlALouZjp+ZsoO58as52rd566y1CQkKYOHEiaWlpdO3a1fL34gJvb28KC2snEL///vt57733GDt2LAaDgfvuu49BgwaRl5fH7NmzeeONN4Da349qnmBZtE1STAnRhpWWlrJ06VIcHR0JCwsDoKqyiOyMb3HrHo1WZ19nfY1GZ/laq/3tTMejjz7KkiVL6NixIw8//LDNz4K0VOPHj+fs2bP4+/sza9YsAPbv3891112Hm5sbAEOGDGHDhg3ccsst+Pj4MHfuXLp3725ZJzExkdTUVBISEoDaSxlyctRxD5BW+9sldBqNhpqaGhumaVnUfOzUnA3UnU/N2a6Vk5MT//rXv3j++efp0aMHer2e/Px8y/P5+fno9XoAAgICmDlzJjU1NezYsYM5c+bQr18/vL29efDBB+nVq5etdkOIPyTFlBBt2LJly/D29iY1NRWdrrZQ2v5TJkMGxVBdVXzZ17m56HB0+O1NwOjRo5k6dSr79+/nl19+aerYrdaiRYvIzs5m0qRJpKenExsbe9l1dTod8+fPZ8+ePRw6dIilS5fy6quvoigK48ePp1+/fs2Y/I/p9XqKi4stj4uKiixvpMSVqfnYqTkbqDufmrNZS5cuXRg+fDhvvPEG48aN4z//+Q+9e/fG09OTZcuWMWjQIACWLl1Kr169iIiIQK/X4+TkhE6nY8iQIXzyySf4+voSHBzM6dOnOXXqlM3PtAtxMXXeaSuEaBYLFizgX//6l6WQAujfJ4Tr+95H9vHll3yNo4OWzkYP7Ox+O/vk4ODA6NGj6dOnT535qsTVCwgIYMqUKbz22mucPn2a2NhYEhMTKSkpwWw2s2nTJrp3705xcTGHDx/mhhtu4KGHHiI0NJScnBzi4uJYsWIFpaWlAGRnZ5OVlWXjvQJ/f38URSElJQWAzZs3Wy5lFFem5mOn5myg7nxqzmZN999/P5WVlezbt48//elPPP/88zz00EP4+vpa5p9ydnbm1Vdf5U9/+hMLFixg2rRpaLVahg4dyk033cQrr7zCn//8Z2bNmmX53aZ2er2LVdcT6qVRZLIYIcTvmEwK7yxOY/P2PMoqTFRVmXGw1+DibMeAPj48NSEKO91vxVRpaSk33ngj7777Lr1797Zh8pYjPj6e3bt3Wx4PHz6ctWvXWh6vWrWK77//njlz5rBt2za+++47zGYzcXFx/OMf/6CkpITXXnuNnJwcHBwc6Nq1KxMnTkSj0bBs2TK2b99OTU0Nrq6uPPnkk5YbbUNDQ8nMzGz2/QU4duwY8+bNo6ysjODgYCZNmoS7u3udddr7uZD4flSzZ1u7z5XEY85k5jsQ6lNFn47lDOta901b7ycKycw80ezZoGHHzlbfWzVna0g+NWeD+r8rRNORxgrqGKOl7YMUU0KIyyorq2FHYgH5hVV4eznQr5c3ri51rw5ev349Y8aMYeLEibz88ss2Stry2OoNki3fODaErYqphrBlMdUQav7eSrbGk2Kq+UiRoI4xWto+yD1TQojLcnGx46aBfldc5+abb7Z0ZBJCCCGEaEvknikhhBBCCCGEaAQppoQQQgghhBCiEaSYEkIIIYQQQohGkGJKCCGEEEK0ebt27WrR228tY7S0fZBiSgghhBBCtHnLli1r0dtvLWO0tH2QYkoIIYQQQgghGkFaowshhA34+PgQHx/f7ONqtVqbjNtQWnsnRjxfbOsYl6TVaNR97FT8vZVsjefj42PrCEKIK5BiSgghbGDdunW2jiCEEEKIaySX+QkhhBBCiDbvvvvua9Hbby1jtLR90CiKolhta0IIIYQQQgjRRsiZKSGEEEIIIYRoBCmmhBBCCCGEEKIRpJgSQgghhBBCiEaQYkoIIYQQQgghGkGKKSGEEEIIIYRoBCmmhBBCCCGEEKIRVDlpb7/btqHRatFoNWh1OjRaLVqtBo2mdpnlOcvj357T6XSWZXWf19RuQ6tFo/nf81oNWp0W7f8e11nvwjoaLtqeBq3ut+drX8dFr+G312g0aLXUrq/533MaLOtZtnvhaw2161te/9uyi9ep+7WCzvK8Uvd5lIvW/d/XKGi1Sp3nNRoF7UVfa7j4eQWtxoyW3577/f+1Fy+jdv0LX//2n7l2HeV/jxWz5f9axfS/r+sur13XDL9fbjahURRQzJbl/G99lN/Wt7zObAJz7eO66/3v64ue48Lj370G84X/112mXPi/qea31yoKirnu8yhmFHPt84qioNSYLMsuXteyzv+WK//bprnGXPv4wnKzYhnn4mUXvjZVm3+37Ld1zKb6j801JhTTb8+ZTQqK6aL1TQrmGgWluvb/pnIzSrXZsmxEdYqtf2UIIYQQQtiEnJkSQgghhBBCiEaQYkoIIYQQQgghGkGKKSGEEEIIIYRoBCmmhBBCCCGEEKIRpJgSQgghhBBCiEaQYkoIIYQQQgghGkGKKSGEEEIIIYRoBCmmhBBCCCGEEKIRpJgSQgghhBBCiEaQYkoIIYQQQgghGkGKKSGEEEIIIYRoBDtbB7iUCfec4K9//autY7QAmnpff/rpp3LsGkGOW+PJsRNCCCFEW6XKM1PLli2zdYQWS45d48hxazw5dkIIIYRoq1RZTAkhhBBCCCGE2kkxJYQQQgghhBCNIMWUEEIIIYQQQjSCKoup++67z9YRWiw5do0jx63x5NgJIYQQoq3SKIqi2DqEEEIIIYQQQrQ0qjwzJYQQQgghhBBqJ8WUEEIIIYQQQjSCTSbtzc3N5c033yQlJQU/Pz8ef/xxunbtWm+9Xbt28dlnn3Hy5ElcXFy4/fbbufvuu22QWD0aeuwu9sYbb3Ds2DEWLlzYTCnV6WqOXX5+Ph9++CG7d++mrKyMN998k+jo6GZOrB4NPXYVFRUsXLiQnTt3AtCrVy8mTpyIk5NTc0cWQgghhGhyNjkzNXfuXGJiYvj888+59957ee2116iqqqq3XllZGX/961/57LPPeP3111m9ejV79uyxQWL1aOixu+Cjjz7ixIkTzZhQvRp67MrLy5k6dSqRkZEsXryYr776itDQUBskVo+GHrtPP/2U8vJylixZwvvvv09BQQFffvmlDRILIYQQQjS9Zi+mSkpKOHLkCPfeey+urq4MGjQIDw8PDh8+XG/dwYMHc/311+Pk5ERQUBDdunUjPT29uSOrxtUcO4B169Zx/PhxHnjggWZOqj5Xc+xWr15NXFwcd955J+7u7jg7O7fpMytXc+xOnDiB0WjE1dUVT09PevbsSU5Ojg1SCyGEEEI0vWYvpnJycvD09MTBwcGyLCgoiNOnT1/xdYqicPToUdq3b9/UEVXrao7d7t27Wb9+PVOnTkWn0zVnTFW6mmO3Z88esrOzuf/++/nTn/7ECy+8wNmzZ5szrqpczbEbMWIEy5Yt44svvuDkyZP8+OOPjBgxojnjCiGEEEI0m2YvpiorK3F0dKyzzNHRkcrKyiu+7uuvv0an03Hdddc1ZTxVa+ixy8nJ4f/+7/+YMWNGmz6jcrGr+bnLy8ujW7duvPfeeyxdupR27drxn//8p7miqs7VHLuwsDBCQ0M5ffo0//rXv3B2diYiIqK5ogohhBBCNKtmb0Dh6OiIyWSqs+xSb9Yutm3bNr7//nvefPPNNn2WpaHH7syZM5w8eZKxY8cCtWf1TCYTt99+O59//jmurq7NllktrubnTqPR0LlzZ1xcXAC45557eOqpp5olpxpdzbF7/fXXueeee7j++uuprKxk3rx5vPvuuzz99NPNFVcIIYQQotk0+5kpf39/8vLyqKiosCw7deoUAQEBl1x/y5YtLFmyhFdffRWDwdBcMVWpoccuNjaW77//npUrV7Jy5UpeeeUVQkJCWLlyZZsspODqfu78/f3JzMy0PK6pqalziVtbczXHLj09nZCQEKC2CBs2bFibvs9RCCGEEK1bsxdT7u7udOrUiS+//JLy8nK2b9/O2bNniYmJ4aeffmL8+PGWdVetWsWyZcuYPXs2gYGBzR1Vda7m2Im6rubYDR48mC+++IITJ05QWlrKsmXLGDhwoO3C29jVHLsuXbrwySefUFJSQklJCevWraN79+62Cy+EEEII0YRsMs/UE088wVtvvcXy5cvx9/dn6tSpODg4UFZWxsmTJy3rbd++nezsbMaNG2dZ5ufnx5IlS2wRWxUaeuxEfQ09doMGDaKgoIBp06ZRXV3NgAED+Pvf/27D5LbX0GP31FNP8d577zFu3Djs7Ozo37+/dJMUQgghRKulURRFsXUIIYQQQgghhGhpbDJprxBCCCGEEEK0dFJMCSGEEEIIIUQjSDElhBBCCCGEEI0gxZQQQgghhBBCNIIUU0IIIYQQQgjRCFJMCSGEEEIIIUQjtLpi6tNPP+Wll16ydQwhhBBCCCFEK6fKYmrWrFm8+eab9ZafP3+e2267jePHjzd/KCGEEEIIIYS4iCqLqSFDhvDzzz9TUVFRZ/n27dsJCQkhLCzMNsGEEEIIIYQQ4n9UWUzFx8fj6OjIrl276izfsmULQ4cOZebMmdxzzz2MGjWKBx98kPXr1192W8OHD+fYsWOWx7+/DDAlJYWnn36au+66i4ceeogtW7ZYf4eEEEIIIYQQrY6drQNcik6nY8CAAfzwww8MHDgQgNzcXJKTk3n22Wfp2rUr/v7+uLq6kpmZyVNPPUVsbCwBAQFXNU5BQQHPP/88jzzyCP369SMlJYUZM2YQERFBaGhoE+yZEEIIIYQQorVQZTEFMHToUJ588kmKi4vx9PRky5Yt9OjRAy8vL44dO8YXX3zB0aNHKSkpoaKigqysrKsupn744Qe6du3K4MGDAejatSvdunXjl19+kWJKCCGEEEIIcUWqLaYiIyMJDg5m27ZtjBo1ii1btjBmzBiOHDnCzJkzeeCBB/jHP/6Bp6cnDz30ECaT6arHyM3NJSEhgdtvv92yTFEUgoKCrLkrQgghhBBCiFZItcUUwODBg9myZQsxMTHk5+dzww03sGLFCmJiYrjjjjsatA07Ozuqq6sv+ZzBYKBPnz4899xzVkwthBBCCCGEaAtU2YDigsGDB3P06FE+/fRT+vfvj6OjI0FBQWRlZZGXl0dFRQX//e9/KSgouOw2QkJC+Omnn6iqqmL//v38+OOPlucGDhzI3r172bBhA+Xl5Zw/f569e/eSnJzcHLsnhBBCCCGEaMFUfWbKx8eHbt26kZCQwOzZswHo06cPv/76K//4xz9wcnJiyJAheHh4XHYbEydO5O2332bNmjXExMQQFhZmOVPl5+fHzJkz+fjjj1m0aBEAHTp04KGHHmr6nRNCCCGEEEK0aBpFURRbhxBCCCGEEEKIlkbVl/kJIYQQQgghhFpJMSWEEEIIIYQQjSDFlBBCCCGEEEI0ghRTQgghhBBCCNEIUkwJIYQQQgghRCNIMSWEEEIIIYQQjSDFlBBCCCGEEEI0ghRTQgghhBBCCNEIUkwJIYQQQgghRCP8P3NePe0Bw7BzAAAAAElFTkSuQmCC\n", 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Number of paths to go from node i to node j in x steps\n", "\n", "#x = 1\n", "print(\"One step away\")\n", "plot_network_adj(G_dir)\n", "A = nx.to_scipy_sparse_array(G_dir)\n", "\n", "#x = 2\n", "print(\"Two steps away\")\n", "G2 = adj_to_net(...) \n", "plot_network_adj(G2)\n", "\n", "#x = 3\n", "print(\"Three steps away. Triangles!\")\n", "G3 = adj_to_net(...) \n", "plot_network_adj(G3)\n", "\n" ] }, { "cell_type": "code", "execution_count": 12, "id": "2058e0be", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/garci061/miniforge3/envs/networks/lib/python3.10/site-packages/scipy/sparse/_index.py:146: SparseEfficiencyWarning: Changing the sparsity structure of a csr_matrix is expensive. lil_matrix is more efficient.\n", " self._set_arrayXarray(i, j, x)\n" ] }, { "data": { "text/plain": [ "array([2, 2, 2, 3, 4, 3])" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Number of nodes reached in 3 steps\n", "M = ... # all nodes should be counted only once (e.g. doesn't matter that you can reach Rose in two different ways)\n", "# Set the diagonal to zero (do not count youtself)\n", "...\n", "\n", "# Sum the neighbors reached\n", "M.todense().sum(1)" ] }, { "cell_type": "code", "execution_count": 13, "id": "d845823b", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[0, 0, 1, 0, 0, 0],\n", " [1, 0, 0, 0, 0, 0],\n", " [0, 1, 0, 0, 0, 0],\n", " [1, 0, 0, 0, 0, 0],\n", " [2, 0, 0, 0, 0, 0],\n", " [0, 1, 0, 0, 0, 0]])" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "array([[0, 1, 0, 0, 0, 0],\n", " [0, 0, 1, 0, 0, 0],\n", " [1, 0, 0, 0, 0, 0],\n", " [0, 0, 1, 0, 0, 0],\n", " [0, 0, 1, 0, 0, 1],\n", " [1, 0, 0, 0, 0, 0]])" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "display((A @ A).todense())\n", "display(A.todense())" ] }, { "cell_type": "markdown", "id": "6bd6646e", "metadata": {}, "source": [ "## Exercise 3b: Number of triangles and clustering" ] }, { "cell_type": "code", "execution_count": 14, "id": "a426cf21", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[('Alice', 1), ('Bob', 1), ('John', 1), ('Amy', 0), ('Mike', 0), ('Rose', 0)]" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "1.0\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Count number of triangles in the directed network\n", "plot_network_adj(G_dir)\n", "A = nx.to_scipy_sparse_array(G_dir)\n", "path_3 = A**3\n", "\n", "\n", "# For undirected newtorks there are two directions\n", "display(list(zip(G_dir.nodes(), path_3.diagonal() )))\n", "\n", "# Number of triangles = trace / 3 (each triangle count in 3 nodes)\n", "..." ] }, { "cell_type": "code", "execution_count": 15, "id": "250588dc", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[('Alice', 1.0),\n", " ('Bob', 1.0),\n", " ('John', 1.0),\n", " ('Amy', 0.0),\n", " ('Mike', 0.0),\n", " ('Rose', 0.0)]" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "1.0\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Count number of triangles in the undirected network\n", "plot_network_adj(G_undir)\n", "A = nx.to_scipy_sparse_array(G_undir)\n", "path_3 = A**3\n", "\n", "\n", "# For undirected newtorks there are two directions\n", "display(list(zip(G_undir.nodes(), path_3.diagonal() / 2)))\n", "\n", "# Number of triangles = trace / 6 (each triangle count in 3 nodes, each triangle counted in two directions)\n", "..." ] }, { "cell_type": "code", "execution_count": 16, "id": "eaa7e22c", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "{'Alice': 0.3333333333333333, 'Bob': 1.0, 'John': 0.16666666666666666, 'Amy': 0, 'Mike': 0, 'Rose': 0}\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/var/folders/hx/nz98f65j615c4ygz7xt694700000gp/T/ipykernel_26161/2639672817.py:11: RuntimeWarning: invalid value encountered in true_divide\n", " list(zip(G_undir.nodes(), path_3, potential_links, path_3/potential_links))\n" ] }, { "data": { "text/plain": [ "[('Alice', 1.0, 3.0, 0.3333333333333333),\n", " ('Bob', 1.0, 1.0, 1.0),\n", " ('John', 1.0, 6.0, 0.16666666666666666),\n", " ('Amy', 0.0, 0.0, nan),\n", " ('Mike', 0.0, 1.0, 0.0),\n", " ('Rose', 0.0, 1.0, 0.0)]" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" } ], "source": [ "#Local clustering = number of triangles / number of potential links\n", "print(nx.clustering(G_undir)) #standard nx function\n", "\n", "# Number of triangles\n", "path_3 = (A**3).diagonal()/2 # divided by two because there are two directions\n", "\n", "# Number of potential links between neighbors\n", "degree = A.sum(1)\n", "potential_links = ... # Number of potential links between neighbors (N)(N-1)\n", "\n", "list(zip(G_undir.nodes(), path_3, potential_links, path_3/potential_links))" ] }, { "cell_type": "markdown", "id": "86fbb95c", "metadata": {}, "source": [ "---" ] }, { "cell_type": "markdown", "id": "75672afb", "metadata": {}, "source": [ "# Exercise 4 Calculate node centrality\n", "- Degree \n", "- Closeness\n", "- Harmonic\n", "- Betweeness \n", "- Eigenvector\n", "- Pagerank\n", "- Katz\n", "- HITS\n", "\n", "- Compare pagerank and katz with alpha=0.85. What is the difference?\n", "\n", "Display using color" ] }, { "cell_type": "code", "execution_count": 17, "id": "f2806068", "metadata": {}, "outputs": [], "source": [ "G = nx.florentine_families_graph()" ] }, { "cell_type": "code", "execution_count": 18, "id": "541bfaf6", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Degree centrality\n", "cent = nx.degree_centrality(G) \n", "cent = cent.values()\n", "\n", "plot_network_distribution(G, cent)" ] }, { "cell_type": "code", "execution_count": 19, "id": "a9c21674", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Betweeness centrality\n", "...\n", "\n", "plot_network_distribution(G, cent)" ] }, { "cell_type": "code", "execution_count": 20, "id": "5c3e3686", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Closeness centrality\n", "...\n", "\n", "plot_network_distribution(G, cent)" ] }, { "cell_type": "code", "execution_count": 21, "id": "af9dfe82", "metadata": {}, "outputs": [ { "data": { "image/png": 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P66+/Xnj88uU88cQTZfzshBBCCCEK2Wwq87/ZwdRHF5KclEN48yB692+KwUWPi4seg4teyq2L21t+gZlT5zLsQ/5ulNWmkp5dgNFsJaymtwwhKwGj0Uj//v1Zs2YNrVq1AuCHH36gT58+nD59Gq1Wy/LNuSXqrRo4eX2Rxxq9G32HTKZ+bSf7tt27d5OWllZ4/MCBDBw4sBTPRgghhBCieOlpubzxyh/s3hELwJjxbZn46J3odFoGDG7O2fh0agX7VMmkCiSxqhQsFhunEzJvOqm6SFUhr8BM/IUsagd4lXF0lV9eXh4ZGRnk5FzqCh87diyenp5YrVaeeuopFi79G2N+4f6OA96neu229mOj984nPnoNPUbPByAz5QR/fj+C4VP3Mv/1mox69jBanYEdq54nO+00yz7NILCGFz/++CMZGRl88cUXWK1WvLy8qF+/PosXL2blypXl+yIIIYQQolI7sDeeV19cSWpKLl5eLvzv1T60vzPMvr9Zi5pVNqG6SIYC3uZUVSXufCYWq+36B/9rO5CVayI711hGkVUdPj4+vPvuu/Tu3ZuwsDDGjRvHN998Q8+ePdm7dy9nzyUw4j+/M3jKFuq2GEnU1k+KnF8nfAhJZ3aRn5MEQMz+n6kXcS8azaW1q87FbMDJ4EXfh1bx2uy93HHHHcyePZt27doxefJkRo0axZtvvlmuz1sIIYQQlZ/VauO7eduZ+p9FpKbk0jyiJvMWjC+SVIlCkljd5vIKLBQYLWXSls2mcjYpW+ZblcDTTz/NhQsXmDVrFoGBgbzzzju0bNmSJk2aMH366xza+T2710wn7sgKLKbcIufqnd2p3agvJw8uxmazcirqV+q3HF3kmNAmA6gXMYqjO+fy89zn2bRpU5EeMiGEEEKIspaWmsuzTyxh3hdbsdlUxj3Qjo8+H0X1Gh6ODq1CksSqAjKbzQQGBtKnT5/rHnshLbfYIYCHow7wzOMPXff8kQO7k5WVaX9ss6nkFdx4oqYoCikpKVW6aMLWrVuZOXMmHh4e9O/fn3fffZfDhw+jKApLly5l6JABANRu2JsGbe4vNnFt0Po+TkX+QkLMBrz86+PhE1Jk/7Hd37Jt+dPo9K50v2cko0ePlgRYCCGEELfMvj1neHDs9+zZFYeXtwvvzRrGpP90QqeT9OFa5JWpgH799VciIiLYs2cPR48eveZxqqqSX2Audl/TZhG8/8m8615r0fINeHpemldltamkZebfdMwDBw5k1qxZN31eZeDv788bb7zB33//bd+WmJhIZmYmP//8MwMGDKDzPQ/hF9SC+GN/oKpXD9v0r9UaFZXIvz6gQauxV+1POLmJui1GEXHnWO7pGs6KFSuwWq0A6HQ6zObi/x8IIYQQQtwMq9XGt19t4+kpv5CWmkuLlrX4esF42nao4+jQKjxJrCqgzz//nEGDBjFq1Cg+/vhj+/avv/6apk2b0rx5c7p3707MyVhQ4LfFPzKkb2eGD+jKxPFDOZ94jt07tzK0X2cAYk+f5JEJI7hvRB96d23Nk4+Ox2gsAKBFgxqkp6Wy7Nefeezhwhv6PKOZb7/9lv79+wOQmZnJfffdR3h4OM2aNeO5557DYinaq3X58VVNgwYNWLp0KdOmTSMsLIwmTZowcuRIvvnmGz788EM2bdrEjx90YdVXvfDwCSUn/UyxyVWDVveRnR5HcKOreyqbdnyU6L3fs+jjrkwY04NWrVoRExMDQPfu3fnzzz95/PHHb/VTFUIIIUQllpqSyzOPLebrL7ehqirjH2zPh5+NxL+6DP27EVIVsII5cuQI27dvZ8mSJbRu3ZouXbrw5ptvcvbsWZ5//nn27dtHcHAwH330EW+//Rb9Bo/h45lv8PPStQQE1uSHb+fw1ecf0bvfYHubvy76gQFDRtF/0HDMZjOjh97Nlk3r6HlP8YmQ1Vp0iNkTTzyBn58fUVFRmEwmBg4cyHvvvccLL7xwK1+K20q3bt3o1q1bsfv279/PuYTzvDrPhMnqTNs+bwBw1+CiPXyN202kcbuJRbbd/8p5AAy1/Rjx5BZG3u3B3e1cixzTsWNHYmNj7Y8nTJhQymcjhBBCiKpm7644Xn9pFWlpefj4uvLia325o12oo8O6rUhiVcF8/vnn9O/fHz8/P/z8/KhTpw5ffvklzs7O3HPPPQQHBwMwdepUMrILePPtd+nQqSsBgYXlLe+b8AgAu3dutbc59dmX2L51M998NZu40ydJvnCBvNzcqy9uVzSx+uOPP9i6dSuKouDs7MzkyZP56KOPJLG6AXl5eWzYsIFjx47Run5/DpxyJt9UsrbcXTR0ijCUbYBCCCGEqNKsVhvfzd3Od/O2o6rQsnUwL73Rj2rV3B0d2m1HEqsKJDc3l/nz5+Ps7ExoaCgAWVlZzJ49m+eee67I4r35+fmcPHECnVaLwqXtBQX5JJ47W6Td5596BKvVSq8+A+nUtSeJiedQr0ieFJTL8ikFk+nS3b/NZitybZvNJnN6rsNms7F7927++usvwsPDmTJlCgaDgc8XZ3Ig2ojpJl8+D1eFZ+7zweAso3eFEEIIUXpRkec4duQ8q38/zIljSSgKTJjUgfsf6oBWK/cbJSGJVQWyYMEC/Pz8iI6ORqstXMMoIyODkJAQMjIyWLduHYmJiQQGBjJnzhzWrV/PQ//5P+bOmUVy0gX8q9dg8c/fs2vH34x7YLK93e1/b2LeD0tp2LgpMSeOcShyH/f0HVTk2j6+fsScOIbRWIDe1cDixYtxcnIC4J577mH27Nl8+OGHmEwmvvzyS+6+++7ye2FuM6dPn2b16tW4ublx//33U716dfu+ycO8mLs0i/3HjeQbb6yqn5e7hqfHelOrhvy6CiGEEKL0Ppq5npVLD2IyFRbCcnbWMeODIbRuG3KdM8W/kTu1CuTzzz/n6aeftidVAN7e3jzxxBOsXLmSmTNn0rt3bwACAwP5+uuvyShw4qnnXuE/D90LQLXqNXj1rY+Iiz1pb+Pxp6fx1JQJuLi64u7uSeu2HYiPO13k2h3u6krrOzowuPddBAYG0Ovunhw8eBCAWbNm8fjjj9OsWTNMJhO9e/fmf//7361+OW47GRkZrFmzhsTERHr16kWjRo2K9PQBaDQKk4Z4sutQAcv/yiUz10ZO3tUJlpMenPUKEQ2dGdrNHR9P7VXHCCGEEELcrKjIc6xaHmVPqgBQwMlZ0oLSUlRZDOe2lpicQ3JGXpm1p9UqNKjti14nN/I3ymQy8ffff7Nnzx7at29Phw4d0Ov1N3Ru/AUzq/7OJTbBgtGsotUUzqXq0tqFjs1dcHZSrt+IEEJUAJkZ+bz8wnKHxvDajIF4ebs4NAYhKro/Vh7ivbfWYDZfqlDs4qJn6nM96NM/3IGR3f4kNb3NVfNxIS0rv9hFgkvCxVkvSdUNUlWVw4cPs3btWmrXrs3kyZPx9PS8qTaCa+iZPMz71gQoRAWVlJTEU089xZAhQxg+fLijwxFCiColMNCrSFIFhdPsawX7OCagSkQSq9ucXqfF38eVpLRcSptbaTUKwTVknYIbkZiYyOrVqzGZTAwdOpSQEBmTLMSNyM3N5Y033rjpDyGEEEKUjfT0wpFOigIGgx4V6DcgnGYtajo2sEpAEqtKwN/HlaxcE/kFZkqaW1ksJs7EHqV+cBdAeqyu5fLy6d26daNly5ZoNFI5R4gbYTabeeONNxg6dCh79+51dDhCCFElLfqx8P13xOjW1K3vT61gH0mqyogkVpWAoiiE1fTm1Ll08o0WbnbWnFajEBTgQ3x0Ht9++y1jxozB3V3WLric1Wplz549/PXXXzRr1owpU6bg4iLj+IW4GR999BGtWrWia9eukljdArm5RixXDO8pT7YyGpIuhLh1jhxK5HBUAu4ezjz4yJ24ujo5OqRKRRKrSkKjUahby4cLqbmkZt7YnCtFAZ1WQ0igF64GPQMHDuSvv/5i3rx5jBkzBn9//3KIvOI7deoUq1evxsPD46ry6UKIG7N48WIMBgMjRoxwdCiVlsVsc2jxiOlv9XfYtYUQ1xcVeY7ZH24EYMCQ5pJU3QKSWFUiiqIQUM0dH08DSel5ZOUaQaVIkqVRQNEoaDUK1bxd8fV0QaNR7Od36dIFLy8vvvvuO0aMGFGl5w6lp6ezZs0azp8/zz333EPDhg2vKp8uhLgx8fHxbNy4kbVr1wKFvcCKohAdHc20adMcHJ0QQlRuH81cz6plURiNFgDS08quorS4RBKrSsjZSUdwDU9UVaXAZCGvwILFakVBwdlJh6tBh06ruWaSEBERgaenJ4sWLaJPnz6Eh1et0ptXlk8fNmwYOp38qghRGk899RRPPfWU/fH7779PSEiIVAUUQohbLCryHL8vP2RPqgA2rY9mwODmMreqjMndYiWmKAouznpcnG9sTaXLhYWFMX78eH788UcyMzPp2LFjpe+tUVWVQ4cOsW7dOkJCQkpUPl0IIYQQoiI5G58OV5Q3U/7ZLolV2ZLESlxTjRo1eOihh/jxxx/JyMigT58+lbYC3uXl04cNG0bt2rUdHZIQQgghRKnVCvbBbLYW2SbrVt0akliJf+Xp6ckDDzzAokWLWLhwIcOGDcPJqfJMdszNzWXDhg0cP35cyqcLUY6eeeYZR4cghBBVgpOzDqu1sMfK2aBDURRZt+oWkcRKXJezszNjxoxh5cqVfPfdd4wePfq2L8cu5dOFEEIIUdmpqsrsDworAXa/uyHtOtaRdatuIUmsxA3RarUMHDiQzZs3M2/ePMaOHUu1atUcHVaJXF4+fcKECVJWXgghhBCV0l8bTxC5/yxeXi4889+78fAwODqkSk0SK3HDFEWha9eueHt78+233zJy5Mjbai6SlE8XQgghRFVhMln4fNZmAB58pKMkVeVAEitx0yIiIvDw8GDhwoX07duXpk2bOjqkf3V5+fQOHTpI+XQhhBBCVHpLFu4n4VwmoXX8GDCkhaPDqRLk7lKUSN26dRk3bhw//fQTmZmZdOjQocL1/kj5dCGEEEJURdu2xDDvi78BeOypruh0UpirPEhiJUosICCAhx56iAULFpCRkUHv3r0rTEW9i+XTzWazlE8XQgghRJXx0cz1LFtyAKtVRaNR2Pb3Kdp2qOPosKqEinEXLG5bF8uxp6SksGjRIsxm8w2fq1otqHlZqLlZqGZTmcSTm5vLihUrWLBgAc2bN2fixImSVAkhhBCiSoiKPMfKZVH28uo2m8rvKw4RFXnOwZFVDdJjJUrNYDAwduxYVqxYYS/H7ubmVuyxtsxkLMf3YEs9BxZL4dLfKIAKihaNVzW0DVqj8Q++qaGFVquV3bt3s2XLFpo1a8Zjjz2GwSCTNIUQQghRdZyNT8dqKboYsPLPdimxfutJYiXKhFarZdCgQWzatIl58+YxZsyYIuXYbdlpmHf+jpqfA6b8a7ZjK8jBlpYIemf0re9GW/36vU0nT57kzz//lPLpQgghhKjSfHxc7b1VF6lArWAfxwRUxUhiJcqMoih069btqnLslug9WI7vBlPBjTVkNoLZiHnHSqyBYehb90IpZu5Weno6f/75J0lJSfTq1UvKpwshhBCiSjsTlw6ARqPg7KxDBfoNCJfeqnIiiZUocy1btrSXYx/Xph7e2QlQkjlUZiO2cycw5efgdNdQe3JlMpnYsmULe/fupUOHDgwfPlzKpwshhBCiSlNVleW/RQLw0CN3Uq26O7WCfSSpKkdyNypuiXr16vHg3R3RRe8CbSkaslpQ0xIx71uHvvXdREVFsW7dOkJDQ6V8uhBCCCHEPyL3n+VMbBq+fm6MHn8HOl1pbsBESUhiJW4JNT8Ht/io0iVVF1ktWM6e4M/Dp0k0KowYMYLg4OAyaFgIIYQQonJY/utBAPoNaiZJlYNIYiVuCfO+9f9apOJmaawmunhrcOv/MFqtvFkIIYQQQlyUkZHH5g3RKAoMGNzM0eFUWbKOlShzqjG/sLJfGXNSQLkF7QohhBBC3M5WrzyM2WylbYc6BAR6OTqcKksSK1FqsbGxKIpCly5dALCeOVpY2Q+YNPsnXIY/TUpWzg23N3XuEt5YuBqAwW9+ydH484U7zAVYTuwtcuyePXsYPnx4GTwLIYQQQojbj6qqrPitcBjgwCHNHRxN1SZDAUWZMBgMHD9+nLi4OAIvxIJqI7fAyPZjp0vV7tL/PVzksS0jqcjjNm3asHjx4lJdQwghhBDidvXrov3En0nHy9uFDnfVdXQ4VZr0WIkyodVqGTVqFAsWLMCWlQbAsp1R9L8j3H7Mqj2H6fTCR7T/v/fp9r9Z7DgeC0BWXgFj3/+O5k+8Ta+XPyX63KXkqeGjr7M3Jh6A79bvpNXkV2jerBndu3cnPj6eTZs2ER5+6RpCCCGEEFXFRzPX88mHGwHIzTEy+5/vhWNIYiXKzPjx45k/fz6oNgB+2LSbcd3uACA2KY1XflzF0v9NYsd7z/Dp5JGMnvkNuQVGXl+4GhcnPZEfv8CCZ+4nOiH5qrYPxp7jxQUrWfbqY0Tu3sHAgQN58803y/X5CSGEEEJUFFGR51i1LAqbVQXAYrHx+4pDREWec3BkVZcMBRRlpnXr1mi1WvbFxOFv0JKdb6Rp7UAA1uw/yvn0bPq++rn9eEWjcPJ8Chujopk5YTCKouDv5c7Atlf3QG2MOkHPFg0J9vcFFKZOnQrApk2byuGZ3Z5UVUXNy0LNTgOrGRQtirs3iruPfbFlIYQQQtyezsanY7HYimxT/tkuiwI7hiRWokyNGzeOnzatx99Fz5gure3bFRS6NqvPD0+Pt2+LT0knyKewco16WRu6Ysqp6zQaFEUpPNDJmfz8fOLi4m7V07it2TKTsZzY+09lRqUwqbLZQNGArvBXXnHzRle/NRr/4MLXVQghhBC3FYNBh9VaNLFSgVrBPo4JSMhQQFF2Tp8+TZ06dfjlr90s3rafUXe1su/r1LQu6yOPc/zcBQBW7ztC22feI99kplfLxny7fic2m430nDxW7j50Vdtdwuux8WA0Z9OzUVGYM2cOzz33XLk9t9uBaszHtGMFph0rsJ0/DaaCwrXErJbC4Zk2yz/bClDTz2PetxbT5oXYstMdHboQQgghbtL2vwsLhGm1Ci4uegwuevoNCJfeKgeSHitRImazmbNnzxIbG8uePXswm81s2LCBkJAQGtSri5/Wgq+Hm/34RrVqMPuREYz/cD6qqqLTavnl+Ydwd3HmxZH38PicxbR48h38vdztwwcvFx4SxJvjB9DvxY/IfuFDatSowfvvv4/JZCrPp11hWVMTMO9dU5g4Fen/+xcWE2qOCdO2pegatUUX0vSWxiiEEEKIshF7KoU1fxxBq9Xw8hv9KCgwUyvYR5IqB1NUVb3BuzBRlZnNZuLj44mNjSUuLo7ExERq1KhBaGgooaGhBAcH4+TkBIBqtWD8Yy4Y88s2CCcXnLqOIkfVEh0dTXR0NHFxcQQFBdGgQQMaNGiAn59f2V7zNmBNTcC8Z7V97bAS0Tmha9QOXahUWBTidpWZkc/LLyx32PWnv9Wf6dNWOuz6AK/NGIiXt4tDYxCiPLz0/DI2bzjBoGEteOaFux0djviH9FiJYhWXSAUEBBASEkLnzp2LJFJXUrQ6tMGNsZ6KBJu1zGJS3L3RePjgSeH6VW3atMFkMnH69Gmio6PZtm0bzs7O9iSrdu3aaCp5kQbVmF/YU1WapArAYsJyfBca7+povKuXTXBCCCGEKHPHj55n84YTODnrGP9ge0eHIy4jiZUAwGQyFUmkzp8/T0BAAKGhoXTp0oVatWpdM5Eqji78TgrijqAvq8TKyYBT275Xb3ZyomHDhjRs2BBVVUlMTCQ6Opo1a9aQnp5OvXr1aNCgAfXq1cPFpfJ9imnev+6f4X9l0ZgR8941OHUdjVJMAREhhBBCON7cz/8GYOiICPyrezg4GnE5SayqqOISqcDAQEJCQujatSvBwcHo9foStW2z2diwcRNJZwsYXNMJjaWU86D0zuia3oni5vmvhymKQlBQEEFBQXTt2pWsrCxOnDjBoUOHWLlyJYGBgUWGDN7u1fBsmcnYMpO54TlVN0A15mGNP4YuVOZbCSGEEBXNgX3x7Nwei6ubE2Pub+vocMQVJLGqIkwmE2fOnCEuLo7Y2FguXLhAYGAgoaGhdOvWjVq1apU4kbpcTk4OS5YsQaPRMGzCIzhnnse858+S96rondHWb40urPlNn+rp6Unr1q1p3bo1ZrPZPmTw+++/R6/XFxkyqL0Ne2gsJ/aVfgjglWxWrKcOoA1pctsnnkIIIURloqqqvbdq1Ng2eHu7OjgicSVJrCopo9FYpEfqwoULBAUFERISQvfu3csskbpcfHw8ixcvpkWLFnTt2rVwfpNrGMpdQzDtWAUFuTcx50oBZxd0LbqiC25Y6tguT6RUVeX8+fNER0ezbt060tLSqFu3rn3IoKtr2bxRxcbGEh4eTk5OTpm0dzlFUYhf9DHVXEr+M9wTHct3a7fxyZQxRbarFhNqfjaK67/3EF7L9OnTSUlJYfbs2Vft69u3L++99x5NmjQpUdtCCCFEVbVreywHD5zDy8uFkaNbX/8EUe4ksaokjEZjkR6ppKQkgoKCCA0NvWWJ1EWqqrJr1y62bNnCwIEDadCgQZH9Gp8AnHvdj+XIdqxxRwoXrLWYi29MowWdE5rqtdFHdEVxLvtPYxRFITAwkMDAQLp06UJ2djYnTpzgyJEjrFq1ioCAAHsSVq1atQrcc1O6uI6eSeRcSsbVO6wW1MxkKGFi9W9+//33Mm9TCCGEqOxsNpUvP9sCwJj72+Lm7uzgiERxJLGiMDEwm0xYrRYAtFodeienCnxDfSmRutgjlZSURM2aNQkJCaFnz57UrFnzliVSlzOZTKxYsYKUlBQeeughfHyKX+1b0erQN+uErmlHrAknsSWeIvnEYfy8/pl0qdGh8fZHUyMEbXBDFH35vWF4eHjQqlUrWrVqhcVisQ8Z/OGHH9BqtdSvX5+GDRsSEhJSJkMGo6OjmTJlCtnZ2SQmJhIREcHChQsxGAwYDAaefvpp1q1bR05ODtOnT+eXX34hKiqKoKAgVqxYgZtb4fpg079ZzN7jp7GpKq/cN4C+bZsB8O2arXz5+1/YVBVfDzc+fGQUDYMDmPTh96Tn5HIqMYW2jUJZv/8YWXn5PPzR93w5dTyrdh1kxsLVmC0WXD0/4f3P5tChQweOHTvGQw89REFBAaqqMnHiRP7zn/9gsVh47rnnWLlyJTqdjo4dO/LZZ58BcOzYMbp162Yvy//zzz/bh54uXryYNm3alPp1FEIIIaqK+d/s4MTxJLy8XRg6IsLR4YhrqLKJlaqq5OVkk5mehtVisW8D7AmVTq/H08cXVzd3hydZlydSsbGxJCcnU7NmTUJDQ+nZsye1atVCpyvfH2dqaioLFy6kZs2aPPjgg9dM5FRVJS4JDsaqXEhXMFvroaph5GvbE+btSZMQqB+koNU4PpHV6XTUr1+f+vXr07dvXy5cuEB0dDQbNmwgJSWlyJDBiwnOzfrqq6+4//77ue+++zCbzbRu3ZpVq1YxbNgwjEYjAQEB7Nq1i3feeYeJEydy9OhRAgMDueOOO1i2bBljxhQO3Qut4cfs/9zL4bgEev33Qw58/jLHziTyw4adrJvxDK4GJ9btO8Kot+Zw4PNXAMgzmtj32UsAzF+3nd+27ufLqeOJSUjile+X8+dbU/HzdOeY0UCfoUOJiYlh5syZDBgwgBdeeIHz588zdepUJk+ezGeffcbevXuJjIzE2dmZ0aNHs3DhQgBOnTrFzp078ff3Z/DgwcydO5eXXnqpDH5CQgghRNXy/oy1LP81EoC8XCOff/IXU5/t4eCoRHGqZGJVkJ9HyoVEbFYrxa2PfHGTyWglNek86Rot/gFBOBsM5RdjQUGRHqmUlBR7j1SvXr2oWbNmuSdSlzt69CgrV66ke/futGrV6pqJ5+nzNtbsB5MFjEVG/2lA78mpC3A2FTZEqnRqqhIeojg8ib1IURQCAgIICAigc+fO5OTkcOLECY4dO8Yff/xB9erV7b1Z/v7+Nxz3O++8w9q1a3n33XeJjo4mISGhyDysYcOGAVC3bl2aNWtGzZqFq6jXqVOHtLQ0+3GT+nUBoGlIEI2CA9h57DTbjsRwMjGZbs+9Zz8uIyeftOxcADo2qVtsTOv3H+V8WiZ9X5xVuMHJgEajISYmhiFDhjB+/Hh27dpFz549mTVrFhqNhnXr1jFu3Dh7GfuLSdX06dO5++678ff3B6BFixYkJSXd0GsjhBBCiEuWL41k+a+R9ntTs9nG7ysO0aNXI5q1qOnY4MRVqlRipaoqGakp5GRlYLPZbuwcmw2rzUZSQjyePr54+fjdktguT6RiY2NJTU2tUInURTabjXXr1nHkyBHGjh1LUFBQ8cepKn/uVTmZCAXXmE51kclS+G/TQTgSrzK0A+h1FSO5upy7uzstW7akZcuWWCwWYmNjiY6O5scff0RRlCJDBv/tZzV69GgsFgsjR46kX79+nDlzpkiC7+x8aRjkvw3n1OovrStmU1X0Wi1Wm8qYbm15c8KQwu02Gwlpmfi4F85VczMUP8TSarPRtUVDfnh+Imi06Jp1IRFXgoKCaNGiBSdOnGDt2rWsX7+eV199lb1796LT6YokkxcuXLD/Xl0et6IoxX6AIaqeH374gY0bN5KSkoKPjw8DBgywf5AghBDiEmOBma+/3MbPP+zmyj+hCnA2Pl0SqwrI8Xfq5SgjNZnszExU9caSqsvZbDYy09NABS/f0idXBQUF9kITcXFx9kQqNDSU3r17ExQUVCESqcvl5OSwePFidDodDz/88DWr56mqysqdKqcvgPkm1gc2WiAhBX7+S2V0F9BpK15ydZFOp6NevXrUq1ePPn36kJyczPHjx9m8eTNJSUmEhYVdc6jgn3/+yebNm2nRogWHDx9m586djBo16qZjmL9mK4/2uZP9MWc4lZjMHQ1D0WoUHv1kAY8N7E6grxdf/bGFT1dsJPKfoYBFnoNWg9la+APq1qIRry9YyfH48zSsG8rqnZGMm/QI8fHxPPzww9x111385z//YdiwYWzatImTJ0/Ss2dPfvzxR+677z70ej2PPvood911100/D1F1BAUF8frrr1OjRg3OnDnDU089RadOnahevbqjQxNCiArj4IGzzHj9T86eSUdRQKvVYLVeundVgVrBxc9pF45Vse7cb6H83Fyys0qWVF2k2mxkZaRhcHXF2eByc9fPzy/SI5WWlkatWrUICQmhd+/e1KxZs0KvpXTmzBkWL15My5Yt6dKlS2Ep9Ws4GKsSm3RzSdVFVhVSsmDzIZUeLSpuYnU5RVGoXr061atXp1OnTuTm5nLixAm2bt1Kbm4uBkPhsDpFKRzm+OabbzJkyBDc3Nzw8vKiS5cuxMTE3PR1Y1OzaP/kWygofP/sg/h6uNGzVROeGd6L/i/NQqNR8HBx4ef/PlzsMMW2Devw5k+/M+qtOSyc9gizHxvL+JlfoyoKem9/li9fjru7Oy+99BITJ05kzpw5aLVahgwZQufOnbnrrruIjY2ldevWqKpK165deeKJJ3jjjTfK4mUVlVD37t0BsFqtZGRk4Ofnh6dn2VefFEKI21FenomvPtvCr4v2o6oQWsePF17uzZo/jvD7ikMoFCZV/QaES29VBaWoVWCMjs1mIyHuFFZrCe70i6HV6agZEvavc2ry8/OL9EhdTKRCQ0MJDQ0lKCioQidSF6mqys6dO/n7778ZNGgQ9evX/9fj84wq36xVyTeV7roGJxjVScHf6/ZIrq7FarUSFxfH8ePHiY6ORlVV6tevT4MGDahTp06peiWtKWcx7/0TzKV8sS+naNDWb42+gVTtE7dGYmIiEydOxNPTk9dee+267yk3IjfXiMVc8g/NyoJOr8HNzbHljzMz8nn5heUOu/70t/ozfdpKh10f4LUZA/HyvrkPPoWoCPbuiuOdN//kfEIWWq3C2PvbMf6h9jg5Fd4nREWe42x8OrWCfSSpqsCqRI9VblbmDc+puhE2q5W8nGzcPC590lpcIhUcHExISAh9+/at0InUE088wV9//QXAkSNHqFOnDi4uLqiqynPPPUdubu6/llK/3IGT6hVFKoq3ZuGr5GalMGTSJ8XuLzDBtqMqg9qXPrFy5KK0Wq2WsLAwwsLC6N27NykpKRw/fpy///6bJUuWEBoaal8zy93d/aba1vjVBGd3MKdd/+AbpXdGV6dZ2bUnxBUCAwNZvnw5kZGRvPLKK8yZMwcPD49StWkx2xyaUEDhDb0QQtysnBwjn3+8mRVLDwJQv0F1nn/5Hho0rFHkuGYtakpCdRu4rRKr2NhYe6U0KOwNcHV15YMPPuDOO++85nlZGelFJs8/89wLNGxQn4cnPlSiOFRV5e233+bw0WM8/PDDxMXFkZ6eTnBwMKGhofTr14/AwMCrEqmEhASGDx/Otm3bSnTdW2XWrFn270NDQ1mwYAGhoaEsXLgQDw8PRo0adcM9K1FxYCujPtCzKWC1qaUuw15RFqVVFAV/f3/8/f256667yMvLIyYmhujoaNauXYuvr689yQoICLhulcGcnBzWnSugmwcYrj0y84ZZFCfiq3Wkvsbp9npjELcdrVZLq1atCAwM5PDhw7Rv397RIQkhRLnbvvUU7721luSkbPR6LfdP7MCY8Xeg01XMD+LF9d12908uLi4cOHDA/njRokVMmDCBEydOFHu81Wot096qi0wmI6mpqXh4eNC/f/9iE6krBQUFVbikqjgnT55k48aNnDp1ik8//ZQXX3yRBg0aMHv2bAICAujatSu+vr4cO3aMRx99lCVLltChQwe2/L2Vo9FnqNesB8Mmz0Gj0bB+ydsc3r0cszEfkzGX/ve/S7N2hRXrks4d47MXu5KXk0bNOhEMefhTDC4evDU5jHH/t4gGTdqQkgntWl5aVHbp0qW8+uqr2Gw2PDw8+OCDD2jbti3Tp08nNjaWxMRE4uLiqFmzJj/88EOFXpTW1dWV5s2b07x5c6xWK2fOnOH48eP88ssvWCwWe5JVp06dq6oDRkdHs2LFClq3bo1bnepYj+0As7HEsVgUPcmudUjQhZB9yswd9fQVpuy9qLyMRmO5LGQuhBAVSVZmPp98uJE/Vx0BoHHTAF54qTd16lZzcGSitG67xOpKqampBAYGYrPZeOqpp9ixYwfZ2dmoqsrcuXNp1TKCp599joyMDOLOxNO9W1cAdu/dx++r15CTk0Onu+7kfy88h06nY9EvS1jw80LMZjOZmZlMfngS48aOxmw2M/31N/l76zb8/Hzxr1aNkJAQ7rrrLs6ePcvgwYOJjY1FVVXuv/9+nn32WWJjY+nUqRONGzcmNjaW7777jrvvvrvImkUVidVqJT8/n127dlGrVi0iIyPZvXs3bm5uTJ8+nQkTJrB69WoAfHx8OHKk8A1hyZIlnDx5kp9/28hPG7J549GmnDq8Gb8aYZw4uJ5HX92A3tmFA3//zJqfp9sTq5TEGJ58dxduntX4adZ41i9+k37jZtjjMZohJftSfMeOHWPy5Mls27aNsLAwNmzYwKBBgzh+/DgAW7ZsYf/+/Xh6ejJw4EC++OILXn311XJ69UpHq9VSp04d6tSpwz333ENqairR0dFs27atyJDBsLAwduzYwfHjxxkxYgS1a9cGQEHFcmxniZIrs+JEimsdTvp2BCCnQOV0kpWwGrf924OoQHJzc5k7dy6DBw8mMDCQdevWkZ6e7pAhukII4Sh/bTzBBzPWkpaWh5OzjomT72TE6NZotWUw9EQ43G1355Sfn09ERAQA6enpJCYmsmzZMnbu3ElCQgLbt29Ho9EwY8YMZsyYwU8LfkBVVfILClj7R+Gk2meee4Hz58+zcMF8dDod4x+cyE8Lf2Ho4IH8tGgR386dg4+PD/v2H2DcAw8ybuxo5i/4idOxsaz9Y2XhGkRjxlHtnxLBY8eOZdCgQTz99NNkZmbSuXNngoODad++PWfPnuXHH3+kU6dOxMbGOuhVu77s7GwWL16MzWZjyJAhzJo1iwceeMBeMvzJJ5/kzTffxGQqLJTQqVOnIucPGDAAm6rB4OJJtYB65OWkUa9ZN+594lv2bVlAauJJ4k7sxFhwKals1n4I7l6Fi8je0W0Cq75/HsZdatOmwuX1RjZs2ECPHj0ICwsDCiuMVa9enb179wLQtWtXe4Wxli1bFllM93aiKArVqlWjWrVqdOzYkfz8fGJiYjh48CCrVq3C2dmZVq1aodPpUFUVRVHQhTQl28kfItfgZMlHi+W617GhwaJxJsa3I2muIZe2qxCfYqWmrxZnvfRaibKh1+vJzc1l2rRp5ObmUq9ePV577TX7AtNCCFGZpafl8tHMDWxcV/hhcPOWtXj+xXsIri1l0yuT2y6xunIo4Lp16xg8eDBRUVG88cYbzJkzh5MnT7Jp06YiE6LbtG5VpJ0hgwbZ12EaMmggGzZuZtzY0Xz95Rds2LSZ2Ng4jhw9Sm5uHgBbt21j0ID+ODk54eTkxOCBAzgdd4bc3Fy2bt3KmjVrAPDy8mLChAn88ccftG/fHp1OR4cOHW7xq1I6cXFxLFmypHBYmZsbBoMBq9VaZCiYzWbDYrHY56pdWWjBxcUFZx1oFEApLAh69tQ+vp0xhE79p9Ig4m7Cmnbm1y+n2M9RNJeGTqqqDY3unyFB/5yv1YCTHnsyd2VMF+Mym832GOxtV6JFaQ0GA0ajkYSEBPr27Yufnx8nTpzgl19+4aWXXqJ+/fr8+OOPZGlC+etsNT5/6zF2ffYqj7/3OU1rB/L00O72tqxosWr03Pn4K8z75Gtyg9pi1VxdycxshTMpVuoHFn2LWL58OevWrSsyL68qMqWkkXngKOa0TFDAyc8Hz4jGOPl6Ozq0CsvJyYlp06Y5OgwhhChXqqqyfs0xPp65gczMfFxc9DzyWGcGD49AU8o55KLiue0Sqyv17NmTevXq8ddff/H666/zzDPPMGjQIBo1asQPP/yAVqtFURTcrljM9vIuV5vNhk6vIzHxPENH3svoUSNp06YVfXrfw/qNm+zHXX6jrtPpUDQabDbbVTfwl9/sOzs7l8tCv+mZJn5ddY7IQ1nk5FpwctIQWMPA8AE1adLAo9j5Mqqqsn37drZt28bgwYOpV6+efV/v3r35+uuvGT16NG5ubsyaNYvOnTvj7Fx8OWFVVTHlJmI2+9q3nT6yhVp1W9Nl4FPYrFZ+/WoKNtulLqgju1fQY9g0DC6e7Fw7l0YtewPg7ulPfMweGjS5g+iDm0hMTASgR48evPbaa5w6dco+FDA+Pp527drdFnPXSiI/P5/ly5eTkZHBAw88QLVqheOv69SpQ3p6Om3btmXv3r389ttyWvSYCIoGq8aZfUHDSXNZSZJbbeI9mqNTTVgVLbl6P3Kc/fnw19FkXWcO1fn0qxOrgQMHMnBg1ax+lhd3jlMffM3539agWizYzGZsBYVDLzUGAxq9DkWvJ3BEH8KmPoBLrQAHRyyEEMKRUpJzeH/GWrb+dRKANm1DePZ/vQgM8nJwZOJWue0Tq+joaGJjY1m4cCEDBgzg0UcfJT8/n3feeQer1YqTs6HY81as+p17R45ERWXJb0sZNWI4Bw8dwtfXl8enPArAp5/PAQp7Srp26cyvvy1j8KCB9vObhofj4eFB+/bt+fTTT+1DAb///numTp1aPs//ZDZzvj/NsZhscnOtWKyXkrxDx7LYuS8ND3cdY4YG0//uQLTawptpo9Fov2GfOHEi3t7eRdp96KGHiI+Pp23btthsNurVq8eCBQuKHJOTk8PJkydJSUlh+fLlXLhwAU3N8fb9EXfdS9SOX5n5RFNU1Ubj1v3Iy0mjIL9w4lSNWo35+q2B5OemU6fRnXQb8jwAfe97m1+/nMKudV/Rq2srWrduDUCTJk347LPPGDp0KBaLBVdXV1asWIGXV+V8g4qNjeW3336jSZMmDBs27KoE/fPPP+fee++lUaNGHD8RQ7v+RYdUWTU6dh8+ysDNm8jLzaJ1h5488vQMtDodd7cwsHjTWZb8MIudWwrnzaGqnIqO4ulXPifx3Gl2bVmNm3Nh7+HBgweZO3cuWq2WxYsXs3KlY9eqKU/mzGwOPvI/UjfvKuyhKqYYjq3g0lpisbPnc27BMvx7daLZp9PRubuVZ7hCCCEcTFVVVq88zCcfbiQn24ibmxNTnupGv4HhUhiqkrutFgi+stw6FPYOvfjiizRv3pzRo0djsViwWCz06tWLJUuWcObMGUaNHEGDenXt5dWfee4FbDYbp06fJicnl3t69eTZp5+ioKCAx6c+zclTp1A0GtrdcQdr1q5j0U8/EBoSwlvvvMu69Rvx9vYmLKwOnl7efPvtt8TGxjJlyhTOnDmDyWRizJgxvPzyy8TFxREeHm4vVhEbG1vkcWn9vi6R2V+fIiv7+vNpDM4amjT0ZObL4WRlpbFw4UJCQkLo06fPDfeoWSwW4uPjiYmJ4eTJk2RmZlKnTh3q1q1L3bp18fb25uBpGxsOgqW0azGrNrS5UXRuaqNFixbl0utXUVitVjZv3sz+/fsZNGhQkZ7Ei44cOULLli1JSEjg1KlTdO7ShQWrYzh94hCz336Kr37dx7svTSQ25gjvz1uLTq/nv5P70+We4QwY+bA9sfLyuVSB6KsP/0fcySO8+vFitFotOg20qKNnxmv/5fDhwyxbtoz58+dXqcQqdctu9o99ClNKOqr5+r9nl1Oc9Dj7+9Jq0Sf4tG1xiyIU4PiFcaFiLEzr6NdBFggWAi6cz2Lmm2vYtSMWgA53hfHMC3dTvUbp1usTt4fb6m41NDQUq/Xad+z79+8v8vjjjz8G4Ksv55CZlmrf/v67MyiOi4sLc+d8XmTb22+8Zv/+pWn/5aVp/0VRFHyq+ePh5WOPa9WqVcXGe3kSdeXj0vhjw3lmzT1FTu6N3ewVGG1EHclk0tM7aBqyjXt63W0vAnItqqqSlpZmT6Ti4uLw9/enbt269O3bl1q1aqHRFK1i07i2wvZjKtn5JX1mhVycNXRvVo39e7awceNG2rZtS5s2bezz4iqr9PR0fv31V5ydnXnkkUeuuWjw559/Tv/+/fHz88PPz4/g4DqsWjKPJs3bFTmuZ/8xuLgW9pj06DeanVtWM2Dkw1e199uCT9m/ayPvz1trXzZABb749BPWr1/P5s2bK+wC17dK0uq/OHD/s5jTMkp0vmoyU3DuArsHPkyrnz+mWldZq0kIISqbqMhznI1Pp2Ytb06fTOGzWZvJzzPj6WXgiWe6c3fvxtJLVYXcVolVSXl4+ZCdkVFkfk9pKBoNbh6OG34WF5/H7LknbzipushsUYk7a6RR/V5ERBT/CXpBQQGnT58mJiaGU6dOYbVaqVu3Ls2bN2fw4MHXTWz0WoU+bVSW7Sgsl14STjq4swk0DgumcYMxJCUlsX37dj755BOaN29O+/bt8fGpfFV0oqKiWL16NXfddRft27e/5htxbm4u8+fPx9nZmdDQUAAyMrNY9tMXNGhStEiL5ooCITrd1WsGbV6zhF8XfMLH32+yJ2EA61b+zFcfvM2rr77Cpk2b8PT05MyZM+Tl5dnXcHNyciqDZ17xZB08xoEJJU+qLmdOzWD/6Kl02PQj7g3DSh+cEEKICuGjmev5ffkhVFTMJis2W+EgsC7d6/PUcz3x9ZOh4FVNlUistFotPtWqkZacjKqWbrFgRaPBz7/GVT015em7RXFk3sDwv+JYbVq27cnFaLTi7KzFZrORmJho75W6cOECwcHB1K1bl3bt2uHv73/Tn7TU9tfQvqGNHcdvPrly0kGDmtCizqVrVq9enUGDBtG9e3d27tzJV199RVhYGB07diQoKOjmLlABGY1G/vjjD86ePct9991HYGDgvx6/YMEC/Pz8iI6OtvcinT6bRrPGdchMTyly7KbVi+g77EFQVdYs/4E+Qx8osj9yz1989u7/8e6c3/GtFlBk+5wPXmDhzwupGVSDrKwssrKySE5OJi0trbAKYVYWOp0OT0/Pf/13rYInFZXNbGbvqCcwp2aUWZumlHT2jnqCznuXoVSxnj8hhKiMoiLP8fvyQxQUFL3RmfjonYx/sGJXgxa3TpVIrADcPLzIy82lIC+3xGW4FUXB1c0DV/dbP05WURTCw8PtVQ3z8vLw9PTkww8/Yec+K4lxy7Cac6hVb+xV527/ozctu3yDwbX4G/T8Aitdug2kQT0/wsPDiYqK4s8//6Rhw4Z07twZm81W6hLxdzTQYNDb+Osw5JuufzyAQQ8RYXBnE6XYZM7Dw4OePXvSqVMn9u3bx8KFC/H19aVjx47Uq1fvtuxqT0hIYMmSJdSuXZuHH374hnqAPv/8c55++ukiQ/O83XUMvncyS374pMixATVDeXpCD/Lysrmz+0B6DRxXZP9Hr01BQeGd/z2I9Z8e3Q5d+rH5z8Uoiobnnn3aPvx24MCBtG7dmtOnT/P4448Xrg+Xn29Pui7+O3PmjP37zMxMFEW5bvJlMBgqzM8v5q3PMSZcKPN28+POceqjb6n7zENl3rYQQojydTY+HcsV01MMBj3+1WUuVVVWZRIrRVHwDwgi4Uwsebm5ODldPSTqX8/XaHB1c8eveo1bFOHVNm7caC+vDfDee+/x0KQp1GzyEYEhg0rcrtFo49x5C+3b+vLII48wZMgQPvjgA+67776yCNuuWR0NITVU1uxXuZBe2HtluyKnVZTChMrLDe5ppeDvdf2ba2dnZzp06EDbtm05fPgw69evZ+3atXTo0IFmzZrdFoUuVFVl27ZtbNu2jb59+9K0adMbPvfiXEKj0ciRI0eIiori/PnzjJs0lQmPX5oT+Nzrc6/ZxtrIAgC+WR5V7P4HprxCiL+WeoFXv5YTJkwA/vmgwdUVV1dXAgKKLy2uqipGo/Gq5OvcuXMcO3bMnnxZrdbrJl+urq63PPmymc3EfbUQa15Bmbdtzckj9pPvCHvqARQH9ngLIYQoHVVV2bMzDov5ilFQCtQKrnxTFcSNq/h3oGXIarWy6s+1tLujDQaD4YbnXGm0WnyrVcfNw/MWR3htFouFM2fOgMYdk8nGmePfYDZlUrfZVDJTD3L68MeAgrt3I7isR+583AoSY5cAWpycfQgLfxIX92BQtNSqVYvp06eza9cuTp8+TXJyMpGRkYSHh/N///d/ZRK3p6vC8DsVcgtUYhJVziRBRm5hiB6uEOIPYYEK3m43f8Os1Wpp3rw5zZo14/Tp02zbtq1IoQuDofhS+46WnZ3N0qVLMZvNTJo06apS9//GarVy8uRJoqKiOHHiBHXq1KFNmzY0aNCAHKOGA7Hm0ldkBHRaCK5W+iFriqJgMBgwGAxUr179mscZjUays7OLJF8XLlzgxIkT9scmkwkPD49/Tb7c3NxKNUz3wsoN2PLLPqm6yJKbT8q6rfj36nTLriGEEOLWsVptfDBjHWtXHwVAr9ei02lQgX4DwmnWoqZjAxQOVaUSq9WrV+Pj40PziJbYbFayMtLJzcpEBdTLFvpVFAVF0aAoCh5eXrh7+TikIlq3bt1QFIWUlBQMBgP9+/fnnoGvse/QpWNsNjPH971Cg5Yv4l2tNcnn1nPhTGG524yUfZw7+RPN7/wMvbM3F+L/4OieF2nZ5VtUtfATlw8//JD9+/fz2GOPMXz4cHtvRFlzMyi0qKPQok7Zt60oCmFhYYSFhXH+/Hm2b9/OrFmzaNGiBe3bty+Tda6sVis5OXnk5RdgNJlQVdAoCs7OTri4GHB3d0V7Azf00dHRrFixglatWtGlS5cbSgJUVSUhIYGDBw9y+PBhfH19adasGX369ClSTMRbBz5uCilZKqVZQ0GrgRB/Lc768hua5+zsjLOzc5Ee2iuZzearkq/U1FROnz5tf5yfn4+7u/u/Jl/u7u7X/H3+/K2ZLEw7Qj42zKgEKHrGafxoqLjwivUsD2n8qa2UfM6YJSOLhEW/49+rExEREWzatOmmEmshhBCOYzJZeOPl39m0PhonZx2vzxiAu4eBs/Hp1Ar2kaRKVJ3EKioqitOnTzNp0iQURUGr1eHj54+3bzWsFgsmYwEWS2FBCJ1Oh5PBgFarc+i8j4tDAfft20ffvn3p1q0bh0/XAC7N/8jLOoWi6PCuVriIrn/NHpyMeh+AjKRdVAvqjt7ZG4AawX04fXg2xvzzKAoVZk5LWQoICGDIkCFkZmayc+dO5syZQ7169ejYseM1h6v9G7PFQnJyGvkFRmzFLAxrMpvJyc0jJTUdVxcD/v6+6Iq5abdYLKxdu5bjx48zfPhwQkJCrnvtjIwMDh48yMGDB1FVlWbNmvHggw/i6+t7zXOaBOvZGW2ioIQVGRUF3A0KIf4Vr8CCXq/H19f3X5+/1Wq9KvnKzMwkPj7e/jg3NxdXV9erEq5vvvmGHVG7eUEbSHWlcKhwpC2PV60JfKStzavaWmXyPDJ2RgJw4MCBMmlPCCHErZeXZ+LF55axZ2ccbm5OzPhwKC1aFv5dkIRKXFQlEqvk5GRWr17NuHHjrhoepigKOr0enf7m5lyVp1atWvHhhx8yYcIEpr/1O1rtlQlR0f4JRbm4DpGNq1MnFdVmQaupfEnV5by8vOjVqxedO3dm7969/Pjjj/j7+9OxY0fCwsJuKKnMyMwmLS0DazEJ1eVUVUVVVXJy88gvKMC/mi8e7pdKrCYnJ7NkyRL8/Px45JFHcHG59uKV+fn5HDlyhIMHD5KSkkKTJk0YPHgwNWvWvKGY9VqFO+o5sedkYXJ1M3VaNAp4uCi0CtPftkm3VqvF29v7X3uBbDYbOTk5RZKvuLg45s+fzxxDffytl7LSFhpXJuKPERsPWk7xX20Q+aqN+bYUAhQ9caoJCyqPaWvQRHEhV7XyuS2JU6oRBWituHG/phpaRWGw5QTtFTdij53htz17uOOOO0hOTv7XXjohhBCOl5WZz3NTf+XIoUR8fF15b9Zw6je89vB2UXVV+sTKZDLxyy+/0KNHjxL1WFQUo0eP5uuvv2b9H+/i7vWcfburZ11QIe3CDnxrtCf1/FYs5mwAfPzbcjLqA4LqDLcPBdTpPfHwroWrWjVWpjcYDNx55520b9/eXv1Qo9HQsWNHmjZtes0hYckp6WRlZ9vXpLhRVquNpORULBYr3l4e7N27lw0bNtCzZ09atmxZbMJitVo5ceIEBw8e5NSpU9StW9de6bAkQ1Cd9Qrt6jtx7JyFlGzbDc250msh2E9LnRra2zapulEajcbeS3XR+fPnCQ8PJyhBjzkvvcjx3TVXz608TgGPaqoTphj41ZbG99YUZuiCmWNLxgMtn2pDsKDymi2BX9V0Rii+WFBpq7jzcvXCeXFCCCEqvuSkbP7v8cWcPpVKQKAn788eQXBtKVAhilepEytVVVm1ahVBQUG0bNnS0eGU2uzZs2nevDn9hve2b9NodDS64w1ORn3AmeNf4eZZD71T4S+8t38bgsJGcGjHU6iqit7JiyZt38bNVY/3dRb6rWy0Wi0RERG0aNGCmJgYtm3bxvr162nfvj2tWrUqstZSRmZ2iZKqi2w2ldS0DHbu3EFc7GkefPDBq3olVFXl7NmzHDx4kCNHjuDv70/z5s0ZOHBgmRTd0GkVwmvryc63cTrJSnpOYa+b1VbYv6kBNJrCoX/VvTSE+uswOFXuhOrfqKpaOLfynz7ePNXG89Z4AAqwcZdStHxudfSEKYU/p3oYWE8WAHvVXN7VBqMoCnoU+iheLLdlMEJTOHyxqVI1PtAQQojK4Gx8Ok8/9gvnE7IIrePH+7OHSzl18a8qdWK1f/9+EhMTmThx4m33KXxxa201bNgQo9HIoWOZPPtqc7JzCueEeXg3IqLTl8W2Exg6hMDQIfbHWi20DPfmjf9+b9+2adMm+/fffvtt2TyBCkpRFOrXr0/9+vVJSEhg27ZtbNmyhVatWtGuXTsMBhdS0zJKnFRdpKoqIaF16da1K87Ol9amSktLs8+buljV8GYrA94MDxcNzUM0qKpKnlEl16hisxX+P3A3aDDoK+dcu5vVrl07jh07RrZPM5wBV0XDJ7rCeXALrClkUbTbz+mKQbaq/ataZI8KWC4bqmtAg9ZVkishhKjoYqKT+L/HF5OWlkfjpgG8+9EwvLzl/Vv8u0qbWJ0/f57169czYcKEG1p09XYS3siLQX0C+XXlOfLy/33+z+UUBQKrG/jvkw1vYXS3j6CgIIYPH056ejo7duzgs88+4+5effDwLH0VQSgsgpKRmY2HuwuHDx/m4MGDpKenEx4ezvDhwwkMDCy3pEZRFNwMCm4VswK9wwUFBfHkk0/y1udfM0V1sRevSFLNHKWAYG7sPaSl4sZKWwaTNP5YUFmtZtJSKdo77NmiUZnHL4QQouwcPHCWF576jZwcI63vqM2b7w3G1bVy3UuKW6NSJlYFBQX88ssv9O7dG39/f0eHc0s8fF8oh6KOc/SUAaPp+iW7tVqFoAADs9+OwM21Uv7Yr/L1118zZ84csrOzMRqNhIWF8cYbb9CuXbsix/n4+NCnTx86derM2YQL12jtaq9OfxkfHx+eePKpax6TmpbO9999TVhYGJ07d6Zu3bo3VGJdSnGXvzfffJNq8Sm8t+AHCqxWcrHhjobOGg/6Kd7stOZct41HNNWZY0tiijUOCyqtFTdGavzs+zUGZ6r363Yrn4YQQohS2L71FC8/vxyj0ULnbvV5+Y1+ODlVjfsmUXqV7n+KqqosX76cOnXq0KxZM0eHc8v89ddftGyUQP8+ffn6pzPk5FrIyrZcdZzBWYPBoKVTOz8en1gPV5eKV0b7Vpg2bRp//fUXixYtspc237BhA/3792fv3r3Url37qnMsVluZr1em0+mYOOlhfLxvrhdMSnE7xmOfvEfTNZGYU9Ov2ve1LqzwGwU+04TatzfXuNofeypantUGFtv2Sl0DnDw9qTmqH1D8cF8hhBCOs+7Po7z5yh9YrTb6DWrG//33brTaki86L6qeSpdY7dy5k4yMDIYOHeroUG6Zw4cPs3//fiZNmoS7uzv3dAvg8PFsvl8YR0xsLjabiqKAh7uO4f1r0qtrDQyGqpFQAVy4cIGPPvqIkydPEhh46Sa3e/fufPDBB+Tm5hIaGsrixYvt1dlCQ0P5/IsvqVe/IZ9/9inr16/BWGAkLy+P5/87jV69epOTnc3/pr3AsWNH8ff3R6vT0bp14fkbN6zni88/xWw2k5qaypChw5j61DMoisL777/Pwp9/wsPDg86dO7N06VJiY2OZMGECnp6eREVFER8fT/Pmzfn+++9xd3dHURQpxe0Aei8PqnVvT+KSP+E6ZfZvlqLVUr1fN5ljJYQQFdBvv+zno5nrUVUYPf4OJj/WWeYgi5tWqRKrs2fPsmXLFiZOnIhOV6meml1iYiK///479913H+7u7kDh/JnwRp68+0rl7aG7Gdu3b6dx48ZFkqqLxo0bd83zzBYL586dZfu2v/lhwUIMBgMrVy5n1kcf0qtXb2Z9/CHOBmdWr1lPeloagwf1p3XrNqiqytfzvuKdme8TGlqHCxcu0LVzR8bf/wCHD0Xx808/smfPHry8vJg4cWKRa14sx67RaGjXrh2//PILDzzwQJm/JuLGNf34ZVI378KUlFqm7Tr5+9Jk5gtl2qYQQojSUVWV7+ftYN6crQA88lgnxt7f7jpnCVG8SpN95OXlsXjxYgYMGICPT+VcXyAnJ4eff/6Zfv36FZs0iEIXS2dflJ2dTadOnYDC13DkyJHXPK9mzVq8O/MDli9bSlxcLJEH9pOXlwvAtm1bmfbiyyiKgq+fH3f3ugcoTGy/+HIeGzeuZ8XyZZw8GYOqquTn57F580b69utvnys1ZcoU1q9fb79m79697aXemzVrRlpaWpm/HuLmOPv70uSDaRyaMh1LZnaZtKnz9qTZ56+h9756TSwhhBCOYbOpzP5wI4t/3odGo/DMC3czYEhzR4clbmOVYuCoqqosXbqUJk2a0KhR5ay4ZbFYWLhwIS1btqRJkyaODqdCu1g6OzW1sMfBw8ODAwcOcODAAe677z6ysrJQFKXIHBeTyYSiKBw+dIiRI4aSk5PDXZ06M+mRyUWOu/z7i/Ox8vLyGDywH0cOH6Zp03Cef34aOp0OVVXRaot+dnHlHC4Xl0vDwq6MSThOzVH9qT1xJDov91K3pfPyoM6T91Ojf/cyiEwIIURZsFisvP3aHyz+eR86nYbpb/WXpEqUWqVIrP7++28KCgro0aOHo0O5JVRVZeXKlXh6etKlSxdHh1PhXSydPWLECM6cOWPfHhcXx9atW9Fqtfj7+7Nnzx6gcB2vxMREnHR6du/eSXizZjz40ETatm3HurVrsFoL59p07tKVxb8sxGazkZmZyfp1awGIjT1NTk4OU596hu49erJz5w5MJhM2q42u3bqz+o/fyczMBGDevHkyZvs20XjGc9R54n70viUvv6/39aLe84/Q4MXHyjAyIYQQpWEsMPPic8v5c9URXFz0vPPRULr2kKVoROnd9kMBY2Nj2blzJw8//HCZV3SrKLZv386FCxd44IEH5Kb8Br355pssWLCAMWPGkJubS2ZmJj4+Ptx7771MmTKFnTt38uijjzJnzhxat25N69atMRic6D9gIH/+uZre9/RAtal07dadzMwMcnJyePyJqbz80v/o3asHvn5+NGhY+CbcqFFjunXrTu97euDk5ETDBo2oV68+cXGxdO7SlQcefJAOHTrg6upK06ZNcXV1vU70oqJo8PIT+N/Thf1jp2JMTseWl39D52ndXHCuUY1WP32MV6umtzhKIYQQNyonx8i0Z37jwL6zeHgaePejoTRtFuTosEQloai38dijnJwcvvzySwYNGkTdunUdHc4tceLECZYvX87EiRPx8iqbhWtF8axWK7FnErCVYTW4w4eiiIs9yZNPPgnABx98wM6dO1m4cGGZXUPcelajiYQfl3Pyva8wp2dhycnDll9Q5BitqwtaNxec/Hyo+/zDBI3si6aSLU5eUWVm5PPyC8sdGsNrMwbi5e3Yio+Ofh2mv9Wf6dNWOuz6UDF+DqLiSk/L5f+eWMKJ40lU83fn/U+GU6euVN8VZadC9lipqlpY6lijoCjFj1a02WwsWbKEli1bVtqkKjk5maVLl3LvvfdKUlUOMjIySEtNwcvbp8x6BsObhbPgh+/46quvUBSF2rVr8+WXX5ZJ26L8aJ2dCH5gOMEPDCfvVDwZe6NI+2s3xvPJoCg4B/rj17ktXq3DcQ2t5ehwhRBCXCYq8hxHDiXyy097SbqQTc1a3rw/ezhBNb0dHZqoZCpEYqWqNqwp57AmxGDLzQCb9dJOjQaNqxfawLpo/WujaAoTrU2bNqEoSqWdc5SXl8dPP/3E3XffTXBwsKPDqdRycnLYvHkzR44c4c4770SrrVYmvVZarYaQ4Jr88ssvZRClqChcw4JxDQsmaERfR4cihBDiOj6auZ5Vy6IwGi0AeHoZmP3VaPyquTk4MlEZOTSxUlUVa+IpzKcjwWoBq7nY42zGfGxZKZhP7EUX0oS4Ah0HDhzg4YcfRqOpFPU3irBarfzyyy80atSIiIgIR4dTaZlMJrZt28auXbto0aIFU6ZMwdXVlcysHFJS07DZSj5KVqPRUMPfT1ZsF0IIIRwkKvIcvy8/ZE+qAIxGCwnnMiSxEreEwxIr1WzEFPUXtpz0ayZURVgtYLVgPhWJPjufEYMG2BfIrWxWr16NXq+nZ8+ejg6lUrJarezfv5/NmzdTp04dJk2aVGTtMy9Pd6wWC+mZWSVKrjQaDdV8vXFzkyIVQgghhKOcjU/nypH9GkXhbHw6zVrUdExQolJzSGKlmo0Y9/6Jmp8D3NyNq2Kz4u/mhHLhEGqtmijOlevmdffu3cTGxjJx4sRK2RvnSKqqcuzYMdavX4+npyejR48mKKj4SkC+vt7o9XqSU9Kw3sSwQK22sKdKkiohhBDCsWoF+3BliTb1n+1C3Arlnlipqg3jgfWo+dklbkMBMOZh3L8O57b9UDSVo8z66dOn2bx5Mw8++CDOzs6ODqdSOXPmDOvWrcNkMtG7d2/q1q173QIVHh5uuLgYSElNIzevANVmK/ZjAEVR0CgKbm6uVPPzkeF/QgghRAXQrEVN7unXhGVLIgEwuOjpNyBceqvELVPuiZUl7ghqXsmTqsupxjzMJ/fjVL9NmbTnSGlpaSxZsoRhw4bh6+vr6HAqjZSUFNavX09iYiLdunWjWbNmN9UTqNNpCajhj81mIzcvn7y8AowmE6qqoigKBmcnXF1ccHU1SA+jEEIIUcE8NPlOli2JxOCi5/1PhktSJW6pck2sVLMRy9ljYLNc/+AbYbNiPX8aW3AjNIbbd76V0Wjkp59+okuXLtSpU8fR4VQK2dnZbN68maNHj9KxY0eGDRuGTlfy/+4ajQYPdzc83GWyqxAl9dlnn7Fr1y4yMjIICQnh0UcfpVGjRo4OSwhRieXnFc7j9/IySFIlbrlyTaws56LBcgOFKm6qUROWM0dxanBH2bZbSqqqUmCyYbWpaBQFg5MGjebqoWcX1+MKDQ3ljjsq1nO4HRmNRrZt28bu3buJiIjgsccew8VFFosUoiJwdXXl1VdfJSgoiA0bNvD666/zww8/lNm6cUIIcaW8PBMArq6yYLu49Uo8dslqtfLBBx/Qpk0bIiIiaNKkCc8//zxGo/Ha5ySeBLX4QgBvff8bK7buve51G42eyt7jp/jrwBHaPPhCYbvJZ246/uXLl/PEE0/c9Hn/xmpTuZBm5OCpbPbHZHP0TC7R8bkci8/lwMlsDpzM4mxyAWbLpddg/fr1mM1mevfuXaaxVDVWq5Vdu3Yxe/ZsMjIyePjhh+nVq5ckVUJUIBMmTCAkJAS9Xk+vXr3IyMggMzPT0WEJISqxiz1WLpJYiXJQ4h6rRx99lPT0dNavX4+Xlxe5ubmMHTuWiRMnMn/+/KuOV60WVOu1hwBu3n+YxiEl7KJVVVRj3k1VCBw4cCADBw4s2fWuurxKaqaZM8kFWG3qVRVo7JUPrZCYaiQpw0QNHyeSzh7j6NGjTJw4Ea22chTgKG+qqnL06FHWr1+Pj48PY8eOJSAgwNFhCSGuIyYmBnd3dzw9PR0dSplQFMjMyHdoDKVZe0+Iykp6rER5KlFiFRsby4IFC0hMTLT/UXRzc+OLL75g69atREdHM2XKFLKzs0lMTCQiIoKfvvwURVV5/dslrPh7D3qdDj9Pd+Y8/zDLtuxh3/HTTJvzExqNQp/2LXnxy5/ZEnkUm02lRf0Q3ntsHJ7XKGF9Ii6ep1/sTU6ByX69hQsXYjAYMBgMvPDCC6xZs4bExESee+45Hn30Ub799lsWL17MypUrS/7qATZVJeZcHtl5Fqw3UJVbBSxWlXMpBWQbPRg5ajSurlKauyTi4uJYu3YtVquVvn37UrduXUeHJIS4ASaTiU8++YRRo0ZVmqIvVquN6dNK9/ektKa/1d+h1xeiIsr/J7FycdU7OBJRFZToL9revXtp2rTpVZ80BgQEMGzYML766ivuv/9+duzYQUxMDKdPn2bVH39w9kISny5ZzZbPXmPrF6/To00zdh89yeTBd9OqYR3eemQ0gzrdwXs/rUCn1bBtzhvsnPsWAX7evPTVwmvG882K9YwbPqTo9VatAgrn3FSrVo1t27axePFinnrqKQoKCkrytK+iqion4vPIzL2xpKooBQ8vP5JyDVjlU8abkpyczE8//cRvv/1G27ZtefjhhyWpEuI2YbVamTFjBiEhIQwZMsTR4QghKjnpsRLlqUQ9VhqNBtu/LJr6zjvvsHbtWt59912io6NJSEggJzePoNAaNAurTcdHXqRX2xb0atecbq3Crzr/j+37yczNY/3eQwCYLRb8va89XOT1h0ezMdFU9Ho5Ofb9gwYNAqBVq1YYjUZyc3NL8rSvcj7NRHa+pZihfzdKwWiycToxj3o1pdrc9WRnZ7Nx40aOHz/OXXfdxYgRI0pV6U8IUb5MJhMzZszA2dmZqVOnStEKIcQtJ3OsRHkq0V1pu3btOHr0KNnZ2Xh4eNi3nzt3jocffhh3d3csFgsjR46kX79+nDlzBlXnhEanY81HL7L3+Ck27jvM858t4O47mvPmI6OLtG+12Zg5ZRz3tGsBQE5+AQWma1cTHPfaLM6k59GkeQSNGjWiVq1aHD9+nMOHDwPYh5pc/COuljwTsjOabSSmGSltZ5MKZOZayMo14+km3dTFMRqNbN26lT179tCyZUup9CfEbchkMvHSSy9Rq1YtpkyZUmmGAAohKrY8GQooylGJEqugoCDGjh3Lgw8+yLx58/D09CQrK4v//Oc/+Pn5sXz5cjZv3kyLFi04fPgwO3fuZOTIkRyMieWB6R+x+bNXadOoLjV8vPhx7d+FgWi1mC2FxS163tGML5auoVurpui0Gqa8Nxc3FwOf/d/EYuPZuPcQGzdtJqxefXbs2MHbb79NQUGBPbH67LPP8Pb2ti+8u3XrVs6ePUtBQQH5+fkluklPTDVisZbNED6rDeKTjTSVxKoIq9XKnj172LJlC/Xq1eORRx7By8vL0WEJIUogPT2dgwcPcujQIVavXm3fPmbMGMaOHevAyIQQlVl+fuEH8zIUUJSHEo+j+uyzz3j99dfp2LEjOp0Oo9HI4MGDefXVV5k7dy5DhgzBzc0NLy8vunTpwsmTJ7lvRDeGdm3HXZNfws3FgIuznvceGw9Av46teHnuIkwWC/8dN4T/fvEjHR7+H1abjeb1Qpjx6JhrxvLqo+MZNmKk/Xrdu3fH2dmZkSNHMmrUKKZOnYrBYCAtLQ0ovGFPTEwkKSmJjz/+GEVR8PX1LfbfwYMHmTZtGqmpqdhsNoKDg5k5cyYm59o8/tAQXn9vLt4+fiV9Ge2MZhsmsw0nfdFPcffs2cOMGTNYvHhxqa9xu1BVlcOHD7Nhwwb8/PwYN24cNWrUcHRYQohSqFGjBn/88YejwxBCVDF5uf/0WLlIYiVuPUUti3FxN8iamoDpyN9lu0iwVoe+wR3oAsJKdLqqquTl5ZGWlmb/l56eTlpaGklJSbz55ptMnTqViIgIfH192b59O5999jlL10fRrokff247WSaJlaJAWKALfp4V+xdfVVXUglzU7DRseZlgU8HJGY2HLxp3HxRt6eY8xcbGsnbtWlRVpWfPnoSFleznKoSoOjIz8nn5heUOjWH6W/0rRFVAR8bg6OsDvDZjIF7eMlRcXDLj9dX8vvwQz714D/0HNXN0OKKSK9eZ/xrfQBS9AbUsEyudE9rqISU+XVEU3NzccHNzIzg4uMi+9PR0Xn75ZVq3bk2DBg1IS0ujadOmjH/gEV6d9hgA/7l/AB/OWcQj9/WhafM2xEQf5tGpL1E7tB4z33iWrIw0UBTGTniMvoNH88uCr1i2+Dv7NU6fPM64h57Er1oNVv32PU66wh6rI0eO8Pzzz9OjRw8ee+wxDh06VOLnWBZUsxHLuRNYEqLBZgOrBWzWSwfonEBR0Lj7oAtthta7+k21n5SUxLp160hOTqZ79+6Eh4fLxHYhhBBClIq93LqLTLcQt165JlaKouAU3gnj/nVgMZW6PaNVRRsSgaK5NYvr+vj48O6773LfffcREBDAnXfeSbdu3Zg0+TFSc7X8vvQnPvtuhb3HKqx+Y9788JvCwh192/D4/71Gt14DSU5K5IGRPQgOqcuIsZMYMXYSAEt+msfyJfO5f9JTuLi6MemRR2lQy43PP/+cefPm8cILL7B79+5b8txuhuVCHOYTewp/Zuo1qkH+8/O0pZ/HlJ2GxsMPpyYdUZwM/9p2VlYWGzdu5MSJE9x1112MHDlSKv0JIYQQokzk/VMV0NWtYo8IEpVDuZdl0rj7oKvdBLSl/ORAqyNN68FXC3/jzJkzZRNcMZ5++mkuXLjArFmzCAwM5J133qFXt/bkZGdedWxEmw4AnImNwWQ00q3XQAD8qwfSrdcAtv+9zn7sprUrWPDNJ3zw+UJcXAtLrSvAb7/9xnvvvcfKlStxc3NsCXZVVTEe2Yo5eieYC66dVF3JYsKWnkjB7lXYstOKPaSgoIB169bxxRdf4O7uzmOPPUb79u0lqRJCCCFEmZEeK1GeHFLvVh/SFF1wI9CV8D+5Vo82IIw6XQcyYMAAFi1axK5du8qkjPrltm7dysyZM/Hw8KB///68++67HD58GK1GYfe2TVcd7+rqDoDNZi2cNHUZ1WbD8k/Vw8h9O5j5+rO899nP+PkXFmVQVZVffv6Ohx56iOnTp5ORkUFaWlqZP6cbpaoqpiNbsSWfLfmcOFMBxsgN2HIz7JssFgs7duxg9uzZ5ObmMnnyZHr06IHB8O89W0IIIYQQNytfeqxEOXLYQiL6Os3RN7kLnFyuSkKuTQG9AX3Ddjg1uANFUahfvz4PPvgg+/btY+nSpZjNZTd/y9/fnzfeeIO///7bvi0xMZHs7CzqN2qKVqvFUsz1Qus0QKfTsXFN4WTq5KRENq5ZQduOXTl98jjTpk7gtfe+IqxeI/s58bHRfDzzNd59910CAgLYu3cv3333HQsWLCA9PZ1ly5axbds2YmJiyMrKuuUJl/X8KWypCWCzlK4hsxHTwU3YrBaioqL49NNPOXXqFOPHj2fQoEF4el574WchhBBCiNKwr2MlVQFFOXDouCudXxDadgOwxB/FkhBTWBTBYqJw2dyLlMKeLY0GXY0wdCFNUPTORdrx9fXloYceYsWKFcybN49Ro0bh4+NT6vgaNGjA0qVLmTZtGmfPnsVgMODl5cU333xDYL0GdL9nMJPH9+OdWfOLPi+9nndnL+CDN59n7qczsFitPPSf52jTrjNPTByK2Wxi1rsvYbUWJi2Nm7Yk6cI5rFYLX3zxhb1nq02bNowcOZItW7ZQq1YtkpKSiImJISkpCYvFQvXq1alevTr+/v7278ti+KBqysd8cj9YyyZJtRrzOLDsB/ammhk0aBChoaFl0q4QQgghxL+5mFjJOlaiPDh8Qoui06Ov0xxdaDhqdjrWrBRsmSmFVee0WjSefmg8q6Hx8EPRXLuDTa/XM2TIEHbt2sW8efMYPHgw9erVK3V83bp1o1u3bldtT0o38uYH87jYcbR0fVSR/Q0aNeOL+b9fdd6sub8We51qXnrCAl2L3Xf8+PGrtuXm5pKcnExSUhJJSUkcPnyYpKQkdDrdVcmWv7//TQ21M585AubSFxe5SKOqNPA1EDFgDBq9vLEJIYQQ1xIXF0dycjI5OTm4ublRvXp1QkJKXv24qrPPsXKVOVbi1nN4YnWRomhQPP3QePpBrYYlbEOhXbt2BAQEsGTJEtq0aUOnTp1uSdnual5OJKYZMZpLPyRPp1Wo5X9zc4wuloi/vPdHVVWys7PtydbZs2fZt28fycnJuLi4UL16daxWKw888ACNGjVCp9Nhs9lwdXXlgw8+wNnZmRlvv838p8ZQtNfw+h5+Zw5NQmsxdVS/YvdrFRXr+ZNoghtfs42quBiyEEIIkZ6ezpIlS9iwYQO5ublUq1YNLy8vMjMzSU1NxdXVlW7dujFs2DB8fX0dHe5tw2q1UVBgQVGkeIUoHxUmsSpLISEhTJo0iUWLFpGQkMDgwYPLvDiCRqNQr6Ybx87kYL3BYnnF0Wog2N9gX7+qNBRFwdPTE09PzyK9daqqkpGRQVJSEpGRkTg5OfHYY4+RlpaGp6cnMTExjBo1itWrV/PFBzPgzIFSx3IVmw3rhVj0/5JYtWnTRpIqIYQQVcqff/7Jl19+Sbt27XjmmWeIiIhAq720jIzVamXPnj2sWbOGiRMn8sgjj3DPPfc4MOLbR0F+4ZQGF1cnWRtTlItKmVgBeHh4MGHCBFavXs1XX33FqFGjqF795hatvR43g5aQGi7EXcgvUXKl1YC/txP+3rd2eJyiKPj4+ODj44OzszNarZZHH30Uq9VKWloas2bNwtfXl19++YXvv55L1LfvsPNwNM9/tgCrzYaiKDw7ZgCDO7clJ7+Ap2d9x47DJ9BpNfS/szWvPjQSgB2HT9DtsVdJSs+kSZ1afPu//+DmYuBY3DmenT2f1Ow8VBcPnnjiCR588EE2bdrEk08+iZubGzk5OcycOZNnnnnG4YshCyGEEOXll19+YcaMGdSvX7/Y/Vqtlnbt2tGuXTsOHTrEzJkzJbG6QXlSal2Us0qbWEHhm1G/fv04cOAA3333HX379qVp06Zleo1qXk4oisqx2Az0eucbrnCo0yoE+joT6Od8/YPLWH5+PhEREUDh8IPExESWLVuGi4sLi3/8Aa1G4Y1vl/DEiD6M6N6BqJNnmLdyA4M7t+X1bxZjNJnZ/827WG02+j87gy2RRwFISEln9QfTcNbr6fSfl1m2ZQ8je3Rg7PRZzP3vZFo2bYSxcVc6dupMkyZNADh06BCnTp0iJCSETZs2lftrIYQQQjjShx9+iIeHxw0dGx4ezscff3yLI6o87KXWpXCFKCeVOrG6KCIigho1arBo0SLOnTtHz5490fxLIYybFX14H6dOnqZ910Fk51uxWtVrzlDSacHgpCUs0AWDk/YaR91aLi4uHDhwwP543bp1DB48mE8++YSLc6uGdm3HU7O+4/ft++nWqqm9V2rjvsPMeHQsWq0GrVbDmo9eBOCHP7cw4K7WuBoKE8WmdWqRnJHFifjznEpIYvLMr0BR0Lh6kZ+fz/79+2ncuDHBwcEyKVcIIUSVdXlSdfr0aTIyMmjZsqV928GDB/Hw8KBOnToAeHt7l3eIty17j5UkVqKcOGwdq/IWGBjIpEmTuHDhAvPnzyc3N7dM2k1JSWHLli3069ub+rXcaB7mTnB1A15uOpz0CnqdgpNOwcNVS81qzjQN9aBJiLvDkqri9OzZk3r16uHs7IztnzKHEwf0YNfct+neOpx1e6JoO/G/FJhMaDWaIp1yZ5NSSc3MBkB/2ZhwRVFQVRWrzYaXuws7v3qLnd+8x/59+9ixYwcPPPAAAO7u7uX3RIUQQogK7IsvviA9Pb3Itry8PL744gsHRXR7y88vTKwK8k1ERZ5zcDSiKqgyiRWAq6srY8eOpVatWnz11VecO3ftXzJVVTkRb+azXzJ5bW46L36Wxuvz0vnqtyziEgu7lm02G8uXL6dLly72Kj06rYYAX2caBrsRUdeTlvU8iajnSePa7tSsZsBZXzFe8gsXLnDo0CE2bNjAhx9+SHR0NAsXLiS/wITFBt0ee5XImFjG9e7M7KcfJDM3jwtpmXRvHc6CP//GZrNhNJkZM30WWyKPXfM6DYIDMTg58dPav0Gj4WxCAuHh4ezdu7ccn60QQghR8Z08eZL27dsX2daqVStiYmIcFNHt7ef5ewA4G5/BM48t5qOZ6x0ckajsqsRQwMtpNBp69OhBUFAQP/74Iz169KBVq1b2/WaLyl/7C1izI4/8ApXcgqKD+mITLBw6acLdVUOD6gmAQtu2bcv5WdwYq9VKamqqfb2r5ORkjh07Rl5eHq1bt0an06HT6dBoNHz88ceEhYXx5OOPo3N25s1H7uX/Zs/n1a8XowDTxg8hJMCfaeOH8H+fzqfdpGlYbTaGdW3P4M538Pv2fcXG4KTXseiNp3h29nw+XPwnFq0zr7/+OnfeeafMqRJCCCEu4+7uTk5ODq6ul9a1TE9Px83NzYFR3Z6iIs+xZ1ccADabSkGBmd9XHKJHr0Y0a1HTwdGJyqrKJVYXNW7cGH9/fxYuXMi5c+fo06cPRrOG937IIDHFitly7XNz8lVy8q1cSPUlrGZ/TBZwdmDBGZvNRlpamj15uvg1PT0dT09P+yLBjRs3pkuXLkybNg2drvgf/aEjRyjYsZyOzRqybc4bV+13czHw+f9Numr7l88/cs3HzeuG8OesV9E36YiuWi379q5duxapAHjlYyGEEKIq6dKlC++++y6TJk2iRo0anD9/nnnz5tGpUydHh3bbORufjvWKks3KP9slsRK3SpVNrACqVavGxIkTWbZsGXPnfU+saQCpmWC7wbVxVfTEnYd3v8vgvw94o9Pe2jUSbDYb6enp9sTpYhKVlpaGh4eHPYFq2LAhnTp1ws/PD73+5jM+be3GWE7sBZu17ILX6tD6BZVde0IIIUQlc9999zFv3jyef/55zGYzer2eHj16MH78eEeHdtvJyzVhu+KGTgVqBfs4JiBRJVTpxArA2dmZESNG8L/ZZ0jOsAI3V1TCYoVzyRbmLs1i8jCvMolJVdViE6jU1FTc3d3x9/fH39+fevXq0aFDB/z9/UuUQF2LLqAu1jNHUfOzy6hBJ/T1WqMoFWN+mRBCCFER6fV6Jk+ezOTJk8nIyMDLy0sWti0BVVXZsPY4ADqdBr1eiwr0GxAuvVXilqryiRXAmfMWco1ucM0i6f/ObIGjp82kZVnx9bzxxExVVTIyMooM30tOTiYlJQVXV1d7AhUWFka7du3w9/fHyenWlwxVNBqcwjth3L8OLKZSNqag8fRDV0NKqgshhBA3Ssqql9yu7bFERZ7Dy8uFV97sT3JyNrWCfSSpErdcpU6sYmNjqVu3Ls2aNbNvU1WVJ598kgcffNC+bdXfeeTklyypuii3QGXtjnxG9bq6fLiqqmRmZpKcnMz48eMZM2YMBoOB5ORkXFxc7AlUaGgod9xxB/7+/jg7l//CwZfTuPugb3AH5ujdJU+uFAXF1Qun8M5lG5wQQgghRDFUVWXuF38DMOb+trRpJx/sivJTqRMruHox3HPnzhEeHk6bNm1o3rw5eQU2jp8xl/o6qgo7DhXQ6w4rqanJV/VCOTk5Ub16dV555RX8/f3t86EMBkOpr32r6GqEgkaL+fhOMBtv7mStHo2HL07NuqBoK/1/MyGEEEJUAH9vjuH40Qv4+rkxZESEo8MRVUyVu+OtWbMm9evXJzo6mt27d/P+h5+SnGZG7+JDh34z8Pavz1+/Po4xP4PstFiCG95Nfk4yPtUb0eyuKQD89evj+FRvRJ1mg1m34D572/k5SXz9moXpr7zE7Nmz0Wq16PV6UlJScHJyIj4+ntDQUBYvXkxwcLCjXoKbovMPRutZDdORrdhyMsBynQRLowOtDn3dCLQBYTI2XAghhBDlwmZTmfvFVgDGPdgOg8GBJZtFlVTlEqvt27cTExODv78/s2bNYvbcdfy03kp89EbW/zSBYU8U/kJazHkMfXwLUJhIFcfdqyaD/7MRgOz0OFZ/O5SPP/2GCaN78NRTTwFw+vRpunXrxvfff18Oz+7WUJxdcG7ZE1teFpa4w9jSz6NeVTFQQXF2QRfcCG31EBTNzRUBEUIIIYQojY3rjnP6ZArVa3gwYHBzR4cjqqBKn1jl5+cTEREBgMVioVq1aixYsIBVq1YRExPDI/d3Iy2rMEkwFWRgzEsHoEbtdjd8jYLcVNbMH0373v+j9R132benpKTQp08f3n77bTp3vv3nGWlcPXFq3AEA1WpBNeaBakPROYGTi/ROCSGEEGUgPj4ei8VCnTp1HB3KbcNisfH1nMIPxydM7ICTU6W/xRUVUKX/X3flHKuL1q1bx7hx4xj1wGvMXZpFgdFGXvZ5nFy8AdA7XVrlvDBhuFTcwma9NCfLYspj7YL7qBcxikathuFqKCwpnpeXR//+/bn//vsZPXr0LXlujqRodSiuno4OQwghhKh0Pv30UwoKCvjoo48cHcptY+0fR4g/k07NWt707t/U0eGIKqrKLix0zz338NNPP+GiSUavUzi251v++HZYsccaXP1ISYgEIC/rPOdjtwFgs1nZuGgSvgFNadH5SRQFgvy1WK1WRo4cSUREBP/973/L7TkJIYQQ4vYWExNDWloaVquVQ4cOOTqc24LZbOWbuYX3Zg9M6ohOJ9MRhGNU+h6ra+nVqxfPP/88I4b2JjVTxaZxp8fob4odzta4/UQ2L36UxR93wMM7mMCwwuF+pw8tIz56LdWCIlj6WXdcDQqb52t49tlnWbVqFW3atKFly5aoamFv1++//16uz1EIIYQQt5elS5cyaNAgnJ2d+fXXXwkPD3d0SBXe78ujOJ+QRWgdP3rc08jR4YgqrFInVqGhoeTk5Fxz/5QpU5gyZQpHTpv4fHEWeQWFCVDnoZ8UOc7dqyb9HlpebBt1mw8tPMZF4dnx3tSqXviSjh07ttjjY2Njb/ZpCCGEEKIKSE1NZd++fTzxxBNoNBq+/fZbEhISCAoKcnRoFZaxwMx383YA8ODkO9Fqq+xgLFEByP8+oHGoHk+3kr8UGgWq+2rtSZUQQgghxM1asWIFPXr0wMnJCZ1OR9++fVm6dKmjw6rQlv16kJTkHOo3rE7nrvUdHY6o4iSxorA4xTNjvfByL9nL4eOp4cnRXmUclRBCCCGqioKCAlavXs2gQYPs2/r27cvmzZv/dfRNVZaXZ2LBdzsBmDj5TjQaqU4sHEsSq3/4eml5bpwXPp43/pJoFKjuo+GFCd64u8hLKYQQQoiSiYuLY9iwYVSrVs2+zdvbmzFjxsg0gmv4ddF+0tPyaNoskPZ3hjk6HCEq9xyrmxVQTcfLE334eU0Oh0+ZMJpUzJarj3PSg7NeoVUjZ0b0dMPFWZIqIYQQQpRcw4YNadiw4VXbL+/BEpfk5Bj5af5uACZOvkvW0hQVgiRWV/B00/DwEE/yjTb+jixg4+4CjCYbNhU0ioKri0Kv9i60Dzeg18kvsRBC3Iy0tDRee+01hg0bRqdOnRwdjhDiBrz44oscPXqURYsWodVWjFLmi37cQ3ZWAS1bB9PqjtqODkcIQBKra3Jx1nB3W1fubuvq6FCEEKJSWLhwId9//z02m83RoQghbsIbb7zBc8895+gw7DIz8ln0414AHpp8p/RWiQpDxrAJIYQoF6NGjWLVqlU0a9bM0aEIUamlpaUxdepUtmzZUmT7hQsXePbZZxk4cCCTJk0iKirKQRGWzo/zd5GXa6Jdh1CaR9RydDhC2EmPlRBCCCEqBUUp7M1wJJ1eg5ubs8Ou/289wx9++CFNmzZl+vTp7Nq1ixkzZvDNN9+Qm5vLu+++W+TYRo0acf/995dX2DcsNSWXXxfuB+ChyXc5OBohipLESgghhBCVgtVqY/q0lQ6N4bUZA0t87pkzZ6hdu+h8IZPJRFpaGgEBATfUxqhRoxg1atRVQ/eys7M5evQor732Gk5OTnTr1o1FixZx5MgRIiIiePvtt0scd3n64dudGI0WOnWtR6MmN/aaCFFeZCigEEIIIUQFMGXKlKu25efn8+STT5a67fPnz+Pt7Y2Tk5N9W82aNUlISLjuue+//z5nzpzh3XffJTExsdSxlNSF81ks/zUSRYEHH7nTYXEIcS3SYyWEEEIIUQGoqnrVtqysLMxmc6nbNhqNODsXHaLo7OyM0Wi87rnPPPNMqa9fFr7/egdms5UevRpRt56/o8MR4iqSWAkhhBBCONCUKVNQFAVVVXnsscfs21VVJTExkc6dO5f6Gs7Ozlit1iLbiku2KqpzZzP4ffkhNBqFByZ1dHQ4QhRLEishhBDl4tdff2XhwoXk5uYSExPD7NmzmT9/fpGhSUJURYMHDwbgo48+KrIgsFarpXr16oSHh5f6GgEBASQnJ1NQUIDBYADg3Llz9OvXr9Rtl4dv527DarXRp39Taof6OjocIYoliZUQQohyMXToUIYOHeroMISocO6++24AwsPDCQwMvCXX8PDwoHHjxixcuJCRI0eye/duMjMzadq06S25XlmKPZ3K2j+OotVquH9iB0eHI8Q1SWIlhBBCCFEBBAYGcujQIeLi4rBYLEX2Xd6T9W/+rWf4ySef5P3332fx4sUEBATwwgsv3BY9xt98uQ2bTWXQsOYE1fR2dDhCXJMkVkIIIW7I008/zQcffFBkW2pqKp988gnTp093TFBCVCJffPEFq1evJjQ0tMjcJ0VRbjix+ree4aCgIN5///0yibW8xEQnsXHdcZyctIx7oL2jwxHiX91WidVdAzajaAorxCsaBUXRFH7VaNBc8fjiMRr7tkv7NRoNiqJcaueq4xQ0mov7C48tPE+59P0/Xy/FcuX+S20D9uMVBftxhduwx6L5Z7/9fEVBc9l+RfNPOwqXtYP9WsClxwr/nPtPO/9ssx+jKXrs5d8XHqNesU8tchyAgnrZef98/8+2Im1w8VzVvl9RVHsbl45R7V81FD3m8n0KF9sp/N5+zOXHXfavcL+tcJ/6z3bVVuQrcNm2K/arKgr/LLR4xT77Y1UF1VakHS7frl46/uIx9v22f7ZffAz/nHP1fi4+th9zxX7bxa+X4r24Xb1sv2q7FMvF81VbccddOkb951rqZfvUi9f55zzVdukY9bJzCsNVL22/7Kv92vZjbFcda7NeeUxx+9V/9hfdptpsqNaix9isKqr1suOsKjaLimou/ArYv1fNNvu+fubjxbwzVR0nTpy4apvBYGD//v0OiEaIymfDhg3MmjXrqrWsqrJ5c7YCMGhYBNVreDg4GiH+3W2VWAkhhCh/y5YtAworlF38/uLjgwcPEhwc7KjQhKhU3N3d8fHxcXQYFcaRw4ls/eskBoOO+ya0dXQ4QlyXJFZCCCH+1bZt2wCw2Wz27wE0Gg3Vq1fnwQcfdFRoQlQqvXr14s8//2T48OGODqVCmPdFYW/V8Htb4+Pr5uBohLg+SayEEEL8q3feeQeAH374gfvuu8/B0QhReS1atAiTycTChQuv2vfLL784ICLHObAvnt07YnFzc+Le+9o4OhwhbogkVkIIIW7IxaTKZDJhNpuL7HNzk0+ThSgtKQJTSFVV5v7TWzVqbBs8vVwcHJEQ/9/enYdFed3tA7+BYQYhA4giYyCggldEttTEQlAriz8b4+XEqCmJSxAVcYkxidqoWIwLigtqjXWJIrgmiFWLu75Ba15SECkGYxCNNSwimynIMsKA8/5hnV9HQGccmI37c11ckfMcnrnPYSB8n+U86mFhRUREasnJycHmzZtRXl6ubFMoFDAzM8PJkyf1mIzINPj6+ir/LZPJ0KVL5yworlwuQG5OMWztrPDeB6/rOw6R2lhYERGRWrZs2YLhw4dj0KBBKktBE1H7ePDgAbZt24bMzEzI5XIcP34cZ8+eRWlpKcLDw/UdTycUCgV2bftfAMD4D38Lm5f4u4aMh7m+AxARkXGoqanB2LFj4erqCicnJ5UPItLeli1bAABr166F+X8eHePt7Y3vvvtOn7F0Kv3SbeRdL4WDgzXefe81fcch0ggLKyIiUstrr72G69ev6zsGkcm6evUq5syZAw8PD+UzLCUSCSorK/WcTDcePVIon1s1MSIAXboI9ZyISDO8FJCIiNTS1NSELVu2wN/fv8W26dOn6yERkWmxtraGTCaDtbW1su3evXvo1q2bHlPpzsVv83H7VgUce4gx6l3f538BkYHhGSsiIlLLSy+9BC8vL9TW1rb4ICLtBQUFYe3atbhz5w4AoLCwEFu2bEFQUJB+g+lAU9Mj7N7x+Dl54VMDIBLx2D8ZH75riYhILZ999pm+IxCZtIkTJyIxMRHz5s1DY2MjPv74YwwfPhxhYWH6jtbh/udsHgoLfsXLznZ4W+qt7zhEL4SFFRERqeXJUfTW9O7dW4dJiEyTQCBAZGQkIiMjUVVVBTs7O+W9VqasqakZiV89Pls1OTIQAoGFnhMRvRgWVkREpJbZs2e3aHvyRx+fY0X04rKzs3H69GksXLgQAsHjP83s7e2hUCgQHx+PoKAgvP666T7P6VTqj7hXUg3XXg74f2956jsO0QszqsLqf48P1cvr7t+/HxMnTtTLa2tDu9xPHyHTzRGzzjnX+sPcpIlTp061aNu7dy9sbGz0kIbIdJw6dQq+vr7KouoJMzMz+Pr64sSJEyZbWDU0NGFPQgYAYMr0QFhY8PZ/Ml5896rhwIED+o7wQowxtzFmBphb14w1tymSSqWtFlxEpL78/Hz87ne/a3Wbv78/8vLydJxId44fzUVFeQ3c+zoiKPRVfcch0goLKyIiemGNjY2oqqrSdwwio1ZTUwNbW9tWt1lbW6O+vl7HiXRDJmvE/sTHZ6umRg2Cubnp309Gps2oLgUkIiL9Wb58ucqN9HK5/JlH2olIPY6OjigoKECfPn1abLtz547JPsfqaMpV/PprPfr1l2DQ79z1HYdIayysiIhILe7uqn/4CAQCvP32260+MJiI1DdkyBB89dVXWLZsGUQikbK9vr4eX331FQYNGqTHdB2jrrYBB/deBgBMmzm4U6x+SKaPhZUaJkyYoO8IL8QYcxtjZoC5dc1Ycxs7zjtRx/jggw8QHR2NqVOnIjAwED169EBVVRUuXryIbt26meRiPSlfZ+NB9UP4/sYFA/3d9B2HqF2wsFKDsf5CM8bcxpgZYG5dM9bcpqCwsBDffvstKioq4OjoiGHDhuGVV17RdywioyYUChEXF4cLFy4gOzsbxcXFsLW1xaRJkxASEgJLS0t9R2xXGen/wv6kTADAtBmDeLaKTAYLKyIiUktWVhZWr14Nf39/9OjRA+Xl5Zg7dy4WL16MN954Q9/xiIyahYUFhg0bhmHDhuk7SofatO5b/O3ID2huegRzczNc/PYmXhvAgzNkGlhYERGRWvbs2YNFixZh4MCByrasrCwkJiaysCJ6QT/++CO8vb3V7n/r1i307du3AxN1nGs/3MWp1GtobnoEAHj0SIFTx39E6PB+8PFz1nM6Iu1xuXUiIlJLSUkJXnvtNZU2Pz8/3Lt3Tz+BiEzA0qVLkZKSArlc/sx+zc3NOHbsGJYsWaKjZO2vuOjfLS77M/tPO5Ep6LRnrMrKyrB+/Xrk5+fDyckJH3/8MXx8fFr0y83NRVJSEgoKCmBubg4/Pz/MnTsXYrEYADBixAiYm///+rRLly44fPiwXjP/t3Xr1uH27dvYvn27si0tLQ1JSUmorq7GG2+8gXnz5sHa2rpDMrdnbl3OtSa5c3Nz8fnnn6tk++1vf4ulS5cCMNz5fl5uQ51vAKisrERiYiKuXLmC+vp6rF+/Hq+++vjBkrqe787ExcUFV65cwZtvvqlsy8rKgouLix5TERm3+Ph4bNiwAampqQgKCkJAQAB69uwJOzs7PHjwAGVlZbh8+TLS0tIgFosRFxen78gvzOWVrlAoVNsU/2knMgWdtrDauHEjvLy88MUXX+Dy5cuIi4tDYmIihEKhSj+BQIApU6bAw8MDzc3NiIuLQ2pqqsrqWAcPHoSdnZ3BZH4iKSkJRUVFKm2lpaXYtm0bli5dCjc3N2zevBn79u1DVFSUQed+QldzDWiW283NTaUIfMLQ57ut3E8Y4nzLZDIsXLgQI0eOxIwZMyAQCJRHQPUx351JREQEli9fDj8/Pzg6OqK8vBzXrl1TFuNEpLlevXph8+bNyMjIQFpaGpYvX46amhqYmZlBoVBALBbD19cXUVFRKgc1jJGPnzPelnrj1PEfYYbHRdXIUd68DJBMRqe8FLCmpgZ5eXkYP348bGxsEBwcDFtbW/z0008t+vbv3x/e3t6wsrJCfX096uvrWzzLxdAyA8CZM2fwyy+/ICIiQqU9IyMDAQEB8Pb2hlgsRlhYGNLT0w0+t65pmrsthj7fhkKT3CdPnsSAAQPw7rvvQiwWo0uXLrCysgKg+/nuLOrq6nDt2jX4+vpi27Zt6NevHxQKBTw9PbFs2TJ4eHjoOyKR0QsICMDixYuRnJyMI0eOYO/evThy5AiSk5MRHR1t9EXVE58sCEX8l+PwyR8f/3fuglB9RyJqN53yjFVpaSns7e1VjoQ7Ozu3ev/AE59//jlyc3MxceJEBAQEqGybOHEirKys4Ofnh9mzZ6Nr1/Y/pa1J5itXruDs2bNYvXo1bt68qbKtpKQETk5Oys9ffvllVFRUoLGxsc0zSIaQ+wldzLWmuYHHS1CPGjUKtra2CA4OxpQpU2Bubm7Q8/2s3E8Y4nxnZ2dDIBBg8uTJqKmpgbe3Nz777DPY2dnpfL47i6NHj+Lnn3+Gj48PJBIJ3n//feW2DRs2wMHBAZMnT9ZfQCITY2lpCYFAoDxoZGp8/Jx5lopMUqc8Y9XQ0KDyZHMAEIlEaGhoaPNr1qxZg3379uHKlSs4f/68sj0pKQnHjh3D9u3bIRAIsGnTJr1mLi0tRUJCAmJiYlr9hfz0fp78+1lj10Z75QZ0N9eAZu+Rvn374uDBgzh27BhiY2ORnZ2No0ePtrofQ5nv5+UGDHe+Kyoq4Ofnh61bt2Lfvn2ws7PDl19+2ep+Onq+O4vvv/8ef/jDH1rdJpVKkZmZqeNERKapsrISMTExeOeddzB+/HiMGTMGCQkJz13YgogMQ6csrEQiEZqbm1XaWvvD7mndu3fH73//e2RkZCjbnJycYGFhgW7dumHSpEm4evVqR0RWO3N5eTmKi4sRHh4OqVSK6OhoFBYWQiqVoq6uDiKRCE1NTSr7eLJ/Q84N6G6uNckNPF7Uwd7eHhYWFujVqxekUqkym6HO9/NyA4Y732ZmZujfvz+sra1hbW2NsLAw5ObmKvejy/nuLEpLS5WLgzytd+/eXBWQqJ2sX78etra2+Mtf/oIDBw4gNjYWN2/eREJCgr6jEZEaOmVhJZFIUFFRgYcPHyrb7t69i549ez73axsaGtq8pKixsbHDbvRXN7Ovry+OHz+O1NRUpKamIjY2Fq6urkhNTYWNjQ1efvllFBcXK/uXlJSge/fuHXaZVHvlflpHzrUmuVvz39kMdb5b86w5NaT5lkgkKCgoUH7e1NSknE9dz3dnYWFhoTzA8bSamhpYWFiotZ+ysjIsWLAAUqkUkZGRuHbtWnvGJDJ6t27dwkcffQQ3NzfY29vD09MTCxYswMWLF/UdjYjU0CkLK7FYDE9PTyQnJ0Mmk+HSpUuorq6Gl5cX0tPTERkZqey7f/9+ZGVlQSaT4V//+heOHTuGQYMGAXh8r8f58+fx4MEDVFVVYffu3RgyZIjeMz+Lv78/MjMzkZeXh9raWqSkpCAwMLBDMrdnbl3Otaa5T5w4gZycHDx8+BB37tzB0aNHldkMeb6flduQ5zskJATffPMNioqKUFdXhwMHDiAoKAiA7ue7s+jXrx++++67VrddvHhR7YeVPln58euvv8b48eMRFxeHxsbG9oxKZNTc3NxQWVmp0mZrawvF02uUE5FB6pSLVwDA3LlzER8fj8OHD0MikWDhwoUQCoWor69XOeLt4OCAnTt3ory8HF27dsXo0aMxePBgAMBLL72Effv2Ydu2bbCyssKgQYMwadIkvWd+lp49eyIqKgqxsbGoqanB66+/jg8//LDDMrdXbl3PtSa5hUIhtm7dioqKCjg4OGDMmDHw9/cHYNjz/azchjzfwcHBuH//PhYtWgS5XI6hQ4cq51Qf890ZvP/++1i6dCnkcjmCg4NhZ2cHmUyGkydP4sCBA4iJiXnuPp6s/Lh8+XIIhUIEBwfj0KFD+Omnn9pcNIios3F3d8fu3bsxfPhwZVthYSGcnZ1VbkN4ehEtIjIMZgoeBiEioufIysrCtm3bUFZWBktLS8jlcnTv3h3Tpk1T62zmrVu3sHLlSuzZs0fZtnLlSgwYMABvv/12R0YnMhrqrK5pZmaGxMTEjg9DRBrrtGesiIhIfQMHDsTAgQNx9+5dVFdXw9bWFi4uLmp//YusxkrU2SQlJek7AhFpgYUVERGpzdnZGc7Omj9/5kVXYyUiIjIWnXLxCiIi0i1tVqwkIiIyBiysiIiowz1r5UciIiJTwMUriIhIJ0pKShAfH4+bN29CIpFgzpw58PX11XcsIiKidsHCioiIiIiISEud5lLA/fv3Y/ny5fqOQUREREREJsioCqtVq1Zh/fr1Ldpra2sxatQo/PLLL7oPRURERETUAZYsWYKxY8e2WFXV2BnTuDTJalSFVWhoKL7//nuVVaUA4NKlS3B1dUWvXr30E4yIiIiIqJ2tXLkS7u7u+o7R7oxpXJpkNarC6o033oBIJEJGRoZK+4ULFzBs2DCsWLECYWFheOeddzB16lScPXu2zX2NGDECt2/fVn7+9KWC+fn5WLBgAcaMGYNp06bhwoUL7T8gIiIyKWVlZViwYAGkUikiIyNx7dq1537NunXrMGPGDB2k05y648nNzcWIESMwcuRI5ceyZct0nPb5NPn+VFZWYt26dQgLC8OoUaOQn5+vw6SkK+Xl5ZgwYQIOHz7cLvv79ddf8cknn+C7775TaX+R3w0vIj4+XuXncOTIkUhPT9d6vx01rqysLHzyyScYPXo0Zs+erXXOjsyqDqN6QLCFhQWGDh2KtLQ0BAUFAXg8STdu3MDixYvh4+MDiUQCGxsbFBQU4NNPP4Wvr6/Gz0m5f/8+lixZgpkzZ2Lw4MHIz89HTEwM+vTpAzc3tw4YGRERmYKNGzfCy8sLX3zxBS5fvoy4uDgkJiZCKBS22j8pKQlFRUU6Tqk+Tcbj5uaG7du36yGl+tQdj0wmw8KFCzFy5EjMmDEDAoEAZmZmekpNHaWurg4rV66Era1tm32qqqpgb2+v/Ly5uRn19fUQi8Ut+iYnJ2Pv3r149OhRi21tvffq6uqwdu1alb79+vVDeHj4C48rIiIC48aNe2YfQxjXgwcPkJCQgDlz5qBfv36oq6sz2KzqMqozVgAwbNgw/POf/0RVVRWAx2erfvOb36Br166oqqrCpk2bMHnyZHz22Wd4+PAhCgsLNX6NtLQ0+Pj4ICQkBEKhED4+PvDz80NWVlY7j4aIiExFTU0N8vLyMH78eNjY2CA4OBi2trb46aefWu1/5swZ/PLLL4iIiNBxUvVoOh5Dp8l4Tp48iQEDBuDdd9+FWCxGly5dYGVlpYfU1FHkcjlWrlyJMWPGwMPDo9U+xcXFmD9/PiorK5Vtf/7zn3HixIlW+4eFheHkyZPw8fFRaX/We69r165YvXq1yoc2RZU6DGVcpaWlmD9/Pnx9fSEUCtG1a1eDzaouoyusPDw84OLigr///e8AHhdWISEhyMvLw4oVK+Dt7Y3169cjOTkZPXr0eKGb4srKypCZmQmpVKr8yM7Oxr///e/2Hg4REZmI0tJS2Nvbq5z9cHZ2RklJSYu+V65cwdmzZ7Fw4UJYWFjoMqbaNBkPABQWFmLUqFGYMGECdu3a1eoRY33SZDzZ2dm4d+8eJk+ejLFjx2Lp0qWorq7WZVzqYJs2bcKAAQOUV0C1xsXFBeHh4Vi6dClqa2uRlJQEmUyGsLAwjV5L05+l/xYfH4/CwkKsXbsW9+7dU+v1kpKSMHr0aMyaNavVkwKGMK7Y2Fg0NDRgxYoVGDduHCZMmICUlBSDzKrJ98CoLgV8IiQkBBcuXICXlxcqKyvx5ptv4m9/+xu8vLwwevRotfYhEAggl8tb3ebo6IjAwEBER0e3Y2oiIjJlDQ0NEIlEKm0ikQgNDQ0qbaWlpUhISMCqVasM+iyIuuMBgL59++LgwYMQi8UoKirCmjVr0LVrV4wdO1ZXcZ9Lk/FUVFTgrbfewqJFiwAA27dvx5dffoklS5boJCt1rMOHD8PKygrvvffec/sOGTIENTU1mDNnDnr27Illy5bB3Fyz8xKavPeeNm/ePI1eKyIiAh999BEAID09HatXr8aOHTvg6Oio0k/f4xozZgyuX7+OP/3pT3B3d0dJSQmio6PxyiuvICAgwKCyavI9MLozVsDjwurWrVvYv38/hgwZApFIBGdnZxQWFqKiogIPHz5ESkoK7t+/3+Y+XF1dkZ6ejsbGRuTm5qrc4BYUFIScnBycO3cOMpkMtbW1yMnJwY0bN3QxPCIiMkIikajFVRKt/c+8vLwcxcXFCA8Ph1QqRXR0NAoLCyGVStu8x0Af1B0PAHTp0gX29vawsLBAr169IJVKcfXqVR0lVY8m4zEzM0P//v1hbW0Na2trhIWFITc3V1dRqYMVFRXh/PnzyquS0tLSkJSUhFWrVrXa39LSEnK5HJaWlhr/QQ9o9t7TloODA0QiEUQiEUJCQtC7d+82L9/V97isra3x6quvQiAQwNXVFaGhoW0uKKHvrOoyysKqe/fu8PPzQ2ZmJkJDQwEAgYGBCAwMRFRUFKZMmYIHDx4882bEWbNmISMjAx988AEOHz6sslS7k5MTVqxYgbS0NHz44YeIiIhAcnIyBAKjPMFHREQ6IJFIlAf3nrh7926LBZR8fX1x/PhxpKamIjU1FbGxsXB1dUVqaipsbGx0HbtN6o6nNY2NjbCzs+vIeBrTZDwSiQQFBQXKz5uamtpcgISMz6effqr8+UtNTUVISAgmT56MxYsXt+ibkZGBlJQUbNmyBT179sTGjRuhUCg0ej1tfpa01dDQ0OrPor7H5eTkhIqKCshkMmVbc3Nzqz9n+s6qCaMsrIDHDws+ffq08uY0MzMzzJo1C0eOHMHBgwcxdepUHDx4EIGBgQCAiRMnIiYmRvn1Xl5e2LlzJ/76179i+fLlWLRokcp2T09PxMXFISUlBSkpKYiLi2vz5kYiIiKxWAxPT08kJydDJpPh0qVLqK6uhpeXF9LT0xEZGanviBrRZDwnTpxATk4OHj58iDt37uDo0aMYMmSIHtO3pMl4QkJC8M0336CoqAh1dXU4cODAM+/FIdN09+5d7NixAytWrIC9vT2ioqIgl8tbvRfoWZ713mtv27dvR3FxMRobG3Hq1ClUV1fD09NTpY8hjMvBwQFeXl7Yvn07ZDIZbt++jQsXLmDw4MEGl1UTZgpNSz4iIiJqVUlJCeLj43Hz5k1IJBLMmTMHvr6+OH/+PDZs2IDTp0+3+Jrc3Fxs3brVIJcqV3c8586dQ0pKCioqKuDg4IDRo0dDKpXqOX1Lmnx/Dh8+jGPHjkEul2Po0KGYNm0az1qZqPj4eLi5ubVYolyhUKCyslLl/iS5XI7a2tpWV7A7cuQIkpOTUVdXB6FQCEtLS+zbtw9CobDN9157i42NxfXr1yGTyeDh4YFZs2ahd+/eBjmuqqoqbN68GVevXoWDgwMiIiIwaNAgg8yqLhZWREREREREWjLaSwGJiIiIiIgMBQsrIiIiIiIiLbGwIiIiIiIi0hILKyIiIiIiIi2xsCIiIiIiItISCysiIiIiIiItsbAiIiIiIiLSEgsrIiIiIiIiLQn0HYCIiIiITNP169fx9ddf48aNG2huboZEIkFgYCBGjx4NsVis1b7Dw8MRFRWFwMDAdkpLpB2esSIiIiKidpeVlYWYmBj4+/tj165dOHToEGbPno2ff/4Zd+7c0Xc8onZnplAoFPoOQURERESmJSIiAqNGjcKYMWNabJPL5bC0tER+fj527dqF27dvw8HBARMmTEBwcDAA4I9//CMkEgl+/fVX5OXloUePHpg3bx48PDywfv16fPvttzA3f3yOYPDgwVi0aFGL12lsbMSBAwdw8eJF1NTUwN3dHTNmzIC7u3vHDp46JV4KSERERETtqri4GKWlpQgJCWl1u6WlJe7fv48lS5Zg5syZGDx4MPLz8xETE4M+ffrAzc0NAHDnzh3MmjULffr0wY4dO7Bz506sWbMG8+fPx7Vr1557KeDu3btx69YtrFmzBmKxGBkZGaiqquqIIRPxUkAiIiIial/V1dUQCoWwt7dvs09aWhp8fHwQEhICoVAIHx8f+Pn5ISsrS9knJCQEnp6eEIlECAgIQEFBgdoZFAoFzpw5g2nTpkEikcDGxgahoaF4/fXXtRkaUZt4xoqIiIiI2pWtrS3kcjnq6upgY2PTap+ysjJkZmZCKpUq2xQKBZydnVvtb2VlhaamJrUzVFdXo6GhAU5OTpqFJ3pBLKyIiIiIqF25uLigW7duOH36NMaNG9di+6NHj+Do6IjAwEBER0e/0GuYm5vjWUsF2NraQigUoqysDA4ODi/0GkSa4KWARERERNSuzMzMMH36dOzfvx9Hjx5FVVUVmpub8fPPPyM+Ph4//vgjgoKCkJOTg3PnzkEmk6G2thY5OTm4ceOGWq/h5OSEnJwc1NfX4/79+y22m5ubIzQ0FAkJCSgrK0NjYyP+8Y9/4Icffmjv4RIB4BkrIiIiIuoAQ4YMgY2NDQ4dOoR9+/ahqakJPXv2REBAAHr37g2xWIwVK1Zgz5492LlzJwDA3d0d06ZNU2v/kyZNwsaNGxEWFoa33noLs2fPbtFn+vTp2Lt3L+bPn4+6ujq4u7tj5syZ7TpOoie43DoREREREZGWeCkgERERERGRllhYERERERERaYmFFRERERERkZZYWBEREREREWmJhRUREREREZGWWFgRERERERFpiYUVERERERGRllhYERERERERaen/APLnUIL/xOg0AAAAAElFTkSuQmCC\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Harmonic centrality\n", "...\n", "\n", "plot_network_distribution(G, cent)" ] }, { "cell_type": "code", "execution_count": 22, "id": "f7646a57", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Eigenvector centrality\n", "...\n", "\n", "plot_network_distribution(G, cent)" ] }, { "cell_type": "code", "execution_count": 23, "id": "9cb8368b", "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Pagerank centrality\n", "...\n", "\n", "plot_network_distribution(G, cent)" ] }, { "cell_type": "code", "execution_count": null, "id": "a8f1e2b7", "metadata": {}, "outputs": [], "source": [ "..." ] }, { "cell_type": "markdown", "id": "451bea61", "metadata": {}, "source": [ "# Exercise 5\n", "Using the Twitter dataset\n", "- If you would have to spread some super important news (it always gets shared) as quickly as possible, which nodes would you choose?\n", "- If you would want to make the network disconnected, which nodes would you remove?\n", "- If you would want to understand which node is most respected (measured by mentions) in the network, which nodes would you choose?\n", "- If you would have to spread some fake news (it sometimes gets shared), which nodes would you choose?\n", "\n", "Calculate the top 10 nodes for each measure" ] }, { "cell_type": "code", "execution_count": null, "id": "27cbf42b", "metadata": {}, "outputs": [], "source": [ "def extract_top_10(d_centrality):\n", " \"\"\"\n", " Extracts top 10 nodes from the dictionary with centrality measures\n", " \"\"\"\n", " return pd.DataFrame.from_dict(d_centrality, orient=\"index\").sort_values(by=0, ascending=False).head(10)" ] }, { "cell_type": "code", "execution_count": 5, "id": "dcbf609e", "metadata": {}, "outputs": [], "source": [ "# Read edgelist\n", "df = pd.read_csv(\"../Data/ic2s2_netsci_3.tsv\", sep=\"\\t\")\n", "\n", "# Convert to networkx\n", "...\n", "# Remove self-loops\n", "...\n" ] }, { "cell_type": "code", "execution_count": 26, "id": "fae87c85", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/garci061/miniforge3/envs/networks/lib/python3.10/site-packages/networkx/algorithms/link_analysis/hits_alg.py:78: FutureWarning: adjacency_matrix will return a scipy.sparse array instead of a matrix in Networkx 3.0.\n", " A = nx.adjacency_matrix(G, nodelist=list(G), dtype=float)\n" ] }, { "data": { "text/html": [ "
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closenessbetweenessauthoritieseigenvalue
manlius840.5542470.0302090.0058510.137013
svscarpino0.5445300.0218860.0054040.126543
tiagopeixoto0.5437680.0197630.0052690.123383
alexvespi0.5416810.0220930.0049630.116209
HirokiSayama0.540362NaN0.0053880.126154
barabasi0.5362570.022566NaNNaN
tinaeliassi0.532214NaNNaNNaN
fede7j0.531485NaN0.0050460.118155
lordgrilo0.5313030.0181960.0050730.118777
cosnet_bifi0.530396NaN0.0049770.116525
foucaultwellesNaN0.024194NaNNaN
ShugarsNaN0.022212NaNNaN
ryanjgallagNaN0.020435NaNNaN
dashunwangNaN0.018612NaNNaN
aliceschwarzeNaNNaN0.0045030.105429
PiratePeelNaNNaN0.0044390.103933
\n", "
" ], "text/plain": [ " closeness betweeness authorities eigenvalue\n", "manlius84 0.554247 0.030209 0.005851 0.137013\n", "svscarpino 0.544530 0.021886 0.005404 0.126543\n", "tiagopeixoto 0.543768 0.019763 0.005269 0.123383\n", "alexvespi 0.541681 0.022093 0.004963 0.116209\n", "HirokiSayama 0.540362 NaN 0.005388 0.126154\n", "barabasi 0.536257 0.022566 NaN NaN\n", "tinaeliassi 0.532214 NaN NaN NaN\n", "fede7j 0.531485 NaN 0.005046 0.118155\n", "lordgrilo 0.531303 0.018196 0.005073 0.118777\n", "cosnet_bifi 0.530396 NaN 0.004977 0.116525\n", "foucaultwelles NaN 0.024194 NaN NaN\n", "Shugars NaN 0.022212 NaN NaN\n", "ryanjgallag NaN 0.020435 NaN NaN\n", "dashunwang NaN 0.018612 NaN NaN\n", "aliceschwarze NaN NaN 0.004503 0.105429\n", "PiratePeel NaN NaN 0.004439 0.103933" ] }, "execution_count": 26, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Use the function extract_top_10\n", "...\n", "\n", "\n", "df = pd.concat([cc,bc,ac,ec], axis=1)\n", "df.columns = [\"closeness\",\"betweeness\",\"authorities\",\"eigenvalue\"]\n", "df\n", "\n", "# Who are the most important nodes?" ] }, { "cell_type": "code", "execution_count": 15, "id": "a7d04148", "metadata": {}, "outputs": [ { "data": { "image/png": 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pVJrK8jqdjnW7XatUKhM/v9PpWLVanej5jUbDSqXSugrrZrNp3W7Xcrmc1Wq1iZYNAAAWi4prAAAAANgmptnf2mzjPa43Um2dtX7fM3tZKssBAMD4CK4BAAAAYBtYtv7WvV5vw0F62v60220zO93nmhuMAQDYvAiuAQAAAGAbWLb+1qq2nnR70kLpJElCixAmZAQAYHPjJzkAAAAAbAPdbnfqYe6kFdwKmDfaJsTM+tbfbrctl8ttaLkAAGA5EFwDAAAAwDYw7f7WGzGNqug4NE+SxDqdjiVJsjT7CQAAJkdwDQAAAABb3LL1t97opIxm64Prdrtt+Xw+/AEAAJsbP80BAAAAYItbpv7W05iUUbQ/qrY2M9qEAACwRRBcAwAAAMAWN4v+1maT9bje6KSMaetut9tWKBSWqh0KAADYGIJrAAAAANjiliXQVWX0NKqiFVxrmblcbmmqygEAwMYRXAMAAADAFrZM/a1V+T2N6m/tU7vdtmKxuDThPAAAmA6CawAAAADYwmbZ3zpJkrEeP61qa7/uTqeT2iZE1dgAAGBzIrgGAAAAgC1sVv2tZdRAfJqTMpqdDq673W5ftfUyVJUDAIDpILgGAAAAgC1sWVpoTGtSRrPTobUPrvU3AADYOgiuAQAAAGCLWpb+1tOclNFTIN/r9WZaVQ4AAOaPn+wAAAAAsEXNuoXGqKH4NCdlNDu9X2ZmpVJpqpXcAABgeRBcAwAAAMAWNev+1qOadrV1u902s9P9tbvd7lK0QgEAANO1+E8wAAAAAICZWIb+1mpXMs1JGdUaRJXXyxDOAwCA6eKnOwAAAABsQcvS37rT6Uy1XUm73bZcLmf5fD5MyrjofQQAANNHcA0AAAAAW9Cs+1ubDe9xPe1JGbU8VVgrFB/2HAAAsPkQXAMAAADAFrQM/a2nPSljHFQPWjZV2AAAbG4E1wAAAACwBS1Df+tOp2OlUmkqy0qSxNrttpVKpdDnetH7BwAAZofgGgAAAAC2mHn0tx7WgkPbMO1q63w+H4LrabUgAQAAy4fgGgAAAAC2mHn0t5asdai39TS2wVdb6/+5XI52IAAAbGEE1wAAAACwxSy6v7UmUZxWK4+42trMqLYGAGCLI7gGAAAAgC1m0f2fu91uCJo3Kq627vV6ZkZwDQDAVkdwDQAAAABbyDz6W5vZwHW02+2pBcu+2lr/N8tuUQIAALYGgmsAAAAA2ELm2d86TbfbNTObSbW12en9I7QGAGDrI7gGAAAAgC1k0f2tpzkpY1xtrWryUfcvl8uFntgAAGBzIbgGAAAAgC1kkf2tkySxbrc7lTYhadXW3W7XcrncQoN5AAAwH/y0BwAAAIAtYl79rc3Se1yrQnoW1db6Wi6Xo1UIAADbAME1AAAAAGwRi+xvnSRJaBMyjWWl9bYWgmsAALY+gmsAAAAA2CIW2d9awfI01p9VbV0oFOZWUQ4AABaL4BoAAAAAtoh59reOA+RpTcqoym1fbe17ZzPZIgAA28PG7+ECAAAAtolTp07ZD37wA6tWq3bTTTdNpSUCMC3z7G8dU7BcLpc3vKxOp2P5fL6v2lrV3No3Kq4BANj6+KQNAAAAjCBJEvvyl79sR48etUKhYM8995zdeuuti94sIFhkf+tpTcqoautKpdL3dVVbC8E1AABbH61CAAAAgBG0221rNptmdjpEe+GFFxa8RUC/RfW3nuakjJ1Ox3K5XN9+aPmT9LfO5XK0FgEAYJMiuAYAAABGUCqV7KyzzrJisWjlctmuvPLKRW8S0Gee/a3N1npcT2tSxrTe1mZrgXw+n2diRgAAtpFcwvAzAAAAMJJ2u20PPfSQlctlu/rqq+caEgKD9Ho9azQaVqvV5hbsttttS5LEkiSxfD6/LnCeZHndbteq1Wrf15vNZlh+p9Oxbre7rpVIlkajYaVSidcqAACbED2uAQAAgBHlcjk7cOCA5fN563a7hGFYGovsbz2NSRlVbR0vJ570kYprAAC2D1qFAAAAACPq9XqWy+WsUChYt9uldy6WxiL6WydJMrXAXL2t48EgDRBp+QTXAABsHwTXAAAAwIgUXCs4U29fYNHm3d/ar3ejkzJm9bY2szApo38swTUAANsDwTUAAAAwAlWXmp1uGVIsFq3T6Sx4q4DT4fEiAl3dcbDRSu9ut5tabe0ruv3XCK4BANgeCK4BAACAEcSBGe1CsCwW1d+61+tZPp/f0HqTJLF2uz2w2tovn+AaAIDtg+AaAAAAGEHcQzifz4dJGoFFWlR/6yRJNtyeJKvaWt/zbUi0znGDawaXAADYnAiuAQAAgBGk9RAuFosE11i4RfS31mSKs6q27vV6oaI7Ns46qc4GAGDzIrgGAAAARpAWog1rF9JoNOzpp5+2kydPzmMTsQ0tor+1JlPc6DpHqbamTQgAANvXxqZ/BgAAALYB36LAh2cK3Tqdzrqq0VOnTtmf/dmfWavVsnw+b7fddpvt27dvEZuPLWwR/a39JKWTUrV1uVxO/V6n01n3PYJrAAC2FyquAQAAgCHUQzgtNMtqF/LEE0/YyZMnrdFo2Orqqj344IPz2FRsM4vob62Bmo0EyYOqrRWMx/tFcA0AwPZCcA0AAAAMMaiHcD6fD/14vT179oSK0XK5bHv37mWSOEzdvPtb93o963a7G1rnoN7WZhaWH4fUBNcAAGwvBNcAAADAEFmTxJmdbpeQVnW9f/9+u+WWW+ySSy6xt771rfaGN7zBGo2GdTqdeWwytoFF9LdO6z09yTJyuVzqa0ptQorF9V0tCa4BANhe6HENAAAADJAkycDg2uz0JI2tVmtdoPf617/errrqKut0OlYoFCyfz1ur1bJut2vlcpkQDhsy7/7WCpUrlUr4/7jr9r2t056r11pWqD3vtigAAGBx+KkPAAAADNDr9SyXy4WQLS2sU5iW1gpELRXa7bbl83mrVquWy+WovsaGzbu/tV4LG1nnoGprMwuDPGmouAYAYHshuAYAAAAGGKWHsCaZSwuifdCm0K5cLlu5XLZ2u23NZpPe15jIvPtbt9vt1BYeo/K9rdMC6CRJQiuSrOePG1zncjleXwAAbFIE1wAAAMAAw9qESLFYtE6nsy4k80Fbu90O3y8UClRfY2Lz7m+tCUg3EpQPq7ZWBXnWPlFxDQDA9kJwDQAAAAwwanCtvry9Xq/v6wrqVPnpv0/1NSY17/7WmjDRr2+cIHlYtbWZDa22BgAA2wvBNQAAAJBh3KrWQe1CFDK22+3U51F9jXHMs7/1sBYeoxhWba11DOtvTcU1AADbB8E1AAAAlkqSJPbKK69Yo9FY9Kasq2pV1WdWeFYsFq3b7a6rDs3n85YkSai47na7655L9TXGMc/+1sNC52FGrbYeVEFOmxAAALafyYfMAQAAgClLksS+8pWv2AsvvGBmZp/85CftsssuW9j2jNomRBTuxdWp+lqhULAkSazT6WSGjqq+brfb1mg0rFQqbajSFVvPvPtbq02IN86gyijBd9o64vURXAMAsL1QcQ0AAIClceTIEXvhhRdsdXXVVldX7Z577lno9owbXJutTdLo5XI56/V6ViwWQ0uEuBd2/Hiqr5Flnv2th03KOGwbVG0d98ceZx1aDsE1AADbC8E1AAAAlkatVutrx3HGGWcsbFvU1mPc4LpQKISKWFHgpgkas3phpy1Lva/r9Tq9r2Fm8+1vnTYp4zjUFmdQKD2sTYgZwTUAANsRwTUAAACWxq5du+wjH/mI7d27117zmtfYhz70oYVti0LrccMyTcToQ2a1SUiSJISAnU5npCpqVV9XKhWqr2Fm8+tvrbY2k7aqGaW3tdnwNiFa1qR4vQAAsDnRLA8AAABL5cCBA3bgwAFbXV2d2+RzadKqrUet+iwWiyGwE7ULKRQK1mq1wmPK5fJI2+N7X9frdSuXy/S+3obm2d9ald1p1d2jbMMo1dZqmTOsgnzSfdZdDgAAYPOh4hoAAABLqVgsWrfbXVjoNEmbEMnn86Fvr/9akiRhmfl8fuSqa6H6GvPsbz2vautR9odWIQAAbD8E1wAAAFhKqlZut9tzX7cmUJw0uM7lcusmaVSYrVYiCiAn6VtN7+vta179rUeZMHGQUaqt9TobNRwnuAYAYHshuAYAAMBSUl/ocauSp8FPEDmpQqHQVzGuViH+ewq3J9k/qq+3p3n1t97IpIzqjT2s2lqvh1Gqram4BgBg+yG4BgAAwNJS1bWqN+dlGu0YVBUbh3O+XUgul7NcLreh/UurvibA3prm1d96lEkZB22HtnNYwK7Bm1H3h+AaAIDtheAaAAAAS0sBb7vdnmsYm9XfepzQUO1CFEqrgty3C1FV6kb3L66+brVahNdb0Lz6Ww+alHGYUXtbKxwfpXqcamsAALYngmsAAAAsLQW8SZL0TXQ4axuZmNFTOJ3WLkShtgK5aewf1ddb27z6W29kUsZRq631GhtlfwiuAQDYngiuAQAAsNTmPUmjQvJpBIQK5hRK5/P5df2zkyQJVdfTQPX11jWP/tajBs9p19So1dZmNnK1tZa7keCa6x8AgM2J4BoAAABLzfeKnkfVtULraVV4qurazPpCbFWTd7vdUFU+zV7eVF9vLfPqb61AeZT1xI8ZJ/RWf+tRbGS/qdQGAGDzIrgGAADA0lMF5zyqrqdVbS1qCaJJGX347ntgF4vFEHBPC9XXW8c8+luPMinjoOeOWm2tliej7gutQgAA2J4IrgEAALD0isViqNKcddX1oOB6kgBNkzL6amqFx76aXCH2LPaP6uvNbx79rTcyKeOo1dZm4/fQJrgGAGB7IrgGAADA0lP4m8/np16V7Ckcn3ZAqGpq7Uda1XUul7NisTizqnKqrze3efS3HidQ9mHyONXW6iE/zr4QXAMAsD0RXAMAAGBTUNX1LKuFFZBNO7guFAqhIjUOrtUDW5M0qq3IrFB9vfnMo7/1OBXTG3nuOD20heAaAIDtieAaAAAAm4ImMJxl1fW0+1uLJmJU1bUPilVJ3uv1Zl517benXC5btVoN1dfzmPgSk5lHf2tVW0+yjlGrrc1srEkZzU6H1gTXAABsTwTXAAAA2BQU6uZyuZlVCc8quDZbaxcSV1ybrVVd+8fNowo6n8+H6utGo0H19ZKadX9r3ckwSbW17hAY5bm9Xm/i1xjBNQAA2w/BNQAAADYNtdzI5XJ9kx1Oy7CAcCOVn365aq0ghUIhBID5fL4vyJ61uPq62WxSfb1kZt3futvtWqFQGCtQ1mthkmpr2oQAAIBREFwDAABg01CwpnYh06wOVkuCWVW2ql1IWuDu24WYmZVKpblXP6v6Op/PU329RObR33qcSRm9cXpbT1rVvdF9j1vzAACAzYPgGgAAAJuG2oUoZJ5mZbBaGMwyICwWi9btdi2Xyw1sF6LtmEVV+SBUXy+fWfe39pOGTvLcUautFR6Pux4qrgEA2L4IrgEAALCpqGp52pMYzrK/tSiAy+pzrXYhZqerrtvt9kKqRVV9XSgUqL5esFn3t2632xNNyjhOtbWZhWrrcddDcA0AwPZFcA0AAIBNRW01zNYme5uGWQeEZusrxj3tl6qstS3zrrqWXC5npVKJ6usFm2V/6yRJwiDQuMapBN/IegiuAQDYvgiuAQAAsOkUi8XQpmAaVddqOzIsIJxG1bEmmEwLpH0PbAXH85qkMQvV14sz6/7Wk1ZBx4Mrw2jAY5KBIYJrAAC2L4JrAAAAbDoKeOP2GpNSODZKQLbREE2V1WlV1+qBra8XCoVQrbpIVF8vxiz7W2uyxEmqoNvt9sivF7PJJ380I7gGAGA7m+zTAwAAALBAuVxuXa/rcrkcvn///ffbj370IzvjjDPs05/+tO3YsWPg8ubR39orFovWarXWhXK5XC60C1Hf4WKxGCpjF03V151OxxqNhpXL5ZlOHLjdzbJ9zaRV0BpYGTW41sBLqVSaaDsJrgEA2L6ouAYAAMCmpEBXf6tK+ciRI/bAAw/YiRMn7LnnnrNvfetbQ5c1j/7WnkLotKplVV3H/1+WCmeqr+dnlv2t9doZNxTWZI6j0mtr0tcXwTUAANsXwTUAAAA2JR+EFQqF0Au61Wr1Pa7ZbA5d1iwDwjSqVh3U51pBvILiafTynqat2Pv6pZdesq997Wv2jW98w1ZXVxe6LbPsbz3pZIm6LscNrjfSJmSjcrncpr8uAQDYrmgVAgAAgE1J7UJUOdpqtaxYLNoFF1xgl156qT399NNWLBbtve9978DlqNf0qG0PplWZrZYgsbhdiNnpqut6vT73libDKFQvFArWbDat0+lYuVxeqm0cVZIk9hd/8Rd24sQJy+VyduzYMbv99tsXtj2z7G896aSMqrYe9XkKyH0bn3GM05IEAABsPQTXAAAA2LSKxaI1m00rlUqhgrlYLNqnPvUpO3HihOXz+VBxmRV+KQyedzimyuq0MNq3QTGzvl7Xk4aAs7QVel+3Wq1QtZ8kiR07dmyh2zOr9jWalHHc6yiuth5lsEcTqE56HdAmBACA7W3zlUIAAAAA/z8Fzr1eb12v63K5HEIvBZJp5t3fWtSaJG3bCoVCaBUh8f4tG9/7utPpbJre10mSWKvVsm63a/v377dqtWrVatVuuOGGhW7XrNrXTDop4yQ9sTc6qeiyXusAAGA+qLgGAADApqZ2IeVy2drtdgj8fCuOQS0OFHrPm7Ylq12IKrK1bfl8PuxrqVSa67aOI5/PW6VSCdXXpVJpokkAZy1JEmu32yGQrVar9pnPfMaefPJJK5VKdskllyxs22bZ33qSALrX61mv1xurSlvP2WhwvWzXDQAAmB8qrgEAALCpFYvFEP6qKll86BVP2mh2Ohib98SMntqYpFUm+wknpVQqLXXVtfjq6263u1TV16qwrtfrZmZWrVZDX+5cLmcXXHCBnXPOOQs9xrPqbz3ppIxpAz/DQuWNtgkZZR0AAGBrI7gGAADAphZXJ6tvtAIvtUTQ171xJ3+bdpipyvBR24UoXE2r0l5Gqr4uFArWaDSs3W4vLBAeFFinWeQxnlX7mkkmZez1ehOF3b5H+0YQXAMAsH0RXAMAAGDTU3WyJjFst9upgVez2ewLTicJCKcZpPl2IXGgq0A+rep6kQHwuBZdfT1uYG1moW/6osziLgBNyjhJtbUmPx3VpH20Y1up4vrFF1+0Q4cObZrXLQAAy4Ae1wAAANj0CoWCtVot6/V6ViqVrF6vh+BPIaBacvjq0V6vt5CJGcX34U4LK9N6Wvuq60X05p7UvHtf+x7WhULBqtXq0HOtUHGRwfWs+ltPEibr9TJOb2uzySq702yV4Pree++1H//4x2ZmdsUVV9gnPvGJBW8RAACbw+b5pAsAAABkUKV1t9sNgagC4VwuZ/l83trttpmd7nWtUE1B96Lk8/kwOaTCPs8H8gocta/TCgfnSdXX2i+FotMcPJgksI4VCoVQ1T7v4zur/taTTMqYVW3tA/6Y+mhXKpWNbbBNJ7hWH/l5SJIk9c9Pf/rTUPH/+OOPL3zADACAzYLgGgAAAFuCwtBisWjFYtEajUb4ull/6w0Fcouu6FR/7UKhENqY+O3x/bt90KVgdZETS27ELKqv1Qqj3W5PHFiLzssiro9Z9LdWmDxO5fSk1daq7J5GtfWiX5/xtgz7Y7Z27fg/O3futFOnTpmZjd12BQCA7YzgGgAAAFuCwj6FuapmzufzliRJqMLO5XKhH7baboxqFpWbfhLJtPYf6tntK8N9L+/NGFybTa/6epqBdTwR5iIqY2dxF8Ak1fmT9LY2s3ANTyucnWXIq/OdFkKrZcugQFrvH36C17Tt/YM/+AO7++67rdvt2nve8x5rtVpWLpcJsAEAGILgGgAAAFtC3EKjVCpZs9kM/aArlYq1220rl8vWarUmDn2nHTb5diFpwbW+H4eoCq43e9uBSauvpxlY+2WarbWXmXef61n0t9Zxmke1tdZVrVbH3czUZU16HHwgrXOo1i+jVknrGoyD6XH1ej2r1Wr2iU98wgqFghWLRWu1WtZsNq1SqRBeAwAwAME1AAAAtgzfm9hXYCu8KhQK1uv1FtYGIo0qrRWoj9ouRBXL7XZ7Kv2EF2mc6utZBNZ+2doe3xd9XmbR33qSSRmHVVtnvXY0iDKN85G2jkEV0oMCab+8uEp61u8BuoZ8j/pyuWztdpvwGgCAIQiuAQAAsGUoNPPtCtQeRFXNqrpuNpvW6XQW3nPWh+gKqEdpF6Kv1+v1TV91LYOqr2cZWEtaq5B5DnDMor/1uJMyTlptrXVN2romDp673a4lSRJ6v4/btsMH1vV6faL92Sjth/rpix90ajQaVqlUtsTrFwCAaSO4BgAAwJaidiEK6xTqKriOAzAF2YviA1JNHjlquxDfHmWR+zBNadXX+Xw+hKKzCKwlDhfnXZk/bn/rl19+2U6dOmX79+9PPSaThNCT9rbOmgBy0okN/WDOPCukp6nZbJrZ2sCTl1Z5TXgNAEA/gmsAAABsKQo81RJE7UH8/zudTgiDFRQvKjTyQZ3f9rSAOq0it1gshurkzRTqDaMq2k6nEwYd5r2Pqt6fx7UxbnX3z372M7v77rstSRI755xz7Itf/OK65447UeKoQbeCZj+BYbfbNTML7W42OrFhq9UK1/1mpPccf8dA2nWka7rRaMx0UAYAgM1oc34KAAAAADL4lhtma+Gjev3GQW+SJNZqtUbqNTur6lsfbGUF1Aq144rcfD4fwvhxqnWXVVpLEDMLE9pl9b6e1rrN1gLUeU7QOG5/6x/84AdWr9fN7HTl9dGjR+3ss88O39dxHKf/ebvdDkGxD6XjPzomjUYjBM/a/rhC2myyCU2zgt5xl/HP//zP9vDDD9tVV11l73nPe+Y28NFqtczMRnpN6pirbcik7VYAANhqCK4BAACw5RSLRWu1WiH4UpAdh2GlUimEb2m9pedFAamCv1arta5S1k82GQd62o9xqmuXjYJWVcPH1adZva+nvQ2eBgTmYdzK7nPPPddeeeWVECLv2LGj7/u6w0DLHDaxoYJqs9O9qgdVSSdJYu1222q1Wlim+khP65xMY5DoscceswceeMBarZYdP37czjnnHHvDG94wle0bJK62HoUeq8GZzVppDgDANPHTEAAAAFuOwjqFbOVy2er1unW73VDNqArlYrFovV4vVPguIvhVVbjf9ji4821O4lYOmpRyM1Zdx4F1Vq/ftN7Xs6y+1joV7M76uhi3v/Xv/d7vWbFYtFdffdXe+973WqlUCoMzOqZqQTFK2w61qhmlHYsmPBX1H5/mMZrGMT927FjoLd1qtezo0aPT2LShxqm29gqFglUqlb7e2AAAbGf8JAQAAMCW43tb+166qp71kx2WSiWr1+uWz+cXNlGjAlK/7WkBtULbtFCvVCqlVmovq1ED65geO4vq67jiWqGuquFnJau/9aDq6Hw+bx/4wAfCY5vNZl97jiRJQu/2YRMb6rUwSrscLds/rtvtTn3AZBrB9ZVXXmkPPPBAaIHypje9aUpbl01tieIgf9T9UXucZrNpSZJsuoEoAACmieAaAAAAU5UkiT344IN29OhR+53f+R0788wzF7Id6mWtsEhhsEIlVTmXSqVQrTpoosY41JwmhaMKt4rFYgiu0tqFpIVgCigX2fJkFJMG1t48q69nEVzHQbQqmEeZ2NDMQhsKPbdWq62b2FCTWY5Cwe4kQbFC72ke+2m81tTf+/bbb7cTJ07Yrl271rVTmTa1UDEbv9ra0+vCh9ebYTAKAIBpW95PtAAAANiU7r77bvvxj39s7XbbHn74YfuTP/mThVQxK8j1kzJ2Op0QcpqtBXzFYjGEd8MmapzV5Iyquva9hOPAdFA1tgLvWbRtmAYfWOdyOSuXyxsOg6ddfR1Pzqh1qI3LKM8f5Y/W4Sc21LkdNrFhu922fD5vpVIphKRxZW+32x15UsZerxfC70looGQWbUImXWa32+1r13HBBReEdkB6bc2CD/E3GuSrz3uj0TAzI7wGAGxLBNcAAACYqqeeeioEat1u144dO2bnnnvuQrbFT67nWyjE1avq7avHLqJqWQGmn1BSIbSXVY2t57Tb7Zm3thiHgtR2uz21wNqbdfV1Pp9fVwk9aiitkDStXYc/d5rYcNg2K3ytVquZbShUvT3q/k9Sbe0nekwbRNmojbQJ6Xa7oUe0mfUd/1m+NpIkCWH5tI5HLpcLbUNardZUJ78EAGAzILgGAADAVF133XX2L//yL9Zut61UKtmOHTvmMrldGoW/PqxWj2BVWisc1r9VfT3vqmVNkCfFYtHq9XrqJI1mlhrAKcTV9i/SrAPrWFx9feLECfve975n1WrV3v/+99vKykrqNupvf+zTWnbU6/XMiQ3T2nmMKqu/ddq2tlotK5VKA0NpXcOjrnvSamvfl33aLVqSJLHf/OY39pOf/MQuvPBCe9vb3jZy722F1to+HQv/2phF1bWfXDWr1dAk68zlcqFtSLPZHLkPOQAAWwHBNQAAAKbq5ptvtr1799qxY8fsiiuusFwut7DARQFSp9Ppu9Ve4V4cDtfrdTt69Kidf/75c5+oMW5JoVA0rv5WS4lut5saBPuq61n0fB5m3oG1p3Ayn8/b//gf/8NOnDhhuVzOXn75ZbvtttuGVkj75fhAutlshjYk05Y2kV8a3Q3gt8EH76rYH6eieCO9rbVNsxjgeeWVV+yOO+6wer1uTz31lJmZvf3tbx/4nCRJrF6vh//7ASjRa2Pad1Sot3WSJDN5z1B43Wq1CK8BANsKwTUAAACm7rLLLgtBm9npcK7RaEw0Ed80KLgWhauFQiFUZT/99NN2xx13WJIkduaZZ9qtt96aOVHjLPh+3OKrwOOvZ7ULUa/rdrs9cp/jaVhkYB3r9Xrh+kuSxI4ePdrXezitQtoHn/HEeoVCYd25mZZutztxi5CYrpVRQs2N9rY2s7F6aY/j5ZdfDoM47XbbnnvuuYGPT5Ik9II2O92qQ5XV/tjGdyRMK/zVtZbP52d2zes11W63rdFoDL0WAADYCub/WwMAAAC2PFWC+uBX4ZIPtGfNh5KqRlX7AF/B2u127V/+5V+sXq9bo9GwY8eO2SuvvBJaRmgZswyK1CrEt6xQYOq/pseaWWaYqn2aVdjqqc+xzm25XLZqtbqw0FrH8MILL7RqtWrVatWuu+66UIlcLBatUCisaxcRH2NvlsH1sArpYS1C1BJD52HUSuJxQu60bZpVmxAzswsvvNBqtVq4lm644YaB26JBHAXHcZsQT98fdcLNYXy1dTzgMW0K3ovFojUajbm8vgEAWCQqrgEAADAzClgKhUIIj1utlvV6vb7WHbOktg+aMNJsfTuNJEnsnHPOsUOHDlmv17NcLme7d+8OVcTzmKjR9+D2E/ipIjwOxRROp4WeqrqexcR5skwV1tLr9azZbFo+n7fPfOYz9sQTT1ipVLKLLrrIWq2WNRqNEPyNc+3l8/mRe1GPu73DltntdjNDWB+2q3J7lCBZFekbqbZWn/hZKJfL9oUvfMF++9vf2llnnWVnnXVW6nFSqK/Xca/Xs2q1Ggalsl4bpVLJWq3WVKquO51OOOaDjv20rh1tv5mFtiGLuIsFAIB5ILgGAADA1PlqTF8BWSqVrNPpWKfTsV6vN7derYVCwVqtVl+lsg92C4WC/Yf/8B+s1+vZyy+/bG9/+9utWq3OfaJDtQvxQZTafqS1r1AQm3YMNWgw7QGCZQystU2tVitsTy6Xs/3795vZ6euwWq2GqvBOp7Mu8BtUcZ02qDANw/pbK5gd9DrRds2r2lrblSTJzM57kiRWqVTsta99bfhaWm/nTqcTAvter2flcjn0hR80AaO+t9FBKVVbK0yeZ+sOrU8tmBb9GgQAYBYIrgEAADBTxWIxBIoKn1TtPI++176Psf6tiu96vR4qcDudjr3//e8P26xqWFVrz6PqWtXf8dfU5sQfJ4VvWa0mNGiQVq09ibTAelA4OC++6rZaraZeSxqoqNVqoRdyXH09KLg2WzsP07xWh/W3brVaobVJGgXpupthlPByGtXWWu+sXrc6F6VSKYTyZtY3YWq73Q7XorbDt9YZdKfBtKqu1Ud7liH+ILp29b5KeA0A2Gq4pwgAAAAz5cOtcrkcQuxisTiXvte+UlZBtNqBKNiNdbtdK5fLoTJVFeKzpm2Lt19tQWJZXxdVjA8LZQdJ62GtkGzRoXW327VGo2G5XC4ztDZb6wUeP67b7Vqz2ew75oOqdKd9DQwKm9WjfNigg68cHuV8bLTa2szC62gW/DHW5Kmqpu52u9btdq3T6YTWP7qLo1wuWy6XG9gmxNtor2sNAOhOkkW9FgqFglUqFWs2m3OdPwAAgHkguAYAAMDUxRMaKkBV9agqSRXKtdvtMMHarLZHVam+X7G2y7cR0ePVL1jhYafTmXk4pQrqmAL2+PhkfV181fW4ljmwVpV1s9m0crkcQssscTBdLpetVCqF62GUwZNpB9eD+ltr/4btlx47ar9pha0bqcDXa2lWwbUC6bjPuwaTms2mtVotM7MwuOQnrszq+55mIwM7nU4nrGfY+mb1viaFQsGq1aq1223CawDAlkJwDQAAgJlT1aSvIO12u1YqlaxcLocwLK5+nQaFwWopoH8rfEvrK21mfcG2JpecdQCltgNp7ULMbN2x8eF6FlWMj7rtyxxYm61NwNjr9axWq43cHsPvvwZTKpVKCD79YEsaP+Axrf3IOqZqQTFqIDpq245pVFurQnkW14La0ZhZXxCvOwv8OnXHhn+szs+obX10/McNe3219TjHc5avn3w+H9ow+YloAQDYzAiuAQAAMHVxuKd2F6paLpfL1m63Q4uDSqUSAuVGozHx7ftpFFIXCoWwDT7szQqTFGbrOQrKZhle+0kA469ntQUZVlE9akuEZQ+szSxsn9ojjLNdaedNlapxsJ9Whev7o09DVn9rtcMY1KPZG3XCSJ3fjfY7n+WdB/4a9aG9Xq9qC6PzoJ7X2h4FtuP0elbV9jiva909Mmql+7wovO50OtZqtWY+0AYAwKwRXAMAAGCqssIStdtQpXOlUgnhioJIBdmtVmvDvZnjbVIFqwLyXq8X+ggr2PWBl6/89GHdrG/Fn6RdSLfbHXisisVi5vH0gXW73Q6VyMsUWKsav91uW7VaHbun8KCq9Hw+b9Vqte9rab2vhy1nXGn9rdUiZJT9G1YhHlPYutHe1nq9zOLa8JXCaaG+1lkul8Px848bp02IX08+nx/5da33jXGrredF17OCfcJrAMBmRnANAACAmYgrh+PJEDXxmnpbq/pV4VO3251a1aBvC6LKaQU7pVIptIqIQzAz66u6zuVy1m63ZzpRo9qFpH09LTjV1wdVVCvM889NC6yr1erShXGagNHMBk7AOMiwwDkOYkulkhWLxXBsdD408LFRWf2t1SJknCreUYJaneuNVgf7vs7TltWGRRO46nWh0FqDTTofaS1GRjVOr2sNLKjV0TLK5XLhLhYqrwEAmxnBNQAAAKZqUOsCX3Wt/5utVTGrWtD3s200GhsKC/0kb2ZrFcq+H67CUB/w+LYgmsjPTzQ5K4NC1qy2INqnLH671UdYFczLGlgnSRIm7VQV+KTbN0qrFH+dNJtNy+Vy4VpsNBr2yCOP2J//+Z/bXXfdteGq+7T+1uNOnOjD9GFUbb3RCRV1R8Qs+NeU9kmV9nFv+na7bZVKJUzWqGDeP3cco05iqkprtQgZ9XoctZ3LNCm8NrOZTnwLAMAsEVwDAABgblT17Cd4U09W/7Vqtdo38Zr6Lk8i7mWtbTBb6/+sYEnhmPjJ7zRBo3rbTrMPtzcouFaf6ziEyvp62nIbjYa1Wi0rFotLGVibrQWW3W43bOOkfN/wQcdH31MbG7UKqVQqdvLkSfvmN79phw4dsl/+8pf2ne98Z+LtMVvf31otQsrl8sjhsr8jYNh+TaPaWpOran3TvGb8pIxmFl5rrVYrrLtcLluhUAgVz6pM110bGw3Vh1VdKzDXa22Zeltn0XwCGowhvAYAbDYE1wAAAJiqYaGW2m6IwhXfU9hXC3a7XatUKtZutye67T1tkj2Fg9pOBXJxyO0DZAV2alcwq1vwB4Ws2vY4NM/6utlaKKgQUAMDyxhYm50+3/V6PfQ932iVsIwzsaLa1rTbbWu323bq1Km+7Tty5MiGtiXubz1JtfCoAznTqrZW+D2La0ZtePyyfUseTazqB5xEbX7MJmsTIqq6zrqbQndoqK3RtK7LWdP7az6f3/DdKwAAzNvm+GkLAACATUPBddzjWlRNGVdYlkqlvjDYBy6qRlUl7jjhS9pjtQ59T0Gir6qOn6t9arVaIbiaxUSNg46d2frg33/dH1PfEsRXWGf1El40Vdi2Wi2rVCpjT8CYRcdyWH9qf92Z9U9yt3fvXtu1a5dVq1Wr1Wp28803T7w9cX9r9VpXZew4y/D7l7VP06i21rU0i/7W2kY/WKM7GrQ+teppt9upvfP9sjYibmXkl6tK73HauSwLtQoqFotjv38CALBIy39/EwAAALYUTZAYT/Sm4FUhnh6rAFPhda/Xs2azGVoHDOLDMIWFvqWGD64VRvk2Dp1OJ2yLtkchXqlUskajMZPqS1V/py1X7RLiynZ9XaGm2h6USqW+fso69n6/Fk3nVGHxtKt6NfFmVnuXrMBTlf9JktjnP/95e+mll2z37t22c+fOibfF97f2geg415BeO3FP9rTJHqdRba3XySyqjP1dDtofhcOdTseq1aqZre1LLpfre+/wVdDNZnPiCTzN1iZi9e9BZhZ67us1Oe7yF9HjOubfS5vN5lTvZgAAYFb4SQUAAICpGiWkUUgdVzRXKhXrdrt9AaMCl1KpFMJNtRYZ1JPWzFLDXwVgajHgK2D1WL9dPvjO5/OhF+4sJ2ocVEWrfttx1bW2P66wjts7ZFWVLoIC9kajYaVSaayq41HpWA7qHe4fG9NAR6FQsH379tnKysrQfuKD+IERXefjVESrQlnBbdbxmla1tbbTX0fTDGL9xKxSLpfDBIwabNLgUtzPXcewXC6vu2tjEhrY8a9739t6s1Vbx/Te12g0ZtanHwCAaSG4BgAAwEwMC1/TWl6k9buWYrEYJs0zM6tWq6F3c9Z6FFz7Smm1AlGgp2rKuL9uHC6Kb3Uyq4kah4WscVuQbrfb1792UA9rBd+zCNzHoWpjVdXOqn+yljmod/ig60e9wePHThqOquLaT8g4zn6P2rJjWtXWcVA+TXrt+NZBuVwuhNbqK++Pk65fPd73x9Y1tJFr21dd++Vr22ZxHObNv5cSXgMAlhnBNQAAAKZq1GrMuLJR0vpd++8pcOn1emECx6xJx+KKa99uQH86nU7fY3zltdn64FrhuoKtWUzUOCy41vc7nY41Go2+CutRtmPRVdcK2jVR5CxaFmjfFH7qvI7a31eBada2jXPOkySxBx980P7qr/7Kfv3rX4fWN5MEy76KOg7l/fqmVW09aXuMUei155etgSUFxDpOPjDWHQe6Y8Ifj3K5bN1ud0P95/X60GtMd1Zs9mprz7+XzqJXPwAA00CPawAAAEyV2jIMk8/nQ+VkHLCpkjnuNWt2OnCpVqvWbDYtSZIQVDUaDSuXy2FZvhe1723t16UALN5etSXR89K2Xd9T+DjNSdt8dXDaIECv1+vr++17WGcd03j7te/zDOPUdqHb7Y7Uo3ya6zVbC/zj9frjrL81MOH7O/uBEE0UqnYWg/zyl7+0e+65x5rNph08eNDOOussO/fcc0P/5lGprc2gft3a9mn1Xo+rrac12KFw3fN92LXuXq+37jipn7ue7691tRxqNBoTB+6q3o4HLiY9nsvQ4zpN/F66lYJ5AMDWQMU1AAAAZmJQqxDRLfnx44ZVTmoSv06nE0K6SqVi7XY7VML6KltVVsftKOIA0/dD9tKqrlWFqcCn3W6PXM07jKrB4+OigL7VaoVt96G1/j9KBWVWxfusaAJGBZHzCq39cRwW+Eqn0wm9qHUtKBz1X8vn85nV/t5zzz0XWtw0m017/vnnJ6qG9tdwHLb7FibTGpDwLXFiGw1ifa9vvz4/caUGruJ1+XY3cZsfM+vrgz/p9a3BM61HA2BbTT6ft0qlEt5Ll6H3PQAAQnANAACAqRqnujBtMkRReN1qtTK/X61WQx9ihdkKSH0wpiA7DuC0nVnBtJ8ALt4vVbSqYnvaEzX6thY+sFZLEAVp8bEpFAqhMncQBYTz6HGrliYaYFhEAOgnaIyPTdxmQ5Xs6n9utnat+mp4TRY4bKK7a665xmq1mpVKJVtZWbHXvOY11ul0rF6vh1YNw87XoPYfPrieZrW1XkPTPl8KpeNWPn4QRoMzWQMc+npWQK/2IpO28VFva52brdDbOks8EEh4DQBYFrQKAQAAwML4yuW0YEj9rpvNplWr1dTKy0qlYq1WK7RtUOW1X6av5EyTFmbGE7SlBYalUskajUaY7FEB5jRCLoXKCs5KpdK6fdAkjX59qkYdpepWvcQHHZuNUAisKutZ9EketG6z/spgP1Gn/7r+r8kCNWihr/nQWlXbWk6pVLJ8Pm/NZtNKpVLfMVdAu2fPHvv85z9vR44csfPPP9/27t3bt75OpxMGXxS4xudDLTsGnSeF2+O2IMkyrOXMRpar86OBFl3Duu7TWoTEy9Djs+i9Y9wKdPW2Vg/oWU0cukw0ENhsNieaNBQAgFmg4hoAAABTNW4/VwVXWe0W1EM6q5pZldlq26C+12anw61BFZdaZ1rlctyCIG0Zvle0rxDfaMVit9sNf9SHNi0885PUxV8fpZJ6UMX7RqlK3MzmHlp7cduVrAka/TFUe4hisbiu2lbP99eMzpECaFVkt9vtcG2cccYZ9trXvtbOOOOMviruUqlk1WrVarVaGIio1+vWaDRCVbKCVB8ip7UKUbg9jWOtNiGD+oFPulzf4sP3qdY5GCU49XcjZPETqY5zZ0HcVmijr+dl7XEd00CgBpyovAYALBrBNQAAAKZKIc0oPa7N1iZCy+rLPKzftR6jtg1qE2JmoXfroEprhXxZvbT9Y9P4Xte+fcgker3euh7Wg3rrqt9yHMqN2i7EV7xPi4JJVSAvqjWIl8vl7NChQ/bDH/7QXnnllXXn0h8n9TaOK9v9sszWB+Bxq5pWqzVWWKrXQaVSCW1FNAGkejXrTxod92lNsDdKhfe4BgWi+Xw+hOUaEMqia7tUKvVVb6dRD+dRg1gNEuh1ocGEWQzuLCOF12a2oR7hAABMA8E1AAAApmYjE6EN6vPrW4JkBUgKYdUeIA7c0sInPxFjWgDm+/tmbZvaOyj8nWSiRoWdzWYzVO8qgBylV3Vaj+5RJ2ksFAohMNwo319cVeLL4LnnnrOvfe1r9u1vf9v+8i//0o4cOdL3/TgQVgCsQY94EEbXRdpxL5fL4Xiq+j/uoT2Mzl+5XA4tcnTXgfpi++tL1d/TqrY2s6m1vPE06aWuOT8Zqv7d7XbDHRODlmO2NqAw7LWmXtmjBLE699oWvadMc3Bn2fm7WAivAQCLRHANAACAqRu3StO33Bj0mHK5PDRIUY9gP8meqpbjSfQU9ik8i4PIOAQcVHXd6XRCBfeoQZcPrFWxq20dtWpdFaFpPbpHCaOHVbyPKp6AcVGtQdI89thjVq/XzcysXq/bwYMHw/Hyob0CYB1733tZ3zdbuy7iwNu3wZD4uE4SAvZ6vVCJrbYrvV7P2u12uKZ7vd7Uqq3VniQtuJ40xFTfeb8Mba+vXh+lt7ImRB3n2tW6Br0u1XNcy1S7kO1WdW22NhCoFkzbad8BAMtjeT5NAgAAYEsZtVWIKPwd9BxVlLZarYHLUtsOBYsKIlW1rcptBdb6Ewdgal8gg6q9fdW12k1kBceDAut4/cMCI1XnpoXug3qHexsJ5jRA0G63rVKpDGxtMk/+vF1++eWh/UGtVrMLL7wwfF/nTNusAFjHIq1q3Afcepxvg5EkiRWLRSuXy+sqo8cNfuOWHRoY0cSlcW9oVftvpEpW4W3WeRz3/HY6ndB+Q8fMH2P1FDdLP97xtvnHZQ3cpG1zpVIZ2HKo1WqFgNv3FN9oS53N0uM6psprtWAivAYAzBvBNQAAAKZmIwFNVvsFT0GK+tBmbYPvgav2BKog9X2IFWj7Cto0CrC07DTqt6tAM22iRq230WgMDKz9/o4SFqVVq2cF2lnrmaTqWj25kySxarU69dYS03LZZZfZxz72Mbvxxhvtk5/8pJ133nl9E2DG7WB89X1aqxgNaPhe4s1mMzxeQec0JvWLJ2X039OdCnrd+b7Y6pU+SqgbU1g+DZogVf3mtS3+jgBVvY/y3qFrVNun1++o17lel/HrSsdJA1Bx25Vhg1FbmdqlUHkNAJi35Wg6BwAAgC1hWHD90ksv2de+9jVrNpv2lre8xd71rnf1fd/fop9FlZMKf+OWFL4FRLFYtGKxaI1Go2/7KpVKqCBUew/13vXBlEIx7VMul7NOp5Pag9dXZVYqlVAlqxCw3W6HnrmjtEMws5EDuUKhEMK4OGwbdcK+Uqlk9Xp9pIppBartdtvK5fLUJ/GbtlwuZ5dccoldcskl4f+qvI0HGBSIapJAv1/xxIy6XhS66jxXq1UzsxCA+oB2HAoJB7VdUdsMbbu/00ChsUJ2/Rl0rkZZ5zjb32w2rVKphG3yr1ldr5oEcdjx0T7F+zDK+4aoUr3ZbIb+4fHElp1OJ5xD8XdVLOsAzSzp2DYajfD+BgDArFFxDQAAgJlIa4tw55132tGjR211ddV+9KMf2eHDh0PLDAWvvV4vVIrq/6pq9eFXVr9rBW++V7TaROjx+nqhUAhVhL1er6+y2u+HKLAdVJntqzIVdClkr9VqY7XSGKVViLZxo+1C4nYnWdQSw0/AuIyh9bAQVMFzHMD59jBZ4ZwfyFCFfbFYDD3Vc7lcOI5pPbJHrVr1fZaz9i8tSNWAS6lU6uuL3el0rF6vW6PRyLyO49Ykaesd5XwrtNYkf61Wq69vuD8GGiAYtty4TYj4yvdRFIvFsE1+Ik3duZA1yaXC9e1YdW12ev816LfRnvgAAIyCimsAAABMzTitQtR2Iy0EUk/cUWjSvbilg1qExOvUBILq4+t71+rxvlVC3K5D1bpZvY+1PPUaVgA2ycR5Cv9HOa4KTv16/MRyo1TQqjo9K1xXBW+hUBi5anzR0gZQdG1lDVTE348fY2Z9vdb9sVeI6iuANYDgBzKGVa0qIE2r7hdVH48ysamCbC1X51LtRnyluQZ6JqV2JbrjQQGxWveoytrsdMBdq9XWTWqZRvsYX8sauFEf7WHUMkQBvn9e1h0Vep5e33E1/iAabNsKNPmqWuOMUuUOAMCk+CkDAACAufnoRz9qX/3qV63ZbNob3/hG27dvX1+wqDBb4aivsh5XWlWrD7XN1oJqbYO+3m63MytSVXGsClLxIbP+78NA31PbP2fYv7Uvw4KyuP2CqI3IKIGeQsxOp2OtVsseeOABq1ar9ta3vrUvSF1km4BGo2Hdbtd27Ngx8HH+3MXBtL/e0s6xWn/Ex9sPjug4q81EPp8PFbkKtEulUgiH/eCD7hbQ5Ipp53WUyme1tBhn0kcNZmhbNXjk714YdbAka7sajUYYFFIwrGOg/dVrTYMkw8JdbWvW8RqnLY6Og1oO+TsW/Os2jdrBqHJ8O9JcAbpmJhmUAwBgFATXAAAAmJphYdfevXvtT//0T0N7jkajEYI3s7UWBwqd48pPH2Trj6/ajgNKH/b6tgtqQ+KrBeOgWsHlqMG5tlnPi1shqDo23k6/b2n/NrNQ3ehlBd3NZjO173f89aznq5L4y1/+sh09etQKhYI9++yz9vu///t952oRHn74YbvrrrvMzOy6666zD37wgyM9z58L3wYkDvn1fQWsaRTM+mtLVcMKZP1Agw9b/XUeB39pLWkGVVubrVVSTzoJpEJaDRKpMnrcvth+u5vNphUKhdA2J65Kr1arfdvrq94HrSOrTYj4tjijVjf7gQgNQAw75pNWXW81+Xw+VF6nXcMAAEwDwTUAAACmxodPg6pAFbZlhUVZLSuy+uBqokBROBZXbMcBt9oT+ADKb7PaYdTr9bA/vs2I+gar+lKBmQL1OIxLa4vij5ffx7gfsg/ssgKiXq8XAjVtR5Ik9tBDD9n9999vxWLRfv/3f9/OOeec8Jy0c9RqtcKElt1u155//nmrVCoLD6a+853vhNYwP//5z+1tb3tb2K74+GVVVSvgzGpVk3a8/XJUTaw+1r5nelxt7fsu+23UdVStVq3VaoUJDONznhXAaplxpeukVdKivuU6RprA0rcUyVqH9l3BrpmFdiHqIa2g3YfZ/pgM2vasNiGiSvJRAn+/TG2TBodGCb2puj4tn89btVoN7xWE1wCAaSO4BgAAwNz58FDhkQ8KFSZl9ZKOKbDy4VhMYWGxWOxr26Hw2rcvMLNQEW52OuA+deqU7d69OwRVvg9yWqirFh36nq8w91Wy+lthZRy2+4B/1MpaH+K3Wi277777wr7ceeed9sd//Md96/ZhuYL83bt3h5Ytl19++UjrnbVarWbHjx83s7VqYT9IYLY+qFbQLfHxjlvK6LzG51OtUkqlUl8o7a893xYkrrKPK6r1tXK53Nf3WoMhgya91PnVdT6NsFB90LXMrL7Yvr2Or8TW9eknQlVVe6lUCq9l35JnUA9xz7cJGUSv7VECfL2mqtWqma2F2KMcS4XzqiAfZV1blb97wE9OCgDANBBcAwAAYGpGnYRMoW65XA79ouPAWcHQOG0KzEYL8RQ4qkpa/YZFVYT5fN5efvll+7//9/9ar9ezXbt22Wc/+9l1LUZ82On3wbfoUJim5er7caiVVoGt0D3re2YW2iTEQWy8fAWACuniKnZV2X7mM5+xxx9/3Mrlsl1++eVWr9dDO4xF+cM//EP7m7/5G2s2m/aBD3zAarVa5mNbrVboE63g06x/0MQsO1RUlb1vF+ND2rgCWJX3qvxVSxp/7tOq+hVedzodazQaVi6XB07K6IPf+G6EjVRc+5A95vtit1qtcPxUpayBGYW4qqhWv3RVWSuk98v1xyNr27W/qnhX2Jy2nWY2UiW0rg0NMOh5g46Dp6rrUQfXtnKYq37hzWZz3d0DAABsBME1AAAAZmJQq5C4utfsdIWmr170kw0OC5J8uwdVhcbP8QGk74PrJxrz4Z9CrR/+8Id26tQpMzsddj399NN25ZVXZu5bHBxnhckK6v1xSGuFkiSJ1ev10DNYwWVW720fdGvfbr75ZvvBD35ghULBPvKRj6ROpqblqgK9Wq3a1Vdf3feYer0eKsYX4ayzzrLPfe5z4f+j9DOOW4EoZIxbQ/hzpEkTVWnsq/LjCm8Fsfpb58WfI11TvmWNJgI0W6teVvg3rGWG7wM/DdrPUVts5PN5K5fLoWq50+n0DcooxFbluF7DPnT3AzGjBNdPPfXU0P7mCtiHhc9xtbXaFeVyufA+NOy60oDDOINrW5nC67TWNwAATIrgGgAAAFMzTsWnKlHL5bI1Go2+KmyFhKVSKVRGDtJut0Pv6axb+H1wnbYt1Wo1tJVQRXaz2bRdu3aFZefzeduxY0cIrJIkGRpyqeLat0lQ0Ge2FmwPayegVh/aF4XdCth96K3jqZD2bW97m731rW/NDEX9JHo61goAzaxvMjqFUqOG18eOHbPV1VU777zzphp4q7J3lIAsDnrjqngdP50DVUz7HuwKQ1VJrWBW/9dgQa/Xs3K5HI6pqo7jViG+9Ut87jVY4Qc3pN1u9w1i6FgMGigaxu/bKPQ4BfB6Dfh+2Lpei8Witdvt8LrU6z5tYCmNXrP33ntveH0+9NBD9s53vjO14r5QKKT2x/d0DH31vfa/VCqtG0TLonMzatX1Vhe3vln0ZK4AgM2Pn64AAACYmnGDawU+CrF0q75CIIXZgyprFRoqyFWol1X154NKz1dQKsQ1M7vpppvs2LFjdujQIXvDG95gF1xwgbVarRDEKdDOUiqVwoR+2j7fVmJQaJ3WWiL+v99//VFY6sO0uMJV/1bYqKBPlahxRa/Ca+1PpVIZOqDwi1/8wr71rW+Zmdm+ffvstttum1qQ5auX00LDtAkZ9fW0ftOewshms2nlcrlvgkGF5QqV/blU1bLWVygUwuBLqVQKjzezde0uVPWsc6GK7Xhf/d9x/25NjugHMQb9W3/H10qW1dVVe+CBB6xWq9lb3vIW63Q6IbQ+deqUHTt2zPbt2xfC6m63G65vbZv2JR48GNYmJD5eWds7rD9+r9cL2222FmJr/Xr/0HkexPe6pur6NB0TVeCPM8gFAECM4BoAAAAzlRVKKVw1MyuXy1av10Nw7CtNFfRmtTFQmOoDZFVNKjA0W+vDOygE91XQZmsh2Ec/+tG+lhMK4vz6432Oe07HIWO8Dv8nPl6qzlV7Br8O3/4kntjR92n2y2y1Wn0BusIl9VhWwKgAVlW1aptRLpf7Qt0s9913X9jvw4cP27Fjx+yss87KfPwwccg8qFWDr542W98PPP6aKKSO90/V8qVSqS+w1+SD8YSJ/nr0r4GsymgF35r80Ye/GoDReTA7Xclfq9XCslTZr5Yc8XWif2dVeXc6nb6JF+OwO0kS+/KXv2xHjx61fD5vzz77rP3BH/yB5fN5e+qpp+xv//ZvzczsvPPOs8997nPhNesnwfT9pH3V87DgOpfL2cc+9jH7+7//+9DfPK3dTXwO065NhfT+2vbvLRrAajQaIwX6o1Rdb6T3+Gak8NrMxr5DAwAAj+AaAAAAUxMHdLHHHnvM7r33XjvrrLPsox/9aN9zFD4rFNVt5sViMfPWf9+iwQfIPnxSmOf7E8eVwqrCVJBeKpVCBax6Cg+igDir77DW7SeEVBg9rKpTz/dhq/4etF1qF6Jg0PdZVosH8RXmCsDVg1ltUsysL9BTX/AkSTJDxD179tgrr7wSQtKVlZWh+zpIVuDrByj0OB0vP0AiCk39133bDYVt/jrR8fPhpF9HXLmrQDveZt+yJq789iGqrmFN2qhrWOFvWuW0rvVRqWVJvK0+4Nb10Gg0rF6vh+08dOhQCMnvueeeMEDxwgsv2AsvvGBnnXVWODdmFirOFejrNaBqdR0Xf0y07mKxaLt377YvfOELfaFoFt2pkba8TqcTWowomE67+6JSqYT3j0GvM6qus8WV1+NcmwAAmJkx7AkAAICpGNZf99SpU3bHHXfY4cOH7bHHHrNvfvObfS0cdIu+wlKFogrj4vDRrL/aOQ6p8vl8mCzMb5uvuFbltPrx+p65vrJ22ER4PhAvlUpWqVSsVqvZysqKraysWK1W62t/orBLFZ/DTDIZn5+krlgsWqlU6qssLZVKVq1WrVqthv1UEKlg2wfcq6urod1Dr9cLQW273bZms5m6fR/72Mfsda97nV144YX2qU99yl599VV76KGH7MSJE2Pti8RV1Ap6437RPoiPK3rjdjRajrTb7XUhm9p2xMG0rsl4ckEFrv56jIPmtIrntOCzWCxapVIJYfWgtjLj9rjWudS1XiwW+66VcrlslUrFqtWq7d6923bu3Gn5fN5KpZJdccUVYbt3797dt906tr7dia5Hhf/++tO21+t1azQaIdDW8fWv/VFeC/GAi+j9QuuLBzw8TUCp96FBfO9z9NP122w2p3p8/GseALB1UXENAACAqcqqOPStMpIksWPHjoUKTB/mqhVFq9UKwVKxWAztLfzEcH5CvLQWG4VCIYTgqihV2KHlFwoFq1QqofrU7HQoon+n7Z/v06tl+r7GaZWFpVLJ6vV6aFPgKzWHTWKWVaU7SNwf3O+f2VpFsO/56ytLm81m2BdNFKhjqN7evrezQkn/J5/P24c//GEzM/vtb39rX//6163ValmtVrMvfelLtmvXrpH2xW+zjof+r77hfhJFbZevMvctPFT9mxZuxqG1+h379hk6BrpLQO0sfJWyrmltixeHzApRs6rvfT90tdJJuw7GDfKGtc7xy221Wnbrrbfar371K9uxY4dde+214S6Fj33sY/aNb3zDjh07ZjfffLPt3LnTzNYCZy0//r/+rTBb50MtadLovWCYuM+79lWDN3GFfNa6dMzVQicLVdfZ9B47SnuhYZIksTvuuMMef/xxKxQK9rnPfc727ds3xa0FACwTKq4BAAAwFWmhqg/o9uzZY+eff77VajWr1Wr2jne8I4TO4iucVUnrg+24MlbVk4MmSFRFpa/QU7sLMwv9jBVk++dVKpV1FZm+allVuNpmtYxIq0D2wbzfX99OIYtvpTAqhYEKAtX2wAf/CuUU5Hq+hYNCeYXEqkzP5XJWrVatVquFxyqAjFun/PznP7d6vW7dbtfq9bodPHhw5H3x2+SPh/6vyQw10aQPgOO+3/6cpQ0wxO1BFLZpvWZrAayCT1Vw+8kT0/pb+2XEdwFktX5RqF0ul0N/a1/JHC93HNruYc/VAEi5XLbrrrvOrr322hBma7s+8YlP2Be/+EW78sorw90Ofj1+4CqtH7m/fiqVSmZPe9/LfRC9t+ga8QNfOqajBKgarBn2Gh30Wt5uPa7TFAoFq1ar1m63hx7LQQ4fPmyPP/641et1O3nypN11111T3EoAwLKh4hoAAABzkcvl7HOf+5y98sorZmZhYjnfViGuQlaVXrVaDT2JFRCq2tqsv3pYrS78stO2RSGu+kArWFpdXTWztVDSV++arbV00Dra7XbfRG9alvpy+2CwWCxavV7vqxBX32htRxYfHo8qn8+H6lRVEvtqcv2dFuD5KmVVNKsCXj2A/QSY1Wo1hP8KLdvtdggQL7nkEnv88cdD2DlJlaS/TnwQrcBTy1aFuadzoOP+4IMP2qOPPmpXXnmlvf71r09dlypotf9mFtqkqEpey9Wx1XWX1cJG2+K3b1CIqmpuXetqXxFXS8cDBaMcy0GTnoqq6+MWHQr0fdV6/LowW2u/4wdzfAV/1uSMcSW8Bn30db2+siqc/cCNgm7fwmTY680vJ+6Xn0XnZpTBgO1IAxrDeuN7One+dZF/7YwyRwAAYPMiuAYAAMBUjFJVmMvlbM+ePaHfqVow+OcqUFIgqiC7XC6HQEyBqCpBVRkbryutulW3rQ/aRr8/Cgd9Na0Pr3zVuCp/NemigjaFqXEwb2Z9rS4Gbde4fa4VsJr1t7/wYV23201tUxKHvgoX/WR2PtBVoKcqeQXxOiatVsuuueYay+Vy9pvf/MauvfZa27t378j7EvPbq6rhuPWG/3fc+/zRRx+1e+65x5rNpv32t7+1Xbt22aWXXtq3Dp3HuMJelf46jr5aWteJX+ewimsNeKQFyGnhsg+xG43GxK0XdC0NCm81WKF+z+oFrzYyvte43zdfhR739lb7jV6v1/eajc+ZD671npDP58MAiVrcqHWK2tr4/dF7hNnaRIE6h3r9jcIHrnFLnfhx/r0L66WF1/H7j64P34JI19uePXvsd3/3d+3f//3fbdeuXfaRj3xkQXsCAJgHgmsAAADMTFZ7C/UGNlsLqXwYVCwWQ7ChClaFZgpjFWiIwmHfz1lBq/pKr66upk6cl7bdvje0bwNh1j9Zo4Js9eXV7fBqwZEkiTUajTAhnSrHfQBeKpWs0WisC8XTtmkYHU+tXwFQWnA9aBk++E8LJLXdWpcCcAVRcT9tM7Orr77arr76ajOzicK9eLvM1kJTVTn7ljB+UMSfvxdffDGEps1m044cORKCawWd6vvtg2ZdO9p/fU3/jnu2+22WOLge1K7Dh3YxVSxr8tFxW8nE25n2/Xa7Harr0yqgxbfd8depP056vq4PBc96rs5H2jWhsNvfAdBsNsNdG74vdtyuRsdEx3CcamtPE6+qFU3WcdNr2bclQT8NQKhFk94nfUW1BiL8IJHeN2+44Qa74YYbQosiAMDWRY9rAAAATMU4fVzj0Kjdblu9XrfV1VVbXV0NIVan0+kLrHxwtbKyYrVaLYRUCoparVbop1utVlNbR2RN/Oa3TyFlWnuOuDrWtxNRla5CLm2HAuysgNWHkIO2aRC1t1CArop1f3t9fI5G6cmrimLfDkNf95Xw+pqvAPbV155fzqgUDvu2H51Ox06cOBEqjxVSp1Xb6/+vf/3rbWVlxcrlsu3YscOuuuqqvuOhY9JoNKxer/cNmvgKUYWgOvdp7VyyXhe6VrLahPjq7rTvma3dPaBtHvV4Duvx7KuhFd774HpQcOu/ruMY9yY3s1DFrbsM9L1Op7Pu9Rm3E9Hx1utOfbFrtVq4HpvNZtgH32981N7WaXR9DXr/0Oskfl0RsK7x76vqv6+7b8rlstVqNatUKmHA0WxtklSz9MENAMDWRMU1AAAApiItoFNAoT/xRHnxY+Pb/RuNhlUqlRAIKkCMJ7ZTL2cFiWm38+s5vlduVnWzAtGssDduQ6KwutVqhUpQhS7q7avqZ7U20DHRNijsyqpE9sF4VnWuejL7SmEf/Ph+xOL7VvtjFa/Dh/++6lqDBjr2aaGdb7Xi92ecquv4XOjYfuUrX7HV1VVbWVmxP/7jP7ZSqRQCy/iYaRl79uyxL37xi3b48GE799xzbWVlpW+7tE+qVvcDBq1WKwRo2n8dXx2jeILHrIprBexp1b+Dqq3j46Dq1UHXh6dtTVuvf5356yiumP75z39u3/nOdyyfz9uHP/xh279/f9+51+tMdytkrU/7UKlU+sJJTwM6OhY6LvEggb5eKBT67rro9Xqhr7bWNwnf73pQAO6rrnGafy35a7tcLlun07Gf//zn9sADD9iuXbvs05/+tO3cubPvubomfWslBgMAYOuj4hoAAACpkiSxer0+UhWn70eqKtXV1dW+ntQKvlRpmdZj1rf18K0QzPrDYj/hmloEJEkSJnTMCuTET3CXRq0MsiZD7PV6YTu1TQqkfVsEhYpmp1sh6P96jsJGrVM9otOOufY/rYK43W5bs9m0Uqlk5XJ5XaCjYFkV2XFQHYfKqmT1tG/q4+1pedofH16q13dM2z1u1bWfjPAXv/iFvfLKK7a6umovv/yy/fjHP153vjRg4qtue72erays2KWXXtoXWuv7CthU0axwXdeXb1+ga7HVaoVwTVXvCk3j4Hoj1dZpVLFvZqGqfxANMqSt14fWfh9FgfE//dM/2alTp+zEiRN21113mZn1vV70+m232wP7afv2L2nf9wMvasET953P0u12w/uBBo5yuVyoovfbNiq1TtF2pPF3J2xXur51B4yuy0KhYLVaLVTHq+3L97//fTt+/Lj99re/tX/4h3/oW46uSTMLFfWE1gCwPTAEDAAAgHU6nY79r//1v+zVV1+1crlst99+u+3YsSO1ejqNn6RMvZ3TVKvVEEpoIjUf7Pp+0H7ZamWg4MhPPpjFB4jD+tUqSFOlqG/N4ENNTarnK3zNLFRdazmqKlQFudqXKOxUuKZqQm1X2nH14aCvUB00aZxCNFVkq2JR4gA1rhrWutvtdgjXfcW6wrxGo9EXxuu8K8BM259Rq67jiuskSfqq8VVprmpO3x/dDzCYWTivacGjjrsq+P226/gqvFUrFh0PXTN6jUij0QjXgh988BX33rBqax/E+2NptlbtmzVpo4L5uN2NDwj94I9CefHH1j9XX1e1swZ3Go3Guj7T8XrjASmtR8dAAyFato7noArzTqfTV5mtY6rzO6gv9rBQVINvmqwx7fHbrepa59xf/wrw9R6bdVzj94bV1dWwTF2TOpfjTlILANjcqLgGAADAOr/61a/syJEjtrq6aseOHbP77rsv9CFV5a6qGKvVqlWr1RBQqz+pqlIHhUD++wq64ipktX5Q2wEf2ur/w0JrPd6HhsP61Sog8X11FbD64NOv3wfsafuhSk0FyKoeVPWnKpoVAGVtk5mFIFzB0KD2BzrOClvjCtc4aE0LA+Njl9YORO01zIb3odXyR6269sdS23vNNdfYlVdeaTt37rQrrrjCrr/++nBd+OfF4WFaX29PIXihUAiDEvG2+HYpfnBDx2FlZSVU2/uJ+uLzqrBf4bcqiyft46vrQXc6xMdW127cGkYBc7lcDtdzHFqbrQXK73znO61Wq9mOHTvs937v98K1qwENvXbiVh5px1LHJl6XBgYUNvvjrmNfr9et2Wz2tfZRxbrCeV2XOg+D+mLrfc6H6Gn03pPVl36rt7RQUN1ut8NdNnov1c8B9dkf9HOg1+tZrVazyy67zGq1mq2srNgtt9zSdz3o+tBrgoprANg+tsfwLwAAAMai0E4tBdSzOW4x4aVVgY5ClYt+cjuFIT/4wQ9sZWXFrr/++hA+KfDVrfqjhNZma0F33Jojq1+tWhH4ffJVqFqGwuA4kIzDM7O1QFQTx/lKa1WA+okd42pO9YVWsDZKpbn2XcfXV53re2anw1xta1ZwrfNTLBatXq/3VX/HoazfLlW76nj5alldZ8OCWm2nAi1V337oQx/q20YdFz8goeObVi0c8xMu+rYXqs71/bx9n2ntf9q14K+BuF+vjk/8HLWe8ZWmg8I6/z2F13qN+PYxPnDX8dTrr1Qq9X1PYXB8vNrttl133XV23XXX9a3T3ymhINwH+ml0Xfre7zqecehdrVat1+uFCRx1jlS5r+tC6/MDM4OOm++L7dsP6f1Ff+Lj798/0q5fHYetErLq2Pi+7wro047PMN1u15rNpuVyOfv4xz8eWuusrKyE46/rx1/D47YXAgBsXgTXAAAAWOfyyy+3N77xjfbII4/YeeedZ295y1v6Jg5U5aI3rEo3iw84Fdaurq7al7/8ZTt+/LgVi0U7dOiQfexjH+sLahWgjHIrvg+a/fYovFb/6bSQ2lfT+mX4oF3HxFcuK+SJQ3G1K1A4r1YTlUol9AjX49MCMa07q0VB2r63Wq2+PtcK/HxY6teVVdHo23L47Vb46ds6+HYnfjLAOERUi5i0ayreD22nf57n92/QctIqxsVX2rZardDWRWGdr0yWODT2lc5pvcLFVw6rglXX4vHjx+2v/uqvrF6v2yWXXGIf+chH1rUa0XnMOlcKrzVIov3z265wO27po9e7WsBo3xQcx9T73Pd+17HUgEXaufEtXTx/PfjnqU2H7sTQedGgml5zuVyu77pXa59BAyT+ToRSqdT3Glaw7ieQ9S1y0u780NeG9eJeVr79h86l9t3fuTHJctUD3uz0udY51UCA/17aAOVWGQwAAAxGcA0AAIB1crmcffCDH7QPfvCDIWRQ+KIWBMMqsLPcc8899rOf/cx27Nhhn/3sZ2337t2hgtoHJaqY7XQ69vzzz4fwUAGGKlvb7fbQaj/f5zgtOFUIljZhZMxXR/tQyldX+ipTBV5x9aj6XrdarRC4lUqlvknddJx1HPT1tAkYs/iJEjVhmm7fV4Wq9sFXmGeFoX5/VXUd76OOc7vdDl+PA1t/frXPcd9lT8e02+2GXtbxtnU6ndQgNz7nadW/ce9pHQtV4voBB4Vuvg+1Dz2H9V+O1+f/r8D5/vvvt6NHj5qZ2TPPPGPPP/+8XXTRRWFf4ipt33rFB6u+v3pcOazKfb0G/PHSIFJ8nNNap2j9nU4nvIZ0XfnXQtZAjFqj6JpQlbh/TNqgmCqeFZr79iR+v81OX3M+SB+FWoroTo24L7b6xev9K20wSevNmuh1mfiKc7/NustlWNX/qOuI+57rmtBryL+2dE3FrW0IrgFge1jun5zYFp566in73ve+Zy+++OKiNwUAAKRQf2YfGJudDs7UXzarmjJ2+PBh+8lPfmKnTp2yw4cP21133bWumq7VatmuXbts9+7dIRQ6cOBACKJ8RbP+zupTLT64TqsAV5Vo2nKyQs94gj/dMu/DKT3GBzXxehX06dZ4X1FqttbDV4FtWvg+aL8VCCuEUxCp45HWGiIrYPP7q2BJYb3CQzMLwbgqJxWWxsdA+6KAalB1vtarfdG6fKsSbXscCA/qo50W1PuJGbXd+r6vsFc1c9o1kvWa8MfPb5Ou43jiTD22XC6HnsxmpydQrFQqoU2DdDodazabVq/XbXV11RqNRt8xFoXvut58dXOz2QxBZdz7PK1nuG+rE09gqa9pUs/4PPiKbD1Pwbs/ZmnvLX6woFqthl7Vuu513b3yyiv2la98xf7mb/7GDh8+PPRaS5PWF9vMQn9yMwvHOs2wvuqLogp6XTNqG1MsFvv6VE/SCiSmnxmi69q3sYlfH/G1AADYXqi4xkL9+te/tjvuuMMajYY9+OCDdvvtt9uePXsWvVkAACCiYFLVeNVqNYSSqqAzWwuYFETE4Vxcvdlut/smMTRbC84+97nP2WOPPWbVatUuueSS0BZE7SkUxulWfgVeaYb1wvbVm751gQI1X2kY9831lbWlUsnq9XoICf1xaDQaqRWZCt0ajUZ4jEJwhZkKSxUCjhK6xQGk1qV2JmnL0veGVQn7ymSztcGMOHxURbauHf+8OCgeVHXtj7ECUT9g4Hvhmq2FhAo19fy43Yi2NW1yyrTATJXYCtt0nnX9+2skfi2kbZsffNEdB2pv8b73vc8OHz5sJ06csKuuusr27t3bdy1q3/x1Xa/XQ4sN7VPce7zb7drq6uq6/de+quWLrzL2+x9X3fq2Mz7Q1nHX9/1khTrHWrba9Wgd8TWg8xHTsrVd2gYNoqgNyl//9V/biRMnzMzsb//2b+2P//iPw3EepX942nrjvth6P/SV7b7ftm+jskg6p7qWdWxV+TyL7dPxiSeq9O+H6net93QNDGmgJl4eFdcAsD0QXGOhfv3rX4cP+o1Gw55++mnbtWtX3wdcM3qYAQCwDBTutlqt0L84rg5VFWdcBSrnnXeeve51r7NHH33UKpWKvec97wnLVWhnthaQve51r+tbtihg9p8X1Mc3bb0KT82yJ/by/Wp9uBvf4u//rW3odrv2ox/9yP71X/81tDzodDr22te+1j70oQ+Fx/i+z2nHttlsWqPRsHK5HIIl9ej1rRBGqbhWmw5/PHzVtY6dX4dalmSFVz6k9I/z//YhoN92hddxlbVCRoWYae1ndO7jdhhpvYN9ewo/oKDPnGbWF3pnSTvGOlZ+QEJhnyqvFc7pmMQtDvyAhnpa+/Yr2v9CoWC33Xabma0NBOjayJJWRa/1KsSNr5+0uwxUpZ72GVzvAX6dOjZZgw7+bg0frsc9yuPBIb+MrN8HdB3ouqzVan3XeXxHxurqal9wrm3wIfY4NIiguyRUUaxla7s1MJP2+p8lDcLp/cS3/6hUKqmDK9Nev1rS+EEknSeztdeBbxej9jFp2zborhAAwNZCcI2FOnDggD366KPWaDSsUqnYBRdcEGZ8j2er9j0DfaUJAACYnzi8VvsCVTf6ie8UfMXVmR/96EdDYK2vKbQYhSpE40phs9Phtdapzwxm/RW7g6qV9RnDt7xIa9sgarVw9OhRu//++/tugzcze+KJJ+z555+3Sy65xMws9MdN21dVufrAS8GSD88VfA4K8xQsp1V4+8kQfQ9ZVc9nVbf6/de59RMz+rA6bXtUnSq+pYTvcRyH+6qo13MUwKl1gQ9h/UCDbzkwKIhPO4bxenyldlrwqCDNT1yo5/jjoc+5+rfWpdDVB3W+KlyhcLVaXXeHwih0nPxAk15Hvve57yOeNigQf0b3+xm3kvB3JPhilFKpFK4/XcMKj7M+4+txR44csW9961tWLBbtwx/+sO3evTv0atd7TzyZoAbAfvWrX5mZ2Zvf/OZwJ4L6V+s5mmRRr41xf9fQa0L98tUexQ/M6L1uVr/L+D7V2i8NhGiQZV6/QymQjt+L/fuS3j80Z4H+1vUKANje+EmAhbriiivs1ltvtWeffdauvPJK27NnT/hFVxPT+FtSVS2g/nj+l9I40CbUBgBgNtLCa19RqT696hmtid58KBe3qFAgNwofWvs+s6q8VLWlHqcATeGW2emWCvHnBt9WQp8/fIWg54NN9d7OonBYIZZC37SqWK1XAbbaKqiNSa1WC0Fd3AbEL0fnJSuUjdeXdozT+JYbCp/0x7cJ8cvx14o/JnGw6a8rBdnaF11XCs191Xja9seDJWnfTzuvooBXE+7556WF4D7g9ncP6BpUkKhjoCBRFdyqpPZhng+Odb0VCgWrVqtWr9dDwB/v66DzqdBa506fuxUi6+u+T3RaH+60ZfvKZ19xHl9LGthSeO3btGiwxfPn6Stf+YodP37czMy+9rWv2X/9r/+1r2pXxy0+Du9///vtzW9+s+3YscN2795tzWYznAv1b1awq9Bb7WviCS2HiSd79ZMb6prQe53v572R313ioNrM+ta7iN+LdI51THVNVCqVvvcgvXf7ARD9Lpi13bQKAYDtg+AaC3fRRRfZRRddFP6vyW58tZGqHvwveP4XJ31Q1Ydr308v7W8AALAxvrWFAihVU6o3qcIHHxarwlF8qwr1eY6Dt7jCOg5c9VlB1bBahqqaVe2o6uB6vR7CxfizRDzxo8ItVaOq1UJcyX3GGWfYNddcYw8//HAYfG82m3bdddfZ3r17Q0sMH2oqvNRyFGr5ELHdboc703RcFdardYSOuT7j+MAt69z5MD1uF2K21m4jbnPhg0z/PR9E+/BVYauOhz/vvrpXn/0qlUoI7PW9uH2Df1xccR1XW2t7BoXbaZ8N/f6rwj2t97JfrwI6DTzoWPnBCjML1e1+XXEgHlc763zFbV90bQxrm+CrqRWmmq31JveDTVp23MrDv+azjoEfHNJztH5do/rjX89mawMqaQMx4kPzkydP9rVZ8e8Dnq6HvXv3WrVa7Wsfo/Or9zD/R1Xo/vujhswK5PVa9MevXq+HcF7Xul4no4bkem0prJ53+49h29Zut8PrtNVqhfcYP8jp79TQIKdeG35gKW0/CK4BYPsguMZS8mG1bg9V5Y0+zPkPZPEvZnGFtj7UUaUNAMD0+NvifaCkr2sQWiGyqmZ9r2HfKqBWq4WqxDhojMNH37pBnw8UFCq8VgsG32bD/8zPCnY1uaI+P/gQJa1Ng/b9fe97n73zne/M/Eyh6mltnyqmtf+qpjVb6+Gtam4F1H6bNKljq9UKIbQ+/8RVqzFV+erYKXj1oZ+f0FJhVK/X6xscSGt7Ib6dhwI5/ziF92rRoGBP4Z6vTFcQrWBf26ZJ7zxVu0ocbmt/fNju6Xxr2xXqmq3/zKlt8kUTcaWynuOrkf31rOvCXzPxPvnrW9SiR9XaCobj69O3L4kr9BXO+qIRBbrxsVF4Hn9N++UnuYxDaYX3/vjq3PvHprXQ8RX5V1xxhT322GNmZnb99deH9eo9Q+8Hfl26HnQO/TWlIFXHSBMrKsTX+5Z+nxi1H7auZf9e57dHva61DlVMax3aL63DV+37PtV6/rIU5yis93dP6BrRAJvZ2kCdmYX+82rBo2Oj99pl2C8AwOIQXGOp+QBbvwTolwdfWZT2vLRbOanSBgDMg/oaX3311bZnz55Fb85MKaRWkOmDBt0yr5YL+Xw+TGDmH+97YqvS0fMVlWbrKzD1mUBVrpVKJVSGVqvVvokZR90nBZcKWLU/qtpWpaTfFvW7zqJKQh2HRqMRlq3gUVRdXa1WQ4im6sRmsxnCLG1Tt9sNYW3cPiJNHOrHE/EpEFboqgpKtZLwrSviSnUfSvqgV4G06LH/+3//b1tdXbVisWhf+MIX7Oyzzw5hl8JI0eR7g3qiK/TzVcu+h3Jaf+b4+aoW1fWlc5d2XHUMfV9lf+2rSlv7fvLkSbvnnnvs8OHD9ju/8zv2ute9bl2YHIfG+jwaTxTqJzlMC+E12GJmfcGhvqfXpQJa3UGR1v5G1cnx17Rsf67V11mhczwAlPZa1utKz9E1rklJ6/W6vf/977c3velNVq1Wbffu3euqwrXdvrrc9/QWf7eCf01q8MYH1Hr9qff1qP2w/XtjfM40AawfUPOV3rqW4rYsG+m/PWu+NYjeNzUgEt85q/dOhdu6fjTAoNA+vt6FQBsAtg+Ca2wKvlJHAbZuN86abTprOaNUafsPzkwQCQAYx0MPPWR33XWXNZtN++EPf2hf+tKXbPfu3YverJlSFaHvTezbMCjA0c9vfV8BlQJGH56mVY5m9ZtWOFgsFq1er4cwXL1k4/Ajq3WEp/BRwYuvDNXnAP9/v7y0vr5+W9PWr2pm/zlDYbECdN8H3H9G0eckbZOCoGETm/l2Ifr8o5DWfyZSqxU/oZoPruN99UGub62h7fTt4B577DE7evRouAb+9V//1W655Zbwf103cfWy1pF2HrVdWkZc1RvT43yPdG2vr0TPCq21fQr6fSsTvw61kLn33nvtl7/8pXW7Xbv77rvtggsusFqtFh6rcNhXJsfb57dFlfppFaqqRFY47fk7FPQctXbwLXteeuklu/POO63T6dj73/9+u/TSS8My4jYf8TlQhb7aY/i2GPGghJ4XT7zq5XI5O+ecc8J2KmDW/mv5ZhaOadqgg4Jotanxy9drR1XYvsWRr4RO64etx/jXiR+E0Xb4gSl/LNMmltSyfDujZSquiVuD5HK5MCigc+F/JvhBMAXzfkBA5y3t/Gh9AIDtg+Aam44+9Gd9mJzUoCpts/4Pi/owGbce8b9sapkAgO3lkUceCeFiu922559/fssH1+IHmOOBZd06rsBGgYaCUgXfvro5DrXivr+iwFB/tDxVdmv9fltGCa59NakPP+Plef5zQVafZR/2+RYQfiI/PUZV1v6zhtla+wffp9fMQoV5q9UKwXHWtiro17b4gF/BvcJQH1rr8TofWrfCc53/tGBNz9PxrVarIdgrFAq2srLS19ZBfcu1nfEEgGnisCtuUeEfp3X4YNN/9vPXoT8vCvP1NbWcUBirKmGdQ/27Xq/bkSNHwrqTJLFXX33VzjnnnHDs/fr8PhaLxTCRXUyDQ1qXrg+tJ+7NnTYYoeX4142Z2T/8wz/YK6+8YmZm/+///T/77//9v/ddh/G5UAGI79es897pdEKP7bS2I4NCay/ul+5fO9pf3+4k7ZgVi0V78skn7de//rVdfvnlds011/QdB180k9ZGJK6S1l0jamejanhtX7PZDMGu3vc0SOTbf2hCxbRrXL+HTNIXexZ8Rb/ee9S6RufDD4xon/W7nJ+MM55QNu1ngMfvWQCwPRBcY9Pyt/SpX6aqHzYSYMeyKrTNqNIGAKx39dVX2zPPPBPCt/PPP3/RmzQXCtl8X9e0Vg4agFbAptDWt1YwWwsTfauBOAz2E7GpR7ZCt7h9SNy2Yti+aL3aZn3dB3VpP8/1WAX0WXz7Cb/fZmutPhQCxX1u/Xp96w3f8kNhuyrc01qs+UAxrUpc+5vWekTr0ucfMwsBmtpEZAWsfvkXX3yxXX/99fboo4/aBRdcYDfccEPoPZzL5UIFvfiQPF6e/p/WZkNBqd/POKwXVbTqmtF5TJKkr7e3vy7UDifeTk89jd/1rnfZX//1X1uSJLZ792678MILwzWr8NtXW6dNepnG3/mg12B8DWv/VO2bdg2rqlvr8ddmvG5V6acdPwW4Wr9vI6E7A2J+Phtd72l95f2x0P7E+xBfm7HDhw/bHXfcYY1Gwx555BHL5/N24MCBdY/zv3PEfa79hJO+H3an0wmBrr9Dw/d81v+1nFHCZ9/X2rcUSeuLPWu+0lz7rXBeQb6/xvR4BdU+yI9f12ZrA03xa5Q2IQCwvRBcY9PTL8m6jVOVSfOYqCSrStts7YO0/va/nPvnxYE2H8QAYHO77rrrbOfOnXbw4EG78sorw4RTW51vm1GtVsNkewriPP/zTlV1CkD8Y8RPzOdDXgXePgRSpaKqbhVA+6BulIrreBt81WR8e7/vP6xlp7Uk89TuTPN3KNjK5XIh0FHI7yfM88fEV8UqsPKD6jpufh3xZxAFzfoc5XtfZ7U70bHxwaC2wQfxaQMX2gddI2Zm73jHO+xd73pXX8Vsq9WySqUSBh78eVCleXxctU+qXvXHSr2P085pXAWuZcbL0fr85zc9X0G7zp/OvypqfSh97rnn2u23324nT560c889NwSX7XY7hJ3aprgaOm5nksYfk/haVBAcT9Loj5W/Hs3M3v3ud9vdd99tZmZvfvOb14Xr8XI0EKK/PQ14pAX7cfFJVlCvqmf1es/q7e3Pnx7r71x4/vnnw/FuNpt28ODB1ODab4+feyfrzk9dD9oG375Ex1iDSXrfG3VQLW170vpi+4rxaf8+5KvLK5VK33u4ft7FAyNxxbl61OtaSpugVPtAcA0A2xvBNbYM/aLkZ0U366/cmPf2DKrS9sG2/0AbB9pUaQPA5vOa17zGLrjggr5+pZMEE5uNflb58HpYQByHLuJDaU//V8WyDzRU5auqU4Uevt+1gpNh2xUHbj5oV39mXw0u/ue5rwj3y1F4WKvVQvsUVZVqmY1GI4TXCmN9Zau+7kPWrLvOFLL5Kmjf5sJXvyp8FwXbcfjlq7X99vhjN+gYx5Xm/rjpM5JaDvjK1bSQzNM2xdeNH/wQnRv97Z/jK35FvcD1bzMLIXUcuPqBHF95rP1dWVmxlZWVvsEVP3llPCGp+OsvjT+OOna+/Ya2N63/ua8A9tftVVddZZdffnmovk9reRNvg29roxYhZhYqg+NrQ69Z//qMK6n1WtPrWcvx7WPUPkOvGf9cH6J2Op3QW1yvtde97nV9PcSzjrEPhX0bkXw+H46rD861LN8/XoMvGrDYaLgch9j62eNbL00jxNY1ovZBGkjy586/d5mthdZqp+Mr1s0s7H/az0g/CAkA2J74CYAtx1dD6IOyZoRPu012Edvnf/n14iptVU1QpQ0Am0/8S3utVtvS79dx5WUud7rnrq8KjimgUhAVh1m+gtmHWf57MV8RrWUqFNHkbaOch/gx+r8PmdU6wKy/P69/bBxc+9DP94KuVqvreuQqaPdBfNq2q9pTQW8c8igU9f3FFSKZWQjdfG9l0f7V6/W+zx3x+fAV43GrjbTjqPMeV1PrfGl74l7GCrG0v3ElprYnDq59lb7fFh8wp/VKNrO+gL1UKoUqWz0+riz31dJxgJ02GaE/1n7wR58F42VnVZyqWtrsdEW7D2F1B4QGDNKkHSMZNTj058DM+lqrKPCNQ2V9Rlff7Vwu19dCyE9WGW+r7hTw4bVaaTSbzb4BHd1FoHN8xhln2Oc//3l77rnn7Pzzz7e9e/eGUFbHOq2QJB7A0bHxQbFCbA386LjrtazHal3+LoKN8sG62fT6YutnmXpw53K58J7l23/49xYN0ukca1BJ1dh6Tfi7WLy0PtdUXAPA9kJwjS3LVx4owB7U53EZjFulra+lBdqzbpMCABgsriqMW0xsB2p1ocDYBzM+wPTHSrfY+4FbhU4+CFQ4pgDZB6AKV+LBXwXpae1LhtH2qmJSX9N2+M8bqrbM6nGtkK3dbvdVQSpgazabIYzz1Ytxiwwdu06nY7VaLbQVUZgafw7Q+Yh70+r46TirmliVvTpe6qsbB7s6Lr4vuUKteLBdtO3+3ClIU09yXTviq5D1bx+SDqvwTmvX4ivPFXzGLUMUsOvrCh91PNKOc9z+Rec75rdJx0uDIFqWzpfOaVrFcpIkfYNEOv763NtoNPp6h8d07cbHPD5+aUGyH8TwFfT6vK1gUxNWxndT+H70es0o/PS9un3Iq8eoOMUPFmhwI16+jqvfv927d4dJGf3AkwZE4gEH/37iXwe6lrWdqkJWBbQ/5v660T6rfYrC7mn2qN5oX2zfGsQPjGmbfaW1fvfS83yFf3zXi5YxaH4if21N85gAADYPgmtsC/52vna7ndqPbpkNq9L2gTYTRALActAv3ArmFH5s1Vues6rg9HNWoZzf/zj8MVsLL1UlOKi6TsGVAmAFVf5no/+Zl8uttU8Y9HNw0DpVHehDOn+ufUsEhfBxgO3DVj9ZmfZf++XbO+g6Ugin0MlsbSLISqVi1WrVms3muoDIH3OFY5rETxOr+W3wx8K3p/Cfm3xF8MrKSjjmqrCMw2x/ntNaRsTBblqAarbWCzkOg9PCabO1FhPxYzTI4K8PXxXql6tjoePtW6+kHWN9JvOPT9s2PxDj25D414uveld4HQf2Cnj9xKeqrlXLCn9d+SIOXaNabxpdB/HXNNDiQ3+tU3cNKCzXYJI/pvp3q9Xq2+f4mPlQu9vthm3V4IsCUh0r30ZI6+p2u+Ga8ndDlMvlvtdhPEdN2uSY8aCa3t/1tbjC2LdP0fuQ7hioVCrhdxPfY3zUCRvH4Y+vD7Gz+mLr2uj1eqE1iAYWNbiUy+XWtaDR83yFvwZffLsiP1CWtb1xn2sqrgFge9mavzkBGfTh0Pej0wfezRBgp9Ev5PH2p1Vp+6qirCptLRMAsDEKNCqVSghrFNZtxp85TzzxhP30pz+1yy67zN785jev+1kxrILZV3L68FohiK/UNbO+fr++vYbo8aqijrcnbrEgCmayQnFfTZ22PIU6vpeygkR/XnUrfFZY6Qc04pYaCrAU6qgi01cx++/l83m799577fjx4/aOd7zDzj33XGu326F1SNrdXKpAz6oM91WlvvVH3MPXzPo+P+ixquRUgKjv+XOZdY78NsTVz1qfPxZ+mVqvr872wXW8HP2tEC2uBtZzfFjsB0DSBqL8sVNAnDaBoKcQNt5O/3pQ5bevNlelq14LPhRUpbwGMXTt+nYxqoj2vdSz+PBYVN2vQN23b1GYHV9/PjTO5XIhtK3VaiGE9yG3Px5maxN0KhTVa6hWq4UqYB8i6/hq2/17sq801vWjcDZ+v/HL89eyD5fjQTd/bWrATAFvpVKx++67z37yk5/Yrl277BOf+ITt3bs3HDs/aa2KbWYZYsd9sfW6UCsjXdO6BhX0+4DaP0bXpAYmzGxdsJ12Z0gs7nNNcA0A2wvBNbYl9XpUZZQ+IKuyYSugShsAloevblPLkM30nvriiy/aN77xDavX6/bkk09aoVCw66+/ft3jBu2TgtK453XcU9jfiu/5lhI+HPGBTq1WC7e0ix+wFT+RczzBX1pw7Ssm/Xb6kFFBUxzAZx0T3/qk2WzaysrKuv1V5awP5HwPYz3/rrvusoceesi63a4dPHjQ/uRP/iS0ZlC19qA2aQrsfP9wP8mlWgSosj3uvayw0Z9HBeo+wNXrwH/Ph+N6rs61QuQ49I2voTjYjqt5s8JYv36tJ61ntT8uOre+h2/Wsn21etZ26v8+5M1apm+946uHkyTpG6BQqK9ryFe5ahm+2l6Vs4P60ZtZ310AWo+Oi86t/q9A3L/X+X31VMmrZeqY+ddi/BwNHmg9ur712V7XosJ2PV9td3ROFZz6uwp0nr/1rW/Z008/beeee6595jOfWXdd+M/T8Wdq//nZV6MnSRKC9aNHj9qPfvQjazQadvLkSbv77rvtU5/6VHi96pj60N2H2NPkq63NLNzJouOh16yOo86rzpO/u0O9yvWYuK+1HuNfR4Ok9bkGAGwfm6/cB5gifcCt1WqhAqXRaIQPnVuVv42xVCqFW4trtZrVarXwC44PWer1utXrdWs0GuGXWF+dBADo5ys9FZTql/a0XrfL7PDhwyE4aTabdvDgwXWPyaqC819T5Z4qPhWKqJLOV6b6ny1xm4L4e75Fh6o/vXq93hd++qrJQZPlma21F1Alpg+odI4VSFUqlXDbezz5XCyuso7bYviKaLVG8LfU+2rn5557rq8K9+jRoyG0U4Dtg0C/r2rl4JfdbDbDORI9v16v9wWB2oZSqRSWoc8UOh46f3F1q0LiOLzybR7S7oqLBwX8fmkAwe+j//6goEzBXDx44au3fYit7w2qpo6rzP2+xAM0GjDQ47KKBuLrLr6Lwwekvn2Df76frDNtEtE0aRNt6rXWaDT6qsb9pIiiYNifj7TzG7euiavdzSyE1tpPbYevijZbC1F9RbqvGtccOOq/rdfdb37zG3vsscfs1KlTdvDgQXvggQfWHQ//ebpcLlulUgmfpeMJCnWd+CrnOIxvNBp255132p//+Z/bU089FXrd63zp9aXP5fFAwjRoYEktkbQ/6tuu86BBNN8uRF/3fa+1PN9bXYOOWf3WY35wS8/fTAO/AICNIbgGbO2Dd7VaDR/i9QF8O4Wy+gVJv+TEH8IrlUrfLa+6DVmhtibf8pPvAMB2pl+4/QRYClqGtUlYJpdddpmtrKyEwd5rrrmmL+ga5/1e4bXvHeuDzazjolvmzfpvzffVuz68joONRqNhzWazb1vVaiPuF+wrSRXs+iBRPwPTqoEVmvnBiayw1FeXx32VzdbCa22j3zb9DDYzu+GGG6xarVqpVLIdO3bYrl27ws9lVeMqdFYlZbPZDC1W/LJEP8v9PujzQbVaXRfu6pzEwWFWCwpfpRn3us7lcnb06FH78Y9/bE899VTfunxlb5q0cNXz+6SQTcdex1fBpv7v28T4AQJflR7vm9ajNhxpfDDt3yvi3uxptHwNBqiwIA71BrVi0F0E+uw2SNxyxm+vQnBf6ayBE0kLWbP2Md6WeKAqntwvvpsgXo9eAzq3cf/ycrkcwlkdTx/SKnwdVfxZWn3rVRyiY7dnzx57zWteY9Vq1Xbu3GmFQsEeeeQR+81vfmN/93d/F46ZelAryNY5VujeaDT6tndSer9LkqSvCt5s7Y4Avc/4/vIKsDVApqp23U3iK7n1+HGqxnU8Ca4BYHuiVQjg6BciP5GjPlwNusV2O0j7ZVT8Lb4KIvRh2z/P/z3sFzIA2AriW9LVE9e3DNkM/a537txp/+W//Bf7zW9+Y7t377azzjorBEC+UnfU93VfvWy21ifXzPpCQ1Fg6Ctga7VaqKRWOKLJLxVGxVXM3W7X6vV6X9sEPU63sftwRKG17+2rUMvsdAATT8gYT/CW9vNOwZX6tipIazabVqvV1lWpayI3s9PVzD6k6vV6du2119o555xjJ0+etIsvvjiEbzo2noJUBa86XnGop8p4v63VarWvh7E/Nzq+acGxQs24DUZcOa3lHT9+3L761a/aqVOnrFKp2Pve9z47cOBA2N64t3W8Pg1I6Dz6bfQtMRSI+T7l8XL9v5vNpn33u9+1kydP2tvf/nY777zzwvb4fY+r+9OW5wdB/L7ra4PeF3wFuI6J+l+rL7z2Nes1qQpg9VOP+den/h8Hvj5gj/tva91qM6HrzW+/luNpYM/zgwNx6xFVBktcOKFjqWvZry9+/9V7SKFQsMsuu8zOO+88e/nll21lZcVuuOGGDQemOl8aLMrlcvahD30oHJv/+T//Z9/7z6uvvmpnn3123zGOA3rtr35n0Xr0Hjvq5279TIrbCul9UK8rnVPfI11tlzSQoYELbY+/A0Z3udRqtbGOXdznGgCwffDOD6TQB0v9MqOKBrXWIHDtp+MV81U3/oO1vpYWaE974hkAWCQfTMUBgsKUQeHSMtmxY4cdOHAgVO6arQXBcWuOmMJAv5/+3z6o89Wq4lt06N8K3RRy+TBZFcZxCOl7jZtZCKbVPqBcLvdVyiq01nb5FiOqPtRj/aC33y9fHS6qRtW2+//7vtv6een553j79u2zffv2he/5oEn77Oe08N/32+XPVaVS6eurrWPgg2Nfaav2EDFNtOdbs/j1+IrKXq9nL774Ylhns9m0Rx991A4cONBXbZ1VdV0ul9dVd/vrKf6ewnT/tz+HPsD9x3/8R3v88cet1+vZoUOH7D//5/8czpUGpeLqcl0D+pq2Ow6mfYWyrq+samQdNw16qHpV1fk6xj4s9utR0KgAdRi9XynwTwtDtc1xKwkfjpdKpb5Bg7QgOK2yOT4f/ljE7WfigRozCxXPuVyuL9iP110sFkMFcz6ft8985jN9n001yeW479fxXRz+7ga18un1enbjjTfa9773PTMzO/vss+3MM88M+6zj5ecE8IMg/rioVYsfPEsrJtEfrd9P7umPZxxa+wE9rd+/9v3Amn8/UOX6JL9L+T7XVFwDwPZCcA0MoQBbv2wpwJ7FxChbjf+FZtAEkfEHbLP+CSKp0gawWfnqXLO1ykFV+SoEHBb8LhMFmj4g8sHmKO/Tev9PmxBQP3P1M0A/G3Ts9HOi3W6HYLXX64UKYYWqWp6v3lTv1WKxGG6JV0ilUEXLT+sN7Nt5+ADLb6sPLRWs+e+LD/h8NasGA3ScYr4nuO8THrdZUVDofw770EwDEL7CUsGtjqlaYfgQ2Qfu/ue0n8Aylsvl1rXUiAcV/Lk+55xzQpV7uVy21772tWGb04JJv6y49Ut8HOMWN3GAqv32AaEcOXKkryJW/X117fjz4aW1gIkHVnx4rv/rWKrP8t69e23Hjh1mZuEOQX+Hm69W1vFTD2Zth2+Jkta6Q1+Lq63jx/m/433U9ZDL5cIdAqVSKbPyXPzrR4MZPqiP+3hrcEnH3vfBju920HutX3b8XhVXwes9QHdSqKXOpJPr+kkWzayvYjlJErv22mvt4osvtlOnTtlFF10UBtT0nhYX0PhrxV+v2oe0QR6/f/H1rZYxvt2R3gN0TPUe4Af09DX9HNMAgAYs6vV6+CyvgHxccXDP7wMAsH0QXAMj0q26+gWu0WiED3ME2OPzVR8eVdoAthL9sp0WvOiXerVuGDRp3LKJA03tZ71eH6n9iYIaBYQKklXxp7YLPkjyVZVmay0BfKuGarUaJlpT2B2H7L4tiLZbQZsP3+LKw0FzN/iKSN+mwveBjZ8b99XW8fATySnM9S1IFDyrfYh+/qVVGftBEQVMmrxSy1WLAV9xrN7POgb+GPrgV+dExy8tDBRfoa1QMw6u9f8zzzzTPv3pT9svf/lLO++88+zKK68M587M+q69uIe2DzAHSQtudZ7Vgz2e0PKtb32rffe737UkSezMM88MbRx0jBqNxro2C3Flur4eH0uztQkwdc3ncjk7fvy4/Z//83/CJIqf+MQnbP/+/X2DBnp96PjovKmNjb6usDs+/lqOticeZIlbvPhzJn5ffGDt+6z7djvav3j/tb60Xvc6Ln4CTn/t+vOodWiQ0E/KqOs8Fp9vH9jq/2anX4N6fY4qntdA56LRaPStc9++fX0DR6rIVqjsWxhq/Wmfp0XHSwNLvh1O2vWvbdW/4/dF/36jKnT9PNAyFGSrjZSv8tfx85O1jvIZXoMNm2luCADAdBBcA2PS7XL+lwFVEhGgbtyoVdr6EKz/m1lmoM05AbAoPhzVvxW6+aBLweRmer9ST1uz/oCu0Wis65PqaUDSh00KMRReK+T49re/bSdPnrR3vvOdtn///r7wz2ytnYcPdHxva63H913VelTBmMvl+no5i4LYuMrXB+XaHx+Wxq0OfDuDOHRRmKft8uGMrhFVHccBqSZJ0/riY6P9V2gaB0xqdaIqUO279tVX5saTLcaVrbqzIOvOAVUk+wnW0oJrf+z37Nlj73jHO/qWo3MWV5YraPaBZSyrN3ZccR1/fvDX9hve8Abbt2+fra6uhvDYb78/B/6aM1sLkf1j0wZLfLjd7XbtySeftEajEa6JX/7yl3bRRRf1fVaKA3F/LHTOfdjrj5Fv0eK3I664TqtU13GJW3mootb3Zvf7qvdAfx58pbyvtvbr1OtOx1aTpura9sGsH9zQ9e/Pdxz0xhNUKsz3x0stRxTIjxJe+8+pov3zbUvM1vp3x5Xmej/1E6DrThEF4Fk/O7QfqnjXoJSOQVzB7QdT9bU44I4nr9c2+bsm9N7prxMdP4Xp/r1PQfygn4Hxew8AYHsguAYm5D9I+l6Bwz5AYnKDqrTN1n5R0wdiX+UYB9q+SgUAZimuGPa39yu4VL/ruOfwMsvlcmGCRDPr2x8FLAp2fFjoWwH4qkuFGgqV//7v/96eeeYZS5LE/u7v/s6+9KUv2c6dO8Ox8stSYKggWwFHrVbrmzBOz/GhYrFY7Juwzz8uDpbMrK/S0/9c0b74ns/6+ePDmngdPuzURHOqjlQg5wdydQeYqqf9+YjDawWOCs/TguVut2t/93d/Z0eOHLFrr73W3vOe94QetRpY0eeaOITTdvqA/y/+4i/s6NGj9sY3vtHe85739B2ruMexX9Yo173Wr+OqMM9XzWtf42OtY+PbJKQt3/ftTWs1s3fv3szt89eyr2qOW87414J/bfi7DfT6Oe+880LwXC6Xbf/+/X3LitsR+c88viWDjk/aOfTV0GnHxofKvo1KLpfre934tiRaTlxtrWX48NOHxmkDMOI/d/v1q7JXdxjoetM++0EDH6iK7+Pu98X/2/cL1+toWHgdD3r5ADdueeM/38YV+/pa2kSxcRX2sNeR72+vuwp0XLQ837/azNZNxKu7OfS6iwfvdGzS9lvvv6VSqe99Ue85er9L+11K181m+RkJAJgOgmtgg3xYrV+YVHVEgD0fWRXaZuurtH0/bTOqtAHMnm+BYGZ9gZsPPeLWDuN4/PHH7YknnrCrr77aLrnkkqlt+zC5XH+/63a7HXpN++prUXWmqv8U6Ov4KCxptVr2yiuvhK8rANq1a9e6IFyhjQJa3QGl93mFMD5g088GhdqDWkvELRV8X20Fgz5kjlt++LA1ph7JqiRVywvft1dhkefbzEi9Xrcf/vCH1mq17K1vfavVarW+6kQNssctzr773e/aM888Y71ez37yk5/Y5Zdfbpdeemnf/sShvuhzjrbjnnvuseeee86SJLEHH3zQDhw4YOeee25o46Iw+MEHH7Qf//jHtnfvXvuP//E/rpsQMev461j79g++x7M/rjFfPZ7W+sCHx/44x9WlacsUhWrxRIxxexR9Pd43v0xdN2eeeaZ9+MMftocfftguu+wyO3DgQAgJfeW/rvlKpZI6SJJ1fH3Ir1A6bQJL/7nJ92NX1b9vWeLXqbBZr5m4ir3ZbK7rCx8fG4XR/q4G317IzMKAl/8s5ycFFR/Aan1xixJ/DuN9FlUqZ4XXek/Q9eEHt9KCeX8d+Tsv4uXqPUhhr6/eHzQPj3+P0gCpKp31XujvPNE58m2YtI06nrVare9rer/3ldc+0I7vMPD7rf1QVbiuKd9SpNfr2U9/+lNrNpv2u7/7u6F9EgBgayO4BqbEB9j6ZXKcCgjMRlaVtll/z1J9sPa/AGcF2pxLAOOIK0vN1iav6vV6oQpVYaV+SR/VE088Yd/4xjes0WjYL37xC/v85z9v559//rR3I5MPFdQSolKphCpKBX++R7QPKuPwTqHsjTfeaP/8z/9sZmbnnnuu7dixo68NiZ7f6XT6Jhf0fZ/17/j4+/XpPV8BvK+yLRQKYV8UgOkxcfip5Shs8mGXqhj9edU2+Vvs9VhfKet7cnu+ijSXy9nXv/51O3TokJmZHTx40P7oj/4ofM/MQiW3r6Ludrt28uTJvipk3xNZbThU8eurZrV/atOh4MwPNpw6dWpdG5yjR4/a/fffb41Gw1599VX79re/bR/4wAfWBchp50rXh2+tYrbWEkbbFQePZtZXpeq/p5DOH0u/j4Oowt9srX1CXF2sZeo8+2tC15rOhW914bf5sssus8svv7yvwlzXvW9p43tee75NiPZL+x0fp/j4xCGoX44CVD3Ot5jQNVEul/uqvBX2xndgmFlfWBu/R8T7oWtP4beCT18ZrWMR99bWNvrQWuG47qjU613HNG2ARANt6nmt9Xa73b72JToeZumV/mp3FJ+HrIFM/zuHAmf1ru90On1tRPwxiCuptSydK4XOmozeD4Zov/We7l/Tet/3EzT6Y+F79OtY+J8JadehHucH6O6880578sknrdvt2qOPPmr/7b/9Nz6TA8A2QHANTJkqGHyArQoI30cOi6dzFdOHaP+hmgkiAUwqrVrPt3Xw8yaUSqXMoDLLU089FSpi6/W6HTx40M4555y53kHigzCFJKpCVDDkQyHfJiSuSDc7HSK94Q1vsIsvvtgajYadd955fcFJ/Pi0amqFLqouVPVgXHmaJEkIihUIKghU0Ov75mpf9LdCc/3x1aRma7e3+xAprtJV1aqeo8nNtK9pAVbcg/jFF18M/3/11Vf7tkPXoAJBhU+5XM5uvvlme/bZZ0MbjCuuuCKEgb4lRPzz0le/ap/e/e532/PPP2/tdtvOP/98u+CCC8xsraVIt9sN26ZlnDp1yiqVSgjKsqqbJWsyU1/FnBaC6RjEAwVx25nYoAnh9PpVcKftj8PjtKp7XZudTqdv29IGWvR4X+Hs715Qn2eF6P76i9tV+P1RD3V/PuL3i7gVSXz3iO9zH1db67Xhn5/W71nP9xXWcesSX92fy+XCgIn2W4N+upNFy47vmPAVwL4/vH+8PsPr/MZVyJ6eq8prXQtahu+574+pjrXvwe9pMsm0dfpj59uH+J8nqsjWcn2w7ilk99/XNaKKcb0f6fjHP58UusfvUf4a9Y9P2w7/nDjY1t/PPfdcWNepU6f6Bo4AAFsXwTUwQ7qdTx9+6/V66DE5TjUd5ssHPWm/GKe1HaFKG0CWtApIMwvtK3zfVj1+nF/IDxw4YD/72c/ChH379+9fFyYpHJnlIJtCI4ULr33ta0N4rWDZB8O+TYjvmeoDrLPOOqtvHb5iMj6mvmWJ2fqJD82yWz/456kvto6Xr4T0g9ONRiMEwHFfX7+9CiXjalRfpa5z4gMyLVNhe1yJr+2qVqt25MiR1Cpy8ZW8uhNM1atnnnmmfelLXwqDDb1eL0xy2Wq1QqgVH28dJ398du/ebV/60pfWBe0+uLzwwgttz549dvTo0RB2a/+yAuKY7lTQfvqJ+LKuD98Gwx+bYUF52sCTX76CSjMLAWKpVFrXWkOVwL5fcnwHgh8sj/lg0bd08K/ptNe2v7b960fXkq4139rG833BzazvWCvY1LH1Vbbq366BH+2njpEP1v22qWra759vW6HjrNBaYbE/nmnn11dj+/WrMll3ZyigVSsSX7AQt0IRH17r/6o2j0NrX1WeJEm4jmN+nYOCXu2Dn9RW+6Tv+fDZV9Cr4jwOteMKbRXixK1w/Htb2mCrb0EzqniQTOvudrt28cUX2+OPP269Xs927tw5UVstAMDmQ3ANzEE+nw8VEO122xqNRvjwPs6HOSweVdoAJhWHib76VRNVKXxuNpvrAtEsF110kX3hC1+wZ555xvbv3x/CXh9a6z0prvKbVlW2gqPvf//79otf/MKSJLH9+/fbpz/96XU9qXu9Xpj0MO5/6gcAs6pm/QSOvjpVX/OBmCo3Va2pCsU4TJL4WCjo1nL9hIxapsJthfJxhWe8HG2vAiGztepU305F26/n+Up8VYPrOQqaNUBw7rnnpu6fAi0fQuk60a38Ol4+YFTrgbilid8+P3FaWqDkA7tbb73Vjh8/bisrK1atVkPVsT92sbgFhw/0FEbqHKYNFKX1TtZyFVqmVbemvTZ8NbsmrlOgF08uqO3xAay2OW4fceLECfv2t79t9Xrd3v3ud9tll10WrtU4MNVx9tWwOibatjh09pMiqkWR356sSRFF26Dn+HBegWncs9rvp28nEu+7D5jj1km+Gt2/3hS4qv2Nrq94++Ll+gliVXUeh+9+kMnfSZlGr0d/3LVcf+w0QOGrsX3FecxP1jmMwnZN/Kj2KWpRpO3S+6SOY7Va7bu2VKGvkFsUxOs613uC9iO+PvV+OcmEwzqevmLczOyWW26xRx991Nrttt1www18hgaAbYLgGpgj/cKsX/RUMaMKbD6AbV7DqrR9oK2qJv8LX1alNoDNb1DlnMIjVcEp2FG46isjB9m3b5+dffbZfQGK2Vr1tp+QS2GxDwZ8kD3JzyMFQY8++mgI2g4dOtQ3wZ+2x1dTmq31d/V9nc2sL/QRhaUK9+Nlec1m01ZWVvoCRbP1rQrM+iudtf2q8IwDK4VfCtc1GbPCYJ0Ds7U+1NpHBYP+GPtK0zgkr1aroZJct+n74E2V6rVazd797nfb/fffb7VazT70oQ9lnqd6vR6CZm1/XOGr9WjbfP9f/xhRKDaIAjhdn2eccUb4ug8ys86nwnStx/c/9tsVV6/74FP8cuLq0Ti89vuVJIl961vfsieffNLK5bJ96lOfsrPOOquvOt/3K/Z3UviWMdo+7YOu9X/4h3+w5557zszM/v7v/97+9E//dN1x0HN0fjSo4a9Hbat/DVWr1TCwoepchb8KbtPELWl80KzzpvUooO92u2HiPn+efED88ssv25lnntn3/qbn+v7ler/SOdNj/LwyvpLa74e/RnXd+WOiamddg3FLC61T749plfCq/PYDkWa2bnBMgwz+ukz7vBi31MgaZEvjiyZ0HaqViu749G1F/HHRduk9219HWoauXb0WtT8avNE+6byntfQZtv26wyR+H8jlclar1eyaa64JA3UAgO2B4BpYAIXV+oXGTwzjP6xja/AVhJ6vPoxD7bj1iA+1tUwshyRJbHV11arVKndQIFNWGOdbSWguBIVLqhb2E2MNW4e/PV2BnUIq3e2jSbzM+gfWFEApkNKftJ9Ler/SH7PTAcgZZ5xhq6urliRJqOTz7RAqlUrfwG0cro1ClcdxX2iztYpO0T77yk2F33pcHKb745EkidVqtVB1rGOh6lJfWar36bg3dTxIqaBIYZuWoe1R+OUDOW2jgjvfFkOuvfZau/baa0c6hj5cTwucfVgXV4F7caiZNijgK6WzWoH4CuZBVdc+GFRQHFdYx89Nq+5NC+DL5bLV6/XQfsK3sdE2HT582J588klrNBrWaDTs3nvvtU9+8pN9bVh0jhT4x2H4b37zG/vFL35h+/fvt6uvvjp8Jmy1Wnb8+PG+/VhdXQ2tMHS8/XXr90X7mHYOVNXuP1Oop7ivEvayzoP2Jz7WKs7wva398VWV99GjR+0v/uIvQruHz372s6FPuB6v7fX7o7BXPZP9IJECVb3/6fF+UCJuEeSrz31A7Wl9PqT351KhtSYM1fttWk9xfU3vPf6uhKz3d7+eYQOYfgBBd2Zo3Xq/0vXY6/XCxJa+laH2zf980MBqfPeP3sc04KiBOf9e6ydkzKLXWKfTCeF3/HOj1+uFdkUUdgDA9kNwDSyQv61Pv4zoA7//0I+tyVdoU6W9OfV6PfvKV75iL774ouXzebvtttvsnHPOWfRmYQllhXpmawG1QlEfWKsqepTqMl/V7fu5KoiL21X5u33iW8UVmiqIMOufRE3iavI//MM/tO9///vWbrftbW97W+Z2xvvfbrdDb+BBwaXZ2iR1Cjd8UOSrgv17qNnpENuHX1qPgv4kSez48eP2ve99z3bs2GHveMc7rFwu91XKt9ttq9Vqfa0p4okXfSCl6kZVZPpwUUGfbzGgAEzBjyaaUzsLtWTwhh2vQd+vVqt94X+327V77rnHDh06ZG984xvt+uuvD/uYZpSe1KqUVHuYNH77sl4n/jqNBxvSJv/zVf5xxX9WWG+21lJCrz/fwiX+WZ3WSkE/r/226lwePXrUvvGNb1i9Xrdf/epX1u127Q1veEM4pzfddJN9//vft1wuZxdffHHfXQi+8tVfAwr7VAEbtwfRe4f2z1eE+3/rGMfhvj83/rHq461Q2MzCXRAKLOMq91wuZ/fdd5+dOnUqLO/ZZ5+1yy+/vO+4+iBdr08/oaT/3Kzjrm3RdusY+Wp47Zc+Z+s9QaF6/BkqHlj0gyt6b1TorsfEFdJ+mapuT1uXX7b/mtY/KLhWMK6iGH/XgX7P0Hu/tkPLU2Ctc+fXF/fL9uuL+1prQFRhvtnaJLNxf35/jnVe9FnYv7erwEfb66v3AQDbB8E1sARUFeGrwer1+roPoNg+sqq0zdZPEKlf3uIq7TjQ5jqanK8u0x8zs4MHD9rzzz8ffhm899577dOf/vTCthPLK64K9Xwlrn7JV/VZpVKxRqMxUp9THzT529IV7JbL5b52VXGA7ZejdflrPi389EGLQob3ve99qX2kFej5oFcDtmanQy7fhiPeN7/+ZrMZWhHkcrm+Ngh6nKooFTz69hqqYm80GmFgYHV11b761a/ayZMnLZ/P29GjR+3WW28N4Y3eUzUQUKlUrF6vW6vVsl6vZ8ePH7d2u2379u1btw1xtaa/s8Zvs45TtVoN1ey6FrTtns7lIH7ZcVuQeHn/9m//Zr/85S+t2+3av/zLv9j5559v5513Xt85iM+FzmVW5bzW5/vvjivtOPn/+zYkac/1x9zvi+cDNLXfMFsL983M9u7da2984xvtoYcesh07dtgHP/jB8HydC99yRG1Z5KWXXuprD3Lw4EG77rrrwvdf//rX2yWXXGKtVsvOP//8vnOlEDBu5aP2JHErFbO1Y67XhkJstXFQ8OsHn+JKZy+uJtZ7lgaQdJy03f58aLm7du3q6928srLSV9Hsw9/4PPlJBP3dKdoXvW/4amuFtlqeD2L99ZM1OKj3NR17/7rU6zS+E0Lr8u+DGtRIC4IH8fMgxDRoo58Vo/yM0B0jumbMLFSeV6vVMLDjB9f89aa7ZHz4HW+TmYWKbt8PW7/T6Jjp54/WGc9F0Gq1+npwa5sAANsLwTWwZPwEMO122+r1+rpZwLG9+VDJ8+GS72Hr+4b68GW7VmlnhdDD/m+29kufjpmvhlNVIZAmqz+q2VpVnEJW/dL+7//+7/aDH/zAVlZW7OMf/7jt27dv4Os1rn72kz2qJ7Sq2DQw6gNsVd7Ft9TrFnMfsKvVh69m9f1bFYIoWBJV3Sog8RXmPjD0fYCz2kdoYjmFXXEoG7cq0L5oHfqZqlBKfVrNLPTg1c9fhcfaBgVJei/+1re+Zb/61a/MzOxtb3ubvfnNbw7vvTquOh4+EIwnc1Sw5SvCfYWmDyW13EHV1qIQKL4G47D52LFjfcfgxIkTIbhOaw+hxw1qdaAqTp3nQXcfZIlbJvigU3w/6Zhv66IAze+7BngajUYYmFC4GvfHfvvb325vf/vbzcz6wnL93I2XqZAuSRK74IILQsuDcrmc2tpl9+7dZrbWGsMPeCgkFn8Xlj9O4p/vq7L13DjAzaq+Fn98dS356lo9r9vt2urqqv3t3/6tnTx50l7/+teHY3bTTTfZyZMn7fnnn7c3velNdvHFF4fBH22Dr7zVNvnXm/bZVxb78Nlf53GPcgWxvt922rHzx9C3UNLydL2cOnXKduzYse6arlQq6waJ1I8+TdadEX79cYDsB1eytl/vIXoPMrO+9iEK9hUQ+0G2fD7fN8Cp9860OwX9uvxgqB9Q8Xfv6GedBhx8CxWdHx+O+7tnttvnVgDY7giugSWVz+fDLzeDKuMA8YFqWusRX6XtJ2XbzFXaccjs/z1qCO3/7avc42OQdiwuuOACu/HGG+2nP/2p7dmzx975zneu6+8JmPVP/pd2bSg8UBVio9Gw++67z+r1up04ccL+8R//0T772c8O7Xftg+t8Ph8q/vwkfwrN/HN8r2qFyfHt3Qo7FP4oaFZlqfZDk2sNC1R9pbYqr9UH2wcc8es2fl0rMIr7W/tKZ7O1ilgNOPk5Jlqtlq2srNjevXvt8OHDlsvl7Prrrw+ViT4UV0Cp94tWq2W//vWvQ0j/r//6r/amN72p7/j6uSx8a444aPfvU2nr9C0yskLarMAxrsZNc+ONN9ozzzxjSZLYysqKXXLJJanL98c6Dmw932ZB2zGoKnRYqK3na5DHh8+D9s1XQSuc8+I7B3Qu42sqbXvibfNVtfEgxI4dO+y2226zgwcP2t69e23fvn2Zy477GvvJVf0+63Won+vxMvQ13YXhX+c6ZvFAQFaIGgfb/thpW1UJfe+999qLL75oZmY/+9nP7HWve52df/75ZmZ2yy23hGXE59sPMvjjG1cc+9eKP7cafEujUFSfrX0Feda1qWIBtbVIktN975999ln7+te/bkmS2Pnnn2+///u/3zeorcEuHUu9H40rHpDUtip4T2s74o+R3m/8zw5V4rdarb5BQzMLP4cUhmvbfaV9VsW4BuK0nb53tQZkFf77XvWqHFeVth88Eu0/VdcAsP0QXANLTsGDv7U7rn4Dhhm1Slu/PPiALauf9rTF1XyjBNC++iYthE77o8dMY3tbrZbdfPPN9q53vSt8zQeDvD4huv6ygmtfda0qNx8cKUjLumVcfOhjtlaFqko2BXG+37DW7e/28SGJ/9qgSYRVWdftdq1Wq1m73e4LxjxN+OW3QROHKcD2vXr9cYtDNR0Tfwz1HP84bZuCVB9K6nGf+tSn7Nlnn7VqtWr79u1b12NcA8rNZtNarVaogPWBlFofaNsUzMSPi0PaOKDX+dA2+yA7Pp5ZQaOkhdw6Hv55e/futf/0n/6TnThxws4666x1Pze0zYPC3LT16ueKqsSzZIXWvV7P6vW6JcnpNjhJkqzbp0GBd9wKx9Ox0/LUukCV0uPw+xcvV3bu3GnXXHPNuufG5zDu1e232y/bX5N+f/XzXI/3dz/4ylrfd33YNvkWH7p7Q8F8HDbH14hvQ6JtiPuNK6z0LYTEh/TaXr3mfTuftMEgrd8PGPl5ABTiZlUuawDCT3b4ne98x1ZXV83M7NChQ3b48GHbt29fuD4V4qoyW9viq4oHHev42PkKdL0nDWo5os8j2oZ4ffrcp/ddFcjomvLvt74KWlXX8Xw82jdfdKP3Wj/ZqX4u6OeYv0YVaKe1PfEtbQAA2wvBNbBJ6IOjv93Ohw0EZJjEsCptH2jrdmn9YpUVaPtfYiYNof22+WXG61hkVbjv2yr6BbHVaoXJvbhDAqJKv6xrwk+gtbKyYtdee609/PDDls/n7f3vf39f1W1W1apvSaLXrf72k5Pp+3FA4G/rPnXqlD355JOWy+XswIEDmaGOr2hWwKzgRhV2aRPzaXsU0vsQJQ6tfEVo2jaoQi/mwyBNXuYrDBUQ+/64cZWxAih/jNR6Rd/75Cc/ad/5znesXC7bBz7wgfBYXxHs1+GPWxqFRD7IGjUsHlbpbra+17Wn/t1Zy67VauuC0lG2yVcej8s/T4MecSAcD9rE34u3R19X6Kpz5e8+iNedxrcLUSW49nWckC1tMEKvCX+HlPhl+1A67dzGy/Y/27V/ftDH74N/vq941T7HA0Ty7ne/244cOWKtVssuvfRSO/vss/u+rwrweJ/9vvnAVufHt+/xA1BxWO+327eH0WcZBcp6X9N7ZDwwqKDYL6/b7drOnTv7ro1arRauJ22rQlz9W6Gv7uRIG4xIo/3XefN9n9P40DptEF3f922jFChn9a1WKB23M1TVt86BP09at56vAQP1BlcA7wcEzPoHuvw1ofXwOw8AbC+5ZJJPjwAWzgcRqkAiwMas+HBZv+zG/86SVfGc9bXNQL9gZQV5Cu38L3qABhzTbnmPb51WcKiJAmOamDBeju8/7V+XCn399aggIb5GFTJ87Wtfs0OHDlkul7PLL7/cPvnJT6Zui9oPrKyshCo7VVcqrEmroJQ4HBulqi6eiM8HkPHj/CRu5XK5L/BSv1YfMKsfdBqFtr4VyrgfpeNz49eXdt6GvceOQ8GP7y+btV2jLGfcx47zPK9cLvdVL6dNUjkoiC8UCqFiW4ONquBVeBtfO5OG7OplrjYUoywna2JJs9PXnB8I9ZN1mqVX0w/aD4WeSbLW4keDz74PuAJqPTeukB2Frt240l53Diq49oNe+Xx+XaCt95a4R7pex6po1vtOkiR29OhRq1artrKyEo6d9ld3UGiCRbO1yWErlUr4fBPfkeDV63X75je/aceOHbPf/d3ftde//vV9r2WtUwNzKysr4ZikhcpZPx/MTp9jvVcNu5tLy9cxzgqtdUen3/dyuRyqpRVom9m6x/tl+TtrtP2+jZQCar+/6mmuY6SBMD1Xv9+kVcQ3Go3Un38AgK2Limtgk0q7tVu/jNJfF4MMqnjO+prEgXNaP+x4OfoF0Cy7YnozXa9JkqRWS3n65U2/gOsXwM20n5i+uALTD3Cot3MulwsBmw8B4grOer0erkFViMav1fjngX5O6HXor1FVvWl78vm8HT58OIRUBw8e7AuH/ECp+pdqnxSI+tfIoGtfgZlCmaxqXh+ixdW1WdW2mrBNgZLae+iYa5s9VXOmhef1er3vvIxbeRxPqJhWVeulbUNai5GjR4/aysqK1Wq1kQYS01pgDKpY9gYF7Wni9hCT0M8R3REQt9JJC1O1bXqe/u8DcP+YmK5ztckZxB+HOIgcdnzUsiJtmbo+9F7hB4yzluXfC/L5vFWr1b7PiH6yO63HB+daZ7ztvpI4bb+zjkvWaz+rtUnaZw7tmyqW/YCOrzbXtXbnnXfas88+a0mS2Lvf/W57y1ve0rcs/7NZAbWOh59kUoUh8QSdZqcHFD71qU/1PU7XoX8/1bL8PunOLP9ZIutY+sB+WIGKjkdW72t9fvEBud7DfOsRVaf7CmwfqPvimXiCUJ1D3f2TJElfVbUCeN9D27ce0frVhslXvKcdTwDA1kdwDWxyPkTwt+7p9j8+3G1to4TQaf83S5980IfR/mv690a3008Q6asW43Uv6wSR+qVPr7lhfEsB+l7DTxCnKjVdIz7QU+DhgwK1uPDhiA+RdCu8b3sRV+4p1PLLVmCusEZBVz6ft127doWwWv2OfXW4D1oUPsThjl7fkhbOqBWA78Wtx/mQdlBQGU8a5/tXa5lxT13tQxzSxeuNaZ90HqVQKNjJkyftscces127dtlll10W3sN0/tKqeuNWJLG4GrfX6/WF61//+tft5ZdfNjOzj3/847Z///7MZSm0MlsL6GWU0FqBoQ+Bs+gx/lyME/J7vjWTrm9VzGcFfvqaKuzjr+vfgyaWHLWnrl+m75WdVbnvxQNafpn6mWO2vud1zL9v+L7BZtZ3zevn1zjtUMxs3b7Ex8Zf6/F5ThuQ0Trj16C/LuM5NfR+qfleyuVymExQ61hdXbVnn302VFc/8MAD9ju/8zvhePq2G3o9KBSOJ/z0xy6L9lvb4ENXBdPx+5Wqj1utVmabIz1frUEUsGf1tVYArc//afSZS4OkaaGxjnulUulrH6Ljp/d/vQb1NS3TT+Kr/VSIHffmVtCetc26nvx7s5mF33PiCYQBAFsTwTWwheiDpn4x1wc7X2GD5ZVW5TyoCnrUEDrr+/Ok9Q2aINKH2r66aVgv7XnSdunW4lEoCPS/oBJeb1+aZE59PtPem9XaQkGxD2WyKkv9daWQIe1x5XI5hD6+r2jaYNUf/dEf2f3332+9Xs9uvPHGMEFgpVLpq4LTdmoAVYFF3KNZ25YWkKp3t8IXPc9XyqZVgabxFbVma5M3+kBNVeFxBbSZhepG7/jx43bs2DE777zzrFwupwawzWbT/vIv/9KOHz9upVLJ3vKWt9hNN90UBhO0/3HYZzY45EzbXy3jyJEj9tJLL4Wq03/+53+2z372swOPkc6TArlBbSrSaF/0eSOr3cigazZLq9Wyu+++244dO2Zvf/vbQ79xH7Jpm3UN3nffffbSSy/ZTTfdZBdffPG6ZcaDA/46ypq0slAohMrQUfj99q+nUQw6PnElroK6tDA1l8uFSVE9VWorHNXPId0pkXWtxF+P27HEYXs84anfrrT3AV/xrW2MK9f1vhIvT9v38MMP26uvvmrXXHNN2L84AN21a1doZ6Tt1uBWXODh32v1fpl2J4T4ySq1XK1fd3dkfV6Jw2vfTkXvg/r8oGX4QNgbNbTudrvrKp0V2KfRe75aiWiffbsZtRjROvzdn3GI7dtSjbJ+vx3+DiO1fPKDWLRLBICti+Aa2IJUhaJfMvxtgwTY8zEshI7/nxZC+38vUwg9bfH+eXGgvcgq7V6vN7Cv9SD6BbXT6YRf8uh7vX3oulVwMmhiLQ3cmPVPuKa7a7rd7rp+rUmShNYhGqhMC8NefvllKxQKtnPnzr6QVG0vzKxvgKVWq9n73ve+cKu6mYW2CWrpofAvfo/y4YiZhWpsPWZQeO35Ksx40ry4Ytg/Jw7VWq1WXz9VHcu43Ug8UJDL5ezZZ5+1O+64Iwxa/dEf/dG6Xq9mp8NtX8n5q1/9ym666aZQ5eoHvnQ9aP2DKnPTqnH1tR07dvT9LDjjjDOGBvs+aDMbr0e335ZCoWDHjx+3F1980fbu3WsrKyt91eqjDDLEvv3tb9tjjz1mSZLYN7/5Tbv99tttZWUlHD9/Xjqdjt1zzz32yCOPWK/XszvvvNO++MUv2o4dO9Ztc3wMfbWv/vbV3PGdCPHzYvHXfKV0Fh96DppUUpXlqlz17wtajkI9DUio/YjeT/yErn6/9LqKW8/EVFmbRoGkXrvxazJ+Xvz61L/Vx9wPiPk2RKLX0w9+8AP74Q9/aO122x588EG7/fbbQ3D78Y9/3L773e/ajh077IMf/GDfOvQa9aG17vbQe5C+Puwc+tdSkiSh97LuhlCldBYfjmtwRe+3cYsxfbbR+5c/fvpckRUAq0raV1r7liHxMVaorO0xs76WKZ1Ox44cOWK1Wi307tbdOf7nm69y1/FUyKwBwmF3h/pl6PzorgG9X+uYKQSPK/UBAJsbwTWwhekDcalUsk6nEz6EKsDmQ93oxq2C9r9cp4XQZpYatHJO+imsi/njrV8YFWgrhMiq1J6EfsnbyOCP/wUx7ieJrckH1qVSKVTq+iBHt1n7wNrzlYFm/RMqqg2Nr/T0FXK+Mu+uu+6yhx9+2MzMbrzxxtDzNR6IUYjiJ4Pzr0FVvCk0V4Wnr8iLwxZfLR3vR9ox8z1/FRylVbH6QNhvnyZQ9AGfttmHa3EFqdar86H3jQcffLBvkODZZ5+1PXv2mJnZmWeeGX7G7tq1KxyrUqlkl156ad/6/XaPEuiOEvyeffbZ9r73vc8eeOABO/vss+29733v0OVqGyZZn3/ssWPH7Mtf/nI4D7feequdddZZI7W0iAcM9JyjR4/2PW91ddVWVlb6Bkd8BftLL73Ut76TJ0+uC67TxNvorzm1Y8hq3zEt5XLZ6vX6wGp33//YzNb1Xi8Wi32DKHq96Nr2oaMo3NOysirPPZ3jNP49ZNQe6XEfaTNbF8iqsjz+mavz88gjj/QNqB0/ftzOPvtsMzPbv3+/3XbbbeFORIWqcW/2uE+zfi77wTp/fcbvGf5a9oN1cY//QfS+qO3RIFva8faDHToWwz5P+GXGvcTT7gDzd72oEMbPi9BqtezP//zP7dixY5bL5exDH/qQveY1r+kbkNc6NNCqr+tnouZsGKVKWgMvfpDJH7u4H7bOmw+xAQCbG78xA9uAPmz62/b0YW873lo3bhW0D6H196AQ2j8Gs+GPb/zLnQ+0fdsRnUf1LR2lSvvEiRP2zDPP2J49e+zss8+eStCsX6RUgUov+q1H1XuqFI4DDB+W+CDMV5JpgMOsf0BLoYrCm2q1GkJVLVtBiir4ut2u/eIXvwhB7r//+7+Hnq/qwar1xHcHKHTwlYq+0lnr8hPZKZj1faVjWkZaEOjDLwU1et3EFZBxUKbqc4X9cTjuW5XE30ubeK7X69kFF1xgTz/9dAjRnnjiCbvrrrvMzOyNb3yjvfOd77RCoWC1Ws0++9nP2s9+9jM744wz7Lrrrlu3b2YWlpMWFPuvDQtJVQ151VVX2VVXXTXwsV683FF6OKct46GHHrJTp06Frz3yyCN28803p55zP6FjPNDg3XTTTfZP//RPZma2Z88e27t3b1hfkiShTZP24a1vfat9+9vfNrPTgwjnnHPO2Psi2i69fsdpcTIJTfQZt8YQ/3NJoVw80aUPrfWeEoeR8eCTHmuWfu7TXjdZPbHjn1+j9PTWPsbLjENqv//xz/NWq2WXXnqpHT9+PLT82b1797p1+WtR1c8KZfV+qNeigl1NSih6vno+e9p+hbtmFrZnnLuq/ODBoM+PftBGoXVWyK1t13u8HqOfH37AIS3ET1tukiR2+PBhO3bsWDh+DzzwgB04cKBv0k9dB/HAqP/MrGM97PeReEAji37X0cCtCnbM1trY8FkLADYngmtgG/EfDvUB1fei24wf6Matgh4UQuv/aSG0/xvLTecurrIZt0r75MmT/x97b/5dVZVvi8+T06cjISQhoQ2tNIKCNCKoKIqKig2IYoel95ZV9473/pc3xruj7nu3vvdWWVVaXhvsEUWl0UIRkDZApAmQhPQh3enP+f6QN1c+Z2WfNicNsOYYDOCc3ay99j5r7TU/8zM/+OMf/wifzwen04nnnnsONTU1OWkjfSsDgYDxvb5JwOeKz5S03yDhQqsD6d9OVZgVWSELhclxjJ/L41gRUCRQeCzC6/Wq40n1NBA/JtLnV14LEK/WJfFAz2GquEka8HfIwKk8TyKvaElsud1u+Hy+OFLLiuDTyT+rgof8PJWns1SJAwNkajAYRGNjI5YtW4Zdu3Yp0ubYsWO499571fGKi4tx7733Jjw2j6/7XMtr1gtNymuVpKKc0zKFVR9keqyysjJFSLtcrjiSWYcVoenz+bBv3z5EIhGsW7cORUVFmDt3LqqqqtDX12dJQusZC3PnzkVFRQV6e3sxefLkOEX93r170drairvvvlt5ZSeCTkhmSlrLZ+bSpUtwuVxJi2RSCSwJ1ESQgSgJWdCPZKEkqeX4AAw+/6muzUqNLz3ogcHnVLesSPQMsX+kjRHVuDKIJ58TBrZI8FMtzEDa+vXrUV5eju7ubixdujRhYJnZUvrxmSnB7AoSwVKFz76gjYmVBQ6FIbwmksKErhLWwfNyjKQ1jLRfIXgPZOZNIlI3FhtaeFG3DCHBy/GV9hv6/CXnMBmIzcvLw6RJk5TqW2an6esKfieV3pIwT7QeYYA/nb6U/STvGev+GD9sAwMDgxsThrg2MLgFIVPrpLLI6kVzNJGpCtpKmZSIhJbb8N8Gw0MykiPRd+NxH11xRJw/f16lcUciERw5cgQzZszIWdopFV66LYPBjQW58CapTEJAL+olAypy4c7jkLyRARYgnvST4xxJDulTa6WmdbvdePnll/Hpp58iLy8PGzduBBBf6I2p1jJbgUikPpWqaRI8bBvnExISidTFySCLt0nSSB7L7XZbKqXZp9JPmp8lKhBJ6O0Mh8O466670NPTg4kTJyqLB54/G/LYSlnNIq6J2pLIu5zfZaKczqQYYyLU1NTgvvvuw9mzZzFnzhzMmzcPwFDyPRHee+89NDc3IxaLobGxEW+88QYAoLCwEIWFhZb7kLiS/TJhwgRMmDAhbrvvvvsOx48fRyQSQVtbG1555RVLRa7Vc2mFVNux8Oe7776L5uZm2Gw2LF26FPfdd5/l9nw3kf1kdXxm5ujQ39X4XFCBLccPBqf045O41T9PdJ2SCGdgSKpskxHw/M1JxTDnPBLSVmOXtKogyc/gjc1mw+233z7kXPJeSdJfKokDgYAia+ndLH9bVgUwGRiQ94NEKPuNpG0675gykMC+oIURAEvymuNfuqQ169uwL2gZwu9l5o7NZlPXyH8z2CrPU1hYiE2bNuGHH35AZWUlHn300bgMISvbEikUkIF6uR6RBLO0+ZC1D9IlrmV/5coPOxqN4pdffoHf78eyZcsyKtJtYGBgYDA8GOLawOAWB1/oSLIwxZqEw5kzZ+D1ejFnzpyMXhbTIaGt/g9Yq6DHGwk9HgnY0d4nGRLdk2T3Kpf7JCOA0z3P1KlTFUFF9Rx9MnPlnUjVqSzaaHyvxy+6u7tx5swZVFRUYMaMGXHWS9I7VEJa0wCD6msq+6RSWP/DYnHA0JRrKhFJPlMdrRexI9lTWlqKHTt2DPF9pn9oLBYbUnBQEtlWitlEykwq22R7SVzxOZfqab3N8vwk7kjASBKa+0u7FKoFGYz1+/1DflOJSFsqWDkfEs3NzXjvvfcQi8VQWFiIp59+Gnv27AEAFQRIByTUJBGkWyUkK2qoq14lPB4P+vv7025LqjamizvuuAN33HFH3GcyiJHsWN3d3ep7EqvpEn6AtWqcaGtriwtW9PT0WBLXunI2kX1Nqj4hGdbW1qZ+K6dPn05IXDPwlIzg1/tD3ns59/B3LGswyEwGOcbIApR6ECgV+F7INkk/Y6vMCXmtPIcsvEhvfKvr43E5fgLxgaxE/UabCHnv2Xard0uXyzWEtJYZEZLE1dvA3zGPx35NZw6XfcZihnLMlvUw9MKX7JdkpLUsvMh2c36QPugc8znGS+93Ktt5bfLe1NTUYM6cOXC73erY0v6DQdzm5mb4/X5MnjxZBRKTvbfJujzSjzwX0Elyzt9AvB92V1cXzpw5g6qqqrhMjZ07d6K2thaRSARHjx7F73//eyOCMTAwMBglmNWxgYEBgMG0Val4+NOf/oSOjg44HA4sW7YMGzZsSKl+tiKhk/2tE386MSOhn8cKhrTNDWmbi+9udFRWVuK5557DL7/8gpkzZ2Lx4sVKMSS9RnNRxZ6Larngu5n7drygoaEB9fX1mD17NiorK5Nu29/fj//7f/8vent74Xa7sX79eqX209X6ErpSmPdVPjPJ7rW0GJHbkXShgo4KfgZadLW3JHyl3zAwmAqu+7LKoCEJDx6DJJNMp5fXzGJ6uvJRKjP5vU6eyWJc0kPb6jfGNkjSiynn0WjUUsVMAlifr+R55fF++OEHRQpHIhH09vbi+eefT3jPEkFeq9XzQlJQBix0SKsG6YmbqU/1pUuXcOHCBcydOxfTpk1Tn2dKXCdDquPMmzcPtbW1AIBp06ZlPOYlU42vXLlSFW4sLCxM+PuW1itWHs7pIhqNKtKNgRsW8LQCiUv9t2i1HdshSVOZVSB9giXhJ6+FJKT8/eqFHpNB/o7426aKlQHdZP2ln0cqYQHEKcLls80gH1XRDocjqbLb4XDEWR/xePycwSyel2Oa1VjEMUf/LerjmvRU9nq9yTsSg8pnBuMSiTBIgDMji+eQ9QasfjO6sll/JqQqX47p/I5kPAOxVrZL7B8eW+7H8evbb7/FoUOHAAy8T73yyitp/cZJuNMyhUFajum5CO6TZJf3zu/3o7+/H//1X/+Fvr4+eDwebNq0CYsXL0YsFlN1DoCB94FAIGBU1wYGBgajBENcGxgYxIGKh0AggL6+PkWanDx5EmvXrs3oWFYvqFbEsyFtDcYrZs6ciZkzZ6r/c6FGZRUQXwyPC/Fs/BPtdrvyvSYJYp6xkUN9fT3eeecd+P1+HDhwADt27EBFRUXC7a9du6YIjEAggNraWkVcZ1LwExgkSNNV7JNk0hXRfB6ZXk7ymkSCroIkeUSSmqQ6wYW4VbtISEgCWpJ+Uq1KUliqO3V1OTA4D5AYicVi+Oqrr3DmzBnY7XY8++yzinAkycb0ft1GRSfNSDDo5DTb/sEHH6CpqQllZWV49tlnVfutyPGSkhJFpuXl5aGoqCjBnUoN2RYr8txKtU9cuXIFTU1NuO222+LUwyQP00V9fT0+/vhjBAIBnDp1Clu2bEFVVdWQ9hHZktmp9tuwYQMWLFiASCSC6dOnZ3RMSW5a9eOsWbPwyiuvoLu7G5MnT05IdklFrlT9y+BBKnJZtu3555/H999/D4/Hk/Sdib/nVGM8yVoZKNUDUiQwdcKWv08GsoABEvSrr75Ca2srVq9ejTlz5sT1gxXYTl0NTUVwutYwhNfrHXLd8jctCWRmavBeU0FsBbvdbklaM9MDgLLYIGkrz62T1i6Xy5LY59jGgB+Pleh+yuvh+0Oi7CpJoAOD5LWuzpb3XYIBSrfbHVckmGQwldX8DZHUl77UHINkjQR93OJYLIuBsi/4N201AKClpQWBQCAtYl/2BTD4/Mk5QM61w4VUel+8eFE9F36/HydPnsSCBQsQCAQwffp0nDt3DpFIBAUFBXEe8wYGBgYGIwtDXBsYGFiioKBALRAcDgdmzJgR98JpCDWDWxFSCUSlkvSPlAtsqlSp2kr3+CQeje/1yOLcuXNqUe3z+VBXV4eioiJLwjkWi6GoqEgt4l0ulyJ8nE5nUjLFCpkSgUyr171TqbqmglA+c7KYoU6+SPJXks/AwGI9EXnNNtBPm0QuFcxUUbJoG31oPR6PUs3x31QdS7Kws7MTZ86cUfdl9+7dePnll9U1SOJdIhmpyG0l+XfmzBnU19crld2RI0ewatUqleavK1fXrVsHv9+P5uZmLF++XBUhzAXSfQ7OnTuHXbt2IRAI4NChQ3jllVeyJtAvX76siDC/34+rV68mJa6TKcCTIdW12Wy2pAUMrUAiMp3CksXFxZb2IBIywCEhr1d/vmjvZEVqTpgwAY899ljyi8Cg4jhVwEEvasp7QbJUbz9/j1TAMnBEwvLrr7/GyZMnEYlE8MUXX+Dll1+O8we3sqKR/sJsg7SWyETtn8j/WVdb828WeuU9SPYccn7muMO2ygAdyUadtNb7kEFCKwsUBkq4H1XBiaw7eGz2V6LxNdF+esAAQFwgjSApzudKzjMkzVnwlvMc20UCW9pfWWXTABgyDieyiSktLUVvb68i+jMlenntnFuYMcDsNLYxF4UWSdaXlZWp35jL5UJNTY26vkcffRQzZsxAKBTCXXfdZdZBBgYGBqMIQ1wbGBhYIi8vD6+//jp++OEHFBYWYvXq1eYlzcDg/4EEs/TGpL8oP6PqiItoSWKnUvJL3+tkBZgMssecOXNw5MgRRdROmTJFKfwAxBU6tNlsKCwsxAsvvIATJ06gsrIS8+fPBxBfuFCS3vJvq8+4AE+UJi4h06911TXJVioJgcFCccBgFoBsoyRDQqGQUvrzeq2eOxLMJAr8fn8coaJ/z/OTGCG5T6Uc2+bz+eD1ehEMBlVqONHV1TWkL0h8y+3SKUwoiRi9iKX0syXxI793OBx49NFHkx6foBownd+sbHOqYMaZM2fUNYdCITQ2NqpnMFPMnTtXqSG9Xi9qamoSbpvMR3oswGChtMJJ596nslPhM9Hb24udO3eit7cXd999N5YuXTpkW6tshUyRl5cHv9+fktzXz8Hz6gVbOf8EAoEhzx/Jx3A4jPb29iHe35K4thqH9L5Lpa7Wn2X9t6RDquX1541jSjq2Jgwo65AWK/wN8TqtLEw4jrIvra6B5L0cB2lRpJPSDNIxqyrVWC/JZqqjvV6v8pKWQQmn0znE8kNXrjudzjjltFRFMwhps9niPPLTeb71LAW2n8/LU089he+++w7BYBAPPvhgxkF4SVpLMPjBWgScO7KpOyJV8MBAsOv5559HbW0tJk+ejLlz56pt8/LysGTJEnUuAwMDA4PRgxl1DQwMEqKoqCijwlMGBrcaSERTpUTPRC4yZaquVJemshTRiQiqvE3wKHeoqanBtm3bUFdXh9mzZyubEKmYp+KdVgxVVVWYMmWKUrNZkUq6wt7Ko1aSBjpxpZPZ3JZ2IdKGRKoK/X6/IkekEhsYTC+X5LQEC4DJ72kBwDRtqfgmMSYJYFmQj33HY5BwSQT+NiZMmJBS3cu+1/s9FeQxFyxYgJMnT6KtrQ3FxcVYvnx53DXQridTHD58GD/88AMA4IEHHsCiRYvS3jfVNcyZMweXLl1CIBCAw+HA5MmTM24fMXnyZDz//PNoaGjAtGnTknoxjzdI24VM9nG73UnVzTzerl270NTUBADYt28fZs+ejcLCwrhtdTuKbCCLoiaDboGiE7MOhyOugF4sNlhklWOZfPbvvvtutLW1IRaLobi4GNXV1eo73Ted5010vfytp6N+5/Gt5jBpFSQJVgb4UgWmpG0Ht6O9C8cd/Rh6u9kuEsskjK2U7AxuyWuhMpznI7nJApwcE9OFJK2pkKZamu8ELIRrRRzLoCvJXfm9DGDKvk+U0WAFzl8MnvJcJJy9Xi+eeOKJrEleHkfvFzkHcX5hoD/dmiOcf63mmkmTJuHee++N60M5h/N+mmw4AwMDg9GDIa4NDAwMDAyGAZmuGgqF4Pf7FdFMGwkudqTSjenPXPRZLYSM73XuwcV6JBJBZWWlIqx1ZR3VdCRSaMMBIE7NyMU1SRGSn8mCDVwws7CTVNjpf+uqXFkoS99eqgmlopDKQZn6rSv7+NzSp5rt5Od6KryujrYiE0m8k0Rgv5PI4PZUi0ejUUyaNAnNzc2w2WwoLy8f0ndyv0T/19ugf2+32/H8888rEkRHNqR1LBbDDz/8oMjRzz//HBcuXMDjjz+ek9/swoUL4fF40NTUhPnz58epZHVYeTLr/VBeXp6wfyXGk9qaSMdvOtE+yUhvqqBTnSsdhX86SOc4Vr8pSagxk0Fm9wCIU3PLfWbMmIEdO3agp6cHFRUVcXOOrnS2Oq88FgljfTur/QFrf2q2m2OTHH/ZP6lsajgmyrGNx+YxpGUQxyG9HSStZfFlIL4QLcloWeeC53S5XGrMZpFz7p+JXRivORaLKWsmHlequ9luua8MhjD4bZXZw/kNgCoSCaQO2vH+872FBL4k7aVv9nCyxeRckQzSo1raylBpLsdfSVjrY4FUi/Nzqttl8IbzJfvNENgGBgYGIw9bLBPJgoGBgYGBgUFScNFJ/2C5cJKLWlpFyCKP0qNYLjat1FcG6UEu+JkWzX7mop52IVIhrCsdZco1rSqkSjmRfYAVgU3SID8/P2X76eVJAiMYDFqmm7NN3Jbtl4t4fpYNGUmFmyQ++AxLQstmG/C0lkEZEhqSPJJ2IjINPhgM4pdffoHNZsOdd96Zk5Ts0bC7iMVi+Ld/+7e4dHu3240nn3wyrsBrIrB/MylyB1iTnyTQsvGlTuccY2EfkohwzlR9zSBhIvL72rVreP/99xGLxVBTU4NNmzZl3eZcg4FQPmPSK1n6XQPZPU9WRS5l5o8Es1GSqc/158ZqvONcSXW1zLhIh9iX2R3c1ur5TNUf7EsZsNSPwW1isZi6bp5bFluUwUJp06RnWbGv5Z90AwF6AIEqe9peJLMkkeQut+PckgxseyQSUTVvOMdwzpQ1QJiBlg3Yx7KQJz9LNW+yH/lsSWsXEtbMYCIoMJD3nHZZDGS43e4hwQjOgdKOxcDAwMAg9zDEtYGBgYGBwQhAFjlyuVwJfS/5hwshuXjViztyAUUV0K2OWCyG2tpa9PX14fbbbx9S+E+Sq8k8xqkqJoltRfzJAmVUB1IBT+WaFclDgoEKfP5fX5QngiSu2dZEHps8riS0mEouiRWSPCSa0y2+Jy1C0lGc6sEXXbEplYzhcHhIochMQGI+U+I3l6ivr8fOnTsVAZQOcS2vWSqlec+zURfrxxou9Ptipb4FBsannTt3oqWlBTNnzsSjjz4a93xnSjLnEiQiORYnsw2hvUOmxeRGA3qACECcvzHJQhm0Shderxc+ny/uN+t2u4cci0SpTpbrkBkecvwhqFyl/YYMimXynHBc1dvIc1MZS4JVh+xLktbyukh6chtgcFwlcc1+Z1Ca84wVGc1zkkCV46ReNFLeC/1dgqp6WohEIhEEAoGExR9lQU32S6L26SCJy/axUCLnJ2aESe/vdOa3ROCxZVH4dIlr/TgksIFBH/TDhw+jv78fy5cvR2lpqXpfIGSQgs8oAzX6mM15xxDYBgYGBiMHQ1wbGBgYGBiMELigYSo0F9hW25EsiUajimCVamESr8DA4taKCLjVsGvXLhw9ehShUAilpaV444031He6ej0ZpDesXPxzkc9+pyKQ90umh0tlM0mSZOnmsshWMujEtVR/WV1XKBRCJBJR31P5Fw6H1WJcqhyltYlewNEKJLpJAtJzmgSKPKYMJORSAWwFWShMTw3PJVKRr/39/Xj33XfR29uLGTNmDMsqhM/jaKqbra7v+vXraG5uRlVVFYqKihLue/DgQfzwww+qgOKmTZviipsRubLaSBd5eXno6elBR0cHKioqkJ+fPy4tUIYLzhvSciMdkDilolQWqPV4PENIfqpqE6mtGSSQ99mKxNSVrIkCIsnAcVoqxSVpzXNLcl9eN1WzieoSMFCnB5aTPb8yQMrxkNknwGC2ivRK1o8pM3+sCg/yemQ7Oe7rcwqVxvr1y3ktkdUTt6Oim4FTXgNJfnlezjl6IeFMoPu18zoCgUAcmZ0IuiUI+ycajeLTTz/FuXPnVF2FN954I65vJfHPZ5RzGYlztoUqc94vnk/atBgYGBgYDB+39orXwMDAwMBgBMEFDBWtPp9PkZW6ElGms3JRCwyqxaRCm+oyEkS3qsfi2bNnFWHs9/tx/fp1lJSUKDJA94NNBGkdwP4mIevz+XDp0iVUVVWhoqJCLX5JjlBtJxeuwKDCkItbWZhRFnfMVJ3F1PNE+5LAJclOsoVkOlP8w+GwIpNCoZAqOGZVMFKCBDSfYfYDr8fr9apj8PkEBv1zeU9cLldcoIYBAOm7mgm5KImqbMlq3rtk6e1Wxegk8vPzsWPHjqzOb9We0daX6OdrbW3F3//+d6WIf/HFF1FSUmK5r1RzJvMmHk3SGgDa29vxt7/9TalCX3755YxUm1aQfri5hs1mQ29vL7788kv09/fjwQcfRHV1dcpnQQ9ypEsAS6IaiH8GrBTVMvClH59jbyAQQENDA4qKijBp0iRLa6NgMAin0xlXQDERiWoFEsTyGDJwRiTy+5bEYqL7KOtSkFSnDRjnYY5VVG5bEfR8XmQ7eCy9jgHPZeXRDAwGJz0eT1zxZz3gLQtC83plrQwS/rw+CRnIlD7qVG3LQo6S6GVb0iGXk8FqftODklaQbQSgAs1yLLp69aq6r8FgED6fD0VFRSpQI68lFAop8lyePy8vT/V/KBRS5Db7RAacDYFtYGBgMHwY4trAwMDAwGCEQfUR01S5GLIiHrnw54JL+lFStc3PuTBlMaRbbYE0e/ZsHD9+XCnaCwoKFBEgiQKdLJBqOCsrCwYa2tvb8fbbbyt19LZt21BdXR2XSs5+J4FAIpjEg9frjbuHsm0kIDJZ3HIxTPLY6nsqoUlkyOKHoVAozu9aEjAkX5IRcuxTuTjn5yRLYrGYOi/VjFYKdUmYSXIJiFccpgvpu0slJo+fCocOHcLBgwcBAOvXr8fixYsttxstpS6vOxwOo76+HsXFxWkVU8w1amtrlbI2FArh/PnzWL58ueW2K1asQF1dHXw+H0pLSzFv3rzRbGpC/Pzzz8oXOhgM4sKFCwnvbzqQ40YuoBO1sVgMH330ERoaGgAAH3zwAX77298mzbDRj5GJapm/V0nS8hh6MVfONbrnNeFyuRAIBPDWW2+hp6cHNpsNjz32GG6//fa485FIJKnL4JXP5xtS8DbR9XDMkW2xuma9b+W/k1nZcOyORqPKNoakrQzIyaBcsowqGXiWwTppcSJJZqs5Qc+4YdCV46WugqeSnmO8nJ/k2C3vOe1PONfwe5lVxLGeYy7BuXg4vw896JnuPrKopSSs9bbMmzcPJ06cQCQSQUFBgVJQ66p2vQ6J1fNCCxES4HzPMwS2gYGBQW5hiGsDAwMDA4NRAgtJcUFDtZiVYpqLYC5uWdQxFAopYptqV6qASSyka5Fxo+Oxxx5DdXU1uru7sWjRojgiV0/3Zn9I6wq9CKOerl5XV6cIL5/Ph7q6OlRUVMQpjZnuTS9YkihM16finotb/Zz8nMdM577Ra5QEjw4+H7SUIQEkCW15nSQaqA7nc2RF0pLkkoWsSCDxnCQ//H6/CiRI65VwOBx3fCsvZ5nGny6ofmc7dSuTRGReLBbDwYMHldp73759wyI2h4v9+/fjl19+UYGqvr4+5OXlYe3atbjzzjtHtS3V1dWKyHK73aisrEy4rdfrxW9+8xul9h8tpPLqLS8vV8Eep9OJiRMnDvucmT6bmRyL1iYECTj+TmOxWFxBU27DcYP3K10ksr6wInyT2bwwUNbU1ITe3l7VhoMHD+L2229XAVeOjXy+WRRXb1OithA8VjrQyVmSiPSl1q+Lzy9rGQCDJDVtIzj3Xrp0Cd988w0KCgqwZcsWFBYWxtVY4L2hjRRV0VTqAoP2KzLbiv0ns7GYNUMimdsygC3HZJLO8ph6XQF9H7fbHdenJMSlbRbnMF1dzj6RXuDZgP1lVRfEam6kJYhOWPN51J+l9evXY8aMGQiFQpg9e3ZcUVI5T1BgIIPbVufnvO33+1UA2IrABpBQRW9gYGBgkByGuDYwMDAwMBhFSIIyFAqpwoDJVEpUaJGgkeotKuD0BTaJcb3A482EvLw8LFu2DADiFoc6ySFVcewPvb+ZNs2Fvt1ux7Rp0+JIuylTpqjFrSRaqRgGBv1VSUZROeZwOODxeJSHNkHygCpukmvJFrdSdZ2ogBztTmRKf15eniqqRrKZz4Xdbo/zs9X9vCVIYFgpNCXpLT9n/5IMkEW8ZLo9IQtqZQJJtJB80pX3VpC/j7H0ju/p6cEvv/yi7oMk3I4ePZo2ca37/GaLOXPm4MEHH8T58+dx2223YerUqQCAvr4+tLS0oKKiAgUFBWp7jm+jiVQE8tKlS+Hz+VBfX4/Fixejurp6WOcjQZcrWP2+7r77buzduxcAMG3aNGW9wPFIktbSh5lEcLJAzXDbmsgmhErcoqIiNXbZ7XZMnjwZgUBAjasc66joZjBruMVESX7rQQyOLewnjvG8Hj3DhMUiSdCS2KS1CYA4e5NPP/0UPp8P7e3tePfdd/HCCy+oudftdquxSJLPMmNH1r7g33rAWiqpqYaWbWPfE2yvJIDZDyTrddJaEvJsA+dVZunwObOqscBjDvddQ/ccl9ckz5mMsE5WnNZms2HRokUqYCKfB76PWZHnyX5L7D8GI1jQke8a7GtaixgC28DAwCAzmOKMBgYGBgYGYwimt9I3M5PFjFR9cdHKNGYuxkkM8DtZOOpmA1VhciFKxZWV9YQk9qVaWvpc1tbWora2FvPmzcOsWbOG1T4qoaWNhgS/k4pESUhJxGIxZYmRiCiQqcokTthPJAd04pvHJaS6z+p6klmK6PuS1OY55bmsiLBk5EMysN8Stc1KkXrlyhV88cUXyMvLwxNPPJFUWQwADQ0NOHLkCKqqqrB8+fKc/Z56e3vxn//5n4q4ls/vbbfdhsceeywn5xkOurq68Ne//hXhcBgOhwPbt29HaWnpkO1isRiOHTuG5uZm3HnnnaioqBiD1t646O7uRjAYRFlZmXq+ElloSMsffq4TssnsRKSnsQSDprLmQjpK84aGBhw8eBATJ07EunXrhgQzJCmoF3JMhUSEPEliq++oZqYaWAY69e2k3z7V7ZIglXYhPT09+MMf/qDGsZKSEvyP//E/4sYDv98fV4CRfWhVYJntYqaMnNt15a8MYOrBBPm9vE5ur6v8GRiRXuEA4mxSmK0jVcgE+0u3DskGJJT1vuE9YNBfEtYkzZ1OpyKIE0EPJgQCAfXuxf7nb0rOu1YFI60gg9N6YEK3NDEEtoGBgUF6MMS1gYGBgYHBOIAkGembmAlIUutFHRMVa7oZLUW4eCYBLBfhJHFI3JMc1kkQXU1GhRSQnEh1u91DFr48d6avWjLFWxLM+n1iW5ItpKnOJOEg+wnAkCJa8jtJagFISAZYXaMVAUSQ3JBp1VZWIcN5RZUKRp0Qy9RKQUd3dzf+/Oc/w+fzwel0YvXq1Vi9enXWx9Px008/4dChQ3C5XFi/fj1qa2sxYcIErFmzJo7MIRkWi8Xw008/4dy5c5g7dy5WrVqlnvlM+rC7uxvnzp1DeXk5ZsyYkXC7H3/8Efv27VP/X7t2Le6+++4h2x08eBAHDx5EKBSC1+vFjh07UFhYmHZ7DLJHpkSwJKfTQSgUwpUrV1BUVJSW9zqfR45rnOMYeAUG/bFTXYdO0HI+k97bVvvJIF8ihTcL1jKoJol6mdkkM2Q++eQT1NfXIxaLYePGjVi0aFFcLQr6LHMcpd2HrhDnHE4lNf9IFTEApV7XQRKUcz7HfmAwaM1MLEl0s18YTOU+sqYGLZesik+yP3NlE5IoICuvRxLWJKAZuEkWWOFcw6AB52t5XVZ1RXhseR9TXQfnPQZxdfW2IbANDAwM0oexCjEwMDAwMBgHoFUD00x1pU4q0AaChQUl6SnTVQEoEpsLtJvFUkR6K3s8Hni9XpU2T0U7F4vsD/6fYIEr9oksphUKheLsNCQCgYBaQHu9XqW6oipMpslLz1Er6ASx3iYucB0Oh0ptTvScSMsQ2U8kidgugtcrLQnYHlmUSyKR/yz7TLbNbrfHeVEDsCSQeI3JlHPJwH636ufhkNYA0NHRofogFArh7NmzAICFCxeiuLh4WMcGgJUrV2LlypXq/3PmzLHcjvf0119/xcGDBxEMBtHR0YGJEydi3rx5cX7kqdDf34+//OUv6Ovrg9vtxvr16+MK6kmUl5fHWegkUlLX19er+xeNRtHR0WGI6xzDKujjdrsz+t1kan0SiURU8cW8vDw88MADWLRokeW20oKC2RdU+5K043ZW44DV2KIHwUiqSrU5x3apJOfYxnZYZeGQCOXcyYKR/I7XIueAxx9/HN3d3XC5XCgoKFB2ERyDON7yvCSgmSHErBpm1pBIlf1FAlknZqU/M+1X5B+5nW4RRTU1/y2fGRmI5XidKFNLWkANF1JNTrBtvCecF2i/xfYnyt6RtjV60ID3WyqiGZwgmU/bD46n6SCZdQivT3pwGwsRAwMDg+QwxLWBgYGBgcE4AdU8JJ+p6Ezmf62Di20qvbg4J/FJwpZpsNIzmyTjjWwpwusPBALweDyKxKEijKQsF+QOh0ORcLqST6rPuNgnqaAXBqNfazgcVvfM6/XC7/er81Lt7nK54rxo5YI4GclIkkMnpWTBRf0P77lUmLOfAMSpzSQBIYMA7BMSN6lUbQRTvnXltW43YGU/IJ/BbIlm3p9ce/1WVVXB4/Goe9XR0YH9+/fjyJEjeO2114ao2EcaHR0dirQjeU2kq7ptaWmJKwp35syZhMT1rFmzcP/99+Ps2bOYN28eZs+ebbndkiVL0NLSosi6VPYr2WAkfJxHAleuXMGuXbvgcDjwxBNPYNKkSZbbRaNRnD9/HgBU4TgJGYggEScDNAwuZeMPr4PnltZLANDW1ob+/n71zB0+fDghca3bDEkyl2Mmxy4r8pzjRn9/P0pLS+PmI0lKy31JOAJQdQBsNpsKxEm/az470raE4zUDb/yevuJ6QMhms2HChAkABn9v3IbWFVSWk2CXRLWcZ9kejsUk3/UxVw9sc4yUmVsca3ks2T/RaFQRqdImCxhUpjOwzTlUL6BJ8LpyEfTmPEuCnYQ1M01YWJLKeGCoel6OB1Rmk5DWle5U/8vzs9/kuwKzqDK5RgYsGKxlsERarcj3LemBLVXkBgYGBgaGuDYwMDAwMBh34IKHfpoyPTnd/bkgpn8jCQ0u8qjCJrHJBR4X9lyo3YiWItKyw+12K/UUF/TsEyqiqCgjmSz9RSW4qJXqapIckvCW6imS6Ewtlx6mJA14HP1Y+jXJ4px6IS5ZZEuSH/wMGCSSdUUe2yMJG+4n0/dtNluc+iwdcoykjSxQZbWNxOXLl3H58mUsXLhQFQMcDqTPay6KFrrdbrz66qu4fPkyDh48iObmZgAD19He3p6TNmeCRYsW4ciRI4qQS0QiElYq7PLycnXfXS5XQjKaWLJkCZYsWZJ0mwULFqCkpASdnZ2YOXNmwkKiw0E2NjyJ1MgysJNLxGIxfPzxx+jv7wcAfPjhh/inf/ony2137tyJy5cvAwBmzJiBp59+Ou57ed/4u5HPsz42EPpvT/4O5PPAf5Ogs+qv4uLiOBVrVVVVyuuXlj36GKarnolwOIzdu3fjzJkzcDgcKC8vx7Zt21TbEt1HEp36vMlAHDBAvl+8eBGVlZWYOnWqaguzZTj/SRJTttOqj6U9D/ubKmBZSDmdgLC0xZBZK4k8pqVvttzXarzlnMM5n2Q8gDgLF86f+jOhH0tXLQ8HJMGZDcR5QxaMJImt26Ho4DzO73X7ERk04fE4b+tZQh6PBz6fTz1zmVyv3W5X2V98JiSBLreTBLZug2JgYGBwK8MQ1wYGBgYGBuMU9DbmQloqtNIBF1xc3HHRJ703qWCiupWLJ+DGtRQh4Uq1Mxd/JPK5MOfClUSCVJ1JpRQwqATjIjqRR7ZU43Eb7sN7Ke1geFyqsPUUeoL3wul0KgKQ95DXLNPGJWnN1Hz6mrKd3EYSLNLeQ/eHple2bvVhBUmG6d6p+vfAIEF26dIlfPzxxwgEAjh69ChefPFFTJw4MeU9TwZJcOWCuAYGSJB58+ahp6cHnZ2dKhiUSEk7kigsLMTrr7+O9vZ2TJw4MSVBbEX0FBQUYPv27Th58iQqKiowf/78nLStqqoqJbE5mkhEdu7ZswenT5+G0+nEli1bcnof9SBPMhuPxsZG9X1jY2PS47pcLly8eBFdXV2YP38+ioqKEnrFS8sLjn+E9DuWCuRwOKzGFAmv14tnn31WFV+85557LNtHyw3+LUlfSYTKc8l+2rVrF2prawEMjFGtra1ob29HeXl53FhnBV5fMBgc0ifXr1/H3/72N/T398PtdmPz5s2oqamJqwMBIG58zMvLU9km+u+HbZHjJecdXis9/xNBZj6xj2QhXyqvE/krU30vx3ErFTvbyUA2SWsGRWXtARK90qJDh1QoDxcyWCwJa5m9JDOTGISwCvbKOTKRxzQDG+lcC6/d7XYPsf5IB2wD52wGv61svnRLMb4rGALbwMDgVoYhrg0MDAwMDMYhotEoDhw4gNbWVqxZswaTJ0/Oyv9aLrjpScuFq/QslopUkrkynVm3FNH9lsfbgkqqheW1UGXNxTjJay5g/X6/WrhLX0/+TSJAqtHD4fAQxaJsB8H+ZxExElTS11P33pYqRWCwCBbtSGgrwza4XK64Ioyy8JeuzNbVgZL8lvtISGIlmU2D9FHl/3WQjJCp7OfPn1fBAr/fjytXrmRMXFsFEwBrS5LhYvny5ZgwYQLa29uxYMGCYRcnyxYul2vYBHFpaSnWrVuXoxblHiNlC9LZ2YnTp0/D7/fD7/dj9+7d2L59e9bHi8ViOH78OC5fvozFixejpqYGy5cvx+HDhwEA9957b8J9i4uLFSGXyi/90KFD2Lt3L0KhEL7//nu8/vrrcUSa7C89AJWoL+VnsvinjsmTJ+Opp55K2j6S0SRwOV6RgJRjgx4kA4CmpqYhbePvS9p4uFwuFeyj57f0cOZYxt9+Y2OjGmMCgQBOnz6NmTNnArD222cbrWob8DsJBuGk2pcEqu6nzDlVksNHjx5Vzw4zH5KR1jwWMDjf6CSs7GNp2wQMBvNoCcJ+5rH0OggStLUYzvwvLUGAwUAGM5bksUk48z4lKsIJIGlBSTlfy2tJ9F4lAzrZign0TDjed51UJ/h+wf7JxjrOwMDA4GaBIa4NDAwMDAzGIb766iscPnwYoVAIFy9exO9//3vk5+erBTuL8qVj4UES10opRHKW5EIkElHEAlObJamqW4qQABiPvtj08mbKM6+DRAcJeACqX5xOpyJcpPIYQNz1k9zW/TeBQcJIKvZ4XBLpJFhisRh8Pp9l4Saq6KRakX+TrCahIdPjpUcm76P07ObiWVd3k0CWZD23131SZVsSIVEKN48ryQO2b+7cuYpE9Hg8ilDidslUlqlgdQ25wJw5cxIWUDQYQCwWw7fffosLFy5g3rx5WLduXcbjxEh5WeukUbbqURKRZ86cwXfffYdgMIhLly5h27ZtWLNmDZYvX67Gn0R47rnn8OOPPwIAVq9enfR8J06ciCNgm5ubUV1dHdceQveJ1/tS/7/0Ox8OotGoskhJ5GOdCEuWLMGPP/6oCMKHH34YRUVFAOJV6xzDqBbmeQGoMVZi8uTJSoHudrsxd+5cFQCUkMG9TJ49WZBU/9xq/OH8CwDHjh3Dvn37EAwGcfnyZWzduhXTpk1LSlpzHtaDEdLyinMDiwvL7Uia00qLcyXBOUAHx/BsLYCYlSQtO0i2620A4n2/5TEkSFJTeW5FWgNDizJyjk3125eWLbKYdiaEsrQOYUAk2f4kyw2BbWBgcCvDENcGBgYGBgbjEFeuXFGL3EgkgpaWFsyYMWOI4ofprqkUP1T70BJDekXye5Kl0g9bL+qoE6tc1JMEpZ3EePHFZpo6iw5KkEAlQa8r9agAI+EriXlZ9BEYXEBL6w96WgPxRAuJb0k0kNTgvZT9xr6XXqT8W1q4ML1bFnniApdEPNWAHo9HkTU8H5XfDGKQuNdViHphM4JkfCqwr0iKSTuC6dOn49lnn8XVq1dRU1Ojip5xv3Sep1gsZunNm44ntxX6+/uxa9cu9PX1Yf369aPuYX0z4OTJkzh+/DhCoRCOHDmCqqoqzJ07d9TbYfVcTJgwAStWrMDhw4fh9XrxyCOPZHzc3t5evP322yowJYtltra2oqKiYgjBZ6V69ng8uO+++9I654wZM9DW1qZ+w6WlpWntZ+XNn2tIf2H+bmUAFEBclo/MBiFWrVqFqVOnoq+vDzU1NZbkqc1mQ39/PxobGzFx4sQhfWB1faWlpXjuuedw9uxZzJgxA7NmzbIklNMhrPUijfo50+ljGcRrbGxU/RIIBNDR0YGamhrL/ag+5juAHHs5DzBoGgwG4XQ6VcYWMOjxLAOjnNPltSTyt06mUE4GEtDSqovkOd8/dMhMHytIwp3K+ESkNZ81+T6Q6lqs/O/5TsUAcya1SHTrEL4rWBH2hBWBnUn2nYGBgcGNDENcGxgYGBgYjEOsWLEC7e3tiEQi8Hq9mDhxolIRcbEkFT/pLmCk1zOVVFYLMr0YoFVRR0lGWFmK6L7YY2EpwgWi3+9XKc9c+HFhKxedJKL5N9XM9AOVi1USvLFYTNleMB2bHpZut3uI6k9ag0hwAUxVpiQL8vLyVOEwEr6SxJYku1WKsfQwpfKRBAGVeFz0s328p7zvJL95HJ1oylbNrJPg1dXVccpR3sdMlI8k3RNtr3+XbNtPPvlEFczbuXMnfvvb3yZVQBoMRU9Pj3o+wuEwenp6xqQdiZ7R1atXp1Q4J8PBgwfR1dUFYLCAHq0rZsyYYblPOs9yU1MTfv75Z1RWVuKuu+6KGxPWrl2LwsJCtLW1YdmyZfB6vQAGn2XpBywh7Y5yBd07nkExncyVNg7AYNAqkYXPlClTkp63v78ff/rTn9Qc+NRTT8UFlqz8pwGgoqICU6dOhd1uV/OqDqsxgQSxDPTxGuX2brc7Tq0uCftEBTSBAZX52bNnlXXHvHnzEpKvnFeYQUTIWgrSLovHZGBFjuGcz/SMK/ahldWGTv6mghVhTQsZztEymM59ZC0HK9AORFqgJLLfAIYWZUxHbW1FXBPZ2ofIdwn+Hph9pfeD1fmi0Sg6Ozvx2Wefwe/347HHHjNBVQMDg5sWhrg2MDAwMDAYh1i6dCkqKyvR0dGB6urquIWMtLlgWi0L7KWTQkqv50AgEOd7bQXdIiRRUUe5eB9vliIkgmkZQsU5F5YkrPk5MEhw6cQ8CXwuOkkM0J4jGo0qH22q4WjHIskZnYRl37JvZAFE2U9MM7ZSewMDKj2psuYCl9uynSSj5fWxL+S9CgaDQ6xlmNqsk00jpd5MdexEpHOyfTJp6/Xr1+P+zz42SB9LlizBiRMnVFbBggULRuQ8Vp63owESVRwXH3jgAbhcLkyZMgUFBQVZHbO3txfvv/8+fD4fzp8/j2AwiLVr16rvbTYb7rzzziH7SdJaf851v+BcQbcAoee+vBeSbLXy3s4Gly9fhs/nU/PSsWPHMH36dHWORP7ZbGOiDBGSuNL/n+Q8v5OqZlodEVbWLFS5SwsSHZWVlXj55ZfR1taGmpoaFBYWDtmGgVFm9jATh8eV9Q7YDqlI5veSWOVcrmdc8dp0sle32kiGZIQ1j8H7pT+ftMpKBJ20BpBU9cz7ILMf0vHpTkZcsx3sQ2nllk4fMSjNa6Xft+7vbbXfzp07cfXqVQDA22+/jX/9139NqDQ3MDAwuJFhiGsDAwMDA4NxismTJ2Py5Mnw+/1qAa37O3LBRzsPqbRKpiCSdhd+vz+pQknuI4s6yoW/JLHl9uPFUoTn0dVk8rqkEo1g38vt2M8ksKku5Ocul0ulAfN4ViQF+4CLYr1QFzCoBpMLYBLxLPKoH1vajvCeUAEqbUqk6lH2kyzKpi+CScLzeq08axN9nghWfZPoGFYFFnNBwCU7xrp16/D111/DZrMNi4i8mcBAWUFBQVq/3cLCQrz++uvo6elBcXFx1j7SqTDSpHUiwvHuu+/GtWvX0N7ejrlz52LRokXDHtM6OzvjrIQaGhrS3jdRP4xkcEkiHA7HEdRyPMslysrK1FjhcrmU4lQPClpB9pFu+SFtNGSQldckaz8kOocc92Uh5GSw2+2YMGECJk2alNAyIxgMqsCkHMOZ3cM5iKS1VPBy/JckPG2o3G63mos5X/b396sCxNyP/09ViDYRYW1Vm0PvZ3o/J3snkYFZEvlseyLIIsQ8D+9nqmtJB3JuzsQ+hPvx/pKI1/eVGW2RSCQuqMr+5vXwGTEwMDC4GWCLjdYbjIGBgYGBwQ2ClpYWtLS0oKamZlyQVFzMkAyVi2pCLoxlqng6/tdclKZKUbWCVFVTXSyLOibbTydqpRp7JEDlt8PhSJjiHIvFlI0KEJ/y7fF44tomiXj+nwtQLjZ5Tn6mF0Qk8vPzEY1GEQwGE5JOiRRcyZSDkmzneenzS2KYqjUei9dDNb+8XqrBUvlbS4sWHbJvcoVkZPlwVbg2mw09PT3w+/0oKyu75dVsvb29+Otf/4pwOIz8/Hy8+OKLGVkG3Ei4fPkyDhw4gJKSEmzYsGHUrtNmG6hF8F//9V+KPNy4cSPmzZs3Kue3ChBlAknwM9iVSTArE1y8eBHHjh3DjBkzsGbNGkVkpgMSfBx7rSxPJBGcrF94HFl0lv/X5zSrPuG5+J1OXMt5Ghj0CGcGlcxsIvQ5i4FOtonjvpynJMnt8/ng9XqVap3vH8CgZZl+bTIzSyfvEwWpZRCY+yazb6IdjyTyqYJPNj7TjoTXSMI7VQYN585MrVE43/NdLJ25Qz6/tDBhwETvj+PHj2Pv3r2w2WyYPXs2nn322bj7ZAhsAwODmwWGuDYwMDAwMBA4f/483n//fYRCIXi9Xvz2t78dF+Q1lb/SrkJXcckFGFXN8vNUSiQuALOtVs8FMVOM9aKOqfYjiQ3k3lKECiYSuPqCXt+WvqdutztOyWRFHnOBSiKBRLBUj5Ew575UlEkwyCDPpftjA7BcjKZKqyYpwMW9vEaCRAvbLxVfJPStFs9U4UviRFqQ6JYB8lyJkKgAZDJkqvTOJWKxGHbt2oULFy6gsLAQW7duRX5+/pi0ZaTx7bff4ueffwYARaguWrRojFuVe/h8Pvzxj39UBWrnzZuHJ554YlTOzeBSIBDA5cuXUVJSgvLy8oyPM9K/Cavjk6zM9RIzVXCK50vnvNKj2sqvPxWk5z8wWAiQhCHnm3feeQe9vb2YOHEitm3bpsZKjtdsC+cEmRlDklQGDPWivzppLftIn+P0AKf+Peckkte8Fqms5rxB0ljO8+zHTAhrgjZnMqssFWnN9nGepGI8EXh9koiX/08GaQ+WKaTyPJl9CN+D+A6V7DmW82cgEEAkEhkSVJXnNQS2gYHBjQ5jFWJgYGBgYCBw5MgRRej5fD7U1dVh/vz5SgUlPSqldcNIg4ovSX5KP2MS1VQQUSnLhSQLC8riihJU11Lxm646SEK3BklW1DHZflRskbTNhaUIF9MsRhkIBBKqs0hmkFxgm/VUbOlBLVOuo9GoWtyT4KBym32bl5eH/Pz8ODJB2q7w3HIhLgtHUt0uAwP0Oid5LIlo9gH3p8eoPC4XwjwnVdT8WyoonU5nnLqP7SXhRsW/VOfJAlsyLZ/7S8hCmukSYKlU1VLBl0zNlw2uXLmCuro6BAIB+Hw+7N+/Hxs3bszZ8ccTCgoKlPKUnuujjVgshq+//hq//vorqqur8fjjj+fcfqSvr0/9OxqNor29PafHTwT65AIDgbO5c+dmfSxJ9A5XRW0Fq+Pl2q6Fv9VkBHwmv2XOdTJTKB1wPKVXtFRgk1hm5lA4HMbhw4fR1taGWCyGa9euoa6uDnfeeWdckFOOpSRgdWsSaflBApX9Isd86bOtz/FUlPP6pV2GvD7WvuA++m+K2V5WdS/0sTUdwprXKOfaZPeS55VEfigUShmYZ9slacz90vXpzpb0tbIPkZ74fA6lT3kisO85PjidzoQBUp6Xc68UPxgC28DA4EaDGbUMDAwMDAwEZs6cqUhfp9OJ8vLyuJTPYDCIYDAIv98Pn88Hn8+H/v5++Hw++P1+BAIBBINBpXShKilT9agOPbXYbrfD4/EoEtPtdisFFYlTLqy9Xq9Sb4XDYfj9fvj9/jhVNs/Ba/f7/cO2V3A4HPB4PPB6vUqd5vf7FTlu1R9cULtcLni9XnVN4XBY9bHe7lTgPWAfcFGfyF4DGCRCSHCQAKaqi+2Q18Dv+W9eL4tyUeksfamt1FfyeaHyiv0hF9okI2S/cLHK79kWBgAAqMWzhCT1qUSTii4uqj0eT0KlnsPhgNPpjEs/p0JNEuVW/ayDJEwmvxmrlPxE58q1GlQ/9s2c0Lh8+XLMmzcPRUVFWLp0KWpqaka9DefPn8fp06fR29uL8+fP4/Dhwzk/x8SJE1FaWqrGsDVr1uT8HFYYLrmciMDLNWlNdfBII9U5GLxN93dH1TDHZu6TqiYE/1BNDQz2KYOIkmCX5LH0Y5YEMslqEowejyeOzKTPMwv2MpgHDGYDyUAlCWO9KKYkv+kzbQW2k+8velYPyV/5f847ug94Ou88UnmeKguHimfO/1Sas69TnUe2nf2brjUa579swT5hf/Idks+fXkxVnkvPXuL7E5+fVOA7AZXlfE8diyK2BgYGBtnCKK4NDAwMDAwE7rrrLtjtdtTX12PZsmWorq4e4kusk5VSvSQXb7J4otxPV21LBVUyNbfT6VQEIc/p8XgQDAZVcSUufKXyl4tRqsO4UIxGo2rRKYsrMg2XRRuHq2TkglMWdeRC2qqoo4T0+5S+2Gx3KksRqQSW37tcLrVwTEaoctEXCARUGjXVXVbFl+TimtfGYolOp3NI31Khx2uT5+ZxWAiPajNafujPJPtW9p30M41Go+jq6oLX61V+6QSfVV4Lgy+E7nctvdRJALAfpcJcFnFMZs2SzmfpYKwW49OnT8fMmTNx+fJl5OfnY926dWPSjkzQ1taGo0ePYtKkSbjjjjvSJmbsdjsef/zxEW5dcjA9HhgsFJlr5OXl4YUXXkBLSwvy8/NRXFyc83PkEvyNpyKoc5VtkMyWiERfssBUrkjvVLYKOmR2j7Q20q+HYySV1PxeWnwAg5YM/IwE9rJly1BfX4+2tjZMnToV8+bNi5v3WFxXHzuprOZ3fIfgfMA5xkqNzTlFzg1+vx+xWEwR0qlUxmwDf2OyJgHfOzinyXcVqbDmXCSLIVtZbEkCNdnYLcl73hs+66l8rdl2HgPITG3NtmayrbT9YABWvsvwc5nlpFulSHU032NkH2X6XiYV2Lw3RoFtYGBwo8B4XBsYGBgYGKQJqby2IqG5WOHiTv6RC3UubOQfq8/l8flvHp+LQH7HBTYXrsCgb7VUlFGNKz0X5UJTkthcWCbzZRxOX2ZT1NFqfy4MrSxFeP2SdCWoFLYqukjCn6o5mcrN/gDivcHZl9wfgEoRls8NyQjeL5kmzL4gSSJJIH4u20XSRPczlz6ovL8ffvghGhsbAQCPPfYY5syZM4Qs0H1kpV2HfJatyCK9D0fiFTMajeL06dPw+/24/fbbh9zXXFuA3Kzo7+/Hf/7nf6K/vx9OpxN33XUX1q5dm/XxGhsb8dlnnyEajeKRRx7BjBkzctjaoQiFQvjb3/6Gnp4euFwuvPjii+OiFsFYguOCJFblb0G360n02XCRDmE9lr9Tzpv62Me5QwZFrfomkb2RJMT1Arcyg4VENa0xZME/EpQc56msJbEuA+XS/kqfl0hKsh0y44pWJ8mgF+l1OBwqaM73BPYFic9EgWNZ94J9BED1s34frJ5bWeSS1yJrMKSCLMqYibc10d/fn7Auhk5SW70D8jr1YtTA0MCLfJeQYLAAGAxSJdo2HUjFvCGwDQwMxjsMcW1gYGBgYJAF+NIvFTJc7MriVNJmworMTnUOncjmIlCmlupTOc8lF+hSTUZFLBfJVNpKxR4Xp1Rpc8GYS/JaXicXdHJxm4mntVwUcoHLxX6yBSoVzXIxT5KZJITT6YTP50N+fn6cjzj7Q6qhuJCWxIFc8LJv2UbaabANJJ3oe8p7y/2Z6q33Fa1JpFpLpoS3trbirbfeUoT6pEmT8Nprr2Vzu8YUn3/+Oc6ePYtIJILS0lL85je/UdeeTLmfCWKxGPr6+uB2u7MqxnUjoKGhAR988IGyPKiursaLL76Y9fH+/d//Hd3d3QCA/Px8/P73vx+RsUKCgbV0iLhbBcnsFqy+G82CpvwtZaqQHmskItllpg6Dk/q1kaCUJDDVzFTASiJct9GS94fn4LzBY0mbJoLZQJwHXS4XfD5f2hlU9NJ2OBzw+XxDAg4kzNN5jyH4zsQ+supX+e4EDBYspnKbgUo5B6cC52wqs2Xfp9tun8+nvPyTqal1oYJ8J5HvNQxu6Cp/3tNEpLV8J5PPjRQsZAp5Xxj8ynW9AAMDA4PhwliFGBgYGBgYZAFpfyFf/LnI5AJD9ySmPUc6ZLZUVEvIhaP8DBhUAOufy0UiLUQIKool8c5FHRdm9NtMV+GUCbhAlkrkdIo6SuiWIlIxRhJZV6kDUAqsUCgU5w3NvqDSGhjsd4/Ho/yruWCkcpoqOhLHJCm4aObClecEBosmSlsSEu5U6rFNVIrpfcWFMa1IZFq71+vFhAkT4vorXdsDWfyRz5UeLPF6vcp7U0/bjsViqv8lQZZI9ZgK9fX16jj06vzhhx9w6tQp2Gw2bN68GdOmTcvomBKxWAwff/wxrly5AgDDPl62aGxsREtLC2pqaobcu1ygvLxc2Qs4nU7cfvvtwzqeJGBGy67FZrMpP3UDpPw9WX03WqS1VQB1JCGV5HLuy0bpbbU9SUIGIK0ypbivXpSWwSJJUMqAKI/BGhYE/01rJgY3STYSsuBkNBqF1+tVgb10527WhNDtqzhHZfsOoGcSSfAzfi6LYPJ9i0FKAGkHFVlQUj6D6RaU5RwLQNmayPc2Eusy407Ov7qSWdq4AYMZUtLCRBZ2ZnYTr4HXzeebVmd+vz/rzDj2LYMkDFqkU/DSwMDAYLRgFNcGBgYGBgY5hFTSyClWJ2B1RbYkJ60IbYlUqa5WqmC9fboXsm51Ire3giS5pV0Kv8sFpPobQELy2QpysSsVyjyObDvJVenvLNVmHo/Hsr+5yKMdCDC0f0kaRKNRS2Uo7xUVaFJRRnU1/+hksTyW3ldUV3Ifp9OJ8+fP4+uvv0ZxcTEee+wx5OfnW/Yd+0R6m5LAlp6wUg1OexIAQ+w7IpGI8mvlNrpFQbqE0meffYZz584pxfW2bdvwn//5n4oMKisrw29+85uUx0mEjo4O/O1vf1OBncrKSrzyyitZHy8bnD9/Hp9//jn8fj/y8/PxyiuvoKioKOfn8fl8uHDhAkpKSjBlypRhHev06dPYs2cPAOCee+7BsmXL4r6/du0avv76a3g8HjzyyCMoLCwc1vkMbh5Eo1H8+OOPaGlpwcqVK1FVVaW+S6Ygl5BjCxWt0pqDxB8/y3b5myzTKdV+VtYjcoylkla2lxk/HHd5LPpV6/OKnJNoYUViM11rDEmu66R/tplXDOqmG6zU50HamvGzRLYdOqiW5vYMvlqprfV3MmnhJbPSdEssmS3G+0zSmfvKQDowlNCWYBAYGLjXvPZwODwkMMz7TTU+3yGG8w4mhRiGwDYwMBgvMIprAwMDAwODHEKmoHLxQyJbJ05JxBL6wolKWgBDiGwqWK1UR1QFy6KNklRmgR4SrHKB73K51IJYLljYNqkmSqbWk2S21R+5TSLoxYzSLerIa9JVzvo9kem7JAeoHqa6S5IdOqT/NRVqUpEWCATUwjsUCilCQV5zXl4evF4vfD6fItClmo5EPQlwLn7lYjxRX0mEQiFMnz4dr7/+ekrChWQJn0O9EBivXar4pBpbL3jJ51y2idYoPKYe5JEerxKPPvoopk+fDp/PhyVLlgxpe7rp34lACx3CityXasqRQG1trSKOgsEgGhsbMX/+/Jyfx+v1YtGiRTk51sKFC1UbdZIjEong/fffR39/PwBg586deOmll3Jy3psR2aiCJdIle7NFpu3T7R907N+/H0eOHEE4HMaVK1ewY8cOFdhI5zqoSiXkuWRfyIKyViAxaWXhwOPI4LJVFkmiY3NfHfI8bJ9srxwj5TnYRs5xkmykUpvttCpObAWSsDJjS14ri0lazWPJjikVw/q8JK1H5LsOr5nvIJz3ZAHKdMCAAI8fDocTWn4kUlMzO4pzmpUtmRURTQJa3uN0PKllYIL2HaFQyJKQlu8gbDsV21ZFp9OBVGDLgEOm1jAGBgYGuYQhrg0MDAwMDEYIXADR1oELOC54pK2EVADrip5EZLb0TpTKZ2CQoNYtLQhJYHNxxfZxccX/SwKbRC5JVemLze8lcSVTqKkA5uJeKrmSEdv8wxRZno++l9LOgov6RAtr3VJEqqWAAfsJKxKVx9aPKYMEsp+5kA2HwyqNV/ZnonbpqmlJAvM+kNSUJLdOhrtcLksiQvdfTUQMycJf9CRlX/B73iP2PwMC9E2XactSkc1nXBIyEm63Gz6fz7JteXl5Q2wt1q9fjwMHDsDj8eDxxx+3PGa6KCgowIYNG7B//34UFxfj0UcftWzDSFoe1NTU4MKFC8qmprKycsTOlUskUuXJOgAA0NvbO1pNuiEx3IDISJHWUr2b5IpPvQABAABJREFUCnJskXYaVmhsbFRjQywWQ1dXlyKu0yHJ9TGN4we/k9/rx2JAjbYYUukqiUy3262UyHJsTdQOCW5P8pOkstX2env1MZL9KBXZMqDMwBuvieN0MhKTc7NOkFP1zHmNn1kFxBMdV2YT6aQ1+0I+Kx6PR40X/J7zD63D0lX/yncB/lsGJkiY8x3CKruNxwGg3pM4F8r3DrmtLMTMdxf+dtIlffmuJzOTeK8TvYPwuriPDKZnA31uNwS2gYHBWMJYhRgYGBgYGIwiuEiUBRD5uU5iJzsGF3JcyCRSZttsNrXoSKbCIZEuSQ8utKis1QtJcaHLBa6VJUcyaw9JYFv90b8DrFXa+oIum3RmLjg7OjoQiURQUlKi7gMXbMmUXjIdmP3MNGVZdDEWi1kWyJJFGam0kkSxvo9UXydqm1WKshVkoU4rsM9l4UeZii/VZpKsABC3YGdaMwCVym4FKr14DcPFSCtQRwJ1dXVoaGjAggULbhjiOhk+++wzXLx4EbFYDOvWrcPChQvx3//93+js7ERFRQWeffZZk44+zpGJ0prbktyUcwvHNypfz549i927dyMSiaCgoAA7duzIqigqx85E7ZRkNLeV84qsGwAMZpXIsVcS2/pYlsr+iHOyTnozICnH4GzGPf1dgnO/XmtDbsd5n+fjnGNlrSFtM7hPIvKa9lByDpPnZt/Kz91udxwBL32hpXVJOiSwnPvkfeA7lnw/SrS/br8ls7z0/Ug0y6CEHlRPF7xeBkskGQ0MZgZYQVqH8BpyVZdEkvKS1G5paUFHRwdqampMzQEDA4MRgyGuDQwMDAwMxghcWHCxJglCaXGRaIElva7l8eQfAHGLWC76Ei18SHLL1wOS3VQAcdEoU5blQlMu+tIlsdPtr0TEdqJUbHn9qZTdhw4dwrfffotYLIZFixZh48aNcWrRdNJ82X/SfoQLPEki60S0XLDz/1Tky/PLe0dygGD7gEFySKbpUzloRWbzPDr5kgi8/3w+uWCXqcssfMnnzkqlmAo3IulsMBSxWAydnZ1wOp0oKirCjz/+iAMHDqiMkYcffhiLFy8e62YaDBNyrrHCxYsX8dlnnyEWi2HevHnYuHEjAKC1tRXXr1/H9OnTld1PKqJcfp/KvkdabjCQSCKWRGAsNmDVZLPZlN1GKBSKs2TSiysmCsTRdovjOOcNOSda9ZnVNbHNMktLV2br0LdJ1VccuxlkoAWJz+eDw+HAW2+9hfb2dpSWluLVV19V84TusS3fCaysVEgcMxjMeyBJa93HmfMcg9HcTg/y697U7Afp/5zMSkrPwGJbeSx9X6v3N12NnSmofOfzIv28ZQZVsncR6ZFNm5VsCzdaQRLYZ86cUUGnwsJCvPnmm8O26zIwMDCwgrEKMTAwMDAwGCNIcloumvidlQWHJLG5sJLWGMlsRkgwktDUldlsj9frjSOwpeKICiSqeLg4Zwo1F0fyungMEgepCPlk/ZVMIUV1s1zcynRdLiwTWZbs27dPpZifOnUK999//xA1OfsukTLebrfD4/Eof2vaSnChKb2vJXnNFGaC/chjsN1+vz9O4UxlNq9ZFijTyWgZbNAh1ZBOp3OIvYNVfwODhRuZai9TpOV5kvmhJwJToOmNPFz09vaivr4ekyZNuqFVzGfOnMGlS5ewYMECzJgxY6ybkxZsNhsmTpyY8DuDkQEJyXSCUblAqiDTnj171Bh77tw5rF27FgUFBSgvL0d5eXnctqm0VfJ73UJBD3hx7pEWRSSoOS7yc34mPaelRQePQzgcDkvSWiqoOXdyPmf7PB5PHNGoX5Pcl1YjLNpLX2MAKtjNfRLZLOnfyblREr7SDubw4cNobGxU5/z555+xZs0aNa/4/X54PJ64601kDQJABXZlMUHOGzppLe8L9+ecqttgcV7muxBVyzynlRpY96vmvC4ztkiyyzZJCxN+JwtwZwNJWtMSTAoCpMqZ1mTcVn/2pUc239FoHZJt+wgZ5Dh69Kh6Vnw+H5qamm6YOcnAwODGgiGuDQwMDAwMxgFkCixJbC6MuGgmkSyLOzqdTrWA0QkgLkh1MltaOfAcPI/8I1Ve3BZAnGJKktVW3sZsAxfyXPRJRVA2JLYEr0mqnGSBTFlQ0kpxzr7Iz89X/rtsjyR8JCkgCWCr9GNd2cwFLslYktdykaxbnsiihvyb96Svrw9vv/02rl+/Drvdjueffx4lJSWqrSSUaQMiC4TqhRL1AouZklySCNLJEXnvk1mRyP6VAYZE+2SqxO7v78dbb72F/v5+uFwubNq0CbNmzUp7//GCc+fOYffu3QgEAqirq8Nzzz13Q5Lwy5Ytw/nz59HZ2Yny8nIsWLBgrJs0bOjk6XiAJFuHA71IYHt7O3744QcUFxcrElOS5B6Px9IL2+v1orOzU/0/2wJyOpjdkYy45XYcB3XSWhKnPBZrOujENosUAvFBOVk/gfMyFcNsE4O+tHuSwWmSjNIWgsUBeS5JnnPe4fsCjyHneD1LSULOOXzPkAFxID5gzL7h3MX7x9oQsr/YRtpV8FmU9iFUqnPOtCKtpT2J7k3NuVNadfAdioQuFcoyAMxngNsl823m+eQ5dDJ5uGpm/R0mmZ83+4rEPclp+U7DeVdah/A+8fnLtL18VuQzO3XqVFy7dk35hycKThoYGBgMF4a4NjAwMDAwGGfQSWypHpbqWqYNU62bToqmVDhJiw9pL6KT2Vw8cbEiVeGyQCBTsLlQTUSk55rEZt8kKnrI8/HauMjS/SdfeOEFfPjhhwgEAnj44YdTtkGquK3IXt4bKqXl+bhgj0ajcUpxnfyiep2py1SONTY2or29XfXdDz/8gE2bNsWRE7LwFf/WSXuSHuzzVCpHHXrxKH4mr1svMKaTYHJfwuFwoLOzE16v15LcytQ+pKGhQZFHfr8fJ06cuCGJ68uXL6u+CwQCaGlpGdfEdSwWw4EDB1BbW4vp06fj4YcfVuTe9u3bMzpWIBDAlStXMHHixHFFkMRiMXz++ee4cOEC3G43nnvuubgg0lgj09+0FeTvNRQK4e9//zv6+vpgt9vR3d2NzZs3x42DiQo4PvHEE/joo4/g8/niMlqyhQzCyTEhUWCLxY1lNlAoFMKBAwdw/PhxVFRUYOvWrerYHHN1r2jdeoP/5vWQ2KVdBr+XtiNSlcwAsCSpqabl+C3JSt2uSxZspqKdBHqiwAXndnk9VEHL+WzRokWoq6tDc3MzysvLsWzZMrUN5yuZgSOPH4vFVLt5bM43JKNlv8oMMdlv7C8StPrcTBJdt+6g6pi2XfycBH+qdw3ZHr4PsZ1WaudswCAH36PYr6ne55jdxYw3K/sQ+QwDgzY56RZu1O1QdKxbtw4FBQW4du0aVq9ejaKioix6wMDAwCA1DHFtYGBgYGAwjmGzDRSScjqdQ4oF6WorqmlTFXeUahxp8WFV3E/3y5aQi2Wqflwul0ofTlbMMFckNlW5eoqx1fmsbFmksmnChAl49dVXEQgE4PV64/xMJUhI8/zSjoT9Jol/STBYEdy0BAGg0sF1lRtVflRm5efnqzbk5eUhPz/fkqDSFcu9vb1xyjZpEcLj6d6kycD9SAZJf1A+V/qx9P/r7Q6FQvjzn/+M7u5u5OXlYdu2bYqoTFbUsaOjA729vaiurh5CdpeXlys1qMvlwvTp09O6vvGGhQsXora2Vj3z4/06Ll26hCNHjiAYDKK2thbl5eVYvnx5xscJBAL405/+hP7+ftjt9qwU86dOncKlS5ewcOFC1NTUIBaLoampCU6nc4hNRSa4du0aLly4AL/fD7/fj2+//RZPP/00gIHf1yeffIKGhgZUV1fjiSeesFRR3khe7v39/XFj/7Vr1+ICZDJ7Q0dxcTFefvnlYbeBCmGn0xmnQib0vvR6vYogJDieXrt2DYcPH4bf70dfXx/27NmD+++/X6mdmUVEUlASxcDg+MVaE1QQ0xZKfs9xVy+uy3mJ7eMzIn2fOV/p9RFkMT+Z2aLPNTyPJKo5F9JqxKrv7HY7XnjhhTjrLavr10HyVVpqMHjKdwuO0/S/l3M+SW9eS6qCnbw+XoO032KBaavCyInaLu1ASLQDSIvwTheczyXxzoyFdI7P90Pa1VjZh0jrEPqt85nJy8vD0aNHEQqFsGLFCmX5wne6RGOSzBS75557ht0PBgYGBqlgiGsDAwMDA4MbBCRMpRKbC3YuRrnw4SIuWUFEWUhPt/jgMfV0VS5qqAriZ8Dggp3H5WI61UIxWxKbi3QqfNNFIlsWkthcVJN8ldcKII7IZ9qtTvLzOmTaNEFCX9phkPiR3tJyP6nEjkajmDRpElasWIFjx46hsrIy5eLR5/Phr3/9K/x+PwoKCrBjxw7VDwDiVGm0JOHCPxWJLUksWpkweCHh9Xrh9/tTEnT19fXo6OiIU5M//vjjcefSUVtbi6+//hqxWEyRY3a7Hb/88gtOnjyJmTNn4plnnsGJEydQXV19wxYCrK6uxvbt29Hc3IypU6eiuLh4rJuUFH19fer5CYfD6Onpyeo4jY2N8Pl8ivA7evRoRsT1mTNnsGfPHgQCAVy4cAFbt27FDz/8gIaGBgDAihUrsHr16qzapo89Mmhy6tQpXLhwAeFwGBcvXsSJEydwxx13DDlGouea49B4QlFREYqLi5V69c4771TjXjLSOldgMCwRecixVR8/GWTjuMdgIW0ugIH+7u3tVUE4zmncz6qwLTDoiy3tvHh8qaIFoBSvnIOoBObvhApl9iltp8LhcJxim9fFOdCq70lgstYB5yOS0HofJepvvguQVLUqHqxD2qsQbIsMmP73f/83WltbYbPZ8OKLL2Ly5MlxlhYs/JsMkoTXM4CkTQnn+GSBegYL+L5FpbHe98MF+4cBGACqCGWm50llH8L3K9rWUAzx9ttvo76+HtFoFCdPnsRrr702xC9dgu9E421MMjAwuPlhiGsDAwMDA4MbDDrRq6fHclFGL0ogMflLNU4yiw/93JL05SKc0G0zpJooHZWSvDZgsHiSFYkti0ZmC3k90vtSpnrLxbmuRpbtovKJ/cAFul7okL6d3IfWGTppTvLEigCPxWJYvXp12mTb0aNH0dXVpRbLx48fx9KlS5XnKNsFDKaoA4PqMllkLJECn8dIpLSWBcisvgcGnseCgoI4tVhhYaH6PhGJfujQIUWU9/b2or29HYFAAPv27UMgEEBbWxsKCwuxcePGtPprPKOsrAxlZWVj3Yy0MHfuXPz444/w+XxwOBxZqa0BYOLEieqZdDqdqK6uzmj/q1evxlmsNDU1obGxUT0zR48ezZq4rqysxO23345Tp06hsLAQ69evV99Jda60gUiFnp4evPPOO/D7/ZgyZQqefvrpnCg8EyEcDqO7uxvFxcUpx9O8vDxs374dly9fRn5+PqqqquKCVyMJksfMntD7k3MZsy+mTZsGAGp+I2Q7p0+fjoqKCrS1tcFut+Oee+5RymoG4uQ8JIPEwGDmE4N8bBvJRBmUpIKXYyQA5UnN9nOOYSBQ/lsnDKXftQwKkmxmhoksKkzw/SCVlYz0gwagiuXqpLVej8EKOlne2NiI5uZm9Tvcs2cPnnvuubi26vZZ8lhyzmabACiFugzOkrhnoWgZmOdvk0EHmUXE+5LL3x/nYSqmmXVFYUK2SGUfwu8ZYGlublZ919PTo54TeY/4/1xZoxgYGBhkA0NcGxgYGBgY3MCQiy8ufkkocxHERRhJFFnckWoyLvgDgUDaizQuzKkatiIz6WkpF5byTyI1OMHtpFUKF10AUqYPZwLpF87zyXPxfE6ncwhhLz08SWDLApr0FJeep3qKu/QOZwAgEAjA4/EoIp/kh+6HnYp88Hg86txM8yWsrDqk4kwqsNIhpqSfJhfk+r6JiI1oNIrJkydj1apVaavJASjiiecoKipCS0tLXKp4e3t7yuMY5BZutxuvvfYaenp6UFBQkDUpM2HCBGzevBmHDx9GVVUVVq5cmdH+ixYtwpkzZxSRN2vWLBw8eFB939/fj3//93/H008/jYqKiozbd//99+P+++8f8vnixYtx4sQJ9PT0oLCwEEuXLk3rePv370dXVxeAAdK9vr4eM2fOzLhd6aC3txd/+ctfEIlE4HQ68fLLLyvbi0RwOBxK8Z4LD+10YeWlTJBMPnXqFPbs2YNYLIaSkhK89NJL6vtEKtJt27bF2VtJdTPHMFmUT56TKl+S1XKMlXMbxyIrqw8AcSQqx1/OFVbWETK7SiqbpSUJg45sJ4tT6vOaFWStArZJP78Er9vqPUAGZSU8Hk9cX5J0TeTvLG2+2Ee0AGHf852C6nAJWfOC868ssszrYmFjYCBbKdekNedIPiO05dDbmw2S2Yfw3LwPU6ZMwYULF9RvRdqP8Znh+5chrA0MDMYStthovm0YGBgYGBgYjBhisRh8Pp9a5MoFniSqpQpYktgA1GIumT91IiRbEHPRw4JResGjTMhseoFKn07p7T3cBZa+0JPKdWDQHgTAEALb6pplfzBQAMT7Y+vbAcDf//53tLa2wm63Y/v27WphSULB5/MphVgqQjkSieCzzz5DQ0MDampqsHHjxpQBA7ZJb5dU2lHNl0iBzXuUTIWXC4TDYezbtw8dHR1Ys2YNqqur4fP58Oc//1kFcV544YVxVdRvPKKxsRENDQ2YNWvWDaPqThednZ1obm7GlClTUFRUhPb2duzZswdXr15Vv5/y8nLs2LEj5+emEjVd7N69G8ePH1c+v8888wymTp2a83YBA1Y833//PYCB3+v69euzVsZng8bGRnz00UeIRCK4++670zp3sjHvT3/6E1paWgAMkLjbtm2L8zDX7aYSHY/Ete5HrdtHMNBHSDW1npWk201I+wp6WVOJy/nZKguKWUF6f1jZWUhldSLyXoe8BtnOdPeXSBVcPXr0KH766SeUlZXhiSeeQEFBgeovnQiX2Uh6LQ++F0irFb34J+dzGcQH4gMhMkOMyuhUgZx0weeBv2veZ7/fn3MrEkLarumIRqMqoLdw4cK4gqDMfDO2IAYGBuMBhrg2MDAwMDC4iSCVPIRebEd6X8tUW5meS2VipgpJKw9sfbErFWe6N3Q6ZDaJArnwk2nY6ZDY3d3dOHDgAPLz87F27dq465T2JtJzezjEK/0leVyCi0qSE36/H5cuXUJ9fT2OHz+uyIm5c+fi6aefVtdGlR0DFDqGU+yNii2Zij2ayGWhumAwiLa2NpSWluaMfLhZcenSJXzyySfw+/3wer148cUXUVpaOtbNGlH09/fjj3/8o7IqGCniOlP4/X6899576O7uxty5c7Fhw4aUAblkhUslent7EQ6HUVJSAgA4ceIE9uzZozJNNm3ahLlz56bd1r179+LkyZMoKirCs88+i4KCgrT3BYD/+I//QGdnJ4ABYve3v/1tQsVtMpw5cwZnz55FX18fmpqaEI1G4fV68frrr8f99qWvP0G7JgBqHpS2H4ROcMv92H4SfdLiSm4vv6c9BIvnUbXM7B1daU3SlW2gFQSDc1YZSMmISysSn1lF/IzEuz4uSzsNp9MZ5y+dDmR7aYcCxBedlufjeRIRqTLozgC+DMDye2ap8TPOyVLtLi1Y+BwNF8yiIqHO9yK+b+Qye0zWz0iH6uH7Fd93jJe1gYHBeIOxCjEwMDAwMLiJ4HQ6lZ+sLMwjfamZHsuUWC5+JYnNQlPcJt0FDM/Fhb8VgS2LAyUqACnTk3kMmb4qiY1kdiJWJHY0GsV//ud/oqurC3a7HU1NTdi6deuQ83KxrxNGtGDhdjwP1Xm6wlqmBnOhz2PKApl5eXk4ePAgfvrppzgCwGazwev1qoWvTqTogQHd3iNTcB+qpKXnuFT66V6vmSBZ23KpqXC5XBn7ISdDb28vfv75Z+Tn52P58uUpC4/eSDh37pwicAOBABoaGm564jo/Px8rV67EoUOH4HA4sHHjxpwVROzq6kJTUxOmTJmScRFNj8ejLC6SQZKJ6QSYjh07hn379sFms2Hu3LnYuHEjFi9ejNbWVly4cAHz5s3DnDlz0m5nc3Mzjh8/Dr/fj/7+fnz77beqkGq6yIUFQX19PXbv3q2srmpqahCJRLB27VoUFhaqvnG73XHjMYA4my2OZ8wk0cdhPhsk+PSxUNo8SdsKEtOSAGbgkapgeR9JrEq1sp7dwwAwCV49WJ2okKS8btrDyCLP0mNbns/Kz1oWFeT8ef78ecRiMcyZMyfp70jPZCJ0azFmFVFRnahmhvTXluQ3r4X7kfx3OBxDVM58l5Db8bwyaJwN2A4ZjKDVy3B8rSX0wEYySEW1LMIsgxCpap4YGBgYjBYMcW1gYGBgYHATgYugRD6RVNPqJC8wqGii2pYKJS4IM7HikD6LOoENQC2UpO2G3NeKzOZiiv6VVJnpymz9+mRasMPhQCAQUNcciUTQ1NSkyHq5iGX/SR9TEtuSzJXnYT9y4aiT9rRzIdHOPmXBpNra2rhCiG63G5MmTbL0z+XxdaKXBAMLKmWigiMksUNfVF0BZ3VuXqu89kTtzua7sUQ0GsVf//pXdHd3w26349q1a3jyySfHulk5w+zZs3HmzBlF/lVVVY11k0YFq1atwqpVq/DDDz/gvffeg81mw2OPPaY8nLNBa2sr/v73vyMYDMLtdmP79u0jEgRIVHAwEf7xj3+o4MS5c+ewfv16uFwuPPDAA3jggQcyPr+ehZJNVsqmTZuwc+dOhMNhrFmzJiu19bVr1+KKb1ZVVeHuu++OG4tJDurqY3o/S4W1rlSVKmjOJTwu5zm/3x+n6uV8QvKPntV2u13dAypvZRFPzuFsgySsSahSFc7vGQSWpLmEzWbDqVOncOHCBSxYsACzZ89WpLUs/CuLBvI8uupZKpL5N/f/5JNPcPHiRQDA1KlTsWXLFkVuh0IhdHZ24tSpU6iqqsK8efOGFB3WITOe+F7AoDrbw/vK9pJk9vv9ivRmIIL3OJ0i1NIyg9dNW5d0i00TvCeStOacauVfngnku1o6cyez7aSAge8gsj4KgDjfdwMDA4OxhCGuDQwMDAwMbjJYqa6tINVFXPxw8U8VNtOQqRbiQjDdhZsksPUFtUyTTWchSQWaTLNNpMzmH2n5IbeZMGGCIsHnzZs3xAecJEWiPgsGg2rBadWPOnmrq7Cl2ox97XK5MHPmTHR3d6vCUm+88UbSFGJJdlgtWkOhkFKtRaNRtLS0wO12K5uAdCBtUni9PC/T3KWaneq7mw1+v18FASKRCBobG8e4RbnF7NmzsXnzZly5cgVz58696TyukyEUCuHw4cOKUPzqq6/w29/+Nuk+Z8+exZ49e5CXl4dNmzZh2rRp6rszZ87A5/MBGLAjOX/+PO66666RuwALWFnueL1e9PT0qO+PHz+On3/+GcXFxXjqqaeQn5+f0Tmqq6sxc+ZMXLp0CW63O2GALRkmT56MN998M+k2qeyD5s2bh59//lnZncyfPx9APClNeyUdbrdbjW92uz2ORCY4nnEs1T2rOe9QyUuCVBa1s9vtqlgeyWmS2RxXXC6XUswyyAkMzhEkO6XFBsdkztN6v8ViMZw7dw5ff/01AoEALl68iGeffRbV1dW4cuUKvvjiC9jtdjzxxBOoqqqKIzP1fpBKaGDo/HP16lV1LdeuXYPH44krXvm3v/0N/f39cLlcWLt2LVasWKEylkjgy7brc7EenNHnJj2ziduwzzJVTPOdwypjTX8XSgRpYaLPk+kWwrZql7R/Swe697oMRLOvSWBzDmeQRS8oamBgYDDaMMS1gYGBgYHBTQYutEKh0JDiRIm2p4JY+hr7/X5F/jLtlttIFbMkfJOdw+VyKSJcLkAjkQh8Pp8iuK2OwxRYqU7K1GaE5LLD4cBLL72Ec+fOweVyYcaMGeqYUo0nU7W5MOfilSSEJNyt+lF6d8rjsr+kqj0vLw8PPfQQysrK0NXVhTvvvDNt30tZMEz2ORVrNpsNH3zwgSJb161bhzvuuCPtY0tLEN2WhItnnutmJK2BAdKvsLBQqe7mzZs31k3KOWbMmIEZM2aMdTNGHfqYk+p3F4vF8NVXXyli8bPPPosjX6dOnar8j91uNyZPnpz7Rgv88ssvOHDgAPLy8vD4449j+vTploTW008/jc8//xyBQACrV6/G7t274ff70dPTg6+//jrjDAKbzYYnnngiZ/YqiZCKnCstLcUrr7yCpqYmTJ48WVmzcHwCBm0Z9HoLcuzUiW2Xy6XGcX2M5bwovYQ5puukNRCffcO5SGY8eTwe9T3bLI9DNawM3DIwyYCLbBswSPQ2NDSoa/P7/Whra8O0adPwwQcfoK+vDwDwwQcf4PXXXx/SXkkg83qpRNbtokpKSpTSubi4WJ3Tbrfj8uXLqj3BYBAXLlzAihUrlAKa7dX9ptkWqbgGoNoh2ysDxewbmS2WDeQ91DO69GC//v5CkluqlqVKPlMyOBMrELZXZrVJ4p0ZXewrv9+vtmUwh9sFAoGsap4YGBgY5Apm9DEwMDAwMLgJQdV1poSCJIPl4kz6XjudTpVWSgUY00u5r9U5Y7EY2tra4HA4lOJZLsCoytIJbCqz0ykWlA6ZzcXubbfdFke2UnUNDJLpXIwS9EP1eDwqNdyK5JLtsErllanfVOqxXUuXLs24QCHvjyRl5CLe5/OhqalJERw//vhj2sR1snYw9V2mU1u1BUjua30jwGaz4cUXX8S5c+fg8XiGZSVhML5Af+tvvvkGTqczLQJX/6399NNPaG9vx4oVK1BTU4ONGzfi119/xW233YapU6eOWNsjkQj279+vfttffPEFfve731n+bouLi/H8888DGPCnliAJnw3Gg5VAUVERioqK1P9J+srrkveMJJ0ktGUxRmmpQBW1PDa/45zIWgUALElrWnDEYjFFiPMzWjrphKQ8TjAYVCSsVGPrBRMlWU8sWLAAJ0+eVL7F06dPHxJU1clvAOpcUmnNPuN1yT7dsmULfvrpJ8RiMaxcuTJuvisvL1ckqNvtxm233aauUZ5Pktf02yapz/k7FXHL83Le5z2WymK96HOi4yR6tmkDI4PUPp8v7v2DmVnyGDIokQ7S8SvXYVXIku9pNpstrk3MYpPvcSTnqeSXmQj6s21gYGAwGjDEtYGBgYGBwU0IuRhOR3Wd6BiSfGVqKi0/qBiSVhxUOVuR2B9//DHOnj0LAFi7di3WrFkT5x1N6AS2PN5wr4OQynK5yJcLYirJmNotieBYLAa3262KRSUjbnSVliQIZIq6JC+yKXiYjBSWgQCbzZaRVUgqWJEIVm25kUlrwul0YtGiRer/kUgE77//PlpaWlBcXIxt27Zl/Xu71dDX14dvv/0W0WgU999/f8YFDHONefPmpa2it9lsuP/++7F3717YbDZUVVXh+++/RzgcxoULF/Cb3/wG8+fPV5YVuYTL5Rri06y3LZ3xo6KiAtOmTcPVq1eRl5eH9evXp9wnEAjg559/BgCsWLEiKz9qK2QaqCPk3KODKmEgvu4AwQAbCUG932gtopPWVKPKgo8AVHBVFrYDEFdUkNYeJLJ5Ht5PznncR6q4WYDR5/MNGUs5B0nrDInKykqlSK+urlYE/5133omjR48CANasWTNkP/YRrSJI1PO6dLjdbqxbt27I58BAxsrLL7+MCxcuYNKkSZgyZcoQizASpLxuqVLX7bd0VTmhq8Dl59LqRZ5HJ7X5mcy6SgSr9ySZ6SWznvhdKl9rktWZvgvIuhnyWCy0ncwuxW63w+PxIBwOw+/3q2eR1iHA8C1ODAwMDLKFLXYzrCIMDAwMDAwMhoCqLF3xM1zoPsa657UkheWi8n/9r/+lSNuCggL8z//5P9UiSno+WyHX1yDBRSZJ8lRqLlqxOJ1OReRnUmBJWoNYeZJygZlNUcVkaG5uxrfffouCggJs2LABXq93WMeTi/JbFbW1tdi1a5cipO6++27cc889Y92sGwJ/+tOf0NLSAmDAYuCf/umfUu4Ti8XwySef4PLlyygsLMRzzz2XsS9zLsFn/y9/+QuuXbsGYICg27Jly4jbg0icOnUK3333Hex2O5588klUV1envW8gEIhTZ9I6wIqUfuutt9Q9mzx5Ml588cXcXEAWkEWErUDCWVpdENICBIgntuXYa0Wo8zP6+3PuopUCg5OcE2SxQ6no1q9Ft5no7+9X9R8SqeGtri1T9PX1IS8vL24+oI0J1bdULac71lvNDTyOy+WKs6XQ4fP51Hd8h2FxRc7TtBLRCWLe12SqbFn7AhgMRNPuSrcg4fY6qZ0IvP9UY8tnjF7XVtedzF4sGRgY1xXcui1IJkpp9i3vl/RiZ1+boo0GBgajCaO4NjAwMDAwuEmRC9W1FVjAh17VVK1xYU7FDxeeXIzJxVpBQYFSVvOYXNhaLdrkQjfXSh+Hw6E8tt1ut2qX9D+Vi3YSO6FQSLWH3qPpgP7Ybrd7iOc3F8yyyFeuUFlZqWwCcgGd0NHvH1VoydShuUZnZyf6+vpQVVU1KsWkdP9To0JLH729verfUl2aDPX19bh06RICgQD8fj8OHDiAhx9+eKSbmhBs79KlS9HV1aWIqZEqbGmlHAaARYsWxWUCZAI5bnV1deGdd95BOBxGRUUFtmzZEkdOXb9+Xf3uu7q6sjpfLkBi1UpVy3FaL7gIDBK9JD75WSIrDHo5kxSV2UFUV3Ms53hDX2WdVLUi+ZLVdQAGLausri+Rsj4YDOKrr75CZ2cn7rnnHtTU1CTty4KCgrh+pR0WAwMMKKdDWnPul+Q8PZNpQ0HriUTjM59xqYanXQvvFYMBJJNJsOrH1S3CJDFN+5BQKIR33nkH3d3duO2227Bp0ybVz7T+4H5WKm2p1NaDGOxTvkMAg4FyGbRPpJTXIe8/rUqsnqtEtiDpgkEZ3T6E989ms5mijQYGBqMKQ1wbGBgYGBjcxCApm+viWSz6wwUXU35lsSmpxHa73di2bRu+/PJLuFwubNy4Me54usrJCqFQSBVEzCWBTSKD9idUUtPLmj7X/f39KpWWi0xJIvX396vr1ZVZsVgMO3fuRF1dHcrKyrBlyxZ1HdIvVSKXpHW2qfiZQFcSSsW97GMi157Xp06dwjfffINYLIaJEydi+/btI64ImzdvHk6fPo2mpiaUlpbirrvuSrlPLBZTz9KtvOi/7bbbcPr0aQDArFmzLH/PBw4cwC+//KJUzDrGS6BgyZIlKC8vx/Xr11FTU5N2UdVMMRxlbTrYv38/enp6AADXrl3DlStX4op1VlZW4urVqwCAqqoqy2P09vbiypUrKC8vx6RJk0aknVRS66CNihxX5LgUjUZV0UxJABMk5OT/STLqKmxm51gRgw6HA52dnTh37hwmTpyIadOmxSmjSShaPb/JVORWNQx07N69G2fPnkU0GsVnn32G1157LY6cTgTOQexbqa5NB+x7+YxKYpM1JBgESHR9JJNl/QS+a5D0JmHLgHOiwIAsyszjS1VzLBbDnj17cO3aNcRiMZw6dQq333573DOvBxZ0hTaPw/mV95nXIvvQ4/Go82cS0OVzyGdR96+WbUvHFiRdWNmHMLjPbIJUwRcDAwODXMAQ1wYGBgYGBjcxRkp1LY/NolQulyvOy5nkLzCwACorK8P27duzPh8Xf1T85GJhRjgcDlX8iotNAMrPURYycjqdiEQicenmUuUnyWounA8dOoTjx48DAK5evYq9e/diw4YNw253uhgp+xEdiexDSMZI31CdyB4ufvrpJ0U6dXV1oaurCxMnTszZ8a2Ql5eHZ555Ju3tI5EI3n77bXR1dcFut+OFF17Iqd94rtHT04Ndu3YhEAhgw4YNObW/ePDBB7Fw4UJEo1FLa4vOzk4cPXoUfr8fPp8Pu3fvxpYtWzBr1ixcunQJRUVF48qWpaqqKiGZO95BWwiSqfz96gTjM888g7q6OgCw9APv7e3Fn//8Z0Vybd68GdOnT895exOpjRPNBXLcIfkpLa04vuuBAVlckMFZzmmRSMTSLoGBqbfeegvd3d1wOp1YvXo1Vq1aBQBKua23lZk82Y6JJNQ7Ojri+sbn8yUlrhk8lVZdsrhhMkgvaJ2I9Xq9cXMh5wArwp7fybmUNiyRSAR+v1/5LbO/SawzcM726rUorP6w7Vb7WHlmW12z7iPNNnIO1ItBA1Ckcir4/X6cP38eRUVF6veTjCDWbUEysS5LBfmuFQwGVYCfwQ3eM1O00cDAYCRhiGsDAwMDA4ObHCOluiaoygkEAoogZRqrTLElYrEYfvrpJ9TV1WHevHlYuXKl5XGTKXLlQjkbxY9+XO6rW5rY7XZFwvB7bkurEBbTIuEgj00lOUlroru7O+225gojTVoD8USHJItINEmCIJekNQBMmjRJkTY2m21MvY8T4eLFi2hvb1fP7g8//IDHHntsjFuVGB9++CGam5sBAO+//z5+97vf5XQMSUb06r9R3tfHH38cwIBtxZkzZ1BRUYGpU6fmrE23GqjQpT92e3s7Ojs7sXjx4iH3x26347bbbkt4rCtXrsDv96tsi5MnT+aUuCY5m2heYCFdHS6XS6msZbCVx9TV0LRwktDnT1k4WJKgwWBQ/cY5T9XW1mLVqlWKUOR3HCOHQ1jL9gHAPffcgy+++AKxWAylpaVJg3ecu/T6Epl4WetEr5WfMrfRrS0Y+A2FQti7dy9qa2tRWVmJp556Kq6PJDFNMlieVxa65N/yj8yAktsAAwG0hoYG+P1+zJw5U1mrpGNdxO1IWuuZFvS75nObDmkdDofjgh733HNPwoKXAOJsSEayFoi0D+FzL1X2zGYw5LWBgcFIwBDXBgYGBgYGNzlGUnVNUK0XCASUnYdcNEqV09mzZ3Hw4EG1wJ84cSLmzJmjvpfkZjqQXtmJFk2pjqUTCNJHUnpt0nsTiCdpUx2/qqpKFTWz2WxKfZesLck8v3OFWCyG3t5etLa2oqmpCXPmzEFlZWVOzyHVX5mmSGeCjRs3wu12o6urC+vWrYPH4xmR8wwHUoWYl5eXVgr/WKKvr0/9myRTojT/XGPixIlYuHAhTp8+DbfbjYceekh919vbi7/85S/o7++H2+3GI488YqkANkiOzs5OnD17VmUqfPfdd3jppZeyPl55eXlcRkqu1dYs7JcIiYKdupqYYxAzP/RaC3KM4jiij13M0gkEAkOIyQkTJqgAqNPpRE1NTZw6m9km6YzvVjZPyYK6s2fPxo4dOxAIBFBaWpqUyMzWuonvE3rbrTyPOa/abDZVvDISiah5Ni8vD1evXsXx48cRCATQ39+PAwcO4N5771X7M8tKryPAY9IKJFPSlEUGf//73w/J3kqHuCbpL4s9AoMEu/RK15Govzs7O5UIIBAI4OTJk5bEtXxfGan6H1Ztpg86rduk3zx9r03RRgMDg1zDENcGBgYGBga3ABwOB/x+/4iproFB3+tgMKi8JwEov0dgYLHV0dGhCIBgMIiOjg51jOF6Hsv9SUpwQWeV8qvv6/P54lKUqRrX05jleaTiTqYGS2/P9evXIxKJoKWlBatXr8aUKVNSXoNUSCcjFbL1io5EInjnnXfQ3t6uiJ0jR47ghRdeyIk3Ldvk8/niUsZHCi6Xa8wK9dEPeObMmSgvL0+43ZQpU7B8+XKcOHEClZWVWLNmzSi2MnOsXr0aBw4cAADMmTNn1Ehr4sEHH8QDDzww5Lfa1NSkxpBAIIDa2lpDXGcBnWQc7v2dNGkSnnrqKZw4cQLTp0/PumCkDo5xyVTJ0o9aEqokfvm5PAbJPwldfRyJRJQyWUIS6Pyut7cXXq8XLpcL27dvx7Fjx1BSUoLly5ervubckoqwtgqQ6uez2sfhcKCoqAhFRUVpF1SUc7T+uX58vfgiwWeHxQet7Dn6+/uH7BeNRlVGGP/P45MM1p9LksUsCJ0tYUvlsBXpm4q4JmnNYAcA9Z6QjrKaz6r0x87Ly0NJScmQoIe+H2uJOByOuGDoaIHvegzeAIPPiynaaGBgMBKwxUZyBWFgYGBgYGAwbhAKhVQ6ZzZI5hkp07clScnFpfStbG9vx1tvvYVwOAyHw4GXXnoJRUVFubnIJCCRbbPZ8NFHH6G+vh7Tpk3Ds88+G+dpTchiS9JTldYkPp9PERr0SeVxpJcn+yfdBe1o4fLly9i5c2fcNdtsNjz00ENYunTpGLbsxkJDQwM++OAD+P1+eL1ebNu2LSl5faOhp6cHoVAIpaWl4yYN/Pr163jrrbdUoGn9+vW4/fbbx7pZOUcwGMQXX3yB1tZWrFixYkR+l4cPH8aPP/6I/Px8PPPMMyguLs75OYYLj8eTVGlN6D7UBAva6YUXgXiCMpNlsRzrm5qa8NVXX6Gvrw95eXl4/vnnUVpaqraThYyTgfNJMjuUZO1h4cnhzDMkJfU+zOY46V4Dg6hdXV1wOp34zW9+A7fbHVeMkGCAmZlkUumcCagQTmSvQQLeKpgj7VWoOE4WiJCqeZL/vMcMNjAw43Q60dPTg0OHDqmCv2wfrWiAobYrYwW+/1BVz+u0sowxMDAwyBaGuDYwMDAwMLhFQC9GppXq36UipoGh3pG6jyS3AQYWo/ri1+v1IhAIwOfzob29HWVlZSNmX5IIp06dwu7duxVxvn79eixduhRffvklzp8/j7KyMjzzzDNxdidA6kJViWCl5BoPaG1txTvvvBNH5ni9XrzwwgsoKytL6xhWqrxbCbFYDHv27MHRo0fVZw888ACWL18+hq0aRCwWw6+//opoNIo5c+bcVCq41tZWnD59GtXV1Zg7d+5YN2fYYPBLjhdfffUVjh8/jmg0Co/Hg+3bt1v+NmkrkMuibOMFJGR9Pl/S7ajytFL1ejyeIYXxSKySeOS4rAdbCSp7mVXD/f/+97+jqakpToW8cOFCbNq0Ka3rk8Xv6PecCTj3ulwupcS1gswAyiVIoOpzpZWViK4wZvtJEMsimLLYoCSuedxYLJb1807iWdqM6JAEsdW+fDeSBL1O1uvfSU9wKrXZV8mI3rGwBckUso28bv52x1tbDQwMbjwYqxADAwMDA4ObHJKAzsvLQzAYVAvIVKS0XtQokwWI3W4fojTi+dxuN6qrq0fkehOBimupfCa5funSJZw9exbBYBB+vx8HDx7EvffeG5fmnAgyVVn2ExfGulqMxR5TeT1LFaCVz+lwUV5ejjVr1uDw4cMoKirCzJkzMWfOnLRJa2Cg/3TyOlvrkhsNsVgMO3fuxOXLl9VnHo9nXBUK/PTTT3HhwgVEo1FUV1dj27Ztwz5mb28vwuEwSkpKht/AYaC8vBz33XffmLYhF4jFYvjyyy9RV1cHu92OrVu3KsV+d3e3+t3HYjH09/cP+X12dnbinXfeQSQSQVlZGbZt2zYulJjJ0NnZibq6OlRVVWHatGlx3+kEH60k5Pf6+ELS2mqMtNvtlmMtj6GroGX2jCQZuY+0i7p+/TpaW1vjyOZMvOsdDgdcLpdS/2Y7blKFnAzpeGnn5eWlXSSS7xAAlNI2HA5b2ovwnunzBOdB3j9JIlvdN+mXPRw1L68xVSBPHp/Xl6x/9PvHuZv7c76kwjoYDKr6IFa/2fFgC5IudPsQvutR1T5e221gYHBjwBDXBgYGBgYGNzAyVUrLfaT3c6akdDqQxap4XpLmY6HSZSruggULcPToUfT29qKgoAB33HEHLl++rBadMh2XYIHJvLw8VWBKkhWSXJLkBgtH6mp0Lr6TERXyO121lU0quRWWL18+bHWwfi9vBdIaANrb29HQ0KCelYKCAjz99NM5L245HFy+fFm1r7W1NaVvayocP34ce/fuhc1mw5w5c/DII4/kqqm3LEjiMvPhq6++wvbt2wEAa9euxbVr1xCLxVBaWmoZ7Pv+++/R29sLYOAe19fXD/HFHU/o6enB3/72N1VYc+PGjZg/fz6AoTYV6RQmlOpcK+I607lGZgwR+lxG6ESiw+FATU0N7rnnnoTHpzqaRGgwGEybLLZCOsFVHfoczKwnK3sQq3lKqtL1uZLvFcxokrUhCKq0A4GAZQYYzwvEZzrJf2ebPcK5OxWZyrEykW81+0Uq9WWfyqKFAJSqnuQ7VeaJrkO+hyQitscjqLIm4c6givG9NjAwGA4McW1gYGBgYDBOMRz7jmRKaS7EsvWGTBfhcDhuMUdVVrIF2GiodV0uF3bs2KHSc202G2bPno2qqiq0trbC6/Xi7rvvjttHKrSpyOOinGn8OkiUs6/lQjdT9bRU+cnFMdVbVoRDV1cX3n//ffj9fixfvhyrV6/O6Jx1dXU4evQopkyZgjVr1oyqYupGUG17PJ64Nk6ePBlVVVVj2KKhmDhxolJyFhQUDPse/vDDD4pgraurwwMPPJC0oF80GsWePXtw+vRpeL1ebN68eVwR++MBOpkjMzQqKyvxT//0T+jv78eECRMs75/X640jeEfbeilTSFuNQCCA06dP48cff0RPTw9mzZqFRx55JKk9k/4Zi+ulW8xWbuNwOFRgkWpj6dObCi6XC08//TT27t2L4uJibNiwIWn/s120mkh0jeki00wcqWbnvixAbBWsTRQgtQoGkJil3zEwqGyWtix8vllgMdl7iH4feX+yVVvzOp1OZ8L3EM7PnOsTPUsktvm8SHU+536pQiZhHo1GVV/dqLYgqcDfFn+X4XBYZaCNdoFfAwODmwOGuDYwMDAwMBgDpCKlpX9iLu07AKjFBNNWR+r6rAhbSWRbLboT2WIkWjzKNNxMIQmivLw8bNu2LSWxTkgFXjQaRX9/vyJQ5P2hh2UkElHFpriYp+KLKd7cnmqsdJCsKNSuXbvQ0dEBADh06BAWLlyYduG1trY27Nq1C36/H42NjXA6nVi5cmXK/fbt24fjx4/D4/Fgy5YtWdtJ6N6h4xGFhYV48MEHceDAAUyYMGFcqo+fffZZ/PTTT4hEImndv1TIz89HT08PAKjgTTJ88803+OWXXwAMeMZ++OGHePPNN4fdjpsJEyZMwOrVq3Ho0CHk5+cPeY5cLldSsmfdunXo6OhAe3s7Fi9erFTZ3d3dcDgcyM/PH9H2Z4rJkycrwtjtdiMYDKKlpQWxWAx1dXVYuHAhZsyYASD9AFYy5asVSAaStNbH80xQXV2NF154Ia1thzueyawpIP22hkIh9PX1qeAHg648hpXiO9EcLL2y2dfsS92fm31rs9ngdrsVqRsIBNR8lwz6+xDPle17C6/TatxKZHViBak41+cqvkPI66Wq3ul0Kg9vq2sl6W+328e1LUi6kMS93++H3+/HW2+9hY6ODpSVleHll19O+QwYGBgYAIa4NjAwMDAwyDnGkpROB5IgHSnimmprqdhiijSJWml/oad+s31EogW/VZGn4YCLqGysTKzSyaUiy+fzxVk1BIPBOP9PLnDlPT99+jT279+PoqIiPPnkkygsLEy7Pfo1XLt2TXnhPvDAAyo93wqdnZ1q/1AohGvXrqU8X2dnJ44dOwa/3w+fz4fdu3fjueeeS7u9OsYzaU0sXLgQCxcuHOtmJITL5cLatWtzdrynn34an3/+Ofx+Px566KGUQZ6rV6/G/T/TwnPDQW1tLX7++WdMnjwZDzzwwIiNdc3Nzairq8P06dMxffr0rI6xYsUKrFixIqt9XS4Xtm7dGvfZl19+iXPnzgEYKBa6aNGirI49EiguLsYLL7yAM2fOoKqqCnV1dXE+8bq9VCrowbt09wEGs4BGEomKPWYKvYhkumhra8Pf//53ZTfz4osvAhgInAYCgaQ2JZybWDiR1hdUTjMoq5O3sgij3W5XKnSqiQEkJHD18wODc+tw1NZWFiEMJPO6SDRLyP+TiNe9z/kM2e12pebmsWmPlszuQ9qCJLMPuVGRl5cHr9eLgwcPoqmpSdUWOXz4cMaZYAYGBrcmDHFtYGBgYGCQAcY7KZ0uRlJ1zQWbXoCQimNdNcYUYi6gI5GIWhhnQnTlgujMtfe2VAJaLYipWtXT3O12O65fv449e/bA7/eju7sbn3/+eUZE8MMPP4z3338foVAIixYtwt69e3H9+nUAwO7duzF37tyEC+np06cjPz8ffr8feXl5aflgJ1vwjzfU19fjs88+QzQaxb333oslS5ao72KxGK5duwa3242JEyeOYStHFz09Pfjmm28AAOvXr7dU5xcVFaVV4PHkyZM4dOhQXIFWm82W1Pu3r68PH3/8MXp6erB27dphBQTa29vx9ddfw+/3o7W1FS6Xa0QKOba1teHdd9+F3+/HkSNH8OSTT2LmzJlp7x+NRnHs2DH09PTgzjvvRFFR0bDbFAgEcO7cOWXpsn///hEnrs+ePYtLly5hwYIFaZH3ZWVl6lmorKxEQ0MD+vv7MXXqVNV/mY7/QObWGbkcoySJKee4XMwp9FrOBFSV79+/H/39/aptly9fxuzZs9XzkWhfXocskkhSNhqNKnsqq4Ax53AgXt1MkjjdYn3y3YD9mM37irQIYV9K2y9ZoyIZuJ3uXw3E+1DT39lmsyUlrKUtiNPpjCv0fDOAzz//6P17o/h2GxgYjD0McW1gYGBgYPD/cLOQ0ulAqprZ9uGCixLpE8pFLf/P7/QFjE42BAIB1a50FpPBYBBut3vc9HuydksiO1GKNq9JXg+V6skgF+Hl5eV48803Vf9Tgam3wwputxs7duxAU1MTSktL07IYmThxIhYvXoyTJ0/C7Xbj4YcfTrnPWGHXrl3o6+sDAOzduxeLFy9Wi+gPPvgAjY2NAIA1a9YMIe39fj/C4XBK9XtTUxM6OjpQU1OD/Px8xGIxHD16FE1NTbjjjjswZcqUEbiy7PHuu+8qa5m2tja8/vrrWR2no6MD3377rQp6zJo1C3PnzkVNTQ0KCgoS7vfFF18ohfaePXswY8aMpNsnQ3d3d5wvfXt7e1bHSYWGhgZF4AUCAZw/fz4t4rq/vx+XLl3CuXPncPHiRYTDYZw+fRpvvPHGsGsP6OTXSFuF1NXV4csvv1SE+XPPPZeRj3lBQQF+85vfxAU1gezU+cP1i6YKmGRipufmGMKgZK6I8UyP43K5FNlcXFwcFzzyeDxJ+5ZEsaxJwbmYqmW73Q673a62k/Od9AsHBlXTrPeQ7jwt1dv8jWWrtmYtClpzScJUZn6let+gNYr0rw6FQnGEPgsSpvKxpi0I1cjj5d1lOKDK3oqozsvLw7Jly3Du3Dm0tbWhoqICy5YtG8PWGhgY3EgwxLWBgYGBwS2BW4mUBuIXusn+zYWovKZ097X6t4ROIrAwUaJtE1mGyIWiXBxHo1GleIxGo6isrMSWLVvGxf0ZDmHB6ywpKcHMmTNx6dIlAAMp/6lg1b/sj4cffhiff/45YrEY7rnnnpTKNZfLpbxm08X69euxfv36tLePRqPw+/2jvnBPdC6/34+mpialRjx06FAccV1bW4uvv/4aADBv3jxs3LjR8ji1tbX46quvEAqFUFBQgNdeew3Hjx/H999/j1AohIsXL+Lll1/GhAkTcnxl2UMGRtIJkiRCf39/nN9rOBzG4sWLU+7HQAIwcH+CwWDWxPXUqVNRVFSEvr4+2Gy2EUtHnzZtGjweD3w+HzweD+bOnZtyH7/fjz/96U/w+XxxatxwOIze3t6sfeEJu92OzZs34+uvv4bH48GmTZuGdbxUqK+vjyPvW1pasirAOdrjtsPhiFNE0w5jOHY2MnCYCYkurTWGAyqlZabTvffei97eXrS0tGD58uWoqKhIuq8sgJiXlxc3b0srLdpfyPO53W41rzAAEAwG4XA4EAwGk6qPk10TkWlQh9fDa5Kf8//Szovve/I+SCU9r5sEOm1AqEpPRzktye0b3RZEEtVWVmmyr/g8PP/885bFrA0MDAySwRDXBgYGBgY3PNIlpQEMIaFHg5QeDhGc6t/pEMjymvR/M21WKoPkNnKRmew4hFQ/k/yjMikvL0+pnSQJrZPW0keSxYyouqLiiQukvXv3KsLr2rVraGxsxLRp05RSbKT9SzOBzWZTtiDJ/EqlAuzxxx9Hf38/nE5nxkWM9OufNWsW/uVf/kUde6xx/fp1vP322wiHw5gwYQJeeOGFYatN08Vjjz2GTz/9FJFIBPfff796zknWAAN9pJOI+/btU8/1uXPncN9991kuwk+cOKHIvGAwiGvXruHKlSuKFKMKWCeu+VsYi/szf/58nDlzBsAAKZ8tqqqqMHHiRHR1dcFms6Xtsf3AAw/go48+AjBACA+HwHU6nXjllVfQ1taGoqKirAnwVJg4cSKef/55XLx4EVOmTFGFEZOhqakJwWAwzmeZSthcWIUAA/332muv5eRYqbBgwQLU1tYqYjJbn+/RAucQktYcJ5NZZ6SCx+NBLBZTv/lkSGStkQtYHcfpdGLz5s1p78tCoLS7AAbJY85dtPqQynQrEpbvFSSvMxnXZKYWMPjuls5+DHbrfun6saS3Ne+LHjyX9iAOh0PNDyT07XY7fD4fHA5H0gDszWALYkVU69Zv7Cd9HuP1G9LawMAgGxji2sDAwMBgTBCJRHDo0CH09fVh1apVCdPuc0lKWx3b6jyJvs/23xLpkL+J/p0piZzuIs/v98PhcORE+cO0Wb1Ylk6iOp1O+P1+dc5YLAa3241AIBC3XSAQUEo4YOC5kQt/LhT5f7fbnZHiLR0rklyBCzcAGaWhZ5vqn0x9PR7wj3/8Az09PQAG+uPixYtpKVZzgalTp+LNN98c8rndbsfWrVvx7bffIj8/Hw8++GDc916vF93d3QAGAxFWmDFjhiIo8/LyUFZWhqVLl6KhoUGly+sk548//oiffvoJNpsNmzZtQk1NTY6uNj1s2LABt99+OwBkpZgl7HY7tm/fjq6uLuTn56dNVEybNg0bN25EbW0t5s2bN+xn1eFwYPLkycM6RjqYNGkSJk2alPb2ZWVlatxzOp247bbbUF1djfnz59+Q6sspU6bghRdeQHNzM6ZOnToiWQQkm/V/ZwoWFAQGidrh2otkSnpLCwwrlTXHlXA4PGpzEzBo8cE5iuQj/aBJzAJQynT+Rq1U1FQnh8PhOE9oBrFTgcQ125OsL0hWS99qffyw2Wyqz/keob+XWJ3D5XINGeelMj8Wi6X0sb5RbUGsiGqrvrXb7ZZktQQFEsbX2sDAIBvYYqM5IxoYGBgYGPw/vP/++zhz5gzC4TBKSkrw5ptvxilerJQv8m/9c2D0SORsSOPxvFDJ1HsyEViwyePxwO/3x/l8er1eBAKBuMJMVCmRxPV4PAlTtekXqava/H4/PvroI3R2dmLZsmVYuXJl1u1PhZFUcLNIYzAYVP6ko0mqjwX27duHQ4cOIRqNwu124+mnn8a0adPGullJ0d3djU8//RR+vx8PPvhgQiuVWCyG48ePo7m5GXfccYdKz29tbUVHRwemT5+uSCBgIODzhz/8QRFgEyZMwD//8z+P/AWNIzQ1NeG9996D3++H2+3GY489hjlz5sRtEwqFVIo94ff7sX//fly7dg3z5s3DypUrx/V4Cwxkh/zyyy+YPHkyli5dOu7bO5bI5bhLO4zRHFf1cTwZ8c7spHSU27lol1QUs220UKFimYWSua30cA6FQnC5XKpP+buMxWLKbojZQjwm90nk/0zwXYCqZs4T0kecpGo4HI5TUUuQkKfKXnqPy+uX94mkttvtHtKucDhsaY1ihRvNFoR9Kslq3eOc/ZUOWS2PSzslQ1wbGBhkA6O4NjAwMDAYE1y+fFkRloFAAD09PXHKUqmY5v/ld7n4t8EA7HY7QqGQUlVlC6YR6yp4/p/Hl1YM8n5wgaejp6cHTU1NqKysRGlpadx3Ho8H27Zty7rNmUAu2HKV2i2PzcWwVQFLWUhzPNmfDAd333032tvb0dzcjEWLFo170hoYKHS2ffv2lNvZbDYsXbp0yOfl5eUoLy+33F5irBb3TU1NOHnyJKZOnYoFCxaM6rmbm5sVcR8IBHDlypU44vrEiRP47rvvAACrV6/GihUrEAwG8cc//hH9/f0ABgID+fn5Sjk+XjF58mQ88sgjY92MGwLZjneyQCGR63E7HXAc5xierA3p2o0MF06nM65gIQDl1czgEBXKLpcLsVgszsOZ23EfAHF9rdtrAIM1K2j7FQ6Hk6qv5XsEiyDKzCu+P5JY1X2ppRUZr4d/S4Kb+/I7t9udsGgy28BCnsnafiPYgiQjqnnf+B0w8IxQ4JDJ9fDd0JDWBgYG2cIQ1wYGBgYGY4LbbrsNv/zyCyKRCAoKCuLUh0D8ooUvyVTokNTmdwbDAxeUXIhm06dc3FiRBTLdVye2dXW12+2OW7z39vbirbfegs/ng8vlwpNPPplxwcBcgwtX3YMzV7A6HtOyWQxrOH6s4wVOpxNPP/30WDcjDleuXMHRo0cxZcoULFu2LO3fQmNjIz766CNEIhGsXbsWd9xxR0bndTgceOihh/Dtt9/C4XDgySefzKL1w0NnZyfef/99+Hw+nD59GuFweFQJ4JkzZyI/P1/ZAy1cuDDu+/3796vn/uDBg7jrrrvQ3NwcN95EIhG0traOWpsNxg9kET0AOH/+PM6dO4eamhrMmjVrzNpFwjRR0UeZdTTSoBiA8wnJV5KsrCths9lU9hRV0tLmQs98kAFqACpjiMfS2+DxeBAKheD3+y3V14FAAP/4xz8Qi8WwYsUK9XkoFFLvKVRRS694fi5tVqSdCQlrK09rh8MRl8khvZvZP9wvUXbaeLcFSUZU817JawCyJ6sJFsjU3/ENDAwMMoEhrg0MDAwMxgSPPPIIZs2ahf7+ftx2220AoBYdfKmWBQj5wq0XgpHK7NEotHizYriqa/pYxmIx9Pb24tKlS5gwYQKmTp2qFpLcjgtN3fuaCxxJ3F69ehV+v1+RtSdPnsyIuCYhnwqZppCzjcm2z7XVB9Nt9eKWBrlBZ2cnPvroI/h8Ply4cAHRaDSONEmGzz//HL29vQAGCNaFCxfGkSDp4LbbblNjYa4Ri8Vw5coVRKNRzJgxw3JsbGlpUb+VYDCI+vr6USWuS0pK8PLLL6OhoQGVlZWYOHFi3PdyXKLKs7S0NI74czqdWLJkSdLzRCIR+Hw+5OfnJ/Tm/fDDD9Hc3IyJEydiy5YtGRdGHe+4dOkSrly5gvnz5ysbmxsdnMOAASuWnTt3wu/349SpU9i8efOYBTyl2tcK2ZLWmWbfyCArldC09yJIUAYCAWVdpdtcUHlMyy8eW393syKtZVvoHU0LMZfLpbb/05/+hObmZgADz+q2bdvijiVV61R904pE9mdeXp7KkCLxzGsgsS4V1ATfTSRpz6B8ItJ6PNqCpCKqZX/IIMBwyWoJqq3N+7iBgcFwYIhrAwMDA4Mxgc1mw/z589X/qbLlSz/TU2XBHe4n9+HffEGXn0l1thWxbTAILiSDwWDGqmsuGD0eD3p6evDnP/8Zvb29cDqduPfee+PUp7oNhr7w1hfxFRUVanHpcrkyJh9CoRDcbndcarEVZNqw7q+eLWKxmArGkDQYrrKOv4nRREtLC7788ks4HA48+uijKCkpGdXzjxY6OjrU/QmFQmhoaEibuB7v2LVrF+rq6gAMFI7cvHnzkG2mTJmiipu6XC4sWrRotJuJ4uJiFBcXW363efNmfPrpp4hGo3jkkUdgs9lQWFiI5557DocOHYLH48Hq1asTFvoFBjI4/vrXvyoF4EsvvTQkwFBbW4srV64gHA7D7/fj6NGjI+qdP9qoq6vDF198gUAggGPHjuHFF18cYsGUDOfPn8fu3bths9nw6KOPjighnEmAThYLbGhoiLOdqa+vHzPiOhnBnK31UzZ2VexLvlsFAoE41TXfv2QhPt3mgvtZ2WRQuS0ttVJBqq+ZVRWJRNDV1aWO097ebmkFwnZFIhGl8JbXyoKQ8rkgcUuSPBAIKBJXgkSutAQJBALK6kRiPNmCWBHVVKKzADefA2l9AuSWrCbYDqO2NjAwGC4McW1gYGBgMC7A9Eumj7IID5VB0ieZih6+kAOD5LX8XCe5md5qRWrr/74VIVNpM1Fds1p8NBpFW1sbgsGgUnKdPHnS0jZBFliSymt9QT5x4kQ888wzync3GzItE89QuTjOhapZBl1ydczRRCwWw/vvv6/UxO+//z5ef/31MW7VyGDKlCnweDyIxWJwOByWHtWJ8NhjjymrkDVr1mSsth4uYrEY9u3bh4sXL2LBggVYtWpV3PcXLlxQv4PLly+rMVCisLAQL7/8Murr61FeXo7KyspRa386qKystHz2Kisr8fjjj6d1jMOHD6O7uxvAQFHHs2fPKlW5VMamU9z3RsWvv/6qnoVAIICmpqaMiOtdu3YpT/HPP/8cv/vd70akncnGykTf8bOZM2fC6/UqMrSsrCwnbbIqDpoKOjFNAjEQCGRMWnOetSKtU80tnF8ZnNZVwXl5eUoxzMKE+jtUMBiM8z+2Ogf9qNP1MyZ5Dgz6ZE+aNAmNjY2w2WyYPHmyImAZWGaWhczC4/e0CZFBYu5Dn2VJ3EtlOMlcKsZJQrNd8rp1W5CxKDyYLlHNbfkePJJktUQwGEyqvDcwMDBIF4a4NjAwMDAYN+AChko3WbFdksusUE9SUCp8qHCVL/Ry0SN9soHBwj1ywQIMkrg6sc223IzgIi4T1TUXQlwQl5SUqH5yOp2WKjd9IQUMLu6tFuTTp0/HlClTLI+TilSS22RKGo8EYXUjkmCSAMi1t3ZLSwsuX76MadOmjTlR6vF48Oqrr+LKlSsoKyvLiOyqrq4eMQIvHRw/fhxHjx5FKBTC9evXUVFRgZqaGvV9UVERfD4fYrEYCgoKEv62i4qKsHjx4tFq9qijoKBAkV4OhwP5+fmIxWLYvXs3zp07B4/Hg2eeeQZTpkxBa2srSkpKcOedd451s9NCMBhMqwDa/PnzUVdXh0AgALfbjerq6ozOI8ewkSwUm2is7OzsxK5duxCJRPDII49g0qRJQ7YpKyvD9u3bsXPnTnR3d+Obb75BZ2cnSkpKsH//fuWvn8lv/Pjx49i7dy+AgcKyd911l+V2ute2BAPD2WTe0NPZConmNt0qKxKJwG63x9lEsK0UBJCE1cF3rUTf8Zp4jHQRiUSGBJe3bNmCM2fOIC8vD4sWLVIKaVqNSYU13/ukTQj7g+80UlFNAp7vm9KDnKppBu95vyKRSJw1yljZgmRCVMvtpUXbSJPVBJ+n4RT8NjAwMCBssRtxBWVgYGBgcNODixOqZJK9YOtqbKaDyor3AOKIbElmyz/yeNJ+hP8Gbm5fbSqR2O/JtqPaSKo3Y7EY+vr68NNPP6GkpAR33HFHVn2Sqed0umDgQ3pejiT5cjPg22+/xcmTJwEAq1atypltQnNzM9599134/X54PB5s3boVkydPzsmxAcDn8+Hjjz/G9evXsWbNmpuakN27dy9++uknAAPj00MPPRSnGPf5fNi/fz+i0SjWrVuHgoKCsWrqmCIajWLXrl24cuUK5s2bh/vvvx8tLS3qOQSA2bNn45lnnhnjlqaPWCyGDz/8EI2NjbDb7XjuuedSErINDQ1obGzE7Nmzh3iJp8Lp06fxzTffAAAeeuihOMuv0cB//Md/oLOzE8BAoOXNN9+03C4UCuEPf/iDuq/5+flxhW3Ly8uxY8eOtM/7v//3/1ZKc4/Hg3/9138dMrfR9iLXc1c21iAS0h6DBC8JT5KgDOhIwQDBfrNSFfM7t9utCOFU7w/AQEBUL+Rs1W5afkQikSGEtCSzJUhKW9l6kHB2u92qHfRhJsHt8/mUvYUsIDnatiDJiGopxND3oeJcktVs62i8o6b7HmlgYGCQLsxIYmBgYGAwLmG32+HxeFQ6rSzcoyORGlsWHuJLvqycLhcFXGzqZLae5qiT2VSVJLIgudF8tZOprnXPcT1t1+l0IhqNory8HA899BAikYgiiTNZdEtVPJVU+vdUeBM8d6rz6MWoDGmdGuvXr8eyZcuQl5eHoqKitPeLxWKoq6tDMBjE/Pnzh/iIXrp0SZFIfr8fFy5cyClx/eWXX+Ly5csABsj3GTNmZNT+Gwl33HEHTp8+rX5z8+bNi/ve6/Xi4YcfHqPWjR/k5eXhscceG/KZxI0wTks0NjbGeTp/9913ePbZZ5PuM2XKFMsslnSwcOFCLFiwAMDY9JUcv/XAqQSJSL/fD5vNhgkTJijCG8i8KKJeHFRmcVHV7Pf71byoq6CHYxOVLWkts5/kvzmvst0s1GjVxmS+1vI79gmFA1YgoZqoYLIUKpAglvO8LBCpW4Xweq3ayXNLqxfpfy0JeXn9gUAgTtE90rYgViKMZIpqfb+xUFZbge/F46FApYGBwc0BQ1wbGBgYGIxbJPK9Tmc/LjLlQoCLIKnG5oJAbmtFZlupsxMpXSSxbeWrnYjYHi+QXtdUZHFBRAWUXPixcCK3lz7kLNjk8XjU9qkgF+lWC3+eR9+HiihDRuceEyZMyHifL7/8EmfOnEE0GsWRI0fw8ssvxz3n06dPh8fjUUq+XBdP6+vrU/+22Wzw+/03LXE9YcIEvP766+jq6kJpaemQIIFBYpSXl+P222/HyZMn4fV6sWTJEvT39yM/P3+sm5YWpN8ySbiRxljOV8uXL8ehQ4cAAEuWLEka0N62bRv27dsHt9uN+++/Hz///DOOHj2KvLw8bNy4MaPzPvXUU6o46JNPPgnAWgmtE8BWvumjAb5X6OSunIf5rLAuBTBYs4L7kKy1Ui+T2OU7FDOYrN6NEhHWFAiQ8JeKcF4H3yVIaOvHJrmbzHtcvqsks/ng8RjYsNvt8Pv9WduCdHZ2orGxEdOmTRtSeFa+nzLwng5RLfcdL2S1bFcoFEoqNjEwMDDIFMYqxMDAwMDghgBJZ6s01kxAYlOSq5LETkZGyz8ALInsVIsMK/sR3VdbJ7aB0SUK9EUmF60yLVYWN2IhIyqv6HlNH1kuhIeT6pwO2F8k2G9UAns4yrzxhH/7t39T5LHX68U///M/DyEWGhoacOHCBdTU1GDq1Kk5PX9DQwM+/PBDAAMe1E8//bRZSKcJSbrdKggGg/jzn/8Mn8+HvLw8bNmyZcx919PFjz/+iCNHjqCkpARPPfWUsjm4WdHd3Y1YLJZRQI2EJOeHbJ5t6Y8u7TXG03gt64KQfOXzQIKaqmvONX6/X2UtcR8Gv8LhcJy/MxA//0uCMhQKIRQKqaAPrTms5n5pzaHbjjGTS1df63C5XIr41YtJSnB/EvnJbD5oU6dnk2VjC9Lc3Iw///nP6t31tddeQ2lpqSVRncj6Q2I82ICkAgMPye6HgYGBQaYwxLWBgYGBwQ2DTHyv04UksaU3diJVNZA7Mru1tRW9vb2YNm1anKfzSPlqc8qXU7/8TCp/CEme69tmA7bdShktCVsuGK1w8uRJ7Nu3Dw6HA5s3b7Ykl7gY5DWNBkaDnL+R8MEHH+DSpUuIRqMoKSnB66+/PuoL2VAohEAgkLQgoUE8jh49igMHDsBms+HRRx/F7Nmzx7pJo4Jff/0Vn376qQrYzZ8/XylrRwrBYBCXL19GcXExKioqRvRctyq6urrw7rvvIhAIYN68eXj44YezHgtk4FZ+lovldC6OQ8V9IBBQRDT9m0m46/ZnVCKTaPT5fIqY5zuRtN/QfaLlsQKBgDoWM9Z0SMKaAXJeO63KOHdL9bXe51RqJ/LeltcnLVH060+2vVUhSx1SlKC/v+3duxcHDx5U265fvx4rVqxIm6iWxx/PZDXBIMhoFqw0MDC4NWCsQgwMDAwMbhgwDZKqoVykIkova6nG5sLMSo0tVdESeiEdKoisyOxffvkFX331FaLRKCZOnIg33nhDLdb4NyEXQkzD5Pkkkqm9U20nFZZSiSXVafL62T9c1LIoUyQSgcfjGaKyomIJgFrQ6otb/Zq5aIxGo8rnMhQK4dtvv1V+rp988gneeOMNy+uRnuVcgCdTYQ/XaiTXpHUsFkNtbS1aW1tx++23Z1xEbazx5JNP4siRIwgEAli+fPmYLLCdTmecbUZnZyf279+PwsJC3Hfffbfs4joWi6G1tRV2uz2ukF80GsWBAwfU7+urr766ZYjr4uJi5VfscDgwadKkET1fOBzGW2+9hZ6eHtjtdqxfv/6mKyDq8/nw448/wm63Y9WqVUmtHIjr16/DZrMNsVXIFt988w2uX78OADh37hzuuOOOnCrpx5MGjEpo3a6E87LVOwutvDg+y/cPkqNUV9MLOxqNDlFhA4M1I6QPOcF3Bb2N/M7hcCi7EL4/yECBrFHC7+npn8jTmtsl876WkDYq3J6ksU5QpxPAr66uhtvtRiAQUHZY6WRDjFcbkFRgwetbdV41MDAYORji2sDAwMDghkJeXp4irzPxvU4HJG1lASAujuiNLRXZ+uJB3x9ITGZ///338Pl8AAYUYY2NjUOISUkUy7+tFgW6GlpXJ5HAZbtllXqqd6yuiYWtZGEqqTAnEcFFJgs7ShKX9i6SgOail4tifQEYjUaV6ivZ4jAZyax/l4qQlgvEbEhonRhnf2daBIyEw+HDh/H9998jGAzi5MmT2LFjBwoKCjJu11jB4XBg5cqVY90MhXA4jP/6r/9S9+PKlSt49dVXx7hVY4Mvv/wSdXV1AIA777wTa9euVd/JMSDV2BqLxdDQ0IBQKIQZM2aMSMGy0UJFRQUeeOABHD16FNXV1Vi9enXa+waDQXz44Ydob2/HggULcP/996ckl9ra2uDz+ZTC8+jRozcdcf3OO++gvb0dNpsNV65cwfbt25Nuv3fvXhw/fhwAsGLFiozuQSLo9yHTZ1TOayNJUmd6bOn9LIO0nLsYfOKxrZ5HZrDJPrHb7QgEAnHFqTkX8/3F4XDE2XokK7hIO5FoNBrXJh6X7xYsnKzP01Y2HW63G/39/Wo//fqk+EAGLxORz7ptG/tGD9gnuj7ZzxJz587Fpk2bcO7cOSxatChpHYcblawmZBDEwMDAINcwxLWBgYGBwQ0HLoTC4bAir0dC4UHiEYj3xk6mxrZqqxWZXVVVha6uLkX4WhGSVtYe0h4kkWWIVCnpFiA6icptSRBLJblcsOvFmgCoBZU8JolpYGDBSQUOPcqtFqFS7S2v1YrwdTqdWL16tUq/3bBhg1W3DwvZKqetiHJp9ZIuMcHtzp8/r/ozEomgvb39hiKuE4HFGltbW3HXXXehvLw85T7Xrl1Df38/pk+fHhdEyQTd3d1xz1Rra2tWx7nREY1GUVdXp0ikY8eOKeI6Ly8PDz30EL755hvk5eXh8ccfT3qsb7/9FidPnkQsFkN1dTW2bt064u0fSSxatAiLFi3KeL8DBw7g6tWriEajOHHiBObMmYNp06Yl3ae4uFiNgw6HA9XV1Vm1ebwiFouht7dXzUGdnZ0ptz9+/Lh6Lg8fPpwT4nrDhg3o7OyEz+fDokWL0hpv9HbJeU3i559/xtmzZzF37lysWLHC8j0gV1YiVsfkHMt3ory8vISe0n6/P67gH99ndAUw2yoz2vh+EYvFLEnoRHA6nYhEIkqxDSAuUA4Mksz69SWzm+C8yu95bQDiPMdJ5MvP9Hcmvh9J9Tf/WFnByXctK9s1Br5dLhccDgduv/123H777ZbXcaOT1RKsbXIjBy8NDAzGLwxxbWBgYGBwQ4KkKhdqufS9TnQ+XY0tiWz5farCTzabDU8++SQKCgrQ2dmJ+++/HxMmTFBek/q2VkQ0kJpglQszktJ6pXqpNiJ5rftqA4PKLJ6XynO5qKcSy+FwwO/3q3PS2sXtdqv99QUh908HixcvxpEjRxAMBvHll19i+/btGRXpGgukc20XL17Evn37UFxcjEceeQQLFy5Ec3Oz8ivNxAOXCrNEKrixxIEDB3DkyBGEQiFcuHABr732mirmZYVDhw7h4MGDylbnpZdeint+W1tbkZeXl9LaYcKECXEkUrJz3sxg2jyJJz0YMn/+fMyfPz+tY505c0bZAjQ3Nysf3VsFoVAI3d3d8Pv9cZZHiYhOifz8fGzZsgU//vgjysrKckLSjifYbDZUVlaisbERNpsN06dPT7k9PYsBqPliuCgqKsJvfvObtLeXllHSmkLHr7/+qjJi2traUFJSgnnz5g3ZbiRU2rFYDB6PJ25uj0QiuHbtGgoKCuD1etVvnPMyA/2SDJa2ICSzmV1Gey1gUA1N0jrdLCLOP1JdnUylLS09dL9o+a7C35p8B9KPJUUFVoF9Xiuzzkhe8/jcl+90/JzvRfw+Eomoc5EgT+a5fTOR1QSfCaO2NjAwGCncOm+WBgYGBgY3JUbC9zodUJHDlNlEamyp2pZwOp145JFH4j7jQp2LALk4lISbrrQmuLDSbUMkqD6S0FXcujqcqiV57Gg0qlJ1eQwuOOWiUi6KqbrSfcXTIXkk6urq0Nvbq85z5MgRPPDAA6qt6XhPZgt5360sTtJBOBzGhx9+iJaWFkyePBlPPfUUgsEgPvvsM/h8PrS2tuKLL77AM888g5KSErS3t2POnDkZLQrHI2FNXLx4UbUvGo2iq6srKYl89OhRRWZdv34dBw4cQG1tLSoqKuDxeJTlxZIlS3DfffclPI7dbseLL76IL774Ai6XC5s3b87hVeUOfX196O7uRkVFxYh5hW7duhV79uyB3W7HQw89lPVxSktL0d/fr9Sft5K36fXr1/G3v/1N+ewWFRUhHA5j0qRJqKmpSesYlZWVI14AciyxZcsW1NXVwW63p+WVvmXLFuzatQt2u33I/DhakMFbqdTV0dHRoeauYDCI9vb2rM8p1cLpgBZptPKiDVJvby8AYPv27ZgyZYoiXgOBAP7+97+jo6MDbrcbr7zyiiK+OY/RzksGqGkRwrk707ma8zzfWfj+kSxAL+dVXR0t/8hsMAbTgUGbMemnrpPe+rsJCWmn04lQKKSORTU753yZdUYvfI/Ho0hwq4wyef6biayWYMDSqK0NDAxGCoa4NjAwMDC44TGSvtfpQFdjM/U0GzU2MKg6YmFCLnb0c8gFmJ66KtVGVh6OVgtDfi6JX/67vr4e33//PUpLS/Hggw8OKbLFBbD+mWyLJPGtyHkA8Hq9Sonl8XiGqNBttoGiXQ6HQy0US0tL4wj1dJBt+jYXvpn6VkscO3YMV65cQSQSweXLl3Hq1Kk4W4FYLKaKiU2bNi2l5cCNhMOHD6OjowPAwD1wu90pldKTJ09GT0+Pen6PHj2KQCCAnp4eRYYAwMmTJ3HfffchEAigra0NZWVlQ8j+qqqqjNSXo42rV69i586diMViKCwsxMsvvzwiCuaJEyfmxNbjmWeewf79+xEMBrF27dobgoBpbGzERx99hEgkgrVr1+KOO+7I6jhHjx5VRGEgEMCGDRuwYMGCtAoQ3irIy8tLW70PAJMmTcJLL700gi1KjXSzgBYsWIDDhw8jHA7Dbrdj4cKFWc0rLG6cCfS5tr6+Hl1dXeo433//PbZu3aracuHCBbS0tCAUCsHn82H//v3YtGlTXAYZ/avl3Obz+SwtyzKBzMjSwXcjK2Ka30vEYjH4fL44NT4LRbJfqHyWBSr5b0lSM9BO7+68vDzVB1Spk3TXFeIySEfRhK6yvtnJaoLvQ+kUnTQwMDDIFoa4NjAwMDC4KcCFyEj7XqfbFqbFSoI5FAqpFFRZ5DHZcUj6cgHEBRmPLxec0peRCmnp1yiVQHr6rVVaLhdXPp8Pn3zyCXw+H5qamhCNRrFp06a0+4Mkfrp9Z7fbEQqFhqTxst0zZ87E6tWrUVtbixkzZmDp0qVpt4UYKUV2OtADCNFoFCUlJaisrERzczMAYN26dWPWvpHEzz//rIgRh8OBrVu3piT6Hn30URQXF6Onpwd2ux2nTp0CMKisI7xeL3p7e/HWW28pMmn79u0oKSkZsevJNQ4ePKiKtsZiA4UPkxX0ygU4VtBeJhO43e4R8ZkfSXz++eeKcN6/fz8WLlyYFdk8YcIEpdB0OBwoLi4ecpy+vj40NjaivLz8hnoOb0V4vV7120sHtCCRQbJM5xW73W7p72x1HM7tLpdLzflEQUGBepew2+0oKipS1xIOhxUBy+N4PJ4hmVWRSARut1vN19lkLun2ZFaBZKqws3k/o8Ka10+VuAyCy3cFjmv0Amd2BAOe7Hu+H1HFTnKZSmrOJyS75f52u10Vm75VyGqJUCik+tTAwMBgpGCIawMDAwODmwaj7XudbpsSqbFDoVDaamxem8PhQCgUiluo2e32uIUpzyN9pElOSasO/rE6pySw5WI+Go0OKyU6FaT9iJWPJbFq1SqsWrVqxNoxkli6dCnOnDmD69evo7S0FIsWLYLNZsOWLVvQ0dEBr9ebU//lbNXlI4HS0lL09PQoa4mDBw/iwoULKCgowNatWy2LT7a0tODMmTOWNjebN2/GkSNHkJeXhw0bNuDMmTOKlAQGVNgsPJhr9Pf345tvvkEwGMT69etRWlo67GOWlZXh8uXLym+1uLg4By1NjLq6Onz55ZeIxWK46667cPfdd4/o+W4mLF26FB0dHaivr8eCBQuG2IP09vbiz3/+s5qLtm7disrKyjFqrUEqZEJaE263G1OmTMloHzkeW81tVAHr4Hxopc6urKzE2rVrceTIEUyePBn33HNP3PczZszAwoULce7cOZSXl2PVqlVKPSxV1rqSOx3wHULaf1n5V3Nb/V0lHcRisbjsK1lUEYAilkmg6pYeBG1VZJCfhDTPAwwG22mXItXUtDdjAUYqsmX7bnaymuB7pckyMTAwGGnYYuNlJWNgYGBgYJBDUClDJfZ4XDzonotUSEsim9uRtONCi99LdQ9VQ7L4on4+ndBOh8yORqP4//6//w/t7e2w2Wx45JFHMGfOnFHrp5sV0uLlVoHf78eePXvQ39+PBQsW4JtvvlFkyaJFi/DYY48N2ef//J//o6xTJOnj9XrxL//yL3F9ePHiRXz88ccIBoNwuVzYuHEjbrvtthG5lr/85S9oamoCMKC+/O1vfzvs+xmJRPDNN9+gubkZK1asyMhmIRFCoRC++eYbtLe3Y/Xq1Zg1a5b67g9/+AN6enoAAB6PB7/73e9ybk3S39+Pd999F729vZg5cyY2bdo0ps+9tApZs2YNli1bNiLnOXnyJL788ktFON5xxx3D8hMfDfT29qK+vh6TJk2yJNn7+vrw4Ycforu7G8uWLYsrKNnT04OdO3eir68P99xzD26//fbRbPoNgfEURBwupO0X/y+tmwiqq0kakySXn0vIdxS9GCMApYzm+f1+v1KRy3ccvi9JuFwuBAIBtLa2orS0FG63WxHMknDXi0kSLFJJIYHMJrPb7Wr7W2Fepz0c+8nAwMBgJGFGGQMDAwODmxJj7XudDqTamkolqcbmNrQBSURK00qE5DYVfrqKWxZgJHQym3YmOpn96quv4vLlyygoKEBRUREOHz6MlpYWLFu2LG0VYV9fH9rb21VRvfECuahOBVl8crhId3Hb1dWFzz77DKFQCA8//DCqq6tzcv6xgMfjUTYzV69ejfsukZ2MJHqcTidKSkoQiUTwyCOPDOnDmpoarF27FmfPnsXs2bOzJn6vX7+OH3/8EYWFhVi5cqXlwpyELwClthvuAn64xRKt8O233+LUqVOIRCL4/PPP8eqrr6KoqAgA4tqrjw25woEDB9DW1oZYLIYLFy6gvr4eM2fOzPl50kV1dTV+97vfARi4hz09Pao/colJkybB5XLB7/fD5XLl7HcbCATQ3t6OsrKyOK/f4YIKcZ/PB5fLhU2bNsUFOQDg66+/VsGaQ4cOYe7cuSgrKwMAfPHFF7h27RoA4LvvvkNNTQ0KCwtz1j5g4Hf5wQcfwOfzYeXKlbjrrrvS3jcSieDEiRMIBoNYunRpTvsuXYwWac13Ano18/0gF+d3uVxx4wbfOazmRZ38ZdYY3zVotSG9qBnQ1YlxqpgJEqfcNxAIxO0vC8bm5eUhHA6jtbUVf/3rX1XNkDfeeEO9J7IQo81mU9Yf8lwktfkOwLbfCspqK7Cvb6WCvAYGBmMHQ1wbGBgYGNy0GE++1+lCL0zEf1NBxIWCvlCSCiEquJlSLEnsROdLh8yuqqoCMEBE/fzzzwiFQjh//jx27NiRkqBob2/HO++8ozwmX375ZRQVFSnVeK7I4GyQrv82kH7xx1ziww8/RFtbm/r373//+7hU6F9++QXRaBR33nnnDZWyO2XKFMyePRtnz55FNBrFlStX0NbWNqRY4yOPPILPPvsM0WgU69atS+lpvnz5cixfvjzrdkUiEbz99tvKU7u9vR1PPPHEkO2WLFmCI0eOABgoojleVWdtbW1xvq+SqN28eTM+/vhjhMNhbNiwYcSCe+NRZfrDDz/g8OHDAAaemTVr1uT0+BUVFaisrERDQwMqKyuxYMGCYR+zu7sbf/3rXxEOh+FwOPDSSy+hsLAQR48eRVdXF+68886sLWsaGhoU+ef3+3Hq1KkhxLVuUyFtGHSrDfoQ/+Mf/8CFCxewYMGCYf0ugQFynGPhP/7xD8yfPz/toMNnn32G8+fPIxKJ4OTJk3jttdduCrJRvi/IWhe0GwIG5/RcIBgMqmy2RF7cVF5LhbVeQJrQiy/zj24LwucSsJ6H9euVCm+e89SpU+jr61P7HD9+HHfddZeyA6HlhzwOSWoeg8Wzb0WymqBdivG2NjAwGC2MzzdsAwMDAwODHEH6XgcCAaX4GU8v2ySluVDTPRWBeG9s6W1NaxF5PbIYI0lsptOmYyUi//B4cqF45coVRVhEo1F0dXWlJK6PHTum/KuDwSAuXLiAJUuWZEQa36rQPcZpFwMA7733HhobGwEAv/76K1588cUxaWM2sNlsuPvuu3HhwgX4/X709fVh9+7d2L59e9x2M2bMwO9///tRa1d/f796LiORiOpfHffccw/mzp2LcDisgjrjEXfffTc+++wzxGIxFBcXx2VIlJeX4/XXXx/R869duxaNjY3o7e3FjBkzRrzYZLo4cuSIIsKOHDmSc+L65MmTaGhoQDgcxrVr13Du3Llh29YcOXIkzsO9trYWfX19OHbsGEKhEM6cOYPXX389KzVxRUWFKmLncrks79MDDzyAd999F+FwGDNmzIh7ljZs2ICdO3ciGo1i9uzZKCkpwenTp/HTTz8hFAqhpaUFv/zyC+68886s7Vn0rBifz4dvvvkGXV1dWLNmDebOnZtw36tXr6r9e3t7cf78ecyaNWvcZWJlApktJIlkvegyka1VCd+ZdBsPK/Bz/Vz69tIbG4B6V+G2fL+hypnbSOhkeLLzAQPjncvlUlZSFRUV8Hq96jjsR73go81mU1l74+ndcazAIMF4F4IYGBjcPDDEtYGBgYHBLQFWfmdK61j7XnORJknoZCmnUlHNBam0BpHe2FK1xIWW3W5XFiRUS1mpseS++v+5EF26dCna2toQDofhdrtRUVFh2V4e0263o7q6WqVpu1wuTJw4cUT6NVPcCJ6j99xzD/bt2wdgwAdaLhY7OjrUYr6zszPjY4fDYdTX1yM/P39MyFd94TseVMuFhYUoKChQqeCLFi1KuK3Vs6/j9OnTqmja+vXrh73YP3HiBA4cOACPx4OFCxfizJkzmDx5MjZs2GB57JqaGrz66qvo7e1FRUXFiJINfr8foVAoTgWbn5+PHTt2jNg5s4XT6VRBoZHIVOjr61PjezgcjlN6ZoPOzk4cO3ZM/d/hcGDixIk4ffp0XCDx+vXraT2XOkpLS/HMM8/gxIkTmDp1KhYuXDhkm7KyMrz55psIh8NwOp1x302ZMkV9R+K8o6NDtS0SiaCjowMHDhxAWVlZVgGMhx9+GO+99x4ikQgWLFiAH3/8EXV1dYjFYvjyyy9RVVWVMIg6ffp01NXVqTnz888/R1VVFbZu3ZpxO8YCch7n/znvs1Cg3+9X/7ciimkDlu6cx23tdjui0SgaGhrw888/o6ysDCtXroTL5VL1NaTVh358aT3G/8uMLqs2Sf9oK4W1lcUX22l1fTabDXPnzsXatWtx/vx5LFy4UAWS2Gb6Ykv1tm6NcquDqvSxfoc2MDC4tWBGYQMDAwODWwZj7XstCylGo1E4HA5VlT7TBQAXsVyMUiEkU7f17SWRLQsesahQonZwoRKLxeDxeLBkyRKUlZWhp6cnoWJNLhwjkQjmz5+P7u5uXLx4EYsXL8b06dPH1B6EGO+kNQAsXboUc+fORSQSGZIWX1FRgStXrgAYUJNlglgshrfffhsdHR2w2WxYtWoVVq1alda+TU1N2Lt3L4qLi/Hggw9m7Rc7YcIErFixAocPH4bX68XGjRuzOk4uYbPZ8OKLL+LChQvwer2YPn161sdqa2vDnj174Pf70draCrfbjXXr1mV9PJ/Ph++++w5+vx+9vb3Yv38/YrEY2tvbkZ+fn/DYRUVF6tmJRqM4fPgwOjs7cdddd+UsiHTu3Dl8+eWXAIBZs2YpL/Pxii1btuCLL74AMGBHk2ssXboUJ06cQCgUgtvttgyAMDiSTjDh/PnzcVYd1dXVmDNnDrq6uvDDDz8oMilbqxAeM5UXN7OYrKBfy4IFC3D8+HEEAgFFQgaDQXR2dmZFXFdUVOB3v/udssR466234sbw/v7+hMT1Y489htOnT2PPnj0IBoMIBAJobm5GKBRKeD3jCW63G36/X1mg5eXlwe/3q6LOnPvlM0IFfSolMhBfc4GkJFXHgUAAfX19eO+999Df3w+HwwG/34/7779f7cN3CHkeGSTn+4/V+VPNwyTopa+yJLYJ/f8k1PnH5XJh3bp1WLduXVwRR7kf95GWIAaDoCrdqK0NDAxGE4a4NjAwMDC4pTDSvtddXV1wOp0oKCgAMGjxQSUPSWLdrsMqxTeRdYeVOpqKbHk8qq6s1NgEF26BQEBtp1upcFFHyxWHw4HKykpUVlbC6/UiGo0iEAgM6We5GLXZbFi5ciVWrlypzgsMLMal8jwXcDgcOT3eeEB+fr7l58888wxqa2sRi8UsFZLJ0Nvbi+7ubkV0HDt2LC3iOhgM4oMPPkB/fz9sNhv8fj+eeeaZjM4NDDwDx48fRzgcxquvvprzQm7DgdPpzLqwo0R3d7d61sPhMNrb2/9/9t77OYrrX/N/JgflgHJAIokkEBkMAmOyyQ4k24DTJ9y6VVtbtX/Lbu3du1vX6WMb25gMNjknCyQESAKhnLM0mjzT3x/0fR+fafWMZkajAD6vKgpJ09N9uqenu89znvO8R7U+uTBD3zFyswbD5cuX8eTJE7jdbrx8+TLsaAk5JKgDQE1NDQYHB9l1cKz5448/cOfOHWi1WuzZsyeogrFJSUn46KOP0NTUhJ9//hmSJGHz5s3Iy8uLSJvMZjM+//xzdhzkA3wXL17E8+fPoVKpsGPHjhGF3LS0NBgMBjgcDhgMBixduhQAsGTJEqSkpKC/vx/Tp08fJsJaLBZ4PB7ExcVFZL+CpaGhASdOnIAkSUhJSUFvby8rmBco0mMk+HvY6tWrcebMGQBDxTADDd6p1WrMmzcPT548QVNTE2vLeLtpg3U808A6zQogtzQfr6HRaIbd6wwGAxON+YHskQaK+UJ7VNeCp6+vz+da1tzc7OPupsFt2kd5DQ5+YFxJxPaXgU1t59vj9Xrx4sULPHnyBDk5OVi8eLHP9kjkJlGfjgsfA0LXUo1GwwRqyngXLmtl6HOeTMW1BQLBXwNxRRYIBALBX46xyr0+ffo0nj17BmAo73Pu3LlsGi2JwsCfnTAlUVouRss7fPIoj5EgV5HH44HD4WCdU/pHriKdTsc6dDabzceFTR1j6sjR/tB6KZObRCsArNARRbP4w+FwKE6BpraHA+8I4ju8Op2OdZiVoGMdKL8zktD5MJrilBqNBvPmzQvrvSaTiXXq1Wp1UGIfMOT65QdRghVM5Vy8eBFPnz6F2+3G06dP8fnnn79xLq7s7GxER0cz8SlYR7s/oqOjMXfuXDx9+pQNwpGrccWKFUGto6GhgX0HvF4v+vv7g3brd3V14ddff4XL5cLbb7/tI+5HRUWhr6+P/T4WLtampibYbDZMnTqVXY8cDgdu377Nrj+nT58OKbf71KlTGBgYAACcPXvWp/jpaFGr1YrFAwcHB/H8+XPW5osXL47Y5qysLGzduhUVFRWYPn26T+FEf7MCHj16hJs3bwIYcj9v2LAh3F0JmStXrrDzvre3lw1uJScnRyyaJS8vD59++ilsNhsSExOD+tz27t2L69evw263o7i4eMwctZIk4ezZs6itrUVcXBzef/99dl8MBpfL5SOe0vdcrVbD6XQOG8TSaDRMWAz3fhKo5sSUKVNgNBpZYdBFixaxgXEq0sc/pwBgjm26r8rFaoo/o/sQDbjzIrgS7e3tOH/+POx2OxoaGqBWq1nhT7qfarVatj9kVpCL1fwMNCrAOBGDGa8Lbrfbb6FvgUAgGEvEVVkgEAgEf1ko95p32YTbiXU6nXj27BnrqF+9epXlJ5J4Ku/UUUePxDr56/Kf+d+VnEpK0Pp50VwpG5vEaHJrUewIHyfCb0er1cLlcvl0ZHins81m83GWyQs8kkOcYlP4DnO4orG8OJVcoCb3mb9CT9Rp1uv1TAAAlKdbR4KJLkyp1Wqxb98+3LlzB9HR0UEXp4uNjUVycjI6OjoAhC/G1tbW+mQAWyyWcXeFjhUejwf3799Hb28vduzYAa/Xi9jYWL/O+VBYv349iouL2ZT2rq4uxMbGBu2CKywsxK1bt+B2u2E0GkOKljh58iQbqPjtt98wbdo0JvLs2rULp0+fhtVqxdtvvx3x3Og7d+7gwYMH8Hq9SExMxMcffxwR0VHu5BwP5MJYsI73GTNmhORWvnPnDhPHnz9/HpGM9WDhz3UqDDoWsyrMZnNI3yuDwYCNGzdGvB1yamtrUV1dDYfDAZvNhtu3b2P9+vV+l5ffX4HhxSjpvtbd3Y27d+8iNjYWK1as8BFpIw3du6OiovDJJ5+goaEBCQkJyM7Oht1uZzPI5G3knc1er5eZBTwej484zM9I479/JGgridjd3d3s2DidTrS1tbFl6DmOZhLRALpcrObb6nQ62UCbEGWVEW5rgUAwkQjhWiAQCAR/adRqNSvaOJrca7lj22QyDVtGkiQmrsqjOPy5jEf6XY4/oVv+Owna8im7fBElPh/S4/HAZrP5OMf5gkbUIVVqK3VsHQ4HE7d5YThSyMV8XhjnGUmc4jNCgSHBm47Fm0ZiYmLIWcQqlQoffvgh2traYDKZEB8fH9a2Z86cicePH7NibkrO1NeVS5cuMTd5TU0NPv/884gKubzwGWohvsWLFyM1NZVl1PPrKikpQXl5OXJzcxXdqPLvLP9dio6Oxv79+0NqSyhQVjIwFMEyODiI6OhoGAwGrFq1ikWFhHo+r1+/HhcvXoQkSWPqwOUxGAzYsGEDrl+/DqPRiO3bt4/JdkwmEysKOd5Oya1bt+LkyZMYGBjA6tWrJ1UU0HjAz9yhe6g/5PEhge6NLpcL33//PQYHB6HRaNDX1xfxPHmdTudzvtjtdjidThgMBsyePZvtG0Vx8EUNaVaXWq3G48ePcePGDahUKmzcuBFz5sxhs7vsdjt7FlL6zgWK+5o6dSpMJhMcDgc0Gg0WL14MvV7PBtODqd/BzwgzGo1sP0SmtTI0A0AI+wKBYCIQwrVAIBAI/vJEIvdarVZj3759OH36NEwmE3bs2MHWrVQYSS6CygVjeVyIP0IVugP9Th1RuQOa2qdSqRQLIo0kQNN0Yfp5PPAnjMud38HCZ3Ir5XnTNv8qqNVqpKen+33d4XDgp59+Qm9vL6ZNm4bNmzcPO4/Xrl2LzMxMDA4OoqCg4I3qEDc1NQ2L40hOTg76/VarFeXl5YiOjsbs2bMjLqZkZWUN+1tDQwNu3rwJh8OB7u5uxMbGoqioyGeZjRs34syZM5AkCUVFRRF3VQciLS0Ng4OD8Hg80Gg0PoODixcvZlEBoVJQUICZM2cCGF+35ezZszF79myfvzU3N+PSpUswmUzYsmXLqMXevXv34uzZs3C5XNi0aVPY51F1dTXu3LmDpKQkbNiwwScGpre3FydOnIDD4cDbb7/NHOFRUVE4cOBAUOtva2tDW1sbcnJywh4Im2zk5eUhOzsbzc3NMJvNeOutt/wuG8q9w2KxsPuRx+NBS0vLqNtK0Kwrf+eJPFoDGBK1aUCbZg5Q3YsbN24wx//ly5cxa9YsRQE/0D1Znl1NzyJHjx5FW1sbUlJSEB0dzZzZkiRBq9Wy+BIlPB4Pc2EbjUafe7gQrodD7nklQ4ZAIBCMB0K4FggEAoEAkcm9zsjIwKeffsqmUvKdOz5DWgkSjalTqJR7TZ1GubAt349IQJnYfOYz5WGrVCqfvEgALKOanFZKojG/H+RsUuqw827wSOdNjzYKQC5aA5EVrF0uF86cOYO2tjYUFRWxYpbjTWVlJZ4+fYq8vDwsXLgw5PPq1q1baGlpgSRJqKqqQkFBAaZOneqzjEqlGlWRtsnMggULcPPmTXg8HphMppDiODweD7755hv09/dDq9WipaUF77zzzhi2doi+vj72vXW5XOjp6Rm2TF5eHv75z3+yDNmRkCQJz549w8DAAAoLC0cVlbJt2zbcuXMHFosFK1eujGjkxWQYNPF4PDh+/DisVisA4MSJEzh06NCo1hkXFxe0eOyPgYEBnDt3DjabDW1tbVCpVNiyZQt7/eTJk2hvbwcAnD9/Hrm5uSENaDQ0NODXX3+Fw+GAyWTCoUOH3gjxWq1WY+/evREXQ+Pi4hAdHc1mOi1cuDDsddHMJPouU/0C+Ywwum/yzzT0N3pm8Xq9w+778vgTuq/TP6XjohQrRvUqaJ+1Wi3MZrNPQVMqVElGBCVoQJsiwfhrCBkXhDg7HHJbC1FfIBBMFEK4FggEAoGAYzS51yTcEuReInePVquFyWRi8Ro0rZbgO3Ly6A76Oz8dl59my4vZ/M/hQFNoKeuZ3FTyokm88EwitpIjm6AOKD8dlzqJlKnNH0sAPtEi/HqCFYvp86N9muzcuHED1dXV8Hq9uHfvHnJycpCWljaubXj06BGuXr0Kt9uNhoYGGAwGzJkzJ6R18Of2SNPk30QWLVoEjUbDxOvW1lZkZmYG9V6LxcK+Zy6XC9XV1eMiXE+bNo05F9Vq9TC3NUGzQoLh0qVLKC8vh8vlQmlp6agKcOp0OhQXFw/7uyRJuHXrFqqqqpCfn4+1a9e+lgKLPMuXCkZONIODg6xdXq93WDFWvigvEHp2P1+k0mazobGxccyE6+bmZvzxxx9ITU3FkiVLxmXAItLnolqtxqFDh1BbW4uoqChkZGSEvA5/jmSdTsdqX8gzp+X4mz1GqFQqbNu2Db/99hs0Gg12797N2s8XJOYHu/m/k0BNzx1Uq4MEbD6zmp6xqFgtRZjwkAuc4uH4fW9vb8fXX38Nj8eDrKwsHDhw4LW8howF9MwpBH2BQDCRCOFaIBAIBAIZ4eZeUwEiHnI0aTQatj69Xs8cQXyxRN5lTe3gBWt6nYRkXpzms6jlorY/t7Y/SLiiXGoqdETb5rc30nHU6/XMpUUdYTqeVMiS3O60bcrIBKBYFDEUh/PrIFbzDA4O+rjb6BiNF/fu3cPt27d9Cl/V19fjwYMHsFgsmDNnDt5+++0R17Nq1SrU19fDarUiPT0deXl5Y930Scft27eZe/bkyZP4xz/+EdT7oqOjmaik1Woxbdq0sWwmw2Qy4dNPP0V3dzfi4uIUi3BJkoS6ujrY7XZkZ2fDbDYHvJa8evWKDUgpFeC02Ww4ceIEent7sXTp0rDiPqqrq/HHH3/A6XSiv78fSUlJmD9/fsjrmWiMRiNyc3NRV1cHSZICRkuMJykpKYiPj0dvby9UKtWwIq4bNmzA2bNnIUkS5syZE7LANXXqVFRUVMDhcMBgMIzZQN3AwAB++eUX2Gw2VFdXw+l0YvXq1WOyLSVIoFWquxAqOp0urNkqWq2WDUjzsWDy+3kkipRqtVrMnj0bc+bM8Rmsp+saXeNIUOYhZzaJ6NQmeYFF3kFNOdU0eM4/q9DAOLms6b10HM6dOweLxQIAaGxsRFNTk2Kc0l8RKlwphHyBQDCRCOFaIBAIBAIFQs29JmHZ38O9SqXycV+TqEvuRZ1Op+jE5qfV8oI13/Gk18ihxIvsfOeMpvLSunkRmzKJe3p6sHDhQqxZs4YVT5LvJzmn6XjInYL8suSkI8c2AOaMosgRaifv1KOfaV9ra2vhcrkwbdq0iEYETDbeeustNDQ0wOv1Ij4+Hjk5OeO6/fLycp84G4PBAIvFwqIAysvLMXv27BHFpaioKHz22WeKzre/Crz4E4oLVaPR4KOPPsKTJ08QExMzLAc5XJxOJ1pbW5GQkOC3EKZOp0Nqair7nYQm+gyvXLmCJ0+ewOl0QqVSISYmBocOHVLMYqZYD37d8uUuXryIxsZGSJKE27dvIz8/P6RYFWCoUCMfcdLf3x/S++VQTM7UqVNRVFSEhw8f4sGDBzCbzdi7dy9iY2NHtf5AbN++HT09PdDpdEEXK5UkCY8ePUJ9fT0KCwuRn5/v83pHRwdOnz4Nr9eLzZs3IzMzMyQRihy+HR0diIqKGvYZ5ufn429/+xsTD0Nl5syZUKvVqKurQ0FBQcAseLpHhhNb0NPTw76TLpcLzc3NIbcVAGpqavDbb79BrVZj+/btAbP+ATCXcKDZSKOB7pHB1G/g602MFeRmpgF5EpE1Gg2LY6P7Pf/sQLOrAN/rJT0fyQsskrAtSZKPg5pmdWm1Wp9oE6VZY4TJZPKZyRXOefwmQs+iwcRCCQQCwVgirkICgUAgEPghlNxrcgON1JmmKBKXywW73Q6dTufjntbpdEzE5p3YJB7xrmrqCMpjRKhjxhd7pHbznTMSvb1eL37//Xc0NDRAkiQ8ePAA+fn5SElJ8TkWvHDO7/eDBw/Q2NjIRBOlKA++IypJEnNYjVTYUZIk/Pbbb6ioqIAkSUhLS8P+/fsDvud1JjExEV9++SXsdjuioqLG3eWUlZWF/v5+uN1uGI1GHDx4EDdv3vRZJhTx5a8qWgPAmjVrcO3aNQAI2dlpNpuxfPlyv687nU5cvHgR/f39KC4uVowLaGpqwosXL5CXl4e0tDT813/9FyuktmfPnhGjS+7evYsHDx6wKf/5+fmorKxkQpAkSejv78f9+/exfv16n7a9ePEC9+/fZ+eKXq/Hxx9/PGzQyWq1+lwrlDLkR6KgoAAPHz5kcUwLFiwIeR1Ec3MzLly4AIfDwQaQ7t69C7vdjsHBQVy4cAEffPBB2OsfCZVKhcTExJDe8+TJE9y4cQNOpxMNDQ3Yt2+fz7X7+PHj6OvrAwD861//gkqlQlpaGj744ANWTG8k1Gq1z4CGHLpvhcv06dMxffr0gMs4nU58++23GBwcRFRUFA4ePBh0+4Gh4p5GoxEejwdarTasbGhJknD27Fk2k+LUqVP48ssvA75nrGOS+Pv5REKzyMgBLRergT8zsnnxnJ4X+L/RLDW5WE3IBWl6TuLjTfgZXfJ4EjlbtmyB1WpFT08PVqxYEVIh3TcVcrMLt7VAIJgMCOFaIBAIBIIRCCb3Wp5vHQhyc5P72uPx+HTuaBkqmkRiNT8Flhww9DfeBc3HkAQSs3lR2+Fw+Li85REbfBt4SkpKcOvWLSaaHDhwIOKdPprWDQCdnZ0hHetIEUquNhGMA04JrVar6GAdDzZs2ID4+Hj09/djyZIlSEhIwLp169DW1gaHw4G8vLywMlX/ihQWFrJscN6xRrMbent7kZWVhR07doQs8J85cwbV1dWQJAnHjx/HF1984VOQrLW1Fb/88gvsdjvKysqwbNkyWK1WNlD08OHDgMK12+3GgwcP2IyJ33//HX/729+QmpoKq9Xqc14/ffoUixYtQnx8PDweD77++mv09vb6LGM2mxUjJN5++20cO3YMkiQhIyMjoDjqD7PZjE8//RR9fX2IjY0dlYDa2dnJrjVOpxNtbW0+r4800DYRNDc3sza7XC50dnb6CNfyNkuShJaWFly+fBlbt24d17aOhrKyMnR3d7NoiSdPnmDJkiVBv1+v1+Pw4cOor69HfHw8pkyZMmyZqqoq1NTUYPbs2YqzXWjAmRhr97ISPT096O/vR0ZGxqjO9UhBorDT6fR5BuFjzMjpTTO2gD8d0HzNDJqFRu/jB9f52WMERY3wA//AnwNgdA+WP7fQsvx1+ciRI2NzgF5TeIOEQCAQTDRCuBYIBAKBIAj43GuHwzGsg0XicyiQIE5xJP4c3cGI2NR5dLvdLIqEHE+0Tur0kZObL4K0bt06NDc3w+PxID09HdnZ2azDQpmYAIZ1JFtaWpho4na70dXVFbZwzYvDtG2v14ukpCTYbDZ4vV4YjcawO1J8R5oX+Ujg7+/vh8PhQGJi4rDPIFTRmtb7uqHRaHycvg6HA7/++iucTiemTJmCrVu3smPT29uL1tZWpKen++QWTzR1dXWw2WyYNm3ahAs7SlOs7927h9bWVni9XtTU1KC6ujrkvNru7m6fgSar1epzTjc2NjKBzeFwoK+vDxqNBi6XCyqVClFRUQHXLz//6Tu3Y8cO3Lt3DxUVFejp6QEwVJzvt99+w4cffoje3l72XQWGri0JCQnYsWOH4nZSUlLw97//HU6nc1TFv7RaLZKSksJ+P5Gfnw+z2cyKwS1duhRarRZVVVXQarXYuHHjqLcRaQoLC/Hy5Uu43W4YDAakp6czpyQwFD9048aNYUUURxupMt7QPZfih/jzPVgMBoPf79rLly9x/vx5OBwOVFVV4cMPPxw2kHLp0iWfe4E873usqa6uZnniUVFROHz48KhiHGjAm54rSAAO5d7F1/GQz8aiZw0APs9LgK8TnVzRNMAur9HBt9Pr9SoWlyTxnF+vXOSmjGtBYMhtHUpxcoFAIBhLhHAtEAgEAkGQ8LnXJF5TZ4rPgQ11nRQXQp0uXhRXWl5JxCaxmqbmAmBOa+ro09Rb6vDxDqakpCT84x//YAWygCEhmhcKAAzr9C1fvhw1NTUsWiI7O3vE/eU7x7wIwP/Mdz737NmDu3fvwuVyYcWKFSEcXV/49VMGJh2X8vJynDt3DsBQXMauXbvGrMPGC/Q08OAvJ3yiefjwITo6OtggRWVlJebMmYOOjg788MMPrHN74MCBkCMOxoIbN27g0aNH8Hg8SEhIwOHDhyddxzsShdCWL1+OK1euAACSkpKGDRxMnToVJpMJNpsNRqMRhYWF6OvrY4X/KioqsGbNGr9RCxqNBps3b8bly5eh1Wqxa9cuAEOREKtXr8acOXPw7bffMjGU9icmJoZdK7RaLebOnYtNmzYF3BeNRuNXtLbb7bDZbIiPjx+XzzE6OhpHjhxBa2srpkyZgvv376Oqqgo6nQ7vv//+pIwQyMjIwEcffYTOzk40NTXhm2++ATA0e2L27NlYuHAhZs+ejcrKSvz++++QJAkGgwHFxcUT3PLQmDdvHmpra9HU1ITMzEzMmzcvouuvr69nTl273Y6WlpZhwjU/YGQ0GlnWv8vlgs1mQ0xMzJiep/wsCJVKhdbW1pCKCJLAzM/GohlMVEhZyUXub8YRZUMTfMQZPTfQvd5fZAqJ0nzNDaUC0vSco9frfZ5/KEfbH3xBRkFwyGsbCAQCwUQjhGuBQCAQCEJAKfc6EtMp1Wo1DAbDiO5reVt4EZs6nS6Xiwmy5JjxeDwsF5LaS8uQK1uv18NkMrF1OZ1OnwKLvPhNncycnBx88cUXaG9vR3Jy8oiuSV60C6YjSa704uLiYW6wcOI7CD4jExhy0lEmZmNjIwYHB8csroMv4ilvx2SDPmdeaAeGCtjR8XK73Xj58iWWLVs2Ye0knj17xsSnwcHBMf0cw2X58uWora3FwMAA0tLSQnZbA0MiXlZWFqxWK9LS0ny+S3V1dejr68OePXvQ1taGzMxMpKamYnBw0GcdFoslYEbwzJkzMXPmTMXXEhMTMW/ePDx9+hR6vZ6J0zSI8eDBA8THxytGObjdblRWVkKn02HGjBl+rwN1dXU4deoUgCFn9gcffDAu4pPZbEZ+fj66u7vx7Nkz2O122O12XLx4ccLy9akYpr8ZBPHx8YiJicG5c+fY9frq1aussKfBYEBhYSHmz5+P/v5+mEymsBzLkaK5udmnYGReXt6I71Gr1di5c+eYtWn27Nl4+vQpnE4nDAYDpk6dOmyZVatW4cyZMwCAuLg4pKSkoL29ncXdJCYmYv/+/WMm+KWmpqKlpQVutxsqlSrgTBcapKZIDsqWpgFpGuQmd22g2BN+JhSJmnwuNV8omkfueKbnFXpOkceK+INmkul0Oni9XthsNr/3fvqe0OC0KCwYGsJtLRAIJiPiSi4QCAQCQRjwudeSJEUkkkDuvna73UFPbeUzrvlIEBLxqANHHVWlabz0fr4gksFgYKIJrZtc3OTIiY6ORmxsLMtE5HMoyd3FdzJ5t/dIyIs6yt9D4gufnxmOmB0bG8sKmNF+jyXBtHE0wnykWLx4MWpra9Hd3Y2MjAwmZGZmZsJgMDCH/njkXkuShJKSErx8+RIFBQWKRfgyMjIwODjo4yLs6+tDdHT0pJkibjQacfjw4VGvJz4+HvHx8aioqMDly5eh0Wgwbdo0PHv2DE6nEzExMfj000/ZtWnhwoW4ceMGvF4voqKiEB8fP+I2urq68PDhQyQmJmLx4sVob2+H1+tFeno63n77bbz99tvD3pOQkBDQZf3999+jvb0darUas2bN8puzfP36dTY40t7ejs7OTsVc4rGir6/P5/ozUe7Dhw8f4s6dOwCA4uJiv8Un5YXslO5JI4md48WpU6dYVMnZs2fxz3/+c8JFsvT0dBw8eBAtLS3Izs6GJEmorq5GRkYGG5DNy8vDkSNHYLFYkJKSArfb7VOskVzvI808Cpfi4mKo1Wq0t7dj+fLliImJ8Xldr9ezrGl+oBqAz6wpnU43LK97JPhBY1onPT/ws87kM0jksR5er5cNro8kjtKy9D0MlDEv3w45soVwHRr8wIZAIBBMFsSVXCAQCASCMCGXtN1uh9vtZqJvpNZLwrNSnmMgRhKxyWFNHRN55Ah1QOl/o9HIHFkGg4HladO6qXPJO6EJEhC1Wq2PUB4JUdZfEUk6hqFEMOzcuRPnz5/H4OAg3n77bSb6TKR4PNGiNfCng1ZOXl4eNm/ejJcvX2LmzJkhTVcPl6qqKty8eZMVzYuPj0dubq7PMtu2bcP9+/dhsVgwb948/L//9//gcrlgMBjw8ccfw2g0jnk7R8JqteLFixeIi4tTdHUGYmBgANXV1UhOTkZWVha8Xi9+//13JkCVlpay897lcqGnp4cV6isqKkJ6ejosFgtyc3NHFCbsdju+//57WK1WaLVaPHv2jImN06ZNw7Zt20Lc86E29fb2sutNTU2N32VjY2PR1tbGvgejycD2h9vtRnt7O2JjY32c+U1NTTh9+jS7XsXHx2Pz5s0R334w3Llzh32+N2/e9Ctcq1Qq7NixAxcuXIBWqx1Td/Jo8ZdDPNEkJSUhKSkJTU1NOH78OLvnHT58GGazGcBQnEx0dDQkScK3336Lrq4u9n6VSjUm5ymh0Wiwdu1aNsDNC886nY7dD+n40r2aZnDxzutgoXspzTSz2+0+g8/88wB/z1KaNSZJEhwOB1QqFQwGg2ItCfmg+kgYDAbFaxll+vMznASBIWPCZLhPCgQCAY8QrgUCgUAgGAXUKdJqtT6516OFL3jkdDpht9vDWncwIrZSAUfq8NlsNh83NrWDlueFeur08FOJASjmaCplUvoTm4MRj6ktVLAyVNHXbDZj7969w/6u5BQXDDFr1izMmjVr3LbX3t7OhBmHw4HOzs5hwrVGo8HKlSsBALdv32ZCq91ux/Pnz1FUVDRu7VXC5XLh66+/xsDAAPR6PVatWqUYp6GE1WrF119/jcHBQRgMBmzcuHFYlAfFBpGjUe6upUzeYOjr6/NxVlLWOTBUJC4cQUir1cJoNMJut0OtVg/LEObZvHkzPB4P+vr68NZbb0U88sXtduPrr7+GxWJhoi+dT+Xl5T4RSStXrkR0dDSuXLmClpYWLF68eNzOff6aP5J7NDc3F19++eVYN2nUrF+/Hr///jsAYPXq1ZNOWHz8+DFz+3u9XtTX16OgoMBnGYoi4qOvVq9e7TcH/cmTJygrK0NWVhbWrFkzqkFuEmX5eybvRubrWNBrgdzKPPz7SBS22+0+YrL8vsi/x99AOw00S5IEo9HoI37TM0Iwgxi0zyMN6PP52sI9HBwU3yKyrQUCwWRDCNcCgUAgEIwCEmTludcj5VMHCzmT+AKM4WYPykVsyqgkMVAeFUJCOV/ECQBzbNE+U1so6oQKTDocDhiNRlYkkl8HLQ/Ap+OvJA7zf/MnHlPnFwjs4FOKLgkWIVpPLPPmzUNZWRmb/u0vf5mIjo5mU+K1Wi2ioqLGqaX+6erqYoNCDocDz549C1q4bm1tZeKTw+HA8+fPMXv2bLz11lu4desW1Go1tm7dioGBAXR3d6OoqCioyJuuri5cvXoVRqMR69evZ47RxMREGAwGJmbodDpYLBYAYMJTqKhUKhw6dAgPHjyAwWDA4sWL/S5rNBoVB5MiRUtLCwYGBtgg3r1795hwnZOTg8rKSjYYmZKSgjt37uDx48dwu93o6upCcnIykpKSxqx9xK5du3D27FkmrkeCzs5OVFZWIiMjI6h86UhTUFCAmTNnRqQ+xFjAt4nuZ3LMZjN0Oh1sNhu0Wi1mzJjhd2CstbUVV69ehd1uR3t7O0wmU9g1AVQq1YgRHy6XK6iBVipQzM9cokKGNAjMz6ZSgu67I+VV0zOAVqsdFgEyEvysLY/H49dlrfQ+ekYTBIZqpAi3tUAgmIwI4VogEAgEglFAU2gB39xrr9cb0eI2tG6XywWbzcZE5XDXTyIxdchJnPaXicnHilBhJblrm4o28mIh5XSTqE+QU4q2ywvPcvgIEuqIjqYoo9FohNvtZh1zKnTFZ3iGinBjD6ezsxMXL16ETqfDpk2bhuWxBsJut6O+vh6JiYnMwZiQkICjR4+yrOORpuTPnz8fbW1tqK2txYwZM3yKIDqdTpw6dQqdnZ0oKioat8KSCQkJ7Hul0+lCEg2nTJnCvod6vZ69d9GiRUwwC/V6IEkSfvzxR+Y67uvrw8GDB1n7PvnkE7x69QpxcXGIjY3FlStX4PV6FbOtg8VkMqG4uDjs94+WR48e4eHDh8MyvvmBjdmzZ8Pr9aKurg5z585FSkoKbt265VOMrq+vb1yE68zMTHzxxRcRW19fXx++//572Gw2GAwGbNq0aZibeDyYzK5OPqZCLuzyfz906BD++OMPmM1mLFq0yO/6+vr62Dpp4CMQge5HSvcZuu+SIEzL+RsIpv/l+0nPLCSMk+uclqdoEHnRxUCzwchpTfd3ut8GGqDm10szqBwOB4suC/Y6RzPhJiIuxO12o62tDXFxcZOuQLAS9Mw2mb+XAoHgr4sQrgUCgUAgCBOK1eAf9Klj5XQ6mVsvUh0BvoNIHUFyPY8WXnSmKBESqMntRO5qcpRT7jWAYfnYND2X3Fok8PPCN0311ev1zH1F71GC3ssfj0BiMe0TL3RT/Am/DuoYjyZrNVzRmoT4Nw1JknDs2DHm0P35559x5MiRoN7rcDjwX//1Xyxbedu2bZg2bRqAIZdjTk5OUOtRqVTYuHGj4mvXrl1DbW0tvF4vc9oGiq2IFAaDAQcPHsTjx4+RmJiI+fPnB/3emJgY7Nu3D+Xl5UhLS8Ps2bPZa+GKMvx3WJIknwKl1F5+O5Fy/E4UnZ2duHnzJux2O/r7+30KGNbV1flcz+fOnYu5c+ey15ctW4ampiZIkgSTyTQuue5jgdy5T8VOX0c8Hg9KSkpgs9mwePHiiM2qmDVrFl69esWKz6anpysuFx0djbVr1464vqlTpyIqKoqJr4FmGgDKhYj9QQO6/KAzvx5ahu7bVLSRv98p3dOBP53OANhMEfqOUDFkuZAcTPyH0gwq+p93bvPPC+EM1vOzusZTuHa5XPiP//gPNiC4b9++oO9bEwEZCMYyn10gEAhGgxCuBQKBQCAIE3LsyjtEJDC73e6I5l4T5L52u92w2+0RjSYhSICnDg0J0OSups6lRqNh8SgkAlGHlcQRcp9Tp5MX3qn4FQnWBoNhmEDtD+qMajQauN1uHycYudVGEqN50Zg+S5omTesfjRN7JN5E0RoYPshgtVqDfm9zczMreOp2u/H48WMmXI8Gr9eLiooKeDweWCwW9plKkjTi1PtIEh8fj3Xr1oX13ilTpozK7SxHr9cjKysLjY2NADDhGeBjjc1mYwIZTY0n6Hokj4VwOBxobW1FYmIijhw5gr6+PqSkpPiI3pGgvr4eFosF06dPV4ymiBTp6ens/mQwGEaM3BkJl8uF/v5+xMXFjZjBHSksFguuXLmCxsZGWK1W9t3+/PPPIzKQO2PGDBiNRrS0tGD69OnDsuJDxWAw4OjRo+jo6EB8fDwr9Bgs/tzOwJ+1JZSgwWiKB6OYL/kx4jOw+dlYfL0LeT0L+p+/19K93999U/53+T2cjwAhlzUwFBsUzufKz9Ki9/sT90d6zd+y8sKUkiShtrYWfX19zKl/8+ZNNpNlMuJyuUIqAC4QCATjjRCuBQKBQCAIk0BFf8jhxOdeR1LooPXzInCk3N2865B3YpMYSbnYJGBTDi7vqiao0+hyuVhGN4nevOuPhHelbfsTsSmvmp++T/ibJk2Q84zvcJKDTO4Ce1MjQCRJgtVqhcFgiLjgpFarMXPmTFRVVQFAwGn0chITE9n3SqfTRczZeurUKbx69QqSJCEpKQlRUVHwer1ITExEdnZ2RLbxOrJ79260tLRAp9NhypQpE92cMSUjIwNJSUno6emBSqXCnDlzUF5eDgDIysoaJhjbbDZ89dVXzCn7wQcfIDMzM+LtunPnDh48eAC32424uDgcOXJkzHJ5Y2NjcfDgQbx48QLp6emjOvcHBgbw7bffspoHH3/8cciibDj89NNP6Ojo8PkbzXIarWtUkiT8/vvvqKqqgslk8plxMBp0Oh0yMjICLsPfe2gglZ8xFGgAlRe1+bobJGxT7nWgbev1ejZzyuFwsCLRKpWKibD07EGCNg1K8kWR/d03+b/TLC66h/PPGPQ3ftaU/DkgWMGZL1Dpb7/9/a7kCA/meSAuLo49x2i1WqSkpIz4nomCXPFjOVgmEAgEo0UI1wKBQCAQhAkVCQrEWOZeA0OdRYPBEFH3tT9Bnjqs1MGkziQJvuRcJbc2ObxIrKbiSjRVmZ++S51zPkuU2kHHT95hDOSior9Rx1uesS3P9pQL2G86kiTh559/RmtrK1QqFd577z2kpaVFdBubNm3C4sWLodFokJCQEPT74uLisHv3bjx69Ajp6ekjTqsPlsbGRva5DwwM4G9/+xscDgeioqLeaKeZxWJBY2MjkpOTWV44j0qlGlFQex2oqqpCaWkpcnJysGzZMsXPVKPR4ODBg+jv72fF9QoLC+F0OhXP/9raWgwODrKZESUlJdi6dWvE2/706VN2fbLZbOjv7w/pOxMqCQkJEcl1Lysrw8DAAIChXPqKioqQBqnCZXBw0Od3jUaDqKioiBSWa21tRWVlJex2O2w2Gy5fvoxdu3aNer3+4O8//ICrVquF0+lkIvFI0H2YRGsAPsWXeRGWn5lEg7gUEQb8WXQa+DMihJDfp/ntB4s8X5sEelo/Obzl93f+Oy0fpJcLznx7qVA0n+/Nb4siUPj/R4oho0FuvqA1YTabsXPnTty+fRsZGRkRnSUTSWhQQ7itBQLBZEcI1wKBQCAQhAF1boJ52B/L3GtguPuapruH69jjC04G2qZWq2VTfPmONbmlSEBXq9Us05p39tK0YrfbrehmomgR/nWltvL7T5EP1En3FztCx5+mOPMd2ZH2+3VwYFssFrjd7mEF6Ii2tja0tLSw43X16lXs378/om1QqVSKQmkwZGVlRTxDeMqUKWhsbITX60V0dHRQsyC6u7vx66+/wuFwoLi4GHPnzsXAwADq6uowZcqUccnFHg2Dg4P46quv2KDWrl27Amatktsy0jEYY01bWxsuXLgAu92OpqYmGAwGLFy4UHFZlUrlE/0QqMBiYmIiy/3X6XRj9nlnZ2djYGAAbrcbGo2GFXOTJAmVlZXo6OjAvHnzkJCQgL6+Pvz888+w2WxYsGABVq9eHdK2HA4H7HY7YmNjRy1WxcbGMmFVp9MhNjZ2VOsLlpkzZ6KiogLA0Pd67ty5mDVr1mslvvH3Nx56riBxOBjRmn8vzYpSek0Jf8WOlWKsAkVnURyJUjwIPfPw91kavDYYDEy4poHuSAzw8+IzFdjknwv8HQ/aRxLO6Wf6e7DMnj07Ym79sYKeY8dqdodAIBBECiFcCwQCgUAQBuQGDrYjM9a518Cf7mtyTlHxw1A6W7zra6TlKAJEpVKxbEpy8PCdZxKGScwmwZqyMOk4yDvK5M7mO7w0bRj4U0Tm40ho6rEkSUxQkTuqqU3y/Qn2+Iw3/f39aGlpQXp6elDCUFlZGa5duwaVSoXp06djy5Ytw5bhnYkqlSpiRc0mM3v37kVJSQk8Hk/QrtBTp06hq6sLAHD58mWkp6fj+++/h81mg16vx7vvvov8/PyxbPaoaGhogMPhYN+3J0+e+BWu7969iwcPHgAA1q9f71OYcLLT3d3NBD6Xy4XW1taIrDc1NRWbNm1iTu6xygDfuHEjEhMT0dfXhyVLlrCBg5KSEty8eRNOpxNlZWU4cuQIfvvtN3ZOPnr0CHPmzEFiYqLieh8+fIiHDx+yWQwdHR04efIkACAtLQ3vvffeqATCefPmoaurC69evcLMmTMjkkUfDBs2bMC8efMgSRLS09MjKlinpaVh1qxZLCpk/fr1EVs38GdBYMC/SznU+8xI6wP+LMBIM6N0Oh0bFKbzTclJza87kNjL37/5osckTPP7RjEkNGONokz0en1QsVW8+Kzkmg5mAJqe33iB+nUa+BgtNHgg3NYCgeB1QAjXAoFAIBCEAR9TESzy3OtgO2mhboOc0E6nE3a7PSSRXC4UK0EisSRJw5xUKpUKdrsd//Vf/4Wenh7m8pw6deqwAlAAWGeT4kTk4jXfGaVt868BQ9OhlZxgtC0SyJUKW0WKsXJid3d341//+hfrYB44cCCgQxQAbt++zZzUL168wPr164flV8bHx6O4uBh3795FQkICNmzYEPG2E3wHOZTvjCRJuH//PlpaWrBo0aKATuFg0Gq1IccjyJ2LTU1NLPbHbrfj6dOnk1q4njJlCrRaLZuF4c/F7vV68eDBA3beXLt2LSzhurOzEydOnIDL5cL69ev9Fv5zOp3o6OhAQkJCRDKRc3NzYTab4XA4oNFoIiowz5o1C7NmzYrY+pRQq9VYunTpsL9XV1czMdHj8aCzszPoQbeuri7cuXMHdrsdFosFly5dQk9PD2w2G4ChSIyurq6wZ0UAQ9e9devWhV1sVAmLxYLjx4/DYrFg6dKlWLJkieJ209PTI7ZN+bo3bdqETZs2RXzdNLhM9wv6LPwtS0WL5X+nLGoauPVXB4IXkGlAmc98ludKK8H/nWIx5DOZ+HOQn/3Ex3PQuug7Stum85sKMPKzr3ghWv6P9k++ffo7L04DQ9eccIs8vonIjQMCgUAwmRHCtUAgEAgEIUIdqnCn08tzr8fC8UJuplCn3/LFEeXwgjV1TpXWd+bMGXR3dwMY6iyePHkS//7v/z7MdcX/rDQtWWnZkZbx15ElF/lYiddj5cSuqqpixa/cbjeqqqqwcuXKgO8xm80sd1atVvsdHFmwYAEWLFgQ2QbL8Hq9+Omnn9De3g6tVov9+/f7jS+Rc+/ePdy9exculwuNjY04dOjQmOb+KrFp0yacOHECkiShsLAQWVlZzKmo1+sxderUcWnH/fv38eDBAxgMBrz33ntBH4ekpCTs3r0bZWVlyM7Oxvz58xWXk7sNw722nTx5kn33L1y4gPz8/GHnn9Vqxddff82uS/v37x9xMGYkzGYzjhw5gtbWViQlJSEmJmZU6wsGp9OJyspKmEwmTJs2LahruCRJuHbtGp49e4bk5GTs3r07YFG0zMxM1NXVARi6/qakpGDTpk04duwYHA4HZs+e7ffY8e5ZEkljYmLQ1tbGxL9IZEJHmt9++4055u/cuYPp06cHfc2Y7NCAF1+cWA7NXNLpdMMc0Pxg90hRWHwkGd275fe+YAo28gPC/EwpHoPBwAYnNRoNK0jNP0vwojXFh1EBRopGURKleZSixORRHv72h8R5IVz/mW0d6ZorAoFAMFYI4VogEAgEghAJ1LEKFnnutXw6baQgkdzlcrF4g0ARJ0qFGb1eL+v0Uk71SI5sHhL6I+3sUXI5BxKoAwnWgaZaT2SudXp6OgwGAztHgimit2fPHpw9exZ2ux0bN26c0I56Q0MDWltbWdGvGzduYMeOHUG9t7m52cc139PTM+7CdXZ2Nv7t3/4NHo+HCUbvvfceysvLkZWVhYKCgjHZriRJOHnyJBoaGmAwGGCz2eBwOGC1WnHu3DkcPHgwpH3Izs5mvz99+hTXrl1jsyFSUlKgUqmwc+dOnD9/HhqNJujPSI5cjFP6Dt68eRP9/f3sbyUlJdi4cWNY2+MxGo3jNpAgSRK+/fZbdHd3Q6PRYP78+XjnnXcCvsfj8aC5uRllZWVwOByw2Wy4detWwMJtr169Yj+TIDgwMIB169YhPz8fHo8HJ0+eRE9PD1avXu0T1ZGWloaMjAy0tLRArVZj3bp1iI6OhsfjQW9vL1avXs2ytCcTcrE2lIznyQbNspIPIvCFgnnISa1SqYYtwzunAx0TishSqiFB6yFx3F++Nd0//d1HSUCnSDASqskhTuskMZqfNSUvykjrpGNDf1cSpeleFs6zEsWURXqW2+sIzVITbmuBQPC6IK7cAoFAIBCECMWEjFZo5nOvQ430CGc78uKNSoIm7yQnwZoKkwXrztm6dSv+7//9v7BardBoNFixYsWYdZCUOtbBZFzKCSRqT2QxxtzcXGzevBlVVVWYMWMGcnNzR3xPTEwM9u3bNw6t+xOXy4Xa2lpERUX5iOu8m1SlUoXk8CwqKkJTUxM8Hg+MRiMyMzMj2uZgofgdIj09fVQxBV6vl32ngKEM84GBAaSlpbHvSV1dHerq6pjAyX9/As1O8AflxatUKly+fJlFgpw6dQqfffYZACAnJwdffvll2Pt169YtOBwOqNVq6HQ6LFq0aJib+Pz583j+/LnP3wLFJUxWrFYrrFYrK+764sULv8K1y+XCDz/8gN7eXmi1WnatIQdqIPjzTqVS4f79+6ioqIDX68WUKVMQExODqqoqSJKEc+fO4ejRoyyvXqVS4b333mP3FrpWms1mdHZ2oqmpCTNnzpx0jsv169fjp59+gsfjQV5e3qiiTMYLfzN5+CiMYOCX5QdMSST25ximnGa3282uD7y4TecdHxMih65zdK0Ahl9rTp8+jZqaGuj1ehw6dMhnZoM8Cow/z2lAmb+XKonSI7mmRwM9/wRbVPtNhQY/JuNsC4FAIPCHEK4FAoFAIAiRSLqHyZFFDquxyL0myH1NQjkVa+LjNXinFBVTNJlMIXX0kpKS8D/+x//wycEGwIrE8e0JVPBpJMIRqF9HxiNjdzR4vV58++236O3thVqtxsqVK1leb3p6OhYtWoQnT54gMTERxcXFQa83Ly8Phw4dQk9PD7Kyslghr9eZ+vp6nDx5EpIkYf78+cjOzsa5c+cgSRJiY2Px0UcfDZsRoVKpkJiYiIGBAWi1WsVim4GoqqrChQsXAAALFy70eS0cEVyJtrY2lJSUMCF22rRpeOutt4YtV1dXN0zgCxSVMVkxmUxs4EGr1frNDgeAiooKtLe3s4iF6OhoVjh31apVAbezdetW/PLLL7Db7Vi+fDnu37/PjnFPT4+PuxX4U1Dv6+tDTk4O9Hq9j0BVWlqKiooKuN1uFh8zY8aM0RyKiJOSkoJ//OMfcLvdYUfWjDeRjp+S12vghV/5tsg5S6IxvU4iNPCny5lfLwnVVHODBE1/9/qmpibU1NTAbrfDbrfj4sWL2L17t+Ky5ObmCyjT/XqkWV9jBT8T66/sNHa5XCyuRSAQCF4XhHAtEAgEAkEIUIcs0mIL34Ecq9xr4E+hnNxHtC9qtZp1NO12O7Ra7agLGclFB71e7+OupI4sdWLdbrdigcZg9kk+5ThSkJMN+HN6bTBiOWWM0369ztPdR6Kvrw8Wi4XtY2lpqU+hudWrV2P16tVhrTsxMRGJiYkRaedk4LfffmPfgSdPnqChocHnO9He3o709HTk5ORg+vTpqKmpQXR0ND788MNhhc6C5dKlS8xh/fjxYyxZsgQPHz6EWq3G5s2bI7JfcgHVn8s0KysLL168YNcak8mExYsXR6QN44larcahQ4fwxx9/wGw2BywGSVm/dF2bMmUK1q9fj/j4+BE/z/j4eHz66afs99raWub01ul0WLNmDc6dOwcASE5ORkdHBy5dugSPx4Po6GgcPnzY5zrc1tbGREy3283y8ycbdJ96nYhkpJT8PsbfE+XubhKcqQ10rillX8tjzpTuS/72QT6gLv+d1kkzs8j9TfnXarU65EHwSEPPF39V4Zoy0YXbWiAQvG4I4VogEAgEghCg6fZj0fkar9xr2pbBYGDua+oMU5zDWLhxyOFFLmvKzAZ8HWFUuJI60Gq1Gg0NDaipqUF+fv6wnOexdF5TW2n9wW5HkiQmFiohL3oVDB0dHSgpKcGUKVNQVFQ0aaY7R0dHs/NFo9EElcM9UXi9XthsNpjN5gk5fvIBr6SkJHR0dDAhl6beq1QqbNu2bdTbu3//PiwWC/tdkiQsX74cy5cvj+h1LDMzE5mZmWhpaYFGo8G6desUl3v33XdRWloKq9WK9PR0pKamsmiLyUBjYyOsVqtiUUk5UVFRQc0gmDlzJl68eIHq6mq43W68evUKHR0d+PTTT0MeAH3nnXdw9uxZAEPHMi4uDp9++imsViuSkpLwr3/9i113bDYb2tvbfSJ2mpqafNbHZ58LIg+J2WMpavOMVOiYXy5UUlNTUVhYiKdPnyImJgYbNmzwuVeTm1qtVrNIDsplnyiXtRyNRsNmm010WyYCl8vFTBICgUDwOiGEa4FAIBAIQmCsp5mOV+41vz3gz87wWE8h1el0sNlsPvtJnWi9Xg+v1wu73c7apVar0dnZyabLP3r0CO+///6oMoZDRd7Jj4QIQR39YNc1ODiIH3/8EVarlR1DpSiGUOjo6MDJkyfhcrmwYcMGTJ8+Paz16HQ67N+/H3fv3kVcXByWL18+qnaNFf39/fjuu+/gdrsRGxuLgwcPjnuhrh07duDXX3+Fw+FAcXExZsyYgZ6eHvT09GDFihURLZYnSRLu3bvn8zeVSgWn0xlxxx3lKTudzoCikFqtDuhOHisGBgZw4sQJWK1WrFu3DjNnzhy2zK1bt/DHH3/A6/UiISEBn3zySUTELbVajR07duCrr75CW1sbgKGBuu7ubqSlpQW9Hrfbja+++goOhwMajQa3b9/G1q1bYTabYTabAQAZGRnMVa1SqRAfH++zDt7FrNfrYTKZRr1/giHk13G1Wg2tVstE3NcNiiDhndsbN27E+vXrIUkSG1jnl6HCklRI0uv1jtlAeDhQjvZfMS7E6/XC7XaL77xAIHgtmRx3EYFAIBAIXhPGY5opTZPW6XRwOByKU35HA7my7HY73G43DAYD68y43e4x7WjzU8BdLpdPwUe1Ws3EFBIUvV4vqqqqmIvQbrejrq5u1O3QaDQ+Ik4wAhV1vpWmsFPxyrHqoPf09LDBBZfLhfr6+lGv8+TJk+ju7sbAwADOnz8/qpiVxMREbNu2DW+99da4i8HBcvfuXQwMDMBms6G7uxvV1dXj3oaEhAQcPXoUf//73zFnzhw8fvwYHR0dsNlsuHv3Lnp6eiK2LX+O6u7u7ohtQ06wBVyDpa6uDhcvXsSrV69GtZ7Tp0+jpaUFfX19uHDhguJsiPLycjgcDrhcLlgsFh+neiSYMWMGc1hrNJqQInCcTif+5//8nyzf2uPxKF4Hi4uLsWLFCsyaNQvvv/8+oqKiIEkSWlpa0Nraim3btiE+Ph5msxmrV68WIlYEkT8X8BEecoL5jni9XtTW1qKlpSUi7QsGmvVlNpvZjCxgaN+0Wi3a2tpw9uxZ3L17l90v5M8K9HxBs7omi2hNhBNH9ibgcrn+sk5zgUDw+jM5exYCgUAgEExCyEE0Xh2xsci99ng8LI+Wsq5516/RaITL5RpTt7dWq2VOa9ouTeGl4pQ6nQ4ulwvPnj1DaWkpizIxGo3Iy8sbdRs8Ho9P51VJqKfPmdpJHXWl/N5wM6yDHSBISUmBXq9nU33nz58f1vZ4+DaP97k9EZjNZiZaUN5qOLjdbly6dAltbW1YtmwZCgoKwm5TY2Mj+xw8Hg+6u7uRkJAQ9vp4SktLhw16abVaJCUlhb3O2tpa1NXVYdasWSG5hcOhubkZJ0+ehN1ux7Nnz7Br1y7k5uaGtS55lrPL5RrmOk9PT8fg4CA7P8jFHClWrFiBhIQE9PT0YN68eSPGhEiShBcvXsBqtbKBRh6lgpBUHJXnwoULePHiBQCgoKAAX3zxxSj3ROAPvV7P7g+Bru0jXfclScKPP/6ItrY2qFQqLF68eNQzbPxBA8b8tZ8GsIE/B5vtdju+//57WCwWaLVa9PT0YPfu3YoiMN2vPR7PpBvIpPoefyXos3gdC+EKBAIBIIRrgUAgEAiChoS98XSskAPK4XCMKvfa6/XC5XIxAVyeN0n7Ri4pj8fDCipF2kVJHWGXy8UchCaTCZIkweFwsA6WxWJhheVUKhWmTJmCrVu3IjU1NWJtCUQkCz2q1WpoNJqwBW69Xo9PPvkENTU1iI+Pj0iO9DvvvIPz588DAJYsWTLpBIZIs2LFCnR2dqK1tRVz5sxBTk5OWOu5fv06nj59Co/Hg99//x2pqalhi80LFy5EY2Mjm/nA5xGPlrt37/oUbSsoKEBxcTEMBkNY66uursaZM2fgcDhQVlaGPXv2oLe3l029z8rKipjoDgzlMZNY63A40NDQELZwvXLlSly6dAkAMH36dHR1deGnn35CVFQUtm3bhujoaGzbtg13796FxWLBihUrIj5oR59BsFy5cgVlZWXweDwwm80+Rfl0Oh02btwY1HpevnzJjmNlZWXQ7xOEhnwwdDQ4HA50dnYygfXJkyd+heuGhgacOnUKXq8XxcXFKCwsDGlbFM/lD6rX0NfXx/aPstqbm5uRlJTEzkt6TtBqtSyWyOPxsAKlkwFqx5s+UMszUoSTQCAQTHbe7B6KQCAQCAQRZKKq0atUKhgMhrCc0CRYU+fRnwgt78RpNBrmvrbZbBEvrsSLuDQYQIUZqTglidoAmEN8vETrSOP1ekcthJtMJsyZMydCLRqKLsjPz2eDGRNJeXk5rl27BrVaje3bt49J0TitVovdu3ePej3d3d1MwJEkCQMDA2ELtnl5eTh48CC6urqgVqtx+/ZtTJs2LWyBlic+Ph79/f2snTU1NaPKH3/16hX7TjocDhw/ftyniKrJZMLBgwcVIzAoNoHEE6/Xi5MnT6KpqQlxcXH48MMPh7kB8/Pzce/ePdjtdhgMBkyfPh0XL15EZWUl4uLi8P7774+Y1S1JEk6fPs1iNTZv3oypU6fif//v/w2bzYbOzk6cOnUKBw4cgFarxerVq8M+PkrbPnfuHGprazFlyhTs3r07pO/ZixcvfNz4s2fPRnV1NWJjY7F3796gByCMRiNsNhsARNxFPtloa2tDT08PcnNzX+sYFP4er1arA86SOHfuHAYHBwEA165dw9y5c8fkOSUmJgZRUVHsecJut+Obb77BmjVrsHDhQjbwTY5mo9HoM4NLp9MxQXsioVxumlnxpuPxeCBJ0hs/MC0QCN5sxBVMIBAIBIIgmciplnwxQ4fDwSI1/EFCkdvthlarhclkCthhVCpWRNukjqjb7Y5YjjO5rp1Op4+gy7uxExMTkZqaivb2dgDA2rVrg1pvKEUPX0c0Gg28Xm9E9k+j0Ux4kSqv14srV64w19/Zs2fxt7/9bUy3KUkSLl++jIqKCsTGxuL9998PWuhauXIlWltbAQDR0dGjdr8nJSXB4XDg559/ht1uR3l5Ofbu3asYBREKO3fuxNdff42+vj4AQ6679vZ2TJkyJeh19Pb2oq2tDZmZmZg1axYqKirY4Jn8HLTZbKipqRkmXNvtdnz33XewWq2IiorCoUOHUFtbi9raWiZq3bt3D2vWrPF5X1JSEg4ePIjGxkZkZGSwyBCHwwGbzYbr169j06ZNAdvf19eHuro6JtzeunVr2Oc1mizrJ0+eoLS0FFlZWSguLva5Nr548QJVVVVsHx8+fDgsxiMQOTk5qKiogNvthk6nw5YtW8K69n744Ye4cuUKVCoV1q9fH/L7XxcqKyvx22+/we12w2w248iRI2HPLpho1Go19u/fj5s3b8JkMqG4uHhU66OBYd4ZHer9Q61W46OPPkJ5eTlu3LjB6m88ePAARUVF0Gq1PnUr6LylZxVyX49lLYhgoYHziR6wHWvkA4YCgUDwuiKEa4FAIBAIgoByjie6wzVS7nWogjURyHVL7mu32z1mzilyP1HbgaHO9QcffICBgQEYjUY2aBCo001/p/8pT/tN4q9YWCrSNDc34+nTp0wEvXr1KrZu3aq4rNvtRkVFBTQaDWbNmoXMzEx8+umnGBgYQHJyckSE/4aGBp9YjPr6+lEL1yaTCdu2bcPx48dZpnMo8ShtbW04duwYE6A+/vhjvP/++2hpaUFqaip+/fVXn6xYo9GoKOKXlpaiu7ubRQGVl5cjKiqKvc5n3ctJTExkQnhtba3Pe4L5XhsMBp91R0VFITo6Grm5uairq4MkST4DYl1dXXA6nUhLSxvx+tbS0oIrV66wWIeoqCgsXbqUve52u5lQSDNfQmHz5s1IS0vD4OAgioqKwr73xMbGYteuXYqvdXR04N69e0hISBiTeJTxpLS01Oc71NraOqqZC2q1mg2i0sDueF57ExISsGPHjhGXe/fdd3Hy5EkWFaLRaHzqM9D//Pcg3EFPnU6HefPm4fbt2wCGjlFKSgr7rlCtBL1eD7vdzp4TKIJsLJ8hQoFid2iQ+02F3Nav8/daIBAIACFcCwQCgUAQFBQTMhk6OUq518CQUOJyuZjQHKzQEUwHjpzQ5L6OhHOKjqnH4/GJBeHdYSqVCrGxsYptAXzFIXqN75QriVt8xuVo4TvsrwuSJOHmzZtoaGjA/PnzI1LoEQBqampY4b709PSg36dWq7Fu3ToWFbJt27aItCcQ/GcvSVJAQerYsWNoaWmBSqVCRUUF9uzZA7PZHHbsQnt7O65duwaz2Yx33nkHRqMR+fn5uH//Pux2O4xGI6ZNmxbWuuVkZWXh4MGDaG9vR3Z2NqKjo4N+b3l5OXMqu91u1NbWorCwkH22+/fvR0lJCTv3/X3uBoMBGo0GbrebCVgzZszAkydP0NraipiYGCxbtmzE9uTm5iIrKwtNTU0wGo3DHNpKmEwmbNq0CdevX2c51gCwfft29PX1wWAwMKf93bt38eDBAwBAdnb2iLEyfOavy+VCZ2enz+szZ87Eo0eP0NPTA61Wi6dPn6Kqqgo7d+5ESkrKiG1Xq9UoKioacbmRGBwcxNOnTxEbG4tZs2axa5bD4cCPP/4Iq9UKjUaDwcHBER3sY0VPTw96e3uRmZkZ9qymnJwcNDc3w+VyQa1WK0bWhIrT6WTn92QdMMzKysK///u/A/izjfx9MNL3Jp1Oh/fffx83b95EfHw8+x6SQOr1eqHVan0c2NQmeoYY6wLQI8HHhbypERpkYoh0jRKBQCCYCN7MK7VAIBAIBBFmsuUh8rnXJC6FKlgToRSdjJRzKlAhK+pUkmtLqb1OpxMajYY50NVqNdxuN9xuN+uoK4nK9Dfa59GK17TuSKxrvCgpKcEff/zBxLbk5OSQhGYl+MJ9T548wf79+0OKpIikgB4MWVlZyM3NRX19PYxGo9+p+JIkoauri52rzc3NAIbiL06dOoWenh4sX74cCxYsGPZel8uF8+fPo62tDUuWLMHChQvhdrtx7NgxWK1WqFQqDA4O4sMPP8SUKVNw4MABNDY2IjMzM6RjNxJJSUkBM3L9kZmZifLycjidThgMhmFtSkpKUiz019fXB41Gw0TywsJC1NfXo6mpCdnZ2Zg9ezbUajXef//9kNqjUqmwd+/ekIuqzZo1C7NmzRq2rvj4eJ+/PXr0iF1vGhoa4HQ60dHRgZs3byI2NhbvvPOOj6ial5eHqKgoOJ1OqFQqLFmyxGd9Wq0Whw4dgtPpZJnaAHDixAl88cUXoex62LjdbnzzzTfo7++HTqdDW1sbc5j39/f7iLJ0bo83NTU1OH36NLxeL8xmMw4fPhyWeL18+XLo9Xq0trZi0aJFiImJGVW7In09t1qtbNA5EvCuavkA7ViL7Glpafj444/ZtmjgWavVMjFYp9PBZrOxezTfbr1ezwpAazSaCYmyoMG0N1W49ng8zO0uEAgErztv5pVaIBAIBIIIMxkK2PGQS5Q6J+R2CqeTEqoQJHdfU/b1SM4p6mD7mzJPxRlVKhXr1CpBojbtNy1LBYhI9CAhW94GEmsCCROh5kiHK3JMRBZ3Z2cn+wzcbjd6e3tDEq4lSUJpaSlaW1tRVFSE1NTUYYX7WlpaIiq+RhqVSoVdu3aNeO6rVCrExMSwfUtMTMT169dRWVmJ3t5eAMD169eRk5MzrEAjLSdJEn7//Xc8f/4c27dv93FCdnd3s+WTk5ORnJwc4T0Nn4KCArhcLtTW1mLOnDlBnSOXLl3Cs2fPAACrVq3C4sWLoVarsXPnzoi1K5JCTEdHB4tS4a/vWq0WXq8Xx48fh81mg1qthtPp9IncMBgMOHr0KDo7OxEfH+83I12j0fh8x8fTudvf38+ugS6XCy9fvmTCdWJiIsxmM9xuNzQaDRYuXDhu7eJ5+PChzwBlc3Mzpk6dGvJ6VCoVFi1aNOr2OJ1ONpNg8eLFEalrce3aNZSVlQEYqtVQWFg46nUSEzXbh2Z30QAynWcUT8HXsTAYDD7CtEqlglarZc8Q/CD4eEHbfhPjQoTbWiAQvGkI4VogEAgEghGYbFmIHo8HLpcLkiSxuA7Kj1XKvR4JmtobKuS+JscVuazkmduU7yoXd3nHNLWdYkgIJWGXF7UpbkSn0/k40AKJzvJCVUrIxSW1Ws2mPocrFCi5snl3eCQFiEDrW7RoEV6+fMmySPPy8kJa9/3793Hnzh0mhB0+fBgFBQWscJ/RaER2dnYkdmPMCUYEpUgMtVqNhoYGPHjwYNjnqDQzgHe0AkOCXEVFBVJTU1lxRz4TeTISihPe4/Hg2bNn7Fjcu3cPixcvHnUbGhsb8fDhQ6SkpGDFihURFa7PnDnDildShInb7cbbb7/NHNLA0DWyq6tr2Pt1Ot2Igr5Go8GyZctw//59ABjXAomxsbHs2q7T6XwiaDQaDT7++GPU1dUhJiYGqampAddVWlqKO3fuICYmBrt37/bJKX/+/DmuXLkCrVaLXbt2jbguoqSkBK2trT6Dr/IBoPHmp59+QktLCwDg5cuXzFkcLh6PB2VlZex7cfPmzaCE65FiqCZqho9arWYDuy6Xy8fVS7MPKBOcBG1/kRw0c4zu6R6Px+dePpZQu9/EuBCKZRLZ1gKB4E3hzbpKCwQCgUAwBlAnbKKFa16wJscztYncynzudTDtJZE33I6iknOKXD4ul2uYAExCtdPpZA5HXtQmIZqW8+e8pvXyWde0LyRM02CDXq9nDiSaHhyKSEyCM98Oj8eDnp4exMTEsIzxkQgkNETaNRdofVOmTMHRo0fR09ODKVOmhOworK+vZ45tEvSmTp2KDz74AC0tLcjNzZ1w8SmSGAwGrFy5EsBQnAT/ORqNRqSmpiItLW3Y+9566y3U1dWxY0UzDqjAodFojEgO72jxeDw4d+4cmpqaMHv2bKxZsyasa51cKPHnQA6F3t5e/Pjjj/B4PHj58iXcbrffWJdwkOfjb968mbVbkiQkJCSw79KKFSvC3s7y5cuxePFiFoM0Xmi1Wnz00UcoLy9HTEwMZs+e7fO6TqfD9OnTR1xPf38/rl+/DrvdjoGBAXz77bf44osv2OyYixcvMmH21KlT+Pzzz0dcZ1tbG27dugW73c5qGWzZsgVxcXHh7WyE6OnpYecFDWqMBoqyIoK9X4z2nhBI+KZ8Zyo+OdL75IUpSbCmWV7ymgFOp5PNntLr9SwSxN91hWLOKPt6vIo3vok51/SsE6lIGoFAIJgMvDlXaYFAIBAIxggSUycK3rFMRY+UOnR87rXdbofBYBhRkJbnQYcLPy2YL7QIDI/2cDgcUKlUcDgcinnUvONKqf28m5jEaBIHKKvb5XLB7XazzjN1pqlDrOSQJV69eoWLFy9Cp9Nh165dTFyUJAm1tbUYHBzE/fv3WU7xBx98EFSxtbFmYGAAdXV1mDJlyoiOx9EUFywsLERrayubikyibVpamqKA+yYxe/ZslJaWwuv1IikpCbt27UJMTIzi9yclJQVffvklfvjhBwwODiIqKgpFRUVQqVTIyMiYgNYr8+DBA1RVVcHj8eDx48fIyckJO6rhvffew2+//QatVhuRIpt37txhgpkkSairqxv1Onm2bduG48ePw+12Y+nSpT5iu0qlwoEDB9Da2gqz2TwsEztUJkoci4qKwvLly0e1DvkgZF9fH549e4a5c+cqzogJBqvVygRPSZKQlpaG3NzcUbUzEqSlpaG+vh4AInJdV6lU2L17Ny5cuACtVosdO3aMep3+tsN/FvLaDnq9ng3aUs0OuWhN91L+7yQ8089arZYNEnu9Xng8HvY58hFbFLFDgrXb7Q4Yt0Zt1Gq1ESsAPRJUKHIyzagbLS6Xa1iuuEAgELzuCOFaIBAIBIIAUCdvIvKtSbCm7QeTV8h3UMn9HEgwCaUwIwA0NTWhp6cH06dPh9FohNfrVcySJkiEpunC1MGlTjYVaiLXlt1uh8PhYE4oJbcYrZOmJDscDh/RmtrDu85pWjAJ2v7weDw4e/Ysiwn49ddf8emnnwIALl++jPLycrYf1LY7d+74ZN9OBBaLBV9//TVsNhv0ej22b98ecgRIsMyaNQvx8fHMaT0Rzi6Px4N79+6hp6cHy5YtG7c87eLiYuTl5cFqtSIpKQlmszngd8dsNuPo0aPjUgSMnK+NjY0oLCwMOobEYrEwsdHtdvtEZIRKamoqPv74Y+b6G4nOzk643W6kpqYqHkf5OkIRNsvKynDz5k3odDrs3r1b8RxJS0vDP/7xD7/ClVqtjvggg9frxf3791nRzszMTJ/XJqPglJiYiISEBLS3t7O/9ff3AxgS5FeuXIk7d+5ArVZj8+bNQa0zOzsbCQkJ6O/vh0qlwqpVq8ak7aGyZ88eVFRUQJIkFBQURGSdmZmZ7D4yVvCDwCQWk4ip0+nYswzBu6QpCkse1WUymYbls9O6Kd+a1k2DwfJ7Ngnc9I9EVX/XzUgVgA4Gem6gWXWvO/Q8JtzWAoHgTUMI1wKBQCAQBIAEjfEUE0j0IbHLZDKF3GmTZ0f7y70ORSh5/PgxLly4ALfbjejoaBw+fNgnZkKtVjNR2ePx+BRipE4uFUfkf3e73T5CMP2NYkjoZ/oseAGQphg7nU7W+aRpyvx+0XZJtFbKgFaaIs3Hg1RVVQ2LLdFoNKN2YgaD0+nE48ePoVKpsHDhwmEDKU1NTeyzttvtePr06ZgJ18CQQBlsju1YQIMIbrcbtbW1+OyzzyLSWXc6nfjpp5/Q09OD3NxcvPvuu8OKiiUnJ+Prr79mBf0OHTqE6OjogOsNJFr39/dDrVaPuI6RePDgAZ49ewa32407d+4gPT0dWVlZcDqdePr0KbRaLdLT06HVan3O2WXLlrEYjqioqKCiIwLR2dmJH3/8EV6vF9nZ2di5c6fitefWrVusCF5cXByWL1+OWbNm+Sy7YsUK1NfXw+PxwGQyBR3X4XQ6ce3aNSamnT59GkePHvW7fCREMZpNMpJL9NatW3j48CHcbjcaGhpw+PBhGAwG/Otf/8LAwADi4uKwf//+cRsspXglSZJw+/ZtNDU1oaioCDNnzmTL0MySr776it2X+OzzJUuWsDzzYI8lxZj09/fDbDZHpAgiIUkSzpw5g7q6OiQmJuK9994Lev1qtRpz5syJWFvGA3JKy++nBoOB3Wf5mVD8/Y+iueT3Npp9QO+jKA+lKDJ6RtJoNDAYDOx7J4/Hosgt/hlAKUIk3ALQ4UCD5G+CcC3c1gKB4E1FCNcCgUAgEARgPDs01OmkzodcfA0VtVo9Yu51KIUZ//jjD9Yhtdvt6OzsZG5E6hxTp5Q6sTR12OPx+Di5yIFNzityPVFnmtoOjDz1nBxaDoeDxYHwhRp5AZ3g3WkkjkuSBK1WiwULFqC0tBQA8M4777D3pKamwmazMRHNbDYjPT0db731VlDHbzQcO3aMFfR7+fIlDhw44PN6SkoKdDod6+CHE/XgDzqGEzHrwB9NTU1sEEKSJPT390dEuL579y5aWlrg9XpRXV2N6urqYULu06dPMTAwwKbDl5eXh51/fPXqVTx58gQAsHLlSixZsiTstvf19bFj4vF4YLFYAAA//PAD2tvbfTLfFy1axM7b2NhYfPHFF7DZbIiKihq1iHv58mUMDg4CGMpDb29vVxzkKC0tZdeT9vZ2nDt3Dq2trVi3bh1bJiUlBZ999hn6+/uRlJQU9LVKno0faJZFJPB6vTh27Bg6Ojqg0WgwY8YMREVFYfHixcMEU/7c9Xq96O3tRWtrKzo7O9kMkvLychQVFY1pm4Gha/rt27ehUqmQl5eHFy9ewOVyob29HYmJiUhOTmbLms1mfP755+jr60NsbOyw60G4uehjMfD38uVLVFdXs7oL9+/fx+rVqyO+nYmCv7/RfYu/19IgLs0ykt//SOSmey+J07ygTevii0Dr9Xq/UWRyMZyK/zqdTuj1euYG5pd1u91wOp0+zwtUo4LayRdvJId3JN3XGo2GxZa9znEh9HlForaAQCAQTDaEcC0QCAQCQQDGo3APdeCoEvxoBWueQLnXoRZmzM3NRVtbG1wu1zDBQS4u07Rgf22iwQDqbJGATDEn5Brj28r/rwS5uKhwlEqlYkK6HJoaTQUvebd1cXExli9fzhzkxM6dO3H//n3Y7XYsW7ZM0SEbqCDWaOALhnV3dw97PSEhAXv37kV5eTmys7OHFWELF7vdju+++w5WqxWxsbE4cOBARAVsm82G5uZmJCcnh1SUraioCNeuXYPX64XJZEJSUtKI75EkCZWVlbDb7ZgzZ46iA5OPp6Hvh5zY2FhotVrmuI6JiQm63TxerxdPnjxh4u39+/dHJVwvW7YM1dXVkCQJRqMR+fn58Hq96Ovr88kSttvtePz4sc+Ai0aj8Tmf29ra8Pvvv0Ov12PLli2IjY0Nuh3y4nP+zpfo6GgmcAND4vLLly99hGtgyPkZqhgjz8LmI0b6+vrgcDgwZcqUiAlV9fX1aGtrYwLgo0ePoFarUVNTg4MHD7LlbDYburq62O96vR6pqano7Oz0EevonvPq1Sv8/vvvLG8/0Hne1NSE5uZmTJs2Laiinx6PB7dv32bnX1VVlc/AR29vr49wDQy5pIP5rk00/P1HHpHxJkD7RgO/fLwWOW6VYn/onsYPnNAAMgng5Kinc5kvuiqPIiNHN73GZ11TDQQSu2ngnNqo9BnJiz46HA6YzeZhBaApPiQS8M8Yr7NwTfej13kfBAKBwB9CuBYIBAKBwA8kXI2V41reWQummGI4+Mu9DiYGhW/jihUroNfr0dHRgSVLloRU3I8c1bRO3nlF25c7o+12u2LbKDqE/pHTm9xYLpdr2LRneVsA3xgQudAsF99o6vLatWuZO1sJ+juJB9QufyJosEyZMgVNTU1QqVR+C4ZlZGREPI+3pKQE3d3d7Bg/f/4chYWF7HWr1Ypjx47BYrFg+vTp2LRpU9Ad58HBQXz11VdwOBzQarV47733kJ6eHtR7FyxYgNTUVAwMDCA3Nzeo7+iFCxdQUVEBj8eDkpISHD16dFhbV6xYwQpwpqamKsZmzJw5E21tbXjx4gWmTZsWdqyAPPZGfs6FSkJCAj7//HNYLBbExcWxYxITE8NiZAjenX758mU8f/4cUVFReP/99xEVFYWff/6Zicq//PILjhw5EnQ7Nm7ciIGBAQwMDGDx4sV+RdS9e/fi999/R01NDcvxnzZtWhh7Phy6RgBDx5lE+bKyMly7dg3A0Pdl7969ERF6lD47r9eLnp4en79VVlb6iImzZs2CXq9HYWEhXr16hba2NqSnp2Pu3LmKefufffaZ4vZrampw+vRp2O123Lt3Dx999JFfJzOdB2632yc+wmAwQKfTwev1wmg0Ijs7O6RjMJmYPn06MjIy0NHRgaioKCxbtiwi621vb4fT6URmZua4CoS8m5lEZhJ3+SKJQODZBXwxQlof3TPJVU0Fj+lerJQvTX9zOBzQ6XQ+EWHURmozXeMoRofaRwOH9IxB+yFJEqxWK7755htYrVYYjUYcOXIEMTExPu5rKt4Yic9Bo9Gw2UqvI3T8Xtf2CwQCwUgI4VogEAgEAj+EWrgwWEjEdDqdTFQejzgSee41FSYi7t69i/v37yM9PR07duxg7ihCrVZj6dKlPjEb9H5+Od51zGdvKgm3tA46zvReKkqpVKSROtRKRaCCiQTw1w7qaCuJ0vS3YArOAb7iQSTcfu+99x6eP38OAOOav0piBrny5B3j69evo6Ojg7mZ586di6ysrKDWXVdXx6JXXC4XSktLgxaugaHCemlpaUEvX1NTwz6/rq4uPHv2DHPnzvVZxmQy4ejRowHddyqVCsXFxSguLoYkSaipqYHX60V+fn5IA08qlQp79+7FhQsXoNVqsXXrVr/LSpKEK1euoLKyEsnJydi1a5eiSKHX64cJxQcOHEBpaSkcDgfq6+uh1WpZAb3W1lY8ffoUdrsdVqsVV65cwdatW33OWavVGvQ+AUOREh999NGIy0VHR2PPnj0YHBzEkydPEBMTE/a53d7ejo6ODuTm5iI6OhoFBQUoKytDd3c3oqOjWf4y7zBuaWnB4ODgqLPFASA9PR2LFy9GWVkZG4BTq9U+hRcBsIgNijRKSkpi15z33nvPZ1n5AFmga09VVRXbL4fDgaamJkXh+vnz57h48SIADPueLlq0CHPnzkVvby9SU1MjIoKRw99oNI6r0KvRaLBv376Iumhv3ryJR48eQZIkZGVlYe/evRFZLw/dL91uN4vbkN+TKJOciiLSuSa/XxO86K10DtH7+dlPtBwvZMuPI9WXoJgNGqDlX6f7Bg2UO51ONluFF7fp/kvtePr0KZtlZLfb8fDhQ6xYsYK5v/V6PTweDytGrNS+UI97oMHuyQydA8JtLRAI3mSEcC0QCAQCgR+o0xXpdZLjiYoPjWdng8+9pinBwJCIQ8XM+vr6YDab8fbbbw97L/1PQrQ/oRcA60gHEm4DRYoAyh3tSMdwKBWZkgvt9LdIbztY+GJoI4nskaSoqAj19fVobW1Fbm6uT8E2AD655PR7sCQlJUGn0zHnXKTd4nLS0tLw8uVL9vvt27eHCddEsN/J06dP49WrVwCGhEC5+DgSqamp+OSTT1jxNH9CW319PcrLy+FwOGC1WnH37l0UFxcHtQ29Xo+lS5cqvqZUPE2r1WLmzJmoqqoCACxfvjykfQqVqKiosDPCAaC2thanTp2C0+mEyWTCJ598gujoaBw8eNAnbshqtfqI8F6vN2SXeyAhNDc3FxUVFTCbzZg7dy5iYmIwY8YMn2Xy8vKwbNkyVFRUYOrUqcjPz8d//ud/wm63IykpCR9++CEbxNRqtVi0aBFKSkoA+Obty5k2bRoqKytZLQN/A0BXrlxhAndtbS37u1arRVxcHGJiYsKOvpHjdDrx7bffwmq1wmAw4NChQ+OevxvJeyufyV5fX8/EQq/Xy2ZyzJ49O6gIC6XiwATFYtBMFHIk88uTCEzPKCRm8+ulWVxer3fYYC85pnnBk49Uof/p+mCz2YYNMNM/igKhNtIMMt5JTeui1wGwY6mE0Whkwr1Go2HZ+/LnBRLWyS0d7vMaf89/3Qob0nF9E4pLCgQCgT+EcC0QCAQCgR+8Xm/E8nyp80jrHG/Bmoc6tHa7nYnXg4ODPkWZBgYGhr1PSZTk/+ZPTJW7quT5nNTx4gtM8dOGR4KPIRkJcoGRA5Day7dbSUwfTcyHErwrnY4LOdYo61zp2NJ7xktA12g0AZ2FxcXFaG5uhs1mQ05OTkjxAqmpqdi2bRvKysqQm5vLhPmxYsuWLfhf/+t/MTd8JJy29fX1zKnX0tISlsPTYrHgu+++g9PpRFxcHA4cOACtVguLxYK2tjakpqbC6XT6CECBRJ9QSE9PR35+Pl69egWj0cgGqzZv3oxly5ZBq9WGJGS2tLSgoaEBeXl5mDJlSkht8Xg8uHXrFioqKpCZmYktW7YME2Psdjt6enqQlJTEHMHl5eU+buOGhga8evUK1dXVSExMxJ49exAVFYWGhoZh+x7s9d3lcuH7779HX18f4uLisG/fPh9HsiRJOHHiBBPG3W73sFiPwcFBDA4OYvny5Vi5ciWAoZgWihNpbW3Fy5cvMWvWLPaet956C0uXLvXJvVZi+vTp2LlzJxobGzFz5ky/8Sy8KEeO7/7+fqSkpAwblBotz549Q3d3N7xeL2w2Gx49eoRVq1aFtA6n04mffvoJPT09SEtLw549eyZMWOSPv8vlQmdnJ9LT03Hy5EnU1NRAkiQ8fPiQ1VXYvHkz8vLyhq2HihBSHQceisHQ6/XsHk2DK/LZRCQuk/taPsjLR38AvgO+9F6qp0Gv8S5/2l+6D480yMwfG6V2BgM9ExQUFKCpqQkvX77E1KlT2XeA2kHFneXZ/RQXFuo5QvffsTArjCU0gCHc1gKB4E1HCNcCgUAgECgQKfcNCdaU4RqpTMZIQK5vu92O7OxsJCUlobe3FyqVigkMJJiQgEQda+BPEZg61jTVWN65JdGVOp60//LlqChjIJxOJ27dugW73Y5Vq1YhLi5uxM40L5jTspTtOlEOarl7Tu7wlu/TRLVzJKKjo/H555+HPSV/2rRpEcs1HgmTyYRdu3bhypUriIqKwvbt20e9zri4OJZBTK7AULl//z76+voADIk+L1++RGpqKr777js2sLRv3z6kpKSgu7sber2eCZ+jRaVS4d1331X8/BISEkJaV2NjI44fPw673Y779+9j//79w4r7EZ2dnWhoaEB2djaSk5PR1taGH374gX0vLRYLkpKSsGLFCthsNjx8+BButxtPnz6FJEnQ6/X4+OOPYTabMXXqVFRXVzMB58mTJ6w4Y0tLC86ePYsPPvgAycnJPg7/YM+7pqYm3LlzB+3t7fB6vXA4HHjy5AmLHwGGD3bJYwd+//13lJaWQqPRYMqUKTh48OCw4q9utxt1dXU+wjWAoCM7pk6diqlTpwZcZvv27Thz5gwkScKWLVtGXF4JSZJQW1sLr9eLvLw8n3tkWVkZrl+/Do1GgwULFvi4ZsNxW5eUlKClpQVerxf19fWorKyMWOHZUMnKysKzZ88ADN0Xe3t7kZ6ejqamJnbf6uzsZMufPXsW//znPxXzoYE/o7RILOVnKJFz3mAwMOe1P5c2vUcpU5rWT8gHlwMNgNE1gQZUlfKrgx1c9gc5tvmIMEmSYDKZsHPnTsXlSfgH/vze0SAAP8NLq9Wy4xbMdZkvuPu6QJ+7cFsLBII3HSFcCwQCgUCgAN+ZDAeaEkvCk8lkmjSCNfBnp5Tc3w6HA5988gmsVisT4Chn0+12MyGGLyKpUqlgt9t9ij1ptVqWvck7pwFfhxh1tnjnsXw6tBKnTp1ioklVVRW2bt06olOQ76jL/xcEj8ViwZUrV6BWq7F27Vofx/JkOrcDkZ+fj/z8/Iit74MPPsDt27fh9XpDdpMSNC2erjk3b96ExWJhzkWn04kXL17g4MGDY+aui8T6Xr58yYQwm82GhoYGReG6vb0dP/zwA1s2Pz8fDofDp1Cgx+PBwMAAJEnCd999x1zJ9L11Op14+PAhUlNTMXPmTKhUKjQ2NmLevHk4ceKEz/YsFguAoWianTt34vHjx8jOzkZRUdGI+1RfX48TJ074CHxKQpFGo0FhYSHKysoAAGvWrPE5LqWlpWw2RUdHByvCuHDhQty/f59dI6urq0dsU6i43W5cuHABra2tKCoqwt/+9rdRre/s2bMscoePx3G73SxuChhyws+ePRuvXr1CVlYWFixYEPK2lOoYTBRLlixhefYGg4GJ/snJyWhqamJxHfzMCDmSJOHUqVOorKyEwWDABx98gISEBPZevtgiOYjpHjwSdKxIzKSfCa1WOyxz2uVyMYGXYsxoWdoH+QyfcGo28GIztZWeG/jvPfBn/Ic8koT/xy/L7w8/s40fCOcH4P1d6+jYRzIXfSyhYziZzBACgUAwVgjhWiAQCAQCBcglFiqTXbAmeDc5n3ttMpl8Mi/5Ik30PioqqdQxpym8JGxTZ5CEOflUXuoU846xQPmfHR0dbLtOpxPnzp2DxWLBokWLIn6MBL788MMP6O7uBjAkPh49enSCW/QnLpcLt27dwsDAAFatWoWkpKRx2a5er0dKSgoGBgbCLsK5bNkytLa2oq2tDSaTCR0dHT6v63Q6pKamsu1NJp4/f47r168jKioKS5YsgdFoZMX45IUJiVevXvkIwbW1tcMEbrPZjKVLl7ICbErxQyUlJZAkCfHx8Th8+DDLK585cyYeP37MriV8NnRubi5yc3MD7tPAwABu377N8oH5tur1emRlZSnG2qxduxZLly6FRqPxyc6m4qU8UVFRbD+NRiOLGFEqqChHkiQ8ePAAdXV1KCwsHObQlnPr1i1UVlbC4/Hg5s2byMzMZOdTONTW1rKBzObm5oBCHxUBDZfFixfj5cuX6OvrQ0pKCgoKCka1vtGQmpqKI0eOoKenBykpKewz3rt3Lx49egSPx4Po6GhcvXoVwND5ID8unZ2dqKyshN1uh91ux8WLF/HBBx8AGB4BRQMdoaLkMDYYDHA6naz4I62fCkHKtxPOdvnta7VaFnlFMxyUnOdUKBoAG0SXx3fx4jkfreXvH30ufAY4RWpQ+zQaDStWzbebnlOCySmfaNxut3BbCwSCvwyT/6osEAgEAsEEwEdgBAN1Ml0uFzQaDcuOnKzIY1D4IksUfSBfnuA72NQpJEFa3jmlqbskuLndbuYk49fLC9okXNPx9Hq9uHbtGjo6OpCZmYnq6mofN2pVVdWECtd8oSsl+M40udpoX0m0D1f0HE/486K/v39MnGl2ux1Xr16Fw+FAcXFx0HEV586dw4sXL+D1etHQ0IAvvviCTfmWJAllZWVoa2vDwoULkZKSoriOrq4unDx5Ek6nE+vXrx9WWE+Ja9eu4fHjx3C5XCgtLcVnn30WtOjR1tYGm82G7OxsliN+8eJFdHZ2RmRGgNPpxLNnz6DX61FQUBDx65HNZsPFixdht9vR39+Px48fY8+ePairq8O0adP8Hufs7GwmbAFDn8/s2bOh0+nQ19eHBQsWsHxtYEjMpcEyvV7P3kdC1ODgIPr6+ti58s4772Dq1Kno6+tDQUEBE4mDgRze/f39UKvVSE5O9hHj9+/fHzC722w2D/vbnDlzUFJSwopvrl+/HrGxsQCGrnsffPABrly5AqPRiI0bN47YxrKyMty+fRsulwstLS2Ii4tDWlqa3+X7+/vZ9UWSJAwODo64DTkUw6DT6fzG42i1Wqxdu5ZFhWzbti3k7cihSJjJQnR09LBsfJ1Oh2XLlrHf582bx0RhOfK/8YMcDoeDDSK7XC6/9xN+XSPVnSDI1TwaQVoJclKTk5kGrnU6HbRaLRv08WcE4K9zdB8NhFzUHknc5gtX8q5sXqznRezGxkbcunULqampeOeddyatgE2mAqPRONFNEQgEgnFhcl6NBQKBQCCYQEKZLkrCo8vlYp3OySpY8x07cjjzhZfk0PRaXlilTh4vLlNHUD4dGABzngPwyb+W51DKjxkfY3LmzBmUlpbC4/HAZDJhw4YNuHLlCux2O/R6/YiOw7GGn5o9EtTBdzqdQXXUiUAu9FDweDx4+vQpvF4v5s6dG1KeZ35+Pp49e8Y6zadPn8aOHTtG3SaeX3/9FY2NjZAkCc3Nzfj73/8e1DFqa2vzmaJvtVoRFxcHAHj48CFu3boFl8uFqqoqHD58WLHg4IkTJ9DV1QUAuHDhAvLz80d0s/GDKG63G/39/X4L4/E8fPgQd+7cgSRJSExMxKFDh1i2fF1dHXO2A0Nu8qdPn4YUcUICbFdXF9RqNWpqavDuu+8G/f5goOn8hM1mQ1ZWFrKysgK+LzMzEzt27MDZs2chSRLi4uKwcOFCH/GPZ//+/aisrERTUxOeP3/u4xylAThenFapVJg+fXrY+0SfJ51H7733XtgFJ4GhHPRPP/0UnZ2dSE5OHpb1nJKSgn379gW9vtbWVtZGl8uFrq6ugML1ypUr0dDQAK/Xi5iYGOTk5ITU/qamJvz666/wer2YNWsWPvjgA9y6dUsxHqewsBCFhYUhrd8fXq8Xvb29iI6OnnQzDQIRKFM5KSkJCxcuRFlZGUwmEzZu3MgGfsntSzMMAl3zJ8JlS0Iwfw+TFw3l26xSqdigj9PpZAWRAbCseIr6cLlcbHAo0PU+mLxqJVHb4/Ewh7L8mNLzjcViwc8//8xijjweT0QGX8YCMkhM1mdNgUAgiDRCuBYIBAKBQAa5gwJ1kHjBmpyAEzllk89ulruP+AJKfKY07SMvXNN+UMeSXI0kYFPnldbDL0sdUcqS5Is1krBPGdgkOrlcLjgcDiZSy4+5Wq1GR0eHj2MwISEBhw8fxvPnzzFlypSIZhaHg3yKt9LrdrsdLS0tOHXqFLxeL955552gHL38OiLB8ePHUV9fDwB49uwZDh48GPR7t2zZghcvXsDpdEKSJLaeSNLT0+OT1UoZniNRVFSEO3fuwOv1IjY2ljlagaFoAxL6PB4Purq6FIVr3uEoSRJOnz6NxsZGxMfH4/3331ecgTFjxgyUlJSwARp+u0R3dzeuXr0Kg8GA9evXw2QyoaSkhLkRe3t7MTAwgNjYWJjNZixfvhznz5/3mdUQahE9l8sFi8XC8nLH4rOKjY3FtGnT8PLly2GRHCMxffp0/Pu//zubfRDoWqvVapGQkIArV66w65EkSZg2bRoMBgOWL1/OzpG2tjacO3cOALBt2za/rm9/6PV6JCUlob29HSqVCrNmzUJGRgYyMjJCWo8ck8mE7OzsUa2DWLhwIV68eMFmsuTl5QVcPjk5GZ9//jkGBwdhsVhw7NgxREdHY+PGjUE5Ni9evMiiTCorK7F8+XKsX78+7PY/efIEjx8/RmZmJtatW6covrlcLnzzzTcYHByEWq3Gvn37xi3+Z6xZs2YNy0AnAZhnJNEaCC9nOlRIpKY20f9ut5vd82ighxeU+Tgx3vVss9lY/A5972nwlupbUFHK0czk8Sdu8+3i49Bo4J1mEQFDg5Ctra1ht2Esoc9AuK0FAsFfCSFcCwQCgUAgg3IRA71OhYX0ev2oijgGSzBTZAH4CMv0M+9oJpe1w+FgU3t54Z3P6KYoC+ro6XQ6JmbzmZVqtRoGgwF2u12xIx5IlDYYDOx4kkgpP55vvfUWfv31V0iShKioKKSmpkKv16O4uNjnOPACvRzaNyD8Al/y4lChigenTp1CX18fgCFH7/Tp08c9/7ytrY21u7u7O6S4D7VaDb1ezzr/wTiLQ6WwsJBlF9PnHAxLlixBVlYWrFYrcnJyfPZp/vz5aG1tZeetP3fqO++8wwTjnJwcluVrt9tx9+5drF27dth71qxZg9TUVPT392Pu3LnDppZLkoQffvgBFosFKpUKfX19OHjwIMvFJscw78KNiYmBTqdjx7mgoEAxU1lOaWkpSkpKkJaWhg0bNsBkMrFYntEKr0pIkoSkpCTYbDYsWrQoZCcvXXeU6OjowPHjx+F0OrFs2TI8ePCAxVOoVCpERUVh06ZNw6I5jh8/joGBAfZzOIUIP/zwQ9TU1ECv1yuKzV6vFydPnkRjYyOio6Oxb9++YS5qoqGhAVarFdOmTYtY7EBqaioOHz7MnNbBCFh0nL/99lvYbDZ2nabCisBQpIjNZsOZM2dgtVqRm5uL7du3D/uMRrMfra2tuHr1Kux2Ozo7OxEVFYXly5cPW66mpgZ9fX1sMOmrr75CRkYGdu7c6fdYTwbq6+vx4MEDpKSkYNWqVSMOZvu7X0VqoDIUNBoNu69TQWZ+hpUSHo8HDoeDPWPwxZiV7st8IUaKFaF7Ki1nt9t9YsOAyBSPpecNt9vNBtnp+UGtViMzMxMxMTHs93CL7Y41VFBTuK0FAsFfCSFcCwQCgUDAQU5qpQgFcuxIkuRXjB3NdkfKbQTgI0rzzqFgptDSdmgfvF4vE4qpAypJErRaLYs8ISHbbrfDYDDAYDAwdzU5UMlZDYAVNuIzn5Wc2jw05dXj8fhk2VLHbOrUqfj444/R39+PjIwMaLVan8xV+TrpM6QYE2qDP3gXuhJqtRoOhwMdHR1ISEgIWzhRygkfb+F6ypQpLIojPj4+pO13dHT4uJLT09Mj3r633noL06dPh9PpHDFyQk5aWprioFNBQQHi4uLQ1dWFvLw8v0Lf9OnT8Y9//AMejwd1dXWoqakB8KcAowS5cv1Bg0C0Hhq42LZtG27cuAGLxYK33nrL53qTm5uL5cuX49mzZ8jOzg7Kydze3o7r16/Dbrejp6cHZrMZhw4dwuPHj2EwGJCTk4P6+npkZmZGbGbI3bt3ce/ePbhcLjQ0NODAgQMhO5z9cfbsWXas7t6963OemkwmHDlyRPFz5M/PkTKC/aHRaAJGjdTU1KCuro4Naty+fVvxM7p58yZKSkrYNS07Oxu7d++GXq+H1+tFY2NjwIEUJSwWCy5cuACn04l33nknJNclX2RSkiSfOJpr166hrKwMTqeTnes1NTVoaGjAu+++i+PHj8Nms2HVqlUhZYbL6evrY98Ht9vNonnkREdH+3yP3W43GhoacPHixYjHE0WK/v5+nDx5EjabDfX19fB4PFi3bt1EN8svfEY2ZUDzeeVqtZoVOOTvxzyU0U3PAzqdjs0+4Zfn6yPQMwbv5pbPDJMPflMb+eccpcKM/N95SEDnY89oWwaDgbXlyy+/RENDA+Li4sZkYHa0kDt8Mg/eCAQCwVgghGuBQCAQCDj4wj4ETW31er0skzlUwTGQIC0vKET/SBgPRZj2B+0Dici0H7z7iDqT/Hb4gmiUKU2uW+qM0pRi6sCSI8/tdjNHNXVE/Qn+1CaNRuPTJoociY+PR0pKCsvVpOmyfKeaOqe8y4s6z3LhkdZLGZt89rcci8WCr7/+mm37wIEDYXVqN2zYwBy9q1atmhDH1N69e1FaWgqv14sFCxaE9N6BgQGfKeO9vb1j0MIhR2k4XL16FU+ePIFarcaePXt8XMbp6elBCe2UNTtt2jRkZWWhtbUV0dHRWLFiRVht0uv1yMzMRFNTEwCwY67X6wMK0itWrPC7TUmS0NraCpVKhdTUVKhUKhYLAgwN0vT19cFoNGLFihV4/vw5vvvuO5Yn/dFHH0VEvG5ubvYpkvr999/j008/HVa8Lhz476tKpUJmZiaam5shSRKKi4sVBdubN28yUVSr1So6eUeCBrsCOf2Vrl1KPH36lDlMKVrnzp07WLt2LX7++We0tLRApVKhqKgIq1evDqp9v/zyC9ra2gAAP/30E/7xj38EfV+IiYlBSkoKe//KlStZ28rKynyEbX7fYmNjcfjw4aC2MRJ5eXmIiYlhs3OWLl2quFxGRgbeeustPHz4kJ3bkiSxyJLJSF9fHztv3W43O84TCd0X9Xo9uy/T4DV/r+Pvlfx7yaFM934ltz1/76cBb774M8WA0PooEgSAz8CzVquFzWbzKcDKfw/lz0v0N/msM38D0Eoz0Kgt5DbXarUjRu9MJMFEKwkEAsGbiBCuBQKBQCDgIMcmTV0lsVen0/nEY/AEypfm3Zq8AE2CaaSEaSX4/EbaB4r7IEcy764OtB7q8PFOKBJ8+Y6gRqNhDkN6nd5L7m0SgHkHtryzSQ5svnNN25Y7l/npx3L8OWV5h7iSWM1njFZXV/uIto8fPw4r43X69On4t3/7N0WRYLzQarVYvHhxWO/Nzs5GTEwMrFYrVCpV2GLuWGCxWPDkyRMmvl24cAFHjx4Ne31qtRrvv/9+RFzxe/bsQXNzM3Q6XUQcyefPn8fLly8BALNnz8aGDRuQk5ODuLg4FknCfzYPHjxgx2VgYABdXV0RaUdRURHq6urY98fhcOD27dvYtGnTqNe9bds2/PLLL/B4PFiyZAmWL1+O7u5u6PV6lk9ut9tRWVmJ6OhoTJ06FY8ePfIRvHhRtKmpCRUVFcjNzfXrpn758iUbWFqwYAGKi4sVl8vLy0N+fj7q6uoQGxvrN1IgPT3dZ0CBYhCcTidaWlrYdevJkydBC9eDg4PsZ7qGB1tgVaVS4YMPPkB7ezuMRiMrXkozd+gcIYGRBm8iiV6vx5EjR9DZ2Ym4uLiAztHFixdj0aJF+OWXX5jIP5kdzGlpaTCbzez6vmTJkoisV5IktLe3Q6PRIDk5OeT38/dkGjSmmhU89DwgH7imwWZ6blB6DiLhVx7B4Xa7mdhKsWQq1VDRRn7mFj+DjCLDnE6nTyxZoOswP/BMGdz8c5bScrzYTUUxAd9ZbXQMgnF1jzU0IP86FSoVCASCSCGEa4FAIBAIMNRpO378OBobG7FgwQKsXr3aR9jlMxgD5UvzkRj8//S6HF6wDeQYkv8t0O9y9zB13qgTybeV4k+CaYMcEmTo/bzYS7/z26O28J1auZjPv5e2ESjCQ6VSsf3kO9kkklNHm3d58x1qYKjTza+DLy7pdDqRlJTEOuU6nS4s8YDfr/Hu8La1taGyshI5OTkhF/nj0el0OHz4MDo7OxEbGzuppivLBwKCFfNGIhKfFTmGI8XLly+ZyFhRUYENGzZAq9Xik08+QU9PD6Kjo30KSU6ZMgWdnZ3sHA/VEe1wOPD06VOYTCYUFBSwY5Kfn48VK1bg1q1bbNnS0lKkp6cHlckdCK1Wi/nz5yMtLY0JzXxxPo/Hg6+//hp9fX3Q6XQoKiryOQf4/e/o6MAvv/wCu92Op0+fYuvWrYqFUS9dusTEq9LSUqxYsUJRJFKpVEHFVWzbtg137txBWVkZE5hXrlzp48QGgPj4+JEPyP/P0qVLcefOHQBDxz/U85xc+nK2bt2Kn376CZI0VLdh//79o7rOBUKr1QYdj6JSqbB3715W2G8iCyCPBF0fm5qaEBcXh4SEhIis9+zZs3j16hUABHTn0ywqchDT7AH6vtI5x9+n6We+gCJfNJFQq9UwGo0sNkypGDW5sel5gLZHz080a43u2waDwSeGjAa4qd3k4pbX1CDoGYf+kTAfTowbrYueCXhHtr/YNjp+wQjc/O/h4nQ6w5rtJxAIBG8CQrgWCAQCgQDAjRs3UFlZCY/Hg/v37yMrKwtZWVlwu93MxUfIOw5y57DcEcwTjCCs1DEZaXo6dUD57cs7XxS9wbv0+PXI3UjUEeQjSwgShfmpv9Thtdvt8Hq9Iwqb8ixqah/fIQ10jCgugLZPU6CpE67VamEymRSPFXVu7XY72w5fYIoXljIyMrBmzRo8e/YMeXl5WLJkiU9+9mSmq6sLx44dg81mw+PHj/Huu+9i2rRpYa9Po9GEHeUxlpjNZhQXF+PWrVswGo149913J7pJYwYVXQTgkzesVqt9xF1i48aN0Ov16O7uxqpVq1BWVoY//vgDBoMB7733XkCBTZIkfPPNN+jp6YFWq0V9fT02b97MXl+6dCnu3bvnc428evUqCgoKwh48GBgYwPfffw+r1QqDwYB169ahsLDQZ5n+/n6f73xVVRV27dqFCxcuQKPRYOPGjWzZ1tZWdrwcDgdqa2sVhWtepHY6nejp6RnVua7VarFmzRq4XC6Ul5fD7Xbj+vXraG1tZctoNJqQZm8sWbIE06dPh9vtVvysw6W3t5dd/+12O8rKysKaVTIWqFSqYUU4Jys6nW5Ug4NyvF4vXr16xc7fsrIyv8I1OY0BsPgsclrTvdzlcvkI1/Q/Cdz8ADcJ4fzAO8V4UCSYPLaChGePx+NT7BHwjefi18eL1/QeKgzJi9c6nc7n2UCSJFYfg4o5hgs/YM0XivYnFPPHTx5TIs/rlpsb6P9AIrdc6Kb9jVSBV4FAIHjdEFc/gUAgEAgwJJaQgOn1egNmaY4kRgcSmZU6JfLXA71X6Wc+75k6ftS5o04dic9utxsajYZ1gPiCRbx47K8YEyHPvaYOJn88+E6qP8hlRW4nEsRv3ryJ1tZWrFq1CtnZ2T4FHKlTSPtCHWC+6CR11Pn2yP8nsY067CSiK7W5qKgIRUVFAJQLR01WmpubfUS76urqUQnXk5kFCxaEnNsdDvfu3cOzZ8+Qk5ODt99+e9xjXz788ENcuXIFarUab7/99ojLa7Valqfd39/PokOsVivOnz+PAwcO+H2v1WqF3W5nMxioYCWh0+mwa9cuHD9+POCAXSi0t7ez76bD4cDLly+HCdcxMTHsGqbVapGbm4usrCxs2rQJJ06cwPHjx5Gbm4vt27ejp6eHvU+j0WDWrFksvoBn165dLMve6/Xi559/xpdffjlqsej58+fs2lhTU4OpU6eyPGSDwRCyMzcUh3aw8LNKQi0YKRg75DEuI82W4GN76D5PM8f4/4E/ndA2m80n6ouPGOPvkXQPpkFjp9PJzhe+7gQfjcNDM5vk3ycSnWldfHFnEs7p+YbaQduMtPuYniUoFs3tdis+C4XjoFYSuPm/+XN189vkByL8RZcIR7ZAIHgTEcK1QCAQCAQA1qxZg5cvX8Lj8SAmJgb5+flM0OQL/dE/EkyVoj6Ufg/2tWDd2v6EIblTmTqT1AElUddmsw2LOOHdRZSnSK/z8LEfBoOBuaPIPUXOIJfL5TNlnzrEJJbzLi8SsFUqFX7//XeUlJTA7Xajvb0dH330EZKTk32iT/iIE/nnQNuSZ1/LxX7+b9QhlrulCJ1Ox9rNQ/tN4p4cEs8DucfHkqysLBiNRthsNhiNRsyaNWtC2jEW9PT0oKmpCenp6RF1nwairq4Od+/ehdPpRG9vLxISErBo0SL2eiQysUciNjYWu3btCuu98nN0pFkDJpMJBoMBNpsNGo0GOTk57HvLR4bs27cPv/76K7xer9+IjWBJTU1lwpHBYEBBQcGwZbRaLQ4dOoRHjx4hNjYWc+bMwaNHj3Dv3j0W91FTU4POzk6Ulpay96nVapw5cwYejwcZGRnYs2cP2w+qY8Bn6dvt9rCKTbrdbty4cQO9vb0wGo1sINRoNGLLli2IiopCf38/3nrrrbCOlfz6NVqysrLwzjvvsFkls2fPHrdtC/yjUqmwb98+XLp0CTqdDhs2bAjqfX19fSzmDAATffmZEXw9Dxp4pgxl3ulLER/0LAHA59nAbrcz4RqAz3eIz7CmrG2la6RGo2G51+Qcp+cWiv/gfx7rc09emFIpPiVUQo0J4wfY+fxxf1F1o3V1CwQCwWRGJY3GEiEQjCMDAwM4efIknE4ntm3bNimnKgsEgtcbj8cDq9WK6OhonwxkPjfZn+iqFKcxlu3kHdbAnx1Jcijx0SV8BAgfIxKoOKI/kTyc6BM5/pxCxPfff8+cnXq9Hrt27Qpq+jV9DgDYlGjq6FEmJ8WAqNVq6PV6JnBTrAlFD/BCM3XsSTAn95vSsaNllMT0iaK7uxs1NTXIyMhAenr6RDcnInR3d+O7775jwsgHH3wwLs8F5eXluHDhAvseLV68mEUqXLt2DWVlZdBqtdizZw9aW1vh9Xoxf/78iGVuy+nv78ft27dhMBiwevXqoLZD7dTpdHj//fdHzDK22WwoLS2F2WxGR0cHnj17Bo1Gg/fee48d84aGBpw4cQKSJKGwsBBr165l76+rq8PZs2eh1Wqxc+fOoD6nvr4+vHjxAikpKcjJyRlx+e+//x7Nzc3DBoiioqJgtVoVv4sGgwF79+5FVlYWLl++jKdPnzJhTqPRICkpCQcPHgzrmn7u3Dk8f/4cHo8HJpOJ7cO6desQGxsb8vp4ampqcPbsWUiShDVr1gybZfDq1Ss8f/4ceXl5mDNnTsB19fX1obOzE+np6UHFcTQ1NbEBiqVLl06qAq1vKv4GP8lRTfcaGqg9d+4cK966efNmzJw5c8Rt8LUneHc18OfAMAnK5JBWqVTseUgep0bvI/hoLj4fW2kwm95L/2jwm2Jsxku8JmiQnH+OGC9on4Pdrr/oEn9/I0IRuYXQLRAIJgLhuBa8Nnz33XcsF/Cbb77Bf//v/13cPAUCQUTRaDSIiYkB8GdHy+FwwOVysSmjOp2OZS3yQjZ16nghO5JTWfk8aH47NPWWhFX58nxkCImqRqMxovEGdByocyeHOte8kCx/P+HxeLBs2TIm+pnN5qAL2/EucVovrVvuvvZ4PEyAps4hrYMgoRsA7Ha7X4c9/3d/06QnksTERCQmJk50MyLKq1evmLPWZrOhqqpqXITr6dOn486dO2wqPrmt+/v7UVZWxs6jH374geWSPn/+HIcOHYp4W7xeL77++mvm5n3+/Dn+8Y9/jHjNWbt2LYqLi4O+NplMJqxYsQJ9fX24du0a28fffvsNH3/8MfuZPo+ysjIsXboUZrMZLpcLx44dY9+Hn3/+Gf/85z9H3GZcXByWLFkSVPsA+BSf5BkcHPQpvioX6HQ6HV69eoXHjx+zZUwmE7Zv347s7GyfYySvHeAPilTh27Nq1aqAAwRWqxX19fVITExESkpKwPVfuHCBfebXr1/H/PnzWZtaWlpw5swZ2O12vHz5Elqt1q9w2dbWhmPHjsHtdsNgMODjjz/2cZc7nU6cO3cO3d3dWLFiBeLj43HixAm27QcPHqCoqMhnVk0gvF4vSktL4XA4sGDBgmE1ELq6utDZ2YmsrCyf7Pa/Ov5m6yjVgbBaraiurmbf0atXr44oXNMAPOD73ODvXqoUlcUP4tJ9k+73Ho/H5z00cMyvk8RoagfF9dA/PqKE9m00szpCgdzXHo/Hb7b3WEEFrIMVy8N1dfsTuAO5uoN1dtPvAoFAMBqEcC14bbBYLOxnt9uNwcFBJtSMRc6ZQCAQqNVqluVInRa+g0UdPsps5F3NNL2Wdy/Re0LtWMir3VNnjs+uBobnVVNhRZr6S6+PVrTmXVJ8fAY/XVin0/nkZgeTE0s5ujNnzsTf/vY3dHd3IzEx0W+GNhGuu9lfRAshFwX8bWMyidR/FTIyMpiIYTAYkJ2dPS7bNRqNOHr0KHp7exEbG8vEE/l3is967enpGZMIEYfDwUQcYEikbW9vD0rAl7dlcHAQDocDCQkJftspF0/477Tc6U3L1tfX+3w/+PZGkuTkZDQ3NwMYEr0tFgsr6BYfH4/+/n6oVCrMmzcPLS0t6OvrQ2FhIdrb23HlyhWf77rZbB42w6O8vBxXrlwBMCT8yzO3eX744Qcm7qpUKkRFRQUcOLLb7fjqq69gs9mg1WqxZcsWxeKRRKDzqL29nR1jp9OJxsZGv8JlaWkpG2zweDyora3FvHnz2Ovnzp1DVVUVADDHvFy0DOWcPnPmDIvjKi8vx2effcbeX19fjxMnTsDtdsNoNOKTTz4R4nUYyL+HUVFRPrnWSvARIPKZWjyB7rP89Y2+S4Hui/L7LT/ATs9INDDvcDhYHjeJ15TPX1NTg1mzZmHz5s1j2g+kKDWKOwnFBR0u9LmMpUAfqrAsF7r5n+Uxa+G4uoXQLRAI/CGEa8Frw8qVK3Hjxg2oVCrMmjULRqMxoDg03sWSBALBmwlNVaUOFEVFKGUeUueGkE+Dpfxn+bVK6SGdOi0ul8tnWi4wNMVdHl1C7k65sM4TTLFEpXbII1LkznJyH5FQpFar4XQ62TL8z4FwOp0s6iQuLg5xcXFsmj85zXn3kbyjxOeO+3OpTaYIj0hisVjw+PFjREdHo7Cw8I24B0qShLNnz+LVq1cwmUzYt28fmxGRkZGB7du3o6qqChkZGaiurkZrayuWLl065lO5tVrtMPdsdHQ0li1bhocPH8JgMMBkMqGtrQ2SJAUUg0eD0WiETqdjAzo0SBUqFRUV+P3336FSqZCVlYVdu3Yptjc6OhqrVq3CvXv3YDQasXXrVgBDxSqtViubkVJcXMxcuHFxcT7CWW5ubri7q4jb7cYvv/yCrq4uJCQkYN68eVi4cCHu3buHqqoqZGVloaamBpIkITU1FevWrfPZt2PHjvnMxkhKSsLevXuHbYd3ml++fBn3799HYmIi3n33XR/HscfjQW9vr49443A4MDAwgLi4OJ919vf3Q61Wo6Ojg2X7ut1ulJWVYcaMGWhsbERJSQnS09OxZMkS1u7t27fj1KlT8Hq9WL9+Pfuue71etLS0sAFEo9GIuXPn+j126enpeP78Obvu2u12OJ1Odg7V1dWxZfmaAsDQubd27dqQzrfGxkafopskSALwma1gt9vR2Nj4RuXxjwX8507o9Xps374dly5dgtlsxo4dO3zud3z+tD+oGCFf4JG/b1KcFrWBfyag55SRsvP9ofQ+SZLYAAvx5MkTPHnyBG63G48ePUJOTs6IsTiRgH8epOcaPhM8klCh6PGMJhmJcITlQNElcle3P6Fb/rtSdIm/Ng0ODuLkyZOwWCzYvHlzUNFTAoFg8iGEa8Frw7Jly5Cfnw+NRoPk5GSfG5RcHKKqy7wwJFzZAoFgNGg0GphMJjaFlWI7ArluSGTlX+edyjTwJr9O0bp59xPFgQBgIjoVXCLBaqTrXDDCNd8++sdfT0mklm+HxGLqxFGhJYKcsf6OFYniJGTIoU4cFUySJIm5sPl7ALVFngtKHe+RROtICtvBRguMFo/Hg2+//Rb9/f3QarVoa2vD5s2bx3Sb40FzczOqq6uZs/jq1avYsWMHez0vLw85OTn4j//4DwwMDECj0aCjo8NnmXCor69Hd3c3pk+fHlJhvuXLl2P58uUAhs7XJ0+ewOv1BnTnjgaVSoWjR4/ihx9+gN1ux4oVK5CQkBDyem7cuMFEw8bGRlgsFjZAIGfx4sVYvHgx+725uRn37t3zmY1y9epVVFZWwmq1YnBwEHPnzkVbWxvS0tJYHni4uN1uXLx4EW1tbVi6dCksFgsaGxvZs19UVBR0Oh1Wr16N1atX4+TJk+jv7wcwFI3R1NSErKws2Gw2nD17Fu3t7UxYN5vN2Ldvn6LTl7/euX7WDD4AAQAASURBVFwu9PT0oLe3FxcvXsS7777LXtNoNIiOjvYp1jowMICbN2/6LHflyhWUl5cDABYuXMiuVzqdDtnZ2ejt7cWvv/4Km82GV69ewev1suUyMzPx97//fVgb7927h+fPn7PZOFu2bAnovp83bx5cLheePn2Krq4u3Lp1C48ePcLhw4eh1+sRFxeH9vZ2n33zeDwwm804fPhwyEUrp06dioqKChYBxQv+WVlZqK6uZiL6lClTQlo3j9vtRnd3N+Li4oKOMXE4HOjs7ERSUpLfe9B48uzZM9y9exdJSUnYunWr4gCBP5F36tSp+Oyzz9jf+EHckURrXpQG/iwM6A9+3eNZgHhwcJC1y+Vyoa+vjz0jjEcOMxWTdLlcsNls7DkwktFwLpdrUpyLoyUS8SX87/5c3f7E7B9//BH19fUAhmbD/Lf/9t/GrOaEQCAYO4RwLXhtcLvdSE5OVpxuLheH+Jsbn7s6VtmzAoHgr4FKpYJer2dOaJo6TYJuMAKl3HnMu5mVOpW0XnLukfgsz4QMBhI05Nvm/9G1MpBzWwm32+3TcSNnEj8rhgrpycVr6qTxuZF8B5rEZLnDnY4PieJer5d1ZoON+ZAjz3AM1zlWWlqK69evAwA2btyIgoKCsNYTDHwn3u12+zglX2fkznmlc91ms7FlPB4PmpqaRrXN0tJSXLt2DQ6HA3fu3MHRo0fDEg+0Wi2Kiop8/iZJEioqKtDS0oL58+ePSpwjYmJi8Pnnn/t9XZIknD59GnV1dcy1LhccY2Nj0dvbCwDsGhMsg4ODbHmPx4PBwUEAYC5nAKisrMSnn34akeiHGzdu4NmzZ/B4PLh06RLmzp3rI2LIv/f8MyM/W+PChQusjVqtFosXL0ZRUZHfNqanp7OCd4QkSRgYGMDVq1fx9OlT6HQ6zJ8/H1u3bsXjx4/x9OlTNrjIC6herxfl5eVssKCsrAzvvfceHj16hLS0NBQVFaG2tpbti8vlwq1bt3D37l1oNBps27YN+fn5w9rY2dnpIzIGM0i3aNEivHjxgkVRqVQqtLW1ITs7G9u3b8exY8fgdDoxe/ZsTJkyBW1tbSgqKmLnUF9fHywWC9LS0kZ0hm7ZsgVTp06F3W7H3Llzfa7lCxYsgEqlQmNjIwoLC8PO5O/t7cXXX3/NBpUPHDgw4rosFgt7j0ajwcGDBxEfHx/W9iNBX18fLl26BLvdjp6eHly6dInNbpBDjmeeUAdf+XvuWCwf7DrpH82sovUrXY8KCwvx5MkTuFwuGAwGzJ4922dWGx83wse68e2PRJv1ej20Wi2bMUEGgtFCz5dvwsypUOGfIeXZ2iO5t5XMCX19fT6/OxwOIVwLBK8hQrgWvBaQoBJqcQp/4hAvpMiFbCFmCwSCQKhUKp/CjXTdsNvtIRftoesSXZMIElvoNYKmpYbj7JFnUlO0iFLkR6jr9pfFSB07lUrFIk8cDgfr7BEktvAuab7Qo06ng9PpZMeJ2s47b+izkDOSAK3U8ad9CrdjLkmSj4v18uXLYypcR0dHw2AwwG63Q6PRBMzHfZ0oKSlh4p1Wq8W6deuGLRMVFYWoqCjm+J09e3bI25EkCTdv3kR9fT2sViubKeB2u1mxuEhAorjT6cSzZ89w+PBhv87mSNHQ0ICamho4HA7YbDZcv34d27Zt81lm8+bN+M///E92fbhw4QI+/PDDgOsdHBzEgwcPoNfrER8fD4vFwgb05ND3PxJ0d3f7ZOhmZ2ejoaEBAwMDSExMHPb5r1u3Dl1dXejv78fs2bORnp4OYMgFzV9fCgsLkZCQgI6ODvzyyy9wuVxYtGgRVq1aBWAo8kRJEJw1axZu3rzJvus3b97EH3/8gY8++ghGoxHPnj1DQkIC1qxZ43M8+OdZl8uFKVOmYO7cuXj48CGsVisWL17M6isAvoX4Ll68iC+//HLYsVm4cCGqqqrYAF6w51Z6ejqam5uZY5VE26SkJPz973/3m8/+4sULnD9/nh2fQ4cOBXxOV6lUfr+fKpUKCxYswIIFC4JqsxKSJOG7775jn4Xb7caDBw9GnH1SWVnpU0envLwcq1evBgCf3GWl7V2+fBkvXrxATk4OtmzZEhGhkfLRgaH7tlx4I+TnIx+VRe8N5h4W6n0u0PLy2bCAb6QJCYY0UE2FruWD59Tno/u3fEAqLi4O//Zv/4auri4kJyfD5XJBo9HAYDAMc+byzwvUHur/8f+H2/+jWihut9tvjFwo0PdXXrz0dWYk4dnfa4RSHIhc1FZCrVZj9erVuHTpElQqFXJyckR2vkDwmiKEa8FrgcfjGdVDAODflU2dgVCyZwUCgUBeuJEiLKjjEkhcJqGXIi9ofRqNxqfYIS8mU8fL7XYPi0PiO3j8Nvhcauq0kWM7mGiRYJF3UOVQ55SEETpmfB61Wq32mV7PQ+IN3/mUO7T4mBB52wJ1bJREayWxm1zvwXTa5ULPWLum1Go1PvroI1RUVCAqKgrTp08f0+2NF42NjT7iotK0f5VKhUOHDuHly5cwmUwhZyhLkoRjx475damH6/xU4tWrVz5CZEdHx5gL1/JzT+n7ToIP5cj6E8oISZLw7bffoq+vDxqNBnl5edizZw/UajV++eUXJiJ3d3dDkiRMmzYtYg7WVatWobW1FZIkITo6Gnl5eZgxY4ZfcdVsNuPjjz8e9ve1a9fi5MmTAIC0tDQkJSUBAM6fP8+iRf744w8UFhYiOjoab731FlpaWtDW1uZzfVaKUXA4HGhsbMTatWuxdu3aYa+T0/nGjRsAhs6FGzdu4PHjx3C73Wxa++HDh/F//s//GZbva7fbcfPmTaxcuZI90z5//hznz5/3uQ7+8ssv+Oc//zniMV29ejV0Oh2LX5Gfk/7uEXfv3mUisUqlQmdnZ1CFQccKu90+7PMI5vtLBYAp3zspKQmSJOHUqVOoq6uDXq/Hhx9+OCyG58WLF8z1W1lZifT09GGzLMIhNTUVSUlJ6O7uBgAmosuR34v4WCz+dfngLD9AHIloLL5/Rc8UkjSUS63T6VjsGf1M1ySXyzWsdgVlavMD7Fqtlj1r0fOLx+OBTqdjGfo0KA6A9Rfl1z65oM8PglMb/InawRwDeu5zOp0jxsgFgtzWk63/Gaz7Wek1Qh7jwf/MnzsE/9xKnxn/7Evr56/JfF/fbrejsLAQM2fOhMPhGBY1KhAIXh+EcC2Y9JDYEWxOXbAoubJHyp6NZH6ZQCB4/aEp4G63m00/1Gg0rEMmnzZKkRh851peYCmQ85le4x1FlIfNCzd8h5ViTOjaFqlrKd8pobgUakegaZt8rIDS3wNBYrK848O7q/gONC3jzwkaaN+o3XJhfKT30XveffddnD9/HiqVCtu3bw962+FiNBqxcOHCMd/OeJKWloba2lp4vV5ERUUpRoUBQ6J2OE5rYKgwYUNDg+Jr6enpMJvNYa1XiTlz5qCxsZFdK8ZD5MvMzMTMmTNRXV2N6OhoRSE1OjoaqampaG1tBeBfKCMcDoePAN/a2soKDx4+fJgtR9emSD6/paen49NPP8XAwACSkpKYQBHKs5nH44HNZsP69euZA/vKlStISEjwK+IZDAYcOnQIJSUluHHjBhM5p02bhq6uLjx//pxd1w0GA1svUV5ejps3byI6Ohq7d++G2WxmmdGSJKGsrMwn7qelpQVGoxGrVq3CrVu3fAYhHQ4H7t+/D6vVik2bNrH2y0Vbf9e8u3fv4uHDh9BqtdizZw9SU1OxcuXKoI8f8GfRSf73UDOvI43RaERMTAybrZOUlOSTx+6PvLw8rF69GhUVFZg2bRoKCgrQ0tKCuro62O122O12XLlyZVjRTqvVyu5jbrebxeSMFrVajYMHD6KnpwcmkwlGozGkeA5/91yCF7i1Wi07B+k5IVCmNcEP7spFYLoHUx+LBGs6H+V1Jyg+jLZN4rZWq2Xfb7fbzfZDr9cPKxZK9S9oIMVfrCQARTE5GJe2kkNbft2hdlAdklBn4dFxHEu39UgO50AiNOA/S1rpn3x5eTv484d33PN9dBoUoPOFPh86T+iY84MMkiSxGWg6nS6sosUCgWByIYRrwaSHd9eNNf6yZ0NxOQoEgr8e5PihjhR1XCg+hJx5vFjLO0vo/cE4c/kOFl+NndYpX45+HqkwI+/UUyp+E8y0TLkYrdS5CxTZwQv21PHQ6/U+RSjpOkzXYrmoTJ1pEnmCdZNJkoSrV6+ioqICKSkp2LlzJxskCIepU6cqFlATDCFJEurr6yFJEnJzcxXvo7t27cLjx4/hcrnCdjL29vbi3r17iImJwfLly4eJFv39/YrnpEajQUpKSljb9EdBQQFiYmLQ2dmJ/Pz8YVOWnU4nysvLodVqMXfu3LDcenJUKhW2bNkScJmXL18yF3N2dvaIgwAGgwGxsbFwOp3QaDR+Hf7ywrSRwmQyjUrY+emnn9Dc3Ay1Wo2pU6eiqakJg4OD0Ol0mDlzJux2O5xOJ5YsWTJMjC0qKoJarUZTUxPLYt6yZQs2b96Mmpoa1NfXo6CggDm4gaFYlStXrsBut2NgYAAnT57Ehx9+iLKyMvT29sJgMAwTPZcsWQJgaPAmNzcXiYmJmD59On766SeW697S0sKWVxLqFi1aNOxvVqsVDx48YALfuXPncOTIkZCPYUVFhU+8xvz58yd8Cj7Nvnj27BkMBgMKCgqCfj6XFx2VH08l4Wv27Nn4448/2CyrSLiteXiHd6D7ED9Qyz8XjAQNpBP0/BJodpHVamVCs5Izll8vP7hBQjTwZzSYJEnMKU33fHJX825aGogwGo0sRsxgMECn0zEjAD1DGY3GgOK1P5TMTLR9uahN+6bk0qaf6bnP6XSy55hgroXyWh/+CMb9LG8/vzy/z0o/8wP/SiJ0sMiPHf8/gGHHTm7a4AdF5AMjFEOntE1etBZ9dIHgzUAI14JJDz2QTMSNh5+6FsjlyOdki3gRgeCvCbk+XC4Xy3Gm6cdyBxM/nTGYDgqfTS2fKikv4EMdE3mmNblUQs2aVXLU0O/ksqbsSiVHjfx/EtDlYiF1UPnlAfi4qkgYl4vswJ/TofnrtBz+Gs0fVwCor6/HkydP4HA4YLVacefOHRQXF4d0rOi48I73UBzbkYbOlcl4Tzp79iyqq6sBDDked+zYMWwZlUrFhMJwcLvd+Ne//gWLxQKNRoOenh68++67PsvMnTuXieNqtRpFRUWoqKhAeno6yzeOJJmZmcjMzFR87fvvv0dHRwfUajVevXqF3bt3R3z7Sly9epWJPU1NTbBYLAHdsyqVCgcOHMCLFy9gMBgUCwVOViRJQnt7O7sm19fXs++Hy+VCe3u7Yn40oVKpsHDhwmGzG1QqFfLz8xWPRUlJiY87ubm5GRaLBR999BHu3buH+/fvs/ao1WpkZGRArVajp6cHv/zyC2w2G/R6PWw2G1uPwWDwEUp37dqFkydPwuv1YtmyZcjPz2cueHk7I4HVamVtVqlUYRUwDYampiZWtHLx4sUjtl+v10dk5klKSgoWLFiA8vJyxMTEYP369cOWMRgMOHr0KKxWK8xm84QV0uPzz5UI9T6ktIzX68WPP/7Irk/79u1DcnKy4r1c/jsJ4byTmn8+AcCEafmzDInaBoOB3cvomYP2i2bIUjFpEq+pDzca+PunUlFp+fOZv+KQDofDJ6KNXwf9T5+jWq1mz2mjcT/TsQ/G/Twa+GdOJZFafiwCOdZpPXQs6HgEG29HM1LI6S4QCN4chHAtmNTQjXyyTPHhb740kk9t5ONF6GGJv0kLBII3m5KSEly+fBk6nQ579uxBcnLysGVUqqFihQMDA6ivr0daWhqSk5P9PvjLHU/8A/tInVV/8MIq/zd/biP+/0Db4wXmQJ0jckTLoUFAeg/f6eE7P5IkYXBwEJLkOzXdXwQJD99RlreV8jNpORLylODbwk/jJmhaNDnCJkK0vnbtGsrKyqDRaLB3716kpaUNW0aSJDQ2NsLpdCIvL29c71VUMBCAYr50eXk5rly5AgBYv3495s6dG/I2BgcHfc6LpqamYctER0fj008/RX9/P8tLDTU2IRJ4PB7m/vZ6vWhubh63bUdHR6O3t5f9rtPp8PDhQ3R0dGDRokWKkSY6nQ5z5sxRXJ+/GSBut3vCxQSVSgWTyeTjyqRCu4H2KVyam5tRUlLic82VJAk1NTUoKipCSUkJa4ter0dGRgZaWlpw4sQJJCQkMHHY6XSirKzMR+ibP38+W2dqaipzTgc6xiaTCStWrMC9e/eg0+mGDeQECw34kJt0NEUV/dHX14fjx4/DZrPh5cuX8Hg8WL58ecS344/i4uIRBy/VavWER6SMRCTuP42NjWhqamLr+v3333HgwIGQhXClezAwdP376quv0NHRgbi4OJZLL3fN0jOU0+lkfzcYDCy+iMRN+hu5w8cCXnzlHejyAXT+74GeK2id8ji0SLmfR8to3dOB1huqq1oJIVoLBG82QrgWTGrcbvekz5WmKWGEfPRdHi8iXNkCwZuH0+nExYsXWRGtEydO4LPPPmOvk8hJbr9vvvmGCSXvv//+sDxUfwQT1xHsOuR/G60r2F9nSh4Twm+fru98niQ5yKktWq2W5YUDwO3bt3H79m0AwNKlS7Fy5cqAx4OfyqvU6aP3FhQU4P79++jp6YFOpwsoXvKDCvLCaTy8y3I8sVgsKCsrY53k8+fPK8YBXL16FU+ePIEkSUhNTcX+/fvHrY3R0dGsGKdSxADvAr569WpYwnVMTAzMZjOLtOCFPh6dTucT7TARaDQaxMTEMIdhsNeESLBjxw6cPn0ag4ODePvtt/HgwQM8fPgQLpcL1dXVOHLkSNDi3IsXL3DhwgVIkoQ1a9Zg4cKFaG9vx08//QSPx4O8vDy8++67EX8GcrlcuHLlCrq7u7Fq1Srk5OT4XTYqKgo9PT3sfbt370ZXVxdMJhM7L41GI+7fv4/Hjx8jJSUF77777jAxxGKx4Mcff4TVasWsWbOwYcOGYftFg2w8RqORDSTFxcWxZXQ6Hdrb29l1o62tDSaTiRWi468nLtf/x95/RUd1rN0C6OzcyjkhlAAJEUVGJBOMAROMCcZkb8ftvc8Z4zze1/twn+/Lvefcf4z9n7C3tyM2GBuDjbHJUWQhhCQkgSKtrO5W5+51H3S+onppdVK3AnbNMRhI6hVqrV6rqr5Z85ufGw0NDYiLi0NOTg4ePXqEq1evAhgmXJWIZEmSYLFYUFFRgaVLl4Z7axVhNBrxwQcfwGazIS4uLuJFr6GhIXi9XiQnJ/v93W63Y2hoiBX3pIVIt9uNtra2cSWuBV7C6XT6zQ+ocGSsUF9fj/b2dlbg+sqVK1i/fr2i3Qc/bwBe1hohWw4iqyMlr8O13eB/DqV+5uM9IqWpWCU/B1Gy8OCFT+MVMypZo/BEPD+f4n3MI20jHydHqqoOdDxBWgsI/LEhiGuBSQ2erHhVwNuLACNTycirjffJFkS2gMCrDTkxQWmr9DMRDxqNBrW1tbDb7Sxbo7a2NmKSiu8vAhHFcrUj36ZA+9K2vAKGtuOtSXiVMqDs/8kfjxTIpKBxuVwsm4ZIffKqpGJukiSxc1FfKUkSrl+/zgjN27dvo7KyMui9ovsc7Lrp94MHDzLVVjh9MgXVRLzT+WLRnyulYEeyLw9Kzbbb7YiPj2ftq62tZWRYT08Pu/bxwL59+3DlyhVGcMrBX8NoleBqtRqHDx9GU1MT4uPjUVBQMGIbCponwxh84MABPHz4EFqtNiDJPhZITEzErl27cOnSJVRXV2NwcJClqvt8PgwMDIRNXPMLeJcvX0ZFRQV+//135uHc3NyMnp4eZGVljdg3mnfn3LlzePz4MXw+H3744Qe8//77AT2X+eeJSK/S0lL861//YgsHGzduxM2bN5kvNRFpPM6fP4/e3l4Aw57Pc+fOHdGXFxQUMGJXkob93OfPn8+227VrF3777TfY7XasX78eZ86cgc1mY/dDq9UiMzMTpaWlqKmpYcp4tVqNM2fOMJsOp9PJ+sUrV66MIK4lScKJEyeYkv+tt94KSu6HA5VKNSpf6/v37+Py5cvw+YaLBefm5mLjxo0YGBjA999/DwBITU3Fnj17YDQa2YLmH6X4rFLW02jBL/SGKqpI/ZzcjzocZGVlsUVkYNhKhYok8h7Toey6AkH+3ut0uqAe1Xq9ntmB0P56vZ4R30SA0oIPzSVCEdJ0rEAWHHL1s/zncMAXq6R5obyNvDUc4K9mli/GjwZK5DQvLODPQ99ttOeLhapaCYK0FhD4c0AQ1wKTFvxg/SpDKQWfH8B5exE5kT0ZAmkBAYHQMBgMWL16Na5cuQK1Wo2tW7eyhTedTseyLyRJQl5eHoxGI+x2OwwGA6ZOnRrWOeSqYaXAKVCfQZP6SIoVEZQ8HOlcPp8Per0+IOHEZ52QfyWvsCHrAAo6VSoV8winayYvSyqQS16vQPCUeEKotFo+aCUSK1zwRMHAwAC++eYbOJ1OzJgxA1u2bIk6GBst4uPjsWrVKty4cQN6vR7r1q3DP/7xD7jdbiQmJuLQoUPQ6XTIzMyE3W5nixrhBn1WqxVDQ0PIysoKOUaT7YXRaPSzz4mPj8emTZsC7rdt2zZGzG3dujW8C1eATqfDzJkzFdt1/PhxdHZ2wmAw4MCBA0hKShr1eUYDSZLw888/o7m5GZmZmdi1axcryjfe+OGHH/D8+XNIkgSDwcAKzBoMhoiKVMpJYWDkwpb8OTOZTDh+/Dg8Hg8WL148Km/xnp4ePxsNq9UakFTdtGkTjh07BpfLhblz5yI9PR21tbWwWCxskau6utrPOogvREjgsy1cLheqqqoQFxeHlStXIiEhAZIk4bvvvmOE8qJFi0Ys0sTFxWH79u3s940bN+Lf//43+91sNsNsNmNwcBBvvPEGrl27xjyvBwcHWft4RamSurSvrw8dHR2szRcuXMDRo0cD3c4xBb/46HK5YLFYMDg4CIPBwNonSRL6+/vx3nvv4fnz58jIyFC033oVEchKZzQIRVbziGZMSUtLw6pVq3D79m3Ex8djy5YtkCSJFR0kZTORsny7NBoNI0VpAVrelpkzZ6K2thYdHR1IT0/HggULWKYMQU420/+UucP/nS80SfMHvoilXAk9nvYbKpWKEdZ8DZRA9ZzkBDMRv3IFtPz/SNXTPEEdC8RaVR3oHIK0FhD4c0AQ1wKTFhNZlHGsEUiVTYM7FfeQ+2T/Ee+FgMAfBStXrmS2FQ6HA1qtFi6Xi03UjUYjXC4X0tLSsHv3btTU1GDGjBmYM2eO3/vPq5z5YFbJm1muIOL/zv/jCyJGGqDx/RVfpJYKJLndbnadtPgGwK9oI6WUkrKaAhe6T9QWKq5ExLXcx1utVmP//v344YcfIEkSI3xIzUjHUVKUKREDdG0UzJICighyjUbDlFGh8PvvvzMi6enTpzCZTIq+0uOFRYsWYdGiRaxtZrMZwHBA39DQgNmzZ+Ptt9/G1atX4XA4sGrVKr9noq2tDXa7HSUlJX4LHk1NTTh9+jQkSUJaWhoOHjwYkLyWJAnffPMNurq6oFKpsGrVKtamUCgqKsKnn3462ssfgaamJlRVVSEnJwdr1qxBS0sL2tvbWXr5lStX8Oabb8bsfOGgsbER9fX1cLlcsNvtqKqqGpOCkOGgt7fXT223Y8cO2O12FBcXR6TC3759O06dOgWfz4c33ngDKpUKmzZtwokTJ2C1WrFkyRKkpqb67XPmzBlGDN+5cwcVFRURK3krKyvx888/Axi23whGcqalpY0owJicnAytVguv1wutVovCwkIMDQ2ht7cXKpVKUe3Lk9k+nw/19fWQJAmtra344IMPYLfb0d/fz0i06upqrFmzBpIk4csvv0RHRwf0ej0OHTrErGouXbqk2Gan04nBwUFmQXXjxg1cv36dEXKvv/46rl69CpVKpehbbTQa/fpAUtD39vbi+PHjcLlcWLFiRdjvZ7jo7u7Gb7/9Br1ej02bNiExMRFGo3HEQoDFYkFOTo6fj3JCQgKMRqPiwtNEIlaK6ViprscatLC8bNkyLFu2DMBLCy/KCuCtbEhFq1arYbfb/TKT+Owk+Tl27drl9zciwAMt1tOcho+nePsNp9PJCFkiOGmOMRlAc0NaxKH5h1JGmNJiFB870lws0L2NpXo6EMZSVa0EQVoLCPy5IIhrgUkJIkXGqkr5ZIOSKpuvuE2qbJ7Enuze3wICf0bQu0wqa4PBAI/HwxRyOp0OPp8PU6ZMQVFREQvoVCoVU0QHmvzzAVmw4o3yoIS2pSAwGMGtpOBWCqIocNfr9azNFDzxPqz84hzwsnAiXY9Go2FENoH6ON6qBAA7V25uLj7++GNmLcIrv+l+0rXyZA21jy8ORfeFB5FMcrVXKMiD4ckSHAPD6maNRgOv1wuNRoO4uDgAw/dUbn8ADPuI3759Gz6fD+np6Thy5Ah7DkjxCQD9/f3o7u5WLN4HDBN7PT097Jm4fft2zImxcDAwMIDTp0/Dbrejo6MDKpUK06ZN83veJyLwpcUd4KVycDztWngsWLAAVVVVkCQJmZmZKCwsHNUcIz8/H3/961/9/paYmMiKrSlBqY8JBqfTiZ9//hkDAwNYvXo1pk+fjtLSUmRnZ8NqtSI3Nzfigmz5+fl47bXX8PDhQxQUFGDJkiV48uQJ64N++eUXfPTRR377yJ8Z6mv6+vrw9OlTTJs2za9orcPhgM/nw4MHD1ihUKfTiRMnTrBjk6UKAL/FM3nmwLJly+B2u9He3o5FixahrKwsaGHJhIQEvPHGG7hy5QqSk5OxZcsWAMBPP/3E7EeuXLmC8vJyxMfHR3TvAkGSJBw7doxd04kTJ3DkyBHs2rULn3/+ObNEAYCpU6diw4YN8Hg86OnpQWVlJVJSUmLSDoHRw26346uvvsLQ0BByc3Oxe/duPwWzXF0NvBxr6X3g5wT8HIW2DQaaC9C7wIMytGixie83KHuKvLn1ej0jiSn7azKAxmSyUCObE/m1ytXT8sKI8rkfP1/k55Q0Zwqk0o4U46GqDnReWogYTSahgIDAqwfxpgtMSvCD358V8uvnJyuUMk+TDZ7IFmS2gMDEg5R75ONMKaGkXCJPUgqo5AEXryDigwJawCIVM33O/wsUCPIZHAQ+GOIJcf4zapM8IKKAiyfe6G8USPD2InQsUj/RdZDqmvZXSn3mldwUsPCLfZIk+V0X3W86D51XDv666fvhFwNCBdU8Nm7ciP7+fthsNsyZMycie4WxxtKlS9HV1YWOjg6Ul5ejuLg46PbV1dWMbDCbzRgaGmIKzfT0dJhMJqbeD6aM5Yu2qdXqCSuAaDab2XPq8XhgMpnw2muvYc6cOairq0NqaipWr14d0TFj4WU+Y8YM5OTkoK+vD2q1Go8ePUJNTQ2WLl0a0rs91qisrERJSQkcDgcKCgrGdS6xbds2nDhxAi6XC5WVlSGJ07Nnz6KhoQGSJOHMmTOseGRKSkpUZGdxcTE8Hg9yc3OhVqthsVjYZ1SXgL8vW7duZWrl5ORkmEwm1qecOXMGH3zwwQhrI4fD4UdOAy/tHmw2G1JSUtDX1wdJkmA0GnHgwAG2OMT7jKvVakVv+GAoLy9HeXm539/4Ps7pdOI//uM/MHPmTGzZsiVi8l8Oj8fjd3xSWaempmLLli04deoUXC4XDAYD1q1bB71e72ebMlnxqiilY4Hr16+zbIz29nY0NjaitLQUgP+zQ4vvtBjM+10TkSmPUfiMKvLL5o/JE7NOp9OPEKXP6Txyuxxg+B2hTDeyMplM5DVloBmNRka0ezwedq1y8QEvcuIzcSOJ/eTkN7/IwB9fiQivqanBL7/8Ap1Oh927dyM9PX3MVdVKEKS1gMCfE+JtF5iUIJsQgZcIlK7Pr6LTJI4nqASRLSAw/iCC2uFwsPfWaDSywkE6nY4FKYEUNgR6l+m9p2CP7Dno+LziiCehiTQORAjzfYs8AJKT2HxqqkqlYv0OH8jTueg41EY6P7WJty2hVFmdTgej0ch+JyLZ5/Oxe0lKLyp4SSnLLpeLZelQEB1ugd9gdiLhIjExEe+///6o9x9LaDQavPXWW2Fvn5ubi6GhoREKbWCYoAeGVaUrV64MWrRPq9Vi7969uHz5MhITExXV3eOBvLw8RrCr1WosX74cKpUKr7/+Ol5//XXFfQYHB2Gz2ZCTk+NHcLS1teGHH36A1+vFihUrovKk1mq1OHjwIDweD/7xj3+wxYKqqiosW7Zs3ImVQMr5cNDd3Y2ffvoJPp8PW7dujcgmJzMzEx9//HHY2w8MDPi9qzabTfE5pP41ISEh5FzIYrEwFbDBYMCWLVtQVlaG2tpaAFBUoGdkZLB2S5KE//zP/2TqZZVKhfb2dj+boeTkZMTFxWHx4sW4c+cOWywja49vvvkG3d3dbHuz2Yzz589j586dYd+bQOA9hnm8+eab+Pe//+2XmVJXV4fs7GwsXbo0qnPqdDqUlJSgubkZAPzelenTp2P37t3o6OjAjBkzRtjHRIuOjg788MMP8Hg8WL169R+msON4g7f5AkZ62NOY63Q6/cZ9Gp/5Gj483G433G43DAYDq5tB9TJoDkEZZ/J5AJ8hQ/vR+K+UvaHX6+F2u+FwOBh5TUT2RJDXdI30/tMcjVdP0++87Uos4jmlDF++TUpzR5rznTp1is3NTpw4gb/97W/jHmfSM8Bn2AkICPw5IN54gUmHQCvnAv6Qe5YBLxWPvL0IkVL8Cr2AgMDYg8hmUpRRsEVqYFJjk6czkbDBgoBAliK8tyS979SHUgYLv+Alt82QK4t5xQ0FrrzKiVLXKbCUq6CUgiClwlByopiCWbpWvs8iaxBgeJzgFVNEUhPRSn8jspv2CWazEg5I3fVHx7Zt23D9+nUMDQ2hsrLSbzzW6/URFUvMzs7Gnj17xqKZYUOn0+Ho0aN48eIFUlJSkJycHHT72tpanDt3DsAwOXngwAH2Xp45c4YpZq9fv4758+dHbe0hL5waazLA5/OhsbERWq0WxcXFI47tcrnwzTffYGBgAPn5+di5c2fEc4UTJ04wj3ciNWKJ6upq3Lt3D/n5+Vi5ciVOnTrFFqYyMjJgs9lgsViQmZkJjUaDnp4efPPNN/D5fMjMzMS+ffuCerHfvXuX9aNOpxNPnjzBjh07MGvWLPh8PhQUFMDlcqGrqwtpaWkjMg1UKhU2btyIn376CQCQlZWF1tZWvwVDvV6P+vp6zJw5E//1v/5XWCwWJCUlsfdLqQBkY2Nj1Pfu6dOn+PnnnyFJEpYtW4bly5ezz3Jzc1FQUICWlhb2N6/Xy2w8+vv78fTpU+Tl5YVdSJjHtm3b0NPTA61Wi7S0NL/PCgoKUFBQALfbjTNnzqCvrw8rVqzAtGnTRnmlL3H69GmmmL98+TLmzJkTUzsgn8+Hhw8fwm63Y8GCBX6Le+MBr9eLW7duYWBgAMuXL0d6evqojhNqTKusrERbWxsGBgZQVFTk991IkuRXoJT+Rv2hy+VicxX+c7L3oDGc5iD84jkdQ55xRscgCx6KcWghXek7puPRQhYVkRxL8pqumZ93KM09eNEAtYMn/10uF7NTG0uCmBct8M8E9V/yOSI/1xovCNJaQODPDfHWC0w6/JGLMo41iNQiyNPB5PYiQpUtIDC2IMsQPqBSq9UwGAzwer3MJoNURzyZHQq8UponpGnRij7z+Xx+XtrB1DZERFOQSMfjz0lqIApKlVRO8mPL7UDkC2mBlNvy4ox8O3ivamA4AKQUW/5YvL/maMAf71UkrW02G3799VfY7XasX78+LFWtVquN2IZgskOn06GgoID93traitOnT0OlUmHr1q1+pNyNGzeYsqyvrw/9/f2MGIrUjzlcvP322/jxxx/h9XqxefPmmI7Lx44dw4sXLwAM20Vs3rzZ7/ObN28y+5fnz5/j6dOnKCsri+gcfD9B73M41+DxeHD27Fm8ePECCxcuxMKFC0dsYzKZcOHCBTgcDvT09MBut7M+wG634+LFi3j8+DEkSUJSUhIOHz6MS5cusQWGrq4utLe3+33/PE6dOoXGxkbW1xgMBkyfPh0qlYo9F06nE//85z+ZTdE777wz4l0qKSlhRRnT09Nx7949P7VqW1sbTCYTXC4X5s2bN0JlXFhYiMbGRj+yW6fToba2FuXl5SPup8/nQ3d3NxISEoJmPpw7d44RjLdu3cLixYv95orbt2/HDz/8gLa2NgDDz/SsWbNgNpvxxRdfMBX6m2++yWwiwoVKpUJWVlbQbc6dO4fHjx/D5/Ph9OnTzPolGigtTL548QLnz59nY0JpaSlWrlwJp9OJe/fuQafTYcGCBWGRYmfOnEF9fT28Xi8ePXqEjz76aFzn0nTPPB4Pmpub8fe//x06nW7EeB1qgTbUmGYwGHDo0CG/v9G8gldh82Mu7+tOzzLFH/SO8fMGGruVoJRxJq8NQPuSNVggQpViS14oEC15rbRAz88VeBEAXxiRvqdgi55KmXpjFR/Lvarl9nUJCQmorKzEzZs3oVKpxt3SR5DWAgIC4s0XmFSgSYnBYJjopvwhIPfKlXubuVwuZi/CW4wIIltAIDaQW4bwihqtVsvU1y6XiwVmo5mc84S0PMDjSWa+DYH25xFIoU2gwkxKC2J8EEvH0Gq1isohCiZpXyqsKLcMIVD/pQS+feEE7qHwKpLVPE6ePMkIqW+//RaffvqpyGgCmDcxAPzwww/4+9//zj5LT09HX18f++55z+UdO3bg+++/h8fjwZo1a2Km4szKysIHH3wQdBvqH0ItFvHwer3o7u5m1xpIwStfNIoUK1aswNWrVwEMe6qrVCr09/fDarViypQpAZ+5a9eusSKIV65cwZQpU0YQwmazmRFeXq8XT548YZ+5XC7U1tYyYpa8eMkehAj0YMW+W1paGJGk1WqxdetWzJgxw2+bZ8+eYWhoiBFxt2/fZhYfPOLj4xEfHw+TyYRr164pZpU8e/YM8+bNG7Hvjh078OzZM1RXVzMC2+Fw4NSpU+jo6PCztZEkCV9//TV6enqgUqmwefPmgKSyfCzh+3mTyYTvv//eTzkrSRKampqQmprKnhun04n6+vqIietwwL9rkiTBarVGTVxv27YNJ0+ehNfrxcqVKwEA3333nV9ByMHBQWRkZDAfZ7VajefPn4eVIdLS0uJHytrt9pgVtQwH7e3tfhlIvb29LNuAJ1CBl983LWgTwU1jMo3P4YIvsixfbKc6PLRAzReH5kGLTxRzUBuCjU18xhkRmXIQiR2I5CUy2Ol0svgoFHkdKIOM/sZfB6+eDtRH0z0KR6Uvz9TzeDwxUYnzGXskWOA9rQH4WdCpVCqsXbsWq1evHvc4kbIKBWktIPDnhnj7BSYVAnmhCcQGSuQUP3nh7UXkRLYgswUERgclyxCCSvWyII/b7WbFh+hd1Ol0o3r3KMBTqVRwuVzQ6/UBLUVCWZPwQSWBSCAKePgAKNA9cDgc+D//5//AarVi/vz5TPVJ/tQA/AJcPigdLfkcLWkdCK+SZQjZNwAvU6zHO619sqG1tdVv4UO+CPLmm2/i3LlzGBwcxJo1a/xIz5ycHPz1r38NeOyGhgbU19djxowZmDlzZszaPDQ0hC+++AIulwsJCQk4ePBgWBYlRNTY7Xao1WpFS4Fly5ahubkZZrMZubm5oyInFy1ahNmzZ0OShosKXrp0CXfv3oVarUZqaioOHz6sOLcbHBz0I6WtVusI4rqoqAhJSUno6+sDAD9CTq/XIz8/H01NTUwpmJSUhHXr1sFisaC3txeLFy8OqvpNT0+Hw+GAJElITU0dQVoDwwUFyZJIp9Ox43V2duLevXvIzc3FwoULWX9aU1MzwkYBGFawzpo1S7EdKpUKJSUlKCkpwcOHD/HLL7+wz2pqavyI676+PvT29rJ+8ueff8a1a9ewcOFCzJ8/3++4b731FvN7fv311/2+h1OnTsFsNvttr9PpkJiYiNzcXOh0OkaWTZ8+PeA9jAYrVqzA6dOn2f0PVNi2ubkZ586dg8FgwFtvvRXUF3vKlCl+djVWq3XEeOByudDb24uhoSE2xplMprDaPG3aNNTW1sLr9SIuLi5gn+r1enH8+HGYTCakp6dj7969iu9toEVWfv7NjzkVFRW4evUqO39qampAApqvJ0FELc0R5IQyv8BNBaQDgc7FLzDzi9c0h6H+lY4tz+4i0PyEj1V4uzIepGDmCW9e6Uy2YzzZzVthEHnN3xMSTfG2HvIFAJoz0dxsNPGR2+2OeG6nlKkX6THkqmqebOdtOoN5ao/3ojfNWw0Gg1hwFxD4k0MQ1wKTClR0S2D8EEiVTRMbKs4h98kWRLaAQPhQsgyRf67RaFiwRduTH+NoF/N4yxDeUoTIYnq3eZ9F+f48iU6BHLWH97Xm+wsK5iiI9Pl8OHPmDLq6ugAA9+/fR1lZ2QiCKhjRLPeApECLb/NYEdVyhCKtY6H0jhWWL1+OK1euABgmc2JFWpvNZvz666/wer144403RvjXTmYMDg76fUd5eXl+n0fq401oa2vDmTNn4HQ60djYCL1ej5KSkpi0+e7du6zwn9PpRF1dnaJqVwn79+/H9evXodPpmPqUh8FgwNGjR6NuIxH8Z8+excOHD9n9NZvN6OvrQ2Zm5oh9VqxYgdbWVvh8PiQmJqKwsHDENnq9Hu+99x7+/e9/+xUvJJLljTfewJUrV2AymbB06VJGzu/duzesdu/Zswe3bt2C1+vFsmXLFLfJycnBxo0bcf/+feTn52PJkiUYHBzEd999B7vdjvr6eng8Hrb/lClTUF1dDZfLBY1Gg4KCAhQWFqKwsHDE86aEjIwMv99TUlL8fpe/xw6HAw6HAxcvXkRaWho8Hg/S09ORkpKC7OxsfPTRR4rn4S0aNBoNEhMTUVJSgjlz5kClUuHdd99FXV0d8vPzY/YsyzFt2jT85S9/gdVqRXZ2tuJ45/F48NNPP7HFgJMnT+LAgQOw2+1ITk4OOSdNSEhATk4OOjs7mVWEwWDA/Pnz0dTUxKwsAtnJyLFp0yYUFhbC4XBg9uzZAc//5MkTtLW1wePxsEUO3mOcwFvr8GOHWq1WJKMXL16M3NxcOJ1OlJSUhLx+uY2H3PqK5iC8FRiNr1qtlmUk0EI7tYnvR5XsveS2ITSOyzOvSAFOKm4llTbdD55spT6A5jOkxqY5AnlqkzBATmDTvAx4ScDTfSDFcSxjHpq3jKYugjxTL1RhbyVVNV8Dhf5O16k0B5xICNJaQECAhyCuBSYNaMITbZEjgeigpMrmLQKIxOJJ7Mk22REQmGwIZBmitA3vR6/RaPyCk0jfM3mhW3q/5YWPiMjmMy3ofed9rEnpA7wMivi0YEpppaDR4XAEJErDIXZJZSS/bjlRHgvwwSmvshoNJgtpDQALFy5ESUkJnE5nQCXjaPDtt9+it7cXwLCH8ieffBKzY481pk+fjqSkJPbMv/HGGyH3cbvdsFgsSElJCRhEEykGDBOC7e3tMSP7jEYjIxtIMRguEhMTw7rGWKGhoWGE9Yi8mCEhMzMTH330EaxWK1JTUwMu0mm1Wuzbtw9nz55FR0cHhoaG2Hzk2bNnI3y7I4Fer8fq1atDbjdr1iw/tXRfXx8j6dxuN1pbWxlxXV5eDrfbjaamJtavFBcXh+UxDwD5+flYtmwZ7t+/j6SkJOzbt8/v8/j4eOzYsQOXL1/G0NAQU017vV5mkaHRaLBz586AZOyTJ0/8iMW4uDjMnj0bq1atYm3OysoK6VEdCyQmJga1ByHijTA0NIR//OMfkCSJFd+sq6vDxYsXYTAY8Pbbb/stpqlUKuzduxcmk4mRnmlpadDr9di/fz9qa2uh0+nCzpIgH/BQkI8FgVTV/PjDE7bBLDzy8/ODnpvIyFB1HqhfCUQU820mgZHcKoNUukSGBmo378ENvJyT0JxBbvHB2xvyP9PxaZ4iv3dkS8aTtnKLMZrv8KptIpXHKqYh27Zojk+ZejRX5BcClFTVNDdTqVRs3kTXPtZFH0cLQVoLCAjIIYhrgUkDmgxNxgH0zw6+iBrgP5EkwksprU98lwICLxHMMoQHX5CHiGNS7UUaZFAgGKxNSr7YFFzy2RgUOJL9CKXlK7WLFFv839988010d3fD4XBg+vTpzPeWD0KV2q+Ubj8WmIzWH0oKvNEgWEr9aMF/L06nM+xifJMBcXFxeP/999Hb24vU1NSQKnSz2YzPP/+ckRpHjhxRJI5nzJiBmzdvslTwWFqFLFq0CJ2dnWhvb8eMGTMU7SwmCwwGg5+XcHl5edB7rNfr/SxMLBYLuru7kZub6+cbHB8fj7fffhu3b9/G5cuXWTHv5OTkMX/+iKTj50J5eXkwGAysAO78+fPR0NCAc+fOQa1WY/v27TCZTKiurobH40Frays++OCDsLIeBgYGsHDhQqxduzZgO4qKilBUVISuri4cO3aMKU7tdjsj8O7evRuQuH769KkfkWi1WnH79m0kJCQoFsmcSBgMBsyZMwc1NTUAhp8FUt93d3ejtbUV586dg8PhgMViwY8//jgii0ClUiE3N3fEsXU63Qh7lVhh1qxZePz4Mbq6upCWloZFixb5fe7z+TAwMICEhISY1fehcZtqUCh9zo+5NLYT0Q2AqdLl2UNKpDQVSCRCli/WSO0g0PH4eQU/9vIku5J3NB9bOBwOdjz6R+CvnT8OrzTn7THI95tszSKpIxAuiECPlU+zRqNhhb358Zi+f71e77fID4AJESazJacgrQUEBJQgiGuBSQFKCRNq61cDvL0IEV58ShoVhOPVm8JeREDgpWUIFUUKBPJQpJRQPlALlhrKg1dDhQNaiJIkiRHOpOjhA0IKUINZmPDFmwgpKSn429/+xgpRkhqICPBAKdGxxGSy8AgHY9FWp9OJFy9eICMjI6oCaPPnz8f9+/cBADNnznzl+ne9Xh+WZQMA3Lt3D1arFcDwO1hfX69IdKWlpeHo0aPo6OhAbm5uTBcMNBoN3nrrrZgdbyxRXl6O69evAxh+5+S2F8HQ09ODr776Cl6vFzqdDocPH0ZycrLfNosWLcLg4CBaWlpQXl6O33//HRaLBZmZmXjnnXdiTnb09vbi2LFjcLvdKC0txebNm6FSDRd8PHr0KFpaWpCeno6srCz89//+3xmJdOrUKcTHx/sV0TObzSGJ6wsXLqC6uhrAcKHLyspKAMNk9tdffw2Xy4Xi4mJs374dKpUK2dnZ+PDDD5nq+uuvv2a2VMGe8ZkzZ6KpqcmPLHS73ejp6Rn1vWppacHZs2eh1Wrx1ltvKXqqjxYbNmzAihUroNFo8Ntvv6Gnp4f1kfL4IVDx3mjR2dkJs9mM4uLisIhmjUYzQi1P8Hq9+OKLL5h10Z49exSJ9XBB43EwxTN9TmMhb/cFgI37NL+nz2gRXafTweFwsKws3kaEtxokyIlzOg8/R+CLMtN1yJXVSgQ8f91yb21qE180Mtj94BXcKpUKtbW1uHTpElJSUrBz586oC2/SYv5o65bwUFJVkwiA7ER8Ph/zKCf1+asQhwnSWkBAIBAEcS0wKUATism8AiwQGLy9CG8j4PV6/exFiPDmJ5gCAn8m8JYh4bwDfEEeSgklJVSodFOy9AkVqMh9rHmfS3lxIgL9XSmzggI0XlXOe2bq9Xp2TJ4wGWvSmtrxZ4bNZsO//vUv9izt27dvhH3I1atXUV1djZycHGzfvj2gYn/NmjWYPXs2fD7fuFgJTCSSk5NZITOtVoukpKSg28qJ1j8bGhoa2M/hWioQHj16xIhfl8uFpqYmLFiwwG8btVrNChVevXoV3d3dkCQJnZ2dqKurw+zZs6O/CA7nzp2DxWIBMHxtfLHH+Ph4lJeWAk47fB5/6yJJkrBw4UKcP38ePp8P8fHxIUl8SZLw4MEDRrzeuXOHEdfnz59n5PSzZ8/Q2dmJKVOmABi2kqEsgK1bt+LChQuQJCnos1haWoq4uDg8f/4cDx8+hMfjgVqtHrXa2ufz4YcffmDf3/fff48PPvhgVMcKBCL9N2zYALvdjt7eXlRWViIvLw9z587Fo0ePoFKpxsQa5+HDh7hw4QK8Xi+SkpLw3nvvBc1oCoX29nb09/ezcfDq1avYs2fPqI8XSdYQ70vNE5/k80yiFH6xl+YTVOwVeEk8O51ONobL5yekfqY6HrwiW4lkDzQXoPkG33b+uomQp1iDYhCNRoO4uDg/32v6TK7UBoaziU6dOgW73Y6uri6cOHEChw4dCvveKoHPUIsUgbyq+Ww3EoB5PB5WfJOfz70KEKS1gIBAMAjiWmBSgILBV2VwFQgNWvUnyL3phL2IwJ8V4VqGEOQFeVQqFfOVDrY/X0RRCRTo8D7WtB/vW03vscfjgdFo9As2eV9seofdbjfzjXS5XCOUUnKPy1DXPh5k82gsOUbbNnma9niiubkZQ0NDLNC/f/8+Nm3axD5va2vDnTt34HQ6MTQ0hGvXro2wKuARiZL2VUZFRQV6e3vx/PlzlJeXo7i4eKKbNKnBP9/h2BtRH0RWDlRszWAwIDMzEwMDA6itrUV2djamT5/uty+/0AaMjQBCnh1DpIqqswW6n76EpvExJJUKKknC+pxSnNcnAWo1CgsL0dvbi507d8LtdqOgoIAdy2azMWuL9evXMyK8vb3dTy3MEzjydgTK2rFarbBarXC5XDh79ixSU1MDKnmnTp2KqVOnYunSpeju7kZaWlrE6lKfz4e+vj42PhBCeStHA4PBgN27d/v9bf369Vi9enXAOhLR4sGDB+yaHA4Hent7o1JIJyQk+BUKlBfgHC8ojWNU0JCfl/MFkePi4mC32+F2u1kWGL338niOiGr6O80bAp2bBx1HbvPB/52OL19wJ3i9Xka08zV8eP9ufoGeyHtq38DAAFOhjwakWI/E6i2QVzWvnA5UZ4TmYbQQ9SrEVWQ7KUhrAQGBQBDEtcCEg0iQaFQLApMfvL0IAL/JJaW0kfKDtxh5FSZcAgKRIlzLEB5UkIfIZkmSYLfbA0705YUZCbznIV/kze12+wWeOp2OBXh8UUaeSOdVPnJCWomcpWCLL8YUDOOlkI70POGS1nw6NRH4oyWtY+F3nZ6eDp1Ox1T7crW1w+HwC+R5n+I/M9RqNTZu3Dgh5x4aGkJLSwsyMjJiWlxzLLFlyxacPHkSPp8PixcvDlhIUpIkHD9+HJ2dndBqtXj33XdRXl4Oh8OBpqYmzJo1C+np6fjf//t/w2azQa/XY+3atX4K7MWLF6O5uRl9fX2YMmUKysrKYn49mzZtwnfffYehoSEsXLgQ6enpUD+6DcPn/x+ohoaV2DRTWdZ0F0viE/Fl6So8efIEXq8XDQ0N+PDDD/3mM99//z3a29sBDBc3/fTTT6FWq9nfCPz1bNiwAf39/bBYLJg3b17A58FkMjHy2+12h0Ww6vX6kMX+lODz+fDVV1+hr68PwHABymfPngEAXnvttYiPFy3GMpaYOnUqenp64PF4oFKpoiaaMzIysG7dOlRVVSE7OzvoImE04G1BeNUx4G8ppjS28IpkIkjlntfyOhRkacarqmm+Qu2RL6yT9ZjT6WTzf1JF87YivILY6XT6xQlKXtdK1xNqDE5JScGUKVPQ0dEBYDi7iBYsyEIlkoURel6CEbLhqKr5a5TP1+SkON0/mrvFwqJkrCBIawEBgXAgiGuBCQe/kizw5wFvL0LgJ268vYicyJ6sky8BgXARqWUIDyKNSVFDgZ48cFEqzOjz+ZhnNaUCk4VHIN9qWlySJIkRm+GSp2azGSqVCllZWYzgJjL3VbXtIP/IcNpPxHwwf07gJcENBCbFY3G/8vLy8MYbb6C6uhpFRUWoqKjw+7y4uBgZGRkYGBiARqPBihUroj7nqwSfz4fr16/DZDJhyZIlKCwsnND22O12/Otf/4LdbodOp8PWrVtHKI4nI6ZOnYq///3vI4oZytHe3o729nZGCl28eBFvv/02FixYwMjpZ8+eMYLG5XKhvr7ej7jW6XQ4cODAmF0LACQlJeEvf/nLyz+YB2D4/P/LSGs51DYrTD298KqH+1+Hw8EUl+wQ/9fyA3hp12QwGDB9+nRUVVWxAnFz585l2yUkJLCCg1arFZcuXUJiYiIWLFjgd58rKipQX18flT1BuOju7kZvby9TqQ4ODuKjjz5iY9JY48KFC6ipqUFCQgL27t0blW9/KKxduxYJCQno7e3FkiVLwiqyGQrz5s3DvHnzYtC6wOAXI/nvhRY3+MVkemcDkcDhjEO8DRg/zydlNp2H5j+8vRgpt4m05X2rSV3Mg/oGig/kcQKR37waOxRUKhV27dqFgYEBGAwGloFA/t/8e+VwOPD999/DarVi8+bNI/pnIpmVFu/CUVXz21INIeBlYcZA/as8Uy+S+ijjCSKtJ3vBSAEBgYmHIK4FJhxkEyIgEEiVTZM6UpnKfbIFkS3wKiJSyxAeRHxTUELKGgpk5IUZKTDk011dLtcI9RAR2xRQ8ZArqvl3UKPRMDUWpflfv34dVVVVkCQJc+fOxfr169k5xgPBVNH8Z7xlEd07CkyVCOdQJHS4oO+BD6z5QldjhVmzZgX0HNZqtTh06BBsNhuMRuOkC3LHGlevXsXt27fh8XjQ0dGBI0eOTFj6PgB0dHSw99br9eLhw4djRlybTCaYTCYUFhbGpKhkoEXm/v5+vHjxAvn5+X4qQMookSM7OxtarZZ5n86cOTPqtskxODgIi8WC3NzcsOaj2ks/AfYhAECjIRl3E3NQ5DBj6ZCJKa9LbX14lJQDr1qDlJSUEYuIS5YsYQUs8/Pz2bVnZmbi4MGDaG9vR35+vmJxQ6/Xi88//xxmsxlarRbd3d3YvHkz+zwnJweHDx/Gl19+iaGhIfzyyy/o7+8PeyHKZrOhsbERqampKCgoCLotbyuiVquRlpYWE0I3HJhMJlRXV8PhcMBms+H3338f0wKmarUay5YtG7PjjwcCFW6kcVmuaqa5AzA6eyxe4axUMJNvC6/c5tXZfB8hr6MjB5/Nxc9j+IxOvkYH/3d5m9PS0kZcC/+zx+PBsWPH0NbWBgA4fvw4/tt/+29+Czbk7c2fN5SqWt4Oj8cz6iKL1K/y1m6RWJaMJQRpLSAgEAkEWygwoaBJxZ8tOBYID0qqbH4ySqpsOYE2GSZkAgLhgCwkIrEM4aHRaGA0Gpn6mhRMLS0t0Ov1KCoqYj7TfCBKi0TyAonB2hnIvkeSJJw/fx41NTWYNm0a1q9fD7Vajdu3b7Pg8969e1i6dGnUajgluwx67+nvvA8ntZkWvXj1FgV0fKGmgYEBfPnll7Db7cjJycHevXvHLKCSB92kzJpoqFQqJCQkTHQzJgSdnZ1sYYKeh4kkrjMyMvzmR21tbejp6UFmZmZMz9PS0oKTJ0/C6XQiLi4Ohw8fHpPrNplM+Oabb5i6+NChQ1i4cCEePnyI1NRUrFu3bsQ+8fHxOHToEJ48eYKsrCxMmzYt6nZYLBb8/PPPcLvdmDVrFq5evQpJkpCYmIgjR46E7Iu1dy5D5fOiSxuH7zLKYNfo8NSYCjUkLBnqAgBs72/CDJUL1nf+ipkzZ47oN5csWYJp06bB5XIhJyfH77PU1FTcuXMHt2/fxvz587F48WK/z61WK3tOPR4Pnj9/PqKNPDnmcrlQW1sbFnHtcrnw2WefwWq1QqfT4bXXXhtRHJNHUlIStmzZgmvXriE9PX1MiiIGgpxEnajaAX8kBCK2gZdzh/HKlpLPWZQU07z/NjDyGeCPwZPV9DfaV05Khwur1er3u9PpZMQ1jelkzxVKVU370HdAQgOaf0UT2/BzRbvd7qd+nwiQvZwgrQUEBMKFIK4FJhSiKKNApFBSRvAphKLoo8CrBCJPR2MZwh9Dr9dDq9XC4XDgn//8J/r6+qBWq7FixQosWbIEgH+QJt9fyZIHAFPpBPNHrK+vx82bN+FyuWCxWJCeno6KigoYDAbmkez1evHFF1/go48+GnWQwvtj82QeLWJR+0lBzrdXo9HAbrf7KbDIZ5z6EEmScPXqVfT39wMYJjGbmpowY8aMUbVXYBh9fX1oaGhAbm4uioqKJro5QbFkyRKYTCb4fD7ExcUhLy9vQtuTmpqKbdu24cSJEyyr4qeffsJ7770X9bFtNhucTidSU1NRW1vLrB4cDgdaW1tjRlxLkoSbN2+iqamJ9VF0/ubmZqxevRqrV68OeoyUlBQsX7486DY+nw8//vgj2trakJmZid27dwf0O/7uu+/Q3d0NYPg951WZJpMptNfz/yWNu3XxcKuG+zOXWotWQxIjrlUAyt1W2OfMwdDQEO7cuYOkpCTMmjWL9U1KamoAqKqqwqNHj+DxeHD16lXk5ub6tSkpKYmNG1qtVlGFnpyczPpJrVYbtu1NT08Py7pxOp2oqakJSlwDQGlpKUpLS8M6fiyRk5OD6dOno7GxEQaDgWX1TDT4bKc/GvhMpWAELy2M07tF8xutVutX44b/P9C55D/T+fm/y4UrpGxWsjpRanuw7Cx5gUoAjHjetGkTfvzxR6hUKpSUlCAxMZGRzvwiaCBVNZ2btwKh+xRrZbQ8U8/j8bAMub6+PmRmZo6LvQ+R1sGsTgQEBATkEMS1wISB0qwCFe0REAgHvL0IefbKJ4GktOQtRv6oQYXAq4doLEPkx3G5XDCbzSwl9+7du4y4JsgDMQKv9CEEsszg9+3v72dKYbfbzbxb9+7di//1v/4XO57b7YbNZmOq63ALNPLt49up9Dkpy/nrCxSQUoDI/4uLi/NTZL9qNlaPHj1CVVUVcnJy8MYbb4xpobLnz5/j6dOnmDFjRkBC2mKx4Msvv4TNZoPBYMAbb7wR0KZkMmDatGk4fPgw+vr6kJ2dPS5BfChkZ2dDp9OxZz6UGrCjowOnT5+GSqXC9u3bR6h5geHFpl9++QUqlQoFBQWYOXMm6urqmFowVCG/SFBTU4MbN27A7XazImGktIvleRoaGtDc3Ay32422tjbcvn07oMJ4aGiI/UyLdpS9lZycHPJcUnIqMNiHYucg4nweOABoJR8WWbv8t9MPF9P997//DbPZDJ1Oh66uLkVludvtRkNDAwwGA/r6+vwU1RaLv5e2Wq3GkSNHUFdXh4SEBEUVuk6nw8GDB3H37l2kpKSEJJ8JaWlpjEzS6XTjttjU3t7OVNtr164Nq+9VqVTYunXrpCGKHQ4HvvrqK1itVuTk5GDPnj2vFDFHBGZaWpqibQ8PeT/EW5TR50ajkVkdETkdqE/l623QMaiehNIcQX7+QNsFazu9+xQzkLo5WIxAKmqar82aNQuFhYWw2+1ITEyE3W732z+YopgEN3yRxfFQIJP62uPxoLOzE19++SV8Ph/0ej0++eQTP/ufWIOyAwVpLSAgEClerYhM4A8FUZRRYCzAq0flXni8vQhvIyCeQ4GJRrSWIYSEhAT2LKvVauTk5IzwrAQCk19yhRNfqIkHBYg+nw+lpaW4ceMGXC4XtFotFi5cCJVKhdTUVFRUVKC6uhperxdGo9EvIIqkyCOPQBkUgRTlwcAHuyqVCsuXL0d7ezv6+vpQWlqKoqIiPy/q0WCsUqslScKZM2fQ3NyM1NRUbNiwAefPn4fD4UBfXx8kScK2bdtifl5g2LKCrCUeP36M3bt3K6pUOzs72aKG0+lEfX39pCaugeFn4uzZs/B6vcjNzcWePXsmlBRLSEjA4sWLcefOHeh0Orz55ptBtz958iRLX//+++/x17/+dcQ2ly5dYsrn1tZWbNiwAW+++SZaWlpQXl4eUyuS7u5u9gx4vV7MmzcPXq8X5eXlMVW00yI1EHhxCwAuX77MFvZ0Oh1mzpwJg8GA7u5uLF++HElJSaHP9frbUH/5/0OC045PTQ/Rok9CtseOdI8D7E3X6uB5bSvMZjMjod1uNxobG0cQ15Ik4csvv0RPTw/UajWmT5/OitT5fD709fXBarX6WS0ZDAbMnz8/aDtTUlIiViHHxcXhwIEDuH//PjIyMkKeIxaw2Ww4ceIE7HY7WltbMTQ0hKSkJCQmJmLx4sUh52ejeT99Ph+z1JoyZcpom+6HmzdvoqenB5Ikob29HQ0NDQE92cfTciMcWK1W/Pvf/2aezIcOHQprEYcgH3d9Ph9sNhsjcWm8J59llUoFm82G7u5uZGZmwmg0jlBeB1swB6IvWEz9BIkHKMPs0qVLaGpqwty5c7FmzZoRbaAFYepDVSoVkpKS/OZaTqeTkeDyc9JcjzyuSbAwXuMMP/e6f/8+W8hzOByoq6vDwoULx+S8grQWEBCIBoK4FpgwREvQCAiEC7lykrcXoYmqsBcRmEjwliHR+A7qdDocPXoU58+fR2JiIlatWuWX2hrJcd1uNwuqCHL/RZVKhbi4OPz973+H2WxmgS6loG7fvh0zZsyA1WrF7NmzodFomLKJL6AUCYIR3vzCFX+tvPo6UDCsUqlgNBpx4MABti0QvW/qWJETz549Q0NDA1wuF+x2OyuECQyTBuQJPBbFxFpbW5k3OllLKBHXVOyO0oKV7ASeP3+OW7duITs7G6tXr57wmhcXL15kxG9nZyfa29sxderUCW3TypUrsXLlyrC25Z/vQIVEk5KSmCUOAPbdRGv3oKR8raiowOPHj+Hz+aDT6bB69eqYeqjb7XacPHkS/f39SEhIgMvlQmJi4ohME2C4T7t//z67LzqdDuXl5dBoNFi/fn3Y/aO3ohLS6a+B7g7E+zzId1nx76xZ6Nca4QMQ7/PgXZcJaSs2IlmrY/MPnU6nWFzT6XTCbDazfvX58+eMSJMkCdeuXcO9e/dw6NChmBTODIX09HRs2LBhzM9D4H2CvV4vGhoaWDG6np6ekIs1kUKSJBw7dgwvXryASqXCwoULRxCUcjx48AA3b95EWloaduzYoZgtKrexC0bOTSbSGgDq6ur8lP3V1dVYtWpV1MeVj+/07g0ODuLzzz9nsWAoopzPpKJ/brebWXbQuWgBi9TTNGcJtpjFz0MePHiAO3fuwO124+rVq8jLy8OMGTP8YgZeeEX9Gp/dRNtRkVJ5kcVAlmaxRCA7Fvn3kZ6ezrJgDAbDiIKUsYIgrQUEBKKFYA0FJgQ0iE+GNFyBPx94exHAf4JHvo58IbdARekEBGIJyhJwuVxReRtmZWVhz549jHimQNHhcDB/w3BA5DMfrFE6PQWFlC6r0WiQnp7OlIxGo5ER09OmTWOBHoFIbyXfSiK/aP9AyjSeoJYXbpL7ZiotRMmPKw8kKTuD2qt0fvKHpOOQSnI8wPt3SpKEuLg4JCUlMULZ5/Ph7t27Y0JcT58+HXfu3IHdbofRaGRWBZ2dnXj69CmKi4tRUFCA5ORkHDx4EHV1dcjLy0NxcbHfccxmM3788UfY7Xa0tbVBkiRFG4XxBD27dG9DpcyPBTweD7799lv09PQgPT0d77zzTti2LytWrMD169cBICDxtH37dpw+fRpWqxUbNmyIei7m8/lw4sQJdHR0ID4+Hvv372fkdHp6Ot5//3309fUhKysrqvspScPFZHlLpd9//509O7TwFEgxLh/H3W43fvjhB6hUKsyaNSv8woIaLRz/7f8Fw3//f0I90IufjXno0sUD//fYFrUGP+YsxFFjHLQADh8+jEePHiElJUVRgWswGKDX62G326HRaJCdnQ2TyeR33TabDfX19WPyPk80MjIykJSU5Oc1Th68ra2tMT+fy+VCd3c3G68ePXoUlLju7+9nWQpmsxnnzp3D9u3bR2xXXl6OW7dusfEnEoKuoaEBVVVVyM3Nxdq1a8d0AU+SJPz+++949uwZZs6ciVWrViE1NZWNZzqdTpHADKYSD2XNJcfjx4/9LHuePHmCFStWsHeUSF6aryvV2aDaFkQKk0hFvvjP30u32w2v1+tXmJnP1hgYGGAZImSdYrfbGRku96rmYwZqI91D3gqE5nexLIhIcx4lgppfRJR/N3QdGo0GlZWVsFgsePbsGRYsWDBijI4FBGktICAQCwjiWmBCQKlogggUmAzgVZoE3iebtxeRE9niGRaIJXQ6HRwOR9QZKRRgkuKIVEGUvhqs2CKpkokkAqBY2Z5Sfokcp2BNrVbD4/Ewwlxe1AjACMJZyb+XJ2WpveSNC8CvABJPpsvfS3lwJyfD6X+6Vv7+BYLcUx8YVrRTwDseaeDTpk3D1KlT8eLFC8THx2PVqlXQ6/X4j//4D9jtdmbXMhbIzs7G/v37mRo5IyMDJpMJ3377LRwOB+7fv4+dO3eisLAQ6enpzGuYFiyorx0cHGTPhcfj8SPrJgobNmyA2WzGwMAAFi5ciKysrHFvw6NHj9DR0QGv14vOzk48ePBAUUGshCVLljB7h0CEdEJCAt55552YtffZs2doa2uDy+WCw+HAlStXsHnzZvZ5fHx81L6pTqcTX3zxBYaGhhAXF4dDhw7BaDTCZrP5vWtERipBo9Fg27Zt+PXXX6HT6fzqAdTX14dPXANAUgqc/4//N9RPa+D56SfA7d+fajiCPiEhIWhxSZVKhUOHDqGqqgpGoxFLlixBbW0tLl26xEgzg8Gg6Ff+R4BGo8Hs2bNx48YNtihBxdvHwlqIihkDw/c+IyMj4LaSJOH27dvsOZEkyY9w5dHd3e033tXV1Y1Q2Pf29uL27dtIS0vDkiVLoFar0d/fj59//hkOhwMmkwkajQZr166NxaUq4uHDh6iurobb7cadO3eQl5eHadOmobKykrVZft+JeOWvj8Y74GW2RbhjHxUCpMXvvLw8v0UttVoNh8PhNz/g5y00blCWGimvg81raPz3+Xyw2+1+n9N+CxcuxOPHj5m4aubMmUGPrVarYTQa4XQ6WfYmnYPmJdEIEcIhp/lFfHqu+WvlxTpK86PVq1fjjTfeGJN4RpDWAgICsYIgrgXGHUSKCLW1wGRGIFU2kWVut5spMHifbEFkC0SDWFmG8MEjEdY+nw9xcXFwOp2sCBsFEhQM8YWCyPdR6bm2WCzweDxISUlhxyafbnnQKrcPCKRGI3U3/UzbOp1OP0KY0oO1Wq0fMe/1ev2IdqUFJkrTJXUjFX+iDAt+wSCQzQLwkjTnwRNm4ZLW8oJWkUCtVmPv3r0j7u/+/ftx4cIFxMXFjWm6f2Zmpp+yta2tjXl+OhwONDc3o7CwkH1+8+ZN3Lp1CyqVClu2bMGMGTOQm5vLlLkqlQpLly71O4fVaoVOpxtX1bPRaMT+/fvH7XxKkNvc0O9WqxXHjh3D0NAQZs6ciY0bNyr2EeM9v+L7Krk1V6zw6NEj9PX1wefzweFw4MGDB1i+fDnWrVuHY8eOwefzIS8vL6RvdklJCT755BMAwD/+8Q9GNo0qRV6lgq90Lta9X4Cub76B1WqFJElITk7G1q1bwz6M3W5Hd3c3li5dyt6HefPmYd68eaiursbTp09RVlYWs0KJ3d3dOH78ONxuNxYsWIDVq1fH5LijhdVqxY0bN+BwOOBwODBlyhSsWLECCQkJY6IAValU2L9/Py5fvoy4uLigauvbt2+jpqaGjU1GozEgqZyXl8fGFoPBMIK0djqd+PrrrzE0NAStVguLxYLXX399xAJeT09PjK5UGWaz2a+gstVqhcFgwNq1a7F69WrFcdzn8/mNcTRHBqC48Czfji9A6Ha7UVpailWrVqG+vh6zZ88ekYnAE7FEfgJgC+V0PHkxQ/kiNZ+ZJAfNEXgLsdTUVHzyyScYHBxkVlehQPMHOoZarfabX4WzPwBFWw+enCaCmi8gyS/+8xZu4dqRkBpckNYCAgKTHYK4Fhh30ORMDGICrxKUVNm8ooFU2TyJLbIKBEaDWFiG8AGNWq1mZDj97PF44HA4/DwgedWynNjmcfr0aVRXV0OlUmHjxo0oLy8HEJjo5Rd1+EKodF0UbGm1WtYm/joMBoOfHQdfxJIUYERU8wtM9E7yabG0H9l80AIUnYO3VhkPROrvrQT585GZmYm9e/dGfdxIUVhYCKPRCIfDAaPRiBkzZrDPPB4Pbt26xYjtc+fOYcaMGcyTvaOjAykpKX4K8dOnT6OxsREqlQqbN2+O2n/5VcKcOXNQV1eH7u5uZGRkoKKiApIk4YsvvsDg4CAAoLa2FnPnzo1pgcPRorCwEGVlZWhsbERqampMvHHlIPKD3mnKvMjKysJf//pXv2yMcHHgwAFcuXIFWq02pMdxMKSkpODjjz9W9PgOBYvFgs8++4xlIh44cADp6ensc6/Xi56eHqhUKpSWlsZkUeLnn3+G2WwGANy7dw8VFRVhFaUcK8gXAX0+H+bOnTum50xNTcWOHTtCbvfixQtG8mq1WmzcuBG5ubmK26alpWHfvn148uQJpk6dyiyUCHKCmmxQ8vPzkZiYCJvNBpVKFVSdHw5CqZ4XLFiAmpoaeL1e6HQ6lJWVKWYqBDoOvYek5g22Hwk8dDod7HY7s+lwOp1YtWoVli1bxhTQcmUzEeOkzKZMLvKUJkU2jePyYsvUBn5ODoBlapH9Gb231MdQbY9gpDWR3XQMmo+QxUmgfQKR09ROfp5ECnP5PZYLDXgRDZHV4cLr9cbcloa+EyrKLeIgAQGBWEAQ1wLjDkr/EwOZwKsOnoQD/FMRyTpB2IsIjAaxsAyhlFV67vR6PZxOJyN4ATCbDV61RH9TCn6cTicePXrECMiLFy8y4poIZJ6oDudZ59VaSkpsvu18UEvBLk9M8wtMZOVBxDif6k3kF/li0jWH608djRXIeNiITASysrKwf/9+PHv2DAUFBX7kjvw75Z9pnU43QklqtVrR2NjInrMLFy6MK3Hd39+PoaEh5OXlTUixSK1Wi3379vn9rbGxkZGNABRVkRMFlUqFNWvWYPbs2cjOzo6YQA4HSUlJ7P0uKCjAvHnz2Gd8dlQkSExMxJYtW2LWxtGM7Q0NDX7WE48ePcJrr70GYNhW4vLly8xb+cKFC9i0aVPM2zlWcxJJkpj6WKVS4eTJk+jo6EB6ejr27NnDSPiUlBTMnj0bjx8/hkajick1xgoLFy7E8+fPGQlXUlISdPvs7GxkZ2crfpaeng6j0QiXywWtVsssfXQ6Hd577z2YTCakpKQgMTExqjaH6heSkpLw4YcfwmKxIDk5OeAcI9BxeC9yfhu+SCKvtHY6nWxcpjkybxNCPtG//vormpubMWfOHKxZswZqtdrPjoTg8Xj8fKjl7ZXPQ2geQAvgtEBPfahOp/OLSwMtQMmVzbyqGXhZR0SSJJY1R/vxoi3qx6gdoRTP/II8qcjp+kJZpAQDHTOWGTqCtBYQEBgrCOJaYFwxFoOkgMBkAa/85P1vea9sUsDKJ9YCAjzkRPNonhFKgeUDLQCsD6agyuVysYJnlO4aKJCVE5BxcXGIi4uL6hmmIIyCzkAKLlKNU+pwXFwc258Wikj1xKu66W+UtkrvYrigYJtHNIRhLMlGSZLQ09ODuLi4qMmOWCArK0vRE1qtVmPLli347bffoNVq8dZbbwU9jnyOQPYJ44HHjx/jt99+AzCsoDx48GDARZza2lrEx8ejtLR0zPtx+eJKamrquKutPR4Pfv/9d3R1dWHZsmUoKysDMEywfvXVV0zBeeTIkZg+j5Ik4dSpU+y97evrm3RZeyaTCQ8ePEBubi7mzZsX9vOQmZnJFKh6vR7Z2dm4cuUKnjx5gszMTD8bAYvF4rdva2srBgYGMH369BEe4sEsAN5880189913cLlcWLJkSUy/q9bWVlgsFpSUlODHH39EV1cX1Go1li5dimfPnrFsnzt37jDvewB4/fXXsX79+km3uD916lQcOXIEfX19mDJlSlS2RVqtFkeOHEFzczOSkpKQn5/v9xn/ezDY7XZ888037D5v3brVb+EYGLmwxc8jSLXMK/tjAX6c5O036HdqDz/+0uLko0ePcPfuXbjdbgwMDCAjIyPgIoF8DJWLQ2jewxdGlNt3EOFN83X5ddDf5OpmPjON/4yU07xghchtqg8ChL9IJCeq+euMxjNbfp2xjEEEaS0gIDCWEMS1wLiCBnExmAn8GSD3pAP8J6N80Ue5V7aAAAU8pEoKFzxZzS+U8EWv3G4364v1ej28Xi8cDgd0Oh1TIwc69ltvvYVz587BaDRi7969UffnpIAKFUTx5DUpsXivawogHQ6HnyckX9wI8M+UUErp5YlqJdJ6skCSJBw/fhwdHR0AgI0bN45JIbNYobS0NGzVtF6vx7Zt2/D7778jISEBO3bsgMvlYhkIP/30E0wmEyoqKlBZWRnTdt68eZORKQMDA+jv7x9RvM3n8+Gzzz7D4OAgNBoNKioqsH79+pi2Qw7yBO/r62M+3JG8e3a7HZcvX4bP58OaNWtGtRhw6dIlPHr0CF6vF7/88guysrKQlpaGBw8ewGazARgmhBobG1FRURHx8YOBfw/H086HMDAwgKtXr8JgMOC1117zW1wxm804duwY7HY7amtrGSGshIaGBty/fx9Tp05FZWUlCgsLsX79etTW1jL7nDt37sDlcsFsNiMxMZH1i7wX9a1bt3DlyhV4vV4kJSXhgw8+YGrPU6dO4dmzZ9Dr9di3b98I/+6MjAzm893Z2Ynjx48jPT0dq1evjsqfvKqqCtevX4fH40FcXBzcbjerO/D48WO2Ha9A5TFZ5z4pKSlISUmJybEMBgPLUhotLl++jO7ubkiShMbGRrS0tKCoqMjP+oJAi9S8mpgWmEhMQRjLbCBJknDp0iU0NDSgpKQEGzZs8Ou/BgYG/Hy3BwYG/PantsnbGBcXF9A6Q4nkJeU12Q05HI4RmV6Ban7QArvb7WZze36eIb/XpCSnOX4oVTXvy80Xd6S5W6xjZ7InigXovvh8PkFaCwgIjAkEcS0wrqBVfgGBPyvkhavkk1VercH7ZItJ4J8TZBkSTAUNgD0/fMBDQZY8bZ+yAUhlTc+kWq1mpG+gc3g8HsycOTPqwJs/JgCWthuKuCCPbioIyRPT8oCdtx4hWxBKSyaLEN7nGnhpryJv32SExWJBZ2cnI1mvXr06qYnrSDFt2jTmEVtfX49ffvkFwDCJ1N3dDZ/Ph1u3bqGoqCimyuPMzExWBBBQVntbrVb2DPp8PtTX148grl0uF5qbm5GYmBi2kjIYNBoNDh48GLIvCIRvvvmGkV0dHR344IMPIj5Gb2+vn7WPxWJBWloacnJyWOq/Xq8fQfRHC5VKhcrKSly/fh1erxd5eXmwWq3jlmUgSRK++uorWCwWqNVq9PX1+Vm58PfF5XLh+fPnjLiuqanB3bt3kZeXh7lz5+Lnn3+Gw+FAe3s7dDodlixZwgoxAsDDhw8ZMe/1elFcXIzExERMmTIFOTk57JxXr15l57Rarejp6UFaWhq+/vprdHd3AxhWs164cAG7du0acU0ulws3b97EnTt34Ha78ezZMzidTmzevHnU9+nRo0eMqCYSi5CVlQWj0Yju7m4kJSUFJPb/jHA6nejr60N6ejri4uL8bCyUiGT53wP9DIApYIGX4xvvCy0/7ljh6dOnuHfvHisGmZ2d7Wf3M3/+fLYoptPpRswxaBGefJ9p3KMFM16NrLQATgpwfsFbkiRW04Ms1OheEYkur9HBL4oTSAgg75fJho0KYtN8i8DP/SMtqhgt+AWMWByL3nf5NQoICAjECoK4Fhg30GRpsioqBAQmAry9CDCyIrrT6WTvjTwdUuCPj0CWIbwFDa8wopRUClCJRJBDp9PB6XSyII7OBYAR2LydCKXAUtAYK8iVzfJFnUDFjAhut5sFeUqFjCg4oyCU1E+0DwW/kiShuroa7e3tmD9//gii0eVysZT3s2fPwuVyYcOGDX4FCGOJcJRv/IKESqVSVAS2trbi6tWrSEtLw/r1618Zmy6fz4fr16+jo6MDixYtwvnz59l35XK5/DxWibiIFTZv3gy9Xo/BwUGsXr1a0a85ISGBPatarXaER7fX68Vnn30Gs9kMjUaDVatWYdGiRbDZbDAajVGp3EariLVareyZGu09q6yshMlkgiRJSEpKwpQpUwAAs2fPxtDQEJqbmzF79mxMnTp1VMcPhqVLl2JwcBCPHj3C06dPYTKZ8OGHH46LGIIKwwHDz2Zvb6/f57m5udDr9fB4PNDr9aywYFdXF37//Xc4HA709PTAZrOx47jdbrx48WJEcbSysjLcvHmTefo3NDTAZrPBYDBg48aNmD179oj2SZKEtLQ0/Pbbb4y0JgS6P8eOHUNnZyd7JrxeL0wm04jtvF4vbDYbEhISQs7fCwoK0N/fP8KOid6BlJSUgP7BsYLP58Nvv/2G1tZWzJ07F8uWLRuzc8UCZrMZn3/+OVuQOnz4cMhCmatXr0ZHRweGhoZQWFg4ov/hwZOx8r+PJywWi9+zPzQ0xDywgeEFyQ8//BD9/f3MC5zmMrQg5vF4FOc0Wq024NhG8wjaj84pJ+6pbTT28nU/goFI20C+/pQp5na7/bLa5MrwSIsqRgte4BANaG4oSZIgrQUEBMYUgrgWGDdQSpIY1AQEAoO3FyHIfbJJaSqKPv45wFuGkBKLV+cEUhjxamSlz8h2g8hfCmQMBgMLEKloEQVZ0aSRK4H33aZnnFea8SonGj9ISU4EJr0HgcCr08iShC/opNFocPfuXVy4cIHZHBw6dIil19vtdvzrX/9iXuB0rJ9//hmffvppzO8JtTkU9Ho9du7ciYsXLyIxMXGEUtJms+HkyZOw2+1ob2+Hx+PBtm3bYtZGl8sFm82GlJSUmPc9VVVVqKqqYuQe+ZkDYM+kz+dDSkoKiouLY3puvV4fUnWq0Whw+PBh3Lt3D4mJiazIGqG/vx92ux0ejwcejwcPHjxAQ0MDenp6oFarsW/fPmRmZsa03YEgSRIaGhqQnp7O3reCgoJRHaugoADvv/8+LBYLsrKy/Hxbly1bNuYk4fPnzxkh6vF4YLFYYu7TqwSDwYDMzEx0dXXB5/MhLy+PkWnAsF3B0aNH8ezZM2RkZLDCpBaLhd1z6rfj4+PZAlpLSwv+x//4H8jPz8euXbugUqlgNBrxwQcfYHBwED09PThz5gyAl57qRFwXFhbi+fPnkCQJRUVFiIuLY4s7hPT09IAWNv39/X79jNFo9FNBS5KEO3fu4PLly1Cr1UhOTsahQ4f8CMKWlha0trZixowZyMnJwYYNG9DS0uKXsQAMPx9NTU1YsGCBn8/ymTNn0NnZifnz58fM8ufOnTt49OgRPB4Pbty4gby8PPa8ezwe9PX1ISUlJSqv6liipqYGVquV/V5bWxvyPUpISMD7778f87YQkUmLxLEkt2fNmoXbt2/D7XZDq9Vi7ty5foQ6eVBT9oxarfYbp2khh8Zbnmimn0k1LV/sJsjnyyQQoWs2Go2MiA6X0CW1tdL2dA95CxeyKYmmqGIsEAubEEFaCwgIjCcEcS0wLqAUrbGoNC8g8EdHIFU2qW1JOSL3yRaTyFcffNBD/7RabVjqHN57MVTBQ3lRRrIOIaVhtIFJIOU0BZUUoJJtiVI6rlLb7XY7XC6XH7FJ51Py8tZoNHA6nX4Bs9frxfPnz1kb3G43S7sHgKamJlitVsUCjeS5HC145RkPm80Gq9WKjIwMxSCzoKAAhw8fHvF3lUqFoaEh9rvP50NPT0/U7SR0d3fjm2++gSRJSElJwcGDB2PmlQkAL168YASl1+vFwoULcefOHVgsFuj1emzcuBE5OTlITEycsH4uISHBz3OYR3JyMns/tVotUlNT0dbWxlR/ly5dwu7du0fs5/P5cOrUKbS2tiIjIwN79uyJWlH8008/4enTp/D5fEx5H0yhGQoJCQnjWiyTR1lZGSvgptfrkZycPG7n3rdvH86dO4fHjx+jubkZn332Gf7yl7+w5z4hIQFz5szx26egoABJSUmw2WxQq9VYuXIlUlNT0dnZibt376KxsREA0NbWhtbWVhQWFgIY7g/S09Oh0+nY8fV6PbPOAYBdu3ahqakJKpWK/X39+vXo7u6G1+tFfn4+3n777YDvR05ODtra2iBJEjIzM7Ft2zY/i5eamhpcvHiR9Xt9fX2or69navLm5mb8+OOPcDqduHv3Lg4cOIDMzExFCwqPx4PLly/j2bNnrE3Xr19HQ0MDvF4vbt26hYKCgphY6gwMDDAi0+PxMFLY4XCwBUi1Wo0DBw6M8P6OBnKf5HCRnp7uZ7MT64UYvjAg9T+BMnpojhENKKNJpVKxhWhgeHHnww8/hNlsRlJSEhvnad5KNnl0fqU6E7xogyfYAbBFQnlWotfrZYWneQEIkeD8vSFBQLhjCtmO8bEtPzfnr4HORZlwEynkioVNiCCtBQQExhuCuBYYF/BVnQUEBKKDkiqbJzZJlc2T2CLb4dWAfFGCCiUSOUqq63C/y1CWE7xnNAA/NR19JlfxhWp7IGsPuXqavCUpoONtS8K9NiquRKpxOWFNASV5d1MhJgCsOBUAzJs3j6k5jUYjiouLYTQa4fF4kJqayqxVeGJ/3rx5MVPtKZHW7e3tOHHiBCRJYmrHcEhyUuVnZGQgNTWVff+BFI1yBVs4uHr1KrOb8Pl8aG1tjanyefHixWhtbWWembdv32aLBxaLBT///DM++eSTSdun6fV6vPvuu6iqqkJqaipKSkrwzTffABh+bgMRvw0NDWhqamJp5VVVVVi5cmVUbWlpaWHPOVkLTNb7Fgzt7e1obGxEcnIyZs6ciYULF45JtkMgqNVqtLW1sXtpt9sxMDAQ1M9br9fjvffeQ29vL5KTk9kCW3FxMZ48eeK3sKh0LTTWUx/J+/6q1eoRVkUZGRn49NNPw+pLd+/ejSdPngAAysvLRyw8tbS0jFBNx8fHs98bGxvZuOF0OtHR0YHMzExUVFSgqqpqhF2I0+lEe3s7zGYzUlJS/NToPp8vZpY/S5YsQUNDA1PQTp8+nbXXYrGwa7pz5w42btwY9fkGBwfx1VdfweVyoaioCDt27Ijo/SorK0N/fz+ePn2K0tJS1t5YgQhdHqNVUlO2E2VfEfFJmUjyhWj5PhqNBmlpaaygMj9ey9tF8wR6P3hLG368pOeczklzJiKnDQYDqx8DDI93SjYger0eDocjovkVLfaTSlteVFHJvozmJVQjIdb2a+GAXwAYDQRpLSAgMBEQxLXAuGC0xYQEBATCg3xhiPfJ9ng8fkUfhb3I5ILcrxpAwAI9ZHMRLmFKKqNgalhS8wfywZQkiSnCeOW/nKCmAJNXRAUqZkT7A2BWJKMJokjJRIs15BfLB6YUwMoJeLfbzZTYs2fPRlpaGjo7O1FYWMiKYgJAfn4+1q9fj0ePHqGgoADLly9nhOpY4tq1a7Db7QDACuqRIjMYiKQgVaHJZEJCQgIji3788UfYbDasX78e06dPj4iwJpCimAJgntCKFN3d3fj+++/hdruxevVqzJ8/H1OnTsXRo0fR398Pi8WCX3/9dYQSkLdqmIzIyMjAli1b2O8rVqzAnTt3kJGRgXXr1inuwysIA3nTRorMzEzY7XZIkoT4+Piw3jOfz4f29nbEx8fHvNBiMHg8Hty9excejweLFy9m75jP58P333/PyE2NRhM1oT8a5OfnY3BwkBWS5b2IA9lQaLVav6KKhLVr16K7uxtmsxmzZ89mfuE87t+/z67Z6/WitrYWixYtYp78bW1tmDdvnp/1C/VphK6uLjx79gwFBQXMhoG84ZUIa8K8efPQ2Njo12/evXsXxcXFUKvVKC0tRW1tLRwOB4xGI1NLV1ZWoqioCNXV1Xjw4MGI49Ji4ooVK/D8+XP4fD4kJiaipKREsR2h0NjYiAsXLiA+Ph47duxAWloaPvroI1gsFqSmprLrS05OZguQOp0uZsrmCxcuwGw2Axi2suno6IhIOU6FR2NllRLuOUdDXvN1inw+HxufePDzCY/Ho6jgJtucYG0gUpsvrkzjOhHFNLelGhdEHPMkNi04E8EaaM5Lc4lwsqh4WzMAbN4RblFFvmgjjWPjORePJlNMkNYCAgITBcEkCow5iDyLZRqxgIBAcPD2IqRElXtlUxDCW4yISej4gFdVE2mr0WhCBldEqIa7GBhOgErPBdlo8GQRBYUUZJJ6iyenyVYk0oUQPo2WFNKRgld5eb1e6PX6EfeFrE7kMBgMfiR8amoqUlNTFc+zYMECLFy4MGSwHUukp6ejtbWVpS+HKtilBI1G40eI/fjjj2hvbwcAnDlzBp988smoyN81a9bAarWiq6sLixYtQnZ2dsTH4Ns0MDAAALh48SLKy8uZDURycjJevHjBVOTAMBFYXFyMxMTEUZ9zIrBkyRI/D2EllJWV4cGDB+jp6UFiYiKWLl0a9Xl37dqF27dvw+PxhDw/MPxOffnll+jt7YVKpcKaNWuwYMGCsM/n9Xpx+fJl9PT0oLKyMqJCjf/85z/R19cHYNjr98MPPwSAEQRYrAtyhoLX68Xp06fR3t6O3NxcpKWlYdmyZezdcTqd+Oyzz5jt0v79+4MSo5Ik4dSpUxgcHIRGo0FFRYXidikpKSwzRKfTMWuUhw8f+nnyHzx4UHGBobu7G19//TUrtrtlyxZMmzYNX3zxBSwWCzQaDQ4ePKhY2LWgoAAHDx7E6dOnWRHJtrY2NDY2orS0FEVFRdi9ezfa2towbdo0v/Pn5eVBo9Ggrq6OZbukpKRg48aNbHxJS0vDxx9/DJvNhqSkpFHNPZxOJ86cOQO73Y6+vj6cOnUK+/fvh16vH3E/CgoKsHLlStTU1KCwsDCiZzoY5OPNZI51qLBoQkKC32JjuER2sMU0OobVasWNGzegVquxatUq6PX6oMUhae5AC+R8IUX6nN59stjgM7fo+EoWNXzbwpmf6HQ6xYVcubiAr5kxWtKZ7M6odgZ5Xo816DsczcK7IK0FBAQmEoK4Fhhz0MquGOAEBCYOvBKWAi3eP5kv+ij3yhaIDfjAh9JJw/WrJpCajtTPofpV8plUAm9Lwi9syFVURKpTP05BIm9hMhrwRBSlzIYLXnFF7eDbRYEwX0yRQMEm8DKNWkkVxqvVY6F8DXT8QFi7di3cbje6urqwbNmymPixygm/0aqWdTod3nrrrajbA4y0SZF/X7m5udiwYQMePHiAvLw8LFq0aFy9jccTGo0G+/fvD+hLPxrodDqsWLEi7O3NZjP6+/sZeXT79u2ISL7z58/j4cOH8Hq9ePHiBf7yl7+EtcgwNDTESGtguHgg9ZN6vR5lZWWor68HAKxatSrs9sQCVVVVzI/Z6XRixYoVfsR0c3MzzGYze5arqqqCFvhsa2tDZ2cnu8cXL17Erl27/LaRJAlz585FT08PmpqaMHPmTGYj0draylSlHo8HPT09isR1S0sLU0y7XC788MMPmDp1Kvr6+hhBd/PmTWzatEmxnS6XC93d3X5t4p/L/Pz8gOri7OxsvPPOO2hsbERRUZHiAoZWq43qXeYtKQD4+forIZzFo0ixfv169Pb2wmKxYM6cOaww52SDz+fDF198wRYJ3377bRQWFo7I1OPtvSIB9dtff/01e2ZaWlpYDQaaf1JWCc01aT5E8wt63/lFc6PRyIhpKsbIk9nyAsz0HnZ2dqKjowNFRUXIyMhgFiWB5lt84VA6jtz+g7cmiVYpTfM5KoZNXtxjCV4wEAmItAYgSGsBAYEJgSCuBcYUpNCbzOm8AgJ/Vsh9NXl7EfIE5JW1RAiKCWt4UFLpEMkajec4KenDsQwhApfOL7f3oM95cprIX1IwyxVktC0VMxpt8EZKc95mJBR4wpr3qqRrVKvVTJXF+6tSwEzFzugY8iwDCprJCzsY8S9HpOnXobbVarV+VhOxaMP69etx5swZAMC0adMmhWr5zTffxMmTJ+Hz+bB06VLFZ3rOnDkjCt9FAqvVCp1ON+b2LrECPZNPnz7FixcvMHv27JgXbQuEuLg4dn61Wo3MzMyI9jeZTOydkSQJZrM5rOeM3kciVmgBlbB582ZUVlZCq9WOe3HIoaEhdk1er3fE4h4VmyOhRqhFJr7PJK9+gsPhwFdffQWr1YqsrCzs3bsX69ev99t//vz5aG5uhtvthsFgCKhqLygoYCQgob29nY37Go0m6HdDSmv+OiPxYM7NzR1TIjcxMRHFxcV49uwZAAS04BlLxMfH4+jRo+N2vtHafLx48QL9/f1sIePKlSvYv3+/3/F4Alh+Ttou1LktFgvbZnBwkM0h6HmXJAl2u529L3xxRRqjeTsSGtNpbkLKZFL+yn3YiQx+/vw5vv32W2Zlc/DgQWRlZcHhcPjZehAoXqWfye9aPl+jBfFYeVPzxSwpM2IsrTVHYxNC10z3VsQAAgICEwFBXAuMKUa7sisgIDD+4O1FAH/1DXkFEskp98oWGIbcAoRPZ43lvZJbhoQqjEjqJfrHB112u91PQUN+0PQdK4E8Gl0uFxwOx6iUQkTkU3Aa7N6QV7ucsCbQIgzZgsiDWVJ00THIB5v3w6Rr4veNNRGt1WpRX1+P3t5ezJw5Mypv6NG0Yfr06fj444/hdrsnBWkNAFOnTsXf//53AFB8BsxmM9Rq9ajbe/bsWdTV1QEANm3ahJkzZ46+seOIBw8eMDuIBw8e4L333huX70yv12Pv3r24cuUKkpKSFMnAnp4eOJ1OTJkyZcR3tnTpUvzyyy+QJAkJCQlh28ikpKRg/vz5qKmpgUqlwp49exS3CQSz2YwHDx4gNTUVc+fOjem4tGzZMjx9+pS9N/KiiPn5+Vi9ejUePnyIgoKCkKrenJwcLFmyBPfv30daWpofMV1VVYWenh7ma9/Q0OBXlBEACgsL8c477+D333+HzWZDU1MT5s2bN+I82dnZ2LJlC3744Qf2N5VKhWnTpqGzsxN5eXlYtmxZwHaWlJQgPj6eWRlEWnhwrKFSqbB9+3ZYLBbo9fpXZmEqGoyGtFapVEhLS/Mb49PT0/0WZvnxXm6JFQ5hTcjLy0NraytUKhUKCwtHkKQ0VkuSxJTUNG4TQcrPMakWBW1jt9sVF5tpnKcMwqdPnzKS3uFw4NmzZywrgYhpuQqc5hRkGaJETtO2sbaEIcU5EfJjkak8GpsQQVoLCAhMFqik8TJrFPhTgiYgkaSACwgITF7wKmIKEv7sRR8D+VXLFYOxOI98MYFXw9H3IP8/GLFMRZL4QMbn87GAT04QK4EKJOl0urCDLTqH0WhkQbJSZo6csA4USNI2wUCKcr5oI5HYpPQiRXcohLL5kIOCvosXL+LmzZtwu91ISkrCBx98MOrxkb7fsbAxmSy4cOECqqurAQwXfYvU89nhcOAf//gHe56Tk5Px17/+Neg+Xq8XnZ2dSEpKCkqUjjW+++47NDU1AQAjDadNmzZh7SHcunULN2/ehMfjQVJSEo4cOTKCCOnv74fZbEZ+fn7E6j56JyMZQ1wuF/7n//yfTFm/YMGCqNS3tbW1aGxsRFlZGcrKygC8VFonJCSM6fh29epV3Lhxg/VJW7duZW3gcebMGdTU1DAC8MCBAwHV8Q8fPsS5c+egUqmQkZGBgwcPhv29mM1mtLW1ITc3d9xU/38WjFY9PVrU19fj+vXryMjIwKZNm2KSDcuT3cDwePzs2TOo1WoUFxf7ZXAQaPyPi4vzK/qs5FUtt+qieRUVXeZrcvAFrltbW3H8+HE4nU4YjUbs27dPsUgqgeYWHo8HBoOBZW7x4zMR3jTXGQuQSIQn5GMFyqQ0Go1hZ7gJ0lpAQGCyQCiuBcYMROYImxABgT8OAqmyKWCgoEPuk/1HmvDKr5l8kKMp1CM/vpJymuw0ePsWCvCCeQ4GC47lRR7Jx5CCOAr6gl0TkcEul4uR4KHuQajCjKSaorRWefBL95/Si3lfaznkhDr51FLbtVotHA7HCL9UOejZD+SJrXR+Or7b7YbT6URtbS07j9vtxsDAALKysoKeNxCCFcr6I0CSJFRXVzPS+datW2ET1zabDd3d3UxVSIiLiwu6n9frxb///W+YzWaoVCps2bJlhLp2vDBz5ky0t7eztPRgpMt44vbt2+w76e/vx7/+9S989NFHfvc5LS1t1J7soyGEBgcH2bvgdrvR3Nw8auK6qakJv/76K5xOJ548eYJ58+Zh06ZNfrYaAwMDuHTpEuLi4vDaa6/FVOm7dOlStLS0oK+vDwUFBYrPn81mQ21tLetv3G43hoaGAhLX8+fPx5w5c0ZFvCcnJ2P27Nmju5gxgCRJ6O7uRlxc3KgK1k4mjLd2jF+IiQZ8sUP5GKRWqzFz5kw2tlNhUdqPtiE1NW83RrYcHo+HLSDzxx8YGMDjx4+RmZnJMmecTucID2qv14uCggK8++67qK+vx4wZM0L2n3Q+aiNZhsnnDjQPGCvw2Wzkex2r+bPX6w17UVCQ1gICApMNgrgWGDOMRjUjICAw9hgaGkJnZydycnKiDvx4IpVAamC+6CNPYr+K/YLcrxqAn09ipNcTytqDV0zz1h7y8xDpSuStEiiFVokclqe8kvqZgjVS/4QKnkj55Ha7mU9jsOCOD0b5wozhENakrqZAlwh2peum66OfiVyn55V8JUOB9qcMAznhEIg0lyvBp02bhsHBQUbWT6Sid7KDvl8C7wMcDIODg/j888/Zosz69etx48YNGI1G7NixI+B+jx8/xp07d9Db28uezxs3bkwYcT137lwkJSWhq6sLZWVlUfs6S5KEwcFBGI3GsO+lEuSZDXa7PSy//bFEamoqs0/S6XQjrDUiQUdHB+tPJElCTU0NioqK2DGHhobwP//n/2R99fPnz/HRRx8BGCbWhoaGkJeXN+psG6/XizfeeAPp6ekBj9HV1eWXbaHRaAIWSSSE8rMeLV68eIFff/0Ver0eb7755pgWTpUkCd9++y1MJhMkScLGjRsxa9asMTvfRIAfSyLxlh5L2O12eL1ev+cnWMYRn7VEGVHBwI/B/AI9X4fDbrfjiy++wNDQEPR6PQYHB7Fs2TJWt4LmKzR/UKlUyMnJQW5uLrt3VAiRbEHo/ZH7fJMdye3bt3Hjxg3odDq8++67SEtLGxcSl8himk/FomhjJDYhgrQWEBCYjBDEtcCYwev1CosQAYFJhsHBQfznf/4nI87+8pe/jFrxGQhEthJ4awuylXgV7EUCWYAQiRuqvXJrD/5/Csjo2inw4gnVcECBRbD0T16ZzUO+uEg2GXygotPp4HK54HK5QgYw1BZKRyViX2kfWszg7xEVe9TpdH7novtGtib8d0B2H0ptIQKeL+xECmi+WGWw6+GDWfLIJlAQzKvh6W+BlNCvvfYaMjIyMDAwgIqKCpGRFAJ79uzBL7/8Ao1GgzfffDOsfZ48eYKhoSEAw2o8s9mMDz/8MOg+nZ2dOHfunN8CiEajiXnfGCmKiopQVFQU9XEkScKJEyfQ0dEBANi6deuobUfS0tLw4sUL9ntcXNyYPMc8eRcKOp0OR44cQV1dHVJSUlBSUhLRuZxOJ7777jv09/djypQpfvYEXq8XPT09bNu2tja/fsNsNgMYXvj47bffAADp6ek4ePBgxGNae3s7Tpw4AWDYz/vgwYOKC4DZ2dmM2NLpdFi7du2YFnQLBJ/Ph++++w42mw0AcOLECbz33nsh9yP/bqPRyHyH5aBinfxcwmw2w2QyseKY165d+8MR15I0XND0+fPnyM7OnvBMi4cPH+LixYtQqVSYO3cu1q1bF7CAo06nY1lo9DzSgn+ghXNgpPJc7q8NwG9B0eVy4enTp1i6dGnQTCn5+0dzTwCKpDUPu92O69evw+FwwG6348SJE/jwww/HVG3Ng59PEHkdzbnD7U95n/FYFaAUEBAQiAUEcS0wJpAXuhAQEJgcqKurg9VqZb/fuXPHrzAUTVLD/V/+sxJ4exHyEeYVzGQvwhPZE2UvwquqiVwlb+VA/Vm41h4U2PFptrEA3dtAqkdSIsnb7PF4/JSX5BnJB0cUPDmdTlasKJz2GI1GOJ1OVtRLfu/kRDDZIcgJa3o+ALDvgQh2JXKYiGkiINVqNUs7JlI9XHsNeibp3lFbieyXB8wGgyEgac2rx+bOnRvW+aOBwWBgCvNXGdnZ2Thy5EhE+2RmZrLFHL1eHxb53N/f77cokZCQgNLS0lHbTUQLt9uNR48eQaPRYM6cOVGTJQMDA+jo6GCE38WLF0dNXG/atAnffvst3G43MjIy8M4778S8r25ubsbp06chSRJee+01zJ8/P+Q+8fHxWLhw4ajOd+3aNXR0dECSJLS2tmLt2rW4du0a66f4wocZGRl+/QJlTdy8edPPQqW/vx8ajQYOhwPZ2dlh3aNr166x78jn86GzsxNTp05VvNZDhw7hyZMnyMrKmjDvcxonCURgBwOppmnxY+XKlVi8eLHfNr///jtqamqgVquxc+dOdg/48UqlUiE1NTUGVzF6jIVHtcViwWeffcaKJm/fvj3shRjegiNWuHr1Knuuq6ursXr1apbpxMd5/II+2Y0BI4lQeeYa8LKWBr9ALb+vOTk5jAzX6/V+RXb5tiiRraQe5m3deCW4Vqtl4opgmIiFZj6rTK/Xj3qBKpwsaEFaCwgITGYI4lpgTCBsQgQEJidycnJgNBqZncPUqVP9/KoJ9DNN5OXKmECKm0j/5wMgInvJXoQIb95mJNaQW4CQtQR5LcpVv9Fae4wVKE1eSdlEXpM8SEFO95SCOCUPYJVKBYPBAIfDMcK+IRBoH1IL8QEXTwRTsMlbkfDFFnnfcN6bWun5489BacAul4sprEORuPIiUEqEP7WDwBNYcssRuWJ7PKFknfJnwfTp07F27VrU1dWhrKwsLKuP4uJixMfHw+VyQa1WY+/evcjOzh6H1irj66+/hslkglqtxtOnT7F79+6w9jOZTPD5fMjNzfXre2ghgxCNnUNOTg7+9re/wePxjBmR88svvzAS9OLFi5g3b96Y9qU8USZJElJSUvDJJ5+gp6cHGRkZfoRpZmYmdu/ejWvXriEjIwMbN24EMExo9/X1sf6gpaUFly9fBgDk5uZi7969Ia8hNTWV9SkqlSqoPUxKSgqWL18e1XVHC51Oh7KyMtTV1bEx5vnz50GzBOx2O0wmE+svq6qqGHFN/tWPHj1ifdjZs2fxwQcfABh+jnfu3ImLFy8iKSkJmzdvHsvLCwjewiLWaGtrg9PphCQNFwKsra2NOIMgljAajUzswIsLaGHf5/P5ZXvxmVQ0B9LpdCyjishjPvOJrpdAcz8aaw0GA8uqqK2tRWZmJrsnlHkQqHgzAL85LpHV/Psuz9pSqVSIi4vDihUrmFXIjh07JkyMxYsByFotkv6QRADB+mt63oJlygkICAhMJARxLRBzKCn5BAQEJgeKioqwdetW3L9/H2VlZVGrP5WIuUAkdygyXOlnpYACgJ+lRqTqcLkFCAVJ/GSd9+eWB2HyopOTweYkmGUIXTNdA+BflJGUucGCFTl5HY4ClAJWvnCjVqtlBDIFrtQOIqspzZjINvoeKNjliyjRNfEekLyaixTX4SAQGcGT0/xnlBYd7HiTGfx1/dGwYMECLFiwIOzt4+Pj8f7778NkMiE9PX1MvIDDhc/nw8DAAFso4205goFUqgAwY8YMZq3i9XoRFxeHkpISPHnyBFqtFmvWrImqjWq1ekzVh+Pdn65YsQLPnz+HzWZDfHw8fv31V6SmpuLtt99WnMuWlJSMIBO3bNkCg8GAgYEBrFmzBj/99BMjZ00mEywWS8gFg3Xr1sHlcqG7uxvLli0bdYHL8cTmzZthMplgMplgtVrx448/4q9//WvA7By+r1apVEhPTwcwnGXwxRdfwGKx+C28yZ+zgoICHD58eIyuJjiGhobw1VdfwWazYcqUKdi1a1fMycycnBzo9XqmuI7EKigc1XCk2LVrF3766Se4XC5s2rSJ1bKg8UOeUUXzIZo78eMxT3bL53q8VzXNF2g8djqd0Gg0SE1NxfLlyxmJy89d+OdNyaKNvy80/+F9rgn8Avjq1atRWVnJampMpCiLijY6nc6wrNt40L0OljUoSGsBAYHJDkFcC8QcciWfgIDA5MK8efNQXl4eE2JNiRyOFsGU36TQ4f0J5f9L0nBBrYaGBpSXl6OsrCzk+ZQIcvpHgYqcoB6La48GgSxDqN1EzFIQR+QzX5AxGIisouOH28dTMMQHo8Aw8UtEtdvt9ltAIHU1WbVQgCknrXm1Nl+YiRAoiOcJalqAkAew9L0HSrsOlo7NK9knKyZz2yYCBoMBhYWFE90MqNVqJCcns/T2cJXftbW1jCh9+vQpJEnC1atXce/ePQAv33O3241Lly5h7969Y3YNPDweD86fP4+enh4sX748LFuLbdu24dSpU/D5fHj99dfHvI9NSEjAhx9+iN7eXnzxxRdwOBwYGhrCuXPnghb05KHX6/0UwGlpaRgcHGT9TDhiDp1Oh23bto3uImIEm82G77//HmazGZWVlWEtAMmzTXirCDk0Gg3eeecdXLhwAQkJCdiwYQOA4We2r6/Pz74hNTUV27dvj+6CYohr166hr68PwLAyurm5GdOnT4/pOdLT07F79248fvwYU6dODbvQqMfjwbFjx9Db24v09HS88847Qa29aNwLVeshNTUVhw4dYuM1fbc0ZvNkLs3NiGwGRs6P+HPRwjb1dXwxY1J3U2YHWaDQ2Ert5heneZKaFxqQNQips2nORwvkRKYTKUyqZjoXLZrT9ZMl2XjHubRI73K5IiraSJl4Sv2oIK0FBAReFQjiWiDm4JV8AgICkxNK9hGTBUrkME3O+b6Ft/ngg5Wmpib8+uuvcDqdePbsGeLj4xV9QuVqbf68pNjhSfJAyvBQbQ/2c6B9g20XDBT8keUB31YK+mhxkaw6KPAMV5msUqngcDj8bF4CQe73zbeHrACoCBe1EXgZtBKhLLf54I9HyqtIFmL4bQMF7eHeDyUIUlggGuzfvx8PHjyAVqsNy98ZGCZf6Z0iZd69e/cYqcj3J9E825Hi4sWLqK6uhtfrRW9vL44ePRpSeTx16lR8+umn49TCl+DHREmSmN/0aLB9+3b8+uuvsFgsWLt27StTiPXs2bNob28HAFy+fBklJSXMxzsQXnvtNfz6669QqVQoKSkJanECAFlZWXjnnXf8/hYXF+dHFFZWVmLFihVRXEnswRO0RIqOBaZMmYIpU6ZEtE91dTU6Ozvh9XrR2dmJx48fo6KiIuD2kY5R/LtBi8hOpxOJiYmsj1HKVqK/0b3zeDyMfKXfAbAxnghUfvGXV1ADYJYZ/HXwdiE8Kc8LE6hoNM2B5O8kvzjvcDgYWR8XF8cW1mnOSWS73FZurEHZdR6Ph/leh8qAC2TrRKQ1EfGCtBYQEJjMEOyiQEwhV/IJCAhMTvDpmq/yZFWuiPb5fMwjEhgOcEwmE6ZOnRpQbcL/r3T8YD+HIm35n2NlHRHs+6L7QKmt/LZ8oKfRaBgpzyuywz0/Ecp8EU3+nvCEtdwrXK5spu9N/l0G2h54qS7nCyyNBkQ+yFOXI9k3kF2Iw+HA8ePHMTAwgPLycqxfv/6VftcExg96vR5Lly6NaJ+9e/fi999/h8/nw/r160eQapSFodVqmS/zeKC7u9vPKsBsNkflsT2WyMnJQX5+Pjo6OqBWq/0KFxNsNhs6OzuRlZUV9DqMRmPYau3JBDlZz9t2kJKWr0kAAOXl5SgsLITb7R71d1tUVIQFCxagtrYWU6ZMifj5Hw+sWrUKnZ2dGBgYwLRp01BcXBzWfiaTCR0dHSgqKmLWKGMJnlyncY3sNIh45WtMRFqLob29HcePH2d+8AcPHmRjsrz2B3liA/AjfYGXGbo0/pJNh7ymSKD6FDqdjokZeIW3vAAktY23VKMikLz/NY3pBoOBLZjLx2zKKCars4lQYZMNm0oVumgj3UN5u0hhTmS/gICAwGSHSprsJowCrxRocvGqKEsEBP7MIA/FyWzrwyuf5cobue80/dzT04PPPvsMbrcber0eH3744SvhFcojkD94sM/4/ylwDIeQ5pVjStYr/Hb8MUnBTf09nZdSccmzkhRPPMHMtytQUSUKCIGXhRMpVZb3wQwHPBEuD67DWYQI99g8zp49i4cPH0KSJBgMBuzZswf5+fl+29C94wNzesZDeWgLCIRCTU0NLl26BL1ej7fffhtpaWkjFrTCgcfjwalTp/DixQvMmTMnIo/sZ8+e4dSpU5AkCYmJiThy5Mi4ZuVFaqEAgKkt5SIMi8XCxhaNRoN9+/aNaxHPtrY2/PTTT5AkCZs2bUJhYSG6urqQnJwcM192k8mEb7/9FpIkoaCgAG+99RZbDP3qq68wMDAAnU6HgwcPIikpKSbnHAt0d3ejt7cXhYWFiI+Pn7B2tLW14cSJE3A4HIiLi8OhQ4fGZD7i8Xjw3XffoaenB5mZmdizZw97z4isJbsLUgrzhLJSBl6g+cOxY8fw7NkzAMMLYrt372biADouLXDwWXG8LRcRvVQ3gyfReRKZttfr9UzlTIptfo7BZ2bRIjipiOkYbrcbRqPRL5uC1NQ0b6Ex2efzweFwsDYFUzbTAjrNUcZThc0T0Eqqafl1yfcRpLWAgMCrAqG4FogZaOLAe6sKCAhMXvCV4ScSvI+1vKCO3IeY1C5EdCoFBrm5ufj444/R2dmJqVOnTurgOhCUiONIQCmgFGwRcczfQ/KoJIUT7cf/z6cTByLIA/mDu91uP0JW7ist96ckZRaR4rxaipRZROaGa3PDpwsDwwE8HV9+XcGOwW/HB9fB9ievTwJ/TrJbISJo4cKFWL58Obq6uvDdd9/B4/Fgzpw5zP9V4I8BSZIwNDQEo9E4LuTtnDlzMGfOnKiPc+PGDTQ1NcHr9eLevXsoLi5GQUFBWPsWFxfjvffeg9lsRk5OzrhbycktFB4+fIjFixcH3SeQH3VzczNsNht7r6urq/H6669H1T6v14srV66gq6sLy5cvD+iz7vF48M0337B+8aeffkJiYiKsVitUKhV27twZ9ncSDDk5Ofj0008ZyUdoampCT08P3G437HY7rl+/jk2bNkV9vrFAU1MTfvrpJ7jdbsTFxeEvf/kL4uLiFLeVJAnXr1/H8+fPMXfuXMybNy+mbamrq2NWGg6HA62trWNCXGu1Wrz77ruKn9E4zI/VvC90INBncgI7NTWVjeEqlYpZw1AcSM8oFVXkSXI6L7+YzWd9UbFHftz1eDxs/CSxBW8Vx5PxHo/HT4lNkGcZkk83bS+fC/NFH8mWI9AiOy3g0/WPpwqbFOLkzS0v2ii3CRGktYCAwKsKQVwLxAx8apiAgMDkB6VUjheUSOnRktOhkJqaitTU1BhfwasDPiXWaDT6BXp6vZ6RqvKU70hABDAFn/R98YFrMDUztYfUfIEsP3iPcT5tPVzwQXeglONg4JXhVEwyGOj5XbVqFVpbW+FyuZCXl+dHSEmShN9++w1tbW2QJAm3bt3CtGnTcPbsWVitVgDDatlFixbF9DmOxBImHJDKr7u7G2lpadi3b58IhgPA5/Ph2LFj6O7uhkqlwt69e5GTkzPRzQoLQ0NDfnYfkXo/JyUlTYoFxGh9iTMzM5nyU6/XR+xDrISLFy/i/v378Hq9MJlMeO+99xTv1YMHD/wyMNxuNywWC+sTb9y4ERPiGnhprcCDz85Sq9UBieDJgIcPHzKy2Ol0or29HTNmzFDc9v79+7h16xbcbjd6enqQkZGBKVOm+BX4iwYlJSWoqalhCuS8vLyojhcOSHlLdiAAmDKZvttgYy5tr1TfQ61W44033oDL5UJXVxdWrlyJzMxMvzkdD5onKNnS8cWVSQUd6J7zC8VU14JqKtEch66dVNz8M8zbgvHFFil7grfTkBesJgU1eV8HUl8Tea7Vatmi/nh4YfPkNW/lI7cJEaS1gIDAqwxBXAvEDKIoo4DAqwVe7RorBLL04Be2KDDhlTjC+zf2IAWz2+2GTqfzC2DIRmU0951URaSAogCQ0oEpMFZKm6XAVK/Xw263w2g0sqCVt/5QUmePhnCNJUkbrm0HeXMmJyfj448/Dlj3wW63+7WPAkoesa4XEWt3uMePH6O9vZ35lt6/f39SetOON6xWK7xer19Ru87OTnR1dTFC7dKlSyMK1E1WVFZWorm5GR6PB8nJyZg2bVrEx2hpacHPP/8MtVqNHTt2jBtpP2/ePNTX1zMLhWgUtVOmTMGWLVtQU1OD4uJilJeXR90+k8nkRxAODg4qEtfUn9I7XFJSgra2NgDDfXBmZmbUbQmGwsJCzJ8/H7W1tcjJyUFlZeWYni8aFBYW4vnz50z1Kr83N27cwMOHD5Gbmwu9Xs/GMpfLhf7+frS2tuLWrVtQq9XYtm1b2F7WSpg2bRq2b9+O58+fY+bMmcjKygp7X1IGU9uAl+NhMNC8jrKp+MVk3haEniciusn+i5TMfDuAlz75Pp8PO3bs8GsHvzjOg+aCvO0HKZQdDgcbH3nFNG/XQcQvPfdENPt8PkWrOyJxnU6nH6HN3zs6n06ng8vlgsvlYsQ6Ee1yZTVZlJCamopIBppDjbcKm+ZVbrcbDoeD+XTTtQrSWkBA4FWHYBkFYgIamIW3tYDAqwO+KE8kUCKl5Z7BFKTQpFnuoSwwPqDgkAhQrVbLgtNISVGesKagjw9w+eKPFBzJgzMKknm/S7k1CG1HGE1WAK8WixVG867IVV881q1bB5PJBJ/Ph9zcXOTn52PLli04fvw47HY7li1bFpFKld5ng8HAyNGxRrjvs5LabrLg1q1buHPnDhITE7F7926W9j5a3L59G9evXwcAP7sXXqGqUqli5kk8HkhJScHHH38Mh8OB+Pj4iL9LSZLw448/wmazAQBOnjyJTz75JGbtM5lMuHXrFjIyMlBZWenX7wSzUBgNysrKUFZWFrPjLVu2DD09PZAkCfHx8cjNzVXcbsGCBXjy5AnMZjPS0tKwfft2PHv2DLdu3UJOTg5ee+21sM/Z1taG/v5+TJs2LeznXaVSYd26dVi3bl3Y55koLFy4EGq1Gh0dHaioqPDLWuno6MCtW7fgdDphtVoxe/ZsxMfHs2ykgoIC/POf/2R96NmzZ6N+VqdNm4bp06cDiGwcobmWVqtlZGwk42EwYQIJCCgDi8hsXmSg1+uZMluj0TCls/z9J2KaFsvpeGq1GkajET6fz29hmshzOiYRzKSWpsKHckswrVbL4sxQanHKjODJbY1Gw0hp+p1fCCBinZTpSghXfc3f5/FSYdP36fF4mOpcr9cz0lrJQkVAQEDgVYHovQRiAprUTNbAVEBAYCR4/1+lQESJnFYqnEPvPv9PYHKAAhdKJ6f02kAerkqQE9YUgLlcrhGKJDqfkpqIgkPes5q8uK1WK+rq6pCZmRnQ4zUQyJqDD2SjJa3pmaZrHwtkZGTg008/ZXYuwLDFzQcffDCq49H9HQ1pPVoLkdmzZ6O2thbd3d1IT0/HggUL/D63WCz46quv4HA4UFBQgJ07d06q/qG/vx83b95kz+Cvv/6Kt99+O6pj3rp1i30HNTU1WLduHdRqNdLT07F69WpUVVUhIyMjKv9ySpePxuonUmg0mqhIfZ5wi2Wmj81mw7fffgubzcaIr1D3trGxET/88AN8Ph8qKiqwcePGmLUnUkyfPh2HDx+G2WzGlClTRhBLXV1dOHv2LLq7u6HX67F161ameC8tLUVpaWlE56uursb58+fhcrmQmJiI999/H3q9HjU1Nejo6MD8+fMDkuehQL7AE/2Oq1QqLFiwYER/BAw/L/QskhL5L3/5C/r7+5GdnT1i7IpV1ku4/atcUe12u8Ou6RBpe4LZb6lUKkZUAy/HVJ6gpowun8/n973T2E6ZWHx2FvlY8ypwfnGdfgdeEtAAWLZWuKBzETHOW4XQHJYW4Pn5UTjZaKS+poKQRPKHat94qbCpD6HFAq/XK0hrAQGBVx6iBxOIGjQ5EWprAYFXD+SDCIy0+aCJPQUovM3HRAemAuGDJ2GpEFE4AZKcsCZfTPL+BF6qiSjodDqdAccDXslFx7Tb7XC5XPjss89gsVig1+uxevXqkMXT5MeNtVe7nLBWInaD+XeHA/oOIllEGCuM5hrcbjd6e3vx1ltvBbyGS5cuYWBgAMCwVURra2vECxNjCbnn+Wg81OUwGo0YGhoC8NJrlrBw4UIsXLgwquNbrVZ88cUXcLlcSE5OxsGDB4MSEjabDXfu3EFcXBwWLlwYc/uZcKBSqbBixQqmRF+7dm3Mjj04OMjef4/Hg46OjqDb+3w+nDx5kr3f9+/fR0VFRUQWDrFGWloafD4fzp8/j/T0dCxatAhqtRpOpxPHjh1jSnWPx4MzZ87gv/yX/zLqc5HfMgDmU9zT04NLly7B5XKhvr4ehw8fRmpqKhoaGlBfX4/S0tKgKnOPx8MKzRqNRhw8eBDx8fGjbuNYori4GOnp6TCbzdBoNFi5ciUSEhL8FmU2btyICxcuQKvVYseOHePavliMZZEsRAbalieqac6gNO8j4tfr9fr1Q2T7wdtTkOqXnzeQz7R8gZjPCuPnG4Rwsnh48poW+Xi7EMBfdU2L8eESyBqNBkajkdlzhFJfE5RU2A6Hg6nOYyEEo/vj8XhGlWEnICAgMNkgiGuBqCGKMgoITF7wKmkl9TTgnzHBF0QU5PQfA/x3zRccCrY9T1hT6i8dgw865f0+2VQo1TzgfVx5L+u+vj4/j9Ha2tqAxHW0ZHG4IHJeybeT/kbpxPy1DAwM4OzZs5AkCW+88QbS0tKCnoMH7w0eqcqb3le5qp1fcIgl7HY7/vWvf7F08AMHDiheK79oEsw2ZaKQnZ2N4uJiPHv2DFqtFq+//nrUx9y9ezfOnDkDj8eDzZs3j+hHrVYrdDod84uNFFVVVRgcHAQwvHjQ0NCAWbNmKW4rSRI+//xzDAwMQKvVorOzc9yJOMKSJUtQUVHB+o9YISsrC3FxcczPNdTCAF+wDhi5SDURcDgc+Oqrr2Cz2aDT6WC1WrFu3TpYLJYRfZ3dbvezO4gUxcXF6OzsZKTi5cuXERcXxxZxPB4Penp6YLFYcObMGTidTjQ2NkKv1wf0eq6vr0dXVxe8Xi/sdjuqqqpiujgRS2i1Whw5cgQWiwXx8fGKz+KsWbMCvlOxhNfrRX19PTsnEBubq0jtSHhQH032H6FESZRlRcQrjY80pvPjpbwYM18TgyzGeP9tUiRTH8p7NocDuY81ZYPJ607Q+ckuJpK5L2+3Eon6mkDb63S6mKqwqZ+j4453ho6AgIBArCGIa4GoQavsYjAUEJgYKJHT/M+8cppIA75QjvCn/2NDXtQrEEiRzZOcvLqaAsxgxTQphZb8FfngkHyt5arW1NRUtp1Opwta+C0awjrYPZATv7xCTE5a03UQ4UVEgyRJOHbsGPr7+wEA3377LT7++OOQ7dJoNH5Fr0ZDWvCLE4D/IkGsSWtg2GrBarWye3Pv3j1Fe4a1a9eiu7sbZrMZM2fOxJQpU2LelmigUqmwY8cOuN3umM1jUlNTceDAAcXPzp49i7q6OgDApk2bMHPmzIiPbzQa/ex2ghHgDoeDvW8ej4cV85sojEVRMK1Wi6NHj+L58+dISUlBdnZ20O31ej1mzJjBCMO8vLxxKxRJsFqtkCSJedgPDAz4FZ9rbW0FMKzETkxMhN1u92u/zWbzK/wZCv39/WhsbERubi7Ky8tx9epV9llXVxeWLFmCtrY2Ru5NmTIF1dXV7NlxOp3o6OgYQVy3t7fj1KlTbJET8O/PJitUKhWSk5Mnuhk4fvw4eycfP36MPXv2jJq05ud0owURuPRdhvu+klKYfKv5Ohp8YUDgpS0Iryz2+XxwOBxwu90wGo2s0LPRaGRjGKmy7XY7I3P5WhmBwNul8e0LdG2jtb6Uq68jteaIpQqb5iM6nY61gy/aKIRmAgICryIEcS0QFUbjlyogIBA5KKhVKohIn9EEnlQvvHo6EMi2QeCPC4/H40fMkocjgSes5cTuaIImItP4okt0HvnxJUliqeXV1dVIT0/H7Nmzo7xiZQQjvekzCmbdbndAwpdSoJXA+0uHazvh9XqZFcBYIpYFElNSUvxSv9PT0xW3i4uLw5EjR2JyzrFENIQqb8ETDA6HA3V1dewZuXDhwqiI66VLl+LFixd48eIFSktLUVJSEnBbo9GIhIQEOJ1OaDQazJgxI+LzjQd4de/GjRuRl5cX0f56vT4ir+e33noLAwMD0Gg0405gVlVV4caNGwCA+fPnY+3atcjIyIBer2dKy3nz5gEYJsMOHTqE8+fPo7a2FsDwwkgkbTabzfjiiy9gs9lgMBhQUlLitxjn8/lQUFCA0tJS9PT0oKioCPHx8SgtLUVVVRUjs5WsQn788UdYLBbW1oSEBOTk5GDJkiWjvj/AcIHT6upqTJ06Fa+//voflmgzmUxsLOns7PT7TO51HQrRWox0dHTgxIkT8Pl8mDNnDrZu3Rqxp7TD4WBCCLVa7VeQEXg5N5BbftDCB41RWq0Wdrt9hPCCyGyy9XC5XCzziffdlkO+oM6LOgD/mhi0eDyarBC5+pruRaTjbjQqbFJXUwxA7aJ4wOl0hm1pIiAgIDCZIIhrgahAip8/6qRSQGC8oURKR0tOBwMFC7EktQQmD3j/ZyKTSVFEBQ3lCxeklI4mTVWj0TBi02AwhFwcSU1NxZo1a4JuE6lvJwXPpNQiyxMl0HulRN7zUPLT5o85b948PHz4EAD8CHjeN3MibAmuXbuGO3fuQKPRYPfu3aMuvkYoKCjA6tWrUVNTg6KiIlRUVMSopa8WrFYrvvzySzidTqSnp+Pdd98NSAjIFd1xcXGjOqdWq8WuXbvC2lalUuHQoUN48uQJjEZjxIX8xgvff/89Xrx4AWBYhfq3v/0t4r7nxo0buH//PtLS0lBZWYnc3NyAyl+VShXUxmcswRfvfPjwIV577TXodDocPXoUTU1NSElJQX5+Pttep9Nh06ZNqKiogM1mQ2FhYURjdUdHB7MBcTqdsFgs0Ol0rE8uKipix+SV5+np6Thy5Ag6OjqQl5eH1NTUEcfm+0KdToe//e1vUc8j2tracO3aNTidTgwMDCA1NRVLly6N6piTFampqWyBU/48xrpuQyicPXuWLaDW1NRg6dKlSE1N9cvQCwRJkvzqBZANCO1HpLGcFOaLQ5Ja2eVywWAwMIsrnU7nR2ADL+1M4uLi2JhMZDGNtURm8/7YNAci8pqOQ22lc7pcrqh8pnn1td1uZ0RxpMeLVIVNpLWSHROR15T1ptfrRbFGAQGBVwqixxKICko+pgICAsERyNKD94unSTpPII4FsUznEcT1HxOktuYLKBKhLMdon7VAVjX0z263o62tDVqtlhX7Ki4uxoYNGyIip8IhremdIRKaJ4mDEcZ8e0MhWEr22rVrMW/ePEiShIyMDD9PbqXt6btRqVRwuVzQ6XTMBiJWmRBUnI/IstOnT+ODDz6I+riLFi3CokWLoj7Oq4ybN2+y4pNdXV14+vRpQBW1VqvF9u3b8dtvv8FoNI6b17Rer8f8+fNHvf/ly5dRU1OD3NxcbNu2bUzsPqiYJTCc7XD16lUsWbIkbHLfZDKhqqoKDocDFosF7e3tiIuLw+HDh5kdx2SBwWBgBCG/mGE0GoNmm4zWziQ3Nxc6nQ4ejwcGgwELFy6E1WpFQ0MDysvLg77DKSkpQS1JNmzYgF9//RXAsHq8s7MTeXl5Uc0lLBYLUyF7PB5mvfQqoa6uDufOnQMwXOgxUJ+wb98+3L59GwCiVqkHgnzBl/+dyFqyleC3iY+PZ6ppAIxAlX+3RPTy+wIvF+bsdjuz1NLpdEz1TAQqLTITsUo1MmieQqQtTzLzi4Mk4qBCjDTW8kQ2r8jm63CQNQoARupSMUN5Ztpo7jsR1tGor/nrDKbCpkUAytwItIBKpLrT6WQ1T8TcX0BA4FWAYBwFRg1a5RbpRgICIxGoICJNknnPaSLaiMQb70kk79sr8McBWRgQOcp7qBJ4RY/Scye3qFEiqek4/DNNz5LL5cKJEyfQ1tbGVFE+nw9WqxVZWVlBlbq8j2U4oHNT28irk4pM8cfh/07KqFBEMXlDUkAcCLxtRji+4vx5w2kHfw18ISin06lIjsvf61dpzHa73Th37hx6enpQWVk56RTDfLEvIiqCobi4GB9++OE4tS56tLa24t69e3A6nbDZbLh58yZWr14d8/OsWLECly5dYhY9N2/eRF1dHT788MOwxkMiYQherxdWqxU1NTWorKyMeXujwZ49e3D69Gl4vV5s2bIl5Pb19fW4dOkSkpKSsH37diQkJER0vtTUVLz77ruoq6tDfn4+s5aJhYq5vLwcZWVl+OWXX/Dw4UM8fPgQZWVl2Lx586iPOX36dCQnJzNl6auotj537hxbnDh37lxA4lqv12PlypVj0gY+m44H/a7VahkBqtFosG3bNpw4cQJ2ux3r1q1jCz682tdutzMCmK/HQNl/NNaQuprmtqSy5m3E6NiUNUhtJuLVaDSyfUlYEWquys9D6FppLuB2u9m+NI7T9dM1EHlO/RAR3tEgVupr/hqVVNgA2Dwv1PFp3kM1PKIh1AUEBATGC4K4Fhg1SG0tBjuBPysCkdO89YacnOb/TRZE6qUoMPlhMpnQ0tKCKVOmIDs7e0SRQVL1UrAZ6BmWE9P8P3m2jZIPu8fjQUdHxwiFt9vthtlsHnFsIgD5/8MBTxqS7yUVUCS1odK1ezweRX9puY81EcORgrdkkRPovBqblG8AQtqVEEhZRqRdoH2MRiNWrVqF69evQ6fTYdu2bUGP63K58PTpU8TFxaG4uHhC+6rz58/j8ePH8Pl8+Pnnn5GdnR1RUbqxRmVlJV68eIGenh5Mnz59RPE6JdjtdlgsFmRkZEz6RQS73c6eV6/X66eMjiUqKiowffp0/POf/2Tvo9PphMPhCEt1PXXqVGRnZ8NkMrFFJb1eH9B7fSKRlpaGQ4cOhbWtzWbDL7/8AofDgf7+fpw5cwZ79+6N+JxZWVnIysqKeL9woFar0djYyMizhoaGqIhrvV6P999/H/39/UhOTh6XwtFdXV14+PAh8vLyMHv27Kj7PH7/8ew/SY1rMBjY+BuoODMtapM9RmpqKj788EP4fD6/d47msaTIJsKXQLYePOTkcyCRk1IMSWMmFczlbUcAMJVxOPeVV1uT5Qi/gM6P6XR/6H6Q2pyuIRrQ/ESr1TK7Nlr0jAa8vQkR2XSvQolRyDrF5XIxS7fJFJcICAgIyCGIa4FRgQLmyV45XEAgWigpTHlyj1d40L/JSE4HgyjQ+MdCa2srvvzySzgcDlb4UE7gEBmllOKrBLkPutL/fHBMxDPZjxA0Gg0MBgO0Wi0WLlzoV7wRACsSKbfi4Ilt/m98yjMRJ0RYE0FNQSipvoiQJiUXDwre+CKLdP3hQK4S54N8SksmlRmf2kvqN0rxVWqbHLy6PBTCtfWQJAmff/45+vv7odFoUFFRgXXr1oXcb6zQ19fnd31Wq3VSEdc6nQ7vvPNO2Nt3dnbiu+++gyRJSEpKwuHDhyeF3VpbWxsaGhpQUlLiR75PmzYNGRkZGBwchFarHVP1cmJiImbMmIHa2lp4vV7Ex8eHXfhbrVbj3Xffhc1mw8OHD/H06VOUlpaGpdD3er24desWBgcHsXz58gnzvlYCWSkQrFbrBLYmMOLj42G329nP0UKj0SAzMzPq44QDs9mMb775Bna7HTU1NXA6nX59ZVNTE65evYq0tDRs2rQpLCJ98+bN+OWXX9jPsQRl6fBKZYLb7fYTS5ANiFItCzoWv0DLzwv0ej37nB/DaAzl7Snknss8+czPh2mhlY5NBZzl16HX65niXp6lGK6llxL4+yKvV0EkNs3jaR4STuHdcEFKZ1JJR6u+pvtJiwdkzUbzoVDFtYlQd7vdcDgcLKtMQEBAYDJi4mfLAq8kiJQQA5zAHwGRkNOUSviqkdPBwCtu/wjX82dHbW0tIxHsdjtaWlpGENd82i3gr3wK9X8gUIEmObl84MABXLhwAfHx8Xj99ddZgKTVav2CKwoW5USsPOWZxh1SC8kVYDxpTJ7RFJQqBekA2HZUyDEayDMYNBoN9Ho9U3nxpDV/XvLUJAUVf+1K4NXwvMJ8tEE9MOw1bLPZ2D2tq6ubUOJ65cqV+OGHHyBJElJSUqIuKjkadHd348mTJ5gyZQqmT58e1bGuXbvG3k1JktDe3o6ioqJYNHPUMJlMOHHiBBwOB6qrq7Fz507WJq1Wi8OHD8Nms8FoNDLVZHd3N44fPw63241ly5Zh2bJlMWnLpk2bUFhYCKfTGbHyVaVSISEhAStWrMCKFSsUt5EkCUNDQzAYDIyM+vXXX/H48WN4vV40NTXho48+GheVbzhITU3F1KlT0dbWBgBYv379uJ3b4XDA5XIhKSkp5Pewb98+nD9/HsD4tjEW6OnpYX2+y+XCs2fPGHE9NDSE06dPw263o6urCwCwffv2kMecPn06/v73v8e8rR6PB1999RUGBgZgMBhw8ODBEdYxpCjmFc40nsgziQLB6/XCbrczopesJMhug19wJiGT3HNZr9ezY1Ab+MKLtK+S2pe37KCFXPp7rDIE+XmNJElMiEXjNLWPCP9YZRjTtZH39WjV13LSmv5G31cgL2z5eYi8JjJdSUEvICAgMBkgiGuBUUEUZRR41RCogBxP2PLkNF+k7o9O5vJq2T/6tf4ZMG3aNNy7d48prvPy8vxSZd1uN1My8gqdaIIVn8/HSGgiTqnwT1ZWFt5++22Wfkx+j9QGUoMFI2gpeOVJ62CkLvDSf5gPROUg5VUk3tI8+PRcnU7nl05NbSMSjIhpOWlN5DtdE08shGsZAoTvBR4McXFxbGzXaDSYMmVK1Md0OBwYGBhAenp6xIRgYWEh3n//feaJPt6L5YODg/j6669ht9thMBiwcePGgAX0nE4nbty4AZ/Ph8rKSkWLi/T0dDx//pyl70+GwoFtbW0sw8DpdOLZs2coKirCwMAA+vv7kZSUhOvXr0Oj0WDt2rVISEjA6dOnmdXPzZs3MXfuXEWlLXnc9/b2ory8HOvXrw86xqhUKsyaNWtMrlOSJJw8eZKRwG+//TamTp2K9vZ2RoyRHcpkIa5VKhV27twJq9UKg8Ewbu1qbGzEmTNnAAy/gzt27Aj6vSUmJo4oNnr79m3cvn0baWlp2LlzZ9jq+fFGbm4uU50aDAbMmTOHfcZb4/h8PvT19U1EExkaGhrQ1dXFiOWqqirFhUWn08nGfLLOImUzZSCRqjkYaAynMYv8muUks9xzmTIFeJKZxny+D6f2KZHXtIDLk8j8MaOZq9Lcn4h5KoZMhC/wkhgmwp7U7DRXirZgOvl9E2Gs0+nCJseVFgGozfR7IC/sQCpsOjfNTcaiCK+AgIBANBDMo0DEoNX1yTKxFxAgKHnsyovI8cXjyLfvz0BOhwLZMIgsilcfM2bMwO7du1FXV4fZs2ejuLiYBZOAv+0HqW2i8XKkIEquhKKgigI+OjcFXLRvKMKYSAWetAZeFoAC/FXH9Bw7nU7Y7Xa8ePECWVlZSExMHHHscNXVdFxesUYkNJHWlFosVz3z951IBAqGeauW0XhoxxoajQYHDx5EVVUVEhMTsXjx4qiO19/fjy+//JLNGY4ePRqWZzGPhISEiAvSEcxmM86fPw+1Wo3169crPgPB8OLFC/Z8Op1ONDY2BiSuv/32W3R2dgIAnj9/jr/85S8jtlmzZg1cLhdMJhOWLl06KTyYi4uLERcXB7vdDqPRiLKyMrS2tuLkyZOM0KHnubu7G++9917Yqv6rV6+ywqyPHj1CaWkpCgoKxvJyAqKvrw9tbW1M8X7+/HkcOXIE8+bNw5UrVxhRVV9fj+XLlyseg8jLhISEiJ/j0WIiFjguXLjA7lNLSwssFguSk5PD3r+npwfXr1+Hw+GA1WrF77//jq1bt45Vc6NCfHw8jhw5gubmZmRkZPgt1mVmZiI9PZ0R1mNRmJQQaiEWeJkZRARlMLtGPhOJFybQWEakbKhzErlNRHiwOQIR4jQu8mOaEilL8w+n08nsSXglNJHrvGUHLfZGM2fnyXAi53nymq6XSHsa48nuhC/0SNYjo4kj5OprGieDzcMDkdbBYnP6XkKpsGlhgupmhPq+BQQEBMYTgrgWiBhUaVkMZgITBSVSWpDT0UEUaPxjobS0FMXFxSxYJTUPEcV2u539Ta44Chek3iYil54fUhLR+8YviFDqryRJcDgcAYNmCgjl5C4FxXKlGH8d1B9YrVZ89tlnzDf63XffDatAGa+i5q9Brobm20XkJk/yyT2oeVJdXvgyEnsPCnRJHRXr9zYpKQkbNmyIybHu3bvHVItOpxNPnz7FvHnzYnLscPD1119jYGAAANDb26tIJgfDlClTWBq1wWBAeXl5wG0HBgbY92i1WhUzWLRabcw9b6NFRkYGDhw4gJaWFuTn5yM7OxsnT55kxCUP8ljeunUrjh8/Do/Hg6VLlwb0NeafT1q4iQV8Ph/OnDmDlpYWFBcXY8uWLQHH9+bmZtTW1iI3N9fvPaM2L1u2DDdu3GB9R1VVlSJx7fP58OWXX6K/vx8AsHPnzgkj4ccaiYmJfuriSOvZyIveKRXAnUxITExU7JfUajX279+Pnp4exMfHR7zwFQnCGQOmT5+O8vJyNDU1ITs7G0uXLg372PKFUeqfKOvIYDAwklipLaTyBob7geTk5IAqej57kY5FcwUiS3mC2mAwwOl0jpiD8MegffmsrtGA+iFabKYFabIuI/9wYHispbkSKcZ5mxO+yCNlhpEaOxIRSLjqayKc5cp1ACwjLVRGSygVNvlwO51OUbRRQEBgUkEQ1wIRgSYPQm0tMNYIZOnBk0BERpMyItrUvT8zyFJB4I8DedFNIrD5CvR2u50VC3Q4HCzwCgWfz6dIQikFXBQYktIHCKx0poCRFE5ymw8lVTJtR6Q4BeJNTU0YGhpiQW51dbUiISsvAEUEFl9giuwz5N7TdK0UxBIZoOQ1TeQ3r/Li+7Fw/bXpPgYK3ru6utDc3IyCgoKYWH1Eg4yMDBb06/X6cS2sKF/g4NP+w0VSUhIOHjyIxsZG5ObmYurUqQG3LSwsRFNTEyRJQm5ubkRjUWdnJ27duoXMzExUVlaOu8doRkYGMjIy2O95eXlobm5mmQ70nM+cORMAkJ2djU8//TTkcVetWoWWlha4XC5kZmaipKQkJu2trq5GfX09PB4P6urqUFRUpKiEN5lMOHXqFBwOBxoaGjB37lw0NjYiOTkZb775JtuOVJ8AAqbIv3jxAn19feyZunLlCg4cOBBRu30+Hx4+fAin04mKiopJa5+xfft2nDp1ClarFevXr4+YuJ4yZQpyc3NhMpmgVquxdu3aMWpp+LBYLOju7kZubm5EBSTVajWys7PHsGXhQ6VSxXThi8Yt4KWyOhgp7PV68cUXX2BwcBBqtRr79u1Dbm7uCOsMfmHaYDAwhTItAtrtdjZW0yIsEec8cUzHouNSgeVo5vlk00TzBMqU4gl0InhpzkT78MQ6bUOgxW4qskznoEX4UG0Opb4ORlrz9yZchFJh0/cmijYKCAhMFgjiWiAi8KShgEC0CFQQUV5FnCaA9Dt9JhA7yElOgVcfgYpu0jtlMBhGqG6cTifi4uKCvl+89yOvGlYKbnhv+UBqSz5gI8saj8fj529JxLcS3G63X2BLyMjIYISUXq9HTk4OgJe+1hQUytOmKSAlRblcaU3XRecjBTn9TafTKWaC0Hnpeula5cUlQyGYwrq7uxtff/018zd/++23x1wV2tTUhPPnzyM+Ph47duzwUyXOnz8fg4ODeP78OWbPno3CwsIxbQsPlUqFadOmoampCQCCqqWDIS0tDUuWLAm53fbt29HY2AhJkiIq4jg0NITvvvsOdrsdTU1NcDqdMVO8jxZLly5lxSMrKirYu52XlxfRcZKSkvDxxx+zNP9YwWKx+C2CBfLqNZlMjJCm/ueTTz4Zsd3u3btx+vRpAAhoacHb1ajVaqSmpkbc7lOnTqGxsRFerxc1NTV4//33J+VcJiEhAe++++6o91epVNi7dy8cDgcrODuR6Onpwddff82ewyNHjkwKf/mJxGiy7FpaWtDX18fepevXr2PXrl3sd36xl45P4x79MxgMfgUdacGZyFKeOObrRDidTrboHmmWEoHGdLIkkccTpHwm5Tm1i85Li9hKMTCprKnd/DXyRHYof2wl9TUwTFwHIq2jsfAMpcIGIIo2CggITAoI4logIvCTBgGBcBCInOZ9duXkNP9PYHzAK0HFff9jgN4h+XfKB3286oZUUUQ2yIMryrghMpcnZHlvSh4UGCuR1nLCmv+72WxGa2srsrOzkZWVNYI4lkMpiM3Pz8cbb7yBmpoalJSUMEUmkcRKqdN8u3kfcP5+8WQ9BXr8fQ1E0PPkdLBilNGgtbWVkXgOhwONjY1RE9fBSAKXy4XTp0/Dbrejr68PP/74o58KVaVS4bXXXovq/NFg69at6OzshEqliph0jRQqlQozZsyIeL/BwUF2fz0eD/PJnkioVKqAPs+jOVYsSeuOjg7cv3+fvZupqal+BfV4FBUVIS4uji1eBfInz87ODmkjk5KSgk2bNuH69evIyMjA66+/HnHb29vbWX9hs9kitmcKBKfTiaGhIaSmpk4aYYlKpQrqAz4wMIATJ07A4XBg1apVmD9//ohtLBYLfvvtN/h8Prz++uujzti4du0asytxuVxobGzEggULRnWsPwIePnyIJ0+eoKysDAsWLFDMbiLrCCpeDAwvRPF+yKmpqez5pbGQxj/eFosKLRJJTaSoElkq97DmfaSpjaMlrkldzRcwlIOIY6fTyYhiqgOi1WqZv3QoSw6KbagoNi1Sy/2xifCWz4FobkQ2JMG8r8OxCQkHSipsWnygPjQSVbeAgIBALCF6H4GwIYoyCgQCT0QrEdT8JI6fpAlyevKAvh+apAr8McD7KvN/kyt8VSoVC0ocDgcLPil4Akb61QIIGMgQgaukJKZzBQq0LBYLPvvsM6Y22rlz56iVurNmzcKsWbMi2kdu88GT1vQ7v4BLViikvCb/zEAZDKMJuJUCdQrkeRQUFMBoNDKFVCTK33DPy0NO0pMH8mSBSqWacLuUUMjOzkZcXBxT7y9atGiimzSpcenSJea1q9fr8eabbwa0skhJScHRo0fR1taGnJycqIthlpaWwmw2Y3BwEDabLeL5cGFhIerr6+Hz+ZCQkBATQr+rqwvHjh2DJElISkrCoUOHoiaXJElCQ0MDent7MXv27DGx+Pnpp5/Q09MDALh48SJKS0tHEN3Hjh1Db28vgOHimh999FHE52lvb0dDQwP7XavVIjMzM4qWv9pobm7G+fPn4XK58OLFC8THx6O8vJzNE/jiikSy0jiQmZmJNWvW4M6dO8jLy/PLDOGtJNVqNSuebLfb2f5ESvPErxJZCgzPN/i5qF6vh91uZzUreGuucEBqayV7Hvm8lxbjyeOZj1koFo7kHePV1tQW3laEtybjBTwURxFhLp97EGjsiBWUVNjA8HjPf8cCAgIC4wlBXAuEDRoYBdH450Qk5DSfCi/I6VcHgrj+44FIaj7ICkZG8uoivV7PAis5glmD8AUb5cfmiXAleL1e1NfXw+FwMAuNmpqaiIhreo6VrpMIZo/Hw0hfOflut9uZNyddO68Eo6CbV06R5zRfiCoYqK/krUb0en1Ay4NAxbLkyMrKwr59+9DY2IiioiLk5+cr3h+DweD33QZKGw9FsicmJqKkpITZcaxbty7o9pMBkiTh1KlTaGlpQXp6Ovbs2TOhC/JarRZHjx5Fa2srUlJS/tSkWjhISkryyyQJ5VeclJQU8eJVIPz222949OgRPB4P6uvr8dFHH0X07Lz55psoLi6G0+nE3LlzYzI34tXEXq8Xra2tUXuJV1VV4fr163C5XLh37x4++OCDmPtxy8cVpf6ML+oYqG8MhadPn/r1bUajMahX/WSE0WiEy+WKSSHenp4edu+dTie6u7tRVlY2oqigRqNhNTH472rBggVYuHCh31hO25CdBI2/9MzQWEPfMS3u8vGBnCzlaz6QRQfNTXgv7XDfIV7tTaD9lYhfsvwg5TWNz9SGaOJhJSKb5jv83InmIWRZQsQxP/caa1EZv7BAqnmHw8G+K0FgCwgIjBcEcS0QNsgmROCPCyVymv9ZTk7Li4sJvNoQBRr/eCBSVf63YAEwX+BQ6ZlQsgbhbUSUEMofkfe0zs7OZuorvV4fkLSmBTLy1CTyly+25PF4/K6XzsPfC/Lj5AloAH6+16SOUqlUfhYjPDke6t0hFTYR35QaTcFprKxDcnJymJ+3EnjSmsiJ0ZJCALBt2zZYLBbo9fqIi7gFg9PphMPhQHJyckzHl6dPn6KxsZEF4FVVVVi1alXEx5EkCVarFXFxcQHnRmSrE2rupNfro1bH/1mwceNGOJ1O9PX1obKyclRe06NFa2sr6z98Ph8sFotfUctQUKvVAW1NRouUlBSmQFWr1X4e86NFQ0MDIyu9Xi96e3sVF8GCweFwwGw2IyMjQ7Hv37RpE77//nv4fD7MmTNHsd2zZ89GTU0NAKCs7P/P3ns/SXFl28KrqrtcW5o2mAbhvZPwVg5kQCONPCONJGRGmnvnRdxf3p/y4t0bd+LGvW+sZkYGeYsGWUAgPAjv6aaBbtp3+crvB751etfpzKos09A0Z0UQQFVl5smTmefkWXvttafncSbA6NGj0/5fzDHqRsGuKDGQn0/1zJkzsWvXLiQSCZSUlKRZaMnrxCB0MplU8zfrW0hLLM6Bco7nvjluk4zm/xn0BfrfN2QGFoOrDCLL4stsKxXJbohTvp/owRfLsjL2oSSvJSlPv+tikcWStJfBf9YdkX7bLHzJotrFsglx00YW36bfONtIQYBZBxoYGAwmDAtp4AosqmGUmLc+SI7YFUSUKfHS2kNXRhgMT5gCjcMPJEbtlElOaiUuUOzITC7cotGoIo0zEdYAHItzpVIpWxVZXV0dHn/8cRw+fBjjx48fQPTI4pJcSJNM5wKVbeWCz2lhysV0JqWznSWH/B7o98q0U3hTnU3lklyIslgVkF2lXSzIRTGJ/kLhptAZrV/cvEecPXsWH330EQBgzJgxePLJJ4s2/zDFHEDa/ZLrPv72t7+hvb0dXq8Xzz777ACl9Pbt2/HTTz8BuE7SzZgxo/DGGyAQCODJJ5+8KceeM2cOfvzxR0WC3UjS3Alr1qxBX18fLl++jEWLFqG+vr7gfc6YMUMpc/Ox1mAxRMuyEAqF8OKLLw4g+RobG/G73/0uo+3C/fffj7lz58KyLDQ0NOR1LtOnT0djYyOuXLkCr9eblze5W0gSlON7MQKSTvvIR4FdWVmJV155BVevXkVdXV1axgJV0Tt27EBXVxeWL1+Ouro6NfZynqUCWtZqiEajKjPJTgFMoplB2lQqpQoZS7sM/pH2IpZlIRgMphUyzsWyw6moIolvnoc+x/BdKBaLKZU4bbjYV8VeFzMbjP7a7CtadvCdRfbFjRSV8d1LepbrRTaNCtvAwGAw4LEGozqQwbADI+vG3/rWgR0p7UROy78NOX37wrIshMNhhEIhcx8MI9gRhuFw2NbqA4AipuXrAUlOLqSogLJ7haCKl2otuTDWU4Cll6MTSPJ6vV6VJsyFGlVPXCxL6wsezwky1TbXVyEqj6TPtd5nAFQfh8NhtaiXBLXbIlP5FqOih64dKc7UX6f9WpaFixcvwuPxoLGxMe8xwbIsbN68Gc3NzfB6vXj66aezklB/+MMfcOXKFQBAKBTCc889l5OyNROSySTefvttXL16FeXl5fjVr36VsYicHc6dO4f3339fKSGnTp2KJ554Iu0Y//7v/64CIpWVlfiXf/mXorTf4Obi/Pnz6OnpwZQpU9LUu5ZlYevWrTh9+jSmTp2Ke+6555aeR0+dOoW2tjbMmjXLVWBK4pNPPlFK6dLSUjzyyCN5K6aLAcuy0NXVhWAwWFTFNQNXg+EBngn5zgdu8MEHH+DkyZNIJpOorq7Gv/3bvw14T5D1LpiVxfWhTqhy7iZBHQqFlGqY8ygAldXEAozchiQp0L8Gpcc9j59J8cuC03bvtWxDPB7PGFSl6lq+M3AuDwaDRXvOGVR2ejfjsUliy4A6Fds3ch0nLWKY4WZU2AYGBoMFo7g2yAqnFCuDmw8nSw/5QsmXGBkJNy8SBnaQxWfMPTJ8YOddble0EehfiMjrz7RdSdLakdYsukilGVNY5SJLKpSj0Si+/PJLXLt2DatWrcLkyZNtlctcrPK+ZCotoXulkiCWpLW06aDiubS0NK1NmUCVGUl5tkNanOh9wcWu7Df5Oy7s2FeZSPZ8SApeC7nIl8im8P7kk09w6tQpANdViw8//HDObQCAy5cvo6mpSZG4W7duxcaNGzNuU1lZiatXr6q5rZjvHyUlJdi4cWNB45wkQbxe7wBiTycPClXExWIxvPfee2htbcW0adOwbt06M0bfJMRiMTQ3N6OqqirNK/nnn3/GgQMHEI/HsW/fPowePRozZ868iS0tDFOmTMnbvqampgalpaXKYtAt8R2Px9Hb24uqqqqiqjY9Hk/RyeV//vOfipxfvHgxVqxYUdT9Z0Km+UCqhPNBU1NTmhd1e3s7Kioq0vyvOS7Td5pBY64vOE8ywC1rTlClzOwjkpsyw5NzKwPCHOtYe0NXtvO9xc53maS03XjJOUDWm3Dq00AggEgkkmYXQrK2GEVW3ZDWbAtV6cw4Y+abzDbTPcsHA+wD9r3P50srsmlU2AYGBsWEIa4NsoLkg5l0bg6cCiLypU2qpeULIL8zMMgFToSmwa0LO59qXbGlF1XkdyxExHHITlVMAlYuoqQlEQlL3RN7y5YtOHr0KFKpFD755BO8/PLLiuCQ7eM+5WdU9HDhKAstUgklVd1yXzy+vrCXZKNOItMPmmS3HVktIQn6QCCg2iMDQ1xoDoZ6jmnG+ZIXAHDmzBnVXydPnsx7P1Lh6KaYHnC9iN1HH32Erq4urFmzBuXl5Xkf3wmFzI8NDQ1YsWIF9uzZg/r6etx9991p33u9XmzYsAFffvklSktL8dhjjxXU1h07duDChQtIpVL4+eefMXXq1IIL8BnkjpMnT+KTTz5BNBrFkSNHsHHjRpU90N3drYJBiUQC3d3dOe07mUziiy++QFNTE+bPn4+lS5cWvf03CsuWLUNPTw+amppw5513YsyYMVm3aW9vx9/+9jckk0mUl5fjhRdeKAohOBiwLAuHDx9Wc9uePXtuKHHt1Kauri6UlZXlPZ+cP38+zTarqqoK1dXVav7nuwDBjB1JYDNYQQKdRDTJbWmVJQseS0jBjd/vTwt+2wVig8Gg+o0MTNNSwy5bWFqo6ZlQduBczvcREuIk3/N9Z5Ze4rmqt0may8KJXK+zv2XG2mAooEtKSlS/WJalVPT0NU8kEqqeB+3lzNrUwMAgHxji2iArTFHGwYcTOS1frHRyWv4xMCgW8in2YzC0YeddLslsEtLyukuVtSSfJaiwkcrTTGQpF7wkgDs7O9UxaVNTU1OjxjqqtahAkgS1VPqQxKZyWT++7mPM+YxBWVmgqbS0VKmHdO9jmQItPaq5cGfRInpty0W+PE9un80/2y104lt6YxbiX11WVqZIgkIKvtXU1GDlypXYtWsXqqursW7duqzbhEIhPPPMM3kf80Zg8eLFWLx4seP3kydPxm9/+9uiHEt6wesZBwY3DufOnVPBnGg0ipaWFkVcz5s3D/v371dkUq5FGHfu3IkjR44oj+GxY8emKbp1pFIpfPzxx7h48SLGjh2LRx99dMgEnL1eLx544IGctvnxxx/R09MD4Lr69PTp00PWF16vA3GzM1JTqRTefPNNtLe3w+Px4Omnn85YoNcJ3333nZozfD4fHnnkkQFWHrTUIBktg7ichzhXS6KSQV9JrHLuY7FBSaxy7SNJbrt3ERbAlXUuJNHNdxidMJX75/yfLQuH70WRSETNu/T6zseCphDSmv3P4A77LxaLIZFIwO/3q/7gdeL7EknsYpHIXq8XwWAQ0WhUFbJkv/r9/jT1PfusELLfwMDg9oRhIw0ywhRlLB4kEW1HUMsXKP4x5LTBjYYp0Dj8wAWWXJTJtF0SMQQVM/ShtFNYS8JapgNnaoNMgU2lUlixYoUqwFdTU4OGhoY032gAar/yniS5zP3aEb9y8RsMBhU5zxRmfWHLxTr3a0f4cnzm2M3jUvEkF9Dch91Cm+owFncqBJlIa6eCk27x7LPP4ttvv4XH4xmgKM4VixYtwqJFi2y/6+npgWVZOfvo3k5Yvny5UsDX1tbmbeGQCQcPHsT+/fsxbtw43H333UUlFRKJBN59911cvXoVjY2NeOyxx25J0mLGjBn4+eefEY1GEQwGMX78ePVdeXk5XnvtNXR3d6Oqqirn9+bOzk41HiSTSfT29mb8/c8//4yTJ08ikUjg9OnTOHDgAO68807EYjF8//33CIfDWL16tbLIiEQiiEQiqK6uHpLvlOwzWjYMRpZFMfH000/jiy++QElJCR566KGb2pampia0tbWpufz777/HU089pb4ngcx5z0mRXV1djUuXLilykfcO3xP8fn+akIn3uGVZqtAvr58eRNYLRfM9gkphSazK+0CCBCktO/i8xONxlRXFPwxmk8wF0n2g9fchO0s1O5C8jkajafZjuRZqLIS0BvoLS8pxlO9Z7Hu+70jlO99d+G4lSexCiGyZXcYCljL7106FbSwsDQwMcoEhrg0yghOxmVDcIRdymooNQ04bDCW4VZ4Y3DqwW5RRhaST1lSO6QpsIhAIKOWTG+KVpDEXM1xAx2IxTJs2Db/73e/Q09OD+vp6tZjRPR5JCEs1lx2kvyUV3NKSA4BtqjHTW6WVB/9IUD0kF+Qej0ctuvXFu5PvtSSUo9EoPv30U7S1tWHFihWYPXt2xv7UIdvIuToejxcl+FRRUYENGzYM+LyYWRm7du3Cjh07AAALFiywJcipQO3o6MCyZctQV1dXlGPfSqioqMBvfvMbJJPJQcmAa2lpwddff41IJIKrV6+irKysqFYVe/bswcWLF5FMJnHmzBkcPXo053t9KGDcuHHYuHEjLl++jPHjx2PEiBFp35eWlqKmpiavfS9btgynT59GKpVCWVlZVisYqcKXY9L777+P8+fPI5VK4cKFC3jjjTdw4cIFfPjhhwCAUaNG4emnn844v8fjcXz66ae4cuUKFi5ciIULF+Z1Trlg2bJlaG9vx6VLlzBv3ryMavNioqOjAyUlJTkHzgKBAObPn4/6+npEo1FcvHgRjY2NaVZZ2cB3/0LH02ye+7S1oNJVWn4x6Apct2hKJpO4du0aVq5cqWo7kKC1I2Zpl8F5j/MwA8SSNCZpyvlSrosApCmm5R+S0VLco8/XgUBAZRnxmCRGZbA6HA7brmuz+VxLUN3NdyD+2y0BXShpDSBjW0tKShAMBhGLxRCJRJSFmlSvsx18V2GGmG4rkkvbPB6Pumf4LmcXfDAqbAMDg3xgiGsDR/AFwM4b7HaGHTkt/62T0zKabIhAg6EO3qeGuB5ekMQ11cf691x86YtoLvzi8fiA7ewQDAZV0UMuQkh2cxHMBVRFRQXKy8vVb52UwjpBC0CNufyM9hyy/VyY0U6ExZ2kHQgXaFQfcXueNwCEw2GkUqk00lsn8aVvNhfXToQEn60tW7bg5MmTsCwLX331FcaNG4eqqqqsfewEp0KMPKYbQqW7uxvHjx9HXV0dJkyYMOD7YloJ7dy5U13v/fv3Y82aNQPGnS1btuDw4cNIJpM4d+4cfvOb39yW7yV8n2hqasIPP/yAmpoa3HvvvUXxAe7s7FTBnUQigdbW1oL3KSELk/KZvFXR0NCg7EGKiZqaGrz++uvo6elBdXV1VgJn7ty5OHDgAHp6elBWVoYFCxYAAFpbW1Vfx2IxXLt2Dd98840aGy5evIi//vWvWL16te3zDVy3jDhx4gRSqRR++OEHjBs3blDOWaKkpASPPPLIoB5DhyywuHz5cixZssTVdj09PfjTn/6Evr6+NOuFxsZGPPnkk+p3JPHs6kwA/euJQlFXV4c1a9Zg165dqKurw7333qvaxedaBjT5nbQdInH4y1/+Us0Vkjh2uh9JVnIc14tABwKBtOKJzILSjyHbp1tqUVHNMZDtjUaj2LNnD6LRKBYvXpxWFJSEKP2VpfpYFphmu9z4XEuQiI/H4yrTKR6PZ52beD6pVCpv0prr80wWNbr6mu948niyP4H+cZrBBaC/2HUuIjYKFOxU+vqxjQrbwMDALQxxbeAIvvjejtFP6Utqp54GoCZVWQnbkNMGwwGSxDMYHuDC2c66ggsHu8+ZjmtnGcL9cpHBBSAXcLrSRr+v3FhZ6GQr96F/JoODsjARiWV6LsoFNAOzUjnOeU9XCrEfpDc1AJUizP7SvTvtzoV/+/1+dHZ2pp1LOBzOm7jORgbqZIAdwuEw/vSnP6G3txeBQAD33nsv5s+fn1d73CAQCKCvrw9Av2+5bMt7772H5uZmdV1SqRS6urpuC9W1ZVk4duwY2traMHfuXFRXVyMcDmPz5s0Ih8O4cOECYrFYUci+iRMnoqKiQpE8mby788Fdd92FY8eOobu7GzU1NZg1a1ZR918ootGoIltuJnw+n2vFtt/vx6ZNm5Sals/O3LlzsXfvXkX2vfnmm6iqqlLPfSKRQHNzMz788EO89NJLtuNNV1dX2jPHZ3Q4IZVKpRVY3LVrl2viuqmpSamWOd7H43E0NTUhkUjg3LlzaG5uxqxZs9RYRdJ2sII2d955J+68804AUGpWy7IQCoUGBDRlcXfOgXqhP5nZxEwlkr/6c8L3ACeLLfpiM7BLMlwqgJktxCwtZmjp6y+Sy/R4P3nyJJLJJI4cOYLf/e53ynOaKmNpj8HAuzw2ADXukbh1Ow6wnyORiLIw4XuAHSRpzXeSfJBKpdS7TjZQfS2z3pyydrie5b0q729Z6NGNPzaPy+w9OUbZHdeosA0MDLLBENcGjpCVoYcr7EhpQ04b3O4wBRqHH0gs64tm6e9McNzXF6/6b6SyiItJqYamgkn6QQMYQDrL8VZXoNkRrFzQcJFpp1qSXrG6uovn5rTQlmnX3IcsZElfbabqst38zGl+kIpTqr/XrVuHf/zjHwCA+vp61NfX225bLGRLY79y5Yrqk2g0iqNHjw4qcf3UU0/hk08+QTKZxMMPP5z23ZYtW9DU1KTaW1pairKysrytGG41/Pjjj/jxxx8Ri8Wwf/9+vPrqq2m+x6lUClevXi3KsQKBAF5++WW0traiuroaZWVlRdmv3P+mTZuGXCaPZVl4++23cfnyZZSUlODZZ59VXsEzZswoqrL/5MmT2Lp1K0KhEB577LGCMisIEo8Sa9aswbhx4/DBBx8oq4DS0lJMmjQJ58+fV893KpVCZ2enbTtWrVqlnr3q6uo0L+9saG1txUcffYRkMon169dj7NixhZ3kIEFXm+ZSYLGhoUERvBJerxfHjh3DV199hWg0iv379+PFF19UXtH5ttONKvvQoUP4/vvvUV5ejscffxzV1dUDAtL6nCezhDgvUiEu60QQct7TCWwSvrI4n4QsbMhAkVxjMjjMoDcJVAnpzwxcDyBwbo7FYujp6UFFRUUaqSvJVknGSjU513byeclEQMtrw3OKxWLw+XyIxWK258++pq1JIeNgrpZRHCdIQNPeJFMbpBCA7ZfqeDf+2LJoI7Pdsh3TqLANDAycYIhrA1twYh8O6bhOlh5SUc4J2kyOBgb96lyD4QG5OLX7jqA62Y7M5dhIMppqLgBqIUPvTJmmbgdJUEsVsByT9bRdLt5lAJEqMp0Mk6o2v9+vjheNRtNIAKk642eStKY6KpFIpAVzqNaipyc/0z09pXeoHgwicT5+/Hi8/vrriEQiShXpBLcEhgQDCZJQz7SPuro6tY3f7x+UIoASNTU1+PWvf237XTgcVm31+/1YsWIF7rzzziFZLDqfa5MNJ0+eVPcSfWdHjx6tCCmPx4Nly5YV7Xg+nw9jxowp2v7sMNTeq5qamnDp0iWlxHz77beVLdDu3buxadOmorQ5Fovhs88+QzgcRkdHBz744AO88MILWbfjeJzru/gdd9yRVsS2srISTz31FE6fPo2PP/4YlmWhrKwMo0ePtt2+vr4eb7zxBnp7e3Mu5rh582Z0dHQAAN577z387ne/U9+dP38eXV1dmDZtGgKBQE7nVGx4PB489dRT+Pzzz+Hz+QYEzjKhpqYGTz31FA4dOoSmpiYVQLIsCydOnFD3UyKRwOXLlwsirt2MK729vdi6dSsikQi6u7vxySefYOPGjWm/4bqGRKK+X/l/zlWs2SADv/wt51POxwwiS/W2DqlyJgnOOZr7ItHOOZZkKd8XpP3Y1KlTcfjwYaRSKVRWViIUCik/brt7VpKxbKMksuU2vIayoKMdpNqc/aQTy8Ukrbn/fJ4fqb4Oh8OONh52kAEAvdAjz023FeGfQCCAWCymrEPcKKh1FbZdgU0DA4PbC4a4NrCF9P28FWBHSsuXLJlKLgt88DsDA4N+0OrB4NYHCzC6WfzqwQpJVgP9CyaOrXr6cbZgB1U5MpOF+5X+lfS6lB6dXBRRsUO7DwADiB057ksPakkcBwIBRQrZLeD1AozS/5pENher0p9bLq508lwq36TVSCAQcLUIzZUYlSoybp9tH+Xl5Xj++edx6NAhNDQ0YPr06Tkds5i477778NZbbyGVSmHs2LFYsmTJkJ2vi01aA8CMGTPQ1tam7vXa2lp4vV48//zzOHHiBCKRCO64446iH/d2glQAejwe9PX1qcBdT08PotFoTkpcJ+jjTCYveuLChQt4//33YVkWZs6ciQceeMD18UpKSvDkk09iy5YtCAaDWL9+PQBg8uTJePHFF9HZ2YmxY8dm9Ef3+XwDik+6gQxYcr7weDzYuXMnduzYgXg8ju3bt+OVV14ZlEKjuaChoQEvvvgigHTbDDfP85gxYzBmzBj8/ve/T/ucynaqisePH6/U2YMxTgAY8L5mZ8Ml/YtLSkrSPIydMuzktaT1hszc4vzCa8w+lL7SOiiMoP8yFbUy+CeD59KOjMcIh8NIJpNYt24dpkyZgkQioYq9uskW5FzI45KIZaCaJDTbysC8k7CJ5Cr7ljZlPKdikdby/PK1z+A1ktcymxLaaT92hR5l8U1pK8IgCN953LZfV2GTdDdCMwOD2w+GuDawRTKZLErBn2LCiZzmHztyWv4xMDBwB75sD7W0boPcQD/nXMAFApCelutmMSiJYqBfccyFkt29RN9Jph3z93Y+m1wAkjAOhUJpXpjcvyw2xdRneX4y3ZUIBALKA1KqwKUSHOhfLAaDQUViU03E7UgKyDlUvw5Up0nlOgDlXVxbW4va2tqMfe1EgrS3t+Odd95BNBrFokWLsHz5csf92KGmpgZr1qzJaZvBQH19PX77298q39Ns6OnpwXvvvYfu7m4sXboUixYtGvQ2WpaFnTt34ty5c1iwYAFGjhyJd955B/F4HAsXLsSqVavy3veSJUtQW1uLa9euYebMmSq40draii1btiCRSGDbtm148cUXUVlZWaxTuq3Q0NCAxYsXY9++faipqYHf78fZs2eVB22xVMFlZWWYMWMGjh8/DgC4//77s26zZcsWRXAfPXoUy5cvz+k6jxkzRpGyEiNGjMiLkHaL1atX49tvvwUALF68WI3Lhw8fVirWaDSKjo6OIeVVTxVxrli0aBG2bdsGy7JQU1OD+fPno7a2FpcvX8aUKVNQVlY2qKQ1AFRXV2PKlCk4deoUPB4P1q5dq77jPCw9nOWcJv/NeYWEIBXPAFSBv0AgoPpKfy+gzQYDANLGS67XOO9ze1kngtuWlJTYPn9yziwpKcHcuXPV/sPhsLLryFT4UBLt8tz53kGfbXn+emBaei9zW2aj8V2GbSkWac3zL0bWkZ36uhDBmiSYgfRAie6PHYlEclJ7E/L+k++3RoVtYHB7wGMN5kxqcEuCCr18qx0XAvliY0dQyzQv+bchpw0MiguSgUMxLd8gM6RyyA2kYiYbQS3HXi5KWNCJiEaj6nunBRvbyO35fyqnudAuLS1NIxPkwpq/5fGoepK/Zzu4aOLiUvYNyXb5OiSJ4dLSUkWMkyj3+/1pKiy9eGUwGFR+n9y39Jfm/2V/RyIR/L//9/8QDodRWlqKRx55BJMnT854Pezw17/+FU1NTaodL7/88pAgNi3LwtatW3H06FHU1tbiiSeeKKod2bvvvotTp04BuH7eL7744qASdACwb98+fP3114pcLysrw7Vr11QbXnnlFVRUVBT1mF999RX27NkD4Pp9+tBDD2HevHlFPcZwgWVZOHToELq7u7FgwQKUl5dn/H0ymcSePXsQiUSwaNEiR6/v1tZW7N+/Hw0NDZg7d67r98++vr4B9QGcoD/Hv/nNbxAKhXDy5En89NNPGDNmDNasWTMkC5cxy0cGnL766iscOHAAiUQCFRUVeO211255O0LOJ1evXkU4HMbkyZPTrKpIbnK+IXHnlO1TKJze22SxRilI0I8vM6FIkLJQnx58lZZZhF6ngmszfQ2XSqXSLEJ4PBmYBvrnUUIPxsvvJUFMGxOn+4sBebuAqN6H0hKD7ZLWZTIrjcS9tAgDUDTSmu8fuSiW3YB9z/eoYo8pMmBBWxYAaf2XT//w2tC2zaiwDQyGN4zi2mAABtsmJFdyWhZENBORgcGNAUk1Q1zfWrh69So+/fRTlJaWYt26da5IMzuLD6b56gFCCSc1tySB7RZs0geaBDD/zUUN1T9A/yJR/papvCTNI5HIgCKQVG7JuUSSCtw3z1d+TtV0IBBIewa4Hy6SmRbN85V2IjyeJNqZwm0XJGhqakI0GlVK8/379+dFXOv7HSr6hIsXL+LQoUOIRqMIh8P4/vvvbZWnTmpyFu9ygq6WvBF2Ry0tLeo4DMQMNsaOHYtDhw6pImBDSbU61LBlyxYcPnwY8XgcBw8exG9+85uMc1pJSQmWLFmScZ89PT34+9//jr6+PvVMZ9uGyKXo5SOPPIL33nsP4XAYq1evRigUwrVr1/Dpp58iEong0qVLKC0tLUjVP1iwU8red999GDFiBDo6OrBo0aIhRVpnymDJhmAwiIaGBqUCDYVCAKBsGOh3zDkmGo2mBVGLOT47ZaZIIpVzEklDZjlJcpGgkIkksCxUbDfW2c09lmUNKMQYiUTSSHKgX8XMcZwFpfkOwYAziW3plcw5l+fPdwKnAouZsgl5neT7BwMOfr8/jcSW7zJU/XLuZ6ZaMUVgMiBQTEj1NQPzxeQB5LpevofFYjHVf3b+2G72KwtvGhW2gcHwhiGuDdLAgb9QTz87clr+Wyendf8yAwODmwtToPHWgGVZ2Lt3L65du4YFCxbgT3/6E7q7uwEAnZ2d2LRpk+O2Ur3stMBzgrTJ4EJcqqwB2C7YuLBgiihtQqQNiF16sQTVY1zISsUW0G8RQtKan9mp0HV1HBXedqQ1wcU/F9lsH1NfmUbNNH+p/NKLTkrU1taq4/l8PjQ2Nma8Bh5Pf6EtSRg88sgj+Pvf/454PI4FCxagqqoq435ywe7du7Fv3z40NjbigQceyCmwJe1U5IKfYBqwk/9vtvHo/vvvxzvvvINkMomJEyfeEEL3rrvuwsmTJ1Ww5ZFHHsHHH3+MWCyGJUuWFF1tDQAzZ85ELBbD2bNnMXv27EEvqHgroLu7G++++y56e3uxePFiLF26FABw5syZtMBCT09PQYXyAKCtrU3di7FYDGfOnHFNXOeC6urqAeN3Z2enetYTiQSuXLlS9ONKciyZTGLbtm1oa2vD8uXLHYs5uoHX68WiRYtw4cIFfPDBBygvL8f69etzIvMHC07ksW4DpYMEplTZ0naBdRRYrBDoz97JFOQqhETPBt0ihNlIJIGltZa0/rIbr51AAlIqa3m+0mLDThghA8NyW6DfwlISnUQ8Hk97h6GnsiS+JTIR15nmaO5bJ2D1dwtub1kWfv75Z8TjccyZM6fgYM1gCst4H8h3ILeFFPM5Fu8FPl8kn/lOxfvELZHNe4d2cIlEwnhhGxgMMxirEIM0UOnlhriWC1A79TSQnlaeSblnYGAwtEA1BNVDBkMTW7Zswa5duxCLxVBeXq6KHQHXC+397ne/U2MvVcRUewH9qa25eA1ycSFVYyzww3+HQqG0cV63BpELeemDrS+SpPUHz4PKL6eFtPTWliSM/rojU525YOPxSArbzVV23uF6SrMkKzweD0KhkCvP8YsXL2Lv3r0YO3YsFi5cmNNcqadpZ1qc54NLly7hrbfeUtd+2bJlOak9U6kU3n77bVy5cgU+nw/PP/98moUJiRI7ixu3ZA4XrDdSzdnd3Y22tjaMHj26KIX8DJyxfft2HDhwAGPGjMGGDRvQ2tqKbdu24erVq+jq6gKQbhOzdetW7N+/H4lEAmVlZZg8eTImTJiAWbNm5d2GSCSC//mf/0Fvby/8fj/Wrl2LOXPmFOsUMyIWi+GPf/wj+vr64PV68fjjj2PcuHFF2//hw4exdetWAMBDDz2Ec+fO4eDBg0pJ/OqrrxZENMdiMfz+979Xwak77rgDGzdudLVtsbx9s0GONdLOya7mAT8HBpLf0mIq09iv+0pLVfONhLS8oPVCLrAbo2VNCf6Gf3s8HltlPo8ts5n4Wyq1LctS7xipVAqRSMT2nUO+p0jwc7v3Hnpl6/vLBjuLti+++AI///wzUqkU6urq8Nvf/jbvOVnalA32c0ARG326B1O5LN8NaYEi/bGlrYhUZOdyHvJ906iwDQxuXRjFtQEAoLe3F++99x66urrwwAMPYOrUqeo7O1LaiZxmFNqQ0wYGtzYkCWae5aGLU6dOqQVxKpXC2LFj0dzcDACYP38+gP4FNDBQwSx9l92CXplc9JHwpUpKX1hItRYVNlI1TT9Ju/uMKi3pBxoOhxWBTZWYk9rJjmyQHt1AP+lM0trv96t96gteO69PucDl92w3U5xJ1LAIpJOX+Lhx41wTUYFAIM1304lQKRZ6enrSiml1dnbmtL3X68Wzzz6r1HF2KjidtNbJeDfHYCHQG6XLqKysHBIe4sSVK1ewa9cu1NbWYunSpUPSAzkfXLx4Ebt27UI0GkVvby++++47/Pzzz+jr6xvwW5Ju9957L8aOHYsrV65g3759OHjwII4dO4ZUKpU32RwMBvHSSy/h9OnTGDlyZNbMiGLC7/dj06ZNaGlpwYgRI4p639GDnmPVl19+iaqqKvVMWpaFrq6ugolrCQYbMqGvrw9vvvkmwuEwRo4ciY0bNw4qcSfHDTmm6uOQJJztxi59XgLSiXCgvxihnWo3V0i1cjZEo1F8/vnn6OjowOrVqzF58uQB7eX5SeU1lbA8Pwm7ILHTb/g33wX09wVZ9JC/Z0CeBDbBdwh9PmEwPBKJpBVS5P6c5kf5fpDrfSa3sSwLp06dUu8jXV1d6OjoQFlZWZr9pW6F6dQuueYebPBe4vsaAwmDpb7mOxf9u3m9+GxJf2y90GMmJbVRYRsYDC8Y4toAAPD222/j7NmzAK4XOPrXf/1X+Hy+tEgnJ1Yz4BsYDH/weTfE9dDGvHnz0N7erhaAjz76KLq6uuD3+1FVVaWq28u0T5kGmyvBR3UMyUHugwQyVTGEtAaheoYqa6lIcwIJYNleXd2cC6lJX2qquEk6k7SWiyaq0WX7dB9lO4UXF69yDpUL+WwFMO3AxZdUmtsVrRxMTJw4EdXV1ejt7YXX68WyZcvy2o8eDMiEfPoKGDq+3jcafX19eOutt1QRwHA4jPvuu+9mN6soCIfDaYGTjo6OAUE4v9+PadOmYeTIkQCuPxczZsxQxCBwnSw7d+5cQSrp8vLym1YQ0+fzYfz48YOybzmeeTweLFy4EF999RVSqRTKysoKtt8pLy9HY2MjLl68CABYvXp11m127dqF9vZ2WJaFy5cv4/jx4wUp5nMB7ykqfaUlCO89t176VJNKOw5JFksLjXzAoKkkmVloTw+WfvbZZzhx4gQsy8Inn3ySpqTnXCJJZlpy0c5BDwTTMxvIbczm+XO+5Bzt8XgU4czix/I8CVkTww4UU+mWIdnea3Wf62wgsc73Zl7TcePG4cSJE8rrmoEmOytNSfzbkdnJZDJNaHAj3stp30VSeTDV19wvxQN872M/8P5iv6VSKXVf872TAjq7IIbxwjYwuPVhiGsDABignGJapR71NjAwuH3ARdRwUewNR6xcuRKjRo1CR0cHpk6dCp/Pp8gFLnLo0xmNRtN8qLkYyKWIXTweH0BOS/9KLnBl+qe0KKESUiefdXB7/k2Q6GYaqVPbuXihOhyAIs2j0ahqK9BPrktPa1m4yu/3q3bIlGf2K8+R3owkO1jYiufL37oFrxVVQ+wX9oM89xtB1Pp8PmzatAkdHR2oqKhwJAtIsLtt041URw8l9PT04OrVqxg1alTRfH67urrSPJBJEA4HTJo0CTU1Neju7kZJSQnuuecefPjhh+oZue+++zBr1ixbsmn8+PFKqen3+2+YtUex8dNPP2HHjh0oKSnBL3/5S4wdO7Zo+/Z4PHjooYfw5ZdfwuPxYP369ZgwYQIaGhrQ1dWF8ePHpwURLcvC6dOn0dXVhZkzZ7qyFfN4PHj88cfR3t4Ov9/vygOeYz7nrFwCX4WCNhTAwIwQnWR2shIh9KCnDr1ocL5jotyP0/yoB33s5hIpWOJ4bqcI1xXqkhx2IuL186Oalr+npRgzswgZdOacnC34zbme7yhuMgmz+VzLc5fzPMFsqEcffRR79uxBb28vlixZktWSTZLY+h/2rayr4aTcdqvidoMbqb5mkchoNIozZ87g66+/RlVVFR599NG0wApJaPqM856RftlO/thGhW1gcOvCeFwbAAAOHTqETz75BB6PBxMmTMAzzzxjBm4Dg9scJA5vpF+sQWGQBQt1klW37CAhG41GXZEOdl6SVI/Rq5IqKS6y5AKRCjAnWxAuQLjIlL8h+Z0LKeq0aKZHJBXVbL9OeNHrkt7d8phSqc3FkgwUkFRn8Up9od7c3IyPPvoIqVQKDzzwAKZMmTKgnbLfSPSHw2Gl/NNTwltaWvD555/D7/djw4YNrovQ6T6khYAKt2wkze2Oa9eu4c0331R2NC+88EJRimgmEgn8v//3/9DT04OSkhLce++9N00ZPBiwLAs9PT0oKytTY0JTUxMqKipQW1ubcduuri6cP38eDQ0NaGhocHWsL774AidPnkR5eTmeffbZm1pIMBqN4ve//70iUkeOHInXXnvtprXnhx9+wE8//YR4PI6qqiq8+uqrKC0txZUrVxCLxdDY2DhgnO/s7MTOnTtRXl6OZcuWobu7G2+99RYikQhmzZqFdevWDThOPB7H5s2b0draiokTJ2L9+vVmfZIHpCL6zJkz+PjjjwEA9fX1ePnllwFAZQxJv20Z6AYw4N+5HJ9zphuQHKWSme33+XxpCmw3XtTMqAqFQq7eeTj32+1bEqV8F6HdhSQ9qcKWhc6dCj5nA8lx1t2QavhsfwCkkbduiO5M/XIjvK/D4TD+z//5P+p9Z/LkyXjhhRdcbSttRXR/bCqy7bYxXtgGBkMfRnFtAACYO3cuJk2ahEgkgpEjR5rB2sDAIGc1rsHNB9VoiURCKYK5gPL7/QgGg4hEIkgmkwiHw0qxkk2BxDRkaRFCpbL0iAaQppyiyjqTLYjdokFXVkl1tASVNyRxpRJZEvfy/OQ97URaE16vF7FYLC1F164IFAMF9LAmga1bhRAfffSRynT69NNP8b/+1/8a0DfsU6qs5HnopLVlWXjnnXeU3+/mzZsVGZENhfiq6rBTnxkMxOHDh9W1isViOH78OBYvXlzwfktLS/HSSy/h7NmzqK6uxqhRowre51CCx+NJ83UuLS3FhAkTXG1bVVWFuXPnuj5WU1MTjh07hmg0ir6+PnzzzTdYv359zm2+lZFMJvHdd9/hwoULmDNnDhYuXKi+O3bsmBqHYrEYOjs7cezYMezevRsA0NjYiCeffFL9PpFI4K9//asKqly7dg2RSAQdHR0AgCNHjmDBggWor69Pa4PP58Ozzz6bta0dHR3o6enBmDFjbkgRx0JRiC1IrgiHwzhz5gxqamowZswYTJ8+HePGjUNXVxcaGhrUvML5i7ZftNcgGUjCVhKiDFRnOxe7GgyZiG85x0kSW5/X9fcSO1BNS9uybGtcEuV8h5FktbRN4b7tjk9lr7SkYMZarmtsZnXpCmo3+7EjsnOxKtH/MKghi3Lnor6WGXBOZLvMArcsC+3t7a73zzZm88fWFdlGhW1gMPRhiGsDhfLycpSXl9/sZhgYGAwR6LYSBrcGSF7T/oLqX760Sx9J6bWZKQWbpDQXa1wEkLTmApKQhK2TLQgXCLQR4QJIt+WQ4OKaXtG0/gAwYPHIhS1TR5k5QOW5tEuxaxt/I8+Hiif2QTQaVeQ8F6lU9TgRuJLkZx/Zgap1Kkv1tkhwEUqwwNpg4na1+CgEbW1t2Lx5s/KgZoDJjQLYLfx+P6ZPn160/d2u0O/tm32vBwIBrFq1Ctu3b0dpaSl+8YtfDPoxqaq2LAstLS1oaWnBhg0bAFy3bunq6lL1CqqqqrB//36lhm1qalKkInDdf116lDc3Nw9Qyef7nnHkyBFs2bIFAFBTU4Pnn39+UC3OOOYzw4TvSrkE7fRxXNpTFfNei8Vi+OMf/4je3l6Ulpbivvvuw7x58xAIBFBbW5umqtbbx3lEV+xKAlQPfLpVYycSCVy9ehXV1dVZM74YuE0mk/jb3/6GtrY2zJkzBw899JAiGZlJ5XQPUamtZ3M5ge9HzAAj0cl3AGaXZbIq4fuS7JN8ij6yRkk+cKOkZtv4t51NiU5wE1IRb3esTCpwuY38d0NDA8aNG6esrvKt0yD3LdvCAIR8X5NktvHCNjAYmjDEtYGBgYGBLfjSZ4jrWw8koVlwkIswuXCgVUgsFlNEsZ1yiL/hgk0WMpQLdrkgkWSxrk7mooG/CQaDAKAIdn1BL/0V2f5EIqHU40B/YSu7Ik6SwCYxblmWIg7D4XDaokSmwkoCWiqLuKChjQjQ7/+dLRXa6/Xi/vvvx5dffgnLsrBq1SpHJTr7JRO4CJ41axaOHj0Ky7KwfPnyjNtwu1w8t3MBvUntFrqZMNzJ8A8++ECpx6gWnj17Nu64446b3LKBOH/+PL777juMGDECDzzwwG1nGTVu3DhMmjQJ586dQygUwt13332zm4SFCxemqZ7t0NzcjE8//RQlJSX4xS9+UVBBxatXr6Y9jydOnFD/vvfee1FXV4fOzk4sWLAAPp8PI0aMQG9vrxpfZTC0oqIC5eXlqoDgnDlzMG/ePLz11lsIh8OYO3du3m398ccf1djf0dGBa9euFVxIkuMj7Z4kmEUknwkSzzqRq9snOY270srLDZgtlS1j5urVq8qbOJlM4uDBg5g/f35a0UKd5CdZyTZTdSrPn6ps1kFxIjbtEIvF8Kc//UlZQTz11FMYPXp0xm0sy8I///lPXLhwAZZl4cCBA5gzZw7uuOMOFcCWRah10M6DNS6cjsF+4jWi17YkP92Q1jymFIAwIywXBS+3HexaM25U3HZENuf5bO8SkkSW5+9kVfLcc8+htbU1rahloZBt0P2x9UKPVFsbFbaBwdCBIa4NDAwMDBxBCwRToPHWgySv5WKO5CyLNXLRSfsQ3daD6bUkZUlaUwlMJTfBl36S2byHqK7mAp/7i8ViA4pcAdcXSdKWgwWTeD6STODCVffRpAorkUgoT2uS3uyHYDCovufxSfbLz7hQY4os06olnNKlSVawbfPmzcPs2bPVIpbnYJdynYkIkOe6bt06LFmyBCUlJRmLnvGaF2oRkqldukq8GPscDpB9Xlpaiscee0wFboYSwuEwPvjgA4TDYbS0tCCVSuHRRx+92c26ofB4PLfcOVuWhffeew+9vb0ArlsGvf7663nvb8mSJThz5ox6LmVWpsfjGeCf/vjjj2Pr1q2IRqO455570uYFr9eLX//61zh9+jRCoZAK1hTDp7uurg5tbW1q7HRT9DEbOK46jZOcz1iIl3ObnQWIrPlgR/DlYhvCucStjVtNTU2aP7Qkep3ATB8WFWYgl+8UzHbiufMdwO/3q8CEnM9IbvJd48KFC+ju7lbn8NNPP+Hpp59W+2EfSUIcQFoWFAlk7lfO407qa34m+1onq0lcUqEtVba5kNZ6f1IYIItZuwF/O9gkqZNthySqgYFEM9vGZ0B/f3SzTyerkurqavWeppPbxegP3ucM/vNekGIMWQjS7/cbFbaBwU2EIa4NDAwMDBxxI30YDYoPaRvCRSU/068tX8rlghy4vkgNBoMDlNbRaFQtMKWKmwsyLo65qCktLVW+z7T6IEhmM0VTXzDyN/ybpCgXMiSzmdZLcKEq1Wncr1RDyX1TYS5JVBLlssiSTrjr4L6kwk4ueCVpzXZIgsMN9N9VV1enFeGyQ7EKMUrINns8ngH9N5jq7lsJDz30ED788EOkUincddddQ5K0BqCIT+D6/dLW1nYTW1N8cCzIZI80FHH27Fk0Nzdj+vTpjopi+ZzlouC1wx133IHnnnsOX3/9NYLBIB544IGMvw+FQspKxA4+nw8zZswoqE12ePDBB+Hz+XDlyhVMmzatqIH2bOOWJG3tfu803krvZN23mWBWVDwez0h865D7KSsrw8aNG7Fnzx7U19dj4cKFyt6FAWw71TUA5XMdj8fTsrLk+wF/w335fL60ADUhScERI0aoQHRpaSlqa2sHWIzIcydWrVqFCxcuIB6Po76+HmPHjlW1OkiYMjvLSX3N9xHO35z/ScTr7xzS5zof0hro97fmeZHcd7MP2pAVAvZpJl9p+T4l/0ihAZCZMKaPuB48GAyrEjultl37c7lOJOIJGXiR/th8h6TYw6iwDQxuDDzWcJe3GBgYGBjkDRKBgUDgZjfFoADQq1H6MOvKaKC/+rpcLFJVwsUISWudmLSs637WJIW4D6lCkwt4p5d9LpL1Ioj8XFqRcEEjVW9sM5VYXEgzLZr7kOonAGnWJ9JyRKqvgPQCkE7gfuRvZWq5JMEJqryzEeJOsCO8b4b1hrwuwxk9PT1499130dPTg7vuugsrVqxwtR0X4vkUkNu9ezf279+PxsZGrFu3rmhF6L799lscPHgQ5eXlePrpp1FWVqa8ZIHrhPtw8c0Oh8P4y1/+gkgkgurqavzqV7+6JQjs48eP47PPPkM0GkUoFMILL7yAESNGDPjd9u3b8dNPPwG4TvSdPXsWLS0tmDZtGtatW5cXsdLe3o4vvvgCHo8HDz30EKqrqws9nbyRSCTQ1taG6urqtMDPwYMH8fXXXyORSKCyshIvv/yya1VrsaDbYgGwtQ/hb90EQAnOo0BhBXVPnTqFnTt3ora2Fvfffz9CoRDi8XhWj2jOv4Q+PwP9xXlJDtvVt+D8evjwYezZsweNjY247777bI8r53qSxZIs1Oc3aU8jLb/4PqAr1fmd0zlLZS0tRnIdK+i/zXoY0q4k2/3JvrLra4lMJK9O9kov6UJI3kxtIdGbqSh3ocewO79M553tD3+X7ZhU5lNkoAsFjArbwGDwYBTXBgYGBgaOYPVwg1sbXGxR4cSXb5/Ph0AgoArsUOEkFbJUYHPxJ0ldqcgC+glZkuJ8wedLfTZlCo+vf59KpdQxSEizvfRTlkQwFdZMh47H42oRzXtaFjDkwlBuQ9JZP2f5PMg2SD9sLmrYx+xTKsEIqq9k3+vkvlulsh1RPBjkcTYyXC4YhzO+/PJLXL58GcD1VPcZM2Zg5MiRWbejaitXNDc344cffkA0GkVHRweqqqpck+WZcPXqVVVUr6+vD1u2bMHjjz+OX/3qV7hy5QrKy8uL5jE6FPDTTz+ho6NDZVYcP34cc+bMudnNyooTJ06o8SUWi6GlpcWWuF6xYgXuuusueDwe7N69G2fPnkUymcTPP/+MKVOmYPLkyTkf+6233kJnZycA4O23387J3qOnpwdnz55FbW0txowZk/OxJVhokPPVxo0blfJ83759apyORCJoa2vDqFGjCjpeJpC0siu0GwqF1Lwhx3vdPoHnYbdvBgA5H+g2WE6BSvm3Toh3dXXh008/RTgcxqVLl+D1erFu3TqlCE4mk7Z1LgAoApJkrp3dBS07OI9FIpE08loGhefNm4c5c+aoLCy7eZVzvSwoXVpaisrKSkUiyuwtaUdGawdJuHPcle8smQhGztk813wDXCRHaZlCAUE21TWtS+wIafl/eQzel3YE9Y0ArxH7Tqqvi3mMwVJxy/3b/eF9ILMleF09nv4aKfq7LgMu5eXlhtQ2MMgThrg2MDAwMHCEXECYl61bG5K8ljYhvK5cQEoFmPydrvKiQpmLRf4eSE+X5mdORZMkuB+5QCSZLElcHpd/y3uT/tX8TJLWcp86eBzLstRCPpNVDheUVP1JchuAUt1wgax7gXNxx2PrBAcDCm5g186mpiZs374dtbW1WLNmTdHUh8FgMI3013G7WAvpAT39//T53rp1K44dO4bGxkY88sgjeS/gu7u71f2fTCbR0dEx4DdXr17FRx99hFQqhfXr12Ps2LFZ96tfL/mMZSuYdqsgFovh559/ht/vV0EmkkK3gtoaAKZPn45Tp04pW6RMJLAck3g9ZbG9XCG3y/Ts6+jr68Of/vQn9PX1wefz4eGHHy5IuX/mzBl0d3ersXLXrl1Yv349AKCxsRGtra1qPqiqqsr7OG6QybbDqY/cBhf1+QBwp7KWRJ0duru71XfJZBJtbW1K9c25KRPRyHmRQR9mFcl5jdlMzOYieQ1AqbHl+yTndgnug8ptvpdIIlsW0CN5SAsxea8zCMAaE/y/x+NR1h+Z3kv4PlDoOMH3hXg8nlYwm4IAJ3JV9pv8w353oxa+GeA7DC1kBkt9na0N8u9MyKTczmZVIrMh+Fsppuju7sZf/vIXJJNJ1NTU4JVXXikqkW9gcLvAENcGBgYGBo7gS1m+qe0GQwuSvAaQ5vkMQClEpHLYDkx/5mKQoNJYqk1ICGcr8ilVV/J3tPaQJAEX8bodh0zd1H2wAagUVq/Xm6aKI2EtVTOZzl8em+cnFXCSsCZIZEoluiQ4ZP/QK9It9HaGw2G899576Ovrw/nz5xGPx/Hggw+63p8d2Ld2pMhge1hLpWImpFIpdHZ2ory8XNmyDBbWrl2Lf/zjH0gkEpg8eTIaGhrSvk8mkzh9+jQOHjyIWCyGkydPYvfu3Vi6dGlex5s0aRKqq6vR19cHr9eLZcuWDfjN5s2blTL2/fffx7/+679m3W9DQwOmTJmCU6dOwe/34/7778+rffmgu7sb+/btQ1VVFebNmzdoRYDffPNNtLa2wuv1YurUqZgwYQIuX76MSZMmYeLEidi6dSs6OzuxcuXKAddxMGFZFr777jucOnUK06dPx8qVKx1JlmnTpiEYDKK5uRnTpk1zZdexdOlSnDx5ErFYDNXV1Zg2bVpe7ZwzZw4OHz4MAFiwYIHr7VpaWhTBGY1GcejQoYKI66qqKjX3lJaWpmU43HvvvSgrK0NbWxuWLl2KUCiU93HcINf6H8x00m2u9BoItJLQA8uyNoLcjlZZ/NyufVR9jh49WhW8A4Dly5cDgFJJM1vKiWhkmwOBgMquou+1/uyyuGMkElEBWLs+YwFIgoWf5XkQJBFp+SHtGuS5y7mYJKLsf861VD6TSJaQRSfzefeVx2e/8dzD4bD6PwPwOhEKXA+42dmt3EoYbPV1sZCLKt0p0CDf/+T9+O2336K7uxvA9fdSjvcGBga5wRDXBgYGBgYZYYjr4QVJXst0Vb5ou1mMS/UXt3NS1FA9FYlE0pQpOqRFiCSanfxBuYDW04DZPiqbmOrLBa++cKKqywlSISZ/S+9sXeUm20aFFRV0utJd+p+S7I9Go1nteZzsOrhIvHz5cpqyjpYW+YLtlKnisi2DXXjRibBOpVL461//is7OTkyfPh0tLS3o7OyEx+PB008/nbdVgBsf89raWvzLv/xLxrFRKl6TyST6+vryag9wPWNh06ZN6OjoQGVlpS0xL9ssAzeZ4PF4sGHDBliWhQMHDuDzzz/HlClTMH/+fHzxxRdob2/HqlWrMGXKlLzbTruIuro6peJOJBL4y1/+gu7ubvh8Ply9ehXr1q3L+xjEkSNHcPz4cUybNg2zZ89GPB5Hd3e3Um5evHgxjdD/6KOPcPz4cSSTSTQ1NeH11193DHp0dnbi5MmTGDVqFMaNG1dwW3/++Wfs2bMH8XgcXV1daGhoSCOXe3t70d3djfr6epSUlGD8+PEYP3686/1XVFTg9ddfV16/dvdCtoAiANx///1YsGABPB6PKzscoq6uTj0bfr8fEydOdL2tHcaMGYM1a9bgwIEDaGxsxJIlS9R3Xq9XEbGFoKOjAx999BFisRgefPBBx+uca2aJzEriPGdXTJjkKkFrCWlzwQAs9ydrP8j2UZkrSdvXX38dLS0t8Pl8qKioSCOpSTCSWKe6X2ZSUekcCoUQiURU8FcnnAk55/HvUCik5mOZVSSzkOxAEpn75PuBPv/ofuC6gj0Siajz5fZ6UT72C4lvvV3ZVLnyWvDYUgjCdxf6d+vgd7cyaU1I9TXvrxutvi4mcrUqqaqqSisEXlZWNthNNDAYljDEtYGBgYFBRug+jga3PugLrRdT4iI4m7JVgmqnTArXbOomtgWAWkBSySz3wd8wfZfbyer1krRmSjEXSyweSXWZHfnAc+dClZYCJAJCoZDyqtb7iQsyLoa5ja6E40LX4/EoVZpTe+ygH1eeeyKRQF1dHcrLy9Ux8lX5su1SgW53TjcLW7ZsQUtLCyzLUopQkrc//PADnnzySVf70QMKbn39s6nxpk+fjl27dqGnpwc+nw+LFy92td++vj5cuHABtbW18Hq9OH78OMaMGYMJEyagtrbWcbsVK1bghx9+AAAsWbIkJ2LgwoUL+OabbxCNRnH58mUcP34cLS0tSKVS+PTTT/Hyyy+joqLC9f7kudAuwu/34+GHH8a0adPSLB/i8TjOnj2b8751nDt3Dl9++SWi0SjOnTuHUCiEESNGKKLQ6/UOsNi4fPmymt8sy0Jvb6/tWNbb24s///nP6OvrQyAQwAMPPIBZs2YV1N7Ozs40KyGq5YHrVj+bN2+GZVmoqKjAiy++mJfdDwOHOlKpFN555x20tLQgFArhueeeQ3l5ueN+Mt13TqiqqsIzzzyDAwcOYMyYMUXxEr/zzjtx5513FrwfJ7z33nu4evUqgP6shWKSh9J+TYdTlo1eGFFCzok6aOkhie1kMomGhoY0KywSwCSw6RtdUlKiSF7OtyRzOXdJRT2JZ+5TzumSvJX2YvwMQMaxVKqtpUJdWoOxX2VtDdqLyL5in/KcZQCfPtzSUoiBgky+0tKCRBKb4XAYwWAwLRDADC8G9O2K+dl5iN/quFXU18UCr+n999+P9vZ2tLS04K7Vr7hyAAEAAElEQVS77ipK0NPA4HbE8BoRDQwMDAyKjmyKVINbE1ywkYjkAssNIWmnoqJfoxNZJu1F5IKMi2v6Z5aUlCgVV7Y2MJWXRQ65uCU5rhdD5D6pbpaFnfR9U2XF+5/WJ1SZSdB2JJFIKGW5vl9Z3Er6gMrfOfV9NqsMttfj8aCnpwfvvPMOent7MXnyZKxcuXKASpIKKBL4TtCPZ0eSULV2oyD7Vg+ysJ+8Xq8rKwU7FJOQ9/l82LRpk3q23BBg4XAYf/zjHxEOh9WiPhqNuiJLFy5ciNmzZwPo9zkmzp07h8uXL2PatGmoqakZsG1bW1ta8b/Ozs60693X15cXcX3p0iU1zkQiERw6dAjTpk1DVVWV8nH3+XyYMWNGzvvW0dLSos4hGo3izJkz+Pnnn1VfLliwAPfee2/aNosWLcJ3332HVCqFqqoqx/vm0qVLaUVojx49WjBxPW/ePBw4cACJRAI+ny9tfzt27FBWQpZl4eLFiwUrliVOnz6N5uZmRSJt3749b8X71atXcfr0aYwbNw6NjY1p340aNQoPPPBAMZp8QyDnHRKlxSSuE4kErl27hmAwqAq16WOO3+9PU/va2YDowVo5juv7lDZY8n1OEr7SIoufc5+SOM9kYaUT0myrXsDSyUaLxLCc76RnMMlhqQKX7xu61QbQH2yVhS71tjQ3N+Ojjz6CZVl48MEHMWnSJJVhJPtHLyydLTDoZF/CIH4wGFTnrtf1GK5Zjnz3kLZtTgVBhwt8Ph9+9atf3exmGBjc8jDEtYGBgYFBRlAh6ibt3ODWARdglmXhD3/4A7q6uuDz+fD888+jsrJS/Y7pxlxEyarp0reRi1b+1s4yhESVTOWVRZPYJjtCkoQ0CWouoKm44gKX5DtVTfr2QL9/pRNI5uu+2nYkg1R8SR9SguS0VGizHfQJzYZsZCoV6CwGSGuQM2fODFBbU22fKTCgExyZMNikNe8JWWSOuOeee9Dc3IxoNIpx48Zh4sSJ2L17NxoaGnD33Xdn3a8efBkMeDyenFKDm5qaEIlE1PPE5ygajeLEiRNZyVKdsAauW1Js2bIF0WgUu3btwqZNmwaQ0NOmTcOOHTvUs7169Wp8++23AK6rbevq6lyfg4RuFzFhwgQA15+LF198EUePHkVFRUVBViTE9OnT8dNPPylrDNoZAEjLzpC48847MXbsWPT29mL8+PGOJOWoUaNUcM3v9zu2N5cU/8rKSrz22mvo6OjAiBEj0sir2tpanDt3To2PxS42qPsI56vubGtrw9///neEw2EEAgE8/vjjuOOOO4rVzBuO1atXY+vWrQCue3tLhXE2ZAswxmIxlX3g8Xjw5JNPqgKqekCOcyDnSjnX6p7SDKhyDtCPT09q6fcs50MGlmjnIOdxGdymBRbbKuc1SfBKgtbOXkrPcJG2Vuw/pz60I8fzuRYSH374Ibq6ugAAn3zyCf73//7faf3Ld5ZciWR530ibEI4P7GdddS2D5sMVVMvH4/HbQn1tYGBQOAxxbWBgYGCQEbrqxGB4gNf09OnTaGtrQyKRQDgcxo8//ogHHnjAkYBm2rBU68rFJ1NwJdlN6JYhQH8BIhYulEUauW+mJevEMT8jmc3CkrxX2VbgupLVbtFLtbadSo1gmrRchHIxz7+dFtSyj0gYkAzIFyRzqQRnf0nPb/343E4SIE4gcZBrAbLBQKbjV1dX49/+7d/UPQfAtY2AHXEyFFBbW6uuqfSjDwQCeRfXO3bsmFIix+NxtLS0YOrUqWm/qaiowCuvvIKrV6+itrYWZWVlmDp1Kvr6+jBy5Mi8VafV1dV45plnsH//fowdOzbNLiIYDBbV9qGmpgYvvfQSWlpaMHr0aEQiEfz000/Kg9dJseymIGNlZSV+9atf4ciRIxg9erTttfjiiy9w7NgxeL1ePP744wPUx3bw+Xyor68f8Pnq1avVtVqyZElO3tJuMHHiRMyYMQOnTp1CWVkZjh07huPHj2P9+vU5+WhfvHhRKcOj0ShOnjw5KMT1iRMnsHfvXjQ2NmYsYlko5s6diylTpiCZTKKtrQ3//u//jlQqhVWrVmHhwoUZtyU5KZXLQP9ccvHiRfT09Cgi98cff8RTTz1lqwYGoEhiFiJk4JZEH+c2znUcM2gNomfI8DseXxYpjEajSCQSar+sDcECxJwjZSFiqX7mHChJaqmupg2J9OeW/SZV3gyk6Blcbn2lpVWHVEjrxajZB7oiXL+3ZAZWIdBJfRLWMiAm2zncwcyz20l9bWBgkD+G/6hoYGBgYFAwZGERg+EBLrJZVInEMdWhmcg8aXVBQkwWgKLimZ7P8r6RliEkXrlgpeejhCzkIxf30lJEKmep7OYiUy6edV9N+k06kZe877mgl4RAMBhMW4TTfkQnjtnPToUmcwEXdiSgWciR7Y9Go1i7di2uXr2KaDSKSZMmYfTo0arolxNBokP6h0swkJHpPEi2jRgxIk25XwzoRHoymVSkmWy7kzreDkOJtAauk6+//OUvFdE7YcIE5XGdr1XEtGnTcOHCBUSjUfh8PseilcFgMI20LCsrK0ohqVGjRuHBBx8seD9uUFlZqe67yspKPPnkkzh69CjuuOOOvIl/oq6uDmvWrLH9rqurC8ePH1fj15dffomXX34572OVlpYOqsWGx+PBww8/DAD4j//4D/T09AC4rj793e9+53o/jY2Nyqc/EAgURTmvo7W1FZ999hkikQiam5vh8/ny9u13g1AoBAD4y1/+ogqq/vDDD5g/f35GQlEfX/Wxpbq6Ws2FpaWlqK+vT1Mzc46hIpdzkwzc0leaxDKJPs7hkhjlnCMLOZaVlalMH0mcMhuKpCnV12yDfj4ky3k+sm6Dbj3CeYv/ltAtSvg7ztuSoOZv5B/dV9qJ9KSVl11RwPXr1+Pjjz8GANx7770Dvi8pKXFd90A/ptyXnL9IztNiTaquh6tNiBN09bUUHBgYGBgQZlQwMDAwMMiKoaC8NCg+vF4vJkyYgEWLFuHgwYNobGzE6tWr1aKRBZxYVMduUShV1HIBDUD52lJtxYUlF8lAvz80gAGLQ0lAA+n+miRWpTKYCx4unrm4B9LVTmwnSXfds1mqqUni8tgkGGQKdUlJSdr+gP5CRG7tQLKhtLRULepZ6AnoJwK42K2rq8Mbb7yhAk2yMJZb2BXOkteou7sbwWBwQNG3WCyGP/7xj+jr61Oq00IKEdH2gn3tNAbx2lLteKuPV+PHj08jkFesWFHQ/ubOnYuysjK0tLRg5syZRQ8oDGU0Nja6Uj5LyHHCLWgpQbS1teHixYu3RCEu+ay4ycY4f/48PB4Pxo8fj7q6Ojz77LM4deoU7rjjjkE53/b29jS/5ZaWlqIfIxs41ucKOe/U1tbigQcewJ49ezBu3Djce++9imymFQUJa2nlBfSToJw/OT9L/3zOwxzzST4Tcr9UUjNTiPOLnBOldQeAtAwQ2pMwgM0xmkFa+SxISxF9jpe/Y8CRbeS/JdmcrxpX9p+OOXPmYNasWUpFroPzSaFZh7r9mM/nQzgcVsEDzl3D3SbEDrr6WgZlDAwMDADAYw01qYmBgYGBwZADCwTZ+aca3Lqg8lkWSePCjddcqqh0EpuKKL/fn1ZIyi5lmr/j/klc0yZE9+aU1iDcr4RsE0nbQCAwwIqDim07X2tdlStV4zJtVS/IyIW/XSFJLrTs1Nf83I5ItiwLBw4cQFtbG+666660Anoej0cR/LTFYF/Sczybwpj9RNWeJL/dwrIsvP3228pDWyemz5w5gw8++ED189SpU/HEE0/Y7mvbtm3Yu3cvQqEQnn766aJ5+A41649ccf78eXz33XcYMWIEHnjggQHBAYPBxbFjx/Dll1/Csizcc889mD9/vuttDxw4gM8//1z9v7KyEv/yL/8yGM0sKg4ePIivv/4aALKe8/vvv49z584BuK7kX79+/aC3LxqN4g9/+IPyGn7iiSdyDkbkir6+PvzXf/2XGiM9Hg/uvvvujEpvZrZkgrSw4tgtwbk0FoupuYvzH8d8zjEcw+Xcykwnvq/JWg/0yyZBzLHFLhuIhDGLIPN4Uils50UtbazczEecQ9m2WCyWFoAuFgp9h9Xfj9xAvl8B/deLin4AynItEAggHA4PsDi7HWH3nmMIbAMDg9t3VDQwMDAwcI1iKU4Mhhbonwn0+zZzYUYVMdVSJJaZeky7CumzSVKbiw65UAb6i07xGKlUCocPH0Zvby9mzJihiGKfz6cWfWwnwbR0uRjnPSltQ6hiIgmgKwnZfvl/tpM+n3ZFHi3LUgtLnfyVxIW0J3n33XfR2tqKsWPH4rHHHrO13Pnhhx9UYbmjR4/i1VdfRUVFhVLOUYlExR3V7FKRR9gR8lKJLM8pF7S2tqKlpUUR9V9//TVeeOEFdUw9Fd7JO7i9vR27d+9GJBJBX18fPv/8czzzzDMA0gl2uzZmI6ZlgTCSH/mked8MhMNhfPDBBwiHw7h06RKSySQee+yxm92sYY0rV67giy++QElJCdavX4+vvvpK2c98++23mDdvnus5b968efjmm2/U83GrBFDmzZuH2bNnA4AjMdfT04OvvvoKJ0+eVGPpqVOnbkj7AoEAXn75ZVy6dAk1NTVFL1Rpl6Fx7dq1ATUPDh48iKVLlzpmdMjsHs5l+lgr5yNZUJhqXJlJw3GQhCmzd7hvr9ebZh0i7ao4F1EBDfSrxmXGkby3dYU350gek/tysteSimY7Qpt9FgqFFHnOPuD+SV7LYxYDhb67FsPnmn0m28K5mdldtGy7nSGt6Iz62sDAgDDEtYGBgYFBVnBBYojr4QVeUyqpnHye/X6/IpOZJkyil4ohqcQm8Su/k1YPJFG/+uorHDp0CMlkErt378amTZvU91RQezyeNB9pqQwLBAKKCOD5SJ/ISCSStsCWi2epFpOfk0TgufE3tC0hgSy/I6Tajmq5H3/8ERcvXkQymcSZM2dw5MgRzJkzZ8DC/+zZs4pgTaVS6OjoUOowqegmmZ4JOoktgwiSoJfgM57JKkCq1TweDyorK9OIipEjR+Lhhx/G7t27MWbMGEeLC/0YJASkr7YTac17KZOykdsW6imeCe3t7YjH46ivry/amEg/XeD6OVy7dq3gfVqWhX379qGjowMLFy5EdXV1wfscTnjnnXeUv/M777yTRpTlel09Hg/uuecefPPNN/B4PIPqUQ30WzAUQ5WfjSx766230Nraqv7P5/9Gwe/3Y8KECTlvlynQZVkWWltbUVJSgtra2rTf1dfXK0so7ocqbzvvf73An07u8jf8TI5NnCN5v3Euph0HrUCkD7BUokrrEElO6ySotKrQ2yuPSzJZ1g/QbTzsxl9pLwJAEc+ykHNJSQkikUjau0I0GlXvIKy7kUgkBhShLAT5Wr0Q+fhc6+/Ldu/RDEww8GC33e0K6X0dDoeN+trA4DaHIa4NDAwMDFyBpJYp0Dh8wIWo9HTO9FuZ4syFN30vZWV4kthUCpPklTYZqVQKJ06cUIvBnp4exGIxhEKhNKWXJCml6l8ncHlfkqSlr7ZO+krohAP7QLcUIXGgF4py6ieS3wDSCG7+bWcXMnfuXFy7dg3xeBw+nw8jR45M+56LeqqQ5PWyI51DoZC6JtIf24m0BrL721ZWVmLt2rXYtm0bRowYgYceemhAX0ybNi1rEbza2lrMmjULR44cgc/nwwMPPOAqxZ5kzM1Wsu7cuRM//vgjAGDixIl49NFHi7LfkSNHora2Fq2trfB4PFi5cmXB+9y6dSsOHDiglPyvvfaasR/5/6ETiJFIBL/85S/x0UcfwbIsPPjggzmTJPPnz8e8efMA5O/H6waXLl3Cu+++i1QqhalTp+Lhhx8e1OPJoEpJSQnmzJmDu+++u6jHuNHe9J999hlOnjwJAFi8eHFaoC0QCOCll17CgQMH0NzcjMbGRixZsmTAPkik2dmE6D7PzGCSYEYI50HOWzKbJxqNqiCu9AGWhYulKlsGiXW1t92/Obay/cw20v2YGfR0ExDku4JuJyJtu0jUMjjNOY7no6uvC7m/nfyr3aJYWYd2hc4ZkGcANx6PK3uR2x1SCBGNRlWgzqxDDAxuPxji2sDAwMDAFZwUuQa3NriQcvJk1sFFJRfc9ISWC25JYpeUlMDv9yOVSqn985iNjY0q9TwYDKKioiJNpSYVuAAGEMASJAa44AUwQJmsL9ypdKOajOpt3usyjdvOj1SC+9G9OZctW4YjR46gq6sLtbW1WLBgwQCCo6SkBIsWLUJtbS06OjowdepURS5SgUZimuckSWu2VRbckinq9O7WPctlX7hdjM+ePVvZCuQD9tO6deuwdu1a18fNdO3dIplMYs+ePQiHw1i0aBHKy8vz2g9tToB+pTwDOIXA4/Fg48aNuHr1KsrKyoqiaD137py6b5PJJLq6ulBXV1fwfocDPB4P5s6di0OHDgEAlixZgnHjxhXsS10MAvnixYv48ccfUV9fj1WrVg0g3bZs2aLI5JMnT6KjoyPNF7/YmDVrFg4fPgzgunf9Qw89VPRjDAZp7TRepFIpnDx5Uj3He/fuHZAhUl5ePuAzqZjVyV074p0ZSwBs1c4kd0kGkximxzTnU0leMygci8VUcT+eqz6264FZ2Secm+XnnKf1QLP0+pb7k+csM6JYd4EkemlpqVKQy+wltpnEpAz6SsWtVJnng0IJZ3mubtvglMFmF7zw+XyIRqMoLS1VZP3tbhkiwYwDqcQ36msDg9sLhrg2MDAwMHAF6ZVoMHxAhY+d/2ImUMHExTVVYz6fL22hTsKUZDIXsyUlJXjsscfw008/IRKJYOHChUpNQzsIN0Q6F8AkbZk+75bglAUk+Tf7gV7S7B+et4T0qCSZL8nrQCCA3/72t0pR5aR49nq9mDZtWpqiTaZM6zYp8jowaCCtX2TKuPRNtTuHTOn0mZCPQlKeQ66LTrdtdGrXJ598ghMnTiCZTOLo0aP4zW9+k5dyq6KiQtlL0Fe2WPB6vRg1alTR9jd79mz8+OOPqrjbiBEjirbvwcD58+fR1taGqVOn3hArivvuuw8LFy6E1+sd1OPxGXSjpOzp6cF7772HcDiM8+fPI5lM4r777kv7jb6fYgROMuH+++/HnDlzYFlWUe/PmwWShSSuy8rKctreiZTUFca0rJKWF9KCQ85xDLoywCjHsFQqpYr3yZoLDKqS0JbzlwRrQ8gAqyz6yP2xtoX027Y7b5LP/IzBau5Ht/Di/MT5iMQ852oWpZQEPbd1UpnngmLYb+Tjc60f0ymzjf0qRQSGuE6HzCyIxWJGfW1gcJvBENcGBgYGBq4gC/kZDB/oJJ/bBR7JZ7nYJclLFZgskMiCjTwmF2rLly9XyivLsnDixAls3boV5eXlWL9+/QBVLIlC2mVwcSeJG1m0MNv5AulktdxOLtztyF69oBTTnEngk6i2W6hyES/7iGne/Jz9ykWa3bnIRb7eVjsPbrvzz1fFfCPT+jN5q+pwahe9xgEoFV+uhBUAPPHEE/jyyy8Ri8Vw//33D+lslGXLlmHUqFHo7u7GtGnTikqyFxsHDx7E1q1bEY1GsX37drzyyisIhUKDftzB9v3et28fvvvuOwDA0qVLsWzZMtvfNTU1KS9X6dN+6dKlAb9dv349Nm/ejL6+PixfvhwVFRWDdwL/P4YqYW1ZFg4fPoxLly5hwYIFjkVhJTweD5555hls2bJF2RVl+z3nB6fAmByjOS9xvJEkrlOg0O79yi47hipujjvMBpJKbVnYDugnRPk3g70y4Eww+GsHWeBXBkwl0czz57FlQJwqagYMSDpGIhG1r1gsNsAahNvFYjGl2nZLWOYSkM+EfHyudTi9R8vrQWWxUV3bQ/dBpy2NUV8bGAxvDN23VwMDAwODIYVcFbkGtwbkQjoXAi6VSg1Q+XFBwYUvlcJcKDO9k0psoH+xX1JSgnA4jA8++EAp0j788EP86le/AgC1UOW95+Q5SfJXB0l2nfgMhUIDfEaz9Rf7KBaLDVDX8W+58LcjXQOBQJqSWrdRsSP8JeyKVpH8dlID2nlhFwMHDx5UBek2bNiASZMm2f6OREMmb267bagi12FHAGVSj0+bNg2HDx9GIpFAWVlZ3qRoRUUFnnjiCfX/oUpaExMnTrzZTXCFI0eOqGBRIpHAlStX8irIN9Twww8/KKJu586dWLp06YA5dMeOHdi5cydSqRRqamoQCoWUF66dt3JlZSVeeumlG9L+oY49e/bg+++/RywWw7Fjx7Bp0yZX6vna2lps3LjR1TGkDYeb8ZOFGO0CwzpI2HJepMWWnjkj5xdZu4GWH5wveAwGTwEotTIDziw8GQgE1JxhV0OABLK0qJL2JlRvkzSntQfnM/aZJBgZ7GVfBgIBZZVBVXMikRjwfiHV17kQljy3Yiiuc/G55juVfg76ezQV6/IaksSW7zwG/dDV1+w/o742MBi+MMS1gYGBgYEr5OPxZ3BrQBZodEPCZQtgUBHGVGA95ViqjLlIlanGRFdXl9qfvoAjAS7vx2g0OoCY5oKV6iW/3z9ASZ3Nv9rj8SiFTyKRQCAQSLPkcCIy2Ga735B4IEmvK/rs+gPoJyNoX8JzTyQSab9nnyUSCbS0tKCzsxPTp08v+iLYsix8/fXX6nw+//xzW49gkibsy2g0qgIZJCx4P9gFA5yO7eYzYu3atZg4cSLC4TBmzJhx2xICN7oInltMnjwZly5dUiTbcPHilgScky/rgQMH1LjU3d2N559/Hp2dnaiurh5QqHUwYVkWvv32Wxw5cgSjR4/GL37xiyGt0geu+8xz7Esmk2htbR0U2xe3ASo9gyfbvEryVVpkkbjlvUNC2W4/JMmZpaMXNGQbpMe2LOYoPbZJDlP5DECN1TIzivUhZJBWtynh/zlXsyYGbW5oiRGLxRAMBpWimoFknpPetyS/3RKWxRJbFOMdWAoF2CYGK0jGMmON7xjmfdsZRn1tYHD7YGi/iRgYGBgYDCkY4np4Qla6d0No8bfZFgdcZEoFEf9NAockNvc5fvx4XLhwAZZlYc2aNep4TKHnQpYLVS6gZVq0PD49oGmpQYI1GAwqH08nUoHn5/P5EIvFVN9Eo1GUlJQoclgWp+KCk4t+LtrZlmAwqPbBRT2VblLRZUda83zZNjsPUvYnieB9+/Zh69atSCQS+O6777Bp06ac/HDl+cliXZnAPiCJwnZLX1Sp/qPqnGp9y7LU/VJMeDweTJ06FcB1H+GvvvoKpaWlWLNmjboutwMGk7S+ePEidu3ahYaGBqxYsSInBdyiRYtQUVGBy5cvY968eXkXzxxqePzxx/HRRx/BsiysX7/e9jejR49GT0+PCrBVVVW5JqwjkQi++eYbxGIxrFmzpiAf8/Pnz2P//v2IRqPo6+vDjh07sHr16rz21dPTgxMnTqC2thZ33HFH3m3Khjlz5qCpqUlZTIwePXrQjpUN0kOaYxoDsxJybpTF5kjEMXApiW9+L4N70lJGZi/JuY6/o0UH51M578m5UlpxUZXNcToajcLj8Sg7CzmWJJPJtEBsMBhEKpVS+wLSvbqlrUgkEkEwGITf71eBZN0OTEInLO0ykOS5F4vI5Hzu5h3Y6bjyfQtA2v5IXvM9iaS+IWKdYdTXBga3BwxxbWBgYGDgGqZA4/AEfRdJIGeDXHRlA4sMUQkjCzlykUwlUzAYxJNPPonW1lb4/f4BxFUsFlPFpGRhKCdiQBLkANRCm4oyJ2JUV44x/Zr7Yx9wf9JzVG8viVvLspTSjISEVByzuCT3TZAMl6nV0mpFhyQwAGDv3r1p6u62tjbXxA4XzCQjnOw6HnjgAfzzn/+Ex+PBo48+qhTm0lPb6/UqX1Sej1yw68U4CyWtpceqHf72t7+hvb0dHo8Hly9fxgsvvFDQ8QyuK4VZVPDs2bNIJpO4++67XW/v8Xgwc+ZMzJw5M6fjus0UyRVuAzXZ0NDQgFdffTXjbzZs2IAffvgBp0+fhtfrxdGjRzF37lxX+3/33XfR3NwMy7LQ3NyMN954I2+iKxKJpClz+/r68t7Pn/70J/T09CAQCODee+/F/Pnz89pXNsycORNVVVW4du0aJk6cWDRfdKf7KlOAV9ZgAKAKJ9p5VVNVHY/HVdYJyVcqrKU6l8Ub5f5lBg7hNO7pRLY8R2kJwkAqcH0OkIWVaXEliyva9ZdUZZPk5rsAiXdaYdAqhd7VPM9oNKqKNdoRxbJPdJW5BDN9ioFi1HqRti/SJoSQ4w6V8kM962EowKivDQyGN8woaGBgYGDgGoPhj2tw8yGtQtwS124URyR3SSRQPeVUyJHWH2PGjFF+zdxOLoij0SiuXr2Kt99+G4lEAnfddZdSBcriVERvby++/fZbeL1eLF++XC10nSALYNHKhIpcEsOSoLAjrfXFUklJiWo7PUy5/bfffov9+/cjGAzi6aefVsXiuAgnMeH22aMa3rIsjBs3Dq2trUrR7bYQHckLeR5Ox58/fz5mzZqVZovCRST9TQGoayzJDhIl3FaSMoVAJ28k2WRZliLjLctCZ2en6/0OFkmaKwa7Hfnsv6OjQ/WxU1HBwcBg9UMxSGu3KC0tRSgUQkdHBxKJBLZu3Yr6+npXBRE7OjrSgmw60dXV1YU9e/aguroaCxYsyBh0nDJlCmpra9HV1QWfz4fly5fndT5XrlxRBF80GsWRI0cGjbgGgLFjx2Ls2LFF3aeTzUemcZhBSCqH5T0UCARUEV9J3gL9GSgc+2SWEElu1kTg/qPRKBKJhFIbkxxmkDNTJpGcT6Wyl8Q022s3r0nyGkBaFpHcP4sK0/KEiljdSoVtkOR1SUkJQqEQIpFIRvKafUdvbalel9exWFmCufhcZ1Jcy6KZevaarrom4W8I2Oww6msDg+ELQ1wbGBgYGLiGXBCZl+jhA5m26+b62hVm1MGFKxekOuwKOQJQiwzaa3DhpvtCfvLJJ+jp6QFwXVV81113oba2dsACxbIs/Pd//zeuXbsGr9eL5uZm24JcsjASAJWuTWU4VdJUkFF5xfRtCVqQyP4lKR8IBNKUZ1euXMG+ffsQDofR19eHL774As888wwAOBK40g81mUwqZTTTy7kQjsfjuOeee1BWVoa2tjYsWbJkgBpR2v9IspfEl5sMC6kqJ5gSLv/PdrOtVGT7fD6kUin88MMP+PHHH1FSUoInnniiqCn/kmwqLS1FY2MjLl68COB60Ua3yIUkHUxyOZ/9Dra39ejRo1FWVqYCP4sWLRq0Y+WCVCqF1tZWlJWVoaKioqB99fb2oqenB3V1dUW3zGKACbhOmnd0dLgirufMmYP9+/cDAMaMGZNGWsfjcfzlL39BT08PfD4frl27hrVr1zruq7S0FC+++CLC4XCa2jZX1NbWqv7x+/2YPHlyXvu52cjnOWNGkX5/cG71+/1IpVJpcwSDDTK4x+wgjpHSWqS0tDSNvJYBYWknxb/tCkTqZLe09Mh07mwP50Zuy+e+pKREzdk8TwaCpQ0KIdWxsv4B/x+LxdI+swO9ublvEvz6e0OhKIbPtVRt89rpoH2W9Cc3qmv3kJY7Rn1tYDA8YEZAAwMDAwPXsCssYzA8wKBENrgNXFBRlm2xJdVGJIilVycLTsnFrp2Cyk4dxnZIq4u2tjb1HZVgXPzTBzQajaoCWTweU5IlwU+1mwSLJOqqNhISVE4zFZpKbNm/3JYkAI8lbTa4H0ku8fdS5ef1erFs2TLH/iehIQlq9gsJ+B07dqC5uRkLFy5UBJROyjqRJPq1kCnqPF+q6nbs2KECGJ988kmavYIsNlkoLMvCE088gXPnzqGkpAS9vb3493//d3i9XvziF7/AuHHjCj4Gj1MIMhHf+ZDiuZDW+bTd5/PhpZdewsWLFzFixIgbWlTQCalUCm+++Sba29sBXLfkyJdEvXjxIt577z1YloXKykq88MILrsmkvXv3Yvv27QgEAnjyySdRU1Mz4DeLFy/GmTNn1HM9ceJEV/u+5557MH36dMRisQFe0l1dXerZjsfjOHfuXNb9eTwelJWVuTq2E8rLy/Hcc8/h4MGDaGhoyNn+5UahWMElPfCn26rRL5p2HCQ+af8E9NuKcJxnYWMSxSR/JYEt6wgwo4kBYZLHTnO1HEvZhra2NnR2dmLSpEmOHtOymCMzefh/qsTZfn6eSqVUe/U5E+jPFAgEAmoOlvUpIpGIqjPhFAzndWCRR6q3i/2+6tbn2um4vOcYZLATATBoz+C/UV3nDt6HDKzQc96orw0Mbk0Y4trAwMDAICfohWUMhgf0Ao1OizI3hRmpXLbzm9RBgjgUCqnFGlVgXCBLApu/37BhA9555x3EYjEsXbpULZT1xZ1lWairq0NLSws8Ho8irUj4koinuo1pwNwXCQO7fqD6iiBpTeUb0L9I5b5IzJJsqK6uxrx583Do0CH4/X48+OCD6pgkurkY57FICJAkkP0lj0kwdVZ6nALOClzu37Is7Ny5Ezt37kQ8HselS5fwwgsvYOTIkWr/VDbJPg+Hw8rPOxKJqAUkF+m6l7dd/9r5lOqp+9lS4u32SVVeKpXCxIkTYVkW/u///b8quPHxxx/jt7/9rav99fT04L333kNvby9WrVrl2pPYLTKd11CwK7GDnbo2Ho/jww8/xJUrVzB37ty8i/3lg6tXr+LatWvq3t+2bVvexPX27dvTLGaam5tdFR3s7e3F999/j0gkgt7eXnz88ce2nuoNDQ145ZVX0NHRgfr6+pyKqI4ZM8b28+rqaqViLS0txaxZs1zv0y0uXLiASCSCyZMnp80bI0eOxD333FP04xUTTnYguYKWBBzXObbRMkTaFAFIs76QGTqygLEdgc1ACcdHPeAov+ecoGfNyHZKHDlyBFu2bEEymURlZSVef/11W5sOzg3MHuK+ZBFBzuUyYMu2yEwcvc84d/CeZdA4GAwiHA6nZS45vVvIcV6f84qBQn2uGUxgxpHTuzSzufiuQdsVg9ygq69LS0szBj8MDAyGJgxxbWBgYGCQEwY73dzg5oCqlGzKazdBC6qwMimSSG5Lqwugf1Gnk9hcxFNxVl9fj9dffz1NuUvSWBZfjMfjeOaZZ3D69GmUlJRg0qRJaaS1TNfm+bM/SL7agW3i8Umoy8JK+sKd+9NVyffffz8efPBB1V/Sz1RP12d/UIUl08KldyhVYVTn2SmVnZ5jqvVCoRAuXbqkFumpVArt7e1oaGhQRLJOIEhFviSsuQ+p4JOp836/H6tWrcK2bdvg8/nwyCOPOPZ9tvbbgeOWvN5UtOmKd7f4+OOPlY/z1q1bMWnSpAEFRQ2AH374QSmJ9+zZg4kTJxZN1Z4N5eXl6v70er0FqcBra2tx4cIFZWNUWVnpajv9nsqUNVBWVlaw2lmC1h/Hjx9HZWUlJk2aVLR9A8C3336Lffv2IZVKoa6uDr/+9a9vOUKoWOS1tLQiOKdIApLzDgk0jvOSZJXjPIOxLOIIQFlWSTsOSQBLBTSAtHEPgPKPlqrgPXv2qDb09fWhqakJjY2NyqaDCnFpEUI4EbCcAzgfyQArADX/S3U2+4Y2IawjwT7yer22XtZ2x+U1cKpFkQ/c+Fxnu5f04sROYLBbBp9utedrKEDeh1TjZ7p/DAwMhh4McW1gYGBgkBOKUVXdYOiBRG4mqwcge2FGkp4s2GQHJ9KaoDJX9/xkIUefz5fmlWnnrSyV436/X/kYkwjWfah5/lRec792i0QWIJQLeUkSA0jz46RSnAoyCZ4P0K909nq9tv6y0kZFpodLBTLJEZJrJLazLaRl8cg///nP6O3tRSgUwj333IOmpiakUimEQiFMnTpVEc52qjdJWstzBPrVhEzfprKdFiKLFy/GwoUL0/bH82N6Ob2x+R3vVxkwsIPdPU2i6Z577sE333wDr9eLBx98MGM/yTZJoonEUjbwGhaTnBzqCIfDaYrTwVBBOqGiogIbNmzADz/8gJEjR2LdunV57+vuu+9GPB7HlStXsHTpUlu7D6c2zJ8/HwcOHEBJSQkefvjhvNuQD4LB4KAVRvz555/VONrR0YFIJDLAR/9WQD6ktU5SO+1DWoIwqMqxnipazgNUM3Mc5ZgJQBFvnGOpRpbEN+cFzmHMjpLjYywWQygUUh7Z3M/48eNx5coVNQeNGjVKbacrtGlJJYs6M3Dr1FdsP0l5oH8855zOe4nzAhXrVH7zNww68h0hk/qawVKSlYV6Refic52pXTy/TKDKnhlgRnVdGKQaXwaPTDDAwGDow2MN1VxDAwMDA4MhCcuyEA6HlbWDwfBBOBxWi2wntTFTeZ2US9FoVC0O7JCNtM50f3FxLP2euQC0S32mNygXwyTT6ZVJVTfJALmQocrJ7jx5LKl6lp6mXByTrOAinKBynESxVEnr1iRMr85UqNHuVY5EgSzW5QRJeO/duxdfffWV+v/q1asxa9YstLe3o7GxUbVbLv4lUc3j8fqz8BfJe0kg87hUPnk8HvT19anvg8EgUqlUWn+XlpYqj9hM4DV1+5orbVbcZpXQ8xgAJk+ejPXr12ccE48fP47PP/8cADBr1qyCSNRbCR0dHfjb3/6GRCKBESNG4LnnnrtllG652tFkAp+p4TRvvvvuu0pNX1lZiTfeeOO2shFzGn85N8jfUXUsldJ61gxrG8jxhxZW0r5KWkRJOyrdkoTzqLQgkdkvQP89nkgksH37drS3t2P16tUYO3asaoMkr+2sqFizQbcVsQP9ru2eLc4rMggp51Lp301FNgBH6xDOvTLQTa/wQp5DBg6c3nP4PuEUxMklgMl3IgYjzLt3ccAsPfkOYmBgMHRhiGsDAwMDg5yRjbw0uDVBgteyLFvFdLagBReGdoQ0t89EWgNQ5GYmmw7uhwt5qf6SkAQAiw3K/1O5xEUmF9IsDkVvbbs+CAaDqq36wpvtIaEtlc8A1GKW/SVVxWwzCWAnUpr+l5JopRKN/tdc1LPopRMk8XHo0CF89tlnKjhw77334q677nLcdjChW5AQsVgM7733HlpbWzFt2jSsW7du0BfyTopuBlIyZRgQ//mf/4muri4A10n5N954I+N9LmFZFvbu3YuTJ09i1qxZmDdvXm4ncJNBsupWI130onsG6YjH49i+fTv6+vqwYsUKVFdX3+wmFQ2nT5/Gl19+idLSUjz22GOor6/PaXtmC8mMGACKfAb6Cx3q2RpSfQ1AEWuc92SxWjl+c6yXtlEkukl60iKEbWIxUM7NMpBI8PkFkKaMlmpyOY9lKiTIfXEO1ms08HzlZzL4SfJaKrJluyXYF7K/9fPMB7Q9cRr3sxHX0WgUyWTSdeaNDHCQeDcoDnj/yaCQgYHB0IOxCjEwMDAwyBlUCxnienhBEsB2NhmZCjNyQej04u+GtAb6bUIygYpu2tbQFkNf7Esim8pfAGk2HFJpXVpaikgkkqag1olrkuWS5JcEOfuPJAL/r6dqy0Uo25uJXOZi1e6Zk31PwpnEO1OqZd/pdjA8vmVZmDNnDk6fPo3z58+jsbERCxYsSOtXkhO6pzb3bUe0k2Rnf/N6ZdNOOH2/fft2XLhwAalUCkeOHMG0adMwceLEjPuSyMfP1smGhPeNGwSDQUVcS69vNzh+/Di+++47xGIxtLS0oLq62lVhwKEAtnnkyJE3hBQoJtk8HElry7pedPXMmTOYM2dOQUEQn8+Hu+++O6/tAGS010mlUjh79iy8Xi8mTJgwaPeO3XiQSqXwySefqEKC77//Pn7zm9/ktF+Sytw/508SstJyikVrOc6wXzi3SFsM7ptkMdXDtD+QNhYc/zneSyLd5/Opz6X1iCR22ecyCMq5TwZ/eT6yWCPJZpLYsh4F+537JMlPiy55PJ4r51EGaKkkJwHNz6V1COdnea1pFcGaGPmQlW58rp3ALCr+28327AfakRmCtXgw3tcGBrcGDHFtYGBgYJAzshXwM7g1UUhhRi7E7F743ZLWXAhmC4jIIk/S91MumO2sHpgSyv3rRbKA/gUiyVqip6cHp06dQnV1NRoaGgAMJIGlQpskAn8j90ViXBbtslNXk4DL5svJfXO/XNiSDNHJN7u+ITEeiUTwi1/8Ii2Nm21jGri0bGEgQyrPdVKb20vygm1jqju3k31JVRn3y2NKIoZtkdc8m9VHrmOX3f54bXIpVvvLX/4SH374ISKRCNatW5eT1+rly5fV/R2NRtHa2jooxDUJqGIt3CORCP7whz8oQu2ZZ57BqFGjirJvJ2Qjm/MJXAwnHDp0CNu3b1d+3TU1NTesWCZBhWMmvP/++zh//jw8Hg+mTp2KDRs2FOXY+jNrZ8+hW1hk8s/PBF3ZLAOcdspkBk+BdGKZ28gaCNImi9ZQLHTIOYX+17SmIFnLuhH8PYlyn8+n1Nck8aQ/t+wTnRBmgJLks6ybwP/zM3174PqYGgqF0ghs9jufWZ4/C0SSLGfxRmn9IIOsOmS/ZLIFc0I2n+tMhDQDDtl+px+PViFUnhvVdfHg8XjS7GSM+trAYOjBENcGBgYGBjlD+vkaDB/IhZ7dgsxOgQz0ewU6eVa7Ia2BfjWzk2LbrigVfyvvRycCk+nSUrkl07aB68QBi0CSvAiHw/j973+P3t5e+P1+bNiwAVOmTElbxJNEkO2Q6dwEU6B1sl1uw/N1Q1qzT0i002aF104n6OwIOx4zEomk9T33QXKZ5yJ9s9lH9BPnNWT/0VaFv+OiXZ63VHyzX6jKZt+y7yzLwsqVK3H27FlEo1HU1dVhxowZah8kIKiUZNEyeU56ICEb7Ihpnr9b0hoARowYgRdffNH17yXmzp2LgwcPqmeQxUZ1FKI27u3txZtvvolIJIK6ujo888wzBRPYZ8+eRV9fn+rv3bt3F42AzBe3M2kNAFevXlVEZSwWw7Vr1244cQ1kDjBYloWLFy+qceLMmTNFCzjozyzVviQGgevP0ZIlS7Br1y4AwP33368+z+f5shsnJCnLvyVBSXJWtymS6mMGbhnMBZBGuMnsHiB9TuQcI4sKU7XM+VUWKZbjNi1JdMKX7SdZTXJV2l+xPZwH9TnfjsCW112S/5KELy0tRSAQGEC6O71zSPU1rUsyFXrUwWPnOkayz2ld5pYwl9ZgvDdM1mNxoQc0jPrawGDowBDXBgYGBgY5gy/OBsMLXBQB9uSOkxqaC1D9u1xIay6idc9ffk6rCklYS39Qkp5cFNPTWp6brtzVSWv+jotKBmguXLigCgJGIhEcPHgQU6dOTUu5ppKM6jcumiVBy8/YLwRJX6lelmRrpj6jYpz7kzYovDaZQCKdx+Y15oKc7ScJzfRvFsOS14Ekg1Rry3uKkMW5dEJHkhR9fX1pi3Vem/LycrzxxhtpvqoyWCF9X3lN+W9eV7fFG+3IMhJJuRaALAQjR47Epk2b0NrailGjRjl6p+ZCqkmiDgB27NiB9vZ2AEBLSwtOnTqF6dOnF9TumpqatCyGwVZbG2THnDlzcPjwYaVMnTJlys1u0gB4PB6Ul5erYFpVVZWtMroYkBZOEsuXL8eiRYvUHCHHxWIE7hm4lHOuPpZIclsKBkhsc97g/Ms5h9lIch9Af1YQvbL1gDNrI8gCu2wbLUIYTI3H44hGowPmdqpXI5GIIpQZxCXhTeU020DFtqzdYEdg6+B4LvdB32u2NxM4p3AfPG83hHCm92Anwly+59hd72xtZVaU9Ps2KC509XUxinkaGBgUDkNcGxgYGBjkDGkDYF7mhhf0lGYik+91IpEYQKSRnGXhp2z3iSQeub2uIiNhTZUxF78ktLlA58KTi2buS/fY5P71lFCfz6dU16lUCqNGjVKqG7/fj2nTpikSgYocEuhc7Es7C+lTKsFFtjy2LLJI385UKmWbtkolNIlavZ/tbEKAdIUfCXf2M8+Z58B2ZlJ/01+canVZmNIOPH4qlUIoFFLqaF5bXlMSCtIPVqoF5X7YTplOzoCHjlysMOyIBe4zV+LBCboq3AkVFRWoqKgo+HiEfj+SBGNAgIRdJhugbBg1ahTWrVuHAwcOYPz48Vi4cKHt72SAYN++fdi2bRsCgQCefPJJ1NTU5HxcOySTSYTDYZSXl9+289bly5fx9ttvA7ieAfDss886BkFuNjZu3Iht27bB6/Vi1apVAHLLcMgFTmpuPgPSxkiqbJ0I7Hg8jj179iCVSmHhwoUZCUY+b1J5zPFYHodjorRfylQXwW7sYyCZymLLstLGHlpCJRIJ9bksMsl2yr6JRCIZyWu5jYS0s+LYzncGScZ7vV5FYNuR0bwuJNFJkAP9BH824tHr9aadd7ZMJ26Tq88126oHItyC/cJ539SaGTxQfU0FP99xDAwMbg481u2eL2dgYGBgkBf4ImfS6IYXSMByISc/pycmQRWWrlyWpDWVudlAD1wukknKkkwDkKa8pjqLRav4uSSO5eIzm4pZVyrL4ovBYBBnz57Fvn37MGHCBMyZM0cpSGWxKtkOp0UptyFhEAqF0gj1SCSS5rmtK91kX/BzkgSyACKvlw5J0PD6SjJAJ/d5DahoyxSEkNYguq2LJEpI6rPd4XBYHcfj8aR5g8v7jYhEIrYElhP5ZKeQLIbtwLZt27Bv3z6Ul5fjqaeeykgqJxIJfPnll2htbcWKFSswderUorYlH+jHjcVi2Lx5M9ra2jBlyhQ8+OCDOHjwIL755hsAwN13340FCxYUfFzeJ3bkUDgcxn/913+pZ3X06NG29iq5Km+7urrw17/+FclkEuXl5fj1r3+dtQjscMQ//vEPnDt3DsD1Me/JJ59EY2NjUfbd09ODvXv3oqKiAgsWLLilCbVCld1///vf0dTUhFQqhfr6emzatCnvdpCo5JxIEpYBPwk53+k2VUS28UbOI3bbAkh798uUVcX3CTk/RSIRWJblGDAhkU1bEc737AsZ0LZrn/T/Zp/xXcTNPZmL0tbpPZhzn+5DzUADLUri8bjtHJcJfJfhe4RRXQ8+jPrawODmw4SNDAwMDAzyQqbCNAa3LqTNg4SdskeqwIh8SGupiKZCiyQt90cVLT09gX6yW5LWVNxKn2cgvZiSHSkhCWOSqCTPUqkUGhoa8Nhjj6XZc5A8kDYhbLNOlOrEOFOU6RNqR1rzd1SCRaNR1S9SaceFLxfCVK+dO3cOlZWVqKurU/uS+7VTr5GkZuBCKsXZt06En7QGkUpptkuquanGI0lNcoLqPN5bdvedtCgBBhZKpAJetxHR29rX14dr166hvr7ecfGvE/lEW1sbdu/ejUgkgt7eXmzZsgWPP/647T68Xi+++uor/Pzzz0ilUvj000+xadMmVFVV2e77RkE/rt/vx8aNG9M+++6779Rz8N133xVMXFuWhXfffReXLl2Cx+PB008/nWYfoj83Tl7kuZKKO3fuRHd3N4Dr5NGpU6cwc+bMHFt/66OioiLt2SmW2jqZTOIvf/kLurq6UFpaipaWFqxfv972tzw2ibfBUlEXAsuycOnSJXzwwQdIJBK45557MHfuXNfbt7a2qnuZ950byIAlPZD1opGcI2mHxe+lGhtAWraTJLklAczf8jPOHxz37IJ+TkpvBiBp9cF9eL1elUXEeSHTe4G0DZF9ITNoOOfaWU2Fw2GEQiF1nFyV1LrSNpPPcS4+17odWj6KbW4nr7VRXQ8+5D3hFHQ1MDAYXJgnzsDAwMAgL5gCjcMTuv0CwWJQBAllqT7Jl7TmIpieq7y3aJNRWlqaRvxKawsu/Hw+nyJJdWWVPAYL73BhzHRbAMrigtvTw5ge3gDSiFYSvHaFIQEon0QAtgtLWpKQ2KX/qN014aJfJ5ulcov7tCwL//mf/4muri6UlJRg3bp1mDNnTlrb9JTzUCik/Ea5XxIIwWBQER9U49st1PUFOJXnJFikMp19wutLopnnS+U909Dt+k8u/EkgSOKEx+f9QfI8kUigvb0df/3rX5UNy4svvojy8vIB/W5HKrNtEplS9lOpFK5du5bW/z09PYq4HsqQ/V6MIOXly5fR3NysyPCvv/46jSyvqKjA/PnzceDAAZSUlOChhx4q+JgAUF5enhbgGKr2GIONtWvXqoDN0qVLMXLkyJy2d1IiywKciUQC58+ft92+ubkZ7733HpLJJBYuXIh77723IOJaZoTkgmQyiW+++QbNzc1YuHAhZs+enfa9ZVn4+OOP0dXVBQDYunUrZs6cqQKbHLckecrPS0pK0NjYiDNnzsCyLIwcOdK1NQTnQGnjwbFfEtlyDiTkGEpwrmMwmHMqyVZpDaYHDdlPQP+8kkgkVPvknMPjSxKV+2AgXC/I29fXl0Zw2/1bkt8kq9kup/vGsixs3boVp0+fxuzZs7Fy5UplOxWNRpXtVTbyXHply6C2hJPPtR0ZLbOY5N/5WO4xsG68rm8ceE8w08/NfWRgYFA8GOLawMDAwCAvSM9Hg+EDqWblgspO+UoFtFRF5UJacxGse1hzoSjV1Xbpx1xQk5Tk/+18npm2y3YFAgG1gKeqmG2XymepSuOin/uUqjaC/cHFPZXRmdS8Pp8vzW4lmw+nJI48Hk9a+ioJ24sXL6Kvrw/xeFx5rc6ePVtdS50EZ/v0c5HtZFtZkEtXtLNf7IhrXgMS8ySkCTvfank8XSknCRFuT3sSSSRRFc/rz89KSkqwf/9+9PX1AbgejDh58qRSE8v73+6aAcDYsWMxdepUnDx5EqWlpVi7dq3jdQOAlStX4sMPP4RlWRgxYsQtU6Twsccew8cffwwA2LBhQ8H7k8+Cx+NBWVnZgN/cc889WLNmTRpx5RZOwYYlS5agtbUVzc3NmDVrFu64447cGz9I6OnpwdGjR1FbW4tJkyYN6rECgQCefvrpvLd3mvPLy8uVV3tJSYljUc/PPvsMvb29AIA9e/bgrrvusr0H3ILPqV5oNBt27NiB/fv3I5FI4KuvvkJ9fT3q6+vTfuNUOJb3F2so8F1IkqpPPPEEDh8+jGQyqcZeeks7ZRFwWyqGZQCPxKtsi7T10tsG9D8LnGOlN7+c9/hbvdAstyehzTmZwVsGi5kJxPGawV99LpAZUqzvINssz4HjuP6dbJv8I78/evQofvzxR8RiMbS2tqKhoQFTp06F1+tVgetIJOLKOoTzhdM2uaimed7yd7x2uYL9z2CBW9W3QeGwU1/bvacaGBgUF4a4NjAwMDDIC3KxZF7YhhekElmqnKQaW3oz5kJaS+sPLl6pXqEi1klhC/TbYUgSliS6rn5xapckr1mckcQn/Ze5yG9ubsa+ffvQ2NiI+fPnDzg3LiClIptq7kxqa7aPxyHpnKnf6A0qP7NLWR0xYoTaV2lpKcaNG6d+D0AVfZQp2TJF3Mmig/YhtPjQVWh2xDXtXyQxTyU7AMeCi5ZlpVmp8LrIVHoJWTyMfcqgANCvRqQ6e9SoUYpo8fv9aQUAMxEJvE6pVAobNmxQ916ma1daWorJkyfjlVdeQW9vL+rq6mzvCSfSVR5bFqK8ERkvjY2NeOONN2y/y6cNNTU1WL16NXbu3IkRI0Zg3bp1tr9j/2TrEx2ZVPKPPvpoTm3Vt9cteoqBaDSKP/3pT+jp6YHf78eaNWscC1gOZXi9Xrzwwgs4evQoysrK0jzcJXRyza3FQSbPaZKvufhSt7a2qnEimUyiq6tLEdcki9evX48PPvgAqVQKq1atsrVIslM5A9fHEKnilhZGbhAOhxEIBFTBW308lvMO70m785fPgnxWZQFgSRDL54d/e73etOJ0wWBQBZh9Pp8an5ldI4Ob+pzLzB3dTsQt7Ihs+e9kMonW1lbVJ9FoFNeuXUvrN2YpubUO0beRNRuopNdt8xi0lf9nAFyiEMs9ztulpaVpWWEGgw879bWsx2JgYFB8mOKMBgYGBgZ5g4sr87I2vEDLCC7q9MKMJD2pmHJDWuuENRfMXPhzEZ1pIcuiRFxcSzUaF5ISPJ5TQUGqwHgukjTlgvfPf/6zUtWsXr0aixYtAoC0xas8nlSbsaChHeEhU6e5AHVqp7TZIOiLrRehJM6cOYMdO3agoaEBS5cuVYtaquT4+kc7E6YbU22uX09ZhIrt4b+5gJMFNQEoRbNOcFMpSNUSyRxJEADX7Uqk+j0Wi6Up8hg8Yxo9Fd1sm9/vV76r7GepFPz6669VOvmdd96p2uD0akzFu9/vz1rscyghV/L3Zu/3Rh/DDYLBYMaicPni4sWL2Lx5s7qXGhsb8fzzzxf1GPmgtbUV3d3dGD9+vCOxl40otiwLJ06cQE9PD2bNmoVQKITW1lZs3rwZ8XgcK1euVM/djUZLSwvefvttWJaFsrIyvPjii2p+0zNPaEEkIe9Ljq2FBJKc7nNJ8OqkJ0HVM4Nysh20+OC+8gm8kJBjMJvzAOcfBpCp/GUGlMxyIpgF5PP5Bq04ant7O/77v/9bKeJfffXVtGAuwX5zk+0kt5F2WrQKYRCZ4H5lscxoNDpgjpfvTvmARQPZ14a8vvGQ77ZGfW1gMHgwxLWBgYGBQd7QX84Nhgdk1XqZgk1SMRaLqUW+XDTZvayTnCZhLb06SYq7WXBRccx/c1snxVQ20lru1468BoAjR44okgUApk2bho0bN9q2lX1GtbhlXS8SZacelwt+9ptsg/ydJHaBfv9nLvrtFt88Nglfkt7clsUspco8GAyq41GNzn0C/cUr2ddSsU2CHoD6Dclt3kPynBjw4ra8N3RSmqQ6gwEyPR7oJ87YXhLL7C+9WBnJFZIE4XB4AFnkRCDx2lBlWGwCc7AgSSTg5hWCvNXBeywfZCLfw+Ew/ud//ge9vb3w+/1Yvnw5li1bVkhTsyKRSOCbb75BW1sbVqxYgfHjx6d9f/jwYfzzn/9EKpVCVVUVXnrpJdsxj8+/k4r4m2++wd69e5FIJFBVVYXXXntN7ScXdXQ2yP7VCxZmQl9fHzo7O1FfX6/GNf3Z5ufZlNKcZzg/ZoLf70+zL3ILu7lOzl/MULGzTiFRzM9KS0tdBd5k3zLrQAYoOZ9T8cvvZRFGOa+SuAag7FAGA319fWhubsaYMWPU3GIXHJdzMYnobJDzkPT75jsRkB7oBWBLbgP9GWRy21whg/lua4sYFB98F+M9bwQ9BgbFhXmiDAwMDAzyRjEXnwZDB9IShH9Lr2KSmZlIa77E096CZCYV0qFQSC0is73gc3HOf5MsYSq1DhLlbhZxTGGWC1hizJgxCAaDqr2LFy92LEpIn0+eC/vMDWkNIM2vkr8Jh8NKNQb0K4blOdO3k22Q1hu6nypV0Tw2j8OsCaqWufCiGoz9JMHCVcB10oYKel5jXi99oR6LxRShzn6SfSr3xXtH2oBIlZ5MD+f9Ka072D5JVvB8JJmrXx87SI9ZnbS2u8eGyqI1Fw9WA2cwMJIP9Hvq1KlT+Oc//4lLly4hFArh+eefx4oVK/DQQw9h6dKlxWhuRnz11VfYv38/zp07h/fff195ThO7d+9GJBJBLBZDT08P2trabPdDSyGn++rEiRNqvInFYqrQIeDsp58PZP/mouYtKyvDmDFj0sZT+WzLMUUG5uxAEliObdyH3j8y0AfYjx92iMVi6OvrU9eG/v9Af40IksccZyVhLOdx+lUDmYuuyr5lJhY/i0aj6rkg8UrrCm7LwKgMnDHgQZX4YCAYDKKxsRHl5eUIBAJqPmNxRkJaPkQiEVdWLpyHAoGACizr/uA6GJzVIcfnfEFBAedfg5sDPge8l/IJThkYGDjDSOQMDAwMDPKGU0V1g1sbesEjLnilZ7MTaU3/a5KJ3M7Ou5qfZ1NES4sILvScfLCphMrFwkZ6XtN6A7i+IHz99ddx7tw51NfXOxbUo8JMLkztFqok/u36jUQCiQh+RzsNpoDbKci5+E4kEkp9xc/lQlYqkek9LdXuVDazPVTosa1yEcZjUq1NpSIJdLuiU1zgS290qZiWfaGrOemZqvcn98t+4n1HFRz7jIQ6r4H0SScy+RjrliZyO/082V8320pEWulI5TkAHDx4EN999x1KS0vx+OOPo6Gh4Sa2dOiDvuYS+QRujx8/js8++wzRaBSHDx/Gc889h7q6OqxevRrA9Xvpiy++wIkTJ1BRUYFnnnmmoOKFdrhy5UravdDT04Py8nL1/1GjRqG1tVU9S5WVlY770s8/kUigt7cXlZWVmDRpErq7u5FIJODz+Qbsh899MckdZq9QCVvIvjk2SR9pWiPZjRHhcHiAVQfHegZT5b4zkZZsu112hwxOElJ1y+CmHpxjrQHOpRzvM2USSEWxXgOBbeE4J+slMBOPYzDHb92jn/NtsYNqMlDHuYTzgPTj5lzBf8taCtnaJIv0AVD3uX58nvNgBTPluwf73gQpbw6k7R29r4362sCgODDEtYGBgYFB3jBqvuELkoZy4UsS04581Qlrggo0/f6gki1bimwikVBEgCRz7e43KsIyFXd0gk5ec7FbVlaGuXPnOm5HQlS2iaSArg628wLnb0nqyvZwoc1nLNMCSC6+ma4qyRW9WCTJHal85n4IKradVFy8R6QqnBYwJE2kyk+S4Ow7qRLUSRxJhCQSiTS/ap00lGoz3ZOWRA4JBmmHop9PpjR/jnPZyDA7knOwYFkWrl27hmAwmEY+Av0EFz25iXg8jq+//loRTh999BFeffXVG9Le4YR8SNEzZ86o+y4Wi6GlpQV1dXXq+6amJhw7dgyRSAR9fX345ptvsH79+qK1GQCWLVuGzz//HJZlobKyMu34ALB27VoEg0Fcu3YNK1asQCgUst1PMBhMC850dnbizTffRCKRQHl5OZ5//nk0NDSgu7sb8+fPH6BWJpGbTz86PYf8rNAimhxfeK2kf34sFlPjqU4sS1sizpO0kCIBTDDbRBanlefB39uR0BJS5U2LJ8C+j9g+ts1un7IALc+VRK60/ZLvfnpgjPMi2yELH/MYVF1LwrdYsHsn5TzAeYv2V7JocDAYVEpyN4QjA7gyKK2fi8xkstu+kAKNhKznwGClwc0Drc54n9nVRDEwMMgNZlQzMDAwMMgbknwzL2TDC1ywkYjmYpVkNglIWRxIkorZFn1Ske0E6WfMBZ6TOovtKKRYqCSvqZTJBKqL7VTn+rmRACaBQeKeaehc1EiLDZK93Feui1FJVEsSIRaLqYWU/K2e1q77Otv5QbOAIr+jQpFkMxdtXEzLxTkX9ACUPytVfZJoJeksyWZJtFMpJ8lvtodkizxXJ4Ka18KJIMrkbS2JdKl6Z/vdpKDnCsuy8Pbbb+Py5cuwLAsbNmzAlClT0r7n+cv+dCKzckU+ilbLsrB9+3ZVFHPhwoU5He9GBgUkcrGVyYSZM2fi+PHjKtth3LhxA/Yp9zsY5zp9+nTU19ejp6dHeQBLlJaW4p577sm6H/1Z2LVrF7q7uwFcJ45Pnz6NefPmOW7v5r5joVi9H9z0fSGKaxKJDILJYoOSgHUaD/TPJXnNsUdmxHB81QlqaXmkg+3jPCm9nGVAWdpsEdyn3TjIdsnxjsFcZk7xPUDOcWwPP+e9LC2d5PFJiMt9Fwucg+3AIC/nFdaDYL9JwtFtwUMGF6TFlTzXTO8SxSCueU7Sb9y8k99cGPW1gUFxYYhrAwMDA4OCwJdu8zI2vCDtI7h45jWmglN6V5JYdbtgyqYK0otcseifE2lNArmQxR/Qr8riQsPpfEha62QsMNAmRBaKpDKLv+FChgQDF58kG0kA6DYZTpC+zvw3SRb6aPN7CafrQaWhvP4SVM6R9JX7lSpFy7LS9k+Shgt6eb/pbSM5TfWhJHL0lGz+ludD+xVJStulyJOkyXT/ZLJFksSabhdQKPmo74/o6OjA5cuXEQ6HAQDffvvtAOKa2Qd9fX3qc7/fj6VLl2Lnzp3wer14+OGH82pXPsTg4cOHsWvXLsRiMbS1tWHkyJHwer04cuQIJk6ciBkzZjhuy3sol/4c7DoMdtcmU79MmDABzzzzDFpaWjBhwgSMGDEi7ftx48Zh0qRJOHv2LEKhkCsCOR/U1NSgpqamoH3wvNkHlZWV6t+lpaWuLE6c7m2Cz3o+17FQCxIZ+KMVE+ckfd/ZglPSmolWI1KtzAJ90qqIBLAMPOrtk7Ze/I1UC3NMZKFbJyW6vGel2lseB+gnumm1weNKEp5qbBJ3cjtCt05hkd5c3iEyQSfVnc6ZBS9JYJPQltYhUnHuBPluRPKYJH62thRqaUPIe9CorocOjPrawKA4MCOagYGBgUFBsPOyNbj1oZOBXFxJIhLoJ5RzCVzopKUOqRIDoBaXmX5bDNKa4KKP5LydypsLRD0tWD83ktRUlul+31ReU1FMewzpWeqmyKRsu51Kj8QCSYFoNJqm/s6k+JKFI3U4WYmQ/JD3DRfzDHxIhTdJbzviGugvLCmLQvJzktJU47I90npEVzE69ad+LryObqwHeK60ddFJrmwknRP0YmLcp7TZ8Xg8qK6uHrCtk8/2smXLVCHAfBfQuRKJHo8HbW1tql/i8TjOnz+P/fv3IxKJ4NixYygpKcHUqVPTtstGCmYiNQeLtOYz4XTvZ8Lo0aMxevRo2+88Hg8effTRWyKLST7byWQSixcvRltbGy5evIjZs2djwoQJWfeR7frwGFLBmy/yzXwg4cu5Ti/gmEqlbLM15PH4OYOTHB/k88wxWVqwyOwdmWUixzW9T3TfaY53nKftxgSOJ1STsw0M8DEDiHMFrcH0fbC/2E4Sv1Sqy7aSDOaYzfmWYBCSVlK5vmO4fX5ILPL4nK9165BM87C0/OA9IoMu2UjvYtSKYaAgHo+rfh/qY8jtAqO+NjAoHIa4NjAwMDAoCE5qIINbG4lEAlu3bkV7eztWrlypiBYWtStENUK1sZOSWS6sMxHSXKBLr+ZCwUU0fV1lwUZJ5lMhp5+DXhyQ/UW1sNwPrUCcik0y7dvtuUn/UEkeSHKD14yLdCrxMi2u5YJYEgJSSS4VZpJsIuEjfUDD4bAtEZHJyzUTYcX26eQyySC2x+fzqesrAyMkxXVii/e4W79cSVDLbexS5fOFvLahUAiPPvoovv76a1RXV+esnHb77OZLuNsdb8GCBTh8+LCyIgiFQupaRKNRnDt3bgBxLa+JXTtuhnXIYBclvtGEU19fH7q7u1FXV+d6vOEzLH2gN2zYkNNxsxHRcjwpNEBOQtLp2mVSvkrPZs43kpwEBr4LJRIJRfzKfbOYL9siSflwOIxgMIhQKKQsJ3TCWgYLOM7KrDepfubfHId1Elw/f1o/8fdUQdsFmmXQVaqKZeFGve/0fmDWEYl8jgsMAMtAJLfXCW2n94hcnyGv16vqSnDu9vv9qq5HtncNKs35fTAYRDgcVv3kFHwvpv0R70vauxXbO9ygMBj1tYFB/vBYRiZnYGBgYFAAqHh1KuBkcGvi/fffx8GDB5FMJlFWVoZXX30VFRUVttYYuYIv7Pp+SFrz1SRTkUVprVHMlFgSjlykk1yWn8kFh45oNKqIAaqfea5ycSJJVZ3Mlj7OuSjJqRbTIVO3eR5MXac1CYkUJzBIQBKapA09xaW1CskPEjk6wU/imCns8hr39fWp86U9Cgkd2tFQqSjvE4/HoywzdPCepXJQJ6JLS0vTUu2B62RCKBRSBIYOO5LLjhCi7+xgkavFIpVvJCKRCNrb21FbW4u+vj785S9/UaTQU089hbFjxzpuG41G0d3drSxGbnUUyyagEDQ1NWHz5s0AgIqKCrzwwguuxtRsRQPzgd39LJ9Zp/s9F1V+pmcm0/WQNkQcL3XlMZXN8jOOL8xWytQ+Hp8EqT6mSZLbjryWY6pUXrsFA5kMLpOwjsViCIVCjiQxVefsG27rdtyTliicMyUpLVXZehFfuT3n2Ugk4theN+B8wMAzA6/yncMuaM3i0AxAULXOGgx22Vuc3wppr107LMsq2j4Nig9pt1dIbRYDg9sFRnFtYGBgYFAQpArIvCAPH1y6dEkt7i3LQk9PD0KhUBoBSvWTtF6w+78EF552L+mStM604Bos0prKKN2CgQt36e9pd1wqy6Qyz+53bL+ddyaLXkl7jWypxvL4Okha85xk0alAIKCIDTfKLFqQkKiQiy3ZXh6Tv9Hbzv/Tf1oWxqJaUC9sSXWdnnpPFSEJDzvSids7kVtM89fbSLWcHfTPJRkmCa5iqunskIm01n288wHJoGIqjIPBIMaMGQPg+jPywgsv4OLFixg1ahTq6uoct2ttbcXf//53WJaVE8E6lHGzSWsA2LFjhyJIU6kUmpqaXNl88FkqJvluN84xIJaJCM1mASK3yzRWZDoPkpkkLWVRQTkuUenKsZLf0SJK2kDp7dNtlTKdB+sOSKU3baYkuSoL/WYD6zawn2jFxL/t5gnaPDFIpxcdtiuuKcdIeV4cLzluSYU1j8O5gvMk7wvdN5vBU6nOdgu2necdiUSU5QmvjT63MajAdyT2Hy1HYrGYrWpb2owUI3NMBsmN6nrogurrZDI54D3IwMBgIG7ttz0DAwMDg5uOYr90GwwNrFy5Ep999hlSqRSqq6vR2NioFqYybVv6Xsr/O3kKM8DBhe2VK1dw+PBhjB49WhWWy0RaU/VEv9FigoSpvsCVKdS6t7CuNiOclNJUG9uR2lK9x8VtJBJxVWjJLpWez6VUPMuiUyR9ZTDCCdL+gypq2U/8zu/3p1kHOPUBF2lUUEsVvl58UdqysH+k/Qf7Tp4/+5cF1aQS3qn/JOx+p6fC67+XRdckKXOzyEkSVYUQi5J4GyxUV1fb+nPr2LZtmyoymUwmceHCBUyaNKmgY3d0dODatWtobGx0XQD1VkAu13zkyJE4d+6cInQrKysHuXXOsLvXZHFAjr+yzgKR6fm2K+paaBtJENodU1qAEPSw5jjhZFtCQlqql0mCS3Be5bsXldIkV7kNSV8GCmV7+bl8zqU3M8cwEvHZbA2kjZheZFge1y4LhefHjB4Sx/wt/6Y1CY+nq61lthP/LecNEuDczu35xONxFXCmqluS0DoZT9sTfkeLCL6/SJKy2JkXfF9hPxoydGiCzx99zottfWdgMJxgiGsDAwMDg4JhiOvhh/nz52Ps2LHo6urCHXfcoYjTXBZAOrlN1RcXyteuXcOf//xnhMNhBAIBrF27FnPmzEE4HLZVcQPp6ltd/V0ISJA6FYxk+0n6ssAgF8RUljHt084GhYowp++ZTszFDNCfJp+t0JKTOs/Oh1sWnSJ5kOnc2T7+TeWz/D0DEpLMdtqf3YKe6c0yNRxIv956e3hf8NoRklSXBcm4zwMHDuDQoUOYOHEiVqxYMaB/nJTZUvGtQ7fQYXsGm/TNBHnN3MKO/JM+w/J3x44dw7Vr1zB79uyMZCeJqEKJmerqakXQeb1elJeXO7bZDS5cuID3339fBWI2bdqUFpS6kcj3HJyQS1+vWbMGsVgMly9fxpIlSzBy5EjX29pZ7wwG9PORATKCxGAmMtiuwGGu4PjA8d7ON5pBO/2+p7KS97GsDyAhi9fKQsBSdc7nUrcmkcUUSWBzPpFtZJul5zbQP3bJ38paDW5UoWwX50U94Mj26+A8yL5jP9rNl2yjDJ7rhLg+J/G3+j2ik99OwWsGGzgv6dYhzDZi2+zqOHA7XqdMvuP5gllhJO0zze0GNx8M+lPYYNTXBgYDYYhrAwMDA4OCMdjp8AY3B3V1dRlT97NBJ5Wlf6XH40FbW5talLMw2+LFiwEMVG5T1SyJSidldybbEicbE1nYUAcX01QER6NRle7NhScXzXZqGW6v22tISIsQ6RdP0jbb4tOOIM3kEU7CmBYBXIjbBZ/kQp/p0eFwWJHCTlZBTp/ZLehJpsfj8bSiXpIg1wkJpmNLAqusrGxA+7kojMfjuHDhAr7++mtEo1FcuXIF5eXlWLBgQdrvncjmTCS0kxd2MVEM649ssCMIGaiRx96xYwe2b9+OWCyGPXv24NVXX3VULBeDtAaAVatWoa+vDy0tLVi4cCEaGhqyEj7y+5aWFhw+fBiNjY2YOXMm9uzZo+5/y7Jw4cIFTJs2raA2kjy1CyQ5kaVUyGZCsYktidLSUjz00EN5bWunppUotpKUxSDtAgwkrekpzOM6BWPyBcckjosch4D+86X3tB7g5LE5F7JArh3hrntyM/NEWmKwLbKQIrNMSKZyHJUqZWarMBjH43N+1n27ua20AdFVy04kGwlhGfS0uy4yQMb+cfKq5v/t5isGUhggl6Q2j6Pvh3YmcozX1dw8T/a3DE7SOoRzNfvHrk+k+pqZRvIeKhaokud9YTyUhzakPY2TrYyBwe0MQ1wbGBgYGBSMTEpEAwNCTzUeN26cIhSDwSDmzp1rSypTreykQrFTdsv/u7ExoXqbi07ZDqly0z2nSdyy2KBu6SG/s1M/A0hLZbbzhPb5fEqpl6lYpYSbYj8yNZt2GroaXLZf9gmJTJ1AompcKtjl+VAt67Sg9/v9acEMEgDAQOKYbZP9JL/TVXiWZaG9vV31dTweR2tra8Y+Ipy8WiVIxPAeuHjxIi5cuICJEyeivr7e1XEyQVe2Sl9tt8Smkz0BoauqpW+rxPHjx1V7EokE2traMhZVzFY8zw1KS0uxfv36tM+ynTO/b29vx9tvv41wOIzDhw8jmUxizJgxOHPmjFJ2SqWxXZCAY0QmFZz05tXJUSey1E0Ru6EaGHa6prw38yGI7fpO3ofMetF/x/GGQTDp2y2zwqSKOV+wCB8DmQBUsUbp20xrCalMp1USCVoqb0ku6+clCU0WwmYfsC0MOspzJcHMe1nPmuGxfD6fUnPbBeB0wpdjurThsCwrjcjWx3gek20kqQo4q7D5b9ZkcEu8yrZk+o2cF/R/8zesWSH7hOchra5SqRTC4TD8fj9aWloQi8WU9Zkd2O8kKYsZ3NGPQfLaqK5vDWSzlTEwuF1hiGsDAwMDg4KRSXVpYAD0LwIluVhVVYXXXnsNx48fx5gxY3DHHXfYbkcC0+nlPR+7ELk4ZXV3Eo76IlaqvuW2ABQ5AvQHcKSFRbaFB9XYJGjt1DVM46aaUIdOwrhV6ZDIkXYaJKN1Qp5ENc+dvqt6gTAStyR5dX9uFqzKBEnCsg2S6ODndudDH3KORSRQ2L4pU6agoqJCEex33nlnVlUo2+NW2Uv/5c2bNyMSiSAYDOK5554rKHtBP2ddoeeG2KRKMBcSmddXJ7OmTZuGtrY29dzU1tZmbPdgBTZl4CkTrly5os4hGo3izJkzeOSRR2BZFpqamnDnnXemnYNOWn/99dc4ePAgvF4vnnzySVVc0q49dsGzTCSazCQZLtB9qXOBHGOkT7z0eiZBq+9bFk9kIUQAac9mJiQSCXR1daGqqiprXQGqgfk88VnRFd8c4+UYIYsXUnkr5wen+8GyLPT19aniurxPed4kyGXfS0uoTPuX5LdTcUi2naQ9wfGR2/L6yLlB9qdezJEBY6dz5jjqhrx28x7KccMpw0r+4Twm3wN0FT2xZcsW7Nu3DwAwfvx4/PrXv87YDnm/kCAvZjFFeW8a1fWtBaO+NjBIhyGuDQwMDAwKhiTqDHFtYAenwoc1NTVYtmyZ7TaS1NWVu4VCkt1Szc3j0nMZgFLMyXbxNzqZygWuJK+YSmxnW6ITMzKdW4KFteyIX6nEpQrMDeS+vF6vInqocKOSz4505zVhqjPbwVR2fi/9ue2CF3aQBI9Mqc4EmdatW8IA/QTsiBEj8PLLL+Pq1asYOXIkysrKHIk1SXjL+1YSatLvVqpMT506pdociURw/vz5golriXxITr34WjZIsl4nIZcuXYqamhrlcR0IBNKCC7pym4rSYhPYegaFDt4HjY2NykM0EAhg9uzZ8Hg8jmOPRE9PDw4ePKiu52effYZXXnklq6q6qakJ7733HlKpFO666y6sXr3asY1UCBdDma7v+2YR4jxuIecknylJXDNYoXtsU2lMki7TsfW+6evrw5///GelwH/xxReVj7oTwuGwCizSl5mBNpKxmQrCSnJYBj0yBWhJRsuAJtBv90TrGbvjs0+oErYr3EcylYSxroLeuXMnmpqasHDhQsyYMUNto3tJy+Alg8MMNsjMG1nMMZOtEOeabMUGC30PzZZVwWskgyhs86FDh1QwoampSdXvyLRPKmzD4bAi/Yv1vsP+jcVian42uHUg1deZ3scMDG4HGOLawMDAwKAoINlkFB0GdpAFotyApLVlWbb2GcUCF6DBYFDZW0gVMRcOEjJNmgtuthPo9wGV6c06mS0X9tynnjKsE7Aej0eRIvz9hx9+iLa2NqxcuRKzZs1yrdYieSAJeRIWLBxFYkQeXyckSVZalpXmeS19QZnCT6uFTCo3XdmcydOZRD8X+k5qJF5XkkuBQADjxo1DNBrFtm3b4PF4sGjRogGp1Nw3rzHBf+vHI8kNAJMmTcL+/fuVgn3cuHGO55EvuSgJ9GLBiejT2+fxeDB9+vS0z+wUsPwt0E+Yu7U1yef85DMjgwsjRozAiy++iLNnz6KhoQGjR49W2+j2KXr79PtVBrgy4bPPPkNfXx8AYO/evVi0aFGafz0hCUySs8XCjSKt5bNISJuCfKCrdHVrCY6B8vmhQpHjt34/6ypuoF/ZuHv3bnR1danP9+/fj5UrV2ZtpyykSP9jqbCWQTU90CL/Lccanh/HUkmOyt/rzxHtnuS4LMExEIBScjrZcMjgI7M19u/fj++//17VC3jppZfSniW5rVRVk8BlmzjXSVU2s39IctuNEVSCO70TZCL+iwWOL3bWGyNHjkRfX5+aD5kFxO3k+ep2KvyM2xRLYcvAMe8X845+68Gorw0MDHFtYGBgYFAkDGbxKINbGyQ03L5o3yjSGuhXgnNBXFpaimAwqFKB7aw5dAsQpnmTZGW75QJRPweq2QAoskN+x78l0SELSHm9Xnz00Uc4duwYLMvCF198gTFjxqCqqspW2a3/38mvV/5fEr5O10AWqZKEHn/v9/sRDocVISctRaRajdtIEiqbUlMSZZkW43qRM+If//gHrly5AgA4c+YMnn/++bR+oGetbAOPw+8lsS7JzzvuuANPPPEEzp8/jylTpqChoSHjeTjBjuwiciF1qeBzKhxYKHSSTYJEDPvf7TyRz3NvRwzyfKuqqjB//vwB2+j9obevrKwMa9aswbZt2xAIBPDII4+4aoseqCNRZXctqRq+VedQnVilMrCkpCRrtkQmyGdP+rlL+xo5BjGjgzUBqELmtnb3Pseluro6pU71+Xyoqqpy3U4GqEhOkqRlvzC7JRgMpmXzELToYLaKBAltfSx0CuxEo1H09PTg8uXLGDduXNocRmKb45jsK7txnr/zer0oKyvD5cuXVV/HYjFcvXrVlriWkEEFzjssbskAMBWl7D+Svnbjv/STtqspkU0xPZh47rnnsGXLFvT29mLdunUq04REPudeKqslmQ1ABWHpfV4Mf2P2dzQaNarrWxgUUXD8YCaTUV8b3C4wxLWBgYGBQVFg54NqYAD0pzC7ecEmWXojlNaSQPD5fGlFp2KxmO3xSTiTmOHiW/qNuvHilDYkOqEvSWYdtAzx+Xzo7OwcoNhjirdOfjsVqOzr60tb6EtFFkkFqczWiTWdJGT/UcnO/UmCl78jQSHtPajOk8eSZKgk/uRnme4T6RsqCaPOzs604n0EiSfu0+fzDWiTm2Jh48ePx/jx4zP+JhskKSeRq0rbrtCi3fb5Eqf0d6faVMKyLEXG5IJ8lLp68T3psesEN+d855134s4771R2Om76/xe/+AU2b96MWCyG1atXq2czE27VIsdO9xLJN90WIx9IuyGpSJYe4fL+TiaTaiyWyle5P94bsVgMkydPxtKlS3HkyBFMmjQJc+fOTTtutvMnKczxiLYW9JjmnGI3buh9w2NKj2KdqCZJz/GB25w5cwYfffQRUqkUgsEgXn755QHkNcfDkpIShEIhRyWnx+NJCwAsWbIEJ06cUKrn8ePHZ1U4M6ClQ6qy+TteXz3AZRfAi8ViKrNJ2qjcTCIvFArh0UcfVe8wug0K7wsZ5JX+4Jz/qECX828hCltmP3FON2rdWxcMgMXjcaO+NritYIhrAwMDA4OiQKazGgWAgUQuFe2pfKZ6rdgg0SHTqCXRTLW3TKmW20ajUUVaA/1qPfoPAnAkvQkuRgHkrJiRHqVr1qzBhx9+CACor6/HqFGjXBev4oJHkpk8B704IpBu2aGn7BOSGCKZxAU49xcKhTKer07gSGKGvtu6qpfttzt3jklUfLPNJSUlaGhoQFNTEwAo1aAkGah0syPcSEw4EVr52H+wn3S7GDsFeq775j3J4oxORRp1EtdtJo3dNZBtZxAjX7i1DbG7JrqFRSHIhViura3Fb37zm5zuhWJae0hLDQaU3CCZTOKbb77B5cuXsWTJEkydOjXnY8pCrXyGi0Fc895lkI7PoR7Q4lghiwTq97sMqLA43sqVK3HfffeleTJTGWt3X8mxjNvIMd3j8SiSif7XQP84Iwl3uV9uqyvO9XboRQ0DgQD27t2bNhZfunQJkydPVvOGx+NRYypJ5Uwq39LSUoTDYViWhXHjxuG1117DpUuXMGnSJEXMcy6xgxwXMt3fvE91r2zad9nNG1RfkwweKu+fzDRgP9LqgfcaCWzel0B/oIcZXzIriUWSSfbbWY1kA2tSxGIxW8sig1sHVNEb9bXB7QSPVcw3JAMDAwOD2xp9fX2uK78b3B6Qi7FsL9VcoA4Gac20YyrHSGLQp1m2wc5Dk6S17vvMBT3TlrnQJnlip9imejcQCOSllCHB4Pf7EY/H0dvbi9raWtd9pl8TuT+Zes3PaZmRiXjSCRUniwtJTOg2Juw7QpKV9KZm3+m2BFQf6oW7eM1IvrCdLCK5f/9+eL1ezJgxQ9nE8FoD16+RXqBMBg+KBSdyUxafy7XInV64ThIdsk/y2ZcdpKd5sZDJgsQNeM65kqby3pPZFLn4brOPJUmYC2jL0NjYmNd4KO8p3cc7E7755hvs3r1bBRBfeOEF1NTUuNpW3qOlpaVp5Ip87gpVlnN8obWHjlAolDbOMSNA/pZjL0lu2Safz6fIdzvyeuvWrTh06BB8Ph+efvrptMKrLOarXzN5DI5T0v7EKSCYLfChf79jxw7s2LED8XgcoVAImzZtwsiRI9U5kQTlc6Urlkn4SyWnnPsAqKwjXm/aatnNZ5Kolf/OBTwGA+B6PQgA+OGHH7B37174/X688MILRS2Gmw9IXNsFwHUFNufEcDhsG9yV2WEyO0pajUjLEafxIhqNqvcbo9IdHuB7k3wHMjAYjjB3toGBgYFB0WAKNBrocGsTQtK62PYg9M+U/tUyZVYqwbmY1IlzEplcZHLRT7WfJHz5G6rr9PPhwt3OIsQNSCxQQRwMBnNWTzFVWJLW0kqDKi8SA/F4PK1wlCRuSepRJSbtUmSbaa8A9BNGMrXfrviYJAi5bzsCp7S0VLWH6n6ql3mNeQ5c7JM8mzNnjtoP20UvyXg8nkbsSo9mqYKmdUEhkMSOhNxvrmQf+5ukM33m2Se5tNkN6SkzCYoF6YnuFlJVT5LIqVidE6TqVR7b7vyktY6+j3yDGzt27MCuXbuUyvXJJ5+0/d25c+ewdetWlJeXY8OGDSgvLx9wDkBu986VK1fSChh2dXW5Jq71gBJtMkjgS3VvIc8M7229OCPBe53PFMcAGXiQliIkdXVbB7tz6+zsxKFDhxCJRBCJRPD555/j17/+ddqx9doAnIc4Bsnrwbbxb967ehFJJ0hLEQBYtmwZgOtK68WLF6OyslLdo7QZkON8JBJRc55Uckr1NcdXEu5U7/J7mXWkezKnUqmcigbb/Z/zD+cqXleO852dndizZw8ikQjC4TA2b96MTZs2DSB0byQ4R9tZgdkpsNm3dqpxaQ8h5zg5fzJgDmAAmS2vbTgcVl7XRqF760NXX3N+N9fWYLjBENcGBgYGBkUDVVAGBkC/ssiuwKEESUQ3vsG5HJdEFZV/8kWefry60kxPeebnXBxwYSmJQF3h4kRey8J4uSrOCJI/LAxIssVNn3CRy7RrqsXZH1zg8pz4f5IcJSUlitAhiSEVXiTj7cg9y7LSlKtsM5V0XFjzmkhrEqfFPKGr7/RtudjX+0JX8eo2F36/X5ECBIuGSRVtoQQcz0tP++dn+YL3iiROaDcAICdSNZ9zLEbB3lxU/vK4DM4wuAK4PwdJVutZANy/blVjt29p08E2ubWWkXYPzc3NaT7tRCwWw4cffohwOIyrV6/io48+wsaNG233n8v1W758OS5fvgzLslBeXo6xY8e63lZeLxKfzGLQyXO3FirS6oQBCJmJwTFQ7l9m1pCI5rzAQA7nBpJ4/FwvoCjHc/5fQga8eC+wLZIE5vxGckkSlzw21d/ye7v+0PtNnrvH48Hy5cvTgmGyODJV1gwqMLAog6yS4A6HwyqbiPME723aFHAbmdXEdnK8lAUJ9fE407XX7wMZSGVxZbs5mIFZWfRRJ3MHE5wvneYuncDmbxnE0LfhnMRxjfeyXthZBp7lfuW5M6hr1LnDBzK4weKlbmvLGBjcCjCjlYGBgYFB0ZCtCJbB7QWZyuoEpm8Xw2KGC2sSs1wU2innqFYmqN7SF4EkOLiol+prAI4LP528llYL+SqdSNhwe+5TkgT6wpV/SxKN/+Z5ZVvE+3w+pZiWJJxMbSdkQSkSJSQXqLYkkUDfYz39WydUg8GgSlWXIFkl1WdAvy0Mj2tX+MxunJIkjEzHJnSPWUk68/+5Ery8FnaEvQ7u343tg1Tj2Z2/bn+S6ZhsZ67QCb98kIn8dmqTzBQAkBZocAM7extp+WE3nrS3t+Onn35CdXU1Fi9erBS8MkgiCVMdtKQhqqur0dvbq8hVu3FGv1e6urpcn2MmjB8/Hi+//DI6OzsxatSogsgtEnFyfOLnLHSp/56+87RIkdtxXxxPGICU/vUA0go4Uh0MYIClE0lWWTiRxCEV49wX7+WqqiosWbIEu3fvRigUwiOPPKLaLslmBk51awa/358WdOQcyONJ8lo+f/xtLlkDHEt1n2g7ZbN+LYD+e51jPUljSQzL3zGwx3Pj+MvxjdvLe8qOoM0EaSnGTJyRI0di2bJl2LVrF/x+P375y1+mFUCUymQ+g5LIHQyCT5LEmbKr5LsKr7u0GXFSX9sV1JRztIQ8fyIWi6XVtbhRhL7B4MEpuGGuqcFwgPG4NjAwMDAoGriIMIVfDICBvpg6qEQrlLS286/OtFDkb0lcU/UrCWU70pr3NxfkvNczLQq4H6m0zkdtzZRukiskpCUhJ9OquXiVf5MslsUO3fY7j09IL2iPx6P6jl6LJKZIxvI+IEFCIoZp5STGSWRLUq6srExdM7nwlot1vfinneUJfytJQl5bSWzxfHOxM8iHtAb6iVmSadIe4OTJkwiHw5g5c6ZajNLWwA0RS9JDV2MGg8E0C5R8234zka3NUqVb6DEyFegj/uM//gM9PT0oLS3F7Nmz8fDDD6cdnxkJTpYdOkEfDoexdetWRKNR3HvvvbZWHZZl4YMPPsCFCxdgWRYefPBBzJgxI+/zLRZkcIzPvF0ARQZXiM8++wzHjx8HAEyZMkWRwvo+JXHJZ12/NiSpOc8A/cVhOXbJ68N5Q6qP+TvZZv08dLsg/VrqAS4g/0yNXJ5V2Q4Z9OJ8IItJymChruJle9lf8nuO//r4yz6nlQffCZ18n3OFJK+dLL4yQRK5tCKSARGOnYUSfrLehRtwnuMYz2vmRKwz6KEX1HTTLhbo5X3CP5L81q1GDG4dyOCcUV8bDAcYxbWBgYGBQdEg1VHmBen2hkzLtoOePp3P/qWyVvpXZwNVegDU4l0nrblolDYfXORTfakXArSDVCgDcL1g11ViVMuRRJELS/azWy9xksq59DtVcuw7biuJoUAgoIg+9iELO1KBKj1pJbHKBbPuCS7T0CW5QuKFqfBy0U5FPclguQ0DDkB/cUwqG0m8cx+yDSSA+Hu9cGS+BCm3Y9CFx9q6dSsOHDiAZDKJ3bt34+WXX1bnp5PWktSTbSfJLX8jbQxkAMQtciW59d/nah/iRNJna4ckBnXFtFvo/tp2x/P7/Wme0IlEAhcvXlSqWb/fr+5vXRUsoVvWhEIhbNiwIWP7PB4PHnvsMXR0dCAQCKCioqJgaxaJTIUt9+/fj+3bt6OiogKPP/44Kioq1HdSVS0VugAU6UxyUFeBnjx5Uj2fZ86csd0nx0Wqr/ks6v3KgKFsPwu06mBbeY/IrBpdya2Dz64MOsltONbJsd+OFCfJz/uE95Aknzm2cuzLVDRXt7MBoIooymtSUlKCUCikiGlZnFG2lwp5fs8gLMloPfOGmTKyT4oFju3052ZQ2W2NDN439OSW95W0GZNEdj5qZBbAdXv+vL5yLuB9aUdgM9gSjUZVZpebeZ1zeSKRQCgUUu9D+nuHk9WIIbOHPhhQKi0tRTQaVQT2zfB7NzAoBgxxbWBgYGBQNHBhlS010mD4QxYAtPuOi8xc7xMS4pn8q7O1iwtDqqGpQiOoGqYiW6q7+DsuArJB2hRwAUGSnItEqQzOZO0h1XLyfEnQZErp1xXkhSxedIKI15CqaalcZPu5SJbKYenpqqu29WPpxyRxzXtMjjkkuHXVo1Q0y+svLU94T8l2cEwLBAJp3qEEr6uOfDye+fvjx4+r4/f29qKvry+t8J5+HN7XuvrTrsicHTnvFrko0GVxRMJNf8h+cyLp3e5Hkj+5QvdRtkM8HsfIkSNRVlamlI/z589XSktpQeTG5iFXlbjH41Fq7GKTSE793NXVha+//hqxWAzd3d347LPP8PTTTzvuQ/Ydr4NTIc+KigqVDVBWVma7T7kPnrNUEXP8PHXqFCKRCKZPn46ysjJlAyItoXiN5D6Y8SFJTVoyAAMtWtgWqZIF+slBoL+GgD5GS7sUSSKy8CMDT3LckYpY6fudLQOB8wgLHMpigPS95lzH/elzK/uGGTgykKvPhzI4QRV7scD5EIAibOPxuAoW5fosyD6VJC4DV9KfW1prZCNvZeDajeWOLv6QdSOkSloGzRnkSCQS6p7JFlRn/3H+kwFOtlnCiczWldnGamTowev1IhgMqvvDqK8NblUY4trAwMDAoKgwxLUBkK5qlpDKqFzuEUl+SnI015dvWZSRhIVsp05a25G9JHOykb8kRoH0YozSpoH7kYtm3UNUV4TroOpN+krr7dAX3rmCilH5b6reZBE0erfyM0kYSlsVFq7SLTt0kpGLeL1wIc+D9wIJHaoB+Rmht0UGMLgfWUiNoCKcZAWtYiSh5+RLnYmA5LlIRbFUVo4fPx7Hjx9XZH8m+yV5nvT9lZB9lg9ZTVIol21J+uQTIJH9phfdc9sGkjcMcun7yQVOpDUVr4FAAC+//DJOnDiBmpoajB49Wt2PUkVrB0kc5qp+t9uP288z7UcGQuzw5ZdfpmU/cDzTn0/e3xzLSOKTKJNkGPHMM8/gm2++gWVZuOeeezK21c6Og4rVLVu24ODBg0gkEti1axd+97vfqe8jkYh67tnvMuuDGSz8HW2OaEch1ckS+hjFMZ/XngE6Of6SMI5Go+qZoVo5EokMCKoBUIQy98fPMkESoiTwOZemUqk00t7r7S8gqauY+TteP9YFkJ7WEgymAVBjfbEIM7ZDEtZUluZb/Fjfv17zwo68zeYRzXHILXEtgwyETmBzTOO7DPtCehtnU59zTHSTPSZJdL0/ZAaEbrnCfxt19s2Ffn8Y9bXBrQhDXBsYGBgYFBW5KsYMhh+4uNMJUqnSckue6v7VhaiFSQyQoKTCjQsqqawG+tPF9QUg2yI/s1NPS/KHijsSK26Uz0wlz7YAleopneCWSut8g0lSmU5SgISFXGBz/wxOSBJLV+NJkk4SHpL8ISkhPUj19HsAilCW10UncCVp7ff71X1FRSCJDkkQ8DhAv2WFHTHsFiQKpK+2JEV5rJKSEjz88MMYPXo0wuEwlixZgj179uDgwYMYN24c1q5dm3bfyH7RC1tKSHJLbpOJ1CU54rRfnajTgw5OpG9XVxc+/vhjhMNhrF27FhMmTBjQT4C9aj4b9GdV308hkG1g8IX34qxZswaQz1T4kiTQg1b8rW5Fkys4phQKr/d6EUnZzlAopMiwVCqF5ubmtG3WrVun7kd9/qfqlv/m31Ity89SqRTKy8uzWqRI6JkrxPHjx9U929fXh97eXlRUVCiiWI6VnA84lsViMaV8prUGrzVJXtpg6NdKtkFm5fA+tAva8v6IxWKIRqNKHU5CWz9XoD+YIol/qm7t7h8ZFJPXh4SjnM9kodhUKoVwOJyWbcR+CQaDaRZO7FP9uMwUYtCAmTbFIDLl3CfJa3nfFQt25K30hpb3h/zDPsrFLoT70SHnJypoJYEtlfPhcNjWr1yCARo7xbzb/pCwsxqRgX5jNXJzwfsjF3W+gcFQgQmzGBgYGBgUFSSzDG5fUF0kX4ZJZmZbSAH9hFc0GlUqrWAwWLDFhVSB64tnkuP0aabaTqYdc0FGYiAWiyESiSAcDiMcDiMajaYpU/k3VXqBQACBQADBYFDZSzg9KyStsxWaJEg86ESoVIw7KbKzgftk35F4orpZX/To6lFpOUD1NNPVgfQ0eEn285yoCNP7h2poEieS9JNEq9yWhJTf71feqDrpJf8tFfCZikO6gVzAZ9umpKQEixYtwtq1a9Ha2opt27ahtbUVhw4dwk8//TSgLzLth8fUP5f3vhOoKnaCPA/5b6dnnJ+///77uHjxItra2vDhhx+mtUH+Ox/CmcQ37/189yMhVaYEryOfY96TksgPBoMDAnV2Yxj7RT6/uuIzH+Q6F+sKaEIS01LN2tDQgDFjxqhtgX7/YWCgWl239JF2LNnGdkmKkqSjz7Ku9h03bpzqO35PUpfbyvGX+yZhSNsXjve8FnoAjG2xA4lMfc6zU2uTfGS/yKAPyXV5HGlhwe3lM+3UJn2ca29vx/Hjx9HW1pY2d9H3mvuRQTbpTc7ALscJ2afymQDS7/tIJFLUYBL7hwSsXR8PBpglxfkkFAqpLINkMqksX4D++92tOj4TGMSnfVU4HE6z7/D7/YrAzvSeQWLdjY2RG8jMMfZJWVnZgH6JRqMIh8OIRCLqvSmXYsgG+YNjOAub3qhnxcCgUBjFtYGBgYFBUSFJKxPFv/3AtHip3uGCVi7OnbZlKixwnXDIx68yW7uYsk4ChemyXASStJBkpSRfeU60w9DVQyS+ATgWQST5Q+9P/Tck79ymPHOxSsIdSFeMyzTxXMD+oDqRi2ppxaEToKlUCsFgUC1GqdhloTpasZCQpnpMWkvoCkEqHgmS8vL4bA9T14F0MlsPpkh1Ka+zTtTSu1ZXHMsic24WfSTOpLKc7WN/Sa9bIpFIoKurK634X3t7u+0xqARlMTB6TPMZkupNOwsCO8jnUYe+rex/9o/d/oDrKliCz6YMjNgpiN2SGtw+H+Wyvh8SmdIqh2A/S7KPpCefFT37AbAn0e36KlM/DhYYMJPgfQlcv+YbN27E1q1bUVpairVr1wLoJ3wBKCIM6LfkYV9wPJDEJceWbOfJ55MEHcczBh3ZX6WlpfjlL3+JHTt2IBaLYcmSJWn2J/KaRSIRNX5zrJDqd84XDDaGw+EB1hqZshyi0ShCoRD8fn/aPcmignI8lpkgzAaR4yi/j8Vi2L9/P7799lsAwKpVq7Bq1Sp1/TjWSMsJeQ14fs3NzXj33XdVwHbTpk0oLy9PKwIYDAbTbENIwvMYnOcZ1CFZyzHHTlVLhbv0yC4U8lpwzJb1JG4UdFU27zXpec/7Viqy9XnJ7dhFBS2DGOFwWD0DvH8YYHfKdOMcmI/q2i0yWY3o6mxpNWJ8swcPRn1tcKvBENcGBgYGBkWFk0efwe0B3f9ZKoedSFgSV7RiYFp9Me8fqua4WOJiT5IeUpkkCRdpP0ESL9MCj8SKneenhEyXl+Q1ycJcF912ackkEOzsTbJBWoTo5yGJciqludiW7ZbFAkkSBYNBRXKEQiGUlJQMSInn8XkedmSfvhjmfaYrduV1tDtHEjTScxvoJ711f2edBOO9IcmG06dP4+eff8akSZMwZ86cNEJe2jDwXJ3Ir2QyiSlTpqCyslL137Jly2wJc3must90MlVux/s0lUqhvb0dZ8+eTVPRMsjjRKTIYIi0V3Hy/WY/3n333fjqq69gWRamTZuWpqbNVf2l94XTsfOBDFDYEek8Ngk4aQkk1cUkreR+3RSMdEOOyt/akftugysSDHrwnpLPVU1NDZ566inb/uBnbDNJO6lWlxkSvCel77TT9SPBKvuNVgk6CWxZFlatWuVIivLcGNyz6zs+Mxy7OJ6T4OO5AVBjpFT58zgdHR0oKSlBRUVFmrpRJ6/1dybukwpiErIlJSX4/vvv1Vi1bds2rFixQo1BJKPkOCXHBBZqO3DggBqLUqkUzp49qwqL0hKKyl4WBuT5MfhAFS3bK62knAI3VHyyvxiQKHS+57PCPuacXixbknzbxHaFw2FVq4BkLTNDJFmrZ065gR2BzXcu3g/yPUzPlOHzXYzr4BZOZLYktEn48xyN1UhxwWdReqMb72uDoQpDXBsYGBgYFB2ZPPoMhjekTYi03LAjrbkwkQWpinnPSIUjvZO5SNQJSukT6kSak2wNBAKOx+RiVE+pd4JOXrON+dqisFCjbnPitjiUBIkquZ0keCQRJQkO/saOmJaFMblIljYEkgCW6ct2xJ0kyHVPaqnaJfFq159SPal/L/cpz1uSgLQqkN6yLS0t+PjjjxGJRHDq1CmUlJRg9uzZtn2sq9b1fibp8corr6C9vR1VVVXqObEjIyUpTkWktEMJBAJp9z7Poa2tDX/+85/R19eHYDCIRx55BJMnT85KWgP9lhnSDibbvTtr1ixMmjQJ8XgclZWVSCQSOH36NILBIMaPH58TIeFEypIYcaNYtjtP2uvYqb/5e2YTyKwDafshxzh5TrrtRKbzyieNW39OnYjZK1euoKamBuXl5Wnb6RZAMrvAiSCXx5NkFJ8NuQ19pqmM5RzB59DunEk06yCRRcjCq5n6h2OkHiSU2QAk9SSBlkwmBwSfmD3CQB1/u2fPHvzwww/weDxYtGgR7r//fkQikTTFNwN5rBvAe0sS2wwSsh90j2xmtMgMFd6f8nqyD4PBICZNmoRjx/4/9t70W5KrvPJ+YsipVKXSXJrQgAQISZYAu21ASECDAQE2khswbrDx0I3by1/6f+nVvVZ/6W4stzF+G2PADBajDRg8MAgxCySQKKERqVRDRmZEZLwfyvvcnedGZEbmzSEyc//WqlVV92ZGRpw4cSJjn3328wN3Hi655JKxVRN8XiA0c6wDxmr0d9zzeAUJ7gO8v2hn3PMHg4Fzcx/0/o8VRpiQwOTCspzEs+wXnxMItpjQwTnivoOJSqzkqDMmThKwUVS0rK1xD0PfWBcQo/1JKJ5E48lkX8iWO3s+5L4Wm4CEayGEEAtnHoeX2HzgnMaDOD/48mvYSbOIOBD/wcaP9sADLMQMPFxzfAXEgUn7wdur2g8IK7O4pTk2BA+q82RRQ5Tw3aFoi1m2iXPkHwcLW+yc9MUujliA04uXSsPZY2b7xG4AwaNMOOXYATMbcxiyiIq8TV+I47bBtuoUNuSxDS5bdl6amT3xxBOuHwyHQzt+/LjdcMMN7j04HrQBRDDfsQvhHuftoosucm3L57fMSQ0gNkGAK3tNmqb28MMPu+NPksS++93v2vOf//xazj+IMn6UyzS63a4bKz7wgQ/Y008/bWEY2kte8hK74447pr7fbC+igMVpnKM64vAksArEB0vuETHD1wSuM4hQ6KNc4BDna1ohRkz81b2Xlk0q+f8G/X7f/uzP/syJpe985zvt4osvHns/JqKwjxCZq4RrgGJ//rEAnHOcNwieuD47nc6+IpZ8jHwNcuFQjAUQkeuMvzwuYfzn2B70o1ar5SYtcR65/kBV3v9Xv/pVt62vfe1r9trXvnZM1DXbi2Lh8QTHjwlNnAMc2zvf+U7767/+azMzu+uuu9yqGoyBEJohhGK/cS6SJLFbb73V8jy3Bx980G655Ra76KKLxib6cCxwm0P8RFyK2fhEDdoTfRYiIiY2yyZOITRDNJ2lcHMVLF5jHK07kbxMMInmtwOLtfjdmTNn3H0V35UwZtRxHLOAnWWZE7A5poXFSbQPF5hsCmVittl41Aj6Oa+AUtTIbMh9LZqOhGshhBALhyMVxO4AF1YQBE7ggCDBThkzG8vRrAOEjjKBmh9W8HDH/+cIEM4JxYManHLT9gVCatXr4AKaZ7kthBGI+bPCAjHEA4grfF7qAPdfWUSI2V6UCR4KeSk7x0ag7TudjnsIT5LECdV+xAjgjFbssy+W4TVcQK0szoSXzVe1G/bTf2+VqxR9jJ21/NprrrnGCZWtVstuuukmM9vLO4foie1hG/55LxPzeT/43zi//j7jPHHuqy+YZllmx44dc667Tqdj1157rfv9NIEVkxyg7sQlXtfv9+3EiRNuG9/97nftNa95Ta1twO1atl38vM7+lB0fbxdCGLbHEzTssoWADyGdV5Ggr7HjlD/XX3HgT8D4x+Cf71kmi3/605/aqVOn3Hu+8Y1v2Bve8Iax1/AqAt7/aZMSLLya7U3MoT1xztAOfgHcqu1jQg79GKIkO2yxjVlWl2CVCqISICDiHCLjmrP48T4+Br/gL4Sf06dPu/3H8SOLnuFir5zljRU0KCabpqldccUV9l/+y38ZczlDYMZYiPZBn4K7GffNJEnsZS97mf3Kr/yKmdlYQVOMKTwRCLETuckcd8Gua54wguCNnOUycAyYZFuE25PFa1yTGHvXhR/jNQmMMbh2fJEWfYOF7LJ7PO7P6M/oI1hpgMkYPm/o700H9+E6USMsfitqZDKY9Cib4BBinUi4FkIIsXDwkF3nC7rYHiDsQkSAo3Y4HI65midFcZjtOUr9v/nhg0XxSQ8gLPz1ej3nisZDWt3iUNNiQiBqVMWiTAMPWnAQzhIVwqI1PpuLUM7qti6LCDHbO0YILywuYyk7RA5fuEP7ce4qIhYg4LHjy2xcxOIxBfuG18Lh6ceFwC0+6finxWCU/dw/x75weu6559p73/teO378uF166aV2/vnnj42FaC/Ow2UBlo+Z2wWwEMqwcMfHx45ojk3h959//vn2jne8w77zne/YlVdeaS984QunthH/noXduuDzUfjO7Ky4c+zYsdoibJVLnvenalvTBG1ud74W8W9e+s+iHBzWPGFmtjfpgfdPu76nidJ1XO3AF5yPHj3qBOBWq2UXX3yxmZm7rrlAIK47/zqrC8cfmJkTTyEu4hrF+FJF1bmCOxxi9qwiC/YDAjHuU7wvGEuR140xDuMAJjT9n/3H//gf7cMf/rClaWpvetObnLO7bGIfBfS4HTieBYIbr6wBPGHIk6uc+Yy8YwiWEK8xRsPtjckAPm9w4XKNB+wnj+Nm4zE4uFdzTjac1f454mKCLKjOi39eEYOxLgcp2oj7SBX+qqkykRbfGVig9Z3GPNa02203pqE/m51dfYHvQVzgcp0i/7yUubN9MRsrmfyoEYnZe2AiIwxD9/193vg6IRZFUMzyrUcIIYSoARxX63xIEKsF5xxf/uHwgbDDhQqnRXv4eYUHeaDgL91BELg4DogddfsnoiRQXKns2M3OiuOz7icEBDhb4Niss39wwpUJ8JhAgAhQ51ixPd8pigdjOKfZzYbPxRJxiGSIcYBIUuY8haDCBfA4isPMxtyZ+N2hQ4fGYkd8ERIub7OzD+Zlx4++wWAf2MUM8ZdFc0ya5HleKdiiXSAocM4q2hn7jc9lcQPCtV9wEvuJ8+G7dqu+2uN3cB7WXRVTx2WLCIF5t/fcc8/ZV77yFTvnnHPs5S9/+Vgxv1m2w3ELHMcwD1wUkfs7Jq+wyoD3g69/CHo4ln6/78ZGuHy5z5ZNPACsLPBfX+f4sA+IBcE27r//fvv2t79tV111lb3yla+0brfrhGoW4tEOft+c5I72jwXXOL++0+k4oRR9GfcJiI3o92fOnLGHH37YLrnkEjt27Jj7OU9SwYnK1/4sIBoGE16+c9xs3AmbJMnY+Ua7ld0D/HGCoxz88QP3S4hscE4jaxqTr3CWc/9CW7MwCuGaX+vH4PCqGIz16Od4LdoEf0Pk51VU7K5P03SsLXAPRR+sigXBPsCxflABFWMB9nvWoseLBBNC0xzN+O40qZ6GD4uzmAjyXca8MgffM3At4x6Fa7/su8424beXokbKwXes4XBYWtxTiFUh4VoIIcRSgBC3ia4NUZ+iKOxjH/uYPfDAA/a85z3P3vKWtzjxAyKEL1T70R7+34sCQgIcsnh4ZadfXViE8oGANc9EDZzHZjb2kFpHvIYYUuUaZwGqjqAOQYSLRkG04JxXPFDzNV4mFEIgZecXJrSwX1UOYLQHXJ5Y6g3Ru9frueNjQRbbwPFC0OHjh0sQYB/YXcrb8vcNfdrPUJ4kJPp9w993M3NOTuRec9HQsu2ykFhFWbty3vKimOTErRsdsgjQzhDOZoWPg68XTLJA4PPFXbOzx8mCFItPfL4RV8RiID5jkhAM9+ysQGgoc6ezM/3QoUPuOua+zZNMfKyTzimuXX8y0u8jcPqyS5iv2SRJrN/v2//5P//H5fS++c1vthe+8IVuWxh/sK/zjsVm5toCY7EvOCMrGq5pf/UFnND+fQJjK7dZWT472gSfjzEW466fg42JFIzTuLeyOFs1seqPg7xt/BzOaBavfAGb4f3ByiF8B8TEAiYZIGJX1ZbANhYRVcDitZkd2M19kP2oY+qYNFE+y2exOMsTyPwHYjraA9f+vBNAm4xvpMAfFrMPaqbYVDAuTJp0EmKZyAYnhBBiKaxSrBDr49vf/rZ9+9vftlOnTtkDDzxg9913nzvvWEqMh1wsVe71etbr9azT6biH5VnyruvCOZsQmSAKzPJZEBfKvqizq3weoQTLsdmNa2buYd0XO/h9yI+uijqZdfkrR4TACQgRCOICxAo82CE3s9/vj8VhYNk3Z5lDAIegjX00Gy98yUXW4OzD78r+xuf6Tm5sF0LzcDi0M2fOOFEGbYPXsgDG22cHONr06aeftn/6p3+yxx9/fKwN8R4IcvhZWfvzsaIdeKkzO9zL4PbG/vmgTRguuLcopmVgT6Jsv6fBsTgMnIS+aH369Gn753/+Z/vhD39Y2Z5lBQUhmHH/5Lxevvb84+R7oD8BgYkYPvZJXiIIn/OMkb44ytvg8wZxz48k8EVrPp4ygiBwLmp+PX8WF4Xzx35cs5hgfPTRR20wGLix5r777hu7zjCRgHGU4zFmBZMKvqMbYAyD+9B3kXM2NcB+496DtoWw3+12nVCNtoZYDqc6xl8u8IlJFtxDWFDzV2HgWuF+EMfx2GQpVqBgkgTXEraBCByuW8HgczGBiZgBvK7s/hAEgavH4BPHsYuu4e3MA/oS7l3rqsHC520S01Y01P0s3Ifa7bb73oXzh37J8TJom4ceesj+23/7b/bf//t/tyeeeGLufdg0cH7QZt1u131Xxb2Yv/MkSeKuG44y20YwLiBi6qDXpBCzooxrIYQQSwHL3MV2ww+d7KhatxsFQgm+ZJvZ3M4tzo5kIIZWObHrbBeFkMr2CQ+YEKjx+WVutirw8DstsxIOUDglIZbwAy0EndFo5Bx8vlAMJzbEFI6HwRJpjveA65QFcS52B6G7TChhEQa/g9sP28f+QmjEdiDM8H6yoM0rA/B6CGSPP/64feADH3DOuf/wH/6DPe95zxuL34DQ4xeZ9OFcbm4v7HvVZAifE78NfPBzzrCtoiyWZNnMc5/A+fKXt5cV2UzT1O655x47efKktdtte/LJJ+22225zQgSL0mUOUt4/zkGGwMFuRT6H/iQPYFdvVb+AII4JM1xj84ixfD7h3sVx8u94dQqyr9FfODaliieeeMIeeeQRu+qqq+ziiy92OdH+PrMwCgGEXbf+dXDxxRe7savdbtvVV189dp78FRJoO3/crAMETsS4+PntmEziiTJMXGJ/OQsbQjNWU/CKFs7oxyQuR2lgNQ36Dwo6IqsZIhvOC8YcCNw8IYB+CuHdF5ARPQIxCpPMKFrpF1/EGO3XJEAb8aQbt09ZP5jkvsYqBkwWHSRnFxMHmASZ9759UOBonvTZfE9c5Pco9BleVYX+hQmRPM/t4x//uLvHf/CDH7Q//dM/3TdhvCvwZDLw+zoXzGRX9rZFjeD6x7iDmDq5r8UqkONaCCHEUpDjeje45ZZb7MILL7RDhw7ZBRdcYL/6q7+69i/qEETM9lzXcIrMs19Vbus6AtS0fYSLtwo4S+EghGiNPNppnwERwncBlu0LHkYKygFN09S5izhrGpEIeNDlpfUQILg4HZbVQ3D0nc4cKcDioy9Q4TVlrjkWPbIss36/70RH7BNEaIi4ZVEc7HSDkI79Go1G9sgjj7iH+iRJ7MEHH3T7w5EFvO2qtp8URzIJPExzrMU0FyGEiUnUGbMhfNQRkOq8Zh7hGu/BOS0DEzvPPfecE2iHw6H98Ic/LL0/VZ0nPqdYfYBJFX6NP1kL8YKFYrT/tLGIfw/xfBHxBlhNUQYiLuAcZFd7Vd/C+X388cftgx/8oH3uc5+zv/zLv7THH398otANQQ7jBrv3WLg2M7vkkkvst37rt+zGG2+017/+9fbKV75yLFsck08s4kJcncd5zREKEGU4AgbiL+4L/tiK3/EqFExCwb3ZarWs1+u5/oH6EGh/9E98FsZejhDBvvIEDF+bfowR3P1lcS0cXYEVC/i8qlghtEtVXjMmSyfde3g7Ve5r7Afivg4yscYxLMtYeVJ3H+pMQpVNpC0admVjNRwmlwEKavb7ffcnSRI36YSJblyH2+48Ntu7/2ICgFcStlqtsesXbTYYDMYKo24yfE0Oh0O5r8VKkONaCCHEUmC32ba4DcR+Op2O/cmf/Ikr6Lfuc93v9+3DH/6wnThxwu644w679tprD5TVCGHEd0fBSYiHlFlBVECd/eLih2b785KrgHAAd1yV8w3CAl6PyADsH44R1zQvj0eUCMd18GfCTYm8boggEI7Nxl2fXLAMwixEKnbGlgkOnMHKYHLAL2JZJYD4cSFoD4hY11xzjcvp7na79oIXvGAsZxbbYNE8TdPKWIgoilyutf/ZWZbZyZMn7bHHHrPLLrvMDh8+7N7vCxu+Q49/x8XrpjFtKTuEtDqCIK94qEsdwQb75+dM8zbQr88//3x3zlutll1//fWuP/HnlB2zX6SQnfD4DM5e98cKFqlwXJyB7LuFzcw5ZTn7Hfs7z0ombk+IrVXRDGY25oBmgbjsfdjvBx980LVVkiT20EMP2ZVXXuncv9wWmCiDEA+nMX6GcZX3/+qrr7bLL7/cRQ9xxBAm5xAJBYcwtsEO5WlgAorbGp/HqxHwGfg/xj2IVbzvPH7656Xb7TqhGI5ibJfPNY/PaC/sQ9m9AOMJ/54nDv37gC9S49qBKIc2LPssCN9cbBagfSDWVZ2DOu5rfwJx3olo3t9Jx7Us4FrF9T1pP9GvVkkcx/byl7/cvvrVr1oQBPbGN77RZW3jO73/B9ehP/kHgXfSH7xuG2BHO+A2wvjAE9a+M3uT2kLua7FKVJxRCCHE0lCBRrFq/uIv/sJ+9KMfWVEU1uv17E//9E/tnHPOmXt7HH8CiqJwDrkqt9kkIHDOIqawKFr3QRsuahaR8ZkQQtgNB6F60vJWHDtAsS9sH25tuKK5IBZHgbRarX2FGv3CY2bjYiz2Ew5yH+w7hHU8+EN4YdH62WeftSeeeMIuu+yysaX7ZUAs4vZ4+OGH7Tvf+Y694AUvsOuvv760bbD/WOLP542LviFPE8I1Ck8Oh0N76qmn7AMf+IBlWWatVsve/e532wUXXDDmypwm9Pp5tZNAjMAiMmDLBPRpcIHMOviZvhwpwRMZJ0+etO985zt27rnn2otf/GJ3vmfZR7QNBMQoilykBruL/QJ4flwGfo9z7Is9fH2g78KJi7bhc57nuf385z+3I0eO2NGjR/fttz+h4RcVBRCNUQSQYyPQjriu/UmL48eP21//9V+7yZy3v/3tduWVV46tCPAFLTMbG49Q+AvXgD/+nDlzxrUf2hXbxLXlj3Nme4Vup423LFr7xRH9cclsL38a1yELzRCf6xTFNRsfD3Cu0c8weYCxxGwvjxqfxZ/LLnnfqY/YpKqCvmgDbBtjH+4Vk6I6UJgyiqKxCZ9HH33UPvrRj1qe5/bqV7/afvVXf3ViW2AfMAnk7yf6ClbPzCs6c4RU3fO0KOoUX+TirqsGUTlV/WQavGJp2h+zaoG77HfbgC/489juC9nrXsFYF/RpfJ/ahH0Wm4Uc10IIIZbGuhwjYjcpisKeeeaZMYHk2WefdYImHgJmeRDwY0IgxprZXA+UEKvqLvvnh/herzdWlHHSAzuEabh8ccwQkv1Yiln2h7fHwh/+zRm/LJJBYIHgU1WQk7NqcRyTnLEsyuBh22wvygUOUjyA/+AHP7CPfOQjNhqN7OjRo/af/tN/KnWgwgVYNn5dddVVdvnllzvh33+oZjcmi39oZ3ZjM3AvoW2+973vObEMRbMuvPBCd7zo05NcuH72ph9nwW07bRn+LMvX677Oz9X231cVO4W2ZJEM5x/ON+zz4cOH7eUvf7lrB3zGpExvnFN2+rPAgH7ttycmGcr2nd3+cL6ePHnSPvjBD9qpU6fs6quvtrvuusu5MdldzH0G28zz3P78z//cnnvuOTMzu/POO91Eig/eV9XX8zx3QiwLtujXfsQPc8UVV9hdd91lDz74oN1www127Ngxd637DmRuc84t9uOFfCCm43qumrzCNYTxGeMIu7x9WAzl12CfcN/giTaODMG54LoAeE2d4qOcNQ0XP0+SYAzE/zGGmu1ds3BMo99g38oyuP0MbD4/EIPhvka7oQ2rJgBQtBJthXoJH//4x+3kyZNmZvb5z3/eXvKSl0xsE999jXZlIROreNB/5vmOyedz1SvGeMVA1X18lrF2kUyaPKrLLE7qOi5uvA7b3HQXN/bTP/csYiN6Bd8vytzZTQJjmNzXYlko41oIIcTSqHrIFWLR4KH61a9+tcsaPHbsmB07dsy5Pzhz8MyZM2MV4ctyByEUsOMIIqDvwK27j8PhsPYqBHYA4qEajjo4oqqAS48zqrFNHCeEi7qiNYQCM9v30IXt4rhwrFysEJmx2BaLPhC44S7H9rF0nik7bnZe+vnLvmvvS1/6ksucPHnypD3xxBP7tomHsEnnCUvXywQ0tCfch2gfuERx3L74z85as7MCOdqs0+nYZZddNtZP0Uer4GgFdmYC5FTWBcLvJA4idpQdS5l4g/NSFhXii0K+q5rbn0Vs//3cn8322jKKIifqYKk0vydNUze++H0DgiDcq0VR2Je//GV76qmnrN/v24MPPmgPPfTQWDHVSbECTz75pD333HNOfPvqV79a2X68CqHsNeyyRVYru7RxDXP7c3s973nPs1e/+tX2vOc9z/2urO15VYbZnrsTkw1BEJQK2Ox49/shHxM7lrEPiOso2y7uHb5ojePEpBM+k8cSnvTA7/B+iMt1vwMhA5sjVcxsrC9wIUZ/bII7GlEaEHj9jOlpueVm5jKPzcxFN6GvV00u8AQLxrWy+2Td3HE/+5rbGucUYv28Gbu4x6APrAqcv0ljt98PVoVfwHPZ4F6PyZZWq2Xtdts6nY51u133fQ5/cM/iwtFYEVAni5vzuNcxMTAJ9As/NxuTM7i/cG42vsM24XjwfZLjn9a9T2J7kONaCCHE0pgnj1OIecBD7U033WTXXnut9ft9O/fcc10kR1nmINwtEELwsM+iLD+8wZGIwl+zws7jaVQ5APn9cInx8n0ukMQCCoR7CB+cWzrtARWiFudUs8Mar4Gwg1gTtCHeg4cyCNNw/kGEwDGzy5CFn5/97Gf2+OOP23XXXWfnnXee+2yIUhCI2akGcZG55JJL7Oc//7kTWA4dOjT2e0R31KHdbruCYvwgjf7YarXGoiTYoc1tyPvb6XScIHvDDTfY61//envggQfspptusiuuuKJyTC1z6LELHcIMv25S7vXx48ft3nvvtVarZW95y1vs/PPPN7Px4nVlzPqgOk3EKtse+gr6MWAXKYRr9Ley7fhilf86v61x/WOfcW2h/wHkvvsOZ857Litah33n1RIocIcYFc5HPXz48NgkycUXX7y/Af8Ndo5XnaNJMUTch/zJE4ZjU7jtWYhjUZWds0VRuPYtc0jj2vDPG/chbJsjQzDGcJY29gt5+lWTkZhgw2eWTXLxuFu24mSW1Tmcew14TGR3MIufaZo60Q9jO8cn8SoAjMOTlvRDOMbEAs5RmqZjOejc7mgrHnPvuusu+//+v//P8jy3O+64w22zLILJZ5r7mp3qkxz1k+DccBzXKsD9r0ok5nvDqkRkjgpqGot0cfNrsM2murjL3Nl8PKPRyE2IY5xdd242rksYJ8oif4SYFWVcCyGEWBpFcTYTctX5gWK3wEN1mehSN9/UbL+gzVEPDITSWZZrlmWvTtqPKtGaX4NjY2EIogQXneIsXV66z3mo0/YFua8sEPNS0MFg4Fyh+B0equAQh3gEgQXbgpuIc17Nxp2S3/rWt+xTn/qUDQYDO3TokP3e7/2eHTlyZGyZOASzOI6d0ycIgn1tnmWZ3Xvvvfbkk0/a7bffbpdeeqn7XRRFM0fA8LlF22D/OcOUjw/nDKJFHMdurOQ2Z5GxSjDGz3nVAL+PJxuqHLcMxLb/8T/+h8sVvvDCC+0P//AP3e/LVihgX6q2j4fvRUxm4rya2VjuMPcHRDxgEoXbxo/K8YXPsmPD+e31eu4aYoGHi2vi2sN1AbjAI2I5Tp8+bX/1V39lJ0+etKuvvtp+4zd+Y6zvY+UEu/RZRH744YftK1/5il1wwQX22te+tpZAUBWRMu1ezSs96rYbPovjPfi6QGwKHxuc6WVjIOc7A8Q+MPx+wGMrxMowDCsFXNwH2GnOznOAcc0fP/AdaJ4CgP54iPbBuIH943OASCQes4ui2Hd/xD2zzniHYwCIA0C8S9lry7KRueYC37/8SJpJ+1GVfc2/mzeiAJMFmGxcNjgvk2K/Vl0nBtdhE4XrZeCL2JP+mJXnbU8SutdxPBgT/JoI64oamVRwVYhZ0NSHEEKIpYEvcKt0jIjdAo65qiJNdfJNAT9wQPCCwMJOYHY2sxumqphO3c/n18J5y64r31GNz4RAgYdbdltD5GFxIM/zseXndfaFxV8If7xvXBwPggJn0fIyc7yORRlfjPLjLb7//e+716dp6orRcUEjbBPHxhMPvmP9zjvvHCt4CeZ5YMe+stPUd0jhdRgP/RgAvJeLUprtRVlArOLjAqPRaEyIxHnFOeF29oXFMgGTVyAAiMA8oVPGJFGc+0kVk9zADK4x//P4PPt9FH+zoF+2lJlXBbA7HrnAZuYmwxgW9HGd8vGiP6MNcW2ce+659t73vtc51LASgF10fjvyObjqqqvs2muvnWlCwD+HOEY/GskHKwywH/5+cVv4E39FUZT2X4xLOBeYAEP7+GMn5zuz29kHE2Y81rHoD+HWF62xD1jtEcexdbtdNwGI8ZBXsHDeue+6hqg964QYO579NvZXEaBNeAUL8rLb7fa+feDJrmn3AkzAYVIOYiviF1jk5dUOk8B5wCQZC7RV98hJ7mv+HYqZzhp3wREqmExcJnDMc4SWD8bcVQjXGFcmFYzcNhbl4vZ/j22u2sWNPuWvMPRrM3B9DN+ZvehnNXZfV01qCVEH9RohhBBLBV+8Z3UbCVEHuCmrHuzwEM/LgOt8MYd4wkKv78TyH17KIkcgrvm5y2WwUMw5rb5QzU5MM3PL2Nm5DCEITkR22uHYqnJz8To45MqEHcBuSXZwQ1jBtnjJPtoXD3xYLt1qtZz4xmLXcDi06667zn7yk5+4rNVjx4657fC5wL85ZxXiCv6PeIz777/f/umf/skuvPBCu/POO+3cc8+d+6ENgt6JEyfszJkzdumll+5rW87m5YddLlTJAl2/33fHh2JkgEUrOCz5/JQJRxB2eJtoD34vRPKbb77Zvv3tb5uZ2W233Va6TRRiOnLkyFxt5x/HtOKQPlUCGY7D70/c9ixq+3mz/n7hYR/noex6RqSHWXl+MCYhIKxBFOfJL+wTJuLgjPXxReoq0fozn/mMff/737dOp2PvfOc77ejRo6WvwxgJ13DVucRYW5Wnyu3GYrjZuHDtfyfguAYI9iy4+vEewP837zfETH+lC4/RDLurMcnAExUcf8QCkV800xepsZpinu9ByL3mlRx+O2OyEOcEq20Qq4LoDl/Eh7hdZyUQxHou2Ii2ZZGXhfWy+4b/GciYhhiN900SaicJYVwgDtfrrOI1T1AsWzD2Vwf51J3IWwTTrv1dp66oO8nFjWu0SuD2/18mdM+z32ViNgvauL+Z2ZiYvaioEYzFmKT3I3+EqIOiQoQQQiwVLmYnxCKZNX5jWpYpA9E2iiLr9/v7XMfTPgt/+IHAbDyvkB3acLKx2M3RH9OWdkJA5sxfdmFzG+C4EHvgb5eFiTJnDMeCmO0JIJy3DQcdRGO4Uf2l71gmHQRnC3Ch4GGSJPuiCH784x/bz3/+c7vxxhvtwgsvHBP+ILz5x+ILs+CZZ56xP//zP3efc/PNN9tb3vKW0veX/b/sXNx///32qU99yszMLrroInvPe97jziX6A5/fsu3CxYs2RBsgx5UdwLPCIhtclOzwxX7y606dOmVRFNk555yzb58feugh+/jHP25mZldccYXdddddU6+POlEldcD+s1OfH46rYhb48yGUw93LcQgMu17Rj6viCDguxMycuIf3shiOawYTGnAC53luhw4dcseA/eZzBzcpT1j4PPHEE/bBD37Q7ft1111n73rXu9wKCAjEZmejO/r9vhtvJkUlVInp/vGWTQZATC3LkYdozBN/EIDRTyFYmu1NBAF/vAM87nOhQYi5/iQFT0qwqxr3DUwIttttK4rxGA30L39cxX1gVtc1wAQetyeE9Far5TLVeczAZ3F+OGo+8OQYjrtuPAbnb7OTGxMauO78a2Ra7AUmOfi4pgn9VTEEONY8zydGcVSBSJyqPrUocM6qxhO0h7+6Yxn7MW+kjZifKhd32e/Mluvi9gV2dmn731cPEjWCaxMrDTRZIuoix7UQQoilgsgFIRYJRNi6xZgggvDy6UnbhjjFxQzrfrlmZy9ER4584II6ZSIeu/3qfibEaIgGZQ+gEPg4VxliN4AoUfXAzg5KP7qC3dS+0w5CANw/XKDRzMYekNAmfttcd911duONN44Jfjg/EKNarZabaIBrFZEAcMpyNAc+58SJEzO7fX2+9KUvOUHv6aeftieffNIuuOCCfe1XJjrjZ754ijYoiwuYFV/A90XWstcdPnx4bD+Yv//7v3f7e/z4cXvuuef2OXp9h/Mk4bqOqA0xFPvtHxP6py/oQqjlvont+IIdYhfKxAL0kSpxp0xgxr6gjyNmAcIc/o39x+dgIqbM2Q1BDp+D9/qTE/77eB95X3Ee4RqfFLMwyXXNY4YfkwJnn1m5IxcrUyBuQwTtdDqufeA87vV6++KGqiIvsBqCM4w5QxvjDsdNYSUET7xhXzudjvX7fTeW8H2CV5H4rmvf8TwLGM8g+HzpS1+yb3zjG2Zmduedd9oNN9xgrVbLtR3XOUB/g7DLhRoxWTLtnDM4b3Do832EJ1wx3oIqVzEfI+4piA/BmF71vjL3Ne6bWB0BYXiWeAIuArpMMRf3wKp+getmWtsdlKpVJGK5LNvFzf+e5uLm/1dFjeB7K/rjPLnZZe7rOpNUQki4FkIIsVRW9cVb7A4QrXkpdx3Y8ednczJ+lnVVfva0fcTDPETrsugPfmiNosi9Lk1TJ1yVObR9wcd3OfqCErbJbjuIvBCx2NXoHy8LOXAoQghgoQzH7Qt2+D+WcWObLNSFYVhZjAz7y7EfnI1rZm4baAOeLMiybEyMv/rqq+2iiy6yp59+2oIgsF//9V93hRGrHgj9h0J/GS22h9cdOnRozC0L8aTf7485XuHcZCEQLnY4D/12KWOSE9sXhfGZkxy7ZdvlOI/Dhw/bk08+aWY2JgDz6/kzcYxVAnUdJzYfnz8JACcX9oGd7Zi4QJ/A58Hh72+HJ2Qg6uKaKJtQKnPE+vuLSSycZziwOUKChU8W+llQ8KM3sA2zcbH44osvtptuusm++93v2qFDh+zNb37z2KQQj52Y1EMbsbhZBvKjyyiLfCk7536e9mg0ctc2VhjA3Q3xmo/Pj+qoikuBOIgoBJ7AwwQmIjXYlY398MdC3EcwnsGFz58/Ket6Xgcvi7Hf+MY3XPt/9rOfteuvv96NJTiXEK87nY6Lu8FYgrGT7ym+2D4JHnt57Ma1gXFunu99OM66+ddlQhhEelzfWMlQN54A577f71cWfl4U0+JClg3uj1oV2VxmcVJPcm9Piyqp+uPH8fkmDM7N9gXtKnGeJ5141YGeE0UVEq6FEEKsBAnXYlFAeKi7tJlh5zUebMu2j4d+uJ9nAcI6BEt8qfczqvE6Pzubt8MPGxBDcC1BIIQIhgd9FiwgbLHDk9uC3YJ4WPevUzhY8XuOP/FFM3ZU8vYgZkO8N9t7YGehi+MbfGHSF8wh2HNRLY4L8Qtq8oNXGIb2h3/4h/b0009bHMd29OjRqe6nMqcTzsdoNLI3vvGNFoahnThxwm6//Xa3vJvFSEQnsYjH2ZI4fgjV6CN+G/hMEq2Rp4z+iP7AD67IdkXb837hddyf8jy3N7/5zfa3f/u3dvLkSbv99tvt0KFDLlYDcRO+uDlLTEiZ2OkLwT74XD9WhYV3FuvRd9gVjrYCuEZYIOX7GccVAGzHzyXHtYAVHH6Wvv9adqNBGMRYgnFq0oqm173udfa6173OiQIY9/xjRttxv57kwKw6j7geq1YvsPiMYpdoK1/o7XQ6brIMwgauf4iJHPFStZIBLmXsNyYi+VpHv4XTe5qIwitcOp2Oc3XzPkDY5vdgcnBW8dqf+OT9Qh/O89xNivE4itgnXN/skGZBHduou28Qnng1DTvpMUngryaoC+dfwy1fFanB++O7r8MwdBOmmASpI0Lj/oV+sSzxmsdb/9h48mpZkSVYhbLsPG+xGpbp4ubtTxK1MVbh+06ZMxt/MEmFSbB5jCJiN1DGtRBCiKUzLdtQiLrAgXfQh0h28vlfuhE1URRF7c9hwYeXUkLg8IWSaTnS0z6L3c+8qsFs/EEYggXyOstEaYjs/u/ZScOONzgh/bgOFpazLHM5r2jTTqfj9tlsT7jGe+GehKvQd1eyQM9ZtSw+QrDENnFMVYJFURQziRnTzgvaZh7Ywc5fzyEs1SleiKxiBu/3Yzt4v3u93lg0wkMPPWRBENjll1/uXovzMinqA+IcZ+r6jxq+ID2PGG+2P0PZbC8znV3SeECG6x6iPQQtM3NZ2ThWjtFAf+N9Rj/EwzkLgyxE4xjwN8cY4HPR91nkx8SNn9mN88QxRP7kQNl5xnaQY81RSBAveRIM11FZZBCPGWV9oawP4rWIu+BMerh8cXw+XAAW5wxiNMRtXBcYc1g44fNVNuabjed2l+Vvl4HrHZMlvJ/A/yzsa53oKUwQ4Q+uryiK7Ic//KF96lOfsjiO7bd+67fswgsvHFv5wqsN8DOMHzzOYlxFLEeWZbVrOfB++jnfuP4RtREEgZ05c6a0pkLdz5gl/7os+5rvm7Pcdzlrfta2qcukWjC88mbR4NxPmhAQYpKLu+x3LEz72+FxCd+N+Z6Ja/zLX/6yPfXUU3b77bfb5ZdfvrqDFY1FjmshhBBLZ9mOEbEb4EF4EY4MPFyzM9lsL24CQm/V57BQzcvC8YA8qajTQURrFpPLRBE4m/EAwaIyxw/gGOF69CMd8IAfx/G+h3WI5OwwhKACRyHnkkIsYTcPO0gh1EKIQxvhPLH7hwuAlRUUY8ER7/HjQxi0R9nvZoWFVs7KhYgEoRPH4It+ZaI0XPS8zarP5BgEBpMF+Fxk9mKCxuejH/2oPfDAA2ZmdsMNN9gb3/jGMREax+GLY3gNQK6uL+b5YnSZQF32M9+F70fU4Fh8VzZERT8ShK89Fpl522bmXKq45vI8dwIkxCxcMxCBOQ4H+w4BksVZ9AdffOZJFxwH7zdPRJStTiiDrz/fYckRLhCH+/2+u0Yh/mHsgmBcdp4wzpS54/3l5GbmHPpVgiDO03A4dJMDuO6xL9/+9rftc5/7nMVxbL/5m79pl156qds+j5PojxjT2JGNY8QkxrSxGRMQKIhYFhniFw/GGFn1fahKrPaF2htuuMFuuOGGsRUZODZcC5ikwXWKCVWcN9yDoigau6anxcSUtQNPVuAehfZkJ/28QHjHGDct/7rKfc355hxNMwm8D87/ZYjXGAPK9scftxYJr/YRoopFuLhZ1Ob7rD/5HASBfepTn7Jvf/vblue5Pfzww/anf/qndujQoQUfldg0NEoJIYRYOlXOLCFmAWLNrGJvFSgExi5ZiNB+fjY7vpIksX6/74S8VqtlvV7PFaea5F5i4WeW44DAkiSJE8vKXINwFqJQF7ubIQ5hHzhWw8xcka5+v+9EZHar4fPx0IHfYbtcjAvHBqEEgg0vN/Xdd3CbQYjhcQMiA37PorXfNvz5OE5EK5RR5tydB//hDC7WOI6t1+uNCfQ8HuI4IP4zvM8sAA8GA3v22WfHtgNBtQwWW9j9z+2P8/zjH//YBoOBDQYDe+CBB8YEYcQi+K7eXq83Jn7AJehHaPifie1WteVjjz1mzzzzzNj+MWVxFn6UArud2c2OtuZJkbKHc39CgtsOfa+sKKq/D/hMFqMxrrBQyC5R/5jwp+yaw+f4kwn+vzFm+a57Pk4WCrFiYTgc7osgKhvD/BUD2D+MPbwP6FN4T5VAx0LvcDh0kSRxHNuZM2fs05/+tJ0+fdpOnDhhH/vYx9zknT9Oor9ggo2LPeJ4sTKkTrFWnCsIxjhvfM34cTGY2MCxQujFfQWTGb1ez7rd7kR3MTvW4eTGNhEHgrY2Mzdu4rMx3mMlRRAErm1mgfcD+4KJT57MOqjgi/ZDPQK+D5e9tt1uOwEbYjVEbUyA1vluir7hT9guCp5MLvvdsr4/c80IIQ4KT0piQqzVarns/W63a71ezw4dOuTGNxSQ5SK4jz322Ni94sSJE2s+MtEE5LgWQgixdPCgKMS8YHk8Z4YuArgJH3jgAfvc5z5n3W7X3vKWt9hFF13kRGx2VPMyZf9hb1omNhzRk9zYZfgZ05NyZ1kA8x2g+FxcixC2fdEe2/KLKOLYeNm+L4z5y+Dx8AG3HwRCRAZAeINggs8uc5kh55RFa79t2DEIUZCdoWXuPxT1YtfuPLD4B0ET4i2LgiysQvxjFz3OY5lz1czs+PHj9uEPf9jMzhbge8c73jHm8Pbxz4UvxEKMwUPjoUOHnHvynHPOcX0C4g2uCW4/dq4DnkjxYzCqxFVsL89z+/CHP2zHjx83M7NXvvKV9su//MuV+8/4sTk4/1WTF+zuR59heH/ZqYlYBZ5owf75beELw+yUZYc2xg6/H5blGqNNWYgs6y/+NnAN8r7w7/gz+v2+G3O4WCzeV9YffHyBHO3E1yH+DXcsj6EYVzjTmuNBys4/7hV+O2I85GKM/niN1TgcHTIJuPGxwoBXGRRFYU8//bQdPXrUOe1xrOhLaEeeKJgFCLR8f8F4hhoK2DcIlSy2c1wO+jmiMcqyaSeB13HsUNnqkoMCoRztjnNZdl/leBmOxcCqAXaeT/o8uOvN9pz+ixR84SYvy7lehnDNfU+IVeO7uLkfvvKVr7RPfepTNhqN7PDhw3bJJZesYxdFw5BwLYQQYumwmCNnh5gVdo8to/8URWEf+chHnFj3kY98xN797ndPFaoZONaqhHWICrNkc/vL2CeJGr4oCxcfPg9Lw/F7XioPoQe/Q9YpO2rx8OxHQbCoB+GPnaxww8H1x4UvAZzWcLKx+IF9xFJtLNuuahsudgfRhF1/yF9mINAcNM6oLBqBXbJwyuL4fcGNxUFMEMANysUB//7v/9711SeeeMKeeOIJu/TSS8e24wvDnEHLAiQ7jdFGv/u7v2uf/exnLQxDe9WrXmVmNiZAlWUqm9m+yUn0GT7X2JbvygWY1Hj22Wft0UcfdZ/1L//yL/Zrv/ZrbgKEj63Kwc0CMou0fvsgIqFMcC7bJsfZcJ59GIauOJ6/DWQKY4KCxW6InLyCoOzzuW/iGsG2wSSBC+3AkUb+8fF9GtcQC+xmezUr8B4uuMjgmmXnHNoQn8GTNohcQV/n6A6MB2WfE0WR3X777fbFL37RwjC0N73pTZVxDpx9POl65ygpXLeTYDEc9QDSNLWPfvSj9sgjj5iZ2V133WXXXHONOw+cM70oJzLGeRam4U5HfAev+IHAzAUmkZuOiSyOp5okZuP+g/OGiUYeyxcNzhNPYJZFieHnfhE4LnzKjs+qNkaEDtp5kd9J0Gf8MY0nihbZhpgE1ndy0TRuueUWu/TSS+25556zq6++WpMrwswkXAshhFgBixKGxO7BD97L6ju+4Hb69OmZikhBWK8SSyCwzlLoEbEkWDI+bV+wvByiEBx2fmwBokzM9pZz46EeeYN4oPUfyiFyQ8gqE+fgGoOwbLYXr4AHc5xPFsjYJQuBm+GiYuzU9tuGxXt8bhCcjbJIksQJHP7yaGx71j7Gwr+/zyjyxsvLcU44tgLvg/jFrnnsD7f1ueeea48++qhrL7+gHUQrFs/Z1ctZ2GVCYKfTsbe+9a37ssI5j7Lb7brPgPDDn4/PKFtp4y/txznlaJpDhw6N9d2jR4+O9QFuf/+a4v3GPYf3hUVafj3uUwD3LP487je8+gDXvj8pA+CmHQ6HY4XwIEjneV5ZfJMFX3+bEIa5XcqiBTCpYzYekcKiGF7HP8c1iwkj/AzHiP0vi9vh3OwqoZxXgOBaRf/lyRbsP7vFuX+//OUvt5e85CXOQVw2mcH5+ziGSXnOHCU1bZUMHMDI6261WvbUU0/ZI4884o7j05/+tL3vfe9zE2dcf2BRQIiEEMsTdlj5xuI1rmmcK5xHTLJ0u92x2Ce0e5mYzasKcJ1gjHjsscfsxIkTduONN+6bODwomACpk38N9zVeh7EK41me5xPFaIjXyDVfpHjNcSF+/M+ivz9jXKtThFSIdXDJJZfIaS3GkHAthBBiJUCcknAtZgFCzqJyrcs4dOiQveAFL3AF6V73utfVfhDFcuwylxdEScRn1BGtIYJD5Kx7vbDoijbD/yE2s5jAbluIEHEcO3dcmROLncMsmkKY4SXw/jFxATq0RZIkLoPVj03wxUUWx+AQLGsbf4yBGAghHq5ICBTY5yrB0ccXcVnw4fgFOL3Rbv5xsbvXF5HZnQixk/n1X/91Gw6H9uyzz9qrX/1qO//888eEyjI3N9oFohIEPF7JwJmvvtjIgqqfFc0ObEQeoO05fgZkWWYPPfSQ/f3f/711Oh37xS9+YUVR2POe9zx717veZWZnxe+3v/3t9vnPf94OHz5sd95551gb8fnwJ1cAjomdoyykol18sbZsWxCr+Hc8NuG9cPyzqM3Hze1iNi6E++Kuvx9+f0ff8J3iVU5jfh+3HU8c8T5gAgxtxs5yXEucN182kQWnvr9dwPuKvsfjDIvTXPwQk0IYXyEkok342maXNYvacBiX5aRzW9UVr7E6B/uCsQ0cPnx4rK/g+luE49rfZ0TY8GQIR0JhcgAi9mAwcHnaLMaysM+rEgCL2eiLcCTjfHzjG9+wL3zhC5bnuX3pS1+yP/mTP1nK/RzjLCZ0+v1+qYsar+PJC2Tw+nEiZbAbf9Hi9aS4kKoIoHmouscLIURTkXAthBBiJSyzwIzYTtiJuewHrLvuustOnDhh7XZ7purlcLL5D5rs8Kuz/xDCkAs6y0MlLzvniBAIDxAoWARlARWiOx6OIaaWORF9ga/MZcnLr/3cYLgB8VkQkYuicALYM888Yx/5yEfs1KlTdvvtt9uNN944ltc6KS/fz/nGMUO0RNE2FGbD8nHsT1kGti9UY7t+Ji2E7yqHKWIhOE6GRW04W9F3+HwwnU7H3vGOdzjnIiYO4FRnNy8+m8UQHCcLtr4gZWZj+dTYFvpJVdQHxE4WQ5G5e+rUKfvgBz9op0+fHnOEg4cffth+/vOf2+WXX25BENiVV15pv/3bv22tVsu1kZ+XO0245mNm5z9PQECIZ1eyvy2+PvA6tCGOE30E1x47yyEecs42zv1gMJgoiLJ4y+D9HOtTBq9+qNoOPgfHiOuN9xGCMb8PTtXBYGCPPfaY3XvvvdbpdOzOO++0c88917Un7x/+nSTJ2M8xcVa2egH9CqIs+iqvzsBqkiAI3KQY2qZMiESsxbQYKhavy1bNwL3KfcLM7Pzzz7e3vOUt9vnPf96OHj1qb33rW8fGVY43WrSQC5EefQv9G/0UEwG4N2D8QfuhzaYJ+zx2cDuyM/ub3/ymGxv7/b49+eSTdtllly30eP19wriO/GsI1XyOy9zXdaND4KrnOgZ+QdV5iOPY+v3+vnFtkd+fcT/wV+oIIUSTkXAthBBiJVRlhwpRRlncxTIJgsDOO++8md7DBSN98YxzW6c9zNYtvlgFi61wf0M4g5sMn2FmTogoE93x0M8Zp/5n8eoJFsQg5sLVzfEBcEv2ej0XnQG3N4t7eZ7bJz7xCXv00UfNzOyzn/2sXX311XbuueeO5XWXRbOwK5SPB0Iui/cQ3LjYHgs8EKMgvqDNIGxUnQcIpP7SbohTmIzx95HFHnz+iRMnLI5jO3z48L7PwhJvPma0vZ8DDXAufIGd3cI4V8iC5fMzyZ2L92GigvcBn/elL33Jnn766dK24+3D/c8rCPj8MP759gVSCI78enaM47xgGyyY+sfH5wjXEraPSSfuk2XngPPgeRKFl+yXXXNlPzcbjwspawMfziRmBzXag/u+mbmxBOImxxHhfMGp+qEPfcjOnDljZmZ/8zd/Y+9973srJ3EgiGPlBfoMrhm4qf1j8fcf4xTEQwjW6L8QuieJ0nBtV0WG4HVwJ6NNWKzmiSyzPVH+pptusuuuu27sWFkIXpbr2mwvvoRd8zxhyCts2OmLfYIDu6wugI8/RvBE2DXXXGO/+MUv3P1m1vvsvECYxr0P9wAev6vc1xD9eTLEB0U5MdGzCPGar0d/kmhR35+VbS2E2EQkXAshhFgJ/nJjISaBh+1lRoQcBIhXZTnQiISYtnwYr2XhdJ5rg7Ol8eCLuAiIvGa2L/eTs4m5ndHucOD5+8wOTQgWLLhzjAJ+B6EEv4eAiH2D+8vPtsXxsXBSJTZBwPfbECIWRGXeZzjSsyxzYj6EZYg4Zdv0wTHh8/j/EDsRJ4IoAbPxwrUQVZIksU9+8pP24x//2MzM7rjjDnvpS1865vb2Xd6csYwMbxaP+T1+v/AzyyG8Q6jjY0T8A5yBDPoKRNButzsm8qLv+cLlOeecY8Ph0F71qlfZsWPH3DUBEQjtw+9lIZQnT8oiMdD2LMaycxtC2yTncpmoizgKvlbKCiaWARER0SLTxomq3+Oc++5vH/R7nqRi4ZpXG2Dyhscvdtqjf/v7xJ97+vTp0mgQf5/8SRaMAxCFIZrjGJFDzIIv+hWuHR7TuHhmVfvVcRazUM/brxofEKWC3PbBYGC9Xm9fPA8+c5pwPi84Pi6Si2sBYx4fH1zlZntxR6gNMG1VQFU/fsMb3mCHDx+2p556yl7xiles3OmLyQs4qzEJMc19zdEhZVFfaFteQbQI8RoTnP49eRFRIbg3VxWRFkKIptLMp0EhhBBbB7sKJVyLSUBAaurDFR5Q/YKRdUVrCIDD4dDiOD5QFAqLidgnP4u3askzHujxen5QbrVa1u/3nSuPt+cLUhA6AQuJHFmC8wlnH7tWWRR8wxveYB/60IfMzOz5z3++XXDBBWP7XSU2lcV8YP9YdIOgBTEM4N/zuN5ZVODccDPbJ06y2IHjxvvgyH7wwQfdefnKV75iL3nJS8Zcr2hHFtR4PyDSc0E+TB5w9jAES95/TIBUZX6X9SU+BxBv4KDHv1/3utfZo48+aidOnLBrr73WXv7yl9uRI0ecKxLCLwtGOAZcK2bjTmhuPx+OkWA3PU+84Fz5Qjb3c7Qn+hBPQnCUC5+DqrZjBzj6wLQce46fqDpOvub9NuJt+Ney3x74uT8mYaIB/Y9XSeC6vf766+1HP/qRmZm96lWv2jd5whRFYf1+3x07xFUIqriWffEcDmK4qXlize8HPE5MyqfGSgp/IhLXBvoxC80YS6rGCZ74QYFDnlBiYRLnb1kuWLQDJuk4HsefvME9DJMxEN4nFR9GW1X9LgxDe9WrXrXw45oF9N9J+dfsvsa9CZNcHCvlbxeTFBhbDype4/O5Tf0JvHnBfW8Vq9iEEGKRSLgWQgixMuC61pdmUQWEr1XkWs8LBEl+iOVM2EmiNTtQ5xFIfXiZMvYND7m+w7oMOM188ZrjAeB2hguSYTEMESkQCyFEQrjlGAm8l5fX4xiuuOIK+6//9b+Ova9sv8uKC1a5FhFrAqGRXdAQ1CGcQWyapf+xeMkiEH7Hopkft4DjxD70er2xYz7nnHPGRHa0IxfmAxCdOJoEQMxGjjoXl4QAiHzVSYUqq8ZwvI/d/3Ax4jPe9773OdESYiVA+7fb7TGhDW0It6gvUHY6HbffABMFfrYzfo52R79AX0TOOPdRXGPoM2Z77nJsn/NufRGZ4f6B7Gi0VdXqEt8p7cP52/yesu34wrXvkuUJAf+9+BlnnuPz2+223X333fbMM89Yq9WyI0eOmNle/nMZ3W7XtSv3aUyqlIl/OAfo25x7j2gYrCRBJAIXHKxqR47xwZiF65JXXoA0TaeOEzwRBXEax8XxIPiMZbmu+RgxIeVnu7MoypEiHJNUtgIHbMr3OtzXcK0nSbJvtRMmSOC+brVabsIE9xh/UgfiNcYtnPN5vsOgT/DkBk9yTpvoqgL33qpzKIQQTab5dxghhBBbwyILzIjtg4WLpj4EQ9DwnXkQraucVjg2uITLlh7PAhy9ZU5LCIZ1XV8QrxGZAbhQYJIkTmDzl1izU49fw85gznrm/UTsAPJEIRK0222Xh111DHioh6vTF0/woA4RC6+BOMTFuCBWQEDr9/v7CsRVgc9hEZmFn7Jl9iz2Q5jENtrttv3O7/yOXX755XbNNdfY3Xff7aJRsG0IutzOXOQSv+N99P9wFEOZa9vMnLOY4ckJfM5oNHLXAI6XC72VOX2x2gDg9Wh7XCcA5473z++PgEVo39WObeFYMAlSVkiQoz/we4iVPBagH5cVVsN28B7fSQnHOYTNMgF62lhRR/D028rfD94OrwpJksT6/f5YsVVEpHQ6nTHh74ILLnCitS+Ul+0P2gPuery+zBWKNmq1Wi7KAe81O3tesB8Qqdn1D8HWB65qM3PXWRRF1uv1XM6zvy9w6/oivn98qC+AfoLJJr8+AMT3RcRBTIIn6iDM4zxxHAV+xxMzdaJ0NgWM95g88/sGJpZwbUK053tV2fYgWOP+PO/59Ccd8RkH6R+8akAIITYNOa6FEEKsDH4QEsIH4kFTc63LMiwhnHDWqg8EIAjE8wrWEEjhNPzCF75gTz31lL3yla+0q6++2sxs7qzsMuc1xwFguyyU+23AIjbnE3PxOVz/iFPhopFwR/rHXHUsHAXAcQdcVJEdk+ysxevKBCkIsFhWP20CAOIbC2/smvNd0fx7XqrPjsYrrrjCfv/3f99FrLBYjD4AMQn7BocpjrmsYB/ahJfC4/2+cMOTK3BD+7EaDH7mO1t9JzwL2RCI2D0Lga/MgcqOYD/Og+Hj4zgUjgYxM1eEjc+FL1z7Kw3wWrh4IYz7gjr+D4ct2hHHwXETEMiQxQ7xv65wfRAxiuM80Mf6/b7rz36OM4S7qn2CEAynfVlRTTNz1xeOH59bFhOFtkHfwoQaJmp8lyv6L/oRri0+Z2XFFdE36oyhPOlWtcqG3bgQwXEPYecz2mmSq3lRhGFovV7PTZSgP6MN0Ad4IqcqTgVMWu3SZCDk8z2aJyrYfY3xCfc7f5xD+6GNsGplnvNZFhdyEOMHrhe5rYUQm0oz7UxCCCG2krIHfCHMbMzV1ETnFscgsGtzkmgNcQtCxTwua3YNQ9SJ49i+8IUv2Le+9S372c9+Zh/72McsSRLr9XoHykll5zUclojyqHKRQqSCA9FsvwuYYxtw7UMEYbGpTPio4+TjTFIuBOg7JiGQQsAsE9NwfiBK5Hnu2r0MCAJww/lLyKcVNQMs8pmZy/qF45hFXIif7Jb03da+Y4+LAbLIxG55jgfxJ1jQB9gBzW0AfHdqWS6rn9mMf7O7Ee2PSQS8zo8wKbuXcPYwJitw/uDaRfv5LkY/TgS/8wVziFhw9fLkCU+88Xjhu53LImQgYuJ8+PnZVVRdP35bsdsesUW4ZphOp+NWbfgiru96x7bRDuyArrPygx3/+MN9COMfxs8sy6zf74+tLOn1em685WsVsTMcrTMYDJxTGuMEXPNow2nFNc322hzRJFXfa1j05XsHfsZjYlUm+KJB23F8G6/AYDgaC32HKbvGNwle/REEgSVJMnZefPc1x73w68z2xh6MYRjP5tkn/x7F49GscMyUEEJsIhq9hBBCrIyypehCsJO5qQ9WcKFB2IBIEsfxPmGG4zUgEMziiIQ4ALGal65DYHniiSfGBBoW+OYF4hP+DSGHC4oBPFTDXY1oBnZbm5lzlaJNzPbcxYiCgCjr73/ZOMERBv1+f8wBDidhmdiG30O8hWBTVtANrlxEiZidzfUtW/oNwZmzevnzJmWSstjDYjL6Fq6HsoJaaEP+N7dhVXYxZwejLdDHWCD2226aw5nPN86LHx3D+1KVW84ZxZhIYQHJP56qfSmKYiwSgduJxXeORuCf+ZEiZjYmgGKSAeIVPhMCIEeTQBjz979M7INoC1GRHdrTqLNSBbEfEKsh3qJNylYH+HB8CsRv9KE4jt016LvqfXxBv6x/IeccoiJif3xBnONBcK3y6gvAkzuYKPAnUSBK1nG34tiwb1XnCecfGcPoM/gZ2hXj6CrgVRUQrzHG8flCG6Jt/HEQ/XhThWuA48OYg3gsXvWAPsa1BPi8Yxu4lyLjf55zyln7+Px5HdcHydwWQogm0MynQyGEEFsJHoolXAsGTrSmRoT4bnAWrX1BBr/L83ymnGlfkIWLF65hX/i64447rNfrWa/Xs/POO8+OHTs29/FBjOv3+2Zm7jN5uX8QBPav//qvdt999zkRG/vD8QvsGsYxhWG4T2CGExqCSJm4y25XTASgbSAQQMyvu5oDS+HLHG2Ai5axqId9gHiA/eJYlTIncZkQCJHOj9SAmxfiOz6DM5j9bGgISWVtWCb28qQDZ2Xzn7LtsFjutzMmZzDBwu5wHBPExEkxEzivEPdY8PGd2sA/h4hRYec06HQ67vMhNkPAx3FB3ETECOB+DbesHyHiuyL5Gqlydle1AwtNvgu06j2TQFtAWDYbz3k322vjSZ/DYr/vri4T6Ktcp7waw2xvEgj7kaapm2jg1S1VcUuYIEAsENoMk4e4ZiCwV2Ves0O6zncV9NlJ4jVewysecF3jujDbG59WVQuEJ1Zx7nGueDyBQ50LNYJNKcxYF86/xioCnvxi9zWuKf81cFsj23we8RrnpG48UhW8ykgIITaVZj4hCiGE2FqmuRDFboGHdD/TtCn4bnA4rOAy5tchh7jK8VsGXIFwVk0SZpgXvehF9sd//Md28uRJu+yyy+YSDuAKg/uZPxcP34hm+Ku/+it75JFHzMzs+9//vr3nPe8ZexDHv3mZOaIQ/IgQLgBXFg8DsQttgogWxJaUObPxYI580SrwGkSuQDxiENUAURNiLESpJEmcCMWxFGXOYvy8rO35bwhl+DwuPAlxj13/LPZDyC9rE//Y4ZDlfG+8Dud7kjBy5swZ+8u//Es7ffq0XXbZZfb2t7/dnUeca0Ro4PNwzljAxOur7gPoj1XRICyuVk0++MIznNwQjSEKYdID2+VzyvDEAUeDQHzEpCznBHNWrr/vda/ZMAyd07Xf77tYHmxnUu643yYYb9GufiFPduYz+BxeeYH9r8rNxfmG0O9PYHFUCsYiFLjD/qFtzfbH1/C+YbyAiMrXD7vIke3M4rU/lqNdcKx1JlTZqe3XQfBfg9gTX8SG+xmfvco8Ylz7OLf+ZJmZuVzndrtt/X7fXSebHBMyCYj0ZfnXnH2NsQzxQbg2kW3e6XRc+2J8qQPGeF6RxJNtdUFf38ZzJITYHSRcCyGEWCl4EBACIhqWgTcNiNYQEstEa3YUwiE97Vgg0kC4QNzIJAdmGUePHrWjR4/OdVzYZzjuJkU3DAYDe+KJJ9x1+9RTTzmREg/SXGQM+PnCyAIHLCqhLfA3u2Wn9Q9exs6iVBkQDiAGlDmA8dk8wQYhApMTcCp3u133+X4bsovXF7TxHrQNRCL0B7wOAha7ILEt7De2D0Edjmp/aTkLtf7KF7RxldsWrr1//Md/tKefftqKorCf/exn9uCDD9q1117r3IUcpYHj9OMycN7TNB3LV2aRntvKPw7fKc/L6dGWcHnzeYeDkidcys4NO+gZzlFHG7ZaLVeYtCj2MsD9fWKxfBbnJLtcuZgpX3sQ0qbdW/E7jjlgyvoN+iAXzsUxQ5jzs7rhloYoy32WhWizPfHbj5TBeRgOh2NiIH9GWXFFf2ILE1VcZBUTIhgnuDgsny8cX91JSBamq8RrLhSLQrAQQLE/rVZrTBheFVzM0mxvconHMYwxXKhxm40IGLc4yx7nCO5r9DGMbYhjwjWLduKJ4LriNQvXZnvGj7r9AteJijIKITYdCddCCCFWir/MVOwmELj8Ym5Ngt3gEK2RcWm2J7wXReEEwyp8VyAEjFnF6oMAIREP2dP22WxPvL7gggvcQ/eFF17o9pmXlvPDMbJBWZzj30PcCsPQFVrz2wQCyrT2YaEbrsdJYhOclhAd2H0M2C0MuM3gnoOQ4e8ni9O+OMp50vgdu0WxPxzHwvEmgONMIMbj2MuKUML5Gsexi4WBQMfn0xdUca2WCWll70MmNzuieR/wM/99ZUUC+T183JNgt3zZz832HMVl9yIWav1j5bxbFj3N9vLvpwnSvA+T3JMsHqPoIAvV6F/oxxDQ4W6v+lyzvf7NoM+h78KBG0XR2MQaPhefjevYzNzETqvVKhVuOQsfxwJxHGIoF9LEpJrv+IawPW0MhXN/OByOTeywSIsVFtg/bg+c47qRT7xSpSpXGJMGiLThyBCe5PHz2FcBJn3QfzDGcN/xJyy31XHN8DiLWC3833dfF0Vh/X7fRbDgftPtdt1kiFk98ZpXCPH1Vxe5rYUQ24KEayGEECuF3Wb6Mr27QDBqaq41hFWI1nBNQZDDQ2qZGxDgwR5/IITUdfAtEn/Z/iz7EIahvec977F//ud/tjAM7eabbx4TMiBu4drm7F8IbHEcj7kkcf3jwb8qAqDOPrLAjPgJRJBUHQ/Evaq4EI69mNY2ZQI7u7DZIYe+AwECohxWHpiZEyDx+Zho4M/wRUgzc32L82jLXLXsREY8QRUQTSGuv/KVr7Sf//zn9uyzz9rVV19tL3jBC5wrPAgCd+7hWkbGK8CxcLtCJO31es4Bz2I3i6w4bj62++67z370ox/ZDTfcYDfddJPr42hrnCecU7QX+qHfPlyQzW8Lv134GMoykTFBULUdjs7g3/kZwmb7c7HRd3xn+TS4XfzChWY21mYcUcCvw/+5QCXO+6RVJ0EQ2IkTJ+wv/uIvLMsyu+mmm+yNb3yj+1yO/YFQz+OJL6LXAWJylmVjtQmwggJCbJl4DXd53cgQ/rwq8Zrd3DzZgWsejuZ+v7/y/Gie/PMnmwCvgkCbNXXyedHg3OHYORrMd19jogT3PkyAdLvd2uI1Jivx/WGWFYu4znu93oGPWwgh1k0znxaFEEJsLSzmbOvyUjEZOI/rxGqsA4hB7XZ7TMDmvMuqiA04A3GMEMzqOvYWDS/bj+N4bvdVp9Ox2267bUzENBvPaGbHr5mNucPYac45r9NE07rCNQuhLDZVjTFwKEOEKIsLKXPEQkiDWMGOWzhPITRwfi9gFzVvE2Kcmbn2QfshgoIFbI4YYTGbRVfsQ57n9otf/MLtM95b1n/9feNCcXj9H/zBHziBFyI8xCzk3yKX3N8+R6GUAXEmiiLr9/vWbrfHHKB4TZ7n9rnPfc4VCzUzO378uB05csSuuuqqsQkDLN03M3fucJ365wd9B8fLwjIEXEy2YIKBHetoM8SlmO0VhMQ55UkFvMYvwoYJMgimZRMW/kQJfo8+O8n5jfb0hXMGom4VZ86c2bc9zs/29xF84hOfsFOnTpmZ2be//W278cYb7dJLL3X7jQgfdvqjjQ8yhmJiZzAYuPEd1w+uLV+85viPWSb7WJw2258DzgIxj4cQ1jFpsA7XNR9zmbsXbYD930X86B60me++xjjAxWbb7fZY5vW078E8uTrLikUUDm7idywhhJgVCddCCCFWDgQZCde7B8QIX+xpEpzRC3EzCAL3IF/mWPYLl8VxXKvI4rIoir1ikVXL9mcFD+VJkthzzz1n3//+9+3888+366+/3rlNOTuXYxX4fFfFTpQdQ53X+OIyxK9J+ekQnctERGwDAikLrRzZAXEKAh4X6EKuKIuuOCcQhcz2nNn8GTwuYqk3hEwcCztQsW3f6Q7h66Mf/ag9/PDDVhSF/ft//+/tpptucsc3CYgvfP44yoTjKtg9DnGcxUzsI8dAAIiUHM/hRxT4kSfPPPOMfec73xl7D7LYr7nmGicK8fn0M7TLJkZwXlB8k+FJVwh2ZdcVjwHoY77rnqMYOHIA7l/0XzOb6voHEMdwTj7zmc/YAw88YFdddZW96U1vskOHDjmRDefQX/kAMX40GrmJRV8A5zgPXAuIh/Hv6WXiOff1wWBg/+///T97z3veY+eff75rG/R3Pxf/oLD7Go5nCOM49754jbiHaYVfyz4Lkx9Vqzp4ZQeis/A5iPRZtesa+46xvsxxjf6DMQaZ57vivDabnH/N7uvRaOTaBy5t7nMcP1YGrkc/H3/S/RzjaVOLXgshxKzszt1FCCFEY/ALg4ndAOJamcDRFOAwhdAF1zVymLvdrnMxwc0Mh6nZWXdlt9tdW3Y32hgRBb1erzRndV4gWP75n/+5ff7zn7e//du/ta985SvuYZrjF9iZx05hLjY17Vim7TdnfzIsBJYB0QEiQtnyaz9qg4XnMgcsJuMQyYLPgchX5vA127/M3n8dYi94P1iEhTDC4jvc1VmW2cMPP2z9ft+SJLEvf/nLbhtJkli/3x/7g/Y6c+aME/DQ/8+cOeNc1tgetwuuA+4DeZ5bkiSuYJ3ZniCOPyzi8h8WaZiye0cQBHbOOefYjTfeOCYQ8+RHmQPfj1zh/fb7jh+lUSXU4XX4bERGQHzifTazyugejEOT4D6JKKIwDO2HP/yh3X///Xby5En7wQ9+YPfdd5+7nrhPY7ziiSQWyLCffP3i/Yg9wMQY+h/Gdwi+/p+3ve1tdvjwYbcP/X7fvvnNb1qr1bJer+e2iVUci/6ugIkBrl2AyRnARQrNzLnAy7LPp30WO3B9OCrEX6GC/VxXTRDc76r6IMY5/B6FcXcNnCdEcmAcxbnHOYZrHxOMyFrHmDlp+7hH4Vqcdk1gImmXJhKEENuNRjMhhBArBw4SsVvkeb4v1qFJwEkJV2m73XbiWqfTccu94a5KksTFEHS73ZmzVxcJi4dFUbj9Wca+PPPMM06gGA6H9sMf/tDa7bZzGIOy/OqqgmVVx1RXuC6j3W6PRV34sBjAUQ2Aixxi36vEABSB431mERfnB2I58NsHr2OBlR12LDyy0w9xIpgw4ZgKbsNzzz3XCZzI+eU/fG1CuOr1eu4PxL1Dhw7ZoUOHnKMvjmM7dOiQex2/H8ILro9utzv2B/2U9wH/R0aszwUXXGAve9nLrNfr2XnnnWe/8Ru/YX/0R39kR48edUvxAWdmc4wN42fH+o52nAecO3/yDaKmX1yQJ2mxTyxY471l1FlxgD6F12HbPCGQZZmdPn3aBoPBWB8vy5bn//N+QeDF+AinKcB1UUe4PO+88+zuu+927dFqtezSSy/dF2vAQvoygFgdhqEbNzm+CtEOZnvxGTwpNevnlBX9xHZ5Ao0LWHJtgHVQJV7j/zyBhv32+9mugHOJCRHORkcbcjFQTHTWEa8x1ptN//6Mcaqp9UOEEGIeNKIJIYRYOVX5sWJ7gSg8ycG1TpBrzfnriH1A9AEeLuEkXEeRxbL9hjsUIsOyXVYXXHCBeyhut9t2ww03uJgBzo6GqAbgOK0qmuhTV7iucu9zVmtZv2PHMoQBFm7xewjHZUuvOTKhLNcWYgOco+yq5P3k7eH3EAMRrYI2gZiGvzlDnTPGzc6Kgnfffbd95jOfsXPOOcfe+ta3uveUuY9ZWKtqM7wW0Rn+MSE+ApMKnOdaBwj3iLphIOQVRWG33Xab3XbbbU784bxd/xrAioiqa6Ou0IbxASIdzhdiLXj76Cu8EgGiLxdyxMqOsn2a1GYQy7n4GvrrTTfdZF/5yles3+9bq9Wyl770pW58gJu4TPzi84aIExynX3zOB/ngdXJ1n//859trXvMa+9a3vmVXX3213XLLLftew07TZa3QwRjBTlj0JRw7jg3XzKyRIWY2dh2Yjcel4HeICsG4ic/Bz9a1Sgn9hguNco462gzjLKJD0K67BibnkH+N67vb7Y4577mOBt+nysYovh6nOa4xGbuLbS+E2F6CYhenRIUQQqydfr+/c5mIuwpE4UXnlS4SdjxBhOSsXnYZrlusNtvLC4aIBGFlVZw4ccK++c1v2gUXXGA33XTTvuzcMsE4SZLafaAoCuv3+1MLeE4bR6b1PbggIbj7wjSOC2Kevw0IEcjKxX4jb5gd1uyU43xoFnjgnob708z2FfXj6AB2JCP+g9sDMSI4fi48yG3GRcYgpFQ59pANjH3GtXPo0CH3GvyMc5I5bofPKSZeIPSzWM3535hYgGDLGc0QZHEt4LjNbEwwZJGfiwv6cNtXFahDLAbEe/84sQ2IV3g9sov5HKHtcAx4TVX+bVW/husbrzl9+rQdOnTI7WOv1xtrG//64ugM9EP0bb6Oq8Yb9NW6k1PYZxTALYtLSZJkJYV8EbMEkR4ufTNz0SW4xuYVZXE8ZdeXnx2O6xCTgusWgtG3y+BJLFzHEOJ3uUAgJgMx8YA+NBgM7Pjx4/Y3f/M3VhSF/dIv/ZL9+q//upvcL7ufYWzAfbZs8uSg/VMIIZqK1AIhhBBrQXEhuwPcwE1bupqmqT300EP25JNPji3T5cKMHG3QlAdwXraPuIdVP6QePXrUXv3qV9sv/dIvOaGRM5khBqO94DidtQ9Mc5xOc6XyEv9JDtNJcSFwp5btO97DIiQmObrd7thn4t+8Hd5/ROkg9oNd3Pgdi9bok/722RUNIdGPbeGMbizv92NCqvDHbvQ9/1jZiY1jCYJgLEoAIjQEPY7iQEwJxB7f2Q0hv8yDw22BY0b0C4rlPfLII/b000/vO2bkNZf1GbwGsSloV86A5nOA/eSVHBD5OObGzzXH31UTMnw9cUwQ+gfGLETDVG2zKp4A+1OWkT/pmpsnlxptUhYzgvO3iqgMziTmCQSzs/cK/AyTUvN4v9hd7R8Trj/0U7i78bt5YkoWCdoHcP48r0rheAzcq3b1ux7nXwdB4OLFOp2OffrTn7YzZ85Yv9+3+++/386cOeMmfKvuVcg+r2rPsvFHCCG2gWY9QQohhNgZJFzvBnCtNS0iJE1T+5//83/aqVOnLAxDe/Ob32zPf/7zx8TCpj38lS3bX3ebQqhgsQciFBynENZmKRJ5kMKMPnBKY+k9v96PI/DjQuCirdp3LmBnNl4AECIVuxSrBDozcyIVx3hgKb5PWdY2fzacdxDBOFeZhWO4PCEy1cEXErEfWBIPEQtuc94nOFn9NsHfRVGUulE5zgVAuC4TSsuc7ZgA6Pf7ds8999gvfvELC4LAXvOa19gtt9wylmVe1a9YqJv0e//8wQWO9yAKAnBcCByV3Db+Z3CcBM47nORJklTGCfDP8DkQvznGgCcayrZRdc1h0gYO+jpADEZ/9fs1F1FdBVhZg+sEn4++Bxf0LMfIcK4xTzpyO3D+PsZOjP3rdNJi37/3ve/ZJz/5SRuNRvbqV7/abrnllrHitJhwQLZ3lct8V4CAjfEf4xyD4qVm5voGXwv+ZFjZdTjrfVYIITaFZj2RCSGE2BkkXG8/WHq9rCKBB+H48eOuYFm/37d//dd/tU6nM1ZksSmgHZMkcQ7wJri/EVUCByJEKwhpLOaa2UyCy0ELM/pw3ETZ7xBx4ou37Biu2gf+vZ/H64uHcRzvW+Ltu725aN9gMBhzWZuVi9YQSOFARowEREl2WAdB4PqT2V4WMwtxk5yd/tiNbUOQYdc5nOJoVy4ayNuDsIP3+ccGUczvF+hnVcI1u1fx/yRJ7Nlnn7XBYGBJktg///M/u/3g1RUQk/l8+sfq4/cHzqSFCIn94Nf726tqf5xbXhEC93dV4VCGi41yPj4KyfEE4zThuwq4rme5v/PkUtmqB85+XwWY6PAnX7Isc6sTOEpkVqqK8iFmCaI1C51V7bNqoiiye++9186cOWNJktg//MM/uH1C/8I4i+saNQ92qXCjf331+303UdRut+2tb32rXXzxxXbkyBF7/etf7+KCIGD7zmvEl6Fv+O2ItldEiBBiG9nNaU8hhBBrh8WadQtwYvFAbC0rAtcEzjvvvDH345VXXtm4/YSzEm7DVeS81gUCGhcTg1sZYjZeB0F0ln2vK1zXzUyf5OrkjGIek7DvEM6q9tOPe+D9xtLuMgcybwMZzGgnCFoQc/F77GPZNvB7xINwxIYvpGIbOE8oFObHSlS1ZZnjD8K//3MI5PwatDn+DbGrzJHpu9o53oX3h2HHNfdHM7MjR4644wzD0C655BInVGKf2A3LwiI+E+5Xv1/jtX50DK9KgCOS3eD8Xn4fjh+RKpy5XDV5xUI5/2027uzG5/sCPUcR+OfS709loO+laTpTEUNcHxD3eHs8ubQqcBxckJJXQOB8zruaiMVrzjXmAqQcGYK+5rfPOvDPA+KYzMZXBPA1ixx6P4d/m8AECyY1IDZjHOd+cuzYMXvf+97nHOp8zeO+5teJgKCNa5Tb0I/nEkKIbWL77hhCCCE2An253m7guGtqMcbzzjvP3v72t9t1111nL3/5y+21r33tunfJwZm1RVE4F3hTrhl29HJubtmyZgi3s04KTBOu2dlbl0muThaVIUzB0Qp3pf+espgQFicgxrKTutvt7tsOzjOEMS7ux6I1nItlojI+G3ny6C++2xoOaIhjZnvRGJOc4gyLrnz8iAmA+AiBxY9mgau50+k4wYtd1T44zyyM4W/Ojy47L2W5zp1Ox37nd37Hrr32WrvlllvsjW98Y6VozW5xbJvbt9/v74sv4TZhsRURFHg9xEe0Z9l24NbkcxTH8cxxAHDec444tyO3ux9JwNR1y6J/zeJIRrtWua5nzc5eFIi84DZiYdJfETELmDxC9jFAtAwEe1wfTci6NjO7++677dxzz7XDhw/bW97yFje2MRyFYzaeIY4+ve7jOCgYU4fDofX7fbdygTP6MSnkX6+YkIEwnSTJWN/H5BQK9uI9+JvbDtfauic0hBBiWQTFpt8xhBBCbCxJkjhHk9geUGiNXWRiOry0GCJOE9sPucjIsoWTjl1jcPv2+/25+gEcjlUTH4jRQI52XSDeQRTgn/f7fSdSI5uaRQXfJQiRE9mtyKblnFLOKoaAgc96+umn7f/9v/9nw+HQXvziF9vrX/96FxUAIXM4HDpRHfsCYZudePiZmY3leENE5qJfOI7BYODcwLytM2fOuOXs084PC6IMfs4OZBybT5qmTpj1xS98lh+FApGv0+mMxaxgkoSd9X6eLCZe0MZoSwhQECl5gobFSawigaiIvt9ut11296FDh9x5Rn9ot9tubES/7ff7Y+5z7D+L2ygAye+dJFqjf8N9b2Z26tQpu+eeeyzLMjt27Ji9/e1vt16v56IbeJs86eBHpWB8KjtPZecV19IsIjsET/+cISd5nd8XcL55QgTX1EH2C/niPMbgfPP/MdbyONMk0OdBVa41YqbMbOb+sU4wWYaJC9zvMNbUqblQRVUNC+TYY4zG/RcTAWbl14wQQmwTzXsaEkIIsTMo53r7gNjTVNG1ieBBGG7IdrvdWNGfhVDOROaMaM6TrpO7W8Y0x/WsbmtQ5epkERaiOARDOGJ99yiLV75jGA44bNd3KAdBYJ/+9KftueeesyRJ7Hvf+56dOHHCvW84HDohi8VvjsCAmApHZlEU+0Qg7CMK9uG9mBRAvIvvip7ka+HYiSRJnDjKy9RZEEb7VAl7HGNS5l5ltynnXHMBO95fFsv9zHHsG645TIykaepiH/B6tKu//J4/D85KtDE+F8fj7wNELrQPzikfB/a/3W67cRTRS3VWXvjtURSFfe5zn7OTJ09av9+3n//853b8+HGXJw7R3D8feK9/LuoKc3w9zUJZfjTOd1Vh01WB840xDsd20OzmslxjTIbw6hJcr011K2OlCPrIz3/+c/v6179uTz311Njr4GIPw9BlPzcVrJxBJj7OEeK7ut3uQoolo03a7bYbWzFG+cVCOfMd+9fU1W1CCLEImjdVK4QQYmcoE4PEZlMWOyCqgYOxKIqFPPwuE7jkOp3OWH45IjXwMA/hrK4zs4xposy8wrWZObcsjgX4+aH8OxwniwMsRPsxIXDA4byWFd/j/YfIi8xbM3MuYBYiIQAjXgD9B6/3RUd8LgRQ3h6c/XWERYhnLCgixgaiKsRY7AuOD47lqvOF7XW7XSfOsJiO30MIRRtgu3D+s+CMNvX7CcRxuCOxMiDLsjG3K9oHQjG7oPF7PncoPodrGQI0Z3oDRCVgUof3F8fmZ6HPU3gN+2G252qF8Ix+jLZDO2I/yo4T/687PuFzZs2BrnpfHMdjsTrrglfDcByGP57MSlmusR8VgsmxIAgaK1ZiLPvpT39qH/zgB93xvPe977Vjx46NvQ4OetxPZo3AWQY81qHN8Z0G+7fMfeRxgYsem5mLMcJ+YpxStrUQYttpnpVHCCHEziDH9XYBUatJecxNBa5eLPuGi6+p7cZOelyzEE3gKOXieniYPohrfBmOa4AMWZ44Y9HSFyeQd+znimI/2W2N5d4Q4PxMaPCmN73JLrzwQjvnnHPs137t1+y8884bm/hBDiz6BQuxEH3g/vMFH4jJEIEh+nL2uNlZQRN59AyLryioxkv7uagjx4b4TlRu1zJY4EVUCCZI2K1b5grnNmWRln/GE0Ec/YFtIpPb72sQwtkp7e+3D+fPYvWEvw/8Ws6uNbN9bcf7PWuBUzhEwRve8Aa76qqr7MiRI/ayl73Mjh075vo5XOwctwKR+yDCtZm5Y591gprFWYB9bcpkNxy34LnnnrNPf/rT9pWvfGXufSzLNYbrGtc9CnyuK/O7DkEQ2MMPP+yOo9/v2wMPPFD6WrjYEQezju+EKFI6GAys3++7sa7Vao25qg8SBTILnH+NWCeca6wG4v1uYmyMEEIsEo1yQggh1gY/HDdVsBP1mGUp+y4DEQpuuU1oLxb8IJzAEcjZwywmZlk2c/60/5lV7cJL5+eFI0PY1clF4Hgf+NggZkJMQhsg1oPjLtjF6otM5557rv3xH/+xE9HhwuV8Yj8ygQue8vbYiYtJEXY84+c4Brjh4eZDLAmLv4i+iKJozOWH7GIcH96P9yHSwRdTyoqH+SIt3MvD4dC537kdfXG1qjBj2efxPna7XcuyzGWHsxMbExq8WmBSwUL/WNrttusHmMhDH0HfgqOy0+k4cQ/9DZMeACsaprmtOXsX7cju/d///d83M3OTHRiD4Orl6B/sX5lwPct1x+7pWVaT4PpkZ7qZ7ZsgWzeIxkiSxP7v//2/duLECYvj2I4fP25vf/vb59omJpngrsW5xPXIE1hNdV2bmV199dXW7XZdvYurrrqq8rU434jMQr9c1r3RX0HCqziadE/G9YMxFtd2nuf26KOP2nA4tGuuuaaRsWJCCLFImnHXF0IIsZOUiUFi82BhU+exHBas4dRrysPxNCD4IUqD88vhlvXd1gdZ8j1tMgvC3kHbD4IYBDtERpjtCXcskMHtWSZcAwiFcMyxIFt2XBAhuMgjtg1hE/ETEFjgROXCjRxLMRgMXOwMhA5sE/vI5xAOTwiafryEmTmRF69HxjmOgbOaIeCzUO73EeBHYmB7mFTwI1h8JyuOkXOlsQ2+r0A0NjOXIcvxIEEQOGGorP/WcVz7GeYA7k1MSuDz4MqGKMWZ2LzNOpE7cMbDlYx7K7cp7zs+k1dFlOVcl+W6z3rdzRttgSgXRHDg2FCcblliHcfy1P33mTNn3PWQZZk98sgjc38+xMo0TZ14jbbAxAfGLIwBTbyXXH311fb2t7/dfvCDH9gNN9wwUbg22xszEcEyT2HPKngFiV9UEZ/RxDYEGBMRcfXFL37Rvva1r1lRFHbs2DH7gz/4g0bvvxBCHBQJ10IIIdaKLzCIzQOCUFOdX+sEYiiiB5padLEKiKIQUJEPzb9H1jDiNOAyPSiThOtFtSFnRXMMB86bL1xDmIZwxRnGcJVCwOT3cvwCHxecr51OZ2wMRLvy9vDZEFe73a4TWSF8Ipub34fP46Jv2G92dI9GIyfqQiSHmAsnIovIZfnM+DmcsYiWQR/h40dfgeOcYSGJc2Yx1uCzOGOdfw7hFvsF9zb3UXbaszMYr6uiKsqAf86ue56c5fZjUZbbmZkWucOxKjxZMSmqAu5S33WNyBg+f2XvnQdcZ7OKrDwxg/fiZ5PGmHnEZ//4uA/6/8b5wM/b7bYdPnzYTeC+6EUvqn2MZXB/hHjtF+XDGNFk1/V1111n11133UzvQZHCNE0tSRKXgz0rLFRjAg/3rybXkpgE2ub+++9394Onn37a+v2+HTp0aM17J4QQy0PCtRBCiLXiOxbFZsGOwE18EFwWeGhGAbxNE6zN9kQxFAlExALAcmt2F8Pte5C+MM3VuciJLhaIiqJwx4dMUT8uhHOXzcwJ1hCwIJCUtQG7jwGiKvwoCnbZQmiE247zjiH8QtzjbfmxDthvFuDjOHaOQziu8Tq4OauWzsOtzm0DYRYubhQ/ZDEUIhsmBsq2ze53bIuFSl+Ux3vK4lP4/OD8lY1XHEtStk8QhcvuV/yzfr/vthfHsRPmEf3CBR8xcVu2vbJrjo8fYndZrMKkeyr6NIpEIu4FLnR24/Pr/XaahbLzPw0cA/o9U1bs9KDiMx/bPMf4R3/0R/ad73zHer3egYVr7ANc1RCvMQGA48WkVVNd1/PC0SF1CzdWxX/Arb5p998qgiCwY8eO2enTp10007xFkIUQYlOQcC2EEGKtsPghNgs4GX2hY5fBwzPEsnndYuuGz62ZlU5OwOkKwRRiwUHzZ+sI14t0GCI2oUzM4rgQiI1+pAILbPhd2TmHcM3CGmIAGDgp/WKRLDxzZjDnWbMTFZ/j5277Qg6L8WgHM5s6GeXHn/C5Z6ESYj3aGWI250v7wMEPYZYnCFikxDnxRWtMbrD7GJOkZceFyQLOUPZf4597fB7HqOCax8QHtwcc8pzhi0mTsr6BIny+ID0tI3+auAd8MdmPKeH3+Oe6Liwmo9/6v6/jfDYzl0HOn4/rbFHi80Fot9v20pe+dKHbZPEaNSTQv8zGV7wsYpVL08AqJRSI9cdLCNX4G6tJ/NUh28Y73vEO+/znP2+nT5+21772tfr+JYTYeiRcCyGEWCv8wL6tDxnbCoSETRRmlwEEQl62v4l92s8sh9vVfzjm5ddBEJQKbfN+ftU25hHPpsGCoS+ylsWFcG40BEsuhFflUIYQjteZlWcnV2UaQ6TqdDpjxRNbrZYTg5GbHASBE43583g5OcRjdjbz76a1MYR+dpHz8cApC1ERr+XoD4ilZfEpyB2HcxnXFvYPv8Pkpy/Kmu3Fq0C0rsrMxaQLZ2v7EzD+uYJDHW5QONSxXyymor3YReq7r9ntDqGY89QROTQtIx/vnTbpYGb7XNecH80OdZ44wfUyT+wG+iULznWcz+jbHPMAt+m2w5MhEK/htObs5kWMvU0Ex59lmesDPNmG7yBNKqq4bNrttr3xjW9c924IIcTK2P67vRBCiEbDS7h35aFjG+Bogl0/b1i2DyfwpgrWAO5cdoP6AhFENhbjzMqdxrMyaSxgUW1RcDG+wWBg3W7XuUN9oRw/Z+GaHb8QY6uA2FaVk+y7rfEeiLsQbXCO4LY028uuhqsV5w1iIQuRuH797GpMVNQFYnSZyxViMf8OrnQIbWWwK5td4XAw41ggLpc5eTkOBduoEq2LonBZ01wQ0L+O/fgN5M1iX/C5XMy0DN9FimPy9wl/LyIjn933+Jv7dpIk+8R+vAdty87neWM3iqKwfr8/Mbe7DESbILoojmPr9/s7870hCAI3OYbJCziNOUN+21zXGK8wBpqZu/633VUthBBiDwnXQggh1k5Z9qtoLojCqBKCdoU6y/Y3DZ6QmJSxi2XZEI7gBFz28S96nMAxQvCBAxlRDhBZOS4E4xWAoIZ/Vzl6+TUcLQHK3NYQFzmmIkkS9z5fyIaQy85XiJ5wreJ1ZecL4neVsO4Dx3TZhAXays+dRqHEsvPI5wOTJvg5i+t5njuRv0qMhqAOkauqb8IpjWPA5+C48FncJth/33mPfcWxVgEhMssy1y/yPLfjx4/boUOH7NixY84tHwTB2AQhrxAoczvjD7K2zWzfZASLz1xglDPAuWBkp9MZKwo6LxCg0zS1Tqcz03sRa4Lrs+mFCRcNi9dYkYDzij4364RAE4GD3C+qyPFGaZq6e45WfAkhxPYj4VoIIcTamUUoEesF7kQWenYNFqynLdvfJLgYI85zlaMerjeIuxAXFsE0x/UiP4fd1mbmxCAUQ4RQxu5ZHq9YTKyKzYE42el0nIu7DAjM7DLmOBDEjCBWgt+D33OxRrh1IcLCITxN2EJkRJUgzSCmY9L47cd6mFmp4Iw+h/PBURDYF7iw4SKHeOW7lvFv5N1W9aeyyRn0Zd+5HkXRmBjs77vfLlWCOv/NGcYf+MAH7Be/+IUFQWB33HGH3Xrrre59LDyzk9n/N9oX7QL3NJzamJjyRWP0y1ar5fK5/WKUi3I3wy096yQU2oqvT1y/uwLEa/QHjijC+d001zUmS/yiir5YzcxauFEIIcRmI+FaCCHE2lGBxs0BgtAuiQVgUcv2mwhyrSHyoYBc2fFxxi2EpIO4MMv2papdF1mYscwZy1ERWFHgZ/CzaM0Cpy8YQRiHgx1iZpnIy8UK8X8UXWS3Nj4fbV+Wv82Z1mbmHK5V59OHXY3TluIjfgSTF76Ai3PpZ0aXifc8AcLRK5zhi33iQoJwJftMy731hXJ8DrurkR/O24S4hggDztvl8wQBGJ9VVnAQgvPJkyft2WefdefuX//1X+1XfuVXXPwDR3HUgd3q/L4q8TmOY3fNm40X+Vz0pLIf+zELfH0iA33XVmvBgY+VF5i0QX9suuuac7kxccQ51XXjP3APHgwGKhIthBBbjoRrIYQQa6dKzBHNAlnOu5ZrjYdsLK/fJsHabLwYI9y2ZbnWIMuyfXEKi2yPKnFtkUVcISqXCZtwkSOGgIv1saiJfYELnNsAomhRFGPXC0dn8Ocitxa/hyiF1yL2otPpjK164M/DPjMc11H3HLHIWVaksGz72D8WZyFQQXBGtENZQV7/fHDMBwRtjqbBv+Eu/8UvfmGf/OQnbTgc2hve8Aa77LLLporWuJ7R3vhM9H2Md5wPzscH9zJ/BheMYwGuLPuZOf/888cKXF566aXWarXGMoxnAftbdk7K4IKknCPut9mixn18Rh1Xf9V70S6b6DI+KBwbgrGHV2HMGsOybHyh2mx8JcO8/Yojd1BEeNNrTAghhNjP9jx1CSGE2FhYvBDNhB252yTaTgIP20mSOHFk20Rrs/FijBCTqkQ/OIPh7FvGUv1JwvWiinFBQK3KZm63207YxOsRpcJCLly/3Aa4Vsz2FwQsixlBm0KES5LEiaR4LSYV/Exp7FO/33eRJixacdzIrO2G8zttXJ4kknKEDIpCoq381/L5YBctC7fYJgvBcRzbX//1X9vDDz9sjz32mH3oQx+yIAhcDu5gMLAkSSxJEuv3+3bmzBnXXhCn8fnoX5xhjSiCTqdj3W7Xzpw5Y6dOnbIoiqzX6znXMPYR/QeiHIRF3mefdrtt7373u+26666zl73sZfa2t73NHZs/GVGHMvc7/64MXP84DvRttPsihWvOup71vs/XJ66ZXfzugOgfX/xncXhd4N6JAqS43rDP3W7XOp2OKx57ENCXkMs+KY5JCCHEZiLHtRBCiLXDrr1dzU1uOtNcuNsGHNZwdW6ri4uLMcLJO6noJouucOMuWsifJlwfFF45UAX6OoQ8TGAgW5W3xW5rFNSryl1lQRH/Hg6HFgSBE7t5+T8LtvgMCNRwCcdx7CZU2D1vdlb4xHbrth+7w5GbO2lyosxNzp+H48FEAMRcTAbBVczng/cVMSG+eMpOb86e5qxvvI5jXiDsQQCdNBkC8Q3n8l/+5V/sc5/7nJmZ3XLLLXbnnXfuEwnnvYdddtll9q53vWusvblfLaLvT3Le4zzBRY5YFl5hsMhrPYoiF6Uz630FfQjZ7fNsYxuAEIxrHmPTPDEsBwXXcVVRxWXfP8MwdOI1u6+FEEJsPttlGRJCCLGxqEBjc4EzcReWY0N4hLO22+0uxBXWRODWxXmFQDfpYZ8FiWmC5jxMcsotamKLYzkmgagGjnhAhASD9oO43Wq1Kh3rPM6NRiPr9/vOMQkBHEIcu/vxHhahURiUV0HAnQt3L5zaZuZWDsziRpzFFeu7fLnt0G4sqHNWNI6b3wsh3Bdt+XxAKHvFK15h3W7Xer2e3XzzzXbo0CGXT41ilsPh0EVgIPJn2oQUR+KYmf3DP/yDc29/61vfcmKd2V7fPYiAinxvP0d9Vtd1leN6mmuaXdfczxftuMY+wjk9j0MWBUk573wXYec1jxfL/j7Frup+v29JkrixrNfrubFplZO+6FMoMir3tRBCbAe7NzUthBCikez6w2dTgeAzyYW7DSDzFmLspHzcbYCjX7jA4CTRDZEWZntFEhfdRhwF4f98Ea5TCJ29Xm/qayGC+MUOWQiBKJNlmbtOysR1znjl7ftuYPwcudgs6qFYYxRFpRm2WCXQ7Xb3ZRRDBB4Oh1OLFvI+c+55VW5uVYYy3u//HPtjZk5I5zbjcw0hjHOveRsQv//dv/t3dv3111uWZXbZZZe5bXCOMhcerZvTjxgCtFu327VTp06Z2d65xzktyy6fFY7QYJEfEyJ1tz2vcO1PzuC1aOdFX+88MTCr4O/HjSxj/zYFdl6DRbuuJxVVxPeDprQ/JiYRFbRLEWdCCLGNaAQXQgjRCOS4bh4Quqa5cDcZHCOiBnq93lIE2SbBAiacr3meT52c4LxlOH5XRZWgPes2OPahDmWuU5/hcOgEY1+AzbLMBoPBWMYrBBRe2g9hMI5ja7fbbl9ZMITYXtbueD0EGhbxcK4gSiJaY5qLF8cKZ2vV+FxWmBE/Z4EasSPsTOZCn/y5ONec3+sLk7hnoNDjeeedZ+edd56LCkC8Ua/XcxMKdd32DAvUv/M7v2NXXnmlXXzxxXb33Xe748T+LcJdCtc1+ga78GelbAJo2v7xSgNeHbAMYfggWddme+cGk0e7jD+hhYmbg8BjWJIkNhgM3DiFfPdVRYHMCsT8KIrcahMhhBCbiRzXQgghGgGEj112TTUNPOhtY3YoHsjhbNzGootVQDxkgbSOA3fZbmuz5eZbszhc9/Vpmo45GVHI0mwv5xvZqhjDMBGA3/kOZ4iB+D3aFZEjEIcgykEUmuQ69zPoeWIB2cTtdtuSJHFiDoTxSYU4cZxwHfuTGxizIbbiPTyW41rrdDo2HA5Liy0yHBOC/St7LYvliLDB+zudzr52gvg+jwsVx3/++efbH/3RH1mapq4vsOC6iLGyynWNbPO62/CF4LrCMD6fJyuWOamMiJx5ooewKiJJEjcpscvfHyBeY7zyi8lOA2MMzj1n+EOg3iTQl6MossFgMHG8E0II0Vw26+4jhBBia+ECjWL9QLTbtoc8iGjI4+x2u6Ui17aS57kTEc3MFfWa5qiHiMiZxctgWcI1omDq9mdknUPkRXuVufYg8vnOanYk8mc+8cQTdv/999szzzwz5mJHBjOy1Vmw9WMzmLIMeryHBWSI1xC5IeDiWphEHMdjLmBuJ4jzcOXi89kJiz4GARbXYZmLHtvk4o68TT5G/jcEtjJH9SwTNGX4sSDYflUEykHxXddo30XcH+scv5/lvogYlEkcxHXNEzaKG9vvvEYMVBUoVovxCxMyrVbLrVbYRNGamXW8E0II0Sy2z0IlhBBiY8HS5G2NpdgU/NiBbQBOsuFw6Fx6u9bPWIxFfrKZ1XI5soi1zCiVScL1QQpBQiStc86R/80ROVEU2Y9//GO79957LQgCu/POO+3aa691r4V4Nk0Y/clPfmIf/OAHbTAYWK/Xs/e85z123nnnVToaWTAsc9yWZdD7gi6LwxAkcX13Oh0XBRDHsTu3vmMX1wwiZtjdjCgLjsxg13SWZU5Uj+PYifsQ07moHLaJyQA/egXnEmI99g3th/f7pGnqBPZ54azrsrZeZBE6xLpA9Eff9dtq0vv9dphlNRO7vvlnywLXDyaXZgVFJWdxpW8zURS5AoX/+I//aKdOnbJXvvKVdsEFF7gJETirMelTN/t+UwmCYGy8a7VaO+/QF0KITWE7nkaFEEJsBRA6xHrxYwc2HbhhkW9cVUBvm/GLMc7qqGcBa5ltVyauHbQwI7ut67y2rP8XRWGf+tSn7NSpU3by5En7xCc+MVYsEG5cFANLksT96ff77s83vvENS5LEiqKwJEnsscceG8uJ9feF28Sf1KvKoGex2i9oaLaXYQzXIfJqsU9Vrl4uRAl8V7QfaYJt4dggMqdp6oQjX2j3CzPic7BaAOIkXKVc3LEqa3ueGIqq4+eVB+zcXPR1gUkGtCG71adRFRUyi0jnj//LFvggPs/jKsfEyqJc6dtAq9Wyz372s/blL3/Zvva1r9n//t//25577rmxiaNOp+Nc1bsi4mJFC74XqL8IIUTzkXAthBCiMSgqZP2UxQ5sKnAYI+ez2+3uzMM54xdjnNVRDzHRzJbuyKvKPD5IYcZZCvJx/vekzyuKYkwwhpsXf1qtlvsDZ3On07EXvOAFTnDtdDp2xRVXTD0uFq35tVUZ9NyGiAzxt8d50/hZu922VqvlhPUygbTdbo9FOrBwzfEZOGcQqP1sarQZ3sNuba53kOf5WFG4drvtrmM+zirhmsX9Rawe8V3IyxSu4brG5/ltNSuzCtdwXa8K/3hnBdfBtGiMXeJnP/vZWG2Cfr/f+KKKq0CFG4UQYrPYDiuVEEKIrQDCtQo0rgdECKDQ3KYChy1cltu8/LkOZcUYIWLXfb+Z1Y7aOAiTivXNA9y2vV5v6mvh5vULEJqdPfY3vOEN9nd/93fu3xCv4Qyus48333yzhWFoP/nJT+zmm2+2Sy65pPK1HBPix2bAMV92rbLLuip6CdEaHDMC4TAMQ+e89tueIx188RguaRa9/c9npzcXfuOClWZ74iNiQ7BPvC9wPrNQ7U9+sqt8EbDrnD/7IBMrk0C0Cs4Dx4dMAvvG7TXPaiaca4wZ8xS2nIVWqzV2vPO8P03TfdfLrvLSl77UvvjFL7ox8KKLLtrpeyGDiZkwDN0k3jJjsIQQQsxPUGhNthBCiAbR7/d3qlheU0CUBNyimwgL1pzXu8sgvgLXFNpnlsmJfr9vRVFYt9td+nVZdv2jX84jPiJ/elqfHo1GliTJ1BgZ/to8HA7HCh8u+rrBuYuiyAlPECSTJHFRGz7IcYd72o8S4WNB+/grLDgyBPEy7OLu9/tOtIeYmWWZE7TTNHXv4W0PBoOxGJNOp2ODwcDyPB9zM0NER5viM/02wHbQN/l1Zmf706L7Lc4L9wW465dBmqaurdBP0Q5VoB0QC9Tr9cYmsGbh7/7u7+yb3/ymBUFgd911l73whS886CFNhI93VnDcQRBs/ATsovjpT39qJ0+eHFvtIcbBhC76nb5/CiFEs9CoLIQQolEoLmQ9VMUObAIQrFlg3XWXtdleVAoiQUajkaVpWuoonrQNODdX8TBf5qeY132JAmTT+rSf/z0JiK5c4BPZy4uGM655Sf+0DHp2QU9qO0SG5Hk+FnmB30H8g+OW3cXII/bd2BwTkuf52D7CbQ3BHe3GbmscV1EUpcfH4jl/lu98hhBVNyJmFiDI8zW0THcv2ooLYfrnqw7zrGQaDAZ23333uaz2T37ykzN/7qwg23ueY+RVIYp/OMvVV19tN998s0TrCWAsxGQfxyEJIYRYPxKuhRBCNAoJ16tn1kJ9TaEoCsuyzLlDu92u3FL/BsRYuG1ZnK3bPk899ZTdd999durUqZW48Fl85J/NI7hxtvE0Z+q8jm4IuIhgWbTYgWPn4oN1Mug5J7rOMbTb7X0OYmwnDEPnXE2SZCx6wz8vLCrDhc651zgfOA6zvUgQfh3e6/cD/j9EbmSL8z0jDEPXTsvqt61WywaDgT322GNuImFZoJ/BjY64kGnv8ZnnOvIF+VXUPuDjnTfeBNejvkuIWfALN0q8FkKIZrB5tiohhBBbDZx6YjXMWqivCcBpiUiEOk7ZXQLnlF2501y6Pg8//LD95V/+pcs8f9/73mfnnnvuMnfbweIaF/+bBeQfT+sXEAMPInAiGoNF5UVMAEF0wzbR56c55iFQ1m07FJTEOOC7iXGNcXQJ+hFiediJjv1mhyccw2bmYkQgTiIWhHOt/fPmi67YFtzP/j2jKqt8UZw+fdr+1//6Xy5v+n3ve58dOXJkKZ9lNp51jXM1bSWCf+zzCNdxHNvb3vY2+9SnPmWtVsvuuuuueXZ/ZqIoclnVs04ocbHQTZyQFesFhRuximtafJQQQojlI+FaCCFEo5DjenXMU6hv3cAdjsJ4nL0rzoIsWwh3EFRnKaz2zW9+0/r9vpmdzTv+yU9+YrfccsuydtnMFleYEW7LaYJVlmUuo/mgfQjxBmbmsrIPOhEEtx+EOHbQT3oPC9d1jwtL5FHQtOx9KM43HA4tSRIzM9e/IPyfOHHCHn/8cbviiius1+u54pgoZhjHsbtmsWICYOxHnIh/XOzohlANBzAmIPi1yxSbvvWtb9nJkyfH/n/bbbct7fPQdlmWWbvdHvt3XeYtevyit4PJeAAATtRJREFUF73IXvSiF7l87VUUT+aVALOO8WgrFAqdR/wWuw1PiKMPqmaGEEKsj82wVgkhhNgZWJwQywUuyE0oxoi8ZuTWdrtd5/QUeyA3GKJtXZeuzzXXXOMcs+12244dO7asXXYsSrhO09RFSFTBRSsX0YcQV4H8Zo7VmBeMgSjOaDY9gx5tyI7rOiDjFfEKVW2C16Ft4WotisKOHz9uf/Znf2Yf//jH7f3vf789/fTTLsYHedl8zUJghODPP/f328/t5tdBBMdKjFVMfF544YVONO50OnbBBRcs/TORK47cdgizVSx6bDxIvva8nzfvCiz0q4NEjgiByToUg5WpQggh1oOmn4UQQjQKiBFly8XF4oCguQi36TKBexauTi37rgbiPty+nHM9q/h7yy23WFEU9tBDD9mtt966VuF6lokVOHwnucuXEY/D+432RtvPO8HCmd91r1XfmTzL8YVhaO122waDwVSB3Bedh8Ohff3rX3cu/TzP7ZFHHrFbb73VkiSp3HfErPDxlu2zL1zj87EvEOrTNHWi7jK54YYb7FWvepV973vfsxe/+MV2ww03LPXzzPa7rs3KY1UYLvC5CKc0Pn8VDmZkXc/ruvYnV1aRzy22D45KSpLkQGO6EEKI+ZBwLYQQonFIuF4uXCitqbnWLFjHcWy9Xk8PihPwizGa7TmP5xWZbr31Vrv11lsXuZsTKcsxnlVsg3BZ1a/RTnEcL1R8w4QbigZyrMZBc68hutW5Vn2Bd9bVFFEUjeVRV4Ftw9GaZZlddtllLt6h0+nYZZdd5jKgq/Yd+zrNPcwiPKJw+P6Agoxme+LqMiMtgiCw22+/3W6//falbL+KVqtl/X7fiWdo36p99Nv0oO1RN197UaDvcBzNLO9F1nm/33dZ7kLMCiaNwjC04XBoeZ4vNUNfCCHEOBKuhRBCNI5VLkfeReBwbGLuJ3JvUcCt2+02VlxvCmXFGBeZ37wqyoTrWQozQnCtclujnditu0gglEFgQ5EvZELPknuNrGeIbXX3F27keR22cBfCOV22DURy4NzAyfriF7/Y0jS1Rx55xF7ykpfYJZdc4tzW0z6Tx/sy0Rz7wcflF5CE057jQzal79cFfTdNUydiVx0nC9eLagvOj17VuIz89VldrhDZi6JwEyqbNB6K5sGFG5MkUWFoIYRYEc17YhVCCLHzYGmvWDx5njdS0EQRLbiEJVjXxy/GOG+u9brxoy1mcXXCoT+pgBYXqVxGu7BQxnnNnU7HsixzQsc0EfqJJ56we+65x7Iss+uvv97uvvvu2vsAJ3KZuFsXLoxXtvIF4rgfj5Lnub30pS+1W2+91drt9lT3exns+Ob3ccFJvI4/H8I33lPmNt4WkKGO1RV13MiLFPHRz1cVl4AVDLPGfXC0CvLB53FuC8FwdIgKNwohxGrQE6EQQojGwc46sTg427cpD1kQrJMkcdmtszhTdx2I/TinHAOzaU4w/3qfJS4IURNVr0c7LVPM53x+nziOnVMP4nYVn/jEJ+zUqVOWJIn9+Mc/tqeeeqr2PrAz+SDHCXG9rLBd2YQC8ojZ3ZrneS2nOIvgcJezA5td1vg5n2dEhPjb3Nb7B1ZWTMvzXlYb4NyvslAdF6acBW4fTKaowJ5YBCrcKIQQq0NPhUIIIRoHF9sSiwGCZpNyPvM8t8Fg4ITWTqfTmH3bBPxijGbNjoGpAxcWrOu4htu6akKmrJ2WBRzDVb/rdrtuf6pERd9VOotDlJ3JizhWRPcwVRMKcEHDOY8ClXVin7gwI1zEPogDwevwPjjt/e1s8/0DTmK0d9mx+sL1oiZs2Mm8KiDWz/qZiI3B9YBMdiEWAdzXWAWB1U9CCCEWi4RrIYQQjWTbhYdVg+X3TVgmDeEOy8273e7Klp1vC2XFGBEDs2kRIYBdwrNEXWRZ5gTPsm367bRMJgnXZnvRIWEYVrr03vrWt9qll15qhw8ftttuu83OP//8Wp/NzuRFRUPA2cv7WSWKw3UNl3an03Hu62kuc8DZyfhMPiaz8ZgQLkDK94xtdlyb7Qn8yEGfJuguOu8bTuZVtvG8rmtunziObTQarVR0F9sNxr1ut1trRY0QQojZ2Uw7jhBCiK0nDEN9+V8QyDxed641BAPkjDYpsmSTKCvGCIF2k0VrFtdmdVuXFQDkVQarcqCzA7Zq/+HSq8q9Pvfcc+2P//iPZ/5sFvsXOUnVbrdtMBi4Np4kgnLGdBAEzmU+qUAlC9JZllkcx+7f7XZ7X0wI2irPc8uyzHq9nvtsuMF3YcUOihZ2Oh03OeMXrASLFq5xbleZGc0TI51Op/b74jgeK2KJyRQ/J12Ig4DaHCrcKIQQi0eOayGEEI1EjuvFwI7TdeVGQ0BMksTMzHq9nooZHQC4DjnXejAYOMFvk5lVuJ5UABDO31X2NQh6deIxsNpgUS49X/hf1DGjfeG8RvxCGXC/j0ajMfdzu912QmtZbraZufME8RmOXhwXx4SU5fWzWI3XbPPkJ1zXOCd+n1umcG22F1eyyjaGY7rO9QVYZDc7O0GiAtBiGWCsm3WliRBCiMlIuBZCCNFIIH7oS//B4KX0qwZuWLjdut2uXNYHpKzIIASZJsTAzIsvrNURruHgLzvuLMvWFpsCMbEOcOlNy72ugx+psYjjxrba7bZzOFedF84a97OEkYvc7XZdtj1HgfBr+DNwD+CcYojYECQBr9LZlTEG7TxtsmQZwvU6ijT6cTR18fOxseJBk+NiGfj1DNTPhBDiYCgqRAghRCPBUvNlPHDvCsg8XnVESFEUTmCFMLcut/c2UVZkEO287hiYg+LnW9cRrlHU0z/udUfjRFHknHZ1Ph+511hiPm8RSRZ46+aD1wVOQqzeKAMCKsTlJElcBjMIw9A6nY5lWWb9ft/uvfde+9GPfmTnnnuu/d7v/Z6LFSmKolSMheO2rM/zZCdHpmz6KoRJwHWNMZf7nO+4XjSYaPDP8bKJosi5/+t+Lovs6J9wxW5qvJJoNhjXORJK8TRCCDEfeooUQgjRWBQXMj9lS+lX8Zl5nluSJC6fdl4RToxTVmQQ53gb2rgs5mJSv4VI568kQDu12+21tUkQBDOPXX6cxjzF49hxvYhj9wscchFQXwj13e+TnLH43WOPPWY/+MEP7MyZM/b444/b5z73uTExFH9z7EgYhm7Cwj9GnuzEa3dhxU6r1XJFLSf1m2XcBxDBscp2Rv+ZJYbBjwsx2+vPKtQoloUKNwohxGLY7KccIYQQW42E6/ngonSrcsJh+T9EpU6ns9VOx1VSVYxx1ed4mfDD/DS3NY7dd1tDtF5lMcYqyjKH63CQ3Gu02yLzrfnz+d++2FeWNc5Cd53PwfYR68AOfHaTl01YAL5n+ML7thKGofvDIvKyM675s+fp6wcBztVZPtfP5MZkEdzbQiwLrDzjlShCCCHqI+FaCCFEY+FiW6I+yO5cReYx4iuGw6ET3eI41nLYBeIXY8TPUHhwW2DH9SQxPs/zffnGZuYylZvQJnULNJYxb+71MhzXDFy9EPtwfHBF++0+LY/4+c9/vl177bXW6/Xs4osvtte85jVmZi7KYTQaWRzHTrhGRMSkVSR+gcZduX/AnY6YnTKWNSb7+dGrYJ6s6zKRHZOBKtQolg2vqhkMBjPntAshxC6jjGshhBCNZVeWei+SqvzXZX1OnufWarVUdHFJlGVYr+ocrxI/KqRKfIbb2j92FGNsSptg7KqT1V1GVT5qFb4reVHifZkTHuI1YmrSNC3NGjczl3ldVkQzCAL77d/+7VI3MMREfg/E60ntwMLkrjiuzfYcyGhrv42WeU0g033evn6Qz0Whzrr9HSI7O/Y5nmfdKzXE9oOVKcPh0PI8X2uslRBCbAoaJYUQQjQWCA+7Ij4clFXk+0I4TJLEgiCwXq9XKVqJg1FWjLEJGc7LgN3Ck2INuAAgyPO8cUXW4Ag/iOMXrlIURazr0FtULERZ0Uu0O4svEJSrgDN2FidwWdvVEeR3MSoEtFotG41GpRnky7wukEu+jqxouP/rnmf0K+5bHBmyS/1FrA8UqY2iaO6aBkIIsUtszxOPEEKIrWOeIme7TJqmFobhUjKPi6KwNE2t3+9bURTW7Xblsl4inOPsF2PkrOttgd3CiIrw8QsA4mdNLVB5kLgQfzvdbteyLKvMvUauNdpx0dcl3OM8tkAohfO1inniGMrE0DoTZP7kxy5NfOI8cPbzqsZnPz96VeB+V7dvYULJvy4xGabIELEqMDGJVSuzxEIJIcSu0axv+EIIIYSHhOt65Hnulp0uUqwoisLFFYxGI+t2u40UCbcJCNQQ7wCyhNvt9hr3bjn4wnUZiI7w3edxHDeyQCViKxYhRiD32sxsMBjsGxORa73IInzsWC4TxJF5jQz2SbAbuC4nT560e+65x/7sz/7MHn/88VpjDvYRQv4uuq4xycgsW8BeV5FGs7PHPItoXiWyt9vtWn1ZiEWCiUkzU+FGIYSoQE+dQgghGo2E6+lA6FykaF0UheV57paxttttCdYroqwYIzuLt9HlPk24hmgPIX8T3OdcZHARINIAy8tZ4Kgj/M/zecDfLsRRFBurcoLztmYtpveXf/mXdvz4cXv88cftQx/6UG1Bh2sj7JpwDQEZDnmcw1WMGeuKC5nV0Y9+7F+XuL6m9WUhFg1qGqhwoxBClKOnTyGEEI1GwvVk4DqdVrRsFvI8t8Fg4KIqkMUolg+KMbJAva251qCsAKD/e78AIByTTY+rWVRcCODl5SxwcDTGMtrDPy9pmrqca0wcTBMOoyhyE2J1SJLE/TvP89qiKN8zdu3+gf5hdvZ8rFK4LsuPXhVwXdf57EmZ3LjPKXNYrIM4jq3b7brvYLs0dgkhxCS27+lHCCHEVrFrOaWzggfsaUXL6oBigMPh0D1AxXHcaGFwm6jKa15mdnkTmFaYEXEbOH6ImE0Xrc3Kiwwuarucew137Soc137WONyCWZZNFKVnLYJ32223Wa/Xs16vZy95yUtq3wd2uUCj2Z7Tn8/FKq4TCMLriDpgR38dMKFUVsQSfVSioVgHKtwohBD7aebaSiGEEOLf4MzSbRXu5mU0Glmaptbtdg8kTGA7eZ5bq9XaCEFw20D0hZ/XDDHwoOd4EygrzMiRFBgHBoPBxsTWQERdhhMaudcQrs1sKZ+D2Am0t+9+N9sTr4fD4cS+iiJ4fpHNMl7+8pfbzTffbHme29GjR108yrRoGL/Nd02AhIjL/WJVRFHkxrFVj1dxHFu/3681ecOZ3H5/4uiRTqezzF0WohRcw2EYuuu4TnFaIYTYVpr/jV8IIcTOw5ml4iyLiI+AWJokiQVBYL1eTw9Ha6KsGCMc2Ns+kTApnznLMuc25z6/KZNYQRAsPC7E3z6KdSKbd1F9hYtgYgLRzxpnEFc0LSN4lqzrw4cP29GjR82sfoYyR+zsWlQIwPXBWd+roCo/ehWwYF+HSf1pnmKiQiwarKwpisIVyBZCiF1EwrUQQojGs6viwyQOEh8BF2u/37eiKKzb7W69ONpkyooxYlKh1WptjEg7Lyxc87FytjVnuTe1GGMVcHYuG7QL8r8XRZ7nbvKwzG3N1BH84GitKzACxK7UjQvxI2h2CZ7QwP9X9bnrKtJodvYaqJujPimTW4UaRVPgwo1JkqhwoxBiJ9msb/5CCCF2kjAMa2dX7gLzxkfggR6id7fb3Yi4hW0mz/PSeAX0900TaecBD+GTCgBC5FxElvuqiaLIiQ3LEBCxXY4/8CdC5gHvxXnxs8ar3tPpdCxJErc/ZbRardqxDrztKIpqxYxgsnPbJ30mkaapvf/977eTJ0/apZdeau9+97tX0h6I7FhWf58EZ137sUNlr4XIziI/QKwNooqEWCd8L8zzfKyAsxBCbDt6WhVCCNF4OLN015knPgKCNQr9tNvtjckI3mbgqvbPRZ7nO/VgylEULJZCoMREzaa2BwS0ZY1f7CxGYa8gCA68tJzPRRAEY1njkwjD0Fqtlg0Gg8pj5liHWdqlbuwKr9LZ1RU7X/3qV+3JJ5+0fr9vP/vZz+x73/veSj6XJxjWAWKF6vQTFJOs6oPtdtutiBFi3WB8D8PQ+v2+omyEEDuDnliFEEI0Hghauy5czxMfkee5DQYD9z5UqxfrBdEXfjFGFB/cpegWRDlwpjL6KyZqNlW0BsvMuYZrmYtbttttt7T8oAIiijNCkKwD3IGTVsrMEusAJsU7MCxW7+q9w3ccr3KiEk7mdbQ7+n+dSIVpmdyKDBFNA30SxXDVN4UQu4CEayGEEBvBrrrmGAhQdeIjIIAOh0OL49i63a7FcbzR4t82kabpvmKMu5RrzeChm0UkRFJgdcGmrw5YpnDNGeF8fcdxbJ1Ox9I0nUvcKIrCnn322bGVGnWBuILVA5NeM0tma91il5xtjbbZNV7xilfYFVdcYeecc45dd911dsMNN6zss9dZpNHs7PUWBEGtSZtpmdwYi9flIBeiDBVuFELsEkGhKTohhBAbAMSNXc2aHI1GliTJ1Fzq0WhkaZpanufWarUkVjeQLMssTdPSXOtNjsSYl36/b2bmBOokSVxESBRFG5lr7VMUhfX7fev1egs/t4PBwLmby7YPd7+Z1e5bRVHYBz7wAfvZz35mZma/+Zu/OZfwWZXhziRJMtN5Rk5/t9ud+Lp+v2+dTscVi+x0OjPvv5ifdd+zMXk7rRZEnWuz7v1XiFWDVSuY9NZ3PiHENqI7rxBCiI1gV11zZnvC0yTnKdy6SZJYEATW6/Ws1WrpAaZh4AHTFxAhxu1SRAjgqBC4GvM83+dI32RQPHEZrmsuglfWd1AwEZMCdcbRX/ziF3b8+HHr9/vW7/ftC1/4wlz7FkWRRVE0Me96Vtc1Vt/UjQvZ1aiQdYOc63W1PYqDTnNK18nkDsPQ4jhWkWjROHCf7Ha7lmWZokOEEFuJhGshhBAbQRiGO/tlfDgcugdnn6IoLE1T6/f7VhSFdbvdnRQ/NwFMLvgTEFVFGncBXNPor2mauhzjbevHOK5Fg2iVSX1n1txrLEHHe48ePTr3/sFJXfWZs4qCEGqmTQKwcL2rk57rBMLxOgvItVqtWpMidfoTMvdVEE80kTAM3eqCJEnUT4UQW8VuPR0JIYTYWDizdJfIssyJeExRFJZlmXNQdrvdnRQ+NwW45qMo2pdrjZ/vUq61D6Iu4JDcxrgUZDMvcgzjbdVpLzjzpuVen3POOfbWt77VLrzwQrvuuuvsbW9729z7yFnWVQIyomHqCszTHLL4XM793rV7RxOYlh+9bOpOimBifFL/U6FG0XTQR9FP1VeFENvCdqy/FEIIsfVgqf1oNNoZgW80Gu2LlcDD9XA4dA8pu9IemwyEEz/HF6LONuQ4zwO7etEW2zoBw9fwokR5bGua45qBM28wGNhgMCidJCiKwp7//OfbC1/4woXEtYRhaO12uzJzOAgCa7VaLg+7zvbMzo6RVccNMTIIAtdG2zYZ0nRQYHXSeVo2rVbL+v2+xXFcuQ8cFzIpkzuKIjfJtqv1NkTzQeFGxMdt6z1VCLE7aAQTQgixMUC43gUQH9FqtZwwnee5DQYD9/NOpyPRegPIsqy06OIu51oDCNdY1sz9fdtYRs41xFh2FtfdF8699vcJ/1/kuWDRr4w4jl2hsWnUySXmVTqKC1kPiHVZp+sa+zDNdY39nOZQbbfbM60OEGIdwNgQx7GLh5L7WgixqUi4FkIIsTHsknCNB/04jm00GjnBGkv9VTl+M6gqxliVd71r4HouimJfjMo2griQRTGP4xpw7vVgMHBjDnLzF13cFZ+X53mpkMmu6zoCC3KJq17Lq3R2uUbCuqkrCC+TVqtleZ5P/P5QN5NbkSFiU8CYWiceSgghmsx2Px0IIYTYKia59bYJOHE7nY4Nh0PL89xardZOO3M3kWnFGHdBqJ3EN7/5Tbv33nstCAJ7y1veYi9+8Yu3vn8jOmFRsRVwWh9ke4hQGAwGTtgLw3ApzneIfoPBwAmFDFzUWZZNjc/B8U6Kj+ICjRJs1gMLwusa7+pG0WAyZNp+ztJPhVg3iIdK09SSJFHEnBBi49hdi48QQoiNYxcKNELUhJAUBIH1er2Fux/Fcqkqxmhmzvm3y4JHURR27733Wr/ftzNnztjf/d3f7UT/ZhfwIuCM8IO0H4SN0WhkWZYtVdSIoqjSWc2FHKeN84gLmeSQRUTILq3WaSLrjgvBPkyLoqlbQHWWfipEE+DCjVjBp74rhNgUJFwLIYTYGCDObKsAURSFJUni3JPdblcu6w2lqhhjWcFNsVssMi4EwsMi4mYwvmJlyyIjTXwwmVMmZsLtXWd1zbS4EC7QKJFmfURRZKPRaK33briuJ4nNdbLTQRiGFsexDYfDRe+qEEsjiiLr9Xougm5bv08LIbYLCddCCCE2im3MKi2KwrIss36/b0VRWKfTURX4DaaqGCNc2Luea212ViB685vfbOecc44dOXLE7r777nXv0spYhnC9qNgR9Fu48pblKGXHallb1C2Ah+uo6nXstN721TpNBgUSlzkZUocoiqa6rmfJ5G61Wu66EWJTQHHeKIpc4UYhhGgyQaFvcEIIITYICCntdnvdu3Jg8AANZ2FRFNbtdnde1NxkRqORJUlSeh6xNFcu+t2mKArr9/sHvtaxnSiKFpKXjtxprBKAIy8Mw6X12SzLLE1T63a7+7afpqmNRiPrdDoTtzHtdf1+3zqdjg0GA00IrhH0p7JzvUpQMLdqP7DyqW5fmbY9IZrMKsZ5IYQ4KPrmJoQQYqPYlqzSPM+doxH51a1WS6LKBjPJUQ0Xth4MRZ1s5jpwBMZB+xRy11n8Ru61mVmSJEsZd1EYsixuIY7jWm7WabnEKtDYDLiY5joJw9CCIKjsV3CH13WhRlG0M4WjxfaBcT4IAkuSRKsHhBCNRE/HQgghNgqIEJsqQMDdMhwOLY5jVxDNzA7smBTrY1IxRuVaCx9k/h4EjIEoPniQ7QyHw9ICsIj0iON4aaJGu912RSH9z64q4siEYThxQhN1ESRcr5dZBeFl7se0rGvkXNftL3WjbYRoIhjnW63WUiOihBBiXiRcCyGE2ChQQGzTvlRDsE6SxDlc4CjMskyi5oZTVYyRRUG56QWY5hKuwyKc1mZn3dZwgZcBoQ9xG4sWNSCaDIfDfcJfFEUT3bH8uipBFHURtmW1ziYzrZjmqoBLelKfCcOw9kRN3UkWIZoMzBRYEajxUgjRFPQEJYQQYuPYJAECwmWSJBYEgfV6PedsxO8kWm82VcUYzc4K2nAaCgGCIDjwOAbhGtEH826D44omEUWREzUWLdBFUVQq/NVxx5pNFkQVFdIcMEGybte1mU3tV7O6wzHGK2pBbDJhGKpwoxCicUi4FkIIsXFsgnANQajf77uii5xvDNEahdXEZjIpBiTPc+Vai0pmcXSWgTHwIH0ryzILw7D2GARRw2zxudcQ/nyhpE6GMAT8svbkHHAJ1+sHgvC6zwX6fVW/QpxP3T7OKwfWfWxCHAReZZOmqQ0GA/VpIcRakXAthBBi40BmaRMpisKyLHOiTrfbtU6nsy8mAsXQ/GgJsTlMKsaIaBiJ1qKKgxZohJAwbwQNu61nYVm519humqb7ttlqtaZmCMN1XbZdiNZNvW/sEuivTTgXk/oVVsrM0r/DMLQ4jkuLjQqxaWCVjZmpcKMQYq1IuBZCCLFxILO0SbBgnWWZtdvtUsHaTMX6toFJxRg511puelEFxrF5BbyiKA6Uc52mqcVxPJfwzY684XC4sNzrMAxLXathGLpohyom5YbzPaNp945dYx5BeFlAaJ7kup7VHd5qtWw0GjXi+IQ4KEEQWKfTUeFGIcRakXAthBBi44B7rilfnlHIJk1TJ1hXCZYq1rcdVBVjNNuLOlCutZgE8n7nEa4x/qHo4KygKOxBV3wsI/c6jmOLomjf9lDMtkoQRHuW/R7CteJCmsE8gvCyaLVabgWUzzzucEWGiG1EhRuFEOtET8xCCCE2jkUUNlsEiIMYDofuS30URRMdkBA8JWpuLpOKMeZ5bmmayk0varGIuJB5+hkmzxbRR+HIC4JgYbnXZa7VOoUaqwr/4X7RhPuGOHs+Dprxvii4X5X9btYijWb1ctmF2DTKCjeeOXPGfvrTn1qSJOvePSHEFqOnZiGEEBsJBIh1RDGMRiOXw9pqtWrnGKNYX7fblai5oSDmpewcwk0v0VrUJQxD58ycpc+MRiP3+ln7GuI0Fjl5Bpcp4pKQgX2Q7XU6HUuSxImcZnvCdJ7npdtnpza3C+4XcRzLBdsQIAg3YRKX89r97xRxHLsiy7Nca+122/r9/txxPEI0EUz0hGFojz32mH3gAx9wRaj/83/+z3b48OF176IQYgvRXVQIIcRGsg7nHITJJEksCALr9Xq1XYt4r4r1bS6TijFy5rVyrUVdwjCcq9gsRLRZxxKOKlrGOISVJ2maHjgqAbnWvJ1prmvEhfgOWT5WCdfNADE5TXDAT+pXWOE1qzsc21RkiNhGoiiy7373u3b69GlLksROnjxp3//+99e9W0KILUXCtRBCiI1klcJ1URSWpqlzXXW73ZkEaIhFEjU3l0nFGM32cq0Pmhksdo954kIghM3q5Mzz3Im7yyIMQ+t2uy5K6SCiHa41jlyYFsMwKed6nkkCsRzmjeFYFlEUVRZLnXc/0X+bEIkixCIpisIuvPBCa7fbZmbW6XTsoosuWvNeCSG2lfWvzRJCCCHmgAs0LsvBXBSFyyyGGDPPkl8Ufup2u0vYS7EKJhVjRB9RBIyYhyiKZs7CnWfswwTcKlZ9IOojTVNLksQ6nc5cYydHhnCMQ6vVsiRJSmMYEBeCTGuAAo1yvzYHRHQsawXALLBD2h/Lq/pUnW22221LkmRq/QshNgWYMV784hfbmTNn7Ec/+pH90i/9kl1zzTXr3jUhxJYSFPr2JoQQYkPp9/vWbrcX7h5kwRoPs/N+xmg0siRJ5ha9xfrJsqxSmC6KwgkvTchqFZtHURTW7/et1+vVFraSJLGiKGYa/xBZ0Ol0DrK7M5NlmYtJmvcayfN8n6A46XgGg4GLGuH9yLLMRqPRTG0tlgsmIJowfmJlTdn+DIdDMzPnMJ2FdV17QiwajMVRFDViwkkIsRvoCVoIIcTGAgfdIsnz3AaDgXMmooL6POAhGIVsxOaBYoxlLlWOgGmC6CI2E0R3zBInMKvjejQaWZZla4myWUTuNWKW+P2tVstGo1Fpu8VxvO/nuF9gtY5oBk2KC5mUdY0+NU/fmdRXhdgEsGIH32lVr0UIsUr0FC2EEGJjWWTONfJYh8OhE1oOurQXESMSNTcTLsZYNnmBCBjlWouDMmvxNy5WWIc0TUtjNVbFInKvIf5B5JwkMuLewPcHCNYSrptFk4o0mpm77/tiOq6defYTkSEq1Cg2EUzSZ1lm3W5X32mFECtHwrUQQoiNZRHCNYSUJEmcuBLH8YGdJHmeW57ncqVsKNOKMcKJ3el0dH7FgYHjuo6oxaJ1nb4Hp+e6J1iQVx2Gocusnuf9aZq6cR8F9fxtofAf/xztpQKNzaLsXK2bdrtd6bqe1x0+raioEE0EcXdBECjyTgixNjTyCCGE2FggXM/jYIKDBF/Ie73ewvL6sG2J1pvLpGKM7MTWQ5xYBGEY1nYC4zV1+h7GoqZkkcJ52mq1bDAYzCwChmFo7XbbubaxvTKRMYoiy7Js7OdoM7lemwUE4aaclzAMS4umHiQuxOzs/QQ560I0maIoLMsyV8ND32eFEOtET1tCCCE2FrjnZnmIRE5fv983M7Nut7vQL+Ts1F100UixGrIsszzPK93Uw+HQCRtCLIq6OdcQveoI15jYa9rSbs69njU6xHeu4v9V0Q6+cI18cNEcMM42SdCFyMx9BXn087quUTBUkSGiyWDCE0Wpm3b/EELsHhKuhRBCbDR140LYPTIajZxgvWjHLB5o170sX8zHpGKMZubccnIfiUVTV7iG03ha/2ua29oH0UxmZoPBoLZoCZc14pjMrDTrukxkxERnkwRSsRcX0pQijWbm6lNUua7nBSJgk6JRhACIBjEzRYMIIRqDRiIhhBAbzbS8UhassyyzdrvtclYXzWg0sjRNJWpuKNOKMSrXWiyTutFHcAxPG8OyLHPibVOBCB1FkQ0Gg9piHt4HtzZExuFwOPY6P9qBHddyvDaLg8ZwLIOyaA/0oXknP1SoUTQVjgbR9xwhRJOQcC2EEGKjmeS4zvPcBoOBE5M7nc7SRBzlHm82cKdWFWNk96rOr1gGQRBYGIZTxVuMd5NEBUQibcIkWhAELkMV43UdQQ/XKsTrVqtleZ6P3Q/8CIqmt8Uuc9AYjmWAvsmu60XsZ9VEixDrAN9fFQ0ihGgqevISQgix0cD9xIxGIxsMBjYcDl2WahRFSxUt0jRV7vEGgyzTqoiXNE3dcnYhlkUURVOdnBjvJo1naZq67OdNIYoi63a7lmVZbTcqrle4y/38YFyzmAzA5MC0lTpiPTStSKPZ2X0ajUZjE0qL2M9Wq7Vvu0KsGkWDCCE2AY1MQgghNpoTJ07Yxz72Mfvbv/1bO3PmjA0GA0uSxOWnxnG8dJcdslY3wd0o9pPnuWVZVrk0VudXrArkXE8SxKbFhIxGI8uybCNz9jn3GvUIJoHYhTRNbTQaWRzHVhTFmBgIdyzHhZhZo8RRcRacmyZNKmDyg13XYRjWWh0xbbsq1CjWCUeD6PuNEKLJyDYkhBBiYymKwt7//vfbiRMnLAgCe/zxx+13f/d3rdfrrewLOJZYKg9wM4E7v+r8Tfu9EIsEfQwFGH3quq3jON5Y5xzEaIgq0yKewjB0MSMouovYHzisESnFK28kFjYPLtLYpNVL2Kc8z91+wcl/kFU42AZifYRYBYiSyvNcLmshxEagUUoIIcTGkmWZc0EVRWHPPvvsSl0jEK3jOG7UQ7aox7RijJxrrfMrVgHyc6ucnL5r2AfRA5votmbgRu10OjYcDqfmXkOoR0RKEARjGcScSdxEV6/Yo86qg1VT5o5e1H6WFYAUYlkgGqQoConWQoiNQSOVEEKIjaXVatlll11mnU7HOp2O3XrrrSv9fAghmy4S7SLTijGamZsUUa61WCWTIggmCdc80bItqwOiKLJOp2N5nk+NVGi32y72B/EhZSIj6iI0SRgVeywihmMZYEKE89IXUUwyDENFhoiVgFUscRwrGkQIsVEEhe6QQgghNpjRaGQPPvigmZlde+21K3PGwrUix8pmgmWyk3Kth8OhdbtdPdyJlVIUhfX7/dLIozRNLU3T0nEHK1C2sc9ClB+NRtbpdCrH3DzPXWQIBEVEMECwiePYzpw5Y2Zmhw4dWs0BiJnIssyyLHN5503Bvy8s6j7Bq7c0USoWDUeDVK0wE0KIJqMnbSGEEBtNGIZ2/fXX2+WXX35g51NdOGJCovXmwa7Mqhzh4XAoR5JYC8hlLosOwM/8fglhYlv7bBAE1ul0rNVqWZIklWN9FEXOvYpcYrQZR7CoQGOziaLIRqNR4+Iz/BiaRcXOINddrmuxaFCnA9EgEq2FEJuInraFEEJsBZNyYRdNmqYWhqGcURsIHuKqJh0wKRFFkR7wxNqoGs9QtNEXp7Msc4L3NhPHsXU6HUvTtFLkw7iMrO/hcOh+znEhZhKumwoXaWwaHEOD/VzEdw98p0B/FeKgIBokiqKtndQUQuwG2/3tVgghxM6wqoJbWZa55ZZis4AoPanYonLLRROYJlz7P9tmt7VPFEXW7XbHnIQM3KtpmloQBFYUheV57oT9PM8lXG8AEK6bdo7CMBzLtsa/F7GfrVbLFVgVYl6waixNU7dSZRfuDUKI7UXCtRBCiK0ALrtlOrRGo5EiJDYUPMhNcsrneb5TAqBoLhBc/Ym4MuE6TVOLomjr3dYMokPCMLQkSfa1UxiGTrzmwndwx65qolPMT1OLNJqdFZjhul7kfgZBoEKN4kBgQm80GikaRAixNezON1whhBBbDcScZT3kQvic5NYVzQWOuDq51rskAIpmEgTBPtc1hCzun6PRyLIs28kVAnBWV+Vex3FsYRi6GJUsy/a1qYTrZtPUuBBMgKZpamaL3U/ut0LMQp7nLhqkqvC0EEJsInoyE0IIsTVEUVTqUlwEeIhUrvXmUbcYYxRFOr+iMaBAHSgTrtM0dULXrhLHsXW73dLc63a77VyxEBm5XeVqbTZNLdJodtZ1jeKfi95POLqbeNyieeA7zHA4VDSIEGIr2d1vuUIIIbYOOKEX7bpWhMTmMq0Yo5k58WEXXauiucAdDHEVIhb6cZ7n6rf/RhiGpbnXiBSB2xqxKlmWWRiGEq4bziKLHy4a7Buy1Be5n2EYKjJE1AK1OxQNIoTYZiRcCyGE2BrwhX2RS2wVIbG51CnGOBqNXAEjTUqIJoFigr47GPnXyG9Wvz1LVe41REDEqgRBYKPRyLWjhMFm09QijWZnndGYQFpkkUazs8eNwqJClKFoECHErqAncCGEEFsDvrQvMi5kWkE/0UzqFGOEsK1JCdFUuOgbxFYzc05suevGqcq9juPYTQTAfQ2aKIiKPZpcSJOLKS56PzERI9e18MHEJUwVmsAUQmw7ekoTQgixVSDvdREuJURItNvtBeyZWCXTijGaaVJCNB8uJsguYUUXTcbPvTYz63Q6NhqNLM/zMSd7EwVRMU5TizSa7TmjR6PRwvcT9yf0YSEw4Z7nuaJBhBA7g4RrIYQQWwVySw8qXI9GI+dmkTi0WdTJJNekhNgEMJ6NRiMrisKCIHBxFxIsJoPcawg9ZmfFazMbi3SQm7X5ID+6iecKrmvkpy96PxFzo8gQgWiQMAwVDSKE2CkkXAshhNgqoihyQs+8TjrETEzKRhbNBMXZkHVb9ZrhcKgHP9F4IFBjLAuCwE3KiOkgOiSKIkuSxMz27hG49uW4bj64DprquubvHbxKYhFwHEkThXuxfLDKBtFmMlQIIXYNCddCCCG2iiAIXJbpvA+PnIsqNoc6xRj5Ncq1FpsAC2FFUbg4JFEPCH/tdtsGg8FYLQQzCdebQpOLNGKCJE1Tl6O+SKIoWsp2RfNRNIgQQki4FkIIsYVEUWRBEMwlXNeJmRDNo04xRjNzwoImJcSmAMEKcQGtVmvdu7SRRFFk3W7XZVyDJgqhYj9NLtJodnb/2MW/yP3kOJKmHr9YPH40iCYshRC7ip7ahBBCbB1hGFqapm7pbt0v+xA/2+22HhA2DAh73W53Yq41XEualBCbwk9+8hP70Ic+ZKPRyF7xilfYHXfcse5d2liQe41idydPnrQf/ehHduWVV9rVV1+95r0TkwiCwLmum+g65UgPxJosMtInDEO3fcVcbTdFUViWZc5EoYl2IcSuo6dyIYQQWwfyJmfNmsQDpx4SNgu45Cc9zKvYpthUPvaxj9mZM2csSRL76le/ammarnuXNhrEOgyHQ7vnnnvsM5/5jH3gAx+w++67b927JqawjOKHiwSRHljxtej9jON4IcWnRXOBgQKT7Po+KoQQEq6FEEJsIci5niUuBI5dLcPfLOoUY1SxTbHJ+H1WEy8HJwgCe/rpp11m8GAwsPvvv3/NeyWmEYbhwosfLppWq+X61aJjPXjSpanivZgfRIMEQaBoECGEIDQaCiGE2Eog9tTJmoQbV8tvN4s6xRjNzDlU5VwSm8g73vEOO//88+3IkSP25je/Wf14QVxyySWuLTudjr3whS9c8x6JOiCGo6mghkIQBEvZT6wKQ9yN2HyKorA0Td33Ga0ME0KIcYJC07VCCCG2kCzLLMsyC4LAZUOWAfEziiK5rTcIuKjNbOJDXp7nNhwOlWsthNjHk08+ad/85jft8ssvtxtvvFFjxAZQFIX1+33rdruNdaSORiNLksTMzHq93sL7VVEUliSJtdttrSLacPBdZjQayWUthBAVSLgWQgixleDhtt1uW5Zl1u12S1/HDwwSLTaHNE3dea06b3q4F0KI7YMnLZsKcorjOF7KpDiK92lSdnNB1BmMEzqPQghRjqb0hBBCbCXIuDarjgvJ89yyLJNovWHUKcbITnqJ1kIIsT3EcWxZljU657nVarkIiGUQRdHS4kjEcimKwrIssyRJFA0ihBA1kHAthBBia4miyIqiKC3mhOWZEq03izrFGM3MPcwr/kUIIbaLMAwtDMNGF2kMgsBlqC+6SCO23263LU3TpWxfLAd894RbXjULhBBiOhKuhRBCbC14sPWFazw4yI27WeC8TSvGCEe2XExCCLGdwHXdZDBx+txzz9lgMFj49lG/YzgcNtp9Ls7C2edNzmgXQoimoSk+IYQQW0sURTYcDi0MQxuNRlYUhQVBYHme22g0qsy9Fs0DojW72Ca9rt1u66FQCCG2FNzfR6NRY8f6IAjsS1/6kn3jG9+wIAjsjW98o916660L/QwI+MjTFs0kyzL33UTnSQghZqOZd3khhBBiASDnGnEhWZbZaDRSRMgGgnM3yUXNTno9GAohxPaCScwmx4XkeW7f+MY3LEkS6/f79tnPfnbhn4HIELmumwnqbSgaRAgh5kfCtRBCiK0miiIbjUYuLgRRE011aIn91CnGaLYnbivXWgghtp+mF2lEFjfodDpL+RxM1g6Hw6VsX8yHokGEEGIxaPQUQgix1XDONeJC5HjZHNghP+mhbzQa1RK3hRBCbAe4JzS1OGEQBPaOd7zDzj//fDt27JjdddddlqbpUoT2Vqtlo9Go0Q70XSLLMkuSxFqtluptCCHEAQmKpk5RCyGEEAugKArr9/tuKW2r1ZIjd0PAEtsoiiaes6Io3AOiJiWEEGJ3SNPURqPR0tzMBwXfQXq93r572qLFzCzLXCSFhNL1UBSFpWlqeZ5PnXAXQghRD42kQgghthrkXA+Hw8bnYYpx6hRjxOvCMJRoLYQQOwbu6031YqF4ZBAEFoahdbtdt5Jo0fscRZEFQWBZli10u6IeiAYpikLRIEIIsUA0mgohhNhq8GAYhqFbStvUB1yxR51ijP7rhBBC7BZBELjiy01kNBqN3cOCILBOp+Pc14v8PoJCjXChi9WBaJA4jhUNIoQQC0bCtRBCiK2GnVh4wJXrutmgiOa0vGrOv9ZDohBC7CZNLtJYFMU+5y3E6yAIFi5eY5J+GY5usZ+iKGw4HLoaG8uIgBFCiF1HwrUQQoithYVNOK2b7MwSew+B07Ih4VZrtVpajiuEEDtMk4s0IirEB+7oMAxdvMSiiOPYiqLQJP2SGY1GbuKh2+1aFEXr3iUhhNhK9KQnhBBiK4Gw2W63Xe7jaDSyKIoUF9JQcM7iOJ76AJimqXKthRBCuFoITZuULoqiUrg2O7vfKCqcJMnChHeODNF3neWAaJAoihQNIoQQS0bCtRBCiK0EwiYEUAjWigtpLmma1irGmGWZ5Xmuh0UhhBBmZu6+3iShtigKVyC6ChavB4PBwsTrKIosiiJL03Qh2xNnUTSIEEKsHgnXQgghto48z/cJm2EYOrFacSHNo64YjfgXidZCCCEAJqqbNCntF2acRKvVslarZUmSLOwYWq2W+z4kDg6iQUajkaJBhBBihUi4FkIIsVXADeMLmxwRoriQZlG3GCPObavV0gOjEEKIMZo2KV1WmHEScRxbp9OxwWCwkOOAm1uFGg9OnucuGkQFoYUQYrVIuBZCCLE1ICMZS2QZLNdVXEiz4ImGaQ/4WPKsXGshhBA+URS5XOkmMCnfugoIo8PhcCHiNWp8NEnQ3yTwHQWT64oGEUKI1SPhWgghxNaAB7NWq1X6ezit8W89yK0XnmiYJkZjubOcTkIIIcrApHRT7u3zCNdmZ7+fdLtdS9P0wBnVXKixKYL+pqBoECGEaAYSroUQQmwFo9HI0jSdmH3s51wrLmS94IG8aqIBVMW/CCGEEEwcx5Zl2drv7UVRuOKM8xCGoXU6Hcuy7MBRH2EYKjJkRhQNIoQQzUHCtRBCiI0Hzt1pcRMsVisuZL2gGGOdXOuq+BchhBCCCcNwbJJ6XeB7xkEEzzAMrdvtuqLEBxGd4zi2oijW3i5NR9EgQgjRPCRcCyGE2Fh++tOf2vvf/3772Mc+ZnmeTxU2OefaTHEh66JuMUaz6fEvQgghBAPX9TqZNybEJwgC63Q6TlCdV7zmyBC5rsvBRLmiQYQQollIuBZCCLGRnD592v7qr/7KfvKTn9h9991nn/nMZ2q5Yvyca8WFrJZZijHmeT41/kUIIYRgcG9fZ6bzooRrsz3x2sxsMBjM/Z0FK5cOmpu9jSAaBBEt+s4hhBDNQcK1EEKIjeTUqVPu36PRyJ544ola7+MlxIoLWS2zFGOcReAWQgghQBAEFsfxWu/tixSuzfYc02EYWpIkc4vXrVbLFTsWZ79rpGnq4uY0US6EEM1DT4JCCCE2kosvvtjOO+8863a71uv17Pbbb6/1Pt9lLeF6dcxajLGOwC2EEEL4rLtI42g0WrgAGgSBtVoti+PYkiSZy1GObahQ495kep7nigYRQogGExS7fscSQgixseR5bo8++qgdOXLEzjvvvNrv6/f71m63LYoiK4rC+v2+9Xo9uWyWSJZllqapdbvdqe2cpqllWVbrtUIIIUQZfK9fJav4XoH7ZKfTmdnZzaufdrV+BGptoA30XUMIIZqLhGshhBA7x3A4dK4jM7MkSSyOY7l7l8RoNLIkSazb7U59wJ7ltUIIIUQVaZraaDRy+dCrAvUZut3uUj8nyzJX6HhWcX5X77VFUbiJ9Ha7re99QgixAezOXUoIIYT4Nzjn2szWnoW5zcDZVSerepbXCiGEEJPAvX3VPq1F51tXEcexdTodGwwGlmXZTO8Nw3DnIkMQQ4ZoEInWQgixGeipUAghxM5RlXO9Kw9vq2KWYoxmZ53wYRjqYVIIIcSBQQHmWUXdg7Iq4drs7PeXTqdjw+Fw5uOM49iKotiJifs8zy1JEguCYK54FSGEEOtDI7YQQoidIwgCC4LAFTYKgmCfC1scnLrFGM3OLnkejUbWbreXvVtCCCF2hHUUaSyKYqWZyVEUWbfbtTRN3X23DkEQWLvdtjRNt3bivigKS9PUBoOBtVota7fbyrMWQogNQ8K1EEKInQSua6C4kMWSZZnleW6dTmfqQ+JoNHI5nXqgFEIIsSjgrOX7/TIpimKljmsQhqF1Oh2Xe11XiI6iyMIwnEnw3hQQDYJiz1rNJYQQm4mEayGEEDuJ77BWXMjimEWIRpxIq9XS0l0hhBALJQgC57peBXBbr2MSNgxD63a77h5c9/tMu912k83bAopPBkGwcwUohRBi29AILoQQYifxc64VF7IYZi2wmKapcq2FEEIsjVUWaVyH25pBhjPcxnWOGZEh21CoEdEgSZIoGkQIIbYECddCCCF2Ej/n2kxxIQdl1mKMcHjpwVIIIcSyQJHGVdzfR6PR2u9nEK/NzAaDQS0xOooiC4Jg5YUsF4miQYQQYjuRcC2EEGJn8XOuFRdyMGYpxoilzBKthRBCLJsoilYiyhZF0YhYCriowzC0JEmmfq/hQo2rygNfJIgGMTNFgwghxJahEV0IIcTO4keDKC5kfmYpxghXVKvVsiiKVrSHQgghdpUoilzhxGWy7qgQJggCa7VaFsexJUky9djDMLRWq7VxkSFZlrloEBV5FkKI7aMZd1UhhBBiDfg51/iZhOvZmKUYo9meM1vLeIUQQqwCxIUs03VdFIUrztgUWLweDAZTxes4jq0oio34HoR4sjRNFQ0ihBBbjIRrIYQQO8uknOtNchutk1mLMeZ5XtuZLYQQQiyKOI4ty7Kl3d/htm7iva3Valmr1bIkSSaK0hwZ0uTvQYoGEUKI3UEjvBBCiJ3Gz7lWXEh9Zi3GiIgQ5VoLIYRYNWEYLvX+3jS3tU8cx9bpdGwwGExsgyiKLAxDtzqqaXA0iL5PCCHE9iPhWgghxE5T9hCruJB6zFKMkUVu5VoLIYRYB3BdL4Mm5VtXEUWRE68ntUO73Xa1K5oCJr85GkSitRBCbD/NvrMKIYQQS6Ys51pxIdOZpRgjXm9WT+QWQgghlgHu+cso0rgJwrXZ2TbodruWpmmlqxqRIU0p1IhokKIoFA0ihBA7hkZ8IYQQO01ZzrXiQiaDYox1l+jmeW5pmmpJrxBCiLUSBIGbnF4kRVFsjHBtdna1WafTsSzLKsXpKIosCIKlFrSsA6JB4jjW9wghhNhBNuPOKoQQQiwRP+caP5NwvR8uxlgn8gNLezudzsY80AshhNhellGkEdvaJFE1DEPrdrtuMtpvDy7UuAyH+jT8aJBWq7VR7SuEEGIx6AlSCCHEzlPmrlZcyH7mLcaoXGshhBBNAZOoixRji6LYyMnZIAis0+m4+7X/nScMQ2u1Wpam6Uq/D41GIxsMBooGEUIIIeFaCCGEKMu5RlzIOlxGTWWWYoxm5hxtyrUWQgjRJBZdpHGTYkJ8IF6bmROLmTiObTQarWwVGqJBoihSNIgQQggJ10IIIURZzrXZWUF73dmOTWHWYoyj0Ui51kIIIRrJoldVbbJwbbYXCxKGoSuC6P9u2a5rjgbpdDqKBhFCCGFmEq6FEEIIM5ucc73rcSGzFmPkHOxNfpAXQgixnQRBsNDJ6U0Xrs3Otkmr1bIoiixJkrHvRFEUWRiGbuXVokE0yGg0sm63q3gxIYQQjs2+uwohhBALoiznOgzDnY8LmbcYYxiGtXKwhRBCiHWwqCKNRVFYURRb4Q6GuzqOYyckg3a77VZfLZI8z100SN1VXUIIIXYHCddCCCGEledc4+e7GhfCxRXritB5nttoNLJ2u73kvRNCCCHmZ1FFGiFab5Pg2mq1rNVqWZIkTqiGqF1WxHEe8B1jOBwqGkQIIUQlEq6FEEIIm5xzvatxIbMWV0SkiBxTQgghmk4QBAsp0rgNMSFlxHFsnU7HBoOBE6+jKLIgCBbSZooGEUIIUYftu8MKIYQQc1KWc72rcSF5nluWZbVFaOVaCyGE2DQWUaRxW4VrM3PxHYPBwLIsGyvUOO/3IkWDCCGEmIXtvMMKIYQQc1CWc222e3EhcELVLcZoZpamqYVhKNeUEEKIjQFFGg+S2zwajbZafI2iyLrdrqVp6u71rVZr5kKNigYRQggxDxKuhRBCiH9jUs71rsSFzFqM0cxcsaZZhG4hhBCiCRx0crooiq11XIMwDK3T6ViWZa72xWg0qt1u+G6haBAhhBCzst13WCGEEGIGqnKudyUuBG6oMAxrF2NErrVEayGEEJtIFEVWFMVc9/iiKFxxxm0nDEPrdrtOsIbretqkPqJBIH7vQlsJIYRYHBKuhRBCCKIs5xo/3/a4EBRjbLfbtV4PobvVask9JYQQYiNBXMg893jkW++KGBsEgXU6HRuNRpbnuQVBUBkZUhSFpWnqVnFpglsIIcQ8SLgWQgghiEk519scF4JijLPmWptZbXe2EEII0UTiOHaTt7OwzYUZq4B4DbIs2zfhj2iQPM8VDSKEEOJA7NZdVgghhJhCVc71NseFcDHGug/geZ5bnuda9iuEEGLjwT1+1iKN216YsYogCNx3hiAIrN/v29NPP23D4XBfNMiuCftCCCEWiyxSQgghBME5175DCK7rbXIOwRU1S9wHhG6J1kIIIbYFuK5nWUW0C4UZqwiCwFqtlmVZZvfcc4+dPHnSgiCwd7zjHXbllVdu1XclIYQQ62M377JCCCHEBKblXG9LXMg8xRiVay2EEGIbwb2/7soqFHTcVeHa7Kx4ffz4cXvmmWfszJkzdvr0afunf/onfT8QQgixMHb3LiuEEEJUULVcGEtityUuhIsx1nVOo3iVcq2FEEJsE0EQONd1HYqicKu0dgkI9mmaWpIkFsexE++jKLLzzjtvvTsohBBiq5BwLYQQQnhU5VybnRVsZ83AbCLzFGPM89zSNJ3pPUIIIcSmgHt8nZVVu5RvXRSFZVlmg8HA+v2+DQYDK4rCWq2WXXPNNfba177WLrzwQnvxi19sr33ta9e9u0IIIbaIoNiW9c5CCCHEAun3+9Zut/ctdx2NRpYkifV6vY19YMUxdDqd2st5i6KwJElK20QIIYTYFpIkqRWHlaapW7W0jYxGI1eIGZEoURRZFEU7HY8ihBBitWidrxBCCFECXNf+gyvHhWyigDtPMUa8Bw+sQgghxLaCehbT7neb+j2gCkSAQKwuisKiKLI4ji2Koo2drBdCCLHZSLgWQgghSgjD0LIss1arte93WEq8aQ+s8xRjNNvLtS5rCyGEEGKbiOPY+v2+y7CuYjQabfx9sSgKJ1Tnee5c1Z1OZyfzu4UQQjQPCddCCCFECVEU2XA4LH1wjaLI5Ttu0kMdijHigbQOKMDU7XY36liFEEKIeQiCwLmuq4Tpoig27juA2Z6rGs5quMajKFL9CiGEEI1EwrUQQghRApxGVXEhZpu1TBiFFWcRoBER0m63lWcphBBiZ4jj2IbDocVxXHrPRGHGTRB6fVc1hPlWq+Xiz4QQQoimIuFaCCGEqKAq59pss+JCRqORDQYD63Q6tQVoxIog31IIIYTYFaZNUBdF0egJ3arCihCrhRBCiE1BT6JCCCFEBZNyrjclLmSeYoxm5h52u93uEvdOCCGEaB5BEFgcx5VFGiEGNwW/sKKZuXoWKqwohBBik5FwLYQQQlQwKed6E+JC5i3GOBqNbDgcKtdaCCHEzjKpSGMTCjOqsKIQQohdQMK1EEIIUcGknGuzs8J2k+NCsixzrmnlWgshhBD1QRZ0nudjk79wN69aGGZXNQosqrCiEEKIbUfCtRBCCDGBaTnXTY0LmacYo5lZmqbOtSWEEELsMnEcW5qmpauWVnHfV2FFIYQQu46EayGEEGICk3Ku8cDYtLiQeYoxmp11aOd5rogQIYQQws5+B4DTmSPCliUaF0UxJlarsKIQQohdR8K1EEIIMYFJOde8jLgpwvW8xRiRa41sTCGEEGLXwX0+yzJrt9tmtvjCjGWFFaMoUmFFIYQQwiRcCyGEEBOZlnPdpLiQeYsx4n2zit1CCCHEthPHsSVJYq1Wa+L3gVlARrUKKwohhBCTkXAthBBCTGFSznWT4kLmKcZodjbXOgiCmcRuIYQQYhcIw9DCMHRFGkej0cz3S99VXRSFCisKIYQQNdATqhBCCDGFaTnXTYgLmbcYIx6ilWsthBBClBPHsWVZZlEUWVEUtaJCqgorttttFVYUQgghaiLhWgghhJjCpJxrs/XHhcxbjJHfpwdoIYQQohx8D4AAXXbPVGFFIYQQYvFIuBZCCCGmMC3nGg+w6xCu582nVq61EEIIUY8gCKwoCvve975nR44csWuuucbMqgsrQqjWpLAQQghxMCRcCyGEEDWYlnMdRZFlWWbtdntl+wTxeZ586izLzMyUay2EEEJMIc9ze//732/PPvusRVFkr371q+2lL32pCisKIYQQS0brlYQQQogaoDBTFXEcu4JLqwLFGGct7IQ8bBWEEkIIIabzzDPP2OnTpy1NU0uSxL72ta9ZFEXW6/Ws2+3KYS2EEEIsCQnXQgghRA3guK4SpjkuZBVAfJ41nxou7VnzsIUQQohd5ciRI+6eGUWRPe95z7M4jiVUCyGEEEsmKFZpDRNCCCE2mH6/b+12uzITejgcmpktPS4ERRUn7UsZRVHYYDCwMAxXGmkihBBCbDpPPvmkffGLX7Tzzz/f7rjjDtWHEEIIIVaAhGshhBCiJsiTbrVapb/P89yGw6F1u92lubAgPqP40yykaWp5ns/s0hZCCCGEEEIIIVaN1ggLIYQQNZmWc41lxMucE563GKNyrYUQQgghhBBCbBISroUQQoia1Mm5jqLIsixbyufPW4wRudbtdlu51kIIIYQQQgghNgI9vQohhBA1CYLAgiCw0WhU+ZooiizP84W7rhFDMm8xxiiKZnZpCyGEEEIIIYQQ60LCtRBCCDEDcF1XsYy4EIjPnU5nZsd0nuc2Go1mzsMWQgghhBBCCCHWiYRrIYQQYgam5VwvOi4ExRjjOLYoimZ672g0msulLYQQQgghhBBCrBsJ10IIIcQMTMu5xmsmiduzkKbpXMUYIXgr11oIIYQQQgghxCaiJ1khhBBiBurkXEMonvSaOmRZZnmez1yM0cxsOBxaGIYzu7SFEEIIIYQQQogmIOFaCCGEmJFpOdeICzmI63reYoxmZwXv0Wg0l+AthBBCCCGEEEI0AQnXQgghxIxMy7k2swPlXKMY4zwxH8q1FkIIIYQQQgixDUi4FkIIIWakTs71vHEhyKaOomiuXOvhcGitVku51kIIIYQQQgghNho91QohhBAzUifnet64kDRNzcys1WrNvF/zFnIUQgghhBBCCCGahoRrIYQQYg6m5VzjNbPEhaAY4zwxH3mez13IUQghhBBCCCGEaBoSroUQQog5qJNzHYahFUVRKy7kIMUYR6ORDQYDidZCCCGEEEIIIbYGCddCCCHEHNTJuUZsxzSB+yDFGDnXOoqimd4rhBBCCCGEEEI0FQnXQgghxBzUybk2mx4XcpBijGZ7mdjKtRZCCCGEEEIIsU1IuBZCCCHmpE7O9bS4kIMUY0Su9TzxIkIIIYQQQgghRJORcC2EEELMSZ2c60lxIQcpxsjxIhKthRBCCCGEEEJsGxKuhRBCiDmpk3ON1/nC9Wg0mrsYI8eLKNdaCCGEEEIIIcQ2IuFaCCGEmJO6OddhGNpoNHKvg/A8TzFGM3OZ2fPEiwghhBBCCCGEEJuAhGshhBDiANTJuea4kIMWY8zz3NI0VUSIEEIIIYQQQoitRsK1EEIIcQDq5Fyb7cWFHKQYI+daz+PUFkIIIYQQQgghNgU99QohhBAHoG7ONeJCsiw7UDHGeZ3aQgghhBBCCCHEJiHhWgghhDgAdXOuIWzHcTxXxEeWZTYajZRrLYQQQgghhBBiJ5BwLYQQQhyQaTnXyLWO43iqwF3GaDSyNE3ncmoLIYQQQgghhBCbiIRrIYQQ4oBMyrnmYoytVstGo9FM4jXer1xrIYQQQgghhBC7hJ6AhRBCiAMyKeeaizEGQeCKNNZlOBxaGIbKtRZCCCGEEEIIsVNIuBZCCCEOSFXOdZZlluf5WMRHHMe1hWvkWrfb7YXvsxBCCCGEEEII0WQkXAshhBALwM+5Ho1GNhwO9+VSh2FYKy6k6v1CCCGEEEIIIcQuIOFaCCGEWACccz0pl7pOXAje32q1lGsthBBCCCGEEGInUWCmEEIIsQCiKLKTJ09anucWRZFFUVSZSx3HsaVpaq1Wq/T3aZoq11oIIYQQQgghxE6jJ2IhhBBiAXz961+3z3zmM2Zm9su//Mv2ute9rvK1HBfiO6qRi93tdhURIoQQQgghhBBiZ9H6YyGEEGIBfOELX7AkSSxJEvv6178+8bVVcSHItW632xKthRBCCCGEEELsNBKuhRBCiAXQbrfdv6Momvp6X7guisKGw6G1Wq1a7xdCCCGEEEIIIbYZCddCCCHEAnjXu95lx44ds4suusje+c53TnVMR1Fko9HIiqIws7O51mamXGshhBBCCCGEEMLMggJPzEIIIYRYKUmS2KlTp+zw4cNWFIVyrYUQQgghhBBCiH9Dti4hhBBiDeR5bvfcc48988wzFoah/e7v/q71er1175YQQgghhBBCCNEIFBUihBBCrIGHHnrInn76aev3+3b69Gn7h3/4h3XvkhBC/P/t3bEJxDAQAEHh1GBwqArUhQL3X9Rn34I2mKng4uW4AwCADOEaAA647/t/FuS6rvE8z+GJAAAAoEO4BoAD5pxj7z3e9x1rrfF93+mRAAAAIMNzRgAAAAAAUmxcAwAAAACQIlwDAAAAAJAiXAMAAAAAkCJcAwAAAACQIlwDAAAAAJAiXAMAAAAAkCJcAwAAAACQIlwDAAAAAJAiXAMAAAAAkCJcAwAAAACQIlwDAAAAAJAiXAMAAAAAkCJcAwAAAACQIlwDAAAAAJAiXAMAAAAAkCJcAwAAAACQIlwDAAAAAJAiXAMAAAAAkCJcAwAAAACQIlwDAAAAAJAiXAMAAAAAkCJcAwAAAACQIlwDAAAAAJAiXAMAAAAAkCJcAwAAAACQIlwDAAAAAJAiXAMAAAAAkCJcAwAAAACQIlwDAAAAAJAiXAMAAAAAkCJcAwAAAACQIlwDAAAAAJAiXAMAAAAAkCJcAwAAAACQIlwDAAAAAJAiXAMAAAAAkCJcAwAAAACQIlwDAAAAAJAiXAMAAAAAkCJcAwAAAACQIlwDAAAAAJAiXAMAAAAAkCJcAwAAAACQIlwDAAAAAJAiXAMAAAAAkCJcAwAAAACQIlwDAAAAAJAiXAMAAAAAkCJcAwAAAACQIlwDAAAAAJAiXAMAAAAAkCJcAwAAAACQIlwDAAAAAJAiXAMAAAAAkCJcAwAAAACQIlwDAAAAAJAiXAMAAAAAkCJcAwAAAACQIlwDAAAAAJAiXAMAAAAAkCJcAwAAAACQIlwDAAAAAJAiXAMAAAAAkCJcAwAAAACQIlwDAAAAAJAiXAMAAAAAkCJcAwAAAACQIlwDAAAAAJAiXAMAAAAAkCJcAwAAAACQIlwDAAAAAJAiXAMAAAAAkCJcAwAAAACQIlwDAAAAAJAiXAMAAAAAkCJcAwAAAACQIlwDAAAAAJAiXAMAAAAAkCJcAwAAAACQIlwDAAAAAJAiXAMAAAAAkCJcAwAAAACQIlwDAAAAAJAiXAMAAAAAkCJcAwAAAACQIlwDAAAAAJAiXAMAAAAAkCJcAwAAAACQIlwDAAAAAJAiXAMAAAAAkCJcAwAAAACQIlwDAAAAAJAiXAMAAAAAkCJcAwAAAACQIlwDAAAAAJAiXAMAAAAAkCJcAwAAAACQIlwDAAAAAJAiXAMAAAAAkCJcAwAAAACQIlwDAAAAAJAiXAMAAAAAkCJcAwAAAACQIlwDAAAAAJDyA8Kv+XvaH+oDAAAAAElFTkSuQmCC\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Bonus: Can you label them in the network in a different color?\n", "# create figure and plot\n", "plt.figure(figsize=(20,16))\n", "\n", "# create layout (once so we can reuse it if needed)\n", "node_color = [\"tomato\" if _ == \"PiratePeel\" else \"gray\" for _ in Gt]\n", "node_size = [100 if _ == \"PiratePeel\" else 10 for _ in Gt]\n", "\n", "pos = nx.spring_layout(Gt, seed = 1, iterations=10)\n", "nx.draw(Gt, pos = pos, with_labels = False, node_size=node_size,\n", " edge_color = \"whitesmoke\", node_color = node_color)" ] }, { "cell_type": "markdown", "id": "ed90fe8b", "metadata": {}, "source": [ "# Exercise 6\n", "- Eigenvector (even more advanced)\n", "\n", "Let's calculate eigenvector and pagerank centrality using the power method\n", "\n" ] }, { "cell_type": "markdown", "id": "d7d46b6e", "metadata": {}, "source": [ "## 6.1 Eigenvector\n", "\n", "For eigenvector centrality, each node has an influence of 1, that it is distributed to the neighbors. This process is done many times, until it converges." ] }, { "cell_type": "code", "execution_count": 27, "id": "7e83dbb5", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "['Alice', 'Bob', 'John', 'Amy', 'Mike', 'Rose']\n", "[0.48666426 0.32444284 0.64888568 0.16222142 0.32444284 0.32444284]\n" ] }, { "data": { "image/png": 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\n", 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "['Alice', 'Bob', 'John', 'Amy', 'Mike', 'Rose']\n", "[0.48365083 0.38692067 0.60456354 0.19346033 0.31437304 0.33855558]\n" ] }, { "data": { "image/png": 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\n", 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "['Alice', 'Bob', 'John', 'Amy', 'Mike', 'Rose']\n", "[0.483843 0.40141049 0.58777964 0.20428927 0.322562 0.33689809]\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "[('Alice', 0.49816568565363206), ('Bob', 0.40845488054415907), ('John', 0.5634381194270055), ('Amy', 0.21678431148030036), ('Mike', 0.3410115867353848), ('Rose', 0.3228756816201712)]\n" ] }, { "data": { "text/plain": [ "{'Alice': 0.49816562620567956,\n", " 'Bob': 0.4084543148167931,\n", " 'John': 0.563437771403002,\n", " 'Amy': 0.21678389847563684,\n", " 'Mike': 0.3410123357350908,\n", " 'Rose': 0.32287658256564244}" ] }, "execution_count": 27, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Eigenvector centrality, manually\n", "N = len(G_dir)\n", "A = nx.to_numpy_array(G_undir)\n", "\n", "# Start with everybody having 1 unit of influence\n", "weight = np.ones(N)\n", "for i in range(100):\n", " # spread influence to neighbors \n", " weight = weight @ A\n", "\n", " # normalize uwing the geometrical mean\n", " weight = weight / np.sqrt(np.sum(weight**2))\n", " \n", " if i < 5:\n", " print(G_undir.nodes())\n", " print(weight)\n", "\n", " plot_network(G_undir, None, values = weight)\n", " plt.show()\n", "\n", "# Compare with the results of networkx\n", "print(list(zip(G_undir.nodes(), weight)))\n", "nx.eigenvector_centrality(G_undir)" ] }, { "cell_type": "markdown", "id": "7cbaeafc", "metadata": {}, "source": [ "## 6.2 Pagerank\n", "For pagerank centrality, we start with 1 random walker distributed over all nodes, from there, it gets distributed to the neighbors (1/k of the random walker go to each of the k neighbors). This process is done many times, until it converges." ] }, { "cell_type": "code", "execution_count": 28, "id": "74f5b2e5", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[('Alice', 0.31535471331389314), ('Bob', 0.2930515063168089), ('John', 0.3059687803692869), ('Amy', 0.024999999999999696), ('Mike', 0.024999999999999696), ('Rose', 0.03562499999999957)]\n" ] }, { "data": { "text/plain": [ "{'Alice': 0.3153534818017285,\n", " 'Bob': 0.293052806246324,\n", " 'John': 0.3059687119519481,\n", " 'Amy': 0.025,\n", " 'Mike': 0.025,\n", " 'Rose': 0.035625000000000004}" ] }, "execution_count": 28, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# PAgerank centrality, manually\n", "N = len(G_dir)\n", "A = nx.to_numpy_array(G_dir)\n", "\n", "## Calculate transition matrix (Row normalize matrix)\n", "# construct diagonal inverse degree matrix\n", "degree = A.sum(1)\n", "D = np.diag(1./degree, 0)\n", "A_hat = (D @ A)\n", "\n", "# random walkers are spread out evenly\n", "weight = np.ones(N)/N\n", "\n", "for i in range(1000):\n", " # calculate where random walkers go next\n", " weight = weight @ (0.85*A_hat + 0.15/N)\n", "\n", "# Compare results with networkx\n", "print(list(zip(G_dir.nodes(), weight)))\n", "nx.pagerank(G_dir)" ] }, { "cell_type": "markdown", "id": "6c55ee50", "metadata": {}, "source": [ "## 6.3 Infinite random walker\n", "\n", "A random walker ends up a fraction of time in each node proportional to the degree of the node" ] }, { "cell_type": "code", "execution_count": 29, "id": "55acfe29", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[('Alice', 0.6000000000000002), ('Bob', 0.4000000000000001), ('John', 0.8), ('Amy', 0.20000000000000004), ('Mike', 0.4000000000000001), ('Rose', 0.39999999999999997)]\n" ] }, { "data": { "text/plain": [ "{'Alice': 0.6000000000000001,\n", " 'Bob': 0.4,\n", " 'John': 0.8,\n", " 'Amy': 0.2,\n", " 'Mike': 0.4,\n", " 'Rose': 0.4}" ] }, "execution_count": 29, "metadata": {}, "output_type": "execute_result" } ], "source": [ "\n", "N = len(G_undir)\n", "A = nx.to_numpy_array(G_undir)\n", "\n", "## construct transition matrix (row normalised adjacency matrix)\n", "# construct diagonal inverse degree matrix\n", "degree = A.sum(1)\n", "D = np.diag(1./degree, 0)\n", "A_hat = (D @ A)\n", "\n", "# it does not matter where the walker starts\n", "weight = np.ones(N)/N\n", "\n", "for i in range(1000):\n", " # calculate power\n", " weight = weight @ (A_hat)\n", " \n", " \n", "# Compare to networkx\n", "norm = max(nx.degree_centrality(G_undir).values())/max(weight)\n", "print(list(zip(G_undir.nodes(), weight*norm)))\n", "nx.degree_centrality(G_undir)" ] } ], "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": "3.10.5" } }, "nbformat": 4, "nbformat_minor": 5 }