3b9d1c6
joyvan 6 years ago
3 changed file(s) with 303 addition(s) and 216 deletion(s). Raw diff Collapse all Expand all
5656 },
5757 {
5858 "cell_type": "code",
59 "execution_count": 2,
59 "execution_count": 1,
6060 "metadata": {},
6161 "outputs": [],
6262 "source": [
6363 "# 首先导入必要的包\n",
64 "from search import SearchGraph\n",
64 "from search import Graph\n",
6565 "import collections\n",
6666 "import matplotlib.pyplot as plt\n",
6767 "import collections\n",
7373 },
7474 {
7575 "cell_type": "code",
76 "execution_count": 3,
76 "execution_count": 2,
7777 "metadata": {},
7878 "outputs": [
7979 {
101101 "nodes_pos = {\"A\": (1, 1), \"B\": (3, 3), \"C\": (5, 0), \"D\": (9, 2),\n",
102102 " \"E\": (7, 4), \"F\": (6,6),\"G\": (11,5)}\n",
103103 "\n",
104 "# 绘制无向图\n",
105 "g = SearchGraph(node_list, weighted_edges_list, 'A', 'G', max_depth=3, nodes_pos = nodes_pos )\n",
104 "# 实例化图\n",
105 "g = Graph()\n",
106 "g.add_nodes_from(node_list)\n",
107 "g.add_weighted_edges_from(weighted_edges_list)\n",
108 "g.set_nodes_pos(nodes_pos)\n",
109 "\n",
110 "# 设置起点\n",
111 "g.set_start_node('A')\n",
112 "# 设置目标点\n",
113 "g.set_target_node(\"G\")\n",
114 "# 设置最大搜索深度\n",
115 "g.set_max_depth(3)\n",
116 "\n",
117 "# 显示无向图\n",
106118 "g.show_graph()"
107119 ]
108120 },
143155 },
144156 {
145157 "cell_type": "code",
158 "execution_count": 3,
159 "metadata": {},
160 "outputs": [
161 {
162 "data": {
163 "image/png": 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\n",
164 "text/plain": [
165 "<Figure size 432x576 with 1 Axes>"
166 ]
167 },
168 "metadata": {},
169 "output_type": "display_data"
170 }
171 ],
172 "source": [
173 "g.show_graph(this_path=\"ABDG\")"
174 ]
175 },
176 {
177 "cell_type": "markdown",
178 "metadata": {},
179 "source": [
180 "## 2.1.2 搜索算法"
181 ]
182 },
183 {
184 "cell_type": "markdown",
185 "metadata": {},
186 "source": [
187 "<center><video src=\"http://files.momodel.cn/search_tree.mp4\" controls=\"controls\" width=800px></center>"
188 ]
189 },
190 {
191 "cell_type": "markdown",
192 "metadata": {},
193 "source": [
194 "搜索算法就是不断从某一状态转移到下一状态,直至到达终止状态为止。"
195 ]
196 },
197 {
198 "cell_type": "markdown",
199 "metadata": {},
200 "source": [
201 "**想一想**"
202 ]
203 },
204 {
205 "cell_type": "markdown",
206 "metadata": {},
207 "source": [
208 "搜索树是什么?\n",
209 "\n",
210 "如何构造搜索树?\n",
211 "\n",
212 "思考一下,路径搜索能出现回路吗?\n",
213 "\n",
214 "在搜索树中能够扩展的节点需满足什么条件?"
215 ]
216 },
217 {
218 "cell_type": "code",
146219 "execution_count": 4,
147220 "metadata": {},
148221 "outputs": [
149222 {
150223 "data": {
151 "image/png": 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\n",
152 "text/plain": [
153 "<Figure size 432x576 with 1 Axes>"
154 ]
155 },
156 "metadata": {},
157 "output_type": "display_data"
158 }
159 ],
160 "source": [
161 "g.show_graph(this_path=\"ABDG\")"
162 ]
163 },
164 {
165 "cell_type": "markdown",
166 "metadata": {},
167 "source": [
168 "## 2.1.2 搜索算法"
169 ]
170 },
171 {
172 "cell_type": "markdown",
173 "metadata": {},
174 "source": [
175 "<center><video src=\"http://files.momodel.cn/search_tree.mp4\" controls=\"controls\" width=800px></center>"
176 ]
177 },
178 {
179 "cell_type": "markdown",
180 "metadata": {},
181 "source": [
182 "搜索算法就是不断从某一状态转移到下一状态,直至到达终止状态为止。"
183 ]
184 },
185 {
186 "cell_type": "markdown",
187 "metadata": {},
188 "source": [
189 "**想一想**"
190 ]
191 },
192 {
193 "cell_type": "markdown",
194 "metadata": {},
195 "source": [
196 "搜索树是什么?\n",
197 "\n",
198 "如何构造搜索树?\n",
199 "\n",
200 "思考一下,路径搜索能出现回路吗?\n",
201 "\n",
202 "在搜索树中能够扩展的节点需满足什么条件?"
203 ]
204 },
205 {
206 "cell_type": "code",
207 "execution_count": 5,
208 "metadata": {},
209 "outputs": [
210 {
211 "data": {
212 "image/png": 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\n",
224 "image/png": 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\n",
213225 "text/plain": [
214226 "<Figure size 1080x324 with 1 Axes>"
215227 ]
255267 },
256268 {
257269 "cell_type": "code",
258 "execution_count": null,
259 "metadata": {},
260 "outputs": [],
261 "source": [
262 "g.animation_search_tree('dfs')"
270 "execution_count": 5,
271 "metadata": {},
272 "outputs": [
273 {
274 "data": {
275 "image/png": 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\n",
276 "text/plain": [
277 "<Figure size 1080x324 with 1 Axes>"
278 ]
279 },
280 "metadata": {
281 "needs_background": "light"
282 },
283 "output_type": "display_data"
284 }
285 ],
286 "source": [
287 "g.animate_search_tree('dfs')"
263288 ]
264289 },
265290 {
271296 },
272297 {
273298 "cell_type": "code",
274 "execution_count": null,
275 "metadata": {},
276 "outputs": [],
277 "source": [
278 "g.animation_search_tree('bfs')"
299 "execution_count": 6,
300 "metadata": {},
301 "outputs": [
302 {
303 "data": {
304 "image/png": 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\n",
305 "text/plain": [
306 "<Figure size 1080x324 with 1 Axes>"
307 ]
308 },
309 "metadata": {
310 "needs_background": "light"
311 },
312 "output_type": "display_data"
313 }
314 ],
315 "source": [
316 "g.animate_search_tree('bfs')"
279317 ]
280318 },
281319 {
376414 },
377415 {
378416 "cell_type": "code",
379 "execution_count": 6,
380 "metadata": {},
381 "outputs": [
382 {
383 "data": {
384 "image/png": 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hlbFyX4f7ZNzPALoCOYQRJrsCDxIWKc/F7ELCDUsREakHpuRVFZnZUOBMQsavb9x9j8jrNwL7A/tHFgZfBjxO6L36T2Tz+939TDP7O2EOwumRz9wMnE9YE+3tyM8fCZPPiwjBWmtCz18X4BJ3L13fzcxOiJTThU3XfStvMvClu58e5bu9C8x29wsiQdH27v6FmY0nrKvUG9jG3b+N4ffVkRAUHuvuz9Rym5Lvc6K7PxF5bSqQ5+6HRp7fRrjD3tXd15nZ/oS77se4+7O1bZ+INH5mbEVY/mQkIahoRhg+OYkQzE2NJ3FJKuTm2kDCja2RhON3K6rOellACOCyCN/p9pycKpNv1a9w7tidssyYO0femU1o90RgnjJjioikhpYm2NT3wBjCnIvyqfmvANq6e8lciHeAfHd/ysz2JfQqlUywvy/yXsnd1AvN7F5C8pO9CFknuxAWva7ck/ZE+UAuIouQkGRVFe+ViqwVV91k9eYl70d63r6IvD4/Uv74WAK5cm2DsmQmtdEaeJ8wbKfEK1TsCf0PYdHetoSgN5ewlEPlRCgikobM2IGyJQT2irz8JWGx7InAh+4Vl35piCIB2Ym5udaBsMTNQEJA2o1wPNtACExzCcNDp+fkeLTlXOpfOHfMjjyuwqwP4f/oaEKm5OsImTFLArsZhIRhIiKSBOqZq4KZ7eTu81JQjxGCq0xCIFMYbRimiEg6M8OAAZT1+OwYeWsmkR4fdxI+p1gSKMx3LulB3Z9ww3gZoQd1EpCL+8b6a6CISPpRMCci0jRkAUMIvUJ7EIb0fQn8DVI/twxCBkrCMiklPTs9KJtnPBGY5M539dE2qSOzDsBhhP/bEYThpb8QpgNMBF6hbKRLqmUCvyGssbcZ4Wbq/wjD/58H7XMi0ngomBMRSU/NCD1dBxB6S3YD1hPWfiyZs7WBkHH2KOCtVDTKjGzgQMJF/hGE5UvWA68RLvJfrI/EJZJEZjX+n+Oeyv/zfxASlLWu9Ho+IanXQkKSs2dBvcEi0rApmBMRSQ8ZhLUhS4K3vQhJNbKofi4thIRM2wJrktEwMzoQkiyNBA4h9NKsoqyX5lX3pC22LQ2JWY29sbgns2fsEEKQ1qqGz22ItOtnwlI9TxOG/Gr+n4g0KArmREQaJwP6EOYmHUm4QIbQIxdLQiIISYaujzwS0zijG2Xzp4ZTcf7URCC3oWaglBQJ88b3oGye5E6Rd2ZRlhnzswRnxpxJ6LGORSGhJ7EAeA54EphK3dcRFBGpMwVzIiKNRzvCMLWjCUFcyXqYlYeLxeNLwlqacTOjJLPhSELmRoCvKLswn9EYMlBKPTHbnrL9p3wG05L958M6ZsbsAiygblmRiwkLuTcDpgD/Bl4lDNEUEUk5BXMiIg2fAacC4yPP2yahjo2Ei92fa92okIGyxjXH3NGJRmJjVtXagksICUomAlOJPfvz2YSlLRJx8wPCjZQ1hODwZeAPhOBTRCRlFMyJiDR8lwNXkbiL0KqsJgSMk6r7UCQD5T6E3sGjga0JvRVvR7ad5M7CJLZTmhqzjoQ5l0dTNufyZ8rNucS9Nj1j04ChSWplMWEo5jnAo0mqQ0RkEwrmREQatk6EoWE1JWyowN0xM1asWMHEiRNZsWIFo0aNYocdoo6kdOCfhIvRCsxoScVshFsQEkSUz0C5Ipb2icTFrBUV98XNCHM+XyXcTHgR95VVbNke+IGakwGxYMEC8vPz2WmnnWr6aFXWERIRfRPPxiIisVIwJyLSsA0nBEztY91w/vz5nHTSSfz444907NiR1atXc91113H88cdTXFxMRkZG5U0WEXraMKM9FdcJa03ovStdJ8ydtXF/K5G6Cpkx96MsM2Z3QgbKqZRlxlwc+fQJhCUJqhyivHTpUlatWkVubi6PPvooI0eO5LLLLqOoqIjMzMxYWlUIPEgY0ikiknSbnMlFRKRB6UiYMxfVnDlz+O1vf8shhxzC+PHjWbs2xFj3338/S5YsYerUqTz11FMMGDCASy+9lLy8vKoCOdzpMmAAl5jxCmG5gn8ThlQ+Rhje1smdk9x5RoGc1Dv3QtzfxH0s0BMYBNwMdAMmAN9hNgOzcaxadQ7VzDV99dVXGThwIOeffz5r167lhBNOACAzM5OFCxfyl7/8haOOOoqHH36YgoJqp+o1IwSVIiIpoWBORKRhW1bdmz/99BPnnnsu8+fPZ7vttmPcuHFccMEFALzxxhscc8wx9OjRg2233Zarr76atWvXMn78+CovSNesoUWfPtxCWHPuTsL8oq3cOcedV93ZmPivJ5IA7o77h7hfgfuOwI7AOMDJyrqBrKz9qtv8tNNO44UXXqBfv37069ePHj16ALB69WoOP/xw7r33Xlq3bs3FF1/MI488UlNrlLFVRFJGwZyISMP2EdWsG/f666/z2WefcfPNN3PXXXdx+eWX8+STTzJr1iyaN29eOkTM3dlpp504+OCDeeaZZ/juu03XZW7XDv72NyYD27tzmTvvaykBaZTcP8f9Jtz34p13xpCRsT76R8N0k/z8fMyMoUNDjpT169dz2223sXTpUp544gkee+wxTjzxRK6++moKCwujFbeBMMxTRCQlFMyJiDRs64G50d6cOXMmffv2pXPnzgAMHz6cDh068Oijj7LtttvyxRdfAJRefB533HF8/PHHzJs3r8ryOndmkJYSkLSy554Hk5UVdW25sHY5zJgxA4D9998fgEWLFvHkk09y/PHHs++++5KRkcGAAQMoKChg0aJF0YorIswrFRFJCQVzIiIN3wtQ9RDHnj170qJFC4qLQwfa5ptvTvPmzQHo1KkTs2fPBijtocvJyaG4uJgFCxZEq6st0CtxTRepV80IyxpUO+90xYoVzJ07l6233pqddw7LJS5btoyvv/6aUaNGlX7u008/ZYsttmDNmjXRiloJfJ6QlouI1IKCORGRhu8NQg/dJs455xymTJlC7969AVizZg2LFy9m9OjRbLvttnz//fcsWrSIjIwMiouL6dixIz179mTRokUUFRVVVWQRIYOmSDrYG6L3NJcMsfzoo49YvHgxe++9d+l7v/zyCwBdunQpfW3u3LlkZWWx/fbbV1VcAfBEIhotIlJbCuZERBq+mURZH6tFixa0bt269KL02muvpX///gwdOpShQ4fSsWNHnn76aQAyMjLYsGEDvXv3ZtmyZWRmZpb26JXThrB+l0g6OI6wrEaVyg+xLCgo4IADDih9r0WLFrRp04ZPPvkEgHvuuYfXX3+dXXbZhezs7Kr+djYATye4/SIi1VIwJyLS8BUQArqozIzJkyfz5ptvcuWVV5KZmcl2223H4YcfzkMPPVQ6xycvL49mzZrRrFmz0u2qMJwahqWJNAIGHAtUu1DcmjVrmDNnDt26dWPgwIGlrx9yyCH86le/4oQTTuCggw7i/vvvB+Coo46KVtRGavg7FRFJNAVzIiINnBn28cd8UFBA1BR6+fn53Hrrrey///6MHj2aoqIi2rVrx+WXX86PP/7IVVddxQ8//MDcuXOZPn06hx12WKTsKmO25kDf5HwbkZTZCciO9mZJb/asWbNYsGABQ4YMKX1v2rRpvPjiizzzzDO89957XHjhhWyzzTYMHDiQ4cPDKOQKazUWFztfffUeZjGtMC4iUlcK5kREGiAzMs3Y14zbga9PPZXfr1tHs2if/+ijj5g+fTq33norEBKeFBYWstNOO3HjjTfy5ptvcuCBBzJq1CgOOeQQDj300Oqqd2CvhH4hkdTbjWrWfCu5kbF8+XLWrl1bYb7c888/zxVXXMHq1asZPHgwnTp1Yvr06Rx77LFsttlmpYFgqbVrjbPPPhz4HrN/YXYkZlEDSRGRRIl6YSAiIqllRhZwADASOBLYkjB0641587ixTRvuBFpVte2jjz7KsGHD6NChA7Nnz2bq1Kk89dRTnHvuuZx22mkMGDCAadOm0bdv39KeBXeP1jOXBXROwlcUSaVaDRU+7rjjOPLII2nZsmw5xwMPPJBnn32Wxx9/nBYtWnD11VeTk5PD6aefXnUhbdvmM2vWGMLf7dHAGCAfs1eAicBk3FfV6duIiFRBwZyISD0yox0wghDAHUpYGmAN8DLhInCKO6sjHz8GOKiqcubNm8e7777LoEGDWLp0Kb169WLAgAGladb79+9P//79K9Ud9Vq3gJBiXaQxW0otA7rs7IqdaDk5OYwePZpx48bRtWtXTjnlFMaNG0e7du2ATf52HLOX+OWXp4GnMWsO5BD+po8GRgGFmL1F+Jt+HveldftqIiKBbTJUQEREksqMLYGjCBd6vyJkqvwReJ5wsfdfdzZUsenvgFuo1DtXXFzM7bffzty5czniiCM46KCDaN++fV2auA7YE/i0LoWI1DMDPiHM/4x7Wsl3331Hjx49qvvIauBUYNKmLbAMYBAhsBsJ9Im8M53wtz4R96/ibZuIiII5EZEUMKM3ZRd0exMuNL+l5IIO3nenyoXfyulLyJYXNdV6AuQDjwDnJrEOkVTZjtDLvRVRhijXRjVDkiGsAbk54W8nulDATpT12A2IvPMp4RgwCZi96YQ8EZHoFMyJiCSBGQbsQlkAt2vkrbmUBXBz3aMvaFxVsYThjx0S2NQSawgp3C8F7qWaxBEijUwWcBFwPtCRsJ9nJbD814ky/LlaZj0JQd1IYD9C7+EiQlA3EXgX96gZbEVEQMGciEjCmJEJDKYsgNuGkBnyPSIBnDvf1LGaZ4DRdSwDII9w8bgGeAN4kdCDsbq6jUQaMQN2JPz9nAL0IPx91iXr5BrgPODRurXMtgCOIBw3DiIEmz8BLxCOHa/jvr5OdYhIWlIwJyJSB5EMlPtTloGyMyGByBuEi7AX3FmewCqPAh4D2sS43TpCb1shkEu4SHyLMNRTpCkq6Rk7FehHyBwb69/VeqArkLhMlWZtgEMIx5TDgPaEmy9TCMeUl3D/JWH1iUijpmBORCRGZrSlYgbKdsBayjJQvlwuA2XCqwc+APYgDBeLZgPh4jQTmEZIrvIm8DnENLRTpCko6Rn7DTCE8PfTroZt8oH7gQuT1iqzFlTMjNmFcLOofGbMZUmrX0QaPAVzIiK1YEYnQs/bSEIGyixCBsqSYVD/dSdVw6C2IVzMbU5ZMpSNhF6CFsAsQvD2X+BjqDGxioiUaQMcDJwU+VkYea18Rsx8wvy23aDKzLOJFzJj7kXZMO7tCDdmymfGnJ+StohIg6FgTkQkCjN6UZagYB/CxdxCyhKYTKtFBspkaU5YmLgfsBkhBfs7wIeEO/ciUnclPWO/Bg4kZMTcAPwTuJ3QI596ITPmzpQFdrtH3vmEsuPTHGXGFEl/CuZERCIiGSj7URbAlVwg/Y+yDHNzYsxAKSKSXGa9CMeto4F9CTeeFlB23JqGu3roRdKQgjkRadLMyKBiBsptCUOX3iey9pM7GrokIo2DWSfKMmMeSMUh4ZOAN5QZUyR9KJgTkVobO4UOhOQAA4FhhIV4WxDmay0BphIWtX5/wogEZndLMDNaAMMJFztHUZZU4E0iSQXc+b7+WigikgBmbamYGbMkWVNJZsyXG3xmTLNan3dwb7DnHZFkUTAnIjUaO4WBwO8JQ3g2EOaNNK/iowWExABZhDvAt00YwcxUtbM6ZtSY7tudhn1RIyISL7MsKt7EKllG5b+UZcZM5DIqdWMW93kH9wZx3hFJBQVzIhLV2Cl0J6xptifhRFldKvzKiggn4BnAKRNGsDjxLayeGVtQloGyZLjRCipmoFyX6naJiNQrs0wqDi/fhjC8/D3KMmN+U09tS9h5B/eUn3dEUk3BnIhsYuwUjJApcQJhOEtVd0Nrq4AwHGYs8NCEEclNHmLG1pQlMClJBLCIihkoC5PZBhGRRiNkxuxHWWC3W+Sd/1F23Pw46ZkxQzvGkITzjrJ6SjpTMCciFUQCuduBMylbwywR8oD7gIsTGdBFMlDuRNmFyB6Rtz6l7ELkI2WgFBGpBbPeVFySxYBvKcuM+V7CM2OGQC6p5x0FdJKuFMyJSKkkBnIl8oD7JozgoroUEslAuRdlFxx9Im+9T+SCw52v6lKHiEiTZ7YlZUPVf0XoMfuBckPVca/bounJC+RKhIDOvU7nHZFcpWkTAAAgAElEQVSGSsGciJQaO4XTCENcknFCLZEHjJ0wgn/FslEkA2UOZZP3uwKFVMxAuSyxTRUREQDM2gEjCDfRDgPaAmuAlwnH4Cm4r46j3JSdd3CP6bwj0hgomBMRoDTZyeck94RaYi3Qd8IIllT3ITNaU5aB8nBCBsp8KmagVCpqEZFUCpkx96fs5tqWhDlqbxBGRzyP+w+1KCfl5x3cqz3viDQ2CuZEBICxU8gFhlK3See1VQBMmzCC4ZXfMGNzyha8PQhoCaykbFjP68pAKSLSQITMmEMom7fcm5AZcxplmTG/jbJtLik+7+C+yXlHpDFTMCcijJ3CnkAuYR2fVMkHhk0YwUwzelA2/20/Qirq7yibcP+OMlCKiDRwYf5bf8oCu/6Rdz6mLCHV/3B3zOrtvKN16CSdKJgTEcZO4QngWGJbz6dO3Cn64Ss+ffr/KAAGRF6eR9kJf7YyUIqINGJm21AW2A0lZMb8hnCM35WwiHnKzjuEdeiewv3EFNYpklQK5kSauLFT6AAsIwxnrJXFc3OZ9IfISBUzWm/WjR32P4Uhp16PZWTUuu7CDfDQqcxcv5pnCBkov4yt9SIi0iiYdaZiZsyYh1YWA38krDXQDDgV+EvsBa0HuuKu+daSFmp/1SUi6WoIEFdq6TGPLObM/6zkkCue5rPXH+TTKf+MafvM5qz57ZNc5c5fFciJiKQx9+W434f7ocAJhCGPMbkGeJjI5OnIz9tjb8kGYHDsm4k0TArmRGQgcWYSa9G6PVltOtB1xyF067cfyz5/P6btLYOWkfpFRKTp2ImwZl2trQfuBP4K7AvsAlwAsa1xE7RC5x1JIwrmRGQYYcRK3FYvX8CyedPotM1usW7anLB2nIiINB0xn3dmE9YWGFbutX2Bg2OvW+cdSSt1uoATkbSwVbwbPvSb7gBszPuF3oOPov+RF8RTTLd46xcRkUYp5vPO4sjPruVe2xX4W3z167wjaUM9cyIS01CX8o657T2OGz+LQ654hu8/f585z90WTzFZ8dYvIiKNUsznnY2RnwlKfanzjqQNBXMisrHmj1StTaeetO+6LdvtM5rdR13CrKdviqeYuJKviIhIoxXzeadj5OfKcq9NJs4J3zrvSBpRMCciSxJSijvFRQXxbLk0IfWLiEhjEfN5Zw/CRWv5NFtfAt3jq1/nHUkbmjMnIlOB/YhjzZ+Neb9QtHE9K779mLkvTqD7rgfEWkQBkBvrRiIi0qjFfN7pChwPXBz5dyEhu+Xpsdet846kFQVzIjKTsN5P+1g3fOg33SOLhndl64GHMmTMDbEWkR+pX0REmo64zjv3A5cABwItgTGERcRjpPOOpBVz9/pug4jUo7FT6AAsI5wbU2090HXCCFbVQ90iIlIfzOr9vIO7zjuSFjRnTqQJM8PuOpSBC2fyS3FRausuLsJXLeWDuw7ll9TWLCIi9SoEUpOAFJ95KAImKpCTdKJgTqQJMiPDjJHADOD1GY+T6U5c2UviVVQIr97EMOBjM04007BvEZEm5DZSn1VyQ6RekbShYE6kCTGjuRmnAp8AzxGyPZ+1/HO6ZzZjGqQsoCto1px3fpzPbwhzd/8NfGHG2Wb1MuxGRERSyX0m4YZiys47wAzcZ6WoPpGUUDAn0gSYkW3G+cB84CHCSe0EoK8797mzATiFOqw5F6MNlsGJ7jwK9ANGAj8B9wLfmHGJGW1T1BYREakfKT3vACenqC6RlFEwJ5LGzGhvxjhgITABWAwcDuzmzpPuFJZ8dsIIFgNjgbwkNysPuGDCiLDOkDvF7kwC9gJ+BXwG3AIsNONaMzZPcntERKQ+uKf0vIN7YtZVFWlAFMyJpCEzOptxI7AIuAGYBQwD9nHnJXeipbF9CLiP5J1Y84D7JozgX5XfcMfd+a87BxACu6nA1cAiM+4wi3dtWBERacAeIgXnHdw3Oe+IpAMFcyJpxIytzbgLWABcDrwKDHBnhDtvVxPEATBhBE5YkzUZJ9a8SLkX1/RBd2a4M5IwBPNZwp3bb8y434w+CW6XiIjUl7BGVr2fd0QaK60zJ5IGzNiJELydCDjwKHCzO1/EU97YKRhhPdbxQBbQvA7NKyDMVbigqh652jCjF3ApcEakLc8AN7ozpw7tEhGRhsIsKecd9chJulMwJ9KImbEnMI6QQCQf+CdwuzvfJaL8sVPoTggMBxFOrpkxbF5EOJnOAE4umSNXF2Z0Bv4POA9oC0whBHXv1LVsERFpAMwSdt7RHDlpChTMiTQyZhgwHLgCOABYRUhuMt6dFcmoc+wUBhKGqYwknChbUfVd0wJCUJkFTARunzCCmYlujxkdgN8RArtOwDTC3MApNQ0lFRGRRsAs7vNOZNkDkSZBwZxII2FGBnAkoSduEPA9cDvwD3dWp6INY6fQARgMDARyVn/PkIxmZLTZgm+BpUAuMBOYPmEEq5LdHjNaEYZeXgr0AD4GbgKedqco2fWLiEiSmVU47wBDCDkfNjnv4J70845IQ6NgTiQ+BnQHegFrgTmQnB4hM5oDxwN/AHYinMBuBh5yZ30y6oyhbbkA7uTUcztaEOYLXg70JayndzPwSGQNvaRUC+wJjCDsAx8TMnCmagFcEZGmxywXAPecem2HSAOhbJYisckCziQEVF8ALwLvEJYAGJTIiiILff8O+BJ4BCgGTgK2d+fe+g7kGhJ3NrrzELAzMBr4hTB/8BszLjajTYKrbEEYzvMm8EfgekLWzaXA6cQ2x0NEREQkLuqZE6mdNsA5hHlqzSPPK1sD7APMrUtFZrQDzgUuAjoD0wnzwV5yp7guZSdaQ+mZqywyr/BXhCGpw4GVhAxpE9xZWdfigReA/QlzOCpbC6wgLKfwEknqsRURSVPbAbtT9fEVLrroDwDcccdNUbYvABYD7wGFiW+eSMOiYE6kepsRgqr/I/RkV31yCZzQi7YTxB50mbElcCEhU2N74DXgRmBqQ03q0VCDufLMGEwI6o4krDn0D0LGz3iznB0NPAa0ruFzecDnhEQtM+KsS0SkqdgT+DdhCkMB0UaP5ednA9Cq1boo5XjkYYTh9tejm2qSxhTMiVRtK8IctTMIJ4SWtdxuLXAKMKm2FZnRE7gE+G2knucI6fZnxdLg+tAYgrkSZvQj/J8eT0hf/TBhLb75MRTTnDDEdqtaft6B9YThmP8HMdUlItJU9CdkJU70kPg84E7gygSXK9JgaM6cSEXbEeanzSfMjcum9oEchBPR9YQAsFpm9DXjX8DXhGGV/wF2cueYxhDINTbufOLOycD2wIPAb4AvzHjCjF1rWcxvgQ4xVGuEfehgwvDbfwJbxrC9iEhTcDU1j3aIR2vCzdJklC3SIKhnTiTYFfgzcBDQLPKIVx5wFPDfqt40YwBh2N8oQq/NfcBt7iyqQ53JYITfyw5ECWgvuog/ANxxB9HmLmwkBMYzaWDDXMzoSugt+x0hCH+J0CM6LcombQjzMNrXodoNhF7Bm4FbCfuKiEhT1gxYTbjxlQyrCaNsnklS+SL1SsGcNHV7A38B9iJkKExUFsIPCOviAKUJOYYRgriDCNkW7wL+5s6PCaozkY4kzC1rSwg+quzFz88PJ99Wrahu7oIRgtaLCHPNGhQzOhLmKV4IbEHITnoD8GqluYrXERawrW7eJKtWraJDhxo77/IJgd044AE0SV9Emq4tgYXENgomFoWErMM3J6l8kXqlYE6aqj0IwcqOhIvzGodFxigfGG7GTOAwQhbMwcBy4A7g76la6DsOhxLuYCb6Lmk+cBZhgnuDY0ZrwjDKSwgT8D8iLED+rDtbAN9QTSA3ffp0HnzwQT766CN69uzJXXfdRdeuXWuqNo+QaXMsIUOmDsgi0tT0AD4jeUMhHbiGcENOJO1ozpw0RYcSel8GEE4etQrkVq5cyXPPPccXX3xR+lq0myHutFy0iPsJC0m/AHQh9P70duevDTiQgzD8LxnDXVoBt5D4wDkh3Mlz52/AtoS14loT5jF+Nns2z7hH77V99913Ofvss3n33XcZPXo0K1eu5KSTTuKHH36oqdrWhAuZfxMWHN88IV9GREREmgQFc9LUbEvodapVb5y7U1RUxM0330zXrl0ZN24cQ4YM4brrrmPjxo2YVV2EGRlbbMEuu+1GNiG75fbu3OMedThiQ9Ed6J3E8tsB/ZJYfp1FFiD/F2GJiWN32YWCvn3Zx4ysaNs8/PDDtGnThscee4w//OEPnHvuuXz44YcsW7YMgEmTakxu2pow1PdtwtBWERGJ0ffff8+1115LYaFGrkvToWBOmpox1GK/L+lxMzN+/vlnHnjgAa6//npyc3M544wzeOihh7jiiiuqLaNlS4pnz+Yjdx5zpyARjU+B3oS5XMlSCGyTxPITxp0id575+GMWtmxJUXWfHT9+PI8//ji77747APn5+bRo0YLi4mJeeuklRo0aRefOnbnnnnuqK6YF4WbD1Qn7EiIiTcjSpUu59tpr+fTTT+u7KSIpU5eMfSKN0e4QvYcF4KuvvqJnz55kZYWPvfnmm6xcuZLBgwfTtWtX/vznP7PZZptx5ZVXcthhhzF8+PAqy8nIIAM4HOgFLEjkl0iian83CWApqCORhpgxzKz6xDjZ2dn07NkTM+PLL7/kqaeeok2bNuy+++5ccMEFHHnkkfTp04c///nP3HTTTYwfP56jjz66qqKygF8Dlybjy4iINGannXZate//9NNPmBnnnnsujzzyCNttt12KWiZSf9QzJ03NVzV94I9//CP33Xdf6fPevXvz008/seWWYXmw7OxszjnnHPbYYw9uuOGG0qF0UWQQsmhJ42PA3USZP+jum8yZ/OSTT/jtb3/L22+/zV133cXEiRNZvnw5559/PrfccgvTp0/nmGOO4dJLL2XGjBnR6q02W6aISFO1cOHCah9r165l2LBhtGzZkrPOOqu+myuSEuqZk6bmXcJ6M1XOS1qyZAlz5syhsLCQ8847DzOjQ4cOdOjQgZdffpntt9+eoqIiOnbsyOWXX85xxx3HrFmzOPzww6PV1wI4CbiSkMkybRQUFDB9+nS6d+9O797JnGZXb44E+hBlbmXJfMm5c+fy9NNP88YbbzBnzhy23nprHnjgAQ477DD69+/Psccey9577w1Ar169uOWWW7j00kury3Q5L/FfRUSk8XvzzTfruwkiDY565qSpeRGqnr+Wn5/PFVdcwfz585k9ezbPPfccAK1atWLo0KE8+OCDAGRmhhF3I0aMYIcddmDixIlA9MyWhL+ztBo2N3/+fPr168ewYcNKT66PPfYYvXv33uTRq1ev+m1sfDKB8YSFwqv02muvcfzxxzN48GAefvhhdthhB1544QU++OADjjvuOB588EHmzZvHzJkz2WWXXXj00UdDwZmZ1QVya4FHEv1lREREJD2pZ06amo2ERcKvo9KaNiWLPd966628+OKLPP7444wePZqtttqKfffdlxtvvJGJEycycuRIioqKaNWqFaNGjeIf//gHQNTMloR5UOcCf4YGvSRBrZ133nl069aNyZMn06dPHwD23ntvWrZsybBhwxg+fDgrV65k7ty5pb+fRmYksFm0N19//XVGjhzJAQccwEsvvcSQIUNo2TKsd1tUFHKl9OrVi3vuuYett96ad999l8suu4xtttmmtJcuinwa4MLqIiINSV5eHq+88gqff/45y5cvp7i4mM6dO9OnTx8OO+ww2rZVUmBpQkrmfeihRxN6tHb3NV6FgoICd3e/7rrrfOedd/YXX3zR3d1nz57te++9t++2227u7l5cXOzu7o8//rj37t3bZ8+eXVVx5a119zMawHev6fErd19V05dp27atv/rqq5u8/uKLL3r37t1Ln3/wwQduZuU/8ou7/7oBfM+aHo9G++6FhYV+/fXXu5n5ySef7N9++23pfuPu/vPPP/uSJUsqbPPpp596y5Yt/YEHHnD3sv2nkjXufkID+O566KGHHql89PBwjqzRunXr/Oyzz/bs7GzPyMjw7Oxs79q1q3fr1s1btWrlGRkZnpWV5aeffrrn5+eXbFbs7lc1gO+phx5JeWiYpTRFecAdsOmabyVDKI844gi22GILHn/8cQB23313zjzzTObNm8cdd9xR+vn169ezevVqWrWqMWdFyTpiaaFTp05MnTp1k9cXL17M2rVr66FFCbdHtDcyMzO54ooryM3NZc6cOfTr148//elPfPPNNwA8+uijXHrppRQXF1NcXAzAd999R4cOHVizZg0QtRd3MWGRchERqcLYsWOZNGkSd9xxB9988w35+fksXbqUJUuWkJeXx8KFC7n77rt5+eWXOe+88+q7uSIpoWGW0lTdCfy+8oslF9m77ror++yzD88//zxvvfUWw4cP5+ijj+bbb7/lmmuuYcmSJZx00klMmzaN3Xbbja233ro2dTaK9dVq46qrruKMM85g6tSpDBw4kOzsbL744gsmT57MmDFj6rt5ibCAsGh4VPvttx//+9//eOKJJ7j44ou56667WLZsGZMmTaJZs2ZkZIR7ZStXrmTy5Mn8/PPPpcsRuHvlgC4POA8oTsaXERFJB08//TQPPvggo0aNqvL97t27c8YZZ7D55ptz6qmnls51F0ln6pmTpmrlunU8VFhIYeU33EMikyOOOIL27dvz2GNhClP79u3505/+xLnnnsvkyZM57LDDeOWVV7j00ktp2bJl6XZRrAf+m4TvkWib9FZWZcyYMbzxxhu0adOGZ555hgkTJvD5559z9dVXc/fdd5d+rl27duTk5JTf1GtbRz17lBBg1eiEE05g2bJlPPLII2RnZ3PAAQewcuVKvvvuOwAeeeQRnn32Wc477zy23nprioqKKgRyxcV4QQFzAaVpExGpRnZ2Nt9//32Nn/v+++/Jzq5yVRmRtGM1XICKpB0zNgfGduvGhfPn06G64/0ll1zCG2+8wQMPPMCAAQNKX//hhx9YsGABgwYNqm21a4EdCUPpGrJOwHckb2HvdcAuwNdJKj9RDLgPOIEY132bOXMmo0aNonPnzrRr14533nmH0aNHc99999GmTZtNeuXy82HoUPI+/pi7gDvdqflKRUQkffQAPqNSUrKq3HTTTVxzzTUcc8wxHHTQQfTt25f27duTkZHBqlWr+Oqrr3jttdd44oknuPrqq7nyyish3ES8hpD4TCTtKJiTJsOMrQhDK88inDSeX7SIZj16cBDQvPxnSy643377bS677DJ23HFH/vWvf8VT7UZCr9z+wKy6fYOUmQHsmaSy5xPWbmsMMggXAJcS9o9aD0tftWoV1113HZmZmQwePJiDDz6Y1q1bU1xcXDr8MqJg+XLe6tKFn4FjCctmPAjc4s63ifsqIiINVq2DOYB///vf/P3vf2f69Oml85IhTJMwM/bcc0/OOeccTj311JK3FMxJWlMwJ2nPjD7AZcCphAv0J4C/uvMJsC3wCdCyqm3dnTPPPJPs7GxuueWW0vTztbCRMP/pWeByYEndvkVKDQTeopo11uKUDxweKbsx6QXcBowg9FjWenh6FcFbZeuAvsCiKPvpTe58Gl+zRUQahR7A58Q4CuLHH3/kq6++4ocffihdmmDbbbelS5culT+qYE7SmoI5SVtm7AqMo+Yej4nAEYSFokuV9M7l5eXRunWtbhhC6IVz4GHgBsKQxcZoACHj5yBgA+E7bWLNmnAntW3baueXtQQ+JvRwvZ3YZqbUHsBdQH9qeQe5BuuBe4GLyr9oRnfgYuBswsXN88CN7nyQgDpFRBqaLQjnylrfLY3RRuAKwk05kbSjYE7Sjhn7EIK4Q4E1wD1UPxdpF+ADoC6zpfMJAc8E4HbgxzqU1ZB0AHoT5XdzyCHcBfDKK5wfZfsNhMyQPyWjcfXkIOBuoAt1671cC/QEfq7qzZK5ncAFQEdCgpQbgf+6Vx1ci4g0QhmE42C7JJW/mjD/+eUklS9SrxTMSVoww4BDCEHcvsAKwvIDd7uzqhZFvAnkEBJfxGItUAj8lRA0ro5x+0bNjFwAd3LqtyUplwGcSOi9zCb2nro84E/ArTV90Iy2hHmevwe6AjMJvb7Pu2spAxFJCw8Qhphn1vTBOOQTbohtTELZIvVOSxNIo2ZGphm/BmYT7rr1Ai4Etnbn+loGcgB/JBzwa2st8ANhPlxX4CaaWCDXxBUDjxHmelxL2B/Wx7B9PqEXt0burHHnNkIP6dmEi5LngE/MONWsYvIeEZFG6FrCCI6iBJe7DjgfBXKSxhTMSaNkRgszziBkwPoPoXfkdGA7d8a7xxSYAbwPfAibrjtXyVpgIXAOsBWhNy6Wi3hJL+uBWwjDJe8lXDgU1LBNHuGGw4ZYKnJngzv/JCRMOSFSz0PAfDPON6vTMGERkfq0CNgLeIVwXF0N/FLlY82aQtasKYz6fnisJ1wfnArElYpapLHQMEtpVMxoTdmQs60IPXI3AJPc63xHr2QIW2cqDvVwQk/KAsIk6smg4W3QpIdZRtOTENwdQdWZL/OBN4CjiZJUprYiQ4sPJeyTQwnzNO8A7nHnl7qULSJSj1oRlrCpevj6IYfcBcArr0Sbq11AWNN1WRLaJtLgKJiTRsGMzQhDJS4ANgdyCckgXk9wMoiehLH7+xIutpuVq+st6ngBnm4UzEXVn5AIZx/CHeIMwlp1zwJjqLkHuNYiQd2+hPmihxDuaJck/VmeqHpERBoEs1wA3HPqtR0iDYSCOWnQzOhKSNN+DiFz4IuENO3vJ7nqjkALwrw4/ZFEoWCuRl2BXYFOhCQ7SV1v0Iw9gD8AxxCGcT5AWI5jYTLrFRFJGQVzIhUomJMGyYxtCQsojyH0jj1JWED5f/XZLqlIwVzDZMYOhL+fUwgZWh8H/urOvHptmIhIXSmYE6lAwZwAMHYKHYAhwEBgGGE+WgtCBqglwFTCfLL3J4yodYbImJnRn9CzcBxhKNq/CD0LXyerTqm9yvvJ6uUMycgko80WLCCF+4nUjhk9CD3bZxHmoUwk9Gx/mMx6G8rxRETSgFnl48kQwtD1BVQ6nuCu44k0OQrmmrixUxhISCZyNGFYViuoMtV5ASF5QxYwCbhtwghmJqodZgwlzPk5nJAx8u/AHe6awNwQNJT9ROJjxhaE+aZjCQvB/5eQOOitRM451X4iIgljFvfxBHcdT6TJUDDXRI2dQnfCOll7Eg6AsSzUWUQ4sM4ATpkwgsXxtCGSuOEgQhA3jLDGzN+Au9z5OZ4yJbEawn4iiWNGO8JadRcDXQj/NzcCL9RlAXLtJyKSMGYJO57gruOJpD0Fc03M2CkYYR7aBMKwp7osOFxAGDY1Fnhowoja3eE3IxMYSQji9iAMk7gVuM+dvDq0RxKkIewnkjxmtCT8/15GWIx8HmHh+yfda1wnr5T2ExFJGLOkHU/Qxa6kMQVzTUjkwut24Eyird8SnzzgPuDi6i7AzGgBnAxcDmwPfEW4gHzMnY0JbI/UQX3vJ5I6ZjQDfk24sdKPMAflFuBf7qyrblvtJyKSMCGQS+rxRAGdpKvKC9pKmkrihReR8s6MlL8JM1qbcSHwNSFVej7hAnJHdx5UINdw1Od+IqnnTqE7jxOWTzgS+B64G/jWjMsjwzI3of1ERBImeYEc6HgiTYCCuaZjDMk5UJZoDZw5dgqnlbxgRkczriTc7b8T+AYYAezhztPuFCWpLRK/MaR4P5H6506xOy8CQ4HhwMeEXvNFZlxvxpaVNhmD9hMRSYwxpOB4gpmOJ5KWNMyyCYgkJ/ic5B0oy1s7ZyL7vnsfJwDnAm2Blwjp0KeloH6JU6r3E6DvhBHJXURb4mfGAMLwy1HAeuB+4NbzX6YY7Scikggh2UlKjye463giaUU9c03DY4TJxElXXESrTtsxC7iEEMTt5s7hCuQahZTtJ4QMZY+lqC6Jgzuz3DkG2An4D+HmzNc/LeBDd7JS1AztJyLpTecdkTpSMJfmxk5hT0J637pkhaq1jEwyuvSl+MBLGe3OCe58nIp6pW5SvZ9E6hkUWZdMGjB3PnfnNGDb3kN4tl0XukQSp6SC9hORdGVWL+edyPp1ImkjVSdkqT8XQ+3voi+em8ukPwwHoEXr9nTefhCDTryGrjvvXesKM5tjOwzn14TFO6VxiGk/Wb18AY+c1nuT1/c88Rr2OvlPtS0mK1LvibXdQOqPO4vGTsEjc11rte5T+eNJeR2678DJ//y8tlVrPxFJTzGdd3IJE3oB2gODgGuA2l+dADqeSBpSMJfGxk6hA3A0sS24CcCpDy9i3aofmP30X5k4bjjH3D6dLbfbo7abZwIjx06hw4QRrIq1bkmtuuwno297j8167Fj6PLNFy1g2137SiJTsJ5F1ImMy5pHFNG9ZNiXGMmIqQvuJSLoxi/u8swj4AfgrIbibTliwtpbCOrdmHXDX8UTSgoZZprchwIZ4Nsxq05Et+wzg4HH/YbOeO/PRs7fEWsQGYHA8dUvKxb2ftMhuS1abDqWPZrEFc6D9pDGJfz9p3b7CftKiVdtYi9B+IpJe4j6edAQGECby7kxYGDNGOp5IWlEwl94GUscMUWZG772O4Pt578W6aatI/dLw1Xk/qQPtJ42H9hMRSZS6X58ARwAxX53oeCJpRsMs09swEvB/3HqL7uSvWh7rZs2BHOAvda1fki7u/eSZ3w/FMsruCf36zg/psFWfWIrQftJ4xL2fPPSb7qX/7j34KA78/cOxFqH9RCS9JOT6pDsQ89WJjieSZhTMpbetElGImcW7abdE1C9JF/d+MuKPz9Bhq+1Ln7fePK6itJ80DnHvJ8fc9h7NsloBVJg7FyPtJyLpIzHXJ/FvquOJpA0Fc+ktIWu35P20lFabdY1n01StRSV1E/d+0nqzbrTr3Kuu9Ws/aRzi3k/adOpJi+w2da1f+4lI+kjI9clSIK6rEx1PJI1ozlx625iIQhZ8+BJb7TIsnk3jmvFPj8EAACAASURBVNwsKZeQ/aQOtJ80DtpPRCRREnI8eYkwXjMOOp5I2lAwl96WxLvhhrU/8+PXH/HazSfx83efMeDX4+IpZmm89UtKxb2fbFy3hg1rV5U+Nq5bG08x2k8ah7j3kwTRfiKSPuI+nvwMfAScBHwGxHV1ouOJpBENs0xvU4H9CJN9Y/LwqT3JatOBbv2Gccxt79Ox+w6xFlFAWONTGr6495Nnfz+0wvNO2w3guPEzYylC+0njEfd+kgDaT0TSS9zHk55AB0KP3PtAzFcnOp5ImlEwl95mAvlA+9pu0L1/Due/7ImoOz9SvzR8Me8n7Tr30n7S9Oh4IiKJEvPxJAdIyNFExxNJMxpmmd7ep/4m+WYB0+upbomN9hOpDe0nIpIo7xdj2fVUt44nklYUzKWxCSNYBUwCilJcdREwMVK/NHDaT6Q2tJ+ISF2ZYWYcaPhz/+HXLQrr5zLUgdMxq3OKXZGGQMFc+ruN1Gdt2hCpVxoP7SdSG9pPRCRmZmSYMQqYAbwG9H2Zw+7MpDg/xU3ZAHxKOKYsxP6fvTMPr6LI/vd7QggkAWQRkEVFNkVFAQUBEcQdcWPcxh38iYqKOI4Lin511FEZR8cBRlwRFUSZcUEFREVxHxXEZdwFRcF9YUtYsnx+f1QnJDc3ye2be5N7Sb3PUw+kb3fV6erq6jp1Tp2yazBrWcsyeDwJxStzWzmTh7EY13kW1FKRBcDbk4expJbK8yQA3048seDbicfjCYMZDc04A6dAPQa0AM4GdnpIp/3Jar8/eROpLzAQeB24FvgGs79j5jcS96QlXpmrH5xG7e0RtQk4tZbK8iQW3048seDbicfjqRIzcsy4APgSmI7rM04CdpG4Ryq18NdNfyK9iXQUsAfOffxPwFeY3YVZl1qSx+NJCF6ZqwdMHsZKYCyQl+Si8oALJw+r8/2oPHHg24knFnw78Xg8lWFGczOuBL4GJgPfAkcAvSQekSgsd4FUq/0JUvn+RPoQ6VSgGzANOAP4HLNZmO2RZJk8noTglbn6w3TgHpLXYeYB90wexv1Jyt9TO0zHtxNP9UzHtxOPxxNgRlszbgJWAH8FlgCDJQZJzJWq3FVgOrXQnyBV3p9Iy5HGADvh1tMdAbyP2TOY7ZskuTyehOCVuXrC5GEIuHhzPjMKNiZqqxaHRD6uI744kfl6ap+SdkJyPqx5+HayVeDbicfjATCjkxlTcJa4y4EFQB+JYRKvxpSJlDr9ifQ90mW4vcn/D+gPvIbZy5gdhpklWD6Pp8aYe4c89QEzDOPfPQ7imKHj2JyRQSbQMN78JAoLNpL57n94452H8TNXWxFj52PASBUzpbiYnAaZ8eclUWjGRpzLnLe0bEWUthMxpbjItxOPp75gxq7AeOBkoBh4EPibxOc1yNSAkcAk3F5wcY9PcMFONuFcK+PvT8xygbOAS4COwFLgJuBxpNrepsXjiYpX5uoRQUSp6cD4C+YxE3gI6IfrNBuEyKoI10m+/cgFLPllOX8G/ijxaIJF9tQxLXfg8f0v4Oj2u7PJjCxCtBOJosJNNFi9kt9ad2UPv/Zp66VVJx4ach6ntN+NjZYRVzvJ+O1b1rbakd2mHu3biceTqpjRF7gSOAbIB+4GbpVYmcBCOpKA8QlwaoU1cvHLlIULnnI50B34HJgIzECqrQAuHk9UvDJXTzCjM/A+8C5wgOQ2/h07n71x7gcjcB1gDtFnwwpwHXcj4AngtsnDWGxGJvAasDPQM6EduqdOMWMP4D1g4gXzeIw42slzf+OXzxcxFhgi8UrtSO6pTczoCnwC3HXBPKYTRztZ+A9WfPI844HhEvNqRXCPxxMTZhgwFKfEHQisxgU3mSTxSxILjnt8grQ4STI1AP4AXAH0BlYCfwfuRUp2EBePJypemUsvmgEHAR1witliXAdWJYHCtQjoCewhsSLynLHzaY7zDd8b2H/tDwzIyCSjybZ8BXwXXL8Y+O/kYayOyL8rbtD/FnCwRHG8N+hJGoZ7/o1x0cW+r/YC42lgP2Anid+hYjsB2uM+oJuI0k7MyMGFpv4KGFTNIvhuQC9gO2AhTkHwHVSKY8bDuFn6zhI/QFztJAv3vNfh1tv4PsTjqWPMyACOwiku/YAfgNuAOyXW1aIg5fqTr+g0oCEFGR1ZVWF8grS68owSKpMBh+AU3MHAr8A/gSlIv9eKDB5PgFfm0ofDcBtuFgJZuEFRA5yZ/1ZgQ2UXmjEBuAE4VWJmLIWZsQhAYv8Yz/9/wL3AnyVui+UaT62xD/AosC2u/TTGzSbeCMyE0v1+SjFjX5zFdYLEjTUp3IxzganAkRLPRDllMK4N74abYW2IU+LeAI4ENtakfE/yMGNP3ETOzRJX1DCvU4AZwEkSjyRCPo9nK2Q74ACgFW5/ttlAQpUHMxoCf8StidsVNxn3N2C6VPf9cdjxSdJx0S6vAIYD63Hfu38gVTtp6vEkAq/MpQeH4lwHsqP8lo9T5P6EG5iXm9EO/NvfAP4DnFyNZaTsdYsglDJnwOPA4UBfiQ9iuc6TdHbHPf+mUX5bj1Pu/ob7+KyG0me5COc620WqWXSxYGDwCS6qWO8yVpfeuJnMvXDuM5FswM227g/eUpOKmPEMsC/OKlejAWVgBXgP18/tKlGQABE9nq2BRjgL2TicdWozbtKrGOd1MRa4r6aFmJENjAIuBToB/8MF+5hdYX+4OiTllLkSzPbEKcAn4CYm7wduQVqe5JLb4yY9f8d7s9RL/NYEqU8uTkmLpsiBGwS3Au4APsb5tQNgRi5upvsH4LxYFbl4CPIeDfwGzDSjcQyXNcZZHK8CTsLNOHoSRwbwb6BJJb83AZrj6n8VLoJYR9zkwWDghpoqcgDBoPz/gD1ws73dgaeB13GKQDRFDlyb74OLJOZJMQLr7XBcBLsaWwYCJX8C0BU3oPR46ju7AVOAn3HK2r44xa4p7vuZg+snJ1Pm2x8WM5qZcTnOAvcv3JjhKGBPiYdTSZFLaaT3kU7CTYQ+AJyJ24B8Bma7J6HE/XHjvmW4pRN5uKiiPZJQlieF8cpc6nM5lStyZWmC60CeAV4AdsEtyu0GnJ6IwVZ1BAuhR+GsQVW55hlwLu4D9ShwDXAXLjrU0UkWsz4xHKecVbcvTk6Qzpb4Yu5cZvXpwypclLJE8chOO/HJv//NnRLv4ZT4bKrvg3KBm6lc4fMkhrY4K+lK3JrK+cCxVBJFLrDe3gT8iJsESBTPAG8C1wRWgmhk4AIivAj8hLMwP4mbLPB40p2muInRj4B3gHOCY9G8K0rIxg3iQ43pzGhjxl+Bb3D97Ps4pXCgxNN+7WqcSF8inYPbgPx23JriDzF7CrP+CSplP2AuTnFrjFt+k42bGH8XeBZnxfXUA7ybZWrTDjfjEosyV5aioiKKpk8na+JE7vj8c84PW3BN3BjMmAxcgAuG8kLEz+2AR3CudblRLs/HKYSzw5brqcBSXECRUBS6OdjNmZm8hVO0F1Ez141tgWuKiji7sJCsRo1CX5+HW/N5cw1k8FROR5wC1ZbykeLWA78AFwFPUaYNmDEMmAdcIPGvRApjxhBcm7tU4u9lfwKG4ZTO7ahocV6PC0jwZiLl8XhqAQMG4r6bR+PC61fmUVEZ64DjgOeqLczYAbdv2lk4ReBx4CaJJSHLrBNS1s2yMsxa4Z7thUBLXP92E/A88Q3Cm+AU8BZVnFOMc718Hxek5WW8C+ZWi1fmUpuHcL7XWfFcvGkTyspigxk3UU2QlEhqqMzl4NY6bYPbruC34KcRuH3usql6M9A83Cx7sv3Mt2YG4Cy0NbFoCadcf4tT6h6HUO42TYHLcKGlMyAm19vKWA9sD9ROpLL6QyZuXUyX4P/RWA98jRuIvBSsbVuMc9HdRSLheyyZ8SzQF7cWbw0wCOdK1o3ok0AlrAU64yLLeTypTlvcJtkX4N6nHOL3mBJuguWIyk4wYxect8+pwaEZwESJT+Mss05IO2WuBLMmwNnAn3Hr3JbglLonkMJYQa/EuaTH8n0v+Y5/FVzzDH4N+laHV+ZSl564UP9hrXLRyMPN0PwJ9yKfgrN+7UQlSlV+vis3J6dSBbAAZzW8H/dBWFv2RzP6AP8F5vz6K2e2bMmdOFeDWDqfIpyLyV6EUx48W1gAHEz1Lpaxsg7XjsZRvdW0EXA+TgHMJDEukhtw7nzjE5CXZwtn40KNV6UglZAHvD9uHE9PmsRNOPfth5IhVNB/LDn6aO5+8kl2xil22VTfnjfh+qQxyZDL40kAGTg383HAENzAOhHfeXDtvyOU3/vNjL1w0Rb/gBsL3IPb6PubBJWbKBoCx+PWmvXCfUsqEMP4pAi37m8mrj9Irf1vzRoBp+EU667Ap7jI5DORqgv8lI1bH7dNHCWvx9XFSbhgU56tBK/MpS6v4BY7J3JdYx5bImDVxEpSlnycuX8gEeGRzbi8f39uXriQ1Tk5NA5ZZh7OmnhNguSsT3RnS1TARJOPW5A/nuguG71wEwbNiU1BqMCKFSto164dmZmZZGSUa/75OKvLj/Hk66lANu7D3jLWCyS0cSO89RZ5vXvTf5tt+ChJsnV7/XUW9e5N++xsigNrYKxswK0jqbCfpsdTx/TFbTHUnKrXwMVLPi6g1T+Cda1DcFacg4E1uL77nxI/J6HsmtIQt/Z1CHF+O6KwCVcn++IiKqcWbgPy43CK9p44L5hbgPuQKttD+Hyc4leTOvIu6VsZPgBKanIILopfop9PLs5lM1GKHDirS2cqhkVuWFjINi+9RHFODs3jKDMXFx65XwJkrG9MoGo31pqQg/uYnB7lt91wfvkdiOND8+KLL9KtWzdOPPFE9t57byZMmBB5SgPgurD5eirlAiqZ+a4MMyw7Gxs8mJxttuEd4GFgxwTK1AEXBe6DAQNom5NTumVBGDJxgx2PJ5U4CrdWantCKnI//fQTM2bM4N133y09VslEfI7EuMxMjsJtSfMSbsnCeGAHiatSVJEDt4ZvKIlT5MD1b81xwUAS5aWSOKQipEdx2/QMx01ATQK+xmxCsFl6WRriJrij1lEI40wTYA5eB9hq8A8y9WiA2/Mr5g4tBayrWbjABCWWoG7A0gYNGNe4cY3aWDZunVbYheD1mba4dZaVrX8qpQbtJhfnshvJfdRgtjkzM5PevXtzzDHHcOihhzJt2jSmTp1a9pRGOCWyU7xleEppBlxNnAOnjAwycO/ncbgZ76lAmxrI0woX2OQL3PYVjTMyokfSjIGGuIGzD8/tSRUygXsJ6XIuiVtuuYVOnTpx/fXXc9hhh3HZZZcBYBZdN9mwge332os5uCBB5wM7SUyUyi+FSEFGkxxvEsP1L3smIe/EIAlpHtJ+uG2BFuOCfn2D2c2YtQ3O/CNV1JGZkZ+fz/z583n66aerK7UxzmLp2RpwbcinFEpnSlqvSti4caM+//xzrVq1SitXriw9XlRUpOLi4souqw1WSxoo6WxJeZIKE5RvvqQHVPfPJV3SzZI2RKvI4uJirVy5Uh988EEi2sqaiHK3kbQp3sxK5Pnll19Kj40dO1bDhg2LPHWzpEdVN3W7NaW/yr1b5diwIWrTiYWNcu/9dZIah5CjoaQr5fq8uAuPQqGkeSHk8MmnZKbBktYqBvLzt7yW33//vTp37qyJEyfq119/1TXXXKO2bdvq5ptvrvT6wkIVf/ihXgM1TIH7jjU1k+vbk8UGSWNT4D5jT9Bb8KigWLBRDRr8S5s3bxn0ReGFF17QfvvtpzZt2mi77bZT9+7d9fbbb1d2+mpJR9T5ffqUkOQtc6lFE9zecFFny19//XVGjBjBzjvvzJ577skpp5zCpZdeytdff01GRgZmRnFxnQUpMpw//m242cdqZ9VLGuHjjz/OAw88wAsvvEB+fgU38ZLZ/yMTLfBWSBOc61wFl9avvvqKM844g7333ptjjz2WNm3acOqpp/Kf//yHFStWxNNufopyrFo3lu+//5558+Zx++23s2DBAj788EMKCgpKZ5lbtWoFwOLFi5kzZw477bQTUM6K2BDXFnYNK7CnlNa47QYqzPCeffbZ3HrrrfHk2Qj33v8ZF7gpFgttI1zE1Qm4Pi8u9+///e9/5OXllW0j4PqfIfh9ljypgVFNBMGZM2ey3377ceyxxzJz5kzy8/NZsmQJeXl59O/fn5YtW3LFFVdw1llncfPNN/PWW29FzadBA2z33ekjxRcFu45ohguqliyyiC9gSN0hLUU6Ebd/8EMceeTZbNzYobLTly9fzumnn06LFi247777ePfdd2ndujWzZs2q7JIG+HXFWw3VumJ5apXLqWINy1lnnUX37t158sknWblyJXPnzuXBBx/k4YcfZuzYsZx//vk0bZqMNdUx0RQXgTOmNvXDDz/w8MMPM3nyZNatW0dGRga5ubnsuuuuzJ07N/L0HGAaLkrXpoRKvXVxVmU/nH/++eTn53PxxRfTtm1bli9fzlNPPcXDDz9M3759ueSSSzj++ONjLacQt/ajLGtwi6qr2veGmTNnctlll9GrVy+WL19OUVERbdu25aijjmLw4ME0aNCATz75hKeffpri4mLOOOMMoIJLURZu0uCwWAX2lOMvRJlseffdd5kxYwbnnHNOTfLOwQXgmYfb1LYq7scpW6Fcz9auXcurr77KY489xoIFC2jYsCE5OTkcffTR3HTTTWVPzcatPxkYJn+PJwn8TBXfxieeeILx48czYsQIVq5cyfnnn893333HsGHDWLNmDS1buhhFjRo14tJLL2XKlCk8+OCD9OjRg2bNmkXLsggXFXJ6Eu4lGRjJ3QPNSMU1c7EgfQGczebNQ8jK6hbtlLy8PK688koyMzO55ZZb6N69OwC77LILS5Ys4ffff6dFiwqf5k3Ax0mV3VN71LVp0KfS1E5R3J5K+Pjjj9WmTRs9/PDDpcfWrl2rqVOnqnHjxmratKmGDRumN954Q5Jzu4yXzZs365VXXtHy5cvjzqMyioqKtHDhQg0YMEBmpjPPPFNvvPGGPvvsM73zzjtq06aNHnjggWiXrpF0qOr+OaVqaijp52gV9+uvv6pjx4567LHHyj2HjRs36vnnn9chhxwiM9Nxxx2n77//PloWkeRL2iOKDFNVjavlqlWrZGa6//77tXHjRr344ou69NJLtcceeyg3N1cNGzZUdna29t57by1dulTr1q3T+eefr9tuuy0yqzxJ/RJch/UhtVUl7oyDBg3Scccdp/XrnZf3+vXr9eWXX+rpp5/WBx98EO2SqsiX1LkKOXLlXDNjpqCgQAsWLNBBBx0kM1PXrl11zTXXaPr06br66qvVrl07TZkyJfKy9ZIGVSGHTz7VRjJV0j8XFxfrnHPOUa9evSRJq1ev1rnnnqvc3Fy99tpratKkiZ588klJ7tssSRdccIHat2+vd955J1qWJbyfAvcda9peVSwvKUuc45NiSVenwH3Gmw6QtK6ym5s9e7bMTA8++KC72eJiFRYWasyYMerdu3e0S/IkXZEC9+VTglKdC+BTaXpIVQyECwsLNXjwYB155JFavXp1ud/Gjx+vI444Qv3799dhhx1W4fcwfPHFF+revbvMTPfee68k6aGHHlKnTp0qpB133DF0/rNnz1bbtm3VqVMnvfLKK+V+++mnn7TLLrvo1ltvjXZpkaR/qu6fU6qmUxSlsy8uLlZeXp6GDh2qY489tnRNVGFhYek6tfz8fE2bNk277rqrRo0aVW7NRhSKJb1WiQzbq4oJiRJGjRqlvfbaq0I5X3zxhZYuXaply5apqKhIkyZNUufOndWiRQtlZWVpzZo1kXK8mYR63NrTRYqizL322mvKyMjQ0qVLS4+de+65at26tZo1a6amTZtq+PDh+vjjjyMvrYy1kk6tQo595CZoYub6669Xbm6uOnfurEceeaTC7xdddJEOPfTQyMPFkmZXIYdPPtVWullRvvHFxcU68sgjdcYZZ2jTJvfzrFmz1Lx5c91www0aMmSITjjhBEkq/f3DDz+UmWnGjBmR2ZUlX9IuKXDfsaSYlLkajE/SXZn7b2V1kp+fr+HDh6tLly4VfuvcubPGjh3rKqD8Ovn1cusU6/q+fEpQqnMBfBKSeqqKQXCJle3RRx9V48aNtc8++2jhwoVat86N3S+88EJdfPHF+uKLL9ShQweddNJJcQe4OOSQQ7T//vvr888/Lz22fPly7bLLLjrnnHP0yCOP6I477tC5554rMwuV99y5c5Wdna1jjjmmnFJRErxl9uzZateunV566aVol2+WdJXq/lmlYjJJX1ZV95MmTVKTJk30l7/8pdzxwkIXp6agoED33nuvGjZsqKeeeqqqrNbJzRJWJssUVWNx+f3335WVlaWZM2eWHisoKJDk2vrdd9+tnXfeWX379tVNN92kefPmqVevXjrzzDMjs1ov6cAqZPGpYqqoBUk64IADlJubq5kzZ6qoqEivv/66GjdurH/961965JFHdNVVV2nXXXdVp06dNG/evGhZRLJaVVvEWisGy1xxcbHWrl2r0aNHq1GjRrr66qvL/V7SfpctW6auXbvq4osvLr2uDF/GWDc++ZTM1FmVWMVPPPFEHXzwwfruu+8kSa+++qqaN2+ue+65RxdddJGys7O1caN7XUradpcuXfSnP/0pWnYlbJL0jxS471hSTMpcDcYn6azM9ZOzpEXlww8/VG5urqZOnSpJpe1kwYIFMjPNmTMn8pINchMLdX1fPiUw1bkAPglJL8lZnqpl0aJFGjhwoDIyMrTXXntpv/32k5npiSeekCRNmzZN/fv319q1MQXOqkDTpk21YMGCCseffvppdezYsfTvt956K5Qyt2zZMvXs2VOnnnqqfv/9d0lbZhkl6ZVXXlH79u11xBFHlLp5RbBe0lDV/bNKxXSIqnDBKOH2229XTk6OunbtqunTp0c954ADDtBVV11VVTafySmPlcnSWlV8eEq48MIL1apVK61evVr5+flasWKFJOnll19W165d1aNHD911112l58+dO1dmVi6Ca8BH1cjjU/n0fLTn8dRTT2nw4MHq3LmzLr/8ct1www06/vjjSyddNmzYoOeee079+vXTAQccUJ31VnIDhm2qkeXH6jKRXJ/Xtm1b3XnnnaVuZps2bSod1P7+++8aM2aMtt9+ey1atChaFr/GWDc++ZTsFDW04I8//ljOxX3u3LnKysrSihUr9NJLLyk7O7ucq/mmTZt08skna+jQoZKqXFaxRkqLqJYxKXM1GJ+kszL3nKoYH06bNk25ubmlEwEl/eKgQYPUp08fffbZZ5GX5Mt9p+v6vnxKYKpzAXxSF1VhlZs6dapeeOGF0r8LCwv15ZdfatasWTruuON04oknatasWZKcuf3xxx/XtttuW/pih6Vz58668soro8rRvHnz0r/DKnPz589XTk6Onn/ejSXLzpxPnTpVWVlZOvTQQ0uV0IiZ9Q2SZqjun1WqptdjeATatGmTZs+erYMOOkgtWrRQ586dNWHCBC1ZskTvvPOO7rnnHjVt2lTPPvtsZVmslXRiDPLcoGrcLQsKCnTeeeepoKBAY8aM0dFHH60ffvhBkrR48WJdf/31at68eemx1atXa//999dpp50WmdU6SfvHWW/1MZVsHRKV6dOnq3fv3tpuu+203XbbVehH5syZo44dO2rx4sWVZSE5K/pDMchysaoZwBUXF+vyyy9Xv379SieByvYNzz77rHr06KFtttkmquul3CBuVgyy+ORTbaSTVcUWBSVK2bHHHquBAwdKkn7++WedffbZ6tixoz766KPS80aMGKGjjjqq1BJTCWskHZ4C911dikmZq8H4JF2VuR6q5ls6evRoDRkyRL/99lvpsfnz58vMNGXKlEhFf5OkO1PgvnxKcKpzAXyqunO/44471KNHD1155ZX68suKnnQl7mkXXXSR+vfvr44dO+qss86qLLtquf/++5WRkaF9991X48aN0/jx4zVixAg1bNhQo0ePLj0vrDJ39913a/fddy9V1jZs2KDPPvtMhx9+uMxMp59+uj799FNJUX27n5eUo7p/VqmYOqgS151nn31Wxx13XLl1UJILpjNp0iSdeOKJ6tChg8xMbdq00fbbb6/zzjsvWlYl/CgpMwaZminGPZVefvllmZkeffRRSVsGM+vXr9euu+6q6667rvTcd955R5MnT45sH0Vye6bV9XNIl7SNpGWqZk+nO++8U6NHj9aqVavKHX/jjTfUtGnTCm0qgnxJO8QgS7ac1axKxo8frz59+uinn37S6tWr9cMPP2ju3LkaNGiQzEwHHnhgOYtcRPtYJ2nPGGTxyafaSNmqxnPh008/VU5Oju6+++7SYz/++KM6dOigww8/XAsXLtSnn36qrl27llrrqlhWUaz0cKmLSZmrwfgkXZW5qZIKKquP4uJiXX311erSpUvpZNcnn3yi3XbbTYcddpi+/fbb8hds3lygu+/unQL35VOCU50L4JOuVBUv6//+9z81a9ZMrVu3Vr9+/XTjjTfq11+3jH+KiopKA1iceuqpeuKJJyqbqStWjBt5v/jiizr00EPVoUMH5ebmqkePHrr++utLXZwk12GUuHjEwi+//KImTZpo5MiRuvDCCzVq1ChlZ2dr55131uTJk/XNN99EkzdfbvY+Q3X/nFI1HSS3PqkC69ev1z777KOuXbtq1KhRmj9/frnff/zxR3366af67LPPNHv2bK1YsaLcM47MTuE2Xb1EMXycb7zxRvXt27fcZuGS9MADDygrK0sPPfRQdVlI0oIQcvkkbSfpC8VgFZOcwj1u3DiNGzdOvXr10sEHH1zVZRvlBiCxyjJa1bgIr169Wl26dFHnzp01ZMgQde7cWRkZGRowYIAmTZpUbv1MGTYH+fpIlj6lWrq7uLjyb/61116r7bffvty6csm5Xg4YMEA77rijcnNzNWjQoMraBjxLSQAAIABJREFUfiT3psA9V5faKwb3fCnu8Umh3Firru8zbPqkuvp47rnn1KlTJz388MOaNWuW9t9/f7Vv317Lli0rf2JBQbFmzZJgg2CyYMcUuD+fEpTqXACfNFRVRHX7+eefZWY699xzddppp6lnz54aOnSo7rvvvrDbD2xUjKF/42SjqnEHWLBggY466ij16dNHAwcO1JQpU7Rs2bJoCkSeXNCCnqr755Pq6RRVYQW78MILZWbq06ePdtttN40YMUIzZ86sSmmrjHVy4eRjlauxYrC63H///erQoUNp6PvFixdr4sSJ6tatm/bbb79Y3IULJU0OIZdPLmXJKdxrVU3wpbfeeksDBgxQt27ddMMNN5Sub6yEPEltQsiRKWlV1JzKsHTpUk2ZMkVjxozRddddpzfeeEMrV66M1gcWBvczQ05pret69smn0gRqesIJui0vTxVMaSVteeDAgbroooskuQm5pUuX6q677tKmTZu0fv16zZkzR6+/HpNnveTc6m6q6/uOIWWrikntBLBebuKoru8zbKo2NPnGjRs1fvx45ebmqlOnTjr66KNLl7NE9I/5uuWWwwT3CQqC9ICgRwrcp081TCYlc59GTww0BD4COgX/L8eyZcuYNWsWV111FWvWrOHxxx9nzpw5fPnll3Tp0oXRo0dzxBFHVFdGATAfOABokmD5S1gNfAbsRRWbo0oiLy+Pxo0bk5kZ9bQNwL3AZcDGZAi6ldEJ+ARoHO3HcePG8dVXXzFhwgSef/55Xn75Zb7//ns6dOjAMcccw0knnUTz5s2rK2MjcCtwVUjZzgL+QTVtbsCAAfz8888UFxeTnZ3NV199Rb9+/Zg8eTI9e/asrox84CDgzZCyeRzNgMuBi4AMKmlHAJs3byYrK6uqvDYAtwNXhpThRNw7X23fVFxcTEZGRtSfcJvgvgj8GdcXeTwpgRmtgAuBsUCLb75hw/bbkx153vLlyzn88MMZN24cLVq04L777uPll1+mVatWvPXWW+ywww5hi94I7Ax8U+ObSD5vA32TlPdGoDvwbZLyTxYx10leXh5ffPEFvXr1ivZzMfAcMAwAs+1x/eTZuD7/SeAmpHcSILOnDvDKXGqwHbAEaEmUwVTkAObbb79l9uzZzJ8/nx9//JG+ffty5plnMmjQoMry3wDsCvwJN8DOSbD8+cAUYDJOsahyUCYJMyt3X5s2obw8tHYtR3fqxDMJlm9rZy4wFCoODj766CMaNWpE165dAfj888+ZN28eL730EsuXL6dVq1YcdNBBjBw5ko4dO1aW/wZgR+DnkHJlAl8DHao6adWqVTz33HMsX76ctWvXcswxxzB06NBY8s8HrgH+HlIuT0VaA9dKjCospHHDhlgceawHOgJrQl6XAXwKdKvqpJJ+o+TfLcfJN+NdnEK6JGTZHk/SMKMDWwbNucAc4CaJvYC/BcdK2bBhA7m57lB2djbHHHMMl156aWUD9OrYAIwBHoj/DmqVE4FpJH58sgl4CxiS4Hxrg5OBewhZJ5F9JO5bOZjI/tGsNW6S4QKgOfACcCOwCK8cpBd1bRr0qTQ1l3SfnItQTGvbPvjgA1199dXadddddfLJJ1d22gZt2WumgaT/yLlChfazi8KmIK+Z2rKu7QTF6PtehvXff6/XWrRQEWia6v5ZpFtqJGm+qnCjjVwgv2rVKk2bNk2nnHKK2rVrV26xfQSb5dplvLKdoBi2TYhF5jLky7kHnlEDuXyKko46SqNmzpQKCrRZMfZDAeslXVaDsocppBt4YaHy339fOvdc3V2bdeSTT9UlUDfQPaDNoELQg6DdypzTXFECV+Xn5+v666+Pda1wNArkvr9LJfWv63qII10W1Eu1e5/EQKHcd2Kp0neDbJN0rcKPqcpSLBfxuvJyoJngUsEPAgn+Kzha4OMVpEnylrnUY1fgXzjTem60E6Tysy4vvvginTp1onPnztFOXwfsgHODBDCgJ24WbA+iWHMA3n6bvQD69at0pjsfeB94FOcmWrYh/Rs4gipctgIKcbNm5wIzzbgO58p3nMRj1VzrKU8G7pnejLPwRrWORrad1atXs3DhQoYPH07jxlEf10Zce/myBnJ9gnNxiYlIGcuwCSjCufJNBNbGKZMnCmZkAO8B2d99x4h27ZiIs/g2hmotdb8C2+OsAXEVD7wD9Ma1mapYD/wEjMvI4ByJQUBnid/jLNvjSQhm9ALGA8fjljfcB/xd4qsopz8GjKD6dysW1gX5zADuAD5MQJ51xQ64+tsX5wZegRjGJ5tx36x/A6/j3AzTmRE476emQQpDHm48tqjaM80aAyNxy1x2wo3tbgYeQSoMWa6nFvHKXOpy4ObN3Lt5M52aVOK0WMWgt4Q84Aqc+2MozNyLL7F/2GuBbXBrVtpQ+YcqLzjnWJwrHmY0BN4AOgM9Jb6Lo+z6TgZwOHAdToHKppLBcQztpxh4FhheQ5kOA/5DJZMTMVCAU/zvB64lvLunJwbMOAU3GDxJ4pHg8F7AP4FeVP788oFTcOsuasIeuLWPlbkUrQ/SJcAsoNiMPXAK6ESJK2pYvscTF2YMwn1rD8cpVncAt0v8UMVl+wNPE/869k24SdT3cGuT5wTHtnpqOD5JVxrgxkt/xS3NibXdfAjsSfkJ96oxy8RNDl8B7AZ8BdwC3I/kYxmkINXNgHrqCDMWZWfzzbhxbCwqYjVuwBRxTrUTemuAO5MhXwzlDsMpbEURvxXjZu9vAvoRKHIAEgW4QWFjYHpgKfCEoxh4BugDHFRYyMKNG6GwsGJHHkP72YhTnmrKAtyaqFAzR0VFaMMGyM/nKWAX4Hy8IpcUzMjCTQC8B8wu89MSYBBuZvdDnDJVMkNbgOuXLqDmihzAB8AxQZ4FZY6vB37HzRbvAMwkmGmX+ACn2I0zo10CZPB4YsIMM2OYGa8Cr+K+Z1cBO0iMr0aRA3gZp/iFQcE1v+DWCu8CDMC9s/VCkavHFOGec3fgBGApboxV1Xc1H/fdDGe1kQqRZuIm2I7GeULcAXyN2WWYRbWYeuoOP1hOXS4pLmbwtGmc26ABHXBuZfnE3mGvx73EBdWdmCSW4maDPsMpBWtwrg+vA/1xs0uRih4SnwMXAwfjBome+Plvw4a80LMnrFzJs7jnEOusmoCPca5vNUW4RdaxuuAJyF+zhtf69EG5uXxJekRjS2f+H84iPkGK6pK0CPc+H4ZT+p7CzdQOwFlME8XzuImIibi+4h5cEIf2wFSi92f/h4sEHDbaqscTGjMamHEi8C4wDxccahywo8RfpdIlDdUh4AbcgLw6Sr7984HjcJaZq4AVIcX3pD/CtYM+uP74Vdy3NdINMh83lno1/pJUjPQUrp8/ADfhNhFYgdkNQQAVTwrg3SxTEDP6AP/FDZiOl0pnVdriXqQTgEZUrowX4QbhAwk7I7NFhkWQEDcGww3EuuDW2FUb6c4Mw937wcBeEh/VUIZ6iRnNgeXAfyUOx7Wfi3BKslG122M+cCjwWgJFmofbRqDCFhxlyMNZh8YBS8yYAfwB6CLxfQJl8QSYkYNbX7IMGFymv0kbzJiKi9S7s8TyupbHs/VhRiPgNJyFuBtuonIiMFNic5zZNsBNYAzEfdPLUoSbfPsF5+r8UPD/ek89dbOsij1wE6YDcd/593HbCc1NeElme+PcL0fg2uc9wN+R0m3bh60Kr8ylGMHAaglu3VlPiV+jnFZVkJRC4Decy0fcs3Z13Vma0Rbn1vUdsI/kXUjCYsYNwASgj8TSMj81wVliJuBcWiMXVOfjrB23Jlik7XAhottRUaFbj3O5HUuZhdpmdMG5aN4jcV6C5fEAZlyOW+S+n5RQ5b3WMKM9TiF9TOK0upbHs/VgRhNgNG6LgQ44i9yNwJNSRe+SOGiGC5RyBM761gA3UfsY7jv/NnFOym6t1PX4xAOY9cDtUXpKcOQhYCKS3+OzDvDKXIphxmSc5eRQieeqOf0A3NqzPjgzeyPcjMwxULPgIanQWZpxJIE7l8RldSVHOhIow8uAZyT+WMlpmTiXnYuAHjil7nNcm0rW3kRtcMFQ9sENXLJx7pxX44IBRFnbxx24wdQuEsuSJFe9pIz19k2pxoFu6hQzJgKXAntKaR3Nz5MCmNES9y0eh4sQvAjXNz6fJOv1djhlcR0u4ERdLZFIeVJhfOIJMNsRN9ExGjcGfQy3Afm7dSpXPcMrcymEGcNwrmj/lLgoxKWNcYPxbyCqJS8eWRZB3XeWZtyJ23D1QImX6lKWdMKMScB5QA+JL2K8LJOKfvfJoiUulP3nVLOWLghssQx4XOLUWpCt3mDGX4Ergd4S79W1PDUhGHwvB16WOLqu5fGkJ4GV92LgHJwXw9O4jb7frFPBPKWkyvjEUwazNriJj/NxnmXP4SzYr+AVjaTjlbkEM3Y+zXGLRfcGhuBm2rJwwT9W4SJYLQbenDxsy0JpM1rjFpf+CvSV4t6vKSFyr/2RARkNyGiyLV9XJXeyMSMXF0wlG9ijwl5SZjHXN1KtyZ1owrSrKYfTHKckTZc4u24kTixm3Ixbq1JqdYn3XduaCdlOGuOU5KckTqobiROLGRNwQSUGlg6+60kfkY6k0jscuHRfhttnKxN4BLjZW3nrnlQdn3iiYLYNLmjVn3CeOG/iLNrPJF2pq8d9vVfmEsTY+eyNMzUfg3MfyyF6oIeScN6NcOG8b51yOEuAx3F71PSTeL9WhKZmck8exuLakNGMvrgOYbbEycHBuOVGqhW5E0E8z2flB3z/xn10+OkLukisrD1pk0cZq8srF8zjOlK8zdY28bST7z7i29fupvNPX4Sy3qY0wfqmZcDHBWRemknRVt9HpCOp9N0J9iocj9tXq2Q/y1u8S3fdk0rtxBMSs2xgFG6CZEdcDISbgdkJ34C8nowHq8IrczVk7Hw64jba7YtrIA1CXF4EbFr3M9/+52J2zvuVSyX+ngw5I0mE3LiF2adNHpZ8hcGMq4DrD2Dh2IUcdBwJkBspZRWdmjyf4iJQMYUNGvIatfR8aoM23Zk46P9xWbvd2ZiRQUNSvM3WBr6dVGSAvXn1TVxx3SBe25RJUSZbaR+RjqTSd8eMgTgX4+G4AExTgX/4qLl1Tyq1E08NMWsI/BEXAbMHblL2b8ADNd6A3Cxh7STd+3qvzMXJ2PkYzh1jMs6MW1W49SopKgQVUZTRkNEZGUyfPCx5kasSKTdulmMzLgJhUuXe2xZn7scrn9zA1V1zyC805wYTL+XkTiV/7nR9PsmkpE4kJhcXkdugJk9+K6sTfDvZgplrJzC5kMychhRaDXJL2T4iHUmV9hpse3MITokbjFvW8E9gSgUXfk+tkyrtxJMEzDKAo3BKXT/gB1zE7LuQ1oXMK2ntJF37eq/MxUHQ4dyGi95T1V5dYcnD7dlxcTI6nnSVO3hxbyvGzslA2QnMuVTuVHiB0/b5JBFfJxXxdRKFoI8giXWSCn1EOpIK7dWMBrj9Kq8AeuPWz/wdt+VJLJt2e5JMKrQTTy3g+uoDcO/igcDvwBRgElL1+yj6vj4qlW067amEJHY4BPmNDvJPKOkqd9kXN8GKHCRT7pCk7fNJIr5OKuLrJArJ+7hDutZJilDX7dWMLDPOxG1/Mpste2x2lrjdK3KpQV23E08tIglpIdJBuC2KXsZtTbQCs38ErpPR8X19pXhlLjwjSU5DKiEXGD12PqMSnO9IvNzRcC+wWaLlDstI0vP5JJOR+DqJZCS+TiIZSf3oI9KRkdRBezUj14xxuGA49+GCHpyA26plmsTmJMnjiY+R+H6t/iG9jTQC2A23/+xYYDlm92LWPcoVI/F9fVS8m2UIgkW5n5K8hlSW9cAuk4exqqYZpavcwQxNrcqNVHO5Q5K2zyeJ+DqpiK+TKNSTPiIdqYv2OuVw8tmy0Xcr4BVcWPQFSdro21NDfL/mKcWsE3AJznreCKfg3YS01Pf1VeMtc+GYgVtsWRs0CspLBF7u6kmk3GGpL/cZBl8nFfF1UhFfJ6lLrT0biUa/r+RN4BvgOuC/wCCJIRLPekUupfHvsMchfY10AdAJmAgcCryL2XzgaXw7qRSvzMXI2Pn0xYU/rUnUnDA0BPoF+6zETbrKjVmdyB3sV1JrpO3zSSK+Tiri6yQK9aSPSEdqu72a0bDJtmy/w168AfSSOELi9doo2xM/vl/zREX6EekK3P50E3Br63rh+/pK8cpc7FyM09Zrk0ZBuTXByx07iZA7LPXlPsPg66Qivk4q4uskdan1Z5PZiKKjrudXifdrs1xPjfDvsKdypNVINwILgeJaLj2t2olfMxcDY+fTHPgeaBzmOhUX8+YDE/h4wT1kNMhklwPPYJ/Tb6BBZqjJhY1Au8nDWB3mIohP7rU/fs2Do3aqcLzvydewz6nXhik+brkxi6u+N+IWSswCWgB/Ai4KXbiTGym83CEJ+3xWfrCIJ8cPBSArdxvadu9Hv5Ovod1u+8ZTfPzPJ4nE02bL1ktZmnfcmVPv/jRM8VtNnaTEe5xM4ugjEtQ/lGRVK31EOlLjd9iM3Jbt2fmA0xhwxl+xjFBzzqnZXj0V8P2aJybqyXiwptRs+936wwDcTvGhGtNbM67h04UPcPhVT5CV25z5fz2WRk1bstfxl4fJZhPQH3g2zEUBcckNcOytb9By+x6lfzfICp1Frct9CW61+2vAz8AxQDdgeLiyayJ3WOK6zzMe+IYNq3/i3X9P5IkrhnLcbf+lTdc+YcuuzfsMQ9xtduSDK2nYeMvaaMtoEDaLra5O6vg9Tiah6yRB/QOkbp2kCjV+h3/79hPmXX8MzdrsyO7Dzw2ThX826YPv1zyxUF/GgzXCu1nGxt6EjKBTuHkj78+5nYGjJtJ+9/3Ydqee7Hn0hXzy/P1hy84Jyo+H0HKXkJXdlEZNmpemzPCdZa3KnQfcC/wN2AO3E+UI4lrBWhO5wxLX82nUpAVtuu3FoVc8SssddmPpY7fEU3Zt3mcY4m+zuduUa7NZOU3DZrH11UndvsfJJFSdJLB/gNStk1Shxu9wux4DaL/7YL7/9M2wWfhnkz74fs0TC/VlPFgjvDIXG0MIacX8+ct3Kdiwng49h5Qea7/bfuzQ59CwZTcE9g97UUBouRNIrcr9Lm4Kpexbd0p8AtRE7rDU6PmYGTvtcyQ/fPxGPJfX5n2GIV3bbDLxdVKRUHWSwP4BUrdOUoUat9e1P37N9x+/TuvOvcJe6p9N+uD7NU8s1JfxYI3wbpax0SHsBet/WQlATst2pce27bwng8/9Zzzlt4/nIuKQu4T//HlgubUKJ9z+Ds07dAubTa3J/V3wb+syx0KrzVuIV+6wxP18SsjdtiP5q3+M9/Laus8wxF0n00/vWPr/nfofzcF/fiCebLaqOqnj9ziZhKqTBPcPkJp1kirU+B3enLeGnfofzR5HXRhPNv7ZpAe+X/PEQn0ZD9YIr8zFRui9LYoLNwOQEX7dTjTijfYU954cwyb8h+Ydupf+ndsqrn631uQuCP7NABYDBwV/9wZeCl9+bUXXqvGeKWZWk8trO4pYLMRdJ8fd+gaZjXIAyq2dC8lWVSd1/B4nk1B1kuD+AVKzTlKFGr3DDRo24udl7/HyHefx3uO30uf4y8Jm459NeuD7NU8s1JfxYI3wylxsbA57QaMmLQDYuO43srfZFoCv3nqGBTefyLlP5IXNblPYCwJCy11Cbsv2NGvbKd7LS6g1uVsE//4G9ATeA+YB0+IrP165wxL38ykh79fvyll/Q1Jb9xmGuOukSesdyMpuUtPyt6o6qeP3OJmEqpME9w+QmnWSKtT4Hd6mXRfW/rCcJbNvikeZ888mPfD9micW6st4sEb4NXOxsSrsBa279sEyMvihzALu1as+p8m2Hau4qlK+q/6UqISWO8HUmty9AQPexE2jdAIK4yyc+OUOS42fz9fvzC23LjMktXWfYUjXNptMfJ1UJFSdJLh/gNSsk1QhMe1VoriooPrzKuKfTXrg+zVPLNSX8WCN8Ja52HgZGEyI3edzW7aj2+A/8to9F5PToh0qLuT9ObfT4+Azw5ZdACwKe1FAaLlL2LxhHZvWb9lawxpkhrV61Krc7YETcXuJtMW9wFOAZuHLroncYYnr+Wxa/ztrvvuCpY/9nd+//YSDL3konrJr8z7DEHebTQBbXZ3U8XucTELVSQL7B0jdOkkV4m+veWso2ryRX756nw+enkzHPQ8Mm4V/NumD79c8sVBfxoM1witzsbEYyAe2CXPRAePu5fV7L+Gpqw6mQcPG7HLQSPb+44SwZecH5cdDXHIDPPbngeX+bt11L06cFEqMWpf7PuBC4ADcCzwUZ14PSU3kDktc9/nAGTvQqElz2u8+hONufZMWHXeOp+zavM8wxN1mE8BWVyd1/B4nk9B1kqD+AVK3TlKFuNvr9NM7BpuGt2PHvQ9nwMgbw2bhn0364Ps1TyzUl/FgjTBJdS1DyjN2PnHtQJ8gNgLtJg8j9A706So3ZnUuN1J4uUOSts8nifg6qYivkyjUkz4iHfHt1RMLvp14YsL39THh18zFQPDCPwkU1XLRRcAT8XY46Sp38OLUmdy19eKm7fNJIr5OKuLrJAr1pI9IR3x79cSCbyeemPB9fUx4ZS52bqX2o9psCsqtCV7u2EmE3GGpL/cZBl8nFfF1UhFfJ6mLfzaeWPDtxBMLvp1Ug1fmYmTyMBYDb7NlC4tkUwC8PXkYS2qSSbrKjVQnciPVTO6QpO3zSSK+Tiri6yQK9aSPSEd8e/XEgm8nnpjwfX21eGUuHKeRgL3BYmQTcGqC8vJyV08i5Q5LfbnPMPg6qYivk4r4Okld/LPxxIJvJ55Y8O2kCrwyF4LJw1gJjAVC7/odkjzgwsnDErMPS7rKjVSrciPVyb43aft8koivk4r4OolCPekj0hHfXj2x4NuJJyZ8X18lXpkLz3TgHpLXoPKAeyYP4/4E5zsdL3c08oB7kBItd1imk57PJ5lMx9dJJNPxdRLJdOpHH5GOTMe3V0/1TMe3E0/1TMf39VHxylxIJg9DwMUkp0HlBflenOB801Zu3N4Z6Sd3SNL2+SQRXycV8XUShXrSR6Qjvr16YsG3E09M+L6+Uvw+c3Eydj4GjAQm4TaYj3l3+igU4Hx0L0z2zFG6yo1ZUuROtRmYtH0+ScTXSUV8nUShnvQR6Yhvr55Y8O3EExO+r6+AV+ZqyNj5dAQeAvrhGlWDEJcX4RrR28CptenLna5yY5YwuVPZJzptn08S8XVSEV8nUagnfUQ64turJxZ8O/HEhO/rS/HKXIIYO5+9cebZEbgGkkP02YICIB/X8J4AbgvC89YJ6So3ZnHLHYS5TQvS9vkkEV8nFfF1EoV60kekI769emLBtxNPTPi+3itziWbsfJoD/YG9gf2B9riGswn4DlgELAb+O3kYKbOzfLrKjVnMciOljtwhSdvnk0R8nVTE10kU6kkfkY749uqJBd9OPDFRj/t6r8x5PB6Px+PxeDweTxrio1l6PB6Px+PxeDweTxrilTmPx+PxeDwej8fjSUO8MhcFM8sys+bmwp+WPd7KzDqZWcLrzcxamNnuZhYmGk+8ZTU3s0lm1ifB+bYws2nmFqPGes3hZnatOXKC5NulpwJmtoOZjTGz3LqWxePxeDwejycV8IPm6JwO/A40jTh+HfAV0NTMmprZsdEuNrNdzKy/mfWKkvYys95RLjsS+BAXhSfZjAlSm0Cxi5YaRV5kZo3NbO8oKSs45Qhc3cWEmbUD7gKOApoAd+A2biwyM0Wkb8ysZU1v3JM8zCzbzJpEpOzgt4ZRfmsSTJC0ibGInrg2sm8csnUxs2bB//c0s5VmdlPYfDwej8fj8XhSicy6FiBF2RD8uzHieF6Z44cC/zazIyXNjTjvMuBkXASdyAgzWcAnwF4RxzdVUmZCMbMdgAm4Zz+/ktPW4eT7IuJ4e+Ad4EVciNdsYDDQARcp6CzAgGcjjJoPS7owQo62wLPAb8BBktaZ2eXANbj6L8Yptk8DOwMnSfotjlv21B4vAAMjjr2Miyo1BvhnJdctwUWfwszuAY7D7QETScnk0+NmFvmeNABWSOoVeZGZdcC9c9cBNwDbsqXNejwej8fj8aQt3jIXnaKIf0tYF/wrSU8B9wD3RFqxJJ0pqbGkbYBHcLvUt5LUXFKOpL0AzGyRmZUoVEXBtQVJuB+C8rKAR3GKmIDjgXZl0gXBqedIilTkCK4DOFHSYcAZJcfNrB9Osbte0raStgUuBFoBD0bI0Q94E3fPB5YoaZJ+lLRC0k/AWmAqsBtwiqTXa1wB1WBmJwVWwJMq+b2rmT1jZuvN7OfAVbVx8FunMlbEzWb2rZk9aGY9ouTT3cyeNbM8M/vRzG6qDffaWmAzMEaSSTLgL8ExcJMVK0p+K3NOQ2BImTwuAtqWtKGgHXUL/t8yuKYZcG2Z49sCbXDtrwJym4E+CYwL3tUSC++Xibx5gMBNeIWZ/RLlt7PM7DMz22hmH5nZHxNdvsfj8Xg8nvqFV+bKYGY7mlkXtgz2OplZpzKnlOxLUWLRvBg4VtImomBmuwNn4qxMmWb2TzM7uMwpG3DunEknWId2N85VbV9gWvD3zpJ+wFlGbgVukDSrkmwq28dCwN9wVrtRZlayWeM44CmV2ZTRnMluEvATcACQbWa3lVWIzWwbnNXucOBT4OPwdxwXwyP+LcXM2gOvATvhrK4XA6cAD0SceitwMHAbznr7jpn1LZNPa9xeJ21wyvT1wJ+AKxN4H3XF5ijHSiYAolnakFQoKa/M33mSNgfuyPuaWVfgezN7xcxOD1xz5wC3AGPNrW8dBDSRtLYK2W4D3gJa4CYYAL4Nd3sxMQHYIfKgmZ2Cm/x5CdeuPwAeNrODkiCDx+PxeDyeeoJ3syzPXbgBeAlfssVNDODn4N/egZvgHkBPM9sDuEDSgpILzax0USA4AAAOVUlEQVQVMAt4WtK1wbGdgRFm1lPSGtwAN9oAOBmMAk4F/iDpYzMbg3P5XGhmTwLHANdKuqGKPCpT/scAg3CK4r+As81sQ/B3OSuXJJnZH4B1gWvlHcAfcBbDt8ysF/AwzlI4ChgGfGhmM4CrJK2M5+arI1B2D8NZkA4zswxJxWVOuRrnnrevpGXBNc2AKWZ2NVue49eSXgZeNrNngfdw7oUl7ocXAdsB+0v6PMinO3CJmU2UVFvtIRlkAN3NbP/g7044t9t4GAO0l3S4me0I/BE3CdCMwM1Z0itm1gJ4FTgQ5/5bipl1w7lfbgZ+wFmeG+MUcoBGEZM1AAWBJS80geL5Z7a4Y5dlPG5N7JjgHXgNGApcgnNP9Xg8Ho/H4wmNt8yV5w84t68Tgr8zgRPM7Dwzm4SzoICz0MzAWXDW4pTAUrfEYLb9TVxQj1vNbLCZHYUbdG6PG5TWKpLuA/oE7qHgrIXP4AbGxwKrgDeqyaYB8CPwPzMrBt4N/n4GGCXpE5xl4mrgH8BYScujyPJdoMgdh1P2zgS+NLMbcdaTYmAfSdMlnYizZBwCfGZm4y1iQV6C6I+z2EwM/u1f8kNQ3vHAmyWKXMB/g3/7EoWgPuYCAwLLHsDRwGclilzAOzglZSfSm8+BfsBkYCHQlfKujDtaxcA2P0fLCNcuNwcTJVfh1qG+jwuw8xzwgpk9ADQPzo+mBN+PWyu3DBe4qCRdFvy+OOL4VzirX7z8E9cPPFn2YHAPu+Os1AIIlPbngIPMbNsalOnxeDwej6ce4y1zZZCUD2BmJQOuIjP7HbgZ+BoXqKEfcD5wV/D7tpIi18fsCXQL/v88LpDHlzi3rteBP5pZVRYwAjn+ALQG8oMU1VUtgmwgFyiSdH/E/X0QWL5GACNxCsRfcRaNm3FWus9xQUc+DOTNA5ZK2izpK5xVCTNbjbPyLQqyX2pmmUBvYBucQrbZzDIlFUa5t71wrp5PS3rYzE4ALsVFKxwvqSQIDZKeC+R+DMgqGRCXyWskbuDeU9L/YqijaAzH1fEtOBfK4WxRbrfHKXgfRVzzCVuikFamYC7B1ffugeKyM7Ag4pwncVbMZLj91RqSzgcILHPPSBoUcco3uDWQJZyBs1hVxQ+4tnSkpHeDYzPMbABOwf+pimsPwb0zhZJK3x0zWwJ8I2lE2ZPN7L9AVMtvcE8vBXI8E+X3o3CTDgewZS1pCSX3HK39NAC6AxXW2Hk8Ho/H4/FUh1fmqiBwAfwaaF2yLi4YtGUFilxz4AMzGyOp7Iz+/Thr1Ve49TNfAMdLei9YG9ZF0hcxGJjOw7mPxcOKQA7M7Dyc0rEnzn3xI9waoum46JGjJA01tz/c6bhB6Z+DfN6UNDDIpwPOPXBm2YLMBTQ5BreGbC3OXdFwloq/m9mbuEHyNZJ+DQbiT+G2flgLIGm2mb0XyB3NyvIbcJSkaGsM5wIDcBaYeBkOvCJpvZm9HPw9Ifhtu+DfX8teECj/z4ALgFJJviWWp5ZByiRYexlY/Brg1k5+SmzKejojSetL/jCzTVR+z0U46+gHwd8nBu9O5PrUMTjrcIUAMiWTM2UJnlMf4M4oZbajcuv0u7g29mmUPBvjLNGzJb1kZpHKXIfg38horCVtuT0ej8fj8Xg8ceCVuTIEA72TcGu1wEXHezQiwMnnwC7B//8PZ7EpF+I8iM74W5AnEb9tIvaAHlfgrGz5BPuvxXBNTnBN2YLfwylbk4A5gfsfgXw74SxpBIFKFpuLetkG6Ez5AWgP4D6gRJkbam6rg1xcnf0FuKeMFWRPMxuIs5BsGyhy2+Fc8F6hYkCVV4C2gVzR7u19oELoeUk/s0VpCo2ZdcQpujMC6+ILwD/MrGOwRq9kH714lK2y91gSGKZkLd5wnBW0hKG44Chph5nl4KxkJWtOM83sTKARzhodCknjcAF0ypbxPC6i7LGR1tkQnIdz4fy3mbWImBxoi3M3jibPWra41UZyWXDtnyv5veR5R7q1lzTyrV2J93g8Ho/HkyS8MhdgbnPjT3Ez/O8Hh3tGGTS+B+xtZvvgQu+PlfRORF6H4MLqb2TLAP4/5vbGygTulHR7dTJF5hsvkt4ws3k468FN0RSlEtfSCMZKmlLm78IgldATZ1U4B6fkrQf+FZFXA+CMkiAwkn4ws1E4y1xk1MzDgn8346JrPgDsh7OIZVJ5NM2acnjw7y1BKnv8brZsSdGk7EWBpfJRXCTPD4hOSeTEX3H1UzafV3Hr7drh6iOd2YBT6jfj2nwWTrlvxBZXSjOzsnXYiCgWNTO7BhgbeRhn2cwDfq5E2d+xbGTMKPm2w7XVh3CK1+lmtqukPHMb0jeiEmWuijx3xN3fjcAPwWSABb9l4hS1kjxbRFxe8vf3Ycr0eDwej8fjKcErcwGSNpjZFbgACH2Af1cy+/8qMBo3iJ8laWqUcz4BLse5hG2HUwj+iXPZLFEawdV/be0vNh13b5so78Y4DWeZOzb4u2Tvr0ZUv23CpDJr5jYHbnMjJJVG5zOzr4lwjZP0aPAbEcffK3Ndm+C/XwZbJyST4bj1XMeWOfZYcPxu3HrHYrasgyyhPW6bhywqpw9OCX1P0upg3Vw3gCCi6eIgQEadYmYn4yKSrgJuLrvGLBaCCI2wReHOl7R9mfzPwrkcr4u49Fcq0gD4RdIuwbVNccryJOn/t3dvIVbVURzHfyudtBCzMCgoCiJIdAokQiJD8cWYCqPCEIpuBElhFywIK7pZkGARXamHXiy6IKUVlY1FVBaWZjVBBEE9BJaoZT2otHr4/ffMnuOcY2ccsS3fDxycs8/Z58Y5stde679W3heeyddXNfMpDYfel0+etHt/IZ9gGS8PDj9S7iS5TM6AV6W03Q4Snyv/ph8ol7o9csb6i3L9TLlTa6VXPjnygwAAAEaBbpY1mblypO6LLTbIB5vbJd3Q5nF+yczXMnON3DRBkj7OzDWZ+UpmVlmc3Rqe6TpoMnNHaWDyp1wmuVA+kN4tt2P/Xe7Y+LKkiZn5U2buaPuARUQcGx7TIA2Vk7X635aRlXVY8ySty8yN1UUuBZ0XERNKtme9XFZ6fG33uXLw8sU+D6zBVvUXSXqvlIJK0tuSpodnEFbOGdt31Z2IOEvSjMxcLJcALzpIT7XP0PD0wO9Wg9+jErg9L5f7Li+b50t6IyIuqu/ULgAtgdwKuZPonZn5c2b+KM99m1zuVgVz3Y4lWCNnV+uXtZJ2lr/XZOaAnNG/sOrEWvvevVvKsgEAALpGMNeF8Nyq1eXqPyoZroiY3aEBxsTy7/kRcWtEPBcegHxSZl6cmde02W/Mldf/mRw8jJQR+UNeO/ZNeA5du8eZJmfvHpNLxKrMUrdlkNWBbU9ETCplaZ1e/1GlVK51+/ERMauUynZrjlwe2N+yvb9sn1Ou3yH/XtZGxAURcZPcPGZVZv5c2+/U8n1YIq8B3CF3P63cV7a9FRELI+JKDQUph8qJkjaVvzdrbBpyREScHRGLSsOb0XpUHhWyRdLy8LzBpfJJkGdLeWSnFzFRzobdJumFlrLhJVUHTg295xEzcxExuXzHptS3Z+a2+kmAciJgm9xBc2NmVr+zR+Suls9ExFy5hHiqPGQeAABgVAjmRjbsc4mIKRFxv7yWbq+8lqpXPjCXPIz769I4RBHxakQMRMQ2uW295BEAV8nrZD7VvgeN03SQsnRhN8gH7HvkeXMvlzLSwRLB0qVyhpx9fCoiVlcBVslILZYDnAG5pG2dpOmZ+X71VJLejYi91UXSKR1eWk+59MkZwz1R5o9pKKP5a23b33IJa6s+OUg9rbtPZnBfaeRgbvD20hZ/trzu7XW5+c3Tkq5r2e92Oau3pNxvZtZm05Xs6Gy5w+mLcsnfCh3a7OUH8qD0u+XgadV+7j9MRBwZEdUMxiflLqpHyxmqa+W1buMkHVF+S/XLsRFxQksgX6+//VJu23+c/Nm/KZcwnysHyxM6vK7z5N/aFfJnPSyTXpVRl2zZAknb6yMxWsyUv2Ot4xb+k1JafK2czX1H/v9jYWau77gjAABABzH6pnCHn1IueIt8sN2bmceUcrjP5aBnpaRlmbk7Im6Wu0O+Ja+b6s/MS8vjPCoPTN4gB1DfZeaI5VsRsVTSw/LB7qbMnHkQ3tcMSR/JJWE3lvWBC+RSy8vkmWCX1O4/Xm7dfkxmXl62TZIzSt/LGblVrQe+EbFL0oIR1szdWa2Ta7n/OjmIu1Lunrm/stMeST3/oRQWo1Cynlu7XS9X9h2QT1D0y8O4N2fm1trtS+TvTTunl9JHRcTD8trLMyKiR56ZuE8JbylVnCVnT+/JzHG1266Wg8qUM6gPtq6BLcHrdfKa0SmS3s7MPgEAADQEDVCG2y530ftL7lCozPw2Iu6S9GFmVl0ulZlPlOUvK+QA5KHabUu7eM6X5FEHn8gNSsZceQ+9mVnPBv4ml699pZbGDekh39dHrfNgev7afEkfdGgL364RSLvsSY88s2+Xhjo94hDJzAPpqji907iAzHxcbgI0TEQcIX9v6k156tniPR2ec7fcmfJkuTy07kW5ZPjNDtmv9+SSzV/kwe33dnguAACA/x0ycweodF38pzQQaZSI6NnPwXK3jzdV0s6xfEygk/DAeknakpltu1kCAAAcjgjmAAAAAKCBaIACAAAAAA1EMAcAAAAADUQwBwAAAAANRDAHAAAAAA1EMAcAAAAADUQwBwAAAAANRDAHAAAAAA1EMAcAAAAADUQwBwAAAAANRDAHAAAAAA1EMAcAAAAADUQwBwAAAAANRDAHAAAAAA1EMAcAAAAADUQwBwAAAAANRDAHAAAAAA1EMAcAAAAADUQwBwAAAAANRDAHAAAAAA1EMAcAAAAADUQwBwAAAAANRDAHAAAAAA30L+P3eEeUK6aDAAAAAElFTkSuQmCC\n",
417 "execution_count": 7,
418 "metadata": {},
419 "outputs": [
420 {
421 "data": {
422 "image/png": 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\n",
385423 "text/plain": [
386424 "<Figure size 1080x324 with 1 Axes>"
387425 ]
394432 ],
395433 "source": [
396434 "# 为搜索算法提供辅助信息\n",
397 "g.help_info = {'A': 30, 'B': 20, 'C': 19, 'D':10, 'E':5, 'F':25, 'G': 0}\n",
435 "help_info = {'A': 30, 'B': 20, 'C': 19, 'D':10, 'E':5, 'F':25, 'G': 0}\n",
436 "g.set_help_info(help_info)\n",
398437 "# 动态演示贪婪搜索\n",
399 "g.animation_search_tree('greedy')"
438 "g.animate_search_tree('greedy', sleep_time=5)"
400439 ]
401440 },
402441 {
436475 },
437476 {
438477 "cell_type": "code",
439 "execution_count": 10,
440 "metadata": {},
441 "outputs": [
442 {
443 "data": {
444 "image/png": 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\n",
478 "execution_count": 8,
479 "metadata": {},
480 "outputs": [
481 {
482 "data": {
483 "image/png": 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\n",
445484 "text/plain": [
446485 "<Figure size 1080x324 with 1 Axes>"
447486 ]
454493 ],
455494 "source": [
456495 "# 为搜索算法提供辅助信息\n",
457 "g.help_info = {'A': 30, 'B': 20, 'C': 19, 'D':10, 'E':5, 'F':25, 'G': 0}\n",
496 "help_info = {'A': 30, 'B': 20, 'C': 19, 'D':10, 'E':5, 'F':25, 'G': 0}\n",
497 "g.set_help_info(help_info)\n",
458498 "# 动态演示 A* 算法\n",
459 "g.animation_search_tree('a_star')"
460 ]
461 },
462 {
463 "cell_type": "code",
464 "execution_count": 9,
465 "metadata": {},
466 "outputs": [
467 {
468 "data": {
469 "image/png": 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\n",
499 "g.animate_search_tree('a_star', sleep_time=5)"
500 ]
501 },
502 {
503 "cell_type": "code",
504 "execution_count": null,
505 "metadata": {},
506 "outputs": [
507 {
508 "data": {
509 "image/png": 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\n",
470510 "text/plain": [
471511 "<Figure size 1080x324 with 1 Axes>"
472512 ]
479519 ],
480520 "source": [
481521 "# 可以调整辅助信息的比重\n",
522 "# help_info_weight 为辅助信息的比重,origin_info_weight 为原始信息的比重\n",
482523 "# 当只考虑额外信息时,即 origin_info_weight 设置为 0 的时候,A* 算法退化为贪婪算法。\n",
483 "g.animation_search_tree('a_star',help_info_weight=1, origin_info_weight=0)"
524 "# 可以设置 sleep_time 来调整动态演示的速度\n",
525 "g.animate_search_tree('a_star', help_info_weight=1, origin_info_weight=0, sleep_time=5)"
484526 ]
485527 },
486528 {
513555 },
514556 {
515557 "cell_type": "code",
516 "execution_count": 12,
517 "metadata": {},
518 "outputs": [
519 {
520 "data": {
521 "image/png": 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\n",
522 "text/plain": [
523 "<Figure size 432x576 with 1 Axes>"
524 ]
525 },
526 "metadata": {},
527 "output_type": "display_data"
528 }
529 ],
530 "source": [
531 "node_list = [\"0\",\"1\",\"2\",\"3\",\"4\"]\n",
532 "weighted_edges_list = [(\"0\",\"1\",10), (\"0\",\"2\",10),\n",
533 " (\"1\", \"3\", 10), (\"2\", \"3\", 5), \n",
558 "execution_count": null,
559 "metadata": {},
560 "outputs": [],
561 "source": [
562 "# 首先导入必要的包\n",
563 "from search import Graph\n",
564 "import collections\n",
565 "import matplotlib.pyplot as plt\n",
566 "import collections\n",
567 "from IPython import display\n",
568 "import networkx as nx\n",
569 "import numpy as np\n",
570 "import time"
571 ]
572 },
573 {
574 "cell_type": "code",
575 "execution_count": null,
576 "metadata": {},
577 "outputs": [],
578 "source": [
579 "# 定义节点列表\n",
580 "node_list = [\"0\", \"1\", \"2\", \"3\", \"4\"]\n",
581 "\n",
582 "# 定义边及权重列表\n",
583 "weighted_edges_list = [(\"0\", \"1\", 10), (\"0\", \"2\", 10),\n",
584 " (\"1\", \"3\", 10), (\"2\", \"3\", 5),\n",
534585 " (\"2\", \"4\", 20), (\"3\", \"4\", 14),\n",
535586 " (\"3\", \"2\", 5)]\n",
536 "nodes_pos = {\"0\":(1,7),\"1\":(5,1),\"2\":(5,13),\"3\":(9,7),\"4\":(11,13)}\n",
537 "h_graph = SearchGraph(node_list, weighted_edges_list, \"0\", \"4\", 5, nodes_pos)\n",
587 "\n",
588 "# 定义绘图中各个节点的坐标\n",
589 "nodes_pos = {\"0\": (1, 7), \"1\": (5, 1), \"2\": (5, 13), \"3\": (9, 7),\n",
590 " \"4\": (11, 13)}\n",
591 "\n",
592 "# 实例化图\n",
593 "h_graph = Graph()\n",
594 "h_graph.add_nodes_from(node_list)\n",
595 "h_graph.add_weighted_edges_from(weighted_edges_list)\n",
596 "h_graph.set_nodes_pos(nodes_pos)\n",
597 "\n",
598 "# 设置起点\n",
599 "h_graph.set_start_node('0')\n",
600 "# 设置目标点\n",
601 "h_graph.set_target_node(\"5\")\n",
602 "# 设置最大搜索深度\n",
603 "h_graph.set_max_depth(3)\n",
604 "\n",
605 "# 显示无向图\n",
538606 "h_graph.show_graph()\n"
539607 ]
540608 },
7777 },
7878 {
7979 "cell_type": "code",
80 "execution_count": 1,
80 "execution_count": null,
8181 "metadata": {},
8282 "outputs": [],
8383 "source": [
9494 },
9595 {
9696 "cell_type": "code",
97 "execution_count": 5,
98 "metadata": {},
99 "outputs": [
100 {
101 "data": {
102 "image/png": 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\n",
103 "text/plain": [
104 "<Figure size 432x576 with 1 Axes>"
105 ]
106 },
107 "metadata": {},
108 "output_type": "display_data"
109 }
110 ],
97 "execution_count": null,
98 "metadata": {},
99 "outputs": [],
111100 "source": [
112101 "# 定义节点列表\n",
113102 "node_list = ['A', 'B', 'C', 'D', 'E', 'F', 'G']\n",
135124 "# 设置最大搜索深度\n",
136125 "g.set_max_depth(3)\n",
137126 "\n",
127 "# 显示无向图\n",
138128 "g.show_graph()"
139129 ]
140130 },
197187 },
198188 {
199189 "cell_type": "code",
200 "execution_count": 6,
201 "metadata": {},
202 "outputs": [
203 {
204 "data": {
205 "image/png": 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\n",
206 "text/plain": [
207 "<Figure size 432x576 with 1 Axes>"
208 ]
209 },
210 "metadata": {},
211 "output_type": "display_data"
212 }
213 ],
190 "execution_count": null,
191 "metadata": {},
192 "outputs": [],
214193 "source": [
215194 "g.show_graph(this_path=\"ABDG\")"
216195 ]
255234 },
256235 {
257236 "cell_type": "code",
258 "execution_count": 7,
259 "metadata": {},
260 "outputs": [
261 {
262 "data": {
263 "image/png": 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\n",
264 "text/plain": [
265 "<Figure size 1080x324 with 1 Axes>"
266 ]
267 },
268 "metadata": {
269 "needs_background": "light"
270 },
271 "output_type": "display_data"
272 }
273 ],
237 "execution_count": null,
238 "metadata": {},
239 "outputs": [],
274240 "source": [
275241 "g.show_search_tree()"
276242 ]
346312 },
347313 {
348314 "cell_type": "code",
349 "execution_count": 9,
350 "metadata": {},
351 "outputs": [
352 {
353 "data": {
354 "image/png": 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\n",
355 "text/plain": [
356 "<Figure size 1080x324 with 1 Axes>"
357 ]
358 },
359 "metadata": {
360 "needs_background": "light"
361 },
362 "output_type": "display_data"
363 }
364 ],
315 "execution_count": null,
316 "metadata": {},
317 "outputs": [],
365318 "source": [
366319 "g.animate_search_tree('dfs')"
367320 ]
382335 },
383336 {
384337 "cell_type": "code",
385 "execution_count": 10,
386 "metadata": {},
387 "outputs": [
388 {
389 "data": {
390 "image/png": 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jwv+7EJdi/8+kwhaMgZ1YjVuBVMnCms9/KsItwKHkNRsdBgwTYSl2zG8Ds1Wr/PeGc85VGV4zF4Wq7gyr9RkuNk7ZcoImeSLyfvBU/ddg3goRWQXsFd5HKeib8yH2hHeJiPQWyzw4QERmA1Oxm8ujsaZYDwIXYRfWB0NliFV5sJT9U7DmkPWwmoMPsOZmoZvX9VhgGZoGY9kxw7UHngv7+xQRuSw4jiuxm4QjVPVTVZ2hqh2As7H+XgSBXBMsgJwXlCncZ1gNS47kG2cOeyI9naIZgI0B9YkEWUQDjbDzP2JfJlVdp6pfqeqOIu5nFyLSHOgAfBzUSE7DalGa51v0UayW9mQscclpBDWpBQivjQzdNIZqVXtg709oCs/qWKmIDRq/TURCzRoTReQqsUG+Dy/u9lT1xlBtclit8lws2Gqaf16o+XERXIedq6+L9bcL15jo59iW4BzbVMC2t2NJb8YBd4vIwNAMEbkSy9h6F/Z/vgXoF76MCyMiiByKyCBEvsYeKj2FPdx6Envw0xTVfqi+U4JAjtRU/R2rRY42LEyspAE3pKYWry+mKqrK96o8oEpHrD/xAOzB2c3ALKzWbrwIZ4lEb/LtnHOuYvCauaK5LX9NGDakwHrgRFVdISI3AX8L1biFGYTd1HfA+i6kA/2woQr2xm6+a2L9dMar6kMiMjJYdimRlbg8qvpmsF5LrEniS6qam+RBgqyVqpoe/F0P6KCqn+UrQ1YwhRyGjT33f1iQtw3LvhceeCQAl6vq/cE+Vgc3pO8Ar+Tb/pnBzwwsyP03drO1ITjeaNk0c4lIB6xf1H1YP7u2InKcWhKSpsFixR7st4i6Bz8fZdc+kN3ZNVPpCs3L8PlZEHAOFJFniN7cL5Q5cQN5faZSgp8zseCwKfa+VmY7sIcIGVjQWhMbmiAZC2DAKiNTwtZJJkKNmogMxm6yd3kZ+wymYUOGRCrD/lFqfEPbbYqd8y9i/akuE5GDVTVNbGD7ZEpxjgXn6kdYjX0n4AGxREECPAG8oKoPB4t/JiL7AQ+JyHORahGrHXuQcjxWC9UbG1sT7CHW37GaqCXs2ly7tJ7HWj1cze4PwWIhDXg2NVUnlHZDqrkB7VMi1MOSTPXBErn0A7aL8CH2cPE9VTaUdp/OOediy2vmiua5sH5olwEETbumhf7GMhC+FmHd0VjTm05AXVWtHfQLuwc4RFU/wDIR9ga+EXtifI6qvqaq38ahPCGhYOlBsQx9BDVIi7AseSE9sCyKl1Owkap6tarmBDWBO7HsgOHDJfxKviZtqvrfSLVfqvptMC0irynkT6q6WFW/V9X/FVSYoPncs1izqVFYANURu8ECe88hfoM898DK3SlsWkH0IQpCQk3uDipgmaOwYPbboFZnHdAaQFU3B8FhuQ+QLiIXichTIjJISjDmXVhNdOjndlXdT1Ubqeq/gtdaAFvDptFETiCTgCVGCY0hdwDWrPd+VU3BatCuCpvfFwuao/a/C5q0jsUeLjyAPXBohH22oYTnmIg0EJH/ichV+Wb9iGXebIglP6kXvJZ/mT2CclRPInUQ6YM96FqNNTEcgCUC6g/si+pxqA5DdXGMAzlSU1WxWtJniX0NXVqw3VtivF1U2azKq6r0xc6xM7DA9Jjg51oRZohws0huUOycc66ceTBXNP3CApIXgL3EhhIYA9wlIg8ArbAbu12o6ndBgoW5wXp9ROQMVc0MNX9U1aeB/bGMfRug0A7pJS4P5N6EXg+8i90AfyMifdUyWM4GbhJLqw92U7uUIqQ6F5G9gv6BED2ZStz7YgT9BF/AAqhrVHVrkExiInm1Wk2wIGFVHPafjDWXnKaqc0MT1qT0NAkbRy+CI4KfEWtzxMZIOwv4SFVDfec+AA6RXZO1HFOqgyiloFb0UFW9DntAEK+xz3YbNDwIxvLLPR+DwHI81vfyweDlM4FJYklEcqlqxPM1+AwNxx7C3KmqK1T1J+xGu26wWCiYK27N3Eas+dtp+V5vhzW73BD877dgSYbCHYXVZP5OdSLSCJF+iLyDtVCYiP1vpmC1TA1Q7Y7qOIIMuvEUFtANxGrPS5sUJTPYzsDUVL052H7cqJKhykeqDMDOxU7YZ2VvbHzFn0X4ToShInT0gcqdc678eDPLojlKbGDmQ7Fsdk2AH1X1JrHsZ4OAp8JurgEQkTrYWESHYM1uQoHECOBDsWEDpmM3HP9W1WlYevTCajFKVJ4wA7A075diiU/eAm4RkYlYAHgBcIKILMOa3fxNI2fYRETaY03gRmA3m2dh/QCLe7MhwfaSCLJsatjwCBH2Wxuor6qr8r2+F5bA4BTgXlV9N2z2uWG1Pc2AdQUcV0OsdmxBCfrNpWLNqz7J9/onWH/CVPKGC2gpIsdhAcCpWNOmxVg/ruZhy5yI3ajfiSU7GRC23SFYIof3ReQOrDnig5SvpsA3we/fAufHYJsiIh2xoT4iDTNRVI8G5Xkeq5luir3XWcA4EZlVSCFqYUMU9AWeU9XRYbNvzHeOQZSaORGpi30Ol4T3m1PVbBEZDdwhIouwfq49sKbaD4ads6OwfnQ/Y4PGHw9cAYwu6LNTZdhYiqHhA47HvkNWYLXwk4CZRPl8l4Ug4JowY4ZMxZrhHkOUZsAFyMZaM8wBLiluH7lYUEWxvqVzgXuDWrnQ+/53rCZ6pQiTsPd9hmrxBlB3zjlXChr0iPZp1wkbtPdPLCjJwhKEjMeSdUzFArMkrFZkW7DMk0DbfNtZgaU7H4s1gTwYqBHMa4klNvgTqzn4GOvjlRDH8qRiTXXGhb1WB0t7nojdEB0YvP4P7Al/EnYDsmfwekOsCacG0wasluKgsG1uxm5EssImxQKqSO/3B1ja9T5h2y1s2pRvG72wcfoUGFrA/zYJu0GeX8AyVwTbObQE587IYN2m+V5vFrw+Mvjfhx9LBpY580mgcdj5ET5/GXYD3zTCPg/BmtmmY00s7wje89Ry+vwkYX0n7wXeAPYr5vo1sYQMitUW/xL8vjo4zh5YX7UVQP18017YA47EsO0NwYImsEyr67Abz8FYYHcsVvvwKhaI/oWgpWe+cnXBslAqFgzWiFJ+CY77zwKOMTXYTs8I82pgteeLsM/rQizLZo2wZRKD//MSrMZuafB+1yyP/3ncJ6ihcJzCMIVFChpM3ygMVjhCQcq9nFGm6dPpOH06L0+fzo7p09k0fToZ06ejEaaMYP6OYPmO5V32aBNoA9DLQd8CTQv+JZtBXwXtC1qvvMvok08++VTVJ1GNa2uNSktEjsCCr+lYevnNwevPY8kmBpE3bk8X7Obvcay/yn2qOjRYvqWqLi9kX7WxPm53YjfwPwEHa9hT5RiW5yWsadYxGiR2CBJIbC3K+6KqoYQTm7AapBHAy5qv9kpEtgF91GobQ68tx5qkhY+VFZo3LSjDpVh/nwx2TbCSXxI2uPmyYP37sRvzDGysvufyryAi47DmdHtj79lTqjog/3IudoJar7UapbliIesuwmq1PsFqBb7VsIQ+InIjdv5F01qt6SMiMgwb47FdUPubrZZcJP8+k7HhC1Kxz01C2LwrsBo5xc61BzTfF6iI3IvVrtbDAssPVLWwfpIuGqsFPRWrBeqFBenZWE3kJOAdVMu9f2hxzJgh9bFzrCN2njXDaux2Yuf7DOx8/yo1tcBMpxVKkPnyL9j/6izsezwTO563sYHKq1fzX+ecKwMezBVTEDw1wPqb/Q04X1V/CeY1xbLsjVXVqGNHFbDtJOAaoJmq5h+PLCblCfr6NFbV1WHbEOyGIp3IfdoSsJqCZFX9PVjnL8DH+W9mw7aZAXSPEMzdp6q7DWosNg7btpLe+IpITazP4GhVXRBlmQuwscB+xVJw36P5xqpzFYeISLTzq5D1amA1exmhgE1EHgN6qGqB/VGDz8KvWD+hb1X1yHzzHgfeUdWIQ2OIyLFYTflvWNO4waoabSxDF4k1le6BBQVnYg9etgGTsQDuA/xzW6GJkIDVdoeyiLYJZs0jbzy7/6kWuzm+c865fDyYK4WS3mzGS0Uqj4g0ADZrOfZZca4kxAa+B/hOgyE6qpCaWM30egqu+S5bNh5naCDrk7AHSKuw4TUmAZ+gmn9wd1dJiNCOvMDuuODlX8gL7Gaplsv5WA9LOlUbWIM9yNlI8ft8O+dcufFgzjnnqibBhmA4HmvOdwo2lEMm1qxvCda8e26U9eNYMhHsJjoUwHUI5iyC3EQaXxOhKayr3ERogjXD7INlbE3G+oO/h/3fP1SN+6DrdbGxTbti/U3BPi+1sEAuFNgtxZJV/QosD36uxYM951wF4sGcc85VDUlY07bjsSy3x2A1XNlYU8X86eMVG5j9NCwhUHxZM/KTyMuE2CIowyxCAZxq/nHzXBUmQgo2nl0frGntXlhz/2nYOfGuKmtivNsaWEKhlljwVphM7HOiWOCZiAV0v2HjOi7GgrwfsOzQXoPsnCtTHsw551zlloz1jQ1lMK2FNacsCsVuSA8mHmNAiuyJ9XvrA3THksKkAx9hN+vvEZbUxlVfIiRhybtCtbX7Y+fnlwTBvmrukC6lcQ7wb+wBRyxkkRfsKfAwlpipuEPaOOdciXgw55xzlVcyNo5fCyxzbUlsxcaTLHB8vSITaYZlnuyNZaKsiQ1f8i7WP2oqqtujb8BVd8Eg5IeTF9iFEhEtIa8Z7mxVStIMdwZwcgyKGc0O4EMsaPQbLOdc3Hkw55xzldf9wG3YWJEllQUMA+4r0drW/609eQkuQglkfiYvwcUXlGB4CucARGhB3gOCVKyp4xryEuR8rEpRkxWtx8Zljac0bDzLSXHej3POeTDnnHOV2A/kpX0vja+AzkVeWiQB65sX6v/WKpjzNXkB3CL8AuNiTIT6WJPd3sHPFCx4moKde++r8meU1ZOwZr414lxMBUYDN8R5P84558Gcc85VYn9iSSNKawd2Uxy92ZrIHlj2v95AT6AhlhziE/IG8F4Zg7I4VyQiJGNZWkODyjfD+n7OxB4oTFJledgqLYH/UUBN9po1a5g4cSJbt27lhBNOoGPHjtSsWdQuqLv4HDixJCs651xxeDDnnHOV1yqgSbSZGzZs4OWXX+azzz6jc+fOXHXVVdSvXz/Sotuwmrn/7fKqSEMscOuNZcisDWwG3scCuCmobonFgThXGiLUADqSV1t8SDDrO4LALiuLugkJvI2NL7ebVatWMWDAAL777jvq1q3Lpk2bGDZsGBdccAEAixYt4tlnn2XdunV0796ds88+m9q1a0cr0odY8h/nnIureDc1cM45Fz8LIr0Yekj36KOPMn78eBo1asTYsWO54oor+OmnnyKtIoSaWYq0QuRWRD4DVgP/Ao4GnsNq5hqhejGqr3kg5yoKVXJUmaPKIFUOBVpj/Uk3A/cA8667jjfT06MnCho7dixLlizh4YcfZvbs2bRt25YHH3yQ9evX8/XXX3PeeecxZ84cMjIyuPvuu3n99dcLKpIPs+GcKxMezDnnXOX1ERHGtRIRZs6cyX//+1/69evHmDFjGD58OKtWreLFF1+MtJ06zJlzEyILsZvQ4VjtxQNYINcC1YGoTkM1I47H41xMqPKTKo+pchJWe33VEUewNimJpGjrPP/883Ts2JGePXuSlJREr169+PnnnwEYNmwY9evX56mnnuK1117j+OOPZ8SIEaxcGbFlcToQ8amJc87FWmJ5F8A551yJfYkFc8n5Z2zZsoXMzExOOukkALp06UKTJk1YsmRJ5C3tu+/BwHTgGaz/2y/xKrRzZUmVdcAEbIDydtGWe/rpp9l3331JSEgAYO3atWRkZPDDDz8wdepURo8eTYcOHQC4+uqr6dmzJ9u2bYu0qZ2wS18955yLG6+Zc865yms+1o9tN0cddRQbN27kvffeAyAxMZEFCxZw5plRuvE0a5aJ6vmoPumBnKuiWhU0s3v37nTo0IHExES2bNnCG2+8wdFHH81PP/3E9u3b6dq1a+6yzZs3Z+fOnaxYsSLSpgT4NbZFd865yDyYc865ymsnsDTSjKZNm/L3v/+d1157LfcmtW7dunTuHGUEApEdwHHxK6pz5a55QTNDfU03b97M9ddfz8qVKxk0aBALFixgr732olmzZuQG6p0nAAAgAElEQVTkWMJXEUFV2b59e6RN1cKDOedcGfFgzjnnKrdpRBhSQFUZNGgQnTt3ZvXq1Vx77bU0btyYvn37MnHixEjbqQN0iXdhnSsnNYAGBS0gIvz444+cd955vPfee4wfP56ePXuybNkymje3ODA7OxuA1atX564TQQ6wKYZld865qDyYc865yiwtbRZZWen5XxYRPvjgA6ZOncqjjz7KnXfeyQsvvMBhhx3G/fffH2lLCVi2SueqoqZESBYUbubMmfTq1YtVq1bx3nvvcc4557BhwwaysrJo0sRGAAkFb4sXL6Zu3bo0btw40qbWYAOHO+dc3Hkw55xzlY1ICiLnIvIibdo8Q1ZWxHTry5cvZ9u2bZx22mmANb08/fTTWbJkSW5zsXwOwRNjuappf2yQ+4jmzp3LgAEDaN26NdOmTeP4448nOzubffbZBxEhOTmZ7OxsEhPt4zF79mxatWpFixYtIm3Om1g658qMB3POOVcZiDRB5BpE3gfWA68D3fnjj3eAiOO9NW7cmPXr17N+/frc17Zs2UJKSgpr166NtEoGcHjsC+9cudufAu55Bg8eTMOGDXniiSdo3LgxOTk5ubVwjRs3ZvPmzWzYsAGwhyRffPEFp5xyCk2bNt1tW//5D4eJ8KAIxwaDmTvnXNz4l4xzzlVEIoJIe0TuQuRLYBUwDmgPjAVSgcaoXk6tWjMibeKUU06hefPm9O/fnzlz5rBkyRLGjRtHjx49SElJibRKIqHBw52rWloSJfPrihUrmD59OtOnT+e8886jd+/e3H777TzyyCNs3LiRHj168M033zBp0iTS09MZOnQoO3bs4MILL9xtW1lZZK9YwQbgDuAr4HcRxonQTWT3IUScc660JJS9yTnnXDkTScAySvYOpjbBnHnA28Ak4H/s/sV9PfAIEW5W//Of//DEE0+wfv16tm7dyiGHHMLo0aM5/PCoFXD/Bq4o9bE4V7E8C/wt0gxVZfny5SxatIiFCxfyww8/sGzZMhYuXMjkyZM5+uijufXWW3n11VepV68eaWlp3HfffVx66aXUrFkz/+a2AP1E+ATojn2OzwRSgG3AFOyz/IEqG+N1sM656sODOeecK08itYG/YDd9ZwGNgCzgEyx4ewfV3wvZytHYgN97Rpq5atWq3D4+hx56KGA3sFEy8b0MXFyCI3GuInsRuKSkK6elpTFv3jyWLl1Kq1atSE1NjbboZiyR0NehF0SoBZyKfcZ7AU2wz/hn2Gd8kqr3s3POlYwHc845V9ZE9gF6Yjd3ZwB7YE/0P8Bu7iajurkYW0wCtkKpm3HlAP8E7ivldpyraG4AHsbGgCu1Ah6GpGP98yJ2Sg360B1DXu17+2DWt9hn/21ggapnw3TOFY0Hc845VxZEDiTvBu5ErM/ySoIn88AMVDNKsYd5wFGlLOUOoBOwsJTbca6iOQzrwxYx82sMZWABY5FurkRoQ973wvGAYNkw38G+Fz5TjZ6F0znnPJhzzrl4sMf2RwN9sBu1Q4M535MXwM2L0P+tpO4JppLUzilWozAUGBaj8jhX0dwNDALqxHEf31PCjLAiNCavxr4rFhRuAt7Hvi+mqLI1RuV0zlURHsw551ysiNTEskz2wfrG7Is1XZxJKIBTXRanvTcGfqboN6pZQBqWNGUBMICwfj7OVUGCBUsPYsmFdmA15LWJzfiK24DrsP55pSJCHSyg64OVeR+s1u9jgr60qqwq7X6cc5WfB3POOVcaIvWAbthNVzegLrAd+BC76Xof1fXRNxBT1wBPELkp2XYgG6iJBW9Tgc+xpmebyqh8zlUU+wBtsf5tLYPf2wAtsCRE2cBOLACshX1uCpKONY88jAIGJy8JERKxJpi9se+ZA4NZs8mr5V/s/eycq548mHPOueIS2Q+reeuN1cQlYQkP3sVurKahuqOcSncKMJK8cbXWAF9gT/S/wPrDZZdT2ZyrDARoiAV6oWCvTTC1xGrBE7AArkbw+0Tgaqy2O34FEwQ4hLzArmMw60fyArsvVf0z7lx14cGcc84Vxvq/HUpe/7ejgzlLyctANxvVinYDJRQxEYNzrljqY0MMZGPNm3PKoxAi7Is9WOqDPchJAtaR92Bpqirl9WDJOVcGPJhzzrlIRBKBLuRlmjsgmPMVoQBOdUk5lc4553YhQj1sgPLeQA+syfcO8pp8v6dKWTX5ds6VEQ/mnHMuRKQONu5bbyzpwN5Yv5mPsdq3d1FdXX4FdM65wolQEziZvIdRzbHaw1nYd9kkVX4uvxI652LFgznnXMmI1Ac6Y302TsYyN9bEMq6tBD4F5gJfolpxE2yINAbOwm54/oIlO9iIpQN/G/gQ1W3lV0DnnCu5oJ/dUeQFdqGhExYSBHbAPNXyaSpaVAMnU+RrzqhuntTJVR8ezDnnikekI3Ar1kdjJ5Y5MSnCkplYBsVk7IbhMVTnllUxCyTSlrwbm87kDdQburH5HFUfqNc5V+WIcAB5338nYglc/sAGKn8bmKHKzvIr4a4GTqbE15xR3agY1xzn4siDOedc0Yg0B14COmEXy4RirB1K8z0HuBTV32NfwAKI1ACOJS8DXNtgznzyMsB9F8MBvJ1zrsITYR+sf11vrIl5HWArMBkLiCarlk8t18DJxOyaM6obZXvNca4MeTDnnCuYZXK8AhiFNWmJ9ES0qDKxJjEDgefjGjyJ1AJOw25SemHpxLOAGQSD7qK6Im77d865SkSE0HdmH+w7sxG7fmdOUuW3eJdj4GTids0Z1c2z+7qqx4M551x0Fsg9jo2fVCeGW04DngVuiWlAJ7I39pS5D7s/ZZ4EfFCh++8551wFIEKoNUNoOJaIrRliPVB5EMjF9ZrjAZ2rajyYc85FFr9ALsQurqo3l2orIi3Jaz6Zv//HJGA6qhWm/4dzzlU2IrQjr5/dcVg/4+XkBXYzVckqzT7iGMiFpAHPjupG6a45zlUwHsw55yITuRJr5hKPi2pIGjAQ1QlFXsOCzCPJe2IcnpktdGMxF9UKnZnNOecqIxGaYEO39MEyACcDf2IZgCcBH6pS7AzAAydTZtecUd0o+jXHuQrOgznn3O4s2ckS4ntRDdkGtEN1ZQHlCR8zqRewH3ljJlkAp/pT/IvqnHMuRIQU4HR2H5tzGvbd/K4qhY7NGSQ7KdNrzqhuRL/mOFeJJJZ3AZxzFdJLWMfzspAc7O+UXV4VqQt0w24SugP1gB3AR8Bg4D1U15VRGZ1zzuUT1MC9BbwlQiLQhbxm7z0AFWE2eQOVL4myqfK/5jhXSXnNnHNuVyKdsOxle5ThXrdjNW+rsJq33sCpWBaz9cC72FPeqahuL8NyOeecK6ZgoPLDyOtnd3Qwayl543nOViV74GTK7Zrj49C5qsCDOefcrkReAc6jeGP6lFYOsAlrogPwE3axfxv4EtXsMiyLc865GBJhP/Ie1J2CtQxbC7xz6XO0qduEE0TK9JqTDbw2qhsXleE+nYsLD+acc3lE6mO1Y7WKusoM8tqqCNAMuBT4J1CjeHtX4AHgVWCxD+DtnHNVjwj1CZrQJ9eh+5UvsWdicvG2oTk5fPnvQSz68FlqJCTS7rTLOfayB0hILNaQdOlA01HdymdQdOdipZj3Ws65Kq4z1nm92H7H0pm9DvwLeKb4m9gCfIHqIg/knHOualJlkyqvqNL3sglcIgkUu+n87JcGs+Tjf9P9non0emAqP38xkW8nPl7czezEhllwrlLzYM45F64jJcwmVg+oj0WDJwFfFn8TewT7d845Vw0kp9AhIbF4iU+yMtJZMGkEx1/5MM0OPZEGBxxGh943sHhqsUcb8GuOqxI8mHPOhTuZUma5XY6NF3BE8VdNAlJLs2/nnHOVSrGvOet+mk/mjm3se9jJua81O+REWhx1RnH37dccVyX40ATOuXD7lnTF5sHPzVgP9xtKtplmJd2/c865SqfY15xt638HYI+9m+a+1uDADpzU/8mS7N+vOa7S85o551y4Eo/z8wUwD3gDa2L5WMk2U8xu8M455yqxYl9zcrIyAKhRIybJL/2a4yo9D+acc+EySrpiC+Ag4K/AbcBDJdtMiZKvOOecq5SKfc1JTtkLgPStf+a+9svs93j67BJ19/Zrjqv0PJhzzoVbGYuNKJBZslX/iMX+nXPOVQrFvuY0bHUUUqMGq5fkpdnatHIpKQ2aF7BWVH7NcZWe95lzzoX7FEtGWazBesD6yqUDC4BRwGnF33cmNmydc8656qHY15w6ezel9Ul9+fzZW9hjr6ZoThYLJo2gfderirtvv+a4KsGDOedcuLnAdmykgWJpjg0a3hToDjxY/H1vD/bvnHOueijRNefUG8cza/xtvHNPVxKSatHuL1fQse+g4u7brzmuShAfm9c5l0ukAdbspNg1czGQDjRFdVM57Ns551wZGziZ+sAqoFY57D4daDqqG37NcZWa95lzzoFICiI3AfOxQK5Mn/JkUYN5HLVE0Jyy3K9zzrnyEwRSbwPZZbzrbGCiB3KuKvBgzrnqTKQhIkOBFcATwDLgRmBHWRYjk6Sca3jmCGCFCMNEaFKW+3fOOVduHqPss0rupMQj6DhXsXgw51x1JHIgImOwIG4Q1gn8OFRTUR0JzKHECSmLLbM2Oz+bz9GdgI+AO4DlIowToXUZlcE551w5GNWNuZTxNQeYM6ob88pof87FlQdzzlUnIkcg8grwI3A18B+gParnoDo7bMlLKcWYc8W0E7hElbmqnA+0BZ4HLgd+EOF1ETqVUVmcc86VvTK/5pTRvpyLOw/mnKvqRASRUxH5EPgG6IE1L2mJ6t9Q/WG3dVR/BwYCaXEuXRpwA6q5Yw2p8pMq/YGW2NjjXYE5InwiwhkiSJzL5JxzrgyN6kaZXnNGdYvNmKrOVQQezDlXVYkkIHIu1nzlY6ADcDfQAtU7UC1ssNTngWeJ38U1DXgW1QmRZqqyWpW/Ay2A27EauynAfBEuFPGhVZxzrgp5njK45ozqRsRrjnOVlQdzzlU1IrUQuQZYDLwO1Af+D6uJe6jIqf9t3JJbiM/FNS3Y7i2FF4MtqgwHDgT6YSmsXwaWijBAhD1iXDbnnHNlbFQ3KsQ1x7nKxseZc66qEKkP9AduAhpjg6E+DExEteRpn0UEuAIYCSRTujHoMrH+CjdEq5ErvDjUAM4C7gQ6A+uDso1R5c9SlM0551w5GziZuFxzvEbOVVUezDlX2Yk0wwK4/sCewIdYEDeDWH7ARZoDLwLHYBfYhGKsnY1dUOcAl4T3kSt5cRCgCxbU9SDvyevjqvxW2u0755wrPwMnE7NrjveRc1WZB3POVVYi7bC+ZJdiF7n/Ao+g+m2c99sRa6pyNnax3IPIT04zge3YRXgi8Diqc+NTJA7D3osLg5deBh5RZWE89uecc65sDJxMia85wbAHzlVpHsw5V3o1gH2B5sAvwOq47k3kOKw2qjd2YXsOeAzVX+K6393LUR84DugIpP5Cy85JZNZozspfgD+wsevmAl8VuZ9eqYtEC+yifzV2wX8PeFiVz+O86/2x7Ju/A8uxp8LOOediZOBkdrnmbFlN5xqJ1EhpwG7XnFHdKJNrjnMVgQdzzpXc3sD1wA1Y4JCBJeeYBZwLbIzZnqzfWjcsiDsp2PZoYBSq62K2n1IQYQaAKqnlWxIQYR9gAJbqugHwBfAI8K4qOTHcVSPgbeBILLBOxJ4OjwFGYP35nHPOxVhFuuY4V548tbdzxbcfFlRdFfxdO9/PLsCnwPHAtlLtSSQJuAC4AzgM+A24GRiPaum2XTwNgVQsgI04ztvdd9Ms+LV/hNmKBaCfAmviUL5dd6ZsAP4hwnDs/3QrFnQtFuFR4D+qpR6gth7wOVYjl4QF8iG3BNNLwINYbZ1zzrmiEewhWUugZqQF+venUfBr3yjb2AH8D/g51oVzriLxmjnniu5gYDDQC2taGfECE0gHnsYCr+ITqQP8DQsIWgALsZqlV1DNLNE2S6Y+8AZwInZMiUQJ5tLTSQaoVYudEWYrkIX1ZZgDnEMZ1loFY9KdjwXFHYCVwBPAM6psLeFmn8YyriUXsEwGkANMBoYAC0q4L+ecqy6uxh6C1cK+PyNec9LSbFiaOnXYHmU7Odh1eiX2UG9mzEvqXAXgwZxzheuC3Yh3xmpgilqjnY4FYkVvBinSAGsaeD1WC/Y5lpnyA1Rj2TywKJKx/getKThgKa4M4FfsqWu8BoeNKMiAeTpWs3oKsAl4ChipWqwaw6bAMnatjStINnbcc4H7sBpK//J1zrld9Qceg5iPH5oGdAW+jPF2nSt3Pmi4c5HVwGrgFgBTsBv/2hSvabICNxZpSZGWiIwCVmA3+58DJ6B6IqrvlUMgB9ZHb39iG8iBPSltiiVwKVOqqCofqnIqlu76Y+Bu4FcRnhahVRE3dRtRnhZHkYCdP12wpCz/w2oni5Nq2znnqrIE7OFlrAM5gDrAQ3HYrnPlzmvmnNtVTeAirCZubyCllNvbBjQhWg2USAes6d8FWJOQl4BHUV1cyv3GwutYIpd4mYIFjOVKhDZYcHY5Fqy/iWXAnBdllXpY5rTS3nBsAzYD92NjKUVqnuqcc9XFSdjDrj3jtP0MrP/3ljht37ly4TVzzpk9sRv6VcAorHlkaQM5sNqbq3d9RQSRVEQmA99iNYAjgANRvaqCBHJgzSvjqai1YHGlylJVrsE62j8KnAHMFWGaCF2Dppnhro3RrlOwIS2ewIazuBsLFJ1zrjpqRXzvS9OxIYScq1I8mHPVXSJ2E/0HVkMSi9q4cHWAQUASIgmInAN8BUwHjgrmtUD1NlR/j+F+Y6GgBC+xEGnQ13KjyipV7sIC+TuxhDcfYYHdBUESleRgXiybAaVgiWbuwc7DIcS+aatzzlV0NYnvfani362uCvJgzlVnycC72E10ChZ4FUpVGTZsGF27duXuu+9m/vz5ha1Qi6efHgsswprw7YPV7rRE9UFUYzcenSs1VTar8ghwAJZRtA7wKvDDc88xXrVoQejatWsZNGgQjz/+eFF3vUcw3QZ8QhHPR+ecc85VXx7MuersUeBkilHLkpOTw3XXXcezzz5Lhw4dePnll+nbty9ffPFF9JVEUjjjjH6IbMP6xrVF9WlUd5T2ACoCVeXLL79k8uTJu81LT0+nsvbLVWWnKs9hNXTnJCSw7owzuEQkepAVOtY5c+bQr18/hg0bxtSpU4u76z2wWtvnS1Zy55yrvlavXs2QIUPIysoq76I4VyY8mHPVVSI2RljtQpYjPT099/dVq1bx9ttvc8MNNzB8+HDef/992rVrx5VXXsmPP/4YfSP77beDzMz7UH0N1ezSF79iWLVqFYcffjhdunThjjvu2G3+W2+9Rb169bjxxhvZsaNyxq6q5KgycedOHmnShIgHEQriMjIyeOONNzjvvPOYNWsWAPfffz8AmZmZzJo1i3HjxhV8rphaQE+gbmyOwjnnqoc//viDIUOGsHDhwvIuinNlojhp1p2rSvakkDHCFi5cyP3338+mTZvo2rUrF110EX/++SfZ2dm0b98egEMPPZThw4dz5JFHMnbsWAYPHky9ehFyWCQm1gaGAu/H/lDKzw033EBKSgrz5s3j4IMP3m3+mWeeyYQJE7jnnntIT09n3Lhx5VDKmJCEBIYSJfgXEVSVfv36MW/ePPr06cOCBQtITEzk2GOPZdWqVQwdOpTnnnuOgw8+mBtvvJHbbruNIUOGkJAQdXSCTKyz/qI4HZNzzlU6V155ZYHzN2zYgIhw7bXX8sILL9CqVYXIteVc3HjNnKuuNlHAoM1Lly7lggsuYPv27bRu3ZoHH3yQ/v3706pVK9LS0li3zsYBz8nJoU2bNgwcOJAJEyYwd+7cgvbZBht4vMr45JNPGDx4MEcccQQ1a1q+lB9++IFLL72U9PR09t57b/7617/y2GOP8dZbb5VzaUvlZGzMvYhmzpzJ2WefzUcffcSYMWO48MIL+eqrr7jhhhsAGDhwIDNmzOCRRx5h1qxZPPTQQ7z++uts3Fhgd8nawG8xPQrnnKvkfv311wKnbdu2cfLJJ1OrVi2uueaa8i6uc/GnwSi6PvlUDacvNYo33nhDU1JSdPHixaqq+tRTT2lycrKOGDFCe/furT179lRV1czMTFVV3bhxoyYlJemgQYM0PT092mZzVHVqBTjuok6Loh1IyIEHHqgjRozY5bVHHnlERUQnTpyY+9q//vUvbd68ef7Vl1eAYyzq9Jna/28306ZN04YNG+ptt92m3333naqq9u3bVzt06KAZGRn68ssvq4johAkTNDs7W1VVP/vsM23QoIFOmjSpoLd3RQU4bp988smnspr6q+p2jZ9NqnpkBThOn3yK6eTNLF119ijwbyIMRfDbb7/Rvn17VK3y7tRTT+Wwww5j8uTJnHrqqdx9992sXbuWRo0akZmZSf369fnrX//K5MmTuf3220lOjpj9WIATgPZARRlLrlQGDBjAnXfeyeeff07r1q355ZdfeOutt7jwwgvp27cvp512GjVr1mTKlCncfvvt5V3ckjoc6Ai7jTdHRkYG7777LuvXryclJYV27dqxatUqJk6cyPjx41mzZg0PP/ww3bt3p2/fvtSoYY0hatWqxYYNGzj88MMBe6gmssvm04DH4n5kzjnnnKvUPJhz1dkkYDMRgrkDDzyQ+fPns3r1atq3b0/btm3JzMykefPmHHXUUdSvX58HHniAkSNH5vZ5Ovfcc7nwwgvZuXNnQftMwoZCuDgOx1PmbrnlFmrXrs2YMWOYPHky++67L08++ST9+/ena9euvPPOO4gIo0ePpl+/fuVd3JIaTJQx92rWrMldd91Fq1atePLJJxk2bBjt2rWjcePGXHLJJbz22mt89913jBw5klq1apGdnU1CQgKvvfYa++23X+528gVyYE2Ax8ftiJxzrpJLS0tjypQpLFmyhDVr1pCTk0Pjxo1p3bo1PXr0YM899yzvIjpXJiRU8+BcNXU18DgRAroPP/yQU089lcTERNLT0zniiCM499xz+ec//8ldd93FiBEjmDNnTm7tyqeffsrFF1/Mc889xxlnnFHQPtOBxsCWOBxPLC3CahGLZP78+SxevHiXi2qbNm049thjo63yK9AyBuWMp72AVRRhoNnNmzczbtw47r33XjIzMxk2bBiffvopf/75JzNnziQxMRERIScnhwMOOIDU1FRGjhwZKWHODuycvCf2h+OccxVWf+y7r8As0+np6dx000288MIL7Ny5k+TkZOrXr4+IsGnTJtLT00lKSuLiiy9m9OjR1K6du7nNwCnAN/E9DOfKlidAcdXdi0DEwWjOOOMMkpKSEBGWL1/Ozz//TM+ePQG45ppraNu2LbfeeivffvstACtWrCA9PZ0DDzywsH3upBhBUkWWk5PDQw89RIsWLejYsSOXXXYZt99+O3feeSdXXHEFnTt3pnnz5gwdOpScnJzyLm5JHIIF34Xac8892blzJ/Xq1ePNN9+kfv36fPLJJ5x33nkkJibmHv8zzzzDtm3bOOGEEyJnPjUjYlN855yrWgYOHMjbb7/NE088wbJly9i+fTt//PEHK1euJC0tjV9//ZUxY8bwwQcfMGDAgPIurnPxV96d9nzyqQJMd6tqmhbglltu0YMOOki3bt2am8Ri3rx52r59e23atKneeuut2r59ez3//PMLSoASsllVz6kAx13YVGgClLvuukvr1Kmjd911l86YMUPXrFmjO3fu1IyMDF27dq3OnDlT77nnHk1JSdHbb789/+rLK8AxFjZdEPy/CvXrr79qjRo1co/ziy++0NatW+urr766y3L777+/du/eXZctW6aqqjk5u+RV2amq4yrAcfvkk08+lfVUpAQo9erV0zfffLOwxXTixIlat27d8Jc8AYpPVXLyPnPObdr0FHvueR8RxvtSVXbs2MHUqVPp1asXKSkpua8fddRRvP7667z66qvMmTOH3r17M3jw4GjJT8IlAd/H/DjKwfjx4xkzZgyXX375bvMaNmxIw4YN6dKlC23atOGWW27hkUceKYdSlsq32P+rUPvttx9PPvkk5513HgCNGjVizZo1bN26FbBkKUOGDOHPP//k6quv5oADDgB27S+XnQ1ZWQwr/BRyzrnqqXbt2qxevbrQ5VavXh3exNK5KsuDOVd9idQAegF38thjtbjuOqhVK98iwtatW1m+fHnuTfrSpUsZOXIkmzdv5sUXX2To0KHF2WsGFsj9GJuDKF85OTkkJRUe6yQlJZGdnV0GJYq5H4D/YRktCwyxRITrr78+9+/mzZtzyimnMGXKFFq3bs0LL7zAK6+8wvDhw3Ob66rmZbHMyoJ33qHmX//KG8DDwFuqVMo3zTnn4uXGG2/k5ptvZtasWZx++um0a9eOevXqUaNGDTZt2sSPP/7IRx99xCuvvMJ9991X3sV1Lu48mHPVj0gycAlwO9AW+IVXXrmbm28eDNTKv/i8efNo1KgRK1asYMKECbz88ss0aNCAe++9F4iYVj6aHcAyoFusDqW8XX755fTv35+FCxcWeFEdMWIEV1xxRXkXt6TOBGYArSikY3645ORk/v73v9OvXz/OP/98WrZsyX333cd1112Xu0z4eZOQwI633uIR4CLgNeAnEYYD/1YtWr8955yr6u666y72228/xo4dS79+/Xbpjy0iiAidOnXi2WefjdhqxLmqxrNZuupDpC7wf8BNQDOsCd3DwBuoZmHJUPqS7yHH4sWLOeSQQwA48sgjGTJkSG7NShFtD34+CfwTG0OsMig0m2VOTg7Dhg1j3LhxrFy5kvzfJyJCkyZNuOaaa7jnnntyh3EIVIZsliF7AHcCt2Ljze1RnJWXLl1K48aNcxOe5OTk5I45F1BgJnCyCAlAn2B/nYA12LkzVpVNpTwO55yrqIqUzTLcunXr+PHHH1m7dm1uFuWDDgj4A+kAACAASURBVDqIJk2aRFp8C5CKZ7N0VYwHc67qE2kC3AhcC9QDPsGCuKn5oo82WIC3y4Vk48aNjB07lq5du9KpU6fi7DkNyAz2NRZLi1yZfAMcUdSF582bxw8//LDLRbVVq1YFDU2wFKsZrUz2xB4I3I2NPbfbkBbRFFKDmwb0AD4NvSCCYDcedwJnAFuBccAIVVaWoOzOOVeRXQGMohjfq8W0FTgGWBKn7TtXLjyYc1WXSGvgNuBy7Mb7DeARVOcWsNYUoCulG7ZjG/YEcDBW21fgKOIV2EtYk78itSEtgUlYDVRlVBN7b4YAe1P6m49FwKFYDd1uRDgCuAO4AMjG/jePqrK4lPt1zrmK4lhgGvEL5nYC+1B5Wsc4VyQ+zpyrekQ6IvI6lrzicuB5oA2q5xcSyIEFYCXpn6TYBWIx9nSxBTCeyhvIgQUM8brobQNeiNO2y0IGdl4dAFwMfIe9VyV5OrYNuLegdVX5VpWLsH57z2DNgReJ8LYInUuwT+ecq2i+xr5b40GB6Xgg56ogr5lzVYO1X+uKNUk7FWvS+BQwEtXCcxjv6mugYxGXzcYCtvnAfViijKryoUrELn5HU4w+DEWQjmWI/H/2zjQ8qiJrwG91QlgSICyyJYDsMCwKoqCIiCKKCsqIwuAGKIMbLqCg48yIu6C4gIgsCvKJIoi4gqIiOirICKiMIKKyiCyCsiWBbH2+H9UJWbo7fXtJupPzPk89kKRv1bl1T59bp+rUqTOJbWe3KGcCDwDdsSt3xc+68M5vQFMIPHOlMZwAjAZuAWph99tNBJaKlBv9UxSl4jEIO9EXzneOYEMsz6ScHAukKAVRZ06JbYyJxxr/cUBnYBfwFDATkcNB1toTG27pL8lFFuD2fG4C8G2QbUU7VbErQZdh9/8JPsIu09JIBEhK8jrzmWdoKgPvACOwK1LlkQ7YlbYB2OiHBD+fTQdGAq8G05AxJAHXYROzNMY6yZOABSJkB1OnoihKGTMAeAwb+eBzwu/IEfvOqV7d72pbFewE7c3YCApFKXeoM6fEJsZUBYZj98Q1w4ZUTgLmIxKO1Z4HgTEUd+iOYR2Tl4FHga1haCsWqIzdOF4bH+HZI0bwIMCLL/IvL38W4ACwBntEQ0WgMXaleITn56IzzRnAm9hjMkIyxMZQCRt6OQ7rTO7AZoWbLaJhRYqixCSp2KgFrxNil17KUwBvvskdPq7PwCbaOhAR6RQlSlBnToktjKmNnWEbDZwArMaGl72NiNvfpU5bwg6Mx2MdmQTgIPA8MAXYF8a2ygXGsBJAhLPLVpKoozY2HPIWIBk70+wCXgDuwEF4ZUl4MmBeiNXbnsCfwLPAVBH2h6sdRVGUskbfOYpiUWdOiQ2MaYxdKRsJJAJLsU7cf4odbhZe4rBnoe2l/IYFhgV9sQZETSAF+JkI7xf0JEYZD1yCXQ19AZgswrZItqsoilIa6DtHUSzqzCnFMSYZOB2bBKQXdvCZgN0n9hv2LKyvgVWIRPYQY2PaY1fI8lLkv4o9XkA3MZcxo5dRSE8O7+V0VxyupLpso4ieTO2nh12XFcbQDrgLG87pAl4DJolEfp9nUR3Bjy1RHVEUxR/6zlEU76gzpxzHmK7YRAqXYlcNqgGVvHwyGxuLXhm752dyACn/ncpyJnZV4WJPW7OApxDZHtZ2FMeMXkbQejK1H+HVEyVgjCEVuB176HkS8AF2dXtluDNgqo4oihIu1J4oin/UmVPAmFRsQo9TsUYw0JTqcDw1/xrgakR2hiCHC+u8jQfOAPYDU4FpiPwRdL1KWBi9jLDpydR+BK8nSkgYQy3gRuA2oB4209tE4E2R0PbvqY4oihIu1J4oSmCoM1eRsWezDcM6TAl4n+kKlGxs6NRoYK6jfWzGJGDDKO8C/gJsAyYDLyKSEYJMShgYvYyI6cnUfnomWllhDFWBa7EZYVtgs749AcwTcbafT3VEUZRwofZEUZyhzlxFxTpyT3I8oUi4SMeGRI4p0aEzprqn/TuwKYi/xR4vsBCRnDDKpASJ56UaUT3Rl2vZYgxxwF+xK+KnAHuAp4HnRThU0vWqI4qihAu1J4riHK/nRSnlnMg5cnjqG+mp31f79THmYexZWJOBLUA/oDMir6gjFx1E8KUKgeiJUiqIkCvCImwoUx9gA/bA3l+NYZIxNPJ1reqIoijhQu2JogSHOnMVk2FExljmYY2mMcML/daYFhgzHdgO3AN8DHRD5BxE3o/wEQOKc4ZRCnoyehnDS/ykEnFEEBE+FqEvdoVuKTbpwFZjmG0MbbxcNgzVEUVRwsMw1J4oimM0zLKiYZOd/EDkjGVB0oC2QH1sCNcgIAd4CXgCkR9LQQYlCDwbz0tVT6b247dSaEtxgDG0wDp0wzmeIW6iCF+pjiiKEi7UnihK8OjKXMXjZeyG4tKgCjZkay1wAfA4cCIif1dHLuopTT2p7GlPiTJE+FmEm4CmwMPA2cBqY1iZcZClIqojiqKEBX3nKEqQqDNXkTDmVOy+mFAyQzkhHkjGZqRqgsjdiOwupbaVIBm9jNLWk0rAaZ6zhJQoRITfRfgX1qkb06Ad7SpVoaMxqiOKooSGvnMUJTTUmatYjMHOSJUmbqAuIiVmxVOihrLQk8qedpUoRoQjIjz110msjE/AXcrNq44oSvlE3zmKEgK6Z66iYEwysBsb+hgQK4Henv/XBE4D7gN6OG/9GNAQkYPOL1VKk9HLcKwnh/duY97wZsV+f+rQ++h21QQnzR8DGk7th+pJFBOMjuz8biVv3t272O+TU9tw1cwfnDSvOqIo5YhQ7UlCYk3qtz6N04beR8P2jkcnak+UckF8WQuglBqnA5k4MJh57AB+ByZinbvVQBdnVWQC3YH3nbatlDpB68llk7+kduN2+T/HJTiuQvUkNghaR4bN20mlKsfzGxhXnNMqVEcUpXwRtD259qUdHD34O+sWTWTJPb0Z9ORq6rV0NDpRe6KUCzTMsuLQlSCzRNXC5il/DWiPzWLikGqe9pXoJ2g9SahancpJyfkl3rkzp3oSGwSvI4k1C+lIQrXqTqtQHVGU8kXQ9qRyUi3qtTqF8+95jdpN2rN+sePRidoTpVygzlzFoRchrsQaoD/wpfNLK2Gz4CnRT8h6EgKqJ7GB6oiiKOEi9LGJMTTr1p89Gx2PTtSeKOUCDbOsOKSEo5JUYG9wlzYKR/tKxAlaT14fewbGdXx+6Iqn/0tySiun1aieRD9B68jca1Lz/9+s+yWcN/alYKpRHVGU8kNYxiaJdVPJOBjU6ETtiRLzqDNXcQjL+S0m+EtLO1OVEhxB60m/e18nOaV1/s+JdYJ6R6ueRD9B68igyV8SX7kaQKG9cw5RHVGU8kN4xiYm6NGJ2hMl5lFnruKQFY5KdgENg7s0MxztKxEnaD1JrN2IGvVPDLV91ZPoJ2gdSTqhCQlVk0JtX3VEUcoPYRmbpP+xi2q1gxqdqD1RYh7dM1dx+C0clbyHDXAPgl3haF+JOGHRkxBQPYl+VEcURQkXYbEn2/77HikdgxqdqD1RYh515ioOnwLZwVx4AFgPXAlsAu5xXkU29tg6JfoJWk+yjh4hM+1gfsk6mua0CtWT2CBoHQkDqiOKUr4I2p5kph1g38/rWT7pSg78uolTrnA8OlF7opQLNMyy4vA1kIE9/9sRTYBk7IrcKqCN87YzPO0r0U/QerJ47BmFfj6h5SkMnuLosauexAZB60gYUB1RlPJF0PbkpWubUDkpmUYdejFo8ipqpToenag9UcoF6sxVHFbhcKPv2YCEp+3K2LPGlejHsZ7UqH8itywNi6aonsQGjnUktdPZqiOKonhjlbipYhzEiak9UZTCaJhlRUHkIPAmkFvKLecCSzztK1HO1H6UqZ542leiGNURRVFCxRiMMZzz7IUs2PIZld2lbE3cubDzO3Y9e2GwOd0UJXpQZ65iMZnSz9yU6WlXiR1UT5SSUB1RFMUxxhBnDIOAr4CPgZO3fsU04yKjNOUQNzlfvkAjYKMxvGUMZ5R4kaJEKerMVSREvgbWUHrJC7KBNYisLaX2lDAwtR9loidT+6F6EiOojiiK4gRjqGIMf8fmUVsE1AZuAE78cSW3GFO69iSuEp//voUmwAPAmcAXxvAfY7jYGB0bK7GFKmzF42rCdK5LAGQCV5VSW0p4UT1RSkJ1RFEUvxhDTWO4G9gKzAAOA1cAbUSYIcIxz0dL3Z6IsE+E+7B53m73/PsO8J0xXGMMlUpJHkUJCXXmKhoiO4HRQHqEW0oHbkWkrM+kUoJgaj9KVU+m9ivzs8sUh6iOKIriC2NoZAyTgF+BR4ENQB/gVBEWiRTec1uW9kSEdBGeAVpinUoBXgJ+NobbjSEpwjIpSkioM1cxmQvMInJGMx2YhcicCNWvlA5zKQU9mdoP1ZPYZS6qI4qieDCGNsYwG7sSNxZ4DzhFhL4ifCziN0n2XMrQnoiQLcLLQCfgIuw9PAXsMIYHjOGECMmlKCGhzlxFRESAMVto+U461cJdu3XkYEy4K1ZKl6n9EOxzjMTLVfWkHKA6oigKgDF0M4Y3sHvirgRmA61E+JsI6wKpI1rsiQgiwlIRegGnYw82/xew3RieNYZmYZZNUULC2HG9UtEwhuoG9zejeL7mc9xcxUAChBQfngvEAbMRGRkeKZVoYPQyDDAsJ4uZxkV8XGinU2Zj9yvcqqst5Yc8HRFhijuXxLh4TLB1iZtc4+IoqiOKEtUYgwEuAMYDvYADwDRgqgi/B1tvnj0BpmDPggtlbBKWd44xtAXuwoZhuoCFwCQRvglBNkUJC+rMVVCM4SVsQoFegtkG/B9wGtZwxjmoKhdrKP/rubYD0BmRn8IqsFKmGEOHxLp8e+nD/FarMXVwqCduN5KbhXHnsLZyEpfo/qfySWonbjv1Sp5u1J5MVxzxOLQlOVnw+xYkbR+dPpjIpkjJqShK8HgSgwwGxgEdgZ3Ak8AsEdLC1c7oZaQS+thkDXBVuN45xpCCTZYyCqgOfABMAj4pIYRUUSKGOnOxTxzQGNhNgOc+GcPfgFeABzyZnPL+0BUbgjDQU1c1vM+IZQMZWOO6BHgSka8xpjHwHfAjcCYi/tIMu4Cmnv/vpPRSEitBYAxvA2cBLW5ZSjMc6klOFu8sGU/fvZv5rwjnlZbcSlhwASlALeB/gNvbh4yhCrAZ2HfDm9wYn8AdOLQl373Nu589z3zgURH+EfY7URQlaIwhEbgOa/+bAhuxjsyrIpHLRDl6GUGPTTzHqIQdY0jGHq1wO1AfO6E9CVhSNLmLokQadeZil6rAVOAarAEzwEfYmbIffF1kDCcC3wLfA2eJkOPlQ8lAd6ArcPZWTjy9EtmuVH7bCuwCVgJfA6sROVjk2kHYM2QeQeReH2IMAp4A6mEHhhnAP4AX8TFQVMLKFcBNwF+An4D3geeA/d4+bAw9gc+Ae0R4LO/3o5dRSE+ARtiXaCZF9GRqPw4aw23A00BfET70IVsK9qV9PnCiR77pwEzQWc8yoA/wKnbw5MbampnYs5kKHfJrDHdgZ+f7iPAxONcRTz0vA3/F7rfRFVxF8U4NbCp9g51kiZh9NIa6wC2eUgf4ApgIvCdSeu/sovbk8B5Od8XjSqpLsbFJnj2JNJ5JrGuwIZgtgS3Y8c28AscuRKRprC2NZBtKjKDOXGxSCxs6kIJ16vJwYwdJ/8YOqgoZWWOIx27k7QCcLMLWQBozhpUAIpwdkHTGzAZGAOcgsrLAX1zYePqrgcQiV6UDH2IdDV2liwwGeAS4FQplvjmKHQhMxs4s5ofJePZEfIGdhW0lUngA76hxQ2XsRMMBoGuRQUBtrN7+HasnlQv8LQN4GbgRdfZLk1uxKcWLZkk6CuwD+mNX4jGGmsAvwNcinB9Ko8bQrF49Nl93HZ8/8givAAeBz4E9odSrKOUAF3AhNhlHZ+xA3oW1qcPATqKEC8/k7xjgeuxY423sPrEvwtlOsDgem0QQY4jDrhyOxzqbe7GTl8+LhNWxNNgjHMYDDbHjpU3As9iIq6Df0Ursos5c7OHCGuzTKTzgLUg6sB64nAIDIGO4D5gAXCnCK55fx2Hj0RsCXlNbjBplQzFnzOB+H+0dAdaCZ8OzMUnAOqzxPwmRPz1yv4hdlSvqyOWRAXyCNYjq0IWfYViD76//s4F/YldfsozhEuBN4O8izApVAGO4EuuYDRXhVayO3IFdmY0Dqvi4NN3zmSmhyqAExNnAUgpPFhVEsE7dGGCmMTyEfT5dRFgfYtt3ZmXxaGYm8YmJHHW5yMbauu3AAqw+foOu1CoVhwTgb8D92JUxb+eeZQB9IXRHyxg6YZ2Fwdjv2cvA4yJsDLVuJ2Jgjwhohr3/YgQwNsnARiEFNHEdDjwToL2x/dcXOz56HnhahF1haOJRik/IwvFJ2NnAM8C2MLSlxAjqzMUedwAP4ntAnkde7PiVwHvG0AMbKjdfhGuwhvIBrFEw+BkYpafbthITfaYKFuwg/BtPez9jzCnAKuAdFi68nMsvn4sNnSpJ7gyss/pX8BICqgRLdezexBoBfDYNSDt2jDGJifzL7cYFdPAakusQY3AB6+LjqX7kCI9XqcLDWN0J5IyMdGxY0Z+hyqH4pR52BbVWAJ9NT0/ni5QUeh46xJsiDA2x7X7A6/jWh6wC5W1sSPcKNNRIKZ8kYaMV/oGd0Cjp8Op9WBvp+PvgcUJ6YZ2QC7DvgZnAUyLsdFpfiAwHHsPagVzwnh03wLFJ3kTQdYTB0XWCMXTGbn25Ansf/4d1in1uhSmB84HF+B9HZWLv+z9Yx28lOvFV7lFnLrboBKzG92y5NzIyMlhUty69jx4lB+gswmHsCscISnaunODGDrRPAXZgzF24XJP45ps1dOzY3kFbGcBy7MqiOnTh4WHsREDAupOdTebPP1P5rbeYMH68z5lPp5gXX2RCnz78u0EDshISvM+4+uAYMAO74VyJDC7sy78bPmbDi5KVRe4ffxD36adcOmQIb4XQdjw2kVPdAD8v2FnvBOBL7N6+d9FwTCX2qYe117dgHZlA353p2L1b0wNtyDPBdinWiTsN6xA+AzwnwgEHMoeLkdjwxHAfgpsOnAt8FeZ6S8QYmmMPUB+BdS7fAiaKsNphVd9hs4cGgmDveT/WqZtP5A5jV8oYdeZih6rYuOi8Dc8Bk5lJ7m+/ETd3LkMfeIBXsZmXtuM7TDMUcrCJWcYwc2Y8J564kx496pPo2GfMAJZhwzw0M1Ro1MeGmTiZBMhHhHRj+BYbpx/Q4a8+6AlME6G5JytaMBwF2gC/hiCH4pt7gXtwOMnjdoPLng13L3YgFsyL5Tzsqlwgq8feSMc6hNuwjt1b2GRP+pJTYoXm2FW4Kz0/+wo798ceIJUS3puePcxXY52/1tg9r08Ac0U4GkS74SAO+AOoGaH6V2JDIMsEY6iHfY/ejI18+AybSGZZAMcanIrdhhLMuzMNO27MC8EstbBTpXRQZy52mA0MJcgBuduNeAZb92CX4Z8k/DNfeezFvkwW4HZfiMsVlMxYh+5d7H2rQxc8s7Av7VCc97zkOh8AdwI/O7i2A3YluBuh61w2NszkbyHWoxTnDGxG3GC/r2AdqlXYSRin4bCzsDPXrhDazyMvFDMT69TNwYZY6QtPiUY6Y/ez98U6NKEckp2GDSlc6O2PnmRFo7ARDg2x++snAovDEUofIj2B97DbAiJBJnACdkW/zDCGJGxSmTHYo6U2YJOPvSbiM1/AIuz2k1DsYxb2Xf45Nox1BWoTywXqzMUGAzieHjxU0rGDrMZhqMsXgt3Pch6hy5yBHYxdhWYyDIaW2BdFMDO83sjxlP/DhuX4C8Opj50FHIB1JMMxSAe7OncqdmO7Eh5qY8+I8xriKCIYY/L/LYFM7GDpEmz4YyAYbAKlQEMsneDG6sx/sHbkjwi0oShOyUuU8SDWmQunjfwRaEuBgboxNARuw2YFroHdmz4R+CiKDrsejo3sCef2j4IcxiaPK81ELj7xHL7+N+y+uvbADmxW6RdECoVE1sNGU4XrPZ4XgvknNgRzHpoFM6YJl+FQIkcj7MC5RKcoQMc80VNnpAnIkTtw4ADbt2/395Fq2EHhXFRfg2EyPrKUBkk89oVyNfYMuLY+PtcR6xwMxK70OHp2x44d45133mHHjh2kpxcL86+MdRKV8GCA1/AzG57nwAXgyIF9PnWxq3z3Etiz70gJK4KrV69mwoQJLFq0iOxsR8luXVi71xu7XybOycWKEgF6YCfZ3sauiDu2kSXQCLs/DGNobQwzseHHd2GjK7qK0EeED6PIkYPwOrTeyEuIEhWIkC3CPGw+hP5YZ+4ZYLsxTPCc7wfWAfeJ223nuY8ePcr777/PggULSmraYJPpNMGG1v6GTXqjxCi6MhfduLDL4V0pIewiKyuLhAQnuSTKHhFhwYIFjB49mvPOO4+aNWsSFxfHs88+623QmI4NM7gOXaELlFOwMfkBTQQEOFAvSF7Cm07YxBV5pGI3aifjcH8nwO7du7n++utZu3YtycnJdOnShVdeeaXoxzKwmb0+d1q/UgyfGXK//fZbXnjhBfbs2UP16tUZNWoUbdu2pUaNgLe1pWOPLRkAHPLzuX9hHT+vA61//OMfLF68mMaNG/PTTz/RuXNnZs+eTZ06dQKVI480bFKJl5xeqChhYjA27NdROLOI8Nhjj7FixQq6du3K5ZdfTpcuXXx+/tAhNiQn8yM2NC/L0+ZkEX4KQfZIcwN2C0good7+OISd1An1+JSIYQxnYKNeBgBHq1ThxbQ0ro6L872XeObMmbz55pscOnSIvXv3MmHCBK666ipycnKIjw94LvcoNvnM/JBvQil9RERL9JbxIpImPti0aZPcdNNNcs4558hVV10lL7zwghw7dszXx8PO7t27ZcKECZKdnR10HW63W3r37i2VKlWSXr16yUcffeTv42ki8oKIGCn7ZxMLZZWIuL115Pfffy9LliyRuXPnyubNm/OfRRAcFZFxRdq9W0QCVsTc3FwRkXw9ysrKks2bN8vmzZtlyZIl0rJlS3nyySeLXuYWkW9FdSHU0lVEMrw9l/T0dKlXr5707dtX+vXrJ2eccYa4XC4ZPHiwfPjhh05szTER+Z+IJPiRY6Ovi3fu3Cm1a9eWGTNmyMGDB2XNmjWSmJgoCxcuzP/M8uXLZdKkSfLll18GIs9sP3Jo0RLJ0kl8fN/8kZubKzfccIM0a9ZMxo4dK02aNJFWrVrJF1984fOatDSRrl3lMMjDIPWj4N4DKTcE0z9F8TM2OSginaPgPkssIH8BmTNkiOQcOuT7Xt1ut/zwww/St29fqVatmvTv37/QuzwrK0s+/PBDWbJkSSBdd0j822ktUVrKXAAtPksXKcGoNW7cWC644AIZOHCgDBw4UBISEqRLly6yaNEi+fPPP/1dGhbWrl0rxhj55ptvHF1X0NAsXLhQevToIWeddZasW7cu//c5OTm+Lk8TkZmig/iSynniYyLg+eefl3bt2kmVKlWkbdu24nK5pFevXjJnzhzZvn27r373xxdF2v480As3b94skydPLvS7zMzMQj+PGjVKhg4d6u3yNBG5RMqmf8tDqSkiu8SHwz9lyhTp1KmTHDx4UNxut+zbt0/mz58vJ5xwgjRo0ECmT58uBw8e9HapN9JF5DEfctQXP87/nj175KOPPsp3Hnfv3i1du3aVRx55RNxut9x2221Sq1YtOe200yQ5OVnuuOOOkmSZ76dPtGiJZHlWRAKa/Tx69Gj+/3fu3CkNGjSQp556SkRENmzYIP3795fWrVvLjz/+6PX63FxxZ2bK0ii4ZyclLM6cn7FJzDhzeSUzUzb5u9e88dRLL70kbdu2lenTp+f/bcuWLXLuuedKvXr1JCUlRVJSUmTFihX+qjskIheU9T1rcV7CuZdGCR+J2KQfPje7vvLKK8THxzN79mxSUlLYv38/Gzdu5P7772fo0KHccccdjBs3jjp16iASVAgdw4cP9/v3P/74A2MMN954I/PmzaNly5Yl1llQltdee41p06YRHx/PpEmT6Ny5c/7nDh8+TJUqVahatVi0RSLHs1vehGZi8oYLeBYvYXO5ubncfffd3HPPPQwYMIC0tDS2bNnCnDlzGDFiBD179uT+++/n7LPPBgIOvyx6oOw27J4Qv2zatImLLrqIuLg4rrjiClJSUli/fj1Tp05lypQpVK1alffee4/XXnuNu+++21sVidgsme+h5xE6xWD34tbCRyhscnIyO3bsYMeOHXTs2JE6deowdOhQLr74Yq644gpuu+02jh07xu23B3TsXzVsCI+3B3khNkup1xDL+vXrU79+/fyfFy9eTGZmJqmpqbz88su88sorjB8/nrFjxzJ79mz+9a9/ce2113LSSSd5qy4bu5dTUcqCDpSwh/n7779nwoQJHDx4kPPOO4+hQ4fy559/kpubS7t27WwlHTrwxBNP0LlzZ6ZPn859991HzZqFs/m7XJiEBHoDLXCWfTjqicTYJEo5JSGBJv4+YIwhMzOTTz75hOTkZC699FIAduzYwbXXXktWVhZTpkyhd+/eXH/99Tz//PP07u3zdAZB36UxiTpz0cnzQB387Ddq3LgxBw8e5McffyQlJYW6dety1llnsWzZMh5//HEeeOABduzYwauvvuokC10hSkhMAkCvXr0A+Pvf/86KFSv8fragDAsWLCjkyJ166qlkZ2ezb98+nnnmGZYvX46I0KpVKxYtWlS0qkRsAo59wL8d3VTF4Ap8JLlZt24dNWrUoFOnTrRta3OXdO3alcGDB7N8+XL+/e9/07dvXx5++GHuuuuuQHTmKMUzFn6OTXzid6/eokWLMMawdu3a/D1YCQkJLFy4kPXr13P06FGSkpI4/fTTGTx4sK9qagPXAC+WJKhSiL8D5+Bnwqh9+/YkJibyyAsYAgAAIABJREFU7rvv0r59e1wuF1lZWdSoUYP333+fMWPGcOedd1KnTh2uvvrqQNpMxjpsmUV+/zfsZnyv5ObmEhcXx6RJk/j55595/fXXGThwIKmpqdx44435jmV8fDw9evQgOTmZVatWcdJJJ3mze8ewWfwUpSz4Bejl648//vgjgwcPpmnTprRq1YpHHnmEzz77jIULF5Kens6+ffsAm/CidevWjB49mhkzZnDRRRdx7rnneqsyDntu3XWRuJmyItxjkyhmHH4StuTZt//85z9s2LCBc889lwYNGpCWlsbMmTNZs2YNX331Vf7eyrZt2/Lxxx+ze/duGjZs6K3KeGBXRO5EiSxlvTSopVi5TGxIkk/cbrf8+OOP0rRpUxkxYkT+7wvGhy9YsECSk5Nl+PDhpbqPzhcFQyvnz58vPXr0kN69e8vXX38tInZ/zrx58+Qvf/mL1KpVS8aNGycTJ06UU045RS666CJf1WaISFsp+2cWTSVBRPb46rCcnBw57bTTZMSIEfmhrDk5OfnPZ9++fXLXXXdJ48aNZcaMGb6qKUiGiNQtIkNN8bPXU8Tq6qBBg2TkyJGF9PbFF1+U5ORkee6552T8+PHywAMPyL59++Tw4cNy4MABX9X9ISJVpWz6OxZLJ/FjY/bv3y+7du0SEZFnn31WjDHyxBNP5P89Lwz2yJEjcvPNN0uHDh3kl19+8VVdQXZJ8fDoKmL3XfolKytLJk+eLLVq1ZJbbrlFcnNz5ZlnnhFjTKEws507d0qtWrXk5ZdfFhGv+0CPiEiclE2/a9FylVgd9Mrrr78uSUlJsmmTjax77rnnpHLlyvL000/LJZdcIhdffLGIHH/XHzhwQCpVqiT33nuvv/d8hojUi4J7D6SEJczSD7EUZllPArCNIiJ33XWXdOrUKX88tWzZMmnevLkMGzZMROyey+zsbHnkkUekWbNmkp7u0/zvFt3CEpOlzAXQUqjUF5HDEiBLly6VypUry+DBg/OTSOT9m56eLk899ZQ0a9ZMvvrqq0CrjDjz58+XM844Q8455xxZv369iIikpaXJo48+Ko0aNZLOnTsX2rc1f/58adeunezcudNbddkislDK/rlFUxktPhypPOdt2rRpYoyR6667rpAjlff3/fv3y5AhQ6R169Yl7b3MEJFHfcjxLylhUuKee+6Rzp07y4YNG+SXX36ROXPmSPfu3eWyyy6TjIwMWbNmjTz//PNy4YUXSpMmTaRt27Zy4403yu7du4tWlSYi90SgL8tjSRCRX8THPrk777xTOnbsKC1btpQrr7xSPvvsM5kwYYIYY2TYsGHFnKPly5dLUlKSrFy50lt1BTkmIhO9yHOB2H0axThw4IAsWrRIDh8+nK+bN954o7Rv317WrVsnffv2lZNPPllEjuvuxo0bxRgjS5cu9SXHIgd9pUVLuEtV8fOOf+qpp+TUU0+VjRttPqAffvhBunbtKueff75MnDhRXC6X7N27V0TsBIeIyJAhQ6RLly7+9q8eFd/7VaOtqDN3vPxb/PRFni3esGGD9OrVS6666qr8348fP15q1aolGzZsEJHjztyAAQOkZ8+e+b8rQroUT2amJUaKntsVXTyEnyX11157jWXLluX/fPbZZzNp0iRWrFhBt27dWLNmDS6XfaTVqlXjyiuvxO12s2rVKiDgc+iKkZ6ezuLFi3n44Ye59dZbueWWW3jwwQdZsGABR44cCbieBQsW8PDDD1O9enWefvppTj75ZDIzM3n11VeZOnUqHTp04Msvv6RJk+Mh4mvXrsUY4ysVejw2Lb5iqY6PFPMAcXH2eK2bbrqJOXPm8Pbbb9OiRQtmzZpV6O916tRh7Nix5ObmsmnTJn/t5WAPHPXGk9h02D6ZMGECNWvWpE+fPvTq1Yubb76ZPXv2cPbZZ/Pwww9z8cUXc8sttxAfH8+4ceO46KKL+Oabb7juumIRQ4nYtPa1/bWnAHa/aT28hHDPmDGDefPmcfPNNzN48GC2b9/O008/zaBBg5gwYQJvvfUWLVq04J133skP92rZsiW1a9fmjz9KPIf7KPaA4qIMwkeI5Q8//MCQIUPYtWtXvm6edtpp/Pnnn6xatYqtW7fSv39/AHJy7DaPTz75hKSkJGrX9qoKh7Hn6SlKWXEUeNrzbzGaN2/OunXr2LNnDwBt2rQhOzub1NRUunTpQnJyMg899BBw3F4PGjSIDRs2kJlZNHo5nyrY4zh8hjLHKuEam0QhlYDb8XNEQ174+AcffMD+/fsZNGgQAFu3buXLL7/kpJNOokOHDnag73Kxd+9ePvnkk/w9dXljxQK4gFnhvxWlVChrb1JLfnGJnTXyybx586R9+/Yyc+bM/N8dOnRIpk2bJieffLJUq1ZNxo0bJ7t375b9+/fLr7/+Kq1atZJnnnnGX7U+OXr0qIwaNUqqVq0qLpdLqlatKg0bNpRGjRpJtWrVxOVySeXKlWXEiBGSkVHyZNpPP/0kAwYMKJRh6vvvv5fmzZtL9+7d88O38laL/ve//0mXLl2KrSAV4Rsp+2cXLeWf4mMmb968eYVWNw8fPiyLFy+W888/X5KTk6VNmzYybdo02bJli3z++efyyCOPSPXq1fNnf72QJiJjSpBnlPgJKRKxYXFvvPGGTJw4Ud59911Zt26dDBw4MH8laMeOHYU+v2zZMklJSSn2e4mt2eeyLJ96ew5ZWVly5ZVXyqhRo/J/N2fOHKlatar873//k82bN8vcuXNlxIgRYoyRM888U3r27CmnnXaadOrUyVuVBckQm121qCxGRPb7uujTTz8Vl8uVv0ohIjJ+/HipUqWKfPjhh1KlShX59FN7O3krc7169ZIePXp40w8RkUwRqeGwv7RoCXepI35WXN5//33JysoSt9stGRkZ0rp1a/nHP/4hIlb/K1euLN9++23+51euXCkpKSny/vvv+6pSxNrh4VFw7yWVgFbmQhibxMrK3KUSQJTW7t27ZeDAgXLhhRcWik5ISkqSOXPmiMhx2zhx4kSpXr26rFq1yltV2SLyUhTct5YgS5kLoCW/NJISzuZavXq1VK1aVVJTU2X48OHy008/5f/tk08+kdtvv13q1KkjderUkZNOOknatm0r7dq181elX66//nqpX7++PP/887Jt27Zif//1119l9uzZ0qBBAxk+fHhAdRaN67/66qslNTVV/vjjDxE57silp6fLZZddJrVr15atW7eKiM/9L9dJ2T+7aCnF4g/zGD16tJxxxhkyY8YMOXLkuH/1ww8/yLPPPiuXXHKJ1KhRQ6pVqyZ16tSR1q1bl7Rnbq+IVC5BnngR8Rof643Vq1fLCSecICeffLL897//zf993ssoOztbRo4cKR07dszXlyIcFo33L6n85qv/H3jgAenVq5ccPmzHEBkZGdKsWTNp3bq1tGzZUtq0aSPPPfecfP/993LTTTfJlVdeKffdd19+2JcP0kVkkg9ZOomfvZXbt2+Xrl27yg033CB79uyRWbNmSePGjeXaa6+VTZs2SXx8vHz33Xf5n//111+lUqVK8thjj/ma/FkVoT7VosVpmS52csEvGzdulLi4uPzzE3/++Wfp1KmT9OnTJ3+bwrx586ROnTo+jygowItRcN8llYCcuRDGJrHizM0rqQ9EbG6E+vXrFzqH9euvvxaXy5V/fmxefzRr1kyGDRvmKxw3Q0Q6RMF9awmylLkAWvKLS0R8LoOIiKxYsUKMMXL55ZdL165dpWfPnoUOzv3zzz9l9+7dMmXKFLn77rtl1qxZvmaoA6JmzZqyePHiEj+3ZMkSqVGjRkB15jlkbrdbNm3aJCkpKTJr1iwRKbzf79prr5WqVavKG2+8UehvBcgRka0iUknK/tlFQ6kufvQnbyWjUaNG0qdPH3nxxRcL9emuXbtk9+7dsmzZMnnjjTfkt998jvlFrBN9VYByXSYlrM6JWMehZ8+ecumll+Y77zk5OYXOnFuwYIE0bdpUJkyY4KuaoyKSEqBcFbV85qvz3nnnHUlKSpKPPvpIREQ+/vhjadu2rTz22GPy6KOPykUXXSSVKlWSV155xVcVRckWkfVinXpvstwmJWzwf+211yQ1NVVSU1OlRYsWMmTIENm5c6d89tln0qBBA1m+fLmI2Jn68ePHS7169fKTRxQhXex+0rLufy1aEJEmEkByizFjxkiLFi3kyJEj+fZ67dq10q5dO2nYsKGMHTtW2rVrJ1dccUUgic5WRsF9l1QCcuZCGJvEijPn004XxO12y5tvvin79u3L/92bb74pJ5xwgnz44YciYqNw7rzzTqlcuXL+HjovrImCe9YSQilzAbQUKgvFj4F/++23Zfr06ZKTkyMLFy6UCy+8UDp27Ch33313odWWAPB5IndBGjRoINOmTSvxc9OnT5f69es7aV9E7Cxj/fr15e23387/3ebNm2XQoEFStWpVmTZtmq+sS7kisk9EmknZP7NoKY3Fj+5s27ZNjDFy7bXXSv/+/aV9+/bSv3//gF6IXvhJ7ORDIHIZEfm+pAo/++wzqVevXr7zXpC0tDQZNWqUuFwuufrqq/2F3B6W2HhRl2W5WPwkplm/fr38/PPPImKd6S1btuT/bdOmTTJgwADp1q2bpKX5TVaaxyGxeulLlid9X3qc7OxsWb58uaxcuTJ/lXbPnj3SunVrufPOOyUjI0MeffRRadKkiTz00EO+qjkqIif6kUWLllItaWnydk6OFJulFLGD9PT0dOnYsaPccccdhX4vYrcg/POf/5S+ffvK3XffXeiAcR9kiu8V8mgqATlzIYxNYsWZ+7jEm/PBkSNHpFOnTnLvvffK1q1bZeTIkdKyZUt58MEHvX4+M1OO/f67XBEF96wlhFLmAmgpVGqKTd/tc7RacCD77bffys033ywdO3aUAQMGyOrVq71+zgsBZYt69NFHJSEhQYYOHSpz586V1atXy6ZNm2Tz5s3y1VdfycsvvyzXXHONVKpUyaeh8MfOnTulefPmMmbMGPnkk0/k0UcflU6dOknt2rVl4cKFvgaMOWIduRZS9s8r2orP5bTVq1fLuHHjRMQ6do8//rj06dNH2rdvL0OGDJEVK1b4urQoaSLSz6FcvaSEzJZffPGFJCcny/fffy9ut1uOHDkiu3btkgkTJkhSUpLUrVtXnnjiifxBi5eVWhFNOx9omS0lHB3hi7lz50qLFi0COYogXUT6lyDHA8HIkMdzzz0ntWrVklatWkm9evVkzJgx/jL6bStBFi1aSqWAtAKZ0aGDZPrOEG8nLKpXr54fYrl582a5+eab87MWOiRdRFqX9b0HUAJy5kIYm8SKM3e5BBDRUhS32y1ut1tmzpwp1atXl6ZNm0pKSopMmTKlUJRLQfbuFYmLk/0g94HUiYJ71xJEKXMBtBQrjUVko5Qw+M0jLS1Npk6dKj179pRu3boVip32QYaIvBlI3SIiL7/8svTo0UPi4uLEGJNfXC6XxMXFSffu3WXu3LlFL8uVAA3Rxx9/LM2bN5d69epJmzZtZNCgQf4Gijki8ruINJeyf07RWIaInxdhUWP+/fffy3333Sc9e/aUjh07yqhRo0o6xsItNhwjmH1pK0W8z0Ln0bNnT+nUqZOce+65MmDAAElMTJRatWrJiBEj5IMPPvB3No6I/b6MD0KuilhcYpPFBGRjli1bJiL2yIonn3xSWrVq5WvPYh7pIvJsAHKcJ0E6lXns2rVLXnrppfyQIh9kS2ysSmgpxwWkK8giEDdIJsiMI0fkK/FxTMh7770nLVq0kAULFsjIkSMlMTFRmjZtKrNnzxYRr3vIvZEr9vt4flnff4Al4KMJghybxIozV0lElkqANtobbrdbPv744/xICx+kf/WVTAd5B0RA0kGeAWkaBX2gxUExIsGlq1ciSgI2jfco/KSmdbvd+ellV6xYwcyZM/nyyy9ZunQpHTp08HZJOjYt8gnA350ItG/fPrZs2cLvv/+O2+2mfv36tGjRggYNGnj7eC5wNrCMANIh79y5kwMHDlCzZk1SUlKIi4uzymkKZU/PBfYD3YFtTmSvYNwITMYeceH16JGifbtmzRreeOMNlixZQq9evZg5c6avujOA3sCaIOTqBKzGjz7/+uuvLFy4kLVr13Ls2DHOP/98unfvTpMmTahVq5a/ujOAacC4IOSqyJyPTdVfDZsKuxjvv/8+AwcOpGXLliQlJbF9+3YefPBBb8dD5JELbAY6U8LRFNjjET4FTvHIECmOABcAX0awDUUphjEY4DxgPHAO9niM54BnRNgDnAUsxctxMps2baJ9+/YAdO7cmfvvv5+LL7440KZzgUzga+yxBBtCu5NS4wbssTY+3xNFcTg2OYwdm6wPi7SRJQ54HPtON/g5tioEjgEpwJ/G0AG4C3t8jQFeBSaJxIzuVGjUmYtu+mAHW0lYB68YBQfm27dvZ9OmTVxwwQXePpoD/A84FZgE3BEJgT24sYPDbsCH+Dj3zBdeHLkcrCPXDdgRJhnLMx2xA4bO+On7ov28fPly2rZtW+icvwLkAh8AF4Ug1yLgEnw4DnlkZWWRkOBV3YuSBuzBTkx8EoJcFZmGwBKgA150JSsri6+//po5c+Zw4okncvLJJ3PRRX5VIA04CfglwParYAdvw7CDl4AevEOOALWwOqwoEccY4rFnKI7D2uHdwFPADBEOF/wo8B32+1eIAwcOMH36dM477zxOPfXUQJvO5ritngB8E+w9lBHDgKlE7ky8I9hxhN8DVKOMFGA0cBNWX8LVNznAAuDqgr80hibY8eFI7DthKXZx4T8iqMMQpagzF/3UBV5xu+nhcvmevfbiABUlDTvI3waMAKbg0MlywE6gsef/PbAvluDays11Exe3B7si92tYpKs4nINdsUrFzwsgAN0Be8jtycCPIchzIrCREmZd8+QpuPJchHSsPt+BnexwhyCTYp2o+4A7cTAj7oUM7GBsURDXtsQOKoYATbEDjXDYJ/HIMzgMdSmKX4yhKjAc+11qhl2lfhx4WQRfp3pfCvwfoQ3Sj2F1fT7wCLA1hLrKku7AcqB6hOrPBOpg3yGxRhWsHfsH1sGrio/omwDJAE7HTiYUwxhqYx3IW7HRXKuxTt3bIvrOjTZCUQSldNh/xRVccP/9bE1PB19fohIG4xnYWZZtnp/fAuLDKuVxsrEvpjy+APp5ZHBGTo6we7eLa665HnXkgmEF8Bes8747N5ej3j4UgCOXBSwkNEcOrP69iB14+CRPnqKOXG4umdgwmX8ATbBhIPpSCZ1c4N/Y7+mfOTlBrWAdxc7yBuPIAfyEdSjbAM2xjvpKyH/mwc46pnnkUpSIYQy1jeFfwHbsBNrvwF+Bv4jwgh9HDuBt4GCQTedNbD2FnQQZSew6cmBD+LMjVLdgbUosOnJg35svAW2BvsC7nt/5fZ/6YRM+HDkAEf4U4SHsJOzNQH1sFMdGY7jOmIiEfSpBoitzMYAx3A489de/8uDixfwNaETge0yOYl8WQ4r8/n7s7GE496rkAHuBrtjwt4L0wi7XB9peNrm5v3PiiYadO9OBLoikhU/UisXGjVR65RU23XUXzWvU4JhnBjlQjgItsKFCoVIX69QFvOoiQuaxYyS88AJ7+venXdOmHAqDHIoXZs2iebt2/HDKKbiqViUuwMvc2AFkB4IfWPiiGnaF+XJgAHYSKoHAwzEPAg3A72BaUYLCGBoDYzgekrYMu3rxmcOQtBHAMwS+OpeG1emHgNmen8sLVwBzCS1KoCiC7aMz8ePAxCCNsHsib8aGYAa6opkGXIN1zgKiQOjweGyUzi5sDoaiocNKGaDOXJRjDCdhZ6s+AC4RIQGb4GI4gTlGu7Gz3Ue8/O12bEx/Dawj5pUjR+wLpnp1vy+MKsDH2P1Lv/n4TG/sbFJJcmd75O6OMW2wK0wvInJ9CdcpPjCG/sDbKSnctnMndbCOfBwlb6o+CjxLeJOL/Bv7QihJD3KwujC/Wze+WbOGZ4EhIrwWRlmUAhjDg8bwz/Xrefakk7iOwAZUGUAXbEhZJDGedi7Fhhs1wX84ZgZ2EuudCMulVDCMoT3WJhZMFvG4SNCOQiXshEhKCZ9LA/4A/oVdcY7UKlZZcynWKW6Mn0RKDsYm67Ahg7G2hzBQKmOd4Hux2yr8hWDmAj8D7QgissVLUp9DwHSOJ/VRygB15qIYY6iGzUaVDHQSYX+BP1+AfYFUw/cs9VFs5iZ/2QcN0BqbCMFr6OVllzEZYPFixvqo4wg2uUog4QvnYlcKfQ3ks7HOYHfsKh8Y8zA2tO4KRIIN46qwGEMcdjYyHuggQjY2Bv4Bjiee8JaUxI1NPNOC8M78VsWG1TXA+wtHsCs8H2FnvX/y3MN6rN78RaTETImKQ4yhIfa5vCPCEOx+irewkz2+nP4MbLa1eaUiZGFSsAl5hmLtxTG3G9eRI1RPSCCnalXuws4cK0pYMIYzsYPYi7G6Pxt4UoTtYai+M/AZxVfnxNPWFqwTt5SKE17eBBvm53WME8DYJAM7yfRHJISLQgw2wcvd2GzFYJ3ZPHKxzlcXCF1njeFU7KTGZVin+yXgCRG2hFq34pCyPhtBi+8CMt1z9kcfH5+pJyIrpPhZTW6xZ7VcEyY5VoKsDOO9nSv2HLqiJ5tniMj3nvs6/nmoJPCVwAGBJmX9XGKtgAz36NEgL39vJiKLPX1f8HlkiT3Tr1WE5GopInuLtOkWq8urRaSrl/u40HMfN5V1n5bHAvIcSDZIywK/ryUi74v38+DSReTxspbbU6qKyFki8texY2V+rVoiIKdFgVxaYryAuEAGgHzhsT+RPGC5u4h8JyJH5bhNfkdEzijrfojGEoGxSXkqjURkgohsETveOioiL0sEDo8HaQUyA+SY5xzFRVD8Ha4lckVX5qIUY7gEeBM7y3GXv49il9fHYuOYDTZRxTXA2jDJshJAhLPDUZ+HFsCjwEDsLOMxz89T8JYsxZgW2BCJdcA5iGia8QDw7I37ERvf3l3E5z6Otth9H6cDNbGx9NPxHTIbDlKw4Z4Dsc//a2Am8B+8JLzwhHd8gg0PaSFSrvaJlCnG0BqbafR5EW4p+meOZ1Fr7fn5CHA91kZFFcZQHRtG9D1wjh+dVxSfGEMCdtX3Lmwiqe3YLQ4vikQ8iUYqdhVlLxVnFc4xERqbKEFiDA2A27DRGjWxW2QmAh+qHY4s6sxFkNHLSMYOjrtiE4CkYMMFsrCD5E+xA9hVU/sdz2ZlDCnYsLhtwOkSeEhZEnZQ7HP/WzByH97L6a44XEl12eZP7iDJO7A4g5Li/425BruM/09EHvby94D7G5FQ5S4TnOqUMdyJTY3dW8S++GIZY+iGTZF8nwgPQPDfs/JMEHqyELgQ6yTv9VN1Pax9+TOC4oeMMdyCPa+qnwjve35Z7u1DrBJN32HPZMBIbEbVVOy7eBKwUKTc7lGLCUp5bKIEiTHUAEZhv0MNsRPxk4BFIqGNTwMUoMLZenXmIsDoZXTFrpRdis04leewFCUb68RUxs5wT372QtZhz1k5HegiEvGkAvmEIvfUfnwdcQFtzvr52JXIMxFZ7fl90HIjEnm5w0AwzyYnk/eW3M15ezfzhQgXlp60kcUYXgfOv/Qx/praiRFEq76WAcHoSfoffPbeA/T9fQv3izCh1ISNIJ5VlU1A2lGqXF+FzDGUY/sQq0TTO8cY6mPP1LoJu099JXZV4QNdVShboklPlMDxHF9wJXZfXRtskp/JwByRII6rKrnBcj8W9IU6c2Fk9DJSgZeBU7FKEmhqb7AhFZmHdrPnjXE0T/+DkSLMjoScRQmH3NgkK1dP7cfO8EtYAGNqAt962r0IeJ4wyI1IZOUOklCejduN5GZh3Ll8XTmRgRF/NqVE579yVrPurGzQlty4ShiiWV9LiZD0JBfJzcbExfO5K56/lZc+6WM+uumfPDStB59nVSI3jnJoH2KVaHrnGEMLbLj3cOzs/RJgkghfhVKvEjrRpCdK8BiDC3u0zHhssqr92C0100TCEOVhTNj0JFZtvTpzYWD0Mgw2K+BU7MvA20xAQOTmgLjJjavESGOYO7Vf5GYEwyk3dqYjCxgNkZUbY3pg91XlYvdWhU1uouQLEbPPJoIU7BN3LlVdcT5TLwdCuesTVE8sdgV/mMDUHOKrVSLHhFBbVNqHWCWa9NUYumAHl4OwocPzsHvUSy0aRvFONOmJEj48+957Yr93F2IzoM/CZoT9NYgKI6YnsWbr1ZkLEY/ReZLjh4aGizwlHxMJ4xOrcnu+vE9iD8kM5YtblHy5y/pLHLPPJoJonxRH+8QLx+1DxPqkrO1DrBIN+uoZTJ6LHUz2AQ5jozueEWFXGGVSgiQa9ESJPMbQERt++TfspPwr2BXx7wOsQG19AUKZ2a7wRNDo4KlvpKf+sBKrchf58obTkYNIyu2AmH02EUT7pDjaJ16I3MsdYrVPooSy1ldjiDOGK7BJDz4EOmDP4moiwnh15KKDstYTpfQQYYMIV2Mzmz+HXSH/nzG84znP0Tdq64uhzlxoDCMyypRHIjBy9DKGh7neYajc3rBfYmPCLbcThhGbzyaSDEP7pCjD0D4pyjDKv32IVYZRBvpqDFWN4Ubs8SyvAdWBvwPNRJgowqEIyaMExzDUrlUoRNguwm3YA+InYJP//ccYvjCGSzz77YoyDLX1hdAwyyDxbMz9gcgpU0HSgLZT+4V+5lesyu3Z4FqqciMSyTPWihGzzyaCaJ8UR/vECxXAPsQqZaGvz15IBjYr5a3Y4zT+i81M+aYIekZpFKJ2TQEwhkRgBDYrZVNsVuLHgfkiZKmt946uzAXPy9gNl6VBZU974UDlLplwyu2EinCPTtE+KY72SXG0T6KXUns2IlQ58CurgB3AQ8A64BygmwiL1ZGLavQ7rCBCughTgVbAVdjEJC8CvxjD2GziX0X1pBjqzAXB6GVgkQrvAAAgAElEQVScik2BGu59W76oBJzmOWslaGJVbowpE7k9Z5aUCjH7bCKI9klxtE+8UAHsQ6xS2vpqDPFJJ9C4ySl8DpwsQj8RPtFz4qIbtWtKUUTIFmE+cDLQD9jSlf8+kUXCmaitL4Y6c8ExBuuxlyaVPe2GgsodOOGQ2wkV4R6don1SHO2T4mifRC+l/mziK5M74EEOiPBtabarhIR+hxWviCAivC9C77e45MMqHCvtiZmY0BPdM+eQ0ctIBnYDVZxcJ243q166l40fzMIVF0/bc6+l2zUPERfvaILhGNBwaj8OOrkIgpP78N5tzBverNjvTx16H92umuCk+aDlxpig+vsYcBvwKlALuAO43XHjVm5EnMvtgGCezc7vVvLm3b0BSEisSf3Wp3Ha0Pto2L6H0+aDfzYRJNQ+KUhyahuumvmDk+bLTZ9ExXc4klQA+xCrhPwdNobE2o1oc87VnH7twxiXo7nn6NRXpRhq15SAUFvvl/iyFiAGOR17Wrwjhfrq5fv44eOXuPCfS0hITGbZw5dRuXptTrl8vJNqMoHuwPtOLvIQlNwAl03+ktqN2+X/HJfguIpSl/tO4DPgc2AfcCk2APsiZ22HIrcTgn421760g6MHf2fdooksuac3g55cTb2WXZxUUVr36JSg+2TYvJ1UqnJ8b7RxxTmtotz1SRl/hyNJRbAPsUrI3+E/f93E0gcvpUa9pnS46AYnVeiziR3UrimBoLbeDxpm6ZyuOMyik5N1jG/fepozhk+kUYee1G3WkZMuuZVNH85x2nY1T/vB4FjuPBKqVqdyUnJ+iXduMEtV7nRgNjAJ6IQ9IXYgQe1iDUVuJwT9bCon1aJeq1M4/57XqN2kPesXP+60itK6R6cEr6+JNQvpa0K16k6rKH99Urbf4UhSEexDrBLyd7hhu9Np1OEsdv+wymkV+mxiB7VrSiCorfeDOnPO6YXDFc19P60j+2gaKR175f+uUfueNOlyvtO2KwFnO73Ig2O5w0ipyr0OO41S8Jt3ZXAChCK3E0J+NsYYmnXrz56NXzq9tLTu0Smxqq+RRPukOBXBPsQqIevr4b3b2L3xC05ofrLTS/XZxA5q15RAUFvvBw2zdE6K0wvS9u8EoFrthvm/q9v8JM664Zlg2m8UzEUEIXcer489o9B+hSue/i/JKa2cVlNqcu/y/HtCgd85dpuPE6zcTgj62RQksW4qGQf3BnNpadyjU4Luk7nXpOb/v1n3Szhv7EvBVFOu+qSMv8ORpCLYh1gl5O9wVvohmnW/hE4Dbg2mGn02sYHaNSUQ1Nb7QZ055zg+38KdkwWAy/neHW8Em/Ep6HM5+t37OskprfN/TqwTlO0tNbmzPf+6gK+BPp6fOwOfOG+/NDJsheXMFGNMsJeWdhaxQAi6TwZN/pL4ytUACu2dc0i56pMy/g5HkopgH2KVkL7DcZUqs+/nb/j0uZv45o3JdLl8nNNq9NnEBmrXlEBQW+8Hdeack+X0gspJtQA4duRPqtasC8DWr97lg8cGc8OSdKfVZTq9wINjufNIrN2IGvVPDPbyPEpN7lqef/8EOgLfAEuxp04GQbByOyHoZ1OQ9D92FVr9dUBp3KNTgu6TpBOakFA1KdT2y1WflPF3OJJUBPsQq4T8Ha7ZsAWH9/zC2oWPBuPM6bOJDdSuKYGgtt4PumfOOb85veCEll0wLhd7CmziPvjbjyTVTfVzlU92lfwRrziWO8yUmtydAQOswk6lnAjkBNk4wcvthLA8m23/fa/QvkwHlMY9OiVW9TWSaJ8UpyLYh1glPPoqgjs3u+TPFUefTWygdk0JBLX1ftCVOed8CpyFgxPoE2s3pNVZQ/h81hiq1WqIuHP49q2naXfeCKdtZwMrnV7kwbHceWQdPUJm2vHjNUxcvNOVj1KVuxEwGHueSH3sl/hZoIbztkOR2wlBP5vMtAMc2rWF9Yuf4MCvmzjvzv9zWkVp3aNTgu6TMFDu+qSMv8ORpCLYh1gleH1NP0Ru1jH2b/2W796ZSupJ5zqtQp9N7KB2TQkEtfV+UGfOOV8DGUBNJxedc9tsvph9J2//8zziKlWhbZ9hdB1yr9O2MzztB0NQcgMsHntGoZ9PaHkKg6c4EqPU5X4BuBU4B/sl7o1dYndIKHI7Iehn89K1TaiclEyjDr0YNHkVtVLbOK2itO7RKUH3SRgod31Sxt/hSFIR7EOsErS+zr0m1XNoeEOadr2Q04c94rQKfTaxg9o1JRDU1vvBiEhZyxBTjF5GUKfQh4ljQMOp/XB8Cn2syo0xZS43Is7ldkDMPpsIon1SHO0TL1QA+xCrqL4qgaB6ogSE2nq/6J45h3i+9G8CuaXcdC6wJFijE6tye748ZSZ3aXx5Y/bZRBDtk+Jon3ihAtiHWEX1VQkE1RMlINTW+0WdueCYTOlntsn0tBsKKnfghENuJ1SEe3SK9klxtE+Ko30SveizUQJB9UQJBNUTH6gzFwRT+/E1sIbjx1hEmmxgzdR+rA2lkliVG5EykRuR0OR2QMw+mwiifVIc7RMvVAD7EKuoviqBoHqiBITaep+oMxc8VxOm88ECIBO4Kkx1qdwlE065nVAR7tEp2ifF0T4pjvZJ9KLPRgkE1RMlEFRPvKDOXJBM7cdOYDTg+NRvh6QDt07tF56zWGJVbkRKVW5ESv3sm5h9NhFE+6Q42ideqAD2IVZRfVUCQfVECQi19V5RZy405gKziJxSpQOzpvZjTpjrnYvK7Y10YBYi4ZbbCXOJzWcTSeaifVKUuWifFGUu5d8+xCpzUX1VSmYuqidKycxFbX0h1JkLgan9EGAMkVGqdE+9Y8Jcb8zKjT1HI/bkdkDMPpsIon1SHO0TL1QA+xCrqL4qgaB6ogSE2vpi6DlzYWD0MgwwDJiCPWQ+4BPqvZCNjdO9NdKzR7EqN8ZERO5omoWJ2WcTQbRPiqN94oUKYB9iFdVXJRBUT5SAUFufjzpzYWT0MlKB/wNOwypWnIPLc7GKtAa4qjTjuWNVbowJm9zRGhcds88mgmifFEf7xAsVwD7EKqqvSiConigBobZenblIMHoZXbFLtAOxSlIN7zMG2UAGVvmWAE96UvSWCbEqN8YELbcn1W3UE7PPJoJonxRH+8QLFcA+xCqqr0ogqJ4oAVGBbb06cxFk9DKSge5AV+BsoBFWeTKBXcBK4Gtg9dR+RM3p8rEqN8YELDci0SO3A2L22UQQ7ZPiaJ94oQLYh1hF9VUJBNUTJSAqoK1XZ05RFEVRFEVRFCUG0WyWiqIoiqIoiqIoMYg6c4qiKIqiKIqiKDGIOnMlYIxJMOb/2zv3uM3Gco9/f+ZocphhHFO05ZSZZEgSNpFkIgw57Whka49MOiFFDglFRFHYOZSc2+WYc4xE22kcQiin2oRBjNNrxm//cd1r3jVrnuc9zTvGW9f381mf5133ute9Ds963s99reu6fpdGKiRQ6+2LS1pBUr/fQ0mjJI2R1BtFnr4ea6SkEySN6+dxR0k6TZGQ2tN9tpB0iIIRZclnNJkDSe+WNEnSO+b3uSRJkiRJkswvcqLcPbsCzwMLN9oPAx4BFpa0sKQJrXaWtKqkdSV9oMWylqQ1W+y2JXAPocQzr5lUliWLYddqGdbcSdJwSWu3WIaWLp8k7l2PkLQMcDKwFbAQcBJRvHGmJDeWxyUtNrcXnsw7JC0oaaHGsmDZNqTFtoXKC5Ile3iIscQz8pE+nNuKkhYpf68h6a+SjuztOEmSJEmSJPObwfP7BAYAr5bP1xrtL9faPw5cIGlL25c1+u0H7Eyo6DTVZoYC9wNrNdpfb3PMfkXSu4FvEs/Bb9p0e4k4v4ca7csCtwLXETKvCwIbAu8k1IL2AARc0XBqnm37i43zWAq4AngO2NT2S5L2Bw4m7v+bhGF7CbAKsJPt5/pwyclbxzXAeo22GwhlqUnA8W32u51QoELSqcB2RB2YJtWLqP+R1PydDAIes/2B5k6S3kn85g4DDgdG0/nMJkmSJEmSDCjSM9c9MxufFS+VT9u+GDgVOLXpxbK9u+3hthcFziUq1S9ue6TtEbbXApB0vaTKoJpZ9n1jHlwP5XhDgfMIQ8zA9sAytWXv0vXztpuGHGU/gB1sbw7sVrVLWocw7L5te7Tt0cAXgcWBnzXOYx3gZuKaN6mMNNt/t/2Y7aeBF4EfA6sDu9i+aa5vQDdI2ql4AXdqtK/Q8BK+IelBSQdJGtKiT4ekJyT9TNJqLY6zsqQrJL0s6e+SjnwrwmvfAjqASbZlW8ChpQ3iZcVj1bZanyHAv9fG+BKwVPUMledopfL3YmWfRYBDau2jgSWJ528OHAVBfw3sU36rlYf34f66cElbSZpavtM/SdqrRZ9tJN0habqkeyT9R38dP0mSJEmSfx3SmGuDpOUlrUjnZG8FSSvUulS1KSrv5leACbZfpwWSxgC7E16mwZKOl/SxWpdXiXDOeU7JQzuFCFX7CHBaWV/F9lOEZ+T7wOG2z2kzTLuaFga+R3jtJlYGDrAPcLFrhRkVLrsTgKeBjwILSjq2bhBLWpTw2m0BPADc1/sr7hPjG59Nvg98mPA0/QQ4iPD2NPt8DDiW8N7eKumD1UZJSxD1TpYkjOlvA18GvtEfFzCf6WjRVr0AaOVpw/YM2y/X1l+23VHCkT8i6b3Ak5KmSNq1hOZeBBwNTFbkt64PLGT7xS7O7VjgD8Ao4gUDwBO9u7zWSPowUYT0KiJc+kLgREk71/p8Avgl4ancCvgf4Of1PkmSJEmSJD0hwyzbczIxAa94mM4wMYBnyueaJUzw/cBYSe8H9rZ9ZbWjpMWBc4BLbB9S2lYBtpE01vY/iAluqwnwvGAi8B/AtrbvkzSJCPm8VtKvga2BQ2wf3sUY7V4ETALWJwzFE4E9Jb1a1mfzctm2pG2Bl0po5UnAtoTH8A+SPgCcTXgKJwKfAO6RdBZwoO2/9uXiu6MYu5sTHqTNJS1g+81Gt0dt31L+vkkhILMbcECjzw3ADZKuAKYS4YVV+OGXgKWBjWw/WI69MvA1Sd+1/VY9D/OCBYCVJW1U1lcgwm77wiRgWdtbSFoe2JF4CbAIJczZ9hRJo4AbgU2I8N9ZSFqJCL/sAJ4iPM/DgfeULsMaL2sA3iievN6wD3CH7f3K+nWSdgQmEM8yRAjyw7a/XOuzGbBnrU+SJEmSJEm3pDHXnm2Jid82wPnEvVq8hEytCnyo9Psd4VX7I3AvYQTOCkuUtCkh1DAE+L6kDYGRxKTz48SktApRfEuw/VNJt9q+uzS9CVxKXPME4HHg990MMwj4O3BvEa14oaxfShgx90v6JuGlWBCYbPsvLc7l/wAkbUcYe7sAD0s6AvgqcS8/VIydM8qk9wxge0nfBr5r93vl+3UJj81hwLfKenf3YwZxnS0p9+MywoBftlz3p4A/VYZc4VZgMmFk/KnvlzDfeRBYh/BMvo8Ipb2jtn15Sc3v7VnbS7QY6zWgo7wo+U/iOb2LCG3eDrhG0jlEuCW0filyOl2LpdzWom1W/l4v+DkRFlxnGLMbsqOA6Y0+04GlenmsJEmSJEn+xUljrg22XwGoJpy2Z0p6HjgKeJSY6K0DfAE4uWwfbfvZxlBrACuVv68mhDweJsK6bgJ2lNSVB4xyHtsCSwCvlKVlqFqDBYF3ADNtn964vruL52sb4LOEl+M7hEfjKMJL9yAhOnJPOd+XgTttd9h+hPAqIekFwst3fRn+TkmDgTWBRQljsUPSYNszWlzbWkSo5yW2z5b0aWBfwgj+uu1KhAbbV5Xz/iUwtGnISfosMXEfa/veHtyjVown7vHRRPjseOY05hYo1ziY8NZuR+REdsXtxP0eI+kZQszlykafXxNezH4J+5tf2P4CQPHMXWp7/UaXx4kcyIrdgK93M+xTxLO0pe3KMDyrhDZuRoTrtmMz4jczw/as346k24HHbW9T7yzpFqCl57dc02/LeVxa31YXQCphtHsTAivn1br9Ajil5GNeSjw/GxJiREmSJEmSJD0mjbkeUkIAHwWWqPLiJG1FGBQzJY0E7pY0yfZFtV1PJyZsjwDvJjxN29ueWnLDVrT9kNRtBNpeRPhYX3isnAfFs7glYWQuQ3gUjyW8XQcDE21vrKgPtyuRq/bVMs7Nttcr47yTCA/8Rf1ACkGTrQkP24tEuKKI8MJjJN1MTJIPtj2tTMQvJko/vAhg+3xJU8t5t/KyPAdsZbtVjuFlRC7bn3tzgxqMB6bYni7phrLenGgfz+yKjFcR31FXVKG5i5VlMCX3suQPDiK8vA/QM2N9IGPbs7xTkl6n/TXPJLyjlSd5h/LbaeanTiK8w3MIyFQvZ+qUsMpxRM5jk2Vo7429g3jGHmizHUkL0WlcHml7ljFXPOPvZvaQyhNtH9NuvCRJkiRJklakMdeGMtHbicjVgnhzfl5D4ORBIuQSIhxvcRoS50Wd8bkyJo1tr9NzQY8DCC/bK5T6az3YZ0TZp37gqYSxdQJwke37qw2S3kN40ihCJbcpVC+XBP6tuo7CasBPCS8DwMZlgvoO4p4dCpxa84KsIWk9wkMyuhhySwPXAlOYU1BlCiXsrI2hexcwh/S87WfoNJp6jaTlCEP3rOJ5uwY4TtJyjRy9o4nw2xHApoRoyUlEPlQ76tdYCcNUuXjjCS9oxcaEOMqAQ9IIwpCpck4HS9qdCDfstRKp7X2IXLT6Ma4mFGUnzEWY7V5ECOcFkkY1Xg4sBbTMlyviKre02lbjFeL6twUOkPSk7R+Wc58I7E94Im8mSn8cIelPVZ8kSZIkSZKekMZcCxTFjR8g3vDfVZrHtpg0TgXWlvQhQnp/su1bG2NtRsjqv0bnBP5CRW2swcBPbP+gu3NqjttXbP9e0uXAccCRrQylFrlMENf2o9r6jLJUjCVqz32eMPKmEyp+9bEGAbtVIjC2nyoT24sJgZg6m5fPDiJv6UxgA2Aacd/6O0+uYovyeXRZ6u2n1NYfrylzTime2cmSTqF9uF+lnDiNzpyphcrnjcAHCY/QxX0//bcFrxJGfQfxzA8ljPthdIZSqnivKobRwqMm6WAih3C2ZsKz+TLwTBtjf/m6MmaLcZchntWfE57nXSW9z/bLioL0w2hjzPWEIphzFXCVQsH08OLdF/Hb+5nt75buUyS9CzhK0k9beRGTJEmSJElakcZcC2y/KukAQvZ8HHBBm7f/NxKCDOcB59j+cYs+9xNv4V8ncsxOIcLzHiVy2qpQrcG0mMzOI84gru11Zg9jPI3wzE0o61Xtr2F0XzbhhFrOXEcJm9vG9jVVB0mP0giNq8LPWngtp9b2W7L8+XApnTAvGU/kc02otf2ytJ/Sco+g+h5XpL0xN44wQqfafqHkza0EUBRNbysiH/MVhUT++oQxc1Q9x6wnFJVS6DS4X7H9rtr4exAhxy81dp3WYrhBhDDKqmXfhYlwyxNsH6qoyTfeUeuxEhy6mnh50u76RLxgGUwUDh8KfA04kPCAL1269qqQuKTRhDf1WNun1TY9RHz3SxAe9UWpiSTV+owgvOCP9ua4SZIkSZL865J15tpg+7hW6osNbiEmm88TsuKtxnnC9oW2LyFEEwButH2J7fNripIdzO7pmmfYfqEImLxEhEnuQEykOwg59meJumfnAsNtP2L7hbYDFiSNUpRpgM7wwSZv21ywkoe1CXCN7duqhQgF3USNgvANqpDPlt4cRY20LYGrSigowOXA6ooahBXrzNVFzCWS1gDG2N6LCAGeV7XP5iga7ij43WTWc1QMt/8mwn2PKM2bAxdJ2rK+UzsDtBhyxxBKovvbftz2w4Qy5iKlW2XM9dYz9zzwLubMbV2VCLucVr77FwlxoDrjiN/fPCm3kSRJkiTJPyfpmesjirpVF5bVNykeLkkbAE/YfrTFbsPL54aSNibyzlYFdra91bw949kp5/8rQmnv9BZdXiRyx+6R9LU2XkckrUZ4735AXMuWhGekt2GQKuNVnsDXWilf1o67IDDS9pON9iUI79hddRXMHrIRER54XaP9OiIPcCM6ywWsIGldwgD4KPA5wgv7e2C5Wp8NiIn6/oTYyRdq4x5KFI2+TNJ+hIfoCOYvywB3lr+nAp/uhzFVBHVWJoSA+srR5XzOIHLMliHu9QzgZEld5uNJGk486zsCP22EDe9T874vWz5beuYkLUKUW3ig/pKjCCH9CNhP0n3Ey57xxO/oCNtV0fQfEnl0fyY8eesRirI/6uqZT5IkSZIkaZKeue6Z7R5JGinpMCKXbgaRSzWWmJhDFOO+qwiHIOkCSfdJmkZI/EOUANiVqDf1e+acNK7GPPLSKdiTmLC/AYyzfW6ZyA6t+hWVyjHEhPQkSb8qgiCVwbQXYfjcR4S0XQOsbvvq6lDAlZJmVAuwfBenNqQs4wmP4RuSXHLuKo/mk7W2Vwjjqcl4QlRixd7dmVn7Qmtjrr4dIs/qZkKpdHvgR8DGjcn4Vwmv3j5EqOY427NUNot3dAMixO5MIuTvGOav9/JaolD6QYTx1Ksi1pKGSqqKYZ9IGE8jiPu0O5HrNogo7TCysYyStHT1nFVD1v6+HXi2jDGdyC3cnzCGphAvAdqd1/rEb21H4l7P5kmvDLniudsaeL6LlwHjiO++WW4B4CDgy4Sa68WECMpepb3iECKcc3tC9OYzRE3D/dudf5IkSZIkSSvUdyG4f25KuOCXiMn2WNuLlnC4PxBGz3HAgbY7JE0m1CEvIwoTX2d7QhnnaOC9hFF0J/BH2+1C8fYFjiQmu3faHjcPrmsMcAMxiZxU8gO3JkIttyNqgm1T6z+YkG5f1Pb2pW0hwst0P+GRO7s58ZU0Hdi6Rc7c/nWZ9tq2awgj7jNE3lB3YadDgCE9CIVN+kDxej3d23y5su99xAuK64hi3FNtP13bvg/x3LRjpRL6iKQjidzLVYvXdmYRF2kecxhRvmAj4Fu2B9W2fZYwKk2U3zi8mQNbjNfPEflsI4HLbdeN9yRJkiRJkrcdGWbZnucJFb2Xge8B2L5X0jeA621XKpfY/mERfDiGMEC+U9u2by+OeQ4RqngTIVDS75RrGGu77g18hghfuwP4dqP/DGCPuvKgo/7a5sC1XcjCD23T3s57MoSo2TedTqXHZD7RDF/tJat3VS7AdrNGHwCSFiCem7ooT91b/EZznxodhDLlu4jw0DpnEqGOF9v+bXPHwlVEofoniMLtB3dxrCRJkiRJkrcF6ZnrR4rq4ptFQGRAIWlIN5Pl3o43GvhHf46ZJF2hKFgPcLfttmqWSZIkSZIk/yykMZckSZIkSZIkSTIASQGUJEmSJEmSJEmSAUgac91Q1PlGqlHVWtLiklYoeT79fcxRksaUulrzlHJtJ0jqV7GVcg2nFUn6nu6zhaRDiuLmiLLkM5rMgaS1JO02v88jSZIkSZJkfpIT5e7ZlRBDWbjRfhhRM2thSQtLmtBqZ0mrSlpX0gdaLGtJahYPhqjVdg8h6T6vmVSWJVtIxVfLHKIlkoZLWrvFUglWfJK4dz2iqCeeTNRdWwg4iRCfmVmVI6gtj0tabG4vPJl3SFqoxVKV6xjeYtvCkpaQtGgPD7EjcEpdmKcX5zau9vfekh5q9/tNkiRJkiR5O5Nqlt1TSe43BRVerrV/HLhA0pa2L2v02w/YGXidOQtpDyXk/ddqtL/e5pj9iqR3A98knoPftOn2EnF+DzXalwVuJeTn3wAWBDYkipD/H7AHUSPsioZT82zbX2ycx1LAFcBzwKa2X5K0P6Eo+CpRlH0EUU5hFWAn28/14ZKTt4BSQuClFpsOJWqsnQ1s02I7wPeBr5Vx7geWIr7/JsOI388TkprlEwYDP7c9ucW5fRo4T9IGtn9Xxn8v8GA3l5UkSZIkSfK2Iz1z3TOz8VlRTVZt+2LgVODUphfL9u62h9teFDiXqEe3uO2RtkfYXgtA0vWSKoNqZtl3nilBFi/JeYQhZqKA8TK1Ze/S9fO2m4YcZT+AHWxvDlQhb28UVcENgW/bHm17NPBFYHHgZ43zWIcowDwT2KQy0mz/3fZjpT7Zi8CPgdWBXWzfNNc3oBsk7VS8gDs12ldoeAnfkPSgpIOKEdOqT3P5QG28LSTdKem14iHaZV5f27ymPLcGVrMt2yJqG1YlB14Hzqy21foMY/bi2h8Clqw9Q0sA7y3rC5d9/o0wEJes9VkK+Hqb0/s18Fc6C3RXHt6H5/7KoYvv/Ixan8GSvi7pz5JeKr/9dboYNkmSJEmSpCVpzLVB0vKSVqRzsreCpBVqXV4on5V38yvABNuv0wJFse7dCS/DYEnHS/pYrcurRDjnPKfkoZ0CjCWKnJ9W1lex/RSwNuEhOdz2OW2GaSeDaqIu363AxMrAAfYh6nzdVjsPEcbt08BHgQUlHVs3iEvY3RXAFsADwH29v+I+Mb7x2eT7wIeJItU/IYyQw9r0aS4PAkj6d+Bi4rrGE97Rn0vasL8uYj7S6kVE1dayELntjnrxedsv2p4h6eOSViEKyj8l6TxJm5bf1C3AgcB4SUsQz/Mbtl9udwzgWODR0rQ4MK1Z9H4uaH7XHyWut/7bPhz4FvF8bA1MA66VtHI/nUOSJEmSJP8iZJhle04mwicrHia8CxuV9WfK55olTPD9wFhJ7wf2tn1ltaOkxYmC4JfYPqS0rQJsoyjg/Q9iwlcvljwvmQj8B7Ct7fskTSJC1q6V9GtignmI7cO7GKPdi4BJwPqEoXgisKekV8v6bF4u25a0LfBSCa08CdiW8Bj+oXiwziY8hROBTwD3SDoLOND2X/ty8d1RjN3NCQ/S5pIWsN0M9XvU9i3l75tKHtZuwAFt+rTiCMJL9JlSnP1aSRsB3wCm9MOlzE8WANaRtHRZH0mE3faFE4FTbH9P0q3AnsCVZby/AGvaflLSNsD/0OL/WvldvkYYlL8qbSsQz9bzjRc1FS/ZntabE21+37JrpmoAAB3oSURBVJK2AgYBl9ea/xM4y/ZJpc/NhPd5Z8LLmCRJkiRJ0iPSmGvPtoRxtQ1wPnGvFpe0F7AqEQIG8DvCq/ZH4F7CCJwVlihpU0LMYwjw/eJ1GQncSBiLJ9AZoviWYPunkm61fXdpehO4lLjmCcDjwO+7GWYQ8HfgXkWx9BfK+qWEEXO/pG8SE+cFgcm2/9LiXP4PQNJ2hLG3C/CwpCOArxL38kO2HwTOkLQZcAawvaRvA991/xdLXJfw2BxGeFDWpfv7MYO4zh5RvEgfBk4uhlzFrYQXcsBSjOFbCKPr3YSgzX10vgAB2E1zqlFeaHv7FkO+BnRI+iRh8GwBnAVcD0wG7pP0Q+B/gZm2Z/P8SRoM3NXNaT/Som1W/t5c8CngH+VcUSjULgJMr/V5jXh+UtQnSZIkSZJekcZcG2y/ApEDU9ZnSnoeOIoI0bodWAf4AjEhnylptO1nG0OtAaxU/r6aEPJ4GHgCuAnYUVJXHjDKeWxL5AO9UpaWoWoNFgTeQUxwT29c393F87UN8FligvkdQtDkKMJL9CAhOnJPOd+XgTtLONwjwNLl3F4gvHzXl+HvLBPoNYFFCWOxQ9LghuFSXdtaRKjnJbbPLiIV+xJG8NcboXdXlfP+JTC0achJ+ixwOjDW9r09uEetGE/c46OJ8NnxzGnMLVCucTDhrd2OyInsKWMIz9KfG+3fJMIAByzFi7kBgKRDgLVtf7LR7RfAf9XW/5vWoZl1nid+O6vb/lsZ/wzCy2zCIGp1PjMkLUx4WmdWXlZJo4gQ36/ZPr7qL2k48YLm0VbjlWs6GFjY9vRWfUq/BQhl2t9U+a/l/8S5xO/+bOJlxZcIT2a7kOYkSZIkSZKWpDHXQ0oI4KPAElVeXAmhGlomaCOBuyVNsn1RbdfTCW/VI4SX4iFge9tTS27YirYfkrqNQNsL2KSPp/9YOQ+KZ3FLwshchvAoHkt4uw4GJtreWFEfblfCC/LVMs7Nttcr47wT2Mj2L+oHKkIOWxMetheJcEUBxwPHlJCyvwIH254m6cNE3tjCpT+2z5c0tZx3q9DT54CtbLfKMbyM8Hg1jaTeMB6YYnu6pBvK+jcbfY4vS8VVxHdUpzL4KlzzGi1ZPl+AWRP/BYBny/LPzoy6ISRpBu1fULzK7IImexaDq5Xa67OShjTFg9oYXVsR/wMvb7QvUz4fb3M+/03kcb7SZnvFesQLmIsa7Z8jntNby/qbhELrzd2MlyRJkiRJMhtpzLWh5NDsRORqQagzntcQOHmQCLmECMdbnJDln0VRZ3yujElj2+v0XNDjAMLL9gql/loP9hlR9qkfeCphbJ0AXGT7/mqDpPcQnjSKUMltCtXLJQnVwHo5gNWAnxIeFoCNFaUO3kHcs0OBU2vGyxqS1gM2A0YXQ25p4FoiP6wZKjmFUCWc474V7gI+0Gy0/Qyzh/P1CknLEYbuWcUQuwY4TtJyjRy9o4nw2xHApkSe20lESYaKpsH3ByJkEyLsFjpl979Hp9EMfc8vm+9I+jhwflFwBVhO0ucIT/Ev2u/ZGtsfbIw/kijpcbTtufFifoH4Tv4iaRHbL5b2Ks/vb23O56/EC4nu2JrwNjbLfpwCvI94WfIE8GngNEmPd5NjmSRJkiRJMhtpzLVA0oKEwuAgOnNtxrbIzZoKrC3pQ4T0/mTbt9Y7lByvHxNehGoCf6Gk14j7/xPbP+junJrj9hXbv5d0OXAccGQrQ6kKLW0w2faPauszmD2sbSxRe+7zhJE3HTixMdYgYLdKBMb2U5ImEp65ZojZ5uWzg1DXPJMI3ZtG3Lf+zpOrqPLVji5Lvf2U2vrjNWXOKcXAmCzpFCJ0rxrj/No+01v8XRW9/gERpvlJwkM6kOlg9v8tKxPCHiMIDyaEomu94HfL71TSVcC4RvNQwpN7kKRvtDj+VNubdnWCksYDHyRCNK8nvrOqcHjlmWtpzPWCTwHXF4Gj6rhrEzmyu9g+uzRfL2ld4Ehg47k8ZpIkSZIk/0KkMdcC269KOoAIjxoHXNBGZONGQpnuPOAc2z9u0ed+oqbV68Qb/1MIb82jhKfigdJvMGHsvBWcQVzb68wexnga4ZmrJrUiDNBhdF824YRazlyHpNeBbWxfU3WQ9CidBdEBsH1e2UajfWptvyok8eFSOmFeMp4Ir5tQa/tlaT+l5R5B9T2uSKcxVzf4mlRFqleCTm9P8V7ON4o38gDCoJliuzd5gBVmdsPsunrOXPmudylLnV+2GGs4IYzyX2XfcURdwo/a/m1Rih1j+4ay/XDg37s6OUmLAT8C7qbzJcJZkj5eVGiXJl5UPN1miG6R9D6iGHnzRc17ymezduNDdIoqJUmSJEmS9IisM9cG28e1Ul9scAthgD1PKPe1GucJ2xfavgT4bWm+0fYlts+vKUp20EbAob+x/UIRMHmJCHvbgfB4dRA1up4lioifCwy3/YjtF9oOWJA0SlGmATrDB5v0JDx0vlByGDcBrrF9W7UQoaCbqFEQvkEV8tlTb879RB7lp0r+V8X8Lh79BeB/be9FlBZYYR4dZ46i4ba3a9Fv1nNUFEB/QQgOVb+lrwMXlfDYirbPWBFC+RXhRZ5o+82S93kT8M7SbWngKc9ZjqI3bF0+L260V7mca9bOaQEitLe7/zdJkiRJkiSzkcZcH5G0EqVeFUWtsbRv0MUEuJq0byjpy5JOkTSl5GNtZXtim/36nXL+NxPGQ6taWi8SE8x7FHXo2o2zGuG9+wHwJFFvD3ofBqky3hBJCzWEQ1odd0FJy7RoX0LSuiVUtrdsROT8Xddov660b1RrW6EcZzNJRxGiFvfTfQkDIJRQiBy55YDLJW1RQgZ37MN59yfLAHeUv++h5C3OJe+QtKGkPRpGV2+5kvB8vijpeEkXEMb3ooQoSZdIehdhtG0A/KftO2qbN7B9Wvl7WRq5r41xlivffVf/Pz8F3GH7iUb7nYRH/0hJe0r6GPAzYBVmz69MkiRJkiTpljTmume2eyRppKTDiFy6GUQu1VhC8AMiB+euIhyCpAsk3SdpGjE5higBsCswipj8NyeOqzGPvHQK9iQmlW8A42yfW4yLoVW/4q0YQ3gfT5L0q8rAKh6SvQgD5z4iH/AaQjL+6upQwJWSZlQLsHwXpzakLOMJj+Ebklxy7iovzJO1tlcI46nJeMJIXbF3d2bWvtDamKtvhzDEbiaUSrcnwvY2blV6oR22f0WUhliSeDGwPbPn6c0PfgwcL+lgIn+rV7ma5UXGDsBwSdcDexNhj6cTKqrDCG/20PJbqi+L1Ty7s4as/X07IRiyPCFA8jNCbGciMFXSEFogaQFFyYpbgdWBz9v+Wb1PFUZdPHeb0rWHdQ/iux/R5njLEPl4Ta9cdZxtgQuBA4nvfTVgh4YKbpIkSZIkSbeodSpYUiaVXyLe4o+1vaikMYT63VBCQORA2x2SJhPqkJcBHyFyhCaUcY4mcmduIQyoP1Y1slocc19CBGEQUc+tKfzQH9c1BriBqB83qeQHbk1MwLcDLrW9Ta3/YOAnwKIuBZ2LcMULhDH1A+Bs12rBlT7Tga1b5MztX+XJNfpfQxhxnyGMm+7CTocAQ3oQCpv0kvKdj+5LfqJC0fROIjT1RsIAu7tRhuBXdIYhNvmb7eVqfW8G7rL9X5KGNdRk68ddivBufRlYxPYmtW1nEKIjLwI7276sxf6XEi9lliByWfezPb8N6yRJkiRJki5JAZT2PA9MJsoAfA/A9r0lFO5625XKJbZ/WEQdjiEMkO/Utu3bi2OeQ5Q6uIk5a1P1C+UaxtquewOfIeTR7wC+3eg/A9ijrjxY6q9tDlzbRhgGal6+Bu3yzoYQNfumM7vqY/IWU77zPgnN2H5c0ugungvqLwvqSBrEnM9N3Vvc0pArLEy8pIA5RUe+VD4Psf1om/2nEGUj7iU8sSd0cawkSZIkSZK3BemZ60eK6uKbRUBkQKEWhZbncrzRwD/6c8wk6QpFfbu/AvfPpXhJkiRJkiTJgCCNuSRJkiRJkiRJkgFICqAkSZIkSZIkSZIMQNKY6wZJleqeGu2LS1qhG3nyvh5zlKQxJYdonlKu7YRSjLk/xx0l6TRJa/diny0kHVIUN0eUJZ/RZA4kvVvSJEnvmN/nkiRJkiRJMr/IiXL37EqIoSzcaD+MKPq8sKSFJU1otbOkVUtNqg+0WNaStGaL3bYkyhi0lD7vZyaVZckWUvHVModoiaThktZusVSCFZ8k7l2PKHLuJwNbAQsBJxHiMzOrcgS15XFJi83thSfzDkUdwIUay4Jl25AW2xYqL0iW7OEhxhLPyEf6cG4rSlqk/L2GpL9KOrK34yRJkiRJksxvUs2yeyrJ/dca7S/X2j8OXCBpyxay5/sBOwOvM2ch7aGEvP9ajfZKta95zH6lyMh/k3gOftOm20vE+T3UaF+WqNt1HVGvbkFgQ+CdRN28PYgaYVc0nJpn2/5i4zyWAq4AngM2tf2SpP2Bg4n7/yZh2F5CyM/vZPu5Plxy8tZxDbBeo+0GovD6JNoXyL4dWBtA0qlEuYyZLfpVL6L+R1LzdzIIeMz2B5o7SXon8Zs7DDgcGE3nM5skSZIkSTKgSM9c98xsfFa8VD5t+2LgVODUphfL9u62h9teFDiXkDxf3PZI2yNsrwUg6XpJlUE1s+w7z5QgiwftPMIQM1Gwepnasnfp+nnbTUOOsh9EsePNiTpeEMW+1yEMu2/bHm17NPBFYHGi0HP9PNYhCjDPBDapjDTbf7f9mO2nifpgPyYKPu9i+6a5vgHdIGmn4gXcqc3290q6VNJ0Sc+UUNXhZdsKNS9ih6QnJP1M0motxllZ0hWSXpb0d0lHvhXhtW8BHUQdQ9kWcGhpg3hZ8Vi1rdZnCFFgvOJLwFLVM1Seo5XK34uVfRYBDqm1jybqFG7Y6qRKjcdfA/uU32rl4X24Py8eoIQJPyZpDnVbSXtI+pOk1yT9UdKO/X38JEmSJEn++Uljrg2Slpe0Ip2TvRUkrVDr8kL5rLybXwEmdFHUeAywO+FlGizpeEkfq3V5lQjnnOeUPLRTiFC1jwCnlfVVSqHotYHvA4fbPqfNMO1kUE3U5bsVmChpSGnfB7jY9m218xBh3D4NfBRYUNKxdYNY0qKE124L4AHgvt5fcZ8Y3/ichaRlgd8B7yG8rl8BdgHObHT9PvAx4FjCe3urpA/WxlkCuJ4wPrYnavx9GfhGP17H/KKjRVv1AqCVpw3bM2y/XFt/2XZHCUf+iKT3Ak9KmiJp1xKaexFwNDBZkd+6PrCQ7Re7OLdjgT8Ao4gXDABP9O7yesQ3gXc3GyXtQrz8+S3xXN8NnC1p03lwDkmSJEmS/BOTYZbtOZmYgFc8TGeYGEShbYA1S5jg+4Gxkt4P7G37ympHSYsTBcEvsX1IaVsF2EZRwPsfxAS31QR4XjAR+A9gW9v3SZpEhHxeK+nXwNZEgeXDuxij3YuAScD6hKF4IrCnpFfL+mxeLtuWtC3wUgmtPAnYlvAY/kHSB4CzCU/hROATwD2SzgIOtP3Xvlx8dxRjd3PCg7S5pAUadcsOIsLzPmL7z2WfRYAfSTqIzu/xUds3ADdIugKYSoQXVuGHXwKWBjay/WAZZ2Xga5K+a/uteh7mBQsAK0vaqKyvQITd9oVJwLK2t5C0PLAj8RJgEUqYs+0pkkYBNwKbEOG/s5C0EhF+2UEURN8bGE4Y5ADDGi9rAN4onrxeUwzPr9IZjl3n60RO7KTyG/gdsDHwNSI8NUmSJEmSpEekZ6492xJhX58u64OBT0vaS9IJhAcFwkNzFuHBeZEwAmeFJZa37TcToh7fl7ShpK2ISee7iEnpW4rtnwLjSngohLfwUmJiPAH4G/D7boYZBPwduFfSm8AdZf1SYKLt+wnPxEHAccBk239pcS7/Vwy57Qhjb3fgYUlHEN6TN4EP2T7D9g6EJ2Mz4E+Svq5GQl4/sS7hsflu+Vy32lCOtz1wc2XIFW4pnx+kBeV+XAZ8uHj2AD4F/Kky5Aq3EkbKexjYPAisA/wQuBZ4L7OHMi6vOYVtnmk1EPFcdpQXJQcSeah3EQI7VwHXSDoTGFn6tzKCTydy5f5MCBdVy35l+22N9kcIr19fOZ74P/DremO5hjGEl9oAxWi/CthU0ui5OGaSJEmSJP9ipGeuDbZfAZBUTbhmSnoeOAp4lBBqWAf4AnBy2T7adjM/Zg1gpfL31YSQx8NEWNdNwI6SuvKAUc5jW2AJ4JWytAxVa7Ag8A5gpu3TG9d3d/F8bQN8ljAgvkN4NI4ivHQPEqIj95TzfRm403aH7UcIrxKSXiC8fNeX4e+UNBhYE1iUMMg6JA22PaPFta1FhHpeYvtsSZ8G9iXUCr9uuxKhwfZV5bx/CQytJsS1sT5LTNzH2r63B/eoFeOJe3w0EUI5nk7j9l2EgffHxj7306lC2s7AvJ2432OK4bIKcGWjz68JL+a8CPt7y7D9BYDimbvU9vqNLo8TOZAVuxEeq654iniWtrR9R2k7S9KHCQP/6S723Yz4zcywPeu3I+l24HHb29Q7S7oFaOn5Ldf023Iel7bYvhXx0uGjdOaSVlTX3Or5GQSsDMyRY5ckSZIkSdKKNOZ6SAkBfBRYosqLK5O2ocWQGwncLWmS7fob/dMJb9UjRP7MQ8D2tqeW3LAVbT/UAwfTXkT4WF94rJwHkvYijI41iPDFPxI5RGcQ6pETbW+sqA+3KzEp/WoZ52bb65Vx3kmEB/6ifiCFoMnWRA7Zi0S4oghPxTGSbiYmyQfbnlYm4hcTpR9eBLB9vqSp5bxbeVmeA7ay3SrH8DLgw4QHpq+MB6bYni7phrL+zbJt6fI5rb5DMf4vhRBAaTNu5XlarCyDKbmXxeM3iMidfICeGesDGdueXq1Iep321zyT8I7eXdZ3KL+dZn7qJMI7PIeATPVypk75nsYBP2lxzGVo752+g3jGHmgx5nDCE32+7d9Kahpz7yyfTTXW6lleliRJkiRJkh6SxlwbykRvJyJXC0Id77yGwMmDwKrl728RHpvZJM6LOuNzZUwa216n54IeBxBetlco9dd6sM+Isk/9wFMJY+sE4KIS/kc5v/cQnjSKUMltCtXLJYF/Y/YJ6GrAT4HKmNtYUergHcQ9OxQ4teYFWUPSeoSHZHQx5JYmQvCmMKegyhRgqXJera7tLmAO6Xnbz9BpNPUaScsRhu5Zxbt4DXCcpOVKjl5VR68vxlb9GithmCoXbzzhBa3YmBBHGXBIGkF4yaqc08GSdgeGEd7oXmF7H0JAp36MqwlF2QlN72wv2IsI4bxA0qjGy4GliHDjVufzIp1htU32K/t+tc326vtuhrhXD/k/uxGfJEmSJEk/ksZcCxTFjR8g3vDfVZrHtpg0TgXWlvQhQnp/su1bG2NtRsjqv0bnBP5CRW2swcBPbP+gu3NqjttXbP9e0uWE9+DIVoZSFVraYLLtH9XWZ5SlYizhVfg8YeRNB05sjDUI2K0SgbH9lKSJhGeuqZq5efnsINQ1zwQ2IDxig2mvpjm3bFE+jy5Lvf0UOktSLFTfqXgqzyOUPO+mNZVy4jTi/tTHuZHIt1uGuB8DmVcJo76DeOaHEsb9MDpDKSWpfg+H0cKjJulgYHKzmfBsvgw808bYX76ujNli3GWIZ/XnhOG1q6T32X5ZUZB+GG2MuS7GXJ64viOAp8rLAJVtgwlDrRpzVGP3av3J3hwzSZIkSZJ/bdKYa4HtVyUdQAggjAMuaPP2/0bgP4lJ/Dm2f9yiz/3A/kRI2NKEQXA8EbJZGY0Q38VbVV/sDOLaXmf2MMbTCM/chLJe1f4aRvdlE06o5cx1lLC5bWzPUueT9CiN0Djb55VtNNqn1vZbsvz5cCmdMC8ZT+RzTai1/bK0n0LkO75JZx5kxbJEmYehtGccYYROtf1CyZtbCaAomt5WBDLmK5J2JhRJ/wYcVc8x6wlFoRE6De5XbL+rNv4eRMjxS41dpzEng4Bnba9a9l2YMJZPsH2ooibf+ErMpwgOXU28PGl3fSJesAwmCocPJZQkDyQ84FUobW8LiW9M/Ka/XZY6bxAe6/8t6+8nlForxhIvRx4kSZIkSZKkh6SaZRtsH9dKfbHBLcRk83lgzzbjPGH7QtuXEKIJADfavsT2+bYrL04Hs3u65hm2XygCJi8RYZI7EBPpDkKO/VlCsfFcYLjtR2y/0HbAgqRRijIN0BlO1uRtG0ZW8rA2Aa6xfVu1EKGgm0gaVrw9vyXCSpeo7b4xYbz87xwDM0uqfkvgqhIKCnA5sLqiBmHFOv17Vb1D0hrAGNt7ESHAO8+jQ81RNNxR8LvJrOeoGG7/TYT7HlGaNwcukrRlfad2Bmgx5I4hlET3t/247YeJum+LlG6VMdfbsgSXEN7V+nIp8I/y9yW27yM8+p+slFhrz92VJSw7SZIkSZKkR6Qx10cUdat+VVbfpHi4JG3QhQDG8PK5oaQvSzpFUQB5Odtb2Z7YZr9+p5z/zYTx0Moj8iKRO3aPog5du3FWI7x3PyBCxCrPUm/DIKuJ7RBJC5WwtK7Of8ESKtdsX0LSuiVUtrdsRIQHXtdov660b1TW9yN+O5dK+oSkvQnxmLNtP17bb4XyPOxD5AC+QKifVhxa2i6TtIOkz9BppMwvlgHuLH9PpX8EOSRpbUk7F8GbvnI0USrkbuAIRb3BfYmXICeX8MiuTmI44Q37CvDTRtjwPpUCJ53X3NIzJ2mR8oyNrLfbnlZ/CVBeBEwjFDRvs139zo4iVC1/ImljIoR4NFFkPkmSJEmSpMekMdc9s90jSSMlHUbk0s0gcqnGEhNziGLcdxXhECRdIOk+SdMI2XqIEgC7Enkyv2fOSeNqzCMvnYI9iQn7G0S9uXNLGOmsEMGiUjmG8D6eJOlXlYFVPFJ7EQbOfURI2zXA6ravrg4FXClpRrUAy3dxakPKMp7wGL6hUn+MTo/mk7W2V4gQ1ibjCSN1xd7dmVn7Qmtjbtb2Iou/AZH39ktC/ObHwOca+32V8OrtU/qNc602XfGObkAonJ5JhPwdw/z1Xl5LFEo/iDCezu6m/2xIGiqpqsF4IqGiOoLwUO1O5LoNAhYov6X6MkrS0g1Dvh5/ezsh278Yce8vJkKY1yOM5WFdnNf6xG9tR+Jez+ZJr8Koi7dsa+D5ekmMBuOIZ6xZbqFHlNDi3Qlv7m+I/x872P5tlzsmSZIkSZI0UN+F4P65KeGCXyIm22NtL1rC4f5AGD3HAQfa7pA0mVCHvIzIm7rO9oQyztFEweRbCAPqj7Zbhm9J2hc4kpjs3ml73Dy4rjHADURI2KSSH7g1EWq5HVETbJta/8GEdPuitrcvbQsRHqX7CY/c2c2Jr6TpwNYtcub2r/LkGv2vIYy4zxDqmd2FnQ4BhvQgFDbpA8Xr+XRv8+XKvvcRLyiuI4pxT7X9dG37PsRz046VSugjko4kci9XlTSEqJk4RwhvCVVcl/Cefsv2oNq2zxJGpQkP6uHNHNhivH6OyBkdCVxuezxJkiRJkiRvY1IApT3PEyp6LxMKhdi+V9I3gOttVyqX2P5hSX85hjBAvlPbtm8vjnkOUergJkKgpN8p1zDWdt0b+AwRvnYHDeEGR5HvPVRTHnTUX9scuLYLWfh2QiDtvCdDiJp90+lUekzmE7bnRlVx9a7KBdg+nhABmg1JCxDPTV2Up+4tfqOLY3YQypTvIsJD65xJhAxf3IX36yoiZPMJonD7wV0cK0mSJEmS5G1Beub6kaK6+GYREBlQSBrSzWS5t+ONBv7Rn2MmSVcoCtYD3G27rZplkiRJkiTJPwtpzCVJkiRJkiRJkgxAUgAlSZIkSZIkSZJkAJLGXJIkSZIkSZIkyQAkjbkkSZIkSZIkSZIBSBpzSZIkSZIkSZIkA5A05pIkSZIkSZIkSQYgacwlSZIkSZIkSZIMQNKYS5IkSZIkSZIkGYCkMZckSZIkSZIkSTIASWMuSZIkSZIkSZJkAJLGXJIkSZIkSZIkyQAkjbkkSZIkSZIkSZIBSBpzSZIkSZIkSZIkA5A05pIkSZIkSZIkSQYgacwlSZIkSZIkSZIMQNKYS5IkSZIkSZIkGYCkMZckSZIkSZIkSTIASWMuSZIkSZIkSZJkAJLGXJIkSZIkSZIkyQAkjbkkSZIkSZIkSZIBSBpzSZIkSZIkSZIkA5A05pIkSZIkSZIkSQYgacwlSZIkSZIkSZIMQP4f/UaZ5l0rWqcAAAAASUVORK5CYII=\n",
391 "text/plain": [
392 "<Figure size 1080x324 with 1 Axes>"
393 ]
394 },
395 "metadata": {
396 "needs_background": "light"
397 },
398 "output_type": "display_data"
399 }
400 ],
338 "execution_count": null,
339 "metadata": {},
340 "outputs": [],
401341 "source": [
402342 "g.animate_search_tree('bfs')"
403343 ]
512452 "outputs": [],
513453 "source": [
514454 "# 为搜索算法提供辅助信息\n",
515 "g.help_info = {'A': 30, 'B': 20, 'C': 19, 'D':10, 'E':5, 'F':25, 'G': 0}\n",
455 "help_info = {'A': 30, 'B': 20, 'C': 19, 'D':10, 'E':5, 'F':25, 'G': 0}\n",
456 "g.set_help_info(help_info)\n",
516457 "# 动态演示贪婪搜索\n",
517 "g.animation_search_tree('greedy')"
458 "g.animate_search_tree('greedy', sleep_time=5)"
518459 ]
519460 },
520461 {
575516 "outputs": [],
576517 "source": [
577518 "# 为搜索算法提供辅助信息\n",
578 "g.help_info = {'A': 30, 'B': 20, 'C': 19, 'D':10, 'E':5, 'F':25, 'G': 0}\n",
519 "help_info = {'A': 30, 'B': 20, 'C': 19, 'D':10, 'E':5, 'F':25, 'G': 0}\n",
520 "g.set_help_info(help_info)\n",
579521 "# 动态演示 A* 算法\n",
580 "g.animation_search_tree('a_star')"
522 "g.animate_search_tree('a_star', sleep_time=5)"
581523 ]
582524 },
583525 {
594536 "outputs": [],
595537 "source": [
596538 "# 可以调整辅助信息的比重\n",
539 "# help_info_weight 为辅助信息的比重,origin_info_weight 为原始信息的比重\n",
597540 "# 当只考虑额外信息时,即 origin_info_weight 设置为 0 的时候,A* 算法退化为贪婪算法。\n",
598 "g.animation_search_tree('a_star',help_info_weight=1, origin_info_weight=0)"
541 "# 可以设置 sleep_time 来调整动态演示的速度\n",
542 "g.animate_search_tree('a_star', help_info_weight=1, origin_info_weight=0, sleep_time=5)"
599543 ]
600544 },
601545 {
634578 "metadata": {},
635579 "outputs": [],
636580 "source": [
637 "node_list = [\"0\",\"1\",\"2\",\"3\",\"4\"]\n",
638 "weighted_edges_list = [(\"0\",\"1\",10), (\"0\",\"2\",10),\n",
581 "# 首先导入必要的包\n",
582 "from search import Graph\n",
583 "import collections\n",
584 "import matplotlib.pyplot as plt\n",
585 "import collections\n",
586 "from IPython import display\n",
587 "import networkx as nx\n",
588 "import numpy as np\n",
589 "import time"
590 ]
591 },
592 {
593 "cell_type": "code",
594 "execution_count": null,
595 "metadata": {},
596 "outputs": [],
597 "source": [
598 "# 定义节点列表\n",
599 "node_list = [\"0\", \"1\", \"2\", \"3\", \"4\"]\n",
600 "\n",
601 "# 定义边及权重列表\n",
602 "weighted_edges_list = [(\"0\", \"1\", 10), (\"0\", \"2\", 10),\n",
639603 " (\"1\", \"3\", 10), (\"2\", \"3\", 5),\n",
640604 " (\"2\", \"4\", 20), (\"3\", \"4\", 14),\n",
641605 " (\"3\", \"2\", 5)]\n",
642 "nodes_pos = {\"0\":(1,7),\"1\":(5,1),\"2\":(5,13),\"3\":(9,7),\"4\":(11,13)}\n",
643 "h_graph = SearchGraph(node_list, weighted_edges_list, \"0\", \"4\", 3, nodes_pos)\n",
606 "\n",
607 "# 定义绘图中各个节点的坐标\n",
608 "nodes_pos = {\"0\": (1, 7), \"1\": (5, 1), \"2\": (5, 13), \"3\": (9, 7),\n",
609 " \"4\": (11, 13)}\n",
610 "\n",
611 "# 实例化图\n",
612 "h_graph = Graph()\n",
613 "h_graph.add_nodes_from(node_list)\n",
614 "h_graph.add_weighted_edges_from(weighted_edges_list)\n",
615 "h_graph.set_nodes_pos(nodes_pos)\n",
616 "\n",
617 "# 设置起点\n",
618 "h_graph.set_start_node('0')\n",
619 "# 设置目标点\n",
620 "h_graph.set_target_node(\"4\")\n",
621 "# 设置最大搜索深度\n",
622 "h_graph.set_max_depth(3)\n",
623 "\n",
624 "# 显示无向图\n",
644625 "h_graph.show_graph()\n"
645626 ]
646627 },
680661 "outputs": [],
681662 "source": [
682663 "# 查看 dfs 的搜索过程\n",
683 "h_graph.animation_search_tree('dfs')"
664 "h_graph.animate_search_tree('dfs')"
684665 ]
685666 },
686667 {
6565 :param start_node: 起点
6666 :return:
6767 """
68 if start_node not in self.nodes:
69 print('起点不在图中,请输入正确的起点')
70 return
6871 self.start_node = start_node
6972 self.path_score = {self.start_node: 0}
7073 self.changed = True
7578 :param target_node: 目标点
7679 :return:
7780 """
81 if target_node not in self.nodes:
82 print('目标点不在图中,请输入正确的目标点')
83 return
7884 self.target_node = target_node
7985 self.path_score = {self.start_node: 0}
8086 self.changed = True
241247 # 完成搜索后,可得到搜索树中各个节点的坐标
242248 self.get_search_tree_node_position()
243249
250 def dfs_bfs_search(self):
251 """
252 如果对起始点,目标点或搜索深度进行了设置,需要重新绘制搜索树
253 :return:
254 """
255 self.dfs_search()
256 self.bfs_search()
257 self.changed = False
258
244259 def get_search_tree_node_position(self):
245260 """得到绘图时各个节点的坐标
246261 """
277292 :param origin_info_weight: 原始信息的比重
278293 :return:
279294 """
295 if not self.help_info:
296 print('缺少额外的辅助信息')
297 return
280298 # 存到类属性中,便于绘图时使用
281299 self.help_info_weight = help_info_weight
282300 self.origin_info_weight = origin_info_weight
382400 """
383401 # 如果对起始点,目标点或搜索深度进行了设置,需要重新绘制搜索树
384402 if self.changed is True:
385 self.bfs_search()
386 self.dfs_search()
387 self.changed = False
403 self.dfs_bfs_search()
388404
389405 # 创建子图
390406 fig, ax = plt.subplots()
519535 """
520536 # 如果结束搜索,展示最终的最短路径
521537 if finish:
522 top_text = '最终最短路径为: %-7s' % this_path + '。距离为:' + str(
523 self.path_score[this_path]) + '\n'
538 if this_path:
539 top_text = '最终最短路径为: %-7s' % this_path + '。距离为:' + str(
540 self.path_score[this_path]) + '\n'
541 else:
542 top_text = '未找到正确路径'
524543 # 如果是其他路径,并且是展示 dfs 或 bfs 的搜索过程,展示当前路径的信息
525544 elif this_path and animation_type in ['dfs', 'bfs']:
526545 top_text = '当前路径: %-7s' % this_path + '。距离为:' + str(
549568 :param sleep_time: 设置每一步的等待时间
550569 :return:
551570 """
571
572 # 如果对起始点,目标点或搜索深度进行了设置,需要重新绘制搜索树
573 if self.changed is True:
574 self.dfs_bfs_search()
575
552576 # 根据展示的搜索方式,获取展示的路径列表
553577 if animation_type == 'bfs':
554578 paths = self.bfs_paths
628652 self.show_search_tree(top_text=top_text,
629653 this_path=e_path,
630654 show_success_color=True)
655
656
657 # 定义节点列表
658 node_list = ["0", "1", "2", "3", "4"]
659
660 # 定义边及权重列表
661 weighted_edges_list = [("0", "1", 10), ("0", "2", 10),
662 ("1", "3", 10), ("2", "3", 5),
663 ("2", "4", 20), ("3", "4", 14),
664 ("3", "2", 5)]
665
666 # 定义绘图中各个节点的坐标
667 nodes_pos = {"0": (1, 7), "1": (5, 1), "2": (5, 13), "3": (9, 7),
668 "4": (11, 13)}