diff --git a/docs/source/notebooks/envelopes.ipynb b/docs/source/notebooks/envelopes.ipynb index f8e1d9e..6cd784b 100644 --- a/docs/source/notebooks/envelopes.ipynb +++ b/docs/source/notebooks/envelopes.ipynb @@ -328,7 +328,20 @@ { "cell_type": "code", "execution_count": 12, - "id": "6843e64f-6200-42d0-80ff-038813cf8de7", + "id": "8bbd5552-2ac9-4fda-b849-2d2347c7945e", + "metadata": {}, + "outputs": [], + "source": [ + "L = [6,8,6,8]\n", + "EI = 30 * 10e9 * 1e-6\n", + "R = [-1,0,-1,0,-1,0,-1,0,-1,0]\n", + "beam_analysis = cba.BeamAnalysis(L, EI, R)" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "id": "ffae6de3-d8bb-4680-9931-d60668207eeb", "metadata": {}, "outputs": [ { @@ -345,11 +358,6 @@ } ], "source": [ - "L = [6,8,6,8]\n", - "EI = 30 * 10e9 * 1e-6\n", - "R = [-1,0,-1,0,-1,0,-1,0,-1,0]\n", - "beam_analysis = cba.BeamAnalysis(L, EI, R)\n", - "\n", "LMg = [[1,1,20,0,0],\n", " [2,1,20,0,0],\n", " [3,1,20,0,0],\n", @@ -367,8 +375,79 @@ "lp = cba.LoadPattern(beam_analysis)\n", "lp.set_dead_loads(LMg,γg_max,γg_min)\n", "lp.set_live_loads(LMq,γq_max,γq_min)\n", - "env = lp.analyze()\n", - "env.plot(figsize=(9,6));" + "env_udl = lp.analyze()\n", + "env_udl.plot(figsize=(9,6));" + ] + }, + { + "cell_type": "markdown", + "id": "fd99e06d-8745-4544-9c11-57268623c02b", + "metadata": {}, + "source": [ + "## Example 4: Augmenting Envelopes\n", + "Here we augment an envelope due to a moving vehicle to the 4-span beam just considered, illustrating that mixed analyses are possible.\n", + "\n", + "The vehicle used is from the Australian bridge design standard, AS5100.2, M1600, with a 6.25~m axle spacing." + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "id": "e592a809-6d79-4d26-bf41-2bfbd9522ecb", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "vehicle = cba.VehicleLibrary.get_m1600(6.25)\n", + "bridge_analysis = cba.BridgeAnalysis(beam_analysis, vehicle)\n", + "env_veh = bridge_analysis.run_vehicle(0.1)\n", + "env_veh.plot(figsize=(9,6));" + ] + }, + { + "cell_type": "markdown", + "id": "762e1b10-a074-4e7f-85df-67533cdf02cc", + "metadata": {}, + "source": [ + "Next, establish the envelope of envelopes, and augment both in, then plot:" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "id": "3bd29c4c-3827-44e2-a5ca-c2473aeaca99", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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ybwXx75WF6gY5TjCzCcDK5bcz1m3ZcCGG+pg1yxvP224LTSr5115vPejcGR57rMFDKwq//ea9vXPmwJQpaUdTf888A59+CkceWfVA8M6dfaKZJ59s2NhCwXnazPY3s79XtQCv1XKfw4HySiBD8AZ8+fp9k2oi6wPTklSSZ4HNJXVIBjdunqwLIYSCls1U6adL+nNiGUkn4ANSQhF47jnvfd1558ofb9LE00RGjPDGZFjQ88/Pv33bbenFkSsXXQRdu8Kuu1a/3TbbwJtvlsaPilA3ZrZ3fbaRdB/eAF9R0kRJBwAXAQMlfY4PnL8o2XwEMB4Yh/ecH5Ls/0e8NOxbyXJOsi6EEApaNg3s7YALJG0i6Xy8XFI0sIvEww97ikN1V562394b4S+80GBhFY0HH5x/++abPcWiWL36KrzyChx/PLRoUf225fn6USc9SDpXUrOM+20l1TgXgpntYWZLmllzM+tqZrea2VQz28zMljezAeWN5aR6yKFm1tPMVjOz0Rn7uc3MlkuWmIMhhFAUspkq/Qe8kX09sBRequ/3XLy4pK8kvS9prKTRybpaT0QQKvfbb16eb/vtF6x1XFH//rDIIpEmUtHs2Qu+J1995VcEitWFF0KnTjB0aM3brr66VxiJCjMBH6vzhqTVJQ3Ee5LHpBxTCCEUtOrK9P0iabqk6fhluxWAXYDydbnSz8x6mVn5ELxaTUQQqjZyJEyfDrvsUv12Cy3kA9sefxzmzm2Y2IrBs8/6+1duscV89sNiNHas90YfdRQsvHDN20ueJjJypP/QCI2XmZ0MnIBPNnYHsLWZXZduVCGEUNiqG+TYxszaZiwtzWyR8vV5jKm2ExGEKjz8sE8astlmNW+7/fbw7bfwxht5D6toPPAAdOw4//7++3uP7vjx6cVUF/PmwXHHQZs2cOih2T9vm228ZnaBV0IKeSapD3ANcA5eweNaSUulGlQIIRS4Ksv0SepuZl9V87iALmY2sR6vb8BzSS3Um5IyS7WdiGByxrqc1EIthvqKVSmP/Y8/xCOPbMiGG07lv//9pMJWfQEWOMY2bZrSrNlGXHPNRH7/Pb0WZKG897NnN+HRRzdiwIBvefJJb0v07v1fmjRZn0MP/ZYTT6x8zqVCiT/Tffd1Y9SonhxzzKeMHTu5iq36Agt+Jpo1a0LLlhtx001TaNny87zHWV+F+N6XiMuAXczsI/izPvYLwEqpRhVCCIXMzCpdgIeAR4B9gVWAxYGlgf74qO7/AgOren42C95AJ9n3u3hN1Z8rbPNT8vdJYOOM9aOA3tXtf+2117a6ePHFF+v0vEJQHvvTT5uB2fDhf93GC1j+df2gQWZLL202d25+Y6xOobz3Dz7o79GoUQu+X0cdZda0qdnHH1f+vEKJv9zrr5s1a2a2yy5m8+ZVvV1Vn4nttvPPRHXPLRSF9t5XBRht9ThvNvQCNK1kXce046puqeu5P9dS/0yW/8fO8fLiZZflfr8pH1dejimOK29S/7+VqO58Xl2KyC7A6cCK+ADHV/CapUOBT4H+Zjayno37Scnf74BHgXVJJiIAyHIiglCJhx7ylIDNN8/+OXvvDf/7n1eaaOweeMDrQW+66YLrTz7Z39fDDvOzTCGbOhV23x26dIFhw6que12dwYP9MzF2bM7DC0XCzOZK2lrSCZLOkHQGUItkoxBCaHyqrSJiZh+Z2alm1tfMVjSzNc1sTzO728zqNfRJUmtJbcpv4xMIfEDtJyIIFcyaBY884nnVCy2U/fO2396ridx1V74iKw6//AJPPeWDQ5s2XfCxxReH88+HUaMWLOFXaObM8VrX33zjPxbat6/bfrbbzmulP/JITsMLRUTSP4HdgMPxWR13AZZJNagQQihw2dTBzpfOwKuS3gXeBJ4ys2eo5UQE4a+eeAKmTYMhQ2reNlPr1rDTTt77PWtWfmIrBsOHe+WM3Xar/PGDDoK11oJjjvHGeCE6/niva37TTT5bZ1116uS9+P/+d+5iC0VnQzPbF0/XOxvYAK8qFUIIoQqpNbDNbLyZrZEsq5jZ+cn6Wk9EEBZ0xx0+W1/fvrV/7j77eGm64cNzHlbRuOcerwG94YaVP960KdxwA0yeDKee2rCxZeOOO+Cqq+CII2C//eq/vx13hI8/9iU0SuU/t39Nqof8AUQFpxBCqEaaPdghD6ZMWYhnnoF99/1rekM2+vb1xnljTROZMsUnk9l7b0+NqMp663ke9rXXwksvNVx8NRk1Cv7v/3zmzssuy80+d9jB/z76aG72F4rOk5LaA5cCbwNfAfelGVAIIRS6GhvYkkZlsy4UhvKScgceWLfnN20Ke+0FzzzjdbEbm/vu88l29tmn5m0vvBB69oS//92nmk/bu+96Y3iFFTylo7rZO2ujSxdYf/1IE2mszOxcM/vZzB7Bc69XMrPT044rhBAKWXUzObaUtCjQSVKHZArzRSV1x+tPhwLz228wYsSSbLMNLFOPIUj77OONzPvvz11sxeLOO2GddeBvf6t529at4V//8inUTzgh76FVa8IE2HJLn1jomWfqPqixKjvuCGPG+LGGxkVSU0nbSToCrx5ygKRj0o4rhBAKWXU92AcBY/DJBMZkLI8DMU1uAXrkEfjppxYcUs/hn6us4oP4br+98EvR5dL773s5un33zf45m2zigx1vvDG9Shvjx3tqz6+/euO6a9fcv8aOO/rfSBNplJ4A9gM6Am0ylhBCCFWociZHM7sauFrS4WZ2bQPGFOrohhugS5dfGThw4Xrv64ADfFrtMWOgd+8cBFcE7roLmjXz2tG1ccEFXjt8//3hxhtb5ie4KnzwAQwa5FVfnn/efxzlQ8+esMYaniZy9NH5eY1QsLqa2eppBxFCCMWkxhxsM7tW0oaS9pS0b/nSEMGF7L34IvznP7Dddt9UOzgvW3vtBa1awc03139fxWDuXLj7bth6ay9NVxstWnit6SZN4OyzV2mwEocjRnilk7lzoaws/z+EdtzRP2OTYnqnxuZpSbWYsiqEEEI2gxzvAi4DNgbWSZZG0qdZHGbO9B7n5ZbzBnYutGvnPbn33lu4tZ5zadQoL7tXm/SQTN27e3m8zz5rwwEH5De1Zt48uPhi2HZb71l+6y1YbbX8vV653Xbz4yrkCXZCXrwOPCpplqTpkn6RNL0uO5K0oqSxGct0SUdJOkvSpIz1W2U852RJ4yR9KmmLnB1VCCHkUTZ9nb2BjczsEDM7PFmOyHdgIXunnAJffgm33gotW87L2X4PPNCrYzSGwY633w4dOngPdl1ttx0MHTqe++6D007LTyP7m29g883hpJO8R/mVV/KTc12ZFVf03Pz7okBbY3MFPrnMwmbW1szamFnbuuzIzD41s15m1gtYG/gVKM/sv7L8MTMbASBpZWB3YBVgEHCDpDoUIA0hhIaVTQP7A2CJfAcS6ubVV70W82GHQZ8+ud33eut5z+iwYbndb6GZOtUHKO6zT+2mlq/Mnnv+jwMO8Lzs/fbLXe//rFlw0UWw8srw2mueuvPggz61fUPaYw/vMR83rmFfN6Tqa+ADs5z/ZNwM+MLMJlSzzWDgfjP7zcy+xGfyXTfHcYQQQs5l08DuBHwk6VlJw8uXfAcWajZzpg+sW2YZr8mca5L3Yo8eDe+8k/v9F4o774Tff/cJWupL8sbvWWf5oMnVV/f86Lr68UdPB1luOTj5ZK9a8s47MHSov1ZDK58+vjFc1Qh/Gg+UJakax5QvOdjv7iw4Yc1hkt6TdJukDsm6LngDv9xEokxsCKEIVFlFJMNZ+Q4i1M0RR3hP4qhR+evJ3GsvOP5478W+8cb8vEaazLxBvP76sOqqudmnBGeeCQMGeC92v34wZIg3itdf3yuVVGf6dHj2Wa/Y8fjj3nvdr5+nZuT6KkVtdevmjfz77vNp4tNo5IcG92WytEiWepPUAtgOODlZdSNwLmDJ38uB/Wu5zwOBAwE6d+5MWX1+2ebIjBkz0o0jV9O5VjCja1fKcr3v2rxPeTiuvBwTxHHlSer/t7JQYwPbzF6StAywvJk9L2lhIHLgUnb//XDbbd7I6dcvf6/ToYP3Wt59t/ektq1T5mXh+u9/4eOPPX891zbayOtqn3463HSTD4Js3x7WXhuWX95zp1skzZXvv/fqHGPHejxmsNhiPujykEO8J7xQ7LGHx/T++4UVV8gPMzs7D7vdEnjbzL5NXuPPeWMl3Qw8mdydBHTLeF7XZF1lcQ4DhgH07t3b+vbtm/uoa6msrIxU48jTl0PZZZfR97jjcrvT2mQg5eG48nJMEMeVJ6n/38pCNlVE/g94GLgpWdUFeCyPMYUajB8PBx0EG2zgPaX5duihPtjxjjvy/1oNbdgwaNNmfupDrrVuDVdc4RVKHnwQdt55/sDR007zGSBPOAGuucZL4PXo4eklZWX+nH/+s/AasTvvDE2bxmDHUifprFxsU4U9yEgPkbRkxmM74GN/AIYDu0taSFIPYHngzTq+ZgghNJhsUkQOxQeVvAFgZp9LWjyvUYUqzZrl5fMkL6HXvHn+X3OddWDjjb0He+hQr49dCn7+GR56yHuJW7fO72u1bQu77OIL+I//33+HP/7wsntt2hRPusVii8HAgd7AvuCC4ok71NrQGsrxCc+jPqs2O5XUGhiIzxZc7hJJvfAUka/KHzOzDyU9CHwEzAEONbO5tXm9EEJIQzaDHH8zs9/L70hqhp8EQwObNMkvz48e7b3J3bs33Gufd56/finlYd9zj/9gOfDAhn9tySuWLLKIN76LrZG6554wYYKXCQwl62YWnBq94rJIsk2tmNlMM+toZtMy1u1jZquZ2epmtp2ZTc547Hwz62lmK5rZ0/U8phBCaBDZ9GC/JOkUoJWkgcAhwBP5DStkev99uPxy77GeO9dvDx7csDFsuqnXXy4vP7foog37+rlmBtdf7/nQa62VdjTFZ8cdPXXo9tvTH3gZ8iNPudchhNAoZNODfRLwPfA+ftluBHBaPoMKnj7w4IPQv7/n4D70EPzjH/D553D00enEdMklXuHi4INTH99QbyNH+mDCI49MO5Li1Lo17Lqrf0ZnzEg7mhBCCKGw1NjANrN5Znazme1iZjsnt4u8eVW4xo/3esfduvnAuy+/9F7jr7/2gXDLLptebGus4QPwHnyw+Ae4XXUVdO7sjcRQN/vt57XYH3kk7UhCCCGEwpJNFZFtJL0j6UdJ0yX9UsPAl1BL333n6QobbQQ9e3pP8QYbwNNPwxdfeIO7UFIyTjgBNtzQy7RNqG7+tQL26af+3h58cP1nbmzMNtrIJ8C5/fa0IwkhhBAKSzYpIlcBQ4COZtbWzNqYWYlVQ25433wDt9wCW24JSy3lU53/8ovPyDhhAjz2GAwaBE2y+RdqQM2a+cyHZrDZZt6r/sUXaUdVO9de6/Wn//GPtCMpbpL3YpeV+ZWXUJokXSKpraTmkkZJ+l7S3mnHFUIIhSyb5tvXwAeRFlI/c+bAm296ikXv3tCli0/N/ckn3iv83nu+nHSST0BSyHr2hBEjvJF65JHei/m3v8Fxx8Fzz/kPhUL188/e47rHHp4iEupnyBAvFXnxxWlHEvJoczObDmyDl9BbDjg+1YhCCKHAZVNF5ARghKSXgN/KV5rZFXmLqhqSBgFX47NJ3mJmF6URR01mz/Zyei+/7Mt//uODwZo08emyL7gAttnGp+cuthJt4OkBH33kvddPPeXLtdd6hZOmTb0yxyab+LL22v6jIc3j/O03+PBDuPJKzxuOwY250bWrXwm49lrvxT7gANh+e2jZMu3IQg6Vf09sDTxkZtNUjCetEEJoQNk0sM8HZgAtgRb5Dad6kpoC1+OTFEwE3pI03Mw+SiumOXN8AOK4cfDuuz7V9dix3jM9N5kOYZVVYJ99vJzZgAHQqVNa0eZez55wxBG+zJjhU4+/8or/qLj+ep/FEHzK9V69fKDkKqv4YM0ePXwwZ7NsPoVZmjnTG/2ff+7/Jp9+Cu+8443rP/7wbfbYA9ZcM3ev2dhddBF07Aj/+pe/tx06wF57ee/22msX5w/IsIAnJX0CzAIOlrQYMDvlmEIIoaBl07RZysxWzXsk2VkXGGdm4wEk3Q8Mxmf5yol3h0/giw/n0Ly5N8h+/90nI5k6FX74Yf7y9dfeYzdhwvyGNHiPXq9esMMO3rjYZBNvfDSo77/3WWGq1Mv/jB1b8766ds36F8Eii3it7M039/u//QZvvz3/R8e778JNN/n7Wa5pU1h6aU/X6NgR5sxZiSeegPbtPQWlRQtPQWje3H/MzJ7tz581yxv0338P337rA0W//dbvZ1p8cf/32GIL71VfZx1v2P/Fb7/5r6JKM6F6+Z/K3q+FF/YcmUJLli83ZYovNerlf6r7TLRo4blAFVrMCy8MZ54Jp58OL7wAt97qU9Bfd53/kNptN3//27Wr60FkZ9y4RWjfPr+v8afvvoOZM1l9u+40aVravyDM7CRJlwDTzGyupJn4eTeEEEIVsmlgj5C0uZk9l/doatYFzwkvNxFYL2d7nzaNdQYvyR8sU81Gs4EfkpceD3yZ/P0CeJ+JE39k4kR48smcRVUruwMbANUXx0gakVl0484B9gIerG9gf2oCdAN6AMsyd24PvvyyB19+uRjQCejEs8/OBGqau3wOMBP4Llm+Tf5+DXwOjAPG8d13v/Dcc54bXp27gKpHbVX/fv0X2BMopKIqzYDzgOPwXKqaZfeZ+AK4HbgWmFbtlh2AHRg/fjcuvLA/F16Yw8sUVerdAK9RbnEAfpv0Ay2WKqFLUlVbCeiezORb7s60ggkhhEKXzbfewcBxkn4HkovsWKFWEpF0IHAgQOfOnSkrK6vV84/kCtZiLkP4nT/4A/gdb1RPxRvWv+Y24BzaEG/8vImXfplbxXYbszEtmcz2NeyvCXA6cAswBm9c1d88vCk6ASirZrtmQPNkaZH8nYNfpZ6d3M6N1fDG9W3A8Eoe78dqzKN5pe/X0sC5wFhgKFAIJaFXBO7Af3neAjzFn83nKg2gB7PoVu1noiP+Q+JcYE1gp2r3+BP+jt6WPHMtYOGagy8SF+L/P1795CiafJZ2NPkl6S6gJ/4xLz+tGNHADiGEKtXYwDazNg0RSJYm4d2f5bom6/5kZsOAYQC9e/e2vn371uoF+o6cAwMHssc998Cee9Yv2ob00Uew8cb82ro1m7z7LpvkqnD2//4HvXoxbuWV4dVXc7PPapSVlVHbf7N6O+AAuP9+9p84kf07dKj987/8EvbYg4ffeIMpAweyxN13e25KQ5s3z0cbnnSS523ceCNDd92VoVk+Pev3/pxz2PHMM7HRoz0PqkA02Gfnhx/83/fMM6F/A7xe+noDK0clqRBCyF5WiaOStpN0WbJsk++gqvEWsLykHpJa4BkRlXU61l3//sxaaim4+eac7javvv7ak1wXWoj3Lrkkt7PSLL00nH22l0F5/fXc7bdQ/Pgj3Hsv7L23j86rix49fGTn6aez+IsvwkoreRLy3KquIeTB6697eZqjjvIC5R98kL9pKo880suE/Otf+dl/oXv6ac/V32qrtCNpKB8AS6QdRAihCEn5WcaMyf0+cyybmRwvAo7EBxJ+BBwp6cKcR5IFM5sDHAY8C3wMPGhmH+b0RZo0YfLWW/vsGZ8VwbXfKVN8VOG0afD008xecsncv8Z++0HbtnD11bnfd9puv91HTh56aP3207w5nHMOo2+9FVZfHQ46yEum/PvfVQyczJEPPoDdd/epPydOhLvugieegHx8Dsq1awfbbgsPPDC/NEtj8thjXsi+gHrv86wT8JGkZyUNL1/SDiqEEApZNj3YWwEDzew2M7sNGITXQ02FmY0wsxXMrKeZnZ+P15gyaJDXjiv0XuzJk6FvX+/BfvJJL5eRD23awNCh8PDD3ogrFXPmeC3BjTf2RnEO/Lr00vDii3D//b7/nXaC1VaDf/7Ty57kwrx5Pmpz++193089Baee6j8I9967Yeri7bWXp0rUNHq01MyaBc88A9ttV7iVY3LvLGB74ALg8oylziR9Jel9SWMljU7WLSpppKTPk78dkvWSdI2kcZLek7RWvY4mhBAaQLbfEO0zbue52Fb6fl90URg8GG67DX4t0EGN06d743rSJL9k3adPfl/vsMO8YXfDDfl9nYb0yCNea/GYY3K7X8lr033wgc8rv9BCcPDBsMQS3tv88MNe97E2/vjDi4sff7wXH99iC8+JP/10+OorOO88r5PYULbc0lNq7rmn4V6zEIwa5eeE7bdPO5IGY2YvAZ8AbZLl42RdffUzs15mVl7+5SRglJktD4xK7gNsCSyfLAcCN+bgtUMIIa+yqSJyIfCOpBcBAX2Yf+IrXUcc4Q2we+7xOc0LzcUXe4/liy96se1869HDf3QMG+aNulat8v+a+WTm7+GKK/px5UOzZj7D0N57w2uveWP7kUc8tQJ8Gs811vAYll7ai38vvLDX5J45068WfPWVz5Tz9tvee9q8OfTvDxde6MXWF6q+IGPetGjhOd533eU98w3ZuE/TY495ulRDD8RNkaRdgUvxsj8CrpV0vJk9nOOXGgz0TW7fkbzeicn6O5NBlq9Lai9pSTObnOPXDyGEnMmmish9ksqAdZJVJ5pZNjNXFLdNNvGUi6uu8ioThXQ5eNIkn/N7jz0a9ov+yCPh0Uf9R8fQbGtTFKiRI73heuut+f+3lWDDDX257jpvbL/8svdAv/xy9b3Abdp4Q/ygg3x++s039wZeIdhrL5856LHH/EdEqZs71/Pbt9rKf2A0HqcC65jZdwDJTI7PA/VpYBvwnCQDbkqqP3XOaDRPATontyub/6ALEA3sEELBqrKBXUmeW3ny7VKSljKzt/MXVgGQ4NhjvQfyiSfy18tZF2ed5fm95+clBb1qffr4j44rroC//92nYSxWF13kA9X22qthX7dZM//xlnnVYeZMn4Zy2jS/3bKlXyHo0oWGm5qwDjbayHve77mncTSwX3/dZ3BsROkhiSbljevEVLJPL6zKxmY2SdLiwMhkKvY/mZklje+s1XcOhHyYMWNGunFcdlledjuja1fKcr3v2rxPeTiuvBwTxHGV6mcwC9X1YI/GyzP9kNzPHDllQP+cRlKIdt/da92ef74PamqIwWM1+egjzw0//PAq5vzOI8lrLO++Ozz4oPegF6M33/TUmssvTy/FIlPr1j6neLFp0sRrxV96qTc806j93ZAee8xTdLbcMu1IGtozkp4F7kvu7waMqM8OzWxS8vc7SY8C6wLflqd+SFoSn5oVspj/INlXveZAyIdU6vpn6tcvL7stu+wy+h53XG53WptqS3k4rrwcE8RxlepnMAvV9UIcA0zHp877F7CtmfVLltJvXIP3Np54Irz1Fjz/fNrRuJNP9nzX005L5/V32cUrV5T3ohejiy/2AXqFmFtfbPbay1MnyvPKS5UZPPRQYaXoNBAzOx5vuK6eLMPM7MS67k9Sa0ltym8Dm+OdOcOBIclmQ4DHk9vDgX2TaiLrA9Mi/zqEUOiqbGCb2VVmtjFwON57MErSg5J6NVRwBWHIEL9U39DpGJUZMQKGD/de5E6d0omhSRM45xwfYHn33enEUB+ffOJ55Ice6vnNoX5WXdVLHJZ6NZHRo2HCBNh557QjSYWZPWJmxyTLo/XcXWfgVUnvAm8CT5nZM8BFwEBJnwMDkvvgveXjgXHAzcAh9Xz9EELIuxrz6MxsPN6T8Bx+GW+FfAdVUBZaCI47Dl56Kd1e7Jkz4ZBD4G9/y31ZudoaPNgn2TjnHPj993Rjqa0LL/Qc5yOOSDuS0rH33vDGG/7jpVQ9/LBf0SqksRh5JunV5O8vkqZnLL9Iml7X/ZrZeDNbI1lWKZ/PwMymmtlmZra8mQ0wsx+T9WZmhyZzH6xmZqNzc4QhhJA/VTawJS0r6RRJbwBnA+8CfzOzBxssukJx0EFee/iQQ3zWvzScfbb3oN10U/p5wxKcey58+WVxTZf99tteVu7QQ2GxxdKOpnTsu6/nJv/zn2lHkh9m3sAeMMBTixqJ5AomZtbGzNpmLG3MrHHlyYQQQi1V14M9DtgVeAZ4DVgaOFjSMZJS7kJtYK1awY03wuefe/WJhjZ2rFfuGDq0YWpeZ2PQIJ+e+7zz0vvRURtmXhWmY8f08tdLVefOnjpx++1+paXUvP66T0i0665pR5IKSXdlsy6EEMJ81TWwzwEeBeYBizB/Fq/ypXEZONArJlx4IXz6acO97ty53oO+6KI+OK9QSN64njjRJ58pdI8/7iV4zjkH2pX8ZKQN75BDvMzgfffVvG2xuf12nwCokeZfA6tk3pHUDFg7pVjyR8r9MmZMfvYbQih4VZbpM7OzGjCO4nDFFT7Q8B//gBdeaJgT3Y03elm5u+/2RnYh6d/fJ7q54ALvXV944bQjqtzvv/sU4yuvHJVD8mWjjby6zA03+MRMpdIImDUL7r/fG9eNbFCspJOBU4BWGTnXAn4nKYcXQgihcgU0PWER6NzZe5HLynza63ybNAlOOWV+73khOvdcnyTl+uvTjqRq118P48Z53etmNU5eGupC8l7sd97xH4Sl4tFHYfp02G+/tCNpcGZ2oZm1AS6tkH/d0cxOTju+EEIoZNHArq2hQ2HjjX3a8AkT8vtaRxwBf/zhvdiF2iO48cawxRb+w2N6nQsL5M/UqZ4WMmiQLyF/9trLe3lvuCHtSHLn9tuhe3fYdNO0I0nTm5L+zKuS1F7S9inGE0IIBS8a2LXVpIn3Xs+bB7vt5peQ82HYMPj3v+GMM7yCSSE7/3z48Uef9bLQHHOMN/zzNF1ryNCmjVcUeeAB+OGHmrcvdF9/7aU5hwzx//eN15lmNq38jpn9DBTgf/YQQigcNX5rlFcNqbAc0OgmnMnUo4f3bL35pqduzJ2b2/0//bRfbt9yS88dLnRrr+0DMa+5xiueFIr77/cfQ6edBqusUvP2of4OPRR++600SvbddZdXn9l337QjSVtl3xORaxVCCNXIplumN/APoEuyHAQMAm6WdEIeYytsO+4IV10Fjz3mqRy5msP+7bd9OvLVV/eewGLJGb7gAp9dcuhQT2tJ24QJPhh1gw3g9NPTjqbx+Nvf/Ifhddd5Q7tYmfmP6E03hWWXTTuatI2WdIWknslyBTAm7aBCCKGQZdPA7gqsZWbHmtmxeHmmxYE+wH55jK3wHXGE9zDfcIM3uKdNq/k51fnqK9h6a6/V/OSTxVW1oEMHzxUfM8ZzntM0dy7ss4+n8dx9d/H8SCkVxxzjA1/vvTftSOru+ee97v3f/552JIXgcLxyyAPJ8htwaKoRhRBCgcumgb04fkIt9wfQ2cxmVVjfOF18MVx5pTeIe/eG996r236++Qa22spzukeMgKWWym2cDWHHHT1f9YIL4LXX0ovjwgvhlVe8ekj0Pja8zTbzKzCXXJL79KmGctllsMQSsPvuaUeSOjObaWYnmVnvZDnZzEpwRqEQQsidbBrY9wBvSDpT0pnAf4B7JbUGPsprdMVAgqOOghdf9Fns1loL9t/fy8Jl6+23Yd114X//85STYs4XvuYaWHpp70GeMaPhX/+FF+Css2CPPWDvvRv+9YP/nzj1VPjkE3jkkbSjqb333oPnnvMrVAstlHY0qZO0mKRLJY2Q9EL5knZcIYRQyGpsYJvZuXje9c/J8g8zOyfp1dgrv+EVkY039gF+hx7qs9mttJKnj1Q3dfT33/v2667rVQr+8x+fuKWYtW3rAwvHj/djy1VuejbeeAO2287f+xtuKNzSho3Bzjv7xD7nnuupOsXk8suhdWvP4Q/gnSyfAD2As4GvgLfSDCiEEApdtrWn3gYewqdO/07S0vV5UUlnSZokaWyybJXx2MmSxkn6VNIWGesHJevGSTqpPq+fN4svDldfDV9+6bmbl10Gyy3nDe1nnvFG54QJMGqUVwlZbjm46SavwPH227DGGmkfQW5ssomXF7zzzobLx37vPR9ct8QSMHIktG/fMK8bKtekiVdv+eADvypTLCZO9NzxoUN9XEEA6GhmtwJ/mNlLZrY/0D/toEIIoZDVOPpL0uF4zdNvgbn4VLkGrF7P177SzBYoTixpZWB3YBVgKeB5SSskD18PDAQmAm9JGm5mhZmissQScPPNXt7rssu82kjFOsytWvkELRdc4JUXSs2ZZ/qPibPOgi5dvMGSL59/Dptv7lO1P/88LLlk/l4rZG/XXf3f/5xzYIcdiuOKwjXXeI/7UUelHUkhKS8LNFnS1sA3wKIpxhNCCAUvm/IKRwIrmtnUfAcDDAbuN7PfgC8ljQPWTR4bZ2bjASTdn2xbmA3scpts4stPP3l1jQkT/Mt7mWU8LaSUe1klnyxnyhS/1N65M2y7be5fZ8wYH1w5d67nwXfvnvvXCHXTtKn3Yu+7LzzxhKfvFLJp0/yK0i67xOdoQeclMzkeC1wLtAWOrsuOJHUD7gQ64x01w8zsaklnAf8HfJ9seoqZjUieczJwAN7Bc4SZPVuPYwkhhAaRTQP7a6Ce9ecqdZikfYHRwLFm9hNeZ/v1jG0mJuvK48hcv14eYsqPDh1gwIC0o2h4zZvDQw9Bv36w005wxx0++DAX5s3z6i0nn+yN9+eeK80rAcVujz28B/vUU71KTiGXTLz8cp/188QT046koJjZk8nNaUC/eu5uDn6+f1tSG2CMpJHJY1lf1TSzIi1PE0JoLLL5thsPlEl6ioyyfGZ2RXVPkvQ8sEQlD50K3Aici/dgnAtcDuyfZczVknQgcCBA586dKSsrq/U+ZsyYUafnFYJCjL3ZGWew6mmn0X7PPfnf8OF8uf/+WPPmlW6bTfwLTZnCCldeScc33+T7TTbh0+OOY860aVAAx12I73+28hV7p333ZdUzzuDzY45h0o475nz/5eoTf/Mff2T9Sy9lat++fFQgn6VCkaTp3YiXZ11V0urAdmZ2Xm33ZWaTgcnJ7V8kfcz8TpTKVHVVM8U6oCGEUDNZDVUektJ8f2FmZ+ckAKk78GRy4j452feFyWPPAmclm55lZlsk6xfYriq9e/e20aNH1zqmsrIy+hZpNY+CjX32bC97dvPNPrX6vffCCiv8ZbNq4//wQ7j1Vp+GW/K89n/8o6Byewv2/c9C3mI3g0GDvMrLZ5/5YOA8qFf8Rx7pddM/+qjSz2UuSRpjZr3z+iI5JOkl4HjgJjNbM1n3gZmtWs/9dgdeBlYFjsEnLptOxlVNSdcBr5vZ3clzbgWeNrOHK9lfZufK2vfff3/tAhqT+8kpZ3TtyiITJ+Z8v6y9dnbb5eGYIE/Hle0xQWn+W0FpHlepfgYT/fr1q/p8bmYNvgBLZtw+Gu+hAL8M+C6wEF4SajzQFO9pH5+sa5Fss0pNr7P22mtbXbz44ot1el4hKPjY//1vs0UXNVt4YbNjjzX77LMFHv5L/NOnm915p9lGG5mBWfPmZnvsYTZhQsPFXAsF//5XI6+xf/KJ/9vtv3/eXqLO8X/1lVmLFmZDh+Y0nqoAoy2F825dF+Ct5O87GevG1nOfi+DTre+Y3O+cnOubAOcDtyXrrwP2znjercDONe2/Tud+/ymY0+XFyy7Ly37TPKa8HVdj/7cq1eMq1c/gn4dX9fm8yhQRSVeZ2VGSngCskoZ5fUYsXSKpV7Lfr/A625jZh5IexAcvzgEOtSTXTtJhwLPJSfg2M/uwHq8f0rLDDj7A89hjvaTh5Zf7zH9bbQWLLUbHCRO8t/vDD31Gy1degT/+8F7Fyy7zmSI7dUr7KEJtrbiiV+a49FI48EBYr4CGUJx1ll8FOfPMtCMpVD9I6knyPSBpZ5I0j7qQ1Bx4BLjHzP4NYGbfZjx+M1Ce9z0J6Jbx9K7JuhBCKGjV5WDflfy9rJpt6sTM9qnmsfPxHoyK60cAI3IdS0hBly5w//1eYeS223w59lgAVsvcbpVVvFG27bY+kU8BpYKEOjj9dLj7bq8B/+abXmUkbR984PXajzoKunZNO5pCdSgwDFhJ0iTgS6BOk4xJEt4L/bFljOORtKR5fjbADsAHye3h+MzBV+CDHJcH3qzTUYQQQgOqsoFtZmOSvy81XDihUVliCTjlFF9++AF+/pnRL7xA71VW8TJpXaob+xSKTps2Xvll993973HHpRuPmedet2vnn8FQKfPyqAMktcZTOH7FK3tMqMPuNgL2Ad6XNDZZdwqwR22vaoYQQiGrLkXkfSpJDSlnZvWdaCaE+Tp1gk6dmDFxImy0UdrRhHzZdVd44AEvr9i3L/ROcazfo4/CCy/AtddCx47pxVGgJLXFe6+7AI8Dzyf3jwXew6dQrxUzexWfrKyiKq9OVnVVM4QQCll1KSLbJH8PTf6Wp4zsTTUN7xBCqJLklWBWWw3+/ncfYd6iRcPHMXUqHHYYrLqqV6IJlbkL+Akvifd/eIlVATuY2dgU4wohhIJXXYrIBABJAy0pzZQ4UdLbwEn5Di6EUII6dPBSi9tuCxdc4IMMG5IZ/N//eVrSiBGFPflNupY1s9UAJN2CD2xc2sxmpxtWCCEUviZZbCNJG2Xc2TDL54UQQuW22Qb22gvOPx/ee69hX/vWWz095MILoVevhn3t4vJH+Y0k73liNK5DCCE72XTdHADcJqkdfnnwJ3I062IIoRG7+moYOdKnU3/jDVhkkfy/5nvv+cDGzTaDo4/O/+sVtzUkTU9uC2iV3BdeM7ZteqGFEEJhq7GBnVQTWSNpYGNm0/IeVQih9HXs6DN6br6518a+5578lmL88UfYfnto397LBTaJC3HVMbMCqKMYQgjFqcYGtqSFgJ2A7kAzJV+AZnZOXiMLIZS+zTaDc8+FU0+FDTf0gYf5MG0abLklTJoEL7/sJSJDCCGEPMmmC+dxYDBeg3RmxhJCCPV30kmek33MMfDaa7nf/+zZMHgwvP22lwgspFkkQwghlKRscrC7mtmgvEcSQmicmjTx2RR794attoLnn4e1187NvmfNgl128V7re+7xFJEQQgghz7Lpwf6vpNVq3iyEEOqoQwcYNcrzowcMgLfeqv8+f/4ZttjCS/HdeKMPpgwhhBAaQDYN7I2BMZI+lfSepPclNXBdrRBCyeveHcrKvLE9YID3OtfV5Mmw6abw+utw331w0EG5ijKEEEKoUTYpIlvmPYoQQgBYZhlvWA8c6L3P110H++9fu+oin30GgwbBd9/BU0/5vkIIIYQGVGMPdjKjYzegf3L712yeF0IIddK1qzey110Xhg6Ffv3g009rfFqT2bN98pi11oLp0+HFF6NxHUIIIRU1NpQlnQmcCJycrGoO3J3PoEIIjdxii3kDedgwePddWH11OPRQePppL7lXbt48+OILuPpq1tt7bzjlFOjfH955B9ZZJ734QwghNGrZpIjsAKwJvA1gZt9IapPXqEIIoUkT+L//g+2284bzLbfADTf4+lVWgaZNvWd71iwAZq2xBgv9+9/Qp0/KgYcQQmjssmlg/25mJskAJLXOc0whhDBf585w661wzTU+pforr3iVkXnzPH1klVVgrbUYO20afaNxXZIkDQKuBpoCt5jZRSmHFEII1cqmgf2gpJuA9pL+D9gfuDm/YYUQQgWtW3v6R//+lT9eVtag4YSGIakpcD0wEJgIvCVpuJl9lG5kIYRQtRob2GZ2maSBwHRgReAMMxuZ98hCCCEEWBcYZ2bjASTdj88uHA3sEELByqYHm6RBPVJSJ2BqfkMKIYQQ/tQF+Drj/kQg5rsPIRS0KhvYktYHLgJ+BM4F7gI6AU0k7WtmzzRMiCGEEEL1JB0IHJjcnSGp5tqO+XbccZ2AH3K+39rUhc+HfBxXKR4TxHHlS+F8Bpep6oHqerCvA04B2gEvAFua2euSVgLuAwq+gT1mzJgfJE2ow1Pz84FsGMUcO0T8aSrm2KF44q/yhBwqNQmfi6Fc12TdAsxsGDCsoYLKhqTRZtY77ThyrRSPqxSPCeK40lRdA7uZmT0HIOkcM3sdwMw+Udq/XLJkZovV5XnF8A9XlWKOHSL+NBVz7FD88YcqvQUsL6kH3rDeHdgz3ZBCCKF61TWw52XcnlXhMctDLCGEEMICzGyOpMOAZ/EyfbeZ2YcphxVCCNWqroG9hqTpgIBWyW2S+y3zHlkIIYQAmNkIYETacdRBQaWs5FApHlcpHhPEcaWmyga2mTVtyEAKTMH/w1WjmGOHiD9NxRw7FH/8ocQkeeElpxSPqxSPCeK40iSzyPYIIYQQQgghV5qkHUAIIYQQQgilJBrYIYQQQggh5FA0sEMIIYQQQsihaGCHEEIIIYSQQ9WV6St6nTp1su7du9f6eTNnzqR169a5D6gBFHPsEPGnqZhjh+KJf8yYMT/UdRKsEEIIxaGkG9jdu3dn9OjRtX5eWVkZffv2zX1ADaCYY4eIP03FHDsUT/ySJqQdQ6mra+dKrhXLj77aKsXjKsVjgjiufKuuw6SkG9ghhBAajqRBwNX4jIu3mNlFFR5fCLgTWBuYCuxmZl9J6g58DHyabPq6mf0jec7awO1AK3yymSOthvqyde1cybVi+dFXW6V4XKV4TBDHlW/VdZhEDnYIAebOpcmsWWlHEYqYpKbA9cCWwMrAHpJWrrDZAcBPZrYccCVwccZjX5hZr2T5R8b6G4H/A5ZPlkH5OoYQQsiVaGCHEOCUU1hv333hm2/SjiQUr3WBcWY23sx+B+4HBlfYZjBwR3L7YWAzSapqh5KWBNqa2etJr/WdwPY5jzyEEHIsGtghBPj+exb64QfYaSf47be0ownFqQvwdcb9icm6SrcxsznANKBj8lgPSe9IeknSJhnbT6xhnyGEUHAiBzuEAMC8pk1p8vrr0Ls3PPccLLlk2iGFxmMysLSZTU1yrh+TtEptdiDpQOBAgM6dO1NWVpb7KGtpxowZBRFHrpXicZXiMUEcV5qigR1CAOD3jh1pefPNsMce3pP94ouw0EJphxWKxySgW8b9rsm6yraZKKkZ0A6YmqR//AZgZmMkfQGskGzftYZ9kjxvGDAMoHfv3lYIA6AKZSBWrpXicZXiMUEcV5oiRaQxev99mDw57ShCIdpuO7j9dnjtNTjiiLSjCcXlLWB5ST0ktQB2B4ZX2GY4MCS5vTPwgpmZpMWSQZJIWhYfzDjezCYD0yWtn+Rq7ws83hAHE0II9REN7MZo9dVhqaXg55/TjiQUol12gZNOgmHD4Npr044mFIkkp/ow4Fm85N6DZvahpHMkbZdsdivQUdI44BjgpGR9H+A9SWPxwY//MLMfk8cOAW4BxgFfAE83xPGEEEJ9RIpIYzZgADzzDHTqlHYkodCcdx58/DEceSR8/jlceSU0bZp2VKHAmdkIvFZ15rozMm7PBnap5HmPAI9Usc/RwKq5jTSEEPIrerAbox49YNFF4cMPoU8fmFRpSmNozJo2hfvug8MO817so46C6uf2CCGEEEIiGtiN1dZbe+/111/DaqvB8IqpkqHRa9UKrrkGjjsOrrsOLr645ueEEEIIIRrYjdqmm8Jbb0HPnrDjjt5jGUJFF18Me+0FJ58Md9xR8/YhhBBCIxcN7MZupZXghRdgk028EXXzzWlHFApNkyZw222es7/ffpEuEkIIIdQgqwa2pCaS1pS0taT+khbPd2ChAbVpAyNGwKBBcOCBcPTRMHt22lGFQtKiBTz+OBxyCFx9NRxzDMybl3ZUIYQQQkGqtoqIpJ7AicAA4HPge6AlsIKkX4GbgDvMLL5pi12rVvDYY947edVV8Omn8O9/Q8uWKQcWCsbCC3sudvPm/hmZOBHuvjsmowkhhBAqqKlM33nAjcBByUxbf0p6sfcE9gHqlJgp6SvgF2AuMMfMektaFHgA6A58BexqZj8lkwxcDWwF/ArsZ2Zv1+V1QxVatIAbboC11oL/+z/Yfnt49FFvfIcAIHnJvmWW8V7smTPhkUfiMxJCCCFkqLaBbWZ7VPPYd8BVOYihn5n9kHH/JGCUmV0k6aTk/onAlvjsXssD6+EN//Vy8PqhoqFDPe926FAYPBgeegjatUs7qlAoJE8jatvWf4hts41f7YjPSMGTdE0Wm003s9PyHkwIIZSwmlJE+lT3uJm9nNtwABgM9E1u3wGU4Q3swcCdSU/665LaS1oymUo35Nr++3st5P33h5VXhlGjfEBkCOUOOMDTQ4YM8c/Gc895ycdQyAYDZ9SwzUlANLBDCKEeakoROb6SdQasDnQD6ju1mwHPSTLgJjMbBnTOaDRPATont7sAX2c8d2KyLhrY+TJkiDeut90WNtsMXnoJllsu7ahCIdl7b/jb3/xKR//+XpEmGtmF7EozqzalT1KHhgomhBBKVU0pIttm3pe0Ed6zMQU4PAevv7GZTUryuUdK+qTC61vS+M6apAOBAwE6d+5MWVlZrYOaMWNGnZ5XCLKJfb3Zs5k2ZQqfZHmMrS+8kF5HHcXcjTZi7NVXM3uJJeofaBUK8b1v88knNJk9m2m9etW4bSHGn40VJ0+m/bx5dY691UUX0evoo9Emm/DulVcys0eP3AaYhWJ97xuSmV2Vi21CCCFUr6YebAAkbQacjvc4X2BmI3Px4mY2Kfn7naRHgXWBb8tTPyQtCXyXbD4J7zUv1zVZV3Gfw4BhAL1797a+ffvWOq6ysjLq8rxCkFXsLVvSaoklWCLbY+zbF3r1onn//qx/0klw111eNzsPCvK9328/mDDBZ77cYotqNy3I+LNx553MbtKkfrGvtx707cs6J5wAw4bBDjvkLLxsFO17nwJJiwH/hw8m//N7wMz2TyumEEIoJdXWwU7qXv8XOA44zcz65apxLam1pDblt4HNgQ+A4cCQZLMhwOPJ7eHAvnLrA9Mi/7oBrbkmjBzpgx8HDIDnn087oobTOclS2nJLuOiimGSlKssvD2Vl0K2bzwz6r3+lHVGo2uNAO+B54KmMJYQQQg7U1IP9BJ7rPBU4QdIJmQ+a2Xb1eO3OwKNefY9mwL1m9oykt4AHJR0ATAB2TbYfgZfoG4eX6ft7PV471EXv3jBmjPdob7+9N7g32CDtqPKvXTtYcUXPRz/5ZHj3XbjnHv+xERa0/PLw3/96Tnb5IMg990w7qvBXC5vZiWkHEUIIpaqmBna/fL2wmY0H1qhk/VRgs0rWG3BovuL504sv0vynn/L+MkWrQwevFrHxxrDVVj7wcfXV044q/xZdFB58EM45B8491yfgufZaWGSRtCMrPC1bev30bbaBfff1iWl22SXtqMKCnpS0lZmNSDuQEEIoRdV2wZnZS2b2EjCj/HbGujYNE2ID69+fjXbaCebOTTuSwtW5s6eILLKI52Lfd1/aETWMZs3g7LPhhBPg9tth663h669rfFqjtPDCMHw4rL8+7LorHHlkTK1eWI7EG9mzJE2X9Iuk6WkHFUIIpSLba9w3S1q1/I6kPfBBj6XrlFOiQVCdZZbx3uvVVvNSbcOHpx1Rw5Dg4ou9gT16NAwaBNOjXVKpRRbxqx2HHw7XXON/I3+9IJhZGzNrYmatzKxtcr9tffcraZCkTyWNSyYKq/j4QpIeSB5/Q1L3ZP1ASWMkvZ/87Z/xnLJkn2OTZfH6xhlCCPmWVRURYGfgYUl7ApsA++KDEktPs2YwZw5ccgm0aQOnnuqNqvBXyy7rlTU22wx2281zsjfeOO2oGsaQIT6Yb/PNPTf92WchhdJ0BW/hheHqqz1t5NJLPV3kyivj/1RKJK1kZp9IWquyx83s7XrsuylwPTAQH7vzlqThZvZRxmYHAD+Z2XKSdgcuBnYDfgC2NbNvks6cZ/F5DsrtZWaj6xpbCCE0tKwa2GY2PjkZPgb8D9jczGblM7DUSEzYc0+W+fVXOP10b2QfeWTaURWuRRaBp56CjTbyCWlefrnxTDTSvz888YQP4ltnncbTi19b5b3+v//uje3Zs+GyyyJ/PR3H4PMEXF7JYwb0r2R9ttYFxiXja5B0Pz5zZGYDezBwVnL7YeA6STKzdzK2+RBoJWkhM/utHvGEEEJqairT976k9yS9h58MFwV6AG8k60rXQw/5IL6TT4YPP0w7msLWqZP34LZqBeuuC/ffn3ZEDWfLLeHFF6FtW9hpJ1pN+ktp9gDeyL7ySjj+eLjpJu/5nzEj7agaHTM7MPnbr5KlPo1rqHq23Uq3MbM5wDSgY4VtdgLertC4/leSHnK6FJc/QgiFr6Ye7G0aJIpC1KwZ3Hyz98auv76Xp1thhbSjKlzdu8Obb8Iee3jliMUX9x7exqBXL++93mADeg8d6p+ZxlBZpbYkT70qH/g4eLBf/WjZMu3IGp0knWNr/jrRzBVpxQQgaRU8bSQzBXGvZMbfNsAjwD7AnZU8t96z+OZaqc4uWorHVYrHBHFcaaqpgT3VzKrtZpK0SE3bFK2lloI33vDL/336+KC+FVdMO6rC1bWrp0xstJHP4vef/8Cqq9b8vFKw6qowdixz1luPpjvs4A3uVVZJO6rCVD4Jzb77evm+f//bc7NDQ3oCmA28D+RqNHc2s+2WbzNRUjN8spupAJK6Ao8C+5rZF+VPyJjx9xdJ9+KpKH9pYOdiFt9cK9XZRUvxuErxmCCOK001VRF5XNLlkvoksy0CIGlZSQdIehYYlN8QU7bccjBqlOeP/v3vUb6vJu3bw9NPQ+vWnj4xYULaETWcnj358Mwz4YcfYNNN4bXX0o6ocO2zD9xwAzz5pE9cFOUOG1pXM9vRzM40s7PLl3ru8y1geUk9JLUAdsdn4M2UOVPvzsALZmaS2uMzSZ5kZv8p31hSM0mdktvN8auqH9QzzhBCyLua6mBvBowCDgI+lDRN0lTgbmAJYIiZPZz/MFO21lo+qchrr/ll7Tlz0o6osC29NIwYAdOmebrECy+kHVGDmb7aan7Vo1kz6NfPf2yEyh18MNx1F3zwAQwcCN9/n3ZEjcnTknJaCSrJqT4MrwDyMfCgmX0o6RxJ5bP+3gp0lDQOH3BZXsrvMGA54IwK5fgWAp5NxvyMxXvAb85l3CGEkA81VhFJZvqK2b723BMmTYITT/RL23fe6Y2oULleveCdd3xK9cGDfSBg795pR9UwVlrJp1PfcEOfjObZZ70BGf5q7739B9kWW/ig4hde8Mo9Id9eBx6V1AT4AxA+YW69amFX9n1hZmdk3J4N/GVaTzM7Dzivit2uXZ+YQgghDdlONBMkr4Bw6qk+c+HFF6cdUeHr2dMblx07errIJ5+kHVHD6dwZxo6Fv/3Nf5y9+GLaERWuPn18GvryH2SzSrMCaIG5AtgAWDiXE82EEEJw0cCuDQnOO88nVTnrLO/FDtVbaimfgKZJExgwwCuNNBZt2ni5x9atYZttfABoqNy228Jtt3kP9uqrw1dfpR1Rqfsa+MAsptYMIYR8iAZ2XdxwA6y3HhxwgFdACNVbfnlvZJt52kRjes9WXtmrqXTr5pVVYuBj1fbd1z8nP/zgU9BPnZp2RKVsPFAm6WRJx5QvaQcVQgilIusGtqSNJf09ub2YpMY7L/Sii3pv5CqreJmxN95IO6LCt/rq8NFH/sNk990b1+C/Ll38M9Ktm5eoe+WVtCMqXAMGeInDr77yXu1ff007olL1JT6AvQXQJmMJIYSQA1k1sCWdCZwInJysao5XEmm8OnTwuthdu3qO7WefpR1R4WvXzquLrLaaNzQbU15yu3bec7/QQrDddp6bHiq3ySZwzz3w+us+cVE0snMuszRfDsv0hRBCSGTbg70DsB0wE8DMviF6O7zRdPfd8OOPfkk7avnWrF07b1z27Ol5yddfn3ZEDWfNNT0FolMnTxdpTIM+a2unnbw05vDhXiYzSvjlhKSzcrFNCCGE6mVbZ+73ZDIAA8icdKbR22QTnyxj4EDYeGMvz9a+fdpRFbZOnXzynv32g8MOg99+g2MaSfrn8svDyy97L/5WW3mvdq9eaUdVmA491N+vwYN9GTUKWrVKO6piN1TS9GoeFz5BzFkNE04IIZSmbHuwH5R0E9Be0v8BzxPF/ufbaCP/8p80yQc+RpmxmnXu7D9MdtkFjj0Wbr017YgazpJLwiOPeOrDNtt4KkSo3Oab+1Wi11/3QZDzcjWrd6N1MwvmXFdcFiHO7SGEUG9Z9WCb2WWSBgLTgRWBM8xsZF4jKzYbbAAXXOAT0ey5p9f1bd487agKW9Om3niaPh0OPNDL2i2+eNpRNYxNN/WBsjvs4L2z77/feI69tnbaCS67zH+IHXus327aNO2oilLkWYcQQsPIdpBjD+AVMzvezI4DXpXUPa+RFaMTToBLLoHHHvNGQZSYrVmLFt6bu8EGsNtu9Lzxxsbzvq2zjldTmTbNU4z+97+0IypcRx8Nhx8OV13l4x1+/z3tiEIIIYQqZZsi8hCQeW12brIuVHT88XDppd47eckljaexWB+tW/vAx3/8g24PPghnN6JOttVWg3vvhS++8JzsqEZTOQmuvhpuvBGef97zs+P/VgghhAKV7SDHZmb2Z5eRmf0uqUWeYip+xx7rtY5POgnmzoVTTkk7osLXujXccAOTv/qKJc8+GxZbzBtRjcGOO3r5vr32gp13hrfe8vthQRL84x9ereeCC3wa+sYyODaEEEJRybYH+3tJ25XfkTQY+CE/IZUAyatD7LgjnHoqnHtu2hEVB4nPjjvO60QffrhPnd1Yeim33tp7st9/3ydYmV5doYdG7txzPQXruOM8HSvUmqRLJLWV1FzSKEnfS9o77bhCCKFUZNvA/gdwiqT/SfofPunMgfkLqwQ0bQr33ecTZZx5JjzzTNoRFQVr2hTuv98HAR5wgDe0G0sje6ut4MorPQVi++1jqvCqNGkCd9zh9bF32AHOPz/tiIrR5mY2HdgG+ApYDjg+1YhCCKGE1NjAltQUONjM1gdWBlY2sw3N7Iu8R1fsWrSAYcNgxRW9h3L48LQjKg6tWvmELEcd5RPRnHde2hE1nPJjfuUV/4HRWH5c1Fbr1lBW5hV7TjsN7rwz7YiKTXl64NbAQ2Y2Lc1gQgih1NTYwDazucDGye0ZZjYj71GVkkUW8Rq+q6/uvW0PPph2RMWhWTO4/HKvfXzGGf5DpbE4+GC46CJ4/HHPOZ4zJ+2ICtMii8C//gX9+8PQobQfOzbtiIrJk5I+AdYGRklaDJidckwhhFAysk0ReUfScEn7SNqxfMlrZKWkXTt44QVYd13vlXzvvbQjKg5NmsAtt8CWW3qj85//bDw9ukcdBYcc4j8sBgyA775LO6LCVF7mcbnlWOX00+Hjj9OOqCiY2UnAhkBvM/sDmAkMru9+JQ2S9KmkcZJOquTxhSQ9kDz+Rma5V0knJ+s/lbRFtvsMIYRClG0DuyUwFegPbJss2+QrqJLUoYP3XrdqBeuv75UiQs2aN4eHHoJ+/byRfcIJaUfUMJo29VSRf/4T3njDU4wmT047qsLUvj089RTWvDn06RM/YLO3ErCbpH2BnYHN67OzJJ3wemBLPJ1wD0krV9jsAOAnM1sOuBK4OHnuyvgU7asAg4AbJDXNcp8hhFBwsmpgm9nfK1n2z3dwJadbN3jnHejYETbZBF5+Oe2IikPr1p6TfcghPovf1VenHVHDOegg/2E2dqynGf3nP2lHVJh69OCdq6/2Hu0YIFojSXcBl+Hpf+skS+967nZdYJyZjU/Kut7PX3vFBwN3JLcfBjaTpGT9/Wb2m5l9CYxL9pfNPkMIoeBkO5NjV0mPSvouWR6R1DXfwVURS3FfLuzSxXskl1kGdtsNPv887YiKgwTXXON57EcfDQ8/nHZEDWfbbeHtt703v0+fKE1XhVndunm6yKRJXiIzGtnV6Q1sZGaHmNnhyXJEPffZBfg64/7EZF2l25jZHGAa0LGa52azzxBCKDjZTjTzL+BeYJfk/t7JuoH5CKoqGZcLB+In2rckDTezjxoyjnpbailvIG68sedlv/IKrLpq2lEVvqZN4Z57fFrxvfeGX36B/fbzxnepW201+OQT2Hxz/2G2336w4YbQs6cvSyzRON6Hmqy/vtdP339//zHy0kvQqVPaURWiD4AlgJLJO5J0IEn52M6dO1NWVpZuQMCMGTMKIo5cK8XjKsVjgjiuNMmyGDQmaayZ9appXb5J2gA4y8y2SO6fDGBmF1a2fe/evW306NG1eo0HtBMjmcqtfA38D8hfBYeewGtAa+Ao4CcWnI8+X45hRe5nFa5rgNf6q8n4UdddB+AxoA9wNZDvRJuD6MJbrMdptX6mAa8C3+cslkWBS4C98IER5X4FxgNfZPydkkSQjb3pyLdsysE5i7S+vgLervOz+wIjgE/w9+v3areuvV9Ykemswn//eIgmzbIdyuIkjTGz+qZj1IukF4FewJvAb+XrzWy7qp6TxT5rPD9LejbZ5jVJzfCP6WLASZnblm+XPC3rc365upz786GsrIy+ffumHUbOleJxleIxQRxXvlV3Ps+2B3tqMsvXfcn9PfBBjw2tssuF62VuUJ9ejLlzYW/uZw7NkzVz8C/6ccDnyd/y218Bf9ThEOb7AlgTeAVoyCJ0q/AIH7FKA75iRUcA19b52T/hDai7gCOTJZ8Gcz3D65z2OR3YCXg+J7H8CAwFDga6A8viP9Qyl4HAwrXc76GczQ0U2tT0NwGHUJefnWXAjvhlt/uq37ROLmBHTuUCXnjueZotnO1ptKCclYd9vgUsL6kHMAkftLhnhW2GA0PwX9k7Ay+YmUkaDtwr6QpgKWB5vPGvLPYZQggFJ9tvhv3xFtGVeKfYf4G/5yuo+jCzYSTt1d69e1ttfuHMmwcfPvEZz475lkWW3oQvvmjGuHHL8fnny/H554P45Zf52zZp4mnUyy8Pyy0HK60Eu+8Oiy1Wh6BnzYKvv4bff693Gbq33nqLddZZp/qX23J5tlljHhdcVLuet1w480x49NFruOuua9i7komZa/Wr1AwmToSff85liH8x66DurP7LXO6+t2mN22a+/9OnwyGHtOXDD0dy/PFwwQUNlMVhBlOmwA8/ZP2UWWd0YdGy2ZS93LLmjfPMDO6+Gy699CD23vsgbr4ZWmYRVqWfnVmzYNy43Ad582JwLfTp358WLRv+/1F9mdlLkjrjgxsB3jSzetWCNLM5kg4DngWaAreZ2YeSzgFGm9lw4FbgLknj8N+LuyfP/VDSg8BHeM/GockcDFS2z/rEGUIIDaHaBrak9c3sdTObANT50mEOTQK6ZdzvmqzLiSZNYIVtVuCbRb6h4ve0mbdXPv/cv6/HjZt/+557YNo0uPRSePNNT4etlVatYIUVcnIMM6dO9Xzd6rSADh1r3iwf7r3XZwTff39PRe/fvx47k7wyS7duNW9bH4t4Gk8279fUqTMX2O6ll+CII3zemNdfh6efzq6xWC8SLLmkL9nqAM1azE7lM1GZSy7x8vGnnQajR/vs8V3qMrStVav8fNDL/483Kb7GNYCkXYFL8c5+AddKOt7M6jV62MxG4Nk5mevOyLg9m/ljeSo+93zgL/PeV7bPEEIodDV9O9xQfkNS/RJnc+PPS5CSWuC9Hw0y/7jkvdMbbuiTC55zDtx3n5ez/uknr542darPiTJ+fENEVJxatoR//9t7/nfYwRvcpax9e7jjDi+AUlbmlQZ/z3VCcIk69VR45hkvCtKvH3zzTdoRlZRTgXXMbIiZ7YuXwzs95ZhCCKFk1NTAzrygnfq146SsU/nlwo+BBwvhcqHkDe8HH4Qvv/SJ92LW5qq1b+89uauuCnvtBfffn3ZE+SXB4YfDSSf5zN7bbQczZ6YdVXHYYgtvZE+eHI3sHGtSISVkKtlPPBZCCKEGNZ1Qm0jqIKljxu1Fy5eGCLAiMxthZiuYWc/kkmLB2HprbwzMmuWV5KInu2pLL+2zx/fpA0OGNI45dy64AK64Ap591is0zpqVdkTFYcMN/T375hv/vLxd9+IiYb5nJD0raT9J+wFPEWkYIYSQMzU1sNsBY4DRQFu8btaYjHWhgvXX97zbuXNho41iRvTqLLQQPPooLLssDB4MH3+cdkT5JfkcOQ895Fc49t7bc/dDzTbcEJ57DmbPhk03jQkt68vMjscHg6+eLMPM7MR0owohhNJRbQPbzLqb2bJm1qOSZdmGCrLYrLACjBrlDciBA733LVRu0UVhxAh/r/r3hzff7JB2SHm3885w4YX+42KbbSLtIVsbbOCDiJdaCgYNgv/+N+2IipuZPWJmxyTLo2nHE0IIpSRy7vJkzTW9kd2tm5fvi3SRqvXo4b2TnTrBaaetxiuvpB1R/p10kg9+fOMN/xEWOdnZWWopePFFL5AyaFD0ZNeWpFeTv79Imp6x/CJpetrxhRBCqYgGdh717AmPP+4l/tZfH95/P+2ICtfqq3uVjSWWmN0o0kUA9tnHe+8//thLF377bdoRFYfyRnbnzp4ucuWVaUdUPMxs4+RvGzNrm7G0MbO2accXQgilIhrYebbssvDKK9C0qVdBeK0Qih0WqI4d4eKL36NFCy93OHly2hHl34ABMGyY92Rvvjl89lnaERWHLl28rvh228Exx8ANN9T8nDCfpLuyWRdCCKFuamxgS2oq6ZOGCKZUrbaap4u0awc77eSTD4bKLbnkbJ56yif12Wornw2x1A0d6iUe//c/2HbbxnHMudCxIzzwgL9nhx4KzzzTOe2QiskqmXckNQPWTimWEEIoOTU2sJPpaj+VtHQDxFOyVl4ZHnvMq0astZZPnhEqt/baXmnj/fdhjTXgo4/Sjij/ttvO04m++ALWWw++/jrtiIpD8+b+42SzzeDSS1fin//0lKxQOUknS/oFWD0z/xr4Fng85fBCCKFkZJsi0gH4UNIoScPLl3wGVopWWw1efRVmzPDUgMaQAlFXW27pdbJnz/bBbI2h179PH68sMnGiV8yIyYqy07Kl/zjp1etnDj4YDjssGtlVMbMLzawNcGmF/OuOZnZy2vGFEEKpyLaBfTqwDXAOcHnGEmppzTV9qvAvv/TZ/ULV+vTxGR9//tkb3D//nHZE+bfttl7W0Qx23DEGPmardWu49NJ3Oe44z8c+PSb9rsmbktqV35HUXtL2KcYTQgglJasGtpm9VNmS7+BK1aBBcNZZ8MgjcNppaUdT2Hr18l7dTz/1dJHG0Ku74Yb+2Zg40aeT/yRGQGSlSRO45BLPaT//fLg8ugCqc6aZ/TnNkZn9DJyZXjghhFBasmpgS1pf0luSZkj6XdLcqJlaP8ceC3vu6Q2Bq65KO5rCttlmXpZt3jzvyf7yy7Qjyr/11/eKM3Pnes5+TKqSHQn++U/YZRc47jg4/nj444+0oypIlZ37mzV4FCGEUKKyTRG5DtgD+BxoBQwFrs9XUI1B8+Zw++0+ycjRR/sAyFC1jTby1InffoMttoDvv087ovxbe20YPdonVdllF3j33bQjKg5Nm8Ldd8P//R9cdhkccID/OAsLGC3pCkk9k+UKYEzaQYUQQqnIug62mY0DmprZXDP7FzAof2E1Ds2bw1NPeRrEwQfDV1+lHVFhW3llePJJr7Cx9daNIyd72WU9Z//XX/1HxqhRaUdUHFq08Pri554Ld93lvdkx8HEBhwO/Aw8ky2/AoalGFEIIJSTbBvavkloAYyVdIunoWjw3VKN5c/jXv7wBtemmXv85VG3DDb328dtvw9/+1jhK+K2xBrz3nk8lP3CgTysfsnPqqXDEET7b48UXpx1N4TCzmWZ2kpn1TpaTzWxmXfcnaVFJIyV9nvztUMV2Q5JtPpc0JFm3sKSnJH0i6UNJF2Vsv5+k7yWNTZahdY0xhBAaUraN5H2SbQ8DZgLdgJ3yFVRj06sXjBzpFSP69fPSdKFq223ns/iBp4s0hprR3bp5I3uVVWC33bwsXaiZ5I3rPfeEk0+G/faLnGwASYtJulTSCEkvlC/12OVJwCgzWx4Yldyv+JqL4gMp1wPWBc7MaIhfZmYrAWsCG0naMuOpD5hZr2S5pR4xhhBCg8m2isgEQMCSZna2mR2TpIyEHFl3XU8F+OADn/o5LmdXr3dveOYZn/Vw881h6tS0I8q/tm09V79rV8/JjunBs9OkiY93OOUUuOMOz8mO/1/cA3wC9ADOBr4C3qrH/gYDdyS37wC2r2SbLYCRZvajmf0EjAQGmdmvZvYigJn9DrwNdK1HLCGEkLpsq4hsC4wFnknu94qJZnJvq608V/TGG31wVqjeGmvAE094VZGtt24cs2P27Akvvwwbb+zTg997b9oRFYfmzb1izznneE72SX/pX210OprZrcAfSdnV/YH+9dhfZzMrnzprClDZvPVdgMzrTROTdX+S1B7YFu8FL7eTpPckPSypWz1iDCGEBpNtWaaz8Et6ZQBmNlZSjzzF1KhdfDH8739wwgmeFrD77mlHVNj69PGc7N128wb3yy/7YMhS1qGDV1TZbDPYZx+vl33CCWlHVRxOOw2mTPF62Z07+9WiRqo8UWaypK2Bb4BFq3uCpOeBJSp56NTMO2Zmkmp9jUBSM+A+4BozG5+sfgK4z8x+k3QQ3jte6Q8BSQcCBwJ07tyZsrKy2oaQczNmzCiIOHKtFI+rFI8J4rjSlG0D+w8zmyYpc11cZM2DJk38MvaUKTBkiJdo23TTtKMqbIMHewm7fv18EOB//gPdu6cdVX41b+7pIgccACeeCJ99Bjff7DnHoWoSXHONj3c49lgfLHvHHV7ar5E5L5nJ8VjgWqAtcHR1TzCzAVU9JulbSUua2WRJSwLfVbLZJKBvxv2uJJ02iWHA52Z2VcZrZiZ/3QJcUk18w5J90Lt3b+vbt29VmzaYsrIyCiGOXCvF4yrFY4I4rjRlO8jxQ0l7Ak0lLS/pWiCmvsiTli298dSzJ2y/PbzzTtoRFb4VV/TqGrNmeSN7ypS0I8q/RRf13vujjoJbb/VBfHPmpB1V4WvaFO67D844A+65x6uMNLacbDN70symmdkHZtbPzNY2s/qk/Q0HhiS3hwCVDcN9FthcUodkcOPmyToknQe0A47KfELSWC+3HfBxPWIMIYQGk20D+3BgFbxW6n3AdCqcCENudegATz8NrVt7vm1jKEdXX6uuCiNGwDffQP/+MKYRTJvRogVccYWnilx8sacUTY85VmvUvDmcfbbP9HjDDY2vhJ+kFSSNkvRBcn91SafVY5cXAQMlfQ4MSO4jqbekWwDM7EfgXHww5VvAOWb2o6SueJrJysDbFcrxHZGU7nsXOALYrx4xhhBCg8kqRcTMfsVPgKfWtG3InWWW8XJ0a67pZcZeeMF7LUPV1l/fJ6PZe2/o2xeefx7WWy/tqPJL8jSHFVaA00/3HP6XXoJWrdKOrPBddJEPjj35ZK8zfsABjSbN5mbgeOAmADN7T9K9wHl12VmSyrFZJetH4zP/lt+/DbitwjYT8SpVle33ZODkusQUQghpyraKyAqShkl6Lkc1U0OWunb1EmPvv+8D+mbWeSqIxqNfP3jrLVh8cRg0CMaOTTui/JN8AN9DD/mxb7GF9+SH6jVp4hM9DRjgU6sfdlijSRdZ2MzerLAuEoxCCCFHsk0ReQh4BzgN7/UoX0ID2Hprn1jkww9hgw2ikZ2NpZbyacXbtPE62R83kszNnXeGW27x9Jg+fRpHmkx9tWjhqUVHH+3pIldckXZEDeIHST1JBqtL2hmYXP1TQgghZCvbBvYcM7vRzN40szHlS14jCwvYZpv5E9EcfXSj6WWrl+7dPUWkSRPvofzkk7QjahgHHABPPeUzgm61lVcYCdVr3txrz++8s+dlP/102hHl3aF4eshKkibhY2r+kWpEIYRQQqptYEtaNJne9glJh0hasnxdsj40oB128Ilobr4ZDjoo7WiKwworeCP7t998SvpHHkk7ooZRnn/+++9eH/zJJ9OOqPCVl8hcfXXYay8YP77m5xQrMxuflN1bDFgJ2BTYON2oQgihdNTUgz0GGI2XXToeL803JmN9aGAXXug92Dff7Dmj0ZNds1VX9Rz2tdf2KhvDG8kcpCut5CUee/aEbbeFq65KO6LCt/DC/iPMDNZZxycuKiWS2ko6WdJ1kgYCv+Ln93HArulGF0IIpaPaBraZ9TCzZZO/FZdlGyrIMF/TpnDppd7IvuUWX0LNllzSL/uvtRbssotPMd4Yfpx07w5vvOFXP445xms/z5uXdlSFrWdPn6xoscX8s1Jig0XvAlYE3gf+D3gR2AXYwcwGpxlYCCGUkppSRNaRtETG/X0lPS7pmvqkiEg6S9KkpN7pWElbZTx2sqRxkj6VtEXG+kHJunGSTqrra5eCpk09X3TAAE8Vuf76tCMqDm3bwjPPeNnDvfbymfwaQyO7dWufUGWXXeDcc2G77eDnn9OOqrCtvLKPeZgxA3bbDf74o+bnFIllzWw/M7sJ2AOvPb2FmY1NN6wQQigtNaWI3AT8DiCpDz55wJ3ANJIpaevhSjPrlSwjktdYGdgdn9RmEHCDpKaSmgLXA1viXwh7JNs2Wk2aeANg0CA4/HBvcIeadegAr77q5diuvNJz2htDI7tVK7j/frjkEp/xcttt4Ycf0o6qsK28sqdivfoqnFo6MwD8+VPBzOYCE81sdorxhBBCSappopmmyexbALsBw8zsEeARSWPzEM9g4H4z+w34UtI4YN3ksXFmNh5A0v3Jto16fsM2bXyq7CFD4IQTPNe4Zcu0oyp8zZrBNdf47Suu8B8rl1xS+hOMSF4hY5llYI89YLXV4LHHSn8invrYc09vYF96KXTs6O9fk2xrLxWmNSSVz/UpoFVyX4CZWdv0QgshhNJR01dFU0nljfDNgMzJZbKaBbIah0l6T9Jtkjok67oAX2dsMzFZV9X6Rq9NG7jrLlhlFS/l99JLi6UdUlGQvJF9yCHe+7/99jBtWtpRNYxdd/W8bDPYaCN49NG0IypsV14JgwfDSScV/5TqZtbUzNomSxsza5ZxOxrXIYSQIzU1ku8DXpL0AzALeAVA0nJ4mkiVJD0PLFHJQ6cCNwLn4pMcnAtcDuxfq8irft0DgQMBOnfuTFlZWa33MWPGjDo9L03nndeMk09enXPO+RszZnzC1ltPqXLb2bPXY8qUaZSVFV5h6IZ+73feGebN68Ytt/Rgww1/4ZJL3qN167kLbPPTT6sza1ZTysreqXF/xfTZueWWZpx00mrsvHNb5s0THTta0cRemXy+90ceCdOnr8xppy3GIouMZfz4dsCyvPTSSzRv3ghyjEIIIdRKtQ1sMztf0ihgSeA5sz+zVZsAh9fw3AHZBCDpZqC8Su8koFvGw12TdVSzvuLrDiPJD+/du7f17ds3mzAWUFZWRl2el7Y+fWDgwB+5+uqV2HLLlejfv/LtWraEJZZoRd++lf3+SVca732/fj61+C67tOP88zfh2Wf9ykC5Dh18IpJs4iq2z87GG3sO/913w08/tSyq2CvK93u/9tpeheaSS9Zk16Sg3aabbkqLFnl7yRBCCEWqxmxCM3vdzB41s5kZ6z4zs7fr+qKSlsy4uwPwQXJ7OLC7pIUk9QCWB94E3gKWl9RDUgt8IGQjqWacvQ4d4MwzP6J7dxg4EB5+OO2Iisf223s++5tvwj77wJw5aUfUMNq3hzvv9CojZ575YdrhFLS2bf0z8u23jWY69RBCCHWU1nCdSyS9L+k9oB9wNICZfQg8iA9efAY41Mzmmtkc4DDgWeBj4MFk21BBmzZzeOst723bZRcYVt9aL43Ijjt6w+nxxz03ecaMtCNqGJIP5uvTJ8qK1GTttaNiTwghhJrVd6BinZjZPtU8dj5wfiXrRwAj8hlXqWjXDl580fOLDz3U7++2W9pRFYcjjoBOnWDvveHAA71nN4RMhx/uPf9ffEGkh4QQQqhUKg3skH+tW3vd4wEDfHrwyZN9oFapl6LLhT33hC+/hNNO857sEDJJsO++aUcRQgihkBV3RddQrXbtvIbvVlv51Orn/+W6QKjKySfD1lv7+/bGG2lHE0Jhk7SopJGSPk/+dqhiuyHJNp9LGpKxviyZqbd8dt/Fk/ULSXogmcH3DUndG+iQQgihXqKBXeIWWgieeMIH7p1+utfybQwzF9ZXkyY++K9LF5g+Hb75Ju2IQihoJwGjzGx5YFRyfwGSFgXOBNbDJxA7s0JDfK+M2X2/S9YdAPxkZssBVwJFXok8hNBYRAO7EWjSBG65Bf7+d58o46uvYHZMjlyjRReF4cN95sMttkg7mhAK2mDgjuT2HcD2lWyzBTDSzH40s5+AkcCgWuz3YWAzKRLdQgiFL3KwG4kWLeDWW6FHDzjjDJg6Ne2IisNqq/kPkhBCtTqb2eTk9hSgcyXb1DQj778kzQUeAc5L5l348zlmNkfSNKAjECVvQggFLRrYjYjkaSJrreUN7RBCyFYNs/P+ycxMUm0T0fYys0mS2uAN7H2AO2sZX71n8c21YprZtTZK8bhK8ZggjitN0cBuhLbeOu0IQgjFprrZeSV9K2lJM5ucTCT2XSWbTQL6ZtzvCpQl+56U/P1F0r14jvadzJ/dd6KkZkA7oNLrb7mYxTfXim1m12yV4nGV4jFBHFeaIgc7hBBCfQ0HyquCDAEer2SbZ4HNJXVIBjduDjwrqZmkTgCSmgPbsODsvuX73Rl4IUkdCSGEghY92CGEEOrrIuBBSQcAE4BdAST1Bv5hZkPN7EdJ5wJvJc85J1nXGm9oNweaAs8DNyfb3ArcJWkc8COwe8MdUggh1F00sEMIIdSLmU0FNqtk/WhgaMb924DbKmwzE1i7iv3OBnbJabAhhNAAVMpX2yR9j/em1FYnineUejHHDhF/moo5diie+Jcxs8XSDqKU1ePcn2vF8pmsrVI8rlI8Jojjyrcqz+cl3cCuK0mjzax32nHURTHHDhF/moo5dij++EPpKdXPZCkeVykeE8RxpSkGOYYQQgghhJBD0cAOIYQQQgghh6KBXblhaQdQD8UcO0T8aSrm2KH44w+lp1Q/k6V4XKV4TBDHlZrIwQ4hhBBCCCGHogc7hBBCCCGEHIoGdgZJgyR9KmmcpJPSjqe2JH0l6X1JYyWNTjuemki6TdJ3kj7IWLeopJGSPk/+dkgzxqpUEftZkiYl7/9YSVulGWN1JHWT9KKkjyR9KOnIZH3Bv//VxF40738oLZLmJp+5DyQ9Ial9xmPPSPpZ0pMphlgnVR2XpF6SXkv+/70nabeUQ62Vao5rGUlvJ499KOkfKYdaK9V9DpPH20qaKOm6lEKstRr+b5U/NlbS8BTDrFSkiCQkNQU+AwYCE/HZxvYws49SDawWJH0F9DazQqgNWSNJfYAZwJ1mtmqy7hLgRzO7KPmR08HMTkwzzspUEftZwAwzuyzN2LIhaUlgSTN7W1IbYAywPbAfBf7+VxP7rhTJ+x9Ki6QZZrZIcvsO4DMzOz+5vxmwMHCQmW2TYpi1VtVxSVoBMDP7XNJS+P/Bv5nZzymGm7VqjqsF3i76TdIiwAfAhmb2TZrxZqu6z2Gy7mpgMfwcf1hKYdZKDf+3/nysEEUP9nzrAuPMbLyZ/Q7cDwxOOaaSZmYv49MfZxoM3JHcvgNvOBWcKmIvGmY22czeTm7/AnwMdKEI3v9qYg+hELxGxufRzEYBv6QXTs78eVxm9pmZfZ7c/gb4Dm+4FaPM4/rdzH5L1i9EcbeRFvgcSlob6Aw8l1pE9bfAMRW6Yv7w5FoX4OuM+xMpon/IhAHPSRoj6cC0g6mjzmY2Obk9BT8hFJPDkkumtxViekVlJHUH1gTeoMje/wqxQxG+/6F0JFdCNwMK7nJ1fVR3XJLWBVoAXzR0XPVV2XElKWjv4e2Bi4ul9zpTxeOS1AS4HDguzbjqo4rPYEtJoyW9Lmn7dCKrWjSwS8vGZrYWsCVwaJLGULTM85eKKYfpRqAn0AuYjJ/QClpyGfQR4Cgzm575WKG//5XEXnTvfygZrSSNZf6P0pHphpMz1R5Xkq51F/B3M5vX8OHVWZXHZWZfm9nqwHLAEEkF3clQQVXHdQgwwswmphVYPVT3GVwmmc1xT+AqST1TiK9K0cCebxLQLeN+12Rd0TCzScnf74BH8bSXYvNtctIuP3l/l3I8WTOzb81sbvJFczMF/v5Lao43UO8xs38nq4vi/a8s9mJ7/0NJmWVmvYBlAAGHphtOzlR5XJLaAk8Bp5rZ6+mEV2c1/nslPdcfAJs0bGj1UtVxbYBf3fsKuAzYV9JFqURYe1X+W2W0ecYDZfjVzIIRDez53gKWl9QjGeiwO0V0mU9S62TAF5JaA5vjJ4diMxwYktweAjyeYiy1Ut4wTexAAb//kgTcCnxsZldkPFTw739VsRfT+x9Kk5n9ChwBHCupWdrx5ErF40q+Ix/FB3k/nG50dVfJcXWV1AogSTHbGPg0zRjrouJxmdleZra0mXXH00TuNLOiqpRWyb9VB0kLAUjqBGwEFFRRipI5AdSXmc2RdBjwLNAUuM3MPkw5rNroDDzqbQ+aAfea2TPphlQ9SfcBfYFOkiYCZwIXAQ9KOgCYgFeGKDhVxN5XUi88reIr4KC04svCRsA+wPvJ5TeAUyiO97+q2Pcoovc/lCgzeyfJ4d0DuEvSK8BKwCLJueIAM3s21SDroMJxGdAH6Chpv2ST/cxsbErh1VmF45oCXC7J8N7Sy8zs/VQDrKOKn8O048mFCsf0BXCTpHl4Z/FFhVb1Lcr0hRBCCCGEkEORIhJCCCGEEEIORQM7hBBCCCGEHIoGdgghhBBCCDkUDewQQgghhBByKBrYIYQQQggh5FA0sEOtSJoraaykDyW9K+nYZBpWJPWWdE01z+0uac+GizY7kr5K6mjma/99JT2Zr/1n8fqS9EIyMUS2z9lG0jn5jCuEEKqT8X3zgaQnJLXP8f5PqXD/vzna7+2Sdk5ul0n6VNJ7kj6RdF2ujyMUpmhgh9qaZWa9zGwVYCA+LfuZAGY22syOqOa53fEpTUPD2gp4t+JU6DV4CthW0sJ5iimEEGpS/n2zKvAjuZ8hc4EGtpltmOP9l9srmX59deA3CnACr5B70cAOdZZMyX4gPgWrMntqJW2a9DyMlfROMsvkRcAmybqjkx7tVyS9nSwbJs/tm/zqfzj5xX9PMnsfktaR9N+k9/xNSW0kNZV0qaS3kl6CSicYkfSYpDFJ7/uBVWxzTNJb8oGko5J13SV9LOnm5LnPZcz2tU7ymmOTGKqaPbCtpKeSnox/ZvT6by7pteT4H5K0SLL+jOR4PpA0LOP4yyRdKWl0EtM6kv4t6XNJ51Xx2nuRnNCTY/kk6WH5LHlvB0j6T7KPdZN/W8Onnt2min2GEEJDeg3oAiCpp6RnkvP5K5JWStZvK+mN5DvneUmdk/WLSPqXpPeT8/VO8qnCWyXn7nuS7WYkf1V+Pk+es1uyvsrvpmyY2e/ACcDSktbI5ZsTCpCZxRJL1gswo5J1P+MzSfYFnkzWPQFslNxeBJ9d8s/Hk/ULAy2T28sDo5PbfYFpQFf8R+Br+JS1LYDxwDrJdm2T/R4InJasWwgYDfSoJM5Fk7+t8Gm0Oyb3vwI6AWsD7wOtk5g/BNbEe97nAL2S7R8E9k5ufwBskNy+CPigktftC8wGlsVnCR0J7Jy85stA62S7E4EzMmNNbt8FbJvcLgMuTm4fCXwDLJkc98TyY6rw+hOANsnt8mNZLXlvxwC34bOWDQYey3jeXsC1aX/mYokllsa5lH/fJOfNh4BByf1RwPLJ7fWAF5LbHZg/gd5Q4PLk9sXAVRn77ZC5/0peb6fkPN0U/277X3Ke7Usl302VxH07sHNyuwzoXeHxx4Dd0n5/Y8nvElOlh3z5D3BF0jPwbzObWMkP/ebAdfLprecCK2Q89qaZTQSQT4fdHT+xTTaztwAsSXmQtDmwupKcN6Ad3mD/ssLrHSFph+R2t2SbqRmPbww8amYzk/3+G9gEGA58afOnAR4DdJfn0bUxs9eS9fdSdY/vm2Y2PtnvfclrzQZWBv6TvDct8BM2QD9JJ+A/QhbFG/tPJI8NT/6+D3xoZpOT/Y5PjivzmMAb679k3P/Skul/JX0IjDIzk/Q+/j6X+w5YqorjCSGEfGuVnP+7AB8DI5OrfBsCD2V8pyyU/O0KPCBpSfx8Wv4dMADYvXxjM/uphtfdGLjPzOYC30p6CVgHmE7l302v1vK4su71DsUrGtihXiQtizeOvwP+Vr7ezC6S9BSe//sfSVtU8vSjgW+BNfDegNkZj/2WcXsu1X9WBRxuZs9WE2df/CS7gZn9KqkMaFnNPiuqGE+rWjwXwCq5L2Ckme1RIdaWwA14r8fXks6qEGt5LPMqxDWPyt+nOZKamNm8Cs+vuI+Kz28JzKruoEIIIY9mmVkv+ViQZ/Ec7NuBn82sVyXbXwtcYWbDk3P+WXmIqTbfTX8hqSl+BfHjXAYVCk/kYIc6k7QY8E/gOjOzCo/1NLP3zexi4C1gJeAXoE3GZu3wHul5wD745bjqfAosKWmd5DXaSGqGn3gPltQ8Wb+CpNYVntsO+ClpXK8ErF/J/l8Btpe0cPL8HZJ1lTKzn4FfJK2XrNq9qm2BdSX1SHKvd8N7PF4HNpK0XBJ3a0krML8x/UPSW7NzpXvM3qd4ekptrYCnwIQQQmrM7FfgCOBY4FfgS0m7wJ/50uX5zO2AScntIRm7GEnGAElJHZKbf5R/b1TwCrCbfHzPYkAf4M36HkfyWhcCX5vZe/XdXyhs0cAOtVU+KORD4HngOeDsSrY7Khkg8h7wB/A08B4wVz5A8Wi8l3aIpHfxBvjM6l7YfIDIbsC1yXNG4o3RW4CPgLflgwxv4q+9Cs8AzSR9jOdKv17J/t/Ge0feBN4AbjGzd2p4Pw4Abk4uFbbG01gq8xZwHd5r8SWeivI9sB9wX/I+vQaslDTcb8Ybt88mz62Pp/Dcwdrqlzw3hBBSlZyL3wP2wMeHHJB8D3yIjx8B77F+SNIY4IeMp58HdEi+k97Fz20Aw4D3ygc5Zng0ea13gReAE8xsSj3Cvyc5x3+Af08MrmH7UAJUoeMxhFALkhYxs/KR5ycBS5rZkSmHtYAkH/FOMxtYi+d0Bu41s83yF1kIIYRQmiIHO4T62VrSyfj/pQl4j3RBMbPJ8hKDbS37WthL45djQwghhFBL0YMdQgghhBBCDkUOdgghhBBCCDkUDewQQgghhBByKBrYIYQQQggh5FA0sEMIIYQQQsihaGCHEEIIIYSQQ9HADiGEEEIIIYf+H99s6RQs9G/qAAAAAElFTkSuQmCC\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "envenv = cba.Envelopes.zero_like(env_udl)\n", + "envenv.augment(env_udl)\n", + "envenv.augment(env_veh)\n", + "bridge_analysis.plot_envelopes(envenv)" ] } ],