diff --git a/examples/check_dominates_performance.ipynb b/examples/check_dominates_performance.ipynb index b134f72..fa8333f 100644 --- a/examples/check_dominates_performance.ipynb +++ b/examples/check_dominates_performance.ipynb @@ -99,11 +99,11 @@ " ax.plot(vertices[[i, (i+1)%len_vert], 0], vertices[[i, (i+1)%len_vert], 1], 'k-')\n", "\n", "def visualize_comparison(rect1, rect2):\n", - " fig, ax = plt.subplots()\n", + " fig, ax = plt.subplots(1, 1, figsize=(6, 4))\n", "\n", " # Plot each polytope with a different label\n", " rects = [rect1, rect2]\n", - " labels = ['x', 'x_prime']\n", + " labels = [r\"$x$\", r\"$x'$\"]\n", " for rect, label in zip(rects, labels):\n", " vertices = hyperrectangle_get_vertices(rect.lower, rect.upper)\n", " vertices = order_vertices_clockwise(vertices) # Order the vertices in clockwise order.\n", @@ -130,9 +130,9 @@ "outputs": [ { "data": { - "image/png": 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", + "image/png": 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", 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" + "
" ] }, "metadata": {}, @@ -196,7 +196,7 @@ "name": "stdout", "output_type": "stream", "text": [ - "VOPy time: 0.09059834480285645, Naive time: 17.384971141815186\n" + "VOPy time: 0.0898141860961914, Naive time: 17.23957848548889\n" ] } ], @@ -246,7 +246,7 @@ "outputs": [ { "data": { - "image/png": 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EOhrXcBnq2Ak3VY7rl4jsyZCcDN133yN3924U/fabzTJ1w4bw6NYV7l27wvn++znXoooxZJSgVCoBAAUFBXDhrjOHKSgoAPDv+iYiqqy8AweQOmbsv3ssZDK4tG4Nj65d4dH1MagiIqQtsI6TNGTEx8djy5YtOH/+PFxcXNCxY0fMmTMHjRo1uu3rDhw4gLi4OJw5cwbBwcF45ZVXEBsbe9f1KBQKeHl5ITMzEwDg6urK1GtHQggUFBQgMzMTXl5evL8JEd2Vot9/R9qkOMBkgkubNtD07QOPLl3g5OcndWl0naQh48CBAxgzZgweeOABmEwmvPbaa4iOjsbZs2fh5uZW5muSkpLQq1cvjBo1CmvWrMHhw4cxevRo+Pv7o3///nddU2BgIABYgwbZn5eXl3U9ExFVhjEzE6mxL8NSUADX9u0RvvRTyFQqqcuim1SrK35euXIF9erVw4EDB9CpU6cy+0yZMgXbtm3DuXPnrG2xsbE4deoUEhMT7/gZ5b1amdlshtForPiXoNtSKpXcg0FEd8VSWIjkYcNRdPo0VJGRqL9hPRQajdRl1Qk1+oqfWq0WAODj43PLPomJiYiOjrZp6969O1asWAGj0VjqOL9er4der7c+1+l05apFoVBwMCQiqmaExYJLU6ai6PRpKLy8EPbpEgaMaqza3CBNCIG4uDg8/PDDiIqKumW/jIwM663GbwgICIDJZMLVq1dL9Y+Pj4dGo7E+wsLC7F47ERFVjSsfzkduQgJkSiVCP1kAVXi41CXRbVSbkDF27Fj8+uuvWL9+/R373jwZ88YRn7ImaU6bNg1ardb6SE1NtU/BRERUpXI2b0HWsmUAgKB33oZr27YSV0R3Ui0Ol4wbNw7btm3DwYMHERoaetu+gYGByMjIsGnLzMyEk5MTfH19S/VXq9VQq9V2rZeIiKpW/v+OIn3mTACA3+iXoXnySYkrovKQdE+GEAJjx47Fli1bsHfvXkRGRt7xNR06dMCuXbts2hISEtC2bVted4GIqBbSJyXh4vjxgMkEz1694DdunNQlUTlJGjLGjBmDNWvWYN26dfDw8EBGRgYyMjJQWOL68tOmTcOwYcOsz2NjY5GcnIy4uDicO3cOK1euxIoVKzB58mQpvgIRETmQKTsbqbGxsGi1cGnRAkHx7/L6RTWIpCFj8eLF0Gq16Ny5M4KCgqyPjRs3Wvukp6cjJSXF+jwyMhI7d+7E/v370bJlS7z11lv4+OOP7XKNDCIiqj4sBgPSxo2HMTkFypAQhC78BHIe/q5RqtV1MqpCRc/xJSKiqieEQPq0V6HduhVyd3fUX78O6vvuk7qsOq+iY2i1ObuEiIjohqxPl0K7dSugUCDkww8ZMGoohgwiIqpWdN99hyvz5wMAAl9/De6PPCxtQVRpDBlERFRtFJ46hUtTpwEAfIYPg/fgwRJXRHeDIYOIiKoFY1oaUkePgdDr4d65M+q98orUJdFdYsggIiLJmfPykBr7MsxZWVA3boyQuR9AxvtH1XgMGUREJClhMiFtUhz0f/wBJ39/hC1eBLmbm9RlkR0wZBARkaQuvxuP/EOHIHNxQejixVAGBUldEtkJQwYREUnm2hdrkL1uHSCTIfi9OXCJaip1SWRHDBlERCSJ3P37cTk+HgBQb/J/4Pn44xJXRPbGkEFERFXO8M8/uDT5v4DFAs3T/eHz4otSl0QOwJBBRERVylJYiIvjJ8CSlweXNm0QNGMGb3pWSzFkEBFRlRFCIGPWG9BfuACFnx9C5s2DTKWSuixyEIYMIiKqMjlfboL2m28AuRwhc+dCGVBP6pLIgRgyiIioShSe/g2X334bAFAvbhLc2j0ocUXkaAwZRETkcKbsbKRNmABhNMK9W1f4jBghdUlUBRgyiIjIoYTFgkuvTIHx0iUoI8IRHB/PiZ51BEMGERE51NXFi4uv6KlWI/Sjj6Dw8JC6JKoiDBlEROQweYd+xNVPFgIAAmfNgnPjxhJXRFWJIYOIiBzCeOkSLv33v4AQ8BowAF5P9ZW6JKpiDBlERGR3FoMBFydOgjknB85NmyLgtVelLokkwJBBRER2lzl7Nop+/RVyjQYhH30EuVotdUkkAYYMIiKyK+22bchetx4AEPLeHKhCQySuiKTCkEFERHZTdOEC0mfMBAD4jX4Z7o8+KnFFJCWGDCIisgtzXh7Sxk+AKCqCW8eO8BszRuqSSGIMGUREdNeEEEh/9TUY/vkHTkFBCJ77AWQKhdRlkcQYMoiI6K5dW/0ZchMSAKUSofM/hJO3t9QlUTXAkEFERHel4NgxZH7wAQAgYOoUuLRoIXFFVF0wZBARUaWZrlzBxUmTALMZnr17w/vZZ6UuiaoRhgwiIqoUYTIhbVIczFeuQn3fvQh68w3e+IxsMGQQEVGlXJk/HwXHjkHu6oqQjz6G3NVV6pKommHIICKiCtPt2oWs5SsAAEHvvgN1g0iJK6LqyEnqAoiIqOYQFgvy9u9H+rTie5H4DB8Ozx49JK6KqiuGDCIiuiNhNEL77bfIWr4chj//AgC4tG6NepP/I3FlVJ0xZBAR0S1ZCgqQ89VmZK1eBdOldACA3M0N3oMHwfellyBTKiWukKozhgwiIirFlJ2N7HXrkP3FGphzcgAACj8/+AwbBu9BA6Hw9JS2QKoRGDKIiMjKmJ6Oa6s/Q/amTRAFBQAAZVgYfEeMgOapvrxlO1UIQwYREUH/11/IWr4C2u3bAZMJAKBu0gR+o0bCIzoaMicOF1Rx/FdDRFSHFZ48iavLlyNv9x5rm+uDD8J31Ci4PfwQL65Fd4Uhg4iojhFCIP/HH5G1dBkKfv7Z2u7xeDf4jhzJe4+Q3TBkEBHVIbpdu3B14SLoz58vblAqoYmJge+IF6G+5x5pi6NahyGDiKgOECYTMt9/H9c++xwAIHN1hfeAAfB5fjiUgYESV0e1FUMGEVEtZ9bpkBb3H+T/+CMAwGfEi/AbNQoKLy9pC6NajyGDiKgW0ycl4eLoMTAkJUHm4oLg2bPh2T1a6rKojmDIICKqpfIOH0bapDhYdDo4BQUhbOEncL7/fqnLojqEIYOIqJYRQiB7zVpcnj0bMJvh0rIlQhd8DCd/f6lLozqGIYOIqBYRBgMy3nobOZs2AQA0ffsi8M03IFepJK6M6iKGDCKiWsKUnY20ceNRcOwYIJOh3uTJ8HnxBV5QiyTDkEFEVAsUXbiAi6PHwHjxIuRubgie+wE8OneWuiyq4+RSfvjBgwcRExOD4OBgyGQybN269bb99+/fD5lMVupx/sZFZYiI6qDcvXuRPGgwjBcvQhkejvobNzBgULUg6Z6M/Px8tGjRAi+88AL69+9f7tf9/vvv8Cxxm2F/TmYiojpICIGs5ctxZd6HgBBwbdcOIfM/hJO3t9SlEQGQOGT07NkTPXv2rPDr6tWrBy9eRIaI6jCLXo/06dOh27YdAOA1eBACX30VMqVS4sqI/iXp4ZLKatWqFYKCgtC1a1fs27fvtn31ej10Op3Ng4ioJjNmZiJ52LDigKFQIGDGdATNnMmAQdVOjQoZQUFBWLp0KTZv3owtW7agUaNG6Nq1Kw4ePHjL18THx0Oj0VgfYWFhVVgxEZF9Ff52Bv88MwBFp36FXKNB+Irl8Hn2WanLIiqTTAghpC4CAGQyGb7++mv07du3Qq+LiYmBTCbDtm3bylyu1+uh1+utz3U6HcLCwqDVam3mdRARVXe6777DpWmvQhQVQdWgAcIWL4IqIkLqsqgO0el00Gg05R5Da/wprO3bt8eaNWtuuVytVkOtVldhRURE9mPOy0fegf3I/f575O7aDQBw6/QIQubOhcLDQ+LqiG6vxoeMX375BUFBQVKXQURkN+a8POTt2wfd9z8g/9AhCIPBusznhRdQb/J/IFMoJKyQqHwkDRl5eXn4888/rc+TkpJw8uRJ+Pj4IDw8HNOmTUNaWho+//xzAMD8+fNRv359NG3aFAaDAWvWrMHmzZuxefNmqb4CEZFdmHU65O7di9wfEpD/448QRqN1mSoiAh49esCzZw84N24sYZVEFSNpyDh27Bi6dOlifR4XFwcAGD58OFavXo309HSkpKRYlxsMBkyePBlpaWlwcXFB06ZN8e2336JXr15VXjsR0d0y5+Qgd89e6BJ+QP6RRKBksIiMhEeP7vDs0QPqhg15aXCqkarNxM+qUtFJK0RE9mTKzkbenj3Fh0J++gkwmazLVPfeA8/uPeDRPRrq++5jsKBqp85N/CQiqu5M164hd9du5P7wA/L/9z/AbLYuUzdsWLzHIjoa6nvvlbBKIvtjyCAichBhseDaqtW4Mn++zRwLdZMm8OzeHR7R0VA3iJSwQiLHYsggInIA4+XLuDRlKgp++gnA9WDRsyc8u0fz2hZUZzBkEBHZmW7XLmS8Ph1mrRYyFxcETJsKr2ee4RwLqnMYMoiI7MSSn4/Ls2cjZ9NXAADnpk0R/P77PCRCdValQ0Zqair++ecfFBQUwN/fH02bNuWVNYmozio8/RsuTZ4MQ3IyIJPBd+QI+I8bB5lKJXVpRJKpUMhITk7GkiVLsH79eqSmpqLk2a8qlQqPPPIIXnrpJfTv3x9yeY269xoRUaUIsxlZK1biyscfAyYTnAICEDxnDtzat5O6NCLJlTsJTJgwAc2aNcMff/yBN998E2fOnIFWq4XBYEBGRgZ27tyJhx9+GNOnT0fz5s3x888/O7JuIiLJGdPTkfLCi7gybx5gMsEjOhoNvtnKgEF0Xbn3ZKhUKvz111/w9/cvtaxevXp47LHH8Nhjj2HmzJnYuXMnkpOT8cADD9i1WCKi6kL3/fdInzETFp0OMldXBL72GjT9nuLkTqISeMVPIqIKMOfl4/K770K7ZQsAwLlZM4S8/x5U9etLWxhRFaiSK34WFhZCCAFXV1cAxXM1vv76azRp0gTdu3evzFsSEVV7hadOIe2/r8CYklI8ufOll+A/dgxkSqXUpRFVS5UKGX369EG/fv0QGxuLnJwctGvXDkqlElevXsW8efPw8ssv27tOIiLJCLMZWcuW4cqCTwCzGU5BQQh5bw5ceUiY6LYqdQrIiRMn8MgjjwAAvvrqKwQEBCA5ORmff/45Pv74Y7sWSEQkJWNaGpKHD8eV+R8BZjM8e/VEg61fM2AQlUOl9mQUFBTAw8MDAJCQkIB+/fpBLpejffv2SE5OtmuBRERS0SUkIP2112HJzYXc1RUBM6ZD06cPJ3cSlVOl9mTce++92Lp1K1JTU/HDDz8gOjoaAJCZmcnJlERUK+Tu34+0SXGw5ObCpUULRG79Gl59+zJgEFVApULGjBkzMHnyZNSvXx/t2rVDhw4dABTv1WjVqpVdCyQiqmqFp04hbeIkwGyGpk8fRKz5AqrwcKnLIqpxKn0Ka0ZGBtLT09GiRQvr1T2PHj0KT09PNG7c2K5F2hNPYSWi29EnJSF58LMw5+TArdMjCFu4kGePEF1XJaewAkBgYCACAwNt2h588MHKvh0RkeSMmZlIHTkK5pwcOEdFIfTDDxkwiO5CuQ+XxMbGIjU1tVx9N27ciLVr11a6KCKiqmbOy0Pq/8XCmJYGZUQ4wj5dArmbm9RlEdVo5d6T4e/vj6ioKHTs2BFPPvkk2rZti+DgYDg7OyM7Oxtnz57Fjz/+iA0bNiAkJARLly51ZN1ERHYjDAZcHDcO+nPnoPD1Rfjy5XDy9ZW6LKIar0JzMjIzM7FixQps2LABv/32m80yDw8PdOvWDS+99JL1bJPqiHMyiKgkYbHg0itToNuxA3JXV4R//jlcoppKXRZRtVTRMbTSEz9zcnKQnJyMwsJC+Pn54Z577qkRp3YxZBBRSZffex/XVq4EnJwQtmQJ3B9+SOqSiKqtKpv46eXlBS8vr8q+nIhIclmrVxcHDADB77zNgEFkZ5W6TgYRUU2n/fZbZM6eAwDw/08cNH36SFwRUe3DkEFEdU7+Tz/h0tRpAADvoUPhO3KkxBUR1U4MGURUpxSdP4+LY8YCRiM8evRAwLSpNWI+GVFNxJBBRHWG4WIaUke9BEt+PlwfeADBc2ZDJuevQSJHqfT/LpPJhN27d+PTTz9Fbm4uAODSpUvIy8uzW3FERPZiys5G6qhRMF25AnXDhghd+AnkarXUZRHVapU6uyQ5ORk9evRASkoK9Ho9Hn/8cXh4eOC9995DUVERlixZYu86iYgqzVJYiIuxL8OQlASnoCCELVsKBU9hJ3K4Su3JmDBhAtq2bYvs7Gy4uLhY25966ins2bPHbsUREd0tYTIhLe4/KDx1CnKNBuHLlkIZECB1WUR1QqX2ZPz44484fPgwVCqVTXtERATS0tLsUhgR0d0SQiDjjTeRt28fZGo1whYvgvree6Uui6jOqNSeDIvFArPZXKr94sWL8PDwuOuiiIjs4erCRcjZtAmQyxEy9wO4tm4tdUlEdUqlQsbjjz+O+fPnW5/LZDLk5eVh5syZ6NWrl71qIyKqtOyNX+LqJ58AAAJnTIdHt24SV0RU91Tq3iWXLl1Cly5doFAo8Mcff6Bt27b4448/4Ofnh4MHD6JevXqOqNUueO8Sotov79AhpP5fLGCxwPflWNSbMEHqkohqhSq5d0lwcDBOnjyJ9evX48SJE7BYLBgxYgSGDBliMxGUiKiqma5dK76ap8UCTb9+8B8/XuqSiOqsSt+Ftabingyi2ksIgYvjxiFv9x6o77sP9b/axGthENlRld2FNS0tDYcPH0ZmZiYsFovNsvHcciAiCWi/3oq83XsApRLB77/HgEEksUqFjFWrViE2NhYqlQq+vr421/2XyWQMGURU5QwXL+LyO+8AAPzHj4Nz48YSV0RElQoZM2bMwIwZMzBt2jTIed1/IpKYMJtxaepUWPLz4dKmDXxffFHqkogIlTyFtaCgAIMGDWLAIKJq4drq1Sg8dhxyV9fim54pFFKXRESoZMgYMWIENm3aZO9aiIgqrOj8eWTO/wgAEPDaq1CFhkpcERHdUKmzS8xmM3r37o3CwkI0a9YMSqXSZvm8efPsVqC98ewSotrDYjDgn6efgf7CBbh37YrQTxbYzBEjIvuqkrNL3n33Xfzwww9o1KgRAJSa+ElEVBWufPQR9BcuQOHri6A33+DvH6JqplIhY968eVi5ciWef/55O5dDRFQ++UeP4trKVQCAoLfehJOvr8QVEdHNKjUnQ61W46GHHrJ3LURE5WLOy0P61GmAENA83R8ejz0mdUlEVIZKhYwJEyZgwYIF9q6FiKhcLr/zLoyXLkEZGoqAqdOkLoeIbqFSh0uOHj2KvXv3YseOHWjatGmpiZ9btmyxS3FERDfTJSRA+/XXgFyO4PfmQOHuJnVJRHQLlQoZXl5e6Nevn71rISK6LdOVK8iYMRMA4DtiBFxbt5a4IiK6nUpfVpyIqCoJIZD++nSYc3KgbtwY/uPGSl0SEd2BpJfsPHjwIGJiYhAcHAyZTIatW7fe8TUHDhxAmzZt4OzsjAYNGmDJkiWOL5SIJJfz5SbkHTgAmUqF4PfmQKZSSV0SEd1BufdktG7dGnv27IG3tzdatWp12/PRT5w4Ua73zM/PR4sWLfDCCy+gf//+d+yflJSEXr16YdSoUVizZg0OHz6M0aNHw9/fv1yvJ6KayZCcjMuzZwMA/CdNgnPDhhJXRETlUe6Q0adPH6iv3za5b9++dvnwnj17omfPnuXuv2TJEoSHh2P+/PkAgCZNmuDYsWP44IMPGDKIailhMuHSlKkQhYVwbdcOPsOHSV0SEZVTuUPGzJkz8eKLL+Kjjz7CzJkzHVnTLSUmJiI6OtqmrXv37lixYgWMRmOps1wAQK/XQ6/XW5/rdDqH10lE9pO1fDkKT56E3N0dwfHvQsYbMxLVGBX63/rZZ5+hsLDQUbXcUUZGBgICAmzaAgICYDKZcPXq1TJfEx8fD41GY32EhYVVRalEZAeFv53BlU8WAgACp78OZXCwxBURUUVUKGRU4l5qdnfzXJAbNd1qjsi0adOg1Wqtj9TUVIfXSER3z1JUhEtTpgAmEzy6d4fnk09KXRIRVVCFT2GV8gZEgYGByMjIsGnLzMyEk5MTfG9x3wK1Wm2dS0JENUfmvHkw/PUXnPz9EThrJm9+RlQDVThkNGzY8I7/2a9du1bpgm6nQ4cO2L59u01bQkIC2rZtW+Z8DCKqmfKPHEH2518AAILeeRtO3t4SV0RElVHhkPHGG29Ao9HY5cPz8vLw559/Wp8nJSXh5MmT8PHxQXh4OKZNm4a0tDR8/vnnAIDY2Fh88skniIuLw6hRo5CYmIgVK1Zg/fr1dqmHiKRn1mpx6dXXAABegwfBvVMniSsiosqqcMgYNGgQ6tWrZ5cPP3bsGLp06WJ9HhcXBwAYPnw4Vq9ejfT0dKSkpFiXR0ZGYufOnZg0aRIWLlyI4OBgfPzxxzx9laiWEEIg4823YMrIgCoiAgH//a/UJRHRXZCJCszmVCgUSE9Pt1vIkIJOp4NGo4FWq4Wnp6fU5RDRdcJiweX42cj+4gtAoUD9dWvh0qKF1GURUQkVHUMrtCejOpxdQkS1jzCbkT5jBrSbi+/gHDj9dQYMolqgQiHDYrE4qg4iqqOE0YhLU6ZAt/M7QC5H0DvvwOupvlKXRUR2UKm7sBIR2YNFr0faxEnI27cPUCoR8v778OzRXeqyiMhOGDKISBKW/Hykjh2LgsSfIFOrEbrgY55JQlTLMGQQUZUz63RI/b9YFP7yC+SurghdvBhu7R6UuiwisjOGDCKqUqZr15AyciT0Z89B7umJ8GVLOcmTqJZiyCCiKmO8nImUF1+E4a+/oPDxQfjKFXBu3FjqsojIQRgyiKhKGC6mIeWFF2BMTYVTQADCV62CukGk1GURkQMxZBCRw+n/TkLKiy/ClJEBZVgYwlethCo0VOqyiMjBGDKIyKGKfv8dKS+OgDkrC6p77kH4ypVQBtTcqwYTUfnJpS6AiGqvwl9/RfKw4TBnZUF9fxNEfPE5AwZRHcKQQUQOkX/0KFKefwEWrRYurVohYvVqOPn4SF0WEVUhhgwisru8gweROuolWAoK4Nq+PcKXL4OCNyQkqnMYMojIrnQ/JCB1zFgIvR7uXbog7NMlkLu5SV0WEUmAIYOI7CZn61akTZoEGI3w7NUToR9/BLlaLXVZRCQRnl1CRHfNnJeHaytX4eqiRQAATf9+CHrzTcgUCokrIyIpMWQQUaWZ8/KRvWYNrq1aBbNWCwDwHjoUAdOmQibnjlKiuo4hg4gqzJyXj+y1a3Ft5UpruFBFRsJvzBh4PtELMplM4gqJqDpgyCCicjPn5SN73bricJGTAwBQ1a8PvzGj4dmrFw+PEJENhgwiuiNLfj6urVuHaytKhIuIiOJw8cQTDBdEVCaGDCK6JUt+PrLXr0fWipUwZ2cDuB4uRr9cHC6c+CuEiG6NvyGIqBRLQUFxuFi+whoulBHh8Hv5ZWh692a4IKJy4W8KIrIqDhcbkLViBczXrgEAlOHXw0UMwwURVQx/YxARLIWF/4aLrCwAgDIsrDhcPBnDcEFElcLfHER1mOGff5CzeTNytnxdOlzE9IZMqZS4QiKqyRgyiOoYS2EhchMSkLPpKxQcO2ZtV4aG/rvnguGCiOyAIYOojig8cwY5X30F3Y5vYcnNLW6Uy+H2yMPwevppeHTuzHBBRHbFkEFUi5m1Wmh37EDOV5uhP3fO2q4MDYVX/37QPPUUlIGBElZIRLUZQwZRLSOEQMHRn5Hz1VfITUiA0OsBADKlEh6PPw6vZ56Ga7t2vLcIETkcQwZRLWG8nAnt1q3I2bwZxpQUa7u6YUN4Pf00PGN6w8nbW8IKiaiuYcggqsGEyYS8gweRs+kr5B08CJjNAAC5mxs8n3gCXs88DeeoKN6wjIgkwZBBVEMZ/vkHqaPHwPD339Y2l9ati/da9OgOuaurhNURETFkENVI+UePIm3ceJi1Wii8vKDp1w9eT/eHukEDqUsjIrJiyCCqYXI2b0H6rFmA0Qjn5s0RtvATOPn7S10WEVEpDBlENYSwWHDlww+RtWw5AMCjZw8Ex8dD7uwscWVERGVjyCCqASyFhbj0yhTk7toFAPB9ORb+48bxNFQiqtYYMoiqOePlTFwcPRpFZ85AplQi6O23oOnTR+qyiIjuiCGDqBorOncOqS+PhikjAwovL4Qu/ASubdpIXRYRUblwXytRNZW7dx/+GfIcTBkZUDVogPpfbmTAIKIahSGDqJoRQiBr1WpcHDMGoqAArh3ao/6G9VCFh0tdGhFRhfBwCVE1IoxGZLz1NnK+/BIA4DVgAAKnv867oxJRjcSQQVRNmHU6pE2ciPwjiYBMhnpTXoHP8OG8JDgR1VgMGUTVgCElBamxL8Pw99+Quboi5IMP4PFYF6nLIiK6KwwZRBIrOH4cF8eMhTknB06BgQhbvAjOTZpIXRYR0V3jxE8iCWm3bUPK8y/AnJMD56go1P9yIwMGEdUa3JNBJAFhseDKggXIWrwEAODx+OMIfm8O5C4uEldGRGQ/DBlEVcick4OcrVuR8+Um6y3afUeNgv+kibxEOBHVOgwZRA4mhEDhiRPI3rgRud//AGEwAADkrq4IeP11ePV7SuIKiYgcQ/JNp0WLFiEyMhLOzs5o06YNDh06dMu++/fvh0wmK/U4f/58FVZMVD5mrRbXPv8Cf8fEIHnIc9Bt2w5hMEB9fxMEzpqFew8eZMAgolpN0j0ZGzduxMSJE7Fo0SI89NBD+PTTT9GzZ0+cPXsW4be5uuHvv/8OT09P63N/f/+qKJfojoQQKDx5Ejkbv4Tuu+8g9HoAgMzFBZ5P9IL3wIFwjoritS+IqE6QCSGEVB/erl07tG7dGosXL7a2NWnSBH379kV8fHyp/vv370eXLl2QnZ0NLy+vSn2mTqeDRqOBVqu1CSpEd8Ocmwvttm3I2fgl9BcuWNvVjRrBa+AAaGJioPDwkLBCIqK7V9ExVLI9GQaDAcePH8fUqVNt2qOjo3HkyJHbvrZVq1YoKirC/fffj9dffx1dutz6okV6vR7661uTQPEKIrIHIQSKfv0V2Ru/hG7nToiiIgCAzNkZnj17wnvgADi3aMG9FkRUZ0kWMq5evQqz2YyAgACb9oCAAGRkZJT5mqCgICxduhRt2rSBXq/HF198ga5du2L//v3o1KlTma+Jj4/HG2+8Yff6qe4y5+VBt307sr/cBP25c9Z29X33wmvAQGj6PAkF95IREUl/dsnNW3lCiFtu+TVq1AiNGjWyPu/QoQNSU1PxwQcf3DJkTJs2DXFxcdbnOp0OYWFhdqic6iLd998jffoMWHJzAQAylQqePXvAa+BAuLRqxb0WREQlSBYy/Pz8oFAoSu21yMzMLLV343bat2+PNWvW3HK5Wq2GWq2udJ1EAGDR65E5Zw6y160HAKgiI+E9aCA0ffpAUcn5QUREtZ1kp7CqVCq0adMGu3btsmnftWsXOnbsWO73+eWXXxAUFGTv8oisDMnJ+GfwYGvA8B01Cg22fQOf4cMZMIiIbkPSwyVxcXEYOnQo2rZtiw4dOmDp0qVISUlBbGwsgOJDHWlpafj8888BAPPnz0f9+vXRtGlTGAwGrFmzBps3b8bmzZul/BpUi+l27iw+PJKfD4W3N4LnzIb7LQ7NERGRLUlDxsCBA5GVlYU333wT6enpiIqKws6dOxEREQEASE9PR0pKirW/wWDA5MmTkZaWBhcXFzRt2hTffvstevXqJdVXoFrKotfjcnw8cjZsBAC4tG2DkLlzoazAoTwiorpO0utkSIHXyaA70SclIW1SHPTXryTr+3//B/9xYyFzknyeNBGRpGrMdTKIqiPtjm+RMWMGLAUFUPj4IHjOHLg/8rDUZRER1UgMGUQALEVFuPxuPHK+/BIA4PrAAwj+4AMoA+pJXBkRUc3FkEF1nv7vJKRNmgT9778DMhl8Y/8P/mPG8PAIEdFd4m9RqtO023cgY+bMfw+PvP8e3B96SOqyiIhqBYYMqpMsRUW4/M47yNn0FQDA9cEHEfzB+1DW4+ERIiJ7YcigOkf/999Imzip+G6pMhn8Ro+G3+iXIVMopC6NiKhWYcigOkW7bRvSZ70BUVAAhZ8fQt5/D24dOkhdFhFRrcSQQbWepagIefv2Iefrr5F/8BAAwLV9e4S8/x6c/P0lro6IqPZiyKBaSVgsKDj6M7TbtyH3hwRY8vKKF8hk8BszBn4vx/LwCBGRgzFkUK1SdOECdNu3Q7t9B0wl7vCrDA6GZ0wMNH36QN0gUsIKiYjqDoYMqvGMlzOh+/ZbaLdts14KHADkHh7w7NEDmj5PwqV1a8jkkt10mIioTmLIoBrJnJeP3N27oNu2Hfk//QRYLMULlEq4P9oJmpgn4d75UcjVamkLJSKqwxgyqMYQJhPyjxyBdtt25O7eDVFUZF3m0ro1NE/GwKN7dzh5e0tYJRER3cCQQdWe8XImrq1cAe2Ob2HOyrK2qyIi4NnnSWhiYqAKC5OwQiIiKgtDBlVbwmRC9tq1uPLxAljy8wEACh8fePbqBc2TMXBu1gwymUziKomI6FYYMqhaKjjxCzLeeKP4pmUAnJs3h9/ol+H+0EOQKZUSV0dEROXBkEHViik7G5lz50L71WYAgFyjQb3/xMHr6ad5dggRUQ3DkEHVgrBYoN2yBZkfzIU5JwcAoOnfD/X+8x84+fhIWxwREVUKQwZJruj8eWTMegOFJ08CANQNGyJw1ky4tm4tbWFERHRXGDJIMua8PFxdsADXvlgDWCyQu7rCb9w4+Dw3hPMuiIhqAYYMqnJCCOR+9x0ux8+G6coVAIBHjx4ImDoFysBAiasjIiJ7YcigKqVPSsLlt95C/pFEAIAyIhyBr0+H+yMPS1wZERHZG0MGVQlLURGyli5F1rLlEEYjZCoVfP/vJfiOHMlLfxMR1VIMGeRweQcOIOOtt2G8eBEA4PbIIwic/jpU4eESV0ZERI7EkEEOISwW5B8+jGtr1iD/wEEAgFNgIAJenQaPxx/nlTqJiOoAhgyyK1NWFnI2b0HOl19a91zAyQk+w4fBf/RoyN3cpC2QiIiqDEMG3TUhBAqO/oycjRug27UbMBoBAHJPT2j69IH34MFQN4iUuEoiIqpqDBlUaeacHGi/+QbZGzbCkJRkbXdu0RzeAwfBs2cPyF1cJKyQiIikxJBBFSKEQOHJk8jZ+CV0330HodcDAGSurtDExMB74AA433+/xFUSEVF1wJBB5WLOy4Nu+3Zkb9hovTMqAKgbN4b3oIHw7N0bCnd3CSskIqLqhiGDbqvo7Flkb9gI7Y4dEAUFAACZWg3PXr2K91q0aMEzRYiIqEwMGVSKxWCAbudOZK9bj6Jff7W2qxo0gPeggdD06QOFRiNhhUREVBMwZJCV6coVZK/fgOyNG2HOyipuVCrh+fjj8Bo0EK4PPMC9FkREVG4MGYTC06dx7YsvoPvue+vpp04BAfAePBhezzwNJ19fiSskIqKaiCGjjhJGI3J37cK1z79A4cmT1naXVq3gM2woPLp14+3WiYjorjBk1DGm7GzkbPwS2evXw3T5cnGjUglNr57wfm4oXJpFSVsgERHVGgwZdUTR778XHxLZvsN6bQuFry+8Bw2C96CBcPL3l7hCIiKqbRgyajFhNiNv3z5c+/wLFBw9am13vv9+eA8bCs9evSBXqSSskIiIajOGjFrIrNMhZ/MWZK9d++9NyhQKeDz+OHyGDYVLq1Y8S4SIiByOIaOWEAYD8g4fhm77DuTu3QtRVAQAUGg08BrwDLyffRbKoCCJqyQiorqEIaMGExYLCk+cgHbHDuR+/wPMOTnWZer77oX30KHQxMTwJmVERNWI2SJgMFlgMFmgN5utPxvN19vNZuhLPDeaix/Fyyww3lhmttgsN5rF9dfZvmbcY/ehRZiXJN+VIaMGKvr9AnQ7tkP77bcwXUq3tiv8/ODZqyc0MTFwjoriIREiIhQP6kazBXrTvwP1jYG95KBuKLFcb/y3n970bxDQX3/Y9jFbl938/vqbP89sgdkiqvT7D2gbVqWfVxJDRg1hTEuD9tud0G3fDv0ff1jb5W5u8IiOhmfvJ+DWrh1kTvwrJSLpCCGsW9lGU8mB2nZr3HDTsn8HfXMZg3zZg/rN/arLoF5RKic5VAq57Z/Xf1Y6yaFSyKBykkOpKH5Yl5VoV5VYpry+TH395yZBnpJ9N45I1ZgpOxu5338P7Y5vUXj8uLVdplTC7dFO0PSOgXvnRyF3dpawSiKSisl8Y/e5sNntXnpLvYz2MtpsQ4CwGdBv7LrXm2/qW8Z7VXcqJznUJQdzp38HabWy+Ge1UlH8p1Pxo2S/4j6K4vcpscym7/Xl/wYHmW1biaBQm/c6M2RUM5aCAuTu3Qfd9u3IO3wYMJmKF8hkcH3wQXj2fgKe0dG8QRlRFbp5MLceO78+2OpvGnSN5tIDb8nltx+ohc2Wus0AX2JL32CyoJpvoAMA5LKSW+oK61a5dQvcOjCXb1AvObCrS2z5q50U199TVmJZ3RvUqxuGjGrAnJuLvIMHkbdnD3L3H7DeUh0A1Pc3gaZ3DDx79YQyMFDCKomqhsUirLvBy9o6L7lrXW/TXqLvzf1v2nV/u637G/1ufI7RXDMGc5kMJQbckrva5TdtUcutu9FLtikVJbfCb/3akv1LDvg271fidQo5B/S6jCFDIsaMDOTu3Yu8PXuRf/So9cZkAKAMC4Nn7yeg6d0b6nvukbBKqs2sg3mpQdl2ktu/k93KPg5uM7hf381uLLmlXmLme6n2G31L9Knux88B293t/x4HlxVvjd90DP3GgK2+acBW3jTol+x/89Z3Wcfqb25zknMLnaofhowqIoSA/o8/kLd3L3J370HRb7/ZLFc1aACPro/Bo2tXOLdowV8WtZAQouwt6ZIz1m+1ZV5iYNffvOxWs9qtP5ttP/d6f1MNGMwB2B7rvtUAfGNXu7L0YF7WVndZk+vKOkZ/c1+lgoM5UUUwZDiQMJtR+MsvyN29B7l798KYkvLvQpkMLi1awKNbV7g/1hXqBpHSFVrLCCFgsvx7frnNzPYSW9Ilz0O36XvTrvVS71HGLvabT3+71c/V2Y2t8xsT30oe5755gL4xKa70ZLcSs9uvb9GXnhFfvNWvvOn5jeVON82e54BOVHNJHjIWLVqE999/H+np6WjatCnmz5+PRx555Jb9Dxw4gLi4OJw5cwbBwcF45ZVXEBsbW4UV356lsBD5R44gd89e5O3bB3N2tnWZTKWCW4cOcO/6GDy6dKnRNyW7MZAbr+/y/nd3942BWJS6gMytBmD9TYN8WVvjN0+qKxkajCZh8/5GswWiBmykO8lltoP3jQH85oH9poHfZvC/aQv91jPby55QV/JnDuZEZG+ShoyNGzdi4sSJWLRoER566CF8+umn6NmzJ86ePYvw8PBS/ZOSktCrVy+MGjUKa9asweHDhzF69Gj4+/ujf//+EnyDYqbsbOTt24/cPXuQf/iw9ZLeACDXaODR+VG4P9YV7g8/BLmb2119VlkXlSnrXHS9yQK90Yyi63/qTRYUXf/zxnObNpMZRcbiP/VGC4qu/3njOLk1RJj+fV5T3Jjdbp3YVuJ4uFJRxqB786S3MmbD35gFryoxqCtL9LvVzPaSwUHOCXFEVMvJhJBum69du3Zo3bo1Fi9ebG1r0qQJ+vbti/j4+FL9p0yZgm3btuHcuXPWttjYWJw6dQqJiYnl+kydTgeNRgOtVgtPT/tcoOT8pP9CfLfD+lzvVw/XWnZAZvN2yIpsDL2QV+iUtZJb5jfvoq/Ok+JUJXaDO8mv7yovYzJbqWPrNx0Lv3lC3a1mxd88O94mHHB2OxGR3VV0DJVsT4bBYMDx48cxdepUm/bo6GgcOXKkzNckJiYiOjrapq179+5YsWIFjEYjlEplqdfo9Xro9Xrrc51OZ4fqbf0c0gxeml+QGNQUiUFRSPIMKj6f7G8Af/9t988rqeRV32wnuCngrLyxi/zGz6X/VDvJ4axUQK2Uw9mp+E+1U/Ex95KDvfL6xWRu/PzvrHkZJ8MREVGZJAsZV69ehdlsRkBAgE17QEAAMjIyynxNRkZGmf1NJhOuXr2KoDLuMhofH4833njDfoWXQd2pMz5zuxcqJznCFXLcW8Et8ltu1StsZ8WXfB+lQsbj6EREVK1JPvHz5kFSCHHbgbOs/mW13zBt2jTExcVZn+t0OoSF2fdmMQMeDMeAB0vPISEiIqrLJAsZfn5+UCgUpfZaZGZmltpbcUNgYGCZ/Z2cnODr61vma9RqNdRqtX2KJiIionKTS/XBKpUKbdq0wa5du2zad+3ahY4dO5b5mg4dOpTqn5CQgLZt25Y5H4OIiIikI1nIAIC4uDgsX74cK1euxLlz5zBp0iSkpKRYr3sxbdo0DBs2zNo/NjYWycnJiIuLw7lz57By5UqsWLECkydPluorEBER0S1IOidj4MCByMrKwptvvon09HRERUVh586diIiIAACkp6cjpcRVMiMjI7Fz505MmjQJCxcuRHBwMD7++GNJr5FBREREZZP0OhlScMR1MoiIiOqCio6hkh4uISIiotqLIYOIiIgcgiGDiIiIHIIhg4iIiByCIYOIiIgcgiGDiIiIHELye5dUtRtn7DribqxERES12Y2xs7xXv6hzISM3NxcA7H6TNCIioroiNzcXGo3mjv3q3MW4LBYLLl26BA8Pj0rfJv3GnVxTU1N5QS874nq1P65T++M6dQyuV/tzxDoVQiA3NxfBwcGQy+8846LO7cmQy+UIDQ21y3t5enryP4MDcL3aH9ep/XGdOgbXq/3Ze52WZw/GDZz4SURERA7BkEFEREQOwZBRCWq1GjNnzoRarZa6lFqF69X+uE7tj+vUMbhe7a86rNM6N/GTiIiIqgb3ZBAREZFDMGQQERGRQzBkEBERkUMwZBAREZFDMGRUwqJFixAZGQlnZ2e0adMGhw4dkrqkaiE+Ph4PPPAAPDw8UK9ePfTt2xe///67TR8hBGbNmoXg4GC4uLigc+fOOHPmjE0fvV6PcePGwc/PD25ubnjyySdx8eJFmz7Z2dkYOnQoNBoNNBoNhg4dipycHEd/RcnFx8dDJpNh4sSJ1jau08pJS0vDc889B19fX7i6uqJly5Y4fvy4dTnXa8WYTCa8/vrriIyMhIuLCxo0aIA333wTFovF2ofr9M4OHjyImJgYBAcHQyaTYevWrTbLq3IdpqSkICYmBm5ubvDz88P48eNhMBgq9oUEVciGDRuEUqkUy5YtE2fPnhUTJkwQbm5uIjk5WerSJNe9e3exatUq8dtvv4mTJ0+KJ554QoSHh4u8vDxrn9mzZwsPDw+xefNmcfr0aTFw4EARFBQkdDqdtU9sbKwICQkRu3btEidOnBBdunQRLVq0ECaTydqnR48eIioqShw5ckQcOXJEREVFid69e1fp961qR48eFfXr1xfNmzcXEyZMsLZznVbctWvXREREhHj++efF//73P5GUlCR2794t/vzzT2sfrteKefvtt4Wvr6/YsWOHSEpKEps2bRLu7u5i/vz51j5cp3e2c+dO8dprr4nNmzcLAOLrr7+2WV5V69BkMomoqCjRpUsXceLECbFr1y4RHBwsxo4dW6Hvw5BRQQ8++KCIjY21aWvcuLGYOnWqRBVVX5mZmQKAOHDggBBCCIvFIgIDA8Xs2bOtfYqKioRGoxFLliwRQgiRk5MjlEql2LBhg7VPWlqakMvl4vvvvxdCCHH27FkBQPz000/WPomJiQKAOH/+fFV8tSqXm5sr7rvvPrFr1y7x6KOPWkMG12nlTJkyRTz88MO3XM71WnFPPPGEePHFF23a+vXrJ5577jkhBNdpZdwcMqpyHe7cuVPI5XKRlpZm7bN+/XqhVquFVqst93fg4ZIKMBgMOH78OKKjo23ao6OjceTIEYmqqr60Wi0AwMfHBwCQlJSEjIwMm/WnVqvx6KOPWtff8ePHYTQabfoEBwcjKirK2icxMREajQbt2rWz9mnfvj00Gk2t/XsYM2YMnnjiCXTr1s2mneu0crZt24a2bdvimWeeQb169dCqVSssW7bMupzrteIefvhh7NmzBxcuXAAAnDp1Cj/++CN69eoFgOvUHqpyHSYmJiIqKgrBwcHWPt27d4der7c5rHgnde4GaXfj6tWrMJvNCAgIsGkPCAhARkaGRFVVT0IIxMXF4eGHH0ZUVBQAWNdRWesvOTnZ2kelUsHb27tUnxuvz8jIQL169Up9Zr169Wrl38OGDRtw4sQJ/Pzzz6WWcZ1Wzt9//43FixcjLi4Or776Ko4ePYrx48dDrVZj2LBhXK+VMGXKFGi1WjRu3BgKhQJmsxnvvPMOBg8eDID/Vu2hKtdhRkZGqc/x9vaGSqWq0HpmyKiEm28RL4So9G3ja6uxY8fi119/xY8//lhqWWXW3819yupfG/8eUlNTMWHCBCQkJMDZ2fmW/bhOK8ZisaBt27Z49913AQCtWrXCmTNnsHjxYgwbNszaj+u1/DZu3Ig1a9Zg3bp1aNq0KU6ePImJEyciODgYw4cPt/bjOr17VbUO7bGeebikAvz8/KBQKEqluMzMzFKJry4bN24ctm3bhn379iE0NNTaHhgYCAC3XX+BgYEwGAzIzs6+bZ/Lly+X+twrV67Uur+H48ePIzMzE23atIGTkxOcnJxw4MABfPzxx3BycrJ+X67TigkKCsL9999v09akSROkpKQA4L/Vyvjvf/+LqVOnYtCgQWjWrBmGDh2KSZMmIT4+HgDXqT1U5ToMDAws9TnZ2dkwGo0VWs8MGRWgUqnQpk0b7Nq1y6Z9165d6Nixo0RVVR9CCIwdOxZbtmzB3r17ERkZabM8MjISgYGBNuvPYDDgwIED1vXXpk0bKJVKmz7p6en47bffrH06dOgArVaLo0ePWvv873//g1arrXV/D127dsXp06dx8uRJ66Nt27YYMmQITp48iQYNGnCdVsJDDz1U6vTqCxcuICIiAgD/rVZGQUEB5HLbIUWhUFhPYeU6vXtVuQ47dOiA3377Denp6dY+CQkJUKvVaNOmTfmLLvcUURJC/HsK64oVK8TZs2fFxIkThZubm/jnn3+kLk1yL7/8stBoNGL//v0iPT3d+igoKLD2mT17ttBoNGLLli3i9OnTYvDgwWWefhUaGip2794tTpw4IR577LEyT79q3ry5SExMFImJiaJZs2a15hS2Oyl5dokQXKeVcfToUeHk5CTeeecd8ccff4i1a9cKV1dXsWbNGmsfrteKGT58uAgJCbGewrplyxbh5+cnXnnlFWsfrtM7y83NFb/88ov45ZdfBAAxb9488csvv1gvk1BV6/DGKaxdu3YVJ06cELt37xahoaE8hbUqLFy4UERERAiVSiVat25tPUWzrgNQ5mPVqlXWPhaLRcycOVMEBgYKtVotOnXqJE6fPm3zPoWFhWLs2LHCx8dHuLi4iN69e4uUlBSbPllZWWLIkCHCw8NDeHh4iCFDhojs7Owq+JbSuzlkcJ1Wzvbt20VUVJRQq9WicePGYunSpTbLuV4rRqfTiQkTJojw8HDh7OwsGjRoIF577TWh1+utfbhO72zfvn1l/h4dPny4EKJq12FycrJ44oknhIuLi/Dx8RFjx44VRUVFFfo+vNU7EREROQTnZBAREZFDMGQQERGRQzBkEBERkUMwZBAREZFDMGQQERGRQzBkEBERkUMwZBAREZFDMGQQERGRQzBkEBERkUMwZBBRldu/fz/q169fZa8jImkwZBBRtSaEQG5urtRlEFElMGQQUbVgsVgwatQoeHl54aOPPrK2Dx48GCEhIcjIyJCwOiKqDCepCyAiAoCCggLEx8ejfv36mDVrFsaPHw+ZTIbp06cjNzcXWq1W6hKJqIK4J4OIqgV3d3f4+fmhe/fuyMnJQVJSEgAgJSUFUVFRaNSokcQVElFFcU8GEVUrjRs3BgBs2bIFFy9eRMeOHTFnzhyJqyKiymDIIKJqw2KxYMeOHXB2dsaff/6JBQsWQKlUSl0WEVUSD5cQUbVw4MABjB49GgEBAWjVqhWcnZ0ZMIhqOO7JICLJvf7662jYsCGWLFkCAGjQoAEuXLggcVVEdLe4J4OIJLVjxw5kZ2djwIAB1rbWrVvj6NGjKCgoQHp6uoTVEdHdYMggIkkZDAYsWrQICQkJ1rahQ4ciICAArVu3xpkzZySsjojuBg+XEJGk+vXrh4sXLyIkJMTa5u/vz3BBVAtwTwYRSa5kwCCi2oMhg4iIiByCIYOIqlz9+vUxceLEKnsdEUlDJoQQUhdBREREtQ/3ZBAREZFDMGQQERGRQzBkEBERkUMwZBAREZFDMGQQERGRQzBkEBERkUMwZBAREZFDMGQQERGRQzBkEBERkUMwZBAREZFD/D88mQE+htkNkAAAAABJRU5ErkJggg==", + "image/png": 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", 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