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{ | |
"cells": [ | |
{ | |
"cell_type": "code", | |
"execution_count": 1, | |
"id": "71751264-3ea5-4de3-9d0e-7b2a1bb1deb8", | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"#molecule drawing:\n", | |
"from rdkit import Chem\n", | |
"from rdkit.Chem import Draw, rdDepictor\n", | |
"from rdkit import Geometry\n", | |
"\n", | |
"#numfocus stack:\n", | |
"import numpy as np\n", | |
"import matplotlib.pyplot as plt\n", | |
"from scipy.spatial.distance import cdist\n", | |
"\n", | |
"#processing PNG images:\n", | |
"import PIL\n", | |
"import io" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"id": "349847c1-8368-45b8-8432-aa49e999a750", | |
"metadata": {}, | |
"source": [ | |
"Begin with a molecule, indomethacin here. Give it a 2D conformer so we have atomic coordinates to fetch:" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 2, | |
"id": "6ce865fd-b856-440f-b473-cd80473290b4", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"name": "stdout", | |
"output_type": "stream", | |
"text": [ | |
"0\n", | |
"1\n" | |
] | |
}, | |
{ | |
"data": { | |
"image/png": 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\n", | |
"text/plain": [ | |
"<rdkit.Chem.rdchem.Mol at 0x7f8130729cf0>" | |
] | |
}, | |
"execution_count": 2, | |
"metadata": {}, | |
"output_type": "execute_result" | |
} | |
], | |
"source": [ | |
"m = Chem.MolFromSmiles('Cc1c(c2cc(ccc2n1C(=O)c3ccc(cc3)Cl)OC)CC(=O)O')\n", | |
"print(m.GetNumConformers())\n", | |
"rdDepictor.Compute2DCoords(m)\n", | |
"print(m.GetNumConformers())\n", | |
"m" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 3, | |
"id": "1e1e0b20-5253-410e-89d7-9a1ee10f2c0e", | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"#this function returns points around a circle:\n", | |
"def circle(centre, radius):\n", | |
" t = np.linspace(0, 2*np.pi)\n", | |
" x,y = np.sin(t), np.cos(t)\n", | |
" coords = np.array([x,y]).T\n", | |
" return coords*radius + centre" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"id": "8dd1d831-94d9-414d-8d00-f23a24650d17", | |
"metadata": {}, | |
"source": [ | |
"Draw the molecule to a canvas, then calculate a mapping between molecule coordinate space and canvas space. " | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 4, | |
"id": "bf3d7cc9-e11b-460e-bf57-3df06511d8a2", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"name": "stderr", | |
"output_type": "stream", | |
"text": [ | |
"[17:07:54] The new font size 0.8 is below the current minimum (6).\n" | |
] | |
}, | |
{ | |
"data": { | |
"text/plain": [ | |
"<matplotlib.collections.PathCollection at 0x7f8100dd18b0>" | |
] | |
}, | |
"execution_count": 4, | |
"metadata": {}, | |
"output_type": "execute_result" | |
}, | |
{ | |
"data": { | |
"image/png": 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\n", | |
"text/plain": [ | |
"<Figure size 720x720 with 1 Axes>" | |
] | |
}, | |
"metadata": { | |
"needs_background": "light" | |
}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"\n", | |
"fig, ax = plt.subplots(figsize=(10,10))\n", | |
"\n", | |
"#fetch atom vDW radii:\n", | |
"ptable = Chem.GetPeriodicTable()\n", | |
"radii = np.array([ptable.GetRvdw(at.GetAtomicNum()) for at in m.GetAtoms()])\n", | |
"conf = m.GetConformer(0)\n", | |
"\n", | |
"#fetch 2D coords:\n", | |
"pos = conf.GetPositions()[:,:2]\n", | |
"\n", | |
"#draw to a canvas in PNG format:\n", | |
"d = Draw.MolDraw2DCairo(350, 200)\n", | |
"d.SetFontSize(0.8)\n", | |
"d.DrawMolecule(m)\n", | |
"d.FinishDrawing()\n", | |
"txt = d.GetDrawingText()\n", | |
"\n", | |
"#convert PNG to PIL object so we can plot:\n", | |
"image_stream = io.BytesIO(txt)\n", | |
"image = PIL.Image.open(image_stream)\n", | |
"\n", | |
"#plt!\n", | |
"ax.imshow(image)\n", | |
"\n", | |
"#figure out mapping to canvas coordinates:\n", | |
"pt = d.GetDrawCoords(Geometry.Point2D(0,0))\n", | |
"interceptx, intercepty = pt.x, pt.y\n", | |
"rise, run = 1, 1\n", | |
"pt = d.GetDrawCoords(Geometry.Point2D(run,rise))\n", | |
"gradx = (pt.x - interceptx)/run\n", | |
"grady = (pt.y - intercepty)/rise\n", | |
"\n", | |
"#for each atom, get an array of points on the circumference. \n", | |
"#then remove any points that sit within the radius of any other atom\n", | |
"#the remaining points sit on the vdw surface. \n", | |
"vdw_pts = []\n", | |
"for p, r in zip(pos[:,:2], radii):\n", | |
" pts = circle(p, r)\n", | |
" \n", | |
" #remove points that fall within radius of another atom: \n", | |
" pts = pts[(cdist(pts, pos)-radii).min(1)>-1e-3]\n", | |
" \n", | |
" canvas_coords = pts * np.array([gradx, grady]) + np.array([interceptx, intercepty])\n", | |
" \n", | |
" vdw_pts.extend([tuple(c) for c in canvas_coords])\n", | |
" \n", | |
"\n", | |
"ax.scatter(*zip(*vdw_pts),\n", | |
" c='gray', \n", | |
" s=10,\n", | |
" marker='.')" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"id": "6a905c7c-d8eb-4c56-aecd-ee8465d1525c", | |
"metadata": {}, | |
"source": [ | |
"# Calculating solvent-exposed surface area (in 2d)\n", | |
"this time, we'll add expand the radius of each atom by the radius of a probe sphere. I'll use radius=1.4 to be consistent with the 3D situation, where 1.4 approximates the radius of a water molecule. \n", | |
"\n", | |
"In addition to using larger radii, this sets the number of surface dots to be proportional to the exposed area. After removing the dots that sit within the expanded radius of any other atom, we can estimate the exposed area by counting the number of left-over dots.\n", | |
"\n", | |
"I'm calling this SASA but that only makes sense in the 3D case. The principles are the same in the 3D case though. \n" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 5, | |
"id": "674479aa-fd75-4b37-b6ca-af3fa5aa9949", | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"def circle(centre, radius):\n", | |
" circumference = 2*np.pi*radius\n", | |
" ndots = int(circumference * 10)\n", | |
" \n", | |
" rads = np.linspace(0, 2*np.pi, ndots)\n", | |
" x,y=np.sin(rads), np.cos(rads)\n", | |
" coords = np.array([x,y]).T\n", | |
" return coords*radius + centre" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 6, | |
"id": "c8a46f99-44a4-4c61-98d3-6022af32dcd1", | |
"metadata": { | |
"tags": [] | |
}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"<matplotlib.collections.PathCollection at 0x7f8110d9ed60>" | |
] | |
}, | |
"execution_count": 6, | |
"metadata": {}, | |
"output_type": "execute_result" | |
}, | |
{ | |
"data": { | |
"image/png": 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ZQlxcHEuWLPH0UHRJf6XTe7rg6e7zpk2bhslkYtq0ab0am7yYukJkzSxNI1OEfYE0HvYpMp0gkQw8Pe13/TnRpKdly2PAJSJtKR5Dpgj7C1lAtF+Q9a4kkoGnp8hxf0406WnZMop9ichIliaREawrQV41SCTejdUKHR3Q3Kz+DWA0gr8/RESAyQQGbV2nXm70R0tRIy2NRVfIc9KAc6EIlmmgB+NVOBtzSjP7FSMPqBLNIYTalH3nTnjvPTh0SBVTsbEwdiz87GeQlKSKLaW7phWewT3609O+1N3+lp6erpl9r7uxyGNEL3Cek5yRLGlX8SjauvTSC87UIMiUYB8hUwISTeFwwMGD8NRT8Ne/QlYW/P3v8Oqr8L3vQVcX3Hgj7NoFTU2eHu059Calp8f9TY9jHnDk7EJNIQXW5eDsLSh/vH2GLCgq0RQOh3qSslph1ChYuhTGjFFTL3PmwLXXqq/btQsKCz071vPojYdRj/ubHsfsMVatUiddNTZKP5YHkR6sS2XNGrUcA6imdhm9kki8j64uNc2SnKwKqrvuOvf5xkb47nfBYoHly+GWWzwyzN7gzak1b163K0b6sQYEOYuwL3nySdWXERYmxZVE4o0Iod7y81WBNXr0t19jNsP8+VBbC1VVAz/GC3B+bSlvTq1587pdMXJmoceRAqu3yCrt/YIsNCjRHEJAZyfU10NAgBqlOh+n2b2hQZ1hqCHOFx3enFrz5nW7YqQfy+PIWYS9xem7Ahlu7UN6M+NJIhlQFEUtvxAUpKYKOzq+/RohoKUFAgNVEaYh5s2b50qbgbZmB/Y13rxufYacWegxZASrN6xZo3ouUlJk5KqPkVegEs2hKGqtq8hIVUTV1X37NQ4HnDqlRrdCQgZ+jBfAlwv1yoh4N8hIlseQAqs3SN9Vv+HLJwOJhlEUSEuD8nIoKAC7/aw3y+FQU4g7d0J0NMTEeHq0kjNIT9YFkJ6sAUcKrAvhw76r7q4EN27cyLPPPsvGjRsv+DqJRPcYjfDjH0NZGfzjH/DOO2q9q8ZG2L0bnn8eduxQZxDOmOHp0UrOICPiF0BGsgYc6cG6ED7gu+ppmnN33qidO3dis9nYuXMnCxcu7PF1F1pubz5bEzgc0NqqGpjtdoiKUit2G42eHplkIFAU9eLqrrvUY8CaNfDhh+pzBoPqu3rySfU14eEeHKjEHenJ6gWrVqmlhpw1smRWpt+QEawL4QypenHk6lIavE6bNg2TycS0adMu+LoLLfdSXzPg2O1qWmjrVvjiC/W2YQN89hls3w7Hjp1NFUm8F0VRU3+zZsHcuZCQoD6mKKpVYORIWLiw+xmGEk3RXeTdp1mxQv0Nl5TIKFY/IwuN9sSaNWf7DHqJwu8uYtRfUaQLfVZaWhqFhYWue81EsISA9nb4+GP485+hsvLsbLLKSjVacdVV8NBDmus/J+knurrO+q+c37nDof5OiorUaFZMDAwe7OmRSnrg2WefxWazYTKZeOKJJ1yPazqC3t944fnNU8hCo5eDF7bD6S5i1F8m8+6W6/z8nTt3UlVVRWFhobYM7nV1qnH5gQfUVij//rfaj273bli/HjIy4K234OWX1fShxPt59VW4+25YsgRKS1Vze00NbNwI06apv5VPPvH0KCUXoLvIO/QcQfcJX6nTjwXS8N6PSIHVHV5SluH8A4WnDaDOz582bZo2jagnTsBXX8GkSWqV7vR0NWrh5wfDhqmPzZwJH33UfW0kifdRWQlHj6pV3Wtr1YiW2aymBq1WVZS3tHh6lJILsHDhQp544gmXb9TJldgbvAYvDCRoCWly7w5nWYZx43QdPj3fgO5pA6j7559/sNMEDQ2qxyojA4YMOddfExwMQ4eqU/fffVeNZDgcaopIZ9jtdgCM0rB/cRwOVUg1N6sXXXa7KrCcta9aW9XfgkR39HQ8PL9QK3hxOlEa3vsV/Z0dBgIvMbd7OmKlO9ra1PRPaqoauTqfqChVeNXWqifVM0JFDzgcDqxWKw0NDTQ0NNCssfYumiUoSBXXQqgnIZtNjWiGhqrPt7So0UwNeVklV8aF7A1eF9WShvd+RQosd5x1r0DNT+tIzXfnG5BFPC+Rri41IhEU1L2B3d9fbY0ihCrGbLaBH+Nl0tLSwrp165g3bx733nsvb775pqeHpA9CQ9VIphBw+rT6G/H3V0szGI1qZKu19awRXuKVdHex6jVerVWrVDuMM4ol6TOkwHJHx/lor73CGkiCgtQGvpWV3Yunpib1JBscrJ5gu4tyaRSj0Uh4eDhVVVXs37+fffv2eXpI+iAk5Gw6sL7+7O/CaFSv/A0GNYIlI4JejVdHtWQUq9+QAsuJzo3tMh3YB1gsar2j3Fw19eNwnPt8ebnq0UpKUtNEOvJfmc1mEhIS8Pf3p6GhgVOnTnH69Gkc56+j5FwCA89GLZubVYGlKOp3b7Go91arNLr7IF51zPUSW4zW0M8Zor/Reb9BmQ7sA6Ki1JmDBw6oU/Jra9X0T1ubOlssLw8OHYLJk1WBpSPMZjPJycnExcUhhKCmpobi4mIpsC5GUJB6E0KNYDp9d4qipg+NRtWPJyNYPkd3x1zdpg1l2YZ+QQosJzpT8LrdkbXM8OFw881q0cjHHoNf/xo++AA+/xx++Ut47TU4dQoef/xs2khHGAwGZs6cyZAhQ2hoaGDDhg3YdOQj8wgWy7c9WKAKrOhotRBte7uaPpT4PLpPG+rYJqNFpMACXVa11f2OrAWqqtQWOI89Bvv3q5GqqCj429/gu99VIxRffaVWdrdY4Ac/gBdfVNPIOitxoJwx7c+YMYP4+HgaGxvZsmWLFFgXw+nBEkKNYjq3l8EAERHq76CjQy3xIfF5dJ82lIb3PkXWwYJzVbtOBFZ3tVokl0BXl5oGfP992LdPLc0QFAQjRqiRLKtV/bu+/myz5+Rk1aOlI3P7+WRmZhIbG4vVaiU/P5+mpib8/f0xm82eHpo2caYIQU0ROgWWsyeh0Sg9WBIXnq41eMWsWKHL86FWkQJLp+Z23e/InsbpqfrsM/X7P3VKPYGCKqhSU1U/lpcJj6FDhzJo0CDMZjMnT56ksrISi8UiBVZPSA+W5ArRXZHSVavOZnQkV4RMEerE3C49V32IELBunZr6q6mBzEy45hrIylJPoMePqzMJT53yqtpGiqIQEBDA8OHDycjIwOFwsGPHDmpqajw9NO1isZxNEdbXq5FPIb6dImxs9PRIJRpFd3aOFSvOiiyZJrwipMDSiblddzupVhFCLbXw8cdqw97AQPjtb9Veg4qipnoefxxuvx1+8xu1ybMXiSyAjIwMJk+ejBDC9buS9EBISPcmd4PhrMlderAkF0CXvixpdu8TfFtg6cjcrsudVIvY7arv6uhRCAiAGTNUgR0SopZlyM6GPXvUFGJgoNoax8tITk52pSpyc3Opra2VZveeMJtVz52/v+q16uhQRZZMEUp6iS5L6Eize5/g2wJLRypdlzup1ujqUkXU2rXqDMLBg2HxYvXeaISTJ2HTJjU1OHiw2tg5OdnTo+5z4uLiGDp0KEFBQZw4cYLq6mpapEm7e4xGteZZUJBaeLa9XRVUToFlMCCsVoTcfpJeogu7h6zu3if4tsBatkyNYixb5umRdIsudkS94EzxrFunRqisVhg9Gr73PTXd096ulmp4/XX19bffDgsWqJGt7voS6hiLxcLgwYMZMWIEXV1dFBYWUlhY6OlhaRZhNiPCwxGKgmhuRrS1qX9HROAwmXB0duJobsa7EsmS/kI3dg+d2Ge0jG8LrLVr1ZD/2rWeHkm36GZH1AOdneqswWeeUcXVrbfCXXepPQUB3npLTR02NMDUqXDddTB2rCdH3K+Eh4ezePFiTCYTOTk5sjfhBaiLjOTrqVP597RpHDAYqGltxWEwUBYdzfUWC5NsNm6srfX0MCU6QTd2D2l2v2J8W2BpXKHrZkfUA9nZqmG9okI1tM+apbaEADUluGWLOnMwMFAtMjp4sGpg9lIsFgtTpkzBaDRSVFREQUEBQgiElxn6+4IKh4NPOjt5sbiYAzU11LW1oSgKfmFhlDsclLS2Ui49WJJeoiu7h45sNFrEdwWWDgzuutoRtYoQaj/B7Gz45hs1kjVjhpoeHDRINb3v3Kn2GGxuVsXXokXqzDEvSw26ExQUREZGBkFBQdTU1HDixAmapUjollbgqMPBN1VVlNbX09zeDopCUEgIXULQ1tlJa2urFKgS70Oa3a8I3xVYUpl7P86T3fHjsHWrKqQCAuCHP1SrtQuhtsd5/nk4cUI1tK9cqT6n42rtvSEgIIDU1FTi4uLo6uqisrKSoqIiKRC6wWw2Ex4ejqIoNDc309raiqIoWCwW/Pz8sNvttLW10eUs4SCR9BLN+2yl2f2K8E2BpfHq7Zrf6fSEw6F+x7t2QWws3HuvmhYODYWyMnj7bdi9W50tNnMmPPSQp0c8YBgMBhYuXMigQYOoqanhyy+/xO6sVC5x4e/vT1RUFACNjY3nzLgMCwsjKCgIm81GbW2t3H6SS0IXPluNW2m0jG8KLI1Xb9fFTqcHmpvVZs3Z2eoswbQ0uOMOddp9Rwfk56vmdpsNli9XU4OhoZ4e9YCgKAqKojB58mSioqKor69n9+7dOBwOTw9Nc5jNZsLCwgBobW2lvb3dtf0sFgsBAQE4HA4aGxvl9pNcEtJn6934psDSuCKXO92VY7PZqK+r4+uvvqKpsxPb0KFqK5zRo9WyDMePq2UZDh5UK3LPmqX+Jsxmr/ZeuaMoCpmZmURFRdHR0UFBQQFtbW0yCnMeJpMJi8WCoii0tbXR3t7uei44OJiAgACEEDQ1NUmBJbkkdOGzlXaay8Y3BZbG0cVOp3Ha2to4UlrK0x99xNGEBFqWL0csX67OEnQ41DY5X36perAmT4bp09UGzz7GqFGjGDRoEEIIjh8/TlVVFVar1dPD0hRms5nQM5HNlpaWcwRWSEiIK4LV0NDg0+JUCIHdbsdms+FwOKSfz1uQRvfLxjcFllTkXs/69et5/sUX2XT0KD8xGtkxeTLMnq0a23Nz1QPFtm1qIdFnn1VnD/ogfn5+ZGZmkpmZid1uZ+PGjdTKmk7n4OfnR3R0NPBtD1ZERATBwcHY7XZOnz7t0xGsxsZGCgoK2Lp1K8eOHZNC/RLRrPdWGt0vG98UWBpNEWp2B9MRzkjMtm3b2Lp1Kwajkfu+/30yzqQGbTYb+z/6iPrKSnXW4E03qeIqIMDTQx9wnD6ikSNHMmrUKBwOB9u3b6e+vt7TQ9MUTg+W+yxCJxaLhcDAQBwOB/X19T4ZwbLZbOzatYsf//jHfO973+OnP/0pd955J08//TSff/45p0+f9vQQdYGmvbcaPWdqHe+tpNgTGq5/5b6DyfTgpeNMSWzZsoXc3FxaWloYO3YsU6ZMISYmhtbWVo4fO8Y7W7cyrrOTMWlpjFm6VI1iGXzzWgMgJSWF4cOHI4Tg0KFDNDQ0YLPZMHlxodVLwWw2Y7FYADX13NHR4XouODgYf39/HA6Hz3mwHA4HdXV1HD16lPfff59NmzZRUVHh2gadnZ1UVVVx/PhxxowZQ3p6OmFhYfh7eQmUy2XevHls3rxZm97bFSvOni81fA7VGr53BHVPD2rsx6HpHUwHCCFob2/nvffeIy8vj/DwcK677jpSUlIIDAyktLSUzz7/nOd37GDGiBFcP3GiKrB8xNTeE8nJyaSmpmIymcjPz6empoaOjg5CQkI8PTRN4B7Bamlpoa2tzSXm3T1YviKwhBA4HA6am5s5dOgQ7733Hq+99hoGg4GQkBD8/f3p6uri6NGjHDlyhNWrV7N48WLuuece0tLSiI2NJSAgAJPJhOLj+5476enp+riw1vA5VGv43mW7hkOd0tx+ZTQ1NfGPf/yDXbt20dHRwejRo/npT39KYGAgra2tHD58mN///vdYrVamLlvG1BUrfDI1eD4Wi4XExETGjx9PV1cXubm5FBQUeHpYmsHPz4/IyEhXirClpcUlsMLDwwkODsbhcPhMHSwhBCdOnODxxx/nwQcf5KWXXsJms3H11VfzwgsvcOTIET7//HPuv/9+MjMzaWxs5J133mH58uWsXLmSn/3sZ+zduxebzebpVZFcDs5z6LJlarsxaXzvEd+LYEm8ko6ODsrKynjppZdobm7mmmuu4ZZbbiEoKAiAL774go8//pimpiamTJnC3LlzGT16tM9Hr0D1YkVGRjJr1iz27t3LwYMHSUtLIysry9ND0wSKorhKNTQ2NtLZ2UlzczOhoaGEhoYSFBTk8mB5cwRLCEFlZSVbt27lj3/8I8XFxVitVoYOHcqvfvUrpk2bxpAhQwgLC2PMmDEkJCRw5513UlRUxJo1a/jiiy8oLi6moqKCLVu2MGXKFObNm8ekSZMYe6axuoxo6QBnunD8eDWS9fDDMmXYA74nsDQa3szPz3elB/s8giWEWpqgqEj1GiUlqcU2nQczux1qa9VpuBEREBNz9r0dHdDUpFY9b2tT60RZLDBkiDqzRCMHxJKSErZt28axY8eIi4tj4sSJTJ48GYPBQGVlJXv27CE7OxtFUVi+fDnDhw8nODjY08PWDKGhoYwfPx6DwcCxY8coKSlxRWl8/aSnKIor/dXc3MypU6dYt24dra2tHDt2jNLSUq9OETpT7zk5Oezdu5evvvqKnJwcYmJiGDt2LHPmzGHBggUkJCQQcCYibDKZCA4OJioqisGDBxMYGEhiYiKFhYUUFxeTn59PR0cHtbW15OXlMX78eMaPH09SUhKhoaE+/Zvr13NBX7JqlXoebWzU5DlVC/iewFq2DAoK1HsN0e8Gd7sdvv5aFUhRUarAcn/u+HE4ehRGjVIFlhCquDp16mxRzqYm9X3R0TBmjHoFExQEHjZDW61WcnNz+fTTT2lra2PBggVkZWWRmpqKEIKcnByys7M5fvw4MTEx3HDDDQwZMsSjY9YaoaGhjB07Fj8/P0pLSykpKaGjo8N1wvR1nFXbq6urKSoq4o033nDN9nVWcK+rq6OzsxO73Y7RaPTwiPsGu91Oe3s7RUVFvP/++2zcuJFDhw4RGRnJ5MmTufrqq7n11ltdhVid/qyamhr8/PwICAggPj6e6667jrlz57J79262bduG3W6nsrKSzZs3880335CcnMydd97JnDlzSE5OJiQkhJCQENdMV19CN5OdnJEsp+ndmTKUkayzODvAa+GWlZUl+p1x44QA9V5DHDlyRLz88sviyJEjfb9wh0OIlhYhFi0SYsUKIY4fVx9z0twsxJ//LMQ11wjx2mtn37NhgxA33STE4MFC3H67EKtWCfHjHwuxZIkQwcHqa0+c6PvxXiK5ubniwQcfFAaDQfj5+YmvvvpKnD59WjgcDmG1WsXcuXNFZGSkSElJEatWrRKdnZ3C4b7+EuFwOER7e7vIzMwUQUFBYvHixWL37t1yO52hpaVFzJgxQ1gsFgF866YoiggJCRFffPGFqKmp8fRw+4yamhrxzjvviISEBOHn5yf8/PxEfHy8eOedd0RlZaVwOBzn/EYcDoeoqqoS8+bNEz//+c/F2rVrRUNDg+s5h8MhbDabaGxsFC+//LJYvHixiIqKcm3HuLg4cdVVV4kXX3xRtLS0CLvd7qlV9xj9ei7oT9zPratXn733coBs0YOm8b0IljOsqTGTu6ZmkDgcavTqf/0viIuDX/8arr9ejV7Z7VBRAevXw//+3xAert7OTGMfSMSZq+U//elPbNq0idDQUG6//XYyMjIICwvj9OnTrFmzhoMHD2I0GpkwYQL33XefnL3UDc402OzZs2loaKCqqopt27aRlZXl89uqqqqK7du3c/ToUdrb2zGbzURERLB8+XIKCgooLS2lvLyc1tZW7r33XjIyMsjKyuI73/kOmZmZmM1mT6/CJSGEoK2tjXXr1vHFF1/wySefUFtbS2pqKrNmzeK+++4jIyODoKCgb/02Kisr2b17N7t27SInJ4f333+fxMREVqxYwU033URcXBwBAQEEBwdz6623snTpUsrKyti2bRt/+9vfqKys5JtvviEnJ4c333yTRYsWMXPmTGbPnk1wcLBP/BY1dS64FNzPrRq14gw0viewJBenqwtKS6G8XG0jM3cuDB589vmgIFWEvfCC6s06dUptM2O3qynIAaopZbVayc7OZv/+/dTX1zN48GBWrlxJWFgYNpuN8vJyPvzwQ5qbm5k7dy7z588nJibGJw7Sl4PBYGDChAls3bqVuro6Dhw44LPtToQQWK1W9u3bx549e9i4cSNNTU0MGjSIzMxMZs+ezdSpU6murqaiooLS0lKys7M5ePAgBw4coKqqisrKSrKyshg1ahTDhw8nKSkJ0LanzWq1UlFRwYcffsg333zDwYMHOX36NAsWLGDevHlMmTKFUaNGudJ35xMcHMzQoUO58847yc7Opry8nJycHGw2GyUlJYwcOZIRI0aQlZVFZGQkFouF8PBwLBYLkZGR5OXlUVBQwMGDBzl06BCdnZ0UFBSwa9cuJk2a5HqfrKWlQdxrZYFMG+KLAkuDynpATY2trXDihCqQnAfItjbV5O6cYt7VBcXFqg8rMRHOH1NwsOrViohQ31dSohbrPHVKLXvgLrDO96IYDOca48/8bzMYaDWbOW21wnm+C4PB8K3/Qe0Lt3btWkpKSnA4HMTFxTFy5EjMZjOVlZXk5eWxZcsWAgICmDZtGnPmzJHFMy+AoiiMHTuWsLAwTp48SV5eHlarFX9/f9c29wWcvqPCwkI+/fRTNm3axK5du4iNjWXq1KksXryYG264gaioKFfphvLycj766COMRiPl5eWcPHmSQ4cOkZ2dzZw5c5g+fTpTp04lKiqKkJAQzGazpoSWw+GgpaWF6upqduzYwWuvvUZlZSUAGRkZ3HzzzSxcuJCUlJQLjjs0NNRVbubDDz9k79695Ofnc+TIEfbu3cvIkSOZNGkSNpuN9PR0V6uhsWPHMmbMGA4fPkx2djYWi4V9+/ZRWlpKYWEhX331FUuWLMFqtZKamkpcXBwRERGa246SM5w/01BD59uBRNHSFeqkSZNEdnZ2/36IBqvQvvLKK1RVVREXF8eDDz7Y9x8ghCqiVq6Effu+3RrGbofqatW8ft99avuYf/8b3nwTHnwQ7rrr28vs6oLrroMRI2DQIFWwPfnkWZHmxGI5V2SFhKimeOdBMTAQzGZqQ0LYlJTEiyUl4Od3jhCyWCzn/B8UFITBYKClpYU1a9bQ1dVFcnIyo0ePZu7cudx333188sknvPXWW3z55Zdcc801PPLIIyxcuPDKt6UXI4TAZrPxne98hy+++AKz2cyePXtITEz0CbO781jY2NjIgQMH+OEPf0hpaSmdnZ1YLBZ+85vfcPPNN5OQkNDjSf306dN88803rF+/nrfeeovGxkaEEAQHBzNixAgefPBBl1BxF62eEgnOde7s7GTDhg189NFH/O1vf0MIQUpKCrNmzeI3v/kNw4cPvyzjvvNC5+9//zurV6+mubkZIQQGg4FFixZx0003MXv2bEaOHOl6j6IorvY7f/vb39i+fTtHjhwBICAggPHjx7No0SLuu+8+4uPjXccGbxJauplJeDHcDfBr12rqvNtXKIqyVwgxqbvn+uRyXlGUEqAZsAM2IcQkRVEigX8DKUAJcIsQQjY564YBreA+YgT84Aeqt8pJR4fqqXIWl1QUVYDZbN8WTO50dqpiyd9fFVzBwdDSoootJ26NcQF1JqL7gfDM3/bQUJqNRg4cOED7eZ95fvTEeSB1pnEAysrKqKioYOvWrXzzzTccO3aMoqIiAgMDefTRRxkzZkwvNo7EZDIxbtw4SktLyc/PZ+PGjVx//fVeL7Ccv6V169axbt06PvjgA+rr60lKSmL27Nl8//vfZ/To0a66aj0RERHB4sWLmTVrFv/5n//Jxx9/zLp168jJyeHQoUM8+uijDBkyhMzMTJYuXcott9xCQECAx2Yd2mw2jh07xqpVq9i7dy8nT57EaDRy5513cuONNzJ16lQiIiIuO4IZExPDzJkzmTBhAj/+8Y/5+uuv2bp1K59//jlbtmxh165dREdHM3bsWO677z4mTZpEbGwsRqORyZMnk5mZyalTp8jNzeWvf/0ru3fvZt++fRw+fJi//e1vLF68mKuuuorp06eTkpLStxvHg+hmJuHF8PFIVl/mS+YLIWrd/v8VsFEI8ZyiKL868/8v+/DzLg8NpggH1NQYFgYZGWrqz0lbG+TlwbFj6v8mkyrAmprUW0fHuREvhwOsVqiqUiNQaWlqXazISFVoOaOiQqgizF1wOf93vqarC+x2Ak0mRkZH84OpU2m3Wl31hJwnPvcK2c7/nVffNpvN5YMpKytj9+7dNDc34+/vz8KFC0lNTZVtX3qBU7impaUxbNgwV4rrqquuIs5dkHsZVquVmpoa/vWvf7F9+3YOHz5MfX09c+bM4eqrr76o78gdg8FAQEAA/v7+hISEcM011zBy5EiKioo4cOAAGzdupLy8nMbGRiorKzl48CATJkwgIyODzMxMAgICBiQSI85UY8/JyeHdd9/lm2++obW1lfj4eFauXMk111xDeno6UVFRV5QeNhqNGI1G/Pz8SE9Px2KxkJGRwYwZM/jmm2/Izc2lqqqKnTt30tbWxvjx48nMzGTixImuySp+fn5YLBbCwsLIycnh8OHDHD58mEOHDrF582aKi4vZuHEjWVlZzJs3jyFDhhAaGtqHW2vg8bq2aU7ju495svrTkHIdMO/M328Am9GCwNJoHawBw99fTQXGxZ2NJLW0QGjoWe+UyaQKJodDTR2ePAnDh6vPKYoquE6cUMVXeLj6XEYGTJhw9nOcAqqt7dwoWHu7+r/z+c5OsNkIcDgYrijc0dV1jqASZ4ocurfV6OzsxGazuUSY1WqluLiYnJwcVq9eTWVlJYqikJKSwrXXXktUVBR+7nW/JBdk+PDhpKSk4HA4yM3Npb6+HqvV6lXb0Pnza27uoKqqmt27t/HPf/6TkydPAjB27FhWrFjBsmXLGDp06CVHmBRFwc/Pj8zMTEaOHEldXR0jR47E4XBQVFREZWUl+/bt49ChQxQWFjJ16lRaW1tJSkoiJibG1auvr3FesJw4cYLs7Gw2bNjAu+++S1hYGMOGDWPChAncddddZGRk9OnsR2cdsfT0dFJTU5k0aRJxcXFERUVx6NAhTp06xVdffUVBQQGZmZnU1NTQ2dlJbGwsoaGhJCYmkpiYyJgxYzhw4ADffPMNJpOJyspK9u7dS3Z2Nvn5+VitVjIzM13b0dlDUm/pQ93OJOwJX63+3lP9hku5AcXAPmAv8MCZxxrOe019D+99AMgGspOSkvquOEVPaLQOVr9yqXWwHA4hurqEWLhQiGuvFeK//1sIq1UIm029HT0qxC9/KcSwYUKsWSNEZ6fn1u0MDodDFBcXi4kTJwo/Pz8RHBwsFixYIDo6OmQtp0ukqalJvPrqq8JkMgmTyST+8Y9/iLKyMmGz2YTdbv9W7SO94XCoN6tViC1bisQvf/ma8PPzE4qiiCFDhoibbrpJZGdnC5vN1sef6xB2u11kZ2eLP/zhD2LSpEnCZDIJRVGE2WwW0dHR4qGHHhK7du0SdXV1fb6tHQ6H6OrqEseOHRN33nmnGDp0qACE0WgUt912m1i9erVoa2vrk8/qLU1NTWL//v3iySefFPHx8SIgIEAoiiIMBoMYNWqUWLVqldiyZYvo6Og4Z3t0dXWJ4uJi8dRTT4lZs2aJ4OBgoSiKAMSwYcPEzTffLD7++GPR1tbm+t1KNICzPlZKitech7lAHay+EljxZ+5jgRxgTm8FlvttQAqNarQAmqYKjTrPQPv3C/Hww0JkZgoxbZoQ99wjxLJlQkyeLMTIkUKsWydEdfW5y/IQDodDtLa2io0bN4q4uDjh5+cnpk6dKioqKuTB9RJpbm4Wf//730VUVJSIj48X4eHhYtiwYWLp0qXi5ZdfFoWFhaK5udnTw7xsrFYhSkuFuOsuITIyrCIqap/IyMgSd9xxh/jkk09EbW2t6Orq6nMR6S4O2tvbRX19vVi3bp347ne/KzIyMoSiKMLf319ERkaKmTNnil//+tfixIkTwmq19snnl5SUiH/84x8iOTlZBAYGipCQEDFy5Ejx9ttvi+rqao8U4HVuj7a2NlFeXi7eeustcd9994nBgwcLo9EoAgICxKBBg8TUqVPFSy+9JMrKylzjtNlsrvft2LFDPPzwwyIuLk74+/sLs9ksgoODRXJysrjvvvvEu+++O6DrJbkIzvPw449r8nx8KVxIYPVJDFoIUX7mvlpRlI+AKUCVoiiDhRAViqIMBqr74rO8lX43NZrNcOedavovPPzc5/z81HpXTn+Woqg5lGHD1PdMnaqmCZ2PBwSodbEmTNBMP0JFUfD392fs2LFkZWWxf/9+qqur+eCDD/je975HYGCgp4eoecSZvNlnn33Gl19+SWtrKwaDgc7OTiorK2lubqa6upp169aRnJxMamoq48ePZ8yYMQQHB+uioGZpKRw4AO+8A9u3Q1ubibi4FO6++ylmzowmLW0Y4eHh/WI6d6apTCYTJpMJf39/Jk6c6DLG5+bm8uWXX1JYWEheXh51dXXk5eUxffp0JkyYQGZmJoMGDbqkzxRC0NzczGeffcbOnTvZuXMnFRUVjBgxghkzZrBgwQJmzZpFRESER0qYOBtpG41GYmJimDNnDmlpaSxatIgtW7bw9ddfU1FRwZEjR3j99df5+uuvyczMZPz48cyZM4egoCCio6MJDAzknnvuYcqUKRw8eJDc3Fy2bt1KRUUFGzZsoKOjgxEjRjBmzBjdlBzxmpmE3eEj5vcr3qMURQkGDEKI5jN/LwZWAWuAe4DnztyvvtLP6hM0aHKHATA1mkxqwVBFUWf7nf9caqrqy3KaQxVF/XviRBg5Uq2L1dCgiquICEhJObfcggYwGo1ERUUxe/ZsampqKCwsZN26dVx//fWYTCZdCABPIs4Yn7/66itXY+zJkyejKAqtra3U19e76jtFR0czfPhwVxXzuLg4IiMjiYqKcs0C08qJTAh1LkVREWRnw5Yt6uzx4GBIS1OYNCmMxYuvZswYMybTwP2eFUUhJiaGmJgYRowYQXp6Ov7+/uzZs4eysjKqq6tZs2YN5eXlnDhxglOnTrn8RRaL5aIzOzs7O2loaGDnzp18/PHH7Nu3jxMnTpCamsrixYtZuHAhc+bM0USFdKfQSkxMZMiQIYwbN47o6GgiIiI4cuQIx48f59ixYxw7dowjR464emUOHz7cVRNr/PjxpKenM2LECIYOHYrZbObLL7/kxIkT5ObmkpOTQ2ZmpmZ+lxfDa2YSXohVq1Q/VmOjulNq6JzcJ/QU2urtDRiGmhbMAQ4DT5x5PArYCBSeuY+82LJ8OUUo6RscDoc4fvy4uP/++4W/v78wmUxi06ZN4vTp054emqZxOByio6ND/P73vxcjRowQ/v7+YtiwYaKwsFA0NDSIo0ePivfee0/cfvvtIj4+XgQGBgqTyeTq/5iZmSluv/128frrr4vy8nLR0tIirFarsNlsZ1Jjnlkvu121CJaVCfH97wuRni6EoghhNgtx3XVCvPeeEGda5WmGY8eOiX/84x/itttuE8HBwa7tHBISIpYuXSpWr14tiouLRWdnp9v2VTewexqyrKxMvPvuuyIhIUH4+/uLwMBAkZKSIl577TVRW1vr4bXsHXa7XZSWlop3331XzJ07V0RERAiTySSMRqMIDg4Wd955p/jXv/4lSktLRWdnp8un1dXVJWpra0VKSorw8/MTiYmJ4oc//KHo1IBftLfotifhpaJzXzT97cHqq5sUWJK+wG63i3fffVfccMMNAhDLli0TGzdu9PSwNE19fb3Ytm2biIiIEEajUcycOVO8//77rhO43W4XXV1doqOjQ5SXl4v169eLZ599VsyePVsEBgYKg8EgjEaj8PPzEzExMWLx4sXi8ccfF+vXbxAdHV3CUza4EyeEePdddT5GQIB6GzpUiD/9SYjaWnUuhwYshOfg3Natra0iLy9P/PrXvxYzZswQAQEBLkGbnp4ubrvtNrF27dpzJnI4HA7R1tYmXn/9dXH99dcLf39/oSiKGDVqlPj5z38u8vPzhdVq1c0kBfffXnt7u9i8ebN46qmnxLRp01wG/aCgIJGcnCx+/OMfi6KiItHa2uoSWd///vdFSkqKSEtLE88++2yf+dkkfYjO/VgXEli+1zdEoylCr863DzAGg4FJkybR2trKunXr2L17N9nZ2SQlJZGamurp4WmO9vZ2Dh06xP/5P/+H5uZmpk2bxvLly5k1a5arTZGzGbTJZCI6OpqJEycybNgwFixYQHFxMUePHqWgoIADBw5w/PhxsrOzOXmygsLCal59dSYjRpgYMUK1XGRmfrtjUl8ihFqmbe1a2LpVvZ06pZZ+mzsXrr5atRWGhalZbq1hMBgwGAwYjUaSk5O5++67WbhwIceOHWPjxo1s2LCB8vJyGhoaKCwsZM2aNUyZMoURI0YQHh7On//8Z1c60Gg0ctddd3HttdeSmZlJYmKirpqdn//bGzt2LEOGDGHBggXk5OSwfv16Dh06RGVlJevWreMHP/jBOe9JTEwkKCiIzs5OOjo6PL06ku7wYj+WBg8v/YxG62D5RL59ABk8eDCjR49m9OjR7Nu3j3379pGSksLwM/W89HKC6U/EGVN7QUEBX3/9Ndu3byc0NJQ5c+Ywc+ZMYmNj6erqoq6uDn9/fyIiIgAwm81ERkYSGRnJ0KFDXTV7ioqKSE1NdRWP7OgwcOqUgYMHIT9fLZdWVKTWsx08WC3HFh3dt/MkOjtVq+COHaqlIztb/cyRI2HBApg/H2bOhKiovvm8/kRRFIKCgkhLSyMpKYmRI0cSGhpKaGgoRUVFlJWVcejQIaqqqigvL2f48OFERETw2Wef0draSkREBDNnzmTlypXMmjWL6Oho3f/uIyIiiIiIICUlxeVFGzp0KIWFhbS3txMYGHjOBAVnY+jW1lZaW1s9OPJLwycvuJ3FSFet8vRI+gzfE1hr16qFMteuhWef9fRoXHhd5V4PExAQQEJCAjfeeCN5eXls376d4OBgrrvuOq8qmHmldHZ2snbtWj7++GPq6+uZOXMmy5cvZ8qUKQghqKmpYc+ePcTGxpKVlYWfn985J2lFUQgPD2fChAlMmDCBm266idLSUnbv3s3hw9UcP55EXp6JoiJVZH3yiTqXYs4cdeLqtGkwerQaSTKZ1LaV50/gE0KtT6so6nPuX5/DoRrYna+rqVFnCT76qBq1AoiPh+9+V50QGx2tqXkZvcbf35/Bgwdz0003sXTpUnbs2MGmTZt4//33KS8v5/PPP8fhcGA0GhFCkJaWxsKFC3nooYcYOXKk7oXV+ZhMJlJSUvjud7/L8uXLqaiooKCggLi4uHP277CwMMxmMzabzdUXUg/45AW3M5K1Zo33VHvvKXfoiZv0YEn6EpvNJpqamsSYMWNEcHCwyMzMFP/+979FV1eXp4emCex2u/if//kfMXbsWOHn5ycGDRok8vLyXB6WpqYmccMNN4jo6Ggxa9Ys8corr1zUu+M0WdvtdmGz2UVXl13k5jrEyy8L8d3vqv4nRVFvBoMQfn5CDB8uxIMPCvHWW0IUFX3bE+VwCHH77UI88ogQ//73uc+Vlgrxl78I8cILaj3c73xHXSYIkZqqvufQIbU+rrO8m95x9yW1tLSIf/7zn+Lqq68WERERIiIiQixfvtxVnFPvRWF7g/tvzn1d7Xa7WLdunZg9e7aIiYkRK1euFB0dHR4cae/xGYN7d+jM9I70YLnhVMRPPnnu/xKvw2AwEBgYyJ133snbb79NSUkJr776KkuWLCEkJEQ307X7g5aWFgoKCvjb3/5GSUkJaWlp/OAHPyApKQl/f39KS0tZv349W7duxWq1kpKSwrRp0y66XGek5GxDbjU1GBMDCxeqfcYPHYJdu+DwYbUF5smT8NFHsHGj2s4yNVWNbI0bp6b2YmJg3z6161JJCUyZAklJqo+rvV3t2tTSopZ3E0KNUN14oxqxGj1ajWD1p+droHF6jBRFITAwkKuuuorKyko6OzvZvn07EyZMIDY29lvRRm/l/N+c++POXoZdXV00NDR4YHSXh9e1yrkUvKhvoe8JLNCs0R18NPfeTyiKgtFoZO7cuezdu9flWTl48CCZmZmEn19w1UewWq1UVFTw0UcfcezYMQYPHszUqVOZP38+gYGBNDY2cvjwYdauXcvp06eZPXs2kydPJtG9QXgvURQIClJvgwapKb1Bg1QP1tixqj/q6FEoK1PbXpaVqYKpqkoVX2PHwi23qGVyDAZVSH35Jdxzj5oqdDhUkdXerh6Lo6LU1113HUyfrqYE+6FmqCZwiqyYmBji4+OJjo7Gbrfj7++P0WhEURTsdjuHDh2iubmZ8PBwhg8fPmANpbWAxWJxpQibmpp0kyL0abzI9O6bAkvDZjqfzL33M5MnT2b8+PEcOXKEvLw8Pv/8cyIjIwkNDfWpKJbz5FJfX09ubi6vv/46DoeD6dOns2TJEjIyMhBCUFRUxNdff81nn31GcHAwN9xwA4sWLSIyMvKKx2AwqNGnpCRVHFmtajTrq69g/341qlVXB998A9u2qdGv+fPV12ZkQEIC/POfsHKlGu1yJytLjVbNn6/OVPQRDQFAYGAgwWcKCDc1NdF1xphms9lYs2YNxcXFjB49mttuu+2Sq8HrmdDQ0HMElp7w+YttLyhC6jtnF50wb9484uLipNm9D1EUheXLl3P77bdjt9t58cUXycnJ0dWsor5CCME777zD//7f/5vq6mqysrK45557uOGGGwBoaGjgj3/8I6+//jpGo5Hvf//7rFy5koyMjD4fi6KAv79qeH/6afjwQ3XW3xtvqBGq2bMhPR3S0tQo1MyZsGSJal7/8EM12uWOwaCKrszMPh+q5rFYLISFhSGEoK6uDqvVCqgC67PPPuP9999n8+bNVFRUeHikA0tUVBT+/v5YrVZOnz6tqwiW+8W2T7JihTrFuKTkrKVHZ/imwHJPEWqM9PR0HnzwQd+8YukHnGmU1NRUZs6cydSpU2ltbeXzzz9nw4YNnh7egPPGG2/wySefUFBQQHR0NL/97W+ZMGGCq+fgb37zG3bs2IEQgokTJ/KjH/2IQYMG9UtKSVHOvRmNanemuXPhiSfglVfg978/G4kym9UOTY88Aq+/rvqyztfI7svzJYKCgrBYLIAaoXRGsBRFcfUZdLbO8SUCAgIICAhwrX9bWxt2u93Tw+oVPV1s5+fn88orr5Cfn++ZgQ0kq1apZkynH2vNGk+P6JLwTYG1apV6pHaGHiVeT2BgIImJiSxfvhyDwcC+ffvYtWsXDQ0NurqqvVysViulpaV8+umnFBQUEBgYyMqVKxkzZgxhYWHU19ezfft2Nm/eTGNjI8OHD+eWW25hyJAhA1bWwimywsLUVOCwYepu6k54uBrx8vNTPVq5uQMyNM0TGBhIUFAQQohzUoROo7fRaKSrq4vm5mYPj3TgcBYbDQwMJCAgAIfDQUtLCzabzdND6xU9XWz3FNnySuG1YoVad2XtWs0GRS6EbwosHYQevXJn8TAxMTFcd911hIeHU1RUxN69ezl27JjXCyy73U5zczPffPMNmzdvpqGhgbS0NO655x6ioqIQQlBaWsqHH37I0aNHCQ0NZdq0adx2220erfrdXSQqKEj1Yk2YAIWF8PXXqo/L1znfg+UUEYqiEBoaislkwmq1+pTAcnK++NSLwOqJniJbXp1SdEayNOibvhC+KbBA81+YV+8sHiI4OJj09HRWrFhBTEwM+fn5vPjiizgcDk8Prd8QQtDS0sLBgwf5yU9+QkNDAwsWLOC+++5j5syZGI1GCgsL+fLLL3n55ZdxOBzcf//93HvvvcTGxmpytpnBoBYSbW+HDRvUmYhe/BX2ipCQEEJDQwE1Rej0YDlThGazmc7OTurr6z05TI/gvm3q6upc0T290lNky6v9uytWnJ2cpqOsk2/OIgTN18OSld37B6PRyMMPP8yJEyfYunUra9euZd++fWRkZLg8LN6Ew+FgzZo1vPnmm9TV1TFx4kRuvvlmrr32Wpch+rXXXmPNmjUYDAYeeOABli1bxsiRIz099AsSHw/XXqv+vW6dWsrBlwkODiY0NBQhBKdPn3YJLFDbxTg9SL4osCwWCxaLxfV717vA6omeamd5zWxEDZdX6gnfjWCBNLv7IIqikJyczKRJkxgxYgQNDQ2sXr2a2tpaTw+tX9iyZQtbtmzh8OHDWCwW7rjjDrKysrBYLDgcDt599112795NY2Mjqamp3HDDDa5io1pFUVTD+5Qp6szCkBDfM7WfT0BAAIGBgRgMBlpbW7FarTgcDpcHy5ki1Fupgr7A21KEl4rXZEN06J32bYGl8TShE+nH6jsURSEkJISpU6eSlZUFwOeff05ZWRnt7e0eHl3f4XA4aGxs5LPPPnMJqNGjR7NixQqGDRtGV1cXp06d4r333qOoqAiLxcLs2bOZOXOmq6mzlsjMVAuUms1qtXYh1Irv06fDjBlqXa2AAE+P0nOYzWYCAgJcqUCr1YrNZnN5sJwm95aWFq/3HJ6PU2ABPimwvCZ1qAPv9Pn4bopQR8jio33PokWLsFqtfPrpp+zfv59vvvmG0NBQxo0bp0nf0aUghKCjo4OtW7fy9ttvU1lZyfDhw3nuuedISEjAbDZTWlrKK6+8wvbt2wkICGDOnDmsWrUKf39/za2/oqjV20EVVg7H2RmHU6bABx94dnxawGAwYDabCQsLo6amhpaWFlpaWggNDXV5sJqbm32uTAOoHixnitC9hIWv4FVtd3TWRse3I1gaThG64zVXIBoiICCAzMxMfvCDH2AwGHjjjTdYs2YNdrtd91f4LS0t5OXl8fDDD1NdXc28efN4+OGHmTJlCmazmYKCAj799FNefPFFbDYb9957Lz/96U+JiYnx9NAvyqFDsGiRWsbhxRfVtjoSFT8/P6KiogBobm6mpaUFRVGIiorCZDLR0dFBXV2dh0c58Dg9WMA5RVh9Gd1mRXRWtsG3BZZOcrrSj9X3KIrC4MGDWbJkCYMGDaK6uprc3Fx2797t6aFdEXa7nf379/Pmm29SXl5Oamoq8+fPZ9GiRZjNZhobG1m/fj0ffPABbW1tXHPNNS7zq7N/nZbp6lJ7FlZVQUeHp0ejLYxGI2FhYSiKQltbG62tred4sLq6unzSgxUUFERwcDBCCBobG30uRdgduvdl6cTe49sCS4c5XUnfYbFYGDVqFOPGjQOgsLCQTZs26TqKVVZWxs6dO/niiy8AmDFjBtOmTWPEiBEIIcjJyWHbtm3s37+fiIgIrr32WsaMGeOKfGgdIcBZiNtgUG8SFZPJhMVicQksp6fQYrHIOlhnPFjNzc1SYOEFWRGdlG2QhyedKGEnug3tahBnlecHHniA+Ph4jh49yltvvUVzc7PuamMJIXA4HPzrX//i448/5vjx48THx/PjH/+YmTNnIoSgs7OT3//+92zduhWj0cisWbO49dZbSU5O9vTwLwnn+dFgUH1YEhWTyURERASKotDa2uqKYIWHh7sEVmNjI4BuLyAuB/cIVkNDg895sLrDK7IiOrD4SIGlEyXsRPehXY1hMplYtmwZs2fPJj4+npMnT/LSSy9RU1Pj6aFdElarldWrV/PGG2+wd+9e4uPj+fvf/86IESMICAigurqaVatWsXXrVqxWK1OnTuVPf/qTq/q3XnA41MrtQqjiSgqss5jNZlcksqmpyZUODAgIIDg42DXDUI8XEFdCaGioqxF2bW2tFFg9oLuLdx1YfKTAAl0oYSe6D+1qDEVRMJvNLF26lFmzZtHR0cEHH3ygq7INbW1tlJaW8uKLL1JeXk56ejq33noro0ePxt/fn/Lycnbu3MmHH35IR0cHCxYs4I477nBVate678od9xShFFjnYjKZCA0NdaUI29raXN9vcHAwgYGBriiOXhoe9wXOCBZAY2OjFFg9oLuLdx1YfKTAAl0oYSfnh3Z1d9WhUcaPH8/48eOJiooiLy+P3NxcysvLPT2si+JwOKioqGDr1q3s2LGDoKAgJk6cyNVXX01ERARdXV0cPnyYDRs2cPToUYYPH86cOXOYOXOmJksy9AYpsLqnO4HlJCgoyNXwuLm52acElnuhUacHy5dSpL1FlxfvGrf4SIEFulDCPaG7qw6NkpSUxPjx45k+fTqdnZ2sWbOGPXv2aP5E1N7ezu7du3n++edpb29n0qRJLF68mPnz5wNQUVHB559/zj/+8Q+MRiN33nknCxYsICUlxbMDv0yEONeDJU3uZzGZTISHhwO4PFhOLBaLy4dUX1+v+d91XxIUFOQyuTsjWFJgfRtd+rI0bvGRhycnGlfCPaHLqw6NMnHiRB599FH8/f1Zt24dq1evZvv27Zo+GP/lL3/h1VdfpaCggGHDhvHEE0+w4kzhPavVyi9+8Qvee+89hBAsWbKE++67j1GjRnl41JePEGqpBqcHyyRLJbtwerAURaG5ufmcGYNhYWGEhITgcDg4ffq0T82kM5lMBAYGYrFYsNlstLa26ib970l0kx3RsMVHHp6caLz5c094VZVeDxMcHExycjITJ04kNzeXLVu2UF5ezrRp04iNjSUoKAiz2exKq5nNZkwmE8YzeSqTyYTJZMJsNgPqLEWTyYSfn5/rM8xm8zl9/sxmM2az2bUMo9F4wWUoiuL6nK+//prPPvuM3NxcQkNDeeKJJ0hNTSUgIIDm5mb+9re/sXfvXjo6OsjIyOBXv/qVq06SXnGPYMkU4bk4I1iKotDS0nJOBCskJMSVJvM1D5bTZxkWFuaqcN/W1qa7CR4DjW46iKxaBQ8/fNbio6FztxRY7uiwW/f5eE3ndA9gMpkICwvjqquuoqSkhKqqKurr66mtrSUqKorAwMBzBJZT6BjO5KmcYst0JqziFEdOsQSqoHIXXM7nnctwvt99GUaj8VvvMZlMHDhwgPz8fMxmM5MmTWLevHmEhYVht9upra3ls88+o7a2lpEjR7Jo0SImTpyIn5+f7gWWrIPVPe51sNrb27v1YDkbHvvSLEI46087derUOTXCJD0zb94817lE06xYodlztxRY7uisz1F36OaqQ6P4+/tzxx13sGHDBlpbW+no6OD48eOUlJR8K1XY0/+9fd2V/h8aGkprayvTp0/njjvuICUlBUVRaGxspLKykv379+Pv78/ChQu5++67XT4UveJs8iwjWN3jvEAAvmVyd49gNTY2+lQEC87dNq2tredsG0n36Co74jx3a8ziIwWWOytWqLfx4zWphntDd1cdMqrVe4xGI2lpabz//vt89dVXrF+/ntjYWBITE7HZbHR2droETmdnJ1ar1eVn6erqoquri87OTkBtW9PV1XXO1XJnZ+e3/u/s7HSd8Lq6urBara5+ad0tw2q1nnOC8Pf3d5mbQRVeWVlZrF27luLiYkaNGsWIESP6eEt5BodDRrB6wt2D5V4HC9TfhK96sEDt0xgZGenaNr5Y0d6r0ajFRwqs7tCoGu4N3V11yKhW73Gmz6Kjo7n66quZNm3aOWk999SKw+FACHFO5MpZUf3817j/7/688/XnL+Niy7RarXzyySf861//Iicnhz/+8Y9MnjzZVbXbbDYzatQohg0bRmBgoK7Tgk7cxZXJpIorL1itPsNoNGKxWDCbzbS0tNDe3o7VasVsNmOxWAgKCsLhcPjcLEJQxaezyn1zc/M5/jTJxdHFRboG04RSYHWHRtXw5eLJqJYudsxuMJvNREdHEx0d7emhdIvNZsNut3PgwAFycnI4ePAg69at45prriEiIgKDwUBwcLBXGXkdDvUGampQiqtzcU6ACAoKorW11RXpDAsLIygoyFVotKmpyecEltODBUgP1mWgi4t0DZrdZYC9JzQ89fNS6a6+yUDVz3J+zgcffKD96b46wmg0MmfOHGbNmkVKSgr19fW8/vrrlJWVudKL3obDIRDCgZ+fncBAG0ajbxm1L4azaruzuXNXV5crFRYSEuISWL7owTKbzecUYZUC69LQRTkgDdazlAKrJ3RU3f1y6G6H6a7uSU+1UHr72nnz5mEymbDZbLIYaj/wgx/8gDvvvJPAwEC2bNnC+++/z4EDBzw9rH7BbrcTENBGVlYFEyZUEBHR4ekhaZKoqCj8/f2xWq3U1dUhhPB5D5bZbCYyMhKA5uZmWlpaPDwifaGbIqQaq2cpBVZPaFAN9yW9jWr1FOnq7WvT09O58cYbtX/1ozOc0Yrw8HDmzp3Lo48+CsDf//53Vq9ezalTpzRdIPVysNs7aGzczYEDCzl69Caam7/x9JA0h6IoREREYDab6erqor6+HlBN7s5K7nV1dV4ZwRJCUFZWxkcffcQ777xzjpfR3YPV1NQkBZZkQJAC60I41bCzbIMXRrLc6S6q1VNo+FJeq5urHx1iMplISEhg3rx5jB49moaGBnbt2sXatWvPOcF4Aw6Hna6uZtrbj9LVVYLDIY3K3eE0und1dblmEnbnwfKW34YQgra2Nvbu3curr77KP//5Tz7//HNycnJck0OkB8tH0Ji1R5rcL4QXlG24FLqbgdhTLZRLea2kf4mIiGD06NFcddVVvPPOO+Tl5fHhhx+ycuVKoqKiXFXi9Y77DEz3Aq+ScwkNDXV5sJqamhBCEBgYSEBAAAaDgdbWVlc/Pr3PLrXb7TQ1NVFWVsann37KK6+8Qnt7OyNGjKCoqIhRo0a5iveGhIS4qtw7mz4bjUbdb4OBRtMTlzRWAUAeoXqDl/uxJPonODiYp556ijFjxtDR0cGuXbt49dVXaWxs9JpIhcPhcKW2TCaTPDF2g6IoREZG4ufnd06K0GQyERAQQHBwMHa7nZaWFjo69Othc0Zn6+vreeedd/jP//xPfvvb37o6F1x99dUsXLgQk8nkEpLOjgoVFRWUlZVRW1t7zrIkvWOgJkhdFhpr/iwFVm/wcj/WQKCbxqE6xTl77NFHH2XFihU0Nzfz/PPPs2PHDqqrqz09vD7Bbre7zNlSYPWMU2BZrVaXwAK1IK3T6N3Y2Kjraubt7e2sW7eOW265hWeeeYY9e/YQGhrKM888w5/+9CceffRR16zBgoIC3nvvPR555BGMRiNNTU289957zJ07l5/+9Kds377dJbYkF0fzMwo1lCaUKcLeorHQo97QRR0VHeM0vY8ePZoZM2ZQUFDA7t27ef/99zGZTCxYsOCcnoh6xD1FaDQaZYqwG9zLNLS2trpShABhYWGMHDmSkJAQ/P39dRm16ezspLCwkD179vDhhx+Sk5ODn58fY8aMYcWKFSxdupSUlBTCwsLo6uriiy++YPPmzezdu5eSkhLi4uLw8/OjtbWVkpISvvjiC06dOkV6ejqjR49m5syZxMXF6X5f6U80bwVZtgwKCtR7DyMFVm9x+rHWrNFtn0JPopvGoTonLi6OCRMmcOLECXJyctiwYQPDhg0jIyODpKQkTw/vinBPEUrvTM84Te42m+2cljBxcXHMmjWLuro6oqOjXQ3F9YAQgtbWVo4dO8bWrVtZu3YtX375JXFxcYwZM4aZM2dy3333ERUVhc1mo66ujuLiYt577z22bt1KdXU1UVFRzJgxg9DQUOrq6jh8+DA1NTV88skn7Nmzh/Hjx2O32xk1ahTR0dGEhYVhsVg8veqSS2XtWujoUO+ffdajQ9HPHqYVNFiOXw9o/qrHi5g4cSIxMTF8+umn5Ofn8/nnn2MymfjVr34FoFthIlOEF8e9TMP5KcJx48Yxbtw4D47u0nFG2bq6ujhw4ABPPvkkubm51NXVERgYyP3338+1117LpEmTXO8pLy/n66+/5plnnqGoqAiDwUBaWhp33HEHP/vZz/D396e1tZUTJ07w2muv8fHHH3Pq1ClKS0tZvXo148ePZ9GiRSxZsoT58+ef8zuTvzkdoKFskxRYl4oGy/FLJO4YjUYGDRrEn/70J+655x727dtHfX09U6ZMYdasWfj7+3t6iJeF3W53RbDMZrNMEXaDEIKOjg5Xz8G9e/ee08dSb9jtdg4ePMjq1av585//TFNTE5GRkSxYsIBnnnmG9PR0Vzsou93OG2+8wfvvv8+uXbtoampi+PDh3H///SxcuJD09HTXbz84OJgRI0bwX//1X/zoRz9yRXvfeust8vLyKCgo4M033yQzM5M77riDmTNnkpaW5jUzcvsCzc4m1FCrOymwLpUVK2QUS6JpFEXBz8+PzMxMrrnmGr766isqKip49dVXSU9PJzY2VpceE5kivDjO4rPOOlg1NTU899xzXHvttQwbNoywsDBPD7FXOBwOKisrWbNmDbt27WLv3r00NDQwbdo0Zs2axdy5c0lPT8disdDR0UFxcTHvv/8+n3/+OYWFhQAsWLCAu+66i6ysLBISEggKCjrnM5ylG8xmM4GBgQwZMoSxY8fyzTffkJubS3FxMTk5ObS3t7Nt2zZGjRrFrFmzmDhpIn5mPwyKbwt8TftqNXKOlgLrcnCGIJ0FSKUfq9do9qrHyzAajURFRXH11VdTW1tLZWUlGzdu5MCBA2RlZTFo0CBPD/GSOd/kLgVW9wwaNIiYmBhX0+e3334bg8HAxIkTGTp0qEtsaDEaI4Sgvb2d6upqtm7dyvvvv09eXh7Nzc1MmDCBZcuWMW/ePCZPnozRaKS2tpaioiL27t3L22+/TXFxMTExMYwfP55rr72W66+/nqCgoAtGO/39/YmPj2fQoEFkZGQwaNAgEhIS2L9/P8XFxRw8eJCioiIOHTmELdhGx4gOBocMJsoYRZQpCgMGn/wtatpXq5E0oRRYl4OPFSDtSzR91eOFLF++nOrqakpLS9m1axd//vOf+c///E+uvvpq3aXYzq+DpbfxDwQGg4HMzEymTp1KZWUle/fu5ejRozz11FOkpKQwa9YsHnroIdLT013CQwvb0em1stvtlJaW8tFHH/HMM89gtVqxWCykp6fz/PPPM27cOFdK0Nnf9F//+hdffvklHR0dJCYmcs8993DdddcxYcKESxqDwWAgNDSUlStXsnz5curr61m9ejUvvfQSJSUlHC07yodHP+TV4ldZGLuQRZZFLA1bSoghBIMwoKD4lNCSvtpe4CyypoVbVlaW0BWrVwsxbpwQjz+u3q9e7ekRaZ4jR46Il19+WRw5csTTQ/EJHA6HqKqqEp988omwWCzCZDKJ+++/X2zcuNHTQ7tk8vLyxB//+EehKIqYO3eu+Oqrrzw9JM3S2dkpTpw4IT799FPxwx/+UCQnJws/Pz9hMplEYGCgmD59uvjVr34lvvrqK+FwODw9XOFwOERZWZl47LHHRFZWlvDz8xOKooilS5eKF198UVRXVwubzSYcDodoaWkReXl54uabbxaRkZHCaDSK0NBQcf3114vDhw+LpqYmYbPZrng8drtdWK1W0dDQIDZt2iSee+M5seybZcI/21+Y9pqEZb9FDD04VPxX+X+JvS17RbOtuY+2huSKGTdOCFDv+xkgW/SgaWQE60qQkaxLRl71DCxOT86oUaP4j//4D15//XU2b96MoiiMGTOGqKgoTUQweoOMYPUePz8/YmNjmTJlComJiSxYsIAjR46QnZ3N+vXryc/Pp6amhp07d7J27Vrmz59PZmYmSUlJA75dGxsbyc3N5aWXXuLAgQNUV1cTGhrKvffey4IFCxgxYgQREREYDAYOHjzItm3bWL9+Pbt27cJqtbo8Wddccw3JyckEBARccfrTWVfOWVds7NixJKQmMCtoFlkdWexo3UFBRwHlXeX8s+6fbGvZRpp/GpODJ3NN2DWEG8MxK/rzOXoNGpmMJgVWXyA9WRIN4zzZLl++nA0bNlBeXs7u3bvZvn07S5cuxWw2azq1IYRwtX2pq6vz9HB0g7+/PzExMcTExDBs2DBGjhxJYmIi/v7+FBcXU1FRwe7duzlx4gQNDQ2UlpaSkZHB0KFDGTJkSL+WwhBCYLPZOHHiBPn5+WzcuJF169ZhNptJSEhgwoQJrFy5klGjRhESEkJnZyeHDh1i3bp1bNq0iZ07d+Lv78/s2bNZuHAhc+fOPadUQ1/hFFmRkZFEREYwTAwjqD2IQeZB5Lbncqj9EMesx9jRuoMjHUc42XWSLtFFmn8a8eZ4BpsHE2wIvqTtKITAgYNGeyMCQaQx0jUWLaJJX61GJqMpQkPVfCdNmiSys7M9PYzLxxnJGjcODhzw9Gg0jSZ3Si9HCMGPf/xjvvzyS6qrq8nKyuLdd98lPDxcc4Znp6Hd4XBgs9k4ffo069atY926dXz88cdMnz6dp556ivnz5+uqYKancTgctLS08Nlnn/HFF1+wadMmKioqsNlshIeHM3z4cO68805uvvlmwsLCMJvNru3bVyd4IQR2u52amhr++c9/8umnn7Jlyxb8/f2ZPn06S5cu5d577yUyMhKHw0FHRwcVFRX8r//1v1izZg0NDQ2EhIQwZ84cVq1axfDhwz1SELTR3sjB9oO8VPMSu1p3Ud5Vjk3YUFCYa5nL/JD5LAtbxoiAEZgVMwYMrpmHQgjs2LELOw4cCAQKCkaMmBQTVmFld9tu7MLO7ODZGBXtTup45ZVXqKqqIi4ujgcffNDTwznLmjVnje79KLAURdkrhOhW3UuB1Zc4v9Bly9QqsjKS1SOa3Sm9GCEENTU1/Nd//Rf/+te/aGxs5Nlnn+X6669nxIgRnh7eOZSVlXHo0CH279/Ptm3b2LlzJ21tbSiKQlhYGPX19Xz/+9/n+uuvZ8GCBZ4erm5wHu8dDgednZ2cPn2ad999lzfeeIPS0lKam5sxGAwkJSWxaNEiFi1axPLlywkMDOyzE3xTUxM7d+7kZz/7GaWlpXR0dBASEsJvfvMbli9fztChQ12C/8iRI6xdu5bXXnuNY8eOYTabmT17Nrfccgv33HOPK8rmCfEhhECgCqXizmL2tu3l44aP+ajxI+zCjgEDgYZAFloW8r2o7zEuaBxJfmo3hQ5HB7tad7GtZRu7WnfR4mhhsHkwYwPHclvkbfgr/jxU9hAdjg7eHfYuQUqQZgWWZi+WpcA6F90LLCfOSFZKitokWgqtb6HZndKLcaZlNm3axKeffsqf//xnRowYwWOPPcbVV1/tkdINQggcDgdFRUUcO3aMo0ePsm/fPkpLS2loaKC5uZmGhgba2tqIj48nOjoas9nM7t27GTRoEFOmTOG+++5j8eLFmovCaR2Hw0FXVxfV1dWUlZVx+PBh9u3bx+eff05NTQ1hYWHExMQwdOhQli9fzowZM0hJSflWPane4Ezz7tixg02bNrF69WqOHj1KVFQUY8eO5a677mL69OnExMTg7+9PZ2cn77//Ph988AGHDx+moqKChIQE7r33XiZPnsyIESMYPHgwoI3UWbujnWZ7M1W2KnLac9jYvJEDbQfI68jDYrAQb45nevB0rg69muvCr+O5yufIbc+lzdHGXMtcgg3BlHeVU2urxagY+UXsL3j45MN0iA4+GPaBpgWWZhmgjNKFBJaMrfcHTk9WY6PHc8BaRZrdBx5FUTCbzWRmZtLY2MgXX3xBcXEx27ZtIyoqiqVLl2Iw9G9NH6fIq6uro66ujtraWk6cOEFhYSEnTpygpKSEw4cP09zcTHBwMBEREYwePZqkpCSSkpKIiopyzdApKChgz549REREMGjQIFJTU2XvuEvAYDDg7+9PYmIi8fHxDB48mMTERCIjI9m3bx8lJSWcOnWK4uJiurq6KCsrY+TIkaSmppKRkdHrWloOh4O2tjY2btzI5s2b2bFjBwcPHmTMmDFMnjyZ6dOnM3/+fGJiYmhtbaWoqIgDBw7w4YcfsmPHDux2O+np6SxbtowlS5aQnJxMaGjoAGyh3hNoCCTQEEi0KZpYUyyhhlDS/NM42H6Q/I58jnceJ9EvkXZHO6XWUra0bCHQEMj4oPHMCJ6BxWjhpPUkp7pOUWurRUGKqStGA7WwpMDqD9wbQ0vzu0RjDBkyhKysLJYsWcJrr73G+vXrMRgMzJo1q88rfTsjVDabDbvdTldXl2vWWF5eHvv27eOrr76isbFRndZsMmE2m4mLiyM1NZVRo0YxY8YM5s+fT3h4OH5+fjgcDiwWC2+++Sb79+/nzTffJC4ujttuu420tDTdtgLyJEajkaFDh5KSksLixYvZsmULn3/+Odu3b+fgwYNs2LCBTZs2kZCQwKJFi7j//vsZMmQIISEh+Pv7X1CY2+12Ghoa+MMf/sDhw4dpaWkhOjqa22+/nWXLlpGeno6iKHR0dFBSUsLmzZt55ZVXyM/PJzg4mHHjxrFixQp+/OMfa75FkkExEGeOY0X4ChY7FlNjq+Ht+rd5v/590vzTGBYwjN1tuzluPc6dkXfyo5gfEW2KBmBM4BgcwoENGw22Bs+uiKRPkCnCgUCa3y+ITBcOPHa7nebmZhYsWEBhYSFxcXHccccd/PrXv+7TNjpCCE6cOMH+/fvJzc1l586dbN68GavVisPhcHmChgwZQkZGBhMnTmThwoVMmTKF4ODgb1VsVxTF9Z7169ezevVqXn75ZQBuvvlmrr/+em699dY+G7+v4X4+EELQ1NTEgQMH+NOf/sTOnTupqKgA1Jmpc+fOZeHChVx//fWkpqb2KLCcIvu2227j+PHjDBo0iN/+9reMHTvWZaC32+28+uqr/PWvf+XgwYPYbDaSkpJ47LHHmDt3Lmlpaa7l6yVV5tyWAkGroxWTYqLd0c7/qf4/5Hfkc2vErdwSfss56+N8T42thgdOPKCLFKFmj98yRegjyDIOF0RWdx94DAYDISEhPPbYYzz//POuSNCSJUsYNWrUZUWynKm7oqIijhw5QkFBAbm5uRw6dIiWlhba2tpobW3FarUydOhQhg0bRmZmJtOnTyclJYWwsDCCgoIIDQ0lODj4W1ER5+yzzs5OAgMDmTZtGlFRUcTGxvLcc8+xYcMGqqqqqKio4Mc//rFsp3MZnC9mLRYLWVlZ/O53v6OoqOicaNbOnTvJy8vjnXfeYc6cOaxYsYL09HTi4+O/tVyDwcAvf/lLHA4HISEhJCcnYzKZaGpq4vDhw/z9739n/fr1VFdXExkZybRp0/jFL37B8OHDCQsL03TUqidcghCFIEMQCgqttFLZVUmYMazb8g3uFxB6QbPH72XLoKBAvfcQUmANBOcXJH344QGZ3aAXNN3TyktRFAWj0ciUKVOYOnUqdXV1HDt2jI8//piwsDCCg4MvWv7AKXhOnTpFdXU11dXVnDp1iqKiIk6cOMGpU6coKSlxnTSjo6PJzMxk2LBhpKSkMGTIEJKSkkhPTycqKuqikbNjx45x/PhxysrKuP7667FYLKSmprJkyRIOHz7M119/TX5+PkajkbS0NKZPn+4qUCm5PIxGIxaLBYvFQkREBIMHDyY2NpakpCQKCgo4ceIEeXl5dHZ20tjYSHp6OiNGjGDcuHEkJCTg5+fnEg0jR47EZDJhMpkwGo0cP36cXbt2sWPHDr766itqamoYO3YsEyZMYO7cuUyYMMGVftQ7RuWsV82IEauw6k5I9YRmj99r10JHh3r/7LMeGYIUWAOJNL93izS8ewZFUUhOTmb+/Pk0NzdTXFzMv/71L7KysoiNjSU6Ovqc1ztTPZ2dnVitVjo7O2lqamL37t0cPHiQw4cPs3v3burr6zEajfj5+eHv709KSorrO544ceI5fqre4IyM7d27l7Vr17J7925GjhxJeno6ERERTJo0iR/+8Ie0traye/duvv76a0JCQoiIiCAzM9MVjZPRrCsjMjKSyMhIRo8ezbx58/jiiy/4+uuv2bZtG6dOneKtt94iMjKSjIwM7rrrLubMmUNUVBQBAQEEBgYSHBzsmuTQ0NDg6iO4Z88e7HY7qampfOc732H+/PmMGzfO06vbLxgwEGYMo7izmHbRjhBC979LzR6/NWBy73WfQOCvQDVwyO2xSGA9UHjmPsLtuceAIqAAuLo3n6G7XoSXi7OH4erV5/4tkXgAm80mtmzZIiZNmiQURRFXX321ePXVV7t9XVVVlfjggw/Er3/9a7F06VIRHBwsFEURgOuWmJgoli1bJh577DHxySefiNbWVlcfOfdbb3E4HKK5uVk88cQTIiUlRQBi6NCh4q9//auorKx0vSYnJ0c8/fTTwmKxCEDMnDlT/OlPfxJtbW2a6LfnTTi/w7a2NlFSUiKefvppkZ6eLgIDA12/g/T0dPH9739ffPjhh67vv62tTeTk5Ijbb79d+Pv7C0DExMSIm2++WZSVlYmOjg6v/q4abY3ipeqXRObhTPGHqj+ITkfnt17jcDhElbVKXFd0nbi68GrRYm/x6m3SbwzQuZUL9CLstcldUZQ5QAvwphBi9JnHfgfUCSGeUxTlV2cE1i8VRRkFvA1MAeKBDcAIIYT9Qp/htSb3CyFrZn0LzZomvRQhBKdPnyY7O5tbbrkFgDlz5vDwww+TkpLCvn37OHLkCIcOHSI3N5e2tjY6Ojpct+HDh5Oens6oUaOYNGkSo0ePJjg4GH9/fwIDAwkKCrqiYpDOg9WpU6fYuXMnzzzzDEePHiUpKYl58+bx85//nOHDh2O1Wjl58iQ7d+7kJz/5CZ2dnQwdOpS5c+fy3//93wQFBXlFuklLOPtDNjY2UlFRQW5uLps3b+aDDz6go6MDf39/QkNDSU5OZvDgwdTW1lJeXk55eTkOh4MlS5awePFirrnmGmJjY/u1PY8WsAkbp7pOcdPxm4g1xbLQspDvR3+fQEMg7aKdJnsTtbZaoo3R/KDsB7owuWsWPZnchRBbFUVJOe/h64B5Z/5+A9gM/PLM4+8IITqBYkVRilDF1o5LGrkvINOG30KzpkkvRVEUQkNDGTt2LIsXL2br1q0cOnSIv/3tb4SFhVFWVkZlZSUVFRXU1taSlJTE0KFDiY+PZ+jQoa6T56BBg0hOTiYuLq5PhYxTnDkLiz7wwAO8+OKLVFdXs23bNkJDQ3nooYcYNGgQ8fHxzJgxg/vuu48PPviAyspKNm3axF//+lduvPFGYmJiep2alFwcg8GAwWAgOjoai8VCaGioq8RGbm4u+fn5FBcXc+DAAY4fP05rayudnZ1YLBZuvfVWZs+ezdixYxkyZIinV2VAMGAg1hTLTeE3UdBZwM7WndTaagk1htIpOjEpJob5DWN2yGxPD7XXaPaCWAMpwiv1YMUJISoAhBAViqLEnnl8CLDT7XUnzzz2LRRFeQB4ACApKekKh6NDZM2sb6FZ06QX42wIfcMNN3D8+HEOHz7Mxx9/jNVqJTAw0BWJGj16NFlZWWRkZDBq1CgmT55MWFjYgFRRdzYCvvvuu8nLy2Pz5s2UlZXx97//nXHjxjFz5kwGDx5McnIyDzzwAJWVlXzzzTccP36cV199leTkZCZOnMjgwYNl/8J+wN/fn+TkZJKSkpgzZw7btm1jy5YtbN26lZycHOrr6zEYDC7f3IMPPkhiYiIhISGeHvqAYVAMBCqBfCfiO3zR9AUbmjewpnENFqMFgSDaGE1kWCRGjCT6JdLp6MSAtqOu8oK4Zy6pDtaZCNanbinCBiFEuNvz9UKICEVRXgR2CCHeOvP4/wM+E0J8cKHl+2SK8Hzcw5ruCtxHxZZk4HAeC+666y6++uorbDYbDoeD6dOnM2nSJKZPn86cOXPw8/PzaKpNCIHVauWFF17go48+YufOnQQHB/PUU0+xdOlSMjMzURSFiooK3n33XZ5//nlKSkoYNmwY9957L/feey+xseq1oEy79C82m43y8nKeffZZV+HQsWPH8swzz8gyGoBDOGhztNEhOgg2BBNoCPT0kC4ZzUawNJAi7LXJ/czBN4VzTe4FwOAzfw8GCsRZg/tjbq/7Aph+seX7jMn9Qrgb88aNEwKESEnxaSP8kSNHxMsvvyyOHDni6aF4NQ6HQzQ1NYklS5YIPz8/ERcXJwoLC0VVVZVobGwU7e3tl2xQ769xOhwOUV9fLzZu3Ciuv/56YTKZRExMjLjlllvE1q1bhcPhcJnyN23aJNLT00VQUJBISEgQK1euFMXFxaKrq8uj6+ELOBwO0dXVJerq6kRVVZWoqakRDQ0NmvgdaQGHwyHsDruwOWxye/Q1jz8uRECAet+PcAGT+5Vehq4B7jnz9z3AarfHb1UUxV9RlKFAGrD7Cj/LN1ixQlXbK1aokSvndGVn/azx49V0og/hHoKW9B9CCI4fP05zczMBAQEkJCSQmJhITEwMoaGhBAQEXJFZva9wjiE0NJTRo0dz3333MWPGDBwOB7t27eLll19m3759dHR0uHoZ/uxnP2PUqFF0dXWRnZ3N//zP/1BUVERLS4tH18XbURQFk8lERESEq/RHWFiYJn5HWkBRFAyKAaMio3l9jnsdLA/Ra4GlKMrbqCb1kYqinFQU5V7gOeAqRVEKgavO/I8Q4jDwLpAHrAMeEheZQSjpBqfYeuGFc4XWk0+qIstHxNa8efOIi4uTnqx+xuFwuERHcHAww4YNc83qslqtNDc309XVpZkCiQaDgZiYGBYtWsTy5ctJTU2lqamJTz/9lHXr1lFcXExHRweRkZHccsstLFy4kJSUFJqbm3n77bfZvHkzxcXFtLW1eXpVJBJJX+MMUOihDtZA3GSK8CLI9KELmTbse6xWq3jyySfFsGHDxKhRo8Rvf/tbYbfbhcPhECdPnhTbtm0TVVVVoqurS1PpDGe66f/9v/8nrr32WqEoijAYDOKXv/yl2Lp1q7Db7UIIIVpbW8Vf//pXMWPGDAGIsLAw8Ytf/ELk5OTIlJVEchlo9jg8gPUl6ccUoWQguVD60MeiWjJt2Pc4HA727NlDQ0MD0dHRZGVlAdDZ2cmaNWtYuXIlo0eP5tChQ9hsNg+P9tvcfvvtPPnkk/z85z9HCMH//b//l1WrVvHGG28ghCAwMJBbbrmFV155hWuuuYauri7+8pe/8MMf/pCvv/5ak+skkWgZzR6Hn3zy7HnRg0iBpVfOTx86Zxz6iNiSacO+RQhBV1cXhYWFtLW1ERoaSlpaGoqicOrUKU6ePElTUxMWiwV/f/8BKcvQW5x+noCAAFJTU7nlllu45557sFgs5Obm8sYbb/Duu+/S1NREYGAgKSkpPPLII8yfP5/Q0FCOHDnC7373O/bu3UtdXZ2nV0ci0Q2aPQ5rIT2I7EWof5x1tJw4yzo4xZZ7Y2n353Ve9qG7/leanS6sA7q6umhsbKS6utpVq2jw4MEAlJWVuR4fNmwYgYGBmq2IHh4eztixY7nxxhupqanhwIED7Nmzh7i4OAYPHkxGRgbR0dHMmzePo0ePApCdnc2GDRuYMGECNpuNUaNGERkZ6eE1kUi0j2b7EGoEbR4lJZfHxVKIXh7h0my4Wge0trZy9OhROjo6iI2NJT4+HovFgqIoHDt2jPLycsxmM2PGjCEgIMDTw70gfn5+LF++nJ/85Cdcc801CCF49913+fOf/8y2bdvo6urCYDDwwAMPcM899zB79my6urp47rnn+Oc//8nevXux2+2aMfNLJJJLRKYIJf1KdylE97Cpe4TLS4RWd+Hq/Px8XnnlFfLz8wdsHJ74zCulvr6e3bt343A4SE9PJzU11fXc4cOHKSkpwWw2M3XqVAID9VEM0dmn8IUXXsDf35+PP/6YZ599lqeffhq73Y7BYGDlypU899xz/OhHP8JoNPLXv/6VRx99lH/+85/SkyWR6JE1a9TWcykpMkUo6WfOTyGen070oh6I3YWrPdHGobvP1Hr6sqWlhby8PIQQJCcnk5CQgBACh8NBSUkJlZWVmM1mMjMz8ff39/Rwe4XJZCIhIYGFCxfy9NNP8/LLL1NSUsLq1asJCAjgBz/4AZGRkcTHx3P//ffT0dHBxo0bOXbsmEuUzZ49m/j4eE+vikSiKTR9PHvySSgpUYMJHj6nyQiWr+Ie4UpJUYWWF0SxzqcnE2ZPUaa+ePz8z8zPz+eDDz7QbPpSCEFraytFRUUIIRgyZAiDBg1CCEFDQwM1NTV0dHRgsViIj4/HbDZ7esi9JigoiMTERK699loWLVrEoEGDKCsrY82aNWzatIkTJ05gNpsZNWoUK1asYPbs2QwaNIicnBw+/vhjdu7cSWlpqadXQyLRFJq2Y2jE4A5SYElWrICwMFXxezhf3R+kp6fz4IMPXjCy1dePn/+ZmzdvxmazYTKZtDfbBrU8Q1NTk8v0nZyczJAhQ3A4HBQXF9PY2Iifnx9DhgwhIiJCUzMIe4Mz8vbzn/+cFStWEBISwr59+/j973/Pxo0baWxsRAjB0qVL+e53v8v111+Pv78/77zzDn//+99Zv3497e3t7i3DJBKfRrOzBzWGFFgSTSn+gaKnA0RfPd7da2688UbthdOBqqoqSkpKOH36NLGxsSQmJhIdHY3NZmPXrl00NzcTFxfHhAkTPD3UKyI9PZ2f/OQnvP766wwePJj9+/fz7LPP8tOf/pT6+nqEEMyaNYuHH36YP/3pT4SEhPDZZ5/xX//1Xzz00ENYrVZPr4JEogl6unDVBBoxuAOykrvEjQGsfivRDtu3bxe/+tWvhMFgEFdddZXYs2ePEEKIlpYW8f3vf1/ExsaKmTNnildeeUX31c6tVquorq4WH374oRg9erSIjIwUCQkJ4o477hAlJSWivb1ddHZ2ivLycvG73/1OjB49WgQGBorBgweL+++/XxQUFHh6FSQSyYUY4PMYspK7pFdoSfnrHD3NJKyoqODUqVMoikJaWhrBwcEA2O12CgsL6ejoIDw8nGHDhnl4pFeO2WwmIiKC2bNnc+ONN5KRkUF7ezubN2/mgw8+ID8/H5vNRlxcHIsXL2bmzJkkJCRQWVnJxo0bqaurk2lCiUSrrFmjqVqPUmBJzrJqlVcb3gcSTZtAz6O8vJyysjIMBgPp6ekEBwfjcDjo6uri6NGjdHZ2EhERcU7pBj1jMpmIiorioYce4tprryUpKYmqqir++Mc/sm3bNk6fPo3BYGDcuHEsXryYqVOnIoTgxIkTLi+WROKLaP7CUWNBAimwJGfxcsP7QKInE2hRUREFBQUYDAYmTZpEeHg4bW1tlJWVUVFRQUBAAPHx8SQnJ3t6qH2GoihER0fzwx/+kP/7f/8vY8aMobq6msLCwnNmDQ4aNIhBgwYBqjAzGo0oiuKpYUskHkXzF47LlkFAgHqvAaTAkpyL0/C+bJnXFCD1BJo2gZ5BCEFdXR3l5eXU19cTEhJCWloaQUFB1NXVkZubixCCESNGkJiY6HXCQlEUgoKCGDt2LK+++ip/+MMfuPvuuxk/frzrNbW1tdTW1mIymbj22muJjo72uu0gkfQWzV84rl0LHR3qvQaQhUYl5+IsTDp+vNcUIJX0zIkTJ2hsbMRoNJKQkEBwcDBGo5Hm5mZXXaykpCRiY2O9UlgYjUZCQkLIzMwkODiYQYMGERIS4nq+qqqKqqoqDAYDY8aMcfnTJBJfRPO9B51dSjQyI15GsCTdI/1YXo8QgqNHj9LU1ERwcDBpaWmuFFhTUxOFhYWAWhcrLi7Ow6PtPwwGA4GBgWRkZBAREQGcnV196tQpTp065fKnBQUFeXi0EomkWzRmcAcpsCQ9If1Yl4zmDaDnIYRg//791NXVERYWxsSJE11RqtOnT3PgwAGEEKSnp5OUlOTh0XqGY8eOcfz4cYxGI1lZWVgsFk8PSSIZUHRzXNOYwR2kwJJcCOnHuiQ0bwDthgMHDpwjsAwGA62trVRXV1NcXIy/vz/Dhw9n8ODBnh7qgFNUVERVVRUOh4P4+HgGDx6Mn5+fp4clkQwoujmuabBgthRYkp5x9itcu1ZzVwZaRPMGUDccDgednZ2UlJTQ1taGxWIhNTUVRVGorKyksrISm81GUlISYWFhPicshBAUFRXR3NxMYGAgw4cPx2QyYTDIQ6bEt9DFcU2D6UGQJndJb3AaB52RLI39iLWC5g2gbtjtdhobG6mqqgIgPDycIUOGoCgKJ0+epKKiAoPBQGpqKkFBQT4nLIQQFBYW0tLSgsViIS0tzStN/hLJxdDFcc09Paihc5NvHTUll4eMZHkdra2t5ObmYrVaiY+PJyUlhYCAABRF4dixY5SUlGA0GpkwYYJPzpxzOBzk5ubS0NBAeHg4Y8eOlQJLItEia9aok7FSUjSVHgQpsCSXgvRkdYtuTKBuNDc3s3v3bux2O8OHD2fEiBGu5woKCjh27Bgmk4lJkyadU7bAVxBCkJ2dTX19PREREWRlZUmBJfEJdHc8e/JJdTJWWJimolcgBZbkUpCRrG7RjQnUjfb2dvLz87Hb7cTHx5OQkIAQgq6uLk6dOkV1dTVGo5GRI0cSGBjo6eEOKF1dXTQ0NFBZWYkQgvDwcJKSkqTAkvgEujueadDc7kQKLMmlIyNZ56ALE6gbQgja29spKirC4XAwePBghgwZAkBTUxM1NTW0trYSEhLCkCFDfM7gbrVaqaiooKmpiaCgIKKjo131sSQSb0dXxzONmtudSJO75NKR1d7PQRcmUDccDgfNzc3k5eXhcDhISkoiJSUFh8PBkSNHaGhoICAggGHDhhESEoLRaPT0kAeU5uZmcnJycDgcpKSkkJKS4nMmf4nvoqvjmUbN7U7kUUNy+chIli4pLy+nqKiI1tZWUlJSiI+PJywsDIfDwe7du2loaCA6OppJkyZ5eqgeoampiT179uBwOEhLSyMtLc3TQ7oidOep6WfO3x6+vH10ve4aNrc7kQJLcvmc78l6+GEptHRARUUFxcXFAIwcOZKwsDAMBgNCCI4cOUJLSwthYWGMHDnSJ31Hra2tHDlyBIfDQWJiIomJiZ4e0iVx/klTd56afub87eHL20fX665hc7sTKbAkV44zkgU+Z37X4xVgdXU1ZWVlAAwfPhyLxYIQAofDwbFjx2hrayM0NNRVeNSXsNvttLa2ugTo4MGDGTRokIdHdWmcf9LUladmADh/e/jy9tHtuusgegXSgyXpC5yeLKfh0IcKkrqfzPTiWygvL+f48eMoisKoUaMIDw8HVHGRn59Pa2sr4eHhulmfvqSzs5O6ujpKS0sxmUwMGTJEd22C5s2bx+bNm10nTV15agaA87eHL28f3a67M3o1bpymzzEygiXpO3ywjIMerwCLi4vJy8tDURQmTZpEVFQULS0t5OfnU1dXR3h4OAkJCcTHx3t6qANOcXEx+fn5OBwOxo4dS2xsrO5mUaanp/Pggw9e8MSpx8jr5XI56+qN28er1knDpRnckQJL0ve4//jXrPFqX1ZvTmZaQQhBVVUV1dXVLp9VQkICQUFB58wqTElJITExEUVRfC5FePLkSUpKSlAUhczMTEJDQ71yG+jae3OJXM66euP28Yp1cp5PQL2Y13D0CqTAkvQHzkjWihVnp9FKA7wmyM/Pp6qqCiEEcXFxBAcHu8owCCEYNmwYo0aNIiEhwcMj9QxVVVWcPHkSRVFITU312ir2eoy8Xi6Xs67euH28Yp3cyzLoAOnBkvQvzkbRjY1nhZaGC8N5O1u3buXkyZMEBASQkpKC0WhEURQCAwMZNmwYy5YtY9SoUaSmpnp6qAOKEAKAU6dOuSJY6enpWCwWD4+s9+Tn57u8VxeLqOrWe3MZXM669vSeS9nGnqS7cer+O9eJsd0dGcGS9C/OaNYLL3jdTEM9eho2bdpEWVmZa7acU1iEh4czc+ZMfve73/Ef//EfPlkDy2azUVxcTGFhIQaDgYkTJ+qqgvuVpID0+Fvujv5eD72k2fQyzktCB2UZzkcKLMnAcL7Q8gJ/lh4PYmPHjiUmJoa2tjYOHTrEwYMHaWhocPmtjEYjBoPBK31HF6OoqIja2loMBgMpKSlERkZiNps9PaxecyUpID3+lrujv9ejp23sKYHa0+d6RTrQHR1Gr0AKLMlA40X+LD0exObMmUNqair+/v40Njby3nvvsW/fPmpqajw9NI9TXFxMY2Mj/v7+DB06FD8/P121yLmSCRfd/Za1HtXqbnz9vU/2tI09JVB7+lw9Tb7pFTqMXoEUWBJPcn6BUp0JLT0exJYsWcL06dMZNmwYfn5+/OUvf+GTTz7h4MGDdHR0uFKGvoYQgqNHj9LQ0EBQUBDp6em6EldXSne/Za1Htbobn6f2yf6ObPlMpKondFKW4Xx85wgi0R4X8mfpPH2oRZxm9l/96le899573Hrrrdjtdv785z/z2GOP8fnnn+NwODw9TI+xf/9+amtrCQ0NZdKkSboQWP0ZZdL6yVtL47vUyFZP31tPj/tMpOp8dFaW4Xy0fwSReD/d+bN0kj7UehrlfBRFcXmMnnrqKb773e+SmJjIoUOH+OUvf8kHH3xAVVWVp4c5oAghEEJw8OBB6urqsFgsjB8/XhcCqz+jTD2dvD3xm+/uM/UgLnoSgT19bz09riUxOaDorCzD+Wj/CCLxHdz9WTrpb6j1NEp3KIqCv78/iYmJ3HTTTVx99dWkpqZSXFzM22+/zebNmzl27Jinhzlg2O126urqqKmpQQhBWFgY8fHxuhBYnjjxdveb7+9UmB73M+hZBPb0vfX0uB7EZJ+jU2O7O7IOlkSbnN/fUKM72Pl93/SCc9bgVVddhaIoBAUFUV5ezurVq/H398dqtRIeHk5kZKTXzyi0Wq2UlZXR0tJCYGAgMTExREZGenpYvcITtY26+8331JOzp7pRPT3e03L0up/1RE/fm+5rVfUlOuk3eCGkwJJoG6fQ0ijecEBctGgRqampJCQk8Ktf/Yp///vfHDx4kOPHj/Ob3/zG9TpvFVqtra3s3bsXm81GWloaI0eO9PSQNE13v/meBFBPgulShZQ37GeSXuK8qF62TP1foxfXvUEKLIk+cI9kaVhw6ZUhQ4Zwzz33YDQa+ctf/sKxY8d4+eWXsdvt3HfffSQmJnp6iP1GW1ubS2ClpKQwYsQITw9Jd/QkgHoSTFJISXrE6bsC1TKiY6TAkugDd7OjFFh9jtlsJjw8nKuuuoqGhgY2bdrEjh07+OSTTwgLC2POnDlkZWXpsgG008ReWVlJUFAQ4eHh5zzf0dFBfn4+NpuNwYMHk5SU5JmBXgJ6adkiU2GSXuNFkSsnUmBJ9MGyZVBQcHbn0wh6OdH1BoPBQEZGBitXriQwMJDKykpyc3P58MMP6erqIioqipSUFEDb6UKnoGpra6O9vZ3W1lYaGxvJz89n2LBhjB07Fn9/fwBXy6Djx48DEBcXx5AhQzw5/F7RU4pNItEtXhS5ciIFlkQfrF0LHR3q/bPPeno0LrzxRDd27FhiY2MZOXIkd999Nzt37qSiooKCggJeeukllzjRisg6vziqU1xlZ2eTm5tLdnY269evp7a2lvvuu4+f//znDB8+HFDTgzU1NZSVlREcHMyQIUNISEjwxGpcEt5m+pb4MF4YuXIiBZZEHzhrY2ls5/PWE11MTAwLFy7k3Xff5de//jVHjhzhww8/pLGxkf/+7/92tZLRAkIITp06xd69ezl48CD79+9n9+7dtLe3Y7VasdlsWK1WhgwZQkBAAHV1dS6BVVpayuHDhwEYP348sbGxuijPIFNsEq/BCyNXTqTAkugDp+/KWQ9LIz4sbz3RGY1GAgMDmTBhAg8++CDr1q1j/fr17Ny5k1dffZWlS5cya9YsAgICBnxsTj9VUVERpaWlHD9+nPz8fCorKzl9+jQ1NTXU1NQQExNDSkoKKSkpjBs3jmHDhpGamkpycrJrWcXFxRw4c1BPTU0lLCxMM5E5icTr8YJaVxdCCiyJfpBG9wHFYDAQExPDkiVLUBSFmpoaduzYwdq1azGZTISFhTFu3DjMZnO/iRIhBA6Hg+bmZlpaWmhpaaGhoYHCwkIOHTpEQUEBeXl5FBcXExQURHBwMBaLhaFDh7pu6enpzJw5k/j4ePz8/BBCYLPZqKys5NChQxw+fBhFUYiLiyMwMLBf1kMikXSDF9S6uhBSYEn0g0bThN5OfHw8K1euZOTIkdx5550UFxfz5ptvkpeXx6uvvkpMTAxGo7FPRJbTT+U0qtvtdjo6Oti3bx979+5l3759bN26lcrKSoQQrlmNwcHBjBs3jjFjxjBlyhSuvvpqIiMjXYLKuUy73Y7dbqe5uZm3336bTz75xBXBCg4Oxmw2X/E6DBTeNMFC4mN4se/KHSmwJJI+wNtPduHh4WRlZbF27Vp+9KMfkZOTw8aNG1m+fDmvv/46qampWCyWK/4ch8NBfX09X3/9NTk5OeTm5rJ9+3aam5ux2WwugRQfH8/YsWMZPXo0kydPZu7cuQQGBmIymTAajZhMJpfgs9vtlJeXs3PnTnJycsjJyWHnzp20trbS1dWFoiiEhoZyww03MHTo0Cteh4HCGydYSHwEL/ZduSMFlkQ/aDhF6O0nO0VRMJvNJCcn88gjj7B69WrWrVtHYWEh//3f/83NN9/M/PnziY6OvqTlOsXPkSNHOH78OMXFxeTn51NdXU1DQwMNDQ2cPn2a+Ph4hg4dSkpKChkZGaSnpxMZGUl4eDhRUVFERkZiNBpdyzx27BhHjhyhuLiY48ePU1RURG1trWuZTU1NDBkyhJCQEOLj47n22mtJSEjwiKfscvHWCRYSL8ZHIldOpMCS6IdVq+Dhh1VT5Jo1mhJZvnCyMxgMBAUFMXv2bKxWK+3t7axdu5bNmzcTEhKC2Wxm/vz5WCyWbmfiOVN09fX11NXV0djYSF1dHceOHePQoUMcP37cJbLCwsIIDQ1l0KBBjB07lhEjRpCamsqwYcPIyMhg6NChrs9wLrO+vp6GhgZqa2vJy8vj8OHDrmVWVFQQHh5OWFgYCQkJZGVlkZaWRmhoKIMHD2bZsmVYLBaXSNMD3jrBQuLF+Ejkyolyfg0ZTzJp0iSRnZ3t6WFItMz48eoOOm6cT+ygWqWjo4Pjx4/zox/9iF27dmE0Ghk9ejR//OMfGT9+PH5+ft/yZNlsNtra2ti2bRs7duzgwIED7Nu3j8rKSgwGAwaDAaPRSHBwMOPHj2fcuHGMHz+eRYsWERsbi9FodPmpnKlCm81Ga2sre/bsYdeuXezfv589e/ZQXV3tWqbJZCIkJIRJkyYxduxYJkyYwPz584mKitKVoJJIdIt75GrtWq9qeaYoyl4hxKRun5MCS6IrZE9CTeCc3dfU1MQPf/hDtm/fTnl5OVFRUbzxxhtMmDCB2NjYc95TW1vL3r17uf7667FarS6xFBUVxbRp0xg3bhwTJkxg7ty5BAcHYzQaXSIJ1DRlV1cXdXV1bN68mT179pCbm8vevXtpbm7G4XC4lpmQkMDkyZMZN24cEydOZPbs2fj7+7uW575MveLtvj+JF+HFF8YXElgyRSiR9CG+ctJTFAWDwYDFYuHRRx/lgw8+4LPPPuPgwYM8/fTT3H333SxcuPCcxskWi4WMjAxGjRpFUlISQ4cOZcSIEYwcOZLw8HAsFguhoaGEhYW5ZiVarVbKysrYt28fBQUFHD9+nMLCQk6fPk1jY6OrdENycjIZGRkMHz6c9PR0MjIyzllmSEiILvsoXghv9/1JvAAf81ydjxRYEn2hYaM7+NZJT1EUjEYjY8aMoampCYCmpiZycnL4/PPPsdvtBAQEkJCQgMFgwM/Pj5iYGG655RZXS5qhQ4eSmJgI4KpPVVNTQ0VFhatoaGlpKYcOHaK4uJiTJ09SUVFBbGws0dHRDB8+nNjYWJdHKzk52bVMbxNU5+MLvj+JTnEKq8ZGtc4VeF3kqjf0WmApivJXYDlQLYQYfeaxp4H7gZozL3tcCPHZmeceA+4F7MB/CiG+6MNxS3wVjTZ9duJrJz1FUTCZTMyePZvk5GQaGxv5xz/+wZdffklpaSnh4eFcf/31BAQEuKrDP/roo8DZWlfOdjadnZ00NTWxb98+tm3bxr59+8jPz6empgaz2YzRaMTPz4/Y2FhmzJhBVlYWY8aMISsri7i4OK8WU90hTe4SzeK8EE5JUdOCPha5ctJrD5aiKHOAFuDN8wRWixDi9+e9dhTwNjAFiAc2ACOEEPYLfYb0YEkuihfn8vWMu/n8qaee4uOPP+bIkSP4+/vz/PPPs2TJknNa1IBqlK+rq2P79u1s3bqVffv2cfDgQVpaWlziy2QyERERwbx585g0aRLjx49n2rRpBAcHfytC5WsCSyLRFO7+WPAZr2yfeLCEEFsVRUnp5cuvA94RQnQCxYqiFKGKrR29/TyJ5Bx8PJevdRRFQQiB0WjkBz/4AYmJiaxbt441a9bw3HPPcerUKWbPns3IkSPZsWMHubm5FBUVcezYMRobG2lqaqKtrQ2r1UpycjKTJk0iPT2dtLQ0Ro0aRVhYGMHBwa52OAaDQQoqiURLuNs3DhzwemHVG/rCg/UjRVHuBrKBnwkh6oEhwE6315w889i3UBTlAeABgKSkpD4YjsQr0Wn9FF8xvcPZCFJCQgKzZ8/GYDBQU1PDrl272LBhAydPnmTIkCGuoqJVVVWcPn2aQYMGkZqaSkxMDLGxsSQnJzNixAgSExNdXi335Ut863cl0Tjy4rdHrlRgvQz8FyDO3P8P8D2guyNht7lIIcSrwKugpgivcDwSb0WnfQh9yfTuTmZmJuHh4dhsNvLy8sjOzmb37t04HA4CAwPx8/MjICCA5ORkpk2bxrRp0xg9ejQjR44kJiZGiqmL4Ku/K4mGkEb2i3JFAksIUeX8W1GU14BPz/x7Ekh0e2kCUH4lnyXxYXRc+8rXTO/uxMfHc//997Nr1y6+/vprqqqqMJvNLFu2jJkzZ7qaM4eEhJzzPimuLo4v/64kHuZ8YeXjRvYLcUmFRs94sD51M7kPFkJUnPn7p8BUIcStiqJkAv/irMl9I5AmTe6Sy0Ia23VLV1cX//Ef/8HmzZuJiIjg7rvv5tZbbyU4OJiAgAACAgK8vpyCROJVOI/HKSkQFqbLC9++5EIm9283DOt5IW+jmtRHKopyUlGUe4HfKYpyUFGUXGA+8FMAIcRh4F0gD1gHPHQxcSWRfIs1a9SdedkyeYWkU4QQnDx5kra2NsLDw5k8eTJDhgwhMjKSoKAgaVaXSPSA81i8Zo16HB43Dl54QZrZL8KlzCK8rZuH/98FXv8s8OzlDEoiAXRrbO8JXzMmOxwOrFYrJSUldHR0EBoayvDhw6Wgkkj0wvnpQDlD8JLodQRLIhlQ1qxRd+qUFK+JXLkbk32Bjo4OSktLqa6uxs/Pj7i4OFeFdcnlkZ+fzyuvvEJ+fr6nhyLxZpwRq4cfPnuRK7MIl4wUWBJt8uST6hVTWJjXXC3NmzePuLg4nzEmNzU1kZ2djcPhIC0tjdTUVE8PSff4mkiXDCDuaUD37IFMB142shehRFt4cU0VX2tt0tbWRkFBAQ6Hg4SEBFc9K8nlI2cPSvqc7tKA7mVxpKi6bGQES6ItnFdOa9fKKyad09bWRmFhIQ6Hg/j4eOLj4z09JN2Tnp7Ogw8+6FNCvd9xj9y4/+3NXCha5RRV8vh7xUiBJdEWzhkqXhS58kXfjBCC5uZmcnJycDgcDB06lJSUFE8PSyI5y/k+oyefPCs2Hn7Y+4RWd6LKGaWSacB+QQosiXbQcUHRC+GLvpnW1laqq6spLi4mICCAoUOHylZYV4AvivR+4WKRG6fYgLMCRO9Rre6EpPuFrIxW9RtSYEm0g/tVlRfha+Z2gMrKSk6cOIHdbmf48OGEh4djMknL5+XiiyK9T7mQyHCP3DjFxgsvnBUg3UW1tCq6nON64gmZAtQCQgjN3LKysoTEB1m9Wohx44R4/HH1fvVqT4/osjly5Ih4+eWXxZEjRzw9FI+ybds28Ytf/EIYDAZx3XXXiV27dnl6SLpG/q4uA+dxxXkPQqSkXPoxxvn+lBR1GePGnV2e+/IH8vjlvm7drWdAwLfHp+PjqpYBskUPmsbjosr9JgWWj+J+sNI5L7/8snj66afFyy+/7OmheJS3335b3HTTTcJoNIrHH39cCgNJ/9Kd4HAXRH0hMi5X1HQnwHpaVm9fqyWx5+NIgSXRLqtXqweLlBSvOBjISIPKM888I0aNGiVMJpP46KOPRGVlpaeHJPE2uhM57oLjcqJVVzIOd1HT3XjcBVh3z1/Ka93XTUaoPIoUWBLtouPolRRT38bhcIjOzk7x0EMPifDwcOHv7y/y8vJEa2vr/2/v3mPjLK88jv9OQi4QQgiNMbmBsyHBJIWYYCIKFdBuobSWkvYPVPpH1b1IEKmVgtStNi1tllqidFdbtvzVqKtWRRXdCG1p6zYtu5S26q60XEyaG8QJ4RKSEJI0KbmQOuDk7B/PvPGbYWbscWbmvX0/kuXx67H9zOPXnjPnOe95kh5a5nB+xdSToUpDwNHsDBbBVGrUCrAsfD4duru7vb+/P+lhoJUyfOXg2rVrtX//frW3t2vlypVJDycV3F0n33pL3/361/XUL3+pwalT9Z/PPKNpF1+s8ePHJz28TMnU+RVvELx+ff1/z/H/A9L7v1dUqB2/wq+jI+z0kMH/HcgPM3vB3bsrfY7LepCcDAdXEl21qxm/c6f+dvx4rVi4ULvmz9dFU6YQXI1Bps6vKADavl0aHBy+Erg8aBopgIq+rvx7xTuLx79XBv9voDjIYCE5XV3Dr0o3bkx6NGgAP31a+s53pMcekw4elN91l+yb35RNmpT00NBoY8k6xW9PnhwCqHg7hGrfi0AKKUUGC+nT1xf2vuroyEzX9oGBgTMZBbYqqcwk6aWXpMOHpSlTZIsXS+Not5dL8axTvKfSgw+efZ/RZLCiHlSRSt8LyBgCLCRjzZqwseiSJZl5dRpv9kiAVUEoOZZefVU6elSaPl1asIAAa5QyFcCP5gVStaApfpsACjnGfz4kI4N7DhaxI3td3KX33pNee006fly68MIQYJklPbJMyFS39ugF0rRpmXmBBLQaGSy0XkaL2zs7O9OfWUjS4KA0MCC9/XZ44r38cqm9PelRZUamitrLa6YAvA8BFlovXruR4gArU0s2aXDiRKjFGRqS5s+XrryS7FUdMhPAZ/QFEtBqLBGitTJU3J6pJZs0GByUduyQTp2SLrtMmjMn6RGl2sDAgNauXauBgYGkh1KfnG7KDjQaARZaK0O1G9Rc1WlwMPQuOnVKmjkzLBGiqkwG8Bl6gQQkjQALrZWh4vbOzk6tXLkyG8s2aXDihNTfH5YIOzqkq65KekSplskAPkMvkICkUYOF1qF2I7/eflvau1d66y3poovC8uDMmUmPKjUq1fNlpuYqjuJ2YNTIYKF1MlC7kdm6mKQdOiTt3h2yV5dfHnpgTZiQ9KhSI5PLgeV4gQTUhQALrZGR2o1cPBEm4cABadeucPvKK8MSElcQnpHJ5cByGXiBBKQJS4RojYx0bs9UL6I02bs39MAyk665RrrkkqRHlJjcLAfGZeQFEpAmZLDQGhkpbqewfYzeeCPsQShJ110ntbUlO54E5TILSnE7UDcCLABjF+0/2N4uLVokXX11WCKcOjXpkTVdtXq9XCwHRvr6pK6usDFzBl4gAWnCEiFaI8Xd2+nYPgbu0unToTXDyZOhqH3pUmnWrPA2eXLSI2y6apt/Z345MC76u5VCl34Ao0YGC62R4iXCXC7pNFMUXL3zTnjSffpp6S9/kW66SfrGN0KbhnH5+tdSKVuVq0xVNSn+uwXSjgwWmi/ll3dT2F6ngwelxx+X1q2Tjh4NS4ODg9Lhw6EW66GHpJtvTnUn92pZy2rHK2WrcpWpqiTlf7dA2hFgoflSvDwoFeCJstHWrQuZq1mzpPvuk2bMCBmtP/1J+sMfpB/+MPTAuugi6eKLkx1rFdWW96odL2QQnvK/WyDtCLDQXFzenR/u0rvvSr//fWjH8KEPSStWSOedFz4+ejQEVPfeG1o2LF6c2gCrWsBU7XihgvAoc9XTEz7m7xYYE3P3pMdwRnd3t/f39yc9DDRSV1d4FbxkCUWyWXfqVNgK56MflW6/Xfryl6Urrjj7PqdPh89ddZV0663SZz6TzFgxdvzNAqNmZi+4e3elz+WrEhXpk+IiWbbFqdPQkPTqqyFbNWNG2G+wkoULw33fequ14xsBv+9RIOMMNAwBFgqLqwdH6cCBsM/g3r0hcDILVwlWu1JwwoSwnHjqVGvHOQJ+36NAQ1GgYQiw0Fwp3r+sEJfZ1yNqGnrsWAimNm+WnnxSeuKJ8H7jRmnKlOFarMHByt/nnXdC8JWyXlj8vmugoSjQcBS5o7l6e4cv9U6ZQhUuVxLVX546Nfz27rthGXD7dqm/X/rVr8ImznPmSB/5iPS1r4UM1pEjoV1DvBWDe8hw7d0rLViQuu1yCv/7roWGokDDEWABRXbsWHhC3bxZeuaZ0DT07bel994bbig6bVqoubr00hBoLVoU+l396EfS/fcPf6933pH++McQmN16q3TDDUk9KowWVwwCTUOAheZKYS+dwm6N4x6yTq++Ku3cGYKq/v7QIPTYsfD25z+HgGr27LCv4LJlIaC69FLpkkvC97nnHukXv5B+9rPwtVdfHTJfe/eGAO2uu0Kj0csuS/Thlivs770WMldA0xBgoblSuERYrZlknkTtVw4dOqRDhw7pL4cPa9bRo/rAli0a/8Yb0p49IcjasSPUVV18cdikec6c4f0E580Lvawuv1y64ILhovYlS0KWyz3sRbhrV1hePHEifI+envA+ZTVYRfi914UrBoGmIsBC86R0q408duWOAqr33nvvzNvJkye1ZcsWbd26VYe2b9fHdu/WjU8/rfFDQ6E56MSJYZPmhQulzk7p+utDj6tZs0JAVc1ll4UGox/+cGg6umdP+H5XXSXdeKM0f374OGXy+Hs/J9EVg0uWpOrvE8gLGo2ieWhY2DLursHBQT377LPauHGjNmzYoN/+9rfav3+/hoaG9IEpU/S566/XA5s3a9q8edIHPxgCpE98ItRXlWebzEb6gbU/P9LXIznxuqv161P3AgjIklqNRtP3MhP50dMTrkaLCmjRMKdPn9bBgwe1adMmDQwMaOvWrdqwYYOOHDmiEydO6MSJEzp+/LhmzJihBQsW6NrFi3XHLbdo0pVXSlOnhgzVlCnhdrTVTT0IoLKLuiugJQiw0Dzr14deSevXSw8+mPRoMs3ddeDAAb355ptn3r/yyit6/fXXtXfvXu3Zs0e7du3S9OnT1dbWpquvvlpXXHGFOjo6NGfOHM2ZPVsL58/XeXPnhoCqWpPQnKLAXVwxCLQYARaaJ4UF7lI2n2zdXZs2bdLzzz+vrVu3atOmTdqxY4cmTJigiRMnatKkSZo9e7YWLVqkzs5OXXPNNbrpppvU0dGhiRMnJj38xFHgLjJXQIsRYKFwsvhkOzQ0pNWrV+vll1/W8ePHJUnnn3++li5dqmuvvVbLli3THXfcoba2Np0XKzA3lvIkFbzAncwVkAiK3NE8KS1yz2IGa2hoSA899JB2796tKVOmqKurSzfccIOmTp2qyZMna9KkSbrgggs0fvx4giqcLaV/h0AeUOSOZKR0iTCLW6aMGzdOd955p44dO6ZJkyZp1qxZmjt3LgEVqiNzBSSKAAvIgHHjxukGtp6pWxazlecsCqyOHAl9riQyV0ACinUpEVorvk0OkIB4vV1hxIvZlywhcwUkhAALzdPTExpYpqwP1sDAgNauXauBgYGkh4Imu+2229Te3l6M4va+vlBv1dMTAqtHHgmZK5qIAolgiRDNk9I+WFm8ihBjk8V6uzGjDQOQKmSw0Dy9valcoihUVgP5FmWt+vpS+/cGFBUZLDRPtDQR1WClZKmiUFmNgsp9cXt5IfuaNSwHAilDBgvNRaE7EpD74nYK2YHUG3WAZWZzzex3ZrbNzF40s1Wl45eY2VNm9nLp/fTY13zFzHaa2XYz+3gzHgBSjmULJCC3y8AUsgOZUc8S4ZCkL7n7BjObKukFM3tK0t9Ietrdv2VmqyWtlvSPZrZI0t2SFkuaJek3ZrbQ3U819iEA9cv9ElLB5WoZOFoOjBr3UsgOZMKoM1juvs/dN5RuH5O0TdJsSSskPVq626OSPlW6vULSOnc/6e6vSdopaVmDxo2sSOkSYe6XkJB9UbZq1arhvyEywkBmjKkGy8w6JF0n6VlJ7e6+TwpBmKRLS3ebLWl37Mv2lI6hSFLaCyu3S0gFlpv+ZuWBlTQcVC1fzpIgkBF1B1hmdqGkn0i6z92P1rprhWPv21nazO4xs34z6z948GC9w0HaxXthpUhnZ6dWrlyZn2Uk5CcrWV7ATp0VkEl1BVhmNkEhuHrM3Z8oHd5vZjNLn58p6UDp+B5Jc2NfPkfSm+Xf092/5+7d7t7d1tZW7/iRdixpoEUynZWs1M+KwArItFEXuZuZSfq+pG3u/nDsU32SPi/pW6X3P48d/7GZPaxQ5L5A0nONGDQyJKW9sCIUu+dHJgvb6WcF5FY9GaybJX1O0kfNbGPp7ZMKgdXtZvaypNtLH8vdX5T0uKSXJD0p6QtcQVhQKS10l3K0rFRQmay7imer6GcF5FY9VxH+r7ubu1/r7l2lt1+5+yF3/2t3X1B6fzj2NQ+6+3x3v8rdf92ch4DUS/EyYaaXlZCtALnWVYEsBwK5w1Y5KLRMLivhjNtuu+3MEm/qRdmqjo6zrwokqAJyydzfd2FfYrq7u72/vz/pYaDRurrCE8uSJTRHRHHFG4YSVAG5YGYvuHt3pc+xFyGar7c3vGo/ciQ8yQBjlMmaK4ngCiggAiw03/Ll0rRpw1dJpVBmn7gLJlM1V3EpvtADQHMQYKE1UlzoLmX4ibtgMnlRQl9fyN52dKT2/AfQeBS5ozVS3g8rU8XSBVLepyyTFyWsWROyt0uWpO68B9A8BFhonfgyScqeaDL5xF0A8cxiJn8/ZK+AwmKJEK2T8mVCpE8mlwTjouzVtGmpe1EBoLnIYAFl2D4nGZXmPfOZxd7e4asHARQKGSy0TkaupKLgPRm5mveoa7tEh3agoAiw0DoZ6YeV+WWpDKjUFiNX856RFxMAmodO7mgturoXTqWlv7Vr12r//v1qb2/XypUrEx5hg/X1hf0GpbDHINkrILfo5I70yGChO01Ih8XnotK8VDpWaekvV9mqchS2AxBF7mi1lPfDqiTzrQIaqDxYKp+XSnNVqcdY5ovXq6EtA4ASlgjRehlbJuSqwmHxuZD0vnkp/Fxl7NwGcG5qLRESYKH1qFFBXrGpM1Ao1GAhXTKw+XMtRarJKtJjPSe0ZQBQhgALychgsXskV/2aRlCkx3pOaMsAoAwBFpKxfPlwl+sU98SqJNdXwJUp0mMdkyhz1dOT2RcMAJqDGiwkh4JgZB3nMFBo1GAhnaJlwp6e8ESVsUxWXF5qlfLyOFqClgwAaiDAQnKWLw+v+tevz3z9Sl5qlfLyOFqChqIAaiDAQvIyXPAeyUutUl4eR1NRdwVgFOjkjuRlsLt7uUqdydPcdLPa2HLbYb2RoisGJequAFRFBgvpkMPL3NO83JbmsaUWmSsAdSDAQjr09oZi4SNHMl3sHldpuS2JIvJKP5OlwDGIXgSsX08zUQAjIsBCOmS8u3slnZ2dWrly5VlLbklkjir9zEpjQxVkrgCMAQEW0iNHbRuqqZY5qpbZqud4tfuSrTpHZK4AjAEBFtIjR20bqqmWOaqW2arneLX7kq0aIzJXAM4BARbSJ4f1WCOplmWq5ziZqgYjcwXgHLBVDtKJLUiQlL6+EFz19ITgqreX4ApARbW2yqEPFtIp2giaZRm0Gn2uADQAS4RIp6geS8ptwTtShporAA1EBgvpFm9AyjINmiFaEjxyJLQJkchcAThnZLCQbgVo3YCExZcEyVwBaBACLKRbAVo3ICHlS4KPPMLVggAahiVCZENvr7Rq1XDrBp4EMVYsCQJoATJYyIYcbqWDhLAkCKAFCLCQHdRjYayi5cC+vuHziCVBAE1Eo1FkD01IMVrly4GcMwAaqFajUTJYyB4yWRhJlLFatYrlQACJIIOF7CKThWqic6OjI9Tusd0NgCYgg4V8IpOFOOqsAKQIGSxkH5msYqPOCkBCyGAh38hkFU88W0XbBQApRICF7Cvv9r5qFYFWXpUXr69Zw3IggFQiwEJ+RE+0Etvq5EEUTN1/f+1sVRRgE1gBSBECLORH9ET7yCMsGWZVpaW/hx8mWwUgcyhyR35R/J5uURDV0xOWd3t7h4OqKDtV/nkCKgApQpE7ioni9/QZbYYqvvT34INkqwBkDhks5B9NJ5NXqZUCGSoAGVcrg0WAhfyjT1LyCHIB5BBLhCi28uL33t6zl6rQPNE89/RQnA6gUMhgoZjIqDRPlDEsL1onawggZ8hgAeXomdU8UVBVXrQOAAVCgIViomdW45UvB9IEFECBnZf0AIBELV8e3qIlwyiTFWVfCAxGVn4RgcRyIIDCG3UGy8zmmtnvzGybmb1oZqtKxx8ws71mtrH09snY13zFzHaa2XYz+3gzHgDQEPGlrGiJiz0Nq2OzZQCoqZ4M1pCkL7n7BjObKukFM3uq9Ll/c/d/jd/ZzBZJulvSYkmzJP3GzBa6+6lGDBxoqCiTFYkyMmS1zlaerYoXsxd9bgAgZtQZLHff5+4bSrePSdomaXaNL1khaZ27n3T31yTtlLTsXAYLtESltg5FzmqNlK2izgoA3mdMRe5m1iHpOknPlg590cw2m9kPzGx66dhsSbtjX7ZHFQIyM7vHzPrNrP/gwYNjGQ7QHPHAodJVh3nvpRU9vlWr2GwZAOpUd4BlZhdK+omk+9z9qKTvSpovqUvSPknfju5a4cvf13TL3b/n7t3u3t3W1lbvcIDWKEpWi2wVADREXQGWmU1QCK4ec/cnJMnd97v7KXc/LenfNbwMuEfS3NiXz5H05rkPGUhQHrNalYIqslUAcE7quYrQJH1f0jZ3fzh2fGbsbp+WtLV0u0/S3WY2yczmSVog6blzHzKQEqPNaqUp6IqPpdYSINkqADgno94qx8w+LOl/JG2RdLp0+KuSPquwPOiSXpd0r7vvK33N/ZL+TuEKxPvc/de1fgZb5SDzKm0sLQ1vFxMFYT090vr1wy0NGnUVXnybmuj7xn9WfOuaaFxsFwQAY1Jrqxz2IgSaoVKgEw9wJk+WBgerB2DVAqT496r0+UoBVPxnVfr+BFYAMCYEWEBaRIFXtaBppAApOlZPABX/WQRSANAwBFhAVoy0xBcdI4ACgMQRYAEAADRYrQBrTI1GAQAAUB0BFgAAQIMRYAEAADQYARYAAECDEWABAAA0GAEWAABAgxFgAQAANBgBFgAAQIMRYAEAADQYARYAAECDEWABAAA0GAEWAABAgxFgAQAANBgBFgAAQIMRYAEAADQYARYAAECDEWABAAA0mLl70mM4w8wOStqV9DhGMEPSn5IeRAowDwHzwBxEmIeAeWAOIkWYhyvcva3SJ1IVYGWBmfW7e3fS40ga8xAwD8xBhHkImAfmIFL0eWCJEAAAoMEIsAAAABqMAKt+30t6ACnBPATMA3MQYR4C5oE5iBR6HqjBAgAAaDAyWAAAAA1GgAUAANBgBFh1MLM7zWy7me00s9VJj6dVzOx1M9tiZhvNrL907BIze8rMXi69n570OBvNzH5gZgfMbGvsWNXHbWZfKZ0b283s48mMuvGqzMMDZra3dE5sNLNPxj6Xu3kws7lm9jsz22ZmL5rZqtLxQp0PNeahaOfDZDN7zsw2lebhG6XjhTkfasxBoc6Fmtydt1G8SRov6RVJfyVpoqRNkhYlPa4WPfbXJc0oO/YvklaXbq+W9M9Jj7MJj/sWSUslbR3pcUtaVDonJkmaVzpXxif9GJo4Dw9I+ocK983lPEiaKWlp6fZUSTtKj7VQ50ONeSja+WCSLizdniDpWUk3Ful8qDEHhToXar2RwRq9ZZJ2uvur7v6upHWSViQ8piStkPRo6fajkj6V3FCaw93/IOlw2eFqj3uFpHXuftLdX5O0U+Gcybwq81BNLufB3fe5+4bS7WOStkmarYKdDzXmoZq8zoO7+/HShxNKb64CnQ815qCa3M3BSAiwRm+2pN2xj/eo9j+WPHFJ/21mL5jZPaVj7e6+Twr/dCVdmtjoWqva4y7i+fFFM9tcWkKMlkJyPw9m1iHpOoVX7IU9H8rmQSrY+WBm481so6QDkp5y98KdD1XmQCrYuVANAdboWYVjRelxcbO7L5X0CUlfMLNbkh5QChXt/PiupPmSuiTtk/Tt0vFcz4OZXSjpJ5Luc/ejte5a4Vie56Fw54O7n3L3LklzJC0zsw/WuHsu56HKHBTuXKiGAGv09kiaG/t4jqQ3ExpLS7n7m6X3ByT9VCGtu9/MZkpS6f2B5EbYUtUed6HOD3ffX/rnelrSv2s41Z/beTCzCQpBxWPu/kTpcOHOh0rzUMTzIeLub0v6vaQ7VcDzQTp7Dop8LpQjwBq95yUtMLN5ZjZR0t2S+hIeU9OZ2RQzmxrdlnSHpK0Kj/3zpbt9XtLPkxlhy1V73H2S7jazSWY2T9ICSc8lML6WiJ5ESj6tcE5IOZ0HMzNJ35e0zd0fjn2qUOdDtXko4PnQZmYXl26fL+ljkgZUoPOh2hwU7Vyo5bykB5AV7j5kZl+U9F8KVxT+wN1fTHhYrdAu6afh/6rOk/Rjd3/SzJ6X9LiZ/b2kNyTdleAYm8LM/kPSbZJmmNkeSf8k6Vuq8Ljd/UUze1zSS5KGJH3B3U8lMvAGqzIPt5lZl0KK/3VJ90q5noebJX1O0pZSzYkkfVXFOx+qzcNnC3Y+zJT0qJmNV0hUPO7uvzSz/1Nxzodqc/Cjgp0LVbFVDgAAQIOxRAgAANBgBFgAAAANRoAFAADQYARYAAAADUaABQAA0GAEWAAAAA1GgAUAANBg/w+JRaGEUUR2VgAAAABJRU5ErkJggg==\n", | |
"text/plain": [ | |
"<Figure size 720x720 with 1 Axes>" | |
] | |
}, | |
"metadata": { | |
"needs_background": "light" | |
}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"fig, ax = plt.subplots(figsize=(10,10))\n", | |
"\n", | |
"#plt!\n", | |
"ax.imshow(image)\n", | |
"\n", | |
"ax.scatter(*zip(*vdw_pts),\n", | |
" c='gray', \n", | |
" s=10,\n", | |
" marker='.')\n", | |
"\n", | |
"\n", | |
"sasa_pts = []\n", | |
"for p, r in zip(pos[:,:2], radii):\n", | |
" pts = circle(p, r+1.4)\n", | |
" \n", | |
" #remove points that fall within radius of another atom: \n", | |
" pts = pts[(cdist(pts, pos)-(radii+1.4)).min(1)>-1e-3]\n", | |
" \n", | |
" canvas_coords = pts * np.array([gradx, grady]) + np.array([interceptx, intercepty])\n", | |
" \n", | |
" sasa_pts.extend([tuple(c) for c in canvas_coords])\n", | |
" \n", | |
"ax.scatter(*zip(*sasa_pts),\n", | |
" c='red', \n", | |
" s=10,\n", | |
" marker='.')\n" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 7, | |
"id": "27173fd7-0a66-4f74-ac26-f89f43757220", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"name": "stdout", | |
"output_type": "stream", | |
"text": [ | |
"perimeter is (units are angstrom): 54.7\n" | |
] | |
} | |
], | |
"source": [ | |
"print('perimeter is (units are angstrom): ', len(sasa_pts)/10)" | |
] | |
} | |
], | |
"metadata": { | |
"kernelspec": { | |
"display_name": "Python 3 (ipykernel)", | |
"language": "python", | |
"name": "python3" | |
}, | |
"language_info": { | |
"codemirror_mode": { | |
"name": "ipython", | |
"version": 3 | |
}, | |
"file_extension": ".py", | |
"mimetype": "text/x-python", | |
"name": "python", | |
"nbconvert_exporter": "python", | |
"pygments_lexer": "ipython3", | |
"version": "3.9.16" | |
} | |
}, | |
"nbformat": 4, | |
"nbformat_minor": 5 | |
} |
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