diff --git a/notebooks/physicsinformed.ipynb b/notebooks/physicsinformed.ipynb index 545b6a5b..53819f08 100644 --- a/notebooks/physicsinformed.ipynb +++ b/notebooks/physicsinformed.ipynb @@ -11,7 +11,7 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": 1, "metadata": { "ExecuteTime": { "end_time": "2024-02-14T14:15:24.946193044Z", @@ -24,21 +24,21 @@ "from torch.utils.data import DataLoader\n", "import matplotlib.pyplot as plt\n", "from continuity.operators import DeepONet\n", - "from continuity.pde import PhysicsInformedLoss\n", + "from continuity.pde import Grad, PhysicsInformedLoss\n", "from continuity.data import OperatorDataset" ] }, { "cell_type": "code", - "execution_count": 6, + "execution_count": 2, "metadata": { - "tags": [ - "hide" - ], "ExecuteTime": { "end_time": "2024-02-14T14:15:24.972420308Z", "start_time": "2024-02-14T14:15:24.892239942Z" - } + }, + "tags": [ + "hide" + ] }, "outputs": [], "source": [ @@ -60,21 +60,23 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": 3, "metadata": { - "tags": [ - "invertible-output" - ], "ExecuteTime": { "end_time": "2024-02-14T14:15:25.104432496Z", "start_time": "2024-02-14T14:15:24.950401815Z" - } + }, + "tags": [ + "invertible-output" + ] }, "outputs": [ { "data": { - "text/plain": "
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" 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", + "text/plain": [ + "
" + ] }, "metadata": { "needs_background": "light" @@ -112,23 +114,30 @@ }, { "cell_type": "markdown", + "metadata": { + "collapsed": false + }, "source": [ "## Data set\n", "We define the data set as a list of input functions and evaluation coordinates, but without labels." - ], - "metadata": { - "collapsed": false - } + ] }, { "cell_type": "code", - "execution_count": 8, + "execution_count": 4, + "metadata": { + "ExecuteTime": { + "end_time": "2024-02-14T14:15:25.114394430Z", + "start_time": "2024-02-14T14:15:25.109590390Z" + }, + "collapsed": false + }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "The dataset contains 4 different observations. The shape of individual observations is: DatasetShapes(num_observations=4, x=TensorShape(num=32, dim=1), u=TensorShape(num=32, dim=1), y=TensorShape(num=32, dim=1), v=TensorShape(num=32, dim=1)).\n" + "The dataset contains 4 different observations. The shape of the observations is: DatasetShapes(num_observations=4, x=TensorShape(num=32, dim=1), u=TensorShape(num=32, dim=1), y=TensorShape(num=32, dim=1), v=TensorShape(num=32, dim=1)).\n" ] } ], @@ -151,14 +160,7 @@ ")\n", "data_loader = DataLoader(dataset, batch_size=4)\n", "print(f\"The dataset contains {len(dataset)} different observations. The shape of the observations is: {dataset.shapes}.\")" - ], - "metadata": { - "collapsed": false, - "ExecuteTime": { - "end_time": "2024-02-14T14:15:25.114394430Z", - "start_time": "2024-02-14T14:15:25.109590390Z" - } - } + ] }, { "cell_type": "markdown", @@ -171,7 +173,7 @@ }, { "cell_type": "code", - "execution_count": 9, + "execution_count": 5, "metadata": { "ExecuteTime": { "end_time": "2024-02-14T14:15:25.163166253Z", @@ -195,7 +197,7 @@ }, { "cell_type": "code", - "execution_count": 10, + "execution_count": 6, "metadata": { "ExecuteTime": { "end_time": "2024-02-14T14:15:25.180877097Z", @@ -205,14 +207,12 @@ "outputs": [], "source": [ "# Derivative\n", + "grad = Grad()\n", + "mse = torch.nn.MSELoss()\n", + "\n", "def pde(_, u, y, v):\n", - " v_y = torch.autograd.grad(\n", - " v,\n", - " y,\n", - " grad_outputs=torch.ones_like(v),\n", - " create_graph=True,\n", - " )[0]\n", - " return ((v_y - u)**2).mean()\n", + " v_y = grad(y, v)\n", + " return mse(v_y, u)\n", "\n", "loss_fn = PhysicsInformedLoss(pde)" ] @@ -228,7 +228,7 @@ }, { "cell_type": "code", - "execution_count": 11, + "execution_count": 7, "metadata": { "ExecuteTime": { "end_time": "2024-02-14T14:15:30.918473889Z", @@ -264,21 +264,23 @@ }, { "cell_type": "code", - "execution_count": 12, + "execution_count": 8, "metadata": { - "tags": [ - "invertible-output" - ], "ExecuteTime": { "end_time": "2024-02-14T14:15:31.310763137Z", "start_time": "2024-02-14T14:15:30.946950664Z" - } + }, + "tags": [ + "invertible-output" + ] }, "outputs": [ { "data": { - "text/plain": "
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" 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LVXrNPwi97NW+pqRWktpV3IC2DfqNXCYo1qLA44T5vK8Da1tkI9NN5YqRRfY54eLg6hbZx2nncS5N3ggvUUlD9SLgC2B7i6odilisriZUcG4OPKRYS6acxxUxxVpLsZ5XrHkq7rPIfkszU9ZYZK8AmwLjCMvxDFeshdNN5XLMR/g8rFwY6ydCQ7oqnxJ6yXcG9iecE7wuabHk8Yrn1ec1AXoRqsNW3Ep9neiSZpH9QCjAdhth6bHxKUdyRcwiu8siG5N2DufS5o3wEmaRDSP05pXc1cbkIsORwNvA/MAAxWqdbqrS1tQFn7JCsdYhLIG3FWFpGVcNi+xDYHNCo2olQo/4YjU/y2WVmY0ws/5m9p6ZvQTsCvxC+GxtjEuA9jk3/xspMorVrtLF7VsssqOKaXlTl32KtWruxW/nyok3wkuMYq2oWCtWbFtkM9LMk09JcaiKk8Y1Cb3jLg9yCj7FhIJl7xOKM9U0JHkSsHDOLXOjFRRrVWAw0AF4jTBfzdUgGU64GfANsDxwWbqJXOJXYCbQsdL9HQlLO9bKzKYTlhFaLrmr4nn1ek0zm2pmkypuQFmsKlAqkhEuLwHPJ7VlKi58O9dkFOsMwrmEL1nmypI3wkuIYs1JWDrkTcXqkm6awrDIvgX2JVT0PdwLfeRNkxZ8ygLFWg54nlC4cCSwrUU2Kd1UxSFZqWBzwtKHR6ccxwXTCSODulbcIalZsl2nZeYkNSescTwuuetrQmM79zXbAevX9TVdcUku4o8AOhNGMfiUE5cv7xLaIcclK/k4V1a8EV5aLgZWB/4BPkk5S8FYZEMJy+hsWYpD79MmqSVNX/CpqvcpWDGnZAj1UMK81g+A7cplDfCmYpF9Y5Htn3vhIqmi7tJzNXC4pIMkrQTcAswN9AWQ1F/SJRU7SzpP0taSlpG0FnAvYcTKHRCuogHXAudI2knSakB/QnXsgYX7tVwhKNYahGUJlwQ+Bza0yEanm8qVKotsCGGVmxbAFSnHca7gvBFeIhRra0LhFIBDyq1wikV2pUX2Uto5StT8NH3Bp6oUspjTPcw+0dzai7A1nmL1Ap5VrJZpZylXZvYQcCpwPvAeoTeze84olCX4b8/mPMDtwMeE5SzbARslo10qXA7cAPQhLFHVJnnNTNZ4cA2jWGsBLxI+798GNrbIvko3VWlQ0EPSnGlnyaBTCWvO76hY3dIO41whyUpsmk/Sg/YH0D6Zi1byFGt+Qm/eQsBNFtlxKUdKVTLMeB2L7MG0s2RZXY8VSYsAPxBOzkfk3H85sLmZrV+H95qDcKL/gJmdW80+rYBWOXe1JTTEm/xYVqzlgTuB/ZMpDa4RFGsRwoWXNkA/4GCfQ1oYxfCdVwwZy5liVYx06kCYmtPdIpuYZqZScb208low5DJY9Cm4ysxOrW7frB8n+cqnWNcBJwAfAmuWci0jV/rqc5x4T3hpuIHQAB9DmReWSuazjQb6KdbKaecpERNo+oJPVe1TsGJOSXGxzb0B3jQssh+BPQl/JwcBUbqJnHP18CPwM6E45dbeAG8aknZ6H0ZsAoveCMzlBQqrEwO/E5a+PDTlLM4VTIu0A7jGUaxtgb0JJ78HJhXDy9mnwDBgO6CvYm3sV1Ubx8ymSaoo+DQQ/lPw6ca6vEZOwadn8hSz9gyxYuB1i2wweLXfpmaRPatYxxDWEo4U6xuLrG/auZxzNbPIxinWFsAki+yvtPMUuw5Shz9CLYWD7gLWgAl/wXGTw3QRV4lF9ptiRYRpNI1aAk9S8w6w6Caw+uKwRltYtCW0bQFt+8C4H0HAtM1grg2g7VT4+3f44XMY8xZ8PD2M+vvVSm2YsMskb4QXv2GENVlnWWRvpx0mbRaZKdYRwEfAeoSq3penm6okXA30k/QWMAo4iUoFn4AfzKxXsn0e8AbwBWGI42nkFHwqNMU6krAMygzF6uRzHfPDIuuTrC18FtBHsb63yJ5PO5dz7r8Ua3VgBYvsUfh3NItrpCul/w2BS7tDy9/Dqi1XnAiR11Co1a3AgxbZL3V9wubSQiNh9alh2dS1Y9jiS5hvUf47r63CQMKQDwgVZS+t9PgUQgv8W5i5uTTm5bBKwOjk9pZZ2XdyuSbmc8JdSVKsg4G7gKnA6hbZZylHypz6HiuSjiM0phciFH06wcxGJo8NB8aaWc9k+xrCGu4LEYaZvQ2cY2bv5itfta8TihY+Qygud65FdmFDX8vVTrFEqLK9L2Gt+E7lViiykIrhO68YMpaTpCbGK8ACwK4W2aCUIxW986W2q8CLu8A6zYA+8MeRsL2ZvVbX12jAd/KxzP5Ofh843sxGVbPv4cCBhCHfEL6Tz6pu/6bI19QOk9osB4ctDnuuAGusAa07E4rNQOgZuCb571nAbzDtT5g8HabNgGknwjNDQzt7jotg7T1hrZbQsh3M3QH+U1B0DULLG+Bg4Biw9+GHT+DV4XD/W/C8X1hxVanPceI94UVKsRYHfrTIZqadJaPuBvYCtgFuUqytffhx45jZjVQz/NzMulTa/h+zq/WnJll79BFCA/we4KJ0E5W+ZDTKIYQTw4f5/1X1nXMpUawlCEXYOhIupvqqIo10gdR9N3h8FZgL4Hn4+C/YImdVgiYnaS/CCLWjCMX0TgIGS+pkZj9X8ZQuwAPA64RO3zOAIZJWMbMf8pWzIRRre8JF/MMu7c18HeDcFWHPa2ChyuuWbgA/fRz+ht/5AsYOgWlrwrsLwA/zm02fP2ffGodkhcKwi/wCS38NG/4AY4GVgdW3ha7rwFzrwGLA3rNg7zdh1nXSh69Dv4fhDr+46BrCe8KLULIE0GjgL2Bvi+yLlCNlUlIl/UPCyKRdLbIBKUfKlKwfK43Np1htCCcnKwOvAltZZFObNqWrjmI1s8hmpZ2j1GX9OIbiyFgOFGtBQg/4CsBnwKYWVdlgc3UgSTdAn4PgsLbAr2CPw8WHm53TwNer83EiaSTwpllYDSep0/IdcIOZVR5pXdXzmxNGqR1nZv2bOl9DKdZCzOJrvmJOnuPlfSaw/v05o8t/hVkfwTc/wNAW0GcPeJs8N2SmSIt9EAqP9lgUOi8SVm4BQo/7wjDt59DG7ws8aWaNmtfuipv3hJe+k4FOhGqmE1LOklkW2ReKdR7hAzy1gmCu8JIh0bcTGuDjgD28AV5YuQ1wxZqHcBHkkRQjOVe2FGtu4GlCA/xbwvHoDfAGkjRvbxh6HKwJ8A5MfAm6/s/snQK8d0tgbUI9IADMbJakoYTpznXRGpgD+K2G96lq2dC8uV1a5hG47qk5mNlvOgCbDQI+hmlj4M1xcH1HeHQPK+zF3TnNvl83jDq4GmBiaJQfNw/s8Scs9HP4t9we2P4K+Ody6dUhcN5QszcKmdMVH+8JLzLJULKPCQf9QRbV7Qqmc5Vl/VhpTD7FmgPoA+wPbGGRvZqHiK4Okgb4W8DSwHYW2XMpRyopWT+OoTgyljLFag4MAHYEfgU28jopDSdpA+DhDrD428AH8Pw02H6PsBRnY163TseJpEUIc5s3MrMROfdfDmxuZuvX4b1uJkzXW6W6uc2SelP1cpNNehzfJW2zNFy7EazYirDEzcotsVlrIBbjLgZwWGarlUvNBCsCBywCB38DHVsAk4GnYdzzcMHtcJsV+MKBS4+vE17ariE0wF8lzHF1daRYzRVrgbRzuPyzyKYDhwBregM8XRbZ78ALhKVhHlCspdJN5FxZ+ppQqHQnb4A3TG9Jp0o3KwzpX3wifL4TbLKz2daNbYAXkqQzCUvb7lJLcbFLgPY5t8WaMsddUtdXpC8Pgee2SBrgo2HKC3D3nIdzENsDa7AfvVmqKd+3SZnNMrMxZtbrKVjlJej7DfzZGtgDFu4DNw+DSedI1y4izZV2XJct3ggvIorVlVCsYiZwjBcaqzvF6gy8Q2gEKOU4Lk8Uq51iNYNQIMwi+zDtTA6A4wnz8zsQjsE50o3jXPmwyGZaZCcCq1lkr6edpxidJi2yCXxzJRx9SJjK+TCwzof1qH7ehCYQzgM7Vrq/I1DjShSSTgXOBLY2s9E17WtmU81sUsUN+LMRmXMzLHarNKInDN0UlgEYCj/FcMIa0PoYs4MnL8C9wIuE4fBXNcX75tuaZr92NTtkSWg/FHZ/Cz6fBXSBuS+EE/eA8ZKOlzRn2lldNngjvEgkw8muTjZvtsg+SDNPEfqDMI++K2FInisxSeP7UeBJxZo37TxutmQ+/t6E43AD4Px0EzlX+hRrvaSQKwAW2edp5ilWkdTjCPh6K1h8OrAFPAbsndbUiqTw19uE8xng38JsXQlrW1dJ0unAuUB3M3sr3zmreP/WyRD3z++FDZoBL8DP58JBW5ktFJndUDHsPOlkOpFwsWEXxVqn0HkbzMy2MntsHbMVXobVh8HL38HMvtAOuB74fHXp1OWllrW9lCtt3ggvHgsQhpJNBOJ0oxQfi+xrZl/EuCr3xMSVjP8B3YAt+P89BC5lFtlY4LBk8wzF2irFOM6VtGT013DgWcXKa0GtUiVJV0q3nAoDloeW42Hm7XD4fma7Z2CO8tXA4ZIOkrQScAswN6FCN5L6S/q3cJukM4ALCNO0xkpaKLm1yXfQR6Rm/aSbTg/z2CNgztfglaNhv65mHS+opjp7MpLtLGBHiwp/0aApdDH7YAuzzS+Etn/C0YR/g8XuhCsehT97S5HkozPLlRdmKyJJT9/yFtmnaWcpRsmJyOeEBtopFtnVtTylpGX9WKnXci2x1iQMd54DOMoiu60AEV0DKNZtwBGEYm3rVTWt5ghpwe6w/Szo1AyWnAMWbQ5tWsCczaHVKPjpLBgDTAcm3gErToGffofR38Ib78Dot8xmFPhXS0XWj2MojoylJKl98iawJDAE2N6i8jgemsp2Utv9YcS+sArAu/DbSNj4KLNP8vWe9T1OJB0HnAYsRFjz/QQzG5k8NhwYa2Y9k+2xhL+HymIz652PfABXSNt3g/s7Q7t/gNXghy/DmuaPZeBCRsFJmnM7OOthOGfuUCeFF+DXIXDoZWaD0s7nGq9e566ldgz4l72riWIdCtxB+BtZxiKrdnmOUpf1Y6XOlWLD0jtvESqUDiSsCV9aH2wlRLFaAxcBF37Xm79fh13mhB1GwdwXhfl/aywOC39bw2v0A3om/z0XoRJtrt+AT+DPsfD1xzD8QrgJ+LwUT/qyfhxDcWQsFUm9hSFAF+ALwoWu31MNVWQkLbEFDBkaLgLyHLz8J2yV7+JrWT9O6pPvYKnVFjBwT+g+J/AXMAiefxv2uNrsjwa9f6yOwCyL7JeGPD9LHpOWbAePbAHrtiBcTR4EH70Eu9xgPm2kmPk64SVEsRYGjgKusMj+SjtPCbibcBV2VeB0QoESV9yuJjTAfwQO8wZ4dn0htRwIu7eFlReFzxaEefdMHstdxP174AOYOQmm/AmTJsNv0+DPmTB5BvzzIfwEfAnMMS90HA7btof2C0HbhaHFvMBG0HYjWP0eWB04Afi+mfT8UfDWM3DnWPN1411JuprQAP8L6OEN8PqRtAnw2DBYsBf8vTZcvqeZ17CohzOlnY6H+9cKw+MZAb+8CNufbfbmfg18TcXaFbgTeAo4oKmypmU3s2+A9fpLW64I96wHi+wOq2wKn+4inTMQLinFi8buv7wnPOMU6ybgGGCQRdYj5TglQbF2BJ4AhgFdy7XRlvVjpS75FGsX4HHAgG4W2QsFjOjqQFJzYMN2sOtYOHGeSrVIfgJGiz9GGu+cCw8Bo4GPGvo3OVpqPRq2bAnbzQcb9IMW94SijC1XBT4AvoRZL8Po4XB+fxhYzCc7WT+OoTgylgLFOoTQUIHQAPfhrXUl6R6453zY84swrel9YGcLjaVCRcj0cVJbPknNFobLP4JT5gH+BBsEd3wBR/Zu5GesYq1LmHImoItF9lJjXi9r+kknbgqX/Qat1gdmwUvAkWY+/bTY+HD0DH+I1YdiLQN8ShixUHIfOmlJlijbAhhWrg1wyP6xUsdG+PrA/cBjFtnphcznqver1GYknPwb7HQALEEoLMlwYCXgDRj/Ebz26CZMf2cz9qYlo4CN8zVvVWF91k3OhlPPhq0rFmudCbwEfw6Hu/vC6d/VvGZuJmX9OIbiyFjsFKsdMBaYB4gs8t7bunpAarsQvLkFdHof2Bge+xsOMrO/C5kj68dJnb6TpYfOhD33gJ/eg+0OMXunyd4/1i2EkaFjgM4WFc/a7HVxr9T6JjjzDTgFaD0XTLsGhoyH3SMfuVU0vBGe4Q+x+lCsfsCBwBCLbJu087jSkvVjpR5zwtsBUyyyaQUL5/4/SU9Aj/nh3M7QuTVoFrAoMB5+B57eAIb9DI9+mfz/VKzFgA+B9sBZFtkl1b5+E/laavcBnLIUHL46LFxx/2iY8T+45kW4MIvHQ3WyfhxDcWQsBYq1MnAocJpFNivtPMWgj7TqxvD6KtB2BnAPPPMN7NDYntuGyPpxUsdGeMe5YOPJMBBr2r/BZOnRT4H5gdMtsiua8vWzQtJSwE3nw3bnAu/DX8/B7meYDU45mqsDb4Rn+EOsrhRrFcLISQHrFuvyDFmnWO2B7hbZQ2lnKbSsHytZz+eC76QOH8GFK8CBy8C/SyF9CfYyfHAPXDgsDPmustdCsQ4k1FqbDqxtkX1QoOi8KK3TDK5cDzabBFoamAK/EJaB7FNd5iypfJxIOpbZFZPfB443s1HVPPdwwoXeVZO73gbOyt1f0t3AQZWeOtjMujc0Y12f51w+3SntvyPcvSA0/xXsdjj3TLOL0sqT9eMkC/kUqydhGbbJwIoW2Xdp5Mg3SboDbtodjm5P+GUfg8e+gr0is5lp53PVq89xktd1wiVtJulJST9KMkk96vCcLpLekTRV0heSeuYzY4adT2iAP+4N8PxQrA6E6rEPJBc9nHN1JKm9pJNvgM+7w7HLQNt/gEEw7mQ4f31od7DZGi+aPVJLY/Ye4EnCPMx+SXXngtjS7K0uZl0+g0WuhIumwGfAAoIb+8IvJ4YlgIqGpL0IhbliYC1CI3ywpAWreUoX4AHC9JwNge+AIZIWrbTfc4RRAxW3fZo8vGsQxTpcsTZNO0exeVC6YX+4Z0Fo/jFMuwK6p9kAd3XWH3gNaA1ck3KWvDEzO9TsmNtgvZHwa2vgANhte/jlSmnttPO5ppHXRjihMuL7wLF12VnS0sDThIJZnYFrgTskldVQbMXqDOxKKDZ1XrppSpdFNpFQ/ELAuemmca44PCdt01O6D/gWuOpmmH8EzLweXtoP1tvZbJGrzaIJVrfVHJK6DEcQVhZbEzg7f+mr1tls/JVm5xB6hI/pCZN6Qvur4IZ7pE92kZYpdKYGOhm43cz6mtkYwvzJycAhVe1sZvuZ2c1m9p6F9Y8PI5wXdK2061QzG59z84rbGaBYGwG3AMOS8wZXC0nN5pTOXxqOawW8CD9fD8tdajYk7Wyudsk0i2OAacCPitU85Uh5dbrZm8/CAnfDg38D68A8h8CbV0qnpZ3NNV7BhqNLMmAXMxtYwz6XAdub2ao59z0IdKhu6JukVoS1ZSu0Jaxwk8nhPHWhWEsTesKxyIp+KYYsU6zVCReKDFjVIhuTcqSCycLQsppkPV+5uU/q0QmuXwcWHw2sEe7+mNAbcX9jixgp1t6EXtnpwNIW2Q+NS9xwL0irtIMB68LyAGPB7oArL4IzslZJPec4mZ9QbH733O9ZSf0I36E71+G12gI/A3uY2VPJfXcDPQgnvb8DLwLnmNmvNbxOyX0vZ41izQ+8CywGPAjsW86FRutCUhtCT+ouiwARvDIUuj6ckWknWf/Oy1I+xVrIIhufZoZCu0jq1gMGLQ5zrQl8BZcB5xbDtKlykpnh6A2wITC00n2Dk/ur04vwy1bcvs9PtMKxyL5OGt+V5+G5JmaRjSYsceW94c5V4WFph1HSt/vBgHVg8ZnAN/DLCrA3sKqZ3d5EVYQfIox+2ibNBjhAV7OP1jVb4Qk48UeYthToQjjtPvhkF2nhWl8gHfMBzQkN8Vw/EeaH18VlwI/893v4OcK88a7AGcDmwLPJ0nPVKbnv5SxJVvi4i9AA/ww4whvgNesjbXNW+LfaBZj2IxxyhNlmWWmAu/optwY4wNlmz98LC+0Pj3wV7joDeGknqVOqwVyDZa0n/DOgr9nsCrmStiMMUW9tZv9U8Ry/4u4aRbHWAN6jzHrDs3RVuypZz1fqHpG6LgV3rAtLQVjO61n44Vk49SazB1MNV0DvSO3+hCGbw/oAg+CfHrC1mb2acjTgP8dJJ0Ll4I3MbETO45cDm5vZ+rW8zpnA6UAXMxtdw37LAF8CW5nZC9Xs49/LeaRYRxGGoU8D1rPI3k85UqbdI53bA85vC+wJvz8SRlyOqO15hZb177ws5ktWBLgSON4i+zLtPIUiaXfgzq7Q7sGwHvuZh5pdnnYuV9w94fVmZlPNbFLFDfgz7UwNpVgrKlZ/xX5Vq5CSE5gBhN7wc1KO41yqJC0o6dr74dl1YamZwFMw/hTYawezxQrVAFesJRWrYyHeqyZrmU3a3GyDx+B/42DG+TAXMEzSsZKUdr4cvxKulVT+N+sI1NhrJOlU4EzCxYVqG+AAZvYVMAFYroZ9SuZ7OWsUayVC8T2AM7wBXr1HpGZPSE8dkDTA34BJC8OmWWyAuwa7EtgWuD4ZIVIWzOxRoPNZ8Mf8oIPhsgHSM49IRd+uKydZ+581nqpPICZV1Qtegs4GDiAMCXSFdQHhBHaGYv8Qc+XnHqnj4dIthBUDThwIc1wL35wIB+xgtvC1Zg8XKoti7QWMAa4r1HvWZjeza3tBx3fCsPkWwI3bwxPbSK3TzpaYTlhi7N+iagonZF2Bahsdkk4nTMXpblb7ShySFiMMfR/X2MCuQQ4iXAgaAlyfcpbMuleadxH4cifYHuBR+ORSWPQ6s4/Szuaa1P8In33bEaYalA0z+/oxWGoQfNYM2AW2XRS+uVOq6/Qjl7KsNTZG8P+rsnajhhOIUqFYSzF72ZcLU4xSliyyd4HFLbIDk+qbzpWFl6RWj0v9tocfL4OjOoShw+8AW/8Plr7R7N4UYn1KGM68l2Jtm8L7V+lus98In9OnrQOzHoUdzoRvDwsN0yy4Gjhc0kGSViIMWZ6bsK4ukvpLyp3udQbhAuQhwFhJCyW3NsnjbSRdIWkDSUtJ6goMIlyoGVzYX80lehGq2Pf076qq9ZXWXR++2xiWmgbcCA/vASsPrOOKDa54WGSfAhXDsK9XrHZp5im0m8wm9oAVb4H7pwAbwWJbwNg7pI3TzuZql+91wttI6iz9u3TG0sn2Esnjl0jqn/OUW4FlJF0uaUVJxwB7UsJrAeY4mVBU53lfFzwdFpn37Liycod00hIwcVc4cF5o9ivM2Cmc5K9rZs+nVQncInuPUKQN4BbFmjuNHFWx4Mpjw1rcbAHznQCfnyqtm4FsDwGnElbXeI+w1Gd3M6so1rYEYZ3vCkcDLYFHCT3bFbdTk8dnAqsDTxCKWt1J6G3f1Mym5vFXcdWwyMwiu9O/r6omae2X4LnlofVPYJfByceZ7ZW1VQ1ck7qIcGFwUcqwE8vM7Giz/S6HI3+AWctAq13h5WNCTS2XYXktzCapC2HN78r6mVnPZOmTpcysS6XnXAOsTCjkcoGZ3V2P98xc4YjaJEuNfEsYYtbNIqtcId4VUDInf2WLbEDaWfIp68dK1vMVs+ukddaCxzeFxQF+BnsUBg2BA7LSW6RYbYCPCA3HiyyyzNVr6CftvwP0mw+afQuz+sDOFyZLexVKMRwnxZAxyxSrA3AecL5FNjHdNNklaR9C1fg5T4OfZsEeV5q9knauusr6cZLlfIq1FfA8ocDuBhbZqJQjpeJUad394aV3Ya5DYbLBfjUVxHZNLzOF2cxsuJmpilvP5PGeuQ3wnOesaWatzGzZ+jTAi9ixhAb4u0CV1WZdYSjW+oS1j/uW27AmV/okzbGSdO4h8OamsPgMYAB8cAF0OsZsl6w0wAEssr+Ak5LN0xRr2RTjVOkgs3sHwGZjYeoS0Ow4eCKW9kg7lys51xDmvpb0heGGelSa83FpREe4H5gTeOYK6FRMDXDXOEnn1b2EArsnphwnNVeavXk9LH0sDDFoDTw+j9TLC7Zlk/9PSZlitQaOTzYv87U+U/cmYT5qe+ColLM412QkbQ68+wmcfx/wNvx5Oey9i9nqN5h9nna+agwkrFndktkVoTPlMLPXhsCqn8LkhUDHwUPHhOVjnGs0xdoe6Eno4Ts33TTZ009abgX4cVfY4GFAcCmwk5n9kXY2V3AnE6bS9Ew5R6ruMvvpn1CQ8KbmoLvh4oXh4zekOdPO5v7LG+Hpa0aoADwSeCzlLGUvKXRTUeTjBMWaI808zjXWldKaL0nfLA/DgVWAX8+Boy6DDmeFOcSZlVyUPAH4G/hYsZqnHKlKR5h9MRxW+gj+fAF0O/SVtEHauVxxU6x5gD7J5rUWZWNt+qy4W9pla/h4dZhnIvA6XDrLrJeZzUw7mys8i+wXi+wqi2x62lnSZmYzzOy4g+GabYFNYIWWMPZxaf60s7nZvBGeMovsL4vsAmBDi2xG2nkcEIa0/UQo8uE9Wq4o7Sk1u0O673B4Z3NYIulGvgVYYYLZbQ9bcVRWtsg+JqxccKZF2T25PtLs28Gw/EEwbAa0AZ6VtEbauVxRuwZYBPgcyFxNhDQ9KF26Fzy+MLT4AmZcBrudadYr7VwuGxSrpWLtV05rh1fldrOTr4CL/gTWgo6rwFf3KXtTu8qVN8IzwoehZ4dFNhW4Odk8udw/xCtIOlbSWElTJI2UtF4t++8h6ZNk/w/klToL5kKp66nw22Gwb3tgNPz9NuxtZsdYWGarqFhkv6edoS5ONvtpCuwIvC7ocDm8fpm0Tdq5XPFRrB0Ja4IbYTmyySlHyoThUvPB0vC94Yy5gJfh9+tg5UvMHk87m8sGxWoBvEGYI75nynFSd7bZOZfBMb+AdYK2m8GYe3ykViZ4IzxFinWpYvXI6hDLMncLMBVYByj79RYl7UWYkxsDawHvA4MlLVjN/hsBDxCWNFqTMLd3oKRVCxK4TJ0otewvPXUyDF0P2k8GHoTH34AOUcaHnteFYq2jWEMUa6G0s1THzP4Gtr8cxp0GrfeHpy+R1kk7lyseyYXfONm82iJ7Pc08WSFprt3h3iVgc4D74L0rYdEM17RwKUhGlQ5KNq9LpnWUtQvNbrkUdvkaZi4OLbvDq/dJO6edq9x5IzwlirUycAZhHvhiKcdxlVhkvwD3AL/h/38gFDy53cz6mtkYQtG6ycAh1ex/IvCcmV1hZh+b2bnAO8Bx1b2BpFaS2lXcgLZN/DuUNElrtITPD4TtWwNvwW+3w2Z7m+12hBX/VJekYXIj0A24OOU4NTKziTOh65cwbVFovgu8cqG0aNq5XHFIRsZ1A67Ci7EBoHD8vPwr7N0DZl4Jd+0Paz1h9k/a2VwmXUoostsRuCTlLJlwldmgq2GTD2Baa2h+C9zlHSPpyus64WnI8jqGuRTrVuBI4HGLbLe087j/T7EWAP7OxzDAk6UFF4RVW0L7D2Dq3TAemNARJoyHqRSgsExdjxVJLQkN7t1z15uU1A/oYGb/72qqpG+Bq83s2pz7YqCHmVU5T1ZSbyCq4qFMH8tpk9SKMF/0zDmgxUsw4wu450s4tHeJfcAr1gbACMIQ3c4W2eiUI9XoMmmTnvBSR2g2Cn59BZY4xZr286QYvvPqkjE5GfzJzH4paDiXeQ9LZ7wOZ10H7YBfgT3MbFjauZpa1o/lrOerTLE2JxQkBdjEInstxTiZcYi03Hfw7FBYjnA8dTOzd9POVSoys064q1oyNObAZPP6NLO46iWVNht9wry1tNyV0uUPS++OlP74UZp5Nfx0JrxwMjy+MjwNvA18Mwv+/gdmfCJNekn68HHppmHSCo3/bRplfqA5oVhdrp+A6oYFL1TP/SFcrW6fc/MRCLW4XDpkAPzcIjTCW0yHx7eCxQ8wO6TUGuAAFtkbwCOEtWAvSzlOrc4we7U/HPgXsB7Mtzq811teY6IySXvNAW+eBEPK+d9HsVop1o5ehyQhNXtaGrgnXHoVtOsCXwLrlmID3DU9i+wl4K5k8w7FvkQXwF1mXwyF9QlL8s63Jrz0gHRC2rnKkTfC03EoMBcwGng55SyuForVTLG6JWu610k7aQVJZ0t6/xv4/FQ4bU/ovD60WyQ57iYDv4ApXDEbB0yfh/CHsSK03RxW2RWO2QI+/UKa9Jz0yKvSknn5JTPAzKaa2aSKG/Bn2pmy6hxp/selt0+BO3tAu9PDv9XuZrbb32bj086XZ2cB04HuirVV2mFqc5rZfXdCNAPoBsuvCF5AqpL28OlwaHUNdO4I96WdJ0W9gCeYvSxZ2XpMmud1+Hx72BngcfiyDaxjZl+nnS0rvFhqnZxG6ABYkfDd4YCkQGu3leDtwdB2N7juEemMtHOVG2+EF1hStbFiXux1XhW9KDwLDAH2qmmndaQWvaVzh0q/XBvmIl0IrP45zHoH/n4ePrwPbrkNDrwVlmoNzRYwa3aqWQczWwRoNQ06nAq7Xgk394e33oSpM4HloG132P0lGCPpEhV2fukEYCZhblWujoRh9FUZX8/9XR1dLZ1yKIzbFdZqDrwIX80Da5nZY2lnKwSL7AtC4USAKxQr899jJ5qd3x8G/AM8ATtJ2jLtTFky0ey98aHxyYGwz1llWDBIsVZidiNhSJpZ0tZXWm91+H4jWGYacD08vics/6TZxLSzZYUXS60bi+w34FjgReDudNNki5n9sSxs9S780hLYBS59LEwLdAXic8ILTLF2IfSE/EpY+9aLimScYp1BKPLxlkW2buXHt5BabQc3bAs9V4U5IPwBLgRDpsBDwMCGLgslSXvARuvDKRvDdrtBqx/DQ1O2gntPhz7dzN5s4GvX+ViRNBIYZWbHJ9vNgG+BG83s0ir2fwhobWY75tz3OjDazI5q6nzloLe0xDoweIdwRZ9xMPNJiI8wuyDtbIWmWPMThqa2A/awyB5NOVKteksaAI+Nhl0In//rNkWvXjEcJ3XJOFxq3g7GrwXzj4apF8HCD1lxLE3XWMmFpJeATYCngJ3K9QL93dIxO8MN80Cz8WC3wKmx2dVp5yqEBnwnv2lmxyXbzYDvgBtq+E6e28x2yLnvDeC9cvhOViyV6zFVm+2ktsfCp9vDwjOBQXDZrmZnpp2rWPmc8Gz7C3gL6OMN8KJxFzANWEex/m2Ed5GaXyxdfQNMOg0OXxXmmAy8AO88DV3/MdvGzO5qzLrMZmYPm712itmuG0KbH8MJ/GvAnGfBYVvAqGHS86NV96HyDXQ1cLikgyStROiJnBvoCyCpv6TcCqTXAd0lnSJpxaTo2jqE6tauniTtvAZ8WtEAfxY+uh+WLMcGOIBFNoEwzPAIQo9O5vU2s9GwH6H+w3wLwaBbpHnTzpUVXcxmvg9b/A62OrTaOTRKy8VhhAb4X8Cx5dpYkHTwO3DdPNDsfZhyGWxWLg3w+kiKpa4NDK24z8xmJdsbVvO0DXP3TwyuYf+SWrEk95hSrIXTzJI1z5j9eT0sNwC+aw7sDGc8Kp2fdq5y4I3wArPIngfWo+oq0C6DkuXKHk42jwaQtO6W8PVZ8L9VoeWfYE/Ds8Ngka5ma+9r9mKT5zCbkVQn33Rp2H0m/NkC2AK26gATHpf2bur3zHnvh4BTgfOB94DOQHczqyi+tgSwcM7+rwP7EhpJ7wO7Eyqjf5ivjKVI0oJJD8bAM2HOT2DaTXDCtmarnmL2Q9r50mSR9bHIbk/WhC0KFpZT2mUTmPgmrNYJRlDGhcgqO9jsw8FwHsDesFoklfxFpmRUR0XP5TkW2bdp5kmDpDkkXQ/cdQO0OBfeuxqWuMbs1bSzZVShiqX2IvToVdy+r3fSDFGslop1M/ClYnVKO0+WDDabfD0s/zh80xzoAefeLp2UcqyS543wFFhkZpFNTzuHq5cwB3UK+6il7gJG3gSL/wz2LLw0FJbc3my77c3G5TuImdlXZo91g3kiuO1HsCVgrh7wwHPSU48oP3NkzexGM1vSzFqZ2fpmNjLnsS5m1rPS/o+YWadk/1XN7Jl85CpFvSXdJt10AYwF9gRmfgaXbgkdjjW7IeV4mZOcXM2ddo66MLPvdoALFwa2hBXunz2/3QF7m104HN5pBuwNZ7WVVkw7U55dAsxDKNR6U8pZCm6AtNlLML4dHJ/c1ftCWLufL1WXBaW2Ysl0YBlC/ds7iqGeSCENM5t6Jaz4FPz4OnAKnF9bsT/XOP4HWCCKNZdiHZssT+aKz4gNX+P7C65hTqZzMKCf4d6DYbltzbrsYvZdoQOZ2czY7KhToPMA+LEZ0B22Xwq+6ScfblWsLpLW3QrGHwnHnAVzbQKfAeubWa8fzaewVKZYOxL+jc5JO0tdnWF21X0wDGAXOPJWacfanlNOZsEWQ2DCTtDsL3hcUtEOg62DRwl/v8cW06iOpjBQireB4ZvBvFeFBlIPM4uTodWuegUpllpqK5YkQ9KPBP4mTP84Ot1E2fO62ZRLodMO8NKfYfrBYElrpZ2rVHkjvHB2J8yHfd3XAC0uB0qt+/fm9ZefZ7FzpsLuczIV2MLMDnja7Ku08z1gNnpXWPwqeOgfoCUsdjwMkbRc2tlc3cVS877SvcfBqE1gwWnAY/BCD1jTzN5OO1/GLQmcoFiVTzIz6ynY5lX4bS5ga3i4v9Q+7UxZsaXZpG1gtS/gR2Al4G6V6LB9i2wwsLJF5TP0+gup5YvSKz3gvNagV+Hv4bCpmQ1KO1sxMLNphNoSXSvuSwqzdQVGVPO0Ebn7J7rVsH9Jssi+ASqKjl2quHSXfW2oV83++hN2INQf6nAmvPKAdHDauUqRN8IL54jk533lWnSlGJ0hrXscjD8ANmgBvNCCH7efRiczG552tlxmNusUs70vgiP2gF//hFWB/dPO5ermYmnL7WHCwbBfe2A0/HUT7LSH2VanmE1OO1/GPQWMAloT5jAWhYfNpg+EzcbBrGVgzo7wQtqZssTCeve7AdO7wq5nJEUgS0WyXCkAFtnMNLMU0oNSpykwbsvQE0k/+PBUWPjenOlNrk68WGrD3UxoYLYBbvOOsf/PzP4CtjsSvrwEWu8Edz6Qx7pD5cob4QWgWCsTvnBmUmInEqXscumsU2DketD2T+B+uLLrdFu050z7Ju1s1bnQ7PbPYQ3gSqDkixoVO0kt2ktn9oQX1oEOk4H7YOAAmPd/Zk+mna8YJBc1z042j1asxdPMUx9Xmn10L1wEsA2sfad0SmNfU9KxksZKmiJpZG1z+iTtIemTZP8PJG1X6XFJOl/SOEn/SBoqafnG5qwLM3ujF9w4GOgFBx0lHV6I9823pBjb54p1Um5jvNTdIO3VFT5aFeb9A7gIbukJq79hVtTDnNPgxVIbziKbBRwKTAW2AQ5MN1E2mdmkCbDJq/Dn3KBt4f4HpK3SzlVKvBFeGBUnDk9ZVN4VjYuBJN0qDTgFLloQ9Bn8cz9sua/Zaf/uE2tOxWqTZs7qmNkPZnaaWfn0rhQjSWsCIyfBJecBb8JvN8Hm+5ntEpkXbqynF4DhQEuKaG44wGlm5z0OYx4CzoST1Ihh6ZL2IvSQxcBahJPtwZIWrGb/jYAHgDuBNQnLvQ2UtGrObqcDJwBHAesT5lMOljRnQ3PWx8Vwxqcwvn0IcusB0jqFeN88uxhYCiibIZ6SDjof+k6F5mNgem/Y9WyzY8x8ZGBDebHUhrPIPgV6A78TlgZ0VXjUbPyNsMqb8E8H0Jbw7MPh3MU1AW+E55lizQkclGzelmYWV7vkxLLfk9BDwIvw6Ruw8JFmw/7dJ9aJwDi8qIdrgPOleR6VXt8e3iI0lCb2hUOfhvlPM3s57XzFKOkNr2h8H6JYy6aZp76ugY33ga8mhOrD1zfipU4GbjezvmY2htBwngwcUs3+JwLPmdkVZvaxmZ0LvAMcB+GCJHAScKGZDQpLnXMgsAjQoxE5685s+m+wzg8wdRlodjS8vEkRF55UrLUI64JDGRRj6yMt1kzqB9w9AebaA165CJa5xmxA2tlc2buSUI/hsbSDZNmDZt/dDOt/DNM7QosNYMRj0tJp5yoF3gjPv90Iy498CwxJOYurgaR5gKHAAc/AzCPgsi1hpQPN/qi0699AB+BQn0vk6uM66cT94afdYcNboFlbeBxYaabZXb29R6hRLLLXgGeBFsAuKcepl1fMJhocABhwYHepIfUc5gDWJnyGAaFWRLK9YTXP2TB3/8TgnP2XJqwjnPuafwAja3hNJLWS1K7iRqiy22CbmP0wErr/CbYRzHUCvLuINFdjXjMNyffFNYCA+0u9GNuj0rG7wdgDw4WbWcC5b0CX+8yKer1pVxosshkW2b/V4RWreZp5sqyv2Qc3wFbfwKwloNWq8P6VyuZo0GLijfD8W54wF/yOciq+UmzOl9YcBt8uBRsDE4Hud5idSdUNo4cJvUudqOFE1LkKF0pLPiONORGuXQbmGAeznoKLJ5ntlhSgck3jNGBTi+zKtIPUl5m9vjjc/ChwD/S7pf49DfMBzYGfKt3/E6EhXZWFatl/oZz76vqaEArk/ZFza3Sja1ez4a/CMTOBPaHjufBmUhG6mOwKbAb8w+wKzSVnjDTH89LQ3eHG+aD50TCtBXQxswt9+TGXRYq1MzCmmGqKFNrNZi9fC3uNB7sR2p4GdxThZ3Cm+D9enllkvYHFCdUYXQZdKnXrCaO6QJv7YNocYamUyr1D/7LIJgGPJJvVDfN0DoBbpUsPg6+2C0st8TSMuROWOtrs7Nqe6+rHIvuomHsXd4RzVoVpC0CzFYt75NQlQPuc22JN8aLbmt06LPQkMwtWEVzeFK9bCMnUtIqLQ1dYZN+lmSdfHpQ6G/zULVkO62H4+lJYarrZK2lnc64qitUMOANYAbjTRzhW7xqzR7vBrjfCdGAv4PpSXT6yELwRXgAW2TiL7Ne0c7j/72ppv0Nh8BLQYixMHwFbTatbtdA7k597ZbVAm0uXpKW7SS8dBWcsBM2+gunXwvHbm61yjpXmCXiWKNaCirVI2jnq4yaziY/B8TOBLWC5O6T6FJn7lTDqqvJa6R2B6kZbjK9l//E599X1NTGzqWY2qeIGNFn1663MTj4XLjwOMDhF0glN9dp5thnhgvyPFNHFgzqT9Ih02Xbwziowz0TgUrh9L1h2gNm4tOM5V52kWnpPYAph7fQjanxCmfvAbCDJ9Kn2cGwfeAJviDeIN8LzRLGaK9ZSaedw1bteOvpwuHcB0Ecw+SFY85S6X61/FfiCsM7k7vlL6YrNUmE+7NnAmKGw2QNgj8Lr98ICJ5mV45qsBadYBwNjCT2yReUssz4DQnE0toXoGmmBOj51OvA2SQ8kQDJUsCswoprnjMjdP9EtZ/+vCY3t3NdsR6iSXt1r5t0FoYBcL4CWcN0RYc3jTLPIhgCrAwdZZH+nnacpSZp7C7hvNzi9Heht+CeC7c80O8Krn7tiYJF9RvKZAlyl2AuP1cTMHmoL/3sZOBx2eBruTztTMfJGeP50A75WLK+6mEE3SEcdAje3BUbB7wNghTPMPqrr85NqzHclm4fmJaQrOjdKZwyCiQvBhcCcwLCesMruZhuf9/8L/Ln8+RCYC9hPsZZJO0x9vQ7bfgszF4UWy8FT9Xjq1cDhkg6StBJwCzA30BdAUn9JuRcmrgO6SzpF0ooKjdl1gBsBkgbUtcA5knaStBrQn9CbO7BRv2TjXdYWbngcuBaic4ujIT7GouqnOhUjSRsA7w6HfS4C+sKIc6HjdWW8/JUrWtcDrxA+M+9Khqm7akwyu+5VeBFge9j7USlOO1Ox8T+w/KlYluzHVFO4/2cOaYN14MY2wEj4/QlY7hxr0Prt/Qk9bT4vvMxdIq09TPr2OLh0DZjzglC4bz+g61Szj9POV24ssjeB5wiFynrVsnvmXG328+Nw4UvAGbC2pE51eZ6ZPQScCpwPvAd0BrqbWUVhtSWAhXP2fx3YlzD88n3CqJ4e9t8pOZcDNwB9gDcJo3+6m9mUBv+CTcDCemmnLQTftgbOgOgc6Yw0M1VFsTop1spp52hqj0ntnpHeWAFeIxSg/f486Haw2UbPmDXZ9APnCiUZln4w4fu7C3BsqoGKwLHQ7SH4HGBHOO+Bhq3sUbZUaiOFkqFyfwDtk7lohc8Qqz1hCN+cwLoW2Vtp5HD/n6T1gOfnh3bXwQ/vwRqXW3nO18/CsVKTrOcDOF9qvzw8sANs25YwIfdpeG807OTzvtOlWBsCrwMzgOUssm9SjlRvzaTbDd4A+lZXVboYjpN8ZnxHmkvw5Zqw8F/A1RCfZ9a7Kd+jMRRrMLAVcKRFdkfaeZrCXdIRXeGGJaHlG8AmcP9MOM7Mfk87WzHL+rGc9XxNRbGOAW4CbrLIjks7T9ZtI7U+Db7bCub9HWYNhs32Nnst7Vxpqc9x4j3h+bEHoQE+hjBHz2VAV2kLQsXhdhPg5f2gU7k2wF3jSNKN0hUHwYR9kgb4e/DntbD3TmZregM8fRbZCOAFwrrhmeshrYtZZoeb2Z2+rFP11jL752fo9A6MawOcBtElUiaWqFOsrYCtCdfnhqUcp9FukzoOkd47BG5bElr+ALOGwUUzzPbzBrgrIbcSlrr0BngdDDabfAd0fgemzAPNNoYXHpHXxKoLb4TnR8VQ9H7J3GGXsluknR+BF44Iy+W8Amxv1jTFcRSrm2I9rFjdmuL1XLYloyle/QdOXRJajINZd0KfQTDPKWE4sMuO85OfhyrWoqkmcXmzjdmfv8FyI+HbuYBT4ZTLpD5pZkrmk1ZUQb/FIvsyzTyNdZfUa0f4fmtYA2AQfHEJrNDLrD4V/J3LPItsVjEvdZmGB82+uw02/xpmzYJWV0BfSc3TzpV13ghvYoq1LLAJMAu4L+U4DrhF2ng3eHxe0BHw1yawk5n91YRvsRNh9MNBte3oitf50iYbSE8AI4GNLoLJ98PQO2ChQ82OjMxmpp3R/ZdF9jLwcrK5SZpZXH5tZTb5d1j+FfhsKvBQKFB3cYpr2O4NrElYnu3ClDI0mqR5j5WGHAIXLwItvoYZl8FZO5stf6MV94UF52qjWIso1pOKtXbaWbLuNrNR18FeG8KUN8Oc+ivSzpR1BWmESzpW0lhJUySNTHqSqtu3pySrdEu1AEw9VRQlGGpRg4p9uSZ0q7TyDjBsQWj2MUx9CNZ4xWxiE7/NvcnPXXzN8NJzrrT2IOnDM+GVK2FHgQF3/wHL72vW7VyzX9LO6Gp0JLCURT5KodR1N5s2E1beG256N9zVC+gnqWUhcyhWK+CiZPNSi4rvM0JSc0lHAp/dBt1GAY/Ce1fDYmeYFd3Sf8410IXADsC9itU67TBZd63Zo+PgwGTzfxtJp6QaKOPy3giXtBdh2ZQYWItQgXWwpAVreNokQgXXituS+c7ZhK4kLGJ/WdpByl0fabEt4c3FYY6vYUY/2Phys6/y8FajgC+B1sDOeXh9l4LTpZUeld7qBW/tDKu0BFrBr11hCzM72Mx85YMiYJF9YpGNSzuHK4wuZjOfMjuOsGrFzA3ggJdhfCStWMAYxwBLEVZHubaA79skrpWOGAwTWoW5sfPNhA+3gy67m615w+xK+86Vg9OBccCK+Hl9nZjZI0B0APAiXPmQdG7ambKqED3hJwO3m1lfMxsDHEUo/1/Tsk5mZuNzbkXzoW+R/W2R3WuRvZh2lnLWV2qzAYxeAVqPB7sLtrvULC9F8pJ5/xW94fvl4z1c4ZwsrfiA9Oo5MGZ3WLs1MBom3QonrGs2//NmL6Wd0TWMYq2pWHOnncPln5n1bQ079YdZm8I8h8OH10iF+nyeDPwORBbZ5AK9Z6PF0mpDpC9Pgtu2hg6nwRTgRGDNCf6558qQRTaBsGwZwHGK1T3NPEXkgu3gszmBHeH8+6Qd0w6URXlthCdDwNYGhlbcl1R5HQpsWMNT20j6RtJ3kgZJWqWG92glqV3FDWjbVPldcZKkb+Gp1WGeicBtcMAFZs/n+W0r5v9vrbjGUR4uoyQtJ+m28TB6H9i4HfAJTL4DznkcOhxldkPaGV3DKVYf4B1qvgDsSsjfZs88DTt/DdMXg+ZHw733Svf0zvM8cYvsNmBZ4O58vk9TOUNa4D7p+ZNg9NawDMCz8OkcsJaZXW9mM1KO6FxqLLLBwI3JZl/Fmj/NPMXAzOxBWPsVmNQa6AqPPywtn3aurMl3T/j8QHOgck/2T8BC1TznU8JJ0s6E+dXNgNclLVbN/r0I67FV3L5vZOYGUaw5FesVxTpTseZMI4P716m9YfPTwG6FsyOzvBfIs8g+JwxLbw7sle/3c01DknpJ++0vvUT47DniYZhjKPx2N1z6AbQ9zOyi3uarHJSAZJowpyjWHKkmcQVzktlTD8Fyr8LPcwL7w/7d4LtbpKXz+b4W2e8WZbvxurzU8lbpnhNh/H6wVXvgQ/j7Wui5rdmK55l9nHZG5zLiDOBjQtvlNsWpFXwsGgPN/roL1vsMZiwELVaFN1+Sj0TLlbnq6GY2wsz6m9l7FoY/7Qr8QiiuU5VLCMtOVdyqa6zn27aE6rvHAtNSylD2Wki7kywLcyWcdKbZxQV8+/uA9wh/ry7DtpPaXiXdNAImXQL3XgabtQyfh0/PhM26wfw9zXrt4eszl5K7gZ8JNUb2TDeKK6Qzzb59ARbpB09OBTaGRXeBz7eVdmnK91Gs/ynWjlk/QZfUQtIBX8CYjrD/ItDse5hxN9z4GLQ/yaxf2hmdy5JkWsn+wAxgVWC+dBMVh75mn94Ke/wKrAztW8BbpLdiRebkuxE+AZgJdKx0f0dgfF1ewMymE3owlqvm8almNqniRlgOJA37JD8fsshP3NPQTzp+EDyUzEe43syuL3CEGy2yNS2yBwv8vq4OJOk4aft+0ojbYOIpcMwG0GYm8A18s3couLaDmb1i3vNdciyyf4CKz4TTs95Qck0rMpt5kNlOV8IBn8P016D5c/C4pJslNXoam2ItAVwKPEHN0+1Ss53U8hrppuXgC6A/sOy5MOEheOx5mKen2fG+1KJzVbPI3iFUSl8rmSvu6uBqs4E3wvnTgY1hxRvgurQzZYXyfa4paSQwysyOT7abAd8CN5rZpXV4fnPgI+AZMzu5Dvu3IwxLb580yvNOsdoShtjPBaxjUX4KgLnq3SFttScMaQe6HT4/AlYyP5moURrHSn00VT5JiwD7nQUnX5QzDeZXmPUGDP8d/re/2egmiOwyTrHmIXz/tAG2s8ieTTlSo2X9OIbsZTxCWnAwXPYt9ARYDH68DgavCEeuHC7815ti3Q4cBgwHtkwKdmZCN6nddnBNdzhgJZjjduCI0ElyNXCDmf2VckRH9o6TyrKez2XbjdIzE2DbC2DKLNjYzN5JO1M+1Oc4aVGAPFcT1ul8izBn9iRgbqAvgKT+wA9m1ivZPg94g3CltgNwGmH44B0FyNpQOxEa4J8TCv+4AuorLdoNnm4HGgV/vQYbpNkATy7KbAc8nKUTsXJyiLReZzhlIKxEGDqmwcAFwPvw8+dwz7xw3vZWPJWLXeNZZL8nBdpOJszxK/pGuKu/PmY/Awcn5x93XAjL7AoHfwV7PSadsRvcRD16KBRreWZXUD47K5/7B0urbQLX3wWbLw4CmAQ2HwwGdjezv1OO6FxRUqxmwP+AlhbZJWnnKQbHw46EkULbAQMkrWNmZT19M++NcDN7SNICwPmEXqj3gO45y44tAeQO354HuD3Z93fgbWCjZHmzrKoYiv5gVr58y8XbUovV4O0loeW3MOte2Phus9/SypMUfPqKUJRwLDAyrSzlZC9p/tXgkCVg5xWh8+3Qujlh4fZhYZfX34V+D8Er+5h9vGaaYV3argFOADop1gIWlfdJQDkzs2GSVpsED/wCOy0DrZeBG8ZA78+kM3vAnXVsjPcmFOV8xiJ7Pa+ha5GMNux6M1x9A6zaJrl/Asx8HZ77Gw7bx2y8n6g41yhbAVcCsxTrFYvs1bQDZZ2ZzVRYJnLUnLD8FTBqsLT6NmZpTSNOXd6HoxdaoYfLKNa8hKHoLYCVLfJqooX0rPTytrDp38DlcHBsdnfamRTrPmBf4HqL7MS081Qn60PLassnac620HsIHL0GtJur0uOfwp9vw+D94CQz+6EgoV1RUKxNgVEW2dS0szRW1o9jKI6MB0irdoeHd4WVKj5LPoHf3oOL9za7qrrnKdaqwGhCT/NaFtm71e2bT/tJawyA3f+BA4ElegMR8AX89S7cOQ+ctZWP/Mm0rB8nWc9XaIrVHzgA+A5YwyL7PeVIRUHSys/C6O7Q/BX4ZFNYuT4jj7KuPsdJ5qqjF6F2wGPACG+AF9YD0hXbwqYAt0GfLDTAEw8kP3dPhiwVNUnzSrpP0iRJEyXdKalNLc8ZLskq3W5t4mhT/4SD2iUN8Akw81X46lG46zFYvZNZu33N9vAGuKvMInulFBrgruncY/bhfmYrHwtbPgBf/AOsCPN+BFdKGinpoGo+9y4gNMAfLXQDfC9p9aul+4ZKv94J720N5xBGF058FPo9DIcvB+32MDvJG+DONbljCVNnFwfu8GKfdWNmY0ZC7+nAprDigFAksix5T3hTvW8s+VD0wpG04rrw5mPQ5mV4Zz+ztdPOVEGxWhGWQmoHbJrVYUp1PVYkPQssTFgmcA5CPYc3zWzfGp4zHPgMOC/n7sn1OSbrkk/S0afB4ivAC4fBi6V0NdXln2I1BzpZlOnpTjUqht6pYshY2b7SFl3h6rNg5Z+hJcB+MLUX/DEWHl8Arl7P7HPF2hU4G9g/3xfil5dabgu7d4J9V4NNN4B2LXMevx++2w9OBwaa2ZR8ZnFNrx7fyfMCNxDm2M4idASdWF2BvWT/GNiacJHmF2AgcK6Z/dHU+cqJYq0NjCCcGx1lkd2WcqSicYv03NGwzQzgQThif7Pb087UFOpznHgj3BUdSR0Ic61XWBhGdIIthlm2erUUqx9hWOANFtkJaeepSh0buSsBY4B1zeyt5L7uwDPAYmb2YzXPGw68Z2Yn1SNPK6BVzl1tge9ryudcQynWMsBQoD2weLIObNEphu+8YshYHUkdgcOBg56B5bbNeewLmDQW3p4MTy4H960cCr41mZ2kRQSbPgFLA10WhE1/CqUu/vUl/P0pvDwNrukBQ/1CZPHK14VxSasSGuF3E77PlwRuBUab2e5Nna/cKNbJwFXAFGBdi+zDlCMVhS5S81Phmx1g0Qkw6zlYbf9s1/+qE2+EF+hDQrE2ACYVcy9KsXlJanUOPP9qGIb+HbCONfGJT1NQrO2Bp4BxwGJZXDu+jo3wQ4CrzGyenPtaEL5s9jCzAdU8bziwCmGY5njgSeACq2FIpKTehGmMlfkXvmtySS/454QGztEWWVNPlyiIYjgxLoaMtZGkfWHHTeGMzrD2utCqec7jU4B2MGI6fAiMuRw6LAq/CD5oB9+tAeMWy+mdliTCqirtesOGbWGNNrBCG1hqXlh8Sei4PMzxGtAl533egRmC376DV2fCFT3M3sj/b+8KIZ8Xxqt4nT2Ae4G5zWxGU+UrR8m0w6eBrsChFtk9KUcqGvtJC/eCsatCyw/gtx9g4e5m09LO1RhZW6KslF0DbKBYPS2yfmmHKQdTYNjzsOGhMP1+2CWLDfDE84SDcGGgM8W7dN1ChKH1/zKzGZJ+I2fN7SrcD3wD/AisDlwGdAJ2reE5lxCWNKxQ0RPuXJOzyGYq1vWEz/GTFKtPFi+WuWyw0GPxBPCEJC3eg8d3HcHSm/zEfKvBIpOh2XTYkHBja2CNSq8xU2IW8CUYMJPkHGw/YLlq3nep0OgeaPAa8MITMCYym9m5yX9DVyQ2BCZWNMATQwnD0tcHqrwwXoX2wKSaGuDVjE5zlVhksxTrIMKIqrfTzlNM7jMbd5q0xzkwaGGYtxdc0h1OSTtXoXgjvIEUaylgA8IH3+B005SH+6UL9k1OcDrDzfdZdj/sLLJpirUXMMYi+y7tPJVJupSwTjLAH6q6nshKDX19M+uTs/mBpHHAC5KWNbMvq3nOVODfaQXVZHKuKd1FWD6zE7ANxb1u+DySbqGJ54lKqmq43D5m9mDTxi8ivVn5O9j5us7oOliN3ny8UrjYuAKwKrDS97BFK2jXEVq0J1TBbT77Jmaff9lnMH0WzPwN/vgDfv4LvvkLXm0DT+4Gn8wqtSGLrjEaemH8X5LmB84F+tSyay+qHp3mKrHIfibn/4vXiaq7K8yeOFO66j445Xs4SdKTZjY87VyF4I3whqvo0XvZIhufapIycKe0+V6h+A0Pwvun1WOucVossixfnLkKeAR4C1gH+LuKfb4iDCVfMPfOZDj6vMljdVWxXvpyQJWNcOcKzSKbpFh3AP9LbsXcCL+dcKx2Y/Y80T6E5RKrskhyO5X/zhNdBKg8T/Rg4Lmc7YlNFbpInUNoSD9mkX2YNFPeTW4P5e4oSZ1g7vVh4QVg/hbAzNAL/iNhtNTf25mPwCh3+b4wnvM+7QhDp8cQ1reviY9OawDFWhO4WbH2ssi+TTtPMbgMTgPmBw4CHmwtrTnZbFzKsfLOG+ENV3GS8liqKcpAf6n9ZvBMG9Ao+Otx2HjvtEPVU9auiprZL5Iqep0/r2H+2Qigg6S1bfbIgy0JHTsjq3pONTonP0v+Q9UVneuBE4FuirVqERfV6cZ/54keDzwj6dSq5oma2YfAbjl3fSnpbOBeSS0qDVOdaFb3i82lPIxVsVYE9ko2L6ht/2QY+1+E+gOfV9x/RV7SuSKW9wvjktoSLqb9SZjON72m/X10Wv0ly5RdRxgp+6BibW5Rzf/OLnxOSjoGWGtHWO1cGPOktPiO1YzkKhVFv4ZxGhRrUZJh0dR9/o1rCElLwIjlofVPYA/BVg+bVfXllEmKtaliPct/ryYXDTP7mPClfbuk9SRtDNwIPFhxYi9pUUmfSFov2V5W0rmS1pa0lKSdCOtAvmxmo9P6XZyrikU2ltmf47ukGKWxaponWlfVzRO9SdIESaMkHaLaz8Z7EXp5K26l1Ht2NqEXfKBF9n7aYVxpMLNfmH2R5nMz+6SK2zTCclgdJOUuy1rrhfGkB3wIMA3YyZewy4+ks+UgwufehsCl6SYqHmY2eXM48A6wdaFDa8jk8r5NyRvhDVNxojbCIvsh1SQl7lq4tAusNBO4C86+yqw+va9ZMDfQHdgnqcZcjPYDPgFeIFRgfRU4IufxOQhzaiuWzpkGbEX4wv+EcIX/McJcVeeyqDewEXBhyjkaY0LuRtKQbop5oucBexJ62h8DbgaOr+XlLiE06Ctui9UlQ9Yp1grMHt5fay+4c02tgRfGKxrgcwOHAu0kLZTcivW8JLMssq+BnsnmyYpVzBd3C2q42Xu3w4WzgK6wxkPStWlnyicfjt4wFUuF+lD0PJLUqTkc8zuwBAzrZXZJ2pka4AXgd6AjsAnwUrpx6s/MfqP6eaWY2VhCz1DF9nfA5vlP5lzTyOoQ9ErzRKuzThO8T7XzRM0st7H5rqS5CfP3rq/u9Up4GOtZhM6LpyyyYl3xwhW//QgN7xeYXYTxhJzHK18YX4vZI2K+qPRaSwNj8xW0XFlkAxXrauBkoK9ivW+RfZV2rmJwttl5/aVuB8IGO8KJd0mDDzEr5not1fKe8IbZFdgBeCDtIKVK0lzAozOhzfkw/LBQwbfoJHOBKoa67plmFudc7RSrXbLuaxZcRSjGVNNtbLLv/LlPzNc8UcKQ18WSed/l5irgYUJFfedSYWa/mdm+ZtbWzNqb2SG5qyCY2VgzU0WFaTMbnmxXdRub1u9RBs4kTB9oDzyiWHOmnKdo9IUur8LE1sAWMODesJpHycnKiUZRscimWmRPW/T/i924JiCpNzzTKiz18hNhOZxq17IsAo8kP3cr4iHpzpU8xboE+IEwnSJ1ZvZLNXND/70BFY3mQs0T7Qz8nvR2lxWL7AOLbC+L7M20szjnsi3phNkL+DW5zZVuouIxzGzqw7D5DzBraWi1aInOD/dGuMucB+CmKFwFox0cWJ+qvBn1IqFIR0fqVyTJOVdYcwFtgOPSDtIAz9PE80Ql7SjpMEmrSlpO0tGEIdk3pPD7OedcUbHIviPUG9nWIvs97TzF5Hqz0X2h10zgE1iptdQj7UxNzRvh9aBY8yjWR4p1qWL5fPo8uEXqtjMcDfARDPvDbEjamRrLIptGmG8JxV192blSd3PycwfFWjrVJPV3OPUroFgxT3Q1wjzRcTm3xZN9pgPHEoZUvgccSZjjGOfv18gexbpYse5QrGXTzuKcKy4W2WcW2cyKbcUqmSUb8+0cs8u3hLuPAf6BOyWVRJHPCt4Ir5+dgJWB7S0q6uHRmXSH1G5LGNgaGAETn4Zt0s7UhB4l9Ih7MR/nMsoi+4zQOyzgqJTj1NfvTT1P1MyeM7M1k9dsY2adzew2M5uVzq9YeIo1L6Ho1aHA8inHcc4VKcWaS7H6AK8rVutan+AAeDl8F78DzNsc7ntUpTO33hvh9bNb8vPRVFOUqMXgpU7Q+mewQWE98NoKBBUNi2yARdbVIvNifs5l243Jz8MUy+fwuWMIQ/bfBwannMU5V7zaEzrzVgVuVlw6y0bkU1J/ZO9F4e/BsFkbGJZ2pqbijfA6SoaPVFTo9qXJmlhf6YLuoeAP98D5l5q9nXIk51x5egb4hlBZfO+Us7gUJb1VJyabl1lklmYe51zxssjGA/sQlpU7iGTqpaudmX1+ItzSFegOG/SXzkw7U1PwRnjdbQ+0Aj4DPko5S0lZVlq8Syj2wyPwzilmvdNNlD+KtZBi+VJlzmVUMnevYm54sQ1Jd03rYMLSb18ze5UL55xrEItsGGHpMoDrFGujNPMUk9PMTnsUxgDsABf1kVZNO1NjeSO87nokPx/3q+FNR1Lzr6BfF2jWHyYMhs3TzpQvitUe+A54SLGWTDuPc65afYELgD3SDuLSkRRfPTXZvNLrwDjnmsiVhIt6LYDHFGvhlPMUjadg0w9h6rzQbF0YPlzFveyvN8LrQLFaAtsmm4PSzFKCzgK2+Bb+Pgg2viOnkFCpscj+AF5PNnukGMU5VwOL7BeL7DyL7Nu0s7jU7AksBfxCuCjjnHONlnTkHUIYVbsQoWPG54fXwd1mvz0Ae/4FrAnzTYQn0s7UGN4Ir5u2wMOEwiyjUs5SMm6SjtkWeiebR5vZZ2nmKZAByc8eaYZwzjlXoyGEpdgusMj+STuMc650WGR/EZas/Rq42EfY1t1FZk/0hf4AO8J2d0g9U47UYLIS+/8uqR3wB9DezCalncdV7UppyX3hy0Wg+anwypVmm6WdqRAUaynCh+4soKNFNiG1LBk/VrKez5U+xdqCMCT5cYvszrTzVKUYjpNiyOhc2rJ+nGQ9XzFSrDksKp2VgApFkp6Bb5aExQ+Gr0bBamY2Oe1cUL/jxHvCXeFJWhuGLwLNv4YZc8BeaUcqFItsLPAe4djbMdUwzrnarAVsR1imyjnnnGsyuQ1wxVpGsdZIM0+xMDMbBJuuC+NHwTLA5WlnaghvhNdCsRZXrA0Uy/+tmshdcOMWsNQM4DE4+hKzcWlnKrCByc8eKWZwztWuHzANWEux1k47jMs/xdpQsV5WrO5pZ3HOlQfFWg94G3hCseZPO08xuNXsm8nQM9k8dllplzTzNIQ3LGt3MDACuDvlHCXhCmnj3ZJepUdg+Klmd6SdKQUV88K3VKxWqSZxzlUrmS7yaLJ5ZJpZXMGcBmyKV8Z3zhXOZ8AEYAngwWR1BlcLMxs8B9xwOjACHr1FxTWSwBvhtdsp+Tk8zRClIJbm6ApPtwfehT8/g3LtafgA2AdYyiKbmnYY51yNbkt+7qtY7VJN4vJKsZZl9gilq1KM4pwrIxbZREKhtr+BrsDVqQYqInvB2fvCPwtCs/Vg6CMqnpHLRRM0DYq1GLA2YMDTKccpetPgzrWg/STgOdgpsvJsgFpkZpE9aJH9mnYW51ytXgE+AeYG9k05i8uvEwABz1lkY9IO45wrHxbZh8AByebxiuWjr+rgHrM/H4O9/gbWhvkJq1kVBW+E16yicNYIi+ynVJMUOUnrXgz77AXcB7f0MhuedibnnKtNsnRMn2TzSF/PtTQpVgfC2r3gvVDOuRRYZAOAc5LNGxWrS3ppisf5Zk/eC48A7AS73SLtnHamuvBGeM0qhqIX9WLwaZPUBrgPaPEwPHIMHJt2pixQrGMV6xUv+ORc5vUDXgVuxb83S9VhQBvgQ2Boylmcc+XrYuBBoAVwcspZisYLsPdw+KUVsBU8eIeyP33MJ/5XQ7HaAlsmm94Ib4SL4dlrYPlf4HvgKCu1xekbbgtgE8KIi7dTzuKcq4ZF9huhWJcrQUkRpBOSzWuS0Q/OOVdwFpkp1iHAGIp06a00PGw26zSp60rw/vIw5+fwArBu2rlqUpAr+pKOlTRW0hRJIyWtV8v+e0j6JNn/A0nbFSJnJVsDLYHPCfMBXQPcIF3cCzYZDawLR5vZb2lnypCnkp87pJrCOedcL2AwcH/aQZxz5c0i+8ciuyC3eK9PhardFWYf3AsXTwFegLUlbZZ2pprkvSdc0l6E+VVHASOBk4DBkjqZ2c9V7L8R8ADhC/EpQiGcgZLWMrMP8503x0BCz0cHvyreMOdIa5wIZwKMglGjzJ6q7Tll5llC0b+1FWsRi+zHtAM556qXzBveB/jSIhuSchzXRCyyGYQpU/elncU553IpVnPgIkLRyDNSjpN5p5id00la9jPYG+gnaXUz+zPtXFUpRE/4ycDtZtbXzMYQGuOTmV0ApbITgefM7Aoz+9jMzgXeAY4rQNZ/WWQzLbJXLfKGY0PsKTXrDi8sAPoU/vksLLngciTF/kYlm2mM9nDO1c+JwM3A6WkHcc45VxY2IzS+T1esA9MOUww+gyOBb4Cl5oJr0s5Tnbw2wiW1JCzx9W+REzOblWxvWM3TNuT/F0UZXN3+klpJaldxA9o2OrhrtG3gkU1gvinAs7DnqWZ/pZ0po3xIunPF427C6JWuirVUulH+n3kk3SdpkqSJku5MimJWS9JwSVbpdmulfZaQ9LSkyZJ+lnSFpJKpJ6NY1yjW/3wNeOdcFllkwwg94QC3K9YmaeYpBmY2Cei5LvAOHNpXujDtTFXJd0/4/EBzoPLyXj8BC1XznIXquX8v4I+c2/cNSppDsY5XrJu8anXDxNIu+8KuAAPgoZN8GHpNKv5tuinWnKkmcc7VyCL7hlDsBeDgNLNU4XZgFaAb4aLeZsxeWq225y2cc/u3l19Sc+BpQn2UjYCDgJ7A+U2YOzWKtTShINvVwJIpx3HOueqcBwwgfBYPUqzlU86TeWY2/BQYtSKwE/S6SeqUdqbKSmGplUuA9jm3xZrgNQ8CjgFWbYLXKiuSWq8H/eYCRsLPLcKcfle994FPgeeB+VLO4pyr3V3Jz4OTuXpZ0Q04zMxGmtmrwPHA3pIWqeV5k81sfM5tUs5jWwMrA/ub2Xtm9ixwLnBsMtKt2B1POA963iL7IO0wztWFpHnrO+ol57mS9Gwy6qVHnqO6JmKRzQL2B94E5gWeVawF0k2VfSNh649h6nzQrDO8gLJV3C7fjfAJwEygY6X7OwLjq3nO+Prsb2ZTzWxSxQ1o1OR7xVqIMIQe4LnGvFaZunxPaHsrTB4JW+4Rph+4aiRF/1a2yHpYZD+kncc5V6sBwERgcbJV62Kimb2Vsz0UmAWsX8vz9pM0QdKHki6R1DrnsQ2BD8wsd3TaYKAdode9SsUwTSwZfn5YspnZOYPOVeE+GjbqBUJxZC82XIQsssmEJW3HAssCAxSrFDpT8+Zqsz8egUOmARvDovfAjWlnypXX/3lmNo2w/vG/JyqSmiXbI6p52gj+/4lNtxr2b2rdk59vJYWzXB1J2gE49i/gaNj1BLOP0s5UDJIrnM65ImCRTWF2Fe3qCoymYULuhpnNAH6j+qlcEJbj2h/YgjCq7ADg3pzHq5seVvFYdZp8mlge9CRcHPiEcGHBucyTtBLhPLXeo14kdQZOIVufW64eknbJdsA44Ho/f6zdeWb3PwTDAHaGo69TdqYaF+IKytXA4ZIOSj48bgHmBvoCSOov6ZKc/a8Duks6RdKKknoD61C4qxcVVaqfKdD7lYT/SSscM3t91evMzE9q6kmxllGsyqNAUifpbEmvJ4WZJtbxOZJ0vqRxkv6RNFTyOUyuZNxJ6GVuns+1WyVdWkXhtP/cgAYfV2bWx8wGm9kHZnYfcCCwi6RlGxk9H9PEmkzSe3Rssuknsq6YbEgDRr0kI1zuB441s+pGolZ+TuZHtJQji+xjYDmL7OG0sxSLV2H79+DvdqCN4LlHlI0RBHkPYWYPAacSCrm8B3QGuucMb1uCUAymYv/XCfOIjyDMl90d6FGINcIVaw7CHDjwRnid9Za0LQy7Cdr2Cz0vZ6adqdgo1i3Al8ChaWepQkvgEcIFtLo6nVDw6CjCicHfwGDJi8+54meRvQssbJHtkUwpyZergJVquY1N9p0/94lJBfN5qX7qV1VGJj+XS35WNz2s4rEqNfU0sTzYClgBmATck3IW5+pjIeDn3DvqOOrlGuB1MxtUj/cqhhEtZSkZmg6AYi2mWHukmSfrbjP7ZxDsNRn4HeY/I5ybpq4gy4yY2Y1U05NtZl2quO8Rwkl/oW1IuGo/AXirln1dYl64a2tYZAYwDY43sylpZypCFUWBugMXpxmkMjOLACT1rMv+CoUvTgIurPjCl3QgYRhrD+DBap7XCmiVc5dfdXeZZZH9XPtejXwPs1+AX2raJ+mhAuggaW0zezvZ3pJwoX1k1c+sUufk57jk5wjgbEkLmv37+3YjNF7H1ON1s2Y88BDwnUW+fKZLn6RLCWtBA/xRTf2olRr42jsRPg/WrOdTLyGMZq3QFm+IZ4piLQy8ASykWH9ZZM+mnSmrIrOne0hXD4KTgUslPWNmY9PMlInu+AzpAHwFPGeRzUw5S1HoJXU9KMyt40l49jCz+2t5iqtaRRHADRWrfapJGm9pwhX5oRV3mNkfhMbAhjU8z6+6u6KjWEsmJ0Jpex64XdJ6kjYmXPh+0Mx+BJC0qKRPJK2XbC8r6VxJa0taKjlR7w+8bGajk9ccQmhs3yNpDUnbABcCN5nZ1EL/gk3FIhttke1NznJszqXsKsLUS5KfVY16+YpwAWnB3CfWYdTLloRCXhMlzZA0I7n/MUnDqwtUBCNaXPh//jxhOeiHFau+F1rKyqDwmf8a4YLSXUp5WLo3wnNYZE8QhuEdmXaWYrCnNOeuMLA9MBomzoCd085UrCyyr4DPCKNTtkw5TmNVDImrqqBTTcPlMj2P1LnKFOtCwnDwE1KOAnA4ocjYC4TpVK8SpnVVmAPoBFRUP59GGJY9JHneVcBjhOq7AJjZTEL15ZmEXvF7CQ318/L4exRMnqcSOFdnyaiXz5PNz83skypu0wjHYQf9t7hUbaNeLgVWJ4x0qbgB/A84uEl/EVdQyWfYkcCLQBvC0mWNrelRspLvtJ7tYPKtsMX98ECaebwRXolFZrlzLVz1tofB60KbP8Feh+57mE1PO1ORq+gN717jXk0gGfr2R7L5RzVFn1bMd45cftXdFaF3k5/7Z2DN8N/NbF8za2tm7c3sELPZQ63NbKyZycyGJ9vfmdnmZjafmc1pZsub2emV1gnHzL4xs+3MrLWZLWBmpyZzUIuOYrVWrCsUq1PaWZxrCDP7mHCuUOdRL2Y23sw+zL0lL/etmX2dyi/imoxFNg3YlVBHqyMwJFlu2VXBzL64GAYeCewMe94gbZZWFm+EJxSrY1KYzdVBN2mXPcLalDwJNxxlVp95h65q/zbC81lxOVHXoW8NUTEkrqqCTvUpEuVc1j0F/E4YtdEl3SiuDvYhFIp9pgCfsc7ly37Ub9SLK3EW2R+EDpyvgGUIPeLFPrUxb16CA0bCH62BTWBgWtXSvRE+Wx9ggmLtnnaQrJM0z1C4vgvwEIzeNxThco33EjCVsGJAXnuh6zH0rSG+JjS2u1bckRSPWp8wlM65kmCRTWV2ocGD0sziapY0uo9LNm/xoeiuWJnZb/UZ9VLNa8jMBhYirysMi2w8YYWnnwlzxOdKN1F2PWw261nY9S9gTZhnekqrZHgjHFCsVoS5ce0Iy0S5aiSVr28FFnsTvtgbNsb8ZKYpJNMgzgR2A75NOc6/JC0hqTPh4kBzSZ2TW5ucfT6RtAuAhb+Ha4FzJO0kaTXCPNIfgYGFzu9cnvVPfu6mePYx4TJnI8Jc2CnAXelGcc65pmeRfUmoEbBZ0ih31eht9uJD8DjATrDvDVJNhYPzoiBLlBWBTQjDdsYT1jJ31TgXLhkAe34YCvXsl3v11TWeRXZt2hmqcD7/7eWrmAe7BTA8+e9OhGJqFS4H5iaMMOlAGC7X3ZevcyVoJGFUyfKEeXn9a97dpaSiF/w+i+y3VJM451yeWGQf5W4r1vrAKB/98/+Ngr1Wh1/XhXYbwpO9pQV6F7Bj0XvCg62Tn0P8j7R6J0vrngCnvwUcDn3NbFTamVz+mVnPZOha5dvwnH1kZnfnbJuZnWdmCyVFn7Yys8/SyO9cPiXfGRUN773TzOKqliwhVzHV7KY0szjnXKEo1omEdcR7pxwlk24zm/EM7DkZWBLmezvUDCkYb4QHFY3wwammyLB1pBa7wpD5QWPh752ysSRPSVKsNRWrt2JtlHYW51yd3E0YLbJnyjlc1Y4gjPx7zSJ7t7adnXOuRExNfp6nWMfVuGeZiswG94a+KwNPwVmSFinUe5d9I1yxOjJ7zcShKUbJtCNg4CbQ4R/gFeixg9k/aWcqYUcCEbBX2kGcc7WzyL63yPpb5NNzMmoy8BthKSfnnCsLFtmtzO4Fv0GxfF34KlwBR0yANwnTJ29N6l/lXdk3wgkF2QDetch+TjVJRp0j7X0gbA/wFPQ/zMwvVuRXxYiMvK8X7pxzpc4iu4KwjNxjaWdxzmWPpLslDUzhfYdLujbPb3M+oVguwB2K5dOmKjGzGcAhwPTdYMdb4YZCvK83wsOVj/OAW9IOkkU9pXn3hX5zAqNg3EfQM+1MZeBFYAawgmItk3YY51zdKNYJivWeYq2Zdhb3XxbZPxbZ9LRzOOdcISV1S04mFMptBtyrWDunmyp7zOzDs+DhR4F94JjrlP/v8bKvjm6RfQZckHaOrFoZnlwZWv4Ksz6CLoWsGliuLLI/FOt1YDNgG/wCkXPFYjNgDWAfZq8i4FKiWEsAKwAvWmSz0s7jXDlSrLlreHimRbNXTall31kWzZ4KWdW+FtnfDUv5X5KGA6MJSxoeBkwDbjWz3jmPf5jsfgAwnXCudl6yTCuSxgLXms1e9UbSe8BAM+st6W5gc2BzSScmuyxtZmOryNOdMJKnrVn4LJO0KvABsICZTajp97HITLGOJqwdfgBhGu6guv1rlI8f4dD3YZc1oPX68GxvaeF8tnu8J9xVS9KuvWCjs8CegXMO9urWhfRc8tOHpDtXPO5Pfu6jWP79mr5jgeeBO9IO4lwZ+6uGW+UpIj/XsO+zlfYdW8U+Tekg4G9gfeB04DxJ3So9PgNYDziR0Nt8WD1e/0RgBHA7sHBy+66afdcEPqxogCc6Az/W1gCvkFyIPATY1SKL65GzbPQ1m/ok7D8V2AA6LpPnYellfZKgWFsr1u6KNU/aWbJG0hLAHbOAS+CyA8wuSTtTmalohG+pWHOkmsQ5V1fPAJMI8483STlLWVOslkBFEaIn08zinCtKo80sNrPPzaw/8BbQNefx74D/mdmnZnYfocH2v7q+uJn9Qehhn2xm45PbzGp27wy8X+m+Naq4r+b3jGyGRTagYluxWivWavV5jVJ3jtmAR+AFgB3gmGukTvl6r7JuhAOnAY8Qhma4xDpSi7PhhTlhHsKc+SjtTGXofWACMBNYLuUszrk6SIZVVvTs7JNmFscuwALAOOCplLM4V87a1HDbrdK+C9aw77aV9l2qin2a0uhK2+OSfBXesP8OVR4BLC+peRPngNATXjlPZ+rZCM+lWO0IHT4vK1bnBicrQW/AzmNgyrygtWZ3ijW5sp0TrlitgU2TzSFpZsmaI+HJw2G5XWBWd9jvF7NpaWcqNxbZLMXaAPjGIpuRdh7nXJ3dT+iB3VOxTrTIPz9TcmTy8w4vyOZceuozTztf+zZQ5c8No36dl7OAyktd1Xtko6S5gWXJaXBLakZomN9Z39erlK8ZYVmuoYrV1SJrcKO+lNxo9vcl0tGdoO/msNQZ0tGXmTV5faZy7gnfFGhFGE7yacpZMiOSDj0wmYf8NfT/xezztDOVK4vsS2+AO1d0hgE/AfMC3WrZ1+WBYq0AbEE4yfT54M65fFi/0vYGwOc5Q8p/IczzBkBSO2DpSs+ZBtTWc740ob32Sc592wDz0YiecIvsL8Lyw28mr/WCYq3R0NcrNb3M7u4Dr24NXA6nS2rqkRZl3QjfOvk5JCnfX/aOkJY4EG5tBYyAb3cPBRxcyhRLXuTJueJgkc0E7gIeIjTGXeEdkfx81iL7NtUkzrlStYSkqyV1krQPcDxwXc7jLwIHSNpU0mpAP8IUw1xjgfUlLSVp/qSHu7JfCb3w6wJI2gC4kVC5vVEFky2yPwjtoVGEhviLPjR9tmNg2+fhW8LUhyZfSaucT+z/bYSnmiIjJGlneHVZaDEOZnwMm+DLkaVOsXoDXwE7pBzFOVdHFtlZFtneFtlbaWcpU+slP29LNYVzrpT1Jyz5NQq4idAA75Pz+CXAS4SaFE8DA4EvK73GlYSG+RhCz/kSld/EzMYB5wL3SvoGOIpQz+rDGgq51ZlFNpHQJhpJGMH1guL8r5FdDMzsL5KpTYvBiRdJ+zfl65flnHDFWhRYlXBl6YWU42TCdXDX9rD4TOA5OPIQs+qWSXCFtSDhCtxWwBPpRnHOuaKwObAx8EbaQZxz2WdmPSttd6linx6V7ppuZicBR1fzmpOAvSvd3a/SPp8BG9Yh30XARbXt11AW2R+KtQ2hCNnyhKk8DjCz5/aWnu8D3X6FO2+UBh1n9mdTvHa59oRvlPx8yyL7NdUkGbCktNbO0BPgKXjuYLO7Uo7kZns++elzS50rMoq1smIdWKC3m0fSfZImSZoo6c6a5rAlwx+tmtseOftV9XjlE8tMscjMInvVa2o451zdJEPTtwE29wJt/7UEHDUZZi0NLRdrwtU2yrIRbpE9QuhdPCblKKmT1PpbuHcT4B74qr0Pe86a4YQrkisq1mIpZ3HO1ZFiLQt8BNypWPMV4C1vB1YhXLDbAdiM/w6NrOw7QtGg3FsE/AU8W2nfgyvtN7AJczcZxZo3WfnEOedcPVlkkyyyjyq2FWtzxdo4zUxZcLnZVw/DtQATYZNW0kpN8bpl2QgHsMi+8fl6QPijWul7GHcgbNClCeaXuKZjkf0OVPyddk0zi3Ou7iyyL4F3CdO+di/AW3YDDjOzkWb2KqFI0N6SFqkyn9lMMxufeyOsrf1wMg8u18RK+07J76/SYOcAPyrWYWkHcc6VLjPrkgxFL1lJpfSngCGKtVXaedJ2IpzaFV49GL6fFubON1rZNsIdXC5dsRMcTpgbv7+Z/ZJ2JlclH5LuXHG6P/m5bwHea6LZfy4sDyWMoqm8jE6VJK0NdKbqdWdvkjRB0ihJh0iqvPZt5ddqJaldxQ1oW7dfoeEUqxVwENAeGJfv93POuRL3OfAa0Bp4WrF2TDlPqszMXoTdgFXN7LWmeE1vhJepXlK3w+HUQcDp8FD423IZNTT5uZXimk9+nXOZ8iDhIudmirV4nt9rQu6Gmc0AfgMWquPzDwU+NrPXK91/HrAn4SLgY8DNhF72mvQC/si5fV/HDI2xM6F34ntCcSHnnHMNZJFNJnyuDgBaAo8rznY9kHwzs5+tiYqygTfCy9IJ0rz7whPzAB/AH+uG+X4uu0YA7xGWpPD5js4VCYvse+DlZLPeJy+SLq2heJpJMkIl20aRNBeht/7/9YKb2QVm9pqZvWtmlwGXA6fV8pKXEHqkK26FqGdxaPLz7mStduecc41gkU0lXIS9lzC16n7FOrTmZ7m6KsslysqZJA2EEavBnL/CrNdhyyOzO7/P8e+HoK/Z6FxxepCwZNaewBX1fO5VwN217FMxjWj+3DsltSD0DI+vw/vsTrjA178O+44EzpXUysymVrVDcv+/j9Uyer3RFGsJZk/X6ZvXN3POuTJikc1QrIMIRTuPAu5QrB8tssoFPF09eSO8zNwIt+0MK8wCBsEZR5q9k3Ym55wrYY8DNwHLKda8FtlvdX1iUqejxlodyZxrgA6S1jazt5PtLQmj3UbW4a0OBZ6oY12QzsDv1TXAU9ITEDDMIvsq5SzOOVdSLLJZinUMoSG+CrOnSbpG8OHoZSSWdjkoFGLjSXjxELMr087k6k6xWirWZorVMu0szrm6sch+BjYFFqpPA7wBngdul7SepI2BG4EHzexHAEmLSvpE0nq5T5K0HGE5szsqv6CkHSUdJmlVSctJOho4C7ghj79HvSR1Mnomm3elGMU550qWRWbA6cDOFtl0AMVqrlhzpJuseHkjvEwkvSW3twHegl9/gm3SzuTqLjnR/AR4Cdgg5TjOuXqwyF5PppXk0+GEz4gXgGeAV4Ejch6fA+jE/68rcQihmNmQKl5zOnAss+tSHAmcDMRNmLtRkhPDbYALCaMOnCtpkuaVdJ+kSZImSrpTUps6PG9DSS9K+jt57stJPQjn6sQis5wG+P+1d+fhclTlvse/vwQSBEIAlSAiNwoIiKIyiFEQGRQUZHAWuAyKgFdE9Ciao1IWoKBMUeLhCHIMCIgikyCSY5CoCAaJCoRJMARBCIQhgQgkBN77x6pOms3uvXf33t3Vw+/zPPV0uobutyt7dde7ag0itfK6TLlWKzeyzqSIKDuGEVUkm4uA8RHxZNnxtINiOplfAB/cDx59G2x/ZMSdZcdl9VGun5H6lX4zshj2RXC7l5V2j8+sXsVFy8qRxdIRe80OKCedEKNZ2YZaTiT9GngVqVJsZdI4CH+OiJpTIUqaRJo14ATgCmAZ8Gbg8qF2LXE5tmrK9XpS5ezLSN2edo8sHis1qDZQTzlp6p3wRmrrJM3sZwTY/25mnN1uFHwV+CDw3PnwASfgHeva4nHHUqMws7op1yeBe4CjSg7FzDqUpM2A3YBDImJWRFxHmjLw45LWG+DQ04DvR8SJEXFbRNwVET8fKAGXNFbSGpUFGDeiH8Y6WmTxd2Bn4AlgW+A65ZpYalAdptnN0c8ndeB/D7AHqd/ZmUM47ixSLV9lObpZAXa770mTZ8C310lPj4iIP5UbkQ1DJQmfpNxNyMw6zMrA60itWWwEKNenleti5XpX2bGYtcgkYGFE3FS1bgbwAikReglJ6xTbHpF0vaSHJf1O0naDvNdk0h29yvLAsKO3ys3GKbWelxVHIyKLG4DtSH8bmwKzlL943BGrrWlJ+DBq6wCejoj5VctAzXJcU1fDt6QdD4Bv7QhMhVsiYigVINa+/g48BIwh/RCbWee4lHShvJVyva7sYLrEYaRWXluWHYhZi6wLPFK9IiKWAY8X2/pT+b75Jukm127AX4BrJG08wHudAIyvWtZvOOo2J2laVevbpZLukXRMMdVjs30Q+MZQdiwrYR9IZHE76Zr0ZmAdYKZy7VVuVJ2hmXfC666tq7KfpEclzZF0gqS+A8lUc01dP74hrfNhuGot0BxYPC+NzmsdrBiAyE3SzTpQMUp6pfx+pMxYuoFyvRnYijR43Hklh2M2LJJOJF3DAizqp1tmSNq0wZevXOv/MCJ+HBF/jYgvAHeRBmbsV0QsiYgnKwvwVIPv3ymuJrW+3Rg4hVRp8eX+dpRGbpaaiHg8Ijr63EYWD5DyjKuAsaTvZRtEM5PwRmrrAC4A9iclGScA/5eBf2B7pqZuqL4paSeYvQms8gi8cDW8+8seRKNbtDwJl/S1ognb05IWDvGYaf1cQFzd5FDN2t1FxaOT8OGrJA+XRxaPlhqJ2fCdAmxd/HtrYLN+lrnAfNLdxuWKu7VrF9v681DxeHuf9XcAGww38FqUrFbCogZDXlK0vr0vIs4g3Tjcs/gsMyVNlTRF0qPA9GL9KEmTJd0r6RlJN0v6cNU5WE3SuZIWS3pI0n/0c576Nk8fJeno4m78Ekn/LK7DpgE7AJ+vuq6aOFJx9EfSI5IO6bNuG0nPSnpt9frI4ilgL2CnyOKqobx+r6u7mUVRW/eVQXbbrLFwoE+T6VslPURqMrNhRPyjn/2XAMsHlmi87HWPTeFXO8L6S4Gfwme/FDG77JhsxEwnDbR3TQvfcwwpebgB+FQdx10NHFz1vNlTNJm1u0uA/6Jokh5ZzC07oE6kXGNJlfXgucGtC0TEAkmV38i7a3XDlHQDsKakrWLFtd1OpJtqs2q8/DzgQdIUhdVeD/x6WIEPbFVgcRNfv5bVgX+PwOs8A7y86vmBwBnAO6vWTSZ9Fx0O3E0a++o8SQsi4nfASaTEeS/Sjclvk7rP/G2A9z2BNOXkF0hTTb6K1N96Kun/bA5wTLHvgibGAXAr8IY+675DalVxb9+dI4tlpKl0AVCuDYEMOCIy3wzsq5G+DqcA0wbZp9Hauv5UvlQ2Al6ShNuLnSF97TB4H8AFcMHnIzyyfBeJLO4nfQG27j0jMgBJB9V56JKIGHJZlzSW1IypwuM7WFeJLBYo17WkEWU/QovLchfZi3Qt8S/6n9/crCtFxB1Fq7KzJB1OGvBxKnBhRDwIIOnVpIr6AyLixogISScBuaSbSYnXgaTE7sP9vU8vK+6k7wzsCpxetenuiDi6ar+xwH8Cu0TEDcXquUoD3h0maTbpxsX+EXFNccyBDNBtVtI44POkgZTPKVb/g5SMI2kpxbhZzYyjyhyqknBJu5Jaagw6wKhyjSLdwHkrsLVy7RlZ3DOE9+wZdSfhEbGAFTUvNTVYW9eftxSPDw20k4GkzTeGr+4EzIU7D4b9Dyo7KOtl75b0CGn6it8CX48YcA7JyaQaU7Nu9j+ki6qZJcfRySpN0adFFs+XGolZ6+1HSryvIY2zdDFwZNX2lUl3vZePpxQRUyStQpqqbG3SIFrv6a+F6Qh6mnRXutWebvC4PSQtJp2/UaTusd+s2t63VelGpHP8mz6tcMcAfwU2LP69POeJiMcl3TVADJuRbkbU09qxGXFU3ArsA8srJ04ATooYvAtQZPGCch0KXEb6XDcq10cjixlD+VC9oGmj/jVSWydpQ2BfUsf+x4AtSF8Yv4+IW5oVazdQmoLiyrth9e3h+iPgvRERZcdlI0+5xpH6KU2MLL5Vdjw1XE1qensv6Qfg28CvJU2KqHnRfAJwatXzcXigResykcUFpIs7a9yVpJZ25wy2o1m3iYjHSdfKtbbPA17SNzMiTgRObF5kL3m/YGSahbfKtcBngKXAg8U4VtX6fpZKBcPupFY51ZaQKjvq9UwDxzQjjoo5wPqSVgc+QGoaf+rAh6wQWdykXNuQrgffDlytXF8ETi8GG+5pzZ4nfD/gTlKifRWpOcWhVdv71tYtBXYhNS+7k9T0/WLSf7zVcIa09u7pTuNE4J4FsOcxEZ30xWf1WYs0WGFeJOR1U3NHYiUiLoyIX0bErRFxGbAHsA3w7gGO6bWRWM2sAZHF1Mhiy8ji7rJjMbOu8e+IuCci/tlPAt6f20lJ7gbFcdXL/aQWT89RNSOUpLVI/bpruZuUiO9cY/tSYHQL4qiYUzxuARwHHBt15heRxUOkwYTPKWL/HvCjYmyPntbU+e/qra0r/lh2aGZM3WamNHoLuPlQWP8z8PRZsMcgTX6tw0UW/1SuuaS5PytTQtTrFFJfnZtI/Xv6+1IdsUGjImJuMaLoRrR2UDmztlP0ldsW2D6y+G7Z8ZiZWX0i4ilJJwOnSRpFutE4njRw25MRcY6ks4GTJD1GGhDtW6QuBLVe81lJ3wG+W/T//iPwSmDziDibNMjetsWo6IuBx5sRR1U8iyXdR7pmfIE0z3zdIotnletgUjeIkxnGAN7dpBWT0FsTPQ1/eD+s/yywIXwlIobSx8M637WkJHxHGkjChzoS60iRtD5plFGP7WCWmgf+ARitXBdH1tR+mV1DuTYDJgG/8Ei7ZtYGvkEaJ2sy6ZpsIfAXUhc8SPOMrw5cQWrddwopQR7IccAy4FhgPdJ1U2WQ5ZNJd5RvB14GvJaUmDcjjopbSS2SPzrEFgL9Kpqfn6Zcc4BbI4uenzFH3dZtWNIapGa245udWJTtYumiDxUjW06FM4+IOKzsmKw1lGs/UpP02ZHF1oPt3+9rDLGsSNqAlDTsSfoi377YdE9ELC72uROYHBGXFn2HMlJXkvmkPuHfJfXxflMxreCIxWfWiZTrN6TuV0dHFic1/DodUE5GKkblOg04CvhpZFGzlZ1ZJ2r3stzu8VlnUr68e+R3IotB7863u3rKSbP7hFuTXCBNqSTg02CGE/Cec23xuKVyrdXk9zqWNMJmTqpJ/WuxVCf/m7CiVvV5Uv+hXwJ/B84mjSq6/VATcLMecEnx+MFSo+gQyrUyK7q3nV9mLGZmNnzKtTXwFdId+0uVa81yI2otJ+Ed6Fzp6I+meQS5CG45GN5bdkzWWpHFg6QEV8C7mvpeEQdFhPpZZlbto4iYVvz7mYjYNSLWiYgxETExIg6NiIebGadZh7m8eHy7cq1XaiSd4b2kEdEfwXODm5l1vMjiJuDTpIHl9gRmK9dby42qdZyEdxhJb3wCjl0JuAruvwi29lRkPatyN3yLUqMws7oVFWk3FE/3KjOWDnFg8XhBZPFcqZGYmdmIiCx+RBpEbh6pP/uflOtI5XrJNHvdxkl4B5H0OuDqo2DsEXDXT2Hzn4cvRnrYt4BXRRbHlR2ImTXk0uLRTdIHUHS52bN4em6ZsZiZ2ciKLGYDW5EGjhtDmsbsnFKDagEn4R3idOldY9Nc4K8GbvsBTPpJhOdR7mGRxf2Rxfyy4zCzhlWS8E08Z+qAPgKMJY3S+7dyQzEzs5EWWTxOahV2JGk+9CvKjaj5nIR3gPOkHT8Bv70E/s/L4G7gPRHxRNlxmZlZ4yKLe0gDHE4cgelaviTpeklPS1o4lAOUHCvpIUnPSJohaeM++6wt6XxJT0paKOnsYgaEVtoECODcYpobMzPrMpFFRBanAxtFFhdV1ivXJsrVddNqOwlvc+dL2+8Kv3kFjH4NLPkE7BURnmvZAFCu3ZVrunJ9vexYzKx+kcXsEZqWZWXgIuCMOo45mnTX4XBgW+DfwHRJq1Ttcz6wOfAeYA/SQJBnjkC8QxZZ/AewAWmmBTMz62KRxf2VfyvXusDvgeuU6/XlRTXynIS3sZ9Jk3aB374SRt8GS78P25wdcUfZcVlbeQVp1OD3lR2ImTVOuUYNs6b/hIg4jdRke/D3k0Sac/v4iLg8Im4BDgDWA/Yu9tkM2A04JCJmRcR1wOeAj0utHdE9snggMrcAMzPrMZuTuiNtC/xNuY5Qrq7IX7viQ3Sjn0m77wJ/mAAr3Q7PfQ8mnRUxpIsr6ym/Lx63Ua5VS43EzBqiXMcA/2LF4GOt8FpgXWBGZUVELAJmAZOKVZOAhRFxU9VxM4AXSBdE/ZI0VtIalQUY10iARcXEqxo51szMOl9kcQ3wJtJvz8uA04HpyvWaUgMbAU7C29CF0v7vgyteDqNvgaWnwnZnRvyl7LisLc0DHiA1Ra15UWxmbW0NUkLcylHS1y0eH+6z/uGqbeuS5uVeLiKWAY9X7dOfycCiquWBBmPcDnhAuX7e4PFmZtbhiubpu5JaYj0D7ALcqlz7lxrYMDkJbzOStpkCUwX6Ezz9HdjiRxE3lh2XtadikKLK3fB3lRmLmTWsMkr6Hso1prJS0omSYqAF2Lj/lyzVCcD4qmX9Bl9nf9J1yuIRisvMzDpQZPFCZDEVeCtwI+m3ZbtyoxoeJ+FtRNJOwG9nwfj3wZyT4fXnR9xVdlzW9pyEm3W2G4D5pIuKHavWnwJsNsgyr8H3rExvOKHP+glV2+YD61RvlLQSsHbVPi8REUsi4snKAtQ9nWYxZdtHiqfn1Xu8mdlQDFbRKembbRDjTElTyo6jHUQWdwHvBL4EfKWyXrnW6rS+4h0VbNeSNF26dDuYDqwO/PaP8I5fRPyr7NCsI1SS8EnVd9HMrDMUo6NfXjzdZ/n6iAURcedAC/Bcg297LymR3rmyoui/vS2pUoDicU1JW1UdtxPp2mFWg+87VLsBawIPAr9r8nuZWe96VdVyFPBkn3Un1/uCkq/FmimyWBZZnBJZLAJQLgE/B/6gXJuVG93QOQkv2S3Sqn+C23eFvS+BldZNzRJ3j4i67xxYz7qTdEF9HWm0dDPrPJUm6Xsr1+gGjl9f0ltIU3mNlvSWYlk+p7ekOyXtAxARAUwBvi5pT0lvAs4lJb2XFfvcAVwNnCXpbZLeCUwFLoyIBxv5kHXYr3i8MLJ4vsnvZWbNIq02wLJKHfu+bNB9GxAR8ysLaQyLqF4XEYsl7SbpOkkLJT0m6UpJG64IRTMlTZU0RdKjpJtqSBon6XxJ/5b0kKQv9L2rLWmUpMmS7pX0jKSbJX24avs0YAfg81V35ye+9DTrEUmH9Fm3jaRnJb22kXPTQV4PvB14B2kE9WOU9/nbakNOwkt0qbTFGPjX22HT54Bz4Jfz4cMR8WzZsVnnKPqFbxhZvDeypl8Ym1lzXEu6AJxAupio19eAvwI5qUXVX4tl66p9NiE1ea/4Lmmk2TOBPxfH7dbnN2g/UkXfNcBVpMq+QxuIb8iUaw3gA8XT85v5XmbWdIsHWC7us+8jA+z76z77zutnn2ZZDTiV9H26M2mGiEulFzV/PhBYSmoqfXix7tTi+Z7Ae4DtgS37vPZk0vSQh5Om4zoNOE/SDsX2z5NaJZ3Firvz9/NStwJv6LPuO8API+LeOj5rxymaqL8B+BUwhvQ7OEe53l9qYIMYzpykNgwXSZ/dBb6/Fox6DJgCxx8X8Y0vlR2YdaQiETezDhVZLFWuM4DRDNDfegCfiYj9BtohItTneQDHFEutYx4H9m0gnuHYB1gFuItUkWBmVpqIeFFlgaRPAgtIid+cYvXdEXF01T7jSIn5vhFxTbHuYFJro8o+Y4H/BHaJiEo3oLmStgMOA34XEYskLQWeLu7W1zKHqiRc0q6kSoOPNvCRO05kcb9yfYD0eU8DNgR+pVy/BD4ZWTxWaoD9cBLeYt+UNAmu+hDsNgr4Gyw5Ez74XxFXlR2bdT7lmgA86uabZp0nsphcdgxt4pfAp4FnXMFo1vFWH2Bb32uVdfrdK3mhz/OJDUXTAEkbA8eSxsx4BStaEm/AiiR8dp/DXkeaPnb5DEdFQl094PJGwKrAb6QX1ZGOof4KyFspxhRRerETgJMi4tE6X6djFb8XP1Ouq0iVy0eRzvGTZcZVi5PwFpK0HnD2/xQJ+C/gvmmw7ZURfedpNaubcs0C3gZsBXheeTPrSJHFE8CPyo7DzEZAxL9L33f4rgDuI1UOPkhKwueQkuWKRuKpVFDsDvQdjHlJna81hzQ2yOqk7jyvIjWH7zmRxVPAl5Xrx8BqkcVzAEU/8T2Ai9uhgtdJeAvMllY6OPWhOw5Y+yh49n44L4PDIqJvzZ5Zoyq1ne/CSbhZRyqm5toRUGTRtw+kmZm1kKSXk8bT+HRE/KFYN5T5qeeSZq/YBvhncdx40iBilVltbicl2xtExECzQCwldVUaSOWO/BakfOPYaG1FRduJLG7vs+pzpLFQblSuL0WW/j/L4oHZmuxs6WOrwxMnwQ9Ic6vOfhK2PCbi007AbYRVvsB3GHAvM2tn+5MGIDq27EDKoFxnKteRyjV+8L3NzJruCeAx4FBJG0naiSHcYS5mOToHOEnSjpI2B84mNauPqn1OBk6TdKCkDSVtKelzkg6serl5wLaSJkp6RZ8B4Srvt5h0t/6U4j3OGsZn7lbPkVosvA34vXJdolyvLysYJ+FNcrq09TXSHQfDhZvA6tsA70yjFE4qpn0xG2mVmtXtlb/0C9rMOsKVpAu0rZXr1WUH00rKtRGpuedppIHZzKwPSWsX0149WUyZdXb1VIQ1jllX0k8kzS+my/qLpA+1KuZOVtww+zipq98c0vfTl4d4+BdJI5tfCcwA/gjcAVTPQPEN0p3rycW2q0nN06tHND+Z1H/+dtKAcBvUeL9bSbNrfC0ilg0xxp4RWUwh9RH/IamiYh/gNuU6Q7nWb3U8bo4+wo6XtngjnPVpeFvlCuLX8MB02Ou6CDcRtmb6C/AMUGk65coesw4TWTysXH8CJpH69f13ySG10ieKxxmReawUsxrOJ/X3fQ9p4K8fk6YZHGgWg3OBNUlTZT1a7PtzSVtHhGcgKETENGBaP+tn8NLpv1S1/d01Xu8p0jSP6YA0l3lG+v+q7BPA94qlVlx/J/0mDBb/noPt0+sii/nA4cp1Ounm6O6k6eHWIlW2tIzvlo0AJVvtLl35Zbh57yIB/zM8eTx85n0Rr5niBNyaLLJYCswqng6lv5KZtafLi8e9So2ihZRLrLhYvaDMWMzalaTNgN2AQyJiVkRcR+rn+vFi8N9a3gGcHhE3RsTciDgeWEi6u2tNIumtkj5RaWZOqkCBFd/xVpLI4rbIYg9SF86ZwPGVbco1Qble2ewYejIJl7RGMTjCcF5D+0pv/5R0FnAbcNN02P1B4GZ46nTIfwVrfj2il+5iWPmuKx6dhJt1rl8Wjzsp17hSI2mdt5Ja8DwLXFpyLGbtahKwMCJuqlo3g9S0dtsBjrse+FjRlH2UpI+TunzMrHWApLHF9fIaktYAeuW7aKR9CbiZ9P+0GrB9L00b1u4ii99HFjtGFnOqVn8LuFe5TmlmM/VebY6+33vhB9dIT90Gt9wKV/0Grr0P7oqIJ/ruLEmrwoRdYLs3wg4bw7tnwyZvgZUXkEZdeB6WPA+XfA6mXRnxv29u+UcyA1JfognAr8oOxMwadidwN7AxsCvwi3LDaYlKU9orIou2nNPVrA2sCzxSvSIilkl6vNhWy0eBn5EGGFsGPA3sExH3DHDMZFLTaWtQ0dTfrQ06iHKtBGxOqjD5IvA55foJcFJkcedIvlevJuGb7AbaGdbYOd0x3O4F0vwBv5OefxaWHQIPP5C+qMYfA2t9Hkat3c8LLYInd4L8N3B2RCxq6acw6yOy+CNp4A8z61CRRSjX5aQ7KNvR5Um4co1mRX9wN0W3niPpROArxdNFkvrbbbNhvMVxpD7hu5D6hO9N6hO+fUTcWuOYE3jxKODjgAeGEYNZ24sslinXO0gV4F8lNVf/JHCwcl0GZJHVLDN16ckkPCKOulS6ZDocsi5svyG8ZnUYPRGYmObhG03VyIOrkeYWWwY8CIv/BfMWwK9eDme9M+If/1vGhzAzs242ldTQ6rayA2mBtYA/k0b19dzo1otOAS4CbgK2Jk2j1NdcYD6wTvVKSSuRLlPn9/fCkjYEjgDeGBGV75ObJW0PfJY0KNVLRMQS0hzWldep4+OYda7IIkgtS69WrkmkCrK9SKOpn0UahX7YejIJB9gn4vdUpnRK3yzrzIM3PQxvWgZrrJb6yTwHLFwT1ngAlq0PczaIeLbWvABmZmYjIbK4r+wYWiWyeBTYW7nGRhZLBj3ArMtExAJJlb/9uyP675Ih6QZgTUlbRcTsYvVOpDGeZvV3DLBq8fhCn/XP06NjQ5kNVWRxA+n36Q2kblNXj9RrK42M3z2KwSMWAeNrfYmZWfuXlXaPz6wddEI56YQYzco21HIi6deksV8OZ8UUZTdFxL7F9lcD1wAHRMSNklYmzS/9EKmLy2Ok5ugnAXtExFUjGZ9ZL6unnDStBkzS1yRdL+lpSQuHeIwkHSvpIUnPSJohaeNmxWhmZmZm1kH2Iw3eeA1wFWlWlEOrtq9MmmlgVYCIeA54P7AAuAK4BTgAOHCoCbiZjbxmNkMZQ+rfckYdxxwNHEmq3duW1CdmuqRVRj48MxuMpImSzpZ0b1Ex9g9JuaQxgxy3iqQfSHpM0mJJF0ua0Kq4zczMulFEPB4R+0bEuIgYHxGfjIjFVdvnRYQiYmbVursj4kMRMSEiVouIN0fET0r5AGYGNLFPeERkAJIOGsr+Sv2yjwKOj4jLi3UHAA+Tms1c2Iw4zWxAm5Iq6w4D7gHeSBqUYjVSs7ZaTgN2Bz5CapYzFbgEeGczgzUzMzMza3ftNDDba0lzHM6orIiIRZJmAZOokYRLGguMrVo1rplBmvWSiLiaFw9CMVfSJsBnqJGESxoPfArYNyJ+W6w7GLhD0tsj4k81jnNZNjMzM7Ou106jIq5bPD7cZ/3DVdv6M5l0p62yeA5Ds+YaDzw+wPatSH3SqivU7gT+SapQq8Vl2czMzMy6Xl1JuKQTJcUgy6bNCraGE0hJQWVZv8Xvb9YzJG0EfA744QC7rQssjYiFfdYPVqHmsmxmZmZmXa/e5uinANMG2WduY6Ewv3icQJpGgarnf6t1UEQsAZbPK5q6lpvZQCSdCHyleLqoRrnZrLiDXTnm1aSm6RdFxFkjHZPLspmZmZn1grqS8IhYQJrioBnuJSXiO1Mk3cVca9tS3wjrFeN8EW9W0w9JU5v8DtiaNBNBX8sr1CStB1wLXM+Lp0Lpz3xgjKQ1+9wNn8CKyrZ6uCyb1dZJYye4LJvV1ill2eXYrLYhl+OmDcwmaQNgbWADYLSktxSb7qlMpSDpTmByRFwaESFpCvB1SXeTkvLjgAeBy+p468qHd39Ss6GZHxH/qrWxuAN+LTAbODgiXhjk9WYDz5Eq1C4uXmMT0nfBDXXE5bJsNnTjgCfLDqIGl2WzoWvXsuxybDZ0g5ZjRURT3lnSNODAfjbtWJm7UFKQLuqnFc8F5KQ7bWsC1wH/LyL+Xsf7ClgPeGqQXceRvkjWH8K+Njw+161Vz/keBzwYNb4IigR8JnAfqTw/X9kWEfOr9rkGOCAibizWnQG8HziI9CV0enHMO4b6IYZYlv231Vo+36011PM9YDkum8tyW/L5bq2OL8sux23J57u1RrQcNy0Jb3dFU/dFwPiIaMcax67hc91aI3m+JR0E/Li/bRGhYp+JpJYr1RVsq5DGkPgEadqx6aQKtUaaow8Un/+2Wsjnu7V66Xz30mdtBz7frdUr57tXPme78PlurZE+3+00T7iZtZmilcq0QfaZB6jPumeBzxaLmZmZmZkV2mmecDMzMzMzM7Ou1stJ+BJS//Mlg+1ow+Zz3Vq9dL576bO2A5/v1uql891Ln7Ud+Hy3Vq+c7175nO3C57u1RvR892yfcDMzMzMzM7NW6+U74WZmZmZmZmYt5STczMzMzMzMrEWchJuZmZmZmZm1iJNwMzMzMzMzsxZxEm5mZmZmZmbWIk7CAUlfk3S9pKclLSw7nm4j6bOS5kl6VtIsSW8rO6ZuJOldkq6Q9KCkkLR32TG1kstx87kst4bLsstyM7kct47LsstyM7kst0azyrGT8GQMcBFwRtmBdBtJHwNOJc2rtyVwMzBd0jqlBtadViOd38+WHUhJXI6byGW5pVyWXZabwuW45VyWXZabwmW5pZpSjj1PeBVJBwFTImLNkkPpGpJmAX+OiCOK56OA+4HTI+LEUoPrYpIC2CciLis7llZzOW4Ol+VyuCy7LI8kl+PyuCy7LI8kl+VyjGQ59p1waxpJY4CtgBmVdRHxQvF8UllxmVl9XJbNOp/LsVl3cFnuDk7CrZleAYwGHu6z/mFg3daHY2YNclk263wux2bdwWW5C3RtEi7pxKLz/EDLpmXHaWa1uRybdQeXZbPu4LJsNjJWKjuAJjoFmDbIPnNbEEcvexR4HpjQZ/0EYH7rw7EO5HLcHlyWbbhclsvncmwjwWW5fC7LXaBrk/CIWAAsKDuOXhYRSyXNBnYGLoPlA0fsDEwtMTTrEC7H7cFl2YbLZbl8Lsc2ElyWy+ey3B26Ngmvh6QNgLWBDYDRkt5SbLonIhaXFlh3OBU4R9JNwI3AUaSh/n9cZlDdSNLqwEZVq15b/C0/HhH/LCeq1nE5bjqX5RZxWXZZbiKX4xZyWXZZbiKX5RZpVjn2FGWApGnAgf1s2jEiZrY2mu4j6Qjgy6TBIv4GHBkRs0oNqgtJejdwbT+bzomIg1oaTAlcjpvPZbk1XJZdlpvJ5bh1XJZdlpvJZbk1mlWOnYSbmZmZmZmZtUjXjo5uZmZmZmZm1m6chJuZmZmZmZm1iJNwMzMzMzMzsxZxEm5mZmZmZmbWIk7CzczMzMzMzFrESbiZmZmZmZlZizgJNzMzMzMzM2sRJ+FmZmZmZmZmLeIk3MzMzMzMzKxFnISbmZmZmZmZtYiTcDMzMzMzM7MW+f8cXpdCZI7ZfQAAAABJRU5ErkJggg==", + "text/plain": [ + "
" + ] }, "metadata": { "needs_background": "light" @@ -305,8 +307,8 @@ " # Plot functions\n", " v_pred = v_pred.reshape(y.shape).detach()\n", " axs[i].plot(y, u(y), \"g--\", label=\"Input $u$\")\n", - " axs[i].plot(y, v_exact, \"k-\", label=\"Target $v$\")\n", - " axs[i].plot(y, v_pred, \"r--\", label=\"Predicted $v$\")\n", + " axs[i].plot(y, v_pred, \"k-\", label=\"Predicted $v$\")\n", + " axs[i].plot(y, v_exact, \"r--\", label=\"Target $v$\")\n", "plt.legend()\n", "plt.show()" ] diff --git a/src/continuity/pde/__init__.py b/src/continuity/pde/__init__.py index 14409714..9d6f0ac5 100644 --- a/src/continuity/pde/__init__.py +++ b/src/continuity/pde/__init__.py @@ -10,6 +10,16 @@ from abc import abstractmethod from continuity.operators.operator import Operator +from .grad import Grad, grad, Div, div + +__all__ = [ + "PDE", + "PhysicsInformedLoss", + "Grad", + "Div", + "grad", + "div", +] class PDE: diff --git a/src/continuity/pde/grad.py b/src/continuity/pde/grad.py new file mode 100644 index 00000000..ff66c005 --- /dev/null +++ b/src/continuity/pde/grad.py @@ -0,0 +1,115 @@ +""" +`continuity.pde.grad` + +Functional gradients in Continuity. + +Derivatives are function operators, so it is natural to define them as operators +within Continuity. + +The following gradients define several derivation operators (e.g., grad, div) +that simplify the definition of PDEs in physics-informed losses. +""" + +import torch +from torch import Tensor +from typing import Optional, Callable +from continuity.operators.operator import Operator + + +class Grad(Operator): + """Gradient operator. + + The gradient is a function operator that maps a function to its gradient. + """ + + def forward(self, x: Tensor, u: Tensor, y: Optional[Tensor] = None) -> Tensor: + """Forward pass through the operator. + + Args: + x: Tensor of sensor positions of shape (batch_size, num_sensors, input_coordinate_dim) + u: Tensor of sensor values of shape (batch_size, num_sensors, input_channels) + y: Tensor of evaluation positions of shape (batch_size, y_size, output_coordinate_dim) + + Returns: + Tensor of evaluations of the mapped function of shape (batch_size, y_size, output_channels) + """ + if y is not None: + assert torch.equal(x, y), "x and y must be equal for gradient operator" + + assert x.requires_grad, "x must require gradients for gradient operator" + + # Compute gradients + gradients = torch.autograd.grad( + u, + x, + grad_outputs=torch.ones_like(u), + create_graph=True, + retain_graph=True, + )[0] + + return gradients + + +def grad(u: Callable[[Tensor], Tensor]) -> Callable[[Tensor], Tensor]: + """Compute the gradient of a function. + + Example: + Computing the gradient of the output function of an operator: + ```python + v = lambda y: operator(x, u, y) + g = grad(v)(y) + ``` + + Args: + u: Function to compute the gradient of. + + Returns: + Function that computes the gradient of the input function. + """ + return lambda x: Grad()(x, u(x)) + + +class Div(Operator): + """Divergence operator. + + The divergence is a function operator that maps a function to its divergence. + """ + + def forward(self, x: Tensor, u: Tensor, y: Optional[Tensor] = None) -> Tensor: + """Forward pass through the operator. + + Args: + x: Tensor of sensor positions of shape (batch_size, num_sensors, input_coordinate_dim) + u: Tensor of sensor values of shape (batch_size, num_sensors, input_channels) + y: Tensor of evaluation positions of shape (batch_size, y_size, output_coordinate_dim) + + Returns: + Tensor of evaluations of the mapped function of shape (batch_size, y_size, output_channels) + """ + if y is not None: + assert torch.equal(x, y), "x and y must be equal for divergence operator" + + assert x.requires_grad, "x must require gradients for divergence operator" + + # Compute divergence + gradients = Grad()(x, u) + return torch.sum(gradients, dim=-1, keepdim=True) + + +def div(u: Callable[[Tensor], Tensor]) -> Callable[[Tensor], Tensor]: + """Compute the divergence of a function. + + Example: + Computing the divergence of the output function of an operator: + ```python + v = lambda y: operator(x, u, y) + d = div(v)(y) + ``` + + Args: + u: Function to compute the divergence of. + + Returns: + Function that computes the divergence of the input function. + """ + return lambda x: Div()(x, u(x)) diff --git a/tests/pde/test_grad.py b/tests/pde/test_grad.py new file mode 100644 index 00000000..2bff79cd --- /dev/null +++ b/tests/pde/test_grad.py @@ -0,0 +1,52 @@ +import torch +from continuity.pde.grad import grad, Grad, div, Div + +# Set random seed +torch.manual_seed(0) + + +def test_grad(): + # f(x) = x_0^2 + x_1^3 + def f(x): + return (x[:, 0] ** 2 + x[:, 1] ** 3).unsqueeze(1) + + # df(x) = [2 * x_0, 3 * x_1^2] + def df(x): + return torch.stack([2 * x[:, 0], 3 * x[:, 1] ** 2], dim=1) + + x = torch.rand(100, 2).requires_grad_(True) + u = f(x) + + # Test gradient of function + gf = grad(f) + assert torch.norm(gf(x) - df(x)) < 1e-6 + + # Test gradient operator + du = Grad()(x, u, x) + assert torch.norm(du - df(x)) < 1e-6 + + +def test_div(): + # f(x) = x_0^2 + x_1^3 + def f(x): + return (x[:, 0] ** 2 + x[:, 1] ** 3).unsqueeze(1) + + # div_f(x) = 2 * x_0 + 3 * x_1^2 + def div_f(x): + return (2 * x[:, 0] + 3 * x[:, 1] ** 2).unsqueeze(1) + + x = torch.rand(100, 2).requires_grad_(True) + u = f(x) + + # Test divergence of function + df = div(f) + assert torch.norm(df(x) - div_f(x)) < 1e-6 + + # Test divergence operator + div_u = Div()(x, u, x) + assert torch.norm(div_u - div_f(x)) < 1e-6 + + +if __name__ == "__main__": + test_grad() + test_div()