Files
TomoATT/test/plot_time.ipynb
2025-12-17 10:53:43 +08:00

357 lines
157 KiB
Plaintext

{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.legend.Legend at 0x7f1fa43c2f40>"
]
},
"execution_count": 1,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"import numpy\n",
"import matplotlib.pyplot as plt\n",
"\n",
"n_grid_each_dir = 100\n",
"\n",
"stencil_order = 1\n",
"#stencil_order = 3\n",
"\n",
"sweep_type = 2 \n",
"\n",
"# only domain decomposition with\n",
"nsubdom = [1,2,4,8]\n",
"time_only_domain_decomp = [85.3463,64.9523,31.8637,28.703]\n",
"L1_error_only_domain_decomp = [0.390742,0.382573,0.382575,0.382537]\n",
"Linf_error_only_domain_decomp = [1.33398,1.73339,1.73339,1.73339]\n",
"\n",
"# only sweep parallelization\n",
"nsubproc = [1,2,4,8]\n",
"time_only_sweep_parallelization = [85.3463,65.819,36.532,27.7725]\n",
"L1_error_only_sweep_parallelization = [0.390742,0.382708,0.382708,0.382708]\n",
"Linf_error_only_sweep_parallelization = [1.33398,1.73339,1.73339,1.73339]\n",
"\n",
"# both\n",
"\n",
"\n",
"plt.plot(nsubdom,time_only_domain_decomp,label='domain decomposition')\n",
"plt.plot(nsubproc,time_only_sweep_parallelization,label='sweep parallelization')\n",
"plt.xlabel('number of processors')\n",
"plt.ylabel('time (s)')\n",
"plt.legend()"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.legend.Legend at 0x7f1fa2c4caf0>"
]
},
"execution_count": 16,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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iCf7880+6desGQGZmJlc63V28eJEtW7aglOLLL7/k/fff58MPP7zp67/Z67iRsLCw3O/LuHHj6NKlCwAPPvgggwYNAuD1119n9uzZDB8+nO7du9O1a1d69752h3d6ejoDBgxg1apVVKtWjSeffJLPPvuMUaNGAeDj48OuXbuYMWMGH3zwAV9++eVN4xf3QK43ud6Q603k3c7YnZRzK0eAawCP13zcsDhKdDKNc2kuedWjcfwudpy4SJMq3kZHJAR16tThhRde4KWXXqJr1660bNkSgKpVq3Lw4EG2bdvGmDFjWLduHSaTiZYtW5KSksKmTZvo06dP7nmuzPSsXLnymnWLSUlJuc0XevTogbOzM87OzrRt25Zt27bRs2fPa+KpUKECzZs3B6Bfv35MmzaNsWPHsmbNGt5//31SU1O5cOECISEhub/c+/btm/v806dP07dvX2JiYsjMzKRy5co3fe23eh23Mn/+fHbt2sXy5csB2L9/P6+//jqXLl0iJSWFzp073/L5hw8fpnLlylSrVg2A/v37M3369Nxf7ldmKRs2bMhvv/1223hE0SHXm1xvomjaF7ePoSuHEh4QzvT20w2NpWQn04Bb7S7UW/cuH+w5SJMqLYwORxQ2t5jRyi/VqlVj165dLF68mNdff5327dvzxhtv0KpVK5YsWYK9vT0dOnRgwIABmEwmJk+ejNlsplSpUrmzRlczm81s2bIFJyen6x777waNG23YuNEx6enpPPfcc+zYsYMKFSowfvx40tPTc49xdXXN/ffw4cMZM2YM3bt3Z+3atYwfP/6mr/1Wr+Nm9u/fz/jx41m3bh22traA5WPpBQsWUK9ePb7++mvWrl2b5/PdiKOjIwC2trZkZ2ff07nELcj1Jtcbcr2J24u8GMnQVUPxdvJmfNPxRodTstdMAzhU7wTA5YPLc9egCWGks2fP4uLiQr9+/Rg3bhy7du0CoGXLlnz88cc0bdoUX19fEhISOHz4MLVr18bDw4PKlSvz888/A5Zam3v37gWgU6dOfPLJJ7nnv/oX58KFC0lPTychIYG1a9cSHh5+XTwnT55k8+bNAPzwww+0aNEi9xe5j48PKSkpuesgbyQxMZFy5SwbfOfOnXvL136r13Ejly5d4tFHH+Wbb77B19c39/7k5GTKlClDVlYW33//fe797u7uJCcnX3ee6tWrEx0dTVRUFADffvstrVu3vmWsoniQ602uN1G0nEo+xbMrnsXBxoEvOn2Br4vv7Z+Uz0p8Mk2ZUNIdvKibvoOIs0lGRyME+/bto1GjRoSGhvLWW2/x+uuvA9C4cWNiY2Np1aoVAHXr1r1mE9D333/P7NmzqVevHiEhISxcuBCAadOmsWPHDurWrUutWrWYOXNm7lh169albdu2NGnShP/973/Xrd8Eyy++6dOnU7NmTS5evMjQoUMpVaoUgwYNonbt2nTu3PmGScEV48ePp0+fPjRs2BAfH5/bvv6bvY4bWbhwISdOnGDQoEG5G6MA3n77bRo3bkzz5s2pUaNG7vGPPPIIkydPpn79+hw9ejT3ficnJ+bMmUOfPn2oU6cONjY2DBky5LaxiqJPrje53kTR8uGOD8k0ZzKr4yzKu5c3OhwAVFGejQ0LC9NXNl3ci4yfniElYilzm61gTOeaVohMFGUHDx6kZs3i/3Mwfvx43NzcGDt27E2PiY6OpmvXruzfv78AIyuebvRzpZTaqbUOMyikAnej92y53v4l15v1lJSfq5IoKTOJmJQYqntVL/Cxb/aeLTPTgGONznirZKL3bTQ6FCGEEEIIcZXUrFSm7JxCenY6Hg4ehiTSt1LiNyACULUdGkXgxc2cSHiUSt6ut3+OEEXcrTYmXREYGCizZEJYgVxvQtydDFMGI9aMYMe5HbQo14LwgJsvczKKzEwDuHqT6R9KG9s9LIs4Z3Q0QgghhBAlXrY5mxf/fpGtMVuZ0HxCoUykQZLpXI41OlPP5hib9kUaHYooBIryXgJR+MjPkxBC3BmzNjN+03hWn1rNy41epnvV7kaHdFOSTF8R1AFbzLifXU9c8u2L1oviy8nJiYSEBEmAhFVorUlISLhh3WEhhBA3du7yOf4+/TfP1XvO0O6GeSFrpq8o14Bsp9K0Nv3DigOxPNa4otERCYOUL1+e06dPExcXZ3QoophwcnKifPnCUcJJCCGKgrJuZfm9x+94OxX+7tSSTF9hY4ttUHva7l/JC/vPSjJdgtnb29+yBa8QQlwtLi6Orl27kpmZybRp03JbkufFnj17OHv2LPfff38+RihE0fH9we+5mH6R50Ofx8f59rXSCwNZ5nEVFdQBby5x8dhOktOzjA5HCCFEIZednc2qVauoU6cOu3fvvqNEGizJ9OLFi/MpOiGKlkVHF/HetveIuhSFWZuNDifPJJm+WlB7AJqzhzWH5SN+IYQoCaKjo6lRowaPP/44NWvWpHfv3qSmprJz505at25Nw4YN6dy5MzExMQC0adOGUaNGERYWxtSpU3nxxRdZuHAhoaGhpKWlsXz5cpo2bUqDBg3o06cPKSkpAGzfvp1mzZpRr149GjVqRGJiIm+88Qbz588nNDSU+fPnG/ltEMJQq0+u5o2Nb9C4TGMmtZqErY2t0SHlmSzzuJqbH7pMPTrG7OPLiHN0r3d9q1chhBD5Z+DSgdfd1zmwM4/UeIS07DSeW/ncdY/3COpBz6CeXEy/yJi1Y655bE6XOXka9/Dhw8yePZvmzZvz1FNPMX36dH7//XcWLlyIr68v8+fP57XXXuOrr74CIDMzkyvdHL29vdmxYweffvop8fHxTJw4kZUrV+Lq6sqkSZP46KOPePnll+nbty/z588nPDycpKQkXFxcmDBhQu5zhSiptsZsZezfYwnxDmFa22k42joaHdIdkWT6P1RQR+rGTGHnoeNkZNfD0a7o/GUkhBDi7lSoUIHmzZsD0K9fP/7v//6P/fv307FjRwBMJhNlypTJPb5v3743PM+WLVs4cOBA7rkyMzNp2rQphw8fpkyZMoSHW+rkenh45OfLEaJIiU+Lp2qpqszoMAMXexejw7ljkkz/V1AHbNd/QP3svWyKaknbGn5GRySEECXGrWaSne2cb/l4aafSeZ6J/i+l1DW33d3dCQkJYfPmzTc83tX1xp1ytdZ07NiRH3/88Zr79+3bd1dxCVGcZZmysLe154EqD9A5sDN2NkUzLZU10/9VPhzt5EkH+33SDVEIIUqIkydP5ibOP/zwA02aNCEuLi73vqysLCIiIm57niZNmrBx40aioqIAuHz5MkeOHKF69erExMSwfft2AJKTk8nOzsbd3Z3k5OR8elVCFF6nkk/RbUE31p5aC1BkE2mQZPp6tnaoKm1pZ/8PKyLOYTJL4w4hhCjuqlevzvTp06lZsyYXL15k+PDh/PLLL7z00kvUq1eP0NBQNm3adNvz+Pr68vXXX/Poo49St25dmjZtyqFDh3BwcGD+/PkMHz6cevXq0bFjR9LT02nbti0HDhyQDYiiRIlLjWPw8sEkZyZTzq2c0eHcs6L7Z0B+CupA6QML8Mk4yq6TYYQHehkdkRBCiHxkZ2fHd999d819oaGhrFu37rpj165de83tAQMGMGDAgNzb7dq1y52Bvlp4eDhbtmy57v4bHStEcZWYkcjgFYNJSE/gy05fElw62OiQ7pnMTN9IUAcA2tv9w7L9stRDCCGEEOJepWWn8dyq5ziRdIJp7aZR17eu0SFZhSTTN+JRBvxr080lgmUHzqG1LPUQQojiKjAwkP379xsdhhDFnqOtI6G+oUxuPZkmZZoYHY7VSDJ9M0EdqJ4ZwYULFzh0TjaHCCGEEELcjWxzNrGXY7FRNowLH0f7iu2NDsmqJJm+maAO2Ohsmtvul6oeQgghhBB3wazNjN80nsf+eozEjESjw8kXkkzfTMUm4OBOb4/DLIuINToaIYQQQogiRWvN5O2TWXh0Ib2r9cbT0dPokPKFJNM3Y2sPVVrT1LyLgzGJnLqQanREQgghhBBFxsx/ZvLdwe/oV7MfQ+oNMTqcfCPJ9K0EdcA94xxB6ows9RBCiGLo8OHDhIaG5v7n4eHBxx9/DMCFCxfo2LEjwcHBdOzYkYsXL173/I0bN1K3bl3CwsKIjIwE4NKlS3Tq1Amz2VyQL0WIQmXxscXM2DOD7lW7My583HVdRosTSaZvJadE3sOeh1kuSz2EEKLYqV69Onv27GHPnj3s3LkTFxcXevXqBcB7771H+/btiYyMpH379rz33nvXPf/DDz9k8eLFfPzxx8ycOROAiRMn8uqrr2JjI79iRcnVukJrngt9jreavYWNKt7XQvF+dfeqVAXwrUFnx31sP3GB+JQMoyMSQgiRT1atWkXVqlWpVKkSAAsXLqR///4A9O/fnwULFlz3HHt7e1JTU0lNTcXe3p6jR49y6tQp2rRpU4CRC1F47IzdSWpWKq72rgytN7RItwnPq+L/Cu9VUAcqbJ2Fk05n1cFY+oZXNDoiIYQotk488eR197nf1wWvxx7DnJbGqcHPXve4Z69elHqwF9kXL3JmxMhrHqv07Td5HnvevHk8+uijubdjY2MpU6YMAAEBAcTGXv8J5SuvvMKTTz6Js7Mz3377LWPHjmXixIl5HlOI4mRbzDaGrhxKr+BevN7kdaPDKTAyM307QR2wMWfSzSNKqnoIIUQxlZmZyaJFi+jTp88NH1dK3XDNZ2hoKFu2bGHNmjUcO3aMMmXKoLWmb9++9OvX74YJuBDF0b64fQxfPZyKHhUZXn+40eEUKJmZvp1KzcDelT6eh3k8si4pGdm4Ocq3TQgh8sOtZpJtnJ1v+bhd6dJ3NBN9tSVLltCgQQP8/f1z7/P39ycmJoYyZcoQExODn5/fTZ+vtWbixInMmzeP4cOH8/777xMdHc20adN455137iomIYqKqItRDF01FC8nLz7v+HmxLYF3MzIzfTt2jlC5FXXStpNpMrH28HmjIxJCCGFlP/744zVLPAC6d+/O3LlzAZg7dy49evS46fO/+eYb7r//fry8vEhNTcXGxgYbGxtSU6WsqijetNa8tvE1HGwcmNVpFn4uN/+js7iSKda8CGqP05El1HdJYHlELF3rljU6IiGEEFZy+fJlVqxYweeff37N/S+//DIPP/wws2fPplKlSvz00083fH5qaipff/01y5cvB2DMmDHcf//9ODg48MMPP+R7/EIYSSnF5FaTyTRlUsG9gtHhGEKS6bzIKZE3wP8orx8KIDPbjIOdTOoLIURx4OrqSkJCwnX3e3t7s2rVqts+38XFhTVr1uTebtmyJfv27bNqjEIUNokZiSyIWsCTtZ6kokfJLs4gGWFeeFUG7yBasIvkjGw2HY03OiIhhBBCCEOkZqXy3MrnmLprKkcvHTU6HMNJMp1XQR3xituOl4OJ5Qdkd7YQQgghSp5MUyYj1oxgf8J+JreeTFDpIKNDMpwk03kV3AGVnc7T5c+y4kAsZrM2OiIhhBBCiAKTbc7mpXUvsTVmKxOaTaB9xfZGh1QoSDKdV5Wag50TXZz2E5ecwe5TF42OSAghigWtZXJCWI/8POWfgwkHWXt6LS+Fv0SPoJtXtylpJJnOK3tnCGxJ4KVN2NsqaeAihBBW4OTkREJCgiRAwiq01iQkJODk5GR0KMVSHd86LOqxiH61+hkdSqEi1TzuRFAHbJe+RPdKWSyLOMcr99W4YUcsIYQQeVO+fHlOnz5NXFyc0aGIYsLJyYny5csbHUax8sU/X1DevTz3Vb6PCh4ls/zdrUgyfSeCO8LSl+hb6hC/HqvNkdgUqge4Gx2VEEIUWfb29lSuXNnoMIQQN/H9we+ZtnsaPar24L7K9xkdTqEkyzzuhFcVKB1IvfTtKAXLIs4ZHZEQQhhKKRWtlNqnlNqjlNphdDxCCOv54+gfvLftPdpVaMf4ZuONDqfQkmT6TigFQR1xPLWR8PKuLD8gybQQQgBttdahWuswowMRQljHmpNr+N/G/9E4oDHvt34fOxtZzHAzkkzfqeCOkJXKk2XPsv9MEqcvphodkRBCCCGEVUUkRFDLuxZT203F0dbR6HAKNUmm71RgC7B1oKXaA8ByqeohhCjZNLBcKbVTKTXY6GCEEPfGZDYBMKz+ML7q/BWu9q4GR1T4STJ9pxxcoVJzPM/8TXV/d1k3LYQo6VporRsA9wHPK6VaXf2gUmqwUmqHUmqHVOwQonCLuhjFg4se5PCFwwA42UmJwbyQZPpuBHWAuEM8FKTZHn2BC5czjY5ICCEMobU+k/P1PPA70Og/j8/SWodprcN8fX2NCFEIkQenk0/z7IpnScpMwsXOxehwipR8S6aVUl8ppc4rpfZfdZ+XUmqFUioy52vpnPuVUmqaUipKKfWPUqpBfsVlFcEdAXjAOQKzhpUHZamHEKLkUUq5KqXcr/wb6ATsv/WzhBCFTVxqHINXDCbdlM6sjrOklvQdys+Z6a+BLv+572VgldY6GFiVcxssHw8G5/w3GPgsH+O6dz7VwLMCZeM3UK6UM8tlqYcQomTyBzYopfYC24C/tNZLDY5JCHEHEjMSeXbls8SnxfNZh88ILh1sdEhFTr4l01rrdcCF/9zdA5ib8++5QM+r7v9GW2wBSimlyuRXbPdMKQjqgDq2ji41vFgXGc/ljGyjoxJCiAKltT6mta6X81+I1vodo2MSQtwZB1sHKrhVYGrbqdT1rWt0OEVSQa+Z9tdax+T8+xyWWQ2AcsCpq447nXNf4RXcETKTedD3DJnZZtYdkY01QgghhCgaMk2ZpGSm4GznzNR2U2latqnRIRVZhm1A1FprLCWV7kih2RleuRXY2FPz8lZKu9hLVQ8hhBBCFAnZ5mxeWvcSzyx/hixTltHhFHkFnUzHXlm+kfP1fM79Z4CrV7uXz7nvOoVmZ7ijO1Rsgs3RVXSo6c+qQ+fJzDYbF48QQgghxG1orZmweQIrT67kgSoPYG9rb3RIRV5BJ9OLgP45/+4PLLzq/idzqno0ARKvWg5SeAV1gNj9dKsMyenZbD2eYHREQgghhBA3pLXmgx0f8HvU7wypN4Qnaj1hdEjFQn6WxvsR2AxUV0qdVko9DbwHdFRKRQIdcm4DLAaOAVHAF8Bz+RWXVeWUyGuq9+DiYCtLPYQQQghRaH1/8Hu+OfANj9V4jOfqFY1Uqyiwy68Ta60fvclD7W9wrAaez69Y8o1fLXAvi/3xVbSuNpLlEbFM6F4bGxtldGRCCCGEENdoW7EtCekJDK8/HKUkV7EW6YB4L5SCoPZwdC1davpwPjmDvacvGR2VEEIIIUSufXH7MGsz5dzKMbLBSGyUpH/WJN/NexXcETISae9+EjsbxbII6YYohBBCiMJhzck1PLHkCeZGzL39weKuSDJ9ryq3BmWL26m1NK3qzfKIc1hWrQghhBBCGGdbzDbG/j2WWt61eLj6w0aHU2xJMn2vnEtBhcYQtYJOIQEci79M1PkUo6MSQgghRAm2P34/w1cPp4J7BWa0n4GrvavRIRVbkkxbQ1B7iNlL54qWxfzLD8hSDyGEEEIYI8OUwcg1IyntVJrPO35OKadSRodUrEkybQ05JfL8zm8ktEIpKZEnhBBCCMM42jryXsv3+KLjF/i7+hsdTrEnybQ1+NcBVz+IWkHnkAD+OZ3I2UtpRkclhBBCiBIkPi2epdFLAQgPCKeCR4XbPENYgyTT1mBjY+mGeHQ1nWv6ALBClnoIIYQQooAkZiQyeMVg3tz4Jglp0pG5IEkybS3BHSDtIlUyjxDk5yZLPYQQQghRIFKzUnl+1fNEJ0bzcduP8Xb2NjqkEkWSaWup0haUTc5SD3+2Hr/AxcuZRkclhBBCiGIs05TJqDWj2Be/j/dbvU/Tsk2NDqnEkWTaWly8oFwYRK2kc0gAJrNm1aHzRkclhBBCiGJs7am1bI7ZzFvN3qJDpQ5Gh1MiSTJtTUEd4Mwu6pTKooynE8tlqYcQQggh8lGnwE783O1negb1NDqUEkuSaWsK7gBo1LG1dKrlz7rIONIyTUZHJYQQQohiRGvNjD0z2Be3D4AaXjUMjqhkk2TamsrUBxfv3BJ56Vlm/j4SZ3RUQgghhChGZv0zi8/2fsaKEyuMDkUgybR12dhA1fYQtYpGgaXwdLaXpR5CCCGEsJofDv7Ap3s+pVuVboxqOMrocASSTFtfcEdIjccu9h/a1/Rj1aHzZJnMRkclhBBCiCLuz2N/8u62d2lToQ1vNX8LGyVpXGEg/xesrWo7QOVW9UhMy2Lb8QtGRyWEEEKIIkxrzeqTq2kU0IgPWn+AvY290SGJHHZGB1DsuPpA2foQtZJWTV/Ayd6GZRHnaB7kY3RkQgghhCiCtNYopXi/1ftkmjJxtHU0OqQiy5yejo2Tk1XPKTPT+SGoA5zejnN2Iq2CfVkeEYvW2uiohBBCCFHERMRH0H9pf+JS47CzscPF3sXokIokrTUXvv2Oo506k3XOuvvZJJnOD8EdQZvh2Fo6hwRwLimdf04nGh2VEEIIIYqQo5eOMmTlEM6nnsesZf/V3TIlJ3Nm5Chi33kHp5o1UY7WndmXZDo/lGsITqUgaiXta/pha6NYJlU9hBBCCJFHZ1LOMHjFYGyVLbM6zsLf1d/okIqsi/Pmkbx6NX7jxlH+sxnYlS5t1fNLMp0fbGwtGxGjVlLK2Z4mVbwkmRZCCCFEnsSnxTNo+SDSstP4vOPnVPSoaHRIRY7WmqzYWAC8Bw6k8k/z8X76KZSN9VNfSabzS3BHSImFc/voVCuAo3GXiTqfYnRUQgghhCjkTGYTng6ezGg/g+pe1Y0Op8i5sqwjus/DmC5dQtnZ4VSrVr6NJ8l0fqna3vI1agWdQiwfzSw/ILPTQgghhLixtOw0TGYT/q7+/PDAD4T6hRodUpGTtj+C4w8+RPKqVXj174+Nh0e+jynJdH5x94eAuhC1ijKeztQr78myiFijoxJCCCFEIZRpymTk6pG8sv6V3FJ4Iu+01lz47ntOPPooOjubSt9+m2/LOv5Lkun8FNQBTm6B9EQ6hQSw99QlziWmGx2VEEIIIQoRk9nEy+tfZnPMZpqWbSqJ9N3QmpT163Bt1ozKv/2KS4P6BTa0JNP5KbgjaBMc+5vOOUs9VshSDyGEEELk0FozYcsEVpxYwbiwcfQK7mV0SEVK2v4Iss6eRdnYUH7KlHyp1nE7kkznp/KNwNETolYQ5OdOFV9XWeohhBBCiFyf7P6E3yJ/49m6z/JkyJNGh1NkXL2sI3bS+wDYuLgUyLKO/5J24vnJ1g6qtIaoVaA1nUMC+GLdMRJTs/B0sTc6OiGEEEIYrGX5lpi1medDnzc6lCLDlJxMzGuvk7x8OW6tWxMw/k1D45GZ6fwW3BGSzsD5g3Sq5U+2WbP6sMxOCyGEECXZ0UtHAajvV59RDUfJOuk8yjh2PLdaR341YblTkkznt6tK5NUrXwp/D0eW7ZdkWgghhCip/jz2J70W9mLFiRVGh1Lk2Pn5YV++XIFW67gd4yMo7jzLgV8IRK3ExkbRqVYAfx+JIz3LZHRkQgghhChga0+t5fUNrxMeEE6r8q2MDqdIMCUnEzt5Mub0dGzdXKk0Z06BVuu4HUmmC0JQezixGTKS6RwSQFqWifWR8UZHJYQQQogCtP3cdl5Y+wI1vWoyrd00HG0djQ6p0LvShOXC13NJ3b7D6HBuSJLpghDcEcxZcHw9jat44eFkx7IIKZEnhBBClBQJaQkMXz2cCu4VmNFhBq72rkaHVKhprbnw/bVNWNxatjA6rBuSah4FoUITcHCDqBXY17if9jX9WXUwlmyTGTtb+XtGCCGEKO68nb15rfFrNApoRGknYzfMFQVxU6eSMPNz3Fq3psx77xq+yfBWJJkuCHYOULk1RK3MKZHnz++7z7At+gLNqvoYHZ0QQggh8smZlDPEpcYR6hdKt6rdjA6n0LvSSr1Uz57YenjiNaB/odhkeCuFO7riJLgDXDoJ8ZG0quaLo50Ny6WBixBCCFFsxafFM3j5YF74+wUyTBlGh1OoXWnCcvall9Ba4xAYiPdTAwt9Ig2STBecoA6Wr1ErcHGwo2WwLysOxKK1NjYuIYQQQlhdYkYiz654lri0OD5s/aFsNrwFU3IyZ0aOInbiRMyJSeiMovWHhyTTBaVURfCpblnqAXQO8efMpTT2n0kyODAhhBBCWFNqVirPr3qeY4nH+Ljtx4T6hRodUqF1pVqHpQnLWMp/NgMbJyejw7ojkkwXpKAOEL0RMlPpUNMfGwXLD0hVDyGEEKI4mXd4Hvvi9/F+q/dpVraZ0eEUWubMTE4//3xutQ7vp58uEss6/qvoRVyUBXcAUwZEb6C0qwONKntJiTwhhBCimOlfqz9zOs+hY6WORodSKJlSUtBmMzYODpSfNpXKv/1aqJqw3ClJpgtSxWZg7wJRlvahnUMCOBKbwvH4ywYHJoQQQoh7obXmsz2fce7yOWxtbGng38DokAqltP0RHO/1IAmzvgDAuV69Ql32Li8kmS5I9k4Q2DJ33XSnkAAAmZ0WQgghijCtNR/t/IgZe2ewLHqZ0eEUSleqdVxpwuLSqJHRIVmNJNMFLbgjXDgGCUcpV8qZ2uU8WC7JtBBCCFFkfbnvS76O+JpHazzKk7WeNDqcQufqah2uzZoV+WUd/yXJdEELam/5eqWqR60Adp28xPmkdAODEkIIIcTdmH9oPtN2T6Nrla683OhllFJGh1ToZERFkfL337nVOor6so7/kmS6oHlVAa+q/ybTtS1LPZYfkAYuQoiiSSllq5TarZT60+hYhChIWeYsfo38lTbl2zCh+QRslKRVV2itSd21GwCX+vUJWrWyyFbruJ3i94qKgqAOcHw9ZKUT7OdGZR9XSaaFEEXZSOCg0UEIUdDsbez5svOXTG49GXsbe6PDKTRMycmcGTWaE489RupuS0Jt5+NjcFT5R5JpIwR3hOw0OLERpRSdavmz+Wg8SelZRkcmhBB3RClVHngA+NLoWIQoKNvPbWfs32PJMGXg4eCBk13RajKSn3KbsKxcid+4sTjXq2d0SNc6s9MyoWlFkkwbIbAF2DldU9Ujy6RZc+i8wYEJIcQd+xh4ETDf6EGl1GCl1A6l1I64uLgCDUyI/BARH8Hw1cOJvBhJWlaa0eEUKhfnzbdU68jKKlxNWEzZELEAZneCL9rB6olWPX0heIUlkL0zVGoOkZZ60/UrlMLP3VFK5AkhihSlVFfgvNZ6582O0VrP0lqHaa3DfH19CzA6Iazv2KVjDFk5BE8HTz7v+DmlnEoZHVLhohQuzZpS+fffCke1jvRE2PQJTKsPP/eHlFjoMgn6/WLVYeysejaRd8EdYenLcDEam9KBdKzlz++7z5CeZcLJ3tbo6IQQIi+aA92VUvcDToCHUuo7rXU/g+MSwurOppxl8IrB2Cpbvuj0BQGuAUaHVCik7Y8g+1wM7h06UOrhPpTq09v42egLx2Dr57D7O8hMgUotoMu7UP0+sLF+jiUz00YJ6mD5etVSj9RMExuj4g0MSggh8k5r/YrWurzWOhB4BFgtibQori5lXMLR1pHPO35ORY+KRodjOK01F763NGE5P+VjtMmEUsq4RFpriN4APz4G0xrA9tlQoysM/hsG/gU1u+ZLIg0yM20c7yAoVQmiVkH4MzSt4o27kx3LIs7Rvqa/0dEJIYQQAsgyZWFva08t71os7LkQOxtJnUzJycS8/j+Sly3DrXVryrz3LsrWoE/VszNh/6+wZQac+wecvaDlCxD+DHiUKZAQ5CfCKEpZZqf3zoPsDBzsHGlXw4+VB89jMmtsbaTouxCi6NBarwXWGhyGEFaVmpXKsyuepXm55gypN0QSaSyJ9PGHepN15gx+48biNXCgMbPRlxNgx1ew/QvLWmjfGtBtKtTta9mbVoDkp8JIwR1hx2w4uQWqtKZTrQAW7jnLjugLNK7ibXR0QgghRImVZcpizNox/BP/D0+GSIvwK2zd3fHs1g3X5s2N2WR4/qBlFvqfnyA73TIx2eQzqNrOMlFpAEmmjRTYEmwdIGoFVGlNm+q+ONjZsCwiVpJpIYQQwiAms4mX17/MxrMbmdBsAh0rdTQ6JEOZkpM599YEvAYOwDkkBN/hwwo2ALMZjq6CzdPh2Bqwc4Z6j0LjIeBXo2BjuQHZgGgkRzeo2BQiLZsQXR3taBnkw7KIc2itDQ5OCCGEKJkmbp3I8hPLGRs2ll7BvYwOx1BXmrAkLVlCxsECbnSamWpZyjGjMXzf2zIr3e5/MOYAdPu4UCTSYNDMtFJqNPAMoIF9wECgDDAP8AZ2Ak9orTONiK9ABXeE5a9D4mnwLE/nkABWHTrPgZgkQsp6Gh2dEEIIUeLU96uPj7MP/UP6Gx2KYbTWXPzhB86/Nwlbb28qffsNLg0aFMzgSWdh2xewcw6kXYQy9aDXLAjpBXYOBRPDHSjwmWmlVDlgBBCmta4N2GIpqTQJmKK1DgIuAk8XdGyG+E+JvPY1/bBRsCwi1sCghBBCiJInJiUGgO5Vu/N86PMGR2OspD//JPbtiVc1YSmARPrMLvh1EHxcBzZMsTS4G7jEUt6uXt9CmUiDccs87ABnpZQd4ALEAO2AKy1p5gI9jQmtgPnWAI/yucm0t5sjYYFeLJduiEKIAqaUclBK1VVK1VFKFc7fWkLkk/mH5tP1967si9tndCiGMmdaFgV43HcfZSe9R4XPPsOudOl8HNAEBxbBV13gi7ZweAk0GgwjdsMj30OlZoZtLMyrAk+mtdZngA+Ak1iS6EQsyzouaa2zcw47DZQr6NgMoRQEtYdjf4MpC4DOIQEcOpfMiYTLBgcnhCgplFIPAEeBacCnQJRS6j5joxKiYCw+tph3tr5Ds7LNqOFdONbhFjStNRd++IFj9z9AdkICys4Ozx498q/sXXqSZUPhtFD46QnL0o7O71rWQ3d5F7wq58+4+eC23yGlVHml1Fil1EKl1Hal1Dql1Ayl1ANKqTv+DiulSgM9gMpAWcAV6HIHzx+slNqhlNoRFxd3p8MXTsEdISMJTm0DoFMtS9OW5bLUQwhRcD4E2mqt22itWwNtgSkGxyREvlt3eh2vbXiNhv4Nmdx6MvY29kaHVOBMycmcGTWa2Alv41C1CuRn3egLx2HpK/BRLVj2KniUg4e/tcxEN30OnDzyb+x8cssNiEqpOVhmiP/Esqb5POAEVMOSAL+mlHpZa73uDsbsABzXWsfljPEb0BwopZSyy5mdLg+cudGTtdazgFkAYWFhxaPkReXWYGNnKZEX2JwKXi7UKuPBsohzDGpVxejohBAlQ7LWOuqq28eAZKOCEaIgHL10lDFrx1DNqxqftPsEJzsno0MqcGkREZwZNZqss2fzrwmL1nBys2Um+vBiUDYQ8iA0GQrlCmhTYz66XTWPD7XW+29w/37gt5w1dXfaoP4k0EQp5QKkAe2BHcAaoDeWih79gYV3eN6iy8kDKjSxlMjrMB6wLPX4eNUR4pIz8HV3NDY+IURJsEMptRj4CUulpT7AdqXUgwBa69+MDE6I/FDZszJD6g3hweAHcXNwMzocQyTMnInOysqfah3ZmRDxu6XJSswecC4NzUdBo0HgUda6Yxnolsn0jRLpnGUaFbTW/+SUrou6/pm3POdWpdQvwC4gG9iNZab5L2CeUmpizn2z7+S8RV5wB1g5HpJiwKMMnWv7M2XlEVYejOXRRnf694oQQtwxJyAWaJ1zOw5wBrphSa4lmRbFxrHEYzjYOFDevTzP1HnG6HAKnCk5GXNqGvb+fgRMmABg3U2GlxNg51ew7UtIOQc+1aDrFKj7CDi4WG+cQiJPdaaVUmuB7jnH7wTOK6U2aa1H382gWus3gTf/c/cxoNHdnK9YCMpJpo+ugvr9qO7vTkUvF5ZFnJNkWgiR77TWA42OQYiCcDblLIOXD8bLyYv5XeejCnmlCGtLi4jgzOgx2Pn5Uunbb62bRMcdtsxC751nafVdtR30mG75mp/rsA2W16YtnlrrJKXUM8A3Wus3lVL/5GdgJY5/bXAvYymRV78fSik6h/gzd9MJktOzcHcqeRsihBAFJ2ePzHX7ULTWTxkQjhD5Ij4tnkHLB5Gancr05tNLVCL93yYsfmPGWOf1a53T6nuG5auto6UmdJPnwK/mvZ+/CMhrMm2nlCoDPAy8lo/xlFxXSuQd/ANM2WBrR+eQAL5Yf5y1h+PoVq/4rC0SQhRKf171byegF3DWoFiEsLqkzCSGrBhCXFocszrOorpXdaNDKjCmlBRiXnud5GXLcG3dirLvvXfvM9JZaZYZ6K0zIe4QuPlD29chbCC4+lgn8CIir8n0BGAZsEFrvV0pVQWIzL+wSqigDrD7OzizEyo2pn7F0vi4ObAs4pwk00KIfKW1/vXq20qpH4ENBoUjhNVN2zWNo4lHmd5+OqF+oUaHU8AUGUej8Bv7Al5PPXVv1TqSz1lafe/4CtIuQEBd6PV5TqvvklkwIU/JtNb6Z+Dnq24fAx7Kr6BKrCptQdlaSuRVbIytjaJjLX/+2BtDRrYJRztboyMUQpQcwYCf0UEIYS2jG46mY6WONC7T2OhQCoTWmqQ//sC9Uyds3Vyp8ttvKId7aGx6do9lPfT+38CcDdXvt9SFrtS80HcozG+3/NNEKfW6UsrrFo+3U0p1tX5YJZRzKSgfDpErcu/qFBJASkY2m6ISjItLCFHsKaWSlVJJV74CfwAvGR2XEPfCZDYxe99sUrNScbV3LTGJtCk5mTOjx3D2xZe49PMvAHeXSJtNcPBPmHM/zGoNh/6C8Kdh+E549AcIbFHiE2m4/cz0PuAPpVQ6llJ2cVjW0gUDocBK4P/yM8ASJ7gDrJ4IKXHg5kuzqt64Odqx/MA52taQSSIhRP7QWrsbHYMQ1qS15u0tb/Nr5K/4u/rTtUrJmPu7Uq0j68wZ/MaNpfTjj935STKSLctOt86Ei9HgWRE6TYT6T1gm/sQ1bldneiGwUCkVjKVLYRkgCfgOGKy1Tsv/EEuYoJxk+ugqqPcIjna2tKnuy4oDsUzsqbG1kb8AhRDWo5S6ZZcGrfWugopFCGvRWjNl5xR+jfyVQXUGlZhEOmnpUs6OexFbb++7a8Jy8QRs/Rx2fwsZSVChMXR4C2p0Bdu8brMrefK6ZjoS2XBYMALqgauvpURevUcASzfEP/+JYdfJi4QH3nTVjRBC3I0Pc746AWHAXkABdbF0p21qUFxC3LXZ+2czJ2IOj1R/hOH1hxsdToFxqlkTtw7tCXjjjbxX69AaTm6xrIc+9Kel1XetnpbSduUb5mu8xYX8mVHY2NhYZqePLLOsVbKxzEw72NqwPOKcJNNCCKvSWrcFUEr9BjTQWu/LuV0bGG9gaELclcSMRL478B1dq3TllcavFPta0mkREST98Sd+L72IQ6VKlJ8yJW9PNGVBxALYMh3O7ganUtBsBDQaDJ7l8jPkYkeS6cIoqAPs/dGyc7Z8Q9yd7Gke5M2yiFhevb9msX9jEEIYovqVRBpAa71fKVUyOi6IYsXT0ZMfH/gRHxcfbFTx7bqntebijz9y/t33sPXywmvgQOz987C3KvUC7JxjKW+XHAPeQfDAh1DvUXBwzf/AiyFJpgujqu0AZSmRl/MRS6eQAF75bR+HziVTs4yHsfEJIYqjf5RSX2LZEwPwOCCdbkWRse70OnbF7mJkg5GUcStjdDj5ypScTMz/3iB56dK8N2GJOwJbP4M9P0J2GlRpA92mQlDHYt3quyDk6bunlKqmlFqllNqfc7uuUur1/A2tBHPxgnINrymR16GmP0rBsohzBgYmhCjGBgIRwMic/w7k3CdEobfj3A7GrB3D5pjNpJvSjQ4nX2mtOfXMIJJXrMBv7AtU+OyzmyfSWsPR1fBdb5geDru/hzoPwdBN8ORCqNZZEmkryOvM9BfAOOBzAK31P0qpH4CJ+RVYiRfcEda+Z/k4xsULX3dHwiqVZnlELKM6VDM6OiFEMaO1TldKzQQWa60PGx2PEHkVkRDBsNXDKOdWjpkdZuJs52x0SPlCaw1ao2xs8B05AuXkdPNqHVlp8M9PsOUziDsIrn7Q5lUIewrcfAs28BIgr3+OuGitt/3nvmxrByOuEtQByPmLMkenWgEciEni1IVU4+ISQhRLSqnuwB5gac7tUKXUIkODEuI2jiUeY+iKoXg6ePJ5x88p7ZTHChZFjCklhTNjxpAw6wsAXJs1u3EinRwLq9+BKSHwxwiwsYUeM2D0fmjzkiTS+SSvyXS8UqoqoAGUUr2BmHyLSkDZ+uDsZSmRl6NzSAAgSz2EEPniTaARcAlAa70HqGxgPELcVnRiNI52jnzR6QsCXAOMDidfpB84wPEHHyJ5+QqUvf2ND4r5B34fYkmi102G8o2g/x8wZAPUfxzsHAs26BImr8s8ngdmATWUUmeA40C/fItKWP6aDGpvSabNZrCxoaK3CzUC3Fl+IJZnWlYxOkIhRPGSpbVO/E+1IG1UMELcislswtbGlnYV29G8XHMcbYtfsnhNtY4bNWExm+DIUstSjuj1YO8KYQOh8RDwrmpc4CVQnmamtdbHtNYdAF+ghta6hdY6Ol8jE5alHpfj4Ny/G+o7hwSwI/oCCSkZBgYmhCiGIpRSjwG2SqlgpdQnwCajgxLiv5Iyk+i3uB9Lo5cCFMtEGiDz2DFi3/k/XJo1pfLvv/2bSGekWLoUftIQ5j0GF45DxwkwJgLunyyJtAHyNDOtlCoFPAkEAnZXZi601iPyKzABVG1v+Rq1AsqGAtApxJ+pqyJZeTCWvuEVjYtNCFHcDAdeAzKAH4BlyCZzUcikZacxbNUwDl08hLu9u9Hh5Ius8+ex9/PDsWpVAn/4Hqc6dVA2NnDppCWJ3vUtZCRC+XBo/wbU7C6tvg2W1zXTi7Ek0vuAnVf9J/KTmy+UCYXIf9dN1yrjQfnSziyLiDUuLiFEsaO1TtVavwa01lqHa61f11oX7xpjokjJMmUxeu1o9sbtZVLLSTQv19zokKxKa82FH37gaMdOpKxbB4Bz3bqo09vhpydhaj3Lko6g9vD0SnhmJdR+UBLpQiCv/wectNZj8jUScWPBHWH9h5B2EZxLo5Sic0gA3245QUpGNm6OchEJIe6dUqoZ8CXgBlRUStUDntVaP2dsZEJY1ki/suEVNp7ZyFvN3qJTYCejQ7IqU0oKMf/7H8lLluLaqiVOtWrAvl9gyww4sxMcPaHpMEur71IVjA5X/EdeZ6a/VUoNUkqVUUp5XfkvXyMTFkEdQJvh2NrcuzrV8icz28zfh+OMi0sIUdxMAToDCQBa671AK0MjEiKHjbKhvFt5xoaN5cHgB40Ox6qurtbhO2IoFfrVwO6bNvDr05B2Ce7/AMYcgE5vSyJdSOV1WjMTmIxlPd2V3d0akJIS+a1cGDh5Wqp6hPQCICzQC29XB5ZFnOOBusW7ZaoQouBorU/9p5qHyahYhADL0odLGZco7VSaUQ1HGR1Ovkj7Zx867TKVhobjcvFdWJ0KlVvBAx9CsHQoLArymky/AARprePzMxhxA7Z2ULUdRK2ytAVVClsbRYea/izeF0NmthkHO7nQhBD37FTOUg+tlLLH0lL8oMExiRJu9v7ZfHvgW3584EfKupU1OhyrMSUnk3HwEC4+lymV/QseLfdje/Ew1OkDTYZCQB2jQxR3IK9ZWBQgbfeMEtQBkmMgNiL3rs61/UnOyGbzsQQDAxNCFCNDsPQUKAecBUJzbgthiPmH5jN111SalGlSrBqypO3dzfGunTk1qD+mL3uizu7CtuNLMDoCes6QRDofnb6YyrxtJ1m454xVz5vXmenLwB6l1BosZZMAKY1XYII6WL5GrYCA2gA0q+qDq4MtyyLO0bqatAcVQtybnE8eHzc6DiEAFh9bzDtb36F1+dZMbDERG1X0P4HVybFc/PBFzv+0FVtHMxW6lcL2wU8ss9H2TkaHVywlpmWx5VgCGyLj2RAVz/H4ywC0quZLj9ByVhsnr8n0gpz/hBHcA8C/jqVEXovRADjZ29Kmuh8rDsQysUdtbGzUbU4ihBA3p5SqAkwFmmDZE7MZGK21PmZoYKLE2XFuB69teI2G/g35oPUH2NvcpIV2UXFuH3rjdM58vpzkk464BrlT9u03sQt9AJT87ramLJOZPacusT4yng2Rcew9nYjJrHFxsKVJFW+eaFKJlsE+BPm5WXXcPCXTWuu5Vh1V3LngDrDpE0hPAicPwNLA5a99Mew+dYmGlUobHKAQooj7AZgO9Mq5/QjwI9DYsIhEiRTiE8JjNR9jaL2hONkV0Rlbsxkil8Hm6RC9HmXvgl3Fevje3wbvES9amrCIe6a15mjcZTZExrEhKp4txy6QkpGNjYK65UvxXJuqtAjyoX7F0vm6v+yWybRS6iet9cNKqX38W8Xj6hdRN98iE9cK6gAbpsDxv6FmNwDa1vDD3laxPOKcJNNCiHvlorX+9qrb3ymlxhkWjShxoi5GEeAagJuDG+PCi+iPXkYK7PkBtn6GTjjGpdNlcWo3DOdeLxDgIhWFrSE+JYONUfG5SzdiEi29pSp5u9AjtCwtg31oWsUHT5eC+0TjdjPTI3O+ds3vQMRtVGgMjh6WEnk5ybSHkz1Nq/qwLOIcL99XAyUfFwkh7t4SpdTLwDwskyd9gcVXegporS8YGZwo3o4lHuOpZU/R0L8hU9pOMTqcO3fpFGybBbvmQnoiJp/6xJzsRPLm/ZSqYI+zJNJ3LT3LxPboC2yIjGd9ZDwHYpIA8HS2p3mQN8ODfGkZ7EMFLxfDYrxlMq21jsn553Na65eufkwpNQl46fpniXxhaw9VWlvWTeeUyAPoHOLPa7/vJ/J8CtX83Q0OUghRhD2c8/VZ/v0kUmFZ7iF9BUS+OZtylsHLB6OUKnq1pE9thy3T4cAiQEPN7qT7PMDp974k68xBfF8Yg/fTTxsdZZFiNmsOxCSxIWf2eVv0BTKzzdjbKhpWKs24ztVpEeRD7XKe2BaS/WJ53YDYkesT5/tucJ/IT0Ed4OAfEHcI/GoC0LGWP68v2M+y/eckmRZC3IuXgKVa6ySl1P+ABsDbWutdBsclirH4tHgGrxhMalYqc7rMoZJHJaNDypvj62HVW3B6u+VT4yZDofGzpEVf4MQTT2Lr5UWlb+bi0rCh0ZEWCWcvpVlmnqPi2RQVT8LlTACq+7vzRJNKtAj2oXFlL1wc8pq2FqzbrZkeCjwHVFFK/XPVQ+7AxvwMTNxAbom8lbnJtJ+7E/UrlGLZgXMMbx9sYHBCiCLuda31T0qpFkA74APgM2QDoshH4zeN53zqeWZ1nEV1r+pGh3N7aZdgxf9g1zfgWRHuex9CHwNHy2SWU+2yeA0YgNdTA7ErLXuZbiY5PYstxy6wITKO9VHxHIuzlKzzdXekdTVfWgT70CLIBz+PorEB9XYp/g/AEuBd4OWr7k+W9XMG8CwPvjUhcgU0G557d+eQAN5dcojTF1MpX9q4NUNCiCLtSuvwB4AvtNZ/KaUmGhmQKP5eafwKZ5LPEOoXanQot3dgESweC5fjoNkIaPMKOLiQfuAAse++R7mPp2Dn7Y3fC2OMjrTQyTaZ2Xv6Ssm6eHafuoTJrHG2t6VxFS8ea1SRlsG+VPN3K5L7v263ZjoRSAQeLZhwxG0Fd4Ctn1t2DDta6iReSaZXHIhlYPPKBgcohCiiziilPseyrG+SUsqRvHfJFSLPskxZ/B71O72r9aacWznKuVmveUa+SIqxJNGH/rR0J3zsJygbitaaSz/+SOz/vYutlxfZsbHYeXsbHW2hoLXmePxlNkRZNg1uOZpAckY2SkHdcp4MaV2FFkG+NKhUCkc7W6PDvWeFc/GJuLmgnHrT0euh+n0ABPq4Ut3fnWUR5ySZFkLcrYeBLsAHWutLSqkyQBGtTyYKK5PZxCsbXmFZ9DICPQJpVKaR0SHdnNkMu7+B5W+AKQM6vAVNnwdbe0wpKcT8738kL1mKa6uWlJ00qcQv67hwOfOaknVnLqUBUMHLma71LCXrmlX1ppSLg8GRWp8k00VNxaZg72pZN52TTIOlgcv0NVFcuJyJl2vx+0EVQuQvrXUq8NtVt2OAmJs/Q4g7o7Xm7S1vsyx6GWPDxhbuRDrhKPwx0jJxFdgSuk0F76q5D5//4AOSl6/IrdZREpuwpGeZ2HniomXpRlQcEWeT0Bo8nOxoVtWHoW2q0jLYh0rerkaHmu8kmS5q7BxzSuSt+E+JvAA+WR3FqoOx9AmrYHCQQgghxLWm7JrCr5G/MqjOIPqH9Dc6nBszZVk+/V37Htg5Qbdp0OBJUAqtNebLqdi6ueI7ciSe3bvj0qCB0REXGLNZc+hcMhui4lgfGc+24xfIyDZjZ6NoUKk0YzpUo0WwD3XKeWJnW7L+uJBkuigKag+HF0NCFPhYKniElPWgXClnlkVIMi2EEKJwOZl0ku8PfE/f6n0ZXn/47Z9ghLO7YdFwOLcPanaH+yeDewBA7rKO7JhzVPr2G+xKly4RyzrOJaazPqdV98aoeOJTLCXrgv3ceKxxRVoG+9C4sjeujiU7nSzZr76ourpEXk4yrZSiYy1/ftx2kkPnkqgR4GFggEKIkkAp5QSsAxyx/D75RWv9prFRicKookdFfuz6I0GlggpftYbMVFj7f7B5Orj6Qd/vcjsNA6QfOMDp0aPJOn0G35Ejwbbob5i7mZSMbLYeS8hZuhFP1PkUAHzcHGkR5EOLYF9aBPkQ4Fk0StYVFEmmi6LSgeAdbFnq0WRo7t39mlTiz39i6P7JRl7sUp2nmlfGppB0BxJCFEsZQDutdYpSyh7YoJRaorXeYnRgonBYcnwJGaYMegb1pFrpakaHc71jay1roy9GQ8MBlk2GzqUAyxrvS/PnW6p1lC5dLJuwZJvM/HMm0bJpMDKeXScvkm3WONnb0KiyN33DKtAi2IcaAe6F74+gQkSS6aIquCPs+Aqy0sDeGYAgPzeWjWrJy7/tY+JfB1l7OI4P+tSTvyCFEPlCa62BlJyb9jn/6Zs/Q5Qk606v49X1r1Lfvz7dq3bHRhWidbSpF2D5/2DPd+BVFQb8BYEtrjlEp6dzYc7XuDRuTNn3i0e1Dq01JxJSWR8Vz4bIODYdTSA53VKyrnZZTwa1qkLLIB8aVCqNk33xnYG3Nkmmi6qgDrBlBkRvsCTWObzdHJn1REPmbT/FhD8O0GXqOt7tVYf76pQxMFghRHGllLIFdgJBwHSt9db/PD4YGAxQsWLFgg9QGGJn7E7GrB1DNa9qTGs7rfAk0lrDgQWw+EVITYAWY6D1i7mTUgDphw/jUKkSNs7OVPz2G+x8fIp0tY6LlzPZdDQhd+Pg6YuWknXlSjnzQJ0ytAj2oVlVH6kEdg8kmS6qKjUHO2fLuumrkmmwrJ9+tFFFmlTxZtS83Qz9fhe9G5ZnfPcQ3Er4JgEhhHVprU1AqFKqFPC7Uqq21nr/VY/PAmYBhIWFyax1CXAg4QDDVg2jrFtZZnaYiZuDm9EhWSSesTRfObwYyoRCv1+hTN3ch7XWXJo3j9j/e5fSTz6B/7hx2Pv5GRfvXcrItpSsu1Lved+ZRLQGd0c7mlb15tlWVWgR7Eugt4ss3bASyayKKnsnqNzSsm76vkk3PKSyjyu/DG3GJ6si+XRNFNuOX2BK33o0rORVwMEKIYq7nEYva7A0ftl/u+NF8bX93HY8HDyY1XEWpZ0KwdIIsxl2zoEVb4I5GzpNhMZDwfbfFOiaJiwtW+L9zDMGBnxntNYcjk1mQ2R8bsm6tCwTdjaK+hVLMaq9pWRdvfIlr2RdQZFkuigL6gCRy+HCMfCqcsND7G1tGNOpOq2q+TL6pz30mbmZYW2DGN4+GHu5qIQQ90Ap5Qtk5STSzuS0Ijc4LGEQrTVKKfqH9OfB4Adxd3A3OiSIj4RFI+DkJqjcGrp9fN3vy/TDRzg9YrilWseYMXg/U/ibsMQmpefOPG+IiicuOQOAqr6u9A2vQIsgH5pU9ZZPowuIfJeLstwSeaug0Y2T6SvCAr1YPKIl4xcdYNrqKP6OjOfjvqFU9in+nYmEEPmmDDA3Z920DfCT1vpPg2MSBohPi2fUmlG8FP4SdXzrGJ9IZ2fCpqnw9/tg7wI9pkPo47mNzq5m4+iAsrMv1NU6UjOz2XrsQm63wSOxln2/3q4ONA/yoUWwDy2CfChbyvk2ZxL5QZLposy7KpSubFnq0WjQbQ93d7Lnw4fr0a6GH6/+vo8Hpq3nja616BteQdZNCSHumNb6H6C+0XEIYyVlJjF05VCiE6PJ1tlGhwOnd1qar5yPgJBe0GUSuPtfc4gpJYXE336n9BP9cAgMpMofiwrVbLTJrNl3JpENkZZNg7tOXiTLpHG0s6FRZS8ealCeFsE+1AzwkBK4hYAk00VdcEfY/R1kpVvWUefBA3XL0KBSKcb+vJeXf9vH6kPnee+hurKTVwghxB1Jy05j+KrhRF2K4tN2n1Lfz8C/rTIvw+p3YOtn4BYAj/wINe6/7rDcJiynTuPcsAHOISGFIpE+mZDK+qg4NkTGs+loAolpWYClw/FTLSrTMsiXsEApWVcYSTJd1AV1hG2zLOvBqrbL89PKeDrz7VON+Wrjcd5fepjOH69jcu+6tKle9HYuCyGEKHhZpixGrx3Nnrg9vN/qfZqXa25cMFGr4M9RcOkkhD0NHd4EJ89rDrlRExbnkBBj4gUSU7PYdDQ+p+ZzPCcvpAJQ1tOJziH+tAj2pXlVb7zdHA2LUeSNJNNFXWALsHW0vJHcQTINYGOjeKZlFZoH+TBq3h4GzNnOgGaBvHxfDfnLVwghxC2ZMeNo48gbTd6gc2BnY4JIvQDLXoW9P1o6Aw9cCpWa3vDQ2Lff5uIPP+LasiVlJ72HnVfBVrbKzDaz66SlZN36qHj2nb6EWYObox1NqnjzdIvKtAj2oYqPqyy9LGIkmS7qHFwgsLll3XTnd+7qFDXLeLBwWHPeX3qYrzYeZ0NUPFMfCSWkrOftnyyEEKJE0VqTlp2Gi70LH7f92JjET2vY/ysseQnSL0GrcdBy7C2XO7q1bYtdQJkCq9ahtSbyfIpl02BkHFuPXyA104StjSK0QimGtwumZbAP9SqUkupaRZwk08VBUAfLX+aXTkKpu+sw5mRvyxvdatG2hi8v/LSXntM3MrZTdQa1rCKbG4QQQuSasmsKG85sYG6XucZU7bh0Cv56ASKXQbmG0H0R+F+/XOPKsg7z5VS8n34Kt5YtcWvZMl9DO5+czsYoS73njVHxxCZZStZV8XGld8PyuSXrPJzs8zUOUbAkmS4OgjpakumolRD21D2dqmWwL8tGteKV3/bx7pJDrDl8no8eDpVyO0IIIfhy35fM2T+HvtX74mZfwJ0NzWbY/iWsegu0GTq/C42fBZvrlyWaUlI498YbJC1eglubNngNHJAvs9FpmSa2Hk/Irfl86FwyAKVd7Gke5EPLYB9aBPtSTn6HFmuSTBcHPsHgWREi7z2ZBijt6sBn/Rrw887TvLUogi4fr2Nirzp0r1fWCsEKIYQoin46/BNTd03lvsr38WrjVwt2ecf5Q/DHCDi11bI/qOvHULrSDQ/NrdaRT01YzGbN4v0xfL/lJDtPXCTTZMbBzobwwNK81KUGLYN9qFVGStaVJJJMFwdKQXAH+OcnS6F6u3svcaeU4uGwCjSu7MWo+XsY8eNu1hw6z1s9QuTjKSGEKGFWnljJxC0TaVW+Fe+0eAcbVUBrfLMzYcMUWP8BOLhCr8+hbt8bNl8ByL54keh+T2Dr7k6luV/jEhZmtVC01vx9JI7Jyw4TcTaJKj6uDGgeSIsgH8IDvXB2kI37JZUk08VFUEfY8RWc2gKVW1nttJW8Xfn52aZMX3OUaasj2Xb8AlP6htKocsHughZCCGGc2j616RXci1cavYK9TQFNqJzaZmkFHncQaveGLu+Bm+8ND9VZWSh7e+xKl6bsu+/iEh5m1WodO09c5P2lh9h6/AIVvJz5uG8o3eqVxVZmnwWW9q+iOKjcEmzsLeumrczO1oaRHYL5eUhT7GwVfWdt5v2lh8jMNlt9LCGEEIXHscRjmMwmAlwDeKvZWzjZ5a052D3JSIbFL8LsTpZ/P/YT9J5900Q6/eBBjnXtRvKaNQB4dO5ktUT68Llknpm7g4c+28TRuMtM6BHCqjFt6Fm/nCTSIpchybRSqpRS6hel1CGl1EGlVFOllJdSaoVSKjLna2kjYiuyHN0ttTUjrZ9MX9GgYmkWj2jJww0rMGPtUR76bBNR51PybTwhhBDGOZBwgMf/epypu6YW3KCRK2BGU0szskaD4PktUO3GNay11lycN4/ovo9gTk/H1sPDamGcupDKmPl76DJ1HVuPJzCuc3XWvdiGJ5sG4mAn85DiWkb9REwFlmqtawD1gIPAy8AqrXUwsCrntrgTQR3hfASs/xBM2fkyhKujHZN612Vmv4acvphK10/W892WE2it82U8IYQQBe944nGGrhyKu4M7j9V8LP8HvBwPvw6C73uDvQs8tQzun2yZKLoBU0oKZ194gXPj38KlcWMq//4bLg0b3nMYcckZvLlwP+0+XMtf+2J4tlVV1r/YlufbBuHiICtjxY0V+E+GUsoTaAUMANBaZwKZSqkeQJucw+YCa4GXCjq+Ii3sKTizE1ZNgMNLoOdM8AnKl6G61A6gfsVSjP15L68v2M+aQ+eZ1LsuPtL2VAghirSYlBgGrxgMwKyOswhwDci/wbS2bJ5f+rJlSUfrl6HlGLC79e+SlFWrSFq23GrVOhLTsvhi3TFmbzhOpsnMI+EVGNE+GH+PAljWIoo8VdAzikqpUGAWcADLrPROYCRwRmtdKucYBVy8cvtmwsLC9I4dO/Iz3KLnSleov16A7AzoOAHCn4F86vZkNmvmbo7m3SWH8HCyY9JDdWlf0z9fxhKiuFFK7dRaW6/cQCEn79mFn1mbeeTPRzidfJqvunxFDa8a+TfYpZPw52jLXp/y4dD9E/CredPDtdZknTyJQ6VKaK3JPHoUx6B7mzBKyzQxd3M0n609SmJaFt3rlWVMx2oE+rje03lF8XSz92wjkukwYAvQXGu9VSk1FUgChl+dPCulLmqtr1s3rZQaDAwGqFixYsMTJ04UTOBFTVIMLBpmeZOq3Bp6TIdSFfJtuCOxyYz4cTeHziXTr0lFXru/lpQJEuI2JJkWhdHu87vRWtPAv0H+DGA2WdZEr3rbcrvDmzmTPjf/nXGlCUvy2r+psmgRDuXL3VMIWSYzP+84zdRVR4hNyqBtdV/Gdq5OSFnPezqvKN4KUzIdAGzRWgfm3G6JZX10ENBGax2jlCoDrNVaV7/VueSN+Ta0hp1fw7LXLG9S902Ceo/etD7nvcrINvHh8iN8sf4YlX1cmdq3PnXKyxuTEDcjybQoLNKy09h4ZiMdKnXI34FiD8Ci4XBmh2WfT9cpt53oST94kNOjRlmasIwceU/LOsxmzZ/7Yvho+WGiE1IJq1SaF7vUkHKvIk9u9p5d4BsQtdbngFNKqSuJcnssSz4WAf1z7usPLCzo2IodpSBsIAzdCP61YcFQmPc4pJzPl+Ec7Wx59f6afP90Y9IyTfSasZHpa6IwmWVzohBCFFZZpizGrB3DC3+/wLHEY/kzSHYGrH4HPm8FF4/Dg1/C4z/fNpG+OG8+0X0fQadnUGnu1/gMHnRXibTWmjWHz9P1kw2M+HE3Tva2zO4fxs9DmkoiLe6ZUVtThwPfK6UcgGPAQCyJ/U9KqaeBE8DDBsVW/HhVhgF/wpYZlo/VZjSxzAbU6pEvwzUL8mHpyFa8umAfk5cd5u/DcXz4cD0qeLnky3hCCCHujsls4tUNr7LhzAbebPomVTyrWH+Qk1sss9HxRyzdCzu/C67eeXpq+qGDuDRuTNlJ79117eidJy4waelhth2/QEUvFz7uG0r3emWl3bewmgJf5mFN8pHhXTh/CH4fDDF7LW9q900C5/wp6a215vfdZ3hjYQQKmNAzhJ6h5VD5tMxEiKJGlnkII2mtmbBlAr8c+YUxDccwsPZA6w6QngSr3oLtX4JnRcskTvDtl5GkHzwIgFPNmujMTLCzu6vZ6EPnkvhg2WFWHjyPr7sjI9oF0Te8otSJFnftZu/ZUjSxpPGrAc+sgnUfwLrJcHw99PgUgtpbfSilFA82KE94oBdjftrD6Pl7WX0ojok9auPpUkDtaIUQQtzQjtgd/HLkF56p84z1E+nDS+GvMZB0FhoPhXavg6PbLZ+itebS/PnE/t+7ONetS6XvvkU5ONzx0CcTUpmy8ggL9pzBzdGOcZ2rM7B5oNSJFvlGZqZLsjO74PchEH8Ywp62lNG7zZvd3TKZNTP/PsqUFUfwc3fkw4dDaVo1bx/zCVFcycy0MNrO2J008GtgvU8MU+Jg6UuWEq1+tSzl7srf/kf8SrWOpMVLcG3RgrLvT7rjZR3nk9P5dHUUP247ia2NYkCzygxpXYVSLneekAtxIzIzLa5XrgE8+zesngibp8PR1dBrJlRsYvWhbG0Uz7cNokWQD6Pn7+GxL7cwuGUVxnSqhqOdlNATQoiC8nvk71TyqEQD/wY09L/3roGApXrU3h9h2auQeRnavgbNR4Hd7RPZrJgYTg4YSOapU/iOHo33oGfuaFlHYloWs9Yd5asN0WSZzPSVhiuigEkyXdLZO0Pnd6D6/bBgCHzVBZqPgDavgr3134jqVSjFnyNaMPGvg3y+7hjrI+OZ+kgowf43bhkrhBDCepYcX8Kbm96kQ6UO1qsjfTEa/hgFx9ZAhSbQfRr43rKy7TXsfH1xCqlFmXcm4hKW9w9qpOGKKCxkmYf4V0YyLH/dUpvatyY8+DmUqZdvw608EMtLv/5DSkY2r9xXg/7NAmVzoihRZJmHKEjrTq9j5OqR1PWty8yOM3G2c763E5qyYetMWPMOKFvoOB4aPpWnjrumlBTiPpqCz/PPYed9Z0v+skxmftpxiqkrIzmfLA1XRMGRZR7i9hzdodtUqP6ApYzRF+2g9cvQYjTYWv9HpUMtf5ZWaMWLv+xl/B8HWHM4jsm96+InH80JIYRV7YzdyZi1YwguHcyn7T+990T63H5Ll92zu6FaF3jgQ/Asn6enph88yJlRo8k8dQqX8DA87rsvT88zmzV//HOWKSuO5DZc+fSxBlInWhhO6sOI61XrBM9thlo9Yc1EmN0R4o7ky1C+7o58NSCct3uEsOVYAl2mrmd5xLl8GUsIIUqqP47+QRnXMszsOBN3h3tYVpeVDqsmwKzWcOkU9P4KHp2Xp0Raa53bhMWclkalb+bmKZG+0nDlgU82MHLeHpzsbflqgDRcEYWHLPMQt7b/N0t5o6w06DAeGj2bp4/w7kbU+WRGzd/D/jNJPBJegf91rYWro3x4IoovWeYhCorJbCIxMxEvp3tIPqM3wh8jICEKQh+HThPBJe/nS/hqDufff/+OqnXsiL7A+0sPsy3a0nDlhU7V6FZXGq4IY8gyD3F3aj8IlZrBohGw9GU49Bf0mA6lK1l9qCA/d34b2pwpK48w8++jbDmWwJS+odSvmD9NZYQQojiLSYlh/ObxvNXsLQJcA+4+kU5PhBVvws45UKoSPPE7VG2X56drrVFK4dmrJ8rWhtJPPHHbah0HYywNV1YdsjRcebtnbfqGVZCGK6JQkp9KcXvuAfDYfOj+qWV93GfNYdc3llJIVuZgZ8NLXWrw46AmZJk0vWduZurKSLJNZquPJYQQxVVCWgKDVwxmX9w+EjMS7/5EB/+E6Y1h11xoOsyyBDCPifSVZR0nBz6FzsrCrnRpvPr3v2UifTIhlVHzdnP/tPVsj77Ai12q8/e4NjzRpJIk0qLQkplpkTdKQYMnoHIrWPi8ZYPiob+g2zRw97f6cE2qeLN4ZEveWLifKSuP8PeR83zctz4VvV2sPpYQQhQnyZnJDF05lHOXzzGr0yyqe+W9TN2/J4mFJePgwELwrw2PfA/l8l6T2tKE5U2SFi/GtUULzGlp2NrfvPPt+aR0PslpuGJnqxjSuipDWlWVbrmiSJBkWtyZ0pXgyUWw7XNYOR5mNIYHPrIsB7EyT2d7pj5Sn3Y1/Hh9wX7um7qO8d1D6N2wvJTQE0KIG0jLTmPYqmFEXorkk3afUN+v/p2dQGvY/R0sf82y2bDd/6D5SLDNe1J7dbWO2zVhSUzL4vO/jzJno6XhyiONKjCiXbBUdRJFiiTT4s7Z2ECToVC1Pfz+LPwyEA79Cfd/cEebUfKqR2g5wgK9GDN/D+N++Yc1h8/zTs86lHaVFrFCCHG11KxU0rLTeLflu7Qo1+LOnpxwFP4cBcfXQaXmllKpPsF3dAptNnP25Vcs1Trmfo1LePgNj0vLNPH1pmg+WxtFckZ2bsOVSt7ScEUUPVLNQ9wbUzZsmAJ/vwcuPtDjUwjumD9DmTVfrD/Gh8sP4+XqwId9QmkR7JMvYwlREKSah7AWk9mEGTP2NvZkm7Oxs7mDuTJTNmyZDmv+D2wdoOMEaND/jio3mVJSUHZ22Dg5kXHsGLaenjdsxpJlMjN/+ymmrbI0XGlXw4+xnapTq6xH3uMVwiA3e8+W1fzi3tjaQetx8MwqcC4N3/e2VP7ISLb+UDaWdXS/P9ccN0c7+s3eytt/HiA9y2T1sYQQoqjQWjNx60TGrB1z54l0zF74oi2seMPyaePzWyFs4B0l0ukHDxL9UG9i/+9dAByrVLkukTabNQv3nKHDR3/z+oL9VPJ24echTflqQLgk0qLIk2RaWEfZUBi8FpqNsFT6+Ky5pSZpPqhdzpM/h7fkyaaVmL3hOD2nb+TQuaR8GUsIIQq7qbum8suRX6jqWTXviXRWmqXc3ay2kHwO+sy1bDL0KJvncf/bhMWze7cbHrPm0L8NV5ztbZkzIJyfnm1KeKA0XBHFgyTTwnrsnaDT2zBwiaX6x9cPwLKcTSxW5uxgy4QetZkzIJz4lEy6f7KRL9cfw2wuusuWhBDiTn21/ytm75/Nw9UeZmSDkXl70vF18Fkz2PgxhD4Gw7ZBSE/L+3YemVJSOPvCWM6NH49Lo0ZUXvA7LmHXfvq9PfoCD3++mYFfbyc1M5upj4SyeERL2tbwk03koliRDYjC+io1hSEbYcX/YPOnELkCes2Ecg2sPlTbGn4sHdWSl3/9h4l/HWTt4Tg+6FOPAE/ZCS6EKN5+i/yNKTuncF/gfbza+NXbJ6hpFy3LOXZ9A6UrWyozVWl9V2ObEhJI2bjxhtU6DsYkMXnZYVbnNFyZ2LM2fcMrYG8r83eieJINiCJ/Ra2EhcMg5Ty0Ggetxt5RiaW80lrz47ZTvP3nARztbXi3Vx3uq1PG6uMIYU2yAVHci/3x+/n+4PdMaDYB+9u9rx5YCIvHweV4aDYMWr8MDndWt19rzeWNm3Bt3gylFKbERGw9PXMfP5FwmY9WHGHR3rO4O9oxtE0QA5oF4uxgezcvT4hC52bv2ZJMi/yXdhEWvwj7foIyodDrc/CrkS9DHYtLYfT8Pew9nUjvhuUZ3z0EN0f5AEYUTpJMi7txNuUsZd3yuLY5KQYWj7WULw2oY+lkWzb0jsc0pVzm3JtvkvTXX5T/9BPcO3TIfex8UjrTVkcyb9sp7GwVTzWvzLPScEUUQ1LNQxjHuTQ89AU8/A1cOgmft4JNn4DZ+lU4qvi68cvQZgxvF8Rvu05z/9T17DxxwerjCCGEEXbG7qTHgh78fOTnWx9oNsPOry2twKNWQoe3YNCau0qk0w8dIvqhh0hasgTfUaNwa2dpJ56YmsWkpYdoNXkN87ad4tFGFVk3ri0vdqkhibQoUWTKThScWj2gYlP4YyQsfx0OL4Ee08GrslWHsbe14YVO1WldzZdR8/fQZ+ZmhrULZni7IFmzJ4Qosg4mHGTYqmEEuAbQvmL7mx8YH2V5nz2xAQJbWpqveFe9qzEvLVjAuTfexLZUqdwmLGmZJuZsimLm2qMkZ2TTo15ZRkvDFVGCSTItCpabHzzyA+z5AZa+bCmh1/kdaDjgjnaS50VYoBdLRrbkzUURTFsVyd9H4vi4byiVfeQNXwhRtBxPPM6QlUNwc3Dji05f4OV0g7JypizYNA3WTgI7J+g2DRo8eU/vrXbe3rg0aUzZ995De5bi2y0n+CSn4Ur7Gn6M7VydmmWkTrQo2WTNtDDOpVOw8DlLmaagjtD9E/DIn02Df/5zltd+30+WycwbXWvRN7yClGYShpM10yIv0rLT6LmgJ+mmdOZ2mUugZ+D1B53ZZWmYFbsPanaH+yeDe8BdjZd+6BBp//xD6YcfBsBkMvPnvhg+XH6EkxdSaRToxYtdqhMmdaJFCXOz92yZmRbGKVUBnlgI27+wNA+Y0QQe+BDq9Lb6UF3rlqVhpdK88NNeXv5tH6sPnee9h+ri5epg9bGEEMKanO2cGVZ/GEGlgq5PpDNTYc07sGUGuPpB3++g5vXNU/JCa82ln34m9p13sPX2xuOBB/j7VArvLz3MoXPJ1CzjwZyB4bSp5iuTEUJcRWamReEQHwW/PwtndkBIL7j/Q3D1vv3z7pDZrJm94TiTlx3G08Weyb3r0qa6n9XHESIvZGZa3EpyZjJHLx0l1C/0xgccXQN/joKL0Zalch3eAudSdzXW1dU6XJs35/zwV5i0JZbt0Rep5O3CmI7V6Fa3LDY2kkSLkktmpkXh5hMETy2zdORa+56lFXn3T6B6F6sOY2OjGNSqCs2DfBg1fzcD5mxnQLNAXr6vBk72UgtVCFE4pGWnMWzVMA5fPMzSB5dSyqnUvw+mXoDl/4M934FXVRjwFwS2uOuxdGYm0Y/0JfPYcfTTQ3nTuxFr5h3Cz92Rd3rV5uEwabgixK1IMi0KD1s7S1OXap3ht2fhx75Qvx90fhecrLvBpVZZDxYNa8GkpYeYszGajVHxfPxIKCFlPW//ZCGEyEdZpixeWPsCu8/v5v1W7/+bSGsNEb/DkhctCXWLMdD6RbB3vqfxlIMDumcfFsTb83mCJx6XE3n5vhr0byoNV4TIC0mmReETUAcGr4G178LGqXBsHfScAZVbWnUYJ3tb3uwWQtvqfoz9eS89p29kbKfqDGpZRT7KFEIYwmQ28dqG11h/Zj1vNH2DLpVzPp1LPAN/vQBHlliaX/X7DcrUvftxUi5z7q23MLfpwMzMMsw/5ou9rQ3PtQmUhitC3CFJpkXhZOcIHcZDtftgwRCY2xUaD4UOb97zLMx/tarmy9JRrXjlt394d8kh1hw+z0cPh1K2lHXHEUKI2/nr+F8siV7CqAaj6FOtT07zla9gxXgwZ0OniZb3Qtu7//WdfugQJ0eOIvvkKb46ZcuCKi15rHFFhrULws/dyXovRogSQpJpUbhVbAxDNliqfWz9zNLJq9fnUL6hVYfxcnVgZr+G/LzjNOP/iKDLx+uY2KsO3evlsWWvEEJYQdcqXfFw8KBNhTYQdwT+GAEnN0OVNtD143tqcqW15vyP84j7v3dJtHfhvRbPEtShFas7VKOit4u1XoIQJY7sKBCFn4MrPPABPLEAslJhdkdYPRGyM606jFKKh8MrsGRkS6r6uTHix92Mnr+HpPQsq44jRHGhlKqglFqjlDqglIpQSo00Oqai6pcjv3Am5Qw2yoY2ZZrB35NhZnM4fxB6zLC8/91DIp2ZbWbh7AVcmDCBPV6VmffMO7w/YQBT+oZKIi3EPZLSeKJoSbtk6Zy490cIqGuZpfavZfVhsk1mPl0TxSerowjwcGJK31AaVZYGBcK6inppPKVUGaCM1nqXUsod2An01FofuNHx8p59Y78c+YW3Nr/FYzUe45VynWDRcDgfYSkT2mUSuPvf9bnNZs0fW4/y4fpTnEy4TH9TNN2ee4SwKj5WfAVClAw3e8+WmWlRtDiXgl4zoe/3kHQWZrWGDR+D2WTVYexsbRjVoRo/PdsUO1vFI7M2M3nZITKzzVYdR4iiTGsdo7XelfPvZOAgUM7YqIqWpdFLmbB5Ai3KNGXshUvwZXtIuwiP/Ah9vr7rRFprzaoD53h7yDv4P/sIVVLjmPNUI8ZPfl4SaSGsTNZMi6KpZleo0NjSsGDlm3B4CfT6DLyqWHWYhpVK89eIlrz9xwGmrznKuiPxTOkbSpCfm1XHEaKoU0oFAvWBrQaHUmRsOLOBV9a/Qn2Pynx0YDP2l05C2NOWjdZOd1+mc9vxC3y8aDct/pjNw6d3c7luGLOeb4eDryTRQuQHmZkWRZebr6V1bq/PLesKP2sO27+01GK15jCOdkzqXZeZ/Rpw6mIqXT9Zz3dbTlCUl0gJYU1KKTfgV2CU1jrpP48NVkrtUErtiIuLMybAQkhrzZf/zCIYRz7952+cbR1h4FLo+tFdJ9IRZxMZOGcbL73/K4O+e4s2Z/biNXIkDefNlURaiHwkM9OiaFMK6j1i6f61cJilDuuhv6D7p+Bp3U+bu9QuQ/2KpRn7815eX7CfNYfOM6l3XXzcHK06jhBFiVLKHksi/b3W+rf/Pq61ngXMAsua6QIOr9BSpiw+TUgh8/gR3Fu8AK3Ggf3dlaWLjr/MRyuOsGjvWTyd7fmASMo5K8rP+BqX8HArRy6E+C/ZgCiKD60tM9Mr3gBbe7hvMtR92JJwW5HZrJm7OZp3lxzCw8mOSQ/VpX3Nu98gJEquYrABUQFzgQta61G3O17esyE6MZqZez7jjZhTuBz6C7pOgbCn7upcsUnpTF0VyU/bT+FuzmRQiAeP926Ju40Z8+XL2HnJpmkhrOlm79kyMy2KD6Wg0SCo2g4WDIXfB8OhPyy1WV2t9xGnjY1iYPPKNKvqw8h5u3l67g76NanIa/fXkta7oqRpDjwB7FNK7cm571Wt9WLjQiq8zl0+x6Dlg8hMiyfh5ElcOv/fXSXSl1Iz+ezvo8zdFI3JrHmuouaB32Zit9cGj0dboewcsXGUT8yEKCiSTIvix7sqDFwCm6bBmv+DGU2g21So8YBVh6ke4M7CYc35YNlhvlh/nE1HE5jatz51yt/9xiEhihKt9QbAuh/9FFMX0i8waPkgUtLi+Or0aSq0ehmaPn9H50jNzGbOxmhm/n2UlIxsetYry7DUCLKmfoCNhwcBH36AspNf60IUNNmAKIonG1toMRoGrwW3AJj3GPw+FNITrTqMo50trz1Qi++faUxqholeMzYyfU0UJnPRXT4lhLCu5MxkhqwYQkzSST49c5aajYZb1kjnUWa2mW82R9Pq/bVMXnaYxpW9WPxsOGO3f0/m++/gEhZG5QW/49qoUT6+CiHEzcifsKJ48w+BQavh70mw4SM4vg56Tre05rWi5kE+LB3Vktd+38/kZYf5+3AcHz5cjwpe0llMiJIuLjWOC4nRfHTuHA1DB0L7N/L0PJNZs2jvGT5acYRTF9JoVNmLz59oQMNKXujsbE7GxeE7ahTegwehbGRuTAijyNUnij87B2j/P3h6hWW3/Dc9YPE4yEy16jClXBz49LH6fNinHgdikrh/6np+331aSugJUUKZcppJVdn3O38dPUyrmg9Dl/duuylaa83KA7E8MG09o+fvxd3Rnq8HhjNvUGOq7vyb7IQElJ0dFed8hc+QZyWRFsJgcgWKkqN8GDy7HhoPgW2zYGYLOLXdqkMopXioYXmWjGxJ9QB3Rs/fy4h5e0hMzbLqOEKIws1kNvHKhleY8seTsGoCjrX7WDZD3yaR3nosgd4zN/PMNzvIyDbzyaP1+XN4C1qWcyVm3IvEvPoqF7//HgBlKxuehSgMJJkWJYuDC9w3CZ5cBKZM+KoTrHwLsjOtOkwFLxfmDW7C2E7VWLIvhvumrmPz0QSrjiGEKJy01vzf1v9jyfEleESthprdoOdMy16Om4g4m8iAOdvoO2sLpy+m8n+96rB8dCu61StLZuQRonv3JmnJEnxHjcRn2LACfDVCiNuRNdOiZKrSGoZuhKWvWtZSRy63dFIMqG21IexsbRjWLpiWwb6Mmr+Hx77cwuCWVRjTqRqOdjKjJERxNW33NH468hNPXUriad8m8NBXYHvjX7fHcxqu/JHTcOWV+2rQv1kgTvaW94iU9es5PWw4th4eVPx6jmwyFKIQkplpUXI5eVo2Iz46D1LOw6w2sP5DMGVbdZh6FUrx14gWPBJekc/XHaPX9E1ExiZbdQwhROEwZ/8cvtz3JX2SLzPKszb0/dayb+MGftpxik5T/mblgViGtQ1i3YttebZ11dxEGsCpdm08unSRah1CFGKSTAtR/T54bgvUuB9WTYA5XSDhqFWHcHGw490H6/DFk2GcS0qn6ycb+HrjcdmcKEQxUybpPN1SUnnNqQrq0flg73zdMWaz5v2lh3jxl39oVNmLv19sw9jO1fF0tgcg/fBhzr70EjorC7vSpSk76T3svL0L+qUIIfJIkmkhAFy9oc9cePBLiD8CnzWHrbPAbLbqMB1r+bN0VEuaVvVm/B8HGDBnO+eT0q06hhCi4F1IvwDH19Fl9Uf8n105bB//BRzdrjsuPcvE8Hm7mbH2KI+EV+DrgY3wc3cCLGutL/70E9EP9+Xyps1knj5d0C9DCHEXJJkW4gqloG4fyyx1YHNYMg6+6wWJ1v2F5ufuxJwB4bzdI4QtxxLoMnU9yyPOWXUMIUTB2XBmA11+6cSmX5+A0pWh3+/gXOq64+JTMnj0iy389U8Mr9xXg3cfrIO9reXXsCnlMmfHvci5N97EpWFDKi/4HcfKlQv4lQgh7oZsQBTivzzKwuO/wM45sOx1mNHUUgGk3qO3LWuVV0opnmgaSNOq3oyct4fB3+6kTXVfGlYsTe1yntQu54mvu6NVxhJC5J/d53czevVIAjNSqe3gBU8utHzS9R+RsckM/Ho78SkZzOzXgC61y1zz+NmxY0lZtw7fUSPxHjxYakcLUYSoorxmMywsTO/YscPoMERxduEYLHgOTm6GGl0tdWLdfK06RGa2mU9WR/LnPzEcj7+ce7+/hyO1y3oSUs6TOuU8qV3OgwAPJ5SVEnphPKXUTq11mNFxFJTi9p596MIhnlrSH+/0FL5OtsF74BLwLH/dcRsi4xn63U4c7W2Z3T+MehVKAZZlHZhMKDs70g8dwpSUJJsMhSjEbvaeLcm0ELdjNsHm6bD6bXB0tyTUtbrny1DJ6VkcOJvE/rNJ7D+TyP4ziRyNS8Gcc5l6uzrkJNce1C5rmcEuX9pZEuwiSpLpoisuNY7eC3vhkHaJbxKzKdN/MXhVue64edtO8vqC/VT1dWP2gDDKl3YBLMs6zr35JjYuLpR5e0JBhy+EuAs3e8+WZR5C3I6NLTQfAcEd4fdn4acnoG5fuO/9G66LvBfuTvY0ruJN4yr/fkycmpnNwZjk3OR6/9kkPv/7GNk5Gbansz21c5LrkHKe1C7rQaC3KzY2kmALkV980i/z6KWLdE7NoMyTf12XSJvNmknLDvH538doVc2X6Y/Vx93p32odZ0aOIvPkSXxHDEdrLX8QC1GESTItRF751YRnVsG6ybDuAzi+Hnp8CkHt83VYFwc7GlYqTcNKpXPvS88ycSQ2mX1nEtl/JomIs4nM2RhNpslSfcTN0Y5aZa/MXntQp5wnVXzdsJUEW4h7ciH9AskXjlLp52cYkpYMA/4C3+rXHJOWaWL0/D0sjThHvyYVGd8tBDtbG7TWXPr5Z2Lf+T9pwiJEMSLJtBB3wtYe2r4K1TrD70Pguwch7Gno9DY4uBZYGE72ttQtX4q65Uvl3peZbSbyfDIRZ5LYfzaRfWcS+WHbCdKzLAm2s70tNcu4WzY45iwRCfZ3y60mIIS4teTMZIYse4akC1H8cfkC9k8uhIA61xxzPjmdQXN38M+ZRF5/oCZPt6icO+ucHRfH+Unv49KwIWUnvy+1o4UoJmTNtBB3KysNVr0NW2ZA6UDoNRMqNjE6qmtkm8wci7+cs0TEsg474mwilzNNADjY2lCjjDshZf/d5FjN3/2aDmwi/8ia6aIjPTudIcueYW/cXqbGJ9Kqzzyo1OyaYw6fS+apr7dz4XImUx8JpVNIAACZp09jX64cSikyIiNxqFpVqnUIUQQVug2ISilbYAdwRmvdVSlVGZgHeAM7gSe01pm3OkdRfmMWxUj0Blgw1FKPutlwaPsa2BXesnZmsyY64fI1mxz3n0kkKd3SRt3ORhHs727Z5FjOk5CyntQq44GzgyTY1ibJdNGQZc5i1MphrD+7iUkJl7iv51yo2u6aY/4+Esfz3+/CxcGW2f3DqVPe07Ks45dfiJ34Dv6vv0bpPn0MegVCCGsojBsQRwIHAY+c25OAKVrreUqpmcDTwGdGBSdEngW2gKGbYNmrsHEqRK6AXp9DmbpGR3ZDNjaKKr5uVPF1o3u9soClRNfpi2k5a7AtmxxXHjzPTzssDWtsFAT5uV2zyTGknCdujrJSTBR/X+2ZybqYTfzvwiXue+Dz6xLpb7ecYPyiCKr5u/PVgDDKeDpbqnWMH0/Sn3/i2qwZ7m3bGhS9ECK/GfKbUClVHngAeAcYoywLytoBj+UcMhcYjyTToqhwdIfun1hqUS8aDl+0hdYvQ4vRYFv4E06lFBW8XKjg5cL9dSzNJLTWxCSm5ybXEWcS2RAVz2+7z+Q+r4qPa25yXSdnFtvTxd6olyGE9WWl88S+FVQ6n0CX+z6BGvfnPmQya/5v8UFmbzhOuxp+THu0Pm6OdtdW65AmLEIUe0b9lv8YeBFwz7ntDVzSWmfn3D4NlDMgLiHuTbXOlnbkf70AaybCkSWWWWqfYKMju2NKKcqWcqZsKefctZ8A55PSichZIrLvTCK7Tlzkj71ncx+v4OWcu8Gxdk6i7e1WeJe9CHEzvx/+mY47fsLt+N906TEDaj+U+1hqZjYjftzDyoOxDGgWyOsP1MQuZzNv9vnzmNPSpFqHECVEgSfTSqmuwHmt9U6lVJu7eP5gYDBAxYoVrRucENbg4gV95kDNrpakemYL6DAeGj0LxWB2ys/DCT8PJ9rW8Mu978LlTCJyKohcqSayZP+53MfLeDpdVUXEshbb38PJiPCFyJOv933Fh7umkHDhEs/c/wHUfzz3sdikdJ6eu50DZ5MY360WA5pXxpRymeRtW3Fv1w63li2pumwpNk7yMy5ESWDEzHRzoLtS6n7ACcua6alAKaWUXc7sdHngzI2erLWeBcwCy2aWgglZiLtQ+yGo1Nyy7GPpy3DoL+g5A0oVvz8CvVwdaBnsS8vgf1utJ6ZlEXH23+R6/5lEVh6M5cqeZ193R2qX/XeTY53ynpT1lHbpwni/Hv6FD3dNoUvKZQaGvwCNBuU+duBsEk/P3U5SWhZf9g+jXQ3/3GUdWWfOUHXFcuwDAiSRFqIEKfBkWmv9CvAKQM7M9Fit9eNKqZ+B3lgqevQHFhZ0bEJYnXsAPPYT7PrGskFxRjPo8i7U7wfFPGn0dLanWVUfmlX1yb3vckY2B2KSckv1RZxNZF1kPKacbo6lXez/Ta5zSvVV9HKRBFsUmGXHl/HWlrdokZrG/9V6GtsWo3IfW30oluE/7MbdyZ6fhzSjZhl3Lv78M7ET38HGw50KX36JfUDAzU8uhCiWCtPOqJeAeUqpicBuYLbB8QhhHUpBw/5QpTUseB4WDYNDf0K3aeDub3R0BcrV0Y7wQC/CA71y70vLNHHoXJKlVN/pRPafTWT2hmNkmSwJtruTHSE5GxyvJNqVfVylm6OwuszsDKZsfIP66el8VKUP9m1ezX3s643HmfDnAWqV9WB2/3D83B2JeeVVEhcswLVZU8q+/z52Pj63OLsQoriSpi1CFCSzGbZ+BivfsnRM7PoRhPQyOqpCJyPbRGRsSu4mx/1nkzgYk0RmtqWbo4uDLbXKePy7ybGcB0G+brkbwIoKqTNdyKx5lzMbJ+Ne7wk8un4MSmEya97+8wBfb4qmQ01/pj0aiouDZR4qYfZX6MwMS7UOW6nDLkRxV+iatlhDoX9jFuJm4g7D78/C2d1QuzfcP9mycVHcVJbJzNG4FPadTsytJhJxNom0LEs3R0c7G2qW8bBscMypJlLN3x0Hu8KbYEsyXTgcunCIpevfZsTuP7EJ7Wcpc2ljQ0pGNiN+3M3qQ+d5pkVlXr6vBsm//Yqdry/ubdoYHbYQooAVxqYtQpRcvtXh6RWw/iNY9z6c2Ajt/mdZCuJZ3ujoCiV7WxtqBHhQI8CDK33kTGbN8fiU3Fbp+88msnD3Wb7bcjLnOYrqAe65zWbqlPOkRoC0Sxf/ik6M5tnFT2KfkcwTId3x7j4NbGyISUzjqa93cCQ2mbd71uax2j6ce+klkv78E4/775dkWgiRS5JpIYxiaw9tXoJqneD3obDwOcv9HuWhYhPLfxUag38I2EjydyO2NoogP3eC/NzpWf//27vz6Cqrc4/j3ycTJCEhQJhDiIwOqAyRUb3ealu9eutYtXW4eG1xRKntUmt7W++6dajc2t5qJxUVtYITzqiljqgEBJmlogImoExlngN57h/71RMsRTic+Oac/D5r7cXJ+57znmezWA9P9rv3u8Oj6evqnOo1W6IniIQi+8X5yxn/Ts3nn+nZrkW0yDFMFTmkYzGF2s2xyVm+eTkjnj8P37GJu/IPoc0Z90JWNvOWrefise+wefsuxvxHJYNZy5KzztptExYRkc/ofw+RuHXqB5e9BcvnQnUV1FSFkep5j4fzeUXQ5SjoEhXYZZVhvrXsUVaWUVFaSEVpIacckdgufdm6rbuNYL++cCVPvBu2SzcLuznWX+R4WOdiiptrN8dMtWbbGkY8+x02bl/HmJyudDt7HGTnMum9FVw1biatC/N4/LKBHLRlNYtPP4es4iLK77uPwkHahEVEdqdiWqQxyMqGTn1DG3wpuMO6aqiZCtVToHoqvHYL4GDZ0OFwKB8C5YNCkV3cMeYONG5mRlmrAspaFXBin/DoMndn5cbtzI2eIDJv2QamLl7DU7MSuzl2bVOw+2YznVrSqjAvrm5ICi2c/SCrt6zkDmvPoec+gWfnMWbyIm6auIDDO7fk7gsH0L44H/ci2l41kpannqqndYjIHmkBoki62LoOlr4TjV5PhaXTYefWcK6ka2JaSPkQaHtwRuy2GIdVG7eHzWY+SYxi16zZ+vn5ziX5iUWOZaHQbluU3HbpWoD41XN37KOXYdx32NihD0UXPsPOnEJufHY+D1VVc+JhHfhlv3zW/PxndBo9mmbdDoo1XhFpPLQAUSTd5ZdAz6+HBrCrFj6dE6aFVE+Bj16FOY+Ec81bQtnAxNzrTv0hryC20NNJ26JmHNe7Hcf1TmyXvm7LjnrFdfjzpfkrPj8/6oSejDqhVxzhyn6oravlRxMv4msLJ3Nq294UnT+Bjd6cK8dO5/WFq7jkmIO4ZPN8Pj3vJrKLi9m1fl3cIYtIGlAxLZKusnOhbEBoQ64IU0PWLg4j15+NXr8yKbw3Kwc69q03ej0YWrTb6+UloaQgj2E9ShnWI3Gbf+O2Wt77JGw206+8JL7gZJ/UeR0//cvlvPL32QwrbAPnP8Wy7c25+P4pfLByE788qTtHPzuGFc89R+HQoXQafRs5bdrEHbaIpAEV0yKZwgxadwut73fDsS1roGZaNHpdBdPuhil3hnOtuyUWNZYPhtJeGb/FeSoVNc9lULc2DOqmgquxc3dufvWHTFxRxdVbjbO/+zyz1+Rw8di32F67i7EXDaT3i+NZPXHi50/rME2TEpF9pGJaJJMVtIbeJ4YGsHM7fDo7sajxg5dg9sPhXH6rqLiOFjV26ge5zeOLXSRF7njrRh6p+SsXbXUuPuc5XqyGUY9MobQwj4fPPpRePUupK/8+hUcPo6Bfv7jDFZE0o2JapCnJaQZdBoY2jDA15O8fJh7JVz0VFr4Q3pudFwrqzxY1dhkEhRqFlfTiqz8kd86jnJlljDrzae6eu5NbXpjHUe2ac+vHE6m78jZ2TZhAdotCFdIikhQV0yJNmRmU9gyt/wXh2ObV0SP5oqkhVX+At38bzrXpWW9DmcHQprumhkijtXnV+xQ+dCaX7djGjgue5SeTtzFuWjUXtqvlwpd+x/bqj2k78kqy8nUHRkSSp2JaRHZXWAoHnxwaQO1W+GRmYlHj356DmQ+GcwWluz+Sr+ORkKPnMEv8XlrwCDdX/YIxOzfR4ZwnuOyFzUxeuIpb8xfTd+wY6rQJi4ikiIppEdm73HzoOjQ0gLo6WL0wsaixuioU2AA5zcNj+D4fvR4Y5mKLfIXe+mgi10/9BYfX1pL7zXs4fcImFq/ezG1n9mHg/40na0B/Ot12mzZhEZGUUDEtIvsnKwvaHRzagOHh2MYViTnXNVVhWsibt4dzbQ9JLGosHwytKjQ1RBrMrJrJ/GDydfSoreWaPjdx5jNO+9WLePCCoxkyoIJdv/8dWS1aYNnZcYcqIhlCxbSIHLii9nDoqaEB7NgCy2YkRq/nPQkz7g/nWrRPTAspHwQdjgjPzBY5QItWzeXyl6+g3c6djCi7lnOez+eM5VO58J3HKc5bAANuI7tly7jDFJEMo2JaRFIvrwAOOiY0CFNDVi1IPJKvpgoWPBPO5RZA5wGJRY1djgo7OIrsj9qtdHr+Or65aRM92l7OyJdLuPGDx+j7fhWFQ4fQ/tpr445QRDKUimkRaXhZWdD+sNCO+l44tuGTxKLG6ikw+VfgdYCF99UfvW7ZRVND5J9asaGG5k+PpHjJ2/Qs+y9+N7kN9868k1ZrV9D26qvCJiya1iEiDUTFtIjEo7gT9DkjNIDtm2DZ9MSixjmPwPQx4VxRp3qLGgdB+z6QrfQlsHbzSkY8dTolW9czpOXV3Prhwfzw+PZ0XFlKu9tv1dM6RKTB6X8jEWkcmrWAbseFBlC3C1bMr7ehTBXMnxDO5bWAssrEosaySmhWFFfkEpNN29Zz6YR/Z9murRy5dihLp23g9usP44yBFfhpj2C6myEiXwEV0yLSOGVlQ8cjQhs0IhxbV7P7hjKv/xJwsKwwWv3ZtJAug6Fl51jDl4a1bccWRj5+Mgt3beas93sw6JUldNo0na47vw1UqJAWka+MimkRSR8lXUI7/Kzw87b1sPSdxKLGmQ/CtD+Fcy3Lo8I6mnvd7pBQoEv6c2f0k2cxo3Ytl79ZypCqxeSVFGsTFhGJhYppEUlfzVtCjxNCA9hVC8vnJkavF0+GuY+Fc82KoeyoxOh15wGQVxhf7JIcd/yvN/L9hVX0mNuLvnNWkjdoMF1/NVqbsIhILFRMi0jmyM6Fzv1DG3wZuMO6jxPTQmqmwqs3AQ5ZOeEZ159vhz4YijrE3QPZC3fn+ecv46Tp4/jrzuNZMvRC/vVfPqH9pZfoaR0iEhsV0yKSuczCjoutKuDIc8OxrWuh5p3Eosbp90LV78O5VhWJRY3lg6G0d3isnzQKv37yApa8OZOdi7uz5opb+MnxvTQ3WkRip2JaRJqW/FbQ6xuhAezcAcvnRBvKVMFHL8Oc8eFc85Jo1Dpa1Ni5P+TmxxZ6Y2Nm9wKnACvdvU9DftefHvsehePf5bL5zuY+B/OtYw9SIS0ijYKKaRFp2nLywqP1yiph6MgwNWTNot0fyffBS+G9WbnQqW+9DWUGQ2GTnqd7P3An8EBDfsmDf7yY7g+8Tce1sP284Qy44Uea1iEijYaKaRGR+sygTffQ+p0Xjm1Zk9ipsXoqTLsLptwZzrXuDsdcA/3Ojy/mmLj7G2ZW0ZDf8cqE39DzrrfJAnJ/dTuH/dtJDfl1IiL7TcW0iMiXKWgNvU8KDWDndvhkViiua6bqqSB7YWYjgBEA5eXl+/350pIOrDyumMMuvY+OvQ5NdXgiIgdMxbSIyP7KaRbmUZcPijuSRs/d7wLuAqisrPT9/fwRXzsXP+5sTAtBRaSRUnYSEZFGTYW0iDRmylAiIiIiIklSMS0iIkkxs3HAFKC3mS01s4vjjklE5KumOdMiIpIUd/9O3DGIiMRNI9MiIiIiIklSMS0iIiIikiQV0yIiIiIiSVIxLSIiIiKSJBXTIiIiIiJJUjEtIiIiIpIkFdMiIiIiIklSMS0iIiIikiQV0yIiIiIiSTJ3jzuGpJnZKuDjJD5aCqxOcTiNRSb3DTK7f+pb+kq2f13dvW2qg2mslLP/qUzun/qWvjK5fynN2WldTCfLzKa7e2XccTSETO4bZHb/1Lf0len9i1um//1mcv/Ut/SVyf1Ldd80zUNEREREJEkqpkVEREREktRUi+m74g6gAWVy3yCz+6e+pa9M71/cMv3vN5P7p76lr0zuX0r71iTnTIuIiIiIpEJTHZkWERERETlgTaqYNrN7zWylmc2LO5ZUM7MuZvaqmb1nZvPN7Oq4Y0oVM2tuZtPMbHbUt/+OO6ZUM7NsM5tpZs/FHUuqmdkSM5trZrPMbHrc8aSSmZWY2eNm9jczW2BmQ+KOKZMoZ6cv5e30lck5GxombzepaR5mdiywCXjA3fvEHU8qmVlHoKO7v2tmRcAM4DR3fy/m0A6YmRlQ6O6bzCwXeBO42t2rYg4tZczsGqASKHb3U+KOJ5XMbAlQ6e4Z97xSMxsLTHb3e8wsDyhw93Uxh5UxlLPTl/J2+srknA0Nk7eb1Mi0u78BrIk7jobg7p+6+7vR643AAqBzvFGlhgeboh9zo5YxvwWaWRlwMnBP3LHIvjOzlsCxwBgAd9+hQjq1lLPTl/K2NEYNlbebVDHdVJhZBdAPmBpzKCkT3U6bBawEJrl7xvQN+A1wLVAXcxwNxYG/mNkMMxsRdzApdBCwCrgvutV7j5kVxh2UpJ9MzNmgvJ3GMjVnQwPlbRXTGcbMWgBPAKPcfUPc8aSKu+9y975AGTDQzDLilq+ZnQKsdPcZccfSgI529/7AScAV0a37TJAD9Af+4O79gM3A9fGGJOkmU3M2KG+nsUzN2dBAeVvFdAaJ5qU9AfzZ3SfEHU9DiG7HvAqcGHMoqTIM+FY0R2088DUzeyjekFLL3ZdFf64EngQGxhtRyiwFltYbbXuckKRF9klTyNmgvJ1uMjhnQwPlbRXTGSJa7DEGWODut8cdTyqZWVszK4le5wNfB/4Wa1Ap4u4/dvcyd68AzgVecffzYw4rZcysMFpcRXQr7RtARjyZwd2XAzVm1js6dDyQEYvHpOFlcs4G5e10lck5Gxoub+cc6AXSiZmNA44DSs1sKfBzdx8Tb1QpMwy4AJgbzVEDuMHdJ8YXUsp0BMaaWTbhF8BH3T2jHkWUwdoDT4a6gRzgYXd/Md6QUmok8OdoRfgi4KKY48koytlpTXk7PWV6zoYGyNtN6tF4IiIiIiKppGkeIiIiIiJJUjEtIiIiIpIkFdMiIiIiIklSMS0iIiIikiQV0yIiIiIiSVIxLY2amb1mZpVfwfdcZWYLzOzPDf1dIiKZSjlbmqIm9ZxpaVrMLMfdd+7j2y8HTnD3pUl8jxEeM1m3v59tSI01LhGRPVHObpxxyZfTyLQcMDOriEYI7jaz+Wb2l2jHq91GKcysNNp+FTMbbmZPmdkkM1tiZlea2TVmNtPMqsysdb2vuMDMZpnZPDMbGH2+0MzuNbNp0WdOrXfdZ8zsFeDlPcR6TXSdeWY2Kjr2R6Ab8IKZ/eAL7x9uZk9H/fjAzH5er8/vm9kDhN2hupjZ6Oi6c83snHrXuC46NtvMbo2OdTezF81shplNNrODo+Pfjq4x28zeiI4dFvVzlpnNMbOee+nLnuK6v15cu/VPRJoe5WzlbEkxd1dTO6AGVAA7gb7Rz48C50evXwMqo9elwJLo9XDgQ6AIaAusBy6Nzv0aGFXv83dHr48F5kWvb673HSXAQqAwuu5SoPUe4hwAzI3e1wKYD/SLzi0BSvfwmeHAp0AbIJ+Q7CqjPtcBg6P3nQlMArIJO0hVE3YAOwl4GyiI3tc6+vNloGf0ehBhO1qi+Dp/1q/ozzuA86LXeVEce+zLHuIaAEyq15+SuP+9qKmpxduUs5Wz1VLbNDItqbLY3WdFr2cQEsSXedXdN7r7KkJifjY6PvcLnx8H4O5vAMVmVgJ8A7jewja8rwHNgfLo/ZPcfc0evu9o4El33+zum4AJwDH7EOckd/+7u2+NPnN0dPxjd6+qd+1x7r7L3VcArwNHAScA97n7lqgPa8ysBTAUeCyK/0+EJA7wFnC/mX2fkOQBpgA3mNl1QNcojr31pX5ci4BuZnaHmZ0IbNiH/opI5lPOVs6WFNGcaUmV7fVe7yL8Jg5h9OOzX9qa7+UzdfV+rmP3f5tf3PPeAQPOdPf3658ws0HA5v2K/Mvt6fs5gO/JAta5e99/+CL3S6M+nAzMMLMB7v6wmU2Njk00s0u+5Pqfx+Xua83sSOCbwKXA2cB/Jhm3iGQO5ex9p5wte6WRaWloSwi3rQDOSvIa5wCY2dHAendfD7wEjDQzi87124frTAZOM7MCMysETo+OfZmvm1nraE7haYSRiD1d+xwzyzaztoTbm9MItxEvMrOCKM7W7r4BWGxm346OWZQ8MbPu7j7V3X8GrCLMn+sGLHL33wJPA0fsa1/MrBTIcvcngJ8C/fehvyLSdC1BOVs5W/aLRqalof0v8KiZjQCeT/Ia28xsJpBL4jf0/wF+A8wxsyxgMXDK3i7i7u+a2f2EhAlwj7vP3IfvnwY8AZQBD7n7dDOr+MJ7ngSGALMJoyDXuvty4EUz6wtMN7MdwETgBuA84A9m9tOoX+Ojz46OFqsYYY7ebOA6woKeWmA5cHN06/Ef+rKHuDoD90V/RwA/3of+ikjTpZytnC37ydy/eDdERD5jZsMJi3GujDsWERHZO+VsiYOmeYiIiIiIJEkj0yIiIiIiSdLItIiIiIhIklRMi4iIiIgkScW0iIiIiEiSVEyLiIiIiCRJxbSIiIiISJJUTIuIiIiIJOn/AUgKairBazPsAAAAAElFTkSuQmCC",
"text/plain": [
"<Figure size 864x432 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"# test 2\n",
"# first order stencil\n",
"\n",
"n_grid_each_dir = 100\n",
"\n",
"stencil_order = 1\n",
"#stencil_order = 3\n",
"\n",
"sweep_type = 2 \n",
"\n",
"# only domain decomposition with\n",
"nsubdom = [1,2,4,6]\n",
"time_only_domain_decomp = [119.745,66.6102,42.9897,36.4134] \n",
"L1_error_only_domain_decomp = [] \n",
"Linf_error_only_domain_decomp = [] \n",
"\n",
"# only sweep parallelization\n",
"nsubproc = [1,2,4,6]\n",
"time_only_sweep_parallelization = [119.745,60.6498,37.7447,29.9794]\n",
"L1_error_only_sweep_parallelization = []\n",
"Linf_error_only_sweep_parallelization = []\n",
"\n",
"# speed up\n",
"dom_decomp_speedup = []\n",
"swp_para_speedup = []\n",
"\n",
"# calculate speedup rate\n",
"for i in range(len(time_only_domain_decomp)):\n",
" dom_decomp_speedup.append(time_only_domain_decomp[0]/time_only_domain_decomp[i])\n",
" swp_para_speedup.append(time_only_sweep_parallelization[0]/time_only_sweep_parallelization[i])\n",
"\n",
"fig, axs = plt.subplots(1,2, figsize=(12,6))\n",
"\n",
"# plot raw time\n",
"axs[0].plot(nsubdom,time_only_domain_decomp,label='domain decomposition')\n",
"axs[0].plot(nsubproc,time_only_sweep_parallelization,label='sweep parallelization')\n",
"axs[0].set_xlabel('number of processors')\n",
"axs[0].set_ylabel('time (s)')\n",
"axs[0].legend()\n",
"\n",
"# plot speedup\n",
"axs[1].plot(nsubdom,dom_decomp_speedup,label='domain decomposition')\n",
"axs[1].plot(nsubproc,swp_para_speedup,label='sweep parallelization')\n",
"axs[1].set_xlabel('number of processors')\n",
"axs[1].set_ylabel('speedup')\n",
"# plot perfect speedup\n",
"axs[1].plot(nsubdom,nsubdom,'--',label='perfect')\n",
"# plot 70 % speedup\n",
"nsubdom_70 = [1,1*0.7+1,1+3*0.7,1+5*0.7]\n",
"axs[1].plot(nsubdom,nsubdom_70,'--',label='70 %')\n",
"axs[1].legend()\n"
]
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Text(0.5, 1.0, 'number of iterations')"
]
},
"execution_count": 23,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 1296x432 with 4 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"# test 3 time par iteration\n",
"# first order stencil\n",
"\n",
"n_grid_each_dir = 100\n",
"\n",
"stencil_order = 1\n",
"#stencil_order = 3\n",
"\n",
"sweep_type = 2 \n",
"\n",
"# only domain decomposition with\n",
"nsubdom = [1,2,4,6]\n",
"time_only_domain_decomp = [122.169,77.0518,40.005,35.3397] \n",
"n_iter_dom_decomp = [39,45,46,47]\n",
"\n",
"# only sweep parallelization\n",
"nsubproc = [1,2,4,6]\n",
"time_only_sweep_parallelization = [102.32,55.6871,35.7869,27.649]\n",
"n_iter_swp_para = [39,39,39,39]\n",
"\n",
"# time par iteration\n",
"dom_decomp_time_par_iteration = []\n",
"swp_para_time_par_iteration = []\n",
"\n",
"# calculate time par iteration\n",
"for i in range(len(time_only_domain_decomp)):\n",
" dom_decomp_time_par_iteration.append(time_only_domain_decomp[i]/n_iter_dom_decomp[i])\n",
" swp_para_time_par_iteration.append(time_only_sweep_parallelization[i]/n_iter_swp_para[i])\n",
"\n",
"# speed up\n",
"dom_decomp_speedup = []\n",
"swp_para_speedup = []\n",
"# speed up par iteration\n",
"dom_decomp_speedup_par_iter = []\n",
"swp_para_speedup_par_iter = []\n",
"\n",
"\n",
"# calculate speedup rate\n",
"for i in range(len(time_only_domain_decomp)):\n",
" dom_decomp_speedup.append(time_only_domain_decomp[0]/time_only_domain_decomp[i])\n",
" swp_para_speedup.append(time_only_sweep_parallelization[0]/time_only_sweep_parallelization[i])\n",
"\n",
"# calculate time par iteration\n",
"for i in range(len(time_only_domain_decomp)):\n",
" dom_decomp_speedup_par_iter.append(dom_decomp_time_par_iteration[0]/dom_decomp_time_par_iteration[i])\n",
" swp_para_speedup_par_iter.append(swp_para_time_par_iteration[0]/swp_para_time_par_iteration[i])\n",
"\n",
"fig, axs = plt.subplots(1,4, figsize=(18,6))\n",
"\n",
"# plot raw time\n",
"axs[0].plot(nsubdom,time_only_domain_decomp,label='domain decomposition')\n",
"axs[0].plot(nsubproc,time_only_sweep_parallelization,label='sweep parallelization')\n",
"axs[0].set_xlabel('number of processors')\n",
"axs[0].set_ylabel('time (s)')\n",
"axs[0].legend()\n",
"# title\n",
"axs[0].set_title('time')\n",
"\n",
"# plot speedup\n",
"axs[1].plot(nsubdom,dom_decomp_speedup,label='domain decomposition')\n",
"axs[1].plot(nsubproc,swp_para_speedup,label='sweep parallelization')\n",
"axs[1].set_xlabel('number of processors')\n",
"axs[1].set_ylabel('speedup')\n",
"# plot perfect speedup\n",
"axs[1].plot(nsubdom,nsubdom,'--',label='perfect')\n",
"# plot 70 % speedup\n",
"nsubdom_70 = [1,1*0.7+1,1+3*0.7,1+5*0.7]\n",
"axs[1].plot(nsubdom,nsubdom_70,'--',label='70 %')\n",
"axs[1].legend()\n",
"# title\n",
"axs[1].set_title('speedup')\n",
"\n",
"# plot speed up par iteration\n",
"axs[2].plot(nsubdom,dom_decomp_speedup_par_iter,label='domain decomposition')\n",
"axs[2].plot(nsubproc,swp_para_speedup_par_iter,label='sweep parallelization')\n",
"axs[2].set_xlabel('number of processors')\n",
"axs[2].set_ylabel('speedup')\n",
"# plot perfect speedup\n",
"axs[2].plot(nsubdom,nsubdom,'--',label='perfect')\n",
"# plot 70 % speedup\n",
"nsubdom_70 = [1,1*0.7+1,1+3*0.7,1+5*0.7]\n",
"axs[2].plot(nsubdom,nsubdom_70,'--',label='70 %')\n",
"axs[2].legend()\n",
"# title\n",
"axs[2].set_title('speedup par iteration')\n",
"\n",
"# plot the number of iterations\n",
"axs[3].plot(nsubdom,n_iter_dom_decomp,label='domain decomposition')\n",
"axs[3].plot(nsubproc,n_iter_swp_para,label='sweep parallelization')\n",
"axs[3].set_xlabel('number of processors')\n",
"axs[3].set_ylabel('number of iterations')\n",
"axs[3].legend()\n",
"# title\n",
"axs[3].set_title('number of iterations')\n"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"# test 3\n",
"# third order stencil\n",
"\n",
"n_grid_each_dir = 100\n",
"\n",
"#stencil_order = 1\n",
"stencil_order = 3\n",
"\n",
"sweep_type = 2 \n",
"\n",
"# only domain decomposition with\n",
"nsubdom = [1,2,4,6]\n",
"time_only_domain_decomp = [] \n",
"L1_error_only_domain_decomp = [] \n",
"Linf_error_only_domain_decomp = [] \n",
"\n",
"# only sweep parallelization\n",
"nsubproc = [1,2,4,6]\n",
"time_only_sweep_parallelization = []\n",
"L1_error_only_sweep_parallelization = []\n",
"Linf_error_only_sweep_parallelization = []\n",
"\n",
"# speed up\n",
"dom_decomp_speedup = []\n",
"swp_para_speedup = []\n",
"\n",
"# calculate speedup rate\n",
"for i in range(len(time_only_domain_decomp)):\n",
" dom_decomp_speedup.append(time_only_domain_decomp[0]/time_only_domain_decomp[i])\n",
" swp_para_speedup.append(time_only_sweep_parallelization[0]/time_only_sweep_parallelization[i])\n",
"\n",
"fig, axs = plt.subplots(1,2, figsize=(12,6))\n",
"\n",
"# plot raw time\n",
"axs[0].plot(nsubdom,time_only_domain_decomp,label='domain decomposition')\n",
"axs[0].plot(nsubproc,time_only_sweep_parallelization,label='sweep parallelization')\n",
"axs[0].set_xlabel('number of processors')\n",
"axs[0].set_ylabel('time (s)')\n",
"axs[0].legend()\n",
"\n",
"# plot speedup\n",
"axs[1].plot(nsubdom,dom_decomp_speedup,label='domain decomposition')\n",
"axs[1].plot(nsubproc,swp_para_speedup,label='sweep parallelization')\n",
"axs[1].set_xlabel('number of processors')\n",
"axs[1].set_ylabel('speedup')\n",
"# plot perfect speedup\n",
"axs[1].plot(nsubdom,nsubdom,'--',label='perfect')\n",
"# plot 70 % speedup\n",
"nsubdom_70 = [1,1*0.7+1,1+3*0.7,1+5*0.7]\n",
"axs[1].plot(nsubdom,nsubdom_70,'--',label='70 %')\n",
"axs[1].legend()\n"
]
}
],
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