{ "cells": [ { "cell_type": "markdown", "id": "3622f46d", "metadata": {}, "source": [ "# Demagnetisation calculation" ] }, { "cell_type": "code", "execution_count": 1, "id": "fd7133fb", "metadata": {}, "outputs": [], "source": [ "import oommfc as oc\n", "import discretisedfield as df\n", "import micromagneticmodel as mm\n", "import numpy as np\n", "import matplotlib.pyplot as plt" ] }, { "cell_type": "code", "execution_count": 175, "id": "78bea694", "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "region = df.Region(p1=(-5e-9, -5e-9, -5e-9), p2=(5e-9, 5e-9, 5e-9))\n", "mesh = df.Mesh(region=region, cell=(1e-9, 1e-9, 1e-9))\n", "\n", "system = mm.System(name='Box2')\n", "\n", "system.energy = (mm.Exchange(A=8.78e-12)\n", " + mm.DMI(D=3e-3, crystalclass='T') #1.58e-3\n", " #+ mm.UniaxialAnisotropy(K=0.8e6, u=(0, 0, 1))\n", " + mm.Demag()\n", " + mm.Zeeman(H=(0, 0, 10e4)))\n", "\n", "def m_fun(pos):\n", " return 2 * np.random.rand(3) - 1\n", "\n", "system.m = df.Field(mesh, dim=3, value=(0, 0, 1), norm=1)\n", "system.m.z.plane(z=-5e-9).mpl()" ] }, { "cell_type": "code", "execution_count": 176, "id": "0089b368", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Running OOMMF (DockerOOMMFRunner) [2021/08/03 16:11]... (3.6 s)\n" ] } ], "source": [ "demag_oc = oc.compute(system.energy.demag.effective_field, system)" ] }, { "cell_type": "code", "execution_count": 177, "id": "922728f5", "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "demag_oc.plane(z=0).mpl()" ] }, { "cell_type": "code", "execution_count": 246, "id": "88824527", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "11.8 s ± 457 ms per loop (mean ± std. dev. of 7 runs, 1 loop each)\n" ] } ], "source": [ "%%timeit\n", "m_pad= system.m.pad(pad_width={'x': (0, system.m.mesh.n[0]**2),\n", " 'y': (0, system.m.mesh.n[1]**2),\n", " 'z': (0, system.m.mesh.n[2]**2)}, mode='constant')\n", "mft = m_pad.rfftn\n", "k = df.Field(mesh=mft.mesh, dim=3, value=lambda x: x)\n", "k2 = k @ k + 1e-11\n", "demag_ft = -mft + ((1/(1)) * k & (mft & k) / k2)\n", "demag = demag_ft.irfftn\n", "demag = df.Field(mesh=mesh, dim=3, value=demag.array[0:system.m.mesh.n[0],0:system.m.mesh.n[1],0:system.m.mesh.n[2],:])" ] }, { "cell_type": "code", "execution_count": 252, "id": "08f5dbcd", "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "demag.plane(z=0e-9).mpl()" ] }, { "cell_type": "code", "execution_count": 253, "id": "d5db418f", "metadata": {}, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAdgAAAF3CAYAAAAGk1qiAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjQuMiwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy8rg+JYAAAACXBIWXMAAAsTAAALEwEAmpwYAACgUElEQVR4nOydeXxU1fmHn3tnn8xM9h0ISQj7vgsiiHVlcUN+rlitikuttSpardalrtTa2mpbW9zRuosKroCICyL7DoGEhJB9m2Qymf3+/ggJCYEYksy9gZyHz/2QOffOfd/Z7ve+73nPOZKiKAoCgUAgEAi6FFlrBwQCgUAgOBkRAisQCAQCQRgQAisQCAQCQRgQAisQCAQCQRgQAisQCAQCQRgQAisQCAQCQRjQa+1ARwgVZ2ntAi84UzS1v6x0mKb2AXKqYrR2AbfbpLULmmO1erV2gYzoSk3tn5ewVVP7ADdEFmrtAnJSdljOGyru36nny0l7usiTE4sTUmAFAoFAoB4hQp16fk9NlQqBFQgEAkGbBJXOCWxPFZqe+roFAoFA0E5CiAn/OkJPjdwFGqEEQ4S8fm19CATx7MmnfuteTf0A8OUVU789h2BNndauEKz3ae2CQHBSIQS2B+Cr8XDgs11au0Hl5xvYddXTVH2+QVM/lECQoj++QOmzb2vqB4Dz0+8p/tOLmou9r7iKXVcs5MBT72rqB0DZTweoza3Q2g1BM0Kd/NdTEQIbRqqKvWxZoe2FQgkpfHPd22x6bDnVO0s09UXvsBCq8+DalKOpH7LZiGQyEHK5UYJBTX1pjFx1kTZN/XBtyoFgCMlo0NSPkD/IpidX8PXV/8O5p0xTX0r317Pz+ypNfeguBBWlU1tP5aQV2AMHtU1D1lb6ePT89fz3dzsp2qtd+k+SJfrMGARA9uvaRo4Rw9JBlnBvzyPk11bYGgUtWOvW1I9gjQvQXmDrDt302Eama+rHwa/24Cl1ETkgHkdWnGZ+BHwhFt2xk2ev3crGL8o18wOgsDhAIKCtSIVQOrX1VE5KgX393Vr6T8rj7Y9qNfPBHmNk3KwE/J4Qi+7Yhd+rXZqk70XD0FkMFK/OoXa/duMVdTYzln4phDx+6ncXaOYHgM4RAUDQ6dLUj0b7jf5ogRIMUbd1PwARIzI09SN7ccNNYNaVY5AkSTNfPvrbfvK3u0jKsDBkSrRmfuTk+Zk8s4Bf/qZEc5EVHD8npcCWlgfw+eDKm0s0FdmL7sogtX8EB3fX8cHTuZr5YbSb6XvBUAD2LtY4ih3RECG5NmubJtY5GiLGkFO77IKiKA32JQnZbtXMD09OMUGXB1NaPIZo7SLpotW51OVXY+sTTdIU7YR+5/dVfLmoAL1B4tqnB2G06DTxIyfPzxkXHyT/YICyiqCmAhtE6dTWUV5++WWmTJnC6NGjufPOO3G72844VVVVccYZZ7Bnz+GJLQKBAH/605+YPHkyEyZM4De/+Q2VleoEGielwP7uxmieeiCWYFBbkTWYZK59eiAGk8zKVw+ybZV20WPGJSOQjToOfrUHd1GNZn7YRjZcOOs2aXfDASBHHopga7SLYBWPD8UfQLZbkWTtfoqNfeI2LaNXRWHv6+sB6HfFaCRZm+i1ttLHK3fvBuCCO9PpPUibG47m4vqL0yx8+HIyZrN23xEtUsQrV65k0aJFvPrqq6xatQqn08lTTz11zOPXrVvH5ZdfTkFBy+zYm2++yfbt2/n0009ZuXIlwWCQhQsXdsin4+WkFFiAO27qHiKbkhXBxfc0XLhevXc3NeXaDIUwx0XQ+7xBKEGFfW9u1MQHAMuAXkgmA/V7Cwm66jXzoylFrOHwmKb+Vw3TwwB1mxtudiJGaiewZT8dwLmnDEuijdQztZkKVVEUXrtvD84yH0NOi2b6vFRN/DiauFos2l6qtShyWrJkCXPmzCE9PR273c5tt93GkiVLCB6lMHHdunXcdtttzJ8/v9W+/fv3EwqFmp4nyzJms7lDPh0vJ63AQvcR2dMuTWbEGbHUVvh55Z7dhELapHr6XToKSSeRv2wnngpthEU26IgYmgYhpanfTwsaU8RBDVPEjba1FNiQ14975wEkvUzEkD6a+ZH9WkP0mnnZaGS9NinZVW8UsXVlJfZYA/MeG6BJH3B3FFeAUCe3YxEIBKipqWm1uVwucnJy6NevX9Ox6enpuN1uSkpaj4bIyspi+fLlXHDBBa32zZ07l4MHDzJx4kTGjBlDXl4ed9xxR0fehuNG+08uzHQHkZUkiSv/1J/IBCM7vq1i5asHVfcBwJriIOWMLEK+IDlvb9bEB2jeD6tdmljXDVLE3WGITt32PJRAEMvA3shmoyY+VG4tonJzIcZoS1PFu9oc3FPHe0/uA+DqJwbgiFP/veiu4hpO1q5dy7hx41pts2fPpr6+vkWkabFYAKivb535ioyMPGZU6vP5mD59OqtXr+b7778nJSWFBx54IDwv6AhO7k/vEMcSWUVRKC4NqOKDLdrAL58cgCTBB0/ncmCHNhf2rCtGA5C3ZBu+Wo8mPnSHftimYTqaRrDaD9FpTA/bRmg3PCf7UN9rxiUj0JnUn73V5wny4h07CfgUpl+dypAp6qwSFQoplJQ1XH+6u7iGq8hp0qRJ7N69u9W2YsUKzGYzXu/hlaIahTUi4vgyPr///e8599xzSUhIIDo6mnvuuYdly5bhcoX/Gtx9PsEwczSR3bTNx50PqjfGbeAp0Zx5XW+CfoUX79yJ1x2k3hWgMFu9i7w9PZbEU9MJuP3sf38b0HCjoSamPvHoo234iirxlVSraruRw32wGkaw3WCITmOBk9rDcxq/c87sMkp/yENvMzZVuqtBKKiwf0tDsd8HC3MpzHbTa2AEF9yh3o3Gu5+4+Ncrzm4vrgBBpXNbR8jMzCQn5/Bog9zcXBwOBwkJCcd1nsLCQny+w7UvOp0OSZKQVSgs7F6fYpg5UmRvu6+MNz9wsXGreutpzro1jbShNopz6nn38X0sf/kg371brJp9gKwrG6LYnHc3E6j3s/vFtaqKrCRJLYbrKIqCv1Ld1H13GKYTOpQillUW2GC9j6DbS6DahXd/KXKEGUu/ZFV92Lt4A4F6f9OwsfQLh2Gwqbe2b/ZPTt54cC+bV1Tw9eJCDGaZa58ehMGoziXR71f4w+OVvPZObbcXVwhfH2xbzJ49m7feeovs7GxcLhfPPvssM2fOPG5hnDZtGs8++yyVlZW4XC6efvpppk2bhtUa/qFx3e+TDDN33BTNwj82iOx3PzWkSO99TL3pDPXGhh+yySrz7TvFfP7vfNYvKyPU0du8DhA9OIm4Mb3wOz2se+Azsl9Zh6dMXaFpTEnWbdhH0b8+pXbNbtVs+0srke0WkCSCNXUEa+pwLv1ONft1a7fjzTnYog82WOsm5FYnZR9ye9h/7ytUr2xYpDxieF8knbqXgqKv97HuD59S+PU+ZJOe9EtGqGp/3bJSDuxw8d/f7gDgkt9nkpyp3ljk/y6uYd9+P7n5gW4vrgBBpE5tHWH69Olcf/31zJ8/n2nTpmG321mwYAHQEJWOGjWKwsKfX+T+wQcfZMCAAcycOZMzzzwTo9HI448/3iGfjpcetVydoij8+9UaXnunZbT0xddulq92c8aU8P/AinPcbF5eQUyqmaJsNwG/grPMx951TvpPiAq7/foyF/kfb0dvbSjiKPsxHwDXgSosCeHvCwx5/Rz86xIkY8NXr+aHhkUIUm6dFXbbjVS/vxJ/YTnIMorPT8Hv/op1rIrFNbJM4R/+hXSoqMj50TdUVNXQ+5nfqWJeMujx5JbgyW2oxgzWuMl/7C3iL5mCJSsl7PYVRcF1oJrgnobpTK1Jdva/v5WYEcnEj+kddvsBX4iNn5cf+lvBYJapLPKw7ZtKhp4W/v5XV12Ih59uOSZ+yw4fd/+pgkd/H4vd1j1FVgvmzZvHvHnzWrWnpKSwcePRhxvu3t3yZt3hcPDYY4+Fxb+fo0d9kpIkcdmFNmaeGYHF3PKu6vd/qlBl+ExsLzOVRR6KslvOSLJumToTm1vibSghKF7dcialuvxqVezLJgP2cVk4v97aol1ScWiGffo4vNkH4NC4uFBdPaZM9cY8mjJSQVFQ6hu6JrzZB7BNGq7aeyAZWt5Xu7fnI8myKuIK4CmvI1h/eK5wV14VZT/lEz04SRX7u36ops55uLjR7wmx89sqkjPUiWCf+Xc1peUtx3JOGmfmpqsju624hpTObT2V7vlphpFIh45H7okle00a8+c50B26pq3f4uXdT8Jf8GIwylz2QBbXLByIsVk6aMPnZQT96sxXPOBX4+kzc3CLNpdKAgsQefpwrEPTWrTJRvWSKaas3hh6tSyUMGX2Us2+PsaBLsbRos1++ljV7B/5XstmI0nXna2afVd+yxVqbH2iGf/ETPQWdVby+WlpaYvHUy5N5o43RhLbK/yTD5SVB/nz84df/5QJZr79OJX3XkxmUH9thkm1By1SxCcDPU5gG0lO1PP8kwlsW9WHi2c2FJn84fFK/H51brfGz0rg7rdHkZjeMLarrjrAzh+qVbEtSRLDfjeVxMl9m9qOvOiF237KTech6Q9//SSDehGsJEnYzxh3uEGvw9gnUTX7cCiKPYR5SAaGpFjVbEs6GZpNRZhwxTQMcY42ntG1NM+WmOMjmPD0LIyR6sys4/ME2fxVQ82F0SLzy6cGcPmDWaoVNz3610pcdQpDBxr56LVkVn6QyiljLarY7gxCYDtGjxXYRvpnGnn7P8n8sKwXvVP0/HexevP0pmRFcM87oxhzXjwA6464sw4nsl5mzINnEzO8oXrUdaBaNdsApl5xxF40qenxkWnLcGM7dUSTTVNaMpJeXfvNU9ItxF4lGl+7OT2RmBnq2m+8mTPYTExYOAtrol0129tWVeJ1B0lMt7DgrVFMmK3ejVVOnp9PV7h58W8JbPiqNzN+EaHpikGC8NPjBbaR8aPMfPVuChPHqHMn3YjZpudXTw9k7n2ZbFtVic+j3jqpOpOecY+fhz09hvqSWgIeddfQjZ9zKoakhqXA1BZYnc2KdcIQQN30cCONNmWblQg1C6wOIRt0IEHyTTNUryB25VcjG3WMe+I8HBnqRe4A65aWMebceO55ZxSp/dUdHuX1Kmxe0Zur5zrQ6U4sYQ0pUqe2nooQ2GZIksSoYeqNxWtu9/SrUrn5X0Mp3KPucBmj3cyEhbMwx9uoK3Cqals2GUief07D3yr2wTbiOBQ5GlUscGrEeChFbJs6SvWbC2i4oYk+ZwzWAeq/9rqDTsb88Sxih6tTVNWI3xti8KnR/OovAzHb1H/PB/U3aroiTmcQKeKO0aOG6XR3Mkaq1w/WHEuCjYl/nqXJAgD20f1wTB6sah9sI6YBaRhS4lWtIG5EF2HBkByHfbp6xU3NMSREkXjldNXtBr0Bsq4ao8l6rwaTzKlz1Z1Q42QhKGKxDiEEVgCAvW8MtrRoTWwnXXcWqDxdIzRkDiJnTMaQHKe6bQDHjMkYU+I1sZ18/dnobOp2hwDIRh19Zgz++QMF3YqenObtDEJgBU1oVXBhiFGvyOVIbNNGa7bYuf30MZrYBVQb83okoqhH0JPodnF/eXk5p5xyCitXrtTaFUEPQCtx1dq2QHA8iD7YjtHtItj77ruP6upqrd0QCAQCwSGCirgZ7AjdSmDffPNNLBYLycmiEEEgEAi6C6Hul+w8Ieg271pubi4vvfQSDz74oNauCAQCgaAZIkXcMbpFBBsIBFiwYAH33XcfUVFRP3v8C05tCjSa89+cyZraL98X/lU/fg5LsfpDa47Ept166d0Gv029ZdaOxZYkbYaYNVKYqa19ADLUW/LwWNyoznoJgnbSLQT2+eefZ9CgQUydOlVrVwQCgUBwBKIPtmN0C4FdtmwZZWVlLFu2DACXy8Xvfvc7brrpJm644QaNvRMIBIKeTagHp3k7Q7cQ2M8++6zF4+nTp3P//fdz+umna+SRQCAQCBoRMzl1DPGuCQQCgUAQBrpFBHskK1as0NoFgUAgEBxC9MF2jG4psIKTF0VRusV0eYqiEPJ70RnVn4+3OaGAD0nSIem0r8juLp+NoPshxsF2DPGuneQooRCun9ajBNVbZ/aofgSDFH/+Prn/WYgS0taX+tICtj93N3kf/VdTPwAqtnzPtn8soHTtV1q7Qsmn71Lwzot4y0u0dgX35q0E3W6t3RAcIqhIndp6KkJgw0T1D3uoXLVDazeo/N97VLz6P2q++lpTPySdjvqC/fjKiqnL2a2pL3qrHSUYwFdTpakfAP7aKkBBZ9Z2LGvI76Nm+wZce7YjG42a+uI7cJCyF1+n6IlnCPl8mvriLaqi8LVvUELqr/bUnQgid2rrqZx0r3z/lho2flGuqQ/eoipyHv+A3IUfaS6ytlPGgSRR/dmX+Iq0jUwihzesfercsk5TP/QRdiRZh9/lRAmFNPWlQWDB6NBmqcBGandvJeTzYu3bD4OGvijBIOWL34JQiIhxozUVe29RFbvveYOiN7+jbOkGzfwAKN1fz3fvFmnqg+D4OakE1lcfZNEdu3jhNztY/MAevG5tUpGm5GhSrp4GIUVzkTWl98U+7VQIBKl4421NBcUxeDTIMq492wjWa5f+kyQZgz0KlBCBuhrN/ACaomiDXVuBrdnacNMTOUybBeAbcX65Av/BIgxJCUSd8wvN/GgUV39ZDfZRfYk7a7gmfiiKwg/vF/PYRetZ/EA2ORu1+b6GFLlTW0/lpHrlBrPMuTf2wWSV+fbtYp6Ys4EDO7WZSy/p4gmk/mp6txDZqJnnoI+Pw7c/n9qVqzXzQx9hw5Y5CCUYoGbnJs38gMOC5qvVNk3sr60GaBB8rXyoqaYudw+SwYh9oDZCAuArLMb52XKQJGKv+D8kg0ETP44U134PzEE2qe+LuybAojt28eq9e/C6Q0yek0TqgAjV/QCRIu4oJ9UrlySJSRcn8fv3RtNniI3inHqemruR5a8UENKgD6W7iKxsNBJ7+SUAVC/9DH9pmSZ+AEQOHwccjpi0olFg/RoKbMjvJeipQ2eyaFrNXLNtPSgK9kEjkI0mTXxQgkEqFr8FwSCO6adh6ttHEz+6i7ju2+Dk0QvWs35ZGdZIPTc8O5grHu6PyapNtbkocuoYJ5XANpKYbuWuN0dy5q96EfArvPt4Ds/N30ZNufoFE91FZM39MrBPmYTiD1Cx+B3NUsUR/QYjW6wNBU+V2gm9sRsIrK8xenVot3CDoig4u0F6uGbFN/jyC9DHxxF53tma+NAdxDUYUPjkH3k8feVmKgu9ZI2L5L4PRzPqrDhV/RB0DSelwALojTIX3ZXBb14cRmS8kR2rq/jT+evZvrqyxXGKEv7ItruIbNT556GLicabk0vt6u818UHW63EMHgVoW+zUmJLVspLYX1PZwhct8BQV4CsvQe+IxpqWqYkP/uJSqpd9cSg1PBfZqH7EqJW4Nr/+VBz08My8zSz9Rx6SBLN/25ffvjycmGRtx2pDwzjYzmw9lZP+lQ+aFM19S0Yz7PQYaiv8/OP6bbzz+D78vhCKorDkmf2q+HEska3LLiLo9qrig2wyEXvZHACqP1qGv7wCQPXq4sY0sXPrOhQlRLDerXpEbTwUNTb2gWpBo22jBgVOQXcdAM6tPwEQOWwMkqTe5SBY6yJY60IJhah4420IBLCfNglzZrpqPtRuzgO0E9dt31Syd31D0dK6ZaU8esF69m2oIbaXmTvfGMm5N/ZB1nWP9GpQkTu19VR6xCu3xxi56fkhXPpAPwwmmRWvHOSpuRvZ/WM1n79wgLUfqyMwRxPZ8s82U/L+j6rYB7AM7I9t0gQUn5+KN96hfvtOqj9eppp9AHNyb4yxCQRqqqjbu5MDb/2HkNejim1FCRH0uA9HsLWVeCpLKN+wShX7ALV5u3Fmb24qsDLYo1FCQYLeetV8KPz4TeoP5lG7fSMADpXTw/XbdlC97HNqV32HNzcPfWwMUbPOU81+3Z4icv/8MZ7CSk3EteKgh5fv2sX+zTW8+vvdLPrdLuprg4yfncB9H44mfUQ3WN+2GSGkTm09lR4zVaIkSUy9PIV+YyN58Y6dFOyq49lrtgKw+IFseg20kZIV/gq9pIsnAHBw0QpyF36EbGz4COLPG40hxhZ2+wDRF8ygfscuvNn7KMs7ACiEfH5VUnN+ZxV+ZyUR6f3xVZRy8L2XUYIN4qKzhH+yBUmSyVv6CrK+4X33VZWx942niR+n3pAQvdXG3g//3VRQVLNvKxWbVpN56W/RmSyq+BCoqSL/tX+gBIMY45MIeT14ig5gTu6tin33tp3Ub92OpG8o2om57BJkkzpjXhVF4eBLK/FX1LLrtpcJ1nlVFVe/L8R/fruTOmeAD/6ci6KAOULHpX/sx4TZiWG33xF6chTaGXrcu5baP4K73xnFoElRNHZ/+OpDvPCbHXhcAVV8SLxoPDFnDIWQQsjjJ+TxU/Tmd6rY9peVU7PiG3QOOwCKz4fi8+PN3quKfZ01gpLP3qNq3bcN9g9N4RjyqBe9xQ4/hdr9Oxvsh4IowQDm2CTV7JuiE0GSCfkaugbcRfuJ6JWJIUK9qCXoqW96731lxeS/+ndQKdJQ/H48u/aAoqD4A8hWK56du6jfvksV+7Ubc5vSw8E6L8bESDLuuUC1gqZ3n9hH3tZaABQFIiL13PPuqG4rrlry8ssvM2XKFEaPHs2dd96J+xjTZxYXF3PzzTczYcIEJk+ezCOPPILv0CxgiqLw9NNPM3HiRMaNG8ef/vQngipNHdvjBNbnCfL6H/aw8/vqFu0lufW8fn922IuegvU+9j74DpXLt7VoL/tsE56Dlcd4Vtehj4sFScKXX9Ci3b1tZ9htA8gGIykXXY1kaBmtBFUUWEfmMAy2qBZt5rhk1ezLej2m6PgWbbEjT1PNPrS+oUn4xQWYk3upYtuTvQ+l2RSIIbcb34GDGFUYmqOEFApe/LpFm6/EyY5bFlGfWxp2+2s/LuWbN1rOyFTnDPCvX++gOKf7zr2sxTjYlStXsmjRIl599VVWrVqF0+nkqaeeOuqxd911F0lJSXzzzTd8+OGHbN26leeeew6AxYsX8/XXX/PRRx+xbNkyNmzYwIsvvtjh9+J46HECazTruOrRAdzw7GBGnxOHwXT4LVj/aRkrXysMq32dxUi/B+bQ93czMMQ3i1iCIQpf/SastqEhVR513lnE/fIKJMPhHoL67TtVqagGMMUlknTeJS3a1IxgJVlH7IhTDz/WGzBGxqpmH8Ace1jQrcl9sSaqk5qFhqi9MXoGsA8eSdSYSarZd29rWUVvmzyRhJuvQxcR/i6CqlU7qM85XHMhGXQkzpnI4Od+hSU9Iay2C7PrWPzAnhZtGaMczL0vk9++PJykDG3no26LkCJ1ausIS5YsYc6cOaSnp2O327nttttYsmRJq+jT5/NhsVi46aabMJlMxMfHM2vWLDZu3Nh0nquvvpqEhATi4+OZP38+H3zwQaffk/bQY/pgm2MwyYw6K45RZ8XhcQXYsrKCdUvL2P5tFe89lUPfYXYyRoUvXSfpZGJ/MZzo0wZT9sl6iv73PUGXh6rVO6m7eAIR/cMfTUWMGYk+Noay/7xMsKaWYFU1/oOFGHulht02QOTQMbjz9uHctAaAoEpFTo1ED51AyY+fowT8mGOSVK2gBTDFJkF2w99xo9SOXg+/14aYeJLOm6vaMnWKolDfmC2RJKIvno39tMmq2A/5gxx87dBNrCwR+4thpFwxBWN8+FPzHleAF36zA199iF6DIhg3I4Ex58QT20v7ITjtIVyzMQUCgaOmfWVZJicnhzPPPLOpLT09HbfbTUlJCSkpKU3tRqORF154ocXzV65cycCBAwHIycmhX79+Lc6Tm5uryvKMPVJgm2O26Rk/K5HxsxKpq/az8ctyvn27iMR0CxFR4e2TkY16Ei+aQOxZIyh5Zw0lH/3EwZdWkvXYZapccEx9+5B0528oe+FlfAUHcW/bqZrAAiSedQGewny8pYWqRrAAenME0QPHUrntB1XTw4002jTYonBkDlPVdmO1sqTTk3rhPHQm9S7y/sIiglXVSGYz8ddcgWXwQNVsl3+6EV9xNZETs0i9eiqWtPiff1IXoCgKX71UwNjz4hk7I6FbR6rHIlzzCa9du5ZrrrmmVXtqaio6nQ6z+fB302JpKACsrz/2tUJRFB599FFycnJYuHBh0/FHnicUCuHz+TCZwjtzWY8X2OZERBk49ZJkTr0kWbV0KYDeZib1mmnEzxpD0RvfUrs5D8fIvurYjo4i8bc3U/Ham9Rv26HqBOuywUjqRfPY/+IzqvbBNhI7ckqDwMZqILCHbMaOmIwkqzv9XePNTOJZF2JOUu+GCqB+2070cTHE33AtxmT1inqCbi+1m/MYsPBKbEPUS8c3MuPXaWIx+6MwadIkdu8++vKVs2bNwus93JXRKKwREUcf7eHxeFiwYAG7d+/mtddeIza2odvHbDa3Oo9erw+7uEIP7INtL1r8GIxxdtJ+cy62gepe9GSTkbhrr8IysD/BmlpVbRtjE0iaMZeQimNAGzHHJmHrM0CTCNYYGYPOYiN66ETVbQc99TiGjCZylPq2Qx4PSXf8RlVxhYZumYw/XKSJuEqSdMKLaxCpU1tHyMzMJCcnp+lxbm4uDoeDhITWfeXV1dVceeWVVFdX89Zbb9G7d+8W58nNzW1xnoyMjA75dLwIge2GyGb1p4qTZJmomecgq1BociSOwaOwDxqpul1oiGJNKg7RaUSSZJImz0RvVn91FJ3VRtJ5l2hy0Y+aeQ46m/qvWTYZTniR0xItlqubPXs2b731FtnZ2bhcLp599llmzpyJLLc8n6Io3HrrrcTFxbFo0SKioqJanWfRokUUFxdTXl7Ov//9b84///yOvhXHhUgRC1og6bRZrcPaW70p8ppj7zsQtcZ/Hkn0YG0m1zcnpvz8QWFCq++XoHN0NArtDNOnT6egoID58+dTU1PD1KlTWbBgAQCFhYXMmDGDpUuXUlxczNq1azGZTIwfP77p+YMHD2bx4sVcfvnllJeXM2fOHPx+P7NmzTpqv284kBQ1Oxu7iH/tnqq1C/w3Z7Km9sv3abcCSyOWYu0vlgZtlvvtVvjVmQCsTeqT1Bm4fyziMsM/hvznuC5Dncli2uLGAeGZ8vPxHZ2bxvL3g9WdjrW7ICJYgUAgELRJuKqIT3aEwAoEAoGgTcRcxB1DCKxAIBAI2qQnr4jTGYTACgQCgaBNRATbMU5IgV1Wqu7MN0dD6yKjyF3aFxg5Dqiz+lBbGKv9WrugOb4wzzjWHmqqtb2UlKN90d8ym/bXpRsHaO2BoDknpMAKBAKBQD06OmF/T0cIrEAgEAjaJFyT/Z/sCIEVCAQCQZuICLZjCIEVCAQCQZuERATbIcS7JhAIBAJBGBARrEAgEAjaJChSxB1CCKxAIBAI2kT0wXYMIbACgUAgaBMxF3HHEO+aQFVCIe0np2hEUUJau4CihOguC1opitKtPh+B4ERHCGwYCNXXE6r3aO0GAGWbVlGdvUlrN/DUVbB9zSL2bflQa1eoqs7hux8XsnP3e1q7Qln5Dlb/8Cdy9i/X2hWqSnayYcWfqSzZqbUreJ0VHFjxP0IB7WfqUhSFQLVTazc0JYjUqa2nclKliKt3l6K3GrH1jtLUj8r3P8azO5vYy+ZgGaTd3GXu0gMUfbcEpIb7qKiskZr5giTjLN9HKBQkJX0yEZHJmrliMETg9VbjqivWzIdGXHXFBAIeZFnbe91QKEjujmV43JX4PLWa+uJ1VpDz4fP4XVUYIqJImnCOZr4EKiqpePNd/GXlpPz+d8hms2a++Ot8VG4pJPGUvqrbFn2wHeOkiWAVRWHr06tYedUbrH/wc5x7y7Xxwx8gUF5BsKqa0uf/S/nitwm56zXxxZrQm+RJs0AJkf/l65pGsmZrNCmZpwEKuTs+0TQtarXEIUk66txlmqdEXXVFANgitLvhACjO+5F6VylWRzKJfcZq5kdzcbX17k/CmOma+KGEQtR+8x2Fjz2NZ3c2BIIEyis08cVbXc+uRT+y/JJX+eneT3GXqH8DFFLkTm09lZMmgg35Q0QPTaImt5LCFXspXLGXhFPSyLpyDDHD1Lt4SQY9ibfOx/XtGqqWLKVuzU94du4m5tKLsQ4drJofjcSPOh2Aou8/Jv/L1wHtItleWdMoyVtLdVk2VaW7iUkcqIkfsqwjwhqPq64Yd305togkTfwAcLlKADT1IeCvJ3/3FwBkDJmJJGlzQTxSXPuedy2y3qi6H/6ycireeAfv3hwAIiaOI+bCWchWi6p+1Je62PfWJvI/3k7Q03AjmDChDyGv+jeFYrm6jnHSCKzOqGPob6aQNW8sue9sJveDrZT+kEfpD3nEjEgh66oxxI/rjSSF/4siyTL20yZhGTKQijffxbM7m7J/v0TE2FFEzzkfXURE2H1ozrFEVlEUAvUuDFa7Kn7o9WbSBp7F3i3vk7v9E6LjsyjOX0tS2gTVL+q2iCRcdcW4XMW43eVYrfHYIhJVs78//2tSksfh8Vah15kxmSJVs91I0f41JKWN58Ce5QR8bqITBxIVn6WafUUJEayvQ2+1dwtxVUIhar/+lupPPkPx+9FFR2nSzeM6UM2+NzZw4PPdKIEQSJByej/6XTGayP7xqvoi6BwnjcA2YoqyMPD6iWReNor9H24j553NVG4u5MfNhUT2j6fflWNIPi0DSZbw1Xoo+zGf1F/0D4sv+tgYEm65HtcPa6n64BPq1m2kfnc2MXMvJGLkcJRgkNpV3+KYPjUs9ptzNJE1RSdQtmE5fc66Kuz2G0nsM47C3O9x1xaTs/1jivf/SGRsBla7OuJWU3OA4tLNhJQgADn7v8TjrWbS+LtUsd9Iadk2Cot+AsBotJF34Gv0egu9Uiaq5sPBfatw1xRTnP8jSDLpg2eoZhvAuXcz3uoyovqP0URcvQcKCNW5sQzsj7+4lIo33sabmweAbfJEos+fgWwJX5+r60A19SW1xI/tDYBzbzl7X19P4df7IKQg6WV6nzeIfleM1ryuREw00TFOOoFtxGAzkXXlGDIuGUH+0p3se3MDzj1lrH/gMyL6RJF1xWgSTunLhoe/xFtVT8YlI8LihyRJ2CdNwDJoAJX/e4/6HbsoX/Qa7lHDcZwxjaoPl6KPj8M6bEhY7DfnSJGNSOpLXVEOcaNOxxrfK+z2Q6EAPk8tiWnjyd32EUW53wNQU5mnmsDa7ansyv6wqcDJ460GJIwmdaL4RsymSMoP9b+668vJ3b+CCeN+q5p9v9eFp66CorqGzyAmcRCSrCfg96A3hL+QJxQMULxmGQCVO35UXVwDTidlL7yM4/TT8B04SPWyLyAQQB8bQ8xll2AZ0C+s9qt3lvDjgk8YfMtkKrcWkf36ekp/aBB32aQnbdZgMv9vJJZEdb+Xx6In96N2hpNWYBvRmfSkXzSMtNmDOfhVNntf34Arv4pNj6/AHNeQqt3+92/xVroZeMPEsKWQ9dFRxN94LXVr11P13ke4N27BvXU7KArlL79B0u23YOyVEhbbzWkusnVFDX1MxT98QsbsG8NuGyT271hKeeGWFq21VXkkpY1XwT5Ikkx62hls3bG4qc1kdCBL6i5gf2RKOClxFFZLrGr2a6ryWjyuLNmJu7aEoZNuUEVgK3eswVdzuGhITXEN+XyUvfAywWonVR8vg0AQJAn71FOJmnUOsskUVvula/NZd/+nBOsD7HphDZ7yOgD0NiPpFw4j/ZIRmKLU7e/9OUQVccc46QW2EVmvo/c5A+l11gCKV+eQ/fp6nLvLmvbvXbwBb5Wb4XeejqwPz92aJEnYJozFPLA/Fa/9r6E6EVB8PkpfeInkO29F53CExTY0VFpX7vyRqj0bWrS7Duyh9sAe7L3DkypvRJZ1DBh9GZKsp6zgsA81lXltPKvriYsdhN2WQq2rEACTWf3+z+YCK0kyfftMU9V+bWV+i8eWiDiGTpqPyRL+9yLo81D60xct2jwVxRSvWUbi+HPRGcMncIqiUPH62/jyCxoaAkF0Djtx116FOTM9bHYbKfhyD5seW44SbJjkxFNehzHaQsYlI+h7wVAMtvCKe0cRRU4do8fF/ZIskXRaBr3OGsCR35kDy3ax7g+fEvCEb3C7EgxS9+M6vPtbXuCCVdWU/ucVFH/4bEuSRFTmCBxpg5D0hhb7in/4RJWZjSRZR/9Rc0nsczhirXeVEvC5w267yQdJIj3tjKbHZg0KjMzmqKa/kxPHYLHEqGq/eQRrtScybPJNqogrQPmmVQTqXS3arIl9iBl8SljFFcD56Ze4N25u0RasqaV29fcEnDVhtb3v7U1sfOTLJnFtJGZoEukXDeu24iroOD1OYAFqcyqpza0kZlgyxuiWqZiS7/ez5vaP8DnDMxOTpNMRMWYkUbPOxTywP+gOpyZ9+/OpeOOdsI4R1ZksJE08j4FX3kvMkFOaJqGoLyvAuXfzzzy7a5AkmX4jLiI5fVJTW231AVVsNxIbMwCHvaHfWYsK3kZRlySd6tFrKBTEdej9johMYdikGzGa1enrC7hrKdv0ddNja3I6mRfdSt/zrsUcE95++Lr1m3B++mWLNkNKMo6zz8AxbQo6uy0sdhVFYcc/v2fHP75r0a4z63FkxSEb9ZT8oG4W53gJKVKntp5Kj0kRN8eRGcuIBac3PfbVeqjLr8aVX4UrvxpXfjVb/vw1w24/DVOMtcvt62NjcEydjGPqZEIeD/W79lC/bSf123dSt24jhqREIs8+4+dP1AkMEZH0mnYJcSOmUvLjMpz7tlC8ZhmOjGHIuvB/LSRJJmPo+ciygYP7VlFTmUd0gnrDIRqi2F+wedvLmkSwjaKekjSmRTSrBu6aIkJBP/boPgyZcC16Y9d/x49FybovCfm9mGKSSD5lBva0waoMnfPuz6di8Vug12HO6od16GAsQwehj4kOq91QIMSeV37CmV1G34uGYesdhS0tGlvvKMzxNiT5xBAfUeTUMXqkwB6J0W7GOCSJ6CHqD/aXzWYiRg5vGLYTCuHLy8e9fRe+omKMyeH3xxydQNo5v6SueD/FPyylcsePxA2bHHa70CByfQefh6wzUFul/h18THQ/Ih19NIlgTUYHsmwgTeXoFRrSw46YvgyecK0qBU2NeJ3l1ObtpNf0S4keMBZJpekhQ14f9dt2EHf1FZgHZoW9iKk5sl5m4K8mqGYvXPTkKLQzCIHtRkiyjCm9L6b0vqrbjkjqS8YFN1NfflBVu5IkkTbwLIpyv0dRQqpOONEYxer16vd9ybKOvn1O1yR61umMDJl4HTq1J3IIBOh/2V2qTyAhm4xEzdRuPmNBz0UIrKAJSZJUGQ97NJLTJ2kyP3F0VIZmy9b16XWqJnYTeo9VJS17JOZY7aaDFHQOUUXcMYTACroNWlz0JUlCUnkMbCOyrI1dLd5nwYmNSBF3DCGwAoFAIGgTIbAdQ5SGCQQCgaBNtBqm8/LLLzNlyhRGjx7NnXfeidt99PHyxcXF3HzzzUyYMIHJkyfzyCOP4PP5APD5fDz66KOceuqpjB8/nhtvvJHCwsIO+3Q8CIEVCAQCQbdj5cqVLFq0iFdffZVVq1bhdDp56qmnjnrsXXfdRVJSEt988w0ffvghW7du5bnnngPg3//+N1u3buXDDz9k9erVJCQkcMcdd6jyGoTACgQCgaBNtIhglyxZwpw5c0hPT8dut3PbbbexZMkSgsFgi+N8Ph8Wi4WbbroJk8lEfHw8s2bNYuPGjQC43W5uvvlm4uLiMJlMXHHFFWzZsoVQKPzFjd2mD3bdunU8+eST5OTkEB0dzXXXXcell16qtVsCgUDQ4wlXFXEgEDhq2leWZXJycjjzzDOb2tLT03G73ZSUlJCScnhhFKPRyAsvvNDi+StXrmTgwIEA3H333S32rVixgqysLGQVxmF3C4F1Op3cfPPN3H///cyYMYOdO3dyzTXX0KdPHyZNmvTzJxAIBAJB2AhXkdPatWu55pprWrWnpqai0+kwmw9PhGKxNExrW19ff8zzKYrCo48+Sk5ODgsXLmy1f9myZfz73/9uJcjholsIbGFhIVOnTmXWrFkADBkyhAkTJrBhwwYhsAKBQKAx4RLYSZMmsXv37qPumzVrFl6vt+lxo7BGREQc9XiPx8OCBQvYvXs3r732GrGxLZd/fOGFF/j3v//Ns88+y/jx6iyP2S0EdtCgQS3uNpxOJ+vWreP8888/6vE5VequPHI0LMXajGFsxHEgoKl9gIi9VVq7AOXVWnugOYa4KK1dAMI7p+/P4YvS/lKW00f769LJRGZmJjk5OU2Pc3NzcTgcJCQktDq2urqa6667DqvVyltvvUVUVFTTvlAoxAMPPMB3333H4sWLm1LHatDtipxqa2u58cYbGTJkCNOnT9faHYFAIOjxaFHkNHv2bN566y2ys7NxuVw8++yzzJw5s1XfqaIo3HrrrcTFxbFo0aIW4grwj3/8gx9++IG3335bVXGFbhLBNnLgwAFuvPFGevfuzV//+ldVOqEFAoFA0DZaTDQxffp0CgoKmD9/PjU1NUydOpUFCxYADd2KM2bMYOnSpRQXF7N27VpMJlOL1O/gwYN55ZVXePHFFwkEApx11lktzv/dd99htYZ3JaluI7Dbt2/nuuuuY/bs2dx9991CXAUCgaCboGg0k9O8efOYN29eq/aUlJSmYTgpKSnH7McF2LRpU7jc+1m6hcCWl5dz3XXXcc0113DDDTdo7Y5AIBAIBJ2mW4SJ7777LpWVlfzzn/9k1KhRTdszzzyjtWsCgUDQ4wkhdWrrqXSLCPbGG2/kxhtv1NoNgUAgEBwFMdl/x+gWAisQCASC7otWfbAnOkJgBQKBQNAmIoLtGN2iD1YgEAgEgpMNEcEKBAKBoE1EirhjCIEVqIaiKEiS1OpvLQkqAWRkJEn9ZE5A8aOXDKrbPZLu+LkIuhciRdwxTpoUsRJSUBRFazdQgkGqN/1I0HPsFR/UIuD3sHPtq9RWH9DaFUJKkM0FH1Ds3AnAvrLVmn1e3pCbnLoNFHr2sKF6GUFFm3mdt9d8Tbk3n521q3H6SzXxASC3Yg2BkA+3r4q1+1/H7dN+jmmf18XeLR9QVbpHa1dQQiFc+3biLSvW2hWg4Vqnuk2lc1tP5aSJYJ3fbKV08SpsI9OJGJFOxPB09I7wToN1NOpydlG89C1KPn8PW/9hRA4bS0RGfyRZ/cUBCnO/o6J4GxXF24jvNZq+g87BZIkCoLosm8i4fqpFK2W1eymp3U1p7R4CIS85FWuwmmJIiRyqin1oiM72uzfhUzzsd29qag8R/oWXj4Yn5GK9cykA7mANDn08fSxDMOmOvlpIOPD6XeSUfYeERH7Vejz+GvaVfcew1Jmq+VBdlk1UfBYAoaCfwpxvOZC9kmDAg6v6AFHxWZpE1d7SIpxbf6Jm2wYCrhoiR04gecb/qe5HyB+gfmcBrs051G3OxZAYRe+7LlbXhx48lrUznDQCW7+nEH9pNVVfbKTqi40ggTkjCduIDCJGZmAd1BvZ2PLl1u8tQhdpxRgf2WV+6CwR2LKG4Nq3k9odG6ndsRFdhJ3IoWNwDB+LOeHwQsHlq78gZuI0ZIOxy+w3JzVjCgAF2SspK9hAReEWUvtNJbXfVA7uW0112V7SBp2jysUr0TGA/gnT2VO6gu1FnwKwt/QbkuwDkWV1voaSJGHTx7DBuaxFu6KRwCrKYbvlvnzMsk1VcQXYV/4tQcXPntKVAMRG9GVw8tmq2a8u28uOH19i4nmPUFG0lf07PsVb3xBBx6WMoO+gc8P2/VQUBeemH7GmZWKMiQcgUOeiZvsGnFvX4S0uaDrWlJiKJblPl9oP+QLUbcnFPjarlV/evFJcm3Ko25RL3fY8FN/hLEvAWSdS+ScIJ43AJl1/NjHnjW34Um7OpW7rfjz7ivHsK6b8/e+RjHqsg/tgG5FOxMh0zH2TUPwB9t7yTxIum0rsrPFI+s5HmZZefek191cE6mqp2b4R55af8JYcpPLHr6n88WtMialEDh+LY8ho6vbvoWbnJlIvuhpTXGIXvAst0emN9Ol/Bkl9xpG363NK8tdxYM9yivN+REKiqnQXsk5PnwFndrntIwmG/FiN0ZgNDjz+GgDq/U4OVG0kLXZc2O03Em9Ko5d5EAWenU1tzYVOTZoLu0V2MMCm7trHdd4KCqo2tWiLjcggEPKik8PfN+ysyGXH2pcIhQJsXv0P6pwHAbBH9yF9yCwcMWlhsx3yeSn+9F1qtq2n320PUbNrMzVb1uHatxNCDZ9L043xsLGYE1N+5ozHh2tTDkX//hT7xAHYx2bhL6/BtTmXuk05uDbnEnTWHT5YlrAMSG0KFiz9U1UXV1Hk1DEkpTt0XB4nQz964GePUQJB6rMLmwTXvbsAmvVd6CKtWAf2ovbHhj4eU98EUm6agXVgr3b5EFzb/vUvPaWF1Gxdh3PreoJ1tQ2NsoysNxDyeZEMRpLOnUPksLHtPmfc1uPvN3Q5C8nd/gnO8r0t2vsOPo9e/aYd9/mOZz3YOm8Fe0pXUlqb3aLdoLNwWr+b0OtMx20f6NB6sIGQj+8r36Y+1PBZTIm9AqvO0TH7neC7irdwBSsBGB91PtHGDl7EO7ge7KaCDyip2dWiLcIYS//E00mwZx3jWUenrt/xrQdbW5XPth/+QzBweEFtkyWavoPPJS5lxHELSPmw9scK3tIiDr7/Cr6Khn5v2WIlVO8GQNLpsfUfSuTwsURkDDiurh3d+J//PfirXJS8+CXOb7YBYB3Um0CtG19BRYvjjCkxRIzIaOjyGtoXnc3cLh+2zX643f4eDyOX3t+p52+a8UgXeXJicdJEsEci6XVYB/XGOqg3XDaVoNtL3db91G3OxbU5B19BRZO4Anj3l5J790tEnz2ahKumo7dbuswXc0IK5jNmE3/6DOpy9uDcug7Xnq2EfA0XF8Xvo+ijN3Dn7yPxrAvDljK2RaaQmjkFV1U+waCvqX3/jmXIsoGUjMlhsQsQYYplVO85VLkL2FOykur6hvSbP1hPbsWPZCWcFjbbR6KXjQx1TOen6iWA9hFsX+vIjotrB6muL2whria9jX7xU0iJGo4c5opql7OQbWsWtRBXgPjUEcQmDwtrdFa9eS0ln72HEvA3tYXq3Vh69SVy2Djsg0eiM3fdb78RJRii6osNlLy2glDd4dft3tlQgKhzWIkYkX4ow5bRpd1WXcGJF4Z1D05agT0SndWEY8IAHBMGAOArc5L3wOv4CitbHFf1+QZq1uwi6ZoziZzWtT92SdZh6zcIS+90CmqqqS/IbbHfuelHPIX5pFx0NabYhC6z24jHXUn5wS0YzHaCdS3vmHO2LUHW6UlKm9DldpsTbe3F+L5XUubay57Sr6nzlpNXsZY+MaMx6W1htd2cGGMKfa0j2O/erFkfbIgQNl0M/SLUS5FDQx/fnpKGPle9bCI97hTSYsaqkhauqyluiFz9Lavs9UYrdbUlVJftISZxUJfbDfl9lHz2Hs4tP7XaJ5stJJ51Iebk3l1uF6A+p4ii55dRn13Yeqcs0ecPl2IblYkkizTsyUaPEdgjqVq2Dn95DTqbGcmgb9iMOuRDf1d9uRF/RS1xF0zskr7Z5tRu34je7sCa3p+Qp56gp56Qt+F/b2kReS8+Q9J5l+AYMrpL7ZqtMfQf3VAF6fe6qKnKp7Yyj5qqPFzVB9i7+X1kWU9C7zFdavdIJEkiwZ5FvC2TQuc29pZ+w76ybxmcfE5Y7R5Jv4jxlHvzCWkUwUpIDHOcgU5S92dYXpeDs/4gfWMnkB47EaNenWr7elcZ2354gYDPjdWRjCO6D/boNBwxaZgj4sIWuXrLSxpSwoeG2cgmM7LZgs5sRWc2I5ssOLeuwxiX2OXZI9fGfZR/8APIMubMJBRfgJA/iOIPoPgCKP4gZf/7Buug3uisHewmUQHRB9sxeqzAJsybTuLVZ2hiO2r0KUSNPqVVu6IoKH5fg+B66lGCASRdeD4ig8lGbNJgYpMGAxAKBXHXFFFbfQC/14XBFP5oUpJkUqOGk+QYxIGqjfgCbtUu9gA6Sc8wxxmaVWNmWEfjMMSpalNRFNzeSk7tNx+LQb00pKKEqKnMY8Doy7BF9UZvaF+fYlcgyTK95l6HzmxBNpqQZPWG/9tGZWIblfmzx3X3UhghsB2jxwpsdyxxlyQJyWhCNprAEaWqbVnWYYvqhS2qfUVeXYlONtA3drzqdgEchnjNLm4p5gGq25QkSdWq7cN2ZRL7tL+IrytpHILTnemO16PmiJmcOkaPFViBoBGtLm7d/aIqEDTSzQPsbstJM1WiQCAQCATdCRHBCgQCgaBNRB9sxxARrEAgEAjaRFGkTm0nGv/4xz+or2+9YIvL5eLxxx9v93mEwAoEAoGgTZRObicClZWVFBYWUlhYyHPPPUdOTk7T48ZtzZo1vPnmm+0+p0gRCwQCgaBNTsQo9Hj55ptvuOeee5qKD+fMmXPU4848s/1ztwuBFQgEAkGP54ILLqBPnz6EQiGuvPJKnn/+eSIjD48VlySJiIgI+vXr1+5zCoEVCAQCQducKHneTjJ6dMPsecuXLyclJaXTQ+mEwAoEAoGgTXpCirg5ycnJfPLJJ2zatAm/399qMppHHmnf6kBCYAUCgUDQJj1toolHH32UN998kwEDBmCztZw29niiWiGwAoFAIBA045NPPuGJJ55g9uzZnTrPCSmwbrf2q07YXNraN1b7f/6gcNOBxc67mmBZmdYuaE7XrvXUMYxx6i01eDQMLu0vZa5ucF0KFz0tRRwIBBg1alSnzyPGwQoEAoGgbRSpc1sHefnll5kyZQqjR4/mzjvvxO12H/W44uJibr75ZiZMmMDkyZN55JFH8Pl8rY7729/+xkUXXfSzds844wyWLVvWYb8b0f62TyAQCATdGi36YFeuXMmiRYt49dVXiYuL43e/+x1PPfUUDz74YKtj77rrLrKysvjmm2+oqanhlltu4bnnnuP2229vOmbTpk385z//oX///j9rOykpieeee44VK1bQt29fjMaW6wS3t8hJRLACgUAgaBsNpnJasmQJc+bMIT09Hbvdzm233caSJUsIBoMtjvP5fFgsFm666SZMJhPx8fHMmjWLjRs3Nh1TV1fHvffey+WXX94u2xs3bmTEiBEYjUYKCwvZv39/05aXl9fu1yAiWIFAIBBoQiAQOGraV5ZlcnJyWsyalJ6ejtvtpqSkhJSUlKZ2o9HICy+80OL5K1euZODAgU2PH3/8cc4//3zi4+NZt27dz/r12muvdeTltEIIrEAgEAjaJFxFTmvXruWaa65p1Z6amopOp8NsNje1WSwWgKNOwt+Ioig8+uij5OTksHDhQqBh0oi9e/fy0EMPsWTJknb7FggE+OKLL8jJyeHKK69kz5499OvXj5iYmHafQwisQCAQCNomTH2wkyZNYvfu3UfdN2vWLLxeb9PjRmGNiIg46vEej4cFCxawe/duXnvtNWJjYykvL+fRRx/lpZdeQqdrf719aWkpV199NSUlJXg8Hs4//3xeeukltmzZwiuvvNLu6RJFH6xAIBAI2kSL5eoyMzPJyclpepybm4vD4SAhIaHVsdXV1Vx55ZVUV1fz1ltv0bt3bwC+++47Kisrufjiixk7diwPPfQQu3btYuzYsW3afuKJJ8jKymLNmjWYTA3DrxYuXMjQoUN58skn2/0ahMAKBAKBoNsxe/Zs3nrrLbKzs3G5XDz77LPMnDkTWW4pW4qicOuttxIXF8eiRYuIiopq2nf++eezadMm1q1bx7p16/jjH//IwIEDf7Yf9scff+Tmm29uUT1ss9m444472LRpU7tfg0gRCwQCgaBtNBimM336dAoKCpg/fz41NTVMnTqVBQsWAFBYWMiMGTNYunQpxcXFrF27FpPJxPjx45ueP3jwYBYvXtwh2x6PB4PB0Krd5/O1mpe4LYTACgQCgeBn0GYmp3nz5jFv3rxW7SkpKU3DcFJSUo7Zj3skF110Ubsmmpg8eTL/+c9/ePzxx5vaamtr+ctf/sKECRPa6b0QWIFAIBD8HD1ssv97772Xq666iilTpuD1evn1r39NQUEB0dHRvPTSS+0+jxBYgWr4Qh5CShCz7uhVgAJtCSlB3MEabPporV0RdDd6mMAmJSXx0Ucf8cknn7Bz504MBgP9+vVj9uzZTUVP7eG4Bba2thZJklot4XMi4jtYiiElvtOL6naEuoM5WBJ7IeuNP39wF+J05lHl3E+v1InodepOTi4j823lGwyyn0ayuX1l7gJ1cAUq2VqzgjTLMNUFVlEUyit24PHW0Dv1FNVt1x3cR0RyOtJxDOPoKgLl1cg2C7L55F0o4ETFYrFwySWXdOocPyuwLpeLd955hxUrVrB582b8/oZVXMxmMyNGjOAXv/gFF1xwgeaCW7tyPSGvD12kDZ0jomGLtCHbLEjy0Yula5evo37rXuzTx2KbMhKdzdppP5zZm3Ad2IvREY3B3rAZ7dHoIxwt/HCX5JP3yUvEDDuF2OGTMNiiOm37SMord1NY9BO2iKSGzZZEREQSG7e8yIGD35LW6zRSUyag04Vf5BVFYadrNQHFz5aaLyn15jLIPgWjbP75J4cBn+KlmnISpFRN7DfiUpwE8BMlxWliX1EU8uq3kO36kRBBCjw7cRgSVBFZRVGoqNxFTt5yXK4ihg2+Ap/PhauuuGFzFWMyOchMP6vLbYcCPqp3baBi02p0ZgsZc37dwq+gx42/tgpfbRX+2ir8NVVIOj1Jk2d02rYSCOLeuJvaFevwF1fQ6+nbjn6coqDUewnW1DVsTlfT/5EzJiObVLw572Gr6ZSVlfHss8+yadOmoy4a8Pnnn7frPMcU2FAoxAsvvMB//vMfUlJSmDZtGpdccgkxMTEEg0GqqqrYsWMH77zzDn/729+49tpruf7669Hrtck6O5d9h7+gtPUOSULniEB2RKCLjEDnOCTAkRFIOhl/QSmVry6j6s0vsI4fgv2MsZgH9u1wVOs6sJfKrd+33iHLGGxRGO1RGOwxSDodQU8dZT99Rdn6FUT2G0HcqNOwJqV1yO7RcDrzKK/YSXnFzmZuGFAI4fe72Zv7GfkF39Kn92mkJo9Hp2tdNddV1AWrKfTsaXpc7N1Llb+QIfbTiTf1CZvdo+FTvGxgNR7qiFLiMEraRQ972UoFJYxVTidSav8MMV1BfbCGrTUrqfIXNrVV+Yso9eaGVWAVRaGyag85+5dT6zrY1L5zz3sEAp4Wx0ZYE7pUYP2uaiq2fE/l1h8IeuoabPTqx8Hlb+OrrW4Q09oqQv7WF1V9hKNTAusvraR25XpcX28gWF0LgGV4FjXLvj8koi6Czrqmv0POOhR/4Kjnsk0egZyo3velpy24/oc//IEdO3Zw3nnnYbfbO3yeY6rh3LlzGTx4MG+//TaZmZlHPeaCCy4AYNeuXbzyyivMnTuX999/v8POdAbHWRMIlFYd9W6vcfMfOPbzFX+Auu82U/fdZgwpcdhPH4vttFHoHMfXXxgzdCKWhF74D/1Ym+6Aa6vx11Tir6kEclo+KRTCuWcjzj0bsST1IW7kaUT2G9HplFWvlIk4HL1xuYqpOxQVuOsraN6h4vO72JuzjPyC1aT1nkpK8lh0ctcLrUVnw6GPoyZQ3tTmDbnZ4FxKL/NgBtgmoQ+D3aNhwEhfBrCPbexnF/0ZoYrdI6lSyqiijL4MJIKO/4iPF0VRKPTsZqfrW4JKy3WFZXTEGcNzw9MgrHvJzVtOTW3rH2Mg4MFotB/OuBzKunQF7uI8yjd+g3PvZgiFWuyrK9hLXcHeFm36CEdT9sngiMZgj8JoP35BUwIB3Ot3UbP8Jzxb97XaX78lm/ot2Ud/siQdCgxaZuV0kRHIZnW7lnpaH+yaNWt46aWXGD16dKfOc0yBfeKJJ9o9HdTAgQN5/PHHyc4+xhdFBRxnHr10uinN0ii4zcTXszMXz7acVs/xF1fi+nYT/rIqos6fij7G0W4/LAm9sCT0OoofIQJuF/6aSny11VTvWkdt7o5Wx9UX51O06kNq83aTNHkGhoj22z4Sk8lBvMlBfOygprbcvBXk5i1vdazPV0tu3ldUVu0hK3MGVkvXpixLvfux6WOJ0EUTIoSihFAIESKEO+hkl+tb+tsmYpQtXWr3aEiSRBK9SVBSKSKPgBJAL6mfefHgZhLnYpLUS5MrSoj97s2U+fKJ0iciSTIyMpIkIyEjSzIl3n3Y9DHIUtfNQxMIetmft4Li0s34fK6jHuOw92L0yBuQpa7rC1WCQco3raJy6xp8zpY3l40Y7NEkTjy7qUvHYItC7oJMnBIIUPPZGtwbduHNLTzqMfq4KCJOHXEUEW27e0t1eliK2G63ExkZ2enzHPNb1F5xbU5WVlannAkHkiQhWc3IVjOG5MOioQSDFK7dDoA+KRZTZiqmjF6YMlMx9k3u8v4NSZIxRDgwRDgwRtVRtOoDZIMRU2wS5tjkhi0uGXNsEnpreKKZ+vpKnDX5JCeOxmSKwmyKxGSKxGxu+D+cRU/J5iySzd3r+yFLMqmka2Y/Weq67oD2Ikky6RGjSI8Ypapdvc5Ev4xz6ZdxLqFQAK+vFq/XicfrbPjfU43X66S0dCtJiSO7zK6k0xE/ZjrxY6YT8nvxVJbiKS/CU1GE99D//toq9FY7tt5d+/2U9HoiZ55K5MxTUUIh/IXlePcV4N13EG9OAb68YgJVtdhOHYExtfX0fwLtuPzyy3n22Wd54oknmhYZ6Ajtuk3z+/289957ZGdnH7XDt72Lz3YngtUuYi4/B2NGKjpb+KOm5ihBP5lzf4PBEY3UhVHCz2GxxDBy2C9VsycQHA1Z1mMxR2Mxq1utLBtMWBN7Y03s3aI94HYRqD96VN1VSLKMsVcCxl4J2Kc2pB0VfwBffjGheu/PPFt7pB6WIt6wYQM//vgj48aNIz4+vtWC650ucmrOPffcwxdffMGgQYNajQHSYohLV6CPjUQf2/kUQEcIR8WwQCDoGHqrDb1V/VEQkkGPKbN1d1K3pIcJ7MiRIxk5cmSnz9Mugf3666/5y1/+0mLxW4FAIBD0EHpYH+yvf/3rnz+oHbQrP2m320lP166vSiAQCAQCNfnyyy+55JJLGDlyJGPHjuXSSy/liy++OK5ztEtgb7jhBp588kkKC49eCScQCASCkxilk9sJxqeffspvfvMbevXqxV133cVtt91GYmIit99++3GJbLtSxEOGDOFvf/sbZ5xxBrIst+p33bZt2/F5LxAIBIIThxNQJDvD888/z29/+1vmz5/f1HbVVVfxwgsv8K9//Yuzzmrf5CftEth7772Xvn37Mnv2bKzWzk8nKBAIBIITiB4msHl5eZxzzjmt2s8++2yee+65dp+nXQJ74MABPvroI/r27dvuEwsEAoHgJKGHFTklJyezZ88e0tJajlXftWsX0dHtH17W7hRxXl6eEFiBQCAQnPTMmTOHP/7xj1RXVzNqVMOkLBs2bOCvf/0r//d//9fu87RLYC+66CLuvfde5s6dS58+fVpN6D9r1qzjcF0gEAgEJxI9baKJa6+9lpKSEh566CGCwSCKomAwGLjmmmu45ZZb2n2edgns/fffD8A///nPVvskSeoSgd2xYwcPPPAAe/fuJS0tjYceeqhLBvoKBAKBoJP0MIHV6XT84Q9/4Le//S05OTmYzWbS0tKOa7F1aKfA7tq1q0NOthev18uNN97IjTfeyCWXXMKSJUu46aab+Oqrr4iIOL7VbAQCgUAg6Cwul4tly5axZ88eJEliyJAhnHPOOZjN7V+co1ss1bBmzRpkWebyyy/HYDAwZ84c4uLiWLVqldauCQQCQY9HUjq3nWjs2bOHs88+myeeeILNmzezfv16HnroIWbMmMHBgwd//gSHaFcEu2/fPh599FE2btyI3+9vtb+z42Bzc3NbrTmbnp5OTk7rpeQEAoFAIAgnjzzyCCNHjuTJJ5/EZmuYp9rpdLJgwQIeeeQR/vWvf7XrPO0S2AceeACn08ntt9/eqdXdj4Xb7W61JJDZbMbj8XS5LYFAIBAcJz1smM7WrVt57733msQVIDIykjvuuKPrq4i3bNnCO++8w8CBA4/f03ZgsVhaianH4xGTWggEAkF34ARM83aGlJSUo2ZWy8rKSEho/9q97RLY+Ph4FCV873BGRgavv/56i7bc3FxmzpwZNpsCgUAgaCc9TGBvvvlmHnzwQUpKShg3bhx6vZ5t27bxzDPPMHfuXDZs2NB07OjRo495nnYJ7I033shjjz3Gww8/TFpaGrLctbVRp5xyCj6fj9dee41LL72UJUuWUF5ezqmnntqldgQCgUAg+DnuvPNOoKEv9kj+9re/Nf0tSRI7d+485nnaJbAvvfQSBw4c4LzzzkOSpFYC29kiJ6PRyH/+8x8efPBB/vKXv5CWlsY///lPkSIWCASCbsCJWAncGZYvX94l52mXwN5www1dYqwtBg4cyP/+97+w2xEIBALBcdLDBDY1NbVLztMugb3wwgu7xJhAIBAITkB6mMAeOHCAZ555huzsbHw+X6v9n3/+ebvOc0yBveqqq7j77rsZOnRou060ceNGnn766VbFSgKBQCA4selpKeK7776bkpISzj333OOauelIjimwt912G3feeSdxcXGce+65TJ06lV69erU4Zu/evfz444+8//771NTU8Oijj3bYEYFAIBAIugM7duxg8eLFDBkypFPnOabAjh07lo8++oj33nuPV155hT/96U+YzWaioqIIBoNUV1fj9/tJT0/nyiuvZM6cORiNxk45IxAIBIJuiEYTTbz88sssWrSIuro6pk+fzsMPP3zU4tfi4mIefvhh1q9fj16v55xzzuHuu+9u0qQ333yTF154AafTyfDhw3n00Ufb7GdNS0ujvr6+0/632QdrNBq57LLLuOyyy8jNzWXz5s1UVFQgSRLx8fEMHz681YK0AoFAIDjJ0CBFvHLlShYtWsSrr75KXFwcv/vd73jqqad48MEHWx171113kZWVxTfffENNTQ233HILzz33HLfffjsrVqzg+eef58UXX6Rv3748/vjj3H///bz44ovHtH3//ffzyCOPcM0119CrV69WI2faGvvanHYVOUHD3MDp6entPVwgEAgEJwla9MEuWbKEOXPmNOnObbfdxlVXXcX999+PTqdrOs7n82GxWLjpppswmUzEx8cza9YsvvzySwAWL17MjTfeSFZWFgB33HEHBQUFbdrOzc1l37593HPPPa32/dzY1+a0W2BPNhRFQZJ61vyaAoGg+3FCXIvCJLCBQAC3292qXZZlcnJyOPPMM5va0tPTcbvdlJSUkJKS0tRuNBp54YUXWjx/5cqVTVP77tixg9NOO405c+ZQUFDAuHHjeOCBB9r069lnn2XOnDlceeWVrebJPx56rMAGyqspfeZNjL0SMPXrhSmjF8a0JCRD+N8ST3kRxT8swxybfGhLwhSdgNTsriwsdj3VuOqKMZuiMJki0evN3f+HLTjpCQb9eH1OPB4nOp2BSEefsNpTFAV/bTWeiiK8FUV4youwpmYQO2xSWO0CKKEQgZJKvPsK8O47iHdfAfZfjMd+2qiw2+6OrF27lmuuuaZVe2pqKjqdrkUFb6PQtdU3qigKjz76KDk5OSxcuBBoWAXnrbfe4rnnniMxMZE//vGP3HXXXbz88svHPI/L5eK6665rVdh7vPRIgVUUBZ3Niqlfb2q//BHX6k0NO3Q6jH0SMWX2wpSZiimzF4bUeKQunhrSHJeM3hxB2U9fNbVJsg5TdAKm2CTMcQ3Ca01OQ2+xtXGm48NotLN/5/+oqT0AgE42YjJFYjJFYjZHYj70d1RkOlZLbJfZBXAHawiEvIQIoaCgKCEUQoSU4KH/Q8QYUzDKHb9b7AgBxY+EhE5S/6fgVeoxSeq+XkUJUebLR0FBRkZCRpLkhr+b/R+hi0aWuu57Hwh6qajYjcdbjcdbjdfrxON14vU68fsbIhidbGTs6Ju7zCaAEgziLt6Pp7xBSD0VxXgqigj5Di8uYrBHkzL9ki6120igsuaQmDYIqi/3IKG6w7b1SbFYR2ShhEJdfp3pSsKVIp40aRK7d+8+6r5Zs2bh9XqbHjcKa0RExFGP93g8LFiwgN27d/Paa68RG9twDTMajVxxxRVNqebf/va3nHHGGbhcrhar5TRn+vTpfPXVV/zyl7/s6EsD2imwu3btCttKOl2FEggSrKk7tLkIOQ//HXS6CDpb7lP8gdYnCQbx5Rbiyy3EvSkS++ljsdvHoo86viX6FEUh6HXjr63GX1OFr7YK/6Gt4e9qAnW1LZ8TCuKpKMJTUYTPWYHREYNs7Pj4q+YEAh7q6kqorSvGaDz8hQqGfLjry3DXlwFgtcTRN206FnN0l9htjifoYn31UkK0ft/1konB9imqimtICXKAfVRRyggmq2a3OUXk4VbqyGAwZpWEVpJkrDoHW2tWUBMoO+oxGdYxZNnGd6ldvc6ExRJDcekmKiqPfkE1mSMpr9iJx1OJLSIZo9He6QyLpNMh6fTUFebi3LsZQqFWx/hrq9i16CGMjmgM9obNaG/8OwqjIxq91XHcAqgEAtRv20ftinV4d+cd9ZhAcQX5Nz4BkoTOEYHsiEAXGYEu0obOYUPX+NhhQ46MOPTYhmxSecSGBn2wmZmZLdYEz83NxeFwHHU1m+rqaq677jqsVitvvfUWUVFRTfvS09NbrGMeOsp34EhSUlJ4+umn+eKLL0hLS0OvbymVR5uj+Gi0S2AvuOACBg0axEUXXcSMGTOIiYlp18nVpOCOvxIorWrfwZKE7IhAtpgIlFQebpdlrGMGYp8+Fsvwfh26oyz69mMqt3xPyO9t8zhJp0cJNhMbWSay3wjiRk7Bmtz3uO0ejYLCNeQXfIvH0/b7YjbHkJ42ncSE4chSeNLUFp0di85GXbC6RXucsQ9D7NMw645+VxoOfIqXjXxLLVWMYapmafLe9OM7PqOEfEYpU4iS4lSxa9PHMCH6QnLqNpDjXo/S7OopoyPSEB8Wuw57L0YMnYez5gC5ecuprMpusd/tLmNf7uEZcgx6K9HRmQwddGmn7FqT0uhz7lX4XbOo2PI9lVt/IOipa9ov6fSEfJ6mKPeoyDLmmESyrrir3XYlvR77aaOwnzYKX0EptSvW4Vq9kZDrcIpTF2UDWW64+Xc2BAP+Az9/7tSnbsXYO7HdvnQaDQR29uzZ/PGPf+Tss88mOTmZZ599lpkzZ7aq6FUUhVtvvZW4uDj+/ve/YzAYWuy/6KKLeOmll5g6dSrJycn89a9/5dRTTz1m9AqwadMmRo4cCdCqIOp4rhftEtgvvviCjz76iNdff50nn3ySqVOncuGFFzJt2rRWyq4V+oSGqKvhzq/xTtDW9Ljxzk/niEC2W5FkmdqV6yh/4UP0CdHYTx+Lbepo9NGdW1BekmRCfi96q/3w3bDj0J2wPQaDPQqDIxp3UR55H/0XnTmCmGGnEDt8EgZbVBe8E81QFDyeKnQ6E7aIpKZtb+5nBINezKZo+qZNIylhFLIc3v5fo2ymPuhqeqyT9AywTaKXebDqAmeUTKQqfanCRrQUHjFpDzpJT4YymGrKcdD1WYO2kCUd/WzjiDelsbVmedONT4hg2G1HOnozctgvqXbmkZu3nKrqfQD07TMNRVFw1RXhcpXg9Tnx+zs/FrERgy2KpEnnkTD+F1Tv2kD5pm/wVhQTPWgcyaedj99Vja+meaap6nAGylXdqSU7jb0SiJ13HtGXnon7px3ULv8Jz879mDJ7kXjnlSiKglLvbRDZxkxctashA1dTdygjd2ifsw6dQ70bUq2YPn06BQUFzJ8/n5qaGqZOncqCBQsAKCwsZMaMGSxdupTi4mLWrl2LyWRi/PjDmZfBgwezePFirrzySgKBANdffz2VlZWMHz+eJ554ok3br732Wpe8Bkk5zm/Nxo0b+fjjj1m+fDk+n4+ZM2dy8cUXq5pCzvhf18wY5fzkW4xpSZiHZBx3tGpbc/SVfoI+D5KsQ9Ybjrq/kdKfvkJvsRE1cDSy/vjTPfEbf/7C4/e7CQS9mE1RTSLmqith87ZX6NtnGsmJo5Hljt8gGXa1Xep+JPXBWlZXvEGkIYFh9ulY9ZEdtt1IsOzoac52PVcJaNL32pyQ0pCu6kx/py6+czcJQSXAHtca8uu3MtR+OsnmrOPOZPgHdrwYpKo6l9y8r4iJzqJvn2mHz+l3Ewh4sFh+PmNWNur4U+yKolBXsJfqnetIPWNum0WGSihE0FeP3nxsYXNNbF0N2xa+wjJcqzYSdf5pyNau6Q7KufS+LjnPkQx45JlOPX/3/bd3kSfqUVhYyOLFi8nOzkav15OVlcXcuXOPayGA4xZYgDVr1vDFF1/w/vvvYzKZcLvdDBs2jEcffVSVsbJdJbCd4VgCqxbtEdij4fXWYDBYOyWsjRy/wLoo9mTT1zoCqYsKaDojsCcLnRXYRip8BfhDXpLMmcf93M4ILDSIncdb3eH+/44IbFdzvAIbDoTAdg07d+7kyiuvxOFwMHz4cEKhEFu3bqW2tpbFixe3O6Bs91V2165dLFmyhKVLl1JZWcnUqVP585//zLRp06itreW+++7jN7/5DR9//HGHX5Qg/JhMDs1sW3Q20iN65nCEE4FYY+dEsjNIkhSW4jpBF9HDJvt/8sknOe2003jqqaea+nT9fj/33HMPf/7zn/nvf//brvO0S2BnzpzJvn376N+/P9deey2zZ89uUegUHR3N+eefzx/+8IcOvBSBQCAQdGd62mo6mzZt4p133mlRMGUwGJg/fz6XXtr+ort2CeykSZNYuHAhgwYNOuYxEyZM4NNPP223YYFAIBAIuiMOh4O6urpW7S6X67gKe9vVEXbvvfe2Ka4AUVFRxMWpM8xAIBAIBCqidHI7wZg2bRoPP/ww+fn5TW379+/n0UcfZerUqe0+T/cYYyMQCASC7ssJKJKd4Xe/+x3XXHMNZ599dtOkFVVVVYwcOZLf//737T6PEFiBQCAQtElP64ONiorivffeY/Xq1WRnZ2M2m8nMzOSUU045rvMIgRUIBAJB2/QwgQV47733sFqtXHfddQD8+te/pri4mAsvvLDd5+i+s0sLBAKBQKABixYt4rHHHiMQODydbWZmJg8//DCLFy9u93mEwAoEAoGgTSSlc9uJxhtvvMHChQs5//zzm9puv/12nnjiCV555ZV2n0ekiAUCgUDQNiegSHaGiooKsrKyWrUPGjSI4uLidp9HRLACgUAgaJseNkynf//+fPTRR63aly5dSkZGRrvPIyJYgUAgEAiaccstt3DTTTfx008/MXz4cAC2bdvGTz/9xN///vd2n+eEFFirte21VtXAb9N2sn9fVNur9aiBIS5KaxcI7yJ7Jwjd4HPQ+vvoP/bSnqrRHa5L4eJE7EftDFOnTmXx4sW8/vrrrFq1Cr1eT0ZGBu+88w6DBw9u93lOSIEVCAQCgYr0MIEFGDVqFKNGdW5xEtEHKxAIBIK26WF9sM0ZPXo0Bw4c6NBzRQQrEAgEgjbpaSni5nRgyfQmRAQrEAgEAsExkCSpw88VAisQCASCtunBKeLmEWwoFKKwsLDdzxUCKxAIBII26WkzOf3iF7/ggw8+AGDjxo307t0bgMrKSs4444x2n0cIrEAgEAjapodFsAUFBdx///08+eSTrfpgj6dPVgisQCAQCNqmhwkswD/+8Q8++eQTbrjhBlwuV1P78fTJCoEVCAQCgeAIhg0bxrvvvktFRQWXXHIJeXl5yPLxSaYQWIFAIBC0idTJ7USjMUpNTEzkjTfeoF+/flxyySWsX7/+uM4jBFYgEAgEbdPDUsTN+1nNZjN///vfueyyy7j99tuP6zxioglBC0KhIEoogE5vUtWuL+AGwKhXd47noBIgEPJi0kWoahfAHazBqnOoalNRFNy+SiJMsSrbDREMeNEbLKraFXQNJ2IlcGf49a9/jdXa8lp0++23k5GRwbvvvtvu8/RYga38dD3+smokox7JoEc2NPwvGXTIxkP/m4xEDO+LpO/aKeW9FaUE3XWEPPUEvfUN/3vqCXkP/e/xYIxPJG7yL5B04f2IfJ5aaqvyqKnKp7ZyPzq9mYFjrwyrzeYEQj7yKn6ioi6XcWlXqGa3kWzXj6SY+2sisDtqv2FU5DnoJPV+hpIkUejcRr2vmn4Jp2E1RqtkV6Z4/xpKCzZgj07DHpOGIzoNiy0OSQpvIq12zzacm9cimy3oTOaG/80WZNOh/80WdCYLxrgEZH3XLlpQv7cIf0UNii+A4g8Q8geb/R1A8QdBUYi7eDI6q7o3tYJj8+tf//qo7eeff36LRdh/jh4rsLZRGeQseImgs+6o+839kkm5eUaXiyuAr6KUwvdfRQkGjro/ZuLpxE0+E0nXtbaVUJC6mqImMa2pysfrrmzab49OY+DYK9DpjV1q92iElCAHq7ewt2w1vkAdo3vP7dSMKR2hwneQvPotpFoGqmq3EXegmmzXWgbaJ6lqt2/sBFbv/RfFe3fRO2Y0mXGTVckc9Mo6nWDQx4E9yynJXwuA3mDBHt0He3Qajpg0bFG90RvMXWrX3n8oKApFH79JyOs56jFRY08l8awLutQugCEhkspP11H91aZjHpN6+wXdX1x7WATbVfQ4gfUVVeLalItrcw6Kv7XAyVYTCVeeTsw5Y5B0XX9nrSgK+ggb5pTe1B/IbWnbbCFl9uXYsoZ0uV0An7eW/Ts/pbosu9U+W1Qvhky8NuypYUVRKKndTXbpKty+BnGPtvYhztb+RYy7gkDIx7aaFQBIGpUiSJJMXv1mEkxpxBhTVbNr0JnJiJvE7pLl5Feu42D1FvrGTqBv7Hj0cnhvrvoMOItQ0M/Bfd8AEPDXU1W6m6rS3ZgsUWSNnEtUfL8ut2sfMAxTYgqF77+Kp6jlxO2y2YK1dwZKMIik79rvgt5hJfXWWUSdMYKify7Dm1/W8gBZourzDfhKqrCNzMDSLyUs151OIwS2Q5z0AhuocVO3dT91m3Jwbc7FX1J9zGMdU4aQdO2ZGGLsXe6H31mFc+s6arauw1dZ1mq/OTWN1AvnYYgMX8rOaI4kJX0ytZV5BIO+pvYIRzJDJl4X9v6xyro89pSsxOkpatHeP/F01aPXXa7v8IQaxrbJGglso92tNSuZHDM37OLWnD7Ro8mrXIfH7yQY8rGvbDUHKteTGX8qvaJHIkvhWWlXkiT6Dp5BKBSgKPf7Fvvie43CEZMWFrsAxqhY+sy7lbIVH1P10+qm9pCnnsIPXkU2W3AMGknk8HGYU9O69DsZMbgPmc9cT8VHP1L65ioU36Gb+5CCe0c+7h35lL2xCjnCRMTQvthGZhAxMh1jcozqv42j0dP6YLuKk05gQ/4A7p0HmgTVs6+oxd2XPsaObWQ6ESMyMCREsv/3r2BMiib5xnOxjcrsWl98Xmp3bcG5dR3u/XtpdMQQFYNj2Fjq9u7EU3SA6AlTSTh9Rlj7W13OQnK3f4KzfG+LdostgaGnXI/BGN4UYY2nhL1lq1uJa6J9IFGWlLDaPpJSby4HPbuaHoe7D/BYSIdEzBOqZZfrO4Y6TlfNtizryYqfwtbCT5rafEE3eZU/oZMNpEYND5ttSZLIGDqbUDDQlCoGKMheSVnBJvoOPpe4lBFhERZZryfxrAux9Mmg+JO3CHk9JJ5zMTXbN1J/IIfqjT9QvfEHDDHxRA4bS+SwMRgiY7rEtqTXEXfRJByTB1P0wme41mWTcMU0LFkpuDblUrc5B09uCbU/7qb2x91AQ4o5Ynh6g+COSEfvULcIsAkhsB3ipBFY53c7qP5yE3Xb8w7fHQKy2UjEsDQiRmZgG5GOsVdc0w+35oedxM+dQtycycimriluUJQQ7rx9OLf8RO2uLSj+hkhRNpqwDxpJ5PCxWHqnI0ky7ry9pM65BvuAYV1i+2j4PDXk7fqckvx1gILBZCNt4NmUHdyMt76KYZNuwGCyhc1+Iw5zIkNTZvDT/sV4ArUASEhkJZwWdtvN8YXq2V6zqkWbVhFs89T0Qc8uEkzpJJj6qmY/OXIIuRVrcXlLm9qy4qeSFDko7LYlSabfiIsIhQKUFWxg6Ck3kLfrM2qr8tm9/g0Kc74lfcissEW0joEjMCemcvD9V4nIHET0mMn4qiqo2boO59Z1+CvLKF/1KeWrPsWa1o/I4eOwDxyObOx8F4oxMYo+f/g/atfsxr27ANuozKab+0B1HXVbcnFtzqVuUw7+UifVX21q6sM1ZyRhG51JwpXqZ3204OWXX2bRokXU1dUxffp0Hn744VbVvQDFxcU8/PDDrF+/Hr1ezznnnMPdd9+N0WgkEAjwxBNP8OmnnxIIBJgwYQIPPvggMTFdc+PUFieNwPoKK3Ft3AeyhGVgL2wjMxr6NLJSjlmoZB8/AMcpXXsxqVr3HaVfNEwSjSQRkTEAx7Cx2AcMQza0TAGmXnQ1+oiuT0c3UnpgPXu3fEAo6EOW9aT2m0pqv6no9WbctaX0HzUXo1mdYSJuXxU/5b2BJ1CLw5xEjaeYXtEjVR0uoigKO2u/bajabXZHrlUEKzcbgm+ULex2fU+UIRGjrM5QFkmS6Z8wjQ0H3m76TLYcXAKgmsj2H3kJihIkMi6T4afeQnnhZvbv+JTaqny2fPscCb3GkDUqPAVwxug40q6+FSUQOPQ4lrjTziZ2ylnUH8htuEneuQl33l7ceXtxbl1Hnytu6hLbkiThOGUg9vH9W7TroyKIPG0okacNRVGUhuvaphzqNudQtzUPT04xkk5Gump6l/jRbn81iGBXrlzJokWLePXVV4mLi+N3v/sdTz31FA8++GCrY++66y6ysrL45ptvqKmp4ZZbbuG5557j9ttv580332T79u18+umn6PV67rrrLhYuXMjjjz8e9tdw0ghs5JQhmPrEEzE0DV1E+6oQw1FMYB84HOemNTiGjsExZDQGR9Qxjw2nuAKYI+IIBf3E9xpN30HnYLIc9iV98HlIcnj62Y6GP1hPIOglNqIvo3rPYe3+18mMO1U1+40Mc0zHFahkvXMZNl001f4STYuc4o1pVPgKSLeOIs0yHIWQqj7E2TKItvZhSPK5lNZms6d0BfX+GtXsS7KOAaMubRLQ+NSRxCYNoTDnOw5kr8BkiQxrpCbrDXDE0BxJkrD2ycDaJ4PEsy/EtWcbzi0/YR80osvtt3UNkiQJU2osptRYYmeMQwmGqM8ubJGhUw0NBHbJkiXMmTOH9PR0AG677Tauuuoq7r//fnTNRlj4fD4sFgs33XQTJpOJ+Ph4Zs2axZdffgnA/v37CYVCBINB9Ho9sixjNndtpfqxOGkE1pgUjTFJnTF9bWGwR5J+/V1auwGAIyaNsWcswBzROkpUU1wBIi0pjO97JVZjNDrZwMheF2EyhD813RxJkpDQ4TDEMy12HkElQE2gLGwFPT9HhnUMscZUgkoQvdxwkZdQ1xdJkhiWMhOLMZJ00wRiInoTqXKf+JHfRVlnoFfWNBL7jEXWde241ONFNhhxDBmNY8hoTf2ABjG2Duylje0wCWwgEMDtdrdql2WZnJwczjzzzKa29PR03G43JSUlpKQc/o4ajUZeeOGFFs9fuXIlAwc2DL+bO3cun3/+ORMnTkSWZbKyslSJXuEkEljB0TmauGqF3ZzQ9LfFGKmhJw3CopcMxBjVFZPmxJka1pjUa5SibqT5Z6G2uLaFGrUBAm1Zu3Yt11xzTav21NRUdDpdi0jTYmnoOqmvrz/m+RRF4dFHHyUnJ4eFCxcCDRHu9OnT+fWvf43BYOD3v/89DzzwAH/5y1+6+NW0RgisQCAQCNomTBHspEmT2L1791H3zZo1C6/X2/S4UVgjIo4+65rH42HBggXs3r2b1157jdjYhuDi97//Pffddx8JCQ03+Pfccw/nnHMODz/8MDZbeG/ihMAKBAKBoG006IPNzMwkJyen6XFubi4Oh6NJKJtTXV3Nddddh9Vq5a233iIqKqppX2FhIT7f4XH/Op0OSZKOe+m5jtANpwwRCAQCQXdCUjq3dYTZs2fz1ltvkZ2djcvl4tlnn2XmzJmthFFRFG699Vbi4uJYtGhRC3EFmDZtGs8++yyVlZW4XC6efvpppk2bdtThPl2NiGAFAoFA0DYaRLDTp0+noKCA+fPnU1NTw9SpU1mwYAHQEJXOmDGDpUuXUlxczNq1azGZTIwfP77p+YMHD2bx4sU8+OCDPPHEE8ycORNFUZgyZcpRh/qEAyGwAoFAIOiWzJs3j3nz5rVqT0lJYePGjU1/H6sfF8DhcPDYY4+Fzce2EAIrEAgEgjaRFDFXYkfoNn2wzz//PNOmTWPs2LFcddVV7NmzR2uXBAKBQAANKeLObD2UbiGw77//PkuWLOG1115jzZo1nHLKKcyfP59QSN1ZbQQCgUDQGi2KnE4GuoXAVlVVceONN9K7d2/0ej3z5s2jsLCQ4uJirV0TCAQCgYhgO4RqfbBtTYn1q1/9qkXbihUriIqKIikpSS33BAKBQCDoUlQT2LamxFqxYkWL4/74xz/y8MMPH3MgcEZ0Zdj8bC9bktRZheZY1FR3h/o07ed+NsaJ6fR8UdrO1wtQ01vb72N9UlBT+wDDu8F1KVz05DRvZ1DtV9HWlFiNfPjhhzz00EPcf//9zJo1SyXPBAKBQNAmQmA7RHcIgwB47rnnePXVV3n++ec55ZRTtHZHIBAIBIcQEWzH6BYC+9577/HKK6/w5ptvkpmZqbU7AoFAIBB0mm4hsC+88AJ1dXXMmTOnRfu7774rBFcgEAi0RkSwHaJbCOznn3+utQsCgUAgOAYiRdwxuoXACgQCgaAbI6ZK7BBCYAUCgUDQJiKC7RjdYiYngUAgEAhONoTAClqgKNrM/+ypq9TEts/not5TpbpdgJraAk3s1tdVaGJXq++WoAsQUyV2CCGw3ZBgTQ3+cnVnhVEUBWfOVkrXfamqXQB3bSl7t7yPJKn/dcwrWE19vfqCoygKu7I/1ER0Sg+soyR/nep2a/N2UbruK0J+r6p2Q14fvsIiFNGP2GGkUOe2norog22Goij4quqpza+irsBJ0qS+mGKsqtj1HyzEvW0n9dt2QChE4m03h91uI3WFORT98Anu0nwGXH6PanYB6mqK2Pb9f4hJHqyqXQCvt4aDhWuIsMarbjsQqMflKqKkdAtJiSNVtW2P6s2OtS+jhAIk9Z2ont20gRT/+CnlW78lcfzZxAwajyTrwm5XNhmpW7ueuo1bsA4ZhGXYYMz9MpEM4b/8hQIhDi7PxugwYesTjTXJjqQ7AeMacW/SIXqkwAa9AeoOOnHlV1N3oApXfjWu/CpcB6oJuHxIOpmRv58eVnFV/H48e/bi3raD+m07CVY7AdA57CTd+RtkkzFsthvxVBRRtGYptft3ABA7bDKmyLiw223EVV3Ath/+S8DvxhGdpprdRvIKVhMKBfB6narb9nirAcjNW0FCwjBkKfxC04j90Hu9d8v7hEIBUjJOVcWuJMkkT5pJ7kf/5uDX71C26WuSJ56HI2M4kiSF1XbU7PPwl5RRu/p7ald/j2Q0Yh7YH+uwwVgGD0TnsIfFrqyXiR6UwJo7P6a+uBbZIGNNjcTWJxpbnyhsvRv+j+gThdFuDosPXYEocuoYPVJg60tdbHjoC2pzW6dhdRY9Yx85l4TxfcJiWwkGqfrwE1zf/4ji87fYJxn0xF//S/TRUWGx3YivtoqStZ9RtWsdjbemst5Iwtizwmq3OTWVeWxfs4hgwAMcvuirhdfrpLBwLQAeTQS2wWa9p4KSks0kJ41WzbbBFIElIo76unJytn1EKOinV9bpqti29x6ArVd/XAV78FWXkffZK1gS+pA8aSa21H5hsyvJMnFXX0bxM8/hLyxG8fmo37KN+i3bQJIw9csg7urL0EdGdrltW59oTn3+Ytbc+TG1ORW49lfh2n+4319n0TPynjNIOT18r1+gDSdgrqLzWJMd9L1oGBxx02yMNDPprxeETVwBJJ2OqFnnYR7Yv9W+2Cv+D1Pf8NlWFIWyTavYvfhxqnb9RPO8T9yoaRis4bmLPxJnRQ7bf/hPk7jqDRYsNvUiZ4D9B1YRUgIAmkSwzW3m5q8gFFJ3NRh7zOEbmv07PyV/95eq9VEmnTKjxeP60nxyPnye/Z++RNAXvv5Z2WwmYf61yPaWKzDp7HZiL78kLOLaiDkugsl/v5CYESmt9iVNTidudK+w2e4SFKVzWw+lRwls0Btg/5JtrLxiMVufXtWiX8GSZGfy8xcTNSgxrD6EPB6qPviY+i3bW7RHnnsmEWNGhtW2JEnEDZ9C6tSWU1LqLDbiR04Lq+1Gqkr3NESuQV9Tmz26j6oFTh5PNYVFh4t8tIxgG/yporhkg6r2j8wY5O/+krydn6oistaE3kT2G9miLar/aHqfcTk6oymstvUx0SRcfzXoD6fkgzU1lL/yBr6ikrDaNthNTPzzLJKmZLRoP/hVNl/NfYXt//iW+jJXWH3oKJLSua2n0iMENuD2sffNDSz/v9fY+vQq3EU1OPrFMmJBQ1rMkRnLqc9fjK13VFj9qN+5m8LHnsb17Q9IBgP20yYDYB01gshzfhFW2400poeBpgKTxLFnojOGv/8nGPDhLN9HVHzL6N0e0zfstpuTd2AVinI4YvR6napXmHo9LUU9N/9rQqGAavaP7POOcKQQDPpw1xarYj9pwrkgyw0bUJ29idq8narYNqX3JfbyuQBYhg9FHxeLb38+RU89g/OLFSjB8GUTdCY9Yx8+mz6zGor6Mi8bRfLpmQQ9AXLe3syKS19j88KV1BVUh82HDiGG6XSIk7oP1uf0kPveZnLf24q/tiH1FD0smayrxpAwoQ/+Gi8FX+xm3GPnYbCF78455K6n8oOPqVvzEwCmfhnEXn4JOpsN7/58Yq/8P6RjLC7flXidFeR8+Bx+VzW23v2JHjCWkrWfEzNEneUBdXojfQefy97N7wNgNDvweWpwRIcvLX4k9Z4qiks3YzZFNRUaBYM+AkEPBr1FNT+aR7B6vZlQyE9R8XpSUyaoYt/qSESnN6HTm/B5aggEPKQPnoGsU2fxdlNUPLFDTiHo82KJTabo+4/J//J1AKKyRobdvm3caPwlpRgS4rFefRnVn3xG7dffUv3xp7g3bSX2ikswprZO53YFkk5m+J3TMMdGYEmyM/imSbjyq9j7xgYKPt9D/sc7yF+6k5TT+5F15Wgcmep2nwi6jpNSYOvLXOS8tYm8j7cTrG+ICuIn9CHryjHENusD0VsNTFg4C50pfG+De9tOKt96j2C1E8loJPr8GdhOndgkqAk3XotsDP9F7Uhx7XvetaCAbDAj69T7GtTVFFOc9yOSrGfY5JvI3vQOtujeqtmXZT2nTryHnP1fceDgd/TpNYWa2gK8HicGm3oCqxBiYNaF7Mr+AIPeysRxt6uaqpYkmai4LNKHzGDX+jdwVR+gMPc7evWbppoPCWPPwltZjK1XFoDqIht13lmE3PXIRiMxF83GOnI4FYvfxneggKKFzxJ51nQiz5qOpO/634ckSQy4djz+uoauElufaEbecwb9rxlPzv82kvfJTgqXZ1O4PJvESX3pd+UYYoYmdbkf7fa3B0ehneGkEti6gmr2vrmRgs92EfKHQILk0zPJumIMkf1bj3WUDeEbGhGsc1P13hLqfmroWzMPyCL2sjnoY2NaHKc7ouAiHBxNXGV9wzCgyIyhYbffnP07lgIKqRmnYomIZdC4eej16g1PMBkbCrlcdQ2p0JjoLDLSzyQU9Lf1tC5nxJCr0OvNZOcso95TSTDkx2KOVtWHfiPnYDBayRgyiy3fPc+BPStI7D0Wgyn830kAg9XeVFgXP6qhu0ZNkZVkGZ0toumxOaMvKffcTvWyL6lZ/jXOT7/EvXkbsVfOxdQ7PEVIhoiWw/GsiXaG3nYaWfPGkvPuFvZ/sJWS7/dT8v1+Ykel0u+K0cSP6x32YU2t6MGFSp3hpBHYoC/I6hvfxV/jRdLJ9D5vEP0uH4Wtj7oXLQD3pq1UvP0+oVoXktlM9IUzsZ0yXv0fBW2Lq9pUle6hqnQ3emNE07AQgzH8E3kciaIouOqKALDZkpAlHbJevXGoAAZDw+u2RSTirMmnrq6ESId6qXI4/N47YvsSlzKc8sIt5O/+iszhF6jqRyNaiOyRSAYD0eefh3XkMCoWv4W/sIjiP/8dxy+mEXXOmapMTgFgirYy6PqJ9LtsFPs/3EbO25up2HiQio0HmfjMbOLHqJf1ARHBdpSTRmB1Rh0Zl4zEV11PxqUjsSaqM+TkSBR/gKolnxCqdWEePJDYSy8O+7jWY+Gr6T7iqighcrd/AkDagLPQG9RLxx6Jz+/C73djNNoxGiJ+/glhxBaRhLMmH1ddseoC25y+g86long7RXlrSE6fhNWeoIkf3UFkAUxpvUm+67c4v1iO84sV1Hy5EuvwoZjS1BU2g81E1pVjyLhkBPlLd1L6Yx5xozQY0iMEtkOcNAIL0P/qsVq7gGTQE3v5XAKVVUSMH6NJ1NqIbDSjM0dgik7QVFyhYWIJd20JFlsCSWnjNfMDwOVqSA/bIrTr02ok4pAPjSlrrTBHxJKSPpmD+76h9MA6+g4+TzNfGkW2ZO3nGCIcmvkhGfREzTgb64ihePblqi6uzdGZ9KRfNIz0i4Zp5oPg+DmpBLa7YM7K1NoFAPTmCDLOvxFZb9BUXAEiY9MZNe12ggGvKvPPtoXDnsqwwZej04V3zGV7iInux6D+F+NwaHfxbqR3/zOwR6cRm6xuv/zRiB91OlFZozDYorR2BWOvVIy9UrV2Q1NEirhjCIE9ydGbtU2BNifCoX3ECA39n/FxQ7R2AwCrJRarJVZrN4CGGbXiUrpPhNQdxFVwiJBQ2I4gBFYgEAgEbSP0tUP0iJmcBAKBQNBxtJoq8eWXX2bKlCmMHj2aO++8E7fbfdTjdu3axRVXXMHo0aM57bTTeO6555pmZ1MUhaeffpqJEycybtw4/vSnPxEM42xdzRECKxAIBIJux8qVK1m0aBGvvvoqq1atwul08tRTT7U6LhQKcdNNN3HWWWexbt06/ve///Hmm2+yYsUKABYvXszXX3/NRx99xLJly9iwYQMvvviiKq9BCKxAIBAI2kaD1XSWLFnCnDlzSE9Px263c9ttt7FkyZJW0acsyyxdupR58+YhSRJVVVWEQiEiD62OtGTJEq6++moSEhKIj49n/vz5fPDBB51+S9qD6IMVCAQCQZuEq4o4EAgcNe0ryzI5OTmceeaZTW3p6em43W5KSkpISWk5T7TV2jBpyhlnnEFBQQGzZs1i9OiGNZZzcnLo169fi/Pk5uaiKErYh1EKgRUIBAJB24RJYNeuXcs111zTqj01NRWdTofZfHgaVYulYXKa+vr6Y55v2bJllJSUMH/+fJ577jluvfVW6uvrW50nFArh8/kwmcK8PGJYzy4QCAQCwTGYNGkSu3fvPuq+WbNm4fV6mx43CmtExLGHHppMJvr06cN1113Hyy+/zK233orZbG51Hr1eH3ZxBdEHKxAIBIKfQVKUTm0dITMzk5ycnKbHubm5OBwOEhJaTuNZWVnJGWecQXV1dVOb3+/H4XA0nSc3N7fFeTIyWi56Hy5OyAj2vIStWrtAYaZ2U7gBlBPz8weFGV+U9l8fg0t7H7TGr87iN21Sn6TOsIdjEZdZqal96B7XpbARUt/k7Nmz+eMf/8jZZ59NcnIyzz77LDNnzkQ+Yu3smJgYYmNjeeaZZ7jvvvs4cOAA//3vf7nllluazrNo0SImTpyIXq/n3//+N+eff74qr0FcnQQCgUDQJh2NQjvD9OnTKSgoYP78+dTU1DB16lQWLFgAQGFhITNmzGDp0qWkpKTwt7/9jYceeojJkycTGRnJL3/5Sy688EIALr/8csrLy5kzZw5+v59Zs2Ydtd83HEiKosE710n+tXuq1i7w35zJmtov36d9BGsp1nZOYQCDS2sPtEdEsN0jgr0u4zutXeDGAavCct4zTn+8U89fvvL3XeTJiYXogxUIBAKBIAyIFLFAIBAI2ubES3R2C4TACgQCgaBNxHJ1HUOkiAXdgqDXo4ldX20VoYBfE9veqjJN7Gr1XgtOYDSYKvFkQAisoAl/aRkBZ43qdgO1NVSuWam6XYCKzd/irSzRxHbh1++jRY1h/YEcandtUd0ugCd7nyZ2BZ1DCnVu66kIge1muHNLqd2ar7rd+t3ZlL7wMjq7uiWpSijIwQ9fQ1Fp+ajmhPxeqratwVNRpLrtoMeNK383rvw9qtuWzRaKPvkfvqoK1W3X/bSB6mVfqH5j4a+qo2r1Tk1uaAQ9FyGwRxDwhdi6soK6anXTht4SJ7lPf0z2fW9izUxU1Xbttz9Q+vx/MaWnIcnqfiXKv/mc+vx96MwWVe0CVO1aT9Bbj6eiWHXbjTYrNn2jum2dyULI66Hw/VcIBQKq2rYMGYTz0y8pf2kxIZ9PNbuG6AiqVu9i129fpmbTftXsQsN6pJuXl1Nbqd7r7XJEirhDCIEFQkGFXT9U8dof9rDg1DXsXe8kIsqgiu2A082BF75i+/X/pnL5NpLmTkJnDf8cmQBKMEjlux9S+db7EAphHTJIFbuNuPbtouK75QDIJnUFVlEUKjatBsBTrn4E2xg11+7fibeqVFXb8qGbGU9xAaXLP1LVtnlgFuj1uDdupuRv/yTgdKpmO+Xqqbj3lZB975tk3/8/3PvU6RqQJAmrQ899p6/l79dv5YcPiqmvVffGptMondx6KD22ijgUUsjdVMO6pWVs+LyMmvKGiDVrXCSzf5sedvtBj4/SJesofmcNIXfDRNTGxEjiZ4wKu22AkLuespdex7PrUIpSr8M8qL8qtgH8NdUUfbSYxl+f2hGsK39PU9+rFini5qJevmk1qadfrJrt5u919bpvsfbJwDFopCq2ZZMJc1Ymnp278eUXULzwWeJvuAZTn15ht21OjSH+3JGULd1IzfpcatbnEnP6EFKuOg1TUlRYbWeNi2Lmb9L4YGEuO1ZX8cYfsxk6NYaxMxIYNjUGo0X7SVvaQouZnE4GepzA+jxBlj2fz0+flFJZ6G2xzxFv5Fd/GYROH741ApVgiPIvNlO0+Fv8lS2nIUqZdxqyIfwfib+snNJ/v0Sg5HDkZM7KRFZhdQlo6Hct/PA1gu66pja52XJSatAYvQIEXE6CHjc6s1U1+83T0tU7fyJp0nnoVIriJb0BZB2EGvq9iz95C3NiKsaYeFXsW4cOxrOzYQWVoLOGkr8+T+xVlxIxanjYbSdfdioVX20j5G24oa5cuZ2q1TuJnzGapEsnY4gM33fgzGt7kbOxhs1fVRDwKWz6soJNX1ZgssoMnx7LjFvSSExX7zsoCD89LkVsNOuYeEEi0UktxUTWwa+eHkhkvDGs9pVgCL3DiqlXy6kOLRkJxEwdElbb0FApXPrcf1qIK4BlyOCw226k7OtPqT+Q26JNzQjWW1VK7f4dLdrU7IdVFKVF1Bzy+6jc/qNq9iVJQmc5/H6HfF4Ovv+qasOVLENbdkUofj/lr75J3bqNYbdtiLGReNH4Fm36qAhMydEQDG+5qyRJzHtsAPF9Wt5M6g0yY89LIKGv+nUI7Ub0wXaIHiewiqKwe001+dtbRo/n355O//FRYbcvG/VYMxLwFlW3aE/95TQkOXyRcyOGhHhSH/w9luFDW7Rbh6kjsN6KUvxV5Vh6t1wuSs0+2IrN37ZqU7MfNuByEvK2XDS6YvO3KCH1xjM0j5b1jmhM8YnU7tysim19TDSG1OSmx7Itgl5/up+Isep0jyRePAG94/Dr91e60EdaMcSEv4Le6tBz/d8GYzAdvvTWOQOs/6wMT5228zm3SaiTWw+lRwmsq8rPP2/ezv8e3ovfG2L0OXEAjDgjljN/Ff4+IABvURW773kDf1kN9lF9iRjcC/vwNBxj1FmfEMC9eRv1W7YhWyxEjB+DISUJfUy0KrZNsQmkXvxLdNaGRZMdQ0cj6XSqRbCKEsIYFU/m3N8AoLdFEjtyCp5K9SJYT0UR1pQMHBkNNzlJU2aTOPEcfE71hs3IZguRw8cBEiGPm6Tz5hI5bKxq9i1DB2NISsQ8IIuQq46qDz5WzbbOaiLp0smgk0m6dBKEFHIXfkTlqh0//+QuoPcgG5c+0A+AQZOjsdh1rP2olEcv2EDOJvXHobcHLdaDPRnoMX2wO7+v4pW7d+Ms82GPNXD1EwPoPyGKg7vXM+/xAUhS+KPHI8W13wNzqFi+DWu/RFXsAwTr3FS+/T4A0RfNwjpiGK4f16liu8kHdx2u7B1IOh2JZ12IfeDIpsrWcCNJMnEjp+AuzgPAFBlLytQL8depd2Ezx/ciY87NlG/8hpqcbQQ9buJHT1PNPkDMhKnYB43EX1ONe382tbu3Ejl0jGr2rUMHY+6XgSEhnsLHnqbux3VEjB6BZfBAVezHzxiF92AFqfOmooswc3DRCnIXNlRUx0wNfzZn0sVJ7NvgZNi0WK54OIuX7trFvg01PH3FJmbe2pezr++NrFPnmtAuerBIdoaTPoIN+EK8vzCHZ6/dirPMx5DTovnDkjEMmRKDwSjzm0XDsDrCf59xNHGVTQbizhpORP+UsNtvpOr9jwjW1GIeNICICWORLWbsU9Vdeq9mx0YIBbFlDUFnicA+YCiyXp1hUY34aqoAMNgbIndDhEM124YIO5IkY7RHAeCvUX+pNcfgUUiS1BS11mxV9ybLmNYby8D+6GOiiT7/PAAq3nyXUL060zjKBj29558JQNLFE0j91XTVI9n/u78fmWMcxKaauf3VEcy8NQ1FgY/+up+//nILlUViSssTnZNaYEty3Sy8bBNfLipAb5C45N5Mbv7XUBxxhwuZYlLCX716LHEFkPTqlefXb99J3dr1SGYTsZfNaYqa1YqeG3Eeupg7VExJHom/tqXAakGjbV9ttWY+2AcORzIYqcvdg79GPT+af+dskydiysokWO2kaslS9Xxo9tvTQmSNZh32mIZrkU4vMeOWNO54fQQxKSayf3Ly6AUb2PhFedj9aBeiyKlDnJQCqygK379XzOMXbyB/u4ukDAt3vzOK6fNSkVUoJGpOW+KqJqH6eir+9x4A0RfMRB8dpboPAN7yEjyF+eisNmyZ6k5s0ZxGgTV2A4Ft9EULZKMJ+6ARoCjUbFuviQ+SLDfc8BkNuL5bQ/3uvZr4oVUk25zM0ZHc9+EYxpwXj9sZ4IXf7GDx/XvwujUugBJFTh3ipBNYd02ARb/bxWv37cHrDjHl/5L5/Xuj6TVQ3Tl2ofuIK0DVB58QrHZi7t8P26QJmvgA4Nz6EwCOIaOQdNoNrvc1RbBRmvmgt9qQdDr8LidKSLsLaGOa2Ll1nWZz9Rri44iadS4AFW+8Tcjr/ZlnhIfuILJWh55fPT2QeY/3x2SV+fadYp6Ys4EDO10//+QwIYqcOsZJJbC++iCPXbSB9Z+WYY3Uc8Ozg7n8oSxNZknpTuJav2sPrh/WIhmNxFx2ieop4UaUUIiarQ1RUkMFq3b4D6VltUwRS5KMwRYNSkjVIqsjsaZlondE4ysvwVNUoJkf9tMmY0pPI1hZRfXHn2rmR3cQWUmSOOXCJO59fwxpQ20U59Tz1NyNZK9Tb2rJFogUcYc4qQTWaNExflYC/cdH8oclYxh1VpwmfvjKa7qNuIY8HirefBeAqNnnYYiL+ZlnhA933l4CtU5M8UmYElM18wMOFxZpKbDN7ftrtEsTS5JM5LCGCuLGDIMmfsgysVfMBb2e2lXf4dmbo5kvR4ps1fe7NfEjoa+FO98YyVnX9yZ1oI304XZN/BB0jJNKYAFm3JLGbS8NbzVTk5roI61YMxI0F1eA6o8+JVhZhSkzHfuUUzTzA8C55VB6ePg4zaJogKDPQ9Bbj85sRWfU7nsCYHRo3w8LhwvOardvRAlqNxG9ITGBqBlnAVDxxjuEfOquatWcRpE1RNuw9FVnGsmjoTfKXHhHOncuHoHeqNElW0SwHeKkGwcbznmE24ts0JNx74UQUjQVV4CI8WPw7s8n9vJLVF+KrjlKMMj/t3fnYVWV+wLHv3tvpg0bAcF5BklJJQfUUg9OHUuP5lFJK5MTDYLee263SU9ZHSvLbmkmT87VscE0JY/a1U52xFPeygEV54EEE0QJRbbMe1r3DwJB1DrYftdWfp/n2c/DXqzN78ce1m+/73rX+5ZkHgWDgaAu6q63vBJP6B6uUnUO2KZzgfUNbYpfq3aUn/6RspyT+LfrqFsujQbHUn7kOP49opWOsr+S5uP60uTu2zAFqJ0r+0p0K67QoIvk9bjpCqynUDFp/6/h274tzZ/5L11bjAAGk4nwqTMoyzmJV6C6a06vxMtsoeXgcRi93Tvv9K8R2D4Ko48fllYReqdCs2FjMfn74xMcqmseBpOJpv85Wff3bBVPKK66a8Ajga+HZ1QB4VYec6Dy9cMSoWamnmvx8rcQGq12co2r8W/eDv/m7fROAwBzyzZ6p1DNU96zQlwPKbBCCCGuqSFfanM9PG6QU0pKCn376nedphBCiMvIIKd68agWbHZ2Nq+//jomHScgEEIIcRlXwy2S18NjWrBOp5Np06YxYcIEvVMRQghRk7Rg60VZgXU4HFy8eLHOrbi4cvqvpUuXEhkZSWxsrKqUhBBCCLdR1kW8c+dOEhIS6mxv1aoVycnJbNiwgZSUFA4ePPiLf2tyUK47Uvz3hH+ra/hNlm66xgfIbKvfrFBVikv1nSjCE/j76zNvb03RIeqX3KtpRNMDusYHDzkuuUsDboVeD2UFtl+/fhw7Vne6sfLycuLi4pg1axYBAQGq0hFCCPFrSYGtF93PwR48eJDs7GwSExOJiYkhKSkJq9VKTEwMubk38TdCIYS4Ubi067vV0/Lly/nd735Hz549efrppyktLb3ifkePHmXixIn07NmT2NhYFixYUL0ylM1m49VXX2XAgAH06dOHpKQkZbVF9wIbExPDvn37SEtLIy0tjcWLFxMUFERaWhotW7bUOz0hhBCa6/pu9bB161bee+89PvzwQ77++musVitvvPFGnf1cLhdTpkxh2LBhpKWlsWrVKlauXElqaioAS5Ys4cCBA6xbt45t27bRtGlTnnrqqet6On4t3QusEEIIcbn169cTFxdHhw4dCAwM5PHHH2f9+vU4nbXXTjYajWzcuJH4+HgMBgMXLlzA5XIRFBQEQGlpKVOnTiUsLAxfX18mTpzI/v37cbncP/+jR10HC9C3b1927NihdxpCIc2lodkduiyMYDudj08rfVZK0TO2q9yG0U//uZjFDcJN52AdDscVu32NRiOZmZn8/ve/r97WoUMHSktLycvLq9O76e/vD8DQoUPJyclh1KhR9OzZE4Dp06fX2jc1NZXIyEiMChY/kRasAEBzuijJ1Wcx58It6djyCvWJvWYLzuIrn9dxtwuffImrwqZL7J9W/Kv6HJVKzgoHZT8VK48rrpObzsHu3LmT3r1717ndc889lJWV4ed3aaEFs9kMQFlZ2VX/3qZNm/jqq684dOgQCxYsuOLvlyxZwnPPPXcdT8avJwXWgzgdGgVnypXH1TSNA29/Q1me+gOfw1pC3gdb0Ozq1yB1FhZTknaYihOnlcfWnE7KDp2gZPsvX5bmDtZvj1C0Q/0i4kYfE7tnfomtSP373F7hwpqvzxeaG56bJpqourrk8ltqaip+fn5UVFy6BK2qsF7rahNfX1/atm3Lo48+yubNm2v9bunSpbzwwgskJyfTp0+f63xCfh0psJdx6TQlmDXfRvLD+3E61MfP+CCNH9cfwtImWHnsvOX/xFlUhmZ3/vLOv7Gib/aC00XFiRzlse2n89Eq7BSlpimPDaA5HJxZ+iXOMrUFx2AwoDlc7PzLJpwVar9Uefsa+WD6UY7vLFQat4pex5YbVUREBJmZmdX3s7KyaNSoEU2bNq21X0FBAUOHDqWwsLB6m91up1GjymUxXS4Xzz//PCtXrmTFihVKJzOSAvszTdNY/49iZs9Xv/B1RpqV2WP3YKtw0aSNWWnsk+sPcuz9nXgF+OAb6q80dsmBkxSm7gdAs6k92GqaRtHWyuJmy1Tfgq1qNVccP4UtO095fM3mwHH+IvmrvlYeO6BtMBcOnGH3zC9xOdQuNBrZJ5j5CfvZ/G628i7yzf8q5fXkAkpLb8DFVXWYKvGee+7h008/JSMjg+LiYpKTkxk5cmSdc6eNGzcmNDSUefPmYbPZOHHiBO+++y5xcXEAvPPOO3z//fesXr2azp3VLpcpBRb4vx1lxI4+zYTJZ7l/bKCyuJqm8dV72bz9p31Y823EjFA74OXMN5kcmPcNAJY2wUrX4HTZneQu3nTpvkNtgS0/nIXj7HkAKk7kKD/Y1mw169GKreoxOL9hB+VZZ5XGtrQJASDv25McmKv2XHDMiCa4nPD3OVks+c/DlF5U974bNsifz/63hFv6/ciyj604dOitqjcdCuyQIUN47LHHSExMZNCgQQQGBjJt2jQAcnNz6dGjR/X1rPPnzycvL4/+/fuTmJjIQw89xJgxY3A4HLz//vvk5eUxbNgwevToUX272jW1vyWPG0Ws0qFjFcyYXcDnX5YA8B8PBxHeTs1I1rIiBx88e4x9/6w8yBsM0OtudQX2fHoue17eXD0AIaBtsLLYAOfXfY8t53z1fdUt2KItu6p/dhYW4yy4iFdokLL4FTVazcXb0gm5fxhGHzXvPc2loTl+7pJ3aeQu3ESH/0nAYFTzBcvSLrj651Mbj+AbGkDnR9UsUdmkrZn20YGc3F/Evi3neT1uD4/Nv5U2URa3xzYaDcx+PpS7JuSS9Ew+8xYXMuvZUMaMCPD8BeYVXNJyJfHx8cTHx9fZ3rJlS/bu3Vt9v0WLFixevLjOfl5eXqSnp7szxWtqkC3Y7NN2Hnkij+5DsquLqyXAwPNPhCiJn3O0mNnj9lQXV4DI3kEEN1Mzr+7FE+fY+dxGXLZL5z0tbdX87wC2MwXkr95Wa5vKc7DOiyWU7Dpca1uFwm5il82O7dSlVqOrpIzSnYeUxa8urj8rO36aC5v3KItf1YKtkvFhGlmf7VcWv2ZPUf6pct6YsJdvU84oiX1nrD93xlaeBjp2ws69j56l/8gcvvn+6iNjPYKsplMvDarAaprGW4sv0Kn/KZavKqr1peypKSE0DXN/gz7nWDFL/nyY/FO1R1HG/KHpVR7x2yrLL2b3zM11hs5bFLVgNU3jzNJ/oDlrfyNWOYq4eFs6XFZkVA50sp06C5f9/yq7iev0FpiM5H2YiqNQzSjygNZBUKPBZvQxcez9nZz9NktJ/F7Dm1Czweiwaax5LZNvVqmZPm/2jNBa93fsqWDw2NPEPXKGouIb8PysuKoGVWANBgOPPxbMO7Nrd8U2DTPxRGKwkhxad7Iw84vedLjt0rleo5eBHsPClMQ3N7Ew+KMHaD+2cjUeo0/l4vaXtyrcRbM5aDppCO1evB8AnxaN8Qqx4FI8irjlrCQM3l5gMNB40nDsueeUxbadOI1lYA98O7cDICxpLOZuHXEWqbkeV3M4wADmzq0BaDyiNxHzHlP2Gph8vfBv3qj6vRfQKoi7Pn+E5v07KIkf3MyXjjGXTgd4+xl57u89ib1PzdSsPaP9mPDH2l3S942x8P7bzQi0eOghWVqw9eKhr6b7/Jjj4JW5lUtref3cYH3hyRClb+x/LDlF1r4iwtr4ERkTRFS/YCwh6mYxshdVcPLvlddf3jFvNJZ2IZWtCgWMvt6Yw5tTcuAkAI1+dysd/icB77BGSuIDBP2hP94tm1TOHhXoT9CI/oQljlEWP2DAbTRJGod3i8ovVQaTkeAxgzAFqhnFrWnQ5i/30uLRuwAo2ZeJT7NgfJqoOwcdGN6Y2+feQ0CrIIqyCsj77qSy2AAxf2iCr7+JnneHYS938bdnjuK0q2s9vjI9FC+vS8egNRuK+cfWEmXx/206TfZ/o2tQg5wyf7QzdNxpTp12cGesmfvHBvLa2xd4dKK6A8uJPVY2LvgRowkentMZg9FAXqbamYROrjuAo8RGs/7tadytBbfPGYXJV+1boWRfZXegpXt45cG9WbDS+M6Lld2hpqDKloQpQN3lUVWxqmI7L6o9sHqHWPC+vTOa04Up0EzFqXzsBUV4N1Y3gr7bf8dibhZIx4k92ffGVjI+SqNZ//bKBvv0vKsJxQV2hvypNTlHSzi5v4j/fedHRj+hphUd0d6bxPggCi446dHNl2kvn+fBqZWXa42/R93r8Gtp9Zywv6FrMC3Yy4vruuUtiBtp4c2/huLjo+ZDXXrRwftPH0Vzwcg/t6fDbY1o3y2Q3iPVnH8FcJTbyVy9D4DIB3sBYG6m9gPtLC6j7MQZjH7emG9prTR2dQ7WyqJmaqTfGsRVsZ1WfaYONJiMBHRrD1z6wqNK1Xuu9V2d8GsSQOGRnzi/R91AM0uIN3cntsUvwMTDczpj8jbw5dJsjm0vVJbD80+E8NB9jXhqSghvvBiK0wkPTs1j9YYiZTkI92oQBfZKxdVsNmIJMDL6bvcPz4fKwT2fzMygILeCyN5B3PVYm+rfGU3qhuhnbzyCzVpOaI9WhHRprixuTSX7T4JLw79LO4zeJl1yqCpqnlFg9esaDOgeDkBxeuYv7OkeRm8TERN6AJDx8W61sX/+3LXrGsjo/26PpsHy6UcpvmBXEr9pmBd3xlaeFvD4IitdxPVy0xfYqxVX1bb/PY/dm/LxD/LioTc6KS2qVVx2Jz+srLx2LHJSL+XxqxTX6B7WS1W3bFU3rR706iKuydK9sku0ZF+WLpP/A7QddSveQX6c253DhcPqZ7UCGJrQmqh+wRTm2Vjx4nFdnguPLrIyyKlebuoC6ynF9aeTZXw66wcAHnzlFhq38PuFR7hHzlfHKf+pmODOTQnrpU/XLEDJz62lgO5qznddiUe1YC/qt7qMT7MQvJuH4LhQTEV2vi45eJm9CY+7DYAfVqhtxVYxGg386fVOWEK8Sf/qPP+3Wu3sVlU8tsi6XNd3a6Bu2gLrKcXVYXPx3lNHqCh1MWB8c2WX41xOc7r44ZPKyQQ6PthLt5ljbHkXsJ29gFeIBd82+qyFCuD6udVo1LXAVrZgXTp2EQNYbvu5FZuu9jxsTe3HdsVk9ubstiyKss7/8gPcIKipL/Gv3QLAmtknOPODPq+LRxZZacHWy01ZYD2luAJ8nnySU4eKaR5uJu4vEbrkAHBmWyYlpwqxtAuh+QD9Wo5V3cMBt3XQdXo4T+giNgaawWDAebFEt+5ZuNRVX6x4oFNNPoF+tP9jVwAyVqibVepy3QaHMmhiS+zlLt5/+ij2Cn1aXx5ZZMW/7aYssDPfLPCI4nrkuwtsfjcHL28DD8+NwtdfnwE9mqaR8VFl11vHB3spm3P2Sqq6h/U8/wo1uoh1LLAGkwljoD+azY5Wrt86pQHR7cEApQdPKp/wo6bw8bdh9DGRuyWD0tyLuuUx5pkOtIz0J+doCeve0u9LR80i+8QL5yjRcRUezeW6rltDdVMW2EVvNOEvfw7RtbiWFNr5YHrlgtZ/fLqDksnEryZ/VzYXM85hbh5Iq6EddctDc7oqRxBT2YLVkydcplMzvp7nYU0WM+aOLXGV2yk7rn5t3Cp+oQG0HRGF5tT4YdXeX36Am/j4mXh4bhTevkZSPzjN4W0FuuXy1JQQkl8N44uVLQnw1/FwLV3E9XJTFtgAfyOvPheqW3EFMAd6MXBiS7oNbszgSa10ywO41Hq9vwdGL31a0QDlWXk4i8rwbddE6aQGV3JpogkPKbA6n4cN8IDzsAAR9/fAYDKQvekI5ef0e05a3RLAuOnhdBvcmLZd9X2v/sfDwUTfqmYhkKuSy3TqpUHN5KSS0WRgeFJbXC4No45dsppLo3m/9jhKbbQZEaVbHnDpWsuAaH27hzWnE1dxGQYfbwy+Prrm4gmX6kBll/25lG8p3pdJ04mDdMvDv0Uj2gyPqrUYgF5i729B7P0tPH8pORVkJqd6kQLrZnoWVwCD0UDE/T0Iv6+77geK4MHReAUH4Nehma55aHYHAX27AOj+nPh2bI1md2CyqJuq8UrMnVvT7E9Ddb10qkr0M4N0f11A//eGuPFJgW0gPOFg4R0aSMid3fVOA6OfL00fv0/vNAAIGtGfoBH99U4Do7cXYWP76Z0G4BnvVVGb1oC7ea+HFFghhBDXJl3E9SIFVgghxDVJC7Z+bspRxEIIIYTepAUrhBDi2qSLuF4Mmp5ztAkhhBA3KekiFkIIIdxACqwQQgjhBlJghRBCCDeQAiuEEEK4gRTY30BKSgp9+/bVOw1dLFy4kEGDBhETE8OkSZM4fvy43ikpcfjwYeLi4ujevTujR48mPT1d75SUS0tL495776VXr17ceeedrFq1Su+UdHPu3DnuuOMOtm7dqncqwoNIgb1O2dnZvP7663qnoYu1a9eyfv16PvroI7Zv384dd9xBYmIirpt8/ceKigqSkpIYO3Ysu3btYtKkSUyZMoWSEn0n7FfJarUydepU4uPj2bVrF/Pnz+ett97iu+++0zs1XcyYMYPCwkK90xAeRgrsdXA6nUybNo0JEybonYouLly4QFJSEm3atMHLy4v4+Hhyc3M5e/as3qm51fbt2zEajTzwwAN4e3sTFxdHWFgYX3/9td6pKZObm8vAgQMZNWoURqORLl260LdvX/bs2aN3asqtXLkSs9lMixYt9E5FeBiZaOIaHA4HpaWldbYbjUYsFgtLly4lMjKS2NhYUlJSdMjQ/a71HDzyyCO1tqWmphIcHEzz5s1VpaeLrKwsIiIiam3r0KEDmZmZOmWkXlRUFG+++Wb1favVSlpaGqNHj9YxK/WysrL429/+xurVqxk7dqze6QgPIwX2Gnbu3ElCQkKd7a1atSI5OZkNGzaQkpLCwYMHdchOjWs9B6mpqbX2++tf/8rLL7+M0Xhzd4yUlpZiNtdeXs7Pz4/y8nKdMtJXUVERSUlJdOnShSFDhuidjjIOh4Np06YxY8YMgoOD9U5HeCApsNfQr18/jh07Vmd7eXk5cXFxzJo1i4CAAB0yU+dqz0FN69at46WXXuKFF15g1KhRijLTj9lsrlNMy8vL8ff31ykj/WRnZ1efJnj77bdv+i9XNS1cuJCoqCgGDhyodyrCQzWcT8Nv6ODBg2RnZ5OYmEhMTAxJSUlYrVZiYmLIzc3VOz2lFixYwOzZs1m4cGGD6SILDw8nKyur1rasrCw6duyoU0b6OHToEOPHj2fAgAEsXLgQPz8/vVNSatOmTWzcuJGYmJjqz/6TTz7J0qVL9U5NeApNXLft27drffr00TsN5VJSUrTevXtrP/zwg96pKFVRUaENGDBA+/DDDzWbzaatWbNGu/3227WSkhK9U1MmPz9fu/3227UlS5bonYrHGDx4sJaamqp3GsKDSAtW1NvSpUspKSkhLi6OHj16VN9OnDihd2pu5ePjw7Jly9i4cSN9+vTh448/ZtGiRQ2qizglJYWCggIWLVpU67WfN2+e3qkJ4TFkNR0hhBDCDaQFK4QQQriBFFghhBDCDaTACiGEEG4gBVYIIYRwAymwQgghhBtIgRVCCCHcQAqsEL8gLS2NBx980G1/PyMjg3HjxuFwONwWQwihnhRYIa6hoqKCGTNmMG3aNLfFiIyMJCoqimXLlrkthhBCPSmwQlzD2rVrCQ0NJTo62q1xEhISWLZsGUVFRW6NI4RQRwqsaDC++OILOnXqVL0wuqZpJCQkMGbMGGw22xUfs3z5coYPH159f+3atdx99918+umnDBkyhK5du/LAAw/Umh6yU6dOrFmzhvvuu49u3boxYsQI0tPT+eSTTxg4cCA9e/bkySefrBUzIiKCVq1asXr1ajf990II1aTAigZj+PDhjBw5kpkzZ1JSUsJHH33E3r17mTNnDj4+PnX2z8zM5OTJkwwaNKjW9pycHD7//HOSk5NZvXo1VquVV155pdY+b731FpMnT2b9+vVYLBYmT57Mli1bWLZsGbNnz2bz5s2kpKTUeszAgQNrrbErhLixSYEVDcqLL76Iw+FgxowZzJ07l2effZaIiIgr7rt//37MZjOtW7eutd1ut/PSSy/RtWtXbr31VsaPH096enqtfcaPH8+QIUMIDw9n9OjRWK1WZs6cyS233MJdd91FVFQUGRkZtR4TGRnJvn37ftP/VwihHymwokEJCgri5Zdf5osvviAmJoYJEyZcdd9z584RFBSEwWCotd1gMNCuXbvq+4GBgdjt9lr7tG3btvpns9mM0WisVaj9/PzqdEs3btwYu92O1Wqt1/8mhPAsUmBFg3Po0CFMJhNHjhyhoKDgqvsZDAacTmed7UajES8vr1rbLl+U6vLfGwyGOoX6ci6Xq/rvCyFufPJJFg3KwYMHWbRoEXPmzCEsLIwXX3zxqvs2adKEwsLCOsXTXQoKCjCbzQQGBiqJJ4RwLymwosGw2WxMnz6dIUOGMGLECGbNmsWWLVtYt27dFfePjo7GbrfXOVfqLocPH3b75UBCCHWkwIoGY968eeTn51e3WqOjo4mPj+fVV1/l7NmzdfZv37494eHh7NixQ0l+O3bsYOjQoUpiCSHcz6Cp6v8S4ga0YsUKPvvsM9auXevWOEePHmXixIls3bqVRo0auTWWEEINacEKcQ333nsvVquV3bt3uzXOBx98QEJCghRXIW4iUmCFuAYfHx9ee+015s6d67YYx48f5+jRo0yePNltMYQQ6kkXsRBCCOEG0oIVQggh3EAKrBBCCOEGUmCFEEIIN5ACK4QQQriBFFghhBDCDaTACiGEEG7w/09xXukKUK5/AAAAAElFTkSuQmCC\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "demag_oc.plane(z=0e-9).mpl()" ] }, { "cell_type": "code", "execution_count": 250, "id": "3c108c61", "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "(demag-demag_oc).plane(z=0e-9).mpl()" ] }, { "cell_type": "code", "execution_count": 202, "id": "4b0da4a5", "metadata": {}, "outputs": [], "source": [ "m_pad= system.m.pad(pad_width={'x': (0, 0),\n", " 'y': (0, 0),\n", " 'z': (0, 0)}, mode='constant')\n", "mft = m_pad.rfftn\n", "k = df.Field(mesh=mft.mesh, dim=3, value=lambda x: x)\n", "k2 = k @ k + 1e-11\n", "demag_ft = -mft + ((1/(1)) * k & (mft & k) / k2)\n", "demag = demag_ft.irfftn\n", "demag = df.Field(mesh=mesh, dim=3, value=demag.array[0:system.m.mesh.n[0],0:system.m.mesh.n[1],0:system.m.mesh.n[2],:])" ] }, { "cell_type": "code", "execution_count": 203, "id": "de43769e", "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "demag.plane(z=0e-9).mpl()" ] }, { "cell_type": "code", "execution_count": 154, "id": "e3929786", "metadata": {}, "outputs": [], "source": [ "pad_arr = np.arange(9,50)#[system.m.mesh.n[0]-2, system.m.mesh.n[0]-1, system.m.mesh.n[0], system.m.mesh.n[0]+1, system.m.mesh.n[0]+2]\n", "m_arr = []\n", "\n", "for pad_s in pad_arr:\n", " m_pad= system.m.pad(pad_width={'x': (0, pad_s),\n", " 'y': (0, pad_s),\n", " 'z': (0, pad_s)}, mode='constant')\n", " mft = m_pad.rfftn\n", " k = df.Field(mesh=mft.mesh, dim=3, value=lambda x: x)\n", " k2 = k @ k + 1e-10\n", " demag_ft = -mft + ((1/(1)) * k & (mft & k) / k2)\n", " demag = demag_ft.irfftn\n", " demag = df.Field(mesh=mesh, dim=3, value=demag.array[0:10,0:10,0:10,:])\n", " m_arr.append(np.max(demag.z.plane(z=0e-9).array))" ] }, { "cell_type": "code", "execution_count": 156, "id": "b77de686", "metadata": {}, "outputs": [], "source": [ "dme = m_arr/np.max(demag_oc.z.plane(z=0).array)" ] }, { "cell_type": "code", "execution_count": 157, "id": "fdef89b3", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 157, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.scatter(pad_arr, dme)" ] }, { "cell_type": "code", "execution_count": 153, "id": "1acd4516", "metadata": {}, "outputs": [], "source": [ "np.savetxt('demag_error_x.txt', pad_arr)" ] }, { "cell_type": "code", "execution_count": 148, "id": "0f603c37", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 148, "metadata": {}, "output_type": "execute_result" } ], "source": [ "zip(pad_arr,dme)" ] }, { "cell_type": "code", "execution_count": null, "id": "20aec3d1", "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.9.5" } }, "nbformat": 4, "nbformat_minor": 5 }