{ "cells": [ { "cell_type": "markdown", "id": "c68f371a", "metadata": {}, "source": [ "# Flow-dependent heat transfer coefficients\n", "\n", "By default the heat transfer coefficient between the fluid and the storage is a constant\n", "parameter, `\"Heat transfer coefficient [W.m-2.K-1]\"`. In practice it depends on the flow, so a\n", "value chosen at one flow rate does not hold at another. The option\n", "`\"heat transfer coefficient\"` computes it instead from a Nusselt number correlation, with the\n", "fluid properties from the fluid-property object and the geometry from the family:\n", "\n", "- `\"Gnielinski\"` in the finned-tube models, for the flow inside the tubes;\n", "- `\"Wakao-Kaguei\"` in the packed bed, for the flow around the capsules.\n", "\n", "Every model outputs `\"Heat transfer coefficient [W.m-2.K-1]\"`; with a correlation it also\n", "outputs the surface Reynolds, Prandtl and Nusselt numbers." ] }, { "cell_type": "code", "execution_count": 1, "id": "bb68974a", "metadata": { "execution": { "iopub.execute_input": "2026-10-23T17:48:27.534921Z", "iopub.status.busy": "2026-10-23T17:48:27.534740Z", "iopub.status.idle": "2026-10-23T17:48:28.730646Z", "shell.execute_reply": "2026-10-23T17:48:28.729659Z" } }, "outputs": [], "source": [ "import matplotlib.pyplot as plt\n", "import numpy as np\n", "import pybamm\n", "\n", "import pytes" ] }, { "cell_type": "markdown", "id": "ea81df0d", "metadata": {}, "source": [ "The Gnielinski law uses the laminar Nusselt number of a tube at a uniform wall temperature,\n", "3.66, below a Reynolds number of 2300, the Gnielinski correlation above $10^4$, and a linear\n", "interpolation in between." ] }, { "cell_type": "code", "execution_count": 2, "id": "b98d0247", "metadata": { "execution": { "iopub.execute_input": "2026-10-23T17:48:28.732367Z", "iopub.status.busy": "2026-10-23T17:48:28.732088Z", "iopub.status.idle": "2026-10-23T17:48:28.921801Z", "shell.execute_reply": "2026-10-23T17:48:28.921164Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "Re = np.logspace(2.5, 5, 200)\n", "fig, ax = plt.subplots(figsize=(6, 4))\n", "for Pr in (1, 7, 50):\n", " Nu = pytes.submodels.Gnielinski(1).nusselt(pybamm.Vector(Re), pybamm.Scalar(Pr))\n", " ax.loglog(Re, Nu.evaluate(), label=f\"Pr = {Pr}\")\n", "ax.set_xlabel(\"Reynolds number\")\n", "ax.set_ylabel(\"Nusselt number\")\n", "ax.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "1f78ad06", "metadata": {}, "source": [ "The default finned-tube battery runs at a Reynolds number of about 4200, in the transition,\n", "where the correlation gives a coefficient about twice the default constant. Here the battery\n", "is discharged at the default flow rate and at a quarter of it, which is laminar." ] }, { "cell_type": "code", "execution_count": 3, "id": "bd558c00", "metadata": { "execution": { "iopub.execute_input": "2026-10-23T17:48:28.923606Z", "iopub.status.busy": "2026-10-23T17:48:28.923468Z", "iopub.status.idle": "2026-10-23T17:48:31.012061Z", "shell.execute_reply": "2026-10-23T17:48:31.011168Z" } }, "outputs": [ { "data": { "image/png": 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D0e3Ueb3RdfELIdyWo/OYu3B1fhZCCCEqoyJ5TApvB8sx5zBq6SiOph+lY2RHvrzuS7x06hV4RVHI/fdfUubOJXPlKrCodz11YWEE33YbwXfcgaFuHafGJ1xo69ew63v1znd+1qXrH/m3eNC2+K2Qlw612oFfeNXGKYRwO1J4V96V8rMQQghhDym8L1LVP1hOpJ/grqV3kWXO4vamt/Ni9xcveX+oOSGBtB9+IO37hVgSEtSFGg3+ffsSfOed+Pftg0Yvj+B7pEueG98FKcfg4W1q13aARffCnh/V+VLPjbdR50Pqq4PECSFqBCm8HaM8+VkIIYQoLym8L+LoxG622kjOysdksVIvzK/MNn+d/otHVj+CgsIzXZ/h7hZ3l9lOMZvJjIsjbcECstdvKFquj45W74LffhtetWpVOmZRzfzxHBz8HVKOXrpOq4dnzxZ3Sz+1Ebx8IaI56OWRBSE8kRTe5ePI/CyEEEJcjRTeF3F0Yt92MpXbPl1PTKgPf/93wGXbfb3na2Ztm4VWo+XTgZ/Ss07PK+43/8QJUhf+QPrixVhTU9WFGg1+fXoTPGIEAf36ofGSbnE1SuFz4+d3F9wh3wUaHUyMK27zeT84ux20XmrxHd0Golurn1GtZVR1ITyAFN7l46z8LIQQQpSlInlM+jLboeh1JTnmK7Yb12ocR9KO8OvRX3nyryf5buh3NAhqcNn2hvr1ifrvU0RMfozMFStJW7iQnM2byV77N9lr/0YXHk7QzTcRfNvtGBtefj/CgxgDILa7OhUqea1MUcA3XH33eF46XNitTjsL1oc0gMd2FLc/vhYCakNoA9DqquIMhBCiyjgrPwshhBCVJYW3HQoTe6bJgs2moNWW/XyYRqPhpR4vcSrjFDsSd/DgqgeZe8Ncwn2uPFiW1mAgaNhQgoYNJf/ECdJ+/JG0xT9jTUoi5as5pHw1B5+OHQm+7VYCBg9B5192dzrhoUo+j6jRqK84UxRIP138rvHCKbpNcVtFge9HqwW6l6/6vvKoVupd8ajWENUSfEKq/nyEEMJBnJ2fhRBCCHtJV3M7mCxWmj2/HICdL11XlOgvJzk3mdHLRhOfFU+rsFbMGTwHXy/fCh1TMZvJ+usv0hb9SNbateoAXYDG15fA664jaPhwfLt0RqOVV7OLEqwW0BVcX8tLh2+Hq+8Rt+Re2rbxIBj9Y/H3vT9DeBMIayLPjgvhYtLVvHxckZ+FEELUXNLV3MmMeh3eXlryzDYycs1XTexhPmF8du1njF42mr3Je3lq7VO83/999Nry//FrvLwIGDSIgEGDMF9IIP2XX0j/6SfyT5wg/eefSf/5Z/S1axF0000E3XSzdEUXKl2Jv2PeQXD/arBZ1VHUL+wpeH684DOqVXHb7GT4Yaw6r/VSC/DIlupd8chW6mvOAmXQPyGEe3FFfhZCCCHKQ26P2qnoObLcKz9HVqheYD0+GvgRRp2RtfFrmb5xOvZ2NvCKiiR84v00/H0Z9ebNI3jE7Wj9/bGcPUfyZ7M5dsMNHL/jTlLmfoelcJA2IQppdWoh3Wo4DHgeRi2AKbth4LTiNnlpENMdjIFgM0PCPtizCP58BebfCetmFbc1ZcGGT+BoHGSeL/0MuhBCVDFX5mchhBDicuSSrp0Cvb24kGEio5yJHaBdRDve6PsGj695nB8P/0iAIYDHOz1u9ztENRoNvh074NuxA1HPPUdWXBxpP/9M9rp/yNu1i7xdu7gwcyZ+vXoSNGwYAQMGoPWT58HFZZR8TCGsEUz4o/jZ8Qv7IGFvwed+9Y53oYT98MfU4u/ewerz4xHN1c+G/SCiWVWdhRCihnOH/CyEEEJcTJ7xttPHcUdIyc7nrq4xNI4MqNC2Px3+iZfWvwTAw+0fZlK7SQ6JqZAlKYmMZctI//kX8vbtK1qu8fYmYEB/Am+4Ab++fdEa5Lld4QBnd8DatyDxgNqFXbGVXj9kJnR/UJ1POgzrP1CL8ohmEN4MguqWHjBOCHEJeca7/Nw5PwshhPAs8h7vi7jjD5Zv9n7DW1vfAuCZrs9wd4u7nXIc07FjZCxZSsbSpeSfPFm0XBsQQMDAgQQMGYx/z55opAgXjmDOg6RDahGeeAASDkCvxyC2m7p+5/eweGLpbbz81K7vEc2g60So27nq4xbCzbljHnMEdzyvqsrPQgghqj8pvC/ijokd4NMdn/LJzk8A5yd3RVHI27OXjGXLyFi2DMuFC0XrtAEBBAwYQMDgwfj17iV3woXznNsF+3+FxIPFd8htluL1oxZC08Hq/L5fYNXLEN4UwhtDWGN1hPWwxuAfKXfJRY3irnmsstz1vKoyPwshhKi+pPC+iDMSe57ZSlqOGb1OQ7i/0a59KIrCu9ve5eu9XwPwRKcnGNd6nEPiu+JxbTZyt20jY/kfZK5YgSUxsWid1s8P/wEDCLh2EP69e6P1ldeqCCeymtXiu/AueYcxEBCtrlvzBqx5reztDAFw13xo0Ef9nnYKshIgtCH4hlZN7EJUIXctUCtL8rMQQojqTArvizgjsc9acZAPVh9hTPd6vHpLa7v3oygKH27/kC92fwHAIx0eYWLbiVfZynEUm43cf/8l448VahFe4k64xtsbv969CBg4CP9+16APCamyuIQgO0l95VnSYUg+ok5Jh9XB3hQbPLQFIpqqbde+DatfVee9g9UCvOTUdLAU5KJak8K7/DwlPwshhHB/8h7vKhBY8LqSjLzyj5paFo1Gw6MdH8WoM/LRjo/4cPuHZOVnMbnTZLQa57/tTaPV4tu5M76dOxM19Rlyd+wkc+VKMleuxBwfT9aqP8la9Sdotfh27KjeDR84AEO9ek6PTdRwfuHqiOgN+5VebjFB6gm1oC6k1UFALcg8p74K7ey/6lToPxuLC+/tc+Hg7xDaAELqQ0jBZ1AM6OUxCyGqO0/Jz0IIITyLFN52Cqzge0KvZlK7SRh1Rt7Z9g5f7/2axNxEXun5Cl46L4fsvzw0Wm3R68ki//sUpoMHyVyxkszVqzEdOEDO1q3kbN1KwptvYmjUiID+/fDr2xffDh3QeFVdnKKG0xsvfT1Z7ynqlJ+jFuUpR9Uu7CnH1fmQ+sVtT2+CA0su3a9GC4F1YNyS4vYX9kJuKgTHQkBt0Mk/mUK4O0/Mz0IIIao/+RVpp6DCK+oOSuwA41qPI8Q7hJfWv8SSY0tIyUthVr9Z+HlV/bu3NRoN3s2b4928ORGPPkJ+/BmyVq8ma00c2Zu3kH/0KMlHj5L85Vdo/f3x69UL/7598OvdB6+oyCqPVwgADL4Q1VKdLqfjWIhqrRblqcch9aRarFty1W7svuHFbTfNhn//T53X6NTCPDhGvTseHAM9HwHvIHW9zareeRdCuJSn52chhBDVkxTedgr0duwV9UI3N76ZUO9QnvjrCdafXc+Y38fwfv/3iQmIcehxKspQtw6h94wh9J4xWDMzyVq7luy1a8la+zfW1FQy//iDzD/+AMDYvDn+ffrg37cPPu3by91w4V7qdr70lWWKog7Oln4ajP7Fy31C1C7taafBZob0U+pUqNfk4vklU9QR2wPrQlAd9f3kgXXUKagOxHQDuUMmhNPVtPwshBCiepDB1ey072wGN3zwNxEBRrY8N8gh+yxpT9IeHv7zYZLzkgk0BPJW37foWaenw49TWYrVSt7evWSt+Yusv/8mb88etYgpoPXzw7dHd/x69MCvRw8MDRqgkddAierGZoOsC+ro6emn1c/sJBhSYtT1b2+Fo39efh/PngVDwd2xNTMhfos6gntALfCPUj8DotX5wDqglWdIRTEZXK38JD8LIYSoKjKq+UWckdjjU3Po/UYcBr2WQ9Ovd8g+L3Yh+wJT1kxhd9JutBotj3R4hHtb3+vWg7pYUlLIXreOrL/Xkb1uHdbU1FLr9VFR+HXvhm/3Hvh174ZXrVouilQIB8tLh/R4SD8DGYWfBZMpEyauKW57tSL9uQvg5a3Or/8Qzu9R313uH1UwRRZ/+oTIO81rACm8y0/ysxBCiKoihfdFnJHYc/ItvPjLXoJ8vHj2hhbotM754WuympixcQaLjywGoFutbszoNYMovyinHM+RFJuNvL17yV6/geyNG8jd9i9Kfn6pNl71YvHr1h3fbl3x69oVfUSEi6IVogqd2gTJh9VR2DPPF09ZF8CSB08dKW479zY4sury+ypVpH8ECfvUEeH9ItTn1f3CwTdMnYJi5E56NSWFd/lJfhZCCFFVpPC+SHX/waIoCj8e/pE3Nr9BnjWPIGMQ03pMY1A9x3ehcyZbXh65//5L9sZNZG/cqHZLt9lKtTHUq4dPl874duqMb+dOeNWtK13TRc2iKKXvYB/6AxL2q0V5VkLBZ8E8CjxT4pnzq91JfyGp+DnzVS+r3d19Q8EntOAzRJ33CYEm1xWP4m6zScHuYtU9j11OdT8vT8nPQggh7COF90Wqe2IvdCz9GM+sfYb9KfsBuL7+9Tzd9WnCfMJcHJl9rJmZ5GzZSs6mTWRv2oTp4MFSz4cD6CMj8enUEd8OHfHp2BHv5s3Q6GVMQCEAsJpLD9h2YCkkHlCfP89OguxEyElWJ6sZnjpc3Pbb4XB09eX3/UJyceG96F44sAx8gsE7+KLPIBj0cvFd93M71eMZg8AYAN6BYAwELx/pEl8JnpLHLuYp5+Vp+VkIIUT5SOF9EWcl9tx8K+m5ZoJ8vPAxVM1rhMxWMx/t+Ij/7f0fNsVGkDGIpzo/xU2Nbqr2d4at6enkbN9O7tat5GzdRu7evWAuPSqtxtcXnzZt8OnQHp/27fFp1w59SIiLIhaiGju9BdJOFhTmKer7ynNT1Hlrvvo+80JXvZN+UZG+58dL22h0aiE+eVfxK9g2zYZTG8Dgr64z+Kujyhv8wBAALW9SC3ZQ7/BbTOo6L1/1fe7V/N+8ivCUAvVikp+FEEJUZ9Wy8I6Pj8fHx4ewsLKvDqelpZGUlERsbCwGg6FC+3ZWYr/xw3XsPpPOnHGdGdC8ap/p2pu0l2kbpnEg5QAAHSM78nTXp2kZdoX3F1cztrw88nbvJmfbNnL+/Zfc7TuwZWZe0s4rNhaf1q3xbtMGnzat8W7ZEq2vrwsiFsJD5WWoBXpeGuSmqQPJ5RV85udA/6nFbVc8D0f+VAeUy8sAUwZQIs2Up0gv9PQJtds7wG+TYdvXJVZq1KLcywf0PnD/n+qo8ABbvlS76Ou91cmr4FNvVNt2ewD8CnLNuV2QfKTEvgq3KZgPqAX6iuUcZ5DCu2IkPwshhKgKFcljLu+zu3LlSh566CFSU1Px8fGha9eufPnllwQHBwNgsViYNGkSc+fOJSwsjJycHD744APuuece1wYOBPqof3wZuZYqP3ar8FbMGzqPb/d9y6c7PuXfhH8ZuWQktzS+hUc6PEKEb/UfpEzr7Y1vly74dukCqIO1mY4cIXf7DnJ37CB3+3byT5zAfOoU5lOnyFi2rGBDLcZGjfBu3Rrv1q3wadUKY/PmaL29XXg2QlRj3oHqVB7XTVenQjYbmHPUAtyUWVx0A3S8R32/uSlTnfKzwJSlfuZnqXfAiyigM4LVVPzdnKNOANoS+72wFw6vuHyMHe4uLrx3/wDrP7h82wfXQ1QrdX7tW/D3uwUFfMmCvmAa9i5ENlfbHl4FgbUhSootV5D8LIQQwt24tPDesmULQ4cOZebMmUyZMgWNRsMvv/zCyZMniwrv1157jSVLlrBv3z4aNWrEN998w/jx42nbti3t27d3ZfgE+ajPVqbnmq/S0jm8tF7c2/pebmhwA+9ue5dlx5ex+Mhilh5bys2Nb2Zcq3HEBsa6JDZn0Gi1eDdtinfTpoTceQegdk/P3bOHvN17yN29m7zdu7EkJGA6fBjT4cOkL1ZHm0Wnw9iwId4tW2Bs0QLvZs0wNmuGPjTUhWckRA2g1ardx43+l65r2E+dyuPG99XJagZzbsGUo44Cb85Rnzkv1G4U1O6orrOYwJJb8JkH5rzSbYNjoV4vdX+WvIs+TWpBXSg/G8wFU1mKLgoA53a4xZ3ymkrysxBCCHfj0q7mQ4YMIS8vjzVr1ly2Td26dRk3bhzTpxffQWnRogUDBw7ko48+KtdxnNWV7Zkfd7Fgy2kev7Ypjw5s4rD92mtHwg7e3vo2OxN3AqBBw8DYgYxqMYrOUZ1rzDNm5gsJ5O3dQ96eveQWfFqTk8tsq4sIx7tpM4xNmxZMTTA2aiR3x4UQl8pLV5+Bt+QVF/XmEkV9o/7Fz6+f3KAW9UF1HHJo6WpeMZKfhRBCVIVq0dXcbDYTFxfHG2+8QX5+PqdPn6ZWrVr4lng29/z585w5c4Zu3bqV2rZHjx5s27atqkO+hKuvqF+sfWR7vr3+W7Zd2MbXe79mbfxaVp1axapTq2gc3Jg7m93J9Q2uJ8gY5OpQncorKhKvqAEEDBgAqK97sSQkkLdvH3n792Pav5+8Q4cwnzqNNTGJ7MQksv/5p3gHWi2G2FiMTRpjaNwY7yZNMDRujKFePbRGo4vOSgjhct5BxYX11dTr4dxYxBVJfhZCCOFuXFZ4JyYmkp+fz8mTJ2nQoAFGo5GzZ89y00038eWXXxIYGEhywV3KiwdcCwsLIykp6bL7NplMmEzFXf4yMjKccg6BBYk9w00SO4BGo6FzdGc6R3fmSOoR5h2Yx5JjSziSdoQZm2bwxpY36FunL0MbDqV3nd74enn+IGQajQavqCi8oqII6N+/aLktOxvT4cPkHTqE6dBhTAcPYjp0CGt6OvknTpB/4gSsXFVyR3jVro2hQQMM9eurU4P6GOrVx6tWNBpd1YycK4QQ4sokPwshhHA3Liu8dQVFysKFC1m/fj316tUjPj6e3r178/TTT/Ppp5+iL3hfc35+fqltTSYTXl5el+yz0Ouvv87LL7/svOALBPuqMRxOyHL6sezROKQxL/Z4kSmdpvDr0V/56fBPHEo9xOrTq1l9ejVeWi/aR7anR60edK/VnRZhLdBrXT7eXpXR+vmpryQrMVaAoihYk5LIO3SI/CNHMB05gunwEUxHj2LLzMR85gzmM2fIXreu1L40BgNesTEY6tXHEBuLoV49DPVi8YqJxSs6St49LoQQVUjysxBCCHfjsme8bTYb/v7+PPDAA8yaNato+dSpU1m0aBGHDx8mKyuLwMBAvvvuO+66666iNiNGjCAjI4M//vijzH2Xdcc7JibG4c+Qxafm8PC87Tw2qAn9mkZUi2e0DqUeYumxpSw/vpyz2WdLrfPV+9IxqiOdozrTKaoTLcNaYtDJ4EBQUJAnJ5N/4gSm48cL7oifJP/4cfJPn77kfeOl6PV41aqFV506eNWujVed2njVrlOwrDZeUVFoKviKPCFEzSLPeFeM5GchhBBVodq8x3vo0KGEhoby7bffFi27//772blzJ5s3bwagW7duNG3atKiNyWQiOjqap59+mmeeeaZcx/HUHyyVoSgKJzNOsvHcRjac3cCWC1vIzC/9jmyD1kDr8Na0CGtB05CmNA1pSqPgRvjofVwUtXtSLBbM586phfjJk5hPn1LnT53CHB+PcqWiHECjQR8ejr5WLbUYj45GHx2NV61o9FFReEVGoo+IkOJciBrMU/OYp55XZUh+FkKI6qPaFN5btmyhf//+vPrqq/Tq1YtNmzbx5JNP8tVXXzF69GgAli9fzrBhw5gxYwY9evTg3XffZcuWLezZs6folWNXU1WJXVGUanFVvSxWm5XDaYfZcn4LW89vZUfiDlLyUi5pp0FDvcB6NAlpQpOQJjQPaU6LsBZE+UZV23N3JsVmw5KYiPn0abWb+tmz6nTmDOaz5zCfO4dSonfGlehCQtQCPSICXXgY+rBw9Xt4GLqwcPRhoejCwtCHhKC5wqMYQojqx1MLVMnPVyf5WQgh3Fe1KbwBNm7cyFtvvcXJkyeJjY3lvvvu44YbbijVZvny5XzwwQdcuHCBNm3aMG3aNOrXr1/uYzg7sefmW/lq3TH+PJDAD5N6oNdpHX6MqqYoCqcyT7EjYQeHUg8VTWUle4BgYzDNQpvRMrQlzUOb0zy0ObGBsfJM2lUoioI1JQXzufOYz53Fcu4c5vMXsJw/j/n8eSwXLmBJSLj6XfOL6IKC0IWGogsLRR8Sqs6HhqjLA4PQBQWiDQgo+B6ILjAQja+v/DgTwk1J4W0fyc+Sn4UQwpmqVeFdFZyd2DPyzPR9M460HDNv3t6WOzrHOPwY7iIpN4lDqYc4nHqYgykHOZB6gGNpx7Aq1kvaGnVGGgU3ollIM1qGtaRVWCuahjbFqJNXclWEoihY09KwJCRgSUrCmpSEJTERS1IyluRkrMlJWJJT1PmUFLDZ7DuQXo8uIABtYAA6/wC1MA9QP7X+fkXL1Hl/tH5+aH180Hj7oPX1QevtjcbXV/309pYiXggHcvfCOz09nd27d1OnTh0aNGhQ7u0kPzuO5GchhKh6UnhfpCp+sHy+9iivLTtArSBvVkzpS4B3zenqa7KaOJJ6hP0p+zmQcoD9yfs5nHaYXEvuJW31Gj1NQprQKrwVrcNa0zq8NY2CG8mVdwdRbDasaWlYU1KwJKdgTUnGkpKCNSUVa2oK1vQMrBkZWDPSsRXNZ4DF4vBYND4FxbiPN1pjiU9vY8GnN1qjAU3JZUYjGqPhonmjOm8wqu0NBtDr0RROXl7qqPGF8wXfNQYDGm31v7slBLh34a0oCjfeeCO///47jzzyCO+99165t5X87FySn4UQwrmk8L5IVST2PLOVa9/9i9MpuYzsEsPM29o65TjVhU2xEZ8Zz8HUg+xP3s++lH3sT95fZlc4b503LcJa0Ca8DR0iO9Auoh0RvhEuiLpmUhQFJScHa1YWtoJC3JqZiS0zC2tmBrbMLGxZmUXLbNnZxVNuLra8PJScHGy5uSgXvfrP5fR6tAZDQeFe+OmF1lDwvXAqWl7w3ctQer3BgMbgVbCuZDuv4vWl5ovba41GtQeAwSC9AITd3LnwnjVrFitXruTs2bP079/f7Qpvyc+lSX4WQgjHkcL7IlX1g2XjsWRGfr4RgK/Hd6F/s0inHas6UhSF89nn2ZO8hz1J6rQ3eS/Z5uxL2tbxr0P7yPZ0iOhA+8j2NAlpglYjdy/dnWK1YsvNQ8nNwWYyoeTmFhfnJpNanJvyUUx52PJMBZ95KHkmbKY8lPz84vWmfBSTCSUvD5u5YHleQRurFcViQbFYwGwunre3m30VKdULwLtwvoyeAd4+aH280Ri91U9v76Iu/KU+jd5ovY2XLpf3xnscdy28t23bxs0338zWrVsZMmQI/fr1c7vCGyQ/X43kZyGEsI8U3hepyh8sL/+2l6//OUFUoJEVk68hyLfmdGmzh02xcSLjBHuS9rArcRfbE7ZzOPUwCqX/WgYYAugU2YnO0Z3pHN2Z5iHN0Wl1LopauKuigtxsVqf8guLdZMJWWNTnm9Tl+fnqxYF8c9H3onUF29qKlpdoYy5j3lzY1lx6vckErvgnVqcrvtNeqmu/sXSB7+uL1tdP/fTzQ+tX8N1P/a7z80Pj61v0qfXzU+/sy537KueOhXdmZiYdO3bk7bff5uabb6Z9+/ZXLbxNJhOmEm9yyMjIICYmRvKzG5L8LIQQVyeF90Wq8gdLbr6VoR/8TXxaLrPHdJKr6nbIys9iV9IudiTsYHvCdnYm7rzkebRAQyBdo7vSvVZ3utfuTmxArBQDwu0oigJms1qU5+Ze2gsgLw9bTq56hz83r+CzYF1uXnGbvDxsebkoeaai70peXvH+CnoGVAm9Xi3SfX2LC3Vf3zImH7S+vmrB7uuL1qfEch8f9U6/r1/xd7lLf0XuWHiPHj0af39/PvvsM4ByFd7Tpk3j5ZdfvmS55OfqQfKzEEKUJoX3Rar6B8ueM+l4e2lpHBng9GPVBBabhQMpB9h6fitbLmxh24Vtl3R/q+1Xmx61e9Cjdg+61+pOkDHIRdEK4RqKoqh32UsU4rY8E0p+YRd/U3G3/rxctbDPzS1+Xj8np+z5gmf5y/u+eXtpDIaCQt1HLdL9CkbP9/dHG+BfPNJ+YABa/wB1WYA6rwssWOfv77HvsHe3wvvXX3/lnnvuYeHChfj6+gIwfvx4OnTowKOPPkrv3r3L3M6Vd7xB8rOjSX4WQtR0UnhfxN1+sIjKsdgs7Enaw6Zzm9h4biM7EndgsRWPyq3VaGkd3pq+dfrSL6YfTUOaytV2ISpJsVjUgrxwys7Gln3R99zieSU3t3h94V3+nJyigfgKt3P0c/kab2+1KPfzL3glnj/agvkyX4vnX3K+YPL1RaNzr66y7pbHfvrpJ2bNmlVq2Y4dOwgKCqJBgwb89ddf6MrxZ+hu5yUqR/KzEKKmkcL7Iq5M7P+eSuX9VYf5dHRHfA3SldIZcsw5bL2wlQ1nN7D+7HqOpR8rtb6Ofx36xfRjYOxAOkZ2lGfPhHAThXfp1WI9Rx2ULzcXW04utpxsbFlZxaPpZ2VizcgsGGG/YAT+rCxsmZlYs7JQcnIcGlvhs+3awnfW+/urBbqfn1rIF92J90cbGIguKBhdcDC64CB0QUFo/f0dWlBUhwK1PF3NLyb52bNJfhZCeDopvC/iqsSeb7HR/+01nEnL5Zb2tXn3zvZyZbcKnM8+z7oz6/jr9F9sOLcBk7W4W2OIMYR+Mf0YEDuA7rW64633dmGkQghHUcxmbNnZajFeoiAvKt6zsguWFc/bsrLUNtnZRfOYzY4JSKdDFxRErddmENCvX6V3J4W3Y0l+dg3Jz0IIT+OUwrtx48YVCuLIkSMVau9MrvzBsulYMqO+3ITVpjDtxpaM69WgSo9f0+VactlwdgOrT61mTfwa0k3pRet89D70qt2LwfUHc03MNfjofVwYqRDCHdjy89XCvWRBnp1d6h321qxMdb7wTnx6Btb0dKxpaVjT00sNdBfz1Zf49+pV6biqQ+Fd8hnv8pL8XHNJfhZCeAKnFN4ajYZPP/20XAE8+OCDuNONdFf/YPl87VFeW3YArQY+G92J61pFV3kMAsw2M9subGP1qdXEnY7jfPb5onU+eh8Gxg5kWMNhdK/VXbq7CSHsZsvLU4vxtDS86tRB5+9X6X26Oo85i6vPS/Kze5D8LISorpxWeJe3mK5I26rg6sSuKArPLt7N/M2n8fbSMu/+7nSMDanyOEQxRVHYn7KfVSdXsez4Ms5knSlaF+UbxU2NbuLmxjdTL7CeC6MUQgiVq/OYs7j6vCQ/ux/Jz0KI6sQphXdWVhb+/v7lCqAibauCqxM7gMVq4/5vthJ3MJFQPwM//6cXsWG+LolFlKYoCruSdrHk6BJ+P/F7qe5u7SPac1PjmxhcfzCBBs/5sSuEqF7cIY85gzucl+Rn9yX5WQjh7mRwtYu4Q2IHyDZZuOuLjdQK8ub9kR3w9pLuUu4m35pP3Ok4fj7yM+vPrsemqK86MmgNDIwdyC2Nb6FbrW7S1U0IUaXcJY85mrucl+Rn9yf5WQjhjpxWeF+4cIEPP/yQ6dOnl7n++eef55FHHiEqKqpiETuZuyR2gPQcM/7eenRaGT3V3SXmJLL02FJ+OfoLR9KKBwuM8o1iRNMRjGw+kiBjkAsjFELUFO6UxxzJnc5L8nP1IflZCOEunFZ4P/XUU9SuXZspU6aUuf7dd9/l3LlzvPnmmxWL2MncKbGXpCgKb684yK0d69Iown265ovSCp83+/nIzyw9tpSM/AxAHfDltia3MablGGr713ZxlEIIT+aueayy3PW8JD9XD5KfhRCu5rTCu2XLlixevJhmzZqVuf7AgQPcdttt7N27t2IRO5m7JvZP1xzljeUHCPc3MHtMJzrVC3V1SOIqTFYTK0+u5H97/sfB1IMA6DQ6BsQOYEzLMbSPkHfBCiEcz13zWGW563lJfq5+JD8LIVzBaYW3j48PaWlpGI3GMtfn5eURGhpKTk5OxSJ2MndN7MlZJsZ8tZl95zLw0ml49ebWjOwa6+qwRDkoisKGsxuYs3cOm85tKlreKqwVo1qMYkj9IRh0BhdGKITwJO6axyrLXc9L8nP1JflZCFGVnFZ4h4aGsmvXLurWrVvm+tOnT9OhQweSkpIqFrGTuWtiB3VAlyd/2Mnve9R3Vo7uHssLw1pi1MvgINXFodRDfLf/O5YcXUK+LR+AUO9Qbm96O6OajyLMJ8zFEQohqjt3zmOV4c7nJfm5+pP8LIRwNqcV3jfccAO9evXiueeeK3P99OnT2bBhA0uXLq1YxE7mzokd1KuzH8cd4Z2Vh1AUaBYVwHsj29OilvvFKi4vJS+Fnw7/xIIDC7iQcwFQnzO7q/ldjG81nmDvYNcGKISottw9j9nL3c9L8rNnkPwshHAWpxXef/75J9dffz1Tp05lypQpBAcHA5CWlsa7777LzJkz+eOPP+jXr19l4nc4d0/shVYfuMBTP+wiI8/Mrw/3lsReTVlsFlafWs3Xe75mT/IeAPy8/Lin5T2MbTUWPy8/F0cohKhuqkseq6jqcl6Snz2D5GchhKM59T3en3zyCVOmTCE/P5+oqCgURSEhIQGDwcAHH3zApEmTKhW8M1SXxA7qc2VbTqQypHV00bLtp1JpHxMsg4JUM4qi8Ff8X3y842MOpBwA1C5uE9tO5I6md+Cl83JxhEKI6qI65bGKqE7nJfnZc0h+FkI4ilMLb1Cf5V60aBGHDh1Co9HQpEkTRowYcdlnv12tOiX2i+05k86wD9fRLiaYJ65tSp8m4ZLgqxmbYmPVyVV8sP0DTmacBKCOfx0mtZ3EsEbD8NJKghdCXFl1zmNXUp3PS/Jz9Sf5WQhRWU4vvKub6pzYf9lxhqk/7SYn3wpAw3A/RnWLZUSnGIJ8JSFUJ2abmcWHF/Ppzk9JylUHIIwJiGFi24kMazgMvVbv4giFEO6qOuexK6nO5yX52XNIfhZC2MuphfehQ4dQFOWy7/J2R9U5sQMkZpr4OO4IP2w9TXZBgjfotfRrGsGbt7cl2Fdei1Gd5JhzWHhwIV/v/ZqUvBQAGgc3ZkqnKfSp00fumAghLlHd89jlVPfzkvzsWSQ/CyEqymmF9zvvvMM333yDRqNhzJgxPPHEE5UOtipU98ReKMtk4eftZ5i78SQHzmcSFWhkwzMD0WrVRPDPkSTqhflSN8TXxZGK8sgx57Dg4AK+2v0VGfkZAHSr1Y2nOj9Fs9Dqc2FLCOF8npLHLuYp5yX52bNIfhZClJfTCu/w8HD27t0LQKtWrdzufd2X4ymJvZCiKBw4n8m59FwGNI8CwGpT6DJjFSnZ+dQP86VL/VC6NAilS/1Q6of5ylVaN5ZuSufL3V/y3f7vMNvM6DQ6RrUYxUPtH5IRVoUQgOflsUKedl6Snz2L5GchxNU4rfCOjY1l5cqV2Gw2rrvuOk6fPl3pYKuCpyX2siRmmnjou3/ZdioVq630f9JgXy9GdY3lv0OaFy1TFEWSvZuJz4xn1rZZrDy5EoBI30ie7vI019a7Vv5bCVHDeWoe89TzKknyc/Un+VkIcTlOK7wXL17M5MmTURSFWbNmcfvtt1c62KpQExJ7ofRcM9tOprDlRCpbjqew60w6+RYb/+nXqCixJ2aaGPDOGppFBdA0OoBmUQE0ifKnYbg/UYFGSSIutu7MOmZsnEF8VjwAver04rmuzxETGOPiyIQQruKpecxTz6sskp+rP8nPQoiLOXVwNavViqIo6PXVZ4THmpTYL5ZvsbH/XAYhvgZiw9Rny9YeSuSeOZvLbO9r0PHEdc2Y0LsBAJl5ZnacTiMmxJfawT4Y9Noqi70my7Pk8eXuL5mzZw5mmxmD1sB9be/j3tb3YtQZXR2eEKKKeWoe89TzKg/Jz9WT5GchREnyOrGL1OTEXhaz1caRhCwOXcjk4PlMDl3I5GhiNqdScrDaFF6/tQ13dY0FYNOxZO78fCMAWg1EB3pTJ8SH2sHqdF3LKDrEhgDqc2waKBpMRlTeifQTzNg0g43n1P8Gdf3r8kzXZ7gm5hoXRyaEqEqemsc89bzsJfm5+pD8LISAiuWxct+2HjZsGEuWLHF4W1H1vHRaWtQKpEWt0n85zFYbp1JyCCnx+hOzVaFJpD+nU3PIM9s4m57H2fQ8IBWAmBDfosS++XgK98zZRGSAN9FB3kQFGokM8CYiwEhEgJGu9UOpHy6DkVRE/aD6fH7t5/xx8g/e2vIW8VnxPLz6YfrU6cOz3Z6lbkBdV4cohBDCQSQ/Vx+Sn4UQFVXuO94ajYbU1NRy7TQkJAR3upEuV9QrT1EUEjNNxKflcjYtlzOp6uftnWJoUzcIgMXb45ny/c7L7mPmrW0YWXClfv2RJB6Zv51wfzXph/sbCPc3EuZvJMzfUOpHgAw0o8ox5zB712y+2fcNFpsFfy9/Xuj+Ajc0vMHVoQkhnMxT85innldVkvzsepKfhai5nNLVvKL/sErhXfNYrDYSMk2cS8/lQoaJhIw8zmeYSMw0kZRl4j/9GtGtYRgAP28/w+Tvd1x2X2/c1oY7u6g/Av4+nMiDc/8lzN9AmJ+BWsE+xIb6EhvqS71QX1rUCiTEz3DZfXma4+nHefGfF9mRuAOAmxrdxLPdnpVXmwjhwTw1j3nqebkbyc9VQ/KzEDWPUwrvrVu3ViiIzp07V6i9M0lidz/ZJgunUnJIyipO/MlZ+SQWfJb8EXC1K/Uzhrfm7m71ADiRlM3ve87TLNqf1rWDiAz0rpLzqWoWm4XZu2bz+a7PsSk2YgJimNlnJm0j2ro6NCGEE3hqHvPU86rOJD9XjuRnIWoWGVztIpLYq7c8s5Vz6XlFPwLOpuVyKiWHUyk5nEzOYeatbYp+BCzcepr/LtpVtG10oDftYoJoWzeYdnWDaR8bjL+x+ozIfzXbLmzjmb+f4Xz2eXQaHZPaTeL+Nvej13rOOQohPDePeep51RSSny9P8rMQNYMU3heRxF5zrDucxPdbT3PwfAZHErKwXfS3++vxXejfLBKAc+m5mMw26oX5Vutn1NJN6czYOIPfT/wOQLuIdrzW+zViA2NdHJkQwlE8NY956nmJS0l+lvwshCeSwvsikthrpmyThb1nM9h5Oo2d8Wnsik/n54d6EVrwvNnbfxzko7gj1A7ypk+TCHo3CadX4/Ci9dXNkmNLmLFxBlnmLHz0Pjze6XHuaHYHWo2821WI6s5T85innpe4MsnPkp+F8BTVpvBetWoVO3bsKLUsPDyccePGlVqWk5PD0qVLuXDhAm3atOGaayr2jkRJ7KIs037dy7xNp8i32kotbx4dQM9G4Tx+XdNq1+3tbNZZXvjnBTaf3wxA91rdmd5rOlF+US6OTAhRGZ6axzz1vETlSH4WQlQX1abwfuCBB4iLi+PGG28sWlarVi2eeOKJou/nzp2jb9+++Pn50aFDB5YuXcp1113H3Llzy30cSezicnLzrWw6nsy6w0msO5LEgfOZAAT5eLH9hWvRatUubltOpFAvzJfIAPcfDMam2Jh/YD7vbXuPPGse4T7hzOo3iw6RHVwdmhDCTp6axzz1vETlSX4WQlQHVVJ4Z2ZmsmLFCo4dO8ZTTz0FwP79+2nevHm5n8d54IEHSEpKYtGiRZdtc88997Bnzx42bNiA0Whkz549tGvXjh9//JFbbrmlXMeRxC7KKynLxMZjyaTnmotGYlUUhV4zV3MuI49OsSEMaR3N4FbRxIT6ujjaKzuRfoLH/3qcw6mH0Wv0PNP1Ge5odke1fl5OiJrKU/OYp56XcDzJz0IId+T0wvvAgQNce+212Gw2zp49W/TO7rFjxzJ48GBGjRpVrv088MAD7Nq1i9GjRxMUFET37t1p1KhR0Xqr1UpQUBAzZszgscceK1p+zTXXUKdOHebNm1eu40hiF5WRmp3PuP9tYefptFLLm0cHcF3LKG5oW4vm0e759yrHnMOL61/kjxN/AHBbk9t4rttzeOm8XByZEKIiPDWPeep5iaoh+VkI4WoVyWN2jeowZcoUxowZQ3x8fKnljz76KG+//XaF9pWamsqOHTuYN28eLVu25PXXXy9ad/r0abKzs2nWrFmpbZo3b87+/fsvu0+TyURGRkapSQh7hfgZ+OWhXmyYOoCXb2pFj4Zh6LQaDpzP5IPVR/hu4ylXh3hZvl6+vNX3LaZ0moJWo+XHwz9y34r7SM5NdnVoQgghRKVIfhZCVCd23fEODg7mxIkTBAcHo9Foiu54Z2dnExoaislkKtd+du7cSdu2bYu61nz//ffcddddrF+/nu7du7N7927atm3Lhg0b6N69e9F2Tz/9ND/++CNHjhwpc7/Tpk3j5ZdfvmS5XFEXjpKWk8/qAwn8sfc89/dpSOf6oQBsO5nCy7/t49YOdbixXW3C/I0ujrTY3/F/89+1/yXLnEUtv1p8OOBDmoU2u/qGQgiX89Q7w556XsJ1JD8LIaqS0+94K4pSVFyXfB7l2LFjBAUFlXs/7dq1K7X9nXfeSVRUFH/++ScAvr7qMzoX37FOT0/Hz8/vsvudOnUq6enpRdPp06fLHZMQ5RHsa+DWjnWZPaZzUVIH+PHfM+yKT2fab/vo9tqfTPjfFn7deZbcfKsLo1X1qduH74Z+R2xALOeyzzHm9zEsP77c1WEJIYQQDiP5WQjhruwqvK+77jrefPNNoLjwTkhI4OGHH+b666+vVEB6vb6o0K5Xrx5Go5GjR4+WanP06FGaNGly2X0YjUYCAwNLTUJUhcevbcpLN7akbd0gLDaFPw8k8Oj87XSevpKnfthJeq7ZpfE1DGrIvKHz6FGrB7mWXJ5a+xRvb3kbi83i0riEEEIIZ5L8LIRwNbsK71mzZvHzzz/TpEkTbDYbffr0oWHDhpw5c4aZM2eWax9Wq5UDBw6UWrZq1Sri4+Pp27cvoBbhQ4cO5bvvvsNmU9/leOLECf766y+GDx9uT+hCOFW4v5HxvRrw68O9WfX4NTwyoDF1Q3zIzrey/mhyqfeOmi96P2lVCTIG8emgT7m39b0A/N++/+OBlQ+QlpfmkniEEEIIZ5P8LIRwNbtfJ5adnc28efPYunUrNpuNjh07MmbMGPz9/cu1vcVioWvXrjRu3JhWrVpx6tQp5s2bx9ixY/nss8+K2h09epSePXvSpk0bunbtyoIFC2jSpAnLli1Dp9OV61jyDJlwJUVR2HoyldTsfK5rFQ2oSb3/22voUj+U0d1j6Rgb4pLXiKw4sYLn/3meXEsu9QLr8fHAj6kXWK/K4xBCXJmn5jFPPS9RPUh+FkJUltNfJzZy5EgWLFhgd4CFbDYbS5YsYfv27YSEhNC7d286dux4SbvExETmz5/PhQsXaNOmDSNGjCh30Q2S2IX7WXMwgXFfbyn63jw6gLu7xXJzhzoEelftq0QOpx7m4T8f5mz2WYKMQbzX7z06R3eu0hiEEFfmqXnMU89LVF+Sn4UQFeH0wtvPz4+kpCR8fHzsDrIqSWIX7kZRFHbFpzN340l+3XkWk0Xt1ubjpeOWDnX4T79GxIT6Vlk8SblJPLr6UXYn7Uav1fNa79e4vkHlxmsQQjiOp+YxTz0vUX1JfhZCVITTRzXv168fS5YssSs4IYQ6KGG7mGDeGtGOzc8O4qUbW9I40p9cs5X5m09V+SAv4T7hfDX4K66tdy0Wm4Wn1z7N4sOLqzQGIYQQwtUkPwshnMWuO95PPPEEH3/8MSNHjqRly5YYDIZS6ydPnuyo+BxCrqiL6kBRFDYdT+GfI0k8cV3x+zs/jjtCRICRm9vXxqgv/yMW9rApNmZsnMHCQwsBeLbbs9zV/C6nHlMIcXWemsc89byEZ5H8LIS4HKd3NW/duvUV1+/Zs6eiu3QqSeyiukrMNNHrjdXkW2xEBhgZ27M+d3eLJdjXcPWN7aQoCm9ueZO5++cC8ESnJxjXepzTjieEuDpPzWOeel7C80l+FkJAFRTe1Y0kdlFdZZksfLfxJHP+Oc6FDBMA3l5abutYl/v6NKRBuJ9TjqsoCh9u/5Avdn8BwP1t7ueRDo+4ZGRXIUTl89iqVasq1H7QoEEVPoY9JD+L6krysxACpPC+hCR2Ud3lW2ws2XWWr9YdZ+/ZDAA0Gnjvzvbc3L6O04775e4vef/f9wG4o+kdPNvtWXRa53anE0JcqrJ5rKI/yqvqp4HkZ1HdSX4WomarSB7T23OA559//orrp0+fbs9uhRCXYdBrubVjXYZ3qMPGYyl88fcx1h9Nolfj8KI2eWYr3l6OTbr3tbmPIGMQr254lYWHFpKRn8FrvV/DS1e1r1QRQlReeYtpuXMmRPlJfhZClJddhfe6detKfbfZbBw7dowzZ87Qs2dPhwQmhLiURqOhR6MwejQKIzHTRLi/sWjdff+3FYNey+RBTWhbN9hhxxzRdAQBhgCm/j2V5SeWk5Gfwbv93sXXq+pepyKEqJy7777bKW2FECrJz0KIq3FYV3ObzcaUKVPw9/dnxowZjtilw0hXNuHpTiRlM3DWX1ht6v/OA5pH8tjAJrSLCXbYMdafWc/kNZPJteTSJrwNHw/8mBDvEIftXwhxeZ6axzz1vIQoJPlZCM/msme8k5KS6NKlC8ePH3fULh1CEruoCU4kZfPB6sP8vP0MBfmdfs0ieGxgEzrEOiYB70rcxUN/PkSaKY0GQQ34/NrPifaLdsi+hRCX54g89ueff9KrVy+8vb0dHJ39JD+LmkDysxCey2WF98mTJ2nbti3p6emO2qVDSGIXNcnxpGw+Wn2En3ecKbrC/vW4LvRvHumQ/R9LO8akVZM4n32ehkEN+eb6bwgyBjlk30KIsjkij2k0GoxGIz169KB///4MGDCAbt264eVl3zOheXl5fP755/zxxx9kZWXRqlUrJk+eTNOmTcu9D8nPoiaR/CyE53F64T137txLlqWmpvLll1/SsGFDFi9eXNFdOpUkdlETnUxWE/zWk6msmNIXL50WUEdgNei1ldr3uaxzjP59NAk5CXSK6sTsa2dj1BmvvqEQwi6OyGNHjhwhLi6OuLg41qxZw7lz5/D19aV3794MGDCA/v3706lTJ3S68g0CdffddxMTE8PAgQPR6/XMnj2bP/74gx07dlCvXr0qOy8hqhvJz0J4DqcX3tHRl3ZdCQkJoU+fPsyYMYOIiIiK7tKpJLGLmqzkaKr5Fhs3fPA3vRqF8digpoT6Geze76HUQ4z9fSxZ5iwG1x/Mm33fRKup3A8GIUTZnJHHDhw4UFSEr1mzhoSEBIKCgkhLSyvX9iaTCaOx+Ae92WzG19eXzz//nPHjx5drH5KfRU0m+VmI6s/prxM7cOAAwcHBZa4rb8IWQlSNkq8wiTuYwJGELI4kZPHT9jM8cE0j7u3VAB9DxV9z0jSkKe/1f48HVj3AHyf+IMIngv92+a+8ikiIaqJ58+YEBwcTEhJCUFAQCxYsICsrq9zblyy6AeLi4lAUhQ4dOjg6VCE8kuRnIWoWuy5/hYRcfiCIK60TQrjW4FbRzLuvGy1rBZKZZ+GtPw7S7+04Fmw+hcVqq/D+utXqxvRe0wGYu38un+36zNEhCyEcKDExkR9++IH//Oc/tGjRgpiYGN59912Cg4OZP38+KSkpFdrf+vXrad++PQ0bNmTkyJH88ssvtG/f/rLtTSYTGRkZpSYhhORnIWoCu7qaazQaytosLy+PkJAQcnNzHRKco0hXNiFKs9kUftl5hrf/OMSZNPX/14YRfix+sBdBvhUfaGnuvrm8seUNAJ7u8jSjW452aLxC1HSOyGOtW7fm8OHDdO7cmWuuuYZrrrmGXr164e/vb3dcmZmZHD16lKSkJL744gvWrVvHunXraNCgQZntp02bxssvv3zJcsnPQqgkPwtRvTitq/nMmTPLnAf1Pd5bt26ldevWFdmlEMIFtFoNwzvU5YY2tfh2w0k+jjtCnWAfu5I6wOiWo8k0Z/LJjk94Y8sb+Hn5MbzJcAdHLYSojGPHjhEaGkrDhg1p1KgRjRs3rlTRDRAQEFB0h3vAgAG0aNGCDz74gHfffbfM9lOnTuXxxx8v+p6RkUFMTEylYhDCk0h+FsJzVajwXrRoUZnzAF5eXtSvX585c+Y4JjIhhNMZ9Tru69OQO7vEkJFnKVqemp3Pu6sO8djAJoT5l2801AfaPkBWfhbf7PuGaRumYdQZuaHhDc4KXQhRQWlpaWzatIm4uDjmzp3Lww8/THh4OP369SuaGjVqZPf+tVotoaGhpKamXraN0Wi85NlwIcSlJD8L4Xns6mo+ZMgQli9f7ox4nEK6mgtRMc/8uIsFW04T7OvFM0Oac0fnGLTaqw/KoigKr2x8hUWHFqHT6Hij7xsMrj+4CiIWwrM5I4/l5eWxYcMG1qxZQ1xcHJs2bSIyMpLTp09fddvc3FxmzZrF448/jo+PDwALFy5k1KhRLFiwgNtvv71cMUh+FqJiJD8L4V4qksfsGlytOhXdQoiKG9E5hubRAaTlmHnmp93c+ul6dsenX3U7jUbDC91f4JbGt2BVrDy99mn+PPlnFUQshKgojUZTagKIj48v17ZGoxFFUYiNjaVp06ZERkYyefJkPvjgg3IX3UKIipP8LET1Zdcd70IJCQmcOnUKi8VSann37t0rHZgjyRV1ISrOYrXxv/UneG/VYbJMFjQauKtrLE9e1+yq7xe12qw8/8/zLDm2BL1GzyeDPqFH7R5VFLkQnscReSw/P5/NmzcTFxdHXFwcGzZsIC8vj3r16tG/f/+iqSLPXNtsNo4fP46fnx9RUVEVfl2R5GchKk7ysxDuoyJ5zK7C+8yZM4waNYq1a9eWub4StbxTSGIXwn4JGXm8tmw/P+84C8CE3g14YVjLq25nsVmY+vdUlp9YTpAxiAVDF1A3oK6zwxXCIzkij/n6+pKbm0udOnXo169fUaHdsGFDB0dbfpKfhbCf5GchXM/pXc0nT55MrVq1ip4DS0xMZOnSpTRq1IiPPvrInl0KIdxUZKA3743swPcTu9OjYRgP9W9ctM58hXeL6rV6pveeTuuw1qSb0pkcN5lci3u9alCImuTdd9/l4MGDxMfHM3fuXCZMmODSolsIUTmSn4WoXuy64x0ZGcm///5L3bp10Wg0WCwWdDodmzZtYuzYsRw4cMAZsdpNrqgL4XiKonDv/7YQEWDkuRtaXvZVJ+ezz3PnkjtJyUthaMOhvN779Qp3RxWipnNkHvv2228ZM2ZMmeumTJly2VeBOYPkZyEcT/KzEFXH6Xe8ExMTqVtX7ZISGhpKQkICAG3atOH48eP27FIIUc3sik8n7mAiC7fGM+jdv1i+51yZ7aL9onn7mrfRaXQsPbaUb/d9W8WRCiFKeuihh1iyZMklyydPnsy8efNcEJEQwpEkPwvhnuwqvEtq3749n376KVlZWcyePZvY2FhHxCWEcHPtYoJZ9EAPGkX4kZhp4oG5//LwvH9JzjJd0rZLdBee7PwkAO9se4f1Z9dXdbhCiALz5s1j1KhR/P3330XLHnvsMRYsWEBcXJwLIxNCOILkZyHck11dzW+55RZ+/vlnADZs2MDQoUNJTU3F29ubb7/91u1eJSJd2YRwnjyzlQ9XH+azv45htSmE+Rl45ebW3NAmulSXNUVReP6f5/n16K8EGgKZP3Q+sYFyoU6I8nB0Hvv222959NFHiYuLY86cOSxcuJC4uDhatGjhgGjLT/KzEM4j+VkI53P6qOYXy8rK4sCBA9SvX5/w8PDK7s7hJLEL4Xy749N58oedHLyQScNwP5ZP7otBX7pTjclq4t7l97IraRcNgxry3Q3f4W/wd1HEQlQfzshj7777LlOnTiUkJITVq1dXedENkp+FqAqSn4VwHqcX3iNHjmTBggV2B1jVJLELUTVMFisfrz5Cj0bh9GgUBoDNpqAAOq16dT0xJ5GRS0aSkJtAv7r9eK//e+i0OhdGLYT7q2wee+aZZ8pc/t1339G5c2eaNWtWtGzmzJl2x1lRkp+FqBqSn4VwDqcX3n5+fiQlJeHj42N3kFVJErsQrvPVuuP8vvscb97eloYR6tXzPUl7GPv7WPJt+YxvNZ7HOz/u4iiFcG+VzWODBg0qd9tVq1ZVeP/2kvwshOtIfhai8pxeeA8dOpRx48YxYsQIu4OsSpLYhXCNPLOV3m/EkZRlwqjX8tTgZozv1QCdVsOyY8t4+u+nAXi558vc2uRWF0crhPvy1DzmqeclhLuT/CyEYzi98H7iiSf4+OOPGTlyJC1btsRgMJRaP3ny5Iru0qkksQvhOvGpOUz9aTd/H04CoGuDUN4f2Z5aQT58suMTPt35KXqNns+v+5wu0V1cHK0Q7qmyeSw+Pr7oNaCObFtZkp+FcB3Jz0JUntML79atW19x/Z49eyq6S6eSxC6EaymKwoItp5m+ZB/Z+VaCfb1447a2XNcyiqfXPs3vJ34nyBjE/KHziQmIcXW4QridyuYxjUZDedN9RdpWluRnIVxL8rMQlVPlo5q7O0nsQriHE0nZPLpgO7vi09FrNax5qh/hAVru/eNediftpnVYa765/hu8dF6uDlUIt+KIwvv1118vV9upU6dK4S1EDSP5WQj7SOF9EUnsQriPfIuNd1YcJNjXwIP9GgFwPvs8t/92O+mmdMa0HMN/u/zXxVEK4V4qm8c6d+5cofZbt26t8DHsIflZCPch+VmIiqtIHtPbe5C4uDjmzJnDsWPH+OeffwD4+OOPGT16NEFBQfbuVgjh4Qx6LVNvKP2+4NQMX7oH/Ic/TK/z7b5v6RLVhf6x/V0UoRCep6oKaSFE9SX5WQjn0tqz0Q8//MCNN95IQEAA69evL1qek5PDW2+95bDghBCeL99iY/KCHSz6O4gg80AAnv/nec5lnXNxZEIIIUTNJflZCMeyq/CePn0633//PZ988kmp5cOHD+ebb75xSGBCiJrBS6fhgX4NCTDqiT/SHyWvLhn5GUxdNxWrzerq8IQQQogaSfKzEI5lV+F96NAhBgwYAKgDthSKiori/PnzjolMCFEjaDQahneoy/IpfenRMIrs+LtQbAa2XdjGl7v/z9XhCSGEEDWS5GchHMuuwjs8PJyjR48CpQvvNWvWUK9ePbsC+emnnxg0aBCffvrpJeu2bt3KhAkTGDZsGFOnTiU5OdmuYwgh3FedYB++u68bz13XG0vCjQB8tP1DNpze7eLIhBBCiJpL8rMQjmFX4T1u3DgmTZrEnj170Gg0JCcn891333HfffcxYcKECu/v2LFjPPbYY+zbt4+DBw+WWrd+/Xp69epFQEAAY8aMKfqenZ1tT+hCCDem1Wq4r09Dvhv5KLrcVqCx8Na/L5FvzXd1aEJ4jP79ZWAkIUTFSH4WovLsKrxfeuklWrduTbt27bBarYSHh3PPPfcwfPhwnnrqqQrty2w2c9dddzFjxgwiIyMvWf/ss88ydOhQ3nvvPe68806WLFnCmTNn+PLLL+0JXQhRDXSqF8r3t80i2BjC4bTDfLj9Q/ItNsxWm6tDE6La27ZtG1lZWa4OQwhRDUl+FsJ+dhXeer2e2bNnc+bMGZYtW8aSJUs4deoUn332GTqdrkL7evbZZ6lfvz733HPPJetyc3P5+++/ueWWW4qWBQQEMHDgQFasWGFP6EKIaqJZRG1e7jkNgP/t/R+P/jyfkZ9v5Fx6rmsDE6Kau/7665k/f76rwxBCVFOSn4Wwj93v8QaIjo7m+uuvt3v75cuXs3DhQnbs2FHm+tOnT2Oz2ahbt26p5XXr1iUuLu6y+zWZTJhMpqLvGRkZdscohHCdAbEDuKPpHSw8tJB/Mj4k68xjDP0gm3dGtKN/80t7yAghri4gIIBJkybx448/0rJlSwwGQ6n1M2fOdFFkQojqQvKzEBVn1x1vgLlz59KpUyf8/Pzw8/Ojc+fOzJs3r9zbnz9/nvHjx/N///d/hISElNkmP199bsTHx6fUcl9f36J1ZXn99dcJCgoqmmJiYsodlxDCvTzV5SmahjQFXTbhDX4kJTuP8f/bwuvL9kvXNiHscOLECQYMGIDFYmHXrl1s3bq11CSEEOUh+VmIitEoiqJUdKMZM2bw+uuv88ADD9ClSxcAtmzZwmeffcbzzz/PM888c9V9fPzxx0ydOpWuXbsWLdu0aRMhISE0bdqUFStWcO7cOerWrcuSJUsYOnRoUbsJEyawe/duNm/eXOa+y7rjHRMTQ3p6OoGBgRU9XSGEix1LP8bIJSPJteTS0vsONm3vCED7mGA+vrsjdYJ9rrIHIaq3jIwMgoKCPC6Peep5CVFTSH4WNV1F8phdhXdkZCRz5sxh2LBhpZb/9ttv3HfffVy4cOGq+4iPj+fAgQOllj3wwAO0a9eOBx98kIEDB6LRaIiMjOSRRx7hhRdeKGrXoUMHunTpwueff16ueCWxC1H9/XLkF57/53m0Gi0PNn2XT5abycizUD/Ml1WPX4NeZ3cHHiHcnqfmMU89LyFqEsnPoiarSB6z6/8Ei8VC3759L1l+zTXXYDaby7WPunXrMmjQoFKTv78/MTExDBo0qOj94GPHjuWrr74iISEBgGXLlrFjxw7Gjh1rT+hCiGrq5sY3M6zhMGyKjV/Pvs2i/3SiVe1Anh/aUpK6EBW0YMECrr32Who1alS0bPr06UW5VgghykvysxDlY9f/DT179mThwoWXLF+4cCE9e/asdFAlvfzyy7Rs2ZImTZrQsWNHbrvtNt5880169erl0OMIIdzfs92epZZfLU5nnmbekY/49eHeDGoZVbT+dEoONluFO/EIUaN88cUXPProo/Tp04djx44VLQ8NDeW1115zYWRCiOpK8rMQV2dXV/PHH3+c999/n6FDh9KlSxcURWHr1q0sXbqUxx57jNjY2KK2kydPLvd+Sz7jfbFDhw5x4cIFWrRoQXh4eIXila5sQniOLee3MOGPCSgofND/A/rH9gfUpH7zx//QrUEo79zRDl9DpV7aIIRbcWQea9GiBbNnz6Zv375oNBoKfwacOHGCHj16cO7cOUeEXC6Sn4XwHJKfRU3k9Ge8W7duXe62e/bsqejuHU4SuxCeZdbWWXy992tCvUP58aYfCfcJZ/me8zwy/1/MVoXWdQL54p7O1AqSQV2EZ3BkHvP29iY1NRUfHx+0Wi02mzr6cHp6OpGRkaUGJ3U2yc9CeBbJz6Kmcfoz3nv27Cn3JIQQjvZwh4dpGtKUlLwU3t76NgBDWkcz7/7uhPoZ2HMmg5s++odtJ1NdHKkQ7qdOnTrs3bsXoGg8FYClS5fSuHFjV4UlhPAAkp+FuDwZ8UAIUe0YdAZe6fUKGjQsPbaULee3ANClfii/PNSLplH+JGaauOvzjXy/5ZSLoxXCvTz44IOMHz+eVatWodFo2Lt3L++88w4PPvggDz30kKvDE0JUY5Kfhbg8u7qaA5w/f55t27aRmnrpFavRo0dXOjBHkq5sQnim6Run8/3B72kc3JiFNy7ES+sFQJbJwhMLd/DHXvXVhrPuaMetHeu6MlQhKsWReUxRFKZNm8bbb79NTk4OAD4+Pvz3v/9l2rRpDoi2/CQ/C+GZJD+LmsLpz3jPmzePCRMmoNFoyjzA+fPnK7pLp5LELoRnSjelc+PiG0k1pfJk5ycZ26r4NYM2m8LHcUdYuf8CCyf1wNtL58JIhagcZ+SxvLw89u/fj81mo0WLFvj6+jpkvxUh+VkIzyT5WdQUTi+869Wrx9NPP82DDz5Y6vkwdyWJXQjPtfjwYl5c/yK+el9+veVXovyiSq3Pt9gw6NWnahRFITXHTKifwRWhCmE3R+axa6+9ln79+tGvXz+6du2Kl5eXg6KsOMnPQnguyc+iJnD64GqJiYmMHTu2WhTdQgjPdnPjm2kb0ZYcSw5vbnnzkvWFSR3gvVWHuf79tew9m16VIQrhVrp168ayZcvo378/wcHBXHvttcyYMYN//vkHs9ns6vCEEB5C8rMQpdlVePfq1Yt169Y5OhYhhKgwrUbL892eR6fRseLkCv46/VeZ7fLMVn7fc44LGSbunL2RDUeTqzhSIdzD9OnT+eeff0hLS+Pnn3+ma9euLFu2jGuuuYbg4GBXhyeE8BCSn4Uoza7C++OPP2bSpEk8+eSTfPrpp3z22WelJiGEqEotwlpwT8t7AHh146tkm7MvaePtpeOHB3rStUEoWSYLY+dsZvmec1UdqhBuIz09naSkJBITE0lISECv19O5c2dXhyWE8CCSn4UoZtcz3q+++iovvvgiYWFhZV4dP3LkiCNicxh5hkwIz5dryeXWX24lPiueu5rfxbPdni2zXZ7ZyqPzt7Ni3wW0Gnj1ltbc3a1eFUcrRMU4Mo898MADrFmzhpMnT9K1a9ei57179OiBt7e3gyIuH8nPQng+yc/Ckzl9cLXw8HDeeecdxo4de/XGbkASuxA1w4azG5i4ciIaNHxz/Te0j2xfZjuL1cYLv+xh/ubTAEwe1ITJg5pWYaRCVIwj85hGoyE8PJyHH36Y66+/nk6dOqHTuWZUYcnPQtQMkp+Fp3L64GpWq5Xbb7/druCEEMJZetTuwU2NbkJB4eUNL5NvzS+znV6n5bXhbXh0YBMA6oZU/WuUhHCVw4cP89prr3Ho0CFuvfVWQkNDGTp0KG+//Tbbtm1zdXhCCA8k+VkIO+94X3fddTz88MPcdNNNzojJ4eSKuhA1R1peGjf/cjMpeSk80O4BHmr/0BXb7z2bTqvaQVUUnRD2cWYe27dvH2+++SZz587FarVix88Cu0l+FqLmkPwsPFFF8pjengM0btyYu+66i3HjxtG4ceNLXis2efJke3YrhBCVFuwdzLPdnuXJv57ky11fMjB2IM1Dm1+2fcmknphp4oWf9/DKza2IDKzaZ12FqCoWi4WtW7cSFxfHmjVrWLduHfn5+XTq1Il+/fq5OjwhhIeS/CxqOrvueLdu3fqK6/fs2WN3QM4gV9SFqHkeX/M4K0+upEVoC74b+h1eWq+rbjP+683EHUykbogP/3dvVxpF+FdBpEJcnSPzWEBAAHl5eXTs2LFoYLU+ffrg71/1f98lPwtR80h+Fp7E6YOrVTeS2IWoeZJyk7jll1tIN6XzaIdHub/t/Vfd5mRyNmPnbOZEcg4hvl58Pb4r7WOCnR+sEFfhyDy2fPlyevfu7ZJC+2KSn4WoeSQ/C0/i9MHVhBDC3YX7hPN0l6cB+HTnpxxPP37VbeqF+bHowZ60qxtEao6ZMV9u4t9Tqc4OVYgqNWTIELcouoUQNZPkZ1FT2V14x8XFMWbMGHr16lW07OOPPyY9Pd0hgQkhRGUNaziM3nV6Y7aZ+XD7h+XaJtzfyLz7u9O1QSiZJgv3fLWZbScluQvPcvz4cSZPnszgwYO57rrrmDx5MsePX/3HrxBCOILkZ1ET2VV4//DDD9x4440EBASwfv36ouU5OTm89dZbDgtOCCEqQ6PR8ESnJ9CgYeXJlexN2luu7fyMev43vgvdG4aSZbLw/M97sNk8/qkcUUOsXr2aFi1a8Ndff9GgQQMaNWrEX3/9RYsWLVi9erWrwxNC1ACSn0VNZNcz3u3ateO1115j6NChaDSaolePHDlyhAEDBnDq1CmHB1oZ8gyZEDXbc+ue49ejv9KjVg8+v+7zcm+Xk2/hhZ/38vh1TakT7OPECIW4MkfmsS5dujB06FCmTZtWavm0adNYunQpW7ZsKfe+Tp06xaZNm9Dr9XTt2pU6depUKBbJz0LUbJKfRXXn9MHVfHx8SElJwcfHB61Wi81mAyAzM5OwsDDy8/Pti9xJJLELUbPFZ8Zz4883YrFZ+Oq6r+haq6vd+0rOMhHmb3RgdEJcnSPzmNFo5MKFCwQHB5danpqaSnR0NCaT6ar7UBSFUaNGsWnTJjp37kxOTg6rV6/mtddeq9ArRSU/C1GzSX4W1Z3TB1cLDw/n6NGjAKXe4b1mzRrq1atnzy6FEMJp6gbU5fYmtwPw/r/vY+/LHJbvOUfvN+JYue+CI8MTokqFhIRw6NChS5YfPHiQ0NDQcu1DURRuvvlmjhw5wsKFC1myZAmzZ8/miSeeKPp9IIQQVyP5WdQkdhXe48aNY9KkSezZsweNRkNycjLfffcd9913HxMmTHB0jEIIUWmT2k3CR+/DrqRdxJ2Os2sfy3afJ9ds5cG52/h5+xkHRyhE1Rg9ejR33HEHc+fO5dChQxw6dIhvv/2WO+64g9GjR5drH1qtlpEjR6LVFv+MGDx4MDabjYMHDzordCGEB5L8LGoKvT0bvfTSSyQkJNCuXTtsNhvh4eFotVruv/9+nnrqKUfHKIQQlRbuE87dLe7my91f8v6/79O3bl/02or9EzjrjnbotBoWbz/D5O93kJ5rZmzP+s4JWAgnee2119Bqtdx3331F3cqNRiOPPvoo06dPt3u/S5YsQafT0bZt28u2MZlMpbqyZ2Rk2H08IYRnkPwsagq7nvFOS0sjODiY8+fPs337dmw2G+3bt6dOnTpF69yJPEMmhADIyM9g6E9DSTOl8Xy357mz+Z0V3ofNpvDKkn38b/0JAKYMasqjAxuXeuxGCEdzVB47efIkq1evRlEUevXqhcViQaPR0LBhQ7y9ve3e7/79++nRowcTJ07kzTffvGy7adOm8fLLL1+yXPKzEDWb5GdRXTl9cLWSI5lXZJ2rSOEthCg0b/88Xt/8OqHeoSwdvhR/g3+F96EoCu//eZj3Vh0G4NEBjXn8umaODlWIIo7IY2vXruWGG24gOzsbAD8/P5YtW0bfvn0rFduxY8e45ppr6NOnD3Pnzi3V/fxiZd3xjomJkfwshJD8LKolpw+udjl5eXmVumIuhBDONqLZCOoH1iclL4Uvd39p1z40Gg2TBzXlhWEtAUjINLndBUchLvbCCy8wYsQIUlJSSElJ4bbbbuOFF16o1D6PHz9Ov3796NmzJ99+++0Vi25Qu7QHBgaWmoQQAiQ/C89XoTveM2fOBGDq1Km8/vrrpdbZbDa2bt3K6dOnK/QO0Kogd7yFECXFnYrj0bhHMWgN/Db8N2r717Z7X/8cSaJnozDpyiacyhF5LCQkhMOHDxMeHg5AQkICzZs3JyUlxa79nThxgmuuuYbu3bvz3XffoddXfNgYyc9CiJIkP4vqpiJ5rEJZctGiRWXOA3h5eVG/fn3mzJlTkV0KIUSV6xfTjy7RXdhyfgvv//s+b/R9w+599WocXjRvttrYFZ9Op3ohjghTCIdKS0srKroBIiMjSU1NtWtfeXl59O/fn7y8PPr27cuXXxbfnerXrx/NmzevdLxCiJpH8rPwZBUqvLdu3QrAkCFDWL58uVMCEkIIZ9NoNDzZ+UlGLhnJsuPLuKPZHXSK6lSpfZosVh6et524AwnMHtOJgS2iHBStEI6zZs2aqy7r16/fVfdjtVoZPHgwALt37y61rk2bNvaGJ4So4SQ/C09m1+Bq1Y10ZRNClGXa+mn8ePhHmoQ0YeGwhRV+fUlJVpvC4wt38MuOsxj0WuaM7ULvJuFX31CIcnBEHitvd8uq/Fkg+VkIURbJz6K6cNngakIIUZ081vExgoxBHE49zPcHv6/UvnRaDe+MaMfgVlHkW2zc/81Wtpyw79lZIZzh+PHj5ZqEEMLVJD8LTySFtxCixgrxDuHRDo8C8NH2j0jKTarU/vQ6LR/c1YG+TSPINVsZ//UW/j1l3zO0Qjha/fr1yzUJIYSrSX4WnsiuwjstLc2udUII4W5ua3IbLcNakmXO4t1t71Z6f0a9jtmjO9G9YShZJgv3fLVZkrsQQghRQZKfhaexq/AOCbn8iIBXWieEEO5Gp9XxXLfnAPj16K/sSdpT6X36GHTMGdeFbg1CsdoUTGZbpfcphBBC1CSSn4WncWhX87y8PLy9vR25SyGEcLq2EW0Z1nAYALN3znbIPn0Ner4e34UFE7vTo1GYQ/YphBBC1CSSn4UnqdAQgTNnzixzHsBms7F161Zat27tmMiEEKIKTWo7iWXHl7Emfg37kvfRMqxlpffpa9DTLia46PuxxCx0Wg31wvwqvW8hhBCiJpD8LDxFhQrvRYsWlTkP4OXlRf369ZkzZ45jIhNCiCpUP6g+1ze4nqXHljJ752zeH/C+Q/e/92w6Y77ajL9Rz6IHexAZIL2DhBBCiKuR/Cw8RYUK761btwIwZMgQli9f7pSAhBDCVSa2mciyY8tYfXo1B1MO0iy0mcP2HeFvxM+o41RKDuPmbGHBpO4Eens5bP9CCCGEp5L8LDyBXc94O6roPnz4MPfccw9RUVH4+fnRtWtXfvvtt0vavfXWW9SpUwcvLy86dOjAX3/95ZDjCyFESQ2DGzKk/hAAZu9yzLNkhSIDvfn23m6E+xvYdy6DB+duI98ig7oIIYQQVyP5WXgCuwdXi4uLY8yYMfTq1ato2ccff0x6enq59/HJJ59w0003sX//fs6fP89tt93G8OHD2bFjR1Gbzz//nJdffpmvvvqKpKQkbrjhBm644QZOnDhhb+hCCHFZE9tORIOGlSdXcij1kEP3XT/cj6/HdcXXoOOfI8k889MuFEVx6DGEEEIITyT5WVR3dhXeP/zwAzfeeCMBAQGsX7++aHlOTg5vvfVWuffz7rvvcvvttxMaGkpAQABPPfUUGo2Gbdu2FbV55513mDBhAkOGDCEoKIjp06cTGhrKZ599Zk/oQghxRY1DGnNtvWsB+HzX5w7ff5u6QXx8d0d0Wg0//XuGd1c69seDEEII4YkkP4vqzq7Ce/r06Xz//fd88sknpZYPHz6cb775pkL7UhQFi8VCSkoKb7zxBoGBgVx7rfo/VUpKCocOHeKaa64paq/RaOjXr1+pgl8IIRxpYtuJAKw4sYJjacccvv/+zSKZcYv6Boi/jyRhslgdfgwhhBDC00h+FtWZXYX3oUOHGDBgAKAWwoWioqI4f/58hfa1cuVKvL29CQsL480332TevHnExsYCFO0rIiKi1DaRkZFcuHDhsvs0mUxkZGSUmoQQoryahTZjQMwAFBQ+3+34q+oAI7vG8sFdHZh3X3eMep1TjiGEEEJ4EsnPojqzq/AODw/n6NGjQOnCe82aNdSrV69C+7ruuuuwWCykpqbyzDPPcNNNN7Fhw4YrbmOz2Uod92Kvv/46QUFBRVNMTEyFYhJCiInt1Kvqvx//nZMZJ51yjJva1cbHUJzUL2TkOeU4QgghhKeQ/CyqK7sK73HjxjFp0iT27NmDRqMhOTmZ7777jvvuu48JEybYFUhwcDBPP/00bdu25euvvwagVq1aACQkJJRqm5iYSHR09GX3NXXqVNLT04um06dP2xWTEKLmahXWij51+mBTbHy5+0unHktRFGatOMigd/5iz5nyD1AphBBC1DSSn0V1ZVfh/dJLL9G6dWvatWuH1WolPDyce+65h+HDh/PUU09VKiCTyYRWq4YVEhJCixYtiIuLK1qvKApxcXH07NnzsvswGo0EBgaWmoQQoqImtZsEwJKjS4jPjHfaccxWhU3HU8g0WRj39WZOJmc77VhCCCFEdSf5WVRHdhXeer2e2bNnc+bMGZYtW8aSJUs4deoUn332GTpd+Z6FyM7OZvjw4WzcuJGMjAxOnTrFf//7X/bv388999xT1O6pp55izpw5/PLLLyQkJPDkk0+SkZHBgw8+aE/oQghRbu0i2tGjVg8sisWpV9UNei1fjO1My1qBJGXlM3bOZpKyTE47nhBCCFGdSX4W1ZHd7/EGiI6O5vrrr2fo0KHUqVOnQtv6+fkxadIknn32WerVq0fPnj3Zv38/f/31V6m72ePHj2fmzJlMmTKFBg0a8M8//7BixQp5blsIUSUeaPcAAD8f+dlpz5IBBHp78b/xXagb4sOJ5BzGf72FbJPFaccTQgghqjPJz6K60SjlfDv89OnTy73T559/3u6AnCEjI4OgoCDS09Ol27kQosL+s+o//H3mb4bUH8Jb17zl1GMdS8zi9s82kJKdT58m4Xw1tgsGfaWukQoP4Kl5zFPPSwhRNSQ/C1erSB4rd+HdvXv3cgewcePGcretCpLYhRCVcTDlICN+G4GCwvfDvqdlWEunHm/H6TTu+nwjuWYrs8d0YnCryw8mKWoGT81jnnpeQoiqIflZuJpTCu+S0tLSCA4OrvA6V5HELoSorGf+foalx5bSs3ZPZl872+nHW33gAlkmKze1q+30Ywn356l5zFPPSwhRdSQ/C1eqSB6zq39ESEiIXeuEEKK6eqj9Q+i1etafXc+mc5ucfrwBzaMkqQshhBBXIflZVBcOfTAhLy8Pb29vR+5SCCHcQkxADCOajgDg/X/fx47OQnZLyMjjvv/bQnxqTpUdUwghhKgOJD+L6kJfkcYzZ84scx7AZrOxdetWWrdu7ZjIhBDCzUxsO5Gfj/zM7qTdLDu+jKENh1bJcaf+tJs/DyQQn5rLogd74m+s0D/dQgghhEeT/Cyqgwrd8V60aBGLFi0qNV84/fbbbxiNRubMmeOUQIUQwtXCfcK5v839AMzaNoscc9Vc4X7lltaE+xs5cD6TR+dvx2qruqv5QgghhLuT/CyqgwoV3lu3bmXr1q0MHjy4aL5w2rBhA/Pnz6dNmzbOilUIIVzunlb3UMe/Dgk5CXy156sqOWadYB++HNsZo17L6gMJTF+6r0qOK4QQQlQXkp+Fu7PrGe/ly5c7Og4hhKgWjDojT3V+CoD/7fkf8ZnxVXLc9jHBvHtnewC+/ucE3244USXHFUIIIaoDyc/C3dn1IMLzzz9/xfXTp0+3KxghhKgOBsQOoFt0Nzad38SsbbOY1W9WlRz3hja1eGpwM9764yAv/bqXOiE+DGgeVSXHFkIIIdyd5GfhzuwqvNetW1fqu81m49ixY5w5c4aePXs6JDAhhHBXGo2G/3b9LyN+G8HKkyvZdG4T3Wp1q5Jj/6dfI04l57DtVCrNouW9x0IIIUQhyc/CnWkUB425b7PZmDJlCv7+/syYMcMRu3SYirzYXAghymvGxhksOLiARkGN+OGmH/DSelXJcS1WG9n5VoJ8quZ4wvU8NY956nkJIVxL8rOoKhXJYw57j7dWq+WFF15g3rx5jtqlEEK4tYc7PEyIMYSj6UeZt7/q/u3T67Slkvqf+y9wISOvyo4vhBBCuDPJz8IdOazwBsjOziYlJcWRuxRCCLcVZAxicqfJAHy681MScxKrPIbF2+O575utjP5yE6nZ+VV+fCGEEMLdSH4W7siuwnvu3LmXTB9++CE33XQTAwYMcHSMQgjhtm5pfAttwtuQbc5m1raqGcSlpM71QokK8OZwQhZjv95MZp65ymMQQggh3I3kZ+Fu7HrGOzo6+pJlISEh9OnThxkzZhAREeGQ4BxFniETQjjT3qS93LX0LhQU/jfkf3SK6lSlxz+SkMmIzzaQmmOme8NQ/je+K95euiqNQTiXp+YxTz0vIYR7kPwsnM3pz3ifP3/+kmn//v18/vnnbld0CyGEs7UKb8VtTW8D4L1t71X58RtHBvDNvd3wN+rZeCyFR+dvx2pzyLiZQgghRLUl+Vm4E7uf8bZarZw7d46zZ89itVodGZMQQlQ7/2n3HwxaAzsSd/DvhX+r/Pht6gbx1djOGPRaVuy7wLRf9+Kgl1YIIYQQ1ZbkZ+EuKvwe75SUFKZOncqCBQvIyMgAICgoiDvvvJPXX3+d0NBQhwcphBDuLsI3gpsa38SiQ4v4as9XdIzqWOUxdGsYxnt3tuehef+i12lQFNBoqjwMIVwi448V5G/5A7ITANDotAR0aoghMhg0WtDqodM48PJRNzi9GZKPglZXsF4HGp3aTquDBn2L26aehOxEdblWD1ov9VNXMO8fCbqCkYxtVkADWoeOXyuEsJPkZ+EuKvSMd0pKCt27dyc1NZUJEybQrFkzAA4ePMhXX31FSEgIGzdudLviW54hE0JUhVMZp7jx5xuxKTZ+vOlHmoY0dUkce86k06p2IBrJ6h7DU/OYI8/r9MMPk7Xqz1LLtF426vRKxT/apC54+gT4hKjzvz4K//7f5Xc4ZR8E1VHnlz8LGz++fNuHtkBEwf/vq6fD2rfUYl5nUCetvnh+1PcQ1VJtu/N7+Pcb0BuK1+uNBZM3dP8PhDVS257bCSfXF68r9emj7rPw3PJzwJJXsN5bLgKIGk/ys3CWiuSxCt3xfvnll6lVqxbbtm0jICCg1LrnnnuOoUOH8sorr/Dee+9VOGghhKjuYgNjGRQ7iBUnV/D1nq95vc/rLomjdZ2gonmz1UZ8ai4Nwv1cEosQVcWvRw90lkTITgIg70wmprOZnF4bRtQNDQnpFoVGZyzeILIFNBoIilW9S63YwGZR520WtaAt5BMMwbFgs4HNDFZzQbuCeV2Jn1PWgpGLFZta/FoufodvifsdaSfh5LrLn1TbO4sL7xPr4I9nL9929E/QeKA6v3sh/PZY8TqdEby81QLdyweGzYJGBW+hOfEPbJ4NXr7quqLPgvnG10J4Y7VtdjIkHy5Y5wcG3+J5veHysQnhYpKfhTuo0B3vevXq8csvv9C+ffsy12/fvp3hw4dz4sQJB4XnGJ56p0AI4X72Ju9l5JKR6DQ6lt66lDr+dVwWS1pOPg/O/ZfDCVn8+nAvagf7uCwWUTmemseceV62/HzOv/gS6T//DEDAkCGEjr0Hn/btnXu3yZyrTtb8gqmgOLeawGpRC36Dr9o24QAk7AVLfnF7i0lta8mHTmMhsLba9tAfsOt7db3FVFzUW/LAnAfDZ0PdghGbN82G3/97+RjvXgRNrlXn//0Wfn348m1H/A9aDVfn9y6GH8aV3U6rh5s+gvZ3qd9Pb4aVL6rFu8EXDP4F837q1HQw1O6gts1JgXM71DaF670KP32kT65wCMnPwhmcdsf77NmztGrV6rLrW7VqxdmzZyuySyGE8CitwlrRvVZ3Np7byDd7v2Fqt6kui8VLpyU1J5+kLBMTv93KD5N64mOQ15iImkFrMFDr9dcwNmlCwttvk7l8OZnLl2No3IigYcMwxMaij4pSp8hItAYH3bEtvFtcHpHN1ak8mg5Wp/LoNgk6TwBLrlqUX/wZUaKbbUxXuOFtyM8uKOJzCrqqF1xACI4tbqszQkiDgosLOeo2SsEAuzZL8XPuAJnn4NSGy8cYEF1ceJ/bAd8Ov0xDDQx5Hbo/qH69sA+WPl6iSC9RrBv8oGE/qNtZbWvKgvO7SrQraOvlK93vayDJz8LVKlR4h4aGcvLkSRo3blzm+pMnTxIWFuaQwIQQorqa0GYCG89t5MfDP3J/2/sJ9wl3SRx+Rj1f3NOZmz/+hz1nMnhq0U4+vKuDPFsmagyNRkPYhHvx7dKZ1HnzyVi+nPwjR0l87/1L2upCQ9FHReEVGYm+cIpSP70KinNdSAia6lKw6fSgCwBjwJXbRTRTp/JofoM6lWTJB3O2Wqx7F3ejpW4XuOMbtTjPzy4u1AuniBYlYjVCVGswZRYX/ubsgpVK6W7/2QlXLuh1huLCO+kgfH192e28/KDvk9DncfV72mlYMrmMYr6gYK/buXi/FhMkHrj0Dn11+btRg0l+Fq5Uoa7mY8aMwWw2M3/+/Ev+YiiKwl133YXBYOCbb75xeKCV4ald9IQQ7klRFEb/PppdibsY03IM/+1yhS6fVWDTsWTu/nITFpvCowMa8/h15fyRLdyGp+axqj4va2YmGUuXkrN5C+aEC1guJGC5cAElP798O9Dr0YeHq0V5RAT6iBLz4eHoIyLVZWFhaPQVfnGMKMlmKy7WDb7FFxCyEuDkPwXFeU5xsW7KgvxMaH1b8fPrZ7bBTxPVfZiy1GJesRUfY9DL0HuyOn92O3ze7/Lx9HkSBr6gzicdgY86XdrGq6BLfZcJ0O8ZdVlOivq8vTGg+G57UcHuC5GtIKZLwTlbIelw6Tv4OoN0tXcgyc/C0SqSxypUeB85coQuXbrQoEEDHn30UZo3V7tHHThwgPfff58TJ06wdetWGjVqVLkzcDBP/cEihHBf/5z5hwdWPYBRZ2T5bctddlW90PdbTvH0j7sBeOv2tozoHOPSeETFeGoec4fzUhQFa1oaloQELOfPY05IKCrILQkJmBMTsCQkYk1OhvL+ZNJo0IWEqAV5WBi68DD04eq8PiIcXViYWqiHhal30XXSxbRKKIraTT4/Sy3GvYPAt+BNPNlJcHhFQQFfsL7oMxta3lT8rHvCfrVrfGGbksU8QO/HYdBL6nzyUfjwCq+v6joRbnhLnc9KgLeblF6v0RUU6r7Q9g649hV1ucUEP95Xopj3KzHvC+HNoEGf4vM+t7N4nVfBpDfWyKJe8rNwJKc94924cWPWrl3L/fffz/jx40ut6969O2vXrnW7olsIIVyhZ+2etI1oy67EXczZM8flV9Xv7BLLyeQcPllzlNd/P8D1bWrhb5Q7ckJoNBr0ISHoQ0Kg2eXvNilmM5bkZLVAT0jAkpiIJTERc0IC1sQk9XtSEpbkZLBasaakYE1JwXT1ANQiPSwUXWiYWoyHhqILDUEfGoouJBR9aEjBslB0QUHVp7u7u9FoCgZ68710nV84tB9Vvv1EtoAnDqjzRcV8YaGeBT4lXqvrE1L8DH1+lnqnvrCgN+eoXewLWUzqtvlZ6kB7oD5Db0ovmLKK25qyYP+vl4+xzR3Fhbc1Hz6/pow/D61agLe4EYZ/Vrz8m5vV7v9FRbpPcbEe0VTtVVDo0Ar1/fZevurI+V6+6ivsvHyKLwa4GcnPwlUqdMe7pOPHj3Po0CEAmjZtSoMGDRwamCO5wxV1IUTNs/7MeiatmoRRZ+T3W38nwjfCpfHYbAozlu3njs4xNIu+ynOfwq14ah7zxPNSrFb1DnpSEpaERCzJSViTkrAkqkW5+j0ZS3Iy1tTU8t9FL6TVogsKUovwkGB0wcHoQ0LQBYegCw5GF1LwGRykfgYFqcW6dH2vXqyWgmfns4uLdZ9gCKmvrs/Phh3zSj8/X/h8fH4W1O8D3R9Q2+alw8fdi5/Ft5lLH6v17XD7VwXHNcOrV7gD3HSI+i76Qq9GqqPwl6V+Hxi3pPj7x93UGPU+JV5vV/Cu+cgWMGhacdt/3lcHAixcXzQZwTes+KICqL0K4NJ33Gv1l72jL/lZOIrT7niX1KBBA7cutoUQwtV61O5Bu4h27EzcyZw9c3i669MujUer1fDCsJallimKIoO5COFAGp1O7VIeFnbFO+hQUKSnpqpFeEoKluQUrMlJWFJSsaYkF3yqd84tKSnYMjPBZsOamqoW7RWg9fcvKsJ1wUFoC+cDg9AFBaINDEQXEFg8XzBp/f2lK7wr6PSgCyo9YF1JBj/oen/59uUdBE/sL/5uNZcYxC5HLVKLaOC2r9TlRaPXlxjlPqLEKPyKArXaFbcz55YeQb/UfoG0U2q7suRllP6+/iN1IL2yRLeFB/4u/j73Nkg9XkZDDUS2hP+sL140/y5IPUkPvRftDAZ2Wk3MWXQbTxtiwD9Kfcd9oU2z1dH5dQZ1xH6dUZ3XG9Tu/23vKG57Zps63oDOUKJ9ifmSbwew5KsXBEpcGJD8XDPU+MufVqsVs9l89YZCCAF4eXmhK+ePUI1Gw3/a/YdJqybxw6EfGN96PJG+kU6OsPw2Hktm5u8HmDOuC6F+DnqVkhCi3DQ6nfqsd3j5njFV8vOxpKVhTU3DmpqCNS1NLdxTUwvm04qWWdPTsaanY8tQCxpbVha2rCzMZ85UOE6tn59ajPv7F38GBKAN8EfnH4DW31+dDwhA6+ePLsBfXebnV/SpMRikiHAXOq/LF/U6PbS5vXz70WjgvpVlr7PZ1FfMlTRhZXFxbjEVzOepn34X/T/Q4W7ITSv9rnpLnrpdWMPSbQ3+YAhQ15e6m68UTCUkHYbkw2iA//h4Myk6kh+syYw/vIfIgIve671jnvqqu7L4hpcuvFe8oA76VxYvX3juXPH3BaPgSMGfm9ZL/e+h9VL/7LVe8MQBNh5PYebvB5hfbwk+8evUIl3npX6WnB/xf2qvAIBt/4P4LcVtiiad+tnnieKu/0dXw4W9BcW/Th2Rv2herz5+YPRX217YB2kni9sVttHq1PnoNsWPb2RegJxk9TGGwklbOK9TL27oC35v5BdcrNFoCtrpSmxXeAzPeqymRhfeWVlZxMfHY2dveyFEDaTRaKhbty7+/v7lat+jdg/aR7RnR+IOPtnxCdN6TnNugOVksdp49qfdHEvKZvzXm5l3f3f85JkyUQHp6el8++23fPbZZxw4cIA///yTa64p4zlS4TAagwGvyEi8Ist/AU+xWLBmZqoFeVoatowMtShPS8OanoE1IwNbRro6n5lZal7JzQXAlp2NLTsby1WOdUV6vVqI+/mi8/ND6+tX9F2d91ULdB8ftL6+aH180foWzvsULy/87u2D1sdb7sa7K60WtBdd0I1uXXbbspTsdn41D64rnrfZ1K7vhUX6xb/xb52t3l235tPDnEv7/bPZkR3PJ20HM63eTaXbtr0T6vVS92fNV+9UWwsmw0W/AULqQ26qekybWe1VYDWrbb18SrcteXHAZi79XaPDYlOK8vPO9O10z991+XMveTHrxDrY/cPl2/Z4uLjw3veLWqhfToM+xYX39m9h4yeXb/vQFvXZf4AtX8Daty7fduJfULu9Or/pU/jzlcu3Hf871OtZ0HY2LJ96UXFeUKBrNHDH/0HDfmrb3YvUCyFaXXFRX3K6/o3iNx9UsRr7K8tqtRIfH4+vry8RERFyFVYIcVWKopCYmEh8fDxNmjQp151vjUbDE52fYMzvY1h8ZDF3t7ibJiFNrrqds+l1Wj6/pzMjPlvPzvh0Jn67la/GdsHbS37EivJ56623SE1N5e233+b666+Xi9huSqPXFw8eV0FKfj7WjIKCPCsLW2Ym1swsbFmZWDMy1e9ZmdgKl2VlYcvKLrq7bsvOxpZT0LXYYsGWno4tPb1yBfzF52c0ovX2RuPtfYVPo1qoexvRGL3ReBvRGr3RGI1ojAa0RiMaQ8l5g7rOYEBjMKAt+Cy5TAa4c1NaLWh9Li12C9Upfg2cBngior6an9P3cXe9VyiVnXv8p/zHveUKhenFRs4vuDtvUYtzm1l9pt9mBpulVH5+JfNGrqkzlCkDGmHQWAu2saifNrN6h7xQ69vUrvU2i/pquoL9YbWog/SV/DOp01m946xYC9oWbFP43avEAIRBddU/t6L1toLPgm30JS6wePmovQEUq3rRQ1HUUf8Vq/qpLfEb4+K3AVxMU+L/scJjW61lty25r/wsyDx7+f3mX+Zxhypg9+Bq1UlZD73n5eVx/Phx6tevj4/PZf7nFEKIi+Tm5nLixAkaNGiAt7f31Tco8Piax1l5ciW96/Tm00GfOjHCitlxOo27v9hIdr6V/s0imD2mMwa9/KB0N+48CFl8fDwxMTHExcXRr1+/Cm3rzuclHEOxWrHl5BTdNbdlZZX+Xjhf9JmLLTdX/Z6bg5JTOJ9bNCm5uRUflM7R9Hq1APfyKp4MBZ96r9LLvbzQ6PUF8+oner3arnC5Xqcu0+nVeZ0ejU5XPK/XqQPkaQuX6Uq01al3/gvXabXqd40Wja6gq69Wq14s0OqKlmm0F69T7whqtBrQqXcLNVqtun+NpuC55Ivba6r9zSvJzy5SVJQrxQU/hcts4OWndr8HdRR/U4a6vFQ7Rf0eVKf4bn52MqSfLij2KV34KzaIaAF+YQ47jSoZXM1TVPd/LIQQVcvefzMe6/gYcafiWHdmHRvObqBH7R4Ojsw+7WOC+WpcF8Z9vZm4g4k8Mv9fPhrVES+dByV3IYTLaHQ6dAEB6AIcN1KzoigoeXnY8vJQcnKwFc7n5mLLM6GY8rDl5qmfeXnFbfNM2Ex5KLl5KPn52EwmlLyC+XwTiikfxWQq/T2/eCpV7FssKBbLxU8Q10wlC/LC7yUK9TKXFRX9GjQabfHykvsqVewXtNMWttWg4TJtCy8GFF0c4NJtNcXHf8CaR5tzNqyav9i5eDwR/pHq3VZdQZyF85qCixBaTcFz05qiixnqfMFnwUWPovWFF0AKjlk8f/H22lIXSxpqtfxfszzejTtKxoUDvHl6H48MaoaXl74gDjWeogstWq16IafwYklZ6y9aV+rTFX9vNIV3wK9Skhr9i7u+X41fmEMLa0eq8YW38Ay//fYbr732GqkFo7yOGDGCV1991SnHys3NZeTIkfz4449s3LiR//u//+OLL75wyrFExezbt49PPvmEjz76yNWhXKJeYD3ubH4n3+3/jne2vsP3w75Hp3WPbt3dG4bx+ZjO3Pd/W/lj7wX+b/0J7uvT8OobClFBJpMJk6n41UMZGRlXaC1E2TQajfrMt48P2NGF3h6KooDZjC3fjGIuXZAr+flqEW62lJjPRzGb1QLdbC4xFXy3WFAs6idmM4rFimK1grVgPyXnbbYS81awWNXtbVaw2tS2lsJ2hfuxqjFbrSiKDaw2sNmK2xSsw2Yr0U4peEb6Mt15L/+Ho25jtZZ5IaI6XJzoXjizfyPprgzkIn7A84VfNsDZeU482MWF+JWKdH1Bjwudtqh3BnodGm1B7wv9RcsKe24UbqvVlb0Pnba4J0fJ3h3a4nXqBRFdcZui7bXFvT8u7hGiL+htUhibXo9XVBRav6p9z7wU3jXQhg0b+OKLL5gzZ06V7ictLY3u3dV/2gIDA9m8eXOljl/SxIkT+eabb4iJiWHx4sUcPXrUYfu+2CeffELXrl3R6/VkZWVx+vRppx3ran9mGzdu5MUXXyQpKYlbb72V5557ruiOrL3rSrrlllt4/PHH6du3LwAzZ87kzz//ZOVKdTROm81Gly5d+PXXX6lTRx0N9LnnnmPw4MFF25SHzWbjiy++YN68eWg0Gu6++27uv7/0a1IK9xsWFsZDDz3EmjVrAEhKSuKuu+5i7NixjB49ml27drF7927atGlT7uNXlUltJ/HLkV84mHqQX4/+yvAmw10dUpG+TSP4dHRHft5xlnt61Hd1OMJDvf7667z88suuDkOICtNoNGAwoDMYUMshz1ZUhBcW6wXfrzhf+L1gUjsIKKWWK7biLsIlt1HnlaL2itVWatuS39V9qPtRrAXdiSkZE6XXKSWPWdA1ucQxFZuVnPxsZm//FLPFxPX1BtM6tKV6TEVdT8F26oULm7pMQb3YUHQeBXHbbOrFDluJCx9F2yvF2xT+2ZV5YaTEcaw2MrPzyMg2ER1gQGOzFV+AKWx/lU9sV3meGoov2pjN1eJiSWXV/eRjAgZU7SBrUnjXQNnZ2Zw6darK9xMQEMDPP//MqVOnuOOOO66+QTmlp6djtVq59tprAahVq5ZTC+/PPvusqPB0tiv9mWVlZTF06FBefPFFOnbsyIMPPkh0dDT33Xef3esuVrt2bVasWFFURC9evJi0tDTOnTtHrVq12LFjB+fPny8quhVF4fvvv+e5556r0HnOmTOHHTt28Oqrr5Kens7EiRMJDg5mxIgRl+x33759HDlyBIAzZ85w7bXXMmHCBEaPHg3AqFGj+OKLL/jggw8q9oddBUK8Q5jYdiKzts3ivX/fY0DsAIKMl3lHqwsMbBHFwBZRRd9tNgWroki3c+EwU6dO5fHHHy/6npGRQUxMjAsjEkKURaMpeM5bp6MmPJQZCjTsrGfWtlls8N7Gr7e85Fb5+WIVzc8lezOUKspLFvtW9fnp4s+CHhFWa1GvhlLrrAU9LwqXWSwlllsLlllRrJbSPTEKe26U2a74YkPR98LeHyWXFV54KLGu8BhF21vUgeWUwh4iVgsU9CZRrFY0RqOT/yuV/R/C46WnpyuAkp6eXrQsNzdX2bdvn5Kbm1uqbbbJfNkpN99id9vyWrFihTJ06FClZcuWSrNmzZTU1FRFURRl/vz5yoABA5RevXop77zzjmK1WhVFUZS///5bmTBhgjJ9+nSlW7duyqhRo5SkpCRFURQlMTFRGTt2rNK2bVulWbNmyksvvaQoiqLUr19f8fX1VZo1a6aMGjVK2f//7d13WBTX1wfw7wJLr1IUpStFUEERFBsgiDWWaH7YMEaNYjcaS4zdxESNJvaoJBYEu4JYUREEFSsKCiIoCILSe1vKvH/sy8SFpQos5XyeZ59kZu7cuXNn3cOZcicigjE2NmZMTEyYgQMHMocPH2bbU139FeupraioKEZJSanaMv/++y8za9YsdnrWrFnMsWPHKpUrKipiunTpwoiLizPGxsbMjh07mCNHjjAzZ85ky1TVd66urkxgYCDDMAxz6NAhZsCAAew6w4cPZ+Li4ipt7927d4yWlhY7fe3aNcbJyUlo/zQkYX3m7u7ODBo0iJ2+cOEC07dv3y9aVtGZM2fYfsnOzma6du3KrF69mvH09GQYhmF27NjBTJkyhS0fHBzMjB49mmEY/nfnu+++Y37++WfG2tqamT59OpOcnMy4uroyPXv2ZJYvX86UlZUxDMMwPB5PYLsLFixgVq9eLbTex48fM506dWKio6OZzp07M4cOHRJYNzw8nDE0NBS6Pw2hqt+O2uKV8JjRF0cz3Y52YzY/2NzArWs4ZWVlzM8XQ5mZRx8zhcX1+z0jDUdYHGsu4uPjGQDMnTt36rxuc94vQkjbQvGZ1Edd4hhdxqjAdN2NKj9zTzwVKGu5+VaVZb/9t+63UT98+BATJ06Es7Mzzpw5Ay8vLygoKMDf3x9LlizB4sWL8euvv8LNzQ379/NfW5Cbm4tjx45BTk4O+/fvR0lJCbZs2QKAf1uwlJQU3N3d4eXlhblz5wIA1q9fD3Nzc3h5eeG3336Dvr4+vLy8cPHiRWzevBl79+5FcHBwjfVXrKchTZs2DdHR0Th48CD+/vtvvHv3jr2i+Tkulwt3d3eoqKjAy8sLLi4uAsur6zs9PT1cvXoVAHDhwgWkpKTgzZs3SEpKwosXL4RehXnz5g309PQE5vn5+Qntn4qSkpJgYmIi9DNlypQ699Hbt2/Rrdt/78Q0MzNjr/TXd1lFdnZ2ePz4MQoKChAYGIj+/fvD1taWvc3b399fYBRjb29vjB07FgD/u+Pu7o4OHTpg//79iI6OhpWVFfr164cDBw7g8uXLuHz5MgD+cSyXn58PX19fODk5Ca0X4F8ls7W1xa+//lrplnR9fX1ER0ejtK7PqDURrjgXa/ryn9g6E3kGr1JfibhFwkUn5+Lskw+4FZGEGUcfI7eoIV8ARAghhDQvFJ9JYxN54p2Xl4cHDx7g8ePHyMvLq7JcWFgYbt26hcTEat7L1sJ5enpi4cKFcHFxgZmZGUxMTCAuLo5z585h4cKFGD16NJtsnD9/nl2vd+/eWLJkCXr16oU5c+YgLCwMAKCiooI3b94gLCwMSkpKaN+efwuplpYWZGVlYWJiAh0dHXA4HLi7u2PGjBlwdXVFfHw8njx5UmP9FetpSOLi4vD09MRvv/2G33//HR4eHhATMuIih8NBly5dIC4uDhMTE6irqwssr67vHBwccPv2bRQXF+P9+/f4/vvvcfv2bdy+fRuDq3jmo7i4WCBJBKrun4pUVVXh5eUl9FOfExdFRUWQlPzv3YlSUlLsoEX1XVaRuro6unTpggcPHrBJdr9+/XDv3j2UlZUhMDAQ9vb2bHkfHx+MGjWKnbayssKCBQtgaWmJyZMnw9raGi4uLujTpw/Gjh1bqa+KiorwzTffYOrUqbC1ta2yXi6XCxUVFbx6VTkocrlcMAyD4uLi6jtQhKw6WGGkwUgwYLA5eDNKy5rfSQLD9go4Mt0KcpLiuBedhimHg5GRxxN1s0gzcvz4cUhISLAnIx0cHCAhIYFNmzaJtmGEEFJPFJ9JYxLZM94Mw2DFihVwd3eHgYEB8vPzER8fj3379mHixIlsudzcXIwZMwYvXryAoaEhnj9/jp9//hlr1qyppvb6C980tMplYhUGn3q61rHWZWsjNzcXnTt3rjQ/Pz8fSkr/PWeirKwscJLi82WSkpLg8fj/+FatWgVtbW14e3tj6dKlmD9/PtatW1ep/t27d+Px48fYunUr1NTUsGXLFhQWFtZYf2MTF+eP+CwjIwN5+Vq+QqCC6vquV69eePfuHa5du4a+ffvC0dERmzZtgpKSEhwcHITW16lTJyQlJQnMq23/pKWlCVy1/ZylpSU8PDzqsmvo2LEje+UZAOLi4tCxY8cvWiaMnZ0dAgICEBAQgEWLFkFeXh5ycnK4du0a5OXl2e9sVFQUVFRUBE5+fP4+Qy6XKzBdsa8KCgowduxY9OvXD2vXrmXnC6tXRkYGfn5+sLe3B4fDERis6dOnT1BTU6vTO7ZF4cfePyIgPgCv0l7h3JtzcDZxFnWTKunXRQ2e3/fF9COP8OJDFr45+ADuM62hqSQj6qaRZsDFxQWTJ0+uNF/YSVJCCGkpKD6TxiKy6MgwDNq3b4+3b9/i/v37bEL97bff4sOHD2y5tWvXIiYmBpGRkXjw4AEuXbqEtWvX4u7du43SLllJiSo/0lzxepetDVtbWxw5cgRpaWkC8/v27QtPT0/k5eWhrKwMbm5u7EjX1REXF8e0adNw5swZXLx4kU3s5OXlkZX138sS4uLi0KdPHwwcOBAqKioIDAysVXsr1tOQGIaBi4sLli5dirFjx7K3yddVdX0nJiaGAQMGYN26dXBwcECPHj3w6tUr3Lp1q8or3j169MCnT5+Qm5tb57Y09BXv4cOH4+bNm3j79i0YhsGBAwcwevToL1omjL29PS5fvoysrCxoaWkBAAYOHIiNGzcKXO328vLCmDFj6rwfAP+k0/Dhw9G/f3+sX79eYFlV9aqrq8PPzw/nz58XWOfx48d1GlFdVNRk1LCw50IAwF/P/sKnvE8ibpFw5trKODPHBh0UpRGdnItx++7j9Sd6BRTh33EkISFR6UOJNyGkJaP4TBqLyKKjmJgYfvzxR8h99v60KVOmgMfjITQ0FAA/+XJ3d8esWbOgqsp/EfqQIUPQq1cvHD9+XCTtbkwuLi7o378/dHR0YGRkBBMTE2RmZmLGjBnQ0dGBpqYmNDQ0EBcXJ/TKdUULFiyAiYkJjIyMMGrUKPz4448AAHNzc2RnZ0NXVxdTpkzBjBkz8Pfff0NXVxd9+/aFoaFhrdpbsR6A/7zw5ydOKrKxscHQoUORk5MDExOTKhPqLVu2QFZWFosWLcLmzZsRExNTr9ef1dR3Dg4OePHiBRwcHMDhcGBhYQEpKakqb50XFxeHs7MzvLy86twWCQmJKp/xru5W/ar6rHPnzvjxxx/RvXt3qKurIzIyEsuXL/+iZcLY2toiJCQE/fv3F5j3+PHjKp/vrqu///4bQUFB8PT0ZPuk/Kp3dfVqaGjAz88P586dw4YNGwAA58+fx7Rp0+rVjqbmbOwMc3Vz5BbnYv399fxRR5shw/YKODfXBl005JGSW4SPmYU1r0QIIYS0UBSfSWPgMM3om3T+/HlMmDAB0dHR6Ny5Mz58+ABtbW1cvnwZI0eOZMvNnDkToaGhePz4sdB6ioqKBJ5ZLX9dSVZWFnura2FhIWJiYqCvr9/sbkktKChAfHw8ysrKYGhoyN5ynZWVBR6PJ3DLbV5eHjIyMtgrkQUFBUhJSYGOjg4SEhKQk5MDLpeLTp06CexnaWkp4uPjISYmBh0dHRQVFSElJQWdOnVCamoqxMXF0a5du2rrr1jPp0+fsGnTJnbALGGio6NRUvLfIBDy8vJs3RXLdezYEbKysgD4xzA9Pb3SwGblbYiJiUGXLl3YfiooKECHDh3YMsL6DuDfip6QkMCebEhNTUVhYaHQNpWLjY3F1KlTERQUVGP/NISa+iwrKwtZWVlCt1nfZRVFRUVBVVUV7dq1AwDweDy8e/cOurq6kJGRQXJyMoYMGYIXL16w61Tsm4rHJTU1FQCgpqaG9PR0JCcnC2xTWVkZYmJileotLCxEQkKCwGMZOTk5SEhIgKysLJydnXHv3r1Gu+rW0L8dMVkx+MbnGxSVFmG9zXpMMJrQAK1sHFn5xXgUm44hpu1rLkwaVHZ2NpSUlATiWGvQWveLENLyUXwmtVGXONZsEu+EhARYWVlh2LBh7JXNly9fonv37rh//z5sbGzYsitWrMDFixcRFRUltK4NGzYIPPNZrqUk3i1VZmYmJCQk6v08dkvy/v17aGlpsSdF2rr8/HxkZWVBU1NTpPVmZ2ejuLiYvUOmMTTGb8fxV8ex/cl2yErI4uKYi+goX/Uz983Ju5RceD1PxGIHQ4iLtYU3vYpOa01QW+t+EUJaB4rPpCZ1iWPN4kGslJQUODk5wdTUlH3VEwB25OX8/HyB8vn5+QKjMlf0008/sVfzsrKyEB8f3zgNJwKUlZXbRNINALq6upR0f0ZWVrbBk+761KuoqNioSXdjmdJ1Cnpq9ER+ST7W3VuHMqZM1E2qUVFJKWYdf4Ldt6Mwx/0Jvc6EEEJIq0PxmTQkkSfeqampGDx4MNq3b49Lly4JXEHS0dGBuLh4pWeG4+Pjoa+vX2WdUlJSUFRUFPgQQkhzJS4mjs39N0NaXBoPPz3EsVfHRN2kGklJiGOxgyEkJcRwKyIZ4/ffR2xq1a+EJIQQQloais+kIYk08S5PutXV1XH58mX2ed5y0tLSsLW1xYULF9h5mZmZuH37NoYNG9bUzSWEkEajq6iLFdYrAAC7n+3Gi5QXNawhemMsOuHMHBtoKEghMikHX+0Nwu2IpJpXJIQQQloIis+koYgs8ebxeBgyZAiSkpLg6uoKPz8/XL58GZcvXxa4Nfy3337DjRs3MHfuXBw/fhwjRoyAnp4eZs6cKaqmE0JIo5hgOAFD9YaihCnBioAVyCpqnNf1NSQLbWX4LBwAS10V5BSWYOaxJ9jpG4nSsmYxfAghhBDyxSg+k4YgssS7sLAQnTp1gpWVFY4fP46///6b/URERLDlrK2t8ejRI3A4HHh7e8PJyQlBQUGQkaEXxBNCWhcOh4P1NuuhJa+FxLxEbLi/odm+wuRz7RWlcfL7vvjWRhcA8DAmXcQtIoQQQhoOxWfSEJrNqOaNSdhoczSqOSGkPprit+Nl6ku4XHNBSVkJVlitgIupS6NspzF4P09AH31VdFDi9w3DMOBwaETVL9VaR/9urftFCGmdKD6TilrcqOaENBevX7/GDz/8gOnTp2P69Ok4cuRIo22LYRisXr0aJSUlCAsLw44dOxptW6RuXr9+DTc3N5Ftv5taNyyzXAYA2PFkBx4kPhBZW+pqjEUnNqgDwEafcPx+7TV4Jc1/JFhCCCGkOhSfyZegxLsNCg8Px/bt20VST1JSEtatW4d58+bh5s2b1ZZ99uwZVq5ciVWrViEkJISdn5WVxSbG5Z+EhIR67UNF48aNQ7t27WBnZwcJCQncu3evQeoV5vTp08jJyYGEhAQSEhJq7I8vkZuby/bVvHnzKi2v7rjUd9nnfvrpJ4SHh7PTZ8+exerVqwXKzJ8/H58+fWKn3d3d8fTp0zrtJ1D196ZivbGxsVi6dCk7v7S0FGvXrsWZM2dgZGSEffv24ePHj3XefkOZ0nUKRncejVKmFD8G/Ij47Jb3WsSXCVk4ej8Wfwe8xbj99xCdnCPqJhFCCCFfhOIzqS9KvNugxMRE3Lhxo8nrKS0tha2tLaKjo6Gvr49JkyZVmaxdvHgRc+fOhaqqKsTFxTFw4EDcv38fAFBQUICLFy/Czs6O/cjJyX3x/uTn5yMlJQVr167F9OnTMWDAgC+uszq7d+/GjBkzGnUb5bhcLuzs7GBqagpPT0+BZdUdl/ouqyg+Ph6XL19mpw8ePIh///0X2dnZAIDo6Gh4eHhAQ0ODLbNt2zbo6OjUaT+r+95UrDc1NRVnzpwBABQVFWHChAmIiorCuHHjICYmhm+++QaHDx+u0/YbEofDwTqbdeih1gPZvGwsurMIecUt63Ug3Top4e+pvaAsy8WrxGyM3B2Eo/diUEYDuxBCCGmhKD6T+pIQdQOaHV41/3A44gBXupZlxQBu3QeAS0hIwJEjRxATE4PS0lLs3bsX8vLyiIiIwIkTJ1BUVISxY8eySWFYWBh8fX3Ro0cPXLlyBZ07d8bcuXMhISGB4uJi/PPPPwgJCUFRURHs7e3x7bffYseOHQgPD8f06dNhZGSEqVOnYt26deBwOFBXV4ezszMsLS1rrL9iPRWvYFZ09epVcLlcNvFTVlbGzp07MWTIkEpl+/TpgwcPHkBMjH9uKD09HZcvX0a/fv0AADIyMpg+fXqN/Xn27FlkZGRg9uzZAIBDhw5BTU0NX3/9tUC54uJizJw5E3l5eZg+fTpGjhxZqa6qjsH27dvx1VdfwcTEBL6+vvD19cUff/wBAFi3bh1cXV3RsWNHgbpSUlIQGRmJnj17Csy/efNmpX5uCFJSUpg+fTqio6OxZcsWgWXVHZf6LqvI3t4e58+fx4oVK8Dj8RATE4P//e9/CAwMxMiRI+Hv749BgwaxxzsqKgoqKipQV1dnv4PGxsa4efMmTE1NMXv2bBw/fhwPHz6Eo6Mjezxr+t58Xu/79+8BAHl5eRg7diz09PRw8OBBdl1HR0fMnTsX69ata5BjUB9S4lL40/5PTLw8EdGZ0VgesBy7Bu8CV4wrsjbV1bBumuipo4Ll50Jx900KNviE49rLT9g2oQd0Vb/8hBkhhBDS1Cg+k/qgK94VbelY9edMhQEUtnepuuyJCXXedFxcHMzNzfHx40f069cPdnZ24HK5ePPmDfr16weGYaCuro6xY8fiypUrAPiJ+q+//oqjR4/CyMgIR48eZZO+P/74A6dPn4alpSXs7OxgZGQEAOjRowdUVFRgZ2eHnj17Ql5eHnZ2drC1tYWqqiq+/vprREVF1Vh/xXpqEhYWxiZAANC/f3+EhYUJLduxY0c2ASpft0ePHux0Xl4eFi5ciFWrVuHRo0dVbtPJyQl//PEH/P39cefOHezYsQOOjo6VyomJiaF///6QlJSEnZ0dDAwMBJZXdwwyMzPh7e0NAPj3339x7NgxfPr0Cbm5udi/fz/at28vtC/Kj0e5R48eCe3nijIyMirdal/+qZhU10Z1x6W+yyqys7NDUFAQSktL8ejRI1hZWWHQoEHw9/cHAPj7+8POzo4t7+XlhTFjxgDgfwc3b96M06dPw8jICL///jsGDhyIR48ewdjYGHPmzEFwcDCAmr83n9cL8AdKGzJkCMzNzXH48GGBdU1NTREaGiryUUs1ZDWwy34XpMWlEZgQiM0PNou8TXXVXlEax76zwqYxZpCVFMfDmHRMcXuIklJ6rowQQkjLRPGZ1BVd8W5GDhw4gIkTJ2Lv3r0C893c3DBjxgw2qVJVVcX+/fvZq7Kamprw8PAAAOjr62Pv3r1YtWoVUlJSYGhoCAcHB3Tu3Jmtb8iQIXj69KnAFWNVVVXcuXMHGRkZkJOTw507d2BoaFht/cLqqU5WVhbk5eXZaQUFBWRmZta43urVq6GhoQFnZ2cAgJKSEvbs2QOGYRAVFYUhQ4bAw8MDo0aNqrSukpISTp48iQkT+CdCzp8/L3TEQXFxcUycOBG//PILuz+fJ5HVHYPBgwdj69atWLFiBZ4/f445c+bAz88PSkpK6N+/P8TFxSttLzc3t9Lt8VX1c0VSUlICSernhCX5NanuuNR3WUWdO3eGsrIyQkJC4O/vD1tbWwwaNAjbtm0DAAQEBGDZsmVseW9vbxw7doyd1tLSgru7OwD+3QnXr1/Hvn37APBvYw8MDETfvn0FtlnxeyOs3sLCQrx58wYrVqyo1GY5OTmUlJSgoKAAsrKyQverqXRX747tttux+M5iXIy+CHVZdSzsuVCkbaorDoeDaTZ6sDPSwIrzL+DSVw8S4nTulxBCSMtF8ZnUBSXeFa1OrHoZp0ICtTy6mrJ1/8ImJiaiT58+leZ/+vQJNjY27LSxsbHAIFTa2trs/ysoKCAvj38L/OrVq7Fu3TrY29tDXFwcO3fuxLhx4yrV7+HhgU2bNmHWrFno3r07EhMT2Wdvq6u/rjQ0NBAaGspOp6Sk1Jgorlq1ChERETh79iz7yoOKt5m3b98eR48eFZp4A0D37t0hIyMDBQWFWl2ZF6a6Y9C/f388efIEjx8/hpmZGZycnHD06FEoKSlh8ODBQutTU1NDRkaGwLza9nNRURF7pbgiIyMjDB8+vC67Vu1xqe8yYezs7BAQEAB/f3/s3r0bGhoayM/Px7Nnz5Cbmwtzc3MAQHJyMnJycgROFmlpabH/Ly8vX2m6Yl8J+94Iq1dZWRmXLl3C8OHDweFwBK6Gp6enQ05OTuRJdzk7bTus67sOGx5swKHQQ1CXUcdEk4miblad6ajK4uT3fQVeYXLpRSJeJWZhsYMhZCUpLBFCCGk5KD6T2qLTGRVJylX94UrXoWzdn+/u3r07rl+/Xuk2FRMTE4FE6/bt2zAxMamxPjU1Nezfvx9xcXE4cOAAVq5cCYB/xZTH47HlHjx4AFdXVyxfvhzTpk1Denp6rdpbsZ6aDBgwAL6+vsjNzQUAXLhwodoBzBYtWoTIyEicPXsWkpKSVZaLj48XuPJa0Y8//ohBgwZBU1MTv//+e63b+7nqjoG0tDR69uyJTZs2wcHBAX379kVwcDBu374NBwcHofVZWFggOjoaJSUldW5L+RVvYZ/6nFio7rjUd5kw9vb2uHnzJt6+fQtTU1MA/JMWmzdvhq2tLXub96VLl/DVV1/VeT/KVfW9qareXr164erVq5g9ezb7yAAAvHjxotJVdFEbbzQe8yz4o9JvebgFF6MuirhF9fN5UM8rKsEmn1c4GPAOQ3bexdWwjy3uVj1CCCFtG8VnUht06qIZmTdvHs6ePQtzc3NYWFhATEwMe/fuxbx582BjY4P+/ftDUVERISEhuHPnTo317d69G8+ePUNZWRkeP37MXgnt2rUrwsLC4OzsDHNzcwwbNgwuLi4IDg5GeHg4yspq91xHxXpWr16NmTNn4rfffhMYnbpcnz590KdPH1haWqJLly4IDg5GUFAQAP5zyz/88AMOHz4MLpeLw4cPY//+/XB2dmYHRrO1tcV3330HX19feHp6sreax8bGws/PT2gbL168iLt37yI4OBgFBQXo3bs3Bg4cWOcRy2s6BoMHD8aaNWuwc+dOSEpKQldXFyEhIejWrZvQ+mRlZeHo6Ihbt25h2LBhdWqLrKxsrW/v/9zChQuRmJiI/Px8TJ8+HRYWFliyZEm1x6W+y4Sxs7PDzJkzMX78eHbeoEGD4OLigp07d7LzvL29sX79+jrvH4BqvzfV1WtpaYkrV65g5MiR4HA4GD16NHx8fARuU28uXHu4IqsoCx4RHlh/fz3EOGIY02VMzSs2U3JSEvj96x5Yf+kVEjILMM/jGfp3UcWGr8xg2F5B1M0jhBBCaoXiM6kJh2kDpy6ys7OhpKSErKws9vnewsJCxMTEQF9fH9LS0jXU0HRKS0tx7949xMbGoqysDJMmTYKUlBQKCwtx9+5dFBUVYcCAAVBRUQHAH3gqPDycHUk6OTkZz549w7Bhw+Dn54e4uDhwuVwYGRnBysqK3U5sbCyCg4OhpKSE4cOH4+XLl3j9+jV69uyJzMxMSEtLw8zMrNr6K9ZjbGyMMWPG4OnTp1VeoS4rK8OdO3eQlpYGOzs7NkHPz8/HmTNn4OLiAnFxcYSFhVV6h7ORkRH69euH8PBwPHr0CGJiYtDU1MSAAQMgIyP8DgNvb2+Ym5tDT08PAP/d4x8+fICTk1OlskVFRfDy8mKTrejoaCQnJ7MDiFV1DADgw4cPuHPnDlxc+APwPX36FGlpaUK3U+7hw4f47bff4OXlVWM/N4RTp06hsLCQndbW1mavyFd1XL5kmTAeHh7o1q0be1t5eno6Ll26hKFDh0JTUxN5eXmwsLDAmzdv2LOuFfsmKioKKSkp7HF5/vw5AP5dBFV9b8pPZn1eb1paGvz8/PDNN9+wZV+9eoXQ0FCMGDECgwYNwoMHDyrdat4cfjsYhsGWh1twKvIUOODg1wG/4qvO9b9LoDko4JXiQMBb/B3wFrySMoiLcTDJWhs/OBpBVV5K1M0TOWFxrDVorftFCGmbKD63PXWJY5R4N7PEuyV7+/YtysrK2EHZSM28vb0xcuTIBnttWEuXkpKCly9fwt7eXqT1xsXFISkpSeBkVbnm8tvBMAx+ffgrTkeeBgf8d4pOMKr72xSam7i0fPxyJRy+4UkAgAvz+qGXjkoNa7V+rTVBba37RQhpuyg+ty2UeFdAiTchpKE0p9+OMqYMWx5uwenI0wCART0XYVb3WQLPaLVUD96mIfhdGn4Y8t9r956+z4C5llKbHG21tSaorXW/CCFtG8XntqMucYwusxFCSAslxhHDz31+hqKkIg6HHcbukN1IL0zHcqvlEKvHmxWaE5vOqrDprMpOf8jIx6RDweikIoMljoYY1aMjxMVa/h8whBBCWh+KzxSfhWnZR54QQto4DoeDRb0WYaUV/60FJyJOYHnAchSUFIi4ZQ0rJjUPCtISiEnNw+JTzzHkzwB4P09AaVmrv2mLEEJIC0TxmeJzRZR4E0JIKzDVdCp+G/gbJMQk4PveF9OvT0dSXpKom9VgBhqqI2CFPZYPNYaSDBfvUvgB3nFnAE4/jgOvpHZvYyCEEEKaEsVnis/lKPEmhJBWYpTBKLg5uUFFSgXhaeGYdGUSwlLCRN2sBiMvJYH59l0QtNIePzoZQUmGi5jUPGzyCUc+r0TUzSOEEEKEovhMAEq8CSGkVbFsbwnPkZ7ootwFKQUp+Pb6tzj5+iRa0ziaCtJcLBhsiHurBuPnEV2xYLAhlGX5rzBkGAZuge+QmNm6buUjhBDSslF8pvhMiXcb9PHjR1y5cqVB6vrw4QNu3LjRIHU1hvz8fJw/fx5ubm5wc3NDUFBQo27v/PnzKCkpafb90ta8f/8ewcHBom5Gk9FS0IL7cHc46DiguKwYWx5uwY8BPyKHlyPqpjUoeSkJfD/IAHPtOrPzHsWk45crERi47Q7mezzDo5j0VvVHDSGEkJaL4nPbjs+UeDdD6enpuHTpEk6ePInnz5/Xer3aJtSRkZHYvn17ndapysuXL/Hnn3/Wuy0AUFRUxCbG7u7u9W6LMGPHjoWbmxuCg4Ph7u6Oo0ePNmj9n7t//z48PDwgISFRZb80pNzcXPj4+ODy5cvIy8ur1bKoqCi2r8s/ly5dYpfn5+fDx8cHJ0+exOvXr6vc9unTp5GU9N/zSc+ePcPFixcFynh6eiI9PZ2dfvToEd6+fdug+/l5vampqTh58qTAsuvXr8PPzw9qamqYPXu20PVbK3lJefxp9ydWWK2ABIf/XJnzZWc8T34u6qY1KkkJMfQ1aIfSMgZXwj7ifwcfYMTuIHg8fI/cIrrdjRBCiGhRfG678ZkS72bmyJEj0NPTw86dO3Hp0iXMmDED9vb2yMmp+UxYdnY2wsPD67S9+qzT0PUWFxcjODgYvr6+WLhwYYO1obi4GI8ePcLVq1fh5uaG7777rsHqFmb79u1wdXVt1G2UCw4OhqWlJQ4fPozt27fDyMgIsbGxNS5LSUlBcHAw+/njjz/YxDs1NRUmJibYuXMnfHx80K9fPxw8eFDo9k+cOAEvLy92+tdff8WMGTPA4/HY7cyYMQMyMjJsmWXLltX5zGZ1+1Kx3tjYWCxfvpydv3XrVixfvhxdu3aFnJwcHBwc4OHhUaftt3QcDgcupi44NvwYNOU0EZ8Tj2+vf4u/nv4FXilP1M1rFD11VHBqtg2uLhqISdbakOaKIeJjNn6++BLWv95CVFLruqpACCGk5aH43DbjMyXezUhoaCjmzZuHq1evwt/fHydPnsSzZ8+wYcMGFBcXA/jv1u6PHz/i3LlzePbsGbu+oqIiTE1N2enS0lLcuXMHp06dQnR0tNBtfr5OdXUD/Kvb7u7ucHNzw71794TWFxwcjJs3b1ZqS3Xk5eXh5uaGLVu21Fj27t27ePjwITv98OFDobePl5aWYt++fWAYBv/88w8eP35cqUx+fj6uXbsGLy8vpKWlsfMvX76M5ORkAEBERATOnTvHLrt06ZJA2c/r8vPzw+DBgwXmV9WXX4rL5SIgIACXLl1CQEAA+vXrhyNHjtS4rF+/fuyV7sOHD6OoqAgzZ84EwO9LNTU13LlzB56envjzzz8F9v1z9vb28Pf3B8B/ZickJAQjRozAo0ePAAD+/v7o06cPm3inpKQgKysLXbp0Yb9niYmJOHv2LEJDQwEAr1+/hqenJ2JiYmq1nxXr/dzq1atx/vx5BAQEQFNTEwDw1Vdf4dSpU1/U7y1VD/UeODf6HL4y+AplTBn+efkPJl2ZhFepr0TdtEZj2lERv33dAw9/csSakV1hoC4HVXlJdFaXZ8vcf5uKlJwiEbaSEEJIW0bxuW3FZwlRN6C5YBim0d+rJyMhAw6n6hfKnzx5EqNHj8aAAQME5tva2rL///LlS8yfPx/q6uowMDDAzZs3sW/fPvzvf/9jbyEfOXIk8vPzMWTIECgqKkJVVRXLly/Hb7/9hqlTpwrU/fk61dXt6emJFStWYPDgwZCUlIS0tDT69+8vUNexY8ewb98+eHt7C9TbkDp06AAHBwfcvXsXAPDNN9/Az8+vUjmGYfD06VP2anq7du0ElmdkZKBv375o3749lJSUMGfOHPj5+cHMzAzXrl1DQkIC5syZg127duHEiRMYNmwYpKWl8d133yE+Pr7S9p4/f44uXbpAQuK/f1JRUVEYN25cpb6sKD8/H56enlXu76hRoyrNt7S0rDRPXV29xmWfu3nzJmRlZWFjYwMAGDRoEOTk5PDTTz9BU1MTp0+fxrJly4S2y87ODn/88QcA/nfS2NgYgwcPhr+/PwYMGAB/f3/Y2dmx5X18fPDVV1+x5V1dXaGqqgojIyNcuXIFrq6u8Pf3h66uLubPn49nz55BX1+/xn35vF6Af9znzZuH8PBw3L59GwoKCuwyCwsLgZM2bY2ipCK2DNyCwTqDsenBJrzJeIPJVydjovFELOy5EPKS8jVX0gIpyXIxa6ABZg7QR1J2EcTE+L/BvJIyLPAMQVZBMQZ0UcO4np3gZNYespIUFgkhhDQdis9tJz63/D1oIAUlBejj2adRt/Fw8kPIcmWrXP7hwweBK3fPnj1jr5QOHjwYBgYGAPjPRN+5cwcyMjI4deoUTp06VSmhO3DgAOTl5TF+/HgAgJ6eHrZv314p8a6oqroDAwOxePFigVt5P/fLL78gMDCQTXYiIyNr7pB6MDIywtatW+Hs7AwA2LZtW6WrnQAgISGBP//8Ezdv3oSbmxsACDzfvX//fvTq1Yt9Jnjjxo345ZdfcPLkSTg4OODkyZOYM2cOgoKCMHnyZAQEBEBJSQndunWDrGzlY5iamgoVFRWBebU5TuXlqhr4y9DQUGji/bmLFy8iIiJC4EpwbZa5ubmxV7sB/tVlXV1d3L17F1paWsjJyYGamprQbVpYWKCwsBBRUVHw9/eHra0tbG1t4erqijVr1sDf3x/79u1jy3t5eWHNmjXsdGlpKe7duwdpaWls2rQJXl5eePLkCcTExDB79mz4+Phg0aJFNe5LxXpTUlJw+PBhPH78WCDpBgAVFRXk5+cjPz9f6DFsKxx1HdFToye2Pd6GqzFX4fnaE7fe38Ky3sswXH94tScHWzIOh4MOStLsdHJOIXRVZRESl4mANykIeJMCGa44HLpqYFSPjrAzVoc0V1yELSaEENKWUHzma83xmW41b0batWsnMGDVhw8fEBwcjPXr17O38AKAmZkZewuvlpYWMjIyKtUVFhaGvLw89lneT58+wdHRscY2VFX33Llz4e7uDk1NTbi4uAgMvPXkyRPs3LkTJ0+erJTsNIbJkyejuLgYUlJSmDhxYr3qiIyMFLiTYPDgwezJAnt7ewQEBCAmJgbt27fHqFGjcPv2bdy+fRsODg5C61NQUKg0cFdtjhMASElJoW/fvkI/ZmZm1e6Hl5cX1q1bB19fX8jLy9d6WWpqKq5duwYXFxd23tGjR5GcnIx79+7h9OnT2LJlC+bMmSN0u2JiYhg4cCD8/f3Zq9tdunTB+/fvkZCQgHfv3qFv374A+Ff0w8PDYWVlxa5vamoKaWn+j2zHjh3Rs2dPiImJsdMV+0rYvgirV0NDA25ubhg1alSlkz95eXmQkJAQeO68rVKVUcXWQVtxcMhB6CjoILkgGSsDV2LqtamtfnCXcloqsrg4rz/u/GiHxQ6G0FWVRUFxKS6HfoTriafYd0f44zmEEEJIY6H43LrjM13x/n8yEjJ4OLlxb0OVkaj+D/4RI0Zg0qRJ2LJlCzQ0NDB69GiMHj26UsJc8YyXsAGrOnXqBAkJCfZqb21VVXePHj0QGhqKuLg4eHh4YNKkSQgJCQEA9O7dG6NGjcKIESNw7dq1Sld+G9rhw4ehqKiIjIyMSrca15ampibevHnDTr9+/Zp9FlhFRQXa2trYsWMHHBwcYGdnh40bN0JOTq7K59C7d++OqKgogXm1OU5A/a94nzx5Er/++it8fX3RsWPHWi8DgOPHj2Po0KECt21nZWUJXOFWV1dHZmam0G0D/z3n/ezZM/aWcEtLS2zbtg19+/ZlE+sbN25gyJAhAv1RsW+q66uq9kVYvQDw7bffgmEYODg44Pbt2zA2NgYAhIeHw8LCotWeMa6Pfh374cKYCzjy8gj+ffkvQlNC4XLNBU66TphvMR8GygaibmKj01eTww9DjLDE0RAvPmThSmgiroR+xPBummyZO6+T4fEwDo5dNTC4qwY0FKSrqZEQQgj5MhSfW2d8psT7/3E4nGpvA28KQ4cOxTfffANzc3NMnz4d2traSE5Oxrt376ClpVWnuubNmwdLS0vMmDED1tbWkJCQgL6+fpVXbGty69YtxMbGoqysDC9fvqyUzC1YsAAyMjJwcHDA9evXK63/77//YsKECVBUVBRa/4kTJxAfHw8ejwc3Nzfo6OjAycmpUrmwsDBs3rwZDx48QHZ2NoYOHQpzc3Po6OjUaX9mzZoFa2trcLlcKCoq4s8//8SJEyfY5Q4ODti1axcCAwOhqKgIKSkphIWFoU8f4Y8jqKmpwcTEBM+ePUOvXr3q1BYVFZU6nyC5evUqpk+fjrVr1+Lq1asAABMTEwwYMKDaZeX++ecf9hntcqNHj8bmzZvx448/QktLCwcPHmRv6RfGzs4OP/30EwYOHAgulwuAPx7B0qVLsWrVKract7c3Jk2aVKf9q81+Vlfv9OnT2eTbz88PRkZGuHXrFsaMGVOvdrRmUuJScDV3xXjD8dj7fC8uRl2E73tf3Iq7hRH6I+Bq7gpdRV1RN7PRcTgcWGgrw0JbGT8N74rPz8/4hCbiVkQSbkXw70gy11KCnbEG7IzV0UNLGeJidDKHEEJIw6L4zNea4jMl3s3MwYMHMXHiRNy4cQOvX7+GoaEhgoKC2ERXW1sbw4YNY8t36NCBHcBMU1OT/f9OnTrh5cuXOHLkCJ4/f46SkhKUlJTAwcFBoNzn/19d3ZGRkQgJCQGXy0Xv3r0xY8aMSuvMnDkTysrKcHd3x6hRo9h109PTsWrVKvZ5c2GePn2KnJwcTJ48GcHBwSgoKBCaePv6+uLo0aPo1KkTOnXqhF27dsHX1xezZs2qVFZaWhpTpkxhp42MjNirnYaGhnj48CFOnDiB7Oxs+Pj4sIOMAYCzszOysrLYK7mLFi3C+/fv2QRTmEWLFuGff/5Br169qu3LhsDhcODi4oLY2Fj29VpcLhcDBgyodhkAJCUlwc7OrlL/du3aFY8ePcLJkycRGxuLNWvWVJswl58gGjJkCDtv2LBhePr0KcaNGweA/yx3YGAgDh06xJap2DcmJiYC/fr5iYuq9sXGxqZSverq6pg8eTI7/d1330FGRgYeHh5Ys2YNzp49yybvpDJ1WXVs7LcRk00mY//z/fCL98Pld5dxNeYqhuoOxXfdvkNX1a6ibmaTEKsQqOcM6gw9VTncikhC6IcsvPj/z67bUWgnJwn/5XZQlK76t4EQQgipL4rP/2np8ZnD1PXFui1QdnY2lJSUkJWVxV5xLSwsRExMDPT19dlbYknjePr0KZKTkzF8+HBRN6VRMQyDdevWYf369QKjm7dl8fHxOH/+PJYsWSLSeiMjI/HgwQNMnz79i7fdVn47XqW9wv7n+3H3w112no2mDaaaTsWATgMgxmmbQ4QkZRfCPzIZ/pEpCIpKRQcladxc+t94ET9dCIMYB7DprIr+ndWgIifZINsVFsdag9a6X4QQ0lgoPgvXEuIzJd6t/I9nQkjDamu/HZHpkfj35b+4EXsDpUwpAEBLXgvOxs4Y22UslKWVRdtAESouLcOnrEJot+M/psQrKYP5Rl8UFPP7acc35hhvWbfHhKrSWhPU1rpfhBDS2Cg+V625xmdKvNvIH8+EkIbRVn87EnIT4BHhAa9oL+TwcgAAXDEu7LXtMc5wHGw0bSAu1jJf79FQeCVl8I9MxoN3aXjwNg3/TrdCR+WGGUW/tSaorXW/CCGkqVB8rllzic+UeLexP54JIV+mrf925Bfn41rMNZyKPIXX6f+9VlBDRgNOek4YoT8C3dS60ejxDay1Jqitdb8IIaSpUXwWDUq8K6DEmxDSUOi34z8RaRHwivbClZgryCrKYud3ku8ERx1HDNYZDHN18zZ/pr0htNYEtbXuFyGEiBLF56ZDiXcFlHgTQhoK/XZUxivl4V7CPVyLvQb/eH8UlBSwy9pJt8PATgMxoNMA2HS0gZKUkuga2oK11gS1te4XIYQ0BxSfGx8l3hVQ4k0IaSj021G9/OJ8BCUEwS/eD3fj7yKnOIddJsYRQze1bujToQ+sNa1hoW4BaQnqw9porQlqa90vQghpbig+Nw5KvCugxFtQXl4ekpOToa+v/8V15ebmIi0tDbq6ug3QsuYtISEBGRkZAIB27dqx71ZvDO/evYOuri4KCgraTP82F5mZmeDxeNDQ0BC6vC3/dtRVcVkxnnx6gnsJ93Av8R6iM6MFlnPFuDBVNUUvjV7oqdET3dW7Q01GTUStbd5aa4LaWveLEEKaM4rPDYcS7wpaYuKdlJSE/Px86OrqQkysdu/jq21C7e/vjw0bNsDf3/+Lk/Dr16/jr7/+wvXr1+vVls9lZGQgIyMDBgYGNZZNTk6GmJgY1NT++xEoKSnB69evBcoZGhpCSkqq1m2oyuLFi3H69GmoqakhMzMTw4YNg5ub2xfXK0xMTAymTZuGwMDAKvu3oWVmZiI3NxedOnWqNOhGWVkZYmJiUFBQAA0NDYGEtLpl5SIjI6GjowMZGf7okampqcjOzhY4zm/evIG2tjZbJjk5GVwuFyoqKnXeF2Hfjc+XcblcyMjI4P379zA2NmaXJSYmorCwENLS0vj6669x//59of/2mvtvR3P2MfcjHn56iEcfH+Hhp4dIzk+uVKajXEd0U+sGMzUzmLQzQdd2XaEiXffvQWvTWhPU1rpfhBDSklB8rr+6xDGJJmoTqaXHjx9j9uzZiIyMRPv27ZGWloZ58+Zh06ZNkJSs/kXv4eHh2L9/P44cOVLr7dVnncaod9OmTfj999+hoKCAjh074ubNm0ITp9jYWHz//fcIDQ0Fj8eDtbU1zp8/D3l5eaSmpqJnz54CyZSXlxe6dOnyRftSVlaGo0eP4tOnT5CRkcHRo0cRFBT0RXVWZ+vWrZg7d26j1f+53NxcLFiwANeuXQOHw4GysjK8vb3ZPgwKCsKUKVNQXFyMdu3aYd68eZg3b16Nyz43e/ZszJkzB5MnTwYALF++HD4+PkhJSQGHw0FeXh66d++Ojx8/son3rFmzsGbNGlhbW9d6X6r7bpQrr1dMTAxjx47Fhw8fAAC+vr6YMWMGzp49CxsbGxgZGeHSpUsYO3ZsvfqVCKcpr4mxXcZibJexYBgG8TnxCEkOQUhyCJ4nP8e7rHdIzEtEYl4ifN/7sutpyGjAUMUQhiqG6KLcBQZKBtBT0oOCpIII94YQQghpHSg+Nw1KvJuRxMREODk5Yd26dVi8eDHExMRQUFCA3bt3Iy0tDZqamgK3dn/48AGqqqpssmJqaop169YJ1JmXl4eUlBRoa2tDXLzyyIWfr1Nd3QBQVFSEuLg4FBUVVXmrdVpaGjIyMoS2pSpv377Fzp078erVK+jr62Pq1KnYtm0btm3bVqnsq1evsGrVKjg4OKCgoACOjo7Yv38/VqxYAQBQVVXFy5cva9xmXFwcZGVl2eQ+NTUV+fn50NHRESjHMAwePHgALpeLt2/fQl1dXWh96enp4PF46NChAzvv3bt36NixI6SlpZGZmYnU1FT2JEBMTAw6dOgg0L8A/6r92bNn8ccff1TahrBj8qUSEhIwatQoHDlyBBwOB7Nnz8auXbuwf/9+FBQUwNnZGb/88gu+++47gfWqW1aRvb09AgIC2MT7/v37sLS0RFhYGHr06IGgoCCYmpqiXbt2AID8/HyEh4fDyspK4DsZHx8PNTU1yMjIgMfj4cOHD9DR0YGEBP9nrKbvxuf1Pn36lG3fhQsXsGTJEly5cgXm5uYAgK+//hrHjx+nxLsRcTgc6CjqQEdRB2O6jAEA5PJyEZ4WjrDUMESkR+B1+mu8z36P5IJkJBck417iPYE61GXUoaOoA11FXWgraENbQRta8lroJN8JSlJK9MoUQgghpI4oPjcekSfeWVlZcHd3x+vXr7F48WIYGhpWKvPx40ecOHECSUlJ6N69OyZPngwul9ug7WAYBkxBQc0FvwBHRqbaL9rRo0fRu3dv/PDDD+w8GRkZrFy5kp0OCgrCzz//DC6Xi+TkZGRmZuL69euwtrbG48eP2VvIGYbBggULcObMGSgpKYHH4+Hs2bPo06ePwDY/X6e6uoOCgvD1119DWVkZkpKScHZ2xtq1awXqevbsGVxcXHDo0CF8+PCBrbcmV69exZAhQ9jb0l1dXfH9998LTbxHjhwp0DempqYoLi4WKPP+/XvIyckJvWJeLjIyEgsXLsTjx48BAAMGDMD+/fsrJd7FxcWYNWsWsrKyMHHiRMyaNQvKysoCyydPnoybN29CSkoKnTt3hre3N9TV1bF+/XqMHDkSEydOxJYtW3DgwAGkp6eDy+Wif//+CA0NrZREh4aGQlNTU+AqbUpKCvr27VvpmFQk7Fb7cnJyckJv+zc2NoahoSFevXqFjIwMhIeHY86cOQCAK1euQE1NDVOmTMG7d++gra3N/rurbllFdnZ2cHV1BcA/4aGmpobhw4fD398fPXr0gL+/P+zs7NjyN27cwJAhQ8DhcBAUFIRVq1YB4P9W5Ofn48CBA1i1ahUKCgogKyuLhw8fQllZucbvxuf1ljt27Bg2btyIW7duwcjIiJ1vbW2NWbNmCd0f0njkJeVhrWkNa83/vt95xXmIyohCVGYUojOiEZ0ZjZisGKQUpLCfp0lPK9Ulx5WDppwmOsh1gKacJjRkNdBetj3ay7aHuqw61GTUoCyl3GaDf0NpivhMCCFEtCg+NwyRJt6HDh3Chg0bYG9vD09PT0yYMKFS4v3mzRv069cP1tbW6NOnD3799VccPXoUt27dEnoFt76YggJE9rJssPqEMX72FBxZ2SqXR0ZGwtLyvzYkJycjOZn/jIW2tjaUlPjD/EdHRyMkJAQGBgb466+/sHv3bpw4cUKgrhMnTiA2Nha3b9+GmJgY/P39sWzZshpvka6qbg8PD2zYsEHorcQA/1nvFStW4MKFCzA2Nq5Vwl3u48eP0NLSYqe1tbWRkJBQ43ovX77E9evX8eDBAwAAl8uFmpoaRowYgfj4ePTs2RMXLlyAqqpqpXWHDBmCCRMmsEmms7MzBg8eXKmcpKQkAgMD0a1bN/ZK+tGjR9nl//zzDz5+/IiPHz9CSkoKLi4u2LRpE/bs2YPBgwfj1q1bmDhxIu7cuQN7e3s8fPgQSkpK0NDQEHpiICEhAe3btxeYV5vjDfDvNpg4caLQvurVqxeOHz8udFleXh4mTpyIpKQkmJmZYcSIEex2lZWV0b17d/B4POTm5uLEiRMYOnRotcsqsrGxwfv37/Hp0yfcuXMHtra2GDRoEH755RcsWrQI/v7++Omnn9jy3t7emDRpEjsdGxuLFy9eQFdXF/Pnz8fSpUvx9OlTqKqqYuzYsTh37lylJLnid0NYvUlJSZg5cyZCQkIEkm4A7GMe5c98E9GR48rBQsMCFhoWAvNzeDmIyYpBXE4c4rPj8T7nPT7kfEBCbgJSC1KRV5yH6MzoSgPGfE5CTAKq0qpQlVFFO+l27EdZShkq0ipQklKCkqQS/79SSlCUVISUuFSr/GOgPpoqPhNCCGl+KD7XnUgTbxsbG0RFRSEjIwOenp5Cy6xcuRLdunXDlStXwOFwMHPmTHTu3BkeHh6YNm1aE7e4cUlLSyM3N5edPnfuHPbv34/Y2Fi4ubmxSZWVlRU7MJWlpSUuXbpUqa6AgAC8ePGCvb0XQJW3SX+uqrpHjBiBmTNn4ubNm3B0dMT06dMhJycHAHj+/DlcXFzYq7V1JSUlhaysLHa6qKioxtupIyIiMH78eJw5c4ZN2j+/zbywsBBTp07Fpk2bsGvXLqF1bNy4ERYWFpCSkoK7u3ud2w0Ajx49wsSJEwWeTS6/Q8HBwQGbNm1Ceno6xMTE8M033+D27dtQUlKCg4OD0PokJSXB4/EE5tXmeAP8/T916pTQZeXHShgFBQW8fPkSZWVlWLJkCRYsWICTJ09CUlISz58/x8uXL6GtrY0TJ05g7ty5ePfuXbXLKpKSkkLfvn0REBAAf39/TJo0CRYWFnjx4gVycnIQEhKCQYMGAQBKS0sRGBiIQ4cOsev37t2bHdXdwsICeXl57MkUc3NzJCYmCmxP2HdDWL3t27fH2LFjMXv2bNy4cUNgQIzi4mJwOBy6cteMKUgqoId6D/RQ71FpWUFJAT7mfsSnvE/4mPcRH/M+Ijk/Gcn5yUjKT0JqQSoyizJRUlaCpPwkJOUn1Xq7XDEuFCUVoSCpAHmuPOQl5SHPlYcsVxZyXDn2IyMhA1kJWfTV7AtN+br/LrYEbSk+E0IIqR2Kz1UTaeLdvXt3AGBf0VRRcXExrl27ht27d7NnMLS0tGBnZwdvb+8GDewcGRkYP6t8O0RD4tSQTPbv3x+bNm0Cj8eDpKQkO1iVo6OjQLnyZ1oB/nMYZWVlleqSk5PDt99+i19//bVObayq7q+++gqvX7/GrVu3cO7cOXh7e8PXlz+4Qvfu3aGpqYmff/4Zbm5utR6FvVznzp1x+/ZtdjosLAydO3eusvyLFy8wfvx4uLu7w8bGRmgZaWlpDBs2DD4+PlXWc+/ePRQWFiI7OxsRERHo1q1bndoN8Ps5MzOTnc7IyGBvEy9//vjw4cOwt7eHo6MjnJ2doaioWOWdA8bGxoiNjRWYV5vjDdTvindJSQlbv5iYGBwcHLBlyxYAQJcuXaCvrw9tbW0A/FvGExISwDBMtcuEnW0sf8773r172LNnD8TExGBiYoK///4bZmZm7O37gYGBsLKyEhhIsOL+V9cfVX03hNULAHv37sX8+fMxdOhQgeT73bt3MDQ0pKt2LZSMhAwMlA1goFz1GxJ4pTykF6YjJT8F6YXpSC9MR1phGjILM5FRlIGMwgxk8bKQXZSNrKIsZPGyUMaUobisGGmFaUgrTKtVW/YM3tMqE++mjM+EEEJah7Yen0X+jHd1ygfyqvhsqoGBAe7du1fFWvwrpkVFRex0dnZ2jdvicDjV3gbeFCZOnIgDBw5g6NChWLJkCbS1tZGcnIy4uLg6D6g1bdo0ODo6QldXF9bW1pCQkICSkhKbKNVVXFwcsrOzYWJiAmtra5w8eZJdJi4ujmPHjsHV1RVTpkwRevX41atXMDQ0FDoy+9ixY7F48WLs3LkTPXv2xLp167B06VIA/z23bGZmBg6Hg+fPn8PJyQlbtmxhr9SWD/SWlpaGjx8/gmEYREVFYcuWLVi+fLnQ/UlJScG3336LM2fOICUlBc7Oznj06FG1V4aFmTBhAv73v//BzMwMioqKWLNmDRYsWMAuHzx4MLZu3YrTp09DU1MT2dnZePnyZZVXpvX09CArK4vY2Fjo6enVqS3t27ev1cBynzty5Aji4uIwfPhwZGRkYP369Rg3bhwAYPjw4Vi4cCH27NmDPn364K+//oKjoyM4HE61y4Sxs7PDN998AwMDA/bExKBBg/DHH39g6tSpbDlvb+96D2hW3XejunrLk+9hw4bhxo0bUFBQwN27dzFs2LB6tYO0DJLikugg1wEd5DrUXBj8cUDyivOQw8tBNi8bucW5yOXlIqc4B3m8POSV5CGXl4v8knzkF+ez/9WQFf4++JauKeMzIYSQtqM1x+dmnXgX/P9gZwoKgkPSKyoqIj8/v8r1fvvtN2zcuLFR29YYJCUlcfv2bezatQt//vkn8vPzYWhoiD179rDPziooKAgkZJ8PmvX5/1taWuLy5cvYuXMn9u/fj5KSEjg5OWHnzp1VrlNd3Tt27MDt27fB5XJhZGTEPmNcvg6Hw8HBgwexcuVKbNiwAWPGjGHXLSwsRO/evfH+/Xuh73mWl5fHlStXsHHjRpw6dQpTpkzBjBkzAPx3FffZs2eQlJTE06dPoaGhgb/++otdf/z48di4cSOuXbuG33//HWJiYtDU1MRPP/2E77//Xmhfb9u2DcuWLYOVlRUA/i3je/fuFRjIrpyEhARMTEzYaRUVFXTq1AkAYGtri3379uHAgQMoKirCnDlz2IHEAP6dAsHBwRgwYADb1levXgkMnlaRq6sr3N3dsXbt2mqPSUOYMWMGdu3ahZUrV0JaWhozZszA/PnzAfCfmb9y5QrWrFkDd3d3WFtbY8+ePTUuE6Zv377o2LEjvv76a3aeo6Mj3N3dMXz4cHbetWvXsGHDBna64v63a9eO7XsAAt+nmr4bn9crIyPDHlMOh4N9+/Zh2bJlWLZsGQ4cOABPT0/s37+/dp1I2gQOh8O/bU1SHppofVew66qtxWdCCCHNU0uKzxyGYRhRN+LDhw/Q1tbGnTt3BEY3jo2Nhb6+Pq5duyZw9Wn27Nl48uQJnj17JrQ+YWfUtbW1BV5sXlhYiJiYGOjr69PgSY3s7t27ePz4MZYtWybqprQIhYWFmDx5Ms6cOSNwW3VrFxsbi40bNzb4O+XrWm94eDgOHTokkMB/jn47iChkZ2dDSUlJII6JUmPGZ0IIIaSlqEt8btZ/1evo6EBeXh4RERECgT0iIgKmpqZVriclJQUpKammaCKphUGDBrGDZ5GaSUtL48KFC6JuRpPT09Nr8KS7PvWamppWmXQTQvgoPhNCCCF1U7dRsJpY+UjQR48eZW9re/78Oe7fvw9nZ2cRt44QQghpmyg+E0IIIXUj0iveDx8+hLu7O/Ly8gAAu3btwrlz5zBixAj2XcK///477OzsYGlpCQsLC1y/fh3Tp0/HV199JcqmE0IIIW0axWdCCCGk9kSaeCspKbEDHFlaWrLz1dTU2P/X0NBASEgIbty4gaSkJCxatAh9+/Zt8rYSQggh5D8UnwkhhJDaE2nibWJiIjBadFWkpKQwevToRmlDMxhbjhDSgtBvBiH/acz4TAghhLQmzXpwtcbE5XLB4XCQkpICdXX1Kt8/TAgh5RiGQUpKCjgcDrhcrqibQwghhBBCWog2m3iLi4tDS0sLHz58QGxsrKibQwhpITgcDrS0tCAuLi7qphBCCCGEkBaizSbeACAvLw9DQ0MUFxeLuimEkBaCy+VS0k0IIYQQQuqkTSfeAP/KN/0RTQghhBBCCCGksTTr93gTQgghhBBCCCEtXZu44l0+CnF2draIW0IIIYTUXXn8am2j6lN8JoQQ0pLVJT63icQ7JycHAKCtrS3ilhBCCCH1l5OTAyUlJVE3o8FQfCaEENIa1CY+c5jWdvpciLKyMiQmJkJBQeGLXxuWnZ0NbW1txMfHQ1FRsYFa2PJQP/BRP/BRP/BRP1AflGvofmAYBjk5OejYsSPExFrPU2IUnxse9QMf9QMf9QMf9QP1QTlRxuc2ccVbTEwMWlpaDVqnoqJim/7SlqN+4KN+4KN+4KN+oD4o15D90JqudJej+Nx4qB/4qB/4qB/4qB+oD8qJIj63ntPmhBBCCCGEEEJIM0SJNyGEEEIIIYQQ0ogo8a4jKSkprF+/HlJSUqJuikhRP/BRP/BRP/BRP1AflKN+aHrU53zUD3zUD3zUD3zUD9QH5UTZD21icDVCCCGEEEIIIURU6Io3IYQQQgghhBDSiCjxJoQQQgghhBBCGhEl3oQQQgghhBBCSCNqE+/xbkjv379HSkoKjI2NoaCgIOrmNImCggKEhISgU6dO0NXVFVomMzMT0dHR6NChQ4O/k7U5YBgG0dHRKC0thYGBASQlJYWW+/TpE+Lj42FgYABVVdUmbmXjK+8HHo8HAwMDyMjICC0XExOD9PR0mJiYQE5Orolb2XTev3+P+Ph4mJmZQUVFRWAZwzCIiIgAj8dDt27dICHRen5uy8rKcP/+/UrzjYyMoKGhITCvuLgYL1++hLS0NLp27dpUTWxy8fHxSEtLg5mZGbhcbqXlOTk5iIyMhJqaGvT09Jq+gW0AxWeKzxSfKT6Xo/gsiOJzM4nPDKmVvLw8ZtSoUYysrCxjYmLCyMrKMgcPHhR1sxpVUlISs2TJEkZTU5ORlpZmVq5cKbTc9u3bGWlpaaZr166MjIwM4+zszBQVFTVxaxvP3r17GW1tbcbQ0JAxNDRk1NTUmOPHjwuUKSkpYWbOnMlIS0szpqamjJSUFLNu3ToRtbhxnDhxgtHX12e6du3KGBkZMYqKisyOHTsEymRlZTGOjo6MvLw8Y2RkxMjLy1fqq9YiJSWF0dbWZgAwPj4+AsuioqIYU1NTRl1dndHR0WE0NTWZoKAgEbW04eXk5DAAmB49ejD9+/dnP1evXhUo5+fnx7Rv357R09NjVFVVmR49ejCxsbEianXjiIuLY2xtbRllZWWmd+/ejIGBAXPz5k2BMocPH2ZkZWUZY2NjRk5Ojhk+fDiTm5sroha3PhSfKT5TfKb4/DmKzxSfGaZ5xmdKvGtpyZIljJ6eHpOUlMQwDMOcPHmS4XA4TEhIiGgb1ogePXrE7Nixg0lLS2PMzMyEBnZ/f3+Gw+EwN27cYBiGYd6/f89oaGgwGzdubOrmNpoNGzYwCQkJ7PSBAwcYcXFx5tWrV+y8v/76i1FWVmYiIyMZhmGYwMBARkJCgvH29m7y9jaWPXv2MB8/fmSnT58+zQBgnj17xs6bNWsWY2xszKSnpzMMw/9Bk5CQYPultSgrK2NGjhzJrFy5Umhgt7KyYkaMGMGUlJQwDMMw8+fPZzp06MDk5eWJorkNrjywP3jwoMoyWVlZjKqqKrNixQqGYRiGx+Mx9vb2zMCBA5uqmY2uoKCAMTExYUaNGsUe2+TkZOb06dNsmdDQUEZMTIzx9PRkl+vp6TELFy4USZtbI4rPFJ/LUXzmo/hM8Znic/OMz5R410JpaSmjoqLC/P777wLzDQ0NmcWLF4umUU2sqsA+bdo0pm/fvgLzfvzxR0ZXV7eJWtb0SkpKGHFxceaff/5h5/Xo0YNxdXUVKOfo6MiMGTOmiVvXdJKTkxkAzOXLlxmGYZjCwkJGVlaW2bt3L1umrKyM6dixI/Pzzz+LqpmNYseOHYy9vT3bB58H9tDQUAaAwBn0xMRERkxMjDl79qwomtvgygP72bNnmSdPnjAZGRmVyhw/fpzhcrkCy65fv84AYKKiopqusY3on3/+YSQkJJjExMQqyyxdupTp0qWLwLzff/+dUVJSYv/wI/VH8Zni8+coPvNRfKb4TPG5ecZnGlytFmJjY5GRkQFLS0uB+VZWVggJCRFRq5qHkJCQSv1ibW2N9+/fIyMjQ0StalwhISEoLS1Fly5dAPCfkXn16pXQfmht34+UlBQEBQXBx8cHLi4usLOzw5AhQwAAkZGRyM/PF+gHDoeD3r17t6p+ePr0KbZv347jx4+Dw+FUWl6+r5/3g6amJrS0tFpVPwDA3LlzMX36dLRv3x7Ozs7IzMxkl4WEhMDAwADKysrsPGtra3ZZa3D79m1YWlqiQ4cOCAsLQ2RkJEpKSgTKVPUbmZWVhXfv3jVlc1slis9Vo/hM8ZnisyCKz3wUn/lEEZ8p8a6F9PR0AKg0GIeqqiq7rK1KT08X2i/ly1qbvLw8zJo1C7a2thg4cCAAICsrC6WlpW3i+xESEoJVq1Zh6dKleP78OebPn88OZNMW/p3k5ORg4sSJ2L17d5WDFKWnp0NWVhbS0tIC81tTP0hISOD48eNISUlBWFgYIiIi8PjxY8yfP58tI+y3QVlZGWJiYq2mHxITEyEtLQ1ra2tMmjQJTk5O0NPTw82bN9kybe03sqm1hd+d+mpr3z2KzxSfKT5TfC7XXOMzJd61UD4CXmFhocD8goKCKkfPbCu4XK7QfgHQ6vqmsLAQY8eOBY/Hw5kzZ9izqW3p++Hk5ISgoCBERUXh4MGDcHZ2xq1btwC0jX74+eefoa6uDk1NTQQFBeHhw4cAgPDwcISFhQHg90NRUREYhhFYtzX1g7S0NFxcXNhpAwMDrFixAufOnWPPKAv7beDxeCgrK2s1/cDlchEQEIDVq1fj5cuXiI2NxYQJE+Ds7Izc3Fy2TFv5jRSFtvC7U19t6btH8ZniM8VnPorPfM01PlPiXQvlr+hISEgQmJ+QkAAdHR1RNKnZ0NXVFdovXC4XHTp0EFGrGl5RURHGjh2L+Ph4+Pn5CbySQUlJCcrKym3u+zFmzBgYGRnh+vXrANrGvxN5eXmIiYlh1apVWLVqFTZv3gwAOHbsGA4dOgSA3w+lpaVISkpi1ysrK8OnT59aTT8I0759e/B4PKSmpgKo+rcBQKvpBz09PWhoaGDcuHEA+LduzpkzBxkZGXj58iWAttEPotQWfnfqi+IzxWeKzxSfAYrPQPOJz5R414KysjJ69+6NS5cusfOysrLg7+/PPj/TVg0ZMgS+vr4oKipi53l7e8POzk7ou/JaovKgHhsbizt37gj9g8XR0RE+Pj7sdElJCa5cudJqvh88Hg/FxcUC8/Ly8vDp0yf2thwtLS2YmJgI/DtJTk7GgwcPWk0/bNmyBUFBQezn8uXLAICtW7diz549AICBAwdCSkpKoB8CAgKQmZnZavohLy+v0jxfX1+oq6uzf/QOGTIESUlJePToEVvG29sb8vLysLGxabK2NqahQ4ciOzubPXsOAB8+fAAAqKurA+D3w927d5GVlcWW8fb2Rs+ePVvlu4SbGsXnqlF85qP4TPGZ4jPFZ6CZxOdGGbKtFfL19WUkJCSYtWvXMl5eXoytrS1jbGzM5Ofni7ppjYbH4zGBgYFMYGAgo6+vz0yZMoUJDAxkXrx4wZZJT09ndHR0mBEjRjCXLl1ili5dykhKSlb7GoOW5quvvmIUFBSYs2fPsv0RGBjIxMXFsWVCQ0MZWVlZxtXVlbl06RIzfvx4RkNDQ+D1Hi1ZYmIiY2FhwezZs4fx9fVlPDw8GBsbG0ZbW5tJTk5my128eJERFxdnNm/ezFy8eJGxsbFhzM3NGR6PJ8LWN56UlBShryvZuHEjo6ioyBw6dIjx9PRkdHR0mMmTJ4uolQ1v165djLOzM+Ph4cFcuXKFmT9/PiMhIcEcOXJEoNy4ceOYLl26MKdOnWL279/PyMnJMdu2bRNNoxtBaWkpM2DAAMbR0ZHx8fFhPDw8GAMDA2b8+PFsmYKCAsbU1JQZNGgQ4+Xlxaxbt44RFxdnrl27JsKWty4Unyk+U3ym+FwRxWeKz80xPnMYpsKDDqRKAQEBOHDgAFJSUmBhYYFVq1axZ01ao/T0dIwePbrSfDMzMxw8eJCdTkhIwNatW/Hq1Stoampi4cKF6NOnT1M2tVHZ2dlVGgkRAGbPno1p06ax0y9evMCff/6JuLg4GBsbY8WKFdDX12/KpjaqmJgY7Nu3D2FhYVBWVoaVlRVmz54NRUVFgXI3b97E4cOHkZ6ejt69e2PlypVQUVERUasbV1ZWFkaOHIlt27ahX79+AsuOHj2K8+fPg8fjwcnJCQsXLmw1z04BgI+PD86ePYuUlBQYGBhg9uzZMDc3FyhTVFSEv/76C35+fpCSkoKzszOmTJkiohY3jry8POzYsQNBQUFQUFCAg4MDZs+eDQkJCbZMamoqtm7dipCQEKiqqsLV1RX29vYibHXrQ/GZj+IzH8Vnis8Unyk+N8f4TIk3IYQQQgghhBDSiOgZb0IIIYQQQgghpBFR4k0IIYQQQgghhDQiSrwJIYQQQgghhJBGRIk3IYQQQgghhBDSiCjxJoQQQgghhBBCGhEl3oQQQgghhBBCSCOixJsQQgghhBBCCGlEEjUXIYS0NE+ePEFRURH69+/f5NsODAxEQkICAGDo0KFQUVGpd1312Y/nz5/j9evXAAAbGxvo6urWe/uEEEJIQ6L4TPGZtF2UeBPSgoSGhiI8PLzaMmPGjIGbmxtSU1NFEti3bt2KqKgo9OzZE9bW1l8U2OuzH69evYKPjw+8vb1x+PBhCuyEEEIaHcXnmlF8Jm0dJd6EtCCvXr2Ct7c3O+3t7Q1DQ0OYmpqy85ycnGBlZYWcnBxRNBEAMHz4cPz1119fXE999mPKlCmYMmUKOnTo8MXbJ4QQQmqD4nPNKD6Tto4Sb0JakEmTJmHSpEnsdIcOHfC///0Pa9asEShnbm6OoqIidjo4OBgcDgdmZmYICQlBdnY2bG1tIS8vj+zsbNy7dw9SUlLo168fpKWlK203NDQU7969g7a2Nnr27AkxsboND1Hf7Ve1H926dUNISAjy8/PRp08fKCkp1ak9hBBCSEOi+EzxmZCaUOJNSCtU8RawvXv3IiwsDJmZmTAzM0N0dDRyc3Px22+/YcOGDTA1NUVERASUlJTw4MEDNrhmZ2djwoQJeP36NSwsLPD69WuoqKjAx8cHGhoatW5PfbcvbD8iIiKQl5cHfX19JCQkIDk5GXfv3oWRkVED9yIhhBDSsCg+E9J2UeJNSBvx9u1bvHjxAp07d0ZRURE6d+6MxYsX48WLF9DV1UVeXh50dXVx5swZTJs2DQDwww8/QFpaGm/fvgWXy0VpaSnGjx+PFStW4OjRo42+fWFev36NkJAQGBkZgWEY2NnZYceOHTh48OCXdA8hhBAiEhSfCWkbKPEmpI1wcHBA586dAQBSUlLo2bMnZGVl2cFN5OTk0L17d7x58wYAwOPx4OnpicWLF8Pb2xsMw4BhGGhpacHHx6fRt19dPeVnzzkcDgYNGoTAwMA6t4cQQghpDig+E9I2UOJNSBtRcfRSKSkpofMKCwsBAJ8+fUJhYSFCQkIQGxsrUM7W1rbRt1+Vdu3a1XkdQgghpLmi+ExI20CJNyFEKAUFBQDAnDlz8PXXX4u4NYQQQggBKD4T0lLVbehDQkiboaKigj59+uDgwYNgGEZgWUJCgohaRQghhLRtFJ8JaZnoijchpEp///03HB0d4ejoiAkTJqCgoAA3b96EiYkJ/vzzT1E3jxBCCGmTKD4T0vJQ4k1ICzZ27FiYmZlVmm9lZYWcnBx22sbGptK7PQcMGMDerlbOzs4O2tra7LSFhQVevXqFo0eP4uHDh1BXV8cPP/wAJyenatv15s0bnDp1CkOHDoWKikq9t1+b/TAzMxN4l+jz58/x+vVreq6MEEKIyFB8pvhMSEUcpuI9KoQQ8gW2bduGZ8+eAQC2bNkCAwODJt2+h4cHO6rrggULMGDAgCbdPiGEENIcUXwmRLQo8SaEEEIIIYQQQhoRDa5GCCGEEEIIIYQ0Ikq8CSGEEEIIIYSQRkSJNyGEEEIIIYQQ0ogo8SaEEEIIIYQQQhoRJd6EEEIIIYQQQkgjosSbEEIIIYQQQghpRJR4E0IIIYQQQgghjYgSb0IIIYQQQgghpBFR4k0IIYQQQgghhDQiSrwJIYQQQgghhJBGRIk3IYQQQgghhBDSiP4PC1FEKIVHiugAAAAASUVORK5CYII=", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "t = np.linspace(0, 3600, 121)\n", "fig, axes = plt.subplots(1, 2, figsize=(10, 4))\n", "for option, style in [(\"constant\", \"--\"), (\"Gnielinski\", \"-\")]:\n", " model = pytes.SharpFrontModel(options={\"heat transfer coefficient\": option})\n", " for factor in (1, 0.25):\n", " parameter_values = model.default_parameter_values\n", " parameter_values[\"Mass flow rate [kg.s-1]\"] *= factor\n", " solution = pybamm.Simulation(model, parameter_values=parameter_values).solve(\n", " [0, t[-1]], t_interp=t\n", " )\n", " h = solution[\"Heat transfer coefficient [W.m-2.K-1]\"].entries[0]\n", " label = f\"{option}, {factor:g} x flow (h = {h:.0f} W/m2/K)\"\n", " time = solution[\"Time [min]\"].entries\n", " axes[0].plot(\n", " time, solution[\"Outlet temperature [degC]\"].entries, style, label=label\n", " )\n", " axes[1].plot(time, solution[\"Power [kW]\"].entries, style, label=label)\n", "axes[0].set_ylabel(\"Outlet temperature [°C]\")\n", "axes[1].set_ylabel(\"Power [kW]\")\n", "for ax in axes:\n", " ax.set_xlabel(\"Time [min]\")\n", "axes[0].legend(fontsize=8)\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "5981e19e", "metadata": {}, "source": [ "In the packed bed of Nallusamy et al. (2007), the Wakao and Kaguei correlation gives about\n", "150 W.m-2.K-1, against the constant 100 of the default set, and fits the measured fluid\n", "temperature slightly better." ] }, { "cell_type": "code", "execution_count": 4, "id": "74526c77", "metadata": { "execution": { "iopub.execute_input": "2026-10-23T17:48:31.014779Z", "iopub.status.busy": "2026-10-23T17:48:31.014576Z", "iopub.status.idle": "2026-10-23T17:48:34.875603Z", "shell.execute_reply": "2026-10-23T17:48:34.874841Z" } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "t_end = 160 * 60\n", "t = np.linspace(0, t_end, 321)\n", "t_data, T_data = np.loadtxt(\n", " \"data/Nallusamy2007_HTF_1L.csv\", delimiter=\",\", skiprows=1, unpack=True\n", ")\n", "fig, ax = plt.subplots(figsize=(6, 4))\n", "for option in (\"constant\", \"Wakao-Kaguei\"):\n", " model = pytes.PackedBedModel(options={\"heat transfer coefficient\": option})\n", " solution = pybamm.Simulation(model).solve([0, t_end], t_interp=t)\n", " h = solution[\"Heat transfer coefficient [W.m-2.K-1]\"].entries[0]\n", " ax.plot(\n", " solution[\"Time [min]\"].entries,\n", " solution[\"Outlet temperature [degC]\"].entries,\n", " label=f\"{option} (h = {h:.0f} W/m2/K)\",\n", " )\n", "ax.plot(t_data, T_data, \"ko\", markersize=3, label=\"measured\")\n", "ax.set_xlabel(\"Time [min]\")\n", "ax.set_ylabel(\"Outlet temperature [°C]\")\n", "ax.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "48ccc61d", "metadata": {}, "source": [ "Under an experiment that adjusts the flow rate, such as a constant power discharge, the\n", "coefficient follows the flow." ] }, { "cell_type": "code", "execution_count": 5, "id": "fd2d5ea7", "metadata": { "execution": { "iopub.execute_input": "2026-10-23T17:48:34.877136Z", "iopub.status.busy": "2026-10-23T17:48:34.876994Z", "iopub.status.idle": "2026-10-23T17:48:35.666021Z", "shell.execute_reply": "2026-10-23T17:48:35.665052Z" } }, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "model = pytes.SharpFrontModel(options={\"heat transfer coefficient\": \"Gnielinski\"})\n", "experiment = pytes.experiments.Experiment(\n", " [pytes.experiments.step.Power(4000, inlet_temperature=283.15, duration=1800)]\n", ")\n", "solution = pytes.experiments.run_experiment(model, experiment)\n", "fig, axes = plt.subplots(1, 2, figsize=(10, 4))\n", "time = solution[\"Time [min]\"].entries\n", "axes[0].plot(time, solution[\"Mass flow rate [kg.s-1]\"].entries)\n", "axes[0].set_ylabel(\"Mass flow rate [kg/s]\")\n", "axes[1].plot(time, solution[\"Heat transfer coefficient [W.m-2.K-1]\"].entries)\n", "axes[1].set_ylabel(\"Heat transfer coefficient [W/m2/K]\")\n", "for ax in axes:\n", " ax.set_xlabel(\"Time [min]\")\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "5f64ab0e", "metadata": {}, "source": [ "## A correlation of your own\n", "\n", "A correlation is only its Nusselt number: the family supplies the geometry (here the tube\n", "diameter, and the mean velocity in a tube) and the fluid-property object the properties.\n", "`register_correlation` adds a function of the Reynolds and Prandtl numbers, as PyBaMM\n", "symbols, as a value of the option for the models of its flow geometry, `\"tube\"` or\n", "`\"packed bed\"`. PyTES adds its own correlations the same way. `replace=True` lets the cell\n", "run again.\n", "\n", "Here the Dittus-Boelter correlation, for a fluid being heated, is compared with Gnielinski\n", "at four times the default flow, where both apply ($Re > 10^4$).\n", "`conformance.check_model` (in `pytes.conformance`) runs the contract on the model, energy conservation\n", "included, and returns its solution." ] }, { "cell_type": "code", "execution_count": 6, "id": "745db365", "metadata": { "execution": { "iopub.execute_input": "2026-10-23T17:48:35.667522Z", "iopub.status.busy": "2026-10-23T17:48:35.667391Z", "iopub.status.idle": "2026-10-23T17:48:39.216486Z", "shell.execute_reply": "2026-10-23T17:48:39.215417Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "HeatTransferCoefficientOptions('tube'): ['constant', 'Gnielinski', 'Dittus-Boelter']\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "Gnielinski: Re = 16977, h = 12813 W/m2/K\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "Dittus-Boelter: Re = 16977, h = 12106 W/m2/K\n" ] } ], "source": [ "from pytes import conformance\n", "\n", "\n", "def dittus_boelter(Re, Pr):\n", " return 0.023 * Re**0.8 * Pr**0.4\n", "\n", "\n", "pytes.submodels.register_correlation(\n", " \"Dittus-Boelter\", dittus_boelter, flow=\"tube\", replace=True\n", ")\n", "print(pytes.SharpFrontModel.allowed_options[\"heat transfer coefficient\"])\n", "\n", "for option in (\"Gnielinski\", \"Dittus-Boelter\"):\n", " model = pytes.SharpFrontModel(options={\"heat transfer coefficient\": option})\n", " parameter_values = model.default_parameter_values\n", " parameter_values[\"Mass flow rate [kg.s-1]\"] *= 4\n", " solution = conformance.check_model(model, parameter_values)\n", " Re = solution[\"Surface Reynolds number\"].entries[0]\n", " h = solution[\"Heat transfer coefficient [W.m-2.K-1]\"].entries[0]\n", " print(f\"{option}: Re = {Re:.0f}, h = {h:.0f} W/m2/K\")" ] }, { "cell_type": "markdown", "id": "ef2a22cf", "metadata": {}, "source": [ "A law that is not a Nusselt correlation, such as a wall resistance in series or a\n", "nonlinear law, goes to the coupling through the composition API instead (see [composing models](composing_models.ipynb))." ] } ], "metadata": { "kernelspec": { "display_name": "pytes (3.14.4)", "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": "3.14.4" } }, "nbformat": 4, "nbformat_minor": 5 }