{ "cells": [ { "cell_type": "markdown", "id": "b6955283", "metadata": {}, "source": [ "# Tutorial 2: finned-tube models\n", "\n", "A finned-tube heat battery is a block of phase-change material (PCM) crossed by parallel\n", "tubes that carry the heat transfer fluid (HTF), usually water. Thin metal fins (annular\n", "discs around each tube) carry the heat into the PCM, which conducts poorly on its own.\n", "\n", "All the tubes are the same, so the models describe one tube and the storage around it, and\n", "multiply the device totals by the number of tubes. Around a tube of radius $R_f$ and length\n", "$Z$, the storage reaches out to a radius $R_f + D$, about half the distance to the next\n", "tube, where no heat crosses by symmetry. The positions are\n", "\n", "- $z$, along the tube from the inlet,\n", "- $y$, the distance from the tube axis, from $R_f$ to $R_f + D$,\n", "- $x$, across the gap between two fins (only in the mush model).\n", "\n", "The [Finned tube](https://pytes.readthedocs.io/en/latest/models/finned_tube.html) page of the documentation describes the geometry, the equations and the options of these models in full, with a sketch of each." ] }, { "cell_type": "code", "execution_count": 1, "id": "023b8987", "metadata": { "execution": { "iopub.execute_input": "2026-10-30T17:50:47.639443Z", "iopub.status.busy": "2026-10-30T17:50:47.639216Z", "iopub.status.idle": "2026-10-30T17:50:49.121900Z", "shell.execute_reply": "2026-10-30T17:50:49.120666Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Number of tubes: 1\n", "Tube length [m]: 10\n", "Tube radius [m]: 0.003\n", "Storage depth [m]: 0.02\n", "Fin thickness [m]: 0.0002\n", "Fin pitch [m]: 0.003\n" ] } ], "source": [ "import time\n", "\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "import pybamm\n", "\n", "import pytes\n", "\n", "parameter_values = pytes.SharpFrontModel().default_parameter_values\n", "for name in [\n", " \"Number of tubes\",\n", " \"Tube length [m]\",\n", " \"Tube radius [m]\",\n", " \"Storage depth [m]\",\n", " \"Fin thickness [m]\",\n", " \"Fin pitch [m]\",\n", "]:\n", " print(f\"{name}: {parameter_values[name]}\")" ] }, { "cell_type": "markdown", "id": "d0a1963d", "metadata": {}, "source": [ "## The equations\n", "\n", "The fluid carries its specific enthalpy $h$ along the tube and gains heat from the wall:\n", "\n", "$$\n", "A \\rho \\frac{\\partial h}{\\partial t} + \\dot m \\frac{\\partial h}{\\partial z} = q',\n", "$$\n", "\n", "where $A$ is the flow area of the tube, $\\dot m$ the mass flow rate in it and $q'$ the heat\n", "the fluid gains per unit length of tube. Inside the storage, heat is conducted by the\n", "enthalpy method: the enthalpy per unit volume $H$, which includes the latent heat, evolves as\n", "\n", "$$\n", "\\frac{\\partial H}{\\partial t} = \\nabla \\cdot \\left( k \\nabla T \\right),\n", "$$\n", "\n", "with the temperature $T(H)$ and the conductivity $k$ given by the material. At the tube wall\n", "the heat flux from the fluid into the storage is $h_c (T_f - T_s)$, with $h_c$ the heat\n", "transfer coefficient, $T_f$ the fluid temperature and $T_s$ the storage temperature at the\n", "wall. The two models of this family differ in how they treat the fins.\n", "\n", "**Sharp-front model** (`pytes.SharpFrontModel`). The PCM and the fins are homogenised into\n", "one composite material, with volume-averaged heat capacity and conductivity. Heat is\n", "conducted radially, in $y$, at each point $z$ along the tube: a two-dimensional model.\n", "\n", "**Mush model** (`pytes.MushModel`). The fins and the PCM are resolved separately. Heat flows\n", "from the fluid into the fin roots, radially along the fins (in $y$), and from each fin into\n", "the PCM on either side (in $x$), at each point along the tube: a three-dimensional model.\n", "\n", "Each model is a fixed composition of submodels, which you can inspect:" ] }, { "cell_type": "code", "execution_count": 2, "id": "30b979d9", "metadata": { "execution": { "iopub.execute_input": "2026-10-30T17:50:49.123678Z", "iopub.status.busy": "2026-10-30T17:50:49.123377Z", "iopub.status.idle": "2026-10-30T17:50:49.276266Z", "shell.execute_reply": "2026-10-30T17:50:49.274824Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Sharp front model\n", " fluid: AdvectedFluid\n", " storage: EnthalpyStorage\n", " coupling: WallCoupling\n", " device energy: DeviceEnergy\n", "Mush model\n", " fluid: AdvectedFluid\n", " storage: EnthalpyStorage\n", " fins: EnthalpyStorage\n", " coupling: FinRootCoupling\n", " fin-PCM coupling: FinStorageCoupling\n", " device energy: DeviceEnergy\n" ] } ], "source": [ "for model in [pytes.SharpFrontModel(), pytes.MushModel()]:\n", " print(model.name)\n", " for name, submodel in model.submodels.items():\n", " print(f\" {name}: {type(submodel).__name__}\")" ] }, { "cell_type": "markdown", "id": "c6949344", "metadata": {}, "source": [ "`model.print_submodel_info()` lists, for each submodel, the variables it needs and\n", "provides, its parameters and its assumptions. To build a model from submodels of your own choice, see [composing models](../composing_models.ipynb).\n", "\n", "## The melting front\n", "\n", "Both models start with the default discharge: the battery uniform at 70 °C, with water at\n", "10 °C flowing in. The liquid fraction in the storage shows the PCM solidifying, first near\n", "the tube and the inlet, then outwards and along the tube." ] }, { "cell_type": "code", "execution_count": 3, "id": "5ed6b354", "metadata": { "execution": { "iopub.execute_input": "2026-10-30T17:50:49.277968Z", "iopub.status.busy": "2026-10-30T17:50:49.277776Z", "iopub.status.idle": "2026-10-30T17:50:50.612040Z", "shell.execute_reply": "2026-10-30T17:50:50.610359Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sharp_front = pytes.SharpFrontModel()\n", "t_eval = np.linspace(0, 3600, 121)\n", "solution = pybamm.Simulation(sharp_front).solve([0, 3600], t_interp=t_eval)\n", "\n", "liquid_fraction = solution[\"Liquid fraction\"]\n", "y = liquid_fraction.mesh.nodes\n", "z = solution[\"Heat transfer fluid temperature [K]\"].mesh.nodes\n", "\n", "fig, axes = plt.subplots(1, 3, figsize=(12, 3), sharey=True, layout=\"constrained\")\n", "for ax, minutes in zip(axes, [10, 25, 40], strict=True):\n", " field = ax.pcolormesh(\n", " z,\n", " 1e3 * y,\n", " liquid_fraction(t=60 * minutes, y=y, z=z),\n", " vmin=0,\n", " vmax=1,\n", " shading=\"gouraud\",\n", " )\n", " ax.set_title(f\"{minutes} min\")\n", " ax.set_xlabel(\"Distance along the tube [m]\")\n", "axes[0].set_ylabel(\"Distance from the tube axis [mm]\")\n", "fig.colorbar(field, ax=axes, label=\"Liquid fraction\")\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "8976713f", "metadata": {}, "source": [ "## Resolved or averaged along the tube\n", "\n", "By default, the storage is resolved at every point along the tube, so a model captures how\n", "the fluid cools as it passes the warm PCM, and how the solidification front moves along the\n", "tube. With the option `\"storage along flow path\": \"averaged\"`, one storage cross-section\n", "stands for the average along the tube instead, and exchanges heat with the fluid averaged\n", "along it. That removes one dimension: the sharp-front model becomes one-dimensional, and the\n", "mush model two-dimensional.\n", "\n", "Below, each model runs in both forms. The resolved mush model uses a coarser mesh than its\n", "default, so that it solves in a few seconds; its default mesh gives the same outlet\n", "temperature to within 0.2 K." ] }, { "cell_type": "code", "execution_count": 4, "id": "64f5be96", "metadata": { "execution": { "iopub.execute_input": "2026-10-30T17:50:50.614907Z", "iopub.status.busy": "2026-10-30T17:50:50.614667Z", "iopub.status.idle": "2026-10-30T17:50:57.248688Z", "shell.execute_reply": "2026-10-30T17:50:57.247206Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "sharp front, resolved 0.75 s\n", "sharp front, averaged 0.18 s\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "mush, resolved 3.74 s\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "mush, averaged 1.62 s\n" ] }, { "data": { "image/png": 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x6awlwxEEQRAEixIJRTH5OBoTilsexoQi7/oNS4YjCIIgCBYlEopi8nP2ACDK+B90GTkWjEYQBEEQLEskFMXkpLJDMlixt7aMrHXL8fntuKVDEgRBEASLEQlFMclkMuSSHWqVjBiFeBsFQSh9hw4dok+fPpYOI5+bN2/yxhtv0KNHD+bMmWPpcIQC/Pjjj3z4Yemu6iwWtnoECuzRkUFc1u0NavQ6sVGYIAilJj4+np07d1o6jHz69+9PcHAwr732Gv7+/qVe3zfffENGRgYffPBBqdf1pLhy5UqRNk4rDvHp9wisZfboAM/1a4n8aDKudWxx+uKgpcMSBEEoM1qtlhMnTvDVV1/RsmXLMqnzwoULJCUllUldQuGJhOIR2CgcyZEgL0tNTmQuCkMKTulR4Oxn6dAEQXhMSZLEypUr2bFjB3q9njZt2vDKK6+gUChM11y9epVFixYRGRlJ7dq1mTRpEnZ2xkVxIiMjGT16NAAqlYrg4GDGjh1rthPloUOH+Pzzz5k1axZz587l1q1bLFiwgJiYGD7//HOmT5/O4sWLiYyM5JlnnmHixInY2trmi/Xs2bO8/fbbGAwGJk2ahLOzMzNmzCAvL6/A8gMDAzly5AhLly4lPj6ekJAQ3njjDQICAkxlzpkzB4PBQLVq1fjjjz/IysqiZ8+eDB48GIAVK1awdetW8vLy6Nq1KwCfffYZ9erVe+D7umbNGn766ScAnJ2dadCgAePHjze9b/v27eOrr77it99+M9tZdc2aNezatYulS5cCEBYWxvfff094eDj+/v689NJLNGjQIF/8VapUYd26ddja2rJ06dKH1n/H9u3b+emnn7CysqJdu3ZIksT169eZPn266ZqHxQCwa9cufvzxRxQKBe3atXvge1NSROf/I7BTOAJwNtSYQGTHqjCc22TJkARBKIy87Ps/tOoiXJv78GuLaM6cOUyePJlWrVrRp08fzp49y7vvvms6r1ar6d27N1WrVqVfv36sXbuW4cOHm867u7vz1ltv8dZbb/HSSy+h0+moV68e4eHhpmvi4+PZvHkzPXv2pE6dOowfPx53d3fT8S5duhAcHEzv3r1Zvnw5L7zwQoGx+vn5MW7cOACef/553nrrLQIDA+9b/u7du2nVqhUODg4MHjyYsLAwGjRoQGxsrKnMc+fOMX36dL777js6dOhAo0aNeOWVV1i1yrgBY7NmzahduzYhISGm11mYbpYmTZqYrn/uuefYunUr7du3586G23Xq1GHbtm3s2LHD7L6vvvoKNzfjMgHHjh2jSZMmWFlZMWzYMCpUqEC7du3M7rkT/zfffEOvXr0YMWJEoeoH2LJlCz169KBSpUo8++yz/PLLL7z11lscP3530H9hYti+fTvdunUjICCA7t27s2bNGhYsWPDQ9+iRSU+B9PR0CZDS09NLtNwBv74n1VpeS+q3+j3pSuMG0sXQalLmx+1KtA5BEIonNzdXunjxopSbm5v/5BSn+z9W9je/dnqF+1+7rLv5tbMr57+miLp06SJ9/PHHZsfS0tIkSZKkDRs2SIB07Ngx07k///xTUigUklarvW+Zffv2lSZOnGh6fqecPXv2mF135/i6detMxy5duiTJZDLp0KFDBZadmZkpAWbn71d+w4YNpdGjR5ueGwwGqXbt2tK4ceNMx4YPHy5VqlRJysvLMx179dVXpV69epmejx49WurXr999X29hZGdnSw4ODtK+fftMx/r27SsNHjzY9PzKlSsSIJ0+fVqSJElq2rSpNG3aNLNyZsyYITVt2tQs/goVKhT87+4h9derV0968803Tc/z8vIkPz8/qUuXLqZjhYmhQYMGZuVoNBrJx8fHrJz/etDvS2E/Q0WXxyNwVjlDDmTqs3Bs24a0TX+RdTIMh+xksHe3dHiCIDyGmjZtyuLFi/Hx8aFLly5UqlQJZ2dn03lra2saNmxoel65cmX0ej0JCQn4+PgAcPDgQdasWUNUVBRqtZqrV6+i0+nM6lEoFPcd89C9e3fTz9WqVSM4OJjDhw/TtGnTQr+O/5afl5fHqVOnmDZtmumYTCajV69ebN++3ezeRo0aoVQqzV7jow4o1Gq1rF69mr1795KQkIBer0eSJMLCwmjVqhUAQ4YM4cUXXyQ7Oxt7e3tWrVpFrVq1qFu3LpmZmRw5cgRJkjh69CiSJCFJEvHx8Vy7ds2srsaNG2NjY1Ok+jUaDWfOnGH27Nmme5RKJZ06dSImJgagUDFoNBpOnz7NrFmzTOVYW1vTuXNns5ag0iASikfgqjL+kufoMnDoMoK0TX+RGa3C+/KfyBoOs3B0giDc1/sx9z8nU5g/nxT2gGv/02v81rnix3Tbxx9/TFBQEOvXr+e9996jYsWKzJ8/n44dOwLGDxmZTHY3hNs/GwwGADZt2sQLL7zA//73P9q0aYOjoyOLFy8mPT3drB4bGxuzsQJ3WFlZ5Rsv4eTkRGpqapFex3/LT09Px2AwmCVHYBxPkJKSYnbM2tra7LlMJjO9vuIaPXo0Bw4cYPz48QQEBKBSqTh79izZ2Xe7pZ599lmsra3ZuHEjQ4YMYfXq1bzyyisAZGRkIEkSffv2pU6dOmZly+Xm/w4cHR2LXH96ejqSJOHk5GR2n5OTkymhKEwMd97ngsoRCUU55mbnAoDGkIV9s6bIlAp0OaD5Zx02IqEQhPLL2t7y196HXC5n2LBhDBs2DJ1Ox3vvvceQIUOIj48v1P2rV69mxIgRfPrpp6ZjixYtKnT9Op2OmzdvEhgYaHoeERFBpUqVivQ6/svT0xMHBweuXbtm1nJx9epVKleuXKSy7k2oCsNgMLB27Vo2bNhAly5dAOM3+f8mSSqViv79+7Nq1SqqVKlCeHi4aTCol5cXdnZ2KJVK02DQkqz/Tvnh4eFmLUH3jn0pTAxeXl7Y29vnKycs7AGJcQkRgzIfgZedKwB5UhZyW1sc27bAsZojBJXNiFpBEJ48ixYtMn3QWFlZmbo0CsvOzo7r16+bBvvt37+fLVu2FCmG6dOnm+7/9ttv0Wq19OrVq0hlFGTo0KHMnTuXtLQ0AC5dusTatWsZNqxoX8A8PT2Ji4szO3b27Fm6du3K9evX810vl8uxsbEx+3CeMmUKarU637VDhw5l586dfP3117Rp08Y04FOpVPLSSy/x+eefc+XKFdP1MTExrFy58oHxFrb+F154gXnz5plaLU6cOMG2bdtM5wsbw+DBg/n666/JysoC4PDhw/m6lUqDaKF4BN63dxzVY9zHw/ebwn8LEARBKIgkSdSqVQtfX1/A+M2yKCP033nnHTp06EBoaCguLi7cvHmzSGMfbGxsSExMpGrVqjg4OHD58mWWLFmCu/ujjwubMWMGvXv3pkqVKlStWpUzZ84wePBgXnzxxSKVM2DAAObNm0fjxo1xc3Pjs88+IyIign/++Qd7+4JbiWbPns348eNZuXIliYmJuLq6UrFixXzXtW7dmooVK/LLL7+wZMkSs3NffvklmZmZ1KtXj9q1a6NWq8nOzuaLL754aMyFqX/GjBl06tSJoKAggoKCiImJoXnz5mZdR4WJYfr06XTq1Ing4GCCgoKIjo42jRMpTTJJumfOyhMqIyMDZ2dn0tPT8/UrPYpTsWEM29EHyWDN2eHHkcvvaYbTZIGVjVg5UxAsRK1Wc+PGDSpXrpxvgFx5p1arOXfuHJIkUbNmTdOHZEJCAmfPnjWNpwDIzs5m//79tGvXDpVKBUBOTg6nT59GJpNRt25doqKiyMjI4JlnnrlvOQAbN25k6NChZGVlcePGDSIjI6lVqxYeHh73jVWv17Nz506aNWtmGh9xv/LvuHjxInFxcYSEhOSb8nnndd87RuDGjRvExcXRrFkz07H09HQuXLhARkYGjRo14sMPP8TNzY0ZM2bcN9bY2FiuXLmCu7s7tWrV4uDBgwQEBJitgwFw5swZYmNjadWqVYEJSnx8PJcuXcLDw4Nq1aqZfeAXFH9R6tfr9Rw/fhylUkmNGjUYPnw4Dg4OpnUwChNDQeXcvHmTzMxMswG993rQ70thP0NFQvEIErNTaf9bawD29D+Mx+1/eJrwMKRNE7DxkEP/H8HOrcTqFAShcB7nhMJS7k0oHjdHjhyhVq1a922heBzcvHmT+Ph4GjVqBMDJkydp3rw5K1eupH///qVad0kkFOLr8yNwt3NGkmTIZBJRaSl42NuT8vNK4mfMwN5HS0DrRFjSAQatBc9QS4crCILwxGrSpImlQ3hkjo6ODBo0iMzMTFQqFefOnWP8+PGlnkyUFJFQPAK5TI5MsgVZDjGZSdTDH/sWzUEmIztGSa7GH9uU67C4Awz9DQIK348pCIJQ1po3b87GjRstHcZTy9XVlQMHDnD16lWSk5MJDQ0tkbErZUXM8nhECsnYvBaXZRyVrQoKwvn2aOiEyFpI/s0gLxNWDYDYMxaLUxAE4WG8vLzuO+5BKBsymYzQ0FCaN2/+WCUTIBKKR2YtMyYUiTl35xN7vvUmMpWKnJNnyPJ7AwKagyYDfu4LSdfuV5QgCIIgPLZEQvGIVHLjimgpOWmmY8qKFXG7vSFMwtffIA1YCRXrgk4NWQkWiFIQBEEQSpdIKB6RndXthEJtvqyt+6uvoHBzIy8igtRN22Do7zDiT6jUwhJhCoIgCEKpEgnFI7JXGhOK9DzzhELh4IDn+NdReHqgcHYGew/wqXf3guv/wJlfyjBSQRAEQSg9YpbHI3K2doZcyPxPQgHgMmAAzr16If/vvOiMWFg3AnJTIOYUdJ4uFsASBEEQHmuiheIRudrc2XE0M985mZWVWTJhyDEu0Y2DNzQy7mDHke/hj9fhEXfSEwRBeBTh4eFFWuK7vNm7dy+bN28u9XoOHjwoptbeh0goHpGbrQsAasODV5bL2LGDsA4dyT1zBuRyaP8BDFhu3Cr5zBrYPhme/EVLBUEop86dO8c777xj6TCK7bfffsu3PHVp2Lx5MwsXLiz1eh5HIqF4RJ53dhx9WELx51b0qalEvTUB3Z0ta2v2gd63vxEcWQj/fF6aoQqCIAhCqSkXHfe7d+9m9+7d2NnZMXjwYCpVqmR2PjY2lpUrVxIfH0/t2rUZPHgwSqXSMsH+x50dR3VkP/C6ijOmo7l8mbzISKLfmoD/gu+M3SF1X4DcNNj2LuydCZ5VjYmGIAhPpfDwcLZv385LL73E/v37uXHjBvXq1aNJkybk5uaybds2kpOTadGiBdWrVzfdd+HCBY4cOcLIkSNNx2JiYvj1118ZP348CoUCgOjoaPbu3Yter6dFixYEBweb1a/Vatm7dy+RkZHUrl27SEta34n95Zdf5q+//uLWrVsMHjwYd3d39Ho9u3fvJjw8HH9/f9q1a4ednZ3Z/ceOHePs2bO4u7vTrl0702ZjYNzwbNu2bcTHxxMSEkKHDh2QyWT/DcH0Xuzfv58xY8aYHT916hTHjx/n1VdfBShUTKmpqWzZsgWFQmG2OZmQn0VbKPR6PYMGDWLw4MFIkoQkSfTp04eLFy+arrl69Sq1a9dmz549ODo6MmPGDDp37oxer7dg5HdVdDS2UEjyHB60z5rCwQHf+fOQ2dmRc+QIkS+NvNtS0XQMtJ0MIV2gateyCFsQhHLq3LlzTJgwgWeeeYYffviBvXv30qJFC95//32eeeYZ1qxZw/bt26lfvz47d+403Xfo0CE++eQTs7KuX7/OhAkT0Gq1AGzbto3Q0FDWr1/PP//8Q69evfjhhx9M12u1Wlq0aMGCBQtMO5jOnj27yLG3aNGCZcuWER4ejlarJSkpiSZNmjBp0iROnjzJZ599Rp06dbhx44bp3jfeeINnn32WgwcPsnr1apo3b86FCxcAiIiIoEaNGkybNo2jR4/y0ksv0bZtWzQaTYFx2NjYMHbsWE6fPm12fOrUqezduxegUDGFhYVRvXp15s2bx44dO2jbti1//fVXod+Pp45kQV999ZXk4OAgXb9+3XQsKytLSkhIMD3v3bu31KZNG8lgMEiSJEm3bt2SrK2tpZ9++qnQ9aSnp0uAlJ6eXnLB33YrLV6qtbyWVPPH2lJajvqh1+ecPi1dadxEuhhaTQrr2k3Ki442njAYJEmnvXuhOkOStr0vSTkpJR6zIDwNcnNzpYsXL0q5ubmmYwaDQcrOyy7zx52/X4WxYcMGCZBWrVplOjZx4kQJkH7//XfTsVGjRkldunQxPV+8eLEUGBhoVtb+/fslwPQe9OzZU5o4caLpvE6nkw4dOmRW788//2w6v3TpUsnBwaHQ8d8pY8GCBWbHBw0aJL3wwgtm5bz00ktSnz59JEmSJI1GI1lZWUn79u0znY+Li5OuXbsmSZIk9evXT2rTpo2Ul5cnSZIkxcfHSx4eHtKXX35pun7cuHHSc889Z3retGlT6e233zY9T05OlpRKpbR169ZCxSRJktS3b1+pS5cukl6vlyRJkm7cuCHZ2tqave9PioJ+X+4o7GeoRbs8FixYwJAhQ6hcubLpmL29vWn7Wa1Wy19//cX8+fNNTVt+fn60bduWTZs2MWzYMIvEfS8vexcAZDKJmIwUnG0rPvB627p1CVy9ipuvvErejRuk/bYezzfGg0xmPnX0n8/h0LdwYYNxnEVQ29J7EYLwlMjV5dJkddnvSnlk8BHslHYPv/A2hULBgAEDTM/r1auHSqXiueeeMzu2Z8+eIsXh4eHBsWPHiIyMJDAwEIVCQdOmdzctVCgUPP/886bnjRo1Iisri8TERLy8vApdz71/m/Py8vj9998ZPnw43333nak1WpIkDh48CIBSqcTZ2Zm//vqL+vXr4+DggLe3N97e3kiSxJ9//sny5ctNXd1eXl4MHjyYP/74g7fffrvAGIYOHcrMmTP5/PPPkcvl/Prrr7i6utKpU6dCxWQwGNiyZQtr1qxBLjc25leqVIlnn32WzMz8s/oEC3Z5ZGRkEBYWRosWLVi7di2TJk3i66+/JioqynTNzZs30Wg0ZgkHQFBQENeu3X9PDI1GQ0ZGhtmjtFhbWYNBBUB0Rkqh7lEFB1Np9SrcX30Vj9fHmY5L93aZhHYHt2DIiIYVz8G290GrLtHYBUEon2xsbMzGiSmVShwcHEwfbHeO5eXlFancWbNm4efnR61atahWrRoTJ04kLi7ugfUCRarn3i+FAImJiWg0GtLS0ggLCyM8PJzr16/j7OzM0KFDAeOGWBs2bGDv3r14enrSsmVLvv32W3Q6HQkJCajVavz8/Mzq8ff359atW/eN4/nnnychIcHUxbFq1SpeeOEFrKysChVTYmIieXl5+Pr6mpX73ziEuyzWQnHnQ37WrFmEhITQokULDhw4wIcffsiOHTto0aIFubm5gHGP+Hs5OTmRc2dNhwLMmjWLadOmlV7w/6GQ7NCjITazcAkFGPf78Hp7oum5ITeXyGHDcenbB+fnnkMe2AzG7IftH8CJH+Hwd3B5s3H9ivovgp1babwUQXii2VrZcmTwEYvUW9qsrKzyjS3LzjYfLO7t7c3q1avR6XQcOXKEjz76iO7du3Py5MlSi8vFxQW5XE7Pnj1NH9YFadWqFf/++y/p6els376dN998k5SUFD744AOUSiWJiYlm1yckJFChQoX7lufh4UGXLl1YtWoVwcHBHDx4kK+++qrQMbm7u5uSj//WKxTMYi0Ud5IEX19fNm3axDvvvMP69etp164dH374IQAODg4ApKWlmd2bmpqKk5PTfcuePHky6enppseDstiSoFIYX8vOK+HFLiN19RrU584RN+0TrrVpS9zMmWiiE6DnXBj8K9h7QdpN2PkxHPquhCIXhKeLTCbDTmlX5o/7zUYoSf7+/sTFxZGcnGw6tnXrVrNrzp8/DxiTjxYtWvDaa69x6dKlBw4o/6/vv/+ew4cPF/p6e3t7OnTowPz58/O1dNwZdJmVlUVkZCQAzs7ODBw4kA4dOnDx4kUUCgVt2rTh559/Nt2Xm5vLr7/+SocOHR5Y95AhQ1i/fj3Lli0jJCSERo0aFTomKysrWrduzerVq03nUlNT872nwl0Wa6FwdnbGz8+P+vXrmx2vX78+K1euBCAgIAAHBwcuXbpE1653Zz9cunSJGjVq3LdslUqFSqUqncAL0KBCDQ7E3eRo8l+cvtWbev4uRS7DbdiLyJRKUlauRHvzJqkrfiZ1xc/Y1KiBY6eOuAz/B6uov+H4Mmg44u6NCZdAMoB3zRJ7PYIgPH7atGlDaGgoXbt2pU+fPpw5c4YTJ06YXfP5558TGRlJmzZtAPjxxx8ZOXJkoRMeSZKYNGkSU6dONRt78TALFy6kQ4cONGzYkD59+qBWq9mzZw9du3bl008/RaPR0KVLFxo0aEDt2rWJiopi/fr1bNiwAYA5c+bQunVrevToQePGjdm4cSM2NjZMmjTpgfU+99xzjBo1itmzZ/PBBx8UKSaA2bNn07p1a/r27UvdunX55ZdfzKayCuYsOm108ODB7N69G51OBxinkf7999+mJEMulzNgwACWL19u6v44ffo0//77r9nAIUub1HQsIEPpeJHJW7ZiMBR9xUuZUonbsBcJ3vYX/ot/wKFNG5DJUF+8SOI334KVDTR4EUbtQZOch/5Oq832D+D75rCyP5xaBTmF73YRBKH8CQ4OZty4cWbHQkND862pUKtWLbM1J6ysrPj3338ZNmwYubm5DBw40NR1YGVl/O64YsUKpk+fjlKpxMrKimXLlvHdd9/dt143NzfefPNNU4vyqVOnsLGx4eWXXy507GAc93bhwgUmTZpEXl4eXl5eLF682PTB7e7uztmzZ+nVqxdZWVlUrlyZs2fPmr5I1qlTh4sXL9K+fXuysrJ47bXXOHnypFlLdbt27ejZs6dZvXZ2dsyZM4cxY8YwfPjwIsUE8Mwzz3DmzBnq1q2LUqlkyZIlfPvtt/TpI9YKKohMKkpbVwnLzMyka9eupKWl0aRJE44fP05ubi47d+40LW6VkJBA27ZtAeOo5m3bttGnT58iLbGakZGBs7Mz6enpD+wqeRQTdr/Drlt/ocusxswWX9On/qMP3NElJ5O1Zw95kTfNxltEDB5C7unT2Navh6NnEo5Wx7F2MCZlyK2gcmvjehYhncAt6JHjEITHkVqt5saNG1SuXBkbGxtLh/NEOHDgAMnJyWazTYQnw4N+Xwr7GWrRhALurlQWGRlJQEAAbdu2xdra2uwajUbD9u3bTStlFqWpDcomobiZcZMeG3oiYUCV8Cb/vDECe1XJ9yhJOh03+g9Ac/my2XGVvxvOlXJxdr+Blc3tjcaqdISh6++5WTJOTxWEp4BIKASh8EoiobD40tsKhYJOnTo98BqVSkWvXr3KKKLiCXAKoGdQL/64vpFsu618t6cl73StVuL1yKysCNq4AW10NJm795C5axc5x4+juZVCwi3IbtKdgFcbQdgupJAuGDIzUTg6QmYcLOsC1XtC5bbg1xBsXUs8PkEQBOHpZPEWirJQFi0UAFGZUTy7oQcGSY/65hjWvDiIZyqV/vROXWoqGX/9RfrGTbi9+CLOPXsAoL54kRt9+6GqWhXH6q44qjejctHdbaTwCAW/Z8C3gbGLxFnMrxaeHKKFQhAKr0xbKF555ZUiBbdkyZIiXf8k8HP0o19IX9ZdXYfSYyvj11Rl6xttcLW3fvjNj8DK1RW3wYNxu70nyh2acOM0Vs3Vq2iuQhJeKN1ssPPIQ2WXipN/GMqkK3B6FTj53k0oUm5ARowx2bAqu9kygiAIwuOr0C0UMpms0DMrfvnllyLNay5tZdVCARCXHcdzG58jR5eDOr4bbbwHsnhYwzKZh14QXUoK2fv3k7FzJ9n7DyDds5lOwIxx2LumQ/QJsrxGkHXkDHbPNMROdwirk/ONAzzdQ8C7BnhVB4+q4F7F+F9F+djtVRDuR7RQCELhlemgTJlMVugkoSjXloWyTCgA1l9dz9RDU5EMCnIixvNhp/aMbFn54TeWMkN2NtlHj6K5fBn1pctU/PQTFLfnVMfP/pyUH380XigDG3cDdu45WDvqsHbUYeuRh1xxu6A3z4JroPHn6BOQlwNeNYyrd4pBn0I5IRIKQSi8Mu3y2Lx5c6EDK8q1T6K+IX3Ze2sve6P2YuPzC7O2eVI/wIX6AZYdBCm3t8exXTsc27XLd86hVUsw6Mk+dBjN1auok+SokxxM50M+aIZcHQnpt0jbcwJt1B/Y1q+HbcQPKML/MF5k4wIeIcY9SFwDwSUQ6gwUrRmCIAhPATEos5Qk5SbRd1NfUjWpaJLa4pT7HH+83gIfl9Jf0/9R6RITyT50iNzz58mLiECflEzl3+9OP701egxZ//xjfCIDlSuoHHJR2utQOuhxCcoxNlQorOGDeLizodGWCRB/wdhl4lUdPKsZ18lw9hNJh1DiRAuFIBRemU8bVavV/Pnnn/Tr16/A8+vXr+fZZ58Vv7yAh60HU5pN4a29b6Fy/4fUmyG8/JOK38Y0K5X1KUqSlacnzr164XyfqbqO3bqicHEh59QptDdvokkBTYoxUVI42OI6aiikRYIuj5jJk9ElJWNTozo2sYdRGa6gtD9yt/sEQCYH10ow/uTdLpPLf4I2FxwrgEMF439VDvliEQShZGRlZRETE0PVqlUtHcpjS61WExERQWhoqMXGzVlSkT7ZlixZQlhY2H0Tin379hEXF1fg0qtPow6BHXgu+Dk2hW/Czm81l2+48tYvtiwa2hC5/PH9x+bSuzcuvXsDoEtKIvfsWfIiItFGRRlbI1rdXdUz94fu5N24QfbBg7ePeIMMrByV2HoY8GuWAHoNICPn1Cnk9vYoff1Q7PsCYk6ZV2znAW6VjdNde9+zQVraTVDaga3b3dYQQRCKZNeuXQwdOpSsrCxLh/LYOn36NM2aNSM3N/ep/GJdpITip59+YtGiRfc9P3z4cMaMGSMSint82PRDrqVd42LyRez8f2bnpTF8ts2e97tXt3RoJcLKwwPH9u3ve97n89moL15CffEi6osX0YSFIeXmosvQovWvCR+chexEUKcTO/QN8m7vOKiwt8bapTIqZx0qu2xUTlnYeyVBTlL+/Up+eRFiT4NcCQ5exoe9Fzh4gkslaHPPBkKaLLC2F4NHBUEQSliREoqrV68+sDmsatWqXL169ZGDepLYWNkwr908XtjyAsnEYuOzjh/2DcZRZcX4DiGWDq/U2daujW3t2qbnkiShT0lBGxWFpNUaWxQcvcHRGytPT/Tp6ejT0tBn55GbDbnRADbY1GxA5Q8/gtQbIBmIfOkl0Omx8vLCKjYNlcIOaycd1rkxWGVE3w3AvYp5QvFTD0i4bBy34ewHjhWNCYhjBXD2h+o9yuy9EYSC3Nv1oNVqiYmJwcfHB6XSOM4oMzOT9PR0fH19zZrV09PTSUpKIjg42HQsNzeXyMjIfE3wycnJ6PV6vLy8CoxBp9MRFxdHxYoVUSgUBV5TkLy8PK5fvw4YVzj29/c3bUwGoNVqCQ8Pp3LlymY7Quv1eq5du0ZAQAB2dnaA8W9FVFQUDg4OuLqaD2i/9z3KysoiNjaWwEDjzLMH1f/fMtLS0vD19UWj0RTYVfGgGO7Izs4mNTUVX1/fQr9PT6oiJRR6vd60M2hB8vLy0Ov1jxzUk6aCfQXmtpvLyO0jwek8Bs3fzNkpx0ap4NXWT9fmXTKZDCt3d6zc3fOdC1z5MwD6zEy0t26huXGDvPBwNGHhKCtWBJ964FMPSZLIPfmp2Zoa4GL6ya5WMIGT+0NWIqgcSPl5JXI7W6w8PbG6Ho0VGhTaa8iSr5kH4B5inlAs7WxcstzJ5+7CX85+xsTD2Q8q1Cq5N0YQbtu1axeDBw9m6NChbNy4EYPBgEKhYM2aNaxevZqNGzciSRLu7u5s27aNoCDj35B169Yxffp0IiIiTGWdOHGCVq1amZrgIyIi6NevH2FhYTg4OODk5MSyZcto1qwZAAaDgXfeeYdly5ahUCjQ6/WsXbuWjh07Fir2yMhIet/uDlWr1cTHxzNu3Di++OILZDIZcrmctm3bMm3aNEaPHm26b+fOnfTq1YuYmBjs7Oz4448/GD9+PBqNhry8PIKDg/npp5+oUaOG2Xs0duxYli5dSoUKFUyzCx9U/x0zZ85k2rRpuLm5odVqGTJkCPPnzzfrqnhYDABffvklH374Ia6urqZynmZFSihq1qzJ1q1bGTx4cIHnt23bRs2aNUsksCdNPa96fNT0Iz7+92NUnn8j6e2YsRVUSjnDmlWydHjlisLREUWNGtjc84trRpLwX/wDuoREdAkJaGNjybtxg7zr19HGxKDwCYaGI25fKpHwal1jawhg/CdfAZmVFVau9tjX8KFi76qQFQcO3miu38DK3Q25kxOylOvG7pi0yPwxeFSF14/dff7rMFCng4O3MdlwrWR8uAQYW0HEiqPliiEn5/4nFQrk93x7fuC1cjnye/rKC7pWfvsbd1Hk5uZibW1NbGwsYPyQ7Ny5M2+++SYJCQno9Xq6du3KlClT+Pnnnwtd7ocffkhgYCCHDx9GqVRy7do19u7da0oocnNzyczMJC4uDisrK9566y1GjRpl+tb/MCEhIVy+Z+PCa9eu0bZtWxo0aMDgwYNRKBQ8//zzrFq1yiyhWLVqFV26dMHDw4NTp04xdOhQfvvtNzp37ozBYGDy5Mn079+fs2fPmloccnNzSUpKIjEx0dR6AzywfoD9+/fz0UcfsXXrVrp06cKtW7do3bq12esoTAyHDx/mvffeY8uWLXTt2pXIyMh85TxtipRQjBw5kgkTJlChQgXa/6fffPfu3UyYMIEZM2aUaIBPkj4hfYjNjuX7M99jU2EzSEo+3gRavcTL5WDhq8eFTC7HvnHjAs8ZcnMx5OaanktaLU7P9UKXkGBKQPQpKUg6HdrEdPS2zaDbZ8ZrDQau160HWi0yW1us3AOwcqmJlZMKpaMc2wpWOFXSQ/qt/NvCR/5rTD4K8t/kY89MMOiNLR+ulYwDTZ0DQFG+Z/88Sa40aHjfc/ZtWhNwz1ixqy1aIt3zb+pedo0aEfjzCtPzsA4d0aemml1T/fKlYsU4Y8YMU3dD79692bp1K9OnT0culyOXy+nVqxeLFy8uUpkZGRl4eXmZPoBDQkIICTHvev3ss89MH9pDhw5l3rx5pKen43x7EbzC0Gg0xMbGotfradu2LTt37jR9oA8dOpRvvvmGyMhIAgMDycnJYePGjabtGr799ltatWpFUFAQ165dQ5Iknn/+eT7//HMuXbpE7Xu6UD/77DOzZKIw9S9dupRu3brRpUsXAPz9/Zk4cSJvvPGG6f7CxLBo0SK6dOlC165dAQgMDOTtt9/mzTffLPT79KQp0l+wUaNGsXfvXjp06EC9evUIDQ1FkiSuXr3K6dOnGTJkCC+//HJpxfpEGFt3LLm6XJZfWI5NxQ1IBiWfboH4DDXvda32WM/+KA/ktrbIbe+u9SG3tsZn+nSza6S8PHRJSWhjY5Gp7vl2mZGB3M4OQ3o6Um4u2qhctFGxpvOOnTvjNHmesQyDgfDOXbDy9ETp44OVdTeU9gqs7PRYWWVhrUjGShsF6VHGxOFex5ZATrL5MZnC2K0S2Az6/nD3+I39oHI0Jh02hf+DLjze7O3tzT7A7e3tcXV1xfaef9v29vZFnpExefJk+vTpQ40aNejcuTPdu3enc+fO963XwcE4VTszM7NQCUVWVhYjR45k48aNeHp64ujoSGJiIg0b3k3gGjVqREhICGvWrOG9995j06ZNyGQy047SFy5cICwsjB49zMczhYaGkpJyd0C2jY0NFStWLHL94eHhphaZO/7bsl6YGMLCwvKVU6vW090NWqSEQiaTsXr1anr37s3q1as5c+YMMpmMkJAQJk+ezMCBA0srzieGTCZjYsOJ5Opy+eXKL9j5riNHpueHfZCQoebz/nWxthJTH0uTzNoapY8PSh/zD3qFiwuhRw5jUKuNLRqJiab/aqNjUFW/ux29LjEJ7c2baG/eJPfEiXx1OHbtit/cP0CSkPJySPhsNkp/P6x9fbHyex6ldTaKvATjINPUCNCpIf0mZAWbF/TrMMi9/UfU3uv2SqRBxq4U71pQrXtJvz1PhdCT+f+fmfxnEGLVgwfuf+1/pilX+XvXo4T1SApa9+C/Y96aNWvGrVu3OHDgALt372bYsGF07tyZFStW5Lu3OGbMmMHVq1eJiooyDfgcN24cV65cMbtuyJAhrFq1ivfee49Vq1bRr18/U7KkVCrp1asXy5Yte2BdBQ0WLUz9tra2qNVqs/ty/9MCVZgYCion50HdY0+BIrex3tkkrLAbhQn5yWQy3m/yPlqDlt+v/Y6tz29orVPZeLojcRlq5r9QHy+np28Oc3kht7HBOiAA64CA+16jcHWh0i9ryYuKQhcXZxzLEZ+ALj4ebXwc1n63R3zLZOjSsklZvjx/Pfb2WFWsgPOzL+ExpBekRyEhRxcdjVXFisgkg7FLRK4wdqdkJxgfkbfX9Ahub55QrB0C9p7GLhaPEOPDOUCszVGAooxrKK1rS5qnpyeJiYnodDpTl8Xp06fNrtFqtSiVStq1a0e7du2oU6cOQ4cO5aeffip0PdeuXcPV1RUPD4985y5dukTbtm1NH+YGg4G9e/fma0kYMmQIU6ZMYffu3ezYsYO//vrLdK5ly5b89NNPZGVlmVpI7o39QQpTf926ddm5c6fZffv37zd7XpgY6tevz7Zt28zu27t37wPje9KJTlsLkcvkTGk2BXcbdxafW4zS428UqlQO3+hL9/n7mTOwHm2qelo6TOE+5NbW2Nati23dug+9ViaX4fbySOPiXzEx6GJj0aelYcjOJi8sHH1Gxu2ZJD7ok5MJa9ESmY0NSl9flL4hKH3bYu1bAWs3K2zcJJSyZGNrhuc9a5mo0+HylvyVK+2My5xX7wUt3yq5N0Aod1q0aIGVlRVvv/02w4cP58yZM8ycOdPsmueee45WrVrRpk0bAJYtW0bTpk2LtKpjo0aNmDBhAlOmTMl3rlmzZsydO5dOnTrh6urKt99+y5UrV/IlFMHBwTRt2pThw4fj5eVFu3v2F5o4cSJr1qyhW7duvP/++7i7u3Pq1Cnmz5/PhQsXHhhbYep/8803+f7773n99dcZNmwYJ0+eZMGCBcDdVp7CxPDmm2+yYMECxo4dy4gRIzh+/DgLFy4s9Pv4JCpSQrFr1y7GjBkDwMKFCws9lUgomFwm540Gb+Dn6Mcnhz4Bx5O4V0kj+cZAhi87ypg2wUzsVFV0gTzmrDw98Z40yeyYITcXbWwcurhYrDzvJo7a6GhQKpHUavLCw8kLDze7z234cLwnvweAPiuL1O+/xzo4GJV/RZQ9FyJPuwZJ1yA5zPjQ5hh3hK1Q524hOg0sfxb8GkNQW6jUwrjYl1AuODo6EhoaanbMyckp3+BJFxcXszUn7kwjnT59OqNHj6ZevXosXbqUSZMmIb/dSvXzzz/z1VdfMWnSJCRJolmzZrz33nv3rVelUhEaGmr6Vn7r1i2ys7Pp379/gbFPnDiRnJwcpk2bhkwmo3379kyZMoUbN27ku3bUqFHMnj2bF1980RQfGFtajh07xueff87UqVORyWQ0aNDAbNPJgmItbP1+fn78/ffffPLJJ7z22mvUrFmTr7/+mlGjRmFtbV3oGHx8fNizZw9Tp05l3Lhx1KxZk9WrV/POO++YvZ6nSZE2BwsJCeHXX38FYMCAAYSFhZVaYCXJEpuDFdW/Mf/y9t63ydJmYYUdmVG90WXWoYqXA58+V4tmwfnXbRCeTJJWizYmBm10NHnR0WijosmLjCTvxg3chg3DpV9fAHJOniLy3inccjnWAQHY1K6Nbd26ODRvirWTAeLPG9fO8HvGeF3UcVjS4Z77lMakovsc8KhShq+0dInNwUrehg0bOHr0KLNmzbJ0KI9Er9ebjcH45JNP+OWXXx7aAvIkK4nNwYqUULi6uhIeHo4kSQQHB5OWllbs4MvS45BQANzKvMV7+97jbNJZAORZjUiPfhYMNvSt78v7z1bHw0GsZyAYqS9fJuXHH9FcN67BYcjONjvvPfk93IYPB4w7yOaeO4990ybIUUP4brixD8L3GLtPwJh0vLwTnCr+t6rHkkgohPvp168fL7zwAkFBQRw8eJD333+fL7/80tQC/zQq84Tio48+Ys+ePUiSRJs2bfL1z5VXj0tCAaA1aFl4ZiGLzy5GQsJa5kRGdBe06fWxs1YyrFklXm1VGXeRWAj3kCQJXWIimitXyT17htwzZ/B8401saxmnw6X9voHY999HplJh37w5jh074NC+PVYuLsYukrWDjF0kXjXhlV1gbbnBhSVFJBTC/Zw7d47PPvuMy5cv4+fnx4gRI+jTp4+lw7KoMk8oAI4ePYrBYKBp06bFi9oCHqeE4o7jcceZdmgaERkRAKj0QaTc7I5B7YetUsHQpgG82LQSAe6P/x9+ofSl//EHifO/Me4Ie5tMqcSxa1dcnx+IbZA7smVdofEr0Op/T8TmaSKhEITCs0hC8Th6HBMKAK1ey4qLK1h0dhG5OuM8aRtdKCkxzdFnVwVkNKnsRv+GfnSrXREHlZi0I9yfJElorl4j8+9dZO7YiebOEsUyGVV27UTpZge2BW+A9DgSCYUgFF6ZJhRffvkl//vf/woVWFGuLQuPa0JxR1x2HPNOzuOvG3+hl4ybr9lIvqTFN0KbXg8MNlhbyWlZxYOO1b3pWMMLL0fxB1R4sNxz50n9ZS2G9Az8vplvOq5PS0Ph7Aza3Me660MkFIJQeGWaUMhkMgrbmFGUa8vC455Q3BGTFcPKSytZf3U9OTrjimxWMhWKnPqkJtRGnxsIkrGVokZFJ1qGeNA82J3Gld2wsxatF0LBJEkyzb/Pi4rieo9ncasp4TmkK7Lun1s4uuK78weyUqVKZktWC4KQX25uLhEREWWXUNQtxCI+AGfOnBEJRSnKyMtgU9gm1l9dT3j63XUKrGQqlNpgUpMroc+pjEHtAyhQyGVU9XakfoAL9fxdqOPnTBVPB6wUT+dcaeH+kpcuI+GLLwDwqJeH54pzj20rhV6v5+rVq3h5eeHuLqZdC8KDJCcnk5CQQNWqVfMta14qXR5FIbo8Sp8kSZxOPM36q+vZH72fFHWK2Xk51sg0geRk+mLQVMCgroghzwNQoLKSU72iEzV8nKjq5UBVb0dCvB3xcLAu0qp5wpMnZeVK4qcbdw2uOKYnLm89vq0UsbGxpKWl4eXlhZ2dnfi3LQj/IUkSOTk5JCQk4OLikm9VUxCDMs08qQnFvSRJ4lraNY7EHuFo7FFOJZ4iXZOe7zqZZIVB64FO7YVB44UhzxNDnhuS1hVJb4+zrTXBnvZU8XKgsocDge52BLjZEehuh6PNg9fRF54cCW+9QPK2MyAH/8VLcGjRwtIhFYskScTFxT02a+YIgqW4uLhQoUKFApNukVDc42lIKP7LIBm4kX6DkwknuZR8iaupV7mWes009qIgksEag9YFSeuMQeeMpHW5/dwVg9YFZ6UH/q5O+LrY4udqi4+LLb6utvi6GH92tVOKb4BPCCkjnpgBTcmItEFuZ0ulX39FVeXxXUVTr9ej1WotHYYglEtKpbLA3VvvEAnFPZ7GhKIgBslATFYM19Ovcz3tOmFpYdzKvEVUZhQJuQmFK0PncDfh0Dki6ZyQdI4YdE5YSU542XlQwcEDb0d7vBxt8HZS4eWkwtvRBi8nG7ycVDiqrETi8RgwrBnOrQX7yUlU4ditK35ff23pkARBsACRUNxDJBQPp9FriMmKIS47zvjIiSM+O56YrBhis2OJyY4lT68pVFmSJEPS2xuTDa0TBp0Tks7BlHwocMRN5YaHnTue9k54OKhws1fh4WCNu4M17vYq3B2s8XBQ4WpnLTZHs5Qb+9F805vMGCdc5u7DqoK/pSMSBMECREJxD5FQPDpJkkjTpJkSjoScBBJzE42PnESScpNJyEkkTZNiWiujUOUarG4nHw63/+uIQed4+7kDks4BO4Uzrio33OxccLezxdXeGnd7a1ztrXGzs8bt9s93jjnZiBaQEiFJ8Ne7ENoNKreBp3QHRUF42pVJQpGcnMz169dp1KhRcYsoEyKhKDsGyUCqOpXE3EQSchKIz4knKTeJpJyk28lHEkm5yaRqUtHoc4tcvqS3RdLbGbtedI6mbheDzgFJb0xErHGmoqMXfi72+LkaB5QGutkR6G5PJQ87sSbHI5B0OmRW4v0ThKdJqSYUaWlpjBgxgk2bNgGY1pzo3bs37777Ls2aNStm2KVDJBTlU442h1RNKim5KaRqUknOTSZZnUxSbhKJOYmkqFNJyk0mJTeFTG06EoX/pypJ8rvJhtb5noGmbrhb+xHsWokQT2eqVXSipo8TVb0dsVHef1DS0y776FESv56LfbOmeL7xhqXDEQShDBX2M7RYXzXeeecdNBoNV65cITQ01HT8tdde49NPP2Xr1q3FKVZ4ytgp7bBT2uHr4PvQa/UGPRl5GaRqUklVG5OPxNxEs/8m5SaRmJtESm4yBpkBmTIdlOkobG+ZlZUDnJXknIl3Qx/pi17th0zjTyXHUGr5eFCjohM1fZyp7ecs9kcBSI9Gv2cBuadOkXf9Ou6vvILc7vFc7EoQhNJTrBYKHx8fDh8+TEBAgNky26mpqfj5+ZGdnV3igT4K0ULxdNEZdCTnJpOQk0BcjnG8R3x2PHHZcUSk3+RGxg3U+vzTZyVJZlybQ+2HXu2LQe1HsFNV6vt70iDQhaZB7gS4PYWLI8WcRlrYhvCt3mizFHh/+CFuQ4dYOipBEMpIqXZ52NrakpCQgKOjI3K5HIPBAMCtW7eoUaMGmZmZxY+8FIiEQriXJEkk5CQQlhbGheQLnEs8x9nEc6Rokgu4VoFBXQF9rj/63Eq4KUJpFhhM48puNKrkRhVPB+TypyDBWNKRlD0XiD/hgtLPj+Dt25A9YN66IAhPjlLt8mjYsCEbNmxg2LBhZt/WZs+eTfPmzQtdzv/+9z+WL19udqx69ers37/f7NiKFSuYN28e8fHx1K5dm9mzZ1OnTp3ihC4IyGQyvO298bb3poXv3RUgE3ISuJB0gYspF7mQdIFzSedJ06SisI1GYRsNHCYX2JXlwvYjldHvqYydIZRGviG0rupJqxBPKrk/oS0YjV7BJWIMSedd0EZFkbVnD44dO1o6KkEQypFiJRSzZs2ie/fu7Nu3D0mS+Oijj9i+fTvnzp3jn3/+KXQ5WVlZNG/enGXLlt0N6D8jyH/99VdeeeUVfvjhB5o1a8aXX35Ju3btuHjxIt7e3sUJXxAK5GXnhVeAF+0C2gHGloyY7BjOJZ3jTMIZTsSf5ErKZVCmIXc+hdL5FAbgkNaZ/UdC0f1djQrWtWgb4kf7al40D/bA1voJ+RZfozdyp/dxCcok+ZIjKSt+FgmFIAhmij1t9PTp03zxxRccP34cg8FAgwYNmDx5MvXq1St0GWPGjCEpKYnffvvtvtfUrVuXpk2bsmjRIsC4hK6Pjw9jxoxh2rRphapHdHkIJSVHm8OZxDMcjz/O0dhjnE86j066u6SzZLBCnxOELqs68twaNA2oQrtQT9qGelHJw96CkZeAnVPQ7phP2JYKIEHlTRuxuWdQtiAIT6ZSHUOxcOFCxowZ80gBgjGhWLduHfb29jg7O9OqVSumTZuGp6cnAOnp6bi4uPDrr78yYMAA032DBg0iPj6e3bt3F6oekVAIpUWtU3Ms7hj7o/fzz619xGRHm53Xq73RZVVHl1Udf7tQOlavSOca3jxTyQ3F4zb2IjUC5tUj8bw9qgGf4tj3RWRKsWGcIDzpSjWhsLa2Jjc394GbiRTGtGnTCAgIoE2bNkRHR/POO++QnJzM6dOnsbOz49KlS9SoUYN//vmH1q1bm+5766232L59O5cuXSqwXI1Gg0Zzd5nojIwM/P39RUIhlCpJkriRfoN/ov7hn6h/OBV/CgMG03mDzh59Vii6rFCcpJp0rl6ZbrUr0jzYHaXiMVmF8vfRYOcOzceDU/5tjgVBePKU6qDMGjVqcOLECRo3blzsAAGmTJli+jkoKIhNmzbh7+/P2rVrGTlypGk66n8TFysrK9PMkoLMmjWr0N0hglBSZDIZQS5BBLkE8VKtl0jXpN9uufiHA9EHyCILuctJlC4nyZNkbEoI4PdN1bHV1aZLlbo8W9en/CcXfRdZOgJBEMqpYiUUI0eO5IUXXuDjjz+mRo0aWFtbm50vyjiKe3l5eREQEMDly5cBTF0fiYmJZtclJiaazhVk8uTJTJw40fT8TguFIJQlZ5UzPYJ60COoB1qDllPxpzgQfYB9UfsITw/Hyi4SK7tIDGzjzzQ3Nm6ujU1eQzoG1adH3Yq0CvEst8mFITeXlJUryfp7N4E/rxBdH4IgFK/L42HT4oq7PUhOTg6enp5MnTqVSZMmAcaWi759+/Lll1+arqtcuTJ9+/Zlzpw5hSpXjKEQypuYrBj2Re1jz629HI09ajawU6/xRJdeD7u8pvSoWZ3e9XxpGOhafqajShKGa3sJG/wW+qw8fL+ag1P37paOShCEUlKqYyiSkpIeeN7Dw+OhZWg0Gl5//XUmT55MUFAQiYmJjBs3ju3bt3PhwgX8/PwAmDt3LlOnTmX79u00bNiQr776io8++ohz585RtWrVQsUrEgqhPMvWZnMg+gB/3fiLf27tMyUXkiRDnxVKXlpjfKzr069BAP0a+OHvZuFlr7W58FV1Eo/qSLrgiE3dOlRau7b8JDyCIJSoUh1DUZiE4WFUKhUtW7akR48eREZGAtCyZUv2799vSiYA3nzzTRISEujYsSMajQZfX19+//33QicTglDe2Svt6VKpC10qdSEzL5O/b/7NxmubOJFwHCvHy1g5XiZFu5EFZxow759naOxXlX4N/eheu6Jl9hpR2kLDEbimziP5shPqM2fJPXUauwb1yz4WQRDKjWK1UOzateuB5zsWccEbtVqNjY3NA68xGAxkZ2fj6OhYpLJBtFAIj6fr6df5/ervbArfRJomzXRcl10ZbfozKHPr0bVmAAMa+tE0yL1slwBPj4K5dYg54kD6dXscO3XC75v5ZVe/IAhlplS7PEprDEVpEQmF8DjT6rXsubWH38N+59/of03buEt6FdqMOmjTn8HPrhqDGgXSv6Efno6qsgns1+FoDm3h+l9eIJMRvH0b1gEBZVO3IAhlprCfocUaQi5JktlDr9dz+fJl2rRpw6pVq4odtCAI+SkVSjpX6szCjgvZ0X8H4+uPx8/BD5lCg7XrMewrfU+y86d8fex7mn3xO6+vPsnRGymln9g3G4fKWYd9xTyQJFJW/Fy69QmCUK4Ve+ntgoSFhdGnTx/OnTtXUkWWCNFCITxpDJKBE/En2Bi2kR0RO1Dr1cDtgZzZVdGmPUOwfWNebBpM7/q+pTfWYkknsk+cJi2zIW6T52Bbs2bp1CMIgsWUapfH/aSnp+Pr60tWVlZJFVkiREIhPMmytdnsiNjBxrCNnEw4aTpu0NmjS2+IVXZTetWsx5AmAdTydS7Zyi/+AbumQOt3oN6gki1bEIRyoVQTiqioqHzHUlNT+eKLL7h8+TJHjx4tapGlSiQUwtMiMiOSDdc2sDFsE8nqu9O7ddlBaNOaUNe1FS+1CKZLzQols2iWwQBIIH9CdlUVBCEfiwzKrFq1KmvWrKFBgwZFLbJUiYRCeNroDDr2R+3nt2u/sT/qANLtPUUMeW7kJbfFzdCcYc2CGdo0EGfbklnlUnPjBinLlmHXqBHOvXqVSJmCIFheqSYUd5bGvperqyve3t5FLapMiIRCeJrFZcfx+7XfWXNpLWl5qQAYtM7kJbfFOqcJgxsH83LLICo4P3jq9gPpNCTPmEjCmt1YBwURtGUzMnn5XDZcEISiKdWEol69epw+fbrI5yxFJBSCALm6XH67+hvLzv9IUq5xfxyDzpG85NaQ0ZRedSrzauvKVKtQjN+Rfz5Hv2MmYVt8MGgk/L77FscOHUr4FQiCYAml3uVR0G16vR4bGxu0Wm0Bd1mOSCgE4S6NXsPv135n2bllxOXEAcYBnNrU5uSlNKNVcACjWgfRsopH4ZfTzoyHubVIOKki+ZIjtnXrErh2jViOWxCeAKWy9Pbhw4cL/BmMK1keOnSIALGwjSCUayqFikHVBtE/pD9brm9h8bnF3Mq8hcpzJ9Zu/3A0rQkHfmpJdU9/RrcJonvtig8fwOnoDfUG45a1gpSrTuSeOUPu8ePYNWpUNi9KEASLK1ILxcO+bVSoUIF58+YxcODARw6sJIkWCkG4P51Bx87InSw9t5QrqVcAkCQ5uoy65CW3pKJtFV5rF8yAhv5YWz0gsUgOh2+fIfaoI2nh9ti3aU3AokVl9CoEQSgtpdLlcWd9CQ8Pj3w7jiqVSlSqMlryt4hEQiEIDydJEgeiD7D0/FJOxJ8wHddlB5GX0pIKyvq82SGUvvV9sbpfi8W6l8g7vInwrd4gQeVNG7EJDS2jVyAIQmmwyMJW5ZVIKAShaC4kXeCniz+xI2IHekkPgEHjQV5qC3wULRnfrha96/nkTyxiz8KiVsQed8Gq9cu4vjoeK1dXC7wCQRBKikgo7iESCkEontisWFZfXs1vV38jS2tsoZT0tuSlNsPL0IE32tanTwNf8zEWK/uDZIAuM8GrmoUiFwShpJRqQqFWq5k1axbr1q3j5s2b6HS6fOfLE5FQCMKjydHmsDFsIz9fXElU1i0AJIMV2rRncNN25bXWzzCgoR82SgVo1aB8hDUtBEEoV0p1t9GPP/6Y33//nffff5/s7GxWrlzJG2+8gVwuZ9KkScUOWhCE8slOacfg6oPZ0mczX7X9ihpuNZHJdVi7HSbTczrT//2cVl9sYemBG+TJrE33Ze0/QOSLw8grYLl+QRCeLMVqoQgMDGTz5s3UqVMHmUyGwWBAJpPxyy+/8O2337J///7SiLXYRAuFIJQsSZI4Hn+cb099x8kE4wBOSW9DXnJbKtCJ97vVoUuAxK0XXyD7SgIuzz9PxWlTLRu0IAjFUqpdHnK5HK1Wi0KhwMHBgaioKFxcXMjKysLT05Pc3NxHCr6kiYRCEErHnZkhX5+Yy7W0q4Bx8KY6vidb5evwjw4jcrcHMqWS4J07UFaoYOGIBUEoqlLt8pAkCYXCuLtglSpV2LlzJwAnTpwQH9iC8BSRyWS08mvFb73WMbPlTNxtPJCrkrAL+JFRzo6k+Oix8dIhabUkL1tm6XAFQShFxUoonJ2dTT9PmDCBYcOG8cwzz9CtWzdGjRpVYsEJgvB4kMvk9AzuyZY+mxlWYxhymYIUx1h6+frwb2PjUvxJq38hISLawpEKglBaSmTa6IEDBzh8+DDVqlWjR48eJRFXiRJdHoJQtsJSw/js6GcciTsCksRnK/QExcCWkNYo3nibV1tVxtGmZLZNFwShdJXqGIqFCxcyZsyYRwqwLImEQhDKniRJ/B25ky/2/A/3SD0frTWQp5Dxco8R6O3r8WaHEIY2Dbz/qpuCIJQLpZpQWFtbk5ubaxpHUd6JhEIQLEd9Zg0/7n4H+UFHTgbLOFRNRl5WHTQJXQh1r8zUXjVpGuRu6TAFQbiPUh2UWaNGDU6cOPHwCwVBeOrZ1B7IWJtA+o7oRIVne4JcjtLpHA7BX3GDnxi0bDuvrz5JXHr5WhBPEISiKVYLxfz585k7dy4ff/wxNWrUwNra2ux8vXr1Siq+EiFaKATBwvQ6UFgBcCXlCvOPz2Vf7AHg9oqbqU2xyujIhA71Gd680sO3SxcEocyUapfHw7YxL2/bg4iEQhDKB0mSSF25ipQffyTzq3eYG7uakwknjef0KvKSWxNo1Y1Pn2sgukEEoZwo7GeoVXEKT0xMLHZggiA8vWQxJ8laMx9tTCbev+1n+afLORhzkLkn5nEl9TIqr53E6A7x4q+d6eTXk/efrYGfq52lwxYEoRDEbqOCIJQNSYIf2pJ77gIRuzxBLidoy2ZUQUEYJAPbbmxj3sn5xGQb16rQ5/piSOrNqMbtGNu2CrbWj8cgcEF40pTqoEyApKQkli5dygcffGA6dvjwYfR6fXGLFAThSSaTQbv3sfXQ4uCXBwYDifPmA8aFsboHdWdLn8280+gdbK3sUdhGo/T/jh8uzaTD3K38fSnewi9AEIQHKVYLxenTp+nUqROenp5cunTJNGZizJgxNG7cmJEjR5Z4oI9CtFAIQjkhSbCkI+oLp7mx3QskqLRuHba1a5ldlpybzLyT89gYthEJCYPOEXVsH9oHtGNqr5r4utha6AUIwtOnVFso3n77bSZOnMjFixfNjo8ZM4avv/66OEUKgvA0kMmg/YfYuOhwDjROE00s4G+Gu607n7T4hJXdV1LJqTJyq0zs/FewP/VbuszdzuojN8vd4G9BeNoVq4XC2dmZqKgoHB0dkcvlGAwGALKzs3Fzc0Oj0ZR4oI9CtFAIQjmz4jnyzu4n/K8KoJeo/McmbKpWLfBSjV7Dt6e+5acLPxlbK7TOqGP706xiMz7rV1sM2hSEUlaqLRQKhYLMzMx8xy9fvoybm1txihQE4WnScSrWDnoq1E+l0uIv7ptMAKgUKt5+5m2Wd12Ov6M/cmU6dgFLOZa1hC5zd7L84A30BtFaIQiWVqyEonv37kydOhWDwWBakyIyMpKxY8fSs2fPEg1QEIQnkE99aDwa1zc/xbZ5l0Ld0sC7Ab/1/I0XQl8AwNr1MPh9xae7ttB/4b9cicv/JUcQhLJTrC6P+Ph4OnbsSEJCAgkJCdSqVYvLly9TvXp19uzZg7t7+VqQRnR5CEL5l3frFkpvb2T/WXm3IIdjD/PRgY+Iy4kz3pvSHH1SN8a0rs7r7atgoxRTTAWhpJTqSpkAeXl5bNq0iePHj2MwGGjQoAH9+vXLtwx3eSASCkEo35IWfEfi9wvxnvQObsNeLNQ9WXlZfHn8S9ZfWw+AIc8ddUw/Au1rM7NvbbHSpiCUkFJPKB4nIqEQhHLswkZS531I3D49ChcXgndsR1GE39OD0QeZ8u8U4nOM61TkpTZGk9CV5xuE8mGP6jjaKEsrckF4KpT6wlbXr1/n7bffpnv37nTv3p3//e9/REREFLc4kpOT2bZtG5cvXy7w/KVLl9i7dy/x8WJxG0F4osSfx6XCLaxdZejT0khevLhIt7fwbcGG5zbQv2p/AKxdj2If/BXrr2yh2/x9nLyZWhpRC4LwH8VKKDZv3ky1atX4559/CAwMJDAwkL179xIaGsrWrVuLXJ7BYOD555+nR48eLFy40OxcdnY2Xbp0oXnz5kyaNIlKlSrx2WefFSdsQRDKoxZvInP0wqtWEgApP61AGx1dpCIcrR2Z0mwKy7sup7JzZeRWWdj6rSHZ/nsGLtnKd3vCxEwQQShlxV7Yatq0aRw/fpzvv/+e77//nuPHjzN16lQmTJhQ5PJmzZqFo6MjtWrVynfu448/5urVq1y7do1jx46xceNGJk+ezIEDB4oTuiAI5Y3KEdp/gIOPBrsKeqS8PBLmzitWUQ29G/Jbz98YW3csSrkSK4cr2FSew9xjSxi0+CBRqTklHLwgCHcUK6GIjo7mtddey3d87NixRBfxm8W///7LokWLWHyfZs4VK1bw8ssv4+HhAUCXLl2oX78+P/30U9EDFwShfKr/IjLvGnjVSQEZZGzeTM6pU8UqylphzWv1XuO3nr/RwKsBMrkWG+8/OS9Np9uCX1h/IkqssikIpaBYCUWNGjU4c+ZMvuNnzpyhRo0ahS4nLS2NIUOGsHjxYlPCcK+oqCiSkpKoX7++2fH69esXWP8dGo2GjIwMs4cgCOWYXAGdPsXWTYtz5VzktrZoo6IeqcgglyB+7PojU5tNxV7piMI2Gsl3LpP3fMHYVUdIyc4roeAFQYBiJhRDhgxhwIABfPXVV+zfv599+/bx1VdfMXDgQIYOHcrp06dNjwd5+eWXee655+jSpeCFbdLS0gDyrb7p7u5Oaur9B1rNmjULZ2dn08Pf379Ir08QBAsI6QjB7fGqk07Q9P44l8AieXKZnH5V+7G59yba+7dHJjOg8tzNvpwP6PjtanZciCuBwAVBgGJOG72zOmZh3K/49evX8/LLL7N8+XJsbGwAGDduHHXq1GH06NF06dKFa9euERoayt9//0379u1N977++uvs2bOHCxcuFFi2RqMx208kIyMDf39/MW1UEMq7hMuQEQ1VOpR40ZIksSNyB5/8O4MMbSqSwQpNfE96VOrD1F61cLYT00sFoSCFnTZqVZzCExMTix3YHdbW1jRt2tRsVkdiYiKnTp1i7ty5dO7cGX9/fxQKBbdu3TK7NyoqikqVKt23bJVKhUqleuQYBUEoY17VjI/bsg8dIi8iAtdBgx65aJlMRpdKXWhcoTHv7/+AAzH7sam4gb8SwjnyzRAWDG5OPX+XR65HEJ5W5Wphq3r16tG2bVvmzp1rOta+fXucnZ3ZsGEDAOnp6fj6+jJr1izGjx9fqHLFwlaC8PjJ/Xc3ESPHIbO2JujPLViXYNelQTKw4sIK5p6ci17SY9B4oI0dxked2zG0aWCRWmEF4UlX6gtbgXGNiKioqHyPkjRz5kz++usvxo8fz+rVq+nRowf+/v68/PLLJVqPIAjlSNw5bPa8iH1F4zTS+JmzSrR4uUzOiFojWN51Od52FZCrkrD2/45pf//Km2tPk63RlWh9gvA0KFZCcfr0aerXr4+DgwP+/v75HsXVokULqlevbnasadOmHDp0CI1Gwy+//EKbNm04ePAgdnZ2xa5HEIRyzqsGMrdKeNdLBrmMrD17yNyzp8SrqedVj196rOUZ72eQKTTY+v/Mtuif6PXdfq7Fi91LBaEoitXl0aBBA2rWrMm4ceNwcXHJd75atWr5b7Ig0eUhCI+hiAOw/FkSzjiRfMkBpZ8fQVs2I789iLskaQ1a5hyfw6pLqwDQZVaDxEHM7N2YPvX9Srw+QXiclOrmYDY2NiQmJuLo6PhIQZYVkVAIwmNq3UsYTm8gfLsvuiwDHq+/jufr40qtuk1hm/jk0KfkGTQY8tzIjRrC83WbMaVnDbEluvDUKtUxFCEhIdy8ebPYwQmCIBRKlxnI7e3xrmPc5yN58WK0pbhB4HNVnmPVsyvxdfBFbp2CXaXvWXfld5779qDoAhGEhyhWQjF79mxGjBjBli1buHTpEpcvXzZ7CIIglAgnH2g7GUd/Nc5V9Ph8+hFWXl6lWmU1t2r80uMXWvu1RibXYevzGxHyH+n53R5+PXZLLNstCPdRrC6PzZs3M2jQILKzsws8X95+4USXhyA8xvRaWNweKreGtpNB5VAm1RokA4vPLmbB6QUYMKBXVyQ3agj96tRjeu9aogtEeGqU6hiK4OBgOnbsyPjx4wsclOnnV74GMYmEQhAec3otKO6uZKlLTUWmVKJwKP3k4kjsEd7Z9w4p6hQkvQp1XF+qO7Zm4YsN8XWxLfX6BcHSSjWhsLe3Jz4+Hocy+GUuCSKhEIQnR+bOXcR+9BFO3btT4eOPyqTOhJwEJv0ziZMJJwHQpjXENrM/373QlOZV8m9sKAhPklIdlFmtWjXCwsKKHZwgCEKxJFxCvv8T9GlppK5ZQ+5DNiAsKV52XiztspQxdccgR47S5QR5XnMYtup3fj4UUSYxCEJ5V6yEol+/fgwaNIh169Zx6tQps91FH7bDqCAIQrHFnMJefgbnIA1IErFTpiJptWVStZXcinH1xrG0y1K87LyRq5KwCVjAJ/sW8+GGc2j1hjKJQxDKq1LZbVQMyhQEoVRIEqzohe7yAa5v80Wfq8dzwgQ8Ro8q0zDSNel8fPBjdt/aDYA2oxb1bF9l4eCWuNhZl2ksglDaSnUMRVJS0gPPe3iUrz5FkVAIwhMkORy+b076NRkxR1yRKZVU3rgBVXBwmYYhSRKrLq3iy+Nz0Es6DHluuGS9wrJBvQmt8Hgs+icIhVGqCcXjRiQUgvCE2f8V0q5p3DrgTXa0Att69QhctRKZouyncp5POs8bf08kUR2LZFAiJQ5gTvcRdK1VscxjEYTSUOq7jSYlJbF06VI++OAD07HDhw+j1+uLW6QgCELhNB+PrEItKjZIRK5SoAoNLbOxFP9Vy6MWG3qvo0mFFsjkWuTeq3lzxyd8uf0iBsMT/31NEEyK1UJx+vRpOnXqhKenJ5cuXTKNmRgzZgyNGzdm5MiRJR7ooxAtFILwBIo5BYs7oHOqgdVrf4HKst0MeoOeb059y9LzSwDQZVehmf1E5r/QDAeVlUVjE4RHUapdHh06dKBjx45MnjwZmUxmSihOnz7Niy++yLlz54ofeSkQCYUgPKFu7IeApqZFrySDcaaFTF7sxtdHtjNyJ+/uex+tQY0+15eK6tdZ9mI7At3tLRaTIDyKUk0onJ2diYqKwtHREblcjuH2L3F2djZubm5oNJriR14KREIhCE8+bXQ0Me9/gGOHDrgNe9GisVxIvsCr20eTqU1Hr/FEmTiaRYM60jTI3aJxCUJxlOoYCoVCQWZm/p33Ll++jJubW3GKFARBKD6dhqzFk8k5coSEOXPQXL9h0XBqutdk1bM/42nrjUKViM77G4b/vJlt52MtGpcglKZiJRTdu3dn6tSpGAwG05oUkZGRjB07lp49e5ZogIIgCA91ZCEu0ibsfQxIGg2xkycj6XQWDamyc2VWP7uSSk6VkSvTsfL7nnHrN7LycKRF4xKE0lKshGLOnDkcOnSIihUrYjAYqF27NlWqVEGtVjNr1qySjlEQBOHBGo9C5lWNig0TkKsU5J45Q/LSZZaOigr2FVjR7SdqutdCbpWDbcBipuz8na92Xi13CwAKwqMq9joUeXl5bNq0iePHj2MwGGjQoAH9+vXD2rr8rRInxlAIwlMg5hQs6UhauJLYI66gVFJ53a/YVKtm6cjI0ebw1p63OBR7CEmSo44ZSN+qPZjRpzZKheUGkApCYZTqoMx69erdd8+OB52zFJFQCMJT4p/PkXbPIOpfL7JuWWFdJZjKv/2G3MbG0pGh1Wv54MAH/BXxFwDq+O408+jL90MaYi+mlQrlWKkOyjxz5kyBx/V6PRcuXChOkYIgCI+u5URkfs9QsWESCnsFMmTokpItHRUASoWSz1p/xpDqQwCw8d7KkfRlDPzhIAmZagtHJwiPrkhp8eHDhwv8GcBgMHDo0CECAgJKJjJBEISiUlhBn0VYLWxJQPt0rN+YjtzP19JRmchlct5t9C4V7Svy5fEvsXb7l/CMdHp/l8vS4c2pXlG0oAqPryJ1eTxsl9EKFSowb948Bg4c+MiBlSTR5SEIT5lLm8G7JrgFmQ5JkvTQv2FladuNbUw+8D46gxZ9TgCy+Jf49oXWtKvmZenQBMFMqYyhyMrKAoy7if53x1GlUolKpSpmuKVLJBSC8PSS9HqSlywl98wZ/L79xqKraP7XsbhjvLH7TbK0mRjy3FHfeokPu7TmpRaVLR2aIJiUyhgKBwcHHBwcUKvVpp/vPMprMiEIwtMt7+B6kr6ZR9bu3aT8uNzS4ZhpVKERq7qvxMfeB7l1MjaBC5i+ayvz/75m6dAEocjKT6ouCIJQ0lIjUO0Zg3e9FAASvv6a3PsMKreUIJcgVj27ilqmtSqWMP/Ir3y5/YpYq0J4rIiEQhCEJ5drJWjxBi7BOThW0oFOR/TEt9FnZFg6MjMeth4s67qM9v7tkcl12Pqu5Ydz3zPjz4siqRAeGyKhEAThydbuA2T+jajYIBGlswJtdDSxH35U7j6oba1s+brd17xU6yUAVJ5/s/L6LD7cdAqDoXzFKggFKVZCUa9evWKdEwRBKHMKJfT/EYWTM76N40AhI3PHDlJXrrJ0ZPnIZXImNpzItObTkKNA6XyGDbEfMWH9fvQiqRDKObGwlSAITz4Xf+izEFt3Ld510pBZKZCpyt82AXf0DenLki6LsVU4oLC7ya60D3hlzRa0eoOlQxOE+xILWwmC8HQI7QbNx+MqfYNDl+ewLmfr5fxXowqN+LXnGl76awxJRHNMM43BK5P4efAwbJQKS4cnCPmIha0EQXh66LVwdRtU6wG3/57pMzKQ29sjU5TPD+k0dRojto4jPPMskiTHTzeCdUNfx9FGaenQhKdEqaxDkZmZSWZmJiqVyvTznYdarSY2NrbcJROCIAgmCiVU72lKJnLPn+dG334kzv/GwoHdn4uNC+ueW05Tz07IZAailct49qeZJGVpLB2aIJgRC1sJgvB0ykkhb9UEtFFRJC9aRMb2HZaO6L6UCiWLun1JN3/jF7ZUm9/ovuIDbiZnWzgyQbir2NNGk5KSWLp0KR988IHp2OHDh9Hr9SUSmCAIQqm6sAFn1VHcQnMAiJk8GfWVqxYO6v7kMjmz233IkKqjAMi1306fte+JpEIoN4qVUJw+fZrq1aszZ84cZs6caTq+fPlyfvrppxILThAEodQ8MxJqPIdX3TTsfCSknByiXn8dfVqapSO7L5lMxnvNxjO+zjsA5Dnspc+aqdxKybFwZIJQzITi7bffZuLEiVy8eNHs+JgxY/j6669LJDBBEIRSJZPBc98h866Gb5M4lE4KtLduET3xbSSdztLRPdCo+i8yrs7/AMhz3EbfVTOJShVJhWBZRZrlcYezszNRUVE4Ojoil8sxGIxzo7Ozs3Fzc0OjKfxgoX379rF9+3aysrKoWbMmQ4YMwd7e3uyaiIgIfvzxR+Lj46lduzYvv/wyNjY2ha5DzPIQBOG+Uq7DD+1Qx2UR8XcFJK0BzwkT8Bg9ytKRPdRXR7/nx0sLALDNeJ6NL76Nj4uthaMSnjSlMsvjDoVCQWZmZr7jly9fxs3NrdDljB07lpkzZ+Li4kKlSpVYuHAh9evXJyUlxXTN+fPnqVu3LhcvXiQkJISFCxfStm1btFptcUIXBEEw5xYEA3/CxlXCp3ES9jX9cX3heUtHVSgTGo3h+ZBhAOQ4/kr/n78lIVNt4aiEp1WxWiiGDh2KnZ0dCxcuRKlUotfriYyMZMCAAdSrV48ffvihUOXcvHnTbCGs9PR03N3dWb58OUOHDgXg2WefJS8vj507dwIQHx9PYGAg3333HS+//HKh6hEtFIIgPNThhXDoW6TnVyHzqWvpaApNkiTe3/cJWyJ+Q5LkuGWNZONLY3GzL78rgQqPl1JtoZgzZw6HDh2iYsWKGAwGateuTZUqVVCr1cyaNavQ5fx3Vc2EhAT0ej0+Pj4ApkTi+efvflvw9vamffv2bN68uTihC4IgFKzJaBj7r1kykbp2LZrrNywY1MPJZDJmtP6Ijv49kMkMpDgso/+KJaTnilZcoWwVaentO7y9vTlx4gSbNm3i+PHjGAwG3n//ffr164e1ddGy4nPnzjFnzhwyMjI4efIkCxYsoH379oCxBUOr1VKpUiWzeypVqsT+/fvvW6ZGozEbx5FRzrYqFgShHJLJwObut6+UeZ8S//1qlIEBVFqzBqsidOeWNblMzpdtp/P6LjUHYneRYLOYAT8p+W3ECJzEippCGSn2OhTW1tYMGDCA2bNn88UXXzBo0KAiJxMAbm5utG3blubNm+Pi4sKqVatITU0FIDc3FyDfIE1HR0fTuYLMmjULZ2dn08Pf37/IcQmC8BS7/CdO8d8YZ35E3iRq7GsY1OV7bIJCrmB+x89p7NUamVxHjGoB/ZevEC0VQpkp9BiKAwcOFLrQli1bFiuY7OxsqlatyiuvvMK0adOIjIykUqVKbN26lW7dupmue/XVVzl58iQnTpwosJyCWij8/f3FGApBEAonORyWdEQTl0HEnooY1HocO3XEd+7ccrvnxx15+jxe3fYGJ5MOIhms8FGPY92I4TjbipYKoXgKO4ai0F0erVq1KnTlxRjnCRhbIoKDgwkPDwfA398fZ2dnLly4YJZQnD9/nlq1at23HJVKJZYCFwSh+NyD4YXVqFb0wr95PDf/8SJz5y7iZ8+mwvvvWzq6B7JWWLO463xe3Taek0n/EmOzgAHLEUmFUOoK3eWRm5tb6EdhaDQa/vzzT7NjFy5c4MSJEzRv3twYnFzO888/z7Jly8jKygLgyJEjHDlyhMGDBxc2dEEQhKILbAZ9FmHnlUfFxkkApK74meSlyywc2MMZk4pvaODRHJlca0wqfvqRTLXo/hBKT6ETChsbG9OjadOmZs//e64wFAoFy5cvp3bt2gwcOJDOnTvTqFEjhgwZwqhRdxeUmTVrFjY2NtSuXZtevXrRqVMnxo8fT5cuXYr+agVBEIqiVl/oMgvnQDVe9dJBBjKbx6P1825S0cKUVPRbsZAsTfleBVR4fBVrHQqZTFZgt4Zer8fGxqZIi06Fh4dz+vRp7O3tqV27Nr6+vvmu0el07Nu3z7RS5oO6Owoi1qEQBOGRbP8ADn2L2rMnNuNWWjqaItHqtYzbOYlD8X8jSTJ8tC+ycfgE7KyLNclPeAoV9jO0SAnF4cOHAWjWrBmHDh0yO2cwGDh06BALFiwwjYEoL0RCIQjCIzEY4PxvUKs/yI0Nu/q0NPKiorGtVdPCwT2c3qBnwt8fsSfGuH5PRf0Atgz7EGurYk/0E54ipZJQyGSyB56vUKEC8+bNY+DAgYWPtAyIhEIQhJKki4/n5kvD0SamEPjTcmxq1LB0SA8lSRLv7Z3J1ptrAQhQdGXToM+wKuezVgTLK5WVMjMzM8nMzESlUpl+vvNQq9XExsaWu2RCEAShROnykO+ahDw7AkNmJjdffgVNWJilo3oomUzGZ23fp3eAcYzaTf02eq8bR54+z8KRCU+KIiUUDg4OODg4oFarTT/feYhpmoIgPBW0OcjTw/BvEYeNpwx9aio3XxpJXmSkpSN7KJlMxqftxtPb939IkpxIzUF6r3+JzLz8mz0KQlEVa1Dmrl27Hni+Y8eOxQ6oNIguD0EQSlRmHCzrii4ugpv/+KBJkbDyqUillStR3t6LqLx7b+tvbImfhUyeRwWbyqzssRhve29LhyWUQ6UyhsJ000PGUhR3YavSIhIKQRBKXNot+LE7uvgoIvf6kJdmQOnvT+CKn1BWrGjp6B5KkiTe+H0Lu9NmIrfKwtXai2VdF1HFtYqlQxPKmVLdbVSSJLOHXq/n8uXLtGnThlWrVhU7aEEQhMeGiz8M/wMrzwoEtI5B6SwHnRZJr7d0ZIUik8mY26cHzWynodd4kpqXwOA/X+RY3DFLhyY8porVQnE/YWFh9OnTh3PnzpVUkSVCtFAIglBqksLgx25oU7KQev+AdZOelo6oSPJ0Bkb+vJeT6q9Q2EWikFkxpdnH9AnpY+nQhHKiVLs87ic9PR1fX1/TMtnlhUgoBEEoVQmXITMWgtuZDmXu2YNNaOhjMaYiN0/PkKX7uahbjNLpLAAv1XyJNxu8iUIuppU+7Up8c7B7RUVF5TuWmprKF198QY3HYD62IAhCifKqZnzclrVlLVHvTkfp7U3AT8ux9ve3YHAPZ2ut4McRLRi8RMa1xA2oPP/mxws/EpERwWetPsNOaWfpEIXHQIkOyqxatSpr1qyhQYMGjxxYSRItFIIglJmka2i/e5abfynJSzNg5eVFwPLlqIIqWzqyh0rNzmPQ4sOE5ezH1uc3kOkIdQ3lm/bfUNGh/A80FUpHqXZ5XL58Od8xV1dXvL3L55QjkVAIglBmksLgp57oEuK4ua8imlQJhbs7AcuWYRNa1dLRPVRylsaYVKRfxCHgZyRFJu427sxrP4+6nnUtHZ5gARYZQ1FeiYRCEIQylXIDVjyHLv4WN/dVQJMMcicn/BcuxK5BfUtH91CJmRpe+OEQ11OjcQpcgcE6Bmu5NZ+2+JTuQd0tHZ5Qxkpt2qgkSaxZs4YePXoQGhpK1apV6dmzJ2vWrCl3608IgiBYhFtlGLkNK98qBLaJxdbbgCEjg5sjR6IpZ5snFsTTUcWaUU2p4uZH+vXRyHNrkWfI49397/LD2R/E33qhQEVKKPR6PQMGDGDw4MEkJSXRtGlTmjVrRmJiIoMHD2bgwIHoH5M52IIgCKXKyQde+gtFQC0CWsVj76vDqX1TrIOCLB1ZoXg52rBmVFOqeXuQHjEYRUZbAL459Q1T/p2C1qC1bIBCuVOkWR7z5s3jyJEjHDp0iKZNm5qdO3ToEAMHDmT+/PlMmDChRIMUBEF4LNl7wPAtyNcMwt83B4bNNA1ql7RaZEqlhQN8MA8HFWtebcrQpUe4EN0VZ507uG1gQ9gGYrNjmdtuLvZKe0uHKZQTRRpDUbt2bWbPnk337gX3of35559MnjyZs2fPlliAJUGMoRAEwaK0ucaHnRsAkk5H1BtvYu3vh9e77yKTF2vR4jKTnqNlyNLDnI/OwM0zDLn3SjR6NY0qNGJBhwXYWNlYOkShFJXKoEwbGxvS0tKwsSn4H09ubi6urq6o1eqiR1yKREIhCEJ5kvX9W9yatx0Ax65d8Zn9GfJyvmPznSmll+My8XSPR+aziFxdDi19WzK/3XyUivLd2iIUX6kMylSpVGRm3n+b28zMzPsmG4IgCAIQdw6H+B/xaZoKChmZ27Zx86WR6FJSLB3ZA7naW7PylSaEeDmQmOyNLO4VVAoVB6IP8O7+d9EZdJYOUbCwIiUUjRs3ZvHixfc9v3jxYho3bvzIQQmCIDyxKtSGXt/iHKQloHUicpWc3JMniRj4PJqwMEtH90AeDipWvdKEyh72xCf6YJf6Ckq5kp2RO5ny7xQMksHSIQoWVKSEYvLkyUyZMoW33nqLiIgI026jERERvPXWW0ydOpXJkyeXVqyCIAhPhgYvwpB12PurqNQ+DqWTDG1UFBGDBpN9+LClo3sgLycbVr7SBG8nFTej/fHOfQWFTMEf4X/wxbEvxJTSp1iREor27duzZMkSlixZQuXKlbGzs8POzo7KlSuzZMkSli5dSrt27R5ekCAIwtMuuD2M3IYqoCKV2sdi66VHylMjd3C0dGQP5etiy08jG+NoY8Wl64EEMRKAlZdWsujsIgtHJ1hKsVbKTE5O5o8//uDq1auAcQ+PXr164e7uXuIBlgQxKFMQhHIrKwHWDsEQeRRNnQ+xHTDJdEqSpPvunVQeHApPZviyo+TpDTSrd5HzmhUATG48mcHVB1s4OqGkiKW37yESCkEQyjWtGq5shVp9TYdyz54l4auv8f3ic6w8PS0Y3INtPRfLuNUnkSRo8cxJzmb/CsCMljPoFdzLwtEJJaHUlt4WBEEQSpjSxiyZkDLiiBk3nJzDh7nRtx85J09aMLgH6167IjN61wbg4PH61HJ4FoCPDn7E1utbLRmaUMZEQiEIglDOyP6ciF+jSKxdJHSJiUQOG07KzyvL7YDHwU0CeL97NUDGoWMtqOPUBYNk4P0D77MjYoelwxPKiEgoBEEQypvOn6KqEkrlDnE4BqhBpyN+xgxiJr2DITvb0tEVaFTrYN5oXwWQc/BIG+o4d0Qv6Xl337vsvrnb0uEJZUAkFIIgCOWNezC8vBN5/X74NkvBq346yCFjyxZu9B+ALjnZ0hEWaEKnqoxsURmQ8++R9tRyaotO0vH23rfZFbnL0uEJpUwkFIIgCOWRygH6LUH27Je4V88jsG0SVvZg7e+Nws3N0tEVSCaT8VGP6gxvFogkyTl8tBM1ndqgk3T875//8deNvywdolCKREIhCIJQXslk0PhVGLkduxBvKj9vi8+MGaappPrMTPQZGRYO0pxMJmNqr5q3kwoFR452oY5zB/SSnvf2v8cf4X9YOkShlIiEQhAEobzzawij92E18hcUnj4ASHo9cR9+wI3efcg5ecrCAZozTyrkHDzcgdpOnTFIBj488CG/XvnV0iEKpUAkFIIgCI8DOzfwCDE91e/6itx/d6CNiSFy6FASv/0OSVd+Nui6k1TcHVPRlloO3ZGQ+PTwpyw6s6jczloRikckFIIgCI8bvRar65uo3DkO50o5YDCQ9O23RAwegub6DUtHZ3JnTMUbHUIAOYeOtaK2XX8Avj39LZ8f+1xsKPYEEQmFIAjC40ahhJd3oGj+Cj5N0/BpmopcBeqzZ7nRt69xzQpD+figlslkTOxU1bROxb8nnqGG9YuAce+P9w+8j1avtWyQQokQCYUgCMLjyNoOnv0SBq/DuaYjQV3isPfWIKnVJC9ZXO7WqxjVOpgZfWohk8GRMzUJ5lUUMiv+vP4nY3aNISOvfA0uFYpOJBSCIAiPs6qd4bVDKJ/phX/bZLyfyaTiO2NROBp3LZUkqdy0VgxpEsj3QxpibSXn9KVgvHPHYmtlx9G4owzbOoyYrBhLhyg8ArE5mCAIwpPi/HrISoSmY0yH0tatI23TJip+8gmqoCALBnfXsYgUXl5+jAy1jgDvVOQ+y0hWJ+Jh68G37b+lpkdNS4co3EPsNnoPkVAIgvA0kiKOEtZvBLpsCZlSifvYMXi88goya2tLh8a1+EyGLztKTLoaZ8dsKlZdRXTOdVQKFZ+2+JRulbtZOkThtsdit9HDhw8zYMAAfH19CQwMZMiQIUREROS7bsGCBYSGhuLi4kKrVq04evRo2QcrCILwmJHtn0VguzjsK6qRtFqS5n/D9T59yTl+3NKhEeLtyMZxLajr50x6pj3hZ4cT4tgYjV7DO/veYf7J+WIGyGPGYgmFXq9nwoQJvPDCCxw7doy///6b1NRUOnToQPY9g4lWrFjBxIkTmTFjBhcuXKBBgwZ06tSJ6OhoS4UuCILweOi3FOuWg/BvnYJPsxQUNhJ54eFEDn2RmMnvo0tJsWh4Xk42rB3VjO61K6DVqjh5tDfVbXsBsPjcYt7a8xZZeVkWjVEovHLV5REREUHlypXZtWsXHTp0AKBmzZq0bduW7777DgCDwYCfnx8vvfQSM2bMKFS5ostDEISnWsQB2DIBffQ1Es44kXbdHmQyKv36K7a1a1k6OgwGiTk7r/DdnnAAala9SqzyZ7QGLZWcKvF126+p4lrFwlE+vR6LLo//SktLA8DBwQGA1NRULl68SLt27UzXyOVy2rVrx8GDBy0RoiAIwuOnUksYcwBF1w+o2ExNpY6JeA1ub5ZMaC3Y6iuXy5jUpRrfDKqPrVLBhatVUSWOx93Gm4iMCAZvHcy2G9ssFp9QOOUmodDr9fzvf/+jdu3aPPPMMwDExsYC4OXlZXatl5cXcXFx9y1Lo9GQkZFh9hAEQXiqWamgzSQYdwTb517D/YP5plOak/sI69KVqAkT0MZYbupmz7o+/P5ac/zdbIlN8CLu4mgq29cjV5fLpH2TmHlkJhq9xmLxCQ9WbhKK1157jTNnzrBu3ToUCoXZOblcnu/5g3pqZs2ahbOzs+nh7+9fKjELgiA8dtwqQ6dP4M7f1bxscr4bDTodmX9tI7xbdxK++hp9lmXGLlSv6MQf41rSKsQDtcaOs8cHEqTsCcCay2t4ceuLRGZEWiQ24cHKRUIxfvx41q9fz65duwgNDTUd9/b2BiAxMdHs+oSEBNO5gkyePJn09HTT49atW6UTuCAIwuMu7jyuVbKo3CUBO08NkkZD8g8/EN65C6lr1iBpy35ZbFd7a5a/1JiJnaoil8k5c7YF7pmv4aR04VLKJQZuHsiW61vKPC7hwSyeULzxxhusXr2aXbt2UbduXbNz7u7uhISE8M8//5iOSZLEP//8Q7Nmze5bpkqlwsnJyewhCIIgFCCgCYw/iU3HFwnokIpfyxSsHXXoU1KIm/YJEUOGWmRXUIVcxhsdQlj5chM8HFRERAWQfHUc/na1yNHlMHn/ZN7Z945YsrscsWhCMXHiRFavXs3ff/9NvXr1CrxmwoQJLF26lL///pvs7GymTp1KUlISo0ePLttgBUEQnlQOntBzLrKxB3Fs14agbgl4N0hDYWPAsXVTZDIZcHsZ7zJOLppX8WDrGy1pWcUDtdqRiycG4y97DoVMwV83/qLfH/04GivWJioPLDZtNDk5GQ8PDxQKBVZWVmbnFi5cyIgRI0zPZ86cydy5c0lOTqZ69erMnz+f9u3bF7ouMW1UEAShCG7sh50fobfxQTZwGXIbGwAy//6blB+X4/nmG9g1alSmIRkMEksOXOeL7VfQ6iU83ONwClhHojoaGTKGVB/CGw3ewNbKtkzjeho8Fktvq9XqAo8rlcp8AzPBuAbFfwdoFoZIKARBEIpIkkCTCTa3/2am3SSiVxdyE4xP7Zs3x+P1cdg1aFCmYZ2PTueNtae4npgNMg01a/3DTd1uAPwd/fmk+Sc8U+GZMo3pSfdYJBRlRSQUgiAIj2jHh2h3fUfSRUfSrtuBwdgNYte0KR6vjcW+ceMyCyU3T88X26+w7OANALy9I1BVWE9qnnEA/6Bqg3izwZvYK+3LLKYnmUgo7iESCkEQhEeky4Mza2Dfl+RFR5N80YG0iLuJhcugF6g4ZUqZhnT4ejKTfjvDrZRckKupXuMfovR7APC28+b9Ju/TPqDw3eNCwURCcQ+RUAiCIJQQXR6cWQ37v0IbHUXSJQfSr9vjM+crnLoZdwg1qNXIrKyQ/Wd8XGnI0uj4YttlVhyORJLAzT0CR79NpOQZF0Zs79+eyU0mU8G+QqnH8qQSCcU9REIhCIJQwvQ6OP+bMbGo0A6rPjORKRQgSSTN+5y0P3bgNmI4zn37oXAo/a6HE5GpvLf+LNcSskCWR3DIIZKtdqCX9Nha2TKqziiG1RiGtcLyW7c/bkRCcQ+RUAiCIJQSgwH0GlAaZ1dI4Xu5MeQVNGlKAOROTrgOHIDr4MEofXxKNRSNTs/Cvdf5bm8YeToD1rZx+IX8RaL2CgCBToG82+hdWvm1KtU4njQiobiHSCgEQRDKyJ5ZGP7+jPQIO1KuOJCXebvbQ6HAsWNH3IYPx65B/VINITI5myl/XGDvlURAwqPCBZSef5KlSwWghW8LJj0ziWCX4FKN40khEop7iIRCEAShDCVegcMLkE6vJeumRMoVB3ISVAA4934On88+K/UQJEli+4V4Pt1ykeg046BN/6ADZFrvRS/pUMgU9K/an7F1x+Ju617q8TzOREJxD5FQCIIgWEB2MpxYBseWob6VQOpNX1w+WY1tLeO26erLl0n7bT0uAwdgU7VqqYSg1upZsv86C/aGk5OnR6ZMIjBkD8nSCQDsrOwYXnM4w2oMw8HaoVRieNyJhOIeIqEQBEGwIL0OrvwJciVU6248lpdN7OCWpJ03LnBoW78+LgMG4NS1C3I7uxIPIT5DzefbrvD7qSgkCaztb+BdeSdp+usAuKpcebXOqwyoOgAbK5sSr/9xJhKKe4iEQhAEoZw5tZLsRRNIDbMnM9oGJON6FnJ7e5y6d8e5bx9s69Uz7SNSUi7GZPD59sum8RV2Lhdx8dtFpt44zdTT1pNXar9Cv6r9UClUJVr340okFPcQCYUgCEI5k5cN53+HkyvQXjtO+g070sLt0GYbB3FaeXlSZc8e41TUUvBveBKzt13hzK00QI+9+ykcK+4lW58EgJedFyNrjaRfSL+nvsVCJBT3EAmFIAhCOZZwGU79jHR6LTmRGaRft8O662t4vPUuAJI6l6j/TcKxbVscO3VC4excItVKksTuywl8tfMqF2IyQKbD3v0kDt7/kGNIBsDNxo0Xa7zI86HP42jtWCL1Pm5EQnEPkVAIgiA8BvRauLYTYk9Du/dNhzOndiNqbQQAMuX/27vTqCjPsw/g/9kYhh1BNmVREFkUF9S4IkKwWI3FlRxrUo1Wja1Rk+ZE+1rztslRE49NmqY1xraeY9SSxkYBY5qosSwxKgSUEREQWZSdARlhGGBmrvcDr0+YABocZ4bg9TtnPjz3c88819y5yfx9VhnsZ0fBef58OMye/VjOtzAYCF9er8F7527ienVXsFAM+RZOXpnQGLqeD+Ioc8TS0Uvx85Cfw9Pe0+Rt/phwoOiGAwVjjP1Itd1F5+9HobnEBuoKBdqbZcIqka0tHOZEw/3FFx/LVSL391j8+aubuPL/h0JsnK/C1ScTGlQBAKQiKeaNmIfnw59HyJAQk7f5Y8CBohsOFIwx9iPWVAYojwP5J6AtvAF1uQLqCoVwvsWI5GTYju4KFJ3V1RA7OkLi8OiXgBIRvilR4UD6LaQV1QMwQOJwA24+F9EmKRL6TfSYiBWhKxDjFwOZWNb3B/7IcaDohgMFY4wNEvWFwLVPQfknoC26hVaXxXD7/YGuq0Hu1aBy0waos0tgP3UqHGNj4BATA5nnox+iKKhW42D6LaTmVaFTTxDb3oaz5wUY7PJggB5A1wmcS0ctxeJRiwfl4RAOFN1woGCMsUGo7gbg6AkoXAEAdOlDlL38FrQq4weA2YaFwSE6Gg5z5kAxdsyjbUqtxZGL5Th6qQKq1g6IpGrIXS/Bzj0LnVADACQiCaKGR2Fp8FJM95kOqdj8T1u1BA4U3XCgYIyxJ0BBKvDNX9Gen4V7d+RouWOLNpUMQNe9LGxDgzHiRLLQ3dDaCrF9/56Equ3U47O8ahy5VI7ciruASAep4zU4Ds2CzqZE6Oeh8MDCoIVICEqAv5P/4/h2VsOBohsOFIwx9gRpVQE3zwCFn0On/Aot5Z1oqVZAsfRVuK3fCADQX/sCxStehW1oKOxnzIT9zBlQjB0LkeyHnwuRX9WMIxcrkHKlEq0deohtamHjmgWF6xXoRC1Cv4ihEXhm5DOID4iHi63L4/62ZseBohsOFIwx9oTSdQC3LwH1N4ApvxSaW/5nBm7/u9Goq9hOAbspT8F+2lQ4xMbCZvjwH7SJ1nYdPlNW419Zt5Fd3tS118KhAIoh3wJ2hQC6fmalYilmDpuJeQHzEO0bDTvZ47/FuDlwoOiGAwVjjDGBwQD8ew06875Ca3k7Wmts0VpjA33Hd3fl9Prf1+H67LMAAF1TE/QNDbAJDIRILH7gR5fUt+BETiVO5Fai8m4bRFI1pE5XoXC9ArKpFPrZSmwRNTwKcQFxiBoWNaDDBQeKbjhQMMYY68Gg77qJ1q3/gkrOQ3v1W2iqRGht9YPXXz6Gjb8/QITG7YtQe7IQEmdHKCInw27SJNhNioRtaGifh0gMBsKl0kakXK3EaWUNmts6IbaphdT5Kmxd8kDSBqGvXCLHdJ/piPWLxezhswfcYREOFN1woGCMMfZQnVrgThYgswOGR3a1NRSjfkM0VAUOIL3x3gmRXAbF2LHw3r0HNr6+fX5sh86AzJv1SLlShXMFdbjX3gmxbSWkjkrIna8BMpXQVywSY4LHBMzxnYOo4VEIcAp47A9I6y8OFN1woGCMMfZI1NVAzmFQ6dfQ5l2BpkoHTb0cbQ020HeIAZEIwVlZkDjYAx2tUO1/D9o7jVBEjIMiYizkISEQy797amm7To+vbzbgtLIGZwtqcVfTAbG8GlLHa5A5FUAsrzbavK+jL2YNm4WZw2Yi0jPSKodGOFB0w4GCMcaYyfQ6oPYaUHERVHEJHdcuoz1gJZxe2N61vvgMylZtQFv3+2BIJbANDIBtxETYjh0Dl6VLhfMwdHoDssqacOZ6Lc4U1OB2YxtEskZIHQq6XvalgEgvfJRMLMNEz4mY7jMdT3k/hRDXEEjE5nkaa3ccKLrhQMEYY8wsiID7hyRyPkLrP34LTY0B2kYbtKlk0Ld/94MvHeKMURcudi10aNB47GNAZgPbkBDYBAejrA04f6MeX92oQ1ZZI3TQQmp3ExKHG5A6FEEsazbatJONE6Z4TcFkr8mY5DUJQS5BEIsefNLoo+BA0Q0HCsYYYxah1wENRUBVDujOt+i8kQ1tUSm0DQAmr4LHb9/s6nfpAIrW/xF67XcBQOblDnlICGzDxgJhY3DFJxwZxfVIL6pHmaoVYpt6SOyLIbUvhsSuFCJJu9GmXeQumOgxEfNHzsfcgLmP7StxoOiGAwVjjDGr0Xd2PYNkaAgg6bodN518CfWHP0X7XRm0d6XQaYxv0203YQz8//lJ18K9GpTsehcVUldcFbvinNYB+aQA7Gogtb8JiV0pJHZlEIk7AQDxw1dgb+z2x1b+D/0NHRw3GmeMMcYGKokM8DJ+hoho4bvwiNoK1OYDtfnQleaivfAG2ivqob0rgXxOrNDXcGYPOk58AS8AXgB+AgASMXTuQ1Dr4o1zbuPxT49VXVeO2N+CwfnRnldiKg4UjDHGmKWJxcCQEV2v0AWQRnf9INt3tgGqEqMAQppGDI1Qo0MtRXuzFO1qKUgPSGsbMKy2AS8tGoHN2+Yiu7wRRUWFmDY2wipfiQMFY4wxNlDIFD32ZkhWHob7cg2gKgYaikG1N6ArzUd7SQk6alths2AhHJxtsSDCB3CvA3zcrFI6BwrGGGNsoLOxA7zHAd7jIBoLyND1MrrKBAAcPK1UIPD4ry9hjDHGmGV8/y6aTt7WqQMcKBhjjDH2GHCgYIwxxpjJOFAwxhhjzGQcKBhjjDFmsgERKJRKJY4fP476+vpe1xMRsrKycOrUKZSVlVm2OMYYY4w9lFUDxfnz5zFz5kwkJCRg2bJlyM/P79FHrVZj1qxZWLhwIfbt24fw8HDs2LHDCtUyxhhjrC9WvQ9FU1MTdu/ejREjRsDX17fXPjt27EBtbS0KCgrg4uKCtLQ0REdHIyYmBjExMRaumDHGGGO9seoeisWLF2PWrFl9riciHDlyBGvWrIGLiwsAYPbs2Zg8eTKOHDlioSoZY4wx9jAD+k6Zd+7cQVNTEyIijO9LHhERgStXrvT5vvb2drS3f/dYV7Vaba4SGWOMMYYBclJmX5qbmwEArq6uRu1ubm64e/dun+/bvXs3nJ2dhVdfh1MYY4wx9ngM6D0UcrkcAKDRaIzaW1paYGtr2+f7tm/fjpdffllYbm5uhp+fH++pYIwxxvrp/m8nET2w34AOFL6+vpBKpaioqDBqr6iowMiRI/t8n1wuF8II8N1g8J4Kxhhj7NHcu3cPzs7Ofa4f0IHC1tYWc+bMwfHjx7F69WoAgEqlwrlz57Bv374f/Dk+Pj64ffs2HB0dIfr+g1QekVqthq+vL27fvg0nJ6fH8pmDAY9L33hsesfj0jcem97xuPTOXONCRLh37x58fHwe2M+qgaK8vBxZWVlobGwEAKSlpaGhoQFhYWEICwsDAOzZswezZs3C6tWrMW3aNBw8eBDBwcF44YUXfvB2xGIxhg8fbpbv4OTkxBO6FzwufeOx6R2PS994bHrH49I7c4zLg/ZM3GfVkzJLS0uRlJSEL7/8EkuWLIFSqURSUhKuXbsm9Jk4cSK+/fZbuLq6Ii0tDUuWLEFGRobRIQ3GGGOMWZdV91BER0cjOjr6of1CQkLwxz/+0fwFMcYYY+yRDOjLRgcyuVyO119/nfeUfA+PS994bHrH49I3Hpve8bj0ztrjIqKHXQfCGGOMMfYQvIeCMcYYYybjQMEYY4wxk3GgYIwxxpjJBvSNrQaqe/fuobCwEO7u7ggICLB2OVaj1WqRk5MDb29vjBgxotc+zc3NKC4uhqen5xNzp9K2tjYUFRVhyJAhD/zOBQUF0Gq1GDNmDGQymQUrtJ66ujpUVlbCz88Pbm5uvfZRqVS4desWfH194eXlZeEKraukpATV1dWIiIjocR8Bg8GA/Px8EBHCw8MhkUisVKVlVFZWorS01KhNLBZj+vTpPfrW1dWhvLwcAQEBGDp0qKVKtLrGxkaUlpYiODgYjo6OPdbrdDrk5+dDKpUiLCzssd3YsU/E+uXgwYNkZ2dHo0ePJnt7e5o3bx61tLRYuyyLamhooN/85jfk4+NDCoWCNm/e3Gu/9957jxQKBYWGhpJCoaDFixeTVqu1bLEWpFKpaN26deTi4kLjxo0jd3d3ioyMpIKCAqN+ZWVlFBERQe7u7hQQEECenp50/vx56xRtIbm5uTR79mzy8fGhCRMmkEKhoOXLl5NGozHqt3PnTpLL5RQWFkZyuZzWrFlDer3eSlVb1u3bt2no0KEEgDIyMozW5eXlUWBgIHl7e9OwYcPI39+fcnJyrFSpZezdu5fs7e1pxowZwismJsaoj8FgoE2bNhnNmVdeecVKFVtOW1sbvfDCC6RQKCgyMpJ8fX3pnXfeMepz4cIFGjZsGPn6+pKHhweFhIRQYWGhWeviQNEPeXl5JBaL6dixY0REVFdXRwEBAbRp0yYrV2ZZubm59Pbbb1N9fT1FRkb2GiguXrxIIpGIUlJSiIiosrKSfHx8aPv27Rau1nLy8vLowIED1N7eTkRdf/Tz58+nsWPHGvWbOXMmxcbGUkdHBxERvfLKK+Tm5kbNzc0Wr9lSTpw4QVlZWcJyRUUFubm50RtvvCG0nTx5kmQyGX399ddERHTjxg1ydnamP/3pTxav19J0Oh3NmjWLXnvttR6BQq/XU0hICCUmJpLBYCAiopUrV9LIkSOps7PTWiWb3d69e2ncuHEP7PO3v/2NHBwcKC8vj4iIsrKySC6X09GjRy1QofWsXLmSAgMDqby8nIiIOjo66MMPPxTWazQa8vHxoY0bNxJR1/z66U9/ShMnTjRrXRwo+uHll1+moKAgo7Y9e/aQs7Mz6XQ6K1VlXX0FinXr1tH48eON2nbs2EGenp4WqmxgOH78OAEQwkJRUREBoLNnzwp9GhoaSCqV0kcffWStMq1iypQptGHDBmF54cKFFB8fb9Rn7dq1D/1RGQx+97vfUUJCAhUXF/cIFOnp6QSArl27JrQVFhYSADpz5ow1yrWIvXv30pgxY+jq1atUUFAgBPDupk+fTitXrjRqS0hIoNjYWEuVaXH3/9t/+umnffb59NNPSSQSUVVVldCWmZlJACg3N9dstfFJmf2Qm5uLyMhIo7YpU6agubkZt27dslJVA1NfY1VbW4vq6morVWV5WVlZGDp0qHA8PDc3FwCMxsbNzQ0jR44U1g1Wer0emZmZOHv2LLZt24Y7d+5g06ZNwvq+5sy1a9fQ2dlp6XItJi0tDYcOHcLBgwd7XZ+bmwu5XI7w8HChLTg4GE5OToN+zuTn5+PZZ59FXFwcPDw88I9//MNofV9zZjCPy7lz5yCVShEfH4/S0lLk5eVBo9EY9cnNzYWPjw+8vb2FtilTpgjrzIVPyuyHxsZGhIaGGrXdP7Hs/gPOWJfGxsYeJ911H6vuE32wunTpEt59913s3btXaGtsbIREIunxoB03N7dBP4fa2tqwbds2tLS0oLi4GC+99BJGjRolrO9rzuj1eqjV6j5P4vwxU6lUWLlyJf7+97/D3d0dd+/e7dGnt3EBBv+cGT9+PIqLixEYGAgA2L9/P9auXYugoCBERUVBq9Wira2t1znT1NQEIjL/SYhWUFVVBTc3N/zyl79EZmYmHBwcUFZWhjfffBNbtmwB0PuckclkcHR0NOuc4UDRDzKZDFqt1qitra0NAGBjY2ONkgasJ32s8vPzsWDBAqxatcroX+EymQx6vR6dnZ1G49DW1jbox8XBwQGZmZkAup40fP9H4Z133gHwZM6ZrVu3IjQ0FHZ2dsjMzERlZSUAQKlUws3NDaGhob2OCzD458zTTz9ttPziiy/iwIED+PjjjxEVFSVcGdXbnJFKpYMyTABdfye1tbXw8vJCaWkpRCIRPvnkEyQmJmLq1KmYOnVqn3NGq9Wadc7wIY9+8Pf3F/7g77u/7OfnZ42SBqy+xsqcj5IfKK5fv46YmBgsWrQI+/fvN1rn7+8PoOtfGd1VVVU9UXPI398fy5cvx+eff27U1tuccXFx6fWSuMHA2dkZGo0G27Ztw7Zt24S9Wfv378dHH30EoGtcmpqajHZrt7e3Q6VSPVFzBgA8PT2FOSKRSDBs2LBe58z9v7PB6P6tCtavXy+EpmXLlsHV1VUI7P7+/qipqYHBYBDeV1dXh87OTrPOGQ4U/RAXF4f09HQ0NzcLbcnJyZgwYcKg3B1riri4OJw9e9bof4LJycmYMWMGFAqFFSszr4KCAsTExGDhwoU4cOBAj38lTZs2Dfb29khJSRHavvnmG9TV1SEuLs7S5VpMa2trj7abN28a/d3ExcXh9OnT0Ov1QltycvKgHpc///nPyMzMFF5JSUkAgL/+9a/YtWsXACAmJgZisRinTp0S3nf69GnodDrExsZapW5L+P6caWpqQnZ2NsaMGSO0xcXFITU1FfT/j6QyGAxITU0d1HMmNjYWEonEKEip1Wrcu3dPuAdHXFwc1Go1/vvf/wp9kpOTYWNjg6ioKPMVZ7bTPQehtrY2CgsLo6ioKDp58iTt3LmTJBIJff7559YuzaJ0Oh1lZGRQRkYGjR49mpYtW0YZGRlGZw+r1WoaOXIkzZ07l5KTk+m1114jqVRKaWlp1ivczMrKysjLy4umTJlC6enpwhhlZGQY3W/hrbfeInt7e9q/fz8lJSVRYGAgLVq0yIqVm198fDzt3LmTUlNTKTk5mdauXUtSqZROnz4t9KmqqiIPDw9aunQppaSk0Pr168nOzo6USqUVK7es3q7yICLaunUrubu706FDh+jw4cPk6ekpXBI4WM2YMYP+8Ic/0GeffUZHjhyh8ePHU0BAANXW1gp9ioqKyMnJiVatWkUpKSm0YsUKcnV1pbKyMitWbn6vvvoqBQUF0bFjxyg1NZViYmIoKCiI1Gq10Oe5554jPz8/Onr0KB08eJCcnZ1p586dZq2LnzbaTw0NDXjrrbeQm5sLNzc3bNiwAXPmzLF2WRbV0tKC+Pj4Hu2jRo3CoUOHhOWamhrs2bMHSqUSnp6e+NWvfoUZM2ZYslSLysjIwPbt23tdd+zYMaNdjUePHsXHH3+M9vZ2xMTEYMuWLYP6UcwajQYffPAB0tPTYTAYEBwcjPXr1xudlAkApaWlePvtt1FYWAg/Pz9s3boV48aNs1LVlldZWYnExETs378fY8eOFdoNBgM+/PBDpKSkgIgwf/58vPjii4P6bpnNzc34y1/+ggsXLkChUGDSpEn49a9/DXt7e6N+169fx759+1BaWorAwEC8+uqrCA4OtlLVlkFEOHToEE6cOAGDwYDIyEhs3boVrq6uQp/Ozk68//77+OKLLyCVSrFkyRKsWrXKrOeWcKBgjDHGmMn4HArGGGOMmYwDBWOMMcZMxoGCMcYYYybjQMEYY4wxk3GgYIwxxpjJOFAwxhhjzGQcKBhjjDFmMn44GGPMSE1NDdLT07F8+XKLb/vWrVu4fPkyACA8PNzo5k799Sjfo6GhAWfPngUA+Pr6DuobsTH2uHGgYOwJoVKpcObMmQf2iYyMRElJCVasWGGVQPHVV19h8+bNeOaZZyAWi00KFFeuXOn391CpVDh58iSys7Mxfvx4DhSM9QMHCsaeEE1NTTh58qSwnJ2djcbGRsydO1doGzJkCLy9vZGYmGiFCrsMHTpUeEiWKR7le4wePRpJSUnYsGEDGhoaTK6BsScJBwrGnhBBQUFGP9QbNmxAdnZ2jx/vmpoa/OxnPxOW79y5g8uXLyMhIQFKpRLl5eWIiIhAQEAA9Ho9Ll26hMbGRkyePBmenp49tltdXY3s7Gw4Ojpi4sSJcHJy6lfdj7p9T0/PXr/HokWLoFQqUVFRgfDwcIwYMaJf9TDGeseBgjFm5PuHCi5evIhf/OIXGDNmDGxsbCAWi/H111/j3XffxeHDh6FQKKDX66FUKnH27FlMnjxZ+Kw33ngD+/btw9SpU6HRaHDjxg0cO3YMTz/99A+u51G339f3mD59OlpbW+Hg4IC0tDR88MEHWL169WMcQcaeTHyVB2PsoTQaDVavXo2MjAykpaVh1apV2LRpEzZu3Ii0tDRkZmZi3rx52L17t/Ce1NRUvP/++8jLy8N//vMfpKenY/fu3Xjuueeg1WrNvv2+PichIQEXLlzAl19+iV27dmHbtm2PNCaMMWMcKBhjDyWRSLBmzRphedq0abC1tcXzzz9v1FZUVCQsHzp0COHh4bh8+TI++eQT/Otf/4JUKkVNTQ0KCgrMvv2+PmfdunXCcnR0NOrq6nD37t1+1cMY64kPeTDGHsrBwQEymUxYlsvlcHZ2hlgsNmrrvuehrKwM7e3tOH78uNFnJSYmGr3PXNv/oZ8DoN97TBhjPXGgYIyZhZOTE/z8/HD48GFrl8IYswA+5MEYM4v4+HgkJyejurraqL2ystJKFTHGzIn3UDDGzGLz5s04deoUnnrqKWzcuBFDhgxBTk4O0tPTcf36dWuXxxh7zHgPBWNPqMmTJ+MnP/lJj/bv3xDK19cXS5YsMeoTEBCAhIQEo7agoCAsWLBAWFYoFDh//jx27dqF0tJS5OTkYNKkScjJyXlgXa2trUhKSoJSqTRp+z/ke7i4uCAxMREKhQJA1623k5KSUFJS8sAaGWM9iYiIrF0EY4wBwPnz53HgwAEAwOLFiy1+++/CwkK8/vrrAICpU6diy5YtFt0+Yz9mHCgYY4wxZjI+5MEYY4wxk3GgYIwxxpjJOFAwxhhjzGQcKBhjjDFmMg4UjDHGGDMZBwrGGGOMmYwDBWOMMcZMxoGCMcYYYybjQMEYY4wxk3GgYIwxxpjJOFAwxhhjzGT/B4GaqivLXJLmAAAAAElFTkSuQmCC", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "averaged = {\"storage along flow path\": \"averaged\"}\n", "mush = pytes.MushModel()\n", "runs = {\n", " \"sharp front, resolved\": (sharp_front, None),\n", " \"sharp front, averaged\": (pytes.SharpFrontModel(options=averaged), None),\n", " \"mush, resolved\": (mush, {mush.x: 10, mush.y: 10, mush.z: 10}),\n", " \"mush, averaged\": (pytes.MushModel(options=averaged), None),\n", "}\n", "solutions = {}\n", "for label, (model, var_pts) in runs.items():\n", " start = time.perf_counter()\n", " simulation = pybamm.Simulation(model, var_pts=var_pts)\n", " solutions[label] = simulation.solve([0, 3600], t_interp=t_eval)\n", " elapsed = time.perf_counter() - start\n", " print(f\"{label:22s} {elapsed:6.2f} s\")\n", "\n", "fig, ax = plt.subplots(figsize=(6, 4))\n", "for label, sol in solutions.items():\n", " style = \"-\" if \"resolved\" in label else \"--\"\n", " ax.plot(\n", " sol[\"Time [min]\"].entries,\n", " sol[\"Outlet temperature [degC]\"].entries,\n", " style,\n", " label=label,\n", " )\n", "ax.set_xlabel(\"Time [min]\")\n", "ax.set_ylabel(\"Outlet temperature [°C]\")\n", "ax.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "2a1c6d7e", "metadata": {}, "source": [ "The two models agree closely, resolved or averaged: with these thin, closely spaced fins,\n", "homogenising them barely changes the result. The mush model is the one to use when the fins\n", "are thicker or further apart, or when the temperature between the fins matters.\n", "\n", "The averaged forms are many times faster, and they store and deliver the same energy, but\n", "they change the shape of the outlet temperature. In an averaged model the whole storage sees\n", "the fluid averaged along the tube, so it gives up its heat evenly along the tube instead of\n", "from the inlet onwards. Early on, it keeps more of the fluid warm and the outlet stays\n", "hotter; later, the whole storage is spent at once and the outlet falls faster. The averaged\n", "models suit quick estimates of the energy and the duration of a discharge, and studies with\n", "many runs; the resolved models are needed for the outlet temperature over time.\n", "\n", "Every variant has the same outputs, conserves energy exactly, and runs the same experiments\n", "(Tutorial 6). The next tutorial does the same for the packed-bed family." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Next: [Tutorial 3: packed-bed models](tutorial_3_packed_bed_models.ipynb)." ], "id": "267ceed3" } ], "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": "3.14.4" } }, "nbformat": 4, "nbformat_minor": 5 }