{ "cells": [ { "cell_type": "markdown", "id": "1cd2dacd", "metadata": {}, "source": [ "# Plot colours\n", "\n", "PyTES has its own plot colours (DESIGN D15), chosen to stay readable with colour-vision\n", "deficiency and led by the brand orange:\n", "\n", "- the colour cycles **PyTES Thermal**, for light backgrounds, and **PyTES Thermal (dark)**,\n", " for dark ones, as the matplotlib styles `\"pytes.thermal\"` and `\"pytes.thermal_dark\"`;\n", "- the colourmaps **ember** (sequential) and **thaw** (diverging), perceptually uniform,\n", " registered with matplotlib as `\"pytes.ember\"` and `\"pytes.thaw\"` (and reversed, ending\n", " in `_r`) when `pytes.plotting` is imported.\n", "\n", "They are available but not yet the default: matplotlib's own colours apply until you ask for\n", "these. This notebook shows each of them on a packed bed charge.\n", "\n", "[Tutorial 5](getting_started/tutorial_5_plotting.ipynb) introduces plotting PyTES solutions." ] }, { "cell_type": "code", "execution_count": 1, "id": "48b236f6", "metadata": { "execution": { "iopub.execute_input": "2026-11-01T11:17:09.668386Z", "iopub.status.busy": "2026-11-01T11:17:09.668199Z", "iopub.status.idle": "2026-11-01T11:17:11.186386Z", "shell.execute_reply": "2026-11-01T11:17:11.185228Z" } }, "outputs": [], "source": [ "import matplotlib.pyplot as plt\n", "import numpy as np\n", "import pybamm\n", "from matplotlib.colors import CenteredNorm\n", "\n", "import pytes\n", "from pytes import plotting\n", "\n", "model = pytes.PackedBedModel()\n", "solution = pybamm.Simulation(model).solve([0, 1800])" ] }, { "cell_type": "markdown", "id": "e91fd9d9", "metadata": {}, "source": [ "## Colour cycles\n", "\n", "Use a cycle for one figure with `plt.style.context`, or for every figure with\n", "`plt.style.use(\"pytes.thermal\")`. Seven fluid temperature profiles, every 2.5 minutes as the charge front crosses the\n", "bed, use all seven colours in order:" ] }, { "cell_type": "code", "execution_count": 2, "id": "cec00a07", "metadata": { "execution": { "iopub.execute_input": "2026-11-01T11:17:11.187998Z", "iopub.status.busy": "2026-11-01T11:17:11.187741Z", "iopub.status.idle": "2026-11-01T11:17:11.350920Z", "shell.execute_reply": "2026-11-01T11:17:11.350030Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "times = np.linspace(0, 900, 7)\n", "with plt.style.context(\"pytes.thermal\"):\n", " plotting.plot_fluid_profiles(solution, times)\n", " plt.show()" ] }, { "cell_type": "markdown", "id": "a8583c14", "metadata": {}, "source": [ "For dark backgrounds, combine a dark style with PyTES Thermal (dark), which comes second so\n", "that its colours win:" ] }, { "cell_type": "code", "execution_count": 3, "id": "0fb03cf3", "metadata": { "execution": { "iopub.execute_input": "2026-11-01T11:17:11.352256Z", "iopub.status.busy": "2026-11-01T11:17:11.352123Z", "iopub.status.idle": "2026-11-01T11:17:11.491479Z", "shell.execute_reply": "2026-11-01T11:17:11.490588Z" } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "with plt.style.context([\"dark_background\", \"pytes.thermal_dark\"]):\n", " plotting.plot_fluid_profiles(solution, times)\n", " plt.show()" ] }, { "cell_type": "markdown", "id": "5875713f", "metadata": {}, "source": [ "The colours are also `plotting.THERMAL` and `plotting.THERMAL_DARK`. A style does not reach\n", "`pybamm.QuickPlot` (and so `Simulation.plot`) until PyBaMM uses matplotlib's colour cycle\n", "there (pybamm-team/PyBaMM#5953); meanwhile, pass the colours to it:\n", "`pybamm.QuickPlot(solution, colors=list(plotting.THERMAL))`.\n", "\n", "## Colourmaps\n", "\n", "Ember runs from dark brown through the brand orange to cream, with lightness rising steadily\n", "and equal perceptual steps, so it suits a field such as the fluid temperature along the bed\n", "over time:" ] }, { "cell_type": "code", "execution_count": 4, "id": "b5a65310", "metadata": { "execution": { "iopub.execute_input": "2026-11-01T11:17:11.493007Z", "iopub.status.busy": "2026-11-01T11:17:11.492853Z", "iopub.status.idle": "2026-11-01T11:17:11.628372Z", "shell.execute_reply": "2026-11-01T11:17:11.627517Z" } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fluid = solution[\"Heat transfer fluid temperature [degC]\"]\n", "z = fluid.mesh.nodes\n", "t = solution[\"Time [h]\"].entries\n", "T = fluid(t=solution.t, z=z)\n", "\n", "fig, ax = plt.subplots(figsize=(5, 3.5), layout=\"constrained\")\n", "field = ax.pcolormesh(t, z, T, cmap=\"pytes.ember\", shading=\"nearest\")\n", "fig.colorbar(field, label=\"Fluid temperature [°C]\")\n", "ax.set_xlabel(\"Time [h]\")\n", "ax.set_ylabel(\"Distance along the flow path [m]\")\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "8f33876c", "metadata": {}, "source": [ "Thaw is diverging, from blue through a pale centre to orange. Centre it on a reference value\n", "with matplotlib's `CenteredNorm`, here the PCM melting temperature: the pale band is the\n", "fluid at the melting temperature, orange above it and blue below. `CenteredNorm` makes the\n", "range symmetric about the centre, so a kelvin is the same step in colour on both sides,\n", "and the orange side stops short of its darkest red because the fluid never gets 28 K above\n", "the melting temperature. (`TwoSlopeNorm` would stretch each half over its own range, here\n", "28 K below the centre and 10 K above, so that a kelvin would look 2.8 times bigger above\n", "it. It suits two sides that are not comparable, such as different units.)" ] }, { "cell_type": "code", "execution_count": 5, "id": "7f482af6", "metadata": { "execution": { "iopub.execute_input": "2026-11-01T11:17:11.629825Z", "iopub.status.busy": "2026-11-01T11:17:11.629685Z", "iopub.status.idle": "2026-11-01T11:17:11.764950Z", "shell.execute_reply": "2026-11-01T11:17:11.764142Z" } }, "outputs": [ { "data": { "image/png": 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Z/dLtdh1l9ku22nU1ry+K89MCrmX1qymn77aMvpty+ZXK4xfz1Ja5Ml/Dndl818equQ5ylaWk255awTn+2sjl328GDx7s8qBy1iUiInI3uZ35lBwhqK1c3uNfu3YtsrKyXF6XiIiopsi9IU/xNnWBrEP9fn5+VTUPIiIit1GpJKhk5vm4x19KcnJyVc6DiIjIbVQK9vhZ+Eu56aabqnIeREREVA0UXdVPRETkySrTnc/bsfBT1StuuVuy9a4a1va7KgmSFlAZNVBpVNAZdPAxmaAxBADaABT6RCFfE4xgXz2CfCRr612jNa7nayjbdtegLY7wSUURPmvLXWtkz1wqvudau93yWu0qiu0pjOy5HNdTEtVzJVamINrlljheSdXYMhdgPM/+NZT9XUqWmrkdnqJ79fNQPxERUe3EG/g4x8JPREReR9G9+nmov3zZ2dk4dOgQ0tLSyjzXu3fvSk2KiIioMhjnc05R4d+4cSOGDx+Oy5cvO3yeTXqIiKgm8QY+zil6m0lJSRg7dizS0tIghCjzICIiIs+kaI//9OnTePbZZ2Eymdw9HyIiokqTFMT5ZPb0qbUUd+c7deoUWrZs6e75kLdwFOHToUwHPrVGBR9fH+gMvlAZAiF0ocgzRsNo8oVJBzQIUMGoAwKMEnz11vieSX89vmfSF0X2NNYoX3HnPY3KXKrrnoBGpSy6J9l140PR1xIAqWxsz2z90y625yyyV1Fcr7qiei5GvNwazatMLA9QFM0Dak88z+XxZLwft/79yfkca6jDH8/xO+dy4T979qzt6/Hjx2P06NGYN28emjZtCqnUr0mRkZHumyEREZFMPMfvnMuFPyoqqsyynj17OlyX5/mJiKgmMcfvnMuF/+DBg1U5DyIiIrepzXfuO336NK5cueLy+o0aNUJgYKDL67tc+OPj421f9+7dGz/88IPD9cp7joiIqDrU5j3+qVOnYsWKFS6v/8UXX+C+++5zeX1FF/dt2rTJ4XKLxYItW7YoGZKIiIiKLF68GHfddVeF6z3yyCOyx5ZV+I8dO+bwa8Ba9Ldv346GDRvKngQREZE71eZD/e3atUOzZs0QGhpa4bqdOnVC/fr1ZY0vq/DHxcU5/LqYwWDAwoULZU2AiIjI3VSSgjifh+T4p02bViXrFpNV+E+ePAkAiI2NtX1dTKvVIjw8HBoN+/7USSX+2oWmROvdoty+pJUg6dVQ69TQGXQwGo3Q+gTZWu8Knwj4GSSEmiQE+0oIMEowagH/oj9Nevu2uwatBK0GMGjsW+5eb7t7PbNfnNHXFGX3JQklvhYO8/rF6znM65fIQwsZWX2lOX3FGX0X8tOKst2VzeCX5oGZfNnju6t1bnXdU8Fd2Xo332vAnSS1CiqZXXckdd1IpMmq0o0aNQIAZGZmwtfXtyrmQ0REVGnWG/jIO3avUlmqaDbymc1mJCYmYvXq1YiOji7z/IcffoijR4/ilVdekT22ojMaLPpEROTJVGq1ooenWL16NeLi4hwWfQAYOXIkPv/8c6Snp8seW9Fx+cLCQrz33ntYtWoVzpw5g8JC+0M5Je/yR0REVN0klRqSzD1+yVNO8gPYtWsXbrzxRqfPGwwGNGrUCH/99RduvvlmWWMr2uN/8cUXsWDBAgwZMgSnT5/GzJkz0bdvX1y4cEFWlpCIiIjKSk1NRVhYWLnrhIWF4cKFC7LHVlT4ly5dihUrViApKQkA8Oijj2LJkiV4//33sW/fPiVDEhERuU1tP9QfERGBAwcOlLvOX3/9JTvKBygs/GfOnEH79u0BAEajEZmZmQCAYcOGITk5WcmQREREbiOp1YoenqJ///748MMPcfr0aYfPf/bZZ7h69SpuuOEG2WMrOsdvNpttsb3Y2Fhs27YNt99+Ow4fPgyj0ahkSKqNSrTeFcUxGDWs7XeLInwqnRoanRoGHwP0BhPUPiGwGCKQr28Afz9f+BskhJgkBJsAX70Ef+P1CF/JtrvFUT6tWthie9fje7C14C0d3VOrRIl4nn10r8LYnrmc2J4rkT0X4npOI16ViOnJinq5K5rnhpavHhPPc3cr3qqIVVZnHK8CFc3dre2AZZAkBef4Jc85x9+9e3d06dIFbdq0weTJk3HTTTchJCQEZ86cwerVq/HFF1/gk08+gVarlT12pUP348aNw/3334+bb74Zv/76K0aOHFnZIYmIiCpFUqtk78FLnrPDDwBYsWIFnn76abz88svIy8uzLW/QoAE+++wzjBgxQtG4igp/QUGB7euJEyciOjoaycnJuO+++zBq1ChFEyEiInIXSa1RUPg9Z48fsF65/9Zbb+Gll17CH3/8gczMTERERKB169ay71FQkqLCX/rufIMGDcKgQYMUT4KIiMidlJyz97Q9/mK+vr645ZZb3Dae4kP9//zzDz788EMcPHgQAJCQkICxY8e61FSAiIiIyvfVV19h165dGDFiBNq0aeO2cRUdK/jxxx/RuHFjfPDBB8jJyUFOTg4WL16Mxo0b4+eff3bb5IiIiJSwHuqX//AUK1euxKuvvoqEhAT0798fFy9edNvYigr/xIkT8dhjj+HYsWNYtWoVVq1ahWPHjmH8+PGYMGGC2yZHRESkhPXOffIfnmLjxo0YP348Ro8ejRtvvBG//vqr28ZWVPiPHz+OadOm2V1coFKpMHXqVBw7dsxtkyMiIlJEpQbUGnkPDyr87dq1w5o1a/Drr7/it99+Q0JCgtvGVnRco1mzZjh27Bg6duxot/z48eNo1qyZWyZGHqjC1ruApFVBbdDYWu9q9CZIhjCYDRGAbxRCfa25/QCjhGCTBKMO8DdY8/vFWf3iFrxaNaDXWNvs6tTmMi131bbWuyjxvX1Gv+T3km2ZBAnWnL9dXl+YrUuVZvVdbanrLNdc2Xy+0ky+m3PWsvP4Cubh7pa5ssZ0Vy7fHVn8asjhV3oeNdSWF2q19SFrG89pyztu3DikpaVhzpw5eOutt9C4cWO3ja2o8I8bNw733HMPnn/+eXTs2BFCCOzevRv/+c9/MH36dLsmPZGRkW6bLBERkUtUGutD1jaur5qbm4uZM2c6fK5v377o27ev7fuUlBSsXLkSV69eRWJiIu68884Kx9doNPjPf/7j+oRkUFT4x48fDwAYPXp0mefGjRtn970QnvMbFBER1Q1KLtaTE+eTJAkRERF2yw4fPowPP/wQXbp0sS3btWsXevbsiV69eqFZs2YYO3Ys+vXrh08++cTp2AUFBVCr1S5l9eWsW0xR4S+O8BEREdVFer0eU6ZMsVs2YcIERERE2O3RT5w4Ef369cOqVasAAEOHDkViYiLGjBmDbt26ORz7gQcewODBg13qditn3WKKCn98fLySzYiIiKpH8QV7srZR/nK5ublYvnw5xo0bZ7vJ3d9//42dO3dixowZtvU6deqE+Ph4rFmzxmnhB4AtW7YgKyurwtc9ceKE7Ll6TmiRiIjIXVQq+Vfpq6xNujIyMuwW6/V66PX6cjddvXo1rl69irFjx9qWHTlyBADQpEkTu3WbNGlie86RsLAwrFu3Dhs2bHBp2iaTyaX1irHwExGR91G0x2+9Ji0qKspu8XPPPYdZs2aVu+lHH32EXr162V19n52dDQDw9/e3WzcgIADnzp1zOtbChQuxcOFCOTOXhYWfyucswqcDoJIgGaytd7UGLYw+Bmh1RmvrXWMk8vQN4eOjR1hRhC/MT0KA0RrfM+mt7Xe16rLxvZLRPZ3aUhTZux7XcxTdc9Zq12GbXWexPUeRvdJRJ2exPkfr2pY7jzO5FKVyNabnplie4jheSVXVMlfG2O5qmWsdq4riebUhjufyPByPUVNteSEpuKpfshb+lJQUu2Jd0d7+yZMnsWXLFnz55Zd2y319fQEAV69etUu4Xb16FX5+fvLm5kaKbuCzdu1aXLlyxd1zISIico/iHL/cB6x76CUfFRX+JUuWICQkBIMHD7Zb3qJFC0iShMOHD9stP3ToEFq0aOHWtyuHoj3+MWPGID09HW3atEH37t3RvXt3dO3aFUFBQbLHOnDgABYvXozU1FS0bt0aEydOLHNYpLRvvvkGGzZsQFZWFlq2bImHH34YISEhSt4KERF5o0oc6pfDYrHgk08+wejRo6HT6eyeCw0NRffu3fHBBx9gyJAhkCQJ33//PU6cOIF77rlH9mu5i6I9/kuXLmH37t0YNWoUTpw4gTFjxiA0NBTt27fH5MmTXR5n9+7d6NixI65du4Y+ffrgm2++QZcuXZCbm+t0mwcffBDLly9Hu3bt0L17d6xfvx7t27d3awMDIiKq5VRqZQ+ZvvvuO5w9e9buor6S3nnnHezbtw+dO3fG6NGjMXToUDz11FNl7nxbnSRRyTvsCCHw+++/44033sCyZctgNptdvmlPnz59YDAYsG7dOgDAlStXEBkZiXnz5uGxxx5zuM2lS5fsWv9mZ2cjICAAH330EUaNGuXS62ZkZCAgIACB4XMgqQwubVNnVfIcv78nneMvfS6f5/gd4jl+R2PxHH/F83A8Rsa1XIQOfgbp6ekVHs11h+L/36+8OQz+Rq28bXMKEPTESllz3bx5M06cOOG08APWc/rr16+33bmvJos+oHCP/88//8Tbb7+Nu+++G2FhYejTpw8yMzOxYMEC/PHHHy6NkZubiy1btuDuu++2LQsKCkKvXr3wf//3f063K1n0AWt/gMLCQrfex5iIiGo5tYImPXLv7Q+gZ8+e5RZ9AAgMDMTIkSMxYcIERUX//PnzmDhxIrp164aNGzcCsP7CsW3bNtljAQrP8bdu3RqhoaFISkrCrFmz0KpVK0jFHVBclJKSArPZXCY2ERUVhZ9++qncbffu3YvZs2cjIyMDBw8exGeffWZ3i8TS8vLykJeXZ/u+dEaTiIi8jJJD9x7Una/YpUuX0L59e9x00024fPky0tLSAACxsbEYMGAA9u3bZ7thkKsU7fE/8cQTaNCgAWbPno2HH34Y06ZNw//93/8hMzPT5TGKC7GPj4/dcl9f33LP8QNAw4YN8eCDD2L48OFo2rQpXn311XLP8c+dOxcBAQG2R+lfNoiIyMvI3ttXcDFgNVi8eDH69++PtWvXonXr1rblsbGxMBqN2Llzp+wxFb3LN954AwCQlpaGn376CT/++COmTZuGQ4cOoUOHDkhOTq5wjICAAAAoEwu8fPlyhemAevXq2WITDzzwAOLi4vDGG2/gpZdecrj+9OnT8eSTT9q+z8jIYPEvT9FPhSj+Uy2s5/S1EiStZGu9q9FpYDQaofcJhDBFo8DQADAEINxfhXpF5/MDjBL8jUXn9G3td63n9PVaQKuyntPXqc22lrsalcV2Dl+tsl4volEJh+fzS7faFcXnO83mCvP6Ds/jyz2HrzS77Mp5+6o8T+4KheeOq+J8vcvjVvc5+zpwjl620u+nVuX4LVUzl0o4evSo7da+pY+s16tXT9GF7Yr2+Iup1WpoNBpbZ6DCwkL89ddfLm0bGRmJ4OBg/P7773bL9+3bhzZt2rg8B71ej5iYGKSkpJS7TulcJhERebFK5Pg9SVhYGI4dOwbAvvBnZmZi9+7diImJkT2mosI/ZcoU3HjjjQgODsbIkSNx+PBhDB8+HDt27LCdf6iIJEkYOXIkPvroI9te/+bNm/Hbb7/hgQcesK33zjvv4IknngBgvSDw888/txtnx44d2LVrV7nNDoiIqI5Rqa17/LIenlf4H3jgASxatAgrV65Ebm4ucnJysG3bNtxxxx2IjIxE+/btZY+p6FD/oUOHcO+99+K9995Dhw4doFb4W9KcOXOwb98+NG/eHPHx8di9ezf+85//oHv37rZ19u7dix07dgAAtFottmzZghkzZqBZs2a4evUqDhw4gEmTJuGhhx5SNAciIiJP1bp1a3zwwQcYN24c/vnnH6xevRoAcMMNN+Drr7+WfWE9oLDwr1+/XslmZfj5+eHHH3/E3r17kZqailatWpU59z5hwgQMHz4cgPXUwocffoh//vkHf/zxB0wmE+Lj4xEYGOiW+RARkZfwkqv6AWDIkCG44447sGfPHqSlpSEqKkrWKfHSKnUJ47Fjx3Dw4EEIIZCQkICmTZvKHkOSJHTo0MHp8+3atSuzLCwsDL169ZL9WkREVDcItQZC5lX6Ql1DFyKWY+TIkRg4cCCGDRuGm2++2S1jKir86enpeOihh7B69WqoVNbLBCwWC4YMGYIlS5bYrtgnIiKqESoFV/WrPK/wh4SEIDU11a1jKir8SUlJOH78OLZu3YrExEQAwM6dO/H4449j8uTJWLJkiVsnSVXM2W151bge4dOrofPRXb8trykcFkME8vQN4eevR4MACcEmqSi+BwSZJJh0Egw6wKQDTHprfE9fFN3TqCx20T2NynpbXkkqP7rnsNVuUQRPlIztlY7sFS8HnEf2ysSQysabnEav3BzPq3S0yg0RKkVzcOftdAGXYmpuvZ2ugvdc6TieJ0fxajGhUkPILPxC5eZIrBuMGjUKDz74IO666y671r6Voajwr127Fr/88otdW8EuXbrgyy+/LPcOekRERNXCS87xr1u3DikpKWjSpAmaNWtW5oj67NmzZZ/6VlT4c3JyytwzH7AeksjOzlYyJBERkfsoOtTveXfua9WqFZKSkpw+Hx4eLntMRe/y5ptvxsyZM7Fw4UJb/+G8vDzMmDHDbRcfEBER1XVDhw7F0KFD3TqmosK/YMEC3HbbbVizZg3atm0LwHrHPZVKhQ0bNrh1gkRERHIJlYKr+j1wj78qKHqXbdu2xdGjR7F06VIcOHAAkiRh4MCBGD16NPz8/Nw9RyIiInm85Bz/v//9b3z77bdOn3/99ddx++23yxpT8a83fn5+mDBhgtLNiYiIqoyyq/o9r/DfdtttiI2NtVuWlpaGZcuWITo6GnFxcbLHdPlTuXTpksuDOrrwj4iIqNp4ycV9ffv2Rd++fcssnzRpEjp06IDg4GDZY7r8LsPCwlweVAgheyJUzZy13i3K7qv0Kqh0amgNWhiNRuiMfoBvLPKM0TCYfFHfT0KwrzW7H+wDBJok+Bus7XdN+uttd0vm9nVqS5mWuypJ2L53ltkXFrNdBr/cvH55Wf2SGeVSuWeHWezysvnuzqsrGLtKXlvhHDwyl++u13JFJXP0bsnhuzGDL5ndl2d3e7toF1n3+OXtwXviHr8zgYGBaNmyJfbs2YM+ffrI2lbWrzd79+6VNTgREVGN8JI9fmcyMzOxf/9+GAwG2dvKepfF981/4403ys0VEhERUeW99tpr2Lp1q92yvLw8/Pbbb2jQoIHt7rlyuFz4tVotCgoKoNVqMXnyZBZ+IiLyXF6yxx8cHFzmVr0GgwFDhgzBiBEjbPfSkcPld5mQkICJEyfafrv45JNPnK774IMPyp4IERGRuwiVSsE5flUVzUa5Ro0aoVu3bmjcuHGZ57Zs2YKYmBiHz5XH5cL/0UcfYerUqfjuu+8AADNnznS6Lgs/ERHVKEnBHr/keXv877//PgYPHuywuL///vu46667qq7w33DDDfjhhx8AAJIk4ezZs7JeiIiIqLoIlUZBjt/zCn95zp07h6CgINnbKXqXf//9t5LNqKY5i/CVaL2rNWhg8DFAbzBB7RMCizESucYYBPmrERWkQrAJCDZJCPKxRvf8jBJMOuufBo2Arii+VxzdK47raVTWP0tG99Qqa+xTrSrVarc4pmcpEd2rILZXUWSvTGzLUVSvgjiU7FhSJeJVNRnvkvXa7ojM1XQ0zxPa4rqjjbIbI3hOKYqn1lCr21p+574ZM2Zgw4YNOHHiBHbt2oX58+fbPX/p0iVkZGSgY8eOssdWVPgjIiKUbEZERFQtavsef2JiIvz8/PDFF1+gZcuWaNOmje05SZIQEhKC/v37V98ePxEREVWdgQMHYuDAgUhMTFR0AV95WPiJiMj71PJD/cV69Ojh9jFZ+ImIyOt4S5MeAMjPz8fXX3+Nw4cPIysry+65kSNH2m6u5yrFhf/atWv44YcfcOLECUyePBkAcOTIEcTFxUGSJKXDEhERVZ6X7PFnZWWhY8eOyMvLQ05ODsLCwpCbm4ujR4+iWbNmGDBggOwxFd2t4MiRI2jZsiUeffRRPPnkk7blL7zwAlasWKFkSCIiIveRNMoeHmbx4sWIiorCkSNH0K1bNzzzzDM4cuQIli1bhuzsbEW37FVU+JOSkjBs2LAysb4nnniiTOSAiIiouhV355P78DQHDhzAsGHDoNFooNFokJubCwAYMWIEGjVqhOTkZNljKvr1Jjk5GcuXLy9zSD8+Ph779+9XMiRVlRLZfaEW1ra7Ra13JYMKaoMGWoMWJpMJWoM/4NMA+cZo+PoHIsJPQpiftfVukElCqK/z3L5BY7a13NWUyOsX/ylJAmqVk1a7ZrN9fh+lcvkuZPUrzOk7yElXmL2ujhy8m19b8eu7uE11tcx12+u4qDpbGJd5bXfn76s7N1/hfRrc1y5YFi+5V/+1a9fg6+sLwBqlP3HihO05nU6HzMxM2WMqepcWiwX5+fkAYFf8T506hYCAACVDEhERUTluu+023H///QgPD0dqaiq2b99ebt8cZxQV/j59+mD+/Pl49dVXbYX/0qVLmDRpEvr166dkSCIiIveRVPIv1pM8r0nPhAkTEBUVBcBae6dOnYp33nkHGo0GS5cutT0nh6LC/9prr6F79+5Yt24dhBDo0aMHdu/ejbCwMCxbtkzJkERERG5T2+/cV6xLly523z/11FN46qmnKjWmoncZExODP/74A8uWLcPu3bthsVgwZMgQjB49Gv7+/pWaEBERUaVJautD7jYeZuTIkRg4cCCGDRvmtjEV/3rj5+eH8ePHu20iREREbuMlOf6QkBCkpqa6dUzFhT87OxuHDh1CWlpamed69+5dqUkRERFVhrcc6h81ahQefPBB3HXXXYiMjHTLmIre5caNGzF8+HBcvnzZ4fNCiEpNiirBWetdNSDpJUhaa4RPZ9DBx2SCxrcBCk2xkHwi0CBQhXp+EsJ8JQSZgCCTBH+DBD8j4G+Q4Ku3QKcutGu7q1WLMhE+p9G9whKtdktG9By12C1e5qy1bsm4Xqm4kMNolguRopqO4VV6Hgq285h4nqK5uym2VpnopDuieNUZv6umaJ3k7N9tdZJUCg71e97FfevWrUNKSgqaNGmCZs2alUnOzZ49G7169ZI1pqLCn5SUhLFjx2Lq1KmKWgISERFRxVq1aoWkpCSnz4eHh8seU1HhP336NJ599lmYTCYlmxMREVWtajzHf+XKFfz2228IDQ1F27Zty9zczmKxYNeuXbh69Srat2+PevXquTz20KFDMXToUEXzckZR4Y+Pj8epU6fQsmVLt06GiIjILaqp8M+dOxdz5sxBhw4dIISA0WjEf//7X9vd9i5cuIDbbrsNaWlpiIqKwr59+/D6669j3Lhxsl/rypUrMBgMMBqNsrctyeUTGmfPnrU9xo8fj9GjR2PLli1ISUmxe+7s2bOVmhAREVGlFcf55D5k+PDDD/H888/j+++/x9atW7Ft2zbMnDkT2dnZtnUef/xx6PV6HD16FNu3b8f777+PCRMm4PDhwy6/zooVKxAVFYXg4GCsXbsWALB8+XK89tprsuZbzOU9fkd3B+rZs6fDdXlxHxER1ahq2OOfM2cOHnroIdxyyy22Zd26dbN9nZ6ejm+++QZLliyBwWAAYM3lT506FcuXL8fs2bMrfI1du3Zh3LhxeP311+263w4ePBgtWrTAww8/jMDAQFnzdrnwHzx4UNbARERENUWS1JBkFnKpaI8/IyPDbrler4der7dbdvLkSZw+fRr9+/fHyZMnceTIEcTExCA+Pt62zl9//YXCwkK0bdu2xGtIaNOmDf744w+X5rRq1SokJSVhzJgx2Lhxo225j48PmjZtiuTkZPTv31/W+3S58Jd8M71798YPP/zgcL3ynqMqUjrCpxN2HfhUOjW0Bi2MPgbofQIg+dRHvk9jGH0DERemQpgfEOYrIdAkIcjnenzPRydg0FyP7+k1ZltszxrhKye6V9TEqTi6Vzq2V6bTXukue07iemUiXEq67jnZzh0q1+VN2bay4lJuiOa59JoVxvs8JDpZ2TieB0QKK8ttsUgPIyBByOw8L2C9KK/0Ee7nnnsOs2bNslt28eJFANbD8Fu3bkWzZs3w22+/oV27dlizZg38/PyQnp4OAGXSbyEhITh//rxLc0pNTUXXrl0BoMxFg4WFhSgoKHDtzZWg6OK+TZs2OVxusViwZcsWJUMSERF5hJSUFLvbz5fe2wesLXEB4MyZMzhy5Ah0Oh0uXbqEdu3a4fnnn8e8efNs65Q85w8AWVlZDsd0pFWrVti8eTMefvhhu8K/f/9+/Prrr2jfvr3s9yer8B87dszh14C16G/fvh0NGzaUPQkiIiJ3sgCwyLzezFL0p7+/f4V9Zxo3bgxJkjBkyBBbgQ8NDUXv3r2xc+dO2zqA9ReJ5s2b27ZNSUlBYmKiS3MaO3Ys2rZti+HDh+P48eP4+eefsXv3brz//vsYOXJk1Xfni4uLc/h1MYPBgIULF8qeBBERkTsJYX3I3cZVAQEB6Ny5M44ePWq3/NixY7Zi3KhRI8THx+Prr7+23cr+2LFj2LdvX5lTB84EBQUhOTkZzzzzDE6dOoU9e/YgKioKTz/9NKZPn+76hEuQVfhPnjwJAIiNjbV9XUyr1SI8PBwajefd65iIiOoWIQBLFRZ+AJg/fz769OkDX19ftGnTBhs2bMDevXvx7rvv2tZ57bXXMGjQIJhMJjRv3hwLFixAjx49MGDAAJdfp2HDhli6dKm8yZVDVpVu1KgRACAzM9N2cwIiIiJPY93jlypesdQ2ciQmJmLHjh1YvHgx1q1bh8aNG+PgwYOIjo62rXP77bdj69at+OSTT7Bp0yb861//wmOPPVbmQr2KXL16FX/88QcuXbqEmJgYtGvXDmq1sjsNKto9Z9EnIiJPZlGwxy93fQBISEjAG2+8Ue46N910E2666Sb5gxd5+eWX8dJLLyEzMxMajQaFhYVo1qwZFi9ebHffAFd5XisiIiKiSiou/HIfnmblypV44YUXsHDhQmRkZCA/Px9nzpxBnz59MHDgQKddcsvDE/K1VYnsvlAX5fZ1ALQSVHo11AYNDD56GIw+0JjqwezTCPCNQsNAFeoHWFvvhvpJqOcnIdBkn9u3Zvct0Kot0KiErfWu9WHN7MNSYM0el2y3WzqfX/p7F7L65eX0lbbbdbqtu1VHDl/u63hKJr8Kcuo1nsGvgRa31cLdr+el9wmoLt999x2mTZuG0aNH25ZFRUXh7bffRnJyMn755RcMHDhQ1pgs/ERE5HWEkBSc45e3fnUICwtzGi309/eX1emvmKLCv2/fPqfP6fV6REdHs2UvERHVmOo6x1/Vhg4divvuuw89e/ZE69atAVjvm/Ppp5/i4sWLaNeunewxFRX+iu4UpFarMWzYMHz44Yfw8fFR8hJERESKWYQEi8w9eLnrV4dvv/0Wly9fRps2bdCkSRMEBQXhzJkzuHjxIho3bmy7PwAAzJ49G7169apwTEWF/4MPPsD8+fMxd+5cdOjQAZIkYffu3Zg2bRomTZqEuLg4TJ48GTNmzMCCBQuUvAQREZFiVX0Dn+rSqlUrJCUlubRueHi4S+spKvxvvvkmVq5ciTZt2tiWRUdHo0mTJnjggQfwxx9/4JNPPsF9993Hwk9ERNXOW/b4hw4diqFDh7p1TEWF/9ixY4iMjCyzPDIy0nYP/4SEBFy6dKlysyMiIlLAW87xVwVFhb9Zs2aYM2cOXn31VdstegsLC/HCCy+gWbNmAIC9e/eiY8eOFY61du1avPXWW0hNTUXr1q3xwgsvoGnTpk7XP3XqFN58801s374dGo0GXbp0wdSpUxEcHKzkrdQuTiJ8kl6CyqiBRqeGwccAo28QJFMUckzNERqoR4MAFSICJIT7SwjyAUJ8JfgZJfgZAD9dPgwaM3RqM7RqAa3aYmu5a43vFbXbLcy3i+7Ztdot3XbXWWyvdGRPZrtdh+s5Us3xIdlxPMDtkTxZc6lsPE/B+6109M7u9T0jhlfj7Wyr8fUr8/fn1r/7Oio5ORnLly/H+fPnYTbb//xOmTIFXbp0kTWeosL/zjvvYMCAAVixYgXatWsHIQR+//13ZGdnY/369QCA77//Hq+88kq546xfvx5Dhw7FvHnzcPPNN2PBggW49dZbceDAAYeF3Gw247bbbsNjjz2G+++/H9nZ2Zg6dSo2btyIHTt2uNzmkIiIvJu3HOrftGkT+vXrh969eyM2NhYqlf1995RcQK+o8Hfp0gUnT57E0qVLcfDgQUiShNtuuw2jR49GYGAgAOD555+vcJxZs2Zh5MiRtgsXPv30U9SvXx/vvfceZsyYUWZ9tVqNAwcO2DUC+vTTTxEfH4+dO3eia9euSt4OERF5GwUX98EDD/WvWrUKTz/9NF588UW3jan4Bj6BgYF44oknFL9wZmYm9uzZgylTptiW6XQ69O7dGz/++KPDwg+gTPc/UfQ3K7fhAREReS9v2ePXaDS2Nr9uG1PphtnZ2Th06BDS0tLKPFcyV+jM2bNnIYRARESE3fKIiAj88ccfLs/j2WefRaNGjdCpUyen6+Tl5SEvL8/2fUZGhsvjExFR7eMthf++++7D5MmTcd9999mOqFeWosK/ceNGDB8+3GlzAOHC8RWLxQIA0Gq1dst1Ol2ZixecmTVrFv73v/9h8+bN5Z7fnzt3LmbPnu3SmEREVPt5S+Hv0qULIiMj0ahRI7Ru3bpMrZs5cya6d+8ua0xFhT8pKQljx47F1KlTERQUpGQIhIaGAkCZXx4uXbpke648L7/8MubNm4f169cjMTGx3HWnT5+OJ5980vZ9RkaG2w+dEBGR5/CWON/nn3+Ob7/9FoMGDXJ4cZ+SRJuiwn/69Gk8++yzlboff3h4OKKiopCcnGzXWeiXX35Bv379yt32lVdewfPPP4/169ejR48eFb6WXq/nFf9ERFTr/PDDD3jmmWcwa9Yst42pqPDHx8fj1KlTaNmyZaVefNy4cViwYAFGjx6N+Ph4LF68GCdOnMC//vUv2zrPPPMM9u3bh//9738AgPnz59uKfs+ePSv1+h6vxN+ORV/0q2hR613JoIJKp4bORwdfPz9oTPVgMURA+MchJkiF6BAJEf4SQvwkhPhKCPSx5vZN2oKi1rvW3L5eY83tW1vvlsjsCzOQV/SnpdCaD3fQZldRVr9Ujtpxu13Xsr+KMvSVpSQ/7e4svotjVjaT75YMtjvz5pX8+67y7H0NZvtrJC/v0n0jauDfKAALFBzqh+cd6g8LC3P5VryuUlT4x48fj9GjR2PevHlo2rRpmSvqHd3Vz5GpU6fi7NmzaNu2LUwmE9RqNZYtW2brQAQAFy9exJkzZwAAV65cwVNPPQVfX1888sgjdmPNnTsX99xzj5K3Q0REXsZbzvEPGDAAEydOxNChQxEWFuaWMRUV/uI9cmd73K5c3AdYc/nvvvsu5s2bh7S0NNSvX79MXG/u3LnIzc0FAAQEBODo0aMOx1LSk5iIiLyTtxT+TZs24cSJE2jUqBESEhLKnLZ2tSNfSYoK/8GDB5Vs5pTJZHJ6vUDJ33BUKlW5t/MlIiICvKfwt2rVyu7i9NKUnAZQfI6fiIjIUwkFhV94YOH3mO58xY4dO4aDBw9CCIGEhATujRMRkUfwlj3+kq5cuQKDwQCj0VipcVQVr1JWeno67r77bsTFxWHw4MG46667EBcXh7vvvhvp6emVmhARERFdt2LFCkRFRSE4OBhr164FACxfvhyvvfaaovEU38Dn+PHj2Lp1q+3mOTt37sTjjz+OyZMnY8mSJYomQ3DcelcNwCBBpVdB66OFzqCDyT8EkiEM+b7NEBociEYhKoT5SmgQKKGev4QQXyDAR4JJWwAfbSH0GjN0aktR611ha7mLwtzyo3slY3sVRPZca7dbNnLkjlayVa4q4ngyxnWtHbEbonnu/pw9qQUuo3Z1irfs8e/atQvjxo3D66+/jhUrVtiWDx48GC1atMDDDz8s+1a+ivb4165diy+++AJdunSBVquFVqtFly5d8OWXX9p+GyEiIqopxYVf7sPTrFq1CklJSRgzZozdnXJ9fHzQtGlTJCcnyx5TUeHPyclxeFvdkJAQZGdnKxmSiIjIbcxCUvTwNKmpqbZ745S+Z05hYSEKCgpkj6mo8N98882YOXMm8vPzbcvy8vIwY8YM3HzzzUqGJCIichuLRdnD07Rq1QqbN28GYF/49+/fj19//RXt27eXPaaic/wLFizAbbfdhjVr1qBt27YAgH379kGlUmHDhg1KhiQiInIbs7A+5G7jacaOHYu2bdti+PDhOH78OH7++Wfs3r0b77//PkaOHKmo4Zyiwt+2bVscPXoUS5cuxYEDByBJEgYOHIjRo0fDz89PyZBERERuo2QP3hP3+IOCgpCcnIxnnnkGp06dwp49exAVFYWnn34a06dPVzSm4hy/n58fJkyYoHRzIiIiqsCWLVsQExODpUuXOn2ucePGssZ0ufAfOnTI5UF5Zz8iIqpJFgtg9oI9/vfffx+DBw92WNzff/993HXXXVVX+Fu0aOHyoK426aEijrL7BgmSVoKkV0Nr0MDk5wu9TyAs/s1QYIpFXLgKYX4SooIlNAhUIcwP8DNK8NcXwldXAL3GDL3GUqLtrgRYCgBzPlCQfz2nb84vN69fUVbfLl9d4muHWfYKW8TWcFa/hBrL4gMu5a8rzIUrah3sQZn7Ym7+maiRPL0ztaWldKVfs2buJ+At5/jLc+7cObuIn6tcLvwpKSmyByciIqoJFiFgscir5BYP2mmdMWMGNmzYgBMnTmDXrl2YP3++3fOXLl1CRkYGOnbsKHtslwt/cY6QiIjI05kVHOqXu35VSkxMhJ+fH7744gu0bNkSbdq0sT0nSRJCQkLQv3//qt3jJyIiqi1q+6H+gQMHYuDAgUhMTFR0AV95FBX+wsJCvPfee1i1ahXOnDmDwkL780Znz551y+SIiIiU8JY4X48ePdw+pqI797344otYsGABhgwZgtOnT2PmzJno27cvLly4gPvuu8/dcyQiIiI3UVT4ly5dihUrViApKQkA8Oijj2LJkiV4//33sW/fPjdOj4iISL7ic/xyH3WBokP9Z86csd0f2Gg0IjMzE/7+/hg2bBgmTZrk1gl6rdIRPh0ArQTJoIJKp4aPvxE+voFQ+USgwBSL+mFhqB+gQtN6EkJ8JUQGSfAzSAgxFcJXlwujthBatYBeY229q1EJiIIcoLAouleYdz3CV5h3Pa5mzgOA65E+lNdu10lcz4XWuw638xSyWu5Wvj2ubSx3tMl1w+fptvidG6Ni1Rq785SfSQ+KszplVvBZKdnGDSwKzvHLDAHUWor2+M1mMzQaa+WKjY3Ftm3bAACHDx+G0Wh03+yIiIgU8JYmPVWh0lf1jxs3Dvfffz9uvvlm/Prrrxg5cqQ75kVERKRYbY7z/fvf/8a3337r0rqvv/46br/9dlnjKyr8Jfv/Tpw4EdHR0UhOTsZ9992HUaNGKRmSiIjIbaqj8F+7ds2uHgKAVquFyWQqs64QAvn5+dDr9RWO279/f8TFxdm2+89//oMGDRpg8ODBCAoKwsmTJ/H555+jbdu2aN68ubxJQ2HhLz7MX2zQoEEYNGiQkqGIiIjcziLkn7OXu/69996L77//3u4Ud+/evfHVV1/Zvi8oKMDkyZPx8ccfIz8/Hy1btsTixYvRqVMnp+P27t0bvXv3BgB88skn6NixI9avXw+V6vrZ+aeeegqJiYnw9fWVN2koPMdPRETkycwWoegh1/jx43H16lXbo2TRB4CZM2fiv//9L3bu3ImMjAx07doV/fv3x+XLl10af+fOnRg8eLBd0Qesd9Nt27atoiQdCz8REVEl5ObmOlyen5+P9957D1OmTEGrVq1gNBrxyiuvID8/H5999plLY+v1emzZsqXM8itXrmDv3r0wGAyy58vCT0REXscsFOT4FcT5Fi1aBH9/fwQEBODuu+/GmTNnbM/99ddfyMzMxK233mpbZjQa0bFjR+zcudOl8R999FGsW7cO/fr1w6JFi7BixQq88sor6NSpE2JiYtClSxfZc+a9+qtT0adt0Re13i3K7qv0auh89TD6GGAwBUOYoqELTUBMkIToEBUaBFpz+8G+EkJNZvho8+GnL4BWLWDUWqDTACjMBYQZKMiBlJMHyVyU1S/Zare4zW657XYLi743231f5mtUkMn3wEyyrLx6dWbxXXw9T2x3WyV5e0/I1XvKz28NZeC9QWVy/BkZGXbL9Xq9w4vybr31VsyePRsdOnTAyZMn8dBDD6Fv377Yu3cvjEYjLl68CAAIDQ21265evXq25yrSokUL7N69G7Nnz8aLL76Iy5cvIzo6Gvfffz+eeuopqNVqeW8SlSj8165dww8//IATJ05g8uTJAIAjR44gLi4OkiQpHZaIiKjSKnNVf1RUlN3y5557DrNmzSqz/tSpU21fN27cGJ999hmio6Px/fffY+DAgbbnLKVuEFBYWCirTsbHx+OLL75wef2KKCr8R44cQd++fZGbm4vU1FRb4X/hhRdwxx138H79RERUoyrTpCclJQX+/v625a5E8ADrLwxGoxEnT54EADRs2BAAkJqaatdd7+LFi2jUqJG8ybmRonP8SUlJGDZsGP7++2+75U888QTmz5/vlokREREpVZl79fv7+9s9XC38f/31F3JychAdHQ3AuqceGhqKTZs22dbJyMjAr7/+Wu65+WnTpqFdu3bYsGGD7Wtnjw0bNsj+bBTt8ScnJ2P58uVlDlXEx8dj//79SoYkIiJyG7OCc/xy1j9x4gSmTJmCJ554AnFxcTh8+DAmTZqEVq1a4Y477gAAqNVqPP3005gzZw7atWuH5s2bY/r06QgPD8eIESOcjt2lSxeEhoaiUaNGtq+dUXLkQFHht1gsyM/PBwC74n/q1CkEBAQoGZKIiKjWaNy4McaOHYsXX3wRBw4cQHh4OO644w5Mnz4dOp3Ott6UKVNsf169ehWJiYnYtGmTw7v7Fbvzzjtx5513AgCaN29u+9pdFBX+Pn36YP78+Xj11Vdthf/SpUuYNGkS+vXr59YJEhERyVUdt+y9/fbbK7xPviRJeOqpp/DUU0/JG7wKKSr8r732Grp3745169ZBCIEePXpg9+7dCAsLw7Jly9w9x9rNQYRP0ktQGTXQ+ehgMpmgNYUhJ/gWRAbrEROiQnSwhKb1VAjxBYJNgL8+D376Aug1Fhi0FmjVElBwDSjMh5SdDcmcZ43oFeY5ju05iOxVFNcrt+2ubR0PiTyVJiMOVp1xPEDBZ+aJsbvqjNt5ys9YbYrVecpnVkzUzHwsCu7EZ/HAvrwVNeyptiY9MTEx+OOPP7Bs2TLs3r0bFosFQ4YMwejRo+2uhCQiIqoJlbmq35PcdtttiI2NtVuWlpaGZcuWITo62tbMRw7FOX4/Pz+MHz9e6eZERERVpqov7qsuffv2Rd++fcssnzRpEjp06IDg4GDZYyqK82VkZDi8mcAXX3xR5o5HRERE1a0ycb7aIDAwEC1btsSePXtkb6uo8P/73//GtWvXyizPysrC008/rWRIIiIit6mue/XXlMzMTOzfv19Rkx5Fh/pXr16NV199tczyu+++GzNmzMCiRYuUDEtEREQlvPbaa9i6davdsry8PPz2229o0KABEhMTZY+pOMd/+fJlBAUF2S2/fPmyLd9PRERUU6ojzlcdgoODERkZabfMYDBgyJAhGDFihN09A1ylOMc/ZcoULFu2DL6+vgCshx2efPJJ9O7dW8mQREREbmNRUPg98ar+MWPGYMyYMW4dU1HhnzdvHm699VbExMSgffv2EEJg79698PPzw08//eTWCdZKGkBoAKEukd33UUFt0EDvo4dfYCjgGwtLYAs0D1MhOkSF+AgJEYESwvwkBOjzEGDIL2q5a4FOLSDysgBzPqSsbEiFebbMvlSY56TdroOsfumWuyWfg5OMuZva0wq1+ztAy8qmV2drXDfkqN2Su3dn3t4TsuGelqX3hM/E3aqizXJVjOnKy3rJVf1VQXGOf//+/fj000+xZ88eSJKEwYMHY9SoUbxlLxER1Tizghv4yF2/qkybNg3fffedS+u+8soruO2222SNr3g3LCAgABMnTlS6ORERUZWpzef4K2rMU1K1NekBgOzsbBw6dAhpaWllnuN5fiIiqkm1ufCXbNJTFRQV/o0bN2L48OG4fPmyw+eF8IzDJURERLXRN998g7i4OLRo0QIAUFBQALVaDZVK0e137CgaISkpCWPHjkVaWhqEEGUeRERENam237lv+fLl+P33323fP/DAA1i5cqVbxla0x3/69Gk8++yz5fYTJiIiqikWBVf1e8i1fVVOUeGPj4/HqVOn0LJlS3fPp/YqGeHTATBIUOnVUBs08PE1wiewIQr94xEUXB+tGqjQKFSF2DAJ9fwkBPsUIMQnF0atte2uGoVAbjqkvDxbfA/mPEiW0vE9x5E9Ry137WJopWJe5UbH3NUWtjqiT9UUx3Nri1vba7ohqubuz9jT4nMl1eYoXQ3F2+oaswVQ1dJz/FVNUeEfP348Ro8ejXnz5qFp06aQJMnu+dJ3GSIiIqpOZqGg8HOP37l//etfAICePXs6fJ7n+YmIqCZ5wx7/iBEjMHLkSADWW+WvWrXK9n2x5cuXY9iwYbLGVVT4Dx48qGQzIiKiamG2CKhq6Q18AODRRx91KRp/4403yh5b8Tl+dysoKIBWq3V5fYvFguzsbBiNRqjVarfPh4iIqKb06NEDPXr0qJKxKx8IrKQXXngBISEhMBgMaNGiBX744Ydy179w4QLmzJmD2NhY+Pn5lWlXSEREVNvjfFVJUeEvLCzEwoUL0bVrVzRq1AiRkZF2D1e98847mDdvHr7++mtkZWVh+PDhGDBgAI4fP+50mw8//BA5OTlYvny5kqkTEVEdwMLvnKJD/S+++CKWLl2KSZMmYfLkyXjvvffw66+/4tNPP0VSUpLL47zxxht4+OGH0b17dwDAs88+iw8//BCLFi3CvHnzHG4zc+ZMAMDZs2eVTN29HEX4jBrofHTwDwyC2j8GOb4t0TzcgNaRKjQOk9AwSEJkYAH89bnw1Zut8T1LHqTcq5CysyHlZ1uje0Ud+Oxie0VfAygT2bvele96BMsuduYs/uTODm7VoNrieFX5ubgjilaVUbvaFpWrC/G4Wvbv1E4Nzd1b2vJWBUV7/EuXLsWKFStsRf7RRx/FkiVL8P7772Pfvn0ujXH58mUcO3YMXbt2tVverVs37NixQ8m0iIiIAACFQtmjLlBU+M+cOYP27dsDAIxGIzIzMwEAw4YNQ3JysktjpKamAgDCwsLsloeFheHixYtKpuVUXl4eMjIy7B5EROS9eKjfOUWF32w2Q6OxniWIjY3Ftm3bAACHDx+G0WiUNZal1LEVi8VS5oZAlTV37lwEBATYHlFRUW4dn4iIPIvZIhQ96oJKX9U/btw43H///ejXrx/69u2L4cOHu7RdgwYNAKDM3v3FixdRv379yk7LzvTp05Genm57pKSkuHV8IiKi2kLRxX0FBQW2rydOnIjo6GgkJyfjvvvuw6hRo1waIzAwEC1btsSmTZswdOhQANa9/c2bN2Ps2LG29fLy8mCxWGQfSShJr9dDr9cr3p6IiGqXQgFA5qF7nuMvR79+/ey+HzRoEF5++WU8+OCD6Nu3r8vjTJs2DR9//DFWrFiBM2fOYNKkScjJycH48eNt6zz++OPo2LGj7fvCwkJkZWUhOzsbAJCTk4OsrCzk5+creStEROSFLArO79eVq/oV7fFv2rTJ4XKLxYItW7a4PM7IkSORnZ2N2bNnIzU1Fa1bt8YPP/xgOw0AAAaDAT4+PrbvV6xYgUcffRQAYDKZcM899wAAnnnmGTzzzDNK3g4REXmZQgsgavm9+quKrMJ/7Ngxh18D1qK/fft2NGzYUNYEHnnkETzyyCNOn3/77bftvh8xYgRGjBgh6zXcqmR23whAa83u6331CAiuB+EfB31wMyQ2UqFJmArRIRIaBEmo73sNvvpC+OgsUBdkQsrLhJSRAcmcByk/uyi3n2uX17d9jbI5facZ/dItdyvKZMvNbKsU/a7oGhlzqTCLX1F2uLqy6u7I23tyrt4TM/S1OfNeVWry76mG2juz8Dsn63/xuLg4h18XMxgMWLhwYeVnRUREVAks/M7JKvwnT54EYI3wFX9dTKvVIjw83BbzIyIiqimFFgFRi7vzVSVZVbpRo0YAgMzMTPj6+to9d+rUKeTn57PwExEReTBFV/UfPnwYEydOtH0/cuRIxMbGIiIiAtu3b3fb5IiIiJQwW6yH++U86sqhfkWFf8qUKbj33nsBAH/++SfWrVuHHTt24KmnnsL06dPdOkEiIiK5zBaLokddoOi4/O7du3HDDTcAADZu3Ii77roLiYmJaNmyJebPn+/WCRIREcklWQpd6+ZZapu6QFHh9/X1xalTp9CiRQusX78eDz74IAAgPT29zLl/r1AqwifpJaiNWvgH+8HgXx8FAa0QGV4PibEqNK1njfBFB2bD31AAk94CVWE2pOzLUKVnQCq4VhTfy4VUmGeL7UmFudbXKhnXcxLTK/PD6eCH1aXWs0pUVyyosnG86o4QufM/DE+MyFWkLkXoauPfTx0kiUJIoqDiFUttUxcoKvxDhw7FHXfcgVatWmHfvn0YMGAAAGDDhg3o37+/WydIREQklwqFUMku5Cz8Tr3++uto2rQpTp8+jdmzZyMoKAgAcOjQITz33HNunSAREZFckihQsMcvb/3aSlHh12q1eOKJJ8osf/XVVys9ISIiIqo6Lhf+Q4cOAQDi4+NtXzsTHx9fuVkRERFVgvUcv8yL+3iO316LFi0AAEII29fOCFE37n5EREQeylIIySLz0H0lLtKdM2cOvvzyS0yZMsV2wXuxL7/8Eh999BGuXr2KxMREPPfccwgLC1P8WpXlcuFPSUlx+DUREZGnqc49/k2bNmHZsmU4f/48Ll26ZPfcxx9/jHHjxuHNN99Es2bN8Pzzz6Nnz57Ys2cPtFqtoterLJcLf2RkpMOviYiIPI4otD7kbiPTP//8gzFjxuCrr77C7bffbj+cEPjPf/6DJ598EuPGjQMAtGrVCg0aNMCKFSswcuRI2a/nDoou7vvnn3/w3Xff4eTJk5AkCbGxsejXrx9CQ0PdPb+aU/TJWPQC0AGSjwSNSQf/IH/ogxojO/AGdG2qRauGKjSpJyEqqBARftfgZzBDlZ8JVVYqpLQMqPKvQSp+FOf1LWb7nH5xdt8ut2//A1gml+/OtrNV2Wq3NFfnVVEOvzpvtFFVuW1vy74z3+6ct/1dy1FD7706buAjhMCoUaPw6KOPolOnTmWeP3r0KM6ePWv3C0G9evXQsWNHbNmypfYU/g8++ABJSUnIzs6GyWQCAFy7dg0mkwkLFy7EmDFj3D5JIiIiOSpzqD8jI8NuuV6vh16vL7P+/PnzkZWVhWnTpjkcr/i0eP369e2W169fv0ZPmcu6V//OnTvx2GOPISkpCefOnUNWVhaysrJw9uxZTJw4EY888gh2795dVXMlIiKqclFRUQgICLA95s6dW2adXbt24dVXX8Vnn30GtVrtcJzCQusvEjqdzm65Xq9HQUHN3TNA1h7/22+/jYkTJ+LFF1+0W96wYUPMnTsX2dnZePvtt/HJJ5+4c45ERETyCLOCc/zW0xIpKSnw9/e3LXa0t//111+joKAAd955p23Z1atX8dprr2H9+vX48ccfERISAgC4fPkyoqOjbetdvny5Rk+Nyyr8ycnJWLt2rdPnx44diyFDhlR6UkRERJViKZR/LVDR+v7+/naF35HJkyeXOUd/6623YsSIEfjXv/4FAEhISIDBYMDOnTvRvn17AEBBQQF2796Np59+Wt7c3EhW4T937hyaNm3q9Pm4uDicP3++0pMiIiKqlCq+qj88PBzh4eF2y9RqNSIiItC8eXMAgI+PDx544AG8/vrruPvuuxEWFoZ58+YhNze3xi7sA2QW/tzcXIeHPIoZDAZkZ2dXelJERESVUk1xvoq8/vrrGDFiBCIjIxEYGAgAWLVqVY3G4mVf1f/VV19VxTw8R3ELXqOwRfgCQwKhCWmFoAYJ6NxEjYQGKsSFAzGBmfA3mqHKvQpV9iWo/vkHqtx0SIV51vheYd712J7FfD0qUvSnXUSvdOTF0SGqqmo162ktbJXEwjw9LlWXom6e/ndBlSP3Z7mmfvYtFvk/ixZLpV5y27ZtZe7I5+vri7Vr1+Kff/5Beno6GjVqBI2mGiPUDsh+9Xvuuacq5kFEROQ+NbDHX16fmrCwsBq9TW9Jsgp/ZmZmVc2DiIiIqoGswu/r61tV8yAiInIfYZZ/qF/UjdNUNXuigYiIqAoIYYaQWcjlrl9bsfATEZHXERYzhMw9frnr11Ys/ERE5HVY+J1j4SciIu8jLPIP3YvKxflqCxb+IsIACJ0ATBK0AToE1wuHCG6HqMgY9IxXo320Ck1CriHc/xpUOZehzrwA9fm/IRXl9lV514DCPGtW31JYlN8v8UNXMrvuKDfvLNvujfnvin6rrs3vuY7sMbisNv9dUq0mLBYImbl8uevXVrK68xEREVHtxj1+IiLyOhaLRfad+Cx1ZI+fhZ+IiLyOEBYImefs5a5fW7HwExGR1+Eev3Ms/ERE5HVY+J1j4SciIq9jsQjAIuRvUwfU+cJvMQnACKgDtQgKC4Jo2Bc3Nw/G7a3VaBGRj/r+12DKvwBVxjlo/v4bquOXIeUVtdwtyLXGtyyF1yN6drE9J1EmVyJflYlBqav5r1XOXL0h7saIWt1Q3e2qvVUNfY4WoWCPv46c42ecj4iIqA6p83v8RETkfYRFQMg8dC93/dqKhZ+IiLwO79znHAs/ERF5HV7c5xwLPxEReR1hkX/ovo5c28fCT0REXkjBOX65RwhqKxZ+IiLyOkLBoX5e3FcHiEgJoTH1gAY9cHuHCPRppcaNkenwLTgG7YX9UJ29CFVOOlQ56UBhHlCQZ81wl8yiVyarX1Wq+7W9MdfODDcReak6XfiJiMhLKdjj56F+IiKiWoqH+p1j4SciIu9jEYCZe/yOsPATEZHXERYAkoJt6gAWfiIi8j5Krs+tI9f0svATEZH3sQhA4qF+R+p04X92+jiM6Az4XfkTupQVUJ88DxxIt8b2LGb7mBrjXc5ZvDDOR0TuIfj/g6ep04WfiIi8FA/1O6Wq6QkAQEpKCnbv3o2MjIwq3YaIiOoIs8JHHVCjhT83Nxd33303mjdvjgceeAARERFYuHCh27chIqI6xgL5RZ9X9Ve92bNn49dff8Xx48dRv359rFmzBnfddRc6deqExMREt21DRER1i2SWIAmZeT6LzPVrqRrd4//4448xduxY1K9fHwAwePBgtGrVCh9//LFbtyEiorpFKlT2qAtqbI///PnzSE1NxQ033GC3vFOnTti7d6/btgGAvLw85OXl2b5PT08HAORmZyAzExBZ16C7lgt1dh6Qkw8UFPCqfjl41S4ROZGRa/3/QYjqjcqJglz5N/ARuVUzGQ9TY4U/LS0NABASEmK3PCQkxPacO7YBgLlz52L27Nllls8cFYuZsmZNRERKXL58GQEBAVX+OjqdDhEREbhwYY6i7SMiIqDT6dw8K89SY4Vfq9UCsF6sV1JOTo7TD13JNgAwffp0PPnkk7bvr169ipiYGJw5c6ZafhBrg4yMDERFRSElJQX+/v41PR2Pwc+lLH4mjvFzcSw9PR3R0dEIDg6ultczGAw4efIk8vPzFW2v0+lgMBjcPCvPUmOFPyoqCiqVCufOnbNbfu7cOURHR7ttGwDQ6/XQ6/VllgcEBPAfaCn+/v78TBzg51IWPxPH+Lk4plJV3yVlBoPB64t3ZdTYxX0+Pj645ZZb8M0339iWXbt2DT/88AP69OljW3bs2DHb+XtXtyEiIiLHavSq/jlz5mDNmjWYPn06vvnmGwwePBj16tXDI488Ylvn5ZdfxgMPPCBrGyIiInKsRgt/t27dsGXLFpw+fRpvvvkmWrZsiW3btsHX19e2TlxcHDp06CBrm4ro9Xo899xzDg//11X8TBzj51IWPxPH+Lk4xs/F80iiujMWREREVGM84l79REREVD1Y+ImIiOoQFn4iIqI6pEab9FQVIQT++usvFBYWomXLltBoKn6bSrapbTIzM3H48GGEhYUhJibGpW3y8vKwZ88e1KtXD02aNKniGdaMM2fO4OLFi2jWrJlL+Wuz2YzDhw9Dq9UiNjbWK39WCgsLceDAAWg0GiQkJECSKr73aW5uLg4fPgw/Pz80atSoWnPb1SUtLQ3Hjx9HZGSkrV+IKywWC5KTk+Hr64u2bdtW4QxrxrFjx5Ceno6EhAQYjcZy1/3zzz9x9epVu2UhISFo0aJFFc6Q7Agvc/jwYREfHy/q1asnoqKiRMOGDcX27dvdvk1ts2jRIuHj4yPi4+OFj4+PuPPOO8W1a9ecrn/lyhUxdepU0bBhQ2EymcSjjz5ajbOtHtnZ2WLQoEG2z8VoNIp33nnH6foWi0U8//zzol69eqJFixYiJiZGREVFif/973/VOOuqt3PnThEZGSmioqJEeHi4aNasmTh48KDT9XNycsSTTz4pQkJCRPv27UV4eLiIi4sTv/zySzXOuurNnj1b6PV6kZCQIPR6vXjwwQdFYWGhS9u++OKLQqVSiRtuuKGKZ1m9/vnnH3HLLbeIgIAA0bRpUxEQECBWr15d7ja9evUSkZGRonPnzrbH9OnTq2nGJIQQXlf427dvLwYMGGD7B/noo4+KBg0aiJycHLduU5vs3btXSJIkVq5cKYQQIjU1VURHR4vJkyc73ebPP/8Uc+fOFampqaJz585eWfinTJkioqOjxYULF4QQQqxatUpIkiR2797tcP28vDzx7LPPirS0NCGE9ReBmTNnCpPJJFJTU6tt3lUpNzdXREZGikceeUQIIYTZbBYDBw4Ubdq0cbrNhQsXxKJFi0ReXp4QQojCwkLxwAMPiOjo6GqZc3VYv3690Gg04ueffxZCCHHkyBERGBgoXnvttQq33b59u2jUqJEYPny41xX+oUOHig4dOoisrCwhhBDz5s0TRqNRnD171uk2vXr1ElOnTq2uKZIDXlX49+zZIwCIHTt22JalpKQISZLEf//7X7dtU9tMmjRJxMfH2y2bM2eOCAoKEmazucLtvbHwWywWERISIubMmWO3vEWLFuLxxx93eZyzZ88KAGLDhg3unmKN+OabbwQAkZKSYlu2Y8cOAUDs2rXL5XEWL14s9Hq9Sz9ftcGQIUNE79697ZaNGzdOtGzZstztrly5ImJjY8XmzZvF448/7lWFPy0tTajVarFs2TLbsry8PBEQECDmzZvndLtevXqJxx57TOzatUucOXNGWCyW6pguleBVJ+GKb+1b8oY/xefinLXtVbJNbbN3716HrYyvXLmC06dP19CsalZKSgouX75c5nPp2LGjrL/3Xbt2AYDXXP+wd+9ehIeHIzIy0rbsxhtvhCRJFX4uhw4dws8//4xPPvkEL730EmbPnu015/md/Rs6ePCgXcvv0saOHYuhQ4eiR48eVT3Fard//36YzWa7z0Wn06Ft27YV/qwsWbIEY8eORZs2bdC6dWvbvyOqHt7xr7JIWloa/P39bV38ilXU6lfuNrVNWlqaw1bGxc/VRUpbPJd08eJFPPHEExg+fLjXFH5HPytqtRqBgYEVfi6ff/45pk6diqeffhoNGzbEoEGDqnKq1crZvyGLxVLmQrVi7733Hk6cOIE5c5S1h/V0Sv8NPfTQQ/jnn3+wb98+nD9/Hq1bt8bgwYORnp5epfOl67yq8Gu12jIte4GKW/3K3aa2cfQec3JyAMBr3qNcSls8F7ty5Qr69euHyMhILF68uErmWBOc/XvIzc2t8HN54YUXkJycjHPnzqF169bo0aMHrl27VlVTrVZy/w2dO3cO//73vzF+/Hj8+uuv2LZtG/7++29kZWVh27ZtXlHklP4bGj58uO0W60ajEW+88QbOnz+Pn3/+ueomS3a8qvDHxMQgPz8fly5dsi0zm81ITU112rZXyTa1TUxMjMNWxoC11XFdFB0dDUmSZLd4BoCrV6+ib9++MBgM+O6772AymapyqtUqJiYGqampMJvNtmVpaWnIyclx+d+DVqtFUlISLly44DWny5z9G/Lz80NQUFCZ9XNyctChQwcsXboU06ZNw7Rp02y/FE2bNg0nTpyorqlXmeJIsJJ/QyWFhIRArVaXGYeqjlcV/q5du0Kn09m17d28eTMyMzPt2vbu2rULp06dkrVNbdanTx/8+OOPyMzMtC1bu3YtOnbsiMDAQABAeno6tm3bhuzs7BqaZfXy8/NDYmKi3d97ZmYmNm/ebPf3fvToUezbt8/2fXp6Ovr27QuNRoPvvvsOfn5+1TntKte7d29cu3YNmzZtsi1bu3YttFotunXrZlu2bds2nD9/HgAc7tUfO3YMQNnDwLVVnz598H//938oLCy0LVu7di169+5t+/7ixYvYtm0bzGYzmjZtim3bttk9hgwZgubNm2Pbtm1o3759TbwNt0pISECDBg3s/g2dOHEC+/fvt/s3tH//fhw8eBCA9b4gJX+pBIBNmzbBbDajVatW1TNx8r4c/7PPPisCAwPFBx98ID7//HMRGRkpRo0aZbdOw4YNxb///W9Z29Rm165dE82bNxc9evQQa9asETNnzhRqtVps3LjRts73338vAIj9+/cLIaxXvW/dulVs3bpVtG7dWgwaNEhs3bpV/PbbbzX1Ntxu06ZNQqPRiGeeeUasWbNG9OzZU8TFxdmiSUIIMXr0aNG2bVshhPWK5ZtuuklERESIb7/91vb5bN261WvifEIIMWbMGBEZGSmWLVsmPvzwQxEYGCieeeYZu3UAiAULFgghhPjoo4/EkCFDxKeffio2btwoFixYIMLDw8W9995bA7OvGhcuXBARERFiyJAh4ptvvhHjx48XRqNR7Nu3z7bOxx9/LACIK1euOBzD267qF0KIpUuXCq1WK+bPny++/vpr0a5dO9GlSxe7NEe3bt3EoEGDhBBCHDt2THTo0EG8++67YsOGDWLBggUiJCRE3HXXXTX0Duomr7vl2OzZsxEbG4uvv/4ahYWFePLJJzFhwgS7dTp16oTY2FhZ29RmPj4+2Lp1K15++WW89dZbCAsLw6ZNm+z24AIDA9G5c2fbYeuCggJMmzYNAODv749Lly5h2rRpiImJweeff14j78Pdevbsic2bN+Pdd9/Fjh070LZtW3zxxRd2h+6bNWtmu2tdVlYW1Go1mjRpgpdeeslurBkzZqB///7VOv+qsnjxYrz99tv47LPPoNFoMG/ePDz88MN263Tu3BkNGzYEYL1YKyoqCl988QXOnj2Lhg0b4t1338Vdd91VE9OvEuHh4dixYwdeeeUVvPHGG4iMjMQvv/xidxe+8PBwdO7c2emdHJs0aeLw+onabNSoUQgMDMTSpUvx3XffYcCAAXjqqafs0hytW7e2HRlr0qQJvvjiC7z77rtYs2YNIiIi8Pbbb+Pee++tqbdQJ7EtLxERUR3iVef4iYiIqHws/ERERHUICz8REVEdwsJPRERUh7DwExER1SEs/ERERHUICz8REVEd4nU38CHyJL/88gv0ej1uvPHGan/tH374wdaDYsCAATCZTPjpp58QEBCAdu3aOd1u586dOHnyJACge/fuiIiIqI7pElE1YeEnUmDXrl04fvx4uesMGzYMCxYsQGhoaI0U/pkzZyI7OxsJCQno1asXTCYT5s6di1atWpVb+Pfs2YOffvoJK1euxP/+9z/069ev+iZNRFWOhZ9Igb1792Lz5s2271euXIkbbrgBTZo0sS27++670aVLlxpt5DNs2DDMnDlT1jbjx4/H+PHj8dVXX1XRrIioJrHwEynwyCOP4JFHHrF9/9VXX+Hhhx/GuHHj7Nbr2LEj9Hq97fviQ+2xsbHYu3cvcnNz0a1bNxiNRqSlpWH79u3w9/fHLbfcUuae70II7NmzBykpKYiNjbW7T7xcGRkZ2Lt3LwoLC5GYmGjrj05E3o+Fn6gKlT7UP3fuXFy6dAkXL15EmzZt8Oeff0KlUmHmzJl4/vnn0apVK/z+++9o3LgxtmzZYmt2cvHiRQwePBipqalo1aoV/vjjD8TGxmLt2rWyjyhs374dN9xwA5o1a4bjx48jNzcXycnJqF+/vtvfPxF5Hl7VT1TNTp8+jZ07d2L9+vX4/fffcfnyZcycORO7du3C+vXrsWfPHuzatQvfffedbZt//etfiIuLw5EjR7B27VocPnwYZrMZs2fPlv36R44cwY8//ohvv/0Wf/75J/z9/fH222+78y0SkQfjHj9RNRs4cKBt7zogIAAJCQno0KEDwsLCAABhYWFo0qQJjhw5gttvvx2XL1/GunXr8MILL+C///0vhBAQQqBRo0bYsmWLotcvbqmr0WjQuXNnHD582H1vkIg8Ggs/UTULCgqy+16v1ztcVty7/fTp0xBCYOfOndi/f7/dejfddJPs1w8ODnb6WkTk/Vj4iTycv78/AGDKlCno2rVrDc+GiGo7nuMn8nBNmzZF06ZNsWjRojLPnTt3rgZmRES1Gff4iWqBjz76CHfccQcGDBiAO++8E+np6fjf//6H3r17y87pE1HdxsJP5Ab33nsvmjZtWmZ56Rv4dO/eHVFRUXbr9OzZE/Hx8XbLbrvtNiQkJNi+79q1K/766y8sXboU27dvR/369fHCCy/g1ltvLXde+/fvx5dffmm7Za+j1+/QoQMaNGhg+774lr1CiIrfOBHVOpLgv24ir/Tss8/i6NGjAICFCxfaUgMVee+99/DTTz8BAKZPn16pGwURkedh4SciIqpDeHEfERFRHcLCT0REVIew8BMREdUhLPxERER1CAs/ERFRHcLCT0REVIew8BMREdUhLPxERER1CAs/ERFRHcLCT0REVIew8BMREdUh/w/udVaMTsDEZQAAAABJRU5ErkJggg==", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "T_melt = model.default_parameter_values[\"PCM melting temperature [K]\"] - 273.15\n", "norm = CenteredNorm(vcenter=T_melt)\n", "\n", "fig, ax = plt.subplots(figsize=(5, 3.5), layout=\"constrained\")\n", "field = ax.pcolormesh(t, z, T, cmap=\"pytes.thaw\", norm=norm, shading=\"nearest\")\n", "fig.colorbar(field, label=\"Fluid temperature [°C]\")\n", "ax.set_xlabel(\"Time [h]\")\n", "ax.set_ylabel(\"Distance along the flow path [m]\")\n", "plt.show()" ] } ], "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 }