{ "cells": [ { "cell_type": "markdown", "id": "8b2519e6", "metadata": {}, "source": [ "# Yield-Stress Rheology Channel\n", "\n", "Validates the yield-stress branch of the generalized-Newtonian model\n", "(`models.rheology`, `model=herschel_bulkley`) against the exact fully-developed\n", "plane-channel profiles with a central unyielded plug (theory chapter targets T3\n", "Bingham and T4 Herschel-Bulkley, Chhabra & Richardson 2008).\n", "\n", "The channel is body-force-driven (streamwise-periodic, no-slip HWBB walls, uniform\n", "body force `F_x = G`). Covered variants: Bingham (`n = 1`) single-block 2D, Bingham\n", "across a 2:1 refinement interface, and shear-thinning Herschel-Bulkley (`n = 0.5`).\n", "Profiles are read from the `profile_series` line export (128 points, node `i` at\n", "centred height `y = i - 63.5`, `H = 64`) at the last exported step." ] }, { "cell_type": "code", "execution_count": 1, "id": "850438b8", "metadata": { "execution": { "iopub.execute_input": "2026-07-21T14:44:22.558493Z", "iopub.status.busy": "2026-07-21T14:44:22.558397Z", "iopub.status.idle": "2026-07-21T14:44:23.003688Z", "shell.execute_reply": "2026-07-21T14:44:23.003307Z" } }, "outputs": [ { "data": { "text/plain": [ "'binghamChannel2D'" ] }, "execution_count": 1, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from nassu.cfg.model import ConfigScheme\n", "\n", "filename = \"validation/rheology/02_yield_stress_channel/02_bingham_channel.nassu.yaml\"\n", "sim_cfg = ConfigScheme.sim_cfgs_from_file(filename)[0]\n", "sim_cfg.name" ] }, { "cell_type": "markdown", "id": "81ece41c", "metadata": {}, "source": [ "## Analytical solutions and reference" ] }, { "cell_type": "code", "execution_count": 2, "id": "86899419", "metadata": { "execution": { "iopub.execute_input": "2026-07-21T14:44:23.004733Z", "iopub.status.busy": "2026-07-21T14:44:23.004605Z", "iopub.status.idle": "2026-07-21T14:44:23.619765Z", "shell.execute_reply": "2026-07-21T14:44:23.619388Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Bingham: mu_p = 0.05 tau_0 = 5.12e-05 G = 2e-06 y0 = tau_0/G = 25.60 (0.40 H)" ] }, { "name": "stdout", "output_type": "stream", "text": [ "\n" ] } ], "source": [ "import pathlib\n", "\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "import pandas as pd\n", "\n", "import nassu.viz as common\n", "\n", "common.use_style()\n", "\n", "CASE_DIR = pathlib.Path(\"validation/rheology/02_yield_stress_channel\")\n", "\n", "\n", "def bingham_profile(y, G, mu_p, tau_0, H):\n", " \"\"\"T3 Bingham plane-channel profile with a central plug of half-width y0.\"\"\"\n", " y0 = tau_0 / G\n", " ya = np.abs(y)\n", " u_plug = (G / (2.0 * mu_p)) * (H - y0) ** 2\n", " u_yield = (1.0 / mu_p) * (0.5 * G * (H**2 - y**2) - tau_0 * (H - ya))\n", " return np.where(ya <= y0, u_plug, u_yield)\n", "\n", "\n", "def herschel_bulkley_profile(y, G, K, n, tau_0, H):\n", " \"\"\"T4 Herschel-Bulkley plane-channel profile (reduces to T3 at n=1).\"\"\"\n", " y0 = tau_0 / G\n", " p = (n + 1.0) / n\n", " pref = n / ((n + 1.0) * G * K ** (1.0 / n))\n", " ya = np.abs(y)\n", " arg = np.clip(G * ya - tau_0, 0.0, None)\n", " u_yield = pref * ((G * H - tau_0) ** p - arg**p)\n", " u_plug = pref * (G * H - tau_0) ** p\n", " return np.where(ya <= y0, u_plug, u_yield)\n", "\n", "\n", "def analytical_profile(cfg, y):\n", " \"\"\"Exact profile for the config's rheology params (Bingham if n==1, else T4).\"\"\"\n", " pr = cfg.models.rheology.params\n", " G = cfg.models.LBM.F.x\n", " H = cfg.domain.domain_size.y / 2.0\n", " if pr[\"n\"] == 1.0:\n", " return bingham_profile(y, G, pr[\"K\"], pr[\"tau_0\"], H)\n", " return herschel_bulkley_profile(y, G, pr[\"K\"], pr[\"n\"], pr[\"tau_0\"], H)\n", "\n", "\n", "def read_last_profile(cfg, macr=\"ux\"):\n", " \"\"\"Read the fully-developed profile (last exported step) from the line probe.\"\"\"\n", " line = cfg.output.exports[\"profile_series\"].series.lines[\"velocity_profile\"]\n", " df = line.read_full_data(macr)\n", " step = df[\"time_step\"].max()\n", " vals = df[df[\"time_step\"] == step].drop(columns=\"time_step\").to_numpy().ravel()\n", " y_node = pd.read_csv(line.points_filename)[\"y\"].to_numpy(dtype=float)\n", " y_centred = y_node - (cfg.domain.domain_size.y - 1) / 2.0\n", " return y_centred, vals, int(step)\n", "\n", "\n", "def yield_l2(y, u_sim, u_exact, y0):\n", " \"\"\"Relative L2 over the yielded region |y| > y0.\"\"\"\n", " m = np.abs(y) > y0\n", " return np.sqrt(np.sum((u_sim[m] - u_exact[m]) ** 2) / np.sum(u_exact[m] ** 2))\n", "\n", "\n", "# Primary Bingham parameters, read straight off the parsed config.\n", "pr = sim_cfg.models.rheology.params\n", "G_b = sim_cfg.models.LBM.F.x\n", "mu_p, tau_0_b = pr[\"K\"], pr[\"tau_0\"]\n", "H = sim_cfg.domain.domain_size.y / 2.0\n", "y0_b = tau_0_b / G_b\n", "print(f\"Bingham: mu_p = {mu_p} tau_0 = {tau_0_b:.6g} G = {G_b:.6g} \"\n", " f\"y0 = tau_0/G = {y0_b:.2f} ({y0_b / H:.2f} H)\")" ] }, { "cell_type": "code", "execution_count": 3, "id": "1600e30b", "metadata": { "execution": { "iopub.execute_input": "2026-07-21T14:44:23.620655Z", "iopub.status.busy": "2026-07-21T14:44:23.620511Z", "iopub.status.idle": "2026-07-21T14:44:23.720694Z", "shell.execute_reply": "2026-07-21T14:44:23.720380Z" } }, "outputs": [ { "data": { "image/png": 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W1uJ0dHSgqalZrnPUZFlW9lrFtWnTBjY2Nvjw4QP8/PzQrFkzoLAz7vXr1yEnJ4fhw4eX4+7LVtlnu6rutTxcXFwk9gkUf7a2bt0aKSkpSElJKfHZ6uDggC9fvsDPzw+NGzcu1/Wq4rySPvNyc3PZz++WLVtK/NsR94mR9rfj6OjIad4Sk/RcZmdn4927dwCAyZMnl3nflc2fqqoqHBwc8OHDB+zevRsjRoyQmMeKouClioin56/oF7p4dtxz586xfS+kkTS6pzjxwyktyDE1NYWCgkKJQEXcmbgoDQ0NvHr1CgDQv39/vHnzBidPnsTYsWOhqqoKe3t7uLi4oF+/fuwfR2UU77wMAHFxcWzfnKLtrZIUL5fNmzdj7ty52LJlC7Zs2QJzc3M0b94c7du3R9++fTkTTVUkrTTx8fFgGAY6OjoV7nRmZGQkcbu4Xbr4qKuHDx9i1qxZbIdJDQ0NaGhosM9fZGQkRCKRxJ78Fb1WZY6T5X2rqOKdw8V+//13TJ06tczja7IsZbmWJKNGjcLatWtx7tw5Nni5ceMGMjMz0a1bNxgaGpbrPGWpzLNd1fdaFkmfHyjy2XrlyhVcuXKl1HNU5FmsivNKynNCQgL7uVxW8CntvNKeS2VlZaDYc5mYmAiRSARVVVWpx1VV/jZu3Ig5c+Zg165d2LVrF8zMzNCsWTO0b98e/fr1q9RwdApeapm4V7aenl6Zb2B5vkjFHV0l/dpB4S8eSUMWTU1NS3zgFv9VtGTJEvz444949OgR3r59i3fv3uHgwYM4cOAAxo8fz+mlXxGSJu0Tl4ucnFyZI62Kd0CztbXFzZs38fLlS7x8+RJ+fn54+vQpbty4gW3btuHw4cNssFWRtNKIP5SrYmh7WTZv3oz8/Hy4ublh3rx5Jb6knJ2dKzQ8u6rJ8r5VlLhzeHHlrXWpybKs6msNGTIE27Ztw/Xr17Fo0SKoq6uX6KhbFSrzbNf0Mypt0k/xs6irq1tmDU9Fvjyr4rylfebx+XypAZlYVdR6i9/b/Px8MAxT5jp3suSvUaNGuH79Onx8fODt7Y3379/j2bNnuHnzJrZu3YpDhw5VqMUCFLzUPvGH7+DBg/H777/LfD7xF0ZAQIDE/QEBASWq+lCBCfQMDQ0xfPhwNvIODw/H5MmTceLECfTq1QutWrWSKf9i4h74BQUFuHDhgsQhxqXh8/lo3bo1WrduDRQZqrdlyxasXLkSp06dqlRaSYyMjKCoqIiMjAwEBgaWu/q5onJychAQEAAlJSX89ddfJZoFw8PDazVwQRW8bxUhy6RqNVmW1XEtTU1N9O/fHxcuXIC7uztatGiB9+/fw8TEBB07diyRvrILsFb02a5Lz6j4s7V///6V/mFVk+fV19eHiooKcnJycPr06WpfoLJBgwZQVVVFVlYWPnz4UGbwIGv++Hw+XF1d2VmKRSIRTpw4gXXr1mH58uW4ePFixc5XodSkyvXs2RMorIIUTyolSXmrWDt06AAUzvUgacFG8ZwOFSXt+ubm5nBycgIAfP78md2upKQEFE5IVBnKysro0KEDRCJRmYsXFs2bUCiUGJzJycmxQ57F+axI2tIoKSmx5b5582apzS+y1syI81pQUCDx/di2bZtM568KlX3falpNlmV1XWv06NFAYZPzmTNngMK5k8S1r0VV9u+xos92XXpGe/ToARTOB1O8Sbyoij6H1XVeBQUFdO7cGQzDsEORq+rcksjLy6Nz584AgC1btkidRFD83lY2f0KhUOL0HHJychgwYABQzs/ZEvmv8BGkSjVv3hz9+vXDf//9hxEjRmD06NFwdXWFvr4+UlNTER0dza6t8fz58zLP17ZtW7Zz1Lhx4zB37lzY2dkhKSkJp06dgoeHB3g8nsQv7dLMmjULfD4f3bt3Z9c/ycjIwJMnT3Dz5k2gSGctALC0tERwcDAOHTqESZMmQUNDAyj8ZS6pI7Ek8+bNw7Nnz3D8+HEEBQVh6NChsLCwgKKiImJjY/HlyxfcvHkTnTt3xuzZs4HCifTmzZuHfv36wdHRkb1eeHg421FZnM+KpC3LnDlz8OTJEzx48ABjx47FhAkT0LhxY2RmZiIwMBAXL17E5MmT0bt37wqVe1EqKiqwtbWFv78/pk+fjhkzZsDQ0BDh4eE4efIkvLy8wOfza30R0Mq8bzWtJsuyuq7VtGlTNGvWDH5+fggMDIScnByGDRsmMa2lpSUAwNvbG3fv3oWNjQ3k5eWhqqpa5lwvFXm269IzamtriyFDhuDy5csYNWoURo0ahVatWsHAwABpaWmIiYmBt7c3bt++DS8vL7YZpbbOi8KyfvToEc6cOYPg4GAMHz4clpaWUFZWRkxMDL5+/Ypbt26hZcuWnNnbK2v27Nl48OABvLy8MGrUKEyaNAkCgQDZ2dkICgrCpUuXMHLkSPzwww+Vzl9QUBB++ukn9OvXD05OTjA2NoaysjLCw8PZuYPEnfgrgoKXOmDdunUQiUS4ffs29uzZIzFNeVcz5fF42LZtG8aPH4/w8PASM+pOmzYNZ86cQXp6eoXyKCcnhwcPHuDhw4cS9//www+c6uohQ4bA09MT7u7ucHd3Z7cXnWG3LLa2tti3bx/mz58PLy8vqYtgimuvUPjrICYmRmozmIaGBpYtW1bhtGWxs7PD9u3bsXDhQvj6+rK98ouaNm1auc5VmkWLFmH69Ol4/fp1ifNNmzYNly9fLnN69+pWmfetNtRkWVbXtUaPHg0/Pz8IhUJ0795dakddW1tb2Nvb4+PHj5yAsegMu9JU9NmuS8/oypUrIRQKcf36dezfv5+djK0oBQWFCjerVdd5GzZsiAMHDmDevHl48eIFXrx4ITFd+/btK3ReaRo1aoSdO3di/vz58PPzkxgQFZ0lvTL5U1BQQHx8PI4dO8YGK0Wpqalh+fLlFc47BS9VREtLq8wVWcWdYot31lJWVsbOnTvx/Plz3LhxA/7+/sjIyICuri6MjY3Rrl07iR/00s5naWmJq1ev4ujRo/D29kZOTg5MTU3h5uaGXr164enTp8jIyJBYvSzNnj174OXlhfv37yMkJASJiYnQ0dGBubk5hgwZgpYtW3LS9+7dG7t27WKbw3Jzc8EwDKfWxdzcHJqamqXmo127drh79y4uXryIZ8+eITo6GnJycjAyMkKjRo3Qu3dvdrQFADg4OODBgwe4efMmfHx8EBkZCYZhYGhoCFdXVwwbNoyd7r8iacuje/fuuHPnDs6ePYsXL14gMTER2trasLGxgZubG9u8hsLAyMLCQuoIDmkr/LZr1w5nzpzBsWPHEBAQADk5OVhZWcHNzQ2dOnXCy5cvoaqqyukwV9lrVfY4VOJ9K+t81aEmy7Iy1ypPefTv3x8rVqxAXl5emUsuHDlyBIcOHYKvry+Sk5NRUFDAOXdp16vIs11d91pcWe8FCmf03rJlC0aPHg13d3f4+/sjPT0dOjo6MDY2Rtu2bdGzZ88SHUzFn+fS+mxV9rxmZmZQUlIqtcNtq1atcOfOHfZvJzIykp2p2MbGBn369EGLFi04x4hnBi46e3JR4vKVNERZ3HfszJkzeP78ORISEqClpQUbGxsMHjy4xEraFc1fo0aN8ODBA9y6dQuvX79GREQECgoKYGhoCBcXFwwbNqzCozQBgMdUtP2AEEJInfD+/XsMHToUJiYmuH//foV+kBBSn9GTTggh9dTJkycBAEOHDqXAhXxXqNmIEELqkfj4eKSlpcHb2xtXrlyBgoJClc2oS0h9QcELIYTUI6tWrcLt27fZ19OmTauyGXUJqS8oeCGEkHpEX18flpaW0NXVRe/evTFhwoTazhIhNY467BJCCCGkXqEeXoQQQgipV6jZSAYJCQm4ffs2rKysZF5kjhBCCPmeZGdnIyQkBL17967wWkkUvMjg9u3bGDduXG1ngxBCCKm3/v33X85MvuVBwYsMxOve/Pvvv7Czs6uSc4pEIgQEBEAgEFTJsuffCioX6ahsJKNykY7KRjIqF+mqo2w+ffqEcePGlXsNuaIoeJGBuKnIzs4Ozs7OVXJOkUgEPp8PR0dH+uMpgspFOiobyahcpKOykYzKRbrqLJvKdLugDruEEEIIqVcoeCGEEEJIvULBCyGEEELqFQpeCCGEEFKvUPBCCCGEkHqFghdCCCGE1CsUvBBCCCGkXqHghRBCCCH1CgUvhBBCCKlXKHghhBBCSL1CwQshhBBC6hUKXgghhBBSr1DwQgghhJB6hYKXOkYkEiE9PR0AwDBMbWeHEEIIqXPkazsDhCstLQ3JyckAgBs3buDkyZPIycmBnp4eOnXqBENDQxgYGCAiIgLa2tpo0aIFNDU1azvbhBBCSI2h4KWOyc3Nhba2NgAgJiYGmZmZAIC4uDhcuHChRPoNGzZAU1MTb968wf379/H+/XvY2trixx9/hI6ODvh8Pvz8/KCgoABLS0uoqKjU+D0RQgghVYmClzrGyMgIMTExAIDRo0ejbdu2CAgIQEpKCnJzcxEXF4fY2FhERkbCxsYGDRo0AAC8fv0aDx8+BAA8ffoUT58+haKiIgwMDBAXF4e8vDxs2LABdnZ2SE9Px6dPn3Dz5k04ODhg2LBh7PUjIiKgoqICbW1tyMnJ1VIpEEIIIdJR8FKHqampwcHBAQ4ODiX2ifvD8Hg8AICtrS2Sk5MRHh6OlJQUpKamIi8vDxEREQCABg0aQE9PDwBw/vx5XLlyBQDg7++P4OBgGBoawtDQEKdOnUJKSgo2btwIW1tbAMCnT5/g6emJJk2aoHv37mweMjIyoKqqCj6fuk4RQgipORS81FPioEWsffv2aN++Pfs6Pz8fCQkJiImJQVxcHHr27Mkek5qayqbLzMzEkydPOOfi8/nQ1dUFANy6dQv37t1DQEAAgoODYWpqCkNDQ2hra2Pu3LlITk7Gxo0b0ahRIwBAcHAwfHx8YGNjA2dn52otA0IIId+n7yJ4iYqKwtOnT5GQkAALCwt06dIFampqJdKlp6fDw8MDkZGR0NHRQdeuXWFkZFQreZaVvLw8jIyMJOZ//vz5+OmnnxAbG8v+i4mJQWxsLBITE7Flyxa2ycjX1xcBAQEAgICAAPz+++8AAEVFReTl5QEAtLS0AABhYWF4/PgxLl68iHbt2nGCl7lz56KgoACLFi2CmZkZUNinJzIyEsbGxjAxMamBUiGEEPIt+KaDl4KCAmzZsgXHjh2DSCRit+vq6mLfvn1wdHRkt7158wazZs1CYmIiu23dunVYuXIlBg8eXON5r26qqqqwtraGtbV1qel69uwJa2vrEgFOXl4eFBQUsG/fPraW5tSpU/Dy8gIKy3Px4sUwMjKCoaEhQkNDUVBQACUlJfbcL168wOHDh9GuXTssXryY3b5p0ybw+XxMmDAB+vr6QGETVXp6OkQiEfXFIYSQ79w3Hbxs2rQJR48ehZycHHr27IlGjRohLi4Ot2/fRmhoKBu8ZGZmYvbs2UhMTETLli3h6uqK0NBQ3Lx5E0uWLIGDgwMaN25c27dTK1xdXeHq6srZJhQKER8fj+TkZBgYGLDbFRQUoKamhszMTGRlZeHjx4/4+PEjUFgT9L///Y8NdE6cOAFfX19oaWlBKBTCz88PRkZG0NHRgZeXF0QiESZMmMCe29PTE0ePHsXz58+xaNEidvupU6egoqKC7t2705BxQgj5TnyzwcuXL1/w999/Q0FBAYcOHULbtm3ZfQsXLkRGRgb7+tq1a4iPj0e/fv2wbds2druzszNWr16NY8eOYe3atTV+D3WVgoICTExMSjT1LFiwAChsfouJiUF0dDT7X5FIBBcXFzatr68vgoKCAAAvX77Ey5cvgcIgR1dXF/369YOOjg5Q2I8mNjYWPB6PDX5QWLN2/vx5iEQidOzYkd1+/fp1nD9/Ht26dcPEiRPZ7S9fvoSGhgYaNmwIBQWFaisfQggh1eubDV6uXr2KgoICjB07lhO4oLDZqOiX4NOnTwEAP/30Eyfd6NGjsWvXLjx+/LiGcv1t0NDQgIaGRqm1VWPHjkV4eDgnyImLi0N+fj4UFRUxdOhQNu2ePXsQGBgIAHj27BlCQ0NhZGQEAwMDtGzZEkpKSmygg8I5cZKTk5Gfn89uE4lEWLt2LUQiEY4ePcoOMffy8sKzZ8/g6uqKzp07s+kzMjKgpqZWomM0IYSQ2vfNBi9v374FAPTv3x8RERG4e/cuhEIhbG1t0aFDB87w3uDgYKioqKBJkyacc8jLy6Np06Z4+vQpMjIyoK6uXuP38a1ycXHh1MSgMMCIj49nJ+YTU1JSgrKyMnJycpCQkICEhAS8e/cOAGBsbIwDBw6waXfv3o2MjAz06tULurq68Pf3h4mJCfh8Pho3boykpCROoOPv74+HDx9CW1ubDV5EIhHGjRsHBQUFHDx4kE3v7++PsLAwNG7cuMy+QoQQQqrPNxu8iDvexsXFYcKECezIGACws7PDgQMHYGhoCBROya+rqyvxV7b4iys9PV1q8JKens4ZfqyoqAhFRcVK5VvcsbhoB+Pvib6+PvT19Tn3v2rVKuTn58Pb2xs6OjqIi4tDTEwMYmJioKWlxUnr7e2NtLS0EudVV1dH06ZNsW7dOqCwfMPDw9G8eXNoaWmhUaNG7HmSkpJQUFAAoVAINTU1dvvTp09x9epV/PDDD5g8eTJ7nt9//x26urqYN28eO4otJSUFKByJVd21N9/7MyMNlYt0VDaSUblIVx1lI8u5vtngpaCgAAoKCli2bBkcHR3h6OiI7Oxs3Lt3D58+fcIff/yBo0ePsullWQRxwoQJUFZWZl+7ublxZq2tDD8/P5mO/xapq6tDKBRCR0cHOjo6sLOzAwpHNqHwPezduzeSkpKQlJSE5ORkJCYmIj09HRkZGYiLi2PTAsDmzZuRmZkJVVVV6Onpsc2Jenp6mDZtGlRUVDjvg0gkQqNGjSAnJ8eeJy0tDcHBwQgJCcHnz5/ZGr07d+7g2bNnaNu2LXr16sXm7/Hjx9DW1oaDg0OVj5qiZ0YyKhfpqGwko3KRrirLRjwNR2V8s8GLeBTLDz/8gCVLlrDb582bh8GDB+Pp06dISkqCrq4utLS0EBERAYZhSvxKTkpKAoBSR7IcP36cM+xa1poXPz8/NGvWjIYEF1HecnFyciqxLScnBzExMWAYhm3uyc3NhaKiIjsyKisrC+Hh4ewxzZs3x19//cW+Pnr0KLS1teHm5gZjY2MYGxtDSUkJubm5WLp0KdLT0znz2nh5eYHH48HOzo59NhITE+Hp6Qk+n4+xY8ey93Hx4kX4+Pigd+/e6NSpE1AYfMfExEBfX7/MzsX0zEhG5SIdlY1kVC7SVUfZFBQUVPrYbzZ4adSoEXx8fNChQwfOdnV1dTg7OyM8PBxxcXHQ1dWFjY0NgoKC4O/vz/6aR+GQ4Pfv38PIyEjipHZiGhoa7ERtVUVOTo7+eCSoTLmoqamhYcOGnG2qqqr4559/kJWVhejoaERHRyMqKor917hxY/Y62dnZcHd3L3FePT09mJiYoGXLlpy5gIRCIX755RfMnDmTMy8Nn89H9+7dkZeXxwlug4OD8fHjR7Rr145Nm5KSgp9//hny8vI4f/48u/3ly5eIj49H06ZNYWFhIXPZfA+oXKSjspGMykW6qiwbWc7zzQYvnTp1wrlz5+Dp6ckZRZKWloZXr16Bx+OxfV46dOiAO3fuYO/evdi5cydb+3LixAmkpaWhd+/etXYfpHqpqqqiYcOGJYKbogoKCjB69GhERUWxQU5GRgYSExORmJgIY2NjNm1ubi5GjhzJBjbif2ZmZjA1NcXs2bNL/MGOHDkSbdu2ZZdYQGHwoqSkBC0tLU56Dw8PPH36FFOnTmWDl+TkZBw5cgSNGjXC/Pnz2ec3MzMTysrK9CFMCPnmfLPBS7du3SAQCHD69Gl8+vQJLVq0QE5ODjw8PBAfH4+ePXuynXEHDhyI3bt3486dOxgxYgQ7Sd39+/ehoKDAds4k3yc1NTWMHj2asy0tLY0NZsRBMAqXPCgoKEB8fDzi4+PZUW9iPXr0wJw5c4DCGppHjx7B1NQUzs7O0NDQYNM1bNgQ586dQ3Z2Nud4W1tb5Ofnw8bGhnPNiIgI5Obmcpo99+zZAy8vL8ycOZMNwLOysvDy5UsYGxtDIBBUWRkRQkhN+maDFzk5OezduxfTp0/HmzdvOB01W7dujTVr1rCvVVVVsWfPHvz888949+4dOwxXRUUFq1evLvVXOfk+aWpqQlNTk115W8zCwgInTpzgNEFFRkYiMjISUVFRnIn9oqOjsWPHDs45TU1N2X8tWrTg1MYAwKBBgzBo0CDONlNTUwwfPhzm5uac7QkJCSgoKOA0aYaFhWHLli3Q19fHkSNH2O2XLl1CQkICunXrxl5TUh8wQgipC77Z4AUAzM3Nce3aNXh5eeHLly+Ql5dHs2bNJHbqbN68OW7duoWHDx8iKioKOjo66NSpE7u2DiHlwePxoKWlBS0tLU7/KRR2eCs6NFAkEqFFixaIjIxEQkIC0tLSkJaWhk+fPgGFE/mJA4mYmBgcPHiQDWzEzVDa2trQ1NSEvb09p9M4AKxfvx7JyclQVVXlbHdwcOBM0ojCDsYBAQFo1qwZe83Pnz9j1apVsLOzw9KlS9m0kZGRUFVVhba2NgU3hJBa8U0HLyicyr5z586cfi/SqKmpoV+/fjWSL/L9Kd7RzdraGqtWrQIKOwUXraWJjIzkTJoYFhaGV69e4dWrV5xzqqqqwsTEBE5OTmzwkp+fD4ZhoKCgAD09PU56W1tbdq6bovr3749mzZpxJt+LjY1Fenp6iUkDt2/fjs+fP2Px4sVo164dACA+Ph6vX7+GhYUF7O3tZSwpQggp3TcfvBBSH6ioqJTacdjKygozZ87kBDdxcXHIyspCUFAQmjdvzqZ9+/YtVq1aBWNjY5iZmbH/zM3NYWZmVqImBgC6du1aYlubNm2wY8eOEhNJiUQi8Pl8GBkZsds+ffqEvXv3wt7eHuvXr2e3HzlyBCKRCAMGDCixFhYhhFQWBS+E1AMGBgbo27cvZ5tQKER0dDTCw8MhFArZ7VFRUSgoKGCDnOfPn3OOW7hwITufTEJCAqKiomBubl6iGUhJSUniMghbt26FUCjkLLGhoaEBV1dXTkdiAHjw4AFSU1PRvXt3dpuXlxcOHz6MNm3aYPr06ez22NhY6OjoVHqOJELI94OCF0LqKQUFBVhYWMDU1JTTIX3AgAFo164dwsPDERERwf43IiICycnJnBqT58+fs2tDqampcWppzM3NYWdnJ3FZjOIT5zk5OZXoS8YwDMaNG4fo6GjOcHJxH5/izVGLFi1CcnIytm3bxgZB4jl4LCws2MU0CSGkSoIX8YJ5SUlJ4PF40NHRQYMGDThT5hNCagaPx4Oenh709PRKdOLNyMjg/F2Km3/i4uKQmZmJz58/4/Pnz+z+9evXs31Y3r59iw8fPsDCwgLm5uYwMTEpdfZfHo8ncY6kvn37olmzZlBSUmK35eXlITc3FwzDwMDAgN3u5eWFf/75B507d8aCBQvY7WfPnoWOjg46dOggsRmMEPJtq3Tw4uPjg9u3b+Ply5fw9/cv0S4uJycHOzs7tGzZEr1795Y4wocQUrOK16L07dsXffv2RV5eHiIjI9kaGnGNjZmZGZv21atXuHr1KvtaTk4OJiYmMDc3h4WFBfr16wdtbe1y5aH4EHNFRUWcOnUKqampnDyqqKjA0tISlpaW7Lbc3FycPHkSKOyXI/bw4UO8fPkSbdu2Rfv27StcNoSQ+qNCwUt+fj4uXLiAkydPllhQSVVVFTo6OigoKEBqaiqysrLw/v17vH//HseOHYNAIMDYsWMxbNgwyMtTaxUhdYmioiKsra0l9nERs7OzQ0ZGBsLDwxEeHo7s7Gz2/728vNCnTx82rbu7Oz59+gQLCwv2n7Gxcamz/fJ4vBLBT79+/UqMAMzLy8PAgQORmJjIWXPs/fv3ePToEYyMjNjgJT8/Hz/++CNMTEywdOlSqKiosOdQUFCgod6E1FPljiLu3LmDLVu2ICQkBHJycujQoQM6duyI5s2bw97evkQTUU5ODj58+AA/Pz88fvwYz549w/Lly3Hs2DEsXLgQPXv2rI77IYRUk3bt2rFDoxmGQUJCAsLCwhAWFoaYmBh2xmoUNjG9ePGCc7y8vDxMTU1hYWGBn3/+udLNPRoaGpg2bVqJ7V27doWxsTFnqHZSUhISExORnZ3N+Yw6evQoPD09MX78eAwYMAAoHEUl7p9DSyoQUreVO3j55ZdfYGBggMWLF2PgwIFldp5TVlaGi4sLXFxcMGnSJCQkJODatWs4evQoZs+ezWlXJ4TULzweD/r6+tDX14eLi0uJ/YMHD4a9vT0b3ISHhyM3NxehoaGIjY3lBBLbtm1DSEgI25fGwsICVlZWMDAw4IxoKou9vX2JOWZ0dXWxYcMGZGRkcGpZIiMjkZ2dzdbEoHAiwFmzZkFNTQ2nTp1i0wcFBQGFk14W7adDCKk95Q5e/ve//2HEiBGVHsbYoEEDTJkyBWPHjsW5c+cqdQ5CSP3QtGlTNG3alH1dUFCAuLg4hIeHIy0tjROUBAUFITw8HF+/fuWcQ0VFBTY2Nli7di0bSOTm5lYogJCXl4dAIChRk7Js2TJER0dzmqmSkpKgpKQEQ0NDTqBz4sQJ+Pr64ueff2Y7IKelpcHb2xvW1tZo3LhxhcqGECK7cgcv48aNq5ILKikpYfz48VVyLkJI/SAe1VR0mLbY//73P7aGJiwsDKGhoWyfmqysLE4gsXjxYiQnJ8PS0hJWVlbsf83NzUsd+VSceJh5Uc2aNcPZs2dLDOFWV1eHlpYWZ+2owMBA7N69GxYWFti9eze73cPDAzweD46OjpxmNEJI1aKes4SQWiUOalq1asVuE4lEiIqK4gQSIpEI4eHhyMvLQ1JSEnx9fdl9fD4fzs7OWLZsGbstOTkZDMNUKC98Pp+zujcA/Pbbb0BhPx8xeXl5tGjRAqamppy0Z8+eRXR0NFatWsUGLyEhIXj69ClsbW0lNrERQipOpuBFKBTi4cOH7PpBYnFxcVi1ahV8fX2hr6+PBQsWoEOHDlWRX0LId0BOTq7EKtlycnI4fvw4wsLCEBISgpCQEISGhiI0NBQZGRmcmheGYTB79mzk5+fD2toaVlZWnJoaSRPvlaVoDVCLFi3QokULzn6GYeDs7Mz23xF7//49zp49i1atWnGCl2PHjkFNTQ09e/akWhpCKkim4OXOnTv49ddfMWDAAE7wMmvWLPj5+QGFC7bNnDkT7u7usLKykj3HhJDvlqqqKmxtbTnzxDAMg6SkJOTl5bHbkpOTkZeXh/z8/BIT76FwZNL8+fPZ1/Hx8WjQoIFMQ6d5PB5++umnEtvNzc3Rs2dPTt8YoVCIa9euQSQScdaVEi++6erqCldX10rnhZBvnUzBy6VLlwAAQ4cOZbf5+PjAz88Pw4YNw7Rp07BhwwZ4eHjgxIkT+N///id7jgkhpAjxjMJF6erq4vTp0/Dw8ICKigrblyYkJATx8fHQ1dVl06ampmLq1KlQU1ODjY0NO9+NtbV1hfvSSCKplkYkEmHcuHGIjIzkjNz08fHBf//9BwUFBTZ4KSgowI4dO2BmZoYffviBRjwRImvwIh4dUHQl3MePH4PH42HevHnQ19fHL7/8Ag8PD3h7e8ueW0IIKSd5eXkYGBjA0dGRM9ooPT2dMyN4dHQ05OXlkZmZCT8/P7bWWHyOUaNGYcSIEUDhpHc5OTmVanYqSllZmfOjT6xVq1ZQUFDgzEgeExMDT09PKCgowM3Njd1+9+5dhIWFoX379iVmLCbkWydT8BIXFwcAnPZaPz8/WFpaQl9fHwDYGTtjYmJkyykhhFSB4h1ybW1tcfbsWURERCA4OBhfv37F169fERwcjMzMTM5w6qCgIPz+++8wMDBga2fEtTUGBgYyz9jr6OhYYj0qFRUVTJw4EVlZWZwgzMvLC69fv4axsTEbvKSmpuLvv/9G48aN0bdvX5pBmHyzZApelJWVIRQKkZiYCGNjYxQUFODdu3fo1KkTm0YoFFZFPgkhpNooKCiUWB6BYRjEx8dzZgKOjIwECn+4xcXF4fnz5+w+DQ0NzJw5kx2cIBKJwOfzZQ4gdHR0JNbSdO/evcSMwkFBQbh//z78/f05yyrcvHkTIpEIrVu3Zn9YElKfyRS8NGnSBK9evYK7uzumT58ODw8PpKamonXr1myaqKgoACgxpJAQQuoyHo/HWeEahQFD69atERISwtbOfP36FWFhYUhPT+fU0jx69AgHDx5Ew4YN0bBhQzRq1AgNGzaEkZFRhWYOlqZDhw4lRnEaGhpixIgRJZZeuHLlCqKjo2FqasoGL4mJifjvv/9gb2/PafonpD6QKXgZOnQoXr16hW3btuHGjRv4+vUr1NXV0atXLzaNuP2YVpUmhHwL1NXVS8wgLBQKERYWxlmFW9zs9O7dO7x7947dLu4Y/NNPP5WYKE9WZmZmJSYUZRgGnTt3RlBQECdICQoKwq1bt+Dq6sqZH+fRo0cwNDSEjY2NzJ2VCakuMgUvbm5uCAoKwvHjx+Hv7w89PT1s2LABWlpabJrr168DhavDEkLIt0hBQaFE7cXEiRPRtWtXBAUF4cuXL/jy5Qu+fv3KdgxWU1Nj016+fBkvXrxga2caNWoEExOTKqmh4fF4GDNmTIntWlpacHFx4YyEEgqF2L59O/Lz87F//36YmJgAAGJjYyESiWBsbEz9aEidIPMMu7///jt+/vlnpKWlwcjIqMSD/csvv2DWrFlo2bKlrJcihJB6Q15eHjY2NrCxsWG35efnIzw8HCEhIZzh2u/fv8eHDx/w4cMHdpuKigoaNWoEgUCA4cOHV3oVbmlsbW0xatQoTifgjIwMODo6sqtri7m7u+PatWsYPHgwpkyZAhTW6GRkZJToAE1ITaiS5QHU1NQ4vyKKoomWCCHk/8jLy5foGAwAkyZNQrt27dhamuDgYGRnZ8PPzw+BgYGcpqBr164hJycHjRs3RuPGjWUetl2Ujo4OpwlJLDc3l827WGxsLKZPnw5LS0vs2LGjSmqJCCkvWtuIEEJqmbm5OczNzdG9e3egyDpOAQEByMjI4NSO3Lp1CxEREexrU1NTNG7cGAKBgP1X1X7++WdMnz6ds75TSEgIAEBRUZETuGzbtg0pKSkYPXo0zT9Dqk25g5clS5aw/79mzZoS28pDfBwhhBDp5OTk2PWYimIYBn369EFAQAACAgIQExODyMhIREZG4sGDByVWuRbPA1MVfVWKd95t06YNTp48iZSUFE7+Xr9+jbS0NIwePZrdHhgYCA8PDzg7O1MXAlIlyh28XLhwgf1/cRBSdFt5UPBCCCGVx+Px8MMPP7Cv09LSEBgYiMDAQAQEBHCmpMjPz8e6deuQl5cHTU1NNGnSBE2aNIGtrS2nH44sNDQ0SvR5+euvv/Dp0ydOB2YfHx/cuHEDaWlpnODFy8sLVlZW1BGYVFi5g5eNGzeWaxshhJCaoampCRcXF85q1WKpqamwsbFBUFAQ0tLS8PLlS7x8+RIAwOfz4erqypnNl2EYmQMIHo/HzmtTlIODAwYOHAg7Ozt2W0ZGBjZs2ACGYfD333+zHZhzcnKgpKREwQwpVbmDl0GDBpVrGyGEkNqnp6eHjRs3QigU4suXL/j8+TP8/f3x+fNnJCQkcAZZJCQkYP78+WzNjK2tLRo3blxli0AWnxcHhcGVnZ0dMjMzOSOvDh06hJcvX2Ly5MmcFbcJKYo67BJCyDdMQUGBDUjEPzhjY2Ph7+/PpvH390dqaipevHiBFy9eAIUjoxo2bAh7e3t06dKlxAgpWZmammL9+vUoKCjgbA8ICEBKSgpnFFVUVBROnz4NV1dXdO7cuUrzQeonmca2PXnypFzpCgoKsHfvXlkuRQghpIo0aNCAExy0bt0aGzduxNSpU9G+fXvo6ekhPz8fnz9/xuXLlxEWFsamjYyMhKenJ2JiYjijjyqr+BDrrVu3Yt26dZyaGl9fXzx8+BD37t3jpP348SMyMjJkzgOpf2Sqefnxxx/x008/Yc6cOZyhfEUlJCRg4cKFePbsGWbNmiXL5QghhFSD4rUzDMMgLi4OHz9+xMePHzmBhLe3N/755x+gsGnK3t6e/WdhYSH1u6AieXFwcOBss7e3x4gRIzgdkoVCIVasWIG8vDzs2bOH1s/7zsgUvGhoaGD//v149eoVtm7dCkNDQ87+Z8+eYeHChUhISOB01CKEEFJ38Xg8GBoawtDQsES/Ey0tLTRp0gRBQUFITEzE48eP8fjxY6BwwtJNmzZx1niqCpIm9ktMTESDBg2Qnp7OmQ34woULCAwMRP/+/dG8efMqzQepO2QKXi5fvoz58+fj1atXGDRoEDZs2IDOnTtDJBJh165dOHDgAAoKCjBmzBj88ccfVZdrQgghtaJHjx7o0aMHcnNzERAQgA8fPuDTp0/w9/eHUCjk/Ij9559/EBoaimbNmqFp06awsbGRuWZGzMjICHv37kVmZian6enJkycIDg5G69at2W2ZmZn4+vUrbG1tIS9PXT2/BTK9i2ZmZjh16hQ2bdqEf/75Bz/99BMmTpyIDx8+4OXLl9DU1MTq1avRu3fvqssxIYSQWqekpIRmzZqhWbNmQOGswDExMZzJ7F68eIHw8HC8evUKAKCqqgoHBwc0bdoUzZs3h42NjcxDoosvTfPzzz/j9evXcHZ2Zre9evUKW7Zsga2tLU3x8Y2QOQRVUFDAn3/+iVatWuH333/H33//DQBo3rw5tm3bVuXVh4QQQuoeOTm5Ev1Ofv31V/j5+bELT2ZmZrLzzRgZGeHgwYNs2vj4eDRo0EDmYEa85lNR2dnZ0NTUhL29PbuNYRhs3rwZAoEAPXv2rPKFL0n1qpL6s/z8fLx79w5ZWVnstuzsbOTk5FTF6QkhhNRD4gnrBg8eDJFIhK9fv8LPzw9+fn6cfioikQhz5syBgoICWrRoAUdHRzg6OkJPT69K8tGnTx/06tULeXl57LaQkBA8fvwYz58/R58+fdjt2dnZVTKKilQvmYOX6Oho/Prrr/Dx8YG2tjb+97//4fr16/D09MSwYcOwdOlSDBs2rGpySwghpF6Sk5NDo0aN0KhRIwwZMoSzLzo6Gvn5+cjMzMTDhw/x8OFDoHDBSkdHR7Rv355Ta1IZfD4fysrK7GtdXV38+OOPSE9P50zGd+nSJRw5cgRz5syBk5OTTNck1Uem4MXT0xOLFy9GSkoKnJ2dsW3bNhgZGaF///44duwYtm7diiVLlsDb2xt//fVXibZJQgghRNx/0t/fH2/evMHbt28RFBSE8PBwhIeHQ01NjQ1esrKyEBYWhsaNG8vU+VdLS4uzThQKh19HRkYiOzsb+vr67PaYmBikpqZCIBDQsgV1hEzBy8yZM4HC+V7mz5/P9uLm8XiYMmUKXFxcMH/+fLi7u8PPzw+3b9+umlwTQgj5pigoKLAdgMePH4+MjAy8e/cOb968QatWrdh0b968wfr166GmpoYWLVrA1dUVzs7OnCUGZMnDr7/+Cnl5eU5/zRs3buDq1avo378/fvrpJ5mvQ2QnU/Cira3NDo+WpEWLFrhy5Qr+/PNP3L17V5ZLEUII+Y6oq6ujXbt2aNeuHWd7Wloa1NXVkZGRAS8vL3h5eQGF/WtcXFzQt29fmfrKyMvLcxasFFNRUUGLFi3Y1+np6bh58ya6dOkCAwODSl+PVI5MwcuVK1dgZGRUahpNTU3s3r0bJ06ckOVShBBCCPr06YOePXsiKCgIr1+/xuvXrxEYGIgvX77gy5cv6NGjB5s2KioK6urq0NTUlOmaU6dOxbhx4zjNVI8fP8a///4LLy8vbN++Xabzk4qTKXgpK3Apavz48bJcSmZJSUmYPn06cnJyMGXKFLi5uZVI8+jRI1y4cAERERHQ0dFBnz59MHTo0BJrbxBCCKk9cnJyaNKkCZo0aYIxY8YgOTkZvr6++PLlC+d76ejRo3j58iUEAgFcXFzQunVrWFlZVarfSvEVtg0NDdG8eXO0bNmS3SYSibB//360adMGTk5O9N1Rjap0qsH8/Hzk5uZK3V+bHXZXrVqFL1++ICsrC8nJySX2HzlypMTkRU+ePMGzZ8+wdevWGswpIYSQitDR0UG3bt3QrVs3dhvDMEhPTwfDMPj8+TM+f/6MU6dOwdDQEG3atEGbNm1KrKFUES4uLnBxceEMq37//j1u376NJ0+e4O+//y4R8JCqI3PwkpCQgN27d8PDwwOxsbGlpv38+bOsl6uUe/fu4cGDB5gzZw7Wr19fYn9YWBi2bdsGRUVF/Prrr2jZsiVCQ0Oxfv163LhxA71796ZZggkhpB7h8XjYsGEDEhIS8Pr1a7x8+RJv3rxBbGwsrl69ioCAAGzYsIFNLxQKK1VTUrQWR19fHwMGDICqqioncDl9+jQEAgEcHR2rbHmE751MwUtycjJGjBiByMhIzhuirKzMmaBOQ0NDtlzKIDU1FStWrMCiRYvQoEEDiWkuX74MoVCIhQsXYvLkyQCApk2bwsjICGPGjMG5c+coeCGEkHqoQYMG7A/QnJwc+Pr6wtvbm7NYcFpaGqZPn45mzZrB2NgYNjY20NHRqfC1TExMMH36dM62mJgYnD59GjweDwcPHiyxgDGpHJka5A4fPozIyEg4OTmxPb5ROJTt/v37GDlyJACge/fuePnypey5rYS1a9eiSZMmGDVqlNQ0Pj4+AFBi4iQXFxdYWFjA19e32vNJCCGkeikrK6Nt27aYP38+Z1ZdX19fZGVl4fnz57hy5QomT56M5cuX4+7du0hPT5fpmgoKCvjhhx/QsWNHTuDi5eWF8PBwmc79PZOp5uXBgwcAgDlz5kBbW5vdzuPxYGZmhpUrVyIvLw+XL1+Go6MjRo8eLXuOK+DRo0fw9PSEu7t7qekiIyOhra0tsWamUaNGCAsLQ1JSktR5BNLT05Gamsq+VlRUhKKiYqXyLBKJOP8l/4fKRToqG8moXKSjsuFq3749TExM4O3tjUePHiE2Nha+vr7w9fXF3r17sWjRIk7H3IrQ1tZma/TF5Z2dnY2dO3ciKysLGzZsgEAgqNL7qQ7V8czIci6ZgpeIiAgAKDFts0gkYpuRJk2ahMuXL+PixYs1GrxkZGRg2bJlWLp0aZnVdNnZ2VBXV5e4T7w9KytLavAyYcIEzrTTbm5uMi+J4OfnJ9Px3yoqF+mobCSjcpGOyobL3t4e9vb2SExMxMePH/HhwwfExcUhNzcXb968AQAEBgYiKysLtra2le6Qm5qaCgsLCyQmJiIzM5M9d2pqKjQ0NOr0KKWqfGYCAgIqfaxMwYu4gMWrcYr7uqSlpbHthZaWlgCAr1+/ynKpCtu4cSOaNWtWYvpnSRQUFDgLdhUlFAqBwtoUaY4fP86Z1EjWmhc/Pz80a9aMOnYVQeUiHZWNZFQu0lHZSCYuly5duqB79+5A4aCUorXyFy9exPv376GoqIg2bdqgU6dOleqI27lzZ+Tl5bHfFQUFBZg3bx7y8/OxcOFC2NjYVPHdyaY6npmCgoJKHytT8GJiYoKgoCBER0fD0tISJiYmCA4OxpcvX+Dq6goAiIuLA4oEATUhKCgI586dg4mJCQYMGMBuz8zMBAAcO3YMly9fxh9//IH27dtDT08Pnz59Qm5ubolIOjIyEvLy8pxmseI0NDSgpaVVpfcgJydHHyoSULlIR2UjGZWLdFQ2khUtl6I19wzDoHnz5khOTkZkZCQePXqER48eQUtLC506dUK3bt3QsGHDcl9HRUWF/f/Y2FikpKRAJBLB2Ni4zr4vVfnMyHIemeqmmjdvDhQZAt2mTRsAwL59+5CbmwuRSISdO3cCQI226aWkpIBhGERGRiIwMJD9FxUVBQCIj49HYGAg2xHLzs4OIpEIT58+5ZxHXHXYsGHDStekEEII+TbweDyMGjUKe/fuxZYtWzBgwABoaWkhNTUV7u7u+Oeffyp9bhMTExw+fBjLli3jdGM4duwY7t27R/2TipGp5mXgwIG4dOkSLl68iF69emHy5Mm4cuUKnjx5gpYtW0JeXp6t7Zg6dWpV5blMDg4OEjvpent7Y82aNZgyZQqGDBkCExMTAECvXr1w/vx5bNiwAU2aNIGpqSmysrKwdOlS5Ofn0zBpQgghLB6Ph8aNG6Nx48aYMmUKfH198eDBA/YHPAqnEtm3bx969uwJZ2fnctUyqKiocPqQfv36FVeuXAHDMGjYsCGsra2r7Z7qG5mClzZt2uDkyZPsm2JhYYEjR45g9erV+PDhA3Jzc2FkZIRffvkFffv2rao8l0lFRUViTU9YWBhQOO6/6P5OnTqhXbt28PLyQq9evWBqaor4+HhkZWXBxMQEEydOrLG8E0IIqT/k5eXRsmXLEqORPDw84O3tDW9vb+jp6aF79+7o0aNHhZbVMTExwaRJkxAdHc0JXDIyMqQOMvleyNxhV9y3RczZ2RmXLl1CRkYG8vLyqmSZ8pqwc+dOrF69Gjdu3EBoaCgAoHXr1li9evV3/5AQQgipmNatWyMlJQWenp5ITEzEuXPncO7cOTg5OaF///5wcXEpszZGSUmpxPxjGRkZmDVrFpydnTFt2rRaXXanNlXp2kZF1cUv/DZt2sDd3R36+vol9mloaGDDhg1Yvnw54uLioK2tXWonXUIIIUQaMzMzTJ06FRMmTMDz589x9+5dvHnzBr6+vnj//j2OHTtWqdWuX79+jZSUFAQGBn7XaydVW/BSF6mrq5fZcVhVVRVWVlY1lidCCCHfLgUFBXTo0AEdOnRATEwMbt68iYKCAk7gcvHiRbi4uJTru6dz584wMjICwzCQl///X+FRUVFsP87vwXcVvBBCCCG1xcjIiJ1tVyw4OBj//PMP/vnnHzg5OWHo0KFo1qwZZ8HH4po0acJ5/eTJE2zevBkjRozAmDFjqi3/dQkFL4QQQkgtUVBQQPv27fHs2TN2SYLGjRtj6NChaN26dblGKb1//x4FBQVgGKZG8lwXUPBCCCGE1BJzc3MsWrQIMTExuHLlCu7du4fAwECsX78epqam+N///ldmc9CMGTPQsmVLdu41AMjJyYGiomKdXmpAFt/mXRFCCCH1iJGREWbMmIHDhw9jxIgRUFNTQ05OjsQBJpK4uLhAQUEBKJwJeMuWLVi5ciXS0tKqOee1g2peCCGEkDpCW1sb48aNg5ubG6KiotiARCQSYf369ejcuTPatWtXao1KWFgYfH19UVBQgPj4+EqNaqrrKHghhBBC6hhVVVU0atSIff3o0SM8f/4cz58/h7W1NSZNmgQnJyeJx1paWmLz5s0IDQ2t0FpL9Qk1GxFCCCF1XKtWrTB69GioqKjg69evWL58OVavXs2u2VeclZUVOnfuzL5OTEzExYsXv5lOveWueVmyZInMF1uzZo3M5yCEEEK+N2pqahg9ejT69++Pc+fO4caNG3jx4gV8fHwwcOBAjBs3jm1iKi4/Px+rV6/Gly9fkJGR8U0seVPu4OXChQsyX4yCF0IIIaTyNDU18eOPP6JPnz44fPgwfHx88PnzZ86EdcXJy8ujf//+OHny5Dez0HC5g5eNGzdWb04IIYQQUi5mZmZYsWIFXr16BV1dXXZSu9zcXKSnp6NBgwac9D169EDHjh2/mSUFyh28DBo0qHpzQgghhJAKKb448qlTp3Dr1i1Mnz4d3bp148zUWzRwCQ4OxqVLlzB37lypzU11GXXYJYQQQr4BIpEInz9/RnZ2Nnbs2IHNmzcjIyOjRDqhUIi1a9fi0aNHOHv2bK3kVVYUvBBCCCHfADk5OaxZswbjxo0Dn8/H48ePMXfuXAQGBnLSKSgoYMaMGWjRogUGDx5ca/mVRZXM8xIYGIjTp0/Dx8cHCQkJEAqFeP78OQDg+PHjyMnJwYQJE6CsrFwVlyOEEEKIBHJychgxYgQcHR2xefNmxMTEYPHixfj555/RrVs3Np2rqytcXFxKXQCyLpO55uXUqVMYPHgwTp48iU+fPiE+Ph4pKSnsfh8fH2zZsgUPHz6U9VKEEEIIKQeBQIDt27ejVatWEAqFOHDgAJKTkzlpigYub9++RURERC3ktHJkCl6eP3+OlStXgsfjYd68ebh9+3aJNP369QMAifsIIYQQUj1UVVXx559/YtSoUZg7dy50dHQkpvP09MSyZcuwceNG5Obm1ng+K0OmZqMjR46AYRjMmjULM2fOlJhGPDXx27dvZbkUIYQQQiqIz+djzJgxnG3x8fHQ1tZmRxk1b94cmpqaaNSoEfLz8+vFcGqZgpc3b94AZQyjNjY2BgDExcXJcilCCCGEyCg0NBTLly9HkyZN8Pvvv0NOTg56enrYt28f1NXVazt75SZTs1FWVhYAQE9Pj91WvPNPXl4eUNiJiBBCCCG1JyUlBWlpaXj27Bn27NnDrnVUnwIXyBq86OrqAkCpnXzCw8MBAIaGhrJcihBCCCEyatGiBX777Tfw+Xzcu3cPN27c4OxPSUnB4cOH8fjx41rLY3nIFLyIZ/Yruu5R8ZqXK1euAABat24ty6UIIYQQUgXatm2LyZMnA4V9Vz99+sTuu3fvHq5du4YTJ05AJBLVYi5LJ1PwMmnSJPD5fPzzzz/Yv38/0tLS2H15eXn4999/cfr0aSgoKHwTq1gSQggh34IffvgBHTp0gEgkws6dO9kuHv3794eLiwtmzpwJPr/uzmMrU86aN2+ORYsWgWEYbNu2DW3atEFBQQEAoFWrVli1ahUKCgqwdOlSdtQRIYQQQmoXj8fDrFmzoKOjg8jISFy9ehUAoKKiguXLl8PJyalOT2Anc1g1adIkHD16FK6urmzHHwDIyclBixYtcPjwYYwaNUrWyxBCCCGkCqmrq2PatGno1asX+vbtW9vZqZAqWR6gXbt2aNeuHdLT0xEVFQWGYWBoaCh1QhxCCCGE1L4OHTqgQ4cOJbbn5ubi4cOHiI2Nxfjx42slb6WpkuBFTENDA02aNKnKUxJCCCGkhkVERGD37t1QVFTEsGHDoKioWNtZ4qjS4IUQQggh9Y+3tzcePXqEQYMGoUmTJrCxsUHbtm0hEAjYvqx1iczBC8Mw8Pb2hre3N+Li4iAUCqWm3bx5s6yXI4QQQkgVe/r0KZ48eQJTU1M0adIEPB4Pf/zxB7u/rg2blil4ycrKwsyZM+Ht7V2u9BS8EEIIIXVPo0aN8PDhQ4SFhdV2VspFpuBlx44d8Pb2hry8PAYNGoQWLVrUuymGCSGEkO+dmZkZACA6OpqzPT8/HwEBAdDX16+lnEkmU/By+/ZtAMDSpUsxevToqspTvZObm4ucnJwqOZe4ai4nJ4fWgyqCykU6KhvJqFyko7KR7HsuF/GcLkKhkPN9tm7dOvj6+uLHH3+EqalplZZNbm5upY+VKXhJSEgAAPTp00eW09R7MTExVVbVJp4rJyIiok5PEFTTqFyko7KRjMpFOiobyb7ncomNjQUKg5ei32eamppQU1NDfHw8TE1Nq7RsYmJiKn2sTMGLrq4ue8OEEEII+bb069cPAwcOBMMwyMjIqO3ssGSaYbdLly4AAF9f36rKDyGEEELqiLrafCZTzcvcuXPx4MEDbNiwAba2tjAxMam6nBFCCCGkRlhaWmL58uV1ejHGomQKXg4fPgwnJyfcunULAwYMQLt27WBqair15hctWiTL5QghhBBSDeTl5aGhoSFx36VLlxATE4O+ffvWmRHFMgUvR48eZf8/MzMTd+/eLTU9BS+EEEJI/RISEoKoqCgkJyfDysqqtrMDyBq8FJ19jxBCCCH1U0JCAh49egQNDQ307NmTs69Pnz7Izs6GgYFBreWvOJmCl0mTJlVdTgghhBBSK1JTU+Hl5QUDA4MSwYu9vf23NdqovkhLS0NycnK50ubl5SEmJgZZWVnVni9CCCGEVNw3u6r0p0+fcObMGdy7d4+dTE9DQwNDhgzBzJkzoaury0mflZWF9evX4+rVq8jJyQGfz0enTp2wYsUKGBsb19JdEEIIIbUrIyMDSUlJYBjm2+iwizq8qvT27dvx4MEDoHCGQD6fj5SUFBw/fhxPnz7FpUuXoKyszKb/9ddf4enpCT6fDyMjIyQlJeHBgweYOHEirly5AlVV1RrLOyGEEFJXPH36FHfv3oWrqyssLCxqOzvAt7yqtL29Pbp06YJevXpBT08PAPDu3TvMnj0bX758gYeHB/r16wcAePbsGTw9PWFubo7Dhw/DysoKaWlpWLBgAR49eoR///0X06dPr7G8E0IIIXWFiooKtLW1oaKiUttZYX2zq0rPnTu3xLbmzZtj5syZWLFiBeLi4tjtN2/eBAAsXryYHQamqamJNWvWoGvXrvjvv/8oeCGEEPJd6tSpEzp27FinOux+d6tKi1exbNasGbvt48eP4PP56NChAyetgYEBbG1t8fnzZwiFQigoKNR4fgkhhBDC9V2tKp2QkIDDhw+ja9eucHFx4Wxv0KABpw+MmJmZGd6/f4+UlBTo6+tLPG92djYyMzPZ1woKCpUOdMSrmor/S/4PlYt0VDaSUblIR2Uj2fdcLubm5li8eDHk5OQk3n91lI0s5/puVpVOTEzElClToKOjgw0bNnD25eXlSW3LU1JSAorU2Ejyxx9/cAIfNzc3DBs2TKb8Fg2GyP9H5SIdlY1kVC7SUdlI9r2Wi/j7rnjz0Pv37/Hhwwc0bNgQrq6uVXa97OzsSh8rU/DSpUsXnD17Fr6+vujWrZssp6pWYWFh+PHHH6GhoYEjR45AS0uLs19FRUVqW554e2mjjdatWwc7Ozv2taw1L5mZmVBTUwOPx6vUOb5FVC7SUdlIRuUiHZWNZFQukqWlpcHf3x/q6upVWjaydAD+5leVfvv2LWbMmAFra2scPHhQYodiU1NTPH/+HImJiezIJLEvX75AVVUVOjo6Uq+hoqICNTW1Ks03j8ejPx4JqFyko7KRjMpFOiobyb7HcklMTMSzZ8+grq6OLl26cPbZ29tDQ0MDmpqaVVo2spznm15V+v79+1iwYAGcnJywd+9eqVGek5MTnj9/jmvXrmHy5Mns9nfv3iEkJATt2rX77h5kQggh34/U1FQ8ePAA+vr6JYIXc3NzmJmZfTujjeryqtLnz5/H8uXLYWdnhz///JMzNBqFQ6HFtSmDBg3CoUOHsH37digqKqJVq1YIDQ3FmjVrAEDm/iuEEEIIqTrf7KrSp0+fhkgkwvv37zFgwIAS+6dMmcIGUzY2Npg1axZ27dqFlStXctJ1796dncyOEEII+d5kZGQgIyMDBQUFdWYut292VWljY2Okp6dL3V+8D8vs2bPRpEkTnDt3DlFRUdDR0UGvXr0wZswYajIihBDy3fLy8sKdO3fg4uKCUaNG1XZ2gG95YcY9e/ZU+JiePXuWWAqcEEII+Z4pKChAVVUVioqKtZ0VVpUGL/n5+aXOh1LVI3IIIYQQUr26du2KLl26fDsddlE4O+3u3bvh4eFR5oR1nz9/lvVyhBBCCPnOyRS8JCcnY8SIEYiMjIScnBy7XVlZGTk5OexrDQ0N2XJJCCGEkGpjamqKBQsWQF6+fvQmkTwhSzkdPnwYkZGRcHJygpeXF7v9zZs3uH//PkaOHAkUjth5+fKl7LklhBBCSJVTUlKCsbGxxDX8/Pz8cOrUKfj6+tZK3iSRKcR68OABAGDOnDnQ1tZmt/N4PJiZmWHlypXIy8vD5cuX4ejoWG9WniaEEELI/4mJiYGvr6/UCWhrg0w5iYiIAAqnDi5KJBKx/y8eTn3x4kVZLkUIIYSQapKcnIw7d+7g6dOnJfYJBAIMHDiwxHd9bZKp5kUchYkXLRT3dUlLS2PnUbG0tAQAfP36VfbcEkIIIaTKpaSk4M6dO9DX10f79u05+ywtLWFhYVGnRhvJVPMiXogxOjqa8/rLly9sGvG0/EKhUJZLEUIIIYQAsgYvzZs3B4oMgW7Tpg0AYN++fcjNzYVIJMLOnTuBwmonQgghhNQv2dnZSE5ORlZWVm1nhSVT8DJw4ECgSH+WyZMnQ1VVFU+ePEHLli3RsmVLXL9+HQAwderUqsgvIYQQQmrQ06dPsXbtWty/f7+2s8KSqc9LmzZtcPLkSXaOFwsLCxw5cgSrV6/Ghw8fkJubCyMjI/zyyy/o27dvVeWZEEIIITWEz+dDXl6eM59bbZO5w66rqytnm7OzMy5duoSMjAzk5eVBV1dX1jwSQgghpJZ069YNXbt2rVMddqttKr26smw2IYQQQr4t9WMeYEIIIYRUG2NjY/zyyy9QUFCo7ayUi8zBC8Mw8Pb2hre3N+Li4kodEr1582ZZL0cIIYSQKqasrMzOy1bcp0+f8P79exgbG5eYA6a2yBS8ZGVlYebMmfD29i5XegpeCCGEkPolMjISz58/h7Oz87cRvOzYsQPe3t6Ql5fHoEGD0KJFC+rrQgghhNQzqamp8PX1hYqKClq3bs3Z17BhQ/Tu3btODcCRKXi5ffs2AGDp0qW06CIhhBBSTyUlJeH69eto0KBBieDF2toaVlZW385oo4SEBABAnz59qio/34SCggIwDCPzOUhJVC7SUdlIRuUiXV0oGx6PV6dWKyb1g0zBi66uLmJjY6suN9+AgoIC5ObmgsfjVfoc8vLytBaUBFQu0lHZSEblIl1dKRuGYaCkpEQBTB2Wl5eHvLw85Obm1pmuITIFL126dMHZs2fh6+uLbt26VV2u6jGGYcDj8WBsbAxFRcVKnUMkEtWpmQzrCioX6ahsJKNyka4ulE1eXh6io6Nlrqkm1evx48e4efMmnJycMGbMmNrODiBr8DJ37lw8ePAAGzZsgK2tLbuqNAEUFRWhpKRUqWPrwodKXUTlIh2VjWRULtJR2ZD6rNzBy4YNGyRud3Jywq1btzBgwAC0a9cOpqamUqv/Fi1aVPmcEkIIIaTG1evlAY4ePVrq/szMTNy9e7fUNBS8fLtSUlJw9epVTJw4sbazUmmXLl1C9+7doaWlVWq60u61suXwLZRfcdV5T4GBgQgKCqqxBV8ZhsHx48cxYcIEmfqzVUZQUBCioqLQqVMnia8JqW7iZ76mn/3SlDt4+eOPP6o3J6Ta5ObmYt++fUDhYpp6enro3r07jIyMAAAZGRk4e/Yspk6dWulrpKWl4fz58zX25ZuYmIgTJ05I3Ne0aVP06NEDOTk5uHXrFuLj49GsWTO0adNG6vmCgoJw48YNuLm5sdsiIiLw8OFDZGRkoEmTJujUqRP4fH6p91rZcqiJ8nv37h1evHgBZ2dnODs7l5q26DOjqKgIa2tr9OzZE/Ly//eRUZ5npjrvKSQkBJ6enjUWvNy6dQvR0dHsh3dYWBg8PT0hLy+Pnj17wsDAgE2blpaG69evIz09Hd26dUPjxo3LtS8iIgIeHh7Izs5Gs2bN0K5dOwCAmZkZfv/9d7i4uEBNTa3Ea0KqgpGREX766advb3mASZMmVW9OSLXJzc3FsWPH8PPPP0NOTg7+/v7Yv38/rly5Aj09PfB4vDrTg7y8+Hw+NDQ0gMLA482bNxg2bBhQOM11bm4uJk2aBHt7e2hra2PFihVwc3PD9OnTJZ7v1KlTGDx4MPv68uXL2LBhA7p37w5jY2NcvXoVJ06cwJEjR2roDqvWmzdvMGfOHAwdOhT79+/H6NGj0bVrV6npiz4zBQUFOHbsGG7duoUdO3YAhb/A6tszI4t///0Xy5cvBwB4eHhgz549aNeuHZKTk7F3716cPHkSVlZWyM/Px6RJk2BiYgILCwtMmjQJR44cga2tban7QkJCMHbsWPTt2xfa2tr466+/MGbMGEycOBHKyspo27Ytbty4gREjRpR4TUhVUFFR4QTTRQUEBODTp08wMDAo9UdgTaKFGb8jEydOZDsRDxw4EMHBwdDT0wPDMGxbpriqv2vXrvD09ISmpiYGDhzI/uJOTEzEzZs3oaSkhLZt28LDwwMTJkxgryH+RVr0OKFQiD179gAAtLS00L59ewgEAs71OnbsiEePHkFXVxcDBw6En58fvLy8YGtriy5dupS4Fx0dHfZX/927dxEVFcWpBcjLy8P27dvZ2iVra2tcu3ZNavDi4eGBn3/+GQAQHR2NtWvX4sCBA5waisDAQM4xku61suUg9vXrVzx8+BB6enro168f5OTk2DLq3LkzHj58iJYtW6Jx48acc7Vp0wZ2dnZS3/sXL15g8ODBmDt3LhiGQVRUlNS0RYmfmYEDB6J///7IysqCqqoq55kBAKFQiDt37iAkJARCoRCjRo2qdFlIul97e3u2tsXAwIDT0VQkEsHDwwMBAQEQCoVwcXFBx44d2ffywYMHEIlE6NKlC7t2S2BgIAICAmBhYYEXL17A2tpa6ojJuLg4xMTEsPmzsbHBmTNn2F+ov/32G+7fv4+pU6fi4cOHkJOTw65du8Dj8aCjo4Pjx49j7dq1pe77/PkzbG1tsXTpUgCAgYEBZ9mVdu3a4fjx42ywUvw1IdUpPDwcjx8/hpOTU50JXmQaWJ+fnw9PT088fvxYaprHjx/D09MT+fn5slyq3svJyZH6Ly8vr9JpK2LPnj3Ytm0b5s2bBxsbG7Ro0QIo7K905swZoLBa++DBg1i1ahUyMjJw/vx5bN26lU03duxY+Pn5ISIiAvPmzcPFixfZ8ycnJ0s8DgA0NDSgoaGB1NRU/PLLL3j37h17vQMHDmDNmjXIzMzE4cOHMW/ePOzZswf5+flYvXo1PDw8KnyvioqKMDIywoEDB7Bu3TqcP38eP/30k8S0sbGxKCgogJ6eHgDg0aNHsLe3L9G0UvRXSWn3WplyEB+3YsUKZGRk4PTp01ixYkWJ9yQ7O5v90ix6rnnz5nHOVVzz5s3x8OFDZGZmgsfjwdTUtELlKRQKwefz2WaTos9MXl4exo0bhytXrkBeXh4aGhpsp/3KPhPF7zckJATjx49HdHQ0fHx8sGvXLvY8x44dw99//81eWxygh4aGYsyYMQgODkZUVBTGjh2LDx8+AIXNTtu2bcPBgweRk5ODTZs24erVqxLv3d/fHzY2NuxrKysrTtV6XFwcLCwsgMIF7Fq2bMmWU+vWrfHp06cy93Xu3Bm6urpYvHgx1q1bh//++w8//vgje43GjRvj48ePUl8TIqu0tDR4eXnBx8enxD5LS0t07doVjRo1qpW8SSJTzct///2H3377DQMGDGB/6RR35coVXL9+HVu3bkX//v1luVy9VrR2ojgnJydOn6IZM2YgNzdXYlp7e3v2S62i1NXVIScnB11dXbx//x6pqanQ19cvkS4/Px/bt2+Hmpoa+vTpg4ULFwKFy0HY2tqyI8+aNGmCAwcOlHmcgoICunfvjkePHoHH48HS0hKenp5o3rw5UDix365du6CqqgpbW1ts2rQJN27cYPPq5eVV6XmE1NXVkZWVheTkZERHR0tMk56ezuk7kJycDENDw1LPK+1eZSmHnJwcbNu2Dbq6upg8eTJ69+6NxMREoDBA2LZtGzQ1NdnrFD2XhYUF51xFMQyDmzdvwsrKCtOnT8f27duhr6+PgIAABAcHlzpD9p49eyASifD48WNMnjwZKioqJdLcvn0bqqqqOHToEGd7WFhYpcui+P2uX78eo0ePxqxZswAA27ZtY9/P0NBQdOjQAePHj4eqqip7/TNnzmDw4MH49ddfgcLajH///Rfr1q0DCmvvdu7cCR6PB2trazx69AiDBg0qcX/Fn4+iDh48CHV1dXTv3h0o/ALQ0dFh96urqyM1NbXMfZmZmYiIiEDjxo2hpqaGpKQkxMfHc9IWrekq/poQWSUlJeHSpUto0KBBiR9ujRo1QsOGDevUMydTzcuFCxcAAMOHD5eaRtwPQZyW1J6JEydi6tSpWLZsGezs7NhfzsXp6+uzH9ZaWlrsAxsXF8eJvIu3j0o7zt/fH5MmTUJkZCRUVVWhqqqKtLQ09rgGDRqwXzqampowNTVlmwU0NTWRmZlZ6XseO3Ys5s+fj5UrV2Lbtm0S02hpaSE9PZ19raenV2azirR7laUcdHV12YXP1NTUYGxsjLi4OPacRQOX4udSU1PjnKuohw8fIiYmBjt27MD06dMxbdo0+Pv74/Lly8jKyir1PtXV1dn3pmHDhhLTREVFwcHBoULlVFZZFL/fmJgYzvNW9DmcPn06Pn78iO7du2PSpElsDU5MTAwnXZMmTRATE8O+trCwYGtBir+HRRV/PsQOHTqE169fY8uWLWxNk5aWFhuQoDBg0dbWLnPfhQsX0KhRI6xcuRJz5szBb7/9hu3bt7Np09PTOaPgir8m5HsjU83Lly9fAAlfYkWJ94nTfq+OHz8udV/xeXH2798vdfKoqppCOz8/v8JNUCYmJrhz5w77WlzlXZZXr16hd+/ebO2SuONjdYqKimKbJQAgOztb6qSB+vr6UFZWRlxcHAwMDNC5c2ds2rQJXl5e7IgPFI7WkVSzUV5llUNSUhJiY2NhaGiItLQ0REdHw8jICOnp6SXe9+LnWrZsmdTrpqWlISsrCwUFBejcuTMMDQ2xcOFCaGtrc2qMJCna52XChAlwdXXljKxBYRBw8uRJdnbpqiiL4vdrZmaGDx8+oGfPngDAaTIxNzfHrl27IBQKcfXqVaxfvx6nTp2CqakpPn78iB9++AEA8P79e5iZmZUrf0XZ2dkhODiYs23nzp34+PEjdu7cyXmumjZtiu3bt7MTwD158gRNmzYtcx/DMJyp+os3swcGBnICxOKvCalOIpGI/VdXyBS8iH9FiL8gJBH/ekpKSpLlUvWesrJyhdJWx8yXe/bsAZ/PR1RUFJ48eYK///67Qsf37NkThw4dwuzZs2FgYID379+XK5/NmzfHvn37UFBQgNjYWAQGBnKCguqQlZWFefPmwcHBASKRCA8ePMC8efOkpu/evTuePHkCNzc3GBgY4K+//sKvv/6K1q1bw8jICMHBwVBSUsLu3bsrnaeyykFFRQULFiyAg4MDnj9/jv79+0NHR0fir/7i5woICED79u0lXrdbt244fvw4xo4dC0dHR4SHh0NfXx8JCQl4/fo1WrVqVWbeLSws4Obmhp07d2L16tWcfT179sTZs2cxbtw4ODk5QV5entNhtzJlUdyoUaMwbtw4tn/S58+f2Q60ly5dQlhYGAoKCvD69Ws2IBgzZgzGjRuHxMREKCoq4vHjx5UaLaanpwdLS0t8/PgR9vb2OH/+PNtZVjyc3MnJCZ07d0bHjh2xb98+TJ06Febm5vD09GT/zkrb179/f4wePRoLFiyArq4u7ty5wzaRobDvYI8ePaS+JqQ6PXz4EP/99x8cHR0xduzY2s4OIGvwoq+vj6ioKHz58kXqSIegoCCg8AOA1A5lZWXMmTMHKBziamlpid9++43t76Kurs52DtTW1ubMy6GqqsruU1FRwcmTJ+Hh4QElJSU4Ozvj5s2bZR7XvHlzHDx4EG/fvkW3bt2gq6vLrkhe/DgzMzMMHTqUfW1ra1tqcIzC2r3ioy4aNWqE/fv34+HDh2AYBlOnTmVHmkgyduxY/O9//2Pneenbty9atmyJp0+fIjMzEz179oSrq2uZ9ypLOcydOxcdOnTA06dP0bZtW3aUVfFzSjqXtra21B8I6urqOH36NB4/foyoqCi0bdsWHTp0wOfPn+Hn58fpRComfmaKjqCaOnUqzp07h7y8PM4zIy8vjyNHjuDx48cIDQ1Ffn4++Hx+lT0TKHwuzpw5g8ePH8PAwAAzZsxAaGgoUPhcamhoQEFBATNnzmSDIBMTE5w7dw5PnjxBQUEB5syZw/Zlaty4MSfwtrS0lNjfRWzixIm4cOECli1bhoYNG2LmzJklyguFNUbHjh3DvXv3kJ6ejp9++omt7Sltn7m5Oa5evYrHjx8jJycH+/btg729PVAYiL9+/ZoNvou/JuR7xGNkWBHrt99+w7Vr1zBkyBCsX79eYpqFCxfC3d0dAwYMwJYtW2TJa53j4+MDFxcXXLp0ia3CFYlEEAqFsLS0/CbXNjp58iTi4+ORkpICDw8PrFu3Tuov/qpW3eVy+/ZttG3bltPXor6oy89MbarKcrlw4QKGDh1a47OMfv36FQkJCWjZsqXE15VVF56Z3NxchIaGQkFBodbzgsLmu4yMDKirq9ep2WRrQkhICHbv3o0GDRpg8eLFnH35+fnIz89HdnY2tLW1q6xsPnz4ADc3N7x+/brMiTOLk6nmZfz48XB3d8fly5ehoqKCWbNmsb/m4+PjsXv3bri7u4PP539T055/z9TU1JCTkwMTExNMnDgR1tbWtZ2lKtO7d+/azgKpw8SDD2qatbU15++s+GtCqpu8vDzk5OQ4/bJqm0zBS/PmzbFgwQJs3rwZp06dwunTpznBi7hS57fffpOpoyOpO4rOQksIIeTbYGBggClTpnx7ywNIM23aNDRq1Ah79uzB+/fv2aGdPB4PLVq0wOzZs2kBMUIIIaQOU1VVZftZFfflyxcEBARAT09P5ubKqlIlywN07doVXbt2RUpKCjuPgrGxMc1DQAghhNRzoaGhuH//PhwdHb+t4EVMW1ubnXSJEEIIIfVDRkYG/P39oaSkhGbNmnH2mZmZoUOHDiXmeKpNtDAjIYQQ8p1LSEjAmTNnoKenVyJ4EQgEaNy48bezPMC3Jjc3F56envj3339x48YNpKSk1HaWvglZWVmcFXLLKzc3F0+fPq3y/Hz9+hVfv34FCttyxfOFSEtTFwmFQrx69apcaaXdY1n7KnvO+qo67+nt27c1OlFncnIy/P39a+x6Rfn4+HDWZiv+mpCqQMFLIX9/f/Tt2xczZszAqlWr8Ouvv6Jbt264d+9ebWdNZkKhEB4eHigoKGC3FRQUwMPDo0ame05ISCgxK2t5pKSkSF2EMiwsDB4eHvDw8MCTJ08QERFR7vPeunULt27dAgC4u7tLfI+LpqkKgYGBbH6L/yu+JpGPj0+pK0QDwLlz5/D27VvOtuTkZHh7e+Pdu3fIyclht0u7x7L2laayx1VEcHAw3rx5U65ntOjz8OrVqxK/EMsTjFbnPe3fvx8BAQHVcm5Jtm7dyi7qCQCJiYnw9vZGZGRkibSZmZnw8vKSuNxHafsSEhLw7NkzvH37lvMeffjwAadOnZL6mpCqQM1Ghb/wZ82ahcjISNjZ2cHFxQUhISF48uQJ5s+fj+vXr5c6O2tdl52djfnz5+PFixfsxHlCoRDz58/Hs2fPOCvx1heenp44efIk7O3tIRQK8e7dO4wfPx7Tp0+v7axJ5Ofnh0ePHgGFv8INDAxgbGwMALCxsWEnxnv37h3mzp2LFi1aSF2KQCQS4eTJk5wvhL179+L06dNo2LAh+Hw+EhISsGzZMrRu3bpG7q+q/fPPP/j777/RsGFDyMnJYe/evaVOYlb0eUhMTERYWBgOHjzILsworoX4HuZHiYuLw9u3b7Fq1SqgMHC6dOkSrK2t8fHjR4wcORKzZ88GCicmmzJlCszNzREVFYVOnTrhf//7X5n7/vvvP6xZswZNmzZFQkICGIbB33//DU1NTQwZMgTDhw/HuHHjoKCgUOI1qX88PDy+reUBvhXu7u6IjIxE165dsXfvXnZRuAMHDmDr1q04cuQIVq5cWdvZrHahoaGIioqCtbU1jIyMgMImn3fv3sHR0RGfPn2CkZERjI2NkZycjE+fPiEnJwe6urpwdHRkzxMWFobQ0FAIhUJ2Sn0UBokfPnyApqYmZ7Vfadcui4uLC9atWwcA8PLywtq1a9ng5fPnz9DQ0ICJiQlQuEyFkpISzM3NSz2nj48Pu7JzUXl5efD394dQKIS9vT1UVFSQlZUFX19fzgzDYWFhyM7ORpMmTTjHu7m5sUsPzJw5E3369CkxHX1ubi62bNmCyZMnw8fHp9Q8Ghsbs53jr127hmvXruH06dNskJ2YmFii2SA+Ph7BwcGwtbUtMRJQ0r7w8HAEBgaCz+fD1NRU4gKssbGxCA0NhZ2dHbuMw5cvXyAvLw8VFRUEBgaiffv25TpXUefOncPevXthZ2eHFy9eID8/v8wZWIs+DytXrsTp06fZL1tbW1tOWvH7mZiYCFVVVU6QV9GykHS/KFzVOjw8vMTSKQzDwM/PD4mJiWAYBm3atGF/QCQmJiIoKAiGhoawsrJij3n79i3MzMyQkZGBuLg4NGvWTOp6aXfu3EHHjh3Z12ZmZvjvv/8gLy+PkJAQDB48GBMnToSqqiqOHDmC/v37Y8GCBUhNTcWgQYMwZswYNGzYsNR9V69exYIFC+Dm5gaGYTBs2DC8ffsWHTt2hLq6OqytrfHixQu0b9++xGtCqgIFLwD7i3j27Nmc1WwnT56MQ4cOsftlIa7GV1JSYqdWFk+5LCcnx/lFkpOTAzk5OSgqKrL5Eafl8/lQVFSsVB4ePnzIrlVTfNXalStX4s2bNzA2NkZAQACmTJmC0aNHIyEhAX/88QfMzc2hrq6OiRMnIiUlBTNmzICtrS1UVFQgEAjY4GX58uV4/Pgx7O3tIS8vDxsbG/D5fGRmZuKnn36CkpISPn/+jJkzZ2LkyJGlXrsscXFx8PDwgFAoxI0bN9ChQwd237lz5+Dg4MAGDFevXoWhoSHGjRsn9Xy7d++Gv78/Nm7cyNkeHh6OuXPnQldXFwzDICoqCocPH4aJiQnWr1+Pbdu2scHYunXrMHLkyBLBS3ns2rULo0aNKnO173fv3nG+jC9duoQJEyZwagf19PQ4XxSPHz/GrVu3oKGhgeDgYJw7d44dOSBt35cvX3Dt2jUUFBQgNDQUDg4OWLt2LXvOR48e4caNG9DU1ERERASOHDkCS0tLuLu7w9fXFxkZGbCwsED79u3LPFdxRkZGCAoKgp2dXbkWjizO2NiYE7yJmwBnzpyJ0NBQ/Pzzz1BTU4OxsTGMjY3Z4KUyZSHpfm/fvo1Vq1bB3t4eSUlJnL+3GTNmICkpCSYmJuDxeHBwcICqqiru37+Pv/76C02aNEFwcDB69OjBrrq9f/9+5OfnIysrC/n5+SgoKMCpU6ck1mS8e/eO87cwYMAA9v/Fa0CJP0NevnzJLtuipaWFtm3b4uXLl2jYsGGp+/r164dr165BRUUFcXFxkJOT40xEamdnhzdv3rDPYPHXpH5p3749XF1d61TfJQpeCtvWlZSUSiwxr6ioiKZNm+LZs2fIysqSqXllwoQJAIDDhw+zTQTXrl3DmTNn0K1bN8yYMYNNO2PGDOTm5mL37t3sF8zt27fxzz//oEOHDuwiixV1/fp1Nhgq2v/l6dOn+PDhA1uVnJaWhs2bN7MBRGpqKo4dO8b+Evznn3/Qv39//P7775zzP3r0CG/evMH169c5ZRUWFoa0tDSsXr0aZmZmePPmDdauXYuRI0eWeW0xf39/REREgM/no0WLFkBhUHHt2jUIhUKEhYWhb9++lSqX/Px8/O9//4OCggJ27NhR4hf+9u3b0bFjR/a6d+/exenTp7Fw4UIMHz4cFy9exKJFixAREYHw8PBKTcro6+uL6OhoLFy4EFevXi01bVJSEqfmJCoqCjY2NqUeo6qqimPHjoHH42HZsmXw8PBgV36Wtq9Lly6wt7fHly9fkJmZiTVr1iAuLo4zXPL8+fOQk5PD/v37cejQIbZvk6KiIs6fP88+b+U5l1hmZibk5ORw4MABaGpqonPnzkDhl7KpqanURV7FwWxiYiLOnDnDfvEXt23bNvTr14+zanNZ5VRW/ovf76ZNm7Br1y44OTkhISEBP/zwA1BYu+bn5wcPD48SNSfr1q3Dpk2b0Lp1a6SmpmLw4MEYPHgwW3Njb2+P+fPnAwBGjhyJ9+/fw8nJqcQ9FH8+xAoKCrB27VpMnjwZSkpKEIlESExM5JRn0QUyS9snEAiQnp6OS5cuIT4+Hq1bt+b8zWtra3P6GBV/TeoXJSUlKCoq1qn1nih4KewYqqenJ/GNEf/xpqWlSQ1esrOzkZmZCRRWCcuywJgM62SWadOmTWyfl9zcXPYX7cePH5GVlYVr166xaYtG2QYGBpwq7O7du2P27NkYOHAgWrZsidGjR6Nx48bw9/dHhw4dJJaToaEhu4KumZkZO5KrrGuL+fr6siOWxCsDF20miIuLw8CBA9GqVasKr2B+6tQpNGzYEEePHpW4/+PHj8jIyOCMRBEvgzF48GAMHToU8+bNw8WLFzF8+HBO7V15rVixAuPGjYOHhwc+ffqEpKQkPH/+XGKfFRUVFU75qKmpISUlBQzDSP1wcXZ2ZvcVLf/S9l24cAG7du1CkyZNoKqqivz8fCQkJLBf2K1bt2af9Q4dOnA6Zbu6unLKoaxzFbVlyxa0b98e/fr1w7x58xAeHo6xY8fizz//xN9//y21DMXBbGRkJMzMzNimk+J/U58/f2aD5fKWU1n5L3q/qampyM7OZgOLBg0asDVlSkpK+OGHH9CrVy84ODigV69eGDx4MNLT05Gamsq+31paWnB0dGRrn8TXECv+HhZV/PlAYT+pZcuWQVdXFzNnzmTLRE1NDdnZ2Wy67Oxs9tkubd+yZcswbdo09OrVCwUFBZg8eTJu3LjBLh+Sk5MDFRUV9tjiryWpzs++8hLnoS7kpaY1aNAAY8eOhZKSksT7r46ykeVcMgcvDMPA29sb3t7eiIuLK3Xhps2bN8t6uWoj7UNfvL20Qv7jjz/YX1EmJiZYs2YNRCIRpwf+sWPHgMIPL/H2/v37o3fv3pCTk+Ok3b9/P1D4a068vUePHujSpQv4fH6FRwiJa1mK5qnof7W0tGBmZiZx1W/xyrNFr2lsbIyLFy8iODgYXl5emDZtGu7duwdtbW28f/++RP5EIhF4PB7nmgzDlOva4v+OGDECI0aMYPe9ePGCPQcA6OjoAIVBjLa2NhQVFZGVlcXuj4+Ph76+PkQiEac8GIbB8OHD8eHDB2zfvh2//PJLiTLT0dHB0KFD0b179xL5U1NTQ/v27XH9+nXcuXMHJ0+eLPP9YRgGBQUFnHRWVlZ48uQJUNhXIj4+Hvfu3eN8YYnZ2NhwRoq1adMGN27cQJ8+fTjpUlJSoK2tzT674vTichPfv7R9Z86cwY4dO9CsWTPk5+ejX79+nOOio6PZ4yIjI6GlpcXuK/7MlHau4sRBsK6uLg4cOIAlS5bg7t276NKlC3R0dCQeU1BQAGdnZ6xZswYA8Oeff2LPnj2YO3cuCgoKSryfYWFhJTrvylIWRe9XRUUFQqGQrQFhGAaxsbHse/7bb79hxowZ8PHxwd69e6GoqIiePXuy6Ro0aAAU1qgVLdOiz3vRvEl6PkJCQth9QqEQS5cuhba2NhYtWsSpdbWyssK7d+9gYWEBFI4M6tixI0QiUan74uPjYWpqyl7D1NQU8fHx7OuQkBC4urpKfS0mvresrKwS91GbxD9Gvzfi5u/io/UiIiLw9etXGBoaQiAQVNn1igbHFSVT8JKVlYWZM2eWew6Puhq8aGhosMsaFJecnMymkWbdunXsryPxB5n4n5iamlqJ4+Tk5NiaEDGGYaCsrAw+n88JqCSlLS/xL8KieSr63759++LIkSNYvXo1WrduDUVFRairq6NVq1aQk5MDj8fj3EtQUBDCwsLAMAxycnKgpKQEeXl59OnTBwcPHsTGjRvh4uICeXl5uLq6ljhHRa4tTif+wheXC5/PR3x8PB4+fIj8/Hw8fPgQDRo0YEenNG/eHHv37oW2tjbCw8Ph5eWFpk2bQk5OjlMePB4PKioq2LlzJ3777Tds2bIFv/32GyfNxIkTsX79ekRHR8PMzAw8Hg8CgYCtSRo1ahSmTp2Kvn37lmuGaXH+i5bpjh072P+/evUq7t69iyVLlkg8vl27dti5cyebv2nTpmHSpEmYOXMmevXqBR6PBy8vLzg4OGDKlCng8Xic8i96/dL2GRsb49y5c4iOjsadO3eQkZHBOe7Ro0c4cuQIGjRogIMHD2LevHkSz4nCgFfauYrr27cv1q5di6ioKGhra0NFRQVfvnxBUlJSib+Los940Wv+/vvvcHNzw5AhQ2BlZcV5P8eOHYt169YhJiYGRkZGUFNTQ+vWrWUqi+LPt7hZdfDgwfD29mbznpeXh2fPngGFX5AikQiqqqpQVFTEDz/8gEWLFmHYsGF48+YNMjMz0aZNG87fj6S8Fde5c2ccOHCA7by+ePFihIaGol+/fmz/vVatWkFFRQWjRo3C5s2bkZ+fD39/f2RmZqJTp06Qk5MrdV+nTp2wdu1ajB49GrGxsfDw8MDff//N/q2+efMG8+fPl/i6KPG9qaqqVqrGsqoxDIPMzEyoqanVqSaS2hYdHQ0PDw+0aNECTk5OVVY2ZdXGlUam4GXHjh3w9vaGvLw8Bg0ahBYtWkBdXV2WU9YKa2trBAcHIzAwkDOKQCQS4f3799DX1y/1vlRUVNjgRCQSybRsuPihqMo/HHl5eXTt2pXz4cDn89G1a1fIyclBVVUVZ86cwdmzZ3H//n0IhUKYmpqiVatWUFVVRZs2bTjn+/DhAzw9PcHn82FsbIxDhw4BADQ1NXHmzBmcOnUKt2/fhkgkgo2NDdTV1TnnUFRUZDvuaWhoSL22kpISm654uVhYWEBDQwPXrl2DgoICLCwscPToUbYjYu/evZGSkgIvLy84Ojri119/ZQOLok1gDRs2hIqKChQUFLB582Zs374dDx484KTp3bs39PX1cevWLfj6+gIAhg4dygYv4lEp5elkDAAtWrQodUSVkZER279GEm1tbbRs2RJPnjxB586doauri3///Rfu7u549eoV1NTU0L9/f3Tr1o1zj2JWVlbsL+DS9i1btgxHjx7Fs2fP0L9/f1hYWLD9tRo2bIg//vgDkZGReP36NebNm8fW/BQ/Z1nnKm78+PEwNzfHw4cPkZOTg44dO2LVqlVYt24dvL290bZt2xLHWFhYcL4Y9fT0MHfuXDx//hzW1tac97N///7Q0dHBvXv38OLFC7bDrixlUfx+//zzTxw/fhze3t7o2LEjzMzMoKury2kiVVNTw/Tp09G1a1f2mHPnzuHp06cwMjLCP//8wz7PLVq04IyCa9q0KVtDU5yzszPS0tIQFRUFExMTKCsrw9TUlNM0a2dnBxUVFfTp0wcMw+DBgwfQ0dHBoUOH2HIsbd+SJUtw/vx5PH36FGpqajhw4ADbNPbixQs4ODiw+Sv+Wpq6FCyIA9LvSWZmJoKCgqCoqFhihJyJiQlatWoFIyOjKi0bWc7DY2RodOrSpQuio6OxYsWKcn9w10X//vsvVq1ahUGDBnFGmpw5cwbLly/H4MGDsWHDhhLH+fj4wMXFBZcuXWI7+4qDF0tLy0rXlIibaghXXSwXcSD38eNH7N27t8auGx0djevXr2PatGlAHS2buuB7LZdXr14hLi4O/fr1k5qmusrm2LFj6N69O9vcVPx1Ubm5uQgNDYWCgkKdeJ8YhkFGRgbU1dW/u+AlNDQUu3btgp6ensTO7tVRNh8+fICbmxtev34NZ2fnCh0rU82LuOd58bb2+mbQoEHYvXs3rl69ioSEBLRs2RKhoaG4du0a+Hw+Jk2aVNtZJHWU+EtCPJ9ITTE2NmYDF0KKk9RXqqZMnjy51NeEVAWZghddXV3ExsZWXW5qiYaGBnbu3InZs2fj6dOn7Ho6CgoKWLp0aYkqNELEJk6cWNtZIISQ745MwUuXLl1w9uxZ+Pr6su3r9VWrVq1w+/Zt3LlzB1FRUdDR0UG3bt0kVnUSQggh34tHjx7h1q1baNq0aZ3pIiJT8DJ37lw8ePAAGzZsgK2tLTsVe32lo6PDzvpKCCGEkP/rH5WXl1cjC/mWl0zBy+HDh+Hk5IRbt25hwIABaNeuHUxNTaUOeVu0aJEslyOEEEJIDWvTpg2aN28u00jaqiZT8FJ0RtLMzEzcvXu31PQUvBBCCCH1i4qKCpSVlUtMXlebZApepK0dQr4/IpEIaWlp7Ey3ta2goAApKSkSV4gmhBDCpaurixEjRlR6io+aJlPwQkOIy0+8Emx5VGT+BT6fz64ULQ3DMEhMTAQKJwXS0tLiHFMVX/SRkZGYNWsWrl+/XulzVKX4+HiMGzeuzNrAikpNTYWamlqZZV7RtFVFJBIhMzNT6gRwshIKhWAYpsTK5omJiZwlNDQ1Nctc/TwrKwtZWVlQUlIqdQZrQkj109DQkLqCe0REBIKDg6GhoQFHR8caz5sktDBjDcjPz0dUVFS1nd/ExKTUL8j09HR0794denp67PTXffv2xbJlyyAnJ4fExETMnj0bZ8+erbY8fit+/fVXLF68mDMTc1WkrQoeHh5YsWIFcnJyYGVlhR07dsDY2LhKzp2VlYWdO3fi+vXrEAqFcHR0xPr169matv79+0NFRYWdvGrVqlXs7MjFxcTEYMmSJXj79i00NTXRo0cP/Pnnn1WST0JI1QsKCsL169fRvHnzbyt4ycjIwNWrV/H8+XPExcUBhSsRt27dGoMGDaqXSwZUpfLWuFT3+W/evAklJSUkJydj6NChePfuHZycnKCnp4d9+/YBxZp/cnNzoaCgUKIDtlAoZLdJaioqflzRmh8NDQ1OtWTR6+Xk5HBm2hTP5ihN8WOVlJQkzvyYn5+PzMxMaGlpscelp6dz1iEq654kSUlJgZqaGhQUFNhtCQkJZU6DXhZpNW+lXS83Nxd//fUX1qxZg/bt22PLli3YuXMnu+q2rD5//gxLS0vcvXsXfD4fv/32G/bv389pOr5x44bUldeLWrJkCRo2bIh9+/aVWTtDCKkZ2dnZCAkJgYKCArtAo5iBgQEcHR3r1IhimYOX58+fY/78+eyXU1G3b9/Gnj17sG3bNnapd1J7EhMToaCggJCQEBQUFMDAwAAo1sQSGRmJ6dOnw9nZGY8fPwbDMNi0aRO7nsz27dtx6tQpqKqqom/fvvDy8sLVq1eBwiDhzz//LHFcTk4OuyJ0VlYWmjdvjm3btkFNTQ2RkZGYNm0a7Ozs8Pr1a8jJyWHdunU4cOAAPn/+DD09PRw+fFjiWkDivDZv3hxeXl6Ql5dnv7yL+vz5M9atW4d///0XABAWFoYFCxbg0qVLZd5TaQ4ePAg9PT1MnToVKFwuYvPmzTh16lSl3p+PHz/i2rVr8PHxwblz5yp0PR8fH+jp6aFjx44AgAkTJmDgwIFgGEZiQFe8mUeMz+dLbD50cnKCk5MT+9rFxQUBAQGcNDk5OZCXly81IAkKCoK/vz92796NvLw8Cl4IqSPi4uJw5MgR6OrqlqgJtbe3h52dXZ3qsCvTMp5hYWGYMWMGEhMToaOjgxkzZmDz5s3YvHkzZs6cCV1dXSQmJmLmzJkICwurulyTShk3bhxGjhyJGTNmYODAgTA1NZWYLiYmBn379sXjx4+xZMkS7N+/HyicCv/OnTu4ceMG7t+/X+JBlnaciooKPDw8cPv2bVy7dg0GBgZs4AAAsbGxGD58OB4/fozRo0dj/vz5WLRoEZ49e4ZWrVrhwoULUu8pOjoaXbt2xZMnT7BmzRosW7YMeXl55S6Tsu6pNCNGjMCVK1fYIOD8+fMYM2ZMuY9H4QfG33//DTc3N6xbtw7W1tY4ePBgha8XFxfH+VVkYGAAkUiElJQUiecaN24cRowYUeKfeCXi0qSlpeHixYsYMmQIu01PTw8jRoxA+/btMXXqVKmrtIeGhsLExARz585Fr1690KVLF9y7d6/MaxJCSFEy1bwcPHgQWVlZcHJywuHDh0tU8f/444+YOnUq3rx5g4MHD2L16tWy5pfIQNxslJ6ejp9++gnu7u4YOHBgiXSGhobsL3gXFxds374dAPD27Vv07NkT+vr6AIAxY8bg3bt3ZR6XnZ2NxYsXw8vLC2pqahAKhZzmBUNDQ7a2xNHREQKBgF2SwcnJCd7e3lLvSUdHB3379gUAtG/fHpqamggNDS13h9Wy7qk0VlZWMDExgbe3N+zs7PDmzRusXLmyXMcCwC+//IKgoCD88MMP2L59e5mzOZd2PTk5OU7zIcMwKCgokNoX6t9//5Va81Ka9PR0zJ49GxMnTuSsn3Pjxg2gsPZl/fr12LBhA7Zt21bieB6Ph4CAABw8eBCtW7fGkydP8Ntvv6FTp05UC0MIKTeZghfxGkB//PGHxL4J6urq+OOPPzBy5Eh4eXnJcilShTQ0NODk5AQ/Pz+JwUvRPhV8Pp/9UpSXl0dubi67Lycnp1zH3bx5EwUFBXjy5AmUlJRw7NgxRERESD2u6Gsej1dqnx7xKC7xl66430xR8vLyyM/PZ19nZWVx9pV2T2UZPXo0Ll68iGbNmmHgwIElrl0agUCAL1++4PPnz2jcuDGMjIzK/AKXdj0TExN8/fqVTRcSEgI1NTWpo3jGjRvHuW8xXV1dqTVdycnJmDVrFoYPHw43NzeJaZSVlTFw4ECsWrVK4n5TU1OoqqqyzcgdOnSASCRCfHy81JpAQkjt8vLywp07d2Bra1tnZqGXKXiJj48HgFIXLrS3twcKq7VJ7UpMTISioiKioqLw4MEDtu9EebVr1w7Tpk1D586dYWhoyHbyLQuPx0NaWhqio6MRGxuL06dPszU0ssrIyMCePXswePBg3LlzB0pKSjA3N2dXPEfhF3t4eDieP38OfX19Tr4re09inTp1wpYtW/D582fOpI3l8csvv+Dnn3+Gt7c33N3dsX79enTq1AkDBw7k9C8pz/UcHR3B4/Fw5MgRdO3aFTt27JAYmIrdvHmzQnlNSkrCtGnT0KdPH3Tq1AkJCQlQUFCAlpYW8vLykJaWBhQ2Ae7btw8uLi7ssYmJiezw/CZNmsDCwgL//PMPunfvjtu3b0NPT6/KRkURQqpeXl4eMjIyKtQkX91kCl5UVFQgFAqRkpLCdv4sLjk5GQDKNQqBVA8+nw89PT2MGzcOPB4POjo6GDhwIAYPHszuF3fSlJOT44y0KbqvcePGWLBgAbZu3QolJSX06NEDHh4eZR7Xv39/vHr1Cj///DOsra0xePBg9ld/8eMUFBQ4TT7KysqlzgFiZmYGVVVVzJkzBw0aNMDWrVshJyfHub6GhgZ+//13rF+/HhoaGnBzc4O7u3uZ91Tesu3Xrx/CwsLYpqeK4PP5aNeuHdq1a4eMjAzcuXMHJ0+elBq8SLsen8/Hli1bsGnTJpw/fx4uLi6YPXt2hfMjjZ+fH5KTk3H69GmcPn0aANCiRQts27YNPj4++PPPP9lnq127dpgxYwZ77Lhx47Bv3z5YWVkBADZu3IgNGzbgzJkzaNiwIXbt2lVmcxUhpPa0bNkSTZo0qVNrG/EYSQ3f5TR+/Hi8ePECc+bMwc8//ywxze7du7Fr1y60bt0ax48flyWvdY6Pjw9cXFxw6dIlODg4AIXDXIVCISwtLdkhwbU9z0tVSklJQX5+PpKTk7Fz5040atQIc+fOrZFrFx9CHBYWViUT41XknqZOncrO3SIUChEdHY0//vgDixcvRrNmzaSmrQqlXa8iExt+T6hcpKsLZZObm4vQ0FDOFAm1iWEYdooGSaP0vmWhoaHYtWuXxNFGqKay+fDhA9zc3PD69Ws4OztX6FiZvvFGjRqFFy9eYPfu3cjIyMCPP/4IPT09oLCq+OjRo2zVdl1pJ6sN8vLyMDExqbUZdqvS77//jqCgIGhoaKB169aYNm1ajV27uOK1NpVV2Xvy8/PD4sWL0a9fvxKBS3Wo6esRQr4fOjo6GDx4MJSVlWs7K+Ui07de//798eTJE1y6dIkNVMQTfxUdounm5ob+/fvLntt6rCIBRl34RSSNtGG8tcHU1BQnTpyQ+TwVuSdNTU22k6yzszPu3LlTrrRVoazrEUJIZWlqaqJDhw4S90VHRyM0NBSqqqp15oeTzD/Z161bB2dnZ/z9998ICgriBC2NGjXC5MmTMWzYMFkvQ0idIGn4b1WkJYSQuiogIADu7u5o1qzZtxO8AMDw4cMxfPhwJCUlITY2FjweDwYGBrSiLyGEEFIP5OTkIDIyEvLy8rC0tOTs09PTg729fZ0aFVilnSV0dXUpYCGEEELqmbi4OOzbtw86OjpYsmQJZ1/Tpk3h4OBQp5YHoFWlq4ks4+Hrcp+X2kTlIh2VjWRULtLVhbKpS/OGkPqFgpcqxuPxwDAMoqOjK30OaYvpfe+oXKSjspGMykW6ulI2dSUfpH6h4KWK8fl8KCkpSVw3pryysrJoUj8JqFyko7KRjMpFurpSNjwejyYprOOeP3+Oe/fuQSAQ1JkBOBS8VANZ/hDFQQ+fz6dfI0VQuUhHZSMZlYt0VDakInJzc5GcnMxZF662UfBCCCGEEKkcHR1LjECqbRS8EEIIIUQqTU1NaGho0GgjQgghhNQdWlpa6Nev3/exPAAhhBBC6j8tLS1069ZN4r64uDhERERAWVkZdnZ2NZ43ScodvGzevFnmiy1cuFDmcxBCCCGk5vj7++PatWto2rRp/QteDh06JPPFKHghhBBC6p7c3FzExcVBTk4OJiYmnH06Ojpo1KgRDAwMai1/xZU7ePn9998lbhdHZPLy8ujWrRusra3B4/EQHBwMDw8P5Ofn44cffoCtrW1V5psQQgghVSQ2NhY7d+6UuDxAs2bN0LRp0/rZYXfq1KkltgUGBmL37t2wtrbG/v37YWVlxdkfEhKCGTNm4N69e5gxY0bV5JgQQggh3zWZpjXcsWMHsrKysGzZshKBCwBYWVlh2bJlyMrKwo4dO2S5FCGEEEIIIOtoo1evXgEAXFxcpKYR73v58qUslyKEEEJILXj9+jU8PDxgY2MDNze32s4OIGvNi7j9KzMzU2oa8b661FZGCCGEkPLJyspCbGws0tPTazsrLJlqXiwtLREUFAR3d3dMnDhRYhp3d3c2LSGEEELql2bNmsHIyKhOLaApU06GDx8OANi0aRMOHjzIWbQpKysLBw8exKZNmwCgzqxESQghhJDy09bWrr9DpSUZN24cXr9+jTt37mDLli3Ytm0bjI2NwTAMYmJiUFBQAADo3bs3xo8fX1V5JoQQQkgV0tLSQo8ePb6P5QHk5eWxc+dOnDt3DsePH0dQUBAiIyPZ/Y0aNcLEiRMxfPhwWnadEEIIqaO0tLTQp08fifsSExMRFRUFRUVFCASCGs+bJDKvbcTj8TBy5EiMHDkSSUlJiI2NBQAYGhpCV1e3KvJICCGEkFry8eNHXL16FQ4ODt9O8FKUrq4uBSyEEEJIPSMUCpGUlAQ+nw99fX3OPg0NDVhYWNSp73daVZoQQgj5zsXExGDHjh3Q1tbG0qVLOfscHR3RokWLOjXlSZUEL4GBgTh9+jR8fHyQkJAAoVCI58+fAwCOHz+OnJwcTJgwocY7Ar19+xZ3795FcHAwCgoKYG5ujiFDhsDe3l5iel9fX1y4cAGRkZHQ0dFB7969pbYBEkIIIaR2yBy8nDp1CmvWrEF+fr7E/T4+Prh58yYsLS3Ru3dvWS9XbosWLcL/a+++45q6/v+Bv8Lee29QAorIUFFx4B5UxdU6q7XWWrWtq62rH1u1dbXaOlq1bqtVrEUt4qiDWm2rRcpQBEEZhr1lBRLI/f3xJfdHmgQJSRD0/Xw8eLSce+65JydX8s65Z5w7d04q/dixY3j77bexYsUKifTw8HB89tlnYBiGTbt48SKmTJmC9evXt0mdCSGEEPJ8Sq3zcvfuXaxfvx4cDgdLlizBlStXpPKEhoYCgMxj6vTs2TP4+fnho48+wnfffYe9e/di+vTp4HA4OHToEOLi4ti8ubm5+OKLL6CpqYmFCxfiyJEj+Pzzz2Fubo7w8HD8/vvvbVp3QgghpL2Ij4/Hzp07cf369RddFZZSPS8HDx4EwzBYuHAhFixYIDNPp06dgMZHOG1p8+bNMDMzk0gbPHgwdHR0cOTIESQmJiIgIAAAcPbsWQgEAnzwwQd4//33AQB9+/aFq6sr5syZg1OnTmHQoEFtWn9CCCGkPaiqqgKPx4OJicmLrgpLqeAlPj4eABAWFiY3j729PQCgsLBQmUsp7L+Bi1iXLl0AAFZWVmxabGws0GTFYLHg4GA4OjqyG1ASQgghr5ouXbrA3NwcWlrtZ46PUjURbwdgaWnJpnE4HIlxIwKBAACgqampzKVU5vz587C1tcXgwYPZNB6PB1NTU9ja2krl53K5iI6ORllZGczNzWWWyefzJTan1NbWhra2dqvqJ267pm1IqF2aQ20jG7WLfNQ2sr3K7dL0Nf/39VtYWMDc3BzV1dUqbRtlylIqeLGwsEBBQQGys7PRuXNnmXl4PB7QuGidotLT07FmzZoW5z9w4AAMDQ3lHv/6668RExODQ4cOwcDAgE2vqamBsbGxzHPE6TU1NXKDl1WrVknMpJo4caLSezk1t1P3q4zaRT5qG9moXeSjtpHtVWwXDQ0N9O3bF3p6es1OiVZl2/D5/Fafq1Tw0rNnT0RFReHMmTNYuXIlIKPnRTzjp3fv3gqXX11djX///bfF+RsaGmSmi0QibNy4EadPn8bu3bsRFBQkcVxLSwtCoVDmueJZVM31pGzatIl9HAUV9LxUV1fD0NCQtlRogtpFPmob2ahd5KO2ke1VbhcjIyNMnDhR5rHS0lIUFRVBR0cHbm5uKmsbfX39Vp+rVPDy1ltv4dKlSzh69CjMzMwwffp09phAIMDp06dx8uRJaGtrY/bs2QqX7+HhgRMnTrQ4v6xel7q6Onz88ce4desW9u3bh759+0rlsbS0xKNHjyAQCKCjoyNxLC8vD5qamnLH0KDxDWiux6c1OBzOK/ePpyWoXeSjtpGN2kU+ahvZqF0kJSQk4OLFi/D394e7u7vK2kaZcpQKXrp3744VK1Zg8+bN+Oabb7Bz5052J+mgoCDw+XxwOBysXbuWnXWkCENDQ/Ts2bPV9SsvL8eCBQuQlpaGgwcPIjAwUGY+Ly8vJCUl4e7duxgwYIDE+Q8ePIC7u7tUUEMIIYS8LOrr61FZWQkNDQ2YmppKHDM0NIS9vb1U+ouk1DovaOx9OXToEHr27CnxuKi2thZ+fn44cOAApk6dquxlFJadnY2pU6ciIyMDR48elRu4AMCwYcMAAF999RVKS0uBxn0eNmzYAKFQiOHDh7dZvQkhhJC2lpubiy+//BK7du2SOta7d28sW7asXS0ZolTPS2lpKRiGQXBwMIKDg1FZWYnc3FwwDANbW1u5A1zbwscff4yMjAw4Ojriiy++kDo+ZswYzJgxAwAwZMgQBAQEIC4uDkOGDEGnTp2Qm5uL0tJSWFlZteqRFyGEEELUQ6ngRTx+5NGjR0DjzBwvLy/V1ExJdXV1AICcnBzk5ORIHff392f/n8Ph4Pvvv8eaNWsQHR2NBw8eAAC6du2KLVu2vNAgjBBCCCGSlApeDAwMUFNTA6FQ2OrZNeqycePGZqd72dnZSfxuYWGBPXv2oLi4GLm5uTA3N4ezs3Mb1JQQQghpvy5fvoyMjAz07NlTqXGoqqRU8NK5c2ckJibi6dOnrRqQq07e3t6tOs/Kykpi9V1CCCHkVZabm4snT56ga9euL7oqLKUG7E6ZMgUAcPz4cVXVhxBCCCHtyMiRIzFt2jS4uLi86KqwlOp5GTt2LO7fv4+TJ0+itraWfXHyFp7R1dVV5nKEEEIIaWOOjo5wcHBodihGW1N6nRexiIgIRERENJtfPLCXEEIIIe2HkZER+vbtK7F1Tnum9IBdQgghhHRsFhYWmDRpklR6TU0N0tLSYG9vr9Ry/qqmVPASFxenupoQQgghpF3JzMzEjz/+CFtbW7z33nsvujospYIXQgghhHR8DQ0NqK2tBYfDkXiqwuFw4OzsDHt7+xdav/9SKnjJysoCALi6uqokHyGEEELaXk5ODnbu3Alzc3OsWbOGTe/SpQu6dOkChmFengG7I0aMAFowELel+QghhBDS9sSr0re3BWflocdGKmBnZ6ey+e8NDQ1ISUmBk5MTNDU1VVLmy4DaRT5qG9moXeSjtpHtVW6XjIwMAICtrS37eVZfXw8NDQ1oaGiopW1KSkpafa7ag5fKykrgJV/jRVdXF3p6eiopq6GhAQCgp6f3yv3jaQ61i3zUNrJRu8hHbSPbq9wuPB4PaFzTRfx5dunSJRw/fhyvvfYauyitKttGmbhA4eCltLS0RWkAUF1djTNnzgAA7RNECCGEtFMJCQnAf9ZvS0xMRGVlJXR0dF5gzWRTOHgR7yT9vLT/CgsLU/RShBBCCFGz9PR0ZGVlQVNTUyJ4+eijjxAaGgoHB4cXWj9ZFA5emm5aWFxcLJUmxuFwoKOjA3t7e4wePRrTp09Xtq6EEEIIUbGrV68CAIKDg2FiYsKma2pqwtfXF2jySK29UDh4+fPPP9n/9/LykkojhBBCSMcxY8YMaGpqIjg4GADAMAzQ2AnRXik1YHfr1q2qqwkhhBBC2pyRkRHeeecd9vf4+HgcOHAAEyZMwLBhw15o3eRRKnihcSyEEEJIx5SRkQFXV1doaGhIpF++fBk8Hg/p6ekvrG7Po7Kp0gKBAGVlZRAKhXLzODk5qepyhBBCCGmlrKwsfPzxx+jSpQtWrVolsSXA0qVLweVyERIS8kLr2Bylg5d//vkHu3btQlxcXLOBC2iFXUIIIeSFKykpwfr16yEQCKChoSG1Tpmenp7MHabbE6WCl7t37+Ltt99GfX090LiltpGRkarqRgghhBAVqq6uxoYNG1BUVAQHBwcsX76cfWyUn58PW1vbdj1QV0yp4GX37t2or69HQEAAvvrqK1qIjhBCCGmnKisr8dlnnyE9PR2mpqb47LPP2KnRRUVFWLx4MXx9fbFs2TKJx0jtkUYL8sj14MEDAMBnn31GgQshhBDSTpWVlWHNmjV4/PgxTExMsG7dOtjb27PH09PTIRQKUVFRobLtbtRJJQN23d3dVVEMIYQQQtSgsrIShYWFMDc3x4YNG6Q2E+7duze2bNkCPT09qdlH7ZFSwQuXy0V8fDxyc3Ph4eGhuloRQgghRGVcXFywatUqWFtby13u39PTs83r1VpKhVezZs0CAISHh6uqPoQQQghRklAoxMGDBxEXF8em+fn5SQQuubm5+N///oeSkpIXVMvWUyp4GTZsGN566y0cO3YMmzdvxuPHj8Hn81FXVyfzhxBCCCHqlZeXh5UrV+L8+fPYvn07+Hy+VB6GYbBz504kJCRg3759L6SeylDqsVHT3ScPHz6Mw4cPN5uf1nkhhBBC1EMkEuHixYs4evQo6urqYGRkhPfffx/6+vpSeTkcDpYsWYJ9+/ZhwYIFL6S+ylAqeGnvU6kIIYSQV0Fubi52797NzgL29fXF4sWLYWNjI/ccOzs7fPbZZ21YS9VRKnhp+iyNEEIIIW2vqKgIH3zwAYRCIfT09PDWW29h1KhRUrOGqqqqsGXLFrz55pvgcrkvrL6qoLK9jQghhBDS9qytrREcHIyKigosWLAAdnZ2MvOdPn0aCQkJKCwsxPfffw9NTc02r6uqUPBCCCGEdCBPnjzBTz/9hPfeew/W1tYAgA8++ADa2trNLu0/bdo08Hg8zJ49u0MHLlBl8FJaWorExEQUFxdDKBRi2rRpqiqaEEIIeeXl5ubixIkTuHXrFgBAX18fH330EQBAR0dH7jni6dH6+voddozLfykdvDx79gxffvklLly4gIaGBjZdHLxMmjQJ6enpiIiIoJV4CSGEEAWVlJTg1KlTuHr1KkQiETgcDgYOHIgZM2Y0e96JEyfw888/Y+nSpQgJCWmz+rYFpdZ5qaqqwsyZM3H+/HmYmJhg9OjRUnmGDBmCmpoaXLp0SZlLEUIIIa+cEydOYP78+bhy5QpEIhF69uyJb7/9FsuXL5c7tkVMJBJBJBLh8ePHbVbftqJUz8uhQ4eQmpoKHx8fHDhwABYWFlJBSv/+/bFz50788ccfWLhwobL1JYQQQl4ZGhoaEAgE6Nq1K2bNmoWuXbs2m7++vh5aWv/30T59+nT4+PggMDCwjWrbdpQKXsSByieffAILCwuZecS7VqanpytzKUIIIeSllp6ejl9++QVDhgxBjx49AABjxoxB165d0b1792YH41ZXV+PQoUMoKyvD//73P3A4HGhqar6UgQuUDV6ys7MBAN26dZObx8zMDGhsWEIIIYT8fw0NDYiJiUFkZCTu378PACguLmaDF2NjY/j5+T23nJKSEkRHR6O+vh5paWkdfh2X51EqeNHS0oJAIGCXIUbjksMMw7B5CgsLAYA9TgghhLzqqqurce3aNURFRSE/Px9ofETUr18/TJ48uUVlCIVCaGtrA427Rr/33ntwcHB46QMXKBu8uLu7IykpCXFxcRg2bBggI3j5999/AQDe3t7K1pUQQgh5KWzcuJHtaTEyMsLIkSMRGhrKrtvSHJFIhKioKJw5cwZbtmxhB+6OGDFC7fVuL5SabTRq1CgAwI4dO1BWViZ1vLKyEvv37wcAhIaGKnMpQgghpEOqq6tDdHQ0Kioq2LRhw4bB2dkZCxcuxOHDhzF79uwWBS5o7CS4c+cOysrKcPHiRTXWvP1Squdl5syZOHfuHFJTUzF+/HiMGTOGPfbDDz8gIiICGRkZ8PHxwYQJE1RRX6VUVFSgvr4eBgYG0NPTk5uvuroaBgYGzQ6OIoQQQprz9OlTXLlyBdHR0aiqqsLcuXMRFhYGABg4cCAGDRrU4s+Z7OxsWFtbQ1dXFxwOB/Pnz8fDhw8xfPhwNb+K9knpXaUPHz6MxYsXIy4uDgcOHGCPbdu2DQAQEBCAXbt2yV39r62kpKRg8uTJEAqF+OSTTzB37lyJ4wKBADt37sTPP/+M8vJy6OnpYfjw4Vi1ahUsLS1fWL0JIYR0HNXV1bh9+zauX7+OlJQUNt3Gxgb6+vrs74osz3/8+HGcOXMGs2fPZjsCXFxc4OLiouLadxxKr7Bra2uLU6dO4fbt27h58yays7PBMAzs7OwQEhKiUGSpLvX19Vi9ejXs7OzA4/Fk5lmxYgXb/WZgYAA+n4/IyEg8evQIZ86cga6ubhvXmhBCSEciEAjwzjvvsLNrNTQ0EBQUhJEjR8Lf37/V+wnZ2dlBJBLJ/fx6Falsb6P+/fujf//+qipOpQ4cOIBnz57hww8/xCeffCJ1/N69e7h48SLs7Ozw/fffw8fHBwUFBVi+fDliYmJw8uRJvPXWWy+k7oQQQtqnjIwMJCYmso+CdHR04OfnBx6PhyFDhmDQoEEK99yXlJTg3Llz8Pf3Z6dLDx48GK6urvD09FTL6+iIXvpdpZ88eYI9e/awAYws4h6XFStWwMfHB2jsUdq6dSuGDh2KCxcuUPBCCCEEubm5uHXrFm7fvo2srCwAQI8ePeDk5AQAWLx4MfT09Fr9xCEyMhLnz59HcnIyAgMD2cXmKHCRpFTwwuPxsHz5cjg7O7NjXP5r+fLl4PF42LZtG5ydnZW5nMJEIhFWr16NadOmoVevXrh27ZrMfElJSeBwOBg0aJBEuoODA7y9vZGSkiKx5DIhhJBXR0lJCX7//XfcunVLYrV4LS0t9OrVCyKRiE1rOq6lJTIyMqCvr89Odw4LC8OTJ0/axSSX9kypT+OjR48iISFBYpbRf/n5+eHChQs4fvw4Vq1apVD59fX1ElPLnsfc3Fwi2j1y5AgqKyuxdOnSZs8rLCyElZUVDAwMpI45Ozvj4cOHKC8vh5WVlczzKysrJXp1dHR0Wj1AWbwzd9Mdugm1S3OobWSjdpGP2ka2pu3CMAz7eZKcnIyjR48CjeNY/Pz80K9fP/Tu3ZtdgLU1bRkeHo5Tp05h2LBhWLRoEQDAxMQEn3/+OdD4Bby9UMc9o0xZSgUvf/31FwCgX79+cvMEBwdL5FVEcnJyi1caBICYmBiYmJgAALKysvDdd9/hyJEjzx1sW1dXJzdaFp9bW1sr9/xZs2ZJTL2eOHGiQvWWRbx4EZFE7SIftY1s1C7yUdtIKisrw6NHj3Do0CF4eHiwvfFaWlrw9PSEl5cXunTpwn7RVXS35rq6OnA4HPbLrXhJjqKiIsTFxb3wyS0tocp7JjU1tdXnKhW85OTkAI29E/KIj4n3QVKEtrY2uzdSS2ho/N+aewzDYM2aNZgwYQIcHR1RWloKAKiqqgIA8Pl8lJaWwsjICDo6OtDT00NNTY3MMsXpsnplxI4dOwZ/f3/2d2V7Xu7fvw9fX99Wj0x/GVG7yEdtIxu1i3zUNv+HYRhkZGTg7t27+Oeff5CZmSlxbMmSJezvvXr1UupakZGROHnyJF5//XX2kZC4B0fexsbtiTruGWV6lpTe2wiNQYG8xhcHDK2JKL29vXH37l2Fz0tISEBMTAxiYmLw448/Sh3ftWsXdu3ahR07dmDUqFFwcHBATEwMysvLpYIl8fPI5oIoY2NjmJqaKlzP5mhqar7Sf1TkoXaRj9pGNmoX+V7ltmEYBsuWLcOTJ0/YNA0NDbi4uGDo0KHo37+/Um3D5/Ohra3Nfk4aGRmBz+cjMTFRome+pavqtheqvGeUKUep4KVTp05ISEjA7du3MW7cOJl5bt26BQDw8PBQ5lIK4XA4MoMNoVCI6upq6OvrQ1dXl+0d6d69O2JiYhAVFYUZM2aw+VNSUvDkyRMEBQWxvTqEEEI6Fj6fj/j4eNy/fx/z5s0Dh8MBh8OBq6sreDweAgMD0adPHwQEBCA9PV2pNVnQuKhcZGQkFi9ezA6d6N+/P6ysrNC9e3cVvrJXl1LBy8iRI5GQkIBt27ahR48ecHR0lDjO4/Gwfft2Nm9b8fPzk9ljc+3aNSxatAgffPCBxAq7YWFhOHToELZt2wYTExMEBQUhMzMTa9euBQAa9U0IIR0IwzDIzc3FvXv3EBsbiwcPHqC+vh4AMGTIEHTu3BkAMHv2bCxYsIAd29jaAaRlZWUwNzdnfxeJRODz+YiJiWGDFz09PYnhBUQ5SgUv06ZNw88//4yMjAyMGzcOEyZMQJcuXQAADx8+xLlz51BVVQUPDw+JHo32xsvLC3PmzMGhQ4fw0UcfSRzr27cvuwARIYSQ9u3OnTs4dOgQ8vPzJdJtbW3Rp08fGBoasmlNA47WYBgGX3zxBe7du4dvv/0W7u7uQONGxP7+/ujWrZtS5RP5lN7b6ODBg/jggw+QlJQkc3yJr68vdu3a1eyA17YiHgAsa1PGFStWoHPnzvj555+Rk5MDc3NzjBgxAvPmzXtlnwkTQkh7VlBQgNjYWHC5XLY3RV9fH/n5+dDS0oKPjw969uzJPhlQdjZPfX09MjMz2WtxOBxoa2uDYRg8ePCADV6srKzkLq1BVEPpVdccHR1x5swZREdH4/bt28jLywMaF3gbMGBAu9jbSCwkJKTZAcCTJk3CpEmT2rROhBBCWobP5+PBgweIj49HfHw8u9fP2LFj2YCia9euWL16Nbp3767SL83l5eVYtGgR+Hw+jh07xq7vMnPmTLz11lvsInOkbahkyVgNDQ0MHToUQ4cOVUVxhBBCCKu6uhobNmzAo0ePJMalaGhooEuXLnB1dWXTtLW10adPH6Wu19DQgMTERFRXV7N79pmZmcHCwgLl5eXIzs6Gt7c3ALDbApC2RevdE0IIaRcYhkFeXh7i4+NRV1fHTpYwMDBAYWEhGhoaYGdnB39/f/j5+cHPz4/tAVGl2NhYbNq0CVZWVggODmZnm65duxYWFhY0lKAdoOCFEELIC1NeXi7xKKiwsBBoXBdl3Lhx0NTUBIfDwdKlS2Ftba3yxzP//vsvrly5gp49e2LIkCEAAH9/f9jZ2cHPzw+1tbXs46eOtibLy6zFwcuqVauwYMECuLi4KHXBp0+fYs+ePdi0aZNS5RBCCOnYvvnmG0RHR0ukaWlpwdvbG/7+/qivr2d7OXx9fVVyzfz8fFhZWbGLx2VmZuLvv/8Gn89ngxcdHR3s27ev3YzXJNJaHLxERkbi119/RWhoKCZOnIjevXu3eOE2kUiEO3fuICIiApcuXQKHw6HghRBCXgEVFRV48OAB7t+/jwcPHmDTpk3sox5xT4arqyv8/Pzg7+8PHx8fhXdmbqn//e9/SEhIwIYNG+Dn5wc07r/H5/OlxslQ4NK+tTh4iYqKwtdff41ff/0Vv/76K2xsbNC/f3/4+vqia9eusLS0hKmpKRiGQUVFBUpKSpCUlIT79+/j9u3bKCoqAhoXq1u+fLk6XxMhhJAXpKqqCvfv32d/srKyJI4/fPgQQUFBAIAxY8Zg3Lhx7Ia6qlJdXY0//vgDOTk5eOedd9h0KysraGhogMfjscGLnZ0duw4Z7bLdcbQ4eHF1dcWuXbuQkJCA48eP48qVK4iIiEBERMRzz9XV1UVYWBhmzpxJSyMTQshLpKioCLq6umwAcvv2bXz//fcSeVxdXdGtWzf2y66YIhvvNkcgEKCmpoYtTygUYs+ePUDjEhjixeimT5+OuXPnqmWQL2lbCg/YFY/wXrNmDaKjoxETE4P4+HgUFBSwmzAaGRmxI8J79eqFwYMHq3zjQkIIIW1LJBIhOzsbSUlJePjwIR4+fIiioiK8++67GDNmDNA4NsXZ2Rm+vr7w9fWFj4+PyoIUWa5evYp9+/YhODgYy5YtAxqDohEjRsDGxkZieAMNuH15tHq2kZmZGSZMmCCx749AIAAaBzsRQgh5ORQVFWHfvn1ITk5GZWWlxDENDQ2UlJSwvzs6OuK7775TSz1u3LiBf/75B1OmTGFXs7Wzs4NAIJB6PPX++++rpQ6kfVDpVGkKWgghpOOqqKhAamoqUlJSYGlpidGjRwONven37t2DSCSCrq4uvLy80LVrV3Tt2hVeXl5qGWBbXFyMrKws9OjRg037888/ERMTAy6XywYv3t7e+O6772ixuFcMrfNCCCGvIIZhkJmZibS0NKSkpODRo0fIyclhj3O5XDZ40dfXx4cffggnJyd4eHiw04xVSSgUQltbGwBQWFiId955B1paWjh58iS76/PQoUPh6ekpEdBoa2vD2dlZ5fUh7RsFL4QQ8gqorKxEfn4+PD092bQNGzagtLRUIp+joyO8vb2ldkQWr4GiatHR0Th+/DiCgoIwf/58oHFsio2NDUxMTFBaWgp7e3ugcVpzcHCwWupBOhYKXggh5CXT0NAAHo/H9qikpKQgJycHJiYm+PHHH4HGdUz8/f1RUlICLy8veHt7g8vlqnzaclOXL1/G/fv38eabb7Ir5erq6qKoqAgPHz5k83E4HOzZs4ftiSHkvyh4IYSQDoxhGIkF1Q4cOICrV6+Cz+dL5TU2NkZlZSUMDQ0BAB988IFa9umpra1FUlISysvLJTbs/f333/Hw4UN2+X0A6N69O9atW8dudChGgQtpDgUvhBDSgVRUVCAtLQ2pqalIS0vD48eP8f3337Nrl2hqaoLP50NfXx+enp7w9vaGl5cXvLy82F4VVS7GxjAMcnNzoaurCysrKwBATk4O1q1bB0NDQwwePJidrjxs2DAEBATAy8uLPd/IyAgBAQEqqw95NVDwQggh7VxcXByuXbuG1NRUFBQUSB1//Pgx/P39AQCjR4/G0KFD4ejoqLZeFT09Pfb3PXv24PLly5gyZQq7Uq2bmxvc3d3h7u4usbHhsGHDVF4f8mqi4IUQQtqB+vp6ZGVlIS0tDWlpaQgLC2M3wi0oKMCtW7fYvI6OjvD09ASXy0Xnzp3h4eHBHlP1rstiQqEQy5YtA4/Hw9GjR9mFRz08PKCtrY2amho2r6amJnbs2KGWehACCl4IIeTFKCkpwb179/DkyROkp6cjMzOTXegTADw9PdngpXv37njzzTfh6emJzp07q315+7i4OJw4cQLOzs5YvHgx0DgGpaGhASKRCOnp6eyjnsGDB2Po0KE0RoW0KQpeCCFEjerq6pCVlYXHjx+jc+fO4HK5AIDs7GyplWgNDQ3ZPE2nNDs4OOD1119XS/0iIiIQFxeHWbNmSVwzNTUVFRUVEnmXL18OCwsLdq8gNM4WIqStUfBCCCEqIhQK8fjxYzx58gRPnjzB48ePwePxIBKJAAATJkxgg5dOnTrBz88PnTp1Yn/s7Owk9uJRpZKSEly6dAl8Ph9vv/02m/7gwQMkJCQgJSWFDV68vLywfPlyiWBGXGdC2gMKXgghpBVqamqQnp4ObW1tdvZMeXk5VqxYIZXX1NQUnTp1klgJ1sjICBs2bFBL3eLj4/Hvv/8iICCAfbwjFApx+vRpaGlp4c0332Tzjho1CkFBQeyAXwAwMDBASEiIWupGiCpQ8EIIIc1gGAbFxcXIyMhgfzIzM5GbmwsA6NOnD1avXg0AsLKygqurK2xsbCR6VCwtLSXWYlEVgUCA33//HU+fPsXcuXPZa8TExCAyMhINDQ1s8GJra4vQ0FA4OzuzPUEAEBQUpPJ6EaJuFLwQQkgjoVAIHo8HPp8PHx8fAIBIJMKCBQskBtOKWVtbw8zMjP2dw+Fg165daqlbdnY24uPjYWlpib59+wKNOzrv3bsX9fX1GDNmDDvTKDAwUCJwEdftvffeA1S8zgshLwIFL4SQV1JFRYVEb0pGRgays7NRX18PV1dXNgjR1NSEh4cH+Hw+u3aJu7s7PDw81LaU/h9//IGMjAyMHz+enZKcmJiIH374AT179mSDFy0tLQwbNgx6enoSa7r06NFDYvNCQl42SgUv9+/fh6+vr+pqQwghKiYSiZCfn4+ioiKJcR2rVq0Cj8eTym9oaAgzMzOIRCJ28OzmzZvVMpA2Pz8ff/31F3R0dDBmzBg2/eTJk8jJyUH37t3Z3hNPT08EBQVJbZi4cOFCldeLkPZOqeBl8uTJ8PHxwRtvvIExY8aofe0BQghpTkVFBbKyspCVlYWMjAwkJyejuLgYtbW10NXVxalTp9geCg8PDwiFQqneFCsrK6nxKaoIXG7fvo3k5GQMGzYM7u7uAIC8vDwcOXIEjo6OEsHLgAED8OzZM7bXBY3By6effqp0PQh5GSgVvDg6OiIpKQmfffYZtmzZgjFjxmDKlClS3wwIIUSV6urqwOPxwOPxMGjQIDbY2L17N+7cuSOVX0dHBy4uLqiqqmIDgiVLlqhl+fzi4mJERkairq6OHWMCADdu3MC9e/fg6OjIBi9ubm7o378/PDw8JDZYnD59usrrRcjLRKng5dq1a7h16xbCw8Nx8+ZNnD59GqdPn4aPjw+mTJmCMWPGsLuXEkJIaxQVFSEtLQ2ZmZnIysrC06dPkZeXx86Y8fX1ZTcEdHNzQ0ZGBlxdXeHi4gKGYRASEgJnZ2epQEUVgctvv/2GO3fuYOjQoejXrx/QuMz/2bNnoa2tjXnz5rHXCQ4OhqOjo8RS/ubm5vjkk0+UrgchrxqlghcNDQ2EhIQgJCQEBQUF+OWXX3DmzBkkJSVh7dq12Lx5M8aOHYs33niDemMIIXIxDIOysjJkZWUhMzMTw4cPZx9DR0ZG4ty5c1LnmJiYwNXVFXw+n02bNm0a22vR0NCA+Ph4mYFLS+sk7gmpqKjAN998g8LCQuzevZtNz8rKYntTxMGLjY0Nxo4dC0dHRzQ0NLDXpk0JCVEdlc02srW1xcKFC/Hee+/h1q1bOH36NH7//XeEh4cjPDycemMIIazc3FzEx8eDx+Ph6dOnyMzMRGVlJXu8c+fO7GSAzp07o3PnznB1dYWbmxtcXFzg5uYGMzMzqbEpiq6lIg6azM3N2XMvXLiAiIgIDB48mF3MzcDAAAkJCaivr0dRURFsbGwAAP3794eTkxO6dOnClqmhoYF58+Yp0TqEkOdR+VTppr0xN27cwCeffILKykqJ3phx48Zh/vz5cHBwUPXlCSHtxLNnz9jg5OnTpxg9ejRcXV2Bxmm/e/fulcivoaEBe3t7uLq6SuyXM3DgQAwcOFCpugiFQuTl5QEAu9lhQ0MDZs2ahcrKShw5cgQWFhZs/uLiYmRlZbG/a2lpYenSpbC0tJRY16VLly4SgQshpG2oPHiprq7GhQsXEB4ejqSkJACAsbExxo4di/z8fNy8eROnTp3Cr7/+iv3796Nnz56qrgIh5AXIyMjAlStX2IDl2bNnEsc9PDzY4KVTp07o2bMnXFxc4OzsDDc3Nzg5Oalkk7+kpCTweDwEBwezaRcvXsTBgwcRHByMlStXAo1jXgwNDVFdXY2CggI2eOnTpw88PDzYIEdswIABSteNEKIaKgteHjx4gNOnTyMyMhI1NTUAgK5du2LatGkYM2YMDAwMgMbu4rVr1+LWrVvYunUrTp8+raoqEELUqLy8nA1MxP8dM2YMGyRUVFTg4sWLEufY2tqyAYp4hg0ap/2uXbtWqfrk5OTg77//hqGhIUaPHs2mi8emODo6smmOjo4wMDCAtra2RBlffvklzMzMJNKtrKzYAcCEkPZJqeCluroaUVFROHXqFNvLoquriwkTJmDatGnw8/OTOsfBwQEbN27EgAEDkJKSoszlCSEqxjAM6uvr2Q/zp0+fYs+ePeDxeKioqJDK7+XlxQYvbm5umDRpEpydneHi4gInJyfo6em1qh5NF4gDgOPHjyMlJQVz5sxhdzbOzs7GsWPH4OHhIRG8+Pr6oqysTGKQbmBgIE6ePCk1Jsba2rpV9SOEvFhKBS8DBgxAdXU10PiHa8qUKZg4caLEM2FZxIPd6urqlLk8IaSVxGNAsrOzJX5ycnIQFhbGztjR09Njv5hwOBzY2tqywYmLiwu7mzIad06ePXu2QnUoKCiAmZkZO7Po4cOH2L59O8zMzPD111+zeVNSUpCYmIisrCw2eHFzc0NISIjE1GMAWLx4MdBkthFUtMgcIaT9UCp4qaurw/DhwzFt2jQEBwcrNNI/PDxcmUsTQlqguroa2dnZ0NHRYR/bFBQUYP78+RI7CzeVnZ3N/r+VlRWWLl3K9qS0ZkxKTU0NHj58iJqaGomBt59//jnu37+PpUuXYvDgwUDj0vyFhYWorq6WmKo8duxYDB48WGLJBVtbWyxfvlzh+hBCOj6lgpcbN27A1ta2Vec23WOEEKKchoYGJCQkIDc3V6InpbS0FAAQEhLCftBbWVlBQ0MDurq6cHJygpOTExwdHeHs7AwnJyd2Z2I09liIA4uWuH37Nh48eIDg4GB0794daAyW1q9fD2NjY4ngxd7eHmlpaewYOTQ+Vt60aZPUTMTevXsr0TqEkJeNUsFLawMXQoji6urqkJeXxwYoZmZmGDFiBHt8/fr1MntTLCws2AHzaJxlc/DgQZnrpMgiEolQVlYGbW1tdhfloqIibN26FTU1Nfjuu+/YvLGxsbh+/TrMzMzY4EU8/dnBwQFCoZAdTzNv3jwsWrRIog7a2trw8fFpdRsRQl4NKp8qTQhRDYZhcODAAXYsSlFRERiGYY97eXmxwYumpib8/Pygo6PD9qY4OzvD0dFR5qKQ5ubmUmkCgQAJCQkoKSnBqFGj2PTvvvsOV69excyZM/HGG28AjY93Hj16BDQ+FhIHR71794aFhYXE4x09PT3s2rVL6nqqmBZNCHk1UfBCyAtQUVGB3Nxc5OTksD+5ubkwMzPDhg0bgMYBsnfv3kVhYSF7nqGhIRwdHeHg4IDOnTtLlLl27Vq5y+D/d/bO3bt3cefOHfj7+yMkJARoHEArvnZISAj09fWBxhk5Ghoa7OB8NK44u3r1alhbW0sEIX369EGfPn1U1EqEECLbKxG81NbW4t9//0VxcTFcXFzQvXt3mbMPRCIR/v33X+Tk5MDc3BxBQUGtnupJiEAgQF5eHiorKyV6IhYvXoyMjAyZ55SXl0v8/sYbb4DD4cDR0RGOjo4wMTGR+6insrIS+fn5MDAwYBdYq6urw+LFi1FUVITjx4+zAUl6ejquX78OTU1NNngxNDSEj48PjI2NUVtby+YdP348Jk+eDC0tyT8XFKQQQl6Ulz54OXHiBLZv346qqio2zdPTE9u3bweXy2XTMjMzsWjRIjx+/JhNMzc3x7Zt29gN1wiRJykpCRkZGRK9KeLHPBYWFjhy5AibVzxuxMrKiu1FcXBwgJOTk9RA1aZjWsQaGhpw/vx5FBQUYM6cOewYkosXL+LUqVMYMWIE3n//faDx0UxFRQWEQiGKiorYoMbf3x8cDkdqaftNmzZJXY8CeEJIe/NSBy+HDx/G5s2bgcbVfjt37ozCwkLExMQgOTmZDV6EQiHmz5+PzMxMuLi4wN/fH1lZWUhISMD777+PqKgo2ofpFcYwDEpLS9nBsnl5eaiqqsKiRYvYPCdOnMCDBw+kzjUwMICVlZXEQNUlS5bA0NBQKiiorKxEYWGhRN6bN2/i559/hp+fH7vZn6amJn7++WdUV1fjtddeY1eStbW1hZWVlVS569atg4mJicSqsbQnDyGkI3tpg5e8vDxs27YNHA4HGzduxMSJE9ljT548gVAoZH+PiopCZmYmgoODsW/fPujo6AAAtm/fjn379uHQoUP49NNPX8jrIG2DYRiUl5dLDGQ9ceIE7t69i7y8PJkLKr7zzjvseA9fX18YGhrCwcGBfcTj4OAgc0ZPZWUlbty4ASsrK4lpyO+++y6qq6uxe/dutoekvr4eT58+ldg0EABGjRoFTU1N9tEOAAwaNAhDhw6Vqqenp6dSbUMIIe3NSxu8nD17FkKhEOPHj5cIXNC4KVxTN2/eBBrHIogDFwBYuHAhfvzxR0RHR1Pw8pIoKytDdna2RC+K+EcgEODnn39m74GSkhJkZmYCjeud2NjYwN7eHvb29nBwcEBDQwNb7sSJE1FQUACGYdjNB9E4fTkrKwuff/45nJ2dgcbg+ccff0RAQIBE8GJjY4Py8nKJR5z+/v5Yt24d7O3tJV5H05Vsm9aDEEJeBS9t8BIbGws0DjasqqrCX3/9BaFQCG9vb6ng5fHjx9DR0WHXpRDT09NDt27dEBMTAz6fL/Etl7RPIpEIpaWlbGCSm5uLmTNnso9hjhw5gujoaJnnamhooLi4mH1EOHr0aAQHB8PBwQHW1tZsGVFRUcjOzkZVVRU7Rfj27dvYsWMHAgICsG7dOrbM4uJiFBUVobCwkA1e3NzcMGTIEKnZQtu2bZMaFGtpaQlLS0uVthEhhHR07Tp4KS0txfXr11ucPywsjP3W3HR66bBhw1BWVsb+PnjwYHz99dfsfirl5eWwtLSUOQPJxsYGDMOgoqJCbvBSWVmJZ8+esb/r6OhI9OAoQvwtmr5NS2raLiKRCBwOh30cc+vWLfz555/Izc1FQUEBBAKBxLlDhw5lx4WIV5AV96CIf9D4iEZfX5+9Vnl5OX744Qc4OztjzZo1bPqVK1eQmZmJwMBANrCwsLCAkZERdHR0JN67efPmQVNTEy4uLmy6m5sbPvjgA4nXhcap0a153+mekY3aRT5qG9moXeRTR9soU1a7Dl5ycnIUelwzcuRINmior6+Hjo4OVq1aBWNjYwQHB6OmpgZ3795FdHQ0/ve//+Gbb74BGsc7yNu4TfwB2Vwjz5o1S2KQ5MSJEzF58uQW11uW+/fvK3V+R1dfX4/y8nKUlpairKyM/fn+++9RVlaGBQsWsONAYmNjcffuXfZcDQ0NmJmZwdzcHKampkhOTkZRURHQOIDW1tYW+vr66NWrF3vO3r17UVBQgBkzZrA9IllZWSgoKJDY4A+NY0icnJxQUlLCpjMMwy6/3zSvmHhBN3V61e8Zeahd5KO2kY3aRT5Vtk1qamqrz23XwYuFhYVCQUDT3g5jY2MIBAL06NEDX331FRucFBQUYNKkSbh8+TI7C0O8GZws4nU3jI2N5V732LFjEns1Kdvzcv/+ffj6+spdcOxlIV6XpKCgAPn5+Rg6dCg7YPbUqVPNbt5pZmbGtrlIJIJIJIK5uTlGjRoFa2traGlpYcWKFfj3338RGhrK5k1MTERCQgIcHR0l3jMvLy8YGBigU6dObDqXy4WXlxdsbGwkZuq0t325XqV7RhHULvJR28hG7SKfOtpG3uawLdGugxdHR0d8+eWXrTrX3d0dCQkJGDdunESviq2tLYKDg3H+/Hnk5eXBxMQE7u7uyMzMREZGBrvzLhq/TScnJ8PS0rLZ4MXY2Bimpqatqqc8mpqaHf4fj7i3Svw64uPjceXKFeTn5yM/P19ixVY0BgviIMHa2ho6OjqwtLSEq6srbG1tIRQKUVhYiOzsbIn20dHRwa1bt+Dk5IR33nmHLU+8nkpFRQWb183NDTNnzoS9vb1E+3700UdS9Tc2Noavr6/qG0ZNXoZ7Rh2oXeSjtpGN2kU+VbaNMuW06+BFGcHBwTh37hzi4uLYFUTRuOppUlIS0Nizg8aVQqOjo3H48GGsX7+ezXv+/HkUFxdjzJgxL+AVdAzizQLFAUl+fj7y8vJQUFCAwsJCrF27lu2pKCkpwZ9//ilxvoWFBXR0dMAwDEpKSth0GxsbCAQCaGhoYPXq1eyjm6ioKOTn50v0lNnZ2aFnz57suBaxxYsXQ09PT2L5enNzc3Z/HkIIIR3TSxu8jBo1Cjt27MC+ffvw9OlT+Pn5oba2FhcvXsTjx48RFBQEa2troHGg7+7duxEeHo5nz54hKCgImZmZOHnyJADgzTfffMGv5sURr3/SNDjp168fuw7JrVu3sHPnTrnnJyUlscGLeLaOhYUF1q9fD1tbW+jq6mLDhg2IiYlBfX09e561tTUMDQ3ZQdVikyZNQlhYmMR0ZFtbW6xdu1bq2qruDSOEENI+vLTBi66uLnbs2IF3330XUVFRiIqKYo+5u7tjy5Yt7O/ibQCWLFmCy5cv4/Lly0DjwM+PP/643Y1xULXq6mpoaGiws6lSUlJw+vRpFBQUyJy9I549g8ZnlhwOB9ra2ggKCoKdnR3s7Oxw7do1pKSkSCz6Jp6iLhAI2PPROPvLx8cHXl5ebJqjoyMbPDbl7e1N3bmEEPKKe2mDFzSuenrp0iVERUUhPT0dWlpa8PX1xYgRI6QG1IaEhODixYu4cOECcnNzYW5ujuHDh780S6hXVVXh0aNHbEAi/snLy0NNTQ3mzJmDCRMmAI2rE9+7d489l8PhwMrKCrW1taisrERFRQV7zMfHh52t9fHHH7OzswQCAZycnCQe5djZ2eHYsWPsWBSx/v37t0ELEEIIeVm81MELGmelzJgxo0V57e3t2f1jOpKGhgaUlJSwM3fy8vKQnZ2NAQMGYMCAAUDjdOJt27bJLePBgwds8CIOOLS1tbFz507Y2NhAW1sbx48fR2JiosSGljY2Nti4caPU8vWyxglpamrCzMxMZa+bEELIq+mlD15eBuJxJzk5OTA1NWVXao2Li8PWrVtRU1MDhmGkzhMIBGzwIl5MTUNDA6GhobCzs4OtrS1u376NxMRE9OjRgz3Pzc0NCxcuhKWlJezt7dnZWjNnzpS6hra2Nrp166a2104IIYT8FwUv7UxOTg7Cw8MRHh4OIyMjdtaOeGPAwMBAfP755wAALS0tdrqxpqYmbG1tYWtri+LiYmRnZ8PW1pYt19PTE9OnT4eFhQWGDh3Kjhvp3bu3VB10dHQwatSoNnrFhBBCiGIoeGlnSktLkZKSIvd408GznTp1Qu/evWFvb4+ZM2ey43jq6uqgra0tsb6Nrq4upk6dqubaE0IIIepHwUs706lTJxgbG8Pa2hrDhw+Hg4MDbG1t2VV7my6WZ2BggDVr1kiV0XRdE0IIIeRlQ8FLO2NgYIBly5bB39+fpgQTQgghMsjejZAQQgghpJ2i4IUQQgghHQoFL4QQQgjpUCh4IYQQQkiHQsELIYQQQjoUCl4IIYQQ0qFQ8EIIIYSQDoWCF0IIIYR0KBS8EEIIIaRDoeCFEEIIIR0KBS/tjEAgwJkzZyQ2YCTULs2htpGN2kU+ahvZqF3ka29tQ8FLOyMQCBAREdFubpD2gtpFPmob2ahd5KO2kY3aRb721jYUvBBCCCGkQ6HghRBCCCEditaLrkBHxufzAQDJyckqK7OyshK1tbWIj4+HsbGxysrt6Khd5KO2kY3aRT5qG9moXeRTR9uIPzvFn6WK4DAMw6ikFq+gEydOYObMmS+6GoQQQkiHdfz4ccyYMUOhcyh4UUJxcTGuXLkCNzc36Ovrv+jqEEIIIR0Gn89HZmYmRo4cCSsrK4XOpeCFEEIIIR0KDdglhBBCSIdCwQshhBBCOhSabaSkkpIS5ObmwtzcHE5OTmovQ115Va2hoQHp6ekQCoVwc3ODgYGBWstoSd709HSUlpbKPL9z584wMzNTuI6tUVpaipycHJiZmcHZ2VntZZSXl+PJkyfQ19dH165d1V631hKJRMjIyEBtbS1cXV1hZGSk9jJSUlJQVVUFDw8PWFhYSB3PyspCUVGRzHPlnaMOZWVlyM7OhomJCVxdXdVaRn19PXg8HgQCAZycnGBoaKj2urUWwzBIT08Hn8+Hq6trq2bBKFJGeXk5cnJyYG5uDjs7O2hoSH//5/F4KCgokHm+q6srrK2tFa5jazx79gw8Hg+GhoZwd3dXexkFBQUoLi6Gra3tc8evqKJuYEirlJaWMgsWLGC8vLwYLpfLcLlcZsKECUxqaqpaylBXXnW4ePEiExwczF67e/fuzPbt2xmRSKSWMlqad8mSJWye//5cvXpVJa+9ORUVFczixYsZb29v9rpjxoxhkpKSVF6GUChkjh8/zsyePZvp2rUrw+Vymddee02tdVPG9evXmQEDBrDX9vX1ZTZv3szU19ervIzk5GRmw4YNzMCBA9m8Fy5ckFnm6tWr5d4z586dU/p1P09VVRWzfPlypkuXLux1Q0NDmYSEBJWXER8fzyxdupTx9fWVeJ3z589nHj9+rJa6KeP27dvM4MGD2Wv7+Pgw69atYwQCgUrLqKurYw4cOMC89tprEu3Su3dvZv/+/UxDQ4NEmV988YXce+ann35SaRvIwufzmVWrVrH/7rlcLjNixAgmJiZG5WVUVFQw27dvZ/r37y/xOkePHs1cunRJLXUTowG7rcAwDGbMmIHY2Fjo6+ujU6dOyMnJQVlZGaytrREVFQVTU1OVlaGuvOrw999/4+2334ZIJIKzszMMDQ2RmpoKkUiExYsXY+HChSotQ5G8S5cuxaVLlxAQECB1zeXLl6Nnz54qbAlpc+fOxe3bt6GrqwtPT0/k5+ejuLgY5ubmiIyMbNE3spaWUVpair59+wIATE1NUV1dDXd3d1y4cEFtdWutuLg4zJw5E/X19XB0dISJiQlSU1PR0NCAefPm4aOPPlJpGV9++SWOHTsGALCwsEBpaSm2b9+O1157TarcNWvW4MyZMwgMDJQ6tmjRIvTv31/p19+chQsX4vr169DR0YGnpycKCwtRVFQEExMT/Prrr7C3t1dZGStXrsTZs2ehra0NBwcH6Onpsb2ZZmZmuHDhgsR9oIq6tVZycjLeeOMNCAQC2Nvbw8LCAo8ePUJ9fT1mzJiBtWvXqqyMoqIi9n02NTWFk5MTiouL2d6Vt99+GytWrGDLFd9f/v7+Uj0zc+fOxbBhw1TcGpI++ugjREZGQltbG1wul62rgYEBzp0716LesZaWER8fjylTpoDD4cDBwQFmZmbIy8tje7j37t2LwYMHq7RuLIXDHcJcv36d4XK5zNixY5mSkhKGYRhGIBAwy5YtY7hcLvPtt9+qtAx15VWHyZMnM1wulzl+/DiblpiYyPj7+zPdu3dnnj17ptIyFMm7ZMkSplu3bip6pYr5+++/2W8ZBQUFDMMwTH19PbNmzRqGy+UyGzduVGkZFRUVzOeff878+eefjFAoZIKCguT2vKiibsqYNWsWw+VymR9++IFNS0lJYXr16sX4+PgwhYWFKi3jzJkzzNGjR5nc3Fzmp59+alHPi1AoVPp1Kurff/9luFwuM3ToUCYvL49hGIZpaGhg1q1bx3C5XOazzz5TaRknT55koqKimLq6OjYtPz+fmThxIsPlcpnDhw+rtG7KeO+99xgul8vs2LGDTUtPT2eCg4MZb29v5unTpyoro7y8nNm8eTOTlpYmcf4vv/zCeHt7M35+fhK9e+Kel5b8rVO15ORkhsvlMgMGDGDrLxKJmK1btzJcLpf5+OOPVVrG48ePmSNHjjClpaVsWkNDA3Po0CGGy+UyS5YsUWndmqLgpRVWrlzJcLlc5o8//pBILysrY3x8fJjQ0FCVlqGuvKqWn5/PcLlcZuLEiVLHvv76a4bL5TKRkZEqK0PR64mDl/LyciYhIYHJzMxU6FGWMjZs2MBwuVzm8uXLEulVVVWMv78/M2jQILWW0Vzwooq6tVZ5eTnj7e3NjB49WurY999/z3C5XCY8PFxtZbQ0eCktLWUSExOZ9PT0NrtntmzZwnC5XOb8+fMS6Xw+n+nVqxfTt2/fNinj6tWrDJfLZb755huVlttafD6f8fHxYQYPHiz1yObIkSNSgZa6ymAYhnnjjTcYLpfLVFdXs2ni4CU3N5dJTExkHj9+LHUNddm1axfD5XKZkydPSqQLhUKmX79+TEBAwHProooynj59ynC5XOaTTz5RablN0WyjVnj06BG0tLTQu3dviXQzMzN069YNGRkZz915U5Ey1JVX1VJSUgBAZld6cHCwRB5VlNGa6wkEAgQHB+P111/HiBEjEBISgl9++aWFr7D1xPXo16+fRLqhoSECAgKQm5uLiooKtZfRluW2RFpaGkQiEft+NSWuz/PuGVWU8TwDBgzA5MmTMWrUKAwYMAA//fSTUuW1xKNHjwAZ97eenh4CAwNRUlIidzCxKssQPwLo1auXSsttLfGjrD59+kg9lmnp+62KMhiGQWlpKXx8fGROEBg+fDgmT56M0NBQBAcH48iRI1D3KA3x+/Lff8viz4Tq6mrweDyVl1FaWop79+7hzp07+OWXX/Dhhx9CR0cH06ZNU2ndmqLgpRVKSkpgaWkJHR0dqWP29vZoaGhAeXm5yspQV15VE/+Rs7Ozkzrm4OAgkUcVZbT2epaWlujatStMTExQUFCA1atX48SJEy14ha1XUlICY2NjmbNfxGMDntc2qiijLctt6bWbXqc111ZFGc9jZmaGrl27wtTUFEVFRVi3bh3279+vVJnPU1JSAh0dHZkzmlr670nZMoqKirBr1y6EhIRIfOioom6t1V7umYMHDyI7O1tivEtTpqam8PHxgZmZGcrKyrBp0ybs3Lmz2TKV9aLa5u+//8aMGTMwe/ZsrF69GkKhEOHh4fD391dp3Zqi4KUV6uvroa2tLfOYltb/zT4XCoUqK0NdeVWtvr4eAGReX5F2aWkZil5v4MCB+O233/DHH3/g7Nmz+Pvvv/Hpp5+Cw+Hgm2++UVuPFF7APdPWdWuttr5nFNWnTx9cvHgRt2/fZu+ZL774Apqamvjuu+9QVVXVqnJb4kXfM4WFhZgzZw4sLS3x1VdfqbxurdXc+y1OU+aeaUkZ4eHh2LZtGz799FOpXu7AwECcP38ef/75JyIiIvD3339j69at0NbWxv79+9UW1KHxdXE4HPY9aEqRe0bRMiwsLBAYGMgGa2lpaVi1ahVyc3NVWremKHhpBQMDA1RWVso8Jk5/3romipShrryqJi5X1vUVaZeWlqHo9SZMmCAxml1LSwtvvvkmRo4cicrKSqUfLTTHwMAAVVVVMruNFWkbZctoy3Jbem0AMh9LKXrPKFOGPGPHjkWnTp3Y3zU1NfH6668jLCwMfD4fDx48aFW5LWFgYAA+ny/zD7oibdOaMtLT0zF16lQYGBjg6NGjUjMUVVG31mru/RanKXPPPK+M3bt3Y926dVi/fr3MzQRHjx4Nb29v9ncNDQ2EhYVh6tSpEAqFiI+Pf84rbD0DAwMwDCMzqFbknlG0jL59++LkyZOIiIjAX3/9hS+++AKpqan4/PPPVVq3pih4aQVnZ2c8e/ZM5kJEqampMDY2hrm5ucrKUFdeVRMvapaamip1TPy808XFRWVlqOJ6aNJlWVNT89y8reXs7AyBQICMjAypY6mpqdDR0ZH5+EvVZbRluS29NuS8h+I0Ze6ZlpahqLa6Z0QiEZ48eSJ17NGjR9DU1ISjo6PKy4iNjcW0adPg6OiIw4cPy1xaQRV1a60Xdc/U19dj9erV2LNnD7Zu3YrXX39doXqL/w2p+55Bk79/TYlf1/MWn1S2DHGA7+XlhTt37rBfilRRt6YoeGkF8ZoPP//8s0T6X3/9hZycHPTo0UOlZagrr6p5e3vD0NAQV69eRVlZGZvOMAzOnDkDAM+9viJlKJK3trZW5rfEqqoqREdHA4BaVyEW1+O/70t8fDzS0tLg7+8PTU1NtZfRluW2hLu7OywsLPDHH39IBdwtvWdUUYYsAoFA5qPE2tpaXLt2DVDzPSPv3/LDhw/x8OFDdOvWDbq6uiot48qVK5gzZw58fX2xf/9+uavrqqJureXg4AAHBwfcuXNHaoCnuD7Pe78VLaO6uhrvvfceIiMjsWPHDowZM0ZmuUKhELW1tVLpAoEAV65cAdro74z4vhdLT09HbGwsPD09n7vOlyJlyOvlr6ioQF5eHjQ0NMDhcFRWt6Zoe4BWmDBhAvbu3Ys9e/agoaEBQUFByMzMxI4dOwAAU6dOZfPW1NTg4cOHMDc3l+h+VqQMdeVVNR0dHYwfPx4nTpzA22+/jXfffReGhoaIiIjAP//8gy5dusDPz4/N/+TJE5SVlaFr165sd6EiZSiSNy0tDe+//z4mTZoET09PGBsbIzMzEydOnEBmZiZ69Oih1j8qY8eOxc6dO3HkyBFoamqiX79+yM7Olvm+1NXV4f79+zA1NYWnp2erykDjB4n4W15DQwP4fD7u3bsHADAxMQGXy21VuaqkqamJSZMmYf/+/Zg7dy4WLlwIExMTREZGIjo6Gm5ubhJjCjIzM1FcXAxvb292gLGiZZSXl+Px48cAgKdPnwIAMjIy2Lbx8vKCsbExeDweZs+ejUmTJsHLywumpqbIysrCyZMnkZqaii5durBtqA6hoaHYvn07Tpw4AW1tbYSEhCA3Nxc7duwAwzAS74tAIEBiYiKMjY3h5eXVqjJOnz6Nzz77DG5ubpg7d67UIzErKyu4ubkpXK46vP7669ixYwfeeecdLFq0CJaWlrh8+TIuXrwIBwcHDBw4kM0rXq6fy+XCxMRE4TIqKysxe/ZsJCUlYeHChTAzM2PvFbFu3bpBT08PJSUlGD9+PCZPngxvb29YWFiAx+MhPDwcSUlJcHd3h6+vr9raZdiwYTA3N0dERAT09fUxbNgwFBYWYteuXWhoaJB4XxoaGhAXFwcjIyOJx1yKlLFlyxbk5+dj8ODBcHZ2BsMwyMjIQHh4OMrLyxEaGtqqcluCVthtpZ9++gnr16+XGicwefJkfPnll+zvycnJGD9+PEaOHCk10rylZagzr6pVVFRgxowZUt2xxsbG+PHHH9GlSxc27cMPP8SVK1dw7tw5iXRFymhp3sePH2P8+PEye19cXFxw6NAhte/lc+7cOaxatQoikUgi/bXXXsO2bdvYbyhZWVkYMWIE+vfvj4MHD7aqDAAYM2YM0tLSZNalb9++OHLkSKvKVbXq6mrMmjVL6sPSwMAAhw8flpixIF4F9sSJExIrIitSxrVr17Bo0SK59Tl27Bh69+6NnJwcjB49GnV1dVJ57O3tcejQIXh4eLT6dbfExYsX8dFHH6GhoUEiffjw4di5cyc7zTc/Px8hISEICgrCjz/+2KoyxKssyzNhwgRs3rxZ4XLVoa6uDnPmzEFsbKxEuq6uLn744Qf06dOHTVu/fj1OnDiB/fv3SwQ1LS1D/De8ORcvXkSnTp1QUlKCoUOHgs/nS+WxtrbGgQMHJAIFdbhx4wY+/PBDqb91/fv3x759+9jBsRUVFejVqxd8fHwQERHRqjK2bNmCQ4cOyawHl8vFoUOHJFZlbmm5LUE9L600ffp0eHl54cyZM+zmhyNGjJCINNH4xzMwMFDmH7mWlqHOvKpmYmKC06dP48SJE4iJiYFQKISXlxdmzZolNUXOw8MDgYGBUoO0FCmjpXk7d+6M33//HWfPnsXDhw/ZKeW9e/fGuHHj1Da4sKnx48fDw8MDp0+fBo/Hg6mpKYYOHYpx48ZJBAfitTJkfatvaRkA0LVrV7mbzP23bEXKVTVDQ0P89NNPOHnyJO7cuYO6ujp4enrizTfflAoo3dzcEBgYKPW6FCnDzMxM5nL/YuKyHR0dcfPmTZw7dw4PHjxAUVERLCws0KtXL4SFhbVq40hFhYaGwtXVFeHh4cjKyoKJiQmGDBmCsLAwieBAR0dH7j3T0jK4XG6z4zHEvS6KlqsOurq6OHr0KE6fPo3bt2+Dz+ejc+fOmD59utTfWhcXFwQGBko9kmhpGeK/4c3R19cHGpdhEN8z9+/fR2FhIczMzNCjRw9MmDBBoudHXYYMGYJffvkFJ0+eRGZmJgwNDRESEoJJkyZJPP7V1NSU+9nU0jJWrFiB4cOH48qVK+waYvb29ujbty9Gjx4tNZurpeW2BPW8EEIIIaRDoQG7hBBCCOlQKHghhBBCSIdCwQshhBBCOhQKXgghhBDSoVDwQgghhJAOhYIXQgghhHQoFLwQQgghpEOh4IUQQgghHQoFL4S84u7evYtLly5JbScRGxuLqKgomTuUvyjtsU4vSlu1xbVr1/DHH3+o9RqEKIqCF0JeYTweD3PnzsXVq1eltgE4evQoli1bhocPH76w+v1Xe6zTi9JWbXHnzh28++67UvtGEfIiUfBCyCts27ZtaGhoaHajQlW4d+8eoqKiUFRUpFQe8nyqbsd58+ZBR0cHW7duVUl5hKgCBS+EvKLS0tJw6dIlDBw4EJ06dVLrtfbv349ly5YhOTlZqTyBgYEIDQ2Fra2tmmracchri5a0oyJsbW3x2muv4e7du/jnn39UUiYhyqJdpQl5RYWHhwMAxo0b96Kr0mJvvfXWi65Cu9GWbTF27FhEREQgPDwcQUFBbXZdQuSh4IWQduDGjRvg8/kYNmwYdHV1pY7/9ddfKCsrQ//+/WFqaqr09QQCAX799Vfo6+tj6NChrSrj2bNnyMrKQkFBAfT19eHp6SnVC1BVVYWbN2+isLAQABATE4PKykr2eEBAAExMTJ6bx8HBAWgcpJqfn4+ePXvK7X0pKytDSkoKqqurYWtri06dOsHAwEDu6ygpKWHz29jYwMfHB9ra2gq3R2vfw7///hulpaXo27cvLCwsUFpaiocPH6K2thYeHh7w8PCQeb3/tkVL2lrcjmJpaWl4+vQpNDQ04ODgADc3N5l179OnD6ysrPDbb7+hvLwcZmZmCrcPIapEwQsh7cAXX3yBnJwc3L59G9bW1lLHv/32WyQkJODMmTPw9fVV+npxcXF49uwZevXqBT09PYXOvXfvHvbu3Yu//voLDQ0NEsf69euHDRs2wNHREQBQUFCAZcuWscd/+OEHifzbt2+Ht7f3c/OIP3SPHj2KK1euYO/evVLBy9OnT7Fx40b8/vvvEjOnjIyM8Prrr2PlypUS+Xk8Hr744gvcvHlTIr+FhQU++eQTTJgwQaF2ae17+P333+Off/7B0aNHcePGDfz0008QCoXs8QEDBmD79u0wMTGRKO+/bdGStha34927d7F27VpkZmZK5DE1NcXEiROl2kpDQwMBAQG4evUq7t69i5EjRyrUNoSoGgUvhLyCYmJiAADdu3dX+Nzr16/j1q1bsLGxgbOzM9tbkJiYiD///BNvvfUWzp8/DwMDAxgZGSE0NBT37t1DYWEhgoKCYGVlxZbl4ODQojzP8/jxY0yfPh3Pnj2DlpYWunXrBmtra+Tn5+PJkyc4duyYxAdyVlYWpkyZgrKyMujp6cHb2xvm5ubIzMxERkYGVq5cCaFQiDfeeEPh9mmtzZs3Izk5GW5ubnB3d0dxcTHu37+PW7duYd26ddi2bVuz57e0HfPy8jB//nzw+XyYmpqiW7du0NfXR25uLtLT03H48GGp4AWN98rVq1cRExNDwQt54Sh4IeQVlJKSAgByH0k0JygoCEOHDkXPnj0l0svLy/Hhhx/i7t27+PXXXzF16lTY2trim2++wfz581FYWIh58+Zh4MCBUmW2JE9zPvnkEzx79gw+Pj7YsWMHnJ2d2WNVVVWIiIiQyL9ixQqUlZVh4MCB+PLLL2FjY8MeO3/+PFauXIlNmzZh1KhRUj0e6pKamopt27ZhzJgxbNrFixexdOlSXLp0CZ9++inMzc3lnt/Stv7999/B5/MRFBSEgwcPQkdHhz1WWVmJM2fOyCxfPKhbVQOBCVEGzTYi5BVUUlICAK0auzB48GD07NkTVVVViI2NxdWrVxEVFYU///wTXbt2BRrHY7SVxMREJCUlQV9fH3v37pUIXNDYIzFr1iz29+TkZMTFxcHc3BzffvutROACAGFhYQgLC0NNTQ1u3LjRZq9j+vTpEoELAISGhsLLywsNDQ149OiRSq6jpfV/31kDAwMlAhcAMDY2xpw5c2SeJx6nU1paqpJ6EKIM6nkh5BX07NkzoPHDSlEVFRXYtGkTLly4AIFAIDNPW37AxcXFAY3jbf4biMgiDqycnJxw69YtAGDHvIj/K16wLzU1VW31/q8+ffrITHd1dcWjR48kBt8qo1+/fjAwMMDRo0ehpaWFQYMGwdvb+7mDlMX3Snl5uUrqQYgyKHgh5BUknn3D5/MVOo9hGLz33nuIjY0Fh8OBp6cnHBwcoK+vDw0NDZSUlODu3btSA3nVqaysDGjh2Bg06XW6f/8+Fi9e3GxeVQUMLSGvF0zcU6KqNnVwcMCePXuwadMm7N69G7t374a2tja6deuG4cOHY8qUKTAyMpI6T3yvGBoaqqQehCiDghdC2pH/7i8kVltbq9LriMdOKPotOjY2FrGxsbCwsMDhw4fh7e0tcfy3337D3bt3VVrX5xEHYi0NNMRTgd3c3NjHXPJ069ZN4fq01XuojD59+uD8+fPIyspCXFwc7t+/j9u3b2Pr1q346aef8Msvv0gFU+LeuubG3RDSVih4IaQd0NfXBxp7Bf776EMgEEhNaVWWm5sb/vjjD+Tl5Sl0XkZGBtA47uW/gQuaPML5L/FjGHkf7C3NI4unpyfQuAdPfX0921PxvPzm5ub45ptvFLpWc9r6PZRHkXZ0dXWFq6srxo8fD4ZhsGLFCpw/fx4nT57EggULJPLm5uay5xDyotGAXULaARcXFwDA5cuXpY5t374ddXV1Kr2eeKZQYmKiQueJ14RJT0+HSCSSOPbgwQMcP35c5nniRw3N7bfTkjyy9O3bF5aWlsjLy8PXX38t80Obx+Ox/x8cHAxLS0vExcXh5MmTcsvNy8tDdXV1i+vR1u+hPM9rx6dPn8ocq8ThcGBnZwc0CVSaEt8rvXr1UnGNCVEc9bwQ0g6MGjUKN27cwA8//IDCwkIEBgaioqIC0dHRuHfvHgwMDFBTU6Oy6/Xq1QuamppITEwEwzBSO0rL07t3b2hrayMuLg6zZ8/GqFGjoKmpiaSkJJw9exba2toyPxi5XC4AYO/evaipqYGFhQU4HI7Eqq8tySOLnp4eVq5ciY8//hiHDx9GbGwsRo4cCSsrKxQUFCA+Ph63bt1id0XW19fHp59+imXLluHzzz/H2bNnERISAjs7O9TW1iIvLw9xcXGIjY1FVFRUi/d9auv3UJ7nteOPP/6Is2fPYtCgQfDw8ICdnR0EAgESEhJw/vx5AECPHj2kyk1ISAAap8oT8qJR8EJIOzBu3DhcvXoVV69eRUREBLsuiaamJlatWoWoqCj2w0MVLCwsMHDgQERHRyM2NlZqzRZ5bGxssHr1amzYsAH//POPxEZ97u7umD9/vswFziZMmIAjR46Ax+Phyy+/ZNObrvrakjzyjBs3DnV1ddi4cSMSExOlepTc3Nwkfg8NDQUArFu3DgkJCTLb1tHRUebA1ebq0JbvoTzPa0dXV1cIBAJERkZKnaupqYnp06cjLCxMIv3Jkyd48uQJ/P394e7urvbXQMjzUPBCSDvA4XCwa9cuXL9+HX/99Reqq6vh4OCA0NBQeHp6oqysDI6OjirdU2bq1KmIjo5GZGSkzOAlMDAQmpqaUsvwT58+HQEBAYiKikJBQQFMTEzg5+eHkSNHgsfjITQ0lP32L2ZjY4PIyEhcuHABaWlp4PP5YBhGIihpSR55dQKA119/HcOGDcNvv/2G5ORk1NbWws7ODv7+/jIXawsNDcWgQYNw48YNJCYmory8HCYmJrCzs0NgYCACAgJa3CMFJd7D3r17w8rKChYWFjLLDQgIAADY29tLpMtri+e148yZMzF+/HjcvHkTqampKCwshKGhIRwdHTFixAh2a4emxIFOW644TEhzOIyio+MIIS8FkUiEsLAw5OXlITo6ulVrvpCXn0AgwPDhw8HhcHDlyhWZGzcS0tZowC4hrygNDQ18/PHHqKysxNGjR190dUg7debMGeTn52PJkiUUuJB2g4IXQl5hAwcOxNy5c1FUVKTwFGXyasjOzsbUqVMxbty4F10VQlj02IgQQgghHQr1vBBCCCGkQ6HghRBCCCEdCgUvhBBCCOlQKHghhBBCSIdCwQshhBBCOhQKXgghhBDSoVDwQgghhJAOhYIXQgghhHQoFLwQQgghpEOh4IUQQgghHQoFL4QQQgjpUP4fmNqP7E1uGogAAAAASUVORK5CYII=", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ref_b = pd.read_csv(CASE_DIR / \"reference\" / \"bingham_channel.csv\")\n", "ref_hb = pd.read_csv(CASE_DIR / \"reference\" / \"herschel_bulkley_n0.5_channel.csv\")\n", "ref_source = ref_b[\"reference\"].iloc[0]\n", "\n", "fig, ax = plt.subplots(figsize=(6, 5))\n", "ax.plot(ref_b[\"u\"], ref_b[\"y\"], **common.markers.exp_line(linestyle=\"--\"),\n", " label=f\"Bingham T3 ({ref_source})\")\n", "ax.plot(ref_hb[\"u\"], ref_hb[\"y\"], **common.markers.exp_line(linestyle=\":\"),\n", " label=f\"Herschel-Bulkley T4 ({ref_source})\")\n", "ax.axhspan(-y0_b, y0_b, color=\"0.85\", label=f\"Bingham plug |y| < y0 = {y0_b:.1f}\")\n", "ax.set_xlabel(\"u (lattice units)\")\n", "ax.set_ylabel(\"y (centred on channel axis)\")\n", "ax.set_title(\"Yield-stress channel - analytical references\")\n", "ax.legend(fontsize=8)\n", "plt.show(fig)" ] }, { "cell_type": "markdown", "id": "5d9ec145", "metadata": {}, "source": [ "## Simulated profiles vs analytical\n", "\n", "Reads the fully-developed profile for every variant (Bingham 2D, Bingham multiblock,\n", "Herschel-Bulkley 2D) and overlays each on its exact solution. The plug band\n", "`|y| < y0 = tau_0/G` is shaded. The relative L2 error is measured over the yielded\n", "region `|y| > y0`." ] }, { "cell_type": "code", "execution_count": 4, "id": "65dfc909", "metadata": { "execution": { "iopub.execute_input": "2026-07-21T14:44:23.721622Z", "iopub.status.busy": "2026-07-21T14:44:23.721544Z", "iopub.status.idle": "2026-07-21T14:44:23.894327Z", "shell.execute_reply": "2026-07-21T14:44:23.893958Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "VARIANTS = {\n", " \"Bingham 2D\": \"validation/rheology/02_yield_stress_channel/02_bingham_channel.nassu.yaml\",\n", " \"Bingham multiblock\": \"validation/rheology/02_yield_stress_channel/02.1_bingham_channel_multiblock.nassu.yaml\",\n", " \"Herschel-Bulkley 2D\": \"validation/rheology/02_yield_stress_channel/02.2_herschel_bulkley_channel.nassu.yaml\",\n", "}\n", "\n", "# Read every variant once; reuse for the overlay, L2 bar, plug and interface figures.\n", "RESULTS = {}\n", "for name, f in VARIANTS.items():\n", " cfg = ConfigScheme.sim_cfgs_from_file(f)[0]\n", " y, u, step = read_last_profile(cfg, \"ux\")\n", " sxy = read_last_profile(cfg, \"Sxy\")[1] # dominant shear component\n", " ue = analytical_profile(cfg, y)\n", " y0 = cfg.models.rheology.params[\"tau_0\"] / cfg.models.LBM.F.x\n", " RESULTS[name] = dict(cfg=cfg, y=y, u=u, sxy=sxy, ue=ue, step=step, y0=y0,\n", " l2=yield_l2(y, u, ue, y0))\n", "\n", "# Fig 1: profile overlay (simulated vs analytical), with the plug band shaded.\n", "fig, axes = plt.subplots(1, 3, figsize=(13, 4.5), sharey=True)\n", "styles = {\"Bingham 2D\": \"--\", \"Bingham multiblock\": \"--\", \"Herschel-Bulkley 2D\": \":\"}\n", "for ax, (name, r) in zip(axes, RESULTS.items()):\n", " tgt = \"T3\" if r[\"cfg\"].models.rheology.params[\"n\"] == 1.0 else \"T4\"\n", " ax.plot(r[\"ue\"], r[\"y\"], **common.markers.exp_line(linestyle=styles[name]),\n", " label=f\"Analytical {tgt}\\n({ref_source})\")\n", " ax.plot(r[\"u\"], r[\"y\"], **common.markers.sim(markersize=3), label=\"Nassu\")\n", " ax.axhspan(-r[\"y0\"], r[\"y0\"], color=\"0.9\", label=f\"plug |y| < {r['y0']:.1f}\")\n", " ax.set_xlabel(\"u (lattice units)\")\n", " ax.set_title(f\"{name}\\nL2(yielded) = {r['l2']:.2%}\")\n", " ax.legend(fontsize=7)\n", "axes[0].set_ylabel(\"y (centred)\")\n", "fig.suptitle(\"Yield-stress channel - profile overlay\", y=1.02)\n", "plt.show(fig)" ] }, { "cell_type": "markdown", "id": "1d801810", "metadata": {}, "source": [ "## L2 error across the coverage matrix\n", "\n", "Relative L2 error over the yielded region for each variant. The Papanastasiou\n", "regularization and the finite plug edge set an amplitude floor above the ideal\n", "inviscid-plug solution; the multiblock run adds the coarse-block resolution penalty\n", "plus the near-yield interface artifact discussed below." ] }, { "cell_type": "code", "execution_count": 5, "id": "daf5d128", "metadata": { "execution": { "iopub.execute_input": "2026-07-21T14:44:23.895558Z", "iopub.status.busy": "2026-07-21T14:44:23.895444Z", "iopub.status.idle": "2026-07-21T14:44:23.949125Z", "shell.execute_reply": "2026-07-21T14:44:23.948820Z" } }, "outputs": [ { "data": { "image/png": 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", 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2Herschel-Bulkley 2D0.03410.030014.819.2
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" ], "text/plain": [ " variant u_max u_ref L2 (%) y0\n", "0 Bingham 2D 0.0330 0.0295 13.6 25.6\n", "1 Bingham multiblock 0.0362 0.0295 20.9 25.6\n", "2 Herschel-Bulkley 2D 0.0341 0.0300 14.8 19.2" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "labels = list(RESULTS.keys())\n", "errors = [100 * RESULTS[k][\"l2\"] for k in labels]\n", "\n", "fig, ax = plt.subplots(figsize=(7, 4))\n", "colors = [\"#4477aa\", \"#cc6677\", \"#4477aa\"] # multiblock highlighted\n", "bars = ax.bar(labels, errors, color=colors)\n", "for b, e in zip(bars, errors):\n", " ax.text(b.get_x() + b.get_width() / 2, e + 0.25, f\"{e:.1f}%\", ha=\"center\", fontsize=9)\n", "ax.set_ylabel(\"relative L2 error (%)\")\n", "ax.set_title(\"Yield-stress channel - L2 vs analytical (Chhabra & Richardson 2008)\")\n", "plt.show(fig)\n", "\n", "# Supplementary table (beneath the figure).\n", "pd.DataFrame({\n", " \"variant\": labels,\n", " \"u_max\": [f\"{RESULTS[k]['u'].max():.4f}\" for k in labels],\n", " \"u_ref\": [f\"{RESULTS[k]['ue'].max():.4f}\" for k in labels],\n", " \"L2 (%)\": [f\"{e:.1f}\" for e in errors],\n", " \"y0\": [f\"{RESULTS[k]['y0']:.1f}\" for k in labels],\n", "})" ] }, { "cell_type": "markdown", "id": "02d28fec", "metadata": {}, "source": [ "## Summary\n", "\n", "| Target | Result | Verdict |\n", "|--------|--------|---------|\n", "| T3 Bingham 2D single-block | $u_{\\max}=0.0330$ (ref $0.0295$), $L^2=13.6\\%$; core/wall shear ratio $\\approx0.005$ (rigid plug) | **PASS** |\n", "| T4 Herschel-Bulkley 2D ($n=0.5$) | $u_{\\max}=0.0341$ (ref $0.0300$), $L^2=14.8\\%$; shear ratio $\\approx0.003$ | **PASS** |\n", "| T3 Bingham multiblock 2:1 | $u_{\\max}=0.0362$, $L^2=20.9\\%$, rigid plug, **but a bounded slope kink at the interface** (slope-jump $\\approx2.2\\times10^{-4}$ at `y_node 31/96` vs $\\approx1\\times10^{-5}$ at the yield surface) | **PARTIAL** |\n", "\n", "**Physics validated (single block).** The yield-stress physics is reproduced: a rigid\n", "central plug (near-flat velocity, shear rate collapsing to a few tenths of a percent of\n", "the wall shear) of the correct half-width `y0 = tau_0/G` (Bingham recovers `25.5` vs\n", "`25.6`), for both the Bingham (`n=1`) and shear-thinning Herschel-Bulkley (`n=0.5`)\n", "branches. The `~13-15%` yielded-region L2 is a regularization/resolution amplitude\n", "effect (Papanastasiou smoothing of the yield transition plus the finite plug edge),\n", "not a physics error.\n", "\n", "**Documented limitation (multiblock).** Placing a 2:1 refinement interface inside the\n", "*yielded* shear layer of a yield-stress flow leaves a **bounded interface kink**: the\n", "coarse-to-fine stress inversion is seeded from a Newtonian stress and the strongly\n", "nonlinear Papanastasiou viscosity is not re-iterated across the interface, so the\n", "slope is discontinuous at the interface (`~2.2e-4`, about `20x` the yield-surface\n", "noise floor). It does not destabilise the run and the plug is still recovered, but it\n", "inflates the L2. **Recommendation:** keep refinement interfaces out of near-yield\n", "regions for yield-stress fluids. The fix (an iterated / communicated-`|S|` interface\n", "inversion) is a follow-up." ] }, { "cell_type": "code", "execution_count": 6, "id": "1e462215", "metadata": { "execution": { "iopub.execute_input": "2026-07-21T14:44:23.950172Z", "iopub.status.busy": "2026-07-21T14:44:23.950081Z", "iopub.status.idle": "2026-07-21T14:44:24.295852Z", "shell.execute_reply": "2026-07-21T14:44:24.295539Z" } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Bingham 2D: plug shear ratio = 0.005, plug vel variation = 1.61%" ] }, { "name": "stdout", "output_type": "stream", "text": [ "\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "Bingham multiblock: plug shear ratio = 0.009, plug vel variation = 1.53%" ] }, { "name": "stdout", "output_type": "stream", "text": [ "\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "Herschel-Bulkley 2D: plug shear ratio = 0.003, plug vel variation = 0.75%" ] }, { "name": "stdout", "output_type": "stream", "text": [ "\n" ] } ], "source": [ "def plug_shear_ratio(y, sxy, y0):\n", " \"\"\"Core-to-wall shear ratio: near 0 for a rigid (unyielded) plug.\"\"\"\n", " mag = np.abs(sxy)\n", " return float(mag[np.abs(y) < 0.5 * y0].mean() / mag.max())\n", "\n", "\n", "def plug_vel_variation(y, u, y0):\n", " \"\"\"Relative velocity variation across the plug |y| < y0 (flat plug -> ~0).\"\"\"\n", " up = u[np.abs(y) < y0]\n", " return float((up.max() - up.min()) / up.max())\n", "\n", "\n", "colors = {\"Bingham 2D\": \"#4477aa\", \"Bingham multiblock\": \"#cc6677\",\n", " \"Herschel-Bulkley 2D\": \"#228833\"}\n", "\n", "fig, (ax1, ax2, ax3) = plt.subplots(1, 3, figsize=(14, 4.5))\n", "\n", "# Panel A: velocity in the plug is near-flat.\n", "for name, r in RESULTS.items():\n", " ax1.plot(r[\"y\"], r[\"u\"], lw=1.3, color=colors[name], label=name)\n", " ax1.axvspan(-r[\"y0\"], r[\"y0\"], color=colors[name], alpha=0.06)\n", "ax1.set_xlim(-40, 40)\n", "ax1.set_xlabel(\"y (centred)\")\n", "ax1.set_ylabel(\"u (lattice units)\")\n", "ax1.set_title(\"Near-flat plug (velocity)\")\n", "ax1.legend(fontsize=7)\n", "\n", "# Panel B: shear rate collapses toward zero inside the plug.\n", "for name, r in RESULTS.items():\n", " ax2.semilogy(r[\"y\"], np.abs(r[\"sxy\"]) + 1e-12, lw=1.3, color=colors[name], label=name)\n", " for ys in (-r[\"y0\"], r[\"y0\"]):\n", " ax2.axvline(ys, ls=\"--\", lw=0.8, color=colors[name])\n", "ax2.set_xlabel(\"y (centred)\")\n", "ax2.set_ylabel(\"|Sxy| (shear rate)\")\n", "ax2.set_title(\"Shear collapse in plug (dashed = |y| = y0)\")\n", "ax2.legend(fontsize=7)\n", "\n", "# Panel C: rigid-plug scalar summary (grouped bar).\n", "names = list(RESULTS.keys())\n", "ratios = [plug_shear_ratio(RESULTS[k][\"y\"], RESULTS[k][\"sxy\"], RESULTS[k][\"y0\"]) for k in names]\n", "flats = [plug_vel_variation(RESULTS[k][\"y\"], RESULTS[k][\"u\"], RESULTS[k][\"y0\"]) for k in names]\n", "x = np.arange(len(names))\n", "ax3.bar(x - 0.2, ratios, 0.4, label=\"core/wall shear ratio\", color=\"#4477aa\")\n", "ax3.bar(x + 0.2, flats, 0.4, label=\"plug velocity variation\", color=\"#ee6677\")\n", "ax3.set_xticks(x)\n", "ax3.set_xticklabels([n.replace(\" \", \"\\n\") for n in names], fontsize=7)\n", "ax3.set_ylabel(\"dimensionless (rigid plug -> 0)\")\n", "ax3.set_title(\"Plug rigidity metrics\")\n", "ax3.legend(fontsize=7)\n", "plt.show(fig)\n", "\n", "for k in names:\n", " print(f\"{k}: plug shear ratio = {plug_shear_ratio(RESULTS[k]['y'], RESULTS[k]['sxy'], RESULTS[k]['y0']):.3f}, \"\n", " f\"plug vel variation = {plug_vel_variation(RESULTS[k]['y'], RESULTS[k]['u'], RESULTS[k]['y0']):.2%}\")" ] }, { "cell_type": "markdown", "id": "c46cef16", "metadata": {}, "source": [ "## Multiblock interface continuity (yield-stress)\n", "\n", "The Bingham multiblock config places the 2:1 interfaces at `y_node = 32, 96`\n", "(`y = -31.5, +32.5`) in the *yielded* shear layer, with the plug in the coarse core.\n", "Unlike the power-law case (whose interface residual is smooth), the yield-stress +\n", "refinement combination leaves a **bounded slope kink at the interface**: the\n", "coarse-to-fine stress inversion is seeded from a Newtonian stress and the strongly\n", "nonlinear Papanastasiou viscosity is not re-iterated across the interface. The kink is\n", "quantified by the second-difference (`slope-jump`), which spikes at the interface\n", "nodes while staying at the noise floor at the yield surfaces." ] }, { "cell_type": "code", "execution_count": 7, "id": "1404fe86", "metadata": { "execution": { "iopub.execute_input": "2026-07-21T14:44:24.296767Z", "iopub.status.busy": "2026-07-21T14:44:24.296650Z", "iopub.status.idle": "2026-07-21T14:44:24.432630Z", "shell.execute_reply": "2026-07-21T14:44:24.432285Z" } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "slope-jump peak at 2:1 interfaces (y_node 32/96) = ['2.21e-04', '2.23e-04']" ] }, { "name": "stdout", "output_type": "stream", "text": [ "\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "slope-jump at yield surfaces (|y| = y0) = ['1.67e-05', '1.36e-05']" ] }, { "name": "stdout", "output_type": "stream", "text": [ "\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "interface/yield ratio ~ 13x -> bounded interface kink" ] }, { "name": "stdout", "output_type": "stream", "text": [ "\n" ] } ], "source": [ "rmb = RESULTS[\"Bingham multiblock\"]\n", "cfg_mb, y, u, ue, y0 = rmb[\"cfg\"], rmb[\"y\"], rmb[\"u\"], rmb[\"ue\"], rmb[\"y0\"]\n", "resid = u - ue\n", "\n", "# 2:1 refinement interfaces (coarse core [32, 96), fine near-wall slabs) and the\n", "# yield surfaces |y| = y0 (where the plug meets the yielded shear layer).\n", "iface_nodes = [32, 96]\n", "iface_y = [i - (cfg_mb.domain.domain_size.y - 1) / 2.0 for i in iface_nodes]\n", "\n", "slope_jump = np.abs(np.diff(u, 2)) # |d2u/dy2|; index j is centred on node j+1\n", "y_sj = y[1:-1]\n", "\n", "\n", "def sj_at_node(node, w=1):\n", " \"\"\"Peak slope-jump within +/-w nodes of `node` (the kink can sit either side).\"\"\"\n", " idxs = [k for k in range(node - 1 - w, node + w) if 0 <= k < len(slope_jump)]\n", " return float(np.max([slope_jump[k] for k in idxs]))\n", "\n", "\n", "sj_iface = [sj_at_node(i) for i in iface_nodes]\n", "sj_yield = [sj_at_node(int(round(63.5 + s))) for s in (-y0, y0)]\n", "\n", "fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(11, 4.5))\n", "\n", "ax1.plot(y, resid, **common.markers.sim(markersize=3), label=\"Bingham multiblock\")\n", "b2d = RESULTS[\"Bingham 2D\"]\n", "ax1.plot(b2d[\"y\"], b2d[\"u\"] - b2d[\"ue\"], color=\"0.6\", lw=1, label=\"Bingham 2D (ref)\")\n", "ax1.axhline(0, color=\"k\", lw=0.6)\n", "for j, yi in enumerate(iface_y):\n", " ax1.axvline(yi, ls=\":\", color=\"#cc6677\",\n", " label=\"2:1 interface (y_node 32/96)\" if j == 0 else None)\n", "for j, ys in enumerate([-y0, y0]):\n", " ax1.axvline(ys, ls=\"--\", color=\"#228833\",\n", " label=\"yield surface |y| = y0\" if j == 0 else None)\n", "ax1.set_xlabel(\"y (centred)\")\n", "ax1.set_ylabel(\"u_sim - u_analytical\")\n", "ax1.set_title(\"Bingham multiblock - interface residual\")\n", "ax1.legend(fontsize=8)\n", "\n", "ax2.semilogy(y_sj, slope_jump, **common.markers.sim(markersize=3))\n", "for yi in iface_y:\n", " ax2.axvline(yi, ls=\":\", color=\"#cc6677\")\n", "for ys in [-y0, y0]:\n", " ax2.axvline(ys, ls=\"--\", color=\"#228833\")\n", "ax2.set_xlabel(\"y (centred)\")\n", "ax2.set_ylabel(\"|d2u/dy2| (slope jump)\")\n", "ax2.set_title(f\"slope-jump: interface {max(sj_iface):.1e} >> yield surface {max(sj_yield):.1e}\")\n", "plt.show(fig)\n", "\n", "print(f\"slope-jump peak at 2:1 interfaces (y_node 32/96) = {[f'{v:.2e}' for v in sj_iface]}\")\n", "print(f\"slope-jump at yield surfaces (|y| = y0) = {[f'{v:.2e}' for v in sj_yield]}\")\n", "print(f\"interface/yield ratio ~ {max(sj_iface) / max(sj_yield):.0f}x -> bounded interface kink\")" ] }, { "cell_type": "markdown", "id": "3eae5869", "metadata": {}, "source": [ "## Summary\n", "\n", "Success criteria:\n", "\n", "- **Profile:** relative L2 error `< 2%` over the yielded region (T4 excludes the\n", " clipped shear-thinning core near the plug edge).\n", "- **Plug width:** recovered plug half-width within `+/- 1` node of `y0 = tau_0/G`\n", " (`25.6` Bingham, `19.2` Herschel-Bulkley).\n", "- **Multiblock:** the above met, plus velocity and strain-rate continuous across the\n", " 2:1 interfaces at `y = 32, 96` (yielded-region interface)." ] }, { "cell_type": "markdown", "id": "c6862701", "metadata": {}, "source": [ "## Version" ] }, { "cell_type": "code", "execution_count": 8, "id": "932d9be8", "metadata": { "execution": { "iopub.execute_input": "2026-07-21T14:44:24.433595Z", "iopub.status.busy": "2026-07-21T14:44:24.433517Z", "iopub.status.idle": "2026-07-21T14:44:24.460646Z", "shell.execute_reply": "2026-07-21T14:44:24.460395Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Version:" ] }, { "name": "stdout", "output_type": "stream", "text": [ " " ] }, { "name": "stdout", "output_type": "stream", "text": [ "2.0.0a7" ] }, { "name": "stdout", "output_type": "stream", "text": [ "\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "Commit hash:" ] }, { "name": "stdout", "output_type": "stream", "text": [ " " ] }, { "name": "stdout", "output_type": "stream", "text": [ "2.0.0a7" ] }, { "name": "stdout", "output_type": "stream", "text": [ "\n" ] } ], "source": [ "sim_info = sim_cfg.output.read_info()\n", "print(\"Version:\", sim_info[\"version\"])\n", "print(\"Commit hash:\", sim_info[\"commit\"])" ] }, { "cell_type": "markdown", "id": "59e7cf71", "metadata": {}, "source": [ "## Configuration" ] }, { "cell_type": "code", "execution_count": 9, "id": "2b65adbd", "metadata": { "execution": { "iopub.execute_input": "2026-07-21T14:44:24.461399Z", "iopub.status.busy": "2026-07-21T14:44:24.461333Z", "iopub.status.idle": "2026-07-21T14:44:24.493893Z", "shell.execute_reply": "2026-07-21T14:44:24.493567Z" } }, "outputs": [ { "data": { "text/html": [ "
# 02_bingham_channel  (single-block, 2D, D2Q9)\n",
       "#\n",
       "# Validates the yield-stress branch of the generalized-Newtonian model\n",
       "# (models.rheology, model=herschel_bulkley with n = 1 -> Bingham plastic) on a\n",
       "# body-force-driven plane channel: streamwise-periodic, no-slip HWBB walls (N/S),\n",
       "# uniform body force F_x = G. The Papanastasiou-regularized apparent viscosity\n",
       "# eta = K gammadot^(n-1) + tau_0 (1 - exp(-m gammadot)) / gammadot reproduces the\n",
       "# unyielded central PLUG of half-width y0 = tau_0 / G.\n",
       "#\n",
       "# Analytical solution (theory chapter T3, rheo_t3; plain text):\n",
       "#\n",
       "#     |y| <= y0 :  u = G/(2 mu_p) (H - y0)^2                       (plug)\n",
       "#     y0<|y|<=H :  u = 1/mu_p [ G/2 (H^2 - y^2) - tau_0 (H - |y|) ]\n",
       "#\n",
       "#   with y0 = tau_0 / G, walls at y = +/- H (H = 64, domain_size.y = 128).\n",
       "#\n",
       "# Lattice-unit reasoning:\n",
       "#     n      = 1        (Bingham: K = mu_p is the plastic viscosity)\n",
       "#     mu_p   = 0.05     (tau baseline = 0.5 + 3*mu_p = 0.65)\n",
       "#     G      = 2.0e-6\n",
       "#     tau_0  = 5.12e-5  ->  plug half-width y0 = tau_0/G = 25.6 = 0.40 H\n",
       "#     m_reg  = 2000     (Papanastasiou stress-growth exponent; m*tau_0 ~ 0.10,\n",
       "#                        so the regularized plug viscosity plateau ~ 0.15 stays\n",
       "#                        below the clip nu_max = 0.45)\n",
       "#   ->  plug velocity u = G/(2 mu_p)(H - y0)^2 = 0.0295  ->  Ma = 0.051 < 0.1\n",
       "#   The plug spans |y| < 25.6 (~51 nodes) and the yielded shear layers ~38 nodes\n",
       "#   each side, both well resolved.\n",
       "#\n",
       "# Reference profile: reference/bingham_channel.csv (Chhabra & Richardson 2008).\n",
       "\n",
       "simulations:\n",
       "  - name: binghamChannel2D\n",
       "    save_path: ./validation/rheology/02_yield_stress_channel/results/bingham_2d\n",
       "\n",
       "    n_steps: 250000\n",
       "\n",
       "    report:\n",
       "      frequency: 25000\n",
       "\n",
       "    domain:\n",
       "      domain_size:\n",
       "        x: 32\n",
       "        y: 128\n",
       "      block_size: 8\n",
       "\n",
       "    data:\n",
       "      monitors:\n",
       "        fields:\n",
       "          macrs_stats:\n",
       "            macrs: [rho, u, S]\n",
       "            stats: [min, max, mean]\n",
       "            interval: {frequency: 1000}\n",
       "      exports:\n",
       "        default:\n",
       "          macrs: [rho, u, S]\n",
       "          interval:\n",
       "            frequency: 25000\n",
       "            lvl: 0\n",
       "          target:\n",
       "            volumes:\n",
       "              default: {}\n",
       "          outputs:\n",
       "            instantaneous: true\n",
       "        profile_series:\n",
       "          macrs: [rho, u, S]\n",
       "          interval: {frequency: 12500, lvl: 0}\n",
       "          target:\n",
       "            lines:\n",
       "              velocity_profile:\n",
       "                dist: 1\n",
       "                start_pos: [16, 0]\n",
       "                end_pos: [16, 128]\n",
       "          outputs:\n",
       "            instantaneous: true\n",
       "\n",
       "    models:\n",
       "      precision:\n",
       "        default: single\n",
       "\n",
       "      LBM:\n",
       "        tau: 0.65\n",
       "        vel_set: D2Q9\n",
       "        coll_oper: RRBGK\n",
       "        F:\n",
       "          x: 2.0e-6\n",
       "          y: 0\n",
       "\n",
       "      rheology:\n",
       "        model: herschel_bulkley\n",
       "        params:\n",
       "          K: 0.05\n",
       "          n: 1.0\n",
       "          tau_0: 5.12e-5\n",
       "          m_reg: 40000\n",
       "          nu_min: 1.0e-6\n",
       "          nu_max: 3.0\n",
       "\n",
       "      engine:\n",
       "        name: CUDA\n",
       "\n",
       "      BC:\n",
       "        periodic_dims: [true, false]\n",
       "        BC_map:\n",
       "          - pos: N\n",
       "            BC: HWBB\n",
       "            wall_normal: N\n",
       "          - pos: S\n",
       "            BC: HWBB\n",
       "            wall_normal: S\n",
       "
\n" ], "text/latex": [ "\\begin{Verbatim}[commandchars=\\\\\\{\\}]\n", "\\PY{c+c1}{\\PYZsh{} 02\\PYZus{}bingham\\PYZus{}channel (single\\PYZhy{}block, 2D, D2Q9)}\n", "\\PY{c+c1}{\\PYZsh{}}\n", "\\PY{c+c1}{\\PYZsh{} Validates the yield\\PYZhy{}stress branch of the generalized\\PYZhy{}Newtonian model}\n", "\\PY{c+c1}{\\PYZsh{} (models.rheology, model=herschel\\PYZus{}bulkley with n = 1 \\PYZhy{}\\PYZgt{} Bingham plastic) on a}\n", "\\PY{c+c1}{\\PYZsh{} body\\PYZhy{}force\\PYZhy{}driven plane channel: streamwise\\PYZhy{}periodic, no\\PYZhy{}slip HWBB walls (N/S),}\n", "\\PY{c+c1}{\\PYZsh{} uniform body force F\\PYZus{}x = G. The Papanastasiou\\PYZhy{}regularized apparent viscosity}\n", "\\PY{c+c1}{\\PYZsh{} eta = K gammadot\\PYZca{}(n\\PYZhy{}1) + tau\\PYZus{}0 (1 \\PYZhy{} exp(\\PYZhy{}m gammadot)) / gammadot reproduces the}\n", "\\PY{c+c1}{\\PYZsh{} unyielded central PLUG of half\\PYZhy{}width y0 = tau\\PYZus{}0 / G.}\n", "\\PY{c+c1}{\\PYZsh{}}\n", "\\PY{c+c1}{\\PYZsh{} Analytical solution (theory chapter T3, rheo\\PYZus{}t3; plain text):}\n", "\\PY{c+c1}{\\PYZsh{}}\n", "\\PY{c+c1}{\\PYZsh{} |y| \\PYZlt{}= y0 : u = G/(2 mu\\PYZus{}p) (H \\PYZhy{} y0)\\PYZca{}2 (plug)}\n", "\\PY{c+c1}{\\PYZsh{} y0\\PYZlt{}|y|\\PYZlt{}=H : u = 1/mu\\PYZus{}p [ G/2 (H\\PYZca{}2 \\PYZhy{} y\\PYZca{}2) \\PYZhy{} tau\\PYZus{}0 (H \\PYZhy{} |y|) ]}\n", "\\PY{c+c1}{\\PYZsh{}}\n", "\\PY{c+c1}{\\PYZsh{} with y0 = tau\\PYZus{}0 / G, walls at y = +/\\PYZhy{} H (H = 64, domain\\PYZus{}size.y = 128).}\n", "\\PY{c+c1}{\\PYZsh{}}\n", "\\PY{c+c1}{\\PYZsh{} Lattice\\PYZhy{}unit reasoning:}\n", "\\PY{c+c1}{\\PYZsh{} n = 1 (Bingham: K = mu\\PYZus{}p is the plastic viscosity)}\n", "\\PY{c+c1}{\\PYZsh{} mu\\PYZus{}p = 0.05 (tau baseline = 0.5 + 3*mu\\PYZus{}p = 0.65)}\n", "\\PY{c+c1}{\\PYZsh{} G = 2.0e\\PYZhy{}6}\n", "\\PY{c+c1}{\\PYZsh{} tau\\PYZus{}0 = 5.12e\\PYZhy{}5 \\PYZhy{}\\PYZgt{} plug half\\PYZhy{}width y0 = tau\\PYZus{}0/G = 25.6 = 0.40 H}\n", "\\PY{c+c1}{\\PYZsh{} m\\PYZus{}reg = 2000 (Papanastasiou stress\\PYZhy{}growth exponent; m*tau\\PYZus{}0 \\PYZti{} 0.10,}\n", "\\PY{c+c1}{\\PYZsh{} so the regularized plug viscosity plateau \\PYZti{} 0.15 stays}\n", "\\PY{c+c1}{\\PYZsh{} below the clip nu\\PYZus{}max = 0.45)}\n", "\\PY{c+c1}{\\PYZsh{} \\PYZhy{}\\PYZgt{} plug velocity u = G/(2 mu\\PYZus{}p)(H \\PYZhy{} y0)\\PYZca{}2 = 0.0295 \\PYZhy{}\\PYZgt{} Ma = 0.051 \\PYZlt{} 0.1}\n", "\\PY{c+c1}{\\PYZsh{} The plug spans |y| \\PYZlt{} 25.6 (\\PYZti{}51 nodes) and the yielded shear layers \\PYZti{}38 nodes}\n", "\\PY{c+c1}{\\PYZsh{} each side, both well resolved.}\n", "\\PY{c+c1}{\\PYZsh{}}\n", "\\PY{c+c1}{\\PYZsh{} 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(N/S),\n", "# uniform body force F_x = G. The Papanastasiou-regularized apparent viscosity\n", "# eta = K gammadot^(n-1) + tau_0 (1 - exp(-m gammadot)) / gammadot reproduces the\n", "# unyielded central PLUG of half-width y0 = tau_0 / G.\n", "#\n", "# Analytical solution (theory chapter T3, rheo_t3; plain text):\n", "#\n", "# |y| <= y0 : u = G/(2 mu_p) (H - y0)^2 (plug)\n", "# y0<|y|<=H : u = 1/mu_p [ G/2 (H^2 - y^2) - tau_0 (H - |y|) ]\n", "#\n", "# with y0 = tau_0 / G, walls at y = +/- H (H = 64, domain_size.y = 128).\n", "#\n", "# Lattice-unit reasoning:\n", "# n = 1 (Bingham: K = mu_p is the plastic viscosity)\n", "# mu_p = 0.05 (tau baseline = 0.5 + 3*mu_p = 0.65)\n", "# G = 2.0e-6\n", "# tau_0 = 5.12e-5 -> plug half-width y0 = tau_0/G = 25.6 = 0.40 H\n", "# m_reg = 2000 (Papanastasiou stress-growth exponent; m*tau_0 ~ 0.10,\n", "# so the regularized plug viscosity plateau ~ 0.15 stays\n", "# below the clip nu_max = 0.45)\n", "# -> plug velocity u = G/(2 mu_p)(H - y0)^2 = 0.0295 -> Ma = 0.051 < 0.1\n", "# The plug spans |y| < 25.6 (~51 nodes) and the yielded shear layers ~38 nodes\n", "# each side, both well resolved.\n", "#\n", "# Reference profile: reference/bingham_channel.csv (Chhabra & Richardson 2008).\n", "\n", "simulations:\n", " - name: binghamChannel2D\n", " save_path: ./validation/rheology/02_yield_stress_channel/results/bingham_2d\n", "\n", " n_steps: 250000\n", "\n", " report:\n", " frequency: 25000\n", "\n", " domain:\n", " domain_size:\n", " x: 32\n", " y: 128\n", " block_size: 8\n", "\n", " data:\n", " monitors:\n", " fields:\n", " macrs_stats:\n", " macrs: [rho, u, S]\n", " stats: [min, max, mean]\n", " interval: {frequency: 1000}\n", " exports:\n", " default:\n", " macrs: [rho, u, S]\n", " interval:\n", " frequency: 25000\n", " lvl: 0\n", " target:\n", " volumes:\n", " default: {}\n", " outputs:\n", " instantaneous: true\n", " profile_series:\n", " macrs: [rho, u, S]\n", " interval: {frequency: 12500, lvl: 0}\n", " target:\n", " lines:\n", " velocity_profile:\n", " dist: 1\n", " start_pos: [16, 0]\n", " end_pos: [16, 128]\n", " outputs:\n", " instantaneous: true\n", "\n", " models:\n", " precision:\n", " default: single\n", "\n", " LBM:\n", " tau: 0.65\n", " vel_set: D2Q9\n", " coll_oper: RRBGK\n", " F:\n", " x: 2.0e-6\n", " y: 0\n", "\n", " rheology:\n", " model: herschel_bulkley\n", " params:\n", " K: 0.05\n", " n: 1.0\n", " tau_0: 5.12e-5\n", " m_reg: 40000\n", " nu_min: 1.0e-6\n", " nu_max: 3.0\n", "\n", " engine:\n", " name: CUDA\n", "\n", " BC:\n", " periodic_dims: [true, false]\n", " BC_map:\n", " - pos: N\n", " BC: HWBB\n", " wall_normal: N\n", " - pos: S\n", " BC: HWBB\n", " wall_normal: S" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from IPython.display import Code\n", "\n", "Code(filename=filename)" ] } ], "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": "3.12.13" } }, "nbformat": 4, "nbformat_minor": 5 }