{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "%matplotlib ipympl\n", "import pyvisco as visco\n", "from pyvisco import styles\n", "styles.format_fig()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "***\n", "# Verification - Comparison with APDL 2021 R1" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Master curve in frequency domain" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "#Load user master curve in frequency domain and user shift factors\n", "data = visco.load.file('./freq_master/freq_user_master.csv')\n", "shift = visco.load.file('./freq_master/freq_user_master__shift_factors.csv')\n", "RefT = -5\n", "domain = 'freq'\n", "modul = 'E'\n", "df_master, units = visco.load.user_master(data, domain, RefT, modul)\n", "df_aT = visco.load.user_shift(shift)" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "msg = (\"Storage modulus ('{0}_stor') and \" \n", " + \"loss modulus('{0}_loss') must have same unit!\")" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Storage modulus ('{0}_stor') and loss modulus('{0}_loss') must have same unit!\n" ] } ], "source": [ "print(msg)" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "d825d4f8067c4bbfa6aa3ed5c9173702", "version_major": 2, "version_minor": 0 }, "image/png": "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", "text/html": [ "\n", "
\n", "
\n", " Figure\n", "
\n", " \n", "
\n", " " ], "text/plain": [ "Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#Shift functions\n", "df_WLF = visco.shift.fit_WLF(df_master.RefT, df_aT)\n", "df_poly_C, df_poly_K = visco.shift.fit_poly(df_aT)\n", "\n", "fig_shift, df_shift = visco.shift.plot(df_aT, df_WLF, df_poly_C)" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "a5264c2b50144236b391582579b17f2a", "version_major": 2, "version_minor": 0 }, "image/png": "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", "text/html": [ "\n", "
\n", "
\n", " Figure\n", "
\n", " \n", "
\n", " " ], "text/plain": [ "Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#Smooth master curve\n", "win = 5\n", "df_master = visco.master.smooth(df_master, win)\n", "fig_smooth = visco.master.plot_smooth(df_master, units)" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "7ff16f10e2374c0794091622c7a2b43a", "version_major": 2, "version_minor": 0 }, "image/png": "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", "text/html": [ "\n", "
\n", "
\n", " Figure\n", "
\n", " \n", "
\n", " " ], "text/plain": [ "Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#Discretize number of Prony terms\n", "df_dis = visco.prony.discretize(df_master)\n", "fig_dis = visco.prony.plot_dis(df_master, df_dis, units)" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "b9b94af5866f4733a49b7caf2bbc6fb5", "version_major": 2, "version_minor": 0 }, "image/png": "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", "text/html": [ "\n", "
\n", "
\n", " Figure\n", "
\n", " \n", "
\n", " " ], "text/plain": [ "Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#Fit Prony series parameter\n", "prony, df_GMaxw = visco.prony.fit(df_dis)\n", "fig_fit = visco.prony.plot_fit(df_master, df_GMaxw, units)" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "5142ab5f8c7a4ae49e213a8a23e84662", "version_major": 2, "version_minor": 0 }, "image/png": "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", "text/html": [ "\n", "
\n", "
\n", " Figure\n", "
\n", " \n", "
\n", " " ], "text/plain": [ "Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#Plot Generalized Maxwell model\n", "fig_GMaxw = visco.prony.plot_GMaxw(df_GMaxw, units);" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "b10196f405394bf293304bf799cf7985", "version_major": 2, "version_minor": 0 }, "image/png": "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", "text/html": [ "\n", "
\n", "
\n", " Figure\n", "
\n", " \n", "
\n", " " ], "text/plain": [ "Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#Compare Python fit with ANSYS APDL\n", "df_prony_ANSYS = visco.verify.load_prony_ANSYS('./freq_master/prony_terms.MPL')\n", "prony_ANSYS = visco.verify.prep_prony_ANSYS(df_prony_ANSYS, prony)\n", "nprony = prony_ANSYS['df_terms'].shape[0]\n", "df_GMaxw_ANSYS = visco.prony.calc_GMaxw(**prony_ANSYS, decades = nprony)\n", "fig_fit_ANSYS = visco.verify.plot_fit_ANSYS(df_master, df_GMaxw, df_GMaxw_ANSYS, units)" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "127540125e9547fb8950d157300e8fad", "version_major": 2, "version_minor": 0 }, "image/png": "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", "text/html": [ "\n", "
\n", "
\n", " Figure\n", "
\n", " \n", "
\n", " " ], "text/plain": [ "Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig_coeff = visco.prony.plot_param([prony, prony_ANSYS], ['Python', 'Ansys'])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Optional optimization of number of Prony terms" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Prony series N = 24: Convergence criterion reached!\n", "Prony series N = 22: Convergence criterion reached!\n", "Prony series N = 20: Convergence criterion reached!\n", "Prony series N = 19: Convergence criterion reached!\n", "Prony series N = 18: Convergence criterion reached!\n", "Prony series N = 17: Convergence criterion reached!\n", "Prony series N = 16: Convergence criterion reached!\n", "Prony series N = 15: Convergence criterion reached!\n", "Prony series N = 14: Convergence criterion reached!\n", "Prony series N = 13: Convergence criterion reached!\n", "Prony series N = 12: Convergence criterion reached!\n", "Prony series N = 11: Convergence criterion reached!\n", "Prony series N = 10: Convergence criterion reached!\n", "Prony series N = 09: Convergence criterion reached!\n", "Prony series N = 08: Convergence criterion reached!\n", "Prony series N = 07: Convergence criterion reached!\n", "Prony series N = 06: Convergence criterion reached!\n", "Prony series N = 05: Convergence criterion reached!\n", "Prony series N = 04: Convergence criterion reached!\n", "Prony series N = 03: Convergence criterion reached!\n" ] }, { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "cc3dea3fce204e68bbf8c48e4295926d", "version_major": 2, "version_minor": 0 }, "image/png": "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", "text/html": [ "\n", "
\n", "
\n", " Figure\n", "
\n", " \n", "
\n", " " ], "text/plain": [ "Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "6543b2fd397049b19d93fa5e35323f19", "version_major": 2, "version_minor": 0 }, "image/png": "iVBORw0KGgoAAAANSUhEUgAAAZAAAAEsCAYAAADtt+XCAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjQuMywgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/MnkTPAAAACXBIWXMAAA9hAAAPYQGoP6dpAABV3ElEQVR4nO2de1wU5f7HP7Pc77srICAgIYJ44aKWaWpq1inNRDiaUaam5AWvaWVeQk1J89ipk2ZWXo6lmR34WWZ5txIzLySKeN2Qm7gqCLsgt708vz88zHHltrM7u8Myz/v1mpfs7Mwzn8/3Gee7zzMzz8MQQggoFAqFQuGIRGgBFAqFQrFNaAKhUCgUiknQBEKhUCgUk6AJhEKhUCgm0eoSiEajwYwZMyCXyyGXyzFz5kxotdoG29XW1iIpKQmPPPIIPDw80KVLF2zevNlgmwkTJsDR0RHu7u7scuLECWtZoVAolDZNq0sgK1asQEZGBnJycpCTk4Njx44hNTW1wXZarRb+/v44dOgQ1Go1tm7dinnz5uHAgQMG202fPh2VlZXs0rdvX2tZoVAolDZNq0sgmzdvxuLFi+Hv7w9/f38sWrQImzZtarCdm5sbli9fjk6dOoFhGDz++OMYPHgwMjIyBFBNoVAo4sNeaAEPUlZWhqKiIsTExLDrYmJiUFBQAJVKBS8vryb3rampwalTp5CYmGiwftu2bdi2bRv8/f3x2muvYe7cuZBIGuZNvV6PvLw8ODg4gGEYdr2TkxOcnJzMN0ehUCitGEIIKioqEBAQ0Og1sqmdWg0FBQUEALlz5w677vbt2wQAKSwsbHI/vV5PXn75ZTJo0CCi0+nY9ZmZmeT27dtEq9WSEydOkKCgIPLhhx82WkZhYSEBQBe60IUuol6au9Y+TKtqgbi7uwMAVCoVvL292b8BwMPDo9F9CCGYNm0arly5gkOHDhlkzp49e7J/P/7441iwYAG2bduGuXPnNiinvvyLFy8aHEtMLZCamho4OzsLLUMwqH9x+wfEHQO1Wo2goKAmr7WN0aoSiEwmQ2BgILKystCpUycAQFZWFoKCghrtviKEIDk5GadOncLhw4eb7eIC0GyzrL7bqkOHDvD09DTDhe1SVFSErl27Ci3DgAsXLkClUuGJJ56w+LFao39rInb/AI0BAIMu/JZodTfRJ06ciJUrV0KpVEKpVCI1NRWTJ09udNsZM2bg+PHjOHjwIGQyWYPvd+3aBbVaDUIIzpw5g1WrViEhIcHSFmwWvV4vtIQGrF27FvPmzbPKsVqjf2sidv8AjQFnjO7sshJ1dXVk+vTpRCqVEqlUSpKTk4lGoyGEEDJlyhQyZcoUQggheXl5BABxcnIibm5u7FL/PSGEDBgwgHh5eRE3NzcSHh5OVq9ebXCP5EFUKhUBQFQqleVNtlLq6uqEltCARYsWkcDAQKscqzX6tyZi90+IuGNgyjWQIYSOxgvc7//z8vKCSqUSbRfWhQsX0L17d6FlGLBhwwbMnDkTtbW1sLOzs9hxCgoK8McffyAsLMxix2jtKBQKUfsHxBMDb29vBAcHG6wz5RrYqu6BUCgPU1BQAJ1OBzc3N0RERCAlJQXx8fG8HyMyMhJVVVW8lkuhtFZcXV1x6dKlBkmEKzSBUFgiIiKElmBAeno6Vq1aBeD+0DXZ2dlISEhAWloar0mkpKQEVVVV+PrrrxEZGclbuRRKa+TSpUt45ZVXUFJSQhMIhT+uXLnSqrqwli1bBoZhUN/LSggBwzBYvnw5760QAIiMjDR49JtCoTRPq3sKi0Kp5+rVq3j4Fh0hBFeuXBFIEYVCeRCaQCgsra0LKzw8vMEz6QzDtDqdFIpYoQmEwtLaftmnpKQYtEDqu7NSUlIEVEWhmE63bt3w448/Nvl9TEwMtm7dysuxBg0ahI8++oiXspqCJhAKi9EDqFmJ+Ph4pKWlISgoCMD9/3zp6ekYNWqUwMqExxoXhwfJy8sDwzAoLy+32jHbIjk5OXj++eeFlsEb9CY6hSU0NFRoCQ2Ij49HWFgYoqOjsWHDBvTv319oSZRWjlarhb29ZS5tOp0OEomE03AfbZnW9ZOTIigKhUJoCY0SGRkJJycnnDt3TmgpzZKeno7o6Gi4uLggOjoa6enpguj466+/MGLECPj4+KBjx45YsWIFO0RHQUEBnn76afj4+EAmk2H48OHIy8tj9z148CCioqLg4eGB9u3bY9q0aQCAxx57DAAQGBgId3d3bN++vcFx7969i1GjRkEul0MqlaJXr17Iz88HAJSXl2PMmDGQSqXo0qUL/vWvfxlchENCQrB792728+7duxESEsJ+/vDDD9G5c2d4eHigU6dOWLduHftdfetoy5YtCAsLQ4cOHQAAf/75JwYPHgy5XI6wsDB88cUX7D5//vknHn/8cXh6esLb2xsjRoxoMp4Mw2DdunXo3r07XF1dUVlZ2WyMr1+/jqFDh8LLywtyuRxPPPEE+47Rwz7XrVuHoKAgtGvXDosWLTI47tKlSxEXF2ewTiqV4pdffgEAnD17Fv3794dcLoePjw9eeukllJaWNunDEtAEQmGx1K82c3FwcMBff/2F6dOnCy2lSdLT05GQkIDs7GzU1NSw76xYO4lUV1fjqaeewpAhQ3Djxg0cO3YMO3fuxJYtWwDcH+vpjTfeQGFhIfLz8+Hq6oqkpCR2//Hjx+PNN99ERUUFcnNzMW7cOADAqVOnANwfbLCyshIvv/xyg2P/4x//gFarRVFREUpLS7Fp0yZ2ZNdZs2ahvLwceXl5OHLkCLZt28bJV8eOHXHkyBGo1Wp8+eWXePPNN3H8+HGDbX744QecOXMG169fh1KpxNNPP41p06bhzp072L17N1JSUnD48GEA98fRGzFiBMrLy3Hjxg28+eabzR5/x44dOHDgANRqNSQSSbMxXrRoEcLCwlBSUoJbt25hzZo1jf7fOnLkCBYtWoRdu3bh5s2bAO6PBmEsEokEq1atwq1bt3DhwgXcuHEDCxYsMHp/PmidVwyKIJj7UpElqf9VaU1u3rzJ/seuRyaT4ZFHHkFNTQ0uXrzIrl+wYEGj76y888477C/pkJAQyOVy3LlzB4WFhQblenh4oHPnzmZr/vHHHyGTydgpC4KDgzF79mzs2LEDkyZNQkhICKvH2dkZixYtQp8+faDX6yGRSODg4ACFQoE7d+7Ax8cH/fr1M/rYDg4OKC0txbVr1xAdHc1ODKfT6fDtt9/i2LFjkEqlkEqlePPNNzF27Fijy35wENTBgwfjb3/7G3755ReDUZpTUlIglUoBAOvXr8fAgQMxZswYAED37t0xceJE7NixA0899RQcHByQn5+P4uJiBAYGYuDAgc0e/6233kJAQACA+4mquRg7ODjg5s2byMvLQ+fOnZuM4fbt2/Hyyy+z02wvXbrUoGXVEtHR0ezf7du3xxtvvNFiIuQb2gKhsOTm5gotoUmOHj2KPn36oLa21mrH3LhxI3r16mWwLFmyBMD9X+IPrr927Vqj76xcvXqV3eann34CcH+U6IfLnTFjBi+a8/LycOHCBfZCLZVKMW/ePCiVSgDAnTt3kJiYiKCgIHh6emLgwIGoq6tDRUUFAOD//u//cOHCBURERCA2Nha7du0y+thvvvkmBgwYgDFjxsDPzw+zZ89GdXU1SkpKUFdXh44dO7LbPvi3MWzfvh09e/aETCaDVCrFTz/9hJKSEoNtHvwBlJeXh59++skgDv/617/YHwSbN29GTU0NevXqhS5durR44X647OZivGbNGnTo0AFDhw5FSEgIli5d2ugov8XFxQZxcHBwgL+/v9ExUSgUGDlyJAICAuDp6cm+XW5NaAuEwtKaJ85ydnbGqVOnkJOTY7W3xadMmYIXXnjBYF39tAGBgYHIzMxk148dOxYKhaLBY8edO3fGN998AwDsL/8xY8awvzrr4TKJT3MEBQWhV69e+OOPPxr9/p133kFVVRX+/PNP+Pj4ICsrC7Gxsazunj17Ii0tDXq9Hrt378aYMWPw5JNPGvWEnru7O1avXo3Vq1fj+vXrGDFiBD799FPMmTOH/cXfvn17APfvxTy874NjkT3Y8isoKMD48eOxb98+DBo0CPb29oiLi2uQsB/UGBQUhFGjRmHnzp2Nau3UqRO2bdsGQgiOHz+OoUOHom/fvujVq1ej2z9cdnMx9vX1xaeffgrgfpfU0KFD0aNHjwZTSQQEBLD3iABAo9EY+H44JlVVVVCr1eznqVOnIjw8HP/+978hlUqxe/duTJgwoVFNloK2QCgsfn5+QktokqioKDAMg7Nnz1rtmP7+/ujZs6fB8sgjjwC4n9AeXL9q1Sq22wr43zsrq1atYreRy+UAAB8fnwblmtJ9pdVqUVNTwy61tbV4/vnncevWLXz66aeoqamBTqfDlStX2BuvarUarq6ukEqlKC0txbJly9jy6urq8NVXX6GsrAwSiYTtDrK3t4ePjw8kEgn++uuvJvX8+OOPuHr1KvR6PTw9PeHg4AB7e3vY2dlhzJgxePfdd1FeXo7i4mKsWbPGYN+ePXvim2++QU1NDXJzc7F+/Xr2u8rKShBC4OvrC4lEgp9++gkHDhxoNjbjxo3DkSNHkJaWBo1GA41Gg6ysLJw+fRoAsG3bNty6dQsMw0Amk0EikRh9D7ClGO/atQsFBQUghMDLywt2dnaNlv3SSy9h+/btOHnyJOrq6rB8+XLcu3fPICYnTpzA5cuXUVNTg3feecfgwQO1Wg0PDw94enqisLCwQUytAU0gFJYHfw21NupH47VmAuFC/TsrUVFRcHZ2RlRUlMXfWXnzzTfh4uLCLhEREXB3d8ehQ4dw+PBhhISEoF27dkhMTGS7V5YtWwaFQgGZTIYnnngCzz33nEGZO3bsQFhYGDw8PDBz5kzs2LED7dq1g4uLC1JSUvDcc89BKpVix44dDfQoFAo8++yz8PDwQNeuXdG3b1/2Ka5PPvkE7u7u6NixI4YMGcLenK9nxYoVKC8vh4+PDxITE/Hqq6+y33Xt2hWLFi3CkCFD0K5dO3z77bcNWoYP06FDB+zfvx8bN26Ev78/2rdvj+TkZPYX/KFDhxAdHQ13d3e88MILWLNmjcE9heZoKcaZmZno168f3N3d0bdvX0yaNKlRvUOHDsV7772HhIQE+Pv7Q6/XG4xFN2TIEEyZMgX9+vVDWFgYevToYdBS/fDDD/Hjjz/C09MTI0eOFGSyPDofyH+h84Hcf/yzfirh1khiYiLy8/MbPH1jLn/++Sd69eqFzMxMOpiilXi464xiPZo63+l8IBSz8Pb2FlpCs8ybN8+qN9EpFErz0ARCYSksLISXl5fQMpqkqRucFApFGOg9EAqLu7u70BKaRa/XY/ny5Th27JjQUihmEhMTQ7uv2gC0BUJhae33fiQSCTZt2oR79+5hwIABQsuhUEQPbYFQWIqLi4WW0CKxsbH4888/hZZBoVBAEwjlAVp7CwS4n0DOnj1Luz8olFYA7cKisLi6ugotoUViY2NRWlqKoqIidp4Qvrh06RKv5VEorRE+z3OaQCgsSqWy1T/K+9hjj+GNN97gdT4Gb29vuLq64pVXXuGtTAqlNePq6srL/3X6IuF/oS8SAjdu3BBk1NvWQEFBAS5evAhfX1+hpQjG7du3Re0fEE8MvL29G4y+TV8kpJiFg4OD0BKM4urVq8jPz8fTTz/NW5nBwcFwdnYWxcWjKcRy8WwOGgNu0JvoFJbbt28LLcEovvzyS0yePJn3cm3Fv6UQu3+AxoArNIFQWNq1aye0BKOIjY1FQUEB79N32op/SyF2/wCNAVdoAqHYHLGxsQDQakfmpVDEAk0gFBa+f9Fbis6dO8PV1ZX3BGIr/i2F2P0DNAZcoQmEwmIrNw/t7OwwcuRIODs781qurfi3FGL3D9AYcIU+hUVh0Wg0QkswmsYmNDIXW/JvCcTuH6Ax4AptgVBYysrKhJbAiTt37qCuro638mzNP9+I3T9AY8AVmkAoLK15TvSHOXfuHHx9fZGZmclbmbbk3xKI3T9AY8AVmkAoLFVVVUJLMJouXbrA3t6e1xvptuTfEojdP0BjwBWaQCgsarVaaAlG4+TkhG7duvGaQGzJvyUQu3+AxoArTSYQjUaDtWvXYtasWThw4IDBd2+//bbFhVGsT0BAgNASOFE/tDtf2Jp/vhG7f4DGgCtNJpDk5GRkZmYiJCQE8+fPx7x589jvDh48aBVxFOtia7++YmNjkZeXB51Ox0t5tuafb8TuH6Ax4EqTCeTkyZPYsWMH3njjDZw6dQo3btzA+PHjodfrLTqZj0ajwYwZMyCXyyGXyzFz5kxotdoG29XW1iIpKQmPPPIIPDw80KVLF2zevNmksij3qaysFFoCJ15//XXcunULdnZ2vJRna/75Ruz+ARoDrjTbhVWPs7MzvvnmG7i5uWHUqFG8Pjr5MCtWrEBGRgZycnKQk5ODY8eOITU1tcF2Wq0W/v7+OHToENRqNbZu3Yp58+YZdLcZWxblPnxP0GRpnJ2deUsegO355xux+wdoDDhDmuC5554jx44da7D+zTffJBKJpKndzCYwMJB899137Oddu3aR4OBgo/YdNWoUWbJkiUllqVQqAoCoVCoTlds+CoVCaAmcefHFF8mCBQt4KcsW/fOJ2P0TIu4YmHINbLIF8vXXX6Nbt24N1n/wwQfIzs62SDIrKytDUVERYmJi2HUxMTEoKCiASqVqdt+amhqcOnUKUVFRZpWlVqsNltraWrM82RLV1dVCS+CMXq/H77//zktZtuifT8TuH6Ax4EqTQ5nI5fImd+ratatFxNT3P0qlUnZd/d8VFRXw8vJqdD9CCCZPnozOnTsjPj7erLIebsLOnz8fc+bMQVlZGfz8/FBVVQW1Wo2AgACo1WpUVlYiKCgIJSUlqK6uRseOHaFUKlFbW4vQ0FAUFBRAq9UiLCwMubm50Ov1iIiIwJUrVwCg0b8lEglCQ0OhUChgb2+P4OBg5ObmwsnJCX5+fsjPz4eLiwu8vb1RWFgId3d3eHp6ori4GJ6ennB1dYVSqYRMJoODgwNu377NDlNdWloKX19faDSaBp6kUiny8vJsylNYWBh+/vlnKJVK6HQ6s+qprq4ONTU1gntqqZ4sde7V1dXh4sWLbcoT13qqq6tDXl5em/JkbD05Ojo2ek1sDqOmtH3hhRc4FwwAH330EUJDQ43evqysDHK5HAqFAp06dQIAKBQKdO7cGeXl5Y1e9AkhmDZtGjIzM3Ho0CF2G65l1U/nWFhYaDCdo5OTE5ycnDh7t0WuXbuGzp07Cy2DE/v27cNzzz1nUM+mYov++UTs/gFxx8CUKW2NepHwxx9/xI0bN1BRUWHUolarsXfvXpSXl3MyIJPJEBgYiKysLHZdVlYWgoKCmkweycnJOHXqFA4cOGCwDdey6vH09DRYxJI8ANhkdx2fc4PYon8+Ebt/gMaAK0aPxrthwwY89thjRm2r1WpNag4BwMSJE7Fy5Uo88cQTAIDU1NQmpy+dMWMGjh8/jiNHjkAmk5lVFgWcWouthfbt2+Po0aNsIjEHW/TPJ2L3D9AYcMaYO+0LFiwgRUVFRt+Z1+v1ZMGCBaS4uNjofeqpq6sj06dPJ1KplEilUpKcnEw0Gg0hhJApU6aQKVOmEEIIycvLIwCIk5MTcXNzY5f671sq62HoU1iEXLp0SWgJgkL9i9s/IeKOgSnXQKPugbTE1atXER4ebnYyExJT+v/aGhcuXED37t2FlsGZ3377Ddu2bcOXX35pVjm26p8vxO4fEHcMLHYPpCVGjx6NBQsW0JEsbZywsDChJZhESUkJNm3ahJs3b5pVjq365wux+wdoDLjCSwI5c+YMvLy80LNnT+zatYuPIikCkJubK7QEk+DrRrqt+ucLsfsHaAy4wksCcXBwwDvvvIODBw9i586deOqpp3Dx4kU+iqZYEb1eL7QEkwgJCYFUKjU7gdiqf74Qu3+AxoArvM0HcvPmTZw5cwZhYWHIzs5G79698fbbb1t03CwKv0RERAgtwSQYhkFMTIzZCcRW/fOF2P0DNAZc4SWBBAcHo2/fvvjPf/6Djh074uDBg7h79y48PT0xevRoPg5BsQL1b7vaIrNmzUJiYqJZZdiyfz4Qu3+AxoArRr8H0hwZGRkIDg5usH7RokXo0aMHH4egUJpl1KhRQkugUEQHby2QpvoO09PT+TgExQrYcvO9trYWX331Fa5du2ZyGbbsnw/E7h+gMeAKLwlk9uzZ8PT0hI+PD4YMGYL58+djx44dACDacWVsEVtuvtvZ2eH111/H3r17TS7Dlv3zgdj9AzQGXOElgfznP//BrVu3UFRUhFWrViEsLAy//vorH0VTKEZhb2+PqKgoXudIp1AozcPLPZDo6Gi4urqCYRg89thjRo+ZRWld2HrzPTY2FsePHzd5f1v3by5i9w/QGHCFlxZIZGQkpk6dirKyMj6KowiErTffY2NjcenSJZMnBbJ1/+Yidv8AjQFXeGmB3Lt3D+fOnUNISAg6duyI3r17o1evXkhOTuajeIqVkEh4ey1IEB5//HG88MILUKlUcHFx4by/rfs3F7H7B2gMuMLLYIr1EEJw5coVZGVl4dy5c3j//ff5Ktri0MEU708L7OzsLLQMwaD+xe0fEHcMBBtM8UG6dOmCsWPH2lTyoNxHoVAILcFsysvLTX6Uty34Nwex+wdoDLjCSwI5ePAgOnToAHd3d/Ts2RPffPMNH8VSrIy9PS89moIyc+ZMjBs3zqR924J/cxC7f4DGgCu8JJD58+fj0KFDqKysxNatW7Fp0yZ89tlnfBRNsSKNjSZga8TGxuL8+fPQ6XSc920L/s1B7P4BGgOu8JJA6urqEBkZCYZhEBUVhe+//x7r1q3jo2iKFWkLQ1nHxsaiurrapKdp2oJ/cxC7f4DGgCu8JJCIiAjs27eP/ezm5sZHsRQr4+TkJLQEs4mJiQFg2twgbcG/OYjdP0BjwBVeOvw2bNiAESNG4LPPPkNUVBQuXLiAnj178lE0xYr4+fkJLcFsZDIZunTpgtu3b3Pety34Nwex+wdoDLhidgtEp9Nh/PjxOH36NF5//XW4ubkhISEBW7Zs4UMfxYrk5+cLLcFs0tPT4ejoiIULFyI6OprTYJ5twb85iN0/QGPAFbNbIHZ2dtBqtdDr9Rg2bBiGDRvGhy6KAJjy8l1rIj09HQkJCWAYBoQQZGdnIyEhAWlpaYiPj29xf1v3by5i9w/QGHCFt6FMxo0bh5KSEj6KowiEt7e30BLMYtmyZWzyAO6/2MowDJYvX27U/rbu31zE7h+gMeAKLwmEYRgUFBQgLCwMsbGxmDRpEtavX89H0RQrUlhYKLQEs7h69SoeHlihfnQEY7B1/+Yidv8AjQFXeLmJXv/ILiEE165dQ1ZWFh1W2wZxd3cXWoJZhIeHIzs72yCJMAxj9Airtu7fXMTuH6Ax4IpZCUSn0+GHH36ARqPBoEGD4Ovri/DwcISHh2PMmDF8aaRYCVsfAywlJcXgHghw/0dNSkqKUfvbun9zEbt/gMaAK2Z1Yb300ktYtGgRNm7ciOjoaNrqsHGKi4uFlmAW8fHxSEtLQ1RUFPs8/1tvvWX0fOm27t9cxO4foDHgilktkD///BOXL1+Gvb09MjIysHTpUnz//fd8aaNYmbbw6ys+Pp594urOnTvw8fExet+24N8cxO4foDHgilktEE9PT3bwsf79++PmzZu8iKIIg6urq9ASeMXHxweEEGi1WqO2b2v+uSJ2/wCNAVfMSiDXr1/H3LlzsWnTJpw8eRK1tbV86aIIgFKpFFoCr9y7dw8hISH49ttvjdq+rfnnitj9AzQGXDErgXzzzTfw9fXF/v378corryAnJwc9evTA+PHj8fHHH/OlkWIlZDKZ0BJ4xc3NDf7+/khLSzNq+7bmnyti9w/QGHDFqHsgS5YswezZsxu8ZPPss8/i2WefZT9XVFSwj/DSG+q2h4ODg9ASeCchIQEpKSm4d+9ei4N8tkX/XBC7f4DGgCtGtUBSU1MNhjkmhODzzz9HZWWlwXYeHh4YMGAAZs2aRcfCskFMGYCwtZOQkIDq6mr8/PPPLW7bFv1zQez+ARoDrhiVQB5+u1ev12PatGm4evWqwfoLFy4gLi6ON3EU69KuXTuhJfBOaGgoYmJi8Msvv7S4bVv0zwWx+wdoDLhi8mO8DycV4P5Nyz179pgliELhmwMHDtAxjigUC8DLWFiUtkFpaanQEiyCj48PGIZp8XHeturfWMTuH6Ax4IrRCYRhGEvqoLQCfH19hZZgMV566SW8/vrrzW7Tlv0bg9j9AzQGXDG6C2vq1Kno3bs3unfvji5duoBhGJpU2hgajUZoCRajU6dO+PTTT7Fx48Ymn7Rpy/6NQez+ARoDrhjVAlm4cCECAwNx4MABzJ49G3/7299ACMHw4cPxt7/9DfPmzcOWLVtw7tw5S+ulWJCysjKhJViMhIQElJWVNXszvS37Nwax+wdoDLhiVAJZsWIFvv/+e1y/fh3l5eX47bffsG7dOowYMQJqtRqff/45Jk2ahKlTp5otSKPRYMaMGZDL5ZDL5Zg5c2aTfdfr1q1D79694eTk1OjTXxMmTICjoyPc3d3Z5cSJE2ZrbKu05fmgY2JiEBIS0uxLhW3ZvzGI3T9AY8AVzk9heXp6on///ujfv7/BeoVCgXPnziE7O9ssQStWrEBGRgZycnIAAM899xxSU1Px7rvvNtg2ICAAixcvxqFDh1BUVNRoedOnT8dHH31kliaxUFVVJbQEi8EwDBISEvDjjz+yMxU+TFv2bwxi9w/QGHCFt6ewwsLCkJCQgKVLl5pVzubNm7F48WL4+/vD398fixYtwqZNmxrdNj4+HnFxcfQRTZ5Qq9VCS7Aoixcvxvnz55u8d9fW/beE2P0DNAZcaVWP8ZaVlaGoqAgxMTHsupiYGBQUFEClUplU5rZt2yCXy9GtWzesXbsWer2+2e3VarXBIqYBIgMCAoSWYFGkUikcHR2b7BJt6/5bQuz+ARoDrvAypS1f1A+NIpVK2XX1f1dUVMDLy4tTebNmzcKaNWsgl8tx+vRpjBkzBhKJBHPnzm1yn6CgIIPP8+fPx5w5c1BWVgY/Pz9UVVVBrVYjICAAarUalZWVCAoKQklJCaqrq9GxY0colUrU1tYiNDQUBQUF0Gq1CAsLQ25uLvR6PSIiIth5uhv7WyKRIDQ0FAqFAvb29ggODkZubi6cnJzg5+eH/Px8uLi4wNvbG4WFhXB3d4enpyeKi4vh6ekJV1dXKJVKyGQyODg44Pbt2+wbtqWlpfD19YVGo2ngiWGYNufp4Xr6+OOPsWnTJmRnZ+PWrVsGnkpLS9GrVy+b88RXPV26dAkymaxNeeJaT5cuXUKHDh3alCdj68nR0ZHT9RUAQFoRd+/eJQCIQqFg1127do0AIOXl5U3ul5KSQkaOHNli+evXryd9+vRp9DuVSkUAkMLCQqJSqdilpqaGsw9bJTs7W2gJFufIkSMEADl58mSD78TgvznE7p8Qcceg/hqoUqmM3sesLqy6ujqcP3/enCIMkMlkCAwMRFZWFrsuKysLQUFBnFsfjSGRtGzX09PTYKmfGlUMPNz6aosMGDAA3t7eSE9Pb/CdGPw3h9j9AzQGXDF7QqnY2Fi+tAAAJk6ciJUrV0KpVEKpVCI1NRWTJ09udFutVouamhpotVro9XrU1NSgrq6O/X7Xrl1Qq9UghODMmTNYtWoVEhISeNXbligpKRFagsWxt7dHXFwc0tLSGoznJgb/zSF2/wCNAVda1U104P7cI3379kVkZCQiIyPRr18/LFy4EMD9t+EffNdkxYoVcHFxwcqVK7Fnzx64uLjgmWeeYb9ft24dgoOD4eHhgZdffhnTp0/HvHnzrO7JVqiurhZaglVISEjA9evXcf36dYP1YvHfFGL3D9AYcIUhD/8M48CVK1fQtWtX6HQ6PjUJglqthpeXF1QqFTw9PYWWIwgVFRXw8PAQWobF0Wg0qKiogFwuN1gvFv9NIXb/gLhjYMo1sNW1QCjCIZb5oB0cHCCXyxs8zisW/00hdv8AjQFXaAKhsIjpnZezZ8+iffv27OORgLj8N4bY/QM0BlyhCYTCEhoaKrQEq9GlSxfU1tYaPI0lJv+NIXb/AI0BV2gCobAUFBQILcFquLi4YNiwYQaDK4rJf2OI3T9AY8AVmkAoLC3N2NfWSEhIQGZmJvLy8gCIz//DiN0/QGPAFbMTiBkPcVFaGWFhYUJLsCrDhg2Dk5MTjh49CkB8/h9G7P4BGgOumJVA/P39sWXLFr60UAQmNzdXaAlWxcPDA3l5eZg4cSIA8fl/GLH7B2gMuGLWYIqenp4YP348X1ooAtPSSMVtET8/PxBCoNfrRen/QcTuH6Ax4Aq9B0JhiYiIEFqC1dFqtejRowc2btwoSv8PInb/AI0BV2gCobA8+E6EWLC3t0eHDh2QlpYmSv8PInb/AI0BV2gCoYiehIQE/PrrrygrKxNaCoViU/CSQLKysgxGwaXYJmJtvtvb20On02HIkCGIjo5udKh3MSDW+n8QGgNu8JJAxo0bB0IIdDodhg8fjiFDhuDatWt8FE2xImJsvqenp2PSpEkA7t8Pyc7ORkJCgiiTiBjr/2FoDLjBSwJxcHCAk5MT9u3bB3t7eyxcuBDJycl8FE2hWJRly5aBYRj2MyEEDMNg+fLlAqqiUGwDXhKIk5MT1Go1vvvuOyQlJWHo0KEoLS3lo2iKFRFj8/3q1asNXoYlhIjyl6gY6/9haAy4wUsCWbJkCbp3746TJ0/ib3/7GwCgsrKSj6IpVkSMF83w8HCDFggAMAwjyguJGOv/YWgMuMFLAhk2bBjy8vKQk5MDBwcHXL16FU8++SQfRVOsiDFzxrc1UlJS2G6regghSElJEVCVMIix/h+GxoAbZs1I2JagMxICNTU1cHZ2FlqG1UlPT8fy5ctx+fJl1NXVYfz48aIcokes9f8gYo6BYDMS/vzzz3j88ccxePBgzJ07F1999RVycnL4KJpiRRQKhdASBCE+Ph5ZWVk4c+YMRo0ahezsbKElCYJY6/9BaAy4wUsCmT9/PjZu3Iji4mL4+vpi3rx5eOWVV/gommJF7O3NGhrN5rG3t0diYiIuX76MW7duCS3H6oi9/gEaA67wEi1XV1dER0fDxcUF77zzDuLi4vDFF1/wUTTFigQHBwstQVCCg4MRGhqKW7duwc3NTWg5Vkfs9Q/QGHCFlxZI/X82Dw8PqFQqREZG4tSpU3wUTbEiYh/KOjc3F46OjnBzc0NlZaXo5roRe/0DNAZc4SWBLF++HGVlZRg/fjzGjh2LRYsWoby8nI+iKVbEyclJaAmCUu//woUL8PX1xZkzZwRWZF3EXv8AjQFXeEkgAwcOhLu7O1555RUkJSXB3t4eu3fv5qNoihXx8/MTWoKg1PuPjIyEl5cXduzYIbAi6yL2+gdoDLjCSwLZunUrQkND0aVLF8THxyMpKanBy1mU1k9+fr7QEgSl3r+dnR3Gjh2LnTt3QqfTCazKeoi9/gEaA67wkkA++OADXLp0CTKZDADg4uKCyZMn81E0xYq4uLgILUFQHvSfmJgIpVLJzpcuBsRe/wCNAVd4SSAymQzu7u7s53bt2kGlUvFRNMWKeHt7Cy1BUB7037t3b0RERCAzM1NARdZF7PUP0BhwhZfHeDt37ozMzEy226quro6OhWWDFBYWwsvLS2gZgvGgf4ZhcPbsWVH9IhV7/QM0BlzhJYF8+OGHeOmll1BYWIjVq1dj//79GDBgAB9FU6zIg61IMfKwfxcXF+h0OpSXl6Ndu3YCqbIeYq9/gMaAK7x0Ycnlcuzbtw/btm2DTqfDq6++io0bN/JRNMWKiHUMsHoa8//CCy/g9ddfF0CN9RF7/QM0Blzh7b19hmHw3HPP4bnnnuOrSIqVKS4uhlwuF1qGYDTm/6mnnsLChQtRXl4OqVQqjDArIfb6B2gMuMJLC+To0aOYMGECZs+ejc2bNyMrKwtarZaPoilWROy/vhrz/+KLL6Kurg7/93//J4Ai6yL2+gdoDLjCSwIZP348Bg4ciOjoaJw7dw6zZs1CQEAAH0VTrIirq6vQEgSlMf8dOnTA4MGDsX37dgEUWRex1z9AY8AVXrqwQkND8dprr/FRFEVAlEqlqB9jbMp/YmIiPvzwQ9TW1rbpoS7EXv8AjQFXeGmBvPbaa9i6dSsfRVEEpP5FULHSlP8JEybgwoULbTp5ALT+ARoDrvCSQO7cuYPp06cjKioK06dPx5dffok///yTj6IpVsTBwUFoCYLSlH87OzswDIPr169bWZF1EXv9AzQGXOElgXz00Uc4c+YMvv32W/Tv3x+XL1/Gm2++yUfRFCty+/ZtoSUISnP+9+3bh9DQUFy9etWKiqyL2OsfoDHgCi8JJDIykl0SExPxj3/8A4cPHzapLI1GgxkzZkAul0Mul2PmzJlNPtG1bt069O7dG05OToiLizOrLApE8bJcczTn/8knn4SHhwe++eYbKyqyLmKvf4DGgCu8JJCIiAhMnz6dl/GvVqxYgYyMDOTk5CAnJwfHjh1Dampqo9sGBARg8eLFSEpKMrssCqU5XFxcEB8fj+3bt4tuoikKpSl4SSCEEGRnZyMkJATR0dF47bXXsH79epPK2rx5MxYvXgx/f3/4+/tj0aJF2LRpU6PbxsfHIy4ursmnJriURQFKS0uFliAoLflPTEzEtWvX2uwAi2Kvf4DGgCtGJZAlS5agpKSkye/XrVuHjIwM3L17F9999x2effZZFBUVcRZTVlaGoqIixMTEsOtiYmJQUFDAuXVjallqtdpgqa2t5WrDZvH19RVagqC05H/IkCHo2rUr8vLyrCPIyoi9/gEaA64Y9R5IamoqRowYwf7SJ4Tgiy++QGJiosHgYwzDIDw8HOHh4RgzZgxnMfUj+D44ZET93xUVFZxGyTS1rKCgIIPP8+fPx5w5c1BWVgY/Pz9UVVVBrVYjICAAarUalZWVCAoKQklJCaqrq9GxY0colUrU1tYiNDQUBQUF0Gq1CAsLQ25uLvR6PSIiInDlyhUAaPRviUSC0NBQKBQK2NvbIzg4GLm5uXBycoKfnx/y8/Ph4uICb29vFBYWwt3dHZ6eniguLoanpydcXV2hVCohk8ng4OCA27dvs327paWl8PX1hUajaeDJwcEBVVVVbcoTl3oqLy+Hp6dns5527tyJLl264MKFCzbhiUs95ebmoqSkpE154nru5ebmoqqqqk15MraeHB0djbq2GkCMgGEYcvLkSfazVqslEomEZGZmGmyXnZ1NRo4caUyRjXL37l0CgCgUCnbdtWvXCABSXl7e5H4pKSkNjsu1LJVKRQCQwsJColKp2KWmpsZkP7ZGdna20BIExVj/d+7cIQUFBRZWY33EXv+EiDsG9ddAlUpl9D4m3wMhjdxIvHfvHvbs2WNqkZDJZAgMDERWVha7LisrC0FBQZzH6De1LE9PT4Olrb889iBinw/aWP8DBw7E0qVLLStGAMRe/wCNAVd4uYnOJxMnTsTKlSuhVCqhVCqRmpra5PS4Wq0WNTU10Gq10Ov1qKmpQV1dnUllUYCqqiqhJQiKsf7//ve/Iy0tDTU1NRZWZF3EXv8AjQFXjE4g9bMNWpolS5agb9++7Hsl/fr1w8KFCwEAU6dOxdSpU9ltV6xYARcXF6xcuRJ79uyBi4sLnnnmGaPKojRErVYLLUFQjPX/0ksvQaVS4eeff7awIusi9voHaAy4wpDG+qIeQiKRIDY2Fr1790b37t3RpUsXPPvsszhz5gxiY2PZ7U6ePIl+/fpBp9NZVLQlUKvV8PLygkqlEu2Qznfv3hX1XAhc/Pfs2ROhoaH4z3/+Y2FV1kPs9Q+IOwamXAONegpr4cKFyM7OxoEDB/DFF1+w64cPH44ePXqge/fu6N69OzQajWnKKa0CtVot2v88ADf/sbGxSEtLg4uLC8LDw5GSkoL4+HgLK7QsYq9/gMaAK0YlkBUrVrB/q9VqnD9/HufPn8e5c+dw/vx5fP7557h37x4A63V1Ufin/tFnsWKs//T0dGzevBkMw7Av0SYkJCAtLc2mk4jY6x+gMeCKUV1YxqBQKHDu3DlkZ2fb5BMqtAsLUKlUnJ92a0sY6z86OhrZ2dkGTyIyDIOoqCiDp/5sDbHXPyDuGFisC8sYwsLCEBYWhoSEBL6KpFiZkpIS0f7nAYz3f/Xq1QaPsRNC2Je9bBWx1z9AY8AVo57CSk1Nxc2bNzkVnJqailu3bpkkiiIM1dXVQksQFGP9h4eHN+iqZRgGERERlpBlNcRe/wCNAVeMHguLy9hWOp0OS5YswY0bN0wWRrE+HTt2FFqCoBjrPyUlBYQQgyRCCEFKSoqlpFkFsdc/QGPAFaO6sAghmDdvnsG4Ui1tT7E9lEolPDw8hJYhGMb6j4+PR1paGpYvX45Lly6hrq4OCxYswKhRo6yg0nKIvf4BGgOuGJVABg4cCIZhUFFRYXTBAwcOpBVhY4hp5OHG4OI/Pj6efeJq/PjxGDBggKVkWQ2x1z9AY8AV3p7CsnXoU1j3h3FwdXUVWoZgUP/i9g+IOwamXAMtOhZWQUEBCgoKLHkICo+Iva7M8X/27Fns3buXRzXWR+z1D9AYcKXRLqzIyEhIJBJkZmbC2dnZ5MJDQkIgkUhQVVVl2ljzFKsi9vnizfH/6aefYv/+/bh+/Trs7Ox4VGU9xF7/AI0BVxptgVy5cgWXL1+GXq83+wC0h8x2CAsLE1qCoJjjPykpCYWFhdi/fz+PiqyL2OsfoDHgSqsbzp0iHLm5uUJLEBRz/D/66KOIjo42GCvO1hB7/QM0BlwxKYEQQrBw4UKcPn2abz0UAeGjxWnLmOOfYRgkJSVhz549nF+6bS2Ivf4BGgOucE4gOp0Or7zyClavXo0hQ4a0uTkRxIytv0ltLub6f/nllzFv3jxIJLbZsBd7/QM0BlzhdKZXV1djxIgR2LlzJwghuHfvHkaOHInNmzdbSh/Fitj6WE7mYq5/qVSK1atXo3379jwpsi5ir3+AxoArRieQ8vJyDB06FPv27YNEIsEnn3yCUaNGQavVIikpCcuXL7ekTgrFJtBoNFi1ahWOHz8utBQKxeI0+iKhRCJh3zx3dXXFzZs38cwzzyAnJweOjo7Yvn07EhISQAjBrFmzsH79ejAMg8mTJ2PDhg1sE76+nOrq6lb/GC99kfD+xc/BwUFoGYLBh39CCHr06IGuXbti165dPCmzDmKvf0DcMbDIi4TXrl3DE088gZycHLi7u2Pv3r3skO0Mw+CTTz7BqlWrAABffvkl4uLiUFNTY4YNilCIvfnOh//6m+m7d+/G7du3eVBlPcRe/wCNAVeaTSCZmZno378/8vLy0K5dOxw5cgRPPfVUg+3eeustfPXVV3BwcMDevXsxePBglJaWWkw0hdKaGTduHCQSCf79738LLYVCsSjNdmG5uLigqqoKQUFBOHDgQItPKBw9ehTx8fFQq9Xo1KkTFAoF7cKyIcTcfAf49f/KK6/g1KlTuHLlis1M8yz2+gfEHQPeu7CqqqoQERGB48ePG/V42+DBg/Hbb7/B398ff/31l3GqKa0GsTff+fT/9ttvY/369byVZw3EXv8AjQFXmkwghBA8+uijyMjIQGBgoNEF9ujRA3/88Qe6du3Ki0CK9bDV9xf4gk//PXr0wNNPP20zrQ+A1j9AY8CVRqP1ySefYP369Th8+DDatWvHudDAwEBkZGQgMTERQ4YMsdnB5cRGaGio0BIEhW//ly9fxjPPPIOSkhJey7UUYq9/gMaAK40mkOTkZEybNg3u7u4mF+zl5YWvv/4aBw8epAnERlAoFEJLEBS+/Xt7e+PXX3/FV199xWu5lkLs9Q/QGHCFttcoLPb2Rk1Q2Wbh27+3tzdGjRqFzz//3CZGpRZ7/QM0BlyhCYTCEhwcLLQEQbGE/9dffx2XL1+2iTfTxV7/AI0BV0xOIL/99hvu3bvX4G+K7SL2oawt4X/QoEHo1KkTtmzZwnvZfCP2+gdoDLhiUgLR6XQYPHgwrl69yv5NH3+zfZycnISWICiW8C+RSJCeno6PP/6Y97L5Ruz1D9AYcMXkDj9CCNuvawv9u5SW8fPzE1qCoFjKf1RUFID7/09a82O9Yq9/gMaAK/QeCIUlPz9faAmCYkn/GzZsQL9+/Vr1jy2x1z9AY8AVmkAoLC4uLkJLEBRL+g8NDcUff/yBkydPctovPT0d0dHRcHFxQXR0NNLT0y2kkNY/QGPAFZpAKCze3t5CSxAUS/p/+umn4ePjg2HDhhmdDNLT05GQkIDs7GzU1NQgOzsbCQkJFksiYq9/gMaAKzSBUFgKCwuFliAolvS/e/du3LlzB2VlZUYlA71ej3fffRcMwxjca2QYxmKTt4m9/gEaA67Qt2YoLOaMPNAWsKT/ZcuWNUgGAJCUlIRvvvkGZWVl0Gg0+PXXXwHcH0vr4sWLDcohhFjsiUex1z9AY8AV2gKhsIh1GPt6LOn/6tWrjd5ALysrQ3l5OeRyObp27cpuk5qaiuDg4AZPbTEMY9TI2KYg9voHaAy4QlsgFJbi4mLI5XKhZQiGJf2Hh4cjOzvbIIkwDIOoqCgcPHiwwfYjR46ETqdDQkIC23Kp/zclJcUiGsVe/wCNAVdMaoHY2dlhy5YteOSRRwz+ptg2Yv/1ZUn/KSkpBu+BGJMM4uPjkZaWhqioKDg7O6Nz584YMWIE4uLiLKJR7PUP0BhwhrQy6urqSHJyMpHJZEQmk5EZM2YQjUZj0rbjx48nDg4OxM3NjV1+//33RstSqVQEAFGpVBbxZQvcuXNHaAmCYmn/aWlpJDo6mjg7O5Po6GiSnp7Oaf/vv/+eACBbt261iD6x1z8h4o6BKdfAVncPZMWKFcjIyEBOTg5ycnJw7NgxpKammrzt9OnTUVlZyS59+/a1hg2bRKlUCi1BUCztPz4+HllZWaiurkZWVhZGjRrFaf8XXngBr776KmbPno2ioiLe9Ym9/gEaA660ugSyefNmLF68GP7+/vD398eiRYuwadMms7eltIxMJhNagqDYgv+PPvoIbm5umDRpEu9vtduCf0tDY8CNVpVAysrKUFRUhJiYGHZdTEwMCgoKoFKpTNp227ZtkMvl6NatG9auXQu9Xt+sBrVabbDU1tby4s0WcHBwEFqCoNiCf5lMhi+//BJnz55FXl4er2Xbgn9LQ2PAjVb1FFZlZSUAQCqVsuvq/66oqICXlxenbWfNmoU1a9ZALpfj9OnTGDNmDCQSCebOndukhqCgIIPP8+fPx5w5c1BWVgY/Pz9UVVVBrVYjICAAarUalZWVCAoKQklJCaqrq9GxY0colUrU1tYiNDQUBQUF0Gq1CAsLQ25uLvR6PSIiIthn+Rv7WyKRIDQ0FAqFAvb29ggODkZubi6cnJzg5+eH/Px8uLi4wNvbG4WFhXB3d4enpyeKi4vh6ekJV1dXKJVKyGQyODg44Pbt2+zUxKWlpfD19YVGo2ngqaamBlVVVW3KE5d6UiqV8PT0bPWe+vTpg6NHj+LevXtQqVS81dPFixdRUlLS6uvJkufexYsXUVVV1aY8GVtPjo6OTV4Xm8Ryt2S4c/fuXQKAKBQKdt21a9cIAFJeXm7ytvWsX7+e9OnTp9Hv6m8gFRYWEpVKxS41NTU8OLMNiouLhZYgKLbm/9atW2TZsmVEp9PxUp6t+bcEYo4BrzfRNRoN1q5di1mzZuHAgQMG37399tvcM5URyGQyBAYGIisri12XlZWFoKAgg9YH123rkUha7rHz9PQ0WOj8AJTWSnZ2NlJSUrBhwwahpVBESpNX1OTkZGRmZiIkJATz58/HvHnz2O8ae/GJLyZOnIiVK1dCqVRCqVQiNTUVkydPNmnbXbt2Qa1WgxCCM2fOYNWqVUhISLCYdluntLRUaAmCYmv+n3rqKUybNg1vvfUWFAqF2eXZmn9LQGPAkaaaJlFRUezf1dXV5MUXXySvvvoq0el0JCYmxqymUnPU1dWR6dOnE6lUSqRSKUlOTmbf7ZgyZQqZMmWKUdsSQsiAAQOIl5cXcXNzI+Hh4WT16tVNNvfpeyD3u0TEjC36r6ioIKGhoaR///5Eq9WaVZYt+ucbMcfAlGsgQ0jjzwJ27drVYDA3QgiSk5Nx48YNKBQK5OTkWCnFWQe1Wg0vLy+oVCrRvo1648YNdOjQQWgZgmGr/n/77TcMHToUv/zyC/r162dyObbqn0/EHANTroFNdmGFhIQgIyOD/cwwDD799FNERETg8uXL5qultDrKysqEliAotup/4MCByMvLMyt5ALbrn09oDLjRZAL5+uuv0a1btwbrP/jgA2RnZ1tUFEUYxD4ftC37DwgIgEajweeffw6tVmtSGbbsny9oDLjRZAKRy+VNvpXZtWtXiwmiCEdVVZXQEgTF1v2fP38e06ZNwz/+8Q+T9rd1/3xAY8ANTm+i37p1q8WnFJq4pUKxAdRqtdASBMXW/ffq1Qvz58/HkiVLEBERwXkedVv3zwc0BtwwKoHk5uYiJiYGAQEB8PX1Rf/+/ZGbm8t+f/fuXWzfvh2JiYnw8fGxmFiKZQkICBBagqC0Bf+xsbHQarW4evUq53nU24J/c6Ex4IZRCWTu3Ln466+/MHv2bKSmpsLLywvPPfccLl26hOeffx5+fn4YN24c9u3bh2eeecbSmikWQuy/vtqC//fff99gFkPCYR71tuDfXGgMuGHUWFi///471q5di9dffx3A/TfRlyxZgieeeAKVlZV47bXXMHbsWAwYMAB2dnYWFUyxHPXji4mVtuC/salziZHzqLcF/+ZCY8ANo1ogpaWliI6ONliXnJyM8vJyfPTRR/jss88waNAgmjxsnIcHkhQbbcF/eHh4g3nUAcDd3R01NTXN7tsW/JsLjQE3jL6J/vA4UvX3Oh599FF+FVEEo6SkRGgJgtIW/Dc2dS4AlJeXo0+fPrh06VKT+7YF/+ZCY8ANoxPIpEmT8Oqrr+L999/H7t27cenSJTAMA3v7VjUiPMUMqqurhZYgKG3B/8PzqEdFRSE9PR2ZmZnQaDTo1asXjh492ui+bcG/udAYcKPJoUweZPHixcjOzsb58+eRn59/f0eGASEEMTEx6Nu3L2JjYxEbG4sePXqYNq68wNChTO7Po+Lh4SG0DMFo6/6rqqrw/vvv4+2334a7uzv0er1Bz0Jb928MYo6BKddAoxLIwwc5f/48zp8/j3PnzuH8+fO4cOEC7t27BwBwdHRssa+1NUITCHDt2jV07txZaBmCISb/CoUCcXFx+Oyzz9C/f38A4vLfFGKOgSnXQM79T56enujfvz970tWjUChw7tw5OsyJDSOm6XsbQ0z+nZycIJfL8eSTT+Lvf/87Ll26hCtXrqBLly5ISUlBfHy80BIFQUznAB9wboG0VWgL5H4Xh6urq9AyBENs/nU6HV5++WV8++237Lr6rum0tDRRJhGxnQMPwutovBTxUVBQILQEQRGbfzs7O/ZhmHrqn+BauHChKIclEts5YC40gVBYTB3Fta0gRv/NvXjYoUMHJCYm4osvvmgwzHl6ejqio6M5j7fV2hHjOWAONIFQWMLCwoSWIChi9N/Yi4cMwyA0NBTjxo3DtWvXMHXqVNy9exfA/WkeZsyYgYSEBGRnZ3Meb6u1I8ZzwBxoAqGwPDhAphgRo//GXjwkhOAf//gHVq9ejdOnT+Pu3bsIDQ0FAOzZswfr168H8L+Rt7mMt9XaEeM5YA40gVBY9Hq90BIERYz+H3zx0NHRkX3xcNSoUew2Xl5ebIL59ttv4eTk1KAcQgguXboEpVJpNe2WQIzngDnQp7D+C30KC9BoNHBwcBBahmBQ/8b5j46ORnZ2tsG9E4Zh4OLigtraWgwfPhyvvfYahg0bZnPxFPM5QJ/CopiFMSO2tmWof+P8N9Xt9dlnn+Ff//oXioqKEBcXh6CgIOTk5LD72cKNd7GfA1yhCYRCoXCiqfG2xo0bh+nTpyMzMxNnz57Fq6++yr7VPXr06DZ7413UEAohhBCVSkUAEJVKJbQUwairqxNagqBQ/5bxr9PpiIeHBwFgsDAMQ6Kjo3k/XlpaGomKiiLOzs4kKiqKpKWlGb1vWzgHTPVvyjWQtkAoLGJvvlP/lvEvkUig0WgarCf/fd9kyZIleOutt5Ceno7i4mKDbbh2e6Wnp5vU0qk/jru7u8W616zRhWeqf5MxMcm1OWgLhJDs7GyhJQgK9W85/1FRUYRhmEZbINOmTSNBQUHs+sDAQPLrr7+StLQ0drsH/922bRshhJCbN2+Sr7/+mvzrX/8iS5cuJTNnziQ+Pj4NjlNf5o8//kjKy8sbaGvqOFxaLi3BxzE0Gg0pLy8nRUVF5PLlyyQ/P58QQoharSa7du0imzdvJgEBASa39Ey5BtKnsP4LfQpL3E+gANS/Jf3X/zKuv+Fe/++DjwzfuHEDJ0+exB9//IHk5GS88MILOH/+fIOyfH19cevWLRw+fBhDhw6Fo6Mj2rVrh3bt2uHixYvNPop77tw5REVF4Y033sCePXsQFBSEs2fPory83GA7hmHQoUMHLF26FMD9QWRHjx4NANixY0eDQReHDx8OX19fnDp1qsGkXREREZgyZUqjT661b98eN2/eBADMmTMHubm5uHfvHiorK1FZWYkNGzZg4MCBeO+99/Duu+8alJuYmIjt27cjNzcXnTp1aib6gLOzc4tznZh0DTQ61bRxaAuE/gKn/i3rPy0tjURHRxNnZ2cSHR1N0tPTm93e2dm5wa9pAMTR0ZEQcv9+xb1794her2f3aaqlExUVRYqKith7HD/88AOZP38+GTt2bKMtloeXTp06scfw9vZu8P2JEycIIYTMmTOnwXfTp09v0gvDMGy5r732GhkxYgQZO3YsmTx5MpkzZw65cOECIYSQzMxMsmXLFrJr1y7y008/kd9++40oFApCCCFarZaUl5cTjUbTbEuvJUy5BtIE8l9oAiEkJydHaAmCQv23Lv+mXAyb6ipqLlk1dxy9Xk/0ej3R6XTs9jqdjuh0OqLVatmlPolptVqi0WiIRqMhdXV1pK6uzuwLOxdM8V8PTSBmQBMIIdXV1UJLEBTqv3X5N/ViyLWlY85F19JeTD0WF//10ARiBjSB0C4c6r/1+Tf1YmjqcRwdHS12HGt5MRV6E90M6E104PLly+jSpYvQMgSD+he3f0DcMaBDmVDMIjg4WGgJgkL9i9s/QGPAFZpAKCxiH8qa+he3f4DGgCs0gVBYGhumW0xQ/+L2D9AYcIUmEAqLn5+f0BIEhfoXt3+AxoArNIFQWPLz84WWICjUv7j9AzQGXKEJhMLi4uIitARBof7F7R+gMeAKTSAUFm9vb6ElCAr1L27/AI0BV1pdAtFoNJgxYwbkcjnkcjlmzpwJrVZr0rZcyqIAhYWFQksQFOpf3P4BGgOutLoEsmLFCmRkZCAnJwc5OTk4duwYUlNTTdqWS1kUwN3dXWgJgkL9i9s/QGPAGYu9F28igYGB5LvvvmM/79q1iwQHB5u0LZey6FAmhJSWlgotQVCof3H7J0TcMbD5GQnLyspQVFSEmJgYdl1MTAwKCgqgUqk4bculrAdRq9UGy8Pj/rdlHp4NTmxQ/+L2D9AYcMVeaAEPUllZCQCQSqXsuvq/Kyoq4OXlZfS25L9DfBlT1oMEBQUZfJ4/fz7mzJmDsrIy+Pn5oaqqCmq1GgEBAVCr1aisrERQUBBKSkpQXV2Njh07QqlUora2FqGhoSgoKIBWq0VYWBhyc3Oh1+sRERHBTh/a2N8SiQShoaFQKBSwt7dHcHAwcnNz4eTkBD8/P+Tn58PFxQXe3t4oLCyEu7s7PD09UVxcDE9PT7i6ukKpVEImk8HBwQG3b99Gu3btAAClpaXw9fWFRqNp4MnOzg55eXltyhOXelKr1aipqWlTnrjUk1qtxsWLF9uUJ671pFarkZeX16Y8GVtPjo6OjV4Tm6NVDaZYVlYGuVwOhULBzrClUCjQuXNnlJeXG1z0W9pWr9cbXRbwv4HECgsLDQYSc3JyEs3bqSUlJaJ+CoX6F7d/QNwxsPnBFGUyGQIDA5GVlcWuy8rKQlBQUIMLfkvbcinrQTw9PQ0WsSQPAFAqlUJLEBTqX9z+ARoDrrSqBAIAEydOxMqVK6FUKqFUKpGamorJkyebtC2Xsij3k7KYof7F7R+gMeBKq0sgS5YsQd++fREZGYnIyEj069cPCxcuBABMnToVU6dONWpbY75/kPqb5WK6af4gtbW1+Oijj6h/6l9oKYIh9hiYcg1sVfdAhKSoqAhBQUEoLCxEYGCg0HKsjtgn1KL+xe0foDEw5RrY6logFAqFQrENaAKhUCgUikm0qvdAhKS+J6+iogJqtVpgNdan3rMYvQPUv9j9AzQGFRUVAP53LTQGeg/kv+Tm5rLvi1AoFIpY+euvvxAaGmrUtjSB/Be9Xo/i4mJ4eHiAYRih5VAoFIpVIYSgoqICAQEBkEiMu7tBEwiFQqFQTILeRKdQKBSKSdAEQqFQKBSToAmEQqFQKCZBEwjEPfXthAkT4OjoCHd3d3Y5ceKE0LIsyrp169C7d284OTkhLi7O4DsxnAvN+RfD+VBbW4ukpCQ88sgj8PDwQJcuXbB582b2+7Z+DrTkn8s5QBMI6NS306dPR2VlJbv07dtXaEkWJSAgAIsXL0ZSUlKD78RwLjTnH2j754NWq4W/vz8OHToEtVqNrVu3Yt68eThw4ACAtn8OtOQfMP4coAkEwObNm7F48WL4+/vD398fixYtwqZNm4SWRbEQ8fHxiIuLa3TeBzGcC835FwNubm5Yvnw5OnXqBIZh8Pjjj2Pw4MHIyMgA0PbPgZb8c0H0CcTUqW/bEtu2bYNcLke3bt2wdu1a6PV6oSUJAj0X7iO286GmpganTp1CVFSUKM+BB/3XY+w5IPoE0tLUuG2dWbNm4cqVK7hz5w42bdqEjz/+GB9//LHQsgRB7OcCIL7zgRCCyZMno3PnzoiPjxfdOfCwf4DbOSD6BOLu7g4ABr8u6v/28PAQRJM16dmzJ3x8fGBnZ4fHH38cCxYswLfffiu0LEEQ+7kAiOt8IIRg2rRpuHLlCnbv3g2JRCKqc6Ax/wC3c0D0CcTUqW/bKsYOYdAWoedCQ9rq+UAIQXJyMk6dOoUDBw6w9SuWc6Ap/43R3DnQNs8Ojoh56ttdu3ZBrVaDEIIzZ85g1apVSEhIEFqWRdFqtaipqYFWq4Ver0dNTQ3q6uoAiONcaM6/WM6HGTNm4Pjx4zh48GCDaWzFcA4055/TOUAopK6ujkyfPp1IpVIilUpJcnIy0Wg0QsuyCgMGDCBeXl7Ezc2NhIeHk9WrVxOdTie0LIuSkpJCABgsTz75JCFEHOdCc/7FcD7k5eURAMTJyYm4ubmxy5QpUwghbf8caMk/l3OADqZIoVAoFJOgXVgUCoVCMQmaQCgUCoViEjSBUCgUCsUkaAKhUCgUiknQBEKhUCgUk6AJhEKhUCgmQRMIhUKhUEyCJhAKhUKhmARNIBSjWbp0KRiGwcCBAxv9rn4gOmsxYcIEdO/e3arH5Mpbb70Ff39/SCQSzJkzp9Fttm7dCoZh2EUmk6Fv37744YcfrCvWRHbv3o1PP/1UaBkUAaAJhMKZY8eO4ciRI0LLaPXs378fa9aswdtvv43jx49j7ty5zW6/b98+nDhxAtu2bYOzszNGjhyJffv2WUmt6dAEIl7shRZAsS3c3NzQvXt3LFu2DEOGDBFajkWprq6Gi4uLyftfunQJwP35FYwZ1bZXr17sLIGDBg1CcHAw1q1bh2effbbR7WtqauDs7GyyvtaKuXGnWA/aAqFw5t1338Vvv/2GX375pcltfvnlFzAMgzNnzhisf/755zFo0CD2c33XV2ZmJvr06QMXFxfExsYiMzMTNTU1mDZtGuRyOQIDA/HRRx81eqyff/4Z3bt3h7OzM3r16oU//vijwTZbt25FVFQUnJ2d0aFDByxatAhardbge4ZhcOLECTz99NNwc3PD/Pnzm/R39+5dTJ48GT4+PnBxccFjjz1mMKf0oEGD2BaHnZ0dGIZpNl4P4+Hhgc6dO+P69esGcTp16hT69u0LZ2dnfPLJJwDutwj79+8PFxcXtGvXDuPGjcOtW7fYsvLy8sAwDL7++mvMmDEDMpkM/v7+mD9/PhuD8+fPg2EYHDp0yECHXq9HcHAw3njjjUZ1TpgwAf/+97+Rk5PDdsFNmDCB/f7EiRMYMmQI3Nzc4OXlhcTERNy+fbuBtq1btyIpKQnt2rXDo48+CgBgGAarV6/GggUL4OPjA6lUivnz54MQgsOHDyMmJgbu7u4YMmQICgsLDXStWrUKYWFhcHZ2hq+vL4YOHcrGksIjVhsCkmLzpKSkEDc3N0IIIY8++ig7guvD3xFCyNGjRwkAcvr0aYMyhg8f3mA/R0dHEhUVRbZs2UL27t1LunfvToKDg0liYiKZO3cuOXDgAElOTiYAyPHjx9l9x48fT+RyOQkJCSFbt24l33//Penbty/x9PQkt27dYrdbu3YtsbOzI/PnzycHDhwgH3/8MXF3dydvv/02u82WLVsIAPLII4+Q999/nxw5coScOHGi0ThotVry2GOPEblcTjZu3Ej27t1Lnn/+eWJnZ0eOHDlCCCEkJyeHzJw5kwAgJ06cICdOnCAqlarR8uqPfefOHYNj+Pn5kaFDh7JxcnBwIGFhYWT9+vXk6NGjJCsri5w5c4Y4OjqSp556ivzwww9k69atxM/Pj3Tt2pVUV1cTQgi5fv06AUCCg4PJzJkzyYEDB9gReTds2MAes0+fPmTs2LEG2n7++WcCgFy4cKFR7QqFggwbNoyEhoayPhUKBSGEkN9//504OjqSuLg4smfPHrJz504SFhZG+vTpw+5fr83Pz48kJSWR/fv3k59++okQQggAEhgYSF599VWyb98+smzZMgKAzJkzh/To0YPs3LmTpKenk8DAQPL000+zZf773/8m9vb2JDU1lRw9epTs3r2bzJs3j2RlZTXqgWI6NIFQjObBJLFnzx4CgPzyyy8NviOEWwIBQH7++Wd2XX3ZL774IrtOq9USX19fMmfOHHbd+PHjCQBy+PBhdl1ZWRlxd3cn77zzDiGEELVabfC5nvXr1xMXFxdSUlJCCPnfRfyDDz5oMQ7ff/89AUD27t3LrtPpdCQyMtLA25o1a4gxv9Hqj61UKolGoyHFxcVswty4caNBnHbt2mWw76hRo0hgYCCpra1l1/3+++8EANmyZQsh5H8X6dGjRxvs+8QTT5CnnnqK/fzll18SZ2dncvfuXXbd6NGjDS74jTF+/HjSrVu3BusHDhxI+vXrR/R6PbvuwoULhGEYNnb12oYNG9ZgfwANjt2rVy/CMAy5ePEiu+6TTz4hAEhZWRkhhJDk5GTSs2fPZjVT+IF2YVFM4vnnn0fPnj2xbNkys8uSSCQG91PCw8MBAEOHDmXX2dnZoVOnTg26Kry8vAz2lUqlGDJkCNuN9fvvv6OyshKjR4+GVqtllyFDhqC6uhoXLlwwKG/YsGEt6j127Bg8PDwMtpVIJBgzZgx+//136HQ6Du7/h5+fHxwcHBAQEIDNmzdj8eLFSEpKalbfsWPHEBcXB0dHR3Zd37590bFjRxw7dsxg22eeecbgc9euXVFUVMR+Hjt2LBwcHLBjxw4AQGlpKX744QdMmjSJs5eqqiocP34co0ePhk6nY+MeEREBf39/nD59ullf9Tx4DgD3z42AgABERkYarAPAeunZsyfOnj2LN954AxkZGdBoNJz1U4yDJhCKybz77rs4evRogwsVV1xcXAwugPV/S6VSg+0cHR1RU1NjsM7Hx6dBeb6+vrh58yYAoKSkBMD9i4qDgwO71F+AHk5Ivr6+LeotKytD+/btG6z38/ODRqNBZWVli2U0xqFDh3D69GkoFAqo1Wq89957YBiG/d7V1RVubm4NtPj5+TWq5e7duwbrWoqnm5sbXnrpJWzatAkA8PXXX8Pe3h5jx47l7KWsrAw6nQ5z5841iLuDgwOKi4uNjntjmhtbB4D1MmHCBPzzn//E/v37MWDAAPj4+GD27Nmorq7m7IPSPPQpLIrJjBw5EjExMVi2bBn69+9v8F3900H1U6XWc/fuXYNkYS537txpsO727dvw9/cHAMjlcgBAeno6goKCGmz7yCOPGHx+8ILdFHK53OAmdT1KpRIODg4mvw8THR3NPoXVGI1pa05Lt27dOGtISkrC559/jqysLGzZsgWjR4+Gh4cH53KkUikYhsHChQsRFxfX4PuHfRoTd2ORSCSYPXs2Zs+ejRs3bmDnzp1YsGABvL29sWTJEt6OQ6EtEIqZvPvuuzh8+DAyMjIM1gcGBgL436OswP0L+/nz53k9vkqlMngnpf5znz59AAD9+vWDq6srioqK0Lt37wZLu3btOB+zf//+qKioMHhHQ6/X47vvvkO/fv1gZ2dnvjEOWnbv3m3QTXPy5Enk5+djwIABnMvr3bs3YmJiMHv2bJw7d86o7qvGWoZubm7o27cvLl261GjcQ0JCOGszhQ4dOmDevHmIiooyOBcp/EBbIBSziIuLQ1RUFA4fPmzQvRIYGIg+ffpg2bJl8PLygp2dHVatWgUvLy9ejy+XyzFp0iQsW7YMUqkUq1atAgD2rW8vLy8sX74cb731FoqKijB48GBIJBLk5ubi+++/R1paGlxdXTkdc/jw4Xjssccwbtw4pKamIjAwEJ999hmuXLmC9evX8+qvJRYtWoR+/fph2LBhmD17Nu7evYt33nkHXbt2NanrCbjfCklOTkZ4eHiDlmVjREZGYvPmzfjmm2/QuXNneHt7IyQkBGvWrMGQIUPw4osvYuzYsZDJZCgqKsLBgwcxceJEg8e5+WTKlCmQyWR4/PHHIZPJcPz4cZw7dw7Tp0+3yPHEDG2BUMyCYRi8++67jX63fft2hIWFYcKECXjrrbfwxhtvIDY2ltfj+/v7Y926dVi1ahVGjx6Nmpoa7N+/3+Aexbx587BlyxYcPXoU8fHxGD16ND7//HM8+uijJnWn2dnZ4eeff8YLL7yAd955B6NGjcLNmzexd+9ei10Um6JXr144ePAgqqqq8Pe//x1z5szB4MGDcfjwYZNfMhw1ahQAGH3zfNKkSRg9ejRmzpyJRx99FEuXLgVwv/WXkZGByspKTJw4EcOGDcPy5cvh6uqKsLAwk7QZQ/1xJ02ahGeffRbbt2/HP//5T5MeBqA0D0MIIUKLoFAorYfNmzdjypQpKCwsbPQGPYVSD+3ColAoAO6/FX7t2jW89957ePHFF2nyoLQI7cKiUCgA7g+XMnz4cHTs2BFr164VWg7FBqBdWBQKhUIxCdoCoVAoFIpJ0ARCoVAoFJOgCYRCoVAoJvH/7WEhA1bJM+8AAAAASUVORK5CYII=", "text/html": [ "\n", "
\n", "
\n", " Figure\n", "
\n", " \n", "
\n", " " ], "text/plain": [ "Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "dict_prony, N_opt, N_opt_err = visco.opt.nprony(df_master, prony, window='min')\n", "df_GMaxw_opt, fig_opt = visco.opt.plot_fit(df_master, dict_prony, N_opt, units)\n", "fig_res = visco.opt.plot_residual(N_opt_err)" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "scrolled": false }, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "1e21f87aa5a44393960b357b857e6c6e", "version_major": 2, "version_minor": 0 }, "image/png": "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", "text/html": [ "\n", "
\n", "
\n", " Figure\n", "
\n", " \n", "
\n", " " ], "text/plain": [ "Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig_coeff = visco.prony.plot_param([prony, dict_prony[N_opt]], ['initial', 'optimized'])" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.9.7" }, "voila": { "template": "classic" } }, "nbformat": 4, "nbformat_minor": 4 }