{ "cells": [ { "cell_type": "markdown", "id": "6df76a47", "metadata": {}, "source": [ "# Levenberg Marquardt Fitting\n", "\n", "\n", "## Conventions and best approaches\n", "\n", "- S0 Signal for unbound state\n", "- S1 Signal for bound state\n", "- K equilibrium constant (Kd or pKa)\n", "- order data from unbound to bound (e.g. cl: 0–\\>150 mM; pH 9–\\>5)\n", "\n", "## Initial imports" ] }, { "cell_type": "code", "execution_count": 1, "id": "3e7538f5", "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import scipy\n", "import pandas as pd\n", "import matplotlib.pyplot as plt\n", "import seaborn as sb\n", "import lmfit" ] }, { "cell_type": "markdown", "id": "dac17ebe", "metadata": {}, "source": [ "## Single Cl titration." ] }, { "cell_type": "code", "execution_count": 2, "id": "7cf35b75", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "df = pd.read_table(\"../../tests/data/copyIP.txt\")\n", "sb.scatterplot(\n", " data=df,\n", " x=\"cl\",\n", " y=\"F\",\n", " hue=df.cl * df.F,\n", " palette=\"crest\",\n", " s=200,\n", " alpha=0.8,\n", " legend=False,\n", ")" ] }, { "cell_type": "code", "execution_count": 3, "id": "e170817a", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[[Variables]]\n", " S0: 13408867.8 +/- 87130.3362 (0.65%) (init = 1.33579e+07)\n", " S1: 563537.064 +/- 106411.960 (18.88%) (init = 100)\n", " Kd: 58.3187767 +/- 2.24671605 (3.85%) (init = 50)\n", "[[Correlations]] (unreported correlations are < 0.100)\n", " C(S1, Kd) = -0.7123\n", " C(S0, Kd) = -0.6562\n", " C(S0, S1) = +0.2747\n" ] }, { "data": { "text/plain": [ "[,\n", " ]" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def residual(pars, x, y=None):\n", " S0 = pars[\"S0\"]\n", " S1 = pars[\"S1\"]\n", " Kd = pars[\"Kd\"]\n", " model = (S0 + S1 * x / Kd) / (1 + x / Kd)\n", " if y is None:\n", " return model\n", " return y - model\n", "\n", "\n", "params = lmfit.Parameters()\n", "params.add(\"S0\", value=df.F[0])\n", "params.add(\"S1\", value=100)\n", "params.add(\"Kd\", value=50, vary=True)\n", "\n", "out = lmfit.minimize(\n", " residual,\n", " params,\n", " args=(\n", " df.cl,\n", " df.F,\n", " ),\n", ")\n", "\n", "xdelta = (df.cl.max() - df.cl.min()) / 500\n", "xfit = np.arange(df.cl.min() - xdelta, df.cl.max() + xdelta, xdelta)\n", "yfit = residual(out.params, xfit)\n", "print(lmfit.fit_report(out.params))\n", "plt.plot(df.cl, df.F, \"o\", xfit, yfit, \"-\")" ] }, { "cell_type": "code", "execution_count": 4, "id": "e083d1b2", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " 95.00% 68.00% _BEST_ 68.00% 95.00%\n", " S0:13197616.3413314946.3513408867.7913503300.3813622729.13\n", " S1:300911.47447991.63563537.06677869.66819977.61\n", " Kd: 53.13 55.96 58.32 60.79 64.07\n", "[[Fit Statistics]]\n", " # fitting method = leastsq\n", " # function evals = 17\n", " # data points = 9\n", " # variables = 3\n", " chi-square = 8.3839e+10\n", " reduced chi-square = 1.3973e+10\n", " Akaike info crit = 212.594471\n", " Bayesian info crit = 213.186145\n", "[[Variables]]\n", " Kd: 58.3187767 +/- 2.24671605 (3.85%) (init = 50)\n", " S0: 13408867.8 +/- 87130.3362 (0.65%) (init = 1.33579e+07)\n", " S1: 563537.064 +/- 106411.960 (18.88%) (init = 100)\n" ] } ], "source": [ "def residuals(p):\n", " S0 = p[\"S0\"]\n", " S1 = p[\"S1\"]\n", " Kd = p[\"Kd\"]\n", " model = (S0 + S1 * df.cl / Kd) / (1 + df.cl / Kd)\n", " return model - df.F\n", "\n", "\n", "mini = lmfit.Minimizer(residuals, params)\n", "res = mini.minimize()\n", "ci, tr = lmfit.conf_interval(mini, res, sigmas=[0.68, 0.95], trace=True)\n", "print(lmfit.ci_report(ci, with_offset=False, ndigits=2))\n", "print(lmfit.fit_report(res, show_correl=False, sort_pars=True))" ] }, { "cell_type": "code", "execution_count": 5, "id": "56c6be2c", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "names = res.params.keys()\n", "i = 0\n", "gs = plt.GridSpec(4, 4)\n", "sx = {}\n", "sy = {}\n", "for fixed in names:\n", " j = 0\n", " for free in names:\n", " if j in sx and i in sy:\n", " ax = plt.subplot(gs[i, j], sharex=sx[j], sharey=sy[i])\n", " elif i in sy:\n", " ax = plt.subplot(gs[i, j], sharey=sy[i])\n", " sx[j] = ax\n", " elif j in sx:\n", " ax = plt.subplot(gs[i, j], sharex=sx[j])\n", " sy[i] = ax\n", " else:\n", " ax = plt.subplot(gs[i, j])\n", " sy[i] = ax\n", " sx[j] = ax\n", " if i < 3:\n", " plt.setp(ax.get_xticklabels(), visible=True)\n", " else:\n", " ax.set_xlabel(free)\n", "\n", " if j > 0:\n", " plt.setp(ax.get_yticklabels(), visible=False)\n", " else:\n", " ax.set_ylabel(fixed)\n", "\n", " rest = tr[fixed]\n", " prob = rest[\"prob\"]\n", " f = prob < 0.96\n", "\n", " x, y = rest[free], rest[fixed]\n", " ax.scatter(x[f], y[f], c=1 - prob[f], s=25 * (1 - prob[f] + 0.5))\n", " ax.autoscale(1, 1)\n", " j += 1\n", " i += 1" ] }, { "cell_type": "code", "execution_count": 6, "id": "81df4253", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "names = list(res.params.keys())\n", "\n", "plt.figure()\n", "for i in range(3):\n", " for j in range(3):\n", " indx = 9 - j * 3 - i\n", " ax = plt.subplot(3, 3, indx)\n", " ax.ticklabel_format(style=\"sci\", scilimits=(-2, 2), axis=\"y\")\n", "\n", " # set-up labels and tick marks\n", " ax.tick_params(labelleft=False, labelbottom=False)\n", " if indx in (1, 4, 7):\n", " plt.ylabel(names[j])\n", " ax.tick_params(labelleft=True)\n", " if indx == 1:\n", " ax.tick_params(labelleft=True)\n", " if indx in (7, 8, 9):\n", " plt.xlabel(names[i])\n", " ax.tick_params(labelbottom=True)\n", " [label.set_rotation(45) for label in ax.get_xticklabels()]\n", "\n", " if i != j:\n", " x, y, m = lmfit.conf_interval2d(mini, res, names[i], names[j], 20, 20)\n", " plt.contourf(x, y, m, np.linspace(0, 1, 10))\n", "\n", " x = tr[names[i]][names[i]]\n", " y = tr[names[i]][names[j]]\n", " pr = tr[names[i]][\"prob\"]\n", " s = np.argsort(x)\n", " plt.scatter(x[s], y[s], c=pr[s], s=30, lw=1)\n", "\n", " else:\n", " x = tr[names[i]][names[i]]\n", " y = tr[names[i]][\"prob\"]\n", "\n", " t, s = np.unique(x, True)\n", " f = scipy.interpolate.interp1d(t, y[s], \"slinear\")\n", " xn = np.linspace(x.min(), x.max(), 50)\n", " plt.plot(xn, f(xn), lw=1)\n", " plt.ylabel(\"prob\")\n", " ax.tick_params(labelleft=True)\n", "\n", "plt.tight_layout()" ] }, { "cell_type": "code", "execution_count": 7, "id": "c00d7d23", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[[Variables]]\n", " S0: 13408867.8 +/- 87130.3362 (0.65%) (init = 1.33579e+07)\n", " S1: 563537.064 +/- 106411.960 (18.88%) (init = 100)\n", " Kd: 58.3187767 +/- 2.24671605 (3.85%) (init = 50)\n", "[[Correlations]] (unreported correlations are < 0.250)\n", " C(S1, Kd) = -0.7123\n", " C(S0, Kd) = -0.6562\n", " C(S0, S1) = +0.2747\n", " 95.45% 68.27% _BEST_ 68.27% 95.45%\n", " S0:-217226.68396-94491.4465413408867.78781+95008.79621+219988.97144\n", " S1:-270193.31667-116252.05687563537.06418+115024.41863+263650.82002\n", " Kd: -5.32812 -2.37783 58.31878 +2.48963 +5.92424\n" ] }, { "data": { "text/plain": [ "Text(0, 0.5, 'Kd')" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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Uq1cvzZ8/Xy1atNCLL75Yaft169Zp0KBB+vWvf62OHTvqggsu0Lhx4yj0AwCAapFzBLkAMnv2bKWkpGjhwoU655xzlJqaqgsuuECdO3cOaOdyuZSYmOj/HF8gOV5tf7AAANQlt9sd8PF4PJW2Ky4u1qZNmzR8+HD/OofDoeHDh2v9+vWV7nPuuedq06ZN/uRj+/btevfdd/V///d/dX8gAACgUSPnqJ2QYH750qVLNWLECI0dO1Zr165Vu3bt9Jvf/EY333xzQLs1a9YoPj5erVq10i9/+Us9/vjjatOmTaV9lv9gp02b5l9X0w/W4/EE/EFxu911cHQAgKZoXU4XhZWGndS+xfnFkjYoJSUlYP306dM1Y8aMCu0PHTokr9erhISEgPUJCQn6/vvvK/2OX//61zp06JAGDx4sY4xKS0t16623NunhqM0JOQcAoBw5R8ML6giQ7du3a968eeratatWrlypiRMnavLkyVq8eLG/zciRI/XSSy9p9erVmj17ttauXatRo0bJ6/VW2md1P9jMzMxK95k1a5ZiYmL8n+P/EAEAUBu7d+9Wbm6u/3NsUf5UrVmzRjNnztRzzz2nL774Qm+//baWLVumxx57rM6+A/WHnAMAUJfIOWonqCNAfD6fBgwYoJkzZ0qS+vXrp2+++Ubz58/XddddJ0m66qqr/O3PPPNM9e7dW507d9aaNWs0bNiwOolj2rRpmjp1qn/Z7XaTkAAATlp0dLSio6NrbNe2bVs5nU5lZWUFrM/KylJiYmKl+zz00EO65pprdNNNN0kquzYWFBTolltu0QMPPCCHI+jzm6Ma5BwAgLpEzlE7QY04KSlJvXr1CljXs2dP7dq1q8p9OnXqpLZt2yojI6PS7Sfzg3W5XP4/OCf6BwgAgFMVFham/v37a/Xq1f51Pp9Pq1ev1sCBAyvdp7CwsELC4XQ6JUnGmPoLFnWCnAMAEAzkHGWCWgAZNGiQ0tPTA9Zt2bJFHTp0qHKfPXv2KDs7W0lJSZVuP5kfLAAAwTJ16lQ9//zzWrx4sb777jtNnDhRBQUFuuGGGyRJ1157bcBw1osvvljz5s3Ta6+9ph07dui9997TQw89pIsvvtiflAAAAByPnCPIj8BMmTJF5557rmbOnKkrrrhCn332mRYsWKAFCxZIkvLz8/XII49ozJgxSkxM1LZt23TPPfeoS5cuGjFihL+fYcOGafTo0brtttsklf1gr7vuOg0YMEDnnHOO5s6dG/CDBQCgsbjyyit18OBBPfzww8rMzFTfvn21YsUK/1xWu3btCrj78uCDD8qyLD344IPau3ev4uLidPHFF+t3v/tdsA4BAAA0AeQckmWCPHbl3//+t6ZNm6atW7cqNTVVU6dO9b8F5ujRo7rsssv05ZdfKicnR8nJybrgggv02GOPBUxy2rFjR11//fUBs90+88wzeuqpp/w/2KefflppaWknFJPb7VZMTIxyc3MZmgoAjUx9/Y4u7/eq1VcrLPLkZ2R/bdjfuX7ghJFzAEDjRc5hP0EdASJJF110kS666KJKt0VERGjlypU19rFz584K62677Tb/iBAAAAAAANC8Nb1pWwEAAAAAAGqJAggAAAAAALA9CiAAAAAAAMD2KIAAAAAAAADbowACAAAAAABsjwIIAAAAAACwPQogAAAAAADA9iiAAAAAAAAA26MAAgAAAAAAbI8CCAAAAAAAsD0KIAAAAAAAwPYogAAAAAAAANujAAIAAAAAAGyPAggAAAAAALA9CiAAAAAAAMD2KIAAAAAAAADbowACAAAAAABsjwIIAAAAAACwPQogAAAAAADA9iiAAAAAAAAA26MAAgAAAAAAbI8CCAAAAAAAsD0KIAAAAAAAwPYogAAAAAAAANujAAIAAAAAAGyPAggAAAAAALC9kGAHsHfvXt17771avny5CgsL1aVLFy1cuFADBgxQSUmJHnzwQb377rvavn27YmJiNHz4cD3xxBNKTk6uss8ZM2bokUceCVjXvXt3ff/99/V9OACAJu6b7CQ5j7pOal9voaeOowEAAHZFztHwgloAOXLkiAYNGqShQ4dq+fLliouL09atW9WqVStJUmFhob744gs99NBD6tOnj44cOaLbb79dl1xyiTZu3Fht36effrpWrVrlXw4JCXqtBwAAAAAABElQqwKzZ89WSkqKFi5c6F+Xmprq/++YmBi99957Afs888wzOuecc7Rr1y61b9++yr5DQkKUmJhY90EDAAAAAIAmJ6hzgCxdulQDBgzQ2LFjFR8fr379+un555+vdp/c3FxZlqXY2Nhq223dulXJycnq1KmTxo8fr127dlXZ1uPxyO12B3wAAADqGjkHAADBE9QCyPbt2zVv3jx17dpVK1eu1MSJEzV58mQtXry40vZFRUW69957NW7cOEVHR1fZb1pamhYtWqQVK1Zo3rx52rFjh4YMGaK8vLxK28+aNUsxMTH+T0pKSp0cHwAAwLHIOQAACB7LGGOC9eVhYWEaMGCA1q1b5183efJkff7551q/fn1A25KSEo0ZM0Z79uzRmjVrqi2AHC8nJ0cdOnTQnDlzNGHChArbPR6PPJ6fJpFxu91KSUlRbm5urb4HAFD/3G63YmJi6vx3dHm/Z/zjbjlbnPyEZN9c8RTXD1SJnAMAmg5yDvsJ6hwgSUlJ6tWrV8C6nj176q233gpYV1JSoiuuuEI//PCD3n///Vr/gGNjY9WtWzdlZGRUut3lcsnlOrk/eAAAACeKnAMAgOAJ6iMwgwYNUnp6esC6LVu2qEOHDv7l8uLH1q1btWrVKrVp06bW35Ofn69t27YpKSnplGMGAAAAAABNT1ALIFOmTNGGDRs0c+ZMZWRk6JVXXtGCBQs0adIkSWXFj1/96lfauHGjXn75ZXm9XmVmZiozM1PFxcX+foYNG6ZnnnnGv3zXXXdp7dq12rlzp9atW6fRo0fL6XRq3LhxDX6MAAAAAAAg+IL6CMzZZ5+tJUuWaNq0aXr00UeVmpqquXPnavz48ZKkvXv3aunSpZKkvn37Buz7wQcf6LzzzpMkbdu2TYcOHfJv27Nnj8aNG6fs7GzFxcVp8ODB2rBhg+Li4hrkuAAAAAAAQOMS1AKIJF100UW66KKLKt3WsWNHncgcrTt37gxYfu211+oiNAAAAAAAYBNBfQQGAAAAAACgIVAAAQAAAAAAtkcBBAAAAAAA2B4FEAAAAAAAYHsUQAAAAAAAgO1RAAEAAAAAALZHAQQAAAAAANgeBRAAAAAAAGB7FEAAAAAAAIDtUQABAAAAAAC2RwEEAAAAAADYHgUQAAAAAABgexRAAAAAAACA7VEAAQAAAAAAtkcBBAAAAAAA2B4FEAAAAAAAYHsUQAAAAAAAgO1RAAEAAAAAALZHAQQAgCB79tln1bFjR4WHhystLU2fffZZte1zcnI0adIkJSUlyeVyqVu3bnr33XcbKFoAANBUNfecIyTYAQAA0Jy9/vrrmjp1qubPn6+0tDTNnTtXI0aMUHp6uuLj4yu0Ly4u1vnnn6/4+Hi9+eabateunX744QfFxsY2fPAAAKDJIOegAAIAQFDNmTNHN998s2644QZJ0vz587Vs2TK9+OKLuu+++yq0f/HFF3X48GGtW7dOoaGhkqSOHTs2ZMgAAKAJIufgERgAAOqc2+0O+Hg8nkrbFRcXa9OmTRo+fLh/ncPh0PDhw7V+/fpK91m6dKkGDhyoSZMmKSEhQWeccYZmzpwpr9dbL8cCAAAaL3KO2mEECNBI7NyTVOW2jqftb8BIgOYtJytSjojwk9rXd7Ts7khKSkrA+unTp2vGjBkV2h86dEher1cJCQkB6xMSEvT9999X+h3bt2/X+++/r/Hjx+vdd99VRkaGfvOb36ikpETTp08/qbgBNE/H5x7kG0DDIudoeBRAgAZUXZHjRPcjOQEav927dys6Otq/7HK56qxvn8+n+Ph4LViwQE6nU/3799fevXv11FNPNdlkBEDdOdlc49h9yTWApoOco3YogAAN4FSSker6IkEBGqfo6OiAZKQqbdu2ldPpVFZWVsD6rKwsJSYmVrpPUlKSQkND5XQ6/et69uypzMxMFRcXKyws7NSCB9Bk1VW+QSEEaDrIOWqHOUCAelaXxY/K+i7/AGh6wsLC1L9/f61evdq/zufzafXq1Ro4cGCl+wwaNEgZGRny+Xz+dVu2bFFSUlKTTEQA1I36yAXIMwD7IOcoQwEEqEcnkzCsKuwS8KnNd5GgAE3P1KlT9fzzz2vx4sX67rvvNHHiRBUUFPhnaL/22ms1bdo0f/uJEyfq8OHDuv3227VlyxYtW7ZMM2fO1KRJk4J1CACasBPNN8gzgKaPnKMRPAKzd+9e3XvvvVq+fLkKCwvVpUsXLVy4UAMGDJAkGWM0ffp0Pf/888rJydGgQYM0b948de3atdp+n332WT311FPKzMxUnz599Oc//1nnnHNOQxwSUGvVJR7HbhveIqPGvhi2CjQtV155pQ4ePKiHH35YmZmZ6tu3r1asWOGfpGzXrl1yOH66X5GSkqKVK1dqypQp6t27t9q1a6fbb79d9957b7AOAUATURf5Bo/iAk0XOYdkGWNMsL78yJEj6tevn4YOHaqJEycqLi5OW7duVefOndW5c2dJ0uzZszVr1iwtXrxYqampeuihh/T111/r22+/VXh45TPmvv7667r22ms1f/58paWlae7cuXrjjTeUnp6u+Pj4GuNyu92KiYlRbm7uCT1PBVTlRO6U1GaUx/FqKoiQmMCO6ut3dHm/p/35kVOYkb1Ie347nesHThg5B+pKTTnHyeQbJ3LjhVwDdkbOYT9BHQEye/ZspaSkaOHChf51qamp/v82xmju3Ll68MEHdemll0qSXnrpJSUkJOidd97RVVddVWm/c+bM0c033+wfyjN//nwtW7ZML774ou677756PCKgdk6l+HH8/pUlKYwGAQDA/uqj+HH8flUVQ8g1ADQlQZ0DZOnSpRowYIDGjh2r+Ph49evXT88//7x/+44dO5SZmanhw4f718XExCgtLU3r16+vtM/i4mJt2rQpYB+Hw6Hhw4dXuY/H45Hb7Q74APWtpmTko5xuFT419VdVnzy3CwCNAzkHGtqJFD9OJNeoaX4y8gwATUFQCyDbt2/3z+excuVKTZw4UZMnT9bixYslSZmZmZLkfyapXEJCgn/b8Q4dOiSv11urfWbNmqWYmBj/JyUl5VQPDajWiRQ/qlpfU5JCcgIAjRc5BxrSiRY/jl8+2VyDGy4AGrugFkB8Pp/OOusszZw5U/369dMtt9yim2++WfPnz2/QOKZNm6bc3Fz/Z/fu3Q36/bCnqhKAky1+VNW2qiSF0SAA0PiQc6ChnEzxo6o2VRVDuOECoKkJ6hwgSUlJ6tWrV8C6nj176q233pIkJSYmSpKysrKUlPTTL9KsrCz17du30j7btm0rp9OprKysgPVZWVn+/o7ncrnkcrlO9jCAE1aXxY/q9h8SuyXg+6qaH4TndQGgYZFzoLE4mZzj2H1qyjWYGwRAYxTUESCDBg1Senp6wLotW7aoQ4cOksomRE1MTNTq1av9291utz799FMNHDiw0j7DwsLUv3//gH18Pp9Wr15d5T5AY3B8IvLfg8nVfmrTF6NBAABAuRPNOWrTB6NBADQFQR0BMmXKFJ177rmaOXOmrrjiCn322WdasGCBFixYIEmyLEt33HGHHn/8cXXt2tX/Gtzk5GRddtll/n6GDRum0aNH67bbbpMkTZ06Vdddd50GDBigc845R3PnzlVBQYH/rTBAMFQ3+qOyRKQmlbXpE7evQp+MBgEAAOVqk3PUVa5BngGgsQhqAeTss8/WkiVLNG3aND366KNKTU3V3LlzNX78eH+be+65RwUFBbrllluUk5OjwYMHa8WKFQoP/+l9ydu2bdOhQ4f8y1deeaUOHjyohx9+WJmZmerbt69WrFhRYWJUoDE4meJHVcr3PT45KU9MJJITAADsrqqbLnWRcxy7T3m+UVmuwSMxABojyxhjgh1EY+N2uxUTE6Pc3FxFR0cHOxw0UccP+awsGanL4kdlji2ESApITqTKR4OQmKCxq6/f0eX9nvbnR+SICK95h0r4jhZpz2+nc/3ACSPnQF2oi5zjSGaUJKlVYl6tvptcA3ZGzmE/QR0BAjRnJ5qI1Naxict/DybXOFSVkSAAANhbbXKOE80/yvON40efnuhoEHINAMEQ1ElQAdS9I5lRAclLZROZHZsIVXaXiMlRAQBoOo4vJlQ26qKuHV8oOTbXOP61uVXlGgDQ0CiAAA2kIZKRY1WXmEiBycmqwi4kJwAA2NTxj6XUlZpuulAEAdDYUAAB6klNQzvrIxlxZYYGLNfVaBAAANC41WYUyPHzdpyqEx0NUtkNF/IMAA2JAghgE+XFD1dmaKWFkGNxhwYAAJys8lzj2HzjVEaDkGcAaCgUQIB61FB3Y44veFS27vjERKp4h6YcRRAAAJqe6vKOuhp5enx+cSI3XcpRBAEQbBRAgCbu2MSjRWbFbSfyWEw5iiAAAKAqld1wKV9f02iQchRBAAQTBRAgiE7lbszxyUZ58aNF5okXQspRBAEAoPkqf6VtdY7POarKN45V1SMxFEEABAsFEKCe1cer6Y5PMI5PQKpaRxEEAAB7O9HHYGrz6G11o02PL4Sc6GiQmoog5BoA6gMFEKCJqa74EbnPW2FbTaNBKIIAAICqVFf8ONbJ5BvkGgAaGgUQoAk5keLH8UWQ8nbVJSYUQQAAsI+6Gn1aVfEjcp/X/zlWTY/FUAQBEGwUQIAGUBezstdm5EdlSUn5PlUlJhRBAACwv5PJO2qbc9T2pktNuQYA1BUKIECQVHY35tjncaubkKy6IajHqqwIUtn+p1oEAQAAjcuJ3Hw50bzjZNT2pgsTowJoCCEn2nDq1Kkn3OmcOXNOKhjAzjqetr/KC/iQ2C3+C3+fuH3+ZKBVYp4/SfAklvgTh8LEEyuC5Cc7q9zWIrOsn+MdyYzyJ0H/PZjsT44+yunmT5hWFXYJSKR27kmqkGgBgF2QA6GpOj73GN4io0Jxoaq841jH5h35yc4KN1jqKt8g1wBQ3064APLll18GLH/xxRcqLS1V9+7dJUlbtmyR0+lU//796zZCwEaqS0SOLYKciFNJRsodm5S4MkPlSSyRdGJFkOORmACwK3Ig2FFVN1/KHXvjpTp1lW+UowgCoD6d8CMwH3zwgf9z8cUX6xe/+IX27NmjL774Ql988YV2796toUOH6sILL6zPeAHbqc2jMOUJQ2XKE5D8ZOcJJSPljn91XbnK7gD9//buPSyqet/j+AdBBq9455J4QVO8W3okb9tKEjhtUzNLsrxktSstjW0XTYW0RM3MU5luL2nuk9uyth4rtx0l0TxKFsrOnsrEJC8JKntzERMU5/zhw8TIADMwF1i8X8+znpg1v/Wb7/o9xHz9rt/6rZK4FQZAbUEOhJrM0XXIyso7Ss7iKJlz2KusfKNYWbfe3ojbYQBURaXWAHn99deVkJCgpk2bWvY1bdpUr7zyil5//XWnBQcYUXlXLkomIvYUQW6cUupIIuIIe9cDISkBYHTkQKiJqrIeSEVFEEfYun23ovXHuOACwJkqVQDJzc3V+fPnS+0/f/688vKcu4ASYET2Xo0pmYyUxdZ9tY6yZxYIV2YAgBwINZc9j8Z15aKoN7In3yjGBRcAzlKpAsioUaM0adIk/f3vf9fp06d1+vRpffzxx3rkkUc0atQoZ8cI1Aq2EpGS7L0VprIcLYIU49G4MBrfzLqWRzY6uvlmVny/PGo2ciAYSXHuUdHFl/JmnzrKkVtvmXUKoyPncL9KFUBWrlyp6OhoPfjgg2rbtq3atm2rBx98UNHR0XrnnXecHSNgSK68FcZeZT0m1x48GhdAbUQOhJrM0dzD2XlHsYqKIMw6BeAqDhVA3njjDUlS/fr19c477ygrK0uHDx/W4cOH9a9//UuLFi1SZGSkSwIFjKgyt8I4KxkpLn6ULIJU5VYYrswAMDJyIBiFKxZFtYejF11YDwSAKzhUAJk1a5Y2bNhged2gQQP17NlTPXv2lCRFR0crKyvLuRECtUxFiYgzlJeEsB4IAJRGDgQjcdZ6IPYWQZxx0aUYF1wAVIVDBZC//vWv+tOf/qRt27ZZ7c/Pz1dkZKTOnTun3bt3OzVAwOhsTUet7KNx7UlEbBU/7L0qw6NxAdRW5EAwuorWAynOPW5ch6yi3OPGHMPRIkgxZp0CcAaHCiD33Xef3nrrLcXExCgpKUnS9S/+qKgoZWZmKikpSUFB/AECHOWu9UDsLXSUlZCUxK0wAGoTciAYTXkXYBxZFFUqO/eoylpjjq4HAgD2cHgR1EcffVRxcXEaMWKEkpKSFB0drV9//VW7d+9WcHDpaWoA7OPs9UBsJSMXg711Mdjb5v6SSh57Y5JT0dRUADAqciAYjaNFkKaBeeXOBLkx96go5ygv3yiJW2EAOEulngLz/PPP68knn9TQoUN15swZJSUlqXXr1s6ODah1nFkEkcovhNj6+cb2jjxul1kgAGoDciAYTWVmgpQsglQ0G6TkxZfKFD9uxCwQAFXhUAHk3nvvtWw//fST6tatqxYtWmjatGlW79krPj5eXl5eVltYWJgkKT09vdR7xdvmzZvL7HPixIml2kdFRTlymoBHOaMIYu9VmbISkeJ+AADXOTsHAqqTqhRBpNK5R0WzQSpb/LgRF1wAOMrHkcb+/v5Wr2NiYqocQLdu3bRr167fA/K5HlJISIjOnrX+Y7xq1Sq99tprio6OLrfPqKgorVu3zvLaZDJVOU7Andq1Pmv1JV6chOy61NGSiHyZ3Um9Wv5qmRbaNDDP6vaU4oSi5BoexQlHyTU+Su6/8VgAwHWuyIGA6uTG3EO6nn84mntUlHc4q/gBAJXhUAGkZFHBaQH4+CgwsPQcfW9v71L7t2zZovvvv18NGzYst0+TyWSzT6AmKS8Rka5fkSlORKTr98cWX40pLxmRricfxcmIqxKRXZc6Ws1eST8dVO5irwBQnbkiBwKqG0dyj5JFEOn33KOsCzD1M6qWc/zzfLAl5/kyu5OlKEO+AcARlVoDxJmOHTum4OBghYaGaty4cTp58qTNdikpKUpNTdXkyZMr7DMpKUmtWrVS586d9eSTTyorK6vc9gUFBcrNzbXagOqgokfk2jMtVbLvthhnFD+4LxcAykfOgerO3tyjV8tfK8w9SmLmB4DqwKMFkPDwcK1fv147duzQihUrdOLECQ0ePFh5eXml2q5du1ZdunTRgAEDyu0zKipKGzZsUGJiohYtWqQ9e/YoOjpaRUVlP4YrISFB/v7+li0kJKTK5wY4S1WKIPYUQor3uwP35gKo7cg5UBO0a3220muSVbQumSM5R8kZreVhLRAA9vJoASQ6OlpjxoxRz549FRkZqe3btys7O1sffvihVbvffvtNGzdutGv2x9ixY3XPPfeoR48eGjlypD799FN9/fXXSkpKKvOYmTNnKicnx7KdOnWqqqcGOFVliyBS2YUQWz87240JCQDUduQcqEkcKYLYMxPVmTkHs04BVIbHb4EpqUmTJurUqZPS0tKs9n/00Ue6dOmSxo8f73CfoaGhatGiRak+SzKZTGrcuLHVBlQ3jhZBbBVCSnJWIlJ8DzAAoGLkHKhpKiqCODIT1Z2YBQLAlmpVALl48aKOHz+uoCDrP1hr167VPffco5YtWzrc5+nTp5WVlVWqT6AmcqQIItm+IuPqZKSiKzIkJAAA1CzlFUEkx2aDVEV5F12YdQrAHh4tgMyYMUN79uxRenq69u/fr1GjRsnb29vq0XJpaWnau3evHn30UZt9hIWFacuWLZKuF1Cee+45JScnKz09XYmJiRoxYoQ6duyoyMhIt5wT4Gr2FEFsFUJKcudVGRISAABqPltFEE/PBuGiCwBHOfQYXGc7ffq0YmJilJWVpZYtW2rQoEFKTk62munx7rv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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "lmfit.report_fit(out.params, min_correl=0.25)\n", "\n", "ci, trace = lmfit.conf_interval(mini, res, sigmas=[1, 2], trace=True)\n", "lmfit.printfuncs.report_ci(ci)\n", "\n", "fig, axes = plt.subplots(2, 2, figsize=(12.8, 9.6), sharey=True)\n", "cx1, cy1, prob = trace[\"S0\"][\"S0\"], trace[\"S0\"][\"Kd\"], trace[\"S0\"][\"prob\"]\n", "cx2, cy2, prob2 = trace[\"S1\"][\"S1\"], trace[\"S1\"][\"Kd\"], trace[\"S1\"][\"prob\"]\n", "\n", "axes[0][0].scatter(cx1, cy1, c=prob, s=30)\n", "axes[0][0].set_xlabel(\"S0\")\n", "axes[0][0].set_ylabel(\"Kd\")\n", "\n", "axes[0][1].scatter(cx2, cy2, c=prob2, s=30)\n", "axes[0][1].set_xlabel(\"S1\")\n", "\n", "cx, cy, grid = lmfit.conf_interval2d(mini, res, \"S0\", \"Kd\", 30, 30)\n", "ctp = axes[1][0].contourf(cx, cy, grid, np.linspace(0, 1, 11))\n", "fig.colorbar(ctp, ax=axes[1][0])\n", "axes[1][0].set_xlabel(\"S0\")\n", "axes[1][0].set_ylabel(\"Kd\")\n", "\n", "cx, cy, grid = lmfit.conf_interval2d(mini, res, \"S1\", \"Kd\", 30, 30)\n", "ctp = axes[1][1].contourf(cx, cy, grid, np.linspace(0, 1, 11))\n", "fig.colorbar(ctp, ax=axes[1][1])\n", "axes[1][1].set_xlabel(\"S1\")\n", "axes[1][1].set_ylabel(\"Kd\")" ] }, { "cell_type": "code", "execution_count": 8, "id": "f64fb609", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, 'S1')" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x, y, grid = lmfit.conf_interval2d(mini, res, \"S0\", \"S1\", 30, 30)\n", "plt.contourf(x, y, grid, np.linspace(0, 1, 11))\n", "plt.xlabel(\"S0\")\n", "plt.colorbar()\n", "plt.ylabel(\"S1\")" ] }, { "cell_type": "markdown", "id": "08fcc9a0", "metadata": {}, "source": [ "## Fit titration with multiple ts\n", "\n", "For example data collected with multiple labelblocks in Tecan plate reader.\n", "\n", "“A01”: pH titration with y1 and y2." ] }, { "cell_type": "code", "execution_count": 9, "id": "2b10bf4b", "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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xy1y2
09.03000029657.022885.0
18.37333335200.016930.0
27.75000044901.09218.0
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\n", "
" ], "text/plain": [ " x y1 y2\n", "0 9.030000 29657.0 22885.0\n", "1 8.373333 35200.0 16930.0\n", "2 7.750000 44901.0 9218.0\n", "3 7.073333 53063.0 3758.0\n", "4 6.460000 54202.0 2101.0\n", "5 5.813333 54851.0 1542.0\n", "6 4.996667 51205.0 1358.0" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df = pd.read_csv(\"../../tests/data/A01.dat\", sep=\" \", names=[\"x\", \"y1\", \"y2\"])\n", "df = df[::-1].reset_index(drop=True)\n", "df" ] }, { "cell_type": "markdown", "id": "0c0035b3", "metadata": {}, "source": [ "### lmfit of single y1 using analytical Jacobian\n", "\n", "It computes the Jacobian of the fz. Mind that the residual (i.e. y - fz)\n", "will be actually minimized." ] }, { "cell_type": "code", "execution_count": 10, "id": "eb5a1993", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "1/(10**(K - x) + 1)\n", "10**(K - x)/(10**(K - x) + 1)\n", "10**(K - x)*S1_1*log(10)/(10**(K - x) + 1) - 10**(K - x)*(10**(K - x)*S1_1 + S0_1)*log(10)/(10**(K - x) + 1)**2\n" ] } ], "source": [ "import sympy\n", "\n", "x, S0_1, S1_1, K = sympy.symbols(\"x S0_1 S1_1 K\")\n", "f = (S0_1 + S1_1 * 10 ** (K - x)) / (1 + 10 ** (K - x))\n", "print(sympy.diff(f, S0_1))\n", "print(sympy.diff(f, S1_1))\n", "print(sympy.diff(f, K))" ] }, { "cell_type": "code", "execution_count": 11, "id": "5fcb2631", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "1/(1 + x/K)\n", "x/(K*(1 + x/K))\n", "-S1_1*x/(K**2*(1 + x/K)) + x*(S0_1 + S1_1*x/K)/(K**2*(1 + x/K)**2)\n" ] } ], "source": [ "f2 = (S0_1 + S1_1 * x / K) / (1 + x / K)\n", "print(sympy.diff(f2, S0_1))\n", "print(sympy.diff(f2, S1_1))\n", "print(sympy.diff(f2, K))" ] }, { "cell_type": "code", "execution_count": 12, "id": "eb6bcffb", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[[Fit Statistics]]\n", " # fitting method = leastsq\n", " # function evals = 9\n", " # data points = 7\n", " # variables = 3\n", " chi-square = 12308015.2\n", " reduced chi-square = 3077003.79\n", " Akaike info crit = 106.658958\n", " Bayesian info crit = 106.496688\n", "[[Variables]]\n", " S0: 26638.8377 +/- 2455.91825 (9.22%) (init = 25000)\n", " S1: 54043.3592 +/- 979.995977 (1.81%) (init = 50000)\n", " K: 8.06961091 +/- 0.14940678 (1.85%) (init = 7)\n", "[[Correlations]] (unreported correlations are < 0.100)\n", " C(S0, K) = -0.7750\n", " C(S1, K) = -0.4552\n", " C(S0, S1) = +0.2046\n", "None\n", " 99.73% 95.45% 68.27% _BEST_ 68.27% 95.45% 99.73%\n", " S0:-85235.74104-8376.40372-2895.5618126638.83771+2558.77424+5999.31275+12360.60692\n", " S1:-6192.81418-2734.30623-1098.2204254043.35921+1113.18257+2829.54298+6725.37841\n", " K : -0.98139 -0.40197 -0.15949 8.06961 +0.16276 +0.42591 +1.50918\n" ] } ], "source": [ "def residual(pars, x, data):\n", " S0 = pars[\"S0\"]\n", " S1 = pars[\"S1\"]\n", " K = pars[\"K\"]\n", " # model = (S0 + S1 * x / Kd) / (1 + x / Kd)\n", " x = np.array(x)\n", " y = np.array(data)\n", " model = (S0 + S1 * 10 ** (K - x)) / (1 + 10 ** (K - x))\n", " if data is None:\n", " return model\n", " return y - model\n", "\n", "\n", "# Try Jacobian\n", "def dfunc(pars, x, data=None):\n", " S0_1 = pars[\"S0\"]\n", " S1_1 = pars[\"S1\"]\n", " K = pars[\"K\"]\n", " kx = np.array(10 ** (K - x))\n", " return np.array(\n", " [\n", " -1 / (kx + 1),\n", " -kx / (kx + 1),\n", " -kx * np.log(10) * (S1_1 / (kx + 1) - (kx * S1_1 + S0_1) / (kx + 1) ** 2),\n", " ]\n", " )\n", " # kx * S1_1 * np.log(10) / (kx + 1) - kx * (kx * S1_1 + S0_1) * np.log(10) / (kx + 1)**2])\n", "\n", "\n", "params = lmfit.Parameters()\n", "params.add(\"S0\", value=25000)\n", "params.add(\"S1\", value=50000, min=0.0)\n", "params.add(\"K\", value=7, min=2.0, max=12.0)\n", "\n", "# out = lmfit.minimize(residual, params, args=(df.x,), kws={'data':df.y1})\n", "# mini = lmfit.Minimizer(residual, params, fcn_args=(df.x, df.y2))\n", "mini = lmfit.Minimizer(residual, params, fcn_args=(df.x,), fcn_kws={\"data\": df.y1})\n", "# res= mini.minimize()\n", "res = mini.leastsq(Dfun=dfunc, col_deriv=True, ftol=1e-8)\n", "\n", "fit = residual(params, df.x, None)\n", "print(lmfit.report_fit(res))\n", "\n", "ci = lmfit.conf_interval(mini, res, sigmas=[1, 2, 3])\n", "lmfit.printfuncs.report_ci(ci)" ] }, { "cell_type": "code", "execution_count": 13, "id": "cc9bcf71", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " 99.73% 95.45% 68.27% _BEST_ 68.27% 95.45% 99.73%\n", " S0:-58596.9018262.4323743.2826638.8429197.6132638.1538999.44\n", " S1:47850.5551309.0552945.1454043.3655156.5456872.9060768.74\n", " K : 7.09 7.67 7.91 8.07 8.23 8.50 9.58\n" ] } ], "source": [ "print(lmfit.ci_report(ci, with_offset=False, ndigits=2))" ] }, { "cell_type": "markdown", "id": "25441b0d", "metadata": {}, "source": [ "#### emcee" ] }, { "cell_type": "code", "execution_count": 14, "id": "2cf6682d", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "100%|██████████| 1000/1000 [00:11<00:00, 90.89it/s]\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "The chain is shorter than 50 times the integrated autocorrelation time for 4 parameter(s). Use this estimate with caution and run a longer chain!\n", "N/50 = 20;\n", "tau: [36.01534895 31.14085481 31.73843752 49.51739801]\n" ] } ], "source": [ "res.params.add(\"__lnsigma\", value=np.log(0.1), min=np.log(0.001), max=np.log(1e4))\n", "resMC = lmfit.minimize(\n", " residual, method=\"emcee\", nan_policy=\"omit\", params=res.params, args=(df.x, df.y1)\n", ")" ] }, { "cell_type": "code", "execution_count": 15, "id": "78c0a566", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, 'acceptance frac')" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(resMC.acceptance_fraction, \"o\")\n", "plt.xlabel(\"walker\")\n", "plt.ylabel(\"acceptance frac\")" ] }, { "cell_type": "code", "execution_count": 16, "id": "545cef69", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "WARNING:root:Pandas support in corner is deprecated; use ArviZ directly\n", "WARNING:root:Too few points to create valid contours\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import corner\n", "\n", "tr = [v for v in resMC.params.valuesdict().values()]\n", "emcee_plot = corner.corner(\n", " resMC.flatchain,\n", " labels=resMC.var_names,\n", " truths=list(resMC.params.valuesdict().values()),\n", ")\n", "# truths=tr[:-1])" ] }, { "cell_type": "markdown", "id": "6935d719", "metadata": {}, "source": [ "### using lmfit with np.r\\_ trick" ] }, { "cell_type": "code", "execution_count": 17, "id": "9eb6e09a", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[[Fit Statistics]]\n", " # fitting method = leastsq\n", " # function evals = 37\n", " # data points = 14\n", " # variables = 5\n", " chi-square = 12471473.3\n", " reduced chi-square = 1385719.25\n", " Akaike info crit = 201.798560\n", " Bayesian info crit = 204.993846\n", "[[Variables]]\n", " K: 8.07255029 +/- 0.07600777 (0.94%) (init = 7)\n", " S0_1: 26601.3458 +/- 1425.69913 (5.36%) (init = 29657)\n", " S0_2: 25084.4189 +/- 1337.07982 (5.33%) (init = 22885)\n", " S1_1: 54034.5806 +/- 627.642479 (1.16%) (init = 51205)\n", " S1_2: 1473.57871 +/- 616.944649 (41.87%) (init = 1358)\n", "[[Correlations]] (unreported correlations are < 0.100)\n", " C(K, S0_1) = -0.6816\n", " C(K, S0_2) = +0.6255\n", " C(S0_1, S0_2) = -0.4264\n", " C(K, S1_1) = -0.3611\n", " C(K, S1_2) = +0.3161\n", " C(S0_2, S1_1) = -0.2259\n", " C(S0_1, S1_2) = -0.2155\n", " C(S1_1, S1_2) = -0.1141\n", " 95.00% 68.00% _BEST_ 68.00% 95.00%\n", " K : 7.91 7.99 8.07 8.15 8.24\n", " S0_1:23210.9025078.6226601.3528045.4929623.53\n", " S0_2:22232.9723723.9425084.4226514.8828263.75\n", " S1_1:52629.0453378.2454034.5854695.2655460.17\n", " S1_2: 72.04 824.011473.582118.982855.89\n" ] } ], "source": [ "# %%timeit #62ms\n", "def residual2(pars, x, data=None):\n", " K = pars[\"K\"]\n", " S0_1 = pars[\"S0_1\"]\n", " S1_1 = pars[\"S1_1\"]\n", " S0_2 = pars[\"S0_2\"]\n", " S1_2 = pars[\"S1_2\"]\n", " model_0 = (S0_1 + S1_1 * 10 ** (K - x[0])) / (1 + 10 ** (K - x[0]))\n", " model_1 = (S0_2 + S1_2 * 10 ** (K - x[1])) / (1 + 10 ** (K - x[1]))\n", " if data is None:\n", " return np.r_[model_0, model_1]\n", " return np.r_[data[0] - model_0, data[1] - model_1]\n", "\n", "\n", "params2 = lmfit.Parameters()\n", "params2.add(\"K\", value=7.0, min=2.0, max=12.0)\n", "params2.add(\"S0_1\", value=df.y1[0], min=0.0)\n", "params2.add(\"S0_2\", value=df.y2[0], min=0.0)\n", "params2.add(\"S1_1\", value=df.y1.iloc[-1], min=0.0)\n", "params2.add(\"S1_2\", value=df.y2.iloc[-1], min=0.0)\n", "mini2 = lmfit.Minimizer(\n", " residual2, params2, fcn_args=([df.x, df.x],), fcn_kws={\"data\": [df.y1, df.y2]}\n", ")\n", "res2 = mini2.minimize()\n", "print(lmfit.fit_report(res2))\n", "\n", "ci2, tr2 = lmfit.conf_interval(mini2, res2, sigmas=[0.68, 0.95], trace=True)\n", "print(lmfit.ci_report(ci2, with_offset=False, ndigits=2))" ] }, { "cell_type": "code", "execution_count": 18, "id": "c0ca720c", "metadata": {}, "outputs": [ { "data": { 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "xfit = np.linspace(df.x.min(), df.x.max(), 100)\n", "yfit0 = residual2(params2, [xfit, xfit])\n", "yfit0 = yfit0.reshape(2, 100)\n", "yfit = residual2(res2.params, [xfit, xfit])\n", "yfit = yfit.reshape(2, 100)\n", "plt.plot(df.x, df.y1, \"o\", df.x, df.y2, \"s\")\n", "plt.plot(xfit, yfit[0], \"-\", xfit, yfit[1], \"-\")\n", "plt.plot(xfit, yfit0[0], \"--\", xfit, yfit0[1], \"--\")\n", "plt.grid(True)" ] }, { "cell_type": "markdown", "id": "858520a4", "metadata": {}, "source": [ "### lmfit constraints aiming for generality\n", "\n", "I believe a name convention would be more robust than relying on\n", "OrderedDict Params object." ] }, { "cell_type": "code", "execution_count": 19, "id": "337512a3", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "'S0'" ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" } ], "source": [ "\"S0_1\".split(\"_\")[0]" ] }, { "cell_type": "code", "execution_count": 20, "id": "95a290f3", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[-29854.26823732 -30530.32007939 -32908.60749879 -39523.42660007\n", " -46381.47878947 -49888.5091843 -50993.25866394]\n", "[ -199.23823732 4667.87992061 11990.69250121 13539.47339993\n", " 7820.42121053 4962.3308157 211.73133606 199.04406603\n", " -5080.73278499 -10416.86307191 -9270.08900503 -4075.72045662\n", " -1131.04796128 -211.52498939]\n" ] } ], "source": [ "def exception_fcn_handler(func):\n", " def inner_function(*args, **kwargs):\n", " try:\n", " return func(*args, **kwargs)\n", " except TypeError:\n", " print(\n", " f\"{func.__name__} only takes (1D) vector as argument besides lmfit.Parameters.\"\n", " )\n", "\n", " return inner_function\n", "\n", "\n", "@exception_fcn_handler\n", "def titration_pH(params, pH):\n", " p = {k.split(\"_\")[0]: v for k, v in params.items()}\n", " return (p[\"S0\"] + p[\"S1\"] * 10 ** (p[\"K\"] - pH)) / (1 + 10 ** (p[\"K\"] - pH))\n", "\n", "\n", "def residues(params, x, y, fcn):\n", " return y - fcn(params, x)\n", "\n", "\n", "p1 = lmfit.Parameters()\n", "p2 = lmfit.Parameters()\n", "p1.add(\"K_1\", value=7.0, min=2.0, max=12.0)\n", "p2.add(\"K_2\", value=7.0, min=2.0, max=12.0)\n", "p1.add(\"S0_1\", value=df.y1.iloc[0], min=0.0)\n", "p2.add(\"S0_2\", value=df.y2.iloc[0], min=0.0)\n", "p1.add(\"S1_1\", value=df.y1.iloc[-1], min=0.0)\n", "p2.add(\"S1_2\", value=df.y2.iloc[-1])\n", "\n", "print(\n", " residues(p1, np.array(df.x), [1.97, 1.8, 1.7, 0.1, 0.1, 0.16, 0.01], titration_pH)\n", ")\n", "\n", "\n", "def gobjective(params, xl, yl, fcnl):\n", " nset = len(xl)\n", " res = []\n", " for i in range(nset):\n", " pi = {k: v for k, v in params.valuesdict().items() if k[-1] == f\"{i+1}\"}\n", " res = np.r_[res, residues(pi, xl[i], yl[i], fcnl[i])]\n", " # res = np.r_[res, yl[i] - fcnl[i](parsl[i], x[i])]\n", " return res\n", "\n", "\n", "print(gobjective(p1 + p2, [df.x, df.x], [df.y1, df.y2], [titration_pH, titration_pH]))" ] }, { "cell_type": "markdown", "id": "659d47b2", "metadata": {}, "source": [ "Here single." ] }, { "cell_type": "code", "execution_count": 21, "id": "82b1f8ca", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[[Fit Statistics]]\n", " # fitting method = leastsq\n", " # function evals = 25\n", " # data points = 7\n", " # variables = 3\n", " chi-square = 12308015.2\n", " reduced chi-square = 3077003.79\n", " Akaike info crit = 106.658958\n", " Bayesian info crit = 106.496688\n", "[[Variables]]\n", " K_1: 8.06961042 +/- 0.14940740 (1.85%) (init = 7)\n", " S0_1: 26638.8440 +/- 2455.92762 (9.22%) (init = 29657)\n", " S1_1: 54043.3607 +/- 979.995185 (1.81%) (init = 51205)\n", "[[Correlations]] (unreported correlations are < 0.100)\n", " C(K_1, S0_1) = -0.7750\n", " C(K_1, S1_1) = -0.4552\n", " C(S0_1, S1_1) = +0.2046\n", "None\n", " 95.45% 68.27% _BEST_ 68.27% 95.45%\n", " K_1 : -0.40197 -0.15948 8.06961 +0.16276 +0.42592\n", " S0_1:-8376.39586-2895.5681226638.84401+2558.76794+5999.32366\n", " S1_1:-2734.30835-1098.2218354043.36069+1113.18102+2829.55353\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "mini = lmfit.Minimizer(\n", " residues,\n", " p1,\n", " fcn_args=(\n", " df.x,\n", " df.y1,\n", " titration_pH,\n", " ),\n", ")\n", "res = mini.minimize()\n", "\n", "fit = titration_pH(res.params, df.x)\n", "print(lmfit.report_fit(res))\n", "plt.plot(df.x, df.y1, \"o\", df.x, fit, \"--\")\n", "ci = lmfit.conf_interval(mini, res, sigmas=[1, 2])\n", "lmfit.printfuncs.report_ci(ci)" ] }, { "cell_type": "markdown", "id": "20510e2e", "metadata": {}, "source": [ "Now global." ] }, { "cell_type": "code", "execution_count": 22, "id": "0f84dc77", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[[Fit Statistics]]\n", " # fitting method = leastsq\n", " # function evals = 37\n", " # data points = 14\n", " # variables = 5\n", " chi-square = 12471473.3\n", " reduced chi-square = 1385719.25\n", " Akaike info crit = 201.798560\n", " Bayesian info crit = 204.993846\n", "[[Variables]]\n", " K_1: 8.07255029 +/- 0.07600777 (0.94%) (init = 7)\n", " S0_1: 26601.3458 +/- 1425.69913 (5.36%) (init = 29657)\n", " S1_1: 54034.5806 +/- 627.642480 (1.16%) (init = 51205)\n", " K_2: 8.07255029 +/- 0.07600777 (0.94%) == 'K_1'\n", " S0_2: 25084.4189 +/- 1337.07982 (5.33%) (init = 22885)\n", " S1_2: 1473.57871 +/- 616.944649 (41.87%) (init = 1358)\n", "[[Correlations]] (unreported correlations are < 0.100)\n", " C(K_1, S0_1) = -0.6816\n", " C(K_1, S0_2) = +0.6255\n", " C(S0_1, S0_2) = -0.4264\n", " C(K_1, S1_1) = -0.3611\n", " C(K_1, S1_2) = +0.3161\n", " C(S1_1, S0_2) = -0.2259\n", " C(S0_1, S1_2) = -0.2155\n", " C(S1_1, S1_2) = -0.1141\n" ] }, { "data": { "text/plain": [ "[,\n", " ]" ] }, "execution_count": 22, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pg = p1 + p2\n", "pg[\"K_2\"].expr = \"K_1\"\n", "gmini = lmfit.Minimizer(\n", " gobjective,\n", " pg,\n", " fcn_args=([df.x[:], df.x], [df.y1[:], df.y2], [titration_pH, titration_pH]),\n", ")\n", "gres = gmini.minimize()\n", "print(lmfit.fit_report(gres))\n", "\n", "pp1 = {k: v for k, v in gres.params.valuesdict().items() if k.split(\"_\")[1] == f\"{1}\"}\n", "pp2 = {k: v for k, v in gres.params.valuesdict().items() if k.split(\"_\")[1] == f\"{2}\"}\n", "xfit = np.linspace(df.x.min(), df.x.max(), 100)\n", "yfit1 = titration_pH(pp1, xfit)\n", "yfit2 = titration_pH(pp2, xfit)\n", "plt.plot(df.x, df.y1, \"o\", xfit, yfit1, \"--\")\n", "plt.plot(df.x, df.y2, \"s\", xfit, yfit2, \"--\")" ] }, { "cell_type": "code", "execution_count": 23, "id": "2ec3189a", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " 99.73% 95.45% 68.27% _BEST_ 68.27% 95.45% 99.73%\n", " K_1 : 7.77 7.90 7.99 8.07 8.15 8.25 8.38\n", " S0_1:20066.1223118.2625069.3726601.3528053.8229696.8331876.24\n", " S1_1:51504.2152593.4753374.3654034.5854699.1855496.7856630.81\n", " S0_2:20096.2422163.6223716.0825084.4226523.5528350.2131192.55\n", " S1_2:-1078.82 36.05 820.171473.582122.782890.883962.77\n" ] } ], "source": [ "ci = lmfit.conf_interval(gmini, gres)\n", "print(lmfit.ci_report(ci, with_offset=False, ndigits=2))" ] }, { "cell_type": "markdown", "id": "fae5d0aa", "metadata": {}, "source": [ "To plot ci for the 5 parameters." ] }, { "cell_type": "code", "execution_count": 24, "id": "53b39037", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, 'pK1')" ] }, "execution_count": 24, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, axes = plt.subplots(1, 4, figsize=(24.2, 4.8), sharey=True)\n", "cx, cy, grid = lmfit.conf_interval2d(gmini, gres, \"S0_1\", \"K_1\", 25, 25)\n", "ctp = axes[0].contourf(cx, cy, grid, np.linspace(0, 1, 11))\n", "fig.colorbar(ctp, ax=axes[0])\n", "axes[0].set_xlabel(\"SA1\")\n", "axes[0].set_ylabel(\"pK1\")\n", "cx, cy, grid = lmfit.conf_interval2d(gmini, gres, \"S0_2\", \"K_1\", 25, 25)\n", "ctp = axes[1].contourf(cx, cy, grid, np.linspace(0, 1, 11))\n", "fig.colorbar(ctp, ax=axes[1])\n", "axes[1].set_xlabel(\"SA2\")\n", "axes[1].set_ylabel(\"pK1\")\n", "cx, cy, grid = lmfit.conf_interval2d(gmini, gres, \"S1_1\", \"K_1\", 25, 25)\n", "ctp = axes[2].contourf(cx, cy, grid, np.linspace(0, 1, 11))\n", "fig.colorbar(ctp, ax=axes[2])\n", "axes[2].set_xlabel(\"SB1\")\n", "axes[2].set_ylabel(\"pK1\")\n", "cx, cy, grid = lmfit.conf_interval2d(gmini, gres, \"S1_2\", \"K_1\", 25, 25)\n", "ctp = axes[3].contourf(cx, cy, grid, np.linspace(0, 1, 11))\n", "fig.colorbar(ctp, ax=axes[3])\n", "axes[3].set_xlabel(\"SB2\")\n", "axes[3].set_ylabel(\"pK1\")" ] }, { "cell_type": "code", "execution_count": 25, "id": "9f450027", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 25, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(np.r_[df.x, df.x], gres.residual, \"o\")" ] }, { "cell_type": "markdown", "id": "3dcfdcd4", "metadata": {}, "source": [ "#### emcee" ] }, { "cell_type": "code", "execution_count": 26, "id": "79f7e467", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "100%|██████████| 1000/1000 [02:48<00:00, 5.95it/s]\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "The chain is shorter than 50 times the integrated autocorrelation time for 6 parameter(s). Use this estimate with caution and run a longer chain!\n", "N/50 = 20;\n", "tau: [36.71359231 44.74326834 40.73146614 39.35657715 43.99983353 67.46082702]\n" ] } ], "source": [ "gmini.params.add(\"__lnsigma\", value=np.log(0.1), min=np.log(0.001), max=np.log(20000))\n", "gresMC = lmfit.minimize(\n", " gobjective,\n", " method=\"emcee\",\n", " nan_policy=\"omit\",\n", " params=gmini.params,\n", " args=([df.x, df.x], [df.y1, df.y2], [titration_pH, titration_pH]),\n", ")" ] }, { "cell_type": "markdown", "id": "ffe020de", "metadata": {}, "source": [ "This next block comes from:\n", "" ] }, { "cell_type": "code", "execution_count": 27, "id": "e30c6145", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, 'acceptance frac')" ] }, "execution_count": 27, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(gresMC.acceptance_fraction, \"o\")\n", "plt.xlabel(\"walker\")\n", "plt.ylabel(\"acceptance frac\")" ] }, { "cell_type": "code", "execution_count": 28, "id": "fdb3c31a", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "WARNING:root:Pandas support in corner is deprecated; use ArviZ directly\n", "WARNING:root:Too few points to create valid contours\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import corner\n", "\n", "tr = [v for v in gresMC.params.valuesdict().values()]\n", "emcee_plot = corner.corner(gresMC.flatchain, labels=gresMC.var_names, truths=tr[:-1])" ] }, { "cell_type": "code", "execution_count": 29, "id": "d774c587", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[[Variables]]\n", " K_1: 8.07254988 +/- 6.3733e-05 (0.00%) (init = 8.07255)\n", " S0_1: 26601.3509 +/- 1.20402118 (0.00%) (init = 26601.35)\n", " S1_1: 54034.5743 +/- 0.56681339 (0.00%) (init = 54034.58)\n", " K_2: 8.07254988 == 'K_1'\n", " S0_2: 25084.4236 +/- 1.14204011 (0.00%) (init = 25084.42)\n", " S1_2: 1473.59159 +/- 0.51596582 (0.04%) (init = 1473.579)\n", " __lnsigma: -1.63343046 +/- 4.83356099 (295.91%) (init = -2.302585)\n", "[[Correlations]] (unreported correlations are < 0.100)\n", " C(K_1, S0_1) = -0.4722\n", " C(K_1, S0_2) = +0.4618\n", " C(S0_1, S0_2) = -0.3722\n", " C(K_1, S1_1) = -0.2414\n", " C(K_1, S1_2) = +0.2090\n", " C(S0_1, S1_2) = -0.1930\n", " C(S1_1, S0_2) = -0.1591\n" ] } ], "source": [ "lmfit.report_fit(gresMC.params)" ] }, { "cell_type": "code", "execution_count": 30, "id": "fa40c3d8", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", "Maximum Likelihood Estimation from emcee\n", "-------------------------------------------------\n", "Parameter MLE Value Median Value Uncertainty\n", "K_1 8.07255 8.07255 0.00006\n", "S0_1 26601.18265 26601.35094 1.20402\n", "S1_1 54034.56651 54034.57435 0.56681\n", "K_2 8.07255 8.07255 None\n", "S0_2 1473.64690 25084.42361 1.14204\n", "S1_2 -5.59259 1473.59159 0.51597\n" ] } ], "source": [ "highest_prob = np.argmax(gresMC.lnprob)\n", "hp_loc = np.unravel_index(highest_prob, gresMC.lnprob.shape)\n", "mle_soln = gresMC.chain[hp_loc]\n", "for i, par in enumerate(pg):\n", " pg[par].value = mle_soln[i]\n", "\n", "header = \"\\nMaximum Likelihood Estimation from emcee\"\n", "line = \"-------------------------------------------------\"\n", "format_string = \"{:<5s} {:>11s} {:>11s} {:>11s}\"\n", "\n", "print(f\"{header}\\n{line}\")\n", "print(format_string.format(\"Parameter\", \"MLE Value\", \"Median Value\", \"Uncertainty\"))\n", "\n", "for name, param in pg.items():\n", " mle_value = f\"{param.value:.5f}\"\n", " median_value = f\"{gresMC.params[name].value:.5f}\"\n", " uncertainty = (\n", " \"None\"\n", " if gresMC.params[name].stderr is None\n", " else f\"{gresMC.params[name].stderr:.5f}\"\n", " )\n", " print(format_string.format(name, mle_value, median_value, uncertainty))" ] }, { "cell_type": "code", "execution_count": 31, "id": "02dbcbc8", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", "Error estimates from emcee:\n", "------------------------------------------------------\n", "Parameter -2sigma -1sigma median +1sigma +2sigma\n", " K_1 -0.0001 -0.0001 0.0000 0.0001 0.0001\n", " S0_1 -2.4692 -1.2159 0.0000 1.1926 2.2931\n", " S1_1 -1.1518 -0.5598 0.0000 0.5741 1.1041\n", "Key 'K_2' not found in gresMC.flatchain.\n", " S0_2 -2.2575 -1.1402 0.0000 1.1445 2.2271\n", " S1_2 -1.0474 -0.5197 0.0000 0.5125 1.0101\n" ] } ], "source": [ "print(\"\\nError estimates from emcee:\")\n", "print(\"------------------------------------------------------\")\n", "print(\"Parameter -2sigma -1sigma median +1sigma +2sigma\")\n", "\n", "format_string = \" {:5s} {:8.4f} {:8.4f} {:8.4f} {:8.4f} {:8.4f}\"\n", "\n", "for name in pg.keys():\n", " if name in gresMC.flatchain:\n", " quantiles = np.percentile(\n", " gresMC.flatchain[name], [2.275, 15.865, 50, 84.135, 97.275]\n", " )\n", " median = quantiles[2]\n", " errors = quantiles - median\n", " print(format_string.format(name, *errors))\n", " else:\n", " print(f\"Key '{name}' not found in gresMC.flatchain.\")" ] }, { "cell_type": "code", "execution_count": 32, "id": "8ca1ec73", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "100%|██████████| 500/500 [01:28<00:00, 5.64it/s]\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "The chain is shorter than 50 times the integrated autocorrelation time for 6 parameter(s). Use this estimate with caution and run a longer chain!\n", "N/50 = 10;\n", "tau: [41.43608937 38.26073716 41.64620364 41.45277181 43.73839237 55.06682383]\n", "[[Fit Statistics]]\n", " # fitting method = emcee\n", " # function evals = 50000\n", " # data points = 14\n", " # variables = 6\n", " chi-square = 3119313.76\n", " reduced chi-square = 389914.221\n", " Akaike info crit = 184.396928\n", " Bayesian info crit = 188.231272\n", "[[Variables]]\n", " K_1: 8.07377845 +/- 0.08659606 (1.07%) (init = 8.07255)\n", " S0_1: 26594.2765 +/- 2344.99613 (8.82%) (init = 26601.35)\n", " S1_1: 54026.3984 +/- 563.263532 (1.04%) (init = 54034.58)\n", " K_2: 8.07377845 == 'K_1'\n", " S0_2: 25089.9684 +/- 948.437394 (3.78%) (init = 25084.42)\n", " S1_2: 1493.60468 +/- 242.550345 (16.24%) (init = 1473.579)\n", " __lnsigma: 0.69298263 +/- 0.04693269 (6.77%) (init = -2.302585)\n", "[[Correlations]] (unreported correlations are < 0.100)\n", " C(K_1, S0_1) = -0.9674\n", " C(S0_1, S1_2) = -0.9653\n", " C(K_1, S1_1) = -0.9510\n", " C(S0_1, S1_1) = +0.9506\n", " C(S1_1, S1_2) = -0.9274\n", " C(K_1, S1_2) = +0.9264\n", " C(K_1, S0_2) = +0.8727\n", " C(S1_1, S0_2) = -0.8094\n", " C(S0_1, S0_2) = -0.7885\n", " C(S0_2, S1_2) = +0.7313\n", " C(S1_1, __lnsigma) = +0.2094\n", " C(S0_1, __lnsigma) = +0.2085\n", " C(S1_2, __lnsigma) = -0.1999\n", " C(K_1, __lnsigma) = -0.1780\n", " C(S0_2, __lnsigma) = -0.1068\n" ] } ], "source": [ "emcee_params = gmini.params.copy()\n", "emcee_params.add(\"__lnsigma\", value=np.log(0.1), min=np.log(0.001), max=np.log(2.0))\n", "\n", "mi = lmfit.Minimizer(\n", " gobjective,\n", " emcee_params,\n", " fcn_args=([df.x, df.x], [df.y1, df.y2], [titration_pH, titration_pH]),\n", ")\n", "\n", "res_emcee = mi.minimize(method=\"emcee\", steps=500, burn=50, thin=20, is_weighted=False)\n", "\n", "lmfit.report_fit(res_emcee)" ] }, { "cell_type": "markdown", "id": "41b6a2c0", "metadata": {}, "source": [ "### bootstrap con pandas" ] }, { "cell_type": "code", "execution_count": 33, "id": "196ca868", "metadata": {}, "outputs": [], "source": [ "for i in range(100):\n", " tdf = pd.DataFrame([(j, i) for i in range(7) for j in range(2)]).sample(\n", " 14, replace=True, ignore_index=False\n", " )\n", " df1 = df[[\"x\", \"y1\"]].iloc[np.array(tdf[tdf[0] == 0][1])]\n", " df2 = df[[\"x\", \"y2\"]].iloc[np.array(tdf[tdf[0] == 1][1])]" ] }, { "cell_type": "code", "execution_count": 34, "id": "17534753", "metadata": {}, "outputs": [], "source": [ "def idx_sample(npoints):\n", " tidx = []\n", " for i in range(npoints):\n", " tidx.append((np.random.randint(2), np.random.randint(7)))\n", " idx1 = []\n", " idx2 = []\n", " for t in tidx:\n", " if t[0] == 0:\n", " idx1.append(t[1])\n", " elif t[0] == 1:\n", " idx2.append(t[1])\n", " else:\n", " raise Exception(\"Must never occur\")\n", " return idx1, idx2\n", "\n", "\n", "for i in range(100):\n", " idx1, idx2 = idx_sample(14)\n", " df1 = (\n", " df[[\"x\", \"y1\"]]\n", " .iloc[idx1]\n", " .sort_values(by=\"x\", ascending=False)\n", " .reset_index(drop=True)\n", " )\n", " df2 = (\n", " df[[\"x\", \"y2\"]]\n", " .iloc[idx2]\n", " .sort_values(by=\"x\", ascending=False)\n", " .reset_index(drop=True)\n", " )" ] }, { "cell_type": "code", "execution_count": 35, "id": "6746ae39", "metadata": {}, "outputs": [], "source": [ "n_points = len(df)\n", "nboot = 199\n", "np.random.seed(5)\n", "best = lmfit.minimize(\n", " gobjective,\n", " pg,\n", " args=([df.x[1:], df.x], [df.y1[1:], df.y2], [titration_pH, titration_pH]),\n", ")\n", "nb = {k: [] for k in best.params.keys()}\n", "\n", "for i in range(nboot):\n", " idx1, idx2 = idx_sample(13)\n", " df1 = (\n", " df[[\"x\", \"y1\"]]\n", " .iloc[idx1]\n", " .sort_values(by=\"x\", ascending=False)\n", " .reset_index(drop=True)\n", " )\n", " df2 = (\n", " df[[\"x\", \"y2\"]]\n", " .iloc[idx2]\n", " .sort_values(by=\"x\", ascending=False)\n", " .reset_index(drop=True)\n", " )\n", " # boot_idxs = np.random.randint(0, n_points, n_points)\n", " # df2 = df.iloc[boot_idxs]\n", " # df2=df2.sort_values(by=\"x\", ascending=False).reset_index(drop=True)\n", " # # df2.reset_index(drop=True, inplace=True)\n", " # boot_idxs = np.random.randint(0, n_points, n_points)\n", " # df3 = df.iloc[boot_idxs]\n", " # # df3.reset_index(drop=True, inplace=True)\n", " # df3=df3.sort_values(by=\"x\", ascending=False).reset_index(drop=True)\n", " try:\n", " out = lmfit.minimize(\n", " gobjective,\n", " best.params,\n", " args=([df1.x, df2.x], [df1.y1, df2.y2], [titration_pH, titration_pH]),\n", " calc_covar=False,\n", " method=\"leastsq\",\n", " nan_policy=\"omit\",\n", " scale_covar=False,\n", " )\n", " for k, v in out.params.items():\n", " nb[k].append(v.value)\n", " except:\n", " print(df1)\n", " print(df2)\n", "\n", "# print(nb)" ] }, { "cell_type": "code", "execution_count": 36, "id": "e7564db8", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([7.97738171, 8.07819767, 8.64995708])" ] }, "execution_count": 36, "metadata": {}, "output_type": "execute_result" } ], "source": [ "np.quantile(nb[\"K_1\"], [0.025, 0.5, 0.975])" ] }, { "cell_type": "code", "execution_count": 37, "id": "ccaa5b3d", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 37, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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ySvF20fDdtEE8ODQCVQtI/BZCiNZEAiLRprg72jF3TBcA3l97jI3xuZd9DCazwu8xJxnx/mY+3pCI0awwupsff//f1VzVQgpGCiFEa9NsKlULcbmM7xvEtsR8lu3P4MHv9/LObb0YV72UdinpjWb+jsvis41JJOSUApYikS/d1JUxPQIu+esLIYQ4OwmIRJujUql4a0JPdEYTqw5lM+vnWLYcy+PZGzrj6+rQ6K93sqiCZTEZ/LArlRytpXq6m4Mtj1wTydQrOuBob9PorymEEKJhZNt9Pci2+9bJaDLz8YZEPt5wHLMCTvY2TBwYyp0DQujo53rBz6soCifyy9kYn8s/R3LYnVxoPebjqmHK4PZMGdIBdyepPC2EEJdSQz6/JSCqBwmIWreYtCJeWX6E2PRi632Rvi5c19mXHsHudAt0J9DDAY3tmTM5eqOZzOJKkvPLScwtIza9mP1pRWSWnCr+qFLBkHAvbusXzNieAXU+jxBCiMYnAVEjk4Co9VMUhU0JefywM5Wtx/PRm87cku/qYIurxhaVSoWiKJRUGijXm+p8PnsbNYPCPRnWyYcbegQQ6CFNhIUQ4nJryOe35BAJgSWvaHhnX4Z39kVbZWBjfC57Ugo5lKElPkuLzmimtMpIaZXxjMc62Knp4OVMmLczPYLd6R3iQa9gD5w18uclhBAthbxjC/Evbg523NI7iFt6W3ae1cwG5ZfpKNeZUAAV4OZoRzsnO9wc7KSIohBCtHASEAlxHiqVCg8nezycmlfvMyGEEI1HCjMKIYQQos2TgEgIIYQQbZ4EREIIIYRo8yQgEkIIIUSbJwGREEIIIdo8CYiEEEII0eZJQCSEEEKINk8CIiGEEEK0eRIQCSGEEKLNk4BICCGEEG2eBERCCCGEaPMkIBJCCCFEmycBkRBCCCHaPAmIhBBCCNHmSUAkhBBCiDZPAiIhhBBCtHkSEAkhhBCizZOASAghhBBtngREQgghhGjzmjQgmjdvHgMGDMDV1RVfX1/GjRtHQkJCrXOuueYaVCpVrZ+HH3641jlpaWmMHTsWJycnfH19efrppzEajbXO2bRpE3379kWj0RAZGcnChQsv9eUJIYQQooVo0oBo8+bNzJgxg507d7J27VoMBgOjRo2ivLy81nkPPPAAWVlZ1p+3337besxkMjF27Fj0ej07duxg0aJFLFy4kBdffNF6TnJyMmPHjmX48OHExsYya9Yspk+fzpo1ay7btQohhBCi+VIpiqI09SBq5OXl4evry+bNmxk6dChgmSHq3bs3H374YZ2P+fvvv7nxxhvJzMzEz88PgC+++IJnnnmGvLw87O3teeaZZ1i5ciVxcXHWx911110UFxezevXq845Lq9Xi7u5OSUkJbm5uF3+hQgghhLjkGvL53axyiEpKSgDw9PSsdf/ixYvx9vame/fuzJ07l4qKCuux6OhoevToYQ2GAEaPHo1Wq+Xw4cPWc0aMGFHrOUePHk10dHSd49DpdGi12lo/QgghhGi9bJt6ADXMZjOzZs3iyiuvpHv37tb7J06cSPv27QkMDOTgwYM888wzJCQk8PvvvwOQnZ1dKxgCrLezs7PPeY5Wq6WyshJHR8dax+bNm8fLL7/c6NcohBBCiOap2QREM2bMIC4ujm3bttW6/8EHH7T+/x49ehAQEMB1111HUlISERERl2Qsc+fO5YknnrDe1mq1hISEXJLXEkIIIUTTaxZLZo899hgrVqxg48aNBAcHn/PcQYMGAZCYmAiAv78/OTk5tc6pue3v73/Oc9zc3M6YHQLQaDS4ubnV+hFCCCFE69WkAZGiKDz22GMsW7aMDRs2EBYWdt7HxMbGAhAQEADAkCFDOHToELm5udZz1q5di5ubG127drWes379+lrPs3btWoYMGdJIVyKEEEKIlqxJA6IZM2bwww8/sGTJElxdXcnOziY7O5vKykoAkpKSePXVV9m3bx8pKSn89ddfTJkyhaFDh9KzZ08ARo0aRdeuXZk8eTIHDhxgzZo1PP/888yYMQONRgPAww8/zIkTJ5gzZw7x8fF89tln/PLLL8yePbvJrl0IIYQQzUeTbrtXqVR13r9gwQKmTp1Keno6kyZNIi4ujvLyckJCQrj11lt5/vnnay1jpaam8sgjj7Bp0yacnZ259957efPNN7G1PZUitWnTJmbPns2RI0cIDg7mhRdeYOrUqfUap2y7F0IIIVqehnx+N6s6RM2VBERCCCFEy9OQz+9ms8tMCCFaO0VRKCzXk1lchdFsxs/NAR9XDXY2zWJ/ixBtmgREQghxCSmKQnRSAYt3p7E5IY8yXe0+izZqFdd08uHFm7rS3su5iUYphJCASAghLpF9qYW88MdhjmTVrnbvWz0rlKOtwmhWWB+fy46kAl64sSsTB4U20WiFaNskIBJCiEZmNiu8tTqeL7ecAMBFY8utfYK4rV8wnQNc0djaWM9LyivjhT/j2HmikOeWHcLd0Y6xPQOacvhCtEmycC2EEI3s7TUJ1mDozv4hbJkznFfHdadXiIc1GAJQq1V09HNlyfTBTBpsmRn6cXdak4xZiLZOAiIhhGhEmxJy+WJzEgBvT+jJW7f1xNPZ/pyPUatVTL3CUph2d3IhVQbTJR+nEKI2CYiEEKIRLdllmeGZNDiUOwbUvweij4ulkKzeZMZklmooQlxuEhAJIUQjqTKY2JSQB8Ckwe0b9Nij2ZbEa19XDc4aSe8U4nKTgEgIIRqJjVoF1QX4T88Vqo8F25MBuKqjd2MPSwhRDxIQCSFEI7GzUdM1wFINd+ne9Ho9RlEUPtlwnDWHc1Cp4JFhEZdyiEKIs5CASAghGtF9V3YA4LNNSXyz9QQ649kTpKsMJl5ZcYR3/zkGwBMjOtHRz/VyDFMI8S/Sy6wepJeZEKIhXl95hK+3WpbAvF00TOgbRLcgd8K9ndEZTeSX6dlyLI+/DmRSWmWpXP3CjV25/6qwphy2EK2O9DITQogmNHdMF4LbOfHF5iSySqqsNYnqEuThyNwbOnNjz8DLOEIhxL/JDFE9yAyREOJCGExmVsdlsyOpgIRsLSkFFThrbPB01hDh48yEvsEMCfdCrVY19VCFaJVkhkgIIZoBOxs1N/UK5KZeMvsjRHMnSdVCCCGEaPMkIBJCCCFEmycBkRBCCCHaPAmIhBBCCNHmSUAkhBBCiDZPAiIhhBBCtHkSEAkhhBCizZOASAghhBBtngREQgghhGjzJCASQgghRJsnAZEQQggh2jwJiIQQQgjR5klzVyGEaKbSCipYfTiLrcfzOZpVCijYqFX4uzsyPMqHUV396Rp47g7eQoj6USmKojT1IJo7rVaLu7s7JSUluLnJm48Q4tKq1Jv4eMNxvtpyAqP53G/RI7r48dq47vi7O1ym0QnRcjTk81tmiIQQohlJzi9n6oLdpBZUADA43JNRXf3p36EdGlsbDCYzR7O0rD2Sw8aEXNYdzWFXcgHzpw5gQAfPJh69EC2XzBDVg8wQCSEuh0q9iXGfbichp5QAdwf+e3M3RnX1Q6VS1Xl+QnYpT/96gIMnS/Bx1bDpqWtw1sj3XCFqNOTzW5KqhRCimXh7TTwJOaX4uGr487ErGd3N/6zBEECUvys/PTiY9l5O5JXq+HlP+mUcrRCtS5MGRPPmzWPAgAG4urri6+vLuHHjSEhIsB4vLCxk5syZREVF4ejoSGhoKI8//jglJSW1nkelUp3x89NPP9U6Z9OmTfTt2xeNRkNkZCQLFy68HJcohBD1oq0y8NNuS0Dz9m098XWtX06Qk70tY3sEAJBSUH7JxidEa9ekAdHmzZuZMWMGO3fuZO3atRgMBkaNGkV5ueWPOjMzk8zMTN59913i4uJYuHAhq1ev5v777z/juRYsWEBWVpb1Z9y4cdZjycnJjB07luHDhxMbG8usWbOYPn06a9asuVyXKoQQ5/T3oSwqDSY6+rpwTSefBj220mACwFYtk/5CXKgmXWxevXp1rdsLFy7E19eXffv2MXToULp3785vv/1mPR4REcHrr7/OpEmTMBqN2NqeGr6Hhwf+/v51vs4XX3xBWFgY7733HgBdunRh27ZtfPDBB4wePfqM83U6HTqdznpbq9Ve1HUKIcT55JVa3nP6hrY75zLZvxVX6Fm2PwOA3qEel2JoQrQJzerrRM1SmKfn2XdK1CRGnR4MAcyYMQNvb28GDhzI/PnzOT1XPDo6mhEjRtQ6f/To0URHR9f5GvPmzcPd3d36ExIScqGXJIQQ9VITBBWU685z5imF5XruW7iH4goDnfxcuKF73V8KhRDn12wCIrPZzKxZs7jyyivp3r17nefk5+fz6quv8uCDD9a6/5VXXuGXX35h7dq1TJgwgUcffZSPP/7Yejw7Oxs/P79aj/Hz80Or1VJZWXnG68ydO5eSkhLrT3q6JCoKIS6tYdXLZOuO5hKTVnTe82PSipjw+Q72pxXj7mjHe7f3xtam2bylC9HiNJv9mTNmzCAuLo5t27bVeVyr1TJ27Fi6du3Kf//731rHXnjhBev/79OnD+Xl5bzzzjs8/vjjFzQWjUaDRqO5oMcKIcSF6B7kzvg+Qfy+P4N75+/m/qvCuKV3EGHezgAoikJKQQXRSQX8vDedA+nFAAR5OLJo2gAifV2bcPRCtHzNIiB67LHHWLFiBVu2bCE4OPiM46WlpVx//fW4urqybNky7Ozszvl8gwYN4tVXX0Wn06HRaPD39ycnJ6fWOTk5Obi5ueHo6Nio1yKEEBfq+Ru7klJQTkxaMR+uO86H647j66rBVq2i0mCiqMJgPdfeRs3NvQOZc31UvXekCSHOrkkDIkVRmDlzJsuWLWPTpk2EhYWdcY5Wq2X06NFoNBr++usvHBzO/4cfGxtLu3btrLM8Q4YMYdWqVbXOWbt2LUOGDGmcCxFCiEbg6WzPzw8NYfmBTP6MzWRbYj65padyiuxt1PQO8WBYlA93DgjB20VmsoVoLE0aEM2YMYMlS5bw559/4urqSnZ2NgDu7u44Ojqi1WoZNWoUFRUV/PDDD2i1WuuOLx8fH2xsbFi+fDk5OTkMHjwYBwcH1q5dyxtvvMFTTz1lfZ2HH36YTz75hDlz5jBt2jQ2bNjAL7/8wsqVK5vkuoUQ4mzsbNSM7xvM+L7BFJbrySyuRFFApYJIXxcc7GyaeohCtEpN2rrjbFtLFyxYwNSpU9m0aRPDhw+v85zk5GQ6dOjA6tWrmTt3LomJiSiKQmRkJI888ggPPPAA6tNqcmzatInZs2dz5MgRgoODeeGFF5g6dWq9ximtO4QQQoiWpyGf39LLrB4kIBJCCCFaHullJoQQQgjRABIQCSGEEKLNk4BICCGEEG2eBERCCCGEaPMkIBJCCCFEmycBkRBCCCHaPAmIhBBCCNHmSUAkhBBCiDZPAiIhhBBCtHkSEAkhhBCizZOASAghhBBtngREQgghhGjzJCASQgghRJsnAZEQQggh2jwJiIQQQgjR5klAJIQQQog2TwIiIYQQQrR5EhAJIYQQos2TgEgIIYQQbZ4EREIIIYRo8yQgEkIIIUSbJwGREEIIIdo8CYiEEEII0eZJQCSEEEKINk8CIiGEEEK0eRIQCSGEEKLNk4BICCGEEG2eBERCCCGEaPMkIBJCCCFEm9eggMhgMDBnzhwiIyMZOHAg8+fPr3U8JycHGxubRh2gEEIIIcSl1qCA6PXXX+e7777j4YcfZtSoUTzxxBM89NBDtc5RFKVRByiEEEIIcak1KCBavHgx33zzDU899RSvvfYae/fuZcOGDdx3333WQEilUtX7+ebNm8eAAQNwdXXF19eXcePGkZCQUOucqqoqZsyYgZeXFy4uLkyYMIGcnJxa56SlpTF27FicnJzw9fXl6aefxmg01jpn06ZN9O3bF41GQ2RkJAsXLmzIpQshhBCiFWtQQJSRkUH37t2ttyMjI9m0aRM7duxg8uTJmEymBr345s2bmTFjBjt37mTt2rUYDAZGjRpFeXm59ZzZs2ezfPlyli5dyubNm8nMzGT8+PHW4yaTibFjx6LX69mxYweLFi1i4cKFvPjii9ZzkpOTGTt2LMOHDyc2NpZZs2Yxffp01qxZ06DxCiGEEKKVUhogLCxMWbdu3Rn3Z2RkKJ06dVJGjhypqNXqhjxlLbm5uQqgbN68WVEURSkuLlbs7OyUpUuXWs85evSoAijR0dGKoijKqlWrFLVarWRnZ1vP+fzzzxU3NzdFp9MpiqIoc+bMUbp161brte68805l9OjR9RpXSUmJAiglJSUXfG1CCCGEuLwa8vndoBmia6+9liVLlpxxf2BgIBs2bCA5OfmigrOSkhIAPD09Adi3bx8Gg4ERI0ZYz+ncuTOhoaFER0cDEB0dTY8ePfDz87OeM3r0aLRaLYcPH7aec/pz1JxT8xz/ptPp0Gq1tX6EEEII0XrZNuTkF154gfj4+DqPBQUFsXnzZtauXXtBAzGbzcyaNYsrr7zSuiyXnZ2Nvb09Hh4etc718/MjOzvbes7pwVDN8Zpj5zpHq9VSWVmJo6NjrWPz5s3j5ZdfvqDrEKI+TGaFMp2RCr2RSr2JSoMJg0nBaDJjNCsoCigoqFUqbNQqbNUq7G3VaGzVONrb4mxvg7PGFjsbqZwhhBCNoUEBUfv27Wnfvv1ZjwcGBnLvvfdab48dO5ZvvvmGgICA8z73jBkziIuLY9u2bQ0Z0iUxd+5cnnjiCettrVZLSEhIE45ItARGk5mcUh0ZRZVklVSSo60iV6ujsFxPQbmeogo9heV6iisMlOmM53/CenC2t8Hd0Q5PF3s8nTV4O9vj46bB19WB4HaOBLdzpL2XMy6aBv2pCyFEm3NJ3yW3bNlCZWXlec977LHHWLFiBVu2bCE4ONh6v7+/P3q9nuLi4lqzRDk5Ofj7+1vP2b17d63nq9mFdvo5/96ZlpOTg5ub2xmzQwAajQaNRlO/ixRtjtFkJjGvjPisUo5ma0nMKSM5v5y0wgqM5oaVnbCzUeFoZ4PGzgZ7GzV2NpYZIXX1bk2zomBWwGAyozea0RnNVOpN6E1mAMr1Jsr1JjJLqs75Ov5uDkT6utAt0I3uQe70CfUguJ3Thf0ChBCiFWrSr42KojBz5kyWLVvGpk2bCAsLq3W8X79+2NnZsX79eiZMmABAQkICaWlpDBkyBIAhQ4bw+uuvk5ubi6+vLwBr167Fzc2Nrl27Ws9ZtWpVredeu3at9TmEOBuTWSEhu5QDJ4s5eLKEI1laErK1VBnMdZ5vZ6MiwN2RAHcH/N0d8HNzwMvZHk9ne9o52ePpYvlfNwdbXBxs0dheWCFTg8lMaZURbaWB4koDheU6Csr05JfpyS2tIkdbRUZRJSeLKiko15OtrSJbW8W2xHzrcwR5ODIozJNhUT4M6+SDh5P9BY1FCCFaA5WiXLpKiq6urhw4cIDw8PA6jz/66KMsWbKEP//8k6ioKOv97u7u1pmbRx55hFWrVrFw4ULc3NyYOXMmADt27AAs2+579+5NYGAgb7/9NtnZ2UyePJnp06fzxhtvAJZt9927d2fGjBlMmzaNDRs28Pjjj7Ny5UpGjx593uvQarW4u7tTUlKCm5vbRf1ORPOmKArHc8vYlJBLdFIBe1OKKK1jectVY0uXADc6B7jS0deFcB8XOng74+/mgI26/rW4LoeSCgNJ+WUkZJcSl1HCoYwSjmRqa81mqVUwONyL2/oFc313f5zsZYlNCNHyNeTzu0kDorMVcVywYAFTp04FLIUZn3zySX788Ud0Oh2jR4/ms88+sy6HAaSmpvLII4+wadMmnJ2duffee3nzzTextT31pr5p0yZmz57NkSNHCA4O5oUXXrC+xvlIQNS6FVfo2XI8n80JeWw9nkduqa7WcVeNLT1D3OkR5EH3IDe6BLgR5uWMupkFPg1RoTcSk1rMtsR8NsbnkpBTaj3morHlnsGh3H9VGL6uDk04SiGEuDgtJiBqKSQgan20VQbWxGWz8lAW247n15ot0diqGRzuxdUdvRkc7kWXALdmN+vT2NIKKli2P4PfYk6SVlgBgL2tmokDQ/m/6zrSzlmW04QQLY8ERI1MAqLWocpgYs3hbJYfyGTLsXxrYjJAlJ8r10T5MLSTD/3at8PBrm02KTabFTYm5PLpxkRi0ooB8HS257Vx3bmhx/l3iwohRHPSkM/vS5oo8Nxzz1mLLArRVE7klbF4Vxq/xZykuMJgvb+jrws39wrkhp4BRPi4NOEImw+1WsV1Xfy4trMv2xMLeGXFYY7llPHo4hjuGhDCf2/u1maDRSFE69aoM0RFRUUsX76cKVOmNNZTNgsyQ9TymMwK/xzO5rvoVKJPFFjvD3R34LZ+wdzYK5BOfq5NOMKWQW8087/1x/l0UyKKAldEePHNvf0l6VoI0SI02ZLZgQMH6Nu3b4ObvDZ3EhC1HDqjiT/2Z/Dl5hOcyLc0CVarYHiUL5MGt2doJ59Wnw90KWw5lscjP+yjXG9iYJgni+4biKO9zBQJIZq3S7Zkdr6eXqWlpec8LsSlUmUw8fOedL7YnERWdZFCd0c7Jg9uz92DQgnyOLMAp6i/oZ18+GH6IKZ8u5vdyYX896/DvHVbz6YelhBCNJoGBUQeHh5n3SoPlhou5zouRGMzmsz8HpPBB+uOWQMhPzcN068K5+5BodKyohH1CW3Hl5P7cc+3u/h5bzpXdvTm5l6BTT0sIYRoFA36tHB1deU///kPgwYNqvP48ePHeeihhxplYEKcz+Zjeby24gjHc8sAS37QI9dEcHv/EEn8vUSuiPRm5vBI/rchkVeWH+a6zr44S9AphGgFGvRO1rdvXwCGDRtW53EPDw8u4S5+IQA4WVTBqyuOsOawpT+dh5MdM66JZPKQ9hIIXQYzr+vIXwcySSmoYP62ZGZe17GphySEEBdN3ZCTJ06ceM6mp/7+/rz00ksXPSgh6mIyKyzYnszI97ew5nAONmoV918Vxuanh/PA0HAJhi4TOxs1s0d2AmBRdCoGU9193YQQoiW5pIUZWwvZZdb0kvPLeWrpAfalFgEwMMyTV2/pTpS/bJ1vCgaTmSHz1pNfpufLyf0Y3c3//A8SQojLrCGf3w2aIYqOjmbFihW17vvuu+8ICwvD19eXBx98EJ1Od5ZHC9FwiqLwy550xv5vK/tSi3DR2PL6rd356YHBEgw1ITsbNbf0DgJg7ZGcJh6NEEJcvAYFRK+88gqHDx+23j506BD3338/I0aM4Nlnn2X58uXMmzev0Qcp2qZynZGZP+5nzm8HqdCbGBzuyZrZQ7lnUPsW3Vi1tRge5QvA1uN5kjsohGjxGpRUHRsby6uvvmq9/dNPPzFo0CC+/vprAEJCQnjppZf473//26iDFG1PYm4ZD/+wj8TcMmzVKp4cFcWDQ8ObbVFFvdFMSaUBvcmM0WRGrVKhsVXjYG+Dq8a2VZaj6N+hHTZqFTlaHdnaKgLcpdaTEKLlalBAVFRUhJ+fn/X25s2bGTNmjPX2gAEDSE9Pb7zRiTZp87E8ZiyOoUxnxM9Nw6cT+9K/Q9P3xCupMHA4s4T47FKO55aSXljJyaIK8kp1lOvPXp3d3kaNl4s9gR6OhHs7E+HrQq9gD3qFuLfoFhgOdjZE+riQkFPK4QytBERCiBatQe/Gfn5+JCcnExISgl6vJyYmhpdfftl6vLS0FDs7u0YfpGg7Fu9K5cU/D2MyKwzs4Mmn9/TFx/XsOxsvpTKdkW3H89l6PI+9KUUk5Jy/Eru9jRpbGxWKAlVGE4oCepOZrJIqskqqrEnhADZqFT2D3bmusy8ju/q3yJyoTv6uJOSUciK/DPA77/lCCNFcNSgguuGGG3j22Wd56623+OOPP3BycuLqq6+2Hj948CARERGNPkjR+imKwv/WJ/LBumMAjO8bxJvje2Jv26A0t4tWWmVgzeEc/jqQSXRSPgZT7dyYEE9Huvi7EeXvSnsvZ4LbOeLn5oCnkz2uDra1cpsURUFnNFNQrievVEd6YQUn8so5llNKTFoRWSVV7E8rZn9aMe/+c4weQe7cPTCUW3oHtphihx28nABIKaho4pEIIcTFadC77quvvsr48eMZNmwYLi4uLFq0CHt7e+vx+fPnM2rUqEYfpGjdFEVh3t/xfLXlBAD/d11HZo3oeFnzbg6kF/NddCorDmaiM56qqxPq6cS1nX0ZHO5F/w7t8Hap/2yVSqXCwc6GIA9Hgjwc6R3iUet4RnElW47lse5IDluP53Moo4RDyw7x1up4pl8VxrSrwpp9YBTczrJMllFU2cQjEUKIi3NBdYhKSkpwcXHBxqZ2IbzCwkJcXFxqBUmtgdQhurTeWRPPpxuTAHjxxq5MuyrssryuoihsPpbHxxsSay1lhfs4M653EDf0CCDCx/myBGaF5Xp+23eSxbtSrbMt3i4aXrixCzf3Cmy2Sdnbjucz6dtdRPg4s/7Ja5p6OEIIUcsl63Zfw93dvc77PT2bPvFVtCxfbE6yBkOvjevOpMHtL8vrRicV8ObqeA6kFwOW3J+xPQOYPKQ9fULO3cT4UvB0tueBoeFMuyqMFQczeX/tMVILKvi/n2JZfiCTeeN7Nlku1bm0r14ySy+sxGRWmu0uQCGEOJ/mPR8vWrU/YzN48+94AJ4d0/myBEMniyp4Y9VRVh3KBsDBTs2kQe15cGg4vm4Ol/z1z8dGreKW3kGM6R7A55uS+GTjcdYdzeXg/7by9ZT+9PrXsltTC/RwxN5Gjd5kJrO4khBPp6YekhBCXJDLm7EqRLWYtCKe/vUgAA9cHcbDwy5tMr7ZrLBoRwoj39/CqkPZqFUweXB7ts65ludv7NosgqHT2duq+b8RHVkx82o6+rqQW6rjji+jWXUoq6mHVouNWkWErwsA8dnn34UnhBDNlQRE4rLLK9Xx6A8x6I1mRnb149kxXS7p6+Vqq7h3wW5e+uswlQYTA8M8Wfn41bw6rnuzXIY6XZS/K78/egXXdfZFZzQzY0kMv+072dTDqqVrgGVd/uDJ4qYdiBBCXAQJiMRlZTIrzFgSQ7a2iggfZz64s/clzTvZl1rI2I+3sfV4PhpbNS/f3I2fHhhMl4CWkxzv6mDHV1P6c/fAUBQFnv71QLOaKerfoR0Au5ILm3gkQghx4SSHSFxW3247we7kQlw0tnw1pT8ul3Bb+W/7TjL390PoTWai/Fz59J4+RPq2vOKHYFmaen1cd0Dhx93pzPo5Fj83Df3aN/1GhiHhXgDEpBZRXKHHw6l17TIVQrQNMkMkLpsTeWW8+4+l8OILN3Yhwsflkr3WV1uSeHLpAfQmM6O7+bFsxhUtNhiqoVareG1cD0Z08UVvNPPAd/vILG76+j8dvJ3p7O+K0ayw5nB2Uw9HCCEuiARE4rIwmxWe/e0QeqOZqzt6c0f/kEv2Wp9sOM4bqyy71x4aFs7n9/Rr0T3DTmejVvG/u/vQNcCNwnI9M3/cj8FkPv8DL7FbegcBsGhHKhdQ2kwIIZqcBETisvh5bzq7Uwpxtrdh3vgel6zOz5ebk6yzUE+O7MTcMV1qtdNoDZzsbfl8Ul9cHWzZl1rEe9XX25TuHhiCo50NR7K0MkskhGiRJCASl1yZzmj90H5iVBTB7S5NrZqle9OZV13X6OnRUcy8ruMleZ3moL2XM+/c1guAL7cksbuJE5o9nOy594oOAMz59SAni6S3mRCiZZGASFxyC7cnk1+mo4OXE5MvUfHFHYn5PPv7IQAeGhrOjOGRl+R1mpPru/tze79gFAWe+e0gVQZTk47niZGd6BXsjrbKyP0L91JUrm/S8QghRENIQCQuqZJKA99sSwZg9shOl6R7fVpBBY8uicFkVrildyDPXN+50V+juXrhpq74uWlIzi/nkw2JTToWe1s1n97TF19XDQk5pdz2xQ7iMkqadEwtmcmskJJf3iwS54VoCy6ouWtbI81dL9z7a4/xv/XH6ejrwupZQxu95lCVwcSEz3dwOFNLr2B3fn5oCA52Nud/4AUwmxVOFlVyLKeUE/llFJYbKKk0YDSZsbdV42hng7+7A8HtnIj0dblsjWFXx2Xz8A/7sFWrWDN76CXdvVcfx3NKmfTtLnK0OmzUKu4d0oEHhoYR4O7YpONqCbRVBn7de5I/D2SSkK2lymBJmO8S4Mb13fyZemUH3B3tmniUQrQcDfn8btKAaMuWLbzzzjvs27ePrKwsli1bxrhx404N7iwfJm+//TZPP/00AB06dCA1NbXW8Xnz5vHss89abx88eJAZM2awZ88efHx8mDlzJnPmzKn3OCUgujBlOiNXzFuPtsrIpxP7MrZnQKO/xgt/xPH9zlQ8ne1Z+fhVjf6hm1+mY92RHLYl5rM9MZ+iCkO9H+vhZEf/9u24JsqXkV398LuE7UHuW7CbjQl5DI/yYcF9Ay/Z69RXQZmOF/88zMrqApJqFVzXxY8bewYwJNyr2bVKaWoms8Lba+L5PjqVCv2ppU+NrRqDyYy5+l26V7A7vz5yBXY2MrkvRH1c8m73jaW8vJxevXoxbdo0xo8ff8bxrKza1Xj//vtv7r//fiZMmFDr/ldeeYUHHnjAetvV9VS9Ga1Wy6hRoxgxYgRffPEFhw4dYtq0aXh4ePDggw828hWJ0/26Nx1tlZFwb2eu7+7f6M+/Oi6L73daguH37+jVaMGQyaywOi6bX/els+V4Pibzqe8M9jZqwn2cifR1wcdVg4ejPXa2KvRGMxV6ExnFlZwsrCA+u5TiCgPrjuay7mguz/8Rx4AO7Zg8pANjuvs3+gfaCzd2ZVviFjYm5LHteD5XdfRu1OdvKC8XDZ/e05c7j+Xx2aZEdp4oZO2RHNYeyQEgwseZnsEedA9yp0uAK5393fB0brsFHV9feZT52y1Lyx19XZgypD1XRnrT3suZkkoD647mMOfXgxw4WcLBkyX0a9+uiUcsROvTpAHRmDFjGDNmzFmP+/vX/hD9888/GT58OOHh4bXud3V1PePcGosXL0av1zN//nzs7e3p1q0bsbGxvP/++xIQXUKKovDDrjQA7ruyQ6MvlWWVVPLMb5Yk6oeHRXBNlO9FP2eVwcTSvel8sy2Z1IJTu6R6BrtzTZQvV3f0pneIR72CGb3RzNEsLduT8ll7JIfY9GL2pBSxJ6UIX1cNDw+LYOKg0EZb3gv3cWHS4PYs2J7C66uOsnLmVc2i3MDQTj4M7eRDYm4pS/edZNvxfI5kaUnKKycpr5xl+zOs5/q4auga4Ea3QDd6h3jQv4NnmwiSlu5NtwZDb9/Wk9v7BdeaHfd0tmdc7yDm/n4Ik1lpE78TIZpCs8khUqlUZyyZnS4nJ4fg4GAWLVrExIkTrfd36NCBqqoqDAYDoaGhTJw4kdmzZ2Nra4n1pkyZglar5Y8//rA+ZuPGjVx77bUUFhbSrt2Z37R0Oh06nc56W6vVEhISIktmDbDrRAF3frUTJ3sbdj13Ha4OjZf3YDYrTJ6/i+2JBfQMdufXh6+4qGRts1nhj9gM3l2TQGZJFWBZ7po0qD3j+wYR3gg5OTnaKn7cncbiXWnklVr+bQW4OzB7ZKczPgAvVGG5nmFvb6RUZ+Sze/pyQ4/GX6JsDEXlemLSijicqSUuo4T47FLSCuvept/R14VrO/tyXRc/+rVvd0n73jWVyd/uYuvxfB4aFs7cOhodl1QYeOzHGLYez8fd0Y59z4/AVpbMhKiXFrNk1hCLFi3C1dX1jKW1xx9/nL59++Lp6cmOHTuYO3cuWVlZvP/++wBkZ2cTFhZW6zF+fn7WY3UFRPPmzePll1++RFfSNizckQLAzb0CGzUYAlgUncL2xAIc7NR8cGfviwqGDqQX8/wfcRyq3g0V4O7AQ0PDuWNASKNWt/Zzc2DWiE48ek0kv8Wc5H/rj5NVUsWcXw/ye8xJ3hzfkw7ezhf1Gp7O9tx3VRj/W3+c/60/zpju/pclqbuh2jnbc10XP67r4me9r1xnJCGnlCPVQdK+1CKO55ZZf77ccgJ/NwcmDgrl7oGh+LhqmvAKGpem+t9vld6E0WS2BjsniyrYciyfLzYnkVZYgaOdDR/e2VuCISEukRYzQ9S5c2dGjhzJxx9/fM7nmT9/Pg899BBlZWVoNBpGjRpFWFgYX375pfWcI0eO0K1bN44cOUKXLmd+I5MZoouTUVzJ1W9twKzAmllDifJvvB5i8dlabv5kO3qjmVdv6cbkIR0u6HlKqwy8tTqexbvSUBRw1djyyPAIpl0Zdsl2qZ2uymDiu+gUPlh7nEqDCY2tmpdu6sbdA0MuKogprtBz5ZsbKNebWHjfgEZZSmwqReV6tifls/5oLhvicymptCS029uque+KDjx6TSTuTi1/x9Vbq+P5fFMSYPl36OZoh6Io1tlKgCAPR76a0o9uge5NNUwhWqRWN0O0detWEhIS+Pnnn8977qBBgzAajaSkpBAVFYW/vz85OTm1zqm5fba8I41Gg0bTer6BXm4/7EzFrMAVEV6NGgxVGUz834+x6I1mru3sy6QLLPK4Iym/upqypb7LrX2CmHtDZ3xdL9/OJwc7Gx4cGsGY7gHM/f0Q2xLzeW7ZIWLTi3h1XHc0thcWlHk42XPngFDmb0/m660nWnRA1M7Znht7BnJjz0B0RhOr47KZvz2FA+nFfLnlBD/tSee1cd25qVdgUw/1ojw5shOBHo68/08CRRUGSnVGwNK3rlewOyO6+jF5cPtGn2kVrVNplYHtiQUcOFlMYm4ZKfnlVBlNGE0KjvY2RPi4EOnrwogufvQN9WiWs8hNpUUERN9++y39+vWjV69e5z03NjYWtVqNr6/lg2DIkCH85z//wWAwYGdneUNZu3YtUVFRdS6XiYujM5r4ZU86AFOGNG5V6rdWx5OQU4q3iz1v39azwX/IOqOJN/+OZ8H2FACC2zny9m09uSKi6XZkhXg68d20gXyxJYl31yTwy96TnMgr59t7B1zw7Me0qzqwcEcy2xMLSMwtJdK38YLSpqKxteGW3kHc3CuQTQl5vPm35d/CzB/3sy+1iOdu6HJJin5eDrY2aiYPbs/t/YJJL6ygXG9CbzTTOcAVNwmCRD1U6k2sOJjJbzEn2ZtShNF89oWfE3nlrD2Sw+ebkojwcWbS4PZMGtxeSjnQxAFRWVkZiYmnqusmJycTGxuLp6cnoaGhgGW6a+nSpbz33ntnPD46Oppdu3YxfPhwXF1diY6OZvbs2UyaNMka7EycOJGXX36Z+++/n2eeeYa4uDg++ugjPvjgg8tzkW3M6rhsCsr1+LlpGHFajsjF2hCfYw1k3rm9F94uDZvBS84v5/Ef91tzhSYOCuW5G7rgomn67wRqtYpHr4mkW6A7M5fEsDe1iHu+3cni6YMvqAhfcDsnruvix9ojOfywM43/3tztEoy6aahUKoZ3tuz4+2DdMT7dmMTCHSkk5ZXx9ZT+l2W581JxsLOho1/LD17F5VOmM/L1lhMs3JFiXVIGCPd2ZnCEF518XQj3ccHFwRY7tZriSj1JuWUcOFnC6rhskvLKeXn5EVbHZfPVlP5tvuhnk+YQbdq0ieHDh59x/7333svChQsB+Oqrr5g1axZZWVm4u9deP4+JieHRRx8lPj4enU5HWFgYkydP5oknnqi15HV6YUZvb29mzpzJM888U+9xSmHG+rvt8x3sTS3i/67ryOyRnRrlOdMLK7jx422UVBqYekWHBn/A/3Ugk2d/O0iF3oSHkx3v3d6rVkJvc3I0S8ukb3ZRUK6nV4gHP9w/8IKWSjYm5HLfgj14Oduz87nrWu23v/VHc5j5434q9Cau7+bPp/f0bZU70YQ4ndms8NOedN5fe4z8Mku+a4inI3cPDOXGHoGEep2/gXZplYE/9mfw9uoESnVGOvu78t20ga2uaGqLqVTdUkhAVD87TxRw11c7sbdRs/WZ4Y1SmVlnNHH7F9EcPFlCrxAPlj40pN5LI3qjmTdWHbXueBsc7skHd/a+4AKOBpOZ7JIqsrVV5Jfq0JvMGE0KGjs1nk72eLtqaO/ldMH5PzWOZmm5++udFFcYGB7lwzf3Dmjwh7zRZGbQG+spKNe3+OTq84lOKuDeBbvRG83MGtGRWSMaJxAXojnKL9Mx++dYth7PB6C9lxNPj45iTPeAC/oycDizhKkL9pBXquOKCC8WTx/UqvKKWl1StWj+FEXh/bXHALi9f3Cjtal4ZfkRDp4swcPJjk8n9ql3MJSrreKhH/axP60YgEevieDJUVENesPILa0iOqmAnScKOZxZQnxWKXqT+ZyPsVWriPR1oXeIB9dE+XJVR+8GL8t1CXBj0X0DuePLaDYm5PH+2gSeHt2whrW2NmpGd/dnya401h3NadUB0ZAIL96e0JNZP8fyyYZERnTxo3uQ7MYSrc+uEwXM/HE/uaU6HOzUPDUqiilDOlxU/ly3QHd+fnAw13+4lR1JBWw5ns+wTj6NOOqWQwIi0SiikwrYnVyIvY2ax66NbJTnXLwrlcW70lCp4MM7exPc7vzTwAD7Ugt55IcYckt1uDva8f4d9V8iSy0oZ8XBLFYczOJolvaM4/a2avzcNPi6OqCxVWOjVqEzmikq15OtraK0ykh8dinx2aX8tCcdexs1Y3sGMPWKDvQK8aj3tfcK8eDNCT2Y/fMBPt2YxJBw7wa34xjZxY8lu9LYcDQX5RalVX3r+7dbegfyz5FsVh3K5qW/DvPrw0Na9fWKtmfdkRweXRyD3mQm0teFz+7pS6dGyjkL97G0i/lmWzJfbk6SgEiIC6UoCu9Vzw7dPTCkUXqKRScV8NKfhwF4YkSnes9w/Lwnjef/iMNgUujk58JXk/uft+Chzmhi3ZFcFu9KZUdSgfV+lQq6BrgxJNyLPqHt6B7kRkg7p7O2xFAUhaySKg5natmemM/GhFxSCypYtj+DZfszGBjmyYs3dq337MWtfYLZm1LE4l1pzPn1AGtmD21QPtGQCC80tmoyS6o4nlvWaG+ezZFKpeK/N3Vj/dFc9qUWsfV4PkPb6Ju6aH1Wx2Xx2JL9GM0Ko7r68eFdvRu1cCzA5OqAaFdyIcUVejyc2l6LGAmIxEVbHZfNvtQiNLZqZgy/+NmhpLwyHv5hH0azws29Aus142QwmXl95al8oRt6+PPObb1wPsdyVZnOyOKdqXyzLdnaTkOtgisjvRnbI4BR3fwb1DdKpVIR6OFIoIcjI7v68ZLSlYMnS1i0I4XlBzPZnVzITZ9sY9Kg9sy5Pqpewc1/xnZh6/F80gor+GxTEs9cX/+lMwc7GwaFe7HlWB5bj+e36oAIwNfNgXsGtWf+9mS+2ZYsAZFoFXYk5jPzx/3W98P37uh1STZJtPdyppOfC8dyyth5ovCSNORu7lrn1hNx2WirDPx3uWUm56Gh4Re9Q6GgTMd9C/ZQUmmgT6hHveoNlVQYmLpgtzUYmj2iE59O7HvWYKhcZ+TTjYlcMW898/6OJ69Uh6+rhseGR7L1mWv5/v5B3DUw9KKbaKpUKnqFePD+nb3ZMmc4t/QORFHg+52p3PzJdo7nlJ73OZzsbXnhxq4AfLstmfSz9Pw6m0FhngDsTSls+AW0QPdeYal9te14HtmnVXoWoiVKzi/n4R/2YTApjO0RwAd39r6kO0a7V1dCT8w9/3tTayQBkbgob/0dT45WR5i3M49e5OxQpd7E/Yv2klZYQainU73qypzIK+PWz7azPbEAJ3sbvpjUj/8b0bHOIMpgMvPttmSufnsj76xJQFtlJNzHmXdu68m2Z67lqdFRBHlc/HJfXQLcHfnorj4smT6IQHcHkvPLGf/5DnYk5p/3sSO6+DI43BO90cxXW0406HX7t7fU44pNL76QYbc47b2c6d++naVtzOHsph6OEBesQm/koe/3oq0y0jfUg/fu6HXJS0qEVacXpBY07ItXayEBkbhgu5MLWbwrDYA3bu1xUUXxjCYzj/+0n9j0Yjyc7Fhw34DzFl/cnpjPuE+3cyK/nCAPR359+Io6p3kVRWFjfC5jPtrKqyuOUFiup4OXEx/e2Zu1s4dxe/+Qy1bl+IpIb5bPvIp+7dtRWmVk6oI95w2KVCoVj1/XEYCl+9IpLNfX+/W6Blq2mWaVVDXocS3ZyK6WBPoN8blNPBIhLtx/lsVxLKcMH1cNX0zud1mKjnpVv+cWVRjOc2brJDlE4oKUVBp4cmksAHcNCGFIhNcFP5fZrDDn14OsPZKDva2aryb3J8LH5ZyPWbwrlRf/PIzJrNA31IMvJ/evswN6RnElL/4Rx/rqD0cvZ3ueGh3F7f2Cz9k1XGc0EZ9VyuFMLQnZWrJKqsjRVlGmM1JTFd/T2R5fVw3tvZzpE+pB39B29erC7uWiYfH0QTz+437+OZLDwz/s4/dHryTS9+zXPCTci26BbhzO1PJ7zEmmXx1+3tcBcHWwI8TTkfTCSo7nlDIo/ML/O7UUwzv7Mu/veHYlF6Azmi66LpQQl9vyA5ks25+BjVrFpxP7XrY+i26OlpBAWyUBkRD1oigKz/x6kPTCSkI8HXlubJeLeq6X/jrM76f98Q+sznupi8ms8NrKI9Y2Hrf2CWLe+DNnp0xmhQXbk3l/7TEq9CbsbFRMuzKMR4dHnrU8fVJeGWsOZ7MjsYA9KYXojOeuOZScX37GfQM6tGNC32DG9gw4Z9K0g50N/7u7DxO/3klMWjHTF+1hxeNXn7VmkUql4q6BobzwRxy/7qt/QATQwcuZ9MJKUgrK20RA1NHXBW8Xe/LL9MSmFbeJaxatR1ZJJc//EQfAjOGR53w/bGwO1V8edAbTZXvN5kQCItFgP+xMZfXhbOxsVHxyd98LbkCpKApvro7n+52pqFTw/h29rMsddSnXGfm/n/az7qhltufJkZ147NrIM/KFEnPLePrXA9aijP3bt2Pe+B519okqKNOxdN9J/tifQXx27UTCdk52dA9yp2uAG8HtHPFzc8DN0Q4btQqzWaGgXE+OtopjOaXEpBZzLLeUPSlF7Ekp4o1VR3ns2kimDOlw1qluBzsbvprSn1s+2U5KQQVvrDrKG7f2OOv139wzkJf/Okx8dikp+eXnLSdQI8TTUr8po7htJBmrVCoGh3ux4mAWO5IKJCASLYbJrPDEzwcoqTTQM9idmY1U062+NHaWWfPzfRlsrSQgEg0Sm17MqyuPAvDsmC4NKjb4bx9vSOTLzZYk4dfGdeeW3kFnPTe7pIppC/dwJEuLxlbN+3f0ZmzPgFrnmM0K87cn8/aaBPRGM64aW/4ztgt39A85o3bQvtRC5m9L4Z8j2RhMljUwW7WKqzp6MzzKlysivIj0dWlQcb8cbRXL9mfwy950TuSV88aqeH7cnc4Hd/am91l+T94uGt65vScTv97Fkl1p3NE/5KznujvZMSjck+2JBaw7mlPvWSL/6p1/2SWV9b6Wlu7KSO/qgCi/0XrqCXGpfbXlBNEnCnC0s+HDS7yjrC721a+nl4BIiHNLL6xg+qI96I1mRnTxY9qVHS74ub7ZesLa6uP5sV24Z1D7s557NEvLfQv2kK2twsvZnq/v7U/f0Ha1zsksruTJXw4QfcJSWHFYJx/mje9B4Gm7xhRFYdOxPD7bmMielCLr/b2C3blrYChjuvtfVDEyPzcHHh4WwQNXh/N7zEneWZNAcn45d3wZzZvjezC+b3Cdj7siwpvxfYP4PSaDd9ck8MP0QWd9jWGdfNieaGknUt+AyMvFck2F5W0nL+CqSEtV75i0YrRVhguexRTictmfVsR7/yQA8NJNXQk/Tx7lpeBoX71kJgGREGdXpjMyfdFe8sv0dAlw48O7el9wa4SF25N5rXqW6alRnc75wb4pIZcZi2Mo15uI9HVhwdQB1iWgGn8fyuKZ3w6irTLiaGfDCzd25e6BIdbxKYrCtsR83l97zLqMZmejYnyfYO69ooN1J1ZjsVGruL1/CKO7+/PEzwdYdzSHJ345QFGFgfuvCqvzMbNHdGL5gUy2JeYTk1Z0RsBXY0CH6rpCqYUoSv3acXg4WgKiksq2scsMLMuE4T7OnMgrZ+ux/DNmE4VoTvJKdcxYHIPRrHBjzwDuHBDSJONwrF7er9Abm+T1m5oEROK8jCYzs37aT0JOKT6uGuZP7d/ghqU1votO4b/LjwAwY3jEOStb/7wnjeeWxWEyKwwO9+TLSf1xdzr1Tb/KYOKVFUdYUr31v1eIBx/e2dtaSwPgWE4pr644Yu0M7WCnZvLg9ky/OvycDWhzS6s4WVRJfqmOogo9KlTYqFV4ONnRwduZkHZO592q7+Zgx1eT+/HW6ni+3HKCV1ccwc9Nw409A884N8TTiZt7BfFbzEkW70w7a0DUNdANG7WK4goD2dqqerVJcdbUvMm1rUTJkV38+DLvBKvisiQgEs1WlcHEQ9/vJbOkinBvZ94Y36PJ+vDVFLMt0xnr/YWrNZGASJyToii88Odh1h3Nrd4S3++Ce5V9F53Ci9X9yR4eFsFTo6Lq/INTFIUP1h3nf+uPAzC+TxBvTuhZKwA5kVfGo4tjrInQDw+L4MlRnaxr7iUVBt5eE8+Pu9MwK5a18XsGh/LINRFnbGE1mRXiMkrYlpjPzhMFHM3Skl927tkUW7WKQeGejOzix5geAWcNrtRqFc+O6YzRrPDttmTm/HqQnkEehHqd2ah24qBQfos5yYqDmbw6rludvYo0tjaEeztzPLeMhOzSev23qEnqrmxjO0du6BHAl1tOsP5ojiybiWbJYDLz2JL9xKQV4+Zgyzf39m/Sf6du1TtwDSaFKoPZuoTWVkhAJM7po/XH+XF3GmoV/O+uPvQ5y8zF+czflswrKywzQw8NDeeZ6+sOhgwmM3N/P8Sv+04CMPPaSJ4Y2anWuSsOZvLMrwcp15vwdrHngzt7c3VHS98qRVH4IzaD11cetQY1o7v58dwNXWjvdWrmSFEUYtKKWH7A0tk+v0xXaxwqFQS6O+LtqsGruoWHwWSmoExPcn45lQYT2xML2J5YwOurjnJ7/xBmjehYZ70QlUrFczd04VBGCbuTC3nq1wP89MDgMxK9+4Z6WGsGbU7IY0yPumc12ntZAqKTRfVLkratfh1zTQGlNqJnsLu1N9Pv+04y9cq6lyuFaApGk5knfrEsqWts1Xw5uX+T5A2dztneBjsbFQaTQlGFHkf7S1O5v7mSgEic1XfRKXy4zjJL88ot3S+42d+325J5tToYevSaCJ4eXXcwVK4zMmNJDJsS8rBRq3htXHfuHhhqPW4wmXnz73i+3ZYMwMAwTz65u4+1f1p6YQVzfz/EturKz5G+Lrw2rjuDT9t2XVJp4Ld9J1m8K5WkvFN1hFw1tgyO8OKqSG96hXgQ5ed61m9HiqKQnF/O+qO5rIrLYn9aMUt2pfHn/gxeuaU7E/qdmTxto1bx7m29uP6jLexOLmT5wcwzdtWpVCpGd/Xnm23JbDpHQBTkYbnezOL6BUQ1v+q2FQ5Zfp+TBrfnxT8P8/XWZO4aGHpZqv0KcT6VehOPLYlhfXwudjYqvpjU76KK2zYWlUqFu6M9+WU6iisMtTaltAUSEIk6/bwnzbq89fi1kUwafPZdYOfy1ZYk3lgVD8BjwyN5clSnOoOhgjId0xbu4cDJEhzs1Hxyd19GnFaTKK9Ux2NLYtiVbGlS+tCwcJ4eFYWtjRpFUfhhVxrzVh2lQm9CY6vm8es68sDV4dZlthxtFfO3JfPDzlTKq3NpnO1tGN3Nnxt7BXBVpE+923eoVCrCfVwI93HhgaHh7E4u5PVVRzmQXsyTSw8Qn63luRu6nHGdoV5OPDIsgvfWHuPjDYnc1DPwjFmiIRFefLMtmT2pZ2/Geqq8fv2SpE8vK9DW3NE/hM82JpFRXMl30Sk8ODSiqYck2ri8Uh0Pfb+XmLRiNLZqPp3Yl+GdfZt6WFYeTnaWgKgNbcKoIQGROMPquCzm/n4IgOlXhV1wHZcvNycx729LMPT4tZHMHll3MJReWMGU+btJzi/Hw8mO+VMH1EoqPniymIe+30dWSRXO9ja8d0cvru9umT3J0Vbx9K8H2XIsD4CBHTx567ae1sTq/DIdn2xIZMmuNPQmy1bSKD9XJg1pz619gi44Ofx0A8M8WfbIFXy0/jgfrT/O11uTMZgUXrqp6xnXe++VHfhqywkSc8vYmVzAFRHetY7XXPeJvHJKqwx1VruuqbRdUlm/bfQ1NUUud02T5sDBzoYnRnZizm8H+XDdccZ0Dzhjl6IQl8u+1CIeXbyPHK0ONwdb5k8dQP8Ol68SdX1Y31/aYD8zCYhELRvic5j5437MCtzZP4T/jD1zpqM+Pt+UxFurLcHQrBEdmTWi7qDqSKaWqQt2k1uqI8jDkUXTBtbq6fVnbAZzfj2Izmgm3MeZryb3tx5fHZfNs78fpLjCgMZWzbNjOnPvkA6o1Soq9Ea+3HyCb7aesM4IDejQjoeHRXBtZ99a16QoCpklVcRnaTmeW0ZB9XSxyazg6mCLu6MdXQLc6Nu+3TmTp2eP7ERQO0ee+e0gC3ekEOXvWmvJDyw7z27sFciPu9P4bV/GGQFRu+r+aLmlOpLyyuss0uhQXU22ylC/WiE1W2gbI/hriW7rF8yvMSfZnVzI078eYPH0wZe8a7gQpzNXb6p4e008BpNChI8zX572XtacuDqc2mnW1rTNd0hRpx1J+Tz8QwwGk6UWxuu3dr+gYOh/649biy6eKxiKTirgwe/2Uqoz0tnflYX3DcTf3RJwmM0K7/6TwGebkgC4trMvH97VGzcHO6oMJl5beYQfdlq223cPcuPDO3sT6euKoij8dSCTeauOklViaVXRK9idOdd35srIU8GHtsrA+qM5bD2Wz9bEfPJKddRHR18XplzRgQl9g+rcBXZH/xAKy/W8+Xc8r688yvAoX+s11RjX2xIQbYjPwWxWzlg26+DtTG6pjrTCijoDopqZHoOpfgGRtqo6IHJom3/uarWKd27ryfUfbmXniUJeX3mUF2/q2tTDEm1EWkEFT/16gN3Vy/1jewTw1m09m+0XFMc2uisVJCAS1falFvLAor3ojWZGdvXjgzt7n7MbfF3+vV3+6dFRZ60ztDoui8d/jEVvMjMwzJOvp/S3TtVW6I3M+imWf47kAPDINZYt+jZq1Rnb7R8aFs6TI6Owt1VzIq+M5/+IY0eSpVp1kIcjz93QhRt6+KNSqTCZFTbG5/L7/pOsO5pbqzy9rVpFpK8LUf6u+Lpq8HCyx0atolxnJL9MR2x6CQnZlhmkF/6I471/Enj1lu7c1OvMmkIPXB3O6rhsYtOLeX3VUT6+u0+t433bt8NFY0tRhYEjWVq6B7nXOl4zC5Wrrbv3WM1mMXU9g9Xi6lyjdhdRhbula+/lzLu392LGkhjmb08muJ0j085SJFOIxmA0mfkuOpV3/0mgQm/C2d6G52/syl0DQpp1fZ+a931TG9uVChIQCWB3ciH3LdhNud7ElZFefHx3nwbnm9Q0aq3pTTZ3TGceGlZ3AuuPu9P4z7JDmBXLlviP7upj3f2To63i/kV7iMvQYm+j5s0Jp1perDxoqUhdpjPi7WLP+3f0ZmgnH4wmM59sOM7/NiSiN5rR2KqZMTySB4eG42BnQ2mVgZ92p7MoOqXWVvVIXxdGdvXj6o7e9GvfDo3tuXcgaasM/L7vJAt2pJBaUMHMH/dzKKOEOaOjagWPNmoVr9/anbH/28aKg5k8NapTrS3/djZq+oR6sPV4PgdPlpwRELWrLj6pPUuOUENzgmpmv2rKB7RVY3sGkFIQxTtrEnhlxREc7GyYOCj0/A8UooEOpBfznz8OEZehBSx5hu/d3qtF5K8Zq2ee2+KysgREbdy+1EKmLthNhd7EVZHefD2lf4O3JiuKwqsrjjJ/u2U7/Is3dj3rt+8vNifxZnWi9V0DQnj91h7WP7yjWVqmLdxDVomlZ9lXU/rRr70nxurt9t/Usd3+WE4pTy09wMGTJQBc3dGb18f1INTLiZJKA19uPsH87cnWBGQPJztu7xfMuD5BdA1wa9A3NTcHO6ZeGcakwe15b+0xPt+UxFdbTpBRXMknd/ep9VzdAt0ZHuXDxoQ8vo9O5fkbay/RdAlwY+vxfBKytWe8zqny+XVPWdfkBNVUoD6fbK0lIDpXZe624tFrIiiu0PP11mSeW3aI4ko9jwyLaNbf2EXLUViu5501Cfy0Jw1FATcHW54d04W7BpzZYLq5qnnfaYslKiQgasP2pBQydb4lGLq644UFQ2azwsvLD7MoOhWA12/tXmejVkVReGt1Al9stuQE/bse0dbjeTzyQwxlOiMRPs4smDqQUC8nCsp0zPxxv3UZrGa7vVql4putJ3h7dQJ6kxk3B1tevqUb43oHoTeZ+WbrCT7ekGgNhMJ9nHnw6nBu6R100dVXbW3UPHN9Z7oHujP751hWHsyiX2i7M4LAuwaGsjEhj7VHc85ITg+t/qaYWXLmspi1B9tZXr+4eveHh2P9KtqeLKoAIKhd26opUpeaIplqlYovt1j+/WQWV/Lfm7o1eIlYiBpGk5klu9N4759j1vecW/sE8Z+xXfCuLpPRUtQUqW2LM8oSELVR+9OKmDrfskw2JNyLryZf2MzQS38d5vudqahU8MatPc7YVQWWoOnFv+KsSdDP3dC5Vj2Y32NOMufXgxjNCoPCPPlqsqVn2dEsLdMX7SWjuBInexveu70XY3oEkFtaxVNLT221v7azL/PG98DPzYG1R3J4dcUR0gotQUBHXxcev64jN/QIsM5EKYpCYm4Z0ScKiM8u5Vh2KbmlOioNJvRGM35uGkLaOdEtyJ1begcScZbqsWN7BlBQruPFPw/z5t/xXN/dv1Yhs6sivbG3UZNaUEFaYUWtZTMfV8ubZF3J3Cbzuaesa96wPJ3r90abVmD5XYS2gOn6y0GlUjH3hi74ujlYk/OPZZfxycRTRT6FqK8dSfm8/NcREnIseY1dA9x4+ZZu1kbMLYmiKNaCrxfaoqklk4CoDYrLKOHe6mDoiggvvr13QINnTRRF4eXlR6zB0NsTenJ7/zM7NJvMCs/8dpBf951EpYJ5t/bgruqgSVEUvtpywlqr6OZegbxze080tjb8czibWT/HUqE30cHLia+m9KeTnys7EvN5/Kf95Jfp0diqef7GrkwaFEpGcSXTF+1l3VFLIraPq4YnR3bi9v4h2KhVKIrC/rQifos5yfqjudYdaHUpqTRwLKeM9fG5/G/9cXqHePDUqCiu6uh9xrmTB7dn5cEsdiUX8unGRF6/tYf1mLPGli4Brhw4WUJchrZWQORcvUOtqo6dHDXbXc+2CyWj5g3L4/wf3oXlegrKLUnVpze9FXD/VWEEt3PkyV8OsDulkBv+t40P7+xd539nIf4ts7iS11ceZeWhLMCyHP/kyE5MHNS+xebf5JbqKKowoFa1zfcLCYjamCOZWu75ZhfaKiP92rfj6yn9LzgYWrgjBYC3zhIMGap79Sw/kImNWsV7t/diXJ8g63PM+zuer7ZYkrCnXxVWXd0Zvt5ygjf+PoqiwBURXnx2T1/cHOz4ZINlO79Zgc7+rnx8dx8ifFxqVam2VauYfnU4M6+NxFljS4XeyNK9J1kUncKJ01p1aGzVDAzzpEeQO1H+rgS3c8TRzhZbGxXZJVWkFpSzMSGPzcfyiE0vZsr8XbxwY1emXtGh1tKXSqXiyVFR3PFlNL/sTWfO9Z2tu+UAovwtAdHx3FLgVCuOmjfMurbOF5WfyneqS3r17FdwPZbAjlV/aw1u52jtZC1OGd3Nn46PufDIDzEk5JQy6dtdTBwUytwxnessiimE0WRmwfYUPlh3jAq9CbUK7hnUnidGdqJdC19mik0vBiwbTtpaY1eQgKhNScwtZfK3uyipNNAn1IOF9w1o8Iekoii8ssISDKlU8Nb4ntxRRzCkN5r5v5/283dcNnY2Kj6+u4+1urTJrPDc74f4eW86cGoJzWRWeOlPyxIcwD2DQvnvzd2oMph48Pt91tmf2/sF8+q47hSW65n07S5rftGADu14/dYedPJzpbTKwAdrj7FwR4p1Td/BTs313fy5pU8QQ8K9zrpE2MnPFfBh8pAO5JXqeGdNPL/sPcnLy4+QWlBxRgXqgWGedPR14XhuGRvic7i1z6leZv7VSzAFZbXL4OuMZ09czCqprPXY01UZTNblwPoUdYvLsCSbdwt0O++5bVW4jwt/zLiSN1Yd5fudqSzZlcbG+FyeGhXFuD5BLfbbvmh8h06WMOe3gxzNsmyG6Ne+Ha/c0o1uge7neWTLsKO6D+SgsKbvq9YUJCBqIxJzy7j7610UlOvpEeTOwvsGNvgbsKIovLHqKAu2pwDw5vge3DHgzGBIZzQxY/F+1h3Nwd5GzeeT+nJdF0tfMr3RbElEPpSFWgVvju/JHQNCqNSbmPmj5TEqFfznhi7cf1UYqQUVPPDdXo7nlmFvq+a1W7pzx4AQVsdl8cxvhyipNOBgZ0lyvndIB4xmhW+2nuDTjYkUVScft/dy4v6rwri1T1CDr9nHVcNbE3oS6evCvL/jWbgjhSsjvRl5Wp81gBFd/TieW0Z0UkGtgMjtLG02SqtqdorV/hNUFMUa8NSVBH08pwyzYpk98qlHsub+6m98PYM9zntuW+Zob8Or47ozpoc/z/52iLTCCp5ceoCvt57g0eGRjO7md96yDKL1MpjMfLIhkU82JmIyK3g42TF3TGdu79dydo+dj6IobEjIBahVxLYtkYCoDTiRV8bdX+8kr1RHZ39Xvps2sNayTn3ULHF9vdWy9f31W7tz54AzE6h1RhMPf7+PjQl5aGzVfDm5H9dEWRoXVhlMPLo4hg3VHZ7/d1cfxvQIoKTCwLRFe9iXWoS9rZqP7uzNmB4B7DpRwEM/7KO4woCfm4YvJ/enS4Arz/9xyJqg3SvYnQ/v6kOYtzPbE/N54c8469JYuI8zT46M4vru/hf1LV+lUvHg0AiKKwx8timJV1ccYVin2s1guwRYZmBOX5ar/Ry1b+dUF13891b4vLJTa/h1JXPHniwGLAHO+baKK4rCnurquP3atzvnucLiighv/pk9lPnbk/l8UxLx2aU8/uN+PJ3tuaV3IMM6+TAozOuClplLKg3kaHXkllaRq9VRUG75b11SaaDKYEJnNINiWc7V2Nng7+ZAUDtHIn1d6B7oJrvgmkh6YQUzlsRYS3vc2DOAl2/uZm2y3FocyighvbASRzsbhnXyaerhNAkJiFq57JIqpszfbQ2Gljww+ILWuT/ZkGjN93ltXN1b6/VGMzMWx7AxIQ8HOzXf3jvA+k2jUm/iwe/3svV4fq1AKbe0iinf7iY+uxQ3B1u+nTqAAR08+TM2g6eXHkRvMtMrxIOvJ/fDpCjc8eVODlTPejw8LIInRnaqrmy9nz9iMwHwdtHw1KhO3NYv2PohYjYrxGWWsPV4PnEZJSTnl5NZXImdjRonjQ0h7Zy4vrs/o7v5n7Vez4zhkfyy9yRphRVsOZbHiNNmiUKqZ3P+naxdkzStsa39YVYzCxT4r8TomiWuDt7OdS6n1QQ4dbX0+LeUggpyS3XY26jrdb6wcLCz4dFrIrl7QCgLdqTw8540crQ6FmxPYcH2FOxsVIR5O9PBy5lAD0ecNTY42duiKAoGk0KlwURJhYGiCj35ZTryynTkanWWgOcCOdvbMCDMk3G9gxjTw19mqy6TbcfzeezHGIorDLg52PLarT24uY7q9K3B7zEZAFzXxbdN5g9BEwdEW7Zs4Z133mHfvn1kZWWxbNkyxo0bZz0+depUFi1aVOsxo0ePZvXq1dbbhYWFzJw5k+XLl6NWq5kwYQIfffQRLi6nvl0fPHiQGTNmsGfPHnx8fJg5cyZz5sy55NfX1PLLdNz99U5OFlXSwcuJH6YPwvMCgqFvtp7gvereZC/e2JVJg88MhowmM48tiWHd0Vw0tmcGQ9MW7iH6RAFO9jZ8e+8AhkR4kVlcycSvd5JSUIGPq4bv7x9IZ383vtycZN15Nqa7Px/c2Zu4jBIe/mEf+WV63B3t+Oiu3lwT5cvGhFye+fUguaU61CqYMqQDs0d2ss6ApRVU8MOuVH6POUn+v/J4ahSUQ3phJTuSCnjpr8M8Mqx2jaQazhpbbuwZwMIdKaw+nF0rIKoJXv79oZdbva2+Zpt9jZrWI1F+rrXu35tSBEC/0DNndBRFseZLDQk//xp/TfDUK8S9TRZZu1jtnO15YmQnHr82ko0Jeaw7ksO2xHwyiis5llPGsZyyhj+nkx2+rg74umnwcrbHw8keDyc7nOxtrEGO3mimXG8ku6SK9KIK4jK0lFQa2JSQx6aEPF5bqeHZMZ25rV/weV5NXIzFu1J54Y84zIplJvrzSf1qldVoTaoMJn6POQlQZ05oW9GkAVF5eTm9evVi2rRpjB8/vs5zrr/+ehYsWGC9rdHU/mC55557yMrKYu3atRgMBu677z4efPBBlixZAoBWq2XUqFGMGDGCL774gkOHDjFt2jQ8PDx48MEHL93FNbEKvZH7F+4hOb+cIA9Hfpg+6IIKhP2xP4PXVh4F4MmRneqsQG02K8z57SD/HMnB3lbN11P6W4MhS0L0XqJPFOCisWXBfZYZoIziSu7+aidphRUEt3Nk8fRBhHo6Me/vo9b2HzU7z5YfzLTOFnUJcOPLSf3wd3fgleVHrNWxI3ycee+O3taZkCOZWj5Yd4x1R3NQqiscumhsuSLCi4FhnoT7OBPczgmzolCuMxKTWszfcVnEpBVbG8rWFRQN6+TDwh0pHKqePq9R0/fn3ytzKdU1gII8TtUAMprMHK6eCer6r2TnrcctSY0Dw86sYXLwZAn5ZTqc7G3o297jjOP/tvNETbJ5y6uH0pzY2qgZ2dWPkV39UBSFk0WVnMgvJzmvjNxSHRV6E+U6IzZqFXY2ahzs1Lg72uHuaIe3iwZfNw0+LpYg6EICU7NZIT67lHVHc1iyK41sbRVPLT1AUl4Zc+r4Nyou3sLtyfx3+REAxvcN4o1be7TqLxV/xmagrTIS5OHIVW00fwiaOCAaM2YMY8aMOec5Go0Gf3//Oo8dPXqU1atXs2fPHvr37w/Axx9/zA033MC7775LYGAgixcvRq/XM3/+fOzt7enWrRuxsbG8//77Zw2IdDodOt2pgnla7ZntFZozg8nMY0v2c+BkCR5Odnx3/0CC2zW8KN/mY3k8tfQAYKnZMvO6jmecU7Pr7PeYDGzUKj6b2Jeh1evPBpOZRxfHsPV4Pk72Niy8bwD9O3iSWVzJXV9Fk15YSainEz89OBh/Nwee/yOOxbssuUHPjunMQ0PD+XxzEm+vTgBgVFc/PryrN9pKI3d+Fc3+tGIA7ruyA89c3xkHOxsyiit58+94lh/ItI5xaCcfpgxuz7Aon7P2/+rX3pMHhobzXXQKL/55mM82JRHczumMXlchnpZviJkllbXur6n1c3pegaIo1t0onQNOzQQdztRSrjfh5mBLJ99T9+eWVnGoOlAaFnXmGv6aw9kADI/yPe+SiaIobKveMdKW3+Aam0qlIsTTiRBPp8uWZ6FWq+ga6EbXQDceuSaCTzcm8uG643y+KQlbtaXsg2g8S/emW4Ohh4aF8+z1nVt10Gk2K3xb3RZpypD2rSZJ/EI0+yy9TZs24evrS1RUFI888ggFBQXWY9HR0Xh4eFiDIYARI0agVqvZtWuX9ZyhQ4dib39qqWj06NEkJCRQVFRU52vOmzcPd3d3609ISMuZQjSbFZ5aeoAN8Zalq2+m9D9rpeVziUkr4uHv92E0K9zUK5D/3NClzvM+2ZBorUf07u09rctIZrPC09XjcLBTM3+qJRjK1VYx8eudpBdW0t7LiZ8fsgRDzy07xOJdaahUlt1rDw0N541VR63B0PSrwvh8Uj+O55Rx0yfb2J9WjJuDLV9P6c9LN3XDzkbNt9uSGfn+ZpYfyESlgpt6BbLuiWF8N20gI7r61asZ6pQhHXhiZCcAPtuUeEbH55pA5N/1g5JyLcsnQadNqacWVJBXncPTxf/UTNCGeMtOjsHhXrXefNYesZQV6Bnsjq9r7dwiRVH4O84SEI3uXvcXhNPFZWjJLa2ZTZKE6tbCzkbNrBGdeKO6AOiXW05YKwuLi2dpyhoHwENDW38wBLDpWC7Hcspw0dhai+a2Vc06ILr++uv57rvvWL9+PW+99RabN29mzJgxmEyWRNXs7Gx8fX1rPcbW1hZPT0+ys7Ot5/j51d4iXXO75px/mzt3LiUlJdaf9PT0xr60S+bN1fH8GZuJrVrFF5P60f8ClktS8suZtnAPlQYTQzv58N7tver81vDL3nRrbtFLN3W1bjdXFIXXVh7lj1hLQcbP7+nH4HAviissdYNSCizLZEseqJ4Z+jOOn/ako1bBB3f05o7+ITz/R5x1R9vzY7vw/I1d2ZSQy51fRZNXqiPKz5XlM69iZFc/Mooruf2LHby64ggVehP927djxcyr+PjuPvWq1fNvDw4Nx1Vjy8miSmuScw1tlWX7vIum9i69uur9bDluaS3St71HrSTFmpmeUd1qBzarqiveXl9HwHMkS0tyfjn2tmqu7ex7xvF/++eI5TWGdvRp1VP9bdXdA0MYFOaJ3mhmQfWysbg4OqOl9IfeaGZEFz+eaQPBEMAXmywpCvcMCm3w7uPWplnvMrvrrrus/79Hjx707NmTiIgINm3axHXXXXfJXlej0ZyRq9QSLNmVZt0J9t4dvRhejw/Ofysq1zNt0R6KKwz0CvHgi0l9a20vr7H5WB7P/X4IgBnDI7jvylO5RV9vPWHN7Xnntp4M7+xrTaw+llOGn5uGHx8YTKC7A/P+jmdJ9czQB3f25uZegdalM5XKUgX7jv4h/LrvJM/8dhCTWeGaKB8+vrsPrg52bD6Wx6yf9lNUYcDVwZbnbujCnf0vrjaIg50NEb4uxKYXW7fH10isngmqWToDy2zY1urlqf4dTs3GrDxoCXBOD2DiMkqIzy7F3lbNiC6n7k8vrGB7omX286aeZ+5iWbrXkvB4XWffs7b0qKEoCn9W77gb0+P8s0mi5VGpVNzYM4BdyYWkVuepiYvz85500gor8HXV8P6ddX8JbG1i0orYnVKInY2q1nt4W9WsZ4j+LTw8HG9vbxITEwHw9/cnNze31jlGo5HCwkJr3pG/vz85OTm1zqm5fbbcpJZo2/F8nv/DEqA8fl1Hbukd1ODnMJrMPLJ4Hyfyygl0d+Dryf1wsj/zwzcxt4wZi2MwmhXG9Q7kqdNyGFbHZfPGKssOsedu6Mz4vsGYzQqzft5PTPUy13fTBhHi6cS325KtAdyb43twS+8g3lwdbw2G3ru9F3f0D2Hp3nSeWnoAk1nhtn7BfD2lP64OdnwfncLUBbspqjDQI8idVY9fzd0DQxvljaxmm3zlv3qN1eQt9Qg6VZk29mQxeaU6nO1trMnQGcWV7E6x7PIae1qA8+NuS47U6G7+eDjZn3H/lZFehPyrCWuF3siy/ZYtsXfWUQjz32LSikgrrMDJ3uaMApKi9XBxsPxt1sxaigunKIp1M8fM6zri1kbatnxbPQt/S+8g/N2lsXGLCohOnjxJQUEBAQGWFhBDhgyhuLiYffv2Wc/ZsGEDZrOZQYMGWc/ZsmULBsOpN421a9cSFRVFu3atI7fiZFEFM3+MwazAhL7BzB5xZvJzfcz7O56dJwpxtrdh4bSBdXb+1lYZePD7vZTpjAwM8+Tt23pZp5XjMkqY/XMsAPcOac8DV4cD8N7aBNYctlSt/nbqAKL8XVkdl83rqyy71567oTN3Dgjlm60nrG9Kb43vyfi+wfwZm8Gc3w5an/Od23piq1bx8frjvPDnYRQF7hoQwtKHh5wRSFyMU3WCas8E1Sx3nZ6o/Msey5LqqG6n6sMs3pmKoli2x9fkFRVX6K21PiaetlZfWmWwtiuZPLjDGWP5ZU86JZUG2ns5cXXH8yfy/rTbMp4x3QPqDGhF63C8ett/yAVsmBC1ncgvJ6O4EntbNbe3kXIGJ4sqWF39fnZ/HbuH26ImDYjKysqIjY0lNjYWgOTkZGJjY0lLS6OsrIynn36anTt3kpKSwvr167nllluIjIxk9OjRAHTp0oXrr7+eBx54gN27d7N9+3Yee+wx7rrrLgIDLd/KJ06ciL29Pffffz+HDx/m559/5qOPPuKJJ55oqstuVJV6Ew//sI+iCgM9g915/dbuF7Tu/WdshnWnwXt39Kru51Wb2azwxM+xnMgrJ8Ddgc/uObWcVlyh56Hv91FpMHF1R29euNHS72v5gUw+3WjZxv7mhB4M6ODJ0Swts3+ORVEs3eIfuDqcDfE51gBpzvVR3DEghF0nCnhq6QEUBSZW9zVTqVR8tinJmrv0f9d1ZN74xt0Sm15YYS2wGOV/6vew80QBWSVVuGhsrTvpCsv11uWpmtkbbZXBulvu3is6WB//XXQqlQYTnf1dGRzuWev+0ioj4T7OjPrXjI7eaLbmUk2/Ovy8Fbcr9EZr8vUd/dvGG3tbZDYr1t5+Ulbh4tUUe+0V3HZqdn2/MxWTWeGKCC9rpf22rkm/Pu7du5fhw4dbb9cEKffeey+ff/45Bw8eZNGiRRQXFxMYGMioUaN49dVXa+X3LF68mMcee4zrrrvOWpjxf//7n/W4u7s7//zzDzNmzKBfv354e3vz4osvtooaRIqi8PSvB4jL0OLpbM9n9/S9oD/mI5lanqmehXnkmghrE9Z/+3RjIuuO5mJfXWm6pq6Roig8+csBMootO8c+mdgXWxs1x3JKrc/70NBwxvcNpqTCYA2cror05qWbupKcX87//RhrDXweGRZBemEFD/+wD4NJYWzPAF67xRLoLd2bzjtrLDvPaprCNraaYObqjt61ps6/rF7eG983yPp7/mbrCSoNJnoEuTOoerls/rZkSioNRPg4W5esiiv0fF39+EeHR1qD1jKdka+3Wu5/bHjkGct9y/afJKO4El9XTb2+ua44kEWZzkgHL6c6axmJ1mHt0RzrzqDR3VrP0n9TqfmiYatuUYsmF8xgMvPbPkte4ulf2tq6Jg2IrrnmGhRFOevxNWvWnPc5PD09rUUYz6Znz55s3bq1weNr7n7ak86Kg1nY2aj4/J6+F1RrqMpg4vGf9lNlMDOsk0+tfKDT7Ust4oN1llmZ18Z1r9UsdMH2FNbHWwKlz+7pi7ujHTqjicd/3E+F3sQVEV48PToKRVF4btkhazHGj+/ug0lReGzJfkp1RgZ0aMd/b+qGwaTw2JIY66zXu7dZEhwPZ5bwn2WWLbGPXhNxSYKh/DIdi6uXr05vT7IjKZ/Nx/JQq2D6VZalwJNFFdbk8cev64hKpSK7pMqaFzVrRCfrG+0Ha49RqjPS2d+VG3ucCji/2JREcYWBcG/nM/K+dEYTH2+w5MtNvzrsvMGuoigsik4B4I4BIW1ih0xbVK4z8np1sdQpQ9rj7tQ28l0upZoK/kl5ZRhM5nqV6GjJtifmk1+mx9vFvl67VtuK1v1fvRU7kVfGqyssxcPmjO7MoHq0cqjL26sTSMwtw8dVw4d39q5zSaZMZ+SJX2IxK3Brn6Bapd0PZ5bwZnWbjefHdqFboCXZ+J3VCcRnl+LlbM9Hd/XB1kbNsv0ZrDyUhY1axacT+9LO2Z73/znGkSwt7Zzs+GSiZQnuo/XHOHCyBHdHOz6f1A9Hexsq9EYeW7IfvcnMiC6+PD360hSje2d1AqU6Iz2C3K3LVzqjiZf+PAzApMHtCfVyQlEUXl1xhCqDmUFhntYdY6+vOkqF3kS/9u0YWx34HMnUWnOEXrixq3UWKL2wgq+qZ4fmXN/5jN/999GpnCyqxM9NU2du0b9tS8zncKYWRzsb7q6j8a5oHd5YdZS0wgoC3R145JrG/1LQFg0M88TbxZ7cUp21/EVr9k91zbPru/u3+uCvIeQ30QLV1Muo0JsYHO55wQlxW4/nWWc43p7Q86xNX99YdZTUggqCPBz5783drPcbTWae+e1gdZDix+TqHmf7Uov4tvp535zQEx9XDfllOl6urv4667qO9Arx4HBmiXW56K0JPfFzcyAxt8yaWP3m+B7WhORvtiaTnG/JXXr39l6XZPZjdVwWP++1JCS/dNOpwOXdNQkczy3Dy9meJ0daArE/YzNZczgHG7WKV6qX81bHZVuLQr58czfUapX1d2RW4IYe/taWJoqiMPf3Q+iNZq6I8GJ0t9q5Q9klVXy47jgAT4zsdN5mi4qi8EF1XtWdA0IuqIGvaP4W7UixLum+dVtPXNvIbqhLTWNrY+3R+MIfcRzOLDnPI1q2rdU10q7rIrtQTycBUQv03j/HOJxpmVX56K4+F7TNXFtlsLblmDy4/VlrFu1IymdJ9Rvwu7f3qlW4a1F0KnEZWtwcbHljvCUoMJrMPPf7IRTFkmtTk0Mzb1U8JZUGugRY2g8oisKLfx7GrMDYHgHWIoWvrzyC0awwoosvY6pnWEoqDdb8m2fHdK61Xb2xxGWU8MQvlt/Hg0PDrQUtN8TnWJOa35rQE3cnO9IKKnihuprt/13XkSh/V3K1VfxnmaXswUNDI+hevS3/yy0nOJRRgpuDLS/ddCqYXLr3JNsS83GwU/P6rT3OCPBeWXGYMp2RPqEe3N7v/FvttxzPJyatGAc7NY/KrEGrtOpQFi8vt8xUPj06ql47DkX9PTwsgn7t26GtMnL3VztZdSjrnCkdLVWutor0wkrUKugvVexrkYCohTmSqeWb6lmVd27rhV8dW+Pr46N1x8nR6gjzdmbuDZ3rPMdoMvPyX5ZZnUmDQxkScWpZLq9Ux4fVMxLPjulibTXxy96TJOSU0s7JjufHdgXgaJaW3/dbEvjeuLU7tjZqNiXksS+1CEc7G56/0dIW5HBmCRsT8rBRq3jutFYhaw5nU6ozEunrUmfRwouVkF3K5G93WfOd5lQvxx06WcJjS/YDllyNEV39KNMZmf7dHkp1Rvq1b8ej10RgMJmZsSSGgnI9nf1dmT3SUvZgT0oh71f/jl68qZv1v1VqQbn1g23WiE6EeTvXGs8/h7NZdSgbG7WK18f1OG/AazYrvFudaD5xYPs6yyWIlm3lwSxm/rgfswJ3DwyVoPcScLCzYcF9A+hfHRQ9ujiGKfN3E5NWd4unlupIdX/FCB8XmWH8FwmIWhCTWeE/fxyyzqqMuMCie4m5ZSyq7j/20k1dz1qrZsnuNBJySvFwsuPpUbWDpnfXWHJtega7W7ebV+pN1sTrmdd2tCYqfrD2GIoCY3sG0CfU8o3k4w2W5aDJQ9oT4G5ZFluw3TKmG3oEEH5a/7U11dvIb+4V2OjVY/ekFDLx650UVRjoFezOl5P7YWujJjG3jPsW7qFCb9kN9/zYrhhMZh7/cT/Hciw5V59O7GsJWlYeZU9KES4aWz67py8aWxtyS6uYuWQ/purilRP6WhKmdUYT//dTLOV6EwM6tLPWaqpRUKbj+erZpweHhtM18PzbYZcfzORQRgnO9jY8Olw+KFubn/ekMfPHGExmhfF9g3ht3IWV1hDn5+Zgx+IHBvH4tZHYqlVsPZ7P+M92cNvnO/guOoXc0qrzP0kzl5RXDnBBPS5bO6na1oIs3pXK/rRiXDS21lmVhlIUhZeXH7YuS10TVfdSWWmVwZrD8uTITrV2sqTkl/NrjGXG56WbulqTgX/ak0ZeqY7gdo7cMzjUeu7a6nopNQUjE7JLiUkrxs5GZQ0IjCaztblpTS5SjRP5lj/gxt5G/sPOVP77l+V30T3IjUXTBuLqYMfRLC2Tv91NfpmOLgFufD6pr6Wr+GlNc7+c3A9/dwe+2XritOa2vQj3caHKYOLB7/aRra0iwse51pLYK8uPEJtuqdj9wb+S2M1mhdm/HCC3VEekrwv/d935C2wWlet5pTo36+FhEdZSCKLlUxSFD9cd56P1lr/DO/uH8Mb4HuetRSUujsbWhidGRXFbvxA+2Xic32Iy2JtaxN7UIl766zB9Qjy4uqMPQzt50yPIo87WRs1ZenXR2Q7/mpkWEhC1GAVlOmvn92euj7LOqjTUhvhcth7Px95WzQs3dj3red9sTaawXE+4jzN3/6sD8hebk6w9xfq1twQpJrNizfN55JoIa8XmH6orNl8T5UOkr6XIYU0bims7++LjavkAj8vUUlJpwN3Rjr6hHrVer6TSUmW8sRoPZpVU8tKfh607LW7sGcDbt/XEyd6WbcfzeWTxPkqrjHQJcGPx9EE42tnw9K8HWbY/A1u1is8n9aVvaDuW7k3ntertz/+5oQvXd/fHZFZ4cukBYtOLcXe045t7B+Bc3Xtsya40a1uSj+7uc0aZhM83J7HlWB4Odmo+nVi/mlKvrjxCQbmeTn4uPDgs/LznNyc6o4nM4ipKqwzojGZMZgUXjS0uGlv83BzOm0jemlUZTDzz20Fr0c+Z10byxMhOMjN0GYV6OfH2bb14YmQUyw9ksvJQFrHpxcSkWX4+Wn8cBzs1fUPbMaCDJwPDPOkT6tHsq8NnFFcCEOQhS+v/1rz/ywmrLzYnUaYz0j3IrVZ9nIZQFMX6bfO+KzvQ3qvubwiVehPfVdezeWJkJ2xP25ZZUmngj1hLQDNjeKT1/m2J+WSWVOHhZMeEvqe63q+s3sJ6elC1I8nSCHXMaQUgUwsss0BdAlxrvR5AoIcDheV6jmZpL6qiqs5o4oedaXyw9hhlOqNl1mdUFA9XBxKLdqTwyoojmMwK/du349t7B6CxU/Po4hj+OWLZUfbBnb25trMfv8ectLYUue/KDky/OgxFUfjvX4dZeVptqJr8oA3xOdZec0+M6MTwf83MbUzI5d1/LAHvKzd3r1Uh+2w2JuTye0wGKpVlN19NENocKYrCsZwytifms/NEAXEZJWRpqzhXzqq3i4Ywbyd6BHnQK8SdIRFe1ly11iyrpJKHvt/HwZMl2FbvYpw4SMooNBV/dwceGBrOA0PDySyuZOvxPLYcy2dHUj5FFQZ2JBWwI8nSmNnORkWfkHZcEenF8Chfega7N7sgNqvEEhCd3pZIWEhA1ALkl+n4LtpSx+bJUVEXnEezI6mAgydLcLSz4cGrzz6b8GdsBkUVBkI8HWsFLQDLYk5SZTDT2d+11g6FP6pnfW7pFWid2TiSpSWrpAonexuGVbe6qDKYOJxpSeo7fQksv0wPgFcdSz7DOvkQl6Hlu+hUbuwZ2OAp6jKdkV/2pPPlliRytDoA+oZ68Mb4HnT2d6OwXM+zvx20zhiN6x3ImxN6oq0ycN/C3cSkFWNva5m1GdnVj8W7Unn+jzgUBe4ZFMqL1TNtr688yvc7U1Gp4P07enNF9Rb7famFzFhsSYi9vV8wj10bWWt88dlaHv9xv7VS9x31aOCaW1rFszUB2RVh9A1tnrtFisr1/BZzkl/3nSQ+u/SM4072Nng42qGxs0GlshQdLK0yUqE3kV+mI79Mx54US1KrSgV9Q9sxprs/t/cLaZUFCaOTCpj5Ywz5ZXraOdnx2T39am1mEE0r0MOROweEcueAUMxmhaS8MnYlF7InpZDdyYVklVSxO6WQ3SmFfLjuOMHtHLmpVyATB4Y2aq/Fi5FZbMmDutBVhtZMAqIW4JMNieiMZnqFeHBNpwvfaluTSH17/+A6A48av1TX4pk0qP0Z+Qp/nNa3q+abj9mssPmYpa7FDadVYa7pDN+vfTtrkJRXqsNkVtDYqgk4rbuyW03n7sozO3ffNSCU76JTiU0v5rElMbxyS/fzdmbWG83sTyvij9gM/ozNpEJv6Vrv7+bA49d15K4BIahUsDoumxf+jCOvVIedjYpnru/M/VeFcSijxJoH5OZgyxeT+zEk3IsP1h6zzrLdMyiUV2/pjqLAKyuOWHOJXhvXnZt6WXbDHcnUct+CPVQaTAzr5MMb42tvsc/RVnHfgj2UVhkZ2MGTl246+zJmDYPJzGOL95OjteQaPTW603kfc7kVV+j5dlsy87clU179u7e3UTM4wosh4V7079COMG9nvJzt6/wGXVJhIL2ogmM5pRw8WcLe1ELiMrTsSy1iX2oR7/1zjNv6BfPo8IhW8cauKApfbz3BW6sTMJkVOvu78vWU/s3mQ1ScSa1W0dHPlY5+rkwa3B5FUUgtqGB7Uj7bjuezKSGPk0WVfL4piS83J3FdFz8eGx5JrxCPJhtzcYWewnLLl8/2XvJv698kIGrmckurrHWAnh4VdcHTr+mFFdbk5n8nLZ8uMbeMmLRibNUqbu1Tu5VEVkklsenFqFVw42nb3xNySiks1+Nsb0Pf02aNjlZv76ypyQNQVGH5Y/Rwsqt1LTVv/PHZpZjMSq1ALMTTiY/u6s1D3+/jnyM5bIjP5bouvvQIcqejnysaWzUms0JBmZ6kvDKOZpeyN6XQGgQBhPs4M/2qcCb0C0Jja0NSXhmvrzzKhvhcACJ8nPnorj50DXDj660neGdNAgaTQoSPM9/cOwB/Nwdm/Rxrzel4/LqOzB7REYNJ4ZnfDlrzot64tYd1eSMuo4TJ3+5CW2Wkf/t2fDGpX62qsPllOu75ZhdZJVWE+zjz1ZR+9Vr2enXFEXanFOKqseXLyf2aVc6CyazwfXQK7/1jaVUC0CXAjXsGhXJTz8B6z+q4O9nh7uRO9yB3xlcvwWaVVPLP4Rx+3J1GfHYp3+9M5c/YDN6a0NNas6ol0lYZeHrpAdYctvx9ju8TxOu39mjTOVQtkUqlooO3Mx28nblnUHsq9SY2xOfy0540th7PZ+2RHNYdzWHalWE8OapTk/zdHs2yzNIGeThacxvFKfIbaea+j05FbzLTN9SDqzp6X/Dz/LwnHUWBqyK96VhHJ/saf1fn/Fzd0fuMejY7Ei3r5D2DPazJ0GBZ8gHoGuhW6wO/oHoZ7PSZoJq6F2VVxlrP3SfUAw8nO/JKdfwdl1Ur4AK4trMfSx++gjdWHWV3ciFrDudYP0DOxsvZnmGdfLhzQAgDwzxRqVRklVTy8YZEft6TjsmsYGej4qGhETx2bST5ZTomz9/F9urrHN3Nj3du70VJhYEJn+/gSJYWG7WKV6tzOkoqDcxYHMO2xHxs1SrenNCT26obsO5LLWLqgt2UVhnpFeLBt1MH1PqAKyrXM+mbXSTmluHv5sDCqQPrVXDy++gU6/Lpu3f0alZbZ+MySnhu2SEOnrRU+e3s78qsER0Z3c2/UfIoAtwdufeKDkwZ0p7oEwW89Xc8B06W8MjiGCYOCuWVm7udkX/W3B3OLOHRxTGkFlRgZ6PixRu7Mmlw+2aXdyIaztHehrE9AxjbM4DE3DI+2XCcP2Iz+XZbMmuP5PDFpH71KqvRmHaesLy39ZWCjHWSgKgZM5rM/Ljbsnw1/Rw5P+ejKIo1EfrO8+SnrK+eMbm++5kdtPemWnI5Bv+rb1pibhnAGYnA5XpL0ON82jch3+pAqlxvIrukyrr0pbG1YcqQDvxv/XGe+/0Qkb4udPav/WbRO8SDXx4aQlxGCdsT8zmapSUprxyzomCrVuHmaEeEjwsRPs707+BJlJ+rNd/qcGYJ325N5q8DmRjNlkzeEV18mXtDF0I9nViwPZkP1h6n0mDC0c6Gl27qyp0DQlh1KJtnfz9IaZURT2d7Pp3YlyERXiTmlvLAd/tIzi/Hyd6Gzyf1s+ZJrTuSw2M/xlBlMDOgQzvmTx1QqwBaXqmOyd/uIj67FB9XDUseGERoPaav/4zN4MW/TlUqbi5dzk1mhS+3JPH+P8cwmhVcHWyZc31nJg4MvSRbxFUqFVdEePPrI1fw/tpjfLE5iSW70rC3UddqLdOcKYrCT3vSeemvw+iNZoI8HPnsnr5NupwiLp1IXxc+vKsPt/QJ4j+/WxpcT/xmJ4unD7L2f7zUFEVhzWFLTbcrJC+tThIQNWPbEvPJL9Ph6WxvbYFxIY5mlXKyqBIHOzUjztG7plxnJC7D8u2+pufW6RJzLdOtXQJqBz5FFZa8Hy/n2nlJbtVBQGnVqbwgZ40tvUM8iE0vZkN8bq3dM48Mi2Db8Txi0oqZ8u1uPr2nLwM6nFl7qHuQe61luLMpKLM0avwtJoPY9GLr/YPCPHlyVBQDwzzZciyPGYtjrAm/A8M8eXN8D7xcNDy19CC/Vddb6hPqwScT+xLk4cjquGyeWnqAMp2RIA9Hvpzcj+5B7iiKwnfRqby83NKS5JooHz67p2+tqfHM4komfbuLE3nl+FYHQ+H1mOVZfzSHJ385YE3kbi6VijOLK5n1Uyy7UwoBuL6bP6+M63ZZdoPZ2ah55vrOdA90Z8aSGBbuSKGzvyt3DWzeO7Iq9EaeXxbH76eVn3jv9l7Sf64NGB7ly9//N5R7F+wmNr2Ye77ZxS8PDaHTOWbtG8uBkyXEZ5eisVUzpo4vvEIComatpuvy2B4BF9WReEt1I78rI7zPmZdwNEuL0azg56Y5o0YOQHqhZbtmh39t168yWHJ1/l03p2ZZLaWgotb9o7v5E5tezLfbTnB7/2DrtTna2zB/6gDu/HInCTml3P5FNFdEePHwsAgGhXueN7+mQm/k0MkS9qQUsiE+l/3pxdZt3TZqFTf0CGD6VWH0CvEgJq2ISd/sYluipQSAh5Mdz93Qhdv7BbPmcA7//XoX2doq1Cp49JpI/m9ER0xmhZf+jGNR9ZLVwA6efDapL94uGvRGMy/9FWed0btrQAivjeteawknPlvL1Pl7yNZWEeThyOLpg+pVHG3lwSz+76f9GM0KN/cK5NVbmkel4vVHc3hy6QGKKwy4aGx56aau3NYv+LKPbWzPAJLzO/HuP8d4feVRruviV2tJtzk5llPKo4tjSMwtw0at4qlRUTw0NLzRK7CL5svdyY7v7h/I5G93cyC9mAe+28tfM666pLsmFUXhveqyHmN7BFySfpCtgQREzVSVwcTq6pYVFxvN763+9v7vpa5/q1n6Otu3lZoCie3+9cfkUp2cV6GvnRfUr307Fu5IYVdyYa377xkcyldbkkjKK+e9f47xzPWnksU9nOz56cHBvL0mgV/3pVtrfDja2dAz2J3/b+++45uq1z+Af5KmSbon3XvSFigthVL2KEsEARFFphW5/MQrwwFcRES9DlTuRUHRqyAqIsoSQZZQKKPQAaWF0kX33k3SkWZ8f3+kDUQKLaUjbZ7369U/enJO+/2Scs6T73geR3MDWBjxYaCvhwaZArWNChRW1yOvqg45FXVQKDUT2/RzNMWMgY54aqAjrI35uHynAgu+u4oL6apAiK/HxcIwV7wyzgviBjmW/hivzpjtZmWIT58JRIibJVKKRVi174Z6ofjSUR54faIv+DwuCqvr8crP13AttxocDrB2cl8sHeWhERhcyijHsp9UCR+9bYyxO2JIm/KA7IvNxbqDqnIt0wMd8NmcwG5/eMoUSnx6MhVfNyXiHOBkhm1zg9s07ddZXh7jhVPJJUjMr8GW06n4cNaAbmtLSxhj+C0+H2//fhMNMiVsTAT4Ym4QQlv5P0l6J1OhPr5fPBjTtl1ETkUdVv2agG8XhnTa/+3f4vJVCXn1uFgR3noGfF1FAZGWupJZAVGDHLamglYDmdYkNU2DBbuaP/S8wqYMpg/ajilTKAHgvjxAzeuCmlPCNwvztAKPy8HtIhES86sxwEn1+02F+tg4LQAr9yVgx/k74HJUa2KaAwgLIz4+nNUfy8d64puoTPyZVIxyifS+wKoltqYCBLtYYIS3Ncb62sDB3AA19TIcuVGIHy5nI70p6GveRffqeG+YGepj+9kM7LqUjUaFEjwuB/8Y7YF/jvMGj8vB9sgM/PevNMgUDBaG+tgyZyDG9lUlVoxMLcXqfQmoqpPBRMjD588FqV8DVA/C3Zez8d6x21AoGQa7WeDbhYNb/TSo+kSXhm2RGQBUI07/ntn9ZRuKaurxys/XEd+0nuyF4W5YO6VvtyeF5HJVC5Jn74jG/vh8rBjv02pqhq4ikcqx/lCSeofiSG9r/OfZgVRmRcdZGPGxY/4gPP3VZZxNKcWOqDt4eYxX6xc+oiuZFVjflBR2Rbj3AxPyEgqItFbzdvDxfraP9amhpl6mTkb4sN1lwN21QJYPGE410NeDWCpHvUyhcbx5p0RiU+DVzNpYgOmBDjh4vQBfnM3A/xaGqF+bEeSIcokU7x+7jS/P3UF6qQRrp/TV2DXlZGGId5/qh03TA5BRKkFSQQ3KxFJU1jZCKldCoM+FkKcHezMhnC0N4dHHSJ2TplYqx4X0cvz72G2cvl2CRrkqmDPk6+HpYCcsHeUBSyM+dkdn45uoTFQ39X2ElzXenuYPH1sTJORVY/2hJHUiyXA/W3wwqx9sTIRokCnwyclUfHcxC4BqJGr788EaN5sGmQIbDt/Eb/GqdUizgh3xwcz+rZbkqG9U4I39N3A0UTVl+uo4L6zSgrINkSmleO23G6isbYSJgIdPnhmAyf20Z7t7iJslhrhZIia7ErsuZ2HdlPbV++tI13KrsGpfAnIq6qDH5WD1BB/832jPbh/lI9qhn6MZNk0PwNqDSfjsVBp8bU0w/iHrPB9VTFYl/vFjPGQKhif62+H/RmvH2kNtRQGRlrqaqRoNGeXd/kSMAJBfpRq1sTbmqxc5P0hz0CB4wAPbypgPsVSOopp6dUkKAAhytgCPy0FmWS0ySsXqmmUAsGyMJ36/UYjTySX4JSZXY8HrkpEeEOjrYePvN3G6Kb/Q7GAnzA5xQrCLhXo0hMO5mwDtQWQKJW4VivDHjUL1NFtzfwDAx9YYc4e44OlBTlAqGX66koNdl7JR0ZSkzMvGGOuf8MMY3z6orpNhw+Gb+Omqqg6bmYE+3n7SH7OCHcHhcHCzoAarf01AWolqtGlhmCv+9YSfRqCTWSbBy02LtbkcYN0UPywZ6d5qUFNQXY+lP8ThVqEIPC4HH8zs36bM1Z2pUa7Ep6dS8U3TFFlLwZ+2WDrKAzHZlfj5ai5eHefdbblW5AolvjibgW2RGVAoGRzMhPh8bhBCWtgkQHTbs4OdEZ9Thd/i8/F/P13Dd4tDMPIx7/t/T/Q5yNUCW+YMpEC8FRQQaSFRgwxpTTu6Bj1mvojSptGhPm3Y9cNtmgmTK1ouMOXZxxjZFXXIKJVgmOfdXWgWTfl+zqSU4peYPLx1T9FYH1sTrJ7gg09OpuLt32/B3JCvsaV/wVBXhLpbYvOJFPx1uxT74vKwLy4PlkZ89Hc0g4+tMVysjGAq5MFEyINcwSCVK1FdL0NxTT0KquqRWiLBnVIJGhVKjfa6WBpior8tZgQ5IsDBFBmlEmw5lYZf4/LUSRtdrQyxYrw3pgc6QMmAnZeysfWvNIia8iTNCnLEv6b6wdpYgAaZAtvOZmDH+TuQKxmsjfnYPHsAxvW9+4mOMYZD1wuw4fBN1DYqYG3Mx9bnglrctfd3906/WRnx8eW84G5fY3KnTIKVvySop10XD3PDuie6f4rsQcb1tYG7tRGyymuxNyb3sdJVtFdyoQhvHriBmwWqkcWnBjrg3af6dVhxYtK7cDgcfDCrP0QNMpy8VYIlu+PwzvQAPBvi3K4AJja7Ep+cTEVM0xKDmUGO+PfMfm0qFq3rKCDSQuklYjCmKjPxuLtlmhdCWxq1fjM2bbphV9c3tvj6ACdznEkpxeWMCiwMc9N4bf5QV5xJKcUPV3KwaJibRsmB/xvtieQiEY4lFuHlPfFYP9UfLwxzU/9n97E1wbeLBiMuuxJ7Y/JwKrkYlbWNOJ9Wpi4J0hZmBvoY7GaJUHdLjPHtAy8bY4ilcpxIKsa7R5PVNwhAlT156Sh3PDnAAVwOB4euF+C/f6Uhv6pe/frbT/qr60hF36nAW4eTcKdMVYR2Sj87vDejn8Y6kJo6GdYfTlJPdYW6W+LzuUGwNX14MCpXKLHldBq+PHcHgGoE5usFIXDsxuKLjDHsjcnDe0eTUS9TwMxAH5tnD9Ca3EcPwuVysHSUB9YdTMKO83cwd4hLl40S/T1gNhXy8N6MfnhqoGPrFxOdpq/HxRdzg7H852s4nVyCdQeTcCA+HxunBaCfo2mrI8sNMgWi0srw09VcRDXdMwU8Lt560h/zQ126fbq9p6CASAs17/bytn38LMTN630M2vDpwK7pwV3UVPzv78b49sF//krDhfQySKRy9e6y5tfCPKwQnVmBtw7fxK7Fg9UBD5fLwdZnB8JEwMMvsaqH7JGEAmx40l9jCiHEzRIhbpaQKfojMb8aKcVipJdIUFhdD3GDHLWNcuhxORDy9GAs5MHBTAg7M4OmJI4mcLIwAIfDQU2dDGdTS7DldBrOppRC2jR1psflINzPBvOHumKElzXkSobfEwrx5bkMZDYFOn1MBFg9wQdzQpyhx+WgVNSAD/68ra7hZm0swHtPBdxXKiIytRTrDiShWNQAPS4HK8d74+WxXq0ugs4ur8XKfQnqPEkLw1yxfqpft47AFNXUY+2BJHUwOtzLCp8+E9hjaobNHuSEHefvIKeiDp+eSsXGaZ2brJExhhM3i/H+sdsoaNqY0JX5mEjvwOdxsWP+IOy6lIUtp9MQl1OFadsuwsXSEOP62qCvnQnszIQwEeqjVipHTb0MaSVi3CoU4WpmhbpmII/LwTMhznhlnFe3fqjqiSgg0kIFTQFJRxR25DU9kOXKlqfB7tW83f5WUU2Lr/d3NIOHtREyy2txID4fi4a5qV/jcDh4Z3oApm+7iPNpZfjoRArWTemr/mTC0+Piw1n94Wdvik9OpuJGfg1m74hGoLM55g1xwTg/G/Voi74eF4NcLTHItW3rLarrGnEjvwa/xObi8p0KJObXaGy/97IxxswgRzwd7AQ7MyEkUjl2XcrGzktZ6hEhc0N9LBvtiUVhbjDgq7b0fxmZia/O30FdowIcjioh4huT+mpMfVTXNeLdo8k4eE2VZM/D2ghbnh2Iga1kHGaMYV9sHt49moy6RgVMhDx8OKv/fSVLuhJjDL/G5eH9Y7chbpCDz+PijYm+eHGEe49ae6Cvx8U70wLwwvex2HUpG2EeVpjYSSNbVzMr8MnJVHUWdwczITY86d+ja6uR7qPH5WDJSA880d8eHx5PwcmbxcitrFMXjn4YezMhpva3x8Iwt25NgdGTUUCkhUpFqoDIrpWplrZozpJcK5W3cibQ38kMHI4qAeO9ZTWacbkcLB7uhrd/v4Ud5+/gmRAnjSzMvnYm2Dx7AFb8koBvojIhUyixYaq/+mHK4XCwaJgbpvS3w2cn03Dwej5u5FXjRtPoiLeNMYJdLODexwiuloYwM9SHsYAHfT0uGuVKSOVKVNZKUSaWIq+qHpllEqSXSpDzt8SPAOBra4KJAbaYFGCHAAfVkHNGqRjvHc3Er7F56sKj1sZ8LBnpgflDXWEs4EGuUGJfbC7++1c6impU70OQizk2TQ9Qpw0A7pZD+fex2yiXNILDAV4c7o7XJvq2WpSzRNSAtQcSEZmqGoEJdbfElmcHduunuYxSMf516KZ6WnGgszk+fWaAxgL5nmRsXxu8OMId313Mwqu/XMfXC0LUpVUel1LJcC6tFP+LykJ0U20ooT4XS0d6YNkYT60qtkt6JgdzA3wxNwi1UjkuZZTjQno58qvqUFTTgNpGOYz4qjWVHtbGCHA0xUBnc/R3NKOpscdE/3O1UPO6H/MOyFzavAapVCxt9VxToT6CXSwQn1OFU8nF960TAoA5Ic74JioT+VX12Hom/b6tzU8NdESFRDVqsutSNnIq6vDhrP4a62hsTIT4ePYAvDHZF7/G5eFIQqFqeqxUos4T9KjcrY0Q5GyOME8rhHlaqTNtixpk2Bebh/3x+epP8QDg0ccIEcPdMXuQE4T6elAqGf64UYj//JWmnj5zNDfAm5N9MT3QQeNGk1EqwYbDN9UPQy8bY3z89IBWF8A3L7je9Ecyaupl4PO4eG2CD5aM9Oi2/EISqRzbIzPw7YVMyBQMBvp6WDXBGy+O6L42dZQ1k/viTpkE51LLsHhXDP451gsvj/Vq9+LSwup6/HGjEL/G5anXkunrcTAnxBmvjvduda0YIY/KSMDDxAC7ThvhJJooINJCzXPBHfFJs7nSfFF1A+QKZavVwCcH2Km2gMblY0ELVbeF+np4Z1oAlvwQh2+iMhHmYYUxvjYa50SMcIeVMR9v/JaIsymlGP/Zeaya4IN5oS4aDyNrYwFeHuOFl8d4obK2ETFZlUguEiGnohZ5lXUQNchRJ5WjUcEg4HHB53FhacSHtTEf9mYG8OxjBI8+xghwMNVIRS9qkOH3hAKculWCv26XaKwhGutrg3mhLhjt0wdcLgcKJcPRxEJ8fiZdvY3ewlAfy8d6Yf5QV432SqRyfHEmHd9dzIJcqWrTq+O98dJIj/uSVf5dQXU9/nXw7rqcAU5m+OyZwFZzQ3UWhZLhwLV8fHoyVR0sj+9rg01PBbRYtqUn4vO4+HrBILx9+Bb2xeXh87MZ2BeXh6eDnfD0ICeNnFctaZApcKuwBlFp5YhKL0PCPaVgTAQ8zA11weJhbm3KOE4I0X4cxljri0t0nEgkgpmZGWpqamBqatr6BY+pubTEf54NxMwgp8f6WUolQ/93TqK2UYHTq0a1+gCukEgx7KOzkMqV2Ld06AO3fa87mIS9MbkwEfKw96WhLRZbvV0kwtqDSeopMWtjARaGuWJmkGOHrI9qJlcocbtIjAsZZTifWoZruVWQKTTXEM0KVq0hav4U3yBTYH98Pr6JykRuU4ZtEyEPS0Z4IGKEm0Z1eqWS4eD1Amw+kaIOHsL9bLBxWkCr/VAoVZmqPz2VirpGBfg8LlaM98bSUR6PVZ+uvRhjOJdaho9PpKgL2rpaGeKtqf4I97PptUPuf9woxAd/3lZPgwKqDwu+diZwMDeAgMcFj8uBuEGOitpG5FbUIaNMcl8pmCHulpgx0BHTAu01/kYIIdrpUZ7fNEKkxZTK1s9pDZfLgZ+9KeJyqnAtt6rVgMjKWICnBznh56u5+ORkKn5bFtbiQ1KVPVqM2OwqPPfNFXyzYBCG/S3Xjp+9KQ7+3zDsi83DtrPpKKxpwJbTadhyOg1+9qYY17cPAp3M0d/JDHamwjY9jGvqZcirVOVCul0kwq1CEa7nVqlH1Zp59jHCpAA7TO5npzG3Xlhdj5+u5ODnmFx1dmoLQ30sDHNDxAj3+3LFXMmswId/3saNfNVCcxdLQ2yc5t+mbLI3C2rwr0NJSGy6NsTVAh89PQBeNo+/e/BRMcZw+U4FtpxOU5fdMBXy8Mo4Lywa5qa1eYU6yrRAB0zwt8XZlFIciM/HubQyFNU0aARILbEy4iPUwxKjvPtgtG+fHrPTjhDy6Cgg0kJGTVNldX8rkdFewzytEJdThYsZFXh2sEur5786zhuHrhUgLqcKhxMKWhyl4vO4+HbRYCz9IQ5XsyqxeFcsNkzzx7whLho7kvS4HDwf6oJnQpxwLLEIe2NyEZtdidtFInWhVECVM8PR3ADWJgIY8vVgoK8HhZJBplCiVqpAea0U5WKpOmHi35kIeRjiZonRvn0wyruPRhV5hZIhKrUUP13JQWRqKZo/9DuaG2DJSHc8N9jlvoXQt4tE+PhECs41LXw2FqiChxeGtx48iBpk+OxkKn68kgMlU7Vt7ZS+mDvYpct3azUHQlvPpKsXTAt4XCwa5oaXx3jqVNVrob4enuhvjyf620PcIENKsRhpJWKUiaVolCshUyhhItSHlTEfdqZCBDiYwdZU0GtHzQghmmjKrA26esrszf038GtcPl6f6INXxj1+ZeL4nCo8/dVlGPH1EPfWhFZ3QQHAtrPp+PRUGkwEPBx9dcQDyzQ0yBRYtS8Bx28WA1DtmPro6QEapT3+rrK2EWdTSnE1swJJBTVIL71/auJhrI35cLMygp+9KfzsTRHkYg4fWxONRcCMMdwqFOHIjUIcvl6gsah8qIclFg9zxwR/2/sWDqeXiPHfM+k41pRckcfl4LkhqkWzreWUaZ5a++h4Csolqt/31EAHrJ/q1+X5aJRKhr9ul+DrqEz1iBBfj4vnQ13w8hhP2NACYEKIDqApsx6u+eHZXJT1cQW7mMPZ0gB5lfU4frMIs4JbX5e0bLQnzqWWIS6nCst+uoZflg5tsfSAUF8P258Pxq7L2fj0ZCquZlVi0n+iMDvECctGebaYD8PSiI/Zg5wwe5CqHVK5AsU1DSisbkBFrRR1jQo0yBTQ43Kgr8eFIV8P1sYCWBnx4WBu8MDMw0olQ1JBDU4nl+CPxEKN7fjmhvqYFeSEeUNdWlxMm1EqwdYz6TiaWKheODt1gD3emOirMdr0IDcLavD27zdxLbcagCof0Xsz+rWpZEdHapApcPh6Af53IVO9E4rP4+L5IS5YNtpTayrAE0KItunWEaKoqCh88skniI+PR1FREQ4dOoQZM2YAAGQyGd566y38+eefyMzMhJmZGcLDw/HRRx/BweFu8jo3Nzfk5ORo/NwPP/wQa9euVX+fmJiI5cuXIzY2Fn369ME///lPvPnmm21uZ1ePEO2NycW6g0kY7dMHuyOGdMjPbB7x8bU1wfEVI9s0dVNYXY/p2y6iXNKIwW4W+CEi9KGjS3mVdfjXoSRcSC8HcHdX14wgB4T72XZ4LR3GGHIr63AlswJXMysRlV6uHpkBVLlhxvraYGaQI8b42rS4E+xWYQ2+Pp+Jo4mF6qm0yQF2WBHuDT/71t/rMrEUn55Mxa/xeWAMMOLr4dXx3nhhuHurO886UplYij1Xc/BjdI66YK2JkId5oa6IGO5GI0KEEJ3UY0aIamtrERgYiIiICMyaNUvjtbq6Oly7dg0bNmxAYGAgqqqqsGLFCkyfPh1xcXEa57777rt46aWX1N+bmNxdOCwSiTBx4kSEh4djx44dSEpKQkREBMzNzbF06dLO7WA7NY9gZLQzJ09LFgx1w47zmUgtEeNUcjEm92s9k66DuQF2RwzBc99cQWx2FRbvisHXCwY9cN2Js6UhfnwxFDFZldgWmYGotDL8dVu19V2oz8VgN0sM97LGACcz9LUzhaVR29evyBRKFFbXI61EgrQSMRLzqxGfU60RAAGqtT4jva0xuZ8dwv1sWxxNYozhSmYlvom6o06OCAAT/G2xMtwbAQ7375hrqT0/ROfgv6fT1EkeZwx0wNopfl06CpNcKMKuS1n4PaFQXdzW0dwALwx3w7ODnWknFCGEtJHWrCHicDgaI0QtiY2NxZAhQ5CTkwMXF9XiYDc3N6xcuRIrV65s8ZqvvvoK69evR3FxMfh81QN47dq1OHz4MFJSUtrUtq4eIRI1yBC46RQYA+LeCtcoIPo4PjuVii/OZsDD2ggnV41q87bv+JxKLNoZC4lUDhdLQ3yzcBD62rX+75BWIsah6wU4klCorvF0LwtDfdiaCmFjKoSJgAeBvmrrs1zB0KhQQtQgR01dI0rFUpSIGtDSMiN9PQ4GOpsj1F2VkHGwm+UDR2YaZAocuVGIXZey1Qu6uRxg6gAH/GOUR4upA1pyKaMc7/6RjNQS1bb1/o5meGe6f5tLjTwumUKJEzeL8UN0NmKz7yabDHIxR8Rwd0zpZ9dqvilCCNEFj/L87lEB0V9//YWJEyeiurpa3TE3Nzc0NDRAJpPBxcUFzz//PFatWgUeTzUysHDhQohEIhw+fFj9cyIjIzFu3DhUVlbCwuL+7MJSqRRS6d2RB5FIBGdn5y4LiABgwpbzSC+V4OsFgzqswrhEKseYTyJRLmnEG5N8sXysV5uvvV0kwks/xCG/qh5CfS7WTO6LBUNd2/TgZYwhrUSCSxnluJJZgdvFIuRV3h8gtYbP48Kzj6qQa187EwS7WqC/o1mrU3F5lXX4JTYXP1/NRVXTVnuhPhdPBzvhpZEebVojBAD5VXV4/+htnLilWkBuYaiPNZP7Yk6Ic5fsHqupl2FfbC6+v5SNwqbt4jwuB5P62eHFEe4Idnl4pmxCCNE1PWbK7FE0NDRgzZo1mDt3rkanXn31VQQHB8PS0hKXL1/GunXrUFRUhC1btgAAiouL4e7urvGzbG1t1a+1FBB9+OGH2LRpUyf2pnXDPK2QXirB+bSyDguIjAU8rJvih9d+u4H/nE7DSG9rjfpcD+Nnb4ojr4zAil+u40J6OTb9kYz98fl496l+rZas4HA48LUzga+dCSJGqN6LWqkcuZV1KBVLUSpqQF2jAvUyBRRKBl7TYmpTA32YG6i2QTtaGMDaSNDmwKNWKsfxm8U4EJ+vLrEBqKaT5g91xdwhzm3eci6RyvFlZAa+vZiFRrkSelwOFgx1xcpw7y7Ztp5ZJsGuS9k4cC0fdU35lqyN+Xg+1BXzQl2oZAQhhHSAHjFCJJPJ8PTTTyM/Px/nzp17aJS3c+dO/OMf/4BEIoFAIMDEiRPh7u6Or7/+Wn1OcnIyAgICkJycDD8/v/t+hjaMEEWmluKFXbGwMREget34DqsrxRjD8p+v4c+kYjhbGuD35SMeaS2PUsnwc0wuNp9IUecEGuXTB6+M9cIQ966ZMnoQqVyByxkVOJZUhD+TitTBA4cDDPe0xvyhLgj3s23zdJJSqSrg+vGJFPWOv6EelnhnekCbpgwf1/XcKuw4fwenkkvUO998bI3x4gh3PDXQscMXqRNCSG/Tq0aIZDIZ5syZg5ycHJw9e7bVDoWGhkIulyM7Oxu+vr6ws7NDSUmJxjnN39vZtTzyIhAIIBB0zLqd9hrmaQUzA32UiqWIvlOBEd4ds32bw+Hgg5n9cbNAhNzKOizfcw27I4a0eUcUl8vB/KGumNzPDptPpODAtQJEpZUhKq0M/R3NMCfECdMDHWHWAYVp26JCIsXZlFJEppYiKq0cEundxI1uVoZ4OtgJswY5PXIl+ZisSrx79BZuFqjWGrlaGWL9E36Y4G/bqYn6mhMpfnE2HVcyK9XHx/e1wYsj3RHmYUWJAgkhpBNodUDUHAylp6cjMjISVlYt19W6V0JCArhcLmxsVAVHw8LCsH79eshkMujrqx7Sp0+fhq+vb4vTZdpCwFNl1d0bk4vfEwo6LCACAHNDPr5dFIKZ2y8hOrMCK365js/nBj1SbS1rYwE2zw7EK2O9sSPqDvbH5SOpoAZJBTXY9EcyQj0sMa6vLYZ6WMLX1qRDFvkyxpBfVY+kghrEZVep1yPdO8ZpayrARH87PDXQAYNcLR45eMirrMNHx1NwLEmVmNFEwMPLY1UZqjtzRIYxhosZ5dj6VzrimhIp8rgcPDXQEctGe3RbEVhCCNEV3TplJpFIkJGRAQAICgrCli1bMHbsWFhaWsLe3h6zZ8/GtWvXcPToUfW6HwCwtLQEn89HdHQ0rl69irFjx8LExATR0dFYtWoVpkyZgt27dwMAampq4Ovri4kTJ2LNmjW4efMmIiIi8J///KfN2+67epdZs9jsSjyzIxqGfD3Erg9/YELC9opKK8OS3XFoVCgxOcAO/31uYLsf+pW1jTh0vQC/xeWpi4Y2M9DXg7+DKXxsjeFtYwJHCwPYmgphZcSHAV8Phnw9MAYoGEODTAFRvQzVdTIU1TSgoLoe2eW1SCsRI6NU0mLpjgAHU4z3s8VYX1VttPYscBY3yLAtMgO7LmWjUa4ElwM8O9gFr0/0gVUH7fJ7kNjsSnx0POVuRummRIpLR3lQJXVCCHkMPWaX2blz5zB27Nj7ji9atAjvvPPOfYuhm0VGRmLMmDG4du0aXn75ZaSkpEAqlcLd3R0LFizA6tWrNaa87k3MaG1tjX/+859Ys2ZNm9vZXQERYwzjPzuPzPJavP2kv3pBckc6c7sE//fTNTQqlAhxtcA3C0MeaU1RS7LKa3E2pRTnUkuRkFutztPTEfT1VAu0A53MMdTDCqEelo9VFkOhZDgQn4/NJ1PVOY2Ge1nhran+bUrM+DhyKmrx0fEUddkTyihNCCEdq8cERD1FdwVEALDnag7WH7oJezMhzr0xplOqkl++U45//BgPcYMcThYG2PZ8MAY6m3fIz1YqGe6USZBcJEJGqQQZpRIU1TSgVNSAyrpGNMiUGudzOICpUB+mBjzYmxrAwVwIF0tDeNuawLOPMTxtjDrs3yAqrQzvHU1GelMCTHdrI7w11Q/j+tp06jqdBpkC285m4JuoTDQqmkejnLEy3Id2jBFCSAeigKiDdWdA1CBTYPQnkSgRSbF2Sl8sG+3ZKb8nvUSMF3fHIbeyDjwuB29M8sVLIz06Pb+OUsnQIFeAAw64XECfy+3035mYX41PTqaqS4yYGejjlbFeWDTMrdPLbVxML8f6w0nqOmsjva3x1lR/+NrRGiFCCOloFBB1sO4MiABgf3w+Xv/tBkyEPJx/Y+xjT2k9SE29DOsOJuLPJNUUTpCLOT6c1b9Ltph3hazyWnx2KhVH76lkvzDMDSvCvVssXNuRaqVyvH8sGXtj8gAAdqZCvDPdH5MC7GjXGCGEdBIKiDpYdwdESiXD1C8u4naRCM8NdsZHTw/otN/FGMMvsXl4/2gyahsV4HE5WDTMDa+M9YJFJwVinS2vsg5fnsvAr3H5UCgZOBxg5kBHrAz3gYuVYaf//mu5VVi1LwE5FXXgcICFQ13x+iRfqjNGCCGdjAKiDtbdARFwd8cZAOx9aSjCPFtPQfA4imrqselIsrpMhYmQh2WjPbEgzBWmPeRBXlRTjy/OZuDX2DzImwqhjetrg9cn+sLfofPfR8YYvruYhQ+Pp0ChZHA0N8CnzwR2+ntHCCFEhQKiDqYNAREArD2QiF9i82BnKsTxFSO7ZMTmfFoZPjqeoi6Gaizg4flQFywe5qa1W8JvFtTg2wuZOJpYpA6EhntZYWW4Dwa7dU027bpGOd7Yn4hjTdNz0wId8P6Mfp0+NUcIIeQuCog6mLYERLVSOaZ9cRGZ5bUI97PFNwsGdUlRUaWS4ciNQmyPzFDvyOJygHA/WywIc8UwT+sOKy3SXgolw1+3S/D9pWyN2mWh7pZYPcEHoR5dNypTXNOAF3fH4lahCPp6HGx40h8LhrrSWiFCCOliFBB1MG0JiADV6MesLy+jUaHEm5N98fKYtlesf1xKJcO5tFJ8E5WpUVbC2liAqf3tMKW/PQa7WXZpcJRSLMKB+Hz8caMIxSJVBXg9LgdT+9vjpZEe6O9k1mVtaW7P4p2xKBY1wMqIj68XDEJIF41KEUII0UQBUQfTpoAIAH6+mot/HUoChwN8NS8Yk/vZd3kb0krE+DE6B0duFKKmXqY+bmXEx7i+NhjmZYUwD+sOTzAoUyhxs6AGZ1NKcfxmMTKaRqwAwNxQH3OHuGD+UNdHrl3WEeKyKxHxfSxEDXJ42Rhj1+LBcLbs/EXbhBBCWkYBUQfTtoCIMYa3Dt/Enqu5EPC4+PmlUAxy7Z5RiEa5EpcyynE0sQh/3S7RCI4AwN5MiAAHM/R3NIOvnTG8bU3gZGHQpuSKUrkC+VX1SCsWI7GgBkn5NbiWW6WuYg+oMleP72uLWcGOGO3bp1MSV7ZFVFoZlv4YhwaZEoNcLfDdohCYG/bMXXmEENJbUEDUwbQtIAIAuUKJf/wYjzMppTAR8PDTklAEdlB26faSKZSIyapEVFoZojMrcLOgBsoH/HVZG/NhbSyAsYAHQwEPXA6gZIBUpkBNvQxVdY0oFUvR0l+nmYE+wjysMKmfLcb1te32hcpRaWVY8kMcGuVKjPHtg6/mDYIBv3sCM0IIIXdRQNTBtDEgAlQ7mRbvikVMViVMhaqgaICTeXc3S00ilSO5UITE/GrcLhIjvVSM9BIJ6mWK1i9uYsjXg0cfI/R3NEc/R1MEu1jA19akSxaTt8WFdFWBXKlciQn+ttj+fHCnZ7smhBDSNhQQdTBtDYgAVdCxeGcM4nKqYCzgYdcLg7tsa3l7MMbUlewraqWolcohbqpgz+FwwOdxYW6gDzMDfThaGMDKiK+1u7OuZFZg0c4YCoYIIURLUUDUwbQ5IAJUQdGL38fialYlhPpcfDV/EMb62nR3s3q1a7lVWPDtVdQ2KjCurw12zB9EwRAhhGiZR3l+0x28FzAW8PD9C0MwxrcPGmRKLNkdh19j87q7Wb3WjbxqLPouBrWNCgzztMKX82hkiBBCejq6i/cSBnw9fLMgBLOCHKFQMrx5IBFbTqVC+aBVzaRdbhbUYOHOGIilcgxxt8S3i0Ig1KcF1IQQ0tNRQNSL8HlcfDYnEMvHegIAPj+bgVf2XkN9Y9sXMZMHu5FXjef/dwU19TIEu5hj5+LBMOTzurtZhBBCOgAFRL0Mh8PBG5P6YvPsAdDX4+DPpGLM3nEZBdX13d20Hi0+pwrzv7sKUYMcg1wtsDtiCIwFFAwRQkhvQQFRLzUnxBk/vzQUVkZ83CoUYfoXFxF9p6L1C8l9rmRWYMF3VyFukGOImyV2RwyBiZCKtBJCSG9CAVEvNtjNEr+/Mhz+9qaoqG3E/O+uYtelLNDGwrY7dasYi3bGoK5RgRFe1vg+YjCNDBFCSC9EAVEv52RhiAP/NwwzmxZbb/ojGav2JaCuUd7dTdN6P0ZnY9lP8ZDKlQj3s8G3i0JozRAhhPRSFBDpAAO+HrbMCcSGJ/2hx+XgcEIhZn15GbkVdd3dNK0kUyix8feb2PD7LSgZMHeIC3bMH0S7yQghpBejgEhHcDgcvDjCHT8vCYW1MR8pxWI8+cUF/JVc0t1N0yql4gbM+/YqdkfnAADemOSLD2b2A0+P/qsQQkhvRnd5HRPqYYU//jkCQS7mEDXIseSHOHx2KhUKyleESxnlmPr5RcRkVcJYwMM3CwZh+VgvrS0dQgghpONQQKSD7M0MsG9pGBaFuQIAvjibgYU7r6JMLO3mlnWPBpkC/z6WjHnfqv4NfGyNcXj5MEwMsOvuphFCCOkiVMusDbS9ltnjOHQ9H/86eBP1MgVsTAT4Ym4QQj2surtZXSYmqxLrDibiTlktAGD+UBesf8IfBnxaL0QIIT0dFXftYL05IAKAjFIxlv10DRmlEnA5wPKxXnh1vDf0e/G6mQqJFJ+eSsXeGFXNN2tjAT5+uj/G+9l2c8sIIYR0FAqIOlhvD4gAoFYqx8Yjt7A/Ph8AEORijk+fCYRnH+NublnHapApsOtSNr6MzIBYqko9MHeIM9ZO9oOZISVbJISQ3oQCog6mCwFRsyM3CrH+UBLEDXIIeFysmuCDJSPce/wuq0a5Er/F52Hb2QwU1TQAAAIcTPHO9AAMdrPs5tYRQgjpDBQQdTBdCogAoKC6HmsPJOJCejkAoK+dCd6ZHoChPXBtUV2jHPvj8/G/C5nIq1TVc7M3E+KNSb6YMdARXC7tICOEkN6KAqIOpmsBEQAwxrA/Ph/vH7uNmnoZAGBygB1WTfCBr51JN7eudTkVtdgbk4e9Mbnq9lsbC7B8rCfmDnGhJIuEEKIDKCDqYLoYEDWrrG3EltOp+PlqLppTFU0OsMOyMZ4Y6GzerW37O1GDDCdvFuPQ9QJcvqeQrZuVISJGuOOZQc60e4wQQnTIozy/u3VhSFRUFKZNmwYHBwdwOBwcPnxY43XGGN5++23Y29vDwMAA4eHhSE9P1zinsrIS8+bNg6mpKczNzfHiiy9CIpFonJOYmIiRI0dCKBTC2dkZmzdv7uyu9RqWRny8P6M/jq8Yhan97cHhACduFWPG9kt4attF/BaXB1GDrNvaV1XbiAPx+Vj2YzwGv/8X3tifiMt3KsDhAKN9+uDrBYNw5rUxWBjmRsEQIYSQB+rWSpW1tbUIDAxEREQEZs2add/rmzdvxueff47du3fD3d0dGzZswKRJk5CcnAyhUAgAmDdvHoqKinD69GnIZDK88MILWLp0KX7++WcAquhw4sSJCA8Px44dO5CUlISIiAiYm5tj6dKlXdrfnszXzgTb5wUjrUSMHefu4GhiEW7k1+DG/kSsP3QTI72tMd7PFqN8rOFkYdhp7aiua0R8ThWuZFbgSmYlbhXW4N4k2142xpge6ICZQY5wtuy8dhBCCOldtGbKjMPh4NChQ5gxYwYA1eiQg4MDXnvtNbz++usAgJqaGtja2uL777/Hc889h9u3b8Pf3x+xsbEICQkBAJw4cQJPPPEE8vPz4eDggK+++grr169HcXEx+Hw+AGDt2rU4fPgwUlJS2tQ2XZ4ye5ByiRT7YvNw6HoBMko1R+RcrQwR6GSOAU5m8LE1gbu1EezNhG3eqcYYg0QqR35VPXIr63CnTIKUIjFuFdaoEyjeq6+dCSb622JigB0CHEyp1AYhhBAAj/b87tYRoofJyspCcXExwsPD1cfMzMwQGhqK6OhoPPfcc4iOjoa5ubk6GAKA8PBwcLlcXL16FTNnzkR0dDRGjRqlDoYAYNKkSfj4449RVVUFCwuL+363VCqFVHq3jIVIJOqkXvZcqgXKXlg+1gtpJWKcuFmMqLQyXM+rRk5FHXIq6nDkRqH6fC5HNf1mbSyAkYAHQ74e9PW4UDIGxoD6RgVqG+WoqZehXCJFg0z5wN/t0ccIg10tEeZphaEeVrAzE3ZFlwkhhPRiWhsQFRcXAwBsbTUzB9va2qpfKy4uho2NjcbrPB4PlpaWGue4u7vf9zOaX2spIPrwww+xadOmjumIDvCxNYGPrQleHe8NUYMM13OrkZhXjaSCGmSV1yKnsg6NciXKJY0olzS2+edaGOrDxdIQbtZG6Gtnir52Jgh0NoelEb/1iwkhhJBHoLUBUXdat24dVq9erf5eJBLB2dm5G1vUc5gK9THapw9G+/RRH1MoGSokUpRLGlFRK0WtVI56mQIyOQM4AJfDgYG+HgwFejAV8mBtLFCPJBFCCCFdQWufOHZ2qkrjJSUlsLe3Vx8vKSnBwIED1eeUlpZqXCeXy1FZWam+3s7ODiUlJRrnNH/ffM7fCQQCCASCDukHAfS4HNiYCmFjSlNbhBBCtJPW1mNwd3eHnZ0dzpw5oz4mEolw9epVhIWFAQDCwsJQXV2N+Ph49Tlnz56FUqlEaGio+pyoqCjIZHe3hp8+fRq+vr4tTpcRQgghRPd0a0AkkUiQkJCAhIQEAKqF1AkJCcjNzQWHw8HKlSvx/vvv48iRI0hKSsLChQvh4OCg3onm5+eHyZMn46WXXkJMTAwuXbqEV155Bc899xwcHBwAAM8//zz4fD5efPFF3Lp1C/v27cPWrVs1psQIIYQQouNYN4qMjGQA7vtatGgRY4wxpVLJNmzYwGxtbZlAIGDjx49nqampGj+joqKCzZ07lxkbGzNTU1P2wgsvMLFYrHHOjRs32IgRI5hAIGCOjo7so48+eqR21tTUMACspqbmsfpLCCGEkK7zKM9vrclDpM0oDxEhhBDS8/SY0h2EEEIIIdqAAiJCCCGE6DwKiAghhBCi8yggIoQQQojOo4CIEEIIITqPAiJCCCGE6DwKiAghhBCi8yggIoQQQojOo4CIEEIIITqPAiJCCCGE6DwKiAghhBCi8yggIoQQQojOo4CIEEIIITqPAiJCCCGE6DwKiAghhBCi83jd3YCegDEGABCJRN3cEkIIIYS0VfNzu/k5/jAUELWBWCwGADg7O3dzSwghhBDyqMRiMczMzB56Doe1JWzScUqlEoWFhTAxMQGHw+m2dohEIjg7OyMvLw+mpqbd1o6uoEt9BXSrv9TX3kuX+kt97RkYYxCLxXBwcACX+/BVQjRC1AZcLhdOTk7d3Qw1U1PTHvdH2V661FdAt/pLfe29dKm/1Fft19rIUDNaVE0IIYQQnUcBESGEEEJ0HgVEPYhAIMDGjRshEAi6uymdTpf6CuhWf6mvvZcu9Zf62vvQompCCCGE6DwaISKEEEKIzqOAiBBCCCE6jwIiQgghhOg8CogIIYQQovMoINISbm5u4HA4930tX778gdf897//ha+vLwwMDODs7IxVq1ahoaGhC1vdPgqFAhs2bIC7uzsMDAzg6emJ9957r9VaM+fOnUNwcDAEAgG8vLzw/fffd02DH1N7+nvw4EFMmDABffr0gampKcLCwnDy5MkubHX7tPe9bXbp0iXweDwMHDiwcxvaAdrbV6lUivXr18PV1RUCgQBubm7YuXNnF7W6/drb3z179iAwMBCGhoawt7dHREQEKioquqjV7ScWi7Fy5Uq4urrCwMAAw4YNQ2xs7EOv6an3qEfta0+9P7WKEa1QWlrKioqK1F+nT59mAFhkZGSL5+/Zs4cJBAK2Z88elpWVxU6ePMns7e3ZqlWrurbh7fDvf/+bWVlZsaNHj7KsrCz222+/MWNjY7Z169YHXpOZmckMDQ3Z6tWrWXJyMvviiy+Ynp4eO3HiRBe2vH3a098VK1awjz/+mMXExLC0tDS2bt06pq+vz65du9aFLX907elrs6qqKubh4cEmTpzIAgMDO7+xj6m9fZ0+fToLDQ1lp0+fZllZWezy5cvs4sWLXdTq9mtPfy9evMi4XC7bunUry8zMZBcuXGABAQFs5syZXdjy9pkzZw7z9/dn58+fZ+np6Wzjxo3M1NSU5efnt3h+T75HPWpfe+r9qTUUEGmpFStWME9PT6ZUKlt8ffny5WzcuHEax1avXs2GDx/eFc17LFOnTmUREREax2bNmsXmzZv3wGvefPNNFhAQoHHs2WefZZMmTeqUNnak9vS3Jf7+/mzTpk0d2bQO9zh9ffbZZ9lbb73FNm7c2CMCovb09fjx48zMzIxVVFR0dvM6XHv6+8knnzAPDw+NY59//jlzdHTslDZ2lLq6Oqanp8eOHj2qcTw4OJitX7++xWt66j2qPX1tSU+4P7WGpsy0UGNjI3766SdEREQ8sJjssGHDEB8fj5iYGABAZmYm/vzzTzzxxBNd2dR2GTZsGM6cOYO0tDQAwI0bN3Dx4kVMmTLlgddER0cjPDxc49ikSZMQHR3dqW3tCO3p798plUqIxWJYWlp2VjM7RHv7umvXLmRmZmLjxo1d0cwO0Z6+HjlyBCEhIdi8eTMcHR3h4+OD119/HfX19V3V7HZrT3/DwsKQl5eHP//8E4wxlJSUYP/+/Vp/n5LL5VAoFBAKhRrHDQwMcPHixRav6an3qPb09e96yv2pVd0dkZH77du3j+np6bGCgoKHnrd161amr6/PeDweA8CWLVvWRS18PAqFgq1Zs4ZxOBzG4/EYh8NhH3zwwUOv8fb2vu+cY8eOMQCsrq6uM5v72NrT37/7+OOPmYWFBSspKemkVnaM9vQ1LS2N2djYsNTUVMYY6zEjRO3p66RJk5hAIGBTp05lV69eZceOHWOurq5s8eLFXdTq9mvv3/Gvv/7KjI2N1fepadOmscbGxi5o8eMJCwtjo0ePZgUFBUwul7Mff/yRcblc5uPj0+L5Pfke9ah9/buecn9qDQVEWmjixInsySeffOg5kZGRzNbWlv3vf/9jiYmJ7ODBg8zZ2Zm9++67XdTK9tu7dy9zcnJie/fuZYmJieyHH35glpaW7Pvvv3/gNT35ZtOe/t5rz549zNDQkJ0+fbqTW/r4HrWvcrmchYSEsK+++kp9rKcERO15XydMmMCEQiGrrq5WHztw4ADjcDi98u/41q1bzN7enm3evJnduHGDnThxgvXv3/++qTdtlJGRwUaNGsUAMD09PTZ48GA2b9481rdv3xbP78n3qEft67160v2pNRQQaZns7GzG5XLZ4cOHH3reiBEj2Ouvv65x7Mcff2QGBgZMoVB0ZhMfm5OTE9u2bZvGsffee4/5+vo+8JqRI0eyFStWaBzbuXMnMzU17Ywmdqj29LfZ3r17mYGBwX3z+9rqUftaVVWlvgk3f3E4HPWxM2fOdEWz26U97+vChQuZp6enxrHk5GQGgKWlpXVKOztKe/o7f/58Nnv2bI1jFy5cYABYYWFhp7Szo0kkEnVb58yZw5544okWz+vJ96hmbe1rs552f2oNrSHSMrt27YKNjQ2mTp360PPq6urA5Wq+fXp6egDQ5i3O3eVBbVcqlQ+8JiwsDGfOnNE4dvr0aYSFhXVKGztSe/oLAHv37sULL7yAvXv3tvr3oC0eta+mpqZISkpCQkKC+mvZsmXw9fVFQkICQkNDu6LZ7dKe93X48OEoLCyERCJRH0tLSwOXy4WTk1OntbUjtKe/Pfk+1czIyAj29vaoqqrCyZMn8dRTT7V4Xk++RzVra1+Bnnl/alV3R2TkLoVCwVxcXNiaNWvue23BggVs7dq16u83btzITExM2N69e1lmZiY7deoU8/T0ZHPmzOnKJrfLokWLmKOjo3r77sGDB5m1tTV788031eesXbuWLViwQP1985bWN954g92+fZtt3769x2xpbU9/9+zZw3g8Htu+fbtGOoZ7p1q0UXv6+nc9ZcqsPX0Vi8XMycmJzZ49m926dYudP3+eeXt7syVLlnRHFx5Je/q7a9cuxuPx2Jdffsnu3LnDLl68yEJCQtiQIUO6owuP5MSJE+z48ePq+2tgYCALDQ1Vr3/qTfeoR+1rT70/tYYCIi1y8uRJBkC9uPReo0ePZosWLVJ/L5PJ2DvvvMM8PT2ZUChkzs7O7OWXX2ZVVVVd1+B2EolEbMWKFczFxYUJhULm4eHB1q9fz6RSqfqcRYsWsdGjR2tcFxkZyQYOHMj4fD7z8PBgu3bt6tqGt1N7+jt69GgG4L6ve/8GtFF739t79ZSAqL19vX37NgsPD2cGBgbMycmJrV69WuvXmDDW/v5+/vnnzN/fnxkYGDB7e3s2b968B+a30Sb79u1jHh4ejM/nMzs7O7Z8+XKNB35vukc9al976v2pNRzGesi4JSGEEEJIJ6E1RIQQQgjReRQQEUIIIUTnUUBECCGEEJ1HAREhhBBCdB4FRIQQQgjReRQQEUIIIUTnUUBECCGEEJ1HAREhhBBCdB4FRIQQQgjReRQQEUJ6pcWLF2PGjBkax/bv3w+hUIjPPvvsoddGRUVh2rRpcHBwAIfDweHDhzuvoYQQrUABESFEJ3z77beYN28evvrqK7z22msPPbe2thaBgYHYvn17F7WOENLdeN3dAEII6WybN2/Gxo0b8csvv2DmzJmtnj9lyhRMmTKlC1pGCNEWFBARQnq1NWvW4Msvv8TRo0cxfvz47m4OIURLUUBECOm1jh8/jt9//x1nzpzBuHHjurs5hBAtRmuICCG91oABA+Dm5oaNGzdCIpF0d3MIIVqMAiJCSK/l6OiIc+fOoaCgAJMnT4ZYLO7uJhFCtBQFRISQXs3V1RXnz59HcXExBUWEkAeigIgQ0us5Ozvj3LlzKC0txaRJkyASiR56vkQiQUJCAhISEgAAWVlZSEhIQG5ubhe0lhDSHSggIoToBCcnJ5w7dw7l5eWtBkVxcXEICgpCUFAQAGD16tUICgrC22+/3VXNJYR0MQ5jjHV3IwghhBBCuhONEBFCCCFE51FARAjRKbm5uTA2Nn7gF60TIkQ30ZQZIUSnyOVyZGdnP/B1Nzc38HiUs5YQXUMBESGEEEJ0Hk2ZEUIIIUTnUUBECCGEEJ1HAREhhBBCdB4FRIQQQgjReRQQEUIIIUTnUUBECCGEEJ1HAREhhBBCdN7/A1DwQZoZpDNAAAAAAElFTkSuQmCC", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sb.kdeplot(data=nb, x=\"K_1\", y=\"S1_2\")" ] }, { "cell_type": "code", "execution_count": 38, "id": "c57fc4a4", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# nb.drop(\"K_2\", axis=1, inplace=True)\n", "with sb.axes_style(\"darkgrid\"):\n", " g = sb.PairGrid(pd.DataFrame(nb), diag_sharey=False, vars=[\"K_1\", \"S1_1\", \"S1_2\"])\n", " g.map_upper(plt.hexbin, bins=\"log\", gridsize=20, cmap=\"Blues\", mincnt=2)\n", " g.map_lower(sb.kdeplot, cmap=\"viridis_r\", fill=True)\n", " g.map_diag(sb.histplot, kde=True)" ] }, { "cell_type": "code", "execution_count": 39, "id": "65847cc4", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 39, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sb.violinplot(data=nb, x=\"K_1\", split=True)" ] }, { "cell_type": "code", "execution_count": 40, "id": "045ef879", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 40, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "g = sb.jointplot(\n", " y=\"S1_2\",\n", " x=\"K_1\",\n", " data=nb,\n", " marker=\"+\",\n", " s=25,\n", " marginal_kws=dict(bins=25, fill=False, kde=True),\n", " color=\"#2075AA\",\n", " marginal_ticks=True,\n", " height=5,\n", " ratio=2,\n", ")\n", "g.plot_joint(sb.kdeplot, color=\"r\", zorder=0, levels=5)" ] }, { "cell_type": "code", "execution_count": 41, "id": "b1a6b09c", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 41, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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sImwBAABYRNgCAACwiLAFAABgEWELAADAIsIWAACARYQtAAAAiwhbAAAAFhG2AAAALCJsAQAAWETYAgAAsIiwBQAAYBFhCwAAwCLCFgAAgEWELQAAAIsIWwAAABYRtgAAACwibAEAAFhE2AIAALCIsAUAAGARYQsAAMAiwhYAAIBFhC0AAACLCFsAAAAWEbYAAAAsImwBAABYRNgCAACwiLAFAABgEWELAADAIsIWAACARYQtAAAAi8IatvLz8zV8+HDFxcUpKSlJN954o/bs2ePX5uqrr5bjOH6PO++8069NRUWFJkyYoG7duikpKUn333+/Tp486demuLhYw4YNk8vl0sCBA7VixQrb3QMAAAhv2NqyZYtycnL01ltvqaioSCdOnND48eN19OhRv3Z33HGHDh486HssWrTIN6++vl4TJkzQ8ePHVVJSoueee04rVqzQgw8+6Guzb98+TZgwQWPHjlV5eblmz56t22+/XRs2bGizvgIAgM7JMcaYcBdxyj/+8Q8lJSVpy5YtGjNmjKSvj2xddtll+t///d8ml1m3bp3+67/+SwcOHFBycrIk6be//a3mzp2rf/zjH4qJidHcuXP1+uuva9euXb7lbrnlFn355Zdav379WevyeDxKSEhQTU2N4uPjW99RAAAiFPu80Iuoa7ZqamokST169PCbXlBQoMTERF188cWaN2+evvrqK9+80tJSXXLJJb6gJUkZGRnyeDzavXu3r824ceP81pmRkaHS0lJbXQEAAJAkdQl3Aac0NDRo9uzZuvLKK3XxxRf7pmdlZalfv37q3bu3du7cqblz52rPnj16+eWXJUlVVVV+QUuS73lVVdUZ23g8Hh07dkyxsbF+8+rq6lRXV+d77vF4QtdRAAAiCPs8+yImbOXk5GjXrl3avn273/QZM2b4/n3JJZeoV69euuaaa/Txxx/rwgsvtFJLfn6+Fi5caGXdAABEEvZ59kXEacSZM2dq7dq12rx5s1JTU8/YduTIkZKkvXv3SpJSUlJUXV3t1+bU85SUlDO2iY+Pb3RUS5LmzZunmpoa32P//v3BdQwAgAjHPs++sIYtY4xmzpypNWvWaNOmTerfv/9ZlykvL5ck9erVS5KUnp6u999/X59//rmvTVFRkeLj4zV48GBfm40bN/qtp6ioSOnp6U1uw+VyKT4+3u8BAEBHxD7PvrCGrZycHK1cuVKFhYWKi4tTVVWVqqqqdOzYMUnSxx9/rEceeUQ7duzQp59+qj/96U+69dZbNWbMGF166aWSpPHjx2vw4MGaMmWK3nvvPW3YsEE///nPlZOTI5fLJUm688479cknn2jOnDn661//qqeeekovvviicnNzw9Z3AADQOYT11g+O4zQ5ffny5Zo6dar279+vyZMna9euXTp69Kj69u2riRMn6uc//7lf8v7ss8901113qbi4WOecc45uu+02PfbYY+rS5V+XpBUXFys3N1cffPCBUlNTNX/+fE2dOrVFdfIzWABAZ8E+L/Qi6j5bkYoPHgCgs2CfF3oRcYE8AABAR0XYAgAAsIiwBQAAYFHE3NQUAEJh2baaFrWbNjrBciUA8DWObAEAAFhE2AIAALCIsAUAAGARYQsAAES0kpISTZo0SSUlJeEuJSiELQAAELG8Xq+WLFmi6upqLVmyRF6vN9wlBYywBQAAIlZBQYEOHTokSTp06JAKCwvDXFHgCFsAACAiVVZWqrCwUKdGFjTGqLCwUJWVlWGuLDCELQAAEHGMMVq6dGmz09vT0M6ELQAAEHEqKipUVlam+vp6v+n19fUqKytTRUVFmCoLHGELAABEnLS0NA0fPlzR0dF+06OjozVixAilpaWFqbLAEbYAAEDEcRxHs2bNana64zhhqCo4hC0AABCRUlNTlZWV5QtWjuMoKytLffr0CXNlgSFsAQCAiJWdna2ePXtKkhITE5WVlRXmigLXJdwFAEAoTRudEO4SAISQ2+1WXl6eli5dqlmzZsntdoe7pIARtgAAQEQbNWqURo0aFe4ygsZpRAAAAIsIWwAAABYRtgAAACwibAEAAFhE2AIAALCIsAUAAGARYQsAAMAiwhYAAIBFhC0AAACLCFsAAAAWEbYAAAAsImwBAABYRNgCAACwiLAFAABgEWELAADAIsIWAACARYQtAAAAiwhbAAAAFhG2AAAALCJsAQAAWETYAgAAsIiwBQAAYBFhCwAAwCLCFgAAgEVdwl0AAESqZdtqWtRu2ugEy5UAaM84sgUAAGARYQsAAMAiwhYAAIBFhC0AAACLwhq28vPzNXz4cMXFxSkpKUk33nij9uzZ45v/z3/+U/fcc48GDRqk2NhYpaWl6d5771VNjf9Fq47jNHqsXr3ar01xcbGGDRsml8ulgQMHasWKFW3RRQAA0EolJSWaNGmSSkpKwl1KUMIatrZs2aKcnBy99dZbKioq0okTJzR+/HgdPXpUknTgwAEdOHBAv/zlL7Vr1y6tWLFC69ev1/Tp0xuta/ny5Tp48KDvceONN/rm7du3TxMmTNDYsWNVXl6u2bNn6/bbb9eGDRvaqqsAACAIXq9XS5YsUXV1tZYsWSKv1xvukgLmGGNMuIs45R//+IeSkpK0ZcsWjRkzpsk2L730kiZPnqyjR4+qS5ev71zhOI7WrFnjF7BON3fuXL3++uvatWuXb9ott9yiL7/8UuvXrz9rXR6PRwkJCaqpqVF8fHzgHQPQLnHrB3RGkbbPe/bZZ7Vy5UoZY+Q4jqZMmaJp06aFu6yARNQ1W6dOD/bo0eOMbeLj431B65ScnBwlJiZqxIgRWrZsmU7PkKWlpRo3bpxf+4yMDJWWloawegAAEEqVlZUqLCz07dONMSosLFRlZWWYKwtMxNzUtKGhQbNnz9aVV16piy++uMk2X3zxhR555BHNmDHDb/rDDz+s73znO+rWrZvefPNN3X333Tpy5IjuvfdeSVJVVZWSk5P9lklOTpbH49GxY8cUGxvrN6+urk51dXW+5x6PJxRdBAAg4kTqPs8Yo6VLlzY7fdGiRXIcJwyVBS5iwlZOTo527dql7du3Nznf4/FowoQJGjx4sB566CG/efPnz/f9e+jQoTp69KgWL17sC1uBys/P18KFC4NaFgCA9iRS93kVFRUqKytrNL2+vl5lZWWqqKhQv379wlBZ4CLiNOLMmTO1du1abd68WampqY3m19bW6tprr1VcXJzWrFmjrl27nnF9I0eOVGVlpS+pp6SkqLq62q9NdXW14uPjGx3VkqR58+appqbG99i/f38regcAQOSK1H1eWlqahg8frujoaL/p0dHRGjFihNLS0sJUWeDCGraMMZo5c6bWrFmjTZs2qX///o3aeDwejR8/XjExMfrTn/4kt9t91vWWl5frvPPOk8vlkiSlp6dr48aNfm2KioqUnp7e5PIul0vx8fF+DwAAOqJI3ec5jqNZs2Y1O729nEKUwnwaMScnR4WFhXr11VcVFxenqqoqSVJCQoJiY2N9Qeurr77SypUr5fF4fOeSzz//fEVHR+u1115TdXW1/uM//kNut1tFRUV69NFH9ZOf/MS3nTvvvFO/+c1vNGfOHE2bNk2bNm3Siy++qNdffz0s/QbQPvArQyC8UlNTlZWV5fdrxKysLPXp0yfcpQUkrLd+aC6VLl++XFOnTlVxcbHGjh3bZJt9+/bpggsu0Pr16zVv3jzt3btXxhgNHDhQd911l+644w5FRf3rwF1xcbFyc3P1wQcfKDU1VfPnz9fUqVNbVGek/QwWAABbIm2f5/V6NXnyZH3xxRc6//zz9Yc//KFFZ7kiSUTdZytSRdoHDwAAWyJxn1dSUqKlS5dq1qxZGjVqVLjLCVjE/BoRAACgKaNGjWqXIeuUiPg1IgAAQEdF2AIAALCIsAUAAGARYQsAAMAiwhYAAIBFhC0AAACLCFsAAAAWEbYAAAAsImwBAABYRNgCAACwiLAFAABgEWELAADAIsIWAACARYQtAAAAiwhbAAAAFhG2AAAALCJsAQAAWETYAgAAsIiwBQAAYBFhCwAAwCLCFgAAgEWELQAAAIsIWwAAABYRtgAAACwibAEAAFhE2AIAALCIsAUAAGARYQsAAMAiwhYAAIBFhC0AAACLCFsAAAAWEbYAAAAsImwBAABYRNgCAACwiLAFAABgEWELAADAIsIWAACARYQtAAAAiwhbAAAAFhG2AAAALCJsAQAAWETYAgAAsIiwBQAAYBFhCwAAwCLCFgAAgEWELQAAAIsIWwAAABYRtgAAACwKa9jKz8/X8OHDFRcXp6SkJN14443as2ePXxuv16ucnBz17NlT3bt31/e//31VV1f7tamoqNCECRPUrVs3JSUl6f7779fJkyf92hQXF2vYsGFyuVwaOHCgVqxYYbt7AAAAgYWtEydOaM6cORo4cKBGjBihZcuW+c2vrq5WdHR0i9e3ZcsW5eTk6K233lJRUZFOnDih8ePH6+jRo742ubm5eu211/TSSy9py5YtOnDggG666Sbf/Pr6ek2YMEHHjx9XSUmJnnvuOa1YsUIPPvigr82+ffs0YcIEjR07VuXl5Zo9e7Zuv/12bdiwIZDuAwAABM4EYMGCBSY5OdksXrzYPPDAAyYhIcHMmDHDN7+qqso4jhPIKv18/vnnRpLZsmWLMcaYL7/80nTt2tW89NJLvjYffvihkWRKS0uNMca88cYbJioqylRVVfnaPP300yY+Pt7U1dUZY4yZM2eOueiii/y2NWnSJJORkdGiumpqaowkU1NTE3TfAABoD9jnhV5AR7YKCgr0zDPP6Cc/+Yn++7//W++88442bdqkH/3oRzLGSJIcxwk6+NXU1EiSevToIUnasWOHTpw4oXHjxvnafOtb31JaWppKS0slSaWlpbrkkkuUnJzsa5ORkSGPx6Pdu3f72py+jlNtTq3j39XV1cnj8fg9AADoiNjn2RdQ2Pr73/+uiy++2Pd84MCBKi4uVklJiaZMmaL6+vqgC2loaNDs2bN15ZVX+rZRVVWlmJgYnXvuuX5tk5OTVVVV5WtzetA6Nf/UvDO18Xg8OnbsWKNa8vPzlZCQ4Hv07ds36H4BABDJ2OfZF1DYSklJ0ccff+w3rU+fPtq8ebPKyso0derUoAvJycnRrl27tHr16qDXESrz5s1TTU2N77F///5wlwQAgBXs8+wLKGx95zvfUWFhYaPpvXv31qZNm7Rv376gipg5c6bWrl2rzZs3KzU11Tc9JSVFx48f15dffunXvrq6WikpKb42//7rxFPPz9YmPj5esbGxjepxuVyKj4/3ewAA0BGxz7MvoLA1f/583XzzzU3O69Onj7Zs2dLoF4pnYozRzJkztWbNGm3atEn9+/f3m3/55Zera9eu2rhxo2/anj17VFFRofT0dElSenq63n//fX3++ee+NkVFRYqPj9fgwYN9bU5fx6k2p9YBAABgi2NOXdluwYQJE/TMM8+oV69eTc6/++67VVhYqFdffVWDBg3yTU9ISPAdcbrrrrv0xhtvaMWKFYqPj9c999wjSSopKZH09a0fLrvsMvXu3VuLFi1SVVWVpkyZottvv12PPvqopK9v/XDxxRcrJydH06ZN06ZNm3Tvvffq9ddfV0ZGxln74fF4lJCQoJqaGhI/AKBDY58XelbDVlxcnN577z0NGDCg6Y0388vF5cuX+67/8nq9uu+++7Rq1SrV1dUpIyNDTz31lO8UoSR99tlnuuuuu1RcXKxzzjlHt912mx577DF16dLF16a4uFi5ubn64IMPlJqaqvnz57f4GjM+eACAzoJ9XuiFNWy1F3zwAACdBfu80GNsRAAAAIsIWwAAABYRtgAAACwibAEAAFhkNWz97Gc/841zCAAA0BmFNGwdPnxYzz//vO/5vHnzGo1rCAAA0JmENGxVVFToRz/6UShXCQAA0K51OXuTf/F4PGecX1tb26piAAAAOpqAwta5557b7F3fpa/HOjzTfAAAgM4moLAVFxenBx54QCNHjmxy/t/+9jf9+Mc/DklhAAAAHUFAYWvYsGGSpKuuuqrJ+eeee64sjv4DAADQ7gR0gXxWVpZcLlez81NSUrRgwYJWFwUAANBRWB2IuqNgUE4AQGfBPi/0AjqyVVpaqrVr1/pNe/7559W/f38lJSVpxowZqqurC2mBAAAA7VlAYevhhx/W7t27fc/ff/99TZ8+XePGjdNPf/pTvfbaa8rPzw95kQAAAO1VQGGrvLxc11xzje/56tWrNXLkSP3+979XXl6efv3rX+vFF18MeZEAAADtVUBh6/Dhw0pOTvY937JlizIzM33Phw8frv3794euOgAAgHYuoFs/JCcna9++ferbt6+OHz+ud999VwsXLvTNr62tVdeuXUNeJBCoZdtqWtRu2uiEdr1NAEDkC+jI1nXXXaef/vSn2rZtm+bNm6du3bpp9OjRvvk7d+7UhRdeGPIiAQBA51VSUqJJkyappKQk3KUEJaCw9cgjj6hLly666qqr9Pvf/16///3vFRMT45u/bNkyjR8/PuRFAgCAzsnr9WrJkiWqrq7WkiVL5PV6w11SwAI6jZiYmKitW7eqpqZG3bt3V3R0tN/8l156Sd27dw9pgQAAoPMqKCjQoUOHJEmHDh1SYWGhpk2bFuaqAhPQka1TEhISGgUtSerRo4ffkS4AAIBgVVZWqrCw0DcUoDFGhYWFqqysDHNlgQkqbAEAANhkjNHSpUubnd6eBsAhbAEAgIhTUVGhsrIy1dfX+02vr69XWVmZKioqwlRZ4AhbAAAg4qSlpWn48OFyHMdvuuM4GjFihNLS0sJUWeAIWwAAIOI4jqNJkyY1Ol1ojNGkSZMahbBIRtgCAAARxxijF154ockjW6tXr+aaLQAAgNY4dc1WU0e2uGYLAACglU5ds/Xvt5qKjo7mmi0AAIDWchxHs2bNanZ6e7pmK6A7yAOna+nAyy8cdJ21zaRedS1aV0sHcQ7HYM8MMA0AoZWamqqsrCytXLlSxhg5jqOsrCz16dMn3KUFhCNbAAAgYmVnZ6tnz56Svh42MCsrK8wVBY6wBQAAIpbb7VZeXp6Sk5OVm5srt9sd7pICxmlEAAAQ0UaNGqVRo0aFu4ygEbYAAIBVxhh5vd6gl62r+/q6XpfLFfSF8W63O2wX1RO2AACAVV6vV5mZmWGtYd26dYqNjQ3LtrlmCwAAwCKObAEAAKvcbrfWrVsX1LJer1cTJ06UJK1ZsyboC+TDeWE9YQsAAFjlOE5ITuG53e6wnQpsDU4jAgAAWETYAgAAsIiwBQAAYBFhCwAAwCIukEfQWjzwcgsGrG7pulo6+HUo18cA051XqD9vADonjmwBAABYRNgCAACwiLAFAABgEWELAADAorCGra1bt+r6669X79695TiOXnnlFb/5juM0+Vi8eLGvzQUXXNBo/mOPPea3np07d2r06NFyu93q27evFi1a1BbdAwAACG/YOnr0qIYMGaInn3yyyfkHDx70eyxbtkyO4+j73/++X7uHH37Yr90999zjm+fxeDR+/Hj169dPO3bs0OLFi/XQQw/pd7/7ndW+AQAASGG+9UNmZqYyMzObnZ+SkuL3/NVXX9XYsWM1YMAAv+lxcXGN2p5SUFCg48ePa9myZYqJidFFF12k8vJyLVmyRDNmzGh9JwAAAM6g3VyzVV1drddff13Tp09vNO+xxx5Tz549NXToUC1evFgnT570zSstLdWYMWMUExPjm5aRkaE9e/bo8OHDTW6rrq5OHo/H7wEAQEfEPs++dhO2nnvuOcXFxemmm27ym37vvfdq9erV2rx5s3784x/r0Ucf1Zw5c3zzq6qqlJyc7LfMqedVVVVNbis/P18JCQm+R9++fUPcGwAAIgP7PPvaTdhatmyZsrOz5Xa7/abn5eXp6quv1qWXXqo777xTjz/+uJ544gnV1dUFva158+appqbG99i/f39rywcAICKxz7OvXQzXs23bNu3Zs0cvvPDCWduOHDlSJ0+e1KeffqpBgwYpJSVF1dXVfm1OPW/uOi+XyyWXy9X6wgEAiHDs8+xrF0e2nn32WV1++eUaMmTIWduWl5crKipKSUlJkqT09HRt3bpVJ06c8LUpKirSoEGDdN5551mrGQAAQArzka0jR45o7969vuf79u1TeXm5evToobS0NElf37rhpZde0uOPP95o+dLSUr399tsaO3as4uLiVFpaqtzcXE2ePNkXpLKysrRw4UJNnz5dc+fO1a5du7R06VL96le/aptOokUe31jbonb3XRPaAX87ywDCDKgcHF4PhAp/g51bWMPWO++8o7Fjx/qe5+XlSZJuu+02rVixQpK0evVqGWP0wx/+sNHyLpdLq1ev1kMPPaS6ujr1799fubm5vvVIUkJCgt58803l5OTo8ssvV2Jioh588EFu+wAAANpEWMPW1VdfLWPMGdvMmDGj2WA0bNgwvfXWW2fdzqWXXqpt27YFVSMAAEBrtItrtgAAANorwhYAAIBFhC0AAACLCFsAAAAWEbYAAAAsImwBAABYRNgCAACwiLAFAABgEWELAADAIsIWAACARYQtAAAAi8I6NiLat5aOYv/CQddZ21zevT6k2zx8vGX/j7jvmrgWtWvvpo1OCHcJQKfG32DnxpEtAAAAiwhbAAAAFhG2AAAALCJsAQAAWETYAgAAsIiwBQAAYBFhCwAAwCLCFgAAgEWELQAAAIsIWwAAABYRtgAAACwibAEAAFjEQNQI2uM7/9midjHxiWdv1D20ub+zDDDd0oG5GQQXAMKHI1sAAAAWEbYAAAAsImwBAABYRNgCAACwiLAFAABgEWELAADAIsIWAACARYQtAAAAiwhbAAAAFnEHeQAAcFbGGHm93jbf7unbDMf2JcntdstxnKCXJ2wBAICz8nq9yszMDGsNEydODMt2161bp9jY2KCX5zQiAACARRzZ6kRaOmhxSzmubi1qN7n32ducF3OyldX46ywDNLf3+oHOoqN9Jx257IcyUW0UIYyRGv7/PiKqi9SK03mBcBpOqnv5qpCsi7AFAAACYqK6SNFd23CLMW24ra+ZEK6L04gAAAAWEbYAAAAsImwBAABYRNgCAACwiLAFAABgEWELAADAIsIWAACARYQtAAAAiwhbAAAAFoU1bG3dulXXX3+9evfuLcdx9Morr/jNnzp1qhzH8Xtce+21fm3++c9/Kjs7W/Hx8Tr33HM1ffp0HTlyxK/Nzp07NXr0aLndbvXt21eLFi2y3TUAAABJYQ5bR48e1ZAhQ/Tkk0822+baa6/VwYMHfY9Vq/zHKcrOztbu3btVVFSktWvXauvWrZoxY4Zvvsfj0fjx49WvXz/t2LFDixcv1kMPPaTf/e531voFAABwSljHRszMzFRmZuYZ27hcLqWkpDQ578MPP9T69etVVlamK664QpL0xBNP6LrrrtMvf/lL9e7dWwUFBTp+/LiWLVummJgYXXTRRSovL9eSJUv8Qll71tIBTvfWtuztXneooUXt4nZvaFG7DxJ/0IJW0S1a1+C4+ha1u++auBa1Q3A62qC6zeks/ewoIvn94jPSuUX8NVvFxcVKSkrSoEGDdNddd+nQoUO+eaWlpTr33HN9QUuSxo0bp6ioKL399tu+NmPGjFFMzL8GsczIyNCePXt0+PDhtusIAADolMJ6ZOtsrr32Wt10003q37+/Pv74Y/3sZz9TZmamSktLFR0draqqKiUlJfkt06VLF/Xo0UNVVVWSpKqqKvXv39+vTXJysm/eeeed12i7dXV1qqur8z33eDyh7hoAABGBfZ59ER22brnlFt+/L7nkEl166aW68MILVVxcrGuuucbadvPz87Vw4UJr6wcAIFKwz7Mv4k8jnm7AgAFKTEzU3r17JUkpKSn6/PPP/dqcPHlS//znP33XeaWkpKi6utqvzannzV0LNm/ePNXU1Pge+/fvD3VXAACICOzz7GtXYauyslKHDh1Sr169JEnp6en68ssvtWPHDl+bTZs2qaGhQSNHjvS12bp1q06cOOFrU1RUpEGDBjV5ClH6+qL8+Ph4vwcAAB0R+zz7whq2jhw5ovLycpWXl0uS9u3bp/LyclVUVOjIkSO6//779dZbb+nTTz/Vxo0b9b3vfU8DBw5URkaGJOnb3/62rr32Wt1xxx36y1/+oj//+c+aOXOmbrnlFvXu3VuSlJWVpZiYGE2fPl27d+/WCy+8oKVLlyovLy9c3QYAAJ1IWMPWO++8o6FDh2ro0KGSpLy8PA0dOlQPPvigoqOjtXPnTt1www365je/qenTp+vyyy/Xtm3b5HK5fOsoKCjQt771LV1zzTW67rrr9J//+Z9+99BKSEjQm2++qX379unyyy/XfffdpwcffLDD3PYBAABEtrBeIH/11VfLGNPs/A0bzn4fpx49eqiwsPCMbS699FJt27Yt4PoAAABaq11dswUAANDeELYAAAAsiuj7bAEAgMjgd9lP/YnmG3YUp/XxTJc8tQRhCwAAnNXpd5mPe291GCtpe3V1derWrVvQy3MaEQAAwCKObEW4loxi/8JB11nbSNIXu1v2i8yudbUta1e54+yNJA2Om3jWNvddE9eidSEyTBudEO4S2kRn6WdHwftl1+m3XaodcosU3TWM1bSB+hO+I3in9z0YhC0AAHBWjuP860l0144ftk7j1/cgcBoRAADAIsIWAACARYQtAAAAiwhbAAAAFhG2AAAALCJsAQAAWETYAgAAsIiwBQAAYBE3NQUAAAFxGk6qdUMzB8AYqeHk1/+O6iK18gajLeWc2mYIELYAAEBAupevCncJ7QqnEQEAACxyjDFtdiSwvfJ4PEpISFBNTY3i4+NDss6WDDAttWxg1YuXvN+yjcYntaxdC+26PblF7R7fePaBrc+LaWjRusIx0GxL6pcYTBtA80L5nW9bc/s8Y4y8Xm+b1+P1ejVx4kRJ0po1a+R2u9u8Brfb3arxETmNCAAAzspxHMXGxoa1BrfbHfYagsFpRAAAAIsIWwAAABYRtgAAACwibAEAAFhE2AIAALCIsAUAAGARYQsAAMAiwhYAAIBFhC0AAACLCFsAAAAWEbYAAAAsYmzECNeSwUvzhqe1aF2Hj7csW4d6QOWWDDIdCYOvNocBpu1qTwP0AsHi89u5cWQLAADAIsIWAACARYQtAAAAiwhbAAAAFhG2AAAALCJsAQAAWETYAgAAsIiwBQAAYBFhCwAAwCLCFgAAgEWELQAAAIsIWwAAABYxEHWYtHRQ0pYM0tvSAaYP1bWsXagHBmYAVpwJnw8AHR1HtgAAACwibAEAAFhE2AIAALAorGFr69atuv7669W7d285jqNXXnnFN+/EiROaO3euLrnkEp1zzjnq3bu3br31Vh04cMBvHRdccIEcx/F7PPbYY35tdu7cqdGjR8vtdqtv375atGhRW3QPAAAgvGHr6NGjGjJkiJ588slG87766iu9++67mj9/vt599129/PLL2rNnj2644YZGbR9++GEdPHjQ97jnnnt88zwej8aPH69+/fppx44dWrx4sR566CH97ne/s9o3AAAAKcy/RszMzFRmZmaT8xISElRUVOQ37Te/+Y1GjBihiooKpaWl+abHxcUpJSWlyfUUFBTo+PHjWrZsmWJiYnTRRRepvLxcS5Ys0YwZM0LXGQAAgCa0q2u2ampq5DiOzj33XL/pjz32mHr27KmhQ4dq8eLFOnnypG9eaWmpxowZo5iYGN+0jIwM7dmzR4cPH26r0gEAQCfVbu6z5fV6NXfuXP3whz9UfHy8b/q9996rYcOGqUePHiopKdG8efN08OBBLVmyRJJUVVWl/v37+60rOTnZN++8885rtK26ujrV1dX5nns8HhtdAgAg7Njn2dcuwtaJEyd08803yxijp59+2m9eXl6e79+XXnqpYmJi9OMf/1j5+flyuVxBbS8/P18LFy5sVc0AALQH7PPsi/iwdSpoffbZZ9q0aZPfUa2mjBw5UidPntSnn36qQYMGKSUlRdXV1X5tTj1v7jqvefPm+YU4j8ejvn37trInAABEnrbY5xlj5PV6g1r29OWCXYckud1uOY4T9PKtEdFh61TQ+tvf/qbNmzerZ8+eZ12mvLxcUVFRSkpKkiSlp6frgQce0IkTJ9S1a1dJUlFRkQYNGtTkKURJcrlcQR8VAwCgPWmLfZ7X6232B3GBmDhxYtDLrlu3TrGxsa2uIRhhDVtHjhzR3r17fc/37dun8vJy9ejRQ7169dIPfvADvfvuu1q7dq3q6+tVVVUlSerRo4diYmJUWlqqt99+W2PHjlVcXJxKS0uVm5uryZMn+4JUVlaWFi5cqOnTp2vu3LnatWuXli5dql/96ldh6TMAAOhcHGOMCdfGi4uLNXbs2EbTb7vtNj300EONLmw/ZfPmzbr66qv17rvv6u6779Zf//pX1dXVqX///poyZYry8vL8UvrOnTuVk5OjsrIyJSYm6p577tHcuXNbXKfH41FCQoJqamrOehoTAID2zMY+rzWnEY0xvgv4XS5X0KcCw3kaMaxhq70gbAEAOgv2eaHXru6zBQAA0N4QtgAAACwibAEAAFhE2AIAALCIsAUAAGARYQsAAMAiwhYAAIBFhC0AAACLCFsAAAAWEbYAAAAsImwBAABYRNgCAACwqEu4C0DrLdtW06J2h4+3LFvfd01ca8oBAACn4cgWAACARYQtAAAAiwhbAAAAFhG2AAAALCJsAQCAiFZSUqJJkyappKQk3KUEhbAFAAAiltfrVX5+vqqrq5Wfny+v1xvukgJG2AIAABHrueeeU21trSSptrZWzz//fJgrChxhCwAARKTKykqtXr3ab9qqVatUWVkZpoqCQ9gCAAARxxijX/ziFzLGtGh6JCNsAQCAiPPZZ5/p/fffb3Le+++/r88++6yNKwoeYQsAAMAiwhYAAIg4aWlp6t69e5PzunfvrrS0tDauKHgMRN0BTBudEO4SAAAIqf379+vIkSNNzjty5Ij279+vfv36tXFVweHIFgAAiDhpaWkaPny4HMfxm+44jkaMGNGujmwRtgAAQMRxHEezZs1SVJR/VImOjtasWbMahbBIRtgCAAARKTU1VVlZWb5g5TiOsrKy1KdPnzBXFhjCFgAAiFjZ2dnq2bOnJCkxMVFZWVlhrihwhC0AABCx3G638vLylJycrNzcXLnd7nCXFDB+jQgAACLaqFGjNGrUqHCXETSObAEAAFhE2AIAALCIsAUAAGARYQsAAMAiwhYAAIBFhC0AAACLCFsAAAAWEbYAAAAsImwBAABYRNgCAACwiLAFAABgEWELAADAIgaibgFjjCTJ4/GEuRIAAFouLi5OjuOEu4xOj7DVArW1tZKkvn37hrkSAABarqamRvHx8eEuo9NzzKnDNmhWQ0ODDhw40G7/h+DxeNS3b1/t37+/U/7R0X/6T//pf2ftfzD7LWOMamtr2+0+LxJxZKsFoqKilJqaGu4yWi0+Pr5TftmcQv/pP/2n/zg7x3F4rUKMC+QBAAAsImwBAABYRNjqBFwulxYsWCCXyxXuUsKC/tN/+k//O2v/ERm4QB4AAMAijmwBAABYRNgCAACwiLAFAABgEWGrnauvr9f8+fPVv39/xcbG6sILL9Qjjzyis12KV1xcrGHDhsnlcmngwIFasWJF2xQcYsH0/+WXX9Z3v/tdnX/++YqPj1d6ero2bNjQhlWHTrDv/yl//vOf1aVLF1122WV2C7Uk2P7X1dXpgQceUL9+/eRyuXTBBRdo2bJlbVR16ATb/4KCAg0ZMkTdunVTr169NG3aNB06dKiNqg6t2tpazZ49W/369VNsbKxGjRqlsrKyMy7TUb7/0I4YtGv/8z//Y3r27GnWrl1r9u3bZ1566SXTvXt3s3Tp0maX+eSTT0y3bt1MXl6e+eCDD8wTTzxhoqOjzfr169uw8tAIpv+zZs0yv/jFL8xf/vIX89FHH5l58+aZrl27mnfffbcNKw+NYPp/yuHDh82AAQPM+PHjzZAhQ+wXa0Gw/b/hhhvMyJEjTVFRkdm3b58pKSkx27dvb6OqQyeY/m/fvt1ERUWZpUuXmk8++cRs27bNXHTRRWbixIltWHno3HzzzWbw4MFmy5Yt5m9/+5tZsGCBiY+PN5WVlU2270jff2g/CFvt3IQJE8y0adP8pt10000mOzu72WXmzJljLrroIr9pkyZNMhkZGVZqtCmY/jdl8ODBZuHChaEsrU20pv+TJk0yP//5z82CBQvabdgKpv/r1q0zCQkJ5tChQ7bLsy6Y/i9evNgMGDDAb9qvf/1r06dPHys12vTVV1+Z6Ohos3btWr/pw4YNMw888ECTy3Sk7z+0H5xGbOdGjRqljRs36qOPPpIkvffee9q+fbsyMzObXaa0tFTjxo3zm5aRkaHS0lKrtdoQTP//XUNDg2pra9WjRw9bZVoTbP+XL1+uTz75RAsWLGiLMq0Jpv9/+tOfdMUVV2jRokXq06ePvvnNb+onP/mJjh071lZlh0ww/U9PT9f+/fv1xhtvyBij6upq/fGPf9R1113XVmWHzMmTJ1VfXy+32+03PTY2Vtu3b29ymY70/Yd2JNxpD61TX19v5s6daxzHMV26dDGO45hHH330jMt84xvfaNTm9ddfN5LMV199ZbPckAum///uF7/4hTnvvPNMdXW1pSrtCab/H330kUlKSjJ79uwxxph2fWQrmP5nZGQYl8tlJkyYYN5++23z+uuvm379+pmpU6e2UdWhE+zn/8UXXzTdu3c3Xbp0MZLM9ddfb44fP94GFYdeenq6ueqqq8zf//53c/LkSfOHP/zBREVFmW9+85tNtu9I339oPwhb7dyqVatMamqqWbVqldm5c6d5/vnnTY8ePcyKFSuaXaYjfdkE0//TFRQUmG7dupmioiLLldoRaP9PnjxprrjiCvP000/7prXnsBXM+//d737XuN1u8+WXX/qm/d///Z9xHKdTfP53795tevXqZRYtWmTee+89s379enPJJZc0Oh3ZXuzdu9eMGTPGSDLR0dFm+PDhJjs723zrW99qsn1H+v5D+0HYaudSU1PNb37zG79pjzzyiBk0aFCzy4wePdrMmjXLb9qyZctMfHy8jRKtCqb/p6xatcrExsY2ut6jPQm0/4cPH/btlE49HMfxTdu4cWNblB0ywbz/t956q7nwwgv9pn3wwQdGkvnoo4+s1GlLMP2fPHmy+cEPfuA3bdu2bUaSOXDggJU628KRI0d89d98883muuuua7JdR/r+Q/vBNVvt3FdffaWoKP+3MTo6Wg0NDc0uk56ero0bN/pNKyoqUnp6upUabQqm/5K0atUq/ehHP9KqVas0YcIEmyVaFWj/4+Pj9f7776u8vNz3uPPOOzVo0CCVl5dr5MiRbVF2yATz/l955ZU6cOCAjhw54pv20UcfKSoqSqmpqdZqtSGY/je3jKQW3zIkEp1zzjnq1auXDh8+rA0bNuh73/tek+060vcf2pFwpz20zm233Wb69Onj++n3yy+/bBITE82cOXN8bX7605+aKVOm+J6f+unz/fffbz788EPz5JNPttufPgfT/4KCAtOlSxfz5JNPmoMHD/oep59Wai+C6f+/a8+nEYPpf21trUlNTTU/+MEPzO7du82WLVvMN77xDXP77beHowutEkz/ly9fbrp06WKeeuop8/HHH5vt27ebK664wowYMSIcXWi19evXm3Xr1plPPvnEvPnmm2bIkCFm5MiRvmvQOvL3H9oPwlY75/F4zKxZs0xaWppxu91mwIAB5oEHHjB1dXW+Nrfddpu56qqr/JbbvHmzueyyy0xMTIwZMGCAWb58edsWHiLB9P+qq64ykho9brvttrbvQCsF+/6frj2HrWD7/+GHH5px48aZ2NhYk5qaavLy8trl9TrB9v/Xv/61GTx4sImNjTW9evUy2dnZzd6XKtK98MILZsCAASYmJsakpKSYnJwcv/84deTvP7QfjjHt+LgxAABAhOOaLQAAAIsIWwAAABYRtgAAACwibAEAAFhE2AIAALCIsAUAAGARYQsAAMAiwhYAAIBFhC0AAACLCFsAQm7q1Km68cYb/ab98Y9/lNvt1uOPP37GZbdu3arrr79evXv3luM4euWVV+wVCgBtgLAFwLpnnnlG2dnZevrpp3Xfffedse3Ro0c1ZMgQPfnkk21UHQDY1SXcBQDo2BYtWqQFCxZo9erVmjhx4lnbZ2ZmKjMzsw0qA4C2QdgCYM3cuXP11FNPae3atbrmmmvCXQ4AhAVhC4AV69at06uvvqqNGzfqO9/5TrjLAYCw4ZotAFZceumluuCCC7RgwQIdOXIk3OUAQNgQtgBY0adPHxUXF+vvf/+7rr32WtXW1oa7JAAIC8IWAGv69eunLVu2qKqqisAFoNMibAGwqm/fviouLtbnn3+ujIwMeTyeM7Y/cuSIysvLVV5eLknat2+fysvLVVFR0QbVAkDoEbYAWJeamqri4mJ98cUXZw1c77zzjoYOHaqhQ4dKkvLy8jR06FA9+OCDbVUuAISUY4wx4S4CAACgo+LIFgAAgEWELQBtpqKiQt27d2/2wXVZADoiTiMCaDMnT57Up59+2uz8Cy64QF26cK9lAB0LYQsAAMAiTiMCAABYRNgCAACwiLAFAABgEWELAADAIsIWAACARYQtAAAAiwhbAAAAFhG2AAAALPp/ZdfXFZ9FJmsAAAAASUVORK5CYII=", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "g = sb.JointGrid(data=nb, x=\"K_1\", y=\"S1_2\")\n", "g.plot_joint(sb.histplot)\n", "g.plot_marginals(sb.boxplot)" ] }, { "cell_type": "code", "execution_count": 42, "id": "885d7e0d", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "f, (ax_box, ax_hist) = plt.subplots(\n", " 2, sharex=True, gridspec_kw={\"height_ratios\": (0.25, 0.75)}\n", ")\n", "\n", "sb.histplot(data=nb, x=\"K_1\", kde=True, ax=ax_hist)\n", "\n", "sb.boxplot(x=\"K_1\", data=nb, whis=[2.5, 97.5], ax=ax_box)\n", "sb.stripplot(x=\"K_1\", data=nb, color=\".3\", alpha=0.2, ax=ax_box)\n", "ax_box.set(xlabel=\"\")\n", "f.tight_layout()\n", "# ax = sb.violinplot(x=\"K_1\", data=nb, inner=None, color=\"r\")" ] }, { "cell_type": "code", "execution_count": 43, "id": "ffb7a7f7", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "WARNING:root:Pandas support in corner is deprecated; use ArviZ directly\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import corner\n", "\n", "g = corner.corner(pd.DataFrame(nb)[[\"K_1\", \"S1_1\", \"S1_2\"]], labels=list(nb.keys()))" ] }, { "cell_type": "markdown", "id": "bae027b9", "metadata": {}, "source": [ "### lmfit.Model\n", "\n", "It took 9 vs 5 ms. It is not possible to do global fitting. In the\n", "documentation it is stressed the need to convert the output of the\n", "residue to be 1D vectors." ] }, { "cell_type": "code", "execution_count": 44, "id": "6347be62", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[[Model]]\n", " Model(_eval)\n", "[[Fit Statistics]]\n", " # fitting method = leastsq\n", " # function evals = 44\n", " # data points = 7\n", " # variables = 3\n", " chi-square = 12308015.2\n", " reduced chi-square = 3077003.79\n", " Akaike info crit = 106.658958\n", " Bayesian info crit = 106.496688\n", " R-squared = 0.97973543\n", "[[Variables]]\n", " SB: 26638.9314 +/- 2456.05773 (9.22%) (init = 7000)\n", " SA: 54043.3812 +/- 979.984193 (1.81%) (init = 10000)\n", " pK: 8.06960356 +/- 0.14941163 (1.85%) (init = 7)\n", "[[Correlations]] (unreported correlations are < 0.100)\n", " C(SB, pK) = -0.7750\n", " C(SA, pK) = -0.4552\n", " C(SB, SA) = +0.2046\n" ] } ], "source": [ "mod = lmfit.models.ExpressionModel(\"(SB + SA * 10**(pK-x)) / (1 + 10**(pK-x))\")\n", "result = mod.fit(np.array(df.y1), x=np.array(df.x), pK=7, SB=7e3, SA=10000)\n", "print(result.fit_report())" ] }, { "cell_type": "code", "execution_count": 45, "id": "b59e2a14", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 45, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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GGzx4sEUwj4iIwHvvvQeDwYBjx47BYDCgR48eFq8pLS2Fp6fpOLTnnnsOM2fOxE8//YTIyEiMHz8evXv3btFtaGkMOU2ANwAkah1UchWCPIIQ5BGEMRgDwDQccbngskXw+fXKr/j18q8YlzEOk0Im4Znez9z22VtkmxyUDjjwtwNWe++mUlBQAIVCgeTkZCgUlrdacXZ2BgBMnz4dUVFR2Lp1K3766SfExcXhvffew+zZs5usj9aGIacJ8AaARK2XTCZDR5eO6OjSEZGdIgEAF7QX8Paht/HL5V/w+fHPseXcFsQOjMUDgQ9wCKuNkclkNhNwDxywDGP79+9H9+7doVAo0K9fPxgMBmRnZ+Puu++udR3+/v6YMWMGZsyYgUWLFuHTTz/F7NmzoVarAQAGg+G2+1Sr1U2ynqYgt3YDUsAbABLZls6unbHyvpX46C8foaNzR2QXZ2Ph/xZi6vapSM1JtXZ7RDVKT09HbGwsUlNT8fXXX+Ojjz7CnDlzAAA9evTAxIkTMWnSJHz//fdIS0vDwYMHERcXh61bTVcenzt3LrZv3460tDQcOXIEu3btwh133AEA6NSpE2QyGbZs2YKrV6+ioKCg0X127twZaWlpSElJwbVr11BaWnr7G99IDDlNgDcAJLI9MpkMQ/2HYuPYjZjVdxbsFfZIzkrGI1sewdIDS6Et1Vq7RSILkyZNQnFxMcLCwhATE4M5c+bg6aefNi9fvXo1Jk2ahBdeeAFBQUEYO3YsDh06hICAAACmvTQxMTG44447MHLkSPTo0QMrV64EAHTo0AGvv/46Fi5cCG9vb8yaNavRfY4fPx4jR47EsGHD0L59e3z99de3t+G3gdfJaYLr5BiMAne9vbPOGwD+suAvPCaHqJXKKMjAu4ffxY6LOwAA7nbueK7/cxjXbRwUckUdryZbYavXyWmLmuI6OdyT0wQqbgAIVN7wrwJvAEhkG3ydffH+0Pfx6YhP0dW1K3JLc/F60uuYuG0ijl49WvcKiKjVaVDIee211yCTySym4OBg8/KSkhLExMTA09MTzs7OGD9+PLKysizWkZ6ejujoaDg6OsLLywsvvvgiysvLLWp2796N/v37w87ODt26dat21UUAWLFiBTp37gx7e3uEh4fj4MGD1Wpa0shQX6x6vD98XC3Tpo+rPU8fJ7Ihg30HY93odXhx4ItwVjnjxPUTmLhtIl755ZVar7xMRK1Tg8+u6tmzp/kqhgCgVFau4vnnn8fWrVuxbt06uLq6YtasWXjooYfw66+/AjCNB0ZHR8PHxwf79u1DRkYGJk2aBJVKhaVLlwIA0tLSEB0djRkzZuDLL79EYmIipk+fDl9fX0RFma6A+u233yI2NhYff/wxwsPD8cEHHyAqKgqpqanmCxVZA28ASCQNKrkKk3pOwgNdHsAHyR9g07lN2HRuExLTE/Fs32fxaPCjvIIykS0QDbBkyRLRp0+fGpfl5eUJlUol1q1bZ5536tQpAUAkJSUJIYTYtm2bkMvlIjMz01yzatUqodFoRGlpqRBCiPnz54uePXtarHvChAkiKirK/DwsLEzExMSYnxsMBuHn5yfi4uIasjlCq9UKAEKr1TbodUTUtvyW9Zt4ZPMjIjQ+VITGh4qxG8eK/Vf2W7staoTi4mJx8uRJUVxcbO1WqA63+qzq+/vd4GNyzpw5Az8/P3Tp0gUTJ05Eeno6ACA5ORllZWWIjIw01wYHByMgIABJSUkAgKSkJPTq1Qve3t7mmqioKOh0Opw4ccJcU3UdFTUV69Dr9UhOTraokcvliIyMNNcQETWlvl598dUDX2FxxGK42bnhbN5ZTP9pOl7Y/QIyCjKs3R4R1aJBISc8PBzx8fFISEjAqlWrkJaWhrvvvhv5+fnIzMyEWq2uds8Lb29vZGZmAgAyMzMtAk7F8oplt6rR6XQoLi7GtWvXYDAYaqypWEdtSktLodPpLCYiovpQyBV4uMfD2DJuCx4NehRymRw/XfwJozeOxidHP0GpwXrXAqGGE233xGKb0RSfUYNCzv3334+HH34YvXv3RlRUFLZt24a8vDx89913t91IS4iLi4Orq6t58vf3t3ZLRGRjXO1c8fLgl/Hdg9+hv1d/lBhK8NFvH2HsxrHYc2mPtdujOlTc8kCv11u5E6pLUVERAEClavzxb7d1Wwc3Nzf06NEDZ8+exfDhw6HX65GXl2exNycrK8t8J1IfH59qZ0FVnH1VtebmM7KysrLMt35XKBRQKBQ11tR1x9NFixYhNjbW/Fyn0zHoEFGjBHkEIX5kPLalbcP7h9/HnwV/YtbOWbi7w91YELYAnTSdrN0i1UCpVMLR0RFXr16FSqWCXM4rqbQ2QggUFRUhOzsbbm5u1e7F1RC3FXIKCgpw7tw5PPHEExgwYABUKhUSExMxfvx4AEBqairS09MREREBwHTH1H/84x/Izs42nwW1Y8cOaDQahISEmGu2bdtm8T47duwwr0OtVmPAgAFITEzE2LFjAQBGoxGJiYl1XqHRzs4OdnZ2t7PJRERmMpkM0V2iMdR/KD45+gm+OPkF/nf5f9i/aT8mhUzC072ftpn7IrUVMpkMvr6+SEtLw8WLF63dDt2Cm5tbnTsv6tKgKx7PmzcPo0aNQqdOnXDlyhUsWbIEKSkpOHnyJNq3b4+ZM2di27ZtiI+Ph0ajMd/ZdN++fQBMp5D37dsXfn5+eOedd5CZmYknnngC06dPtziFPDQ0FDExMXjyySexc+dOPPfcc9i6davFKeSTJ0/Gv//9b4SFheGDDz7Ad999h9OnT1c7VudWmuqKx0REAJCmTcPbh97Gr5dNl83wcvTCvIHzMLLzSN74s5UxGo0csmrFVCrVLffg1Pv3uyGnc02YMEH4+voKtVotOnToICZMmCDOnj1rcbrXs88+K9zd3YWjo6MYN26cyMjIsFjHhQsXxP333y8cHBxEu3btxAsvvCDKysosanbt2iX69u0r1Gq16NKli1i9enW1Xj766CMREBAg1Gq1CAsLE/v3N/x0Tp5CTkRNzWg0ip0Xd4qo/0aZTzmf8uMUcfr6aWu3RiQZ9f395r2ruCeHiJpBSXkJ4k/E47Njn6HUUAq5TI5Hgx7Fs32fhaudq7XbI7JpvHcVEZEV2SvtMaPPDPww9gcM7zQcRmHEV6e/wqgNo7D+j/UwCqO1WySSPO7J4Z4cImoBSVeS8NbBt3Beex4AEOoZipfCX0Kv9r2s3BmR7anv7zdDDkMOEbWQMmMZvjr1FVb9vgqFZYUAgHHdxmFO/znwdPC0cndEtoPDVURErYxKrsLknpOxZdwWjO46GgCw4ewGjNowCmtPrkW5sdzKHRJJC/fkcE8OEVlJSnYKlh5YilM5pwAA3dy64aXwlzDIZ5CVOyNq3ThcVQ8MOURkbQajAevPrMfy35ZDW6oFAER1jsK8gfPg43R7F0IjkioOVxER2QCFXIFHgh7B1nFbMSFoAuQyObZf2I7RG0fj06OfQm/gBeuIGot7crgnh4hakdM5p7H0wFL8lv0bAMDfxR8Lwxbino73WLkzotaDw1X1wJBDRK2REAJb07bi/cPv42rxVQDAPR3vwYJBCxCgCbByd0TWx+EqIiIbJZPJ8GCXB7F53GZM7TkVSpkSe//ci7GbxmL5keUoKiuydotENoEhh4iolXJSOSF2YCzWj1mPIX5DUGYsw6fHPsXojaORkJaANrwjnqheOFzF4SoisgFCCOy8tBPvHnoXlwsuAwAG+QzCorBF6O7e3crdEbUsDlcREUmITCbDfQH3YeOYjXi2z7OwU9jhUOYhPLz5Ybx98G3o9Dprt0jU6jDkEBHZEHulPWb2nYlNYzfhvoD7YBAGrD21FqM2jMKGMxt440+iKjhcxeEqIrJh+67sw1sH30KaNg0A0KtdL7wU/hJC24VauTOi5sNTyOuBIYeIpKDMUIYvT32JVb+vQlF5EWSQYVx3040/Pew9rN0eUZPjMTlERG2ESqHClNAp2DJuC0Z1GQUBge/PfI8HNzyIL099yRt/UpvFPTnck0NEEvNb9m9YemApTuecBgB0d++ORWGLeONPkgwOV9UDQw4RSVVNN/68v/P9iB0Yyxt/ks3jcBURURtWcePPLWO34JEej0AGGX688CNGbxyNz459xht/UpvAPTnck0NEbcDJ6ycRdyAOKVdTAACdNJ0wf9B83viTbBKHq+qBIYeI2hIhBLac34L3Dr+H6yXXAQBDOw7F/EHz4a/xt3J3RPXH4SoiIrIgk8kwqusobBm3BZNDJkMpU2L3n7sxdtNYfPTbRyguL7Z2i0RNiiGHiKiNcVY7Y96geVg/ej0G+w6G3qjHJ0c/weiNo7H9wnbe+JMkg8NVHK4iojZMCIHE9ES8e+hdXCm8AgAI9wnHwrCFCHTtioNpOcjOL4GXiz3CAj2gkMus3DERj8mpF4YcIiKT4vJifH78c3x+7HPojXrIIYei4G7kXB4GGO0BAL6u9lgyKgQjQ32t3C21dTwmh4iI6s1B6YCYvjHYNHYTeroNgRFGlDnvgVPXf0Kp+R0AkKktwcy1R5BwPMPK3RLVD0MOERGZ+Tp1wMWTj6Ao/UkYS9tBriyAQ4evofLYi4rd/q9vPgmDsc0OApANYcghIiKzg2k5yNCWwFDYA4Xn50J/3XQdHXvvbVC32wEBgQxtCQ6m5Vi5U6K6MeQQEZFZdn5JlWdKlGY/gNLsKACAXftE2HltBSBuqiNqnZTWboCIiFoPLxf7avP014dBGNWw99kMtecvgFyPds5hVuiOqGG4J4eIiMzCAj3g62qPm08UL8u9E8VXxkMIGdTuB/HDlfdRbiy3So9E9cWQQ0REZgq5DEtGhQBAtaBj0A5C6eVHIYcC29K24oXdL/BGn9SqMeQQEZGFkaG+WPV4f/i4Wg5d+bja46MxU/HhXz6AWq7Gzks7MXvnbN4OglotXgyQFwMkIqqRwShqveLx/oz9eG7ncyguL0Z/r/5Ycd8KOKudrdwxtRW84nE9MOQQETVeSnYKnv35WeSX5aOnZ098HPkx3OzdrN0WtQG84jERETWrvl598VnUZ3Czc8OJ6ycwdftUXCu+Zu22iMwYcoiIqNFCPEMQPzIe7R3a42zeWUxJmIKMAt72gVoHhhwiIrotXd26Ys3INfBz8sNF3UVMTpiMdF26tdsiYsghIqLb56/xx5r716CzpjMyCjMwOWEyzuSesXZb1MYx5BARUZPwcfLB6pGr0cO9B64VX8PU7VNx4voJa7dFbRhDDhERNZl2Du3wedTn6NWuF7SlWkzfPh1Hso5Yuy1qoxhyiIioSbnaueLTEZ9igPcAFJQVYMbPM5B0JcnabVEbxJBDRERNzknlhFWRq3BnhztRXF6MmMQY7Ezfae22qI1hyCEiombhoHTA8mHLERkQiTJjGWJ3x2Lb+W3WbovaEIYcIiJqNmqFGu/e+y5GdRkFgzBg4f8WYv0f663dFrURDDlERNSslHIl/n7X3/FIj0cgIPBa0mv4z8n/WLstagMYcoiIqNnJZXK8MvgVTOk5BQDwzqF38O/f/402fPtEagEMOURE1CJkMhliB8Qipm8MAOBfKf/CsiPLGHSo2TDkEBFRi5HJZJjRZwbmDZwHAFh9fDX+ceAfMAqjlTsjKWLIISKiFje552QsjlgMGWT4NvVbvPrrqyg3llu7LZIYhhwiIrKKh3s8jKV3L4VCpsAP537A/L3zUWYos3ZbJCEMOUREZDUPdnkQ7w19Dyq5Cjsu7sBzu55DSXmJtdsiiWDIISIiq7ov4D786y//gr3CHr9c/gXPJj6LwrJCa7dFEsCQQ0REVjekwxB8PPxjOKmccCjzEJ7+6WloS7XWbotsHEMOERG1CgO8B+CzEZ/B1c4VR68dxbTt03C9+Lq12yIbxpBDREStRmi7UHwe9Tk87T2RmpuKqdunIrMw09ptkY1iyCEiolalh3sPrLl/DXycfJCmTcOUhCm4lH/J2m2RDWLIISKiVqeTphPWjFyDAJcAXC64jCk/TsH5vPPWbotsDEMOERG1Sn7OfogfGY9ubt2QXZyNKQlTcDrntLXbIhtyWyHnrbfegkwmw9y5c83zSkpKEBMTA09PTzg7O2P8+PHIysqyeF16ejqio6Ph6OgILy8vvPjiiygvt7zS5e7du9G/f3/Y2dmhW7duiI+Pr/b+K1asQOfOnWFvb4/w8HAcPHjwdjaHiIhamfaO7fF51OcI8QxBbmkuntz+JFKyU6zdFtmIRoecQ4cO4d///jd69+5tMf/555/H5s2bsW7dOuzZswdXrlzBQw89ZF5uMBgQHR0NvV6Pffv2Yc2aNYiPj8fixYvNNWlpaYiOjsawYcOQkpKCuXPnYvr06di+fbu55ttvv0VsbCyWLFmCI0eOoE+fPoiKikJ2dnZjN4mIiFohd3t3fDbiM/T36o98fT6e3vE0DmQcsHZbZAtEI+Tn54vu3buLHTt2iHvvvVfMmTNHCCFEXl6eUKlUYt26debaU6dOCQAiKSlJCCHEtm3bhFwuF5mZmeaaVatWCY1GI0pLS4UQQsyfP1/07NnT4j0nTJggoqKizM/DwsJETEyM+bnBYBB+fn4iLi6u3tuh1WoFAKHVauu/8UREZBWF+kLx1PanRGh8qOj/RX+x59Iea7dEVlLf3+9G7cmJiYlBdHQ0IiMjLeYnJyejrKzMYn5wcDACAgKQlJQEAEhKSkKvXr3g7e1tromKioJOp8OJEyfMNTevOyoqyrwOvV6P5ORkixq5XI7IyEhzTU1KS0uh0+ksJiIisg2OKkd8dN9HGOo/FHqjHnN2zsH2C9vrfiG1WQ0OOd988w2OHDmCuLi4assyMzOhVqvh5uZmMd/b2xuZmZnmmqoBp2J5xbJb1eh0OhQXF+PatWswGAw11lSsoyZxcXFwdXU1T/7+/vXbaCIiahXsFHZ4f+j7uD/wfpSLcszfOx8bz260dlvUSjUo5Fy6dAlz5szBl19+CXt7++bqqdksWrQIWq3WPF26xOsuEBHZGpVchbi74jC++3gYhRGv/voqvjr1lbXbolaoQSEnOTkZ2dnZ6N+/P5RKJZRKJfbs2YPly5dDqVTC29sber0eeXl5Fq/LysqCj48PAMDHx6fa2VYVz+uq0Wg0cHBwQLt27aBQKGqsqVhHTezs7KDRaCwmIiKyPQq5AksiluDxOx4HAMQdjMNnxz6zclfU2jQo5Nx33304duwYUlJSzNPAgQMxceJE82OVSoXExETza1JTU5Geno6IiAgAQEREBI4dO2ZxFtSOHTug0WgQEhJirqm6joqainWo1WoMGDDAosZoNCIxMdFcQ0RE0iaTyTB/0Hw80/sZAMCHRz7E8iPLIYSwcmfUWigbUuzi4oLQ0FCLeU5OTvD09DTPnzZtGmJjY+Hh4QGNRoPZs2cjIiICgwcPBgCMGDECISEheOKJJ/DOO+8gMzMTr7zyCmJiYmBnZwcAmDFjBv71r39h/vz5ePLJJ7Fz505899132Lp1q/l9Y2NjMXnyZAwcOBBhYWH44IMPUFhYiKlTp97WPwgREdkOmUyGWf1mwVHliGXJy/DpsU9RVF6E+YPmQy7j9W7bugaFnPpYtmwZ5HI5xo8fj9LSUkRFRWHlypXm5QqFAlu2bMHMmTMREREBJycnTJ48GW+88Ya5JjAwEFu3bsXzzz+PDz/8EB07dsRnn32GqKgoc82ECRNw9epVLF68GJmZmejbty8SEhKqHYxMRETS92Tok3BUOuIfB/6BL099iaKyIiyJWAKFXGHt1siKZKIN79fT6XRwdXWFVqvl8TlERBKw6ewmLN63GEZhxMjOI7H07qVQyVXWbouaWH1/v7kvj4iIJGNMtzF49553oZQrkXAhAbG7YlFqKLV2W2QlDDlERCQpIzqPwIfDPoSdwg67/9yNmMQYFJUVWbstsgKGHCIikpx7Ot6DVZGr4Kh0xIGMA3hmxzPQ6XmV+7aGIYeIiCRpkM8gfDriU7ioXZByNQXTt09HbkmutduiFsSQQ0REktW7fW+sjloND3sPnMo5hakJU5FdlF33C0kSGHKIiEjSgjyCsHrkang5euGc9hymJEzBlYIr1m6LWgBDDhERSV4X1y5YM3INOjh3wKX8S5j04yRc0F6wdlvUzBhyiIioTejo0hFrRq5BoGsgsoqyMDlhMlJzUq3dFjUjhhwiImozvJ28ET8yHsEewcgpycGT25/EsavHrN0WNROGHCIialM87D3wf1H/h97te0On12H6T9NxOPOwtduiZsCQQ0REbY5GrcGnwz9FuE84isqLMPPnmfjl8i/WbouaGEMOERG1SY4qR6yIXIF7Ot6DEkMJZu+cjZ8v/mzttqgJMeQQEVGbZaewwwdDP8CITiNQbizHvD3zsPncZmu3RU2EIYeIiNo0lUKFd+55B2O6joFBGPDyLy/ju9TvrN0WNQGGHCIiavMUcgXeuPMNPBb8GAQE3tz/JuKPx1u7LbpNDDlEREQA5DI5FoUtwvRe0wEA7yW/h5UpKyGEsHJn1FgMOURERDfIZDLM6T8Hz/V7DgCw6vdV+OfhfzLo2CiGHCIiops81fspLAxbCAD44uQXeHP/mzAKo5W7ooZiyCEiIqrBxDsm4o0hb0AGGdb9sQ4v/fISyo3l1m6LGoAhh4iIqBbjuo/DO/e8A6VMia3nt+KF3S9Ab9Bbuy2qJ4YcIiKiWxgZOBLLhi2DWq7Gzks7MXvnbBSXF1u7LaoHhhwiIqI6DPUfihWRK+CgdMC+K/swY8cMFOgLrN0W1YEhh4iIqB4G+w7Gv4f/G84qZxzJPoKR/x2DVQc3wWDkmVetFUMOERFRPWVl+8Bw5RkY9W7QlmVj5alXMODTx/BV8m/Wbo1qwJBDRERUDwnHMzBz7RFkX2uPwvOxKL02FELIYbA/gaVHp2H+jvdRZiizdptUBUMOERFRHQxGgdc3n4R5YEqoob86EkXn56C8sAtk8jL8eGU1xv8wHgczDlqzVaqCIYeIiKgOB9NykKEtqTbfqPdGcfpTKL48AcZyZ6Tp0jDtp2lY9L9FuFZ8zQqdUlUMOURERHXIzq8ecCrJUK7rh8JzsQj3fBAyyLDl/BaM3jAa35z+BgajocX6JEsMOURERHXwcrGvu8joiGl3zMNX0V8hxDME+WX5+MeBf2Ditok4ce1E8zdJ1TDkEBER1SEs0AO+rvaQ1bJcBsDX1R5hgR4IbReKrx74Ci+FvwRnlTNOXD+Bx7Y+hr/v/zt0el1Ltt3mMeQQERHVQSGXYcmoEACoFnQqni8ZFQKFXHajXoHHgh/D5nGb8UDgAxAQ+Db1W4zaMAqbz23mXc1biEy04X9pnU4HV1dXaLVaaDQaa7dDREStXMLxDLy++aTFQci+rvZYMioEI0N9a33dgYwD+Pv+v+OC7gIAIMwnDC+Hv4wubl2au2VJqu/vN0MOQw4RETWAwShwMC0H2fkl8HIxDVFV7MG5Fb1BjzUn1uDfR/+NUkMplHIlpvScgqd7Pw0HpUMLdC4dDDn1wJBDREQt7c/8PxF3MA57/9wLAOjg3AGLwhbhXv97rdyZ7WDIqQeGHCIisgYhBHZe2om3Dr6FzMJMAMAw/2FYFLYIvs61D3uRSX1/v3ngMRERUQuTyWS4L+A+bBqzCVNDp0IpU2LXpV0Ys2kM/u/Y//H2EE2EIYeIiMhKHFWOiB0Qi+9GfYf+Xv1RXF6MD458gIc3P4xDmYes3Z7N43AVh6uIiKgVEELgh3M/4L3D7yG3NBcAMLrraMQOiIWng6eVu2tdOFxFRERkQ2QyGcZ0G4PN4zbj4R4PQwYZfjj3A0ZtHIXvUr+DURit3aLN4Z4c7skhIqJW6OjVo3hz/5s4nXMaANCrXS+8MvgVhHiGWLkz6+OeHCIiIhvWu31vfB39NRaGLYSTygnHrh3DY1sfQ9yBOOTr863dnk1gyCEiImqllHIlJt4xEZvHbsb9ne+HURjx1emvMHrjaGw7v423h6gDh6s4XEVERDZi35V9WHpgKS7qLgIAwn3D8XL4ywh0DbRyZy2Lw1VEREQSM8RvCL4f/T1i+sZALVfjQMYBjP9hPD767SOUlJfUvYI2hiGHiIjIhqgVaszoMwMbx2zEXR3uQpmxDJ8c/QRjN4013yqCTDhcxeEqIiKyUUIIJKYn4q2DbyGrKAsAEBkQiQVhC+Dj5GPl7poPh6uIiIgkTiaTIbJTJH4Y+wMmh0yGQqbAz+k/Y/TG0Yg/Ho8yY9u+PQRDDhERkY1zVDli3qB5+G7Ud+jn1Q/F5cV4L/k9PLL5ERzJOmLt9qyGw1UcriIiIgkxCiM2nd2E95PfR15pHgBgbLexeH7A8/Cw97Buc02Ew1VERERtkFwmx7ju47B57GaM7z4eALDx7EaM3jga//3jv23q9hDck8M9OUREJGEp2Sn4+/6/IzU3FYDpSsqvDn4VwR7BVu6s8bgnh4iIiNDXqy++efAbzB80H45KRxy9ehQTtkzA2wffRoG+wNrtNSuGHCIiIolTypV4IuQJ/DD2B4zoNAJGYcTaU2sxZuMYJFxIkOztIThcxeEqIiJqY369/CuWHliK9Px0AKYrKb8U/hI6aTpZubP64XAVERER1ejODnfi+zHf49k+z0ItV2PflX14aNNDWJmyEqWGUmu312QYcoiIiNogO4UdZvadie/HfI8hfkOgN+qx6vdVGLdpHH69/Ku122sSHK7icBUREbVxQgj8dPEnvHPwHWQXZwMAhncajgWDFsDbydvK3VXH4SoiIiKqF5lMhqjOUfhh3A94IuQJKGQK7Li4A6M3jsaaE2tQbiy3douNwpBDREREAAAnlRPmD5qPbx/8Fn3a90FReRH+efifmLBlAlKyU6zdXoM1KOSsWrUKvXv3hkajgUajQUREBH788Ufz8pKSEsTExMDT0xPOzs4YP348srKyLNaRnp6O6OhoODo6wsvLCy+++CLKyy0T4u7du9G/f3/Y2dmhW7duiI+Pr9bLihUr0LlzZ9jb2yM8PBwHDx5syKYQERFRLYI8gvDF/V/gtYjX4Grnij9y/8ATPz6BJfuWIK8kz9rt1VuDQk7Hjh3x1ltvITk5GYcPH8Zf/vIXjBkzBidOnAAAPP/889i8eTPWrVuHPXv24MqVK3jooYfMrzcYDIiOjoZer8e+ffuwZs0axMfHY/HixeaatLQ0REdHY9iwYUhJScHcuXMxffp0bN++3Vzz7bffIjY2FkuWLMGRI0fQp08fREVFITs7+3b/PYiIiAim20OM7zEem8duxrhu4wAA35/5HqM2jsKGMxtueXsIg1Eg6dx1bEq5jKRz12EwWufw39s+8NjDwwPvvvsu/vrXv6J9+/b46quv8Ne//hUAcPr0adxxxx1ISkrC4MGD8eOPP+LBBx/ElStX4O1tOpDp448/xoIFC3D16lWo1WosWLAAW7duxfHjx83v8eijjyIvLw8JCQkAgPDwcAwaNAj/+te/AABGoxH+/v6YPXs2Fi5cWO/eeeAxERFR/fyW/Rve3P8mzuSeAQD0bd8Xrwx+BUEeQRZ1Cccz8Prmk8jQlpjn+braY8moEIwM9W2SXpr9wGODwYBvvvkGhYWFiIiIQHJyMsrKyhAZGWmuCQ4ORkBAAJKSkgAASUlJ6NWrlzngAEBUVBR0Op15b1BSUpLFOipqKtah1+uRnJxsUSOXyxEZGWmuqU1paSl0Op3FRERERHXr59UP3z74LeYNnAcHpQNSrqZgwpYJePfQuygsKwRgCjgz1x6xCDgAkKktwcy1R5BwPKNFe25wyDl27BicnZ1hZ2eHGTNmYMOGDQgJCUFmZibUajXc3Nws6r29vZGZmQkAyMzMtAg4Fcsrlt2qRqfTobi4GNeuXYPBYKixpmIdtYmLi4Orq6t58vf3b+jmExERtVkquQqTe07GD2N/wPBOw2EQBnxx8guM3jgaCWnb8drmE6hpeKhi3uubT7bo0FWDQ05QUBBSUlJw4MABzJw5E5MnT8bJkyebo7cmt2jRImi1WvN06dIla7dERERkc3ycfPD+0Pex8r6V6OjcEdlF2Xhx7zxoNasgU12v8TUCQIa2BAfTclqszwaHHLVajW7dumHAgAGIi4tDnz598OGHH8LHxwd6vR55eXkW9VlZWfDx8QEA+Pj4VDvbquJ5XTUajQYODg5o164dFApFjTUV66iNnZ2d+cywiomIiIga5+6Od2PDmA14pvczUMhUUDr/Aacuy6Bu9zMgq/naOtn5JTXObw63fZ0co9GI0tJSDBgwACqVComJieZlqampSE9PR0REBAAgIiICx44dszgLaseOHdBoNAgJCTHXVF1HRU3FOtRqNQYMGGBRYzQakZiYaK4hIiKilmGvtMesfrPwWv/PUV7QDTJ5Oeza/wynwA+gcDpTrd7Lxb7FemtQyFm0aBH27t2LCxcu4NixY1i0aBF2796NiRMnwtXVFdOmTUNsbCx27dqF5ORkTJ06FRERERg8eDAAYMSIEQgJCcETTzyB33//Hdu3b8crr7yCmJgY2NnZAQBmzJiB8+fPY/78+Th9+jRWrlyJ7777Ds8//7y5j9jYWHz66adYs2YNTp06hZkzZ6KwsBBTp05twn8aIiIiqq9RIX3gqotByZ+PwVjmArndNTgG/B8UjmcBADKYzrIKC/RosZ6UDSnOzs7GpEmTkJGRAVdXV/Tu3Rvbt2/H8OHDAQDLli2DXC7H+PHjUVpaiqioKKxcudL8eoVCgS1btmDmzJmIiIiAk5MTJk+ejDfeeMNcExgYiK1bt+L555/Hhx9+iI4dO+Kzzz5DVFSUuWbChAm4evUqFi9ejMzMTPTt2xcJCQnVDkYmIiKilqGQy/DaqJ6YubYU5YVBULffAbndFRiKukB2o2bJqBAo5LJbrqcp8QadvE4OERFRk7G8To4BgMJq18lp0J4cIiIiolsZGeqL4SE+OJiWg+z8Eni5mIaoWnIPTgWGHCIiImpSCrkMEV09rd0G70JORERE0sSQQ0RERJLEkENERESSxJBDREREksSQQ0RERJLEkENERESSxJBDREREksSQQ0RERJLEkENERESSxJBDREREksSQQ0RERJLEkENERESSxJBDREREksSQQ0RERJLEkENERESSxJBDREREksSQQ0RERJLEkENERESSxJBDREREksSQQ0RERJLEkENERESSxJBDREREksSQQ0RERJLEkENERESSxJBDREREksSQQ0RERJLEkENERESSxJBDREREksSQQ0RERJLEkENERESSxJBDREREksSQQ0RERJLEkENERESSxJBDREREksSQQ0RERJLEkENERESSxJBDREREksSQQ0RERJLEkENERESSxJBDREREksSQQ0RERJLEkENERESSxJBDREREksSQQ0RERJLEkENERESSxJBDREREksSQQ0RERJLEkENERESSxJBDREREksSQQ0RERJLEkENERESSxJBDREREksSQQ0RERJLEkENERESSxJBDREREksSQQ0RERJLEkENERESS1KCQExcXh0GDBsHFxQVeXl4YO3YsUlNTLWpKSkoQExMDT09PODs7Y/z48cjKyrKoSU9PR3R0NBwdHeHl5YUXX3wR5eXlFjW7d+9G//79YWdnh27duiE+Pr5aPytWrEDnzp1hb2+P8PBwHDx4sCGbQ0RERBLWoJCzZ88exMTEYP/+/dixYwfKysowYsQIFBYWmmuef/55bN68GevWrcOePXtw5coVPPTQQ+blBoMB0dHR0Ov12LdvH9asWYP4+HgsXrzYXJOWlobo6GgMGzYMKSkpmDt3LqZPn47t27eba7799lvExsZiyZIlOHLkCPr06YOoqChkZ2ffzr8HERERSYW4DdnZ2QKA2LNnjxBCiLy8PKFSqcS6devMNadOnRIARFJSkhBCiG3btgm5XC4yMzPNNatWrRIajUaUlpYKIYSYP3++6Nmzp8V7TZgwQURFRZmfh4WFiZiYGPNzg8Eg/Pz8RFxcXL3712q1AoDQarUN2GoiIiKypvr+ft/WMTlarRYA4OHhAQBITk5GWVkZIiMjzTXBwcEICAhAUlISACApKQm9evWCt7e3uSYqKgo6nQ4nTpww11RdR0VNxTr0ej2Sk5MtauRyOSIjI801NSktLYVOp7OYiIiISJoaHXKMRiPmzp2LO++8E6GhoQCAzMxMqNVquLm5WdR6e3sjMzPTXFM14FQsr1h2qxqdTofi4mJcu3YNBoOhxpqKddQkLi4Orq6u5snf37/hG05EREQ2odEhJyYmBsePH8c333zTlP00q0WLFkGr1ZqnS5cuWbslIiIiaibKxrxo1qxZ2LJlC/bu3YuOHTua5/v4+ECv1yMvL89ib05WVhZ8fHzMNTefBVVx9lXVmpvPyMrKyoJGo4GDgwMUCgUUCkWNNRXrqImdnR3s7OwavsFERERkcxq0J0cIgVmzZmHDhg3YuXMnAgMDLZYPGDAAKpUKiYmJ5nmpqalIT09HREQEACAiIgLHjh2zOAtqx44d0Gg0CAkJMddUXUdFTcU61Go1BgwYYFFjNBqRmJhoriEiIqI2riFHM8+cOVO4urqK3bt3i4yMDPNUVFRkrpkxY4YICAgQO3fuFIcPHxYREREiIiLCvLy8vFyEhoaKESNGiJSUFJGQkCDat28vFi1aZK45f/68cHR0FC+++KI4deqUWLFihVAoFCIhIcFc88033wg7OzsRHx8vTp48KZ5++mnh5uZmcdZWXXh2FRERke2p7+93g0IOgBqn1atXm2uKi4vFs88+K9zd3YWjo6MYN26cyMjIsFjPhQsXxP333y8cHBxEu3btxAsvvCDKysosanbt2iX69u0r1Gq16NKli8V7VPjoo49EQECAUKvVIiwsTOzfv78hm8OQQ0REZIPq+/stE0IIa+1FsjadTgdXV1dotVpoNBprt0NERET1UN/fb967ioiIiCSJIYeIiIgkiSGHiIiIJIkhh4iIiCSJIYeIiIgkiSGHiIiIJIkhh4iIiCSJIYeIiIgkiSGHiIiIJIkhh4iIiCSJIYeIiIgkiSGHiIiIJIkhh4iIiCSJIYeIiIgkiSGHiIiIJIkhh4iIiCSJIYeIiIgkiSGHiIiIJIkhh4iIiCSJIYeIiIgkiSGHiIiIJIkhh4iIiCSJIYeIiIgkiSGHiIiIJIkhh4iIiCSJIYeIiIgkiSGHiIiIJIkhh4iIiCSJIYeIiIgkiSGHiIiIJIkhh4iIiCSJIYeIiIgkiSGHiIiIJIkhh4iIiCSJIYeIiIgkiSGHiIiIJIkhh4iIiCSJIYeIiIgkiSGHiIiIJIkhh4iIiCSJIYeIiIgkiSGHiIiIJIkhh4iIiCSJIYeIiIgkiSGHiIiIJIkhh4iIiCSJIYeIiIgkiSGHiIiIJIkhh4iIiCSJIYeIiIgkiSGHiIiIJIkhh4iIiCSJIYeIiIgkiSGHiIiIJIkhh4iIiCSJIYeIiIgkiSGHiIiIJIkhh4iIiCSJIYeIiIgkqcEhZ+/evRg1ahT8/Pwgk8mwceNGi+VCCCxevBi+vr5wcHBAZGQkzpw5Y1GTk5ODiRMnQqPRwM3NDdOmTUNBQYFFzdGjR3H33XfD3t4e/v7+eOedd6r1sm7dOgQHB8Pe3h69evXCtm3bGro5REREJFENDjmFhYXo06cPVqxYUePyd955B8uXL8fHH3+MAwcOwMnJCVFRUSgpKTHXTJw4ESdOnMCOHTuwZcsW7N27F08//bR5uU6nw4gRI9CpUyckJyfj3XffxWuvvYZPPvnEXLNv3z489thjmDZtGn777TeMHTsWY8eOxfHjxxu6SURERCRF4jYAEBs2bDA/NxqNwsfHR7z77rvmeXl5ecLOzk58/fXXQgghTp48KQCIQ4cOmWt+/PFHIZPJxOXLl4UQQqxcuVK4u7uL0tJSc82CBQtEUFCQ+fkjjzwioqOjLfoJDw8XzzzzTL3712q1AoDQarX1fg0RERFZV31/v5v0mJy0tDRkZmYiMjLSPM/V1RXh4eFISkoCACQlJcHNzQ0DBw4010RGRkIul+PAgQPmmnvuuQdqtdpcExUVhdTUVOTm5pprqr5PRU3F+7QauReBy0eAjN+BzONA9ing6h/A9XNAThpgKK+sLS0AinKA4jygNB/QFwHlpaYaIay2CURERLZI2ZQry8zMBAB4e3tbzPf29jYvy8zMhJeXl2UTSiU8PDwsagIDA6uto2KZu7s7MjMzb/k+NSktLUVpaan5uU6na8jmNc6vHwCHP699+dxjgFuA6fHuOCDpX7XXPnsA8Ao2Pd77LvDLh4BcDsgUgFwJyBU3HsuBR78GfEJNtb+tBfZ/XKVWUeWvHBgZB/j0MtX+8RNwZI1pvkXdjb+DZwLePU21fyYDJ76vpVYO3DEaaB9kqr1+DjibWEsPCsB/EODe2VRbkA1c+a1yPTfXu3cGnG/8N6QvBLSXAbUjoHYC1M6AQtXAD4mIiKSoSUNOaxcXF4fXX3+9Zd/U3g3QdASEATAaqvw1mv7Kq3wEwnjrdckVlY/LSgB9fu21xip7iPIzgaxjtdeWVllPznng9Jbaa0PGVoacrOO3DmXtelSGnCu/AT++WHvt2I8rQ86fh4FvHqu9Nvp9YNC0G7WHgC/GWC5X2FUGnnvmAQMmm+bnnAd2v3Vj2Y3laufKx769K/st1wMFWYCdM4MTEZGNatKQ4+PjAwDIysqCr6+veX5WVhb69u1rrsnOzrZ4XXl5OXJycsyv9/HxQVZWlkVNxfO6aiqW12TRokWIjY01P9fpdPD392/IJjZc5BLTVB9RS4ERf68ShsotA5GDe2VtRAzQ9283BacqAapd98raXn8F/PpVrqeizlh+o7ZHZW3g3aYQcXNtxV/PrpW13qHAnXMse6xaXxFaAEDTAQgZU1l7c71Llc/NXmPqt7b12rtW1soUpuf6wspgZygFikuB4hzTcF8FXQZw9Nva//3/8mplyLl6Gvj33ZXLFGrLYDRoGhD2lGlZQTawa2nlcrsqwUntBHh2B9rf+Dc2GoASrWmZUg0iImo+TRpyAgMD4ePjg8TERHOo0el0OHDgAGbOnAkAiIiIQF5eHpKTkzFgwAAAwM6dO2E0GhEeHm6uefnll1FWVgaVyvT/oHfs2IGgoCC4u7ubaxITEzF37lzz++/YsQMRERG19mdnZwc7O7um3OSmJZNVDsnUxdHDNNWHe2fLwHEr3j0r99TUpeMA01QfnSJMU310vgt4enf9agPvBhammx6X6wF9gSnwVEyuHSpr3QJMIVJfWL1OXwB4dKmsLS8xBRuD3vTcoAeK9UCx6ZgwFOdV1hZkA8mra+/xzjnA8DdMj7WXgA/7mB7LVZZhSO1kCqQRMablpQWmIcwa9zw5mbanInQKYepRoTb9d0RERA0POQUFBTh79qz5eVpaGlJSUuDh4YGAgADMnTsXf//739G9e3cEBgbi1VdfhZ+fH8aOHQsAuOOOOzBy5Eg89dRT+Pjjj1FWVoZZs2bh0UcfhZ+fHwDgb3/7G15//XVMmzYNCxYswPHjx/Hhhx9i2bJl5vedM2cO7r33Xrz33nuIjo7GN998g8OHD1ucZk5tjFINKG8R/tz8gSGz67cu/zDg1aum4FR2UxjSFwKuVfYAOnoCQ1+qEpxu+ls1YOqLKh8by4CSPNNUofOdlY+Lc289HDhgCjDqQ9Pjkjzg7c6m4U+L4HTjb7dI4K65plohgPO7AWdv0x40B3cGIyKSJJkQDTttZ/fu3Rg2bFi1+ZMnT0Z8fDyEEFiyZAk++eQT5OXl4a677sLKlSvRo0flkEhOTg5mzZqFzZs3Qy6XY/z48Vi+fDmcnZ3NNUePHkVMTAwOHTqEdu3aYfbs2ViwYIHFe65btw6vvPIKLly4gO7du+Odd97BAw88UO9t0el0cHV1hVarhUajacg/A1HjGcqq70WqeOwWAHiHmOoKr5sOXK+pTl8IhD5kOuYIALR/AstusQfOIhDpgLeqhDSF2hR4KkJPt/uAgU+algkBZB41LXNqX7+9jEREzay+v98NDjlSwpBDkmE0mg5EvzkQlRaYHrt1Mp3BBpjORls7HijIrBx+q2rAVGDUB6bHVQORTG4KOhVhyNkb6DLUNMQGmAKR9pJpvrIVDwsTkc2r7+93mzq7ikiy5HLTAdhVD8qujWsHIGa/6XF5qekssvwsU+jJz6w8+BowhSBnb6Dwqukg8IIs05R51LRcoaoMOSVa4IMblyJwcAecfQAX78q/AUOAoJGm5UIAZUWmoTQiombCkEPUlintTENkFddqupl7J2DeH6YLUhZdM4WggqzKv759KmuLrpsOpjaWmcJRcS5w9VTl8tL8ypBTcQyR2sUyCLn4mkJVhwGVxydV7GzmcUNE1EAMOURUN4XSNETlUvslGuDZ1XSwdnHujRB0Y89QRSDqNKSytuDGZST0+cD1fOD6Wct1DZxWGXKKc4H377AcJqv616eXZdgiIrqBIYeImo5MVnl5g4oDqGvSrgew8JLlXiFzMMoC/MMrawuyTKf05100TTcbNB2Ifs/0uCgHWHWn5d6hqn/bB1le64mIJI0hh4hankxmuuijvcbywpU18ewOzPm9ynFDWUB+RmUw8uldWVuQBeRfMU01GfQUEP1P0+PC68DqkaaDqZ3a3fhb5XH7YMvjk4jI5jDkEFHrplDW/4KW7p2Bp3ZaBqKqf6te3bswG7j2h2mqSdgzwAPvmB4XXAU+vqv2QOTTC/Dre3vbSURNjiGHiKRD5WA6aLk+XP2ByVtMZ44VXrvx92rl8/ZVA9FVU0gqqOUGwOEzKkNOQbbpqtY1hSGn9oBf/8qrfwthum4Sb/FB1CwYcoiobbJzNt0WpD48ugDP7K0hEN147NOrsrbwqun0+Lx003Sz8JmVIacgG3ivh+nU/5oCUcBgoOtfTLVGo+kgbAd30yUDiKhODDlERHVR2df/DK52PYDnUmreO1R41XJPU+FV098SrWm6+Syzwc9WhpzCbOC9INP97Rw9qweiwLuB4GhTrdFgOkjbqb3p1h48/Z7aKIYcIqKmpFABHoGmqS5eIcD8tJrDUOFVIKDKTW2Lrpv+CoMp8BRmW65LJq8MOQXZwPJ+psdKe8tA5NjOdOuOios4GsqBrOOVNbxaNUkIQw4RkbXI5ZWn3Nd1Jpd3T+CVq6awU1Mg6lTl5q4leYDSASgvNp1+r71kmio4uFeGnMJs4JN7K5fZuVbZQ9QOCLof6Pe4aZm+EEheY9qzpawyqexN76fxrTxA3Gi80ceNGg6xkRUw5BAR2Qql2hQkNL63rvO6A3gl0xRKajqOqEP/ylp9oelK04VXAWM5UKo1TTnnTMurntVWlANsX1T7+1rcCDYPeKfK3iyFXZVAZAeEjAFG/N20zFAGfPu4ab7SwfRX5VD53DvEVF/hxMYby24srxq67DSAk+et/32ozWDIISKSKrWTabrV6fftugMvnDad6VWSVz0QeVe5u71CDYT+1bR3qLwEKCu5sbeoFCgrNl1wsUJ5qeX7GEpNU6nW9LzqzWHLioE/EmrvMWRsZcgxGoB1k2uv7TYcePy/lc/f7my671q1PU/2QIeBwMillbXbXzYFPXNtlbCl6QD0iKqsvXzEVCtTmI55kskBucL0V+VgOli9gvayaZhRdmN51UmhtLznXHkpAFnlung81W1hyCEiItOPqYO7aartAo0u3sBf/69+69P4Aq9etwxB5aWVzx3cK2sVamD0R9Xrym6EqaoHfRvLgU53WS6vGrqq3vRVCKA4D4AAoK3e4803iD3yBVCqq3l7/MMtQ843fzNdlLImPr2BGf+rfB4fDeSm1Vzr2Q2YnVz5/JNhQPYJy5qKcOTawXRhzAr/GQdcSbEMWBWTvRsw85fK2k0xpmBWUyhT2AFTt1bW7vwH8OehmtcrkwMPx5vmA8DBT2+sV24akjTX3Xjd8NdNoc9KGHKIiKh5KJSAwgWwc7l1ncoe6D+pfutU3vSDXJe5x27a81TxuNh0LFRVd801Dd+Z66qEMs9ulrUuvqZwJoRpT5F5MlgGuIqelfam5UaD6S8qbjx707FKwlh9G4TBNBnKLeeXaIHinJq3W19o+Tz3IpB9suZaxU0Hm2f8DpzfVXMtAKDK3qWLvwInNtReet+rt1hP85MJUXGL37ZHp9PB1dUVWq0WGo3G2u0QEVFbUTUcKVSV80sLTHurhPFGjaGyDjLL47FyL5rCWtWAVfFYJgf8+lXWZvxuGiKsWG6sEswAIPiBytq0/wG6K5brM1Z5PGh65TBa6o+mq4abl9/U8z3zm+Vil/X9/WbIYcghIiKyKfX9/eY5fURERCRJDDlEREQkSQw5REREJEkMOURERCRJDDlEREQkSQw5REREJEkMOURERCRJDDlEREQkSQw5REREJEkMOURERCRJDDlEREQkSQw5REREJEkMOURERCRJSms3YE0VN2DX6XRW7oSIiIjqq+J3u+J3vDZtOuTk5+cDAPz9/a3cCRERETVUfn4+XF1da10uE3XFIAkzGo24cuUKXFxcIJPJmnTdOp0O/v7+uHTpEjQaTZOu29qkvG0At8/WcftsG7fPtrXU9gkhkJ+fDz8/P8jltR9506b35MjlcnTs2LFZ30Oj0UjyP2RA2tsGcPtsHbfPtnH7bFtLbN+t9uBU4IHHREREJEkMOURERCRJDDnNxM7ODkuWLIGdnZ21W2lyUt42gNtn67h9to3bZ9ta2/a16QOPiYiISLq4J4eIiIgkiSGHiIiIJIkhh4iIiCSJIYeIiIgkiSGnEV577TXIZDKLKTg4+JavWbduHYKDg2Fvb49evXph27ZtLdRtwzV0++Lj46vV29vbt2DHDXP58mU8/vjj8PT0hIODA3r16oXDhw/f8jW7d+9G//79YWdnh27duiE+Pr5lmm2Ehm7f7t27q31+MpkMmZmZLdh1/XTu3LnGXmNiYmp9jS199xq6fbb23TMYDHj11VcRGBgIBwcHdO3aFW+++Wad9x+yle9fY7bPlr5/gOk2CnPnzkWnTp3g4OCAIUOG4NChQ7d8jTU/vzZ9xePb0bNnT/z888/m50pl7f+U+/btw2OPPYa4uDg8+OCD+OqrrzB27FgcOXIEoaGhLdFugzVk+wDT1S1TU1PNz5v6NhlNJTc3F3feeSeGDRuGH3/8Ee3bt8eZM2fg7u5e62vS0tIQHR2NGTNm4Msvv0RiYiKmT58OX19fREVFtWD3dWvM9lVITU21uEKpl5dXc7baKIcOHYLBYDA/P378OIYPH46HH364xnpb++41dPsA2/nuAcDbb7+NVatWYc2aNejZsycOHz6MqVOnwtXVFc8991yNr7Gl719jtq+CLXz/AGD69Ok4fvw4/vOf/8DPzw9r165FZGQkTp48iQ4dOlSrt/rnJ6jBlixZIvr06VPv+kceeURER0dbzAsPDxfPPPNME3fWNBq6fatXrxaurq7N1k9TWrBggbjrrrsa9Jr58+eLnj17WsybMGGCiIqKasrWmkRjtm/Xrl0CgMjNzW2epprRnDlzRNeuXYXRaKxxua19925W1/bZ0ndPCCGio6PFk08+aTHvoYceEhMnTqz1Nbb0/WvM9tnS96+oqEgoFAqxZcsWi/n9+/cXL7/8co2vsfbnx+GqRjpz5gz8/PzQpUsXTJw4Eenp6bXWJiUlITIy0mJeVFQUkpKSmrvNRmvI9gFAQUEBOnXqBH9/f4wZMwYnTpxooU4b5ocffsDAgQPx8MMPw8vLC/369cOnn356y9fY0ufXmO2r0LdvX/j6+mL48OH49ddfm7nT26fX67F27Vo8+eSTte69sKXP7mb12T7Adr57ADBkyBAkJibijz/+AAD8/vvv+OWXX3D//ffX+hpb+gwbs30VbOH7V15eDoPBUG1I1MHBAb/88kuNr7H258eQ0wjh4eGIj49HQkICVq1ahbS0NNx9993Iz8+vsT4zMxPe3t4W87y9vVvtmGtDty8oKAiff/45Nm3ahLVr18JoNGLIkCH4888/W7jzup0/fx6rVq1C9+7dsX37dsycORPPPfcc1qxZU+travv8dDodiouLm7vlBmnM9vn6+uLjjz/G+vXrsX79evj7+2Po0KE4cuRIC3becBs3bkReXh6mTJlSa42tffeqqs/22dJ3DwAWLlyIRx99FMHBwVCpVOjXrx/mzp2LiRMn1voaW/r+NWb7bOn75+LigoiICLz55pu4cuUKDAYD1q5di6SkJGRkZNT4Gqt/fi2yv0jicnNzhUajEZ999lmNy1Uqlfjqq68s5q1YsUJ4eXm1RHu3ra7tu5lerxddu3YVr7zySjN31nAqlUpERERYzJs9e7YYPHhwra/p3r27WLp0qcW8rVu3CgCiqKioWfpsrMZsX03uuece8fjjjzdla01uxIgR4sEHH7xljS1/9+qzfTdrzd89IYT4+uuvRceOHcXXX38tjh49Kr744gvh4eEh4uPja32NLX3/GrN9NWnN37+zZ8+Ke+65RwAQCoVCDBo0SEycOFEEBwfXWG/tz48HHjcBNzc39OjRA2fPnq1xuY+PD7KysizmZWVlwcfHpyXau211bd/NKv4fTH3rW5Kvry9CQkIs5t1xxx1Yv359ra+p7fPTaDRwcHBolj4bqzHbV5OwsLBadz+3BhcvXsTPP/+M77///pZ1tvrdq+/23aw1f/cA4MUXXzTv7QCAXr164eLFi4iLi8PkyZNrfI0tff8as301ac3fv65du2LPnj0oLCyETqeDr68vJkyYgC5dutRYb+3Pj8NVTaCgoADnzp2Dr69vjcsjIiKQmJhoMW/Hjh2IiIhoifZuW13bdzODwYBjx47Vu74l3XnnnRZnogDAH3/8gU6dOtX6Glv6/BqzfTVJSUlplZ9fhdWrV8PLywvR0dG3rLOlz66q+m7fzVrzdw8AioqKIJdb/uwoFAoYjcZaX2NLn2Fjtq8mrf37BwBOTk7w9fVFbm4utm/fjjFjxtRYZ/XPr9n3FUnQCy+8IHbv3i3S0tLEr7/+KiIjI0W7du1Edna2EEKIJ554QixcuNBc/+uvvwqlUin++c9/ilOnToklS5YIlUoljh07Zq1NuKWGbt/rr78utm/fLs6dOyeSk5PFo48+Kuzt7cWJEyestQm1OnjwoFAqleIf//iHOHPmjPjyyy+Fo6OjWLt2rblm4cKF4oknnjA/P3/+vHB0dBQvvviiOHXqlFixYoVQKBQiISHBGptwS43ZvmXLlomNGzeKM2fOiGPHjok5c+YIuVwufv75Z2tsQp0MBoMICAgQCxYsqLbM1r97QjRs+2zpuyeEEJMnTxYdOnQQW7ZsEWlpaeL7778X7dq1E/PnzzfX2PL3rzHbZ2vfv4SEBPHjjz+K8+fPi59++kn06dNHhIeHC71eL4RofZ8fQ04jTJgwQfj6+gq1Wi06dOggJkyYIM6ePWtefu+994rJkydbvOa7774TPXr0EGq1WvTs2VNs3bq1hbuuv4Zu39y5c0VAQIBQq9XC29tbPPDAA+LIkSNW6Lx+Nm/eLEJDQ4WdnZ0IDg4Wn3zyicXyyZMni3vvvddi3q5du0Tfvn2FWq0WXbp0EatXr265hhuoodv39ttvi65duwp7e3vh4eEhhg4dKnbu3NnCXdff9u3bBQCRmppabZmtf/eEaNj22dp3T6fTiTlz5oiAgABhb28vunTpIl5++WVRWlpqrrHl719jts/Wvn/ffvut6NKli1Cr1cLHx0fExMSIvLw88/LW9vnJhKjjUpNERERENojH5BAREZEkMeQQERGRJDHkEBERkSQx5BAREZEkMeQQERGRJDHkEBERkSQx5BAREZEkMeQQERGRJDHkEBERkSQx5BAREZEkMeQQERGRJDHkEBERkST9Pw5r+yjEEkIuAAAAAElFTkSuQmCC", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(df.x, df.y1, \"o\")\n", "plt.plot(df.x, result.init_fit, \"--\", label=\"initial fit\")\n", "plt.plot(df.x, result.best_fit, \"-\", label=\"best fit\")\n", "plt.legend()" ] }, { "cell_type": "code", "execution_count": 46, "id": "dadca94d", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " 99.73% 95.45% 68.27% _BEST_ 68.27% 95.45% 99.73%\n", " SB:-85235.83517-8376.49744-2895.6555126638.93141+2558.68054+5999.21905+12360.51318\n", " SA:-6192.83614-2734.32819-1098.2423854043.38116+1113.16062+2829.52103+6725.35644\n", " pK: -0.98138 -0.40196 -0.15948 8.06960 +0.16277 +0.42592 +1.50919\n" ] } ], "source": [ "print(result.ci_report())" ] }, { "cell_type": "markdown", "id": "eab90717", "metadata": {}, "source": [ "which is faster but still I failed to find the way to global fitting." ] }, { "cell_type": "code", "execution_count": 47, "id": "b3062616", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "parameter names: ['ds1_S0', 'ds1_S1', 'ds1_K']\n", "parameter names: ['ds2_S0', 'ds2_S1', 'ds2_K']\n", "independent variables: ['x']\n", "independent variables: ['x']\n", "[[Model]]\n", " Model(tit_pH, prefix='ds1_')\n", "[[Fit Statistics]]\n", " # fitting method = leastsq\n", " # function evals = 25\n", " # data points = 7\n", " # variables = 3\n", " chi-square = 12308015.2\n", " reduced chi-square = 3077003.79\n", " Akaike info crit = 106.658958\n", " Bayesian info crit = 106.496688\n", " R-squared = 0.97973543\n", "[[Variables]]\n", " ds1_S0: 26638.8440 +/- 2455.92762 (9.22%) (init = 29657)\n", " ds1_S1: 54043.3607 +/- 979.995185 (1.81%) (init = 51205)\n", " ds1_K: 8.06961042 +/- 0.14940740 (1.85%) (init = 7)\n", "[[Correlations]] (unreported correlations are < 0.100)\n", " C(ds1_S0, ds1_K) = -0.7750\n", " C(ds1_S1, ds1_K) = -0.4552\n", " C(ds1_S0, ds1_S1) = +0.2046\n", "[[Model]]\n", " Model(tit_pH, prefix='ds2_')\n", "[[Fit Statistics]]\n", " # fitting method = leastsq\n", " # function evals = 33\n", " # data points = 7\n", " # variables = 3\n", " chi-square = 159980.530\n", " reduced chi-square = 39995.1326\n", " Akaike info crit = 76.2582808\n", " Bayesian info crit = 76.0960112\n", " R-squared = 0.99963719\n", "[[Variables]]\n", " ds2_S0: 25135.9942 +/- 282.133911 (1.12%) (init = 29657)\n", " ds2_S1: 1485.53168 +/- 111.549888 (7.51%) (init = 51205)\n", " ds2_K: 8.07721983 +/- 0.01980096 (0.25%) (init = 7)\n", "[[Correlations]] (unreported correlations are < 0.100)\n", " C(ds2_S0, ds2_K) = +0.7768\n", " C(ds2_S1, ds2_K) = +0.4545\n", " C(ds2_S0, ds2_S1) = +0.2051\n" ] } ], "source": [ "def tit_pH(x, S0, S1, K):\n", " return (S0 + S1 * 10 ** (K - x)) / (1 + 10 ** (K - x))\n", "\n", "\n", "tit_model1 = lmfit.Model(tit_pH, prefix=\"ds1_\")\n", "tit_model2 = lmfit.Model(tit_pH, prefix=\"ds2_\")\n", "print(f\"parameter names: {tit_model1.param_names}\")\n", "print(f\"parameter names: {tit_model2.param_names}\")\n", "print(f\"independent variables: {tit_model1.independent_vars}\")\n", "print(f\"independent variables: {tit_model2.independent_vars}\")\n", "\n", "tit_model1.set_param_hint(\"K\", value=7.0, min=2.0, max=12.0)\n", "tit_model1.set_param_hint(\"S0\", value=df.y1[0], min=0.0)\n", "tit_model1.set_param_hint(\"S1\", value=df.y1.iloc[-1], min=0.0)\n", "tit_model2.set_param_hint(\"K\", value=7.0, min=2.0, max=12.0)\n", "tit_model2.set_param_hint(\"S0\", value=df.y1[0], min=0.0)\n", "tit_model2.set_param_hint(\"S1\", value=df.y1.iloc[-1], min=0.0)\n", "pars1 = tit_model1.make_params()\n", "pars2 = tit_model2.make_params()\n", "# gmodel = tit_model1 + tit_model2\n", "# result = gmodel.fit(df.y1 + df.y2, pars, x=df.x)\n", "res1 = tit_model1.fit(df.y1, pars1, x=df.x)\n", "res2 = tit_model2.fit(df.y2, pars2, x=df.x)\n", "print(res1.fit_report())\n", "print(res2.fit_report())" ] }, { "cell_type": "code", "execution_count": 48, "id": "1510a45d", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 48, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "xfit_delta = (df.x.max() - df.x.min()) / 100\n", "xfit = np.arange(df.x.min() - xfit_delta, df.x.max() + xfit_delta, xfit_delta)\n", "dely1 = res1.eval_uncertainty(x=xfit) * 1\n", "dely2 = res2.eval_uncertainty(x=xfit) * 1\n", "best_fit1 = res1.eval(x=xfit)\n", "best_fit2 = res2.eval(x=xfit)\n", "plt.plot(df.x, df.y1, \"o\")\n", "plt.plot(df.x, df.y2, \"o\")\n", "plt.plot(xfit, best_fit1, \"-.\")\n", "plt.plot(xfit, best_fit2, \"-.\")\n", "plt.fill_between(xfit, best_fit1 - dely1, best_fit1 + dely1, color=\"#FEDCBA\", alpha=0.5)\n", "plt.fill_between(xfit, best_fit2 - dely2, best_fit2 + dely2, color=\"#FEDCBA\", alpha=0.5)" ] }, { "cell_type": "markdown", "id": "f057dea2", "metadata": {}, "source": [ "Please mind the difference in the uncertainty between the 2 label\n", "blocks." ] }, { "cell_type": "code", "execution_count": 49, "id": "228486fc", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[[Model]]\n", " Model(tit_pH2)\n", "[[Fit Statistics]]\n", " # fitting method = leastsq\n", " # function evals = 37\n", " # data points = 14\n", " # variables = 5\n", " chi-square = 12471473.3\n", " reduced chi-square = 1385719.25\n", " Akaike info crit = 201.798560\n", " Bayesian info crit = 204.993846\n", " R-squared = 0.99794717\n", "[[Variables]]\n", " S0_1: 26601.3458 +/- 1425.69913 (5.36%) (init = 29657)\n", " S0_2: 25084.4189 +/- 1337.07982 (5.33%) (init = 22885)\n", " S1_1: 54034.5806 +/- 627.642479 (1.16%) (init = 51205)\n", " S1_2: 1473.57871 +/- 616.944649 (41.87%) (init = 1358)\n", " K: 8.07255029 +/- 0.07600777 (0.94%) (init = 7)\n", "[[Correlations]] (unreported correlations are < 0.100)\n", " C(S0_1, K) = -0.6816\n", " C(S0_2, K) = +0.6255\n", " C(S0_1, S0_2) = -0.4264\n", " C(S1_1, K) = -0.3611\n", " C(S1_2, K) = +0.3161\n", " C(S0_2, S1_1) = -0.2259\n", " C(S0_1, S1_2) = -0.2155\n", " C(S1_1, S1_2) = -0.1141\n" ] } ], "source": [ "def tit_pH2(x, S0_1, S0_2, S1_1, S1_2, K):\n", " y1 = (S0_1 + S1_1 * 10 ** (K - x)) / (1 + 10 ** (K - x))\n", " y2 = (S0_2 + S1_2 * 10 ** (K - x)) / (1 + 10 ** (K - x))\n", " # return y1, y2\n", " return np.r_[y1, y2]\n", "\n", "\n", "tit_model = lmfit.Model(tit_pH2)\n", "tit_model.set_param_hint(\"K\", value=7.0, min=2.0, max=12.0)\n", "tit_model.set_param_hint(\"S0_1\", value=df.y1[0], min=0.0)\n", "tit_model.set_param_hint(\"S0_2\", value=df.y2[0], min=0.0)\n", "tit_model.set_param_hint(\"S1_1\", value=df.y1.iloc[-1], min=0.0)\n", "tit_model.set_param_hint(\"S1_2\", value=df.y2.iloc[-1], min=0.0)\n", "pars = tit_model.make_params()\n", "# res = tit_model.fit([df.y1, df.y2], pars, x=df.x)\n", "res = tit_model.fit(np.r_[df.y1, df.y2], pars, x=df.x)\n", "print(res.fit_report())" ] }, { "cell_type": "code", "execution_count": 50, "id": "31fec657", "metadata": {}, "outputs": [], "source": [ "dely = res.eval_uncertainty(x=xfit)\n", "# res.plot() # this return error because of the global fit" ] }, { "cell_type": "code", "execution_count": 51, "id": "cbf13968", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " 99.73% 95.45% 68.27% _BEST_ 68.27% 95.45% 99.73%\n", " SA:2338.404511.625450.156052.536642.137512.329321.96\n", " SB:33406.9634609.8235170.9935544.4435920.0736492.8937756.24\n", " pK: 6.47 6.60 6.66 6.70 6.74 6.80 6.93\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def fit_pH(fp):\n", " df = pd.read_csv(fp)\n", "\n", " def tit_pH(x, SA, SB, pK):\n", " return (SB + SA * 10 ** (pK - x)) / (1 + 10 ** (pK - x))\n", "\n", " mod = lmfit.Model(tit_pH)\n", " pars = mod.make_params(SA=10000, SB=7e3, pK=7)\n", " result = mod.fit(df.y2, pars, x=df.x)\n", " return result, df.y2, df.x, mod\n", "\n", "\n", "# r,y,x,model = fit_pH(\"/home/dati/ibf/IBF/Database/Random mutag results/Liasan-analyses/2016-05-19/2014-02-20/pH/dat/C12.dat\")\n", "r, y, x, model = fit_pH(\"../../tests/data/H04.dat\")\n", "xfit = np.linspace(x.min(), x.max(), 50)\n", "dely = r.eval_uncertainty(x=xfit) * 1\n", "best_fit = r.eval(x=xfit)\n", "plt.plot(x, y, \"o\")\n", "plt.plot(xfit, best_fit, \"-.\")\n", "plt.fill_between(xfit, best_fit - dely, best_fit + dely, color=\"#FEDCBA\", alpha=0.5)\n", "r.conf_interval(sigmas=[2])\n", "print(r.ci_report(with_offset=False, ndigits=2))" ] }, { "cell_type": "code", "execution_count": 52, "id": "3e8ce4ca", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "g = r.plot()" ] }, { "cell_type": "code", "execution_count": 53, "id": "8f15e5a2", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " 99.73% 95.45% 68.27% _BEST_ 68.27% 95.45% 99.73%\n", " SA:-3714.13150-1540.91238-602.378536052.53269+589.59734+1459.78928+3269.42485\n", " SB:-2137.47758-934.62678-373.4502035544.44185+375.62906+948.44608+2211.79840\n", " pK: -0.23398 -0.10021 -0.03976 6.70123 +0.03971 +0.09989 +0.23227\n" ] } ], "source": [ "print(r.ci_report())" ] }, { "cell_type": "code", "execution_count": 54, "id": "4ca8a7fb", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "The chain is shorter than 50 times the integrated autocorrelation time for 4 parameter(s). Use this estimate with caution and run a longer chain!\n", "N/50 = 40;\n", "tau: [44.76109263 47.08681846 42.75125412 89.09478397]\n", "[[Fit Statistics]]\n", " # fitting method = emcee\n", " # function evals = 200000\n", " # data points = 7\n", " # variables = 4\n", " chi-square = 3.40256279\n", " reduced chi-square = 1.13418760\n", " Akaike info crit = 2.95033132\n", " Bayesian info crit = 2.73397192\n", " R-squared = 1.00000000\n", "[[Variables]]\n", " SA: 6045.63837 +/- 595.804798 (9.86%) (init = 6052.533)\n", " SB: 35540.8754 +/- 365.813058 (1.03%) (init = 35544.44)\n", " pK: 6.70082176 +/- 0.03946928 (0.59%) (init = 6.701226)\n", " __lnsigma: 6.29181634 +/- 0.38021005 (6.04%) (init = -2.302585)\n", "[[Correlations]] (unreported correlations are < 0.100)\n", " C(SA, pK) = +0.7193\n", " C(SB, pK) = +0.5145\n", " C(SA, SB) = +0.2075\n" ] } ], "source": [ "emcee_kws = dict(steps=2000, burn=500, thin=2, is_weighted=False, progress=False)\n", "emcee_params = r.params.copy()\n", "emcee_params.add(\"__lnsigma\", value=np.log(0.1), min=np.log(0.001), max=np.log(2000.0))\n", "result_emcee = model.fit(\n", " data=y,\n", " x=x,\n", " params=emcee_params,\n", " method=\"emcee\",\n", " nan_policy=\"omit\",\n", " fit_kws=emcee_kws,\n", ")\n", "\n", "lmfit.report_fit(result_emcee)" ] }, { "cell_type": "code", "execution_count": 55, "id": "f9a62395", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 55, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "result_emcee.plot_fit()" ] }, { "cell_type": "code", "execution_count": 56, "id": "5ab6422d", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "WARNING:root:Pandas support in corner is deprecated; use ArviZ directly\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "emcee_corner = corner.corner(\n", " result_emcee.flatchain,\n", " labels=result_emcee.var_names,\n", " truths=list(result_emcee.params.valuesdict().values()),\n", ")" ] }, { "cell_type": "code", "execution_count": 57, "id": "45de52a8", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", "Maximum Likelihood Estimation (MLE):\n", "----------------------------------\n", "SA: 6081.043\n", "SB: 35529.945\n", "pK: 6.703\n", "__lnsigma: 5.930\n", "\n", "\n", "1 sigma spread = 0.040\n", "2 sigma spread = 0.096\n" ] } ], "source": [ "highest_prob = np.argmax(result_emcee.lnprob)\n", "hp_loc = np.unravel_index(highest_prob, result_emcee.lnprob.shape)\n", "mle_soln = result_emcee.chain[hp_loc]\n", "print(\"\\nMaximum Likelihood Estimation (MLE):\")\n", "print(\"----------------------------------\")\n", "for ix, param in enumerate(emcee_params):\n", " print(f\"{param}: {mle_soln[ix]:.3f}\")\n", "\n", "quantiles = np.percentile(result_emcee.flatchain[\"pK\"], [2.28, 15.9, 50, 84.2, 97.7])\n", "print(f\"\\n\\n1 sigma spread = {0.5 * (quantiles[3] - quantiles[1]):.3f}\")\n", "print(f\"2 sigma spread = {0.5 * (quantiles[4] - quantiles[0]):.3f}\")" ] }, { "cell_type": "markdown", "id": "9ac0034b", "metadata": {}, "source": [ "## Model: example 2P Cl–ratio" ] }, { "cell_type": "code", "execution_count": 60, "id": "e869de94", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " 99.73% 95.45% 68.27% _BEST_ 68.27% 95.45% 99.73%\n", " R0: 0.49 0.58 0.60 0.61 0.62 0.64 0.73\n", " R1: -0.30 -0.01 0.03 0.04 0.06 0.09 0.20\n", " Kd: 2.95 10.09 12.51 13.66 14.91 18.49 59.97\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def fit_Rcl(fp):\n", " df = pd.read_table(fp)\n", "\n", " def R_Cl(cl, R0, R1, Kd):\n", " return (R1 * cl + R0 * Kd) / (Kd + cl)\n", "\n", " mod = lmfit.Model(R_Cl)\n", " pars = mod.make_params(R0=0.8, R1=0.05, Kd=10)\n", " result = mod.fit(df.R, pars, cl=df.cl)\n", " return result, df.R, df.cl, mod\n", "\n", "\n", "r, y, x, model = fit_Rcl(\"../../tests/data/ratio2P.txt\")\n", "xfit = np.linspace(x.min(), x.max(), 50)\n", "dely = r.eval_uncertainty(cl=xfit) * 3\n", "best_fit = r.eval(cl=xfit)\n", "plt.plot(x, y, \"o\")\n", "plt.grid()\n", "plt.plot(xfit, best_fit, \"-.\")\n", "plt.fill_between(xfit, best_fit - dely, best_fit + dely, color=\"#FEDCBA\", alpha=0.5)\n", "r.conf_interval(sigmas=[2])\n", "print(r.ci_report(with_offset=False, ndigits=2))" ] }, { "cell_type": "code", "execution_count": 67, "id": "80b4c310", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "The chain is shorter than 50 times the integrated autocorrelation time for 4 parameter(s). Use this estimate with caution and run a longer chain!\n", "N/50 = 20;\n", "tau: [39.14220672 38.36658557 38.7322156 67.05237463]\n", "[[Fit Statistics]]\n", " # fitting method = emcee\n", " # function evals = 100000\n", " # data points = 5\n", " # variables = 4\n", " chi-square = 1.08017724\n", " reduced chi-square = 1.08017724\n", " Akaike info crit = 0.33843612\n", " Bayesian info crit = -1.22381223\n", " R-squared = -6.60071574\n", "[[Variables]]\n", " R0: 0.60626860 +/- 0.00979297 (1.62%) (init = 0.6071065)\n", " R1: 0.04307811 +/- 0.01548680 (35.95%) (init = 0.04390399)\n", " Kd: 13.7802460 +/- 1.41767925 (10.29%) (init = 13.66125)\n", " __lnsigma: -4.76389554 +/- 0.79262984 (16.64%) (init = -2.302585)\n", "[[Correlations]] (unreported correlations are < 0.100)\n", " C(R1, Kd) = -0.8461\n", " C(R0, Kd) = -0.5866\n", " C(R0, R1) = +0.4901\n", " C(Kd, __lnsigma) = +0.3430\n", " C(R1, __lnsigma) = -0.3278\n", " C(R0, __lnsigma) = -0.2640\n" ] } ], "source": [ "emcee_kws = dict(is_weighted=False, progress=False)\n", "emcee_params = r.params.copy()\n", "emcee_params.add(\n", " \"__lnsigma\", value=np.log(0.1), min=np.log(0.000001), max=np.log(2000.0)\n", ")\n", "result_emcee = model.fit(\n", " data=y,\n", " cl=x,\n", " params=emcee_params,\n", " method=\"emcee\",\n", " nan_policy=\"omit\",\n", " fit_kws=emcee_kws,\n", ")\n", "\n", "lmfit.report_fit(result_emcee)" ] }, { "cell_type": "code", "execution_count": 68, "id": "c32dcf51", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "WARNING:root:Pandas support in corner is deprecated; use ArviZ directly\n", "WARNING:root:Too few points to create valid contours\n", "WARNING:root:Too few points to create valid contours\n", "WARNING:root:Too few points to create valid contours\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "emcee_corner = corner.corner(\n", " result_emcee.flatchain,\n", " labels=result_emcee.var_names,\n", " truths=list(result_emcee.params.valuesdict().values()),\n", ")" ] }, { "cell_type": "code", "execution_count": 69, "id": "3e08fd54", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", "Maximum Likelihood Estimation (MLE):\n", "----------------------------------\n", "R0: 0.607\n", "R1: 0.044\n", "Kd: 13.649\n", "__lnsigma: -5.596\n", "\n", "\n", "1 sigma spread = 1.421\n", "2 sigma spread = 7.719\n" ] } ], "source": [ "highest_prob = np.argmax(result_emcee.lnprob)\n", "hp_loc = np.unravel_index(highest_prob, result_emcee.lnprob.shape)\n", "mle_soln = result_emcee.chain[hp_loc]\n", "print(\"\\nMaximum Likelihood Estimation (MLE):\")\n", "print(\"----------------------------------\")\n", "for ix, param in enumerate(emcee_params):\n", " print(f\"{param}: {mle_soln[ix]:.3f}\")\n", "\n", "quantiles = np.percentile(result_emcee.flatchain[\"Kd\"], [2.28, 15.9, 50, 84.2, 97.7])\n", "print(f\"\\n\\n1 sigma spread = {0.5 * (quantiles[3] - quantiles[1]):.3f}\")\n", "print(f\"2 sigma spread = {0.5 * (quantiles[4] - quantiles[0]):.3f}\")" ] } ], "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": "3.11.3" } }, "nbformat": 4, "nbformat_minor": 5 }