{ "cells": [ { "cell_type": "markdown", "id": "87d65243-708d-4861-9195-16ecb67c7c28", "metadata": {}, "source": [ "# Levenberg Marquardt Fitting\n", "\n", "\n", "## Conventions\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" ] }, { "cell_type": "code", "execution_count": 1, "id": "3e7538f5", "metadata": {}, "outputs": [], "source": [ "import arviz as az\n", "import corner\n", "import lmfit\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "import pandas as pd\n", "import scipy\n", "import seaborn as sb\n", "\n", "from clophfit.binding.fitting import Dataset, fit_binding_glob\n", "from clophfit.binding.plotting import plot_emcee\n", "\n", "%load_ext autoreload\n", "%autoreload 2" ] }, { "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(data=df, x=\"cl\", y=\"F\", hue=df.cl, palette=\"crest\", s=200)" ] }, { "cell_type": "markdown", "id": "d17c0efd", "metadata": {}, "source": [ "In general we can use either `lmfit.minimize() -> res` or `lmfit.Minimizer -> mini`." ] }, { "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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", 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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", "res = lmfit.minimize(residual, params, args=(df.cl, df.F))\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(res.params, xfit)\n", "print(lmfit.fit_report(res.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": [ "mini = lmfit.Minimizer(residual, params, fcn_args=(df.cl, df.F))\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": "markdown", "id": "ee354c84", "metadata": {}, "source": [ "The plots shown below, akin to the examples provided in [lmfit documentation](https://lmfit.github.io/lmfit-py/examples/example_confidence_interval.html#sphx-glr-examples-example-confidence-interval-py), are computationally intensive. They operate under the assumption of a parabolic parameter space. However, it's worth noting that these plots provide similar information to that yielded by a Monte Carlo simulation." ] }, { "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:-217226.68396-94491.4465413408867.78780+95008.79622+219988.97145\n", " S1:-270193.31665-116252.05686563537.06417+115024.41865+263650.82003\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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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "lmfit.report_fit(res.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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", "text/plain": [ "
" ] }, "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": "0ae85456", "metadata": {}, "source": [ "### Using clophfit.binding" ] }, { "cell_type": "code", "execution_count": 9, "id": "39adb440", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "ds = Dataset(df[\"cl\"].to_numpy(), df[\"F\"].to_numpy())\n", "f_res = fit_binding_glob(ds, weighting=True)\n", "\n", "f_res.figure" ] }, { "cell_type": "code", "execution_count": 10, "id": "c789595b", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "100%|████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████| 400/400 [00:04<00:00, 89.58it/s]\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "The chain is shorter than 50 times the integrated autocorrelation time for 3 parameter(s). Use this estimate with caution and run a longer chain!\n", "N/50 = 8;\n", "tau: [23.92586381 44.3333056 43.89306553]\n", "[49.5, 61.5]\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "emcee_res = f_res.mini.emcee(steps=400, burn=50, workers=8)\n", "print(plot_emcee(emcee_res)[1])" ] }, { "cell_type": "markdown", "id": "08fcc9a0", "metadata": {}, "source": [ "## Fit titration with multiple datasets\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": 11, "id": "2b10bf4b", "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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xy1y2
09.03000029657.022885.0
18.37333335200.016930.0
27.75000044901.09218.0
37.07333353063.03758.0
46.46000054202.02101.0
55.81333354851.01542.0
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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": 11, "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": 12, "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": 13, "id": "4f2de051", "metadata": {}, "outputs": [ { "data": { "text/latex": [ "$\\displaystyle 1 - \\frac{x}{K \\left(1 + \\frac{x}{K}\\right)}$" ], "text/plain": [ "1 - x/(K*(1 + x/K))" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "x, S0, S1, K = sympy.symbols(\"x S0 S1 K\")\n", "f = S0 + (S1 - S0) * x / K / (1 + x / K)\n", "sympy.diff(f, S0)" ] }, { "cell_type": "code", "execution_count": 14, "id": "6481f354", "metadata": {}, "outputs": [ { "data": { "text/latex": [ "$\\displaystyle \\frac{x}{K \\left(1 + \\frac{x}{K}\\right)}$" ], "text/plain": [ "x/(K*(1 + x/K))" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" } ], "source": [ "sympy.diff(f, S1)" ] }, { "cell_type": "code", "execution_count": 15, "id": "4d8dbe10", "metadata": {}, "outputs": [ { "data": { "text/latex": [ "$\\displaystyle - \\frac{x \\left(- S_{0} + S_{1}\\right)}{K^{2} \\cdot \\left(1 + \\frac{x}{K}\\right)} + \\frac{x^{2} \\left(- S_{0} + S_{1}\\right)}{K^{3} \\left(1 + \\frac{x}{K}\\right)^{2}}$" ], "text/plain": [ "-x*(-S0 + S1)/(K**2*(1 + x/K)) + x**2*(-S0 + S1)/(K**3*(1 + x/K)**2)" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" } ], "source": [ "sympy.diff(f, K)" ] }, { "cell_type": "code", "execution_count": 16, "id": "e7922f8f", "metadata": {}, "outputs": [ { "data": { "text/latex": [ "$\\displaystyle - \\frac{10^{K - x}}{10^{K - x} + 1} + 1$" ], "text/plain": [ "-10**(K - x)/(10**(K - x) + 1) + 1" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# if is_ph:\n", "f = S0 + (S1 - S0) * 10 ** (K - x) / (1 + 10 ** (K - x))\n", "sympy.diff(f, S0)" ] }, { "cell_type": "code", "execution_count": 17, "id": "4ae3ec03", "metadata": {}, "outputs": [ { "data": { "text/latex": [ "$\\displaystyle \\frac{10^{K - x}}{10^{K - x} + 1}$" ], "text/plain": [ "10**(K - x)/(10**(K - x) + 1)" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" } ], "source": [ "sympy.diff(f, S1)" ] }, { "cell_type": "code", "execution_count": 18, "id": "304bb369", "metadata": {}, "outputs": [ { "data": { "text/latex": [ "$\\displaystyle \\frac{10^{K - x} \\left(- S_{0} + S_{1}\\right) \\log{\\left(10 \\right)}}{10^{K - x} + 1} - \\frac{10^{2 K - 2 x} \\left(- S_{0} + S_{1}\\right) \\log{\\left(10 \\right)}}{\\left(10^{K - x} + 1\\right)^{2}}$" ], "text/plain": [ "10**(K - x)*(-S0 + S1)*log(10)/(10**(K - x) + 1) - 10**(2*K - 2*x)*(-S0 + S1)*log(10)/(10**(K - x) + 1)**2" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" } ], "source": [ "sympy.diff(f, K)" ] }, { "cell_type": "code", "execution_count": 19, "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" ] } ], "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", "\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", "mini = lmfit.Minimizer(residual, params, fcn_args=(df.x,), fcn_kws={\"data\": df.y1})\n", "res = mini.leastsq(Dfun=dfunc, col_deriv=True, ftol=1e-8)\n", "print(lmfit.report_fit(res))\n", "ci = lmfit.conf_interval(mini, res, sigmas=[1, 2, 3])" ] }, { "cell_type": "code", "execution_count": 20, "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": "6935d719", "metadata": {}, "source": [ "### using lmfit with np.r_ trick" ] }, { "cell_type": "code", "execution_count": 21, "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": [ "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": 22, "id": "c0ca720c", "metadata": {}, "outputs": [ { "data": { "image/png": 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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": 23, "id": "337512a3", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "'S0'" ] }, "execution_count": 23, "metadata": {}, "output_type": "execute_result" } ], "source": [ "\"S0_1\".split(\"_\")[0]" ] }, { "cell_type": "code", "execution_count": 24, "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": 25, "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": 26, "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": 26, "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": 27, "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": 28, "id": "53b39037", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, 'pK1')" ] }, "execution_count": 28, "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": 29, "id": "9f450027", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "943.8323579301886\n" ] }, { "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\")\n", "std = gres.residual.std()\n", "for i in range(-3, 4):\n", " plt.hlines(i * std, 5, 9, alpha=0.4)\n", "print(std)" ] }, { "cell_type": "markdown", "id": "ffe020de", "metadata": {}, "source": [ "This next block comes from:\n", "" ] }, { "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": 30, "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": 31, "id": "b59e2a14", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 31, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "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": 32, "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": 33, "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": 34, "id": "1510a45d", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 34, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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KQyLuzB5MRHeEoZ1bhloFINeOlqF9UK/m6eLGGOY+f5Eztb2FoMvPtEETOTLvEI7MPzS1uWsHF20Kd1Hnte12Ni/1hcCTjuVW4BHpLdRd1Qn7I+Rovxzp71KtQ83hJxlzAlAyBvEIJCI7haAmzcHHdrVoBdrzOnxeu5k3tr3Hm1tX8fbW96mK1bQqMyRYwJH5h/LFgsM4LHcivo5aaVKBJwYknR3WvelO4PGmq0tLpIcp5HRCd4cc7Zcj0qI1KBHbERwSUYg3QDy6o4UInEYgu2X4ce1Ry0/SJFkb/pzlW1byWsW7vLv9Q+ImnjofcPm5/4ifM7HFFhkdfIAdLTwGcDUFHn+mE3h6we7qIgONQk4ndGfISSQNR/3q+XaXk29em+PVK49T15UMWKZ5TExzt1ciCrEGpwXINLf+4AQd273Hwac+3sCbW1fxSsUKXip/m+poDS/P/jMBt7Op1xMbX6AuXs8JRUcwyJ/dUYVbd2m5fE7Y8WU4g5Z7+RR+kf5CA497mPbLEdk9y7J3bMLZgkkmmkJPxGntidU7LT+JqDM7rMVmntju3XZ1Bd0BjimczjGF0/mJMWyqL0sFHIAHPv0nn9ZsIN0d5JSmTUrbqfCOhQhN0qlPbQXUbQFPEBPIAl9IA5ZFegmFnG6i/XJE9pxlu8AOOBtyNjEmuWOMT6wRYnXO1imxhh2LJ9pupzupg9BjWRZDWwxCTpgEpw09jufL3uCLhYeljv/ls6d4peJtThp8NLOKjiBtpw1TseymfbNwBmbHG6C6DlzlGF9oR3fWXow1EpG9o5DTTbRfjsi+ZVm2E3o8AWj6x8YkYk7QiTc6rT3Rutahx+XZbUuPy3Ixb/RpzBt9WqvjT216kQ+qP2HZlpX8YtV9zCqayalDj+Ow3Im7LkJou8AO7ujOatgOjZXO1hKBbLXuiPQQjcnp5jE5ZdWNHe6XozE5IvuOaW5RiTVAtNZ5TsYB44zlcXk6PaZnQ10pize/wpObXmR9XUnqeFEgj1OHHsfpw2ZRGMhr/wLJRNPMsqRzX38m+LPAE9TYHZG91Nnv7y61o1533XVYltXqMW7cjj1lGhsbmT9/Prm5uaSnp3PGGWdQXt567YoNGzYwd+5cgsEg+fn5XHHFFcTj8VZlXnzxRQ499FB8Ph9jxoxh0aJFu9TlrrvuYsSIEfj9fmbMmMGbb77ZlY/S7Vy2xbWnOBsZtrcn9rWnjFfAEdmHLNuF5U3HSsvDyh4JuQdA9ghIK3DG/SRiTviJ1jXNlmr/v/GGpRXxnbFf5Ylj7+LPR/2KrwyfTYY7SGnDFu796BHmPPddvv/mDbxU/hYJk9j1ArYLPEFnrR1wxu1UfgZVn2Maq5zuNxHpVl3uLJ4wYQKlpaWpx6uvvpo6d9lll/Hkk0/y2GOP8dJLL1FSUsLpp5+eOp9IJJg7dy7RaJRly5bx4IMPsmjRIq655ppUmXXr1jF37lyOPfZYVq5cyYIFC7jwwgtZsmRJqswjjzzCwoULufbaa3nnnXeYPHkys2fPpqKiYk9/D91izsQi7vnGoRRmtu6SKsz0a/q4yH5guTxYvhBWRiHkjIGc0ZA51JkNZZJO2InWdhh4LMticvaB/PTgi1l64gPceMhlTMudQJIkL5e/zSVv/oKTnvsu93/8D+rjbYyxsywnYPkynAHLkTBUrYdtn2DqtzpdbiLSLbrUXXXdddfx+OOPs3Llyl3OVVdXk5eXx1//+lfOPPNMANasWcNBBx3E8uXLOfzww3nmmWc4+eSTKSkpoaCgAIB7772XK6+8ki1btuD1ernyyit5+umnef/991PXPvvss6mqqmLx4sUAzJgxg8MOO4w777wTgGQyydChQ7nkkku46qqrOv3hteKxyMBkmsfOROsgUgPRGmcBQwsniNie3XZpravdzD/WL+GJjS9QFash2xviP7P+0PEig6kKJHdMk3f5IJAD/iysnWaZiUjbuqW7CuDjjz+muLiYUaNGcc4557BhwwYAVqxYQSwWY9asWamy48aNY9iwYSxfvhyA5cuXM2nSpFTAAZg9ezbhcJgPPvggVablNZrLNF8jGo2yYsWKVmVs22bWrFmpMr2Ny7aYOTqXU6cMZuboXAUckR5mWRaWy4sVyMbKGga5YyFrmDNmxiQhVusMZE7G223hGZk+mMsnnM+zJ9zPz6dcyiXjzkkFnKRJcu1/7+S1indp878jU4Oo05371ZTC9k8w4c2YWEM3fnKRgaVLs6tmzJjBokWLOPDAAyktLeX666/n6KOP5v3336esrAyv10tWVlar9xQUFFBWVgZAWVlZq4DTfL75XEdlwuEwDQ0NVFZWkkgk2iyzZs2aDusfiUSIRCKp1+FwuPMfXkT6LcvlgUA2BLIxiajTutNY1RR0Es7AYZe3zVlaPpeXU4ce1+rYy+Vv888Nz/FsyTL+M+sPpHuC7dzYcqahu3xOy1L9FmiowgQyIZALbr8GKYvshS6FnJNOOin188EHH8yMGTMYPnw4jz76KIFAoIN39g433ngj119/fU9XQ0R6McvlhWAuJpDjzNRqGXjACSS2u8PurHGZI/nGyFPI8KSlAo4xhmdLl3FMwXS8O+991bzIoO1xwk7dNmioAn8mJpgL7oDCjsge2KtVqrKyshg7diyffPIJhYWFRKNRqqqqWpUpLy+nsLAQgMLCwl1mWzW/3l2ZUChEIBBg0KBBuFyuNss0X6M9V199NdXV1anHxo0bu/yZRWRgsCwLyxPESi9wBi1nDXemgSfjzmDleGO7XVmFgTx+NPECLj7w7NSxN7a+x+UrbuFLz3+Xhz57koZ4ZNc3Nocdb5oTpOq3wfbPoEbdWCJ7Yq9CTm1tLZ9++ilFRUVMnToVj8fD0qVLU+fXrl3Lhg0bmDlzJgAzZ85k1apVrWZBPfvss4RCIcaPH58q0/IazWWar+H1epk6dWqrMslkkqVLl6bKtMfn8xEKhVo9RER2x7JdWP4syBzuzNBKL3S6rmJ1O7q0dqMh0UiBP5eKxu3c/MH9fOn57/Lnz54g0rwPVqsbWjs2ArVdTsvO9s+cMTttzeASkTZ1aXbV5ZdfzimnnMLw4cMpKSnh2muvZeXKlaxevZq8vDwuvvhi/v3vf7No0SJCoRCXXHIJAMuWLQOcKeRTpkyhuLiYm2++mbKyMs4991wuvPBCfvnLXwLOFPKJEycyf/58zj//fJ5//nkuvfRSnn76aWbPng04U8jnzZvH7373O6ZPn85tt93Go48+ypo1a3YZq9OR/TW7SkT6H5OMQ2M1NFTu6MpyN3VltSOaiPGvjc9z/yf/oKTB+Y+9An8u3x37VU4dejye9t6b2hg04nRpBXIhmOuMJRIZgLplF/Kzzz6bl19+mW3btpGXl8dRRx3FL37xC0aPHg04iwH+8Ic/5G9/+xuRSITZs2dz9913t+pGWr9+PRdffDEvvvgiaWlpzJs3j5tuugm3e8c/3C+++CKXXXYZq1evZsiQIfz0pz/lW9/6Vqu63Hnnndxyyy2UlZUxZcoU7rjjDmbMmNHZjwIo5IjI3jMm6XRf1W+DSC2Q3O24nVgyzr82Ps/vPnqE8sZtAAwNFvK9A7/GSYOP3nXbiB03a9qkNOrcIzgIAjnOXl8iA0i3hJz+RiFHRPYVY4zTfVW/3VnwLxl3Zk51EHYiiSiPrV/CHz7+O9uj1QCMzxzND8d/i8MGTeroZk1bRsTBHYC0PPBnajNQGTAUcjpBIUdE9jVjjDMrq36b053VibBTH2/goc+e4oFP/4+6uDPA+JiC6fx62o/a78KCpkUFmwZA+zKcsONJ00ws6fe6bTFAERFpX/OsLEJDIGeUs5pxMu608iTjbb4n6A7wnbFf4anj7uGsESfhsmyCbn/HAQeaFhUMOiEqEobKz6GmBNPWzC2RAUgtOWrJEZFu5HRj1TeN2al2Wl/cAWfWVDvW1W4m4PKmdjkvqa/g1Yp3OGP4CbisDsbfJGJOy47b57TqBHLUhSX9Ume/v7u0GKCIiHSNZVngTcN4ghDNdnYjj9Y6Jz2BNldRHpk+uNXr33z4IEtKXmNN9WdcM/l77d/M5XG6xRIRCG+GxmpMeoG6sGTAUsQXEdkPLMvC8mVA9ghnnyxPEKL1EGtod1FBcFqCDs0ZT5Yng7NGnNRuuRY3crqv3AEnTFWuc7qwtNu5DEDqrlJ3lYj0AJNMQGOl07ITjzStsdP+7ueNiQh+145dyu/76DHy/NmcOvS49qecgzPlPB5xWo3SC8CXqVYd6fPUXSUi0otZtguCgzC+kBN0GiqdQNLOeJ2WAefTmo3c89HfSJgkj29cynUHz2dkxpC2b9S8J1a8Aao2gD8Lk16A5fa1XV6kH1F3lYhID7JcXqzQYMgeCb6QE0Z204U1LK2IBQd9k4DLz7vbP+TMlxfw+48fI9bO7C0sq2kWlg8atkPlZ5j6bc5ChiL9mLqr1F0lIr2EMUlnx/PaiqZZUn5nMHE7Suu38PNV9/BqxTsAHBgawfWTv8/4rDEd3aRpbZ0E+LMgvVCtOtLnaDHATlDIEZHeyCSiTV1Y250p555gm7OwwBmY/PTml/jV+/dTHavBZdmcN/p0Lhp7Ft6O9rZKxp0WI7fPGavjz9ZYHekztBigiEgfZbm8kFEMWSPAkwbROme8Thv/TWpZFicPOYbHj/0tc4qPImGS/OGTv/P1V69gTfVn7d/Edju7nCcTUL0Jqjc64UqkH1FLjlpyRKQXM8mE06pTv9XpYuqgVQfg2ZJl3LDqXiqjYdyWi4vGnsX5Y87A3dEmnsm4MxbIHYD0QvCF1KojvZpackRE+gHLdmFlFDoDk73pzvYQ8Ui7A5NPKD6C/zvmDo4rnEHcJLhz7V+5ZuUdHd/EdoMn3WktqtoANaWY9gYxi/QhCjkiIn2A5U1zuq/Si5xxOrF657kNub4sfjPtKn55yAJyvJmcO/rUTtygaQaWywN1FVD5OSZat28/hMh+pu4qdVeJSB9jorVQU+asaOz2OWvhtGPnRQRfKHuTQ3LGkeXt4N95zSHKdjvdV4EcdV9Jr6LuKhGRfsrypjvbQ6QXOONponXtdl+1DDgfVn/GD9++mTNfWkBZw9YObmA7A54Bws2DkrUthPQ9WvFYRKQPsmw3Jr0QvGlQU+q06ngCTutLO2wshgQLGJ0xlAJ/7m5u0LQHVjLuTGVPRDAZRU7AEukj1F2l7ioR6eNMIup0XzVWOiHH5Wt3D6z6eCMJkyCjqaWmNlZPXbyBgkAHoadV91UBBHLVfSU9St1VIiIDhOXyQuYQCDXtXxWra3dQctDtTwUcYww/e+9uvvryZbxSvqKDG7TsvtoM4c2afSV9gkKOiEg/YFk2VjDXmWqeWkCw43E0tfF6Pq8toTIaZv6bP+e3a/5CwiTau4HTfeX2Q8NWZ/ZVrKEbPonIvqOQIyLSj1ieoDMoOW2Qs+5NB5t9ZnjSeOioX3HWiJMA+P3Hj3HR69ezpaGS1zfU8cTqMK9vqCORbPF+2+2EqFgdVH2OaahiAI96kF5OY3I0JkdE+iFjDDRUQl2Z06Kzm5WSn970Ete/dzeNiQhWIkTdxq+TaBgBQGGGm2uPL2DO2IyWN2ja6NNAWh6k52N1cH2RfUljckREBjDLsrCCOa33v+pgHM3cIV9k/tDrSUbyMK4wgeH34cl+DTCU18T53uObWfxRTcsbOLO5XG6oLYfqTZpmLr2OQo6ISD9meYKQNRyCuU7LSztbQiSShntfdVO37vvEqg/GspL4C5/EX/QoxnLCy8+WlrfuugJnIUKP35lmXrUeE6vfHx9LpFMUckRE+jnL5YHQYGdn89SWEK3Dylub6imriYPx0VjyNRrL52KMjSfrXYIj7gHPdkpr4ry1qY0QY7ud9XpidU7QaazeT59MpGMKOSIiA4Bl2VhpeU6rjtvXtEryjmnmFbUtZ1VZxLYfTcOGC0jG03D5SwiOuBM7sH6nci3f0jTNPBl3Vkiu26IBydLjFHJERAYQy5fhjNPxZbSaZp6f7tqlbKJ+NPXrLiHRMASwMbGsNsvtuLi1Y4BzTQnUlGCS7YQikf1A2zqIiAwwltuHyRoOtWVQvw1MgsMGByjMcFNeE6dl+4uJZ1G//rvYnkoKA7kcNiQIQNIksdubTeX2QcKGuq2QiGJCg50FC0X2M7XkiIgMQJbtcsbohIrBGFyJBq49Lt85t3NZ48FE87nm+AJctsVzpcs5b9mP2Rapav8GLo8z+ypS3TQgWQsHyv6nkCMiMkA508wHOeN0XF7mjLS5+9QiCjJaN/IXZri5+7TBzBmbQSQR5ab3/8C72z/k4XX/7vgGtqvFwoHrMZGajsuL7GNaDFCLAYqIYOKNzr5UkRoSLj9vlUSpqE2Qn+7isCFBXPaO9p3Pazfz0GdPctXEb+O2Oxijk7q4adrg0wUZReDP1gafslc6+/2tkKOQIyIC4CzmV1PqrJTs9jpr4HRCLBnnPyWv8aXBX2g/vBgDiQgkE85O5mn5Cjqyx7TisYiIdInl8ji7macXOLOuOtj3qpkxhhtX3cfV7/6Ga/77W6LtrXrcvMGny+MMeNbMK9kPFHJERCTFsmwn5GQOcYJJGwsHti5vcUBoODY2/9r4PN99/Tqqox2MvXF5weWD+i0Q1lYQ0r0UckREpBXLsrACOZA5zAklsdYLB+7sayPncteMn5LmDrBi+wd849Ur2VBX2v4NXB5wB51useoNmHikGz6FiEKOiIi0w1k4cHiLDT7b7146Mv8Q/nTkTRQF8lhfV8I3XvkR727/sP2L2y5nK4hIjRN0NMVcuoFCjoiItMvyBJygE8iCeH1qheS2HBAazl+OupkJmWOoitVw4fKf8u/NL3dwcRu86U6XWNV6TKR2338AGdAUckREpEPOBp9DIZjnzJDqoHtpkD+bPx7xC44vPJxYMs5V79zK/R//o/19rCzLaSlKRJ0Wncaq7vkQMiAp5IiIyG6lVkhOL3S6rTqYeRVw+/j1tB/xzVFfBuD2NX/m5+/dQ7y97q7mPa9MAqo3Yeq3aXNP2ScUckREpFMsy4K0/E7NvLItm8snnM9VEy/EwuLvG/7DD976JfXxdsbepDb3tJxFCesqFHRkrynkiIhIpzkzr7I7PfPq6yNP5rbDrsJve3l3+4eUNWzt+AYt19KpLcV0cG2R3dEu5CIi0mWWL8PZyTy8yZl55U1zBhK34djCGfzhiBtoTEQYlTF09xd3eQELardAMonJKHK6y0S6SCFHRET2iOUJOEGnehNEw+AOgN3218rB2WNbvX5n22oADs0d3/bFXR6n66p+K5gEJjQYq51ri7RH3VUiIrLHLJcXsoaBPwfijR1OMW+2vraES9/6Jd95/dpU2GmT7XbG6TRWQtUGrY4sXaZYLCIie8Wy3ZjMIU4oqd/ijNFx+9otn+/PZWrOeLZHqxmfNbrji9suZ4p5JOwEncwhWB1cW6Ql7UKuXchFRPYJYwzUVUBtxY4NOdvZaTxhEtTHG8nwpKXeazDY7YzrwSR3jP0JDXEWKZQBS7uQi4jIfrVjivng3U4xd1muVMABuHvt3/jxu7cTS7a3i3mL1ZGrN2Cidd3xEaSfUXeViIjsM5ZlQSAHY7ud9W5idU53UzstOuCM0bn/k38QNwm2R6q49bCrSHO30VLTvDpyrM4JOqEhzv5aIu1QS46IiOxzli/krKXjDkC0tsO1dIanF3PH9B8TcPlZvvW/nPfaj9naWNnOhZu3gYhBeCOmsbqbPoH0Bwo5IiLSLSxvmjPzypu+213Mj8o/lD8ecQM53kzWhD/j3NeuYn1tSTsXblodOZmA8CZMQ6VWR5Y2KeSIiEi3sdx+Zxdzf6YzniYZb7fshKwx/OmomxgaLGRzfTnffO0q3q/6uJ0LW04rkTHOgoQN2xV0ZBcKOSIi0q0sl8fpugrkOBt7drDezbC0Iv501E2MzxxNZTTM+ct+wqsV77RzYQs8AWdQcngz1G1R0JFW9irk3HTTTViWxYIFC1LHGhsbmT9/Prm5uaSnp3PGGWdQXl7e6n0bNmxg7ty5BINB8vPzueKKK4jHW6f7F198kUMPPRSfz8eYMWNYtGjRLve/6667GDFiBH6/nxkzZvDmm2/uzccREZFuYtkuZ2PP9HxIRCEeabdsri+L+4+4gSPyptCYiHDpm7/giY0vtH9xt99Zo6e2DGrLtd+VpOxxyHnrrbf43e9+x8EHH9zq+GWXXcaTTz7JY489xksvvURJSQmnn3566nwikWDu3LlEo1GWLVvGgw8+yKJFi7jmmmtSZdatW8fcuXM59thjWblyJQsWLODCCy9kyZIlqTKPPPIICxcu5Nprr+Wdd95h8uTJzJ49m4qKij39SCIi0o0sy4b0IkgvBJNwWnXaaXlJcwf47fQfc/LgLxI3CX6y8nb++Mn/td9S4/Y5W0HUlUONNvYUxx4tBlhbW8uhhx7K3XffzQ033MCUKVO47bbbqK6uJi8vj7/+9a+ceeaZAKxZs4aDDjqI5cuXc/jhh/PMM89w8sknU1JSQkFBAQD33nsvV155JVu2bMHr9XLllVfy9NNP8/7776fuefbZZ1NVVcXixYsBmDFjBocddhh33nknAMlkkqFDh3LJJZdw1VVXdepzaDFAEZH9zxjjbNVQU9q0OnKg3SnmSZPktg//xKJPHwdg3ujT+OH4b7V/8UTM2V4iOAi0sWe/1a2LAc6fP5+5c+cya9asVsdXrFhBLBZrdXzcuHEMGzaM5cuXA7B8+XImTZqUCjgAs2fPJhwO88EHH6TK7Hzt2bNnp64RjUZZsWJFqzK2bTNr1qxUmbZEIhHC4XCrh4iI7F+WZWEFciBzqNPNFKtrt0XHtmwWjv8WV4w/HxubCZljOr64y+OM06nf6sy86mCgs/R/XV4M8OGHH+add97hrbfe2uVcWVkZXq+XrKysVscLCgooKytLlWkZcJrPN5/rqEw4HKahoYHKykoSiUSbZdasWdNu3W+88Uauv/76zn1QERHpVpYvhMl0tVg0MOgMIm7DuaO/zBcKpjE8vXj3F27e2LOhEkzSWTTQ5dnHtZe+oEstORs3buQHP/gBf/nLX/D7/d1Vp25z9dVXU11dnXps3Lixp6skIjKgpdbS8aTtdi2dlgGnvGEb33/jBioat7dd2HY17WBe7ayOHI/u66pLH9ClkLNixQoqKio49NBDcbvduN1uXnrpJe644w7cbjcFBQVEo1Gqqqpava+8vJzCwkIACgsLd5lt1fx6d2VCoRCBQIBBgwbhcrnaLNN8jbb4fD5CoVCrh4iI9KyurKXT7JqVd/Byxdtcs/KO9gvZLmdDz0gNVK/HxBv3Ya2lL+hSyDn++ONZtWoVK1euTD2mTZvGOeeck/rZ4/GwdOnS1HvWrl3Lhg0bmDlzJgAzZ85k1apVrWZBPfvss4RCIcaPH58q0/IazWWar+H1epk6dWqrMslkkqVLl6bKiIhI39GVtXQAfjr5e0zLncBPD754Nxe2naATq4eqDZhY/T6stfR2XRqTk5GRwcSJE1sdS0tLIzc3N3X8ggsuYOHCheTk5BAKhbjkkkuYOXMmhx9+OAAnnngi48eP59xzz+Xmm2+mrKyMn/zkJ8yfPx+fzwfARRddxJ133smPfvQjzj//fJ5//nkeffRRnn766dR9Fy5cyLx585g2bRrTp0/ntttuo66ujvPOO2+vfiEiItIzLNuFyRwCLjfUbW2aeeVrs+yQYAF/POIXrY6V1m+hKJjX1oV3bOxZtQGTOQTLm94dH0F6mX2+C/lvfvMbbNvmjDPOIBKJMHv2bO6+++7UeZfLxVNPPcXFF1/MzJkzSUtLY968efzsZz9LlRk5ciRPP/00l112GbfffjtDhgzhD3/4A7Nnz06VOeuss9iyZQvXXHMNZWVlTJkyhcWLF+8yGFlERPoOy7Ix6UVguZ01b2INzmJ/HexiDvB86etcvuJ/uWrihXx1xJy2LtwUdOqdMToZg7H8md30KaS32KN1cvoLrZMjItI7OWvpVEFNiTMY2RPsMOjcuOo+/vb5vwH49gFf4fsHfh2rrfLGQLwBsCBUDP7ststJr9at6+SIiIh0J2ctnWxnnI7L0+FaOgBXTfw2F489G4Dff/wYP115B7G2BjA3b+wJztT1+q3a76ofU8gREZFey/JlODOvPEFnink72zVYlsXFB57NdZPn47Jsntj0Ape8eQO1bQ00Tm3s6XJWXdZ+V/2WQo6IiPRqlifotOj40ne7ls7pw07g9sP+H36Xj2VbVnLesv/X/lo6rfa7KsF0cF3pmxRyRESk17PcPqdFJ5DjjKnpYIr5Fwqm8ccjbiDHm8na8Od845Uf8UnNhrYLu7zOwGZtA9EvKeSIiEifYNluyBzibL6ZiEA80m7ZiVkH8NDRNzMibTBljVuZ9+pVvLl1VduFbTe4g86moVUbMAmtjtxfKOSIiEifYVk2ZBRDehGYhDPFvJ2Bw0OCBfzpqBs5JPsgauL1XPT69Ty16cW2L2y7mraWCEPVekysofs+hOw3CjkiItKnWJYFaXkQGuoMIu5g5lWWN8R9M6/nxKIjiJs4/+/d2/ig6pN2LmzvWEunaj0mUtuNn0L2h32+GKCIiEh3sywLAlkYl3u3u5j7XF5unno5Q9Y8RDwZZ0LWmA4u3CLoVK/HhAaDL1Nr6fRRCjkiItJnWd50TNZwqN4E0Von6NiuXcrZls2Cg77Zak2c6mgNFhahnbd4sCznOvFGqN4I6TFMcJCCTh+k7ioREenTUruYB7IgXt/hzKvmoBJNxFjw1k2c+9pVbKwrbatg67V0akq0lk4fpJYcERHp8yyXBxMaCrYH6rd1uLknQEXjNjbVl1EbryeS7GDHc7cPEjbUb4FkHJNR7OyYLn2CQo6IiPQLlu3CZBQ7a9/UljvjatyBNve8GpJWyF+PvoUNdaWMyRjW8YVdHmesTkMlJOKYzMFO65H0euquEhGRfsOyLKy0PMgc6qx/E2t/K4g8fw5TcyekXr+99X3uXPMXkm2Vt13gTYNYLVR+jonUdNdHkH1ILTkiItLvWP5MjMvjzLyK1rU7ILlZOFrLwrd/RVWshk9rNvKLQ35AsHkjz9RFW04x34DJKIRAjgYk92JqyRERkX7J8gSdAcn+rN0OSA5507l8wvl4bDdLy17nm69dTUl9RRsXbZp5ZeEEKO151asp5IiISL9lubxO11UwDxJRZ1p4OwsHfnnosfxx5g3k+rL4KPw5X3vlCt7d/mEbF7Wc/a5cXmdAcvVGbQXRSynkiIhIv2bZLmcriIxiJ+DE6tsNOpNzxvG3o29hXGgUldFqLlj2U/6x/tm2L+zyOHteRaqccTpRrZDc2yjkiIhIv+cMSB4EWcOcFpgOBiQXBvJYdOQvU1tBXP/eXdzw3r3E2ppqbrvAk+7sjF61HlO/tdWCg9KzLDOA/xrhcJjMzEyqq6sJhUI9XR0REdkPTLyxaUByjTPF3G57Do4xht9//HfuWvtXDIYxaQdyxqD5jM7K5bAhQVy21bKwszN6Mg7BXEgvdHZNl27R2e9vhRyFHBGRAcck485Kxg3bnQUEO1g48DfvvMIDG+8Cu5FkLETDpnPJ94zk2uMLmDM2o3XhZNzZGd2bAaEiZ/Cz7HOd/f5Wd5WIiAw4lu2G0GBIL3K6rdoZp7P4oxp++1wetevmk4jkYXvCBIffy5bIZr73+GYWf7TTejm2e8d6OlWfY+q3qfuqBynkiIjIgGRZNlZ6vjNOx/bsMk4nkTRcv7QcA5hoHvWfzydWM554zSQS0XwAfra0nERypxDTvJ6OMU63WHgTpoPp69J9FHJERGRAs3whyB4B3nRn4cBkHIC3NtVTVhPfUTDpp3HTuTSWnglYGKC0roZ/f/p5Gxdtmmbu9jl7aVV9jolo9tX+ppAjIiIDXmon87RBEI9AvJGK2nhbJcE0DyhO4i9+lJ9/9GNeq3i37Qunuq/qnaBTU6bFA/cjhRwRERGaxulkDHbG6gD5vt10MdkRbFcdcRMl29vB5JXm7ivbBXVlTtiJ1e/Dmkt7NL9NRESkiWVZEMzFuH0cxmYK07dTXpukraHDVjJAaPv3+O3xCcZnjU4db0xE8Lt2mq1lWc76PLYborVQuQ4TzIO0QViW2hu6i36zIiIiO7G86bhyR3LtCU6rzs5bcDa/vvb4wUwbtGMn89VVn3DS0u/yfOnr7Vy4qVUHnCnslesw0bp9W3lJUcgRERFpg+XyMmf6RO4+czQF6a13MC/McHP3aYN3WSfnwc/+xbZIFQvevomfv3cvDfFIGxduGpTsDe5o1akpc9bukX1KiwFqMUAREemAMYZEY5i3PvyMinAD+aEghw1Lb73icZNYMsZv1/yFRZ8+DsDo9KH8auoPGRsa0d7FIRlzBjt70yAtH3whp9tM2qUVjztBIUdERDrLxCNOF1Ok2hlf4/K2W3b5lpX8+N3b2RqpxGt7WDh+Hl8bMbf98GKSzkrJAP4sSM93ZnxJm7TisYiIyD5kuX3OwoFpBc5aOtG6dnczn5k3hb9/8Ta+kD+NaDLGTe//gYvfuJ7yhm3tXNx2WnLcPmiohO2fYmrL1YW1lxRyREREOsmybEgvcNbUcfuc7RvaWfcmx5fJb6f/mKsnfhuf7WXZlpWc8dIPeGbzK+3foHldHSyoLYXtn2EaKjHt7JguHVN3lbqrRERkD5h4FGpLoLHa2RbC5XUGFbdhXc0mfrzydt6v+hiAOcVH8eNJ3yXTm9FmeecGSYg3Os/edEjLA2+Gxuug7ioREZFuZbm9kDmsxSafrfe+amlkxhAePPJGLh57Ni7LZnHJq3zlpctoTLQx+yp1Axs8QXAHmmZhfQ7VGzDRWm362UkKOSIiInsotcln9ggnkLTY+2pnHtvNxQeezZ+P+hWj0odw6rDjd100sC22y2nJcfugsQoq10H1Rky0TmFnN9Rdpe4qERHZB0wiBrXl0LDdaYVx+9vtvookotiWhcf2ALC2eh2f1W5iTvFRu++OSsadbizLBl8mBHPAkzagurE6+/2tbR1ERET2AcvlwYQGO4v81ZY73VfugNMSsxNfi+nnsWScn668gzXhdZQ3buNbo0/r+Ea222nZScSgsdKZ0u7NwARzwJuubSJaUMgRERHZRyzLgkAOxhNsWlMnvNtByQDHFs5gS6SSU4Yc0/mbuTzOIxl37hMJgyfNCTu+EFYb4WqgUXeVuqtERKQbGJOEui3OwyScMTsdtLI0xCME3DvG6Nz+4Z85puAwJueM69wNkwmnGwsDLh8EssGf2S8XFdTsKhERkR7kDEou2DEoOVbndDG1o2XAean8Le7/5B+c+9pV/HTlHWyLVO3+hrbLWWPHE3RCVU2ps6hg9UZMJDwg19pRyBEREelGljcdskdCMA8SUYjVt7tScrNJWWP5n6HHA/Cvjc/z5ee/x18+e4p4OwsPtr5h06Bnb7rzc8N2Z/r5tk8wdVsw8cYBMytL3VXqrhIRkf3AGOOMm6ktc/ap8gScQcQdeK/yI3656nesrv4UgNEZw7h8/HkcmX9I126eTDgBy8TBcoMv3ZmZ5U3Hcnn29CP1GG3Q2QkKOSIisr+ZRBRqypw1b3Yz1RwgYRL8c8Nz3P7hQ1THagA4Kv9Qfjj+PEZnDO3izY0zUDkRdX52ecCXAb4QeNOwdhO6eguFnE5QyBERkZ5gjHGmf9eWQzzSqVadcLSW+z5+lL+u+zdxE8dl2Zwx7EQuGnsWg/zZe1IJSMacwAPOLDBfhvPwpPXqFh6FnE5QyBERkZ5k4hGn+6qxCizXblt1ADbUlfKb1Q+ytOx1APwuH/NGncr3Dvzani8IaJLOoOhk08Bo2+MMYvamO88uX69abFCLAYqIiPRyltuHyRwG3gyoK3e2hfD4O2zVGZZWxG8Ou4q3t33Ab1Y/yKqqj9hUX753IcSynW0j8O1o4WmsbhG+fBhfyJm55Qn0mW4tteSoJUdERHoBE290uq+60KpjjOGFsjcYGxrBkLRCANbVbmZZxbucMfyEzu2N1fENnOnoiZjzDC1aedKcFZ3d/v2+8KBackRERPoQy+13WnV8GU7YidbudqyOZVkcV3R4q2P3ffQoT29+iQ+rP+WGQ36wl5WynNlYzXUwSWfgcnMrDxa4PM4Kz540pxXK7e81LT29oxYiIiLSYluItBatOlGnxaST3VHTcify7vbVfH3kyalj2yPVeG0P6Z7gXlbQdraocHmbWnlahJ6GKqeOthvj9qe6tvCFemw8j7qr1F0lIiK9kDMDq9oZqxNrcLqvOjnjKZ5M4G7RhfTz9+5l8eaXOWvElzhn1Mnk+rK6qdJNoScZd9bmcXkgexSWJ7BPb6NtHURERPowy7KwAlnOaslpg5zBwNE6J0jsRsuAkzAJVlV+RE28nj988nfmPPcdfvbfu/msZmM3VLqppccTbNpeome3kuhSyLnnnns4+OCDCYVChEIhZs6cyTPPPJM639jYyPz588nNzSU9PZ0zzjiD8vLyVtfYsGEDc+fOJRgMkp+fzxVXXEE8Hm9V5sUXX+TQQw/F5/MxZswYFi1atEtd7rrrLkaMGIHf72fGjBm8+eabXfkoIiIifYLl8kLGYMga7nT/ROuctXU62RHjslw8/IX/5bZpVzEx6wAiySh/3/AfTnvxEi5+/We8VvFuv93moUshZ8iQIdx0002sWLGCt99+m+OOO45TTz2VDz74AIDLLruMJ598kscee4yXXnqJkpISTj/99NT7E4kEc+fOJRqNsmzZMh588EEWLVrENddckyqzbt065s6dy7HHHsvKlStZsGABF154IUuWLEmVeeSRR1i4cCHXXnst77zzDpMnT2b27NlUVFTs7e9DRESk17EsC8sXclp1MooA42z42Zm9rADbsjmu6HD+ctTNPHDELzi+8HAsLF7b8g4Xv3E9p714CX/57CnCsdru/SD72V6PycnJyeGWW27hzDPPJC8vj7/+9a+ceeaZAKxZs4aDDjqI5cuXc/jhh/PMM89w8sknU1JSQkFBAQD33nsvV155JVu2bMHr9XLllVfy9NNP8/7776fucfbZZ1NVVcXixYsBmDFjBocddhh33nknAMlkkqFDh3LJJZdw1VVXdbruGpMjIiJ9kYnVOwOTI+FOTzff2aa6Mv6y7in+ueE56hONgLOw4EmDj+as4XMYnzWm09dKJA1vbaqnojZBfrqLw4YEcZGERARyxvS9MTmJRIKHH36Yuro6Zs6cyYoVK4jFYsyaNStVZty4cQwbNozly5cDsHz5ciZNmpQKOACzZ88mHA6nWoOWL1/e6hrNZZqvEY1GWbFiRasytm0za9asVBkREZH+zPIEne6rzKHO9O5o7Y79qDppSFohV068kOdO+CP/b9J3GJMxjMZEhH9ueI5fr17U6ess/qiGo373KV97eCM/eKqErz28kaN+9ymLP+r5VqEuTyFftWoVM2fOpLGxkfT0dP75z38yfvx4Vq5cidfrJSsrq1X5goICysrKACgrK2sVcJrPN5/rqEw4HKahoYHKykoSiUSbZdasWdNh3SORCJFIJPU6HA53/oOLiIj0IpZlO9PNvRlQtwUatjtBxx2ALizOl+4JcvaIL3HW8JN4Z/tqHl2/mGMKpqfOb4tUcfMH9/PlIcftsvv54o9q+N7jm9k5WpXXxPneE6XcffIg5szYm0+5d7occg488EBWrlxJdXU1f//735k3bx4vvfRSd9Rtn7vxxhu5/vrre7oaIiIi+4zl8mAyisCf2bSIYE3TNg2dX1sHnHE/U3MnMDV3QqvjT216kWc2v0JJfUWrkJNIGq5fWr5LwAEwgAX87MVKTjjM9NiifF3urvJ6vYwZM4apU6dy4403MnnyZG6//XYKCwuJRqNUVVW1Kl9eXk5hobPUdGFh4S6zrZpf765MKBQiEAgwaNAgXC5Xm2War9Geq6++murq6tRj48ZumD4nIiKyn1mWheVNg+wRTheWy+t0YXVhFlZ7ZuZN4WsjvsRXhs9JHauO1jB36SVs9z+N7SuBNqKOAUprE7y1vmqv7r839nqdnGQySSQSYerUqXg8HpYuXZo6t3btWjZs2MDMmTMBmDlzJqtWrWo1C+rZZ58lFAoxfvz4VJmW12gu03wNr9fL1KlTW5VJJpMsXbo0VaY9Pp8vNf29+SEiItJfWJaNFciBnNE7ZmFF65y9p/bQ2NAIrp70Hb489NjUsf+ULKOkcRO+QS+QNuoO0kb9Gm/eEmz/JnYOPBU1EXpKl1qQrr76ak466SSGDRtGTU0Nf/3rX3nxxRdZsmQJmZmZXHDBBSxcuJCcnBxCoRCXXHIJM2fO5PDDnX01TjzxRMaPH8+5557LzTffTFlZGT/5yU+YP38+Pp+zidhFF13EnXfeyY9+9CPOP/98nn/+eR599FGefvrpVD0WLlzIvHnzmDZtGtOnT+e2226jrq6O8847bx/+akRERPomy3ZDegHGnwm1FRCpdmY6dXG8Tnu+NOQLlFbb3PP+i7jT12L7tuLzvYBv0AskY5nEaw4iXjueRN0o8jP2cpPQvdClkFNRUcE3v/lNSktLyczM5OCDD2bJkiWccMIJAPzmN7/Btm3OOOMMIpEIs2fP5u6770693+Vy8dRTT3HxxRczc+ZM0tLSmDdvHj/72c9SZUaOHMnTTz/NZZddxu23386QIUP4wx/+wOzZs1NlzjrrLLZs2cI111xDWVkZU6ZMYfHixbsMRhYRERnInE0/h0I0B+oqnC4scBYVtPa8MyfNHWD+pFn8bdlIykvrcKWvwZ2xCnf6R9iearw5r+PNeZ1A2aUcNjxr33yYPaC9q7ROjoiIDADGJJ11deq2QLTeadFx+/Yq7DTProKmTiorhiv4KZ6M1dj+Ev53wrWcdPjkvrdOjoiIiPQdlmVj+bMgexRkDnE2z4zVQbxxjwcnzxmbwd2nDaYgo6ljyHhI1I0ju+6r/PrgX3DS2LR99wH2QE/N6hIREZEeYNkuCOY643UaKqF+m9ON5fKAy9fllZPnjM3ghDHp7a943IMUckRERAYgy3ZDWh7Gn+UsJNiwfY/Djsu2OHzYTq02PbsBOaCQIyIiMqBZLo8zEyuQs9dhp7dRyBEREZH2w47t3usByj1FIUdERERSWoWdxmpo2NY0G8tu2u2874QdhRwRERHZheXyQNogTCB7R9iJNQDGCTt2748Qvb+GIiIi0mOc2Vg5mEAWRGp2dGPFG509smxPrx23o5AjIiIiu2VZNvgzMb4QxOqhsdJp4enF43YUckRERKTTLMsCbxp40zDBPGcV5YZKJ/iAMyOrl3Rl9Y5aiIiISJ9juX3gznMGKUdrndadSC3EI85A5R6mkCMiIiJ7xbJdO7qyEhGnG6uxCkyyR8frKOSIiIjIPmFZljPzKt2PCQ5yAo/L12P1UcgRERGRfc6yXWAHe7QOPd9hJiIiItINFHJERESkX1LIERERkX5JIUdERET6JYUcERER6ZcUckRERKRfUsgRERGRfkkhR0RERPolhRwRERHplxRyREREpF9SyBEREZF+SSFHRERE+iWFHBEREemXFHJERESkX1LIERERkX5JIUdERET6JYUcERER6ZcUckRERKRfUsgRERGRfsnd0xUQERGRPi6ZgPXLoLYc0gtg+BFgu3q6Vgo5IiIishdWPwGLr4RwyY5joWKY8ysY/+WeqxfqrhIREZE9tfoJePSbrQMOQLgUHv0mZvW/eqZeTRRyREREpOuSCacFB9PGSeMc/fcVmFjD/q1XCwo5IiIi0nXrl7Vqwanf6qFsRSbV6wIAWBis2nJY/1pP1VAhR0RERLrGJGJEVr9NImqljjVs9VL5cRrVGwKtC9dW7Ofa7aCBxyIiIrJbyVgjjSvepOa556h96TWiG0somuEna6TTHZVe3Eis1k16cWPrN6YX9kBtHQo5IiIi0qZkpIH65a9Ss/gZal5eTmJ71Y6TbjexeAhDAxbgCyUonFadOm2wIFSMNeqL+73eqSr22J1FRESk10nGotS//io1zzxDzfMvk6gKp87ZaUHSZ04l/cippM2YjKvsLfjPTzBYWK0GIFtYAHNu6tH1chRyREREBjhjkkQ+Wk31o48SXvwc8W2VqXOuzAzSv3A4GUdPI+2QCVheH7j94A/BkImQORRrydVtrJNzU4+vk6OQIyIiMkCZeBQiYWispHH5C2z/y2MA2BnpZHxhBqFjphOcMgHL5wdvGngznGeXD8tqGnQ84TQ46BSteCwiIiI9y5gk9cteZtsDi0ibOoGc004A20X6cUcTensVGcfMIH3GFCxfALzp4HOCjeXytn9R2wUjj95/H6KTFHJEREQGAJNoarWp307k/bepe/UN4iVl5Jx5CiSiuLxQfM0PmoJNCLzpWC5PT1d7ryjkiIiI9FPJeJza55+l6pGHyThqGllzjgbbTeiEY4mVbSVzzhcgGXdaa3yZTrBxd9Bi08co5IiIiPQz8eoqqh75K1V/e5RYablzbMtWsuYeD8kYrqCH/Pnngz/TabVx+3eMselHFHJERET6ichnn7L9wQeofuJpTIOzKJ8dSifrS8eSdfJxgIFArhNuvGlYVv/e+EAhR0REpI+rf+dttv3+PmpffBWMs16Nb+Qwss+YQ+iEo7HTMyGQDd5Qv+qO2h2FHBERkT7IGEPtC0vZ9vvf0/Due6njaTMPJeeMkwhOm4zlz4RAljPWpp+32rRFIUdERKSPScYa2fCNc2n47/vOAbeLzBOOJufsk/GNGgX+bKdLqp+OtemsLsW6G2+8kcMOO4yMjAzy8/M57bTTWLt2basyjY2NzJ8/n9zcXNLT0znjjDMoLy9vVWbDhg3MnTuXYDBIfn4+V1xxBfF4vFWZF198kUMPPRSfz8eYMWNYtGjRLvW56667GDFiBH6/nxkzZvDmm2925eOIiIj0GSaZxMQbMTWlWJWfEhg3AjvgJ+erJzP6r3dQ9OPL8E06HHIPwMooxPIEBnTAgS6GnJdeeon58+fz+uuv8+yzzxKLxTjxxBOpq6tLlbnssst48skneeyxx3jppZcoKSnh9NNPT51PJBLMnTuXaDTKsmXLePDBB1m0aBHXXHNNqsy6deuYO3cuxx57LCtXrmTBggVceOGFLFmyJFXmkUceYeHChVx77bW88847TJ48mdmzZ1NR0XNbuouIiHSH6mf+zWdfOon6F550VhU2SXK/cRqjH7mL/AUX4TngUMgZjRXMxbLVSZNi9kJFRYUBzEsvvWSMMaaqqsp4PB7z2GOPpcp8+OGHBjDLly83xhjz73//29i2bcrKylJl7rnnHhMKhUwkEjHGGPOjH/3ITJgwodW9zjrrLDN79uzU6+nTp5v58+enXicSCVNcXGxuvPHGTte/urraAKa6uroLn1pERGT/SMajJllTZjZffolZfeA4s+HCc02ydKVJlv7XJLd/ZpKN1SaZTPZ0Nfe7zn5/79UopOpqZ0v1nJwcAFasWEEsFmPWrFmpMuPGjWPYsGEsX74cgOXLlzNp0iQKCgpSZWbPnk04HOaDDz5IlWl5jeYyzdeIRqOsWLGiVRnbtpk1a1aqTFsikQjhcLjVQ0REpLepe+N1Gj9YAds/gZpSBp17GoO+dQZFV893xtpkj4SsEVi+0IDvkurIHoecZDLJggULOPLII5k4cSIAZWVleL1esrKyWpUtKCigrKwsVaZlwGk+33yuozLhcJiGhga2bt1KIpFos0zzNdpy4403kpmZmXoMHTq06x9cRESkmzR+9BEbvnMhG+adx5bbbodEFCwLT34egy66ENeQCZA5HMuXoXDTCXvccTd//nzef/99Xn311X1Zn2519dVXs3DhwtTrcDisoCMiIj0uWl7O1tt/Q/XjT0IyCbaNOycLkzBYwUwIDmqaBq5g0xV7FHK+//3v89RTT/Hyyy8zZMiQ1PHCwkKi0ShVVVWtWnPKy8spLCxMldl5FlTz7KuWZXaekVVeXk4oFCIQCOByuXC5XG2Wab5GW3w+Hz6fr+sfWEREpBskGxvZ9vv72Hb/HzGNEQDSj55O3rfPxjdmLKTlgVetNnuqS91Vxhi+//3v889//pPnn3+ekSNHtjo/depUPB4PS5cuTR1bu3YtGzZsYObMmQDMnDmTVatWtZoF9eyzzxIKhRg/fnyqTMtrNJdpvobX62Xq1KmtyiSTSZYuXZoqIyIi0lsZY6h+6kk+nTOHrXfdg2mMEJhwAMN+ez1DbvoJvkkzIXukxtzsra6MZr744otNZmamefHFF01paWnqUV9fnypz0UUXmWHDhpnnn3/evP3222bmzJlm5syZqfPxeNxMnDjRnHjiiWblypVm8eLFJi8vz1x99dWpMp999pkJBoPmiiuuMB9++KG56667jMvlMosXL06Vefjhh43P5zOLFi0yq1evNt/5zndMVlZWq1lbu6PZVSIisr/Vf/C+WXf2V83qA8eZ1QeOMx8dfaSpeugukyhfbZJ1W00yEe/pKvZ6nf3+7lLIAdp8PPDAA6kyDQ0N5nvf+57Jzs42wWDQ/M///I8pLS1tdZ3PP//cnHTSSSYQCJhBgwaZH/7whyYWi7Uq88ILL5gpU6YYr9drRo0a1eoezX7729+aYcOGGa/Xa6ZPn25ef/31rnwchRwREdlvYlVVpuS6a8zqg8ab1QeOMx8efLCpuPEnJr5+hUmGS00yHu3pKvYZnf3+toxp2slrAAqHw2RmZlJdXU0oFOrp6oiISD9lEjHqXnmWjRf9EICMYw8n/+Jz8QwbA2l5WJ5AD9ewb+ns97eWRRQREekm8dpaXK4Y1FWQdmAxueecRvDQCaQdfjik52tQcTcbeFuSioiIdDMTi1Fx66/59LjjiH38LsTqAci76FzSvniiBhXvJwo5IiIi+5BJJjAN26hf9grJcA3hZ18BywWBHMgehZWej2W7erqaA4K6q0RERPaBRHU1EMNOVGNFaylceAHRjaWkH38MpBeAWm72O7XkiIiI7KXwf5bw6Ze+xNZbb4ZIGEwS3+iRZHzpy1g5o7D8mQo4PUAhR0REZA/Ftm5l06WXsPnSBSS2baf2jXdJRuPgczbRtDIKsWx1mvQU/eZFRET2QPUz/6b8+p+RqKoG2yb37JPJPe9s7JwhEMzFstSO0NMUckRERHYnmYD1y6C2nHgySNkfF1Oz5FkAfKOGUXTVxfgnTYH0Aq1504so5IiIiHRk9ROw+EoIl1Cz2UfpW1kkGl1gW+SecyqDzvsaVtZgCGSr9aaXUcgRERFpz+on4NFvkohB+buZVH+WBoA3FKNoRhWBE0dD3gFqvemlFHJERETakkzA4iup2+qmdHk2sTo3YMgZV0fepDCWy4JXbsWael5P11TaoXY1ERGRtqxfhqkuoeKdTGJ1btzBOMOO20bBlDC2CywMVnizM1ZHeiW15IiIiOzEGAPbPsGyoHhGFdvWplEwJYzL28ae1rXl+7+C0ikKOSIiIk2MMVT9/VESZRvJPWIQAL7MOMXTq9t/U3rBfqqddJVCjoiICE7AqV/2EmU/vQ5si7SDb8Cflgd1W7FoowUHC0LFMPyI/V1V6SSFHBERGfBMMgF1FQTH5JI554t4hxbhO3AsZP4cHr8YsKBV0GnaomHOTaDNNnsthRwRERmwTCLB9gf+SOi4qbiDNmBReOVFWP5MyCjCKpwI3rTUOjkpoWIn4Iz/co/VXXZPIUdERAakaHk5pVf8kPo3V1D36iEM+eUVWC43VnoepOXtWNhv/Jdh3NzUisekFzhdVGrB6fUUckREZMCpefklSq+8ikRlFZbfR+iYw7G8aU7rjS9j1zfYLhh59P6vqOwVhRwRERkwTDzOlt/cyrb7HwDAN2YExddcim/seCfguLw9XEPZlxRyRERkQIiWllJy2QIaVr4HQNapJ5A//zzsnMGQNkj7TvVDCjkiItLv1bz4PKVXXk2iOowdDFB4xXcInXi803rjTe/p6kk3UcgREZF+y8TjbLntVrb9oal7auxIBl/zA7xjDmrqnvL0cA2lOynkiIhIvxQrr6Dkhwuof/tdALJOO5H8+d/Czlb31EChkCMiIv2OScap+NUN1L/9LnbA37p7qq3ZU9IvKeSIiEi/YmL1EC6h4DtfIbF9K/kXn4vvwIMgo1izpwYYhRwREekX4pWVhP/1d7LnHgmJKK6sEEN/dTWk5bde3E8GDIUcERHp8xL1dXz+lTOJbSrBStaTddIXwe2DjCLwhbAsq6erKD1AsVZERPo0E2/Ebiwjc/bReIoL8B8wAnwhyB6B5c9UwBnA1JIjIiJ9UqK+nsSWTXiCCUhEyT3nNLLPmINr0DBIL8DS3lIDnlpyRESkz4msW8f6s77CposvIVlXC4Dl8eIqGuvMoFLAERRyRESkjwn/Zwmfn3kmkY8/I15ZTXRTCXjSIGsEViBH3VOSou4qERHpE0w8TsWvb2H7A38CIDDxQIqv/QGeoaO1erG0SSFHRER6vdiWCkou27F6cfYZJ5H/vW9iZRZr9WJpl0KOiIj0anVvv0XJZZcR37INK+Cj6PLvEpp9nLO4n1Yvlg4o5IiISK9kjGH7gw9QccutkEjgHTaYwT+/DN/Y8U7Acft6uorSyynkiIhIr5OoraXsJ/+P8OJnAcg45nAKr7wI16ChkKbp4dI5CjkiItKrREs2s/GCC4iuWw8uF/kXnUP2WV/GyigCf7ZmT0mnKeSIiEivYeKNuOxabJ8bd242xddeSnDqNAgVY3mCPV096WMUckREpMclo1GI1WLVV2CbRgb//AosF7iLR2p6uOwxzbkTEZEeFS0rZcM3zmHrb/4XElGwbDz5ubiHHQSZQxRwZI8p5IiISI8xiSgNy5bS8N77VD7+H+KVVc7u4VnDsNLztf6N7BV1V4mISI8w0VoIlxCaOZH4975J+pGH4i4cqunhss8oIouIyH4V276dzT9cQPyTlRBvANtFzlfn4h17MGQOU8CRfUYtOSIist/Uv/M2my9bSLx8C4kt5Qy9+Sqw3ZBeBP5MTQ+XfUohR0REup0xhu0P3E/Fr2+DRALPkCLyvn02eNOd7ilPoKerKP2QQo6IiHSreFUVpVf/iNoXXgGaVi++4ru48oZCegGWra8i6R76X5aIiHSb+v+upGTBZcRKy7A8bvIu/gbZZ56s1Ytlv1DIERGRfc7ZXPOPVPzvbRCP4ynKp/jaSwlMmqzVi2W/UcgREZF9Kl5ZSenVV1L7otM9lf6F6RRdcRGu/KGQUajuKdlv9L80ERHZZ+reepOSyy8nXr5lR/fUGXOd7qlAjrqnZL/q8jo5L7/8MqeccgrFxcVYlsXjjz/e6rwxhmuuuYaioiICgQCzZs3i448/blVm+/btnHPOOYRCIbKysrjggguora1tVea9997j6KOPxu/3M3ToUG6++eZd6vLYY48xbtw4/H4/kyZN4t///ndXP46IiOwjJlpL1Z/+SLx8C57BhQy/82fknHUGVs4orGCuAo7sd10OOXV1dUyePJm77rqrzfM333wzd9xxB/feey9vvPEGaWlpzJ49m8bGxlSZc845hw8++IBnn32Wp556ipdffpnvfOc7qfPhcJgTTzyR4cOHs2LFCm655Rauu+467rvvvlSZZcuW8bWvfY0LLriAd999l9NOO43TTjuN999/v6sfSURE9oIxSUxtBVStp+AH88j+6smM+MNN+A+ZDtkjNP5Geo7ZC4D55z//mXqdTCZNYWGhueWWW1LHqqqqjM/nM3/729+MMcasXr3aAOatt95KlXnmmWeMZVlm8+bNxhhj7r77bpOdnW0ikUiqzJVXXmkOPPDA1OuvfvWrZu7cua3qM2PGDPPd73630/Wvrq42gKmuru70e0REZIfq/ywxmy//gUmUvGuSZatMsnSlSVasNsn67SaZTPZ09aSf6uz39z7d1mHdunWUlZUxa9as1LHMzExmzJjB8uXLAVi+fDlZWVlMmzYtVWbWrFnYts0bb7yRKvOFL3wBr9ebKjN79mzWrl1LZWVlqkzL+zSXab5PWyKRCOFwuNVDRES6zhhDdP3HlCz8IdVPLqHm+dfBxMGbAVkjsAKaHi49b5+GnLKyMgAKCgpaHS8oKEidKysrIz8/v9V5t9tNTk5OqzJtXaPlPdor03y+LTfeeCOZmZmpx9ChQ7v6EUVE+r9kAta9Aqv+7jwnE61Om2QCakvx+BvJ+87XyfnqyaR/YTqkFUDWcK1eLL3GgJpddfXVV7Nw4cLU63A4rKAjItLS6idg8ZUQLtlxLFQMc36FGXcy2/5wH8HxIwiMLgTbTc6ZJ4EnCBmF4M1Q6430Kvs05BQWFgJQXl5OUVFR6nh5eTlTpkxJlamoqGj1vng8zvbt21PvLywspLy8vFWZ5te7K9N8vi0+nw+fT7vbioi0afUT8Og3AdP6eLiU6APfovTT6dSvXo93aBEj7r8F22tBIMdZ+8blbfOSIj1pn3ZXjRw5ksLCQpYuXZo6Fg6HeeONN5g5cyYAM2fOpKqqihUrVqTKPP/88ySTSWbMmJEq8/LLLxOLxVJlnn32WQ488ECys7NTZVrep7lM831ERKQLkgmnBWengGMMVH/uZ93iPOpXr8fy+8g56xQsvx9CQyBzqAKO9FpdDjm1tbWsXLmSlStXAs5g45UrV7JhwwYsy2LBggXccMMNPPHEE6xatYpvfvObFBcXc9pppwFw0EEHMWfOHL797W/z5ptv8tprr/H973+fs88+m+LiYgC+/vWv4/V6ueCCC/jggw945JFHuP3221t1Nf3gBz9g8eLF/PrXv2bNmjVcd911vP3223z/+9/f+9+KiMhAs35Z6y4qIN5os/m1bEpezyYZs/HnRhn5i2+SdfqpWNla+0b6gK5O23rhhRcMTtRv9Zg3b54xxplG/tOf/tQUFBQYn89njj/+eLN27dpW19i2bZv52te+ZtLT000oFDLnnXeeqampaVXmv//9rznqqKOMz+czgwcPNjfddNMudXn00UfN2LFjjdfrNRMmTDBPP/10lz6LppCLiDR57zFjrg2lHtUX5Ju1Bx9gVh84zqwed6DZcmaxSf40ZJJv/sEkk4merq0McJ39/raMMaaDDNSvhcNhMjMzqa6uJhQK9XR1RER6zrpX4MGTiUcsyt/JJLzeWcDPlxmj+PBK/Nlxp9y8p2Dk0T1YUZHOf38PqNlVIiLSjuFHEN5aTNmrCRKNLrAMueNqGTSxBtsFBgsrVAzDj+jpmop0mkKOiMgAl0wmKb3icsLPAbjwhmIUz6gikOtM/jBYWABzbgLb1YM1FekahRwRkQHMxCNYteV4C0Jg2+SeNIXcvDdwNe6Y3WqFip2AM/7LPVhTka5TyBERGYAi6z8nWVWBvzgDEhFyv34q6Ucein/cREgbBKXvQW05pBc4XVRqwZE+SCFHRGSAqVn6HzZfdgXeoYWM+N2NWG4by+vDP/lwCA7Csl0aXCz9gkKOiMgAYZIJqN+Kf2g6tt+LKzNEorYOd8EQSC/A8gR7uooi+5RCjohIPxfbupXw4/8g+7RjseL1uEPpDL/nBjxDh2KlF0AgG8vapwvgi/QKCjkiIv2USSSo/Ntf2HL7b0nW1OLJtMk46jCwwDtmPKTlY7m1n5/0Xwo5IiL9UN0br1N+ww1EPv4UAN8BI3Dn5YI3HdLztWO4DAgKOSIi/Uh00yYqfnUTNc86GxjbGWnknfcVsk6fi5VRAIEcZ2CxyACgkCMi0g8kamvZ9rt72f6nP2MiUbAtsk4+nkEXnI27cJi6pmRAUsgREenDTCxG5aOPsPXOu0hUVgEQnDKe/Evm4T9oAqTlgzddXVMyICnkiIj0UeGlz7HllluIfr4BAM+QQvK/83XSjz0aKz0f/FmaNSUDmkKOiEgfY0wSGquofeZfRD/fgCszg0HzziDrf76ElZEPwVwsW/96F9E/BSIifUT9qvdweS28gwIQq2PQuafiDgXJOecMXHlDnHCjcTciKWrHFBHp5YwxbL3vbtZ/5Swqfv2/EAmDSeIpLCDv0vm4hk3CChUr4IjsRC05IiK9VDIWw0o2QN1W0iePYIvLhe33YYyNFcyG4CDwBDWoWKQdCjkiIr1M3Vtvse3ee3BnplF05bchEcM3rJAxj96Nu3iYE268aQo3IruhkCMi0gsYY6h94QW23fc7Gla+B4DlcZP37TNx5+SALwP3mAM0HVykCxRyRER6UDISofrJJ6hctIjIJ58BTrjJnP0Fcr52Gu6iERDMBY9abkS6SiFHRKQHxLdvp/IvD1H5t4dJbK8EwA74yfry8eScdRruISPAn60xNyJ7QSFHRGQ/ql+1iqq//JnwvxdjojEA3Hk5ZJ8+m6wvn4QrfwgEsrHc/h6uqUjfp5AjIrIfmGSC8ht/QeWf/5Y65j9wFDlfnUvG8V90FvHzZ2K5vD1YS5H+RSFHRKSbNK79CFcogDvDC41VpI0fSpXHTcYXppN9+pfwT5mCFcwFX4Z2BhfpBgo5IiL7mEkmKP/Fz6n8yyPknns6eeedASZB2vSDGf33+3AXDQN/lsbbiHQzhRwRkb1k4nFqX3sN36hheLIC0FhF4IAiKl0uEtXVYLvBk4EVyMFdmKEuKZH9RCFHRGQPGGNoeHcl4X8/RfiZxSS2bWfQBWcx6OunAEkyjpjKmP/7fVOrTWZTq4120hHZnxRyRGTgSCZg/TKoLYf0Ahh+BHRhLIwxhsYPPiD89FOEFy8hXlqWOufKzMCyLXD7nNWI/Zm4vRlYLk93fBIR6QSFHBEZGFY/AYuvhHDJjmOhYpjzKxj/5XbfZhIJ6le8Q82zS6h5bmmrYGMH/KQfeSgZxx1F+pGHY6UPAl8GuHwaayPSCyjkiEj/t/oJePSbgGl9PFzqHP/qn3YJOo1rP2L7oj9S++JLJCqrUsctn5f0GVPIOP4o0o86HDszH7zpGkQs0gsp5IhI/5ZMOC04OwccaDpmYZ65kqj3IHC58BbnQbSOxOYPqf7nvwCw04OkHzGVjC/MIO3w6diZeU6LjSegcTYivZhCjoj0b+uXte6i2oVhy2s1bPv9l8n68okULjwfEjECYwrJOetk0qYfQnDaoVjpueBNA3dALTYifYRCjoj0b7XlACSiFvUVPuoqvNRX+Cg4pJq0gigAgUFRLLeNiTQ47/EEsdLSyb/qavAENcZGpI9SyBGRfilWWkr9irepf34JDa/lEal2AzuCSl25LxVy0gsiHPDHK7EPOhG8QSfk2PrXo0hfp3+KRaTPSzY00PDBBzSsfJfGlStpeG8V8YotLUo407i9GXGCBRHS8iME852AY7Aguwh76texXPpXokh/on+iRaRPSdbX0/jxxwQmTYB4BOIRNl36Q+pefb11QdvCP2YEgYPHESgwBDcvwu03WK0GIFtO286cX4ECjki/o3+qRaRXMskksZJSEjXV+A8YDYkoprGOj446EROLMfr/fo8nJwTJBP5RRTSuziRw0AEEJhxAYOI4/AeNw87KA3cAPH746BisxVe1sU7OTR2ukyMifZdCjoj0KJNIENu0icinnxL59BOin31K5JNPiH66jmR9A/6DDmDEvb8Ek8BKJvAU55MI1xIv2YwnOwNcHgad/w3yvncReALg9jsP2916sPD4U2HcyXu14rGI9C0KOSL93V5uZbAvRT7/nPrly4h+/jnR9Z8TXb+B2KYSTCzW9hvcLiwbSESdOrt8jPj9/2KHcpoCjc+Z+eTydm72k+2CkUfv088kIr2XQo5If7aHWxl0lYnHSVRW4ho0CJJxSMbZctfdNP73PQZddD6Bg8ZAvJH65/9N2c137/J+y+vBO7QI77BifMOH4B0+FN/okXhHDMcKZIDL6zzcPmzbo+ncItIpCjki/dUebGWwM2MMydpaYlu2EN9SQbyslHh5eeoRK69wft66HTs9jbFP/wlMAkySxhVvUvfWe2QcNZnAkCAAvmF5pE2f7ASaIcV4hxbjGToEz5DBWN60pjDjSYUarSYsIntDIUf6h17UJdMrdLCVQTJhsF0WZvFVMHY2da8tI/LZZ6QdMQPf8KFgEtS+8hrlN91KfNt2TCTauVvW15Os2Ybt84Flk3XabDKOO5LgIRPBmwFuL4HpxQydebwTZGxP6lktMyLSHRRy9gd9AXev/dQl09sYY0hUVhL55GOSNWES4TDJmhoS4WoSG9eQfK+eRDSbZNQm0eKBZRh3ZhlWeDNm1WNsf+Df1L3+LoU/ughf5jFgklgN24iVtNhtOy2IOycT96Bs3LnZuPNycQ/KwZM/CHd+Hp78Qbjy8rG8fie82B4yTh4DtrvptVtBRkT2O4Wc7jZAv4D3m33QJdMdTDIJgGXbThipriJWUoJpbCDZ4DxMfT3JhnqS9Q2Yhoamn3c8LJeL4p//GIyBZIJNl/+EurfepegnCwkdcziYJHXPvUzJdbe2U4tgO8ctkommnB0uIThpLLbfi2dQdtN+lS78Ew5i2F034B6UiztvEHYgfUfri+1qCi/Nz26wXAoxItLrKOR0p176BdzXmGQSEglw72gNSNTVkaytwfz9SkytjWXAGAuTBAyYpOW8fuBKzCkhTDKJHQwQPGRK81UJL/4PyZow6ccegzsnGzDUv7OSuteWY2IxTDS603MME4tiojGS0ahzPBLFlZPFsDtuBJMEY/j8gh/QuPojhtx6HenTp4BJUvPks5TdfE+XPrfl98Hl3wKcwGQa6zENjSSrtkAkDIArw49ncAGu9CB2WhBXehp2ehouqxbXhqW4vElsbxKXz+DyJp2HL0lqqMugseR+d6YTWCxX6tk1yEVw5KFguzQuRkT6LIWcbrL9T38k8Z+bIZKGhfMf4y0ZY8FHP4Kpa1Lb6aRNP4zg1EMAiFVUUPnw33GlpZF7wTdT76t8+O/ESkoxxjRdtOnZODdJHTfJ1LHg9KmETjgOMCSqw1Tceie4XRT9ZMeYjW1/+huNH65tajVwrmuSydRrY3b8jElikoa0ww4h91tfBwPJaISNF/8QjGHonTdjB/wAbLnvQWpffBWTSDrvSyQhmcQkEpBs/rnpuel1cOrBDLnpJ6nPt3bWVzENjYx65F68gwvBGLbe8yDb//p402+loOM/xpMXA+AbO5KRv/9V8x+ALbf+hlhpBcMLg7jHHwAGGt58hW1/eKhLf2v3oGyoa7mFQFMoqa2CaC0Att+NKycT2+fD9nuxmp/9Pmy/H9vvc34OBrADfuyADzsQaFqF1wIsCi+/CJNI4s7NcfZXsl2kHXE0o486pqk1xd7xALjnSKgp22mF32YWhIqxDjpFXaci0m8p5HQDY5Jsv/8PxMotINRx4XceSP1oJesJjskBILF+Hdsf+DPuQTnknnlMqkz1k0/SuPrjLtXHsqKEZowFILllG9VPPoPlcVP0g2+kyjS8/Sa1r63o0nXd6V6oKXVeRGM0vPcBACZcBkmnqyRespHIJ+u6dN1kXS00Vu+ov930NR2pg2idc6wpSGAbLMtgWYCN87MNNB2zbIOVkQ/BTHxDiyARa/6lEDx0AomqYdjBgBOoLAv/2JFknzEHy+3G8ribnj1Y3pY/e7C8XiyvB9vrdQKd29dcW4bc+P/AsnCFMsDtAdsmdNIcQid9yQkgtu1U1m4OJFZTOLFahJQWPzcd9+QdmDrXqa6hk25uakm0YKetDABnpV8FHBHpxyxjdm5jGDjC4TCZmZlUV1cTCu0mjHSBMUm2/PAbJNa82vqE1cbPQ6ZB1lAA0o+YSvr0yQDEKrax/ZGnsNOD5J33ldTbKv+5hFj51qb3W2BZzhe88/+a/qO/+bhzzD9+TOq6ifoGqh7/D9g2uWefkmpiqln2DrHScrDtpktbzs+2lboelo1l29B0zFOYR3DSOOczJ5NOSLIg/fBDsTxOfo58von4tiqnPi7nC9uybXC5wG7+2cayXU33s7ECfjyDcpp+TxbxqjCWbWGnpWG53U2/Y7A2v4P1+EW7/3uc+UcYdnjq95X6XTV/Tqwd51oea1XObvvcjnS1y7leMUalzTFhg7WVgYj0aZ39/lbI6YaQA2DWPoP1t7N3X+7svzZ9ATez2vyxtfZOWB2cbuPgLl/Cbb3R2ulwR9ex2jne8lzL61ltlG3/2C6hIZmA2yY6Y5w66JJhwaqB3WKh2X0i0s909vtb3VXdxDrgROcLdjdfwNbYOfrC2VO2y5mlpi6ZjmkrAxEZoDRtors0fwEDu7Z+6At4nxn/ZWeWWqio9fFQsWaviYgMcOqu6qbuqhSNidg/1CUjIjJgDJjuqrvuuotbbrmFsrIyJk+ezG9/+1umT5/e09XaYfyXYdxcfQF3N3XJiIjITvp0d9UjjzzCwoULufbaa3nnnXeYPHkys2fPpqKioqer1lrzF/CkM51nBRwREZFu16dDzq233sq3v/1tzjvvPMaPH8+9995LMBjkj3/8Y09XTURERHpYnw050WiUFStWMGvWrNQx27aZNWsWy5cvb/M9kUiEcDjc6iEiIiL9U58NOVu3biWRSFBQ0HpJ/4KCAsrKytp8z4033khmZmbqMXTo0P1RVREREekBfTbk7Imrr76a6urq1GPjxo09XSURERHpJn12dtWgQYNwuVyUl5e3Ol5eXk5hYWGb7/H5fPh8vjbPiYiISP/SZ1tyvF4vU6dOZenSpaljyWSSpUuXMnPmzB6smYiIiPQGfbYlB2DhwoXMmzePadOmMX36dG677Tbq6uo477zzerpqIiIi0sP6dMg566yz2LJlC9dccw1lZWVMmTKFxYsX7zIYWURERAYebevQ3ds6iIiIyD41YLZ12BvN+U7r5YiIiPQdzd/bu2unGdAhp6amBkDr5YiIiPRBNTU1ZGZmtnt+QHdXJZNJSkpKyMjIwLKsbr1XOBxm6NChbNy4UV1jfYj+bn2P/mZ9k/5ufU9P/s2MMdTU1FBcXIxttz9RfEC35Ni2zZAhQ/brPUOhkP4B7oP0d+t79Dfrm/R363t66m/WUQtOsz67To6IiIhIRxRyREREpF9SyNlPfD4f1157rbaV6GP0d+t79Dfrm/R363v6wt9sQA88FhERkf5LLTkiIiLSLynkiIiISL+kkCMiIiL9kkKOiIiI9EsKOd3suuuuw7KsVo9x48b1dLVkNzZv3sw3vvENcnNzCQQCTJo0ibfffrunqyUdGDFixC7/rFmWxfz583u6atKORCLBT3/6U0aOHEkgEGD06NH8/Oc/3+1+RNLzampqWLBgAcOHDycQCHDEEUfw1ltv9XS1djGgVzzeXyZMmMBzzz2Xeu1269fem1VWVnLkkUdy7LHH8swzz5CXl8fHH39MdnZ2T1dNOvDWW2+RSCRSr99//31OOOEEvvKVr/RgraQjv/rVr7jnnnt48MEHmTBhAm+//TbnnXcemZmZXHrppT1dPenAhRdeyPvvv8+f//xniouLeeihh5g1axarV69m8ODBPV29FE0h72bXXXcdjz/+OCtXruzpqkgnXXXVVbz22mu88sorPV0V2QsLFizgqaee4uOPP+72velkz5x88skUFBRw//33p46dccYZBAIBHnrooR6smXSkoaGBjIwM/vWvfzF37tzU8alTp3LSSSdxww039GDtWlN31X7w8ccfU1xczKhRozjnnHPYsGFDT1dJOvDEE08wbdo0vvKVr5Cfn88hhxzC73//+56ulnRBNBrloYce4vzzz1fA6cWOOOIIli5dykcffQTAf//7X1599VVOOumkHq6ZdCQej5NIJPD7/a2OBwIBXn311R6qVdsUcrrZjBkzWLRoEYsXL+aee+5h3bp1HH300dTU1PR01aQdn332Gffccw8HHHAAS5Ys4eKLL+bSSy/lwQcf7OmqSSc9/vjjVFVV8a1vfaunqyIduOqqqzj77LMZN24cHo+HQw45hAULFnDOOef0dNWkAxkZGcycOZOf//znlJSUkEgkeOihh1i+fDmlpaU9Xb1W1F21n1VVVTF8+HBuvfVWLrjggp6ujrTB6/Uybdo0li1bljp26aWX8tZbb7F8+fIerJl01uzZs/F6vTz55JM9XRXpwMMPP8wVV1zBLbfcwoQJE1i5ciULFizg1ltvZd68eT1dPenAp59+yvnnn8/LL7+My+Xi0EMPZezYsaxYsYIPP/ywp6uXohGw+1lWVhZjx47lk08+6emqSDuKiooYP358q2MHHXQQ//jHP3qoRtIV69ev57nnnuP//u//eroqshtXXHFFqjUHYNKkSaxfv54bb7xRIaeXGz16NC+99BJ1dXWEw2GKioo466yzGDVqVE9XrRV1V+1ntbW1fPrppxQVFfV0VaQdRx55JGvXrm117KOPPmL48OE9VCPpigceeID8/PxWAyKld6qvr8e2W38NuVwukslkD9VIuiotLY2ioiIqKytZsmQJp556ak9XqRW15HSzyy+/nFNOOYXhw4dTUlLCtddei8vl4mtf+1pPV03acdlll3HEEUfwy1/+kq9+9au8+eab3Hfffdx33309XTXZjWQyyQMPPMC8efO0VEMfcMopp/CLX/yCYcOGMWHCBN59911uvfVWzj///J6umuzGkiVLMMZw4IEH8sknn3DFFVcwbtw4zjvvvJ6uWmtGutVZZ51lioqKjNfrNYMHDzZnnXWW+eSTT3q6WrIbTz75pJk4caLx+Xxm3Lhx5r777uvpKkknLFmyxABm7dq1PV0V6YRwOGx+8IMfmGHDhhm/329GjRplfvzjH5tIJNLTVZPdeOSRR8yoUaOM1+s1hYWFZv78+aaqqqqnq7ULDTwWERGRfkljckRERKRfUsgRERGRfkkhR0RERPolhRwRERHplxRyREREpF9SyBEREZF+SSFHRERE+iWFHBEREemXFHJERESkX1LIERERkX5JIUdERET6JYUcERER6Zf+Px2RIPeyRgyTAAAAAElFTkSuQmCC", "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": 35, "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": 36, "id": "31fec657", "metadata": {}, "outputs": [], "source": [ "dely = res.eval_uncertainty(x=xfit)" ] }, { "cell_type": "code", "execution_count": 37, "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": 38, "id": "3e8ce4ca", "metadata": {}, "outputs": [ { "data": { "image/png": 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jioh4lkeHHGjfvj2DBw/mgQceIC0tjcaNG9O0aVN27drFE088wfjx4z21K69TFINbggaMkyujgVFFRArGsiEHtm3bRps2bQBYuHAhzZo1Y/369cybN4/Zs2d7cldlRt6AcXe1rEFs/SoKTHJZeQOjnj9sRd7AqAnbUi2qTESkZPNoaMrNzSUgIACA1atXc+eddwLQpEkTUlP1RS1S1OwOw6TPduT7xPm8eZM+26FLdSIiV8Cjoalp06bMmDGD//73v6xatYouXboAcPDgQapU0fD6IkVNA6OKiBQdj4amV155hX/+85906NCBvn370qJFCwA+/fRT12U7ESk6GhhVRKToePSBvR06dOD3338nIyODypUru+YPHjyY8uXLe3JXIpIPDYwqIlJ0PBqaAHx9fd0CE0CdOnU8vRsRyUfewKhp6Vn59mvKe9izBkYVESm8qw5N1113HTZbwe7o2rx589XuTkQuIW9g1KFzN2MDt+CkgVFFRK7OVYemnj17eqAMEfGUvIFRzx+nKULjNImIXBWPDm5ZlhXV4JYiV0oDo4qIXF5hfr893qdJRLxD3sCoIiLiGR4NTXa7nTfeeIOFCxeyb98+cnJy3JYfO6axYURERKRk8ug4TZMmTeL111+nd+/epKenM2rUKO655x58fHyYOHGiJ3clIiIiUqw8GprmzZvHO++8w+jRoylXrhx9+/bl3XffZfz48Xz99dee3JWIiIhIsfJoaEpLS6N58+YAVKxYkfT0dADuuOMOli1b5sldiYiIiBQrj4ammjVruh7MW79+fVauXAnAN99843qQr4iIiEhJ5NHQdPfdd5OYmAjAE088wQsvvEDDhg158MEHefjhhz25KxEREZFiVaTjNCUnJ5OcnEzDhg3p0aNHUe3GK2icJhERkZLHa8Zpio2NJTY2tih3ISIiIlIsPBqa/v3vf19y+YMPPujJ3YmIiIgUG49enqtcubLbdG5uLqdPn8bf35/y5cuXiMEt3377bV577TXS0tJo0aIFb775Jm3atLnsero8JyIiUvIU5vfbox3Bjx8/7vY6efIkO3fupF27drz//vue3FWRWLBgAaNGjWLChAls3ryZFi1aEB8fz+HDh60uTURESii7w5C85yifbPmN5D1HsTv0yNeSqlge2Pvtt99y//3389NPPxX1rq5K27ZtueGGG3jrrbcAcDgcREdH88QTT/Dss89ect28pHrw4EGdaRIREQBW/XiEySt2cygz2zWvenAA4+IbcPs11SysTPJkZGQQFRVlfUdw107KlePgwYPFsasrlpOTw6ZNmxg3bpxrno+PD3FxcSQnJ1/QPjs7m+zsP/4jyMjIACAqKqroixUREa8X1CiWaj3/DIDNZnPNT8s4w1OLtnFkyUuc+fnC3xfxXh4NTZ9++qnbtDGG1NRU3nrrLW6++WZP7srjfv/9d+x2O9WrV3ebX7169XzPkE2ePJlJkyYVV3kiIlKS2HwI6zTY+facwOSc9sEYB2GdBvPbrg1gHFZUKFfAo6GpZ8+ebtM2m41q1apx2223MWXKFE/uynLjxo1j1KhRrumMjAyio6N1eU5ERNi49zgD//P9RZfbbD6UC6nGmq2/0qZO5Yu2k6KXd3muIDwamhyOkpuWq1atiq+vL4cOHXKbf+jQISIiIi5oHxAQkO+jYSpUqECFChWKrE4REfF+GbknCtjOpt8Mi9nt9gK39ejdcyWZv78/rVu3dj0GBpwhMDExUQN0iohIoYQHB3q0nXiHqz7TdO4lqst5/fXXr3Z3RWrUqFEMGDCA66+/njZt2jB16lROnTrFwIEDrS5NRERKkDZ1w4gMDSQtPYv8blG3ARGhgbSpG1bcpclVuOrQ9N1337lNb968mbNnz9K4cWMAfv75Z3x9fWnduvXV7qrI9e7dmyNHjjB+/HjS0tJo2bIlCQkJF3QOFxERuRRfHxsTesQwdO5mbOAWnPK6hU/oEYOvjy2ftcVbeXScptdff52kpCTmzJnjGh38+PHjDBw4kPbt2zN69GhP7crraERwERE5X8K2VCZ9toPU9CzXvMjQQCb0iKFLs0gLK5M8hfn99mhoqlGjBitXrqRp06Zu87dt20bnzp29fqymq6HQJCIi+bE7DBtTjnE4M4vwYOclOZ1h8h6F+f326N1zGRkZHDly5IL5R44cITMz05O7EhHJl36gxNv4+tiIrV/F6jLEAzwamu6++24GDhzIlClTXA+53bBhA2PGjOGee+7x5K5ERC6gSyEiUpQ8ennu9OnTPP300/zrX/8iNzcXcD5CZdCgQbz22muleiwKXZ4TsVbCtlSGzt18wZ1KeeeYpt/fSsFJRC5gWZ+mPKdOnWLPnj0A1K9fv1SHpTwKTSLWsTsM7V5Z43aG6Vx5t3d/OfY2XaoTETeW9WnKU6FCBa699tqi2LSIyAU2phy7aGAC5+3eqelZbEw5pr4lInLFrjo03XPPPcyePZuQkJDL9lv6+OOPr3Z3IiIXOJx58cB0Je1ERPJz1aEpNDTU9QTn0NDQqy5IRKSw9MgKESkOVx2aZs2ale97EZHiokdWiEhx8OgDe8+cOcPp06dd07/++itTp05l5cqVntyNiIibvEdWwB93y+XRIytExFM8Gpruuusu/v3vfwNw4sQJ2rRpw5QpU7jrrruYPn26J3clIuKmS7NIpt/fiohQ90twEaGBGm5ARDzCo3fPbd68mTfeeAOADz/8kIiICL777js++ugjxo8fz9ChQz25OxERN12aRXJ7TIRGBBeRIuHR0HT69GmCg4MBWLlyJffccw8+Pj7ceOON/Prrr57clYhIvvTIChEpKh69PNegQQOWLFnC/v37WbFiBZ07dwbg8OHDGvBRRERESjSPhqbx48fz9NNPU6dOHdq0aUNsbCzgPOt03XXXeXJXIiIiUkbYHYbkPUf5ZMtvJO85it3h8YeZFIjHH6OSlpZGamoqLVq0wMfHmck2btxISEgITZo08eSuvIoeoyIiIuJ5Rf0g7sL8fnv0TBNAREQEwcHBrFq1ijNnzgBwww03lOrAJCIiIp6X9yDu8x+TlJaexdC5m0nYllqs9Xg0NB09epROnTrRqFEjunXrRmqq88MMGjSI0aNHe3JXIiIiUorZHYZJn+3Id8DavHmTPttRrJfqPBqaRo4ciZ+fH/v27aN8+fKu+b179yYhIcGTuxIREZFSrDAP4i4uHh1yYOXKlaxYsYKaNWu6zW/YsKGGHBAREZEC88YHcXv0TNOpU6fczjDlOXbsGAEBAZ7clYiIiJRi3vggbo+Gpvbt27seowJgs9lwOBy8+uqrdOzY0ZO7EhERkVIs70HcFxvP34bzLrrifBC3Ry/Pvfbaa9x22218++235OTk8Mwzz7B9+3aOHTvGV1995cldiYiISCmW9yDuoXM3YwO3DuFWPYjbY2eacnNzefLJJ/nss89o164dd911F6dOneKee+7hu+++o379+p7alYiIiJQB3vYgbo8OblmtWjXWr19Pw4YNPbXJEkODW4qIiBQNu8MU2YO4LRvc8v777+e9997z5CZFRESkjMt7EPddLWsQW79KsV6SO5dHQ9PZs2eZPn06119/PY899hijRo1yexWFOnXqYLPZ3F4vv/yyW5sffviB9u3bExgYSHR0NK+++uoF21m0aBFNmjQhMDCQ5s2bs3z58iKpV0REREomj3YE37ZtG61atQLg559/dltmsxVdKvzLX/7Co48+6poODg52vc/IyKBz587ExcUxY8YMtm7dysMPP0ylSpUYPHgwAOvXr6dv375MnjyZO+64g/nz59OzZ082b95Ms2bNiqxuERERKTk8/sDe4lanTh1GjBjBiBEj8l0+ffp0nnvuOdLS0vD39wfg2WefZcmSJfz000+Ac8TyU6dOsXTpUtd6N954Iy1btmTGjBkFqkN9mkREREoeSx/Ya4WXX36ZKlWqcN111/Haa69x9uxZ17Lk5GRuueUWV2ACiI+PZ+fOnRw/ftzVJi4uzm2b8fHxJCcnX3Sf2dnZZGRkuL1ERESk9PLo5TkrPPnkk7Rq1YqwsDDWr1/PuHHjSE1N5fXXXwcgLS2NunXruq1TvXp117LKlSuTlpbmmndum7S0tIvud/LkyUyaNMnDn0ZERES8lVeeaXr22Wcv6Nx9/ivv0tqoUaPo0KED1157LUOGDGHKlCm8+eabZGdnF2mN48aNIz093fXav39/ke6vrLM7DMl7jvLJlt9I3nO0WJ9qLSIiAl56pmn06NE89NBDl2xTr169fOe3bduWs2fPsnfvXho3bkxERASHDh1ya5M3HRER4fpnfm3ylucnICBAz9MrJgnbUpn02Q63p11HhgYyoUdMsQ9sJiIiZZdXhqZq1apRrVq1K1p3y5Yt+Pj4EB4eDkBsbCzPPfccubm5+Pn5AbBq1SoaN25M5cqVXW0SExPdOpOvWrWK2NjYq/sgctUStqUydO5mzj+vlJaexdC5my0ZEVZERMomr7w8V1DJyclMnTqV77//nl9++YV58+YxcuRI7r//flcg6tevH/7+/gwaNIjt27ezYMECpk2b5jZu1FNPPUVCQgJTpkzhp59+YuLEiXz77bcMHz7cqo8mOC/JTfpsxwWBCf54BtGkz3boUp2IiBSLEh2aAgIC+OCDD7j11ltp2rQpf/3rXxk5ciQzZ850tQkNDWXlypWkpKTQunVrRo8ezfjx411jNAHcdNNNzJ8/n5kzZ9KiRQs+/PBDlixZojGaLLYx5ZjbJbnzGSA1PYuNKceKrygRESmzSvw4Td5C4zR53idbfuOpD7Zctt20Pi25q2WNoi9IRERKnTI3TpOUTuHBgZdvVIh2IiIiV0OhSbxWm7phRIYGcrEH8Nhw3kXXpm5YcZYlIiJllEKTeC1fHxsTesQAXBCc8qYn9Iix7GnXIiJStnjlkAMlUV7XMD1OxbNuqlWBv/VsyMuf/8ShjD8GLK0eEsCzXZtwU60KOuYiInLF8n5DCtLFWx3BPeTAgQNER0dbXYaIiIhcgf3791OzZs1LtlFo8hCHw8HBgwcJDg7GZivay0UZGRlER0ezf//+Mnunno6BjkEeHQcdA9AxyKPjUPhjYIwhMzOTqKgofHwu3WtJl+c8xMfH57IJ1dNCQkLK7H8UeXQMdAzy6DjoGICOQR4dh8Idg9DQ0AK1U0dwERERkQJQaBIREREpAIWmEiggIIAJEyYQEBBgdSmW0THQMcij46BjADoGeXQcivYYqCO4iIiISAHoTJOIiIhIASg0iYiIiBSAQpOIiIhIASg0iYiIiBSAQpOIiIhIASg0iYiIiBSAQpOIiIhIASg0iYiIiBSAQpOIiIhIASg0iYiIiBSAQpOIiIhIASg0iYiIiBSAQpOIiIhIASg0iYiIiBSAQpOIiIhIASg0iYiIiBSAQpOIiIhIASg0iYiIiBSAQpOIiIhIASg0iYiIiBSAQpOIiIhIASg0iYiIiBSAQpOIiIhIASg0iYiIiBSAQpOIiIhIASg0iYiIiBSAQpOIiIhIASg0iYiIiBSAQpOIiIhIASg0iYiIiBSAQpOIiIhIASg0iYiIiBSAQpOIiIhIASg0iYiIiBSAQpOIiIhIASg0iYiIiBRAOasLKC0cDgcHDx4kODgYm81mdTkiIiJSAMYYMjMziYqKwsfn0ueSFJo85ODBg0RHR1tdhoiIiFyB/fv3U7NmzUu2UWjykODgYMB50ENCQiyuRkRERAoiIyOD6Oho1+/4pSg0eUjeJbmQkBCFJhERkRKmIF1r1BFcREREpAAUmkREREQKQKFJREREpADUp6mY2e12cnNzrS6jTPLz88PX19fqMkREpIRSaComxhjS0tI4ceKE1aWUaZUqVSIiIkJjaYmISKEpNBWTvMAUHh5O+fLl9aNdzIwxnD59msOHDwMQGRlpcUUiIlLSKDQVA7vd7gpMVapUsbqcMisoKAiAw4cPEx4erkt1IiJSKOoIXgzy+jCVL1/e4kok79+B+pWJiEhhKTQVI12Ss57+HYiIyJXS5TkRERHxanaHYWPKMQ5nZhEeHEibumH4+hT//wQrNEmhdejQgZYtWzJ16lSrSxERkVIuYVsqkz7bQWp6lmteZGggE3rE0KVZ8d7Uo8tzJYzdYUjec5RPtvxG8p6j2B3G6pIuKSkpCZvNpqEWRESk0BK2pTJ07ma3wASQlp7F0LmbSdiWWqz16ExTCeJNaVtERKQo2R2GSZ/tIL9TAwawAZM+28HtMRHFdqlOZ5pKCKvS9qlTp3jwwQepWLEikZGRTJkyxW35f/7zH66//nqCg4OJiIigX79+rrGQ9u7dS8eOHQGoXLkyNpuNhx56yPl5EhJo164dlSpVokqVKtxxxx3s2bOnSD6DiIiUPBtTjl3wm3cuA6SmZ7Ex5Vix1aTQVAJcLm2DM20XxaW6MWPGsG7dOj755BNWrlxJUlISmzdvdi3Pzc3lxRdf5Pvvv2fJkiXs3bvXFYyio6P56KOPANi5cyepqalMmzYNcIaxUaNG8e2335KYmIiPjw933303DofD459BRERKnsOZFw9MV9LOE3R5rgQoTNqOre+5wTNPnjzJe++9x9y5c+nUqRMAc+bMoWbNmq42Dz/8sOt9vXr1+Pvf/84NN9zAyZMnqVixImFhYQCEh4dTqVIlV9tevXq57etf//oX1apVY8eOHTRr1sxjn0FEREqm8OBAj7bzBJ1pKgGsStt79uwhJyeHtm3buuaFhYXRuHFj1/SmTZvo0aMHtWrVIjg4mFtvvRWAffv2XXLbu3btom/fvtSrV4+QkBDq1KlToPVERKQMcDhoUx3aBh+lte1n4nw2ca9vErE+211NbDj79bapG1ZsZelMUwngjWkbnJfY4uPjiY+PZ968eVSrVo19+/YRHx9PTk7OJdft0aMHtWvX5p133iEqKgqHw0GzZs0uu56IiJQwDjucOQFnjsHpo/97nfP+zLFzpv/3zzPH8cWwACDgj00ttt9MsqMped2+J/SIKdbxmiwNTdOnT2f69Ons3bsXgKZNmzJ+/Hi6du0KOMcDWrdunds6jz32GDNmzHBN79u3j6FDh7J27VoqVqzIgAEDmDx5MuXK/fHRkpKSGDVqFNu3byc6Oprnn3/e1e8mz9tvv81rr71GWloaLVq04M0336RNmzZF88ELqU3dMCJDA0lLz8q3X5MNiCiCtF2/fn38/PzYsGEDtWrVAuD48eP8/PPP3Hrrrfz0008cPXqUl19+mejoaAC+/fZbt234+/sDzufv5Tl69Cg7d+7knXfeoX379gB8+eWXHq1dRMRbeMvAjB7hsMOZ4+eEm/ODUD7zz5yAfH+9CiAghNPlQkk5Hcjhs+XZ4agNOH/zrLhz3NLQVLNmTV5++WUaNmyIMYY5c+Zw11138d1339G0aVMAHn30Uf7yl7+41jn3+W12u53u3bsTERHB+vXrSU1N5cEHH8TPz4+XXnoJgJSUFLp3786QIUOYN28eiYmJPPLII0RGRhIfHw/AggULGDVqFDNmzKBt27ZMnTqV+Ph4du7cSXh4eDEekfz5+tiY0COGoXM3Y8P9T68o03bFihUZNGgQY8aMoUqVKoSHh/Pcc8/h4+O8qlurVi38/f158803GTJkCNu2bePFF19020bt2rWx2WwsXbqUbt26ERQUROXKlalSpQozZ84kMjKSffv28eyzz3q0dhERb+DVQ8XYz0LWiQvP/pw5dmEIypt/VQEoFMqH/e9VxfkKOnc67Jx5VSCoMpTzpzzQxGHISDlGs8ws3rcweNqMMV41OmJYWBivvfYagwYNuuzI059//jl33HEHBw8epHr16gDMmDGDsWPHcuTIEfz9/Rk7dizLli1j27ZtrvX69OnDiRMnSEhIAKBt27bccMMNvPXWWwA4HA6io6N54oknCvxjnpGRQWhoKOnp6YSEhLgty8rKIiUlhbp16xIYeOWX0Kz4j+/kyZMMHTqUjz/+mODgYEaPHs2yZctc/17ef/99/vznP5OamkqrVq0YN24cd955J9999x0tW7YE4MUXX+Qf//gHhw4d4sEHH2T27NmsXr2aJ598kl9++YXGjRvz97//nQ4dOrB48WJ69uxZJJ8FPPfvQkTkcvKGijn/Rzbvp376/a08991tP/u/M0Dnh56jrstdF4SjrBNXvr/A0D/CzbmBp3zYOfPPDUeVwdfPM5/Vwy71+30+rwlNdrudRYsWMWDAAL777jtiYmLo0KED27dvxxhDREQEPXr04IUXXnCdbRo/fjyffvopW7ZscW0nJSWFevXqsXnzZq677jpuueUWWrVq5Ra8Zs2axYgRI0hPTycnJ4fy5cvz4Ycfuv1YDxgwgBMnTvDJJ5/kW292djbZ2dmu6YyMDKKjo4s0NEEpO81rAYUmESkOdoeh3StrLnrnc163ii/H3nbhd7j9rHs/n4JcAstKv/JiA0PPO/NT5SJnhPJCkfcGoCtRmNBkeUfwrVu3EhsbS1ZWFhUrVmTx4sXExMQA0K9fP2rXrk1UVBQ//PADY8eOZefOnXz88ccApKWluc4w5cmbTktLu2SbjIwMzpw5w/Hjx7Hb7fm2+emnny5a9+TJk5k0adLVffgr4Otj8+iwAiIi4nnnDxUTRBZNbXupYssgzJZJZU5S+VQmR+fOJdz3lPslsKsKQJXyP8tzwRmh/wWhoMrga3kUKDEsP1KNGzdmy5YtpKen8+GHHzJgwADWrVtHTEwMgwcPdrVr3rw5kZGRdOrUiT179lC/fn0Lq4Zx48YxatQo13TemSYREZEj6SdpZfuZm3y20853G61sP+Nvs1/Y8JdLbCSocj6XwM7r93NuEAqspABUxCw/uv7+/jRo0ACA1q1b88033zBt2jT++c9/XtA2b7yg3bt3U79+fSIiIti4caNbm0OHDgEQERHh+mfevHPbhISEEBQUhK+vL76+vvm2ydtGfgICAggICLjochERKUOMgSM74ZckSFlHt1++4M6Ak25NUk0Yv5mqHDcVOW6COUYwXW+IoXZ09IVBKKgS+Pha8lHk4iwPTedzOBxufYXOldd3KTLS2XEuNjaWv/71rxw+fNh1l9uqVasICQlxXeKLjY1l+fLlbttZtWoVsbGxgDO0tW7dmsTERFefJofDQWJiIsOHD/f0xxMRkdIi/TdIWQe/rHOGpZNprkXlgAwq8pU9hi8dzfjS0YxfTXXyuoHn9Wl6tMdtoH6pJYaloWncuHF07dqVWrVqkZmZyfz580lKSmLFihXs2bOH+fPn061bN6pUqcIPP/zAyJEjueWWW7j22msB6Ny5MzExMTzwwAO8+uqrpKWl8fzzzzNs2DDXWaAhQ4bw1ltv8cwzz/Dwww+zZs0aFi5cyLJly1x1jBo1igEDBnD99dfTpk0bpk6dyqlTpxg4cKAlx0VERLzQmROw98v/BaUk+P1n9+XlAqHWjVCvA9TrwPqj1Xh83vdA8Q0VI0XL0tB0+PBhHnzwQVJTUwkNDeXaa69lxYoV3H777ezfv5/Vq1e7Akx0dDS9evXi+eefd63v6+vL0qVLGTp0KLGxsVSoUIEBAwa4jetUt25dli1bxsiRI5k2bRo1a9bk3XffdY3RBNC7d2+OHDnC+PHjSUtLo2XLliQkJFzQOVxERMqQs9mwf4MzIP2yDg5uBnPOQ8VtPhDZ0hWSiG4Lfn/cldslCqbf73vBUDFWDcwoV89rhhwo6YpjnCa5evp3ISIX5XBA2g//C0lJsO9rOHvGvU2VBn+EpDrtnJ21L0NDxXi3EjXkgIiIiCWMgeMpf4SklP86b/k/V4XwP0JSvVshtGahd6OhYkoPhSYRESk7Th75o09Syjo4sc99uX8w1Ln5j6BUrQnYdFZInBSa5JIu9yib4rRkyRKefvppUlJSeOKJJ2jZsiUjRozgxIkTVpcmIt4q+yTsS/7jbNKhbe7Lffyg5g1/hKQarUrVaNfiWQpNYqmkpCQ6duzI8ePHqVSp0iXbPvbYYwwcOJAnn3yS4OBgypUrR7du3VzLJ06cyJIlS9weqyMiZYw9F37b/EdIOvANOHLd21Rv7rzUVq8D1IqFgIoWFColkUKTlAgnT57k8OHDxMfHExUV5ZofFBRkYVUiYjlj4MhPf4SkvV9CjvugkoTW+iMk1b0VKlazoFApDXysLkC839mzZxk+fDihoaFUrVqVF154gXNvuszOzubpp5+mRo0aVKhQgbZt25KUlORa/uuvv9KjRw8qV65MhQoVaNq0KcuXL2fv3r107NgRgMqVK2Oz2XjooYcu2H9SUhLBwcEA3HbbbdhsNpKSkpg9e7br7NTs2bOZNGkS33//PTabDZvNxuzZs4vqkIiIldIPwHfz4KNHYUpj+MeNkPAs/JzgDExBlSHmLrjjDXjyOxjxA9z1FjT/kwKTXBWdabKKMZB7uvj361e+0J0a58yZw6BBg9i4cSPffvstgwcPplatWjz66KMADB8+nB07dvDBBx8QFRXF4sWL6dKlC1u3bqVhw4YMGzaMnJwcvvjiCypUqMCOHTuoWLEi0dHRfPTRR/Tq1YudO3e6Hm1zvptuuomdO3fSuHFjPvroI2666SbCwsLYu3evq03v3r3Ztm0bCQkJrF69GoDQ0NArP04i4j3OHHeeQco7m3R0t/vycoHOy2x5/ZIirgUfnRMQz1NoskruaXgp6vLtPO3PB8G/QqFWiY6O5o033sBms9G4cWO2bt3KG2+8waOPPsq+ffuYNWsW+/btc102e/rpp0lISGDWrFm89NJL7Nu3j169etG8eXMA6tWr59p2WFgYAOHh4Rft0+Tv7+96TE5YWFi+zwQMCgqiYsWKlCtX7pLPDBSREiA365xBJZMgdcuFg0pGtfrjklvNNm6DSooUFYUmuawbb7wR2zlnp2JjY5kyZQp2u52tW7dit9tp1KiR2zrZ2dlUqeIcl+TJJ59k6NChrFy5kri4OHr16uV6FI6ICA57PoNKZrm3qdrI2R/JNahkpeKvU8o8hSar+JV3nvWxYr8edPLkSXx9fdm0aRO+vu5P5K5Y0XlHyiOPPEJ8fDzLli1j5cqVTJ48mSlTpvDEE094tBYRKSGMgWO/nDOo5BeQdcK9TcUI987boTWKv06R8yg0WcVmK/RlMqts2LDBbfrrr7+mYcOG+Pr6ct1112G32zl8+DDt27e/6Daio6MZMmQIQ4YMYdy4cbzzzjs88cQT+Pv7A2C326+6Tn9/f49sR0SKwMnDzue3pSQ5/5m+3325f7DzDJJrUMnGGlRSvI5Ck1zWvn37GDVqFI899hibN2/mzTffZMqUKQA0atSI/v378+CDDzJlyhSuu+46jhw5QmJiItdeey3du3dnxIgRdO3alUaNGnH8+HHWrl3LNddcA0Dt2rWx2WwsXbqUbt26ufomXYk6deqQkpLCli1bqFmzJsHBwQQEBHjsOIhIIWRnwq/rnQHplyQ4vN19uY+f8wG3eWeTolqBr36SxLvpL1Qu68EHH+TMmTO0adMGX19fnnrqKQYPHuxaPmvWLP7v//6P0aNH89tvv1G1alVuvPFG7rjjDsB5FmnYsGEcOHCAkJAQunTpwhtvvAFAjRo1mDRpEs8++ywDBw7kwQcfvOKhAnr16sXHH39Mx44dOXHiBLNmzcp3CAMRKSKZh2DTrHMGlTzrvjyi+f/6JXWE2rEl5my7SB6bOXfAHblil3pKclZWFikpKdStW5fAQN3hYSX9uxApIr9thvf7wsm0P+ZVquUMSPVudYalClWtq0/kIi71+30+nWkSEZGrs30JLB4CZ89A1cZw41DnJbewulZXJuJRCk0iInJljIH//g3W/B8Ax6NuZf11rxFWuSptKoXhe5nVRUoahSYRESm83Cz49AnYuhCABb7d+fMvfbD/shvYTWRoIBN6xNClWaS1dYp4kMaZFxGRwjl5BP59J2xdiMPmy3O5DzP2VH/s55xbSkvPYujczSRsS7WwUBHPUmgSEZGCO7QD3rkN9m/ABIQwotzzzLPHXdAs7w6jSZ/twO7Q/UZSOig0FSOHw3H5RlKk9O9A5Cr8vBLe6wzp+6ByXbbEf8SnmY0v2twAqelZbEw5Vnw1ihQh9WkqBv7+/vj4+HDw4EGqVauGv7+/27PcpOgZY8jJyeHIkSP4+Pi4RiIXkQIwBr6eDiufcz44t3Y76P0f9v18Bjhy2dUPZ2Zdto1ISaDQVAx8fHyoW7cuqampHDxowfPmxKV8+fLUqlULHx+dZBUpEHsuLB/jHLQS4LoHoPvrUM6f8OCjBdpEeLDGRJPSQaGpmPj7+1OrVi3Onj2r56NZxNfXl3Llyuksn0hBnTkOCwdAyjrABp1fhNjhrmfCtakbRmRoIGnpWeTXa8kGRIQG0qZuWHFWLVJkFJqKkc1mw8/PDz8/P6tLERG5tKN7YP59cHQ3+FWAXu9Ck25uTXx9bEzoEcPQuZuxgVtwyvtfkwk9YvD10f+oSOmgaxQiIuIu5QvnHXJHd0NITRi04oLAlKdLs0im39+KiFD3S3ARoYFMv7+VxmmSUkVnmkRE5A+b5sCyUc6H7da4HvrMh+Dql1ylS7NIbo+JYGPKMQ5nZhEe7LwkpzNMUtooNImICDjssGo8JL/lnG7WC+56G/yCCrS6r4+N2PpVirBAEespNImIlHXZmfDRI/BzgnO6wzi4dayrw7eIOCk0iYiUZSf2wfw+cHg7lAuEnv9wnmUSkQsoNImIlFX7v4EP+sKpI1AhHPq+DzWvt7oqEa+l0CQiUhZt/RCWPA72bKje3BmYKkVbXZWIV1NoEhEpSxwOWPcyrHvFOd24G9zzDgRUtLYukRJAoUlEpKzIPQNLhsL2xc7pm56EuIng42tpWSIlhUKTiEhZkJkG7/eFg5vBpxzcMRVaPWB1VSIlikKTiEhpl/oDvN8HMn6DoMrQey7UaWd1VSIljkKTiEhp9tMy+OhRyD0FVRpCvwVQpb7VVYmUSApNIiKlkTHw1TRYPREwUK8D3DvbeaZJRK6IQpOISGlzNgeWjoQtc53T1w+Crq+Ar5+1dYmUcApNIiKlyamjsPAB+PUrsPlAl5ehzWA9EkXEAxSaRERKiyM7Yf59cHwv+AfDvbOg4e1WVyVSaig0iYiUBrsTYdFAyE6HSrWg30IIv8bqqkRKFYUmEZGSbuM78PlYMHaIvhH6zIMKVa2uSqTUUWgSESmp7GdhxTjYONM53aIv9JgG5QKsrUuklFJoEhEpibLSnZfj9iQ6pzuNh3aj1OFbpAgpNImIlDTHUpwjfB/5CcoFwT0zIeZOq6sSKfUUmkRESpJf18OC++H0UQiOhL4fQFRLq6sSKRN8rNz59OnTufbaawkJCSEkJITY2Fg+//xz1/KsrCyGDRtGlSpVqFixIr169eLQoUNu29i3bx/du3enfPnyhIeHM2bMGM6ePevWJikpiVatWhEQEECDBg2YPXv2BbW8/fbb1KlTh8DAQNq2bcvGjRuL5DOLiFyxLfNhzp3OwBTZEh5do8AkUowsDU01a9bk5ZdfZtOmTXz77bfcdttt3HXXXWzfvh2AkSNH8tlnn7Fo0SLWrVvHwYMHueeee1zr2+12unfvTk5ODuvXr2fOnDnMnj2b8ePHu9qkpKTQvXt3OnbsyJYtWxgxYgSPPPIIK1ascLVZsGABo0aNYsKECWzevJkWLVoQHx/P4cOHi+9giIhcjMPhfBzKkqHgyIVr7oSBn0NIlNWViZQtxstUrlzZvPvuu+bEiRPGz8/PLFq0yLXsxx9/NIBJTk42xhizfPly4+PjY9LS0lxtpk+fbkJCQkx2drYxxphnnnnGNG3a1G0fvXv3NvHx8a7pNm3amGHDhrmm7Xa7iYqKMpMnTy5w3enp6QYw6enphfvAIiKXkn3SmPf7GTMhxPlaPckYu93qqkRKjcL8flt6pulcdrudDz74gFOnThEbG8umTZvIzc0lLi7O1aZJkybUqlWL5ORkAJKTk2nevDnVq1d3tYmPjycjI8N1tio5OdltG3lt8raRk5PDpk2b3Nr4+PgQFxfnapOf7OxsMjIy3F4iIh6V/hv8qwv8tBR8/eHufzrvkvPxmq9ukTLF8v/ytm7dSsWKFQkICGDIkCEsXryYmJgY0tLS8Pf3p1KlSm7tq1evTlpaGgBpaWlugSlved6yS7XJyMjgzJkz/P7779jt9nzb5G0jP5MnTyY0NNT1io6OvqLPLyKSr982wzu3QdoPUL4qDPgMWvSxuiqRMs3y0NS4cWO2bNnChg0bGDp0KAMGDGDHjh1Wl3VZ48aNIz093fXav3+/1SWJSGmxfQnM6gYn06DaNc4O37VutLoqkTLP8iEH/P39adCgAQCtW7fmm2++Ydq0afTu3ZucnBxOnDjhdrbp0KFDREREABAREXHBXW55d9ed2+b8O+4OHTpESEgIQUFB+Pr64uvrm2+bvG3kJyAggIAAjborIh5kDHzxN1j7f87pBrfDn/4FgSHW1iUigBecaTqfw+EgOzub1q1b4+fnR2JiomvZzp072bdvH7GxsQDExsaydetWt7vcVq1aRUhICDExMa42524jr03eNvz9/WndurVbG4fDQWJioquNiEiRy82Cjwf/EZjaDnWOwaTAJOI1LD3TNG7cOLp27UqtWrXIzMxk/vz5JCUlsWLFCkJDQxk0aBCjRo0iLCyMkJAQnnjiCWJjY7nxRudp6s6dOxMTE8MDDzzAq6++SlpaGs8//zzDhg1znQUaMmQIb731Fs888wwPP/wwa9asYeHChSxbtsxVx6hRoxgwYADXX389bdq0YerUqZw6dYqBAwdaclxEpIw5eQQW9If9G8DmC93/Btc/bHVVInK+Yrib76IefvhhU7t2bePv72+qVatmOnXqZFauXOlafubMGfP444+bypUrm/Lly5u7777bpKamum1j7969pmvXriYoKMhUrVrVjB492uTm5rq1Wbt2rWnZsqXx9/c39erVM7NmzbqgljfffNPUqlXL+Pv7mzZt2pivv/66UJ9FQw6IyBVJ227M682cwwlMjjZm9xqrKxIpUwrz+20zxhirg1tpkJGRQWhoKOnp6YSE6HS6iBTAzyvhw4chJxPC6kG/hVC1odVViZQphfn9trwjuIhImWMMfD0dVj4HxgF12sN9/4byYVZXJiKXoNAkIlKc7Lmw/GnYNNs5fd0D0P11KOdvaVkicnkKTSIixeXMcVj4IKR8Adig84sQOxxsNqsrE5ECUGgSESkOR/fA/Pvg6G7wqwB/eg8ad7W6KhEpBIUmEZGilvIFLHgAsk5ASE3o9wFENLe6KhEpJIUmEZGitGkOLBsFjrNQ43roMx+Cq19+PRHxOgpNIiJFwWGHVeMh+S3ndLM/wV1vgV+QtXWJyBVTaBIR8bTsTPjoEfg5wTnd4c9w6zPq8C1Swik0iYh40ol9ML8PHN4O5QKh5z+gWS+rqxIRD1BoEhHxlP3fwAd94dQRqBAOfd+HmtdbXZWIeIhCk4iIJ/ywCD4ZBvZsqN7cGZgqRVtdlYh4kEKTiMjVcDggaTJ88apzunE3uOcdCKhobV0i4nEKTSIiVyr3DCwZCtsXO6dvehLiJoKPr6VliUjRUGgSEbkSmWnwfl84uBl8/OCON6DVA1ZXJSJFSKFJRKSwUn+A9/tAxm8QVBl6z4U67ayuSkSKmEKTiEhh/LQMPnoUck9B1UbQ9wOoUt/qqkSkGCg0iYgUhDHw1TRYPREwUK8j3DsbgipZW5eIFBuFJhGRyzmbA0tHwpa5zukbHoEuL4Ovn7V1iUixUmgSEbmUU0dh4QPw61dg84Eur0DbwVZXJSIWUGgSEbmYIzth/n1wfC/4BzsvxzWMs7oqEbGIQpOISH52J8KigZCdDpVqQ78FEH6N1VWJiIUUmkREzrfxHfh8LBg7RN8IfeZBhapWVyUiFlNoEhHJYz8LK8bBxpnO6RZ9occ0KBdgbV0i4hUUmkREALLSnZfj9iQ6pztNgHYjwWazti4R8RoKTSIix1Jgfm/4fSf4lYe7/wkxd1pdlYh4GYUmESnbfl0PH/SHM8cgONI5wndUS6urEhEvpNAkImXXlvnw6ZPgyIXIls7AFBJpdVUi4qUUmkSk7HE4YM1f4Ms3nNMxd0HPGeBf3tq6RMSrKTSJSNmScwo+Hgw/LXVOt38aOj4HPj7W1iUiXk+hSURKFbvDsDHlGIczswgPDqRN3TB8ff53B1z6b/B+H0j7AXz94c63oEVvawsWkRJDoUlESo2EbalM+mwHqelZrnmRoYFM6BFDl8qp8H5fOJkG5as6B6ysdaOF1YpISaPQJCKlQsK2VIbO3Yw5b35aehafzp/O7UH/xNeeBdWucT4SpXJtS+oUkZJLoUlESjy7wzDpsx0XBCYwDPNdwtN+i8AOpsHt2P70LwgMsaBKESnpFJpEpMTbmHLM7ZIcQAA5vOz3Dnf7fgXAe2e7EtN2GrEKTCJyhRSaRKTEO5zpHpiqkM5M/9dp7bOLs8aH8WcHMt/eiWmnzlpUoYiUBgpNIlLihQcHut7XtaXyH//J1LT9Tropz9DcEax3NLugnYhIYSk0iUiJ16ZuGJGhgRxLz+Rtv79T0/Y7KY7qDModwy8mChsQEeocfkBE5EppNDcRKfF8fWxM6BHDiHIfEuPzK0dNMPflTHAFJoAJPWL+GK9JROQK6EyTiJQKXYJTMOWco3yPy32EI1QCnGeYJvSIoUszPVNORK6OQpOIlHxZGfDxY9gwOFrez8DmT9A9vxHBRUSugkKTiJR8Cc9C+j6oVBufri8TGxBsdUUiUgqpT5OIlGw7PoUt88DmA3f/ExSYRKSIKDSJSMmVmQafPeV8f/MIqB1raTkiUropNIlIyWQMfDIczhyDiObQYZzVFYlIKafQJCIl07f/gt2rwDcA7nkHyvlbXZGIlHIKTSJS8vy+G1Y+73wfNxHCr7G0HBEpGywNTZMnT+aGG24gODiY8PBwevbsyc6dO93adOjQAZvN5vYaMmSIW5t9+/bRvXt3ypcvT3h4OGPGjOHsWfdnTCUlJdGqVSsCAgJo0KABs2fPvqCet99+mzp16hAYGEjbtm3ZuHGjxz+ziFwley4sHgy5p6HurdB2yOXXERHxAEtD07p16xg2bBhff/01q1atIjc3l86dO3Pq1Cm3do8++iipqamu16uvvupaZrfb6d69Ozk5Oaxfv545c+Ywe/Zsxo8f72qTkpJC9+7d6dixI1u2bGHEiBE88sgjrFixwtVmwYIFjBo1igkTJrB582ZatGhBfHw8hw8fLvoDISIF998p8NsmCAyFntPBRyfMRaR42Iwxxuoi8hw5coTw8HDWrVvHLbfcAjjPNLVs2ZKpU6fmu87nn3/OHXfcwcGDB6levToAM2bMYOzYsRw5cgR/f3/Gjh3LsmXL2LZtm2u9Pn36cOLECRISEgBo27YtN9xwA2+99RYADoeD6OhonnjiCZ599tnL1p6RkUFoaCjp6emEhIRczWEQkYs5sAneux2MHXq9B83/ZHVFIlLCFeb326v+Fy09PR2AsDD3h2rOmzePqlWr0qxZM8aNG8fp06ddy5KTk2nevLkrMAHEx8eTkZHB9u3bXW3i4uLcthkfH09ycjIAOTk5bNq0ya2Nj48PcXFxrjYiYrGcU/Dxo87A1OxPCkwiUuy8ZkRwh8PBiBEjuPnmm2nWrJlrfr9+/ahduzZRUVH88MMPjB07lp07d/Lxxx8DkJaW5haYANd0WlraJdtkZGRw5swZjh8/jt1uz7fNTz/9lG+92dnZZGdnu6YzMjKu8JOLSIGsfAGO7YHgKOj+N6urEZEyyGtC07Bhw9i2bRtffvml2/zBgwe73jdv3pzIyEg6derEnj17qF+/fnGX6TJ58mQmTZpk2f5FypRdq+Db95zve/4DgipbW4+IlElecXlu+PDhLF26lLVr11KzZs1Ltm3bti0Au3fvBiAiIoJDhw65tcmbjoiIuGSbkJAQgoKCqFq1Kr6+vvm2ydvG+caNG0d6errrtX///gJ+WhEplFNH4ZNhzvdth0L9jtbWIyJllqWhyRjD8OHDWbx4MWvWrKFu3bqXXWfLli0AREZGAhAbG8vWrVvd7nJbtWoVISEhxMTEuNokJia6bWfVqlXExjofueDv70/r1q3d2jgcDhITE11tzhcQEEBISIjbS0Q8zBhY+hScPATVmkDcBKsrEpEyzNLLc8OGDWP+/Pl88sknBAcHu/oghYaGEhQUxJ49e5g/fz7dunWjSpUq/PDDD4wcOZJbbrmFa6+9FoDOnTsTExPDAw88wKuvvkpaWhrPP/88w4YNIyAgAIAhQ4bw1ltv8cwzz/Dwww+zZs0aFi5cyLJly1y1jBo1igEDBnD99dfTpk0bpk6dyqlTpxg4cGDxHxgRcfr+ffjxM/Dxg3tmgl+Q1RWJSFlmLATk+5o1a5Yxxph9+/aZW265xYSFhZmAgADToEEDM2bMGJOenu62nb1795quXbuaoKAgU7VqVTN69GiTm5vr1mbt2rWmZcuWxt/f39SrV8+1j3O9+eabplatWsbf39+0adPGfP311wX+LOnp6Qa4oDYRuULH9hrz1xrGTAgx5ou/WV2NiJRShfn99qpxmkoyjdMk4kEOO8y+A/ath+gbYeBy8PG1uioRKYVK7DhNIiIArH/TGZj8K8LdMxSYRMQrKDSJiHdJ2wpr/s/5vsvLEHb5G0RERIqDQpOIeI/cLPh4MDhyockdcN39VlckIuKi0CQi3mPNi3B4B1SoBj2mgc1mdUUiIi4KTSLiHX5ZB8nOB2Zz51tQoaq19YiInEehSUSsd+YELHnc+b71Q9C4i5XViIjkS6FJRKz3+TOQcQDC6kHnv1pdjYhIvhSaRMRa2z6GHxaAzQfungkBFa2uSEQkXwpNImKdjIOwdKTzffunIfoGa+sREbkEhSYRsYbD4ezHlHUCIlvCrc9YXZGIyCUpNImINb55F35ZC+WC4J53wNfP6opERC5JoUlEit+RnbDqBef7zi9CtUbW1iMiUgAKTSJSvM7mwMePwtksqN8JbnjE6opERApEoUlEitcXr0Lq9xBUGe56W6N+i0iJodAkIsVn3wb47xTn+zumQkikpeWIiBSGQpOIFI/sk7B4MBgHXNsHmva0uiIRkUJRaBKR4rHiz3B8L4RGQ7dXra5GRKTQFJpEpOjt/Bw2zwFs0HM6BIZaXZGISKEpNIlI0Tp5BD59wvn+puFQt7219YiIXCGFJhEpOsbAZ0/CqSMQ3hRue8HqikRErphCk4gUne/+AzuXg68/3DMTygVYXZGIyBVTaBKRonHsF/j8Wef7256HiGbW1iMicpUUmkTE8+xn4ePHIPcU1G4HscOtrkhE5KopNImI5301FQ5sBP9guHs6+PhaXZGIyFVTaBIRzzq4BZImO993ew0q1bK0HBERT1FoEhHPyT0DHw8Gx1mIuQta9LG6IhERj1FoEhHPWT0Rft8JFSOcz5bTw3hFpBRRaBIRz9izBjbMcL6/620oH2ZtPSIiHqbQJCJX7/QxWPK48/0Nj0DDOGvrEREpAgpNInJ1jIFloyEzFao0gNtftLoiEZEiodAkIldn64ew/WOw+TpH/fYvb3VFIiJFotChacCAAXzxxRdFUYuIlDTpB5xnmQBuHQs1Wltbj4hIESp0aEpPTycuLo6GDRvy0ksv8dtvvxVFXSLi7RwOWDwEstOhxvXQfrTVFYmIFKlCh6YlS5bw22+/MXToUBYsWECdOnXo2rUrH374Ibm5uUVRo4h4ow3TYe9/wa+887KcbzmrKxIRKVJX1KepWrVqjBo1iu+//54NGzbQoEEDHnjgAaKiohg5ciS7du3ydJ0i4k0O7YDVk5zv4/8KVepbW4+ISDG4qo7gqamprFq1ilWrVuHr60u3bt3YunUrMTExvPHGG56qUUS8ydls56jf9mxoGA+tB1pdkYhIsSh0aMrNzeWjjz7ijjvuoHbt2ixatIgRI0Zw8OBB5syZw+rVq1m4cCF/+ctfiqJeEbHa2pfg0FYoXwXufFOjfotImVHoTgiRkZE4HA769u3Lxo0badmy5QVtOnbsSKVKlTxQnoh4lV/Xw1fTnO97TIPg6tbWIyJSjAodmt544w3uvfdeAgMDL9qmUqVKpKSkXFVhIuJlsjJg8WOAgZb3wzU9rK5IRKRYFTo0PfDAA0VRh4h4u4Rn4cQ+qFQLuky2uhoRkWKnEcFF5PJ2fApb5gE2uHsmBIZYXZGISLFTaBKRS8s8BJ895XzfbgTUjrW0HBERqyg0icjFGQOfDoczx6B6c+jwZ6srEhGxjEKTiFzct/+CXSvBNwB6vQPl/K2uSETEMgpNIpK/33fDyued7+MmQvg1lpYjImI1hSYRuZD9LCweDLmnoe4t0HaI1RWJiFhOoUlELvTfKfDbJggIhZ7TwUdfFSIiln4TTp48mRtuuIHg4GDCw8Pp2bMnO3fudGuTlZXFsGHDqFKlChUrVqRXr14cOnTIrc2+ffvo3r075cuXJzw8nDFjxnD27Fm3NklJSbRq1YqAgAAaNGjA7NmzL6jn7bffpk6dOgQGBtK2bVs2btzo8c8s4vUObIJ1rzjfd58CoTWtrUdExEtYGprWrVvHsGHD+Prrr1m1ahW5ubl07tyZU6dOudqMHDmSzz77jEWLFrFu3ToOHjzIPffc41put9vp3r07OTk5rF+/njlz5jB79mzGjx/vapOSkkL37t3p2LEjW7ZsYcSIETzyyCOsWLHC1WbBggWMGjWKCRMmsHnzZlq0aEF8fDyHDx8unoMh4g1yTsHHj4KxQ7NecO29VlckIuI9jBc5fPiwAcy6deuMMcacOHHC+Pn5mUWLFrna/PjjjwYwycnJxhhjli9fbnx8fExaWpqrzfTp001ISIjJzs42xhjzzDPPmKZNm7rtq3fv3iY+Pt413aZNGzNs2DDXtN1uN1FRUWby5MkFqj09Pd0AJj09vZCfWsSLLB1lzIQQY/7WxJhTR62uRkSkyBXm99urOiqkp6cDEBYWBsCmTZvIzc0lLi7O1aZJkybUqlWL5ORkAJKTk2nevDnVq//x4ND4+HgyMjLYvn27q82528hrk7eNnJwcNm3a5NbGx8eHuLg4V5vzZWdnk5GR4fYSKdF2rYJv3nW+7/kPKB9mbT0iIl7Ga0KTw+FgxIgR3HzzzTRr1gyAtLQ0/P39qVSpklvb6tWrk5aW5mpzbmDKW5637FJtMjIyOHPmDL///jt2uz3fNnnbON/kyZMJDQ11vaKjo6/sg4t4g1NH4ZNhzvdth0L9jtbWIyLihbwmNA0bNoxt27bxwQcfWF1KgYwbN4709HTXa//+/VaXJHJljIGlT8HJQ1C1McRNsLoiERGvVM7qAgCGDx/O0qVL+eKLL6hZ8487dSIiIsjJyeHEiRNuZ5sOHTpERESEq835d7nl3V13bpvz77g7dOgQISEhBAUF4evri6+vb75t8rZxvoCAAAICAq7sA4t4k+8/gB8/A59ycM9M8AuyuiIREa9k6ZkmYwzDhw9n8eLFrFmzhrp167otb926NX5+fiQmJrrm7dy5k3379hEb63xoaGxsLFu3bnW7y23VqlWEhIQQExPjanPuNvLa5G3D39+f1q1bu7VxOBwkJia62oiUSsd/heVjnO87jIOolpaWIyLi1Yq+X/rFDR061ISGhpqkpCSTmprqep0+fdrVZsiQIaZWrVpmzZo15ttvvzWxsbEmNjbWtfzs2bOmWbNmpnPnzmbLli0mISHBVKtWzYwbN87V5pdffjHly5c3Y8aMMT/++KN5++23ja+vr0lISHC1+eCDD0xAQICZPXu22bFjhxk8eLCpVKmS2115l6K756TEsZ815r0uzrvl3r3dOS0iUsYU5vfb0tAE5PuaNWuWq82ZM2fM448/bipXrmzKly9v7r77bpOamuq2nb1795quXbuaoKAgU7VqVTN69GiTm5vr1mbt2rWmZcuWxt/f39SrV89tH3nefPNNU6tWLePv72/atGljvv766wJ/FoUmKXG+nOoMTH+NMuboL1ZXIyJiicL8ftuMMcaqs1ylSUZGBqGhoaSnpxMSEmJ1OSKXlrYVZnYERy7c+Sa0etDqikRELFGY32+vuXtORIpJbhZ8PNgZmBp3g+sesLoiEZESQaFJpKxZ8yIc3gEVqkGPv4PNZnVFIiIlgkKTSFmS8gUkv+18f+ebULGatfWIiJQgCk0iZcWZE7B4KGCg1QBo3NXqikREShSFJpGy4vNnIOMAVK4L8S9ZXY2ISImj0CRSFmz7GH5YADYf56jfARWtrkhEpMRRaBIp7TIOwtKRzvftR0N0G2vrEREpoRSaREozhwM+GQZZJyCyJdw61uqKRERKLIUmkVLK7jCkfD4N9qzB4RuA/e6Z4OtndVkiIiWWQpNIKZSwLZX7J88hcuNfAZiY1Yd27x0gYVuqxZWJiJRcCk0ipUzCtlSem5vEy9l/JdCWyxf25vzHfjtp6VkMnbtZwUlE5AopNImUInaH4eVPv2Om/xRq+xzmV0c4I3KHYfAh7yGTkz7bgd2hR06KiBSWQpNIKbLxl995+sxUWvvs4oSpwMDcZzjGHw+gNEBqehYbU45ZV6SISAlVzuoCRMRzqm54mVjfDeQYXx7LGcUvJirfdoczs4q5MhGRkk9nmkRKi02zabjrXQCeyX2MDeaaizYNDw4srqpEREoNnWkSKQ12J8LSUQC849ubTxzt8m1mAyJCA2lTN6wYixMRKR10pkmkpDu0HRYOAGOHa/sQ3XMi4AxI58qbntAjBl+f85eKiMjlKDSJlGSZaTDvPsjJhNrt4M6/06V5FNPvb0VEqPsluIjQQKbf34ouzSItKlZEpGTT5TmRkirnFMzvDRkHoEpD6P0fKBcAQJdmkdweE8HGlGMczswiPNh5SU5nmERErpxCk0hJ5LDDh4MgdQuUrwL9F0J5935Kvj42YutXsaY+EZFSSJfnREqiFc/Bz5+DbwD0/QDC6lldkYhIqafQJFLSbPgnbJjufH/PPyG6jbX1iIiUEQpNIiXJzs8h4Vnn+7iJ0PRuS8sRESlLFJpESoqD38GHD4NxQKsBcPMIqysSESlTFJpESoL0AzC/D+Sehvq3QfcpYNOdcCIixUmhScTbZWU4x2I6mQbhMXDvbPD1s7oqEZEyR6FJxJvZc2HRADi8HSpWh34LITDU6qpERMokhSYRb2UMLH8a9qwBv/LQbwFUira6KhGRMkuhScRbfTUNNs0GbNDrPYi6zuqKRETKNIUmEW+0fQmsnuB83+VlaNLN0nJEREShScT77P8GFj/mfN92CNw4xNp6REQEUGgS8S7HUuD9PnA2Cxp1hfiXrK5IRET+R6FJxFucOQ7z7oXTv0NkC+j1Lvj4Wl2ViIj8j0KTiDc4mwMLHoCjuyCkJvRdAAEVra5KRETOodAkYjVj4NMnYO9/wT8Y+i+EkEirqxIRkfMoNIlYbd2r8MMHYPOF++ZA9aZWVyQiIvlQaBKx0vcLIOl/nb3veB0adLK2HhERuSiFJhGr7P0SPhnmfH/zU9D6IUvLERGRS1NoErHC77vgg/7gyIWYntBpotUViYjIZSg0iRS3U7/DvD9B1gmoeQPcPQN89J+iiIi30ze1SHHKPQPv94Xje6FSbejzPvgFWV2ViIgUgEKTSHFxOGDJUDiwEQIrQf8PoWI1q6sSEZECUmgSKS5r/gLbF4OPH/SeC9UaWV2RiIgUgkKTSHHYNBu+fMP5/s43oW57S8sREZHCU2gSKWp71sDSUc73tz4LLftaW4+IiFwRhSaRonRoBywcAMYO1/aGDs9aXZGIiFwhS0PTF198QY8ePYiKisJms7FkyRK35Q899BA2m83t1aVLF7c2x44do3///oSEhFCpUiUGDRrEyZMn3dr88MMPtG/fnsDAQKKjo3n11VcvqGXRokU0adKEwMBAmjdvzvLlyz3+eaWMyUyDefdCdgbUvtl5Wc5ms7oqERG5QpaGplOnTtGiRQvefvvti7bp0qULqamprtf777/vtrx///5s376dVatWsXTpUr744gsGDx7sWp6RkUHnzp2pXbs2mzZt4rXXXmPixInMnDnT1Wb9+vX07duXQYMG8d1339GzZ0969uzJtm3bPP+hpWzIOQXze0PGAajS0Nnxu1yA1VWJiMhVsBljjNVFANhsNhYvXkzPnj1d8x566CFOnDhxwRmoPD/++CMxMTF88803XH/99QAkJCTQrVs3Dhw4QFRUFNOnT+e5554jLS0Nf39/AJ599lmWLFnCTz/9BEDv3r05deoUS5cudW37xhtvpGXLlsyYMaNA9WdkZBAaGkp6ejohISFXcASk1HDYYcH9sHM5lK8Cj6yGsHpWVyUiIvkozO+31/dpSkpKIjw8nMaNGzN06FCOHj3qWpacnEylSpVcgQkgLi4OHx8fNmzY4Gpzyy23uAITQHx8PDt37uT48eOuNnFxcW77jY+PJzk5+aJ1ZWdnk5GR4fYSAWDFc87A5BvgHLxSgUlEpFTw6tDUpUsX/v3vf5OYmMgrr7zCunXr6Nq1K3a7HYC0tDTCw8Pd1ilXrhxhYWGkpaW52lSvXt2tTd705drkLc/P5MmTCQ0Ndb2io6Ov7sNK6bDhn7BhuvP9Pf+EWm2trUdERDymnNUFXEqfPn1c75s3b861115L/fr1SUpKolOnThZWBuPGjWPUqFGu6YyMDAWnsm5nAiT87+64uInQ9G5LyxEREc/y6jNN56tXrx5Vq1Zl9+7dAERERHD48GG3NmfPnuXYsWNERES42hw6dMitTd705drkLc9PQEAAISEhbi8pww5ugQ8HgnFAqwfh5hFWVyQiIh5WokLTgQMHOHr0KJGRkQDExsZy4sQJNm3a5GqzZs0aHA4Hbdu2dbX54osvyM3NdbVZtWoVjRs3pnLlyq42iYmJbvtatWoVsbGxRf2RpDRIP+C8Uy73NNS/Dbq/rqEFRERKIUtD08mTJ9myZQtbtmwBICUlhS1btrBv3z5OnjzJmDFj+Prrr9m7dy+JiYncddddNGjQgPj4eACuueYaunTpwqOPPsrGjRv56quvGD58OH369CEqKgqAfv364e/vz6BBg9i+fTsLFixg2rRpbpfWnnrqKRISEpgyZQo//fQTEydO5Ntvv2X48OHFfkykhMnKgHn3wck0CI+Be2eDr5/VVYmISFEwFlq7dq0BLngNGDDAnD592nTu3NlUq1bN+Pn5mdq1a5tHH33UpKWluW3j6NGjpm/fvqZixYomJCTEDBw40GRmZrq1+f777027du1MQECAqVGjhnn55ZcvqGXhwoWmUaNGxt/f3zRt2tQsW7asUJ8lPT3dACY9Pb3wB0JKprM5xvz7bmMmhBjzWkNjju+zuiIRESmkwvx+e804TSWdxmkqY4yBpSNh0yzwKw8Dl0PUdVZXJSIihVSqxmkS8Urr/+4MTNig13sKTCIiZYBCk0hhbV8Cq8Y733eZDE26WVqOiIgUD4UmkcLY/w0sfsz5vs1jcONQa+sREZFio9AkUlDHUuD9PnA2Cxp1dZ5lEhGRMkOhSaQgzhyH+ffB6d8hsgX0ehd8fK2uSkREipFCk8jlnM2BBQ/A7z9DSE3ouwACKlpdlYiIFDOFJpFLMQY+exL2/hf8g6H/QgiJtLoqERGxgEKTyKWsexW+fx9svnDfbKje1OqKRETEIgpNIhfz/QJIesn5vvsUaBBnbT0iImIphSaR/Oz9Cj7937MHb34Krh9obT0iImI5hSaR8/2+Cz7oB/YciLkLOk20uiIREfECCk0i5zr1O8z7E2SdgJo3wN3/BB/9ZyIiIgpNIn/IzYL3+8LxvVCpNvR5H/yCrK5KRES8hEKTCIDDAUuGwIGNEBgK/T+EitWsrkpERLyIQpMIwJq/wPbF4OMHvedBtUZWVyQiIl5GoUlk0xz48g3n+zvfhLrtra1HRES8kkKTlG171sDSkc73tz4LLftaW4+IiHgthSYpuw7tgIUDwNjh2t7Q4VmrKxIRES+m0CRlU2YazL8PsjOg9s3Oy3I2m9VViYiIF1NokrIn5xTM7w3p+6FKA+g9F8oFWF2ViIh4OYUmKVscdvjoEUjdAuWrQP9FUD7M6qpERKQEUGiSsmXl87BzOfgGOAevDKtndUUiIlJCKDRJ2bFhJnz9D+f7u2dArbbW1iMiIiWKQpOUDTsTIGGs832nCdDsHmvrERGREkehSUq/g1vgw4FgHNDqQWg30uqKRESkBFJoktIt/YDzTrnc01CvI3R/XUMLiIjIFVFoktIrKwPm3Qcn0yA8Bu6bA75+VlclIiIllEKTlE72s7DoITi8HSpWh34LITDU6qpERKQEU2iS0scYWP407EkEv/LQbwFUira6KhERKeEUmqT0Wf932DQLsEGvdyHqOqsrEhGRUqCc1QWIFITdYdiYcozDmVmEBwfSpm4Yvj75dOjevgRWjXe+7zIZmnQv1jpFRKT0UmgSr5ewLZVJn+0gNT3LNS8yNJAJPWLo0izyj4b7v4HFjznft3kMbhxazJWKiEhppstz4tUStqUydO5mt8AEkJaexdC5m0nYluqccSwF3u8DZ7OgURfnWSYREREPUmgSr2V3GCZ9tgOTz7K8eZM+24H91HGYfx+c/h0iroVe74GPb3GWKiIiZYBCk3itjSnHLjjDdC4D/J5+kpP/7gu//wwhNZxDCwRULL4iRUSkzFBoEq91OPPigcnJ8LLfO4QeSgb/YGdgCom8zDoiIiJXRqFJvFZ4cOAllz/hu5hevv/F2HzhvtkQ0ax4ChMRkTJJoUm8Vpu6YUSGBpLfk+Lu8vmS0X4fAmC6TYEGccVbnIiIlDkKTeK1fH1sTOgRA+AWnNrYfuRVv5kA/NJoED43DLSgOhERKWsUmsSrdWkWyfT7WxER6rxUV892kJn+rxNgO0tajXjq9fmbxRWKiEhZocEtxet1aRbJ7TERbP5xF9csH0vFU6cwNa4n4qE54KPcLyIixUOhSbxfbha+377HDV/8Dc4cg0q1sfX9APyCrK5MRETKEIUm8V72s/D9fEh6BTIOOOdVaQh95kPFatbWJiIiZY5Ck3gfY2DHJ7Dm/+DoLue8kBrQ4Vlo0Q989WcrIiLFT78+4j2MgT1rIPEvkLrFOS8oDNqPhhseAb9Lj9skIiJSlBSaxDsc+BZWT4S9/3VO+1eE2OEQOwwCQywtTUREBCwecuCLL76gR48eREVFYbPZWLJkidtyYwzjx48nMjKSoKAg4uLi2LVrl1ubY8eO0b9/f0JCQqhUqRKDBg3i5MmTbm1++OEH2rdvT2BgINHR0bz66qsX1LJo0SKaNGlCYGAgzZs3Z/ny5R7/vJKPwz/C+/3g3U7OwOTrDzc+Dk99Dx3HKTCJiIjXsDQ0nTp1ihYtWvD222/nu/zVV1/l73//OzNmzGDDhg1UqFCB+Ph4srL+eCZZ//792b59O6tWrWLp0qV88cUXDB482LU8IyODzp07U7t2bTZt2sRrr73GxIkTmTlzpqvN+vXr6du3L4MGDeK7776jZ8+e9OzZk23bthXdhy/rjv8Ki4fAP2Jh5zKw+cB198MTm6HLZKhQ1eoKRURE3BkvAZjFixe7ph0Oh4mIiDCvvfaaa96JEydMQECAef/9940xxuzYscMA5ptvvnG1+fzzz43NZjO//fabMcaYf/zjH6Zy5comOzvb1Wbs2LGmcePGrun77rvPdO/e3a2etm3bmscee6zA9aenpxvApKenF3idMinzkDHLxhgzqYoxE0Kcrw/uN+bwT1ZXJiIiZVBhfr+9dmTAlJQU0tLSiIv745lioaGhtG3bluTkZACSk5OpVKkS119/vatNXFwcPj4+bNiwwdXmlltuwd/f39UmPj6enTt3cvz4cVebc/eT1yZvP/nJzs4mIyPD7SWXkJXuvBtuWkvY+E9w5EK9DvDoGuj9H6jW2OoKRURELslrO4KnpaUBUL16dbf51atXdy1LS0sjPDzcbXm5cuUICwtza1O3bt0LtpG3rHLlyqSlpV1yP/mZPHkykyZNuoJPVsbknoGNM+HLN+CMM6RSozV0mgD1brW2NhERkULw2tDk7caNG8eoUaNc0xkZGURHR1tYkZex58J3c2HdK5CZ6pxXtTF0egGa3AE226XXFxER8TJeG5oiIiIAOHToEJGRka75hw4domXLlq42hw8fdlvv7NmzHDt2zLV+REQEhw4dcmuTN325NnnL8xMQEEBAQMAVfLJSzuGA7R/D2r/CsV+c80KjoeOf4dre4ONrbX0iIiJXyGv7NNWtW5eIiAgSExNd8zIyMtiwYQOxsbEAxMbGcuLECTZt2uRqs2bNGhwOB23btnW1+eKLL8jNzXW1WbVqFY0bN6Zy5cquNufuJ69N3n6kAIyBXatg5i3w0SBnYCpfFbq8Ak9sgpb9FJhERKREs/RM08mTJ9m9e7drOiUlhS1bthAWFkatWrUYMWIE//d//0fDhg2pW7cuL7zwAlFRUfTs2ROAa665hi5duvDoo48yY8YMcnNzGT58OH369CEqKgqAfv36MWnSJAYNGsTYsWPZtm0b06ZN44033nDt96mnnuLWW29lypQpdO/enQ8++IBvv/3WbVgCuYR9X8PqSbBvvXM6IARuegJuHAoBwdbWJiIi4inFcDffRa1du9YAF7wGDBhgjHEOO/DCCy+Y6tWrm4CAANOpUyezc+dOt20cPXrU9O3b11SsWNGEhISYgQMHmszMTLc233//vWnXrp0JCAgwNWrUMC+//PIFtSxcuNA0atTI+Pv7m6ZNm5ply5YV6rOUySEHUrcaM+++P4YOeDHcmBXPGXPqqNWViYiIFEhhfr9txhhjYWYrNTIyMggNDSU9PZ2QkFI+ivWxX2DtS7D1Q8CAzdc5MOWtYyG0htXViYiIFFhhfr+9tiO4eKHMNFj3KmyeA46zznlN74aOz0PVBtbWJiIiUsQUmuTyzhyHr6bB1zPg7BnnvAZxcNsLENXS0tJERESKi0KTXFzOKdgwwxmYstKd82q2gbgJUKedtbWJiIgUM4UmudDZHOcluC9eg5P/G78qPAY6jYdGXTQwpYiIlEkKTfIHhwO2fegcmPL4Xue8SrWh43PQ/E8aZ0lERMo0hSZxDkz5cwIkvgiHtzvnVQiHW5+BVgOgnP+l1xcRESkDFJrKur1fQeIk2L/BOR0QCu2egrZDwL+CtbWJiIh4EYWmsir1e0j8C+xe7ZwuFwRtH4Obn4LyYdbWJiIi4oUUmsqao3tgzf85H6oL4FPOeQnuljEQEnnpdUVERMowhaayIv03WPcKfDcXjB2wOTt3d/wzhNWzujoRERGvp9BU2p0+Bl++DhvfgbNZznkN46HTCxDR3NraREREShCFptIq+yR8PR3W/x2yM5zzat3kHGupdqy1tYmIiJRACk2lzdls+HYW/PdvcOqIc1715s5RvBvEaWBKERGRK6TQVFo47PDDAlg7GdL3OedVrgu3PQ9N7wEfH2vrExERKeEUmko6Y+Cnpc474o785JwXHOkcmPK6B8DXz9r6RERESgmFppLsl3XOgSl/2+ScDqwE7UdBm8HgF2RpaSIiIqWNQlNJ9Ntm58CUv6x1TvuVhxsfh5uegKBKlpYmIiJSWik0lSRHfoY1L8KPnzqnffzg+oHQ/mkIrm5tbSIiIqWcQlNJcGI/rHsZtswH4wBs0KIPdHgWKtexujoREZEyQaHJyzm+mQWfP4OPIwcA07gbtttegOoxFlcmIiJStug+dC+WsC2VwSvP4OPIIdkew93Zk7hp7yMkHKlsdWkiIiJljs0YY6wuojTIyMggNDSU9PR0QkJCrnp7CdtSGTp3MwZoakthu6kD2MgbmnL6/a3o0kwP2BUREbkahfn91pkmL2R3GCZ9toO8NLvd1IX/xaW8eZM+24HdobwrIiJSXBSavNDGlGOkpmdddLkBUtOz2JhyrPiKEhERKeMUmrzQ4cyLB6YraSciIiJXT6HJC4UHB3q0nYiIiFw9hSYv1KZuGJGhga5O3+ezAZGhgbSpG1acZYmIiJRpCk1eyNfHxoQeznGYzg9OedMTesTg63OxWCUiIiKeptDkpbo0i2T6/a2ICHW/BBcRGqjhBkRERCygEcG9WJdmkdweE8HGlGMczswiPNh5SU5nmERERIqfQpOX8/WxEVu/itVliIiIlHm6PCciIiJSAApNIiIiIgWg0CQiIiJSAApNIiIiIgWg0CQiIiJSAApNIiIiIgWg0CQiIiJSAApNIiIiIgWg0CQiIiJSABoR3EOMMQBkZGRYXImIiIgUVN7vdt7v+KUoNHlIZmYmANHR0RZXIiIiIoWVmZlJaGjoJdvYTEGilVyWw+Hg4MGDBAcHY7MV7QN1MzIyiI6OZv/+/YSEhBTpvryVjoGOQR4dBx0D0DHIo+NQ+GNgjCEzM5OoqCh8fC7da0lnmjzEx8eHmjVrFus+Q0JCyux/FHl0DHQM8ug46BiAjkEeHYfCHYPLnWHKo47gIiIiIgWg0CQiIiJSAApNJVBAQAATJkwgICDA6lIso2OgY5BHx0HHAHQM8ug4FO0xUEdwERERkQLQmSYRERGRAlBoEhERESkAhSYRERGRAlBoEhERESkAhSYvM3HiRGw2m9urSZMmF20/e/bsC9oHBgYWY8VF47fffuP++++nSpUqBAUF0bx5c7799ttLrpOUlESrVq0ICAigQYMGzJ49u3iKLSKFPQZJSUkX/C3YbDbS0tKKsWrPqlOnTr6fadiwYRddZ9GiRTRp0oTAwECaN2/O8uXLi7FizyvsMSiN3wl2u50XXniBunXrEhQURP369XnxxRcv+6yw0vadcCXHoTR+L2RmZjJixAhq165NUFAQN910E998880l1/HU34JGBPdCTZs2ZfXq1a7pcuUu/a8pJCSEnTt3uqaL+jEuRe348ePcfPPNdOzYkc8//5xq1aqxa9cuKleufNF1UlJS6N69O0OGDGHevHkkJibyyCOPEBkZSXx8fDFW7xlXcgzy7Ny5020U3PDw8KIstUh988032O121/S2bdu4/fbbuffee/Ntv379evr27cvkyZO54447mD9/Pj179mTz5s00a9asuMr2qMIeAyh93wmvvPIK06dPZ86cOTRt2pRvv/2WgQMHEhoaypNPPpnvOqXtOwGu7DjkKU3fC4888gjbtm3jP//5D1FRUcydO5e4uDh27NhBjRo1Lmjv0b8FI15lwoQJpkWLFgVuP2vWLBMaGlpk9Vhh7Nixpl27doVa55lnnjFNmzZ1m9e7d28THx/vydKKzZUcg7Vr1xrAHD9+vGiK8gJPPfWUqV+/vnE4HPkuv++++0z37t3d5rVt29Y89thjxVFesbjcMSiN3wndu3c3Dz/8sNu8e+65x/Tv3/+i65S27wRjruw4lLbvhdOnTxtfX1+zdOlSt/mtWrUyzz33XL7rePJvQZfnvNCuXbuIioqiXr169O/fn3379l2y/cmTJ6lduzbR0dHcddddbN++vZgqLRqffvop119/Pffeey/h4eFcd911vPPOO5dcJzk5mbi4OLd58fHxJCcnF2WpReZKjkGeli1bEhkZye23385XX31VxJUWn5ycHObOncvDDz980TMnpe3v4HwFOQZQ+r4TbrrpJhITE/n5558B+P777/nyyy/p2rXrRdcpjX8LV3Ic8pSW74WzZ89it9svuOQcFBTEl19+me86nvxbUGjyMm3btmX27NkkJCQwffp0UlJSaN++PZmZmfm2b9y4Mf/617/45JNPmDt3Lg6Hg5tuuokDBw4Uc+We88svvzB9+nQaNmzIihUrGDp0KE8++SRz5sy56DppaWlUr17dbV716tXJyMjgzJkzRV2yx13JMYiMjGTGjBl89NFHfPTRR0RHR9OhQwc2b95cjJUXnSVLlnDixAkeeuihi7a52N9BSe6/ca6CHIPS+J3w7LPP0qdPH5o0aYKfnx/XXXcdI0aMoH///hddp7R9J8CVHYfS9r0QHBxMbGwsL774IgcPHsRutzN37lySk5NJTU3Ndx2P/i0U+tyUFKvjx4+bkJAQ8+677xaofU5Ojqlfv755/vnni7iyouPn52diY2Pd5j3xxBPmxhtvvOg6DRs2NC+99JLbvGXLlhnAnD59ukjqLEpXcgzyc8stt5j777/fk6VZpnPnzuaOO+64ZBs/Pz8zf/58t3lvv/22CQ8PL8rSik1BjsH5SsN3wvvvv29q1qxp3n//ffPDDz+Yf//73yYsLMzMnj37ouuUtu8EY67sOOSnpH8v7N6929xyyy0GML6+vuaGG24w/fv3N02aNMm3vSf/FtQR3MtVqlSJRo0asXv37gK1z/u/j4K290aRkZHExMS4zbvmmmv46KOPLrpOREQEhw4dcpt36NAhQkJCCAoKKpI6i9KVHIP8tGnT5qKnrEuSX3/9ldWrV/Pxxx9fst3F/g4iIiKKsrxiUdBjcL7S8J0wZswY11kWgObNm/Prr78yefJkBgwYkO86pe07Aa7sOOSnpH8v1K9fn3Xr1nHq1CkyMjKIjIykd+/e1KtXL9/2nvxb0OU5L3fy5En27NlDZGRkgdrb7Xa2bt1a4Pbe6Oabb3a78wfg559/pnbt2hddJzY2lsTERLd5q1atIjY2tkhqLGpXcgzys2XLlhL9t5Bn1qxZhIeH071790u2K21/B+cq6DE4X2n4Tjh9+jQ+Pu4/V76+vjgcjouuUxr/Fq7kOOSntHwvVKhQgcjISI4fP86KFSu466678m3n0b+FKz4/JkVi9OjRJikpyaSkpJivvvrKxMXFmapVq5rDhw8bY4x54IEHzLPPPutqP2nSJLNixQqzZ88es2nTJtOnTx8TGBhotm/fbtVHuGobN2405cqVM3/961/Nrl27zLx580z58uXN3LlzXW2effZZ88ADD7imf/nlF1O+fHkzZswY8+OPP5q3337b+Pr6moSEBCs+wlW7kmPwxhtvmCVLlphdu3aZrVu3mqeeesr4+PiY1atXW/ERPMZut5tatWqZsWPHXrDs/P8evvrqK1OuXDnzt7/9zfz4449mwoQJxs/Pz2zdurU4S/a4whyD0vidMGDAAFOjRg2zdOlSk5KSYj7++GNTtWpV88wzz7jalPbvBGOu7DiUxu+FhIQE8/nnn5tffvnFrFy50rRo0cK0bdvW5OTkGGOK9m9BocnL9O7d20RGRhp/f39To0YN07t3b7N7927X8ltvvdUMGDDANT1ixAhTq1Yt4+/vb6pXr266detmNm/ebEHlnvXZZ5+ZZs2amYCAANOkSRMzc+ZMt+UDBgwwt956q9u8tWvXmpYtWxp/f39Tr149M2vWrOIruAgU9hi88sorpn79+iYwMNCEhYWZDh06mDVr1hRz1Z63YsUKA5idO3desOz8/x6MMWbhwoWmUaNGxt/f3zRt2tQsW7asmCotOoU5BqXxOyEjI8M89dRTplatWiYwMNDUq1fPPPfccyY7O9vVpix8J1zJcSiN3wsLFiww9erVM/7+/iYiIsIMGzbMnDhxwrW8KP8WbMZcZkhVEREREVGfJhEREZGCUGgSERERKQCFJhEREZECUGgSERERKQCFJhEREZECUGgSERERKQCFJhEREZECUGgSERERKQCFJhEREZECUGgSERERKQCFJhGRfBw5coSIiAheeukl17z169fj7+9/wRPTRaRs0LPnREQuYvny5fTs2ZP169fTuHFjWrZsyV133cXrr79udWkiYgGFJhGRSxg2bBirV6/m+uuvZ+vWrXzzzTcEBARYXZaIWEChSUTkEs6cOUOzZs3Yv38/mzZtonnz5laXJCIWUZ8mEZFL2LNnDwcPHsThcLB3716ryxERC+lMk4jIReTk5NCmTRtatmxJ48aNmTp1Klu3biU8PNzq0kTEAgpNIiIXMWbMGD788EO+//57KlasyK233kpoaChLly61ujQRsYAuz4mI5CMpKYmpU6fyn//8h5CQEHx8fPjPf/7Df//7X6ZPn251eSJiAZ1pEhERESkAnWkSERERKQCFJhEREZECUGgSERERKQCFJhEREZECUGgSERERKQCFJhEREZECUGgSERERKQCFJhEREZECUGgSERERKQCFJhEREZECUGgSERERKQCFJhEREZEC+H+nL+L2TToAXAAAAABJRU5ErkJggg==", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "g = r.plot()" ] }, { "cell_type": "code", "execution_count": 39, "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": "markdown", "id": "4f6e80a1", "metadata": {}, "source": [ "### using clophfit.binding" ] }, { "cell_type": "code", "execution_count": 40, "id": "389db604", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "execution_count": 40, "metadata": {}, "output_type": "execute_result" } ], "source": [ "dictionary = df.loc[:, [\"y1\", \"y2\"]].to_dict(orient=\"series\")\n", "dictionary = {key: value.to_numpy() for key, value in dictionary.items()}\n", "ds = Dataset(df.x.to_numpy(), dictionary, True)\n", "f_res2 = fit_binding_glob(ds, True)\n", "f_res2.figure" ] }, { "cell_type": "code", "execution_count": 41, "id": "e1757477", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "100%|██████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████| 1000/1000 [00:14<00:00, 66.92it/s]\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "The chain is shorter than 50 times the integrated autocorrelation time for 5 parameter(s). Use this estimate with caution and run a longer chain!\n", "N/50 = 20;\n", "tau: [49.26348026 49.85368936 56.0758159 42.12187094 47.14826225]\n" ] }, { "data": { "text/plain": [ "(
, [7.86, 8.1])" ] }, "execution_count": 41, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "emcee_res2 = f_res2.mini.emcee()\n", "plot_emcee(emcee_res2)" ] }, { "cell_type": "markdown", "id": "9ac0034b", "metadata": {}, "source": [ "## Model: example 2P Cl–ratio" ] }, { "cell_type": "code", "execution_count": 42, "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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", 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" ] }, "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": 43, "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: [40.18241031 41.98164046 42.59059736 80.96195387]\n", "[[Fit Statistics]]\n", " # fitting method = emcee\n", " # function evals = 100000\n", " # data points = 5\n", " # variables = 4\n", " chi-square = 0.92352904\n", " reduced chi-square = 0.92352904\n", " Akaike info crit = -0.44495472\n", " Bayesian info crit = -2.00720307\n", " R-squared = -5.49845366\n", "[[Variables]]\n", " R0: 0.60595667 +/- 0.01321119 (2.18%) (init = 0.6071065)\n", " R1: 0.04231916 +/- 0.01928465 (45.57%) (init = 0.04390399)\n", " Kd: 13.9032326 +/- 1.96077727 (14.10%) (init = 13.66125)\n", " __lnsigma: -4.66910096 +/- 1.10483430 (23.66%) (init = -2.302585)\n", "[[Correlations]] (unreported correlations are < 0.100)\n", " C(R1, Kd) = -0.9996\n", " C(R0, __lnsigma) = -0.4493\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": 44, "id": "fab95688", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "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": { "text/plain": [ "(
, [])" ] }, "execution_count": 44, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_emcee(result_emcee)" ] }, { "cell_type": "code", "execution_count": 45, "id": "3e08fd54", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", "Maximum Likelihood Estimation (MLE):\n", "----------------------------------\n", "R0: 0.607\n", "R1: 0.045\n", "Kd: 13.590\n", "__lnsigma: -5.527\n", "\n", "\n", "1 sigma spread = 1.969\n", "2 sigma spread = 107.071\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}\")" ] }, { "cell_type": "code", "execution_count": 46, "id": "f3030229-572f-455a-963e-f9686fbc0b57", "metadata": {}, "outputs": [ { "ename": "NameError", "evalue": "name 'print_emcee' is not defined", "output_type": "error", "traceback": [ "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", "\u001b[0;31mNameError\u001b[0m Traceback (most recent call last)", "Cell \u001b[0;32mIn[46], line 1\u001b[0m\n\u001b[0;32m----> 1\u001b[0m \u001b[43mprint_emcee\u001b[49m(res_emcee)\n", "\u001b[0;31mNameError\u001b[0m: name 'print_emcee' is not defined" ] } ], "source": [ "print_emcee(res_emcee)" ] } ], "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 }