{ "cells": [ { "cell_type": "markdown", "metadata": { "id": "colab-badge" }, "source": [ "[![Open In Colab](https://colab.research.google.com/assets/colab-badge.svg)](https://colab.research.google.com/github/seap-udea/multimin/blob/master/examples/multimin_mog_quickstart.ipynb)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "

\n", "\n", "# Fit of single-valued functions (experimental): tutorial\n", "\n", "This notebook illustrates how **MultiMin** can be used to fit functions (not data) of one or many variables." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Installation and importing\n", "\n", "If you're running this in Google Colab or need to install the package, uncomment and run the following cell:" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "execution": { "iopub.execute_input": "2026-02-15T18:16:29.223191Z", "iopub.status.busy": "2026-02-15T18:16:29.222935Z", "iopub.status.idle": "2026-02-15T18:16:29.580518Z", "shell.execute_reply": "2026-02-15T18:16:29.579092Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Not running in Colab, skipping installation\n" ] } ], "source": [ "try:\n", " from google.colab import drive\n", " %pip install -Uq multimin\n", "except ImportError:\n", " print(\"Not running in Colab, skipping installation\")\n", " %load_ext autoreload\n", " %autoreload 2\n", "!mkdir -p gallery/\n", "\n", "# Uncomment to install from GitHub (development version)\n", "# !pip install git+https://github.com/seap-udea/MultiMin.git" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "execution": { "iopub.execute_input": "2026-02-15T18:16:29.584184Z", "iopub.status.busy": "2026-02-15T18:16:29.584031Z", "iopub.status.idle": "2026-02-15T18:16:31.348539Z", "shell.execute_reply": "2026-02-15T18:16:31.347019Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Welcome to MultiMin v0.11.2. \u00a1Al infinito y m\u00e1s all\u00e1!\n" ] } ], "source": [ "import multimin as mn\n", "mn.show_watermark = True\n", "\n", "import matplotlib.pyplot as plt\n", "import pandas as pd\n", "from scipy.interpolate import interp1d\n", "\n", "import numpy as np\n", "np.random.seed(1)\n", "deg = np.pi/180\n", "\n", "import warnings\n", "warnings.filterwarnings(\"ignore\")\n", "\n", "figprefix = \"functions\"" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Round-trip test" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For this test we will create a mock function using not-normalized MoG and see if our fitter is able to reconstruct the function." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's generate a function using two MoG:" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "execution": { "iopub.execute_input": "2026-02-15T18:16:31.362418Z", "iopub.status.busy": "2026-02-15T18:16:31.361203Z", "iopub.status.idle": "2026-02-15T18:16:31.459469Z", "shell.execute_reply": "2026-02-15T18:16:31.458927Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "mog = mn.MixtureOfGaussians(mus=[20, 30], Sigmas=[4, 6], weights=[5.3, 1.5], normalize_weights=False)\n", "\n", "xs = np.linspace(10, 50, 1000)\n", "ys = mog.pdf(xs)\n", "plt.plot(xs, ys)\n", "plt.show()\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now let's fit it to verify:" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "execution": { "iopub.execute_input": "2026-02-15T18:16:31.462270Z", "iopub.status.busy": "2026-02-15T18:16:31.462088Z", "iopub.status.idle": "2026-02-15T18:16:31.604170Z", "shell.execute_reply": "2026-02-15T18:16:31.603806Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Loading a FitFunctionMoG object.\n", "Number of gaussians: 2\n", "Number of variables: 1\n", "Number of dimensions: 2\n", "Number of grid points: 1000\n", "Domain: [[10.0, 50.0]]\n", "Iterations:\n", " Iter 0: loss = 33.6033\n", " Iter 10: loss = 2.82009\n", " Iter 20: loss = 4.95358e-05\n", " Iter 25: loss = 3.84177e-10\n", "FitFunctionMoG.fit_data executed in 0.08381009101867676 seconds\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "F = mn.FitFunctionMoG(data=(xs, ys), ngauss=2)\n", "F.fit_data(advance=10, tol=1e-8, options=dict(maxiter=2000))\n", "fig = F.plot_fit()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The fit is perfect." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "After fitting, we can report how well the model matches the function on the grid. **MultiMin** uses the **R\u00b2 (coefficient of determination)**:\n", "\n", "$$R^2 = 1 - \\frac{SS_{\\mathrm{res}}}{SS_{\\mathrm{tot}}},$$\n", "\n", "where the residual and total sums of squares are\n", "\n", "$$SS_{\\mathrm{res}} = \\sum_i (F_i - \\hat{F}_i)^2 \\qquad \\text{(residual)}, \\qquad SS_{\\mathrm{tot}} = \\sum_i (F_i - \\bar{F})^2 \\qquad \\text{(total)},$$\n", "\n", "with $\\hat{F}_i$ the predicted value at point $i$ and $\\bar{F} = \\frac{1}{n}\\sum_i F_i$ the mean of the data. So $R^2 = 1$ means a perfect fit; $R^2 = 0$ means the model explains no variance beyond the mean; $R^2 < 0$ is possible if the fit is worse than using the constant $\\bar{F}$." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "execution": { "iopub.execute_input": "2026-02-15T18:16:31.605453Z", "iopub.status.busy": "2026-02-15T18:16:31.605366Z", "iopub.status.idle": "2026-02-15T18:16:31.614887Z", "shell.execute_reply": "2026-02-15T18:16:31.614517Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Quality of fit (after fit_data):\n", " R\u00b2 = 1 (1 = perfect, 0 = no better than mean)\n" ] } ], "source": [ "R2 = F.quality_of_fit()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Non-gaussian function" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's test the package with non-gaussian functions:" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "execution": { "iopub.execute_input": "2026-02-15T18:16:31.615954Z", "iopub.status.busy": "2026-02-15T18:16:31.615893Z", "iopub.status.idle": "2026-02-15T18:16:31.651817Z", "shell.execute_reply": "2026-02-15T18:16:31.651473Z" } }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "xs = np.linspace(0, 10, 100)\n", "ys = np.exp(-xs)\n", "\n", "plt.plot(xs, ys)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's fit it with one gaussian:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "execution": { "iopub.execute_input": "2026-02-15T18:16:31.652858Z", "iopub.status.busy": "2026-02-15T18:16:31.652778Z", "iopub.status.idle": "2026-02-15T18:16:31.761843Z", "shell.execute_reply": "2026-02-15T18:16:31.761397Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Loading a FitFunctionMoG object.\n", "Number of gaussians: 1\n", "Number of variables: 1\n", "Number of dimensions: 1\n", "Number of grid points: 100\n", "Domain: [[0.0, 10.0]]\n", "Iterations:\n", " Iter 0: loss = 0.298364\n", " Iter 6: loss = 0.165371\n", "FitFunctionMoG.fit_data executed in 0.003695964813232422 seconds\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "F = mn.FitFunctionMoG(data=(xs, ys), ngauss=1)\n", "F.fit_data(advance=10, tol=1e-8, options=dict(maxiter=2000))\n", "fig = F.plot_fit()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Increasing the number of gaussians:" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "execution": { "iopub.execute_input": "2026-02-15T18:16:31.762899Z", "iopub.status.busy": "2026-02-15T18:16:31.762837Z", "iopub.status.idle": "2026-02-15T18:16:32.095709Z", "shell.execute_reply": "2026-02-15T18:16:32.095157Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Loading a FitFunctionMoG object.\n", "Number of gaussians: 3\n", "Number of variables: 1\n", "Number of dimensions: 3\n", "Number of grid points: 100\n", "Domain: [[0.0, 10.0]]\n", "Iterations:\n", " Iter 0: loss = 0.152781\n", " Iter 10: loss = 0.0403425\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ " Iter 20: loss = 0.0121464\n", " Iter 30: loss = 0.00851867\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ " Iter 40: loss = 0.00561627\n", " Iter 50: loss = 0.00468426\n", " Iter 60: loss = 0.00285891\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ " Iter 70: loss = 0.00265979\n", " Iter 71: loss = 0.00265979\n", "FitFunctionMoG.fit_data executed in 0.21246576309204102 seconds\n" ] }, { "data": { "image/png": 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2q32eeeYZPPnkk3hFqon2sB9++EH1KHnbsGEDRo4cqYY1eaxfvx6xsbEYMGCAuv/www8jIiKiwyU7O1tta7fbsXbtWsyePbvpeEajUd1fvnx5m+3qzD7dOW5bNm7cqHrQJk6cqN4P6VGLi4vDaaedpnpMoqKiev31dsXu3bvVEDIZtjhv3rym5/U2depU9dmpr6+Hv2L1MD9LxN+UMhSn7V3dPERszBjftYuIiKgHOF1tDINuZFAXeIZObStMndjWe5vO2LNnj4xMOSJXoPVQnhdeeAGvv/46zjrrLLXu5ZdfxqJFi9Rwq7vuuqtpWxnyI3kG4u6778ajjz6qgpjrr79erbv33nvVsTZt2oTp06erdf3798dTTz2lchaGDx+uhqfJfc8+PeXAgQPqArj1RbxcwLcOZOR1eNxwww246KKLOjy257hFRUVwOp1ITk5u8bjc39HOF7Kd2ac7x23LrbfeigsvvBBPPPGEui8B29y5c1Wg5nmNvf16O2vatGnqMyefCRkadv/99+OEE07Ali1bEBkZ2aItEjxJXpYn0OwRO7J67lgjBnX4MIMWf+1p8QQtV17pmzYRERH1kG93tD+uPz7CiokZsU33v99V2G4wEhtuwaQBcU33l+4pgqOhVQVOALNHtbx4PBr36JyO7d27Fw6HA7NmzWpaZ7FY1Dfc27dvb7HtuHHjmm6bTCbEx8dj7NixTes8F7fe+Q4SvEjA4jFjxgxVEUouhuUYPaW2trZFj4onQLn00ktbrJML+AkTJjTdl54IWfxdfn6+yglZsmRJi/VhYWEt3n+9vN6zGgNkz+dKghgJSv7zn/+0yEsKDQ1VP71773pEfnHPHYtBSwDw+mO5OWVI83pWECMiIup1Q4cOVResx/qtuHcw402O7b3Oc3Hsaj3lQR+QHp/S0tKm+xIUybf2rXtaZBjbz372s6b7MlxKlo5s27ZNVVyT55BASwIEb3I/JSWl3XYdbZ/uHLc1GcYl77t3L5InSPMeNtfbr7e7YmJiMGzYMNU76M0zRDGxp+f4S0loTPXpfexp8Qdef7RMCfE4EJOCAWV58tUH0NAAmHkaiYjIf50yIqndx1oP5DpxWOcvuo4fIhdUx06+UZfcFKniJEOHWue1lJWVqepMVqsVy5Ytaxp+Iz0vq1evxm233XbMbVi5cmWL+ytWrFDBVE/2sggJTryrTO3cuRN1dXUthoxJHkZOTk6LnpauDJeS90kCACkVLSWjhQQKcr+9Smyd2ac7x23NEyjKcD/P8CoZpie5LQ8++GCfvd7uqqqqUr1+khPlTQLP9PR0FUD1qOG9WxbbG692/aynZWBCODanDHUHLbW17mR85rUQEZEf60qOSW9tezQSsMjQLxnu9cADD6ihOBKUfPXVV3jppZfUEDBJqJfcFQly5Bv2xx57TA3H6YnywZJcLSVzf/WrX6lejmeffbbDCQPl4tX72/asrCw1zMvTtvZIcCZ5NtLbIon2so+Q55OATY4pP4XkSHR3uJS8liuvvBKTJ09W7+nTTz+tAoWrr75aPf7cc8/hww8/bDEHztH26ew2HZHhVTKUSs7jH/7wBxUASAEGObee/KK+er2dOYd33nmnmstFAuXDhw+rksoSyF5yySUtnl+CLinw4Nc0P6CXUmu+4pw5s6nk8W/fXa89fPJV7rLHsrz+uq+bRz2EJVKDA89zcOB5DrySx+Lw4cOqbO2AAQM0q9WqSiCfc8452jfffKMel9clJY8TEhI6LHks5Y69yfGeeuqpdkvcyj433XSTdsMNN6iSx7Gxsdrvf//7Dksef/vtt0eU6pXlyiuv7FR53hdffFHdvuuuu7Q5c+ZoZ599tnpNEydO1N566y3Vjssuu0w7Fs8++6yWkZGh3kt5zhUrVrQo5SvvS1f26cw2//znP9X70JFPP/1UGzZsmGaxWFT56ccee0yVs+5siemeer2dOYdz587VUlNTmz6Pcn/Pnj0tjiOfy+joaFXG2eclj/OLNS23sFu7GuR/0LmKigpER0ermTylzFywcc2ciYKGBiStXYuXF+/EkhffxdvvuquOQL7teOYZXzeReoB0FUvSZVJSkiqFSIGJ5zk48Dy3TYYZybfFgwYNOiLZ2x/JJVRDQ4MqReydpN3TpPyuDMWSb+f7wueff656GmRIkSR6T5kypcXQKH8mPRGSZP/dd9/p7jz3lhdeeEH14nz99dfd+t3s0evw5RsBuwM4aXKXd+XwMH/gFVcOSozAy4lepep27vRNm4iIiCgg/eQnP1Fzf0jeipQ7vuaaaxAoZM4VGYoVTCwWixre12tq64C8YqC6Vio3dJyX72hw/9zgdf2aEt+Y0N8xBi3+lIhvMCAzMQJFYTGotIUhsr4G2LXL160jIiKiACPFA2ROD6lw5V2O2d/JBIvB5rrrruu9g1dUARt3tSga1Snllc23Y5rnk+kIgxZ/6mkxGJARFwaTyYh9sf0wPm83sH8/ILOb2my+biURERH1gq4MZepJUo7XD7IIyJey89wBS6gNiIs+ekXbQ3ky6yswwGsCUwYtAUT+YMgYSqMRVrMR/WNDkRWX5g5a5LG9e4FRo3zdSiIiIiIKJpXV7p/jhwM269G3zy10By0DvYKWTmK2r58NDxMyRCwrtl/z4xwiRkRERER9TXJUrJbOBSzHiEGLP2msKDUoIRxZcQxaiIiIiMiHZMRPD86H1BEGLX7Z0xKOfQxaiIiIiChIMBHfzxLxRWZCBPbHeo0F5PAwIiIiIupr08Y2XZ92ynEjW0zl0RXsafEHnpPbODxMelqqbGEoCI91r2fQQkRERER9LcTWtXwW2Vb26QYGLX44PCwp0oZwq6k5ryU/Hygv92EDiYiIiIh6D4eH+eHwMEPjJJP7YtMw7eAW92O7dwOTJ/uwkUREREQUVFZu6vo+clk7fZz79sadQF19y3XtYNDih8PDPBXE9se1ymth0EJEREREfaXOfmz72x2dPgaDFj8cHubJa9nGuVqIiIiIyFeGDzy2/Qf1AxqcndqUQYuf9rTI8LDPWPaYiIiIelhxcTFGjhyJVatWYeDAY7woJZ+7+OKLMWXKFPz617/u+YOnJBzb/gmNRaU6gYn4ftjTUlBRB5dLQ3ZMKlxwr6vdul2tJyIiot6Rl5eHW265BZmZmbDZbMjIyMAFF1yAxYsX6+4tf+SRR9SFamRkJJKSklQ7d+7c2al9H3roIZx//vm9HrA8//zz6jlCQkIwbdo0FST1xD7dOW5f6E67cnJycNlllyE+Ph6hoaEYO3Ys1qxZ06XzfM8996hzWu7nRZsYtPhhIv5bK7Nx27sbYDdbcDgqUa2r37VHrSciIqKet3//fkyaNAnffPMNHn/8cWzevBlffvklTj75ZMyfP193b/mSJUtw8803Y8WKFVi0aBEcDgfOOOMMVFdXd7hfTU0NXn31VVx77bW92r53330Xd9xxB+677z6sW7cO48ePx5w5c1BQUHBM+3TnuH2hO+0qLS3FrFmzYLFY1Gdt27Zt+Otf/4rY2NgunecxY8Zg8ODBePPNN+HXND9QXl4uV+3qZzByDh6s5U6ZojlTUtT9/PJabfOhMm3C/V9pP2aMlZBGLQUHcn3dVDoGTqdTy83NVT8pcPE8Bwee57bV1tZq27ZtUz/9zVlnnaX169dPq6qqalrncrk0u92ulZSUqPt1dXXaLbfcoiUmJmo2m02bNWuWtmrVqhbHOemkk7T58+drCxYs0GJiYrSkpCTtpZdeUse96qqrtIiICG3w4MHaF1980WKfm2++WS1RUVFafHy8ds8996jn76yCggJ1LbVkyZIOt3vvvfdU+7398MMPmtlsbnHesrKy1PH279+vdcfUqVPV6/H+nUlLS9MeeeSRY9qnO8dty/Lly7VTTz1Vi4uLU6/Te+nO9Wh32vXb3/5WO/7447v0PAXtnOf777+/w2N19Lupl+tw9rT44zwtUSEY0y8agxPDkR2d0rRZYnGur1pIREQUsEpKSrBw4UL1jXZ4ePgRj8fExKifv/nNb/DBBx/gjTfeUN+mDxkyRH2bLvt7k8cTEhLU8CAZbnbjjTfiF7/4BWbOnKn2k2/KL7/8ctXr4b2P2WxW+zzzzDN48skn8corr3T6NXiGBsXFxXW43Q8//KB6lLxt2LBB5bjIsCaP9evXq2/8BwwYoO4//PDDiIiI6HDJznaPCLHb7Vi7di1mz57ddDyj0ajuL1++vM12dWaf7hy3LRs3blQ9aBMnTlTvh/RyyPt22mmnqR6TqKioXn+94pNPPsHkyZPVZyMpKUm15+WXX+7WeZ46dar67NTX16PHSx4f67Kic2WTmYjvh8PDPEakRCE7pjlowb59wMSJfdw4IiKiY+TqqHqQoUUhmo63latB09G39d6mE/bs2SMjUzBixIh2t5HhOC+88AJef/11nHXWWWqdXGDKkB0ZbnXXXXc1bStDgyTPQNx999149NFHVRBz/fXXq3X33nuvOtamTZswffp0ta5///546qmn1Fxtw4cPV8PT5L5nn464XC7cdtttaqiRDBXqyIEDB5CWlnbERbxcMLcOZOR1eNxwww246KKLOjy257hFRUVwOp1ITk5u8bjc37FjR5v7dmaf7hy3LbfeeisuvPBCPPHEE+q+BGxz585VgZrnNfb26xX79u1TnwMZVvb73/8eq1evVm2zWq248soru3SepS0SPElelifQ1EXJ4y5g0OJPPS3ef7QBTMiIxfcxXr8AWVl93DAiIqIesPvr9h8LTwTSvSZP3rMY0NoJRkLjgIxpzff3fQs4HUduN9wdVHSWBCxHs3fvXpVPIBeMHpKLIN9wb9++vcW248Y1T6JnMplUkrUkWHt4Lm698x0keJGAxWPGjBkqv0EuhuUYHZEeoi1btmDp0qVHfR21tbUtelQ8Acqll17aYp1cwE+YMKHpvnyzf7ReHH+Qn5+v3ifJFfEWFhbW4v3vi9crQYj0tEivjpDAUc7jiy++2GbQ0tF5liR+4d171yOkZHF3SJnjwpIuBT0cHubHPS1DkyJwMLpVTwsRERH1qKFDh6oL1q58W98RCWa8ybG913kujuWi9VhJkYDPPvsM3377LdLT04+6vfT4SAK4hwRFciHcuqdFhrF5By1dGS4lzyGBlgQI3uR+SkpKu+062j7dOW5rMoxL3nfvXiRPkOY9bK63X69ITU3FqFGjWqwbOXJk03G7cp49QxQTE90FnHpMRmrnl/4pQEQYUFUL5OQ3ByyWzvWhsKfFT+dpEUMkaPHuaWHQQkRE/mjoGR082PILOww5rfPHzTwFPUG+UZfcFClZK8NzWue1lJWVqepMMmxn2bJlTcNvpOdFhvTIkJ1jtXLlyhb3pVqUBFPt9bJI75Dky3z44Yf47rvvMGjQoE49jwQn3lWmpHxuXV1diyFjkochpXi9g5auDJeS90kCACkVLSV6hQQKcr+9Smyd2ac7x23NEyjKcD8pIyxkmJ7ktjz44IN99nqF9Nq1Ll+8a9euFsO7OnueJfCUYEYCqD5XUwfkFwH5xUB9Y8+nBObxMe55XuKjO3cczQ/opWqBrzjT0tzVwwYOPOKxWY/8T6u22NwVxIYN80n7qGew2lBw4HkODjzPgVc9bO/evVpKSoo2atQo7f3339d27dqlbd26VXvyySe1ESNGqG2kIphUhPryyy/VY1deeaUWGxvbVF3MUwlMtvM2YMAA7amnnmqxTq57Pvzww6Z9pKrY7bffru3YsUN7++23tfDwcO3FF19st7033nijFh0drX333XeqMqVnqamp6fB1btq0SVUK87T5rbfeUm2RimfymqWq2ZAhQ9S61pXRuuKdd95RFdZef/119Zn45S9/qaqp5eXlqcefffZZVb2rK/t0dpujVd8KDQ3VLrvsMm379u3aZ599ps7Prbfe2qVqbT3xeuX9lXPx0EMPabt371bnIiwsTHvzzTe7fJ7ls3jNNdf0XfUwR4OmHS7QtHXbNe271c3L6i2adjBP0+x2rasYtPgBZ2qqO2gZNOiIx67+5yptR0KGO2ixWuVfSp+0kY4dL3KCA89zcOB5DrygRRw+fFiVrZWLWKvVqkogn3POOdo333yjHpfXJSWPExISOix53J2g5aabbtJuuOEGVfJYAqHf//73HV5Ety7T61n++c9/dqo8rycguuuuu7Q5c+ZoZ599tnpNEydOVBfP0g65sD8WcqGekZGh3kt5zhUrVjQ9dt9996n3pSv7dGYbef1H+87+008/1YYNG6ZZLBZVfvqxxx5T5ayPJWjp7uuVtowZM0a99xIcS3nsrp5n+VxKYCNlnHs9aCkt17Tt+zTt+7XNgcqy9Zq2+4CmVVRrx8Ig/4POVVRUIDo6WpVxkzJzwcaVmoqC/v2RVFIC4549LR575IvtmLzgKpy+p3FW1YMHgU6MWSX9ka5iSbqUsoZSCpECE89zcOB5bpsMM8rKylJDWFone/sjuYRqaGhQpYi9k7R7mpTflaFYTz/9NPrC559/rqqdyZAiqYQmM657D43yZzK5oyTZy1AqvZ3n3vLCCy+o4WNff/11t343O30dnpUDZDdOvyHvU2xU8/CvHriuYU6LH87T4m1ocuSRyfgMWoiIiKibfvKTn2D37t0qb0XKHV9zzTUB817KnCvPPfccgonFYsGzzz7bt9ermelAWmKPBCseDFr8uHqYGJYcgQ9blz0+8cQ+bBwREREFGikeIHN6SIUr73LM/k4mWAw21113Xd88UXgoYDICThew9yBw4DCQFOfubYk8clLWrmLQ4sfztHgqiB0xwSQREREFjK4MZepJUo7XD7IISC8kOEmMBQpLgbxioLwSOFzoXiSgSY53L9aWJb87i0GLn/e0hFnNsPf3mtmUQQsRERER+YKU4JbgRZbaenepYwlgqmuBfYfceS9x0UBKvLvkcRdyhBi0+PE8LR7hI4a2HB5GRERERORLoTZgYD/3UloB5BUBRWVAceMik0pKz4sEONITcxQMWvw8EV8MyEhEYVgMEmvK2NNCRERERPoilcRkaXAChSXuAKaiGjiU715OmnzUQzBo8fPhYWJoUiQOxiS7g5bcXKC2Fgg9esRKRERERNRtm3Z1fxhZiBWos3d6FwYtATA8TCqI7YtJwXGHd7pX7N8PjBzZhw0kIiIioqBTWtFnT8WgJQCGh0kFsSXec7VIXguDFiIiIiLqTZKPgr6pMMegJQB6WqSCWFW//s0rWEGMiIiIiHrb8IHoKz03TSX5rKdFmDIzm+8waCEiIiKiAMKgxR90YmKn8JEse0xEREREgYlBSwAMDxMpo4bCYTS577CnhYiIiIgCCHNaAmR42LC0GOREJWFgWa47EV8CnS7MMkpEREQkiouLMXLkSKxatQoDB/ZdzgL1vIsvvhhTpkzBr3/96955e3d0c1LzEYPcP/cdAuyOluvawZ6WAJinRQxOCkd2TGMFscpK+YvTR40jIiIKDnl5ebjllluQmZkJm82GjIwMXHDBBVi8eDH05oUXXsC4ceMQFRWllhkzZuDLL7/s1L4PPfQQzj///F4PWJ5//nn1HCEhIZg2bZoKknpin+4ct7d9//33OPfcc5GWlgaDwYCPPvroqPv86U9/Utt6LyNGjGh6vLKyErfddhsGDBiA0NBQzJw5E6tXr25xjHvuuUedz/Ly8l55Xcgv7t7iUVx25Lp2MGgJkOFhUkGsNCmteQWHiBEREfWY/fv3Y9KkSfjmm2/w+OOPY/PmzSoIOPnkkzF//nzdvdPp6el49NFHsXbtWqxZswannnqqCkS2bt3a4X41NTV49dVXce211/Zq+959913ccccduO+++7Bu3TqMHz8ec+bMQUFBwTHt053j9oXq6mrVFgmoumL06NHIzc1tWpYuXdr02HXXXYdFixbhX//6l/o8nnHGGZg9ezZycnKathkzZgwGDx6MN998E71W8jglvuuLR0LMkevao/mB8vJyuWpXP4OOy6U5jUYtd8oUzTljRoebvvfzmyW8cS/vvNNnTaSe4XQ6tdzcXPWTAhfPc3DgeW5bbW2ttm3bNvXT35x11llav379tKqqqqZ1LpdLs9vtWklJibpfV1en3XLLLVpiYqJms9m0WbNmaatWrWpxnJNOOkmbP3++tmDBAi0mJkZLSkrSXnrpJXXcq666SouIiNAGDx6sffHFFy32ufnmm9USFRWlxcfHa/fcc496/q6IjY3VXnnllQ63ee+991T7vf3www+a2Wxucd6ysrLUtdn+/fu17pg6dap6Pd6/M2lpadojjzxyTPt057htWb58uXbqqadqcXFx6nV6L8d6PSrH+PDDD4+63X333aeNHz++zcdqamo0k8mkffbZZy3WH3fccdof/vCHFuvuv/9+7fjjj+/276ZersPZ0+JPlcM66GkR5iGDm++wp4WIiPyE0+Vsd3Fprk5vK0tntu2qkpISLFy4EDfffDPCw8OPeDwmJkb9/M1vfoMPPvgAb7zxhvqWf8iQIepbftnfmzyekJCghi3JcLMbb7wRv/jFL9TwHtlPvjG//PLLVa+H9z5ms1nt88wzz+DJJ5/EK6+80qn2O51OvPPOO+rbfhkm1pEffvhB9Sh527Bhg8pxkeFWHuvXr0dsbKwamiQefvhhREREdLhkZ2erbe12u+oBkl4BD6PRqO4vX768zXZ1Zp/uHLctGzduVD1oEydOVO+H9KjFxcXhtNNOUz05MtyuK6/3WOzevVsNKcvMzMS8efOajtnQ0KDOq/c5ETJMzLs3RkydOlV9burr6+HPmIjvL0n44iiJ9ZGjhjXfkWR8IiIiP/BDzg/tPhYXEodxieOa7i87vOyIQMYjxhaDCUkTmu6vyF0Bh6sxydfLyf1P7lL79uzZIyNTWuQTtCYBgeSRvP766zjrrLPUupdfflkN35HhVnfddVfTtjJMSHINxN13362GcUkQc/3116t19957rzrWpk2bMH36dLWuf//+eOqpp1Rew/Dhw9VwILnv2actso0EKXV1deoi+sMPP8SoUaM6fK0HDhxQF8mtL+LlAr51ICOvw+OGG27ARRdd1OGxPcctKipSF9zJycktHpf7O3bsaHPfzuzTneO25dZbb8WFF16IJ554Qt2XgG3u3LkqUPO8xq683u6SfBz5PMn5zs3Nxf33348TTjgBW7ZsQWRkpDq3f/7zn1X75DX++9//VsGZBMut2yEBneRkeYJMf8SgxZ96Wo4StKRO8PpDxJ4WIiKiHvqn+Ojzpe3duxcOhwOzZs1qWmexWNS33Nu3b2+xrSTIe5hMJsTHx2Ps2LFN6zwX3d55GBK8SMDiIResf/3rX9VFuhyjLXKxK8GFJGG///77uPLKK7FkyZIOA5fa2tojvr2XY1x66aUt1skF/IQJzQGi9ETI4u/y8/NVT4W8T97CwsJavP998Xo9wa/nMzNt2jQVdPznP/9ROUeSy3LNNdegX79+6jNw3HHH4ZJLLlG9Ta17X4R3z50/YtASQMPDBg3rjwpbGKLqa+Dctw9t/wkjIiLSlxP6ndDuY94XimJWWnNQcDTTU929FMdq6NChqh1d+ba+IxLMeJNje6/zvGaX92iLbrBarU3fusuQL6ksJUPL/vGPf7S7j/T4lJaWNt2XoEi+2W/d0yLD2H72s5813ZfhUrJ0ZNu2barimjyHXGRLgOBN7qekpLTbrqPt053jtiYX/PK+e/cieYI072FzXXm9PSUmJgbDhg1TPX9CEuwluJJevoqKCqSmpqoeIRlK5s0zPDExMRE9bsPObuykARPa77VsD3NaAmh4WKjNjLx4d1ekUcY8NjT0duuIiIiOmcloancxGoyd3laWzmzbVfKNuuSmSOUnuUBsraysTF1ASpCwbNmypvXS8yKBwtGGZHXGypUrW9xfsWKFCqba62Vpi1yMHy2vQYITudj22Llzpxpe5j3USYYgSYUq754WGS4lPTIdLZ5jyPskAYB3qWhpm9xvL+emM/t057htvUfC+zzLMD3JbfHuberK6+0pVVVVqkdPghNvkmcl6yTY/Oqrr1SVOG8SdEo1OQnqelx5ZTeWqm49FXtaAmh4mKhMSQcO74HB6QQOHgQGdTxRDxERER2dBCwy9EuGez3wwANquI4EJXKR+NJLL6khYJJQL7krEuTIN+yPPfaYGpLTE+WDJQFbSvn+6le/Ur0czz77rBoe1h7JlZHhRdIOmc/j7bffxnfffafa2xEJzmRfuQCWRHu5+BbyfJLrId/yy08heRLdHS4lr0WGq02ePFm9p08//bQKFK6++mr1+HPPPadycLwDkKPt09ltOiJDsGQ4lZzHP/zhDypIkAIMcm49+UXdeb0ScHh6SERWVpZ6bz2flbZe75133qnmdpEhYYcPH1ZlnCVIlSFgQs6lDF2UYYBybGmz5F21fq0ScElxh14x4CiBmVyPVla7AxWzCUhL6vbk5wxa/Kmn5SjDw0TDwEHAuu+ak/EZtBARER0zGXIjwYJM1Cezi0titAy3kZ6Jv//972obSaiXb+ql8pcECnLhLBeWcvF/rK644gqVbyIX4nLhumDBAvzyl79sd3vJh5F9pJ3R0dEqyJK2nH766R0+j+TWSG6E5E1IgCQX1hLI7Nu3Tz0mvUaSEC4X8X/7299UXkV3yDCmwsJCVXRAEsSl10YqtHnyeSSpXgKGruzTmW0ksV0u6tvLU5JzKq9dzrG8ZxJQSNDiCdS6S+bKOeWUU1oEV0ICLGlTW6/30KFDKkApLi5W7Tr++ONVD5tnmJfkKkmAKdtJ8CPD9eTz6T3UUHrJZCJLeQ96xcBO9iZJD8uWPUBVDTCmZaGAzjJI3WPonIzTk184OTlSZi6oVFXBFR2NgkmTkBQdDeOiRR1uvuF3D2LCX/6oblf87e+IuuXGPmooHSv5h07+kUlKSlIlGikw8TwHB57ntskFlHzDPGjQoCOSvf2RXEJJ6VkpRdw696YnSfldufiWXoO+8Pnnn6tv7WVYkfTWTJkyBQ8++CACgfRWSB6I9Drp7Tz3hhdeeEH14Hz99dfd/t3ssevwghJg+z5gSAbQL6nLu7OnJYAS8UX06ObEprpdexBkIR4REREdo5/85CdqfhDJW5Fyx1KhKlDInCsyFCtYWCwWNbRPFxJi3EPD8ooYtAR7In5BRR2q09Kb7lds24WCnHIkRdqQFOX/32gRERFR37jtttvU8CqpvOVdjtnfySSLweS6666DbsiX77LU1nVrd/a0BFAi/lsrs/HiV7nwFJ+r3L4bP312KRacNhS3n+418SQRERH5ja4MZepJUibYD7IIyF/U1rsT87tQ8c4bg5YAGh42b1oGTh+VjKJXEpFQXogh1QX47JbjVU8LEREREZFPOBqAnVnu2xHuyS67ikFLAA0PkyFgsuxPS1dBS2RFKcZEm4AIDg0jIiIioh62ozEQ6ejLd7sDqKhuvqZN79xEn60Zu1urfODAgaq6gNSzPtr4QKl2ITWkpe51//79cfvtt6sqBdTz87Qo3jOhStljIiIiIqKell/c8SIVw8oq3QGLyQgMG+BOyO+LnpZ3331X1ZZ+8cUXVcAiAYnU75YZU6VUa2symdHvfvc7vPbaa5g5cyZ27dqFq666SpWMe/LJJ7vV6KDSxXlaRNzo4cDn7tuO3XtgCaAEOiIiIiLSiZQE+Ya9/cflC3ezGQgPBeJj3BNMdlOXgxYJNK6//vqm2TYleJF63hKUSHDS2o8//qhmkL300kvVfemhkYlyVq5c2e1GB5Vu9LREjmpOui/avAOpF/ZGw4iIiIgoqA0f2GdP1aWgxW63Y+3atWr2TQ+ZBG/27NlYvnx5m/tI78qbb76phpDJLK4yo+oXX3yhZottT319vVq8J7XxTNYlS1CR12w0QjMY4JJqC515/YMGQWvslancsRvJwfae+Sn5bEuVlqD7jAcZnufgwPPc8fviWQKB53UEyuuh4DzPWuPvZFvX2nq5LulS0FJUVASn04nk5OQW6+X+jh072txHelhkv+OPP75pRtEbbrgBv//979t9nkceeQT333//EesLCwuDLxemtBSu445D+ZAh0BISYCwoOPo+8fHApEnqZqUBapZ10j/5oyCzzcrviXwZQIGJ5zk48Dy3zeFwqPdGrgVk8Xfy91qui4S/zZROnRcM57mhoUH9bhYXF6sJKb1VVlZCD8x9UVv84Ycfxt///neVA7Nnzx4sWLAAf/7zn/HHP/6xzX2kJ0fyZrx7WiSBPzExEVFRQTbHu3yI1q2D/Iok2u0wtpE3dISEBDg3b4HJXg/H4ZI2c41If+SPhfwxlM85g5bAxfMcHHie2yZfPMoFkNlsVkugaH2RR4EpkM+z2WxW1x7x8fGq0Ja31vd9pUt/MRISEmAymdTsqN7kvkxA1BYJTGQomGdGTplVtbq6Gr/85S/xhz/8oc2LM5vNppbWZNugvJiTi1n59t1g6NzrNxrh6JcOy97dSMg/pAIeQzC+b35Igpag/ZwHEZ7n4MDzfCT52ybvi2cJhG/gPa8jEF4PBe95NjT+TrZ1DaKXa5IutcJqtWLSpElYvHhxi2+T5P6MGTPa3KempuaIFyuBTyCPC/TVPC3ezEMHq5+hDfXI332gN1pGREQUFOR6Rb5sjYuLUxd2GzZswMknn4zbbrutW8eT66aRI0c2DTmiwCUpEjLi5dChQ75uit/rcugkw7ZefvllvPHGG9i+fTtuvPFG1XPiqSZ2xRVXtEjUP/fcc/HCCy/gnXfeQVZWFhYtWqR6X2S9J3ihDngHdl2IdE1ec7UcWruVbzEREVE3LVy4EK+//jo+++wz5ObmYsyYMfjvf/+rhrp7SHVUmQaiM37zm9/gnnvuCarrIAnyJOB79NFHj3jsJz/5iXrsT3/6U5eDSbkmlS/OJX0gIiICo0ePVmkIko7Qnv3797fo8ZMhUWeccQbWr19/RHtlkeFRcn7PO+88dd5b8z6WZ5Fcbs8oJbk2vu+++7r02qgHgpa5c+fiiSeewL333osJEyaobxvkl9mTnJ+dna1+oT3kl/LXv/61+jlq1Chce+21al6Xf/zjH1196uDUzZ4W7wkmi7fs7OFGERERBY+9e/ciNTVVVUSV4fAy/l96XSIjI7t8rKVLl6rj/exnP0Nv8hQ/6uk85bZIhVj5AvtoJD9Zgj9vOTk5qudJ3t+uvj4p9nTrrbfi7LPPxtdff41t27bh1VdfVUHGgw8+eNRj/O9//1PXrF999RWqqqpw1llnoaysrOlxmeJDHpcASOYplN6xiy++WPW6tfbPf/5TbetZPvnkk6bH5Iv9t956CyUlJV16jdSK5gfKy8ulu0H9DDp792pOo1HLnTJFc156aef3++AD6aNRyyc/+1VvtpB6iNPp1HJzc9VPClw8z8GB57lttbW12rZt29RPf3HllVeqaxDPMmDAALX+pJNO0m699VbNbrer297bdHR5dfPNN2s///nPW6y77777tPHjx2v/93//p44fFRWlzZ07V6uoqGjapq6uTrvlllu0xMREzWazabNmzdJWrVrV9Pi3336rnveLL77QjjvuOM1isah10rb58+drCxYs0GJiYrSkpCTtpZde0qqqqrSrrrpKi4iI0AYPHqz260hlZaWWmpqq3XbbbS3W//DDD1p4eLj27rvvdri/tOPGG2/U4uPjtaVLlzatf+ihh7Rzzz1XvX55HzxKSkq0yy+/XLU5NDRUO/PMM7Vdu3Y1Pf7vf/9bvd6PP/64zedzuVzttiUrK0vtu379+qZ1y5YtU+sWLlzY1F55zzzHkvMsP1977TW13aJFi5r2lfsffvhhh69/0KBB2iuvvKL54+9muU6uw/WRWUM9PjwMg905LcK6P4vvMBER6dPkyUB6et8v8ryd8Mwzz+CBBx5Aenq6+gZ99erVR2zzwQcfqMdlO8837e354YcfMLmN55bel48++kgNQZNlyZIlLYZSyZAyeR4Znr9u3ToMGTJEjVxp/e29TPQt+8kQ/nHjxql1so8MU5IekVtuuUUN7f/FL36heo7kWDI0SoomSR5ye2TolQzxl7n3PJOJy0Th0sshhZUuuuiiTuVGz5s3T/VKeEjPyzXXXHPEtldddRXWrFmjeixkLkCJDeS5pGy2+Pe//43hw4erIVtt6WrCfGhoaNOchB258sorERsb2+YwsY7IXIVy7qn7AqfeYKDq7vCwIUOabiblHkB1fQPCbTzdRESkM3l5MkYIehUdHa2GgUn+SXuVUmWomDwu27W3jceBAweQlpZ2xHopbCQX8J4hZxJEyLCphx56SA29kvxgeVyGMAnJ5ZAgQoZD3XXXXU3HkcDp9NNPb3Hs8ePHq2H6QvKOJaiRIEaGPwkZ8i/H37RpE6ZPn95u2yVfRJ7z1FNPVfN5vP/++6oYgXcu89FIgHLCCSeoYFAmLJf5yc4555wW+Sy7d+9WwcqyZctUYCVkeJUML5PATgKuXbt2qaDFm7TllVdeUbdjYmI6nfwuQ8IkP0kCMwkuOiLFpYYNG6byYrxdcsklLXKUJLi74IILmu7LOffOmaGu41WsP/W0dCVoCQ+XwaPAwYPILD6EHbkVmDQwrleaSERE1G1HucgPtOetra1tc94LSfT2zpGRHA/P5NDSCyM9DLNmzWoxZ4hcYEuPire2enE8PS5CLqwl8VymoPDw5CV3ZjJqyWeWggPS4yDBhwRJXSEB1NChQ1XA8+2336rgrPWcPfKaZJ3M7+chbZYgpfXr9SY9PvPnz1e9IDJH4NFIQCRBiASFmZmZKm+l9QTqRyuB7PHUU09h9uzZTfdb5+hIT05HPVkBo7YOKK0Eqmul2wpwNn75bjJKVxsQHgrERgKhXZ/7hUGLP/W0dLVOtnwDcfAgouursW9bFoMWIiLSnzVrEEykh6O0tPSoExfKRbH0vnRVuHxp2Ylje6/zXIB35vl27typhqpJz8Knn36Kv/71r6rgUldIb8vzzz+vEudlyFp3SOAjbfEmkzPL0tlJtSVIkSJREhBJz0xnSJlq6QmaMmVKi/XSwyZD9tojw/ikbQGrvBLYdwioOHpBBiUqHMhMB6I7X8yCOS2B2tMivLpNSzds6cFGERERUet8jc7MuzJx4kR1sd4VgwcPVseX4VIe0vMi+TVy0d1XpMdHhobJ8Ky3335b5d7I0LLnnnuuS8eRql+bN29WpaPbar9U6ZLKZ5Iz4yHD0SRI8WwvQZPc//jjj7v9emS4mby3nQ1YPPlBEnR2tfrbli1b1LkPSIcLgA07WwYsVgsQEQZER7gXuS3rPGRb2Uf27ST2tARqIr4YNqzppn3bjh5sFBEREbUe3vX999+rkrg2m031qLRFkuflwrervSeSPC+5K5I/k5GRgccee0wNN5KpJPqClASWgEXmVPnb3/6m1p100kkqx+T8889XORsXXnhhp44liexSrKB1D5B3L4ocU3JuZIoMGTYnyf/9+vVT64W8zzIMTH5KTo28rzK0S3KGpAelJ+bAkfc3Ly9PBYhyXMmzkaFxci5OOeWULh1H8nc6M2TN71RWA3sOum9HhgHpyUBsNGBpJ8RwNACl5cDBfKCqxr1vRLi75+Uo2NMSqIn4rXpaQvftgcvlFQARERFRj5HcDknOlm/uOxoGJNWztm7desTQpqOR5Hn5dl9yQI477jg1d4jMLyIBQF+QJPW///3vKojwzueQpP8vv/wSp512WpeOJ70bbQ1l85AKY5MmTVJJ+jJ5pOSRfPHFF02BjrRBghMJImS9PL/kvMjQM+lBkflwjpUUO5DcFBn2JdXRJJ9GnlPeh66Q3iAJNCUHKOAcynd/wZ4YB0wcCSTFtx+wCHlMtjlOto1z7yvH6ASD1D2GzlVUVKjqHVJhQmY8DSqbN8M1YQIKJk1C0oQJML70Uuf3lcoWgwapm18PnY6hP/4PgxKOHsmSb8hYYkmClLG4khhIgYnnOTjwPLetrq4OWVlZGDRoUJvJ6P7GM4GjJI13pcSu9JjItQ0n2vYP3T3PHlKRTSbBlGFx/vi7WdHRdfjyjYDdAcwY33L4V2fIfrK/7Cf7HwWvjAJ5eFhGBtD4wZMKYtsOV/Rw44iIiKirpMrVgAEDupVoT/6lqKhIDZuTHJyA5GgAzKauByxC9pF95RidwKAlkIeHSZAzdKi6mVGWhx2HWk5ARURERH1Phkb9/ve/Z696EJDcJqm21p0eGr9gMQMNTnevSVfJPrJvR8PJvDBoCeTqYV7J+FZXA4o2MRmfiIiIiHpITGPJ4j3ZLa9Zj0a2lX1EJ8ses3pYIM/T0ioZ37GdQQsRERER9RCpFlZY6l5qt7vvx0XJ5EBtb+9wACUV7uR7qR4mX8jLPp3AoCXQe1q8gpbog1koq7EjJszaQ40jIiLqOj+oAUQUVLTu/k5GhgNDMty9JhKE7Mhyr5chXzZr8xfu8iV8vb1l/opc1w7p36lyx4JBSyAn4rcKWgaX5GBbbgVmDm67djwREVFv8pSrlXkrQkND+WYT6URNTY362d7cOR1KSwTCQ4GsQ0B5lXudBCcdJdhHRQCZ6e6JJzuJQUsgJ+K3mmAys+QQtuZWMmghIiKfkAn/JAldyruLsLAwv05QPtZSuOQfAvk8a5qmAhb5nZTfzW5PyinBx4QRQG09UFYBVNc2J9oLT4UxCW5iooBQW5efgkFLoA8Pk0mnkpOB/HwMKT6I91j2mIiIfCglJUX99AQu/n7BJ2WLZW6tQLuYpeA6zzExMU2/m8dEgpHQ9idXPRYMWgI9aBFjx6qgJaGmHJvX7UTBmcORFOX/k3oREZH/kYs+mWVcJtJ1SFKuH5ML2eLiYsTHx7N8cQAL9PNssVi638PShxi0BPrwMDFmDPC//6mbift343BZLYMWIiLyKblI8ocLpaNdzMoFn8wgHogXs+TG86wPDFqCoKelYsgIRDXeHl54AN/uKoTZZERSpI3BCxERERHpHr8WCPR5WgB8psU33R5euB/P/G83znl2Kd5a2TipDxERERFRVy1Z07z0Mva0BEFPy+yfnQLtVgMMmobhRfsxc3A8fn/2SNXTQkRERESkdwxaAn2eFgBJqfFAZiawdy+GFWWjpLIWY/pF91wbiYiIiCj4DEjrs6fi8LBgSMT3VBCTmviOejj27IPD6XVcIiIiIqKuGpjWvPQyBi3BUPLYU0Gs0eC8LOzOb5yxlIiIiIhI5xi0BEEivndPixhWdACbDpUdY8OIiIiIiPoGg5Yg7GkZUXgAm3LKj7FhRERERER9g0FLECTiK0OHAlZrU9njzYcYtBARERGRj9TVuxfva90OMGgJlkR8iwUYOVLdHFSSg32HilDf4OyBBhIRERFRUNqwE9iwA+jONeWabcDKzUBZZac2Z9ASLMPDxIQJ6odZc6lk/B25nfuQEBEREREdobwSKK/qdG9JCxGh7p9VNZ3anEFLsAwPE5MmNd0cl7eHeS1ERERE5BsRYe6fDFoCRE8NDxOTJzfdHJu7G5tZQYyIiIiIfCEy3P2zsrpTm5t7tzWkq+Fh48cDJhPgdGJc3m78k8n4RERERHSstu3t+nWqJw+mtr5TmzNoCZZ5WkRYGDB6NLBpE4YWZSP7UCFq7U6EWk3H3EwiIiIiClJlvZ8nzaAlmHpaPEPENm1Syfgj8rOwLbcckwbEHftxiYiIiCg4JcUBxh64Tu0Ag5ZgSsT3BC2vvaZujs3bg40HGbQQERER0TEYkgFYejesYPWwYErEb5WML3ktm3M4ySQRERER6RuDlmAbHjZunHuiSVVBbA82sYIYEREREekcg5ZgGx5mswFjx6qbQ4oPIu9wESrrHMd+XCIiIiIKLikJQEp8r+ezCAYtetfTw8O8hogZoWFU3l5syanomeMSERERUfAYPhAYPsg9pUYvY9ASbMPDxNSpTTcn5ezA5pyynjkuEREREVEvYNASTPO0eMya1XRzUs42bOIkk0RERESkYwxagrGnZfhwID5e3Zx8aDs2Z5f2zHGJiIiIiHoBg5ZgS8T3BD+NvS2xdZUw79mNshp7zxybiIiIiOho17d5Re6loQGdwaAlGBPxWw0Rm3JoK+drISIiIqKuWbLGvTg6F3i0uKbNygF27gfKqjq1C4OWYBwe1ipomZyznXktRERERNR3IsLcP6uqO7U5g5ZgTMT3lD2WOVuakvFZQYyIiIiI+jhoqazp1OYMWoK1p0UClsb5WgaV5uLQ9v09d2wiIiIiCiJa13eJ9PS0dC5oMXf9GSggghbPELFly9TN9O3rsf3wGRiZFtWzz0FEREREgW3Fpq7v47nEtTs6tTl7WoJ1eJg4/vimm9MObsGKrKKePT4RERERBT6X1vXF+4v5TmBPSxD3tBSOm4wEgwEGTcP0g5vxxO5iTBkYj6RIG5KiQnr0uYiIiIgoQA3JAEy92xfCoCUY52lp9OauSpyWPBjj8vZgVEEW1q/bjXN2FGDBaUNx++nDevS5iIiIiChAJcUBlt4NKzg8LFjnaQEwb1oGUs8/q+n+CTlb8fHNs9R6IiIiIiK9YNASxMPDZAhYolfQMiVrA6xmI4eGEREREZGuMGgJ5kR8cfzx0Mzu7rwZBzZhXXZpzz8HEREREQWe4QPdSy/nswgGLcFc8lhERsIwZYq6OaTkEHav39nzz0FEREREgSclwb30xhfrrTBoCeJE/Canntp007xkSe88BxERERFRNzFoCeJE/LaClqFbV6Ooqr53noeIiIiIqBsYtAT78DAxYwZgs6mbsw5swLr9Jb3zPERERERE3cCgRe/6YnhYaChw4onqZnpFIbJ+XNc7z0NEREREgWPDzsZlR68/FYMWveuL4WFizpymm9ZFX/fe8xARERFRYCivbFyqev2pGLToXV8MD2sVtAxetwz2Bq9giYiIiIiotZjI5qWXuSfooOCdp8Vj9Gho/frBkJODqdmbsW1fHiYMS+u95yMiIiIi/zZ+eJ89FXta9K6veloMBhgae1tCGuzI/XRR7z0XEREREVEXMGjRu74KWsSZZzbdtC5m0EJERERE+sCgRe/6KhFfzJ4NrXEI2qC1S6F5B0xERERERD7CoEXv+rKnJTYW2pQp6mZmwQHkb93Tu89HRERERP5r5Sb3UlTatf2k2piUSt64s+UX9B1g0KJ3fTFPixfjWWc13c577+Nefz4iIiIi8lN1dveybR9Q2IXJyaPCgXo7UFYJlFR0ahcGLXrXl8PDWpU+tvyPeS1ERERE1Ikv2bdnAQWdDFzkmjY1wX27tLxTuzBo0bu+HB4mpkyBPSpG3Ryw/kegoaH3n5OIiIiI/JPFDCTHu69Zd2QB+cWd2y/efb2JiupObc6gRe/6ap4WD5MJztNOUzcjaqtQt+zH3n9OIiIiIvJPBgMwYlBz4LJzf+cCl/BQ97619Z16GgYtetfXPS0AQs/9SdPtwvc/7ZPnJCIiIiI/NmJQyx6XvKKj72MyMhE/YPRxIr5yxhlNN63/+7pvnpOIiIiI/D9wSWnMVZEel5yC9rd1OIAGJ2A2derQ7GnRu75OxBf9+qEkc5i6mbhzM1DcybGJRERERBTchg9sTrLfk+1e2pr771C++2dEWKcOy6BF73wwPEw0nO7ubTFqGrSvvuqz5yUiIiIiPzdsIJCW6L4tvS3rtgFFZYDT6e5hyc4FDjYGLYlxvRe0PP/88xg4cCBCQkIwbdo0rFq1qsPty8rKcPPNNyM1NRU2mw3Dhg3DF1980Z2nDj59nYjfKPZn5zfd3vjyOyioqOuz5yYiIiIiPzd0AJCR6r5dVQvIpOVL1wM/bgSyctxfzEsvS0p8pw7X5avgd999F3fccQfuu+8+rFu3DuPHj8ecOXNQUND2mDW73Y7TTz8d+/fvx/vvv4+dO3fi5ZdfRr9+/br61MHJRz0tlpNORK3N3V2Xvup7FJTX9tlzExEREVEAGNQPGDsUCLUd+Vh0BDBuaKevb81dfe4nn3wS119/Pa6++mp1/8UXX8Tnn3+O1157Db/73e+O2F7Wl5SU4Mcff4TFYlHrpJeG9B20FNS5kD9uGsau/hYJNeVYt3gpcPqJSIq0ISkqpM/aQUREREQ6JUn3UgGsI3HRwJQxQGkFUF3rvp6NDAOiI7v0VF0KWqTXZO3atbj77rub1hmNRsyePRvLly9vc59PPvkEM2bMUMPDPv74YyQmJuLSSy/Fb3/7W5hMbVcLqK+vV4tHRUWF+ulyudQSVOQ1G43QDAa45CT30et/a8UBFMSPwUPGJer+ltf+gxt2GHDLqUOxYPbQPmlDsJHPtqZpwfcZDzI8z8GB5zk48DwHh2A/z66OXrck3XeGXMNK8CJLN3UpaCkqKoLT6URycnKL9XJ/x44dbe6zb98+fPPNN5g3b57KY9mzZw9uuukmOBwONcSsLY888gjuv//+I9YXFhairi7Icivi4uA67jiUDxkCzeGAsZ1heD3trCGhKL7rUhQUr1D3z06ox6zLRyI61NLuUEA69j8K5eXl6g+jfBlAgYnnOTjwPAcHnufgEOznubKyEnrQ5eFh3TnRSUlJeOmll1TPyqRJk5CTk4PHH3+83aBFenIkb8a7p6V///6qlyYqKgpBpbgYrnXrIAPDEkNCYExK6pOnVc8yMB37c0owMC8LidKGfzwPxHcuWYq697tiMBjU5zwY/ygGC57n4MDzHBx4noNDsJ/nkJAQ/wtaEhISVOCRn99YoqyR3E9JSWlzH6kYJrks3kPBRo4ciby8PDXczGq1HrGPVBiTpTX5oATdh0VKw8kvS2N039ev/9DUE5H50V73na+/BubN69PnDzbyRzEoP+dBhuc5OPA8Bwee5+AQzOfZqJPX3KVWSIAhPSWLFy9uEX3KfclbacusWbPUkDDv8XC7du1SwUxbAQvpIxHfI+Kn5zTf+fLLPn9+IiIiIqIuh04ybEtKFr/xxhvYvn07brzxRlRXVzdVE7viiitaJOrL41I9bMGCBSpYkUpjDz/8sErMJ/3O0+Ix5KdnotIa6m7KlwvdPT9ERERERHrOaZk7d65KiL/33nvVEK8JEyZg4cKFTcn52dnZLbqRJBflq6++wu23345x48ap+VkkgJHqYaT/npaoyDD8OHIqZm5cAmNJMbBmDTBtWp+3g4iIiIiCV7cS8efPn6+Wtnz33XdHrJOhYytWuKtQkX8FLaL0pNnARnfpY3zxBYMWIiIiIupT+sisId0ODxPRFzKvhYiIiIh8h0GL3umgp2XctNHYljTIfWf1aoDztBARERFRH2LQ4k9Bi496WqJCLNg2fmbziq++8kk7iIiIiCg4MWjxp+FhPuppEbWz5zTfkbwWIiIiIqI+wqBF73QwPEykn30qKmzhzT0tLH1MRERERH2EQYve6SARX0wakoQfBk103yktBVau9FlbiIiIiCi4MGjRO530tEhey55Jxzev+PJLn7WFiIiIiIILgxa900EifpMzz2q+zbwWIiIiIuojDFr0TieJ+GLs5OHYkjzYfWfdOiAvz6ftISIiIqLgwKBF73QyPExMHhiH7wZPbl6xcKEvm0NEREREQYJBi97pJBHfk9dycNqJzSuY10JEREREfYBBi97pqKdFxJxyAso9pY+//hpoaPB1k4iIiIgowDFo0TudBS3Thibh+0HHue+UlQErVvi6SUREREQU4Bi06J2Ohod58lqWeOW1VH/4iU/bQ0RERESBz/dXweRXPS2S11Iw8+Sm+8avmIxPRERERL2LQYve6WmeFgAFFXVIGJyBTSlD1P3QrZuxY+0OtZ6IiIiIqDf4/iqY/GaeFvHWymz8d30Ovs1sHiL26h9fUOuJiIiIiHoDgxa909nwsHnTMvDer2bgh8GTmtbdY9iv1hMRERER9QYGLXqns0T8pKgQTBkUB8ekySgNiVTropd+h6RQk6+bRkREREQByvdXweRXPS0es4anNJc+rqgAfvzR100iIiIiogDFoEXvdBq0nD02Fd96lT7Gl1/6sjlEREREFMAYtOidzoaHeYxKjcKWMdPgQmMg9cUXvm4SEREREQUo/VwFk1/1tBiNBoydMBSbUoe6V2zeDBw65OtmEREREVEAYtCidzoNWsQJQxPwXWZzFTEOESMiIiKi3sCgRe90Nk+LtxOGJraYr4VBCxERERH1BgYteqfjnpbESBsaJk5CcWiUe8WiRYDd7utmEREREVGAYdCidzpNxPc4YUQylniGiFVVAcuW+bpJRERERBRg9HcVTH7T0yJOHNYqr4VVxIiIiIiohzFo0TudBy2TBsRi9bApzaWPOV8LEREREfUwBi16p/PhYTazCSPHDMKGtGHuFVu3AtnZvm4WEREREQUQ/V0Fk1/1tIgThyawihgRERER9RoGLXqn854WceKwRHznXfqYeS1ERERE1IP0eRVMftXTMighHGUjxqAwLMa9YvFioL7e180iIiIiogDBoEXv/CBoMRgMqvTx95nHuVdUVwM//ODrZhERERFRgGDQ4k/Dw3QatIgThyYyr4WIiIiIegWDFr3zg54WMXNIPH7MPA5OQ+NHinktRERERNRDGLT4S9Ci44BFRIVYkDmsP9aljXCv2LEDyMrydbOIiIiIKAAwaPGX4WE6D1qaq4hNal7BiSaJiIiIqAcwaPGn4WE6VlBRh36xofhucHPp44oPP1HriYiIiIiOBYMWf+lp0ekcLR5vrczGr/+zEVuTMlEQHqvWWb77Du/8sNvXTSMiIiIiP6fvK2Hym56WedMy8Nktx2PywLimIWKhDfW4wn7A100jIiIiIj/HoEXv/CQRPykqBGP6RePMMSn4LrN5iFjMkv/5tF1ERERE5P8YtOidnwwP8zh9VDJ+HDQBDZ7Sx0zGJyIiIqJj5B9XwsHMT4aHeQyID8fkCZlY22+ke8WuXcDevb5uFhERERH5MQYt/hK0+ElPi6e3xbuKGHtbiIiIiOhY+M+VcLAPD/Mjp45IxhLv+Vq++MKXzSEiIiIiP8egRe/8JBHfW2KkDbZJE5EXEede8e23QG2tr5tFRERERH6KQYu/9LT4UdAiTh/tVUWsrg747jtfN4mIiIiI/BSDFr3zw54WcfrIZHzrVfqYeS1ERERE1F0MWvTOT4OWIUkROHjcDDiMJvcK5rUQERERUTcxaNE7Px0eZjAYMHNiJtakj3KvkLLHu3f7ullERERE5IcYtOidn/a0iNlS+phVxIiIiIjoGDFo0Ts/DlomD4jFmlEzmld8+aUvm0NEREREfopBi9756fAwYTYZMeCEKTgcmeBeIRXEamp83SwiIiIi8jMMWvTOj3taxGzv0sf19e45W4iIiIiIuoBBi975cU+LOHFYIpYO8Sp9zCpiRERERNRFDFr0zs97WiJsZjhPORV2o1ndd372efNrIiIiIiLqBAYteufnQYs4YVImVvd3lz42ZR8Adu70dZOIiIiIyI8waNE7Px8eVlBRh/TYUHzryWsBkPv2+2o9EREREVFnMGjxl56WMA2oq4C/eWtlNq7652p8O3hK07rs199V64mIiIiIOoNBiz/0tIQbgHAXUF/Vcr0fmDctA5/dcjxGnDQZ+2LT1LqpOdtw2dBwXzeNiIiIiPwEgxZ/6GkxNg4Pq8xpXp+3CTi4Gmioh54lRYVgTL9o/HxyBhYNna7WGVwuJH6/2NdNIyIiIiI/waBF75oqbUlOS2Nei6MOqMoHaoqA7OVAfSX0bnRaFNZNOKF5xccf+7I5RERERORHGLTonQwD88QrnmR8SwgwYBZgCQMctUD2CqCmBHrvcZkx7xwUh0a5V3z1FVDHZHwiIiIiOjoGLX5V8tirgpgtAsiYAYTGAq4GIGddy5wXHTprQjq+GTLVfae6GvjmG183iYiIiIj8AIMWfwhaVKxiaBGzKGYrkD4FCIkBXA4gZ42uc1ySo0Kwf9ZpzSs4RIyIiIiIOoFBi9/M09L0v5aMJqDfpMahYnVATTH0LP0X56FOgi3x6ad+UwWNiIiIiHyHQYs/9LQ4JPneCITGtL2N6nGZDGRMB6LcZYX1avaUwVg2YLz7Tm4usGaNr5tERERERDrHoEXvpCeiRgNqbEDsoPa3s4a3H9ToSGKkDXtnzm5ewSFiRERERHQUDFr8puRxF9RVADlrAZcTepRw8c/g8gx1++QTXzeHiIiIiHSOQYtfVQ/r5PaH1wNVBUDJPujRySeNxYa04e47W7YA+/TZTiIiIiLSBwYt/jA8LNYAxNmB/C1H316Cm8TGgECCFns19CYu3Ird009tXsEhYkRERETUAQYtflHyuJO9LB6RKUBYAqC5gILt0KOouT9rvsOghYiIiIg6wKDFXyeXPJrkUYDBCFQXAlWF0JsZP5mF/bHuSmfaDz8AhfprIxERERHpQ7eClueffx4DBw5ESEgIpk2bhlWrVnVqv3feeQcGgwEXXHBBd542eIeHeeKVrvS4SDWxmAHu20U7u5fQ34tiwm3YOt1dRczgcqHinfd93SQiIiIiCpSg5d1338Udd9yB++67D+vWrcP48eMxZ84cFBQUdLjf/v37ceedd+KEE044lvYGlxaBRhd7WkRcJmA0A/WVQFU+9Cb04l803TZ88IFP20JEREREARS0PPnkk7j++utx9dVXY9SoUXjxxRcRFhaG1157rd19nE4n5s2bh/vvvx+ZmZnH2uYgHBrW2MvS1dwWmXQyYSiQPBoIT4KeFFTUIWzWdOREJar7YUuXYNvWA2o9EREREZE3M7rAbrdj7dq1uPvuu5vWGY1GzJ49G8uXL293vwceeABJSUm49tpr8YPkLxxFfX29WjwqKirUT5fLpZag4XTKGwyX0QjNYIBLYpiuvv7ojObbOnrv3lpxAM9+sxt3jzge1675GAbNhVd/+wzSb/0VFsweimAkn21N04LrMx6EeJ6DA89zcOB5Dg7Bfp5dOnndXQpaioqKVK9JcnJyi/Vyf8eOHW3us3TpUrz66qvYsGFDp5/nkUceUb0yrRUWFqKuri64gpZJk+AKN6I8tj+0KieM6HgYXo/O+dKLzhoSipn9RmJ7+i9QoB1S625KqYZjSOhRhxoG8h+F8vJy9YdRvgygwMTzHBx4noMDz3NwCPbzXFlZCb8LWrrzIi+//HK8/PLLSEhI6PR+0pMjeTPePS39+/dHYmIioqKiEDTsdmDtWtXTYhg4EokDR3b/l6UiFyjeDcQPBaJS4WuewWqWsGhof7gVyVUlcG3aDOPjjwLR0QjWP4pSqEI+58H4RzFY8DwHB57n4MDzHByC/TyHhITA74IWCTxMJhPy81smdcv9lJSUI7bfu3evSsA/99xzj+hiMpvN2LlzJwYPHnzEfjabTS2tyQclqD4s0iPS+H4ZjvX1N9S6l7IsIKYf9CI9PgKrJp6Ec5Z8AGN9HfDFF8C8eQhW8kcx6D7nQYjnOTjwPAcHnufgEMzn2aiT19ylVlitVkyaNAmLFy9uEYTI/RkzZhyx/YgRI7B582Y1NMyznHfeeTjllFPUbek9oQ54jyE81iFdsQO8KonpZ/hVUlQIRt96TdN9+3/e82l7iIiIiEh/ujw8TIZtXXnllZg8eTKmTp2Kp59+GtXV1aqamLjiiivQr18/lZci3UljxoxpsX9MTIz62Xo9dZCDkmgEImuB0iwg/sieqU4xWYDo/u5jlGQBEfqpJjbo/DkoiYxDXGUJjAsXAlVVQESEr5tFRERERDrR5f6euXPn4oknnsC9996LCRMmqB6ThQsXNiXnZ2dnIzc3tzfaGrxBi5wl6Wg51gkiYwe6D1RbAtS5K7Lpggw5PPVMddNsr3cPESMiIiIiOpZE/Pnz56ulLd99912H+77++uvdecrgHh7WjXkl22QJASJTgMpcoHQ/kDoOepF23WXAx2+r25VvvoPIiy7ydZOIiIiISCf0kVlDbfPuWenO5JLt5bYICVwa7Lp556PPPB2VEe6qYbZFC4GaGl83iYiIiIh0gkGLnrUYDtZD3S2hsUDsIKDfZMBshW6YzSif8xN101pXCyeHiBERERFRIwYt/jQ8rKcmhUwaAYTHQ2+Sr7ms6Xbxq//yaVuIiIiISD8YtPjT8LAeSWzRL8vps1EdHaduxyz+SmYV9XWTiIiIiEgHGLT4Q0+LpJ64TICpB2ckddQBBduBwxugGxYL6i74mbppddSj5h3O2UJEREREDFr8o6el2AXURwCRPTi3iuZyVxCThHy7fpLe4355VdPtfX97GQUVdT5tDxERERH5Hnta9OxY52XpiDUMCEtw3y4/CL0wzJiBypR0dXvkttUo3qefthERERGRbzBo8YfhYcLYC6cqJqM5aPF+Lh8qqKxH2QU/V7dNmgv5r/wftuSUs8eFiIiIKIgxaPGHnpZUIxBaCVQW9OzxwxMBsw1wOoDqHj52N721MhtXO4Y13Y/+73s459mlaj0RERERBScGLXrmCVpMBveZkjyUniS9N1H93LcrcqAH86Zl4On7L0XeoOHq/sTcnfj07BS1noiIiIiCE4MWv5mnxdBz87R4i0pz/6wqBBqkTJlvJUWFYEy/aLguvqRpneHf76j1RERERBScGLT4VSJ+LwQttkggPAmIHSBPCL2wXnZp0+3oD9/r3aIERERERKRrDFr0zDs5vjd6WTzSJwFJI935LTqRMGooHLOOV7f75x/AroU/+LpJREREROQjDFr0zNO7oIaH9XLgokOWyy9run34hVd92hYiIiIi8h0GLXrWYkiUJ3LpxeeqLgYqDkM3fv5zaGazujny289RWlHr6xYRERERkQ8waPGH4WF2DdDMgMl9Ad8rqguBQ6uAgu36yR+JjwfOPlvdTK4qxooX/+3rFhERERGRDzBo0TNP8JDnAhxRQGhM7z1XWAJgsgBOO1BdBL0wXHNN0+3QN9+Ay6WTgIqIiIiI+gyDFn9JxJc5VXqTHD+ysfxxxSHoxtlnQ0tOVjdnbv0RK1bt8HWLiIiIiKiPMWjRs74ephXdONFkVQHgdEAXLBYYrrhC3bS6GnDwby/7ukVERERE1McYtPhD0JJuAmwVQF157z5fSDRgjQA0F1CZ27vP1RVeQ8QmLPoAh0qqfdocIiIiIupbDFr8YXiYRc6Uq2/mfvT0tuipitiIEcDMmerm8KJsfPnaJ3hq0S4UVNT5umVERERE1AcYtPjLPC3yv76YpsWT19JQD7ic0I1rr226GfPOm3hm8W4UVNb7tElERERE1DcYtOhZX87T4mEJAQaeAGSeBBhN0I1f/AKu8HB1c87m7xDiqMOWnHK1sMeFiIiIKLAxaPGH4WGeeMXQF10tAGwR0J3ISGw7/kx1M8peg7N2/ojf/Xczznl2Kd5ame3r1hERERFRL+rF2QqpR3taVMDSR0GLd9AkSfm9OallF/S74ybgqw/U7bmbvkbiTdfhvPFpSIq0+bppRERERNSL2NPiL/O0qJyWPgxaSrKAvd8ApfuhF7GnnwIMH65uTz+4BYdXb8KYftFIigrxddOIiIiIqBcxaPGHnhY1ZYoJMPTh6TJZAJcDqNRRFTEJ2rzKH4/54j/YmVfp0yYRERERUe9j0OIPQUu2E3DFAZbQvnvuiGR3kGSvBuoqoBtXXQVYrermxZu+xj8XbfV1i4iIiIiolzFo8ZfhYX05NMzT0xKe4L5dmQfdSEoC5s5VN2PqqmB459/IK+d8LURERESBjEGLXyXi9zHPnC16GiIm5s9vunnZms/wz6X7fNocIiIiIupdDFr8IWgZYAJMpUCDvW+fPyIJMJgARy1QWwbdmDrVvQAYXbAP297/EhV1KvGHiIiIiAIQgxZ/GB5mMwBG70pifUQml5TARVTmQq+9LRet+Bj/5lwtRERERAGLQYu/DA/r65LHHtH9gfgh7p96ctFFQGKiunnmrh/xyZerYW/wQWBHRERERL2OQYsf9LQ4DUCu1YEdpbuws2Qn9pbtRXZFy1ngHU4HXDIRZE8LjwcShgK2COiKzQb88pfqpsXlxBk/fIKPN+T4ulVERERE1Av0MdU5td/TYgDKQk0oMjthrimAwWRSD1lNVmREZTRturV4K8rqy2Az2RBuCVdLmDkM4dZwRFgiYOzLOV76yg03AI8+CjiduHTjl5j3v6twsKQGl00fwAkniYiIiAIIgxY/CFoajDI0DAg1hyI5MlX1qLQOQhwyESSAeme9WkrqSpoesxqtmNlvZtP9tvY/ao9PdQFQXQgkj/HNMLW2pKcDP/0p8P77SKwuw4gfF+FvZSfjjNEpDFqIiIiIAgiDFn+ZpwUGhFrCMCh6UJubTkmZooaI1TTUoNpRjRpHDaobqlFpr1S9Ld7W5q+F2WhGXEicWqQnxnC0QCRvCyCBUVQ/ICwOukrIf/99dfPqNZ/ik5EnYXNOubqfFGlj8EJEREQUABi0+EEivqFBg1kzwWJyzwTfHovJgmhTNKJt0W32wgjphZGgRpTXlyOrPEv1xCSGJSIpLAlR1qgjAxijEYhMBsoPARWH9RW0nHgiCjOHI3HfTkzM3Ymph7bi7v+627/gtKG4/fRhvm4hERERER2jAEx0CLCgxQUkbarHyPoMjIgb0a3DWIyWptuS8zI9dTqGxQ5DQmgCTAYT7C47cqpysL5gPXaV7mr7IJGp7p9Vea2qmvmYwQDr737bdPfGFe8hIy4Un86fhXnTmnN+iIiIiMh/MWjxl+FhPZhHEmIOQVpEGsYkjMGsfrMwNmEsksOSVQATHxrftF1tQy0OVx1Gg6sBCI0DTBbA6QBqmvNl9CD6qsuAAQPU7VP2rUX4jq0oqXFwaBgRERFRgGDQomfePRq9lPwuCfkSqIyMH6kCGMlx8citylU9Lz8e/hE7y3ajOiRKnxNNWizAnXc23b1hxQd4ctEuaHrqESIiIiKibmPQoveeFhOQP8aGvdbDR8zN0hsBjHdVMalWJmWTpdpYbnUuVtfmYWPlAZSU7tHXEDFxzTVNk02es+MHlG7ajm93Fvi6VURERETUAxi06JkEBkagPsyIGpMddc66Pn361IhUTE2digmJE5AYmghDSBRKXXXYVJ2LtYeX66snIywMWLBA3TRpLvxy1X/Z20JEREQUIBi06FljUKCpkWG+mxslJiQGoxNGY2rqNPQbPAfGlNGIDktqUWVMFwHMTTcBERHq5i82/w/5Ow9g0bZ8X7eKiIiIiI4Rgxa9Dw8zAC4JDgwGn89qL8PFhsaPxIy0GRgQ7U5895ROXpW3CnnVeb4NXmJjgRtuUDdtTgeuXvsxnvrfbrhcOgioiIiIiKjbGLToWasAwODD3pbWJZQt0v3jcA9Xk3LJUmlsR8kOrMlfg6LaIt817vbbAat7PpvL13+BQ/tz8dXWPN+1h4iIiIiOGYMWPyh57JJYpVWSvE+VZQN7FwPFu9Xd4bHDMTh6MMxGs5q4ckvRFjXni/TA9Lm0NODKK9XNyPoaXL3mEzzx1U48+fVOFFT0bU4QEREREfUMnVwFU7s9LQZPTouOWCMAzQVU5qvAymQ0oX9Uf0xLnYaMyAwVXEnA0uFklb3pt78FTCZ18/rVH6L4YC7+9s0eFFTW931biIiIiOiYMWjxg+FhxgYNJhjV5I+6EBoLmKyASyaaLG4xbCwzJlMFL6nhqWo4W4TFnRjfpwYPBq69tqm35YaVH6jbGw+WYUtOOXtciIiIiPwMgxa9Dw+rBzJX1WKUazAyojKgC1IYIDKl3YkmbSYbhscNx+SUySp48SiuLUZhTWHftPGPf0SDxZ3bcuXaz5BUWYw/fLQF5zy7FG+t7N35boiIiIioZzFo8ZdEfK/ywroQ2RiMVBU05d60Fm4JbyqL7HQ51VCxrcVbsblwM+oaejm/JD0d9l/+St0MbajH/OX/QbjVhHd+OR3zpukk+CMiIiKiTmHQomd6DlpkiJjZ1jhErHPVwpLDk1W+S3FdMVbnrcbByoO9WiI57L4/Ns3bcsnGhYgtyMF3OwuRFBXSa89JRERERD2PQYueSQ+GDTgwPhT7jIfU8CrdkCAqov0hYq1Jsn5mdCYmJU9CtC0aTs2JvWV7sa5gHarsVb3TxsREdwlkybdxOXHbsn/jtWVZOFhS0zvPR0RERES9gkGLnkkvhMmA6igTqg31qHfqrPpVdD8gcQSQMKzTu8iQsQmJEzAsdpgqLFBpr8Ta/LWocfRSIPHrX7snnQRw4dZvkZG3H499tbN3nouIiIiIegWDFj1rzBVRJY8NUotLZ0PEQqKBuEGAJbRLu0meS1pEGqamTkViaCISQhMQZgnrnTZGR7tLIMuHXXPhzh/+hU83Hsa67NLeeT4iIiIi6nEMWvxgnhb35JIG/Uwu2UOkytjohNEYGT+yaZ3daUdWeRZcMg9MT5k/H0hxD2U7c9dyzDiwCQ9+tq1X82mIiIiIqOcE1lVwoGm8qNb03htUfgjIWdtuFbGj8Q7GdpfuxoGKA2rIWI/luoSHAw8+2HT3T9+8hI37i/H55qPn4hARERGR7zFo0TMJAgw6Hh7mScgv2uUufVx97HOwSIUxmaSy2lGtAhcJYHqkR+Tqq4FJk9TN4QX7ccmGhXj4i+14/KsdnGySiIiISOcYtPhDT4sqd6zT4WFqosnUTlcROxrJb5mSMkX91KCpoWJSYeyYE/WNRuBvf2u6e9fSN1GdW4jnv92LgkqdFTggIiIiohZ0eBVMrYMWg+pwMTRN1Kg7kY2lj6WnxeU85sNZTVaMSRiDEXEjYDaaVYWxNflrUFZXdmwHnjkTuOwydTO6thJ3LH1T3f5xbxG25JSzx4WIiIhIpxi06H14WJWG8UsqMcY0HPGh8dAlNdFkCOBqAKo7N9FkZ6SEp6helxhbjApkwq3hx37Qv/wF9hB3pbLL1n+JEQVZePiLHTjn2aV4a2X2sR+fiIiIiHocgxY986fqVj04RKx1hbHxiePV3C6S6+LR7eFiaWmw/+Z36qZJc+G+xS+p9/nP54/GvGkZPdVsIiIiIupBDFr8YZ4WAMUuE2rtxz70qteHiElCfg8MEfMmw+JCpCen0eGqw1idt7rbSfoRd98FZGaq2zOyN+O87d/j1aVZiAptDoqIiIiISD8YtOiZXJCHGbB2RgI2NxzGjoJjr87Va0JjAJkgUiacbOjdxPYKe0VTkv7Gwo2od3bx+UJCgKeearp7/+KXUH4wF3//dk/PN5aIiIiIjhmDFr0HLRagNM6MOmMNqu0O6NrAE4CMaYC1l2a3byQJ+rJINbWy+jKszVvb9ST9884Dfv5zdTO2phz3Ln4ZLyzZiz0FPTQ3DBERERH1GAYt/jA8TBUNk5LHOq0e5l1WuI9Ikv7k5MkIt4TD7rKrHpcuDxd79lkgNlbd/Om273D8rlX4w4ebe2ZeGCIiIiLqMQxa9EwuntXkkgb1U/53sKQGVfUN0DUZHmav7vWnCbOE4bik41QAI8PF9pfvR5WjCz0lKSkthok9/NXz2LrjED5Yl9M7DSYiIiKibmHQ4gc9La7GySVLqx3YmVeJ7OJjnGixN5VlA3u/BQp39snTmYwmNVRseOxwZEZnItIa2bUDXHEFcMYZ6mZqZRF+u+R1PPjZNjzyxXbO20JERESkEwxa/KCnxdXYyxJmNavVeRW1cLl0OoRJEvGl3pnM1+Lsux6h1IhU9I/q36Ikck5VJ3pMJCD8xz+AcPccMJev/wLDdq3HP77fh4LK3i0oQERERESdw6BFzxpzK1wGowpeYsNssJqNqgOmos6h36BFqohpTqDaN9XOnC4nthZvxe7S3dhWvA0NMullRwYOBB55pOnu4188jYj6Gny8IQdbcsrZ40JERETkYwxa9EyiE698FknEj26cS6SsRqdBSy9ONNmVIWOS52KAAQU1BViXvw7VjqPk2Nx8M3JGH6duDijLw/2LXsDLP2ThnGeX4q2V2X3TcCIiIiJqE4MWvfe0lLhwzoeHcHrYMIxJjUdMmDtoKa916H+iSelp6cMhYt76R/bHhKQJsJqsqGmoUYFLYU0HPT9GI2xvvwVnhDsn5mdbv8X5W7/F7JFJmDcto+8aTkRERERHYNDiB8PDpKPFZDLCaDQgJtSq1pXpOWgJiWocIuYCqgt81oxoWzSmJE9BjC0GTs09ZGxf+b52SxonjBsB0z9ebLr/4Nd/x87lm7DhYBfngCEiIiKiHsWgxQ+qhymNc7REhpjVdCiOBhdq7U7olo+HiHlYTBaMTxyP9Ih0db+8vlyVR27XpZei9uJL1c1Iey2e+fRx3PPeBhRVMSmfiIiIyK+Clueffx4DBw5ESEgIpk2bhlWrVrW77csvv4wTTjgBsbGxapk9e3aH25MXTYMryoBlM5OxpvYw8itqVG/LxP6xOHFYIkKtJv2+XdH9gOQxQPJYX7cEBoMBQ2KHYFT8KLUYpbBBB0JfehHIzFS3jzu8E/MWvcFJJ4mIiIj8KWh59913cccdd+C+++7DunXrMH78eMyZMwcFBW0PA/ruu+9wySWX4Ntvv8Xy5cvRv39/nHHGGcjJ4QR+R+VywRViQF5qKAqdVahu7FmJDbeqKmK6Zg0HYvoDZvdwNj1ICkuCzWRrup9VnoX86vwjN4yMBP79b8DsLjE9f/l/UPn5V/hwPT+zRERERL7Q5SvfJ598Etdffz2uvvpqjBo1Ci+++CLCwsLw2muvtbn9W2+9hZtuugkTJkzAiBEj8Morr8DlcmHx4sU90f7AprkHMmlqbkkDTI1DxOjYldaV4kDFAWwv2Y49pXuOzHOZOhV44AF106S58Nwnj+Hvry/GA59uZQlkIiIioj7m/iq5k+x2O9auXYu77767aZ3RaFRDvqQXpTNqamrgcDgQFxfX7jb19fVq8aioqFA/JdiRJWhoGpxmE2AwqsDFKBNNulzqAjuruBplNQ0Ykxal314XCQTKs4HKfCBtImByVz7TgyhLFPpH9Ed2ZTYOVh5Epb0So+JGqRyYJnfeCSxbBnz5JWLqq/Dk+w9hruVRnD8+DQkRPd+D5Dm3QfUZD0I8z8GB5zk48DwHh2A/zy6dvO4uBS1FRUVwOp1ITk5usV7u79ixo1PH+O1vf4u0tDQV6LTnkUcewf3333/E+sLCQtTV1SFohIXBMeY4GNKSYDNHoaKkGAUNNeqhg7kVqHe4kK1VI6px7hZdyt8HOOqAhj1AeDz0JBzhSNPScKjyEIq0IiwvXo6MyAyESeUzj6efhlN6ufLzkSQVxQ58gf8uS0TduDQ1Z05MmLVH/yiUl5erP4zyZQAFJp7n4MDzHBx4noNDsJ/nyspK+F3QcqweffRRvPPOOyrPRZL42yM9OZI3493TIrkwiYmJiIqKQtCorETt9nVwxg2Co2EWYhISkBQTrh7Kd9hQUFEPa2Q4kuLc63TJVAkU7wastUCSXPbrSxKSkOZIU+WQaxtqcRAHMSx8GJLDGwPzpCS8ee4vceGtcxHmqMdP167FhkorLpl4Nm45dSgWzHZXJeupP4pSNEA+58H4RzFY8DwHB57n4MDzHByC/TyHdHDNrtugJSEhASaTCfn5LZOX5X5KSuOEgu144oknVNDyv//9D+PGjetwW5vNppbW5IMSVB8WTYNBuiThUkPETIbm1x8ZYkFhpR3Vdpe+35OoVKBkD1BTBLgadJWY7xFpi8SklEnYUbwDxXXF6jPu/Z6eefHpKHH9HRE3Xq3u3/u/l3A4fQjOGntij7/38kcx6D7nQYjnOTjwPAcHnufgEMzn2aiT19ylVlitVkyaNKlFEr0nqX7GjBnt7vfYY4/hz3/+MxYuXIjJkycfW4uDiYwhVGfInYBv9ErEj7C5483qeh3P1SJsEYBNesc0oPIw9MpitGBMwhiMSxynqox5S4oKQcYNV6Hwhlvd27qceOzf9+OVN/4Hl6uDOV+IiIiIqEd0OXSSYVsy98obb7yB7du348Ybb0R1dbWqJiauuOKKFon6f/nLX/DHP/5RVReTuV3y8vLUUlVV1TOvIJBpGkIPOnHBf7NwSvQwJEQ09z6FNwUtDe3O8K6rOVtEhX6DFs+3KHEhzQUi6p31WJu/FhV2dyEI7aGHcGDiTHU7vrYCNz12C179aLXP2ktEREQULLoctMydO1cN9br33ntVGeMNGzaoHhRPcn52djZyc5tnQX/hhRdU1bGf//znSE1NbVrkGHQUMoZSOisaXLCZLWpiSY8wqwxhApwuDbUOnfe2RKa6e4vqyoF6/wlW95XtU1XFNhRsQF51HpLiIjDgm8+B0aPV45mlhzFxwdVYvvWQr5tKREREFNC6lYg/f/58tbRFkuy97d+/v3stI3fJYI9Wc7RIr0C41Ywah1NVEevBIlY9z2wDImTIlQZo+iib1xlDYoegwdWg8lx2lOxQAczgmMEwfv45MH06kJeHyYe24euLL8O2Lz/EV9sLMW9ahhpORkREREQ9Rx+ZNdQ2TUNNohHfzUrHpspc1NgbWjx83IBYnDI8CbHheo5YGsk8Lf0mASH+U/3Nk+cyIGqAup9TlYNNhZtgT08FPvsMWpi7NPIZW5Zg61Xz8czi3SiobJ5fiIiIiIh6BoMWPXO5YI8yIad/GPIdlXA0tOylsJj86PS16inyF9KjNSh6kApeTAYTyurLsCZ/DWrGjYTh3XehNVbU+MXit3Ht6o+wJadcLQUVQTSfEBEREVEv86Or3iCkadDUtb4BMJj89sK/BXsNUNmyZLY/SAhNwKTkSQgzh6keGKvJCpxzDr656Z6mbf74zStYd99fcc6zS/HWymyftpeIiIgokPTp5JLURS4XXAaoRXLwvfLwlQanC9tyK1TZ42mD4lok6utSXQVwYBlgNAPhpwJGE/xJmCUME5MnwulywiyvAcDYh+5GnrUeKU/+Rd1/dOGzOP/4YRg67TQft5aIiIgocLCnxU96WuQ/73lahNlkRHG1XZU9loR83ZN8Fkuoe5LJKv/rbRHSyxJibk60r0ch8n4zFzm/vFHdN0LD1HsXQPvscx+2koiIiCiwMGjRe/Uwg0EFLgYY2xwdFtk4X0tVXcskfd2KapyzpTwH/s7hcuBA5QGU2cux6c65+PHcnzZNPhl75SWoWrjI100kIiIiCggMWnQ/PMwATXJajEf2tHhPMllV7y9BS5r7Z00x4PDvZHXpdTku6TiV5xIaoqHh2VtwYN4F6jFrgwOW889F0Uef46lFu5iYT0RERHQMGLT4xfAwYWizpyXc6g5aWpdD1i1rOBAa656zpcL/e1s8eS7xIfFwGQ3I+vPN2PCL01Qeks1ej6iLfoZ1r7zLUshEREREx4BBi55pGhJ31ePCj/ZgZvwgWNsocRxmcyezSzK+32gaInao5QSafqrFfC5mM8oe/S2+ufBkCctgddTjlQ/+jOL33OWQWQqZiIiIqOsYtOiZywWjE4iscSDUYlNzhrQW3tjTUutogOYvAYAMEZPqW0474KhBIGgxn4s1BCuuvBcLh81Uj9mcDky/8zo8teCvLIVMRERE1A0seaxnnQhCQixGmE0GhFhMsDtdsJn9oIywlDpOnwzYovyu7HFn5nOZmjoVw6M05C/8CMt/cQmmrF8Mm7MBL338KKrOHgJgmK+bSURERORX2NOiZy4XitKt+G5mBnZUFLb7Df/Jw5MwPTPePwIWD8lrCbCAxcNmsiEpKgRjByXC9u6b+NsZM7G7nw0GpwNR110F/P3vvm4iERERkV9h0KJnmobyRAv2DwxHbn0VAlZDPQKVLcKO7F/dgC9POgGbBofCIXHazTcD998fEPk8RERERH2BQYueyUVt4yz3prZKh/m7+kog63sgewUC1ejkDNwz5yyMfugP+PLE07F2WBgqwozAn/6E9T+9AgVlgZHTQ0RERNSbGLTomcsFZ2PQYjC0f6rKaxxYsa8Yaw+Uwq+YQ929LJKMX1OCQCV5LjP6TcX0e3+DT088BxuGhiE3zoKJH78J2xWXAXX+PV8NERERUW9j0KJnmgZXU7DSfk+L0QhU1TWgss4Bv2IyA5Ep7ttl2QhkMp/L8f2nYsaC2/Dv43+GbRmhOJhoQfSnH6L6hJNRmHXI100kIiIi0i0GLboPWjw9Le0HLWGNZY8bnBrqG/xovhYR3d/9syofcPpZ0NWN+Vx2Z8diYewp+Pu0eYiqdP/6ha9ZCfPxxwN79vi6iURERES6xKBFz1wuuBrPkFG6U9phMhoQanVX4qrxp0kmRWgMYIsENJd7sskAd9n0Afj0hgtw6twFuHTuX5AfEafWm8oOAhK4bNvm6yYSERER6Q6DFj3TNGienpYOghYR1hi0VNsb4Hc8vS3lBxHopBTymH7ROGlYCramDMGNNz+LH4YMwrph4dgTUgXXPfcAb7zh62YSERER6Qonl9QzlwvD1pSh39Z6lN2Q3uGmETYziqvsqLH7WU+LiOoHFO0C7NXuhPwwd+9DIEuKtGHBaUMxZ3Qyfh3nwDmLn4Jm3A9rogkxN14PrFqDsL89DVgsvm4qERERkc8xaNEzTYPNrsHSUAe71drhpmE296msqvfDnhZJyE8cAVhCgyJg8fS43H76MHX7zZsuxmWWGBQufRazzA6sGx6OUW/9A2E7twP/+Q+QkODr5hIRERH5FIeH6Zn35INHmaclwmpGuM3cNEzM78T0B8KD8+I8PsKGv116KpbO/A2+GzgdtWYzNg0Ow74dP8IxeTKwcaOvm0hERETkUwxa9MzlQtbQCCybmo6DVWUdbhodZsGMwfEYkRIFvxeEM8V/tikX+wrt2BA3C89M/RXKbeHITraipugQMHOmu8eFiIiIKEgxaNEzTUN+/zDsHhKJgtpqBDyXEyjcCWQtAZx+OMztGMybloGP58/CvGkDsC16Jh6afg/qGlIRXe0EamqAuXOB3/0OaAiu94WIiIhIMGjxk+phHZU8bs3l8tOeCplIszIPcNQCFYFf/rh1jsvotGgMToxQ96dNnYEFcx7F+2NOU/drrAbsfvNp1J58EpCT4+PWEhEREfUtJuLrfZ6WxlSWo5U8FllF1dhfXI2MuLCmi1+/IgFa7ECgYBtQuh+IGXDUXJ5AEx1qwS2nDsWl0zIwvn8M7jTdhm1JmTg759+oCjWgtHgjRk0/DhGv/gs44wxfN5eIiIioTzBo0TNNg8vY2NMivRBHYTIY4HRq/jfBpLfodKB4t7u3RXpdolIRTGLCrFgwO131rF13QqaaNPQ+kxFrczNw3ZYXgJBKrLPVIHPeuUi/4TfAn/4EmPy0+AIRERFRJ3F4mJ65XNDQ+eFhYTaT/5Y99jCa3D0sojQLwa6goh4NLg0bkyfinll/QVbEULgMBuxJt2HLW3+F44zTgNxcXzeTiIiIqFcxaNF9T4v7pqETw6TCre6Os1pHAzR/rsAVk+HOb6krd082GcQkQf+zW47Hr08fhvKQWDww80/4X/9z1K9uUbQZq/PXombqRODrr33dVCIiIqJew6DFT4aHGToxPCzEYoR0yLhcErj48RAxsw2I6ue+XbIPwUwS9Mf0i8YpI5LU/emDE/HmqHl4evxd0CxRsDpcCMnJB+bMARYsAGprfd1kIiIioh7HoEXPXC5M/qEQZ319AINijj7xovTGhDX2tlT7c16LiMsEovsDSaN83RJdSIq0YcFpQ/H03PG4a85wbEydgNun/wX1ljEwNnaquZ79GypnTgbWr/d1c4mIiIh6FIMWPdM0RFU6kFxUg1CrtVO7hDcGLTV2P85rEdYwIGWM+yepHpfbTx+G5OhQ3HzKEDx10Xg0xCZg3k/+iHtn/woOqw37U6xYpx3EvvNPgOuxvwBOPw9ciYiIiBoxaNEzGefVRTFhFiRE2hBqCbCKUv6co9MLsopq3AUXDAb836RzcdblT2F7Un9oBiA73oi1rz2AqjNPAQ4c8HVTiYiIiI4ZgxY901zYOjoOK45LQ2l9Xad26R8Xhgn9Y9Q38wGhvgrIWQfkbvR1S3SZoP/A+aPV/T0JGbjt9CewJ/0smJxAdagJaws3IGv2cXC99iqDPiIiIvJrDFr0THPhwOAI7BgRjdL6egQlzQVU5QOVuUBdha9bo7sE/eMyYtX9P5w9EuGRYXhw9BV4ceLvEWGKVb0uByIcWPv4AlT/5HT2uhAREZHfYtCiZ5oLTs/kkjJ/SRfUOZxwugJgSFVIFBCZ4r4tk05Smwn6509Iw8IFJ2Lm4HgsSx2Lq094HJXxM2Bp0FBrNcC4+BtgzBjghRe6NeyQiIiIyJcYtOiZpkEzdH5ySY81+0uwdHcRSmvsCAjxQ6U2GlBV4J67hY5I0JefKdEhePPaaZh/yhDUhITjlsm34h8jb0f/sgiE2jWgqgq46SbUnHEKsGcP30UiIiLyGwxa9D5PS+OckobGHpfOsJndvTJVdX5eQczDFgFEpbpvF7G3pSNGowEmowHOxk627zOn4bwLn8Hb489U90sjTFhVvB47z5oMx5OPAw0B8hkhIiKigMagRc9cLrhUT4uhU5NLekSEuMseq+pSgSJ+iLu3pboQqC72dWv8Ikn/wQvcSfrVIeH4/Znzce1lDyN3ULpalxvhwqp/PoC8UyYDK1b4uMVEREREHWPQomsaPNkHXRkeFmFzBy2VgdLTIqzhQEyG+3bpfl+3xi+S9Cf0dyfpP3PxRIztF43F/cbh57OfQEHSbITWueAwG7Cjah82XH4aam68Digp8XXTiYiIiNrEoEXPXE64JFjRAFMXeloiQ5onmHQFQjK+d29LwjAgbYKvW+JXSfrTBsXhw5tm4pZThsARGobfTLwWj0z+E2xIhdGloSzChDXL38XBGaOA119neWQiIiLSHQYteuY04KRvczH7m4OICQvt9G4hFhPMJoOaj7HaHkC9LWYrED8Y6GIltWDlnaRvNhlVvoujMdllQ7+RuOz0x7Eo5SKE11nUMERbQTFw9dWwzzoe2LzZ180nIiIiasKgRc80ILmoBun5lbCZ3b0nXe1tCai8Fm8SkdWW+boVfpnr8siFY9X9yPAQ/Gvihbj51Kdgj5iMpDL3Z8W6/EcUnzAJVfOvBwoLfdxqIiIiIgYt+uY9n0Zj6ePOSooMQUZ8GMKsXQt2/EKDHTiwDDi4ErBX+7o1fpfrIvkt4tWrJuP22cNQFpOAX876Na646AFkxabCYQJ2ptuwdum72HniSDie+AsQrJObEhERkS6wp0XXnFg7PhlrxqWgzuns0p7948IwLDkS0aEWBBwZJmayqck3UbDD163x21yX/rFhWDB7KOZNH6DWfz/oOJx5zfN4/MTLYa03QTMAuSF2rPy/B3Fw1hi4Pvwv812IiIjIJxi06JhmcGLbqChsHhWP+gbOYt5C0sjGEsgFQGW+r06R3+e6iBtPGqyGjf3yxEzUm614aepc3DjnOWSHTkd4nQsNJgP2OvOx6g9XIP/ck6GtWePrl0BERERBhkGLjmnSk9B4igxdKHns4XC6UFptR4MzAAMemXAybpD7dsFWwOnwdYv8ftjYeePT1P17fjISsYP7494TF+De6Q+jVhsIq0NDnc2I7TnrUXPCNODnPwd2sJeLiIiI+gaDFh1zQVNDdKTek9HUtZwWsTqrBGsPlKKsNkAv6KUEsiUMaKgHCnf6ujUBM2xMgpcvF5yIP507CsVDRuHGOQ/jn8Nuha06CmlFdtX7gg8+gDZ6NNad/VMUbd3l66YTERFRgGPQomOaywlNhkBpMrlk18v8RjXms5QHatAi70nyGPft8oNADSdH7KlhYyajAaU1DhRU1qsiEIuGzcQV5z+Hf428GoXh7kkra80aqg7/D3kXTEb1HfOBgoKeOKtERERER2DQomeNvSzum13vaYkO9KBFhMcD0elASAxgtvm6NQFZIvnRxhLJ504eiEWn/Bwn/vJlPHbiFchOjFbzuxRFAKu//T9sOWkEqn97O5CX5+umExERUYBh0KJjLrjUt9wSrnSnpyUmrDlo0WRek0CVNArImA5Yw33dkoDMdZFFXHP8ICz9zSk4aeIA/H3GRbjo5y9iQ+RsRFa6A+qikAas/vpVFbz8+PN5KNq228evgIiIiAIFgxadJ+KrUEMzdHWaFiXCZlbDfJxODdX2rpVM9isS0Hm/QUzK75VcF/lpNhnxwPlj8MnNs3DBKaPx9MxrccOZz2FnyAmIqXAHxkVhLrh2fYLoiaOBX/4S2LevZxtEREREQYdBi45Za4049dvDOHl5DszGrkctBoMBUaHmwB8i5j0Zp8zbsm8JYK/xdWsCtkSy/BzXPwYXTe6v7t9z3anYc8fDuOmcF7Al7FTV85JeYIfF7gBefhnasGEou/piYN06H78SIiIi8lcBOF164DA6gQGHy+GyWFDQjaBFRIdaUVrtQFmNHf1iQhHwaksBlwM4vB7ImCHj6nzdooDvgZmRGY/zJ/TDQ2EWPBEai9iai3DNmk9wZemniLLXoDQM2LThC4Rf+ilSBkzEmlmXYtatVyEpJszXL4GIiIj8BIMWPfPkoRzDhXdSlA02sxGx4VYEPHmf0iYAB5YB9RVAwTYgpbG6GPVaD4zH9SdkquBlw8Ey3BMWjcXnXIbjF76Ln+z9HCanA9WhJuwt2ITk/2xA5UdPIvbaW2G56lognLlIRERE1DF+Da1jdWYn1o1NxqZhSd0+RlSIBf3jwlR+S1CwhAKpE5rLIJce8HWLgi5xf0L/GHX/wStPwNyP/oFFL36L7zOvhrkmVk1SabcYcVArwPKX/oCtkwfC+es7ULxuM55atAsFFXW+fhlERESkQwxadKwqxIUN4+KwYVS8r5viX8ITgITGHoCC7UB1ka9bFLSJ+xIw33rueITedDMuv+A5/GPkHahwDUJ4rRMuowE1Wg1MTz6F+EnjMO26X6Du7XcAu93XL4GIiIh0hkGLjrl66CTVNziRU1aL3PJaBI34wUBUmoyxAw5vYEUxHybui8umD8Cnt56Is+66Free9TC+v/Y1VETNRP+85qp2Uw9tQu7f5mPLuP7YP3++qjomPS/sgSEiIqIgGTPkn1yNufeGY5xiRRLxtx+uQLjNjNToIEjG90geCzTUuyefNLnnrCHfkADGO4iZc+mZGHPXXPz1rWWoffU1XLphIcIMhai1GVGLWhQt+z+UfP1P2BNGIidmBgqfuBNJowbw9BEREQUp9rT4Q0/LMQYt8RFWNY1JdX0D6hwBPF9LW4n56VMae1xIb0PHxOXnTsIF/3oSq778EbedcR9csVMQXaWpQL0i3IS62l047/DrcJw7FkuPn40fnnod1VW17IEhIiIKMgxadMwTXhjRvXLHHhaTEdGh7p6Gwsp6BBXvSScddcChNe6fpJs5XyR5f0x6DFYMmICkf/0XE5fuQf3Eq2GujkV4nQsugwFlUcDkVd/ghDuuRm1yGn48/zIse+MjLN9TCJerOarncDIiIqLAxKBFx5ySj9EDw8NEQoT7m+2iqiALWrzlbQaqC4GDKwBHEOX3+FsPTHIyJjzzF8R8sxGlv/03doQcj7RyG0Ic7l+EhJoyDDr4BX69/gGkzp2MN048B4/97kW8/eM+VW75mcW7URBswTkREVGAY9DiBzktpp4IWhqH45TW2OH0+mY6qMicLVISWQKW7OVAXYWvW0Qd9cCkxyDt9BPx6Ek3w/7NduCTT7DrhDmoMZtRGWZCvdWImohaDKr+ASd9cieGXj4N2dddgRP3rcH9763BYwt34Me9Raonhj0wRERE/o2J+DqWXOzAiQcKYA6NPuZjyTwtoVYTau1OlFTbkdgYxAQVCVj6TwcOrQbsVcDBlUDaRHeJZNJ3D0xcBHDuuYg56XTsP5QPw3sfoOjjdzG8cjtKwzSVwA9bPYbUrcCM1T9g0Ecalg0Yj88GT8F9o2YgZtggrN5fiuSoEJw/IU0VpRASzLy1MhvzpmW0KBRARERE+sKgRcdkLosh+8vgSrSgAD0zROxQaY0qgRy0LCFAxnQgZx1QW+LOcUkcBsRl+rpl1EEPjPd9qSK25bprMa92OL64ejxmrfseuR/9G+Xrf0BpiBMxVU6EORw4fc8qnHhgNXbseQ0llhRsSJyIT7In4/60keifGoPJA+PU78Rz3+7BKcMTjwhaGNAQERHpB4MWPdO0I5PJj0FGXBgGxIchxGJCUJPyx1JVLH8LUJEDVOQCMQPd1cbIr3pgElITYLrkUqTLUl2NA2+9j6XP/QsXGjbDUliAomgzSiPNMKAIEysXYdqmrxG+woADEZnYkjgO36dPhDF5MH7+4nIMSghXRQEmD4zFmLRoNLhcKj/m9FHJLQIaBjNERER9j0GLjhWHG5EzIhHh1giE98DxZHgYNZIAJXUcEBoDhCUwYPHzHhglPByhF8/F4UEzUDolHUl7tsH24Qfot/Qr1B7agbIIE+wWA+zRQBT2YWbJPty46m2YHCFY2X8MVqWPxNp+o/F5yhDYzZam7wru/u9mjE+Pxrj0GEzLjEN5jYPBDBERUR9j0KJjufEWrOmXgPjqEEzr4WPX2BsQajHB0EO9OH4rJqPl/cKdgKsBSBjGCSn9PZiZPBkJsuAR7Fi/C//944tYEH0I2raVKKkpQnWoCRG1Tlic1Th9z0oMrl6P0/ItCK0zIDc0A7vihmNj0mhsqB6BzTkxwMpsdViryf0788ePtmBsejRGp0bhuAGxqKpvYDBDRETUSxi0+MPkkj183E2HylBQUY+JGTGIbyyFTADs1UDJPvdbUZkHJI5wT0wZ7IFdAIgbnIEBC25AuCTcR9qQuWcPHIu/Rs3n/4Nz8TeIq61wT2ZpM6LOBoTgIMZVHcTE8kWI3OSEyxyLEuNArEsYgi3Jg7E5ZQjWHwTWHyxreg7Px+SO/2zA8ORIDEuOUBXQHA1tDzMrrKjD26sPsQgAERFRJzBo0f08LQb1X0+ymd3DxA6W1jJo8WYNB9KnunNdHDVA3iagdD+QOJwVxgJtONnQobAMHYr6S6/FW8v344qYGozZtBoVq75H2ebVqCg+hIowE5wmA8oizDA7KzB784+YjR/V7vuTrShKSEJZ7EDsCknD1rAB2JUwEFlx/bArv0otrV32ykr0jwvFwPgwjIs3oNZUjmcW78GE/jGIC7fCbDIeNWeG+TRERBSsGLTomNaD87R4kwungyU1KKqsV5NNeiaeJMmLiAcGngCUZrl7Xeor3CWSQ2KAlLGALYJvU6AFM3NGuO9MOw5x1/8KcXI7Px+li77Fls8WIqNsD4w7trbYLy/OgjpLOcxVGzGqaiPGaBpCd7pgqzfAGZkGLTITayP7YWV4P+yL64eDMckoqwXKchzYmlOOfbEatpfKL7gBV7++GkaDFBcIUb+bYVYTluwqQp3DiYkZsUiJDkFKVAgSIqxq0syuFAdgkENERIGCQYsfTC5p7OGgJcxqRkZ8GLKLa7AjtxLTMy1N3/JSY5J+/GAguj9Qshcoy3YPHTN7BXcuF5P3A1lyMmIvuxgnXHZx8/netQtYuxY1P66Abf2PiC3ahxrNjupQIxpMBpUjUx0KRNbkYNLm3TgOwPUANg8KhQYDXBHxcMal44AlEfsHjEJquQVZ0Wk4GJOiEv/zKurU4vGP7xuHKjaSPwcRIe4/2Xe+t1FVA0yPDcXAhHDU2Z0qmBmVFoUZg+MRaTOrfDUGOUREFCgYtPhBTksPjw5TBidGoLCyXk02uaewCiNSonr+Sfyd2QokjXTP4VJf2TIxP/tHwBwKRKUC4YlM2g+GQHbECLWEzZuHiZ5AZv9+YMsW1G3ZgOKtG1GwcwuSyg+2+OKhJMrc2GtaBpSXIdZoRGRcGabs3oDEUjuGH6yHPTEZh6MSsTIqCgVhCSgMTUJeZDIORyagPDEFOcZwaAYDKusa1HF35FWqpbVf/Wut+mk2ADHhVljN7i8j7vloM/rHhSEtOlT9lONIkCN/B6TEc0yYRRXm6GqQ09Fj7OUhIqKexKDFD4KWnh4epo5pNGBkahTWHSjFoZJaRIVYkBYT2vNPFAikh8W7l0UCGM9SLdN+GoDQWCAi0R3AWCOYvB8sgUxmplpCzjsP/QC1wG4Hdu9WwQy2bsHQPVuRv2cXwiryUNdQg+pQMyT0kN4ZCWoMmgZbQR4GFuQhe3wkUiQdpgow5WkIcWiwOlywGq0ICYmDxRmLTQ0hiBrYH+WJcdjVEI7NDWEoiIhDUVgMSsOiUG+2okEDiqrsTU3dcLBcLa3d+s76pttmo6FpDqeb31qHxEirynlLjgpRQ9X+s+YQnC4Nw1MiERliRmSIBVEhZuSU1apA57QRSS2Dlh4aytadoIgBExFR4OlW0PL888/j8ccfR15eHsaPH49nn30WU6dObXf79957D3/84x+xf/9+DB06FH/5y19w9tlnH0u7g0JmdiWis+sQGZXUK8eX5N+BCWHIKatT37RSJ9kigUEnAuU5QFU+YK8Cakvci5RMjhsMJDYmfcu38VJCWXptKDhYrcDo0WoxYi7SALWoyWKLiuDavRt5+7Ng2rwRh9duhSM+H5acQ2goylclmOstRjWfjBQBqJYlRHpLXEgqzcWgA1lIl0PtApZMiFQ9PlOcGiwNzYvRbEO4KQIxWjRKbBHYZrfCPCgezohY7HeEYI/DhrLQaFTYwlFlC0OVNQyV6mcoqlzub0gOlNSopbXnvt3T7ss+7/llCDEbVY9NmM3UFLjf9d5GJEba1N8bCYKq6x14Z/UhFQhJT4/MHyV5PDI0ToKcockRGNsvWh0nxGrC4cag6Ijgp52gyJcBk/d6yUFq0aYeDMqIiIJRl4OWd999F3fccQdefPFFTJs2DU8//TTmzJmDnTt3IinpyIvrH3/8EZdccgkeeeQRnHPOOXj77bdxwQUXYN26dRgzZkxPvY6AlFRWj6SiYriGxEK+z+8NQ5IikR4b1vQNq6isc6hvUekolcYkMJHFXuPucakqBGpLgZDo5u0kkJFEfhlaZo10J/JbwhqXEMASDpjY4RkU5CI+MRGIj4cxMxOJF1+CZOmtaWSpq8OkQ4dQumMvVixZh0khVTAX5cCefwj2vMMIK5G/Au6cF4fZAKOmwWUwqB4bWWqbOgOdMJQWYeCBQ4gBMNAAfB8SqR4Z3bgYXRrMTlmAuIoGDDlcrx63h4RhQ78ImMPDYbCFo8xgQ0GDGXXmUNQbrXAYQ+DUQmEMD0O1yYYSgwm1ZhvqLSGosYSg1mJT9+vkp8WGBJMFOfurkGUyw2GywGk0tZuz4zH/7ebeH28X/n2ZCmSsZlkMcDb2QN/67/WIDbeoPB55zKVpTcPoHv9qJ1KjQxArAVO4VRUeeXHJPlX4IDMxAhaTETazEYdK3YGRFEKQobIyrE4e21dYpdZPHRSnAiiLUdYbkN8YYHUUSB0RtLQXSHV1fR/0SPlqvV+2acUBnDUkFN5XP7ptK9vU7fdDStR/vD4HF8yIQnJMWIv3nPpOl6+WnnzySVx//fW4+uqr1X0JXj7//HO89tpr+N3vfnfE9s888wzOPPNM3HXXXer+n//8ZyxatAjPPfec2tcvNDQAeXl9/7xOp/tnL88T4h2wyC/spkPliAq1ID7CiphQi0rcD7EYORFle6xhgHUgEDvQ3bPiTYaQCaejuTfGW9pEIDLFfbu6GCjcDThz3cPRTFZ3sCMXekazu4KZBDrqeA2A0+5+zCCL0f054Zwy/iskBBgyBLFDhuCsc+a0vU19vapsZs3NxYl5eXDk5cCRn4vynEM4tPcAkoy1MFRXIKyyBDAXqb9dTiMQUu9SgY703giX0QC7LBYgorb574u5vgY1kfL3oBZwFKl0umR5oHGkWXx5A8Zm1TZt//34CBU4SQBlcrqDIZPLPeQtutqJYYfcwZDYkRGCBqMRToNJLQ0GM5wGMzT5DDvNiK40wW6yqKIEBdEm2M1muAzu7V2yj9EIl8xapZlgcbgDoAajCTVWwGkyqm0b1LZyXBPGyXOtltdiQbXRiEq1PXCRlHvfZMRBgwGaQY5pUIUSzjMY8P22JfhO1kvhBIMsRswxAK//dkXTfYmVZL8TDAY8cdcGGE1GGIwmGKQNmgGTHU48ef9uFeQkJ4WjtMyhAql6p4Zx5XV44fFDCA8xQ06FwWhEjd2J0YXV+Oez+YgMtcJkMKhf40p7A0blV+Ctf5QiPsKCEKsZETYzSmsdWLg1H+atKUiICoXRYFDDfYuq7fh8XQ4i9qUjOTrMfXyDBD92fLbiABJyBqkhwEajQe0jz51bXouPluxD/5Ih6B8bBkPjY9L7/t9FuzC4ejgGxIe7tzcYcLC0Bu9/vgMj7aUYlBDWuB44UFyD9z/eigmuctQmerYHsoqq8f5/N2OqoQJaUmTTn6esoiq8/99NON5SBUtShDq2+vMFAw4VymPrcXJIDcKTI1WAKevzCyrx/n/X4fTwWsQkR6nt5XmK8yrw/n/X4uyoeiR55WaWqvVrjnn90fb54KM1OGHuSPnwN/39lfXvfbgGZ0fbj9j+vQ9X99r6vniOXmlTjOOI9f/pxfXdOlZuOZau2IGT4m1ITvX6YrKvWCxASuO1QhAzaJqMWegcu92OsLAwvP/++6q3xOPKK69EWVkZPv744yP2ycjIUD0zt912W9O6++67Dx999BE2btzY5vPU19erxaO8vFwd58CBA4iK8kHC+OHDwJgxWDY1HeUx7Q/zOfvr5m8OVxyXhpKE9rv0z1iUBXPjW796QioKk47MJ6mOMGPIrnL0M8UB736IhIQEGL2+me0NWcVVyC6uVSNZWpOnnjwgVgUx4lBpDfLLm8+T/MPTfAcYmRKphn4I+ccxz2vb1mQivnCb+7gF5XXIKW+uotTa4KRwlYMjiirqcLCs/W0zE8IR3Tj0rbiyHtmlzRdcrQ2KD1PJy6Ks2o6s4iOHx3gMiAtFXGOp6PIaO/YVtb9t/2gLEmwNQH0NqmoqkJNXCKOrHsaGelTHj4HT6v5MWyoPIrzqEAbEmdU/xrUOJ3KlTm4j2bYhJMG9bU0e+tVnqW+YRX2DCzmlnjYYURM3Eo7QRHXPXFuEVPt+d2lrgxF2l0tVjvOojRqMhlD3cU31pUitP4DExm+YGlyausBwM6A+ckDTcU32CiTV70dKlPuz69Q09c20R314PzjC1CUvjA1VSKzJapE3tTu/wmvbVDjCUhu3rUFC9R70i23+Nmt3QaV7eJX8HQpNhj1CZY/A4KxHQuVOpMc1b7u3oFJdJLq3TYQ9on/jtnbEVmxXF2EeWYWV6jUKR0gc6iMHuh9wORFbthkDE5pLXO8vqoLD6Q5KHbYY1Edluh/QNMSUbMCgRHdvhjhQXA17g/tLhwZrDOqiG7cFEFm0HlEhViREWtV5PlhSrYZKqW0tkaiLGdq0bUTxJgxNbH5tco5r7O5eBKc5DLWxI5qrAhZvxvDE5vf3cGkNqiuqgZoaOOsaUOtMgFZZAVdFGbTSnbDk7ke/UA2h9fWoqjOh0qHBUVuDA4Y6NFQaodXXwWnQYIlpQFpNobxQxNQ6EVEbhvKQSHXxvqG/EfWVzd99WcOcSK4rUn/bYqsbkFQegrJQ9+d7Q7oRdVXN21pk2/piWFwuRNU60a/EipIw98XAlnQDqqqae3stoU4kOUpgdToRXufEwCIzisJj1WPb0gyoqGne1hziRFJDKWzOBoTZXcjMN6Ewwr3tjlQDymq9t3UhsaEEIc4G2BwuDM0zojBCFb3G7mQDSuot8rLVYglxIcFVhnB7PcwuDcNyDciPjHd/jhIMKJEI0NnchnhUwJo6BCH7t2LYYSfyoty/N9nxUNu6nO6/lyabCwkoR6Td/bs+4rATh6PdvzeHYoGiBgu0BvdsXUabC/GGckTVu7cdmifHdW97OBooclngcriPq7Y1ViKqvloFkUPzG5ArhUOkZHcUUKCZ4XIYYdDk+xEXYs2ViKlz//5m5jcgv3HbgkigAGY47e5/e4wWDXGWCsTWNm5bYEdelPv3sSgcyDOZ4axv3NasIcZWhfga9+/6oEI78iPd25aEAblmMxq8to0OqUZCtTv3KrOwHnmRMhgSKAsFcqwmNNS5/z0xmjREh8rfCffkrgOL61EQ1k8FDRUhwKEQExy17m0NRg3R4bVIrCpV9weU2FEcmqoC0EobcDDMBEdN47YGDZERdUiucn+51L/UjnJbMhqMZlRagYPhzdvKGxcZUY/k6lLUDxyNwRs3oMqcAIfRjGoLcCDSCEe15/OuITzKjrTKInUvtcKBWmMC7GYras3A/mgj7F6/G+5t5XcOSKl0wI541XtZbwKyYoywe/3OhUbbkd64bUJVAzRXDGqsoXCYgH2xRtRXNG9ri25ARmW+uh1f3QCDMxrV1jAVzO+Na7VtVAPSqwogYXpsTcP/t3dvIVU9ewDHf/3VrWUdK0vrX2YXAiu7aoYF+WAUYUEQXaCL1GsXixLKsh66UEE9ZHYxoh5KrJfoAvVi0t3uRVFZneIoPpSVR8tOau51+I1p247Bkbau1drfD2xwLZc4rFkze83Mb2YkpP4f8ik03My1fdnrf6/tV1MhQVZjWe5SG27qCPWi91/ytcrn2m6N9Umw5ZVutQ3S9UuX5jriVe+/5IvPtR699j9aR3yT8DqvdP8c1lxH/LN3J6mp+lGWPV2/Sd/aD+LRcl/vlchqT3MdoeXzk0lvY9kICf8mfeo+fC/3lkRXhTTXEf/qJVL1Sct9px/11De9tkEaYobL4IfPpaJLj+ayXFUTItb3pV6DOzdItLdSutTXSpDXkpgPQc11RFkPkX9/DRGr4ce1va1K6VpXa8rgwAppriO03Ff6XDui/L3E6e9uNO4TZofq6mqJjY017/oRETY02ppYbVBeXm6q7xs3brQ4n5mZaSUlJbX6NyEhIVZ+fn6Lc7m5uVZUVNQv/8/mzZu/f03w4R7wDPAM8AzwDPAM8AzwDPAM8AyIzfegrKzMspMjg+nXr19vRmeaeL1e+fjxo0RGRgZkiJK2cGNiYqSsrMyekSZ0CPI5MJDPgYF8Dgzkc2AI9Hy2dK7gp0/y999mWRnbtKnRouFJQUFB8vZt4/BiEz3u84tYOz3flutVaGio+fjq3l2nlAY2LSiBWFgCDfkcGMjnwEA+BwbyOTAEcj5H2BkW9l2bJkh4PB5JSEiQwsLCFqMgepycnNzq3+h53+uVTsT/1fUAAAAA4KvN4WEatqUT7xMTE83eLLrkcU1NTfNqYosXL5Z+/fqZJY5VRkaGpKSkyO7duyUtLU0KCgrk7t27kpeX19Z/DQAAACAAtbnRMm/ePKmoqJBNmzaZzSXHjBkjFy9elOjoxhVMSktLW6xwNXHiRLM3y8aNGyUrK8tsLqkrh7FHy/9PQ+V0xbWfQ+bgLuRzYCCfAwP5HBjI58BAPv+BSx4DAAAAQEdr300/AAAAAOA30WgBAAAA4Gg0WgAAAAA4Go0WAAAAAI5Go8XhcnNzZeDAgRIWFiYTJkyQ27dv250k+JEuDT5+/Hjp1q2bREVFyaxZs6SkpIR77HI7duyQTp06yapVq+xOCvysvLxcFi5cKJGRkdK5c2cZOXKkWeYf7tHQ0CDZ2dkyaNAgk8dDhgyRLVu2mF3D8We7cuWKzJw50+z8rnW0rnbrS/NYV8/t27evyfspU6bIy5cvbUtvoKHR4mAnT540++Locsf379+X0aNHy7Rp0+Tdu3d2Jw1+cvnyZVm2bJkUFxebTVfr6+tl6tSpZu8juNOdO3fk0KFDMmrUKLuTAj+rrKyUSZMmSUhIiFy4cEGePn1q9ijr0aMH99pFdu7cKQcOHJB9+/bJs2fPzPGuXbskJyfH7qThN+l3r75raYdxazSf9+7dKwcPHpRbt25JeHi4eS/7+vUr974DsOSxg+nIivbCa8WovF6vxMTEyIoVK2TdunV2Jw/tQPdA0hEXbcxMnjyZe+wynz9/lnHjxsn+/ftl69atZp8r3aAX7qD18vXr1+Xq1at2JwXtaMaMGWZvuiNHjjSfmz17tul5P378OPfeJXSk5fTp0yYCommURUdg1qxZI2vXrjXnqqqqzLNw7NgxmT9/vs0pdj9GWhyqrq5O7t27Z4Yem+imnXp88+ZNW9OG9qMVoOrZsye32YV0VC0tLa1FuYZ7nD17VhITE2XOnDmm82Hs2LFy+PBhu5MFP9NNswsLC+XFixfm+NGjR3Lt2jWZPn0699rF3rx5YzZV962/IyIiTAcz72UdI7iD/g/a6P379yZuVlvwvvT4+fPn3E8X0pE0neOg4SXx8fF2Jwd+VlBQYMI8NTwM7vT69WsTNqRhvVlZWSavV65cKR6PR9LT0+1OHvw4olZdXS1xcXESFBRkvqu3bdsmCxYs4B67mDZYVGvvZU2/Q/ui0QI4qBf+yZMnpscO7lJWViYZGRlm3pIuqgH3djzoSMv27dvNsY60aJnW+HcaLe5x6tQpOXHihOTn58uIESPk4cOHpsNJQ4fIZ6D9EB7mUL169TI9OG/fvm1xXo/79OljW7rQPpYvXy7nz5+XoqIi6d+/P7fZZTTUUxfQ0PkswcHB5qPzlnRCp/6sPbX48+mKQsOHD29xbtiwYVJaWmpbmuB/mZmZZrRF5zDo6nCLFi2S1atXm9Ug4V5N7168l9mHRotDaThBQkKCiZv17cXT4+TkZFvTBv/RiX3aYNHJfpcuXTJLaMJ9UlNT5fHjx6ZHtumjPfIaTqI/awcF/nwa2vnzkuU67yE2Nta2NMH/vnz5YuaY+tIyrN/RcC/9ftaGi+97mYYJ6ipivJd1DMLDHEzjonWoWV9ukpKSzCpDuhzfkiVL7E4a/BgSpiEGZ86cMXu1NMXF6uQ+XYkG7qB5+/M8JV0qU/fyYP6Se2hvu07S1vCwuXPnmn218vLyzAfuoft46ByWAQMGmPCwBw8eyJ49e2Tp0qV2Jw1+WOHx1atXLSbfa8eSLo6j+a1hgLry49ChQ00jRvfr0bDAphXG0M4sOFpOTo41YMAAy+PxWElJSVZxcbHdSYIfaRFs7XP06FHus8ulpKRYGRkZdicDfnbu3DkrPj7eCg0NteLi4qy8vDzusctUV1ebsqvfzWFhYdbgwYOtDRs2WLW1tXYnDb+pqKio1e/k9PR083uv12tlZ2db0dHRpoynpqZaJSUl3PcOwj4tAAAAAByNOS0AAAAAHI1GCwAAAABHo9ECAAAAwNFotAAAAABwNBotAAAAAByNRgsAAAAAR6PRAgAAAMDRaLQAAAAAcDQaLQAAAAAcjUYLAAAAAEej0QIAAADA0Wi0AAAAABAn+y9/GAKAsexfvQAAAABJRU5ErkJggg==", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "F = mn.FitFunctionMoG(data=(xs, ys), ngauss=3)\n", "F.fit_data(advance=10, tol=1e-8, options=dict(maxiter=2000))\n", "fig = F.plot_fit(dargs=dict())" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "With a quality:" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "execution": { "iopub.execute_input": "2026-02-15T18:16:32.097220Z", "iopub.status.busy": "2026-02-15T18:16:32.097136Z", "iopub.status.idle": "2026-02-15T18:16:32.107515Z", "shell.execute_reply": "2026-02-15T18:16:32.107254Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Quality of fit (after fit_data):\n", " R\u00b2 = 0.999393 (1 = perfect, 0 = no better than mean)\n" ] } ], "source": [ "R2 = F.quality_of_fit()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's try a trigonometric function:" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "execution": { "iopub.execute_input": "2026-02-15T18:16:32.108737Z", "iopub.status.busy": "2026-02-15T18:16:32.108679Z", "iopub.status.idle": "2026-02-15T18:16:32.152061Z", "shell.execute_reply": "2026-02-15T18:16:32.151431Z" } }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "xs = np.linspace(0, 2*np.pi, 100)\n", "ys = np.sin(xs)**2\n", "\n", "plt.plot(xs, ys)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The natural choice will be 2 gaussians:" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "execution": { "iopub.execute_input": "2026-02-15T18:16:32.153554Z", "iopub.status.busy": "2026-02-15T18:16:32.153449Z", "iopub.status.idle": "2026-02-15T18:16:32.244604Z", "shell.execute_reply": "2026-02-15T18:16:32.243909Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Loading a FitFunctionMoG object.\n", "Number of gaussians: 2\n", "Number of variables: 1\n", "Number of dimensions: 2\n", "Number of grid points: 100\n", "Domain: [[0.0, 6.283185307179586]]\n", "Iterations:\n", " Iter 0: loss = 18.6377\n", " Iter 12: loss = 0.128094\n", "FitFunctionMoG.fit_data executed in 0.02689194679260254 seconds\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "Quality of fit (after fit_data):\n", " R\u00b2 = 0.989857 (1 = perfect, 0 = no better than mean)\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "F = mn.FitFunctionMoG(data=(xs, ys), ngauss=2)\n", "F.fit_data(advance=100, tol=1e-8, options=dict(maxiter=2000))\n", "fig = F.plot_fit()\n", "R2 = F.quality_of_fit()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "But the fit is not perfect due to the nature of the trigonometric function. We can force the fit using many gaussians:" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "execution": { "iopub.execute_input": "2026-02-15T18:16:32.245856Z", "iopub.status.busy": "2026-02-15T18:16:32.245782Z", "iopub.status.idle": "2026-02-15T18:16:44.076418Z", "shell.execute_reply": "2026-02-15T18:16:44.075697Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Loading a FitFunctionMoG object.\n", "Number of gaussians: 10\n", "Number of variables: 1\n", "Number of dimensions: 10\n", "Number of grid points: 100\n", "Domain: [[0.0, 6.283185307179586]]\n", "Iterations:\n", " Iter 0: loss = 5.20621\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ " Iter 100: loss = 0.00181871\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ " Iter 200: loss = 0.00109109\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ " Iter 300: loss = 0.00105513\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ " Iter 400: loss = 0.00100811\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ " Iter 449: loss = 0.000972371\n", "FitFunctionMoG.fit_data executed in 11.667044878005981 seconds\n", "Quality of fit (after fit_data):\n", " R\u00b2 = 0.999923 (1 = perfect, 0 = no better than mean)\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "F = mn.FitFunctionMoG(data=(xs, ys), ngauss=10)\n", "F.fit_data(advance=100, tol=1e-8, options=dict(maxiter=2000))\n", "fig = F.plot_fit()\n", "R2 = F.quality_of_fit()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## A realistic function" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's work with a real case. This data comes from the research in the Wow! signal:" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "execution": { "iopub.execute_input": "2026-02-15T18:16:44.088805Z", "iopub.status.busy": "2026-02-15T18:16:44.088477Z", "iopub.status.idle": "2026-02-15T18:16:44.121436Z", "shell.execute_reply": "2026-02-15T18:16:44.120904Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Overwriting gallery/DSR-schema-TR_148.dat\n" ] } ], "source": [ "%%file gallery/DSR-schema-TR_148.dat\n", "tau,ISR\n", "0.6097656250000227, 0.005664062500000178\n", "85.88125000000002, 0.005395507812500533\n", "157.19921875000006, 0.005170898437500515\n", "203.70742187499997, 0.010693359375000266\n", "225.40234375, 0.027631835937500515\n", "239.32421875000006, 0.0786083984374999\n", "247.01640625, 0.1749560546875002\n", "254.69453125, 0.29397949218750075\n", "259.24023437499994, 0.46403320312500007\n", "265.30820312500003, 0.6794335937500002\n", "272.8175781250001, 1.0705664062500004\n", "278.7765625, 1.4617041015625\n", "283.1746093750001, 1.8698535156250002\n", "287.583203125, 2.26099609375\n", "290.592578125, 2.4083789062500003\n", "292.0867187500001, 2.4990771484375003\n", "295.1453125, 2.5670947265625004\n", "298.2250000000001, 2.6010986328125\n", "301.346875, 2.5670751953125004\n", "302.93945312500006, 2.4990429687500004\n", "306.0894531249999, 2.4196679687500002\n", "309.2816406250001, 2.272265625\n", "315.72578125, 1.8810888671875003\n", "320.63359375, 1.4672412109375004\n", "323.9734374999999, 1.0817431640625002\n", "333.52187499999997, 0.6848876953125003\n", "336.75624999999997, 0.46945800781250036\n", "343.059765625, 0.3050390625000001\n", "347.7777343750001, 0.19731445312500018\n", "352.4781249999999, 0.11793457031250032\n", "360.26875, 0.05555175781250021\n", "369.59570312499994, 0.01583984375000025\n", "378.9085937500001, -0.0011962890624999112\n", "392.8410156249999, 0.03277343749999995\n", "403.655078125, 0.0950976562500001\n", "412.90820312500006, 0.1744335937499999\n", "422.14375, 0.2821142578125002\n", "429.8289062500001, 0.3897998046875002\n", "437.49999999999994, 0.5201611328125004\n", "445.16406250000006, 0.6618603515625003\n", "449.744921875, 0.7752246093750004\n", "457.440625, 0.8659033203125004\n", "462.06015625000003, 0.9169091796875004\n", "468.2511718750001, 0.9338964843750004\n", "474.47031250000015, 0.9055322265625003\n", "479.14609375000003, 0.8658349609375007\n", "486.94726562499994, 0.7864453125000006\n", "494.77304687500003, 0.6673730468750003\n", "502.61640625, 0.5199560546875004\n", "510.45273437500003, 0.38387695312500014\n", "521.38984375, 0.24778808593750012\n", "536.974609375, 0.11735351562500052\n", "554.078125, 0.03793457031250025\n", "572.7074218750001, -0.0018066406249999112\n", "592.8625000000002, -0.0018701171874999645\n", "613.0035156250001, 0.02074218750000023\n", "634.6878906250001, 0.054687500000000444\n", "651.717578125, 0.09431640624999993\n", "671.833984375, 0.1566113281249999\n", "690.4000000000001, 0.21891113281249996\n", "705.8828125, 0.2528759765625006\n", "721.3832031249999, 0.25849609375000027\n", "735.3437500000002, 0.24711425781250007\n", "747.7609375, 0.2243994140625003\n", "761.7390625, 0.18467285156250002\n", "780.3753906250001, 0.13359375000000018\n", "799.0082031250001, 0.08818359375000062\n", "819.1878906250001, 0.04843749999999991\n", "842.4613281249999, 0.020019531250000444\n", "870.3789062500002, 0.0029248046875003375\n", "906.0414062499999, -0.0028564453124997335\n", "960.3050781249999, -0.003027343749999911\n", "1026.9683593750003, 0.002431640625000675\n", "1079.674609375, 0.013603515625000284\n", "1174.24140625, 0.02464355468750057" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Read and interpolate the data:" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "execution": { "iopub.execute_input": "2026-02-15T18:16:44.123435Z", "iopub.status.busy": "2026-02-15T18:16:44.123339Z", "iopub.status.idle": "2026-02-15T18:16:44.216655Z", "shell.execute_reply": "2026-02-15T18:16:44.216238Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "362\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "kind = 'linear'\n", "DSR148 = pd.read_csv('gallery/DSR-schema-TR_148.dat', sep=',', comment='#')\n", "ISR148fun = interp1d(DSR148.tau, DSR148.ISR, kind=kind)\n", "\n", "taus148 = np.linspace(DSR148.tau.iloc[0], DSR148.tau.iloc[-1],1000)\n", "ISRs148 = ISR148fun(taus148)*1e-4\n", "cond = (taus148<150) | (taus148>900)\n", "print(np.sum(cond))\n", "ISRs148[cond] = 0\n", "\n", "plt.plot(taus148,ISRs148)\n", "plt.xlabel(r'$\\tau/T_R$')\n", "plt.ylabel(r'Intensity')\n", "#plt.xlim(200,1000)\n", "plt.margins(0)\n", "plt.grid()\n", "plt.savefig(f\"gallery/{figprefix}_realistic_function.png\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The goal is to fit the curves with gaussians." ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "execution": { "iopub.execute_input": "2026-02-15T18:16:44.218072Z", "iopub.status.busy": "2026-02-15T18:16:44.217991Z", "iopub.status.idle": "2026-02-15T18:16:44.227917Z", "shell.execute_reply": "2026-02-15T18:16:44.227328Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Loading a FitFunctionMoG object.\n", "Number of gaussians: 3\n", "Number of variables: 1\n", "Number of dimensions: 3\n", "Number of grid points: 1000\n", "Domain: [[0.6097656250000227, 1174.24140625]]\n" ] } ], "source": [ "F = mn.FitFunctionMoG(data=(taus148, ISRs148), ngauss=3)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's try a blind fit, namely, a fit that doew not take into account the data structure:" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "execution": { "iopub.execute_input": "2026-02-15T18:16:44.229637Z", "iopub.status.busy": "2026-02-15T18:16:44.229543Z", "iopub.status.idle": "2026-02-15T18:16:44.617392Z", "shell.execute_reply": "2026-02-15T18:16:44.616687Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Iterations:\n", " Iter 0: loss = 22.2714\n", " Iter 10: loss = 21.1054\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ " Iter 20: loss = 3.30653\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ " Iter 30: loss = 2.24439\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ " Iter 40: loss = 2.2335\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ " Iter 50: loss = 0.81642\n", " Iter 59: loss = 0.807561\n", "FitFunctionMoG.fit_data executed in 0.29700183868408203 seconds\n", "Quality of fit (after fit_data):\n", " R\u00b2 = 0.9738 (1 = perfect, 0 = no better than mean)\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "F.fit_data(advance=10)\n", "fig = F.plot_fit()\n", "R2 = F.quality_of_fit()\n", "plt.savefig(f\"gallery/{figprefix}_realistic_function_blind_fit.png\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "It's curious that it does not detect the third peak." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's try with a larger number of gaussians:" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "execution": { "iopub.execute_input": "2026-02-15T18:16:44.623527Z", "iopub.status.busy": "2026-02-15T18:16:44.623402Z", "iopub.status.idle": "2026-02-15T18:16:58.851695Z", "shell.execute_reply": "2026-02-15T18:16:58.844903Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Loading a FitFunctionMoG object.\n", "Number of gaussians: 10\n", "Number of variables: 1\n", "Number of dimensions: 10\n", "Number of grid points: 1000\n", "Domain: [[0.6097656250000227, 1174.24140625]]\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "Iterations:\n", " Iter 0: loss = 6.39592\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ " Iter 50: loss = 0.0630943\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ " Iter 100: loss = 0.0344475\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ " Iter 150: loss = 0.0337737\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ " Iter 200: loss = 0.0335375\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ " Iter 250: loss = 0.0335211\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ " Iter 275: loss = 0.0335186\n", "FitFunctionMoG.fit_data executed in 13.674108982086182 seconds\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "Quality of fit (after fit_data):\n", " R\u00b2 = 0.998913 (1 = perfect, 0 = no better than mean)\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "F = mn.FitFunctionMoG(data=(taus148, ISRs148), ngauss=10)\n", "F.fit_data(\n", " advance=50,\n", " tol=1e-8,\n", " options=dict(maxiter=2000),\n", ")\n", "fig = F.plot_fit()\n", "R2 = F.quality_of_fit()\n", "plt.savefig(f\"gallery/{figprefix}_realistic_function_blind_fit_Ngaussians.png\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here you may verify that the when $M\\rightarrow \\infty$ the function can be better described by a NMD." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Multimodal Mode" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "When data exhibits a multimodal distribution, it can be challenging to fit a single Gaussian to the data. In such cases, using a multivariate Gaussian (MoG) can be a more appropriate approach. The MoG allows for the modeling of multiple peaks in the data, each with its own mean, standard deviation, and correlation structure." ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "execution": { "iopub.execute_input": "2026-02-15T18:16:58.886611Z", "iopub.status.busy": "2026-02-15T18:16:58.885625Z", "iopub.status.idle": "2026-02-15T18:16:59.552220Z", "shell.execute_reply": "2026-02-15T18:16:59.550569Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Loading a FitFunctionMoG object.\n", "Number of gaussians: 5\n", "Number of variables: 1\n", "Number of dimensions: 5\n", "Number of grid points: 1000\n", "Domain: [[0.6097656250000227, 1174.24140625]]\n", "Iterations:\n", " Iter 0: loss = 0.500873\n", " Iter 10: loss = 0.115553\n", " Iter 18: loss = 0.113307\n", "FitFunctionMoG.fit_data executed in 0.1442887783050537 seconds\n", "Quality of fit (after fit_data):\n", " R\u00b2 = 0.996324 (1 = perfect, 0 = no better than mean)\n" ] }, { "data": { 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Since you will use the multimodal mode, the ngauss parameter can be changed.\n", "F = mn.FitFunctionMoG(data=(taus148, ISRs148), ngauss=5)\n", "\n", "F.fit_data(\n", " advance=10,\n", " mode='multimodal'\n", ")\n", "\n", "fig = F.plot_fit()\n", "R2 = F.quality_of_fit()\n", "plt.savefig(f\"gallery/{figprefix}_realistic_function_multimodal_3gaussian.png\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "These are the properties of the involved gaussians:" ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "execution": { "iopub.execute_input": "2026-02-15T18:16:59.562763Z", "iopub.status.busy": "2026-02-15T18:16:59.562529Z", "iopub.status.idle": "2026-02-15T18:16:59.864311Z", "shell.execute_reply": "2026-02-15T18:16:59.863839Z" } }, "outputs": [ { "data": { "text/html": [ "
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wmu_1sigma_1
component
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20.240521468.182732986.130627
30.109670720.7661182607.653537
\n", "
" ], "text/plain": [ " w mu_1 sigma_1\n", "component \n", "1 0.441076 297.835797 426.029887\n", "2 0.240521 468.182732 986.130627\n", "3 0.109670 720.766118 2607.653537" ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" } ], "source": [ "F.mog.tabulate()" ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "execution": { "iopub.execute_input": "2026-02-15T18:16:59.879983Z", "iopub.status.busy": "2026-02-15T18:16:59.879864Z", "iopub.status.idle": "2026-02-15T18:16:59.909206Z", "shell.execute_reply": "2026-02-15T18:16:59.908789Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "import numpy as np\n", "from multimin import Util\n", "\n", "def mog(X):\n", "\n", " a = 0.609766\n", " b = 1174.241406\n", "\n", " mu1_1 = 297.835797\n", " sigma1_1 = 426.029887\n", " n1 = Util.tnmd(X, mu1_1, sigma1_1, a, b)\n", "\n", " mu2_1 = 468.182732\n", " sigma2_1 = 986.130627\n", " n2 = Util.tnmd(X, mu2_1, sigma2_1, a, b)\n", "\n", " mu3_1 = 720.766118\n", " sigma3_1 = 2607.653537\n", " n3 = Util.tnmd(X, mu3_1, sigma3_1, a, b)\n", "\n", " w1 = 0.441076\n", " w2 = 0.240521\n", " w3 = 0.10967\n", "\n", " return (\n", " w1*n1\n", " + w2*n2\n", " + w3*n3\n", " )\n" ] } ], "source": [ "function, mog = F.mog.get_function()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Noisy data" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's add some noise to the data:" ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "execution": { "iopub.execute_input": "2026-02-15T18:16:59.914725Z", "iopub.status.busy": "2026-02-15T18:16:59.914635Z", "iopub.status.idle": "2026-02-15T18:17:00.006293Z", "shell.execute_reply": "2026-02-15T18:17:00.005885Z" } }, "outputs": [ { "data": { "image/png": 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bjbZXPnvbRl1AnpubK2bIqR936dKldNddd9Hbb78tCrytPBcto0aNEsN5ysehQ4d0t4XIUqt8ivv/MdFRhtsiswQAECHBUnx8PLVu3ZoWLlzovi0/P1983b59e82f4dvl7RnPaFO2r1OnjghW5G14qItrkZRt+PP58+dFvZRi0aJF4rG5tkluH9CjRw/65z//6TFTzuxz0ZKQkCDaFcgfAHKjyUc71fW6Q+RgiVtlAABAmNYsMW4bMGDAAFFs3bZtW5o4cSJlZGSIYS/G2Zxq1aqJ4Ss2bNgw6tSpE7355psikJk5cyatXbuWpk6dKr4fFRVFw4cPp1dffZXq1asngqfRo0dT1apVxbR+1rBhQ+rWrRsNHjxYtBfIycmhoUOHUp8+fcR2ytDbnXfeKR6vd+/e7jokDvCUIm9vzwXAiqzCeqVm1dK8bqsMw+XluygzJ5+SpCE8AACwOV+m37377ruumjVruuLj40UrgZUrV7q/16lTJ9eAAQM8tv/yyy9d1157rdi+cePGru+//97j+9w+YPTo0a5KlSqJlgGdO3d27dq1y2ObM2fOuPr27esqVaqUKzU1VbQEuHjxovv7/Jj866g/+PlYeS7eoHUAKP703q+iHcDP24973Sn8Gq/zfEGbgRMXrmAnAgCEmD/n7yj+p6QDNifhIUIu9Ob6JQzJRbZuE5fRzuMXadqgdtSxXgWv2zd76UdKz8yln0d0omsqlgrJcwQAAP/P32E5Gw4glMNwCXHm3kZY8gQAwJkQLAH4KKtwqZMEL20D1EXel7KwmC4AgJMgWALwN7MUa65YW+nFlJNX8HMAAOAMCJYA/A6WzL2N4gq7fGfnokwQAMBJECwB+CgrN89SzVJsYePK3HxklgAAnATBEoAPuF9STl5BhijR5DCcklnCMBwAgLMgWALwgbKArpXMUlxMQWZJCbIAAMAZECwB+CCzcCYciy/MGHkTW7hdLoIlAABHQbAE4EdxN9chKUGQN0pQhWE4AABnQbAE4E9xt8mZcCzWPQyHAm8AACdBsATgV/du8wvixkYrmSXULAEAOAmCJQAfZOUUBEuJFjJL8bGFrQOQWQIAcBQESwB+9VjyJbOEYTgAACdBsATgg8zCzJKVmiV3n6V8DMMBADgJgiWAEBV4K32WrmQXtR0AAAD7Q7AE4IP3l+wVn2MKlzCxMhvu0+V/0IXLOdjvAAAOgWAJwAfrDpwTn9cfPG95GI7N2XgE+x0AwCEQLAGESBQVZaFOXszEfgcAcAgESwAhcjkn1/3/UxezsN8BABwCwRKAH5rXSDO9rVzYrTS1BAAA+0OwBOCDxLiCt86EvzQz/TOXpWAJvZYAAJwDwRKAH5IsNKW8nF00DJedi15LAABOgWAJwAf5haNoVloHJMXFuv+PzBIAgHMgWALwQZ7LZTlYeq5rfff/ESwBADgHgiUAH+QVLlkSHWU+WKpcJpE+6NdK/B/BEgCAcyBYArAoX1rbzUpmSW5MmZ2HmiUAAKdAsATg4xAci7GQWWJxhWvJ5aB1AACAYyBYAvBxCE68gSy+g5TFdDEMBwDgHAiWACzKd/k+DBdfOAyHYAkAwDkQLAH4k1myOgznDpZQswQA4BQIlgB87LHkX7CE5U4AAJwCwRKAPwXeVofhYlGzBADgNAiWAPyoWbIYK2EYDgDAgRAsAfjYZ4kDpSgfh+GyMQwHAOAYCJYALPJlqRNFrNQ6wCVlqAAAwL4QLAGEYKkTdesAjpPkWXUAAGBfCJYAfJwN50tmSRmGY2gfAADgDAiWAHwdhovyL1hC3RIAgDMgWAKwSBk+8yFWEsudKD+XlZuHfQ8A4AAIlgB8bB3gyzAcz55LjI0R/8/KQWNKAAAnQLAE4GNmyZdgiSXFFwRLV3KQWQIAcAIESwAhnA3HkuIKg6VsBEsAAE6AYAkghMNwLDGu4G2HzBIAQBgHS5MnT6batWtTYmIitWvXjlavXm24/ezZs6lBgwZi+6ZNm9K8efM8vs/N+caMGUNVqlShpKQk6tKlC+3evdtjm7Nnz1K/fv0oNTWV0tLSaNCgQXTp0iX39zMzM+mhhx4S9x8bG0u9evUq9jyWLFkiakbUH8ePH/dlN0CE8juzhGE4AIDwDpZmzZpFI0aMoLFjx9L69eupefPm1LVrVzp58qTm9suXL6e+ffuK4GbDhg0iiOGPrVu3urcZP348TZo0iaZMmUKrVq2ilJQUcZ8cACk4UNq2bRstWLCA5s6dS8uWLaMhQ4a4v5+XlycCraeffloEW0Z27dpFx44dc39UrFjR6m6ACKb0kvS5ZqlwGC4Tw3AAAM7gsqht27auJ5980v11Xl6eq2rVqq5x48Zpbn/vvfe6evTo4XFbu3btXI8++qj4f35+vqty5cquCRMmuL9//vx5V0JCguuLL74QX2/fvp1PT641a9a4t/nhhx9cUVFRriNHjhR7zAEDBrh69uxZ7PbFixeL+zl37pzLVxcuXBD3wZ8hMq3ef8ZV669zXTdPWOzTzz/w8Urx81+tOxTw5wYAAIE/f1vKLGVnZ9O6des8MjfR0dHi6xUrVmj+DN+uzvRw1kjZfv/+/WIYTN6mTJkyYnhP2YY/89BbmzZt3Nvw9vzYnImyqkWLFmLI77bbbqPffvvNcNusrCxKT0/3+IDIVjQMR/4VeGM2HACAI1gKlk6fPi2GuypVquRxO3+tV/fDtxttr3z2to16qIzrksqVK2ep3ogDJB7q++qrr8RHjRo16OabbxbDiXrGjRsngjflg38GIlt+oGqWMAwHAOAIsRRB6tevLz4UHTp0oL1799Lbb79N//nPfzR/ZtSoUaJGS8GZJQRMkc293Im/NUvILAEAhF9mqUKFChQTE0MnTpzwuJ2/rly5subP8O1G2yufvW2jLiDPzc0VM+T0Htestm3b0p49e3S/n5CQIGbgyR8Q2fydDZeIYTgAgPANluLj46l169a0cOFC9235+fni6/bt22v+DN8ub894RpuyfZ06dUTAI2/D2RuuRVK24c/nz58X9VKKRYsWicfm2iZ/bNy4UQzPAYSqzxKvD8dy8wqn1QEAQHgNw/GQ1IABA0SxNWdlJk6cSBkZGTRw4EDx/f79+1O1atVErQ8bNmwYderUid58803q0aMHzZw5k9auXUtTp04V3+c+R8OHD6dXX32V6tWrJ4Kn0aNHU9WqVd29kho2bEjdunWjwYMHi5qjnJwcGjp0KPXp00dsp9i+fbsoQueM08WLF0UgpBR0M36ufP+NGzcWbQk+/vhjEXT99NNPgdiXECHyCpd0i/YxWIqJLrhGyVV6EAAAQHgFS/fddx+dOnVKNJHk4moORObPn+8u0D548KCYpSbXBc2YMYNefPFFeuGFF0RANGfOHGrSpIl7m5EjR4qAi/smcQapY8eO4j65iaVi+vTpIkDq3LmzuP/evXuL3kyy7t2704EDB9xft2zZ0t30knEg9eyzz9KRI0coOTmZmjVrRj///DPdcsstVncDRDD32nA+zoaLifa8HwAAsLco7h9Q0k/CSXiIkGfFXbhwAfVLEWrelmP0xPT1dF3tsjT7sQ6Wf/6tn3bRpEV7qH/7WvRyz6KLBgAAsOf5G2vDAYS4wBvDcAAAzoJgCcCiP05n+FXgrQzDKf2aAADA3hAsAVi0eFdBG4uGVVL9yiyhZgkAwBkQLAFYlJ6ZKz53buDbAswo8AYAcBYESwAWZeXmic+JhcuWWH7TFdY6KZ3AAQDA3hAsAViUlVPQaCkh1re3T2xhrROG4QAAnAHBEoBF2YVdKRNifcssKYXhCJYAAJwBwRKAxSE4fzNLSudvBEsAAGHawRsgUk1beYBenLPV/bW/w3DKGnMAAGBvyCwBmCQHSv4MwykF3lgbDgDAGRAsAfgoIc63tw9qlgAAnAXBEoCP4pWGST4GSxiGAwBwBgRLAD4GSkqhtq/BUm4eapYAAJwAwRKAD+J9LO5mMYU1S8gsAQA4A4IlAB/4OhPOI7OEhXQBABwBwRJACQVL+QiWAAAcAcESgA8S4mJ8f9MpTSnRZwkAwBEQLAGEOLOkNKVEgTcAgDMgWALwQUqC783vUeANAOAsCJYAQhwsYW04AABnQbAE4INSCTF+D8NhIV0AAGdAsATgg5T4AGSWUOANAOAICJYAfJAcH+N/zVI+dj0AgBMgWAIwqbRUp5SZkx+AppSIlgAAnADBEoBJ8kpul7Jy/Q6W8hArAQA4AoIlAJNypOgmPTPH/w7eqFkCAHAEBEsAPgRLD99Qx/9hOKSWAAAcwfcpPQARhKf5K0u5ffNEB2pZs2wAmlIG6tkBAEAwIbMEYDGrdE3FUn7ts6KaJURLAABOgGAJwGKwFBfj39sGwRIAgLMgWAIwITu3KFiK9zNYio0pyCzl5OeTK0yLvHefuEgTf/7dr1mDAAB2gZolABOu5OSJzwmx0e4O3L5KiC1oaMlxUk6ei+Jj/bs/O7rt7WXi85lL2fRKryYl/XQAAPyCzBKACUoTysQ43zt3Kzjgct9vbkEQFq42HT5f0k8BAMBvCJYATMgszCwlBThYavbST3TgTEbY/g2iCmf+AQA4GYIlAAvBUmJcdEACiHgpYBo/f1fY/g38HLEEALAFBEsAIR6GU2eXwrmTdzQySwAQBhAsAVgo8A5UsCTfTxjHSsgsAUBYQLAEEOJhOHVmyeWxRG94Qc0SAIQDBEsAFjJLgSjwVgdL4eDUxSy69Y0lNHnxHo/bUbMEAOEgvI7YAEGSFeBhOKXXUrh4f8ke2nc6gyb86FmsjpolAAgHCJYALBR4ByyzJA3nhUPNUm6e9i+BYAkAwgGCJQArHbyDMAy35o+zjv8b6A23YTIcAIQDBEsAJmQUrnGWEh/4Ybhzl3No3YFzYVnIvffkJVqw/YT4P6+D979NR2nvqUshfnYAACUQLE2ePJlq165NiYmJ1K5dO1q9erXh9rNnz6YGDRqI7Zs2bUrz5s3z+D4fRMeMGUNVqlShpKQk6tKlC+3evdtjm7Nnz1K/fv0oNTWV0tLSaNCgQXTpUtFBNzMzkx566CFx/7GxsdSrVy/N57JkyRJq1aoVJSQk0DXXXEOffvqpL7sAIsy5y9nic9mU+KAUeDs9uyQPt124kuP+/9ELmTT487W0/uA5WrLrFD31xQbq/ObSEnqWAAAhCpZmzZpFI0aMoLFjx9L69eupefPm1LVrVzp58qTm9suXL6e+ffuK4GbDhg0iiOGPrVu3urcZP348TZo0iaZMmUKrVq2ilJQUcZ8cACk4UNq2bRstWLCA5s6dS8uWLaMhQ4a4v5+XlycCraeffloEW1r2799PPXr0oFtuuYU2btxIw4cPp0ceeYR+/PFHq7sBIgxnf1iZpLiA3J96OC/W4dPG5MTS0Bnri33/9+MXacfx9NA+KQCAkgqW3nrrLRo8eDANHDiQGjVqJAKc5ORk+uSTTzS3f+edd6hbt2703HPPUcOGDemVV14RmZ333nvPnVWaOHEivfjii9SzZ09q1qwZff7553T06FGaM2eO2GbHjh00f/58+vjjj0Umq2PHjvTuu+/SzJkzxXaMA6wPPvhAPLfKlStrPhd+rnXq1KE333xTPJehQ4fSX/7yF3r77bet7gaIMOeVzFJycDJLcTHOHhGXY71fdp8u9n1e3qW8lJXLySsomAcAcAJLR+js7Gxat26dR+YmOjpafL1ixQrNn+Hb1Zkezhop23O25/jx4x7blClTRgRFyjb8mYfe2rRp496Gt+fH5kyUWd6ei5asrCxKT0/3+IDIzSyVTQ5MZknd3DI2xtmZJW+z3jhYKp1YtO9OX8oKwbMCACiBYOn06dNiuKtSpUoet/PXHPBo4duNtlc+e9umYsWKHt/nuqRy5crpPq6V58IB0JUrVzR/Zty4cSJ4Uz5q1Khh+vEgfJwvDJbSApRZio/xHIaLi44O607dnDnLyy9qL3AyHcESADiHs4/QITBq1Ci6cOGC++PQoUMl/ZSgBKQXFi2nJsUG5P7iVJkk52eWjL/Pw+25+UVDb+elInAAgLAKlipUqEAxMTF04kTBVGAFf61XJ8S3G22vfPa2jbqAPDc3V8yQ03tcK8+FZ9hxcbgWnjXH35c/ILJwRiS7sMYmOT4wwVK0KrqIiQ7vYbjsPJdH48pc1CwBQLgGS/Hx8dS6dWtauHCh+7b8/Hzxdfv27TV/hm+Xt2c8o03ZnguuOYiRt+FhMa5FUrbhz+fPnxf1UopFixaJx+baJrO8PRcAo0V0A9nBWz37zeldvL3Fejm5+R7tEVDgDQBOYvkymdsGDBgwQBRbt23bVsxky8jIELPjWP/+/alatWqi1ocNGzaMOnXqJGag8bR9nsG2du1amjp1qrvWgafwv/rqq1SvXj0RPI0ePZqqVq3q7pXEM9d4Rh3PdOMZbTk5OWImW58+fcR2iu3bt4sidM44Xbx4UbQHYC1atBCfH3vsMTELb+TIkfTwww+LgOvLL7+k77//PhD7EsK8e3cgF8BVZ2JypXoeR/KSWdp5PJ2+XHvY/XWOzvIoAABhESzdd999dOrUKdFEkgumORDhaf1K4fTBgwfFLDVFhw4daMaMGaI1wAsvvCACIm4J0KRJE/c2HLxwwMV9kziDxK0B+D65iaVi+vTpIkDq3LmzuP/evXuL3kyy7t2704EDB9xft2zZ0l0vwTgQ48DomWeeES0NqlevLtoR8Iw4AD1XsguXOomNLjZ85iv1sFueVM/jRN52y8p9nk035folAAC7i3IpkQSYwkOEPCuOi71RvxQZ9py8SF3eWkZpyXG0ccztAbnPyYv30IQfd7m/fu3uJtSvXS1yqnd+3k1v//y77verl02iw+eKZpyO792M7r0OM0sBwBnnb8yGAzCQnZtPlwszS4GqV9LOLDn7msXbgrkXClsvKHKQWQIABwnM1B6AMHTmUhbd8M9FlFI4Ay6gwZK6ZsnhNTz5XhLUFwsXIg6X3xcAIguCJQAdczYepcycfMrMydZczy2QmSVvwYbd5VvMjGE2HAA4CYbhAHSoR5aSVEuU+EPdhNLps+HyLAZ7mA0HAE6CYAlA782hipaS4gOXWbqqVEJY1SxZ7TGJppQA4CQIlgBMrneWGBu4YKlr48o0oH0tSikMwJxew2N1GBHDcADgJAiWAExmlhIDmFnifk1/79mEereuHhZ9lqxmxnIcnkkDgMiCYAnAZGYpkLPh1IXeTqxZ2nfqEvWdupJ+23PacrCEYTgAcBIESwB6b44QBEvKGnFOrFl6dvYmWrHvDPX7eJXlYTjuX7X7xEXLs+gAAEoCgiUAk40WEwM4G04RU7g0kBMzSyfTs9z/t/r8P1txgG57exlNNOj6DQBgFwiWAMzOhkNmiZbvOU2r9xes85YgBY9GGaLyKfG635u0aA9efwBgewiWAMzOhgtggbe6ZskJw3AXruTQ/R+vons/XCFms8XHFB0+th1N1/250onGvW9vfXMJHbtQtG4cAIDdIFgCsEHNkhOG4c5fLuhkrgR38bFFh48tRy7o/lysFFRp2Xcqg974EcNxAGBfCJYATHbwTgzGbLjCTt5OaB0gx3McLCVIwZKZgNDIV+sP04q9Z/x5egAAQYNgCUDvzaF6dwSldUBh9urLtYdp8OdryWXjNeLkGW9/+2YLrfnjXLFtrqtd1us6eHr6frTSz2cIABAcCJYAdESpcktBySxJgcSC7ScoPTPXtn8POZDjRYa1NKlWxvA+6l6VEvDnBQAQbAiWAHSoewcFo3WAeojKzs0azdRVqRNjnDiTi9eH3Fg3GE8NACCoECwB6FDPUAvKMJyq+DnbxsFSTq73YCkrt+j5f/hga1rzty4eQVZygvHMOAAAO0KwBGAys1S9XHLA91WphJhina3taudx/fYAWgvktqyRRhVKJXgEnXEm65cAAOwEwRKADjmxlJYcR9XSkgK+r264uoJusGE3z/13s9dt5GBP6VMl/07e2ggAANgRjlwAOuSMSEp8cIaPKqYm0ojbrtUcxnKK1+5u4v5/Zk6e4X4000YAAMBuECwBmJj9ZbankC+e7lyPqpdNsvUwnFFLg+bV09z/v6IRLMk1S2bbCAAA2AmCJQAdckZE7lYdDMr92zVYMlqOhQPJRlVSxf/7tavlvj01qSAbh8wSADgdpqYA6JDjg6AHS4W1PHadDWfUNiAhNoa+erwD/XEmgxpULk2rX+hMrsLbxc9KvxMySwDgRAiWADQcOnuZ/jl/p/tredHYYHByZon7TyXFx1DDwuwS12HpBVoo8AYAJ8IwHICGAZ+s9ii2josJUWYp15mZJbM/iwJvAHAiBEsAGvadzvD4OmQ1S3YdhjN4XgleOpvLWSkMwwGAEyFYAjABBd7GBd5GPAq8YzAbDgCcB8ESgAko8NYPlpTmk2ZgGA4AnAjBEoAJzaqVCep+cnKBtxUx0TjkAIDz4MgFYMLAG+pEdLBkVODtTdfGlcTn6+uWQ2YJABwJrQMAvBjQvlbohuHsGiz5UXg+4Z7mdEv9Y9StSWXNDt/qTuFWhvUAAEIBwRKAl6U9okOwREdy4dpzl7Jzwy6zlJoYR33a1hT/z76Y6XW4D0XgAGA3GIYDUJm26qDnmyQEmY4ySXHic/qVnLCuWYr1UrPkT1AGABAsCJYAVN74cZfH16HoDVSmcB21CzYNlr7bdDQg9+NtX+bYtM8UAEQ2BEsAGst3hDyzlBxn62Bp6rJ9AbmfOC99lgKVwQIACCQESwAqiXGey3eEILHkHoaza7CkpUKpBHr7vuYBzSwdPneFvlx7CBkmALAVFHgDqCSq1joLxeQsJwZL3w29gaqmJQW0ZqnP1JV0KStXLGT87O31/XyGAACBgcwSgJdhuFBM53cHS5edEyz50o3b249woMRmrTnk69MCAAg4BEsAKgmqYbisEARLKQkFSd7L2cZ9iOzEl5YKZnsonbyY5cMzAgAIDgRLAF5qlrJygh8sJcfFuqfO260xpV7RNdZ5A4BIgWAJQCVB1a07Kzf42Z6k+KIA7YrNskt60/lD0VIhEuw5eYmmrTzgV5d0AAguFHgDqKiXNgnFMBw/JmdqOLN0OSeXylBBDZMd6P3+3oq1/ZWf7wpJ9/SS1uWtpe6gNNhrEAKAb3w62k2ePJlq165NiYmJ1K5dO1q9erXh9rNnz6YGDRqI7Zs2bUrz5s0rtrzEmDFjqEqVKpSUlERdunSh3bt3e2xz9uxZ6tevH6WmplJaWhoNGjSILl265LHN5s2b6cYbbxSPU6NGDRo/frzH9z/99FNRMyF/8LYAMvUVfiiCJTm7ZLe6Jb1hwWBnls47aGZgIKw9cK6knwIABCpYmjVrFo0YMYLGjh1L69evp+bNm1PXrl3p5MmTmtsvX76c+vbtK4KbDRs2UK9evcTH1q1b3dtwUDNp0iSaMmUKrVq1ilJSUsR9ZmYWrSPFgdK2bdtowYIFNHfuXFq2bBkNGTLE/f309HS6/fbbqVatWrRu3TqaMGECvfTSSzR16lSP58PB1rFjx9wfBw4csLoLIIxxfc6P206EfBiOJRXWStltGC47wMNw0x9pR6/d3cTrdmcuRViRN/pxAoRPsPTWW2/R4MGDaeDAgdSoUSMR4CQnJ9Mnn3yiuf0777xD3bp1o+eee44aNmxIr7zyCrVq1Yree+89d1Zp4sSJ9OKLL1LPnj2pWbNm9Pnnn9PRo0dpzpw5YpsdO3bQ/Pnz6eOPPxaZrI4dO9K7775LM2fOFNux6dOnU3Z2tngejRs3pj59+tDTTz8tnq+Ms0mVK1d2f1SqVMmX/QZh6j8r/ih2W6gKrpMLM0tXcuwVLGXqPB9fE0s3XFOB+rWr5f66cmqiZmfv05eyKZK4EC0BhEewxMEIZ214mMx9B9HR4usVK1Zo/gzfLm/POGukbL9//346fvy4xzZlypQRQZGyDX/mobc2bdq4t+Ht+bE5E6Vsc9NNN1F8fLzH4+zatYvOnStKb/PQHWefeJiOgzPOVhnJysoSWSv5A8LXT9s9s0qhHYazX/uAz5b/QZ3fLKip8bUNgDccdGlNuOv70Uo6l5FNGw6eE/VL4c4V/r8iQGQES6dPn6a8vLxi2Rj+mgMeLXy70fbKZ2/bVKxY0eP7sbGxVK5cOY9ttO5Dfoz69euLzNO3335L06ZNo/z8fOrQoQMdPnxY93ceN26cCN6UDw6yIHJmwrHm1dNCm1nKLmjMaAfvLvKsHQwGDrr+3LKa5vdavrKA7n5/OX30S2DWprOzfERLALYVUa0D2rdvT/3796cWLVpQp06d6Ouvv6arrrqKPvzwQ92fGTVqFF24cMH9cegQOgtHyky4v3VvSM/edi2N7FY/pMGSnTJL11Qs5fH1K7281xpZxbVPL/2pMVUzWDrlX7/up3CHWAkgTIKlChUqUExMDJ044TlUwV9z/Y8Wvt1oe+Wzt23UBeS5ublihpy8jdZ9yI+hFhcXRy1btqQ9e/bo/s4JCQmiKFz+gPCVIK0Ld23l0vRU53pUOjE00/hTC5c8OWWj7tXJhUOD7q9VDTsDoUWNNNHBvH/7ojomtbiY8L+ui4CRRgDHsnQE4nqg1q1b08KFC9238VAWf81ZGy18u7w94xltyvZ16tQRwYy8DdcFcS2Ssg1/Pn/+vKiXUixatEg8Ntc2KdvwDLmcnByPx+Ght7Jly2o+Nx5S3LJli2hZAKDOLGkVHQdToyoFgfjmIxds8cfYfzqDfj9x0eO2epU8M03++OmZm+jRTnXp5Z6NizXmVAv136JkIFoCsCvLl2vcNuCjjz6izz77TMxSe/zxxykjI0PMjmM8zMVDV4phw4aJmWxvvvkm7dy5U0znX7t2LQ0dOtRdrzB8+HB69dVX6bvvvhPBC99H1apVRYsBxrPoeEYdz8Ljnk6//fab+Hme8cbbsfvvv18Ec9yigIu2ucUBz8Tj56t4+eWX6aeffqJ9+/aJtgcPPPCAaB3wyCOP+L8nIexqlkKdzWharYz4vOu4Z4BSUr2m7n7/Nzp87orH7c2qp9Gb9zSnWUOu9/sxrq1Umkbd0ZDSkuM9WidEamYJw3AAYdTB+7777qNTp06JJpJcOM31PxwMKcXUBw8eFLPUFFxAPWPGDNEa4IUXXqB69eqJlgBNmhTVPowcOVIEXNw3iTNI3BqA71NuGMmtAThA6ty5s7j/3r17i95MCi6+5kDoySefFNkvHjLk5yj3YuJZcRxw8fPmbBNvx32guAUCgDqzFOoZWMownN5U/VDKyM6j85c9m0I2qFxafO7dunpQHtMosxQbCcFSST8BANAV5eJGR2AaDxFyYMbF3qhfCj/jfthBHy4tmHk1bVA76livQsgee9vRC9Rj0q9UsXQCrf6bZ7uNUDuZnklt/1E0NM71RCNuu9adBQqG1fvP0r0farcgaVa9DH03tCOFo9rPfy8+31L/Kvr3wLYl/XQAwla6H+fv8L9cA7BCunTIzssrkSFAvYVrQykzx/M5tK9bPqiBEruudll6WGdttEgYhkOBN4B9hf8RCMCCnLyiaKlptdD0V1IHBKHqGK5n1b4z9PbPv3vcFooFbbl+ccxdjeiOJsVnr/Iiw+HOSp+lS1m5IVuGBwB8qFkCCGd5+QWByj2tq9NVpRNKpF5KDthKwn1TVxa7LSZA3brN0IoZIiGzZCVQajL2R93h2vHzd9KaP87StEfaebTCAADf4QgEIMkpHAupVla/QWLQM0t5+WLNRDvxddHcQOFYzQ7Dk8Fk9Cfn18P3m4/RH6czaGtha4mThf24Tl7M9Hi9vL9kL6354xzN23Is+E8aIEIgWAKQ5BVmdUoikyHPxPtmwxFb/V1CMQynSE0qnvD+ZfdpavbST3T8QiZF4kK687cepydnrKeb31jiMVx3z5Tl1Pa1hfT8V1uK/Qx3gucg6oqNOsIDOBWCJQBJTuEwXEnUyMRLAdqILzfZ6u8Syt3xf121l5e5kpNHn6/4gyIxs7Rq/1nN7TiDxGatLb4MU05uPo35dhs1HDOfthy2R6NTAKdCzRJENB7aWb73DLWqmSaWNckrHIYriWEnO9flhLJmqWLpRGpdqyytO1AQCETKjDGzBd5mt8vNd9F/Vh4Q/39n4W6qlpYohpn/cXdTv54nQCRCsAQR7b1Fe8SJhE/OT916DX278WiJBS4lXRdkl2E4pjd0ZDRU5XRKIMhNSfn1J78e5JokJaD35tXvd7j/z/f52YqCwGlY53pUKbWo4S8AeGffS1mAEJhdOHzBWYxnpaEvOwQuoe4gbiTU+4PXi0uOj6E/NS9YzsjNPrsk8FwFM92a/f0n6jX5N49vyS8FX2ZLytmoLFUPLSc5cCaDury1lL7UGHYECCYESxDRuLeP4kxGtq0Wbh373baQP6Ze1iI6hMNwrE3tcrTlpa70yI11ij2/l77bRlOW7qVww1kz7nHFfba2qBZTloMdX5bD2XTovPv/K/efoWBLz8yh/6z4g04VztgLlBfnbKU9Jy/RyP9uDuj9AniDYAkimrSMoYcYvW+EENebHDp7WfyfMw5a7QSW7zlNy/eeDthj6k3PL4lMGz+mPEOQbTuaTp8u/4Ne/2EnhRv+8+qVI8lBbJZB01K9lhO81p+CAw2zAdfmw+ep28RltGTXSbJizJytNPrbbdT/k9UUSDzDD6AklPwZAaAERZF2EGCHzJJykuQGg9yEkGc2yTKycun+j1fR/R+tCtjiu7rBUogzS4pYVdCakZ1L4YrDHJdG4MN/55lrioadjDp3m61n6vjPRZqB1fnLRdnVg2cu05/e+412Hr9ID/17DVnx846C4GrHsXQqqS7nAIGEYAkiml4MEOphJz3coPKNH3eJ/yszm7QCh0D10tGrhympRJu6hcNmaQq82cDAKdTBi/K3+HHbccN1+9Qz4Mw4fSmbBn221qNv1b9/208tX1lAHxYOcb7y/XbyVamE4MwdQqwEJQXBEkQ0vaCopNdnk5+H3glQfu6BuuLW+71LquA91iDDF24dvV0agTLX5+SqAli9zBIP2VoJIBftPEnXj1tI5wpr9f7+v+0iGPnvusPia3+ylaUTgxQsBeVeAbxDsAQRTS+BdDlAw1r+4voUvaBAfup5AQqW7D4M50sWxSn415GzS1+tOyxmfo38arOpzFLfj1bSoXMFNW5W7DjuOVQWW9g2IyXe94CnVLCCJaSWoIQgWIKIxFfgfODVyyxlllAhaYVS8cWyCOrMglaAVNh43CdnM7Jp3LwdtOfkRZHNsEOfJTOZpSlLwmtGHL8e5czQu4v2aG6nl1k6fO4KdZv4i+XHVReMc50Rd/xOTvBchNdKpgnDcBBuECyBo51Mz6SLmTmWfoYP+jeNX0yDP1+nu4yHURFtMP30TCeaNeR6alQlVRqG0w5g5Jv9GZJ6cc4W+nDZPur+zq+691NSNVxGy868t1g7mHAqjn3lYFUdOAerT9IT09aLdefUWaoUVWbJSrAkD8MFMhsUzk1Jwd4QLIFjnbmURW3/sZBavbLA0s/xoqxHzl+hn3ec0J0N16dtTSoJ5VLiqV3d8pQQF10ULJnILPla7Mxrrc3bUlBAzCdq3ZqlkgqWvHRSd/qwzLwtxzwCAXn/l9cJlriHUSDxmnvfby56HkqrigOFbSsUvT9YLt438gUF11RpSYqLNVWQbpU/GVQAfyBYAsfadPi8Tx2N5ROsVgwwf/iNVKFUApUkZVFdDmD0anPkDt962Sdv1O0IJhTOvLPrbDi1ORuPkNNwQPTF6oO0Yu8ZemL6et3Mkl42L/1KYIMlPct+P+Xx9d5TGfS3b7a4vx7wyWpRUzV/q2egxeQ/m6+vTS3ODo3ByRAsgWP5OvLk0ungbacFbZVmjCv3naGDqit8rWySL0tg6GXdbDUbzsvjPjNrk9hHRrU/djN12V4a9fUWMdQlE8GSlFni/kpa0q+UXK+pE+lFHblX7jsrPk9fdTBk2SA7ZhJ5ePLjX/bR3lPaWTYrXvt+O3V+c4nl0gIIvpI/KwAY0Dth7Dt1idYeKDhY+0PrXBxng+7dCbEFxbXTVnqeiPhkqgQCcruAYAcHJTUMZyZI42JkGTfp5K7Tdm0t8Nse7eVG+O8pP2ceCtNy/kpR48hQ0wpWtC445JsCNVOz4PHJdt5fslcsWtz5zaWWfo7/1l+vP0zHLhQNbX70y36RwZu9tqB9A9hHyZ8VwBZF0jwjym54DbDGY3+kDQfPFfverW8upQ+X7jN1P/zzPNNL64CrNdQRY4Pu3QmqZT4U7cctpJ6Tfy0WLAU7MCip2XBaJ+Li25BH0Lhi3xnaffIS7Tp+kfafzghYw85AMeqJJWeWLmZqB0u/n/A/gxHI56710pBj90AG8nYs8F7n40XbR7/soxFfbqKuby8r9r1ADl1CYCBYCmO5eflibSejgxVfvfpSJB0KvAYYe2vB7163let3ZCcvZtLd7y+nLm/JByTjmqW4EgoMZBd1sgq82O/WIwV9ceT4KFwzS1YDKjnYWHfgHN3yxhLqMcn6dPpgchkEIm/8VPRaPyZ119byxM1X+/T4ykxLX2i9zLReG3JQFcglSuw4uurrTNHFOwuWhEnXCIrtmEGLdAiWwthL/9sm1nYaP19/0VEezvIWcDjhYKRXBH3sfGax7It8INI6kJdUfY4622eEgyNfapZ4SYtHPltjuTVCSWWWzJCfmfx7fb2hoPh73+mMoF2MmMFLivDU/LV/nDWsu7mkk0nSc2ezquSL9/u1Il9pvV+03p7ysSSgmaUwiiKMdkv4/JbhA8FSGFPqXbiHjh65LiKQtQXqAshH/7OWvlxbtBioFergRSuo0zsgy8XaWvVPWtlub9PVQ+GctKCpFg785BOX2bQ9L2nBi5x+s97aLDI7BJB65JO1PE09K4hd2N9btJuavvQTbTt6Qcxqu+OdX3SHY+5+/zcxNX/YzI10OTuX1vxRfFjZl67xKaqmkWbF6QzxmlLYZfz/Zm8yHCrNC9ownP2YGSrWYpRxC8ahmJe12XrEs74PzCv5swKUqIysvKAP5fz7tz/ox20naOR/PZdt8DWzlKMRGOgFevIBSakB8VjZ3YcZWKHAC516C5bkv5fVpT84SOZ6HrUuDStRm1plHTUMt+9UBl24kkN3vvuLR+uDy0GsVeLhMu5P9PfvtotZbdz1mutPtCjDadyjiAMsPecvW5sBlezjciT+DDPz+4k7hSvrxzG+O86c9f9ktTvzI1/Q6AUFvO3vJy5aOu7YJbF0/nI2fbb8D1Hr6eveNMrkB3LoUsHrAN757q+08VBByxVfs6kuu/wRQgzBkg0dOJMhFsUMBb7SDeYblB2VGtn5Qp3o0WrSmKczDCUXPmcU/q7yr6n1xjdaYiNUHry+luH3uTbHI7NkMAzHPX0+/W1/sdu5nketVEKM5rCnDSYI6vrPygPU8uWfRC3XV+sPBzRY4vcH15boDVtmWSysD9QFCf+JyiTF0eM+1C3JWcJ6FUtZ+ll++urjBO9nzpxxX6bjhcPHZmZq/uvX/XT728vor6q174zY5UQ9fNZGGvvdNhry+VrdVQC8Ue8WeT8F4/dUlrXpNfk3nyaEXMnOoxvHL6aBn66hSGTjQ2Bk4oNzpwlLxIvS6oGVh5l+2X2KTl/Komd1rnINh+GClFlSghRfDwLqISCtN7reMJRc8KvUhMgzarSejtHiraHy/B0NDL/PNUryml569TM8BMo9fV7633bR8dyblIRYzRlHJbXciVlaL135QkCNMyOTTSyX8sysjeLk8I/vd2h+Xx7qu/oqa4GHP6qkJopeXMM617P8s/Iws9W/KwdB6q73chZU+Z58LFH/f/ScrTRj1UH3xA3+WyjHBf788KdrRBCidazw9QjFmce//28bbfIjqyJbsqugYefaA+cCNgwnH9f0DpM8jMY1cGp/nM4Qw70/bSvoxu/Nb3u0+6kVPb6rWOZr+d7TIkuq/O6RpuTPCiDcO2UFXfPCPPpyTVFdj9Xof9Ki3fTgv1ZTh9cXeVxhG5HreII1W/WyNNTX+a2llqdyx6iCF61iZr1AT96WZ5g9OX09DZ2xwfYF3olxMfTpwOt0v8+vjT5TV3odhpNfQ5m53g/Gegug2nkYTo9eZkmpueEhOx4GMsLDx+yzFQfcr7P7Plzh/v7O40U/XzbZc3kSDgi41UMwVC+X7PNrVR5mNvNnVbrJa3UZZ3xxpn69eWSWpP9/t+mIyAS+8M0Wj7/Pda8tFIEAN71ctPMk/bT9hGafKTPZb75AUAdaPMmFywF6Tv6NAs3nYTjVr+IRLGlsz6MNPIzGw2lqI7/aTBsOnqch/1ln6rGNdiPvu/umrhSP5c9Qf7hBsGQTfEDhF6P8guSrISsz1JSZX3rre2m5JAUywRqGkzNLXF/C2S9v5IOdelRMK4t0/kqO+2f4CkjpppudV/T7nbqYRd9La3EF83cOhJvrV6THOl1tqgBcL7MmB4tRJvrVVEpN1DyQ2nk2nBV8cfCodEIxu3SIElRw76ZV+7ULueNUL1QOCLxN/9fSoHJperdvS8Ntqqcl+RzEWh1mVrrJazXOVN5XCiWQ0ssscTG8Fg64OIsn37cv52Zu8NhozHx6euZGj6DVW5dxfywsbAFg5Tl+8uv+Yl265feq1nHpjzNFNYbqQJJrqAKFn8fq/Wdp+7F0j67keXIdmsU/Dv9d7TKE6isESzahXCHKb5J2/1hID1kYH7Y6HVx9sgjWbDj1Fb5e9kLvwKE+UWvV53DtAw898smMOzgr3XTlTrjbNGaC2P3tqz4BK7glhEyvZkk++RjVNSkql0mkcPb+kj0ia6FQZ0n0KMNV3LdLT6CuvHlxWi60f6hDbd1tkuJjfA5i5WFmHkKaNqid4faVUovWSeSCZqOLMeU1Jr/UuDZpTWHbBK1JBXqTFrQy694OUV+sOiiCrP9tOuoRtNrJvR+uoJfnbheF8jL599X63eXjpnoBY6vDqeqLJQ5+uFZWvVRQljS7NE/+21gYhuCRhOv/sVAcl50MwZLNTorq94h6MUsjVjJKihNSP59g9VlST9k3M8afKQV+6qtnvRMc99XhJpzu7XLz6YetRWP46w8Wr1ew8xpiVuqn1CdqHuqo/fz3IuBW8Owtbyed6mWTbB9A+uPQWc8TlF6XbDUlJjkpZVGC9VrivyUHQy/9qTH1a1dTcxt/1i+Uh+74fx3rVdDdljetWpjFYlwnx8Nkejj78c/5O2mllEH6ev0RumdKwdClXGenxrsv20tw7y1Yko8t6TZdX039GtQ6fmsdy+ULaQ5sAlk6wPVcXCvLGTg5EJIvwPOk17eVcw2v3cjNdLmzvhG+ELHr34whWLLZSdFsozstZq+SeUz/8WnraObqg+7ZK2YyS9ynQ5294lkw3np3qDNLZjJg/BwV6tjKKEMiZ6TUj7NF43nm+BBghpLZIRP5dcOdq7mI1mg49BPV7DjOYtzTujo1rVbGo0Yl3KiHN8wPw0UVG3JSC0ZNh7JGoFHdUd2rUny+f2+xeJUySZSaFOdx2zsLd+tuz0OcHyzZq3ssMnrv8t9Gft9rZ5aM97GcYen9/nKyioedlnspfg4W+ffVCkbk3aEOOv0NlpSavHHzdnj8jeS+ZTnSE+BavcW7TloextX7+/EwYtvXFlLb134muwrfo6LDKAc/rYPM7LWHxJg+v1h5Bo/WWmnqlKkRLv7mjMvzX2+hk9Iq4kZXxrtPXKQb/rmI+kpFxTyzhPurcCGgFn6+q/adKTY2b+aqRP5d1AdYo8J3uXZHfqP7G2CWFLPZdflEffCs9lCHXFgvrx7PRt/ZiCbc01wEBa/0akLV0pLE59saVaIhN9Ulu5CHhHyhPlZrLTWhRTkXGdWG5OXni1qPD5fuDVh9RlJ80SFanvkmN5b8afhN9E6fFqZOVmrqmW1aw7L8uB2v0c8+mcX7xKh5Ku8y+T3L703uZK8clzhDcdRLDZgcM/D6gFbx8P39H68Sxzv5fcNZDzN/Uy4D8JV8oad1XPIYHlMdQ60Ow0348XfN34cfV77wki+wsqTH5EzhwH+v8bhQPnjmMq3XODfJWVC9lQY2FS6GbeaYXVIQLNksg6AVSDz3383U76NV9N3Go2IGD6915s+JX56dJl8pGw1Dj/9xl8gQyUNZRvUH7I0fd4lZFedUzfaMUvFF2+Tp/l5Tlu7V/Tl5/xlNHdd7Lo92sk9gwMyec+WA8vgF7eyHUd8h+SRzTcVS9Nvzt4peTx/1b0MvdG9IdsDPa9ULXWje0zda/llliFmdWVIH8nqUk5HRPuQTAdejjPthp8fwrz/KpxQFhw2lNd3kxpLcCiApTr+bNw9j651LlS7gen29uJfTtZVK07RH2tGNBsN1ZvAwsLfMkvy+/3X3abFu5eDP14qveSarGp/wecKIchyzUsMlFl3ee0azs//eUwXHNr7Yazhmvsh6vCmt26f3MHe9p33h6M3hc5fp6IUrhsdIrv1SH+e+2XBY/P5WM0vcRHXZ7tOar+EcKShT9s2BMxn0oka2WikA531504TF9Of3l4s2Bnp1l3IpgOxyCFrY+AvBks2G4fQCiV0nLnpM0dV6QZnJLPGYsDzcJgciRsNwclZCuSKRrxi0rlL0llnRHI/Pd4niUa0rEHUmae5mzxltehmW9CvegyX5vsunxNOoO+wRGFg9cCh1Bvz35ZoRLUbBo6+9YkLp2koFfYwaVU2lu1tWs/Szyuui+DCc2cxSwf4xansh/63kNRf9UaF0gmaBr3pJHvm36tG0Cn3yUBv313wijfISjHEWcdPY24t9v3RirEc7C3/wvja6oCsYhiv6Pjd9ZEqNFNe9qP1v8zHRLqXrxIKFss2+jPl4c9e7v4ru64M+K5hEI2dUlAJ6Xh5I8Z7Ul0svOPGWNdfLTnX852KRqVGozwOctfl5R9HEBA4qOVB5ZtYm8fv7MgqnrFWozoZ5ZJayckX2qNOE4g1sldck931q/eoCj3OVTN5X6iWIeGYg7zM5iPKl9jYUECzZLLPEaXwzM5V4JXV1Qba3zBKfSG99Ywm9/oP2yXTN/rMia8MHfaOUs/JGltP78oud+4HwiVnvavfZ2Ztoya6TorM3vxm5Q/Jr83ZQq1cWuJuq+bJIrNhWeqOZKRb0rHGy35vUbGsD5Qpw5zH9YQCr/a3s4oN+rcQw0N//1MR9m9Vzg/J6UseeZmeQKidho8ySHKi/u8h7w0s9E/7SzP3/NKleSF4LTl3g3bpwiRoObib3a0W3Nqjk/h6fq/SC4XIpRb2htN6vqYlFj+9vLZu4UDNc4sP478EXM2o/FmbwlAstM60U+Ng2bdUBMTWerdxXcMzNkP62XDv1w5ZjupkQo4sLnql2QWPpmr/+d7PIvpihfq+ezvDMFnNAIa+M4O1iR+t4rvwtHvzXKt1jIq9jaJQtW7jzpOj7JC/Vo57BK//J5WB4y+EL1H7cIhGwyu8ruwZLvi0uBEHLLClvYC3y650L7DYePk+tapY1vXDonA1HDNcc48ZmjIMpvmJYMOImUeApHlu6duUXNl9lykWm3PeDD6Y8G6bLW8uoRrkkSo6P0T3YPCRdRcm4qdr+cd1FWtqX5pxTf9lnarhOIR+85eJSuzCbkealPphRl+5grpUWTHc0rSI+PFiMljjzlkQxxU7WZtopKLPmuDXFGdVJS2/mqj+B9z1tarj/X0rK7MiZJfUJqUKpBFr9QmfRgV2Nh6b0dpccLGm1qZAzSz53X5T6xhld+PDFn1HNSpnkuGLZJV9qd/hn5JYiCnk4Tu7FJeP1B1/s0cgwk9PlraVUNjmONozxzNTNsrCQuHrigTqA4N/hF2kYzdsxUuv1eOjcFXHMU8/wlOvKeLjO6Hpthkb/KnXg5nGMlYLhmWsOuiekcG1k0XPlbTwnFdgBMks2YWbxVvVsG/WVnrfMEkfyZnHww1G/+76lN5sSAM1YXfRG4ZoqTtV+VbiaPU+P9TVtzyu4PzZtvU/BkjwVXD6YmGHHDrVm2zlsO1rwtz2tMVShUAeuRn187M7qa4uDIi7SlVtlWO0XwxMj+Eo7lOpWSNH8nbWOFxVTEzWDJaOapZuuvcrjJPevAUXDd0w9E86M6+uW011iQy4l8DYbzluZAb831Mc8M8Nw/BgHVWtvcibIzFIhfFHCnfO9ZbDUdZpWqbPi6mCJA8+pUpmDUQkGF8nLLUQU3IuKRyjU5AsIvYtdI8X+TlK0Jf995d+Jfx/3zyOzBP5OEd+pyjqpI36jFxlnHPb4UEfB6Vs+iMpvGk4Rcwp4gdTcT5l5wkNqCs4s+UJeQoLJV6OB7FTrBGaH4fjgzH8ro6nt6polo1lSdje8cz3Nq1o9t765xGOoQO4BdHujytStSeVi3wtFx2G+4DG6yElLjqcfh98k/lby0Ju6ZskIv38LrvaLfp9fRt5Ch85ddg/fKTo3rCSGPR8vLKb2yCyZxEXhWib+rN9yoGgYTn9fqAMpfm9kq4bt1JklreEwzl6pg5E/f/Cbu6jbDHMZrDzx+5ROiNWstzLy+4lLYgJNncJgWX3BqH7ty8OX/Lrlx+WZzjXLJ4tWD3IwItP6neXH8mXoPlP9d5Iu+Pj+dh5PF+soyq97rS7wduPco2UEZpY+lmZDsBX7TtPI/25yj9cbHWhGf7vV6+w1LUpaXB7C4TeD1olHfXL3NVgyevP2mOTbbBOnMpvs4lQ3B7RaM3v0huEcUNOti7Mo3hYblum9Xtlj09aJZqZzNxd1fQ7VQVuvQ7usfuXS4qQpF8paqR/iTdvVKcj28PAQq1EumTpcrT27TX4cuWbJrHid3lDeFAzD6Z+c1d/jmblXpCzGY/9ZJzpjywZ+urrY/Ww/dqHYhaaVQMnse+e+D1fSTeMX0+PT1lObV633D3rkszXuFgbe6njkYz///+YJS0R91Ocr/qCNFhcP5iWp/MksTVrkGRTLE4c++mU/dZv4i1ibUf6djkjdzM22wAk11CzZhJUrRcU/5hUUavMx/Y17mhm+obiIUe/qwgivs9ayZlmPK4yPftlH3RoXvxJXv2mVGSX+kg+SR6SixkD790P6C9eWFL013PSGII1eA+qrRCcujuvtAoNvK18qvlgfKbX6lUp7zNpRlo+pUTaZmtdIC1nPF84YyYXFZn9fM1PkecbgNxuO0NBb64n3K08973NdDe+PIwVwvmSWfC0E5wstvWG6r9cfLrafuE2DbL7GMJpW1/6HPy1oReAPM1P1lSBF63mZwQHcbW8vo6kPtjZsBKo+7nLdp9JseMy3BTMKreAJOP4ES/tOZYiRjPKlCmZayiPdyoy+bzcepc4NKmoe15FZgoAubinbf/qS1xcYZ598GVUY9NlaMUtNXhCUX+hKml6ry7fRgcoXSlaAZ9kFy7dP3kC3SG9euxjUsY6ptfTMBEvqzJLVRnZ2o7Xkx4AOtem9+1t5/dnr6ngOP2ktVuptwkQgWFm2JEY6RkSZnFX384ib6IF2Nemq0gkiE1dbqoHSI78ufKlZSojzNVgiWr5He0mMEV8WncDtIJStNr5YfbBYaYJapvTetrJElje+jkRn5uaLwJfrZPVa0sjnLG4hoHj6iw20aGdRiYdd+PSqnjx5MtWuXZsSExOpXbt2tHp18VSnbPbs2dSgQQOxfdOmTWnevHke3+cx1jFjxlCVKlUoKSmJunTpQrt3e0bSZ8+epX79+lFqaiqlpaXRoEGD6NIlzxqczZs304033igep0aNGjR+/HjLz8XOw3BGB1y7TLeUOyIH6jlxsMSvkd4fWF++IBTBajBVLJ1I60Z3MbUtz1wxmnEjB0vTH2lHFUoVn4rtJI2rFjVplK+EzWQ2tAqh1RmDUGSWrARLnpklE9vHRNM1FUtbPrHL6xGmhjCzxH87dY8eu7Iy6cRfi3d5D34uGgy/l4Qr2bmiqJzbDmyR1uvUy4bJdalcfB+I7F+gWX5Vz5o1i0aMGEFjx46l9evXU/Pmzalr16508qT2OjHLly+nvn37iuBmw4YN1KtXL/GxdWtRN1AOaiZNmkRTpkyhVatWUUpKirjPzMyibAYHStu2baMFCxbQ3LlzadmyZTRkyBD399PT0+n222+nWrVq0bp162jChAn00ksv0dSpUy09F7svmKp3wLXrDIJA4CsQPtEbLWLqr0ZSd2S7iTP52njqiw2G37+SU3BAbVu7HN1wTQXq264m/al5VXrr3ubkRG1qlxOdxrlYWR6yNVO4nhIfaxiQ8NX8Q/82vggMhAQLRfaeC+AGL7iXX24eNUuqBIFeY1Arv5NT+Vv7z5k+PVZq8ezqcnaeu2XAbzrZQr64cxLLr+q33nqLBg8eTAMHDqRGjRqJACc5OZk++eQTze3feecd6tatGz333HPUsGFDeuWVV6hVq1b03nvvie9zxmDixIn04osvUs+ePalZs2b0+eef09GjR2nOnDlimx07dtD8+fPp448/Fpmsjh070rvvvkszZ84U27Hp06dTdna2eB6NGzemPn360NNPPy2er9nn4tzMUpTpLE7l1KLGlk7Sflzxqa9m3VL/KsNsBC8ga+cO1laWcDCiZJbiYqPci7RO6tuS/tyqOjkVr2HHxcpycaiZehK9zBIPQfFMz1Ffb6F9PkyIsKpp9TKmt5VrzIL5cpUvvEobFHjXlPa7lWDJ6RlN5XXnD3npGrV6FQs61TvZRGnm44p9Z7y2eQm7YImDEc7a8DCZ+w6io8XXK1Z4Ftsp+HZ5e8ZZI2X7/fv30/Hjxz22KVOmjAiKlG34Mw+9tWlT1AOEt+fH5kyUss1NN91E8fHxHo+za9cuOnfunKnnoiUrK0tkreQPuxR4y5klLoA0Q+4CbEfv3d9Sc9FOswueqn068Dqa2Kelx/piXMdh5sQZbpQCbytDP07DQzlmrvpL6bwPuDi2w+tF/cWC5d8Dr6PZj7UX666Z5e/K8mbJEwESpfqjh27w7Ms1UPU1G/+XZoaZPV5fjoN0pzNaGsqMChrdyAM9MSbUGkkBoLJEjT/kZVfswNJR8/Tp05SXl0eVKhV122T8NQc8Wvh2o+2Vz962qVjRs/g2NjaWypUr57GN1n3Ij+HtuWgZN26cCN6UD66FKqkpxLo/GxtNb0iLPBoxWywc6J81685mVWn0nY0Cdn83169YrO6C6ziuq13W8QcnnzNLYRws8TCcfEFQu7x29iNZZxguVHg23nW1yxXLECnr32mRs5/BLM6X63Hkx+TnKy85wj2g5Kzttr93pXvb1DAMlrj43t8ZrYGKGf3JcPGSJv5IMGiqarQostqtNpqU0q1J5YCWM/gyezuYwveoGSCjRo2iCxcuuD8OHTLfst4Kf64avfWlkPsd+ZNFkdemCwZessHqwcIMrSE2+WSTHODHs3+wZN8hR18py3bcWO8qql42WQTcnOXQ6/QdrAzrkJvqmtpOGaqSh9Z48dsvH21v6ueDGSxxk04O5rQ6vKtrbeT8inJsMSrw1mtYaQY30OT9E6gMG2eZQ5SsK8boPegtkJd//ypBPiZbkRAbbViLZZW/XdBLNFiqUKECxcTE0IkTntP6+OvKlbX77vDtRtsrn71toy4gz83NFTPk5G207kN+DG/PRUtCQoKYgSd/2G0Y7qzBelXqjJBW3xSlr4w3wXxjcs3WN090KJbp4WZ6XFej1qVhJf8eTzpYJTtoGK6ZhRoXvQ7e4ZhZmvf0jfT2fc1FqwXGnznLwYXsWlKClFkym61QMgvyiY8Xv+VsjRnBrFni99+Pz9xEL/2psddttUajfGk3ILureVV6rNPVxW6/v21NalunnN/F1YqqaUlBex34M6HHWzNfORhVLjDtID422q9GxOo6Lrut1mDpqMn1QK1bt6aFC4uKbfPz88XX7dtrXxHx7fL2jGe0KdvXqVNHBCvyNlwXxLVIyjb8+fz586JeSrFo0SLx2FzbpGzDM+RycnI8Hqd+/fpUtmxZU8/FqQXe3voZyYtxtqhRvL+M1kUOB0a8btSLPRp63BYs7/Rp6S7UldP4fFxMVKX1/+/2az2uzNaPvo3+eL2HpcfzyCw5aBjujiZV6OWejel2aeFJsyfucB6G46zn3S2rFxsCalIt1fIwiFlaGVCzV9buzJKP7/uSyoioacUtVuqwmmsE/+WS48QsTTXlbxuoNRyrlknyqemmLyqWThDZOm+ZJb6w9bbuofwat1OxfHxstKWSBjng5/NffWkImv/+vFSLnVg+anLbgI8++og+++wzMUvt8ccfp4yMDDE7jvXv318MXSmGDRsmZrK9+eabtHPnTjGdf+3atTR06FD3EMnw4cPp1Vdfpe+++462bNki7qNq1apiWj/jmWs8i41n4XFPp99++038PM944+3Y/fffL4I5bgvALQa4xQHPfuPna/a5ODVY8kae0SLX6rCvn+igecDmBo2fP9yWukqduqulBe/FKx885P/zbEn1weP2xpU9+nL4MlVZ/p2dFCylJsVS//a1aWp/zwVPrQzVhGOwpCc+Jibg77eWNQsysTzMN/G+FnSzVLdzVSlzFxTK4/OQYaBnUwWTmawOD2+p9WhWhT7WeM02qVY8WIqJ5nXwiv99Ar2WYaXUBI8LSX91uvYqsSyNVgDIdWCZ8jp2Oi8/Hh7Wqg29+qoUzfevv7V3f26l3f5BTxOdiw8l42XlWDpZah7LQZY8utKnbQ3RY85OLL/67rvvPnrjjTdEE8kWLVrQxo0bRQCiFE4fPHiQjh075t6+Q4cONGPGDNHviHsy/fe//xUtAZo0aeLeZuTIkfTUU0+JvknXXXedaDbJ98mNIxXcGoCbSXbu3Jm6d+8u2gfIPZS4+Pqnn34Ss+s4+/Xss8+K5yj3YjLzXEpKME9gvJCjVs1Am1plqVXNsponVSXVK9c41TMoPg3k7y8HMnwRqQ6WODjKlXroax1E29ctT6/0amIqlV3Sxb5WyFen97XxbbJBfBjWLOnRO8H6834b1rkebRp7uxgu6tWyGk15oHXBMisp8bonX3VsptTRdWlYkZ697VoxO84M7ik158kbqFZ57524Q7H8jtZiw/x+HaXqFcQnxi4a2VCuMVPjQEnr7+Nrs0s9nF00ao1gFV+ILv6/mzVLBHLzXDTitmvF//u2ramdkiOi6+uW95iBqNXTSr449LeZrlywb0a9ivpZQz5XWDmWyr8nZyM9L5jtd0Hn01mCMzF62ZglS5YUu+2ee+4RH3r4wPHyyy+LDz08840DHSPco+mXX34x3MbbcykpvqzBY5Z8pSIHP8r7VSuzpLxw5ULYYI6Py89BbsLI60WpDx489ZgPPkZZgi+GXG/4ePIVvZ2KJPVMG9SODpzNEI0YFX/v2VhkNfiK9ZlZxZeD0EsC2PFAFPpgyfeTDL/+5IsODg42jr1d3Ke8CKmMe1n9d91hzWPfU53rmX5sHqqW+0rZ1aOdrqZxP+w0rK/i+jutYw/fFutnZqlFjTSvC8hy8BXIGb5cA8XSNAIQ/n16tqgmZhRyr7t/zi/YN7JHOtahp26tpzkhpWn1NM394E8zY6as3+ZN18aVaOANdWjN/rOGkyysTM5JjI0Raxby2nlc7vH1+iMhb5NhReQcNW2OCxeDgbNH8lpNHsFS4VWhdrBU8DNyTxT5Tao0d+Sr7ECQjw9yE0aXicySLw0leThLUVdKcdtVx3oVqF+7Wh638X65o2kVUXuhtzZYoCcTOI1eNsJMwMiLzna4ujx1b1rZ69pnfNLl94reCT1FGp7gjJRTWSmuVgLSBpW1h2749au5GHJMtObfTdm3vFSPN2YCK34NBLJmiYMhliYF0jyDjwNrZciJAyo+vql3Iw9fvXhnIyqTrJ3pkp+nnM3z5a3Mva7Us0jNZJSur1vecL/yfVkZhuP30cQ+LWjVC53FYu16F8x24ZzxhzB39VXmh7iql02iw+e89yrp27YGjezagP7+v22aB23lClVrGE4+mfAwAa/Xw2PxS5+7mTYfvkA9mlYRHY55LN3bitj+HIRFzZKqiR0fZOXMki/k7sNOGobT0kCjfoVr0XiIVQuG4cwNX4z7c1MRiL/z826at6WgFxs3TNXqAl+0b7UP8tdWLujtxUHVuxqzO53CZSF4+vbJjvTxL/vomcLhJwVninndPc6Kal6oicxStO4xycwJvl+7mrTaIAtScH9RAatX5KyQ8rvIGXgeKr+njfcVArwVdadIxyh5l/tS88bZq192n7Y0DJdbWFRvdJGRlhxnaX9ybRr/3srvLmd77bhWp7PPEhGKo3AzwRIHSmVT4j2CIT4IzRjcjmauPuRu/qiV8ZSvIORhAq6VUOoltAo5faV3zC2oWYou9txy/JwRw7Mtth1NF1dLTqfVu6Z24d/oq8fb06SFe2iptBJ5JA3D6RX/m0nzKyc4edNpXrIaWlknxgE/9wiy87I6ZqhrlMbc1Yh6v7+cHru5+FT/RlVT6a37WhS7/afhnWj53tPUu3V1zWGdGFGzpF9HqdeagIuPZz/agfafzqCGVUrTsJkbvTbz9RakyKY80Ioem7be/TW3p/jXr/vF/zOkrudyP7rE+BjNv7l6P3p7VaiDEM6uHTl3RRTIc23m7LWHxEWs0YQAZS02Lm2wOgyXV5jJN8oslU2OpyQLF55yjzEmB8h27AWHYMlGuBDbzOrR/GLnAzjHC5zZefSmq2nkV5s9tuFOqhwoMfWbtcPVFcQHmahZCoT/Ptae/jJFf0kZvUJR5XdVT/Pm56u8eX3Fb8xAdgovaZzx23T4AtWtkCKu9pWr79a1yomTkkewFAELnSq0Du68b7w1dXzjnuY+rc2XoDP7jp+H0wMlLVyYy/VaVmpMeEp4zfI1dfctD8FoBfTKY5TSOSHXr5QqZlVxkMZ4iM+ozQA/Dg+Tfb7igKnnLQcCXGvDxw93sCQdt3mWnSLf5EXdmYxs08ESv7/l/mEPXl9LfNR+/nvdn3+sU13ae/IS3XjtVZQjrf0nDxmWTY5zN4J86tZraPLiPeIcw/IKf8ToJcx/M/l58vvsrMHvpb4vzijKWSe7sd8zimCmp7G6iL554gYx64KnkN97neesqGXP3SLWnVJ4O0Z7G4bzl5mTjdnMEg+NMH+H4cINZ/s4W8ZXmurFWdXZlUjKLGn9roNvrCuGSh69qa44KXibIm2lW7belXegp72XFK13nT/FuFp9qfj+tP5uykw8rjfsrLHMh3offzygjVjwlofktPAFIb9napQztyiuZ61QlGbDV/Wwfnqmdhdq9bWhemFe9XP2nJijfewz6r3GNU8jbq8vCszVtyv+M6gdzX2qI+39R3d69vb6tOWlru7v5RVenOZpBH88vKx0rpf7LHEZyA/DbtR9TupaUTmzFMxWOr4Kj3dwmOCDuBk8hZ+7bvPBQKl1UjIJfMDgKzf5zeXtdaf11vPlhMoFsVrMvPBrlE3SPUBx4eyfW1YTwaHyGPL6VQrucRKIFcHDjfokEqk1S3wy+ezhtu4D+6juDcVJgby8/pX1t7gmw8rj3SadvOT2HY4W4GsUPn690rNxsSDGKADjDN0HD7Qudrv6ooDXhfzt+VtF/yMtnGHl++JyBV8vALl/FBvU0fPYzTPemF4HeVmvFlXpwwc9f5+XezYR2SKt302vTmzCPc11j33ycCPPqOUWJHc2q+Jxgc7XBHyxpex7+RySV/igWsHS7Mc60AvdGxZbOoqP21r9wP43tCNtGnN7sVpRjwJvG17Qhck7ODzwWkwvz92u+b1/3N1UjMP/vOOE5lIAPLV83A876LmuxQ/+T9x8DX278ahuMJMtpWV96WnCxcQbDp4Xi4DOXFN87TyjK3OuqTmRniUWt9WijK+rax+00uufDryOPliy13B9Ln/WpnKqSM4sya/j8qXidU+cRj9Xv3JpWvhsJ9GF2Rv5gF9DKr41u4yJ3QUjn/tg+9o0+ttthploLqy/VjpGWGlaWbvwIqrY9hbfB/IwqvLw7/ZpSWPvbEQVC4Mjxc/PdqIzl7J0+2HJ+3Fin5aaryN5EoqZIVw+tj3Yvha9XtiyQe8YwPtp/vAbi92nUff5vPziwRJvP1J1vpEDIL2/B2cGtWb9yX9TO7YOQLBkI3rDVZwqvr8wLcvF3Vp4nJ7TqHoHC26ip1fMmCV3lvXyXLTwrCv++G1PwQwLIxyw8RTZH7ceF2lYvd9HoTfkrzUMxwem13trT5d/697mNHvtYRrexXNmTiSQ2z9EXOsA6YBtZdajOqC0MltVUUrqUVY2JfKCdCv4Yu+Bf63S/N6Tt1xNz6myP1rBg+5MxEql6ecRnajLW0u9XjRcX7ccrdx3ttgw04Ezl8U6lerjI39WB0qMZz3628MpWyN77m0Gol4WX92PSd5/vK7ixcwcw47ZeRrB0uoXOhf7O8jDcOplqtzPRefvJF9Uo8AbfBKIKNto1keWRmbJl4fk2RDylNlZaw8Vm33Bz4MPIlx0bIZe4bfWMJwRbgrIH5GoeGbJfldtofjd5bYZ3vizj7jwd9+pSx5DEGlJYZJZCtQqtiptpGWY1A9hduKrUV0Yz9zl78tZdGV6uny+15o3MmPw9WK2mnySV8/kssrMbvTlNah3rjA6hygF8UZyC/8IckZfK2DlbJOyn3kY1NeyDDte0NnvGUExVgpMfXFns4ImeVWlKa++PCS/6bilPzdDfO3uoqVGtMa5/T2oBGoxzUgMlgK9bISdyb+rlXXA/DlY85Ty1+5uShczi4p+rSwwamdKz6R7TF7smCVnedQBmXyxZfY+zNB6H8jNbuWTu/r1UMvPRV4rlPYePPOyKDzRgBcON0svKPJ36D2v8HjL/fWM1ibkocBvnuggZufqDX+aCpYwDAe+CPa57eEbalO1tESqUiaJek7+za8A7enCnkzyAU+Oa6zebX6AMkuRTD2kGi71M1Z/d7lg1ZtABJRm2oA4DXep5tUGKgV4kVP5JG+l8aV6iRMrtAIIeYFurQwKTxBYsP04PWJyMo6eh2+oQzuPXaTbGxvNYIujuU/daCm7pxUscRNVf3vipRXWenIAtPbFLpRqsKZe46rFFxK2eiGCYAlsmVnig0G3JlU83oT+9oSRf547jrtv99p+zZNeAsmfbFWkkQuNWYVSkRMsyVJ0apa4ePhXVb1dIIYqe7aoShN//p1u0lgs1sn4oiqY1L2JzPQq4oaR7a/20mBWdTdaf2OtyS4yniBgdpKAES5HmORjJ3ejvSEPD/KkIJ6+z4d1KzWoMu42z2saDpdqPf1dI9RMIIQCb/CJry90fwKcQDzigmduEn1GKmkUQPqbWUKfJfO4hmDMnY3cMy2DuSCynan7T8mzKLn4948zlwN6sOb9zFfhkTTsGQjqd7y3WImbKfLFnlVaGQ69omo74NYo3J28a2PPtQpl8uu2S6OK4pjuz3Uvr2MY6LUMY01ciNixgStmwzmAv8WEJZXNqlepeDsAq3erl3Hmq/bZ6w6LmSpgTaS1T1j0bCc6fSlbd0YbnzTlJTSev6NBwA7W6pmI4J06OPJWs+TrsUoriPWWWSpJvFwOd+Ln/khmgqWSOG+YYcdFcs1AsOQAJZGSDPT7jK9O/rfpKPVvX9RozQy9A+XfezYWDd9u0ZlxAZ7kYCBUmUq7qHtVKarrZeRErlXR6mMGoaOuyZGH8bWYDWxvurYC/bzjpOEwnJ2H93mm2V+8FNbLu8KOQ1lOPv44M8SLMMGuWQpFgd2kPi1o5yvddJu0WQ2WuGdOr5bVNJubQXF3Na8iOliPvSt81sMLJEwYsGfvpUc61qH+7Wsbbmf2UMXr/d1Yr/iamMoSILys0rv3txTd1q0Wi9uRU4MSu0JmycYKFox1iSuiUOHMD69erdcjw1d89WdlhW+FjS/0HIWHg3gdQdCWa+NalUjRtXElWrzzlJhxxzrWqyA+vDGbQeFZoI93upp+2X3aIyPFNZWrXugs+r/xjElu4Lto50l65PO15DTyBBq7DsM5FYIlG1vx/K2059Ql6nB16IIlXpMoEprgAXibMg6hNeWB1qLA2mqdl5XMu94UenkSCmdkOjesSE/cfDU105kUYFdOGIZzKgRLNsZt9LVa6UcSZJYgFK6vW56+Wn9YzKyCksGZHl8K4q3UC/PxlGfpcg8jb89lZDfrC+xGevlGoOoq7Qg1Szbzfr9W7vF1IKrtZ6dcADPG/qkR/bVbA/puaEfssDAPCniWbmVptYJwZZfM0tv3mTuX9WpRjbo3rUyv9LLX6IYCmSWb6d60Cv3+6h2G6xxFgjlP3kAf/7JPTOMGCDbuSPz4zZgF50SozdFmk1iJ7m5ZnQ6euUJv//y74XZ8znu/X2uyKwRLNhTpgRLj2Sjv3V+QZQMA0OOw0abQNRa20Y6Jss9T8RnOygAA4Fj+LhIbTuwak7jCYP4EXmUAAOA4r/RsTGnJcTThL6jvtHsG58+tCtpB3HCNl/X7bAzDcAAA4DgPtq9ND1xfy1bDTSXN6kLloVKjXDJteel23cWsncC5zxwAACIaAiXnKO2lXYPdYRgOAAAgDCDJFjwIlgAAAMJALfSlCxoMwwEAAISBxlXL0Lt9W1LVtKSSfiphB8ESAABAmLiredWSfgphCcNwAAAAAAYQLAEAAAAYQLAEAAAAYADBEgAAAIABBEsAAAAABhAsAQAAABhAsAQAAABgAMESAAAAgAEESwAAAAAGECwBAAAAGECwBAAAAGAAwRIAAACAAQRLAAAAAAZijb4JxblcLvE5PT0duwcAAMAhlPO2ch63AsGSRRcvXhSfa9SoYXlnAwAAQMmfx8uUKWPpZ6JcvoRYESw/P5+OHj1KpUuXpqioqIBGvByAHTp0iFJTUwN2v+EM+wz7DK8z+8H7EvvMrq8zDnc4UKpatSpFR1urQkJmySLewdWrV6dg4T86giXss2DD6wz7DK8x+8H7Mvj7zGpGSYECbwAAAAADCJYAAAAADCBYsomEhAQaO3as+AzYZ3id2Qfem9hfeI3ZT6jflyjwBgAAADCAzBIAAACAAQRLAAAAAAYQLAEAAAAYQLAEAAAAYADBkk1MnjyZateuTYmJidSuXTtavXo1RaJx48bRddddJzqkV6xYkXr16kW7du3y2CYzM5OefPJJKl++PJUqVYp69+5NJ06c8Njm4MGD1KNHD0pOThb389xzz1Fubi6Fu9dff110lh8+fLj7Nuyv4o4cOUIPPPCAeA0lJSVR06ZNae3atR6dfseMGUNVqlQR3+/SpQvt3r3b4z7Onj1L/fr1Ew3x0tLSaNCgQXTp0iUKR3l5eTR69GiqU6eO2B9XX301vfLKKx5rbEX6Plu2bBndddddojs0vwfnzJnj8f1A7Z/NmzfTjTfeKM4V3MF6/PjxFI77LCcnh/7617+K92ZKSorYpn///mIFjRLZZ7zcCZSsmTNnuuLj412ffPKJa9u2ba7Bgwe70tLSXCdOnIi4P03Xrl1d//73v11bt251bdy40dW9e3dXzZo1XZcuXXJv89hjj7lq1KjhWrhwoWvt2rWu66+/3tWhQwf393Nzc11NmjRxdenSxbVhwwbXvHnzXBUqVHCNGjXKFc5Wr17tql27tqtZs2auYcOGuW/H/vJ09uxZV61atVwPPfSQa9WqVa59+/a5fvzxR9eePXvc27z++uuuMmXKuObMmePatGmT609/+pOrTp06ritXrri36datm6t58+aulStXun755RfXNddc4+rbt68rHL322muu8uXLu+bOnevav3+/a/bs2a5SpUq53nnnHfc2kb7P+Djzt7/9zfX1119zBOn65ptvPL4fiP1z4cIFV6VKlVz9+vUTx8gvvvjClZSU5Prwww9d4bbPzp8/L47hs2bNcu3cudO1YsUKV9u2bV2tW7f2uI9Q7TMESzbAL4Ann3zS/XVeXp6ratWqrnHjxrki3cmTJ8WbaOnSpe43UFxcnDhYK3bs2CG24TeT8gaMjo52HT9+3L3NBx984EpNTXVlZWW5wtHFixdd9erVcy1YsMDVqVMnd7CE/VXcX//6V1fHjh1192V+fr6rcuXKrgkTJrhv4/2YkJAgDrRs+/bt4jW3Zs0a9zY//PCDKyoqynXkyBFXuOnRo4fr4Ycf9rjtz3/+szgBMewzT+oTf6D2z/vvv+8qW7asx3GMX8/169d3OR1pBJhaF4S83YEDB0K+zzAMV8Kys7Np3bp1IiUrrz/HX69YsYIi3YULF8TncuXKic+8rzg9K++vBg0aUM2aNd37iz9z6rZSpUrubbp27SoWXty2bRuFIx6W5GFHeb8w7K/ivvvuO2rTpg3dc889Yoi2ZcuW9NFHH7m/v3//fjp+/LjHvuT1pHh4XH6Nccqf70fB2/N7d9WqVRRuOnToQAsXLqTff/9dfL1p0yb69ddf6Y477hBfY58ZC9T+4W1uuukmio+P9zi2canCuXPnKBLOB1FRUWI/hXqfYSHdEnb69GlRDyCf2Bl/vXPnTopk+fn5ovbmhhtuoCZNmojb+IDDL3rlzSLvL/6eso3W/lS+F25mzpxJ69evpzVr1hT7HvZXcfv27aMPPviARowYQS+88ILYb08//bR4XQ0YMMD9GtF6DcmvMQ60ZLGxsSKoD8fX2PPPPy8uNvjCJCYmRhyzXnvtNVErwrDPjAVq//BnrhtT34fyvbJly1K4yszMFDVMffv2dS+cG8p9hmAJbJ0t2bp1q7iCBW2HDh2iYcOG0YIFC0TxIpgLwvlK9B//+If4mjNL/DqbMmWKCJaguC+//JKmT59OM2bMoMaNG9PGjRvFhQwX3WKfQbDxaMK9994riuT5QqckYBiuhFWoUEFcqalnc/HXlStXpkg1dOhQmjt3Li1evJiqV6/uvp33CQ9dnj9/Xnd/8Wet/al8L5zwMNvJkyepVatW4oqKP5YuXUqTJk0S/+crKOwvTzwbqVGjRh63NWzYUMyglF8jRu9J/sz7XcazLXlmTri9xhjPJuXsUp8+fcQQ94MPPkjPPPOMmL3KsM+MBWr/RNKxTR0oHThwQFwUKlmlUO8zBEsljFP/rVu3FvUA8pUvf92+fXuKNHzlwIHSN998Q4sWLSqWPuV9FRcX57G/eOyZT3TK/uLPW7Zs8XgTKW8y9UnS6Tp37ix+V77SVz44a8LDI8r/sb888bCuuh0F1+LUqlVL/J9fc3wQlV9jPATFNRDya4wDdg5WFfx65fcu16GEm8uXL4s6EBlf5PHvy7DPjAVq//A2PN2eAwj52Fa/fv2wHILLKQyUuMXCzz//LFp9yEK6zywWrEOQWgfwrIhPP/1UVPcPGTJEtA6QZ3NFiscff1xMr12yZInr2LFj7o/Lly97TIXndgKLFi0SrQPat28vPtStA26//XbRfmD+/Pmuq666KuxbByjk2XAM+6v4jJrY2FgxHX737t2u6dOnu5KTk13Tpk3zmObN78Fvv/3WtXnzZlfPnj01p3m3bNlStB/49ddfxWzEcJkGrzZgwABXtWrV3K0DeKo3t+MYOXKke5tI32c8I5VblfAHn1rfeust8X9l5lYg9g/PoONp8A8++KCYBs/nDn7tOrV1wEWDfZadnS3aK1SvXl0cx+XzgTyzLVT7DMGSTbz77rsiAOB+S9xKgHtGRCJ+w2h9cO8lBR9cnnjiCTEdlF/0d999t3gDyf744w/XHXfcIfpp8EH92WefdeXk5LgiMVjC/iruf//7nwio+SKlQYMGrqlTp3p8n6d6jx49WhxkeZvOnTu7du3a5bHNmTNnxEGZ+w1xW4qBAweKg384Sk9PF68pPkYlJia66tatK/rjyCetSN9nixcv1jx2caAZyP3DPZq49QXfBwewHISF4z7bv3+/7vmAfy7U+yyK/wlEugwAAAAgHKFmCQAAAMAAgiUAAAAAAwiWAAAAAAwgWAIAAAAwgGAJAAAAwACCJQAAAAADCJYAAAAADCBYAgAAADCAYAkAAADAAIIlAAAAAAMIlgAAAAAMIFgCAAAAIH3/D+4tStQSJCJ2AAAAAElFTkSuQmCC", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "Fmax = ISRs148.max()\n", "ISRs148_noisy = ISRs148 + np.random.normal(0, 0.04*Fmax, len(ISRs148))\n", "plt.plot(taus148, ISRs148_noisy)\n", "plt.savefig(f\"gallery/{figprefix}_realistic_function_noisy.png\")\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's try the blind fit:" ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "execution": { "iopub.execute_input": "2026-02-15T18:17:00.019124Z", "iopub.status.busy": "2026-02-15T18:17:00.018974Z", "iopub.status.idle": "2026-02-15T18:17:00.481151Z", "shell.execute_reply": "2026-02-15T18:17:00.480713Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Loading a FitFunctionMoG object.\n", "Number of gaussians: 3\n", "Number of variables: 1\n", "Number of dimensions: 3\n", "Number of grid points: 1000\n", "Domain: [[0.6097656250000227, 1174.24140625]]\n", "Iterations:\n", " Iter 0: loss = 25.3777\n", " Iter 10: loss = 24.2184\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ " Iter 20: loss = 23.8784\n", " Iter 30: loss = 6.11474\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ " Iter 40: loss = 3.78667\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ " Iter 50: loss = 3.2806\n", "FitFunctionMoG.fit_data executed in 0.3423311710357666 seconds\n", "Quality of fit (after fit_data):\n", " R\u00b2 = 0.881836 (1 = perfect, 0 = no better than mean)\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "F = mn.FitFunctionMoG(data=(taus148, ISRs148_noisy), ngauss=3)\n", "\n", "F.fit_data(\n", " advance=10\n", ")\n", "\n", "fig = F.plot_fit()\n", "R2 = F.quality_of_fit()\n", "\n", "plt.savefig(f\"gallery/{figprefix}_realistic_function_blind_fit_noisy.png\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The fitter is not able to detect properly all peaks in the signal." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For detecting the peaks we have the fitter mode **noisy** which soften the data and using the result find the guess position of the peaks and fit:" ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "execution": { "iopub.execute_input": "2026-02-15T18:17:00.511990Z", "iopub.status.busy": "2026-02-15T18:17:00.511805Z", "iopub.status.idle": "2026-02-15T18:17:00.931174Z", "shell.execute_reply": "2026-02-15T18:17:00.930658Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Loading a FitFunctionMoG object.\n", "Number of gaussians: 3\n", "Number of variables: 1\n", "Number of dimensions: 3\n", "Number of grid points: 1000\n", "Domain: [[0.6097656250000227, 1174.24140625]]\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "Iterations:\n", " Iter 0: loss = 1.6994\n", " Iter 10: loss = 1.42383\n", " Iter 20: loss = 1.3972\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ " Iter 30: loss = 1.39143\n", " Iter 40: loss = 1.38936\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ " Iter 50: loss = 1.38807\n", " Iter 55: loss = 1.38807\n", "FitFunctionMoG.fit_data executed in 0.3123137950897217 seconds\n", "Quality of fit (after fit_data):\n", " R\u00b2 = 0.950003 (1 = perfect, 0 = no better than mean)\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# In the noisy mode, you need to provide a guess for the number of gaussians.\n", "F = mn.FitFunctionMoG(data=(taus148, ISRs148_noisy), ngauss=3)\n", "\n", "F.fit_data(\n", " mode='noisy',\n", " advance=10\n", ")\n", "\n", "fig = F.plot_fit()\n", "R2 = F.quality_of_fit()\n", "plt.savefig(f\"gallery/{figprefix}_realistic_function_fit_noisy.png\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This is a good fit." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "There is a final option and it consist in leaving the algorithm to look for the peaks and fix the means in the found peaks. It's similar to multimodal but with the softening of the noisy mode." ] }, { "cell_type": "code", "execution_count": 24, "metadata": { "execution": { "iopub.execute_input": "2026-02-15T18:17:00.966487Z", "iopub.status.busy": "2026-02-15T18:17:00.966340Z", "iopub.status.idle": "2026-02-15T18:17:01.143933Z", "shell.execute_reply": "2026-02-15T18:17:01.143608Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Loading a FitFunctionMoG object.\n", "Number of gaussians: 5\n", "Number of variables: 1\n", "Number of dimensions: 5\n", "Number of grid points: 1000\n", "Domain: [[0.6097656250000227, 1174.24140625]]\n", "Iterations:\n", " Iter 0: loss = 1.70071\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ " Iter 10: loss = 1.55215\n", " Iter 13: loss = 1.55215\n", "FitFunctionMoG.fit_data executed in 0.06832098960876465 seconds\n", "Quality of fit (after fit_data):\n", " R\u00b2 = 0.944093 (1 = perfect, 0 = no better than mean)\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "F = mn.FitFunctionMoG(data=(taus148, ISRs148_noisy), ngauss=5)\n", "F.fit_data(\n", " mode='noisy_multimodal',\n", " advance=10\n", ")\n", "fig = F.plot_fit()\n", "R2 = F.quality_of_fit()\n", "plt.savefig(f\"gallery/{figprefix}_realistic_function_blind_fit_noisy_multimodal.png\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "If you compare this fit with the pure noisy mode, you will find that the nosiy mode, where the mean values are free works better." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Emmission line" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In the following examples we follow the procedures when testing the similar package https://github.com/gausspy/gausspy." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Single line" ] }, { "cell_type": "code", "execution_count": 25, "metadata": { "execution": { "iopub.execute_input": "2026-02-15T18:17:01.176803Z", "iopub.status.busy": "2026-02-15T18:17:01.176691Z", "iopub.status.idle": "2026-02-15T18:17:01.285895Z", "shell.execute_reply": "2026-02-15T18:17:01.285507Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Code adapted from: https://github.com/gausspy/gausspy/blob/master/docs/tutorial.rst\n", "\n", "import numpy as np\n", "import pickle\n", "\n", "# create a function which returns the values of the Gaussian function for a\n", "# given x\n", "def gaussian(amp, fwhm, mean):\n", " return lambda x: amp * np.exp(-4. * np.log(2) * (x-mean)**2 / fwhm**2)\n", "\n", "# Data properties\n", "RMS = 0.05\n", "NCHANNELS = 512\n", "FILENAME = 'simple_gaussian.pickle'\n", "\n", "# Component properties\n", "AMP = 1.0\n", "FWHM = 20\n", "MEAN = 256\n", "\n", "# Initialize\n", "data = {}\n", "chan = np.arange(NCHANNELS)\n", "errors = np.ones(NCHANNELS) * RMS\n", "\n", "spectrum = np.random.randn(NCHANNELS) * RMS\n", "spectrum += gaussian(AMP, FWHM, MEAN)(chan)\n", "\n", "fig = plt.figure()\n", "ax = fig.add_subplot(111)\n", "ax.plot(chan, spectrum, label='Data', color='black', linewidth=1.5)\n", "plt.savefig(f\"gallery/{figprefix}_test_single_line.png\")\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Our fit produces:" ] }, { "cell_type": "code", "execution_count": 26, "metadata": { "execution": { "iopub.execute_input": "2026-02-15T18:17:01.317208Z", "iopub.status.busy": "2026-02-15T18:17:01.317071Z", "iopub.status.idle": "2026-02-15T18:17:01.452487Z", "shell.execute_reply": "2026-02-15T18:17:01.451484Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Loading a FitFunctionMoG object.\n", "Number of gaussians: 1\n", "Number of variables: 1\n", "Number of dimensions: 1\n", "Number of grid points: 512\n", "Domain: [[0.0, 511.0]]\n", "Iterations:\n", " Iter 0: loss = 1.15533\n", " Iter 4: loss = 1.15392\n", "FitFunctionMoG.fit_data executed in 0.007342815399169922 seconds\n", "Quality of fit (after fit_data):\n", " R\u00b2 = 0.914505 (1 = perfect, 0 = no better than mean)\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "F = mn.FitFunctionMoG(data=(chan, spectrum), ngauss=1)\n", "F.fit_data(\n", " advance=10,\n", " mode='noisy_multimodal',\n", ")\n", "fig = F.plot_fit()\n", "R2 = F.quality_of_fit()\n", "F.mog.tabulate()\n", "plt.savefig(f\"gallery/{figprefix}_fit_test_single_line.png\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Complex line" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This is an example with a complex profile line provided by **GaussPy**:" ] }, { "cell_type": "code", "execution_count": 27, "metadata": { "execution": { "iopub.execute_input": "2026-02-15T18:17:01.476132Z", "iopub.status.busy": "2026-02-15T18:17:01.476006Z", "iopub.status.idle": "2026-02-15T18:17:01.571173Z", "shell.execute_reply": "2026-02-15T18:17:01.570301Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "import pickle\n", "\n", "def gaussian(amp, fwhm, mean):\n", " return lambda x: amp * np.exp(-4. * np.log(2) * (x-mean)**2 / fwhm**2)\n", "\n", "# Number of Gaussian functions per spectrum\n", "NCOMPS = 3\n", "\n", "# Component properties\n", "AMPS = [3,2,1]\n", "FWHMS = [20,50,40] # channels\n", "MEANS = [220,250,300] # channels\n", "\n", "# Data properties\n", "RMS = 0.05\n", "NCHANNELS = 512\n", "\n", "# Initialize\n", "data = {}\n", "chan = np.arange(NCHANNELS)\n", "errors = np.ones(NCHANNELS) * RMS\n", "\n", "spectrum = np.random.randn(NCHANNELS) * RMS\n", "\n", "# Create spectrum\n", "for a, w, m in zip(AMPS, FWHMS, MEANS):\n", " spectrum += gaussian(a, w, m)(chan)\n", "\n", "# Save spectrum\n", "data_to_save = np.column_stack((chan, spectrum))\n", "np.savetxt('gallery/complex-line.txt', data_to_save)\n", "\n", "fig = plt.figure()\n", "ax = fig.add_subplot(111)\n", "ax.plot(chan, spectrum, label='Data', color='black', linewidth=1.5)\n", "plt.savefig(f\"gallery/{figprefix}_complex_line.png\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "A free 3 gaussian fit produces:" ] }, { "cell_type": "code", "execution_count": 28, "metadata": { "execution": { "iopub.execute_input": "2026-02-15T18:17:01.574465Z", "iopub.status.busy": "2026-02-15T18:17:01.574227Z", "iopub.status.idle": "2026-02-15T18:17:01.803736Z", "shell.execute_reply": "2026-02-15T18:17:01.803387Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Loading a FitFunctionMoG object.\n", "Number of gaussians: 3\n", "Number of variables: 1\n", "Number of dimensions: 3\n", "Number of grid points: 512\n", "Domain: [[0.0, 511.0]]\n", "Iterations:\n", " Iter 0: loss = 7.41858\n", " Iter 16: loss = 4.34336\n", "FitFunctionMoG.fit_data executed in 0.07159280776977539 seconds\n", "Quality of fit (after fit_data):\n", " R\u00b2 = 0.822809 (1 = perfect, 0 = no better than mean)\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "F = mn.FitFunctionMoG(data=(chan, spectrum), ngauss=3)\n", "\n", "F.fit_data(\n", " advance=50\n", ")\n", "\n", "fig = F.plot_fit()\n", "R2 = F.quality_of_fit()\n", "F.mog.tabulate()\n", "plt.savefig(f\"gallery/{figprefix}_blind_fit_complex_line.png\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The fit is terrible." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For signals without an identifiable set of peaks we have an adptive mode:" ] }, { "cell_type": "code", "execution_count": 29, "metadata": { "execution": { "iopub.execute_input": "2026-02-15T18:17:01.807251Z", "iopub.status.busy": "2026-02-15T18:17:01.807162Z", "iopub.status.idle": "2026-02-15T18:17:09.475500Z", "shell.execute_reply": "2026-02-15T18:17:09.474670Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Loading a FitFunctionMoG object.\n", "Number of gaussians: 1\n", "Number of variables: 1\n", "Number of dimensions: 1\n", "Number of grid points: 512\n", "Domain: [[0.0, 511.0]]\n", " Iterations:\n", " Iter 0: loss = 30.5374\n", " Iter 1: loss = 30.5374\n", " Iterations:\n", " Iter 0: loss = 4.63307\n", " Iter 9: loss = 0.407061\n", " Iterations:\n", " Iter 0: loss = 4.34513\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ " Iter 3: loss = 4.34336\n", " Iterations:\n", " Iter 0: loss = 2.16846\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ " Iter 10: loss = 0.407061\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ " Iterations:\n", " Iter 0: loss = 0.482297\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ " Iter 10: loss = 0.0940742\n", " Iter 12: loss = nan\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ " Iterations:\n", " Iter 0: loss = 0.963279\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ " Iter 10: loss = 0.0925984\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ " Iter 17: loss = 0.0919247\n", " Iterations:\n", " Iter 0: loss = 0.113288\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ " Iter 7: loss = 0.091706\n", "FitFunctionMoG.fit_data executed in 7.629206657409668 seconds\n", "Quality of fit (after fit_data):\n", " R\u00b2 = 0.996259 (1 = perfect, 0 = no better than mean)\n" ] } ], "source": [ "F = mn.FitFunctionMoG(data=(chan, spectrum), ngauss=1)\n", "F.fit_data(\n", " advance=10,\n", " mode='adaptive',\n", " atol=0.99\n", ")\n", "R2 = F.quality_of_fit()" ] }, { "cell_type": "code", "execution_count": 30, "metadata": { "execution": { "iopub.execute_input": "2026-02-15T18:17:09.486442Z", "iopub.status.busy": "2026-02-15T18:17:09.486175Z", "iopub.status.idle": "2026-02-15T18:17:09.684401Z", "shell.execute_reply": "2026-02-15T18:17:09.684001Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = F.plot_fit(dargs=dict())\n", "plt.savefig(f\"gallery/{figprefix}_adaptive_fit_complex_line.png\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Strangely it uses 4 gaussians when we know they are only 3. We can drop one of the gaussians and sees" ] }, { "cell_type": "code", "execution_count": 31, "metadata": { "execution": { "iopub.execute_input": "2026-02-15T18:17:09.698657Z", "iopub.status.busy": "2026-02-15T18:17:09.698491Z", "iopub.status.idle": "2026-02-15T18:17:09.724289Z", "shell.execute_reply": "2026-02-15T18:17:09.723823Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Components before dropping: 4\n", " w mu_1 sigma_1\n", "component \n", "2 0.461092 247.068570 400.570528\n", "1 0.365791 219.962128 70.047311\n", "3 0.231150 269.652031 835.537774\n", "4 0.184882 300.656764 280.011978\n", "Dropped gaussian 2\n", " w mu_1 sigma_1\n", "component \n", "2 0.461092 247.068570 400.570528\n", "1 0.365791 219.962128 70.047311\n", "3 0.184882 300.656764 280.011978\n" ] } ], "source": [ "mog = F.mog.copy()\n", "mog.drop(2)" ] }, { "cell_type": "code", "execution_count": 32, "metadata": { "execution": { "iopub.execute_input": "2026-02-15T18:17:09.729513Z", "iopub.status.busy": "2026-02-15T18:17:09.729300Z", "iopub.status.idle": "2026-02-15T18:17:10.223131Z", "shell.execute_reply": "2026-02-15T18:17:10.222705Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Loading a FitFunctionMoG object.\n", "Number of gaussians: 3\n", "Number of variables: 1\n", "Number of dimensions: 3\n", "Number of grid points: 512\n", "Domain: [[0.0, 511.0]]\n", "Iterations:\n", " Iter 0: loss = 0.365494\n", " Iter 10: loss = 0.103776\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ " Iter 20: loss = 0.0921481\n", " Iter 30: loss = 0.0917869\n", " Iter 40: loss = 0.0917619\n", " Iter 50: loss = 0.0917459\n", " Iter 55: loss = 0.0917459\n", "FitFunctionMoG.fit_data executed in 0.3311729431152344 seconds\n", "Quality of fit (after fit_data):\n", " R\u00b2 = 0.996257 (1 = perfect, 0 = no better than mean)\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "F = mn.FitFunctionMoG(data=(chan, spectrum), ngauss=3)\n", "F.set_initial_params(from_mog=mog)\n", "F.fit_data(advance=10)\n", "R2 = F.quality_of_fit()\n", "fig = F.plot_fit(dargs=dict())\n", "plt.savefig(f\"gallery/{figprefix}_adaptive_fit_complex_line.png\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "---\n", "\n", "**MultiMin** - Multivariate Gaussian fitting\n", "\n", "\u00a9 2026 Jorge I. Zuluaga" ] } ], "metadata": { "kernelspec": { "display_name": ".multimin", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.12.5" } }, "nbformat": 4, "nbformat_minor": 4 }