{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Time normalization of data\n", "\n", "> Marcos Duarte \n", "> Laboratory of Biomechanics and Motor Control ([http://demotu.org/](http://demotu.org/)) \n", "> Federal University of ABC, Brazil" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Time normalization is usually employed for the temporal alignment of cyclic data obtained from different trials with different duration (number of points). The most simple and common procedure for time normalization used in Biomechanics and Motor Control is known as the normalization to percent cycle (although it might not be the most adequate procedure in certain cases ([Helwig et al., 2011](http://www.sciencedirect.com/science/article/pii/S0021929010005038)).\n", "\n", "In the percent cycle, a fixed number (typically a temporal base from 0 to 100%) of new equally spaced data is created based on the old data with a mathematical procedure known as interpolation. \n", "**Interpolation** is the estimation of new data points within the range of known data points. This is different from **extrapolation**, the estimation of data points outside the range of known data points. \n", "Time normalization of data using interpolation is a simple procedure and it doesn't matter if the original data have more or less data points than desired.\n", "\n", "The Python function `tnorma.py` from Python module `tnorma` implements the normalization to percent cycle procedure for time normalization. The function signature is: \n", "```python\n", "yn, tn, indie = tnorma(y, axis=0, step=1, k=3, smooth=0, mask=None,\n", " nan_at_ext='delete', show=False, ax=None)\n", "``` \n", "Let's see now how to perform interpolation and time normalization; first let's import the necessary Python libraries and configure the environment:" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Installation\n", "\n", "```bash\n", "pip install tnorma\n", "```\n", "\n", "Or\n", "\n", "```bash\n", "conda install -c duartexyz tnorma\n", "```" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "ExecuteTime": { "end_time": "2018-06-04T20:11:34.218034Z", "start_time": "2018-06-04T20:11:33.333919Z" } }, "outputs": [], "source": [ "# Import the necessary libraries\n", "import numpy as np\n", "%matplotlib inline\n", "import matplotlib.pyplot as plt" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For instance, consider the data shown next. The time normalization of these data to represent a cycle from 0 to 100%, with a step of 1% (101 data points) is:" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "ExecuteTime": { "end_time": "2018-06-04T20:11:55.992328Z", "start_time": "2018-06-04T20:11:55.987324Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "y data:\n" ] }, { "data": { "text/plain": [ "[5, 4, 10, 8, 1, 10, 2, 7, 1, 3]" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "y = [5, 4, 10, 8, 1, 10, 2, 7, 1, 3]\n", "print(\"y data:\")\n", "y" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "ExecuteTime": { "end_time": "2018-06-04T20:12:04.732798Z", "start_time": "2018-06-04T20:12:04.726293Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "y data interpolated to 101 points:\n" ] }, { "data": { "text/plain": [ "array([5. , 4.91, 4.82, 4.73, 4.64, 4.55, 4.46, 4.37, 4.28, 4.19, 4.1 ,\n", " 4.01, 4.48, 5.02, 5.56, 6.1 , 6.64, 7.18, 7.72, 8.26, 8.8 , 9.34,\n", " 9.88, 9.86, 9.68, 9.5 , 9.32, 9.14, 8.96, 8.78, 8.6 , 8.42, 8.24,\n", " 8.06, 7.58, 6.95, 6.32, 5.69, 5.06, 4.43, 3.8 , 3.17, 2.54, 1.91,\n", " 1.28, 1.45, 2.26, 3.07, 3.88, 4.69, 5.5 , 6.31, 7.12, 7.93, 8.74,\n", " 9.55, 9.68, 8.96, 8.24, 7.52, 6.8 , 6.08, 5.36, 4.64, 3.92, 3.2 ,\n", " 2.48, 2.15, 2.6 , 3.05, 3.5 , 3.95, 4.4 , 4.85, 5.3 , 5.75, 6.2 ,\n", " 6.65, 6.88, 6.34, 5.8 , 5.26, 4.72, 4.18, 3.64, 3.1 , 2.56, 2.02,\n", " 1.48, 1.02, 1.2 , 1.38, 1.56, 1.74, 1.92, 2.1 , 2.28, 2.46, 2.64,\n", " 2.82, 3. ])" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "t = np.linspace(0, 100, len(y)) # time vector for the original data\n", "tn = np.linspace(0, 100, 101) # new time vector for the new time-normalized data\n", "yn = np.interp(tn, t, y) # new time-normalized data\n", "print(\"y data interpolated to 101 points:\")\n", "yn" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The key is the Numpy `interp` function, from its help: \n", "\n", ">interp(x, xp, fp, left=None, right=None) \n", ">One-dimensional linear interpolation. \n", ">Returns the one-dimensional piecewise linear interpolant to a function with given values at discrete data-points.\n", "\n", "A plot of the data will show what we have done:" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "ExecuteTime": { "end_time": "2018-06-04T20:12:21.818043Z", "start_time": "2018-06-04T20:12:21.770509Z" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(9, 5))\n", "plt.plot(t, y, 'bo-', lw=2, label='original data')\n", "plt.plot(tn, yn, '.-', color=[1, 0, 0, .5], lw=2, label='time normalized')\n", "plt.legend(loc='best', framealpha=.5)\n", "plt.xlabel('Cycle [%]')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The function `tnorma.py` implements this kind of normalization with option for a different interpolation than the linear one used, deal with missing points in the data (if these missing points are not at the extremities of the data because the interpolation function can not extrapolate data), other things. \n", "Let's see the `tnorma.py` examples:" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "ExecuteTime": { "end_time": "2018-06-04T20:12:28.758315Z", "start_time": "2018-06-04T20:12:28.739802Z" } }, "outputs": [], "source": [ "from tnorma import tnorma" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "ExecuteTime": { "end_time": "2018-06-04T20:12:30.635914Z", "start_time": "2018-06-04T20:12:30.019513Z" } }, "outputs": [ { "data": { "text/plain": [ "(array([ 5. , 4.17809249, 3.5387693 , 3.06958033, 2.75807549,\n", " 2.59180468, 2.55831781, 2.64516477, 2.83989546, 3.13005979,\n", " 3.50320766, 3.94688897, 4.44865363, 4.99605153, 5.57663259,\n", " 6.17794669, 6.78754374, 7.39297365, 7.98178632, 8.54153165,\n", " 9.05975953, 9.52401988, 9.9218626 , 10.24155044, 10.47700754,\n", " 10.62485776, 10.68174158, 10.6442995 , 10.509172 , 10.27299957,\n", " 9.93242271, 9.4840819 , 8.92461763, 8.25067039, 7.46097301,\n", " 6.57858161, 5.64224479, 4.6909727 , 3.76377547, 2.89966325,\n", " 2.13764617, 1.51673437, 1.075938 , 0.85426719, 0.89073208,\n", " 1.22148967, 1.83147733, 2.66132882, 3.65021709, 4.73731509,\n", " 5.86179577, 6.96283209, 7.97959699, 8.85126343, 9.51700436,\n", " 9.91599272, 9.98916876, 9.73107126, 9.19820454, 8.45052464,\n", " 7.54798763, 6.55054957, 5.5181665 , 4.51079448, 3.58838957,\n", " 2.81090783, 2.2383053 , 1.92987303, 1.90500085, 2.12123175,\n", " 2.53078856, 3.08589411, 3.73877122, 4.44164272, 5.14673143,\n", " 5.8062602 , 6.37245184, 6.79752918, 7.0338503 , 7.05573627,\n", " 6.88356441, 6.54351135, 6.06175374, 5.46446819, 4.77783135,\n", " 4.02801986, 3.24121034, 2.44357944, 1.66130378, 0.92056 ,\n", " 0.24752473, -0.33162538, -0.79071371, -1.10356362, -1.24399848,\n", " -1.18584166, -0.90291651, -0.3690464 , 0.4419453 , 1.55623522,\n", " 3. ]),\n", " array([ 0., 1., 2., 3., 4., 5., 6., 7., 8., 9., 10.,\n", " 11., 12., 13., 14., 15., 16., 17., 18., 19., 20., 21.,\n", " 22., 23., 24., 25., 26., 27., 28., 29., 30., 31., 32.,\n", " 33., 34., 35., 36., 37., 38., 39., 40., 41., 42., 43.,\n", " 44., 45., 46., 47., 48., 49., 50., 51., 52., 53., 54.,\n", " 55., 56., 57., 58., 59., 60., 61., 62., 63., 64., 65.,\n", " 66., 67., 68., 69., 70., 71., 72., 73., 74., 75., 76.,\n", " 77., 78., 79., 80., 81., 82., 83., 84., 85., 86., 87.,\n", " 88., 89., 90., 91., 92., 93., 94., 95., 96., 97., 98.,\n", " 99., 100.]),\n", " [0, 9])" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ " >>> # Default options: cubic spline interpolation passing through\n", " >>> # each datum, 101 points, and no plot\n", " >>> y = [5, 4, 10, 8, 1, 10, 2, 7, 1, 3]\n", " >>> tnorma(y)" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "ExecuteTime": { "end_time": "2018-06-04T20:12:35.669511Z", "start_time": "2018-06-04T20:12:35.618974Z" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ " >>> # Linear interpolation passing through each datum\n", " >>> yn, tn, indie = tnorma(y, k=1, smooth=0, mask=None, show=True)" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "ExecuteTime": { "end_time": "2018-06-04T20:12:40.983934Z", "start_time": "2018-06-04T20:12:40.939403Z" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ " >>> # Cubic spline interpolation with smoothing\n", " >>> yn, tn, indie = tnorma(y, k=3, smooth=1, mask=None, show=True)" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "ExecuteTime": { "end_time": "2018-06-04T20:12:49.991750Z", "start_time": "2018-06-04T20:12:49.946734Z" } }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ " >>> # Cubic spline interpolation with smoothing and 50 points\n", " >>> x = np.linspace(-3, 3, 60)\n", " >>> y = np.exp(-x**2) + np.random.randn(60)/10\n", " >>> yn, tn, indie = tnorma(y, step=-50, k=3, smooth=1, show=True)" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "ExecuteTime": { "end_time": "2018-06-04T20:12:54.512719Z", "start_time": "2018-06-04T20:12:54.466686Z" }, "run_control": { "breakpoint": false } }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ " >>> # Deal with missing data (use NaN as mask)\n", " >>> x = np.linspace(-3, 3, 100)\n", " >>> y = np.exp(-x**2) + np.random.randn(100)/10\n", " >>> y[:10] = np.NaN # first ten points are missing\n", " >>> y[30: 41] = np.NaN # make other 10 missing points\n", " >>> yn, tn, indie = tnorma(y, step=-50, k=3, smooth=1, show=True)" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "ExecuteTime": { "end_time": "2018-06-04T20:12:55.641965Z", "start_time": "2018-06-04T20:12:55.595933Z" } }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ " >>> # Deal with missing data at the extremities replacing by first/last not-NaN\n", " >>> x = np.linspace(-3, 3, 100)\n", " >>> y = np.exp(-x**2) + np.random.randn(100)/10\n", " >>> y[0:10] = np.NaN # first ten points are missing\n", " >>> y[-10:] = np.NaN # last ten points are missing\n", " >>> yn, tn, indie = tnorma(y, step=-50, k=3, smooth=1, nan_at_ext='replace', show=True)" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "ExecuteTime": { "end_time": "2018-06-04T20:12:56.794963Z", "start_time": "2018-06-04T20:12:56.746945Z" } }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ " >>> # Deal with missing data at the extremities replacing by first/last not-NaN\n", " >>> x = np.linspace(-3, 3, 100)\n", " >>> y = np.exp(-x**2) + np.random.randn(100)/10\n", " >>> y[0:10] = np.NaN # first ten points are missing\n", " >>> y[-10:] = np.NaN # last ten points are missing\n", " >>> yn, tn, indie = tnorma(y, step=-50, k=1, smooth=0, nan_at_ext='replace', show=True)" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "ExecuteTime": { "end_time": "2018-06-04T20:12:57.782009Z", "start_time": "2018-06-04T20:12:57.733473Z" }, "run_control": { "breakpoint": false } }, "outputs": [ { "data": { "image/png": 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3w7/NaU7dOBO6fAim7GsJwQZYPIl+fEORytCXJB8m5kQMkccjuZJxhS/3f8mxpGMAeKQ2Z96oKTx0y0N4mD1y8oXi43UAl5EB99yjqyTHx+s8owYN9FpaCQlw4oS+v+HhknQsREWRAEcIUWqGD4chQ+Dhh3O3jR4NffrAxImQkp7C69Gv89rmN0hXV8Bigh2PwKEhuDfbx4ujezH90aKtsVPcysl5ZVmyWLJnCbN+ms2RpMMABPoFcrPxAD98V4usQ33hpG6bmxssWGB//k8/hUcfte81Kk47hBClQwIcIUSpSE3VvRvHj0PdurnbFyyAVWsy6PWP+cz8aSbnrpwDoNbpoRiRc0k+2qbEvR22PSwlPVe2JZvgQUvx6DubY6n79UYFZHvAgqicICdvD5HMrBKicnEW4EihPyFEkaxaBd272wc3Sin215/NNzc04a9r/sq5K+foHtCdpQO24PH1chJ2tcFi0QFASXo5xozR5yiNc5lNZnrVH8WU2nsYffNoHdwYgFsGDPg7uF8G8s+YKsrMKikSKETFkQBHiGquqB/CtrOnAC6mXaTvwr68vv0llHciBgZz+8xly8Nb2PbN7Ywfr4dwKqNOnWDXThNP3/Y0RrY3WAwd6Pj/Ak90hqa/5Zsx5WoFZ+uQWlycTo62FgmUIEeI8iHTxIWoxopSqTciAqZM0Ym1v/6qVwS/8c6tjPp6FLEXY232NKGUIj3d4NNPITq6PO5J8Vy4AB9+CPPmhWIEREJQFOpSM7jjNWi4Dx4NJaT+y2RZXsTNpN8uw8Md5wLlreBcnIVAhRClR3JwhKjGXM0nyZfga1hwv/N1LL2mkU0Wreq1Iv5SPBlZmZDtwZbHIjkSFUpEBKxdWw53pBgiIuCxx+Dq1dxt7u5QqxZcuJRGzXunknLzmwB0bdaVRcMW0bJey5xjrcFeYCDMmZM/aCnutHYhRNFIkrEQIh9XP4TtAqEaZ2D4OLjxRwD+3u3vzO0zl99P/84Ph6N49clenNkeSr9+urdiyJAyvxvF4kpwt+H4BsYvH8/J5JP4uPvw1t1v8Vjnx3Jq9tSvD/v26SnyxTm/EKLkJMlYCJGPq/kkOQm0zX+Ev9yig5vL9WHJKt68+0083TwJDQilxekpqBOh1KoF27bBxYtl2vwScSVZ+K4b7mL3k7sZ3X40VzKv8MSqJ+jxaQ+mRk4l5kQMAQG6F8eR8HC99lZeycmSdCxEeZAAR4hqLDw8fwKwm1v+fJL6jTKh7wvwUH/wPQPHe8EHOwlKH5Szj3UYKy1NX87OhiefrLwf4q4Gd3W86xAxPILP7/scXw9ffj7xM3O2zKH3Z72p0TrGaYAzZgw8/bQOcgwD6tUDsxmSkiTpWIjyIAGOENXYmDG6QJ27u/4Q9vcHX1+wXbB3/pavOT+6Odzxqi7Yt2EWLFyPT3Yzu0CooKTayshRcOcoWdhq5M0jmXTrpJzL6dnpnAv6n9MAB6B5cxg3Tg/3+frqoM9WZf7/CHG9kwBHiCrMlSngo0bpXpuUFD3csmSJngYeGAhGyHyeWD8CVeskYFAnZh7G5mkEBZrzVe693lbetgZ3QUE6uAsKKrwa8dCbhuLt5o2BzsH5w3sRK/581+n+cXH6vHD9/X+EuN5JgCNEFeVqHZaTJ/WCmTVq6MuJiXDpEpyo8S0MnMS1z3JMmHj+pSSnRfZcHfKpTIpaODA0IJTIhyKZfddsHuv8GAAbPP/G5LWTybZk59s/Lk4HlnB9/n+EuJ5JgCNEFeXqkNHhw9Cihf1xWZ3fhwfvA3MWZJsh24zK8qBXcC+nt1fUIZ/rVWhAKC/2eJH5Q+Yzrc1iDIsH7/zyDsOXDudyxmW7fW17cKrL/0eIykICHCGqKFeHRA4fhpa6vAsWZSGu1b9g4F/BUBA5Gz7dBBtnoT6LLHD17+IM+VzvHrl1DPXX/EAdrzqsPLSSOxfcyZ+pf+Zcbxvg2P5/AGrWrPr/HyEqktTBEaKKcrUOyz/+AQ0bwuR/pPPwiof5fO/nkO0GKz+CXeOdHicgI0MnD+88eYghXwzkWNIxAv0CWT16NS382lGrlu41M5vtj1uxQgc3339fMe0WoiqROjhCVDN//3v+bY6GRA4fhqbNLxIWEcbnez/Hy/DF8+vv7YIbGUpxzMNDT//2y7yJrRO30s2/G/GX4un+SXdm//guPnfP5deEmHzH3XQTHDpUAQ0WohqRAEeIKurSJejbFxo31pedDRkdOHWSmSd7sDF2I419GxP92CY+frF/tRpqKglrsb8GNRqw4aENjGg7guT0ZGZv/xsXO0+jz8I+xJywD3KaN9fJ3enpFdRoIaoBCXCEqIIsFvj0U3j1Vd1D4+0NR47YBykxJ2J4ZvVkjvTpzJHkvbSu35qYiTF0atKpyLOLqjPbasbe7t58OeJLegb21BsMC+lZ6UTFRtkd4+GhZ08dPVq+bRWiOpEAR4gqaMMGqF0bOnfWOSLNmulAxyrmRAy9P+vNe7+9AzXO0b5he35+5GeCawdXWJuvV/7+9ss1mAwT/+77b0zKHQALFpLTk/MdJ8NUQpQtCXCEqII+/hgmTsy93KED7N6de/mTnZ+Qnn1tfETBiLYjqOtdt3wbWUU4Wo8qNCCUu0//xM2eAwD498//Zv72+Xb7SIAjRNmSAEeIKiYxEdasgdGjc7fZBjgbj29k4a6F164xMCtv+jXvV+7trCqcLbh55VAob9+6hjf6vwHAE6ue4INtH+RcLwGOEGVLAhwhqpiICAgLg7o2HTLWAGfj8Y0MWjKIjOwMBrUcRPers3nSu+D6NqJgzgIcaw2cZ0Of5a273wLgL9//hXm/zgMkwBGirEmAI0QVYV136plndA6O7ZIMHTrAr+c2MGjJIK5mXeXhjg+zctRK6ux9kb6tJbgpCUcBTnY2JCTo6wAmd5vMOwPeAeDpNU/z3i/vSYAjRBlzq+gGCCFKzrrulHVphrNn9WXQM6COs4GzfQdD1lUe6fgIH97zISbDZFfFWBRPkyZw/rwu+ufhobclJED9+uDpmbvfM12fwWyYeXrN0zyz9hmy77aQnf03zp/X+wohSpf04AhRBRS07lTksUju+WIwuF9lYJPc4CYrSw+j3HhjxbS5qnBzg0aNdFBjZbtEg61Jt01i3kA9RPX3dZPxu/st6cURooxIgCNEFeBs3ak4cyRDPh/C1ayr3HR5ImGZOrixHtOwIXh5lWNDq6i8w1TOAhyAp259ig8G6WTj+LbP8pfNA/MVAhRClJwEOEJUAYGBDjbeEIkxejBXs64ysdNEngqYz949uS95GZ4qPXkDnNhY5wEOwBMhT/Cv2/8FwJ70Ndy54E4JcoQoZRLgCFEFhIfn6Ym57T0YOwDllsajnR5l/pD5dLzFZFcLRwKc0lOUHhwrP08/DAwAMi2ZvLn1zTJsoRDVjwQ4QlQBY8bApEnXgpxb50HYM2DOwmyYmdBxAibDRPv2sGePXn4BJMApTcUJcHoF98LT7AVKBznf7P+GFQdXlGErhaheJMARoopo1AiGTdqGxz3Pcq1jAIBNcZsAqFNH/8TG6u0S4JQeRwFOcHDBx4QGhLJmZCTmn8J5qP0ELFh4cNmDbDy+sUzbKkR1IQGOEFVE9OH9rKw1gIzsDMyGGbNhxsPsQa/gXjn72FY0lgCn9AQE6NXBAZTSCdyF9eAA9GoRSkDsFKbe/AlPhTxFenY693xxD9sStpVtg4WoBiTAEaIKiL0Yy/f1+nNZXWBgy4FsHL+RWb1nEfmQfZVia4CTmak/hJs3r8BGVyG2PTjnzoGPD9So4dqxN90Ef/xh8N7A9xjdfjSpGakMWDyAA+cOlF2DhagGJMAR4jr3Z+qf9F3Yl0yvU3Rr0oOv7v+KHkE9mNJjSr4lGKwBTlycLlBnW4hOFF/DhpCcDGlphc+gysta0dhkmFgwdAGDWg7iwtUL9FvUj7iLcWXWZiGqOglwhLiOJV1Nov+i/hxNOor5bGfWPvQdPu4+Tve3BjgyPFW6TCZo2lQPU7mSYGzLdskGd7M7S+9fSo/AHpxKOUW/Rf04k3qmbBotRBUnAY4Q16nLGZcZtGQQe87uIcD7JkIOrsXPy6/AY1q21B/Cu3ZJgFPa/P31MFVJAhwAH3cfvhv1HR0bd+Rw4mEGRAzgYtpFl85lXY/MZNK/bdcjE6K6kQBHiOtQelY6w5cOJ+ZkDIF+gTzm+SO3tGhQ6HHu7voDdflyCXBKmzUPx5UZVLYcLbq56ms/zr+1Ds63YuefO+nw1p3M+GlGgcUAreuRxcXpROe4OH1ZghxRXUmAI8R1JtuSzdhvx/LD0R9oWKMhP477kT//CKBNm8KPjYjQw1O//AJz58qHX2myDXCK0oPTrBmkpsKlS/qyNVA5eaghLPoBUhtwImM306Om02dhH6dBTkHrkQlRHUmAI8R1JDo+mm4fdWPZ/mX4efqxbuw6WtVrxYEDFBrgWD84L1/Wl8+dk2/4pam4AY5hQKtWub04doHKpSDYMxaUvpiWlcbGWMd1cpytR+ZsuxBVnQQ4QlRy1rwKIzCa2z++k22ndY2UV/u+SsfGHQFcCnDkG37ZsgY4RZ1FFRGhg5uuXfXjHJd34tS++yHbExQoFIfOO15+3OF6ZAVsF6KqkwBHiErMNq+CnrPAlAWAgYnEq4kAXLwIKSn6A7Yg8g2/bAUEwN69eimMOnVcO8b6+FoDz3zBDcDJUFiwkRpHxmPCxMLdC/nvb//NOd6aVHzuXP5DfXz0OmVCVEcS4AhRieX0utyyEFqu1RstJsjyzKlQfOAAtG6thzoKIt/wy1ZAQG4F48IeCytHvWqQ/3ifxFD+L2wBH93zEQBPr36ayf/3rV1S8ZUrOom8Xj19TJ06MH++XqdMiOpIAhwhKrH4eKDlahj6iN4Q8zfYMBv1WW6F4gMHoG3bws8VHq6/0duSb/ilZ906/XvfPtenaDvrPVMqd5irUaPcQOXhTg8zq/csFIp3To7iSv0tdsdlZoKvL7zzDowaJcGNqN4kwBGiEmvU+Re4/34wZcPmF2Dd27BlCkGm3ArFruTfgP6wmz8/t4chKEi+4ZcW61CTlatTtJ31ngUF6VyeJ57QvTy2j9HUHlN5ossT4JYOo+6BBvvtjo2PhxYt9Gw5IaqzUglwDMMYYBjGIcMwjhiG8YKD6ycYhnHOMIyd134eLY3bFaIqO3j+IKlDB4HHFdgxASLnAPl7XVwNcEB/UMbG6jyR2FgJbkpLcRO4C+tV69gRduywv94wDOYNnId33FDwToKxA6DmqZzrAwN1jSMJcER1V+IAxzAMMzAPCAPaAqMMw3DUYf6lUqrjtZ+PSnq7QlQFzirPnko+xd2L7ybVcoGGFwdR86f5GIaBYcD779sHJkUJcETZKG4Cd2G9ap065Q9wAMwmM+/3XoJxMhT8TsDYMPC8lBMcBQdDQgKkp5fobglxXSuNHpzbgCNKqWNKqQzgC2BoKZxXiCrNWeXZ+QsvMiBiAPGX4unm340665eyfp07Fgv06QN+NqsxXL2qP8huvLHi7ocoWQJ3Qb1q7dvrKeQZGfmPe2ScD12PfocpsTU02oPnhHuZ93/pjBmjk40DAuD48eLcGyGqhtIIcJoBJ2wun7y2La/7DMPYbRjGMsMwHE5oNQzjccMwthmGse2cozmPQlQhDoc1Mq7yTMw97D27l9b1W/NO11UkX/AhJERf/8AD8OWXufv/8Qc0bw5ubuXXbpFfWSVw+/jADTfoxGVHkhLq8f2otTTxbUJ6kygWWQYyZ/McYk7EyDCVqPZKI8BxNCFS5bn8HRCslOoArAc+c3QipdR8pVSIUiqkQYPC19UR4nqWb/jCyIb7RpPeeDPNajZj3dh1bFpbjyFD9BAWwLBhsHZtbjViGZ6qHMoygbtTJ9i5M//28+fh9Gnod2sQq8esxsfNhw3HNzBtwzT6LOyDb5sYjhwp+e0Lcb0qjQDnJGDbI+MPJNjuoJS6oJSyjgZ/CHQphdsV4rpmN3zhHw0TQ6HNckzptVk7di2BfoGsWAFDbQZ869eHbt1g9Wp9WQKcyqOsErid5eFs3aqrH5vN0LFxR0a1HwXoasdpWWmkNY6SHhxRrZVGgPMb0NIwjBsMw/AARuOmnmUAACAASURBVAIrbXcwDKOJzcV7gAOlcLtCXNfCw/WHE/4x8PCd4P8bKHio2Rxubngz587B7t1w1132xz3wACxdqv+WAKfqcxbgREdD9+65lyd2moiH2QPQQU7tupkS4IhqrcQBjlIqC3gaWIcOXJYqpfYZhjHTMIx7ru32jGEY+wzD2AU8A0wo6e0Kcb0bPRpq1ADPPv8G87UlGAwTrTpcBGDVKujXD7y87I8bNgx++EGvQC0BTtXXsSPs2qV7hmxFR0NobjkkQgNCiRofRViLMAC+PB3OnlTHC3MKUR2USh0cpdRqpVQrpdSNSqnwa9teVkqtvPb3FKVUO6XULUqp3kqpg6Vxu0Jczw4cAM9Oy0i/4VqHpzLhRu4SDHmHp6zq1oXbb4fly+HIEbjppvJrsyh/devqZReOHs3dlpkJ27bpISpboQGhfD/6e/7W9W9kWjI40+tetp/YU74NFqKSkErGQlSQ/63ZyIVeOlHj8c6P8/dbZuOzLJK2tUK5cgU2bIBBgxwfGxAAjzwCaWl6mQZXlgUQ16+8ica7dunZVbVr59/XMAzevPtN7m97P3glM/BzXXJAiOpGAhwhKsCO0zv44NJQLEYGT9/6NB8M/oA3h02hQ51QgoL0ekIZGbBmTf5jIyJg0SL9LR5cXxZAXL/y5uHkzb/Jy2SYWDhsIXWSe3L2agJhEWEkXU0q+4YKUYlIgCNEOTuaeJSwiDCyzCkMvfEB3gl7B8MwiIjQww6XLunCf+npjgOXqVN1gT9briwLIK5fRQ1wALzcvLg/ezmNTG3Zf24/Q78YSlpWWtk2VIhKRAIcIcrRmdQz3L34bs5cPoPv2T58OXIhJkO/DF0NXIq7LIC4fhUnwAFo36IO/f5cS7Oazdgcv5lx347DoiyFHyhEFSABjhDlJDk9mbCIMI4mHaUJnZng9S2ebp4517sauJRkWQBxffL310OSp0/DiRM6EG7RovDjWrSA04cCWDNmDbU8a7Fs/zL+vvbvKJW3FqsQVY8EOEKUg/SsdIZ9OYwdf+6gRd0WBG9Zw8C+Ne32cTVwKatlAUTlZRi5icYxMbr3xnBUQz6Pli31TLv2jdqz/MHleJg9ePfXd/nrmr8yd/NcYk7ElH3jhaggEuAIUcayLdmM+3YcG45voLFvY74dvo7dMQ3p0cN+P1cDl7JcFkBUXtZhKleHp0A/N/78U8+2631DbxbeuxCAeb/Ny1nSQYIcUVVJgCNEGVJK8eCyB/lq/1f4uPuwZswaTu1tTufOeqaUraIELmW1LICovIoT4Li56efRsWP68oM3P8jAFgMBsGAhPTudqNiosmmwEBVMAhwhytCjKx/l6wNfA7on52rmVdavh759He8vgYtw5tQp+PZb+O03/bxwtSxAixb2q4pP6zkNN5Neft6iLNT1rlsGrRWi4kmAI0QZeTPmTT7Z+UnO5SxLFlGxUQUGOEI4EhEB06dDdra+fOKE67WPrHk4VqEBofw0/idCmoQA8ELkC+w5I9WORdUjAY4QZWD+9vn844d/AOBh8sBsmDHjwVuTe7FzJ4waJYX5hOumTtUlA2y5WvuoZUvyLbrZPbA7MY/GMKz1MC6mXeTuxXdzLOlY6TVYiEpAAhwhStnnez7nyVVPAvBe2HtETYjivjqzMBZFcu53vTpifLxUHxauK0nto7xDVFZuJjeW3LeE3sG9OZ16mv6L+vNn6p8la6gQlYgEOEKUopWHVjLu23EoFHPumsPTtz1NaEAov7wxhfQjoXb7SvVh4aqS1D7KO0Rly8vNi+Ujl9O5SWeOJh1lwOIBXEy7WPyGClGJSIAjRCmJPBbJA189QLbK5oXbX2BKjyk510n1YVESJal9FBgIZ87oqeKO1PKsxZoxa2js3opdZ3ZR56l7CLzxqtPexYgICA4Gk0n/ll5IUVlJgCNEKYg5EcPQL4aSnp3OUyFPMafPHLvrpfqwKImS1D5yc9OByNGjzvf5cXlDLr73AyQ3g6DNnOj6II89kZUveImI0EOrcXF6vTRZ6FVUZkZlLdkdEhKitm3bVtHNEKJQO//cSe/PenMx7SLjOoxjwb0LctaXsoqIgIkT9QKaVj4+UqBPlI/Bg+Gxx2DoUMfXBwfrYIUG++HhHuCTCDvHE7jjE+JiTfn3yyMoSJc1EKIiGIaxXSkVkne79OAIUYDCuuMPnT9E/0X9uZh2kWGth/HJ0E/yBTegg5hBg6BWLak+LMpXRARs2gT33ut8SClnqPRcW1jyPWT4QMfPiL/rTqLjo/Pv5+x4ISoRCXCEcKKw7vhvDnzDbR/dxrkr5+h/Y38+v+/znAJqjly9Cp99JkX8RPmxPodTUvRlZ0NKAQE2F052g8jZoICgLdz5WW6QI0Ot4noiAY4QThRUe2TFwRWMWDqC5PRkTIaJf3X/l93K4HkpBb/8Al27lnGjhbDhav2crl11L2UO9zRQekOWJYuXol4CdFKzu7v9sbLQq6isJMARwgln3e5xl2J5eMXDKHT+moHBL6d+KfBchw9DzZrQpElpt1II51wZUtq+HaKi4K23cntiGl7thYfZE9O1j4gNxzcwI2oGY8ZAjx76uQx6fxlqFZWV8/50Iaq5wEAHCZV1jmKeeBdJaUkYGJgMEx5mD3oF9yrwXFu3QrduZdZUIRxy+BxG54IFB+tAx2zWw1bPPKN/2reHhR+GklY/kqjYKDKyM5i5aSbTf5qO2WQmLW0aK1fqpOWvv4YOHcr9bgnhEunBEcKJ8HCdEJyj3iGMR3qS7RtPqH8o68auY1bvWUQ+FEloQKjT84AEOKJiOKqfYzbDpUu5uWVZWbBgQW5ezs03w549es2qKT2m8EqvV1h470JMhomXNr7Edp85tG+v11Nbv77c75IQLpMARwgnOnSAOnWudds32Idp4p2omgn0DOrJurHr6HdjP6b0mMKxTaGFFj7bulXyb0T5c1Q/p3bt/PvZ5uW0bw979+Y5T4cxLBi6AAOD9Dum8uGBf0uAIyo9CXCEcGLZMpgwAVb+sgufSb2w+JzhrhvuYvXo1dT01EkIrhQ+u3IFDh2CTp0q5n6I6m3MGD1rzzp7LzHR8X7WvJz27XUPTl7jbhnH34I/BWUwJXIKe2q9xpYtkJFRVi2vXKSC8/VHAhwhnPjqK+hw9+/ctfAurnAez/gBrHxwFTU8auTs48osle3bdbe/l1c5NVyIAhQ21fvmm/P34Fg1TBjP3WmfYGAwI/pf+IW9wdatZdPOykQqOF+fJMARwoH9++G81y/87fe7SLyayJBWQ7hx23J2bfe228+VWSqSfyMqk8LWtQoKgosXISkp/7F798LI1hP46J6PADjZ9jmei/wbczfPJeZETBm3vOK4Ot1eVC4S4AjhwH++2sKle/pxKf0S97W5j2UPLOP+YZ4sW2a/nyuFzyTAEZVJYetamUzQrp3jXpw9e/QQ1iOdHmH+4PkA/GZ6l6kbptJnYZ8qG+RIBefrkwQ4QuQx79d5LMi+iwwjhZE3j+SLEV/gYfZgxAg9LdZ2+bbw8DwF0shf+EwCnPwkn6Fi5c3LyVvHxlGicWamrufUtq2+/FiXxxjS8l4AFIq0rDQ2xm50epvFfcwrw3NFKjhfnyTAEcLG9I3TeXrN0yhzJmbDzKRbJ+Usv9Cunc6jsV0DtkYNaNpUv9EZhq7y+uSTuR8YJ0/qD4bg4PK/L5WV5DNUfo4SjQ8d0s9zb5tR2ik9/olh8QB0kLM5bjMZ2fmzjov7mFeW50p4OHh42G+TCs6VnwQ4olgqw7cqV7nSVqUU06OmM2PTDLvtm+M25/xtGDBiBDnDVOnp8Nxz8Mkn+o3XYoElS2DLltxeHmvvjV09nWpO8hkqP2stHFvW4SlboQGhPOkVReu08XiZvVh7dC2DlwwmJT3Fbr/iPuaV5bkyZozuuapbV1+WCs7XBwlwRJFVlm9VrnClrWlZaYz9diwzfpoBFgOy3cFixkz+CsW2w1Tvvqvf9Pr1y71++HC9sKG1PogMT+Un+QyVn3WIynY41lGAAzCxfygsX8DmRzbTsEZDfjz2I3cuuJPTKadz9inuY+50uZS48v2CdfkyHD2qf+rVg99+k+DmeiABjiiyyvKtyhWFtfXc5XP0XdiXJXuWQIYvfP4dfPoTbJiFsSiSY5vsKxTv369zFsxmeOEFuPNO+3ObTPDiizB7tr4sAU5+ks9Q+TVooIdkTp3K3eYswDlwAP74A27zD8Hts2gaubdgx587CP04lIPnDwLFf8wLur48v2D9+CPcdpsukti8ORw7Vna3Zet66imvlJRSlfKnS5cuqrJZvFipoCClDEP/Xry4oltUMQxDKf3WYv9jGBXdsvyPkaN2Wtt64NwB1fyd5orpKPPz/opGO/PtFxRkf24fH/vrfXzyPw8yM5Vq0ECphg31PgEB1fe54sjixUp5exf+fxQVq08fpdasyb0cHKzUoUP2+zh6TXjXO6tunHubYjqq7qt11c/xP6vFi5Xy8Cj6Y+7o/M7ef2xfq6VtwgSl3nlH//3gg0pFRJTdbVm5+n4jlAK2KQdxRIUHMs5+KluAI0+2XM4Ch7J8g3GFo8fI2U/DbuuV31w/xXRUl//roqiZUGjQ5ur9Lu6beXXy6KO5j5W/v/xvKqPJk5V67TX9d3Kyfryysuz3cfaaCLgxVQ2KGKSYjvKa7aW+PfCt6tpVqXr19GvKMJT66CPX2mH7ui7sS0tZyMrSX1hiY/XlKVOUmjWrbG7LVmV9n62MnAU4MkTloutpWKashYfr2UK2KsOMAkePEeRP8DW6fMSFAQO4lH6JYa2H8dOEn2jk08ThOW27yF3NI5g6NX/5+ur6XHEmNVXnMHXvDosXSz5DZWSbaLx3L7Rpo4dmbTl7TZw8VoPlI5fzaKdHSctK476l97Gr4fNMXDCXn+NiGDrUPr+nIGPG6HXhNm/Ww8NBQY73K6shzpgYPVPServlNUQluWolJwGOi+TJlmvMGD0e3LChvuzvXzlmFDh7LJS69uYU8DMeT/REDXmMbLKoufuffDtqGTf41+DiRfD0tD8ub9Dmah6BPFcKZrFAZKRejbpdO9i3r6JbJByxrYXjLP+moNeEm8mN+UPmM/3O6ViUhbQu/+H17bog4O0jY/joI9fbcvw43HCD/ruwSsylbcUKuOee3MvlFeBIrlrJSYDjInmy5Tp3Ds6e1R/Y3bvDokWlH9wUJ7nO2WMRFATvrF2B6dGeZDS5Nu17ywukfPMqKBPnzulenkcecV7dFVx/Y5XnSsF279bJmkFBEuBUZu3awcGDkJXlPMAp7DVhGAav9HqFdqZhoHStnKtZVznlt4yTJx0v6pnX1at66Ygm1zpZ81Zi9vQs2y9YK1fC0KG5l8srwAkPz79+XWXoKb+eSICDax+m4eGFf8OvLtasgT599P/D2crDJVHcaeiO3my9fRSDXljCyK9HYlEWvdFigrRadvulpcHq1QVXdy2sxH1B7aiuzxVH1q/XvTdQ8MKOomLVqKGDiqNHnQc4eV8ThgFvv53/NeG943ncTblvoP+3/X+ETFzMxx8X3o7YWP3lwLZiuLUS85Ur+rXVq1dx7mHhDh7Ut9G5c+42f384c0bXwSpLY8bAo4/m3m9n7zfCuWof4Lj6YTpmjO6mrFlTX27cuPo+2b77DgYP1n+XRYBT3HynMWPg+ed1fpBhgH+rC3SYOZL/nhlDWlYaJsOE2TBDtifE9sp3vCtDSIWVuLfu40ogVF39+GNu7SBrD46r+RiifFlf384CHLB/TQwblj/n7epVOPhjKN/fv5GXe75Mnxv6cDXrKitM4/jgzHjOJ6cW2IbYWOeVwL28dO/K0qVFvWcFs37pbdNG9x4tWZJ7nZsbBAToz4qyVqcOjByp2+Ls/UY4V+0DnKJ8mJrN8P77uv7JI49UzydbRob+gBo4UF8ujQAnbw+aszcOVwIQiwWefRa+P7SG7Mfb80vqUmq41+DDIR+yecJmZvWeReN1kXAyNN+xpTmE5EogVB2lpUF0NPTurS83aqSDm7NnK7ZdwrGbb4YfftBBS6NGhe8/dqxOGrf188/6faJfm1Bm9J7Bj+N+5KMhH+Ht5k1664U0eqUzRtPfnfae2+bfODJqFHz+uePrijPUbfulF3RCfN4vvTfeqHu2ytr+/TBgACQk6KFCUTTVPsApSkLorl1wyy36W8q335Ztu0qqrApEbdoErVvnvtm1b6+/gVssxW9n3h40Z1wJQL7/8TIHmv+FgUsGcjr1NLcH3M7uv+zm0c6P0j2wO1N6TOE/k0NlCKmCREfrXpvatfVlw5BhqsqsfXu9NEn79q4tNzJwoH4sbV/H69fbV/s2DIOJnScyvek2jLPtsdQ+DBNDiWv8Do89rvK9VxXUgwNw11369o4csd9e3KFuV770llcezr590LGjntBx8mTZ315JVMaihNU+wHE1ITQtTX+TaN0aQkLg0iW9+Fx5c+VJVJZLKaxalTs8BboLtVat4nfXujq125UAZM3eGHZ27cjK0x/gbnLn333+zU8TfqJ5neZ2+8kQUsWxzb+xkkTjyisuDpKSICrKtQ8tT0+4/377IZ0ff8z/mAP8d0Zb1Pxf4NenwC0DwiZz9cEePLVsGjEnYnL2O3684ADHzU3f5hdf2G8v7lC3K196yyPASU/XwV2rVrlDVK4q72Cj0i7f46g4TmX4Ka9Cf2+9lb+QkqOibNu2KdW+fe7lp55Sau7ccmliDleLDZZVgSiLRanmzZXaudN++4ABSq1YUbxzOqtKalvUq0mTggvBpaanqoe+eUgx3VBMR7X/b3u18/RO5weIChMSolRUlP22999X6vHHK6Y9wrniFjfdskWpNm30+8W5c0rVrKlUenr+/exe+62/UUzxVUxH8QrKY5aH2hK3RSmlnzMxMYXfZtu2+jYdnr8IBQFdef9ctkype+8t+DwltWePUq1b67/HjlXq009dO64iitJWdFFCpNBfftnZeuHEUaNyizg1bOj42/zu3brYlNWwYbB8efm1FVz/RlJWdVgOHoTMTPv/AxRtiMH2m0VQUP7ZRlZBQfobyyOP6LWdHPWupGWl8c7Wdwh4K4CFuxeCUphw472w97il8S1FuWuiHCQm6l7P0DzpT+3ayRBVZVTcHpDu3XWP944dsGED9Oyp17XKy66X/OAw+O0pUIABGdkZjPhqBGuPrOV4rCqwBwf0cyo11T4fsF49x/sWNtTtyizI8ujB2bdPL+YLOgfJ1R6ciihKW1lrf1W7AMf2A7Z+fbhwQSfFxcbCc8/BM884/jC15t9Y3XmnXmDOdjG64rbD1S5EV59ETZs63q+kSbTW2VN5h49cTTTO240ZH69X6S2oKvKdd8JPP9lfn5Gdwf9t+z9avNuCyesmk5SWpK8wwDAU0Seii3cHRZnasAHuuCP/h53MpKqcivuhZRg62XjRIsdDklb5AomD90KWNwYmDAz+TP2TsIgwkob0IT7rtwJv02TSX7x69NB/N2oEKSnFqyNjHcJ2c3M+hG0NcFx5zhZ3uGjfPv3aAH3c8eOuHVcRwUalrf3lqFunMvyUxRBVTtedf7TijjkK/2jl7Z3bdffNN0oNHOj42N69lVq71n7b2LFKzZtXgnYUsQvRWTdgnTq5C0z6+yvl56eUu3vpdVFaF7AEvSZL3vP8/rtS7doVfh5n7a9Xz/kiprGxetFKi0WpzOxM9emOT9UNb9+gu7Knozr8r4N6dcurynOmt+Jls/Ke7a2i46OLd0dFmbB9/tSp4/h52LChUidPlnvTRAFKMuzwn/8oZTIVPsS8eLFSzZrp/QIDlXrlw2g1Z9MctfH4RvWfn/+jaoXXyXmt37/0fvXH+T+cnsfLy76dnp5K/eUvhT/3HElL0+dzNLRmVbeuUmfPFnyekgwX3XefUl98of+OjFSqZ0/X2l4Rw0WffZZ/SLA8199DFtu89sD7RyteclO8guIls+Lecar2oNfU/G3z1Yc/f6V8O6xXv53cro4mHlVrD69V4ZvC1c9x0apuXaVOn7Y/39dfK9WvXzHbUYwnoLOVdfM+sdzc7F/YNWuWLLgp7AV69WrhbwZKFX9MPDAoW72+dolq9V6rnDe71u+3Vl/u/VJlW7KVUko9GR6tQv85R4KbSsbVN/jevZVat65i2igcK+6Hc1GPs1iUql9fqVOn8l+35Jsk1fzxF5TXbC/FdJR5hln9ZdVf1HeHvlNzNuW+3gt7T/3mG6Xuusv1+75nj1I33VTwPiEhSm3dWvA+JQk2WrdWavdu/ffRozoAdMW4cfnfaz08yjbYWLhQ510VJ5gsDRLgqGsP+h1zdHAz3fUfY7qhzE91UROWT1Avb3hZfbT9I/XDkR9U+AcHFe6XFQHRqvbgOeqVD137cC3uB71SSr36qlJmc25vR716Bb+ADh/W344zM4v3P3P1Bdq6tVK7dpXOuayuZFxRM6JmKK9pjXIeixvfuVEt3LlQZWXbL2t8551KrV5dvPsoyo6rj/lf/6rUG29URAtFQay9b456V50pzod6nz6OX7/vvqu/rJ24dEI9uuJRZZphsntf9prtpaLjowt9T718WalatXTSsyuWLi08ifiBB5RasqTgfYr7Xm/tQUpL05czMnSQkpGRf1/bx6hePd2z9PbbuduaNlXK11ep334r+DaLKztbBzc//KAvf/qpUiNHls1tOeMswHGr4BGychUYCHGxvXQlW1MmKDPsmEBNr5rcP/YiSWlJRP+ehIdfEimmOC6mXwRAochuuJ0FO7fnP+lUQMFFYMYJM5vfnMiTd/elVb1WtKzXEh/3/Fm0gYGOp1W7Ml5Zp45Oil60SF82Ocmiso63tmihx283bID+/Qs/v7PzFLbdmoeTNwHZ1qxZMH68folb5R0Tz7ZkExUbRcSeCL7c9yVXMq+AG6AMXrjjX8zsPRN3s33STnIybN+u83VE5eLq86ddO/j117JvjyiaMWOKXj6hODkgHTvCzp0QFma/3Vrkz7+WPx/e8yHPhj7LiK9GsP/cfhSKtKw0Rnw1gtoD/knSppFw2b4aofU91cdHv/+tWAETJxZ+Hw4c0FWMC+JKonFx3+v/+EO/b1uXB3J319XzT5zQt2tlzWu0JhVfuKDzjurXt09KXrZM/2+9vHTeaGCgft8tjdIYK1boZT2suVZ33AEvvVTy85aGapVkHB4OPomhsGAjbJgNn/6Ez4b5/O/eN/h46Md88+A3vBy0kf7HdrJ6zGq83bwxG2bc8KJX2pvMHzyfaT2m8dAtD+F5uhckNtfrGhnoH1M2G1Lm88CyB+j4fx2pMacGAW8F0GdhH4Z9MYzBSwbzVsxbPP7PODDsK+O5Wmju55/h9ttzL7uS3DV6tH1diqJwNXnMlUTjrCwdcAUG2ifvjR6t2HF6B/9Y9w8C3w6k76K+fLrzUx3cWCkTNT1r5QtuIiL0OVNT9YyDCq+7IOy4+vwp7Vo4lbHoWHVRnIRTa4CTV94if20atOGjIR/hafbEQM92SEhJIKnrZPhHMxgzENovAffL+d5TR4zQH/Su2L8/dwaTM65UM+7fv3g1vRzdvqNaOI5mTKWl5Z8xlZ6ul5w4eVJ/wSyoTk1RXjtKwdy5eqar9X7eeKOueF/RM6iA0hmiAgYAh4AjwAsOrvcEvrx2/S9AcGHnLKs6OIV1ue7YobvblFIqOl4nvPWdEK0++8x+v5yux4AtiqleipdNipfcFcNHq3s+v0e1fr+1cp/p7nTYy/SSj/L4ayfF8NHKuHOmmjTvK7X3zF71U+xPdmPLebVokTsua70/hY13JyQoVbu2UleuFO//lTd5z9F4+rffOk/QVkqp1FSdTGgds46Oj1bPrXtOPb7ycdXm/TZ2/5vm7zRXL294WX2+53PlPdtbmWeYlTHNW335s/3/pCLqPYiicfUxSkzU3ei2dUzK+jZF2SjO/3/3bsc5Lx07Oh5asb43bzy2US3du1QNWTJEmae75Q5fTfVVd7zxkHo75m0166dZKjo+WiUn63zEpKTC70OHDrr2WUEiI/XQeF62nzEmkx6usV42DKX+97/Cb/+ll/SPrYceUurjj+23uToE5uqwoauPne19dHNTatEi++uHD1cqIqLw+1laKKscHMAMHAWaAx7ALqBtnn2eAj649vdI4MvCzltehf7yyszUL4ILF3K3tW2bv7id3RPGZlaW7RMmMztTHblwRI3/drwyrhWhYzqKF30LzfsxzTCpB5Y+oP7763/V+qPrVfzFeJVwOlv5+ekxT1uujJP36aOLUxXHfffp/0lB5z9yxHESXM4MGiNLeQXuVhPnzVeDIwbb/z+mo+q/Vl9N+n6SijkRoyw2n3LWN7J+j0SrDz+0P3dFF5cSrlm8OPfNvaA8jqZN9ay5kpLnRcUrau5ORoZS3t76i5Ct2rVdz5s5d/mcev+X91W3j7o5fD8d+dVI1WX8F+qNj4/bvcfklZXluC15HT+uVECA/bbCAoSRI10LcIYPz51BZfXKK/mDnpznus1nECgVGJypktOS1ZnUMyruYpyi/kFF4x2KzvMVA59StF+kqPuHwi9enU09q5LTklV6VroKDLLkO1fe144rQdAbb+hiuOXFWYBjKNuEiGIwDCMUmK6Uuvva5SnXeobm2uyz7to+MYZhuAF/Ag1UATceEhKitm3bVqK2FVffvnrBxoEDdXdfnTq6e886Hgr5xz5Bdz06KhIYcyKGPgv7kJGdgWHxYOjFSD6c25qD5w9y4PwBvos5QNS+g5gCo0lMS3TaLg/DG8/Ultx9ayt83HxIyUihR2APBrQYQIBfAL4evk6P/fhjWL1aFzYsqttvh1deKTiHx2LRSzacOgX7k2P4/vD3HNtfm6++u0RW4xho9it4puQ7zsDgoVse4sMhH+YbfrI1fz5s3pybewS6C9XRM8gwir82lih9x4/rcfnCakb17w+TJ+cuubjMPwAAIABJREFU5Fpc8ry4PnXpAvPmQbdu+vLFi3rV7uRk19bBsnUk8QhPrHqCDcc3OLy+YY2G3NbsNro264qvhy+JVxMJaxFGaEAoR47oz4DCCutlZenck+Tk3M8GZ4sFWwuXLl8O77wDGzcWfO7WbbP44LNETntFEhUXRYs6LTi0oyE7DyYSNjyRxKuJJKUlsfdYInvj41H1DgLXnvQWM5izC74BZ2xfN8qAuJ5wugtcCua7hTcQXDuYgd2DOXHUF/xjIDgKYnvBydCc+wg6n+6xx3T9uPJgGMZ2pVRIvu2lEOCMAAYopR69dnkc0FUp9bTNPnuv7XPy2uWj1/Y5n+dcjwOPAwQGBnaJK4/16B146SX9Bjl7Nvz+O0yYoCsZ5xURocc64+N18bInntBPXkf7Pfd2DH96R2HE9eLd50N5+unc67OzdR7JtA9i+Os2HQiZTWYmdppIelY6fyT+weELhzlz+UyB7a7jVYdAv0AC/QIJqBWAQnHhygW6+XejnV8owwfWZkd0HQIb1sbTLTdaizkRQ1RsFL2CexEaYF9mNilJvzjPnoUd5/R+dwTdwQ21b+BU8ilOpZziVPIpElIS+PDLU9Rvs58/Un5H4eB5dTEQToZS02hMRocPyLJk4WH2IPKhyHy3m9ehQ3rBvri43De7pk3h9On8+9q+0ETF+/ZbHWCvWlXwfn//OzRpAv/8Z8lur7APGVE5PfIIdO2q30dB5+SMG+daEVFHbL9YupncGNt+LPEXT7P+wC8o7wsOj2lWsxl+qjmJcY15IKwJjX0b06Sm/n029Sz7zu3j9oDbubXZrZhNZrreZuLLL0y0amnCZJjwq2WCJtvghg1wujNcuAk8UsEzlZVrUrlwOYVJk1N5fmoqJ9P2s//8fnw9fDEZJhKvJnLh6gUuXLnApfRLxfwvagYG3u7eeLt54+3uTeZVL84kpUCNMzpfVAFpdanj643JI4307HTSstLIsri4ZHlaLfBIAUOBxR2+joADI1AW/eacmQl16+qcHz+/Et0VlzgLcEpjFpWj2Drvp5sr+6CUmg/MB92DU/KmFU/37vCf/+i/d+1yPjPIdobB0qXw/vv598nt6QkFQlHAv/6le4Wsx5rNMGkSRC0OJXJOpNNg49Yel5j4/GE2ZrzOV/u+ygki6nnXIzUjlaS0JJLSkth1xj5sXrp/qf7jYWj1of7TyPLC26hN+hVPsmucAMOCYZi4pXEHfD18ybZkk62yOX/BgvFkNu3np3A06ajjwMXKHy7YdtIoIK4H/DIZTnaDFF1iOdWAn9940On9dKRVK524FhurZ1VkZOig0sND/20lq4JXPjt2QKdOhe938816tfqC2H6pcDYT5IEH9OvX9rubPC8qv7yJxtYZVMUVGhBK5EP530873KI4mXqMpBq/4nHH+2Q0yq18firlFKc4BfXgXVdm9T0AXb+xufyi813vsS4G2gdmbC3kvMrAx92bK1m5QwRt63QkfnNPnptUl7redanjXYe63nXZuv8Us7c/g8ktEw+zB2vGrKFnUE+MPN1e0z+KYWZcH5SRARYPXmmxiumP2r/3vvzRFmbF9gdTBig3+Gkq7mYPet4Ti1uD48RejOXQmVjwSs49yJwJDzyA+bI/477tRe/g3vQK7kXnLjcQE2MwYEAh97UMyRCVA9Zei8REvXxDs2bw/PMFH5OZqafvrVgBnTvnbnf122RSkr6devUcT+O7elVP/Tt7FnYn5n4zsfaAdPPvxrkr5zhx6QTxl+L5eMfHrD68OicgqWv2J/GsN3hdBK8kMLsYqTvh6+FLq3qtaFazmf6p1Yx9W5tx4uxFttd5kczsTLIzPOCzSDhp/yIq7jfpBx/UUx0nTICXX9a9a6NGFf6BJyrWkCH6MbvvvoL327oVnn4anL3sXRkWvnJFB0ojRugvHfHxusdvwQLdGyAqr02b9Je/mGsLib/1lg5y3n239G4jIkL3FOV8KfKPgfF9MLln4OnmwcdDP+az95sQ0PY0bW/9k9OppzmdepqYEzEcTcqdMuXr7ou3uzcpqRZMZgvuHhYsykJqWhrKyMztJblSH1NKEDfdUJMbA3zx9fAl6U9fog/vJ7VODAqFCRNjO4zlL7f+hXre9di0rh6rv6nNc2/9Yvc+v25MJH1vCiUlxX65k/nzYfm2GHqMK/wLY8yJGBZtiWLt/3pxbFP+/bKzwbdNDB4to0je3Qvfi6F88IH9e+qixRYmhK/GMmKELreCARk17IMeoJYKJEj1YkhPfzItmQxrPcylL7PF4awHpzSSjN2AY8AN5CYZt8uzzyTsk4yXFnbeikoytmrbVi9BUJQKq//+t850t+VqlvvixTob3Vni1qZNunKmlTX51tlsq+j46JwZSN6zvVXjkGibc1t0gcKaJxU3L1ZM89SzwKZ5qjp3v682xW5SW+K2qOj4GFWvw6/q263b1IIdC5TnLM+c8zm63SlTdHl0AqKVV785yqtltEszsFw1frxSNWrkzk54//3inUeUr2bNdCXWwnz4YcHJyK4s9VGrllJdu9of162b60Ugi1PYTpSOpCT9+s66VsPzmWeUevPN0r0Nh88hf12o1fqedtttenVyW3nfT637vvqqUv/4h97nwgWlarWLVu7T9bIxTNXvu3mfQ+npej+vWfnPp5T9DKq87/PBwbp4q61HHinakkFZWboYoKOlUbZs0TPIlFLqzBmd5H3+vP0+Z8/qJOwGnaMVPeaoxiHRauGibLX7z93qna3vqGFfDFN1X62bL9G7LJfRoSwrGQMDgT/Qs6mm/n975x0eRdWF8ffuphAIIB2kBFCqIoKoBARDF1ABKQoRFeFTsYONoqJCsIAKKl2sCU0QREGkg7KINEGKFCEQigGkE0jb8/1xdrN9d7Ilu9mc3/Psk8xk5s7dycydd849xbTuHQD3m34vBuA7cJj4HwBqe2oz2AJn0CCiTz8lpyUaXPHff3xBWG9fo4a2iA5PkR/vvkv0wgv5+w7WN4croWXvgW8tvHbsILrhBuft2ZOczBe9dbsxMZaSEb4+MLSGqwuhxalTXBvNU/i3lsgMt9ew3XVnvd9nnxH17eu5rxJeHnxq1iTat49/v+8+LrHgTzy9cBqNjlG0ZpyNf999R9SjB//+2mtETzzh+eWTiJ8vz7znfDtnEVRmEhKIVqywXXfTTZ5D2u3p3ZszDtszbBjRiBGW5UcfZRFnzVtvcf/dkWvMpfX7/yR9/655Akf/tp7Grh+bv45qJKACJxCfYAucL77gHAcVK+ZvvzZteEBXisVNnTqWonPuBk1PN9599xHNnev993EloNwJr/feI3rmGd/a91doroT+Fk6WL3eeK8QeLf9frdew/X6nT/M9efGi730QAkv37pZxrlEjzkvmTzz9j9PSiCpV0t7etm1s8Thxgl+G09K07Td8OJdecPbiV78+18JyxoABZJMu4+JFfp44K+HgjhkznIv+m28mMljprS1buH/mUj8ZGfxM3LNH23Fq322g6HecW6r8iSuBU6QyGeeHM2eAdevY50VrJtSUFJ4/vnCBb5ujRznT5cCB7Hdinb3X3k/EXfZPIsBgsM1gnF+SkthfwR0REbaOmMuWQbODmDfp2fNDoNsXAoNWB2Mt/9+kJL5GtWC9X/nyQOvWHM3lax+EwNK4MQd2ELH/jXUWY3/gbBy0dkDXUqLBmq1bOcrr+uvZD3PdOs/7pKRwtG1WFn9P66zCmZnsn1injvN97bMZb9nCztmRrjNsOKVDB2DFCtu0CampwL//AnfcYVl3223sG/rjj7z89dcc6ab1HHVqGI8ni63C6DajNUXL+h1nqicUPsG04HhrqvblDdDZMYsV4/V79/rnLdLev8B6+qhaNTbNmhMaXrzImWU9JbsyIxac8Mcb/5SHHiL66ivP29n/f+/COvoAL9Mz5Wfz6+y2bbRt6ibqFPsb9Sq/htpjBT1acSm9WfwD+hjPU3NscHtdzJ1L1L59/vog11jBY86IfuYMT/cHgrzkoyCqUMH2Op44kcdFre348zlRrhxRlSqWa85ZO19/TdSvn2X53XeJhgzR1l976tUj2rrVsvzZZ44+pERsxY+OtmQtfv117ccYPJinjAPt0waZotKOtwOdL1XCiWwfIGXL8g1evbr2G8dXPv+c6Pbb2Qlt4ULPDwRrAu2/IP4RwcXb81+vnucq8+b2byyWRoMwndaiNRm1zkWZPkaAfkEHGoCZVLfYEYd+ZWTw/XT8uP+/o+A/Dh/mjNabN3OZhkAyZYrjNM2TT7LvpRb8/Zyw/zi79tatI2rRwrLcvTvR7Nna+mvPc8+xQDJzzz1cRd0aX+4JZ36ZgbqfRODkA2+Fij/fAJOTifT6gh1sjUauw1WmDB/vuuvyd7xAR6BIhEvw8ObavnSJBziX/gHZ2RweOGwYOzK4EC6ndBVpOxrTFl0zOlUnnqh1a6K2bdnBzdXToU4dfn1csIALXRkMNK3WWOoQa3B7/cycaYnk0un4jV4oOIxG9peaPNnivBso0tP5WNY1+lq3Jlq5Utv+/n5OaLm/jh5lAUjE56pKFaJDh7R+Y1t+/JF9Ron4Xo2NJbpwQVtftTzTCtIiKgInH3j7j/HnG2AwzOUSqSS4wpvB3GAgcriNV6/mEI527VhBWzdWogRRt25Er75KVKwY5er0dAUx1BwG59ejwcAKSq/nC3foUN6/VClHoaQU5UDZtOfs2l661OIU/fjjXFNHKFhatybq2NH7qZf80KYNW6vNlC/v3spnjT+fE64+9vdXTg47J1+7xmKnQgXvC9SaRc3ly0SLFvEtaY8vsxK+zmjkBxE4+cBXs5w/rAwFeXGYER8EwRXVquX/2pg0ySqcNDOTBYh9A3XrEr34IodbXbtm2dlgoPevG2sjbpwe02AgGjvWNvQjO5to40ai0aNZrViFMRoBmoPepEOO0/6/+CJRUhL/vmwZ59ARCpbnnyeKjCT65JPAH2vyZItPiznaTqtg8Odzolw57fdX7docSj9/PtG992r8oi5ISCBasoTv048/dvy7WHDCUOAQBX86JBhiIxiiSgh9Ll7k/CSRkbbXRXS0+/ti0CCiSZ/ksJdxzZq2O+t0lgxpLvDb9bhqFV1DlI1fz240oF6YRzrk2mzasCH7fxDx1Fq5ckRHjuTzeIJPDBpk+T8Heuz99182JF69yrOl+RW0/npO5EcstW3LyWdfeYU1vC/07s3BJQBPfdkfz1cRV1A+bSJwChnBcHgUC45gxnrgLlaMTfnW6ypV4oHx/fddDPBGI71Sez5dqdnAciHVrMn2db2ep5YM7nNi+PN67FHZQCMwht7BSDoEi9jaHdmY6IcfiIxGSktjQWPOpEsk01QFTTCmyRMSeIpm6lTOMxMstIqlgQOJpk3jqbzly307npZz7YuIKyhDgQicQkhBW5EkikQg0n4dPPGEo5WleIyRVr3yM+U2vc2yslYtom++YeXgbErJx37k9ztFIpOewFQ6pqpaGr79dtr44Ec0q1GSTd9+/lmmqQqSYLxkTZpElJjImeLHjQvccfzF6NFsvYmN5fIW3hJOL7QicARNBHtqTgg+Wgc+++2ewBQb60i6vgo7OWRmet0Xf16P1m1FRhLN+uIqh0lVqpTXZyPAr7UmkZOVxSkbjh71/riCdoIxTT5pkuW49nlxQpFvv+Wp1Hr1fGsnnFwSROAIgqBJMGgd+MzbReMqzUUvG5Gwp90z9EivKwXxlfJNbi5HkecVVLxyhXI73WObe6dHjzxv0wED/F/0UXBOQVsVCqPV+o03bM+Lt30tChYcKdUgCEWElBROCX/kCA9l1inirXFXNsR++Sbswmbcjj6YDzKtz4Ee36yqisUri2sqcVLQ6HTA4MHA5MmmFcWLY1+fN5GpYrieCsB1Hfr0Ac6dQ58+wHffeW43JYVT6et02su7CLZ4KqXgb0aOBDIybNdlZPD6UCQlBRg/3rLs6h7WQkGf66DgTPWEwkcsOILgX7S+sWl6qzUa6Y9HPqWriCYCKBXV6SqiKQt6j7lmQoGzZzl65t9/eTkpiejjPib/oDfftISWVK9OP49YTzqde6tXYbQEhCoFOU1e2KZp/G11CReXBMgUlSAUbfIzmCcnWzL6Ogx8p05xAg5TA7NiB1EJXKaWOgMNg2PumlA1eQ8caMl5c/fdnOQvj3/+IbrzTiKAcqCjt/EG6ZHtUriEk7m/KFHY/m+FTZAVFK4EjuK/hR7NmjWjLVu2BLsbghA2XH89cPKk4/q4ONsKxQBw4QJQvTpw8aLdxsuXA48+ymWHy5QBZswAevYEwFMzzoYTpWyrFocK27YB3btzNehq1fgrlShhtUF2Nj4t/zaeuTgWOhAMiEciUpCKWg7nrLB9d4ExT9taT1MVLw5Mnw4kJgavX66oWZOnpexxdg8XJZRSW4momf168cERhDDG2i/k5EkgIsL2767m3NPS+KGfR2Ym8NJLQKdOrATuvhvYsSNP3ADafXdChaZNgago/p6XLwM33WTnyxAZiRcujUFbrMYxVEULbMSfuBVv4G30O/IusHFj3qY258qKUP3uApOYyGImLo7FaFxc6IoboIj4zfgTZ2adUPjIFJUg+IYzv5DISEta+PLlXc+5L13K9YCIiGjWLK7qB3CSvqQk22x4bo4Xyn4oycmcd9Bdf81TGGVxhhagR96GuVA2yQpbtSKKiCg8310ovISL34w/gURRCULRwlmESHY2EBsLvPoqMHSo6zfVtDSeosKECUC/fmz+UQqYOhUYMQLQ6x32KWxvwyNHAllZtuvsI2jMb8xnUQ49sQDfozsIgA4EXL0KLFuGRYuA48eBadOAqlV5P1ffXSKtBF9JTOTpKKORf4bq/RUKiMARhDDl6FHX6z3N2aelAfed/oJVkBmdDjh92u0xC9Pg6+78mLEVbQrJlV9Fjj46LyT+wDspeO6B43j4YeDxx3nfmBhg927n4kZLmL4gCP5BBI4ghCnufGLi4pw7KwIAiNBs8ZvotnggP4kjIthiExUFJCQEqrsFjlafIWvR9v3JeKx+fQ0+VC8jFTVQB/9gA8VjyQe7kZLCGrB2beDgQcd2C1vOFUEo7IjAEYQwJSmJNYk1ZodEV9EYyMoCHn0U3XaOBul0PCW1fj0wejSwahUQH18QXS8QvHXYfPKreLxC43AbtmEDWqAG0rDi2l1Y/NI6AECdOsCBA477abEYCYLgP0TgCEKYkpgIdOwIlC7t6BMTF8cPVpvQ5vPngc6dgW+/xRVVAscmLQaefJJFzfDhYSVuAO99hsyC5CzKoT1W4nv0QBmcxzfpHYF581wKnMIWZSYIhR0ROIIQxkREcKoae5+Y2FigWDHgzBnThkePAnfdBaxeDapcGR2j1qFs/67B6naB4Y3PkLUguYYY9MZ3+BTPIhpZwIMPokfqx06nqCTEVxAKFhE4ghDG7NsH1Kvn/G95fjjbtwPNm7NnbIMGOLf0d+wtfptt0jshD3uhYoQew2I+wfaH3gcAxH83FJ2WDXHI8Ge2GJnPa0QER7OFsiO2IBRmROAIQpiSkwMcOsQ+Ic7oWHIjyr/yGNCyJYeBJyQAGzbgCOI4RFxwitOprRkKTWa/CqSkgCIj0efEBKBDB/ZdskoImJgINGwI/PYb8M47HF4uCEJgkFINghCmHDwItG/vIhx840bk3JUAvTELCuCH8Y8/AtHRWLyYH+A//VSw/Q0XjCtXI6PDfYiFKWQqJibPQTs3l32ijh/n7Mk33wwcOwaxlgmCD0ipBkEoYribnsK4cYgwixul2HoTHQ3AKsmf4BW69m2xqOygvFw5uHoVWLkSAFvUypdnkVO1KhvP5s8PWlcFIawRgSMIYYpLgTN9OrBwIQDACMXexm3a5P3ZoQ6VkG92N3oIxshilhVLlgDXrmHnTuCWWyyrBw4EZs4s+P4JQlFABI4ghClOBc7UqRz6DeBUn2fxWeUkh/w2YsHxHWoej28HrAZeeAG47jpg0yagZ0/s3pZpI3DuvRfYv58/giD4FxE4ghCmOAicyZOBwYP5948+gn7ypxh1zTG/jQgc36lTB1ibGc+1vNav53mppUvReWYv3NogM2+7yEigf3/giy+C2FlBCFNE4AhCmGIjcD77DHjmGf594kRgyBCULcvFNy9csN3v2DEROL5Sp45VuYZGjdgHp2xZ3J7+Ezp90cemymfFisC4cVKAUxD8jQgcQQhDLl4ELl0yVbeeOBF47jn+w6efAs8/D8AS4mxdssFo5Agf8cHxjRtvtMtm3LgxrixehbMog5KrFwMPPQRkZyMlBXjrLT7vUoBTEPyLCBxBCEP27WMrgm7ix8CLL/LKSZOAZ5+12c6+JtWpUxzhU6wYBB+oUgW4coWFppmdulvxXIOV7JOzcCHQty9GjciWApyCECBE4AhCGLJvHzCUPgSGDuUVU6YATz/tsJ29BUf8b/yDUo5WnJ07gejmTYEVK1hFLliAsUcToUeOw/5SgFMQfEcEjiCEITdOfBb9d7zMC9OmAU895XQ7ETiBw77o5l9/mULEmzUDli8HSpVCH3yHrbgNLfGrzb5SgFMQfEcEjiCEGy++iOZbJnGiuchIdnJ1gQicwGEvcHbutPpX3HEHMH48CEBj7MRatEFzGABIAU5B8BcicAQhnPjyS3YqBjhLsdEIrF3rcvO4ONtSDiJw/Ie1wCGCQ5I/nDkDpeMhOAK5eBcjUK4c52GUApyC4DsicAQhXPj+e2DQIABAFiJBej0QFcVlGFwgFpzAceONllDxtDQuSVWhgtUG5vIYJpGTgHX46paPRNwIgp8QgSMI4cCKFUDfvoDRiPMvjEKv8uugRo92yFJsT+XKnAfn6lVeFoHjP6wtOA7WG4D/L6tWAWPGAG+8AQC4d81LwLffFmxHBSFMiQh2BwRB8JGNG4Hu3Tl53PPP44/Oo3B5pwKGuxY2ZnQ6FjRHj3JSQKlD5T8qVQKuXQPOn3chcAAWOSYB+m9mGVT+YCgwYABQtizQtWvBdlgQwgyx4AhCYWbnTqBLF06e8uijwMcfY99+5bqKuBPM01Q5OUB6uik5oOAzSlmsOC4FjhVlRw/BOP1rQG4u0Ls3YDAUTEcFIUwRgSMIhZWDB4GOHdlE0L078PnngE7nuoq4C8wC5+RJLpkUGRm4Lhc18iNwoqKAmTe8i3M9Huc5w3vvBXbvLpiOCkIYIgJHEIJISgpnE853HaJjx4D27dnk0q4dMHs2EMEzzt4InNRU8b8JBHXqcP6bw4eB+vU9b9+gocKqPtOA++8Hzp0DOnWy9QIXBEEzInAEIUikpHDdoSNH8lmH6MwZXLizI3DkCH7HnWi4fxFSFlhqK3hrwRGB43/q1AEWL+aIquhoz9s3aADs2R8BzJkDtGrFhcE6dgROnw58ZwUhzBCBIwhBYuRI5L8O0cqVuFK3MUqf2Iu/cDO6YCn2psXmCaMrV/hZGBenvR/melQicPzPoUPAnj3Arl3aLHQNGgB794Jjyhcv5nmt/fuB1q25KufGjQXQa0EID0TgCEKQcFVvyGUdorVrgU6dUOLcCRihMBxjcQ5lAViE0YEDwA03AHq99n6YLTjHjonA8ScpKcC4cZZlLRa6PIEDcFHOZcu4cufffwNvv83TkSJyBEETInAEIUi4qjfkdH1uLlcCNxoBAEbo0Ai7bDY5cgTo0IH9UvPjz1O1KrvyHD4sAsefjBxpyS9kxpOFrn59Ntjk5ppWVKkC9OuX93fj1WsY0WJN/vy1BKGIIgJHEIJEUpKjX4ZSwOXLdk7HRMBzz+VF1ORAjyxEYS0SHNo8c4Z/avbnAUdNVarEhgEROP4j3xY6ALGxHMlm41fcsydyI6JBAHQg1MH+fP1/BaGoIgJHEIJEYiLw0EP8UFOKc7sBwH//2Tod7+g9BpgyhdXQpEnY1Wc0ukStwu9wn8jPoz+PFXFx7LsjAsd/5MtCZ4XNNBUAxMejd/k1+BqPIgc6DMDX+B+m5+v/KwhFERE4ghBEypQBRo3imaeSJVnYWNMvYwYaL3iTTTqzZgFPP41b5w5HmxHxiIxkYeTOodidtcBMSgqwbRv/3qKFWAX8RVISVwa3RkulcAeBA2BRejwG4CsMxlQAwGQ8jS5Youn/KwhFFRE4ghBEDh7kUGLAUYzcjx8wFU/xwqRJwAMP5P2tYkWgf38WRqmprkWOJ2uBOVTdHM119KhMffiLxESuDB4XZxGiWiqFOxM45v/j5/gfxmAkIpCLeeiDrpW2BKbzghAG+CRwlFJllVIrlFIHTD/LuNguVyn1p+mz2JdjCkI4ceCAReBYi5EW2IA5eAh6GDGx9JvAU0/Z7Ld9O9CkiWXZW2uBV6HqgmYSE1mAmoWolkrhzgROUpIlMu4NjMbXeAQlkIF5GV3ZO1wQBAd8teAMA7CKiOoAWGVadsZVIrrV9Lnfx2MKQliQk8MPvdq1edksUhpiN37CvYjBNcyMeALlP3vLYV97geOttcAbR1ghsJgFjvV0ZY8eXMqBC6EqvFh8Bk7e3B4xF08BnTuz4xZ8yIwtCGGIrwKnG4CvTb9/DaC7j+0JQpHh6FGOXipmSkKcmAgkv5uGFfp7UAbn8aOuG2JmTkLiw8pmv+xsDqhq3Ni2PW+sBd46wgqBo0IFttakp1vWLV0K3HUXJ2NMTQUiikeh4rr5QKNGnLq6WzfM/vKad5mxBSFM8VXgVCKikwBg+lnRxXbFlFJblFK/K6VciiCl1BOm7bacltTkQphj7X8DADh7Fj2m3YPrc48h84678FTp2ejbP8Jhv7//5min2Fjf++Dt1JYQWOynqebNA/r04d/j4jh3kWF3aVY+1aoBGzag1LP9cTXDaNOOTDcKRRmPAkcptVIptcvJp1s+jlODiJoB6AdgglLqBmcbEdF0ImpGRM0qVKiQj+YFofBx4ADXKALAWYqbNuW8/jcbuc4+AAAgAElEQVTdhOhlixFVOgb79zvu9+efwK23+qcP3k5tCYHFWuBcvgz88gtPU5np1g344QewuFm6FChVCl0z5iMF/TAM76I5LNmOZbpRKKo4vh7aQUTtXf1NKZWulKpCRCeVUlUAnHLRxgnTz0NKqbUAmgD4x7suC0J4kOdg/OuvnILfaGSVMWYMUKYMWrQADAbHwpn2/je+kpgogibUsBY4S5Zw+H65cpa/d+sGPPggl4JQjRoBCxciu11H9MVc9ME8ZKIY2oFzJcl0o1BU8XWKajGAR02/PwrgB/sNlFJllFLRpt/LA2gJYI+PxxWEQs/Bg0CdGwkYOjSvBAN0urwnm1ng2ONvgSOEHtYCZ+5cy/SUmSZNgMxMnq4EALRti+N39gQA6EGIQiYSsFamG4Uija8C5z0AHZRSBwB0MC1DKdVMKfW5aZsGALYopXYAWAPgPSISgSMUeQ4cAOJ/fhPYYsplotNxqExCAgAgPt5R4BDxFJUInPDGLHAuXQJWrQK623kuKgXcf79pmspEuXdeRDYiAQB6GPEfymHSJLHOCUUXj1NU7iCi/wC0c7J+C4BBpt8NABr5chxBCDdycoBOhyajwv4xHDLz7ru8MiGBlQ2AW25h/4lz5zjjMcARNMWLc6I/IXypXh24cAFITgZatbL8/625/37Ogj3MlJxj3G/xiOq8Fq//NwTqjz/wQcQI/K1LAFC3AHsuCKGDTwJHEATv+G/afEzIeZYXpk8HHn/cYZuICOD224Hff+dUJ4BMTxUVZs8GsrKAp59m35uUFEdLTEICT1H9+y8XTJ00CdiypQVQfQPQoweu++kn1H2hM3DPRlHEQpFESjUIQkGzZg0qDEmEDsQOEk7EjZkWLbjKtxkROOGPuXxGdjYv//ef83w2UVFA/frATTdxBfKsLNOUZkQEMGcOLtZrhrLnDwH33gtcuVLg30MQgo0IHEEoSHbsALp3hy47C2tufg4YPtzt5vaOxv4MERdCE63lM8xFUs+e5eXLl62EUIkSiPrlJxxWtYDNm4G+fXkKVBCKECJwBKGgOHwYuOce4OJFbKvTB9sfncDeom5o3hz44w/Ls0ksOOGP1vIZI0ey1cYaayFULK4SRsf/jKySZYEffwSef96xXL0ghDEicAShIDh9GujUiR0m2rbF27W/QZ16nm+/smU5l9uuXdzE5ctArVoF0F8haGgtn6FFCNXvVg+fdVwMREcDU6YAH3zgn04KQiFABI4gBJrLl4EuXTguvEkTYOFC7D0Ubcli7AHzNNX27Tw95cHoIxRytJbP0CKE2rUDZuxuyeFYSnHI1axZ/u2wIIQoInAEIZBkZfFTZssWoEoVYOlS5BQvhaNHLVXEPWEtcGR6KvzRWj5DixC69Vbg1CngeHwv4MMPeeVjj3HI1bvv2nqwC0KYIWHighAocnPZcvPHH7x87hxw+DCOXKmMKlV41kAL8fFcvSEnh5sTwh8t5TPMfx85kqelatRgcWO9n14PtG3LyQIfGTKES4xPnAg8+ywnloyO5j+aci8JQjghFhxBCAREwODB/PAwk50NrF1rW2RTA1u38nNp7lyeYbAPFxaKLomJnPzRaOSfzkRRu3ZWl+GHH3JcOcA7ZWVxoVdBCENE4AiCvyECXn0VmDGDk5VER/OrtKkMQ16RTQ2kpABPPmkpVXXypPOcKILgivbtgZUrTQFUej3w2WdsvQH4wpK8A0KYIgJHEPxNUhIwfjwnXFu0CFizBhg9Om8qID8CR2tOFEFwxaZNQHo6a5uaNYGU4wnAzz8DlSuz6nnrLXaEF4QwQ3xwBMGffPIJ8MYb/IackmKpsWDl43DwINChg7bmtOZEEQRnmLMi5+by8pEjvIzpHZG4bRt7sP/xB9CrF7B4MVsZBSFMEAuOIPiLr78GXniBf58+HejTx+lm+bHgaM2JIgjOcGsBrFIFWL4cqFAB+OUXjq4yz4UKQhggAkcQ3JCSwmZ9nc5k3nfi+5KSAjxZ8XvkPsY1pbYmfgQMHOi0vexsIC1Ne4i41pwoguAMjxbAOnV4uio2lit8Dh0q2Y6FsEEEjiC4wGzeP3KEx3yzed9a5KSkAHMHLsenpx+CHka8hVFovXCISyfgI0eA66/XPhOgNSeKIDhDkwXwttvYVywqikPI33uvQPomCIFGBI4guECLg+/3L23AnMzuiEI2JuAFvI1Rbp2A8xsiDmgLBRYEZ2i2ALZrZ8l2PGIE8PnnBdZHQQgUInAEwQUezftffYWU9HYojqv4AgMwFB8BUC73TUlhcbJihevpLkHwJ9YWQAAoWdKNBbB3b85wDHBugkWLnLapZdpWEEIBETiC4AK35v3kZGDAABRDJnKgx0w8DrK6nez3NU93nTvHy86muwQhEJgtgL/9BtSr58ECOHgwMGoUmwv79OGL1Kqcg5ZpW0EIFUTgCIILkpI4d4g1xYsDk5/4k99wTRCA1vg1b1mvd5wCkHw2QrBp2hTYswe4etXDhqNGAd27s0f8jBlAmzZ5IkeuY6EwIQJHEFzQrx9QogRQujQvx8UB84dvRZfxbXlU1+kAvR4qKgprkQClgOrVgfLlHZ2IJZ+NEGxiYoAGDYBt2zxsqBTQrJllOTMzrwK5XMdCYUIEjiC4YPduFiu//grUrw+kzt2EzuPb8TxTt27A6tXA6NE4MnMVztaNh9HIA/3ixRwlXq0aa6BKlVwfQ/LZCAVJ8+ac2dgjbduyIjLz9dfAjh2Sl0koVIjAEQQXrFzJdXzq1QOqHNoA6tABuHAB6NkTmDcPuPtuYPhwbI6IR6NGlv0OHACuXQOOH2c/hVOnWOjYW3Ukn41Q0DRvDvz+u4YN4+O5tMjo0UDLlsClS0D79vj0yV0Om8p1LIQqInAEwQUrVrDAifp9PX7K6QR16RLw4IOcEM1Krfz1F2wEzsiR7L5gTW4uR7BIPhshmLgTOA7RUYfigddfZ6HTuTNw5gw6fdAW7arsyYvKqlhRrmMhdBGBI3ikKIaFZmXx1FTHiNVA584obryCf1o8zNFTkZE22/71F3DzzZZlV/4IZ89KPhshuNxwA7uPHT9uu95tdFR0NPD990DHjog6fxqLLrVF6rK/MW4cz9TKdSyEKiJwBLcU1bDQTZuA/pWXo3S/rkBGBnY2fQzTmn/FFcLt2LXL1oIjfgpCqKKUcz8cj9FRxYrB+P0i/BrVDrGX04G2bfFQ0/1YuBDIySmQrgtCvhGBI7ilqIaFHpmyFBMP3cfONP/7H468ORM7d+sdtrt0CUhP5zdjM1I/Sghl7rzTcZpKS3TUxj9j8FKdxUBCAnDyJKr1b4O7Kh/EunUB66og+IQIHMEt4RAWmu8ptvffR9/Z9yEiNwt45hlg6lQ0aqzDX385brpnD0dYWefLkfpRQijjzIKjxeo4fz7QtXdx4KefgFatgBMn8HVaG6yZeShwnRUEHxCBI7gllKZbvPEFyvcU20svgYYNgx5GUEQEJ8PR6RAXx9aas2dtN7d3MDYj9aOEUOWOO4CtW22nlsaMYTFujbXVkQhYsADo1QucHGrJEqBlS5S6cAzPzWkB48uv2mQ8FoRQQASO4JZQmW7x1hdI8xRbTg7w/PPARx/BPM4rIpjt70qxI/EuuyhZVwJHEEKV0qXZqmhtkSxWDKhdm19clOJlawfizZtZ1zRsaNqhZElg6VLgpptQidKhPhzHuXNE5AghhAgcwS3m6Radjge+qKjgTLd46wukaYrt0iUezT/9FIiIQI4uCrlKz182ISFvs0aN4DBNtWuXbQSVIBQGrMPFidiCM2ECvzgYjcD27cDy5ZzDCeDpqZ497aw8pUoBPXuCYCoxe+0aJwR0QWGKxixMfRVcIwJH8EjXrmy1ycwEYmNtnvkBw36AOXLE+XaefIE8TrGlpQF33cVvo+XKAatX45Eaa3Fy8GjO/xEfn7ePM4EjFhyhMGItcJYs4Z9du1r+Xr8+8PDDQN++bO0ZNw744gsnD/p77kFOZAyMpsXMaV9i3RDHKuSFKRqzMPVV8AARheTntttuI8GR5GSiuDgipfhncnLgj7ltG9Ett/DviYlEU6YE9njJyUTFixPx8OL+Exfnua3oaNt9ihc3nbfNm4kqV+aVdevSovEHqGpVXqxRw/Hcrl1L1KKFZfnff4nKlCEyGv19BgQhsOzYQVS3Ll+7d95J9N13jttMm+Z4v+XdOyaSk4kSog00AmNoIe4nAigHOto0wHaQiIvz7v4NBoWprwIDYAs50RFBFzKuPiJwHHH24LcfcALB/PlE3bvz7/PmEd1zT2CP52qAUcq7796qFdF11/E+pUub9vn+e6KYGF6ZkEDzpv7n8dyeOUNUqpRF0KxcSdS6dSDOgCAElm++4ftJKaKICKJvv3XcRsuD3nYbI72JtywrXn8972axv3ft2yvIFzZPuOqrUsHuWXAIxkt1fhGBEwYE683igw+Ihg7l3y9cICpZkujixcAdz91gWKGC5TtrudHOn2dxk55OtGQJ0d2tjfyFzAd57DGizEzN57ZKFaLUVP7944+JnnnGz19eEAKM1hclLQ96Z9sMwnTKgY4XBgwgysrKs4x6+hTEC5snxIJjIVgv1fnFlcARH5xCRLBy0hw6xBEWAPsVtmgB/PJL4I7nym8mLg5Ys8ZU2TtVm6PznDlcT6piRSBB/yvG/3Yn8OqrfK+++y47FkRFaT631n444mAsFEa0OuxrSRHhbJvP8T/8r8IPXI38yy+R3bUbStBl+wonDmHprvpR0IRK5GgoUNgTvYrAKUQEKyfNP/9YBA7AAUc//BC44yUlua68XbMmixsibW3NmAEMGgRgzhwU75KAZsbNIIDDRoYNyxtltZ5ba4EjDsZCYUSrmNfyoHe2jVLAX3H3olupNTiDcohc8TN+uNQGsyacskl+6eoeDnYS0cREYOJE7qdSXJ2lqCbqLOyJXkXgFCKC9WZhbcEBgPvu46Aj+4rZ/iIxEahVC6hQwTETcIkSnIIjPd1zO9u3A2dOGdHh70+B/v05/hUAKT2HZ1mRlGSbjRhwfm7NAsdoBHbvFguOUPjQKua1ZOR2ts0jj3AiwcXpd6IFDDiMmqh/aQs6v94UqT1fgnHDRqSmIq8iudb+WRPoMO4GDYBmzYDcXKBKFaBpU/+2X1gIpUSvXuFs3ioUPuKD45zkZKJixXgutGzZwM+FZmcTRUURXbtmu/6224jWrAnMMdPS+LvZH9PMHXcQGQye2xn5yFH6p1Y7y+SxXk9GnZ4yVIxDA2fP8nmtVs29M93WrUSNGhH98w9R9er5/26CEGwC7Vdh78NSCSfpb9S1rIiKIjIYvO5HQfiFTJlC9Pjj/PvgwUTvv++/tgsT+TnXwXRGhjgZhw/16hH9738F4+B6+LDzB3nPnuxsHIiLefx4y+DijD59iGbNctOA0UiZn39DF1QpvsTLl+eoKYOBcsaMpQ6xBvr3X9tdpk0j6tXLc98yMlgIffcdUZcumr6OIIQcgXwYOXM8HoVRlGu9okkToosX8/phDiDQ0o+CcAJ++mkOIiAiWrqUIzGLKu+8w5F2AI/5rsRNMJ2RXQkcmaIqZBBx4qkuXXiKJNDYT08BbA5esoQTAJv7ozURlhbT8uzZnGDMFbVqAYcPO//b/CmnsaxET0QNegSl6CLSmt7P3sA9egDx8dCPHI4S7eOxapXtft9+y7NYnoiJYfPsggUyPSUUXgJZK83Z9MUv6IRMFWOZGt6+HbjtNiTW34rUVOCjj/gW1dIPV/4fR474b9rK2r+uTRtgxw7gv/+8b68wc/Uq8PLLXGO1eXPn/6OQdUZ2pnpC4VOQFpzCEOdv5sQJftM5fpx/BpoZMzjS0xpv36C0qPz9+4kqVSLKyXHdzpQpbMGywWCgf1o+TP+hDBFAF1CSHsWXVDzG6PD//Owzjg43c+gQG3kyM9333/wdzOlzypUL7WtFEIKBq/t82SgD0dixRCkpPM8LEEVGEn30Ee3ZbaQaNbQlzXQ1/vgr5NxotKSWMNOtm3/vda3PnFB4NtWvT7RpE7sOVKzofJtg5w6CTFE5J1imNW8vXIOB6Pbb+SYsXZro1KlA9pJo+HCi0aNt13l7MWsRRm+/TfTcc+7bWbaMqH17qxU//kik1+c1uAVNqAZSXQqvffvY18Y8mI4ezSZpTwTbDCsIhQWP41tGBt90phvJ2KUL3Xp9Ou3Zo61tf2U6d0ZamuPL44wZRA8+mP+2nKF1HAmF8WbvXqKqVYlyc3m8LFOGHKb3iYKfO0gEjguC8Y/x5cKdNYuod2/+vUULLh8QSPr04Rcua7w9Z56EkdHIbwsbNrhv5++/iW68kfgVa+hQywQxOE38cCS5FV5GI/sV7d3Lv9erp81pOdg3sSCEHQsX8lMToPMxlWn+4JWadnv/fX6nMQsoVwLHGwvC0qVEbdvarjtxgq06WVn5b88ereNIKIw3775r+/KXkED0yy+O21lbts2f6GjxwQk6wYjz92W+MjWVfVAA4KabAu+H48wHx9twdU8hhzt28HyvVX1Lp8SVOIMnD78GqlWLJ+9zcgC9HjnQIxPRWIM2bo+rFNChA7ByJYez5uTw3LInCntOCEEIObp35xu/VSuUvvovekxpz9V81651u1vJkpbMD+5CzsuUyb9fjrP8VlWqADfeCPz2m+f9PaF1HAmF8WbhQvaNMnPLLcDOnY7bJSYCQ4dy/jKlOMVHyZKcUiSYFHmBE4w4f18u3MOH+UYFgIYNgT17tB/Xm9wRzgSOOfdFtWq87Cw/hjOSkthJ1xqlgOuv5/40aQKcOwfMmuWigbNngZEjUaxBLbyc+wFURgbfQVu3Ar/+il19RqNr9Cr8DotCciW8ihXjhMa33w6cOePmmFYU+pwQghCKVK8OrFmDzP4DoQBg3TqgbVtgxAh++3DC2rXA3Xdbll0lHDx7Nv9VwV0l8LzvPna09RWt40iVKvnb3xp/5Ak6fhw4eND2PDduzHrUGSVKAM88w6Lz1CnggQeAe+8NbL4ijzgz64TCpyB9cMx5ZcyfmJjAmtZq1PDe9NihA5tQiYiWL2eToRa8mRY7d46oRAnXjn9mZ7z8+AE9+ii3aTYt9+/voYimwUD0xhvs6VyyZN5GG67rQtum/eH0e1qbrl2FNNqbU0Ml/4YgFFnGjrXUsDJ/6tXjar9Wg5DRyIEIhw7Z7m7v91OunHfjbOPG7FRrz5gxPBvuq8NvcjJP39j368EHLf2vWpUoNpZ9sIM1Tk2aRPTww7brNm8muuUW59vfd59tVfqZM70vkJxfID44rnnsMctDt0QJbflQfKF3byKd3X2s1xM99ZRnx+M6dSjPES8/kVTezOdu2+b6YjYTH0+0bp22PhARtWnD0+6a+jVrlo1/DQFEnToR/f479evHFZHtSU9n52t30Ri+zG2HQlSDIIQlBgNlRcZQjtJzMsDrr7fcnLffTrSS/XP+/pt96DxFXHkTDJGVxS+8ly/brvf3y027dvxyaB5H2rVz7G9kJCcZrF6dl6tXL6A8QQaOdnuumYEWLLD9kzkPWGYmEf36K6s+g4GMRhaUx4/7sR/5QASOG/r1Y7VJxOKhYkXHC9xfrFpFVLky0aefWh6U1avzMe2f5fY3UG4uK/+MDF7OTySVNzf7/PlE3bu7b3fgQKKpUz0fn4j7WaqUpf/O+lUdR+gVvE/b0dixs08+mbffiBEccWXP8uVEd9/tvh/BDmkUBME5e78w0IcVxvJDNjOTzQiVKllu0vbtacHwzQ6WBWd484Dds4fohhv805YrsrI4LcU//2hv/447tAeUuB3fTOIlL6rCaCQ6c4Zo+3aixYuJXnqJcnURlAtQNvS0Oao5/Vu/Naeur1+fqEYNOqsvR7mRUTaNZ5cpTwci6hPdeSdPM/TqRTPxOH2IITQDj9N3eICawxCwcVYEjhvi4vitwMwDDxBNmOC/9q3f+nU6Dr22p1o1zzfQsWN8r1ujNZLKmxv0gw84SMkd48cTPf+85+MTcailOQLMul/lcYoGYxKtx122nYuNZdOWTsdzSlahTs7y8xARjRvnuT+hEJ0gCIIjublslU5NtVp5+TJRUhK/HZlu1mP12hC9+KLb8EdnVhdP7gdz5zp/qfPnS9HSpUTNm+ev/SFD+BRowX58K4FL1BRb6MPSb1neonU6fujYz9UH6GME6ApiqDkMBWrBKfJOxseOAVeuAHXrWtYNHw6MHw9kZbnfV4sjV0oKO7aZHd2MRq5Ua7/t8ePOj2HteJyaanEwNqM1kiopyaG+JJQCLl923X/7KuLOaNAA2LvX8/EBzv7bq5dpYckSoE8fbI5ojpOogsl4Bq3wGzIQg+/0D2LdkEXs/fvrr1z5e9Uqm/CqmjWdZzP+80/g1lvd9yNYRUsFQXCPTgfUqcPFLfPGpUUl2OH40CHQy68gE1Goum8NMGEC0LIl8OyzQFqaQ1v2hUBLlAA6dXIfDOHKwdifAQazZgH9+uWv/ZYtgQ0b3DS6YQPw2mvAhAn47u5PMVk9gxVojzRUw2WUxFY0w9ALb1mcto1GfvhdvQqULs0PknvuwfKY+5GFCORCh0xE4SWMQwLW4P7Kf3BG+MOHMWHEKUzpvZojRvR6ICYGn3VYhJThuwCDAfj5Z2DuXPw+cDp+0XWGEQoKQCSy0DFybcGOs85Uj9YPgN4AdgMwAmjmZrt7AOwDcBDAMC1tF5QFZ84czlJpz80385yiK18LrXOy/sx5kJzsmGzq44+11aRKT2exXr06fydT6gm3/bd2aHbFoUP8IuCWzEy6sGozvRT9KWX16Wc7tw5QrtLRqpgulIhkalj9oqZ55oMHiWrWdFx/003sO+QJ8aURhNAjOZndb1yNSwcPEn1a4jUyOjN5tGpFNHmyyzn7I0e4iG9amuvjd+tGNG+e8375wwfnyhV2K7BPluep/ZMneczOzTHyF1m6lM3Vjz1G1KCBW+vJNUTRwZibOSIlIoKtN9HRnODswgWbfihF1BwGGoaxeVNK9paqn37iZ4P1dNfNNxNt2eL4fZeNMlCGiqEscJHjZaM0JBzzAgRiigpAAwD1AKx1JXAA6AH8A6A2gCgAOwA09NR2QQmcZ5/l68QaZ17u9heztSCxviDshYv5PrS/aOxNm+YL3Ho7+2OOGUM0bJjtflojqSZPJurb13n/XQmqG26wnbpzRm4u9zvvPsnJIVqwgB2b+vYlatnSMUzN+qPTEY0c6fkL2JGZyQNhdrZl3dWrfChXVcgFQQhtPI1LM2cSvdHewG9repMzcps2tmOMXs/BCF99xQOklc/J8OGsg1y93NSuTS6zKVsXBnVVdNITc+eaxIGb9pUiqlUjhxZ+dIjoo4+4qu+999LW6OaUE1vK9Vhq+pyqdTtNq/ch0ZIlRAcP0qXzOVSxItFff5GjD44dWp4LR4/almw4d469CVwmQfRwTH/gSuBE+Gj92QsASil3m90B4CARHTJtOwdANwD5yOASODZscDQXjhwJZGYCzbERCViLtUjA7xnxeGtEFhJbngCOH8edR46jB46jGTbjQcyDDrkg6LD9yK1Ai2huIDMTh/TXEJNzERVxOq/9MyiPa7pYoG4kZ0aKjERiVBQ6l7uK0hm7oWAEQY+Tde9BtU21gd2xQGwsav8Uiyp1YoF5sWyS3bcPt9WPR+aOeOAYb4MSJYDISD7Qxo2cMCIhAXPmxOOllyzf0Xrqy/p7bjrK00A5OXwImwRaBgOwdClnvCpTBkhLgy4tDfOj06BapwHn09jsmZvrcJ6PxdZD5q3NcUNiczZtDh7Mc4BRUUDXrvn+v0VFAZUq8eHM03a7d7N5Ozo6380JghACeMoRtm4dEN8zHnhnVd7Yhvh44OJFYPFirtS7fDnwyy/8MRMRAbz2GppF9ML4XxsiG1EALLlxAKBbN+DECR5DnJGYyJ+dOznHizcFSm2mpzZu5D7WqAFERSFx3z4k3v43UGofcOAAMPSazb5NASATnEXvppssHyLgpZeA7GxQVBReiZyIPh/FA114v1gAr7wCvPUWMH9+vNtMqu+8Azz2GDdpxn76vlo1IDsbSE/nMXjTJuC22yyPHQfi3R8zoDhTPfn9wL0FpxeAz62W+wP4zMW2TwDYAmBLjRo1Aqb2zFy8yGHhNm/8ublUD3/TKLxJWWBv8lwo+g/XeVTOIfOJiuJXDJP5yKgU7dPVpdzb72CLyt130/pi7WkJOtN6tKRs6CkXXOZgZ2QTojvvpMz6t9A/EXV4Tqt8efdWGFcfpYgee4wupv5HJUuy0s/DD6q+VSui1asty59/znl1BEEonHiyIMTFubaw5HH6NNG0aUS1ajltLBORtA230kwMoOcwkZ7CJJpQ+g3aNX0D3Xqr5z4ajURVqhAdOOBiA/PYtn49e0v/9hvR7Nl05e1xNCnqBcq6v6fHaaU8M5GVpXtPy0H0TO90t8fcMdVAN97IlnVrzFNjVaq4n5afPZuDpTxN3999t6Vkw5tvOg+cKUjgrQVHKbUSQGUnfxpJRD9o0FDOzDvkZB2IaDqA6QDQrFkzp9v4BZNlY2/M3eh0Uw1EL90M/PEHsHkzsGUL/sYFh+6WxXnkQI+IqpWBqlVx1FgVS7ZXBeXmYCC+gB45yEUEdvYfj9ufbMpmhGLFgOhovPPgbryyvS8ikI1cFYnfX5iDhOdvYQtGdjb/zMoCtm8HhgxBbmY2VEQEdK+8xBL58mXg8mV8PeUKure7jNL7N7PDl4nzEeURc10UorOv8Lbm9kwoItSl/cBmyzdq5fTEGNEoezuwiecSawOAo+8eU7cu0KYNUL06Fm+vjpMR1fHkmOpsUunSJc8680vcE3i4WVlcusTOv0lJpjcfP6j6WrXY8drMjh2caVMQhMJJUhJbVKxL2cTE8PojR9gntn59D42UL8+NNGrEGZGzstgZtlUr7Ft9DHVwAE3wJ5rgT8s+FwB6Yph2OHkAAA+hSURBVDR+iywN1KnAjrfXXccf8+8XLwLHjkFdfz1mliuHjMczgBszuLPmz6lToF278kwg1g+/4gCeBoDFTvp8881ctqJ+faBePR5fd+8G2rXLG0ujnnocy96q6Pw7m8bTsQ+xz7V9QMnChdy9C6ZHm7XlytoSNXEi8O673BV3NG7MlqyOHdmw/8IL7rcPGs5UT34/cG/BiQfwi9XycADDPbUZMB8cgyEvPaTRhXK+UuZ6+lXXijIRSdnQ0VVEU8+oHyjlmxybplq14mRN8TDQcIylxcOdWyNuvplo9+caLRYGAy25ayx99aTtdjk5bJi5etX0Hcxz0DExNPY+A02aZNrQaOSNfv6ZrS56PV1T0bRjyBdEGzfyW8Xq1US//EKrX15CY697j64hinKgo0wVRfTJJ0QGAy14YzsN676X30DS04lWrLA5pvX3WLCAs1janOOxY2nZKENAM/+++SYnOTbTqlVeLjBBEAop1r4oJUtaQqq//tqLJKx2luK4OKJYXKR4bKCn8RltQjOXzwFfP0aAzqMUbcSd9B160kd4kYZiPPWPmkMbB0zLG5/tx1NX/c/N5eeNMwdl6zQkM2Y4NqPFt+b339nolZPjuL89n3/OWY5zcjh6//RpDf+LAIJA5sHxIHAiABwCUAsWJ+ObPLUZMIEzdqzNfzgnshh7fY0YQbRoUV4qxuRkoh6VWbi0UAb64APbZtLT+WI7c4aXO3Ykh6yPRNxc2bLaLhoz8+YR3X+/7bqjR9m8mIfVhf/xx7YVX623OfvKWLqntMF9FVyDgTLe4O3MTsXDhhGNHu24nTORVhDJsZzx5ZeWKSmjMTRuNEEQ/EdGBo975cvz2FGmjG8vSPbRSs1hoCvgKJ8riKG+pX+iH8bt41oNy5fzYDx9OlHnzpaIEaUos20nejn6E8qa8jlnXF+0iGj5chpWZipdRTRlm9qzjkRyGAO9mKbv3Nn2OaM1uktLHp++fYk+/FBbP8wlG3bs4GoawSYgAgdADwDHwK5P6WZLDYDrASy12q4LgP3gaKqRWtoOqAUnKoqMOh1dRTG6sGyDx13efpsz9lozZoztuk8+cZ547quvHJPbeSI1lRP6WaciX7+eyyI4w10k1fvvEz3xhLbjjh1rCUPv04ejCLWQlcVRZ1ev2q4PdMbgNWuI7rqLfz90iOu3CIIQPjirFeirFdja4lG2LFvgrSNcnbZvZzUng4FatOCx1xpXYdb+GgPHjLFNvuqvNCTHjrF4PH9eWz/MJRsmTnT+3CtoAmrBCcQnoGHiBgMde2Ys9aulTTmfPs3WmhMneDkrix+mf/5p2eaffzh0zt65q18/5yZDd5iLyR05Yln3zTfcljOOHXOsSWUd0lixorYB4fJlLiOxfTtRs2Y8o6WVBg1YzVsTaAtOaqolB8/33xN17eqfdgVBCA0CPYbkq307i8s77zhmejfXjfL08bb/a9ZwNQQzWl8inVl6dDqiQYO8C31PTrYkRS5bNvh5xETg2DFhgk1pI488/TTPYhFxLoPWrR23adiQ5zHNOE07rpH777dNOPXOO5bj25OczBe02et98GDvk1L172/J3l2tmvYL94EH2APfmi++cLzx/OmDk53NfknXrrE/jhfpdARBCGECbQX2pf3Nm3nMt6ZDBzbyuBM3voyBV67w/uZ6fvkRaNaWqxo1uO/2RZ8Lslq5P3ElcIpcqQZzeYUXXwTmz3deXsEZQ4cCn3zCKQsefBDYs8dx33vvBX76ybK8YwdQtqxdLhmN3Hkn5xcwc/iwY5kGwFIKwnypHTkCTJ1qG4UA8PLIke6PmZLC5RSuXuXlY8e4bS3nqGFDx5INpUvzenOq9Lg4Tp3uTf4IZ0REAFWrcr4eiaAShPDDnyUS/N1+06bA6dOWHD0bN3Jw6+TJtmPe4MH+GwOLF+cxdcsWXh440Pk2zsohJCZy1KnRyM+Jy5f5d2u0PCdGjvTu+RIUnKmeUPgEwoLji/JMTnZU5vb7rl9PNnkU3nuP6LnnvOvrypUW/xIiTtZpP99L5FrBe/NW4os5OCXF0dfooYe0Vxr3FvN5iYsj2r8/sMcSBKFgCbS1wNf2ExM55U5mJpeJmTvXP/1yR6dO7DKhlCVpszdlZ7y1XgXaquYNkCkq3x7gWvbNzratddK2LdGPP3rX1wsXOAmhOfqpVi3niaVcXWzefE9fLtxt2/gGN5ORwYml0l3kpfIXjz/OjtSxsY7+T4IgFH4CXTfOl/afesoype+pUrk/8FSrKz94+zwMtF+UN4jAId8e4Fr37dePrRaXL/ND99Il7/vbsCELB2tfE3tcXWz2/dVyE/hy4V65wl715tpQ33/PAi/QvPMOUYsWriPMBEEQAkFyskXcFJQvij/FhbfWK/HBCVF8mW/Vuq/ZD2f9eq7PERubvz5ac8cd7Idz/DiXH3FWYykpiedcrSleHHjqqfzP+7pqS0t5++LFgSpVgEOHePm774DevT3v5ysnTnAmzY0b2UdJq0+VIAiCL4wcafFXNBNoXxRPtbryQ2IiPxfy+5zwdr+g4Ez1hMInFH1wtOw7bZrFenLddb6p2ilTOMfA2rVcQspd3/xlwvWlrS5diBYuLLjpKS1V3wVBEAJBMHxRQnF6KBSAWHB8U55a9k1JAYYM4UsOAM6f1x6F5AxzJFVqKtddctc3s3d8aqpvStqXtsyRVMuWcYRBRRdlU/yFueq7NSHrzS8IQlgR6AgvZ/hiZS+KKDI/jUOMZs2a0RZzLFwhoWZNDr+zJy7OtiikVnJyuMbbk0/yRTx6tK89DCxffAGsXcv9btWKwyMDiU5nEZPWKOUY/igIguBPzCk6rEOmixcP/HRNSgq/xB09ymIqr4BxEUYptZWImtmv91hNXNCOP+dHAc7z0qQJ5+t5803v+1VQHD0KzJnDBdJ//RUoVSqwN16NGs4FZSDfoARBEADL2FbQYiMxUQSNVorUFFWg8bfJMiWFE9gdPQqMGBHaDrQpKcAHH7C4AfKXJNBbxFwrCEIw8ad7gOB/ROD4EX8+cM3mz0uXePnUqcALBl8IRkRBofLmFwRBEAoU8cHxM/6aH/W3P0+gEX8YQRAEIRiID04B4a/5UX/78wQa8YcRBEEQQgmZogpRghGC6AviDyMIgiCEEiJwQpTCJhjEH0YQBEEIJWSKKkQJVgiiL0j4oiAIghAqiMAJYUQwCIIgCIJ3yBSVIAiCIAhhhwgcQRAEQRDCDhE4giAIgiCEHSJwBEEQBEEIO0TgCIIgCIIQdojAEQRBEAQh7BCBIwiCIAhC2CECRxAEQRCEsEMEjiAIgiAIYYciomD3wSlKqdMAnNSn9hvlAZwJYPuCa+TcBw8598FFzn/wkHMfPAJ97uOIqIL9ypAVOIFGKbWFiJoFux9FETn3wUPOfXCR8x885NwHj2Cde5miEgRBEAQh7BCBIwiCIAhC2FGUBc70YHegCCPnPnjIuQ8ucv6Dh5z74BGUc19kfXAEQRAEQQhfirIFRxAEQRCEMEUEjiAIgiAIYUeRFDhKqXuUUvuUUgeVUsOC3Z9wRilVXSm1Rim1Vym1Wyn1gml9WaXUCqXUAdPPMsHua7iilNIrpbYrpX4yLddSSm0ynfu5SqmoYPcxHFFKXaeUmq+U+tt0/cfLdV8wKKWGmMabXUqp2UqpYnLdBw6l1BdKqVNKqV1W65xe64r5xPT83amUahqofhU5gaOU0gOYBKAzgIYA+iqlGga3V2FNDoCXiKgBgOYAnjGd72EAVhFRHQCrTMtCYHgBwF6r5fcBfGw69+cADAxKr8KfiQCWEVF9AI3B/wO57gOMUqoqgOcBNCOimwHoATwEue4DyVcA7rFb5+pa7wygjunzBIApgepUkRM4AO4AcJCIDhFRFoA5ALoFuU9hCxGdJKJtpt8vgQf5quBz/rVps68BdA9OD8MbpVQ1AF0BfG5aVgDaAphv2kTOfQBQSpUC0BrATAAgoiwiOg+57guKCAAxSqkIAMUBnIRc9wGDiNYDOGu32tW13g3AN8T8DuA6pVSVQPSrKAqcqgDSrJaPmdYJAUYpVRNAEwCbAFQiopMAiyAAFYPXs7BmAoBXARhNy+UAnCeiHNOyXP+BoTaA0wC+NE0Pfq6UKgG57gMOER0HMB7AUbCwuQBgK+S6L2hcXesF9gwuigJHOVknsfIBRikVC2ABgBeJ6GKw+1MUUErdC+AUEW21Xu1kU7n+/U8EgKYAphBREwBXINNRBYLJ16MbgFoArgdQAjwtYo9c98GhwMagoihwjgGobrVcDcCJIPWlSKCUigSLmxQi+t60Ot1sljT9PBWs/oUxLQHcr5RKBU/FtgVbdK4zme4Buf4DxTEAx4hok2l5PljwyHUfeNoDOExEp4koG8D3AFpArvuCxtW1XmDP4KIocDYDqGPyqI8CO58tDnKfwhaTz8dMAHuJ6COrPy0G8Kjp90cB/FDQfQt3iGg4EVUjoprg63w1ESUCWAOgl2kzOfcBgIj+BZCmlKpnWtUOwB7IdV8QHAXQXClV3DT+mM+9XPcFi6trfTGAR0zRVM0BXDBPZfmbIpnJWCnVBfwmqwfwBRElBblLYYtS6i4AvwL4CxY/kBFgP5x5AGqAB6TeRGTvpCb4CaVUAoCXiehepVRtsEWnLIDtAB4mosxg9i8cUUrdCnbujgJwCMAA8EulXPcBRin1NoAHwVGc2wEMAvt5yHUfAJRSswEkACgPIB3AKACL4ORaN4nOz8BRVxkABhDRloD0qygKHEEQBEEQwpuiOEUlCIIgCEKYIwJHEARBEISwQwSOIAiCIAhhhwgcQRAEQRDCDhE4giAIgiCEHSJwBEEQBEEIO0TgCIIQMiilaiqlriql/lRKVVBK/aaU2qWU6m61zQ9Kqeutlscppf5VSr0cnF4LghCKiMARBCHU+IeIbgXQF1yFOB7AKwCglLoPwDYiykvtTkSvAJgajI4KghC6RHjeRBAEIShkA4gBEA3AaKoj9CKA+4LaK0EQCgViwREEIVSZBaATgGUA3gLwNIBviCgjmJ0SBKFwIBYcQRBCEiK6AKArACilygB4DcADSqkZAMoA+JCINgaxi4IghDBiwREEoTDwJoAksF/OVgCPAxgb1B4JghDSiMARBCGkUUrVAXA9Ea0DUBxclZ4AFAtqxwRBCGlE4AiCEOokAXjd9PtsAI8B+B3A+GB1SBCE0Ed8cARBCGmIqI/V76cAtAhidwRBKCSIBUcQhFAiF0BppdSfWndQSo0D8DCAKwHrlSAIhQ5FRMHugyAIgiAIgl8RC44gCIIgCGGHCBxBEARBEMIOETiCIAiCIIQdInAEQRAEQQg7/g/4YdR3RsE93AAAAABJRU5ErkJggg==\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ " >>> # Deal with 2-D array\n", " >>> x = np.linspace(-3, 3, 100)\n", " >>> y = np.exp(-x**2) + np.random.randn(100)/10\n", " >>> y = np.vstack((y-1, y[::-1])).T\n", " >>> yn, tn, indie = tnorma(y, step=-50, k=3, smooth=1, show=True)" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.7.7" }, "varInspector": { "cols": { "lenName": 16, "lenType": 16, "lenVar": 40 }, "kernels_config": { "python": { "delete_cmd_postfix": "", "delete_cmd_prefix": "del ", "library": "var_list.py", "varRefreshCmd": "print(var_dic_list())" }, "r": { "delete_cmd_postfix": ") ", "delete_cmd_prefix": "rm(", "library": "var_list.r", "varRefreshCmd": "cat(var_dic_list()) " } }, "types_to_exclude": [ "module", "function", "builtin_function_or_method", "instance", "_Feature" ], "window_display": false } }, "nbformat": 4, "nbformat_minor": 4 }