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@kmuehlbauer
Last active November 3, 2016 14:48
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Derivation via Lanczos Differentiators
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{
"cells": [
{
"cell_type": "code",
"execution_count": 143,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"import wradlib as wrl\n",
"\n",
"import matplotlib.pyplot as pl\n",
"import matplotlib as mpl\n",
"import warnings\n",
"warnings.filterwarnings('ignore')\n",
"try:\n",
" get_ipython().magic(\"matplotlib inline\")\n",
"except:\n",
" pl.ion()\n",
"import numpy as np\n",
"import os\n",
"import glob"
]
},
{
"cell_type": "code",
"execution_count": 145,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"import scipy\n",
"from matplotlib.widgets import Slider\n",
"import matplotlib.transforms as mtransforms\n",
"from scipy.ndimage.filters import convolve1d\n",
"from scipy.ndimage.filters import gaussian_filter1d"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"To estimate $K_{DP}$ (the derivative of $Phi_{DP}$) we use Low-noise Lanczos differentiators.\n",
"\n",
"For further reading please see [Differentiation by integration using orthogonal polynomials, a survey](https://arxiv.org/pdf/1102.5219) and [Low-noise Lanczos differentiators](http://www.holoborodko.com/pavel/numerical-methods/numerical-derivative/lanczos-low-noise-differentiators/).\n",
"\n",
"The Lanczos differentiators can be written in general form for any as:\n",
"\n",
"$\n",
"f'(x^*) \\approx \\frac{3}{h} \\sum_{k=1}^{m} k \\frac{f_k - f_{-k}}{m(m+1)(2m+1)}, \\;\\; m = \\frac{N - 1}{2}\n",
"$"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"For a window width of N=5 this calculates to\n",
"\n",
"$\n",
"f'(x^*) \\approx \\frac{3}{h} \\frac{k_1(f_1-f_{-1}) + k_2(f_2-f_{-2})}{2(2+1)(4+1)}, \\;\\; k_1 = 1, k_2 = 2\n",
"$\n",
"\n",
"which can be written as: \n",
"\n",
"$\n",
"f'(x^*) \\approx \\frac{-k_2f_{-2} -k_1f_{-1} + k_1f_1 + k_2f_2}{10h}\n",
"$\n",
"\n",
"We add $\\frac{k_0}{10h}f_{0}$ for completeness ($k_0$ is 0).\n",
"\n",
"$\n",
"f'(x^*) \\approx \\frac{-k_2}{10h}f_{-2} + \\frac{-k_1}{10h}f_{-1} + \\frac{k_0}{10h}f_{0} + \\frac{k_1}{10h}f_{1} + \\frac{k_2}{10h}f_{2}\n",
"$\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"$f_{-2}$, $f_{-1}$, $f_{1}$ and $f_{2}$ are the discrete values of $Phi_{DP}$ around $f_0$ for which we want to calculate the derivation.\n",
"\n",
"Assuming the factors as some discrete function $g$, we can write the discrete convolution sum like this:\n",
"\n",
"$\n",
"(f*g)[n] = \\sum_{k=-m}^{m} f[n-k]g[k]\n",
"$"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"This way we can use reasonable fast convolution functions to estimate the derivative of $Phi_{DP}$.\n",
"\n",
"The implementation to calculate the factors for the Lanczos differentiator can be like this:"
]
},
{
"cell_type": "code",
"execution_count": 146,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"def lanczos_diff(N):\n",
" m = (N - 1) / 2\n",
" denom = m * (m + 1.) * (2*m + 1.)\n",
" k = np.arange(1, m + 1)\n",
" f = 3 * k / denom\n",
" return(np.r_[-f[::-1], [0], f])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The factors for several window-length's:"
]
},
{
"cell_type": "code",
"execution_count": 147,
"metadata": {
"collapsed": false,
"scrolled": true
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Width: 3\n",
"[-0.5 0. 0.5]\n",
"------------------------------------------------------------------\n",
"Width: 5\n",
"[-0.2 -0.1 0. 0.1 0.2]\n",
"------------------------------------------------------------------\n",
"Width: 7\n",
"[-0.10714286 -0.07142857 -0.03571429 0. 0.03571429 0.07142857\n",
" 0.10714286]\n",
"------------------------------------------------------------------\n",
"Width: 9\n",
"[-0.06666667 -0.05 -0.03333333 -0.01666667 0. 0.01666667\n",
" 0.03333333 0.05 0.06666667]\n",
"------------------------------------------------------------------\n",
"Width: 11\n",
"[-0.04545455 -0.03636364 -0.02727273 -0.01818182 -0.00909091 0.\n",
" 0.00909091 0.01818182 0.02727273 0.03636364 0.04545455]\n",
"------------------------------------------------------------------\n"
]
}
],
"source": [
"for w in range(3, 12, 2):\n",
" print(\"Width: {0}\".format(w))\n",
" print(lanczos_diff(w))\n",
" print(\"------------------------------------------------------------------\")"
]
},
{
"cell_type": "code",
"execution_count": 148,
"metadata": {
"collapsed": false
},
"outputs": [
{
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F6ODfwSTtD603lF5/9OLQxUPUdK9pkj6EMIa5B+YS4BlADXfjn//tbO/MkzWf5Je9v/BB\niw8waDIXVZjMnDkzw8+nT5/O6tWrmTlzZoZ6NNZ0dvyDq0ISExPp0qUL69atY8aMGfTp0yfDtV98\n8QXly5cnKSmJmJgY1q5dy8svv8y4ceP466+/qF69eqb2p06dir29PTdu3GDp0qWMGjWKjRs3smbN\nGrN8RmFZkqgb2ZJ/l2Cj2dDOv53J+uhUtRNTdk8hJTUFG4ONyfoRoiAWHFlABdcKBHoFmqT9Uo6l\nCK8SzuJ/F0uiLqza74d+p22Vtrg4uJik/a7Vu+Lu5M6kiEl80/Ybk/QhREHdSrzFkn+X8EHzD0zW\nx+CgwUzbM431J9cb7XQFYR59+/bN8POtW7eyevXqDMnuw9y5c4dixYqZIrRs3f8AISkpiW7durFm\nzRp++eWXTJ8HoEOHDtSs+d/D1LfffpuVK1fSpUsXunTpwsGDB7G1zZiaPfnkkzg5OQHw3HPP0bFj\nR5YtW8bevXsJCAgw0ScT1kIeNxrZoqOLaF6hOaUdS5usj07VOhGfEM+2s9tM1ocQBZGqUll4ZCHd\na3RH0zQ6d+5skn46+Hdg29ltXEq4ZJL2hSioU1dPsePcDnrW7GmyPuxt7Olftz/zDs7L10kIphqf\nQtxvyb9LSEhKMMmy9zSNfRpTtUzVR66onIzRjNKWnS9YsIC33nqL8uXL4+zsTGJiIm+//TaOjpmP\n/Zs4cSIGg4G4uLgMry9ZsoQmTZrg7OxMyZIl6dq1K//++2+e4klKSqJ79+6sXLmSadOm0a9fv1zf\nGxYWxltvvcXx48eZN29ejte3aqU/gIqOjs5TjKJwkkTdiG7cvcHa6LV0rmbav1Ablm+Im5MbS/5d\nYtJ+hMiv7We3E3MzJn3Z+8svv2ySftr7tydVpbIiaoVJ2heioOYfno+DjQMdq3Y0aT8d/Dtw4eYF\n9sXuy/O9phqfQtxv3sF5NCjfgEqlKpmsD03TGBQ4iD8P/cmNuzdM1o+5yRjN2gcffMD69et56623\n+OSTT7CxsUHTtCwLFWb1+pQpU+jSpQvu7u6MHTuWd999l927d9O0aVNiYmJy7F/TNBITE+nRowfL\nli1jypQpDBgwIM+fY8CAASilWLlyZY7XHj9+HIAyZcrkuR9R+EiibkQro1aSmJJo8kTdxmBDB/8O\nkqgLq7XgyALcndxp7NMY0J8Ym0I5l3IEegVKcUVhtX4/9DvhVcIp4VDCpP009W2Kk50Ty48vz/O9\nphqfQqS5ducaS48tpXct452dnp2eNXtyO/k260+uN3lf5iJjNGtKKTZv3syrr77K22+/jY1N7reD\nXrt2jddee41hw4axcOFCXnzxRd588022bt3KnTt3GDNmTK76HzFiBH///TeTJ0/m6aefztfn8PPz\no1ixYkRFRWV6Lz4+nkuXLnHy5EkmTJjA1KlT8fHxISQkJF99icJF9qgb0aKji6jtUZvKpSqbvK9O\nVTsxfe90Tlw5YZb+hMgtpRTzD8+na/WuZqmh0MG/AxN3TZSaDcLqnL1+lq1ntzKj6wyT9+Vg60Cr\nSq1YHrVcajYIq7PwyEKSUpJ4staTJu/Lr7QflUtVZmXUSjpV62Ty/qxdQlICR+KPmLSP6m7VcbJz\nMmkfWRk8eHCmPd25tXTpUm7dukXv3r25dOm/7XP29vbUq1ePdevW5aqduLg47OzsqFixYr7iSFO8\neHFu3Mi4CkQplaFdTdMIDAxk+vTp2NnZFag/UThIom4kyanJ/H3sb56v97xZ+gvzC8Pexp4lR5cw\nLGSYWfoUIjcOxB0g6koU37f73iz9tfdvz6f/fMqOczto5NPILH0KkRt/HvoTO4Od2ZKFdlXaMWz5\nMG7cvWGywnVC5Mfcg3NpVqEZ5UuUN0t/YZXDWHki52XERcGR+CPUm1TPpH1EDI0guGywSfvISkGS\n4+PHj6OUolGjzN8bNE3Dw8MjxzY0TWPcuHF8/vnndOnShbVr1/LYY4/lK56bN2/i4pLx721N0/jr\nr79wcHDA3t4eHx8fKlSokK/2ReEkibqRbD69mcu3L9Olehez9Ofi4ELLii1Z8q8k6sK6LDiyABd7\nlwwVdxcuXEjXrl1N0l/D8g0p7Viav4/9LYm6sCp/HP6DML8wShYraZb+2lZpS3JqMmui19C1eu7H\nmynHpxCXEi6xKmqV2R7egj6ZMTFiIievnqRiyYpm69dUCjJGq7tVJ2JohJEjytyHJWRVNC6r/ekA\nKSkpGX6empqKpmn89ttvlCpVKtP19vb2OfavlMLHx4fVq1fTpEkT2rVrx8aNG/N8hFxUVBR3796l\nSpUqmd5r0aJFetV3UfRIom4ki48upqxzWR4rl78nafnRqWonhq8YzrU713At5mq2foV4mPmH59Ox\nakccbB3SX5szZ47JEgEbgw1tq7Tl72N/80mrT0zShxB5df7GeTaf3sy0LtPM1mflUpXxL+3P8uPL\n85Som3J8CrH6xGpSVIrZJjIAWlZqiY1mw6qoVTxb71mz9WsqBRmjTnZOFpnttpRSpUpx9+5dEhMT\nMyTbJ0+ezHCdn58fAJ6enjRt2rRAfVapUoUVK1YQGhpKWFgYmzdvxtfXN9f3z5gxA03TaNu2bYHi\nEI8eKSZnBEopFh1dRKeqnTBo5vsl7Vi1I8mpyfkqHiSEKURfiWZv7N70au9pcnPkSEF08O/Angt7\nOHf9nEn7ESK3Fh5ZiI3Bhi7VzJecgD6rvvz48jwd02bq8SmKtnUn11HdrTrlXMqZrc+SxUrS0Lvh\nI7P8XcZoZtnNnKcl4Bs3bkx/7fr168yaNSvDde3bt8fJyYlPPvkk02w7kGHfem5iCAwMZMmSJVy6\ndIk2bdpkOgYuOytWrGDs2LFUq1aNnj1Nd4ynKJwkUTeCw/GHiboSZfJq7w+qULICdT3rSvV3YTUW\nHFmAg40D7fzbmbXfcL9wDJqBZceXmbVfIbKz+sRqGvs0ppRj5iWVptS2SltOXTvF0UtHzdqvENlZ\nG72WlhVbmr3fsMph+mx+auYkTBR+2T2M7NixI15eXgwYMICvvvqKL7/8kgYNGlC+fMb6CKVLl+b7\n779n9erVPPbYY3zxxRdMnjyZ9957j4CAgFxXfb9fs2bN+P3334mOjiYsLIxr165luHbJkiXMmjWL\n6dOnM2bMGMLCwmjXrh2+vr4sXrw4T1XrRdEgiboRLDqyCCc7J1pXbm32vjtV7cTSY0tJTk02e99C\nPGjhkYW08WuDs72zWfst41SGEO8QOaZNWIVUlcqGUxtoUaGF2fsOrRiKg42DrLQSVuHc9XMcu3zM\nMom6XxhX71xl1/ldZu9bGEd2s+YPe8/e3p6FCxfi6+vL+++/z48//siwYcMYMmRIpmsHDhzIypUr\n8fDwYMyYMYwYMYI//viDhg0b0r9//3zF16FDB37++WcOHDhAx44duXPnTvq17777Lk899RQvvPAC\n33//PTY2Nvz444/s2bMny/3pD/v8omjQ8rI8zhppmhYMRERERBAcbJk9OI2mNqKsc1nm95pv9r63\nn91OyNQQNgzcQPMKzc3evxBpbifdxvULV74K+4pXGr5i9v4/3fgpX2z+gvj/xWfYHy+Eue2P3U/d\niXVZ89SaDEUVzSV8ZjgAK/qvMHvfQtxv5r6ZDFgwgLg34nAv7m7WvpNTk3Eb68brjV7ngxYfmLVv\nU4qMjKRevXpY8nuvEEVFTuMt7X2gnlIq0tj9y4x6AV28dZHtZ7fTqaplzuqsX74+nsU9WXJUlr8L\ny9pxbgdJqUlZPjAaNGiQyfvvULUDNxNvsun0JpP3JcTDbDi1ATuDHSHeIRbpv61fWzac3EBCUkKu\nrjfH+BRF07roddTxqGP2JB3A1mBLq0qtHol96jJGhSiaJFEvoE2nN6FQPF75cYv0b9AMdPDvwN/H\n/rZI/0Kk2XhqIyWLlaS2R+1M74WFhT385rg4iI6G5Pxv4QjwDKCcSzkZC8Li1p9cT0PvhjjZWeZI\nnbZV2nI35S4bTm7I1fU5jk8h8mndyXUWWfaeJswvjK1ntnL97nWLxWAMMkaFKJokUS+gTac34evq\ni4+rj8ViaFWpFYfjDxOfEG+xGITYeHojTX2bYmPIXAylT58+Wd+kFEyaBBUrQuXK4OgI/v7Qti28\n8QbcV4glJ5qm0b5Ke9mnLixKKWWx/elpqrtVx9fVN9f71LMdn0IUwMmrJ4m+Gk3LSpZN1FNUCuui\n11ksBmOQMSpE0SSJegFtOrOJpr4FO3+xoJr4NgFgy5ktFo1DFF1JKUlsObOF5r55qJNw+TL06AHP\nPQdPPQXLl8O330LnzlCsmJ7A9+qVp1n29v7tOXrpKNFXovPxKYQouEMXDxGfEE9oxVCLxaBpGu2q\ntGN5lBSUE5azLnodGppFH1pVLlUZv1J+rIwq/MvfhRBFjyTqBXAr8RaRMZE0821m0TgquFagvEt5\n2ZsrLCYyJpKEpASaVcjlWNiwAQICYN06+PNPmDgRwsPhxRfhq69g4UJYsABWr4bhw3MdR9r++M1n\nNufnYwhRYBtObcDWYEsj70YWjaNtlbb8e+lfTlw5YdE4RNG17uQ6gsoGmf2IwgeF+YU9EvvUhRBF\njyTqBbD93HaSU5MtPqOuaRpNfJtIciIs5p/T/+Bk50Rw2awr0G7adN9DpGnToGVL8PODffuge/es\nG23dGiZMgPHj4fvvcxVHGacyVHerLqtLhMWsP7meBuUbUNy+uEXjaFWpFbYGW1Ycz7nye4bxKYQR\nKKUsvj89TZhfGMcvHy/UD61kjApRNEmiXgCbTm+iZLGS1HSvaelQaOrTlF3nd3En+Y6lQxFF0MZT\nG2nk3Qh7G/ss3x87dqz+P3v26LPmQ4bAmjXg7f3whocOhdde02fVl+Zu73lj78aSqAuLsIb96WlK\nOJQgyCsoVw9w08enEEYSdSWKs9fPWkWi3rJiS2w0G1ZFrbJ0KPkmY1SIokkS9QLYdHoTTXyaYNAs\n/8vYxLcJiSmJ7Dq/y9KhiCImVaXyz+l/sjyWLc3cuXPh5k19z3mNGvoMuU3monNZGjsWOnSA3r1h\n//4cL2/s05j9cfsLfZVfUfgciT9C3K04i+5Pv18j70ZsO7stx+vmzp1rhmhEUbI2ei02mk3ut0OZ\nkGsxV0K8Qwr18ncZo0IUTZbPMAup5NRktp7davH96WnqetbF2d5Z9qkLszsQd4Crd64+NFF3cnKC\nl16Cc+dg3jy9WFxu2djA7Nl6Vfgnn4TU1Ide3sS3Cakqle1nt+e+DyGMYMOpDdhoNjT2aWzpUABo\n5NOIqCtRxN2Ke+h1Tk6WOUZOPLrWnVzHY+Ueo4RDCUuHAkCLCi3YcmYLSilLh5IvMkaFKJokUc+n\nvRf2cjPxpsX3p6exNdgS4h0i+9SF2f1z6h/sDHY0LN8w+4tmzNB//PgjVK2a906cnfX96keOwIqH\n77mtWqYqpR1Ly/J3YXbrT66nfvn6ONs7WzoUgPSCdrmZVRfCWJRSrIu2jv3paRp6N+TCzQucvnba\n0qEIIUSuSaKeT5tOb8LBxoHHyj1m6VDSNfVpyubTm0lVD59xFMKYNp7eSP3y9XG0c8z6giNH9H3p\nTz8NAwbkv6NGjSA4OMfCcgbNQCPvRmw5K4m6MB9r2p+extfVl7LOZdl6ZqulQxFFyJH4I8TeirXo\n+ekPSnuQLA+thBCFickTdU3TXtI0LVrTtNuapm3TNK1+DtcP1zTtiKZpCZqmndY0bZymaQ6mjjOv\nNp3ZRIPyDXCwtZ7Qmvg24cqdKxyJP2LpUEQRoZRi46mN2Z+ffvcu9OrF/+zt4YcfCtaZpsErr8Cy\nZXDs2EMvbezTmG1nt5GSmlKwPoXIpWOXj3Hh5gWrStQ1TaORTyO2nn14ov6///3PTBGJomDdyXXY\nGexo4tPE0qGk83T2pGLJimw/Vzi3RMkYFYXRL7/8gsFg4PRpWcmSXyZN1DVN6wV8BXwEBAF7gRWa\nprllc31f4PN711cHBgO9gE9NGWdeKaXYdHqT1Sx7T9OwfENsNBvZpy7M5vjl41y4eSH7/enjx8PB\ng/g++6y+fL2gevcGNze93Ydo7NOY63evc+jioYL3KUQurD+5HhvNhia+1pOcAISUD2Hn+Z0kpyZn\ne42vr6/fAfJPAAAgAElEQVQZIxKPurXRa63iiMIHhXiHFNoZ9aIyRqdPn47BYEj/YWdnh7e3N4MG\nDeL8+fOWDs/obt++zahRo9i4ceMjGYOmaWialuN1I0eOxGAwcPny5QyvnzlzBj8/P9zc3NizZw8A\nAwcOzPBnxMXFBT8/P3r27Mn8+fOzrEMRGhqa4Z4yZcrQoEEDfv75Z6uvW2HqGfURwE9KqRlKqSPA\n80ACegKelUbAJqXUPKXUaaXUamAO0MDEceZJ1JUoLty8YHWJuouDCwFeAbJPXZjNP6f/waAZsi6e\ndfkyfPwxPPssr4wZY5wOixWDZ5/Vz2K/cSPby+qXq4+NZiP71IXZbDi1geCywVZTPCtNI59GJCQl\nsD82+xMTXnnlFTNGJB5laRMZ1rSyJE3D8g2JjIkkMSXR0qHkWVEao5qm8cknnzBz5kx++ukn2rdv\nz8yZMwkNDSUxsfD93j1MQkICo0aNYv369UU6hqwS+nPnztGyZUuuXr3K6tWrCQwMTL+2WLFizJo1\ni5kzZ/LNN9/Qr18/jh8/To8ePWjdujU3b97M1L6Pj0/6PR9++CEpKSkMGTKE9957z2yfMz9Mlqhr\nmmYH1APWpL2m9McWq9ET8qxsAeqlLY/XNK0y0B7421Rx5sem05vQ0Kymsu/9mvo0lRl1YTYbT20k\n0CsQ12Kumd/85BNISYFRo4zb6QsvQEKCXpwuG8XtixNUNkj2qQuzUEqx/uR6qzmW7X71ytbD1mCb\n4/J3IYzh7PWzxN6KpUF5q5pfAfQZ9bspd9l7Ya+lQxE5aNu2LX379mXw4MFMmjSJN954g6ioKBYv\nXmzp0Iwqr7O5CQkJFo/BHM6fP0/Lli25fPlyhiQ9ja2tLX369KFv374MGTKE0aNHs3v3br744gvW\nr1/Ps88+m6lNV1fX9HuGDRvGpk2b8Pb25ocffiAlxXq3SZpyRt0NsAFiH3g9FvDK6gal1Bz0Ze+b\nNE1LBI4B65RSRpqOM45NpzdRx7MOJYuVtHQomTT1bcqJKyeIuRFj6VBEEbDx1MasjyiMitL3pL/9\nNnh4GLdTHx/o1k1v/yH/wDT2bszm07K6RJhe9NVozt84/9AjCgFITMzxeEFjc7RzJMgrSBJ1YRY7\nz+8EoH75h5YjsohAr0DsDHaFdp96UdasWTOUUkRFRWV6b9myZTRv3hxnZ2dKlChBx44dOXQo87a3\no0eP8uSTT+Lh4YGTkxPVq1fn/fffz3DN7t27adeuHa6urri4uPD444+zfXvGPy9py/O3bNnCa6+9\nhoeHB87OznTv3p1Lly5luHbXrl2Eh4fj7u6Ok5MTlStXZsiQIQCcOnUKDw8PNE1LX/ptMBgYPXo0\noC/xdnFx4cSJE7Rv354SJUrQv39/ACpWrMjgwZkXJ4eGhtKqVasMr929e5eRI0dSrVo1HB0dKVeu\nHE888QTR0dE5xpD269ajRw/KlCmDo6Mj9evXZ8mSJZn6PnToEK1atcLJyQkfHx8+/fRTUvPx792F\nCxdo1aoV8fHxrFq1iqCgoFzf++abbxIWFsbvv//OsRxqGTk6OhISEsKtW7e4ePFinuM0F0tUfdeA\nLL9da5oWCryLvkQ+COgOdNQ07f2srr9f+/bt6dy5c4YfjRo1YuHChRmuW7lyJZ07d850/0svvcTU\nqVMzvBYZGUnnzp2Jj4/P8PrCHxfitD3jmZanT5+mc+fOHDmSsZDb999/n6kISEJCAp07d2bTpowz\n33PmzGHQoEGZYuvVq1euP8ff3/wNkWRY/p7d5/joo48Y88CSZGv5HHn5/ZDPYZnPsXTDUqInRBNY\nIuOTzo8++ogx3bqBpycMHw7A2rVrjfs5XnlFrya/enW2n2Pz2M1EXYki9uZ/zwof5d8P+RyW+xwv\nvPACRJLhiML0z3H6NPzxB/ToAa6ufFSmDGM6doSrV832OTxOe2So/P7g50jr91H5/ZDPYbnP8daQ\ntyjnUo5yLuWs7nO88OwLBJUNyrBPvbD8fqTdM2fOHEaOHJkptkdddHQ0AKVKlcrw+q+//krHjh1x\ncXFh7NixfPjhhxw+fJhmzZplKGC2b98+GjRowPr163nuuef47rvv6NatG3/99Vf6NYcOHaJ58+bs\n37+ft99+mw8//JCTJ08SGhrKzp07M8X0yiuvsH//fkaOHMmLL77IkiVLePnll9Pfv3jxIuHh4Zw+\nfZp33nmHH374gf79+6cn/u7u7kycOBGlFN27d2fmzJnMnDmT7t27A/py7eTkZMLDw/Hy8uKrr77i\niSeeSH8vKw++npqaSocOHfj444+pX78+48aNY/jw4Vy/fp0DBw7g4eHx0BgOHjxISEgIR48e5Z13\n3mHcuHE4OzvTtWtXFi1alN5PbGwsoaGh7Nu3j3fffZcRI0bw66+/8u233+bwO5vRhQsXaNmyJbGx\nsaxcuZJ69erl6X6AAQMGkJqayurVq3O8NioqChsbG0qWzHnidfjw4UyaNClDnlmtWjV69OiR5xjz\nRCllkh+AHZAEdH7g9V+ABdncsxEY88Br/YCbD+knGFARERHKHGJvxipGoubsn2OW/vKj0jeV1PBl\nwy0dhnjEzdo3SzESFXczLuMbmzcrBUpNn57+UqdOnYzbeWqqUnXrKtWxY7aXnL56WjESteDwAuP2\nLcQD3ljxhqrwdYWMLx49qlTfvkoVL66Ph+BgpT77TKn+/ZWys1PKyUmpF15Q6tAhk8c3Z/+crMfq\nPUYfn6LIenzG46rLnC6WDiNbry59VVX5roqlw8iz+8doRESEMuf3XnP65ZdflMFgUGvXrlXx8fHq\n7Nmz6o8//lAeHh7KyclJnTt3Lv3amzdvqlKlSqnnn38+QxtxcXGqZMmS6rnnnkt/rXnz5srV1VWd\nPXs22767du2qihUrpk6ePJn+WkxMjCpRooQKDQ3NEKOmaSo8PDzD/a+99pqys7NT169fV0optXDh\nQmUwGFRkZGS2fcbHxytN09SoUaMyvTdw4EBlMBjUe++9l+m9ihUrqkGDBmV6PTQ0VLVs2TL959Om\nTVOapqlvv/02XzG0bt1aBQYGqqSkpAyvN2nSRFWrVi3958OHD1cGg0Ht2rUrQ7slS5ZUBoNBnTp1\nKtv+lVJq5MiRStM0VbFiReXq6qp27NiR7bUDBw5ULi4u2b6/Z88epWmaev3119NfCw0NVTVr1lTx\n8fEqPj5eHTlyRL366qtK0zTVtWvXh8aW03hLex8IVibIp21N+AAgSdO0CKA1sBhA0x/1tAa+y+Y2\nJ+DBdRKp927VlLL8Roq0pbTWVkjufk18m7DpjOxTF6a149wOqpSugntx9/9eVApefx0CA+HeEi2A\nHwp6NNuD0o5qGzoUTpyAypUzXeLj6oN3CW+2nNlC1+pdjdu/EPfZFbOLx8o99t8LsbEQFqb//9tv\nQ69e4O//3/v/93/w00/w448wcaJeb+G+8WJsId4hgH6GdKdqnTK9b/TxKYokpRS7zu/ijUZvWDqU\nbDX0bsh3O74jPiEeN6csDyCySgUaowkJ+go0U6peHZyccr4uF5RStG7dOsNrlSpVYvbs2ZQr999K\njVWrVnHt2jV69+6dYcm5pmk0bNiQdevWARAfH88///zDiBEjKF++fJZ9pqamsmrVKrp160aFChXS\nX/fy8qJv375MnjyZmzdv4nzv9BpN0xg6dGiGNpo1a8Y333zDqVOnqF27NiVLlkQpxeLFi6lTpw62\ntvlLuZ5//vl83Qcwf/583N3dM8z059aVK1dYt24dH3/8MdeuXcvwXlhYGKNGjSImJoayZcuybNky\nQkJCMsyAlylThn79+vHjjz/mus+4uDhKly6Nl1eWO6RzJe336MYDBYcPHz6Mu/t/31cNBgOdOnXK\ntErG2pgsUb9nHDD9XsK+A70KvBP6rDqaps0Aziql3r13/RJghKZpe4DtgD8wGlhkDUk66PvTK7hW\nwLuEt6VDyVZTn6bM2T+HW4m3rO54FPHoiIiJoF7ZB5Yl/fEHbNsGa9aA4b+dNSY5WqZvX/jf//QK\n8J98kuUljX0aS+V3YVKpKpXImEjebvK2/sLt29C1K9y9Czt26DUVHuTlBR99pCfxzz8PgwZBmTLQ\nrp1JYqzgWgEvZy+2nt2aZaJeVI5+EqZ1/PJxrt65mvGhlZVJe2i1/ex2OlTtYOFocq9AY/TIEcjH\nEuI8iYiA4GCjNKVpGhMmTMDf359r164xbdo0Nm7ciL29fYbrjh07hlKKli1bZtmGq6te5PbEiRMA\n1KpVK9s+L168SEJCAlWrVs30Xo0aNVBKcebMGWrUqJH+us8Df7enLcu/cuUKAC1atKBHjx6MHj2a\nr7/+mtDQULp27Urfvn0zfZbs2Nra4u2d/3wjKiqKatWqYTDkfafz8ePHUUrxwQcfZNrLD/qvcVxc\nHGXLluXUqVOEhIRkuqZatWq57k/TNGbOnEm/fv14/PHH2bRpU4bEOrfSKr67uLhkeL1SpUpMmTIF\ngGLFiuHv74+bm/U/rDNpoq6U+u3ememjAU9gDxCulErbte8N3H+468foM+gfA+WBi+iz8TnuUTeX\nrWe3Wt05uQ9q4tuEFJXC9nPbaVWpVc43CJFHKakp7I7ZTeeq9+3jS0mB99+H9u2hlRn+3Dk5QYcO\nsHRp9om6d2PeWv0Wd5Pv4mDrYPqYRJFz/PJxrt+9ricnSsHgwbBnD2zcmHWSfj8HB5g8GS5d0vew\nr10LDRs+/J580DSNRt6NpKCcMKm0QnLWnKhXKlkJNyc3tp8rXIl6gVSvrifSpu7DiOrXr0/wvcS/\nS5cuNG3alL59+3L06FGc7s3cp6ampid3np6emdpIm8HOzTxffuYCbWxscmzrt99+Y8eOHSxZsoQV\nK1YwePBgxo0bx7Zt29I/x8M4OGT9vSW7PeopKSkZZu4LMseZVgjujTfeIDw8PMtrqlSp8tCY8tp/\nixYt+O233+jevTvh4eFs2LAhU8KdkwMHDmSKDaB48eJZPtSxdqaeUUcpNQGYkM17rR74eVqS/rGp\n48qPlNQU9lzYQ8+aPS0dykPVdK9JyWIl2XJmiyTqwiSOXT7GraRbBJe97wn6woXw77/w66/mC6Rd\nO5g1C2JioGzZTG838W3C3ZS77L6wO30mRQhj2nV+FwD1ytWD0aNh7lz47Teon8uq17a2+j3h4fpD\nrk2b4L5ZG2Np5N2IURtGkZyajK3B5P/0iyJo1/ldVC5VmTJOZSwdSrY0TSPEOyRDQblHnpOT0Wa7\nLcFgMPD555/TsmVLfvjhB958800A/Pz8UErh7u6eqdL5/fz8/ID/ErispFWCP3r0aKb3Dh8+nH4O\nd340aNCABg0a8PHHHzNnzhz69evH3LlzGTx4cLYJd05KlSrF1fsKkqY5depU+ucFPVndsWMHKSkp\n2T5YyC6Gyve2FNrZ2T301xegQoUK/Pvvv5lez+rXMycdO3Zk2rRpPP3003Ts2JGVK1dm+8AiKzNm\nzMBgMNCmTZs8922NLFH1vdA6eukot5NvZ0xOrJBBM1CvbD0iYyItHYp4REWc15/Op48FpeCLL6Bl\nS2iQ+fzcB6vfGk14uL5fffnyLN8O8AzA0dZRlr8Lk0lLTkovXAEjR+qrO3rm8WGukxMsXgzlyul7\n28+cMXqcjXwacSvpFgfiMn9ZNdn4FEXKzvM7qV/O+o5le1DD8g3ZcW4Hqcq8RyUWRFEfoy1atKBB\ngwZ88803JCYmAhAeHk6JEiX47LPPSE5OznRPWiV+Nzc3mjdvzrRp0ziTzd+tBoOBsLAwFi1alKFa\nfGxsLHPmzEk//i0vskqkAwICAP3INCB9Vj2rax/Gz8+Pbdu2ZfjcS5YsyfT5nnjiCS5evPjQGgfZ\nxeDu7k5oaCg//fQTFy5cyHTf/ScdtG/fnm3btrFr16701y5evMicOXPy9LnS9O/fn2+++YZ//vmH\nJ554ItfnnH/xxResWrWK3r17Z3hgUZjJY/U8SEt8A70Cc7jS8oK8gvj90O+WDkM8oiJiIqhcqjKl\nHO8dlbJuHezalW3CnJCQYJpA3Nz0BwNLl+r7fB9gZ2NHg/IN2HxmM681es00MYgibdf5XbTXqul/\n/vr3h3ffzfmmrJQqBStWQOPG0LGjPp7s7IwWZ72y9bA12LL1zNZM/4aZbHyKIiM5NZnImEi6VrP+\nwp0h3iFcu3uNo/FHqeFu/NUrplCUxmh2y6X/97//0bNnT3755ReGDh2Ki4sLP/74I0899RTBwcH0\n7t0bd3d3Tp8+zd9//03Tpk357ju9dvV3331Hs2bNCA4OZujQoVSqVIno6GiWLl3K7t27Afjkk09Y\nvXo1TZo04cUXX8TGxoZJkyaRmJjI2LFjcxXj/a9Pnz6dCRMm0K1bN/z8/Lhx4waTJ0/G1dWV9u3b\nA/pe6Zo1azJv3jyqVq1KqVKlqF279kP30wM888wz/PHHH4SHh/Pkk08SFRXFzJkzMy33fuqpp5gx\nYwavvfYa27dvp1mzZty8eZM1a9bw0ksv0alTp4fGMH78eJo1a0adOnV49tlnqVy5MrGxsWzdupVz\n586l/9q9+eab/Prrr4SHhzNs2DCcnJyYPHkyFSpUYN++fQ/9LNl55ZVXuHz5MqNGjWLAgAHMmjUr\nffY/OTmZWbNmAXDnzh1OnTrF4sWL2b9/P61bt+ann37KV59WyRSl5M35AzMezzZi+Qjl962fyfsx\nhtn7ZitGoi4lXLJ0KOIR1Pzn5qrnbz3/eyEsTKnAQP3YNHMbOVIpV1elHjg+JM2bK99UPuN8zByU\nKAqSU5KV82fOam/H+kp5eip161bBG42MVMpgUGrs2IK39YDHJj2mBswfYPR2hdh3YZ9iJGp99HpL\nh5Kjq7evKm2kpn7e/bOlQ8mXonA8W1afLTU1Vfn7+yt/f3+Vet93jQ0bNqh27dqpUqVKKScnJ+Xv\n768GDx6c6Vi0Q4cOqSeeeEKVLl1aOTk5qRo1aqiRI0dmuGbPnj2qXbt2qkSJEsrZ2Vk9/vjjavv2\n7bmKcf369cpgMKgNGzYopZTavXu36tevn6pYsaJydHRUXl5eqkuXLpni2rZtm6pfv74qVqyYMhgM\n6cekDRw4UJUoUSLbX6uvv/5a+fj4KEdHR9W8eXMVGRmpQkNDVatWrTJcd+fOHfXBBx8oPz8/5eDg\noMqVK6d69eqloqOjc4xBKaWio6PVwIEDVbly5ZSDg4Py8fFRnTt3VgsWZDz69sCBA6ply5bKyclJ\n+fj4qM8++0xNmzYt18ezGQwGdelS5pzl1VdfVQaDQb344ovpvy4GgyH9h7Ozs6pcubLq2bNnppjS\nhIaGqrp16z40huxY+ng2TVlHMfV80zQtGIiIiIhILzxhKqG/hOJR3IPfev5m0n6M4Uj8EWqMr8Hq\nAatpXbl1zjcIkUupKpWSX5Tk3Wbv8nbTt2H3bn3/2+zZ0KeP+QPauVOfVd+4EZo1y/T23ANz6fNn\nH+L/F2/VeydF4XP44mHaflaT6B9sMHz+BbxhpGOphg2DKVP0as353BeZlVeXvcqy48s49soxo7Up\nBMC03dN4ZvEzXHv7Gi4OeSv+ZAm1JtSimW8zJnacaOlQ8iwyMpJ69ephju+9QhR1OY23tPeBekop\no+85lj3quZSqUtl9YbfV709P41/aHyc7J3Zf2G3pUMQj5vjl49xIvPHf0Wxjx0KlSnnfl2ss9eqB\nu7u+/D0LQV5BAOy5sMecUYkiYNf5Xby1CXB11Y9ZM5aPP9bbHD7ceG2iF5Q7fvk48QnxOV8sRB7s\nOr+LGu41cp+kp6bC1at6fRMLCCkfwvZz2y3StxBC5JYk6rl04soJrt+9XmgSdRuDDYFegZKoC6PL\nUEjuxAm9wvUbb+jVq7Nxf9ERozMY9KJyy5Zl+XaV0lVwsnOSRF0Y3bF963lmNxheex3yWGjooUqU\ngHHjYP78bB9A5Ue9cvrDtb0X9mZ43aTjUxQJeSokt3YtBATodRlKloTAQOjWDV5/HfbvN22g9zT0\nbsi+2H3cSrxllv4KSsaoEEWTJOq5lFZILm12rjAI8gqSyu/C6CJiIqhYsqK+jPzLL6FMmSwLud1v\n8ODBpg2qfXvYuxfOncv0lo3BhgDPAHloJYyu9oxlJBazg5dfNn7jvXrB44/rbd++bZQm/Ur5ZfnQ\nyuTjUzzS7ibfZe+FvTmfn37iBHTvDq1b6w+jpk+H996DRo30P+Pz5kHDhpDPStF5EeIdQqpKJSLG\nxOeLG4mMUSGKJknUc2l3zG68S3jjXtzd0qHkWnDZYI7GHy00T4xF4RARE6Eve4+Lg59/hldfBUfH\nh94zcuRI0wYVFqbPrGdTdT7QK1Bm1IVRJceco9P6GPb1CtWTDmPTNBg/Xn/49PnnRmnSxmBDXc+6\n7InNOBZMPj7FI21f7D6SUpOyn1FPStIT8ho19Jois2fDpk3w1FPw5pvw44/6393HjsETT0Dfvvoq\nrSyO3DKWWu61cLJzYue5nSbrw5hkjApRNEminkuRFyILzbL3NEFeQSgUe2P35nyxELmQqlKJjLk3\nFn78EWxs4MUXc7zP5AVvypTRC8pls/w9yCuII/FHuJ1knJlJIa58+gFJBlCvvmq6TqpWhbfegjFj\n4N9/jdJkoGdgpqXvUpBKFMTO8zuxNdgS4BWQ9QXvvqv/GX77bb1AYp8++oOoBzk6wowZ8M03+o92\n7eDSJZPEbGOwobZH7ULz/UjGqBBFkyTquaCU0pMTr8L1F2Utj1rYGezYHSNLfoVxpNVqeMwtACZN\nggEDoHRpS4ela98eVq3SZ28eEOgVSIpK4UDcAQsEJh458fGUnDabHxpAnerNTdvXO+9AuXL6jKQR\nBHoFcjj+MHeS7xilPSF2nd9FXc+6FLMtlvnNBQv0LVJjx8KoUVC8+MMb0zT91INVq2DPHqhfHy5c\nMEncAZ4BhSZRF0IUTZKo58LZ62eJT4jP+4x6YqK+lGv5cpgwAb76Cr79Vl/O+NNP+v6sPXsgJcUk\ncdvb2FPbo7bsUxdGk1ZILmR3HJw/Dy+8YOGI7tOuHVy/Dlu2ZHqrtkdtbDQb2acujOObb0hNTWFJ\nez9KOJhg2fv9HB31Gck//4RDhwrcXIBXAMmpyRy6WPC2hICHFJI7fhwGDtT3pY8YkbdGW7aEXbsg\nIQGeecYk1eEDPAM4fPEwiSmJRm9bCCGMQRL1XEhLdHNM1JWCbdtg6FCoWFH/glW1qp5ADBsGo0fr\nX7hee01fLjxwIAQF6VVP27SBjz6CrVuNGnuQV5AkJ8JoImIi8HX1pcS0WdC4MdStm6v7pk6dauLI\n0M9y9/DIcvm7o50j1d2qyz51UXDJyTBpEgubueFXLcQ8fT79NHh7w6efFripOh510NAyjAWzjE/x\nSLqVeItDFw9lLiR3+zb06KH/nTxtWtZL3XNSoQJMmQJ//63/18gCvAJISk3i8MXDRm/b2GSMClE0\nSaKeC5ExkXgU96CcS7msL4iJ0Zd11aypVy9dvlwviDJxIqxeDdHR+j9a167BrVtw964+i56QABs3\nwvvv60n9+PF68tOrV5bVq/MjuGwwB+IOyBNjYRQRMRF0VP6wZk2u9qaniYw0w6oOgwHats1+n3pZ\neWgljGDNGrh4kW+qXs65yrWx2Nvre9XnztVXaRVAcfviVC1TNcM+dbOMT/FIioyJJFWlZp5Rf/ll\nOHpUXwni6pr/Djp21GfUR4yAqKiCBfuAup76g+bCsPxdxqgQRVP2Bx+LdJEXIgnyCkLL6onw9Onw\n3HP6/3fvDt99B61a6UW2cuLoCM2a6T9An5GfOVOvdlq9OowcqVfUtrPLd+xBZYNISk3iYNxBgsoW\nnqPlhPVJq9XwWUQNcHPTZ0tyafz48SaM7D7t2unFiM6dg/LlM7wV6BnI/MPzSUlNwcaQi/EpRFZm\nz+aOX0W2uZ9kbNl65ut3yBB9Rv2zz/TTFgogwCsgQ+V3s41P8cjZdX4XjraO1PKo9d+LP/+sz6L/\n/HOuV1091Lhx+gOyp5+GDRty9/0qF0o4lKBSyUr6Q6ts6uBZi6zG6OHD1r8SQIjCztLjTBL1XIiM\nieTpgKczvpiSos9wfPWV/gXqyy/1JewFoWl6ca5OneCDD/RjS375RU88gvKXZAd4BqChsfvCbknU\nRYFEX43m7vWrBK/YD8+/CA4Olg4ps9BQ/b9btkDPnhneCiobREJSAscuH6O6W3XzxyYKv9u3Yf58\nDvZrjaadMu/fqcWKwf/+p//48EOoVCnfTQV6BjLm+BiUUlk/gBYil/bG7qWOZx1sDfe+Tl65AsOH\n61v7Bg40TicuLvqkSIsW+nett94yTrvoD60Kw4z6/dzc3HBycqJ///6WDkWIIsHJyQk3NzeL9C2J\neg5ib8Zy/sb5jPvTr12D3r1h5Uq9ONwrr+Rv/1V2SpaE77+HQYP0hwBhYXri4e+f56aK2xenmls1\nImMiGRw02HgxiiIn4nwEvQ+A7Y1b/60isTZeXnp9iK1bMyXqgV6BAOyO2S2Jusifv/6CmzdZHOxE\njeQaONs7m7f/557Tz1T/4gu9IGk+BXoFcu3uNU5dO0XFkhWNF58ocvbH7SfI674HVt9+qxfS/fxz\n43bUrJn+kOqDD/QtTgHGmQIP8Axg/M7xheqhla+vL4cPHyY+Pt7SoYh7klOSaTG5MRt/BpvXXte3\nsFoDpfQJjAED9C0kDzF8+XBSUlP4vv335omtEHFzc8PX19cifUuinoO0Pa3pifqxY/qMd2ysvhe9\nTRvTdR4crC/3atJE/4dpyxbw9MxzM1JQThhDREwEr+62Q2v7OFSubOlwsteoUZZFGUs7lsbX1Zc9\nF/bQp04fCwQmCr05c+Cxx1huiKKeOZe9p3Fygtdf15OV998HH598NZN23vWeC3skURf5lpyazMG4\ngzxV9yn9hatX9fPPn39ef2hqbKNH69+7hgyBnTuNMkES4BlAfEI8MTdjsq9DZIV8fX0tljiIzA7E\nHT6IngAAACAASURBVKCuSqF+MnqNKms6975BA/2IwxxianalGdP3TifYmmIXUkwuJ5Exkbg6uFKp\nZCW9EFx4uP7G9u2mTdLTlC6tF8dKSNCLqty8mecmgssGs+fCHlJSTXMMnCgabmxeS+CZpHwdyda5\nc2cTRJSNkBCIjNSLNj4g0CtQHlqJ/Ll6Ff7+m9Q+fTgQd4AATwttan3xRX0p8Nix+W6irHNZ3J3c\n0yu/m3V8ikfG8cvHuZtylzqedfQXvvtO/3v3zTdN06GDgz5jHxGhV4I3grSHVvcXV7RGMkat277Y\nfQTHgLKxMU5dBmOqV0//TpSDup51OXfjHJcSLpkhKJFbkqjnIDImkuCywfqSqPfe059K/fWXfuya\nuVSsqCfrR47oy2mSk/N0e5DXf3tzhcgPpRSNl+zlqqcrtG+f5/tffvllE0SVjUaN9KWXuzMn5EFe\nQey5sAdlgjN5xSNu/nxISuJ0eAgJSQnU9qhtmThcXPQ9wJMn6yu78kHTNAK9AtP35pp1fIpHxv7Y\n/YB+5B/XrsHXX+vH05Yta7pOW7TQl8GPHm2Us9UrlqyIi70L+2L3GSE405Exat32xe6j2aXiaDVr\n6vVErElwMJw6BZcenoCnnYJg7WOhqJFEPQeRMXrFd7Zs0Z8Wf/wxVKli/kACA/UviitX6svK8vAP\nVFrBo90xMpMo8ufs6QN025vIhb6d81VxNywszARRZSMgQP+HMovl74FegVxMuMj5G+fNF494NMye\nDS1bsscmDuC/WURLePll/TjCyZPz3USAZ0D6jLpZx6d4ZOyP249ncU/ci7vr349u3zZqobcsaZpe\nTHHnTn0ZfAEZNAN1PetafUE5GaPWbV/sPurH2ea78LNJpS1lz2FW3b+MP8Vsi0mibmUkUX+IK7ev\nEH01msdK19b3RNWvr89kWEqbNjB1qv5j7txc31basTQVXCsQGSPncIr8uTpjEg4p4Dz0FUuHkjN7\ne3jssSwT9bSiR2kJihC5EhMD69bBvWXvpYqVoqyzCWcNc1KqFPTvDxMn5nmFVZpAr0BOXj3J1TtX\njRycKCr2x+3XZ+GuX/9vNr2cGfZ5t24NjRvDqFFGmVUP8Cx8ld+FdTl0fi8Vz9y0zkS9ShV9JVYO\nibqtwZZa7rUkUbcykqg/RNpe1jazt0FUlH4uqJHO78y3p56Crl31PWAJCbm+LbhssOzNFflWet5i\nVle1oXy1xywdSu5kU1DO19WXUsVKyVgQefPbb/rf/U88wf64/dTxrGP5CtEvvQTnzsGiRfm6Pe0U\nBGvfmyus177Yffqy9++/12v4mHo2PU3arPr27bB6dYGbC/AK4Gj8Ue4k3zFCcKKouZRwCZfo89gl\npVhXEbk0BoP+ACEiIsdL63rWZV+cJOrWRBL1h9h7YS8hcQ6U+X6qXmG3Vi1Lh6T7v//T9yb+3//l\n+pYgryAiYyJlb67Iu6NHKX/wNP+EVs53crJw4UIjB5WDRo3g7Fn9x33S9ubKjLrIk9mz9doMpUpx\nIO4Atd0ttD/9fgEB0LQp/PBDvm6v5lYNBxsH9sbuNf/4FIXezcSbnLhygiDnKjBuHDz7LJQvb74A\nwsL0atZGmFUP8AwgRaVwMO6gkYIzPhmj1mt/3H6CYu79JDDQorFkKzg41wXlDsQdIDk1fyu1hPFJ\nov4Qh8/v4+clBr04xNtvWzqc/1Spoi/BHzMmUyKSnaCyQVy5c4XT106bODjxyJk+netONlx6vEm+\nm5gzZ44RA8qFkBD9v9nsU5cZdZFrx4/Djh3Qty93k+9yNP6oZfen3+/ll2H9ejhwIM+32hpsqe1R\nmz0X9ph/fIpCLy2pDV1xVD+NxtzfkTQNPvoINm/Wt6UUQG2P2mhoVr38Xcao9doXu4/6sTYoPz8o\nUcLS4WQtOFhfGXz14Vud6nrW5U7yHY5fPm6mwEROJFF/iEqLNlD13B19T7i9vaXDyej99/U9J7n8\nx7GOh/7F8kBc3r/QiSIsJQU1YwZzaiuqe+f/SfG8efOMGFQulC0LFSrAtm2Z3gryCuLElRNcu3PN\nvDGJwumPP6B4cejYkaOXjpKiUixX8f1B3brpf9YnTMjX7WmrS8w+PkWhtz9uPwY0yv22XD832tvb\n/EG0a6cfPTV6dIGaKW5fHP8y/la9DUTGqPXaF7uPxvGOaNa4Pz1NvXr6f7M4Ded+Uvnd+kiing2l\nFC02nuJkfX+9iJy1KVECPv0UZs3KMhl5kK+rL872zhy8aL1Lu4QVWrMG7dw5ptZNtZ7kJLey2aee\nvjfXimdPhBVZtkwvXuXklH4cldWMBXt7vYDXjBn68Vh5FOgVyMGLB0lKSTJBcOJRtj92P91veGM4\nehQGDfp/9t48Oq7qyvf/XJUma549yrYGS5Zky7YMGGGC8YDBYAQYiPHrl07M6/TLC8nr1Sshv193\nv/WD7tfdb0H/0p33y/C6k6ZD0p0AIRgHMJYHjA02BoznQbI1WJZtbMma56nq/P44KrlKqlJVSVV1\nb9U9n7W8BLfOrbuvSqfO3Wfv/d36GGGvVT90SP6bBkpQTjFVzt08Q9H1QWMKydkpLIQZMzymv2fE\nZTAncY5y1A2EctTdcP3sEe65YqPryUf1NsU927fLepg/+zOw2SYdqmkaxZnFylFX+MavfkVX7lyO\nzTWQc+It5eVSPGVw0Onw4ozFxFhiVJ26wjOdnbI150MPATIjKTspm5TYFJ0Nc+BP/1T+jf/qVz6f\numzmMoasQ1S3VAfAMEU4c6b5DN88EyUj6evW6WfIo49K/aApajXYsTvqSsdH4QtWm5Wei2eJ6xs2\nppCcHYtF+gte1qkrR904KEfdDb2v/oLeKEjb9qzeprjHYoEf/UjWT/72tx6Hl2SWGFosRWEwOjth\nxw4+31BERnwGWfFZelvkG+XlMDQ0IdUryhLF4ozFai4oPHPggGx/Nuqon20+a7wNqzlzZOrxT3/q\nccN2PPY0R7VppfAFIQQ1185w3ydfyk40enbD0TS5WbVzpxTZnSLLZi2jY6CDq11X/WicItypb69n\n8dXRbgFGjqiD94JyWaUqu8RAKEfdFUKQsaOSd0siyZ5bpLc1k7NmjXxI+6u/8thPtySzhKqWKmzC\nt4c5hUn53e9gaIg3y2Kl2M402lFt1yM1ctkyiI11mf5eklXChZYLwbdJEVpUVsqUwZwcQDrqdr0P\nQ/Hcc3DpEnzwgU+nJccmk5uay0vPvxQgwxThyM2em9x7so3Y3gH4xjf0Ngf+83+WmwVTyCqxs2zm\nMsC47Qp1WUMVHjnTdIayG2CdNRNmztTbnMlZuRIuXoTu7kmHLZu1jMbORjoGJheeUwQH5ai74uRJ\n0q808+l9U29HFVT+4i+gsRHee2/SYSVZJfQN99HQ0RAcuxShza9+BQ88wMcjddNuR7Vx40Y/GeUD\n0dFwxx0uNRyKM4o533xepTkq3COErE8fjaZ3DXbR2NlovIg6yDZtpaVTSv9dNnMZ5AXAJkXYcrb5\nLN84Bf2rVsKiRXqbA2lp8PTT8ItfTLlV27ykeaTGpho2kqjLGqrwyJmmM9x9KxpL2Uq9TfFMWZmc\nH6cn/xu3Z1rZNVkU+qIcdVf85je0JUbSu+YevS3xjpUrYdUqmfo4CSWZsg+8SvlVeKSmBo4cYfhr\nf8Sl1kvTdk62bdvmJ8N85O673UbU2wfaaeqdeqqkIsypqoKrV53q0wHjtGZzRNPgW9+CXbvg5k2f\nTl2StYS2/LYAGaYIRy6fO8wD9RDzX/5Ub1Nu881vylaKBw9O6XRN0yidadyUX93WUMWknGk+w/Kb\nGD/tHaC4WAYwPKS/F6YXEhURperUDYJy1MdjtSJ++1teLxEUzTbgA5k7nnsO9u+XaS1umJc0j6SY\nJCUop/DMr34FyclUry7EKqyUZJXobdHUKC+Xztb1606HizOLAbVppZiEykpZOrFmDSAddYtmYXHG\nYp0Nc8Mzz8j039/8xqfTijOLudFzg/b+9gAZpgg30n7/HsNREURsfUZvU27zla/IMpVf/GLKb7Fs\n5jLDpr4rjMmNSydI6xwytpCcnagomXl1/PjkwyxRFGcWK0fdIChHfTwHDqDdvMmrS6xjEeiQ4Omn\nISNj0n66Svld4RVCyIf9r36Vc911AKE1FxwpL5c/x0XVc1NzibHEcOGWqlNXuKGyUjrpM2YAMg1w\nUfoiYiNjdTbMDamp8Pjj8OqrPqX/2jetqlqqAmSYIqwQgjv3XeDkPTmyTaxR0DT4kz+Bt96ClpYp\nvcWyWcuobauld6jXz8YpwpHuwW7Sqhvl/4RCRB1kBq6Xyu9GzS4xG8pRH89vfkPPgjmh144qNlam\nfr36KvT0uB2mlN8VHvn8c2hogG3bONd8jrmJc0mdkTqttzx8+LB/bPOV2bNhwYIJjnpkRCSFGYVq\n00rhmt5e2Zd506axQ+dunTP+mvCNb8C5cx4jJo4UpBegNWpq00rhFSOfHGZh0yA3tjyotykT+frX\n5SbVv//7lE5fkrUEgeBiq/vMRL3QbQ1VuOVc8zlW3ISR5ERYuFBvc7yjrAwuXIC+vkmHLZu5jLPN\nZ5X4tAFQjrojfX3w1lucXFdEcmwycxLn6G2Rb3zrW9JJnyT10a78brVZg2iYIqR4/XWYNQvuu89v\nzsnLL7/sB8OmSHm5S0G5kswS5ZwoXHPokGztN1qfLoTgbJNBFd8d2bhRtmt79VWvT4mNjCXu8zg1\nFxRe0f3zn3AlGVIefkJvUyaSmQlPPDFlUTl7WUvVLeNll+i6hipccrb5LCtvQMTyFTKjIxQoK5Nt\nPM9MntZeOrOUvuE+6tvrg2SYwh3KUXfk3Xehp4e3V8ZRklUSGorvjsyfD48+KkXl3CxSJVklDIwM\ncLnjcpCNU4QEViu88QZ89atgsXCu2T+O+uuvv+4H46bIypVw6pS8NwfsZSBK+V0xgd27ZYSkoACA\npt4mWvtbje+oWyzwta/Bb38Lg4Nen3b/9+9XjrrCM/39JOx4l18tg6WzlultjWu++U0pBHnkiM+n\nJsUkMTdxriHngq5rqMIlZ5rOcGdzFBGhoPhuZ+lSiIz0mP5uV35Xder6E3BHXdO05zRNu6xpWr+m\naZ9qmnanh/HJmqb9VNO0L0fPqdY07aFA2wnAf/wHrFrFAUvjtNtR6cZzz8HZs+AmTUopvysm5fBh\nuHEDnnmG3qFe6tvr/eKox8XF+cG4KbJihcyWqa11OlySWUJbfxvNvc06GaYwLJWVMpo+ullrb1Nj\n+NR3kOm/7e1y49lLSueVGtI5URiMPXuI6ulnz6p0MuMz9bbGNevWQW7ulEXlijOLDanXoOsaqnBJ\n/eUTZLcOh059OkBMDCxZ4tFRz4rPIm1GmloXDEBAHXVN07YCPwReAFYAp4E9mqZluBkfBewH5gNb\ngELgm8B1V+P9SlcXVFZi3baV6pbq0FW5Xr9eRoHctGqbkziH5JjksVZDCoUTr78ua7rvvnvsCzok\nnJPJWL5c/jx50unwmPK7qlNXOFJbK/89dHt/+FzzOWZEziA3NVdHw7ykqEi26/zlL70+pTizmKtd\nV+ka7AqgYYqQZ+dOGucmEr/UwArXERFSVO53v4OODp9PL8ooUs6JwiNCCCynR/uMh4LiuyNlZR51\nTDRNoyijyJCbVmYj0BH1Pwf+RQjxayFENfAtoA941s34/wKkAI8LIT4VQjQKIT4WQpwNsJ1SQGtk\nhMY7Chi0DoauynVEBHz721L59MaNCS9rmkZJVolyThQTGR6G3/8etm4FTeNc8zk05Jd1SJOeDtnZ\nExz1vLQ8oi3R6qFM4cyePbKNzbp1Y4fONp+lOLMYS4RFR8N8YPt2mRXgYg1whX3TqrqlOpBWKUKZ\nkRF4913eK7YYvwTkj/9Yln7s3OnzqcWZxdS21TJkHQqAYYpw4VbfLfIbe7DGRMu2gKFEWZkUHfVQ\nHlWUUWRIvQazETBHfTQ6vhL4wH5MyGLQ/UC5m9MeBY4CP9M07aamaWc1TfsLTdMCX0t/9CikpHAy\npR8I8Sji178O0dHwb//m8uWSTOWoK1xw4IBsa/OM7I17rvkcuam5xEfHT/utn3/++Wm/x7RYsULW\nqTsQGRFJYXqhKgNROFNZCffeC4mJY4fONp9l6UyDOyeObN0qNxv+4z+8Gv7r//fXaCjld8UkfPwx\ntLXxbws7jD8X5s6VfdVfe83nU4syi7AKKzWtNQEwbOrovoYqnKi6VUXZDRgqKZQ136FEWZnceDs/\n+bNPUWYR1S3VSvldZwLpAGcAFqBp3PEmYJabc3KBp0ft2gT8T+B7wF8GyMbbHD0Kd9/N+ZYq0mek\nkxWfFfBLBoyUFHjsMZn65YKSzBKqW6oZsY0E2TCFoXn9dVk2MZoq7s92VPPnz/fL+0yZFStkRH2c\ncFxxZjEXWpRzohhlcFBuWDmkvduEjfPN50NLtyQlRapf//KXXqlf5y3MY2HKQuWoK9yzcydDs7M4\nPidEAhnbtsEHH0Czbxok9uwSo6X86r6GKpyoaqli+U2IvmOV3qb4ztKlUn9lXPBiPEUZRfSP9NPY\n2RgkwxSu0EP1XQPcPTlEIB35PxVCnBRC/A74O+C/eXrThx9+mIqKCqd/5eXl7ByX+rR3714qKiqc\nT7bZeO7AAV6JjubcrXNjiu8nTpygoqKClpYWp+EvvPACL730ktOxxsZGKioqqK52Th388Y9/PGEn\ntK+vj4qKigl9MV977TW2b98+4d62bt3q3X0Azz33HK+88go8/bRsv3Dp0oT7KMkqYcg6xJ/9X39m\n/PtwIKQ/D6Pfx+Ag7NjB3jvvpOKxxwCcFN+nex+PPfaYvp/H8uVw6xbPbd/udB8lmSWcPnnaeJ+H\nu/sYJWT+rkLtPj77TAoPbtgwdh/17fX0j/SzdObS0LkPkD3Vq6rYunGjx8/ju9/9LkWZRfzu5d8Z\n7z5GCem/q3C4j507qV9TCppsY2b4+5g3Tzojb77pfB/jGH8fGXEZJF1L4n98838Y4z5GP4/vfve7\nPt0HGOzzCLP5UXP9LEUt8LsRW+jdx3/6T3J+OJQDuvo8ijKL4E145bfOthnmPnT4u/r5z3/u5GcW\nFhby1FNPTXgPvyKECMg/IAoYBirGHX8VeNvNOQeBveOOPQRYgUg355QB4vjx42LKVFUJAULs3StK\nfloivv3et6f+Xkahr0+IhAQh/vZvJ7z0ZdeXghcRb114SwfDFIZk5045B86fF0II0drXKngR8drZ\n13Q2zE80NMj7e+89p8O/P/97wYuIpp4mnQxTGIq/+RshkpOFGBkZO/R21duCFxHXu67raNgUGBkR\nYs4cIb7zHa+Gf3/P90XOj3ICbJQiJDl+XAgQ//ryNjHvH+fpbY33bNokxOrVPp923y/vE8/8/pkA\nGKQIF779P++WzxSffKK3KVNj61Yh7r130iFWm1XE/V2c+OEnPwySUaHJ8ePHBTIAXSYC4E8HLKIu\nhBgGjgPr7cc02Zh8PfCJm9OOAPnjjhUCN4QQgcvTPnoUNI3hO8q41HopdBXfHZkxAzZvHttNdmRW\nwixSY1NVba7iNq+/DqWlUDyqhD76txESKY7eMH8+pKZOEJSzz3U1FxQAHDoka1stt0XjzjefJzU2\nldkJs3U0bApYLPDVr8o1wGr1OLw4s5iGjgb6hvuCYJwipHj7bUhNpXJOH4szFuttjfds2yb7qTf6\nlrqrRLQUnog9fxGbhkwjD0VWrIDTp8Hmvv48QougML1QzQWdCXTq+z8Cf6pp2h9rmrYY+GcgDhlV\nR9O0X2ua9vcO4/8PkK5p2v/WNG2RpmmPAH8B/CSgVh49CiUl1Iw0MWwbDl3F9/E8/bSciDXOoihK\n+V3hRG8vvPPOmIgcyLT3yIhICtIL/HKJ8alMQUfTZPr7eOX31DyiIqJUba4Chobgk09gzRqnw9Wt\n1RRlFqGN9lQPKZ55Bpqa5AbEJFRXV1OcWYxAcLHlYpCMU4QMO3fC5s2c77gUWl1AHn8cYmPhjTd8\nOq0oQ4poWW2eN7iChe5rqGKMnqEesi+30zNvJiQk6G3O1Fi+HLq7ob5+0mFFmapFm94E1FEXssb8\ne8DfACeBUuBBIcSt0SHzcBCWE0JcAzYCdyJ7rv8I+CfAuZDB3xw9CuXlY73FwyKiDrBpE8THu4yq\nK+V3xRi7dsm63K1bxw6dv3WewvRCoi3RfrnED37wA7+8z7RwofweZYmiMKNQzQUFfPEF9PdPdNRb\nqlmcHkJRREfuugsWLpQZM5Pwgx/8QNYjgtq0UjhTWwvnzjHy2KPUttWGVkQ9MVFmFvqo/l6cWcyg\ndZCGjobA2DUFDLGGKgC5JixrgpGlIewrjIoGeyMoV9VSZS81VuhAwMXkhBA/E0IsFELMEEKUCyG+\ncHhtnRDi2XHjPxNC3COEiBNCLBJCvCQC+RfS2SlbFJSXc775PDPjZ5IRlxGwywWVSdLfSzJLuNhy\nkWHrsA6GKQzFW2/BypWQmzt26FzzOb9uWP3kJ4FNivGKFSvk7nFnp9Ph4sxi5ZwoZNQ5MVH+nYwi\nhJCOeig5J45omoyqv/UWDLv/rv/JT35CUkwS85LmqbmgcGbnToiNpf6OfIZtw6E3F555RmZSXfQ+\nU8SIm1aGWEMVAFTfqmLZTYi/w12n6RBg5kyYPXtCluF4ijKKaOtv41bfrUnHKQKHHqrvxuKzz2T7\nmvJyzt86Hz7RdDtPPy13zMalv5dklTBsG6a2rVYnwxSGYGBARtS3bHE67O8ooiFay7jZQVbZJQpA\nOuqrVzv1xP2y+0t6hnoozCjU0bBp8swz0NYG+/e7HWKfn6pdoWICb78NGzdS1S/rvEPOUX/4YbkB\n5yGrxJG5iXNJjE40VMqvIdZQBQBfXvictAGIWXmX3qZMDxdZhuOxb1qpOnX9UI760aNSZKqgQLaj\nCqVeud6waRPExU2Iqtvr8JWDYnL27pU16g6OesdAB029TaH3QOaJxYtlveK4hak4s5iWvhZu9aod\nY9MyMiJFp8alvV9slVG4kJ4LpaVQWOiVo1KcobJLFA7cvCmfkZ54guqWapJikkJPVHHGDHjiCZn+\n7mVypqZpFGUWqbmgcMnwydHE4GXL9DVkurjQ7RlPflo+Fs1iqE0rs6Ec9dH69MHR6HLYRdTj4lym\nv2fFZ5E+I12pXZudHTugqEg6saPYxaRCOoroishIqdA6XvldbVopTpyAnh6X9elREVHkpOToZJgf\nsKe/v/22zKCZhOLMYmrbahkcGQyScQpD88478u9n82aqWqpYnLE4NEUVt22Tqe8eooeOFGcWK+dE\n4ZK46lr6EmJkN5lQZvlyuHFDCo66IdoSTX5avoqo64i5HXWbDT79FMrLqW2rxSqsoR05cYc9/b32\ndpq7pmksyVqinBMzMzwsH8SefNLpsD2K6C/Fd4CXXgqsHqTXuNhBzk/LV8rvZufQIbmpeccdToer\nW6rl34clSifD/MTWrVLhd/duly/b52dxZjE2YeNS66VgWqcwKjt3wn33QUZGaGs1rF8PGRk+icrZ\nW7QZRUTLMGuoyRm2DjP3cisdi7LlJlYoY9dj8bCBtThjsdq00hFzO+rV1VJYqrx8zDkpTA+zKCLI\nGi0X6e9KRMvkHDoE7e0T6tMvtlxkXtI8EqL913akr88gvZlXrIALF2DwdsQwyhJFQXqBmgtm5tAh\nuOceiHJ2yEPaOXGkqEimabppU2Wfn0YU0VLoRH8/fPghbN48JqoYUq3ZHImKgqeeks9AXjrexZnF\ndA91c737eoCN8w7DrKEmp669jtIbAltpiPZPdyQ3V+o3eKH8Xt2i2gPqhbkd9aNHISIC7rqLiy0X\nSYlNISs+S2+r/E9cHDzyyARHvTC9UGYSGKhXqCKI7NghWzfZRdZGqW71v3Py13/91359vymzYoWs\nRz7vnElSnFmsskvMitUKH388Ie0dwshRB5n+/u67UpNiHPb5mTYjjVkJs5SjrpCbVwMDsGkTN3tu\n0jnYGdpz4cknoaHBY02uHfumhFFSfg2zhpqcS42nWNQGiXd+RW9Tpk9EhNzA9aT8nlnE1a6r9Az1\nBMkwhSPKUV+yBBITudh6kcL0wtCsv/KGp5+Wk7G+fuxQYUYhg9ZBrnRe0dEwhS7YbLJmdcuWCelb\nF1suhmdmCUhhrYgIl8rvyjkxKadPQ1fXBEe9Z6iHq11XQ9s5ceSrX4W+PumsT4JSflcAUFkJ2dlQ\ndDuaFtJzYc0aKRy8Y4dXwxemLCTGEqPWBYUTrccOYRGQdNe9epviH5Yv9yqiDqiouk4oR71c9kG8\n2Hox/MSzHHnwQSmm5VCjaHfG7OJhChNx9KhU9B2X9m61WalpqwntB7LJiIuDgoIJO8jFmcU09zbT\n0teik2EK3Th0SHYDuMu51Y69Tjts5kJurrxHD+rvSvldAchnhU2bQNOobqkmMiKSvNQ8va2aOlFR\n8Nhj8NZbXg23RFhUba5iArbTJ7FqoC0Jkw5RK1bApUsuM63s2NdAo2SXmA3zOuodHbJWtbwcIUR4\nRxEBkpLg3nvlLvko85PnE2OJGavPV5iIHTtg1qyxjSo7DR0NDFmH/D4XWloM5ACvWDHBUbcvRGrT\nyoQcOgR33w0xMU6H7dGDsFoXnnlGOmCdnU6HHedncWYxl1ovMWwdDrZ1CqNQXy8f3h96CICqlqrw\nEFXcskVqE1V553AYqUWbodZQE5NYVU/T3BTZ9i8cWL5c6jacOeN2SGJMIvOS5qlNK50wr6P+2Wfy\nZ3k5LX0ttA+0h9cDmSseeggOHBhr0WOJsLAofZFS+DUbQkhH/fHHZRq4A4FKcXz22Wf9+n7TYsUK\nme5ss40dyk/LR0NTc8Fs2GyT1qfPSphFcmyyDoYFiKeegqEh2LXL6bDj/CzOLGbENkJtW+34sxVm\nYc8emYG3fj0QRloNDzwACQleR9WLM4zTos1Qa6hJEUIw73IrnYsX6m2K/ygpkXPdi/R3o8wF9NkU\nSwAAIABJREFUs2FeR/3oUUhPh0WLbiu+h3PqO8g0tr4++WA6SmF6oYqom41Tp6Sozri0d5AlIHFR\nccxNmuvXS7744ot+fb9psXy57JldVzd2aEbUDOYnz1dzwWycOwdtbeEvJGcnOxvuvHNCna7j/CzO\nLAZQ4opmZvduWL1aZuJBaCu+OxIbC5s3e12nXpRZREtfC7d6bwXYMM8Yag01Kdc6r1Jy04a2bJne\npviPmBgoLvYsKDfarlARfMzrqB87BqtWgaZxseUiGhr5afl6WxVYli6FOXOc0t8L0wtVuq/Z2LFD\niurcf/+El6pbqilILyBC8+9XQ1lZmV/fb1rYe4eOW5gKMwpVRN1sHDoE0dEy9X0cF1svsjg9zBx1\nkBt0u3fL9lujOM7PzPhM0makqXXBrAwOysy70bT3sBNV3LJlgrCuO+ybVkaIJBpqDTUpDacOkjwI\nyXfdp7cp/mXFCs8R9cwiattqGbIOBckohR3zOurnz0vHFflAtjBlIbGRsTobFWA0TS6+joJyGYVc\n776u2i6YibfegoqKCT2jYdQ5CZcHMndkZMDcuRMWpoK0AhVRNxuHDkmBtXH1hlablUutl8JzLjzx\nhMys2rvX7ZCC9AIutalNK1Ny5IgUlhp11O0bNmEzFzZtkpH1t9/2ODQ/LR+LZjFMnbpCXzo//wiA\nrHse0NkSP7N8OZw9K1vXuqEoowirsKqSKB0wp6Pe0wNXrkCRTOUKe8V3RzZtkkIqV2RLNntdvook\nmoRLl+Tn//jjLl+ubqkOf60GkG3azp51OlSYUUhtWy1Wm1UnoxRBRQg4fBi+MrEfbmNnIwMjA+Hj\nnDhSWChTHSdJ/y1MV9klpmX3bik0OpreGxat2RxJSJBdcLyoU4+2RLMofZFK+VVITp+mLcGCZe48\nvS3xLytWSO2qi+4DFUWZ0l9ScyH4mNNRt/8xFsu0JtM4JwAbNoDFMpb+bt+gUGmOJuHdd2U04YGJ\nO8Lt/e009zYH5IHslVde8ft7ToulSyc46gXpBQxZh7jSeUUnoxRBpa4OmppkN4xxhJ1zMp4tW+Cd\nd2BYKruPn58F6QXKUTcrlZUymq5pgEz7npM4h6SYJJ0N8yNPPil1ir780uNQo4hoGW4NNSFJ1Q1c\nz8kYmxthg73mfpI69cw4WRJlhLlgNszpqF8YTWNavJhh6zD17fXmcdRTUmRLrtH095TYFLLis1TK\nr1l45x25WRMfP+GlMVHFAMyFEydO+P09p0VpqcwqcWhTZb9vtWllEo4ckT/HtSgE6ajPiJxBdnJ2\nkI0KEk88IVuUHjwITJyfBekFtPW30drXqoNxCt24dk0KLI6mvUOYiipu3iyVrr1Ify9IL6CmrSYI\nRk2O4dZQEzK/oY3uxTl6m+F/UlIgJ2fSOnVN0wyzaWU2zOuoz58PiYnUt9czYhsJv4VoMjZtgg8+\nkG16UMrvpqG1Vab6Pvqoy5ftDmpBeoHfL/3Tn/7U7+85LUpL5U+HqHp2cjaxkbEqkmgWjhyBJUuk\nsOI4qluqKcwo9LuoomFYsQIWLBhzVMbPT/t3gFoXTEZlpWzZ6ZBxFTaK746kpsrWc16ovxekF3Cl\n4woDIwNBMMw9hltDTUZbUwML22xYloepqN+KFeBhM0gpv+tDmD6FeODCBaf6dDBBazZHHnpI1umP\nRpRUPaJJ2L1b9o3evNnly9Ut1WQnZRMfPTHaHnYUFsqIioOjHqFFsChtkXJOzMLhw7IFlQuqW8Mw\niuiIpsn097fflt8J47B3QFHrgsmorJTdcNLSABixjYSvqOKWLVJMsqVl0mEF6QUIBHVtdZOOU4Q3\n14/IctHUu+/X15BAUVYmU9+FcDukKLOI6pZqbGLimqEIHOZ11Efr0y+2XCQhOoHZCbN1NiqILF8O\nM2eOpb/b21KJSSaoIgx45x3ZQ3nOHJcvm0Lx3U50tNysO3PG6bCqzTUJra1SVNGdo24G3ZItW+Dm\nTfj00wkvxUXFMT95vpoLZmJ4GPbtc0p7v9x+mWHbcHiuC48/Ljep3nln0mH27BI1F8xN9+eHGYqA\n+Xc/qLcpgaGsTJZDNTS4HVKYXkj/SD/Xu64Hzy6FCR31gQHZP9PuqLdepDC9EC3cxCEmIyJCLsZ2\nQbn0QnqGeviy27OwiiJEGRqSn7ebtHcwiXPiSGnpBEddlYGYhE8+kT9dCMkFUlTRUJSXQ1aW2zpd\ntWllMj79FLq6ZGncKHZRxbBLfQf5t/+Vr3hUf8+MyyQpJknNBZMTcfYsdbOiiY0LI1FFR1askD8n\nSX9flL4IUJtWwcZ8jvqlS3IX1dFRN1Pau52HHpJpv9euqXpEM3DoEHR3y/7pLhixjVDbVhsw56TC\nzXV1xa787pBJUpBewLWua/QO9epomCLgHDkCs2fDwoUTXrJ/D4a9o26xyKjijh0u52dBmnLUTcWe\nPZCeDitXjh2qaqkiITqBOYmus7BCniefhP37nURFx6NpmiE2rQy5hpqItIuNXMvN0NuMwDFrllwT\nJ3HUc1JysGgWQ4grmgnzOep2xXd7jXrLRXNFEe088ICMrFdWkpuaS2REpFK7DmfeeUcKKNpF1MZh\nT3EM1KbVd77znYC877QoLZWbF1dut2Oz379aiMKcI0dk2ruLTCp7FDEQooqGY8sWqK/nOw5RVDt2\ntWtVj2gS9u2THUEibj8W2hXfwzbj8IknZLbZrl2TDitIL+BSm76OuiHXULMwMsL8xk66i/P0tiSw\nlJVN6qhHWaLISc3RfdPKbJjTUZ81C1JTae9v51bfLXM66unpcNddsHs3UZYoclNzVUQ9XBFC9k9/\n9FG3/T8DHUXcuHFjQN53Wtg3LRzS31U9ogkYHIRjx1ymvYN0ThYkLyAuKi7IhunA2rWQnMzGmzcn\nvFSQXsDAyABXO6/qYJgiqLS1wRdfOKm9Q5i2ZnMkO1s+B3lQfy9IK6CmVd/NW0OuoSbBWl1F7LBA\nLF+utymBxe6oT6JXZZR2hWbCnI66Q9o7mEzx3ZEHH4QDB8BqVbW54czZszJqPEnqXHVLNfFR8cxN\nnBtEw3RmzhzZpsdB+T1tRhoZcRkquyScOX5cOuuTCMmFtXPiSHS07ALhok5dbVqZiAMHZEngOEf9\nUuslCtLCPLNkyxYprNvX53ZIQXoBTb1NdA64T5FXhC9tn3wAQMqqNTpbEmDKyqC5GW7ccDtElUQF\nH/M56lVVTorvAIvSFulpkX6sXy9VHk+dUi3awpl33oHERFjjfpG52CK1GsI2xdEVmuZSUM4IaY6K\nAHLkCMTHy+4XLjCVow5yA8++mefAwpSFREVEqXXBDOzbBwUFsjxqlPb+dlr7W8cEpMKWLVukk75n\nj9sh9k0rFUk0J73HjnA5BXJyVuhtSmApG+0R70FQrr69nhHbSJCMUpjLUR8elmJyDhF10/SNdsWq\nVTBjBhw4QGFGIQ0dDQyODOptlcLfvPuuzJ6IiXE7pLo1sIrvO3fuDNh7T4ulS10rv6uIevhy+LD8\n7ouMnPDSsHWYuvY6cznqDz7ITotFfk84YImwkJ+Wrxx1M7Bv34Rout0pDXuthkWL5Dowifq7EdSu\nDbuGmgDL6bOcnq0xP3m+58GhTHa2LIudxFEvSC9gxDZCQ0dD8OwyOeZy1GtrYWREKb7biY6W7UkO\nHKAwvRCbsFHbVqu3VQp/cuMGfP75pGnvICPqgXROXnvttYC997QoLZWbdwMDY4fsZSBikjotRYgi\nxG0hORfYIwVh75w4kpzMaxkZLvtJF6QXqJKocKeuDi5fhnE10PaabFNkHD75pNyoGhpy+XJSTBKz\nEmbp6qgbdg0Nd4Qg9eIVruamExkxcXM3rNA0j4Jy9u8DvTUbzIS5HHWl+D6Rdevgo48oTMoBVIu2\nsOO996SK78MPux3S1t8WcFHFN954I2DvPS1KS2Vtpv27AemcdA120dzbrKNhioBw8SK0troVkrNH\nEU3hnDjwxl/9FRw8KPtoO2CEtlSKALNvn2zVd//9Todr2mqYGT+TxJhEfewKJlu2yL/9Dz5wO2RR\n2iJd54Jh19Bw5/p1EroG6Fyco7clwcGDo56dnE2MJUatC0HEfI56ejpkZmK1WQPaNzpkWL8e+vrI\nPHeZlNgUlfIbbrz7rowepqe7HWL/zE05F0pK5E+H9Hd7lo3atApDjhyRG1d33+3y5dq2WmIjY5mb\nZCJRRZAdIYaHJ9TpFqQXqJKocGffPjkfkpKcDte01YR/fbqdJUtkCvwk6u9q08qknDwJEP6K73bK\nyuDqVbh1y+XLEVqEKokKMuZy1O1CcprGlc4rDFoHVUR9xQpITkb78EOl/B5uDAzICMEjj0w6zP6Z\nm+ahzJGEBMjLc1J+z0vNI0KLUAtROHLkiKxHHeeU2KlprSE/LZ8IzVxLIwsXyt/LuDr1wvRCBIK6\n9jp97FIElpERqfg+rj4dZD22aTJLNE1G1XfulL8TF9jbUqmSKHNhPXGc1hmQVVimtynBwS4oN7pB\n4QrVoi24mOtpxKE1W3VLNWDi1mx27Clvo4JyylEPIz76SKrZenDUa1prmJc0zxx9o10xTvk9JjKG\nhSkLVXZJOHL4sNu0dxiNIprFORlPRQXs2uXkqKgWbWHOF1/Izi/jHHUhBDWtJpsLTz4JLS3yO8IF\nqiTKnPR9cZRTs6DALL5Cbq7cyPYgKKfWhOBhHkfdaoXqaqf69BmRM5iXNE9nwwzAunVw9Cgl8Tlc\nbFEiWmHD++9LFU97ercbguGcbN++PaDvPy1cKL+rFm1hSHMz1NS4FZID8zrq27dvl+nvbW3wySdj\nx7Pis0iKSVKbVuHKvn3yofyuu5wOt/S10DnYaS5RxTvukOulG/V3vTetDL2GhjERp05zcpaJMg4j\nImSmrQdBucbORgZGBtyOUfgP8zjqly/D4KCT4ntBeoH5UhxdsX49DA1RfsVG+4DsnaoIA95/X4rI\neeiNHgznZOM4RWFDUVoqnbimprFDqkVbGGJ3QN1E1AdHBmnsbDTPA5kDGzduhDvvhJkzndLfNU1T\n0ZNwZt8+WLt2QqvCMVFFM80Fe/r7jh1SYHQceal5aGi6zQVDr6HhSkcH8deauDA3ijmJc/S2Jnh4\nEJQrSC+QJVFtqiQqGJjHS7WrOo866jVtNebaLZ6M4mLIymLxmS8BlIMSDtTUyH+TqL2DTHGsbasl\nPy0/oOZs27YtoO8/LUpL5U+HOvWC9ALq2usYsbmuV1SEIIcPy4hZdrbLl+vb67EJW8DnghHZtm2b\njKRs3jyhTZvKLglTurvh6NEJbdngdusl082FLVvgyy9lS9Nx2Eui9HLUDb2GhiujmXadi3PMFdQr\nK5NtGzs6XL5s38BTderBwTx/eVVVMsVrjtwVM1391WRoGqxbR/qnp9HQVJ16OPD++xAdLcsaJqGp\nt4meoR5zRU7Gk5sLM2Y4K7+nFzJiG+Fy+2UdDVP4lUn6p4NUfAfztWZzoqICLl2SbexGKUwvVBH1\ncOTQIalH4EJIrqathrmJc82nW7J6NWRluVV/X5S+SG1amYmTJxmKisBSPHn5YNhhF5Q7dcrlyzPj\nZ5IYnajWhSBhHkfdLiSnafQP93O166r5dosnY906Io6fYElM9thuuiKEef99WLNGqppPgt05MfVc\nsFhke55xEXVQIlphQ38/HD/uUUguLirOXCmO49mwAWJjndLfC9ILaO5tpmPAdXRFEaLs2wcLFkD+\nxO/+S62XzLl5a7HA449LR92FVk9BmioDMRWnTlE1K5L8LJO1ri0slMELN+nvmqaxKH2R8hWCRMAd\ndU3TntM07bKmaf2apn2qadqdXp73jKZpNk3T3De29IULF8aE5C53yCiZKRcid6xfDzYbjzelUtte\nq7c1iunQ2wsHD3pUe4fbKY55qXkBNemwGyVdwzBOUG5ukowmqeySMOHYMdknfDIhudHWbJoHTYdw\nZGx+xsVJZ32cow5q0yrs2LtXRtNd/L2bVVQRkOnvdXUTBEZBzoXatlqsNmvQzTL8GhqG2E4c5/PM\nIfPNBYsFli/3rPyuskuCQkAddU3TtgI/BF4AVgCngT2apmV4OG8B8A/AR34xxGa73UMdE9dfTUZO\nDixYwP31NrVLFuocOABDQx7r00FG1OclzWNG1IyAmvTyyy8H9P2nTWkpnD8/1poqQotgUdoipdcQ\nLhw5AomJckPGDWZ2Tpzm56OPynr+Vikqav+dKEc9jLh2TXbBcZH2bsrWbI6sXQvJyS7T3wvSCxiy\nDnG162rQzTL8GhpuDA1BVRUnZ2FOPSsPyu8quyR4BDqi/ufAvwghfi2EqAa+BfQBz7o7QdO0COA/\ngP8H8E+B6NWrMso46qjXttWSEJ3AzPiZfnn7sGC0Tn3p+RZq22pVi7ZQZtcumc64yPODVrCck9df\nfz3g15gWpaWyK0Tt7WySwoxCtWMcLhw+DOXlMlLgBjM76k7zc/Nmubn9/vsAJMYkMjthtnooCyf2\n7ZNr/vr1E1662XOT3uFeczonILVdKircOuqgz6aV4dfQcOPCBSKGRzhlptZsjpSVSa2S3l6XLy9K\nX8TNnpt0D3YH2TDzETBHXdO0KGAl8IH9mJDe336gfJJTXwCahRC/9JsxVVXyp4OjbtYUx0lZt47M\nuhvEtffS1NvkebzCeAhxuy2bFwTLOYmLM7gokT3S6pDuuCht0VgNvyKEsdlka7ZJ0t4HRga42mle\n3RKn+TlnjuwpvWvX2CHVoi3M2LdPPoinp094yZSt2cazZQucOyeFFR2YnzyfaEu0LnPB8GtouHHy\nJELTaJifSGZcpt7WBJ+yMrl2uigBgdubVkr5PfAEMqKeAViA8R5fEzDL1Qmapq0GtgN/4ldLamrk\nLun8+fJ/22pM+0A2KaMK4WsbUA5KqHL+vMwg8cJRD1ZrtpAgIwNmz3ZalPLT8rnWdY3+4X4dDVNM\nm6oq2WZmEiG5urY6BMLczokjmzdDZaWs60cpv4cVNhvs3++yLRvI0kANjdzU3CAbZiA2bpR6DeOi\n6pYIC/lp+WoumIFTp2iancjcOYXmDOqVlEBMjNR3cYE9wKNKZQOPHqrvGjAhr1rTtATg34FvCiHa\nfX3Thx9+mIqKCqd/5eXl7Ny5E+rrZQ12RAR79+7lk5c/IT/V2Tl57rnneOWVV5yOnThxgoqKClpa\nWpyOv/DCC7z00ktOxxobG6moqKC6utrp+I9//GOef/55p2N9fX1UVFRMEAd57bXX2L59+4R727p1\nq7wPB/bu3UtFRcWEsdO6jzlzaMjNoXoffPSFszxASN0HYfJ5TOU+vvpVDsfESMV3D/fx+FOP03Pa\nuTWbYe5Dj89j8WIn5fdDrx6Cw7K/dkjdR7h8Hv66j8OHwWKhb+lSt/fx37/13wHn1myGu49RgvJ5\nPPIIdHbCkSOcOHGCwy8d5mLjRaeSqJC4DwdC+vPw532cOcOPb93i+bo6l/fx4UcfMj95PrGRsca+\nDwL4eRw+TIWLOvXnnnuO6NPOEXVD30e4fB563MeOHVyYGz22JoTsfUz184iOhhUr2PrDH7q8j69v\n/ToZcRlOc8GQ9zGKvz6Pn//8505+ZmFhIU899dSE9/ArQoiA/AOigGGgYtzxV4G3XYxfBliBodHz\nhkf/334sx811ygBx/Phx4ZaKCiE2bRJCCNE/3C+0FzXxyolX3I83M9/6lqjJihR/uf8v9bZEMRXW\nrBHi0Ue9GvrxlY8FLyLONp0NrE1CiO9///sBv8a0+f73hVi4cOx/b3TfELyI2Fm1U0ejFNPma18T\nYuXKSYf8w5F/EAl/nyBsNluQjDIWE+an1SrErFlCfO97Qggh/lD9B8GLiGud13SwTuFXXn5ZiLg4\nIQYGXL78xOtPiA2/3hBkowzIb34jBAhx5YrT4ef3Pi9yfpQTdHNCYg0NF6xWIZKSxN9tShAvfPiC\n3tbox5/9mRB5eW5fLv/XcvG1HV8LokHG5Pjx4wIZgC4TAfCnAxZRF0IMA8eBMbUSTeaPrAc+cXFK\nFbAUWI502pcB7wAHRv976jKb9fWQK9O4LrdfRiBUuq877r+f/OYRWuvOeh6rMBadnTJ66G19epBa\nswHMHy07MTSlpdDQAF1dAMyMn0l8VLwqAwl1Dh+eNO0dzN2aDVzMz4gIGVUfrVO3r5d17XXjT1WE\nGnv3wn33ybRWF5hZVNGJzZtlVHFcFK4gvYCGjgYGRwaDak5IrKHhwuXL0NXFx2k95p4Lq1bJVoXj\nouF2lHZJcAh06vs/An+qadofa5q2GPhnIA4ZVUfTtF9rmvb3AEKIISHEBcd/QAfQLYSoEkKMTMkC\nIZwcdftDt3LU3XD//QCkf64c9ZBj716wWmHTJq+G17bVkp2UHfDWbADf/e53A36NaVNaKn+eOweA\npmnkp+UrRz2UuXFDPnRNIiQHyjlxOT83b5YtvGpryU3NRUOjrk056iFNfz98/LHLtmwANmGjtq3W\nvIrvjiQlwYYN8NZbTocL0gsQiKBvWoXEGhoujNZlfzHH5KKKd90lf37+ucuXC9ILlJhcEAiooy6E\n+B3wPeBvgJNAKfCgEOLW6JB5uBGW8xu3bkFf35ijXtNWQ1xUHLMTZgf0siHLzJm0LMwi/8x11aIt\n1KislJ0NFizwargSVRzH4sWyfdc4QbnaduWohyxHjsifylH3nQ0bZERx1y5iI2OZlzRPbVqFOocP\nyzaUbhz1613XGRgZUHPBzpYtcmOj6bYmsp4t2hRB4tgxeuZm0hKPuedCbq4U2v3sM5cvL0pbRFt/\nG619rUE2zFwEXExOCPEzIcRCIcQMIUS5EOILh9fWCSHc9lQXQmwXQmyZlgH1o0JQOTmAas3mDV3l\nZdxbN8ytvlueByuMgRDSUX/oIa9PUc7JOGJipLM+3lFXzknocviw/O6fM8ftkL7hPq51XVObVuNJ\nSIC1a+G99wC1aRUW7NsHs2bBkiUuX1at2cZRUSH7zb/zztghVRJlAo4do3FRFhlxGaTOSNXbGv3Q\nNBlVd+Ooq02r4KCH6ntwceOoK9xjWbeBRW3QeN6VlIDCkJw9C19+6XXauwhya7bxKp6GZelSJ+X3\n/LR8Gjsbg16PqPATR454jKbbVf3N7Jy4nZ+PPAKHDkFXF3mpeco5CXX27ZPRdDeBiprWGiyahZyU\nnCAbZlAyM2UHld//fuyQvSQq2GUgIbOGhjpWK5w4wen50aoEBGSd+uefy2DQOOzPjyr9PbCYw1HP\nyJD1RqgoojdkPixbDfTv362zJQqvqayUfV89iGbZaeptomeoJ2jOyQ9+8IOgXGfalJZKR310UcpP\ny8cmbDR0NOhrl8J3envh5EmvhOTA3CmObufnI4/IXur79o1ll6iSqBCluRlOnXKb9g7y+WhhykKi\nLFFBNMzgPPkkHDgAbW1jh/LS8oKeXRIya2ioU1UFvb18nKVKQADpqLe3Q81EZzw+Op65iXNVRD3A\nmMNRH61PHxwZpLGzUUXUPRA3ZwHVsyKZcdi1gITCgFRWyjTV2FivhtsjY8FaiH7yk58E5TrTprRU\nqudflU0m7N8VKpIYgnz2mYyOeFGfnhidSFZ8VpAMMx5u52durtS92LWL/LR8uga7aO1X9Yghyf79\n8ueGDW6HXGq9ZOrMEpds2SK/R/7wh7FD+anBj6iHzBoa6hw7BprGrqSbKqIOtwXl3NWppy9SEfUA\nYypHvaGjAZuwKUfdCy6UZJF9Qk2+kKC7W9biepn2DrejiLmpuYGyyomQaS2zdKn8OVqnPidxDrGR\nscpRD0WOHIGUFOloTkJNaw2L0heZWrdk0vm5ebN01FOcO6coQox9+2Rt+mz3Qro1bTUUpCnnxInZ\ns2VWjkP6e35aPlc6rzBkHQqaGSGzhoY6x44xUriIRlu7iqgDpKZCQYFbR12PTSuzYSpHfUwoRU0+\nj9y8s4iZTb3Q2Ki3KQpPHDgg01N9FJILVmu2kCI7G5KTxxz1CC1C1eaGKocPwz33yJ7gk6DKoTyw\neTM0N7PociegHPWQRIjb9elusNqs1LfXq4i6K55+Wv7+OjoAmfquSqLClM8/p32JDOapoN4oq1a5\nddTz0vJUSVSACW9HfXAQrl1z6qE+I3IGsxNVazZPDK8uB0B8+KHOlig8UlkJ+fmQl+f1KUpU0Q2a\ndrtOfRSldh2CWK3w6ace095BOeoeKS+H1FTi9hxgZvxM5aiHItXVcP36pI56Y2cjQ9YhNRdcsWWL\n3AwfVX+3r50qkhhmDA7CmTM0FGQCylEfY9UqOH0aBgYmvJSflk/nYCdt/W0uTlT4g/B21K9ckTvJ\n9oh6q+wbHaGF9237g3m5yzk9Ewb3V+ptimIyhIDdu31Ke4fgOycvvfRS0K41bZYuVS3aQp3Tp6Gr\nC77ylUmH9Q718mX3l6Z/IJt0fkZGymyd995TcyFU2bcPoqPhvvvcDlGt2SZh7lyZnfPmm/J/E+cS\nbYkO6lwIqTU0VDl9GoaHOZ0dTWZcJokxiXpbZAxWrZIbVSdPTngpL1UGiNS6EDjC22O1t2azR9Tb\nVRTRW/LT8jm4ENmaR2FcLl6UG1I+pL0HuzUbQF9fX9CuNW1KS+XvdVC2ZMtPy6eho4Fh67DOhim8\n5uBBKaxoF8JxQ127jIiZ3TnxOD83b4aTJ7lDzB77nSlCiL17paMZH+92SE1rDVERUcxPVrXQLnn6\nafl77OzEEmEhNzU3qHMhpNbQUOXYMYiK4mh6H3lp3mcohj2lpRAT4zL93f57UutC4Ah/Rz0yEubN\nA1S6ry/kpeXx4UKIvXoDGhr0NkfhjspK+QV6//1enxLs1mwAf/3Xfx20a02b0lKZOl1VBUhHfcQ2\nQmOn0msIGQ4dkinbMTGTDlOt2SQe5+dDD0FEBA9UD6vISagxMCB1TDxkXdW21ZKTmkNkRGSQDAsx\nnnwShobgvfeA4GdahdQaGqocOwalpVzsblC+giPR0VBWJvupjyMpJonMuExVBhJAwt+g9Pq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P6lZECWXv7hD3qbo/CGjz8eq08XQqjs26mwdi0MDMBntzseKOV3/xOejvq8eWCxKBVHP+Kkdr1x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SKSrURSRX+fxzWLIE5s2DuDjo1t3w9c6PMS37UqxAEa7evoiZg27khhtgziyoXt0+Lz4eDhyA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\ngg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f6f66d86c10>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Synthetic truth\n",
"dr = 0.5\n",
"r = np.arange(0, 100, dr)\n",
"kdp_true = np.sin(0.3*r)\n",
"kdp_true[kdp_true<0] = 0.\n",
"phidp_true = np.cumsum(kdp_true)*2*dr\n",
"# Synthetic observation of PhiDP with a random noise and gaps\n",
"phidp_raw = phidp_true + np.random.uniform(-2, 2, len(phidp_true))\n",
"gaps = np.random.uniform(0, len(r), 20).astype(\"int\")\n",
"phidp_raw[gaps] = np.nan\n",
"\n",
"# Reconstruct PhiDP and KDP\n",
"L = 11\n",
"phidp_re, kdp_re = wrl.dp.process_raw_phidp_vulpiani(phidp_raw, L=L, dr=dr)\n",
"\n",
"# Plot results\n",
"fig = pl.figure(figsize=(12,8))\n",
"ax = fig.add_subplot(211)\n",
"pl.plot(kdp_true, \"g-\", label=\"True KDP\")\n",
"pl.plot(kdp_re, \"r-\", label=\"Reconstructed KDP\")\n",
"pl.grid()\n",
"lg = pl.legend()\n",
"\n",
"ax = fig.add_subplot(212)\n",
"pl.plot(r, phidp_true, \"b--\", label=\"True PhiDP\")\n",
"pl.plot(r, np.ma.masked_invalid(phidp_raw), \"b-\", label=\"Raw PhiDP\")\n",
"pl.plot(r, phidp_re, \"g-\", label=\"Reconstructed PhiDP\")\n",
"pl.grid()\n",
"lg = pl.legend(loc=\"lower right\")\n",
"txt = pl.xlabel(\"Range (km)\")"
]
}
],
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