{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "\n", "\n", "\n", "\n", "\n" ], "text/plain": [ "" ] }, "execution_count": 1, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from IPython.core.display import HTML\n", "def css_styling():\n", " styles = open(\"../styles/custom.css\", \"r\").read();return HTML(styles)\n", "css_styling()\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "\n", "
\n", "# [Physics 411](http://jklymak.github.io/Phy411/) Time Series Analysis\n", "*Jody Klymak*\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Week 9: Two-dimensional gridding" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", " \"http://www.wunderground.com/blog/weatherhistorian/world-and-us-anticyclonic-high-barometric-pressure-records\"\n", "
\n", "\n", "Just like for linear interpolation, it can often happen that we have data points irregularly sampled in two dimensions that we would like to put onto a regular grid in two dimensions. i.e. imagine we have a network of weather stations that are irregularly placed geographically, and we want to put their pressure values on a regular grid in space to make a contour plot from (like the example to the right).\n", "\n", "There are a three general approaches to this problem. The first is global, in that you weight all the datapoints by their distance from the point you want to interpolate to. The second is local, and you need to find the \"nearest neighbours\" to your interpolation point. The third is good if you have a lot of data: you can simply bin and average the data into spatial bins to get a gridded data set." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Setting up the Problem" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Suppose we have a list of data that has an $x_n$ and $y_n$ co-ordinate, and a data value at each data point, $z_n$. Then the goal is to estimate the value of $z_i$ at some point ($x_i,y_i$). Indeed, usually we want a whole grid of such points, but to do that we just iterate over the grid points. " ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "from scipy.interpolate import griddata\n", "import matplotlib.pyplot as plt\n", "import numpy.ma as ma\n", "from numpy.random import uniform, seed\n", "from scipy import interpolate\n", "from scipy import ndimage\n", "import scipy.signal as signal\n", "%matplotlib inline\n", "\n", "# make up some randomly distributed data\n", "seed(1234)\n", "npts = 200\n", "# the randomly distributed data points $x_n,y_n$:\n", "x=uniform(-2,2,npts)\n", "y=uniform(-2,2,npts)\n", "fig,ax=plt.subplots(1,1)\n", "ax.plot(x,y,'.',markersize=6)\n", "ax.set_aspect(1);ax.set_xlabel('x [km]');ax.set_ylabel('y [km]')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we want to define the data at each of these grid points $z_n$. It is nice to use something that is analytic so we say that \n", "\n", "$$z=\\cos(x)chirp(y)$$ \n", "\n", "where $chirp$ sweeps a freqeuncy range. " ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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tjvQUcDywoxBiFXAdEAaQUj4AfA8YI4RIAw3AD7trrC2hMhhn3oAfE1C2gdsq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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "z = np.cos(x*2*np.pi/4.3)*signal.chirp(y+2.,f0=.05,t1=4.,f1=1.)\n", "# lets also get it on the grid.\n", "xi = np.linspace(-2.,2.,100)\n", "yi = np.linspace(-2.,2.,100)\n", "# np.meshgrid makes a MxN array out of x (N-vector) and y (M-vector)\n", "X,Y=np.meshgrid(xi,yi)\n", "zideal = np.cos(X*2*np.pi/4.3)*signal.chirp(Y+2,f0=.05,t1=4.,f1=1)\n", "fig,ax=plt.subplots(1,1)\n", "pcm=ax.pcolormesh(X,Y,zideal,cmap='RdBu_r')\n", "pcm.set_clim([-1.2,1.2])\n", "plt.colorbar(pcm,ax=ax,shrink=0.5)\n", "ax.plot(x,y,'.g',markersize=6)\n", "ax.set_aspect(1);ax.set_xlabel('x [km]');ax.set_ylabel('y [km]');ax.set_title('Ideal Background Signal')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The goal of the interpolation is to be able to reproduce the image in the pcolor plot, using only the data at the green dots." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Binning method" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "A very simple method is to bin the data, and if you have enough data that can work quite well. From the above we will see that we can easily enough bin the low-frequency data, but the fidelity of the high-frequency data (near the top of the image) will degrade." ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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n7Hkmfz2n870dOhsmT1drvyIKA0Y68/7Kv3P7vEsz1vF7Wd004oku8/77LmPW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\nJ9ht7nPbQjVb67v5dN8OAB46e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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "xbin = np.arange(-2.,2.,0.3)\n", "ybin = np.arange(-2.,2.,0.3)\n", "Z = np.zeros((len(xbin),len(ybin)))\n", "n = 0.*Z\n", "for i in range(len(x)):\n", " if (x[i]>xbin[0]) & (y[i]>ybin[0]):\n", " xind = np.where(x[i]>xbin)[0][-1]\n", " yind = np.where(y[i]>ybin)[0][-1]\n", " Z[yind,xind]+=z[i]\n", " n[yind,xind]+=1\n", "Z[n>0]=Z[n>0]/n[n>0]\n", "\n", "def plotCompareInterp(xb,yb,Zb,titl='Binned Result'):\n", " fig,ax=plt.subplots(1,2,figsize=(8,6))\n", " pcm=ax[0].pcolormesh(X,Y,zideal,cmap='RdBu_r')\n", " pcm.set_clim([-1.2,1.2])\n", " plt.colorbar(pcm,ax=ax[0],shrink=0.5)\n", " ax[0].plot(x,y,'.g',markersize=6)\n", " ax[0].set_aspect(1);ax[0].set_xlabel('x [km]');ax[0].set_ylabel('y [km]');ax[0].set_title('Ideal Background Signal')\n", "\n", " pcm=ax[1].pcolormesh(xb,yb,ma.masked_invalid(Zb),cmap='RdBu_r')\n", " pcm.set_clim([-1.2,1.2])\n", " plt.colorbar(pcm,ax=ax[1],shrink=0.5)\n", " ax[1].plot(x,y,'.g',markersize=6)\n", " ax[1].set_aspect(1);ax[1].set_xlabel('x [km]');ax[1].set_ylabel('y [km]');ax[1].set_title(titl)\n", " plt.tight_layout()\n", "plotCompareInterp(xbin,ybin,Z)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "So, this is not too successful, because there are not enough data points to resolve the features. That doesn't mean its a bad method (I use this a lot in real life). Its the same problem as the sampling theorem - your data needs to be more fequent than the signal you are trying to resolve. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Global interpolation" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here we say that our interpolated value is a weighted sum of all the raw data points: \n", "\n", "$$z_i = \\sum_{n=0}^{N-1} w_{ni}(x_n,y_n)\\ z_n$$ \n", "\n", "where the weight $w_{ni}(x_n,y_n)$ depends on the distance between the data point $x_n,y_n$ and the interpolated point $x_i,y_i$. A simple model is to assume it is inversely proportional to the distance squared:\n", "\n", "$$ w_{ni}= \\frac{A}{\\left(x_n-x_i \\right)^2+\\left(y_n-y_i \\right)^2}$$ \n", "\n", "where $A$ is chosen so $\\sum_{n=0}^{N-1}w_{ni}=1$" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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P+9G69cnCCfaoikpWtcK2lXtx7pdvoyxe7r+TbDRf3BFfobH3YZ8VnCEgZzb/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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "nx = len(xi)\n", "ny = len(yi)\n", "Zi = np.zeros((ny,nx))\n", "for i in range(nx):\n", " for j in range(ny):\n", " w = 1./((xi[i]-x)**2+(yi[j]-y)**2)\n", " w=w/np.sum(w)\n", " Zi[j,i]=np.sum(w*z) \n", "plotCompareInterp(xi,yi,Zi,titl='Inverse Dist Squared')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This simple algorithm is not too bad; the overall structure is clear, and the value at the data points is correct (as it has to be), but the results are very diffuse because the roll-off of $1/r^2$ is not very strong. We could have chosen higher orders of $1/r$, but that is a little bit imprecise. A complimentary approach is to make the weight fall off exponentially with a fixed width to the exponential:\n", "\n", "$$ w = \\mathrm{e}^{-r^2/(2\\sigma^2)}$$\n", "\n", "where $\\sigma$ is a \"radius\". The smaller $\\sigma$, the less smoothing and the more \"jagged\" the interpolation. The larger $\\sigma$, the more smoothed out the interpolation:" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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TDiMQ97RAHNdUwbU1EwnFQpRtr0t6DTtO57hqGXcE8+u0iXd5tT7XqEr9HHf1\nfWnHus6YuERihEu30X0p0+Hybo0OxHHq1un+tzRBLM+v0DN5wLwMyrgG2HWWOfYCkUPWFF6RGMxT\nJz5JGocUkAnmEWvHsXf/kfqYr1fpPjXZXFmeIpnW35N5ZuywlDGu5JqcY1sG3ZqqMptg+s5Hf5Az\nW/8VGNgZdNTt3zOk7uC+yFEc74zmaec4PzyyiK0X4kqHnyI2D0Z5F1PpHcjOmRt981QRWcxaOZEj\nNw7ngWV755initj60Bk509dlTb9hcGYe+BAQ8AkR8X0n7H8QsonjAo6AlnEJu9mZO8Dt753Pso0L\niYXjDIoPZmXdMuLhOLdOe5jy6ACfsck/Tijog5PfSWtfd0Io47hmWR3rO+I7tIWiSFxr+aGMcTI2\nMwvV0gT2u3VENo5oyiSsIp30HZHL0kmeZa+sY7IJ/4QAU5PvtOy14/Rn7fYAPoPj5m5z3Kyt315T\n4Ld1Es5er/59+uf3UFW/nEQ4wVMHXkdlpMx32rPH9kKR7DrD3CjD3Fin42CWNAHOfvFMqjZUEQ/F\nuW/6Y5REtAumax2ILaPjWn8rh0qlj5VM5yYFTGUULRn7PTdBoGVmUp4ibX1uzETO85MpKt8+DiZn\neRdgHbqL2PIIUcpOXjbHiGVwfrjP9gCURbP/jc12bh2Isw7tQmPKsoIZZr19Hks3LiAWijMgNoRv\n65cRC8e54eCHKItmXYWDTE5bLI6DUGqc+9Od8L3IBO5JyM2Rae/XPyZ0NOmRDx4FwNrL/5OGbwvn\n6xoYifNw6XGwMww75ljdjwm6LNHKBs1gNdWlWG2yrK+q08zztmaMbPb3rsIMJ66jwNPH8MQw7gP0\nfxMystapX8fP3r2RqvrlxJ0IT065lMqIVlaFsC+TfJRo05OV0TgunpE7hfxtznnxTBZUa1nz0LGP\nFYzgtO+kn+w90uyvD7DzgChhT4/NhrQ+32erNVv/0XI95l+t2sh6M34tvp+f3j+dyvhZ+u/80SQA\ndvy9ztc1pI2xawv9Qc70GwWnp7F04wL+ulpH4QyIDqK6RTusXf3mub5DcRE9j6r65by5XvsJnfb+\nLH5z4A09ctz5G6p4e/lbAFzwytncf8zW+x/2dbt3EV1DUNZURgdRY2TNDW+fx6zDHu3NrvVbVNUv\n5811nwFwxidzeHqfmT127AXVWVmTH8G5NaE/yJl+o+B8Z2SuluwE+BOfODHLK984h8U184mF4txx\nhM48bM35Fwo7AAAgAElEQVSNdq/yqLbR7jl0EmXRct5e9joThuqInLJo1r/HHtPeCxJgjRyfRTCz\nIycw3Pa7iaLClhowpRvwvEA5h0xOG1GeX+LBtnH8tmaplN/eHwf7O7he9ZDNNj9tuTitU5kHQ7nN\nbDYb3m38o+I6CdbkIeO5d9psMtFyn7nJRqE5AaYmlwGzf3ZwrB0R4iZZ4aThk7jzqLv9mWLE1J6z\nM7DgTNayMZ6x6qkAE2MnbHZW7eUVnlYqe8x8U3x+266ir9PC/wiwzE3FIH1f7WKWTl7k5DVvnuOz\nM/dPf5SKaCWVMddncNY2CiXm3tx98F6Uhsv5cNUbjB28F5fv33aem0Ih5ACJcOfujfzEb55qvd4+\nC7WmDMn9H+rao8P/9RZ+kNHlbBY/oicKsUGaaRp27DF4E3XuqlVNxpfE+NtYtqMh6bHKlK2obdHb\nakxtt1hppEuRVLa3dYbJiIecgD+kXjaYI5YEmJyEGfMpA3bl/sl5uW6cXLmVNvvVK83ahJAsLWv7\nERg3m6tor2GTmHPEXQX7bd8Te9RrR+zUysWt2th0ioeY5aEmhYnsEsEx5SRUxXAAqkt0rp+KT//I\nN/drhSp9vv7fupsKuD/ImX7jg9MVLK6Zz4er3mbesle44vXCmYfvPOoRjt35uzx50h94YPqvOG7n\n7/LMyX/sXJ6bIrqNJ6fN5tSdpvP8sY9TGe25yLbHjn+c7+56Mn/4p80fVbW5YbOwtvcpom9gSe0C\nPlr1Nm8te4VLXi1cWuSWaQ8zbdSJ3H3kb5l16GMcPuok7jnqdznmqSJ6Fk9NvYpTRx7KCwfc4pun\negoPHfsYJ+16Mr879X97JMFob6Ezcqavyxppz9N7a4GIqIbGpk63P+m/T+TlRS8xafhk/teEEW++\nwqkgW2KMe4qJ2dLobMG6TYDajH9uT/y1JYk4SqlOdVJE1Jv7Tu2w3UHvvdPpYxbROYiIstXEbULR\n06aPAWDKCK2MBBkcV4TTnzuFt5a/wvihk3ju+1rWRFINPsPYYEqUrDdsR8pTraMv8xD097D3n2Vu\n8hmkto+RW1y3JeBnZllJGwX2tzV1ANQ2BQrumk4etYv27NhloKY51zemabY5tuw5zPGaDGu1pqGF\npbU6emqjYW52GGAY1m3KuhRJlTSDsaxWM0IDYmFKo/q/iZmXb8Tm5jJ9Lo04hGo0G+XWrwXI5sEJ\nRo8O1v4xa0u2zzmnSJYZiHST5bDjF/ngt7kb2vN9bAc2d0/V47/3c5vlY6/fvtTjcgb6tqzpNyaq\n6Le66mvOCzP/YTfU46/3v5ozEO474Boqm2qhqZbT513pp/b/1bQ79Czf7i955pRCJhJ/WzZxlvLN\nJ8bEEqCBM775ItdJLbjeqizZ/WwblXMsoJXRwwsU1S5kPrny9XNYXDufaMg6TreeaeS/vO1wXPWG\n3jcW2DdfKAeH3poL802Fl712Notq5hMPJbjzqEeoiGYVTe0knnss+89KoJp5tk2uQ7kjkv37bLhn\n0ERXaB34pr8cE6EKmP3M79bbcpfajJindAYHdBMUUqePz5r6O8QRSit0WPMew0zqhqBTu/kacYU5\nRz7CdW+dxx2H38WQUJQZz59G1Yb5JMIxnjjqHioNS1Pm6Qma01yHeLlm6/xJgBInK3eMc/6KyA7d\nupZ8GRHMP2md6vOz7WY85ZvI/vdLnaju6F11SHZ51PUVm5SnuObNc1hYPZ9YKMFF+91HaaSCdY0p\nGpJp/1gA6xuN02xaETfK2uWvnc1CIx/mHllYRlmlaZ3Zv64l7Tt3D4zrsYmHHa54/RyW1uqSCvdP\nf5QR5bo+VdTIZpdv9QGbG6BUm3+Wx7SC4+aZA1XWj9lX5sJOrvzpCLEGrVh5XVFo2mlrs057mfw3\nQffRH+RMr16BiDwiIqtFpGD2ORE5RERqReSv5tMjnmCV0XKennZHjgmkqmYRb377IS8ue4Mz3ry8\nJ07Tp7G4Vpvp3lr2Cle/2XGB0Px9P+rmvkEsqpnPByvf5o2lL3NpG/R9Ea2xtYdubmn0lpwBKI9W\n8shxv/JNFVXVC5i38l1eXPIaM169qKdO02exuEY7UL+74hXu+KDtuk6FsDAgHzpTxLj9fszn/ZVv\n8fqSl7nwz2dv0rH+UVAME990PArcBbQX0vKGUuqEjg6U/Pu7QCAU2VRyzVlnQ5JdN1vzySzjRkuf\nMmBXHhh3Gk71cn+bX+8oGJKcVxrAhivbcygnhNj2mCRMPmWr/LDGdCC8+OI/n838mirioQSzj3iY\nRLjCbCNn/5a0lxOyDIXDlC27kyoQrtyS0X3bsWICJ+16PR+uqG13fINoSet9R1XsyUm7Xs/HKzdm\nmRMnS5XbdTYE385ybZi+UnoWPGbgRM7Z5zZW1LXk1Iayjtx2IhEMwQ8mVNTbzLn88H0Imf19tiWj\n6XDx0mDC6iW4DiBj16f9bZbV8ROApZN+OL5KJ/O2mfWZjH+OnPB8s2yrllhn0NeFSh9Ej8kZ0AzO\nSXtvB2QTg/rbJFtuwYZrlziGLUwmSZg6RpOHjOe+A68nVLMSgMxa7QqaSSdz0zB02BfTdueuMTiX\nGXYk6sa5/YiHibpZf59sosK8RJUBGWO/27IUby3dAMBhOw3ytzWmMoRdfb27DJjIT8bPYkNTisZU\nJudYAGtNuPg36xsYa5ImxkPabDV+6KQ2ixjbMHObVDOYwiGYWBF0P8YO3ourDpxLjanXVVaikxAm\nbG3AkhYWuHqdFbzW1GUqveBIa3bbl79k5VRrVju7Xn1j0nt21ySVJz9SNaYcxSaUgMlHf5Azvarg\nKKXmicioDpptkVF+cvLFnPHJndw/5YIedzrrLOyMBWDm6+cy+4jHuPL1c1hkIr5uOuyhNgvsdRVn\nTb6by1+fTsgJc99fzuK0ve7i2S9u5NuGhUTcOKdPuouScGEnx9Mn3cVjn13CT/ac1WabzuCy/e9n\n7gcXcMG+symLbF0Olad/Mpeq+hXE3TC/mnjBFk2gaGt8dRUicjQwB12p9yGl1M15238B/Iv5GQJ2\nBwYrpWpEZDGwES3DU0qpfbrX+y2PviRnnjj6Xma88gvuO+h6zSCn12+J07ZCUNZc+fq5JMLlLKld\nQDQU57qDHuwxB+erD/olN7x1HhE3zq3v/QdRN86Px8/hf766gbVNiwk5Mb435vaCJU7mHPkwl712\nLjcdOneT5d7MA+7n7o8u5IoD2i5S2lcxY/5jVDV9S9yJ8sSY06g0it/mRnflDPQdWdPbDE5HUMBU\nEfkUWAH8Qin1RaGG1Z/ocDu/VIDrtCoR4EbC/m+bmt8x5RBKojGeGH4qsmY1KVbnlAqwVawdUyrA\nicRQpsgapqCdeIa5sWxBOOb73lhYH5qUl02NbhmcZEYRcfUxxw2exEX73sGGphRV1VV8YnJkXPrq\n2Vw89UFa0tkyAM1GY/fLAmSypQKS+aUCvCwDlPEUYRlKVfVHANz+7s9pSm9gVePHANz69s85bETO\nPenDdYTJA2/g8+UZQAtoWx3ZMirRkJN1pDOzXLv8w/wrWNe0mIgb44xJd7GmIczG5iZ/P73MlsNI\nhG0Sxmw5Dfvs2WXW8TLX3wfI+sXY0PpUM5I2BQgtY2MKEkpK90Mlm8k0NfjfIVsWQyWb+dPKt1md\n1s6X//HuDTw9/Pu6H8a3wEulySRT/vecZcbbpJmW05EXagGIiAvcDRyOfpY+FJE/KqW+tG2UUrcB\nt5n2xwHnKaVsRjcFHKKU2tDtjvdddFrOiCMkSiPsXcCpGLS/WYm5XytjhkFu0veJpJoZ4ET5zcE3\n4n27CIDkeu37Ydliica73PHuwLIjewyZxDUHz2XG8//Mx99qhefGd87jpkMfpd7cy/nyI5n2aDTM\nTb0JIV+1SD8325XHGGB8XzQDVMJZU+7n6jdP4cv1mrVQn1/CxuZ1LNr4IQC//XomEyuvA+C1v6/m\n0HGaQTly1yFceeBDJMJh0h45qTzsdVcbx+dgwkLP+LumMopHPr2Y1WbSdtF+91HdHMVTLX4frZNy\nMqorha/NpLE1Ru1fm8wb5VCBMjy+L5NkjxmxTs2Zer3f+sW6bUsjnmH6vXThhIlB/N/6T1id1j42\nP/3mQZ7ddUarNvXL13Z4nK6iO3IG+pas6eteRH8BRiqlJqAp5t/3RifO+Pxupr17Gce9dSk1yfrN\ndp7ZRzzMkTudxIPHZkNEYyanwq4DJ3LmlNsK7vf4Z5cw+4MfcPfHP6ExtbHT5ws7+thDYmM5eNsr\nCJlqtYNjY9l/eM8lvsrH2sZFzK9+ny/WvcHjn1+62c6zOZG0Jq1eQDdDN/cB5iulFiulUsAzwInt\nnOafgafzT90zV9Dn0CfkzIz5j3H4x9dywl9voibVsFnPNefIh5k++rs8fNzvKI9W+nJm7OC9uGxq\n4fw7f5h/BY98/q88/fVpNKc7L2cAombyNqpiT76/+42Eze9tEntwzI7XbMKVtI9V9Qv5cv17fLrm\nNe79+MLNdp7NiaTKypotGfS8CWHifUbW9GkGRylVF/j+vIjcKyIDC2l21z79MqC1zr2HDWLfkUMD\nzI1ZxkyBu3AIN6Y16HCJKfLm/9YPXigR94s7flOzhHl13wBw2nuzeOY7M5G4njk4SpuzPJvdO1BQ\nE5Wb8lsFZhlB5gY0ExMJlXPNQQ8DOgFWfTLD2VPuAfUL/mvizTSmYjSmWmhMZag39uX65jSLq6tY\nWq+ZmIf+ehFHjryVpmSGJjMDawkUgARIpz08T7GdcwkN7m3s4l5A1dI0I9TFNDq3M1pdwOLlGZSq\nzum/BCNF/IAyY1f2i28an5iQQ9zQK9kip6b0QUrPnobFx3HwNlewcG0DpSbywS4TYTenuClAacSW\nRXAp8enT7AN2yatns6R2PvFQnEeOe4yhpQPtwOul72eT8pkbJ2kYm2atuHqGtfEa6/zvfgip+Z1u\nbGK8M4Q3vaXsIYOZ7R1I7XwddpppTppTpMk0a1Yok8xlcN5btob3V63jjdI11IayobedRTczjI4A\nlgV+Lwe+U6ihiCSAo4DgVFEBr4hIBnhAKfVgdzrRF9EVObPy9V8xdtQAnljxAlP2O4B99j8QyM72\noyHxmRu3Ue/u1unZdWblfABali8gXa/vN8skuyVlfFO/nLcaFgIw44tf8usJ53f6Guz5O/MC9JSi\nNFLJnUc9TktakfHgpkMf4rq3zuOyqXOIhEpJeZ7PjlhZs7phESsatJx5LnMVh2xzsy9jLKPz3N9X\nc9TYYf55QMufn+51Jw9/cjE/2uMmlCrh+B1v4TmuYkzphSxbLyxYpMeqYWMLzy7XytPLn2j/pFOn\nav+ig0fp57k04vpyc62JnioxMsJxJIfNsT5Aoyr25Ed73ERtc5rGVMZPXlhhyhoMTLSum+VYJsjI\naj8qU+CiP5/Nwur5xMNx7jUJHPNR1qwLaTqrq4Bcts0p0Sa59CrN5FlZAwG/KoMJ0W15vXE+e0a3\n5YFh38Wrq/F9d9ImPUrjt61NnR+t3cBHazfwRvlaat1kq+0dYRMyGfcZWdOnFRwRGQasUUopEdkH\nnbenIG31g7jOx+CGHWiA6oU1vg0xFLNVrE3F6FiIcIlRdvIUm0i5pm5DiSYi5foFFTMxgZMT23P3\ndqfiNdZlX6u+I3NuLSTlea1CgYOZbf3K0lbBCdSmAe0gV5/MACX8ePxdJDNQ36Jv0trGFHVWwWlJ\n4xlFakBkd3aKXsCSdQ00NadJm2OlzbE9SzVnPFN11mHbzIXU14PnNQIOw71fUA8or22mShzxM7lm\nFRzj9GuUGdd12GgrroftUo/VmMQVKHUrUwZdSnVDBGimtFmPW5n5ryoSYVqM8LGO1MEK3H4mabKO\nyAtrqny/gnNfPpunv/uUGfDcLM/ipRHrDGwVnIBiA+DVVeM16O+ZpkYAkhutgtPMPU0Hcon7NtfX\nTcat3kijUWxSDfqeSTWnSTeZyu7mv7L5KXZOuuwYH8J7+6xh1eBmeKfNoS4Ip3u28a7M/Y4H3gpQ\nxgD7K6VWicgQ4GUR+UopNa87Helr6IqcGX3cf3LVKXv6ocj2pWed3gfGXEpqFgOQqdLZfpvNSyxV\np++joHnSKr0AcaWfk8mlo7hnpx9l0ww4BWbJRu6EBulMtoONbFvb2DlmMT88vCxawS3THiWVUaxu\n0Pfy31doRcOaoZQpnjkgsjvjyi6ipjHZyll4VU0TS6r1dQ4qMWYYTxFxyvivifcAsKEhybL1wvjy\na5m/YAOwgYaNLeYcypdTa5bqwIeH1mrLxh+301Gv3917O/7nvaV+e4ARQ0zm+ZGVDEgYme4Kp+11\nJ49/fin/Nv4mIm4ZKc/DU+LLlGZzLmuyCloc7dhYRSdY22tBtY7KArjwlbP55bHZcgzWROmsWtLm\n+Fu4Q3QG4g2v/LnVNsuO3KsO5CI8bvUORRatoTqZJmnupeb1eoxazPgFMWXIQKYMGchHO23gq9IW\neLfD7uSgm3IG+pCs6VUFR0SeBg4GBovIMuAqIAyglHoAOBU4Q0TSQCPwgy3Vt/PrX2Rh/UYSTpi5\nI05h5urnuGfnf9tiDl5dwcHb3MQbK6/FlSgf11yCKzHGxGYibHpfV8bupsVdgaNibNd4AW4PVFAO\nO2VMHXLjJh8nH9avYMLQSdxxeOEU6T2FCqLclzmMlOp8gsl8RDPdsxAXmll9uHo9H65p12S9AhgZ\n+D2StrO4/4A8ylgptcos14rI79A09Fah4PRlOXNuzXMsSG8gURvljsHHcWXta9y720/7pJw5YNgN\nvLf2RiYNvIS/rr+L+vRSHKJMGnANTg/IhW8T99DirsRRUbap+zmuKtnkYybCFZwx6d5NPk4+4sYH\nc8LQSdw8bTPLGonygHsk0s2kqDGve4pKWwzO1iRr+k0m4+d22BPIap1u2MU1YZr5DE6kJEKkVGvs\n4ZJcU1WkTD9U3ws/z3usAuC7JeN4Ypvv4RpaURLlOGWaknTNUhLaZ8YzNaxUpAQvas1XWljZpFRN\naUWTNRuZZZ2ZJdnQxtqWtD9zslRxbaOp29KY8rfVGIq2vjnNx7VnU5P+BICBchA7KZ3PJ53MZXLS\nqUwOmwPZmZCtcq0MBfrtkGtoiekZVKJxX4asPw9xXJ+5sUyOa01UoSxb4zM3lkkzDE4k6voVb61J\nqtLMukqj9neYCkMb29mV3VYRDfkz6Nnv/5zFNQsoiSS49qDZ3Pbeldw87S6GlwwgbmdSST3bcVo0\nKyXJBpwWY3Zq1DOgTJ2eQHhmqRo3kjEMTku1XtpZU7qhmV9kXmexW0c0Ldy2fgrxesPI1ev/KNmQ\nLMDgmDFPZfCSGeojGe6cupy3Hq/tUobRz//5mA7bjf/1cznHFJEQ8DUwDVgJfAD8MOj4Z9pVAAuB\n7ZTS2puhkV2lVJ2IlAAvAdcopV7qTJ/7C0REXfnCl3x3j+G+c7ENCR5Rpu/RxN9epGW+LuKYbjBO\n6eYZ8zKtQ4JPqP0N76Q1m39SbDd+td0PfTnjlBrZYh2PDZPjxEpg2131sUO50XuZ0iGsbmw/9NhT\nyneE9TMYG0ajPpnmt59pubdwbWEWN+Mp3ttwJtUpLWuGRQ5lQsV1/vah5bpPB+ySW7/aJvf7bFkt\nn3+5Rq8LMDdLK2bSHP47ACXNU9lm4y/MZefKmsohJT5TnA/HFQYN0OM1aQdd125YuZbt4QIvbGv+\nHje0fQXtmjfPYUmNril2+xEPE3GFy147l1un3UlFtNIPqHAFBm342lxwdTtH1LCZk1f//v8B0FJT\n16rNZfH3WeTWEfdc7mjYj0QjJOv0vWVZYWX+v0Kh3XVOiuu2+4KX56zucTkDfVvW9GkTVW8iLmFQ\nMNEdxp1Dj+/t7rSLT6pnUZtcQkNGU+Glzhh2cn4OPeAHK8b8FWnZiUEbfrrpB+xhLK5Z4Ed/3Pzu\nlTwYoIo363ndOj4Ir4UwXDXwE26pn9DlY5QmXS57fQeO4bMu7dedDKNKqbSInAW8iA7dfFgp9aWI\nnGa2P2CangS8aAWOwTDgd8YHKwQ89Y+m3GwuJEQrRnuFt2FOxfRe7k37+LRmFg3ppTgSQ8yrozy0\nG2PLeiZhoaO0YhRNjWZo3Rk9csyeQlDOXPXGudwz/QnuPvpxP1Jqc2KRW8cHIe3Hdbn6iDsap3Rp\n/zIvzC1LJ7AXXXtku5vJuC/Jmn6j4KRatCbrGk1Wa7TGTu6aittmmXbTWZ8Ro8F7YTPLNjbxe6LT\nuCT0NrMTh1OeCeNl0jgxk7DLy/hOXlYDL1ipuw2oQKkFu8wm89NLz1Otkvf5YZoZj2TaVOpNe2xM\nLfGZmwhDGBe+FZWMkTQzpiBzA9oXx/9umRs/KV3udQ1c9TM2DHmMgWt/gvIcMjQhrotnfAAcm9jQ\nHMfeUIV0KzvrzbiO/19kQ9nN9ZiZWTCZWCqPXcqo7HjZ6I/xQyZx3cFzA1V92xE8Kusf5dee8XKX\nKpPxQ75tUi07E8+k0n7yrz2aK7hq9fhWbI2X9MiYcbfMTdAXJ5PehDDxbtrGlVLPA8/nrXsg7/fj\nwON56xYBE7t10n6Gg0cPwhHxaxDtFNYsR/q5JwFoqK5pl7HJxwOlx3B+w0vMLZ9OuYr4rA/g+9k4\n1t9mJ81SeyUDWx3Hwq1fy/CEZi6+bS78DChaOyNb37//+2K1z9wEfd4A6tNLfdZmSORAhkUOZWzZ\nRYTzctisr9eypNqwyxWGgV2+Qb/H/vb12hzmBvSzPaz2fNaU3cfQujNyzFP2uXfzmJxC8DKKtes0\n0/rSen2+kjItoyyjs/2ghB/4MCDW2rm4EGyF8HGD9+LKA+dmHY/z2g1ym6Gp8xFmYlJfDNhtFADf\nvvd5qyR+sYwLIdijpZKr144nWd/cirmxUBm1Kb4zOdiU4/QVWdPXw8R7DRUS5eHS46hwYr3dlQ7h\nmvDuUmc39oo+TEh6LlGh4yUYvHoGjtf3fAIAZh32EEfseBKPHv/7LZrAa3bNPkxvGsGDq/al3Ouc\nkOwpiON0+Cli60CFE+ORshO2KjlTHtqNPcouY0LFda2Um006viphm42/6BHfm57GrGkPceROJ/HA\nsb/b4okC76j7DtObt+PhtVMpV1tO1nRGzvR1WdNvGBw/esf64EQcn6Xxl8Ynxw07vnZqbZZ+gkDz\nh4mb/fNaxfoHy0C42eKaOct2oOm3wr5PwZIHjl+qIHcZcbNJ9P628WbSXj1hBjK+9BrcdKnphvhj\nYlkN5ZnfnvLpR3FsPywTY2YGTtuzT3FcP5TRnsOGkAd9ctxQbmSV+DOwrF290LXZ33adHQcnYOe2\nKI9WctvhjxHP60e7CBQr9P8/J29J9n/Pvw8cx6HCiXFn/VRS0gwuXL/DlyyJNhBJCjcsGEcs4+Ck\n8iLMIj0jDPpDEbytFZ+s2ojrCIfuqAsyJl95CIDURs0adIa1KQS7n0PWd8ctMevG7q/buJ17uTmN\n2vdjeExHHX2b1GLehm17AQbUppBYVa8ZlbqWtP/c5TM4EaeSsFR0OIGy+1Wt1kzQLsN0+/eN3019\nTXMrn7/OIF6qZVRnE9BZuVdv2KJ5f9OFQaPxEHuM1ErK+MmdU9CsnAEdXZUxkbU2CaCVW6HVX/sy\ntCsIj9odAOcvX+HlJQhNNMPspsmkGpKkSHL1kM9YHGkg5rnctGQ8ZZnsfSGuUDZiQJfPXwj9Qc5s\n/VfwD46G9FJq0n8jxQbmN93X293Z6nDax7M57I2fc8LHN2xScrUl0QY+Lqnm3QEbuHHHr3qwh63R\nzeRbRRSxSWjKfEtK1bIh9RFf1N3S293ZqmDlTE8ki10SbeAvZTW8U7Ge60cWTLjdI9iERH99Bv2G\nwYkPMOUU/CgqJ5sHJ5D/xv7Oj54KJ0yCP/u7JEYobnLlRE05BhPNIJFYthCn9UHJY3BUB0yOvS9s\nPhfr4W8LU0Zdxy9VkDLXEUyZbvPoxEJxSEFleHf2HnwZLUndLzfkkGrJzT+TDuuZRSbt4tncMum8\nKCqf7Wl7ZiUBdslnbEK2REb2dyjsstC7g2aW4xJlXOJKQlJGKOz60VNlfoK/cM7veMT1EwXacYia\nsQm7jj9e+QU524P9T0Qc/3tVwwreXKedfGd8+UueGqOdGyUaxzW5ckLxwr44kGV1Eo7u/7imCq5e\nP4FYufj3XzqWmwcnk/LwkoFZXlsBlG3AJrAsYsvD+oa9WKWdPt3tdTmdf52wDQDhZ673S3R0F5FB\n2scmtN9JekUXim8G4TRrX5DhJppzfoPJKxXw8bDP0egB2gQ9eOK2fLJK7/eRSb5nc25ZE1VFaDfG\nV1zsMz3Qmu0BnRMHspGeNWtM5GKgbVfKAcRKIu1un5+6nSalZc2u4ZmtmCbL6DQ3pvj4G52E7+Q9\n9f8WC3ftRZ0J1mYAhjjZEi+FUFW/3Jczp/9lNs/se2XOdonp8R8+7SC8asN0LdNlPKq/0VF2VmZH\nM/p+GNtQzsxlY3OOUzK0jEi5NvH5ZWO6Wdi3P8iZrf8KDCp2MLVhfHOUq5P+ASHj5ObazMaxCCGT\n1dgqNKH8TMYlMdy4vuls1kmJmVpU8RK/LpWYWlTKKDx+dXHHaWWuss+y64BrHoyQq29aG65oFYyM\n5/rfs1W4szWdbF2nU3a5nReXXs3+w2cSdcv9bMVNybSfXdSus8qMl/HImPDQ/DDxoPDx8jwRnZxM\nxoXDxK1ZynEdrWTVrqQurR/sJZk5TB1yI/FIyFdeyqJZhQayYePlsXAgk7GtSZX9bb+HjOzPV3Ry\n5GY27bK+RifkK6iJsP6PpwzYlQf2vhAnZQVXBmXah62zp71/wmFS5n6x9889DdO4NPMO1yenUD40\nQqY56Tusp229HJtwMZnxhRUAn9Ml+Ga1Inod9sX+2F911t3IuP/ijDH63mj477uBzpmtHPOfJnYf\nj+xxMIB//5H3gpJOBDLktE/rl26qHT86+9wMjIeZur02cexQqWXhm/N1llyPa/mkelZBx+L2lJ1/\n25tMYlAAACAASURBVFdnInb2GwXQbi29+pZ0QIbp5apa3f+qpe3XbWpSy6lTWtYsSM9mTDhPifAn\nZRAxcmdHMzGuiOrxb0x5fuqOpJ9gFHP9bU/6Qut0Buq2WiRc/Z6YMmBX7p/081bb7TMd3nYUaphO\nITNwZy03ynZbDMCqP+sorlkrJ3Kd9zkzl431zVMxcx1D9tqVVINWtpLGbEpz17MYB/u0NaNv80tF\ndIhYqJwTd5pN1C3v7a4UhGOqbFeEd2PKoL5Xd+qpA67j1O2n8cIBt2xSFfkKotybOpRy1f4ssyew\ntdPGRWydCDtl7D3ohh51LO5JuGhZUyJjGB1qrUT0Jp7c53JOHXHQJssZgHIvzM2LJ+T43mwOFE1U\nfQgDx+iU5UFHUL9ieKuaVBHccNj/Hlz6zEwk5lcRtzWpHMPgSLwEierZkE20pVzzYnMCTsd5Dq/i\nlxdQvqOsTfGuzG6lts8iPn0cDekpRJDJaInr2U1zoHp4/rIlr5q4rTSeTHtkvNxt6bxZVyHK2SI4\nW7OJziyj5AZZJtdhx6G38cbK6zh85FVUxLRjX9D85JuhrGkulGVpgt/tddulDdMN5zke28ctx9nY\nLyJjmRzX/78qEoN55rDb/eriNiRXQmG8/GryJXomGSpvJmJKO/i1p/waVCn/d34NqiBlfGnoHRY6\nG4mrEPyp0Ci3DaePRy78IyOZ9pj7d32flO51OgA/K18MwMY3XgByGR1rBi+ddioAmYrhrQ9q/25r\nIhWnyyxOV2BNwqMqjdlqT/2sfL5GJ6F7f8F6akzS0UJywsqHkyfpMgSH77hpUUfWHPT9J/4KQG1N\nYTPQruGZmrmJ/4KQlBIzzP0Og7Xc3mt73Y8Jw8vYziQjHGbSg9g6dTEXnbkliDz54blhX7ZaOZOO\njQLAaapFmm31eGO2SqeojFW0Mku1BZ85sazOyF0A2O5k7di+/q15rPtM5zyzaU52OHo/vW9JOeG6\nanMc3d9za55joart1LmD6A9ypt8oOEX0TUTdco7b8fbe7kafw0JnIx+E1nRrX6u4F1FEEVmEpJTd\nIlf55uoiNBaqWj8rf1fQH+TM1n8FBoPG7QgEQntdB8c6AttZeTjrGGx9MPKdhcXO2kPhLINjnYvD\nWbbGs/sZJuD0eVfyTc0iEpEETxx1D5XR0jZ9cEKOkD//so+kG0gBbxkL316dttW0PX+dTThlt6Uz\n2fV25mPTsFvnwmASvfylRWcZnPww7+DS+gzlOwSHHSFk/ic7W7RMTNT/nXWytussWxR2BJup3e4X\ncnNT5xf2wTGFUEORVtuUa5NCGiYvmkBS2uynWnIdCFU6hdNi2BybINEW7zRL0kmUYXNs8kDPtsl4\nlK8qg+Y1TApvw1+6KHz6eu6JIjRsOZW567VPReXeumDyv9T8Ga9e+5OE9j8FgEy4QB4cy9L4969e\nnPHnC6mqWUgiFONXR9xJZbSiU/2xPnT5vnVtwVofbFmU74zQDMj2FXHeWqD9chaYpIBNAad5KwN+\nsMfQTp2nw36Yft//PZ3o8F8f/cgPYa4woeM7DdFmnynbV7LHMG1CG5IwAQyRXPkhwTDuzkR0+1lZ\nTdi+l8EUz8AL6f8t7RgXgWi5T/g4Gf28WybHhu87zXV+kV/SHfvHWEbHKdfO54MPP4rSEbqQqw2A\ncYdtbzqUyfoXGjlXWq8DUbqK/iBn+o2C09v4pmYR81a9D8CMVy/i18c92uPnuOXd81m2cQERN86F\n+95LaaRzgq2InsMZn9/NN3UriEuIJ8aeSSXds4M/PPhkzl3/J+YOOo4duLVL+/Z1u3cRmxdVNQuZ\nt/I9AM54/VKePqpni0leN+9cltTquks3HfoQZZ1UoIroWZz28Wyq6peTcKM8uc/lVLjxjncqgAcr\njue8uhf4A193ab/+IGf6jYITHzspd4Xj+MnoskncAsndLGNjtVSbRMvO6J2QbwNVwXV2aY5p1yUi\n2s47eehE7j18DsoJtQoV91kaR7Acgs/YqFyP/YzKsizWB2V1w0I+XfMOAA99ejGzD3/cZ2m8PLYm\no1QgIoucNnpb7nAVYmzai6KycPPCPP1IMQkmKszd3w34FwXXQdbc7TqByCh/XbZtfph9fptgr1Qe\ngyO0/k/F/P8qZMtxpCGqZ+BSYuztmQxVyQ3Mq9G5J85a9iy/2f8avZ+NdLGMTiaTjX6xyRO9jFaQ\n6leScKP8aurlVIa7nrW1PwiefyTYZ2t9g7437okexIyp2tdGJdvJvWTv2zwmJ2EqWU8eOoF7D725\nQ58cp0n7X4yp1MzG17VeuyzOktps3aXr3jqPW6bpyZp9ZkeUxTh+nO7/1+s0g/OWibRaX9/CaQfu\npM/bw6aiwSbdx02njGeQKcQ70KaVMNGbIaFVuRxRxs+mezkYO4Wc8bTld8S8XiOmeGpUszwiWXYn\ntEyXvijE5LQVWi7xEuLj9tbnbcwrzunqJLQzvn6IqoaVxN0Ij27zPX49/L8o4cIuXVN/kDO9quCI\nyCPAscAapdT4NtrcCUwHGoGfKKX+WvBgO7Teva1cNEqklfmoVdtgmHeBLMW2/YxXzqdqwwLCbojj\nRh/DQ9PvpyJWqbe3MlFlzSf2hWwfC88UY1W+wiKtQg7LjWPzxKGTuPPIu6mIZb3h/LQMwecsT4i1\n55bY3aLy7cmw/NEPOv5aRSh//6CTcH6KDPvTkYDDtuRvK9Ah3wwVMFnalOchEx5vhKJ9USjICsrA\nMm6yw04eOoF7jpxLJpIXUeK3LTCgyuObv9Yyr1pXTD5j0VM8fcRdrdt1ALcf5KfYkuhROdMDyHiK\nN5ZpxebQYZ3YQRzO+PMFVG1YQCIc565Db+bSt67l3sNuoTKs7z8/x1Pg5S5WeTLr3OqlAIwp34Zv\nGly/L/mw9d3GDt6LKw6Y02q760CZCaueMFw/DyNMxe4F1Y0cNcDU5xLN/HRXtrSFScMS/jWJMRv5\nwrKHz9URunJtvhKkIG2UH6dyW71ct7hV+3ZDy33XCrMMmN3EcahqXs28um8AONuN8evdZnS+owb9\nQc70tor2KHB0WxtF5BhgZ6XULsDPgD6XqrdqwwLmrXibV5e+QcSNUBnbfHVK7p/+GCfscjLPnvxH\nPyKpiC2LJ466h1NGH8dzJzzVad+HIBLm5TF5yHjuO+iGbvWhu6GbInK0iHwlIlUicnGB7YeISK2I\n/NV8ZnZ23z6OrV/OVC9g3sp3eXHJq1z61nX8evoD3br/OoObDtX13e6f/ruieaoXsSmh5VY5mly6\nI/fu/JNunX9TwsT7iqzpVRVNKTVPREa10+QETLVRpdT7IlIpIsOUUqvzGzaUbpPzu1M1iaAVS5Bz\njHb301tjxjQ1afhk7jr6voL1YkS1rjzrn9enn3NPWohyLk2U8OwJj5hfhep10/kpRSfDTGe8fB5V\n1QuIh+M8Mf1BKmMdCLx2MjjPePlcqjaYYx37UMfKYJsMnEOrqZrftjVVrPwwT2NWxG1zmNqj7hUQ\njw3g0ZOfBaAlZ782d8vBAyc+zXkvncWcI+4iHKukO8UhukMdi4gL3A0cDqwAPhSRPyqlvsxr+oZS\n6oRu7tsn0ZNypqfwlTHtHGoYkI6eR18xHjqRe6fd2srxOBhC7rTUtXtMd+MqxpiK40szmgFqMYk/\nPRQVMV13qTPOyNZstX2F7l/0e8fztkn9sN+sn+luTP2ePra0nTjurBfOpGpDFfFwnMeOf7xd2SCp\npqxLQQHMePFsqqrnEw8neOLYhzfrpNPP/N6lffCTCa4LaUfs7ctM+Ya6dX67ykhpm6HlNp2JGjYa\nMCZ1QDJJSKd4avAcTn/nOh7Y91IqpHu5ubproupLsqa3GZyOMAJYFvi9HNiul/pSEI8d/zgnjzmZ\n//3enzbrg9RbqKpewLwV7/DS4j8z45XzN+1Yhu16afErzHj5vG4f58wXz+LIp4/mxP/5LjXN7Wc3\nLbj/C2dy1K+P5KT/PrFb+28KKmOVPHr8rzaJgetmhd99gPlKqcVKqRTwDHBiocNvwr5bK/q8nHli\n+v2cssvxPHfys5uNuelNVG2o4q3l83h50Uuc/eKZm3as6vnMW/42Ly16mRkvnbtJx5rx8rkc8Zvj\n/j973x0mRZWu/54KnSZ0k3OUJEGiYsCMCBhQ1g3e9W6+q0R1zZgwLKiIIFEFFATU3d/eu+7evWsC\nkaAoBjCsgSEMYcgweTpWnd8fJ1R1dZjungFmZnmfp59Kp6pOVVd99Z33S7j+f36MslB2uWSmvDMJ\nY14fhR/95YZTL2dcBfjTJTMQcJrQs0Adqok3GFnTGIxszpuQVFneVxkfB6fYdpNheza/D7E9YZvY\nnxDL4dXp70GsdW6tEC9dsxIqYYn0iM3pVdZrkj3ndmMzJpkWoXnL0ZZYNk2LxRH2VbufiKO91TaJ\nD4jDvyTufKmWOfI4NTGs+dlYMmgS9CPb4xs4WZYkfkpinXCnHdaiL146925opXsTHIDjannZEvPZ\nj1d07HsZRTL57Yl47ZplVokMfs+polnHkv5JbGb78e34cP8mAMCEtyfh5WtXSgZGOG1TiqTrxHEs\n3ynEb0Pi/s6BcLqU75lAdeUUuZXsIz7c0YYCuJAQ8iXY6OluSum3Ge7b2JGRnKkvCN+XCHcyd0Uq\n0zVHwO3Ha2OXWitShJArocqM2Fm1ktXS6lr2Tdx6paA5jDyWUM7MY2HJ1dxfrSoqyipQmZ5CPNvV\nv2Z1s6KhGMBrV228nUV3nTXmfQBAh4dYPizDU5jwTni54/SQtkMx/+qFSfuscSXh+AtPoPUtLIli\nLNCJd9xih7y8/MrQNkOwaNTz6W5DrRCDMoApO69d+3K8HOWmoGQM7o4TRVLOTH1nMl65biUAIBij\nqOBh9aIcRJGHpTnpqShAeS35sRQV3+T3BwCsKWKMj4sHzeiKx6prqMSn2cgWOcoZoAHJmoau4JQA\n6GRb7sjXJWDRszPl/LkXjsDwCy85uT37N8HqEY/h1k+ewovD76/TaAAAVl0yE7d99AReuPBhBNy5\nl5awokgGYdGVz2W9/+4ylgW0wFWIxy5+Mud+5IpPP9qITz/alPP+OVLHmXywvwDQiVJaQwgZA+BN\nAL1yOVkjQ8Zy5t1X5sn5swYNx1mDm5qed3qw/LoVmPLOJMy/emGdmfBXr1mGie/ejkWjnq/zsYTi\nNbTNYCwaOSerfePkzKW5+dvVBd99thnffb5Z5v/JFnWIomowsqahKzh/BzAZwBuEkPMBlKWyi198\ny2QAVnXafx2tstL3y4rdvJwAseZ1mRhOtLG0X5cWH8Is/m9dIXEJ+eK3sSklkMnoJPNjY2SIwcMC\nDWE75UmhBINjREAc2wRbQ2NRKxyZJ5MzHQnnYBoJieascGUz+ToneEKrV1uMA3Z8h3CSqsaSonSE\n5BNFSVhXoOtY3fN3wPEjMDWeTlyE6+vxCRcVTbcS84kQbp6Mb9Vls3Dbxkew+NIZ8KtuIBoCUUVb\nfjxbxXDB3IhyFB0LOuFAVQkqIxV4eP2DeGHsSrlNJkc0aVzIPgBEYlbCRBGOb9raA0CU72RQa94K\nz2fH8/UYjIu7D5L38IXnnk64r+mQjBbe+H0xNn2/J91uzo94JzjqmFNKK23zbxFCFhFCmvN2afdt\n5MhYzoz69dR6OaFgcP5RxCp2j+/KmIBMfeOczCmJ8vIFZgrfvBQQYcZmOQvzxsFiayN/b/P485Yn\n3m23R5atiexiEYEbdyWaYIwoky3b/87aHPrixwCA4UtmIdKeBbOZnDgLeAJYOW510j5qYVbdfMft\n/wUAKNtTjsOf3Q0A6PNbxhwpF9wIAKCuPAQ8Abx2/YrEA9kiHEUBUqolSbBoa//qmJcwac0dWHTl\ncwgoOhCpYWVdRAFe7vxrJPFX6lRoyZlH1j+IxWNeBQBURAzJ3IjdxPIPehf0asZTV5QeSNoto31f\nvP4h07/TJWRFu77oea2t2vgL2Q0GUyX6a0yy5nSHib8O4FIALQkh+wA8CrDMaZTSFyml/ySEjCWE\n7ABQDeDXp6+3Z9BQEHAX4vVRrFJzLnaEAjdjoga2HoKnr8w+TPt0I9nI6pJ+3XFJv+5y+am/b3A2\n+QxAT+5sewDATwHcHHdcQtqAhVJTQsh5AAil9AQhpNZ9GzLOyJkzyBUBjx+vXbOMLUST18BKhQLO\nUg9uMwRzRjYNOQM0LllzuqOoau04pXRyJsfatp85gFlFH4lM+vaPXY/gWM1uuDUfbuk3B35vQNon\nU5UKcGuqVSrAUVbAoyuyvSj6qNF4GpAoiXlsBFtCzBiISOwkmBs+oiBRFptDjIgsDWDysgBmiMXc\n0HDIYnBE+QAxjYqSARGryKOz2KNhyHWUswxOBsc0Uo8kFduDT2TyRF7klOdOUFQ1odipmBLNJRkb\nWQ6DT+0lM2RxU14+Q+FtqOoCdDHi5fs5fBIoUSQDNPmdSdhxoggezYslY5dj4ehXcNeaKZh5xTx4\ntEKEDVOOoGTpi6gpy1+EjfhSGeGYkbJURtRWxDTiKHb6ZtHDOB4qhqZ4cE2Xp+HRcjPTKTnkp6CU\nxgghkwG8A1ZOcBml9DtCyK18+4sAbgIwgRASA8sH87N0++bU+dOA+pQzteEv3z+Io8FiuBQP/qPv\nHHj15P+xGHlv3sUYnO1H2HN/94gukrHICMK/Ll3CwHQw02S/syWoZOCyJRKCWckYm+1vrM34VBX7\n2aD9gxsnY9idLGrf/eO7AAAG92UBANVk59FLWJK7rXdNBwCESrmMVAlqjrFSB1/OYRGNrd9nCVA7\nT74LRjPuH85ZcrWC+bREt3/O+vHVV6g+xO57x/uY6cj0WNFskkXnMlYU4o3zl6Rcpjmk/NR3JmFn\naRG8ug+zr5yLRzc8hKeumAevy4/ysOV3kypALWZSbFdZkdJeLQSTw9ga4mFs0XNby6X8SYX39k5H\naXgPdMWDMTnKmlzkDNCwZA1xJoNrjCCE0DGLmSOYUGpcmiKVlfcP3obDIVa7o1vBVbiu22z4HNWs\nnVOfrsZVr46fKnLeJZUffl6boiSUH7fwteU1SUgsBBKx5tk2HnQc5kpMsNpSaHjlasqXzWC1VGhi\nNXwaZPuLqtaxUCRBsTGkwhO1KTvxCo5UeIzUzwVRiVXziys4QumxlBpdJopyKjqaxyWrt4tqyprP\nUbnbmwdiq94OxFdzh5uHSYr6YJxqpi6vXKbcfj7ytVHS2e/6nuOxcPQKRKRiwqYPfzAFe8p3Qlc9\nmH7JS1BJAWo4xZ5smqx6OwDUiOWoYVNw2Lp3S27F8QjLH9fWfTkGB5j/z1sTLgKlDg05BQghtPqN\nGbW2y/vZtIyPeQaZgRBCn/mgKG2bxVt/jt3lWwAA57Qag1v6zUvabv8J9v4nMzGc25WFcP+sF2Ma\npTk7CUSWYqRpkwyEm7KNfd8DAMzqLJQqGz5+iGU5DleEa2kZD4XLxnZDWEbkPs88y/qx91tsfYSx\ns8e+Z2YzVcjklux9VnUVRE3+aHubedCyP7NwhMuYQhXjMtGMJCpz3tbMR6fDNGYmJkZMKjRpzX18\nIGX4WaK+EOcKrnnDkjXjeo3Hy9eulIqNcNKevn6qLIXx1BVLUehO7ick5M2SzcwcdKSCyfp2AS/y\n3emVjz8X/Rol1Z8BAHr6R+HabrMx54YB9S5ngIYtaxq6D069QFPYx6+lpy8ubvfwae5NPG7b9CiK\nyvfAp7iw6pIZCCSJ3J+4/WUUBQ/BS1Ss6P4b5O6e2/Qg7p9Xz8PKK+fA70qs1yKiKga1GYLZKahi\ne3r6pz+6E9MuWpq0XV0gnkO/3gf9C+uQvyqJL9QZNAy4+H/cMX8AftTr1Duwp4J8TzQPVl32DJql\nqGs0addKFIUOw6u4sKLH7xDQfKe4pw0Xt218BEXlxfBqXqy6YnbSQAkha9KZpeyy5vGNd+DZkcvr\nva86fw7bePthZKdHcztIE5AzTUbBOX6EsRuKMFGpClTOqnTXH0REn4X+effhUKmCcle1ZHDyPcxU\nIjTiAl7bJN+jIczXyWrcwoHUtG6bcE7myrl0PmbMWHKllhgxSXcWlRVjw2FGnd724WN4ffC9AACz\npgJmNRuBbK/aj03VOwEAE4tewSuBGxCtZiPAaDVncMSUj1aMUFjOx4J8tMY7GQvGJFMj1pkO5qZ2\nBoc7ZwvHbT3eVKV5NblO87J7rHHWRvW45byWx15EXU6Z4NUiISgxYb6Ld5ZWACicObLfv4nrp+G1\nMS+y/tue7KXXLMcd707GM1fMQ6Hbj6AtzFU4F+sqO3/PZoMwaeizKA9FUcPvTRVnu0R16KpQDJUh\n5zrWxxoboxMTFd75SKwrfQAxZTa60TtRcUwBckrzB1lT7QwaHv6j7xz89/aH8KNeT6Y0T+0/EUzr\nHPppMXPA/2IvMwP9+jzGSPTNt5lIpIk7M+amqHwPNhxiI/oJH07HG5cwxoIa8awGS/HPWKpJu1dh\ndc/fJz8gfxej1dkxR9bu7PpLPj0IADg06hcAmBlKmHmlLOVtI1XsHXMXEigQ8iZexkaqoyjffQhA\nvCk9FYJHuHP0D5vZ8Tr1Sdm2qLzYuoebHsXrI5+3atrx/3Pp2Fdwx3tTMPeq+SjgzIwQpcJY4iyF\n4UyoKL43c9btAAAcr4q/x3uOVaNjc6ZI+b3JQ7nHdHkaa/Y9hpGdHs3ZFN4U5EyTUXDSQVcKMCD/\ncWgN8A/zcdPKsOZ98OJ59yYta+9TmDIwxN0B89uMi0+h+28Oef9a9sfiix9P2ibgCWD59avS2q2n\nX/ISnv7oTkwa+izyXX6p1NQnNJKPPq5HYRgmzLSVwdKD6LllJj2Dkw+vXpjSLHU64ZXvST8svmh6\n6nZc1gzN64KF3W45FV1rNPDGyZonkrbx80SeQOrs5jMvX4onNt2Bh0fMPWmlMDxaIa7tNrtOx2gK\ncqbJKDjV3AZMuA+MpitQOZujcX8ZMQ27FAQ5OyNH3Jy5icRcfGomGWVxXxJi2MLJ2YdK43SeqYiU\n58RW7JIn/LMXb+Tzq0c8gVs3z8ALAyfDDx0mT/hFg9XS5+bl1jdiClUwJ28U8moowhVVkrmJCh8c\nB6MTqY4iFmQf6RhnG8SyETVg8Os2IvE+OGaGDI6woQsfHNXFps8NKca+vCC8poYndvRFgaFD4/dW\n87L/yJUXkoyN4XSAjljOz2JsIosw8HNRzQXKnZTF/Vt86ZMIuPLjimbK+nuigClfNqkVAi6UHl0p\nwEMjlqI8FENN1EBN1JRKTjlnwMpr2LQyFEN5MCLnAcsHJ8wZnVjElMyNmBqS0THliC8nNAHq+N8R\nB8vYu5k2tNcG0W7px6xIZot8JpsmnN8JzUU+igyz66667BlM+HA6Fl80nZlWoslHSSt6/A6Tdq/C\nwm63pDVPCR/A+oLw4Ynagh2coddCjrnydTzdvwj7fEF4TBXTv+2DghiTMYI1zhbGUebIq/pbgPCi\nxlTjjs9c7sh7OOJx+L3NQQHELOkkj2UlCOX95iuErPHpfsy8/JWUfXl9K+uLk7mRfTUp9p+oYQu1\nMDl1QhOQM01GwWmsCLgK8KdLZ4LWpBZUAdWLle1/hmhlTb2ee/ag3djnC8JtKHjgo67Ij9b9cdiX\nF8SXLZiSNhPbMeOHfnU+ZjqI+2e681K2uf3dydhZWgS36sWiMa/ApTZuL6ZU+SnO4AxSIeAuxOtX\n1J4HJaD5Upul6oC55+1FSWEI7piC+z+su6zZ5wtiW3PmGP107yI8+a+z66ObaSHvIXHGTjEIOSOi\nNfNTOA83FjQFOdNkFJxQDQ8J5HbXWFSRjI0YORvC78RQ5QhajJJUmbAvJpdFyLlLho6zadRUpJ3U\nmcbfYg3S91eGHIrkfdwWTm0J+ygPD7cio8J8GklgbiIVfFot/G5iiFRHeftkDI6JvZ4afN2asUSz\nBxXj3vc6xY2anCSO3dwtkx8Knyfu0+QKs/W9T/jwh61dEY6FJVtkRWiZeKTZNhS7quFTXJhTORzN\nxX2xRWNZYeU8BF6Eicci8n7JInPiPiIRO0utlOn3rJ2CuaNWyP9HJvZzhIlHTRPBaPIIqapwzJrn\n9zbKmZtI2GJtYhExH++LY8ZM+SzmhCYwsvp3gmBuIrWE9taGfu2YYm6YwHHC/Dh8zVg+kryyYtYo\n00SBAunCxFO0NYPVqN7LWAZPgL2TUS5rTIMmsMEAUFIYwtdtmKx5fvg+PLipW3b9hCW/IlVRuA0m\nJ/qU5+Peb3vINkIOCTza8ksUu6rhMVXMOjIEhWY80yF8eNRmrOilWV0BwqNWYUtsCAAKD9OmulsO\nqMQlmpSVZviohMmZO9dMwbyrWbLB6kh8Cgk7FDM+mezusiD+VVI7Kye+W3uOsb4Kn5zmefVoVmoC\ncqbJKDhGEuFh8ofG5MqLydtQVYHBw4M1XWSpFQ7EYkrlQySmpphSKh3D5BRiOYNouWTaj3j45dRI\nyDJsVxCkk7Az3FsoXlHTZobi06hllooFY3BFWF97HPHgv9a1Q8Sk8oOfxkIFlQBLLjuAg4EwPIaC\nu9Z0QmGQ7XDv+s6Yd8E+3Pl5F/hUAgOGNBsaXPioLopivQqfeZkz5YPGp1hkXJF4jfZ7ETc1rfvk\nRJJ76+VOfQNbD8EzV86HSe3/V4ppkv/fmlo5bqSizJ8nsWzGTCngxXNn2hTtZM9rpiDaSaCjzyAj\nCIXW+UwI2JfDMTNpm2whBljntmdh4/bM+8IRPpzfGQDQLHhIpp5wwl5DSc6n+4gJ+cPNUeEjrH4V\nNUw5+Chozz76IseNaVCbbLLM3x6DnafnMR9u/6STNHEL87XOp8bRmgTT1PxLSnDAb8kaLRTDQ5/1\nwOyBu3DfD72YeUokTXepcc7Fxa5qfOZlOW+mt/wKzx0ZGndsb2sWki/zcMGW98eMH3RKxUfTAS/b\nj2pWX0VZh0Gth2DWFfNQlUaxEXDKnQ1Fx3J6XoTJyjBNtCpIk505CzQFOdP4OagzyBl3r+2Eu4hG\nbQAAIABJREFUi3YW4rF/dEVeJDtt/WAgjG87BPFF52osutRKKZ4f1TBtQ7daKWgPj0TrHwng8bLB\n2Xc+Cyy9Zjlu6DUeb4z/O/wO2vipj+7EpLevx8Pr/wNVkeyqBZ82KGrtvzM4gwaEBzZ3xcV7Apj5\n/llZm6cO+BNlTX5Mw6Of95K+N6ngMdm70D/kx/Rj5+TW+QyxZOxyjOs1Hn8e/3f4HTWwnvrwDkx6\n+3rcteanqGxKcqaBy5omw+CIGlSimjdRiGQOrKLWtgrjDtVOTVOQzLlNhIYn7Ud9pjvK4OFJFQrJ\nHIHjQ7etrMMURCUoMDTcv4aN/KJEjDLEBaQeRaiEwB1jx+p5xIPJGzpIqpfYnI+luUn2w7o5Tx8a\nhMfafI0ZNeeiUKmFVq3jSyQiG4KcZbH/R/sqdmLbYZYFdd5nd2PKsBfktmyeicSi6iThuZNTk8jn\nNSc0cKHSlHGkMvsQRjWNvMgEF3VnBlxXmrBnwbge97ZFy2pWuofwpKEkjdlK79QTAECDPCneob2y\nPlXkKMsAbKaJKPR3Y6adygNVANh7QYXZhzO2pkHRDC48trUX4ALgspgbp/wyogaCZTxpKWc1hKzp\nccSDievbIxaNwczjLAs/jjiX4ggbn3VkCKa3/ArTj50DP3EBKktXkdehFev/WR3i2hNFtWVujodc\nHzGgnWDJ99SOLeQ1+j0BLLt2JaoiJoIxiqBIwUEp9tjkzNMf3YknL3s5/rr5X3S0sm7O25WhGLq3\nYvdEJK0NJklwmBGagJxpMgpOfeLjI39EjbEPHt2HG8+aBaDl6e5Sg8Mf1nTE4ksPYMrGjsiPqJIi\nzhSFpo7ZB4fAXZi9zXjCd0uwI3wUXs2N1y6dUacq5yInRc9mAzF12LM51bY61SBq4xc8ZwCs2/8Y\nyiJ7oCkejOr0FNyN3Pn9ZEHImkkbOjBZk4W+WGjqllkqh9dmwtcLsL3qAHyaGysH3YWAnp/9QWDJ\nmT4tBuG+C7OrSn660BTkTJNRcHQe9i2cjBXNSvTnDBPX3aqcd3MtVzgQe10aqmL7cCjIkse9vWc6\nbmu5iO2XtBo5P182bx0hMkEUEcN84bGuWVW1Rb0mUdZA4eUYNK/LVkuKaeeaWE5jvxWjm1jQCvMW\nfiIq1/IzDRPPUzQ8tLEbFJcKuKxjq+JeezU5r+ez69BluLgmk//Jkg2ydAO/Vl2T25yVxouCh7Cx\n7FsAwK2fPI0/XTJD3k9kOFoW/9cfL12KGR/dgcnDWP6bcp6wT1cV6fsgRkKy9IKhyfnPQ7NQHdsH\nUDf6+h6GjtShtYLBUdU6Ohk3Adv4vxMEE+Fkcsoie3CghsmZdSWPY3TnZ+O2i+dvWHum+GRC+lFq\nhTcrocpaWkNSj8TLBglaxx6o3PAWO1baenS8fAIvdaB52bttRswERUJN87gKVlfIG0/AI52JwR32\nC6Ma7lvTGbpbBdyAv4sfLXqzQaerkJds4XIwdLwy4dgiJUVB5zasz21bxNXFA2x+NpoOYmMuiqoP\nYmMpq4Y+8ZvFeH3o/aCmIWtxucPM3BTVhAM4RXU00fdG5Nm678I5KHAl5r4RPjg1adiW76qeQY2x\nDwpxo3/+o9AVa2AnZNSQLs3QqoD///x5a5ZrMuomIGeajIJTnxAp9TvkD8ANPZMndGqsmNV/J/Z6\na+COKnhgc1f4jManpft4Yb5hgV548fwH6nSsAjfLSVEezi2xX3VsH0qj2wAA22ueRW/XI3XqTyYg\nTYA6PgNLzrT29MPlHU7+c3Oq8fTZPFeNoeLRb3rX6i/TEOEVssbfE4vPyb0ea4HLn2CWyhY1xj6U\nxZis+b56FgYUJE9sWl9oCnLmtD5xhJDRAOaC6fxLKaVPO7ZfBuBvAHbxVf9NKU1a4MXLk2AJ3wZF\ns8LEBaujuazEf/mcTUhWsuG6bs9gw8EncHPfGfDqhfCo8WHibk2V1cRFwj9hShaDLEIsf6DEC1es\nqte84rXIGik814nLI9OxK7xCuJ6X+iMs6ERVZ+HiMU8ECg/dFMxJNBRDiT+Mr/zMXj7/ohJM/6IX\nADtzk12xTSdzo7issHFxXkWEkOdZJRs0UZKBszSuQjbMEEU39TyvrB7urDi+csjdmPjdErww9C74\nPc2YWclyeEnsr/DLIuyaCKz/y0rYKIqksr5GTYooD0WN8P6L6IaYjSXzaF4gCgT0s3Fuy2kIRzgz\npSmIccdtwdbYw8TNukTWNIH8FKca9Slr6gujOj2FdSWP4/IOjyQ1T118FvPv0LL016J6DlE0gsnJ\n8tkSLKuvJXt/RcVvANhfEMI2P8tV8+yAnZhR1B+AFe4dd3ohR1QV/i6M4XAXMuUirw1jaXytWOSS\nlueR8scJd6BAFtnM5342IlJKdbuT7gNYBY3hi/8fVg27HxO2zcPiQVMR4PW77B9+wZLpfouV8XLL\nQTWPUnWWYgAsdsXDvyk6r8jcsbkPu44w+eyMplII63+B2gd98u5h5+Ky6dxuzE+rVYE7rY9oVmgC\ncua0KTiEEBXAAgAjAZQA+JQQ8vckpdHXU0qvP5V982iF+EnvufDmWC6+IUNEFfQpz8e93/VM2D57\n0G7syw/CHVPx0Jbu9ZL8r74R0PPxxgU5FpCrZ1zY6klsOTYDA/z3QVcKEEb9l3hwIteRVQYf+Z8D\nuBdMB6wEMIFS+hXfVgygAoABIEopPS/X/p9qNFRZ41YLE8xSTQlC1pxdWYAHdvVO2P5U7+2S4bFn\nI25ICOj5eP3caWwhm5xBJwH98x/F99Wz0Cfvnjjz1MlCXRichiJrTucTdR6AHZTSYgAghLwBYBwA\np9DJSB3N5wmnJIOjWqUahJYrbNo+lwqvi3uac+bBXmRTTH18W+JUkfMyQaBIfCfOn6SP1MYyEM7c\nyGRSnJ1QbLleTFtxSQCylpbi0qC6GFMgbMmysCYfUcVCEbgKeaI/XlbAjMYwp/I8PKJtw0MH+qGw\ntZ6Qs+Jg8wi+KhQMz37M3DEgyZVYkVmiRANxFN1UXarsm+VXY2dwPHIesBXZzBNJtXxQvGzkRjxs\nqnjzMOGbRSgKHYZPz8PqEY/BL15Cfj9l8bskTI5YoyoEqmnNA9Z/a8i8FLZRGm9jT/zoC7HtXr0V\nbgzMkUkBCzxMwamJGNJPR0QxiNw3plFHBicH23iGH/ldAC6hlJZzAfUSgPP5NgrgMkrpidw7ftpQ\nr7ImV6TyxXFCsMpD2iXmvckEVKufPCiZQDA++e0Yg2GPYnr2+FA8pn2NRw8PQGFAl/6BNUYQRsRg\n2YibJWYjbjOoPQCg3YUDAQCxGsZKC2bGjMZk3i8nFJeG5md3BQC4/JkrAdSeq4Zf021b56Koaj+8\nqhurht4X52BMuGwKBzrxA4iivQQtfUwWFbrZ/3giyP2DDFEWhkhWzvnfTryoK177giVR3F/KctuI\ncjCRmB9DXU/CMGmczw2ABL+bekGOPjgNSdacTgWnA4B9tuX9AIY72lAAFxJCvgS7UXdTSr9NdrD2\nrdgDp8qPkWp9kFQF6/Y/hvLoXuiKBzecNQvNfOzhFw+KmApzlE9XpUkqmaLj0cWxuSMz/3qq0hxC\nEgWTzaFYmKaE4+ytHz6Oooo98Cku9uHOK5AvGhVFz3hb4vZC8bCXXsurwZTDf0MRjsFLNCxpdx38\nigcxWzVxWecpGkM+gBZkJ+7u+TW8VMPcmgtQSF3yBc93ewGUY0C0GZ6KnY/CLlaUk50WTgw9FyYy\nTW4XCo7ClUnpSOxxy3WC4p567J8oihyFr9qD5d1+hWa+ZjYFh9HfijcPRaHD2HDsK3bPtszC61c9\nz+6RVBgTTVXifxCmKpUAGq8Z5pLfNKlG8jbEMkPyqXg2PKoiFWG/rXq4fRqOmTanZD4VyzGjTsnf\ncoxuqPUjTyndbGv/CYCOzlPncuIGgHqVNenwQcnjKI/sgUY8GNlpZk6RUSNyNE0J0HRevQBu3fxH\nbK/YC5/mxuqL/5hxFOIdFW9jR+wEfETHEj+TMwKuAvau2kPKn/R/gTI1hgc6fY05lcORF+Ym36oo\njIghk//1qcjHfT8wNtnbzIM25/UFYGUQFh8pkdE9aphWXHWy66/FgX/ywb+iKHIMXsWFFd1/hYDm\ng1LAnKWJrkuH5aKq/dhw/GsAwIQv5+H18x6SxzBaskzMzqSEdohvQwsvu85ynmEg3Zvv1RT8xxAW\nuh7haS3Kw2ygeozXwjtYGZKyJN8t6iPW/6tZhyiqBiNrTqeRLRMJ/wWATpTSgQDmA3gz15OVRfag\npPozFFduwlt7pud6mLSYtm4KbvrLaPzn325Eeagsq32LKvZgw+HP8fbBzbj1k6ey2ndH9Dg+jOzF\nmvAu3FH5dq3tdykV2KIdwXr9AKZ5t8Rtm1M5HGNCHbG8/BIU0uxCuKe5P8ZPXG/hl/p7KM+y5HlR\n5Cg21ezCuxXfYvLe11O2kw7GLfrihQsfzuocTQa5Jd9K9pHvkKwhx28B/NO2TAGsIYR8Rgj5rzpf\nw6nFKZM15ZE9OFjzOfZVf4j1B05egMI9aydj/F9G4+dv3ojycHayZnvFXmw48gXePrAZt26ekfF+\nO2In8FFsH9ZEM5MzxWoltriOYYP7EB7K/zxh+/Rv++Dywy0xd9uArMxTd4XXYnzkr/h59B8op9nn\nJSqKHMWm4G68V/0DJu/7U8p2Xlsww+JBd2R9nkaP3BP9NRhZczoZnBIAnWzLncBuhASltNI2/xYh\nZBEhpHky6urQmlcBsNF614Hnocfg8+NMCoUH83GgBuhcOAC3DnkGfg8ziYhRuSZG58KRWFWseS1+\nm64o4L6ocaP84rKd+PgAq0Vy99opWDluVXwnhZataKDCRsKTcHl1xlIMa9EXL1w0HUR1QxEhjMLJ\nljMZNBKSdaqUWBS+YwVACBji64zF3X8Bj+oFjUZl6KMVUs7OVXAoD4gAg7W2WNBsHPyKRzI4hYaJ\nFegGtHbeYcelOBgcRVWx90QYn8QOAwAezv8Cr7b9CdvmCMkkum6xUfzafMfzgBpgaMFZWHzOFKh5\nLSznYjd37tPdWH3pTNz6ydNYfMkT8LsLQVV+j8SoVTA5SUY0gj1XFUDnJTWcXz6Fx7jqKklg8EJi\n1GSYcj7mYVNBP1s1raxq9BZzw6Y7tn6MXdviFcuskESofLBlK9Zv2Zpur4wpI0LI5QB+A+Ai2+qL\nKKUHCSGtALxHCPmeUrox02OeZtSbrPn0z4vlfPt+w9Ch37lxJ9IIe2Zbefri0vbJFXCD0pRmKp9L\nxcA2zBSSjsDZWboDH/O6R/eunYIXx64EwB57k7DnQ6aicCT682nWIOHFC6bFH1hRJasaq45POucj\n7B0brLXF3ILRvDkPLtDjGVkA8PL2A2LNMSM8XIaSu/J1RKojKKS6NEsJJ+O2w3tCLYjPAiyYHJ2b\n3HcdL8PHOAhQ4N7YB3hRv9rWfUWauaWJJRaV1wZYisvQvC54cfj90PV8kObt+MkUKBHmcLx6+EO4\n7YvnsHjg7Qi4bOYptxexPJ4brbaigzlAPBteXUxZf9vms+nZrfLw3VHWx9JgNOVxfvh8M7Z/8XHu\nHUnhg9OYZM3pVHA+A9CTENIVwAEAPwVws70BIaQNgCOUUkoIOQ8ASWWXu+w/WQhfquyzv+g/F//v\n+wfxs74z4NMT8xDUBzy6VfNozsj5We276vJZmLDpUbxw/oOMMjYiGe+7oufvMWnHK1jQ+WYEMvhL\nlzYbh9vL/om5BaNRQOsv14EUgHo7PN/i2qz2fbXPBEwsegWL+01AQE9dGTzgKsAblz0DqqeOiGhI\neOPbaThcvRsuxYObes+GVytEt4HD0XmA5Te3YfXCrI6ZrEbM5Reeh8svtI75xMLlzia1fuQBgBBy\nDoAlAEZTSkvFekrpQT49Sgj5KxgN3VgUnHqTNef+ZELaE43sNBPrDzyBS9s/fFIT9znrq2WD1Rf/\nEbdunoEXL5iWVZLMJf7rcEfl25hbMDrOPJUKc2suxDTvFswInsfM4KhbsVEBoTgNJK3xjHZZ1vsv\n7/RzTDn8NyzsdkvaxH0BVz7eOP8RabJq6Fj5zf04Ur0bLtWD3w6ch95DL0DvoRfI7f+37Pmsjpeq\nFlVjkjWEngQNNOOTEzIGlqf1MkrpTELIrQBAKX2REDIJwAQAMQA1AP5AKU1QSQkhdPUXjBGTTsaE\nyBG7sE8mT9QXH+4tEvfpKkniQAy5j1gn7OSqApSHynDv+1MxZ+R8NPcG5DZN+ICICuJGFEQoMAav\nhm1EHW0iIIaoOM4rZxtWpXERQk55CLlga0QRShqLWPPRSNxxqGkmFrDkoGkKw9kxec/rKAodhld1\nYUX33yDgKkBZrAaTdq/CwrN+iWaufMuBWvgQCX8dzRU/j8RkfkTTJTsjjkNVrrypLulzI5kbVSzz\nfVRdtpnw9iTsOFEEj+bF0muWI98dkFXDhblehH7f9/5k7C7bAbfqxTNXLkOhO2AVIBWVxg0qk3gl\nVCEXTtuUzT+0fjy+PcYe2fPbX4s7h7/IirXafHB+PqQTKM2kSit71o0dn9TaTu0xPO6YhBANwA8A\nrgT7yG8BcLPd8Y8Q0hnA+wBusb9nhBAfAJVSWkkIyQPwLoDHKKXvZtLnhoD6kDWEEHrb/9tWr/1y\nMjmj+7bB4La1Mzjl4TLcu3YKZl05H35PwEpzYJdbIebAq5by0g0ZVBqPNe8sWWWynV1+ZNc3AIBo\nJXN6tfu4mDLBHjuXcAROh0hlDcr3sAR5ohBwgIeGdx13qWRsBSYVr0ZR6Ai8RMPyTj+HGarBlIN/\nw9zmY+HnZnTBKLtatAAZ9XsAgBJmfaFfrmV9rTjO1ucHoLVnPjTwMiWUajZzvLj+KDN/Ecdg0yho\ng3BBW9bUcW1T3mGyxqf7sOza5Qh4AlJulIYMuc+0dVOwu2wHvJoPc0cxOQMweRTNwD/vAC8ZUswd\nkQ0KzP7kpygqZbJhSJux+P3gRXH73HZ+13qXM0DDljWnNS6PUvoWgLcc6160zS8EkN3w9jTC7wng\n5WtXnu5unBIUhQ5jY9UOAMCk4tewutetCGg+rO6dfoR7OrDjRBE27Wd0/h3vTcHSNP/R7rId2HLg\nQwDA9A2347mrVtTp3G6eO+OswED8fvAzdTqWRJIIsdpAKY0RQiYDeAfWR/47+0cewCMAmgFYzB2y\nRYhmWwD/w9dpAFY3JuUGaIKyxh3Ai2NXZpq4u1GjKHQEm6p3AgCmlPwFK1r/CMtbjgdQu0PxqcaO\nE0X4kMua29+ZjBVONwUOu5yZtu52LBhdNzkDAC6VsWpdCs/BLf1n1vl4ucgZoGHJmoaXeCBH9GzB\nQ4kdbIt9nXSBAbHmZYQNm4oRlUIsN25n6LeqWOyQPTInri2xe7bzJHoymZYKCj7ykEwEnwpGR3Nb\nxd3EiEKwO9SU84QzCUQwcaItNeW8nNoZHIFUuR3S5XxQVOSVNAeqgGHNeuOlSx6D7ok3+xFFsWy4\njiR81Jbo0Poj4hMf3rrxUWyv2AOf5sXKkc8j4C60mByiSMbGGR4e14ZD+DcNaTsE865eAE0h8r81\n+AwPikMebzuw9RDMGjkf+S5FjsDEuMqkbARWXLYDHs2LZ0cuQysXG4GJv8EEBaXAvKtfweMb78DD\nI+aiwM3ukWEmT/6VKZKFwGe0X+0f+d8B+F2S/XYBGJTTSZsYVELSRs7kChEaPqB1XkZh4ULeuLV4\nJtqu8Jhubn7yM7ZBLT/E2tiYHPEsxVp2BwCUmzpMIcvOHgUAyB/I/G0KDrKgssjXm2QhTnByI1Pm\nF+BpIjwi2pKdrP0Ilo5Csr2w/Pt83PQ/tPAsLB56F3wd+8LwsfBo6mLbKH9vg8SFipDoC2PCXINv\nAAC0CB9l11V1TJq4qaLhto2PoKi8GF7Ni1VXzIY/jyUINAIssCfKiwHb/3XimAr4HLKGwPpGiO+B\nQSm8Gms3oPUQzLg8velo+vqpKC5nsmb2VcvQwtsM3ZsxZeZYDfsDykMx/HbgPKz65gHc0n9mvbhh\n5CpngIYja06riaq+QAih+09Uxa1LJiTsL7/zr3NmHbbvT5KtsylC9jbW/pYSRZz3mJqWkHHSxg5F\nhe2fpG2q/ZMImqTUdAZ0dTqUhSsw4YMHsPiymUz5kCdLfCmSvijOLJkOJWjkX27AxhIWSTi+5zi8\ndu3L8W2dQ1dn/hvbOUvD5Zj89iTMv3ohAp5AnHJhV1oAoCxYijvem4K5V81HAaeNnW+ISYFxf74a\nm7mT53U9b8TSaxgrZL+rqV4tJwPdsXl+VtRxrLh2M4nWdVDGxzyDzEAIoeGyo3hzTwRb97HIJZGj\nRCBT5UcMpH59XmcAwKByFmUU6zIUpSYzuzoPJR55j0pkZfGE1yDN+ZUgc3MQig4AxFqz8OzSWO0f\nM9HCpRL4Qtw96Tv2Dhxbvx4AEDpeXutxqGmi6iBrV9iZOeu2HTGEbdRcVjZ3nv+qunVr3PrJU1g4\n9iUEPH4EtTxEjPis4uKdMihNed/EPW9Fy6EErX5e+Y9fYMOhzwAAP+o+Fqt+9GcAQJiyK07MKJy6\nsntZqAxT3rFkjR3CRBU2TFSEyzBt3e2Ycfnz0jwFMPOU6L/o9y/eHIstBxnbc13PG/HGja9Bi7Dv\nXaXCFKUPitnzWBqMIlUS+mxNVJnIGaBhy5rGn4v5DE4LAu5CvH71wnjlph7h406UQ1sPwqKRdau+\n++AHD+JIzVH86n9/ibJawvf9ngBeuW4l/A7hlNA/Pqoc1HoIZmfp5FlnKErtvzM4gyaCgKsAf7r4\njwh4Tk5wiHDYHtayPxZfVjfTzkMfPIgj1bXLmkJ3AAtGr4hTblLBY2OVs3UorxMykTMNXNakZHAI\nIXdlsH+VnXY6XSCE0FBlmg9XrpR+JvvV0mbS25OwvXQHfLoXy69bkaDVJ5wzgwFgruaNU83V1UWl\nrwiXpxwJAUmjwFPi6tVXYSO3i4/vPR6rk9nFM2C07ExYWagME9+9HYtGPV/rf1rbsT0FgaxGVtF9\n39TaTu/Uv8GOqpxoLLKGEEJ33nEziKrKpJWBXixYxH0tc2z9vwMEn3N2p6wmPoTXnsl4zsVsYGB+\n+2HieYTDfd9LAABVvFK1S9a9s/5WO2Mz6e1JKDpRBK/LFydrqI3dEBBsRkWa6tWZQByneWkRAGDv\n/GczijqK8hD0jpcz5kb1s+SG0FzQWjCTGtqzOnkxbiqqjlkO/cL1Rny/xBuWTjQKmZGnKyisPsjW\nmTGUhStw26bpWHzZTBS0OCslc2NHsv8CAEa9Ngqb9rGAn/G9bsTqcZa/nwjfP1oTS8n0GWY8UwcA\nFJW4/Z3JeOGKZxDw+EEiNQkuBDE/C3P/cF8lTvDQcWG2FGkuRvdpU+9yBmjYsiadD87dAF5Is50A\nuA3AaVdwGjKKbA6uk9+ehFU3rD7NPTo5SBY9UBcEPAGsHFc/90r44AxtOwQLr15QL8cMeAJ47fq6\nOwbmhDrYxhsozsiaekDRiSKpyDdVWXPne5NlROSC0a+g0FV3Vkew0QArflQXSH+htkOw8Or6YVsC\nngBWjFsFd7S6Xo6XMZqAnEmn4KyilD6WbmcextUgoJY5wuztf47zjyJKIjvjdHq1t3Gm/7dXA3f6\nfDj29/IHfkjboZh/9UJQyhgYp++HHImI5WTbANy9ZjJ2lu6A1/GCJxvBOJke+1KqwUmm5JCTQfnu\n6HZpJx64ZADOaT0Ez9vCHwHml3T/+zw8Uvdi3tUvoxnfnuDTRCz7qX3bne9Nxs4TRfDpLOQ74G0W\nv5/tXKKPK659GZPemcLYFlc+yzGUzCnbtgy7k7aZpI1t/wnrp2F7eTF83Ekx4C5M7i+VajlbKE0m\nNkCgUckaahiIVrNSKUe3bmcrt94NABikqhjKk94Jdsd7zW8AAO+XMkX7ytA2GN9+nfr4PPUDeHhz\noH1XAECkE2M7KBJ9bSgh8LqEg+tQLBi90Eo0yZ0y7L4ZlD+D6d73u9dMxq5S9q46lQlL3vD6Uvln\nAQDaDB+Aw5+wa0vH5PhEhW/O3CgFvFJ4++7S4Tmosb88ErX8bYpOFMkEhxevGIgBrYdg3tUvI5/3\nLWpaSRQf/mAKdvFQ7HlXvww/lzXBqIn8PH5eHkpv8OUwtYIK7uCyxqt7sWTs8qRma2dwx6tjl2Li\nu1Ox6Kq5TNaYMXmTVcL8tVr53Dhaw+adTI5LJfDzyuJeyhyIlWru72QamPDBNGwv38WCL66cw9Jx\nANCPsSizi/dsQU3RD+x+hVgouUj0mjWagJxJqaJRSu+pbedM2vy7Y8W1r2B87/H4x0//UWdWAwB2\n8Qym6/a8h/vWTqmHHtYPhJ2YQEFp6DjW730P09bdntBud9kOfHJgEz7Y8x4eeH9q1ufZeaIIH5Vs\nwpri93DHe5ldf8ATwOpxK+vl/ifD9vJibDy4Be/sW48JG09++QjKled0v8aEM7KmfrD8uhX1L2sO\nNCxZI/xlVKLhBJczd69JnppiFw/FXr+3brJmbfF7uHNN5rLmtevqzmCnwvbyXZas2fDgSTmHQCZy\npqHLmlpVNEJIMwC/ANDV1p5SSrN/Yk4i6EGmwcoS7/Y0046CkNBcUAQrk6IaNauzER+6LNsomrWf\nM1xZtgVAFAQ8AUkVi5GBQePn2TQ+8Zw9GsC+TVfYC96/1RA8OGIuSsM89FuEJ1MrGZ1VGTv+2HZm\nxzmCyLQGpDNK7Z7zF+PLw8NRHmbJtPJ1P6ae9ywOVkWs0H1CoPBU9v1aDsb9F86R/VcdDI5KiAz1\ntwqYAi5bBtenrpgnR6fOMH0gMR3+xHcmo6h0J7yaBytHL0bA7WcjLCAxqaIZs7aJ8HwRoWYaFptj\nxpDHyzsMa94HLwycDFJ+CIhFrBGsM7LNNKwUALmggQuVXNFYZE06UMNAjP/vx75ieaLwFSuH0D/A\nwraNSy/J6pjRA8UAAC2vOQAg1ryrdT7bMy7MulGTImLQhAijZBA+OMlKR7hUS9Y8cskZ42F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RvDCheirCaakmXac7waAzuyY7oFA00IDlbtkiz5km334v4Ll8TtJ0LpfbqaUCojvjPOMkCO7TZ2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LZUwm4ZAy32+67hou/+llSN64yuS0rDjhtz/gqYWzGL7xUJ489gEaUnVgM0MoP/guef2M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\nWCdGRyGeRv6cvREMf/PUhneTXwdiuacIsLcC/e0N4eDkKUw86B4F3U9x3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xJfNKK+X6PIHJWd4FWIfuCnY+hsTquP7kxQUT/Wkn2WAfmkLMjTe3zS6J3di8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\nU0Z/3nDxHI+t7TwaKfO0VHqesyYtzpz9RiITbdhFg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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "nx = len(xi)\n", "ny = len(yi)\n", "Zi = np.zeros((ny,nx))\n", "for sigma in [0.05, 0.2,0.5]:\n", " for i in range(nx):\n", " for j in range(ny):\n", " rsq = (xi[i]-x)**2+(yi[j]-y)**2\n", " w=np.exp(-rsq/2./sigma**2)\n", " w=w/np.sum(w)\n", " Zi[j,i]=np.sum(w*z) \n", " plotCompareInterp(xi,yi,Zi,titl='Sigma=%1.2f'%sigma)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Obviously there is some art to determining the value of $\\sigma$ to use if you do this by hand. There are schemes for determining the spatial scale $\\sigma$ emperically from the co-variance of the data. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Local Methods" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The methods above use all the data for the interpolation, weighted appropriately by the data's distance from the grid point $x_i,y_i$. Another approach is to use the data that is nearest the grid point in two dimensions. The most straightforward geometry to consider is a triangle of three data points that encompas the grid point. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Veroni Cells and Delaunay Triangulation" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "A Veroni cell is associated with one of the data points $\\mathbf{x}_n = (x_n,y_n)$, and is the region where any point inside the region is closer to $\\mathbf{x}_n$ than to any other data point. We can denote the area of the Veroni cell as $A_n$, and there is one such area associated with each data point. \n", "\n", "Below we will see that we can construct a **Veroni Diagram** for our data set ${\\mathbf{x_n}}$. A sensible way to derive a value for a grid point $\\mathbf{x_i}$ is to remake the Veroni diagram with the new data point included. The new data point will \"steal\" area from three other Veroni cells. If this area is $a_m=A_m-A_m'$, where $A_m'$ is the new area of the Veroni cell, then a reasonable interpolation is \n", "\n", "$$\\hat{z}_i = \\frac{\\sum_{adjacent} a_m z_m}{\\sum_{adjacent} a_m}$$\n", "\n", "So this is easy, if only we could compute a **Veroni Diagram**. This requires **Delaunay Triangulation**. This is a neat geometric procedure that will give us the Veroni cells. A triangulation is connecting all the data points together so that the resulting connections form triangles. A **Delaunay Triangulation** additionally requires that *none* of the triangles may be connected so that their **circumcenters** lie inside another triangle. \n", "\n", "A triangle **circumcircle** is the unique circle that passes through each vertex of the triangle. The **circumcenter** is the center of that circle. See the plot below!" ] }, { "cell_type": "code", "execution_count": 29, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 29, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from matplotlib.patches import Circle, Wedge, Polygon\n", "\n", "x = np.array([[0., 0.],[-0.6, 1.5],[0., 3.],[3., 1.5]])\n", "\n", "def circumcenter(x,ind):\n", " a=x[ind[0],:]\n", " b=x[ind[1],:]\n", " c=x[ind[2],:]\n", " u=np.zeros(2)\n", " D = 2*(a[0]*(b[1]-c[1])+b[0]*(c[1]-a[1])+c[0]*(a[1]-b[1]))\n", " u[0] = (a[0]**2+a[1]**2)*(b[1]-c[1])\n", " u[0] = u[0]+(b[0]**2+b[1]**2)*(c[1]-a[1])\n", " u[0] = u[0]+(c[0]**2+c[1]**2)*(a[1]-b[1])\n", " u[0]=u[0]/D\n", " u[1] = (a[0]**2+a[1]**2)*(c[0]-b[0])\n", " u[1] = u[1]-(b[0]**2+b[1]**2)*(c[0]-a[0])\n", " u[1] = u[1]-(c[0]**2+c[1]**2)*(a[0]-b[0])\n", " u[1]=u[1]/D\n", " r = np.sqrt((u[0]-a[0])**2 + (u[1]-a[1])**2) \n", " return u,r\n", "\n", "ind = np.array([0,2,3])\n", "u,r = circumcenter(x,ind)\n", "fig,ax=plt.subplots()\n", "ax.plot(u[0],u[1],'gd',label='circumcenter')\n", "cir = Circle((u[0],u[1]),r,edgecolor='g',linestyle='dashed',facecolor=None)\n", "cir.set_facecolor('none')\n", "ax.add_artist(cir)\n", "tri = [0, 1, 2, 0]\n", "ax.plot(x[ind[tri],0],x[ind[tri],1],'g',label='Triangle')\n", "ax.plot(x[ind[tri],0],x[ind[tri],1],'go',label='Data')\n", "ax.set_xlim([-2.,4.]);ax.set_ylim([-1.,4.]); ax.set_xlabel('x [m]');ax.set_ylabel('y [m]')\n", "ax.set_aspect(1.)\n", "ax.legend(fontsize='small',numpoints=1)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The above shows three data points, the triangle they form, and the **circumcircle** and **circumcenter** of that triangle. Note the code for the circumcircle is a bit ungly, but is just relatively simple geometry. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we add a data point and do the most naive triangulation, which is to triangulate to the nearest edge of the existing triangle:" ] }, { "cell_type": "code", "execution_count": 39, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[0, 1, 2, 0]\n" ] }, { "data": { "text/plain": [ "" ] }, "execution_count": 39, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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ccj2MBMKB37zdpiq7z5I/o/XbralTtQ6NajWyuxwVRCIiYOpUaNQIbr/d+TOjet2IF5Ew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\n3rp5qy/5+M3IiqV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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig,axs=plt.subplots()\n", "ax=axs\n", "ind = np.array([0,2,3])\n", "u,r = circumcenter(x,ind)\n", "ax.plot(u[0],u[1],'gd')\n", "cir = Circle((u[0],u[1]),r,edgecolor='g',linestyle='dashed',facecolor=None)\n", "cir.set_facecolor('none')\n", "ax.add_artist(cir)\n", "tri = [0, 1, 2, 0]\n", "print tri\n", "ax.plot(x[ind[tri],0],x[ind[tri],1],'g')\n", "\n", "ind = np.array([0,1,2])\n", "u,r = circumcenter(x,ind)\n", "ax.plot(u[0],u[1],'bd')\n", "cir = Circle((u[0],u[1]),r,edgecolor='b',linestyle='dashed',facecolor=None)\n", "cir.set_facecolor('none')\n", "ax.add_artist(cir)\n", "ax.set_xlim((-2,4.))\n", "ax.set_ylim((-1,4));ax.set_aspect(1)\n", "ax.plot(x[ind[tri],0],x[ind[tri],1],'b')\n", "ax.set_title('Triangulation: 4pts, not Delaunay',fontsize=10)\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The new triangle (blue) has a circumcenter that is inside the green triangle. So this is *not* a valid Delaunay triangulation. We note this, and \"flip\" the triangulation. The \"flip\" operation means that we take the vertices that are shared and make them not shared, and the vertices that are not shared and make them shared:" ] }, { "cell_type": "code", "execution_count": 40, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 40, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig,ax=plt.subplots()\n", "ind = np.array([0,1,3])\n", "u,r = circumcenter(x,ind)\n", "\n", "ax.plot(u[0],u[1],'gd')\n", "cir = Circle((u[0],u[1]),r,edgecolor='g',linestyle='dashed',facecolor=None)\n", "cir.set_facecolor('none')\n", "ax.add_artist(cir)\n", "ax.plot(x[ind[tri],0],x[ind[tri],1],'g')\n", "\n", "ind = np.array([1,2,3])\n", "u,r = circumcenter(x,ind)\n", "ax.plot(u[0],u[1],'bd')\n", "cir = Circle((u[0],u[1]),r,edgecolor='b',linestyle='dashed',facecolor=None)\n", "cir.set_facecolor('none')\n", "ax.add_artist(cir)\n", "ax.set_xlim((-2,4.))\n", "ax.set_ylim((-1,4))\n", "ax.set_aspect(1)\n", "ax.plot(x[ind[tri],0],x[ind[tri],1],'b')\n", "ax.set_title('Flip Triangulation: 4pts, Delaunay',fontsize='10')\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The new \"flipped\" triangulation is \"Delaunay\". The circumcenters are not inside the any other triangles but their own. It is non-trivial to prove, but flipping a non-Dealuney pair *always* yields this result. \n", "\n", "If we add more points we carry on the same way:" ] }, { "cell_type": "code", "execution_count": 49, "metadata": { "collapsed": false, "scrolled": true }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 49, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "xp =np.array([[0.,0.],[1.,0.],[1.,1.],[0.,1.]])\n", "tri=np.array([[0,1,3],[1,3,2]])\n", "fig,axs=plt.subplots(1,3)\n", "ax=axs[0]\n", "for ind in range(0,2):\n", " triind = [0,1,2,0]\n", " ax.plot(xp[tri[ind,triind],0],xp[tri[ind,triind],1])\n", "ax.set_xlim((-0.1,1.1))\n", "ax.set_ylim((-0.1,1.1))\n", "ax.set_aspect(1)\n", "\n", "xnew = [0.6,0.6]\n", "ax.plot(xnew[0],xnew[1],'d')\n", "\n", "ax=axs[1]\n", "xp = np.vstack((xp,xnew))\n", "tri=np.array([[0,1,3],[1,3,4],[1, 4, 2],[3, 4, 2]])\n", "for ind in range(0,4):\n", " triind = [0,1,2,0]\n", " ax.plot(xp[tri[ind,triind],0],xp[tri[ind,triind],1])\n", "ax.set_aspect(1)\n", "ax.plot(xnew[0],xnew[1],'d')\n", "ax.set_xlim((-0.1,1.1))\n", "ax.set_ylim((-0.1,1.1))\n", "\n", "u,r = circumcenter(xp,tri[1])\n", "cir = Circle((u[0],u[1]),r,edgecolor='b',linestyle='dashed',facecolor=None)\n", "cir.set_facecolor('none')\n", "ax.add_artist(cir)\n", "ax.set_title('First insertion')\n", "\n", "tri=np.array([[0,1,4],[0,3,4],[1, 4, 2],[3, 4, 2]])\n", "ax=axs[2]\n", "for ind in range(0,4):\n", " triind = [0,1,2,0]\n", " ax.plot(xp[tri[ind,triind],0],xp[tri[ind,triind],1])\n", "ax.set_aspect(1)\n", "ax.plot(xnew[0],xnew[1],'d')\n", "ax.set_xlim((-0.1,1.1))\n", "ax.set_ylim((-0.1,1.1))\n", "\n", "u,r = circumcenter(xp,tri[1,:])\n", "cir = Circle((u[0],u[1]),r,edgecolor='b',linestyle='dashed',facecolor=None)\n", "cir.set_facecolor('none')\n", "ax.add_artist(cir)\n", "ax.set_title('Flip')" ] }, { "cell_type": "code", "execution_count": 53, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig,axs=plt.subplots(1,3)\n", "tri=np.array([[0,1,4],[0,3,4],[1, 4, 2],[3, 4, 2]])\n", "xnew = [0.2,0.4]\n", "ax=axs[0]\n", "for ind in range(0,4):\n", " triind = [0,1,2,0]\n", " ax.plot(xp[tri[ind,triind],0],xp[tri[ind,triind],1])\n", "ax.set_aspect(1)\n", "ax.plot(xnew[0],xnew[1],'d')\n", "ax.set_xlim((-0.1,1.1))\n", "ax.set_ylim((-0.1,1.1))\n", "ax.plot(xnew[0],xnew[1],'d')\n", "\n", "ax=axs[1]\n", "xp = np.vstack((xp,xnew))\n", "tri=np.array([[0,1,4],[0,5,4],[0,5,3],[3,5,4],[1, 4, 2],[3, 4, 2]])\n", "for ind in range(0,6):\n", " triind = [0,1,2,0]\n", " ax.plot(xp[tri[ind,triind],0],xp[tri[ind,triind],1])\n", "ax.set_aspect(1)\n", "ax.plot(xnew[0],xnew[1],'d')\n", "ax.set_xlim((-0.1,1.1))\n", "ax.set_ylim((-0.1,1.1))\n", "for ind in [1,2,3]:\n", " u,r = circumcenter(xp,tri[ind,:])\n", " cir = Circle((u[0],u[1]),r,edgecolor='b',linestyle='dashed',facecolor=None)\n", " cir.set_facecolor('none')\n", " ax.add_artist(cir)\n", "\n", "ax=axs[2]\n", "xp = np.vstack((xp,xnew))\n", "tri=np.array([[5,1,4],[0,5,1],[0,5,3],[3,5,4],[1, 4, 2],[3, 4, 2]])\n", "for ind in range(0,6):\n", " triind = [0,1,2,0]\n", " ax.plot(xp[tri[ind,triind],0],xp[tri[ind,triind],1])\n", "ax.set_aspect(1)\n", "ax.plot(xnew[0],xnew[1],'d')\n", "ax.set_xlim((-0.1,1.1))\n", "ax.set_ylim((-0.1,1.1))\n", "for ind in [1,2,3]:\n", " u,r = circumcenter(xp,tri[ind,:])\n", " cir = Circle((u[0],u[1]),r,edgecolor='b',linestyle='dashed',facecolor=None)\n", " cir.set_facecolor('none')\n", " ax.add_artist(cir)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The process of going through this algorithmically takes some care, particularly for edge cases. Fortunately it is done for us in many numerical packages. For python we use `matplotlib.delaunay`, the circumcenter of each triange, the edges of each triangle, the vertices, and the triangle's neighbours." ] }, { "cell_type": "code", "execution_count": 57, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/Users/jklymak/anaconda/lib/python2.7/site-packages/matplotlib/cbook.py:137: MatplotlibDeprecationWarning: The matplotlib.delaunay module was deprecated in version 1.4. Use matplotlib.tri.Triangulation instead.\n", " warnings.warn(message, mplDeprecation, stacklevel=1)\n" ] }, { "data": { "image/png": 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HJXulp8PNzU1SRTUaDfX19Vy8eBGNRiNJeVtbWwpPnGDHH/6AMDkJBvyDK1eu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\nJQ/C1Pp6vD75hNzcXGpra/Hz8+OFF16wWUaffPCAlWfOcP36d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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "from scipy.interpolate import griddata\n", "import matplotlib.pyplot as plt\n", "import numpy.ma as ma\n", "from numpy.random import uniform, seed\n", "from scipy import interpolate\n", "from scipy import ndimage\n", "\n", "#from jmkfigure import *\n", "\n", "# make up some randomly distributed data\n", "seed(1234)\n", "npts = 200\n", "Nx = 40\n", "Ny=Nx\n", "#define the data points\n", "x = uniform(-2,2,npts)\n", "y = uniform(-2,2,npts)\n", "# define grid we will interpolate to. \n", "xi = np.linspace(-2.1,2.1,Nx)\n", "yi = np.linspace(-2.1,2.1,Ny)\n", "\n", "zactual=np.random.randn(Nx,Ny)\n", "nn=np.floor(Nx/5)\n", "zactual = ndimage.convolve(zactual,np.ones((nn,nn))/(nn*nn*1.0))\n", "zactual=zactual-zactual.mean()\n", "zactual=zactual/zactual.std()/4.\n", "f=interpolate.interp2d(xi,yi,zactual)\n", "print f\n", "z=0.*x\n", "for ind in range(npts):\n", " z[ind] = f(x[ind],y[ind])\n", "\n", "#djmkfigure(2,0.4) \n", "\n", "import matplotlib.delaunay as triang\n", "\n", "cens,edg,tri,neig = triang.delaunay(x,y)\n", "\n", "fig,ax=plt.subplots(1,1)\n", "\n", "for t in tri:\n", " # t[0], t[1], t[2] are the points indexes of the triangle\n", " t_i = [t[0], t[1], t[2], t[0]]\n", " ax.plot(x[t_i],y[t_i],'0.6',lw=0.6,zorder=1)\n", "\n", "ax.plot(x,y,'o',c='r',markersize=3,mec='r',zorder=10)\n", "ax.set_xlim((-2,2.1))\n", "ax.set_ylim((-2,2.1))\n", "ax.set_aspect(1)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "*How* does this help us get the **Voronoi cells**? If two triangles share an edge, then the line connecting their *circumcenters* is an edge of a **Voronoi cell**. To find the Voronoi cell for a given data point, you find the triangles that have that point as a vertex, and then you find the cell edges, connect them \"properly\" and then you will have the cell you are interested in." ] }, { "cell_type": "code", "execution_count": 33, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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ERDA/P19jOQUFBbSzs+Orr77KkydPasyTlJREOzs7erYwOarwePJkttSbdVQ3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\n9WhrawPDMNDR0cGgQYPw0ksv4b3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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "N = shape(tri)[0]\n", "\n", "for ind in range(N): \n", " for j in range(3):\n", " inds= [ind,neig[ind,j]]\n", " if (cens[inds[1],1]<2.):\n", " ax.plot(cens[inds,0],cens[inds,1],'k',lw=0.6)\n", "display(fig)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### You aren't going to make us code this are you?" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This is relatively straightforward, but incredibly fussy to program, so of course python provides ways to do all this work. The `matplotlib.mlab.griddata` command will interpolate in one of two ways using Delaunay triangulation: Natural neighbour interpolation, or linear interpolation. \n", "\n", "**NOTE** `matplotlib.mlab.griddata` requires https://github.com/matplotlib/natgrid to be installed. If that is a problem, then `scipy.interpolate.griddata` works similarly...\n", "\n", "Natural neighbour interpolation performs the algorithm described above: \n", " \n", " 1. Insert the grid point into the triangulation and re-triangulate.\n", " 2. Determine how much area was required from the three surrounding data points' **Voronoi cells**\n", " 3. Perform a weighted average of the three data points. \n", " \n", "This weights the data in a systematic way based on the closeness of the gridpoint to the data nearby." ] }, { "cell_type": "code", "execution_count": 55, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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sfCSnTniEbKKh5wPWEr2RM0Nd1gwbBge0Bn3EFleQcutIek5AsSVjs9xM0jXb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\nh85CWAagw2gLQVmAYlgqIBc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buFLqWeDZ2La7YusPAQ/Fts0Ddu/XRYcprAN9PAWDfjfN\n+xovn2DSHOAmgwCGR8adwSmzH+C2rb5Lo5cNUlKUIOZDFn1/K5UIEZueIkYurW3IbFPnAlbkfg/A\nZpkD2SI7iQM2vZSUW0et8ZdLeeU+OHGn42iSRFvWoegrJvpX8PuV17Kddw6e1JYxCPZ4HUBRGp4f\nTUmRNb+NZXDCUO6+TUaiJSoyiVDOXDdpRonDMRDWG4yUaLH/CdbfL0gY2tkeMjdBuLdld3Kh3DHy\nJutoU9243AiubNqdzvaWgKXxi/a/LXzm8W39Tdi3Fj44Q0bWDPUw8UFDg6S4r3YKDU4FgTPE4Jrw\n7lpnJ/ZI3YcnA5eo0PGzjF52Co4/9HyPAK47+F4O3fo4Hjj65+s1gde05r2Y3L4Z9yzdh3o/sd6u\nC9ohtadPFRsGGr0aHv/qaUPSty8Oz8jChsRO7DPmUvYfey0pt27Azp9w6vhq6rIBlV8DhRsn3cfk\nbY7ngaN/HpTdWF+YWTyQo/yv8EDT/tTHInPXJXojZ4a6rBk2DE4QvWN9cJJOwNIES+OT4yacYHZq\nZ7dBgkAbneCGP15ZrH+0DITVyuIVX7uBnvVXtt1HSx5Ei/ZFl0k3TKL3p9XXU/BbSDCScbWX4xZq\nTTckeCZWg1S+WfdVOLsPbM+WiTEMhlOewCzov+MGWqK9RqDJRHxyXK80skoCv50w+qrSvdn1uOYV\nHBNRSOpTjdx0yINkYv3oFuIEv1Pw+zmxJeHvHn8PHMehwUkzo2Vf8tIBLly11ccsSLWSzAlXz92F\ndNHByccizJIDIwyGQxG8DR1xBifKKAQFcIMClHqpIiVfnLQp8miT+tnEb44b+OeUyZYBRHyUBGNM\nwnFnx1kwNp0RJKWRrFfPiJokKTcV+CLZ55GMJPiMRzYFDHTBL2mvj9fnWZX2gghRi0rnsecqxHwJ\nXdchZSq8exFWB0IfPs91gvIxdlsYIeWEcjdSWmZUZgS3TX4o2B6tvt4jLFscMDl+WHYhBnHdIAmt\njewd44/gPqbQ3qGjqy7KvMM8dw1p3+WG5eNLFCxxBde1/02l8quvGA5yZsO/g79xtBY+o7nwJ/Ks\nZE77HYPdnQ0OP3p/Gge/fDbHvH81zfnWng/oAgtSrbxf08SbI1ZyzdZ/GcAelqOfybeqqGKt0FZY\nSk41s7T9HX67+IrB7s4GhR+9eRUH/+Z0prx8Hs35tUsWOz/Zyvu1zbxev4LLx1asHzsgWItEf0MG\nw4bByYww5RSCKConzIMTyX9j1xM1pYn+ElmT4M+u16TxMiZXTsqUY0jpNpJMh4U4rQ9KjMFRPWhd\n8SRSVpOwmkXKdQJv/nwFe7/No5P2MpCHxsRX2XP0RXTmTHSX55DvLM0/U0horaFYcIPCcdYXJIii\nCtierqNDJMIuBYyNZ0tkhOtewuVT/xY6WIRLil2yl+JJHV7CDZJ21QUJ/hIl65mkG2h59jmkAq3L\nCTWvWEHO7hBNima/z25dzCtfaiffUz6+m8d2PFm3SWVwjcblZSr74kCoJWWNs+gu7Q1MXbEb6XoJ\n3r9CujQPTjHv40d9CLoKoOwCNoFlFYOHtInaKaajZQn0+An86Cj1nfMNb+Ik0vhJLUvchlFAVLsv\nhuywlTFhVs1wvTdMsVnG8/GIhNtCXxJTdNKVSNRiaYmVulQNK3KwSXZXvrfrtWS8TMjE2LHpSI8p\n/nVBTv28rBywDFhjJhEkFizzb4r469joS5vwtFj0+Wv7jbQXF1GXq+HATa6lNl0PhL441m8u7YWy\nNZQtllGSEuYGooV8Q1nTrVtLLDGjOC6zV3/GK198CMDJH87g8d1NVuXA9y8drHfl+WIjpmo6Qp+c\na9r2JFWf7Hai0d+yMMNBzmz4d2DQsJUubRCao1yd9A/wTCZM12Y2TifxTFZjO6Hx4pmMa9K4GW0X\nd2q0nVnSphZVpiaoSyWmFpUywigI23TKhVAgVBxwfUuX6sFrM2naCUbRd4PvYRXuUOBYofOt7W/m\n+c+mst/GF5Ny6wNB0Z4r0BZ8txObMEy7WDDXiYWJRyc28XozUSe90NxUGiZuzVKO6+hJ1qolrCno\nCcSC4nT2HXMNmaQXCMa6VCnFbQVefToRyTJqa1KF60HmUeu3GZvolMjY2B+EcrzgzyOb0L/xxBE7\ncNee5+Hk7b9TMUimlrAO1fb9SSTIm/fFvj+3tU7iwuIbXJWbSP1GSYoducBhvdCu/7ys07GfKwYT\nTAD6qIQFposqBg3x8WrHY1GpyBgOHY8hdJZ33STKvHcqY6MLzB+d8sOABYPAtBVRnrpUoJQfOrwa\nhOaUMGGd7VPUkRa0jAnrwenlyFr9rp88cRZPfnQR/7TrtYzMjDDtQ7OPXa+UdC/6PHQmYVMXz2Yn\nt/Wjav1AXsVr6UVTSwTbasN9f1m4lFX5D1nVCu+tuIZ9ttGMdoORMdYRWmdJL5/Y2P57MRNdImZy\nS5qn8k4AACAASURBVDhSHoJvf7Po5NP+Xq4XOClPHLUzd+13CQ7m/8IqyHaZSAapKtwgiWzpb31P\nyzGc0/4iN9QcRL35b1OBHPdLgiEA/Fzfs6XD8JAzQ5tfqqJHpL16jt1mGim3frC7UhGOqbLdkNiJ\niaOGXt2px/a/khO3nMRz+9+wVlXkG0hxe/6b68UJcEOnjavYMJFN1POvu80im1i7yt7rCtYJeuPs\nrkzeaurgdiaGRw+6gRO3OoTnDr2dxuTaOWbbxH8NsvaJELtD1UQ1hDByx42BUkfQoGJ4WU2qJG4i\nEXyPLgNmJpkOQjZtSKdjGBzJ1CApo4F5hsEx1X0DJ1VxSou/ENGkUGXagTKH1do+iwRmmJRn66aE\nTEZnxiTfKpY6OUaXnXENqBiuW7rX7ivETFLdJTCLamhxRz43yjK5DltvdBMvL7mSQ7a4LEiIFTU/\nBWYoa5rzQpYm+t3et11Gq/9CxDnb9KvE2TiSxl43coPfqyE7micPvjmoLu5EzAN+vJp8jQ7t9Oo7\nSBotqxipAQMENWKKHbmyGlRBpXHf50LvDT51VpNRHjxT6Sl3DWeIRy78LSAVJI8rNeNEHWDD1A/G\nIdaypF4KZUxUvn03fZuColBSNbwElh2uwN5Y1kfhBsdZBsCysoHJimh9pVgZAlcCs40db5vUahkX\nMMmuU5Z8M25qj7a3CJmtMLGpLQfRWQyZHMvu2H22rU0TkfdVIMuiKTS22Wgm//nXi/nHcdeSTdQz\n0pi96635OxnKD/v7eU5MjjiRuloxVjhak6os9DwqLiNyRh+QpDE7micOma6bFvJBaR/LJKuEZXQS\nQRJZaxWw50kZOZQq5AMn5UC2RGSMlUF5U0X87NYXmOf0LZkoDA85M2wmOFUMTaTceqZsffNgd2PI\n4VNnNe94y/t1rJ24V1FFFSEyiXq+u/OtZIeB78hAYp6zirfdvsua4SBnNvw7MBi1y9ZAJDTOdXBi\nM2BJhI7BQShmzFlYrNbuJUIGxzoXJ0K2xrfHGSbgpFcv5ZPmeWSTWR4+/DYaU7Vd+uB4jhB3+7K6\njtUSPEcCDcoyMR0FW03bD7ZZbcfuKxTD7VZzjGtCpVpm5RIJvWVw4iGh0aX1GSrT8hwJbPZWW7Qa\nVCpYDx0BK2lbccc/z5WSNpV9cIwvg5cs26dcmxTSMHmpLJLXZr9oGnXQGpjTadgcmyCxUJqwi0Iu\nSOJltXPftin61C+tg47ljE9swu9MSZDeYqjnnvhbgH03C0Ub5mycjv3QByccb65ZN9tdh2RSs8GW\nSQxKh/iFoChjmMSvdCye/PJFfLJqPlkvzcOT76QxFTEZ+cWwAKcyrKotvmk3EzpAu6YegXEFxHNC\nv5TRJjVPPGw6yi67Ecdlva+MuA5gb8OPFBsuVmBrguK6qjRhYtSHJ3DkVuXyy8ogKz9rY8EKOs2G\nbpuIszURdiYeJh9dt7cY3KsKNwR+mF7MXB2RQ8qWbwiYHBPIkkwjVs7ELAhEQ8uDgAezzcqhXEcg\np6wvT938Wsj1fYIzHOTMsJngDDY+aZ7Hq0vfBuCU35zP41MeGPBr3PDmWSxcPZekm+G8fW6nNjk0\nbeHDGSf/cRafrFlMRjwe3vlUGulfkr/7Rp/AGSue4dZRU9iKG/t07FC3e1exblEia359Ho8fefeA\nnv+q187gs1VzSXppph5w93pPbFeFxkkfzmR262IykuDhr51Jo9u/pLP3jjiWM1c9y8/pW/qK4SBn\nhs0EJ7Pz+NINjhOmLA+WkeRulrGxs1S3NCRTOV6QWl1Ft9mltW+bbVmjkU3YaHduP2Q6yvHKIh0C\nlsYR7Nw+YGwi9mnQ2ovVSqwPyrLWT/lwua55f++HP2HaIQ9FtJxSTag0moOSNnpf6eOqxNh0F0Vl\nEY+YCMNPo4kKS493IxpgXDsMojqcUq0qei1XpKJdPNom2isVY3CE8t9UXGv3Dn0hMEUOpcakXC8W\nmZ1byavNHwFw2sKneWq/y/VxNo2+1aSKxTC1vk2e6Bf1BKllCVk3xSP7/rRfVaOHg+DZ0GFTFuQj\nrABAS6EQRk3FmIicWU84CtwwIg+0Xx4YH5yIPw4QFtk0jE42qamVCRvtxu0HX2/KA4SMQHC86atj\n3nE7RpSEvj+JCq/S4jVz+d0yXXfp1rfPZcYRD+nzRCKHnNi4iya+6w+DEyRDVCG7FG0fP0+8lLEq\nF1+hbI1FWiYcKZcXEbkV+PN1I1PKZGE0csr4NQV+mfE2KhGyMa4ty6DlhriJgM2Z3bmcV1b+CYBT\n5z7MUwdeV36TMX8tletAdXZw0ge38smahWS9FLcX9uXeminVCc76hojcDxwFLFdKjeuizQxgMtAG\nfF8p9fuKJ9uq/PCuQimVSJn5qKxtNMy7QpZi2/6UF89i9sq5JFyPKdseyb2T76Qh3aj3l5moQiEQ\nCBuzzzdUsQomLFKW67jeODbvvtF4Zhw2i4Z0GMZXSRio2KjvLhtCJQHRG3SXODj+9KOOv2FujsrH\niAhOXIZEjo1nEg33VehQYIaKmCyVNU1aYVpaP0ZBxXo/GZNbY8JGu3HbYbdSjEdEdGFWsPs++f0q\nXm36MwAnz3uMJw6dWd6uB7hVH4M+YUDljEGQo8qYn6wZtaUzVAxCU1XpBMfBJ+9XdpJ3HQ/XK5/0\nnPL86cxeOZtMIsOsg2/kwlemcvs3r6MxUacn0nbg+IVgLARWE7P0ghQWUmJS0vdvri9CbTKUM7ce\nNpMRRs5UGn/hZKB0ogAE4eoqNiZVNxOc3lRn728VNzc6CbPbKpi047KkOxkXD8lX4gQaXSBL7P+A\nG5En1iRpzJGBguUXg+MyKSNrxozj9kk3U0wbxr6bNAHiF8Av8sm7KwM5c6azintSk7u+iS4wHOTM\nYE/RHgCO6GqniBwJbKeU2h74d2DIpeqdvXIury5+nd989jJJN0ljet3RuXdOfpBjtj+Bp0/4RRCR\nVMX6xcOH38a3tp3CL495rNT3oZfImuKgE8aM444Dru5XH/obuikiR4jIX0Rktoj8pML+g0RklYj8\n3nwu7u2xQxwbvpxpmsOri9/gV/N/zYWvXc7jR9zRr/evN7h98gMcvf3xVTkzyHhk0i18a5vJPDvl\nERpTfUsDYuXMxNHjuCl5cL+uvzZh4kNF1gzqFE0p9aqIfKWbJsdgqo0qpd4WkUYRGauUWhZv2Fq7\nScl6r2oS0X0tke7OYGf3aWOaGr/xBGYecQe+W+6TYWf5pRSn+RIkiCq9aDzZF0Bttoanj7nfrFWq\n103vqZheVD0HOOWFM5ndNJdMIsPDk++hMd2DUO0mw+opL5zB7JXmXEfd2/NksEsGzoE4vxW0jVJY\ntr19qMasiNvlY4qb5UquC2TSI3jghKcB6Cw5rsvDSnDXsU9w5q9OY/qhM0mkG+lPcYj+UMci4gKz\ngEOAxcC7IvILpdTHsaYvK6WO6eexQxIDKWcsrAOrZWcSEYfMaDgzQM4k1bQh2UqBZ/fFnFwTjgpY\nhTBc2SNtTJkTNh7PbYfODB1YAzOWHc9hpfGAQVBeybrneEG9IsvARJ3zR2ZG8dQJjyOBqcw4ywc0\nsR+az+Ispx/KlbKEhZGEm17MbHzyr8/pvWzoQcad8sIZRmZlefio+2jIjLQHdtm3aL/DRt2w/F3J\npkgtO2VzEsf+E0SpsucXmBWVj2/OXV87hseOexxEB6WoSJoAmxU7dDsIz+8I3HPcE5zx/GnMOHwW\n3HopeToq9rc79NdENZRkzWAzOD1hM2BhZH0RsPkg9aUiHjz6IU7Y8QT+9++eWafszWBhdtPcQHM8\n5cWz1u5chu361fwXOeWFM/t9nlOfP43DnjiCY//zeJo7mvt+/HOncvjjh3Hcfxzbr+PXBo3pRh44\n+pG10oz7WeF3L2COUmq+UioPPAkcW+n0a3HshoohL2fun/IgJ+xwPM98+xc9KxkbIAZKNoCRWYte\n51fzXuCUX52xVuc65fnTOfTJyRzzX9/qs6w49blTOWwQ5czDxz66Vv9Ja1FNfMjImg3ByBZ/CBWn\n7wvXlKajdiKHVbI32/1l++zxIiV26fjxdlvKq+fuox7BFZ1IL2qbDmy4Qc+NZuUXAi2kTBOKaGSB\nluEXS49Xfll7iWtQUS0nptGVXK+rdYMao2lOHPlV7tn9VBLLPyltENdkKvgp2W3WnXbiqJ25e89z\n8Zo+K3MALqnlFUuYFdSP+vIvvLrkLQBOe+4UHj/qvoh2Y3yZHC88Vyyk9JMVn/D6otcAOPm5U7l/\nyiNhKGqkEnSlbfY8oe8UpfsoPz6ucMYdJPsKN9mvyK1Kf+J7x9ooYF8R+RCtPZ2rlPqol8du6OiV\nnLEIyhkUSlMZuI4E2rRN3dBiEzyabJ663pNJfeBadkdfvlCSAkHv0ykjGnjo2MdMx8pZGuuZIsoP\nogqs47sEvh9mjERCyYPkffYhFPJgHV6NwzwRdkGvF8qvH5U7PbHDkSSoNj1D1vRn4uhduWvvC3BX\nLSk/rpesc9bo7RPGjOPOfS/BXWNCpEschLpgZ5xSlmb2ik94dcmbgFasHp/ygD5PPPDE3o/qQs48\nq+UMWB8mr+Ry0e7YFy8Mizfr5q+hqPwgcKQQYwuLSgXyxiZDdUwS0r6in3IGhpCsGeoTnMXAFpH1\nzc22Mtx+07XB9z333Z+99z1g3fbsbwSP7X85P3r7Ou7a+4K1TjH+6AHXctIbV3Lnvpf02aYcRdbU\ndZmw0e7cPmlan4+f1zwPgLpkPZf/f/a+O0yKKl3/PZU6TOrBvK4YQQyIgGtYA2Yxr2y+u3fXG35X\nosLqioIgJlCUICCIooCAunfD3agiGAgmdM2rKzPAIEnyxM5V5/fHCXWqunqmp2eAmVm+5+mnqiv1\nqeqqt77v/dKFDxY9jmLl/bdX4f23Vxe9f5HUcSFa1YcAjqGUxgkhVwP4I4CexfxYJ5OCcWbChAkA\ngO0NSZx13gXo2e+8fT64fwVZfMmjGLL6Xsy54L42YQMALL50CoasGo/ZAya2+VgSa47oi9m8EnGh\nUnOAcebdt1bhvbdWgbz1cVH7tyGLqsNgTUdXcP4MYDiAFwkh5wKozecXv/DnwwFAdrL9x87GnAh/\n0R1XJ+68KX3PYhvhC9dkAzZ/yW6WZujzk8t1bEqJ24VWMj8KI0O4lSTUcmIzBkoyOnZaFvwS62Tk\nfTbjpiPzYnKOr+AcHDun0JybruwEL/OLYyMC4LlDbgSqv0RK8S8LkRSlLyWfaFrOsjLTxJIe/w3s\n3gHH2Mu2E+n6prfgomaYbmE+kWHArb3FFz+KwavGY86AiajQQ0AmCaKLbfnxlEwDYVEJa+fbZcdg\na+MWNKTrMW7FWDx5zSK5zlYyX/yl9kUshVqMzJ8pI5oG2tSd9/vJoyf1xYUnnCmv4ZNTH8m5rs1J\nEC286p81WP3Pjc3t5n+JHwNfH3NKaYMy/zIhZDYhpBvfrtl9O7kUjDNCwfnim3oAQBNvjSKLyBma\nLPAXz/ACj/z/F4xO2HAbWoaVwpYAYOsUpsyo9JJKAkc0XYcu4jr8MTB2ALsjMEVlVMU9JFgegT/Z\nZC5z448XyWZc3MikPceh2bQ7rxamU4Rouluyg2NDTNPxQu+RQN1eAHu9OwQcx39stSRIZaQEL549\nBiSTAjI7c7JgPeywrxQIuzZuOZBFl07FkJVjMefiSagwI4Cd5mVC4L02fB+bum/3o8uOwRaBMyvH\nYvbA59g+hMjGp3L8Iqs2gDnOyTSjFFl++v57rSFly/nzL7gI519wETL3rgMAPP72pznXsTnJV+iv\nM2HNgU4TfwHAAACHEkI2AbgXnC2llM6llL5ECLmGEFINoAnAfxy40R6UjiKxUDleuHIWgMJMBb+U\nhRgT1efwfnjkstanaR9oCbKsLjrtBFx02gny+8N/Xunf5AMAPXiw7VYAPwbwU89xCTkCLJWaEkLO\nBkAopXsIIS3u25HlIM4clGIlFirHC1fNBtB6rFFxZnIXwRmgc2HNgc6ianHglNLhhRzr482smZil\n+MJFNsJf14/HrvgGhIwofn7aNFREYtJiytcqIGTobqsAX1uBsOk2mxN+TsNnbREtt46NahFJK0mx\nnAAwqwMAsdNuyW3eFsBJspwbmkp6SnN7phnRMiAd2IiNDcOWy6jPX+8ONb+/W1NufKHlyyanvHaC\npus5zU7FlBiWZGxkOww+VVtmyOamvH2GxrehugXwthmgfD+ZjaZYadyqGr50GKr3VCFsRPD0NQvw\nxMD5uH35CEy6dAbCRjlStiNrlMjWFxlHWtyiEaD8nrXztsrIKE1M075mp3+sGofdyRoYWhjXHvsI\nwkZx9LlWRH0KSmmWEDIcwFIAOoBnKKVfEkJu4evnAvgBgCGEkCxYPZifNLdvUYM/ANKeOCNEPP9h\n04sfL34xBtsb18PUIxjcdwaiZgVShrdWTsrWZOxOyteOJGrqsvGuEOKrx0IIlXVTNH/GVEDsnj9j\niLAN2byIt+G4Q9MJ2ZoEnA12JNvrsjR+dtjTokS0JPGxOx5Ri64CLtsbJD62RrYnUM+JH4dYYRAf\nbkBpoMumVjBjzGaUVgvedjwSYwxLLqO+DKnhS4ehajerV/TIJdNx3+p7MOmSGSg1K5CUhR/d66EF\nxNm6zI33u9uY1JZ4E89447zqklnsjafxh7X3wNC3ImJE8HDGQjn1FR0sQIrBGaBjYU1Hd1EVLJ9v\nYQqOUGoshQb+urYa25MfAgCe+Xg0rj9+CqK+btb+adTUPd2r1WnG0eS8Q4Xyw8YhXv06IbK/i1t5\nS6GM8yg2SDElxkk0uQoN7ylCk+46odBk43yaYPuLrtbZZDpHsbGlwpNRlB2vgiMVHju/vUJ04vb8\n4kAllB5XqTFloSi/omOELdm93YgwRcWI+jp3R0pAle7tgK+bu29McrS6+CPcW7t6T5UM9hu5bASe\nGLgQM65aCABIcrfTuDdHYGPdOpg6K0+vkzJJ9QZNg7q3A0BcfM/YioLDln1dV43daVY/7rdfjUXf\nWHF+edLcy6AZoZS+DOBl37K5yvwTAJ4odN9/ZRGGjc0NG4EHO+MbUF27BgDw7Cd34Re9ZyIiA0HZ\nM5K1NVkBWRQKtD2R6PyFLBMf2H2kEdfFbot1sngfV2Z0JQEB3uQEmZCQzUjcEZhic4xxmhpyXUI+\nJSbQRc7xyE6mJRYJ/MkGBLlqPvxQewjSPMaVaoz5DTCD44lZEoFRwjEkzAoWEpMbTYZrVIn+gkKJ\n0WTfwbBrdDm896Dpc/VRmpscwaV6TxXe3sKw5r7V92DuNYuQzDqe3oBjXmdYEzYimHTJPJQp9YyC\nOq2L72pPwoQPk+pTXMGJZ5BI29jWsB6bmz4AADx8ySD8/ie/B54urHSKkGJxBug4WNNlFJzmxNDY\nDXto+FRceNS4AzwarwxefS+q6jYiqllYfNFExAIy94eufRZViW8QIToWnvCfaFvYXNcScf0iZgkW\nXTYNFVYkZ5uIySuzHtEPUy4Ppoo31q3D379h5ekfeXsUxpw/r93HKu7DCrMXTi9vQ/2qNgDPQdm3\nYuns/ju6tDd+2Ku4Qo77QgavHIequg2IGGEsuXAiKrXgDJmhX81DVXwbIrqF53oNQcxofSuRriqD\nV41HVV0NImYJnrtmbmChxaiCNfncUirWPLB6JCZfNr/dx2ryvlX9juyPmVcF6hEtSxfAmS6j4Oze\nwSwQTbiodA06DxI+wRyLtPkoTi8ZjW/2aqizmiSDUxpmD3ppiF2KMk7FlIYNpPgyqUmLAFLHvWwi\nOJkzhTL4mLVJCNaYiZ2VwWlVtTVYuf3vAIDBb92HF/reCQBw4vXMmgKwtnEzVjexQLGhVfMxP/Y9\nZJoYjZxp4gyOmHJryU6m5Hw2wawsmw8ym8hKa0gsc3zMTcsMDg/OFoHbptcSMyKGXGZE2DUWVpYe\nDsl5YW2ZcspeEEY6CS0rWC4vHa4B0Ljlp16/oSvG4PmrmZFAlTt73rULMPLV4Zh86QyUhyqQyFLp\nWhLBxQIQelSeiWH9H0NdMpND/zZyK6kxmUVD0r+MjTGuMDpZ0eGdW1nH0buR1abgeDoK9bs0oKgy\nf/Cmsh6UAyKGz0UtGJxh/Wdh1vt34Hs9HgBoCRJpWwaJpnnn8Yyhu0HpMhXYfZm4/dXYMvFvi209\nHa+Fa0a8jKgBSjhTowTOVtXVYOU3zKIf/Nb9ePG88WzzlNfFXdW0FasaWCmIoV8+hcXH/4cSUOyy\nNZIV5hgj8CibTEssysS9GCUwh+iaZHdV5sYvLpvsxSgnk5X4JHBI4IdVVgKzPOpZJvp9CazRQyHJ\nCgt3FsT3bAaEu8BIiI+Xj6eqdoOLNcvvwPMD57jtF7g8fe0CjFg6DFMum4mIWQHboUobCjYN8SrD\nvQ45EyPPnoKGlO1JVhDvGb/7O6W4yJsyXua4keORYI2vO24ytiQewezLpyHm74lVqHQBnOkyCk5z\nYmpl6F16P4wO+IdFDfbQndWtF+aefSeQCdhGYzdov9DRmHnEjd4Suv/iIq/foadjzoX3B24TC8ew\n4IbFEiCCZMJFT+GRt0dhWP/HUGpVSKWmPcUgpehl3QvbduAU3VHHpdwPSseTErMCPz3l8QM9jByJ\nyNL9p2HueWPyb8dfhv2i3THrmB/vl7F1FnGxpjdmXxLQ+BIMa+Zdy+rdpPMYiQ8NmIf7V9+K0d+d\nhqixb4o2ho1yPH/dsy1v2Ix0BZzpMgpOUz0PzhVlzk0NOmdzDG5diWnK0pDg7Iy0uDlzk85afOoE\nNH7jsSTEVtLJRflzHpPDi3M5IEqzSx4kqKZ08vklFzyAW96ZiCf7DEcFTDhpxtrQRJP0jz97+E0Y\nQTVMK7kSJXGKVH2jtIoyIgbHx+ikmzLIJoQPnE8TIhbHhs3P2057Y3CcAhkcjZ+/8KHrFptO7VeD\nTSUJRBwDD1SfijLbhMGvrRFh/5FVkpTWle0PgE67wc+CRJdNGPhvUcMC5VaZuH5zBjyImFXqaZop\nzkA2MOXfHeqmgAulx9TKcM8F81CXzCKesRHPOG7gHmfA6uJs2pDMoi6RlvOAa0mlOKOTTTuSuRFT\nWzI6DmihvR2CpAtQx51d/DE4Itg4ZGhuWm+eaTrrIMMZ5IztNbo0QqATdr8IjNFFCrkIOtWIe0x/\nLI5ju+m9jssgL75sKoasHIM5509AjJig6UTgeT138mAM/WoeZh3zY1TYGqidZKnfcNkaO5lGNsme\nZT+DnIknkK6PAwBSHJMTe0WcIHs2jIgBk2OCzq+DYGIAF3skRvlYZift4JFTqrApmkCEGHig6lQc\nwuNtrPoEzFoe1yfYYM4WW5zZYSwPe5Z1zk6JQGpi27lNgnmcjqjjNWfAQyjP0weMUipxRk3rBly2\nOGyWSRe4wBi1zISYV2Nu2NRlbQTepH3sDgDEojyuKFnvDqy8G1otXQBnuoyC01klZpXhNwMmgcbr\n8m+jR7DoWz9BpiHerr895cwN2BRNIGRruPvt41CaafvtsKkkgU8OYUraJKzFxK9Oa/MxmxNx/ZxQ\n/liB214djnV7qxDSI5h99XxYeueOYspXn+KgHJR8EguV44VLeVHMPMoNAMSMKHNLAaB26/sX5ZOH\ne6zFxnATwraO+786Fd3a+OrZFE3g427sBT7phK/w2Na+7THMZiVmleHFiyeDWpFA/nXYK8Pw1R4X\nZ8L7iJ3ZX9IVcKbLKDjJOLMudO7LzWY0ydgIy9kWcSe2Li1oYQlJn7aWld8tpXgX4KZyZhxNxuX4\ny/i7rEHz45UFokTxPltkKrgF+4R/3M2MSvFpOoe5SdfzaZOIu8ki3ZTh2wcxOA6+Dsfx2eGMJZpy\nZg3uXHaMJ5vDT+IoRpYbJyBinrglZqXY8pP3RPGrj45DKpuSlpjqUx9f+TFqrCZENQvTGs6BsC+I\nko3lppVzH75IE8+m5fUS11FMgy77ur1uFtWvXxuB6VculP+PPwXTjY1wMxX8GVKNqaw7z69thjM3\n6ZTL2mTTYt4bi+NkHXkvFiVdwLLq7CIKetqSyXWnzTE3AMMTMW+HRcl+t+CoLFnBt/E337QdCpvP\ny/tdLVTnK2zXahH3l2A3Mt54m2wylcPcpBsYjqTrEznMTXJvEjWnNuLTbo0AgInpL3H/J73YuZne\ne9mxHU+sIPs9/ozzax0qDyHMY5ZObSzD2JpeoDxlNZPMSqYn05TCvYd+ghq7CRHHwKzdl6IcPKPK\nnwWqFAoU7DDJ8gKjIgZQSRcnvgKLFEDVHi/OPH4ly9QUj7oby+nG2fhLUaSyTg5j0+hjieNKXJff\nyxC1dHQr5eeYLjLGT0gXwJkuo+DYAfEVDn8JOxwMHL4N1TXYPD3YML3gYztiSnNuIkcGBFIZFCan\nEN8LSMUL0n5ErQg5tXOqDKsKggwS9qd7C8Ur4yhuKEH1um6pbCILK83GetKOMP7fG0chraQyNuOh\ngk6Apy/eim2xFMK2htuXH4PyBNvhzhXdMeO8TRj192MR1Qls2NJtaHMlSLcoasxGfBBhFUvH2u9j\ntn1p7jmq18IzdYJrawCB11bEH4iCWw5V/68804D/3526NW6koszvJ/HdyTrS3SfuO0dRtIPu10JF\nUOYH5cCJDDLmt5twWYUV5UWI/yWUzjpSafEbWKamIWV404T9yrjq/hYvT4MbGkTpkyREpDQHIlNz\nLzHNr3y4Co+bAs7LU6Rz3d+qmztks2P13BPFyDXHIut4jS73N6h87sW6Gd/djM3lSUSIiXvWnICy\nEhMTN5yOifgnxm87HWWWKQ0s3dSlIkR0DRtDcXwQ3gMAuDvzNmYlL4KdzsJOcxcVPw/Ca/YQK+zW\nEjNEkoNYx3CEqr0AFRHZmgJn/MauTP92HImvfndUPGN7khkAxQ2e8bqlAKUsikj20Ai68cQZrRmm\nrhDpCjjT+Tmog1K03PHaMTh/XTnu++txKEm3TlvfFkvhi6MT+LB7E2YPcBvjlWYMjFl5fIvuznqR\nRwAAIABJREFUrjDPRDs9HcP9tfuWXp537QJ8r+cgvDjoz6gIebvrPvz2KAx75QaMW/FvaEzndxN2\nKNH0lj8H5aB0ILlnzQm46OtKPLKiZ6td4ZvLk/j8qDjeP7IOU/vWAADKbBOTqnujzGn+JSyYnt7p\nSkxMnlvU2AuVhdfnx5l7V96KoS9fj18t+1HXwpkOjjVdhsERFK+s+qkRyRy4jK3SYdyn2ulafubF\nv04j+bdt5jCtlwJuHi1POW0WCOwroiWLalEQnaDMNnDX8u4AgAwRVoGsSpj3N3VCZCXWHjvCGL7y\naMVqcoOPpbtJjsO9OI98cybuO+IzTIx/B+VaC9H6bXyIKsIxzL9+ERKcZVH/o0316/Dx9rcBADM+\nuAMjznpSrmvNPZHbVJ3k3Hdy6hB5vxYlHRxU/hXEgMsGA4AlGBhdy2Fssr7vKjucUtxWABDWNRl4\n7C/4JgObFRdVTsd6xUXVLHPjF8VFI3DCjwCanv++U5MUHN/5Ep2gzDEx4cMebDBWbhKDo3wXvx8q\nZ8HCUV6zp1d9Ke7e0AtGxIAREUVDvcHKmmlAVwqLzkhfiLHG+5iYOhfdwqV8PM3Y9UqRQ9HvSrrD\ng7qZK66qWKgcC25YjETWm14OABtrq/ERx5lp792OO897io3b9+fYlEqGJqG4xAGgjodhZB0qwyUi\n/FytkBtOUcnLcuQLJC9YugDOdBkFpz3l3R0PIW5vQtiM4qYTHwVw6IEeUoeTXy3/NuYM2IoRq76N\n0rQuiq8WLOWOiSnb+iFU3vpUxCFfPo3q1E5EjBCeHzCxTV3Ow9x91aOyD24967GielvtbyHNvGgO\nSueRNzbfh7rM1zC1MH7RezoiRbbu6Ooy7sMemNJnPe6qPhllWQNoheeknFqYlbyo6N8e8o85qE7u\nQEQP4fmLHy4aawTOnHJoX9x+7tSix7M/pSvgTJdRcEye9i2CjDXDLfTnTxM3Q7qcD1nePjERy0Bj\ndhO+SbCCTq9snIDBh7Jma8HdyPnvFWYnMSHEta5kyW8+NdweKaJfimhroPES6EbEUnpJMS3fEN+b\nST8Wqd3ZhJvmLSwnnVsLhaaJl2gG7ll1PDRLByz32CJokBX649e7lJ2HKdPFDVn8T7ZskK0b+Lma\nhlzn7xtTlfgGq2q/AADc8t4j+M1FE5VuwIX9D+L/emjAPEx8eySGn8Xq39Txgn2mrkmrWrTvkK0X\nbEPO/z35KJqymwAawqnRcTARzX/dZHG2NgYZdwHfeGcX0X3bNBjLINgVjQQzNupUJDDUZb7GFl5O\n/49V4/Dz02aw7UR8hq9jvWRrAsYjtmnXV5KvjYIQNbtG9oCSLVtcdlLEBQp2xTNeH77IFjemlsP4\nllg6Hl5/Boyoix8yzZzHm6isjWbxZb5igirW6Hwbt9Bgbk8soumoin+DVXv/AQC45d2H8ZsBk3LO\nJZ8Ipl/XKKZc8QzuefM2jL9wOjRSKouIarJMhRuD5Sa8eOO03ts5EY3Zr6GTMC4+6iFYepnEKBkT\npjI4u5Q08WKkC+BMl1Fw2lNESf2jS3uziqRdSB49fR2+jsQRymi4+53jELU7n5Ye1dlL5axYT8w9\n9+42HassVIFJl8xHXaq4wn5N2U3Ym/kYALA2/hhOtsa3aTyFSFt6xByUjiMmx5mjoqfj+z2L60vW\nkWXyadXYVJJAOKtj3Mc9GPvSyURiTWXPZgsktiTloRgeu3wBABRdRLQx+7XsZffuzom46MjCla1i\npCvgzAG94wghAwFMBzM85lFKH/GtvxjAnwCs54t+TykNRIIIT42T6ZaGmyYuWB3Dcgv/lXILIKhl\nw/XHT8bKbQ/gp6dORMQsR1j3pomHDN3VuGUxLj5mOXY3Hij3xBU/OS/QFdQQTjS003hUv1mS/8EQ\nFohu8pLp4TQ0niYurJ1MMostFSl8WsHSNWeevwUTPuwJQGVuWtds08/caJabNi5+VxMp5CVuy4Z8\nRbhE002zJOI2wPNNF/W7A0O/fBpP9r8dFeFKZtE2kxrrdmPm5d3h/l+mL803ZIiGqlTGQqT5+IUl\npVroYSMCZICYeQq+c+gYpNLcejQ0ZHngtmBr1DRxf5xCq6QL1KfY39KeWANANqsUYvA4MlPLjcER\nopabiFg6fnLKVLy84V78sNdD6Bat5OtcbJEWvK8UBZCfzaEKtuSrY0KDnhH+MqNK4KjfRaG2VfA3\nyRQMim7qkrHZUp7CJxWsJtbUMzfgwS9PZb9h0xx8aQ43cjFGl7jhNvAN8XVueQkxJskuyTGaLivO\nMUWww8QwJWNMDBOL+9+JIf94Ek/2v70g95RGXDZKwL/beoN9D+m6mzrO7wm1VYN4N/mZv4gZBdLA\nIaFTcfHR4xHSDZk9Je4tXSMo4+cpmjUXLV0AZw6YgkMI0QHMAnA5gC0A3ieE/DmgNfoKSukN+3Ns\nYaMcPzp5OiJFtovvyBLm3Yt71ZXizi975KyfcuYGbCpNIJTVcc+aE9ql+F97S8wsxYvn3XughwEA\n+O5hD2LNronoXTEaplaGFNq/xYNfirWsCnjJ/wzAnWA6YAOAIZTST/m6GgD1YC2qM5TSs4sd//6W\njoo1EaMcv+gd3JCxK0iYGwi96ksxem3PnPWiGnHY1nHfV6egzD6INc3JpUdPwqptD+Dcw8YipBcf\nd1iotIXB6ShYcyDvqLMBVFNKawCAEPIigBsB+EGnoKCK0hjTxCWDo7utGkQMhdByo5Yuo88j3CpQ\nm2yKqWiglzvV5Lz0lxKv1RWk+1KFZZCl1YW1xC0JTan14ijNJQHIXlqaZUgfsrBWZGNNbplkk2lY\nvBx5lrcVcDJZTGs4G+ONj3HP1tNQfrip1NNh023d0vi0XDA8mzGpunfAmaiWm8+SM11LTFpXMq5G\nZXDCch5Qmmzy5Vo4Cs3XEE+LlGDI57NRldyOqFmCJRfchwqZ/WF4rnGQlSr9/BqRPfLE/yX+T1lr\nRGl+qCn+bTGNJtn6iHkYbopNkzUqysJMwYmn7ZxsCFH7xrHbyOAU4Rsv8CW/HsBFlNI6DlBPARC5\ntRTAxZTSPcUP/IBJu2INAJCMl8GxQiE5769tI1jiiDIVzX1DSvYUwPBI3IshX5xfgeFlhY1fWOci\nvk20KjBNwBEFNRl+aIJV1nk9GF2TbIjhsOdX4IgFNy5mat3ZmGB+inHfnIbyQ00PS0xtii0VKXxc\nxuJEHrPW4dHNfWGGDcnciBga8VtCNNN0m/rKBr5ufI3L4PjibBTWSef/l2i6qfFWDyRSAo3jzeDP\nZ6OqcbOCNQKzc1+bMsOKaJIxFoyNztv3iL0sEDhUMDdeJUIltsQ7ReBOafhwnHjoTE8DV38xWsvQ\nEOKxpzTRRganyBicjoQ1B1LBORrAJuX7ZgDn+LahAL5LCPkE7ELdQSn9Iuhg3zqM3ZSy8JGhu3+6\nrnkyFr534qOojDINOOIDHwE0UVOX4BOk6IjeMyK4kG8qb0pCSG7KuBJQLFxTghq95a37UVW/EVHN\nYg9TSZmkCKloeiZo1FAEWpi5ooySOEZs/xOqsAsRYuDpo65HhRZGVukmLvs8ZbIoBXAIWYc7enyG\nCDUwPX4eyqkl0zxLQxEAdeidqcTD2XNRfqyb5aQGG+aChheUiK5JoJFgKEEo5NLFfNmtu15CVXon\nok1hLDj+ZlRGKxUFh4GPFilBVXI7Vu76lF2zNY/ihStYY0N5PQVwKwqO+B9U4DE46FjynSbVSL4N\n8VSnBdx7I6xrUhGuULqHq9NU1lGCkvlUfM/aed0YhUiR2Q0tvuQppe8o278H4Nv+ny7mhzuAtCvW\nAG6QsRAjxPBk8juj8PG2L2HqYfy411REjHKJLapS43d7S6XG0BD2LRMKjrgPCXLLUbTmbrrlnQdR\nVbcRUSOEJeffx1wv3FDQNB2OmOfbi3D4kVt/j+r0boShY17lDRJnAMAqY89oNpmWCRD3OZ+jVnMw\n9oQvMCN9Ecp9DE1ZOAqgFr3tbnhUG4Dy7pan07jmCxKW52o7cpnoaScMJF1RcAjHS/gwatjm36Iq\ntRNRzcJzpw1HzChRFB13viq+zYs1l09jv68ZLt74DCn1vxFT8U7wWr3e/URAsqeSte8+EBWOM47j\nGk0+ZdoyNESE2yvZttY+bcii6jBYcyCdbIU8kx8COIZS2gfATAB/LPbHatMbsaXpA9Q0rMbLGycU\ne5hmZcwbI/CD3w3Ev//pJtQla1u1b1X9Rqzc/ne8su0d3PJecKfafFKd2Y230l9jeWo9Rja80uL2\n67V6rDF2YIW5FWMiazzrpjWcg6uT38aCuotQTluXwj0m9C5+ZL2MX5rLUNfKludV6Z1YHV+PV+u/\nwPCvX8i7nQz6O+RUPPndca36jS4jxRXfCnrJH93Mr/wXgJeU7xTAckLIB4SQ/9fmc9i/st+wZlP9\nOmxu+gAb6lfjL+v2XcD5r18bjkG/G4gf/+F7rceauo1YueNDvLK1dVhTnd6N1ckaLE+uw8i6l1vc\nfr1Wj/e07VhhbMXd1js56x9PXoBrMt2xKH65bKFQiNyJlfi+/Sf83P4b6mjr+2VVJXdgdWM1Xq3/\nAkOr5ufdTnYP/1fFmuIL/XUYrDmQDM4WAMco348BuxBSKKUNyvzLhJDZhJBuQdTVN8ufA8C05uP6\nnI2T+p7roe3Kt5ViaxzoXt4bt/SbjIow0/iFJWUI61wEAuquJSVpZMOljHksqsfKr6ldh3e3sl4k\nd7w2AotuXOwdpNTkDVDdLRAFuGW+zzrkVDx5/gQQPQSNWyCiB5NgMmg6KftUadkMorvKgCTQL9od\nc074BcJ6BDSTkX2t3JRy9ltl35QAaaCvcSRmVd6ICi0sGZxy28FCHA8c7r/CvlPx93LRdXy9J4X3\nstsBAONKP8RzR/6IrfNZVMQ0XTaKn1t0dwkQB/qXnYg5Z4yAXnKIG1wcivD9QlgyYBJuee8RzLno\nAVSEykF5fxiqm/Laeq61Ii5lDJjU18uHi8YTbU2d5LWgSm23X0w2zPvGiP43sqeVk9ODSEyrP3oX\n6z/2KpatkgBQeXPNR1ix5qPm9irYyCeEXALgPwGcryw+n1K6jRByGIBlhJB/UkpXFXrMAyzthjUT\nJkwAADh12zHgvO9gwAXsEpEsU+ijJrtXjy0/A4P7T0bUjARijN9Kd3FHh2V4mUNDy/2+fm813t3C\nsGbU8hFY7McaVSRzzN3yFmMozjr0NDx5/gRQMyL7LGlWWAbZOsI1xRnkaLgUSAL9o90x+4R/R0iP\nwBJtDZSO4wJvynaVABngTP0IzKy8HuU8a0xIOYDn0N2zTNP13LR03/eN25vwbmYbAOBOugqLjvqJ\nByvkvHCx+IKmSzaXAU1A//ITMbf/7dDNUsnakFBUYsriSx7F4Lfux5wL7/dgDXQT0L0ucTl+QkD4\noybwRvx/kgoLYHJksoNO5L3gMjaih5XbtyoTcnEGcAtGmhpBmN8/K/7+OVb9Yx1b/sFOtFryxOB0\nJqwhtKWukPtICCEGgK8AXAZgK4A1AH6q+ukIIUcA2EEppYSQswH8L6X0uIBj0fGvsN3UGgKqghPP\n1OO3/xyLn5w6ERWhmLyh2kvBsTSCf//zILy5cRn6HN4P//eDv+DQEpYZYQoXic192NmUzJASwFgX\n34Uhq+/Fk+eORcwqA7HToBm2jqaYO4qmk3IqFByazaA2G8ew6vmY1f2niHGdtTkFZ2+qEbfVvoTp\nZQNRRnnNBF+/q5YkSMH50d7fYnlmPfqaR+GPR/wclVxpK0TBqUMaQ6vmY85pQxAzS0CscKCCAwBU\nt0CVeQCgvB6JOC41QnJdxldXJO1QZJV5wAUR3t8OGcdVYgR4qI3xpIJjN6/gvPjFGGxv2gBLC+MH\nJ09BxCj3VLIFgPsHngJKC2lixu51uyrXGvaL3uM8zzEJIecCmEApHci/3w3ACQj+OwPAHwAMpJRW\n5xnDvQAaKaVTChnzgZb2whpCCJU9oDZ9BsC9/+zSwwAAK7+pw12vD8fPT5+EijAr178vFJxf/Okm\nvL5xGc48oh9+//2/4DCBNXAkpohML8JxROBPbbIWQ1aPx5zzJ6DS4HWbRAyOnQbl2TcOj+Gg3NWx\np2Enhq1biCeO/SkqHO4+b0bBqc3EMbLhFUyNXoEKn3KTTwpRcH6w4wUsTzOc+Uv3/0BMj7RKwam1\nExj6z6cx+9TB6FZyCFsXoOBAF5llHFMVBYcKnFGVHgC2ZrrYILEFnu82pRJv0qJ3IP+ezDo5eBOo\n4Ni5Cs6Sf9yNnU0bcExFOZ66ZgGOXPm8vGbR798BQki74wzQsbHmgCk4AEAIuRpupPUzlNJJhJBb\nAIBSOpcQMgzAEABZAHEAv6KUvhtwHLrkQ8aIqV15hQYt/JvBhfq86d7S362TgABiyH3EMkNz19Ul\na3Hn67di2uUz0S0Sk+sMoeCIDuJ2RoINbN7sjfv03W3SILboOO6CD8CD/0TXcR/AiCaUNJt25zNp\nz3Go4+Q2sORC8zWx9MnwjS+gKrkdEd3CwhP+EzGrjClaGxbjiRN/iUqr1AUW0+cLNyzvPJBTzI8Y\npgseIoWVW03QLQV0+H56AAjxbYa8MgzVe6oQNiKYd+0ClIZiEjRsH/iMfn04NtRWI6RHMPmyZ1Ae\nirkNSCXQ0Jwy+n4Qsimbv2fFIHyxi92y537rOow6Zy5r1qooOD/rd0zrgKf6vRa30086xw86hbzk\nuwN4HcDP1eeMEBIFoFNKGwghJQBeBXAfpfTVQsbcEaQ9sMaj4Gz4kC9k97FdzijPLxJRbObdtP3p\n3irWCJwRCo6KMUEKjVgntm1M1WLU8hGYdvlMVIRdg82j4EiDij//sq2Agvl8mQySVXBHHIem4nyq\nGFh+/OHGFxzb7b6dB2M84mcJlFYRQoZtWMKxJoSFJ/03oOkYtv45zD7pZsS4EummdluuYuNjoCQe\nqcGzIilBGkqmm7DgSwSR33XD3Ybjj1g3dOmtWLtnLSJGBHOvWYCKcDDWCJwJ61FMveIZlFgVchuB\nN34lRi386MebZNaLNYNOHoSFdh95mqU/G996BacAnAE6NtYc0Lw8SunLAF72LZurzD8B4In9Pa5i\npSIcw7PXLTrQw9gvUpXcjlWNTOkeVvM8lvS8BTEjiiUnDznAI8uV6j1VWL2Z0fkjl43AvGb+ow21\n1Viz9S0AwISVt2HqFQvb9NshnbFPJ8b64H/6Tm7TsaQEZIi1JJTSLCFkOIClcF/yX6oveQDjAVQC\nmMMDskWK5pEA/sCXGQCWdCblBjiINZ1ZPFizYTGWnDwEz/caeoBHFSxVe6rw1mbXdZjvP1JxZtyb\nt2HqlQva/NsCa/od2R8zr3oCeOmpth2wCJwBOhbWdLzCA0VKj0N4FLyPbVGXucHsxJ2XGTZsqsto\ndjeM25/6rWsuO5SbEuju7zbl5OmRsgCXDsqD6oi0BPhUWE9GSDZ7k1aWYHeoI+eJIyww6t2WOp5G\ncAC8DI6QfNZVC1ZXyZZuQCNwVuXJeOqi+2CGKzybEE1zrTNfET61GJn7R/B1/HrcsuperK3fiKgR\nwaLLH0csVO5aUkSTjI0/PdyzDRcR39TvyH6YcdUsGBqR/63NZ3hSHEr4tn0O74dHL5+JUsst3Cbs\nXoeygPKa2mqEjQgeu/wZHGYxS1L8DQ4oKAVmXDUf968aiXEXTEdZyLXSnDYwp0Ep8AXt1/JL/r8B\n/HfAfusBnFnUj3ZRIRneyFCwAtwNFDFL0b3C644JxJY8ReB0hR1WGWP/Nl5k8aWc+J83kU2kNov0\n3UNUYkTExRaRKRbi7huRNm6nAVswx3wqWOJsxsUtHxtMAzBF1lpR2z/4sp9Kvq7kWNMLTw24H5aK\nNT6MoZrhLvNhir8JqZDBK+9BVe0GRIwIFl0xAxXi+GJMfkaHaDk4QzVRNkIoGf0w44qZ0AngSIxz\n/y0vzsxAKQcgBy6GCCbn7tdHMrbHiGDKFc+gxIzlbONQisevnI8HVo/EoqunI2aEkWhqfQC2KsXi\nDNBxsOaAuqjaSwghdPOeRs+yoGbNatyp/6/zVx1W9ydByxSwUrdx93eVKOK/xtRxKWF/h1qfosL2\nD9g23/4BLqZmu+AWKbWpegx5827MuXgSUz7kj+U+FIEPir9Kpg+UL//d97BqC/MBD+pxI56/7lnv\ntv4gYj94Kb+5N1WH4a8Mw8yrnkAsHPMoF6rSAgC1ib0YuWwEpl8xE2WhmGcbKNve+L9X4R0e5Hl9\nj5sw71pmqalXNd+j5c8Q/3a30lZRx9maj1vczjjuzIKPeVAKE9VFlf3EZ1QeymKYd5Z0lwqx/wkT\nd6RaQsKfQUwU17oeoNgAHE/48yterOJe06itGEK5WMIOoDx7QcV1+H6quxxQXF2O8htSGVJ+0+/2\nkscNwJyg55aPSRh9tZk4hqwaj9kDJjKs0fPXZ6FEy1FMghQbdWyX//ZGrNrCOn1/v8f1WHLdAr6/\nHry/chwqxirwI1mLEUsZ1rgGjYi9ccdZl/S6GOW4As7p+t9chbc51tzQYxDmXvuca0j5Xy2U4gib\nxcXXvfC4XH7orVNa7aIqBGeAjo01BzJN/KB0YomFyvHCVU94lZt2lCjvvtv/8DMxm9efKFbGvjkW\nO+I7cfNffonaFlJqK8IxzL9+kQd0AsfHLbUzD++HKZft52q0mtby56AclC4isVA5Xrh8+v7Bmsva\nFjd/z5tjsaOpZawRLsaWcAZwWaEzj+iHKZfvR6wpBGc6ONbkdVERQm4vYP9GlXY6kHKo2UyJ/GIp\n/Wb3oy0cmwIUGPbKMKzdW42oGcGC6xeyoDiig+bp+1sIoVase2N/c3VtUemfvXGJawmFY/CT262p\n6lq9e62MwRmxdBiWBKbUikqk+Y+jWn1LrnsGQ1+9DbOvfByxcDly7XVF2siW5RyuDdRxR5TOhjWA\nm1kk3C46d1FVhjRk8/SJEtZ2EDssxMP8iuQCyaQojIxwd/N1VDMwbOlwVO2pRsSMYOF181EpFQKf\n25ZoOcyDwBR1zITXnDJ4WrnL2uQyOJK1sRUcDgpq9ovvQWYupjyuIc7cZIgR7JrziZ+dVdl2Tfnd\nZ29cjBFLh2HWwCdQHqqQLiX/tdEC2S7vaVTtrcLqzSyjeeSrw7HoxiXyFRH0svUfk5DccAOJNVdM\nQyxcAhAnkE2Sx9jDst8yB9BF1VGkuRicOwA82cx6AmAwgA4DOh1RqpQA1+GvDMPi7y05wCPaNzJi\nKctUippRPHPdApndUKzEwjEsurF9rpWIwel/ZD88cdWsdjlmLBzD8ze0LQC5aOkCwOOTg1jTDlK1\npxqrONYMWzriwN2f+1CGLh2BtXvXIcJxprKNOAOwZ1nichtDNgSz2//IfizQtx1EYk07G0otShfA\nmeYUnMWU0vua25mncXUI0Ws3exd4/My58R452qk/6FXdxl/+X+0G7tekffu7QWcssp1SZhH4rQsq\ng8X496B1AO5YPhzr9lYjYkQwa+B8lPP0QnHrezsOex9W9Vu+TgGFPt9+Y+bLnWuxZhvLCujzdG+c\ncXg/PH4lS7MWohGCu14fgQ21zMqccdWzqOTrc2KaiDcuQawbtWw41u2pQtRkKd+xSKV3P+W3xBgX\nXvcshi0dwdgWq5TFFAQFZSvfoQZpOwHbKPsPWTEGa+tqEDUiWHzpFEalB8VL5fveWgnohdPJpVNh\nDQC3JhWvUUXSzGrWG7bLAp15Y0CCXhzNxdwFxdv50puJH2sGzoateWNVJEtD3Q73AgdsBWvErwis\niRoRPHn1fNnxXCc6dF6Hym1NI8ZeYAyOP8hZuTYOf4rFeGU9GRv4cs86Gfum4kwsXAm/3P36CKzn\nWDPrqmflNroWjC2AwA/2eyObwRoVZ1RZeK2LNRWhMoDagXEg7n/suzaUepJJ2IVw45yGvHEX1tau\nY8kXl03LddsRDVqS1ay0eaueoqUL4ExeFY1S+uuWdi5km391WXjdfAw6eRD++uO/tpnVACArmL6x\ncRlGvzaiHUbYPhLmLAmBhr3J3Vjx9TKMeeO2nO021Fbjva2r8ebGZbj79Vtb/Tvr9lTh7S2rsbxm\nGUYuK+z8Y+EYlty4qF2uf5CsravBqm1rsHTTCgxZte9LulOuPDf36UxyEGvaR5679hkMOnkQ/vKj\n9sGadRxrXt+4DLd3EKwRDIlODIkzv34tuDTFegVr7tqPWPP8DQv3HdbUrnexZuXYffIbQgrBmY6O\nNS2qaISQSgC/AHCcsj2llLb+jtmHQrexktRu2qES4+JrtgbDgib9vMHdqFmfDV+aoeoTFvv505Xl\ntgCI5qE/1Wh6f2S9W0zO/e5PBbQdwNTYA376Yf0w9oLp2Jviqd8+f3HGpp4UQvXYKrNj+yibQntA\n+rPUfn3uHHyy/RzUpXYDAErNCtx69mPY1ph2U/cJgUZYCu1ph/bFXd+dJsev+ywpnRBPYTOAWYkW\nDwjsc3g/PHzpDFkJ1J9pAlC3yR2XoUuHo2rvOkSMMBYNnINYqCI3C0SNe5Cp+GKdm25PFOuqhMc4\nnNWtF57sMxyk7hsgmwa1g9Nl4diBKbMFSwcHlWKls2ANoFT5jdd7vuv6DllVm+bDhpaymITky4LS\ndHksorBDMasMS25cjAz1PteSpVHKHeTgj4pNfF+LY03vw/rh3gsfRx1/Vg2NeEpmqKehQc1I5U07\n5SkqmJwnC8imjot7vjFmHIrJlz2DMW/circ2vYHGTB0AIJml2NHkNj8VeGPw6skCKxszLtb4i8AG\n9cMMGW4iweRLZ0gmSSfueQss9WANdTD01VtRtWcdImYEz10zDzE1tT0oi1aZBmIRANhpRHkc0lnd\nTsFT/UdBq90KvzicVWxrDE5XwJlCzuAlAMcC+BTABwD+zj8H5QDI1CuewcATvoenr/0/j/vnQEuZ\nVYGTD2HlC0rNCjxz3ZsosypytntwwNO44vjv4clrihv/jKuexXUn3YTfDPpzQRkIqlTYdY2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GwcuUx8d/gTKtZRX2AfbSbImGjErQAqHn4OdCJtUjc0nGDcjU9xCxwkoTmlSCQzyJCML03dewuq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\nNen8Qc1Wlo4v6Yff9J8ltu+oKcdn+94HANy/fiIWjWhaGfUb/zYTm2q2I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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# make up some randomly distributed data\n", "seed(1234)\n", "npts = 200\n", "# the randomly distributed data points $x_n,y_n$:\n", "x=uniform(-2,2,npts)\n", "y=uniform(-2,2,npts)\n", "z = cos(x*2*pi/4.3)*signal.chirp(y+2.,f0=.05,t1=4.,f1=1.)\n", "# lets also get it on the grid.\n", "xi = np.linspace(-2.,2.,100)\n", "yi = np.linspace(-2.,2.,100)\n", "# np.meshgrid makes a MxN array out of x (N-vector) and y (M-vector)\n", "X,Y=np.meshgrid(xi,yi)\n", "zideal = cos(X*2*pi/4.3)*signal.chirp(Y+2,f0=.05,t1=4.,f1=1)\n", "\n", "# \n", "zi = mlab.griddata(x,y,z,xi,yi,interp='nn')\n", "plotCompareInterp(xi,yi,zi,titl='Natural Neighbour')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This is arguably superior to the gridding perfomed by the universal weighting performed above. It certainly maintains more of the scales of variability. There are obvious errors near the edges, but that is because this agorithm does not extrapolate into undefined Voronoi cells.\n", "\n", "Linear interpolation is slightly more jagged:" ] }, { "cell_type": "code", "execution_count": 56, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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1ILYaHdf6Wzk0KN1XNl+cFDBXUHQV7PfiBIFWM5PzFXnrc2NmZNFEbX5kmtZz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\nVvBZs0r7w3W0ag1GjdHk5PM+nhlvWLK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eO5PbDr+DRLqB/hSH6I/qWERcYDZwGLAMeFtE\nfqmUiuutX1JKHd/PfYckBpJnLOzsPnA2ToUaHAtrGo6apqDY/GodUqPm14TJihs41bsOaZMobvK4\nPbnzsBmh46kyS6tJyXUF5lKJaROtycRxXVzHmrTNWCMOtUl3FD89+QmcQg4ohH1njRkl6ghtnVsj\nGlAVSccA4MUc+XWYu9XyGE348+dqnvF6yQ3dQalSnsmMLG3WTaLEaEh+wNtGOxVQdmQfa2KL7hdq\n002iVptKRFlH4lSgpQmurdUcR3i5LlPP48c9qINaAJXQQktnQZE1ai4JAjjsePS9dO+JT3L2s2cy\n68jZyB3TydFZ9nL1hH4nCBxCXDPYGpx1YQtgSeT3UmDLQRpLWTx03MOcvOPJ/Orvn96g2pvBQmPT\n/GDmePoL565fX0bb9dyiFzj9+XP63c8Zz57JEU8exQn/dRLNnc193/+ZMzjyiSM48T9P6Nf+64OG\ndAMPHvfoes2M+1nhd29gnlJqkVIqBzwFnFCu+/XYd1PFkOeZ+499iJMnnMj/nfLzDaa5GUw0Ns1n\n7tL15wYYOJ4BzRWHPzWV4//7W33mirOePYOpTx7BCf954qDwzCMnPLZe76T1qCY+ZLhmUzCyxS9C\n2bnykpZc0W8nslvc3iwSbi/ZZvcXCR1e4/4eEq5LeXX85JhHcUUn0pOInT2o1xSM3Mxy/Hwg5kvM\ngTCwpft+sV01un/Ezm7bh23L+IDE/EuKjtfdb4Nqo5qYMnIn7t3jDBIrPyluENeylPFTsuusO+2U\nUTvzk70uwGv6tMQBuKiWV2wmGNSP+vJj5i5/A4AznzmdJ465PyyRYe3kjhf2FZtRfbLqE15d+goA\npz1zBg8c+2hZx8junCV9pUocDoNtlO5f4gvQTSX53sJN9ityq9xL/OuxNgrYV0T+hJ49XaCU+rCX\n+27q6BXPgClHENPg2CWEVe+bOjUnBbWdguSUTtF3CEu2JByhYPzxEpERVCfqefyEx/TA8l2hNsFq\nayTkCpu0spwPGYDruDjG58PWkHN9E5Ke74Iuk+rfOL7aZIQB1+SzJXWygvIS+VwQ3NFjAId9To1W\np8rMtaeM3pV79r4Qt7mPBdoiqDKa2sljJnL3ftNxWr8sbtCDn14UyvVo/PKjgGtOf+5snjj+4R6P\nHX3WG1c3Bjzzg2fO5MFjHwXAERfXBjfEAjDKDdP22WFLWOR8Oo0Gx66zcAgDMCzS7X3X3kC/eQaG\nENcMdQFnGbBV5PeWZl0J7rzl+uD7Xvvuz9f3PXDDjuxvBI/vfxU/ePMG7vn6xeudYvyxA6/n1Neu\n4e59r+izTTmKKqOqnTx2D+48dGaf91/YvBCA2mQdVx2w8asiv/3aXN5+7ZV+799P1XFvpKo/AFsp\npdpFZCrwC2BCfw62iaHXPDN9+nTeXtpM46gqvrHfAXx1j302ygCHOx775s2c9so07jrgGhqMOa7f\nfR06k9PmXsGdB12/XjwDEa4Ztyd3HtG3JIKLBpln3np1Lm+99gre6+/1a//1iKIaMlwz1AWcXwJn\nAk+JyD5Ac3d28QP+8UwgnD198EVrxC4Z2rJBa1eiaceL24QzK1t0LV7IMeFIUUK+4m16qSS0rwea\nn4hGRgrGnt1NynYK2bAQX2wGpfK5MBzZJJPzYwnn8AsliebCcGW//Lo4/AIZ4JFRJ8C8j+hy3JIm\nwSwtFpIvjlOyrjaR4PEd/g1WrcT3mnQ7G64fScIIppKutdPbcEsz23vs4Js5de6V3HXQddS7qaIw\n2SAaIVIxPKj8a1QqW9ZuxfLWZbRk13LFS5dx99GPBtuC5Ii+KgrZB8jmw4SJNhw/mqIewtTzBRV+\nD8PzdX9V2+/JAdvuEVzDu2feWHJde0I5tfDcjxfxyseLe9ot/hLfilgdc6VUS+T7b0TkThEZadr1\nuO8mjl7zzPTp07nnzcWc9LXRAHzRrp+fIGw86Qb3xpft+pkMk1iGxSdtaYC0ieJLGV+aghNySCHw\nxTEFFcVGM7mhVsbe92Z8QoQvrCbHPuuu4RYvGfrl5PXsXrI6maXkO7vV3ASJLnPZ8LtZWs2xymUD\nDpLuEq06bpho1WxrcFyenHgOrG0Cmsz4bdHR0gR/3UEclxHVdTy11yVIrgtyX0Q3lrQvG2lri116\nac01r0zjroOvN1zTAV4q4BlbssH+AVHt7ha1W7HM8MyVL1/G7KMe0adPJAqtjDKpO7Giw/BPZ8Gn\nw0TmrTE+Xy2mRE97rhC89/Y94ED2PeBAuGo+ALe/9uduei6P7hL9bUpcM9hh4k8CBwGjRWQJMA1T\nPFUpdY9S6tcicrSIzAPagH8evNFWMFTQkKrjySNmA72bKsRR+/+z991hUlTp+u+p1GFC92BCd82C\nAZFkXF0jKph13eDdvbve/d27SlIxISBmUUEEAQkKAgLq3k1uuCZABYys2V1dmSFnJEzsWFXn98cJ\ndaq6Z6anZ4CZWb7n6ae68unqqre+7/1SiDFRvQ7uiycuanma9r6WfJbVuT2Owbk9jpHzj/9lWXCT\njwF048G2mwH8FMANvuMScghYKjUlhJwOgFBKdxFCmt23Pct+nNkvxUo8VI6XLp0GoOVYo+LMuE6C\nM0DHwpp9nUXV7MAppUMLOdbnG2sAqE0fidSS/7b6PuxIrEHIiOIXPSYiFolL33djrQJChu61Cgi0\nFQibWk4Zb4P6VXGi5daxUf3WwkqS5diFJZVlVhdxPCvJ5W0B3BTLuaHplMfgBCwpwdpQO+M1eQw2\ne3QcuUw2awswOK6TPyYHADTlxhdavmxyymsnaLqe0+xUTIlhSWtOtsPgU7VlhmxuyttnaKIJnW4B\nvG0GRPlzmY2mxPBwBmjoG0NQtasSYSOC5y6bi2cGzMEdi4fhsQsnI2yUI+24MitBtr7IurJUfNrx\nt8pI206zDQEztus1OeXTVyrHYGdqLQwtjMuPfAJhozj6XCuiPgWl1CaEDAXwBli5jtmU0m8IITfx\n9TMBXA9gECHEBqsH87Om9i1q8PtA2hJnAMYABxsxlvJ6OH9ceS+21q+GqUfwm96TETVjEjc8lk9D\nVi7zT0O6DoczxxFRBI/62UVdqTUTjO8DVdbJmJlUYBsXWrLGt07gDs0kZWsStzFsyeTBH4FRdjan\nAaTAAYkVhuUvugr42F6xnWx/khXZW81nfpJICbRomfzOzpvLPDfWrFSLlIBw3PHiGfNMOZaLooqO\nxqZD3xiCyp2ViJgRPHbBJDz87r149AJ2H2SUIqxaIzm6eRkdvizFGZyGjIOaNGdu+LSWT6tTWeyq\nz+Cvq+6DZW5BxIzgibSJctryeJpicAZoX1jT3l1UBcs/NrEHVig1lqFJZWV9dRW2pT4FAMz+fASu\nPHqC7B0T7GotplFTb7RfSdbV5HeXCuWHjUM8Njoh0FXeGPAHBjei2CDNlBg32eApNLxzNU156wSw\n2DyAzE6y/UVXazuVyVFsHKnwZBVlx6/geODUuL1CdOL1/OJAIZQeT6kxZaGooKJjhC3Zvd2IMEXF\niAY6d0dKQJXu7UCgm3tgTHK0IhVV827tKiXY77ZFw/DMgHmYfCkLFhSgMeadYb7y9DopQyLr0b7B\nab7u7QCQEPNZR1Fw2LL1NVXYmWH143737Wj0iRfnl88L2AUIpfQ1AK8Fls1Uvj8D4JlC9/13FU0j\n0jUdMvzBxjsTa7GqegUAYO6X9+AXPSYjyzEl63BlxtCVar3smDKg3fUwRShPtngxckChuuGlFYvq\nuJrnqspZJ6YCa5I1IFmuxHBscVMJOZ/jfhLKjKLECJwROGKn0nya8bCF403Q+CG6JvEiaCAR3cvM\nEZgUxC+ax/gyOJ5Y5SUwy1gMj8ZxA8HnRZmX51eUGsK7uGsRkdwhsgWUpA+Dj4UXRdT49a/aVYn3\nNzGseWj5vZhx2XxkHJcXMGTHGfXWMKyprkLYiOKR855DWSjWSJV4/7zAn5qULV1StTyQfXeSTWsS\nWSQyDrYn1mBTw8cAgEcuuBZ/+Y8/ArNbVimxWJwB2g/WdBoFpykxNPbSPDB8En546Jh9PBq/3Pzu\n/aisWYeoZmHBuWMRz+OBHbzyeVQmtyJCdMw75tdoXdhc5xJx/SJmCeZfNBExK7dfS8T0KrNO6J+f\nKl5X45Wnf+L94Rh19qw2H6u4D2PmCTi5vBX1q1oBPPtlz4rFq9Z+r7QnftR97weWNiY3LxuDypo1\niBhhLDznEVSQ/NA/+NtZqGzYjIhuYe6Rv0TcaF3Ab2eSm5ffh8qatYiYJbyhcm66flTBmsbc3+tq\nVuGzbazlztj3b8NjF8xp87GaHGt6HdwX44t1j3UCnOk0Cs7O7cwS0YSLStegc+vqGHM0MuZ4nFwy\nAlt3a6ixGiSDUxpm1F0pL9RVxqmY0rCBNF8mu3GLAFLXu2xC886KmD9Zzpsif5o/QBxb0seV1Wux\nbNsnAICb33sQL/W5GwDgJmrhNrA4rJX1G/FuAwsUG1w5B3Pi1yDbwCywbANncMSUW1ZOKi2/21y7\nd/gg7aQtrSCxzA0wN80zODw4WwRum35LzIgYcpkRYddYWFl6OCS/GyXsQTTllCkoRiYFTQQrBvqt\naAA0bnmp12/w0lF4cSAzEqhyZ8+6fC5ue3Moxl04GeWhGJI2lRa0CC42dXb+bhW9MaTfk6hJZWWJ\n/XpuQdZzGrg+ZaMuFVzGxphQGB1bdHjnltdRdCRsbQKOpsNRu0MDiirzh0bp9f2yd0QnRJbvFyxL\nCceTu86YjsffH45ruj0M0BIkM47XXZtvw/o1BYLUJbujyRRix/W2V6eUEF9fNUAJMqZujvuKAlhZ\nuw7LtzKL/ub3H8HLZ93HVtqK2wlAZcNmLK9jpSCG2PMw/7CfSZY4U8vuV5Wl8RhjxuC4WVvijsuf\nBYEtkrVpggFWq+OKdYIJcuQ5s/KYOr+mAj+sshKY5VH+Pcq3yXXPSDa5lLVDIErfOCITMPi4+T6V\n1Ws8rHnnHoY1gSDl5y6fi1veGIoJ/acgbJSDKkHHgngK8SrDx3fpjZv6jJPB6HJsjRSpFa7y+rQt\nXVS7Gti+NQn2P9albZSFDFx59DisTz2Jif2nFF9zqxPgTKdRcJoSUytDz9KHYLTDPyzKLb5Tu5yA\nmaffDWTzbMMb8/UNfQ9TDrnaX0L331zk9TvwZEz/4UN5t4mH45h71QIZN5NPHjj3WTzx/nAM6fck\nSq2YVGraUgxSihOs++E4LtwmO4M1LcS0mt9ov+wTKbFiuOFElk6cr4HtvhKvdH8PzDxrVKPbRXh2\nUN/oEQxr9osUD2t6YtqF4/JuEw/HMYvXu2kMbx49bxYeXH4L7jjzKeikdI+MNWyU43k+jmKlM+BM\np1FwGmp5cC73jRumJotYGdw/LqZpS0OSszPS4ubMTca2+NTNA1A8loQ4Sjo5u4llKidP7XRBlIZu\nPCVQDVLj3xee8zBu+mAsZvQaihhMuBnG2tBkg4y5ef7gazGMaphYcglKEhTp2nrJ3GRFDE6A0ck0\nZGEnhX+cT5PCl+3A4b/byfhjcNwCGRyN/35hZem8G/BTfddiQ0kSEdfAw1UnocwxYfBra0TYf2SV\npKTF5QQDoDOen13YXbIJg/DNGxYoD1IW12/6eY8gbpX6mmaKXyAbmPJ5l3op4AKETK0M954zCzUp\nG4msg0TWlUpOjeLfBoC6lI2aZEZ+B7wYnDS3rOyMK5kbMXUko+OCtubl1wmo444sGiGyzEOYB5kK\nJqcsZHiMDZ+K9g0yJsty88blAOzeFPE8+UoXiOPqIvVaBtfz+0mJPfOKdzqYf9FEDF56D6af/QDi\nxATlaeHej2LjmNftNxhS+TymHv5TxLL+e1QwK9RxJXOTqWMYJXAnXZtGpoE9JxJvMrlp3iqbo041\nXfO+cyx3xe8WjFDGxRMnVmJDNIkw1fHgNyfigDBnbUrrYZVxNqecxdUItliIURKW+CNwT2AN1TSZ\n6ADLv42o4zX9vEdRbpYxhkfGOwnm3s3Bm2C5ibBZhtHnMBe4CBJOCozIAwsi7Vv8/yKQGACqOSYJ\njIpFTJloI95RRUsnwJlOo+B0VIlbZfjteY+BJmoa30aPYP5hP0O2LtGm557Qew02RJMIORpGvn8U\nSrOtvx02lCTxxQFMSXsMKzH22x6tPmZTIq6fGyppdJtb3xyKVbsrEdIjmDZwDiy9Y0cxNVafYr/s\nl8YkHirHSxfyophB5UbdzohiwdEsS55mi3Sh5pFxPaqwoSSJsKPjvi+6I0Zbxw5siCbxeZdaAMAT\n3Vdi3PrezezReolbZXj5/HGgViQv/zrk9SFYuXMlQnoEMwbOQcjs2C01OgPOdBoFJ8X9mDq3DOys\nJhkbYTk7Iu7E0aUFLaws2eyOt7TXNSI1YUumjnspnVnHb13JQHs+nuZ6XsqCfqKIFo/cp0rBPpG1\nEPRz26lMDnOTqeXTBhF3Y3uWVF4Gx8X6cAJfHcxAbELvtbh70eHy97Df5h+zahDI4oci5olbpFaa\nLT9+VxS3f3YU0nZaWl5q+uh9FZ9jrdWAqGZhYt0ZEO3wiJKN5aWV86wOYVHZGXm9ZCqsuI7IlVW7\nvSyqu5YMw6RL5sn/R1rHgTTxrOtKqyqYIVWftr3v/NpmuSWWSXusjZ0R3/2xOK7tynuxKOkEllVH\nFp14RfAsi2UBhpWUlyCDI6biPvKVEBDZmzIWzFTSycX+8E8poAm8CcbbUFdmTcksqhb8NqJpoPmK\ndqpTNU4mz1QwL4IFtlM21kcS+LJLPQDg8W4rMWrpUXwbP3PMTkt8xwxKuCKMCA+SPqmhDGM29ZD7\nOBkHqWqOhXUpPNj1K6xzEoi4Bp5On41yrliJDE8a9rfDoa4rY3CoLOvhb5UD6vrZeACEUlQpLWDu\n4DgDeJgiCoWmbVfGc3p4w6Z1GVveJ+KdJETcR7vqM6iWrDLDexFLqmtEZgKbrSRwOgPOdBoFx8nj\n73T5S9gVVCffhuoaHH6zGaa4+UQAsZjSHIASVKlLaU6QoHCIuLSAuyqf9iOD3JQHLlBlWFUQZJBw\nMN1bgGLWVdxQfJr13FJ20oaVYWM9bnsY//P2ocgoqYxNeKigE+C58zdjSzyNsKPhjsWHozzJdrh7\n6RGYfNYGDP/kSER1AgeOdBuKIEvdolhr1uPjCKtYOtr5O6Y5F+b+RtcPPlCD/xqriZHn2kZ4/IEo\nuOVS9f9qZJrn//em3gtKKsr8fhLzru1K0Bb3naso2vnu10JFVojdL/tENI0AWaZ069JFJdzXHpYI\nCbq603lqJIEnK5VaRk5NJVEjRzybtktlbRTIPnlCCdGVqsb+4NViJaho5KuD5a3LxT/qUIRs9ux3\n3xXF7Z8eJV3arsOVGeka954bcCNm6rmbsKk8jTAM3LviGJSXmHhiUy88TL7GmC0no9wyZUKD6uIi\nuob14SQ+Du8CAIw2PsbUxDkgupaDqS4PttYV3EUAf3wdv/PUxomYHs6omUsCkrz/U0lyCNTYytiu\nNJrqUvnjAGuSWeysZ8ZuPMrT43XPCO9SwmuJ2WqwZm52aXPSGXCm43NQ+6VouXPJ4Th7VTke/NtR\nKMm0TFvfEk/j6+8l8ekRDZh23ma5vDRrYNSyo5t1d4V5JtrJmTgequ7T8sG3QGZdPhfXdL8OL1/3\nF8RC/oyCx98fjiGvX4UxS/8D9ZnG3YTtSjS9+c9+2S/tSO5dcQzOXV+BJ5Z2b7ErfFN5Gl91bcDf\nu9bgqT5rAQBlrolx63uh3G36JRym7FnomanA2OTpRY29UJl3xRxc0/06/Pa6v+RkLt2/7BYMfu1K\n3L7oJ50LZ9o51nQaBkeTvT1E8CuRzIHX1NqzLoItSIJ0YFPrGkvjY+sKHnLzUsDNozVC47JA4AB9\nLClmCqITlDkG7ll8BAAgK7oR5ySe5opOCEI2O1a37WEMXfa9nGBBonk0djCgEACe2NobDx7yFcYm\nTkO51ow/vpUPUSwcx5wr58teLup/tKF2FT7nNSkmf3wnhp06Q65ryT2R21Sd5Nx3cuoSeb8WJe0c\nVDq7qEHGot9TSPdetEHGxg7MOy6VzI0IchduhbTtIOuIAGS/G1xlEgUrLeqlq0XZSAt6N+UTWWgv\nWKVc91xWnksq6MbK0xVbJyhzTTzwaTcGLxZABXMjfG388lHXY3BMnpwQ5df2hOoS3P1tN1hlJizB\nUgTcWUTzighqloGnU2fjXuMTjE2fiYoQTxtXCo0GqyyLMbCpcK37GRyiBBKrEg/H8cLVC9DAXdLq\nlVhXXSVr30xacQduPY3hjBNgd1T3pXCRixIU4v+vTmRlORO1sK2YlorfJCpYFyudAGc6jYLTlvLh\n9keRcDYgbEZx7bHjARy4r4fU7uT2xd/H9PM2Y9jy76M0o7Oi2i2QctfEhC19ESpvebDhoG+eQ1X6\nO0SMEF48b2yrupyHufuqW0Uv3HLqk0X1ttrbIsvb75cOLW9vfBDVmXUwtQh+dcokRIps3dHZ5b4v\numN8j1W465/Hosxu2SurnFqYmjq36HMP+ud0VKW2I6KH8OL5jxeNNQJnTjywD24/YwJaE4K3bTTC\nNAAAIABJREFUt6Qz4EynUXBMnvYtgow1wyv0F0wTN0O6/B7ilpMIII5YBurtDdiaZAWdXl/3AG4+\nkDVby9+NnJ+vJaF8hOSUUZdFlYTfU+nXJK0N3o7BiFhKLymm5Rtivon0Y+Eft5NemrewlnRZlKuw\nNPESzcC9y4+GZumA5R1bF9c6YsjvZin7HaZMFzdk8T/ZskG2buC/1TTkumCn8crkViyv/hoAcNNH\nT+C35471ugI3wa75rgX/vx49bxbGvn8bhp7K6t/UcGvJ1DVpFQnrWsZNOIb8/klqPBrsDQAN4aTo\nGJhovPKrsG51vZVBxp3AN97RRTI4PI7NKmUvPp2QvIyNOgWYpV2TXY/NCYYzf/j2Xtxw4tO++AxR\n2E3sJ8J1HKoci99Tggjx3f2FZMEEAoqbstpJk7E3or1CLm6IBIR84iqxN+wchg8nACAWNvDkpj5w\nShhGmaUWdB5UG2SpNdOAxgv7iWKg+VrFGGEWHC6xVfStssJefzxNR2ViK5bv/icA4KYPx+K3P3zU\n/wMUVofvlBP3QQgwvv9s3Lf0Vow5ZxJMvUx2AZeFHkVRR5fKIGMrwM6/u/URNNjrYWgRnH/oo7D0\nMolRhsLkxMKCwWllDFYnwJlOo+C0pYiS+t8r7ckqknYiGX/yKqyPJBDKahj5wVGIOh1PS4/qDJxO\njXfHzDNHtupYZaEYHrtgjqwM2lJpsDdgd/ZzAMDKxJM43rqvVeMpRFrTI2a/tB8R5fQPjZ7c6XAG\ngKxVE7I1jPm8W4vZl/YgPqw5456ij1MeimPcRXMAeAHFLZUGez12caz58LuxOLfrY0WPpxDpDDiz\nT+84QsgAAJPAHByzKKVPBNafD+DPAFbzRX+glOZt8BIp5Zq4sGgML01csDqG5RX+KxX+3TwtG648\nehyWbXkYN5w0FhGzXKaAqp3GRTdxUUxJKNtqcgNpjE0gmgzakGmevGqkiFwnVlg2udN4F1+zpPGX\nsKATdZOlSNrhDDSeJi4somzKxqZYGl/GWLrmlLM34YFPuwPItaQKbbYZZG40y0sbF+fVRAp5idey\nwRAtGWSTPMZ8iKabZklEdg8Pdhyf3/dODP7mOczodwdi4QrmVvICXnLHK+KyeDE0Au//8go2iuaJ\noqEqlUXYRCqvZ0l71yZsRIAsEDdPxGkHjkI6w5kpQ4PNA7cFW6OmibtNMG3NSieoT7G3pS2xhqWJ\n+61jk3rPZjAGJzhfFjZQGjbw8x4T8bdV9+HHJzyKA0tYoYSwoSntG3jWjYjFMTwmyJHMjT/rsZA7\ng+Z5RpqSvA0xA8yJm4eR3FiWwucxVqtmQq81ePCz7nKd12yTt1wQ2BDxGBxTLmNT0fqB6EQW6pMx\nQLJljFdeQjA3utLkEwCMcEiJwcnFGMEYE8PEgn53Y9A/Z2BGvzs895RS4C/nWinfRaymzuk1kwqW\nHsiaHs4AQFQpDVAqi84KBo+NNWqVYFcWOCDEeipaui5ZHsHk6BqRne39WVRFSCfAmX2m4BBCdABT\nAfQHsAnA3wkhf8nTGn0ppfSqvTm2sFGOnxw/CZEi28W3ZwlzKvSEmlLc/U23nPUTeq/BhtIkQraO\ne1cc0ybF/9pa4mYpXj7r/n09DADADw56BCt2jEXP2AiYWhnSaPsWD0Ep1rIq4CX/cwB3g+F0HYBB\nlNIv+bq1AGoBOACylNI9m5LShtJesSZilOOXPYtshNgBJMwNhBNqSzHi21yseeLESqyPJhB2WDXi\n9sjwtCesufB7j2H5lodx5kGjEdKLjzssVFrD4LQXrNmXd9TpAKoopWsBgBDyMoCrAQRBp6CgitI4\n08Alg6N7rRpEDIXQcqOWjgjX7iNck1abbIqpKJmeO9Xkd1kgUGrr/Px5xkgVloGIkuqimBa3IDSl\nBoOrNJcEIHtpaZYhG8gJa0U21uSWiZ3KwCoXJdN587usjYl1p+M+43Pcu7kHyg82lXo6bLqlSwZf\nlguGZyMeq+qZ55coFpPlt+REPQrd0j2ft4yrURmcsPwOKE02+XItHPX84mE21SIlGPSPaahMbUPU\nLMHCcx5ETMYOGL5rnM9KFUt0jUB3ve+A9986sh6O93BreTIVoileoM08CNfGJ8qMh7IwU3ASGcfL\nhhB1iEQ9HKeVDE4RvvECX/KrAZxLKa3hAPUsgDP5OgrgfErpruIHvs+kTbFGI0Q2qSQiw4Zbyxoh\nXswNv5fKQn5siVi6bO4rWGFx/4V0DeHAMi+Lip0/61JYkrnhuFPIwJsQ8TKjSuqvYEeCd6oaiyPi\nXASjoluGbJXwVM3peMD8EmO2MqyRdaH487AplsYXZazq+QRrNcZv7AMzbMj4GoEbZpRhg2jr4qTS\nMoZGjb0BODbmMDimb14zDeghvn+IjVXE9xHTklh88z+mobJ+I6JmFAt/cD9iogK6ymwE6+H4mHse\n3yjmdXElNUT5IyyypwTeZB2vxpqQGN84Y4dw7IFTkMw4MvvOyINNsRBnoFqbRVVkDE57wpp9qeB8\nD8AGZX4jgDMC21AAPyCEfAF2oe6klH6d72CHHcRegl7anO796bqGtzc+iJrsephaGNccOx4VUaYB\nC+VHTIU7KmrqOeCjTsOmODYPZOb3vC7dISQ3ZVwJKBauKfFg3fTeQ6isXYeoZrEXd0mZfJCoaHom\nHsJQBFqYuaKMkgSGbfszKrEDEWLguUOvREwLw1a6ics+T1kbpQAOIKtwZ7evEKEGJiXOQjm1ZGpk\naSgCoAY9sxV43D4T5Ud6WU6+IMOc1HPhIvPo4CBVLAOJwyEPfPiyW3a8isrMd4g2hDH36BtREa1Q\nFBzmvtIiJahMbcOyHV+ya7ZiPF66mDU2lNdT85RIIeJ/EMCjE8DgtLEl32lSjeTbEM8Nyafi3gjr\nmnxZxZTu4erUV8zN8Rd1y9hOjtuiJVJkdkOzL3lK6QfK9h8B+H7w1MWcuB1Im2KNrhGQLG93IJSB\nDGujMu6De/HZlm9gamH8qNuTCBvlPqMJYPePwBJhYIWVaunRwDKRyMC9p6DwXFLF3Ak3ffAIKmvW\nIWqEsOCMe32ZQUQtdMdFPBm3bX0FVZmdCEPHcxVXIKaF4XDXssAYO5WRCRAPuv9AteZi9DFfY3Lm\nXMTgYQl1XJSFowCq0dPpgvHaeSg/wp9wEExAUPvWeQaWP82bKTh+hSbojhq69U+ozOxAVLPwwomD\nETeiICVMedHCJSAcdyoTWzys+XgCXr6ItbqgmpHXFQ4ItxQvIhssLyIfeSpxJ+r6SwJETQ0mT4sX\n6d6yQKCstu76qmID/nTxCH83kUTrXFStyKJqN1izL51shSD8pwAOp5T2AjAFwCvFnqw6sw6bGj7G\n2rp38dq6B4o9TJMy6u1huP73A/Cff74WNanqFu1bWbsOy7Z9gte3fICbPnq8RftWZXfivcx6LE6v\nxm11rze7/WqtFiuM7VhqbsaoyArfuol1Z2Bg6vuYW3OuLGteqIwKfYifWK/hV+Yi1LSw5Xll5ju8\nm1iNN2u/xtD1LzW6nQz6O+AkzPjBmBado9NIccW38r3kv9fEWf4fgFeVeQpgMSHkY0LI/7T6N+xd\n2WtYs6F2lcSZV9fsOdfGXUuG4rrfD8BP/3hNy7GmZh2Wbf8Ur2/+ADd/PL7g/aoyO/Fuai0Wp1YV\njDMfaduw1NiMkdYHOeufTp2Dy7JHYH6iP8pRONbcjWX4kfNn/ML5P9TQlr/EK9Pb8W59Fd6s/RqD\nq+Y2up3sHn7ASZhx1r0tPk+Hl+IL/bUbrNmXDM4mAIcr84eDXQgplNI65ftrhJBphJAu+airrYtf\nAMCs9aN6nY7j+pzpo+3Kt5RicwI4orwnbuo7DrEwoz2FVW4I61xYUgpVLJgc1aIS1pRq5a+tXoUP\nN7NeJHcuGYb5Vy/wD1JQlZoBqvupzYjJLKFTDzgJM85+AEQPQeOMjejBJJgMmknJPlWanUV0RxmQ\nAvpGj8D0Y36JsB4BzWZlXysvpZydq2xrCZAB+hhdMbXiasS0sGRwyh0X83A0cHDwCgd+SoDB0XQd\n63el8ZG9DQAwpvRTvND1J2yd7CmlpH2L7/y3RXeWAAmgX9mxmH7KMOglB3iBf6EI3y+Ehec9hps+\negLTz30YsVA5qM6vkSi0JpicPAHeos6grgEmp/aDbz6N28SmTnIYPJH9UOq48rvNe9mknFwrS7A0\nwbL8VZ99iNWf+xXLFkkeUHlnxWdYuuKzpvYqmDIihFwA4NcAzlYWn00p3UIIOQjAIkLIvyilyws9\n5j6WNsOaBx54ACu/q8fHdDvOO60Xzj+NNXkkJexFK8r1H17WEz8/+TFETAsl3BKXbiiFpYmafmyJ\nmnoOYyMwRrojdILVu6vw4SaGNcMXD8OCINY0IVGLY82BJ2P6eWNBQ+UgvFmtkU2CZhi2uEnWp46m\nGDsVDZcCKaBfAGcAwBX7ZGyJN6U7okAW6K0fgsmxyxGPsuaTmmmAui66AFjoHMvOkSdIWbI0nIER\nx123rQEfZrcAAEaQdzHvoOu9khJW2EvYEPghEjc4jpRsiwENQL/yYzGj73BoZik0zuCQUFRiyoIL\nxuPm9x7C9HMfQSxUDlcJK6Ci47iW+wrVFJzhv4RNxE9UaAWH/+9uyGPtsoGyAl5vMl4c0nGRDYm+\nVo5vG40QRHh5lHfe+0BiAjngiJxxNiuNxOB0JKwh+Soy7g0hhBgAvgVwEYDNAFYAuEH10xFCDgGw\nnVJKCSGnA/hfSulReY5F73ud7eY1zfQ3y0xka/G7f43Gz04ai1goLrNn2krBsTSC//zLdXhn3SL0\nOrgv/nT9X3FgSQXbRrhIeOYFsdMyQ0r47msSOzDo3fsx48zRiFtlIE4GNMvW0TSjwwXwqAoOtbOo\nthMYUjUHU4+4AXGuszal4OxO1+PW6lcxqWwAyih7+IO9WZqTfArOT3b/Douzq9HHPBSvHPILVHCl\nrRAFpwYZDK6cg+k9BiFulvjrUSgKDgBQ3QJVvgMANdi8OC41QnJdVlQL5cpHxqWwle8AlN4wfFvX\nU2KEv1vOqwqO07SC8/LXo7CtYQ0sLYzrj5+AiFHu63MGAA8NOBGUFtLEjN3rTmWuNRwUvdtZvmMS\nQs4E8ACldACfHwnAzRP8dwqAPwIYQCmtamQM9wOop5ROKGTM+1raCmsIIZRSir99sw0DnX/4zkH5\nC2RJnY4RS4bipyeOlYGge0LB+fmfrsVb6xah9yF98Ycf/RUHCayBKzFFxGAQ3j1czNekqnHz+w9j\n+jkPIm6VsnUca0gTCs6uuu8wZNU8PHPkDYjx/lhNKTi7UnUY3vAmnor0R0wLy7gZoeAA/t5zQWlM\nwbl++0tYnPFwJq6FW6TgVNMMBn89A9NOuhkVEdZSIZ+CAxGDJDCmCQVH4I+jh5CUvcT8sVO2Epsl\n1iV51eMEj+HLOrQwBcfJVXAW/nMktjeswWFl5Xj6ktno2bBeXkut+9kghLQ5zgDtG2v2mYIDAISQ\ngfAirWdTSh8jhNwEAJTSmYSQIQAGAbABJADcTin9MM9x6MJPGSMmg4wJkRa7SNfLX6jPn+4twMXU\nSZ4AYsh9xDJD89bVpKpx91u3YGL/KegSict1hlBwRAdxJ+ulmTq8GzbvTuxtkwFxRMdxHsjoeJ3G\nhYIkAEYoM6JBHLUz3vdsxncc6rq5DSy50MaaWAZk6LqXUJnahohuYd4xv0bcKmOK1poFeObYX6HC\nKvXiE0QMkYjXMSz/dyCnmB8xTA9oRAAkb2gI3ZJgI5kbXcwLcDLlNoNeH4KqXZUIGxHMunwuSkPx\nRsFnxFtDsaa6CiE9gnEXzUZ5KJ5TKp+BUFCh8YOQQ9n3e5deh693sFv2zMOuwPAzZrJmrYqC8/O+\nh7cMeKo+anY7/bgzgqBTyEv+CABvAfiF+pwRQqIAdEppHSGkBMCbAB6klL5ZyJjbg7QF1ggF57V/\nbcPFDR8D4M8iAO0wxkR85ByGbfXseUsHXtpqDF9I97ODQsEx9FyFxlQUG7G8Orkbty0ahgn9pyAW\njst1eRUcoby4XoYfDSQ5qBhDeCNRcRyaTvCpYmAF8YcrOLAz8ppI3OHzUBQNXzkM5fw+/OHLhqx6\ngWNNCPOO+29A0zFk9QuYdtyNiGmBNG/TVBQbEbPo3yafUO6OoobpKS3iGnGMyYc/4vq5fJvBrw1G\n5a5KRMwoZg6cg1g4rigqbBeHUty9hOFMWI/iqYtno8Ri7JbjekHlqrEUnE/nKFHUhzVXdrsWf+xx\ns/x9Rq9LWq7gFIAzQPvGmn2al0cpfQ3Aa4FlM5XvzwB4Zm+Pq1iJheN4/or5+3oYe0UqU9uwvJ4p\n3UPWvoiF3W9C3Ihi4fGD9vHIcqVqVyXe3cjo/NsWDcOsJv6jNdVVWLH5PQDAA8tuxVMXz2vVuUM6\nsxqPjffCb/qMa9WxpLSwjgkAUEptQshQAG/Ae8l/o77kAdwHoALAdB6QLVI0uwL4I19mAFjYkZQb\noHNizZwr56OJclWdRnxYs2YBFh4/CC+eMBhA4QbZ3pKqXZV4b6PnOmzsfaDizJh3bsVTl8xt9bkF\n1vQ6uC/GXTQF2PrP1h2wCJwB2hfWtL/CA0VKtwN4KnGAbVGXyRAYEO+7zLBhU8HMaMQL4w6mfuua\nxw6pmTm+bQmUppy8iJ5oz6DpoDyojkgmgk8Fo2OEZLM3WQ5cWGDUld+JK0qFU/+2VClGJaZNWEk5\n0lTDPk1HyaYuQD1wasXxePbcB2GGY75NiKZ51mGgCB9VCh16f4S/8OFNy+/Hytp1iBoRzO//NOKh\nco/JIZpkbILp4b5tuIj4pr5d+2LypVNhaET+t7znH7inACV8214H98X4/lNQamnSAhPvEpeygPK1\n1VUIGxE82X82DrIY1S3+BhcUlAKTL52Dh5bfhjHnTEJZyLPSgqmgLZGWFmqT+zX/kv9vAP+dZ7/V\nAHoXddJOKBoh0iUjY+H4MxULmQhx10aap5AnuOkumBg1Q1MwLyo7k88lpe6vgcLlaOQUcB9JlpM/\na1QzvGxDGbPGnz/q5jA4xOIu4igvW+FkAMfP3KhMsmBwBHMj2skIIaFwDoPjK3QaYJVK1h0A1Ffh\n1IoT8Ox5D8EKYA3gYRoxQ0qGqun9XmXq249oGLR0FCqr1yBiRDD/4smIieMHMUZhjSkfoyz6yacq\n1kzqPwUEyjtCpFG5xIczT10yBfGwKCbq/afi2CPfuo2xPRxrDrA8VlniDaV4+pI5ePjd2/DcZc8g\nFo5L12KxUizOsHG1D6zZpy6qthJCCN24q963LF+zZjXuNPjXBasOq/uTfMsURUjdxtvfU6JI8BpT\n1+tdEqyIGVBU2P55tm1s/zwWDclXdbORSpyFSnW6FoPeGYnp5z/GlA95styHIu+DEqySGVCC+v/+\nGizfxHzA13W7Gi9e8bx/22AQcbD+jXLO3ekaDH19CKZc+gzi4bhPuVCVFgCS+p908RSUheK+baBs\ne/X/XooPeJDnld2uxazLmaWmXtXGHq1ghvj3u5S2iDq2137e7HbGUb0LPuZ+KUyEi2px5Xf44SZm\nVNIEq9Rr9vgBAGB77DhkAm5LMS9eWKoSk1/BAV/G49uocB9lxUCUlzZX6EUlY+rkuruDWKEZOQaB\nWlldGk+iEq6MHfRc3TKeULrUHW/e9bvWpcIj3GBW2HP75FFGgq7p6kwdw5rzxjKsyYcn8jfSxt3W\nQojmMwT7/+5qLN/EOn3/qNuVWHjFXN/5xRhd4tUlCrQCk/hfy7Fm8qVTJX54dZG8IdSnqzF88TA8\nfTFzMarvE2Fki/vnspcuwfsca67qdh1mXv6CotgELgOlOCDKy3N8+Ae5PHT+z1vsoioEZ4D2jTX7\nMk18v3RgiYfK8dKlz/iVmzaUKO++2+/g3pjWf2KrjjX6ndHYnvgON/71V6huJqVWUP+xcLzp8fFs\nmd4H98WEi/ZyNVpNa/6zX/ZLJ5F4KIaXLp22d7DmotbFzd/7zmh8l9iOX//txiaxRoQzNIczgJeZ\n1/uQvpjQfy9iTSE4086xplEXFSHkjgL2r1dpp30pB5pNlMgvltJvcj/azLEpQIEhrw/Byt1ViJoR\nzL1yHuLhOEB00EZKdBVCqBXr3tjbXF1rVPrnr16IYW8w1qUsHEfQYVZg03AAQNXOlTIGZ9gbQ7Aw\nb0qtV4m0MVGZsIVXzMbgN2/FtEueRjxcDj93E5BWsmU5h2sFddwepaNhjUYAmmIZRiLTSDy4FSEt\nb9YeAJm5l3WpZGc8tsZjcAx+L8kgYZGQIJgRzQA0zoYoLMOQN4aiclcVImYE866YwwL9lbF5P0D3\nKn4HGCCHUji8qq5h8tRxixfcVJMkJEsjkiQU1iboUhfb8OUu0YBAZpKPdQksy8egCGmKOReMWb6a\nmirzMuuq+bj1zaEMayJxCK+GCz+TIt1gShFXj91n3yp3e/F+ty8aivlXL5TbirrARNleE6ishhZw\nNkzny14cMB2Dl9yOZy6ZjHi4BCBuXnebvCa86KS4R4uVzoAzTcXg3AlgRhPrCYCbAbQL0GmvUqkE\nuA59fQgWXLNwH49oz8iwN1imUtSMYvYVc5ki1wqJh+OYf3XbXCvhF+/XtS+euXRqmxwzHo7jxata\nF4BctHQC4AnIfqxpA6ncVYXlHGuGvDEML145Zx+PqO1l6OtDsHLXSokzFa3EGaBtsUYwu/269sWU\nS9smZj0ejuHFy2d7SuDekk6AM00pOAsopQ82tTNP42oXoldv9C9Q/5zgH0W0XO00GPSqbhMs/692\nAw/GfAT2F/Ri3679MOXSZ0ApY2CCsR/SahDz+dYBuHPxUKzaXYWIEcHUAXNQztMLBUegGmtBpked\na6xTQKHkUJBB+ea7lVixhWUF9HquJ045uC+evoSlWQvRCME9bw3DmmpmZU6+9HlU8PU5MU3E85+q\n64YvGopVuyoRNVnKdzxS4d9POZcY47wrnseQN4YxtsUqZTEF+YKylXmoQdpunm2U/QctHYWVNWsR\nNSJYcOEERqXni5dqbL6l0oT11kGlY2ENITK41mnwx/7pddugmSxw1uIsRZTXbLJNLzBVPH+yPIW4\nf+20x9iIWlki9kaIZucEwMIAIjzVuW/XfpgyYBpcXpuFiIQBjlEuiMQGR3QqVwLpxfehbwzBqt1V\niBoRzBg4BwdE2bOm64Y8vUiqEOcgri2fjZwYICVNvTEGh2q6PL+sGyNrUzn4186VMvYtH85oCjCN\nfGsYVjeCNcHkEhVrxLrhi4b4sKYL//0qAxOMs5x3uYc1LFiZeudSr0dj10jBHcmKSYyiGPTOKKys\nWc2SLy6amOu2I5q8liIQvmjpBDjTqIpGKb2ruZ0L2ebfXeZdMQfXHX8d/vbTv7Wa1QAgK5i+vW4R\nRiwZ1gYjbBsJc5aEQMPu1E4sXb8Io96+NWe7NdVV+Gjzu3hn3SKMfOuWFp9n1a5KvL/pXSxeuwi3\nLSrs98fDcSy8en6bXP98srJmLZZvWYE3NizFoOV7vn0E5cpzU5+OJPuxpm3khctn4brjr8Nff9I2\nWLOKY81b6xbhjnaCNREeL6MTQ+LMXUvyl6ZYvY+w5sWr5u1BrFntYc2y0XvkHEIKwZn2jjXNqmiE\nkAoAvwRwlLI9pZS2/I7Zg0K3rALg+aR9ZaYDDSFhWLILrtwuX7pxIHXZly4o9msklRAaAKIhHo5L\nt5QaTR+MrA92DHYo9fnFxTpTYw/4yQf1xehzJmF3mmcqKOmCAPP/e52x/cdWmZ1gmmmhPSCDWWp3\nnTkdX2w7AzXpnQCAUjOGW05/ElvqM17qPiHQCLMyexzYB/f8YKIcvx5gcHRCZKq/rlhLluHVenj8\nwskyQyWYpg9Qr4svl8FvDEXl7lWIGGHMHzAd8VAsfwwB/NkgXiyBl25PFKu0hMdTndrlBMzoNRSk\nZisreCZMz2Bmm+t4JQCKkXYOKsVKR8EawEsPtxu4lZxinR50JyOr2lJZVZvd8xpncizd8ipvC3ZQ\nsDTZlJcFFYy9kdhkeBlKFl9GKeKhGBZevQBpl8WNeM9SsCu5K5/zIP7YSiVdi2NNz4P64oFzn0aN\neFaVQqfBZ1QjpldCg//G4LNJKIUdPL/INMs6clmwoq9DgfH9Z2Pk27fg/Q1voz5bwy69TbEjYfPz\ne8+8wYsAnnxQX9z3w0lI8pMSQhuNoSGESqs/zLGmzyF9MemS/K7tvOU5XAeDF90q46HmD5iJeDjW\nNDssmRzaJKsse/FVnICZvYZCq96cMyZazvrs2MnWxeB0Bpwp5Be8CuBIAF8C+BjAJ/yzX/aBPHXx\nbAw45ho8d/mffO6ffS1lVgzHH8DKF5SaMcy+4h2UWbn1Kh457zlcfPQ1mHFZceOffOnzuOK4a/Hb\n6/5SUAaCKpW7V2H5xvfw5tolGLykkLjWwmThOQ/i+sMvwBsXTPR1Zt5jQkjzn44p+7GmHclTF8/G\nwGOuxdyrXmk3WFMeiuOp/vNw4oEMa7pX9MSYc/IrH49fOAsXH30NZl9RHNZMGzgHV3a7Fn/6ccsZ\nscpdq7B80/sca25v8bkbkwUXjMf1R16M18+fsOexphCcaedY02wdHELIp5TSvntpPEUJIYQm/vSU\nf6Gmy2JSsmWAMi/bB4iCU3LqtQ6Qpb1lqW6vR4nX5DHQTsBQlgtfKJ8KnzJjV+BfFvQ7u4oFw/+j\njO2V6pa9SGQPJK9FgJjPyiwC77xiXrI7Acqm0MqoeuC+1jSCRLYGL3w1Ejee8jjKLK/fl2yVIdti\naHJ/0TJDlK5XW2ZYhsf8qPvrWm4Ze9kyQx6XyGUat4iv+v21eHPtEvQ7uBdeu3I+Z3D8bTC8FhqO\n8j23qJksVR8saqa0xQjW/wjOC4lee3uL6lNktq9rdjvr4CPbbW2KxqS9Y42og7N89U70+YAFkDZs\n+g4AED/1NLZNKAwtXCK/AwDh82o7APFdYIS02pUYHNFiIaeIpW6Acpew7Mkmjm1GcrKwZQx8AAAg\nAElEQVS4BFsh2RKXyrYB+fBHfE9l/cyjeDbzMTgavHmVcQXysbP+sahjy7pUYZPEuP34VZPOYnvD\nbjzz8Z34n95PyDYHQgTelIVEDzB/WwxdI3K8+Qq+inWiaWXE9BdlbDYLynVw1R9/jDfXLka/g3vh\n1asWIh6KNRrDJ/eT6/zMjReLwxkoJwO3lvWAdWoYYy6wiWgazGN6AgDql/5FXpPy/3qoxXVwCsEZ\noH1jTSFRRC8SQn4D4K8AZG/6fB2996XUr2GNxdQmkLrFwEM0e9R40zvNMD3FJtiYTamsSQJdvH1N\nH3X+9Jm835NQdGS1YgM0EEyqBhAHgSVYDCzj0LxNHgHgyQ+GY0PtKoSMCAb1nYISM+aBkuxR4uZ0\nsVa7WztB+jegYDUnXg8udWpg4JFPYlsNsNtIyHWvVN6L7xJrETIiuPGUpxELxZXGpWybkGxs6vXm\nCQUboCrVXxsbpsZByLee/w/zB8zE4CW3Y9p5YxHXw76eYLJfj+j3lU3DFU1OeUVQT8HJ+BqfimUA\npKLj2lm4GQZMokmgk+FKkOsW3NQ0n8ieOJ1POgTW6BrgpNj/neUuquyWtQAAzQqDRLiCw/FDE/MC\nR6wwdL4Mwp3FFRXYWZAsv+/4vSQNM7GtbuS4OKRQF4KYF49ASmCLkqbupa6DL/OwRuBOIutg8t/v\nwIba1QgZEdxz1nSUWjGYupbTw88zYjTPbSUrL/uVIVWJyGfEBXsvCdwTDSkTWQeJbBj/1WsqajMO\najNpiV8vfz0KO5NrYelhDD31GZSYsRwFR60k7Slf3hhFP0L5OwJucEPzEhgaq73xwmWzMOTNoZh2\n4ThUaAxr8laZD6TQw21C+eHb0lQDXF5gUhSaFIqOnUhJRThdXZd/cAVKZ8CZQlxUKQDjAXwIjzL+\neE8OqrPL8EVDcd3vB+Dnr1yLmnTThefyyaa61fh654f4bNvbmP35PXtghG0r3yXWYnXNCnyzcyle\n/nrUPhuHSLeMh3JdZx1KRBZfU5+OKfuxpg1l+KKhuOq3l+Lnf7oWNc0UuGxMNtatxj93fIBPt76F\nyR/f2cYjbHv5LrEGlbs/wj93LMWcL/YdNsbDMbw4cGbHxppCcKadY00hKtodAI6llO7Y04NpjdSt\n3wbACyTWTcNjbDiDoyvzRpgHwIUt31SyNqEINGFxcXeEJlwMobCkndW0cACAy2lk1/bo54BU7arE\nhzzVccSSWzB1wDwfcwMIK8Xfy0bMaxob+5Hlp+Dq7g/ju0QGyQxbJ6YZ20VCfHf8TE7GdhplboLL\n84mueZ3W8zM5gGXosLiV5Djs2naNnozzDh2DzdVJRCx2ncQ0bAjrio0xZGjS4sq6ou+OCBz3AsgF\ntSweM0exsnJECRr2ytGLMvScieHFsWg6BVd858F6rmBy0kkvTZhb8mJqpxjx4GZtOAqDMwLLsQrV\niFADkxJno8zJX+ixIGnnoNIK6RBYoxGCbANjWWz+v9eu2QIAMMIWzBKe6cMxxYhy5ldhdkjAjaW6\ntdxgcKjYj+OJygCIp5Qo8+LOF1lAAHDn4mGYfOk8AEDaoZLpFZjizbtI2x7uaIRhzVGxU/DTEx/F\nlvo0TE1r1P2sK20o5DrF7cy28b6rjDPAWJug210wSnUczxoytsS5+hR7xgTWCaz5XmlPXHXcQ/iu\nIY0IxxHB2pRaRk4XdzW5oZS/J3QxXsKusiExD01LYwHEgi2mrse8NdVD0PEYXwCybICbbPAwiU/t\nBMOjIVv+hLXb6hAhJp7O/BAxhJoZbBPSCXCmkF9QCSC5J05OCBlACPkXIaSSEDKikW0m8/VfEEL6\nFHLcUaEP8RPrNfwneR01HtPdbiSiZAKNveDpgvaZ+vc78MCyH+Gx936BX/Uci76HXIZbT5uPqLln\nype3pQw48nEcF7sEP+v+HMJG+x/vnpDVpAYfadvwjr4Jo8Iftu5gRVpVrXneCtm3DaTDYc1I8wP8\nLPQ6fuH8H2po+8IaUYOr18F98UQL2olM//Qu3Lf0R3jyo//Er3qORb+ul2H4afMRNds/GzHwyCfQ\n44ABuPHk5xHpANjY1rLarcZ72Q1YnFmNEVjeuoO1gsFpL1hTCIOTAPA5IeRteH7xVqduEkJ0AFMB\n9AewCcDfCSF/oZR+o2xzGYDjKKXdCCFnAJgO4Mx8x6vbtBsAoJsaqr6/Ex9bbP7O5BJM2Xk2AI/J\nMcIhaV2ZJcyC8uaZlmxEs3BlyrCLIavmoTK9A1HdwoLTRqJCBC4HuoHD5VM1kIyLCOieNnAObl80\nDI9dOBkhoxxZJbBP9TPXZ7zv62tX4Zud7MVI/vEIfnL8JKSzQD1nDIQFk8x6TE4y47duBINj264M\nLna5lSTmvZ51jTM4hBAvY1VYa6IxoLByDA3f1I/DttS7oMiiInQCttWmYekpRCxdWlVRzuCUhtl1\ny/Jp1NVlcLRLc9kOwlNfg4GMXsFDxZYNNjB1HSU9PBBAzNN/3USdtI5ogMmxE0lpwQdjMVQmx4u9\nsWEe4AJh4OR0DKM3HI+69O5Grm7z0lSZ9sakNc9bIfu2kXQIrNEJkf/zalRjhc4Cje9ML8GMdH/J\n6hgcU7S6Bj7PU8nDFvQQL8LHGRxXiQEcvHoBKhNbELUimN/7DnSJFFfj8NnL5mL44mF47ILJiIXi\nkhnJJzLexXawsXY1vt3FsGYBx5pEBqhOsHveMjSFqRVxcYIJIV4wcoDdEdhgakSyOzIBQknAEAyS\nWFafZs+RYGvqUrZcJjDulXXXI2XvgKaZ+OlxL6K63oLDm4UG2eK07aKejzvMxy3wyNS1HObJY3C8\nWJxIPoaYC8kXOAyACA8AdfMUQeSJCK7rJSGIZbzchMAot6EOboLdS6LQZKaW3WMhRwM0oKddgYcb\n+iBNi4/DKQZngPaFNYX8glf4R7KhyvfWyOkAqiilawGAEPIygKsBqD/kKgDzAIBS+hEhJE4IOYRS\nuq2pA4e5knFyJo6Hqvt4TUBaIZXJbVhetxIAMOjLqXj5nIeLPlYsHMe0gS8AAFIFBptaOrPGjoqd\ngp+dNFY+A/+35j7sSq6FRsIYeOQTANpNwVc02OuR4fGh21N/x/vbH8H5hz7RomM899nd2NawBiEj\ngvt/OBOleVLPO4JM2HUaxsQ+xYM7e6HE1eA01buqOSkuNbPY560rgKML2LctpMNhTYQr3z2dLhib\nOhMIt36wlYktWF7Dhjboq2n47Q8fKeo4oqFjym7ZJQzxjKwjynv6sObPVWOwM8mSBX5+0sR2xZCk\n7B2w0QC4wB9X34gbT1jU4mNM++QubK1fjRIrivt++Cxi4QP2wEj3rExxzsPd2WV4NHEqyonV/A5N\nSfEp4O0GawpRcP5BKfUF+hFCrizmZAH5HoANyvxGAGcUsM33AeSATsM2psHqlo77d3bHE92BMZt6\nwHAySEbYy8Tg7IATzkjGRljZwXnqujD4k60BiPC4j34lR+GZ7r+Wlr5ML5fN4ly5f2Mi2jWI74CX\nAp5WfOEqm/PfvZ/GrM9H4KcnjkU2G0FNglmJ2xrWYEuClQp5de396FfBwDCZcZDmzI3Nj+PwcziO\nC1dkVjlivP608eYYHGGNEeF7FxacyE7QNVDXe8BKtW7oFrkT22sZg1MWZtcrmdX57/dnejlhNt1Y\ntword30EABj/we0Y8YPnoBMiffjCOvSuZxMPpdJyQaZecitPMjdKE0XZULGBZSoIP3emtiGHsQky\nOnYqA5tbnHbShgHgkQ0nAsigIevCyez1Qn/FPm/fA3BYAfu2hXQIrNEIgZ1k//NTtWfg3tJP8Gjy\nNJRSAhuZnJMLkHVkwVHv/8sXiRXR2LPRL3Ycpvcc3MTPKk7U8Lp89tVNfaZg7pf34NrujyCkl6Em\nzZiHrfWrsZljzQtf3YMBRzwpGRxDYXSC7E4O22NoOdlLKdtjmZMBxrk6wc4v2On6VBZ1/NkS2xB+\nlTWEcM5BM7GlJolkluFPkC1Ohp0cVifquFhfWyWx5vH3b8O4i+ay8RMRe+Py36PJzKpQ8FHMk+ad\nk/adTXrvh3xsjSg5IddxjM54cYKSTRZZfHwabXDx5M5eALLIWK1sCVN8DE67wZpCFJxnCSG/opR+\nBQCEkBsADAdL5WyNFGpWBN9YefdL7WZ/sGbpMADcV9MNuuUgCQdGiv1Mkys4RsSGWeIpMgBgBp50\nFYRMTcecrtdjmPE3TD3iBsRgeXVQgjdqEz2IBLC41PsR4rQyyE5Stf50TaAUP+4+Ca7DqNq6tEgv\nZA9x3DwRPcruRg0HAzvrIJsWio0rl4l5V/SgsQMKjlAUmggyJgrFLBUcEayne/PHGCPxJW6CixQ0\ntxTJVBZZkg2kqftvQV2hflm9DWZNHhU7BTf1Gcfr+2jyejk8AFl4sdRrLCVfLyiVEga8/zPruaxo\nIIBPKDHZhpQHLAlvGZtyBSdpI6soOACkUuNkXbitUHCKLI9e7PO2N6VDYI2aJl5mG3i6+gwQXQOF\nC6o50kXVlIi7nkjXrleB/YUTbsbgyjmY0etWxPVogUPPlcb63AG5io1a3TxslOPmvtMkxohnNcRj\nBw8O98DpB45GfdpGXQ17XtRkA4snDOQoOLo3HwqsE4pK2nalIuMpOOx6CheVnXUU3GJjPsWajs8y\n/4UojsaK7x7HSdExSGZY76gyjvsRHjycyDiIR/20vk6IrHx8bEUv/Kb3OGlgCmPKEON3KEzurhLr\nfE+k5+f3zctAcDsrDSoPhzxlhgaVnrS/JIXbUItsPcOmTJ2YJuQ0XctLXgSLlbVQWtGGod1gTSEK\nzvUAfk8I+Q8APwQrpX5xG5x7E4DDlfnDwbS1prb5Pl+WI/O2scVEJ+hdVo5+XSraYIiexPUIFhzz\n/9r0mG0h5xzyKD78bixOLr8bplaGNOzmd9pLYpBShNEVdfgStfgMK5MTcFL0gRYd48ZTnsbv/zUa\nN57yOOZ99Qg2169CiVmCR89/DmUdNAXz87oafFZdU/T+VMu1+5ctW4Zly5Y1tVuxz9tGMCdvc/u2\nhbR7rHnggQewtTaFyIrPcOYRXdE3VtoGw/NL3CjBiycOhWa2H3czAFxx1Di8sf4BnHvoGGTt4hWv\nPSFhrStKyfGopV8CNrAy8SROjTzaomP8+pTJ+N9vRmPYqeMx76tHsD2xGiE9inEXzu6QWPPxd7vw\n8XcsRKDrAw+0eP98OAN0LKxptpIxABBCjgfzja8DcB2lNFHsCZVjGgC+BXARgM0AVgC4IU8g0lBK\n6WWEkDMBTKKU5gT+EULoa8ew0t06782imzo0Tj96zA2bWiWm/G6WMAbEKovyeWalWOVRWGUMYMxy\ntk4vYaWxtdI4SAnzP+tlvENtlHf1DvGqpVYJ3BADP9di+yd5unfSpkja4jtPgeTWUo0IpMs4qE0x\n66hWrOPsTHUii5ok+17HtxHWTZpvm007sAXVy5cJ1sbOONI1JS2hAHMTrHCsiqYRydyITt+64poC\nAMPSoekEq4wxqNM+QRTdcbI1HgYpxWr3KaToJugkjLMOfhiWViZdVrEIm8ajJmLcyirnFUmfWvEz\nGWh9wZFX4ZHzn5fVSiP8/N6UyAqkWobdrlqaBeSRTAO0NA8cTjBFw6ljdUIod0e59dVwGliAXrZW\nWEfcWqpNSDZHWE4qcwMAmYas/C6YHFcyOA6cjGdCD1z9eYsqjDYkmk80KolGfMdszfNWyL5tJe0Z\na0Ql4y8316B0PGvwKP5/nScwEF1TCouy+1cGG8skB8tLIY8EylWUlEEr5ZgSxJgIwx9qRWTlYpdn\nSsH05rMQKdh+t3dKBhJ7aeL1IhGBsxVN4U4+lqU+5WESACRSnoFFmnBVGYF1giVK216BUnGsjIJp\nAMMowThJvDF1/DN9D6rpCpSS49HDGo9wqBzfJscjDYY153V9FJZehljUQpzjjMAYgTulloFSS8e9\nS6/D1zsY1lx45NV49ILnUcYZoIhJfDgDAGFR5dhOg2TZPUEy7DnVAvM0WQeXY0sOW5PN5rqtAkVF\n7doapHYy3EpXM0wT88md9UjsSPLdPYw5662lLa5kXAjOAO0baxplcAghXwUWdQFj4j7iD/opxZxQ\nCKXUJoQMBfAGmCt6NqX0G0LITXz9TErpq4SQywghVQAaAPxXa865X/a+HGmPwCZrKo7GbTAIU/iS\nzkbUuF8AAD7b9RjOOHBsQccK8UDrbhW9MOIHEwvaZ8jrQ1C141+ImBEsuGhixy68xcUtwCgJSmue\nt8b2baOfsx9r9kubyPHWvajKTsBx5h15sWbFjrE455DHCjqWwJruXXrjngKwZsjrQ1C5q5I18r1k\n8r8tzgDtC2uaclG1RXBfk0IpfQ3Aa4FlMwPzQws5lrCWqcM0a9ehMnnKEdo1n2Z1Ir/rJtOSZUqv\nktrr8HgMQwTiinQ915XOQ7GMBOM8mhCqdAqXHcNFbScZQ+L1qwq2XMg4LjJKUB4AZERAccZjZkTM\njcrcACywWKwTjI1ji5ikgE84j7iaLru264Yhf5NPMpzFQQmOtkeyc+jCF82s1lLtBJxcPgIZW/k9\njhd0LAOPeazy0FOnYtbnI3Dr6RMQNWJw1KrmgXgD4d6t3FWJdze9DwAY9M5IvHTpNL6h/z8VImNy\nHEe2UxD3gSjc52Rteb9IVoZPBVvjZBw44voH1rkZP4PTUik2rag1z1u+fdtQOhTWEOLFXIl7xOUB\nqBoAyu9zl7fmEJyGDDbWNRl7I9YJdoc6jrwHSSBNmAQKyLVGgi8vFXfkMtFVPFDZznGpDLwVcS1q\ngdCkYF44q1PPn2M1Ti9YXkKOy3FlMkSas0MCt8SzTQiBYYkyHR4hYZBSdNPHgNoUNhzoBpGFCmPG\nCTj9wMKrqN9++jQ898UIDD99gnRPuRCxTCQn1m/l7iq8u5EVVRy85G68OGB67v+lYI7EWVHUMU+a\nuGjVQUXLGMHgNKTk/SfSwzO1bJt0TVrG4CR5XGqx0pr0xfaCNY0qOCJNa7/sl7aQddrTyDiboSGE\n46zhWO8+i+7RO2FqhXfELbFiuPX0GbLSaCES5RR+v0P6YPr5hVlve1om/2AjNpalELI13Lnk8OZ3\nCEhTVaY7ouzHmv3SlrLanYgU3QgjGUa30HCsd57FyeUjYOktw5ox58wqeHsVZ6Zd8HiLx7wnZNLp\n67GpnOHMGUW06ugMONOUi6rZzr6FbLO3RFgexPGmgrkQU6pMxXchTTU/zFnnOjkdob2NW29dASwG\npjGKUL3xGrsJqUu9Yn55MqRy0sIDzE2Q2Wh8nMySEnaYPK7mP39K24gG/AMAsNaeiZ5lD+Udf77f\nIwv+FfHAzb1yHoa+ejOm9Z+IOC8OmPc/Cvi9gZbdEzTPPdbY/bexPIV/HMr88lPP3QTMb9lv6gS4\n45OOhjUA4HB2QYir8jSc6ROtYoJMjioCgOX95Cv0FmAA8mCO2qKhGHHyYIyAxiBzI9e71GvtQgXL\nI9KuvQzJYBHRNI8bzKYdmW0pmRx+Ltd2YfNYRRF7Izt3i5R0MzeMRI0hTGEj6vAl4ABrMjNx6gH+\nYGOdkJzWMrLZJlGX5f35/vNxpnjulfMw9PUhmHbhk6ggOvzp4oLuUf7XIEuTUbKq1HgcAK7C3AAs\nFtCL/ePLeAxgpiGLTD3bb1Msha8OZgzPb/76m8Z/TCPSGXCmKVP4xDy+8aB0fEfjftkrovGeKFF0\nx3HmHW167AeX3YINtasQMaKYNvB5xEJxuS4ejuPFK55nMzzIeF9LyGZAfdz2MAYvPQzvobZF+3cC\n3AnKfqzZL20mOoQL/Hh0j+wBrKlZhagVxdRLn0fE7AKA4cyCaxayhIZ2gjNhmymd3XdG8eyVz+J3\n+F2L9u8MONOkglPA/u0nJzkgTdUAIEoMTlHSSPpcW4vWSCVJvSnTQt0/sJ2mtDOQvmuuppM8vynI\n4ohGpkSJwZHrGjmXGMfR7j3YoE3xBRvnk3y/rbHrIGRdzSp8svU9AMA9b92C6bxKdFFS5H9LAnFe\nTW1z19tHYMrZGzF46WEozbT8fJ3BsgpIh8IaDUTGU+kiUw+iHpMra1STHJaP16NS6uSI7CtfPa0g\nixqo2QRKW8QUe+1LxHxhLGluA10v4ynYlNcx2DRq6TnrPJaY3euO7cqMKMHqiPgc6lIZH2jwAn2a\nmDaBeyIblGgEJ1hjUJmZgJNKWemMQvGyMdEV/Flb7ceauVctYONu6pkULJvvPw60aOBxNiq7YyeC\nxUNZbA2rwyWyOBmDk67ldbwcCquURZ8+9O1JGKdV4u5vuiEe9oy+QqUz4EynicExQ/zlq3tp4l7K\nOAchJYVcbCdeOrLzuFJtlAQqj4oXPNtQ9y8TRZH4dNDb92Bl7TpEzAjmXr3Ad4MRQkCICJhjy0Ss\nnXg/ahqR34NAo1KsAnQyguIVgbGOJgFWN8QDyq9DnqeRulz5kd3QHcAAdlY8i6yxBYRaOGjnLdBo\nCYimN1vJWDM0eV6iEZgow/HmfXI8ulLVNPjbxLy3zLsmYl5cL0K85qU9D2JNBUlzJcaVJnHy/wsq\nbLpyjwTuA03T5P1COPio9x0AOJYDnQe8i8B3ITHHwuhlR7E46CKa/eZzK3Rk6WhYQ4inrOQ4jTKA\nxoPiRVC6LlxVYC9zDabc3wtqF/N5goxFTzxxDkW5GfT2PVhZvRpRqxQvDJyJcjOSU+AvnzR2DznU\n68EkHc/8LSGC/i1Dy1VwpKKjI2oFlgWK8lGXKi4ldvB0KovtZdOR0TdDoyEcXH0bDORvBaEphUaD\nousaTCuGntZDiIi+dpYoPJhrTOTDGM9dFTDaQHyNkp+4aEpupTq1OF5QCVX+z6DyKqoXO2mvh52d\nZAqNWh0dYIHFIqhYJNeIdxxgyPfcQSUWxm/sAxQeeuSTzoAzHb8fehvKqOjf8RPrNfzKXNTqzsAr\nq1dj+ab38ebaJRj6+pA2GuHel6yxBenwN0hFvsDOLs/t6+HklccvmoWBx16LuVe94nNPNSY3L78P\nF7xxEy5fcguqM+2DTm6JUNr8Z7+0XxkV+hA/1v8Pv9TfbBuc2fIR3li3BIOX3N5GI9w3kjU2Ix36\nGsnwZ9gRm7Gvh5NXxl00GwOPvRYvXvuXZrHm5uX34aK//RJXLB6G6kzxTS/3lRSCM+0da4prF9oO\nRRTuExa0ZulSq5VF/bhGr1uaV/xPFuEysdaoxwptOwDgbncpXrB+zNfxyyRYG8P0XDR8GixrrUbV\nTx3wTLPj1wK9WUzNS6W0AmyHZWgyPVOmiQv62BaBeFRSwkII8SwKNxC4J3pTeb2oRHdgVkAslDkW\nB9cPhm6Zvl5UkrHJCQTUJEsjqGZDMGm6Jn+LKNkufo/6G8V3tQuxOJdqwZWH4ph86bzci9qIVNas\nxbLtnwIAbtYm4eWz7pf/p+gtRjVd/u86L9gm3Alu2JLlBMT94wUXi9YfuY8W4enDmk5kCnkx0hmo\n444sGoGSpMDZCV24f10QJz+7oJnsPlpj1OEjjbW4ust+B7Oil3tsoWF5jKHJ7i15b/LlVGEgVZx5\npv8ktrwF94e4lwTbwtgbgWUCL/xMjuPSHAZZDTp2XNH7yc/kSNaG6koPPH5Mx4XOO5WG7ePw/cww\nieVNiUhqkFhjabACfaYsiTFeT6rGAqjziWxLQ1gD02cGzENY4h7kOt8PAseZray12s0fPIqXzxzD\ntlXY4mDPQieVka4oydzwvmfZhL/vFACYJeyeEkVt9YwjvRKh8iLoYUU6A840+y8TQm4hhLRt34N2\nKhHKnuBeOBATQhe16ljzL56M67pdjf+77g9F+T/bixxSMxwlybNwaPX90Gn7Kh1fjAx6+x58tYt1\nhe9dcTxm9Gs+CPHW6ldxxY4FuCH551Zb3G0hrI5S05+OKP8uWBPhFbp64SBMiLQOZ164ZCp+dOwV\nHGc6dhz2oQ23ozRzNo5seAg62r4Fxt6W1bWsZ2S5WYInTr2toH1urX4VV9f+Fj+r++M+x5pCcKa9\nY00hDM4hAP5OCPkUwPMA3qDt8FcJbVXGhFh6DqujMjlmCdve4K0ZzJIwnsFFGKm9jyetC9ElUibL\npxMr7J+alrT0ZexGIAYnFqqQ2TvBcECNeJq/HvD3Cv+3qWuykVuY+45Fd1hfs8qwv2mckLTCAAnr\nRhTM0g1X+sVlKrPppVmqUyCOIzMjfbEiRGnV4BXsym3ZIIpxCeZGMDkhS5cN8Er5+IMdfyOWLn+3\n7ByuiynJuW7iejaZ2kk0rKxZg90ZlrV0ROmh8qUgu8Kb3n9OssxyWuVW470sA6s77bfxbOQSaXmN\nCn2I1VotwhUET1Wfjgj4/koxN53/Jtl009RguMWTp067e/raTDoE1hDiFXYU/62YN8KG15Ihwtsv\nhNnDY0YZfswMD8RdzlI8Fe2PA8sq+DY8cEfTPEzh9z0CbDF0XTLG8UgFXrxspmzdUKg0VoJCIwQe\ncZKfyXGM3CBj2XpB12TAsWiEK5iTjNLY17F1+R0AiGYCqMBxGA2txB/f15SIbVSMEecLssMCYyIK\ngxNkiTXixT4KEfF+HsZ424h4PxEvRVxbsjhHlB6GjYltqM02YMTHk/Dbc1hpDGqYIJzNE+8UEWS8\nyq3G+w5rgXan+xaeCw0EdV2MwHJUWbsRoQYmRs9Aqc7uKcEk6/zd4JgajIj3Tjhh1ivNXsPGpDPg\nTLMMDqV0NIDuYIBzI4BKQshYQsixe3hse11iCOG50EDESOuovX9nWYdJ+JbchW/paNi0/cW3RPmL\n4NQDTsLzHHCa3UdjgNFbPwQTSy7xrVut1WKFsR3LQtswpvzTth1sI+JS2uynI8q/C9bESAizS69A\nTGuZUrJfPFlDJ+Jrege+sUe2S5wBgDKLsVCnHnASZvxgTEH7CKzpY3TFk9aFcvlqUoMVxnYsNTdj\ndPTjth9sHikEZ9o71hRkRlJKXULIVgDbwBIHKsC6/i6mlN61JwdYqDzVdw3WRyr89tMAACAASURB\nVJIIuzoeXdUDpXo4p9mmmGfN7rhVVRL2TY2omI9AD3FWKMRYHsnaGCb7KMuocMIKJkfz/ORCVIOE\nBJZJ5kawFZorLRBxE2WFtdiEc1T4xhOGhmSGZ1jpIu2SMzlZ1yvCJ5gc2hiDkys+BicQe5O2N6Oe\nspIma9yJ6FHyYI5PPGrp0qoq5c0yPUbHkNuGA3E60z+5ExvrVqPEjGL8RazDr/SBB8boM/6U/+SF\nAdMwZPEdmHHGSMRD5SBZXgZd/W/B46z4/z73+zdg2JY/YWJ8IOLa/2fvzcOkqM798c+pqq5eZulh\nEVfEDRcURFDjDqhsoiaamHuT3703+f6SqIAiioriBm6AiOzgggqoGE3uzb3JN4kKRBR3Ma5RL8Ow\n78owM8wwM91ddb5/nKVOLd3TM9M9S2fe5+mnuqpOVZ3aPnXez7tFkNScInSxQ0zz7m91x/TUhTBL\n2XXTzIR87kRIsZhnZRzavlRDZ5DOgDX3r52Ajf3+joilY8bugSi1QzCLnMKaspBmRLDEEbkOYGyN\nKOor2mpRZv4lZkRq9dLnj2v74jn2+vu51xFQziCkCw9Xv0mO743D1ohHU+eRnrYM9eQtqMrSuKcp\nxT9H18T7y9aJd/ugkoRUiKkwwpIVyaB+N9bvZDhDmVJ1VvRheQzBAnvZ4RIFW0RfIvy8xVQnwPyP\nJ2HHwU0oNmOYesnT6K714Ov8yQCFXyDhUVAswR87txeHzcLYdx7Ak+fdgzKzBEgx3xmi6441oJEv\nU7Bm/I7fY16PK1HC8VsLGSiqCwMWM2s+pl0Cg7NcGk8GKHz/tFAK4W4tDJvySCHgTJMDHELILQD+\nA8B+AEsB3E4pTRJCNADlADoE6OwobcSnMVZRdeYpGzFn/9k+qlg4+blBiE29gGPEoiAK6ADOQ6iZ\nEWnKgMbzWOh8mumt5EKIO3MmoLwwOsGMdydic/VGGFoUk36wGGGDaQIWzRDm6HNIthAz2cDmkKgq\nrtS0aqqKeKY0G0SDL0xcgFLoUBRIstov5xw2BSHN9IVpRk09EHQABwRjIV0ObMRAZ1ftJnz13fsA\ngIffnYjHL1+mmKgcR8BMUhaOY+XwBSCpBlAAhDsDi/up8Xttp5Ig3AzVrbgnXuz7G6duDACNh5c/\nTcZgUuMazNQuRrwsLB0D9YYEbA4+OncSFOGf1KJdTsYB0lmwZkvVRvy9hKW+f9T8BnP2n6MMXsJS\nWcqEMVJ58mJMpAgkzP5rEe7zZnCsUbHFYxJvicx471Zsrd6IsB7D5POXoNiMg5H6HudiMc8nIY3A\n8lQBV6fe3DgWf48ERoVNXeKMMGkL/NAU5cmLbaqYqRiQAMpCp+EHve5Bjxi7tlFTR0k4GFOkghXS\n5YBG4JA0f2sEu2s3S5yZ9f5tmD+S5dUSfsmGTqRJTvMOAxTgLAuX4uXL5oAk0/vSSNyJxAAA3bUj\nsTL2G7YrPvjRD9XjudKfYsJ3f8TcklEoShDpaCyyGwtTlVlShHC33PgvFQLOZMPgdAdwLaV0q7qQ\na1p5L5KXrUS55/4ZDXFM/X6AX6XPg9yw/nGU1+1GzAjjhUtnoywcnLehubKtpgJf7GMv2OJP7sBN\nZy/JyX7bQs4ofgDf1s3CgPjkZtWZykbCOgOB03qchfsvnpvTfXtl7DfPoLx2B6K6iWW9/z+UGbHA\ndnESxtLIFa7kbfmWQshPkUY6BdZEQuxZOKMhjmmVA9vkmDd8/BjKa3dJrImHgp/H5sh2BWfmfTwJ\n91yYfe2l9paB8an4qmYmzu45BWaucYbnujmt51mYckF+cQbgWFO3A1EtjOXH/wLxAM+RMi2C5+M/\nAgCk0DbOx4WAM00OcCilD2RY93VLDkoI6Q7gFQB9AGwB8FNKqa8aGCFkC4AaMKo6SSk9N90+5ycv\nxj2N6/Fo47ko7WZCM0MyaZ9IyiY0Kj1kONpVNOxaJzR4Ei2SWpWkj/kom4QZjVxetwtv7/sUADD2\n3Wl4+bI5bqdjD50gtRRQhbnhU55oL2JoiHHwOrn7QNx+3hPQiJu50YnjZOt1lqsXbE3YlsxNccRT\njTxlSS2rUVTstik+r5qButQ26CSCM+NT0w5QVI1KamUyYV8UR5fNhGkojnz8JGNK2GbUY7aSTsYh\nx0Ew5ln20NCnMfO9WzHtkvnoFunmvn7CAZD3y5Xsz2c+1B1KnzNw0izAnQXLG/Zi3UEWbXWT9nu8\ndMpYeW8NTYdmMs1JPluepFxGMoXbG9ZgE6lGJK5jfvISlNiMQbQTSV94aHMk17iTzftICOkNYAWA\nXmDs9dOU0vl83VQAvwbwHW9+N6X0teb2o7NgzbwRz2LK4gvxaOO5KOvOsEFgjR4xJWMszN0+jInE\nHLO3F2PMiIIzok0U5bW7ZGqDse9Ow8qRHqWHP+OUQkn0x6ZePwlCmCk8ygftp/ZgOONL8JeGybEo\nkXhlBjA5Qcn/1PlP9k/HweRW6CSCc3o86Mo2bCgJPoV4TV5MIji67HFp4o4pbI1kbvg6gU0CR0Ia\ncTE2apuQpuHhIc9gxnu3YtqQeSgNl8k2YqoT4pjAneyF/BLZ/mVynb/OHzEjDGtqONbs+D1eOpnV\njaIcY0Kc0TM4o2M0NkrzZ5I/U7fWvYFNqEJMC+O50mtz4t+Vj/FNW2NNeyX6uwvAKkrpyQDW8Pkg\noQCGUkrPygQ4AFBKTSyouwCl1MxxV9NLTHccVpdcNC1n+50+bCmG9bkaMy/9HaeN20bqUttQmfwM\n3yU+wFc1M9vsuNlKiRnHw0OfQ0k4/9ckZjAAGVxyAhad+IsW7WMTqcYHZA/W6jtxd+i9nPXNpk3/\nminZvI9JALdSSk8HcB6A8YSQU/k6CuAJ/p6e1ZLBTR4l91gTLsPCQxe1Ldbw5zGXWPPwkGcw9Nir\nMfvy/2xTnKlVcOazAx2j8rYqJeE4Hhn2HEqzSBqaC4nxiKjBpSdi8am/btE+NqEKH2AP/mZvxcTq\nv+akX9ngTEfHmvZK9Hc1gCH8/3IAa5EeeLIyNkUPYxq9TKeva9IHx5uwTQsZTmkG6V/jCQU3I75l\nqpZFdRMvDpmOGz98FEsunIqyaHfe26Zt46xUA/svlCaRaZtSDd2j3fDE8OU4xP001PBE1tbyaR6C\nAUkobE29x/dGZW18WhalKKopQmUS6Bnph8uOmYqwHg3sv7uMQrC9PGxoPr8gNfGWYHWkn41nPmzo\niIXcPjiOBqa5tClxTdVpoKj3RvhOGW4ti3C/pZfOux83fDwLS/qPQ5yKtiE5JQnB4HA7eYRNbZ6e\n306mUPQ980caqPXC3JLRiKZ4okDLzlipvCnJg2bV5PtIKd0DYA//X0sI+QbA0QC+5U3awCjcIsk5\n1hAA4R48vYAs0SHwxIDOff1Ufz7AjTGE+9cEYYwMHeZJ/KgRwovDZuHG9x7GkosfRDza3c9KZsAb\nGQgg5sF8/brHyjD90ucBAElP4kK4tnAzOSEK2JrADf/77y2/YnowqsiMYX8COCzSDyOPc+OMWh7B\niylGAHPs9a8pMg2JFwIjDA9bE9I1Xxs1yEP8N+Rx2TElA0/8DwppRm0wEo5K3xuaTODFc+/B2E/n\nYsnACSjTo06F8RSvL8V9/wSjQ8IN0odLPGNFCYY1Z4WOxKI+/wozDXY3R/JkoWpTrGkvBudwSule\n/n8vWP6LIKEAVhNC1hNCftM2XcteyswSvHzpEznzvWlvubz3dBxfMhxXHPskwnpu7dqdTcrMYrw8\n6E6UhVrusPd08RhcbZ6M3xVdizjJXUiwRWmTv2ZKtu8jAIAQchyAswB8qCy+mRDyOSHkWUJIR8ps\nWRhYEy7Fy5fPLQisGdF7Bk4oHY4rj3sSYb3zn09rpcwsxsvnTMkJ1vzhsJ+jLAeDGyA7nOnoWJM3\nBocQsgrAEQGr7lFnKKWUiMqTfrmQUrqbEHIYgFWEkG8ppeuCGsZ6eRickOH89yTlI6GQjEyQjI0I\nDxYalWEq0VNuLYvqpgwnlkyAJ5pq7JrbUV61CVEjimU/fAFlkTJXMjpdMjZsKrQERw/QEBOH8CS1\nixgaGjgr8/xHk7CrtgIhLYqbz16IYpMBRtK2kYxQ+R9w2JpEEINjUwAR/LL7AtfyIAnywQmK5nJC\nKZ0EfWJe/A/L5H1utiakEV8UVUjT8MDbE7CteiNioRjmjXgWUcPti5Mx4Z/wu9ENaQ+Xmhdncqhs\nqkMTZTj4syKn4YiMcKARpm0JRkcXWlcyiSPsEryMX8JOuUM57WSqVQxOUO6J9e+9g/Xvv5N2mxy9\njyCEFAP4PYBbKJUJSJYAEEmFHgIwG8CvMpxCTqWtsUYjBOEy9jFSWWGAMTiy1ILAGC87rEZKKT5/\noo1I2kdDPB+XD2NCAMcZEA1jV9/GsCYUw/NXrUAsxDBA+vl5/f0oYMPBEiYqS+NLTQoAWPwJwxpT\ni2Lc4AUoCsWd95ZPi8OG/OgJ5liIgzVRnHjYItey5lT8VlkimQw0AFtUxgZQsYYEYhIAmAbzb3zg\nrQnYWr0RESOKhaOeRzxcFpiSIivmRuAOZ+QIdfx0vL5/NJUEeIJRYvPnQHx3OMbQxgbQBsbqGPw7\ndEQsipfxS8AIQSvKzaAxXY6bzoQ1eRvgUEqHp1tHCNlLCDmCUrqHEHIkgH1p9rGbT78jhPwBwLkA\nAkFnxp/WiZ3jolP6YEj/9s0NVn6gAut2Mr+Lm14bjxd/9FJejrOrtgJff/8BAGDpZ5MxbnD7RFz9\n14Z78f2hzTD1KH7ebw5MIz9K/NaqjVi/510AwJQ3b8FTV6zIy3HyKeu+3Yp3vt3S4u2DxkZnnXcR\nzjrvIjn/1By3D1Uu3kdCSAjAfwJ4kVIqU6RSSvcpbZYC+FO255ILaUusmTp1KqoOJWB+9S4u7Nsb\nQ05v/xyEKtbc/Pp4PHvlC3k5joo1z352Fyac0z5Y8/tv78H+hi0I6VFcP3A+YqHc+w9tqd6I9bsZ\nztz9twlYPLrz4czbX/wv3vtgaou3T6eDdSasaS8fnD8C+AWAmXzqyydNCIkB0CmlBwkhRQBGAEjr\nXffAb65zL9B0XzkFoVnBMJ1U2ULL8iZ6U8sxcAc/qUEZISX/DdfqdXcyrqgsgjfIV2xTJ07yLOph\nboTbogaAELctW2hbDSlbaiNFIab59e3GIiHCvM82pUhaIuqB7TOlzIvRuZdi9CbgSieaR+OqSWzF\n5pqPAQB/3vQAbjlnibR9Sz8jwagREmj7VucjCgMky1hoREaYDeg1CDMum+/3BcrE3BCRc0Nz7lea\ntiAaiIiwEr43XOumyQQQEXZyj72c575BKoFx5c+jvH4voloIy0/6NeK8BtFlF3fHZRefIw858/+m\n14aCJA/ZQ7N5HwmAZwF8TSmd61l3pBggALgGwJe57mArJKdYM3XqVGzdX4ueb/BIJ4EfIhmfUixT\nssSC0VEip3yRUpytoUYYNMSfM/78gT+rgh2GZkjcAYAofydEYV/HHw3uKecnCVF8XXhX3UyOl9Vh\nEuNRV327nYlJ581GsRlCkuNFMgBbhHgxJahNNiKY7OrENlRUfQQAePnrKRg/eInL38bvX+P3twnr\nbubH8SVk/8W59u81CNMvnQ/AuY6s1A4RJ8emgpFRGR3xjZAOlkpbuR11b2+EQUyeL4tjC0nx+y+Y\nHLNBYpFggCTW6GG8cNbtKAsVYejFF2DE+T+W3Zk2rXnO6XnKUtymWNNeA5wZAF4lhPwKPFQMAAgh\nRwF4hlI6Bozi+i/+shoAXqKUvpFuh3oPzogplVqJp6aLnDdCILr47wYhCSaa4STt420l4GiGmy4G\nHMqYL19xxbMYt/pWLB4xD6W82Kb49hJCZJZQKiMzPY6AihnL4iGZFnfsC2mazEo6+/Jn8dA7E3HX\n+XNQEo7LAcsj70zE9poKhI0o7rnwSRSbcVflYO/DG1R3xNtGC3DgFQOKYtMZaN15/hOIR8K+elvS\nSVqpJSUBRp6/G2jEf7GfBaOewz1vTsCsyxcgHi7z0fAS3P2n4wxeNOex9542UQdDohq7aB/i2ULD\nKcDiAxsBVGKAI0JAU0mUJyudUPMdv8PKM29zDmS3PNFfshUh5mkkm/fxQgD/BuALQsinfDsRojmT\nEDIQ7HJuBnBDrjvYCsk51hAC6HGW3RZeBUnTfcoTvCarUCjQkRhgChP1KFTiGHLe41C84oqlGLd6\nIhZfPhdxswQpvtxvmuLvEwWgiRjyoIGOSMwnzEBs3cPDnsHM927F7efNQRE3g8364DbsqKlAxIji\n/oufRokZT688KfjjLGv6I+rFnRLTGWjdcd4TKDZNF36lU57kwEcPCpJwtlVxZsal81HGU1KoVz1d\nLAPVDef+UP5MUPdghlLbGQjJEPKUM2+Lb4p4XnhSSIE5IRPgJk0aY/dh4zcHJNaML38evz0/bcaF\nrCUPOAO0MdaQDljLrtlCCKGN77zCZnI4wEErBjhUM2RfbN7GiVhypzYXy3xtBFDw50ydFwMcS2pQ\nblC58S9X4fN9jLYecuzVuP/ipXkd4NQmqjF//e2YeM5sFJtx6BrJywBHHNMBKLbO8PoCKW00DgxQ\nC+IJQLHYVIAHEcvtlPNfDFqElmWnH+DcsH42SxComUjZSazZ/wUGl56Ev54zFXFdcTRWBjjhi/4F\nlNI0kOkWQgh9u+L7JttdcmLPrPfZJdkJIYRSSrGtsha9PuBmoBwNcNCKAY4qVA8hxT/FCf5SJ4Tv\nneVM02MLlf596QYflu2su+WNH0qcGXrs1XhwyHN5H+DUJqox9+NJmHD24zK8PdcDHLaOLZNZ2nkb\nU3f8A7UUy39F+BR2SrIzvkGMwtakG+AQld1R8QpwMCeVBGwLN3zyBMprtiNqhBnWfP85zo73xWtD\nn0AZr4Ol9xsqrwshJOc4A3RsrGkvBifnovc4EoAyUAGQrtI3JZqyTJiK3GYMKAMcqiaI4/uhugds\nPI6AIMRXtkG8qBRUMjfiwyxcrcRLxQZB7L8tHZI5k0MpbP5fJvMKuQFLaDmn9xyER4bNR2nYDEz8\n5bWzZktLekHnyJJeWDByhWu9w4K72xKFnRLrVPoXYMDjYdFdgxfiASGvc7HaP8c0xR2JNcPH8Ij7\nD4vfYxoCFQDjCSWndsoBKA/VXF6/F2/vZ6zp1cdcgp8cexme+sFkVotGGdS0JtFfRy9wV+iiAdA4\ngxM0iFHNVYBfeQLR3OZuQGrr1AhLZ3aJKd4BDbXTDnIItaVzvMZBRQ0PB8Q7I14UP5MTc8qJuyQI\nN4oVnHl02AKUhh3Tr52mmhENMFFl8rnXPad6OA7D3OFun5h0gyrAb/7WCYEhCrMHlMzxDnq8+BOU\nikKaDDVDYgNNm/AvKBmgKbdRlSy2kF9Tix+DM8nlh/bg7UqBNUPwk2Mvx1Pn3YU4Z5xaK4WAMwUz\nwOkStzx22bOYuu4WTL14HorbIDFelzBRq5U/f8H9bGDTjBwZ2UghpFDvksKQ6cOW4qF3JmLaJfPa\nLDFelzBxYc2FD0isyRU6FALOFIyJKrkjIJO7V8sJqsbrYXLUbRzmRvO01fz7CtiP1NKIh22hVD6E\nTlp16p4PWif6Rf0ZJIPaCPGOxIPueEsLq6WL7iSuNn4GR5P/3etkKGZAGzVM02nH/tzyxnhsrCxH\nLBTDc1cuQ/doN+dW8PMnqp3b69wXpG0pGtfYNyej/EAFYqEoXhg+n4EJ4NtPVWMNxr59D568+CFJ\nE0tJM9AJHdOvWdTxa9/ubbLdqFMP77C0cWcVYaLaeaAOR+xk0UQygEEyMSHFlO02kbtM3B5W2GWO\nylQ1XHYmzTpCJJuQ5I+mapoCmIko6TWNZ/EdcGMKm0rnXpmmwf/IBTEB6Y6m4lCmyHFvOQq5XNlz\nulPSCQk0ewOskKZ3mYo1E14fj4oDbpxh63gb28pomgLgChP3Tsetvh0bqjcjZkQYzoTj/v3w9lWN\nNRj39j1YcvFDafMjGUf2lf+ba6LKBmeAjo01XQxOBhn75mSUV21CLBTFipGLpLPZP5Pc8+bN2FK1\nEZFQDHOGP9thtbSNleV4dweLRprw+k05D8svr9qEdbtZrqmxa+/GyyMWBrYrC5fi5eEL3CCWYykE\n6rhL3OJgTQwrRj+Nssg/H+s65c2bsfmAgzVlkY6HNRUH8oszG7w4M3Jx2rYs+eO8nB5flULAmYIZ\n4NixgMFHCzQgVWsqr96KdbuYpjZ27RSsvGpZk/vxMTpq0wCfFBG6KX2BlPaONuMeHKusW9o2/p4G\nbNO0bK+pwEc8H8S0tydiaZY5NjJpX0GrvO2D7NxqG+9aET4+6IjBPFTWfwypJatOfuAadNBgRLnO\nUc7GDD78LCwasQA0nCbrqLC/Z1jXWglyCO+SthONACTGBiBOsIHCxHh9Z7wsjRJpI5apWDNuzW1Y\nOeZZx5cjE44FiWAKOAcqXgWnlqbzcggXnFCG7PdBDLBgOYQPoXDAzZSwLwh3VCzbVp0d1rjwz7fO\nfzyvlUINhPcGKzAfHPc6orQtMgXODML8kY6SQ3I0GIjxaNTBvQZi0chFsCMBzIyCX4G4lSMpBJwp\nmAGOFc39aD8aZg/boCMGY+HoJbB5dENzxfvwu803mTZs9oqci3BWHnzEIDw1eiFKQh2SicSKq5Zh\n/Os3YdHIhUz7Va459Y52iA6KYEfKdLLshy/gptfGY+GoRSiNlKElQd7jXxuP8spyxEJRLLtqeYs1\n1ELQrDqzEALYEWai9Jqj2AAnTeCBGqTgMV9HxYftiEFYNGI+i870mDay7h83xeocr3TF7A0AsCmI\nqLeUxf6CrA+GZ2Cg1m9q6mPvex+5lISzwxp1wOczUSnmf2eZZ/tABZGJGuGpwXP9qYblVzKcWTBy\nUesYpjSK8PIrlmLcmtuwePhcxIt6MVcFOMElgDDRu4MzvCKwpiRcjJU/XtmivhYCzhSMD86h+vqc\n77eqoUp+1FrzMOdqdN8eUtVQpQwcOh5lnI2kA9S2lhErR+Cd7Sw57rWnXCvp7Vg02izb+O+/2Nlk\nu58MOLrD2sU7qwgfnD3VdehZtwNA7gY41fUH2Hs2Yj66Cd+tTAOcDD44QoRCJnxvZEoKm/qYj0wS\nBF/5GOAIvG0Ka9Tt23SAI32jiO+4atusfHDSCCWa8yxxX6qWDHBUrLmu33V49bpXm+2Dkw3OAB0b\nawqGwTnY6NepM1WW9plEAExcdRMqKssRDUXx7JhliEfKZNrzxpTtc3YV27n3q5if0h1eecB9D3sa\nhzJXXwPNKWn209SyJqQ7gJdHLGD9qT/QvI3TgnCAk7dHAh3B5TxJbxrMsN/mOF7b1E9tq+sybQcA\nt626iTsjRvHkaPYsmRqLehjYaxBmDJsf+MxmI4VAHXdm0QDYnHEJzFHjMUl5P1A2BW7+63hUVJYj\nZsawdMwydI+WYdnVL4IAsLyZiL1101Qn+QwiBhpiECI+QUQ1UWXxWVIDHwA2iJFOuWKfFq+flEw6\n4c0ZO+fJ7gugB4CXRy5iyzJhTWCQSEBwSFB7wI0fxLsNlSdKvOehZjlXBjtisyYlk/O4TFdigPLn\nx8mJln6AqgGYtPomVBzY6MKaEm5CP/uos/H0VU9n0Tm/FALONNO4W9hSUVmO93a+gzVbVmHiqpvb\nuztd0oml4kA53ufP0qTV7Fl6cvTzuKrvNXj12j8i3go2zKa0yV+XdGwRWLN68xuY+MZN7d2dLunE\nUnFgow9rVv54Ja7rdx1W/fuqVpnCOzvWFAyDU5PgafSbya6oIzzTYFlFz+T1Rxr4EFbzbkOcfXvD\nlQVBSqDUexESGCaYIVw5KEFUuu0zHcOzrsllWciN7zyA8uqtiBoRvDj0seCXKFOYfpBWpW5DtMDw\n/LFrJqH8wCZEQ1GsGP0MymSYpodGDji+eBkDQ/A9WqrK4HhD74PYHW8bU2fPUv9eg/DgkLmoTVjQ\n9VLMHbEcgPO8tkSyrRfWJfkRQoh0MpdZh/nza9nUCb1OuTVw8cxYFIhwrBnYaxAeu3Q+GlIO2yIS\n9DmMMXuOdRGSTtKkPvD2U/ji8ASDQSHczTtvsV/LyfzNmRuRyZvYKblOMjnZOEmnwSYHZ6J4cdgs\nFg4dwOCorAhJhy2ebdTtXAliiYaxa25HedVmxIwolo95lke1CedtBydIAEfgDTTJpuK4mu3eUsL5\nAX8ov2WrGfBpINYcX1qGV697tcnjZuxTAeBMF4OjyMKRz+HKk67Bymv+iHgHDYfuKFJevRVv71mP\n13e8g7HvTm274/LKyW9sWYNxq2/N2Hb8a+MxYuUI/Oh3P0RVQ1Ub9ZDJ/JHP4YoTr8ELV/93zkPr\nkzyPSaZfl3RsWZwjNq/QxcGZdRj7zgNtd9wDm7Bu53t4fesajFs9MWNbgTM//N2P2hxnAGDuiGfz\ngjXZ4ExHx5qCYXBqE8xOHczSiGVULlcTygGMbQkbccwbyTTshpQt96V722oB6buF6i7qHxFHm1f1\nh/Gv34TyynJEjQhWjH4G3cI8YZxHEyNWSmFuAmzwau0SILA6rc/ZTQi10xZ7zLaEQIywR+fs7qfi\nqUG3QqurZCu85TGU/2o1b+fmBJTI4G2CSmTEdKYxD+51JpZcOlNqqU5b55jlleVYx3NW3PTaeCy7\n+kUAjIER2pF4PcW8LefdGjfbzs8AOdq5aMOmOinFY5ctwwNvT8CWqo2IGlFMv3SpBKDWULuFkGG0\nM4tGAItnkU3IKtqO1u2tK+c8U87zUxSKY/GoFSCEIGmLpbzIrgdvnASXnOVR6rwR/h7quoJD/H0f\n/9o4lB+oQNSIYsWYpa0PEhA4ZCVAOGMDTw03YiWAlIfdaca+XaLpiBHGbJzd/TQ8dc4d0BoOBjMw\nYoGKLXI/6f31iIdtETUEY9zBl+HM4yB2SmFmqKvsi4oz49+Y4MuNkylik3qeFZaEkS9TGBv3PHWx\nOtFQXGLNtuqNiBhR/PHnv2v1/S4EnOlicNpYyis3Yt2Od7NiIPIlN3w4EptGLwAAIABJREFUA8NW\n34Qxa29HVeJgi/bx0gUP4Ce9h+H1YXOcrL5tIC8Mn48fn3Ql/nLNKyzLZwaJKrlxFoxc1Bbd88nW\nqo34ZM+7eGfHajy4LrMmmK3YNm3y1xwhhHQnhKwihGwghLxBCAlERkLIFkLIF4SQTwkhHzV3+y5p\nWyk/UMGxZjXGrcrNs9ccueHDGRi2ahzG/O22luPMRdPwk2Mvw+uXL2gHnLmK4UwTSRejvGDq4CMG\nYeGo9sEZgGHNx7vfxbrtq3H9n65v9f6ywZmOjjXtwuAQQq4DMBXAqQDOoZT+PU27UQDmgmVjW0op\nnZlun98fYlqDWqxRMjCeNOJB67zVZVVNyknrzaYWddqJ1ODS34bfcE33aBFgbIt8GXoNxJLLZvur\nWstCa5av6JpkZCzLb3v3Vre2LdhJrkF5qtNuqKzA25VfAQD6/eln+PLihSgLFfHts4vsKdF0rDx9\nAlDXAKuuwV+xnV0EPuXrQqZc7i1ASFQNCmAV3AMKmZYZMbw8fAFrZzlRDkS0oY7de/lV7pwV6TQg\ntsw9T2n6dTZ1a1NqG7Xon00pDF5B/NQeAzHhnMdxoD7J1zVxgTNIHqIb7gKwilL6GCFkMp+/K6Ad\nBTCUUlrZwu3bXPKBNQRAPa+43eDxs1GfLZrmGVOLRxJP+I27SK3D2LA+8uU29Sehk8whYPD3Jmoo\nWHPpYyDJFqbSEKyy8LOxkoCImhK4JfxuUo2giQYAwIbKTbIYZL//+akLZzKKgiWlAF4eeDvQkITd\nUOlaDwBE97Ajmu7gjmjjYXCI5mCLL4RfN0CNCMpCRVgpsggL/BUYwzZgy+wUVlzxDMatvg0LRy1C\niRl3VUtPJ17mWGX9vAxgUFmNIFYnrPiQtjRySpU8RVG1Kda0Sx4cQsipYMztUwAmBYEOIUQH8L8A\nLgewE8DHAH5GKf0moC195XMWs+/UDyESBLymppCuyYGQt9KsOu+tKqvOG54BkTeTZ2AopZ1CVUMV\nxr1+M5ZcNosxEIpzHgCXg54cxKTcNDCsJChfRj2DGMr3R1NJh/YV63jbq798HG9UfSmv37XdB+Ol\nvp4Rv21h/OaXUN6wF1HdxPIT/n+UGTF+cf2DGC+IQNOVAY3b1ESMkL8KM28bWNOHL3PV8tE9y7zh\nusr2KQkMbJqyqQIeYp03FDP9ACdpUST5NU1aYj9sXmBb0rJhUaA2UY2F62/HuMGzEDVKeRvqAo9/\nOTP7PBKEELrgvU1Ntrv5ghOas89vAQyhlO4lhBwBYC2l9NSAdpsBnE0p3d+S7dtDcok1Ig9O5cFD\nOMQfnHrfAMdReuQz5vlShA0Npu4ZtKjZzX2mKSYCW0IB2XbVeYFNNbV7MW7VRCwZNgNl4ThIkg08\nsgkxd523HMwIh+KkYxpONrJpY71cZ/MBztXrH8LrlZ/L/VzbfTBeOmUsm1EUqfGbXmA4o5lYfvIN\nEmeIBzckfqiDmiDc0byDHo/yZYT8eCOcxfUQaIgpJdKBXGBVUC1CjkMi51DKzk55UUO+gTQDHA/+\nOAMd6nu2GlI2DiaqMev9W/GHnwUnEW1uHpxscAbo2FjTLiYqSum3lNINTTQ7F8BGSukWSmkSwG8B\n/DD/vcuvlEXKsPLK55o0r+RTVpxyAw4PsY/t4KLjsOjEXwS2K2/Yi3W1G/FG9dcYv2VlW3axYKTY\njOPO859GsZm7+23xAVqmXzPlcEqpqKy3F8DhadpRAKsJIesJIb9pwfZtLv/0WHPVsnbDmhWn34zD\nQ+zYg4uPz4wzB8vxRvU/ML5ieVt2saCkxIzjwSHP5SwhazY409GxpiM7GR8NYLsyvwPAD9I1PlDP\nGA3J4GhEYVeIXCbmQ5yWCWlseOyfJwhzTUGwOw+tm4At1RsRM2KYN5IXnhRKBhVOfmyeUup3dlND\nuG2/SYpN+fJUwhduKahfmkw4/1OCGnYzOiqDI9vw+VLbwt9Puh037/w9Fhx5LUrr6mHbtZ6uWojY\nrP+DwkdjfvdRsKrZYDqjGUpXtC1vpWWVwRHsDl8n2hCTaU8kZMr/0gyncybKgBOCKfurODADgTVa\nqMvExJYFMTcA05ZSHi2p0bLkfFKus2V777ywT6uaF8Bs262hf1sAKiCErAJwRMCqe9QZSiklhKQ7\nwIWU0t2EkMMArCKEfEspXdeM7TuqNAtrNOIwN3VJ55kA2D32snpiPmKo+iQP/ZYY4VyyqW87OPPE\n8GfRjZehUR3ZZcg2XyZZHrWjaZgakmrIKj1EkPkJYHhiNwr84XgjsSkpWenSlIXPBkzF+E0rsPDY\nnyGeSIEmalgbhcFRcWbBYVfB5jgTiCnqFMHMsY9V5gwMCQmsMX1me5mCw3SO600i6AQyaNJsHiSp\nJt5Pt4nbvU2w+YnNq8+T99lqSOW+JlVLcAboWFiTtwFOhpOcQin9Uxa76HAguaV6I9bzYnBT3rwF\nC0d1Xm2jTI/ihWP/3XnRA+T5I6/DzXv/BwsO/yHKeK6FLml/CQKeik8/RMVnH6bdhlI6PN06Qshe\nQsgRlNI9hJAjAexLs4/dfPodIeQPAM4BsA5AVtvnSwoNa1ScuW/tLVg4uhPjjBHDiyf8is2kgqOq\nlh31L7h59x+w4MhrunCmA0m6AU5nwpq8DXAynWSWshNAb2W+N5hmFSi/W/w4AGZnPHHgD3Dy4POk\nfdqU7IzD5ET4MsPD3AgtK2RrcuQc4Y6rYf7ynXHYIDw0ZB4s23ESlGHj0tfY6z6oCLV9Yd1EYW4A\nrjUJjUloR40Oa6OyOa42ktFJME0JipYlfHEsG3YyJf+7uqbMRywLz4RHA1UJNCABTbF9E92tOYl5\nLWTIeaFBEY8GRQ3Tx9hAMDriuigMlGR1XAf0aFViOy2AueFTNbmfGpbJpmydYFtSNkWjdCRl00bB\nzli2XCbb83UNfGorOSJkKDGf3/DJB9j46Qe+fmYriQBtrXf/c9C7/zlyfvXyBc3Z5R8B/ALATD79\nb28DQkgMgE4pPUgIKQIwAsC0bLfPp7Ql1kydOhV1DQnUJm2cff5FOH4gI3pU3ysvmyd8ANXUAEI7\nD3kYCF1z48y0oXOV1ANsSimVBTBFYlEqj4H0taCU5cTr1+dqJ3z2GP7Yin8NkAZ/VNzx+gfyeZtP\nrYYE7IRz3CiAZ0uuAmpTSKDKjy2SyXFP1XVy3jBdOMOWCQabY41ty2AKkuJJEMW4yggBlvD1E+y6\nSF3BrwuMrJw7vAMENQWFL0jB5R/I2yk+f0Awgyxw6JhSfyHotWvXYu3atU13NI0E4QzQubCmI5io\n0jknrQfQlxByHIBdAP4FwM/S7eTyX04A4Djd5UNmXLoUD66biAeHzMt58raOIhNrXsPGVCViJISn\niq9AnNdP6sgydu0UbKjZgpgRwYornm5X/6Zs5MSzfoDjzjxXzq9ZsbBZ27eUOs4gMwC8Sgj5FYAt\nAH4KAISQowA8QykdA8aQ/BfPrmsAeIlS+kam7TugtBprpk6din3VddhTxz5+3x9qRq6XLEXgzCPD\n/jlw5pn4VSjTY+3dpaxk7Nq7saF6C2KhGFaMfhJxo1d7dymtDB06FEOHDpXz06ZNS984QPKAM0Ab\nY017hYlfA2A+gJ4A/kwI+ZRSOlo9SUppihByE4DXwUzLzwZFUAmprGVAI6MKNALT0FzLxHzU1OWo\nOMT9OgSjI7SscMC9jRileGTocwgbmlPZlWtSgtuQKfuDOqlqUMIfxxMKrvrieJkbW5mX6/hU0L+y\nbSoptSTB1lgJJ5RcMDVinZANDfvwAXYDAG458Bc8pY9w+qxoTppHy1KZG4BpVrrJtaMQ65tmsjaa\nEQLCPFJBaJKCpeFaCglHfEqS9P0hmuOrRDSUV1Vg3Z6PAQDj1kzCyiuWBvofSCYHijaVxhenMWX7\nmBs5n7IcdkeyOm6/i/qEJTUgARTqfGvAI9fAw0MxLw9YvgvAGP5/E4CBzdm+I0g+sKY+RVHdwJ4/\nMVWZPK/PlRdb1HUhjU3l62QBUSOO6cOeRzTEWGRBUojtCSGO742Insp0ETKVaFH8auQqr3+N18+v\nsd5haRTmBmA+OF7GOAiHyhPf432bRb5OOPBnLI1c4doGCGBnAhgcnbM1EltCKeg2ZzMsgaXuKU0l\nHeZYLFP8e5zkf+7yMVQ3saFqE9btZmlZxq25HS9dvcLVR/XV9PrZJRXWOF2kVMpO78MVxCCLZd9+\nn8K/nnk0cin5GOC0Nda0ywCHUvoHAH8IWC5Pks//FcBfs9nn/jr3AMfUNTmgCfOpmE+kbNdgB3Dq\nbjgPnv8YMp+OpYSQS9rYPc0oAXWmiCcPDk00SBOT7TVRJRpAG+rcyzioWA3O1JLbc2BRzFJeE5WY\nhg0CGMAAqwceaTwXCRwKPAVNoY0na+9gs1aDCAws1ocjTsIgugadD3oE+Agw0iMmdEERG24HaFUE\n1GkSfNi5krAGWE7F5ijPKjv4sAFYfOmsJh0ob199EzZWsoyfsy9nzuLSRKWAi3dgc4g7lDambDSm\n2H8xwKnnmbTFICaRsuX/RmUZwExWHWmAU8iSD6ypT9mobmTvz4EG9vyqz424zwJjgpKhCXyJCATm\nj79GHJOWyZWnEIQ5SvRVMU1RxzQltm9SghzwVWxJeVJPZGOGUtJUCGyRU4k/Dh5FKHt/z8RhmEkv\nRorjltdkzrrrLJuMddikVSNKTCw2hqM7r+quWyafOsqbZvLcaKLfYcdE5eANz/8lcCiZUIIi+M1R\nlKkYz2s1uNeZWHzpY76+qnLHGlblO6xHMX/kc4jxiLIgR+JEynl+shngiDQFAofyIYWAM12ZjDuw\n3PjZPFz2zp24+pNHUJWsa5Njzk9cgitSffBC43CUwsxqm02kGh+QPVhLduBO+60899AvL146Gz8+\n4Qr89aoXsjJPVRzYiA93vYO3tq3CfWtvaYMe5lbE4CnTr0u6pDkisOaq9Q+1CdYsNobjKnIiXtau\nRJz4/UfSySZSjQ+wB2/SbbgztTZ/HUwjL172BH58whVZZVKvOLARH+xkOHP33ya0UQ9zJ9ngTEfH\nmo7gg5MTqeK28LBiljINpiUITUo4G8dMXS6TTl6mn+T1JiMW2pFGCEJcc3LqFImpW6MKFGorlI/b\n2VhmJE4msOHgdqw78A8AwLivluDFk37N1jXU+cxWgrlJ1TfKecujQUmKOJmCrZirAEdzilo25uJs\nAEkk4dDWXlHp4kgxAUygf6o7Hkkw1kcPGbAFg5NkUzvE+2FZ8rh6hGtbgcfgLI0ww0mn5RDAa8WA\n2igzi/HyiIX8Mga/cDe/Ph4b9pcjForC0JiG1r/XIEwdMpdpVNStNTWoJqqUw9yIeREeLJgbL4Nz\nKGFJ52KH1WFtLMWBuSXSVBhql+RX6hI2ajhzI5jjhIelAxx22IstFlVxw30vQ670FiIAwm0OJ6Cy\n0jjJxNxkEQou3sPy2h0yu/nYr5/Eyn4THLOT1xxlW2kdiO1EyscOBzHJxY0EizGMLUfKxyQDgB0Q\n4Rk2NcYw2z3xqHUeUprHHJZMSXO5wU1VNMQxRmWNo4y5IfIcOWuT0EB1EWburqtHiYayUAwvj1gI\nGgq7cFw4dmsEmPjGTag4UI4N+5mVs3+vQXhk2Dwn7YQdnKiPrVMZHLezumBwGlO2ZJN7FWWnhLZE\nCgFnCmaAU4giC0uWnIDFp/4aCAh46Agyp+583IP1eLT+XJSG8vfCBcmN6+5HefUWRENFeOHyeYiH\nDgtst7GyHO/vZAXxRh4/BleceA0eHTYPYaNjOyQHSSFQx13SsSQqseZELD75V+3cm/QyP3EJ7sb7\nmEkvQhzZMz+tlRveewjlB7chakTxwvAFaXEGACoOOFhzZNFRWMGrfCfyVPsgX1IIOFMwA5xa7uxX\nrzgUhw23LVwwOpZNEQtgbAB3FJZa9gEAkpqYUtgGu/k29drHxT/isDhONjrnQF4fHOF7o4RJrzj9\nJoz75mksOv7fELc12AnmD0OTCR9zk6yrd82n6hMuxoat4w6Flg0r4T6enXDbcu0AW7gQ1cFYM3VE\nAcw5dDYAGymT90PXoEcYAOmSwTHkMdNVLdeU9OxU/ufMDdeyqG3L61VevQVv71kPABj71t1YOWYp\neCPnXKhTeHPg4YMwe/iTiHJ7uKglZHtCMpMWdTQnD5PTYNk+5kZMD4n5pCUZmyBfnC4fnM4r1Y1J\n6YPzXQ17p8S9tWzqY4e9YlHnebOl5s8ZYSUJqfTBsN1lYShRfP2aw9woiUYl3nAG44WBt2Hsl4ux\n6MT/QNzWGWvqTRQa4EjsZWvsZEoGM3h9cSyFSRY+N7JrksFxcMjLLgNADMC8unNB9BQSSEHn+zYi\n3AcnYkIX+xIsseL7BwCaaUucoQHlIITvI7hfDtEMhjP7WJWPsW9NwcoxzwRcYIY1sZBTE2rlNX9E\nRJZoYW0SKeoK+QbgSjvhTR7aqLA7APMFFN+76vok7hrWN7AvrZVCwJmCGeDkWxZ/cgf21m1CWI9i\n2pBnUBLunvdjloWKsHLAraD1beN/0xnFcTDujyWXPJK23dIxyzDh9Zsw+/IFiBilSHTilzeRYfDZ\nJZ1bFn9yB/bVbULYiOGRoc+gpI1SHpSFivHyoDth1x10TMJdIiXGa02d3fN0LBnyaMa2T45ehkmr\nb8b0S+cjHi6TpqXOJoWAMwUzwGlsFJ7uTKVJGBoSnuipmNn0R02GmYeJHEEbNsXOgxX4Zj9Lzjbr\n/Vvx2GXLADhFNqUPDt8PY3LShDTYthMm7mFypJZkW0qiPo8GlWgI9Llh804UVYozNkEalMWZBip8\nkDwMDs1ApxLFOUlPCns1cR1LCxmOVids4hE/peyv9OukZ5d2cXEdTJGcKwGE2L5eGjIDN777IJYM\neRRlZnGg3R5gdXmeGcNCOhssqiT944ewPEyOkqjPO61PWBmZG7Y8JZd5/TOslK0wfc2XQtCsOrNU\nN6RQzUvD7DvI3z/luYvyqEHvfXL8/ShsHkUkfL8EO6PizKPvTsSDQ55ztlN8cWSCUW85GEVImghN\n2E4Up2BMXBjj9b3x+NtQ28oYKWV72GGBSdn4AKr/vSxyUFtDYBrfX8iyHbyxTc/+2LmGEIVmeLGV\nszUph50SjDFCYbx00UO44aPH8OSF96PULPalAaFKyY3ScBzPjFmBhEVBqR9rbEoV/z53pGbSpjJp\nqDeZXwNnhGsbUpLByacUAs4UzAAn3yKyi/btdiYmnfdEO/em48r9PT7HllAtojAwt/Z8lNL8+uSU\nhUvx20sfBzU6fkLCXEkhAE+XBIuKM3ecP6ede9NxReBMjITwRNW56JZlxGdLpcwswW8vZdnyOz+v\nkZ0UAs4UzAAn2chGtxpnFyilDjuRxY0SzI3QsldsuAuV9Vtg6hFMOGcRxg1egOVf3o1xg2chYpQ6\nhRM9+SiaLbabwXFpVB4buMyLk0w5GlMAcwMAqYZGJycO15xSXOu0krb0ubE5cyG1HFvMZ2ZwROFS\nK8EjFPh136wdxCeRAwCAe+yPMWf/OdImHrgvztiIMhAi0ooYSccG7r0OluUwXxlqaXll0mqel8KI\n4vHLWP4bcf8s6mZpbKpoUiIaSomKUqOlADdzI5YLdiclmBvLYXDsVjgcWs045y7JvdQ0pmRi0f21\njMERz0PU1H1lQISoy50U/Tpe/scUfH9oM0w9guvPmoFXvnmU40wJj6oR0VRsPzpxCgcLkcU2CZGM\njdfPT05tS4mIcpaxJraTRFT4w2SIlLI8TIydSKWN3hR+N7bC8gSxNP7yMdTXdrOu4ExsPebVnCe3\nF75/ok8yqkr44Oi6jALVPcV+aTIkCwCL8/diDaGKD6Fk4p17reLM/JHPIaIzM6OKNeLREOyMwI8g\nH5xabp0QeFLbkEI8FkK+pRBwpmAGOCl+8zVujqI2QIUjcIYBjhjYiA+VmN9btxmbq1nGymc+m4zx\ng5fg1nOfBMAASpgyxHN9z9qbsaVqI2KhGOaPfA69irqlPSZxJfoTvKW7qq0LhCRl7FC9IvTS8jry\nJZ2BjwAUYX5KNQhQsmHxF0qAR4tNVNxZWywLJ9n173eoFPftOh0pOykB697ST7DZqEWMmOhpxbCD\nHETsUBiLjeHoabpDyrVQwnEqTrkHOq5EXZ5wewFGQb2vOLBRRjfcu3YC5o5c7qKNASjhm7bPNCU+\nYvUJyzE/yUR/zsBGtEnIQaQY2PBjWDbsVoSJd/TcE4UuVQ1JGR5ew01UwkSbKUt10ABH1wj21G7C\nJo41L331CCZf8DQAx+wts91SimlvT8D2mgoUmQxnDo8xnBHjHUKgYIonOzpVP9BCaXAch0VbqWTx\ngY7XHMWCFNI7EvvNVu4gB7WNkKBBjFBQvcoAtWxEUgxnTq+P477dp8PSk6719xSvxxa7DttILY5J\nFqMYJpZoIxEnYWjJpMQZ3ZeROenGGdf1c7DG61og0lNoRHPhzF1rJuCJEctcm9tKLTyJO3zdoaSl\nYIozoAEcbKltTOH84/PvA1oIONOV6C+NmLwG07GlA/DLATOabL+laiM+3v1up03qlCt5ZPMZuLyy\nF57cNBiltlvL2GzU4mPze7wV2oU3te34UNvbpgm7ogaj/wf0GoQHh85rk2PmQ1I2bfLXJZ1HTG6W\n6lM6AL8amBlrtlZX4OPd72Lt1n9unJm+bQCGVx2Op7af48MZANiiH8RHxj7s0Q9hvbYPa7Ud7YIz\n0y+d3ybHzIdkgzMdHWsKh8HhjIRGKbZgLhqTO6GTME4O3YuIycL0UiluhtKIU9KBj1J1RQMDgJ+c\nMhv/d9P9+JfTHpUmKcs1Anf+A0Aki4eaBIVvCg3Aqy0oLIXQqFTNSFK86bQkxZFYZW7EvNCU7ITb\noS+d1qSKphOpsQrNSzN56QtLw8Nf94MR0ZHyVCqOcKq9f7IbSkkY7xp7cCZ6Yga9yDmfkDMlwqk4\niN3yUMReIdT2sTiLRz+PO9bcjIeHzoepl4JSlbnhu1Y0KplG3bLx26+nYE/tJoT0KMb0mYmExe53\nunIMqZQtr2kq6ZimgNYzOIVgG+/MUlmbkKapb+pmoYHugE4iOMW8FxGUgtfeTlv4V9eIkwTQpvjZ\naU/gfzbeh5+fPh0RI+5jE9VkgCrOPDpsvmufAH9XAkwqgONsDDsVyBgDnMlIBbMzQY7EavkX0Vaa\nojwsj7Pcyog3Tsi4+zlX28SgY/rG/tBNDRYc9lkyyTbDmmLbQK2WwgC7B2ZoDGfsUAqUJxgVZjeN\nO1ITMxJotuN/nKnX7Cf6SIEnRz+PSRxn4uEy1PN3XcUab4JHW2HpXvjyLuyv3wINYVx9wiwkUyzF\nhTBj1TYk8dv12/HKL89FPqUQcKYgGZwG7MBBfIEq+jEqUi1zCI4apfg/AxYiFirNqv3jlz+LUSf8\nCC/88H8QL9AKwK2Vx/efjVGHjsKy6kuwODEUV6T6YCXGtFnCrnikDE+PeaFF9+e7Q5uxpeZjlB94\nG3/dOtW3/u+V0/HW3rH4+MAkJO2DOehtehEmjky/5gghpDshZBUhZAMh5A1CiO8CEUJOIYR8qvyq\nCSET+LqphJAdyrpROTrVDi8NVGDNR9iYnN2ifURDpfj1wEVZYc2MS5d24UwWMrvyHIxu7I0/14zE\nGKsPXkyMaFOcWdpCnAGA/fVbsKXmY2yqeceHNe/seQh/23Mj3t47EVUNVTnobXrJBmc6OtYUDINj\nKbZbTQsDGlCEk3EcJkoNWghRGByRjE2EkgtN3FSSsdkeTcoK0PxLw2WYM2I5wjrh64gr6Z9PvMyD\n1BYU1sajZampz72+N0JbkqHgCQuWYA4U5obNW5LdEW2CtCYviyMciW04mpJ01uPsjO5KoCgqjLN9\nFzcamL17EPSIhpBBsCBxAUJFOmw4joka9wXQLdOvSVnONZKsjpAMaem9Idmuqs4BzI2YlwVYbYqQ\nxjTnI4vOwKVH34+UJfxyWD9qEltRmfwMAPBF9Uycat4fyNwAgJ2yXc9rcyUPtvG7AKyilD5GCJnM\n5+9SG1BK/xfAWQBAWLnlnXCKWFIAT1BK/ynCC/fXJlDNnYw1/tGUWJOwZaqKeo9fX1QJ9En3YVCf\nzSB2sdiMY86I5YiKQp6yLf9DnHBwGRYe4O/npKDwFNK0LYlBMkjBw8RQy85YBkawyF6WRw1yyMTS\neJ2MvT6U1KIuP0BVBLNcDA3zDjCGY4F+MdvOdNhycU6aLAissMOWG4sF1hCPv01zJeiV91cVpzC4\ne8QRsdMxovcDMoVFImWhqnErvm/8FABw/Z+ux6vXvdqivmQjefLBaVOsaRcGhxByHSHkH4QQixAy\nKEO7LYSQL/hI7aNs93+cPRndcDFO1WbCIMW56XSX5F3uSL2JH9a8gn89+F+osjtWsrF/O30O+nUf\nhX8/7VmZmVQVnTBQKtFPxalFd+S1L7nWqgBcDWA5/78cwI+aaH85gApK6XZlWQvDCPMr+caaE3E3\nuuGSLqzpZHJr7eu4uvq3+PG+lR0Oa35y8myc3mMUrjvpGR/WGLwwaTfzNDx91dN57Uc+GBy0Mda0\nF4PzJYBrADzVRDsKYCiltLKpHYoIFWYvjeF4TAExNFTgCTRaO6GRME7T7oNBimGlbCT4SF9lbAAg\nwdkGdygnO4bK5Fg+VqCpHqpn5YyMb3zvIWyo2YaYZuDFH9yH0iA/E48tmFq2wuZ4IhxssdySoeAi\nYkqyNgq74wsXF+GeAT44vA4o88GxRHh309FWgvmxxLyp+6K+dMtGhV2FD7AbAHDL9/8XLxX/u6tP\nPl8cBERNZaldee+XDPsXU9vxubJsClMvwTUnMaWhLpX0+d6cUfIAvj74GE6KTIJmFyFlWw4DpDA3\nAPPJyRTZ15TQVmybRg6nlO7l//cCOLyJ9v8KYKVn2c2EkP8AsB7AJEppfvnz7CXnWFNZ14iGQyKy\nL4YTMAU60bDJfgIN1k4YyQhOi9wH03RHUgaFjzsYoyzz3F4vk6POZhaTAAAgAElEQVQu82E90WRx\nSOfMbFaz7cAmxIwwXvzBvYjbEtT4lGNMMoGg8gvqNFOklBoCnimK05uWQnbVov7Q8QAs8jI4EmMU\ntl4LCbwUDLBgtFPYSCvxvr0TSPmxJm0UVZB4r3UWYnv8OdmhnGfD1Erw475zcLAhhZT6HbIpzj/s\nYWw49DiuOfkhlEXya6LMA84AbYw17TLAoZR+CzhZh5uQrBpJp01RB0aE2uk7UEe+BChQ3jgbp4Tu\nh63ZsGxPNXExMFCownShfCpAeZ3FnHNsosP8Q7yhZpuscXLj+ll46XQeGWFb8JutnAGOF4QkYCgD\nFnVAw9rw8wjIg+MNG/fSxK6u6xqIHNhwk5QnzFzTNXlckbND4+YrO2HJCr8qiEaIDhBgoNYLc+Oj\nfBSx63o0w0QlmwTcE+/9Uwe1XmdP9WMknxe+TEMxzih5EMnGFGywPDfimbS9JiqbtsrJuCWDI0LI\nKgBHBKy6R52hlFJCSNoDEEJMAFcBmKwsXgLgQf7/IQCzAXSIio35wJr9tQk08DBxmQ8KNurJDtSS\nLwEL+N+GxzEw8jBbF3C/0ubKodSPN97Bt7KJjFwOGvAoH1+1ltKNH83Eyv63su1ElmLlo+6tAu44\nBztKVDYh4KpJnE39QQ7yPCTuqCby9O+IMIUHpbmQudBs9wBNmsFDBmI6+/SdFTrSjzWZBjRZSFNv\ntnqPbdtzr5t4VnRSjNOKpmLa8MGt6mM20lIlrCNhTUf3waEAVhNCLABPUUqDK5xlEJ2GAQLEcDJO\nNG7LfQ9bKbLGSbeT8eSg24DGDloyvA1kIR2Gu433MTt8GeLaP09m4uZKEPBXbfwMVRWfpd2GUjo8\n3TpCyF5CyBGU0j2EkCMB7Mtw+NEAPqGUfqfsW7YnhCwF8KfMZ9AhpdVYI/xxiskp6GtOynH3Wici\ndPnsHv0YziQ7f4RMa+TJ2GhMql+D+d2v7MKaNJJugNmZsCZvA5wMo7gplNJsAfBCSuluQshhAFYR\nQr6llK4Lauh32tRACMWx9p3YaS5AH0yERouk86g3y3HQ1Esfux0A3UeTmlSWJybkpYsewg0fTMeT\nZ96MMrMYViNj26gaJu5xMlazfcoQck/9FjvhmEioj6Wxm2RuMoaJw4Zw33JCNHnCP6n9WZJGlqY9\nwRqFNCdMVKGPSxHCM0WjAMrNcGlMdC41uwUOfxR+Nsd7P1UzZMZnQ1xjr0O6HaClicrlrXQyDtKs\nSk84E6UnnCnnt61a7muTQf4I4BcAZvLpf2do+zMAL6sLCCFHUkp389lrwMxCbSZtjTWH6hKOSVfU\nkoKG4zAZ240FONm8HTot9mGMcEi3lGzHQoI093TsMJAlzijvxovDZmHsW/fiqfOnIJ6yYSd5pJ83\nS3gq4cObIEfiTCHgAlNS9R4Gh5uPxHJ2eHe4OFuWhhXnbUVgQzoRuKOH+Ll52GIAKLVNPBMejRA1\n3ViTjWRplgpi3IT43B8CLAftHaadjsHpTFiTtwFOplFcM/axm0+/I4T8AcC5AAJB5/sP2HUgGkHR\nMf1Rcjy7AQaKcSLubW1X8iZlZgleueRR0Pr8hhZ3NplY8xo21VQhqoWw/IT/gzKeDK0QpG77l6jd\n9kWLt29hEEcmmQHgVULIrwBsAfBTACCEHAXgGUrpGD5fBOb09xvP9jMJIQPBvrubAdyQ8x5mkLbE\nmqlTp2Lru5vRWJ9C8bH9UXLcALnOQDH6knthkI5HjJeFS/HKkOkAAJqqbufedByZWPMaNqYqUVQb\nxnOH/wQ9UDih92vXrsXatWtbvH0ecAZoY6zpCG9ioN2bEBIDoFNKD/KTHQFgWrqd9Dj3XwGopRqo\n1K6EvwPVnTIOdhMMjte5SxVXmHErqkKrIuu+KPZfr3OcrbA1KpvjnvJztqjPrm0r846W5rZhu2zg\nnnMTlYsti0ofHGkL18X+SNPHt6m/3x4GaqO9H++ldgAAbtr2Cl449t+dB0UJ5Wxt6I7fWVy5twHP\nhJj3rpNsmYjIVfxsxHMo7k30mDMQPqKfPM7+j15pVp9bU4k8zf4qwcDEu3wXgDHKfB2AngHt/iOn\nHcqftBprpk6dij9PewP1B3l4tSAZicPyivsja48FYEwqDe7YNvVpzmJWPKvNvv0BSeloGj8T1b/G\nG7ggWBpqWVnVuUt6fHBEUlEraflq4MnjB7A3/nQVmS+Abgq8cWOKeo7inDamOM6kgAn7/oSXyq7P\nuO/WSBAjpyb4E5LumyRSmWQrQ4cOxdChQ+X8tGlpP5+Bkmuc4ftsU6xplwEOIeQaAPPBTuDPhJBP\nKaWjPaO4IwD8F3cONAC8RCl9oz36GyRzPrwNO3hNmGmXPIMSs0d7d6lDyszTyrGjpAERS8OjWweg\nxMquSFyUsHaDzKOw4Oif5LOLnU6sAqgR01bShTX/PDLjlA3YUdyAKAxM39of3dE01kicCR+F+b2u\nyncXO5UUAs60VxTVH+Ak7lGXy1EcpXQTgIHZ7lNoPURo0oT6tCuhQVNVy/Jo50KCYvzVUfb2mgp8\n+d37AIAZ792K+SNXZNvV7CRAw/KyHQAwJfoRtugHEY5omPX9IEREXTjL9mkwqn+NV4OSLEuW7JSm\nHIftkyf+0/h94MffFjuEz+PM/PYI/RrTN/Z3JfPya3Bs/qni0bgjuRbzel7lmKdaGd2QSTLd6yAm\nz6uBS5ZGYWuCWB3vupZInsI3C1LygTUNdUmfz5Vwy3Df92CMSaRsWCHnv9omqaQnEFWlc401ki2G\ngylB75at+ODcZbyLikgVolTH7APnIMZTxwT51zTlg8NKNbif4SAfmLS+OLafiNN0Dduj9fgsXgMA\neLj313jiu7MDz1vFnKXxqzHx4GtYeNQ16c3gmh68XBX5ADTdNNPrG+T7qVb1fuHfzg7cLh9SCDhT\nkKUa2kLC/GU4rcdZuOuCOe3Wjy36QXxkfo91sX14oMfn7daPdBKxGDicWlOMKZtPzXq7uBbB8sOv\nQ5neFeHgFZuHmWb6dUnhSEfAmk1aDT4KfYe3zD24r/Tv7dKHpkRgTb+6Uty7vV8TrZnEtQiej/+o\noHz8ciXZ4ExHx5qO4IOTE/H6Odiao0nJEgNKVItXuxKSKQ+BnKfAXRc8iXkfT8J9F81DSTje7P6S\nNMXaXBLA2Dir2LIId2g8oyGOqfsGuNpSy31NnHnb5xcTaAv2XQr/tVl4/nbsjDciYumYvK4P4rYo\nwklAbYr7Pu2L2WduxuT/7YuScEiejy9Fe4AGJ88lU4SDKCToTfjXQlG7lS6KIShRmy+KSo248yxT\n/cNaIoWgWXVmSdQnZUkAWXRWPPcKtoj7nvKwNJZtp/WzsAI+GkFYIziM7NL7BIiHsVHZDdvyszlR\nynCmf7IbHviuf8ZCvt78W942guFhx/M/y0F4N/+CHdhR2oBwSsNd7xyHMospPkRhqe/7vC9mD9iE\n+3aejiLLADXTvyeZcuy0hXjxtqNETqlSCDhTMAMcIXJQA7dJCsh8w7J5sFSzQrEZxz0XLkVJuAWX\nMDDjXBYfc4/cHXofB2kCPa0wntg7GKV2CAkkfH31Ur1uE1Gaj3jAYrFMTSK6s7QRXx15CAAw77zt\nuPe9E1ibEDtOkaXj4X+cxo4byg7MmhTbTn+dcqRRNGVCaup5UQcx3ueuNeYpoDBs451ZLMuGwc0W\nQekBHFMkXOvUj1gijQMyoHz0+KJ42I813idIJjJUK11nI1mYwifr7+IgGtHTCmNBzfkotXWkbJFo\nlPdVyZbuTfDnG+AkAo6ZIS0FAOwoaZA4M//87bjvgxP5GscIUZIy8PA3/WAWuX1v0gU0qEI0xZjR\nHJNUjiQbB/S2lkLAmYIxUe3sdh92lT0Mi9S1d1faTDZr1fjUrMT3eiNmd/+mXfoQTrFHqO93UUx4\n75h26cM/mwgfsky/LsmPDF02lONMbXt3pc1ks1aNT/Tv8b3eiJlFLU9v0Bpx4cz7vdulD/9skg3O\ndHSsKRgGp8H8GgCwr2QJjqy5nWlRaQbiQY6AQtQU/FmxOsLsJXWq3Ncc9CX642HiEdsAdKB/ohvu\n33sGbNtt+gmq1OuVhRfvwM6yBEJJgttWH4NII7tomcPfCYQOefua3lh0yU5M+KA3ihM6YDrHEqNn\nbz+C680EnGNzkm81U8T9ysaG/MeK+1BZvwVAGCN6z4BlO35BXg0+E0uormsN/Zun/BRdkoW8tfUt\nIAzswWIcdfAO2JrDGAPsoyDND/xZNihb63UoBvzO6s3V1jM+vnwlyeaBycBuRBTz1MO1gwE4iULV\n1BNiKpOISsaGTeeevQU7yxIwUwSTVjO80LK0sd2+pjcWDdmJm945BkWWBnCXmUwmrozJSptIFthS\nac0H/9VvpmD3wU0giGBUnxmw7BgAwDSyYJTyIIWAMwXD4ACAmTgRvQ6Obe9utJnMa7gIo+uPxvMH\nLkKpnV34tVd2liXw1VGH8GmfOiwZsqvZ2xcndExefSwb3BSoVNZvwbba9dhW+y7e3Plg0xvkWUSu\nlEy/LsmfmIkTcXjtuPbuRpvJ/MQluCLVB8uqL0EpNVu8H4E1fz+2DoubiTXFCR13/a1PQePMd4cY\nzmytfQdrdnQOnOnoWFMwDE5R/fnoWX0jdK1ILhNa8nZ9PhrIThgkguPpXdhmP4fG+h3QSQRnhB5A\nSCvJqDk1J416zu53FiHRpTAxp/JcAEASXqfBDEyComWZKaZBnbg3grFvHdX8bgot0XJPg1JQBCfx\nap2/QEsk6B4F3U9x3w0eYdErcjqGHX0/GhLZadre8PBcSWsKdXZJ6+S6ftfho79dCaLFYIM6aSkk\n1ixAgu6ChjBCyW5IYC8Mm1UXN2yWJVdNIuoVq4UfDckcZCJEHKegzPvysKmlMLEoMQQpWs8OoWsy\ncEOImpLCl4SUz0sz074Ibnr76KzZmyAR+KWHxKm5maRM55O1aG79n+bY78YrpoIzQ4+6D8mUcy7L\nfj4or8cOkkLAmYIZ4Bxe5S9utyuyEI36TjTqW2Fzm/k2zEOKVuMgvgAo8O2hWehf3P6j5faSSat7\nY/GQXbhx7ZEoSujIX6aZzivXnDgLf9n8AC484l6E9VI0cEfu9pKOHppZyPLqda/ixDX/6Vu+M7wQ\nCW0nGvQtEmsMxJFCNWABGxpm48zIQ23d3Q4lwpw9/u2jC5qJaan82+lzsPIfU3DB4fcgrJcimWrf\nwsuFgDMFM8BxEm45N6VR34l64x9yPkb7orc1AVuNxwCwqr+nxu7Iav+///YeVDVuhalHMPHcxW2a\nTXRC5Z9RkapExCJ4MjYazc3YkElzKU7ouHNVbyVyQ43mcLcVSptFKfQstK8WRUi1swS91BGjFNf2\nnYOqQ8ms95PRF4d2JforNEloO3HI+ErOx2hfGKQYNfgUxeQUnGTe5mqfLkwcAFZ8eRf21m1GLBTD\nhHMWIR5mWJPVBydbliGAxblp139iw6E9PpzROJPRVJFLIb4UFHxaAgN3vdmHNdKDt8mq64p/X+B6\nyeYE4496Hr5zyiaCSpEgVqclhZd1jaA4HMdPTp6D/bXtq0AJKQScKZgBjleoTaFR5gwasU6ASXvh\nOEyCgWKcpE3BFjIXfc1JCGklWe3vu/ot2Fz9EQBg6WeTcf/FSwGwzKLbaypQHIphxmVLETW65+4k\nuEmmIlWJdxPbAACT6tdgMYZlubm/BgsAzDtvG3aUsJwSt606BsUJPTAsPJMEhYz7j6UF9qPZkscM\nxm0puQKMQgCeziy2TX3fQULDABjWhMnh6GPfhpBpYLM9BydHbodB/NXF1f/qsr11m7HhwIcAgKc/\nvTMQaxaMeg6l4TSFIVtoSilv/M6FM0v0y5rcRpiqgpx2Jc4kNExe1wdFDf42YvBD0gEJmjf4ycf2\nPmnm9c00Ls2kKFp5DLLIRgoBZwpmgLO75wMg1MQRNbdBp8wP55hDk7ArugjHWhOgoxhGiD2YBinG\naeEHmrV/U2ODpePiA/DrgTPl8u01Ffhs73sAgAfXTcSiUc1Lo37DhzOwoWYbotDx4uDJKA1oE+XJ\n/AZqvTA7ehlwsHUP/s7SRnx1BMspsXjILty5qivsMlt5c8c0fN+wBdQ2MajbNKDZfFrrxeqEzFih\nyPV/uh67e74LHWEcXnMbdDAFqXfD7diFReiduhnhEHuLDWKgr34fDNI8VsDk2btPLDsT15/1mFyu\nYs2UN2/BwlHLm7VfFWtWnHIjykJFrvVRjTkQS5w51Kzd+2RHSQO+7MXSdsw/fzvuFuxNl2QlH+x7\nBDXJbTBIGFUNf0FZpG0rnRcCzhTMAKcxzMLEv6NLcETN7QAAHcXoXT9ZVrxWJSgE7vOqGWg8sAMG\nCeOK4x4D4Jihft5vDv5YcR/+44zpKDKdzMURg33gTu95Fu6/eG6z+72hZhve3vcpAGDsZ/Px0mn+\n6IylPa7BxMq/YFZoCOIkgkQrkUfNKTEujWNxton+hCy4aIc7ozFaHm3RkaUqsRX7Gliq+i+qZ+K0\n6FQAbRtSmWvNihByHYCpAE4FcA6lNDAXPyFkFIC5YAaGpZTSmXx5dwCvAOgDYAuAn1JKq3LayQ4i\nG/ZvkFizr2QJjjl0JwCONQ2ToWdR8fnvldPRuN/BmbBeCl1zXqrfDJyPFV/djbGDZiEaclQeFWse\nHTav6c5ydkCYUVSsGUeXYmX/W1zs6LJjfobxW1+ROJNEQ/BuNQ2hIvZ+6yGGrSGeXC/SLSJNQyXh\nCIA69KstwbTvB6DoVPa5sRKWK6wccBIFqklIRXi5YJ5ti2Luuduwk7PPk9f1QfcMn7DmMDdEpeS8\n9FwzzVa+fQfgpXCwLg0buOaMIwO3G7rsADZuZa/i9X+6Hq9e92qr+tFcyQeD09ZYU3Bh4oe1Iky8\nLrUN+xr+jl317/vCgaOhUtx41mLEQu6yDFMveRrD+lyNp8b8IT1lnEFiXFs7O94XSwZOCGxTpkWw\nrOe1iJPc1GWavK4PLtpUiof+enzOnP12xllG4/XHHMT887fnZJ8dUQzO5MVDp2JAfHK79CEPoZtf\nArgGwNvpGhBCdAALAYwC0A/Azwghp/HVdwFYRSk9GcAaPl+QEgux3CThZMtTUmTCGXaMOG48a7FL\nkQJygDUGx5qyk7H41F/71pfp0ZzizPSt/TH8QC8s/Hbg/2vv3IOkqu48/vnOG5iBEZCHBt0ykLjA\n4kIp8RUkhbK+2Kwaa9fNrjHZCpSiu0lFNFErwV0NGGIlwhasJL42G0wo1zUQhYWkMuxGRCCyPIII\nghIBwego8pznb//oO0PP0D19u/v2THfP71PVNfdx7u/8eqr72+eee873UNOSmY1FZ/b3P8nWYceK\nXmfg1GftwrMuZPG0xd1ef46miXer1vRID46kecD1QCOwG/iymR1OUC5hKy4RfY9fwqCPZlBa2i9Z\nkZSUBl/sgZWj+dzZ3w51TU3FAB6a/GRmSzYAP738QWa8OpdFY26ntrya1obTG6P/WP8iK0/sotGa\nGVcyhIWtk+mbUW0xqpvKuHf1OUC8QWF2VDYFvULvB06jGc4Ajdrcb+bKmbxRv4s+ZX1YcPVTDMjg\nhyGeqSPmsuoPD/Kn1bMoL6mhie6f6WARj0kysx0QZ/efmInAm2b2dlD2Z8DngdeBvwSuCMo9A9SR\nJ42cqLVmyU1LmL58OounLe7wyGDs3b8MnVNZSawnZlDlaK4c8Z0OvTfxdJ5Gnb3W/Asz1s1h0dg7\n6N8YfG6D3gmVlzPznaW8dHgbja3NXFA1nKeH3khtSRXNJxqAuJ6Uxub27ZbGtiUbgnNNze3bA5qa\neZxPYCNbTru+Na587Pq2Acmt7auOd15OpqWxheqKSuAY539czQP7xlB1RmmHMl312nQYXFyS3b29\nmk5QdtanOxybvnw6Oz/YSd/yviy5aQnDs3yklOyz1l1ErTPQ/VrTUz04q4AxZnYBsBP4VucCKVpx\npzHkw1NjbzJlwhkPck6/K7ly+L9SWdqfvVvWZxUvGWteXte+XVtRw88/+zC15dVJy+9uruc9O8ZH\nNPA/re/wTf02YbkNhz6IPFeA7Y2pl7+4+9cjuHx3f767+pNUN4UT4FzlG///3VW/i5f3/ZZfvb2a\ne359V1Zx92/bQGVpfyYNmxN6cHouaG1uTPnKAWcD8bfM+4JjAEPN7FCwfQgYmosEMiRSramtqmXp\nzUuz+sG5cOCDnFt9JVPPXkhlaX/2bduQcayuiP8eQKA1k75LbUVirdnV8B6HWo7yoZ2k7sRbfK3+\npYTlXt69L/JcAdYffD9lmYd3j2HK+2fy2JZx1LSE05kwcTOhrq6uw/7OD3ayZu8aVry5gunLp2cd\nN4rPWjaE0Zl815oe6cExs9Vxu68CNyUo1lUrLrv64xeijNsuL6lh0rA57ft7t6zn3HETE8aYv+Eb\n7Duyh+qKvsyetJiayvDTxtesXcfnLhobunzbIGOAsRrM3NbLSTQJccOhDxjXJ/of3tebjjO6ouvG\nY5ujcVmfrj9Sc0bu4J1+J+mrcj61tYZLz0vfXDAVa9auY9KUqwDoE3Tzjh86ge9NWZBV3P2/38jZ\nYy/qcKxzF213zDywBKs9nzy4g4ZDO5JeI2k1MCzBqfvMbHmYajuHTHAMMzNJeTP9oru0Ztv3rwfg\ngm+e3igoCXpoyoLxOdUVA5g6Yh4AlWUlHNy+kQmXXg5ARVlJe/mG5lae3Hwvh47tobK0D7MuWUR1\nxQCONLRQHgyEqwpiVpYGY2FKRVkwWPgXazdz7mXXUVYV06bSvrFrygeJsqCOtvF05aWiz8cr4a09\nsfdx5jj+7eZlVFUNQC3Bj1jwY/baI99n2t/PjB0Lzqk5ZqGg1mZoDnp8GmNjeKypqeN+40msIWYa\naM2nrBeWrjvAbbNnd/l/BkLOIT3Vo7J/2ftsWLwi8oZC3eJnmTx5cvt+VI+U6urqOsTtKRLpDBSW\n1uTDIOOvAM8mOJ6oFfeZTCvZVz6fhtIDlFolI+0+ysnuw77vyB62/fEVAB5Z+3Ue+4v0Zk+lw48H\n3cAd9cuxpmbm951K1eHmpAMA850/9DnBpprYE4ID1ce5J8f1PTPtaW5feSc/vGoBFWUDUl9QACTq\nOq4cMorKIaPa949s/UXHa8yuyrLa/UD8dLtPBMcADkkaZmYHJQ0H3suyrlzRLVqzt+SxmHN6SxUj\nS+6jMguteffoHt6oj/XELPzdLO65JHdjMZ64/mlmrpyBtbby42sWUVvRc72UUdDWo0J99wzS7elH\nSlGT7BFVIWlNzho4YVpxku4HGs1sSYJykd4FntR+jmsbCN7ih4xmdlbxKgNb7fMH/Tn3XvqDCDJM\nTm1JFUsG30zjx7FHRQ0U7krGVS2xO84xJwfwmaO5N0usrarlqWk/AeBEc950LGRFLp6Nx5Hs4fhG\nYJSkPwEOAH8N3BKcWwZ8CXgk+PtCLhPsTD5pzea51zL56e+xZu9WAM47f0nKH9bZvxvC/VM+lfDc\ns6+fwRv1sV6BX37x39P64RzUr5JRQ8I3Umr69mHZ3y5LWa60Xy1lw0elLJc262ZHGq6tR2V4zfBu\nGaTb9kipWMixzkA3aI16arlzSbcBXwWmmNlp3RGSLgZmm9nVwf63gNZEg//yqUvccTLBzEINy5Zk\nw76Q+lHbwefuSifmDcB8YDBwGNhkZtdIOgv4kZldF5S7hlMDcZ8wsznB8YHAUuAc8nCaeFRa4zrj\nFDpR6wzkt9b0SAMnmLHwKHCFmSUcASapDHgDmEKsFbceuMXMsh6D4ziFiiQbemNqv6VDz38ttOgU\nM641jpM+YXUG8ltremoW1QKgGlgtaZOkhQCSzpL0IoCZNQN3Av8NbAd+7oLjONDa2pLy5bTjWuM4\nGRBGZ/Jda3pqFlXCB7hmdgC4Lm5/BbCiu/JynEKgG56NFw2uNY6TGcWgMwXnZCxpnqTXJW2W9Lyk\nhFNjJF0taYekXZJCWc5KulnS7yW1SJrQRbm3JW0J7gi7NMtJI2Ym+Q6UtFrSTkmrJCUcgRgm3zD1\nS5ofnN8saXzIHLuMK2mypMNBbpskPRAy7pOSDkna2kWZTPLtMm4m+UoaIek3wedgm6SEltVh821t\nakz5crInV1qTC51JM266+UamM2HrzxetKSSdCa6LTGvC6Ey+a03BNXDIgUlgHCltpAMMmGxm480s\nsVFOGjGzyDesbXWX+YapX9K1wMjgjng6sChVcmm8rzVBbuPN7KFUcQOeCuImqzvtfMPEDUg33ybg\n62Y2BrgYmJnN/9daW1K+nEjIldbkQmdCxc0w30h0Jmz9eaY1haQzEKHWhNGZfNeagmvgmNlqs/al\nDV8lNke+M+3GXWbWBLQZd6WKvcPMdoZMJdSgqpAxM8qXmG1125LCzwB/1UXZrvINU397XWb2KlAr\nKZVjbdj3lfYANTP7X+DDLopkkm+YuJBmvmZ20Mz+L9g+SsxArrPDYeh8C110CoVcaU0udCaNuJlo\nTVQ6E7b+vNGaQtKZIG5kWuMNnJ7nK0AiP/GurJ6jwIBfSdoo6asRxMs037C21anyDVN/ojKJBD/d\nuAZcGnSVviRpdIqYYckk3zBkla9i3g7jif1gxhM630IXnQKlJ7Qmap2BzPKNSmfC1l9IWpOXOgPZ\na00xNHDywcn4NJRD464wsUNwmZm9K+lMYrMzpgOJluDN1Jq6nS7yvb9DAOvStrpzvjuCO4iU9XdO\np9N+quvCxH0NGGFmxxXzPngBSOx6lj7p5huGjPOVVA08B/xTcHd1WpFO+wnzjXpB0t5MrrQmRzqz\nA/h2lnHTzTdKnUlaf6KU0ryuJ7Umr3QGotGaYtCZvGzgWAqrZ8WMu64l5luRiM5WzyOItVKjsJHG\nzN4N/v5R0n8BR83s0SxCZpRvMEgtpW11gnwnAvHCk7T+LsrE22cnI2VcMzsSt71C0kJJA82sPkXs\nVGSSb0oyzVdSOfCfwH+YWSL3zdD55miBu15JrrTGzLJb2XVm2y0AAAOpSURBVJXE39sI9CvtfCPU\nmaT1pyiTz1qTVzoD0WlNMehMwT2iUsy4axbweUvgShrQbvUsqYKY1XNqD/JOVSWpv6+kmmC7HzCV\n2OC+jGNmkW+bbTUksa0OmW+Y+pcBtwZxLgY+iuu2TkbKuJKGSlKwPZGY+WS2jZtM801JJvkG5Z8A\ntptZMves0PkWujdFodBNWpMLnUkaN8N8o9KZsPUXktbkjc4EZSPTGvfB6RkWABXEukABXjGzOxRn\n9WxmzZLajLvarJ5TGnepo430i5IS2UgPA54P6i4Dfmpmq7KJmWm+wFxgqaR/ILCtDupMK99k9Uua\nEZx/3MxeknStpDeBY8CXUyUXJi7wBeB2Sc3AceBvQrxvJD0LXAEMlvQO8B2gPJt8w8TNMN/LgL8D\ntkjaFBy7j5jdeNr5Jlvl14mcnGhNLnQmbNwMtSYSnYHC05oC0xmIUGuKQWd6bC0qx3HSR5JVTbwj\nZbmT6xfmrX264zj5TVidgfzWmkLswXGcXk0xPBt3HCe/KQad8R4cxykglMaK1vl6V+U4Tn6Tjs5A\n/mqNN3Acx3Ecxyk6Cm4WleM4juM4Tiq8geM4juM4TtHhDRzHcRzHcYoOb+A4juM4jlN0eAPHAWIL\ns0k6Iem1uP10nFM7x5sn6V1J34guS8dxCh3XGqe7cB8cJ543zWxCFIHMbJakRIu8OY7juNY4Ocd7\ncHoBki6StFlSpaR+krZJGp3G9edJek3ShZJuk/SCpFWS3pJ0p6S7g/OvSDojl+/FcZz8xbXGySe8\ngdMLMLMNxBZYewh4BPiJmW0Pc62kTwPPAV8ys43B4THADcBFwMPAx8Hd2CsEi7g5jtP7cK1x8gl/\nRNV7+GdiK+6eAO4Kec0QYisH32BmO4JjBvzGzI4BxyR9BCwPzm0FxkWXsuM4BYhrjZMXeA9O72Ew\n0A+oBvqEvOYjYC/w2U7HG+K2W+P2W/FGs+P0dlxrnLzAGzi9h8eBB4AlxLqOw9AI3AjcKumW4FhX\na47k5XokjuN0K641Tl7gLeBegKRbgQYz+5mkEmCtpMlmVpfiUjOz45KuB1YHMxUseLWX6bTti5s5\nTi/FtcbJJ3yxTQeIeVEAy83szyKMORs4YmaPRhXTcZzCxrXG6S78EZXTRjMwoM18K1skzQO+CLg/\nheM48bjWON2C9+A4juM4jlN0eA+O4ziO4zhFhzdwHMdxHMcpOryB4ziO4zhO0eENHMdxHMdxig5v\n4DiO4ziOU3T8P1FuiY+xJbOSAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# \n", "zi = mlab.griddata(x,y,z,xi,yi,interp='linear')\n", "plotCompareInterp(xi,yi,zi,titl='Linear')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The `scipy.iterpolate.griddata` is a bit clunkier to use, and doesn't have Nearest-neighbourhood, but its 'cubic' option works quite well here:" ] }, { "cell_type": "code", "execution_count": 59, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(100, 100)\n", "(200,)\n", "(100, 100)\n", "(100,)\n" ] }, { "data": { "image/png": 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wmHsom3zLhhdaZ2PPOrilkIxWQ3pF42RsJZCONrDfrSNywbTJmyiqQi5wFqwr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\nlkJkOryUAkr0XdR55qaWEdiWVVT51QMY9G0Q5JqLZm3LkJx/0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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import scipy.interpolate as interpolate\n", "Xx = np.vstack((x,y)).T\n", "print shape(X)\n", "print shape(z)\n", "Xi,Yi=meshgrid(xi,yi)\n", "zi = interpolate.griddata(Xx,z,(Xi,Yi),method='cubic')\n", "print shape(zi)\n", "print shape(yi)\n", "plotCompareInterp(xi,yi,zi,titl='Linear')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Which should I use?" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The choice of which interpolant to use is somewhat artistic. In general if your data is not noisy, then the \"local\" methods work quite well. On the other hand if you have significant noise in your data, then you may want to do some smoothing at some scale anyways. In that case, the global methods are quite effective and lend themselves to a natural interpretation.\n", "\n", "As mentioned above the global methods can also be made more \"objective\" by computing the decorrelation lengthscales of the data. The example used above would be a bad example for that treatment, but often statistics of data have natural spatial scales, so gridding knowing those is useful." ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": false }, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 2", "language": "python", "name": "python2" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 2 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython2", "version": "2.7.10" } }, "nbformat": 4, "nbformat_minor": 0 }