{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Principal Component Analysis\n", "\n", "In this exercise sheet we look into how to compute and apply a Principal Component Analysis (PCA)." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import mllab.pca\n", "import matplotlib.pyplot as plt\n", "from numpy.linalg import svd" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Task 3.1 - PCA Implementation\n", "\n", "Implement the `pca()` function below using either a singular value decomposition or an eigenvector decomposition." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "def pca(x, q):\n", " \"\"\"\n", " Compute principal components and the coordinates.\n", " \n", " Parameters\n", " ----------\n", " \n", " x: (n, d) NumPy array\n", " q: int\n", " The number of principal components to compute.\n", " Has to be less than `p`.\n", "\n", " Returns\n", " -------\n", " \n", " Vq: (d, q) NumPy array, orthonormal vectors (column-wise)\n", " xq: (n, q) NumPy array, coordinates for x (row-wise)\n", " \"\"\"\n", " # You code goes here\n", " \n", " #q < d \n", " if q >= len(x[0]):\n", " print('Error occured: q must be less than d')\n", " print('d=',len(x[0]))\n", " print('q=',q)\n", " else:\n", " U, D, V_T = svd(x) \n", " #the rows of V_T are the eigenvectors of x.T*x,\n", " #D is the diagonal matrix with the singular values of x (sorted in descending order)\n", " #by squaring the singular values you obtain the eigenvalues of x.T*x\n", " #U unitary matrix\n", " \n", " #Vq contains column-wise q orthogonalized unit eigenvectors of x.T*x for the q largest eigenvalues\n", " Vq = V_T[:q,:].T \n", " \n", " #mu denotes the mean of x\n", " mu = np.average(x,axis=0)\n", " \n", " xq = np.zeros(shape=(len(x),q))\n", " \n", " for i in range(len(x)):\n", " xq[i] = Vq.T@(x[i]-mu)\n", " \n", " return Vq, xq" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Task 3.2 - Toy 4D Example\n", "\n", "We start by loading our toy example. The data is stored as a Numpy array, it is a $2585\\times 5$ matrix. The last component of each row is the label, the first four components are the coordinates in 4D. Each label is an integer from $\\{0, 1, 2, 3, 4\\}$.\n", "\n", "The data contains a noisy 2D plane which is embded into 4D. We would like to represent the data in its _intrinsic_ 2D form." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import mllab.pca\n", "\n", "pca_toy_4d = np.load(\"data/pca_toy_4d.npy\")\n", "x = pca_toy_4d[:, :-1] # 4D coordinates\n", "y = pca_toy_4d[:, -1] # labels" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Let us plot slices from this 4D data.**\n", "\n", "We provide a helper function for this:" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Your code goes here\n", "mllab.pca.plot_toy_slice(x,y,4)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We want to remove the noise and recover the 2D information." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**PCA transformation for $q=2$, and plot.**\n", "\n", "Now we can compute the 2D dimensional representation of `x` using PCA." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "# Compute transformation\n", "Vq_31, xq_31 = pca(x,2)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "And then plot the coordinates, which are two dimensional. We provide a helper function for this task. Let us check how to use it:" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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2HrhPgMwdo+0w1OiQ85zY5dpBKx3dyrwbEXclUAviUf62/0P3gx8Hz8WuLsuMbA2YKHeEgDNDGOVziW/5BbEX/0kLZzGIrf6XjDR5r3WKISCagKZ0hS3QVbZuBo6LSINS6piINAAt2U4eWZuzCOM5oSg3QerAH/DjbQQaLyO+6bYM5WMGRkA/aIp0XESa8gXQcCUD2nQSbdD0OEx/E2LqRCh6dREB8m0lxmLAPJpjfOPGAJkP6giQL+5i4OVz0srMqUBg+oXagzM6BxETVCvQqp3Lqi2qP/Rr4pv+DOZ6FJ1IWlBF5tTRt+topj+Fl8JuvJSe379TC+1h9D3xV1R/dPvrQj8xaQGhlGoWkcMislQptZOh2pzb0DU5v8trtDan132A7vuv0klffYeY8vRMljUOAb3dMASxLZLNnToIKVgOM9+aoVtQoTqYcQlE5w47WTF5XUKS4iksZ4P1BjCqwD8C7tMFnldgdOY4ERGoXpGnhYtht1F20RdRyQ7Y/0UwBRJtBKaVE1lQT2zv8aGwcsMivvbftQ5pBCrRiXNsFYHXQUh5sawYnwduT1sw9gEfR6+l7xaRTwIHgZuK1NcpQ99Tn0PF28l46JO5LbnhuXU6zyM6jNnpiWPPP3NwJhtADAtVvnCETsLUSj6VYGxrQS5sIE/swrg4Au4RMJaDdTYwixwF3E8hBLxmxDyIWnCjDlFXPqplNYaRwmh9Cb87vdD1UzgH/0RWgaY8+v7wYao+tAYjXDv6+GuIYtXm3Ahky5L7lmJc/1TD622i70+fSCdmKYzQrBpCDdWDe18xDQLBEFSfNuQCPYxM4WCAVIF5HrgPTXDUBgVbDwoi/eL4WyG1DaggaxbbUw11CFQ7Imrwe5eGSwjUewQWvJnuB2/F62pO63tyr7aU00di62+InPelEzTwk0Mp3Huc+Kl+uu+/ShebGQfBGVWjTZnKg+7dheVkUBZDOoTxEgTKmPjLGyX/o6KAbobCuYvtoFuMbVFah6NayaroNUwwA0TOvpjKs+cTWVQPkmelpjzc5peLMK5Tm5KAGAfOkefp/PUSVP8xCn3ZJBTFqpubQ6GlBt2tlVJ5sqr5QDv4exj/9sIA6/IJnDfAdLDfDYG/QCtJ8+GDcQZYb9I+DEwgU9UgJhhvAhZTUP6KMalGb4Py/N28GLazAzMSJFBdNvaf2Brr+3j1U4rFKBDlJen9w4czEsHmR4hc9D5CSy9CeS7S8TJ0b89UYIoFFQv1/465inDB3z+RkQMVYDSAn80dOt+2oBasswAD/D5gjJoaAH4rWGfq4juyFNQ2xqeYFLSb+FLwNqM9KIuxbelI/+She+egr4lhW0QW1RPbc1wPyR89Br/3MPFXfok94wKs2nwK0lcvJQFRIG7z2nSehPxIwCLUUE2gcQFmXSUYYFhh1PSLINGqlZiCFhTVK5CyWekzQ2grQ66XQZjYTKrAewmsC8BvItPEGUGvLEaaPQf66dJZo8b1gnaD83Ta9DleDLBu0rfq3EdhCtUBV+wiCBE3nnGd0PQqAtVRnK5+fNcncaQdlRzS43it64m1bgArhN14OeXv+E2GNeq1wGvrbqYSK8RYD6ERsql4wzzEshC6oW01dG9Fzb8RMQOoee+DRAs4vRCuR+zyYWenxri+CeYy8NoZ93ZBNYGTTRDk8l2Y6HYEIAaq0FXWcKJgXQmGBd5BCnrhjfPBqNSWHW8/k7ailM+Hrm0ZYeaGbRGsq0Qpg8TBtiwnKXDjOE3Pkth+O+HTPzq5MZxilHQQBWJNPxsjlN+kFZ5bpxOVDDzcytXu1l07gXSS2HA9UrEEseeAsYyhP0G+1YkJ5lVgzAaZqLdpNhdhf4x+J0qhs7kJxgqwb4DAdWAMpMcrxNpi636kPt3fgHl5Iorc9N8gMjOdNGfESk1MZNbV+TNsuzFSu+6ZQN+nNqUVRB68vqPEX/5XnKbnMKKzCJ9/M/3PfxVSmWngzEiA4KxaAnXTEDViWaxciB9DR8IPUAP2FeBuYuwX1AT7nSCV2kNTncqxAAOmwXwrkOlAUutfjOVgzB3yFVdxcDeCamZsIeGAvwFUuzZdDvY5ES/RAJBCxIeGy1C150LPAfDjOpFO2WzEDGBU1eN35SkqZAZI7roXo2wG1sw3vSaK+JQERA7czl103335oJut39eEe3wtweUfJrnjLp1GDbDKw5SfPhuZeQX07EoLg2EMZGvKoFu/DGpPgaMJag8/7wGK5+iUjwk6VBlv0Dkf8tKJziExC2T2kHDwY+A+wGiBaTKkf3HJFD4eqANMXv/gZPQrdhSmjVY6Rt98Ez1/vA3cLMpaw8Y9+gJ9x9cCCqNsJpXvfQwjPG2SYzu5vPpF3BTgJ7szhMMgyiO54w6M6kWDJq7IgumIFYCqpTD9jSOcnkSHaVedNqIHB9xVFPZge+BtSZs4T4RwIN3PBHwP/M1gpK0eea/dodu69w5l1XL/TPbVVJk20xq50uGNYzuTc1yF6VzshkVUXvslgg3TMCIBMAwdGGaG9H34jt5SOv34Xbvp/M3p9D33ZVSu2JxXAaUVxAi83ia677litHAYwE9h1SzDibeCGcQMh8DUZe0k0oCa+x5oXQOpbr2nrTsfscJZLtROwQ+3f4Cp+VPZ6Jcj24s5kVnZB39AwViIV6WjLSzGpUA2BSBAL3hNoA4yOeVpcWJQzLIIZQvqgBmoqquJ7W8nuf2/szf2UyRf+QXOoSep+tC6CRYpOrmUBMQI+p78LCqRPZX6AKk9Dwxqur1ENZYZ0yayQDkSngFzrkm3zPeSjOcFTDL23no2+iVLol/4Al5QqUV7F+6nOMpKRe4XPdcph8B5ibzfk9oxyXEBUgEqxkSEjALwPf1/fQchugAcB1X5TpI7r86ap2M4fs8BElt/Q+i0j7zqIkBLW4w0Xtdeuh/9C9yjL4zdeJgZLLa/GeX5qKMrUX4K5Tso5aEw9J78RGHMInMvPZYAMtMKwkLaTjETCgEfz2xsgnk2GEsY/yNfj8gyMMpBbF1hrPEdsOAa/K4H9DajAGLPf5XOXy/HOVLA83UKURIQgB87Tve9b8U9+PjYjUfgdsfo2X4cqIZDj0H/EVCCEABjBlBZ9PGOJgqqjfEFY5lALu/KE814+x9ewi8XNhDUZlDzPJ0309+cpa981zHBWg4SRUgiotKZv/RZRuW0UZnJc+I7qEQbPY/ciNd7uLBzTgFKAgKIb/opaoTpcjz4CUHmXIHMuw4pn4cYBpAA93F0ENMUY54FEmV8s2oK/OcZ38uZP8LxxDGg48hHGAI36rgQbx1DfhIj7zff/Vdpa0sO/YdZVk1wwblgBQodOHgJuv7nPOKbf1b4OSeRkg4CSO66m4nNogJWiMibv5AWClOTDGXMMZACc2GOGTIPqnWcfc1FO1zlr9p9QpAGhrJjZ7vnGDhPgQozYeWmMWCGDeVsUnbpBzHrF5HcuQmVimNUzMRLpVCtm7UfRTaUQ2zVN7FnXnTKx3C87gWE8hxULI/zSzbMIOa00zCrlxFa8Qns2krw1hR5ZIXkegSdKyLMxCMetZNQYTRx4kyt+TBAqsG6RFtNvJfRQmD4d+WOL6dlNiTtCm+eBu5RsgkaEYPwsosJzb1JFyL2urSp++Lv0PvywzhNfyaz7mgaL0Vyz+9LAuLVwTiWzYaNEZ5O5XWP6orcACpVZAFRCcbp4L9UWHN3C8h+9BZg5CpGwDgH/PVkFzbjWfWcCsIBwABzkXZCMxeAUQ/uS2kPzCKiErpeqL+f0cJhyK9CuQvh4JdBpS1NysE/9iuM4PR0bEk23ZDg9xyk+8HrUKkegotvIHTGpxBzHNuVE8DrXkCIaWPPvhLn8FNjmKsECZQTWPw+Ihd8bUg4APhHKa6iL5kOeLIY+6X0gA5QuUKZFfgbyW32LGaWqROB6FwTUjb0kXKKLxwA/DXgb2L038BIp/Av01XFWn+kxzBwWsqha+2O/I+ECKn9jw3628Q6d+IcfpKKa+4r+m1MhqIpKUXETNfFeCT9+3wRWS0ie0TkrnS+ypNK6vDTdN11Ke0/m033fVfhpLNCRa/8EUa0MfeJZpjQOX9L9Sf2Er3s/2bmIfSPg/cixdU/JEBtoHgz9lQFZRWKnU7+YpF/K2QM+zdXO6W3FUqBf1jrGdw/FnOwI8gWZeuD36H9SMQEr5fh32/f7ubcwsGO6h8xM53x3DjOsdW4LRuLPP7JUcwVxN8C29HJCQH+DfiBUupOEbkN+CTwkyL2Ny6cY6syEr64x9fQ8+C1VN30DG7bVvzY8RFnCJhhyt/5W135OVvgjfLB3cDJffkK4WSbMX2dH8K+Lv1y94C/lyHBZQJlYF4IMg2kH/xO8F4g69jVLnAF1M7sx08Eahc4u4ByqLoUup7SWxLA7Y3lPK3iukcwQtPo+l22FK6C17kTa/pZUzPmCVCUFYSINALvQhfwRbRP6ZXoGhmgS+9dV4y+Jkp83a2js0F5SeKbbiO26tujXavNAGUXf4fA7CuyCwdvNzj3MG7PwSknmz4lXxzCicDTOSlwdaYo63ywr9V6Fpmrl+v2u8Cs1zOrVILUMbZ35ckWfAC9EDwMlWeCBMAII2bueVc5/Uhkeg73ex8zS5DYyaRYK4j/AL4CDGRAmQZ0KTWovm1CJwQ8aTjdB0d/qDyS236bsX8cxEvi5Sqz5jeDt5bJxQZMFSNfGlM7CykfLcyKoXOoBmLo5XcIKCRBjAGqL+2vgba8WMM8Tb0D4K1PXzcKMrMI4wQtMMPp6+Y6XoigyZ23Q0RBw3momsWQLCN0+ivEN/wy61V6H3wvEq4huPwjJF75+dCkZUWw51yJVXt6AWM5cRSjeO+7gRal1DoRuXwC55+Q0nuGSPaNwHDhYAjh2dMI1Fbo96lKdGHdkUE23k6KJxzMdJHaZync3Die9PI16fYt6X/Lgd5xjzKTFFjvA/HB7wLvSQpSpkrV0K/KBdWlBYV3QOd2GKQP1O5JjnGwI/L7bRRgRjYWg7FI58hUub0gJVgJwSDhC79HfMcjEM9STE6lULFmElt+TvStPyW5+15UqpvgkhsJLnl/ITd0QinGCuLNwHtE5J3o6aQC+CFQJSJWehXRSI58YCeq9J7fe2jMNuWnz8YqCw2mp1fxR+BYGcz83IiW452Fc73QJlhXgVEDch249xdwbUkng91NYUKqFV15e6D//nyNC6Q/7WMQBW9lAeMwdXIYSVt+vP3grUZ/L7kcnYr5KExURxQFTK2IJgA0AGO5STuIuFR/8EX6n/syqb0PZbeO+Sn8vkNUvOPXKKXwWjaQ3HkHKtWPWTkfe86Vp0R+y2KU3vsa8DWA9AriH5RSHxKRe4AbgDs5yaX3vJ5DucO305jRUIZwABA8aP0dqu7DiD1s9jPmg9dK4YIi28NeDvY7QNIp0owAWO8A9zHGfKDVePNSDu+/SApVbwc6vVuB4/B3gd8AEgFvVeHnnVSG1UH1uwo8xwJsjFAN0cu+RW/8CM6RLPUzlIfbthW3Ywc9j30Y1TPMnduwMSIzqLxhJUZk+iTvYXJMpYj6KnCniPwLsAH4xRT2lZfElp8x1rLcDAX0diLbwaO3opwWbVqbdh1UXYXI0fRycyDF2nhnvD50vMY2wAFjHhjTwViqX6acL5ACxusiPRU0U7ji09M/7tN6JXFKKBeLj47gPRuSR+HI96FvAySy6L7SpPY+RGrnHaMP+A5+32F6Hv8YVdc/NoUjHpuiCgil1DPAM+n/3wdcUMzrTxS3ay9jPZRuXKXjKbLQ9RSDM29iN8S2QeOXQHVrcxxlaZNcbLCdSv8nd44QAWdgtaC02c9YDta54M8D75W05v9UfpnGuxrx0g5dp/I9TQI/BQe+DvEht+zQjAqczp6sdTVw82/3vOZVKKdPp8A7Sbw+ojnd3HZpjYBRgzJyhWYPexH8BHQ8jHI6tDnOnAdmnU4sa6xAUYuKdcPx1dl98Af6G7Xy8MDfBqofjGlgX6bNf5x0/7ICKNRVXVFYvYzxxpUISCOYbwQ5R5tPjdPGMa4iIQaUz2b46s+uKiM8tw4MAXP89+UcW1XUIY6Xk68FmWKUGx+7hqIowjMcxOsZ8WxaZPVCFBuSh8EeloxWArqi1LFV0HLr7QgBAAAgAElEQVQX4MK0M7Qv/sgxUQmqK8vqQnRlKunQgoIIWO8C92FOaZdoaUALsmlghLQZWO3Nc0K+FcR0ncjGX8+49BQyXcdnDPz9vMNov72pIat1Sx8Y9VF4Zg2h+ir8lNC9tRWSY1T4GsCwkUDF2O2mkNf8CkIluxhrSWtGggRqo8igcDDBngEz/hfZKm+jktD7IqrtPpQ7QnnVPswScexpnWHK91DDH5zeV8i2PFfKRTnPodzntJ+F9xy4vwfqKE59yinCPBvsi8FernUpqmkSF3MBO+0HMeBybaBda7I5F4Heom3XwtXbAf4hUAMVt3JRwViPv8pRLFX5HrStQ3WNMMUqD3p2Zj1HTAOzrIzQaR/RSW4LQKKzsOrPL6jtVPGaFxDYZWNm/TEC1gj9gwduG1S9Dez60ScoH1puh6M/gu03oGLbho75w7YzfQdh7x3Qvh5i2ulKP3TuqJlGqXQh392/gq6RORiPg3EmUMVIcj3EJw6DDP8N1c3kVjsdOop10N/AByyw34zbfzpOdx++n9bzKKXT+7VvQiWbUe6ftLOV+yL4f87dhfUObUEy5pNP8IrIqO9XC4c10PYyND+NSnaivCTKT0Hzn/OvDsJLiFzwNQLzr9bZsO0o2OXY89+jrVhDMxRmw5uovO6hk57o9jW7xVBKaU/J3ffrLz5PXc1gQ3WWC7iw4/ocZ6SvpZJ6kjr0L7Dsd+ljYTIckdw+aFsL89JOYMrTpfdGuG+LCEpM8JPQ/CwqUIlEZgzrr1v7EQx7XmNtnexb+SKJ7l5mXXAG9edcjSFloKZuaT0ag4x5JtuKa9wM3OSAIEgSe/nzJNY9DGJgRKuJXvZh7BkLARNVdZpWQwzW6BxDeeo+qxXC5huBEPhbczbVQsLXz4/yIdUFHQO1PwzY/3sIRnXN1bzRwAZEz4X+9USv/D4q9V38eCuYYRJbbsOctgKzagGhs/4Gq2oxYp8alcNfcwJCKUVi823E1/47Ktmt61LkXEEYEAhiV5blOF4gyUOo/TfrvsLzILZlRAOBWAuEF0LrKvBa9JhGxv576dWHcqHzFRgUEHqsiuCgZaRt+z6e/Mr38T0P33HZ8/CTzLtiP2+85U5I7WasWTz7Hno8HpoD2Ons2AOXiKJXOvkzg48PRXjphSTWPwrKx+9tp+fxn1B90z9hRCpJ9sUIlpePfZXeA9C+QfvEVCyGug8i1qy88kQpH2JH9Wow2QH9wxyllAekIFFIhi2B47/Vz4hykPqPI+Er6L77MpQTA+XgtW0itef3ABiR6YQvuIXQ8g8VcO2p4zW3xYit+R6xl745pHvws7svG9PPpeYzzVRc8yAqNFn/dx96noOuJ7MIh4Hjx3T9yaoboLdJJzEdtnxVvgMtq4edMpTm3kt5HN/aylO3fA0vqT9fdeuvcRNJfCedfj/lc+CZP9Cxe1O65mfupbNSCnr3ozp3jKhYPpHtSvno86yzJ3Cd3IgYYNnYMxcPfej7JPaspXnjDnbc9ySek0sgahOh6twGR/6kK5+lOqF9Hez/LooG8qWUQ3nQ8hJ0bMoUDkB+JaqkPUcFrAF39xT4/aBScPw3JDd9C+X0Dbn7K2/wx+8/Rv+fv0oyLTBOFq8pARFb/R0Sa79XUKZhie/C3/U5rM7/wJCJVKMeP8rrh+AcqP8UND0HPXtQbhyV7ICjT+nSfQCYULEEpRQ7fv8U997wdzzxtzfR/PIaHvvst+k5cpzug6PTqSlf0bLpz2CeCcYCBpLMjtJTKBc6NkLzU3B8eBp2C107czy0aJ+N4cj47PYq2YXq2qGFZB7EGlaY13dRqTirf/Br9v7x+VGFdQd/t69FGefoldtws7Py0iuCtWBdCwwoRQ2U52rdRrIDmh6HxIBjmmgLViGvTcPfwxlPwpnPptuPEGAqieFuz78tcWPEXvgnlHvycoC+ZrYYXvd+4ht/TCGzoBG0qDi9ARKb8nkyjSYwC6a9D/rXQ+/L+mFRKbJGg44ksQdeeVvmZ0f352jswdHnaF7fxsZf/h4vMaT47G1q5uGP3ZL1LENB8OAR3EcfwrjgIoy6c0ElUC23Q2WQgYI6Lav+SMfmTdTMjlC7cDvmjEsGr6HkfHAfBWNoCzIoYLwkmMHRWxN/F3DmsA+CqLxOYkPoldNL0N8ELS+h5t2ABEZvF8QwcY7uAg+sTeVYu8uQ+3czP6bYZvXw5Fe+z4Vf/ChV8xpxYnGaVm2ieuHpVMxPYZi1euyj8CG+D8ovhMCVQx+7PbD/yyNWgyZY1YACd4ztU/U1UPc+SB5IbxuzreYECdeB7M4rJPz+o3Td+WYqb3gSIzRaST3VvGYEhHMkj9Z6BGY0DIaMX0Ps9YPXA/P+FRELlWyCHR8c50gLJcmuR+7LEA4DWEqo9SMcN/p1HBYgCmzHo+7uh0kFV4IC+wtfQqbVkvrmzzCvttkVSbHtDztx42mBJhAqt3nrrceonNuIStXCvvehIy9BmRGoPRepWgaAMgOQNeX8sK1S5xPQcTvMujxDKz+SASUyna9AnxaUyk3h730Ic8kHwDAzrtv99B34qTiB52swD4cQz4BEivlUUeEHeWHnfh77q28ihoHyfSrmNODEHmD6kqe46H1fxghGwR8Rxap8aLsbVXcjMky5KlYFLP4pKtUMfWugd6P2pnXHyP0RXgGzvwpWFez6KCSbtDJaeYwqiCw21sIvIls2oNzYmEIisenHRC78x/z9TwFy8s1kQ5x33nlq7dq14z7P7dhJzwPvHrNk3gDh+dMJzxxZcbtQDKi8EmZ/DXZ/CpIHmaqMUk//f7s5tmN0vY4qP8ilqdkcMLvZY3biiE+9V8YZbh2h4TI/EATTgHiclpoYLzlH8J3Rf+/ozEbec/s62PkZSI2IehUL6i9GqnUBYqUUeHHo2Q1uAqJzkbLLwD4f1bsG9n1F97noI3mjEZXyYd9dWh8wDN/16N2bonz5zfh7N7Cvu4ntjzxFf2s7DbUBLmiag6Eyl/gePmvsYxwz+jNk12y3nLPceqxIFOtasC43s6xqQjDnFqT6rTnGqWDr1XpiGIu530GqrkDt+Rz0b2K0jmKgrogPoSUw+2Z8J0h8/Q9wWjdBsgu/t4lsz5NZewZVNz079hgKQETWKaWypbQaxat+BaGUovfRDxQsHAAkYOX2hBsTH7qfgOA8SB2lWMLBS6SIH2zF6YljhmzCc+qYf+E0Wvb14aWG+jCVMNerwMRgoVfNQi+LiXYApSCt1DzS04tvZZ8M4u1t9Kz5JhWhLCHxytV2/7SAwOmBfXej08h50LEJVXYI5i6F5l8ASf1e9OxBVSzOX4vSG637UY6H13EUv6UK54fPUBfr5riVImUaqGM2g0umYRgI5zsNxMTlhUATcXEJ+RZnu/WYGEgojvXmshxbngQc+gaq4xGY88+IXYNy2uHIf0LPn9HxIwXmBj3+a5RVDbHNZFdgDquZmtgFez6LsehHRK/4ob53pei69yr81tGTpEQaChtDkXnVKym9zh3anjwO3F5jfLqHbHSvZDDN+RgoT+V1aPJTLj0bD5Bq60WlXNyeOL3bDjNzYZB559Zh2DZ2WQWmFaBeKpnnFbgXdVKQdiqyMUBpPcXodkmM/jxbtHTWI+U70LZevzADS2LlQt9a2PoOiA3zJzj2NLSuQiW70w5NIxWl/qhltUoq3Ls9gltWYJ53IZgmISzOcxt4d3IRF7mzMLLEVwiCiUGZsjg/pV+kRn9Ij2GcNdY8qKDvZdj1cVTbY7DrL/UkoBKFCwfQeqa9f5fX52Zo26T09Y/dNngktfch/Nb1Wc8yoyUBMUHG+aLbUcre8TiCPblujRCkr+Htckn+JE7y1hju+npUQlBJhYr5qJTCeTCBf9TLKSQSzV2okdF+viJxuIMLP34Z7/7vjbzpH3/JVd+4hwu97C/JWMzzKgkpkwCm9qUY9lPmBSiL5gkKC9WifBe6tkN3Pies4S+80qbBfbfDvjsh1Y1SwqDbtJj4/iX4Rw2Up/C7fJx7kvgvuBjr20h+++sEf/wLCBQerGZgUK1CBMTOKKrrbXLxNrtje526rXDkO+B2MjGTr0J7lY5jVZk4AIAfa6Xvyc/mPNfPlf5winnVbzHM6qUYZTPwuwuoEC0mkQv/ESM0E1V7PbTdNdFeofpdkPwp7vMxnN8lBr2N/QOHccJBJBJDqgX/gA99CvepFNzoYJ4RJFAVRQzRSq34K/jxZNYgHy9lwqKfUm5GKLMrSLz/PeAUOKMZxuDqASCqAlzozAQlJMRlhtLOYZ2SIBKwUMd9ZE6O7YCfgj2/A68v+/GxSHXCvjsgNFfrHsrORvlvJ/G57yOpLC+E76OefxZ144fSysrCEdPiyshZhNqH1URtVzi/TuDvtQm8X/s85N5i5oi/UIrdf27lyNZuymoCrHh7A5HqIkTa+jFU0/dJdVfoe82qqxScw0/T8cvF2LOvIHL+VzGrFk6+7wJ41a8gRISKd9+NlI2d5NSoXEj4zL/Sv1RfzXjlo+8r3JSO7lTxM/BSX8C5x81MJZlIQmcP6oiP/4oHffqBk5SBt8ahf/uRIRu92wqNt2BVlOlw4BHYM85HTO1ym/ibT0F/geniTBOZPjqGpMaIUkOIBlWGgWAgTFNhwkkbqvOsSozpsPROCC1k4o+M0rNl8hB0PIJ7++cRlf/l9558fHwh0iKIUoTbu0fX/06B96yD1+6i/PHrjfyjPsm7Ehzb3sPel9p45Dtbad3fP/nMFn4M2h+C4z/P00ilq4O3k9p9L113X4bblts9vJi86gUEgFm5gMj5N+ePkrPChE7/2NDvwUbyLyMFyi4ACaN8xcaHj3DPVzZyz1c28PBXNnP0/e8i9de3QH8WD74sM5OyfPwaR5tXrbQ2O7wYqq8iUD8DM2QPCQkRMA2sM29GOQ7us0/CwVw+E1nwPFRnZ9bP9Z2NGJ8JqiXHdyFBqHoLYtfA4t8MpcibFB5eW2zM1ZD30P3QP45VSzicsbUYiRKf/hebSRzpKEhBrZRCOQqVUDj/nWCeU4mhRJdDSfms+30LqVgxAuZcAtXBghz8dPMYsVXfmmSfhfGq32IMYE07bVQA1HDM2jMIrfj44O9iRlDT3gvt9+Y4Q0FsE77vsur2Axxc1zGoe+pNpHjBbuLtyfkEs32FSqVFj0IQlOGjgj7evDjh2XXa5m4EYMZfIYbN7k2zWbCsl1RbD15vHCMcYP3KPupidzHvj18c30syQHIc3nfBEHizIWBqpaPXqRVtYkJoAdTdpNulDjJQHGay2GeaJFanMNwiRismkuDn8Uz0hdDpVdiNBcbeJMB9LIW7yoFu/be0EFLpv25XUx8te3qYfebkczaI4RGeU0N8f2ElBN3WzWM3KgKvHQFRfw5WwxtxDz+V5WCY8Bv+GjEzZz9p/CLKbYPu58iqHFJJWvclObBmdAivDzSZvTnNjANhT8ry8euTeNMcgn+cjh1dAme+EaZ/CAnqCM+9z77C5ju2MfP0SlBwZFsrbsJnyc4noPcEFMz1FObVv0aiUT0b9m/SGvngPK1/2P8VlNcHqRYmprzL0uVSoaciRbTDxkRGr2qyIZJVVzNIPuEAmCss7HlhiIHX7GHUCVJhZPX6VJ7C2+zi/nFo/5jAJTXsOTEDIbqO9jFzeRTTLnQxbmvfEpUgw8EMC+UXLiyV7+D1NmGW5ykZWQQmvcUQkdki8rSIbBORrSLyt+nPa0RkpYjsTv+bx2BfHMrf/nOyWzVER3ZmOzLvX2Hpb8HOHoPgJLIHe/konDG01YIgroF5JExgcwVGp4Xzu+Oo0CcHhQNA5fzTcVNwcF0nB9d34iZ8DNOmYqqFQyiko1m//m0kquMnRASJnoXU3qCdwA5+XXsTxreDV5wITaUU/Z0pnk0e4iX7CEeNPrxCNf+mOX4Tdbq93+Lj3Jsk8eU+Uj+Mkbi5n9Rv47hbl+PHa1BuutwBNvhB3Ef9wfM9FBvCbYOPlxkM03Dh29m3uhvfUxlWqL72JC37+mjZ04vnjLwvJ20GVQy+fmKDhEi1jJUacRjJTrrvuQI/WYAD1yQoxgrCBb6klFovIuXAOhFZCXwMeFIp9V0RuRm4GZ3pesowglWYtSvw2l4hY6ZTHvbsK3KeJ6H5+HUfJrXxf5M41qpdkGdUY1ZXsvfFkTU7NSZCvT+BMPFYP4m/uJ7w488iaQXcGX/5NY68+AhuIgZKJ881g2GIjTFj5mJaLXR2ZFgxMrBsZPES7PfeiHnxZci02lFNlHK1jb5IW4rMayta9/fhe4o2M06bGecSfz61qTHmK6W0jkGp8X0vA+7OxxTesbTQTauOvOddWLUR11aYZ4OxzEQdd/Hc81Htqwb7NQNBzphxLq09Ryk3I1S96a0EzjyHZ55/gj/duoNz3tvItHlRNj9yhD0vteF7CitgYAVNrvriMspqhls8hvnPRFZA9Dyk+lrUyxcWfk+ASnSS2H47kbM+O67zxsOkVxBKqWNKqfXp/+9FJwKcBVyLrskJJ7A2Z/SttyHBKp2txwiAWASWfgAjmt/K0b/1efr3HsPrS+D1Jujf20zntl6Obs8i1RUs8KqoVoWlDhtFTzfe6pcGf62ct5yrfvI8sy+9jvLGRcy98iau/tlLGCvekOciOQiFsN5zPVTlWLBZFsb5FxL60c+xrn1fVuEAgNs9PiehcWAYBnPPqsEKl1MerCQcrmSaFChsHSe34AO9whheG9O2IZhHsarQDmUxB+8FB+cXCdxH4qjHn9OfD5BKUbn/KIvaob4lRvCBh5Bvf5PLe6dzyeG5rP3ZcR67tZ09q7rwXaVjupI+iV6HtffmKNpkBKH2eqTh00ionvJr7kMi08EqNFmMT2LLTwtsOzGKqoMQkXnA2cBqoF4pNeDd0Qxkyd1G0UvvWTXLqXz/83TdfSk42iyY2nU33e1bqbz2waxFU/3+ZlI77gB/mEXCV9B9hGDEJtHtYGHg4iOWxVmp6cxzJ5eKXDVlPjRV80/j0m/fmfGZ+8OfkLryotwXEcH+1nfx7r8Lf8smqKzC+sCHcX/7K+gbXV7P/PDHCXz4Y0h1Dd6mDSS/+y3Yt1cvwUNhrBs/gP3pzyG2DValTsSrCi0HOD6s3gjvdJdgJOI630Oh/h35MAzMj/4vJBjEvfcOSKUw3/I2jPmLcH78H5Aofli/ALaneGu8kR1WGdudETkjFDTv7MF3fbqO9BNv7aV+eQ1G0MawUjDM1GvXn0v1R7fR++TncHZlPgu5UP3H8HoPY5bPLuJdDVE0ASEiUeA+4O+UUj3DzUhKKSUiWdeExSi958dawQxiBCtQStHzwLtgeGyGG8dr3UzilV8SPutvRp2f3HM/ynNGbW19TzGLAItTMwgqEw9F4g3nUvv5W0h+6x9h3578s1kezEsuz/q5am/DW78Wqa6Gnh7tSZjK8ZLaNuI62H/3FYxlpyEipO67C+KxrEtwtXULVFXjHz5E8vOfHrJ0KAXxGO4dv0W1tRL8Rjpatfx86H56Qvc3FhJOYPYWowxgmkCQwNe/jXXVO/WvH/vU4CF37cvaBDoFAmIQz8M+cBDDEvwRj7rnKu77x804cQ/TFi78YJC559aglIsc/hYqNAeJLAV0chxn/6OF92uG8PubT20BISI2WjjcrpS6P/3xcRFpUEodE5EGdPXYouJ27KDvj5/AS3tR2nPeQmj5h7PX4fRTpPY9PEpAuC0baHviWwQDCtPMlBBmn8VpLbVY6Z2YgWC/vAHv+Wfh6JHRwkEMKC+HnuwK0UEWLQEnhX9gH6rpMLJ0OSKCc99duP/9C7AsvYJxUvn32qkUqX//V911QwOhH/1c+w642bMr+ZvW42/ZhPfUyuwztuPgPfFH1N9/FcIe9Dyf/z4mgVSIfvoKzW87hgVDFizEfPvVoz53n1pJ6p+/WpwVyhg0ehVss9rxM/Rf+h8nri0snqNYc88h5pxTg2GkIzv3/wOc/jAqvheO3Er1uQ34Th3xg22k2sZQQioPa9rUVQQvRnVvQZfV266UunXYoYfQNTm/yxTU5lReip4HrkElhio1OYdW4nbty/kgGRUVqNa7wG7Q9SoS+4m/fBc71/dSWWMwZ5GNZWsh4bqK+MshwlmsIu5vfp49D6HytbejpIukuK7e/yZHBHXt2UXixmt0u3BEz/gwNO4cL3hW0ueqAweIf+bjcDh3qTd8H3/rZlRLc26ToGmiuroQdTBvjoLJonpVwcLBfM/1eOvXQlOOvTyg9u3V/iLRoSAt96mVpG750sQUvRMgiMklqUbW28fpliQG2SMrIlWBzKfKbdeFmPZ8Bvx+nSLfDFC2aAZKKZz23NXYyy7/wZQmuC1Wde+PAFtEZGP6s1vQguFuEfkkcBC4qQh9DeIcfgblpciwVvguqitHXQLLpKyuBY7+mMFydxi4HftoPepxvMmjq82ncYGFApr2usxuLc8eGJUvSannap/66fUYjXPwN23I3VYpiE1gmW2ks3QPf/B9Dw4dGPNUNWc+7NmVu0EwBDVJOHY7U5XnQikT9/4CdRuGiX3DB/Befil/O+UTf9eV4DgY512I/fkvkvrm106YcBigSoW4MjWXJqOHtXZ2p6ee4wl8X2EOd6/veGSUUlhMg/Cc2pwCwqw5jdCSG4s29mwUo7r38+QOqXzLZK+fs1+3f1wzXHheHcLIh9Kjt98c3Cm0HPVoOTp0TcPsY5ZfPrjFKBjfg+Zm/Pa20auHImD+5Sfw7vxtgdmUM3Fv+0/Yszv7wWCQwNf+Dtn/WfCnbr/e51zIKxvvpNfuo86PsNCrws6TZDf5T1+F5jGiGR1ncBvhr1lF8q8/MYFSd8XBR7HRbsmWugJIy6wMuSUQ351VISxZYnT0AYvwuV+c7FDH5FUbi2E3XgFe4Rr2UH32HArtebKIidJ6hyHH6XHMRr5XfOFg28gll2Pf+MG8buV52bVj9PZCBPODHyF098OYi/bmzAReDDqPxPjDLT/mgN9Kmxlnp9XBU4FDmfv24fgeqoCVUeY5PsRi4E3NCign6TiQuLi57wcIllkjPC+V9uaVzBQESiliB7LnOjHrzsLrP073g9fReft5dN35ZmLr/6PoCW5flQLCbXuF+Mb/h1F75tiNQedXHK+1QcHZbj3GMDfggtyBpwrDgHAY9eKfSVx3FXLGmXkDk8aDAuSc8zFmNKTzE0yd7mH9A024KX9wdvVFYeeaagcHmEcwR3Lsv103v+v1kmW5fUVyMZYHp6/FQlCZeaeSxjOzTVY6CY/C1EFino9yvJzbC691A/EX/xn3yHP43fvwOrYTX/M9eh65sajV1l51AiK++ad0338VifU/zJl9ZxQiOUMIGs/M/pAEMXUWplOB5afph7m3V0dkOg5q/brJZ8UaQPn8+XufpGvLgzipWtQUVhRv2z9a51KGTafE8866WbHt3CZgGIxezUbgrz5H+L7HCtuGBAKYH/80gX/7wZj5KQSwMJjvVWbN3iWmQaTCpmVP72AJwSF8/ESCRFM7sf3H6Vq7J3dHymOUIPcSuC0bcFvWjX1PBXKKvAGF4Se6iL30zXQKtHGsCHxF77bDeLGklq5GGMxKlIKqeptI5eivwRn/4zp17N2jbfjDZwbXyfsCjGf/7VW4LLusk9QznyC+6Xa8/p5hs5BFUQsHZ5ndjhr9bLCPj28LZ9sYl78lf8apfKvGQABv2xZYvHTsvkRQB/eT+qevjhkQRlkZCjjDreN0t46gbyJiIKalf5TP1pXHeOa2PTz1491ZYjUgfqiN5PHuicXFieB15lFCj5NXlYBwWzeMLleXC7GwFrwHo3IhWBHcuEnPjj78Gf8JK57Aa/i/dK7eT8/6fVxwaZCKagMjnapSRC99d5sduMME0eADLIaevU4UqRTEC1QaWhbWl27O7148DB+f5JVtBMJgR23Kl9ZilYUy8yUExltMJxc2M5ZVYVjDrp3Oot9rOLRLfOygrUAA65OfIXTPI9jvuZ5xpxwEEIPU5z9N6vOfhh3bxm7vuvhPrSxMpxRP4BngomgI1HL+1Z/hvb8/SNmMuSjPxfe1jJnRaLB0sUfH6t3E9rfoLYXvk2qfZPCV8rEK3XoXwKsq3NuMzsp0h86DhOsov/xWMIKkdt+L8pJI5UJSTc8hx9fg9x4BT2u9QxGDN709TCKuH87eTmHjy4qdZi/xpMsir4YgJlY4in3xFdif+DT+2pdxH38UiUax3nUtzu2/Ru3cPnVmtWzXra7RyjjXAUvnYQz+508xlp2G+5P/zH2p9H8V0FURIxj1MAwh1FCdJbOVC6li5UP0uORTS/CSSdbde4h9L3dkvN+rA0c505lOo1+eofsZJBDA/vubsa/Xpj01vR7KysZvKs6bVDbbsAvUyZgmvX6cZwKH8PHxFZhP74dnf5VR32TxCpu5S20sSycFSBztINHcidgmKjmJyuhiEpj7NqzaFRO/xgheXQKiegnW9HNxj6/JUSlpAIPAvHfgNq+h90+f1MVaMx6K7EVqQ2Ej/a/J/0/eecfJVdb7//2cMn17S7Kb3hNCaAkh1EAoAsoVBOyKWBC98FOvXrFw7aBcu6JeFcEuWOiIVOkQSkivm7KbbK+zU885z/P748yW2ZnZndmdjTfcj6+8ZGfOPOc55fk+3/r5XviLp3jyhss5cLiRA9KV6ronwPzqtZzo8+O8ssH1rldWoYTA96Ofk/j0dciNrxYuJAyjsOQoAE3H8+nPoc2Zh/P0kxAMYqy/AFHh9vsw/99nsL5z81AoVKHoJU6vnmCGE8JEZ7veSenaKL6UXa35zCltNy8ti1hTJ1bPAEuPNXAiAQ5sHV44tlC86mnjNdXGmwIn4u0Z5aBLWtgP/A1RW4vctNGtt4gWUCI9lUilxG8zO1ytM3UbnWR6VEHTYM5iE90YdZ+lmpxwQOA7/noCq2+YxBhZRj3aGucoK0Lkha+S2PqrcZ+Qm9AAACAASURBVCi6hMuIpAq/6aJkNua6u3jgqhMzH7DHy5u0FXj6B4ZtXJ8P87M3Yqw9ncTNX0E++fj4tmox4PVifvjjmO9+PyoaRW7fiqioRJvnEpo6WzeT+Mj7GLAibDI76BDRIb/mGmsGIY8P57KW1E4G3mnlBObUIvR8Lc/8u4ErKel7dR8yaQ3/RMDGZ+O0No24Vwo8SufUypMoa+9HoDLLu3XdXWlHIH16XNTPRD/1dJw7fw/AQ969xEXuZ+/1Cc64yJ8pICYJvWYl5ZfnVzfzhm6cI8wgodNvRvOVE3vle2PE7NWEhAOAd/E76DvciGZ6MwWEEsTj/XhGKiTxONZPf4j9y5+hWg7nLxw8Hvcln6iQTiSwfvZD8Pmwfvht18NuJd2OWrYFiQQKxU69mzY9XQ3fYLZyarKeph0W85eb6H4Pye4BAvOyFd2Oahs3iNBqGHgx83MALQRymCov2Rl2O5GPvFQFC47x0NqU7l9JCge77RCO8mVnm3Kc/NX+iUIIVwjlOo8QaKvW4P3SN4hdct7Qx0FpEtdzzy2RUNi2KrqAUMnc6diTwVHlpBwJ75L3TFgAjAnNg//YD1OxYCWOlb3eIhjPYsO2tqDa29yFmS8sK612YEJIJrFu+bprSkQj7piRgSGHmkCw0qllhpNenu4g2al10bjD4sBuC7M8ROmxs3NNNPvHkY3ZP4c04QDgxJJuAdoo+AOjFkqKjvpF8zAG2r8mkmSYiJNORr/gYjf13OtDLF3uOqZ9fggEEbV1eD7/ZZyNr6YlrdU4/rGVKgVbX07i2EW+Mk8J8R1/wO7eUdRhjzoNYhD24WdBM8fxRUwMyknir6xj2ZWfYPtdP3AdTEKge/wcd+FH0O9+PHtUoRCiWEiVWccm5oMoAAYaS+xKDuvDi1YqRb9IErBM9u+wOebSEnRvgZGZPDuLARghn+sAHSUkwn3ZHYZJIQmLJCE1hdGi0RWiHg/Ghz+OcdJqtKWpCskbvzb0tWxrRb7yEqK8Am31KQjDQLW2DGmMMSx2G73jnraz1aF5n8XshSMickKfVHGc7HidyOMfAwRG/WmUXvxnhD75e3dUCYjE3vuIvvg1ZKQF4a2cEuGATNL3p1Ppn/llpHRYcvl1RFoOoHt9LLjoKqqWriK+71oiLzxJjxYnqEzKJ8osBa7GoWlj8z4UAV41/KhD0mSNVY8/9VnCdtCjXiibstNjVobQA16caGJISDgO7Hgt9zX3iXimgNA0V6AKzS2Mm4xgPfUMaDoIba1oS5bh+eR/oi1emvNwrW4a2oVvSf9s5fFuEltnBxs8LThCjRl51TRomGcwa37qujQP5ryL0MwS7O7tOG0vMzliYIV96Glim/+HQBbuk0Jx1AiI5L4HGXjsmuE+kdYEuzzlARnrouVvH6NxaxTdFyQ0bTZrv3A7ex+4jU13fANFnHbvfjTcR1kufay16rMXdY3qcJUVQsu/tsLrBdOTlTEqFxSKsEgiUr6+U6x6Asp060y8DuaCOAP/HMC7rhRvTSliZAq35nf9CXZh/U9HQwhB6YpZJNr6sHoG0AKVtETehNf/A6bN1OlsddKsMw0IKo/rf9B0QLn3MRDAuORt2H+9M8XGNAkB8bxbZyhqazE/eM2YwkG2tWL/+jacbZvRli7HfO/VaNOmI4TA98vfEb7yYrpVfNy0jPp5OotXepDCRDc8GFXL0MsWEn/9R+41FsmoSmz5ZVEExFETxej90+k4XVPfTUgpxY7Xkhzcaw9HRoWOpmupHPnMF1JTsMCpYLldk/6FEOOnAxcKjwfzi1/F+tqNeSXuDCZ3Pek5SK+WoER6OCs5CwMNGbRJXNwBhnS3CiHQ/R5Kj509HMmY+x3ofz7VP2Ty74pyJNH97SQ6+lG2RErl3mcBrz0Tp6tNgoJaFeRU3zK31qKrM7+Ihdc7PmdlLvh8+H7/V7T6TGYm2dZK/N2XpXJO7CEHpnbWeoyz16OfeQ5WVzt/fvtCVB5mgjfk4+wv3kLpgrU4vXsYePzjYBc3XKuVzafiXRuyfldIFOOocVLKSHZ26XRM3uY6uNuiqdFOT5tQDtK2sgoHACmgScuyoytVfLMhmcT6wbfR3vzWnIcogEAQqqoIVwR41NdMrzbotByGfXw/eOSwHqkUTjxJoiPFiKWF3LLvrnso1s4W3tbkphE7MsWrIzBMgWEIjlvrcxUpQ2f+jT8m8Mgz7v0rJJy5eKlLWmsYbjjUMDCu+zSUlo6dlm1Z2Pf+LeNjFY+R/NqNMDAwbM4oBY6DfOxhkjd+lvi73wa6TvmCFeNOz1/bwNob76RyzYcxqo8hvumnRRcOAP7j/70o4xw1AsKsP43xpmsu+Dcwx2NHHlsHPLDbnlAKg56riGcqOAm6u9GysFFLFLv0Lu7x7OIeNvNkfRzfT35F4LjVDF53v0jieNzogKxLZt5SqbD6Em5zFxmBA5+HDB6NicGJJrAH4rnDugLKKjVX9fb6ifd2IMMFpB4nEm7qtJLuYnYcsG3sH9yC8b4PYv7nF13zLOvkHNQoqkDZ2kLsrW9Cvvxibq3EcbD3N7Ll0lWED41RXAVULl3FpXftZcbJ5w+fI1dfC80k413Vva4zcxyI0vn4lr133OPywVEjIAJrvwzjUGsJbxlY40njsXfCiWinui/A/NDcHKebAhPO70fLQnqrIZjnVLDYqURKm55dr/HQh06hY8tzDF53oERgr29F+R0YyOYzMdHLF6cOL+7cZcIeM1NTCLAthdANnEScu69YSCt9hZXNKZX1Ido/+i7aWetzh6FNE+OsdH6j5Hduht6ecV8KHaizvNjRsf1ifY1b0mgHlJKoWBZCEqETPPtWyi5/guDZt+JZ8l70ulUuHb42vpasIoeQORpFFYqjRkDoJTMJnn4LY005ufUXTPalnjFbz6BZyHinhQ5CQ/cG0D0+Fl3yERZd/bkMFVbBhFmvc8Lrxfzwx9AXLHI5DUbBQGOhU4me4liQVgI1YlHMXWJClU3i8laUT2bcLiEUvmrFmM4/MbFycD3kS+tANRJKKmIDCluv4cyv3cWL//1RnESMjVoLMeyMSk+FQqLyrwBVisQ173drVrJAO/VMtNXpLQbG1BxGzSUqxneWOokYh178+9Df9uHnUU62IjyFOXMdRs2x+Ja8nZKzv+f2nrUG3LKBIYjsGoVmIvvH4CYtAFMexRBCXAB8H1fQ/kIpdfNEx3K7Y00tS9D8ZR56uyS9XdIN20uordfddGBNI1g7kxmnXIivopaWFx+mpH4+8y54D+acpahdO3HuvxvLTqIp6BJRqlQAvUhEMwpF18xKXr/vZvpv/QCzgzM5Tg+hZcn28yqDqMjcLUNlWopNGShP/51ZGSIwpx7NSIwtZ/VSKDkdejJt9rGgmTr+2TXEDnRkaFZC0yg943Nc+tlP0Pzc/ajUNSWEw26jmxV2Tdp9FAhsHJ7zHOLUZEN+tIC7s/CVmibJZUvgmg/hG7UTiNIyVCQ9A1Wl/qeNOJ+DYreRpZt6Fgwcahz6bxltI6vJqyS9ty9Cq16JsgYQSrrHZpQW5HhIdgytbE5e8xkPUyoghBA68GPgXKAZ2CCEuFcplUeNbSasffdTSP7/RKAbgtXr/IR7JbGIpKRCEIsoPD5Bb7fO+p8+w5OfuYS+A9txEjG6tm/g4FN/Y9237qXuszfycmIfHY/fQ1jF0NFYn5iT9mIP7niFslMpFNv0TnY1D/NJdoRbUM5cRr9kCkVshHAIhAQN8ww8XkEipnCcURT/AnzTKwnMTZV16yGwx4iQyAj0PgQ5eZtzw19fiRNTJNs6GZ13rbU8iJLXsfGnn0daw+fPtfh1NPpEgrBIUKEyGyKNBwV0yTAvHXwE+5qHqFx4HOu+dS9mwM1uNd7/IazvfjOt4M1G8qjnAHUywEq7ls1aB/vNvpz8k6MxffZwGb45Y23ueiIlkR2vDc0zOzTQfWBnVrNazU/hnXdxfpMaA1NtYqwG9iilGpVSSeCPuC35CobTu4fIc19gKoXDSJSUa9TWG/j8GmUVbux6zTlemv50Df1Nu3ASqXwM6eDEo7zyg08B0LT5KbqJYAlJXNg87Wka4jkYIMkmbez2IDaSZ8wm7vPu5p/mQVq1AWwk27Uudpnpu1RUszmg92GL4QJuG8lmo2PohZ0+W+fUC/zMXWLSMM+krkFPVXSnDhACYej46itTo+puv0hjWu5Jyhhuz84CtTnhgbnfhpIzyPYcVbSN5kf/h2T3vrTPW7VIxtESRZsWoUr6KZ1gopoAKh0vC/o9OPEoXTte4dVbPzv0vXHJZZgf/ySqvByJolvEecrTRFyzadLD3Ovdwz5PduEwbXam6j9zvo7W/dzQ31pwGoHVn3MX+YQgswoHlE188/9McMx0TLWJUQ+M7EXWDBTWoTSF+NY73My5fGGWgGagVy1DJQeQ3TtATiTzUoxo9ejQvflx7Cxp1n0H3Bx4f80Moh3Nw59rCZ7yDt8CoWBZogYziwYhUfzd2+h2DRfQrcd5Xjs8ZuDldaOd/vISajvj2Mphn9FLt+bueIESQcNcI0WEk+LVFCI1nsKoCGKW+vHWVaCZgy+0hPBzGQSqRYFKQt8/MWevI7n/7+kvtzBQMknzPZ8lGU/fVcNakh16F0udqiGHZVJINpptHGvVTsqE0xDMccrYanYirQQHnriLk//jx+6UhMC8/B3sTBxk8+1fQ47o1Tm6e9ZIhMoEC5d7aJgr2bfdQgBzl3qomu5DK2lIO9Z//L9jzj6X8ANvz97waTR0b14ZxGpcZ31++JdnUubbm1PGOgoqzvIsvMwljAGiG75FrHv7BOeX/neoRKJ7PDij8htCM9woxor3fZ6nb3wHTiL7A1ICdpbEOMaqHm4FZ3pQjs2Txr4h4TA8gXEmaJi0+ZLs87RkEKHEIop9Oy0qa7OHxrx15XirRheLaaAspqpxLz0P4fEtJzFtFXbrBjcHwAyAdJCxHg7uSmYNM+82e2gywtRIPwkc2rWoS0ac4zRRLDabHcx0SpluVKCSFgKV1bQb+ZnQMpeEk4gh89mcBKxc46V2ho4wDAIlDtV1I8bTTHzLrwZczTP2yn8T3/QzlBVxmc/ygDHvUmTrM8hw05jHCX/NmN/ni6kWEIeAkalpDanPhpBvb07PvItJ7rk7b0p2FR1W5eObflY0Kve6WUH27tGJ9vYP2cm6188J134TgPo1F3DqF2/n5R98imh79odoXvFOvMe+CetPv4NoBOPCt9Duc+i/6f2FW1CORbQt+3mUBH8wt4RRyWwv/RSXUSsLEdtGyXm/xm7fg93+ClqogcgT14Gyx1QS48JV7UfigN7HNBlM81PYSHYa3RzWB2jTo4REL45ps86ahTFKQEgUh0ckuZnBEhLhHrwlFUTam9h8xzdoffkxhMtMMYzBUNeIKMeM2QY1M/RUKffgfRRuxKvmWIKnfxM95TyMvvR1971MlQ7IPHkk7d1/BP/4FIDjCZB8MdUCYgOwUAgxF1cwvB1450QG8sy9sCCqMOvgozj9B9BLZ6Os4jWJ1UyT8299nB33/JpDzz2AHw+LrHKq7vgT9gDo55zPzNMvIVBdz6OfOB87lh4bF4bJ/Avfj96wAH3NqUOf9/zuFteWzUdAGCZCSlQeGV0tBx2WnZD9O7OqcvgP4QUkxe3mbbhjZvgqkojIFjyzLsQz62yUkyDyxPUIISiv0ujtGv85G4ES12/ghe5ZC6jd2QymBycSplnrZ7/u5gE4SPpUFHR4lma86MSEzTQnyDynnKhwNY1BxDoO88yX3sWpX7idB69ejRXpT8ug1QwToRsY/hC610es4zAIQUUVzFtqDpHvDEOhlczEM+dC5MAhYl3bUfEu4q//dFTIMt93W0Fs/KxiPVAcHtEpFRBKKVsI8XHgYdww521KqQkVVAihFVYOK5NEX/kOJeu+j1l/OlbTExQjRFp2yb0YtQs47kNfYWmXgfXCn0ke30ik0kK8+gCenW8meO0v6NjyPHZ8lJmh6ZTNXkrnlud57mvvR0nJgjd/gAUXfYCSmQsxvP4MgZIVg+39xkBphUZdg47jQGeLTfV0AyEEesiH0DS0hsvRl30w1fLNhsoLofcx6LqXSRVAAWiVIByQ8dxmYfM3UGYlonQNQvdizjwLq/mfHLNa8uJjMaR09wMl3D4Ro/MR7GgYX9V0NMOk/9RVNNz8c5KbX+XRr7+TaI4NoVuPM0iS2ysS7DJ6XJ/GiDUt7STtG59i6x++jR2LZKTXS9vGsCV2oocENrqps3qdSUm5gcjxfslwE7GXbgKkW5SnRmoYUwDdi/+E64sy1JT7IJRSDwIPFmMs4a9BxfJvEm63ucUqwbO+Q99d61DxXiYnJAQiUItSkuSrd2I99icSF7eCmYoihGwS9t0c+KnB5rvvzNB4KuavoGLhcbz03euGSExfObCdzm0bOPlTP8JfPZ2Blv1piU1ZodRQnkA2zFtmMn+p6RaSpgoEYwmN6WvnonkMECbC2OI2ip35n8PDBpa6QsIZLwvPcKs8ZZb6E70cat4ObbeNwxch4cAXUcsfQGgeQufcSv/9VxDSdnLmpSW07+8nmdBA6OzeFM7aJCve5ZLpbvvDf9O7dzOnfvEO4uP5TsTw/+fK0JS2xYEn/pwWagW3TH61NWOoBL1Ni9K7opOSMoEmxnivRm5shRLmTgRSohep4/dRk0kJ4F/zxYKOV3YSu30jMtqe8upO8uFoOug+Bh5+P9H7bsBe2E9GdxRDseO+36WxGANoHh+z172N/Y/8Ie07Jx5l/6N/IN7Tzvk/eZrFl16LZuZDWZ/95fb6BPOXuaSoQhPoukA3BMGQQHh0hK4hNMfNZdh/A8oZsdvGdpFfDwyZXTiAGyLt+G0qDJoHoq5CqfmrKb/8ccre9jj+OeuYMcfHnEWCWfOcoY7rueAkYhx+8e/Eetoombkwv/OOg1h7c1oJvlBwenImpcqDjobmgcpTE8xZag4nnk0EQsP1Uxjuv8H/1v15Oy6zjZnce+/E5zQCR42AsJqfIvr0Z1I3MT+o/kb6/rKe8GPXjrL3JgBhYNafiezeTvLg48hQGBWQWdeTlYWdWCbj9DftQvdkLn7d9BE+tBdvSQVLr7h+Qq0eBlFerWXNDlZSoexRXygg7GpZauB12Hs9ON15nGUMQVv3PnDy5eqQblLWCBiVi7FbnhuKomi6YO15Ptac42P9ZQHWnu+jqi7zpmumh2hbEzNOviDPc+eBEbt9jQyk8WMm1neiZscn39xssJOvslPmmPu38FdR/vZn8Z/yZTKWqTDQa1aCL7NgDwCZQNnFab58VAgIpRQDj13renwL5aFUEtWbo5t1AdBC0xGBGhLbf+vOIyBdM3L0dBRU1uoITSNUJlh1lpf1lwY4/cIgc46blRZLH4RjJSibszQ1XWdSPUDjsSy1IwBSoRmjFpZKAsqtB2j92TgmQT4wwdtA3q+VWQO+BWkfJQ88gkqm+xC8Po3yah3DEJSW65xwmpfy6vRzSCtJ2dzlND19z2QuICdGRklkuYWqsIrUcCyLJqgcVKKXyLNfILHtjlTEZIRtZATwLLxidFwlDWbDGcWY3L8+DyIfqFgHMt6Vx5EFpmHrQXDyi3DI8CGSO//oJqqkziMXxNzNNOX4GpzC0hNMtrxsc8JaD7qhEEK4NUIHbuX4t57La/c8NmRmGL4gi956Db5yN24drJtFaMY8+vYXno1u+IKEFp2BUbIXYmnRZISuIS0bPa0zmQMHv8QQY8ukYcPO95Gfk1NAxZvSqjsjz3yK+NbfjtPOwLX05i01efXphEty4/Wz8gP/xUDLPuLdrXnNVOgmwjCROfJVhIA153oJhnTaDtlE9FPRntgHCqzl/UXtRpgV1gCJLb8k831WYEeJPX9jbqe9MNArMgv5JoKjQkAITyl5vcDeKkhkKZ/NhYJCeil1c2QWmyDrixIIaqw6w+OakyPn7SSo5klOOLOKw71rQPez4KL3UTt/Otbh5zDqViF0kzO/fhePXH8usc7DY85ICFi00sOs+QaaoaFXLsVsWEZi8/OZl+pIBrYfouz4UWXpRU2IUmDn60R274tSCvqfRrbfS2L7r/OisxdCEAjpLjGMY6Nsh933/pzwoUZUnk5A3eOlZsUptLz0SMZ3hgnHrvFSVuEuj+mzTMzqLnzrv03stx9Hzh2fWq44yLHZjaNFm/PeXBTCWjhaBIThw7f8KuJbfzW2L6EQ4QDj7lRjzIjxNJXctqmkqryHmpktlFx0J+H7LiW8vd9NxBE6XZ630Lx5Lw1nvJW+xi10bH4OzTBQSiKTCQx/CGnbhOrnMXOuxozqg+iaAyhk9zYS3bk1DyeexIkn0X2T7d5tMOlQqDDBnAGb14FKIqSi/KT5RPe1kWgdO4oiHUX7YWso9V7aCcLNe4i0H0Jma1UwCrrHx8mf+SmhullEGp9FWjEG+tznqWlw1lv8GMawSaFp4IQPEtG/ibMqHx/NvxZmXY7ElwngqBAQAIG1X8GJHMbaOzU2ZlZoZg4hMtmCMYWMdhC+/3JkpIXhGk8ojdxB68tR1Ev/cKfg8WH4Ahz7wS8z64xL2feP37Hpl18i1tHMjuYwez2wep2PQChPu79YtW6B4yH62gR/bED126D560NanNDchhiBOXVYfTFkLLt2p4SHRDzBvu2Zz0UmY4y3tQtNZ8UHbmTmiSfRf/8VnHKuD5l0G9q8+lQcyyI7qY1j4XRuofh0AxoiUIM541TQvTi9u93zTMKpbh16Fn8RCGvd2R0lEJo+KeddgWcDTynBs76Hf82X8qL5mghkrJ3RK9YwYP6yYfVQJuMkw73sf+QPGF4fm277MnY8ghXpx7EV8ajitWfze5k0r4nmK4bqaY8hHAzGNtANmP1Vl+cym4knBJ7KVGRDE6PWu0YicCLPPe42EMsG3euDLPUUg1DSIdZ5mP4HrkT2NSJkAt0Q+AOCk870kYgprEQWKSqTU1SfIjHqTiJ07s8Jnvp1vEveVVhCYNYhi9cO4qjRIAC0kplj7OoTHdRMhZpSqXtCx5hzAaEzvoUenA5AbNNPIZqf8ytvSDurHSKEYM5ik8bt1lDRkpIOnVtfpPn5B8i2g0X6FYmYxOvPIe81gWYahJbUT2lzXhc2LLwdIq9A/4sQeX04OiJ8UPde6Pi9m4eRA8LU0YNe9KCXZPtIzkaJL75xTD+DYyXGZIEy/EGq59Qjm/czUjgLIfD6YcUaD3u2Jll2okugO+G7NWiFCuF27c5a9+LCOvAI4Yc/gHXg4RQX6OhjNUTVCog0oxK9wwJE6CkH8wiBZgTwLplQNUNWHFUCwrPoCpcFuJgYLWyUg73vAfraNlB66T/QS2bin3s8mrUJlCTR1ovdX4QYs7LIxTKiJMycb9De7BCLDj/82LM3gB1DaFBZo+P1QWRAEemTCNOfnrQ1WJyma3hrS9H8XjTjCCmMVgei5h1Q8w5U//Nu+rbV7qZe9z87lByVDUIT+Our8M2oItHaQ7JrgLQ0St1k0XlvZts9d2UfIItwqJ6uMW+Jh0RC0d6qEer6dVZHnxCC+tkm9XN8iGA9aqCZcU2Kkd25BhOmpMKsDIECsyKEpypEeEsTTtRiMM8hfc5JrMaxTGeJ6t6WqcEox01JVwqlNHTTwLfocjwLLh17zgXgqBEQStpEHvkgU0ICm+180Xb67lpHxQWfwldxGKFKUErhqSoh2RshsvNwxlw8Kz6Kf+U19P1xzVCV3pjQvO6iGQXDhIXHeFi0Alqbbba+KqidXUp1RS+lFYLj1voxzGEFRCoN//IrCZxwPRgmyQ0fQ4Z3YJb7QSmirV4CtX40z2AizhSj+16Ubxb0Pp66oDK3yW+Wa80FIcBbV4Ye9BLePIInQdpULj0F45G/Y0fzax6kUrkpSimmNTiI6Di8C0JDr1iIPZDjODOIAPxzqjCCGvGWHlTSxqwqQZg6kR2HMcuC+KZXuFN2JEZJAFF9InbHJiigXGD4InIxTylefCyG16cRjXs5++KPFlVLPGoEhHXwMZyBQ7lDPMIoPIlqPCR6sPf9CrPEtduFEKALPJUl6MfNIXagGztioZUuInjaNzBqlsK+T6OZMlNLzAoHrXwBsv/g0I6vFMN5E0Bdg4EMzmN65UE0TXHSmb6M1F5dKJK77iRw4ifQ2r6Hr7IPKqpS32qU1UyHOd+CAzdAIo9dMfU715cwshozT+HS/xKE3zvClp7YcxGahhH0Dbfs00z0ioU0nH012o+/Ou7vK2s1AiENK+HOP9+FIwwfRs1Kt//raGeh7qH04r+gy1cQnb8FFKEF04e+Vo4kIsAoGabAE2g4SZDR3RMTDmPNVQPDFHS0OAg9yc6//oRV13+3aOMfNU5Kp3cPONk9U97lV+FffcMkqLtyw+7L3KWEACPgpWTpdCpOmkXZEgND2wMHvwrRHQRmVeVnvGoGobN/jHfZe91cD6FnuCUMQzBnWRmG6T6qnHn/MkHimYsh/Pwo558EuwfkACz+AzR8Ib8LR4PgCtACZFWLx0Qi5XewmXw4VEfz+dxU9zkXUPrmv6B7faz/3j8I1c8j243WDVh7no8TTvOx5HgPK9cW9l4oaeNfeS3CyMJzqSB54B8I77RUiXw6pO3gqSpxmxUDSkqcWBy7pwcZLg7T9EgIIVh2gjsP5dg5OUgmiqNGQBi1x2ftCaCVzSN05rcxao7Nq2dAGgaLY3JBE2jePJQsOeBWL4afB2w81aWIXJ2yheaaFroP3zFXY05bReiMb1H5wf2Yc87P/hPDhzn7vOw0cAKMsgBGqX8odToDyoHuhyC2E/qfJD/pZUPktdxFWTmhU8w0Q6EpSi59gcpr2ii94A40n8thUbHgWN7yu22s+sT30TzpC3nBcpNgqTbUsSu/YiqR2o79BNb8F5q/EuGrzDxMJnE6X4eK9RnNbZSUKFsSXDQL0hduwwAAIABJREFUPPVIWyd+uJv+zcUXDCMRKHHnoPsCNJz2lnGOLgxHjYlhTD8Fc8YpWIefc2nKhA66h8BpN2EdegZ0v5sGbRXwQmse0D2QzNGyXSrE6PqFXBhVveipDJFo6clYr57qUsxF12A0XOz2OgCUk8RuewVzxulYTU+mt2IzAviO+SDmrPWEH/4AdvPjQ1/pIR8ly2YOvaND/TQz5paA7geg5+8M54bndVF5HJNy1wufq1rp1WAdGvdX+UN35137bkYLHiEEi/7tIwSnzWbLr28iemgbVVURZi4w01m7x4JmElj9BeyuDQgVw7vsg5gNrqA26k4k2bePNJNM92FMOxmhl6DqP+umquP6B1yTKEW8kzyM0FTKiTnZezA2YhGF4Q9SufhE5qx/e1HHPmqa94Kr+iV3/5VE431ogTqMaauJPPWZVFjIASMIyXBuh46WPYQ0pk0uoOKUxQU4ftwsQ5mw6HttHyrNA69RtnIu+vQ3I2bfCIB1+HnCD77TLSpDuruSHR+aq/+4j+Ff/TmEECjp0P2zaUO2ffmqBS6/Q0EoYtuABb8BT5kbjYm+Dsl2GNgI4aeLdw5wVXmzChb8FGHmqGAEuu84BhUZOz19NMw551MyV7pRlsH3oPY9iGkfxOnb5/KI2DE32qV7Ed4Kyt/+LMLaB43/znjXqZTC7osS3lpc1X9wbIRBt+8SQsdcwfST1qd3Zs+BQpr3HjUaBLiEot7FV+BdfAXKSdB926J0jcFJuO3JbIfMRT/InjIa4zjsFIOew3xmCEYFOGE0f5DS4+YTa2pHxpP4Z9VglPjdjMEBVwiqyE6s1z+Mv95LsjOMHY6B0NAqllBy3s/RQw0IzzCprHX4aZeYQIEe9KayDwvF6HsgcnyuDV587qHafwpzvgnJFjj8fbAHQBUSAs5TWKmEe46D34D5LhGxcgag/fdu2NQzHVX9TlQk/1wVYeoYFSF8ZU2QHPUOtN2OKlmLXraMsiufIf76rdidWzBnnILv2I8gvOWw97/ymrsQAqPUjxbwImMqlbc9SeqBEWP7TrieRWvy9SsVjqNKQIyE3fJCdvpvO4r3+E+Q2PmHUclNE0+RlZaD7h0tmXXcFyStDTg4YWj4D/DORO9+mJDv7sxz292ow7eiOv6Ib1oIhMswHTvUTbypE9m3F81bDqbf3SVUEiKbUe1/G17PMl+hNR4U6JXgjGbbymPxDrwK4Reg7Q6wRjfCyfPchRw78AIqthe8M2Hne8DqAmyI74H+F9zFlyUPQnjK8Cy8nMTWXwyPZjlYnf14KoMQKh31Cwmtv0LNuwktWE3wtG+4v3EirqBKWmDnMEtHz1opkh39yGjqXS0y01x800/wzr0Qo4j1FyMxKQEhhLgFeDNu++e9wFVKqd7UdzcAV+PekuuUUg9Pcq6jTm7kzKhMbrvd7WNYJEQPdOCrLUM5EqM0gGYarv9ClIAzKmyl4tD9IJSdBT33kV0wSej4vcthOKgF6AJ/QyWJtl6ULVGNn0TIg4Dhag3Ci0lkKPfCiSVxEha6z5NFkyiw41VWkhjHdYqOlV4sY24SVHQLRyS/AuDgl93FaY8szFMIknhqa0m2t6YLCd1P2bs3En/9R6nMwxErVCriTV14q0YLCGDgWdjkciooLQQIN/tT8zBE8jIGlO2Q6AwjExbx1vza8k0IdpzY5v+hpK7ICYQpTFaDeAS4IUVO+03gBuA/hRDLcBmslwMzgEeFEIuUmmyS+TCM6SenHnhmGE0l+ygm95/V0Y/V0e8uZgX+uXX4p1cCOdTpyKvuvzGROT8lFUbIh7RsNDno+bZSmr6N0CG0pJ6BHYdACAZ2HCK0eAZ6wDvCR2KCb7a7q04WegU4/RkO2DSEhzuHj48i+D/GuK7gnBKUFcbqHnCDEoZOaNkCNG8QGW7OWuMgrTxeSTlis8kj2cuJJenftN9tVJyjWXHxoFB5caVMDJMKcyql/qHU0Ap9AbfvBbjt9f6olEoopfYBe3Db8BUNQjPwn3JjjolNETGoVKAUsf1tOLHi2JEjIXQNNEHJkoacx3gqQlSsXkho4XQCc2vR/V6X8Vt43X+z/gt8cykKYYFZDXO+7vJM6uVkDV8qu4BzTe1iEbqgZEk95asXUHb8PMpPmo8ZdKDtdjxzzgMjM2/BLA8WfR6RxjaX3m/SwiGP+2oEippanTF8Ecf6APCn1H/X4wqMQTSnPisqPA3riI1WG48ElCLZHcZfXzX+sRnQARPXKssUZCWLx79NQtfwpHXE0qDugxA60fVLxPZQlMVodSFKT4HSUwBQXffCoe+QWYX5vycSBrjUekPhaQltv8GsvQpj2hrsw0+7Jojm9iQNzC5OB6qRsPuL0/Yu230V3gqUTDLIAmY2nIl30eVFOl8mxhUQQohHgWydXD+vlLondczncVPmflfoBPJtvZcNdtsGN4+hSASdeUOIvMJJmRhsJGORTThMKoe+7X+gTWRZvJNBEpU4hPC6QktUvQUV2Qw9DzJxoTC4cI+kULcQHb+mZOlirNJZOOEBNJ+Jp6okd+7IJCB0La+mRhOBQlB60Z04PTsxala6CYRTiHEFhFJq/VjfCyHeD1wMnKOGkyrGbbk3Yvy8Wu9lg1Y6Z8q4GsaDJ6OnZT4ocq3IEJyp0aLsXth9FWrxHxBmlVtmHVwBvf8Y23mZExrUfQR8s6D5m+AU03knwKhNUd5lyyZNImJb8VT4oKL4KfmDsKMOys5yfsMP3nKItEzyBDGMupMwZ5wyuXHyxKTEpxDiAuAzwFuUUiP1qnuBtwshvKm2ewuBlyZzrmwwG85AL5nlepaPEISuEVraMIEEpZwj5vj8XyP40qHcIrLOv6Gsbtj5LjffYahMfQIaT/sv4NB/w8wbILQa8OKaXIVAA7Pe/Z0IuFmciFRkI9ceI4tfzJeCUm6atTWgiLaFslYcG9XHopmhLL8uEDJJfPtvJz9OnpjsW/4j3Cf8SEo9fkEpdY1SaqsQ4k5gG+62+bFiRjAGIYRG6VsfJLbhJuK7/gLxAjkpJwDfrGo8RXVsZXmhRZD8tAINd3EVj0EoAyoJsR2w6yqwO0Z9aeDOP9+Fl+r9aXfC/s/C3FtcR2jvI2NbLMIHpWvAMwOCq1xaa6MCzGkQ3eyyU/U/w5E1WzR3ytLGiSUZ2HEIGbcYTjBLh921DS1U725meTWSzhHxUQ6JbXfgP+aqSc0+XxxVqdbjIb7rLiJPfiK9lqHI8M+qxldfmeGDUEq50YSiOOzysdMF1H0IOv4Isn+M4yYLzV3EVrYyZR188yHeyMTMJy31b5zfmjWw9C8QPwD7/sMNvaLAqIa5/w17PpJHu8AiQXhg4W0I/zwGHvsA1v4HkYlC/D75hnrHOE5olL/7NfSSmdm/H2/kAlKtj5pqznzgnXMBnkVXgFkCuh/hKUOvOR5j2urCKz1zINHWl/Hc1FA4q1jC1mFs4WC4Zdttd+QvHEQA/Cso3CyQYOVafA4k9k3CDyQZX7Bo0HADIKDxE2C1uQlaMg7JQ7D7QymBcQTR/zQAdm9zgcIBCiuUy/GslCT6/JcLPO/E8IYRENJxaLx1Pfv/fjuxvj5wYiiZxKg+htJL7sG7/AOuo2iy50lYhLc348SSKKWQtoPVG8lqd04OmrtbZUBA6PhUwlABpoWKQXwHBQsx4R07pVtZ5NeRa4IRGs0HoRMgugPkaM1QpcrRj6AWrJKoyHZ6/3YRTtsrR+aUSqGkwnEU8Zgb/Yo3ZvbzmAoctbUYIxHrbuMfHz2VWKdbMaekyww9fzkkdt1JYO1XCJ1+E6HTbyLy7BeJb/llqo5jYi+W3Rel79VGN7NSKrzTKzDLAsW7IOGFygsBAV1/HfWlgoEN7r+CoCYYeVCTTzwTPob8D4Wi5t0IzYOScQp7XjpT4ZNQCmKb/4bTMtofMxVQJJIazzwQRjcgmZLD85eaVE/vx3doLyX1E2zwmyfeEBrEhu9eT6T9MI7t9lKREvZutwj3ShAGKjbsvAye+lVKL3sEPFny7wHQ0Upnu6Xj4yFlWiQ7i6Xietz6h7KzYMb1rpDQJuoQLUIURPig7ipo+NTkxlHxiedndPwWtfvD0Hi9a1rkA+GBpXfC8ocncf8yoZRCxhLEW6beGQ6A4efggVKsJMSjIB33395tFjs32zQ/c9/UT2HKz3AEcPiFhzISU6SE9sM2pXUmMtFH5L7LsLt3YFStcOnpktkWtcCz8K2EzrkVGWmh768XoJIDgEzR3YmsHmhlOYR3thFaMgch4hNIeBIw7VqoOBv0EkSq47Xyzp7grg9ooVQNwUR2UQGhk6Dm3eCpBSSUnQt9Y6m1BRaI5QsZTRWD5QsPVF8OvY9B39OuiTIGxX4hcGJJ+jcfPAL1FS6Et4L9m/dlfC4V9HTCfO/kTebx8IYQELrXj5NMr43QBBimDsKg/y/DuV5WpAXr4KMIb5nbY2AkTLengNAMlBVFL52D3foSwgziPeGTOF1bsJqeyBolsQdswns1fBVhPJWhwjIthQGajvBMT/9YD6Jq3wttv8jxwzEg+8AzC5LjMDgPwpwJvno3lFhzBWDAvk9Bsi1lYowjqDRv/js8AJ7UmAo3n4FUnsJkFp8B0z7kJnIlDubpGxkbI12FTjQxBb6mHNA8BE6/BfXrK7JOSgiYddbU1WAMTWPKz3AEsOjfrkEfLU2FRrhfse/1wyQzOiVJlBVNd1rqPvSKRZgNZyATffT/9QKXc0I5qGQ/8Y0/RK9egW/ltdnNDyuC0/4asYOdrtmeepHcngUj/qGhyAyR9j9xC123VtF920K6b19G9+1LiTz9WVTl2yCwHBBDTtG8Q9P5CgcAuxVCJyIa/gM8M13hkDiYquTMwXU5CK00z9j+SFiuKSB8Ll1gww2glxU4xmikeDSTzeMKB/d5jD2aUpDsGRhiBTPLAjm0B4G5sMj1ELqH8EAQma0JkBCcdfPdQx3hpxJvCA1ixfu/QDLSy977f4VSEqHpKDtG854Emg57tlqsWe8nVDpiYSob/0mfxW5+ChnrxDP/EvwrP4oQGondf3ULYkYuCjtKfMPNqZ0y98snY0n6Nx/AP7sGI+jDiSUQmoYe9BJv6SF2qA9zbj2+EgOlwPAYxA62YXe6Tq+RpbvxrbeTPPQsniWXk9zyJDLs8jYIQyMwrw5vdS4/ygSgLOj8C9S+y81rSLaR924+oTwMNbyInaTLO7nw57DjSsZvVuMnO3OVB3DGLcm2Ew47nmynaWMPvlIPy86po25RttR5hRyIE+1zNUYZt9BCXmQ4Nb7uVocas851u2IVA0YQkARPv4Wtd32JQMAhOoraZNpJ65l+0jnFOd84eEMlSjmJOM3PPcBzX78KaQ0vYn9QsPQED7UzRshDzSR0zq14F16WNoaM9xL++3uxDz8z4XmkQQjKV81HMw1k0qbr+d3s2JgkJr34Skym1ThUVckxIokiO++FplO6Yg5GKDO/QymFTNok2vvwz6jMvyBJLwGjChL7C7g+T5EKxDSYfp2b29B1TypvRbnZpCqJmzGqXObp2V+DA19M46lQSuEMWMiSizGsx9HM9PvlJrIJlFQ8/O0d9LXGcCz33ddNjctuOhbDk+7YVY4keqDDJR/OBrPUJS1yilUsqOFb9RlUopvE1juwkxZCOXS2Omx8PjEUTKpevobzb/3nhM/yfzZRSvf6aH35sQzhsPZ8P9XTRnn1FZj1p6V9JJP99N15Jnbri8WZkCbw1Ve6DFSAY0l6uyWxqKRzX4TmTb0YwhqHOU5lrSFIxiQDXfUZuRJKKZTl0L/pAHZq58vgP8rq2TfAiRYmHBBQdRnFqRuR0Hor9NzvCofqK1PjDmYUJgEbZUms16/Djgz7gaTt0P/6fvq37GfgpdvofXkbsabBRS1QmEhHoqSiZWc//e3xIeEA7nPZ9MBhHHtYcxk0CZMdY2hHVn8RhUNqLq0bSGz7LTgJDF2iG4LqaTpzFrkbge71M/OMtxb1nGPhDWFijETfgR1pf89fZqLrmQ1n9Gmr0AJ1aZ8ltv0GGe+cfHNgXWCWB/HWleOpcCMSh7f28uztjUhH4YxY723NDiVlGroxPD8pVc5eDgP9ktefizMQViAepv6UN3HKexZiJl9AOUkS7X1E97WBVISOm5OhPSi8iGMeQh3+BdaunyGT0u2rUVLlUs+Nqv9QChAGIkvGo0JHeZYg0BAjoiXSdlC2g+Y1MyI69kAcOxxD93kwygPurk7KEaiSw5Ks886U03N43HhbD9HGNgb7YeoBLyXLZxLd355yIDLE/hQ71I05bSlG9RJU5ZU8/JEzWXXlLPpaYsgs1ZY7nnBTyZefNx1PQKfvcBTR0Y6yj2R9h8RqepzRpp1uCOYuMWg64KV09hIWvfUjR2xGbzgBoXvSS3lLK7Ssi81peY7eP55K6Owfodcch9Ozk8T+h4vDLeG4r7xR4kc5kkTE5ulfNuKMfDFTG+OB3RbTZuoESzQ03Y1zx2OKUKnbyEUpOcxT6yheejw2lDADksMvPsrzwmDNf97NwO8WD9H660E3A7KzcYC2vWGqZgWpW1SCcqJY228l+vIvkIke1/4XGqHjZuDxZQpG5ThEm7oIzCx3iVhGQibpv/fdGGUBgvPrQEF4RzN2bzRF+WYQWjIDszSAUorIrhaS3eGh0IDmMyk5Zhaarg9zcw6NnW54O7GkKxzksD5kD8SJ7G3D7h3IdJc4DklrJeac/6Jv10YGejQe+e5OhJY772vHE+1DggLgvMsDeTbdKRRjhYSzm/ymV+OMT3+Jaes+NkEukonhDScgZq27lPbNzyJTYc++bkmoLIeQ6N5O391vRiuZiQw3gT3JsNgIklerK0xvdxjNa3Jw5yAt24iHn/pP6cDzj8apmaYTKtMYCENo5jEcu2YtetVyIs98fsjG72xzcEZtaNJK0Pz0PfzluQc44+Ig/pR8tBI29319G5GuYf9AqNrDBZ9awsCrN4Ntp5ku8X0bMZfORDB8vJIKq3uAZEsHgZnlaedVUuHEksiERbK9DzSB0x/FiSaHrk9ZNuGtTZSftAC7P0qiM4wYvHDlOnSje9oILZxGb2uSxpe6kLZk9omV1MwtSbtfya5wRohRAPG2PnSvScaC03SE4Wa3essqUakbl0s4aBpU1uk4tqKnU2IYoBneAqMzuVoIjD6ZjjnnIqx9D+Vdgi4QlHpbjqhwgDeggJh3/nvY9/Dv6dnzOnY8wv5dNtNnGQihsicw2TFkz26KkeSjVy9DJfpSBKm2uwiSAuGrRanGjOOHOscr6Ghx6GhxQGis/MwtBFeehhACrWwRzb/+NwJBSbjXycbqDoBybDY/H+akM/1oGmx8coBIV/rBA51JXvnbQRbPzdQUws1dbH5Z0NnYhsfv9gg1fRozZ0qqazTCW5soWdbgsmkhkLbtkuemkGztHXIEps1LKjq2tiOjcbwZVW6Q7B5g34YuXryzaci62fNcB8svOo4V6wNDkQ4hhNueZPR1S+jsq6fM30oiHMMfFK65phl4Fl1O34EdKMeh+phT6Nj8XJp/CsBfWYlX6+GkM/xD7U9sS9HZobtl5QW8Ft6V12LtvQcZ7wF7jOQsJVMh9AIqYIUOZvH5M8c97RspijEIJSUtGx6h87WH0Jt/S+00Z4pUxXQYdasoufguIk99muTeewDwzL8EWb6KB//z40hn+F4LDWqmG/T1KBLRTDtX6Aaa6cVfWcucc9/Jvkd+T6yzZUgzygVNF8xdFqBxSyRrnN/wwPq3hkjbnROKpx+MYlkiY5cGqJ9nsGJVKqRX4ncb0kbSF1o8JvH6RKaAUIo9Wy0MA2YvMjOeQyQsefbvsUzBp+tcettv8MX+CFYHMgndL2xi5Abq2IqmRotdW3WQ1pAfZPFJlcx7+7d46ju3EGlvGtIeNNODHc1szRgICU5/k3+ofYCSytVACt00PGWUv/0ZrOansLt3kNj886I1ycHwU37l0+hl8yY91P/ZKMYghKYx4+TzOfaa79Gw+nQ0c+pTUjECeJa8A81bSvD0myh5818oe9crlJz7MwI1tZxwdgjdAMME3RRUNAQ49tzqrMIBXI3AiUcYOLyP7X/6Losv/Rhv/s0mVn/qx+geH0YgO+WddBSN2+I5k4A0ITDnXuR2IEuhqdFyHac5fnSo0R6qIrTDsQzhoJRi/w4r5zkP7bdpbrQzhIBtK/ZsSWbXihyHrkNexNK7EMc+SVPftbz2TBwrqbAtt7Kxs9Vhx0YLmYwjbWeoFmfnxjiP3/QV+pt24cSjSCuBtBJZhQNAIq7oah9+DkITrnAQBSrYToLk7rvxLXkHobVfJnD6NwsfYzSEjvBVUXLeL4siHArFG87EGI3SC/9A7LUfkth1F2g6KtKGklbKGFUIXyUq2l6YupcNZglacAbRl24m9tr33SQaJ4E5+wLsg3+nulJy9r8F6O+WmD6N2hOmc3BHfud04lG2/uYmll7+7yx8yweZdeZbaXn5Mbbf+X26d7zCaJtXjXZUjPzODOE98yfom39E+IVvYhiK3o7cpssgOlpsGuYO5ly4O61Ursfv0H6Hpr02sxaZ+APD5LtKKbraHOIRd36vPRNn+UlefAGBY8OeLUlaDuaea7TL5W/c8INPsesvPwLg8bujBEsFybga4azNvF/ReP5ZpEpBPJqNvanAd8KJ4/TtRTkJBp64ztUiNR3XcVRomb2BVrmEknN+gl65BKH9aygI35AmRi7EuttofOjXRA+8SN3ieUw/6wPo/gr6778Cp3ePa+c5iYmHOXWv63Uc+WKJFJP1KO9YLKnxzP0DafH48TDrnCs49PS9KCXRPT4cKzmuyZENVctWs/Zzv+ShD63BiWc3RUajslbg8Wr09UiSMYWmgy+gEQlLpOM6YL0+wfKTPFRP05ESmhstdr6eqVkMRmvGw4qrv8TsdW/j/ncfU/A1FgJNg7Xn+wiVTnIRGkFCZ/8Aq+UlEtvumJB5IXw1BE7/Bkb5QvTqFZNjOs91jgJMjP8zAqJr56s8+v/OQ9quSmr4gsxadxmnfPbnADg9u1BWBKt3L9FHPzwlcxiJ/h6HFx+Pp+VEHElc+fdu/nxJPU7iCLcM+F8I0wOnXeDH65+cxS1K5+Bb9n5iL39z4uFy3UfVRwrrUF4ojrgPQgjxKSGEEkJUp/4WQogfCCH2CCE2CSGmprNoAXjxlo9iR8NDO64dj3Dg8T/TtcNlBdIrFmHUHo9eNueIzCdUprN45ZFj4x4NYXpZfOm1aJ5xKOCLrNoKw0QYZtHHnQysJOzeMvl0cTXQRuylb0wul+Zf1MYhFyYtIIQQM4HzgJFG35twqe4X4jbF+clkzzMZKKXo2b0x43MnEWXbH76d9plRseiIzEnTYOZ8A69v6qMr2XDnm6rY9qfvuSrsGGqs4QugGfkKsvGvRdkWpTMXFUd1FsXxsQtNZ9aJK8c5KI97IGMTqGpNhzn7yBRh5Yti3OHv4vbGGGmrXAL8Wrl4ASgXQkzP+usjACEEnpLKrN81P3sfjQ8P9xnQPKUYDWeNP6avCjEqVXsCE2PFyR50r5gwZeNEIZNxkI5rYoxhZtqxAXzV0zPL6bNBE3kt2r7921CTsK2EkXKWFqEHq8crWHXpEma/7xeI0Bid3YrWsUyA5sGc/xZE1TFDFaFoHvCWEzzlK0U6T3Ew2cY5lwCHlFKvj/qqHmga8feU9OYsBMe897MIPTNoI60kG3/2BcLNw12jg+t+iPDX5hhJYC5+FyWX3I2Kj9EZSjPHDXEJoHqawfqPL6Jsmu+IC4l8sfLqL7Hosn/Pev/SIEc4Y8cSFDkEkjA85KuFFAO+AKy7xE+leQAaP07ZJb9yy/mnEOaCS6m8upHS82+n4m2PEjrr+3iXvAv/yV+g4l0vo5cW1n5yqjGp3pzA53DNiwljMr05C8GSy6/j0HMP0vbakxnfxbpaeOCqE5l20jmc/pU/MvDgO8Zoqa6wdt+FWXei2xc0l0qpMiMXuWAaioGOxOTIlKYKSrHhu9e5FaGF7PoT2N0rFhxLxYLj2Hv/BBi0RkCYXvzVM4i2ZNK1DULT4ZhVXtfUUbgEQm23IcrmoXq25/iRb1yuifHgW/IOhOnmoAjdg3fxFXgXZ2GN+l+CCffmFEKsAOYCr6fsyQbgVSHEao5Qb85CIIRg2Ts+Sdf2DdjxzDRYJxmn9ZXH2PSjq5nl35FR1ZgGmST60tfHjtXl20gsxVHwL8cYVUy5EoyKje4dL9O9Y+JRLLO0kmBNA7POupSaY07h8f+4GOWM0jYETGvQWbDcQ6jM1XKEqSMMDdn1HKonl1ARGNNPxm59GZxcadTjMGlrHv537gK5MWETQym1WSlVq5Sao5Sag2tGnKCUasXtzfneVDRjDdCnlJpk19LJY/qqc5lx8vkYvuw57U4izv5H7xqqiBwT8V7Q8swzEzr4s7tghK5R2lBCqMZ75EwMTUeYrtNNmG7Vp+EvQt/IfyE0j4/TvnA7F922gRXvvcGl5csi8HyhICtPKxkSDmiC4AJXQbbDY2kHCqdzEzkFgNBBH785U+TpzxD+x9XYnYUQ8f7rMFWp1g8CjcAe4OfAtVN0noIgNI3Tvvx7zrr5b1QuOiGr9z5/57oDVp47q3IglikfhaERWNwASnH6+2cXcO7BASYmUTRN48yv3cnsc65MqdgKO3qEu1MBRZOIQkP3+Hjyc5fx0IdPYd8jf+Sfn7s0g+ncDJax7juPU3r+LzBryvBOr6DsuLmYZQGUI4k1jU1nr+xo7s1DOeMmRimZxOltJLn3Hvr+ej5Wa9H7WRcdRRMQKU2iM/XfSin1MaXUfKXUCqXU1KVHFgghBHXHn8mqT/4A3ZPumdd0mLXwCGafly4h3txD/+sH+P/tnXl8HVXZ+L/PzN1v9qRt0iQ06Q5daOleulCELiwtKCKCgCA/FVFBRQR9ffX1p/4EcXn9oS/VFyBwAAAfgklEQVT+XkTZZJUCL4jsFoS2lNKWtrR0oUu6JGnS7LnbzJzfH3ObJrm5SW7SLC3z/XzS3ntm7pxnzsw885xznvM8dZv2p95tF61HSkJZFumFoyl765keeWIeQ/f4GDJ5XoeDly3+Dp1L0uO6j1ekIbqLWGMtyohx9KP3eefn12OGEyOP502YRc7YKWjppRj1JqJrWJEY4UM11G3YgxXpZPBT86Bnj+1+17Hld27QvBgxxbuvhXjpiWbWvtZEc20Tze/8KMWT7X9OycVa3SHv9BlMu+mXuHxBXP4AmgaFJS5OG31icnh2B3X0Q8y6eszmCPU1Vmq+QyKk5Y+wYxakSHrRKJory9DdXThJJdSpobk9uIMZFC+8lEnX/RAj1Eh60WiK5q+gcN4KMkrOIFgwkqGT5uIJ9jZKdTdQFspoN1DcynLwZ7hxee3bPBRf22GFqlCmRfhANQ1bywjtO4KKdmwZiDsdXH5cw6YRnH9XarLpftwjL+ZorZfVr4aoqbLfADVHLNa8FiJa9VFqxxsATvnFWp0xZsUNlC69ioYDu4i+fiWuWIfjqP1CMF3aGNwiMLRQJy1Do6HO4sghs2V20OVPQ/d4GTJ5Hnv+8WDKdUUbaskYMT4hl0iXxCOGL7tvLdse+w2bH/hZy5u6vl2ov6bDifEvuo2mkWz1mCc9m2hD8ullTYeScW6KR3vwZ3nwF+XgzkmnbFM9DSy1TyNS20UGeEFLLybt3HtQZgQtbTiunNPtLcHhqKbu3CcaWBGiu58nMxhh7vl+tq6PcmivrYhMA6rr8+j7wPW94xNrQRzD5fWTPWoSeZc9jenKxbJU9/NOnEAysnWy8uywc7oL5i72M2mml9ET3Uye5WX2eT50j4uMktOZc8efuPSpPWSWnN4NMz4RI9JM46E9jFx2TUKIvq4QTaP5yEF2v/hAh2b8iSH5bTnla3faDZSEaQt8jDrdjd8PRKKE9lQQq6iheEomEz7lJ7r3ZRpf/WoX1btJX/Ec7sJ5eE77VItyAAjO+oGdx6NLLKIhk1BjGE2z40pOmOahxcdLgRQs7cZxBpZPtAXRGj17DO9vGEYweojxUz09Hf9rh8SXfcfoTgq8aedksf9wPppRSyCjHl2zFZXLDWkZGsUjdQ7sK2PrI3eRUTyGbY/9ukdOQ5ZhsvXhuyjf8AYiWqdv7Pa4g5loLg+ay4OVbL11b+lkFmnbo3cnnY7NyNHIzGkbABhLETpQjXd4DlL/Mg0fvtClO7S4fFi1O6Gd05IyY5jResSbgWqOxKMIJspimor3/xWmptICAa9PmHq2F39QIzNHp7rCBM3L8EVf7FSOwYCjIFohaJTtNhgRj2ug6faNZpoKXe+ZxshY/jSNr38Dq253B1t18KTZGb6UhTd/JqOGlmNW7kvc0yUMHS7s3d5I7Z6tvHH7JURqe5Zh2oqFqdj4ZtsHvBM/CHcgw44zq2ks/OmTpBWNxgg1drhvX2OEQ0mVWXqGoPvc8Sy3raxAS1G7Zkf8S9dGszIj6Dnj25YpRd1zKzDL3zu+nD+JoRkJKY5WWi3NGWpSvPtGmPkX+olGFLrHx8Rrvk/68P4PAJMqjoJoxZgVX6bm482sea2ZsZM8DB2uE4vZoc0yc1qPIGr2nLfZ1RtU0fjWHUmUA/YbyAzhGjoVo2oLsT0vkOyuUwqyitOY+fmhbHu1nIaKFNLqtcPlDSQ6iyVRDr68fGZ9+x6McIjccdNIKxzJvtceHzB/n/wpC9j35kqsdt2b4ilZzL5yBC63rQDC5bWE9lZ2cIQuLCXNi3f8lehp9soAq7mSptX/QXTHk90KIKOUoqHOSmhOpeDQHgPTXcAF9/+DjOL+WRTYWxwF0YrSJVdx9KP32fn8fezY5mXbB1FKx7sZPb5t90CCBXhKFhPZ/lf7yndislpV7ZeptEKZYJoYB/7ZpWyiC5njhpHj93Da1Gz+dvsHPfLAFE3Hk5HdoTdpwr4uN2OXf4Wdz91H+frXAdtnwjKPJd3tX/xDCilZfCVl/3quzWOeWeBjzhdK2mTG8uVnYYWjRMprEw8EdOT1KBkjCc66A89oOymuMsLUPXUeVuNBUjnfPds6SB9gwc4tMabe9J2TRjmAoyDaICJMv/nXTLz2DhoPfkz6aWPRmnbR8Pzl8fwUClw+Mi58DD2zFFfeZMLbHsasXN9nMilA83lIGzUMV5o9oOjRNUbNG8muN5NYJp3gDmba8SxbQmonR3N72fLIXViDIKhMwawlnP3DB1j3m5sTXL9Hzs5Da5cgSHQNX2EekcrGJGMa8UC2maPwTvwSvjGfRgu0XaAX2fk3rKZyUlEOItJhD8iyAE1n1NKru32swYCjIDrAlzXkeObk9BlkX/cRxuHVIDqugtlYTeXUPDwVFU7MRHWiCY4chq8gO6F8+mVFfLz6QEIY966INdURjScB7grzhI8zxJe1pzhLlDVmCgt//jTPXFZKuCax2+DyaB06ZWq+LLTAsLgF0DFW/X5ih94hcObxmQ2zZgdNq/+D2L6Xe3R9p8z18u4bdoDdYwtcxeVh/Gduwh08gQmX+4FP/DRndxDdg7toIe7CeYjmount76NCVSdQOSQfADWbIi3p51ujBUaScdq41GrR9AT34/7EnZ5F3ukzU/5dpKaSDffeQbimErdfZ/S8PCZdUMDQ0fb6kX3rj2LG2raRsiDW6ME3+UY6vc1VDGPP84Q/ehxlRjAbD1L31PnE9v6jx9c3kKax8CI/UxbmEsgbTubICcz89u+YeuP/6dHxBhLHgkgRyzQ5tPolDu0JEWpUeP1C0UgXefl6J1GSNEhMoWsjLrSskSgjgmoqt1+yngy8E79EdPdzRKp34Ssy47FYNPvlq3lRGSuYcNUi1tz5VcxI1/4Ip517OdXb36PpUC8cmHpJrKGGwrkXUL1jQ6L3Yyfkj8wiWPlnJi9MY+yyUWi6oHs0xi8axoEPaln90F52rKpk/KJhiKYhWBiNYRo//AhkPQSGQHNFp3U0/fM7NL/9b7hLLkCZEXo3xiK4ixYw9oYHGO/tB2/SPuQTE7T2RGAZBq9/9yIqN7zRxkrWdBgxxsW4M3sabETA5Uc86aSd90fchfPtvmy4hqa3bidW9nd8BZl4hhZgRaF5x4eYTfa4gKmls+GtamoqTU6bmkXZxlqMSNu3qeb2cskTO9lw7x3sefmvKZv4JxwRRHPF40t0LovHC+dcko1GlLQJxbgzA20UcSxisu6xvRgGTPtMKdQexahtaJe7Q8Dl60asSLGnnaM9W94unnSUGcNdtID0pQ8get8Gn+kpqQStdSyIFCh78xmqtq5NeL4sE/btMBh5hhu3uye9NgVGM8oI0/z2D8n63CoANF826ef/0a4jUk/NI9Mh3HbFoW41MP1sD5kzRxNptNi3vq0bsqbBpDkBQivnMq7AR7jEx+E9AzzoqFRinIYOcLlhxjk+tHi+UHeGP8FKc3k0pi7OwTdiKlZgCXUvfIfEqUwFrrS4f0RnlovquXIIDidt0W/RM0rQs0b36BiDEWcMIgUOr3s5qTmvadBU39s3s2VnGd/1HGbdXruk+QihTfdS8+CkBOXQmvqNe/EFNSYuKUB3C6LZGbwWLg+QXxBFRWogdJjJMzSKRvUsmrZ/SCHjPvM1O4bECUYESqbncM5XRzP32hLySoNMmBEgLfP41KWKdTAmYCmspggy7kEkexFJ/RzCR+zZjFYZxVLBNBXhkNWxG77LT3D+L/Ccdt4ppRzAsSBSIphfgrg9qFjiW8gSN27PCfDPtqI0vvENsGLoeWdiVm+2b+wu3INV1KB5/xEmLimgcGImB7fUEfQaeN1t/R1EYMI0D0eq0onUJQurl4juCzLq4i+x9aE7USnOnHSHOdeUUjgxE7dXR1mK087MpunjSmJHjvsxhMqqCJQOQ+JTmspSKMsiWmcRFB0tvcgO4pPUVdvqYpFWIkopdm6OsXdHzDZE3HaouiHDXcQkh0DxVALTvoV7+NyenvqgxrEgUmD0Rdehd/D21NweCmYuIWPUdGwHnKRDkt0j1mCncatYa9/Q3QylHquxlUF2YYCJSwrISxJ3V0Tx6cc3s/j3q5jy5Z8y41u/o3jBpZ0GmlWWxZb7f5KScuhuuPzMfB9Fk2zlAHZuTM2lESxtu9YxUlFH854KzEgMZVrEapuo33IQ35RbEBFENHxTv2XHYDhBlO2OsW9HzO6dWBCNwMbVEarKDVY9U8XmDb5TVjmAY0GkhD+3gMX3/JN1/3kLVVvXIoA3M5dxn7mJ8ZffzP7XHuXQK+sYVihEwopQs07JGNUn6dM6QnPHlZNl/2OGk/fzm9ffTe607zBk4myUMtj+xG+TultrLg+qO2H42mF1NlPRau1HdlGgw6pFE8Stt+laRCrqiFTUtXz3nfVt/FNvbvkemPk9NE8aze/9EmK99+PYu8OgfapTy4JNqyOYMSh76znCNZX4spNFQT+5cRREimSPmsji372aUB6qLmfN3V/HikXZ2yo0QtUhF9MWeBLS3vcJIkSO1KEMi0h5LVYo+QMa+eCPRLY+SNYF/4ZW+zeaK/d2uJ/m8VO6+PN8/GLqcSeSoXl8LLrzWcK1Vaz5xQ00VJsdr55VCmW0ezrdQbsLoRTiySCy+b8xKtYRPPtn6NljCG24h8i2h+JjDcret8s1M8npMJC3gmOLaDWXm9DRCkdBJENEvgHchO27+oJS6rZ4+R3Al+Ll31RKvdTbugYzh9b8o8Os2tUVBvv3eCkZpdHlQqFeYjaGadqRQmxgM0TdSz9GGQaZuRpHy9vK5/KnMe9HD1E45wIOvPkkkfreR7fWvT6GnjmfYVMXIiIMmTiL/W/8jWj0RXR3IxJf4q4saD5Qc7yf5grgm3wjrpxxxMrXENn2CCo+aGscfIu6lctw5Z2JUbGuXfJlDS19BFZD4grZ7lBQrLN/l5F0NbyIpOywdjLRKwUhIouws2idqZSKiMjQePkZwBXABGA48KqIjFWqj/2SBxDdF0AlMdGbvAvwTZ+NeWQzRuV7qFA1fa0suouK2g/T+Mku1lYZLa7BukvIGTORgplLUKGdnLU8l9UP90xBaDrkDNHQdCG/SJE/ciORbY/gO+MLBIcWM2JEA6HNW2GIF8+QTDulSOZFyFAdrX4l4g7iO/NreMdfiYgQ3np/olVgRDDK3+1gxaWFsmJo2eOwalIP8TZ6ooeaKovGevt6tVgUmo7u9jDz1j+guwcux2pf01sL4kbgF0qpCIBS6pij/ArgsXj5HhHZBcwEVveyvkFL4ZwLENFI0IGikTVuBsGZtwP28uH6F67ArN7a7k03sGRk68xf5qdst0GoWTGkwEXhdC+arqOOPMaIadlEKmvZ8mYtsQj4AsKwYhdlO2MJffT2CDDlbB+uY4FcrGaa3roN4+g2UBaRLfeBMgkfaiZ8KO7H4f4LOdftIDgnMbCr1dDB2gplJB1kVc2VcSmElIaOxUX6OT9h6fUXcXTHFppq6vAEMzmy5R003U3J4ivIKBrT/eOdhPRWQYwF5ovIz4AwcKtSah12mr01rfYb8NR7fY07kMbMW3/P2rtupPVN6A5mMObiG1q+a4GhZH32dYyqLdS/8Dms5iqUGe2bMQpx2Q9NN2dBfAGNMZOOvw2tIxtQRhii5ZiNIYbmGpy74nhOEctU1FWb1NdYmIYdCc7j17EUGGETAfzpwsTp3uPK4RhmmMgHneR0VhZm/T5cOcfNd7N+H+FN98YHTNt12TRv8ngNyug6jqS4QbVS2JqHzMvfxJVjL80eOq2oZVPhnMEfKu5E0dvUey4gB5gNzACeEJGUwuT0V+q9/mD0hdeRUTyWDfd+n6aK/QydfDZn/q+f4M9JTPKrZY1nT8NSdj7zR0wjxjkXp+Hzd/V2a/sGlGABqqmTMQd3AM+oS4jueKLLnA0dV6fbfgWZC4hufaVtlCbsiFszF/moKjepr9UJ5gQZs6yUyOHDHN54hLRMweOVns3imBG0YAFWuBbRdMyGMuqeXgpGpO2DfAwrQo/zbLiDuIZMwah4D8SFuP2kn39fi3L4JNPj1HsAInIj8LSy3cveFRELyGMQpt7rL4ZOPpslf1jV5X6b/vRjdj53P2bMvtlDTTG8PlcXsTBbNY/uxV20EGVEiO1e2fHuZpTAlJtQ4Vpie57r/kkA6D68Yz9rr5nIvQQtcA9IdcI6Ds2fS9H5l6Bnj8c77nLEPELs6LXkDuvekvKkBPKp/59PY1ZtBkA8mR1MW7bvMrS7fXQvdv/HtiwiYQu3Rzqw1oSMi55ERetRkVq0zFFISjkITl166yj1DLAIQETGAh6gCjv13hUi4hWRUmAMMPjTCPUTSil2rPyvNm7bykrx7WdGiO54EqNiHZ4pN4M7Pb5B7G6Fy49/xveoe3Y5sb1/7/5xNRdoHjyjLyE4/077iJoX79zHQW8XAdsVwD/jDtIW3I1/0g1ongzEPwrvzHvpddascDXmkY32OI0Va5mxaEvy94n4csm46EnAaHGP9ngFywQjFp8pUYDuIzD3J4jLhxYYip491lEOrejtGMT9wP0isgWIAtfGrYmtIvIE8CG2+r7pVJ7B6AlGu5iKPUqSpUxU4wGiG/+vHfjWm4WneBGaLxfPuM9hVm1GRRu6FUvxGPrwhWRe8CDiahvaXQ8OJ/OSF2j85y2YVR8g3iz8Z30L38Trj4tjmcT2v4JRtcVe2RjtRTq/Xi65VrFGGl7/uh1sN96wIoLuUpQfMFCWoJSglSxh4oQv9lzOU5xeKQilVBT4QpJtPwN+1pvjn6qICEMnz6Xyg3davAnL9xtkZLUL2d5tLDCawIDYgVVkX7sN0d1Edz6d8toDs+LdBOWgYo1Y4Rr0vEmknXsPZv0+3MOmoQXzW+3TTN0zF2HW7oRYczyxcYqzBm3o6rdd+JWYEVTD/gQ7RkTIyNJ56+/2itZhkYNM7KGEnwQcT8oBYvZtf+Slm87BjIZRZoyDZVA6vRhdq7Hf+JZp5530D0WFyruXcRxQkXoiu1biKT4HLXu07XkY6zpAbQuxBuqeXkbGimexIvWE3v05kY8etU0cMxbvvnjBjOKfeguBmd8DILzlz5jV28GKD4ZaMXrXzejg4de96MNmo5oPo+dNJLZrJakqIKUU0bD9G83tJW/irF7IeOrjBIwZQIxIiINvv0C47ggFM84jvXA0xuE1mEe3oeeegSt/FnVPLoqnnW9L3VF7ejGYoZGdp7WbKRB7BuLYeIRSoLofwQnRkMAwVFMFnb6lXQEyLn4KV/4sO0ZnQ89D8XcPDS2tgMwr32P///yKwIG70bsYLlCqbddNKcXa10LU1Wh4M3O58M/rT1k36WQ4AWNOElxePyPOvaxNmXv4HNzD5xwvaOf8oyzFhnciVJXbfgaFpS4ysz3tstGpdsldUlzdqKzOp0+PYTQT3bUSs2YnqpPAsCcOCytSx8cPf511jzzBgqWC7u98nF3pATDtbpZpKrZtMGlsDjL+8i9zxhXf+sQph1RxFMQgxzfhOpr+dUfLWMKhfQbV5WZLAuv0bo1bxGyLog/GiS0jSnT93b08ttgzJKY9LmAYimhE4fN3MCVpGVSsfRorGub9tzSmn+PDHdd/HflbpJ/3e1xF51O26inq9u9i5HVnsWDuhWg9yGn6ScRREIMc7+lXYVRtIbLtQbBMDpeF27g219dYGIZK9FRsR1RloptHuzTJUyW6/eHeKx7djfhysZoOsn1DmLLdtvWj6TBhuoeC4rYPc/Vhex1GfY3FG882MyRf4/SzvPgCABLvUgi+s27BN3oFAKVLrumdjJ9QnIAxgxwRjbQFd5J9zRYyLn0Rf/GMNtsP7TPi+RdsBdF+TEkpxUebIvzzqQN0f0AvhcHFHiqHNnIq8I77LHt2eSnbbdjBWUwworB5bZSGes2WyRXAO/4qTHer2RMLKg9ZrHo+xPp3wByyBP+sfyfr6k0EZ/+wR7I5HMdRECcJmj8Xd/40Jlz/K3Tv8biKpgFrVwmx3E9RX6uoO2pbFMc4cthk/04Dy1TUVpldp+sTN67TkjrPdhulFJalaG607NBw7RSXiBwv01zo6cXs2tRA+7Qdlgk7tvvxnXULGRc/RXDBXcy+7V5Eb2/8CiFjCEM+/RCBabegpxfh0HscBXGSkXv6dOZ8/0/4coYhLjee9Gwm33AX+Zc/ynurfax5LUzVYRPDUBgxRdnu46stP1wfxTDsZMRJZ680HSNrNqqnU5S+XAxD2LsjxpvPN/P2SyFefaa5w0j7LWMGInhGLU+6XD4UDhKc/UPcBbMREQpmnMeFf9nAkElz0dxeNJeXonnLWfKHVWgup9d8InGmOU9SlFIYzQ24/GmIZuv53S8+xLrffhMz3ExGtkbmEB9Hj/ppqjoenNbtgeEjXGTmZzN8eIj23Q7D1Fn1gkHpOKF0bOrh8txjL2fVfS9QX17Z5tDzlvlJy2j7PjINhSstj/QLHsGdP5NXbllM5YbEdSxnfvmnTLzquynJ4ZCcVKY5HQviJEVEcAczWpQDwKhlV7Pozmcpmrcc34izKVj+S2be9hd03/EuSSwKB8o8+Of+lLSlD4A3K35AHUMyWLcqSizUzI6NTWzfGCUWjT/nLr8dDFb3oudOQrI6iIMgLlT2DJqq6xOGOz7aFMVs1fWxTIWpBcm6+gPc+XY6voX/+0m8mXltfpc7YRYTrry1V23l0HMce+wUY9iUBQybsqBN2aRrfsDmB36K5nJjxqKMvvB6Ri27FhHBO/IirFA1ymjmhRuX0nDkuP/Dvh0G+3YYjDj3s8z70cNYTeUoZaGnDSd28G3qn//s8TUTmhc9Zxxa/vwOF5UcOWTy/r9ilI7X8AU0qo/ojPnG82ju427dnvRMLnvuIAdXv0j19vcoOvticsZO6bO2cugaR0F8Aphw1a2MvfQrNBzYRTB/BN6MnDbbNX8ukNtm8LMF0XD57SS5rddeuAvPJvOyVwlt/D1WQxmekiX4JlyHuAOkFZRQt297m6Xh7rRMcmZ/jo+3v0fuuGmc8d3vkpY/okN5C+cso3DOst6fuEOvccYgHFrY/eKDrPvtzZitVprq3gDn/+cr5J7erS4rAA0Hd/P6dy4kXFsJoqF7fCz6xTMpHcOh73BcrR16xMilV9N4aA/bHv8NiKC5PEz/5q9TfrDTC0ex/NFt1OzchGVEyRk3De1Ee2g59AuOBeGQgBEJET5aQWBIoeOSfAriWBAOvcLl9ZNWUDLQYjgMApxpTgcHh6Q4CsLBwSEpjoJwcHBIiqMgHBwckuIoCAcHh6QMqmlOETkCdJSGOQ8738ZgYLDI4siRyGCRZbDLMUIpNaQ7BxhUCiIZIvJed+dt+5rBIosjRyKDRZZTSQ6ni+Hg4JAUR0E4ODgk5WRREP9voAVoxWCRxZEjkcEiyykjx0kxBuHg4DAwnCwWhIODwwAwqBWEiDwuIhvjf3tFZGO8vEREQq223dvHcvxYRA62qu+CVtvuEJFdIvKRiCzpSzni9f1SRLaLyAcislJEsuLl/dom8TqXxs97l4jc3tf1taq3WETeEJEPRWSriNwcL096nfpQlr0isjle33vxshwReUVEdsb/z+4HOca1Ou+NIlIvIrf0uk2UUifFH/Ar4N/jn0uALf1Y94+BWzsoPwPYBHiBUmA3oPexLIsBV/zzncCdA9Qmevx8RwKeeDuc0U91FwBnxT+nAzvi16LD69THsuwF8tqV3QXcHv98+7Fr1M/XphwY0ds2GdQWxDHEDq18OfDoQMvSjhXAY0qpiFJqD7ALmNmXFSqlXlbqWOJN1gADlQBiJrBLKfWxUioKPIbdHn2OUuqwUur9+OcGYBtQ2B91d5MVwAPxzw8Al/Rz/Z8CdiulOnI6TImTQkEA84EKpdTOVmWlIrJBRFaJyPx+kOHrcbP+/lYmYyFQ1mqfA/TvjXo98GKr7/3ZJgN97oDdtQKmAmvjRR1dp75EAS+LyHoR+XK8bJhS6lj033JgWD/I0ZoraPsy7XGbDLiCEJFXRWRLB3+t30afp+0JHwZOU0pNBb4N/FVEMvpQjv8CRgFT4nX/qjd19VKWY/v8ADCAR+JFJ7xNBjsikgb8DbhFKVVPP1+nOPOUUmcBy4CbRKRNSHFl2/z9NlUoIh5gOfBkvKhXbTLgEaWUUp3meRMRF/BpYFqr30SASPzzehHZDYwFehyvris5Wsnz38Dz8a8HgeJWm4viZb2iG23yReAi4FPxG7BP2qQL+uTcu4uIuLGVwyNKqacBlFIVrba3vk59hlLqYPz/ShFZid31qhCRAqXUYREpACr7Wo5WLAPeP9YWvW2TAbcgusF5wHal1IFjBSIyRET0+OeRwBjg474SIH6Rj3EpsCX++TngChHxikhpXI53+0qOuCxLgduA5Uqp5lbl/domwDpgjIiUxt9aV2C3R58TH5P6E7BNKfXrVuXJrlNfyREUkfRjn7EHkLdgt8O18d2uBZ7tSzna0cba7m2bDLgF0Q3a96cAFgA/EZEYYAFfVUod7UMZ7hKRKdim4l7gKwBKqa0i8gTwIba5f5NSPUx33X3uwZ41ecV+TlijlPoq/dwmSilDRL4OvIQ9an6/UmprX9XXjrOBq4HNEp/6Br4PfL6j69SHDANWxq+DC/irUuofIrIOeEJEvoS9OvnyPpYDaFFS59P2vDu8d7t9zLiF6uDg4JDAydDFcHBwGCAcBeHg4JAUR0E4ODgkxVEQDg4OSXEUhIODQ1IcBeHg4JAUR0E4ODgkxVEQDg4OSfn/V912HGVH6zIAAAAASUVORK5CYII=\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plot\n", "mllab.pca.plot_toy_2d(xq_31,y)\n", "None" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Hopefully you appreciate the result.\n", "\n", "**Check non-linear transformation.**\n", "\n", "Let us see how PCA handles a non-linear transformation. To test this we map our data into 3D by keeping the y-axis as the new z-axis and bending x-coordinate onto an ellipse." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "# Map on ellipse in 3D using mallab.pca.map_on_ellipse\n", "x_ellipse_32 = mllab.pca.map_on_ellipse(xq_31)" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plot 3D using mllab.pca.plot_toy_3d\n", "\n", "mllab.pca.plot_toy_3d(x_ellipse_32,y)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**(Remeber to stop the interactive plot by pressing the shutdown icon!)**\n", "\n", "Now apply PCA to our transformed data and plot the result as before." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Transform back to 2D\n", "# By applying PCA\n", "Vq_ellipse_32, xq_ellipse_32 = pca(x_ellipse_32,2)\n", "# Plot with mllab.pca.plot_toy_2d\n", "mllab.pca.plot_toy_2d(xq_ellipse_32,y)\n", "None" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Could be worse, but undeniably discomforting. Try different axes lengths and gap sizes of the ellipse. What do you observe?" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "a = 0.5; b = 0.5; gap angle = 0° :\n", "\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/home/simon/myvirualenv/practicalLab/local/lib/python3.5/site-packages/scipy/cluster/vq.py:523: UserWarning: One of the clusters is empty. Re-run kmeans with a different initialization.\n", " warnings.warn(\"One of the clusters is empty. \"\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "a = 0.5; b = 0.5; gap angle = 360° :\n", "\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "a = 0.5; b = 0.5; gap angle = 45° :\n", "\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "a = 0.5; b = 0.5; gap angle = 270° :\n", "\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "a = 0.5; b = 0.5; gap angle = 180° :\n", "\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "a = 0.5; b = 0.5; gap angle = 90° :\n", "\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "a = 1; b = 0.5; gap angle = 0° :\n", "\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "a = 1; b = 0.5; gap angle = 360° :\n", "\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "a = 1; b = 0.5; gap angle = 45° :\n", "\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "a = 1; b = 0.5; gap angle = 270° :\n", "\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "a = 1; b = 0.5; gap angle = 180° :\n", "\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "a = 1; b = 0.5; gap angle = 90° :\n", "\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "a = 1; b = 1; gap angle = 0° :\n", "\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "a = 1; b = 1; gap angle = 360° :\n", "\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "a = 1; b = 1; gap angle = 45° :\n", "\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "a = 1; b = 1; gap angle = 270° :\n", "\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "a = 1; b = 1; gap angle = 180° :\n", "\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "a = 1; b = 1; gap angle = 90° :\n", "\n" ] }, { "data": { "image/png": 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+EeLzc2lwwv6VHGTvPVH2Nz4BmZUjbGrL9woLKwBK+tUn8LNWaFw68kSYvT9wp2FOskBqQAfAvhHMeSDLwJwDJChuqKoqsu8YYcUgPh8xNmJFESsCmCFhHRnRk5828CeYZ5c57szYCCsiFrABOKSqN4pIM/ATYA5h+Y7/oTr9uC6vfQupJ//3xA01IMvpxFdfDKKgAsYgVIN1EfiPUtx4VA/0MDwqBqFPMQA22NeCOSP8M/tqgXMIEAXnCnDvmbjP02RQAEOhlHE5psZmopjQeuw/Efom2ytmuqtlpshMjrAfIaxaN8jngS+r6kqgC/jgdC8QeBl6f/EWCEqQewExmVwEjgn/RQkjZfaFbn9Fb7+T0SpsQLhU4wFp8B4NI3/8VwkdIMaqmQas14Fzczgyy7w8bWaWsXGxpbSfkODpiduUOW7MVH3YRcBbgG/n/hbgGuCOXJMZqV7X/9CH0EnUZ402n5dna86pwTprmtExqdALyd9AOBIPjlY2YIUqs7VmOHewfTEwoprAlDHhNayLCJWX/OQTximXZck+Gvo/lnnNmakR9l+BjzNsCp0DdKsO1ZI4CCzMd2CpxbC8nr24e341cU9MBIlWUHXdBzEVNQUaaShI1oUF9peCkr/2jQdUg1k+erNUgvMOwtF4LCOFq45QHR87ahugFqzzwgADswJIMtGorRqgfhb1s0zdUn0I/HL87InAtOewInIj0KaqG0Xkqsker6rfAr4FYTGsfG3cI+vp/eW78tSSCTE1K6i9+ccEe7+I9m3HVDUi9YVKLhowy3KdjxdoM126Qq8h5x2EH4fcqKrd5M8uocBKcC4cHpHVA/+FMKAACQXUOnv4XMEhwo9D4ZFPVcOK8S2PQroNqlagC66aWv7k4Fnw68EqPKqXOfbMhNHpUuCtInIDYcm1asKK7LUiYudG2UXAoamcXL0UfffcGtasKUCQbKXrvy4ltqCW+OIGyB6GA/egS96GJMaWpdUwlM3bnAtbawTaptK1CUiB++Pc73Vgvx78lws3F3d06Q2xwb4AKFDQTDNM6EIpQuAquB7i+0imA8RMPX+yfz+Y94wvEVLmuDET1ev+RlUX5cpNvht4RFXfBzwKvDPXbMrV69yDj088f3L7Udcjtb+d3i0Hch3zoGM7yOJwPkk1w2ul6VxI290cG2EdSxd494F2FG6i+8OaPt56yN4O2TvDj0ohZwczsc+zAP1P/4zux58gufsILLox3OoNoC2Pobt+jB64D02V+gwU3McLajpljj3H8lP5CeAvRGQn4Zz2P6d0lkkaO7zuAfxs7oVy+8C5EkwTYZ3pkefyc9uOF0o45yyy33swl5QtA6Qg2BwuBwVt4G0E7xkIWsJnIonch8hQ6L/R6ziEfyRccvKpAyceej3tuR26t0G2G/r3wr5foKmJsmkMcgjcX5Z602VmmBkVWFV9TFVvzP2+W1UvVNWVqvouVS0QS1YcZ9GV48cRsZD4WFV3GL83CdhQuQ78Q+A9wsx7GU3FP3giehhvGOoF7wEItoXC7D0Gfs5pxDQQzmrGf9RUA3p//Q00E34krDlLwj53b80ti404Rj1oe2YS/RyA7H2TaF9mpjjhJyPiJKi+8TaI1ILJWVg1KLpEYSqrwK4JI3P8RxkXJF4yFmEF9XzUhur2jCdmmwgfglfCLBHeI4x3kcy16mxBs6GBy9Q0krjgLeGOTMdwxb6RZCcbC9sJfmGrfpljwwkvsADOgouJLLkWhoKzNbR65iNiYS/9ECy/FTGlqnmF8ClcQa4L9BAzOwcuVf03uQD5IlqDMUPnq7jkFsSOhIam+Pz8oXaDBbUmg//bybUvM21mhcAG6U6yu35BKS+0Nff1yJwViDWBFdR6PdO//dfQ+BL0UlhgDVbtfEw8rARvNzYjxoSFs2rX5IL4raG2GAcaL56C5bgf3O1TvIEyU2F2CGyyNb8alwft24/qRCOrA1Kb8wWOc2I9hlI8oXzgQJH9EcR+J4mL/hYQguRwkjUxDjS/K0yLU7EY6s+C5t9BovWFT1cM3QBuOX72eHEivakFsWpKdz4XvxVSecp0jMINl1mCl5n6/LZUJvuITW70L+SlBRNrGmnQ54k0vwvsOKkN9+ZqyVrhKGscZM55yJKbkHmXIpHqSfZxbHe25s+lVWbGmRUCK1YEa+n1Ezc0QmxhPbQ9g46on6M60Ss+E8HlMYb8iGkCOS0Mv5v0I7ZCTyz7zUwrWCDYjzgJKq/9OtnDu8Kski8+SNftnyW7+3mC1HBlAFUfTR5Gky2TCHIfg39HaUEZZaaFTNkh/BhwwQUX6IYNG/LuUy9N14/WoQMFHKaMEFs8h/jCOeFcLLEQFr9lam54U0LA+Z3RBh3NhrmG834uhHB52gMGAxrioUeU9oRuiQUNXqXgQCTMzZTd/xADj/4RwcDo/MZ17/0MIik4cO/wlEMcWHITEpuKC2KsXDR6iojIRlUt4NY2zKwYYQHEjlH3u5uJv/7TSHzu+AaB4lTFR1Qc7+f41nRVxo2I6hfugzSC8waI3AgymNk/C97D4K9nesIKyNKwC9k++h/44DhhBUhuvDcUVj8dhgoGLvhJOHjfFCN70mGtoDLHjFkjsBCGjCXO/ROq33b38JrsCAZ2jsjgHwymRTleSFgjJ+gAb0POM+npMFrGS45QPyEIAgae+xXJDV8myO4Pk4cTEAbUz1DuJwmzXGT3/Kqgmusdej6c047bkYJs8WoD+VBV1H2q7Lp4DJmVOZ28lqfz+tgGaZcg62EidjjCpo+i8UYkt4ShYU2L0FOqgNpW2DHeAnMRBJvIb6jSUFAZYHC5RTWAtqeh4YKhcwZ9R+m9/+sEAz3gu2T3/piat350mvmm8nUn9FtWL1nQHzn8hgjMvQiqV4f5rzpfhJ5XGfzYTRQooKpoEHD/n30Wy7ZYc8sbWHJZDRIv54M6FsyqEXYQU9FU8CXs3rgLtyvnI3zwfkgeQQM/zIjfvRVe+W7eEWB0epWxWGFhK3t5mEGCQqF7o9dGRUwoDCOu0fvrbxH0dgwl7I6tueTYBIdr6LnkLH1DwWdl6pYjS2+C+nOQSBVE6qCyGeJNkDyEuikGR/yu3QfY9rMHCPzRI7KIIMZw+i1vpH3bbp7+0nfZ9rPvh7mvysw4s3KEdZZcE6YyDfK4JwdK37aD1K5biWgS2X8XWFHAgJ8bGVseRRdcnXMeCAW0uNNAEOYk1h5wH0V1II9dxZBPnfUyLkc2bWXRJecT9LYT9Hcycl5r1c5HCtSn1fAEcPQpSLZB8y0lG9E06ILdH8M0vpeKy7/IwGMfAScCqogTo/otf45d2ziUTVJV4dAD0L8v/KClDkPbs7D07Wz95XNs/v4vSMyt57S3XjPuWiJC07ozWXXT1cw9YwU9B1rwk7djnNOQSKn5oMuUwqwUWDE2Fdd9nYEHfj9/A1V6XtxDfHED0bnVyNgaNr07IdMNtaeHdVmrlueEuhA2qKLJn0PLfTBwCBUL6tbmPISihOum48PnjGWz8d9vo3XzK5z3nvFV9dyD27HnLELsPJkofJ/glR8hkgnzUR16EG26JlTpJxRchb6noG8j0cWfYAAhdubVOFUxbLsdOfor1D8PataAHYHkoWFhhfBf9fAPPc6L33uAIOvSd7AVdyBFpLpy3AfOqUhw/h/dih2N4KUzGMuA7iTINmIi5SRuM8WsVIkBYivfTvyKLxXcrxmP5M4j9O84TOpwJ4E3xriSaYfWJ8JsDJ0vjlq3HYd1Fhq0wt4fw8AhwpIeHnRtgdanwpKQ9tXhdUeot146w/4nn2egtYNX73qU7P5+7F1zsPbEhzTn9JbHCNL9I4xSw8ap5LP/jQQDueRxQP+eUKVveayoFVc1gL5dgzcKh7+MvWAdQet6bG87kmkPY2I7X8z5HAMDB/NOFSTTirGHNYCnPv/tPNdTxAh2NAyUsGNRVJXWTZvZd+/HCYokHygzOWatwAIkzvx97KbXF9wfXVRPbEEdVixS3GDcvhG6t6OBF/5okBORwWRqZ0Df8zkVfExYWvdWlAowMYKglp59h0ke7WKgrYMtt/2Kp78QhgGvSdUS/PntOE9FcJ6qJXrHfOg1ZPqSPPyXn2P/ExvpO9RKsK2FoHM+6R3tBG078kxvg4L1bEMDkAep1jAX8yB+H1UrfCqWzR2lyovXh3a8hHrZ4SJh485poSM+doefe5mn/vk/8FIZ1PULzv2NZTHv3LOoWLqWTV+6osjDLzMZZqVKPJKqN32frh+cGQZmjyC6sI5sWy+ZluGwsYrVTeFarcm9XGZw/ko42rY9BSYBSz+DVK0bfSE/yG8cUgWNku3r5pG/+kcWXbSKF7/381FNqoMIK/y63EjpIxjwIHVvDY+bg4gm6fz/v8H57jwW2Q04f7YQOasBLxkM93XUNfMYzQI/1BoOP5w3VE60P79Dw9GnyOzfgjVvDTY6bjVZLIvq6hq6j7ZjYVjsV1Fz/x5effjTNN9yDdEPX11w/i/GMGf1Mjq3n0aybSeJxpV525UpnVk9wgKY+ByqbvjJqG0SsXE7B9CsFwra4I8qYpnhH5HRfg0qsPq/xgsrhIKcT1CkDvdrX6fjI7+PtePAOGFFYZlfgxkzxAtQl42z2KtimV/DldklLAqqwXYwTYuJrngb8mqU7KNpNKs590oTjoLzr86dZSFhvK4DA+2w767Jx7UGAbbVTnDwcdw+d3x2Zc1wxSUX0uzX8YbMMs705tIc1LJUa9Fn96LpES6gY6cdgBWJcNqNl2Lv/T2058nJ9a3MOGa9wAJEFl9J5Q0/ZnBsiMypJEiPmZMaIVJXmWfE0uGlCrGh77dokBk/R+wYI4gMZiVsRw/fRvWWV7koOZc17nDUS1QtrssuY5lfk1cjFzvCBcFCzvXmUaNRsCxk7lzMJZfi3XYHkccrCW7zyfyfJN4DGby7UqQ/2U/6uy8SeBej9mXoQB3adgg6dxXO/1QME+Y59mPvxOtT1B99DlUlsrqTc4JGYtjYg69M1kf3dpD+4PeGjvGf24v7wBZSt36D5DVfIv3hHxLsOALqYkcC2PsJNHs8cmidvMwaX+JSSG/9IcHuTxNprKFn4+4hFdauTlB1xsKwVMcY9U39gMzRXmLzx6ytSgzmfwjm/g503g0Hv0AhN0PNKum/HYAexSfg19HdZCTgksxCGjUxbnQtiGUR+fy/Yl1yKamrLgK3gCEsGsH+gz/Cueg3kDkMOrVIGVUlfbiT9KFO1DcQuEQW1JFYMgdj2+EHKVDSR3rhiw4k83wQjBB/6C/Ro32kP/ZTaOuDzAhNJO4Q+ftVmLp9+BkPq+Z0ZM33Ci5lnaqU6ks86+ewI4mufifJvV/GRGysRAR/IAMClWsWkmnrRYOA2Pw6xBqtWKT2H8WpTWCiDtnOftyOPkzUIZb9CqbnSUi+SFG/5ACs0y38ZzwClLogTqsZmJywAvg+3ne+iVmytLCwAmSyeP/1bZxzK2BqqbIAGHi1hezRwcCDUMvItnThdfVjIjZ+xkXVUHHJ38PajQTPPTf+JIHib9iLJCJwsGv8Y8p4ZP9+C+mbjqJ1HrCH+P7Xk7j+2Sn3+1Rm2iqxiCwWkUdFZKuIbBGRj+S214vIgyLyau7fuul3d4K+2HHil98OKlgVMcSxsCvj+BmX5N42UvuOkjkaCq76AX7GpW/rAdT1Sbf10PvSfga2HyJ7tJf0wQ6612/Ha3uKiRK4+S95+M+Ho4qNxWJnHmcuuxSxJv89DPbvI9i3d8J2OpCalrAGGZdse/7lliDt4vWm0IwHWY/U89/G/v0PQTR/fqvsZ+4J7QX5vmmBogKJvvlUrJhPrKmO9KE9ZDb99ZT7fiozbZVYRBYAC1T1eRGpIqxU93bgfwKdqvrPIvLXQJ2qfqLYuaarEg+iyR2kf/tukvsPYVkWkbnVpPa3D1t5jSC2Fb5kOSLzasm2jjfY2NUJqs9aUvBa/g6P7FdS4wvhxWLhKCkC3mSc4YvVmQ0JUDJLAmr/pjp0UJgCbm+SvpcPlOYWaSeouOKLOP3Lcb/2WYKd+8Ed8xGzDdRXhCrxqO0Q/UQCmWeQmKBemEAvubuVyps3I/Y0g+dPEo5beJ2qtqjq87nf+wgr2C0E3kZYBAvcbH3CAAAgAElEQVRmqBhWqUjiNKJXPwtagdNYHarAIzXTQEcJK0C2I3+RLa8vlddJYbC+qntXOn/VynQafH8KWfKLOESgeARk8HhejxB406h2m4iW7sPsJfE7tmJdcBGx73yX2I8+DBVRGMybZQlEHZwPjF8Tt9bZyPxQWAHEDi300eo6Wh759NQLdJ2izKiVWESWAecBzwLzVLUlt+sIUDiR8DHA2BHq/ucOnNoqnPrKom1VFbwCFlYhXBIaS6B0rX8Vv32CuFXfm7HSFgHKJruVX0f30HZ0gEe//ipuxp9S1K+xLazKWN594ozfp4GL/+Im0n/2V6T/8DsQtWDZHGisgrlVMCeB+8VfIzfYYfKNweucZiPRMUtaRrArorQ9fAeb//PvptD7U5cZE1gRqQTuBD6qqqOGKw0/o3nfq1Kr100FY0dw6k/HRGyq1i4O1eB8o2Wx1ZBAQ+NLTmhVw6WP1MEOas9rxpxjg1XMIBUUv4AIRIr5MQ+321TVw0G7D829/74XRgRNNeq3ctWC8R5gIlSsXED12UuJjrCc+w89SOZP/4Bgw3PQk4LOJOxuB4Xot34XetNh7MPLAdYbHKTJhC7YrT7qjn8+QbvSPBBl221fxsuUXRdLZabqwzqEwvojVf1ZbnNrbn47OM/NuwCnqt9S1QtU9YK5c/Nkkpgui/8WALsqTke2gkxKeenZDA/eOcBDPxtg+wsZfF+hxwoLy+WRvd6X9pM62IHXl8Lt6qdvywEy27vpvfMQwdI0VE1RZERgxaoS55E255x7E5GqeuxEFXa8kjnLm7Ai+UfJUrASUarOWIyJh8YkidgkVs4nUh869yeaG4kuqAUF+/EMZMdoEwr0pPB+eAC6w0go3R/g/9LFfnOE6KcT2G+KIs7oau+aUbxfZJCOgKuviZPd+YMp38OpxkwYnYRwjtqpqh8dsf2LQMcIo1O9qn682Llmyug0Ft31MfyuJ9j8qxb2r28j2afD9icDc+YZXnd+AhKKORzFtETRCh9/eQpiY0ZHBeeZGqxdFWAUAgjqXayjJYySYxEByyrdKFVRifOXf03qpz9EIlHi77kZa86/MN1UOCP9gf10lvShTvxUFqe2gkhDFT3P7CH2kwVIUODDNH8BHGkZvc0C++0R7Msi4Ujbq0gEgqMB3l1Zgh0+1IN2Ku51SWo/u3ta9zDbKdXoNBMCexnwBPASwwGh/5twHvtTYAmwD7hVVTuLneuYCayfIv3Upezf3MuGn+bP57t8jcXajiaslijiGdQKwILMm4+itbklC1eIPFyHORpDdPjlVStALcVkp+AMIFK68ceywpjWdC6utyZO7PP2tKfIGgQggp/M0Lt5HwTD1nQTsQlSLrHbFiCZPBcSQRZZ6IEiH538ocJhzWo3fH6R2+/AWXj69G5kFnM8rcRPqqqo6tmqem7u5z5V7VDVa1V1lapeN5GwHkvEiuMs+yjRivwvt2VBU7xiSFgBxDeQFZxna5A+C2t3nOg9jZi20cI62FYCIahyUaPDI2c0Co3zis9RJ/PB9P1hYQUI0uBP38oquRC79JHuYWEFCJQg44GAu64X7DwfpKhi32QXz3+eYPx+m2Hrug/Zm28l9ZEPo35pCeNPVU4qT6di2It/lyB2LyJ7czEpwxgLqnvj4I110BfMkSixn82f8PxBtUv2+g6k28baG8dZfj2x930MaV6Bv2kj2T//UHHvpanQp2hXmIBxuogIiaVzybb2jP6I5H73VwyQqVDsTZUY4jhXWVirLUiAabBwo+n81TRtsG+I4D2QhT5CHxRhTJUTCVefn/ktqSvXEbv9XsyCBdO/qZOQk8L5v1SWv/s2Fl9y3tDfYkJhPeuiKFIVgJ1ntDITj2BqBfhrB8BRdK6Lt66XVMPP8Ct6ERHs8y/A+btPh+psMYxBTl8bdqpEst/1UJMouX0xRASnpvC5gvlJ3Jvaif2Dg32Vg1liIfW5iu71BV6lBYI0h+GEQ9/JMY9URpqqXZf0+2+e1n2czJxSAgtw2WefxomFgrPqTIfL3xynscnGb06BpaNGX7UCtKK4iqYoGvfD41MGa2sF1uZKSPr03nkdnd9uJvnsZ7Hf8AbMuouKJ9muriH27R9CIl7Svbj4pJkHa+4Eu6GkY4piZChGGMgb9B+dXxuGJto5R4hce+edBdT+FsX9tzT0M2oeO1bLGUV/P5nvfmuSnT81OOUEFuDG723AMlBRZYjmPHCIKJkbjhIsSqNOQFDl4b6uB+kfnjXke8kEQVIWcihC9K5GSBv8NQMQzaV6yfaQeuFr9P3kFoIN64vPWbu7oK8P548/WrgN4BGw3j7MfdFd3H/wIe55/+l07m0pekwpiAjxxQ049ZWYeITovFpMIoLYBqe2AisRxa6MjwueEBFMs5V/HuuRNye6TLB67H/jqyQ/9TdTv5mTlJMqvG4yHH7mbtrveB9zF1o4joAwHNDuCWSF6MMNmK4wOdooYY0oQY2L6bORtIXaAUHEx72iG52TzW8Z8IXYnfOQ1ATqrm1DbR10tBcU7g1WC4fsfgIZ3u/ELN7x6bOwozMZtlaB29uBXRlBgzA/ceB6GMceJbQaKP4mD/ebx6Ag1rpLSHzt5B9tT8nwusnQdPFbefVHa6nNbsdYIBpOV+31NVidEUyXMzQK+PVZvPN7CKpdrL0J/DMGwBewFOvVCuwNVVDpo/Vu4SfqQ38iRUWqonjInedBe2GPL0VJG2+UsAK4aZ/9L3az/MKp1MQpQHwhtriIZoes60bsMAddEIQ1Z32FLPgvu6G+ls+nrdCyTik89zR+KoUVL22acLJzSqrEg1z51Wd44cVGnns0TetjDvtvj2DtSmB1RYaENahzyV7fTtCUhSoNjUsWEFGwwF+RxDuvj6DGC6W+AL4EdPS4ZPEJ0OJzuCIoyny/Iu++tp0z6+KnyVfG5X4WExqZUgc7cXuSZA71knwyRfCcHzqR2IqOfKscsN8XhTqBaPg3VUDF8P1MRObWm8K14jKn7gg7yLX/9ij3vHcFh1IZRITl6KipmHtOb+grPDgojv3EOYq/Iknk4TlhTihVzP4Y9ivhG+mtGsBbmMbaVMUSrxqDEKAEKGbCmdxofAJeso+y1+ohX+0tKxIBE4dgpmreat7roEr6QDvpXHRexbZF+FllvXOYxqtrWJGqgVcCpMFg3xjFWmFhX+agh4MwsqcexBO6PttN9KgFaPEn0daK+51vEvmDP56h+5q9nPICWzF3Ies+/h2e/swHiAQGa8yLozXehHqIpC2k3cEciWCORLFfqRhywDBtEcyqAbzze8kuzWIORjEpC/ZF8dXCtqOQKX3u12aSofP/mIGpdnEVa65/PUQrILWl5PNNzGiJVVXcnuEyHCKherzf6qHNJFl3TTOx+tBiHLQFuLelyb7iQwRkqcG+KII1J4zoqb65AvebpQXhe//x75jT12JfemqnTD2lVeJBlr/hvcxbtY6sBGy3OvGGlFZF2pzhhBNZAXfMSOAK1pZKBCHyyBzsbZVDwgognsHeUQmeQRuz+Of14V7Ug/vONjKLIjj/38cxl18FkUjBJR8lzBX1itXJgMk5X4xouvicWt740ZVUVu6bmrDac8i7hgP4yewox30RIVJfRWTecCRP6oLD1L69n9r5MpQzS5NK5p8GCF7yIQP0gb4c4H4/TeYzSciCWZknD3IRFTn7l39K0Js/bvlUoSywOa791m8QY3jF7uQZ5zAHTR8HTB+9m51QSD2QThtreyK3VBFus3YlsHbFh0LsxrotAmApptcOZcIAjoKjWJf24bzjXcS+9FXiDz4ZZqnIQ794/MY5yHZntHenCDTMtzjn4gi9z71C19Pb6d/ZMi7zIdhgisQEL/lHsKrGbRYRrIrouMR1YgzRhqphGReIVgrnXRbjwKYOvKyPv97NH9jvgbYHeI9mCdonOS9VJf3Gywhm2mNsFlEW2BxiDDd873kQOGol2eAcYWPkCNuyXTzyq35e3ZalI5VFq72c4CmkDfbOBELoR0whY5IvBNVjnOMV5HAfqds+z8Bj/0hq27fhdWvGezlFo1R/8ot0W+PVZtuBC66M4fUMhJproGTbeul/ZWxR5QDia8cdn7tz2P9p8PtLe1CEanGmoy+8h34L5zd1RO+YR/zhBoKX+ziyow+vzS9ck9oFf7NH+u4U/gjzsVeKKVmVzD99suS+nmyUBXYEtctO58o//OKo+WGHSZPNwq6tLinx8BdmQiuxDVQGZN7YjkZ8JGOTc6MYdU61A7zT+sMwPR/ICtJrEbtjPtLhkGz9AumXv0rqyU+SWnov/rzc/NCYMICgto7ur3+RRV7luCWTRKUhCHRMMnTF7RogGJUCJ4CB9QXuWsE7SqF1Fw3CddbRGxW3vRdShugvG7H2xDEDNvaRGEu3zmPLNw6x6fnDYY7zfAhIg6HiI5XwHgdPAjL4tJmBkqzGeu/d+Lt2TtjuZKQssGNY9P4/Jz6naZS6B6H6uWCxPb78jFGCpgySHi+sQdTHvbAb79zeUKU+GiFyXwPOE3XhvPTsvtB/2RCq1LaSvawrfGmDIKxe19pC4kg7R6yBUf0BcCKCny+qTfJl4Z/aMpKx4xBtHlWsq2/bITSXUid9awuZd7TiLQ49/01gWGvmct7fLcasscJlnLE44Lwpghih8uoEVd+soeYL1TRVVlFoLj2WzAffe0pG9pQFNg83/WQ7Zmwmh0FPqLEIuJd2k35fC5lr2wkqQgkK6lwyb23DX5YOn3LGEHm6FtNvYzoi6DwX8gWER0b7LxuEfVYvHjruXe7u8IeKz43qkjFDWSSmjV2DOePHYIfZQNQL8LpzH494GDOs1aGXlz8/tPhW+A7GsnD+OEbkw3HM66ywBnYUZJkh8tE4ZtEY1b9G0D/NonMnyJE1SCpF+q8/ik4qI+XspyyweXCiUW6+cw92YtgQ0+AmMG2R8ZqjIVSRLQiaMqE/sgnIXNcevtCOhupzPCB7bQdBzA8FL2kKDiZjA8VbTP75pefClufdMIRVZMh5v/K0pgkKVE+CIIv2PoUs/hgqEYxjQb7UqrbindWLonRKCg18jGWwzrKJ/lGC+BeqiH2lktj/rsAaYx1WVxnYdYR0S/uk3kj9zWNkP/+Zad7g7KIssAWIVtdz0w83D/292qsn8mQdMmCFFuJBK/FLieFlHwPYir96IFR1R8qMIYzqWTOAvzyJdNpInzU6R7kH1u7EqGUhyJ2mgPwd3hfgXHMniXPeQ2JZI7WvW4FTm98Takr4XbDnr+DA5xF7IUgEq0A0kSZ8iCh1N/bTv2k33Rt3ke4cwPcCAj9gz3OdeJnRaqy6ivdkhmxrb5jwbvUAapduPfZ/+TOCzNQTqs82TnnHiWIkGpo4+wP/QNcjn6P6lQhmwCb6s3kE87IQCTCtUXAFe2clmbccDSN0fMKsE/mwwV87gB+AQy2RBxrwl6UwSYugwsdv8pF2C62MIkkXgnA9eGFQRbtJMXLFqLJaWLE2QlWtofOu9zN3dS1WXEeHx02Zsc6/Ggqu3wU4RFdcT/Ll+8Ab4VHlA2lD+u2tEA8QwgoC/VsOcKjVYcezvXiZgCp3FQ3rqoYMaHo0IPtIEq7LPZ/mFNLuhGvXouCPtw2EPcp5R6mS/uMPEPv372AKLIudTJyy0TqlEngej9+0kHXpeiRp5X95jOKt6UerPJwNtaivZN7ZColgeGQc6+KnEHloDqY1gvgGzUUfZK/uIJiXRfrDSCCzpxq/Snl69xG6UxlQqKgRLrkujrHAmDAjoeRUYjFC9dnLsKY1hy3ura/E6Ns+gNe1KzSOFSFMuA6ZtLLhsTSndTSybH4dZrmFHg0IdvioUdLvbgmnD4OkDdbmSqxtFVhjFMFBS7Igw4IbjxN/8LeIk8/KdeJz3HI6newY2+bcrzxAb7LwYr0EEqaF2VCD+ILBEH2oAQas0ZkW3OHfTWsE0xYKK4QOF+IbnOdqQ0NOrUcwP4O3rh1d3c66tzisvSCsJL/yjMiQsMIIY1igqBeQ3DOdko4GTPEMkCJQdcYcKk9rItJYM0FbwRghFhfOvzxGu5XEPezhP+mGmRMJl44GNsTwPSUIFA0Uz/bZabryn3PE8tmg0JJKkf7oh6dwv7OLssCWQN2qc/C+9H9oN8khl8Wx+F6ovg1iuh1id84j8tAcpM0hcmcjsf9uIvbfC7C2VmDaI6PaDyI9Y2Ypdmi00iDAzQaIgcpaGRLWfLi9+ZIrlUjzvxRxssihARL0EKmvJL6ktEwXIkKiUjBrUvRLdshJwifAJ2DT3h7WP5am66jPgd0eGx5Ps2NXmk1261B8U8FzI3gEPPPCL+jbuqnkW52NHHOBFZHrRWSHiOzM5SeelSy5/G34//Apui5rC9XXEagVIAuy4w1DsQB/QQbpt8JlHAFxDc7z1ZAy+SsGRBR7YzXWzsRQojIVWP9oip1bPDSA7vYgdJgogHGmGsQeAa8d0q9QeD3UQOP7h1LSqOtPat48Z4HFrtMPs9lu44DpZYfTw0OJQ/Qbl56OgHRa2fFClu6c2+IBu49fRXeTpvjyjYXQYvr59ceux0tP44N1gnNMBVZELOD/Am8GzgDeIyJnHMtrHkuar38/Wzor2bKghX4ng4oSVHhkr+zEfX0P6XcdIX1DG35TmqDKI/3WVvwz+glWpHEv7iZz/VHUKOIbrENRNO6PMlApCi44W6pwnq0hetc8yAiBr/T3KkHOwLprq4vnkl9ojZQ86o3GAqsCDvwz+L3kd7SIQv1bYeBFsGuBsA5vKagqbhY2/TbDwX0e++xeNkSOsMNqJx0Mu12+8qLL2ZdERnlouhKwz/QUHWV7JIMayAx0s/m7ny7tlmchx3qEvRDYqaq7VTUL/ISwqt2sRES47lvb6Vu8hgOvO0zqfxwi885WgsWZMKA9HqBzXbJXd+AvSRK7YwGx/24i8us5kBW01sNflrOsZi0ybz6Kd1o/QaVHUOGhkYBgrovGfcQzSNLCfqmK/TvdIWEFSCeVl57NH5LnzKkjOrf4vDK8mbHBAH7OClxsJMtC5y9gYCOkXwUxYSDAvNoix+QuJ4Jlw+IV9phSQ6OFMJNSNj2ZJTYmeeM2u3OU3/Hw0YqLz/NO69Dptt32ZdJd05nHn7gca4FdCIxMtX8wt23WYjkRrvr8g4hTJGWJDd6KJBIIomFu4+iv54KtBPMzqAkIGtMQV7wLe8nc0op7Ti+Zdx0he20H6ZuPkL20M1xN2RWlvcUfp6E2Lsy/Iue79bD0n6DuBgo78wJaurP/iIPG/Bl6JcUW1pd0tACtB0urtpccmzzDwMORfXgEeLl5b4ByQPp4ILqHHpMZvogq2+74vyX1abbxmhudjmX1umOFHa9g7SeeKt6oenhIDDMrGkxLBPqs0NfX0VGxtcHyVLgqHgmNTP6yFN6afqx6n/Mui/H6N8SwR6xYiBSYZWqA1F4J8dOZeiKlSWBiWLFqok2N5PWTHEHrIZ94hTB/kUU8Mfn14qTxuD+6i5fso2x12jlyRQsvVBzBNePvc+t//TP3f/hy+g7tmvR1TmSOtcAeAhaP+HtRbtsQx7x63TEiOncVffbFoVN8viFj7JMVIGVhv5JAfIO9uwLpzMXaBnna2+CvThKc04/tCJXVhtVn5arMCTj56jGbCJGVN6Ptd0LL1yiu3s4QGsCa20hc8RUqL/0IWNFcV2xii+eQWDEPpy70vKptMLzu8hhr10W57IY4a86d/JqpK8peu4e2hl5qlgYsP90hXplf+Du2reeBP7uG4CTyNz7WAvscsEpEmkUkArwbuPsYX/O40fTeH9P6aoE1y/SYxX4ful+w2OJ14RMggRC9v4HIo/VIZ371Vit8gsZQ7TSWsHiFzcJmG1XoOhou8QxWgleAwCX9wldIrf8H0OPkrtfwTiTSgKl/I9Gz/h577nnYVTFqzl9OfNEcYvPrqDxtIXZdBbGYYDuC4wiWJSxa7jBn3vhXcKLiXpW18Lororz4dIZdW12SfYWV7EzXUVo3PTrduzxhOKYCq6oe8KfAr4FtwE9VdSYTDr2mRKvqaP6LxyAjY2JSwX6pMoyFtTw22Uf4pbOLp9xWdtpdHJFw/igIVksMZ0PtaJ9iQkEc5flDmGX/9PMjLFxus7DZQUSGfwYv7GdJ7T+C1z/WKBUBiYVJ2iRC0f/6xLkUr2412KEoVJw3alPi4r8jsbIprA6QU5HFMvgDmaEqAYNYNixYMuZjJbD6LIe5Tfn7ZyxYcUYENwtHW/xRxri8XRSfzvu/RJDpmfh+ZgHHfA6bq2S3WlVXqOpnj/X1jjeJJWvwsrdAnxkWWgHv3F7ci7t5ruEg++zeMI+whPs2RFrJ4jNkfmlzxo3IhaJtbFtYeYZDZXWROWCgZNvH5j7Kgl0DsdNg7ntg1bcpuNbq90PNNRPdejiK7/0b9MDn0Fw6VHvBxXmXesYKK4QqvTeiOrsYuPCqKM1rIpx7SXTUnH3o1nw4sNNjoC8YtfzrRKB5jc2ZF0ZYuMwemk5rAHWRZ+n92OsI0rNfaF9zo9PJwLy//haxSz4XZmkZXBuNQHpxkta+7LgpbiDKg5E97LY6aTF9bI0ehYoCGR9yKu9IIlHJP28eST5nBrcVki9C++1gVYJTwGaQ2Qm9j01wgUE86HogXL8FRAxiVY9rFWuqH/d9EBHcmtcTTTjUNxouujpGfWM44hpLiMTyf1BUoarGDLkxxxPC5TckWLk2wqJmh9PPj3D5DXHmLbQ4c51DpFLwT+uk/zt/WOI9nbiUBXaGSFzxh9iN5+F7iucpnqsM9Plj1hyHWXK2xcL3pah8dw+Ji1NkM+Mbeq7yyuYsWzYMB3UPzlfFKhJoZaTIWqyGdWVbvwuNH6Cg6quTSHSmWeh+GG3/Gbr7L/MW5soXZCICq1d38OZP/T3rrq6kZo4ZVQ1+5doI1pjuWRYsWm6TqDQ0LbWxLFhzfgTHAStXoMt2hFhCOPfSKAubI7nACHCzD5Ha9t+l39cJSFlgZwgRoeadD5GVOWx6Is1zj6V55qH8hh9jQgcCkdAIs2CxTUebj+/pUP4k31fcrLJ/p8fhfR49nf7QdWxbQitWob7YFiZWzAIbQGoHzLkRoksmc5cghc7rw+GvQt/TkNk7ao+qkt7fnlcr0N49pDd8AcEfmo8PahU19ULDAhOmt3IEYxkWLLVpWhp+rNaui3DVWxM0NlnjVO7Bc43CgeSjf8LAhi9P4p5PLMoCO4OICHPf+h+cdXGMqlpDNB46vI+1eq4+xyGdVHZtzbJ/p4vnQWOTzbOPpGk97NPb7bPvVZenH0zRMM9i5ZkO2UzpYZDq+fjJCazE2TbIHoU5t07iDrX4yDtkmR6tLagXjE/kNva8IxgUtljC0LTMoapWOOfiOGsvqubMdcNpV0UEJ5JHMAuRa5Ze/2k0O7NlTY4X5QD2GSbefA1VZ9/K2tjtQ3nBO4/6PPdoGlVYsMQi2ae8sjlN4Icq3iubs1x4dYy+noAXfhu+9MbAhdfEqKw22I4UdfYfh0ie3MRjCPph+7uh8pxCJ2FyidsKtxfbIJbJkxiuOJYlzJ1v8fJ6pb0lg+dmmTc/gu1MP0g/te2/SJwz+0p/lEfYY0DVdV/Hm3NFqOIq1DUYEpVCZa0QqxAO7vGGliN8P8zNtPnZzCibTNMym8oaM/RyFgunG0cQkO3owxuYaC02C/0b8+8Sm8l9zwt/IESExPLGaWXDaDvs07Lfo7e7eKRSqaR++7ckN31t2uc53pQF9hggYph3y49JpU1u7ilcdG2MS66LF7Tw9vcoi1dZOJEwQXjjQiucq04FhczhLno37yXd2j1x43w0vAvq3jS16+ch0lBN1drFOHOqkGhpHwJVJZNRnKgQjRvEwNYNmalmbB1H6ul/oPf+D8zMyY4TZZX4GCFOgnnv+DYDD34QgEg0/DbGci9evgFpzTlRTj9XSKcCLHtE6pcimHiEipXzsaviqB+QPtxF+kB7uDNQkrtbic6tHnJiGE+Btz+5FQZeKuFOS0NEUNfHG8igng2WIEaRWD3O4ivJ7Lg3zNCo3iify1hcuPRNcTJp5ekHU8QrzUzJKwDu7rvwevZh1yydwbMeO8oCewyJrXoHZHsYePxjDEpoY5OFZQu+P+yDbGwhWmHh+haO5ROLm1yqFEgmfSqqCiy9GKH6rCWIbYWGGtsinoucGRJaEfxkFvv/tXfe8XGdVd7/nlumqnfJVS5yTdzj9EKKQwJJgEACuxDCspTALhBgl7bswgK7lJdl34XQCbALm/ImARLSK+nFdhL3uMq2LFlWL1Pvvc/7xx3VmZE0kixbzv1+PvpIuvW5M3PmeZ7znHN+eZkKlAVwQ6yGO5IEel+d4NOn4ysvx1j4OZJtLfj4s+t0VkmQ3YQ3fJi4tZrepz6DircPmR7oOoTCwtmXBTm0OzlajkHOdN61gZIbd0xeadjjiDckPs74l34Ac+7A0FI3hEtumkfVovyUoRos21DFaZeVoaeWNsCds2q6oBvCwT2ZPbO+0ny38NqgD5roGoGa4oGDHIXmG/y9LKCFoXADLLo1S+Du8SjMp0PJ1WgzP4C/oAkhgagYbpnJGHQ9hR59FKyerLUugiGNuhXp4lwTJtZM73NfndxrHie8HvY4I6JRcMXvaL/9fJzWreghPwWzCnjLTUOTvqNH2unenS6l6PMJe7YlqJlrpM1pxRyo4qgcRfTgMeJNHUOWUPSQDzE0N4YYBcFFMO8HSKrQmsLE1YPMFQO0gOttHhUdFt+O+Gvce3ZvJG1OoOLQ8ywoa8A5NQnOpbES3/ITwmd/DRkt8+AEc3K37hSi6F0P41t4LVrAzBj1AyqjJ9hx3BiJns4MkVDtA8LKvfuaiDW2u8s5g65vVBaj9BrXUGd9Gebf0m+s7m1zUWvX3d5ZAhCsg8oPju000eDY79zbJY+5hp7p6iEfeYtnUrG6QLcAACAASURBVLy+juL1deQvnz1sdHAcUTbWxvegnLGLa58IvB52ihAjQP6lPyOx/x6k8ztD9kXqjxFraO1Pl+sb8lmWYu+2BLYNgQwJ33Y0QfRIG4HKIhLNXekJsgJmKICmmqC3GSI7oGwXqvc10IOpAP9cejEFTi9oBVB0GTT9eIynJaHtzygnAR2PZEjkTTVXBLMo1P/8Rn6A/OWz6dy0L3WABnoIrPFUyxitjRDd+zJ+/WZ8K3940va0XiHxKUYphbPpTDf9TAQ7nqRz4760D7HjKLa8FKex3qZqps7Kc7JXtdcCJk4swzxXE8ILq/GXDQ7GHxTgIL7UfccjkNz3XT/W5HADRM85T1fZNl1bD2H3xEDXCK76CNHNvwY7c0/ory4iOLMMMXSs7gixpg6CNSXoQR92NIEViRM73Jr59QLXEeYPU/jX29F96SLXxwuvkPhJioigmXn98zOrK5oxy0050HbUIa9QOP2sDEnymhCaV0nxmXUUrqp1BbCMYW+nAiN/eO2pQV8MKsH4jBVcQ80lcskaV1K9UqAZKS+5Ai36LEWX3oy/qgwZJsrlryoiNKcCzWcgmmAUhMirq8HIDyKGjpEfxF9RSP7y2ZkFvVL3UIkInXdelHNbpwLPYE8ENX/n1nVSCi1LEIEIVNQGXUmO4XPbvp6zsrA/UdwszXc/iH0eVE0IzilD92ebM7sodMBMBfW7otQpVS9gZAWA7OipJPmJIyKDCqMrzLwY0nUPodpSitYtQA/5+51UwZmlQ4w4mzdZM3WK1s7HKAxl3I+jUF37ie/7w6Q8w2TiGewJQMquQfRClFLoIT96hswaoyDAOR+uQzfT3yIt5MNXmj8kGEJE0EN+QvMrCc4pp3DFXIIzSt2djsKx7cyGqyzaY2+Bqo9CzcdhyV3IimeQFX+Bqr8Z+UHMqszZO2XvgYLzRj43jZRmZ1+zlEI5Dj17GvulNMN1NWiGjohys3M0IX/5LMILq93lrQwF1IcbrYi4+rmGTv6SGdnDJZWi58EPkTz2eub9JwjPYE8Uy+9F03Q6N+3DjqSLGPsrCl2nUcmg+sF9Hy5bZV3y8JXmY5bmEzvaQfe2Q0QOtRBtaCXW0EayM5JmtCJCvvYAHVtvh+gecFyvsXKS0H7fyM9gd2XuSVv+FzpzrKMkAnO+Tl+vLiIg4taEqquh+IyF+Evzh53iBov4ywrIXzITqyc24mhiOEqBma2XTdF150WobEnNJwDPYE8Qovlg+cMEZpSmfcuLruEvL0S0VIaLAD4dsyiMWZKHE0+isqjGdW45SGRvE2Z+kMDMUlTCIna4jdihVnq2HcqY5iYadB16A9ofgjf+BhXZ4RpcYrRi3A7Zvczj+JDnnwELb4GiSyG8EhETszCEryQvbb7a3/ZUD2oWhTELMhtfNiMWTdyKjvpIgRiKjj++I6fHOJ54BnsCET1M4Oxbh8y99LC7lKGZbv3ivMUzCMwqo3j1fMILqwkvrKZo3QKiB1tQtjPkwygiGGE/+UtmYpbmYxaGCM2tIH/pzAHHVgaD1XRBMwRw3Kijxlvc0EQ1wpqk+KDg/NwqU4z8asDBf3H/LL4MCi9iTIXghl8ly7x1eKkdpRSI4K8qpnjdQnzl6WVt+nCOPE3kJEl695Z1TgJUx+NQ/5WMwf5u3WOVFrzvxJN0bqmn4LQ5QxxLKmmnBRso2yF6uIXEsW7M6lKClQVogzzKynGwIgnMvnhjLR80H1itGVqrual34RUw999h+1Xu2ux4EF+/esDQW6Q8204uQR0ug0vMZPq/b9vw19mKxunatH/Eaxdc+yRmxek5t2ksTMmyjoh8V0R2isjrInKPiBQN2vfFlGLdLhGZvDytU5HCi0Arytw7ZJmriqGj+Uw0n9Fv1Mp2MjpeAIyCEMG55Ygu2JEYynZwHIdj+7rZ+lAT9a91k4ymlmmcSBZj9UH1TbDof5D5/4nowYmFHWcyVnANdRzGCmBH41hd0ZTTyk2wyOR4SrtltnXZQXQ9cuKLuE10SPwIsFwpdTrwBvBFgJRC3fXAMuBy4JaUkp1HBkQE6n6ZeacmA0s1wwjOLXeDjxJWv+czmwEZ+UF8JfnoGnRvO4Rj27x020Eev2UPWx5sZOM9h/nj17bQeTSarW4E1P4bUvE+xD9zYHMqPvj40bfcNAYkgB4MkGzrAUdhdfZmXuPOMKrUxqJY37mb+KGnxtaW48SEDFYp9XCqWDjAC7hSHOAq1N2mlIorpfYDe3CV7DyyIP5qmPX19O0ZiokppbAjMXq2HqT9pTeIHmxx80yVu9wxeL6mHMdN0DHcQmVi6OjhAK31Ueo3tWMnnFT9cYdE1OaVOw9lKfCmucPgwe1ofxxiBybrJciM6FD9EdBHV8hDxRBJfZFpglEUzj6nHVRCRzkO2E76Eo+WLmDUc+876H7ys7k+xaQxmU6nDwEPpP4es2rddBTDOl5IySUQXjemYyMHW93km5llhOdVYoTT085Uau4rmtY/RDSLwqAUR/f0YCeHZ8zAsX09GTp0geDCIWuuyo7CoW8w/kipMaJi0PgzV40vvAa3x83GQHG2jFUTU9jRJNGGNpyEhbJsEi3ddG89iJEfJH/5LHzlBfjKC/BXFWUcsSS230p0x20Tf7ZxMKrBisijIrI1w8/Vg475Mm6s2u9ybcB0FcM6bsz/gSuBMRJKYYR8oGsEqoszLnn07G4k2dGLY9lYkTi9exr7e9vwwmoCAZWxULfpH3YtCbhOpuhu2PIW1L7PoJJtENnm9n7jQUyyqg5kxIKWO6DkilSGUKaPrY+xeJXdkYci1tBK794mHMvBV15AwcpagnPKMQvD5NXVEF5QhRPPHicdeeIm7N6p16AddXKglLpkpP0i8kHgbcDFamByMKpqnUdmRAS15F7YflnWY6yEoqNbp+qMBZnnt45CJSx6th8e2KYLWsiPkRcgsruRUr/NhVcGaTpss/XlOI7t6tbULtJxLDsVv2uCrxzijfTHDXe/CDuvgxn/QG6xxH1oUPpu8FVB009z8DBbcORHqTnz8DVegaLzwayG1jvdQulZEBGMkJ/wgip8JfkDy2l+E93v9t5KKZKdEZJtI5dC7fjdGko/cmjEYyabiXqJLwf+AbhKKRUZtOtPwPUi4heRWmAh8NJE7vVmQsw8qP50//+DnSS25RDrTvLM/xxi15PNmYd9Alb3MC+rrUi29dCz7bDbcyiFprtarUtW+fAFoO50kzl1Jsn2VPqaWQqJo6Rl5Di9cOiboBczLno3Q9MtuS8H2W0Q2Zphh4L4Eaj+GMz+GhScA/lng1Gd9VL+8sKMYYnKUcQb290vu9E84FYvHffmUtd54kw0H/aHuLFkj6Q+OC8opT6mlNomIncA23Hf7U8oNUKpeo80pOI9KDRo/D4dR6KIJvhCOg1bO3n9vgasmMPWBxtZdGElmjZQsM0txNaWcTnI7oq6H9JBu1wZS5NZ81NzQ01z6xpr+Ujeajd/NSMJBlTwcolqciC6Y4T9uV4vRajO/fIqPM/9AVR0L+y+0a1ikYFMX3bKsonUj32oax96FKe3CS1clXubx8GEDFYptWCEfd8ETjm1uqlEKq5FHfs9LQe2sPGuQzjWUCO0Eg52wkELuMs5yY4eYk0d2NGEa5jDjVZGF9ESETd+2el1QxVHGvZabakyMZHsx+SCUQFWyzhOFCj/6yFblJ3Eaj2AriTjbFmRPotWtkOsoS3nteXuv/wjhW/9TW4njROv4sTJzoIfUVb/1oxTVV/IYOvDjeQV+5m5PI/o9sPoYT/hBdV0b6lPPyEVjpcREbSA6ebViiBj6eXCSyevFKoWgsoboeHbOZ4oUHQJ4q8hvu/PRJ77Kk73IUCB7ic4s4hA1UAsspVUJCKKQNABU3e/1ARQCjuSINbUnrPBWvvvw+4+jJ4/c/SDJ4gXmjgNsFue58Vvv5NDr3ZgJZz+rkHTBcdSrlCUBmddEiCUl5LFGC7VIRCYUYrmN4nsbRqySwv5CM2tQDQNJ2lhFITQx1JLadH/gN0LB74Ednf2yKWxUHAxdD83phpTTmopRlmCXlSNtvBbqHgP3Q+8H6z0832l+fiqS+jpgj3PN1NsdlO1pJi8umo3JttR2JE4Vuf4RwrBNZ8jtP5L4z5/rKGJnsFOE5JH7qPxsc/TsKWTSGMnzQ1Wmvq4YcIFbw9jZliq9FUUEl5QhYjQu/8o8cYMPUkq7xRHEZpfSaByhGCFog3InH8GcNPP4geh5zW32FqiCQK1gA6xnWN4ur7lmNHdHFZvnO4tB935vZ1aAxYTN3Eh+/lWUvHSEzG62h3O2RCgbGkZoTnlJDsi9OxqmHCFRmPWW8i/9BdogTEEeGRgrAbrDYmnCWbN2zBqXmbFnPvZ9ojQdDB9rufq9DiYGZLele30O1kSRzszD/uUcnNtgci+o5hF4f6ljjRiB1A73w+JetDz3Tlk+fVImbs8ryI7YM/Hxvh0irE5mkx6DyZQts0Q4x5jxlCfJs/urUm2vNKI0o4xZ00JtYuKSTa3u19YjspaJG4krENP0P6r+Zi1V5C/4deIdnwicb30umlEzcVf42j8M3Q0S8bq98qBSLeT/nkTQQ/7gVTY4mjKduA6sdpGWHaJ7YL4XtcDa7VD08/h2O0D+4/+NofUOzeUMtHSRbytO0v+qo6a/Q2s1n1jSlIfLJjlOIp4TNHT6W5rbrDparXpPhZn+6NNvHBvG4Wr55G/dCZaaHylbaIRm8aDSZpf+hPtvxtbtNp48HrYaUbtpe+jevWF/PG6WobnsJdVC6Zf0p1LkqpgwRiNte+0bIXKMqFicOy/UeXXuT154shY7wISINnW7JaDsRWJ0jzCC6sR0d2MIM2PPfPbbPrVz9h7Xy+OA2WVGsvX+QmEBqUJAiIGKItoryKQytKL9DhseiZzATjHUrQditC4sYmwEUMlc1993LM1wb4dyX4RheDG7ZxbeTOll30/52uNhmew0xB/STXrL6/m2Xsb+7fNX6qTV6jT0eKg6xAMa2g+A7MoRGhWWf/QduwBgQqzODQmQa5+rHZ4/VyUngeBhbgfr2FroMHFEFoGva+iYvUIFqhof0hgz44Gkq09dLTtxigMk7/hv5GSc3nxW3/LoSfv7p+3txx1ePHxGOdfGRxon/gIrv8i2HHq/7KV+kf+gGMliEX6yrqmSrwO76CVomN/J6G5g8xB9BHnxH10tdns25nEcdzCFZWzDAIhYccdP2Xt0vcQmHnm2F67MeIZ7DRERKi6+vsYD70XKwFlVRqH9zskE3b/cHj2Ap05dYoZ66qH9LZi6BiFodE9ogpih1sJzClH2WpIwvuoJ9rdbqyxFgSSbqigFgSzEua7mqxq6wZk0DxUdA2zMIwW9OFEE6DA6onTe7SLpmdupf7xO1FWcshtEnFF21GbghIdTQffqr8ntPpTACxf3MGB554m1jWop1cK0wfJYc5spaCgzATTrZ8lmk5g5SeJvvhNRlvjyS/WWHOen+2bEpxxYQDdEHTdTf7Z/5O3MufT2wiVTV4Komew05TAwndSddpaGja/QqRHEY8O/WDVv2ETCluUdFqEiofOy/LqaujefsgNsFDpPY5SiqOHbeofPwJGM3UXVTPztEJ8ISNLb2uiSA7tvVUc9HzsvOuJbPwZVtsbSLiHkPkIekE5mp1EaUL9pjZ2PH4UZUPt+mJmVJquwQLKcnj48+8naWlDjTWFbblC2AXlIfLqLmPtyk+w98+/puvwHg4/ey/RlvRh+fzlPt54LYFKKZroplCzMED52tVoc/4OTfdjzrqQ5NFNoPvAHrmWsohQUqGz9vwAPr+41RwBQ4OScsVLXzmL83+0D02fHCeUt6wzjYl1tHDPtfNwkpk/VKLBuutmM3Oe6Vb/TyndJdp6iB48hh1NoIf8bvWJWKLfcA/uSbJ3W4J4KoZe0+Gqfz6NUFG6Q8ahBLu7DSMvQ3kb8dPxyiFUvMP1iAEYQbSSJRTWdvPCbQfZ/1LbkHMKSjTOuiSA6Ab1u5Ls2DTCuqwIhXOWsPCqv6Vs2Xoeu/lynGQSO5H9nNIqjVXX1rLvxTYiR7upnm1QUaMhuo5RtRa9fC3xbb8BOwpGCJIRxuLBzlbe58AbSYKrPsWyD44c9Oct67wJCBSVcdkPn+DBj56dcb9yoPHVYxRZQqK5k0BNCXY8SXT/QKys1RNzewVDIOl6a6vnGMyoNdi/M8merUkcG6KdyTSDVY5DvGE3yfYe8pfNGlJ9UKHhqAqU9caAsQJYUZyWrRzrNtn/8lBjBehqc2huVDj5y9ix+cWMz6X5Agiw+hPfoe6ajwLw5xvXkOxNV/8bTmuTw+b7mjjjkjCqe1Aao+NgNW3EanoVnNSYORlhIjVwHBviEcWhe348qsGOFc9gpzmli9cw99L3cuCR/824v7jQwkoavHhXK51tLZzxlgAl5QPDMwHspEO8S7lRUiL9gRdzF5l0tTs0N9hsf/gI59w4f+hcViniTe04CYv4sU4sI0Bve4LWgxGa90QJlVjMKOwlGB4+/1W07e3Kagv7d0FX28ahht7XXsPHqo9+k5nnXEledS0AVrSXzvqxBGi4tB+OsOv5BHXLh40YnGHruzkkISgHHKXQjYHib44DDfUWujF5o1jPYE8Bzv7Sr2h4/gGSPR1p+wqKdJ57KEYsNccNZlDB03XJ+KEyDGH2fIPmBpuGbV20b2ugqK4CzWdi9cSI7D+Kk7CwkoqHfriP4R2c6F3sF5szLw6SX9RntIJRdQbh2FYg89JPZ5uVcc4qhknp4tWAon3vVjb/9CskezqZdf41Wes0Z8KxFD7f5IpCa7rQ221jGO7SWmerw7aNcawEzF0xeTHGnsGeAoimccUvXuKP19el7TuwO9lvrACtR21q5soQvR7LUiQT4M8kkCeg61A9x0B6eunMUAp00zOxNGMFULaNDezYHOeMi4LYFujBPMLnf4/8DaWYDy0gGUmfb2YyVvd6Fq3bX6Z1xysoe2C5qHHjYxl742wEQ+4X0WQTztfZtyPB7i1JNN1tUiCsoVefQ9fBXRTMXjThe3iRTqcIedVzWP2J76Rtb24Yupa4e2uSZMI1UnBjbHs6HfbvTAyJDgKwbUVnq8OydT6Wrc0cAaSUoq15ZGNpP+ZQvzvJnu02DerdGCWL2Hzr9zIa64gohXLsIcYKkBZBMgqz60xkxGr/42feEh+XfOwSZiwsQokQjcCu++7g/g+v58Cjt49+gVHwDPYUYsl7PsUZn//JkG2JYdVS8ouERNzBsaCj1Wb7pjgvPh6jYb+NbQ2tjq/rwvxlPmrmmCglOI4br5yIOzi2e6xtjz4/Uwp2bEqwf0eMYzu3AfDG3T8a83OJbsBkCCxrguHTmLXQzKmiVE63KFxAwcX/ScPeGMpW4Dgo28KOR3nhezdhJ3KX3ByMNyQ+xVj4ths5tu0F9t//64z725odOlocZs3XMf0ap53hp2aOzZH65JBq+enFtxXPPhClp3v8DhTN9FO2dD0AzvDohRGYjKVH0WDOmhLWv3c2nS++MeHrEa6B3kaGe86c7oP03HU+4QKha1h+hh2L0L53K2VL1oz7tl4Pewqy6m+/nrVHcmx3WAwD5UBLK3VOOyOAYY5cHnTJmvFrvmqGDyMQYua5b3d7mVyyWVKVDieCcuDg5jZi3WNNSBilD050Zm6Tk0CcGMlohuG+cujY+9oY758Zz2BPQYIllVz4b/dkNdpEbKgoVJ+RKqXoarexkunCUTtfTbDxLyMP53z5pRm3i26CrmMn4zz8yQu5fUMxacm8I6Ec9xoTRDeEzqZYdk1Yt7V9Nx35YsnsmUyRHodsI9/uI/tGvu4oeAZ7ijLjrMu58N/uzrgvv1gwCkP4KgqRgI9E3DXQ7ZvivPhYjK2vxEkmBoy2pcnm8F5rRN+OEQijBzK5md36Sk48ih2L4CQTqBGNNUulfmsC1SxS2JaisCpIoLo4S6kcPXsJnRyI9DiUVOjpj6JpFNUum9C1J8VgReSzIqJEpCz1v4jI/02JYb0uIqsn4z4euVFz5uX4Ckv7PziigT+scdnNS8hbPIPQvEqKVtbilFfgONBYbxMu1DhtnR9fqqB4R4uN40Be4cgf5NoNf4XuG6UA+pg4fqGyc1YXEyoy8c8sxV9dkuG7wc5peSgbZVUGK870s+6CwNAsR9GYff7EtGYnbLAiMgu4DDg4aPNbcWsRLwQ+Avx4ovfxyB0R4Zrb9wAahaUacxcaXPqRWfjy/WiGjqZraIZGeV0RR5p9WEmoXWSi6RCLODz9QJSXn4qx5cU43Z2KorJsRisseNuH0MzJMNjjR6y1h85N++nddQQrXoxec+Fxu5dhCoUlGlWzUnN10Zh3+fvRMy52j53J6GH/A7eY+OCvxquB3yqXF4AiEcle1dnjuGEGQ7zj/+2js9XhaIONr7QgTWvW9OvkzSwEIJTnzmdffzFOpEdhW2Al3SlnV7ti8apMc0nFA397Fl0Hxh4eOCE0DSMYzvm0owcSJHviWB292K17sBuenPy2DcIwhbJqw81PLilnxYe/NuFrTrTy/9VAg1JquOtrzGJYHsefUFk18y7/AJEeRaw3ff7o2Ip4rxuMkIgrrKRD+zEnbXQq4q7NBsPZKv1mH87qvgC6L4Bm+hHT7/7WDXLT2Ol7nhmYoeyK6dkQIB6buuw0pRQ+P8xYEOTK37xOsKRywtecqBjWl4CvTqQBnnrd1HDWF3/OnEuuZ+fjR0nGhxqtYznse95dNOzucEb1uwzEBY8dx7ZSJVyEqlUX8vbfvkbZ0jMYz5w13t3mzpn9oZzOEw0CGWKpsxydc7uGrxeLCKUVOk0NOi1bn8v5epkY9ZVXSl2ilFo+/AfYB9QCr4nIAVzBq00iUkUOYlieet3Ucc5Xfs3BbTZbH2wkGbOxLYfe9gRP/2ofXc3uOsSReotYRFFeo2VcFaqo0enpzN0xo2wLJxHDTsRofv1pGjc+hr9ofO+3spI4lsX8K29A8wXQzIH14XCBsP7iABveE+KSd4aYv8x0i9AZGotX+obEUGdHMOZejoQqGY/h9mFbioN7k9hJh8ixydGCG3ekk1JqC1DR93/KaNcqpVpE5E/AJ0XkNmA90KmUasx8JY+pQkS46r+3cPc7ZrHziaMYfp1k1O1tdZ/GFf+wmK7mOK/ff4SORof8QqGnUyEChk84bb2PtmMOkZ5hPYluouyx68TasQgHHr2D02/8Cg3PP5Dzko2TTNC+5zUu+Y8HWfWRbxLrbOG1W/+Vw4//L2de7MMwUyp1JsxbGqB4wSKKzv4M5s5/cnNcBVQy6gZvZKwooXDathM685/pfeqzbjJ7VlJ1onDvmUy4r5do0Nxo88ZrScQ0qDj93JyeMRvHKzTxfuAKXOX1CHDjcbqPR44ESypY+K6b2H3XLUOM9bwPzyO/Iki4LEDFwnwe/v5OOptiVM3SKK/SCeVrKOX2sJdeG6K1yebV5+OgB8irnkvXod05BUP4C0soqVs9vg5MNFAOsfZm/EXlvP4fX+fQk3dRPdt0jWXQmF7XHMqCuzHa/4hv3RcRzUACJegli+l9+h+xDj8JTvqXjdNVT+8Tnxq5VKvmQyuci9NZD45r+D1dDjs2xYnHIB4D3R9iwZU3Ujh3yTgeNMOjeyVi3pw8+7V3c+DxPzHvzFJWXTUDf96A99dxFAc3t/PcbwZS6dZfHKCoVBsSbxyPKp68L4aINkowxFD0QIi3fPc+Et1tPPeNG0lGRtZhzYim4wvls/Lj32LTf30eK9bL3EUmdaeZaCNl4mg+JG8GJLpQyZ5RazaN2ISSpYTW/SN21wGiL30LNFeoOp4waAu8h0RSmHn2lZSfdvaolSe9EjEeI3L2V+/gyKZZ1K4rHmKsAJomFFYNrBf6AgwxVnB7MX8QSiuE1lHS6wajB8MES6p4+QefpnTJWuwcU+P6cWwSPZ1s++/vYMV6KawKUDwvH7RRqkE6CVRXek7vuJrQtp2eh24AzcS/6L0YNWej+QspmXURNfr4465HwjPYNykiwpW3bmT3T9ZTOieM4RvwMNmWQ/OegV6voDC7b7K4TKf1aBLdFxyx+Fk/StHTsBeA7sO7UTlk7WS4GPHOFhZdWMWKt1Wj6UKkvplEUweOrTKqIxwXnCTx3Xfiq70C39zLjuutvFjiNzGhkkpq3vYL4j1JrIQ7pLUSDomIzbZHmtyi/Bq0t2bvBVua3PXbQHFFap3Vhx7IHtRgxwZ6QDseZaJWVTB7PivfXo3h09B0IW9eJQUr5hKcXTaOq+U2obZtReNBi12vJdi9uZPDD/1nTqVqxoPXw77JKT/9Ep7+Qohw8AClc/JoO9TLnudaSMZs1l3gp7vTLcLW1mxTUqEPmcN2dzh0tLo+kN6j9RQvWkPBrAUgGvWP3jYmUSnDH0RCBSS6WsfV/tUf/CBi3AkMzEWNsB89YJJs6cSJZXMaaSmB68Fz78HS9D43rjiLenukx+GFR6MkEwOPuW/nY+x4YR2X/tfj+PIKx/U8o+H1sB6c862n6DrQznO/2ceuJ47iJGxOPzdE2WnVzL5wHnPOqmbrZpudmxNEex1iUYf9O5M8/8jQchbtuzZS/+jt1D/yv2NWgLNiURa966Zxt71s2blomTSABFcnR/OhFdW5DiE9AGYYLW8GeRtuxTf/GjCCmS/sJLIaK8DWl+Mk4kMfUzmKzoM7ef3Wfx3384yG18N6oGka6/71Rep/fDbhPAgW+yhZMw80N+CgeGaI2jNKuf/ft1O/O8c6TKOi2HH7D/qXatLIth3QDBMJLQb/bIjupU/HR9kOidZulAQIrv0soTWfQTk21rHNkIwQ2fyf9DzyYXAsxpsd1H4sc5uUZXHoqXtY+3ffG9d1R8PrYT0ACM9cxrzP7+WVpxN0UoToGnqqBrFuapgBnUUXVIxyldxRtoUV6c6e1pbNWE0/sy5453CvxQAADmFJREFUB6LrWPkfwgmuRUkAx9GIHe0h2iiEzvwngqs/Dbh6OWblWqKb/y9WwzOptdfxL2n21R/OhC9/fKLOY8HrYT36CRSVcdFnPo2uHkxby9RNjdK56c4kTQMktwIS2RDdpHbDX3H46T+S6G5P26+bffNnmHVaEctP76HtJxWAAs1A/CUUXHUPoVVLyBRl7MTaSfYb68SYf9569jzzKvawKneaP8iS62+e8PWz4fWwHkMovvgb6P4qnGE6srblQDTGzHkGeuprfslqk/nLDMK5J85kRmDd33+fitPPybg7vyLAtd9eyTVfP40lS6PYR56iv5d0LFS0mc7bz6H7L/+Ydq7Vtov4nnuYSK+qMFBiosLzWPn5P7Dkuk+j+wbWq41gmBUf+mdqL3vfuO8xGl6kk0caKnaQ5OvXoRtuRXvlOCjbofPVA9gpr+u+7Um62i2ONaqx+pdGZdYFV7P2mnPo3vEQ2x95gSP7B+om6aaw8qoZLLqgknhrF707RxOMFiRYRmD1zVhHN5Lcfx+iGW50U44oYMeumTjd+4n0KDrbdcqWruei796LZvpwLAsnGUP3h8atUjfWSCfPYD0ykuzYSduznyVoNqAnY8Qb21CJlFNHKfbtSLBnmzUZFVUACBYEueDKQL8QlVIQ7VU8/1gcx3aYsbyIsz9QC5ZFx6Z94Izxc6v5UpKa4x8G79xZyIHXhn5BiG6w+qZvs/jaT477ukOuN0aD9YbEHhkxixZTeeWfwV5FrL6531gBjjXYRLoVkyR5CprG2VfPG1CNw10iDeUJ519XzhVfWMa5N85D04VES3duo1onMSFjtQlw4PWmtO3Kttj/8O/Hfd3x4hmsx4joxbUM/5iUVOosWe3nwqtClFVPwGpFo2jecq74xUuYyUMZD/HZEfLKBuJy1STUKB5z88LVqCVfSCup04dmTNY31tjxDNZjRALLPgSiD5mnGqa4P4aw8ix/TjXB+9B9Aa65/Q2uvHUjxfNPAy3zgoWybFTSxrEclK0wS8LH1141P4GVn6TkY8couWEbhavemzXTpu4d4w/4GC+ewXqMiJ4/k7zLfp61bIxSbiZPzojDkYduRrU/RHTLL8HOkgSgoOOVPfTuaqBnTxPdrx/MfNyYGaGtmok560JC67+MpL6FAkXlzL30fWjG0Oyb4oUrqb30vRNsS+5467Aeo+KffxXxuVeQPHB/2j4Rt6piNkRwwwSHOacECzpfIfrCDuKNLYzYbSpIdmSvtJ8bDog+LIYY0PwUvOshzPLT085Y/7lbKJhdx+4//RxlWcx76w0sf3/60tFU4HmJPcaEUoq2H5embevtUjzzYPZwxblLfOAPcHBbBCc54LgyTLjwqhDGCBFDQ9EZqo4+UQREJ2n7iUUUle/8BcEFl0/i9XNsjecl9phMRITwVX/q/18pd/1149OxDMeCPwhL1/hYdJrBwoU2M5YWIpobGRXKE9ZdGMjBWAEmO21NkbADPPGHDl58IsYfb3ovO+78r0m+x+TjDYk9xkxg5rlYqz5NfPMPEBGOHEiSiKeP0HQDLrpqIIxRF1hxToBFi8uxoj34A9kV8tIQDfEVouLpoYpZTqCv9xxtOScZ6cZJJvqlL1/7+VcpWXA6lasuGOO9ph6vh/XIibyzvoox/xoAEvHM4ueZ5rTKycMwFIGgNnZjBSRvJoxYbkWj4Ko/kP/2u9FnXpyqq+SMae3VN+yydjzC7nt/Oea2nQg8g/XImcINv4JwDaWVWkbvcXH5sI+VbuBf/vfjEJrSCK35LEbl2qzSmUb1epTup+fBG7APPz4k+GLUq2vgDwx9ADWSB+0kYDLEsP5ORHaKyDYR+c6g7V9MqdftEpENE72Px8lF8bsfp3DBamYvMNB01550HUwfLFvrH6iCLya+edcQWP4hgms/7yaR6/5UTzgait5nv0yy4VkwQm6YIQAa6EEC6/+JwJrP0X3fu1HJbsazQJtMDJxjBMLMu+IDOV9jKpnQHFZELsIVvlqhlIqLSEVq+1LgemAZUAM8KiJ1Sg33pXtMV7RQBSXXPcGS+ApmzK2npcnG54fKWQaGISmnlBvDq5RD9/1/hTl3A4XXPkLy8F+w2t8gsf03o9xFQbIHEPTyFZizLsJu24lRcw7Jw08Re+W7bl7faMNfzZfe8xoh2nprEGMXpunHTsaoe+fHqVl/4jzFY2GiTqePA/+ulIoDKKWaU9uvBm5Lbd8vInuAM4DnJ3g/j5OMwNIbUD3fSNPbGVz7KbnHFZZO1j8MgFFzFnrVWTncRWG3vE7hOx9CdJPIS/+G1fA02Oke6nQE8Rdg1r4d1duA3bIVzDCBFR9n0dIbmPnX9XQ37KVo3vJJEas63kzUYOuA80Tkm0AM+JxS6mVcpboXBh2XVb1ORD6CqyHL7NmzJ9gcj6kmuOYzRF/9ISrentGZJOL2tu4+d/hpHXkO68gLaceOiO6nLwYytuN/xmisAAplxfDPuRhf7RVpe/Oq55JXPTe3tpxARjVYEXkUqMqw68up80uAM4F1wB0iMi+XBiilfgb8DNzAiVzO9TjxiAjFN+6i9aczEXJx2OTggBIDc8b5dN11GXbkGKp3qEyTUoqWJpuudodwgUZFjT5U9MpOYHdOTvHwE82oBquUuiTbPhH5OHC3cj0ML4mIA5SRg3qdx/RH002Cl/yWnvuvx0j5koarBEwII0Ty4ONZ56qODQf3WBxrtNF1CASFMy8JYvpS99UM19N8CjBRL/EfgIsARKQO8AEtwJ+A60XELyK1wELgpQney+MkJq9uA22Bd7HrtQSJmMJxVJpe6rhJdo/oWNL0VAKCAtuCSK+bYA+AEcKcdRFG1RmT05YTzEQN9lfAPBHZCtwG3KBctgF3ANuBB4FPeB7iU5+lH/sFi274Hk/8KTpgMJPCyIZv2xCLDhyjHGg+ojDnvpW8i28h//LfTLyXP0mYkNNJKZUA/jrLvm8C35zI9T2mH2XnfJyyZbfReOgl5i+d+PWspGL7xjiJBCxf6yMQGtrHKOUaaGP90KLfefPPo+CK3028AScZXqSTx6Rz1hd+hkUxne0y8WGxQE+3oqXR5oXHYqhULSelFJalaG8zeekvQ8MhdX/ohKW/HW88g/WYdApmL+KaO/dirPsOjpYPkj2qqS/rJxO2pehsc+hqcz3KyYSi5aiNZSn27Ujy6F0R9h9dyhlfuYfCOUsQTSdcNYezvvRLqta85Xg82gnHy4f1OK6oZC/x3Xdjte1EdB/JY69hN2+CZC+drRb1e+IsX+sfsgyjFMQiDof2WhzYlexPMNB0mL3AINqrOHrYRg+EOO9ffseMs9LXV6cbnqCzx0mBmGECS9+ftn3vn3/NK3+4GStm41hxlq31u0tCCozaK9j0+1fpPrxn+MVobq8kcqyBQHEFKz7yjVPCWHPBM1iPE4LuD9KX6tN0yKbpUATdAIWP6x76NWfPe5XHPnM5Sjko20JE4/Qbv8rS930Wx0oiunHKeH5zwTNYjxPCjLOvTCsfqjQ/sy94J5phUrZkHdfcsZuDT95NMtLFjLOuoHDOYsBVrXuz4hmsxwnBDOVx8fcf5Jmv/RXRlkaUcpix/q2s/+yP+o/xF5Sw8KoPn8BWnnx4ButxwihdvIarfr+D6LEGjGDecZVpPFXwDNbjhCIihCpmnuhmTBu8dVgPj2mEZ7AeHtMIz2A9PKYRnsF6eEwjPIP18JhGnFSxxCJyDKg/Dpcuw02sP5nw2jQ23ixtmqOUKh/toJPKYI8XIvLKWAKrpxKvTWPDa9NQvCGxh8c0wjNYD49pxJvFYH92ohuQAa9NY8Nr0yDeFHNYD49ThTdLD+vhcUpwyhqsiPyLiDSIyKupnysG7Tshynoi8t2U0t/rInKPiBSlts8Vkeigtv5kqtqUuv/lqddij4h8YSrvPagNs0TkCRHZnlJC/FRqe9b3cYradUBEtqTu/UpqW4mIPCIiu1O/i6esQX0qY6faD/AvuFo/w7cvBV4D/EAtsBfQp6hNlwFG6u9vA99O/T0X2HqCXic99RrMwy0E/xqw9AS0oxpYnfo7H3gj9V5lfB+nsF0HgLJh274DfCH19xf63sep+Dlle9gR6FfWU0rtB/qU9Y47SqmHlVJ9BXRfwJUwOdGcAexRSu1Tbp3p23BfoylFKdWolNqU+rsb2EEWAbWTgKuBPq3M3wDXTNWNT3WD/WRq+PmrQcOWGcChQcdkVdY7znwIeGDQ/7UisllEnhKR86awHSfL69GPiMwFVgEvpjZleh+nCgU8LCIbU0qLAJVKqT5FriZgynQqp7XBisijIrI1w8/VwI+B+cBKoBH4PydBm/qO+TJgAX2l6RuB2UqpVcDNwO9FpGAq2nuyISJ5wF3Ap5VSXZyg93EQ5yqlVgNvBT4hIucP3qnccfGULbVM64oTagRlvcGIyM+B+1L/HldlvdHaJCIfBN4GXJx6s1Gu8HWfKPZGEdmLq707FUWaTxqlQRExcY31d0qpuwGUUkcH7R/8Pk4JSqmG1O9mEbkHdwpxVESqlVKNIlINNI94kUlkWvewI5F6Ift4B7A19fcJU9YTkcuBfwCuUkpFBm0vFxE99fe8VJv2TUWbgJeBhSJSKyI+4Hrc12hKEbdm6S+BHUqp7w/anu19nIo2hUUkv+9vXKfhVtzX54bUYTcAf5yqNk3rHnYUviMiK3GHKweAjwIopbaJSJ+ynsXUKuv9ENc7/Uiqpu4LSqmPAecDXxeRJK7S8ceUUm1T0SCllCUinwQewvUY/0q56oNTzTnA+4EtIvJqatuXgPdmeh+niErgntR7ZQC/V0o9KCIv44qX/w1udtl7pqpBXqSTh8c04pQdEnt4nIp4BuvhMY3wDNbDYxrhGayHxzTCM1gPj2mEZ7AeHtMIz2A9PKYRnsF6eEwj/j/3/EvRdwq7/wAAAABJRU5ErkJggg==\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "a = 2; b = 0.5; gap angle = 0° :\n", "\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "a = 2; b = 0.5; gap angle = 360° :\n", "\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "a = 2; b = 0.5; gap angle = 45° :\n", "\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "a = 2; b = 0.5; gap angle = 270° :\n", "\n" ] }, { "data": { "image/png": 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QBms60AXuPfSES4I2CNaD/QYjZMQpLaAC1BjBtmdAsMOo0QThq0ySxgFARFA71iN8YoM6Eaou+gBsuxURSG/ZS3bzPWRevIHE8R8etbEcKhgJIXWAk4GPq+ozInI9/VRbVVWR/nQSAxG5DrgOYNq0aSMwnHx4+1fTfvffou0bMcajTXTWZThTL0ILFOWKjq9G+ntJNQs7vodduYTad/4Vd9tT+PsfxGmox5k0GxE7JJBPgboTEdkB3stABOy5oXpZACLgzAcKpHw5bwPvIaCV4qppAMSAHGCZlc5eCN7TDIxnKvjPmBXaOcOEVrSYs+y4MEc1bRxR3qPkTxgFbMYRRP/VUUSwa5tgbyX4GSqmN0KgZF74wREhpMMm2IvIRGCJqs4I35+NEdI5wHmqulNEmoBHVLVkAuJIEew18Ekv+zaZlT9Gsy2FT7KixoniZ0x6leUgYlNz1mKszAvFG7crYPb7EFsY3K4TwALnbLAKFIrWFGiXEZj+nF1VE5f0N4G2AsW8tjY4bwGp6rXdcn/BbMlT7PzFhqDg3kMv66gbFr1OKe1zj4XutRYziQiGtVROCOjAoBrA2p8b/wHgZ3K0Ld9G/XXbD9tyoQetpKeq7hKRrSIyX1XXYCrYrwpf7wW+zihXsA+y7bhbHjDFtKa/kfTSb5F5+edGJe2GJcSnjCNIZcnt6+j5scOboPKCHxKdfpFh/Wz4VJgGVrAz2LfEOHoGRUit856ByOQ+DpAg9MJuo8c2tE4OV1UzHrwnw+PdXN6+gtMXFtAJUt3nowaj4hYd1l6w6iByqVldg03hgTiGfVROPFQg8pbeewpawbuboZIdyofmlSO1YhHEUjIrf0zixI+NUp+HBkaKcfRx4LciEgU2YDYRtoA/isgHgc3AVSPUVx7cbY/Rfve7zaoIEPiGpRMMnNWdyjhOUx3xKeNoX7kZgvCBt6NYsWrEjkHlieiUz8CO74JfgA3kJKH++CGOMm1U5rCwF/5LoeOl28YDguchaABrnFlB8wQUSrKCqDWC3S0w9nEQbO53fTfErLpgDD7nDNBTzblu99xaDpr6TDoZcx/2G8G/v8RYhwFVo4L7vRNv7cKZdKz96ZiQlgNVfQEotGxfOBLtF+3Xd2m/972Dkth7zs95WI6xH+NNdWS27+9uCIn2rkRSvxitvRBevJABD/qki/rVFCoT3v1GIKwG48QZsFr54K8zQhrsHthvQdhAFLxbzd/WPLBPMl7cyFvBfRyjJncLjQVUgfTz4YkTJpmXK6AAuyB3I71eYsf8L3NAN5Y5/iFAPWOaJKdBohHJtaHt66mcGZDbeE9vUe/XIQ5rxlFuwx2QK6HW9YWCU2O8kmJbROrCcITYWJVTsMcdG57ngv8qEqyEKf24olYEEuMLkAsAbJAmIFpkAO3gPQBBie0ddZMh0we7BrmZapCpmJ+ve2XxIVgL/rLwviogcjHYZ2BsxyRYR5nPCoUt/ALk/pLoVmu7HVSu+Vs3YOzT/rAZSMCwgHGD9qSqsP8VmPZWmHwxNCyCiecis98NkQTpp/4Or3X9EMd/+OCwJtinlvxneSdaQnxSfU8hZ1UIsj6IQ+IN7yax4HTE+z1ma9XwYcNHqqLo9HfDnr9CtgXi4yg6r1kngHMMuM+Cri0yEB/8FSYMEqwsfNy7FxisaLRHz8rV//rgVXDbjVPKmgTWMeA44epcQVFVtKind6jw6Z04+n8+oFNg8H5FBB13HBD0EjzsKCo20ngqvLSOtj+cRfVbbiIy5dwDH/ohisNWSIOuXQSd2wY9TyI2lUdPIVKVhMqpYMWQVDOx039C7NwIwjJ6C3T1Fw4PqaiFGf9v8AFZISHBngbeBoqqe9puaHnBqgLnBAXGUAgp0M0U5dt2h6eDDrO6AkZIbAhehMibe4kN3ZDxoaD2bzNCXgGzsmBTnvNpCLarWAOqP4hlQ9UMvHYzKXQ8cB1173vldUdwOGyF1N291DiISiA2ZSKJ0z6I2DlINBhHiVggEcSJgP8qw8ns6EXUrIyywNh71rQwa6TAQyjd45gYOofyDha+piDK8aIWWGkJwHseIufkH7KPhmAdA8MoQ7UtbaAR2DnYiUNC/0JmGvjQvpZg3yskpjWQ2dWKppvJvnor8XlvH9G+X2scljZpesUP6XygdBDbTsapmF6L1fECVtVUxEkYsrrlIKKh7VZmqtigyEGwBty7ANc4iOyLMESD7q/YAiLgnBgO8DgG0vpKxfsKrQ5CTyy2bPJ7GH/ti6DZqMkFH4cD8dS6RdoaHnoEVH3YfBvsehwrt5P45HpqT5qJXREjteQ/Rrzf1xqHnZAG6WZST/9Hnis+D5YgjkVyXpN5rLu2lCgKXc3IfQUBkAM/LAhmT4DIFWCdBDIFrKMhcllvPNMaB84bzYpKwjiCIm/G7L3cHyGndwBCogTjGJowJXr/9J4F70HwVzK8Sat7EvExduZoxUuBjo3GRxCWZBHLAtsiMWM82rn1dVdk+7BSd1Mv/oz04/9c+KBArLEWp6aCaH1lbwKxdv/TfyUKhYo4JnNkJOAbz6zOwnh7I+AcDRQpS2k1gHVR/meRc8FbEoYxFKg0gqjt4C+hVz3v9iZXAfspLBSFbEM7LEQGBPuKhIOGAivsu399pG444fsKjL09AsKb2mm88H3gp3O4rcae73rmG1Se8cXh93OI4LAR0uyGu4sLKABitjKI919xFLwMRAqRwotQBoeFbeDejOHSzgH7lF6iRTkQCyJngJ6GKV/SHc4YZ5w9/itADqwZYM2E4BWKrqJyolnR/eWGZUTCqNvWVHNcdxe/Ng/dgjigAzNRDJYR4yw21Eb/mSLtDBHR2jC2a1bSzK5WUht395BTsi98F9Sj8szXh+p7WAhp4OXovO+a0idZUmAPTTEOIydR8JLRQ0gHDNaRZ4cOBWIxQBW3xptXHhIUFiILRMN4aR9OiXaEK/V+jApdTAC7mznd3E/wDAUpiVaTKZZWdMILzAQhU0r3MxTUzDeF2Hwf9f08Ae1GdsX3SZ762YLbeBxuOCxs0s4HPsSAotL9EUnCjHdD3bGmIHN8Akx9C0y7fARc8hGME0hAGo2dWRb8PiGQYUBdY+v6rxi1ty+sqRSu1BBAsALc2yHoZlZ1mBS4YL0RUt1Fae+tY6rnO3OMVjDAOeWD/zw94Z2CCCBIgffXcu60LIgdhZlXQs08vIxVhFwC2Y33jVifryUO+ZU06NqFu/HOQc+zK2uxkvWQPAcmjkTPodosU8E5qZd3qxnQtEk/8x8po50DoMcFmfCh7lt4y8akmy0H6zhwQoaUOBBZDO4STNpuX4S2pvdISKBoZmgxTzUhIzApcJoF3dJ/sJgE9BKPkqYonXI3dEikEiZdiF11EvpiIVKL0PXkvxKbfdlhX6/3kF9Js+tuL+Mswa4dEcnsg5D8rrswdLfA5Gm6t4J3H/hPgByLEZ5BvsbcneBvLr9r7w7yBRR6Ypz4hpCgfXI6pTKk+hXTGFLmmgFCXAoC9iKQcLLSPYPYnqUmoyIx4xGAXVVPZNL8nh3NARAhUl+FuHtJdW/hcRjjkBdSU85yEHXVdkic8MYR7tgLX13GhvNXhyldQe8xXQ3OBeZhtk8EmYcR2r6rSgC0gv84eCXyVNUDf2O4Ig6Wl+mDv6PPtV1DcAKVizqw5/S+9Z5l6F5gAZooPq5Sv2v5JkrVhR8gfsxZSDSGRGzik+qoPGoy8amNZJb8+2G/QfEhL6SRGYtNgnYJxKfUYVuDFJkeDnRXGOwvkLkSbDHVF+xjIXJqGAudU6gVCF4yqXQD2u8ytqP/DOi6gccLtrW6107XLCP/U7b1aT9gYHJ4OUiEDrBi3ufpRa6LFL+mUDNOhIpFl1J35snUnTqXihmNiCiRRrM/TmbNTUMa9aGGQ15InfqjqDj9i5SaWbPb98LuJ0z2/qihSNv9qYnaWYJgT6g+94P3HIZIMBT7tcPU2fWW0eulHUlIGLYJ/yZW6uQiyICWYEINsG+7MTSusKoPu5dAro+HWWyciccSn38i2VU3Dqm9Qw2HvJACRGcsptTMql5gsvbLqfTeg5CmVzbCOkIDOl9nypB4q8LqBI9QMtTgv8yAndP0QHmuaUNH9O42jp28dDABpjKsWrn+BsjdYTJz5EDaCihexqX7+Agg1wntr9B77xZYMag7gYoTziPIjiyP+GDjkPfuAviDFUS2xKhV9lBme8XkWZZDYVPMKhfHCGv/Lez3mZBGUMLm7MFe8J81/N4eRBmY3iVhfxGMqlmqGJkLwR6ght54pQLbQeaHGTNZk+liHxWGcgazYYMwNzQIT2vBuM0zGG9uuat+MSEdSjJBaUisBp35Tti33GxaXDEJ6k9AnDgqDrHG17RQ5bAxYkIqJo9oKbBdVS8VkZnATRhi6TLg6rAm75BhNxxb+njdRJh2xcCNbEtCMZVIu72z5czqbvjQF0qQ7lu0qxQC44DSN9BdsR2ZB7qi33m2qUEkMXAfBS2+F40hze/CCHrfMQSgOyDaL9VO28AfWKm/p19iDKx1FAA7GKq9aNDteQ76vI/Rm7s7fEi0Gpp6c0lVlezmlWRfvBtkPN6+VTjjjhmRvg42RlLd/SSmcn03vgF8R1XnYKbhDx5ow3ZFY1HnUXTWQmou+yeINxxg6wHI0WCfyuBzVgR0JCoA9BfoQnmxDj2xWucckFmDtFksh7PASiYTKfzTN5iJwSq1WfCBCJaGTqIoPQJqHxeGsEYHnY/eSOeDP8PdtQN35wra/nAW6Zd/M2r9jSZGai+YKcBbgJ+G7wW4ALglPOVXwBXD6aPykt8P/NCOUHn2OxEnOgxWkYKuAn8ppVU4G2hgZGZ+DZk/O0NHU2uBc7xex42I4fNG3ma4wHm2oYTvi429gHZhjevDIBJ6JgTnWOOICl4o0d4BQnP0llrJGKaS7mQ03CJ+2x5y656j/544qUc/ie+NXtnR0cJIfUPfBT5Drz4zDmhV7fGQbKNwDlbZiE07H2d2fjKvXTthhDy6Sml1N2JYPiKMlHpmah49Qs/WggNQoC9JmuTsyGVhJfpaQ7KXGopXdCjiHHMWgfMmE9+1F4F9DniPhYnoRdIAi8LGZOOUwnby78cH9jAaKW0aBGAV1ooyy7494v2NNoYtpCJyKbBHVZcd4PXXichSEVna3FyiSBdQdc5/Ga9diCDVZjZIGhXYhhLnvB0iV5lVRuoY2Zk/AH8rxkFUADLehHi8l4yXNXeXqShIEpzTIXop2AuMjVkM0p+Q3wdWvblekuA/xIELTBCqrodGsMCubSR5zrsLHsss/9+DPJrhYyS+1TOBt4rIJoyj6ALMLmu1ItItQVMwU+kAqOoNqrpQVReOH1/igQKsRANWZe+OZZruoPXP36L19v8m/dLDqO+NILskAPtiQzDvqWfbzSjqB5kLVA78fFAokALnPIwjJdL7cs4zjiXvsZDS1w60GLXc7+NF1jTFf0Yb7EFqBGtg+ijqDAorDQ72qOgaRjXRewgQsYjNPBGJFsh+CjLktj588Ac1DAxbSFX1c6o6Jdxm4l3AX1X1PcDDwDvC00asgr1Vnc9SCVp24u/dSuq5O+m4/4aR6CKEGq6u9lUjXQo+zLrBVF4YYCv2TTcrZDPbJv5o1UHk7cZB5JwNkXeANcGskN3c4R54Joe0O+lZ6ima6+ksNm2XvM2WItd3ox3ssymtzoaTzaEEsZBY4Y2l0ocZn3c09ZPPAp8SkXUYG/VnI9FoxelfKnzAd3F3b8DfW4zFciDYaOh63kqT/eLeTVGHioipAigTgRojtM7bzWf2SWH92xp608ocoz5382MlzM20JvWGZrSdoj+RhkIhUWMvDxjP0WUIaFu4ipZyEgXgP03eNhYFMVL1ooaKwg5DsSzix56PRI0pYVWPh7jRdrwtDxCkSm0teWhhRA06VX0Esw8pqroBOHUk2weIjD8eZ9ZleBv+UvC417ILZ3wxTuiBQE0lwKCVknQ1iYM10bzy0BS+AGu6ySTRNrMCSp+tGgq2WU9hR5VvUtmc001/hWKougb0WCPE2gHectBmkCqz56iMB/cByhOuttJ272uGeuPt9tcA+ZOzqpJYcA6JBefgZ1N0PPBT6Op10nU89HFqLvsVL8shAAAgAElEQVTDQR7vgeHQsPSHiOqLf25YRgXg1BfYZXtEUGqF9kEmG7qfttG//k4PxDJJ2vax4Yo5SNhIkmE930JzaZfxDgctRTzEAsEOY7O6d4eCnDYpZ95fwzIsh2vBrqhR5Z2Lw9DZQHdH35Cc5USpedN12HVNPZ95Wx9A/cMjHHNYCqlYNtGm+f0/JNI0F7t2An7HflOXFQ5SmpJtavi6txger3tLuHKNQN/2QnDOojBvNgg3ZioCsfvUFu47Ft9k0RwQLa9Y5cLhwsRsS39l3cwlz/CJvZswPJnSYTGxHSQSJ3nGlXmfZ9ccHivpYcHdLYTE2T8md9N55o0lxCbUQO149v/mcyCCWA4VZ76D2KxTDs6AguXkPSzBy8bpZJ9iah1piym9Ys9mwF6kYFZf/5UwTllhQiNWg1ltZQqFGUVhbqs0hcSAvg4gC2RSmGJXyDE01Fhoz0Axxa+3M5iQ9y1mXRoW2KfTurmdpf9zJXtf3UG8torjr7mcWRef2ee8CMZ+PjAvsjMuf49YHVJCxmuHw3IlBXDqjyc2axF2MkbdqXOxK6JkVz0BvgteDs2lyG1ayWhVBMiHRcHZXDeBd5vJI9UtRpDduweqw+qDe2943j6jmnoPGEZSTxfdGzT1hW2q5Ttnmgmgp0h2JdgXhiVAi2WAHGhJEQecWWC/nUKru6qigY+2vQplqZMWWAvIdFRy/99fwO6XNuFnc3Tt3sez/3sjGx9a0ufc3q0iNfDQlpdNmlqZCNL5Ocd+x7bDIiH8sF1JAZLHvxV/RwtYQmZHC/gekfpKInWVqK8kTr+8aJGqkUWU4k6lvrO+D6SMCur0IXsH2zCMoX6MHG8pRC8zb+2TwxpFKXomHmuucQCJQOQi44HGA5Jmm4tgCwMnqXBXbpkL+gqDqYr5sEJn19QwsyZ/ldR0M+x/wRSvVg8mnI3WHtNvJ+4+6WQIUA32Ajbe/wMCN1+o/WyOF39zBzMvPA03nUX9LNHKkMyyZwl0boba8kjz6uVILb0r77PsSz/Drp5O4tgPlP0NvBY4rIWUcZdj7bnRqFSBkpw/iWidKYytCrrlTzDtMqSi12FQvgo2FAwlRuibNDE92sRAtSXMSCkUBulTDUFihg6ou0z4xRo/MCwifZhLwQYKC2Dc7NBNFLzOUL0uU1Cts8GeEjq8OvOuU/Vhy5/J27x571KomolqFLGjaKCI3QDWyUArShVkqyFi07VlHX5uoCMr09LGvjWbeOw/fkCmpZ3KiQ0c/94rmNa01rDP1BtgPnT/xj2U0WwLwZ5n0ZY1SNQhNrEWOxbBbekks+KHY0I6mpDYFDQsz5GY3kB0XFWPAIoA6uGvuYVg3PlEpw2WcSFgXwG0g/8UQ7PZbEwMtJztAy2g2qizup+BTp2+6C+EYTHqslDkp5XqXmGOnG3sZvdRBhY+KzAWZ2qfdhrpJvarKpk9W8g1p9i9qgU7Kkw5rpZoRRp9+bf4L03HmjceOelKJHYaiIX34HJy3/46tLaA7VAftGI7Fn4/e9PL5rj377/S87596y6e/u+fw9UzmXZ8FQQeWP1Vd0X3r4KO9ZAytrMFxCfX4VSa709EiI6rwutIk9v8INHp/XYSOIRwWAspgEz4O3T3j4g2FA62WzGLtod+QdUbP0Rk8lHge6jfaWbg2Lg+6rBAsCR8+A7AqWKfZGrsFi0J0jNiUMHksg5iD9nl1vctdO1R4O0kf5W0zed5w0kawdVSQtpoCq7lXTcepIndKx7m6W/eQKq5xRDbBWxHWHrLVs7/6FwaJiXxbluJtjnYb64l9rkz8Fe+QO4r/waZ0HHj+0wgznhJ0Gyl8FEsBAehMVvBNrszT7P2szlW/mUz045fADsfRie/EaOKi7Hv970Ie5fkDVdVcSrjeVqU2BZOVYLOpz9EZPJq5KAXUS8Ph7+QTrwa2h5E02sLqrHq+uC7pJbdTVX9JHT9zdiRIFyVHHTqm5HEROje11N3GjUp1wbR2jJV4yhYjYbK595EafVRKW/be2FYcUxrYh+7sxvjQ09xP9hzwNvKQIE+JeQrFxqekG6byyP/egVepo+6r+C7Jl/2yV9s4NKrj0H3mJ3A/bvvQD/+Kbw/3AjZ/HsThNPcSTRbKZqtNBXqMMWv4mVnb0FSUbo99AF0boINf4DquSbk1LHeVGcoMN6C+9LZFk5llI7HPkv1BYcm+f6wF1IAqs+F9KtAvs2pfkB6q8ms8Zs34674P3B9una2oqrEJtQQC/4C894/MJsmWgPhRk89HkCZg1jzIHgSQ3gHqDIqqHcPaPfmRKVQbvhADRnBHizZG7N6BBvDUE8UnOPMCjmg8uAeU/TMigMVhgElEbAmom496EZTv1ZsSLdC9dSShTU3PfRHAr/4hJTt8Gj7XjsV3Z5k18VfsRxtaSkYQxaExiBJY9C7NURjkGSLtuOL9j2RxtmV5ndRhVwbsq90Elax+1A/IMi6uFtuhDEhHUVMeDey56cABBkXsS0C1yOzbT+5vb1u9/TGZoJMrmffkFQqi9eepXLyNqia0XOeiIXvutiRCNkNy0k99xeCrlYQi6o3/xPRiX3twg5DuxtxiKHwDQYNTLHuvuqqtwMTy+w/IQRosCbcBM0HfRL0eNj5C+hcGnZrm5cCNXth+pcKd5vLkb7nzwS5bFEJUA+cbB/vuiq5L30e50MfIXh5Za+6WwJNQZJ6TbA/4uF7Oeyohe0IJ5xfQ+uz61DPx4o5VMyeSLRu8Eyk/I2IFfUDss3mGcm88kfiR101aBsHG68LIRUrjhJDNYNEHNpXbDLC2A9Bqp/6GCi5vW34Xa04/eRh/6ubcbeuJrbjERN7BazKOpyaylHyEPeHber5DgbdXtCe1GAHtL0CThIqpyFi549bHKPWb/yi2euz50KfnjKlrQ+h6Q2AC3WLYfzfIGEZG/d7/8PEDXtYi+D31R7CXSYt22FiLk60fyzVc5GqKuSEk9HlSyFXOpYqCGe6U2j+wPvY17WLpPUwU2emyGzu3aQpyHp0vbqTyKI5g/4u3TuGqx/gd2RI79jXO2mv+PGYkI4qJv8D/savce+3VlOZVDKdHp2tAclqi/nHR6ltKFKkzBJye/ZjjfexbHOOl8my4he3MXviNmI1vQ9gxRvehsSSoyygtnHK2AtBCqda5cEvkSi/+ylje1sxdNa7BnpB/QzkWimugvuQDVXm3b+ErhUwy1Q28P78J2qzFnOtOtZGWnoIeyD4jsOMN76LBbc/XaBJH7q6sJom4S8rj0ggCo2/+gPT7n8CcV+l7dY3DdhFDeiZIAZtTwQVIdvchteWNjzwQKHtRQIvg+UUScJ/jXDYMo76QxouZ8vSvXTtz7FjfY79uwNyWWhpDnj2kQxt+4vYTn5A6tnbab7lelL7W2hetZ5Hvvg9cs9vonpVJc4LVUi7Ed7IpHlmV+lRg2VKmUQuAqu2zEuKpJC5HUbfDFzwuqB9HQMKeQdDKEKtWehcjmY2kLv5dz2On6ODBt6UncmJ7gRO0+lc8eEf8q77Wlg4/2KcaIGHXUEaJ+Dfeyd4Q+g/ncb7xQ1IcgHaPzSFcRAGufLqMqkqub3tRMdVUXf6POreMJeK2RPQICD19JfLH9NBwutnJQVa99XjewMr7wU+rF/lctr/qzc2avcsHM6gAkjrRlZ++XOsX+Uy361nnj8Fe62Y3OmXKsmd24JmOqFIIrEGLrSuMZ7FxASomX8AK66anNKhXCHTzT4zYvUwezRwYU/fVUyheRnUHIVq0Bt2srv3Ni2TzCAO/oN34H3/d3kfx3GYFlRDTvB/8ROC225Bd2w3q2ZfRCI4134E3bFt4LEy4N36R+wTTiYy5Uyyr9ya73yyBD+VxY5H8qh+fX8D9RWxxcRI6yqRiG2OixBrrMGKOHS+/AuSZ331IDHVysOhM5IRwIJP3F9U2+lqC3DbM1RMH2+og7VJknOaelLebFuYvSDC+WdUc7Q/DgcLQRAVxLeIPllLatl9aIHZX3Nd6Lrfwp6noPVl2PUYtK4eEi9UVdF0Dh3k4VX10bZH0W3/je7+DTTfDBtuhrbVaK4dTe2Ebfea0ERfSASssyDdbLi1bqcZb38esUSg8f2FVW11cW9+HDLF4sgKHR3o1i2FhbBpEtFrPoiMb2RIu593o7WF7D9/gtY7u7DiEfPbhS+nugJJJtFA6Vi9jdwfU9CmaEZRT9Gs4i9xCfb7xjbvFtDu27YsInVJxPIJOneUGMTBx+tqJY1X15EYN55Uv4JmojChrYbo72tIn9dC9UVTseNRNAjoWh9WUg/AStsk3EjBWtnqCst+8jRTvZnMvPD0XrU3CPA33ofldUL3Z+rB7ichMRHi9eUNXn3Y+WfwbkLn3IDEByauG0fPp6FrJQTpMKE7LOmy67HibUscGt6JRGeh8l7Y8QNofWDgTUoMZn4TqVqERptg+7eNmouaWk91l0DnMDYD3r4NbW/DPueCwhtXlYNclponVrKkOcfpf9OEuh5OZZxMzmL1ox0ce34Sb1sa5xGfzKNd2Cc5SK3gr/UJtvpY02xin6soouUI4lh0PfVFqt/08wO/zxHG60pIAc775n3c/f6Te97bKkSwmO/WI65N7N4GsnNbScxtwG1Ngd+9cxjYq5MEjTkj1f3X5EBo3uOy65u/ZN9/3c4CmUjk4x+ms+u/qDqqAUn2s7/Uhd2Pw/TLyxt4kINsyELa/m2Yfb1ZidProPV+SL1kBKVzRUikB0ptCGAljSBbMWh4JzS+BwCJNKBNfwdtDxe4XiFmyA4y7lI0PhP23W7aqXsTVJ+FfYGN9/vfgHsACdMi4ESQaBQaGmHXga9YmY0ud3xzHfVTKvDcgLZdWeYufjMSaTX5DorZIfK5fDvVPqXEIy8QHV9NdsvdBLl2rOhgJWMODoYtpCIyFfg1MAHz1dygqteLSD3wB2AGsAm4SrVokdkRQ92sBcTUJovP1KCK2iDOdL+aCN32mhKsVtxkiq41u3qLqiv4x3eYRbXKw27NT2wW4OLcTCwEGwtiDtYpFyC//Ro6PkAr+odlBKKFnT95arCG6Vfb76eHCNG1Ek2vhY2fA/cANhuy4jD9K1B5EogzYPsNiU5Aq94AHc/0CqpEoWoREu21iSW5AJIL8q6NvO9a/CVPotu2mAlOgGgU2gffetI67UykwqjRzuK34P3uV4OGYAq2g5CN2agL+7YYtpMdq2DmpZ9BJu4kMfU/8CZ3YG9LIBrGRFEEwVpgl/QVxJrqcGqTpJZ/n8o3fH7IYxsNyHDz6USkCWhS1edFpAqz78sVwPuA/ar6dRH5F6BOVT9bqq2FCxfq0qVLhzUegE3/8UmefvD/eGt2Dv3JYOoE+JOy2NvMyqfVHrnz96HVofqlQFqI3z4RcYvbTfaHP47/0H3opnVY05TYPyaRWJ++xIFZVyHRWvrrzxp4sO1uiNQYgnjHxn6rWhQs26xg5UBiGPKDZVTtcW+DSZ8o+TBqkIVdP4X9d5ubrr8EJl6L9KlrXPzagOD55wi2bMY+egFYFpm/e7/x1hYTumQliTseQCoN4UBTKTIf/QC6aaOZqFSReUehzXtg1yAT01nnssTaxJ4VT2A5EXw3x3HXfJ5jrzaPV/pjHyJYms/d7X4OZJqFsziKfbKD9CnB47Z20fXqTgLXCznAUHvdHmx7GLvSDQIRWaaqCwc9b6STXkXkz8D3w9d5qrozFORHVHV+qWtHSkiDIGDzmbOpSjgkUrGe2RRALUVRrMAIoKJo0if79t29Gq4CGYv4LRORoMCDXpFEZs9FX+ytf2vNtXH+XxRroo26lcgJi5HEBMQ62oRT/OVABlUHtt8HHWuGfZ+AEdCpn4f4dMhug4qj81bDgwXd24x75+3onj1oVyfBvXfmn9DQSOLmv/SspGA0imD5UnTrFqyjF2DNO4r0VZehmzcV76imlsR9jyEitG9ZQ9fuLdTNPZF4ranZ7D23hNzfX1t6sFGwTnaIfcAQ6v1MjrblGwfEXiPz3kX1RT8s+zsYKsoV0hG1SUVkBnAS8AwwQbVn481dGHW40DXXAdcBTJs2bUTGYVkWk7//R9KffQ8a96F7RQwM28TS3hVSEMhaWM1RY4+aD8FSgikZ7C0FMiM8N09AAYJXfXLfMCufRjqRa9eTuHQuuu8H4HeCMw5i06D2fJOsPPy7hOg0aLoWqT3ffJQoQoY/GKitRVv24995O2QL0P062vDu+jORK/+mz2ft+EufJXhuCfLiCiJXvx/dOYidmkjg3fpHdMsmKo4/kapzL0CcXpKGd8MPBh9rDrxnXaxLIkQmOmR3txUkR7hrb0Iv/MFBYJeVxoitpCJSCTwKfFVVbxWRVlWt7XO8RVVLFoIdqZW0G82nH0MiELTOOA+k00Jcu6AKnLtgH0FTDhScFVU4L1WCLwPOLRfW8ZOJfTzX6+TphsSh4hjoev6A2u3TA8z+AVJ5wjDbGRlkv/AZ/PvvKXmOdcllxP/9awBoVxeZd78N3b/PqMi2DdEoMqEJ3bShvE5jMWT6TGLf/RHWOLOrXvo9b0fXldhpPYSLz46jU8z52ATSG3fh7i3Mv6446+skjr+uvPEMEeWupCO1q1oE+BPwW1W9Nfx4d6jmdtutB70asdU4weQmtkSwW6JYroMgaB+uqVqKN6eLYIJZRe1VSZwVVYhv9QiooviT0wSx8sMGmto5UEDBfNa1fHg3BkAAaaMy67470JcvR1ecg756LZo6cFXaX/kCuR9eT+63v0L37S3rGu3swH/w/sHP27Ce4BWTpufd9WeTDdNtw/o+pNOQTEI8Xl4cNZtF175C5i0XkDp3EanzTkXbyqsPLAgb1u9n09L9OJXF80hTz7/2mTEj4d0VTHX61arad8uqOzDbS3ydEdxmYihIfOFrpD72/h7Pbjf6Cl/2Tc1ovWumKwV/fhf2jjj2jvyQiuyJIhYE1S5We+kiXr4ERE4vVfayXO1FoOYiaHug8OHdP0NzzbD3FnpyT1Mvw/qPoUf9AYmMG7SHYPcu3B/9L8Hzz5kyqK2t4HkQieL95AfEvvcT7ONKr9ba3lbWPekrq8h88D3Y510IkUhBtVh37ST+qz+Q+8UNBPfeVaCVQg1rb0ZNenBnm09Ai2RolSyBr0TGV5PeVGQNSe3Az+zHLjfePQoYqQ2brgYuEJEXwtclGOF8o4i8ClwUvj+oqFh4OmnLJyjyAAWTskYV7p6qwt0f3FMHzsaWayNZG+m081bibihKQIBPwFanHVk0Al5Bqwam/StECiRqA/gdsPe3DEgOVw/231nwkrzT2tvIXHMV/v13o7t3QXMzuG6Yo5mFdJrcf36h+PWq+CtfwLv/XuONLgeeh//gffirXobYQE+yNWsO1oxZxL74Vagpk788RGTxeTayA1uEjUv3AUJy3qSi5Pz2O95e+MBBwrBXUlV9guK5BxcOt/3hov4/r8f9/KdxsLD6DTOod8EuIHDV+QHwvnapBNYAIVUgS8CKyG72Wxky4hF5Ps7s0xuG53SwI/DKe8DdPbTrNAfu4Kqqd9cdZuUpQUXULZvRTAaJ52sWqkrui5/Ff+wRI9j2EOf7zRsNQ8u2Tf+WBZEo1rz5uD/7MfbZ5xH93L+T+/fPFXZEDQMVRLgoN5Ptdgex6ii5X2Zw4hEqT5mGX5PG68rk2ajB3hX5nOeDjNcVd7cQkhdewh662C1dKIqLb8IuKNLqgFdAiDp7V4VCq2Z/Z5IA7bbLDruTjHjEKh1mLBo3RAEtcK7bDO52hrzrtpWA6tMGPS3YtGFwAYjFDVmh/7XPPIX/+COGx+t7xra0LKisNK+p06BqkKT1ICxjM2sO1sI3AODdfBPuT39E5kNXE6xbS/yXN2Fd9rZB72WoiGEzy69l0rMVsNTHe8LF+4GH+2C6oBPJ3fboiI+hXLzuhRSg9qQziWHj4rHPSodph4K1L2KWwb5yqOC8WIlaASphIWZLCepctITjqCE+jnOCmcyVRqYcPe4AZt3huvnD/qwEVJ0KVacPeoV94smQKFF8KxLBec81BdPz/KefGGj/BQGIRcVDT1Nxy10kHngS56OfZLA9b+yzzjWZMdmMUbODALIZvF//HOJxrIbx4Iw8g1VRRM2zIAjiCc4zVeDJgOSI1DNfHfH+y8XrjrtbCI0//h1rTpvOTruTo/xxWAhqKdlL9oKj4Ar2pgTSZROMz4EH2Yv3gh1S+Gp9I8i2Ym1KEH2yLo8gAWB1dTGOCPXRRpzaaix7KEXEelOmDxwCiWNg0kcheVJZq7h90WLk978x5IFCmS2ui3fvXdjHnYh92pl5hzQSCZk5+Q+z1NT0/i1C5JoP4q9ZjT5UxPvrebBzB7pr18BjlpD93KfQNasL1kQaLgqG1yyQNge/JkcmHZCsMhOU37wC9V3EPtDK/weOI2IlBaj8+vfYb6V7Sn0EUzMQC5CUTfzWCUSercFZWUX00XqcjUli9zdgb4nDOA8iClEFG4Lpabzjitc0klwO55zMoBum5cOGSP8tE4cKHzLrIHl82Wq2RCLEf/Ibov/0L9BYpP9tW8l+5h/wn+zNstGW/fi33zJQcKJRnPfls31EhPhXv0XkHz9jPLr9kUhgn3dBYZs2k0FfGR0BLQpP0KTRmJY/kSHoJjmIhd+2/uCNow+OGCGdfN5biZ6wiI3Sik9AUOmBpUSerYGs1RMXFc98JRJYaKTAw+GAN69r4OfdELBqhroqeqHtOQiqLwIpUWxLPXCHlsMgsRgyZx7sK1GGJZsh98Pre966f/4TZAdydGX8BJxLrxj4uQiRd11N/I4HkKZJUFFhHEaJBNai07AvuBh78aXms4E3NaT7GSryYubdf++M8PKyHJ3tyr5d3ZxuxUo0jOpYiuGIEVKAEz/9XTrsrLFH90QhEKzdsQKOIMGvyRlVuBBKfWsKQfMoPVjtD4KWmCBQWPM3aNfKITXr/eFGYweWarkP6V03rDO2Y/9zspmSq7hVP474zXcS/bevEPnIJ4h+9VtYp5xK7r+/iv/gfYOOoXjDB/4Y9/2lupP8ebyGHZuMs27LpgC7OgHqkXruGwfcz3BwRNik3Ug2TOEkf6KxSZuj2NviaCwYkO2iVoA/O4XfkBk4kQdgr0/0zrphmluOgB12BwpMvilKzccTyAFu0VcapSYAhSAFmz6PHnNHQedV1+4trL/n12Rb9zLlrMuYeMoFaGtraZVSBGvBcT1vrZMX4T/6cL4dKxbWIKQHMCq2c+HFBFu3kPnAu02tpOGGWLq9xCOkFsfVQRRUoHmbS/UxU2l/cTPZl35G/OirccYfPyL9lIsjaiWNVtViaXdNOyHyWB04AWr1+3EDwdobgfo+6Wvdr11RIi/U9HgEEcWb38XW2bt50WnmRaeZe199mS3LBttbZRQRpCG7acDHe1Y8wZ3XnMDLN36Dtbf9iMf+9Uqe/dZHcd64GOKlt1iw+jiOnMWXIpMn914TjUIySfRj/1j2EHPf/SZ0tI9cDNR2yl9RExWF7eMQGTx6/IIKiBCfZBhHqaXfGt44DwBHlJAC+JFIzyooCFZrFAny+byC4B2V6t3us9v5GkB0RRXi55Mb7K1xJp2mVI0XAlEClCW/24CbPcASIUNCAfVSfTSwe3cVC7Hkmx/Gy6R6thj0Ml1sfOD3dMybibXwVBMTteyBIRNVvP/7Hv6Sp0yP8Tjxn/+eyD/8M/aFF+Nc80ESf7wDa+o0tLWF3Le/Tvqqy8h84sP4LxROJAiWLxs5h5Btm3Is5ajL3XavZQj9AYrXvedp+PdKp9c+t6OCWKasCoDX2n9XgNHHESekke/8uODnAzJjGnMDn38LkynTH46CBdPn9s7Ovqfs21TKfiw8irJ/EolAxXEm/a3PNW5rhtZl62n51UJafjab9IofAeBl03Tu2FiwqeZVS4h+9gthLFILC08mg/uLG3q7j8eJvO1Kol/9Fs65FxJs2kjQ1kLmmnfi/emP6OZNBM88Rfbj15H5x48aAvxZJ5P9/KfRtlakYYScMN1pauXas74P6VQYk83h4rPG3sd+SbPL6uKp6HZ2OJ3mXAuOe3MTqc3NdK42jj1teYXOv37ioG4+fETZpACJRW9gT0xIZnWgYKIQUVPbK2tBRf9qZEC6n/1qB3hHdyFWP2KOQuAP9Yfsz6woBNtkiNScDw1Xwo7/7bkmyAV0vLLNMIAAzbWReuarWIkGonPejhOvwE3lh4/EdkhOnIb3u1/Tnm3jVauZTifHeL+COX5dXgX6YOd2st/6Gv5fbgffQ447AVpbTA6oZffWPepbUTGXJXjq8Z63/qN/JbN1M861H8P9zy+UtdVEUcQTUF0DewrEWMvEWqeFDXYra8V4xSX0MUQqLBZc3MSsYxOkXs2vFJF95UacpjcQP/o9Bz72IeCIW0kBol/6r/ytEUJo0je83YjirKgCt48QB4Av+JMyBJEAtYMeAfXnd+F5yo4t+ept7eRR2Epv+peR4x+FKf8EGz9lCpR1q++OEGvoF6LxUqSf/y5iWSz4289ix3srI4gTIVHXSNOii9m37FEesTew1W5nv5XhVaeFh6Obe1RBAHbvwr/598Zh5Lro80vRDesN86ir01ADB6tZ5Lno1s3Y06YT+bevINNmQDKJzDsKOfNcqBpC8a9ctqCXeSholUyexnT+5RUsfleSxe9rZMYcm9TGwrzp1NNfGla/Q8ERt5IC1F5wKU9O/zfmb09T4UVN0vf5+wkas2EpIsF+rgp7eRX+ye29dmlW0OlZdiW2YaVtko0YVdeH/bt9dmzymH5KHccunkSiOkI0MQr1capDB07LA+Gu2n1saUuITx1Hdndr3iV+hykYfsy7P020qo5VN/0PbmcbU868lBM//FUs2+bF1Lq8ncsCUbL4bLHbmOWXzNUfOiz7/7N33uFxlNf+/7zTtmnVmy3J3XK3KbYx1cY2xTRDaIFLEgIJlzQSQo7SmOYAACAASURBVOolySXtppL8CLnpvQAhocb0Ykw1tjHg3qus3lfbZ+b9/TFrSaudldaWDOTG3+fxY+3OzDvvzM6Zc95TvgfZ3oZ+zvloZy8l/omPYG/fAju29ZmvA+FJ8Tj1dzTZNvSEHIfREYZvbCRNShgNQf/2FPGojeFRSbaFSA7SE1rGcmkYPTL4txRSgKr//C+23vNRTtpUQ+LUDuxR/buDSaxTU+x3SYEIq8g8EwLOgxAsUnj+xTDBQoWCYgUhINIjmXdekNIKiaw7hFVeiF1VjKIcaWLDYFD7iMKSrTicuOlQNJcXgxkh2bAatXwemtdPsGoSRrCIiRfe0MsN1J3ILM+zhKRDDE9TucJM9oZrrBdXYm/f2pcHnK31hJQoFy3HfuSB9Kod8wiLD4CwSLLKOOAktfR+69i5Ha02eQVKTllbVrQN1Td0ze5w8W8rpGMXX0nDy/dgtW/EHh/LdBIJ0F4vQNsZAEWCgOQpnVgTo2i6oHa2TiwimTzLINWpACFs7Jjzs0frWjF7ogSnZakFPRoIR8vIZDuYnTgqvu+BlVJixRIOq7uUfUpWWsS338+bv7iLQ6ufwoqFQQjqXv4np3z+Z9ScdSmKS98WVQqK5NDsgTnB43F4hBSB/oWvIPKcChn7zXWOI2coJBII0zyq9hQDsV5rJI414Dd31Gkk7gdyoxkNrbiKwiufG/Z8hsK/rZAKIZj9sbvp/NUcXHtoSVAPeRy2wBRjoP5aIXZBElli9npys75xbUmyM4wZjaN6jdR+Ka/EYPDNTNGiuGiUwGxkdDfsuhnHu5X+wAoh0AJegjNqCO9pwg6ntKBQ6G7u4NBrT2LFUwIhJVY8wht338beZ+4j1plefyoQGEKnxipgUOiGE/4YQniU085EnXMi6sLFKKP7XlyieoxDl5KDA8l6ceWQ+wwFiaRViWapZ5Ds29SJoeh4fQoV1Sqqll2jWi1vEnnzbvwnfmrY8xoM/5aOo8MIlNfQ8nY2IROZd8cSqLsDDsWtELn1woylPK1SMvjt1iBwEih+XAUUoOrTUPcDsMNkY6+XUgOp9AkogOohLCal8cweRiIcomn9SqSZPp5UFBb9ehWB798NeUEn39YwoHYKVFRCYRHqFVfje/41mDQ0S6EyZiz6NR9ME1AAbdlFuafndh4dt/rA4dUhKo52bkyy+Y04q1ZEiPQMvtaNrvnOMQ/HHHNNKoQ4H7gLxzb7jZTyHadRGQyRcAFYnZl3IiEQ3Zm3RxyBtSVtiRrw9BPmQQ42aiCyxZ28DECvRHjHI6Nbs4+h5CGqPk9iw2OgNKDu9aNu1VELxlO6KOjahlTRNBRFxU6mrz11XwArEUdbuBj1qVXIfXsRRcWIFCtfuPkgrbs3ElyzCm0oMmtAvTAz8R5ARqNH3xfGbTwyQ2uHU+cPZ4mNo5h9WgjLzPaic6JYhkeQTA4hgFYMO96N6h3C4hgGjqmQCqe/wf8C5wB1wFohxKNSyi3H8rxHgtG3fIPY77+E9/SIk6yZ+jmNVVmIpyIKIqQig0M8WIqTSqYYOd7i5KGs2hEAOyW8WhEks5Bm2XEInkDeonPQ1xZjrX4UYnFoqsNz4C+cXDiZdWzHijtOGtXrZ/YN/83G330jcyjLpGiik6PaXbeLt37/Vdq2radg/DQ8eUUcfPlR/JqPRR2lyAximj5Y2IQWn0lQt+nP0yClJHRwB4mXXsCn6YjkEfQqzQKHZ0qmUkKcGZnY1Csh8qRBkfRieT2ceNO3kXWvs/fJPznkay5QVFiw1Ic+GJ9c70VGgH9RIQXmA7uklHsAhBD3AcuB94yQjjv/Ol584Oec9FAb1ugE0oL6hgStVhtTPcUEkh6w+97Car0PsVohsbQtY13jmD0CxasRmFiJUTRIWdlADGxBOBCeFHF4xY1Q930GamXbtLBCYUTHfjRdxXr0kfSYZSzK6HaDOR+6jT2vPoIeKGD6+z9D9ekX4yuu4PUffAzbNAGJounM/+xP0XwBQvV7eOLm07GiTvZUtLWvpG50xI+Cy/JO01DOWER9rIm1255EvPUA9ofupXTGKSz89j9I9HSy8ovL6anfh5ASXZqcKkaTLw2aCdOuxkgImyLbS40dzJn7OCxMXtIPMtMspdLOw8Jmj9rJdq29d5J5o8ZzxkmzOPiXz6MYXqxEtC98089lUFGtoqrk5J23Q/WogWPXNeBYC2kVcLDf5zrglP47HAsG+yPF1E9+j7c+fwkz2kp4KdxIRCSxVMkhpYcC6WFBogpv6lYJKTDHu3sjD5u1Mm6S7Og5MiFFJTuXkQ6jbnbOUXIxsv0JiPQx6McaOojsa3bWwDuWo/onofs0xMDEAt2gdv7F1Fz0QboPbKdwvNOMafw511A6bR77V/4DKSVjz76c/Bpnnbn+p1/oFdCB8KE5zasGIhDAvu021lw3s1drA7RsWs3au26lY9cGuvdv79ViJvCKUUeR5aFRjaRJ/Ra7lXMS49LP4xYX1XW2Ks3EhMk6I3sGkur188q3PpSReQVO3flh/5fHI3JuoRp64lqKPzxCbUNc8K47jqSUv5JSzpVSzi0rK3tX5lA2+3T2x8M8Jw8Q1hK9QX3bhg4RZ7M20PM5NOINna4OhexOhmwCqkDN7Yi8E/q+Kji9NxxjRuJE9jWDLZGWDWYUq2c7yRkuD2oywboHfsSKD8zm5Tuu45Frp7Hmx7dgJRM0vvkCTW+9SNf+bSR7nBhx6NBu6l7Lzn3bpERIDlzoKgrqvAUcePHhjBxgOxln//N/p/vA9gwz01QVGrVIxs2NKibPeQ5geXSHj8nrxfj+XSinnuF4hf0B8HhQlpxHg2fw0Inq9TPp4hsJNx3I2KaoMGGaRmGJIxJd7XbO7Boy2oKdyM7WMVwca016CKjp97k69d17CkIIPAGNeNhFUAS0KumaU9ntxxofhWOQUJR5fh3yB5CKFV8IzX8GyyTR2p3Zx8ROYE0wkWvyEYcvyesjdOIM9q5+GCsRw0o4a9zdT/yZlg2vEKrfgxWLOPHTlx7h9K/+idYtawb1vDYqYVqUCOW2HxUF4fOBz49+y+fgpX+4HmObCfcEfl2DuLvJH1EtDi5ZQO1J56OevhBRUIB25iLsHdux9+9FqZ2CMnY8BR99gfYd7lU3mjfAtGs+y8QLP8ybP/9yxnYhoKBEZeKMo4sL25EmFGMIdsSjxLHWpGuByUKI8UIIA3g/DrP9ew4Lv7sCv9s9lg5P6+GaU6lI1HYja5SkF4cTCgZg6EyWgQvdOGw+D7npYmTzXx3+V60QJv8GChaC6ndn41NsEme0YVUlsMcZGP/9bd6M7XQEsR/seISufVv7vpcSKx5l3U9uJd7dBjJ7CELz57Eu0E7jsjPRb7wZ47Yv43vwcZSKSsacdWnmvITrCtaZ7iAeGmlbNHTsR7vgkl6iMyklcuxY1KXnoYwdD0DFSYsQaqbeKZp8Alf8s4HZ138FDcG42YtR9XRh1A1BSfnRv3W77j2VRN0g3daHgWMqpFJKE/gk8BSwFbhfSrn5WJ7zaFE2+2yqJvoy64YFjJkvMaf2YJXFMaeEiV3ShHsGRB+0gAfp0qlraGR5UKw2aPg1NDhdw4SnGkbfgmf8ee5CKsAeGyOxtIX40mbk1ACK7q4l3EzwSEs9VadegKK5C4/q8XH+L1/h8kfrqL3jFxg3fQLt4ssQPieB319ezWm3/x7Nl4fuDzoZTdJ2FXrNH2TxDx+jZPopGdsAUBTyRo3r/Xho9RM8fHUtfzu/iAeWV7Nrxe8AqL30JlQj8xq9ReUIVSPx4v10/dc0an1rqfF7HO0vFEoqVU5Z4nWNI+cMaRF68oPHJGZ6zNekUsrHpZS1UsqJUsp3j7w0B4y+6Lv0KxJB08Djg+074mzztRI9twVzfldvDu9gsGLJIX/0jB9UHcqNn4DWB5F23EkN3HE9auJVApMrEaqSnZlA2pgtG5iw4EQ8eZ40ZaboHlQXLeYtLKXqtAupOu2CzPEUjeozlxOsmkTHrg00vf1SyjOcjjELL+OKRw6x+IePce7dz2e9qjkf/Sal0+Zx7k9XMuqU8zK2q4aXqVd8EoCOXRt46WvXEmk6gLRt4l2trLv7NupefYy8UeM5+ZYfM9Dj0/z2y2z59WcIvfUxrAndUBVl6hKbcxYGWV50FqddfyU+/wis/BLd2OGjL5vLhnfdcfReQtWSjzJhZgDDA5NmaNgS4lEId0v2bE2yZmWsV7CkLQd9a8qkRXh3E9KyM/aTMnVs/++NsTD6swztlpJghaHt4VTs1MZTmk/h/MnkzxoDuouKt00ir3yVwq7fsWiZypJL/Uya5Uf1+Jh1/VconDgLtV/ururxc+LHvouiKJz1zb8x5YpbBkzBwldczkNXTGDlF5ez6kuX8eD7xtC2PXM9qHq8lEybx9q7slOrvHHXrTx32wXE2hpY/P1HWfS9R8gfOxXF8FJcexKLf/gYBeOmAbD9wZ9hJ9MTPqxYhC33OLQmbVvWMHAhbcUj7HzsD73F+YBD01piYWm7UU3X1rlHBasrx7aNR4B/29xdNwhFZcrN92Hf/T52bEimJcLYNvR027S32BQWK8Sispc4ORsSzV2YnWG81SV4ygscoVQEyc4wPTsbyJ85Bi3gBXRI1sOh7+OaFtQfar6T0BDblZb8IBSBluclMKma8M5DYMVTpqUKtrOAFuAkuBswcRpMPm0KYu5Ceur3kOjpxIxFyK+pZca1n2PUvKW9Y0eaDiBUDZkqJkdKtt2f2RLwhS8u57IH9qEMoOZsfOM5OvdsGuSiJI3rX+DpW5aw/J6tVC04n6oF57vuGetsQbqUpcW7nNIxVXaTX6QQ6rTSLGtpJYEBZXCaRBYnie26FzwjQxqXrFuJUXX60DseAY5r0gHw1JzFqLHaYXKDdAhBwhOkrU2wf09uqWx2wiSyp4mO13fQvfEAnet2O1QcElT/4fVT0klmsMM4SQrZfhYDxtzuOJ8Cc0BkmqmeYoP8pd/EqL0aUTiVbKmIQkDbzq089fGz2f34Hwkd3Em0pZ7WrWsJNezH7pcwf2j1430COgjMeJT27W8gpSTcdIB4yMm17di1ASs5RAK9bRHvaqPprcGdL2MWvg/NG0j7TjG8jF14IV2PLGdc8BnmL/KweLmfstHOy0LRNarHu+gjUziC7DlSmpvsiO3654iNdRjHhXQAhOZF8xfi4n8AIaiYVsyk88czbU6W4mRFoPoNhK4ijH4aRYIViSOTzsMvDHUQT2//t7pICaMCWh7E6x1TufgiEG6GkI1mvUZwyf8izJ5Br3XrG3GspNXPmSOxoj2svfPjrPjgHOpefYzHb5zXS1w2JKRN9/5tPHJ1Lf/8wGwevGwsL37tGgKjJ+RclJ3oHpxlcdySq6k4cSGaN4BieJ362PJSagrXYza8jrATaLpANwQnnOalZrKHMRNh/NQBv5cETLCm9r9HI1D7270HO5pb8+VccdzcdUHe4ruZuvtaNq5JOM+WBNVQqKwNUjzWT/db+1x/TsVv4BtdjFaUh6Ip9OxoINnmHuTWArlSq8g+s9Zsh/q7AYEovRQZOAFCr2YeYjrJCNIcXHv1hLKvqUOHdrHq9itzT34XAk9+CWvuuhUr2vfgH3rtcSc2mkOZnjSTlJ9w1qD7KJrGwu88SOvm12l8+jsY3a9QUhHGbl6bua8K00/SEdkec186NXbu5TiDQFqEX/wcwfP+MPyxUjiuSV3gnXgxwbEzmDXPYNzcIkZNz2feVWM4YXkV+16sx4y6axY7kiC8p4nQ5gMgcdahbtKsKgQmH2XvFxmD5j86fxed63RR6w9hQOFiAIxJg7cM9PkH0RxSugtob11sOoy8QiZfenPGFjsRo371k2i+QMYx4DiWVI8P1fBy8qd+hLfQqbKxOnfR88Jn6XpkOZH1/w/ZL6NHCEHR6AJGB9ZRWm4jshQmODPNIngZlzByoZPEnsdHbCw4rkmzouyUa7Dav8qkRTV48nR2rqpn8z8OESxSCFaroGYv9rajSWIN7XirSlC8BvZAobZsEi3deCuOspO1meIwKlwCXSuh+3VAOqEHzxgo/wAAgdO/SWLvCmTYvZTs9PMD7NyUYN+2HM1ZwAgUkujJrOtUfQGMvHxXp460bYRLJ3BPQSkn3PQt4qF2xiy8nODocc7ltbxN10MXppxfFmbjWuLb7qHwqlUIzXkpJQ88D/Kd4DU+CkgTO9aJ4h2ZTuXHNWkWeOd8jGCBkyrYvauZQtHF5Jk6FVXq0ETpUhI90ErX+j1oBX7XXSJ7mjB7jobOMuU0AoRQEeO+A5N+CqM/BWO/C6NvhbaHkZ3Pg4DghfeDmiUhQZVMOSFA7ZzMBbhQNZQBpGCq4SV/7BR3gcsrpGrBsoxkBaGoVJ58Ngu/dT+aLw/NH0T356P786l938d569dfZcNv7uCJj85nx4M/J9m4ltBTHwYz0ieEVgy7p574zgf6xvUWg/LOtyHMFdH1Px6xsY4LaRYoqoGWX05XXYhkUzuqKlA1gZai0+iNl2aLlUqwY0kSjZ3u221JvPkw+VeuBo0CatCh8+wH4Z8OJZdBxwrY8xlo+AUc/B/YdjVasAxhZE+SEDLBhBl51JxxcW92kaeghLmfuYu8qoloPqeSR/PlERg1jrmfujMjc0n1+pl+zW34y6uZ99mfohpedH8QzZ9HoHIsp37p1wSrJlJ9xiWohhd/RQ1zbryDLff8kHhnC7aZINnTRez1/6Lr4Yuxu/dlTtSMYDa9QfLQK3Q9cB7hV77iaNqRcPYcA9gjyCYo3kkm7qEwd+5cuW7dund7Gr1Itm+j4fen4/fJzLWWLWmptygfYyCkfVRLGqOigMDEypz7iaJXwpQ/I9TM9Z3sfg32395XHA6ACkVLMfXz6F5xlRMvtVzY/xSdouu3oXiLsC2rN85pJRMcfPFhOnZvoGjibGrOuhRVNzi0+knW/PDjRDua0Tw+Zn7wy0y7+tbe64iHOmh+60U8+SWUzTqNRLiLf143i0R3e2/1i1DUtEqYojKFk8/y9r4EM6D58cz4MPHNvwMzvVHUYPnFKHqKlE0yGDOGUBVQFWTCRp98OcldD4E8cibCwwgs/Q3e2vcNuo8Q4g0p5dyhxjq+Jh0EevFUCmoKSTR3ZNQWSgnNhyymXDYBK1UuZkUTqD4D39gyerYdyqxO6Q8h8JQV5C6g4NB4Nv8FRv1n5rauFwcIKICF3fIkoY33g+aHqDujgxKoRHic9ZOiqlhde7B76lFLZzFuyVWMW3JV2v5VC87n0r/vJhnuRvPlZSQveIJF1Jy5vPfz7sf/hBntSRPKgaVqJZWqe3tSAMVA8RRitW5MF1BnI+RVQ09m+RmAPm4pwSW/BiHoeem/SGz9Y/oOqiAweTRGUcCxfkwLMf5q4uUnEH3lKxytQyn80pcwqk9H8Q8/m+m4uTsE/Cd9BkVJN2stU9LVbjN7aSFCVdALAxScMJ7iU6dQcMJ4tKAPLTh4iMWoyEfPsl7NDhNa7kXG6zI3Jd1jc3Y8jow2uAuoYoDmI2/x/zoF42aU7hVX0nnfGXQ/cR0df5hGdMOvneEjIXY/9gc2/fm7tGx6zbmGvIIMAXVD974tacXfbkjEpHu0R2h4Z32UgqtewO5xqXKUJvS43A8AIdCVDdD1NELzETz7xwQW3YkSLHbi2QEvBSdOwCjOQygKQlVQPTpy71eHJaAAxFvpWfmZoz++H45r0iGgTfwkwvgWJJzUOiklqiYortQpmF6dtiSyk5bTgUsIpDm459E/pvzoJiQFHPox0gqBbxKU/QfCU4WbKWdF4nRvPJD1WVOC1QTO+gF61RkARNZ8h+ShV8CKOf+AyOo7iIsqnr39I1iJGGY8hmp4GLPock790q9zsgTK55zB/pV/pyA/im4I2pstEgmBt7CcZCSEEIKWRqido5CWyKH58Z/2dXwzbwRArz6LePd+FzPUxdwVoHg0PKUBqP9/yOB8qL8bj/kqntnlgPv9l1IS2ryHkQjJJPc/g5TyyKwlFxwX0iEghCB4/p8IPfUBZMJECAWhKQSn16BoKtKysRMmZjhOoqWLRGsIrcCPFR6E+V0RiGwhnCERh9AawILIVuh4Gjn5t+CbAqHVaXtGDrSAlX29ZnftIfTkBym86iXUgnHEt/+tVzh7YcZZe9dniXd39K79rFiEgy88yKQLrqd8zhlDzrhm3ql4z1NRFS8Sp1hnxyaFWV9+CisRp2PnW+SPnUphZZDIqs9iNq9HeIrwnfxZvDNu6B3HP/fzJPY+jkx0I2QcJS+A1d3jWrfrHV2Mr7rEWWsKDfZ/DWI7h+SSsqMJ7CzF50eOkXFqHRfSHKBXn0dgxkkIswkBqHnevrejIhCKilEUQM/3YZQG6dlWj16ch39CBaFNB7Fj6XFIxaO714DmDKvvfzsGTb+F8g/2JTkc3ppLiMdMEN3wc/LO/B4IF9NVCFr3HcxwzpixMA1rn8xJSCMv3YrHC32deWHaiTp5JUHU4DSKa/uoYQoufyrrOEqgksJrXiex7WcY9mNYsTjdb/dkKD2hKfjGlvX9RlKmCMeHjqseXQ1wFgjhOOuyhMByxfE1aY4wxl6OludFC/rSzJf+JNlCVdALAmh5XpIdYRRdJTijGsXX9yPpxXkEJo1y+IhwzCvbpZwtd9jQ/RrsuCFjS18C/yCQSayOnQB4p10H6oBSN0XHE8ykN1VUsHf+trcZVNbhrSRmw2uZiQeKSvLAs0PPb+B5Pfl4vFsQioXm1zCK8xwWDAAEqBq+8VX9fiMFhIeczVddGdzhd0ST1bBGoOnwcSHNFSWX5by2UPO8ODm3IC0b76hChKFhlOWTVzsaPd/nmMopwVRUBeTg9amDwo7gRmTmG1PW7wHONlkveo2TRuib+zmM8ReA6nGS+VUv+rjzOOmKZRi+dIFXFBg1KkHk1a8MPr5Q3AsBhILQjtRxBjJ+EGK7ez8HakcTmFSJXpSPMWY+wYsfxDv1P1JFCQIUDxAjVyGN1Q2e4H9EsE0U3/DJ9YYlpEKIHwghtgkhNgghHhJCFPbb9mUhxC4hxHYhRGa5/b8YhFFKLqsDKSV2LIEa8CJUBZm0iOxrQSZM/OPKnTXS4TH7a2Qlt05eWc7q8p2KGvCSP3MMenGeY2IfxuFMHc2PkleNb8aH+o4qnOgkP8gk2EmSu1cQDD/Bwou8FBQLhHBimguW+NANSbLuJQaDUFQ8U67O1NASEgdfIPTcx0nWrRr6ChNNyB0fhu0fSLtekQplBWdOIu/ML2GMPgNR8wWY9TyUXOo4mewBQio8ZHv0rfAwmhpnTNoise/JYQ8z3DXpM8CXpZSmEOJ7wJeBLwohpuOQjs0ARgPPCiFqpXyvJlvmiOqvQt1/Z90spXS8uhJ8VcXYSYuenQ295pPQM9d8w/X8uUIYUHQB0nsG0VU3IC3FmZfmQwQq8U77EHbnDtSKeXhrr0Tojkbree7jJPY+7uI8CqMqglPPCTDwhSB8pUNOJ3Dm95BWjMSuR5xjPPnIRIjEjr8BkuT+FfhnXY5n9m0Od9MASClhz2chvp+sRfHSBL+TLimTrdB8L7T9E1eqVM8YJzGk5zVkMo4ZiiE0BcVn9JYSjgwk4Ze+gDHuPBT/UXrzGaaQSimf7vdxNXBF6u/lwH1SyjiwVwixC4fN/rXhnO/dhig5BzmIkAIohk5gymiEECS7IkjLwijLR/Ho2AkT1ZM933Qk3PW9qLwBRSbJmzkPYk5IwRajUGvvRvhGZ+xuR5pI7H3MPSPJmV3mV5oP37wvDjkVoXkJLv0lcuGd2LEOOu9Z0Hseb3UJvpoSpP0qcvubEJwPY7+N6J+XG98PyQYGZa2QCdjxAeT4H8CeWx2KmWxcxrGdENtJrCVEZFe94+BJ3Xs5iDf8qKDoJOtW4am98uiHGMHp3AA8kfrbjbm+yu0gIcRNQoh1Qoh1LS0tIzidYwV3ITu8nhSKQNHUlBPJT+HcSfgnVOAbU5q2Dh147OGHwzJtbFukznMk71AVhNfRoqNvAa0Ydn8KEd+LEBIhQKUFDn0TGa9Ddr6AjO3rPdoON2YQeA2E8JagjT4NVA9KsIbAWXfinTx46lva8XqeU3KWStDX8n1OmERRnHsmExBa62RV9YedY46u2QY7bwSri+xk46khE6YjoLZ0wlS2HHkBTWGw3OlcMORTIIR4FnArfrxdSvlIap/bce7KX490AlLKXwG/Aid390iPf8dRey/suGLo/Ujlg/bXjqpwCMzo+65Xe6bipkJIbNNC8WiD56SmQYeKD4NeBMEFCKMCGd6UKmnrP4YJ4Y2w7T+cbCNpIoMLYNw3UfLHu6Tc9YPmx3fybfjm3JzjnNyhBEb3ci4ZZQWZji0Zh47HoPLDfd/5JjstIe3Bs5ZSA+Q0j0T74KwVIwWh+dFrzh7WGEMKqZRy6WDbhRDXAxcBS2SfmviXYK4/GgjfaGRgHrJnLX1huOxm6sDvhSKw4g5TgVAVpBBsfrKePWvaEIpg8ullTD27YsigexqKliEqr0f2F2o7irv2sZ1/KUGhexXsvAk7eB0DO4f3ztkowDf383hnu+QMHyEUbyGeaddB5z/xlOW77zQgXiuEkjJjP+OEcqQEmUN38EEwLI7dI0DwwnsR6vBK6oa1Jk31Hv0CsFDKtLv2KHCPEOJHOI6jycCa4ZzrPYUJd8KGs2g/GCZQbKB7Ndc8AGnL3ofBNi3sWBLFoyFUlXhjJ56KQl76zW6adoawUn0wNz7RQHdTlAX/MT73+cR2IPd9BbocL6ksONOpK801NhjdhhL7LkKVLnXUgoLLn0Itcm8ULKUFsb2g5iEMx+CSyXYQGkJzF8LAtPnI+tcRbiap8EDJ+5y0R7MLjEqE0BD+qcjp/4TwW851JTvh4Ndzv8a0OUv04jzYPfS+w4WSg2NtKAzXu/tTwAM8k9IYq6WUN0spNwsh7sdppfSMTgAAIABJREFUcWgCn/iX9+z2g1A0bKWANx7cTs3sQmoXZnrupJTEmzsxyvKJHmgl3tDZ23rCW1WCVugn1BpPE1AAK2mz740OTrikGm8wxzdw/EAqdpi6xV2vOAn3477tOFFygYxilBcQb8hkXRC+cmS83lnreSf1OnVkz5uw73bHaSNNpHeCE+5IOEaTDJwEVbdA428g9DqoASi7FprvcRdQVCg8F6K7YfPFgAKKhqz6HAROgJ41Tj2tbwYc+jSDd6LLDmd5oeCfWEFkV5NrWuHIQKDkZXqrjxTD9e5OGmTbt4H3NGP9cKBM/CFzLno/m59qYOJppSiePlVqmTatO7tQWxvRm7ud2JuUYDkPQ6yuFaXNwIokWHihj/07k+zZkux9VhRVEOlKuAhpFrKsFEl2H5IQ3QnGKMeZlK17eNrIVlpmVN+FKrD/SxDfnjJDFeTYOyAwG/Z+Ln2dGN2WfmzPG7Dj+lS2ke0kXTT8kqyCVXqlI8jNf+kjX7OAA3ekJul1nFu2mdow2HtfAGqq87fLfrbtJC4cy3pqI39EvPXHM46OFv7plE4sZeay0TTu6MZMWJgJm2TMItKR4NV7DrD9rQRWKJqZZiYd0jKB0/J9/FSdKSfoaduDpS6lbmoBCLcSOBcHk0xCeBMUnEVOSRi4BPIVgVFegohvdRw6dgTsHkd7djztOk46zNTauj9LdeqFNfDRE15nrm0PO+dynWQslV2VYFABFR4ovgQm/w476e5RRwhk8uiLunOCGcXqqR/2MMcT7I8SQgiU8usolb9l16stPPuTHRSP8RNpT9CwrRtpQ7JIyyn2qWmCmgk6OzY4/WNOurwa3evy/rSyULG4woZDd8KkXzqmcKIeUFIPuUu3NxR8NWXYsSRmVwQUgaeiCP+4YhcnloDI5mFUc1kOC78dAztF9+mrBe/kI3OYZYOUULSM2M5niazbSv6calSf0edRt2wSbWGkrTJkx4DhQDhLo+HiuJAOB+XXQvNvCe9vo6MuQvuBPt+ZxyeYcbKRs7kjVEHtmaWMmVNEUXWunLxDwDah8xmo/RNENkGyDRQv7Puyi7ZSUD0a+TPHpDSPghA6jtYaCAneiUD2Jkx9cDHRvRNh0q8cb210q5MtFNsJ266E4ALofI5cKlayI4G1+w4ir68BO0n3hv34x5ZhlOaDlMSaOokdbAdPMcRGlsi6DwKt7MRhZRodxnFzdxgQqg9ZfCMlxTLjOSwbpR6RolENlXEVUZTG+rT83uEhCfFDTqVOYBaicBEifwGM+TpoZaSHaPpMPyFUhKeGQbVM0Xkw7ltO/FIJOMKvVzqmpuJ3/qmFULAEx7fYD/7ZzksjtquvgNuOgtXtOKd8WV0dKWhgTEjl4GZ5CSYOOYyDAJZNZE8TnWt20rl2F7EDrU4MOnEklsmRQSk/keD5fxx6xxxwXJMOF0XnEMhXUDUwkziFFwIOV8FkQICnstDx9vZD/3XT0QvpAGYDoUMws+enKDzLCdPs/SKEXnYZx4aEO2cQAGO+htBLQD8dOeMxiGxxvK5qPrQ96jiQArMcT66U0HNperph+0PQ/hiZWtqG0Buk3zilb1svTEjshbLrnHM2/XaAc0zB7HLvHJAGJdW+wx4wD6GmEkkGe80KRP44jDFLiO98EOLtOFlfoE+6nODSn49YiudxTTpMqHljUIP5eHyC2QsMikqdH6bpkJVZ1y0ERmm+O2uDaUMqAd/sySWzxgUDGzhJE5rvRdbdidx2LXLPbcjwxtRUBGhBjoo9wOjLUxGKB5F3ouON3X4NtPzFaX3R/Ceo+y70rAZXhvlshNyHPbeHkUq+yICElj+DUeF4sZVUlY0wQM0jER879LVJG+/sm1JcTwHQA6hlcyi6YTf5lz+VNU1SKZ5KwdUvUXzdGyjBajCj2Jbk0N4YG1ZH2Lbib/Rs/Nvg5z4CHBfSEUBw2X1MmqFTt8eks1Vi25CMw+srY8Si0kngFgK9OA/f+HLM7ixCmKrAiOxtPrra0oxQi4TEPmh7COL7IPQa7L4FGUrRppZcljIZjxBdKzO/O/hdx2Q9LJB2FDpXOh7mYxQil1I6bBS1v4VRt0DhUqi4Hnv0dzFb95OmCRXd0ZCqz6mXVb345t+O2bTeeZlZcfTRZ5J/6WMonnz0irlOCqML1PxxRNd+n66HlxN7+xdYiQirn42x5Y0E9ftMdm+M8MTnP0pPw94Ruc7jQjoCUEtOwSiroaPFTgu7dbfbvPBohIYuP4XzJxGcWpXZcsIF9oiWS0F6CCQO9T8FQARmOkTbRyqobf9I+yil7awvB0JauSlqoYFWQrbihcGQbD9A8uBLxA4eJKkshvIPEnr648jIgNYaqpfg5c/gnX0T/vm3U/D+V4lt+Dlm42rHtJUmyboXCK/qS/4waq90BLo/FI3kvidJ7HkUs/4lZKSRhv0m4ZDN4W6RtgXJeJK3fvXVI74eNxxfk44QlIKJIHa7LmO2rmpjxjLHRLQTQ8fmZMJEJi2EcYx+nkQf5YkovhBZsAh23uRkLuXiVbV6kNJCpHIhhVCQar7j+OkPRQffVChYBJ1ZuIv8MxCTHdpQueeLEMpeRN4/zRIAWxLZsQNr4/WOJ1s1UAtrsTr3ZhYnmFFCD57nMDVYMXj9m335y73X5dS8yoU/QugB/HM/h9m0DrPpDadyx4xnrl+BtiYLa+Btk5LmDa9kvZYjwXFNOkKoOO/bWf0MZrzvgRmKjxcAKbGPZaDdOzHto1ADUPt7qPwoOak+78ReAe1F+fVOQkIvVFDzIHg69GTpSiB8UPW5vs9jbs/sEtcPVjSONC1s00LaNpEDrc763ow6ApcMY7VvdTevpensY/b0/e0GaWK2bXWmp/koWP4IBZc/TXDJL9AnXJK2q21Ltm+I01jn/mLLqxyb9VqOBMeFdIQQrJmNpyDPdVvZROd7KSWKruIbN4B7SIBeHOyVDzXgRQt4XUYaiFQbQuUIuYKSTUhrQKlWsiW11uz3SGgVEDg55ZRJNTNWfFDz5cwxy66Gqs+AUeV4eguXwOTfOFrbdqlYETqM+SrCPwWA+K5H6LznDNpfepNk2KKvsYeampMgtPEA3ZsPEt7VSOe63cTrXfiIrJjDzjdEbWxWSJvuf16G2d6X4qiVTMcYvww5oCDetpxEFLeXs+rxMfvGO45uDgNw3NwdQUz/wNdZ/9Pben80oYCqK8xZVoEVS5LsDBNv6SJ/eg16YYBEew9CUfCUBhG6SrK7kL3P7gW/hXdSEk9gqDWaHKC9ckSyHVruh0qHYVDGDsCuj6Uymg4/cRp4qmDiT5zKk+5XnCyhomUIPZM9UAgBJZc4//rPUCbd62KF5nhlgeShV+h5/uNgRlF8BppX9OsrmtJSWilGZQXx+sYhqUqFrxQZOhxCOormwMkIkTXfIX9AnNM76RJ69q7oHU/TBeNqdbw+wcY1fWZw/pgpzLv1LipPWnRk582C40I6gpjyvo+z/u7bQDjCiW0zb6GBrKunq1Fg2w5DQuebeyg8eSL+AdpS8fvYs0ehu7GTt57t4tQPjmfMCUWDn1TGjiI9z4TWfyBRILzBSYRnoPlnQmQjmO1OiCXvxCM9CQDCGIX0TYbINvoSJlTQy51UQCD65k96C871fB+STKNbmm34z11J/E8zyFwA9ofST0Dh6HIXJWbTOqyufagF4wBIHHiO2OY/ZoynaoLKMRrb3kqQTMnp2LOvoPKk4RV698dxc3cEoSgKY5deAxKshE1ljYbXJ+jpsolFbJRUCworiWuzXduy8RcaWKbTb+a1P+8lET1GFX5Wp5ME0LOaTAHtvaIc2RCynCKZ4ODLj7Jvz8lYnumO9hQaBGbAhLt6g/12pKn3GDtuulemWBbhVZ9H6EM15s01F1c4c8kiAjLcTOd9p9H10AVE1nyP0JMfwqx3S/xwDAXD2/dasc3cmzLnguOadIQx99M/Yv+z9wKON/LFFVEQzg9ZNUFl+kkehGXSuWYX3spCfOPKex9WzaMSC/dLz1ME9Vu6GHtycY4pB4fXb7kmqQ/xAtCKnTXmAEgrQbJuFTIZRq9e5NrROlS3i6c/eTZmPArS5nXL4uRPfINJF9+AUINp+xoTLibasQOsGMnOMDJpIhWBSHVrlpZNtK6NROOzeKZ/iPiWP/Wl/IGTjCCUTJbDITGYKWyBZWE2rcdsXDMolY2UEAmlOK40nYLxM45wHoPjuCYdYXjzi6k42TF16g84rnnLBARMnunE3IQgRXwl07SGABZ+ZCKap+9nUXRv7jlBQnH4gIYNzUm3G/8dZKyN2KbfE93wK6xQHWb7djr+NJPQ0x+hZ+UtdPxpBvHdj2aM8Or/3ECsswUzEsKMhrESMdb979eItGYWlfvm3IxaPAX0ACg63VuaSbR0YydNrFiCyL5mYnVtIFS0sjn4TvgU6E62lFo6B6EHjkJAZariZghz2E5kFVBpSyxTsmlN3PkZhYInv5iasy49wrkMjuOa9BjgrG/9g78vK0n7/SuqVIfMvV+uoLempFdbgKM5VV1hzIlF7FndhqorVM84As+tFBDdMszZ607/09IrMOtfo/vxxTgPtCTy2h0IbxEy2kb/i+t59mb06oUoHocVz0rEadu6zsVslRxa/RS1yz+a9q3QAxRc8RzJg89jtW9DKZpKz9M3wq7GAYdbaCXT0aZcjW/eF0BaCEWj7ZfumUHHHAIa65J0dkhUw0Pl3KXM/fSP0TwjVMWUwohoUiHEbUIIKYQoTX0WQoifpBjsNwghThqJ8/yrwPBnhmJ0Q2QQ4ykuZNmaoRAoMigY5WXJxyceZr/MEbmthaSUJFq7CW2ro2dnI4m2HhKdSaykClWfQZRfC6iEnv6IY1aa0d52iDLcQKb2UdJY6IWqIdTM97+diLPlvjtJRjKZ+oRQMMYsxXfCJ/GMXYp/wVecxseHofnQq85EK52V2l/01mrq1QvJdDUJhK8cpWROTvckKxQdpWBS+lwAhNNxoGpSEed+4iKufrqTRd95cMRio2lTGO4AQoga4Fygv0ttGQ752GTgJuDnwz3PvxrKTzgr7XNro4UwVDyjivDWlKAGPJihqGuO7sS5+Zx5UR4+I3enkW1axJs6sYfijhUG4T099OxsJNnWQ6K5k55tdfRsraPrjV2EN7/itMro2o00M01IN5+OGYsQae+LWSqqyoRlHyCv0EAZ8IRFW+vZ/NfvD3k9vlkfJXje79GrF6GWn4T/1DsInv9n1309Mz6c+aWeh5I/Frtt85Dn6oXqxTvnE04fHD0Img+1bA7573sS/5l30hadSFNnNcqsz+Ob9yU80z9E3pKfEbzgPsTRxmVzgDj6bl6pAYT4B/BN4BFgrpSyVQjxS+AFKeW9qX22A4uklA2DDMXcuXPlunVZslP+xWAmEvztHMdBompQXBNg8ScnoyipWjZbEm/pwihN8eCkvku0hwjvaABVkDdpFEZpPlJKIvuakUkbz+gS9MJRSLOt72S2Q3oW2duMlu8nOL3avUxKeLCsYrrWvJZ9Daf5yVv8U/TRp9Px59kZjPbdHTaBfIGa4gmWtiSRgH3xyzjty7/r3S+67QFe+eYHaarLzJzKq5rI8nuOziyXUmL31CH0PBSvE57qevgizPpXj2q8XggVo/ZKgkt+hrTimC1vo3iLUQsn0X1gO8/cstRxggHSTHLKF37B+HOuGd4phXhDSjl3qP2G27BpOXBISvn2gE05M9j/X4VmGEy95jYAistVFn10PKruMNsL4XDuesoKCG06QGR/C7FDbYS21tGzvZ72Zot9W+O89VwHnfVRpGkTr+8g0dJFaHMDkbo2sO3D+UYIxWlapAW8mJ1hQlvrUiTchwVVp72plM1rprPzjTJikUHMYjNCfNs9KP4yp9ta/wRzRWf7RoXWBgvbktiWJNRts+b5KN37tvfuJqUk+vrXMLLUZBt5R8fonmxcS+ef59B5zyl0/HE63U9+CJmMYLUegbbMBs2L/5TbARCqB71yPmqhU3z+8tc/0OcEi4SwEjFe//7NxDrfmY4Lw2KwB/4Lx9Q9agghbsIxiRkzZsxwhnrP4cSPfINt995JR5tEdWHik4Di96bRaNo2RMM2295MAq3seqWVYJHKyWcaeH0KmFFie7eDbxxbn2+idW+EsgkBZp4/Cr0wgBmKYnaE6Vy/m4JzvopQLd742zp2PbkC20yiqCpCxlmwxEdeQZZ3dKoDWvCcXxN++UvEd/wdpIU+7jxKF+Tz9oo/ImQERXVK8hTdYGz/7BrbhHgz42b6OLQvhN3PalcNg+nvvy39PphRom//gsTuh1G8xXhP+BTGmMVp+9jxbrr/eTkk+9azyf1P0/Pi51EKJmC1vJnTb5IN/lPvQM1L1yO2meTt336djl0DdZCz7m5Y+xzjz3n/sM6bC46awV4IMQsYD7ydMq2qgfVCiPkcAYP9v1ybiSOAoml4CstJdDdjmzaKmu4FspKSeE8y3ZyRsGV9uqYLdVi8/WqcU5Y4XsNIj83TX9+MbTq3q21fmB0vtnDO9RW9iksmbNbd8wbeionsenIFVspUsyzH/Ny4Js6p57h4ITU/3pnOGk/ofvLO/gmBRXcRbWvg5a9fR+vm15GWCULBMm1Ujw8jWMS0q50SLylNOPR9CudNIj+eZIGvjTcebSQRtVE1wYyrbmTs4r42HVJKuh+5FLN1I1gxLCDZuIbAWT/EO7XPnEzufZwMh5UVJ7HzAYIX3k/oiWv6tckYwFAxFBQdz/TMde1r37uJg6secj9GCHR/IPdzDANHbe5KKTdKKcullOOklONwTNqTpJSNOAz2H0x5eRcAXUOtR/+v4vSv/AFpw/YXmzHjfSrFtiTxsMnONR10tfd939bk7izqbLdJxJ2HdNPrsV4B7R3PlLz+SLPzQQham2x2PXEvm//yvV4B7Y+udptQl0UsYmNbEjMpQfXhn/9lDJfeJSu/cAmtm1Y7AgqARM8rYPYNd3DRH97EW5hiam/+K3Q+S7Suja4395KvhFh0sY/FV+Rz7n+exYyP/DhtXLP+Fcz2LelrZDNK5NX/TnOqSSvmHq+UFvroU8m/5GH0seeiFE3BmHoteIpSDYQHQjiF34ehB8m/7HGUlIfLtiy6D+6g68B2DrzwgOu9A1B1g1HzhmVE5oxjFSd9HLgA2AVEABf3278HRs1bAsDbK+pJxmymLipH8yjUb+nmjX8cJNptsn+7ybgpOrWzXMipB8CyoLPNXUt0tdrs3Zago9WmtcERdmlmzz565cmYQ+ni9zF52VUYwYn4WopJPvwrtv7tR/Q07MNTUMrkiz9C6NBuZH+7VUpsM0nVqedjBPtlHLU9QrKjndihNg4TggtA1ySe8edkOLSsjh2k2cOHh4+1O5pR9zttIWoWZbqWhYpedSZC1dEr56FfeB8AZtsWrLZNWC1vg2KgVs5HJkLYbZuc7CRFRXgqCJ7/Z/TKPr9Nw9pneOVb12PFothmIis7RqByHGd/72FU4yhYLY4CIyakKW16+G8JfGKkxv5XR+Up59H4+lNseaaRLc80Zmy3Ldi3LUn1eI2SCtU1zBHIE0TDNnX7tUzupBSkhO0bkkMm0aheP2PPvhIpbYQQJHq62Lbifmwz6WjKfhOId7aw6S/fdS39EoqKFWlCtm52+oHmnw7SIt7clUkIbtvEt9+Pf+7n0+dSMiNLWZlN1yPL8c64nuja72L3NDixSkVPrZklir+cwOKfph8V66T7oQuQiVQBup3Aalrn1I9KC6woWKl18NrvoF/8AADRtgZWfeUqrNjgjaAUw8Oy36zGExyi8GEEcTzj6B3A2f/zIPcucdYviiqwLRdyagEdLRalozRUNVO59HRLXnsmhp5XhDVYPbibgKoa/pJKom2N6IECpr//VqZfcxtCUWjZtJrnbls2+MMppWshden4PArNb0C9jbSSmNt/AkYNMkvM0I0oWqucjz5qAcn61xwB6ger5U3CK9f3XZTZk4pl3oxRvQht1Cm98clk41oir34Ns+VtsAZ4r93CTdIieXAlXQ9diDHpMvZvCzteO9d5Oyz4quFlzke+/o4KKBwX0ncEiqZRNHUeHdvWcvr143nlj3ucdib9IBSBx6ewd1sCM5sQKirJnszc1yEhJTM+8EXyq2uJdbZQMedMhKJgRsNs/duPh9Qe2TDptBKEHcUMxwhtOpgyD/cBSmbuuurBM/OGjDGEEAQvuJfo+h8TXff99HWn2xrUimHWv0pgfl/hudm2he5HLx28v2oWmA2vYba8ReRgiWtlkqIbTL3q09hmkvFL309x7dGV7A0Hx4X0HcKpX/oNj18/h9HTC6g9s4KdLzf3dlMTCqiGQlGZYN92m0kzdPx5Cq2NFvX7zb5nNcubfkjYFmt/dAuKpqPoHmwzwZT3fZJdK36b1TGSC5q3N1E9rYrQ5oNIcyAN58A5mKils13HEaqOMfYcom/9NC3Ekg0y1pfdJJNhwi99CVyyo/qdgUHXAGaU0sIWdgwwABRNp+bM5Zx407eGnNOxxPEqmHcIReOnohg+mnaGmH3RKGacOwpvUEPzKFTPKsRfaLB1fZwTz/AyborOqDEa004yWLDY228NOowIlZTYyQRmJISdiLP1vjtJ9nRiJ7M0RxoCmqFSWZakc81OZC7shtIi+vogTfa8JRnZTa5QvRgTnSqT+P5naf/dlFS2UZZ7o+jZt/VDIKgw+/IrUA0veiAfzRugYPx05t36k6HndIxxXJO+gzjj6/ew9gdXc+5npzJlYTnTFlcgpWT3a20cfLuTORf7UPpVymiaIJCvUFGj0njgPdTeVQhmzdfwa0M7qfrD6tjh+r204nQ9eJ4rOZgonIzsOZRapEuErwS1ZAad953ukI5lg6Kjlp3gOI1ygsLkS25i4n/8iNbNq/EWVVBce+KIsdAPB8eF9B1EzWkX8HJngke/vpHqWYV483WadoTorHdMTo9PZDwUmi4YO1l7V4U0WO6lfFKQxu1dxEIWM04rp7y8e5AjelMq0r6VsXa6V1xN4IxvoxZOQkqJ1baZ5KEXIeZCKgbIzl2QVw3hQyBUZLSNnievG3zCmg/FX5HSzDm8RVQfWtlstFELnMqWBcuGPuYdxHEhfYdRMPkk4vXr2b++A2++xrTFlZRPzKPjUIR4tBXvAF4x05Q0vEsC6iks44ybz6K8qgGR6sJmJ0w617nzCwMgVNTCSdjJCDLaku5ZlSbJA8/S9Y815F3wV8LP/id2vNPxxmaj2ERCTyoNXNoMzToh8M//LzyTr6DjT7PcR5SSmP9EgiWFyEQ3nkmX4Z1543tCa7rhuJC+wzjvZy9x/7kBqiYbnHL9VHSfiqopFFX7ibd66Nl+qLfCxE5V/h/ae4yb3WZBvLOFgGcnQvaxFpo9MadixyWMhFAJXvIwRtXp2IluYpv/QHTtD8AM99tJIq04oRXvd0IqIwzhLcJ3wiew411OXGtg/2YpaW2w2LptP5f9I5fWje8+jjuO3mGomsbESz5G8eQSNK8joODETz2lecS8hbQ3W0TDNvX7TF59OjZ4XHSYKJ6xIOs2IaC7KZz2neLV3YtKAWP6BzCqTnf2M/LxzbwRV5WbKiA/FhAeh25U8RSglZ+YcXbbhrdeixPvdjev34s4LqTvAuZ+8geUjstD09Nvv6IqFIwtYs3KGKtWRNm0NkE8emxrDtq3rMm6TajOGrl/8oXm96AFXShdVC95Z93Z+9EON9Dx17nuwqh6wbUDdo6Po1DJxrRv99QhU8kMeef+FryjMU1IJiTJpGT9SzEsS6HixLNcj38v4riQvgtQNJ2uZgUzmR5PtC2btgPhLEcdI2Qh2VJUwehp+eRXeol2JZGK32GvFwbeqcvIEBIrRs/KT/Xmu4ZXf9PhQho4vupBq5ibIhLrD4HIpSu26sEz9VpHAF0nrpFMFYCreVUUX7+Buugi3l4Dzz8ao6vbhye/mLmf/rH78e9BHF+TvkswJv4nyegfEAJUTXGKqE1JaG8Lqg5WrqycQ0CoKnJQMulMKCpMnGUwvtYkeaCJbXtPZMGtt2O1bcSWxYRf/Q5uZmxi+99IjD4Dz9T3kzy4kt4u3v2gVcwl/5KHsNq30L3iKmQyDEgUbwlG7ZXE3vgxbskQRu1V+E/5CmqwGgCrp94pSM+Iraa/PBRF4aQvPEDr5tU0rn8Bf+loxiy6HN2Fh+q9iuNC+i5h4gWf4IGLvsCCK0eRVxEg3hVDdHZgCHME23kKHGPpyAbUDZg4xXk0rJ4ItdXb6H7um5gtbyEUDZnI4vCRFtENP8cz9f0ogUqsfqTXh2GHG7HaNqOVzaboQ5udShWhopbOIrbx1zhvqAGCpxgEl/4i7Ss1bzRqUS1W2+Y0bS0UFX30ael3QQjKZp5K2cxTj+g+vFdw3Nx9FzHlmm8QP9hCfOcBRHMzkY44e7Ym8XhHKhQgyRs9DtV7hA2d+ilJAZDowmxaC2YUmQgxWOxRJp2Yr3/eF0HLLCq3u3bT9dAyzJYNCKGglZ+IVjYbIQTGhAvJMKMVA2PictdzBZf9xWk5qflBz0P4yghe9HeEOnTJ378Shk1ENpL4v0REliu23F5I+ShBqMsmEFSwbVAUaGu2eOvVuFupZe5QFGZc+wV8JZVsue9HRJoO4PEKpszRKR2lkYhLdm9J0LC/30kEVI3TmDX/KGolVS++k27FP88pR4vveoTwqluR8c6MXfWx55Kfqv/sj/iuR+hZ+UkEClKaaGVzCF5wH4on3/WUUkon88iKo5b+//bOPLiO6srD3+l+q3ZZkkHGNrKMZWwDXrANTFhstmBDUAJMymNDWGYoKkNSQAKEFJUCJpWpQJLJMCkKkkmYIhMGD8EQqARqMEtgJgYMXvCG5T3gTbawbG1v7zN/dMs8WU+bn5Yn6X5VXep3u1vn3u533l363t85B+mbBuqQ0lshMtPcHWKCM+8kse8J8gtZTB5MAAAOtklEQVQtbJ/Q/hUrG2sz5Ww/deuz6Jw6Dltf+DdmLLufRPNRbL+fC67wEQgJliUEgsJZ88IEwspft7Zih/Lx2QmmnN3LL7ovz+0820HAwXfqPMKzv338sDrxjLKgAIkDH2RMD55RS6DqSletL1yBXTI543ntiAi+sum9y+8wxdSkOcC2h0oorXAdB9xgTZ/tTHDkUIpD+09y5Us6tg9SSSon2syYG8Tn79ikVDufvdxI4fipnDbrbNpeuw5NJdy+oS+MXXKGO+/2xNcpYmPlVxK+4GF8pTX4ys86fii+53WaX7+16+VjYlF6Sx1WuCz78g1TBkXS0zP0bRHZKiKbReSxtPTvewr2dSLy5WztjGTs0BczeqIRh7f+0MbW9Yn+cVDAtlKcs3gck+eVYtmd+7uSamWC/gdjQ6vxhQsouXEd4fMexF+1iOCZS8m75Of4qzI8Qk3htOwjuu4XXl/1CyJrftb9+k47TKzuv2l9/4dENvwSp4u5u4Ysa1IRWYgr7Xm1qsZEZKyqHhKR6cBzwHxgHPAGUKPa/bjlaK1JG168Fmfv/2L7hDXvRjh8oH+cEwCBc64ex7RLTyHVEqHlk72dpU3SsUOEz72X6IYnXfGvVBwsH8Ezrie2/YVuRLXDFF29HP9pFwHQ+LvZOE1/7SFvtqv44Asjlo+ir76Kr7x/I5LlMoNVk34T+LGqO/taVT25OmqB5aoaU9XduIJk87O0NWIpvfYFDu1Pkkwqnx/qRwcF8scEmHrxWGyfhb84D39pAZ2C0qSTihJZ/c9otBESre7E92SE2PYXkEDmwRvAVfh7759IHFxNy5/vcfur0kPftv032xs1bn3nO30v4CggWyetAS4SkQ9E5B0Rmeelj3oF+75g+wKcNmc2a9+N9lp8wbKhvNKicmLXjuALWiy6bwb+kHuOiFAwdRzh6kok2N2YoUOnCQVOgkD1NeAv8ILvdiZ55BOaXrmO2Jbf4hzZ2m1Mz1hUibY5NB9z2LYhxraPYzRu63qK4mgmWwV7HzAGOB+YBzwvItV9ycBIVrDvC0WLlzNtx3RWrYx0NX/9OJYNl9bmYdnuJPizz4MP347S2OBg+4VwSYCWwzEsXxB/XpD05V0iQqg8n0S9j2SsDzP3NUV8958oWvQs0e0riNctd2N3ppPsWSspHlXWrYq6sqQdw7OyZ3uKxPRfM6X2H3qfr1FAjzWpql6uqmdl2F7GrSFfVJfVuD+/5fRRwV5V56rq3IqKiuxLNEyxC8ZRWHkql9b2PPFAHXcxuGW5E+BFYO4l3kJUhYXfnMJF15ey8Bof0f2HT9D2ckhFEiRbUki4nE5fATuIVTSpc6g/QNvqaXptGXnz7scunZLxnJ5Y+5coRxsc1Om8mMZJKWueuJdEW3Pmi0cp2TZ3/wAsBBCRGiAANOAq2C8RkaCITMINgWjaMj1QsvRD/HlFTJvj7xQyMJ28wo59ShHBsqGkwmJ2bSV2axOFhSA4RHYfpG1PPaloAieeJHa4jeath7HHzqRk6UcUL/uQ4Jk3QbDYddCSGoIzbiMw5XoyrjRxEjS/uoxUog2reDISHpv5vHS82DLRiEPTEafbloLl89O4Y0P3/2+Uke1khqeBp0VkE24E25s9YezNIvI8sAVIAnf2NLJrADtYSHD6MiYmnsS2hR1b4hxX21RA3NlI0+dkDp/wpZur0cMNRPedIHB9oNELCmWRf+XTFM2ZfHwU1QoWEZz6t8R2rAB1cD7fSOS9jSBdCHilYqQa3ABGjme3W4kSO0jo7NuJbvo1jhM5HuKxK5xEnLwKM3yRTlZOqqpxIKPgjKr+COhGHs6QCatwAiLC+Go/46v9pFLK3l0J6vemCOdbVNX4KSzJpCYPwaDSFk92bkcex6Ht/75HYdoyL1Wl5a1vde5Pam9nOnXfgQ5UX0v+3zxC3gUPUZqKk7duNi37dmU81wqEOOXchRRUVvXS9ujAzDjKMVLJOEd/dSqq2ifNnXD1WJxogtj+Xohn+8LY5bNwjmxBfSFoO0yfopD1FjtM6Y0fYeVXHk86umszb9xzJU48hgJOPIodysfy+am+6iZm3vYQdjDU9f8cQZi5u8MU2xeAwknQlLm26YrE5y3YecEeW58AJCOkDr7n7sePnVQ+0/GNu5jkgVUd14/aQYpvWNnBQQFKqmdw3Yo91K9/FycR45TZC/D1dZXOKMM4aQ5SsPBxml/+Sqf07mrX5LE2ksdOLlzEyaLAsUahbs1nhMITOHNeGWF/E76KmeTNu+94pOwTsXx+KudeNqh5Hc4YJ81BguMv5EjCxmenOsy1zSXJSVU41gir32rBSW0CoH5bmMlX3cT8pb8Y4tyNLMyi7xyl/OYPiES0yxiZQ4mKn4/XhHh/ZWuH9a5OLMLO154h2nio64sNfcY4aY7iL51Mc7QiR2rP9jxYYIdplpkc3pu5aW35ArTs3z14WRsFmOZuDjP2S7egW386tI5qhwif9wOsQL4bcbtiJq1bdiHWmoynO4k4RROnDnImRzbGSXOYsgX3c6TuZz2f2BUSAI33fF4XWCVnUHDJz/F7gtftVNin4mSUMxSmL7uPQGHJSds0dMY0d3MYy/YTuvAnfbvIlw/tIix9cNBIm7LuvST1+4XAtJsovaOe0qWrOzkoQLjsVGbd/kPsQMjVFBILsWxm3fEjZt76g77l19AjpibNcQrO+XtSn75O8tOVvbsg2XdxbVWl+WiK+k9jNByyaCqKcf5Cf7fXTPv6XYybfyV7V/0JXzDMxIU3EB5zSp9tG3rGOOkwoOjq5RxbcQWpQ2tRhYHoora1uDOOUtEIe1Y+x/Sl36Vo/JRurymumkZx1bT+z4yhA6a5OwwQEYqvX0lk4j3dnnfi6xp1lJamFMlk969xVCGepooiPj9H6taddH4N/Ytx0mGCiLCvrp7mo6mM704dp/NsJLGEVBLefrmNhoNdL0JSBw5+lkz77FA0ofta1DB4GCcdRhSMq2btKiERdyc5tG+Oo7Q2OzhO55o00qqkkrDuL1FS7TWq2GAFEH8hDn4++Vhoa3GP2cEwZWeey5ia2YNdPEMXmD7pMGLyom+w+XeP8tbLxygbCz6/RSqpNDU6BMMW518W6vCz6ziwe6v7qkSAxgaH8ko/geqrybvgEZzWg9hlM5g45Y+0Pf+vJCOtnH7FEmYs+e7QFNCQEbNUbZjR9Nk21j7xPQ5vXEUyFsFJfBHcaMxYizNnB8gvtGhrUbaui/N5vdvMtX0wd0EBY8aVUHzDm9jFVUNUAkM7ZqnaCKVoQg0LfvwSAE2f1rHyritIRlpIRlo5cshh9ZtRkhn0xfx5eVQufojwjBuxQmMGOdeGbMjKSUVkFvAUEMKVSflHVV0t7gjG48BioA24RVXXZptZQ0eKJk7la7/fSf26d2jev5OGje/RuGsTJZPOonn/Thq3rweEogk1XPzD5eSPz7x0zJDbZFuTPgY8oqqvichi7/MCYBGu+NgU4DzgSe+voZ+xfH4q511OJZdTU3tHh2PRow1oKkG4rLKLqw3DgWydVIF2WfNiYL+3Xwv81hMle19ESkSkUlUPZGnP0AdCJeVDnQVDP5Ctk94N/I+I/BR3XLE9xHJXCvbGSQ2GPpKtgv1lwD2qukJEvg78Bri8LxkwCvYGQ/dkG1XtGFCiquoNFh1T1SIR+SXwZ1V9zjuvDljQU3PXvIIxjCYGK6rafuASb/9SYLu3/wrwDXE5H9d5TVPXYDgJsu2T3g48LiI+IIrXbAVexX39sgP3FcytWdoxGEYtOTXjSEQOAz1Enu0V5bgxaYYSk4eht5/reThdVXuMUpZTTtpfiMhHvWnrmzyMbPsjJQ9mFYzBkOMYJzUYcpyR6qS/GuoMYPKQC/ZhBORhRPZJDYaRxEitSQ2GEcOIclIReVhE9onIem9bnHbs+yKyQ0TqROTLA2T/JyKyVUQ2iMhLIlLipVeJSCQtX08NhP20fFzllXOHiDwwkLbSbE4QkbdFZIuIbBaRu7z0Lp/JAORhj4hs9Ox85KWNEZGVIrLd+1s6gPanppVzvYg0icjdWd+DdK2c4b4BDwP3ZkifDnwMBIFJwE7AHgD7VwI+b/9R4FFvvwrYNEj3wPbKVw0EvHJPHwS7lcAcb78Q2Obd94zPZIDysAcoPyHtMeABb/+B9mcySM/hIHB6tvdgRNWk3VALLFfVmKruxp0JNb+/jajq66rHI+m+D4zvbxu9YD6wQ1V3qWocWI5b/gFFVQ+ot7BfVZuBT3BXPg01tcAz3v4zwFcHye5lwE5VzXpyzkh00m95zc2n05o2XS2dG0huA15L+zxJRNaJyDsictEA2h2KsnZARKqA2cAHXlKmZzIQKPC6iKzxVlcBnKJfzBs/CAyWzP4S4Lm0zyd9D4adk4rIGyKyKcNWi6sAMRmYhbt2NYtoRydlv/2cB3HlZJ71kg4AE1V1NvAd4L9EpKjzfx/+iEgBsAK4W1WbGIRnksaFqjoHVxnkThG5OP2guu3QAX+dISIB4Frg915SVvdg2AmRqWqv1quKyL8Df/Q+7gMmpB0e76X1u30RuQW4BrjM+1KgqjEg5u2vEZGdQA0wEOvy+q2sfUVE/LgO+qyqvgigqvVpx9OfSb+jqvu8v4dE5CXcpn99uyqIiFQCgxHheBGwtr3s2d6DYVeTdof3ENr5GrDJ238FWCIiQRGZhKu9tHoA7F8F3A9cq6ptaekVImJ7+9We/V39bd/jQ2CKiEzyftGX4JZ/QPHWE/8G+ERV/yUtvatn0t/280WksH0fdxBvE27Zb/ZOuxl4eSDsn8DfkdbUzfoeDMZI12BtwH8CG4ENuA+nMu3Yg7ijnnXAogGyvwO3P7je257y0q8HNntpa4GvDPB9WIw7uroTeHCQ7v2FuE3JDWnlX9zdM+ln+9W4I9kfe/f6QS+9DHgTd63zG8CYAb4P+cDnQHFvvpe92cyMI4MhxxlRzV2DYSRinNRgyHGMkxoMOY5xUoMhxzFOajDkOMZJDYYcxzipwZDjGCc1GHKc/wdJUgHFOBcZTwAAAABJRU5ErkJggg==\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "a = 2; b = 0.5; gap angle = 180° :\n", "\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "a = 2; b = 0.5; gap angle = 90° :\n", "\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "a = 2; b = 1; gap angle = 0° :\n", "\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "a = 2; b = 1; gap angle = 360° :\n", "\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "a = 2; b = 1; gap angle = 45° :\n", "\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "a = 2; b = 1; gap angle = 270° :\n", "\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "a = 2; b = 1; gap angle = 180° :\n", "\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "a = 2; b = 1; gap angle = 90° :\n", "\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "a = 2; b = 2; gap angle = 0° :\n", "\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "a = 2; b = 2; gap angle = 360° :\n", "\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "a = 2; b = 2; gap angle = 45° :\n", "\n" ] }, { "data": { "image/png": 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fJ7/1IYK+49jxHLEmB9ofwMy9HorZPaY+/n0ezBKQSqlpq5xJzJjmFRFLRJ4VkTuLn5eKyEYR2SMi/y0iM2Y7Dj70cfKb/o7yAqRBRUksnU+kqQbp24rRp5rTSUAWhiapcxOotUAq/JElTPwOtEDN5eTM7YkxxiDRJFZdK6mr30F8bj1iqTAt7PENELjTzO6hwbtjJOqryhnNTJrNHyOsDjjEl4B/NMasIFRVvzMTJ9H5Xtzt3514Jy9NtiMGTj34LqSPYHSAQQgFbbL3SDEzxfDtiYIZBPc28B8ANQ8ibwl/rOVUFkwrnLOVNk6HkeN17KXvB39G5vH/xt36Y9DFZPE1K6DtSsQ+GYsjAO++4nLIKmcyMyK8IrIAeANhjV4kfN1fT1j6BMIqgW851fMYL0v/T183lT3xu/fAivfA0rdCzVJQFoICtRqsi5h4DKoYK2x5oBtwwZwIBVh3h7HFBsqbxDZYN4B9fbgy6aS8SBP1T8g8eTvGDRMLOI01I6upgmzlQ6dEAfwnTrGNKqebmdK8/wR8hpE5kiagz5jhSdUjwPxTPUlm41+i+6aWOlUl6xFMWK1gOL1TEDplpI3Q7K1EAHhMOOXjPxsuWAgeHn1WQqG3Q6G1Wosnt8F6NTOzrFCBzEO7V6AStWA5qNoWVKKVYQsg2w5+FlNhaeSUMPtBn+pLoMrp5JSFV0R+A+g0xmw+yeM/LCKbRGRTV1fpvOUQOnOMwgv/zpQ0mOWQWPeGCl8qMN3g3MKpmbIdhJFUPiNCrsM2rVcXte3oPi0E+y2U7/+QOZ8CtQpkRfj3GOvAAnUhOG8C5zqCwSPU3vAhYuddi8SS0HRxmAp2iIO3w+BBTNH8nXA6rRL+z4qhnlXORGZiIPZq4E0i8nogRuiO/SpQLyJ2UfsuAMo+BVOpEmiMZvDhT1Yeh4mNROsxQRYr1Up83c1EFq6t3GNJhNqQRioULzwF8kVtfAVY4wpymw4qCq+1buz+RoPeC/ogEANrdRhaWcSqT2G0Ibn+TQQDJyDaAItvhY6HId8JQQ76d0BqIYg6ybS0GvyHwH5rGGtd5YxiJqoEfg74HICIXAd8yhjzHhH5EfB24IecYpXAzMOfwj94f8Xvk9d/DVs/jOXtCIUy/wRmMIHULB23pxA6q4qhgGol6JkW3iLBRgi2AArUMrDOKy79K4cGnR9RtKa4qMBaGf6UQUUaMG54gFVbFOp4C2Z0PaXm9TOQDN6Afw84b67mgD7DOJ3zvH8M/FBE/gp4Fvj2yTSicyco7PpBxdQ2IGQe+AMAVMyh9sIlYVX6o/djlv824iQYqjQfaj0X/NtBrQDTUqHNmcDAUJZKvRX0ESA9we7bwawEfyOYw4RCvzTUyFLm36QWgFUs3j3UhF8I6xYNYU8nz9VEZELz2Vo4Q+1VmQlmVHiNMQ8BDxX/3gecclZyPXAIrMgE609HJZPLewy8cJD6i5cBCjI+NF8f1u4JHid80IsPu94DvHiq3ZsihnC2bCLccIqGQYZT5Og9oA+DuhjMwbBig1oI1rkgEcS+AfxHwlS2xoBlh9px6EWXOYKpO2eKNZQmIXgUuBasU/Y7Vpkhzng7SDWsgGDqQRY6O1TPx4A0gJoDwS5Ky2qeifOYg5T2qwD6STDHgL7QWz48D+sCheFZZhEL6s8d0dRdGyHIYaZx/yqjIXgQ/AMz0FaVmeDMF95ILYn1ny1jAlbueii8CupeBe4dhJ7hk2EoWKOkV8ByQv/cTBovU/EIB8BgaMb6GxgS9mGHVNurofF8UA7Gz+K98D3cw1swvVvDH/8Up3/0Y+BXI7DOBM544QWIX/L/UfP6742rf1tBcyqBSBLmfQDhUcLpnFOhQggm+xhZtztTTHU6Jyhm4RhrTQSZPtwDW/B1K2b5+9GtbyJ/8DBOfnMYLnn8cdjzPczggVPrpr6jWkb0DGD2LEwIvLJFwkqI1aHWfAVhF6e+GGAiYTJMKTHdaUGBcRl9fbkXHiS76Y7iXK9BnBgm8Gi4dDEy3tnX/ivMOR8MzeyTxX8GnMtP/vgqp8ys0LwAQd/uqcXbui6YyeoLNYJ9LWfm5VtMvoghALN3+JMxhujK9USXrwO/AL6LyQ1iR8HocvfBQP4UM4aY3aAnc8JVOZ2ciU9vWezmC6e2o5/FTFpYOg3BUUbqBZ2exfIh0w2OELCuKK5WmtqxIoKKpUi+6m04C9YUtxq055cPzjAarBkIuvDvAm/fqbdT5aSYPcI778opzVuqeARxuycJB3TB7CEcDw95bU8VGfVjE2ahjDP9F4OE+ZvtVxfbmMaRTpT4+dcPf9Z5Dz+TD/M7D++kIN6GRGqn2a8KmA0QnKZAlyoTMmuEV0SofecGJuyyQGJpKxx7CLQbLgM8mZjekyIB9g1g3wTOOyBya1jYesIXQ4oR7W8BcbCuLlZp+DkTBnVUQGJjBT69/QhudzoM2kKF2TIX3DLtdickqBz9VuX0MWuEF8CpW0T9h/Zgz7+2/A4Gsvs70bku2PtfwCSpT2eUTDinrFpHwgjNROeOh4sjIm8G61rClLMFCB4C/z5ORnCN71HYvyUM1nDC7JQm0GRebGfgxSys+l1k/k2INUOZRUbODN4MJK+vMi1mlfACWLF66t58O7XveIRyY0Jd8AgG88Ne15cOBabofTZpMANhidAyfTAGCsejeF3bMNotlkTJE5rwpxA8YtkkLnotje/9W9Q4DRxduZ7Tkc1jCKOfw+ju09Z+lVJmz1TROOzaxWNDAYfQhvTOI8QWFogtDUoC84fM6Olr5KJZW1EjmrBAmOliaG7ZGA09z0OsEeJzEWVhjCa7+Zfktz4IvoskG6n/zc+j7FN3mokI2A7GGLQ/1lwXOwIiGLcfel8Ii46nlkDdylOaMioMZjj08NPk+weZe8lumta8C4msPsUrqTIVZq3w4qQQJ4lxS+vyGF+TO9iJfvjfSL7m94cF2AQ+5I5BckHpMRMKtYA0hWNavR+CpyjVkKboBAvGbqtbASqCFDM85p69d1hwAezGuTOacsbrPEDmyZ9CbmzBbnffs0TnL4IjdxVfeAbSh0DUcFEyY0wo2D3Ph+VQa5ZC6xWINTZBvPYDdBAw2N7J/R//IjoICFyPbT+4mxU3P866T1bHwC8Fs85sHkJEiL/6byrvoA2F/Xtwn/8h3vHdBP1H0IcehCO/BG+gxJElIhNoYwkdUWKB1FPZCzzWChARjLYoDI4El+S3PjwsuABWw5wJl+0ZA6Z3J2bP9zDpwxXmbUO8zoMM3P11gs4Dpd8d3Yk59lCxYkTx2o0PyQUj133iKeh8MixUFuSgbycc+BlG6zH3SyxFtquHJ778bbxMjiDvgjYEBZc99zxB965qCp2XglkrvADxNe/GWfHWCfdJb3qagTu+Tt+P/g53/1PhA3v4TvDTmMDFBIUpeKR1mM4m2I3J/wLT9xSmbydmzEqn8rfS9zRPfOk/2HvfBgCMN7biQtDTHmq5MhgjeLt+iTn2YChQR++B9H6MKe9Fz22+C/wJwha9yqGixgTQvWVc4TWN8QYJ0u1jXmwiQs38NhqWLSrTjuHYE1/lwK8nSRJY5ZSZvWZzkdrXfovC8ltJ3/vbVHRQFct7Fjr7cXvSRFv6iRT+E+M0kz82QGTNa3FaFk9wlhowPqb3Nmi/h+H53I5HMAvfgCQvAusSCO4tPdQYOp7bScdzO5m3bjV2/TL8Y/shFmpQ78hO/N4O7OZFiFLDxcEMCv/4PlR2FxIvjoe1B0fvA4mEyfXssYEWwUDlNELh4T7W+CqJ/bsxDWtDoS1rvpuy3mkRYc3bbsKKRrjgfW8kWpuiZ88hNn/zh0Rqa0g2HeDIhrtYcGWldERVTpVZL7wA0eVvwL/0E+Q3f6XkOxW1sZtqcDv6CNKh1vP7MuQOnwDZj867+ANZam/+fbDsMQI0jH01JuiC9vtKHWRH78OseTditUCQxOhB/FwBAxitefjPvob2fCLGIv+H3yHaEWDrNnSji3tNDyYZsO3rX6Xpde+j9YJVWK5BsnFkwXoGfvkJGtYvKb1g44aaeJzw2m3LcNM9xUwcY3FaahGrTOXArichUg/JhWF74+LHBQORGsqRbKznkt99O3YsFO6mc5bwmr/+I+78H39CoS+NrWxu+ObjNCyvViE8HZwVwguQvPxP8A7eR3DiheFtkeZaEsvb6N+0F3TRIWUpYgubiTSlMH5A7kgPXsde+u/8KvELb8SqaULiEVTqXEQawLoYVAwyG8vXAdI+FHohsZDeg0ksax9P/v1/oGyLrm170H4o7K9y5xE5GoAxCILqjqLuaubh2gNkBg3qif9NvYlyjbsQtepcYt/5LUDhDWRx6pNjBU5sGDf2NQbiF92Ed+CZcEmkMaGfzbGpu3AJ4lgVQiWD0A+w8oNQfx50by5qYB2ep34N6c5+auZFxxxvXB91qB+1Zu6Y5ux4lJu+8lk2fOlbdG3bw6/+4FreeucxLOd0hqC+MjlrhBeg5pbv0f+TmzHZDrAUyRVzMP7Y8WHNBYuxYg6iwjFqauVcsraicPww6V9/BwBnyWupff2nho8J+vbgd7yAlc1hxcZPqxiwWsl3tnPfR95FvDnF4JGxdXcT2qbOREMtVkQMOF6Eht4UqDwLghrOCRoRBKmvR6wI0aXvwr375zi3JjCOgAMidugtj88BGkFqw4gsqcHqvo26i5eS7+gjyOSxa+PE5jSEVRQmwoqFHYrUw9wbwD0BgQs1yyAxj5qBPIVn9hM9dwFYCrwAcyJN4c9ux7piGZFPvw6xRiyW1NwWbvrip9jz8X/luX1bOPbkXSy4+tbp/0OrTMhZJbxWzULq37uZ3N2XYiUVKEGckUt0GpKoyIjgQqiJ44tbKBwfceZ4Bx/E69iI3bqOwbt/C+/wr0NtJEKkuYbkyrnFcSlQMBTeeyv6cIbXSCvPZDvG+K7qdJQL3RZUmQAJFYmy3l8I7ignUSyG854PYHJZ1De3Y44nyT+dwbrMRhoVelcWE7TDb79I/Pr3YQqHoOdZyO0Ny5tEbOILm8Jrm3KNogIc+Bm0XhGOq5vXj02dUxfH/PvjFJSgzp2HOdxDsHEfBIbgvu3w8ddiVOit9+7fjv8vD2FOpJk/p5a2lhUMHvsCpq8eqX/N1PpTZUqcVcILoOw48XWfgeP/Gj68AvFFzeSP9ZJY2oZYpQ+02KO0qRIiTXEKG97N4KCNyYxyAhmD2z2IXZ8g1lofprSzfKKfgPyfQ6rf4Up3PvdH9pNXASntcI27ELuSUz9fWutXXXUd1uVX4v7oB3DsGGIMZCF4aFSiObqRv/k1es31yIm/KkZ2FYcFxb+mFYRiAozbg8RawmFA0eQejfP2S3H/6i70C+My+FoKtEbEJnh8D96XfgmFYl/b+7GBVrExe/8UzvsxEh1rZlc5eWb1VFEl1LwPgBqZi43Pb6LuoqWoWPn5VJ0Pp1dULELDZStILm8jvqQFvDLrVbUhd7ib9Ivt5Np7wigqB+zXFCvyAUuCMLXsiqARNc1brB/5Nab7BMFdP68YvCGAcQv4P/1LMHnGD8QnElxjTPmpMWPQe34Ag3sh216yj3XJ4jBLyXgiFkRsTKDx/nPDiOCOwvuHPPkNPeS/+86K/aoyfWaiYsJCEXlQRLaLyDYR+Vhxe6OI3C8iu4u/G069u9Po17K/BcLH2hiDsosOG23QQbGKgDZh4P7eMMeV8X38gTxiWShLlfXaAlgRGz+dJ3ewi/5n9lE40YufzGAsjUJIWAnseIq6SN30b7DjEDz/HKZrkmV2bgHTM9G8rRnztzGmmNurvHCLCGIKmK4n4fij4+Z7QRqT2L9zFUTt8O1hKYjaRD77+uExtemukOlEg74dsoVt9N+2boYS4lWZCc3rA580xpwLXAH8oYicC3wWeMAYsxJ4oPj5JUNq1sPyf0FiKxhjAyohu+84hc5+8sd66N9yAL8/TMpmfM3gziP4mdCcjTTVlMbyKyE2v4na8xaBMRgvILupB/PD4ghEYJGX5DcKK2icsywsfj0d8nncL/0l9E2cpSLAYFZM7d83FD02eprI6FINLCLh5bp9cOgOTP7EmH0i77mC2Dfeg/WO9ajrVxP99gewrw6TwoulkBWt5bXnuUlBAAAgAElEQVRzjSBGIf0Wfsd+cg+9b0r9rjIxpyy8xphjxphnin8PEpb5nA+8mbA6IMxQlcDpIqkLkFX/icTXDitRESHSVENmbwe5A13o3Lj1ttqQPxYKTmJZGxKxwwey+BNf1EKkMQVKcOpD01wACQQJFGIEjEayWdi/P4x4UtO4zUEAvT3gl5qfAAaDj+aIGmDbi8fxC+XDJcuazsVry+w7TvbIieFprLLkOmD/beF88ijUqjlEP3I99i3nITUxTLaAcX1M3kOdO3eMtSILFdEvJIl9MUn8y7XUtC4i9uO5+F/fjLvhF5PfiyoTMqMOKxFZAlwMbATajDHHil91AG0zea5pMfdDyP5PDn90GpKkzl9M3+YD2GXugCl6f4NMAYyhft0KjB+gonaJpxoDMji2ERlW1ybUvPMXwv69nCoG6JcCzzmd9Ko8PAi+q1n/m4uQchpvFPljvWT3Hx8zPC4c6aZm7SKcupEMJSVBHH4OInUl7dnrl2J6MwRb2zE93fj3vwBHT+D8eQzv7/PgQvSTCSQx0pZ1sUPEF9z/BPfTf0L3PyWYu/7Gk74fr3RmzGElIingJ8AfGWPGvK5NaHuVHUBOtUrgKVFzOeFi95D9T/fwi7/cyYGdBXq6fAb7RwXeC6iog9uXQbseJjBo10PFxk0xieD1ZcLFRLYm9/Zj5G/pwp+bw4y+VNfFTCa4SkF08gXyJhHnqZreUHCLOPEoZpL0s0HeJbu/s/Q/YCD94ljnVInG7n6hZPw8vG9DEmvtPLyvP0r0nRlif57EnucQ/XwS6wan5OmSiGBdboc5t3zY/LnfwsuUrgqrMjVmqri2Qyi43zfG/LS4+biIzC1+P5cK5fiMMf9mjFlnjFnX0nJ6ageJKFj6dwAEvubp2w7h5gL2bPPZ9HCBJ+7P8dg9OXKDGjJC4VgfwWAeKxkL1wfvasf4QbgUzg9CJ9f+4xgdTqmYuS4kNabVxbuph/z72nGv7sE4OjRzl2TIv+k4QZ07VrABbAda51R0jo1GBYYV170DFYniJGuxonFa1yxFqYmXFHo96YrtG9cnyLmVF2ek90DXUxjXR3cOYHoyoZmcc9GdAxQ+cRtkXYJnR8x81ayI3BqDcu8jIcxbgGGBG+fok/dMet1VynPKZrOEr+pvAzuMMf8w6qtfEFYH/CKnWCVwJpDayzGtH6L7iX8i8EYe9qEow8yA4cn781z7pjgKIb+3n2hjPfFFzeQOn6Dv6T1hmKJlYdckiZsW1IY4us8nWJIlOCc7VLAeBIJFOUw8IHpfC8pXBBpUvzPKpC6STEJPd5iydjJ8j5WxRSz7yL9TeOAe7IVLSJy/FvL/yERZQyaLsHJPDBBf0Fwh0YaB7mcwwWry7/tWOBVUn0ASEUx7X7iLrTB5U2Jyj9fiJjDovQH44dBiZaGW3J33wQ3vmPzaq5QwU/V53we8ICLPFbd9nlBobxOR3wEOAi/7f0jm/g9M8DWcmMLLlWor1zd4hx1qn25GXCH/wwzWZTFSb1mA1zeI3+9i/TCK6Ve4koNAYRFFnXCwDsdxb+weEQAbdItLkPQwEYO9PVW+U/19U7+AICB44F64I0s0l4VntuA+ezfRT9sTVt90mmpgT+WSL8b18Qdz2DWxMUODUXtAawppTmGO9kFfFtM3qmyKr/F/6qK3BkT+MI5ER8VAGxPm4NNgcgbvOyMmvyDEN27C//X92NffNPX7UAWYmfq8j1E5OdINp9r+TNP65ieo/cV8ug+Vz+0ce7wRFYyMIYOnfYJcFu+SASiA7aeGk2gMaVEJFKozgpxwMC2j5jC1QCIgWJXBfrq2VOsSmo/ltleke1SydM9DLA2eXd5ELaJsC7shid9bOg+bWDGHSHNNMRqtzKqjItK7hchfvoHCH/0EBgulZrgGvTPA++88zttiYcZbF7w78pABkzboHUFpApLAx/38JzF//WXs61/7EiYMnP2clRFWE6EiSc77g/8qq6nq4zZRM9b5I4HC2pEIVyUZwKlgnhpQvaURXP7KDLrVxTR6peNdwESDstunit4XTCmNTmrFXMSxRl6zSrDrk0Rb61CWhSg1cTaRridR/i+I/V0tzle+hrr+pjC6ahzBYz75T6XJ/3GG/CfSBA/5BDsCdH9QuayTMXif/xS5d78VU2GKrEoprzjhBVjwqtdz6Uf/acy2eFK4ZF59+XStQ9OhBqSnQsoaAVPnD+8XCrqgV4bZNvxzM2CNFVIjGu+KPkw8FGCDgUh0Sp7nYXxwb4uFC/QnQEVs6tctJ7liLvGFzaRWzye1Zv60NZ3YYK9xidy6ndjX4sS+msJ+7bh7EgBpM3wf5HyFtFhlh+VjrI59e8j93vun1Z9XMq9I4QVY9dbfp2HlxcMPVKpWYS12QY0XMEMwPw+eEHmwqayJG9R4FK7rQbe6Iw+oAJEEzoq3he3U+biv7UY3uhhl0DU+7rW96PkunTWDPOIc5jm7k031A/CnfwHxqZcjkbYbYM1PwG6ceD+liLbWEV/UjF2XKG/GT+b11gF67xcI3OPh2uS4YL8xivXqCiMwA2ZjgNkSlJZILsfW58n98R9NYccq8tJVFJicdevWmU2bNr1k5zPGcN9r53OiEDqaFq2wOS/SSGRLXSjEhtBz3JbH6oghfjGGd3gFj6BTPoU3doJtxr4KPbC21mKua0MP7CvNwAEQgPQ5OHc2s8vq4ZiVZlB5zFl/A1cctuDA/op91xh2WN3st/sIxDBv/VrWvyVGvGZq/8/soS6UbRFtqx+JTdZ61MtHioEfiqGBqjGCn3bJHeogGMxhjCGxtJXYnAZMzqD3+7jfzM9I8UT1jvcQ++RLGlF7xiAim40x6ybb7xWreSGcyrjx7oNcJSuoSylWr46iV2XIv7ED9/JedMpDPIV9JDEsuBoN1oiTyV+bDs3h8XdSgXU0gnrgeEnWCwyhPOTCeF+aPM6Req6153NzfjELN2xH5sxjIhfy83Yne+1ePNFoDEc2beX+f3gerScW3qGXdaGjj+z+TvLtPeHctTF4/VkyB7uKy5bC4BQ3HQeVKt4vg52yqVk9n0hbPWhDdn8nfjoPMVCrbeT8malXrG/7Ptn//NaMtHW2ctat550uluOw6K6N6E+8l52/eIRVzXXEsFAdUUSPm6fEoOfnsI6PmLSm0SvviBFQaRu1IwIB+JcOhN5nIRRcBaQ0OpHHXVQIHWIKJGMx56FGzJOPV+yzwdCu0gRiRm8k0+PS8eIA81aXhjMOd2tojFsU8tyhE+QOjXiwo/Mbh6eLxFLY1iBGj6QSEBGwhMSiZgrH+yDQFDr7SS5rw/12LjSPy9wLFNMvl/yNr1JYvIzotddPvu8rkFe05h1CUimW/OvtuMvOId6eYLAdtKZkTOgnPHAkNJGHjj0eKX0oA7B2JpGCBcYQLM5B2sLalcDeUBfe9SGvtSJsLwLYYGoD3Ju7MTKxBp2nS+eNjYGOHVMLN3SaUmVXTEWbx1YPFFV+IssYgzVqfbQ+GIQ5pi9QdFoZAjQ+oVVAg+B8MgYnUZgw+MzHMF51CWE5qsJbRES46p/voVtyZJRfNvuF5C1Ut0Ph+m5MLMDYGntnAlw1MlYs/na2FjMuGsG0elAfEKzOoheXLp4fexJAGXRboewU0tBY97gqv3ZWBxZIlMpT7yGJpW1Y8Wi4WspSIOFSRzsVm/C44W4qQRe8MPNIWx0yT+G8J8qjA4d4It7Or6IH2OJ0stFp58A1aegH510xnE8nRoeZT4n8Z6sOrHK84s3m0URr6jm6rAV7/0HmkCwVYB2uILIOxNC1PupEBClYRO9uoXBjF9TpMGNj2oLcyLHRO1op3HgCkho9P89IsppKGLwLB4h2NUMwVgg1hnYrTVb5ww61IZxElMVXXws1rTCwiYk8R8q2qL1oCUE6jy542LUJKJf2tlzvTNGZZ1tEGpLYiTCzZNehDFZEcfMnV1M/L46bDdj7w07m/yyOF8mDV7xsa6zTbzLMY4/gP/gr7NdUVyCNpqp5x3H5P9/JiaiLS0BQ9LLq4hysQiEIzvbaMKJKC3qOi3vTCajV4VjWQOSB5uH2BEH6baJD26yicI+W3fFybIFp9vDPT2PskQCMQDRdKsugcocaHybVHOVNf7aG5jmHYOAJytcFHisoIoJdEyfSXIuKNyDJ1WjPRwcjCzAKnf1lF+2jhPqLl5JcMrLS04kprvv9FTTMT4TrpuMWS7fV4KDC7gw1E4zc06kGqLif/Tj+U9UyKqOpCu847MYWbvzxdh6NHmaf6qNf8hyXNBrDcclwV2QPuhjSqJtc3Ot6MLXBsFNGuh0kq8ZoFDGCDFhIv41kLEy/GiuwQ4o4IHwBCGCDf8Eg3pV9BC0FdINLbm0/G532kj5HYsJVb2smv/sQ/Zt3kDvcWaamkQXOnMoXPvejYAKUEy59FEsR5N0wm0iZ6UQRCfdTI1k66ufFsWwVrrYCzFEdatsyWKjhWJap4n7mY5gySfteqVSFtwzR5jlc93v/yFb7BIfUAM86nQxIgScj7bgyogn9c9MlQR3jPdTDBELk3ibUi3FY5JbeeSH0Wg95ZovbgqU53NefoPCmLvoXDpYEgCkF174hDgP9BJkCOueSO9LN4I4j406gIbq8YiSW3v9XkNtNGOIcCqSViKILHoUTgxMGbwyZ2jI0N+yB7gggKhOWG1YIPeTwp1qTOJcj99u/Gc5HV6kKbyUa3vNhrlrzG3SrHL5ottjFRAECx1SaAI1JBCV3UDe7Y7zRQwgCFgQXpsceE4C1O47zeH04Tq40BJQoR3bpElUVS4CyGJ76CTth8Adyw7m4QgykHytJLDfcvC0lSweHBNhJxSDQZQXYaIPXl8E9MTCcVkeigunSSJ0g81XZp8xg6JU8j0ePstXu4oRkS3cqx8EDFL78V1Pb9yynKrwTsPjffkLqqpvQGPpUfliwnnOOM0ABDkZLQ/4E3NcUF+LL2DFdsDRbKpwWBIvzWHsTRO9qKZ12KprTssVCjpb6F42WkhiQsB9Smp8LmFAVlm1GUFGHwRfbCbIFtB8Q5Ar42QJBtkDfpj2kd7WT3tNB39N7KJwYwAQGkzXo7T7Rj8ZRq0Ymwg3go/HQPOMcR4thv9XPfqtyJsySK/jpj8h9/pOT73iWU/U2T8I1X/wJO3/yDTZ/7RPD3t06HSOCjf1iFG9JHtPoF8MppTjN41K4qYvoPS2IGfV+rGR5mnBcTEFhHYoTLM2VHKNXZ1mzBuoPRYjGhFzGcHC3Ry5j0LpMnIg2WFOc9gGKtYRN2VxYxhjwAwaeOzCyUQliWxhv7Jsjs/sY9roE1sVhGhyxhejHE5i8ITjkU3jG49COfrb3n8AnQDRYCB4BLgEOamoe6AfuI9i3F2vZ8ilf49nGKzq2eTqkOw7y83eeQ1I7XO8uHp5GMhiCeXncBVnsrENw/iBEwNobx3myfjisEkDX+BTedHzsK9MH68UkkafrMWLwLx7APz9NsfGQUc/y0PhS61BoNz2UJ1GjOG9dpOg8Igy2aK0juXwCB9U4JspjZYwhyBTI7O0YrrRYESWkVs4lUgz2CHNGg5f38QuaSMxGLCF3xOXYN3uI5Szq3AhWsSDMtJLURyLE7vo1qrZyRNlspBrbPMOk5ixm7gXXcaE0YY32JCPY7XHiTzUSNBQYkjTd4JVoWjVo42yoB0/CHx9URxT72WJAh2XQLeNM3XFKaEiwlBJsW1hzSYT2gz67thToOOxhN6RInTOPxLLpJescdjgVPcej8zqLCHYqRu35i4jOqZ+soTGpbodSDzpRm2RDFDumsCOKyE8DFg7W0OImiGBjoaZdXQLXpfCx/zm9Y84iqsI7Dc5776dpLZSvVQsQ29CE82AjeIJJBWGUlDV2jGntT+D8qhGyCgZs9LwChXd1ULisF781j24rCq/HlIanNXWKJefYeK5waLdPpK0BpzF1Shkphmo8jW9DlCKxtJXU6vlDW0A5JccO5bOG8CWjrPBn6HtjDCZfdHatTpN7xzF0onKe6onmgs32ra9Y73N1zDsNWi+/kR5bEfVLHxZBIBBUr4O9sRb7aDwU4niAjniIq5C0jb86jX/xwEiIYF4RebgR1RVO4ai7LPzFWfSaovd1XBRVyXkVrDw/MqzsMjsPk3MsatYuxE7GptLEtBClcOqTWKkYQTqPXRvB7w+Lk4ltUXPugjHj5koRW2qphRsbwL9kAByDXpBH9iTHTLWNThE0Ubqg3GuvIvrlr2NdfOkMXeXsoKp5p0nyv34GUFEbSEFh708geSusoJC2URkb98q+MLBjTiEU3GKWycivG4ejtUQLqjuCszsVeqCG5n0rZd4pCoZljZi8AhgvYHDb4ZFx7En4NYy0TDi369QnsesSpFbNo/6yFcQWNoUa1deYQA9HaJkySxRFBKkX/AsGhxdoeBcPhhlF7JHYKxk3PKmogQcHKfzPD+Bvfnra1zmbqQrvNIkuXob+0pfDed5KAqxVOE0UL84D+4JqjxCkPPSCwrAalLSF6o2EnuahYxEkZ41NtzP8tUJr0NqQTesJU1cZbYadS9M2oaMrUWu+hViN5eXeFIWrOC+sbIvYvEaUpRjccYSBFw6S3dNB77P7yezvHC5wBmACjZ9zcS8xEBvVeExTuPU47pW99LQMEJxEXi/3Y7/3ilqBdNqFV0ReJyK7RGSPiJwVqRFqrruF/g9/iDx+uOStiLE0KIO/PEP+ncfIv7WD/LuO4a/KoPocglXjAhE8gQpL/8SVMRo3FCKNKIuBPkMkKhOmew1r7J6Msayg/jVw+G/ApIfHqMPNao0xUGjvxevPjoxhfU3NBYuJLWgMhdpW4AV4x/vI7D6GP5gjyLnk2nvY/P1d/PIfttHZ4Y1NHmCBuyDH1mjXmPs6Vfq9NLn77jyJa56dnNYxr4hYwDeAm4AjwNMi8gtjzPbTed6XgoW/8yme69xL8he/pE0nUXGNvzaNZKyxY1oM/kWDOE/UQXxsBkVT72Mcg4z31QRC5L5mjG0ovPMY2CNyKATUNahJ5VJsC7cvTfZAJ9G2OiJNNRVyMpfhxI8gGGAoYmS4siAQ5Dwy+zrCImyWIt/RR/5Id6hdh4RcCZF4NFwUDbjdg7jdg2EbxqCMwS3Ajmdcrrgphu2E16c1dBz26Tmh2ei0c4U3n9HzZUfVAIt1Xfk8Ymj2W330fvH9rKKPFW/44NSudRZzuh1WlwF7jDH7AETkh4TVA2e98AJc9Llv8lD/rTz91L3c9NYoSkm4emb8XXUM/qosztO1BAvzECk+kALudd1E728Gf/RkbnGMFw+K2SzHr+qp3CfDiLDlD3WDMfj9Wdz6AaJtdYhjY6WiKMsCHFBx0KMX8GsIypcXFUDFHVTEJrv3eDErSBkNqQ1uZ/mIKREhkQr7l8saHr4zx9yFNpGY0NMZ0N8TCvwJK8c9ai+tOvRcH1cZAgy9QZ4L/dYx00oGQx6fQ3Zobm/88h/QeuFV1C5YWflGnQWcbrN5PnB41OcjxW1nDZd/+psk2xZz4lgx9jdCWdeuiQahM+rhhtBc1oS/46GpLQiHJXz4hpO551RFs7oSxfRTaDcY46jy+jKkd7UzuPUQ/Zv3FU1hb5zgTo53YnCk9tFE+bIq1UYyhkN7RkwNHcDRAz77d3nDgjuEL+Ha5XarmPJH4IA1wE6rZzhLh8FwVNI8GD00vA9G8/x/fGFa1zUbedmnikTkw8CHARYtWvQy92b6xJvm8Kbvb+PZb36KfO4/iMXLOIgMqAEbQbDaY8j9Teg2Fxm0sA7HER16UueY1NiVgr7C2p4iWJOeVvYJEaviAgQg9Aj7AeJM/99f6OyfWGgnwBjDYF/oaLv0mijJlKKnK2D3Vo9CzmDZEEyWHlZgl91DvypgoehUGTwp9dwdfvh2cj3HiTe+fJVlTzenW/MeBRaO+ryguG2Yl6JK4OlGlOL8D/wFG+6psCTQgDpajDN2DNLl4GytwT6YGN5fEBwU9ji17Txbi/1s7fQWvmLAmihxu0Gsk8vyOFkd4PHE5jdRf9kKGl61ipq1C+nsNKy/LkbLXJtEjWLeEpsrXxvHiYSC60ycO77YCeiwMhy1BssKLoD2PX72jpXsufu70+rvbOJ0C+/TwEoRWSoiEeBdhNUDzzqcZC1r3vcZZHuyZPyKL9j7iwWsA6G3LsNxSZdMNQmCxgwnb/MI0MqE4+TxytyYCvOwQuyijyLWBFJgGHYmTZfo3IYpe7EjbXXEFzahHBtRglOXZNWlKSx75PgwzBPmLw2tAG9UdKjlSMXoEmVBffPEj6/2Cjz9Dx8l03l4wv1mK6dVeI0xPvAR4F5gB3CbMWbb6Tzny8na932WA9sM8mI8nAIxIH020XubEU/RZWd4rPYgj7sdPBM5Tm5cmgmDQTe5bFlwlG3RLrZGujh0xZGw/u/o/YpCazRlBNiQ3/Z/iM1PVV5VJBTX+k5iNtffwnjpiTSkEFsNtzMRiSWtY9YIDyetG4dlCzV1ox5FgSXrG3n7Fy9i7Y2Vzd45Cy2i8Yk7ob0CL3z3byfu6CzltM/zGmPuNsacY4xZboz569N9vpcTpRTn/OARDuyrY8fjPukBDQMWJh5wtLmHDZGjnMi7BMaQJ+DRyJHhLBImGlB4Yyfezd2suEZY8Zsec1/nMmdlaN6O1rQjWSsqBGC4fYhdeZ5XRSOopiuh5b0w79OVLygyF+LnlmyOLWiaPIcelK0LbCVLXyhBYOjvNdhRheUICy+s54r3LMEYw/Lzo0TKjAB0AH3dGrcw+XjiwF3fpv8vbkEfH59dZHZTjbCaYVLzl3HJ3dtY++nv8fRDebrjWfLXd7OV7rGWqkBWfPZZvQRoClf0oet8xAHHCQP5a+sVvmfwPUMhVxojXClyShyLSEOKStKlIhZWsAuCHmh8Q+WL6fwO5HeXbI7NDRc/TGY+B+l8iWUQX1haT8myhKUXxLnsNxew6uomLnnjXLJdWbbecYjt9x4jVVf6mCoLautVWcGGcOy8aKXNivMc6loUffaT9H3nCnQ+PWGfZxMvu7f5bKXpkjfjuYanHsxX9qIKbHO6edHu5TULY8Mrb4bQGjqO+Lh5TW+35vz1MSLRycebyRVzEMsi1lZPJnO8xDusfU32wGGi7p1Yjb8BqfWQLhcXbMCUZuMQEWpWL8A9MUB697Ex7YttkVjaSqSpJlxWqItrAiVU1W7XYFmtHbcD4l43tS2Q33UIMMxvhoO9QnrQoKyRqjEiYDuwcLlDJCrs2uKyaKVNXaNFPmvo7QpYuz6KCtNRs3S1E16KZMne+TlSb//6pPdwNlAV3tNI66U30vnMryad/vBEV4ghhsHe0DRcuTbC5kfyvOqmyasHOg3hksBIax3eQDYUGAUE4Ul0tkA+V6DQ0Uus72PEr/wO7HkfmKnGBStARmnfkc7XnL8IKzaUgTKMZfYGc/h9GZzGFG7XwOTmtgAIg30B7Qc92uZZzF9is2+nR2ZQ09RqsWy1g1V0dA05u4ZYuNwuthO+6EY71gsd30c/oKm94RtTvNYzl6rZfBq57m9vZ9Wl9bTNV8QnsTIPHzIE4zSkAY4d8uk4EhCNC5EYpAemUPBn1Ng4tXIedZcswx61xnaoceNr3PadZJ7+OtS+ZhpXpoEAUYrUqvlh1QUR7LoEKmKPCcMUS+HUxskf68WKTWUeKCSX1Tz9UJ50v6FtvkV9s8UlV8W4+pYE514aJZYcdY5RiQRG/5RFwNv1Awp7fj6N6z0zqQrvacRyIlzwp0+x9rI4V92c4NU3xyt6aF98JseDP89xosPH9w2FvOaZR/O4BViw1CYSFS65KkYiOfm/rNA5MGYlDwJ+T/mxnvF9gqO3QeFQhdYmNtMjDUkaLl9JYlkriUUtiF0qoKIUDVecg4rYOM21U5pqOrLXH7bG7YiUnRbLpStYLBNRPHX6vt/FBLN7BVJVeE8zdt1iIjf8mH07PAb6NK3zLERg8UqbVO3IQ6wD8F3DpocLPH5Plgd/nqPn/7X33mFyXFXe/+dU6jA9OUkahVFOtrJtGedsjEEm+wUWs+S1YYFlSS+/H8u7C4sxu6QFXpYFExYbAwaHdTY2zpZtWbZyHo3i5DzTsaru+0f1xO4eTdJoJNfneeZRq6q66lZ3nb73nnvO9zS6lM/QWbLa6utNhs6LsxE91Eb3gVZ6ar3ymz3763IOVfW8AKGqIojvzX6AFuZEsyvRNILTijEKQkiOUoC9PWHe3AqM/GC6t859zkRcoVzPMZVfqGXV1WprypTCHTk27fe/faxvnhL4xjsJlJ59Octu+jqaBsvWWixdazFnoUm0O0uiugZWQZBAxMAIaCxcbqKPwGAHYadINTWTONZK55Za7PYcmsgCoVll6HkBcmruVNwEJW8b3fWHQXRvqJ23YBpGcV7O4yqqdApLNc69LODpUg/BcaC91Rk+LfIEuHUv0P6na8Z+glOM77CaJArW/yPVkiL+6neYNU9I5qgBplsaqzfMZNqSAtqPx+DwkVEpYWhhC7Mwj2RTByqLXM9ArPIC9HCAjDIMA0nWQevEzg+Trd1Ea+qH7TXLp+uUVeo517I1gapqE+WCjKOet9PwCt2v/oDI2s+M/SSnCL/nnUTyzvsKwXVfREQIBIWC4swKCZomVC7KRwRKZoZxDXNYOZrBbxYClUWE55RTuHY+WnD4bAbluOlgDxMkWzSWDq33MFqh9hMRP9qS23AFtKDZN0XIuZateeGRI5lGnIjES/+H1NGnx32eycY33kkmtOZz9FrsqgsCFBQJuikYAY1QocnlNy9ENzSSUYcHb93BK4914oykorzmVTYIVhYhulcoLDx3+IwaN5YCqwrm3kpm6QcYfSn7EaAX4/b6ibIZpgKzOA8xh+9Oh/Uoj4Gup4eJNJui+MPmSUYzAoQv/neiz/wDgaDG+VeF0OdUgW5SOC3Yl7Wz6e7DdDbEUQ7U7ofnKn0AACAASURBVEkxd4k3RNSNzGGknhcgMK2IQHlhX0iiiGAUpNeEdc2L+BjS2+mzNiBLfwqA0iLgtI/hjnQwyyDVzIiMveqzGBXfxa5/CT0vkCnirglWaQFOPImmG+j5QdxogkRT55hTEU+ICIZeh3J6ED33PHyq4fe8p4DQWR8if8MDSKAY1wE9GaNwume4SimS7d2YiW5mzDbQDdi/PcWzD8XYuTlB47FMAzEKwlgDDLcXlbRBILJ0ZtZ2JA892b/e6Yyw0BeAGJ4XWoIQnA8zv8yIPUdHv0XeBV8DM4xYJlrA8H5c0jV/rfICjIIQ+YtnkrdgGqEZJYTnVlK4Zh5ijGNyOxxKeeIF269CHfv+ybnGScDveU8RVtWbKLj2l3TefwNudyytyAjdu4+Rau9h/jITx4ZFK0xefDxOPKqoO+RQVJr5ACcbOwjNKkNJf60h5bgk27opXD0PsQwK186np6ahf71XE6xIkuRr/0Dq+NMEzG6M8AiDKJQOKg6SB4WXwdFvjzw6S4EevZei1XNJ1DdizCnFjaVQSRsjEkKPBLyRxYC5rOgamngJEbHaxpFdBzAKw5iFYdyETbK5E3o1/ZzMUYgTTeDEU+jNf0AFFyCl14/4OqcK33hPIebMizHnrMep2wTKk6pJtfeA6yUhGKYX2rdklcXrL3iSsTMWR8AZ7KpWjkvn1lryFkzHLPTyhkXXCFWVevuVQguYfcNOvSBEeFYZGLoXyigv0LW7nuC0Yq+YdhYGi6enr6+6oOH20Un1KAc6n0czXUKzvPYRDqJcl0RDB3rYGmS4vYimYRbnEavt3eDFUSvbyer8yls0A6skApqgXJfQ3PJ+JUyV/sy21PYXSnMVqfZubBG0nv+DuXYNEpgx8vs6BfjD5lNM/pvvA8sk1dFDsrU7Y14nmlBa6fW2q98+k7K1szLOIYaGVV6Acl2caOYaVK/RBacXA162T9fuY3RtO0T3bk/YJLJoBt17j+OmMh1XdnI4jejUsJI7WY/P4Wp24kkSTR1ZhQaUUrjx/t7dyA9RtHY+xecv7g//TOcZG4VhrJKI57gTQdN1L9Za09B0HS09/I4snUlwVlnfdCN6oIGemga6ttbQdd/5uKmx+AAmD994TzGimeRf8QO69xz3erBsa5q6sOItM1hySSWI9CfZa0JobgWFa+cTqirFKo6gBUzsLAYMoIXSw2JXeUPHdBHunpqGdCFty9OowtNndh0X13Y5tqNtBFPabJ5fA8xpIEOH49mCUzTCs8sx8oIk6rOoV7rKW2Lqve855X3GqYcsIkuqCFVXgOCNPobI9Qx18mmmgZkfIlRVQsGq6v7jXU9YL9XaTeK5t6DcqRtC6Q+bpwBG1bsovPBpotvvzRqQoRvCWddMB9IPYW/vrAlGXqDvIQZvuKwHTJxEEj0w2GhSae3kXrSgSWh2GUYkBJqGWEGScYPu148iXd1olo6bcskzdCAzD3fAHUCgChKHBm8OVEHhVdD03yP6HETX0MMBEs1d3j2mh89uyiHR0I6bsjGL8wjNKsPI78+uSnVG6d55NP2TILhJ26s1PMwacK9vQHQNDYNAeSGJhgE9rauI7tmNq/8NeRffNaL2TzZ+zztF0Jf/ELOoIGsHZqTnscpVuIkUTiyJBE2MgjBGJJS53qlJ9ugqoe/8WsCkYGU1VmkBesgCgfxFlYSX3Yh0R9E0UCmb5roUO16K8tp9R+lqylGbV3QILSGjL0gcgcZfgcoRTpb1VBpWeRVOwQc8TWktD9FMAhUFFK6sJrK4apC8j3Jdz3AdN+2IUiSbOrOuAefS/RJdyy4Z5Cri2x+j/e5rR9z+ycQ33imCiBBY/2s0yxw8dNaEcLWnqimaIKZB4dp5hGaVIpaedY6Kq0h1RL3SJE76z3Uxi/vzEoNVJel5oPRdH02Qtnv7Yom3vZxkywsJjh1IseepRh66dRf1e7LoPIsO3a+RGejhZtl2IgzM2W/GmH8zLH8I5n0XqfoISpl076/HiScHj7pFMtIdleNm1coSkawjG+W4wxYNdxpfJrbv3lHex8nHN94phFa0joL3vEJw7hL0/BBWZRGFq+b2leoE0EwdzTIIlBUQmVuJE08NLuTlKpTrYscSXomRAT8EbixJeME00Lx581AZVxFBswwQRWebQ/0Ruy+6S7ngpFxe+t2hzN5LTDAnSh/ZhrZHYcfb4PiP4dh3ofUhUu2duIkUetAa1G4RIVxdkXGWZEtXVqfX0KGNUgrXdnBSqYx58kCij38YJ5G9CsSpwjfeKYaeP5vwNc9QuHIxkQXTvCHtELx4ZM97ahaGSXVGcWJJXNsh1Rmlp7YRcRRWSb7XW+taX11dzTCQoImbSOUcQmqGQXtLdvdytD2Jk+qdc3vDWubeBkUXjfPOBzyKKuHpa7XcDbE9kDxGoDxCML30lfHOgMFQR1+yrRtlO96fUn0FuLPpTusBk4Kls8hfMWfYFrb/95qRx5lPAuMyXhH5jojsFpGtInKPiBQN2PeVdGXAPSJy+uZdnQJEdKj6/AiP9SrRd2yuof2lfSQa2rHbewhUZEZceQ4hi/yFM4geaEClnIyHUUQoWDGH/Glhr/bSEAwrPdQOLoY5/wLLH0DyzgYJML7HafjkB9E0rOK87BlWSqFZutdzaoIeDiCWQfsr++k+UE+yuZNES3YxgoFzYyMc8KK9cpFso+fFr4/kZiaF8fa8jwNnKaVWAHuBrwCIyDI8gfXlwLXAT9IVA31GiJS+BYziER9v5Ic8R1XKQSUzjbLvvLqGHrIQQ6PjtZoMY3BiSaK1jZSWwcoLgkSK+h8R3dJYdlUlBJfCgh8hBW9CtLR8Y3CuFzZ5MhHBSTp9vWjfZk2jcO18CldWU7h6LvlnzcZu7/ECX5q76NlbhxkJ5nRi9Z9e+gNHhl46vYaceP0/SNW9NIE3NXbGZbxKqcfSwuoAG/HKmYBXCfAupVRCKXUQ2I9XMdBnNCz6b06obJ5GTG+ZRdkOgenFOD2JwVI4eJ5ZzdD7HVm2S/urNUTTBbCdeIrOLbUkmzpx4ynKKzXedFWIkukmBdOCnPPuWSy9rBLXKRwUwK+UDU1/GIWA3RjRTBzrElKJioyVYm+dOoAetLz14CHedi2QmR6plEp/Dt6Pnes4GAXhLNeVQemVnfdtwE10ZR43yUzkT+WHgd+nX1fhGXMvZ1x1wMlAzBLUojth7/864bGByrQMTW8t3d5lEcerXii9OqhA7HBzX1igStrE69qwu2LoeYEMg9c0uPCdZUQWeaGCynGJ7X0K8+wB4ZIt/wPdmxiHJs2IEGwCxiaIVEPph+HY9wEbhTvoJy7ZljlEdmKJQY4/AFyXnv11GPkhlAI9YKAcl8D0Ii/YpSMGmpBq7cLpHrDc5SZp+8Vcij5yED2QPZx0Mjhx3IzIX0Rke5a/DQOO+SremsAdo22AiHxcRDaJyKampqbRvv2MR0JzoOyDwx7T3ZLg2f8+AqL15fJqhhcSmOqKET/e1tfbOokUifohYX9KYffEsTtjWc/v9HgPbm+yQ3i6hrv7E6hYWveq7VEvUWHUNxdIz5VHUQKRFMT3e7389L8DtEGGq5TKumYbrfFGF32lYpQC0XDjKVIt3YSqSrDKCghOKyZv3jRCVaXkL5uJE43n+E1yaf/1WaNo98Rzwp5XKXXlcPtF5EPA9cAVqn8CccLqgAPO/zPgZwDr1q2bOq68KYRUfRLVfAfZ8mVdx6WppofSeQWZ79MEsyBMz+FGlCa43TFSORw3CEjAhFgi82HVhURjB6nOKIGKQoxIAJXYDns/gpr5pbRI3RjQ8z2nV/sTntTOiIfdCo7/CK+/yHxkrOJ8Uk2D16PtTm/dW9MHaDoLnoGm14SHzoldx/UEC3Jhd9Hx4PsofMudI2z3xDJeb/O1wBeBtymlBiaE3g/cKCIBEZkLLAReHs+13vCseAqvcnc/ruPipBQ7Hq0j0W3jZImqUo6D6kqQONREqnc4mW0a7Sis0oiXMzvkIXa64tg9cU+sLmilM4wAHDh6K2gmo+s909jNcOirozTcXrInOIgIgQUbiLz5TiQyEzQTLX82eiQva9y4aBpGXqYzy1v/PXGAiX3oEbqeGtnKwEQz3jnvj4AA8Hj65jcqpT6plNohIn8AduL9PN6ilDoJmipvHER01FkPwq4bUXYz0fYkjfu62f5YHV1NCeLdNqs3VA1K3VOOS/z4gCB/1/M295UgGYipEygrwCqJ0L33eL/iZLogQqojSqLOG25rAYPIohnp+GIXul72POP2yHNt+7Bbc9ywlTboMQgzl1xPoGA9gbleWGOqbiPRJ96fXTZHxNPy0ob0Y64ifrh5RFdM7vwlzprPoBdMbnH48XqbFyilZimlVqX/Pjlg3zfTlQEXK6UeHn9TfUTPg8W/BBEaD3Tz8h8O09XozUdTMYfH/2MPHXVxlKtIxR3qtzYSOzL4AVTp+N8+NEEvDHvpgumH2+4YMPdNH+r2JLz3pVPzOnccwbV7w6/UyJU0RnSjJpRcz0g97YMwSiH/PJRrk6x5kO6N3yC27RfYne19CQu9KNfzNg9d2+3dnmweuUe589EPodzJ7Z/8rKLTDDHLYOHtzHb+lkObWmnc343juGi60FWf4OHv7PJUOdKC5RVVOmefG8DMD+BGM4uGAeTNKe/L0km2xUYmNasUqZYuApVFno3lvwnaHhqb42oo4bMBndGrVlow68vgJOi493qctj2Q6unb27XjCJGlVX1lV5xYku7dR9HzgoRml3mRa6ZOqr2HaG3TqDSz3KatdD/+UfKv+eUo2zx2fOM9DZHwEvQZt3Dxx35M88Fumg/1YCdcdv+1ATvR/8C7DtQfdmhtiHLFx8og3prjgexdXgI3nt3AM0irUXhvt6Dq06Ci0P6kp5YxHuVJo8wLjRwBiaZOYoebcJMOEipHP/gtsApxWnaCM/iHxE2k6Hy9FmXo7N+epGqmEMoT3ISNm0ghpp5boP6EuCRrH8Vp24tevGiM5xgdfmzz6UrFu9HyFlE+L59lV0wjr9gcNCQcSDIB255uRzMzf6vF0NEiXsCFiJc7OyzpgmJGQQizJIJyFa/86Siv/OALJAtvgSW/g+p/haKr8ZxYAqGVYI10PmhA51OMZK6bbFP0HGjyFDZcF9XTgH38eezahzMMdyBOzKanNcUzD8ZoPG7T1G5wvDVEwirwQkp758bDJCpkRTOxW3eN7j3jwO95T1NEC6AW/hx15EfQ9kfyzERO4wU4vquLCz5wFl07jvSlEWqmTv6yWWjSb7BGyCKRo+q9URgmsqQqfX2vMqDrKNxkB8XWI0Rf3Ii59AZk2k3InItQs//Je2PXC3DwKyO8M2dksjpGCdHjjZC1WNjwhi8adKQTL15/IYmmJVGqE9Fh1tlFrLw0ghtLomxn8Pz/RNg9uLFWnK6j6PnZFTsnEt94T2NEM9Fmfxaki4DzQ6rmGhzZn/3Bd23FU7+o5cIPz0VPO/61kIU2xMtqlRUQPdTUL8wGnuzMvEqC5YWDsnKUUjgplyWXVFBQ6S23qLYHofOvqEW/RALeA6zq/pMR5/VqQZQTJXakGTeRIm/+dG8Nus9TLGDNQi34OS33LSHWYVNcphEapnqi6/ZqbHj5+of3pYhF08Ea6Rx+UN7K17YO5qwuoijs5kxmyIlyiT7zeaKAVjiPwnc9gRYoHN05RoE/bD7NERFk9tcAkwXLzb4RnxWEFestLtsQ4tzLAhSVajTVdLP1gaPoIcvLvMm27qlrFK6sxiovQEwdsQxEkz7RtqHX1jTh+V/XsP3R+vQ2BW4MGn7df2CqYYR3Y4DreMtS9e0kGztpe3kfieYub1QhASi+jsS0f+Ohj17Epifb2LEpwbMPxdi7bfBcXSEQLAM9wPG6fGr3uRw+YPPqM3H2bs29pmwnXQ4+dWSwJM4IiUddmuttYj0ubkcNbb+/dNTnGA1+z3uGYM2/Dnf3PRgmWEFh2RqLXa8l2boxiWHAzPkGtu0wZ10Z5CgV0rtGrAVMIotm9MmkJtu7SdS3YxXlkbF8owlOUrHz8Tqq1xaTXx4EXOh4BrXrNbBmQqAaotsZIoEBBZdAeBF0vYzq2YHgGZVZECJ/2Sw6t9SC4xLde5yoplH4zicxylew+VsfpevovkFBFLV7UlTM0CgqNbyeVg9Q/O4n0PNnkdfWyP3vX06qZ3DUlWFp2MnMWG4rOKBP0yz0ynNw6p7P+dkrpejpUjQetTl6MEU8CrMXGCxeVUts792EFr0r9xc3DnzjPUPIu/gHOC3bWLxyJ7YNm59N9Klg2DbU7rGxAlBYkT2aCAVONI6bdDy94zSiCbplYrf14KYcNK3f8JVSaLpwzT8u5eW7aqnf3ZU2XsDtgmQXJI973mgJ4s1nk14Sf3ABVP8zKAdV/4tBdX1F09BDJkZ+ELsr3ruR1u2Pc+Cl/+DQX+7CtQf3nq4Dh/bamGdpdLbD7JvuQM9PR+iKUHXB9dQ+9jsG/oBMn61x7KDLwOVZzRAWXDwbIzgfFASX34TSLHrqNjKcBz1SoJG31GT2IpPuDpf8Qg3Hgc6HPw5WKaHqy078JY4S33jPEMSMUPiel5k285fs+fktuFmWSJMJeO5XB7niU4OXMpTjEjvcTKLOi8YqOm+hl9iQNtKefXUAdO04TGRJFVow0Fd6UwSskM7698+lYW8nfSFZgy6QhPDZuIEVxLb/mVRzHVpBmHDoebRIKeKkUJpwaHMr2x+uJxV3mLG8gCUr9AFtVDz73W8Q78q9Dl1/XKehXrH6E/9KPBXk+Y+/ifYD23Dt7Mtf8ajL4nV5HNgWJxl1iBRqLD83AK31SNVM8q74DYk9d5I6/nzmPQ387HuVO0XQdUVBsTZIyKDz/ndifGQ/Zt5wCpyjR6aSrMe6devUpk2bTnUzTnue/PgC6vYcybpPBN773TV9pTFdxyHR0EHsYH9oY2B2GXmzygDPsNs27h10jsJzF6Gbg90lTsoFqwKxu9H0LMs0Rhntmw/j9tTRVybQCGFUXUSkoobXH6pn95OD58aGBZe+NYxhGezdmqJmR27Pr2YFWXvzbcy65AaSna08/Ik34cRPvGY7e1UR695ZRc/22sETAk0DLZj2aMW9+O0xajinUopD++Hc7x5DzBMncYjIq0qpdSc6zndYnYEs+sCtWatngtdp1W5qwUm5uLZD5+u1fYbb+0Nud0Rxogm6dh2l/dUDGecYGgYM3vJLomYnsdpDmSIACI5bhBtrGWwAdgz72HN07DzG7r9mOrXsJNTscmhSV3BwV/beUzNMwuVVXHbrPSx6+ycIlVSy6/ffx81VvXwIR7d18MzPDmR+Xq4LdrR/vXgc4usCRDsS1D3w5TGfIxv+sPkMpOqid1I0/9u07d+adf/GOw6x8Y5DzFpgsGSlhW70D/tcVxFvjOJ01eYMD0w2d3re6AFWLECypRM35RCYXoQeMBFdo/VINw37ExjhSooS3ehDhdCdJJ3H7Zyj0vojLof2P5w1blhMi2t/9iJFc5d7bXccNF2n61jNiOOMXUfRVpcgGQ9hBcZf79cTQWDQsFkEmuodijf9DzPe/sNxX6MX33jPQESE637xCr+7pgQ33pPzuLJKvc9we9E0QdcUyhmcQdfbK4sIPQcb0YIWRiTY56Hu2V+Hm7BRSvHanXuo2ZnCSTuDRdPQzXo0SXD+lcFBa7J62XLCoQ5gR9Y22iqMk8wiuarpBIvK2fitj1JYvYzGLc/S03CYYMm0kX1IA5izyMAcYYHE4VBK0dpkEwjqBEPpfA2BLS8mcB3IK5nYNV9/znsG07LnNR75+Pqc+xeebVK92MzoDR1bZRg1DK0U6JVL0UwDuyfe10sf2Jlk37bcQ8yyaRrrLgnhuqCZIQo23ItRuoxHP3kuLfv3j/zmcgioj4XLNoQIBCduBtnR6lC7J0kiDu0tLq4LVkAoXbKGinVvY+HbPkagMLvQHfhzXh+gdPFqrvrRUzn31+xK0XTcwRmqW6UPVlXsJUNpIp7C7ooNGl4f2Dn83LClwaXhmM3hAw6HY1djTjuH+i0bT43hihDME6zASMxg5EPqwhKd6bNNUkmFFRB0HWxbp+71V9n+m2/xwE2riLXUjb3daXzjPcOpOPt81n0me7V3x4ZtLyXY9FQC1xksgZo1cf0EeAqMJzoGXnsuwe7NcY6kR1mbf/KlEV9DdGNCDDd/WiFnXVvFpX87K6dzrx+N0YoCVFQZXHBNhDe9dQ6BPKsvoMRJxom3NbHl9n8ZU7uHtsrnDGfxO/6O/JkLsu5zHOhsczl+KHfscbZeONs2e5QO2fwZcwHoaTg88jeJoAVCJz7uBERbOjEDELRGYpQnyis2cogRuJiqicLCob9oitrH7hh39QXfeN8gXPuzFzEjRVn3OQ40HB1d/u3Qntm2Fft3jDAXGNADIc76oJdpFCjKrDWUC2WncJMjv04unJRi33NNWfWc+8ioK5wLm1zVx5Wr+hIjBl3fTtKye3z+Hd943yBYeQW8/Y8HvGFnFoJhwSrNp2BVNUXr5hOeX4kYOo6tSCVVnw50rl64p9OlrWnAA6zlXsiwispxHZvHP305d98wi+6jo5jvQjrZf/woVw2qnDgULb8K9CylP0dBV4dDW3OmYYtoRJuyCqqOGN9430CY4QgrP/6NjO26DssuLydv4XSMvCBawCRQUUjBijm0NLk880CMXa8lc041RYSCIo3zLg9SPkMH0SjIMUwHsHu6UHYK5bok2hoZfj45/rXXbGi6MO+8UvSgSWhOWVYDdjsPDpvUPxLyi3QuvT7M2osDGAM6eeXYlC/PvRIwEnzjfYOx/MbPYRWV9/1fN2DJaouiRRWDCpOJpuGKTlNHENuGozU2B7Yncd0cBao1QTe8bCYzHKFo/tk52+CmRmMQ43ROiZZ1Puq6ikXnFWH3xJFIIZEL/h6sic+91TRB04WSCp2V6wN9241wPqHS0a9JDzr3eBsHICKfFxElImXp/4uI/DBdJXCriKyZiOv4TAzv+FMtkar5gOdx3rEp6VXZG4JmCJFS74FzHajZY/P43TGeuCfK/h0J3CzZD8GwMOvSGwhXnnwliQENzb1Pudnnowp23HeAztdriW4/QPeL/+llQZ0kdF0ordQxTNAMnaXv/dy4zzlu4xWRWcDVwECX4ZvxhNYXAh8H/u94r+MzceiGwYY7d1K24oK+be3HM4P+XUfRXNuvJtFrA3YKanba1O7N9FAn44qaB3/D7ru+N/ENz0H1Fe9GH4MH+sj+Xve4Sg+PR6tWOXoMA2asOZ+zPjDy5bFcTETP+z28qgkDxzcbgN8oj41AkYhMn4Br+Uwgl996L6J5Pe4rfzhMKuH0VV1IxR3qd3fSVJM9vNJ14eCuFI7d/7XbtmL36yfyBAtimOiBEJoZ8IQBdBMjPPaCXbMu3JDT6TQckxlbqJRCAWedG6CntRPNGH9k8njLnWwAjimltgzZVQUMzEnzqwROQcy8Aq743qMANB/s4aFv7WTXEw3UbGzmxd/W8uztNd6BOezCTkHDUZvOdofmepvmeodFKyzOvypISUWuR8sTbleOjXIdiheu5srvPcLKj3wdPZiX4z3DIRx87A5KFq5CswJZjwiFhfIZOuHIgNBOHWbOG6kBCWgWGKOryTS09q9yPVGEtv1bM2oMj4UTtl5E/gJkm1l/FfjfeEPmMSMiH8cbWjN79uSWi/CBylUXMe2cq6l/5TF6WpNsffB43z7dFN7xzRW0HYvx15/sw0kN7qvKp+tMn2OQiCkCQcEKeJFZwbDinEuD7Hw1wZEDmcs6yrH7er32A1t57Wf/H2tvuW2Md6Coe+Vxrvnpcxx89A5qn/g9TiJGKtqNclIsW2tRNdfAdTyDbWkUtr7kUD47n+qlticUcCL0AMFVt4CTIv76TxipmJ5ywUWh64KdUrQ2OjTXO1j5xZnlVcbACc+glLpSKXXW0D+gBpgLbBGRWrxKgJtFZBqjrBKolFqnlFpXXl6e7RCfk8zlt92XMewUDVa9tQozaFA+L8K888rQTa+yHuJ5qeefZSIiWAMMF/rDK+csOnGQg3JsWvduJlxehZWfPYjkRGimRbytkTU338o7/nSQ63+zhcrVFzNtToAZ1Qa6LpiWoOtCeVWAa7/2JS79yS7Cq29Gy5+DXrKM4Jp/ADPf62GH4sSJv/o9ksefZ1gxeT0ARmjQOQ7sTHFwT5LXX0yw+bkEejDM8g98cUz3mXHfY32jUmqbUqpCKVWtlKrGGxqvUUrV41UJ/GDa67we6FBKjT8S2+ekIJrG1T9+ZtC2895XzeJLK739IpzzntlcfstCyqrzPP+ODRsfj/PoH3tobcr+QA8cpg57fdFwHZvF77h5THPXVLSLll2bsONRuutqeeCDK2na+jwzZoMxJDtK3AT21n+j7faFpA49gTXvreRfcztihLyE+xyRUuDiNr7KcDNlo2IdBe99Hi1cCXoATRdmLwjR3qrR3h4kXDmL1Z/81oR4muHk5fM+BFwH7AeiwN+epOv4TBDly8/l6h8/xWO3XArAnNXFGceUzolQsSCf5oOeE0uliw12trqUVmQuNUW7R+ASEiFcMYu8ytkcefqesSUdKMW2X/0Lh/76RwrmLCHZ0wGui+MEMtIY+3CTOC3bcFq2E9/2s7So8/jCLu265+m8Yw0SrsSa9zbcnjoKS5dx2cduPikVBCfMeNO9b+9rBdwyUef2mRzKzzqf8770X7z07Y9Rv7eT6UsLBylCuI5L3a7MxPj9O1JULzJB8wylN7to92snMAbRMCOFlC9fz54//4TUMMIBJ8K1U3Qd2Ue06Riapph3fhmly8LQ2XKCdypwxx8rPeiM0QaSNf9D4Q0PYFSevBAHPxnfZxBKKZ74x+voOvAsV39uCUZA7xOr2/NUA1seOJ71feGIsPaiAMGwRlOdw8HdKTpah/eoEswaewAAEKBJREFUBosrsWPd2PEeb51WeSlz41nECZXN4IL3RSieFcYM6ESPtRI/3ITrqFGXHhoLjq2Ix1xEEyJLb6D4+l+N+hwjTcb3jdcnK3ddVYhyEsxYXkiwwKBhb1dfLeCsCFgBb44ZCEJHq0qXKaFPDifrmwYaqgiiG6jR5hb2vV/jrPe+j6Vrt2MGBsjGui7J9ig9u46O7bx9aOQK5FBKsW9bioN7Uv3TZoHqq97H+i/8FD3HMlY2fCUNn3Fx2b8/iHIVx7a3s/+5ZnpaEkQKYN7KEEsuq2DeeaUYA6VjFCTj3jy3vUVhBmDRCk9mJ1iSK+VvqL6zQkTzgjfGgGZaLHvLmzCGpPmJpmEVD1xDHtIF60G0kiWet1jPcW3NGraA+NEam9q9qcH+LgWH//onNv94YrzLQ/EF6HyyUrniQs757I/Y8fNPk1+kUVGlU7W2goJ53nKe6yjWvH0mf/nh3ozQSqUglYA9W1KeYg2tI75uoLCU0sVrOfr8/4y6zaHiaRiFi6EjCO5gzWY34XX/evkqAgvfRero09jNWxAjTGDZBxGrALtpC6nax1CxLLWVTjAvPrQvlVVFxE0lOPDwr1n32e+PSZ1kOHzj9cnJwhs+hm0n2Pwfn6c7prPkXeV9Yuu66eXDrn9/NY98J7MmbW8AUVoJesTXjHc0c+zlx8bUXiMvDwrWgzUdEkf6AjCU4xKtbQYjTN7F38GsXEto1c1ey5q303nv9Sg7Pi7H1XDyP25qYh1ivfjG6zMsS9/1KToP7YKWexk6zBVNKKoKoZuSEX01VlTvg67pw1vEEPRgmMXvuAVcBzv8N4j2IpqzBzcWJV7fg1a+jsKrPoVRsmTQ+7qf/BQq2ZnjrCNnxvx8anYmcFND/AKiMf2cKye81wXfeH1GwHmf/zFHHtBR7ksZ+5SjKK3UaG1wCOVpRLtdLyxwvKG7rkOgqBwrv5juYwcyRdTFm4LquoZSsPSKRZSn/kTrf37B26+ZYOZRcP3dRFZnX65Rro3TvG2cDQX0IGf/3ffo/q9f0bjl2b4iaJKu5nDeF386/mtkwTdenxEx48pvknj5cnRT0NJJ+67jkqhrY9X5gT6vsoji0N4Ue7eNfKicC90K8rbfbuPP76jOlEpVMHddKWvfNQvluHRv3Y9Tv69/v5uCRDudf7oSY94NRC6+Dc0MI2YY5dokax4gefiv6RpEYxjWRuYTbT5OT1s3h2pilDuvcdlt99NxaDetezZjJ2IUVS+lYuVFExLHnA3feH1GhB7Mp00+hbb/O1QuzEc5LvH6NuJHmvsCOQwTtm5MUH9kYjSm5l79flLNO1h8yQp2PNhCKtFvZIalMWtVMWZAJ9HUDU7uYbtdcy/tNfeDbmIteAdOZy1O01awexiLzI6rhCfv3I8d63eKtdz9I5xUnHM+832Kh1ERmUj8dV6fUZGM9XDfexdy6dWxQdFX0W6XHa8maGtyRzNVzYmVH+GKd09H9XhBIUrBkYOw53XPYGavLmb9+6tRSZv2zTU56yploFlpdY2xjwx27izh8LbMKoyaYfGeR1rQx1k7ZaTrvH7P6zMqrFAe7/hTLU0/mY6meQbjugrTElZf4Ckt1u5OsX/H2KvqIRoXvn0hqqe/tKgIzJoHRfNmUFhdQHGVl1sbb+4cXTz0eEIhRUesfBqPZC816top3GR83MY7UvwgDZ9Ro5sW5uKbsNMqGgKYlmAY3l/1EpMZ1WPpFwQ9GOaif74LK7Evy14ojsT7DBfwetyTPnjUMKqvI3zhtyj6wGtoVnbJHTOvADOv4GQ3ZkCrfHzGQMnV30FKVnuC4kOmjYYhVFSN7tHSrSBXfO8R3vtIK7Mv3pDzOCeWQDkuruN5tc3isahvjAIjTGjtZym87reEzv4oWqCQ+dd9KKv+9epPfPPktmUIvvH6jAnRdMrfez+aZmRdw4x2jnatSNG2415IHMLpqMkdpugo2jcdIFbbRLS2ie5d4xMuB4FAjop9VgHh9V8jdO5XB21e/v4vMH3dFWhWEM0KIrrB0hs/x8INHxtnW0aHP+f1GTNiRgiu+zyxV749yIAdW9EzTC6vaJk5704qQaruIVKbNxI/1jCs2LmyHRL1beNuf/pskGzP3GzmUfSeZ7Lm4epWgMtuu5/Ow3voOl5DycLV49ZgHgt+z+szLsLnfAkRDaUUtq1wHEV7i0PdoewuZ02DyrmBjBh/TYN8p5GuLXtJNWUppj0UmcB+p7d8ihhEYxZHGqpoK74Z1ygZ9m0FsxdTtf7Np8RwwTden3EiIhS+/3VEBF3zet0dm5I5I6zy8oWlZ+uEIjqGZaIbnuHOW2pSUKiNwvk08RrLSrm8/GSM3S8c5tWf/xv3vHs+bQcmIALrJOEbr8+4MQpnUfSRI4jmFaq+8M0hisuzPFoCkSKNQEC46JoAqy4MsGytxUXXhViwfBTLK2Y+SKbsTk5EB20EBcOUQyIax0nGsWPdpLrbeeGbU1fByTdenwlBD+QRuvA7gFefZ9naAPoQ+9I1mLfEM1LRNcqmB6mqNgnljeIx1IPohfO88McchNZ/nYJ3PUFwzee94bVywD1xfSSlJEOLq6N2F6lod453nFp84/WZMMIrPkLgrI8CkF+oce5lnvi6aUFxuff//KL0I2fkMerHTzMJrf08xoz1XkxyNgJFBBa9i+gLXyP+2g9GF0mlIFI4RG1S10elgjGZ+N5mnwklcvFthM//Om23z6ewNMG5lw0OaOgNxw2c9w0MSRJ98etgR7OcKQtuitir30WsgnSYo8NAzRlj3lvJW/cFohv/Bbtu46jr+LoKugb4yvRAiHlv/iCaMUwB7lPIRBQa+7SI7BaRHSJy24DtX0lXCdwjIteM9zo+pw+aGUbLn5N1X++SUsejf09i/30Eln4Ac+5bMGddMbKTOzFP6ULTsOZvQCuYizn3LeRd8l3chk103H05yb2/H95wRc/0VhshzIoV6JXngWjogRALrv8I6z797yNr1ylgXD2viFyGV1RspVIqISIV6e3LgBuB5cAM4C8iskipCSpp7jPliVx8G53335B1n1dlAeKHnsWsex5Ex1r03tFdQEFg8Y3kX/0LnO5jtN95LtjZY44z0AwCy25CCxTjtO7EjTVjzX8bwWU3cdWNQVzHQTTtpCTQTyTjHTb/HXCrUioBoJRqTG/fANyV3n5QRPYD5wIvjvN6PqcJ5syLCV/wDXqe86KThhqCptGflaQcknt+N6rzS/p9AIm9dw8nUZmJk8Bp2Unkhvuz7taGetqmKOMdNi8CLhKRl0TkaRE5J73drxLoQ2jlzWgzr8q5djvYoEeXXaBwcXoa6PrLJ4nv+CWowd5nx1Y0HrdpPGYPKkPat799/6iuNxUZb5VAAygB1gPnAH8QkXmjaYBfJfDMpvj633LgXyspLFJ94u05S5CMhmAZ0We/lDXFTylFU53Dtpf79aTWXhSkpG8ZSDAq147v+lOAMVcJVErdh9ej/jldRPtlvLCXMvwqgT5pRLeY+7kdxFMhutqdiTFcBLoO9xnuUEEJEaFsuo5j0/e3+bm4lwGlGYgVIW/918bZhlPPeIfN9wKXAYjIIsACmvGqBN4oIgERmQssBF4e57V8TlP0yAyq/r6WzS+bY6ojlp3BhauHMlTNQynoSkwjuPIWCm98Ab144UQ15JQxXuO9HZgnItuBu4Cb0r3wDuAPwE7gEeAW39P8xkYzLFZ/6kd0tmf2lKPFdVxeejJGU112J5VjKw7vHxKBZYQo3vB78s7/J/TImeF+GZe3WSmVBD6QY983gcnNTvaZ0sy98kaaigtQG/8GGYf8RSqlaGtyea01wbI1ipnzTO8HQXnicI2NYWp296f5iaaTVzGbokkShpss/PBIn0mlfO11FL3zYQiWZU3rUwzfM9u24uBur1d1Hdi7NdlXUnTTM3GeflQIX3wbpcvWo5kWmmlRsngtl//7g1N+3Xa0+OGRPpOOOe1cSj60C6d1N260jvjuu7APP4FK9dDRYhPttpk+a7BCh1LecLhmV4raPf3D5WQC2lsc9m1N0drkYuZpzLnkncy7+v0kOlpQShEsKjsVt3nS8Y3X55Qgmo5RthxYjjX7SgCObXyYV//5gzjxHixLKK3sD5aIWWt44f7XsOOD57KiG7zynIam5xEoCnLJN+9GD3jpf4HCHPI2Zwi+8fpMGXQr1D8EfjpBICRYASEaM9lw152U7/sYTVuexY5HvfhjK8gFX/sNBTMXYMejFC9cddpER00EvvH6TBkqVl6EGcrDjnWDUiRiilTKpPzs8wmVVHLpv/6Zg4/fyaEn/0iwuILF77yF0sXZ6xC9EfArJvhMKTqP7OWZ//9Guo7uBxTlKy7kon/67Rk/BB6IXzHB57SkYNYirv/VZmItdWiG9YYy2tHiG6/PlCRUOv1UN2HK46/z+vicpvjG6+NzmuIbr4/PaYpvvD4+pym+8fr4nKZMqXVeEWkCDp2EU5fh5RlPNaZiu6Zim2BqtutktWmOUuqEyhRTynhPFiKyaSSL3pPNVGzXVGwTTM12neo2+cNmH5/TFN94fXxOU94oxvuzU92AHEzFdk3FNsHUbNcpbdMbYs7r43Mm8kbpeX18zjjOaOMVka+LyDEReT39d92AfaekEJqIfCddmG2riNwjIkXp7dUiEhvQ1p9OVpsGtO3a9OexX0S+PNnXT7dhloj8VUR2povXfSa9Ped3OYltqxWRbenrb0pvKxGRx0VkX/rf4klrkFLqjP0Dvg78Y5bty4AtQACYCxwA9Elq09WAkX79beDb6dfVwPZT+Fnp6c9hHp7+9hZg2Slox3RgTfp1PrA3/X1l/S4nuW21QNmQbbcBX06//nLv9zkZf2d0zzsMfYXQlFIHgd5CaCcdpdRjSvVVfN6IV01iKnAusF8pVaM8Sd+78D6nSUUpVaeU2px+3QXsYmrXudoA/Dr9+tdA9tKIJ4E3gvF+Kj1EvX3AkGaqFEL7MPDwgP/PFZHX0kXbLprktkyVz6QPEakGVgMvpTdl+y4nEwU8JiKvpmtsAVQqperSr+uByslqzGlvvCLyFxHZnuVvA/B/gfnAKqAOmJRKySdoU+8xXwVs4I70pjpgtlJqNfAPwJ0iUjAZ7Z2KiEgE+BPwWaVUJ6fouxzChUqpNcCbgVtE5OKBO5U3dp605ZvTXklDKXXlSI4Tkf8CHkj/d8SF0E5Gm0TkQ8D1wBXpLxzl1TLurXP8qogcwCuhOlmiXif1MxkNImLiGe4dSqk/AyilGgbsH/hdThpKqWPpfxtF5B68qUaDiExXStWJyHSgcdiTTCCnfc87HOkPs5e3A9vTr09ZITQRuRb4IvA2pVR0wPZyEdHTr+el21QzGW1K8wqwUETmiogF3Ij3OU0q4imt/wLYpZT67oDtub7LyWpXnojk977Gczxux/uMbkofdhNw32S16bTveU/AbSKyCm8oUwt8AkAptUNEeguh2UxuIbQf4Xm5H09XBNiolPokcDHwzyKSwiuV+kmlVOsktQmllC0inwIexfM83668gnGTzQXA3wDbROT19Lb/DfyvbN/lJFIJ3JP+zgzgTqXUIyLyCl5d6o/gZcS9Z7Ia5EdY+ficppzRw2YfnzMZ33h9fE5TfOP18TlN8Y3Xx+c0xTdeH5/TFN94fXxOU3zj9fE5TfGN18fnNOX/AQVOS/XAzuJdAAAAAElFTkSuQmCC\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "a = 2; b = 2; gap angle = 270° :\n", "\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "a = 2; b = 2; gap angle = 180° :\n", "\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "a = 2; b = 2; gap angle = 90° :\n", "\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "a = 4; b = 0.5; gap angle = 0° :\n", "\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "a = 4; b = 0.5; gap angle = 360° :\n", "\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "a = 4; b = 0.5; gap angle = 45° :\n", "\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "a = 4; b = 0.5; gap angle = 270° :\n", "\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "a = 4; b = 0.5; gap angle = 180° :\n", "\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "a = 4; b = 0.5; gap angle = 90° :\n", "\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "a = 4; b = 1; gap angle = 0° :\n", "\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "a = 4; b = 1; gap angle = 360° :\n", "\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "a = 4; b = 1; gap angle = 45° :\n", "\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "a = 4; b = 1; gap angle = 270° :\n", "\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "a = 4; b = 1; gap angle = 180° :\n", "\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "a = 4; b = 1; gap angle = 90° :\n", "\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "a = 4; b = 2; gap angle = 0° :\n", "\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "a = 4; b = 2; gap angle = 360° :\n", "\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "a = 4; b = 2; gap angle = 45° :\n", "\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "a = 4; b = 2; gap angle = 270° :\n", "\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "a = 4; b = 2; gap angle = 180° :\n", "\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "a = 4; b = 2; gap angle = 90° :\n", "\n" ] }, { "data": { "image/png": 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Ke86V2jmHZPtjaemHYGG4hkGObi2wjCjhXJqfxw7w1zB+0WH0/XTZ63RiP7Q9Omzr11qT60mR3NUJbonfR9iG7X/n9yspvo8D4yX8U/qJ+j1bOdYUtfLJdY9OIeVB7gBk20aIHoyWvuMb5TuSU4EoQyyzkA5CBMyOWkD0mM9qb0GYLgBqD+Xlbc34iT5/D3o5tonQN1yEzqfismaDeKNJT+sp5zcgYlOh5R0QrEMLBy+lcM64BVQpXYkNwsfd8ysGHvn9NziWCo6GU1a557Y/x8DDv1NG2TYKWpd4+XSxFxqA24nWujT7KSxwrjE7pmrDEJ4L/mtlbmyBTo4J3LHeGJf9piHzY4nlM/gey9OvBEQD2FeAvxHU65SaiIi3GnOfVti5LMKyiS6/meRLPwXlD68Z8XmTsSJB+l/Zgbf3YXruu4LaW56osP0nEKcc4We230fyuc9Btmdc7aVjEZgwJk20dimp7HJqEKoHrPrSnQkbrHmg2/PRbkfTlnugB0DXjNi95by88m48WvYTCQWi1nx8ozK+7gRvLdjLQDaCtwojZpSCQARCCCEIzbsAO5jC3f0yCE2gIY50bDSCUEsD6X2d6K5Xye74GaE5t7zB+VUwFqcUq5/Z+hOST/zhuIkeIH7WjIKQ0mFYgVEmuLw5rulC8B8F/yhFJXQP6C6OTbza6ATcX4347ctWo2jDyv/ZQF0p3dcxoVIDJJ6/h967P0/fA18l177V9Dnc//BEQS42STgB1BvNnKtBbwf3biBqov3KQAgxvHtrrbEYINRcQ2hSLdLJhwCjCc+cS2zFuxGWJLny05XQ3hOIk37H124ClepExiaTeuEfjt5YULCZ2dURZKDM2td4kVEKDu42CSzqFyFCDaYDf41RzokSji+6j9JyrgRqgZ5Rg/CApGGP7aXGCmCfBXoBkAHCoDoh9xhYhT+VymWQgVZM1vJCUUW7Wfoe+Ao6kzAsdKKHwUe+SfSKLxGauwSdFqC3I2xhLAxyNqjD4K0GCrP8Hj988B4F+8JxthcQm5rX+OvC48E6AtMuwonBwHOP4ndvNFWAK3jTOGkJX2tNatU/k3ntDmNvFxLtJo56jQwHUJkRBZldHSnf2M9C7RmIujNL9WQIfChsdjREHaVZZQV0lz6u2oClo/owdn4AP5nFP7wVp3k2wgmilQ++R2LlXcSv+jmCNaALiSa7ex06lzZEPwxN8tnbyL7+Y7yuTSAEzrSFxC56PyqxkoGHv0Fw7vmE5q/AipfODTB+ZMAbChA6+i4tBOjq2dD9SqFeRVjQsMSE7k44m9icDeh0qedXwRvBCSN8IYQFrAXatdbXCSGmA3djVL3rgA9qrYuzRbxBZDb/iMzr3wHfaMbHwwRa4SCx2c34qSxWNIgdDZVv3L8dauaW3tVxwXscwybPAWvRiJuvrAXRXEKTfxSIMV5qesA415Aju+1R0mv/l8DMpQSnL0FlEmQ2P4ff14Wf6MSuvRJ0CvxNxg6PJNe+A7wSj9pL4nVtZKgEl7tvIwn/x8Qv+32qb/wUIhRD2AG0UqXFn+NC+7hbikA1etq7ofMlyHZDsB4mLkcE8wuQdEAKsnt+SfLFf0TWziZ67t9i1cx8k2M8fXEid/xPAlswxmOALwP/obW+WwjxLeCjwDdP1M2yr99RFExjxULEFkymf91u8IvNRDJgYcdC2LFRBB9fYZx0oHDH8QY5ekirMn9qK+CCfe7IKXuFMc2p3Xl5v7xNXGMhrFFchWo34bsotJcj/er/gNbkdq4lt7PQxyG391F0tg8ZbsCqXgZ6IagjBKetwd3/emniHy0nKw+3bSvKzSGjNQir9Oughy0fGqSFEBHMq1NOeXf8EOEJMO2G4nsrD3VkIwPr96I9U0TU795I384HiL7ju4RmVWqxvhGcEOWeEGIy8C7gO/nvArgcU04LTnC1XPfQ2pJVW+PzW7Acm+jsScXBMlIQaqo1bHR4EsSmQc01iBlfhtmfNpFlEy+A+EwIVMPE5UVRZqXhg9pFQSouIcGaCdZiyi0eWmtUepDUy4+hvNjQQfBeYsg91j20q2TA0BDSL32egQdvoe/ui+i//12oXA5EGKd1MVZtM9h5hZ20jI6gVLyAAJRXkui1NotPbt9GMptXklz9AD0//BzpHYNouWwcz+aNQWs9/Aea9GtPoL2x3JMm+euPmIxIFRw3TtSOfzvwN8BQKtV6oE/r4S20DWh5szdRyYMMrvws3p4Hi86JgA2WIdRgfRw9s5H0/iM41RGcuhh2LIo18zpjRwbjVYcAbwciuBSsJMf0Ry+LvHONBpXegN/3KjqdxWpYigyXCeRL9dN3722gBIgvE13+KSDL6Nx5whryhiuGCEYILbwcp2Uuft9hMq89Q3Llp4lf+TV0NondNBOVHgCtcJrnEpx/EYMPfb1I+pCRGkSkpsg/QWtFrm0bViRu9AtyLmhNYPJ8Bp/4LO7+J4hf8T7EcEDRiUPhOMBLlue8+u69jJr3v4AVn1y2TQXFeNOEL4S4DujUWq8TQlz6Bq4fV5ns1Cu3k375iyb0dQzsmih+IlNAYKHGGkKNo15oYcGhpyF8K8KJYwhKg1oNSmKYnwl5TqHOmKbGbU+PgJao9H1AEqchiPIkeOvRXgBhj+gJlO+TfPFectuGgm0EInwYnX0ILBsxSiywG2ci7CB6jEurcEJUv/szyFAMYTvY9ZMJti6i/1f/hcp59N//JXQ2NRwmnNvzKuEzLia64gMkn7vH7PzCRwhJ/IoPI0vJ855HZsPjxC79IDIwIho5k2YRnLmY7I6H6f3Rc9iTZhK/4sO/MecaIR2s+mn43WViFNxB+u5cRt3H91dy+B0HTgSrfyFwgxBiL0aZdznwdaBGiGHecjJltD1a6zu01udorc+ZMKGElhzwjmwivfYrJYkeAVYkQM2ymSjXL7L1Dr+Q2jea+q4ROVn7HgNP/5DB5+8iu3cdWh8B60xwloJ9A8YFdxwQ1Sh/K0KkkI6J2pO2gwhGEFKilY/KpVGeS3rD46OIHkCTXvMgfl8HYsxCI6Sk6to/QVTlcwTkg3qCc5cjQ9HhBUVIC2yHyLJ3kVrzZXQ2PfKstAYvR2rtg4RmLaP2A98gdsm/E7v496j9nS9gN0wZeR5ao7XC6zvE4BP/i3d4N+lXHy0ckxPEmXaWaZ8dxGmaeRxEn0/FdZyILH3X0RuoLKm1Xznufk9nvOkdX2v9OeBzAPkd/6+11r8rhLgPuAWzGLyparm5PQ+DVybQRoPKeggpkQHwBjPY8TBQwrU2NtXI8kOQFng5crvWkdv2EsF524hdGAX7UvCex2SntQAflcvh9XXgTJhW3K8+iB7chozHCg4PcRrazZLd9hJu21bc9q3Fc1Aeme2rcJpmkd36PFprQnOXE5hxNnbtJGpv/QdUJoXfcwC3fTvB2eci7MCYe0nsumYSL9xRlCYMwOvuQCuNykoCM69HKAvjKzBqGl6O1Or7yW4diffP7d84MsxcmtTah8huXzV8zE/0oP1iHUFp12bLhBz7T3E8IpUVrSZyye+TevaHZdtk1n0V79DLVL3rboR9FGtNBcBv1nPvM8BfCSF2YmT+777RjoQTPqqSS/tmp9Qacp399K7aTrqjp3D3Fza0vKMot3xk2fUYrzNFdutL+KkO8B4EelHZBNk968i1bQEJTm0LQgh03rdf5TJ4PQdRWuL3txsbe8nxB5GxutJEj7m9d2g3iWd/hNu+Da9jO4nn7iK56ufmeiGwwlECLfOInnsDdm1TcRda4fW0o3ODJiHIGFi1TajBIww89Fl6f3gGfroePcryoZUC5ZPb/WrhdfWTh/sfePB2sltfKLAWZLe8gPbdgmettWbPEy/x9N/fTqZvtOY/l6f349/1w7PPofrWv8dunoMIxUq28dpX0v+LGysefuPACSV8rfUzWuvr8p93a63P1VrP0lrfqvXYfNLjR2DWezjaDuH1pch2DYDv519ghZcOF9rgoy1Fcd9CCKxYLTJiykVbtY3IkHHqye5+ld6f/AOJlXcy+OT/0XfPP6PS/Wg9YuOWgRBWvI7M64+Reu1J8EtHwmnfQyVGuRGP1a5bNn5vR6H5zcuR3foCKlXek27oBdfKB88lu/tVQnOWIgKRfIZbhkUEYQfo+/mX0KludKaXgYc+g9azUJkkWim8zr0MPHi7cfzJQ9a3UHXlR4200LEDf7BnjFMQ4Ofo/+V/4B3aZQp45J/r1IuW0nLeYp763Ojafz6oJzn+kF8Du3oi1df+KbW/+6/Uffg/iF3x0aKcBv7hNSY4q4Kj4qTw1bdizYTP/dxR26T2dpJJ1mDPvIrQwsvxkwnE9FtM5lcrDHYcSlWSEQLtG9bY7zuMdrOobIrEsz8G3zWx4m4WnU7gHdlftP4IJ4jTOAPVe5iBR/4Hr+9w8Y6jfDKbnx91kQXIYTNbcM65UEox5Xv03f9vZHatHWXeGj10w33k9r2Oe2gXseU3E1l2HdU3/hWhM6/AmrgQu2U5yCDu/o1mPsMXpxFWJyqdYPDx7zD4xHcBgYyaYB0RCBNdfitIU7nHHywfvKMGjjDw2Lfxe0bUOHY4yMyrL8SJR8gODHlUvnkF4JAIISwLe2LptNzevsfwE8eRsOQ0xEnjshte8kkym76PTrSVPK9zPuElNyPDMbSXI7L0WvPSTrm2bJ/ad3EP7kRnk/kjApSPe3AHSDlGqa9NfyU04DIUIzjrbHL7N9L/038l0LqIyLk3IKO1eD3tpF78GWrwyMgF+aozgenLiJx7I8K2yW4vnWJapwdIrrwL7bmE5pxffN7L4vceJLTwMkResWhF40SXXQMIs1sfuYDBR//baPoBhKT6mj8CEti1jVRd/QnTVoVQmS60myKzbTVWvHF4vvbE1iKOCYBg1Cj73DRedztW7aRh/YMQmiu/9KlRPhVvngUv0BsoHxGModPFJkW3/Tmsue990/c7VXHSEL6QFjXve47e780tKGwxfD4QQoSMFl7YAZTv4+57jeyO1VhVEwkvuRoZjIzsmsrH7dhB4ukfDPWAVT0RGY4j7NL13XL7XifQMneYwMDoF2S8jvDidxBZei25A5tIPP0DcvteA2HhNM9G26XNTGqgExkIIpwgoTMuJbN5ZWlvO98lu/k5QrPPLXIqEtJGxmqRTimFljZxP3XNRFf8DoknvgOA3TIPEYggBKhsiszm5/C627AnTCO96UXIpUF7hBdeP9yTXddMYMYScnvWmzEOiRDax921FnwX98BmMhufMe6/TtAsGsorUkSWxhTg+IqHyFgdVe/6U/rv/7dCbgZIv/YtVOow4TM/gnDGaZ05jXDSED6ADFZT86HN9H1vLgXbsbQIn33tSKin8hl87Jt4nXvBy+GyicymZwiffS3ugU1gOcjaJmNWkxY4QYQdJH7FhwFwWuYiLKfQfi5ttJtGpQeNfCQttPIRtoMQEhE0CrXAlAVEzn8PzqQ5yHAMGYrSe/c/l5yP17WPzNYXCc2/kPCSq7Hrmkmuvh+dLnaFVelB46e/6Vm8rv3YE6YSnL+C7JYXUMleAtOXDJsSx0JYFoGpZ4IVBKUIzrwMLMeID+kEVlUDma0v4B7YbMyAWhO95PeQdhaT3tsgetH7CTTPJbN9NXbDZPxED+7e12CoZoCXwx/sJrN9FaE55+P1HMRpbB3+Tdz9m/CTvTiNMwrMiMiFYJ1lYvj1rnI/f/G8hMCK1xGcsYTsjpcLn1fXetI9W8ltv5fqW56q2PjH4KQifAArXEfVTb8i9ex7Uck0KudhN84gNPe84Ta5va8NE/0wtCa97qGR7517cVrmEpp7PthBnEmzjD0cQFrELvl9Ek9/D+25gMaZPI/Yxb+L1pqBx76N3TAFe9IsAlPOKBBdhR0gNPs844wzpASsmYhKmMgyGbQJNtYgAjZuT8KYz7avIrriAwSmLwEhSTz3k8KxC4nTNIP+n38JncuC8vAO7iKz4YnhJt7BncSv/WPs6tJ1+9yDO/JZbjSBqVNA+ySevZPc3vVG9+F7I7Z/J0Rw+pICxyMAgSD16iOEF15BcN4F9N37hRGiH4Lvkt3+Mu6BzchINVbdJHCz9P/ya6hsEnwfhCA4cynRFR8wi7W10IgDznKyj6RJAAAgAElEQVTQ88E/kI+BOLY+WFgOzvTFZHeuLRqLIIc/uJfstp8QWvChY/Z1OuGkUO6NhdN8HvEbXqDq7HlY0SDekf1ozx02s7ltW0qzzKPhu7jt27Bqmgz7XqAd1mR3ryUwcynO1DMJL7uJ2CV/ggxMxwpGEJZFZvNKVDmFl5QFuoDYRe8DaWHHw1QvmUGopY5QYw2xOc1E5zbj9x7EitebnXn6IpzGGSN+9nYAEY6jXBedSY5yzCnUrqtkL4OPfNNUrx0ji+cO7mTwsW+B9rCbZoIQZDY9S27vBkPwbqbQOWqUwnM0tJ9DOCGziABWVUPpR9t9ALdtC9ld69DpQZKr70cl+4yiVHlmcdj9Cl7HdqC22FQrGhkP0Q8hOPVM6j/6DcPRADLkULVoGjXnzqZ2aQsc/Cq9d5+Pnzw07j5PdZyUhA8go5OR839A7KylCO3T/8uvkdv3utlVgmNy25ftxMLrLfUyCGIXvZ/oeTcRu+R3jHda+AYIXAlyPrHLPoTdMJXs7leKzFvazeF27SsgPitWR9WNf010zuThWnsAwpIEamPY8RAqr3gT0iL+zj8ifuVHCS95J5HzbyZ6yQfxDmw65nRUooeen9yGGijMQJR6+Rcj48yPK7P1xSK5eBi+V5I1FtLC7+8cFoHCS68pbY0Y7sel/6H/Mk5AYzkDL0du/2aw8wpLnYbcQ+A+knfwKY9hM6ZW+c8OWOdgVc9A2BbVi6djRUMIKRBSEqiLEpmYpO/OZRUbfx4nLeEDiPB0rGl/QM3v/AuRc29AZ5Ooni0E7TbGpUFWHlZ96dghYdkIO4B0QtgNUxHkZU97KTL+Uarf8yixi25D9Q2Y8HbfR3su2QObye3fUtSfXdeMFSoR7WdZhOachUoPDr+UQkgCk+cTPvsaAi1zSD71vfHNx7KpvukOrOopjF74/K79w5+9Q7uKbfGFMwcFmR3rhwlca4V2s6TWPgxeDqdlLiBwJk6n6po/xm6cgQjFsSfPK+zKCaEzA6XTZ0sbET0XZD5/ofccplrQUGmwo0GbpCs9r8Pun6L1pWDNJnLBP1K1ZAZIUaD9F1Li1EYROk3Ptyfhp46U7/o0wUkn44+FqLsFcs8TaDVaap3thf51RGY3kdp5aJheRCiAdvXILmcHCEybj2QA7QbzobRGQTfW1VQIhVZ7IZEDGYbwPDh4J1b3L0FnoTsMoXpU7ccRMkb4jEtA9I/pQ6Ct0HDikJHjDoGZyxFVxUklhBCIUHTcOfesmkbs2GFMrvwpaHWI5Kp7ChtpxcAj3yQ4cynpDU+Mse0Lohf/OYEZf4LX+QqDz36F4MyzQCkyW1/EO7gDEDiTF+SfkcZpmkn19X8BgD/QZeR+05kRt8bu9EOQAYLzPpgfUw70EcYubnrIy0/oQv5NK9hz78izbP83mPHvODEP3RtElFs4pAA3R99d51H/0fErEU9FnPSEDyACF0EuCGxDBGvRVXMIsYPg5BlQvwwRaQBh4R05RGbLC2gvS3DWMpzWs0ai4Qb2QNV0EHZpP/PkZui5D/Ahkwa/m+G8+yoFqRTS/1+CM/8IdJlQ1Qnnw+HnRyX8sMAOmdwAY+APdOG2bQXLQYRiRsk41oxpBwFtWPNghPhVn2AoQYjWbehMPyIQMLH4owjc7z5AOtGLM/UM3P0bEdJGK5/I0usIzf0A2A1GB9K2GXfvusJ7SsuYRb0cXncbMlKFFa9Hu1nSrz5W2LYM0cva2cQu+wZWrHl04xItNaQOQqTJ6B2Ua1aDjicKF9DB1WjtQ2ZfSaLXWqMyLtrNczrZXpLP/x2RC//ltE3ZfUoQPgCBZcb+zH6YdClUz0GEGzH5+MyP60yahTNp1pgLDfutq2eXfQm08iDUAC2XGc5A+3DgUUiNsTtn29D+vqJ4ACNRKUTtAnRsGqQ7oGcjIMCJQv92dPWc4etS6389QkRSgpsz9/eSJuuQHUCGq6i66a/RyT4zi5qmAoWiQCHCcSKLriIw5UwGfvk1RohLgFK4+zcSOutKAlPmY9W0IAMNYM0wz2rKJeCPVZAKrNom3IPbSay8yzwL5WI3TEPG68jtXDP6qZV8logAOnWEgfuvw2paiDOhldzel0FliFxwC4EpC4Z/ByEEfqAB4XvGwtC3FTpXYdKfF/xCkGs33FjB76ZAGY/HxLZRwaECMhu/jaybR3jBB0uP8xTHqUP4AM4KcO9FCNf45h8HxhL9sBLIz5jFwxrlhCIkeup1sOvH4I6yuUu7yMHGoAojv4Jwomh7FsSmw4GHjJa7eg7kFVX+QJch+qEdOr9JWdFGQmd9Au/ww9gNdQRnnG0cY4IRtFao1ABWtKZ4XnYAq6YRp2UObvu2odmBa5SJmdeeJjj9KmTwfJBRk01ITEA4ddiTluN1rSF05mUEZ5wNykP7PgMP/WcBB+F17cMqWiRKPmUQ2ohjgH/wVfyDI0FBdvWEEmKWJHWkm0h9jSnI0flSiX419D4BPQ8XHFU5j9TeTtyeJMKxsOJh/MF0PhWDIvXMJ5FOlODs94xj7KcWTi3CFwKcW8C9n7Ehp28I/dsh0QHNK0qfn3gBtOd3ZmFD3eKCfPFDUX+IHkAU7GQIG914IQSqCzgEb5g4C+F3byY4532EZtVjil6MQAiJGjhC371foO4PvlpMPNLCqmkaRfijO3bJ7tmHjAcRIgsIw2XIacQu+QNk6D2YGoCGm0i99mQxC688/J4O7KZZeF37ylsLhFUyZHgYJS0JgoPrttC9fTfn/eVnoHYx9JSor3j4O8XdhQIgBKGp9YSaaulfuwu7OoIdC+Gnc7g9CRKPfwwRnUSgeXn5cZ2COKm1+iUhLAjcgokEHh9KBcCAhurZEKwuGRIshDCyeeNFEGyACedCw6hahVoZjz5pGxa9FIJ1w0SkvRzpTSvJbHuptGxsWSA0Sjeh3cLdVblZsrvWge+iEiUKYmiF199VegzSQme2ImTOeCHaeccjbzcykjLWjQIRogyUj3doZ3mit8JFvgdjkd21Lu8wNQIv67LvmZfZ9fDzrPv2YyT6pnI8r218bgvhlnr8ZJbY/MnE500mPHUC0dmTqFoyHSxJ8pm/OO3MfKce4Q/BuXjcTYcquxQmeRRGnu5eAypX9GJorQ1R154B029F1C8GL4lOHjCuvHmHIK0VHFlbeqdzk4BAey79v/h3Umt+gd/dVmxusx1C81cgOIhgBl7fIbSXQ7lZtJvFO7wb7/Aewsuux+tuK3Bmys+Q8BkrCJ1xcfGuKm0CMxcUJdIQtlMQojuEwPTFR82NUBJ2FLtpGVbj2Udtln71UbwjB9B+zvwpjwPPPMfh9SaPwfaff4sXvvbvqKLEm0eHEAIZtLHjIYQtEVIgbQsr6BBuqUP17aD/nhWoVJnF8RTEqcXqj4aIgjgf9Kpjtx26ZKycnzliOIj9v4LW96A1wwvEyDUWWnnono1G8SRtmPEBIy8DZLpMNZ76JeghDgDQykUfWoloWkF2zyYT9uqVWBwsh9C8C4mc+25QvQhWY9dOyo9vkMFnf4yMVFN941+ZuAMhwPfxew5i1TcbLbhlg5DI6kbs5jl4HduM3kJKwhd+AStWzJFo30Nlc8hgocLMitcTvfC9JF+8z/RdbocfviCAPelcVO92s+tLpzy7r1zc1+/EnjUPnDikO5lU38s7Pz2PeGMI2xlZcMxvcfRbG/5EAj4y6BSLQJbEqY+T3n8Ev2cbg0/8IdU3/PxYnZ4SEG8nFuecc87Ra9eWkN/eDLwN+eqt48eQOU9ne429WPtgx6DhbMglTNGHmgUQbx2R6RP74MBDqKzLgJrHlifa6NvdRuMZk5i7NEu0PgL1Z0N8GrhJdNdaOla/xuuP99DS7NMyrcQuGoxQ93tfzNeHH1Ia+gXjdA/twq5vQQbGaLTz3ncqm2Tgwf/AT/YNVwUOTF9E6KyrsGta8NPNWME9RX752vfRfjUyUFidSGttxAo02Z3r8No2H/uBSnvEJdgOIaLV6MEjhrORFigfpy5GqLkWp7owkq5sdeJxIYAxb5bPnuxlhkyymtTuw4gJ1xC/8pslLDMnB4QQ67TW5xyr3ck5u+OBvQg8C9T6cTXXyoNUBzraYnwColMgeQC8BBxaOdIw1Q6xVnTLVWZhsCIw4wPo/sO89I930rv7IGhN7679bH9YEJ8YYsVH+6maEEJrOLKjl+d/cADf08RDNo0tAWy78AW3qhqM95ywwJmPoLB8tRACp2lm6cw/MgjESK29F3/gSIH4kNv7GsFZy/AySXIdvyKy5KoSD0IjA8UEJ4RABsIM/vrbUDIUuARGxwF4GXRC4Ey5GOVnCDTMJRBpJ7VzLYmt7SaAp6mG8JSGguKaxcPT+Okc2vWxq8Jl2h3d0qC1xgqaBU/lPGTQJrfzZ/QP7KX65sfyC+6piVN3ZqNhnQEcpU5eHlrrvHKwZkTB1nwF1J9DUbos7UFir1kUhAXBekSwFqthDld+9XMIOfIiKk/T35HmV1/YxPoH29F2LRt/3UM+VSDtezx8T6PUmF0plyHx5P/Rc/fn8btLVwA20W3F67cQGqwLye3dUqwz8HLk9mwg8fzdxoGp1AtuhxiuoDt62r6H138EkCa4Z+z5cXCQ2k/j7nsa/+ArZDbdyeD6lbhdvWhPoV2fTHsPyZ2HjuqkLIRAZXIMbj5A39pd+Onjr842tLD4qSwDr+4h12VMs37nOvruuuCUVvid+js+5M18786XcC6vGBreNQJV6GwvuuNJI6MPOe2MhfZgcDeDfQ6v/fBBurfupmZ6C5MvPNuk1S5RxmvL011ULZpCOrcZU1nXiPYv/jrDzAUO9Y0WWkEoKqC/E7+/E5wIWtQx5AtQdtwFUOA/hQhE0GN1dNJCBMOogU5ye18jvPgdBbnrtNJm4dJ9ebfZvOijAS3IvP4UpfLmaa1Z/2KGmQsCVNVaw8eKZOuhD34W7Zfwx1GaXNcAkekTEXbpakbaV3gDaeOgk/MY3NJG9YLpoAQ6rfBfdNEJjXWujZxpHzVkK7nrUNFvpfq20//Q+6m57p4yV53cOD0IHwzx27eA9xRwdO2tVh7su3/ELfQoZqhsSvHop/4VL51BK03iUBcdazeWZ1E9n233P0nLBUsYaO9EuYYNzqY1m9eZXUtIqK6VnH9lPnbAimDXR99A5qoM4YWXklx1d2GYsrQIzr2A7LaX8PsOkVz9ANHzbkL7fr4OgEQEJUMZfMAoNHMHtpBa8yA6VcJkiJE4Ev2abRtyLLvUjN3NaaQFti2OT14XoF0fbUnz2w0HMJk8g8rzyR4aWQhVyiXz5QGEXY0+mDTruw/+Cy6h/4wflbf1E6V9Pvz9j5N48fPELvj8+MZ8EuH0YPWHIB0IXA3iGHXfEvuOaXM2EGz8xet4mRx6iE3XRl5UXvkIs1wyxfxb3klkQq1xMhkDrWCgT9HT5ZPNaNa/bIHeSHnKL09MwblLCS++ARwTiCRjdVRd9XHs6gmEz74W7ADZLc/Te9c/knj2hww+9QO0KFaGaaVIPPldVO/Rq+CmkprBvpHds79bsWlNlva9Lv3dCt8f3+olhECGjCZeU0W2N4A3kMZLZki3dTOwfk/hLq00+ohG7xs0ov3Qz5cD7zkfrcs/o3JcBUB2/X/i9u8ve/5kxYkooTUF+CHQiHlb7tBaf10IUQfcA7QCe4H3aq1LbxVvNexZ4K4pf15lh3eYQgiwo6YiT2QSeGl6d744nNd/NAJKktV+SZqcsGAWwXiEd91xG9vuf4IN37+/mNX0YdOaLKmEJtKYzHsAlhrskDa+nLecILxoBaGFF4Lvmlx4+V03tGAFMhQlvf7XqGwaGa0lsvRdRTnyVGqA/oe+UWS6U0ojpUApjVaw+ZUcWkGsWg7v7tX1Fq++kOXgfp9gWLDi2nDxzm8J8Mf6SeT/9xW57FQCTQH6nr0LxupBABSIzgAiW5qAvbtTCBEku0Cz5dnDzL+skXCVgwakJQi11JHeW54LHLhzMbFr7yXYemXZNicbTgSr7wGf0lq/IoSIA+uEEI8DfwA8qbX+khDis8BnMUU2fvsQFlhXgv9E6fPRKZTcXYP1iBkjmVu18mmcs5GunQMF64QAGr0oB6yB4l40nHH1JQBYgQDzb72azfc+Sm6w2JaeHDRX182afBTD9dHt6IZTN+moh4qKDkP5BGacTXDm0sIhalXghJR47i7UQDFhaAWH2j1cV3Ngl8dAj8KScIauR2zSqHlpAkHB3MUO2za4w8aHIna/FBcgwO1PoXIKMWk5MrKH2ILJJLcfROc88mUHR5qnj8bLQ+7HGZ4O7mNA5Nj+bBdO2MLL+tzy5cWEW+rJdvajUuUVhImH34t873M4DWeUv89JhDfN6mutD2qtX8l/HgS2YCrj3ogpjw0nuEz2CYHVBPaNlNpGhROHieebBULYIBywQtAyZsUXknm/9yEC1XFkwOy8EoGjJfO9ehZ6E7C0GF5DpIZWVU1kdUe+A0PME84YGzE4AunYBGtiI6LECYJysySev9cE3hTl65eAMDUG3Bxu2+ZiN2INlhQ0ZMKk+jVomFQX4OLsFOoP1BBeV0dgdT3kgkybE+aC65tZ9K7zkGUyGJcepCbbfoTkyk/T99wD4CriC/JVcUf/bBLUtAwqVF48GyRHctQi6aZ9tILBTiPfV5/VSqCxxsTsC0z15TEYeOh96Hxw08mOE6rcE0K0AkuA1UCj1nqoqsEhjCjw9oKMg7Uc/BeLTom6Rej4DEjsN7ncYq1FTh1CCJz66dzwvS+y46ePc/jlTdQ2N9H6dCehCVXMEnVUHQmy2+rDRzHNr6ZZxdDJ7DC7e+D5Vzi0vjhjD0DL8kVc8JmPm3tZxcox5fv0/fRfkbZD5JzrCExbOO6pC8DvaSO1/nEiS64ujirUip47P49VP7uM2APiQIjYi3UsOCuIf3mC0M+aEH5em28pvCW9YCvQEAv2E5Pb8jcex/gE2FXhvPJToQbaSAxCcGJ12QmpCVnkgdJmW5t8WfQxPNiGhzq49BOzEJYkNqsJPWOiqTj86p7iTpIdDPzy3VS959GTPo7/hBG+ECIG/Az4C631QGGNc62FECXfnvGWyf6NwZoBKoNWrxRx0sKJG1/8o0AIgXhuF9N/tIPpThjR5xH49keQU2pBw5T2Pib+7c/RHXkNdNDBPWcyMpPDCQfZ9djz+JkSdQIsyUV/+4fYIbNDaqUYW8xD5TwG5AzivS8z+NT3iV/1MQKT55v2YySD0YuGVj5+oge/uw2V6iey6MpCc57vktu3CRltpPrGh+j/6VX43ZsLd1lPEHi5yhBTlQ8ZAbmR8fnTMuDoQp6yRD2E4fk6ltFz5G3rsbnNuH3JkeQZABqyh8skOdGgqj1Uv4sYsPNEPoIwpU16PftSw1KDVgq3P0ly+8HSugTAO7yGzOvfJnzWH5Wdy8mAE6LVF0I4GKK/U2s95Ox8WAgxKX9+EtBZ6trxlMn+jcNZgBCLyp7WfgbtJks6dGitsS+fh/PnV0IyR/Bf3o1srUcEHUTIQbTWE/xaXi8QsJHLWkk3BIaDaErWpgeCVYWFIUv5BGit6erwib3jE9Tc/LmCJCMqNYBWJsZfZdO4h/egfc/kt+/YwcDD/236SA8y+OT3ULk02s+ilYcaPIKfnEj1LU8i7DDx6+5FdkbMTu0KSEkCT9YjUw5+XRZ/ehoiGqxRhTOjfsH3EZQ3cwabaojNbaZqSSteImMIsBzUqL98BLS/ZBBvVqrkLQSC87PNBaIXwKwL6lGuwktm6F29g8TmduNIpMvbUFIv/hMq8/bQU79RnAitvsBUwt2itR5dIfGXmPLYX+JNlsl+SxBYCLk+GOUWq/0MtP0aUh2ABjuCnno9OCZUd9ilNOhgXTYXteUgormmwDwkLAm1UcTsieg9R5BnTKJuTituOoNSilnXXcrBVzcX7frV05oLvu9/4RWmLF+MFSzUuB946TWWfbI4Z7zXfYDEE/9nxj3kMivtPKtdaGp0D2xi4IHbqDpnKXogCa2fIbLU6DNy+x4n8bOPEHy8BuwqdEAjBi0EAo3GW5A0fQpwFw/gvFqF8CTycAB8YRQbo2DVzcfvKeHfryHb0UumvecobLQpWU5SEniqDr81g9+chhp/+E1WkzOwIW7uPQYNRLg2O5OdVi/bAn0o7bP98U7Cexya6oCJAqJD/gJ5CafUUKSNu/cxgvPeX2acb3+ciB3/QuCDwOVCiPX5v2sxBH+VEGIHcGX++9sbgRVgXcLwY2l7zPjkD20rXhL2PwiogoQb7k9Wk7n1W6hth0qziFojHBs8hfftlegntiAtSfJgF01L5rPgvdcgx9iS+/a2F/Dq7as3cGj9Fvyci5fOku7u4+m/u5262cX5+rQGp3muqZg72k9eeYVELwVYEmFbxGZORG3oIPsXh8i+9zO499yJdhMMPvbhYUcmkbWQg4VstOy1sddWYe2IoCZkUTUuWipEp4NsCxoOQWNsP76N03Q5ZINlt1PfK+/2K6JN4ESxdkaQPQGc1+JQ7Y/ELwG61sObn0RbCl1CurSRzJNNXDLjapqqp3J1ZibNG8PYL4QI3d+EtWNERyAE9Pf4+F5xPyp9cmfqfdM7vtb6ecp7kFzxZvt/y2FNAc5FZ5+C9CGK3lAvA7kBCJlEH/6TW3C/9zxkPPSuTnQig4iMccpxfdS2EbY196OXiFx7Fk44hPvgBmb9aCeN6ck8Edw3/CSzfYN0b9vDxIVzEEJw7p9/kAd+92+QloUTDTPY0YkdDnLjD4vXUyEAGUSE6tFu6SQgMuTgWUF6Drt4doiQKwnGhWHn0znc/7kdX7eDsNBRH13tQq+DGOMIY2+LITyJlrrAi1ciCKysQzVn8VsyiISFvS0K/JwQ9eiIj7uiFzWxkNMpGxcjLEJnfhRn0nmk1pk8ebkVvQVEPwRv6QD+jBTWngiBxGJ02wGTt3D493Cp2bqH5U4Nw5ma8hyCs7oGf0oGQgrP03Ts8+jtUiy/KjTCiXhpUqtuI7PjPqpvfBAZrCoz6LcvTi/PvfFCzgBVrtCjDz3rTcZXwL17DWSGqttA9rM/Q/eljOY+kUUPpMl+5qeFtur2PvwtB0FKvB+vgrRLnCBNKsroTcrP5kYShYZD3Hzf7Zz1oZuINU9g0UfezS333U6oOl40QuNe+zq6ROUYrTWHDnisemSANb/sItkxyNYnDvLgFzbSuXEQucQ2xJTJoO56ZJgucpf1oOMe2lZoW0HQMWYvL18cROXTiuX/DX22OkIE1tTgbImDEoj8n0zYBB6vh+zIQuL7ggO7NZlSFjM7hF2/AKd5OdaNN6MDCtWSKbvl6LiHDkrE5Cml8xz4PmRKuOpKjTwUwPc1Xk7TtttjsE9xYKeHUxtFhvPvhfZQR16n786zyy6ub2ecPr76xwMhIXIz2PeAW0KL3L8N7Bi64WxIji6sKdA7O0nf9N/IsyaDFKgNB8ArtoG733mO4Fdvxf698/G+8TTkPJa6Tax2Ouixc8hgiPbVW5hw5hyccL40lCWZfuX5DHYcpn9PO9IZ+fmGcwhojXazJJ/9QUkt+vbXcuzf4Q1HBvb3KuonSroOKl5e1ca175+L2uoZgj/cTeiuOLkVHmpamuzNR7BTUeTOyVjrBoo050Ny/9DnwinromMo+H/snXd4XUeZ/z8zp92iq2rJli25d8clxXGaU0gC6Q1IQmBZygJL2UCoC6GHALtZlgV+yy67LC1AqCEFSLWTEBKnOLZjO+7dsi1Zvdx2yszvj3NVru5VsWVDAH2fR4+te+bMmXN13jPvvPN9v6+dXIGeX4VWCqdsBrMWh2xAb+v3+nMlpA1Iep66DXPTfGRiKt4Z3cWXCxoIQHQ62OkzUJvWDLkdWQw6gLTvc2S3x54t/aSjretdJp9XRvW8ErzOVJhCrDU600Z6/TeJnfnJUV/j1YBxwx8CQibQ0++C3bcCQUhgGcjfb30JWtdjnOrjp6PYH70c46xZoDXB6m24X3sUelNFbQNjxUywTYIX90JXBrW3OeQBXHsqwjTx/vtJ7M40F1zwLoL3vhc/cNn54Hc58tIrTD5jUd96v3X7Prbftwrl+ZzylmtITCyDwCdIdUE2iXd4B+mNq/PX9jlorZlYZ9J4ICCdCo1BBdDaFL6Yku1Z0j9IYfax4DQiENh/rITlHtGZ5firffxNXUN/b4hwbd2XuqDzvIA8KAG+iT3jClLP34l/+A/gpQisGEbFPER0AkF3A7pzN3jdaK8bL3kkJFPNySLaTIwjEXQkIJia2z4UYFvXEXndu/E+9k+QHX0NPo1GKIHxbDlHrMzA3Um0hud+up9rPrsYqyxGZEolmYZQ9DS9+XvIkjqsyedglBcWRnk1Ytzwh4GInYKe/xto+EhYxLJ906DkHYXxWjBuugk5uQphhk+KcdE8nLII2Y/9CjGrmsg33gS5Y5gS90u/Q/tBn+67eeUSjNcsQYirEWX9BBU/neSVe1ZTe/qiMMqsFKVTJ1FaN4mOvQ2s+87PuOBz7yezNSyAGbQNn0AjhKC0QrL8ogh/+F1/rq4IZf+RhkB2FRqocVoUuy4REhmrBCIu0O4ws+jAQ1Ln0gyK++ReZA3u6j8O+jBJ0LGLkmXvJ/XS19F60EvMz2D9sRxjfxR0uHNgvaDJXtGCTvhAC7KsLFQLHiUGeiQJ7bDSreNhZw/+gLVXT4tL4CkMS+LUlPUZPplWkk9+EISJveDvKLmgUOn41YbxNf4IEFYZTP4cdB8ocBlVVhE8W4asqQij9r3n2Cby1GmIqhKcL14HiQgi7oQ/joX96auw33shBBq16RBCgIyZfUavW1vIfuF2Fj70Eq+788NYUQfTsbGiESJlCS6841Yq507jvE+9B6000VNfR9mV76V0xRmUnzmbstNn4kwq1NgHkFJgO4LyCf1/ehWAtARzz65GDgreydNN7LcaiJyyl7HUxA1rNyYAACAASURBVPlULEybHSI0n2fkEnSskKqn0ehSD106BI3PT5Ld/jNUe6EkuOgwMfbFEIEMYwa+BFdiPRvec7BtE+5dd0IR7sNQKPZiqlUlgxuR6sh5ccWWD9rH3fJ9Mpu/N+rr/rkwbvijgHDqoe7TBF4/r10rjfffaYLdZvEHLFCIugrExNI8NR4AbANRXwmGRC7q3a/3IXDRrkv67W8ieOhBrBILvW+Qhr6U2KVxzrv9H7Fi0dy+voaG32KaKaRlYkRsYtNrsGuLG7+GPpkvQ8B0r5TTzp3MshvqkPOMvEi5dZ2DGCDBJQwBjkAuy4mGFtky630haKlRJT7+zB6ChIeK+XnHs5cUVxUKL2QRNBYvfioPF24HCgTyaMgdMHfb6O1bIVEY+FRoDsseDsgugiJiIgP7M3S+eUhDEC2z0YEic2RoAk/q2U+H6sqvYowb/ighSs8i9cx8Gta307k7Rfo7nQRbA/SmI2AU+RqzHupQM5iFM0kf8WdwMkjwEt4PvwtNjWHgqKmL7K33kPnoLwcp+wriEwfUDUg25LT71cCLEK0rXlvAlIJYS4QZfhmnZyaxRFczOSPRSmG9KwoT+8ec/XIS74FsXpKQiAjkrFCmWtVk0VaAlrn6AEaYPqwNFc70UqPmZHCvOUr2+iYyVxxFRwKQINsHSX0PtBXXR65pBa/IzBpRQ/IAIj+fhGyzwXWhJT+jUKNZazTyktXIBquJh609qN6X1KAOBdBk9EfrpQWnvHYShgnZpo48EZACBFncvb8f+virAH/9KrsnEFopDv/DGTRtP8JsvwIjl/hhXDgP+9NX5pF3sv/8a3RwBOfDlyGm99fF6y+FXfhCyP7XEwQ/faHota2PvBbz2iXoQNN1sJGS2up+Hn/HFmgMi3FqpUjubsJt7hrCHQXz5QTm5kQY/UaghcJfmMTwHcyqGOoFP79StQ3GayzsGyJ996B2B6g9AWhwH0mhowEiYxLMzeDP7sI4GMF8oZTs9UchOkBLQIFosYg8VIM2FdnLmjF2xzH2RRBpAx1V+PN7MA9GEW0Wmdc3QkQhUgayIQJCQ6eBvbV00G0V2TUoghaR4mmnoe/32qCEFaoeoRSBVig0EthoNrPP7EIITfkEwfR5DrWzo2jXL0qfLoCwiJ5+G9Hln/iTrvdHq7I7bvjHga5vfQjjp4/37V0DUBXHPG8O2lcET++ArkzoMkcFkf+6EjGtt3a8KKreGmw5TPbWeyBbXLlHLrVw3h9B4bDuvoPEZq5g3rWvwYw4eTLgPTsO47Z0D7mFZaxLYG1JIAZTWi3C1P7CBLYQNkS+WVKwbNGeJnNbDwgH44KLke+9jp7V78f8RRLQuK9pBXswCQoi904K9/Bz3PmBRjvQiFXcJ6hLY+4qCQemhm8/FHrbdAuXx519fZ+bdoTl7/s36sum4e/Yxob7vsmh1GGyIgAhmDq/lIVLhlZTGgkiPpmyGx7CSNQfdx/HdL1xee2Th8QHvk561eVwZEAUvTWJf/8gCe8AyGi8Hz6CKH8ctTWCmFaPdfOZyBkT8pr6z+wCd+gH7MjRTjZ9aRfJVpdEjUPk0KM4Mc3M114YZhHG6lCde4c1egBrR7zQ6KFfz2OoUz1CV3zwO8sEakswz7kB630fBMui9A1P4D53K35DYbpzL7TUCGQBExDyjVomTeT2RN+Rgn7QvcWIR0SA4rDRRc0Ug5rJBpm05vAej65VD2Lc8UM2bVvNvuAoSuQCjlpzaHeKOfMtrCJS46OBTh6m675rKH/LuldVpH/c8I8DQgiid/+C9NWXQnoEYQYfgj94oL1QjnprJ8HqrThfvxnjlLCir9YaEZehh1DE9jPC5/mOQwQ5g+48kqGnxeW06Bb8rbtp3t1NZU0cuzwUyDwZEPUSMUS8Ivr1GxFTPoS7/zGST96GSh9FVkaxXo4XdqRA9JiQlKNyzYeDRqMmZhHdJiJlFhzL8wriAVkfoiuTLKlxMC1BEGimzwXr0S0kr7iAfdVtKDd/3z/wfPbttpmz4PjHqbr34x16Grtu9GXdTjbGg3vHCZEoJfL9e/KT3oeCR/+MqjRkfLxvrQLC3HhaN2DO3FSUdw5gaclEP9+IlK/Y9kQzD3+9gZe+fRDxQoDQEiM6vMKNPzMV8upHA0lYjCYK9tuGKZ7R/Rx+wzq6f/93qORhUD5qUjf+qV3YT1WAK8IfT0BaYj1ZCbHiSTQQ7hRoER7XhgarsIou5CL5rTb+0u4wmCh1uE1oKFSli3bCmVtLhbjidOLf/waVtaHRq0BzYKfH86vSrJGHOUIXuqNwl0EIiVF/5ei+r2GQ3fnrMfdxIjFu+GOAnDET5577RiaKFNOH3N1M8NJe1IYHoXkNokxj3xotavwGkvogf2tKa0h1l1A26zzm+1UET3jgQnx2bR+RqBj807pQtRm0CUREaNhV5Pt+NsiLTczrbKybHSJfKUHWGTn1rSLudsqh567XQ5BPEQ7mp3Bf0xa+9AwdMuschXt5M+7Z7QUpuxodvpSERmgJhkBccjFiYu2Q94MvUBOzZK89ir+4G39BEveSVtyrWnDPaUebCn9JGtkWJ1h/P0bumuufybJzs0d3p6ajK2Cd1Uipcvp0BnshLZu5N36K6Nl3DD2GUcA/uu5VJds1bvhjhDFjJs7/3l0oZDkSsj7ZL/wS4Rzqey8Yc0xEfeGfRKPxZf4i1rAk0pIceeFRyrSD6ITsnUnYbFA6bSaGES3u9Zug3raEyI/vwf7YfCJfryby+RKMS6OICQZi9izMN03AvjGCdZmDeZ6NiOWMPVWsnLjE/c/tYLrFnyY7AvHQiBESpIW5qZzIk5MQs6ejIkE4s0uFqs0STMogVC7xxweefAb7M19ELD216NcoEMj9UXQ0wF/WjX9mJ2qSC75AexBMTmNsjKJXPYu6fxUoSXeHovVokFdgKBCaVplGSAPDjmA4MezSSs65/fsk6ubgVV6MGEGNaTio1ldov3sJKjMMd+FPiPE1/gmAccoSnH/9Btl/vg28EarHDkRWF0TJzdfaeD/I5JV9E5agqSqNmZb4WYXpSEprIpxxbZQH70jRJtLEtYVsAe/7YWKLVVZNcF0jhfXjBMJwMGacgp72E+h8AnrWY79/GlRcgTBLUU0/J/jt1wieckFpxGwD3ajQPRpzpYVxptU3bq0lSIGxP9rPlx9wLQIPWTKJyOkfxZl5FcIpCzMVlSL5yAfhrr0E1VlERCObCiWytfZJP/E1nC/cCq904t3+0YKv0dxUgqrLoBNBuN2nBfKIg/VMBXIACcfYZeIt0SQ7VdEVmkbjlFdzzY83ke1qJTphCkdefJRfXz8V5WW4+OqxFPAEnWmjZ9X7Kb3ynuPu40Rh3PBPEIzzLsD59/8ke+t7Rp0NJpcUfv3G6Sa61cb/rRtGqm2wbnY49/RZHNrUSWdjmoopMSYvKkNIWPmumbRu7sFeEkVkNcETPmqviXTKsedegLvj7kFX0HiHwuKfQlpQ8drwZwC8n+8n+EW6Py6xs9/b8PZnUdsC7LflOLzCRy7WyJ9EMPZFQhmu3ki91GAEqJ5DpP74SYQ0iSx4c59nEDz8KEYQgRKFPzcJC8HYEcfYE+0PzAUeXsdqsg8+RXTZrYhJk9GNhxkI4UvsB6vRk1x0mY9stREtVmH2oBI4D1VRtqATrYok7xgw55p3sfexe/AzSarmn87Tn30TQTaNEPDsI4KaKSYz5luY1vG9ALyDT6Ay7Qin7M9alHN8H/8Ew/3e/+B/51uja+yAcbWFtdJBRPNVdLWvIakhIQopvwMwkBCklUZ7oBrPwbzws2T2/4LUs5+HIL94nohMouKGZyBRGurtD+yvq5P0ZRdAkSIhfbDA+VwcWSPRAfhPO/g/b4cgQJV7qIkeylQEi7uw1pZhHIiiTUWwRFD69c19oqFdb5mNKssSzE31ewo+0GHiPFOB6LLC5YqjcC9qQ02C0lN/gveJT6G9DPj5YxxNKrCyQq9gXeVhDndn+m5TGjB3qUVrk6Ct1USrICwVrhQDpcWlhGhccO5lUeQwf5fhIcEuJX7BXUTmvP44+yiO0e7jj6/xTzDsd7wbef5Fo2ucheA3HpnPJ1FtCn1QoQ4G6CBMLxVlclijhwH0X0BIgXQExvQNKMvDnnUNYkAlXXnExn64msj/WSRvOY/udy0l/au78tbt+lA/q01MlzifiRH5TgmRr8UxLspF1w3QDTmL8TX+Ix0woRoMA9kTxZAzCZZ24jxcjbEnhnAlMmVivihwv/EVdBDg/fwnyPY4wbxk/vLABHttOaLTChNwtEBkDOzHq8B16dr4dsS/vxvzDTeD7E34FTktgEGQOQox4b/Z89rI3tRI9qYmFl1isOxch+rJBpOmGpxxQYTpc2wmToYgk0K5WXTg5xk9gFKQSWtSPWOZMBW4HSRXvQ+vcZiKTicR467+SUDkrm+i9uwmc8sNBQ9OAQKgU5P9fgp26X7N+TJw/iU+pArvUPA6UyR37UE9uxCkjT37etx9j2I+m8F8JYFWGve8llD+WoN36Ktk776fslseQ5jRULFGaygXOB+OISK5F09CYN3gQEYTrPVhkkS7msznktCmgUZwHOQpS+DDNyN/9FZEj5HHbhSBJLj3V2S7UqjVj0JJJmTiDTTZrEA220WJPfJwBFXXQ+Y3d2DuKEeqfDXM3p6EEGg7wFvegegwMTcncM9tR9Vn+ndNNFTXmlTX9puAUhrf0xhmgR5pHgIfutoDSkrHOG8qj56nP0nFG4eo6HQSMT7jnyTImbNg+Zmja6yAHTr/r9EN/k/DwFym2+OBOzaT6fGGrdmutUaYRliwU/ngp3B3/grauzBfSSCUQE/LhkE4M7e9ZmmCru2k14fLE5EoRa68EPMcq2BrUTgC8wobudBA1kr8VW7O6HPIZlGbNiIe24ZIDjGnKIV65LeQySC6zCEkuIeAJ3AeqMFeHUfuH8oyNcrUeAuSBLPSyCMOmBo1NZM/zYlCUU+toGGvT2XN8GZhmP3ZjWOFal6HcocWNjlZGJ/xTyIid/wrmdeNkq2lyS+DpyB41sO72uTFew+gfIVhSrasamTHU80EnsKJmyTbsoBgyuIyzrxpGnbMpmL5HJK7joSJOkEW2RwJDUwJ/BmpQZF3QAZkd/6a2PKPo9vbUC8+h3GNQBQJYIkKif2eMLDnrypSIMPNoh5+EPmG02DNnoLDyvTR5S4YIJtsjFdKCBYMcPctjapyw1l/4Ppcg2yxQmlvVWiYqtLFW9qFqvDBUmFgUYN7WQvm88Wr72gNKres8lzNK2td0knN9HkWzYdd+nyIAU6JNCCekEyoPcbt22GQ/MM/k7jk2yesv9Fg3PBPImR5Bfb//Aj33W89vg4MWP/fB4mlDOYsm8qmBw+z8/kWAjdcPrip3nWB5tCmDla3ZLnsYwsQUhCfNQm/O43KeKEqTW7FIVxZnHPfmUZ7Hv7jD0MQEGzyMc6x+l39XliABv9hd+h6nfoo8YWlJJekMTZGQgVbAQiNv6yTYGY6NCQJ5tNl2E9XhFF9wNgVxZ/iYiWNsDKPECA07kWtWM9UFDf6Co/sZS3hy62Xtdw7bBP8FZ2IHiMU/RioESINdr6SoWGvh5uFSFRw2so4Rw9rhKEwnCh+qpuSRKhclElraqYY1M+0xhDYK4S7617ceTdi1194wvocCSfd1RdCXCaE2C6E2JWrmvs3BXPpqdjf+J/jO9mHxfsnsLCpirJHDWY/lqA0U1z9VwXQdTRLx+FcBF+AXZUI5bErNaraRRsac1s8t64eAE9gPJkifdXFqI0vg+EiqiS6VaE9jfY1Ojtg96Bbo47kmIaD2bQ2GBeaSDOg5B9rkNfIfmPTAmN7HHnQCTP2TI2/sgN51MZZNQFn1QSMAzHszfHwBWWAd4GL90/1qEk+2ilSTQiNt7Sz3+hz957fSGDsig+gDgNKEDnzduYsK+WCK2NcckOM86+KUVVXxllf+SO3rE4y/eKbEIZJsluz4DSbMy+KMn2ujXGC3Pw+KJfkU7cRtO88sf0Og5Nq+EIIA/hP4HJgIfAmIcTCk3nNVyPMs87G+tTnj+kcbRLOzH7u3wAsDM52J+fFwqQpqJldgjQFUkKmu3/tGwQapQIiS/8e7wqFvygNWQNrXQ1kZF9JLHNDAnNfFDraUZseJ/KlONYbHcTk0DtQjQr37gz++nCKl2US5x1xjFkm1lsciAAOYIFxroV5Uf/LST8VRuYxNdnXteBe0Yyqy/bfgxYEdSHpSKPDKL4vQzmtrMB4GSALho2/uLsvSt//BYCa4A3/JGuQXSbOvZMQHTn5cCHJrP0qBF4ofZZzSlSmk85fv46gcw+Lbn4fy86NcOkbYhimGDa+Mlaorv10/PIi/KMbRm58AnCyXf0zgV1a6z0AQoifEZbPLlJD6a8b1rWvh4pKvI/dOmw7jcYlQPpiQIXXftgYJLRNt+hfXy+/cSqBp1n1re1MmJ5L5hGCDY+0MH2mIHL4N5S/8bvoW+Ygo1Xow02k3/x6EGlw81NjrZsMiNG/jeiAnCChW+P9IIOx2MzL0jPPtjGWW+hWjSgViOiA8XZr6AqNxVvRgZ7g5gKGAwxI6/5yV4MC/AKBbLFxmzYhonHUtG68TCfW+lLISnRCYX7kI5jeQ/gHVucbvw8kjbDSjmkjGh38MzrQlb0viQBUEMqRQ5/rLiUoN0XX019E+m1MnGJCrobCmMxe2sMWDQ3HnCK55rOUXfvAWK40uuGc5P6nAAcH/N6Q++xvEtb5F2F/+d9GzOizMbAwhkxbdWW4theGYN751ZRNipKocbjwPbOxImHQSfmanm5NrETgNnfQce+bSK35PCrdgpg0GeH7iKxRsG0mZxlFNAJBLjBAg27snXH7yTPCFMiJEhE1yPOznQHFMqali2cfGiAb7cKZvG9AhLz7dBgDCOakcM/qIJiTJJjjYs27gGjsRvBkf0qzLxBpA/vpSnxRzq5D09iz5Cj+rHTRqW7wel1KSO99Cr9pbZ/RQ+EK4pggLRDFswwHwj/0R4LuhhHbjRV/9uDen71M9p8Y5sWvw1h6Guk3XAnpfEbdUMUoBh5fbx0NDV+FD+ieF9qYfW4NiWqH6ln9GXxCwIoLnZDdpjXadXF33YfX8BSHzbcwQWcopTBeoFMa4QyOAYBu0+CDSPTOzg6gQp2B3Kgxy0BE0D25MtO2Ri3MIl6xKCrtkwvwuRe3IboN7DUVaK///rWhCGakMLfEIC3xz+jCfqIS2WKHZbvQZN90PcZlVxJ5aiL+3B5UpYdssjF3xtGe4Il7GwncQ1gOTF4Yo8B8NSit84xfBZrODkFPa4YD21IEQViPYMFpNoZxnOYvBEbtWQSHnx6xaeevX0vl206uU3yyZ/xDwEDNobrcZ314VZTJ/hNDTKjG/NDH8z4LUCNKSLXJDA12Vx8nKPA02aTPi788kNdOa432/QJKKyh0tgO95evsclpRA/Lh5UyJeZ2NOhrkCWtqFRp8sM5DLjYQZQMeGVnGgMhdKPg55SO437dxv5umY80usktb8BckkfsihSIjIvzREzzUjAzZy5rRFV4uW08TTE+jIwpzYwJrZ0kopNno9JXt6vvunlyFECVYL5fiPFEVSot5kqTwCNwwflA71SyeQiHCvKogV+IsCDR+AEdaati1MUUmrfFc6O5Q9HSq417nC8MmfvF/jaqtTjUSdB8cueEYcLJn/BeBOUKIGYQGfzNwy0m+5l8ErGtfj3/P3bBvDz6KnbKN6aqcyKCqMxod7qdPFrROzhKsL5w1j+7qxk0HZDqzlFRHIFD0bB2iuIYOmDRFUH2DQu4WsC5MApKnmXi/yKJ+66LONjGvcBClArUrwLs3g7HcCpl7OaiUizBb+rxXrTRqWwr1xOehcjnqD6vRC4BoWMRy4Hjxw2BfweRb4ZO9tj1026VAHhXYj1Siy338hId5KBQD8ZZ04S/qAUsjmi3sZyswqheh9u1B+D4aUEKzyTza13dphRxyC+75VSnqpluUVUm62hVHDvgsWr6NppyHEk8Ill8UwTCKi6SOCGGg/Sxdv7xg1KfobCecRJ2+k2r4WmtfCPEB4BHCFd73tNavnMxr/qVACEHs5/eTeueb0ZvX02ykmKMqCzPKDIHxaYEsMTGfLv7nMizJw/+6hcDXXPymSvz2nuEujDRCIoq6MEn0uhpEucC7P4taG6rrtv8xSeqZDsrNCOV3lBG5Pb+wRLDXx3/ew746ApZAe5rsv6fQhxRykYex/GmMOodg3wTcqUfzDVyAeXA6gXEYXZftX/crICsxNkcJlneHH5WBu7INVe0SeWBiSEA6pQf/lJ4+wo+e4JG9vJltTS5OQyuTApu0CNhlddAm+oUvOlsVk+p1AeNOCMFZF8c4sMvj8AGfuhkWlRMNtr6U7cvXj5UIhNDHn02ng9Ab8lMgTBhcGagIvMYXEXYpRunJWf6e9DW+1vr3wKtbZPzPiMgd/wJvu5lJPZ1FK9NooUhtbkGV+NRUmFi2xHPzA2FeOsBLB5iOpKXBpbyI1B0Q5s3Hw2IUQU8Grz1JfFb4MAd/8Ag8xRrrEG0yg0Cg0Mz/STVLbpyC9+MMakcYW0AADmSe7sF8owO+Rh9QWG+OYJxmIiICHWjiK6oxjswgfeDFcKZXCtkYw3zGxYzU4uomVGU2lM/uNjE3JQgmZ8K4oQGkTVR9BnNLSVhpF4G/qDufeShBW5Kg9Rm2k2T7EMpjh/f7zJhvYcQLZ23bEcxeFMY7fE/z1G9TeVW1W5sUe7b4zFk8VAXloTA4rqFHZfQAqaf/mZQ0iJ56K7EzTzz9ZZyr/2eGnFxH9Je/Y+a0MzCK/TlMjYp6oDSG8jjnmjKqpsaK9hV4il2b0mFhn96HW4CwDOzqBPHZtZQsqMeI5arvOv3vfevNEXae00WrmSEQGl8olNDs2tlC+s4kanvQr2SrCavpeuD/MkuwxkNMkBhnmH1MP2EIhBEQnS4pv+VFnP3LcR6ciPNYBUKBSHk4T1US/U0tkXsmY65L4J3aiZo1IPpf4YNFKKbZSzoaLNUNIDW2XXxXoHLeacSq66iuK0XrQUZfpKumBh81qCulYN+OYxBY6R/YcZyTg/YgyJDe8C385pePv58hMG74rwKIsjJK7vx3vFyAT6NzQpMK97z2PFc5ari89rZ5lE4sFL/UClr2Z1h1b5Idm1ysCQnisyZRfsYsSuZOwakuRRqCIJUFAZEplX3BKuN0k/1721GDglcT/Tg6O3TlGvzwkHGhVVxbMNvOb968hAfWrOb5nsa+slXaVuGP0Hhnd+Bd1A6lKn/LLzdhqnKvzxuSTXahlLY0aW0u/ij3HNnHtT/bxnmf+V/i5QNemEPIDbguBYYPYUaeNoYRHC2ABPNY2g8BP4O79+Gx9zMI44b/KoGcOQvnnz9PCi90s6s8MlcfRU0ZpBSTeyjPeesMrKhRdHNZBbDnFZetGzyUUiR3NZI+1IrywyIR8ZkTQQiEZZI92onb2g1olr9xagHFwNFmfuGQwRBgnmaF2XxFPOHAC3CTLlpAo5ni5YX7yFx5lMyNR8KfG5oIZqbCRecQl1ET+/1ua01FyOH3RGi80iGy6B3o6LSi52rfo+WV53FmX0fitd8FkXuzDKIc9GLCRKMozWLC/KXEz/0S2KWFB4uPemTCzqig0Sekn3yMG/6rCLHrb8R49/vwUchOE2KDpp4A5BEH5Ssq62Nc98XFQ3KBTFtQW5khva8Zt7mL9IEWOtftQbs+MmpjVZbQvekAqT1N9Ow8QseLu6mZ5jDjzPx6e612qqiefh8MMM6yEE4oCDJwu8vPBmx6+EieJEH9XCtkzxnhucSD4SNNAegSHx0N0Ghkt0nkVxOx1pRhbE7gzL2ZkpVf5tzP3p0nOtILrXXf58aEJSCHD2slyiXT51phAFSGKbiWLVh29crQpTqWFFp1PMuDQmS3/AjtZ05IX70YN/xXGSrf+UHUJ28n7WvsVZUhp94VIXmm1cLckKBz7S66Nh9ESrBjhQ+yNAXLrq2j7uK5JBbWh4U5lUZ7AamGVrQX4LX25PJSNQQK7QX0PHeYhXXVSFNgOhIrIpl/Sy3m+bnZPLfvDoTJORGw3x1FVvU/RkIIdFaTPJDl+Xv2s211U9+xkjJBJC7yn7pi75Ted4cnkE0Ozn31qKvnomMKbYZ1+GSTg5qaJrv7V2itqJh1CmXTFxTIYyvPZc9DP6Tr4A5UTwPCGDlAN3eJzdmXRpm7xGbR6Q4XXh3HPPBDUms+N8SATy50kMXd/8gJ7fPPztwbRyHKr7sFffFVdFyyAucXE6HcB08i0hJ3ZTvSsSiZVwtCsPCSiWz83WGCAVVlDUsy/fRKhJQYJRFi86aQ3LQfAK+tOwzuDQ44C9COh/kbn+svWoh1pRNmxEoBZ0KwwkRtCxAlAjnfRHsaUSWQTv7coZUmeNmn+8ce+8kvJW2aonisIF9IJ0yBP2xj7o5j7IsiFy/Br9+P94ZGRFtIHNCVXniOp/Cb1oEOuODOX/LU7TeGRu6FiUDKd9n9+x+yb9XPufhrDyCC0c3CiTJJoo+spMMfv5dpWYSFeDKhPHS6deR2x4Bxw3+VQiRK2bJiOtO2bqM8FYVYgLu8EzU1Q3z6ZIQRcurnXzQRrWHL4424qYAJ0+OcefO0fk9Aa9I7j6ByFF/tBmQPt+VV9s1DRqAe8RCXOnkJN8YME2NGEVfa131LgWSby4s/30/j1m4sO0a8cjrJxn19bbs7FcW2wrUOtT21DiuOG+sTRF4pDf3siI3x9msINt0avpyqBhmuNOh68HpAIKTFa+/8Kdsef4JX7v4qQTY0VK0C/HSSl//vTs556+2knvviGN1wjVG9DJ1uRQdZdLYL1ABXXFrI8tmozr0QnAAXPXBxD6zCqFqEVbti7P0xbvivapz1tfv5/VumsuLcjrwccKs01pdIKqFa+gAAIABJREFUI4Rg4cWTWHjxJIA8pV6A9MEWVNbNK/ajMkUeeg30GGFBTQv0UYWYNrzKjNYaf7WLeb5NECge+do2Mt1h31k3iducxYwl0FoTn1DNvDktbF2XZv4yO5wvc++el57KoAiFMDpaAlw3xaJ5M5i//GrsN7yJ7NH7h9YuVF5e9lz3726ip/niPqMfiPbdG7GnfYPUmi8Me18jQdgJyt+4Orxm4OLuvJfsgcfR2U78xhdAeaiO3aHxt28bWXdxRGi8fQ/jNTxJfOVdRBaMnfw6bvivYhiWzVX3HOblLyylrqahz6CDjIe0i//pegNsbirAtCVea/fovFIBxANU3Ee6JmLCyOEf5WqCRoX/4R4OxXrws36ey64DHz8VsvC6j2RZe8hHK03DHp+qSRJDClqa+iva9IfNNFsaniMzeScrujZgxlbmqIbhy6bpUEDjQR/LFkydZZEolwPO1JRWl2A4MYJsfsmqsmkL6PnDJ0ZNoikKI0pk2T/1/SoMG3veTWCX0PPoO/M8CdWxK9xFGLPhQ+9SI/XMp3DmvhFhjJzpNxzGg3uvcggpWfKZ9Wxab/clz6QPNA+bLKJ8zYN3bOZXn9hAqjtAWAaxmRMpO20miUX1GCWR4jEqJdA1HsZFFiI+chBLCIFIAz5kkt6wlaq17+Ul/7Q2Ko4ezi9jldc+0Ox9sZVs63aM1E+RRmisG5/Psum5LI0HAg7u8lnzeJqjhwYYcqCYvvISnNIKpGn3DhTDiTL/rHr8Q0+NeF/DwahaSPT0j/SPUwV0/e5meh55e+HyQbnHv6QwImEO/yBo5aFSTUVOODaMG/5fAKRpsuIr69i9XaAU+J0pgmSRSjA5qEDjlJgEvmbHy1lKl07HmViOEbWxyuMkFtQVP9HQGGdZmNflAmgjKvqC2hoaXbWKnfB4tzQEqQ4XtIszsYzuDkVTQ5BX60MF8Mpat3+sykX07ObC19dy/uunMv20mdSffx3nvXklsa7fjXlMOtuet5TKbP4//AOPhXz8Ewiz9qzQyymAQEYnjLn/ccP/C0GsegrzPvBbAl+HlXL3NKGDodNEk20h6SNWWwYyvzCHtE0iUyoLTzIgHWvGbe3GT2WH7R/CiL/9gSiiSlBqOEzXZUiGiNwfB7TSJKojoTSWbdHZVty43KzGHyALkF57F6p9KxGOMH9BN0vPMokmnwklx48XQmCVx7En1uYRatLr/mP488xY+HOMiJ1+G0blojCpZ0Bf0dM+hDgBjMBxw/8LQvm8cyh9zb/huuB2pmh/eT9Btl9rX2uNnw1Yd99BlB9+VjYpimEVzhyR+gk4kyswSiKI3uOmpHzZDJwJpZgxp7+c1zDGb8w2cb4cJ/LlOKd9ZTpTlpWdkK1uacD8ZRaGJdBa4raniJXIooQlwwCz1z5UkF8yzE/h7xtbjphREqH8zNnE500hWpOELVejU6FQhs60DH+ynyVx2Y+QlQsZtblFJpDZdR9By8sD4hGS6PKP5y0zxoJxw/8LQ2zJO5nwhnuxqk+BdJaul/bQs7WBbEsXPQ0dPPHfO9n9bP+eb+v+HnyvcPUtNETrJ1C2dDqlS6aBFETrJyAsA2HkylQbEpQmfbCFrs0H8JP9W1Nag/JV3/8P7u3khV/v58jWQmbblHOvghEqAgkJk6cb1M00mTrbZMVrItTPstDagpIz8FMOFbVx4gmZ15VhwKxF/dV7R2LmHRPMGCJaQ2LhVKRpIE2J0BkIumHvx9A6QERGcLulgdvwh3BrDxXeqBEB6YT/FkAQPf3DuK/8YFB8QOHuvHdM1Xrzbu2E9DKOPyns+guxbvwD3b+7EVNsJH2gBa891KQri7i0yvD5Qgha9qfyDKV39vaTWcxE+OAZEZvYrImYJdG+gpa9EIbETETJHGyla8M+4nNqMSsTbHjgEJ1H0iy4dCJbH2+ieU+yT+9/IMxYKV0HdiANEzUM51wraDwQsPLKKNFYOAYZqUDM/iaiZCnl9V8ku/0eVk7bwNbf38+RXW1YlmDGAovaqQMe4xPEa5fls0ic+zYMJw7Nd4MatD3od0HXGmLLP0Hy6Y8PEcSTyLKZZDf/b78XolXolRh2mKOPQZiAoUFaOAvfin/kBYqtl4KWjQXbtceL8Wq5f8HQgYe/5UOolqfp2dbQ96ykk4q2owGlsyqpXzF51MUftFJh8s6AB0srTaaxnfTeUM1GKXhmtUuydZTRahG657pYytsgGCacstyhdnoEpEXi8h9j119U0C694T9JPX/niSHHDAchMOIREvMnI51i22eSbHYWybW/5YQFNqQTuvdFg4WCqvcNz+Abr5b7NwBhWJjz70Dadp5ybzRhMPOcGuqWThhJ0De/PykLZxMB2caO/l+Fxk8dQ5BMq1EZPeSKUXYK/JqrKL/pj0WNHiCy6O9DZZrjCJohDIRTBUYUrJLh22pN0JOme0tx1VutA5Lrf8cJpe+q7JA7BCJSVfTz48G44f+FQ1iVGDP/sW9djhCULplGbFp1n+DGmKA0cmBwUId15k4W9m51yVZdjVE2Y8g2wiqh7I1PED39w+EMOVoIEznxDHS2PfQWIpX5UfMhEGRc/FTh9qnfmSJUPfnTQLvd+G1bT0hf44b/VwAx6R0kFs1FmBK7uhQZsfoDdCdgPajccIYPWXM+hgkzF1gsPtNm8nSzKP/+uKEVbTv7q8loL0Vq7b/R8bPz6Lzvatz9jwHgHXyS9EtfOzaCjA5Qjc/Tt6buPjB6Fp/WebsbQcYlfbht9NcWkjGbm/ZIvfivY+sjh/Hg3l8BhJCYZz5EeeIWVKoJaYylkmt/5pnWGj+VxZlUjhFz8NqTHHm+kfOviOVy1QUT6zTT5pg8typzYpipwN6H78awHJzSSqrdn6M6tvet57uPriN27ldIP//FAdlyo8XxSmNLjNz2ptaaIJ2l6+X9Qyc6Fe/luK/fB60IWjaNrY8cxg3/rwTCLIVTHsDYeN7YOio5A3rWAmH02EpEMeMRhBRYpTGWX5bFa0/2eRKmJYgnJFOmm9gO2BHBtvVjE6BINR9i4/e/SFVthLKzZf8ePYR89Wc/dfKzYg0ZpgdLSCyo67vf8F9xjEbPiWH2CQNz4ohxu1Fh3PD/iiCERNd/AQ5+7vg76XmZ8LHw6bWuvkxAQxIkswXLB9MSTJtjUlImCYJwW66jdYzTv9ZMrA1ylWsGV/ZJDbNfLykU5RsBMmfIIgxwJk6pJ8h4uD0udkUcHSiUHyBNA600/jB06ZMHgbDixJZ/fOSmo8CYFh1CiLuEENuEEBuFEL8RQpQPOPbJXGns7UKI1419qOMYDUTlpTDl02PowSWsI118Riu+rQWJcgMhBIYhmH7GwnBvbhiUz1rM/Js+RGxica28WIlgynSzaIxC2CZW9VAR7hxJZpSQE5YSnzMfuypBZEoVZafOwCyJhtyFhhaSWw7Qs+0QHS/sIn24jcBXpA6MwNY7CbDn3kTZTX/EKJt5Qvoba1jmMeAUrfUSYAfwSYBcKeybgUXAZcC3cyWzx/EngJhwBdS886T0HZtWPSwlN+tabPnDduRQMrY5JI/s57T3fpVZV/w9RqRwW27ydHPIrcjIlErisyYPHZEfKdhgSGTEIXrauyi74fc4y24nPm9qmL9gSnSg6NywFxkW1kMHKhQ02XuU/Y/uINUyBH9A5IQEzd6twhPBXbaJnvFxEpd8GyMxRHLVcWBMrr7W+tEBvz4HvCH3/2uBn2mts8BeIcQuwpLZa8ZyvXGMHqL2nejMLugaWxrqYBjRHGdgCOJXe1MKL+MNdbgPXrqb3b//Idt++U2CTKrguGEMPXF7rT1E5p8Lcmu4+d+H0QXQrNIYiVPPg9qrYOvVAGSbO/E7Q+0Ar70HfFXgbWitqagQ+Zfsu7QJhgXKw6hcQMnlP6Xz7iXHziTsLactbYzqZcTPuh1z0olR3cm7zAns6x3AQ7n/j7o8thDi3UKItUKItc3NzSdwOOMQM74CCx7kRP6ZM02dQxo9QM1kkylFJLoKoDVbfnpXn1DHYDQeDIacuP2uFNR9kJKLvx2SeOxSQIIhcloDw8y0UmJNOx/XuILsCx8gSHeCSuFUxfDak7hHu4a8v94XwUA1JKTdz7bz06B8grZtBIefxp7z+lHxBPq6Kp9DdPkniCz7ANHTP0LQsZOu395E2//NJLX2a8ddsLPotUZqIIR4XAixucjPtQPa3E4YDfrJsQ7gb7Fa7p8Swq6CCW88Yf2prDfspGqYgpkLRqcO43Z3ULP0vL6pPZ4QLFlhc95lEepnmbQ0BgUPu11TRsnCevS+L2HXzqLy7duJn/0FMGxKF9WTWFiHVR4Ljb/PPmUuPTaKVfcaUttfomf1x0juPkTnS3tIH2pFGJKyZdOJz5lE4pSZiMgoFW6UG7LtBsJPkd3xa0rOvwtjwimj68eMEj/3S8ROvw1nzhtIr/8PyLbjpdNsW9vOI5/7NI+8czGHnnto5L5Gc7mRGmitLxnuuBDibcBVwMW6/680YnnscfwJUfteaHsI1DFowg8Bu7IEt6Vr2O0syx55bbvkLAe38jzmvuXLPPK+8zF1J2df3KtnL4glJIEPvg+mGW4tlsyfglUeRxgSnXwOdm+A+k8hS6dilMYwYjbCMEgsrEe5PsoLELZB906ILrsVWTaLnof/Hgal0qYbWonUViBtE6emDIDShfV0rt87rHczHDSa1Iv/QtC1f8S2smwmsRWfwZ52KQCZV34AQRalNM89niaV1GgFqZ6dPP3ZW1jxsW8z49I3Hde4+q45lpOFEJcBHweu0VoPXKg9ANwshHByJbLnAC+M5VrjOH4IacOCn4E19rLLVmUJZllsSHdaa01LY4Bl5wf2nYigZrJBolxiWjCxTjK15AkicYPL/2cNM+cbfUYP4b+GAUcbfHwPZMzpM3rIud06C4e+jll9KoaVb6PSNjHjDlJKnHnXE1nwFjLr/qNo/rxTW8HgQJwRtak4aw6xmRMxK4aqQjo0/P2PktnwLci2D9NKYs++gYo3r8WZ3edAo90u0IrmwwGZtM5b8gTZFBu+c/sxj2cwxrqP//8AB3gst/55Tmv9j1rrV4QQvwC2EC4B3q/1CdYmGscxQZjl6Nn/D7ZeO3Lj4frJzbzdrxwk6CrCnNOwbYOLUjB7kUl3p2bBqQ5mzjCVgsDTGIZEBR6Hf/EuSlZ+hdJKoyBlXxqCaDwk8JglkQL5fQBUD8IysOa/G+H/pshwJNGZ56NSLXgNxQOdhmPlKRT13auURGoriNRWkG3pJLn9yOi+pN4vYjiYUYQZJXZ2IefCmXMD7r5HSHa3F9UkTLUcPoZxDHH5sZystZ49zLE7gTvH0v84TiyEXY2e+E5o+r8x9SOlRBpG0Q27znZFNh0+9J1tmsUrnBwJJ3QSpAz/bW0KMEwI1DomT53LwRZFvETkpRAHgaa9OVznl9sZotN0flFNABkFrwNHP4buUwzqvWEQpgUHbgcRA0OAAhm1kbaJ350OlyxFsge11iE/X4XLDLdp7MukcLwm1qxrsSaegTP3JmSkvKCJNf1ynDk3UHYkFBkN/PyXSNnU+WMexjhz728MYtI70SUrYPe7x9RPfM4kOtbuzlvrB75m12YPwxJMnJNgxlSvz+h70dIYsP6Z/n1wIQWT39OOMfft+MkfYJgawxAEgcZ3NamkonqywRO/aOPCqglUTo1h2qH1aw2i8lpo/gmodJ83kLcK0Tn6sHKJTa3AiNqh95ATtEjubsSqTBQVuOgtOeY2d524LDwVYFYvJbrkPeE1giyZLT/C3X0/IlqNM+s6dLoZa8pKZrzvnew/8nZa9+wiyGYQ0kDaDstv+8aYhzEuxPE3Ct31HOz9BCFL7/igAkXPtgb8rjTZDOx6xSOrLBZfPpnSiRE61+7CdvqNyfc0T9yfylPJBSifvYSyqfNofPZXTJ1rUlYh6WhRNDX4nHVJlJefy3L0UIA0BfPOr2ba6ZW4mYCOQ2nmX7oUjFLI7Bj5nnOz+ECVIZ0z6L605kHtlevTuXb3cXw7BkPW4jajVL59B5gxuu69HL95fX6WobRIp01aGn1KVnwMbVVy+LmHiFVPYe71/0jZtKFn/NEKcYzP+H+rSKyA6hvD2fI4IQ1J6aKpfb/XDtDN0EqzpymgfkkZdmUJyvVpeLm1KJmtY9dGuht2E2Q0Ozf2G8C0OeHj2cv7V75m6+qjbF0dqgFNP70CvDaIL4XMboY0tByEEIVByeEqgAvRJz3md+fiGXYZuJ1DnQHCIHb25/C7DuJu+zH4heQkIUyCzr14h57GbyqMee/bmmTHxrA2oHjpMxjRci795irKZywc9v6OBeP5+H+jEEIgJr8fat52Uvpva0hRvriOknmTidRWEK2rYubr5lBaW1w1RxWhw2kdhshiRYp7SEtQWhtF40H1m8GI0T+PFS+XXRS5epjDIhd3cOa/BbPm1OJt7FIip32Q8re8RHTZ+0mc/1XK37QGjEKhEK1cRMlkUi98peBYOqXYsdFD5aT5Ak/hdrXx7JfeNsIgjw3jhv+3jknv4kQ6foGn8DIBu55poWZOAmmG63FhSEzHYPmNU4ueZ9oRpBPN+6ypIUAAc5bYGJagbFKE8989i+u/tJjLPrqA+RfW4LX30P6z15Fqnw8VV0FsSUhYqv80miha6REFKnt2HEb5YRCx2AvC60yDU0185VcxEvU5Tn4+rEnLiZ/12fB4DkaiHnvmVSF3v+9GY0QWvQMybVCkcm9rY3GvpX3Xy7g9JyjAyLir/zcPIQR63j2w/fjZfYGnSHW6bH+qiUR1hGzSJ1pmYliF80plXf6MH0mY1C+toGruXJyq+cTN5zEsTeOObrSnSJo+ZZXdnP/39VTPr8Qww+Ig0dJwFjdKo5SeYtO15deorkWUXHYvwoijtaLj/tuITIJIbWHxEK1DAdDkjsN4bT10vLALp6aU6LQa9IB3RPfWBrRSqNRR9v3sNuqvvI3szl/nu/BmlOhpHy763ZRc/F9kNn+P7Na7QZpETvkHnPm3oDOtFHM1KmsMTFvgZgqPNa5/gqkrx7Yd24vx4N44ANA9L8Pu9x73+b6rcrNruGyWlkAaomCmTXW43PfZUEVGSjjjxqnMWF6FtAzEIEPQOV/fzwb0tKQpryspOnPrXC69DjTCtBGJFQTpFMkND5BYMGWIwJ0gtb+Z7JHWAhaiWRZDCIHXlco75vua8r/bgszsJ/n0PxO0b0cmphE/944+1t2xoOv3b8bb/1ie/JfWkE0rnn4oXZAMtPhtn2bJ2z8zbJ/jwb1xHBNEyVL04qdg00Ucs5AFYNr5xtVbIFMFGpnb0vOzARt/P4B8IgWTF4QU2R1PNXJgQwfRUpP5F01kwvSckQuwoiZlU4obPQwQCjEF4EP3M0itidSW963P88YGIATR+kqiU8rp2nQAle7PovM7U8WXB1rQ8fJ9TLzwvZTf+OTov5whkLj0f2j/0WJ0dqCKMVi2pHaqScOefss3InESdXPGfM1ejK/xx9EHIS2Y8/3jOnew5yikQPmaxu1dZLo9Oo6kef6e/ex5rl8XfuZZVUTLLFb/5w42PHCI5t09HNjQwapv7eDQ5o68/pSvCYpUBBryXoTAqigpGrgLNX0U0pAI06Rkbh2Dw/tFBUCEJlo7DwB338O0//h0Wv+rmvafnol7YPWox9bXnxUvKsllmKGwSS+kaROpqGbq+dcd8zWGwviMP448iNgcdN0XoGF4+a6BM+JQy0WtNevvb6DzSHHhir3Pt5KojtDekCbwcn3okNL7ws8OcP2XBrLaNOkun0jC7CPwjHwzw48bwhnWKHHAjoPbM2TbINCkvVJq5r0G78hzdD/6zj6xT9Wxi+6H/46y63+PWb10VEPTKkB178eoXIjf+HzB8YqJDhPmzyHTnWbK2Vew+K2fxHDGXiyzF+OGP44CiKpL0WSh4ctDtxk4I2pQvo+0+qWyVKDoackOafQQGviuZ5oJirDi0l0eB15uY+rSMDDnZxUP/esrvPbttUSqSzDjEaRjFo5liDFqTUjNFRTZyzcLZLq11niuxjAAAS3NDnM/9mI4tnXfKFT4DbKkN3ybxKXfGfJ+e+EefJKex9+D9pJDyoOXlgac99bLiZ/7pRH7Ox6Mu/rjKApRdRWc8jgw8iwjpMBrTxKkXVSg8F1Fpttn/0tt1C5MsPymqVjR4rN04CkMs/hj+NKvDqONKpBxIokol/zDdPzWLpLbDpE+2NLHo+9Fcc/DBFlFkHJRfgA6v53WAlFxGbEVn8sVs7TQGPieYN0ayerfal7aNJ8ZH3oZM1GDynQQtG8vvIxWuDt/Sdv355He9N0hvSCVaqL7obeg083hzsBQdQHMKLLkxEltFXR/0noex188hBFDz7wL9vzTsO1UoAiSWVK7GmluFezY6HHZRxfgphXVMxPMOLMK5Ss2PHA4b50uDUH9sgqad/XQ2TjA3c8h3ZXlkW8eoWZqmvkrS4mWCFLNgAazNIocFK0vPvP7oFrDXH3Rb/S9OwaBnIs55SNEJmsyW+9Gdfz/9s48vs66zvfv7/OcPXuatEmbtulGsS1LoSyWfRFKWYoyKDJyQcaRYcArenFBR8G5V++II+N1nKuAcsUrDIICRYGRsuigtS2l0JW2pKVL0jRNm6VZzvo83/njnKRJc06WJjk5bX7v1yuvPOf3/PL7fXPO8z2//fupQXDw+P3MO8tL8TWPE/I0EV19L9FIM05D/6tOGm6k8y8PILafwLxb+tyP1iwfOCYgglg+/HM/PkC+Y8c4vqFfpOBMNDAXImlaObrGwRA71IbjwAcbOmlvdEnEHJy4S/WZpXi8FrM+XM7O1U20NUZIRF08Pgt/gYcFV1RiX22x9Y0Gav7cSGdLjxZQoWnbRpq2wbbX4Kovzu4Oq+d0RlHH7bNUl/boLkd6912iGNHGw4RrHYpv/iFu2z4iWx7Hbd3V3QKLRinMi6NrPkd7tCXt1tuMJDoJr3sIT9kpxHb9HvEX4J/9May8CnAyaOOJjZU/BTfciLfiHPIu+CesQN/9ByOFWcc3DIi6UdiyDJzeO8dUlUR7hI6aetzOGI6jRDqV1a+FKagI0bIvzJIvz6NoUnK44DpK7YYWDu5uJ3+Cn2kLSwjke3EdJdIW5+UH3yPanlnSqrAiwMU3lRNraEYsoeiMmYhtdy/nDVZCWlWJ7GtGptxDZNNjuIc/IDkGSNcSH6MCjuUDy4ZENBmEU2wKr/01VmgiLU+d31vp1/Lim3E1BVc+NvR6jrZ2kOv4xvENg0KdMGy6rFdatPEwHTX1vTa5uK4SDsOfXupkyoJiZp47gcq5Bdg9hDcTMYfXfrSdooogZdV5NNeF+eCtQ5TPyKdibiH1W1vZvzV9EM6PfedUPDjEWzvwFCTj3/dcXRiU4ycc2mv2Ez+Uvo7eDCDQYflIKusMLLJhFVZT/NdvE9nyOJ1/+hpieVFc7MJqCpctH5EW3mzgMYwoYgfRuU/Btpu607ocJzitDF95EagSqW9GDrRyzX3zCBT58PgsXDcZ0CIRc0nEXba90cD8j1QSLPKyd30zO1cfYvEt1VScXIjXb6OqHKhpx030bZRW/GAbF35mFoWTJ6SN/pWpq99933FxYgniTYNwesuXDATqZFiZsAP45t5E/IOX0PCBAYtz2+vQaAvB+bfhn7WMxP41WKGJ2OWnj4i46VAwjm8YNBKYhs5+BGruABTxeSj4UFWy1U2NtUPTy/GVFWCF/N2z9bYlJGIOW17bT0tdmPNum9G9576oIsjMc8oIt8S681edUszGF9OHl+o4FCMWtkEEVfeoNXmhq4VW6O6hq+vidEYRyyLe1EakrmmA3rvdY8lPQLxHAnoAWF4QC8/0j5D34ftp3jrIo81iJzftAFagBE/VZdSu/B2NTz9J4bSTqL7sE3jzCgdX1jAxXX3DkNGOzbDj73HCnck99kdPsGXoch+oaSNY7KOgrPdR1XjEYdWTu2jY3saFfzuLibMK2PLafja8uK9Pq3/SxRWccf00LCvD2XtvBe6EO+lcdQ+WxyVYWUSkvplw7UFwBvOs9zemF7C8WCUnYxfNIL7r5dREnaSR2+7S/EsNEzxBAvM/3b0u78RjvPaFK2muWU8i3IEdCOENFXDVI38hVJ5WgmJQDLarb9bxDUNG8uZD9XexA95+o+2me50/wdcnr+21KCjzE+t0+MNPakhEHeZdVsGld/fdm169sCij06taRBpaaP39vcTq9hOYWNAdSGMw6rYtTQ5uv/kU3BjuoQ3Edy5PxtRXJ63Ti68Ab/VV4AkhwTKCZ9xD6MPf6s6x+/VnaH4/6fQATqSTaMtB3n30mwPaORKYrr7hmJDCc9HK/w770sR/SzPQFhEKJgbS3nMSLs11qZ1wAvXb2qicW8COlX1DYbuJvk6f7NYrsaZWOrft64626URiWD4P3qIQ+SdPoWNnAxpNHFHH7SrTVd75U5TWJoeLrw31NXCI2GULyL/8YTylmUNk1a95hUSko/f/4TrsX/fGsOoeLKbFNxwzMvEmKFmKOm53EAt1XJyOSNquvj/f0yeMtaoSbU9QvzW1VKgQbo2x5ld7+GBNU6+8cxZ48YZbu+PkdeEmXA5vqaNja12v4PodO/Z3nxL0lRZQsmg2JeeehB3qPdSo3ZngUINDLAqx6DCHvuLBW3Vxv06vqlheL2L13c04nG7+UBgRxxeR/yEiKiJlqdciIj9MyWRvEJEzRqIeQ+5hTf8G8cBfEd3fQqS+mcMbdhOpb0aPClmdiLlpVWnUVXb8pbF7WO3EXaxDBygNdlBSfuTx9AeF6pO9aFsnHTv248adZICMWILaVXU4LUcO2HR9CbmdsaSiTsLBdVzUcYnUN+O0956l37c70R1he/PaGE5CB+jy94M6aD+bfdR1efObN7H79V+jRwXNt/3BAc/bjxTD7uqLyFTgCmBPj+RVaeYcAAASUElEQVSrSKrnzAHOAX6c+m04AfHPu5fmLS/iC9ThLc3HN6GAQ3s7Ka4MJn1dobmuk87mGNMWlnafz4fUpp6NrYiVVMg9fbGf0vLkYzlhos3G1VH21zoUlVq4TjJPrPEwscbDiG0RjzrUvxcj+CEfArz3Tox9uxOoC+WVNvMjNeRX5mP5PMRbO3EjfffGe3tEAm6sd1i5IszUmR7yiyzKphQQOOs+Iu/+sI/0VlrExj/7oxlv731zOfVrVuBEex/y8RWU8OH7fsrks68YuI4RYCTG+P9CUkZreY+0ZcAvUlp6q0SkWEQqVXUoUiSG44ii61+i87enEpo+gea6MK98fxvFk4OUVIVoOxDh4K4OEMgr9VE8OZRcJbOEzSv2J0/wSVJ5p6ziyCNpe4S5C33srw0T7tA+stnquAhQuyPB1Fletr4TpXGf2916N9Y7rHkjzPlLMp/gA6g+pYLGuiPSjh2Hle0b45xxvh9w0PY9SPFsdP8gHF8TeCcvznh775vL+4ztATzBPKrOu2bg8keIYTl+SjG3TlXXH/XGZpLJ7uP4IvJZ4LMA06alD8RoyH0sT5DApStofXYxG1clW7OWfWFa9vVo2RRW/GA7k+cVEij00rC9jY6mWPe9HVsS7NiSQASqZnmZPd9LIJh8rtpaXA43uRSVWt0y1YmEUrsjTiwKG1ZHaT3o9hLFUYVIp9J6yKW4LMMZfk+Q6Tf+C4cL3uT9Z3+UjONnw0mn+ZJfQk6M6KafcUzbdtMQLK1APF400bvn4S+cMCLlD5YBHV9EXgUq0tz6OvA1kt38Y0ZVHwEegeQ6/nDKMowtnqJqim7eSmLlGUDmce6+LemjxcaPRL9i17Y4kQ5lzqleLCt5lH7tf0aYPd/L5OkeHAf21MTZvT25lDZ1VoDWQ2li2NNzws4isPDzOK07SNSvxMqrJHTWV/DNWMqiu5ex8G/+gfb1vyC+/kHE6VnWEB5LT/rw4U3b36WttobJ51zB9uUP4/RwfDsQYv6nvjL4OkaAY5bJFpFTgBlAV2tfBawTkbMxMtnjFstfyLn/63WWf3x48eFcB/bvTRCNHGnFXQe2b4gnxSaOorQcvF4hetQmHVehpLyrtXeJbvk5xbduQSMHsYITEduLOjHa/3APsZrnkko7bqxP+YMl74IHe712ohHe+Mp1HHzvLcSy0UScikWXcXjv+7Tt3Y6/uJzTbn+A6ZfccMx1HgvH3NVX1Y3AxK7XIrILWKSqB0XkBeBuEXmK5KReqxnfjx/yJ01j3s33suXJfx5WOa4LhxoGF2evrcXh1HN9rHsz2mu77oLz8glV5BFvSs76a7SZ5kendh+N9VRdjF06l9iO55NHZoeIBCeBx4cVqiC0+B/xVfaew97879/n4ObVOLEjKwkN6/7Aed98nMnnLsWyBxlGbIQZrXX8l4CdQA3wKPD3o1SPIUdZeMe3WfrY23hC+aNWhwiceq6PC64KEo24lE60uei6ECef7uOk03ycvzTI5Eol3tLRe0+OJuiS0EnUvkF0wyOQSHMQRzzgyQOs1Cm83tiTzsK/4NPgxHGbthLd9DPczsZeeXateLKX0wMkIh18sOKpMXN6GMGde6pa3eNagbtGqmzD8UnJrAUseWQVv/vUglEpXxU2rIrh8UIwT+hsVz50WQUzSjpxOnq03gOuyafrVdh4p16Cb/b1eKdcRHTbk8R2v4rYPtSJYPkKwRsisu4H3af3YjXPk2h4m+Kb13RvzvEE8/oWLVbWDuNkwmzZNYwqRVPnUHXetdT++bejVkciDm0tSltrgr0793H+dQX4h7frFmwvocXf6t6BF1p0LxpvJ7Lxp5DoTC/PqQnc9lpanrkIba/DKpjO7EsvZ93e93EiRyYLbZ+fOdd+ZpgGDg+zZdcw6lzwP39F/pRZo1+RJqPxfrC+7zp5n6y9Am4mFYD6nFTtEUnXDR8isv4nA4fgcuO4h7ag0Vacgxsobfs5c5fegB0IYfuD+ApKOOdLP2bCyWcO6V8baUyLbxh1LNvm2l9u4vlPzCF8oHZU61KFiqn9P9Z9Y+v3OHvfhRPh8MufouS/JeW+2l69M3kab4iIE2HmtHpOfaGeSGsjwdJKLM/Yu51p8Q1ZwbIsrvv/GymsHjmN93T4AlBY0v9j3d8uvl49gehhnKatxHa8QGLfn4/ZJrdtD7Y/QN7EqTnh9GAc35BFPIEQS3+6mtCk6aNWR0mZnSlEQC8GFYBGHcQTJLr9GXDCaTIIEizvvwyx8VRdNHBdWcY4viGr2F4fSx/9C1Yg/Q634RAqgPmL/APGr+tyetfVPmP9XkOAoplY+ZNJtOxIW47kVaKxfmL32QEkUEro7PuG8F9kB+P4hqzjL5rAjcvrEI93RMuNdEKkc+ANP8nY+mBZyd+Oo2nDhWnTezQ9MgVt2Z62HM/kxWk3/agqze0T8J/5VYpvfgs7Pztn7IeCcXzDmOAJhDj7i/86omWqQtPhwX2ZWKmAIJYlWFamcX+mWPupu+11ZNrHv/6PDbzz21VY/rFdr8+EcXzDmDH76k+z+Bu/GLHyLNsiNCGUMQ5gJo41tHVi/1vJ3X1HoS7gxKj9029xYkPfBpwNjOMbxpQZl3+C63+9M6k6M0zEhurzJuEtzkvG1RttNNEnqpDrKh1tSiSsqLqok1kZaCwxjm8Yc/LKp/DJV9uGPeaf/KFCou0J/FPLsLyZv0hGNKS8CCo28biSiCvRiPLOnyOIZVM275z0W3ZzAOP4hpzAsm1mD3Mb6553WnjxO1tY/dg23GjmlnZEVWs0gYiXWNXtrFuprHzdQ8zNIzRxKud94+cjV88Ikxu7CQwG4My7HmTPH54l2twwqPxdo4NJVTb+gEXTAYfDzS6JNNJbA6HaNTWQWStPimahrWmW9jw+Ks+5jsol99Ow/k18eUWUn7IYsXK3XTWOb8gZbK+PG57bzYrPX0Hj+v8cML/rwOIrg4TykjPzql7qdiUIhIbeoh/pBGSYxbe8+GdeQ2TTTyF+1FkAJ4ZddhpWoJCqxVcPue6xIHe/kgzjEhHh8odeomQQh1hEoKE2jscrWLZge4SqGR7KK4cwUWgPUkDD8hCYdyt5F34PPMHkTCIWeIKEzvk6VqB48HXmAKbFN+QclsfL0odX8sRF/n7zJYNpHvW39hBae/Fil56E0/hupgwgHqy8ieRd8kPsomrsomo8ZacS3fYrcOP45/wVnknHn2yEcXxDznL2l37Mmu/dmfG+ZTO01v1oNI7TUtNvlryPPIx/1rJeE4KeCfPwLP5WP3+V+5iuviFnmXPN7Sz9f28TmFCZ9n5egTBxylGOP9Thfby9n5tK58pv0vLLhbT8ZgnRHaMXTCTbmBbfkNOUzFzADc/u4s37b8be/zyJOHS2K5OqPEyd2VuLz8r3o3EnKYw5Qmh7bXJTbtse2l/biNu2m+Dpd49Y+WOFafENxwWn3Pp1Ssp9zDvTz1kXB5k229tbgFPA9noHJYd9zCTCdL71IOoce/jtXMG0+IbjguKZ8wmfdRvUZtjbrxBvbh+uwnUfXEfZ/X6cPTUJomFFtYOSNedx1hf+jbJ5Z49sZVlk2C2+iHxORLaKyGYRebBH+n0ptdxtInLlcOsxGCZd+xASHEBqasgNfv/ReN5+M8L2jXHCHYqbEvxt2r6B176whLa69Of0jweG5fgicglJgczTVHU+8M+p9HnATcB8YAnwf0Vk7IKIG04ILMui5JaNeKfMH8FSM39THG5yaTnopj2Zm4hH2f78wyNoR3YZbot/J/BPqhoFUNUDqfRlwFOqGlXVD0gKaxy//SJDzmB5AxRc90e8FZNGva6O9n6CejgJOhr2ZL6f4wzX8U8CLhCR1SLyRxE5K5WeSS3XYBg2IhahS18c9XoKiuy0CjoAlj903GzPTceAji8ir4rIpjQ/y0hODpYC5wJfAp6WIR59EpHPishaEVnb2Ng48B8YDICneCZFf70O/KWjVkdBqZ/Kcz6C7Q/2Shevn7KTz6T68ptGre7R5pjVcgFE5E7g2ZRk1hoRcYEyhqCWa2SyDceKp6ia0ts20/SzWQMLXQwBxUJVaGExp9/xHaZesJadrzxBorONoup5TLvoeirPvnJMte+Gy3CX854HLgHeEJGTAB9wEHgBeFJEHgImA3OANcOsy2Dog9h+im54hdZfnT8i5R1sKeXg7gYO1MbpbH8J69evcv4DT3D5Qy+PSPm5wnDH+I8BM0VkE/AUcKsm2Qw8DWwB/gO4S1XTyo0ZDMPFM2Ee9pSLh11OR9jD2t/vZdfWGJ3tqRDc8Rgrv307rnNiPb7DcnxVjanqp1R1gaqeoaqv97j3bVWdpapzVfXE+ro05BxF1/0GKR/4lFzGsFviYdfOgrS3EuF2Ohp2D8e8nMNs2TWcEIgIpTe+Ssln9uA5+Rawgxnz9UnLn0rBVb+A0rPS/AWgSqB4AMWc4wzj+IYTCsuXT9Gl/4eSW9Z1p2Vq5VWVWCJAc+nn0NKzmXrR9SB9XSI0sQpvKH1v4HjFOL7hhESdePd1phVmEcGWMNt/+WWev3E2gaIySuachthH5rwtr5+L//fzo25vtjGHdAwnJHZBFXjyIdHfeftk+K6Jk2I01cdZ+e1Pc92/b2PPG8+wb80rFFbNYc6yvyVUfuLtPTOObzhhKfzoyxx+5oK0ung96ZqwT4Q76GzYzayltzJr6a1ZsnJsMF19wwmLt3w+eUueABESCcV1tM94X13YtysZuMN1EvgKSsbC1KxjHN9wQhOYeRVFn3yLPe/H2fpujPo9CRwnqXoTjykbVkfpaFMsr5+KMy8hOKFirE3OCqarbzjh8ZbMYtKS+1n5/X9gTw14vDH8AaGzQ1G1sDxepl38sRFX781ljOMbxgXTrv4S4bCfdx/5Buo6RGM2p99xPyff+HlEJKdVb0YDGVEBwWGyaNEiXbt27VibYTiBceIxwofqCZZWYPv6j9t/PCIib6vqooHymRbfMK6wvT7yK6aPtRljzvjq3xgMBsA4vsEwLjGObzCMQ4zjGwzjEOP4BsM4JKeW80SkERiriAdlJMOG5SK5aluu2gW5a9to2zVdVQcMHpBTjj+WiMjawax/jgW5aluu2gW5a1uu2GW6+gbDOMQ4vsEwDjGOf4RHxtqAfshV23LVLshd23LCLjPGNxjGIabFNxjGIePe8UXkARGpE5F3Uz9Le9y7T0RqRGSbiFyZZbu+JyJbRWSDiDwnIsWp9GoRCfew9yfZtKuHfUtS70uNiHx1LGxI2TFVRN4QkS0isllEPp9Kz/i5Ztm+XSKyMWXD2lRaqYisEJH3U7+zH/ZHVcf1D/AAcG+a9HnAesAPzAB2AHYW7boC8KSuvwt8N3VdDWwa4/fMTr0fM0nKpq0H5o2RLZXAGanrAmB76rNL+7mOgX27gLKj0h4Evpq6/mrXZ5vNn3Hf4vfDMuApVY2q6gdADXB2tipX1VdUNZF6uYqk8GiucDZQo6o7VTVGUj5t2VgYoqr1qroudd0GvEfuS7IvAx5PXT8OXJ9tA4zjJ7k71aV+rEe3awqwt0eeWsbugbod6ClDNkNE3hGRP4rIBWNgTy69N92ISDWwEFidSkr3uWYbBV4RkbdF5LOptEmqWp+63g9MyrZR48LxReRVEdmU5mcZ8GNgFnA6UA98P0fs6srzdSABPJFKqgemqepC4IskVYkLs2VzriIi+cBvgHtU9TBj+LkexfmqegZwFXCXiFzY86Ym+/tZX1obFxF4VPXyweQTkUeB36Ve1gFTe9yuSqVlzS4RuQ24Brgs9YCgqlEgmrp+W0R2ACcB2YxZNurvzVAQES9Jp39CVZ8FUNWGHvd7fq5ZRVXrUr8PiMhzJIdJDSJSqar1IlIJHMi2XeOixe+P1BvfxUeBTanrF4CbRMQvIjOAOcCaLNq1BPgycJ2qdvZILxcRO3U9M2XXzmzZleItYI6IzBARH3ATyfcr60hSKeNnwHuq+lCP9EyfazZtyxORgq5rkhO2m0i+V12KHbcCy7Nt27ho8QfgQRE5nWR3axdwB4CqbhaRp4EtJLvad6lqNkXSf0RyRWFFSgVmlar+HXAh8I8iEgdc4O9UtSmLdqGqCRG5G/g9yRn+x1R1czZt6MF5wC3ARhF5N5X2NeCT6T7XLDMJeC71+XmAJ1X1P0TkLeBpEfkbkqdRP55tw8zOPYNhHDLuu/oGw3jEOL7BMA4xjm8wjEOM4xsM4xDj+AbDOMQ4vsEwDjGObzCMQ4zjGwzjkP8Cdv/kG/81P8IAAAAASUVORK5CYII=\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "a = 4; b = 4; gap angle = 0° :\n", "\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "a = 4; b = 4; gap angle = 360° :\n", "\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "a = 4; b = 4; gap angle = 45° :\n", "\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "a = 4; b = 4; gap angle = 270° :\n", "\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "a = 4; b = 4; gap angle = 180° :\n", "\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "a = 4; b = 4; gap angle = 90° :\n", "\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "for a in {.5, 1, 2, 4}:\n", " for b in {.5, 1, 2, 4}:\n", " if b>a:\n", " continue\n", " for gap_angle in {0, 45, 90, 180, 270, 360}:\n", " print(\"a = \" + str(a) + \"; b = \" + str(b) + \"; gap angle = \" + str(gap_angle) + \"° :\\n\")\n", " x_ellipse = mllab.pca.map_on_ellipse(xq_31, a = a, b=b,gap_angle = gap_angle) \n", " Vq_ellipse, xq_ellipse = pca(x_ellipse,2)\n", " mllab.pca.plot_toy_2d(xq_ellipse,y)\n", "None" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The PCA presses the data into a plane. Probably thereby the distance the points have to be moved, to get into the plane is minimized. This explains, why for some angles we get a view from the side and for others a front view." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Task 3.3 - PCA on Iris\n", "\n", "First compute the singular values of the Iris dataset, then check how many percent of the variance the first two principal components capture." ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [], "source": [ "from sklearn.datasets import load_iris\n", "iris = load_iris()\n", "iris_x = iris['data']\n", "iris_y = iris['target']" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [], "source": [ "# computing the captured variance\n", "\n", "def captured_variance(singular_values, q):\n", " sum_q = np.sum(singular_values[:q]**2)\n", " sum_d = np.sum(singular_values**2)\n", " \n", " return sum_q/sum_d " ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "capture variance\n", "For q=1: 0.9654296885622258\n", "For q=2: 0.9983676589194722\n" ] } ], "source": [ "# Compute singular values\n", "iris_U, iris_D, iris_V_T = svd(iris_x)\n", "sing_val = np.diag(iris_D)\n", "\n", "# Plot captured variance for q=1,2\n", "cap_var_1_33 = captured_variance(sing_val,q=1)\n", "cap_var_2_33 = captured_variance(sing_val,q=2)\n", "\n", "print('capture variance')\n", "print('For q=1: ',cap_var_1_33)\n", "print('For q=2: ',cap_var_2_33)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Plot 2D PCA.**\n", "\n", "Now apply PCA and compute the first two principal components. Plot the projected 2D data in a scatter plot such that the three labels are recognizable. What do you observe?" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In 2d the three classes are well seperated, in 1d some information must be lost since they are not as well seperated." ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Apply PCA \n", "iris_Vq_2, iris_xq_2 = pca(iris_x,q =2)\n", "\n", "# Scatter plot 2d\n", "mllab.pca.plot_toy_2d(iris_xq_2,iris_y)\n", "None" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "scrolled": true }, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def plot_1d_iris(a, b, c):\n", " \"\"\"Show a 1D plot of three 1D datasets a, b and c.\n", " \n", " Top to bottom plotted in order is a, b, c.\"\"\"\n", " left = min(x.min() for x in (a, b, c))\n", " right = max(x.max() for x in (a, b, c))\n", " for i, (x, c) in enumerate(((a, 'red'), (b, 'blue'), (c, 'green'))):\n", " plt.hlines(i * .3, left, right, linestyles='dotted', colors=[(.8,.8,.8,1)])\n", " plt.eventplot(x, colors=c, linewidths=.5, linelengths=.25, lineoffsets=(2 - i) * .3)\n", " plt.axis('off')\n", "\n", "# Plot 1d\n", "iris_Vq_1, iris_xq_1 = pca(iris_x,1)\n", "\n", "plot_1d_iris(iris_xq_1[np.where(iris_y == 0)].flatten(),#\n", " iris_xq_1[np.where(iris_y == 1)].flatten(),#\n", " iris_xq_1[np.where(iris_y == 2)].flatten())" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "While in two dimensions it is almost possible to seperate the data, in one dimension there is quite some overlap. But still one can observe, that they are \"seperated\"." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Build linear SVM classifier for Iris.**" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [], "source": [ "from sklearn.svm import SVC" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "q = 1; accuracy = 0.8266666666666667\n", "q = 2; accuracy = 0.96\n", "q = 4; accuracy = 0.9866666666666667\n" ] } ], "source": [ "# Your classifier here\n", "\n", "# x input data \n", "# y labels\n", "# q is the wanted dimension for x (x->xq by pca)\n", "\n", "\n", "def build_classifier(x_, y_, q_):\n", " if(q_ == len(x_[0])):\n", " xq_ = x_\n", " else:\n", " Vq_, xq_ = pca(x_,q_)\n", " clf = SVC()\n", " clf.fit(xq_, y_)\n", " acc = clf.score(xq_, y_) \n", " return clf, acc\n", "\n", "# Print accuracy on 1, 2, and 4 dimensions.\n", "for q in [1,2,4]:\n", " calssifier_2, acc_2 = build_classifier(iris_x, iris_y, q)\n", " print(\"q = \" + str(q) + \"; accuracy = \" + str(acc_2))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Pedestrian Classification\n", "\n", "### Task 3.4" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [], "source": [ "input_file_path = \"data/pca_ped_25x50.mat\"" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "__Read the file above into a NumPy array__" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [], "source": [ "from scipy.io import loadmat" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [], "source": [ "# Your code here\n", "\n", "data = loadmat(input_file_path)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "__Get the training data out__" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [], "source": [ "# Your code here\n", "\n", "# we are reading the matrices into arrays and cut of the labels\n", "\n", "train_ped = np.array(data[\"ped_train_int_25x50\"])[:,1:]\n", "train_garb = np.array(data[\"garb_train_int_25x50\"])[:,1:]\n", "\n", "test_ped = np.array(data[\"ped_test_int_25x50\"])[:,1:]\n", "test_garb = np.array(data[\"garb_test_int_25x50\"])[:,1:]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "__Normalize the data to the range [0, 1]__" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [], "source": [ "# Your code here\n", "def normalize(X):\n", " max_val = np.amax(X, axis = 1)\n", " min_val = np.amin(X, axis = 1)\n", " scale = max_val - min_val\n", " return np.divide(np.subtract(X.T, min_val),scale).T" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [], "source": [ "normalized_train_ped = normalize(train_ped)\n", "normalized_train_garb = normalize(train_garb)\n", "\n", "normalized_test_ped = normalize(test_ped)\n", "normalized_test_garb = normalize(test_garb)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "__Write a function to plot an image__" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [], "source": [ "# Your code here\n", "\n", "# data_ped = images with pedestrian \n", "# data_garb = images with no pedestrian\n", "# n = number of randomly chosen images that are shown of each\n", "\n", "def plot_im(data_ped, data_garb, n):\n", " \n", " # Choose random images for data_ped\n", " i_ped = np.arange(len(data_ped))\n", " np.random.shuffle(i_ped)\n", " i_ped = i_ped[:n]\n", " \n", " # Choose random images for data_garb\n", " i_garb = np.arange(len(data_garb))\n", " np.random.shuffle(i_garb)\n", " i_garb = i_garb[:n]\n", " \n", " # The chosen 10 images\n", " ped = data_ped[i_ped]\n", " ped = np.resize(ped,(n, 25, 50))\n", " garb = data_garb[i_garb]\n", " garb = np.resize(garb,(n, 25, 50))\n", " \n", " fig = plt.figure(figsize=(12.5,25))\n", " \n", " for i in range(n):\n", " axis0 = fig.add_subplot(n,2,2*i+1)\n", " axis0.imshow(ped[i],cmap='gray', vmin = 0, vmax = 1)\n", " \n", " axis1 = fig.add_subplot(n,2,2*i+2)\n", " axis1.imshow(garb[i],cmap='gray', vmin = 0, vmax = 1) \n", " \n", " plt.show()" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plot samples\n", "\n", "plot_im(normalized_test_ped, normalized_test_garb,10)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Task 3.5 - Eigenpedestrians" ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [], "source": [ "from sklearn.decomposition import PCA" ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [], "source": [ "# Compute PCA\n", "\n", "training_data = np.append(train_ped, train_garb, axis = 0)\n", "\n", "pca = PCA(n_components=1250)\n", "\n", "pca.fit(training_data)\n", "None" ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [], "source": [ "# Plot some eigenpedestrians\n", "\n", "# plots eigenvectors a to b \n", "def plot_eigen(eigen_data, a, b):\n", " fig = plt.figure(figsize=(12.5,25))\n", " \n", " for i in range(b-a):\n", " to_plot = normalize(np.reshape(eigen_data[i+a],(25,50)))\n", " axis=fig.add_subplot(b-a,2,i+1)\n", " axis.imshow(to_plot, cmap='gray', vmin = 0, vmax =1)\n", " \n", " plt.show()\n", "# getting the eigenvectors by .components_ \n", "eigenpedestrians = pca.components_\n" ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Eigenpedestrians from 0 to 20:\n" ] }, { "data": { "image/png": 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\n", 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Eigenpedestrians from 50 to 60:\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Eigenpedestrians from 100 to 110:\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# getting the eigenvectors by .components_ \n", "eigenpedestrians = pca.components_\n", "\n", "# eigenpedestrians from 0 to 20\n", "print('Eigenpedestrians from 0 to 20:')\n", "plot_eigen(eigenpedestrians,0,10)\n", "plot_eigen(eigenpedestrians,10,20)\n", "\n", "\n", "# eigenpedestrians from 50 to 60\n", "print('Eigenpedestrians from 50 to 60:')\n", "plot_eigen(eigenpedestrians,50,60)\n", "\n", "# eigenpedestrians from 100 to 110\n", "print('Eigenpedestrians from 100 to 110:')\n", "plot_eigen(eigenpedestrians,100,110)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In the first eigenpedestrian, one can observe shadows of pedestrians. For the later eigenpedestrians the shapes get more abstract and one can not really see any familiar shapes.\n", "\n", "This leads to the assumption, that the most important features the PCA devides the data with are shapes of pedestriants." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Task 3.6 - Linear SVM classifier" ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [], "source": [ "training_data_cl_ped = np.append(train_ped, train_garb, axis = 0)\n", "test_data_cl_ped = np.append(test_ped, test_garb, axis = 0)\n", "y_training_cl_ped = np.zeros(np.size(training_data_cl_ped[:,0]))\n", "y_training_cl_ped[:np.size(train_ped[:,0])] = 1\n", "y_test_cl_ped = np.zeros(np.size(test_data_cl_ped[:,0]))\n", "y_test_cl_ped[:np.size(test_ped[:,0])] = 1" ] }, { "cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [], "source": [ "from sklearn.svm import LinearSVC\n", "\n", "def get_accuracys(training_data, test_data, y_training, y_test, q_min=10, q_max=1250, num_q=50):\n", " result = list();\n", " for q in np.linspace(q_min, q_max, num_q, dtype=int):\n", " print(\"Processing: q = \" + str(q), end=\"\\r\")\n", " pca = PCA(n_components=q)\n", " pca.fit(training_data)\n", " transformed_training_data = pca.transform(training_data)\n", " transformed_test_data = pca.transform(test_data)\n", "\n", " svc = LinearSVC()\n", " svc.fit(transformed_training_data, y_training)\n", " \n", " acc_train = svc.score(transformed_training_data,y_training)\n", " acc_test = svc.score(transformed_test_data,y_test)\n", " result = result + [[q,acc_train,acc_test]]\n", " print(\"Done! \")\n", " return result" ] }, { "cell_type": "code", "execution_count": 32, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Done! \n" ] } ], "source": [ "svc_accuracys = get_accuracys(training_data_cl_ped, test_data_cl_ped, y_training_cl_ped, y_test_cl_ped)\n", "# Compute scores of linear SVM when using increasing q" ] }, { "cell_type": "code", "execution_count": 33, "metadata": {}, "outputs": [], "source": [ "# Plot q vs scores\n", "def plot_svc_accuracys(list_accs):\n", " accs = np.array(list_accs)\n", " fig = plt.figure()\n", " ax1 = fig.add_subplot(111)\n", " ax1.plot(accs[:,0], accs[:,1], c='b', marker=\"s\", label='training')\n", " ax1.plot(accs[:,0],accs[:,2], c='r', marker=\"o\", label='test')\n", " plt.legend(loc='upper left');\n", " plt.show()" ] }, { "cell_type": "code", "execution_count": 34, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_svc_accuracys(svc_accuracys)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "From what we see q around 200 seems to be the best choice for the test data. The traing data more or less gets only better for increasing q. This is, what we were also able to see in task 3c. There we also only tested on the training data." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Task 3.7 - HOG features" ] }, { "cell_type": "code", "execution_count": 35, "metadata": {}, "outputs": [], "source": [ "# Implement HOG features\n", "\n", "import hog\n", "\n", "training_data_hog = np.array([hog.extract(image.reshape((25,50))) for image in training_data_cl_ped])\n", "test_data_hog = np.array([hog.extract(image.reshape((25,50))) for image in test_data_cl_ped])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**To test you implementation test data is availabe.**\n", "\n", "The array `image` is the input, and `steps` contains the values of the inner variables of the HOG algorithm." ] }, { "cell_type": "code", "execution_count": 36, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Number of bins: 9\n", "Cell size: 8\n", "Block size: 2\n", "Unsigned directions: True\n", "Clip value: 0.2\n" ] } ], "source": [ "image, steps = mllab.pca.hog_test_data()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "** Repeat task 3.6 with the HOG features.**" ] }, { "cell_type": "code", "execution_count": 37, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Done! \n" ] } ], "source": [ "# Your code here\n", "svc_accuracys_hog = get_accuracys(training_data_hog, test_data_hog, y_training_cl_ped, y_test_cl_ped, q_min=10, q_max=360, num_q=25)" ] }, { "cell_type": "code", "execution_count": 38, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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