{ "cells": [ { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "# Localization windows and spectral analysis\n", "\n", "Now that we know how to work with spherical harmonic coefficient and grid classes, let's move on to the other major feature of *pyshtools*: localization windows and spectral analysis. *pyshtools* allows for localized spectral analyses using either spherical-cap localization windows or localization windows constructed from an arbitrary mask. As with our examples in the previous notebook, a single class, `SHWindow`, bundles the relevant *shtools* functions. Here, we will demonstrate how to construct optimal localization windows, and how to obtain localized spectral estimates for arbitrary regions on the sphere.\n" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "## Spherical cap localization windows\n", "\n", "To demonstrate the localized spectral analysis routines, we will make use of a pathological data set. In particular, we will construct a function on the sphere whose power spectrum is different in the northern and southern hemispheres. First, import the standard modules:" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "%matplotlib inline\n", "from __future__ import print_function # only necessary if using Python 2.x\n", "\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "import pyshtools" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Next, create two grids using random coefficients that have power spectra following power laws of -2 and -3, up to and including degree 300:" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "ldata = 300\n", "degrees = np.arange(ldata+1, dtype=float)\n", "degrees[0] = np.inf\n", "\n", "power_north = degrees**(-2)\n", "power_south = degrees**(-3)\n", "\n", "clm_north = pyshtools.SHCoeffs.from_random(power_north)\n", "grid_north = clm_north.expand()\n", "\n", "clm_south = pyshtools.SHCoeffs.from_random(power_south)\n", "grid_south = clm_south.expand()" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Next, create a new grid that contains data from the northern hemisphere of one grid and the southern hemisphere of the other. The `SHGrid` method `from_array()` returns a copy of the data, so you don't need to worry about modifying the original data set:" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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oOE5UcBNWpBqx1qgWWQVm7ikIuRqw1og/217siEIO9gtnteioKHAH7JLsAWCt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\nP1XexXb7MaPaAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "grid = pyshtools.SHGrid.from_array(grid_north.data)\n", "\n", "nlat = grid_north.nlat\n", "grid.data[nlat//2:nlat+1,:] = grid_south.data[nlat//2:nlat+1,:].copy()\n", "\n", "fig, ax = grid.plot()\n", "clm = grid.expand()" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Here, we made use of the grid attribute `nlat`, which is the number of rows of the gridded data, and we modified the raw gridded data for `grid` that is stored in the `data` class attribute.\n", "\n", "Next, let's construct some spherical-cap localization windows. This is done using the constructor `from_cap()` that is associated with the `SHWindow` class. The other option, as we will demonstrate later, is `from_mask()` and takes as input a user defined mask. For spherical-cap windows, we need to specify both the angular radius of the cap and its spherical harmonic bandwidth, and for this example we will use an angular radius of 30 degrees and a bandwidth of 29." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "capwin = pyshtools.SHWindow.from_cap(theta=30., lwin=29)" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "This command calculates the spherical harmonic coefficients of the spherical cap windows along with their associated angular orders and concentration factors. If you ever need to access these directly, they are stored in the class attributes `tapers`, `orders` and `eigenvalues.` By default, `theta` should be provided in degrees, but this can be input in radians by specifying the optional parameter `theta_degrees=False`. If you are curious to see what these windows look like, you can plot them using the built in method `plot_windows()`. Let's plot the first 35:" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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1eT73Ai8G3pff4vkC8IhxCmqMjWnFKILpxCiKacUogulkQkzsPd8i8kjgo8AP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3wW67MPcTPf013vPcK1Tn+WfzirnACOdn0+En23OWbNd7GM9qHNoLVpGE+MTgxxMVoxxMHoxJCa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\nCfH/oMwnKmwP06sAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, axes = capwin.plot_windows(35, legend=False)" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "As is seen, the windows are centered at the north pole, the concentration factor is noted above the window, and almost all of these windows are very well localized. If you want to know how many windows have concentration factors larger than a specified value, you can use the method `number_concentrated()`:" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "text/plain": [ "34" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "capwin.number_concentrated(0.99)" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "If you are really curious about the windows, you can return an `SHGrid` class instance of an individual window using the method `to_shgrid()`, you can return the spherical harmonic coefficients of individual windows using `to_array()` and `to_shcoeffs()`, and you can also return as a numpy array the power spectra of one or more windows using the method `spectra()`. If you want to plot the power spectra of the windows, this can be done using the built in method `plot_spectra()`:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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ZlrVoJbkvOZB5gtETFyHAx7f2pVXDwJhOUhEiQoMZd2Zrrurdgv/+sIU3F+xg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\n7L3bmZzCM3y4PoVr+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jCF5EkjyJluIYQQQgghLEz6dAshhBBCCGFhUnQLIYQQQghhYVJ0\nCyGEEEIIYWFSdAshhBBCCGFhUnQLIYQQQghhYVJ0CyGEEEIIYWH/D07P19WMEySKAAAAAElFTkSu\nQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, axes = capwin.plot_spectra(15)" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "In general, we will not perform localized spectral analyses at the north pole, so let's rotate the windows so that they are centered at 45 degrees north and 90 degrees east. This is easily accomplished using the `rotate()` method. To speed things up, we will rotate only the first 50 best localized windows, and not all 900 of them:" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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L7rR6VUV81vEkUSbLfyTlL61+WZvybK3JPugiwy1E2Xu+4290soCvBc4vxKKI\nu4AXY99fwji1IYVavlk2ApKMTmUJlqKoZpEYSZZNy6sjppsum5afRlGdLKGett9n6VnRq5JU9pO0\nyT8roqqJtCK/qGH/QvwkzYZ5F3tZbaVxAP0Eao4pVceT6zqM1U3bv0UL3jSa9pe6YrasTWnE90vZ\nBUQd3yjaz1nm7b8uMtxClL3nezX22Se61+nXmzenPCLyKPAoQIfeMk0xLJdC34z7in348DSR8gNz\n2iQa/z9vkpeMz0nyJuS0+vNOpnUm0KLJPrlISeYn20gTsVnpWceoPPX8pOyknRTgye2BG/0mTpFw\nSSsXLzuvnySPW50FXFpekrICrUk/qSiqqOMrVceT+HaUGU/KbEOZhXKT40oT41FanTTKjq1lFs15\n6dWoN6YYDJQX319Q1V+NJ4jIXwJ+NaP8vJwDTse+3z1Nu4qqfhD4IMCaHKk+FRtuFQp9M+4r7dOn\nNTNKWUaAQ/akGc9Lfi8zMea1tZ/Cu0p0NI287coSULO8MuK2jA03Us1P7jmtmf1WtbGMmKoiuJPl\nm/CTtP6q+FFae0Wj8n74ST2qjyll7EqmE0uD7G1Pfp6VqbNIS+bV8Ze841xF3Ke1ldZnlr9lLQjy\nzsO841Kden5iMFD+nu/3l0xrij8GXisi94lIC/he4MML7M9w81LPN4sG96zJJ5meNSkKN7ad/Eur\nl+wzy5Z4ery9JoV30s6sCT/Zf1GZZLmq25pWtph6flJ3HxfttzR/yPpL2rMoP5nHj4rOi3i55LkR\np0k/qS+sqvtK2f2WLFvmfCsS2vG6Rb7XxEIta9/mHacydmX5fLJOmf1WlJ5MK7OPb2S/dZHhFiI3\n8i0ifxZ4B3CXiPxsLGuN6DLLQlBVX0T+Z+C/Ej1q8P9R1ScX1Z/h5qO2byYH7bSo2ex7XsQE0ieg\nZB9l7IhTd3Isk142GpVXNqt8kqw6aVG0oojUHJHN2n6S3P6kPVmCNi2aViZimLkBJe1rOr1sfp2o\nZl6Zpvwky6Y8U+ad7+K+kee/eelxm5P7por/5B3LvHbKCO+8/qoumIvay7Ijrf2887DsGFLCZ5el\niwy3FkW3nZwHHgPeBXwqlr4D/MiijAJQ1f8M/OdF9mG4qanvm3UnxzwxlTZ5JvvMoqj8fgnvOiI9\nWa/KRJk2EVc9FsXU95OqwilNmMf/h+u3uWqkbT/9JCkIq4iyMguGrLJN+EmWCCumnq+kLejzFmfx\n9LyxpOw4UmVsadpfqvhA0VhSdD4UnUdp52HZMaTCgp4l6iLDrUOu+FbVzwKfFZFfVFWzojMcGOb2\nzXmiU2nio0pUqmzEqqmJs64a5oZ4AAAgAElEQVT4IqNsWn6SvIkyaz9WiWyWFOBz+0ldAQ7p+7/K\nflymnxS1l1WnynmQZ19dP0m2HRe8RabM4ytNLeiTn5PblSbkk1Q5jk2m5+WX9de0ennnUZbPpKXV\nWeykmWZ0kaEBim47+RVV/R7gMyJyg2uq6hsXZpnBkENt30xOIlWEdtmIZvJ7kVDMm3zS8vdTeFeZ\nKLP6TbabJ9yqCPAS1PaTtGhmGXvSBFUZMVWG/faTrPaKfCuZl1UmWW5eP0nmkyhTwNzzXRMLerhx\nW7Io4ztVFtF1hXf8OFUR3lUXanmCOW1Rk7f/k+N6BQFudJGhCYpuO/mh6f/vXLQhBkNF6vtmnahl\n1YjmjLITaVo7806cVSfTKuUWNVHG6zQjwOv7SdXFWVFe8nOcvH1dtXzTfpIWUSwbCS3alqb8pMxx\nKKaerzS5oE9rryp1fKyu8M4iLb9KW0Uivmh8zhPgaRTlX4/RRYa5yX3aiapemH78m6r6fPwP8xpV\nwxKZ2zeTE0Fa5BJunATS6pWJThWVyeu3rr1paWUnwLL7oMieZH5W21WiZBWixXP7Sda2F21TWr2i\nyb+MLy3DT+J5VRZrabYl/5JtVfWTsiKyBHP5SlnxWpRXZp8lfTD5l1U/y4Z5hHeaCCYnv6itvHOg\nyP+LBH+8fJFdORhdZGiCso8a/I6UtD/bpCEGQ02q+WYVoZ2WnlYv3m7WZJg1iZYRIFUn9uRkW7RN\n80Q1iybKZPmstsqUqynAp1TzkypCO8umKmKqzF9e2/vhJ0nmOV/y8uoc5zr2Z1NvvquyaM/Km+UX\nLcSK7Cjar5DtF2l5RenJtKSf1WkrzTfL2pe1j4sEerV9bnSRoTZF93z/DaKV3P0i8rlY1irw+/N2\nLiJ/C/iHwHFVvSwi3wz8JvDstMj/p6o/NW8/hluPuX1TuH5Aloz0WVraRFI0uZWhKNKZVa6JaFVa\net3FSDIvbR8m+5jt91la3nHIOz45zO0nZW2apaVN/nn7qywHxU/ix6xKW2m2JduNl8nzkzR7supk\n9ZtCbV9JbnNWdDXLVsjeh2WPexnbsuqVPWZVFsJpafMsqvN8cZaf56NpbWf5SwGL1kWG24Oie77/\nHfBbwP8B/EQsfUdVN+bpWEROA98JvJDI+j1VNfdSGYqo55tZYrPKpJnWVtr3OGWFeZVoVZ49TUSx\nqtRPUkV4JPuqIsCLqecneYKqrGBMayvtex2W7SdpYmWe6HlZgVp1cVZtX9ef7/L6LVrQx9OTn6Ha\nNlQR64v0mby0qou1ov1Z9fybYzE/ZWG6yHD7UPSowS1gC/g+ABE5AXSAvoj0VTUpnKvwT4AfJ4p0\nGwyVmMs3y07WeUIr+TlepgpVBHudybFMv2UnzaKJMhm9jqeTkhdPa0Zo38BcflLWpryFW/JzvEwV\nDqKfpB27MnXS8orOw2SfRXVqMPd8V7Qwg+JtrBJF3o8FfTK/TvS6TFS/yC+LFrpl9mVV0Z7BgnWR\n4Tah1D3fIvJdIvI00e0gHweeI1r51UJE3g2cmz4vM8k3iMhnReS3ROT1dfsw3B7U9s2ZUITrJzJN\n/EniL5mfVzav3aI6aX3ltZvcjqJtJJZOIj1vIk2rnzZZNynuy2xrAbX9pGhflz1WZX3oZvWTeDtZ\n/cbrFPWfrJfsp8iurP5LUNlXsvwinpeWX/U4lx1TqvhDVbuztje+L4jlkfK9qJ2ytqXVI5GXZ9Mc\n4wk0r4sMtxdlf3D5d4GvB76sqvcB3wZ8Iq+CiPy2iDyR8vdu4H8BfjKl2qeBM6r6JuCfAf8+p/1H\nReQxEXnMY1xyMwy3IIW+GfeVYG/v+tp1hGTWQJ01+SXrlW2jql3J/LS8IlFcpo15aKL/imJqSjU/\n2U34SdakHc9PK5Nma1mBdav6SdUyRce7rt3Z1BtT0nwiTpHPzMqkjR9lKfKdLN8tsjMrL6teU+NF\nU5S1rZrd8809htuasuLbU9VXAUtELFX978Bb8iqo6rer6iPJP+AscB/RG6KeA+4GPi0ip1R1W1V3\np/X/M+CKyLGM9j+oqm9R1be4tEtuhuEWpNA3475i91fqT4pJyoikPIom2iYmz7I2ZUUz06gjRMv0\nXbb/Mm3eSDU/WVkpt5+LysTL1RVUt6qfFC0MitorQz0RWH1MiduVtyDKWzRl2VplQV9UP6/PMraT\nyM/Kq0uVhV5T/dRvs/qYYjBMKfrB5YxNEekDvwv8oohcBGot41T188CJ2fepAH/L9Gknp4BXVFVF\n5G1Ei4NX6/RjuG2o55tFlyrzyiTLpbUbp6rgymqjqNwixFa8bnLfaCK/jk1V+s3qsxz1/CS5XUmf\nyCuTZ2MTIuJm9pMkZRa7ecT7SbOhGtV9JW0788aStDJ5tpbZH2XKLMpnsvLK2l1mX+X1k2dLll/k\n2VCOxnSR4fajbOT73cAQ+BHgvwDPAN+1AHu+G3hCRD4L/Czwvara1FrXcGtSzTcXGc1s4hJxWXvm\nEVRV7CvqoyjatmibylPNTxZ5daTqNtzKflLHxjLMN2vUm++q+EO8TJnxI+3Y16mbtK/pxVpZyu6r\norxF25DPfukiwy1Iqci3qsZXcx9q0gBVvTf2+eeAn2uyfcOtTS3fLIrOEfueFs2M56e1nUYVAVG1\njSaiy1XKZkXr8kRAFZvSjsec1PKTomgm3CgQyh6L+ouI6+2p0vZB8ZNF9tEAc813Za8IZfn4POdP\n2X1RpY+qwnue87zoiss8VwXiZetcmUlraoG6yHDrU/SSnR2y152qqmsLscpgKGBu3yxzqTP+vcnL\nw1XK5k1mZS/FVpkgqyxMitoqa3vRhF3GpiwT5vWTKmIK8vdVWvky3Op+UhS1LVMuzYaK4ry2r2Tt\ntyK/qRJ5rXI1oUz9ZFtlytdZ6MSPSdaCLG8RUrSdRXYu4Lq50UWGJih6zvfqfhliMFShEd8sE8kk\n5XtVwVn3lpQs5olcZdXLEy15l3+rRr7K2DOv2Iw31YSflLkyQsr3KmKqLjern5Tpq4kyFQT4XL5S\nVljmjSPznDuLHl/q+kxanaLtnmc7510glMDoIkMTlP3BpcFwa1JHRDUxATR5yb+JKHxa3XkmybJl\n5rltYAG3HBT2tV9iqmwbVdo8yH7SxL5aRN2q/dQdR+qMGfuxoC+qV4eqt5fUHUP267gbDDUw4ttw\ne1E0UBdNBnUFZ50JbB7hWvV2hyrR3ay2qkT4q06YFW8hmJui/VcU3V3EAiyLm81PqtCEfftJnp82\ncWWgjFitQtPCtsqtJWntNHnFo0rdZfuN4bbDiG/D7UfZyaDuRNfUrRVpzNt/kTioIgyaFpj7GX0r\nQxkhNSuXVreIpnxpEW3vt59U2c66Edz9os6itU7bi1jQz2j6fKt7O1aT97YbDAcII74Ntyd5UShS\n8qpMAPNEhIvayqOJiafMfsnrb5GCYBkUCalkXh0h1QQ3m5/M0+fNwjy/E6nafhOUtaOo37pXQhZ5\n7uznlSiDoQRln/PdKCLyJhH5QxH5vIj8BxFZi+W9X0S+IiJPicifXoZ9htuIspEVrfGX11/ZvzJU\nFfdlo7Lz2pW0r8p+StqybKrY2sQxvh39ZN62DvoirqrfL5J5fKgsVbczy6a6+66OHx6EscZwW7AU\n8Q38a+AnVPUNwG8APwYgIl8FfC/weuDPAP+XiNhLstFwOzGPaMgiPlEsot15JvF5BUDTE2VeHweJ\nRQioeUVrFgfVT5oQ6k3auCzqLOjTxpSmFnyLom6gooiDtI0GQ0WWJb4fJHolK8BHgL84/fxu4JdV\ndayqzwJfAd62BPsMtzvzTGxlRek8E29T7He/B1Ug1KXJ49r037K282bsbx5uJn+ty6L3dZ1FhsFw\nEyPLeHu7iPwB8PdV9d+LyI8Cf0dVV0Xk54BPqOq/nZb7eeC3VPXXUtp4FHh0+vUR4ImGzDsGXG6o\nrabbux3aAnioyWep3iS+clDbarq9Jtu6WfwEDu4+vB3agpvHVw7yPjyotpkxxbS1jPbm8xVVXcgf\n8NtEjpb8ezfwMPDfgE8B/xvw6rTOzwHvjbXx88B3l+jrsQbtbqytg2zbQW1rEe3dDNt9UNs6yLbd\nLH5ykLf7dmhrEe3dDNt9kPfh7dCWOR4Hq62DZtvCnnaiqt9eUOQ7AUTkQeDPTdPOAadjZe6ephkM\nBoPBYDAYDDc9y3rayYnp/xbwvwL/9zTrw8D3ikhbRO4DXgt8chk2GgwGg8FgMBgMTbOsH1x+n4h8\nGfgScB74BQBVfRL4FeALwH8BflBVgxLtfbBB25psq+n2boe2FtHeotq+Hdpqur2D2tai2z6o2307\ntLWI9hbV9kFtq+n2boe2Ft32Qd3ug9pW0+3N1dZSfnB5KyMiu6rab7jNdwFfpaofEJH3AF9W1S9U\nbONjwPtU9bEmbTPUx/iKoQzGTwxlMb5iKIPxk+WzrMi3oQKq+mFV/cD063uAr1qmPYaDi/EVQxmM\nnxjKYnzFUAbjJ9Uw4ntBSMQ/EJEnpm/y/MvT9G8WkY+JyK+JyJdE5BdFRKZ575imfUpEflZE/uM0\n/ftF5OdE5E8A7wL+gYg8LiIPTNt6y7TcMRF5bvq5KyK/LCJfFJHfALox275z+obRT4vIr4pIoytg\nQzWMrxjKYPzEUBbjK4YyGD9ZHgt72omBvwB8NfAmomdL/rGIzF4s9DVEb/E8D/w+8HYReQz4l8A3\nqeqzIvJLyQZV9Q9E5MPAf9Tps8+n50MafwMYqOrrROSNwKen5Y8R/cj121V1T0T+NvCjwE81sdGG\nWhhfMZTB+ImhLMZXDGUwfrIkjPheHH8S+KXpD0ZfEZGPA28FtoFPqupLACLyOHAvsAuc1ejNngC/\nxLWH89fhm4CfBVDVz4nI56bpX090Oej3pydEC/jDOfoxzI/xFUMZjJ8YymJ8xVAG4ydLwojv5TCO\nfQ6Y7zj4XLt9qFOivAAfUdXvm6NPw/5hfMVQBuMnhrIYXzGUwfjJAjH3fC+O3wP+sojYInKcaIWX\n98zyp4D7ReTe6fe/nFFuB4i/0vQ54M3Tz98dS/9d4H8CEJFHgDdO0z9BdPnoNdO8FYledGRYHsZX\nDGUwfmIoi/EVQxmMnywJI74Xx28AnwM+C/wO8OOq+nJWYVUdAn8T+C8i8iki591KKfrLwI+JyGdE\n5AHgHwJ/Q0Q+Q3TP1ox/AfRF5ItE90l9atrPJeD7gV+aXuL5Q+DheTbUMDfGVwxlMH5iKIvxFUMZ\njJ8sCfOc7wOEiPRVdVeim5z+OfC0qv6TZdtlOHgYXzGUwfiJoSzGVwxlMH7SDCbyfbD4gekPG54E\nDhH9qthgSMP4iqEMxk8MZTG+YiiD8ZMGMJFvg8FgMBgMBoNhnzCRb4PBYDAYDAaDYZ8w4ttgMBgM\nBoPBYNgnliq+ReSHJHqt6ZMi8sPTtCMi8hEReXr6/+Fl2mgwGAwGg8FgMDTF0sT39JmOPwC8jejV\npu+cPtPxJ4CPquprgY9OvxsMBoPBYDAYDDc9y4x8vw74I1UdqKoPfBz4C8C7gQ9Ny3wIeM+S7DMY\nDAaDwWAwGBplma+XfwL4aRE5CgyBdwCPASdV9cK0zMvAybTKIvIo8CiA1XHf3D19ZPEWG/aFvadf\nuayqx5tqL+4r0mq92T15oqmmDUvE39gg2N2Tptq7wU9OGD+5VZi89NJixxTjK7cE/hUzphjKMe+Y\nstRHDYrIXyN6W9Ie0TMjx8D3q+p6rMwVVc2977v/4Cl9w8/9lYXaatg/PvGn//6nVPUti2i7ffq0\n3vm3fngRTWfT2FDeIIs47Re1nRm2nv9HP8P4xRcX0utS/MSwMJ77kffdWmMKHLxxZVFSYhHbacaU\n5XHQ/DaPHJ+ed0xZ6g8uVfXnVfXNqvpNwBXgy8ArInIHwPT/i8u00WAAogGj7h9EJ3Hdv3lZRJv7\nSdY+NRhuZm7mMSWt/5uJm2k8mcdP5v1bhP03Ewu0fZm3nSAiJ1T1oojcQ3S/99cD9wF/BfjA9P/f\nXKKJhtuVqida3uRTdOIWTVzJ/Cq2VZ0U5x1g5pmEq/R9sw3iBkOTY0pRe7fKmDKPsL9Zx5Om/WSe\nvpL5Vfraz+2Yhzp+0oCtSxXfwK9P7/n2gB9U1U0R+QDwK9NbUp4HvmepFhpuLcqcaFll6pxw8ZM1\nq92q/eW1VVS3bN9lSJvA5xmsqwqCgzRhGgxZzCOSs9qKi9K09uuMKXn1iuqX6bsseePAPONJsq00\nljmmLMJPitrIardorppnYVjUd1ma2l9L8pOlim9V/caUtFeBb1uCOQZDtUmrTNmZUC4rSiXlc9ag\nWXcAaEq4N9FXXn/x9FtYaEvK9ustvL23HHWPVZ0xJe+cmHdMKaLo6l7dulUou68P4piyLD+pWjf+\nuY7N84jiJm91KcMS/WTZke+biiYXpoYlIpQ/YE1FYdJsKOpPEv/Xtbmozypt120nr04ZETHPZHAA\nuEFgK1cVdpr4vnbs9YZtNsL8AGLGlPJ1qrSTd9vJzTimLMBPro4fBWOKpowp140lae1X3Ud1rhov\n8panovaX6CdGfGcggDX1YEsUEcWa/cWOUIgQavSn0/+B6PsyDDeUo8ogOCs/Y1rv6gAXSvQ5eSlY\nQC1FLVAbsPT6KHisjoRJhUW96HbdCH3ZOnWp0leeGLnJRPh1k+DMT0KQ2V8gVz/PUGv6ZytqCWoB\n1nSitPRqm0aEHzDSxpSyE3+WmMqoo5L4nCwWbyM53hQJ5jKCxIwp9WnATyQ2b0TjyPQvFCTg6hhz\ntdpsDLG5Oh9d/TydlzTeX9H8WHYbFr1oK8MB9RMjvhMI4FghthXiSIhrB7Qsn9b0f1dCHCu4Wt4P\nbTy1mIQOk8BmEjp4gY2vFkFo4YdW475kaIiiASZjFXzdwBeA+GD5gvjXBjy1QF0I2hC0FW2F0AoR\nN8Syo4bDQFDfAl/QQBBfrgm0Wf/xybCOvU0NiGXr15mU8y7xZUXobraTSrk6SVqeYI+J/kZgjxVr\n6jtqQehA0BaCjkz9B0JXwb5edBkOIMlzNClmcyJr0cIstkDTlEWZTBfytkaiyb4mnq5rLxQIubaw\nn9lRNKbUFd6LGlPy2riZx5SafnJ17gkEy4/GEmsM9mQ6nowVawKWr1jBtXZDG0JHCFvTsaUNQQvC\nNoRuNOZgx0R4UoAX2VfWJ+ocyzL181iEnzQwBhvxPWUW6batkLbt03Mm9N0xa86YdXfAIWfAIXvI\nijXGFR8bJUDw1GEvbLMVdNnye2x6Pbb9Nrtem4HfYhw4BKFlIuG3AvHBzxcsD+yR4AzBGSjOEOxJ\nFJkMWsKkL4wPC0FbkRWf9fU9jq4MWHEmhAh7XovtUYfdYZvx0EVHNuJZqC/RuT2vw5SZSNPKFZVv\nwpasPrKiC2kD4UE/oSQZldRo0vTAGUD7itLZDGhveNi7E8QLUNcm6LcYH3EZrduMD0eR79CdRsLt\nRB8HfR8Y8pkJ79hVEMuLRJX418abWbQybGkkoGxQR8FVpBVgOdHVWQU0jBb16kULewJg2vbcmDFl\nOczmnlCwArAmYA+jucfdVVq7irsb4gwC7KGPNfERPwRVEEEdi7DlEHQd/J6N17eY9AWvL/hdIegq\nYUsIbRBL57+qVjayP++irQwH1E+M+J5iieLaAV3HY80dcaQ14M72Jne2rnCnc4VTzg7rlk9PBFcs\nbIQAxdOQgSqbocPL/irn/cOcnxzm/HidjUmPba/D0HfxApvAXCdePmmDQpkTKX5ZeBp1sEdCaycS\nUd1XfdobY+ytIQQh4WqH0akeW+IyPgqHDg34+jue583957jLvcJEbZ6fHOepwSme3j7O+e019uhE\nY6VOJ82m7g9My08rk1WuqE7Z+ml1s6IpeQPhQZ0g48j0Uq+jqK1RVAkIPEEdG8uPNqy17dN6aYPw\nlUuEgwFWr0fr5HHUOcpo3SbogLem+P0A3OmGB4IEAv5UUN0M++NWZs4xZSa8LQ/ssURXQ0bThXww\nvRriCn43ajx0phUtkFaA2/HpdSa0XR/bCvECm5HnMBq5+CMXHVsIFkpFfzkIY8osUl+l7kEdU+ad\ne3R6a4kXCW93F9pbSns7oLXl4+x6yNhDgqiCyjXVaPk+1sjH3hPctou75+KMHMYTm/GhKMytopFJ\nM7vKypUiv5g3Kp5XpywH0E+WLr5FxCZ6rfw5VX2niPwb4E8BW9Mi36+qjy/UBqbi2wrou2NOdHa4\nt3OZ17Zf5n5ngzsdoS9tbOkQaIhPQKCKK0JfbI6JxV0acsbZ5ry/xVlnm5495jnrGCGCH1om+n2Q\nyBtYigad+EAYguUp7jCktTnBObdBcPESOh5jr63RCU8zOLYGwJGVAW9bPcuf7p3lDqfPbjjiC84W\nntpcnqxwedBjaCtB7D7O1B/izSh7j2Dc5ry6dQbDqhT1kRdhSJY7yCfSVHirG0I7xO15rPTGrHbG\nWKJsDTtsXu4TtFrYXgtns491ZRNGNtJyCdb77N3RYueMMDozYf3YLoe6I0IVdkZt9gZtvIELYws8\nK7rH07Bcao4potduX7NHgrsH7rbS2lPsSfR7Eb8jTFZBbSFsXbv6Ib6gE5vQDbGskPXOkPX2EEdC\ndr02l4crbOz2GEkLVbkaOc3EjCmLZ665JzqGlifYE3CGijsIcQYh4itBxyE43GayajNZtfB6gjog\nPrgDpbUT0toJsIcB4ivOICR0hKBlRVFvV1BHUS3YGWVv4yBle5pasFXlAPrJ0sU38EPAF4G1WNqP\nqeqv7acRthXSsgNW7Akn3B3ubV3mte6rnHFatMVlNxzxvKd8aXKS5yfH2Ak6rNojzrQu83DrFc44\nwiGrS8f1sOVVPHUYBG12vA4Du4UX2vjhUl8oaogTH+iyTqi0dIku/4dudKluEgoSWEjQQfzDOJag\n27tIuwWOdbWPUIVR6LIR2nj+Luf9Lp8a3cvjO3fz3NYRtnd6BAMH8awosplxz1/mtsRtLpuX1ua8\nke0yC5e0tKoD4UG/iCRRtNvu+hxd3+Xhwxd50+qLnHY38NTmM4Mz/PaJB7m0dgSvt8ahI6/B2Zkw\nXm2xdV+LzYeVQw9d5l13f5mv6T2PKwEvekf47M5pvnTlBJd0lcB3wW/oBkTD/NQdU5ToStoY3B2l\neyXE3faREPwVm9G6xeiYMDoWor0AAsEaWLhbFhJY+D2bK8dsOq7P6ZVNTra38dSm766jwCXfwpvY\n0dW0NJuztiVuc9m8tDbnjWjeamNKDT+J/w5o9lsACaMgTdC28FZsxmsWg1PC4O6A3l3b3Htkg/XW\nkM1Jl+c2jnD5XJ/eSy16Lyvt7RDLj24vufrj77yrDFn7Jit6XJSX1ua8V13zaNpP9uu2ExF5EPgX\nwElVfURE3gi8S1X/7jydi8jdwJ8Dfhr40XnaagJHArq2xyFnwCl7i5O2RVtctsIhfzha59dffQv/\n44X7GV/oYQ8sgl5I+44Bf/Kes/zFo4/xDZ1NDlldTto+G/YW55zDdG0Px4SmFsZcvpk1CCbT41Vm\ntxO0Q4JVGB9TBncL20MLd2uVzkaf9qbijBW/E93zDcorW6v8R/eN/I/Wa9n2OpzbXuPKlT5sudhD\nCwmnJ+P01+dqxfovO6hVmSSXEYHIs6HKQFhjslzUGJbdYfRn2yFrrTH3dl/l67vP8MZWQM9q8XWd\nFznpbvOrztfwSusYo6Nt3L023goM7go4+drL/KXTn+HPr36O+9w+g3DC5yZX2PJ7nN87xIa9El0l\nMbq7cRYyphTUmd124g6U1paPuzUmbNmMjjoMTgrjh4Y8eOdF+u6YZzaOsX12nd55oXcpJGjBzuk2\nF6x17upv8bqVC/TtETYhm5Mum24Xb/pjulKYMaVc1/voJyrT4tP5J/pRNnihhdcDb0UYnoTJvSO+\n+r4X+Z6Tj/GtvZc4Ya9wMdjjd+64m1859hYeXzuN3+vQfcXG3Yt8ImhH7alVbftrC+9lXCVZop9k\nUTby/a+AHwP+JYCqfk5E/h0w78T1M8CPA6uJ9J8WkZ8EPgr8hKqO5+ynkCCMnljiqUWoFpaEuETX\n9571LH718lv573/8eu78OBz6/efxL7yMc8cptt5+ho/+qUcI3yqcOvlRvroNLjaWhIRqXX0SSmCi\n3ouimm/OBEvayTfLT6bPysduJ5C+z9Eju7z15At85/oTvKX9Miti8QWvw4e3vpbfOfcgl19ew9p1\nQGHyfJ+vPLlG74Ky/pUJp75yiRMXX0JaLtx5ksF9h9g+7TA6KvirEDrTy8vJgUETaXkr9aztSctL\ny08rU0SVibVs1Cy5DfUm70WNYTei0S0BiMVku80zwTFe3lnlI52HcayQgeeyvddhvNtGBjYSCMOT\nIcNpdQmEV545xj+78K18sP921lZG9FwPP7Su3nYS7LnIxIr6MTTNfGNKmrBKnrOz8QTAnp7vVnRP\ntj30sbYGSLdF6HYZnvb5a2/8Q95/9AvYYvH3Dj3Ez5/9Fo59boj1e58BEVa/6at5frXD4J4Wd7pX\nOGLvsht0cCQkDGM/vIzbliY6yowd+zmmVD3fD/KYMoefoNMrrhIJ8bAF3iqgEqU7SthW2HF5/PP3\n8/hn749+FzLzM1vBitrx1kKCdvS7JQkEJPpdSjj9Ee9VEZ4295BIq5OezEvLTyvTJPP6yT6K756q\nflLkuh79eToWkXcCF1X1UyLyzbGs9wMvAy3gg8DfBn4qpf6jwKMArRNryexKKNFtAV5gs+N12PBX\n2Aj6DJwNerQ4aXs83L/A75+8j+0zq7Q276J94jDD4z22z9i0Tu7wcP8CJ20PaDNQj43gCBv+Cjte\nBy+wzf3ei6PQN+O+Yh8+HMuI/Z82IKYQXZqLHg0YhEKggkVIRwRLhL2wzbnhOle2VrCvuFgeBB0l\nWAkJXcUe2XhrDh3XgTBEPR9RRUWiZzrbU1OKTu60QS5pe5ORiayyyXpV6paJOKRtkybKlKO+n9Rh\nJsBDi3DUZudSh+FQaElURawAACAASURBVG0KnUvKsa0QCWC8ZjE8KYyOKUE3xB5adC4L3VeU9jao\n3WN0qM/l48JkXfG7evVZ31cfIWdomnq+UiSssrAUdaLHv3ldIeg6OI6NjDzaVwJalxw+sXEfn+h/\ngeP2Hq96K5FBPZvu8ePISpeNu9p4x3zu719m3R4wUpfLXp/NcRdv4kyfdlIwqDQpvJsaU6rWvRnG\nlLp+wjQ67SqBE5UPHY1+1C2KeBatV216F5S15326L+5g7Q0JV7oMT6+yfcZhcIcwWQ/x1wJEBfxI\nhF8V6WVEZZPCu8xiLatsFZbrJ6mUFd+XReSBWZci8t3AhTn7fjvwLhF5B9AB1kTk36rqe6f5YxH5\nBeB9aZVV9YNE4pz+g6fm3hWhCpPQZtdvc2myyguto5yyt1m1PE7YPd7Rf4Ldhzr8h84jPHffOvbu\nOkE/ZP2eV/nzZ57gHf0nOGH3GKvHS77DC95RLk1W2fXbTEL76st3DI1T6JtxX2nfc1pLD3zxaEQ8\nPwDGNrt7HZ7aPEnbej1PjTe44q3wu6+8hgtfOsHa0xbtrZDxIYvtB5T1O7Y5ubrDK2dWuXBsneHh\nkxx67jD2KGCy5jI4buP3IWxHEe/rfvOSFnkgJS1rW+aJQDQp7rLazhoIs/JLTFIpVPOT06fn3/Iw\nev675QvOjtC9pBx6bkL3yxcJX76IrK7SfuQ0w5Md/OMT+utDdje7cLnN2gtjWk+8iO7scOjUCYYP\nnmDrXpfhcQt/VaeR0rktNKRT31eKFvKztET0W20IOjBZE8aHHZydDvbmgM7lEYee6fOF9Xv4Sf89\n3L/6Kl+8chKAnbtdwtZ9DI/YXHk93HvfRb6qdx6AF72jnB0c4/LuCsHQjhaCRVFvUtIWEdU0Y0ot\nP5mVv/oSrukPuu1OgGUH+BMH32uBCO6Oh5x7Bf/KFezDh3HXOyAO/koIhye4LZ8wsAlGNsHYQjzr\n+ifh1J17yqYn88rkz8Ny/SSVsuL7B4kc6GEROQc8C7w3v0o+qvp+oig308j3+1T1vSJyh6pekGg5\n+R7giXn6KW0P4AU2Q9/l4rjP0/ZJVqwxPesF7nM6vL7V5a8f/iPevvJlvvDAXWz5PQ45A76qfY43\ntK5wh9PH04Dn/QlPTu7h6eFJLo77Vx8zaAJUC6O6b5a59Jd14uv0Up0H3k6Ll3SdjUEXgJ2NFXpf\naXH353xWnroIquw+cpztByy++uQ53nv8DwjU4tfveAu/feJh9r7Spb0RNeuvgLeiV5/nfN2gm2b/\nzPZkWjx9nshUlsMWDYhVIhdpkYZ4el4koijKfiONj2FFzK6SEIIVRD+oc3Y9dGeXcDTCWT/E6IjL\n3j0Bb3/oGd5y6Dke27qXP9h7iNEzLm3bIhiNkJ1dnN3D2GM3enFGGLUbXTFZ5BbctlT3layFfFJE\npSHROR+0wVsVBscsLK9L1xJkHLD64oTQbfHi7l2cPXYSRLEUdu8Rds/YjI8HnLr3Vb7h2LN0LI+n\nx6d4fOc0z1w5xmCnjYzt625ByBVS8wjvRYwps/E4i6bHlGrsn5/csB0aPWrSDen2xhzqjnDtgI21\nHlf6q4zXe/Tve5jWXshkxWL3bmFwxmft1A5HVgZ4gc3WsMNe0ImeBy9TA9KCPnHKzj1l05N5Wf2m\nlatC036yX5FvVT0LfLuIrACWqu7M33Umvygix4k28XHgry+wr+tQYOw7bNHlRTmMJUqgwqB9jvvc\nCXc4fe5wPL6l+wyeBrhi44oN9NkKhzzrWXxufIYnh3fz4vAwW+MuY98xwnuB1PbNqpGHRB0JBMYW\nQdBiZ7uFjC26Fy3Wnw5Y+dIlgq88i9Xr4dx/FLA41trla1s7HLZ72PJJrtzX4zE9g7fawh5L7JW/\nGd4yb6Qqra2i+kXtVCXLtrRIfZnLfRVOrH0ew6I+heiFFZZcFVbDUx16/l1Yd5xgeGefKw/a3PGa\nl/mrJ3+Pb2gPeUPnRZ59zRGunDtFa+c07WOHCXouw1MdvNWonehV0UZ4L4ravlI0Qact7mfRbwEc\nxV+BcSiATeh2aV/xkVDpXQoAm+G2i7emBG1lfMLHXvM4dWSbhw9fxLUCvjw8xdnBMZ65coyNKyvo\nwLkW9U6yqKhmGdG9H2NKPD8vgllTgO+bn6QdJxUIFUJBVVhxJ9y9ssmbjpxj74425x46xKW9Ppue\nQ8f1ObOyy129LVacMTteh5f21tkcdGNvQpV0G8qK8aR9TSzW0srUZYl+kkWu+BaR1CeQzO5xUtV/\nPL8JoKofAz42/fytTbRZl0CFoe/CqEeowjBw2Qj6nGu/zGlnk+OWT8+ysREGGjAIAi6FDi/6h3l6\nfIqzw+O8PFpja9xl6LvmxToLorZvJk/CvMhDMi2RL/70ZSfh9OUYY0AE7XdxTp2EXpfJavSj3XPD\ndT476XPc3uOcd5pQBbftM1lxUNu6+tio6+xKDgxpA1eVQS450OdNknWiD0XR6CzhnDbBZA2CeYIh\nzaR9GsPyUEcJujA+LIS2zehQHyuA0RFhcI/P16xtsG4NccVm3Rpy39oGv3/PMV4dtuicOkxoR7cj\neGsQdDV6s6GhcWr7SvJcS/psXlrsc/QyHcVbZbpgs5n0LZxhdLxnb0YNW9Fbc2mHdLoTOo7P1qTD\n5yd3cmXc49JOn8FOOxLek9jtBGlCKu2cX5TwrhvRrDumzP7PWtgXBWCyzNkvP0mWjY2BEgK+oGOL\n0bDFRqvHofaQOzpbfFXvPN+2PsSKvdI0VIvtsMsL46OcHx5iY9hjNGxFL2DyY28/TfpJ0ha40Yfi\naXXSi/Ky7KjCEvykiKLI9+wpJA8BbwU+PP3+XcAnmzHh4DET4L5ajAKXTa/Li60jnGjtcMzZmb5i\nPsBTm72wzWV/lYuTVS5N+mxOeux5LfNGy8VT3zeLTqysky1NjE+fj6oCQRcGxy1U1mjduULYEgYn\nop+YP7VxnA/Zb2fFnnB+uMazV47iDd3oR1DTiTd14GtKeCcpO3nmtVGVrD7TJp2iwa78qbXUMWz2\niLDQUbwVCFpRBBzA7yvSDbg8WuG/7ryBL7Uv8/z4GJdHK0g3YHjKxutHZYP29JYkR69FSg1NU99X\n8iJkWQI8JV+t6BXynkRPtPB7gjOKXjWvVnRf+NWrY4EwHrlcos+rez1832Y8cgmHkei2PLmxb7jx\nHCtKazI9LX8e5h1TksetHIv3k7RF0g0CXGBiEew6bOgKQSiMApfdfpt72hsccXbpiMdIXTb8Pi+M\nj3B29xgvbR1ia7tHuDdbnMmN9iT7Ttq+CN9I2/9NjXNN+0kDduWKb1X9O8D/z96bR1tynYW9v6/q\nTHe+PbfU3ZJakgc02EYWtiEJMWADNsYixICdsBLy8qL1gKyAmWJDHi+w4oUTeCEQE8BheObFmADB\nILANwWDjPDzKkiVrsOap1eqWerp9pzPW9/6oOt3VpV1Vu+rUuefcvvu31ln3nD18e1fdr7797W/v\nqkJEPgXcMlxWEZF/C3xk9Oanl4EKQT98ROBmv86ZzhzP1HbR8ns0vcGFRwl2Ap/2oM5Gv0FnUKM3\nCF+m42JT42Vk3Uy7sEhJSxrH2MUXXzJWX+gtePgdL3w73WzY2NnTC3xms4nnKd1ujcFmDaKoQ6qz\nbVKivLQ8Jz2tTFZ6Wl0TeZHxtLbSIt3DfNNAYGEAp8GG6bCvdWUQvaUQQidLux5PvLCHlU6LVq1P\nu1/jzPk5tOsxaF7cWuK2moyfkXUlb4BOpiUdqqEDDmhDL7zRsj8X3rgLoJ4SNKL6PaG/Xqe/GQ3j\nfQmfajJckUu2WWQim2cjykS7y9iUuG3Iq1vUpgzTxFAnq0vj1JO0/0Vy7Inqh+OHRxDUOdtdYG2j\nybHZJZZmDrHQ6FCTAX31We02WdlssbbRpLfRCMeeXkE9SfYd8v/XWf//IpM1U/0iTEBP8rC94fIA\n0I397kZplzVK+BD7fuDR6ddY7zXwRMMPSoAQaPhxr4+fGMV00zT4DdPTIlSmQTIhb7hkHPjQb3Fh\nGU/9qMxajU473IIig/B10hceFZfmJCf7XCZSZUrLizBkGclRsDWwyUhEvE7xKNWQiduwi3vAL6ZJ\nx6N7tsWJ1Ub4HN4A6IcDI3DJFhPneG8ZxXTFNEkfpktOWtpvCJ+97AHhU0kvNueFwsK34cYaD+Ti\nWwpNkVNTn4s4TLY2J6u8qV4aeYGIrL6kObh50c1iVKsnGPLz9IVoPAkE7Qu9Touz55ucrc/j1YIL\n5YK+B8O3Jw8nZ2X1JO14surYTNby2kjDZoJXtZ5sofP9O8DnReTD0e/vAD4wevPbAyWMhA8GkfOU\nyHNMlOK6mXXBpTng8bpDEsYrjHCGjwpMvh5e+nLxhSimWTWJtGR7VTneyfq2Uau0/sWJRwdMmCIm\nyYhCMs8mKmHHVNgwTfxPhtEnlYseuSihE54s79gqiutKms3IcsCTdZOT+6FN0YsOdxwJCG+YS/Zj\n2Ie0tHE73lk6W4WDlVbXNoJpyivngFenJzb5Jgeci2mi4RijHtD2LrEdwycvXbK3G8rrSZyyjnfW\n/73shG069cSI7dNO3iMiHwP+XpT0z1T17tGb3544h3t6KKybJseuiAMupBq/C/lw6XO64+3aDl7x\n9sfheCexiUyMiqlPWdGGZB9GiDxMtQ0LKrHljooorCumyWwRBzzDobpEPqRfG8m+pKVvpeM9qk0x\n2WJTmaTMMhHMrDZSqExP4vl5Y49hgpY8RhkAYjiYqvUk7X86im4k9cLmf2Izvk1QT9Kwcr5F5Crg\nFPDheJqqPl1NNxyOcpTSzbzB0Mbopxm/vEElaxDKiwpV6XibJgZZZUgpk8S2TpaTYZrsDMuWjDw4\nG+awpZSu5DlOJptjqgv5NiUtAkqsTrxsMn2SjnfZiKaNXbG1KVn/owJUoidp/TSNPXkTtDw9GJee\nmI7DRr5tuik/ja3SkwoccNttJx+JNT0DHAUeAm4cvQtmRORbgV8CfOA3VPW942rLsa0pp5tFHXBT\nhALsjV9WWlq9rXC8Tf0oM0BmORdZfbExatU44FtuwxzblnK6UtQBz3MCkzbFlJ/Mw5CXV2crHO+i\nNsVWhukYijpQ5R3w0fQkTt7Yk2X/khO0LPs4Dj0xySqrM0Wdbtvyk9UTI7bbTm6O/xaRW4AfGL15\nMyLiA78CvBE4BnxBRO5Q1QfG1aZje1JYN5MXvK0DnpSRHBDSLm4S+Wl9SZbJMypVON4mI51nnE1l\nkuTVyYs2xMtVFHnYahvm2L4U1pXkNVXUAQc7m5K8TsvalLJOc1WOt02QwkSWXRk1gpkWNMhgJD25\nUCmnP8ngT1JnIF1vsqhaT/Jk2aTn6YWtzZ8yPUnDyy/yYlT1LuC11XTByGuAR1X1cVXtAr8H3DbG\n9hyXCVa6WcZxzco3DYrxT7ycZNRJthlPr9LxNhnzrAlGVjlTn9Pys45bUsqZymS1Y8kW2DDHZYKV\nrpRxXiZlU7L6NErZrIlEMt3UR1LK2pbL64dN/0bAWk+yAjZF/w+m82vzyZKR12Za2TRZ8TK2tj1L\nbzCUtRmfpkRPhtju+Y6/0ckDbgGOV9MFI4eAZ2K/j5FQahG5HbgdoLF/cYxdcUwzNroZ1xV/164o\nkRfPbLNmu6Y6ybw4Wc5hngObVb4KxzurrM1x5BmfvDomoy2G7zb/I0tK64ljx1FaV7Iil/G0eFlb\nm2Kj60Wu1aod76yyVdgUUz1bm5Jl103/I0tK6UlaP8v0MS8wk8a49STe13iZIrLS+lTmOpiwnqRh\nG/leiH2ahHudJhqJVtX3q+qtqnprfWlmkl1xTJZc3Yzrij83dzHDZmY+/GvKj+eZLnjTjDqvXLxs\nMs8mYpB3bHllk33I6qepbF6ZtIiGJsqa+pY2mNtRXk8cO41iujIf05U0pyLrGrSxKabIZVrEz8am\nZPWhSsebRNqkbEpRx8+O8Y89yT7a/p+zPjb1R9GTeF6Zscd2jI2XtdGlKvWknL5cgu0Nlw+o6h/E\nE0Tku4A/SCk/Ks8CR2K/D0dpDkeS4rpZZLYb/54VfUh+j5fJS0urb0ovYiji6bZlhfzjsDE8WXWS\nkZF4eduIRHEHfKttmGP7UlxXbOxIUnenxaYUsSPx9CrKmuqkkWdT0soUiWwWY7xjT9LhzXJobWz0\nVutJmXpFZKUxbj2pCNvI97st06riC8BLROSoiDSAtwN3jLE9x/alnG4WMR7JepOK3pAog6HMKI63\nqQ1TBCKrnE2ZvHK2fS3mgG+1DXNsX8rpStnrbJI2ZdKOd5U2Jd5WFceVz/jGnu0WEc5Kt62XdZ3Y\nHMNW6IkpvySZkW8ReRPwZuCQiPxyLGsR6I/evBlV7YvIvwT+gvBRg7+lqvePqz3H9qO0bpoivcP0\nZGQhXsYUmU3KKxNZSOtbsk4yOpZVJp5exriMGkXJaivtPBaNPFgOkpOyYY7tR2ldSeq6rU6PYlNs\nI7VF7YVN+ijOo6lsWvkkaXVM59EULbaxLxaMfexJpif1wvR/GDUiO049yfpfp01GbfqVxrj0BEOZ\nEcjbdnIcuBN4K/DFWPoq8M7Rm09HVT8KfHScbTi2NeV10+ZiyzPQpouyzAVZJEKQ7EvVjrdY/DZh\nisSlDQzJc52MblXvgE/Mhjm2HeV1pYzuTpNNMeWN6nib7FBeX2zbNsnPm+BU54CPd+zJs3emvpZx\nvrdaT5JOa/J4ijrppj6aylahJ3kTihJkOt+qeg9wj4h8UFVdlMgxNZTWTRvn2mQURok+xC9um77F\n66XljcPxTrY9SgQirZ00wxaP8hQZkHJwNsxhS2ldMTmbaU5TVTYlXj4LW5uSdn2PGvW07UtanbTy\nWTZlmGayGTb2JYdKxp60PsbTh2lpjl+8v6NGYrdCT/Lq5bWRJ9OUX4WeJGVX4HhD/raT31fV7wbu\nFpEXNamqr6imGw5HMUbSzbTZrqkM2Ecf4vk22M7mTcZslKhEWnresSXrxUmLbpjkZ8moNkLlbJjD\nmpF0JS+aFk83lYfJ25Sq0m3TTDJM9bKczSyHdJhexAG3oJKxJ9kfDOmm8pDe3yIO+KT0pGzQyNQ3\nU5lkuVH1JCt/RPK2nfxQ9PctozflcFTKaLqZFoEd5qWVIVEmzdE0tZdHkRl/vP1xON5ZbZj6Giet\nrMlBHyVCZTfYOBvmsGU0XcnS06ptiilgkNanZL20/KocrWSaTf00GXGyghCmiY/pnGNIK+6AVz/2\n2KaD+byafhdhq/UkT++LTtbS8kfRkzx/YEQyn3aiqs9FX39AVZ+Kf3CvZnZMkNK6mWX808rEjYPJ\nEGiinC2S+CTlJsuZ8pLy0urnpSfJOpasCIRtdCIpy1TGdtDOwNkwhy2ldaWMMzLNNqWK9CxnPK8v\nw3ybc2Tbh6IOXgaVjz0258WkC1n/6zwmrSfDvKJ2P+8cVKEnthOPEbF91OAbDWlvqq4bDkdpiutm\n2sVWxOikGbzkwJkcQGzrpvUhbVZflYFMK2fqd5qDYFPW1rmvwAGPcDbMYUtxXSnqTKXlTYtNMfWv\nSHoybVSHbFg2z1E01clKK+mAR4w+9qSl5+WZzpFJH9I+SSalJ5L4a6tbWROOUfRkPGOPkbw9399P\nOJO7VkTujWUtAH87auMi8qPALwD7VPWUiLwe+BPgiajIH6nqz47ajuPyY2TdFLhkGSnpFEqinCkv\n+T1exoYi0eW8AWuYXmVkIquc7XEmz3Nclik97bxn/T+ymh+zDXNcPoysK3l6anI0bGxKXEZe+1nk\nOTNpssZpR/L6YzpHJpudPO9J25JWzpSeQ2VjT1rbJr0xOadpDnge06YnpvGkyGQtSRk9GcPYk0fe\nnu/fBT4G/Bzwrlj6qqqeGaVhETkCfDPwdCLrf6mq25/pyKOcbqZdPEkDkHbRJetmDTSmdrOwGXTz\njE+Ws5usb0rPil6Z2i9ijNPOp62xyzLW6YzNhjkuO8rpiq2emxzCeJ5JXlpaVoQ4q16yrTTZprxR\nI+FlHHdT/aL2oah9yWe0sSev7Sz7lheBLesUToOelB27khTREzLyRh97Msl71OAKsAK8A0BE9gMt\nYF5E5lU16TgX4ReBnyCMdDschahMN4tGHuLpye9DbIx4XpkyTneenCIDXl7/bI1QXpnh+S/jgNs0\nP14b5riMGElXRolmxtOT3+Py8xinTRnV8bbpU1p/igRGkvXHEM0cSU/y2jbpTdo5snGYTUyznsTP\nSdqx2rZvE0ArO/ZU4IBb7fkWkW8XkUcIt4P8DfAk4cyvFCJyG/Bs9LzMJF8rIveIyMdE5MaybTh2\nBqV1Mz74KZcaOSmQb/qoRZ1kmbw6RfppOs6iEQjbsnl9KuvwZ7VrOs4cqrZhjsuXwrpicqgvR5tS\n1I7E023Tkm3G84u0UaaPaTJSKKwnWee0jN6YPnl6tJ30JJmeJd80SUmra2KUCURJbG+4/HfA64CH\nVfUo8E3AZ7MqiMjHReQ+w+c24CeBnzZUuwu4WlVfCfxn4I8z5N8uIneKyJ29lU3Lw3BchuTqZlxX\nBuvr2ReRjdHPcwCTxm6UevG6ybJp/Tbl2cgoS94EoCw2Ewl7iuuJY6dSvU1Jcwzi+ZO0KabrytZO\nlnG8x0WZAEIy3Z5ierK2nu3o2/6PsmxgnmPt9MSuzQomZ3nYOt89VT0NeCLiqeongFuzKqjqG1T1\npuQHeBw4SviGqCeBw8BdInJQVc+r6lpU/6NAXUT2psh/v6reqqq31pdmLA/DcRmSq5txXfHn5qLE\nWAFbZ9dkEIoYuKSsPGNqGwEqMpmIy0iLeGRhirBkldOccsk+pkVpTMdQjHJ64tiJVG9TkvlpZYbl\nttqmZJUp4myVxebcbUW7xSimJ/NzL26nzP8jXs7mf16mznbVE9P4WAVjkJl3w+WQcyIyD3wK+KCI\nPA+UCg2p6peB/cPfkQN+a/S0k4PASVVVEXkN4eTgdJl2HDuG8ro5dAyHDJ29eD6GMsn8NNnxOrbG\nJysykVfWZrDPy7Otkzx3aWSdX5tIQ7yO6f9lT2U2zHHZM36bQqxcGZuSrJfXpyRZk+asckX6l4fp\n3JjO3Sh9smk3S3Y25fXE5tjjefG/ef0s6+huZz2xaafoecka4ypwwG0j37cBm8A7gT8HHgO+ffTm\nX8TbgPtE5B7gl4G3q2qFgX7HZUgx3SwTjSoaebCNHudFt9LklRmQqog8pPUjGTnP6veolJexVTbM\nsf0Zv00xlYuXLWJXsuxJ0Wh7smxWf8s4gGWjvMOyZftUpTN4kWJ6MkqE2yTL9n9eps521pNRJmzj\nmNSkYBX5VtX4bO4DVXZAVa+JfX8f8L4q5Tsub0rpZpEId1rUKlne1EYcWwOfJbOIYbaVadNm3nnJ\no0hExdRm0XxTlTHaMMflxdTalKSMabIpo0ysTZFomyhvlW1ulU2xsadZupMsk9VOUba7nmTVK0va\nakwF5L1kZzWlKQFUVRer6YbDUYyRdTPrQrZ1NvMuQtNFX2bpy1Z2VnnbMmnnJdlellEtel5sypc0\neM6GOWzZFjYlTVYRRrUpRdu0cXRN2yxs+lJGRhnZ8WZG1ZOs489zwpPl89opUj6rvk3b06QnthOJ\nMuelIgc87znfC6M34XBUTyW6mTYIVhF5SMopcpGXMSplltHidfNm91kDQTy9rEEsWs7S+Dkb5rBl\nW9iUNFm2dUyMI7Kch61jaRPhr3g7QB6V6Ena8VexOlK0XJztqidFZE0JtjdcOhyXL2kz2awZsu2F\nXyQinEZeW6M43llt2kbmRjGMoxjEKTOmDscFxmlThnJGXcLPk29bL+04baL9ZRzLMn1Ps1FltjFU\nSdp2l6wI71b2cTvrSZlJm00fbdvPwTnfjp1FnrFIyy+7VGUTEc6ql0WVUYoqloJtI/xl+l3hXjuH\no1JsHJCijvg4KOtI2dY3ybOJ7Ob1YdSJ/BZHxlOxsclFHfFxsF31xJZJRPANOOfbsfNIizaAnaEr\n40hXNQAU3RNaVLbNeUnWyZJXhGkZJB2Oothuy4qXNdUvQhXXyzjtyVC+7cpYkXNgW3babMqoQZ5J\nHc921ZOtWIEtiXO+HTsTm32TZfdkVsU4nNe8CHLR/aRVnKMK93g7HBMlawI7ZKsjmXEmMSG2tSlp\njtakJibjxGYlb6tXRtLatmHSejJqmxPA9jnflSIirxSRz4jIl0XkT0VkMZb3bhF5VEQeEpFvmUT/\nHDuIIsZdSn7i7RT52FI0sm7r7FbRt3j/ss5PXl8cju1CketkGm1KkWtzWN6GKmyJqe0yNmXYn0lS\n1AZu5afq/g/L2zAOPRn1OMfARJxv4DeAd6nqzcCHgR8HEJEbgLcDNwLfCvwXEfEn1EfHTqLqi31c\nlB1o0uSUJe18VdW/eBsOx3Zl2u3KNNiTPCdwlIl7VnvTRJV2cxxMu55UGSyqoq8WTMr5finhK1kB\n/hL4h9H324DfU9WOqj4BPAq8ZgL9cziqjSKUjXCN2yBPot1xGkyHY9qZJptSNVvdnonLxa5UNWY4\nPZnKPsgk3t4uIp8G/oOq/rGI/AjwM6q6ICLvAz6rqv8tKvebwMdU9Q8NMm4Hbo9+3gTcV1H39gKn\nKpJVtbydIAvgZVU+n3mb6Mq0yqpaXpWytouewPSew50gC7aPrkzzOZzWvjmb4mRNQt5ouqKqY/kA\nHydUtOTnNuDlwP8Evgj8X8DpqM77gO+NyfhN4G0Wbd1ZYb8rkzXNfZtWWeOQtx2Oe1plTXPftoue\nTPNx7wRZ45C3HY57ms/hTpDl/h/TJWva+ja2p52o6htyinwzgIi8FPi2KO1Z4EiszOEozeFwOBwO\nh8Ph2PZM6mkn+6O/HvBvgF+Lsu4A3i4iTRE5CrwE+Pwk+uhwOBwOh8PhcFTNpG64fIeIPAx8BTgO\n/DaAqt4P/D7wAPDnwA+q6sBC3vsr7FuVsqqWtxNkjUPeuGTvBFlVy5tWWeOWPa3HvRNkjUPeuGRP\nq6yq5e0EWeOWG/hfbAAAIABJREFUPa3HPa2yqpY3kqyJ3HB5OSMia6o6X7HMtwI3qOp7ReQ7gIdV\n9YGCMj4J/Jiq3lll3xzlcbrisMHpicMWpysOG5yeTJ5JRb4dBVDVO1T1vdHP7wBumGR/HNOL0xWH\nDU5PHLY4XXHY4PSkGM75HhMS8vMicl/0Js/vidJfLyKfFJE/FJGviMgHRUSivDdHaV8UkV8WkT+L\n0r9PRN4nIl8HvBX4eRH5kohcF8m6NSq3V0SejL7PiMjviciDIvJhYCbWt2+O3jB6l4j8gYhUOgN2\nFMPpisMGpycOW5yuOGxwejI5xva0EwffCbwKeCXhsyW/ICLDFwt9NeFbPI8Dfwv8HRG5E/h14OtV\n9QkR+VBSoKp+WkTuAP5Mo2efR9eDie8HNlT1q0TkFcBdUfm9hDe5vkFV10XkXwM/AvxsFQftKIXT\nFYcNTk8ctjhdcdjg9GRCOOd7fPxd4EPRDaMnReRvgK8BzgOfV9VjACLyJeAaYA14XMM3ewJ8iIsP\n5y/D1wO/DKCq94rIvVH66wiXg/42uiAawGdGaMcxOk5XHDY4PXHY4nTFYYPTkwnhnO/J0Il9HzDa\n/6HPxe1DLYvyAvylqr5jhDYdW4fTFYcNTk8ctjhdcdjg9GSMuD3f4+N/Ad8jIr6I7COc4WU9s/wh\n4FoRuSb6/T0p5VaB+CtNnwReHX1/Wyz9U8A/AhCRm4BXROmfJVw+uj7Km5PwRUeOyeF0xWGD0xOH\nLU5XHDY4PZkQzvkeHx8G7gXuAf4a+AlVPZFWWFU3gR8A/lxEvkiovCuGor8H/LiI3C0i1wG/AHy/\niNxNuGdryK8C8yLyIOE+qS9G7bwAfB/woWiJ5zPAy0c5UMfIOF1x2OD0xGGL0xWHDU5PJoR7zvcU\nISLzqrom4SanXwEeUdVfnHS/HNOH0xWHDU5PHLY4XXHY4PSkGlzke7r4F9GNDfcDS4R3FTscJpyu\nOGxweuKwxemKwwanJxXgIt8Oh8PhcDgcDscW4SLfDofD4XA4HA7HFuGcb4fD4XA4HA6HY4uYqPMt\nIj8k4WtN7xeRH47SdovIX4rII9HfXZPso8PhcDgcDofDURUTc76jZzr+C+A1hK82fUv0TMd3AX+l\nqi8B/ir67XA4HA6Hw+FwbHsmGfn+KuBzqrqhqn3gb4DvBG4DPhCV+QDwHRPqn8PhcDgcDofDUSmT\nfL38fcB7RGQPsAm8GbgTOKCqz0VlTgAHTJVF5HbgdgBpNF5d379//D12bAndY8dOqeq+quQ5Xbk8\n6Z89w2BtXaqS5/Tk8sXZFIcN/TNnGKyPx6Z4tcarW0tOTy4XNk6PZlMm+qhBEfnnhG9LWid8ZmQH\n+D5VXY6VOauqmfu+m1cd0St/9IdH71DRU1HkEp3WJzrmHYNNvyszVSFP/vCPfVFVb61WakjzSEW6\n4pg4x//v/0TnmWcq1r6QSmxKmWu+6NFMq12B9GPJ6vNY/pvjtymHfsTZlMuBZ//j+GzK3N4jesNb\n3jkO0Y4JcOcHfnQkmzLRGy5V9TdV9dWq+vXAWeBh4KSIXAEQ/X2+msYsPuNELD5b1U7Vbdqc2606\nzw7HVjENej6NNmWUtovaEmdTHA7HNmSS204Qkf2q+ryIXEW43/t1wFHgnwLvjf7+yUiNFDHMRSPZ\nVcselhlXn5PYtmPTRpE+J8uOKdrlcIwFZ1OyqWK1rKhD7WyKw+HYRkzU+Qb+R7Tnuwf8oKqeE5H3\nAr8fbUl5Cvju0tLzDLitgU6TY6qfVjaenteuZMixlZHXn6rJ6k9eH4b5bsB0TDvTalPy2q7Sppja\nrppR7Em8jLMpDodjCpmo862qf8+Qdhr4prE3XmSQSytrKm+zz3HUgaHKqJGNrFEH7Xh+liy1kOVw\nTCNF9zdXbVPiv8tcQ9vJpiTzdpBNUcOxiNt24zAQ1xWnI9PHpCPf1TDKwJAWPYr+XlBg0Qs/hoos\nQay+SiwjWTcmdxQnvGw0aNyDTxEHI88R365GIvofqwCexn5fPCBRueh4BBKqi9uzuv0pa1OGyUMd\niKLTYtIJW5sy/F3kmp+iGyNz294BNkVj++bVU/Au/kX0xcerAgFIEPsb6ZBzui5fNDbmqBd99y6m\nJfVkaFeGfosEsTSnJ1vO5eF8lyW5FSRu7HwFX0NHyouV7wv0PaQrSE/w+uD1I2OHoJGh1BrRd8DT\nSwxqpYPBqAPkOPdn5m21KbMfdRqJ9EVrCjVF6gFeY0CtNsD3A0RAFQYDj37fJ+j6aM9D+4L0BRmE\ng6Zjiiirk2k2xR/alpgTFTlNGkR60Be8viADwk/AhUm9eqB+NND6VGdTiqwAppUvUt9Wzg60KRfG\ni6EtqQd4zQG1+oBms0er3qfhD6j7AzxRAhV6A5/uwKfdq9Hp1On3fIKODz0P6Qs6kNDJcvblsuCC\nw+1BUIOgJmgNgnr08Yn5HnpxQh9EetAHbwBeL/xIH7y+4vVjTvk2vHa2I5eP822K9hTY53jB6NUD\npBlQb/ZpzXSZa3Zp1fp4orT7NVY2Ztg434Junfq6UD8P9XXF64Wygjr0W8JgBgZNGDSVoC6h7GhW\nmtsv26XnUZaoq8Smb1mDZtUTkjFyMVotF4yUeoqKgBfgz/ZZmN/kwMIqh2ZX2N1YZ9bvsjFocKY7\nx7MbS5xcXWB1bYbBWg0CD+lH0SqGxlUvRi8ck8PGpqQ5gBKbkNUDvNaARqNPo9Gn5gWIKP2BT7dX\no9uuEWzUkL6P14XahuC3we+CDELdUh+CBgwaMGiF39WP2vAM/Ur23dmUqeWCQ1VTtK7QCKjP9Jib\n7bB3fp0DM6scmjnHgfp59tbOM+d1qUufntZYDxqc6i9ysrfIs5vLnNxc4NTaHOsbTXqbdeh60JMw\naOQcq23NcOId1GDQlNC/aMFgRhm0lKAZ+i/UFPH14ipJNF7pINQD6Xl4HcFvC/5m9LcDfid0whk4\nPdkKLh/nG8rv74u2CmhNkdaAmfkO+xfXuH7xFC+dO8GR+hnqMuBEf4m7zl/NF7wjrJ9donEOFp/u\nM/PcJv56F/WFwUKLzu4Gm3t8OstyIXIVSBTBqmI/ZpUD5Lj2Z2YN/KbtNtsgYiXRdhFvANIDryfh\npIsw+tCbF/q+UlsKuHbhNK9fepCbG8+x7AWcCzy+3L2CT/pfxemNOQabPrVzNeprgvRD+WH0QtG6\nEPiEKy+OyVLEpsT0WmuKNgK82T5z8232RU7U3uYaTa9PJ6hxqjPPyc0FTp5fYL3vwYaP1xVq69A8\npzTWAmobAd5ACXyhP+vRnffoLkqoa7NK0BC0EdvuZqsyzqZMFTpcba0F1Fp95ufaHFxY5Zr5Mxyd\neYGrG6fY76+y4LVpyQAPJUBoq89q/QzPNxbYW9/LE/V91L0BJ2SBVRX6QQ0NvHCb22DSR+koy9Dx\nHjRgMCP0ZqG/oPTnAnR2EK6Q+MGFFbVABR1uP/JAvABP9EL+YODR7fjIhk9t3aO2KtQ3BH9Tw0l/\nf9JHfPlzeTnfYD9Yxstd2IcbLgGrCk2/z5Wtc9wy8yS3NFbZ5c9yavAcy/4GT6/v4nGWaK4oc0+u\nwqNPM1hfx5udpXblAYLGLjpLHohculwssXZtB8qyg2SRwXRU8toqsjd1mqO9Gi7Z+W2htgGNFaWx\nqtQ3wjXd7rzH+pUNTvWXeWxmg9csNNnjK/v9efzBOhtBk8fO7+XUsWXmH68xdzygsRaOiL1Zj+6C\n0F0S+rNASxn4EzxWx0WybEoyT4bbzhRvts/u5XWu23WKVyw8y/WtEyx7G2xok8c7+1ntt2j3a3Q7\ntTBCCQQNJWgKQR28gdJY6VI7twm9Ptps0N81w+aBBht7w3B331OCuqF/WdeRsylThwTAQNC+x6Dv\n0e3XWOs2eb49Ty/weWpzLz31WO212Og36KtHTQJma10W6m3qEtAJapztzrDWbdLt1xj0vXCLZLT1\nxLF9GW4zGbSE3hx0l5TBYh9vrk+tNiAIPHqbdWTdp7bm0ViTaOXsotPen1f68wE6N8Bv9anPdRk0\nfXqNGoFfI9wfKUgQRcAdY2XizreI+ISvlX9WVd8iIv8P8PeBlajI96nql7KFJL4nDbIpYjLcCxU5\n3l7XCyeFqz6dlToPrTY5155h5cAM7aX7uLlxCgCfAD+yZBIoqCKNBn6jAfv3sHl0F+evqrFxUOgt\nBeFSkKfhtoKhEUxGaQz7RC/pb9pAU8UAOa79mbaRKFO5KUSipTsC8LpQX1VmTgXMPbtJ7bmz6No6\n0mqxeNU+zpyZ5ZHeIT7Ea1g9OMPVjRd4qns1f3biZh554BB77vHYff869adfQNttZH6O/hW7WD80\ng3oeQU0YNIjf4+vYavKc16zrxgPqAa2ZLlcsnOcVC8/ydXOPcGVtldWgziObB/nk6Zdy/zNXICea\n1NY9Gr7Sn1W6+/p0Dyrr6zU2T9RYnPFY7AfUjq/DuVUaG3PALgb1JoOWEDQFZnIu4iJb3JxN2VoU\nvEEUoexIuHVxw2N9vcbGTIvnGksoMNioUTtTp3VKaJ5R/E64rbGzW2jvVfq7e/izfQQYdH1008fb\n9PB7cknAR91q2rZjuC0pqIVbTfrzymBhgD/fx/MH9Ds15EyDuRMe888GzD3XpXF6E1lvI/0BWvPR\nuRbdPTOsX1Fn7VCDzYM1+ru71Jp9ZB4GKvQHfria2xVU1G09GTMTd76BHwIeBBZjaT+uqn9oLSFp\nbIssv2q4fcDfFOpr0Div1NqgXoP28n4+cuU+Pnr1jbz0iue5au4s53stTq4uANBZ8li7fgn/yAKd\nJZ+1wx7rVw+Yu3KFw4ur+BKw2m1yZnWO9loD2j7SLvBSUY39TUbLq4xejUpWX4oMmNthsCRaxfDk\nYn+7PQZnVyA4Q63bY1ftMIPGDI/IIX5rbZ7dcxucWZ9l5Zkllh702fXQJrVHj9N/4QXwfGqNRign\nkusc7ikhfr0V1U9PqfkBi/U2B+orLHhtVoM6n928jg89/TWcvOcAe++HhWc6qCesXNPg7I1w6OrT\nfP2BR6l7Az596loee/BKerPz7AFqx89At4e/0aXWaYTRqaIRzaytG86mbD0abge5uO82TBs0Pfpz\nPv3Z8IBa5z0WnlZ2fWUN/ytPMTi3gr+8xODlV3P25XOsXtWgt1hDgcaGUFsP5SHDe49g0NLwZl3H\ntuPCfu96eB+ZtAah492t4b3QYOFxj90PdWg9fJLBiecJel0QQXwfHQxAlXq9wZ6D+5l76QHOvKzJ\n6rUN+vuh1ugTtDwGTY+gLk5Htggr51tEXgr8KnBAVW8SkVcAb1XVfzdK4yJyGPg24D3Aj4wiC7jU\n2OYNnBfyQuNXa0PrtLLwTJfmsXNw9jzSqNM/tIeVl8zx2HVHuf/KI8hsH+15eEB7H3SWffpzHr0r\nunzVNc/xbQe+zN+ZeZRZr8/jvd38f2sv5TO1ozzT30WvG3O8i+xpNEX2i0TEswbHcezPtI1GmSYT\nBQfycelmEhUQT9Ga0J9T1Bf6Mz6bu+doXn0NzZUj1Db7DDyhu1TDGyjNUz4rusS55gLS8Wie9vEG\nSmdPHb3pCBIcpj9TY3XJp7MkdBfDLSeDVvS0nGl3HLYRpfUkzY5krbBF9wYMAo/2oMap/gKP9fbx\nQn+Rjz1/E899ZT8H7lJ2ffoY/WeO4e/dw9zsdZy90eOrdp3kn+/+NNfV5/n84pd4b/3N3Nu5jvrm\nHIuAt9FjMFMnqEX3BcTn8lnR4nj/TGXzbMZ2tCnDMgWvo62yKRCubkkfapvQPKM0VwL8rtKb9dg4\n6NGfVQa7+wyWBKROY22GxTN78cWDfbtZPzzD6tVC+3APfMU/U6N5Vpg9EVDfCBg0hM6SR2e3ENSA\nRtVHsHPZKj2RxDWsviJ+ACropk/rBY/lx3u07j9G/8RJvIUFuOklrF07T3feo7EWMP/4GvLo0/Sf\nOUar12O5fhW9hTrrCz7UB4gfhKsiYmjTMRZsI9//Ffhx4NcBVPVeEfldYFQl+0/ATwALifT3iMhP\nA38FvEtVO5lS0rZpmAbOpMPnhU8j6c9AZ1nwBnX6c3vwervpz3i0d3m09whBXfFXfXTDuxjwXArD\nTuor9DwePbmX/969lc8tHmV3Y4P1fpNn1pc5eX4h3I/V88x7FE3HkHZspnSbaFTWntU8yiwRJ7fP\nDMultRf//xRjXLr5IlQgaAVoK8BbbnP0wAu8fs/DvHb2UZa9Do/19vDxlRv52+eOcub5RWTdR3qC\n9MJQQmf3gPaRAew/z6uueII3LN3PdfXTnAuafG7jej55+qU8fHIfvXMtpB0+KsxRGcX0JHmtZTng\niYmwDAQ2fdZ1hnvah3n49D58UTY7dTrnWtQ6wtmXCedechVB4wiDZnijLcBff/pm/qp+E9oMkMYg\nfAxhUznzVR7rVyzgt8P9n/1ZLkzUrBzVovYlmZdVL8m4bIqpXtKmmLbtFXckttSmQPjYt9a5gIVH\nzuOdPIMuLRC8dh9rt3T4ma/5U/7J4ime66/xc89/A3/2wM14L+wj2NflLTfcxbv3f4IravP8zvm9\n/MwXvp3WvS123XUKWVklOLCb1Zcs0ltw4cwxsGV64g3A7ypeN9wWEgQSesiBhBO3U5sMTp3GW1hg\n7Y03cPwfdPnF1/2/vHVugzvWZ3nnZ7+HKz98A/N/+QCDU6dpntpHbbMOkRwNJJIdtuMYP7bO96yq\nfl7kEss30pZ8EXkL8LyqflFEXh/LejdwgnCO/n7gXwM/a6h/O3A7gL9rl12EyuCAqwC+0p8Jl3Ta\ne4Wg4dNf7jO3b41DSyvM1Hqc2pzjxJlF9GwTry0X9mF5baF5zqP1gkdj3adTn+Oe3VfQ3qf0lgO0\nEYQDct+DgVzsE7F+jeJ4pzkJprKmOlVg6o+pv/HjTqtT3N/M1c0X6cooRKOlH20puLb5PDc1OrSk\nxukgnHCtrs3gna/hdSR86oUPMgBvwyMYCKuzM6z3myz7G1xfr9HWDi8Mnueu+lX4fnBJO47KKK4n\nRVfS4g54P3TA+z2P1ZUG0hP8tke9HzrM/Zdv8uqrn+b1ux4C4KMv3Mz9d13D/s/D0qMbAKxdPcu5\n63w2DwZ09w3oLQte27twM9TwUYMX2gfz9TOKfUnmpbWxFTYl/t1kU9Lyi/dt62yKhE83GjTDR9Rq\no4b2+3DuPLPP70JONvns6vW8vPkcj3eP8JkTR2k+2mL2hLKx0uIzu4/yNwuPcm3jeT67ej1yssns\n82F9HQzQRi189G0TtF6+mw4jhfSkMVdeT4bP6PY74RalQceHxgCZGdBdqtHZ02Jmfo7Bynnmnlqj\n9eASP7f3TfzPvcf44qnDtB6cYe6pFYK1NfylRTb3tOgugcwMwgh6x7+w9ck96WRrsHW+T4nIdURm\nTETeBjw3Ytt/B3iriLwZaAGLIvLfVPV7o/yOiPw28GOmyqr6fkLnnOZVR0LzWmaJWMJIkjaUwayi\ncwN27VvlGw49wnfuupMb6m0e79f4zVNfz/Hnl6mf8fD6QncpIFjsE8wK9dU68yf6zN1znODMWbz9\ne9l42X7OXdegvd+nNxc97/eSAzAdlKF/tulJqlomzosclV0eTtYxOe125OrmJbpy5MhIboIEQM+j\nvdHgyfO7+Xj9Rh7pnOJEZ4lPHr+e8w/sYf4pwe8onT3CxhVKMDfAW/eZeV5onobBI3N86umb+dIN\nV/L6Kx/lYHOFpzb38uT53bQ3GkjPc08nqJ5yelJkJY1YHqED7nUEvyPUV4XGSvg+gPYej409HtfP\nvcA7Fh9lXpqc6c9zP9cwf6yD3nkfXrNJc+FGgpf7eAfaHNx9nnavxsrqLL3zDaTjZT86roqJfZG8\nOFVvO7GxKVnbTYrPY7fOpkj4YpRw5dWjva/F7MoysrpO83SbhScW+Njum7jnyit5/swiM3fOcvXf\nrOA9fpzg2is5vraX//P8bezffZ7jx3ez/IRH8/Q64nno0gLtfS06y14YXHLB76oppCdze0cbe8In\nbSm1daG/7jOY8ag1+7T311i5tk7z+cPIfY/APQ9x9cZR1h7Yw+eX9tNaGXD1Qy8QPPIEUqsTHD3M\nyrV12vsH1Jp9Bn0Pb90P7xNoK557JOWWYOt8/yChAr1cRJ4FngC+N7tKNqr6bsIoN1Hk+8dU9XtF\n5ApVfU7C6eR3APflC4t9LxihulBHAB+8xoClmTbXtE5zdW2DutT4SvcKPvXMdczd22LpyQGdBY8z\nN8PVh09xcO48dy8d5uzaPDPHFtEXTqHnVmisLFPfqNPtCtIifAuiaVtF1ZGqUbaglCFjUvOi/CKD\npz2V62YmCtITgvU6x3WZ06tzDPovZ3ByhuUHhGu/tEbt5Dl6h3Zz4mvn8A60uWb/GZ5+fjdybJbd\nD25Qf/YM/QPLnHpsD398w278A5v4tYDOZh3dqOENn1DgqJJiemKzlY1EmsG2yCB0wOurMHcyoHmm\nx+AZj3PrLX5Xvoa1G5vcPHuM+1avBGBzf4P5W26gvW+Wk6+uU7/1LG868hCLtTaPrO/n/uAg5zp+\n+NKU6MVML7qWxjGxLxMNH4W8lbN4uawoeLl+ba1N8TR8csmSsHaohgS7aZ6aIah7tM4GtJ5scOL8\nfurnhYVjAf7Jc/TPnqV2cpaFYwt0l2c4sdiidSYsH9Q9OLSXzt4Z1g7V6CyFN+nhOaNSMVuqJxKE\nL96qr0HQ9Gi36nhLXbzdXc5f30QGi+ytvwz/4acZPPgIM18RZqMbLgeq4Q26L72KU6+a5/z1ire7\ni6oQrNVprXjU16IXe7nAz5Zg5Xyr6uPAG0RkDvBUdXWMffqgiOwjNJtfAv4Pq1pFIlTxNGLpAwja\nNU6tzfG3565jddBiI2jwp0/ehHx6iUOfWMF/9hTtGw9z5uY6X7fvcf7xrs/x2d1H+Q98MycGu9i9\n5ya8XsDmgQbdRblwh7nG+2CKyExqC0qynom8yLjpd5mtJiUc8C3WzZAAvLaH9up0ztWpr3osPwV7\nv7SG3P0Q/X4PDu1mc5/yjdc/xLftuoePLL6Sv376VQD0nz6GHD/JXl4GzLO2PktnIQCJHjvmjF/l\nlNKTvJW0tLTYb/VAa0pQCwvWz7Vpnl2l9ewccyeW+IvHXsOfHPpqqCkecPomnxdetUj3UI/Xvuwr\nfOe+L3JV7QwPdw/wyPp+egMf+t5FHVFe3M94/9PSyqTn5aWVM1GVTUnLH8EBn4RN0ZrSX4BNFYJa\njeauebwBdOclDNzUlO5u5fSNPpt7rqK+dhW9edg4KHR3R6FKLyy/fniGwA/vYersEvoLhpVXx8hM\nQk+8PtQ2FT0nBDWfrjSoLXbRK9qcbTbpLi+wePXLmTvWpnZ6Den10XqN/p55Vg63OH/UZ/2qAd7u\nDgL0zzdonPZpnAvluud7bx2ZzreIGJ9AMtzjpKr/sYpOqOongU9G37+xvCDsIlTxvJhTLAOBtsfa\n6Vnu7h7mweYBNjaaeI/NcMUDPeThp+mvruJfdwVQZ1d9nRsbM+zzH+Puax/iIyuvoDfXpL4O/Rb0\nFsLXv164i9jUvzSHc1JbUIqSJjtv0MtybGya3SLdTCUACQSvH76eVwZK0KzROLgfbTU4fd0scvUG\nb919N98228aXu/nE1S9l5bpZ9rxwFGl36TZrFx4zFtQ9AjdAVs7IemK7kpaMeke/1VcGTaG3CBt7\nPeprs7TW28jJ0yytbdA6tZeVo03WrxQ6ewI617W56uAZvuHAw7xh4T72+Zs82VvmyxtHePTcXjbO\nt6ItJ2J2vJN9SR5LvN9F0ovkZWGauJjKmGQX3WpimpBkdW2SNkUgqCm9RQjqQm8hnIT3Z6Gzd0Dr\n4DpHdp1jodGmH/gXXrJT8wasdls8c3aZNnMQ+HQXQ4e9PxO+ejyoafUrEzuYSY89Xg/qa0r4Uhyf\nbtDAX+pR27vJ+kKN9cN1Gudmqa3P4fXCe9n6c0p3OYClNrVmn2Dg01+p0zjt0zoj1Nc0eluzY6vI\ni3wPn0LyMuBrgDui398OfH5cnSpM3hKxydAn84YOeF9gw6fba9GVFt6GR2tFQEAO7qO2dzdru8Pn\nNT28fpBPzT5GO1gmQGgsddg86NPdlMiYJhzvOKYBoepIle0AmReFKuLYJx0QU/vVRKimQjdVwhvo\nOnuEc9e3aO07RL8pnD8qLC9u0A4aPNc/RTtYZHlxg/NH5/D6+6l1lPaSR2dPtDriBsdxUU5P0laR\nTCtppORFv4O60psD9gvq1Zmf2cvMc3N47R5+u0/rXJ3uok9nD8zOd7hq4Qy7a+s809vDl9rz3HX+\nau49dSWnT8/Deg2JvzgljkmHql5Ry8vL6kta3/LqmiLdWVHw8itpk7UpkQOus2HQBo0eOzrXZ9f8\nBjctH+e1C49xXf0FZqXPhtZ4rLePz61ex1qvwfG5Jt1lYdAKx58Lr6x3tqVqJqonopEDvqrIQPC7\nNTptj95iH3+2j7d/k8Fej74KGoB4IKLUvCB8E+ZaA+98jZmzHo0VqG2Ejrd7vODWkul8q+rPAIjI\np4BbhssqIvJvgY+MvXdFyFsiJiU//jsWAZcgHOC8njBowerhGr25/UigrO/3gYAvnjzMav8b6Qce\nT5/fRa9dg7oyUC6+nTAZZcfwO2/ZeNR0E1UZ5CzH33SeIfv/Y9mvadFN9TV8lu5yGOHcPOAT+NDd\nFbDRafBnZ17JvTNHeHpzNxudBt1dASvXeniDKCIxE74e3L15bjyMpCc2jlxe/tABb0RRzQb0Fmps\n7J+nvq6g0JsLbQxAp13nsZW9nOvOEqhwenOW0ytz9FabFx8/meV4511L47QvedeuSVaRVT+Tncyz\nIwUc8KmwKUL4hKSoz+oDA2FlY4ZH1vYz4/dot+os+xucG8zycPsKHlnbz8rGTPh6ej/UtaEsR/VM\ng56IDvdnh46zv+nRW23Qn6/Rmw2gESC1cCuj9kH7PnQ9/A2P5ppHfRXq6+GbUt1Wk8lge8PlAaAb\n+92N0qZKflqWAAAbbElEQVSLLAOclp8W0Roav5rSmw+XAtu7Q0FBM8w7+8ICd67OogpB20c6fjg4\nChcjmXmOdzxtHAOjyflPMoqjnlz2jddJOuBFJkj2TFw31VcCD3o1wr24Xhh1Wj87w6d7R/lC/Sp6\nPZ/uWgPxoLekF8v5Luq9RZTTk7SVtKx84dLrPRYBVx8GDegugt8Nn1iiXvS8bqC/Wue53jInvCV0\n4KFdD+l54U24QaydoWzT73halXYkL52UMlnkTRBMNiWebmtfijFxmzLsswSEz4w/PcsD7TpPnd3F\n0sz11P0BvYHPymaL9Y0mg/V6ODkLKHO8jnJMXE+8PuFjbLtKfR0GLY9+ywsDOjVFPaLHFApeL3yZ\noN9WvG5U18V8Joat8/07wOdF5MPR7+8APjCeLpUga4k4np7MN5VPOI0qoI3whpXBTChk6CzJuk+w\nET6/SQIJDZ8a5KZFqdL6mHVsyfRknayoUVq5NOLORppBz4qG2TrayRWCYkyFbmoUsRoaMwmAdZ9e\ne4auKBK9SVWCKMrt45zuraWYnphWxkzpyXxT+dg1pB5oU9F6uB9XoieWaPQkCmmHESoFCCR8QEX8\nBty0iHHZCLVNNNrG7qS1ZZITn8CY5KT1r4ijnWe3spkKmwKRHekJ0vcJ2h7nVxqc9+YvHn8goWMV\nrYg4Z2pLmQo9EQW/FzrTflup+5Gd8bigJxJo6IRHY5DTk8lj+7ST94jIx4C/FyX9M1W9e3zdKkFa\nBGqYlzEgppaLDRAXXmgRU1oZvjQny4G2iXinlSvieGcNmHHyBuM00i5Wk4NvOoa0ATKeV8IBnzbd\njK94SF+gD5I4wc7p3npK6YlJf9MmjKaVs7SIeeSEg8GmBISPELRxgJN9TCsXv96KON55TnxWnq2O\n59XNi3QP05LHahM4SOvSlNkUiY5DugJducR+OCdqckyjnsgAiB5+4/RkurFyvkXkKuAU8OF4mqo+\nPa6Oici3Ar8E+MBvqOp7cyulGdq8AdEUTcmLoOdFb5IRm6z8tIhTMj9exjZ6bjqGtLJJ0iYCaWVM\nctMi3aa8+ETIkknopmP7UVpP0nTfNGE0OeBwqV7H0+NtJPPybIptxNhmEl7E8S4z4bdtM6tcUTsS\nTy/oeEy7TXGO1HTg9MQxCrbbTj7CRRM2AxwFHgJuHEenRMQHfgV4I3AM+IKI3KGqD5grxL7nLVOa\nHHRTRCjpCGY54qa2TflZg1zagGOSX3RgTIt8mWSnUWSCkVx5yItemdLt2VLddGxbiulJ2nWV5WyT\nUQ7GY1OybEJeW/EyozjeebYhC1u7kpzADP/aOuDFcDbFYYPTE0dpbLed3Bz/LSK3AD8wlh6FvAZ4\nNHqIPSLye8BtgNn5hhc7fDaRkKxolCm6ksy3iVQnf5dxoJMRedt6pr7EsXG4s5Zu85ali0aobPqU\nbGLrddOxDSmlJ0MdLbJik+csJuUk27O1KaNGrk220qZePL2o020b4Tf1q6ijbZr8W+JsisMGpyeO\nUfDKVFLVu4DXVtyXOIeAZ2K/j0VpKR0ypBVxRuNG2hSdin9MCPl14/0os6Rbpl7a5MJ0LMljSHMM\n0s5Fsk6Vk4QCbIFuOi4DcvUkz7G0nXgOy1ZtU5L9qCJCPYrjbepXlj1J1jOdj7SVgqJ9HRFnUxw2\nOD1xFMF2z3f8jU4ecAtwfCw9skREbgduB/B37bqYUSRCYkozRUtMy6DJMqb8eLkqItfJSJxtvbS0\nPIfXFHk35Zv6MRw4x7xEbKObqbri2DGMpCdF9Ni0ipO0KWmrbPEySUyT3bz645zY2/Qrq2zauYin\nmc7bKBFwS5xNcdhQVE8ac05PHBexjXwvxD5Nwr1Ot42rU8CzwJHY78NR2gVU9f2qequq3urPz4WJ\necuaWVFhTfwmUdYUxSkSDS4axUm2Y8Kmnuk8jBLZzouMm/pY5P9SnFzdvERX5uZGasyxbSmnJ3nX\nY941OEzPiwpn2ZSqosGm6890HefVSzsPeTbFRBmbYtuf8jib4rChkJ7UWk5PHBexveHyAVX9g3iC\niHwX8Acp5UflC8BLROQoodP9duAfpZZOGl1TNGr4O2m0k4NRMmoVz7MhKxpeJmptSk8bMIs698ly\nSUwrBMn8NJmmQd4mSlicrdZNx/akmJ6YVnKG6VnOX7IsjNemmPpaJj0tgl1FVN0k02SzsvpmcrLT\n/i9pdtIeZ1McNjg9cZTGNvL9bsu0SlDVPvAvgb8AHgR+X1Xvz64U+17GCY2XsY0Kl40GF+2jKT05\naBaJepl+2x6LTTSuzPk3tWnHluqmY9tSXE+qiDAP08dlU6pwvJN9HCXCHyfrOOJ10qLjo5z/uOzi\nOJvisMHpiaM0mZFvEXkT8GbgkIj8cixrEeiPs2Oq+lHgo8UqkR1pTaaTKAMvHoDiebZ9SGIT3SmT\nblsvS1aWw5sWsc/LN0W18/4vpv5lMEnddGwfRtaTsnpsSq/SpmTJGyXdtl6e020izzaZ5GetKtjY\nd1MbKTib4rDB6YmjCvK2nRwH7gTeCnwxlr4KvHNcnSpM3hJxWrryYmNtGlzSBqc8o26qN4kBM09W\nVlqaPNOAa1omLjJAFot8bw/ddEyacnqSvJZsHXBT9DUux/Q93mYZmzKOSLhtfpbNsXF60+qYnHBb\nBxxDvh3OpjhscHriGJlM51tV7wHuEZEPRltBppeiESrTQGhywpNl8vqQhq1jW3Z5NU9e1iBaZmk2\nLapu45Qn+2MaWHPYVrrpmBgj6UnRSKtJv7fKpmQ5vkXsi+n6TKtXxIlP1jPZJZNsk03IOv/JMgUc\ncGdTHDY4PXFUQd62k99X1e8G7hZ58ctKVfUVY+tZGWwHyGSazVaTvKiQiaw6aYOKSbZtRDspM8/x\nttnykRaNy1ttyHNQ0gZf+yXi7aWbjokwsp4UdbQnaVNM+WUc72TaKI53keMxTciHZWxW0tIcd8sJ\nvbMpDhucnjiqIG/byQ9Ff98y7o6MhO0SMYm8ZP2sZWEbp7BIdHscA2ZeX4o63lmYjsHWATfJKb5E\nvD100zFpyulJlm4P09K2RmDIS36Pl8mizIpZmbwikWubdtIm8sn8LDtcxAFP9imvjBlnUxw2OD1x\njEzm005U9bno6w+o6lPxD9P2GtUsJ9WUZ4qIqKF8vF78kyyfVyfZT9MkIK0sGelpcpP1bGWZjsl0\n7EX7lSyfN5DnsK100zExRtITGztCRnq83lbYFJu+Fble067VIitqWccS71OZlb5k+bx6OTib4rDB\n6YmjCmwfNfhGQ9qbquxIJRQZaEyOZTI/b+BIkuWkZg3eyd9FB/q8yUURx9sGGwc87XiKLGHbsT10\n0zFpyulJkQlxUZuSd70l7YmNTSna13henp0wRftt6pn6Zzr+onbONDnIq2eHsykOG5yeOEqTt+f7\n+wlncteKyL2xrAXgb0dtXER+FPgFYJ+qnhKR1wN/AjwRFfkjVf3ZfEGx7zZLl6T8LuqY5jmKtnWK\nRNHKyLFtZ3iu8gZq0/lMWyKOk7UUXGx5eOy66bg8KK0nJscwTe9JyYP8azLLAbXpl6mOrVOb1l6R\nKHSZ1QBT/Tx7PUzPWknLsi8WOJvisMHpiaMK8vZ8/y7wMeDngHfF0ldV9cwoDYvIEeCbgacTWf9L\nVYvvpYobXzAb7jRDDS821nkDTZG8NJnJwaKM420TPUsy4vLsi2Rlnde8NsoPmmPTTcdlRXk9KTKR\nN0V0t9qmlJlw27ZVdTs29tqUnpSTZzOS7WTjbIrDBqcnjpHJe9TgCrACvANARPYDLWBeROZVNek4\nF+EXgZ8gjHRXQ14UKs3Aw4sNtE1EqIzja9OWbaSqiENeJGKWNqBlnbu0SGCyvk3U3IIx66bjMqES\nPSkycc/S5XHZlKLR8Com9mnlisjKstdp9rnMRN5yQu9sisMGpyeOKrDa8y0i3y4ijxBuB/kb4EnC\nmV8pROQ24NnoeZlJvlZE7hGRj4nIjRkybheRO0XkzsHaevp+wHgaXBzg4lsjkp9kOdOHjPp5ctLK\nxTFt90iLruU55CY58WVc0/GYyCpvysvqU95xWGKjm5foyvp68UYc255SepKnq6ZrPJm/FTbFVC+r\nX1nHZJsel4FF+SJ9M9mRpC0r218LnE1x2FBUT/ptpyeOi9jecPnvgNcBD6vqUeCbgM9mVRCRj4vI\nfYbPbcBPAj9tqHYXcLWqvhL4z8Afp8lX1fer6q2qeqs/NxclxguYOoVdpClv8HtRZzI+Jtmmulnl\nbKNRWdGtInKSZWycYpNsGwc8S44dubpp1BXHTqOYnsxHepJnM9LyTVHvcdgUkwzbPsbz43mXA6Md\nk7MpDhsK6Umt5fTEcRFb57unqqcBT0Q8Vf0EcGtWBVV9g6relPwAjwNHCd8Q9SRwGLhLRA6q6nlV\nXYvqfxSoi8je3N5lGVqbASvPYU6rW6S8jeNvGkizjm1cg6Zt30ahur4X1k3HjqSYnmRda2n5aU7w\nOG2Kqb1k2WSZrPy0vFGuUZvjKct4bKCzKQ4bnJ44SpN3w+WQcyIyD3wK+KCIPA+UWkNR1S8D+4e/\nIwf81uhpJweBk6qqIvIawsnBaWvhyWixKRJuiiinLaXmtZGVloZNNDxeLi36PGr0OO382NQzYRtJ\nz6pfbhCuTDcdlzXF9SSpk+OyKXHKXANFbUpamSpXp4qcq7Q+pGFrR5J9sMfZFIcNTk8cpbGNfN8G\nbALvBP4ceAz49jH0523AfSJyD/DLwNtVNd98Jh3VIUWiQ7aR3aw9lHl1RulfVntlIz62S+Cm9oqs\nF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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "capwin.rotate(clat=45., clon=90., nwinrot=50)\n", "\n", "fig, axes = capwin.plot_windows(15, legend=False)" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "In rotating the windows, the spherical harmonic coefficients of the initial `tapers` centered at the north pole are not modified, but a second set of rotated coefficients are created and stored in the attribute `coeffs`. If you ever forget how you constructed your windows, you can always use the `info()` method to print out all the metadata:" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "kind = 'cap'\n", "theta = 30.000000 degrees\n", "lwin = 29\n", "nwin = 900\n", "clat = 45.000000 degrees\n", "clon = 90.000000 degrees\n", "nwinrot = 50\n", "dj_matrix is stored\n", "Taper weights are not set.\n" ] } ], "source": [ "capwin.info()" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Next, let's calculate the localized power spectrum at two different locations, one in the northern hemisphere and the other in the southern hemisphere. We will use all 34 windows that have concentration factors greater than 0.99:" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "k = capwin.number_concentrated(0.99)\n", "\n", "mtse_north, sd_north = capwin.multitaper_spectrum(clm, k)\n", "mtse_south, sd_south = capwin.multitaper_spectrum(clm, k, clat=-55., clon=90.)" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "If you don't provide the central latitude and longitude of the analysis with the parameters `clat` and `clon`, the coefficients that were created previously using the `rotate()` method will be employed. If these coefficients are not available, the analysis will be performed at the north pole.\n", "\n", "`multitaper_spectrum` returns a power spectrum whose maximum degree is `ldata - lwin`. This is because localized degrees beyond this limit depend upon coefficients of the global data beyond `ldata`, and these are **not known**. If the global function was truly zero beyond `ldata`, you could simply construct the spherical harmonic coefficients of `clm` to have zeros beyond that degree.\n", "\n", "When a function is multiplied by a window, the power spectrum of the localized function is modified. For the case of stationary and random data, the expectation of this biasing effect can be estimated using two methods. First, we could calculate the \"coupling matrix\" using the method `coupling_matrix()`. The expectation of the windowed power spectrum is then simply the multiplication of this matrix by the global spectrum. If you are interested, you can plot the coupling matrix using the built in method `plot_coupling_matrix()`:" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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6nYUQaIYUdHYh6KygzgeJe0Yo145bWw46x0JVqQegs3AErAWdtfL6mPKZTUY5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\nQmOxZmgq1lrbVKzYp03FRHX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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = capwin.plot_coupling_matrix(ldata)" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Here, however, we will estimate the expectation of the windowed spectrum using `biased_spectrum()` and the global power spectra used to create the data in the northern and southern hemispheres:" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "power_north_biased = capwin.biased_spectrum(power_north, k)\n", "power_south_biased = capwin.biased_spectrum(power_south, k)" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Note that this function returns a spectrum with a maximum degree `ldata+lwin`. In calculating the expectation of the biased power spectrum from the global spectrum, it is assumed implicitly that the global power spectrum is exactly zero for all degrees greater than `ldata`.\n", "\n", "Finally, lets plot the global power spectra, the localized spectra, and the localized expectations. Assuming that the data are unknown above degree `ldata`, we plot only the valid localized spectral estimates up to degree `ldata - lwin`." ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "text/plain": [ "[None, (1e-08, 1.0), Text(0,0.5,'power'), (0, 171), Text(0.5,0,'degree')]" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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yZxPN2UbzgGMEtG9kBKI774TmzZ332VMrkK0Dz2LgWWCOiLRQSvXBWNSrW/Gr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\n24XqlnNaMd1+++1s2bKFKVO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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "degrees2 = np.arange(ldata+capwin.lwin+1)\n", "degrees3 = np.arange(ldata-capwin.lwin+1)\n", "\n", "fig, ax = plt.subplots(1,1)\n", "ax.plot(degrees, power_north, '-k',\n", " degrees, power_south, '--k',\n", " degrees2, power_north_biased, '-r',\n", " degrees2, power_south_biased, '--r',\n", " degrees3, mtse_north, '-b',\n", " degrees3, mtse_south, '--b')\n", "ax.set(yscale='log', xlabel='degree', ylabel='power', xlim=(0,200-capwin.lwin), ylim=(1.e-8, 1.))" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "As is seen, the expectation of the localized spectra (red) are significantly biased at low degrees in comparison to the unwindowed global fields (black). This is not necessarily a problem, because this effect is quantifiable. The actual localized power spectra (blue) are found to closely resemble the expected value, especially for degrees greater than the window bandwidth of 29. \n", "\n", "In this example, we calculated only the localized power spectrum of a single function. If you were interested in the localized cross-power spectrum of two functions, this could be caluculated using the method `multitaper_cross_spectrum()`." ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "## Arbitrary localization windows\n", "\n", "We next demonstrate how to perform a localized spectral analysis over an irregular region. For this example, we will first create a function whose power spectrum is different over the oceans and landmass of Earth, we will then calculate windows that localize these two regions, and finally we will perform a multitaper spectral analysis similar to what we did with the spherical cap localization windows above.\n", "\n", "First, let's read in the spherical harmonic coefficients of Earth's topography (referenced to mean sea level):\n" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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tlvceHHHtcDOGcSyrnss+mW2XsRkBz4oSYTRXRa7qd4xOhfJcTD+fRtaPelm5\njbLzihqz21f62008RX4wJhKtsPl0T/1uhfGyK8miKa9MYwKlMegtx+iGGsI8lXhxG8Fuc9UFYSyE\n1x/CcJRZ9NYQjlPVDPvGHLdOmpX3BnFJWig6668HS3qSRf7visjbIvK9qvplUlG2X8l/P8W3UcIW\nGHPB0hsdo52jyug2LkmO47xWvGZX+vFxLvjdgaYZ/bv/O9e7jLPZ3qwxFauvyrQFnLJpOQXT+Wyg\ndoFNV+FsZNH0GNHk2o7CEFIckMDoZjfCCEbFmxOijEAUNc3Em8wAem9H8Xk167jIjEhVkrkQJGkX\nUeCsStn7TtEqIi79aQ7oW8w62j6d6/r+ipf/fs9wYHn3JyPLr1U0D3MiZm4Xr6Z8w+XbBnuuRYLB\n9Mr8HtjW4heW7rkBaZK2U/SWEAzDWcPyTcf1L3naY0Os4PRTFdXlpCqoAdGU76Y2Ad/ybUu7XaAv\nbTk5W7JYdCyanrNuNsZjXV8mx0gSx1P/bvvkSjKS6mzFvfCQ8n9ya2V378tEZsyuLOcYLJv1o8KO\ndjFWYW/fxoB1yQPmB4t/JRAE4mnN7D1LfZ5y+0YyPkkkjlU+rEkBjaUUTUm3MkOKxK7PoT43dMfQ\nXw8071SYPkWJI7B+PuAaP15D8Ja69olFf8T2pL1sfwz477KH7WvAT5PiGL+9EralFXfwZNM4CYlS\n0hEM7AEEPOYhmv6OImbutlurY6yGZjwpQqjLbu/HAVYJzotRsqi5z4qmrdRTi5r23VSeykSGaLix\nWHNYt2x8zVun1wjRULtA51N8y6pJtW4gDSRrDEMw+CxM+yD4HA9UzMsQDN3guLbcEuaGs/U8aTSS\n8rBUhdAZzNakusy9oJVJXpcmDZxtV7O9aJi/3vA9f/WChz+wwi+E23/HsHqn494PN2yeB7+MHH/R\ncPwahJnw4Dd5Dr/sqDaKGaC9IaxfiMRFwB4M2LsNy9cqrv9qT3Ux0B/XdIe5gkKM9CuD7RXbZ69Q\nriQWEdQlfcX0Gcx8AqbZA2HrZuhzbdKcRDmat1gTab1LrNEN3JxfctHPOGnnKfJ5EkRqTdy9tjFH\ny+8mpmncVHnOpjFLpcWsZxalbHxe8qTKZB/FFHdVFr57C0vP9uVI9VqFRHBDvn63Y5+2ZMMESVUR\nfPa4jSWSU+iM8ZrDAYTDr1jMoPSHsP3hDTEnjRfmnqSF5HAZmdJHaE+6hO0XgMetUPBtlbCdUt/0\nXkedpbhrp+DwoYN/atOPQLVDoaluNK2JA0ngjapZgLbjMXd6AvlcCu1WrPUpxiXvq5hfTZ1KnDY2\nsKh6npuf85WzWylL3DusidS5LSmqAAAgAElEQVQ24CRyWLW8fHzCeqhpvRtL17Q+pSyEaOhzxLGz\nEdVUnsTZQNtX+GgIwVFCIaIm1tUNjhCSTlJKqKKgdRzzryA93Kqg1hCL+P5uzSf+yjndjRmrdwdi\nZTj9tMPPahb3lOUd5dqX1zz8/gNElQc/EpFeOP+BAXNhqS4Mh19TVu/C/H6gOvd01y3DytIfWvoj\nN5YWMf3OFBIlLeYw5HKs5RZNtT+TTEgNKWl1dt8wbOcML3VcrGfcXK2Zu1Rj6LSdMwTLouo5arbc\nmK356ulNIJIK1qXCZ4ndpPtctLOpw2JqshVzbXzuimzA1ckvDe4hWCobCCpjmo1msy/4K7qNVc6/\nz3P4JYftlGqzK8eTivsLEpX6THMlDCHMUuZ+dZ6EbDsoIW+f31NmZzGvFiOstw5pLXLcpcwSb3cT\nPI9h/t9Be9IM6delFZQ2wl5Z2sRWEg1O70tQ2y7+46q5totq3jfJdgeTseNHUzC3Ym5NAajEn0R2\nEb5Q2FSkdoFYyZimAInRqArPL8+4Xm8A+NTRB/zS/eeYV55V3XGt3rDxNT5atj6ZEUOwWJMKbh02\nLVGF03Y+ag/puoSoSp9jga56+qKmc/EhRbI3VY8xlvXpjPq4xQMxVhA1zegBJBikN5jbHvnqklf/\nx1PWLx9QXQZiZbB95PCtkKoxNqn42ubFBa5LZWc/+b8qtg1EJyABlZAWZYjQHznCLGtUveZVTBQ7\nWfmi1Ng2Q5kxEiPI8a+4VvHzVJyebC7GSlMkf58qTcqbM7rbngerBZu25vbR5agfDdHSB0eL5HAB\nm8XniMmxVkVbGoIdPWyPc3ioMnpFCzBV1X51/KtaVO8t23UzJm5rKXViU9J1mdAkLyzQHyd9SC3U\n52m1HfIqMirJdEvmbL6HmhwMtt/1l+1Tnw5zQ7WJzD+I6Bdq1i8peq0kZoOYXR3uX4/6Ix8LQEoU\nObmrS0xN0wyUgLSSCV9C90t6gEjSPNbbZgSqsv1xtLq08rDs4RTl+7JjG5O6SzuX/I52uwxIQzBj\nwF5U2LQNqgPvXF7j+vUESE4iB03KQ7rWbAFYuJ4+OrymHK7aBq7NttTGc9Itsl4kI8CVPK/aBdZd\nnfPgkolpbWQYHF3naPP1NbOBygU2bY1ZDgzbClMlNiMhrTzSPEgm0fr7Wz75XxuqByd0t5fYTpGo\n2C6kdb/6yAc/OOPZnz3j8tUVkpdYsl1EvBJqk4upKRjBdknzcZu4c0qSzDmdOEohzfq2V4oyrUhi\nSkZIdbMZ9Y9Qs9OWbAaqALSweNtxIke4w567Dw959vo5IsplX7MZKmobOJ5tOWnn4330mp+7iff2\navDptJVo+6oKo4s/PXNTRpVSS4xJ4RSuCsyXHcNg8b0bKxY08xRx7uowlpuVJjAsU6G6y097Fm9U\nLO4mkEnMMWtGVrIzQXGt0F5PcUe2UyQHTgJjWIYZlNWdwLCy6MWc9lMd4mKK/ZsNEA3WffRlRz4W\ngATkWJpdouWnjh9wXG+436446+c8XC/GMg19Li1xsNqyaRtuHK754Gw1Akix/4vgCOwV3pq6coHR\na1cC9pAJGOVWSlCU38do6LJmU4DTmMgwWJbznpurNZuh4mfffZXaBb73+j1+882vc6c9YuMrauOZ\n24Hr9YYzO+esn6EqKatdU0CoER0z1n0wNDbSOM92SBnvxZwNeTCVmbaU222qgft3j5BLh7nZoVFZ\nfH4+liqVmD0yB8qn/0zk8sUZ7sglb82QqL7EFHCJwu2fXyOqzB4MhCYtrWOGpOuo6GheaQW2j4BN\nsziMlQl3a4ClfRZWJEHH45khManiK0jmWypTYjsZZxIVcFtobzCKu4uvOzYvgbvW0zjPnbNDYhTm\nTc+iSn7x49mWVdVxf7vKK4NIYrrKWAK45OtNS9imnLgEHsNgcxBkHIXx8gw5F0ZWXdU+7yuXwHW7\nSW17PsPOUklgYxLwilHkhS39usLMPVDtiEtmjtFm4HfJFIs2mXahyZ2iyuw0/SjUgnol1gm4j96I\n2F4Z3qiwXfJkXvzkQIiyWyzzI7SPESBFDuYt667mB2/d4Wdf/zSwA5FmNuxmrPykGoFZPaQqeROP\nWIxCM0teA4ExkNHlWW0sXQG7UIJJK4mr0+NDKcS1i4zeLThgqKrAb3z2XeZ24PPvv8i7JynYs3IB\nZwP3tyveubzGYdNSG8+h6zj3DW+vj1MxeZ9y0YZczqKYac5EVrOWszblCAQVeu/2zMoC5NJ4+j6J\nsnXlOTtfUt+p6J8fEghbw+aFSH1i2L7cI3Xkhb9YcfC3v8LF7/gMrouoCFql2tZlQcvSTOe5/5uP\nuPmLF5jB4ZduBCwTU36eRMW1OXl1iOlzyaJ7nfvUg4m7pajKfyl5KOT3Jeiy3PLy0Y64IiExhDRI\nGUVvMZGzdkbtPMeLLZUJ3Jyt03lJ5Fq15aybs1xectrOU/hETJ7GOHGAFIZeHB5XAx+LdFDYsx9S\nFUhjI3Xt6boqgZPuJ3SrCrYJxFxy12SnAiro3YajNw3V2lFfpj5sj9MEYIfUJyEXrIt1Aii/VOqz\ntKgCCMMii96DMiwz+PvkLGiPTNKWBOpL5fgvLXj/d/tH69B/B+1jA0jDYDnxC5yLfP7ui7jXZ8TP\nbMbyoe22xrrA9cM1PljawbHpKvou6S/WBfpthW4c9QNLDPNUdS+3Z3/8DrcXF5x0C75+7/oj8l0J\nvoQPN/XQNNMWV72qcLhoOd/MWDQ9v/LBMxzOOj5xdMqPHb/Jg2HJly+e4eXlQ97bHvL88gyD8v+8\n+0nuLA8BWFU91kRuzi+5HBpCNKPwbSTVC9oOFbOSBrKZ75VdEYGmSfFHtfP0naOuBi7O5xx8foYo\nhLlDZ57lqsXPBtpbNdV7DZ/5L77G+kc+wcVPfAbbxtGdr7IzCUSVWBuGpSXWBrdV/EHNsHI0D3vC\nzI4xSZBEZ+kjWpkdmGSPme1j2hZzfqHLOotNAyV51PJvsrtfbWJE0cHeMufCuKCk2+SqkllHgeRF\nPZ5tx/v0YLNkVXXUJvBBe8DK9dyYrdn4mlXdEdRw1s6SxuRd3kcc5YIp+JR+L/FcNmcYQKpAUICr\n1IjSmPSiImJbF/Gd5eCXm5zioXTHwuYzPXbmmd81VJeKHYpLD+YfRPoDg59JYkJAidmNFZg+aU5u\nk8xaPxPcNn0hOli+H+gP0v2znfLuHxiYrzq6riKeNIxLiH/E9rEBpMWs5+ztI3hgUzzFcSR+MGOY\nB45vX9D2FX3vuPflWzQvXnLzYE0fLLJoOblYAGDu19hO6K8Hrr1wzsV6RvygoXlgufP3nuP+Z5fc\nWG1YLjo+e/N9HnYLXr97K81s3qbM8GD2ZrNpZrurAkOw/N5XXmPtG4xEVrajMoEfWbzB28MNXlu/\nwC89eJ7/bfv9Y6DeF0+eQ0S5sz7EiPJDz77HpW+46BvOujQISozRsk6mhiGtIlGZVJCrFClzJhIk\n0f+q9libipktqoG3fvUZDl632H5BSsJQ/ELg2Q5/XrMOwvIX53zP3z6nu2lZ/6ZPoCK4bVkkLek/\nxisl2LE/qjCDYttIrITtTcPRVz3DyhFrg/GJVYlqem0yoHjFaBxX6VURostmmDOZWWWvmVeiTWBU\nto3LhJM9bwjRFlF8/9kpUcyQo8c7w9Fyi1fD3A5EFV44OKM2gTY4Fq7nfJjhTGBVddxo1rx5eZ2Z\n8wwm7chPKgQUz9ojidWTNmXwIZgx2TldQBrszZfmuDU0Z4rbKsbnGCUrLO9Flu9VhFlFqBMTcq2O\nwZIpziix0foiedL8Mq1KHBsdl0EXD9Wg2Da7/d/2mPupr2cPA5vbjssXBLF9WheuHuBgw7IeuH++\n+k6H79g+NoB08WvHKSnxkjTrvbRmeHfJ/PWa9o0b+N9wyXLR0T4Xx3SAs/Wcbl2nJW9spH75ksoF\nnl9uaHOawMEzD5i7gZkdxkDL51fKV05ucXK2xNiA5tgezYGNJvJIAu+sSQGOF5uGv/z1zzKrPL/h\nxh1+dPUGb3S3+W/f/63cXR+mCogxxQxZo6y7FZULuRRIWg7nnctrVDZVW6xtSK+zsHM51FQ5NqYP\nloOm47KvWXf1ODD6rsJVfhROD5qON967yeK9FNezvS2ERnHrtLa7iFJdazG/tuSF/+Mh2xcPRpMI\nkmkFjIwmsZgETgC2DbnSoOI2DtN6+gOD6c0IXqG22C4k06CLielMCY1mjxBgu5DMN8nnoLtjpZzc\nDFB5AUjjk7lmQvbKMYnPGRJgRSfYVrOnL2lvjfV0waVlhEwgIpz1c47qLTebS97ZXOOoanlxfsJb\n6+MxzGLM7tfHV9QsbVrWBhLLL7mX40q0JjKcNSy+6li9m1jo6CEr6/ahSZuLyjAY+hWjV9F4TQJ1\n1o8kLxOFMIJRrBKjDDkeqbpI5uzig4iEElCahO3FfU+1Njz4of16tVGF54/P+LVvb9g+0j4WgKRR\niM90zL48G4WCvq2oLoXhUKkuBPfaivYHLrFfXDGslPsvS7LRs7hgXeRw0VLbQOsdVS4TO3dDWuHT\nVyxd4vNbX3E4a1nWPe98cG0MugzeUjcDQ3Cj3VashH5wvHL8kE88+5Cohn/y2ms8707YxIbPvfPb\n6LwjaFrCZuY8InYUpX/L7a/zmfn73BsOOXZrXqoesjQdAeHP3fknuBwahmhxEqkmA6nO5Usfni93\n5kKZhfPySO225r4ssXebNEjn0B9FqsukJ2xf7ZlVAT9Y5u8LYZX4vu2KhpMGA+yE5VgJOJNAx0OY\n21F8vvmFS/rrc2YPPMOBTUF8m5zA2liiE5o+5HXkDdGm1URMXwaHQU02OWM21WzyqkkEs4kJrGpS\nred8XJfZVqWg2XwrsTjRlXNP5srhV4XNZ2run6740Zfe5nyYcWt2ydkw46DqOK63/OrZM6yqbiyi\nf1C1XDDDeDcGSsJ+2Ejxwk63q8K8GQg5PKSwKPvGnPo0xUodnin1Oo7gbfwVfS7/N53S9IEmVw/z\nS7OLio95xRkj+Ebwc8EvU3KteKG97akf2LGcSXWRRHI1KQ8xNrB+xlJfKOvn0rPU5qj1WT3QB8tF\nW2zB77x9LADJtMLqH8zGZW38Ajit8K+0Kc/q5RTm3nx+hRmgORHWuoTvPUtVAAZLrMMIRkezlqXr\n+drJdUI0XOYqivd0xUvXTjmoW2oTeNAuSaHzQjWLRC/cvnVJYz0n7ZzzdRKSy4P35Xu3eaO6zo89\n9xYAFmVhOn7ymS/xdx++ysN2MbroX1id8dPP/R1esGe8G464ZS/4S/0P8253TFTDwnRcd5f85M1f\noYsVX7h4iTvbQxamZ4h2TB2BXKyfnQBfvISQZud2W+NeucS/viI6xWa3fvjsJTOr1JWnvax59v86\npX12iekTGJkugMio0yBpgPdHCZB9jmEZ6vQ/OqH/5ILmLCTgcsL2hmH1HrhtzIwlsn1mhu1jThJV\n7DbFM0WXwK4+84TGZI0ETGYLEtNvJCq2TSO+xClpZk4ScplXl25MtY45+33yXSOcvHGN2UsX/Pzb\nL/GTn/oyb22Ox7y/s2E2As6t+oIPhhU+xyKEqfc133uTc9+Sl3cHUMnrtqspXraFu3OWD4XmYWJD\n1SaOkeelkP6wtNguYrvJ0fLEUMxc2yp+YfKqK4KfkZcGF2IFw1KRmMzg+XuOWMHFZwLH/8DQHUgO\njTBjv/iFcO2rHX7WsMkldlFBK09tAx+8ef0jj2XRD1Vg/7/T5p9+Xr/vZ34aHyzOpqJirXepqJUK\nYeuwc0/zywuWd5TumozBYRc/1KVAs8Fw+KuO/jDdtO7FHtlY5s9f7tHuEIT5bOCzt96n9RVGIhtf\nc3t+wetnN+m949p8y9L1vHd5SDc4ri83/PD1twE4HRb8G8/8n/zlix+kMQNHdsvvWf4as/yUHps5\nb/oNAWEhSqdQCQwKa3VYlICwiRU9lp/bfIpKAq9dvsBJP+esT3WANkPFNueUlQLwZQme0sqdb5oB\n7y39eYOZeUxeadfayHLWc3oxZ/b3Vtz8pS5nhSdx2fRZw6iybjJ3+HliRii4Tpl9MIzerlAbwszw\n7u+G5/8moxnXHtnRFBkW6d4cfS3XQ/c6moShmYjxMTEzNbsQgKIbFWG7gJ7xOberkMSiU4WkKSGk\n9duy9y3UQn8gnP62jsWq4+Zqzdl2xsGsS+Vh65bTbs7t+QUAlUTevLxO5x19dpgUHQiSaTatv13y\n1Wb1MILRNGat+YUV8/cV45Vqu4s8Lx7JEoGuBtw65oj1yNkrNau7nmGZKzpkMT80hQ2ma/OLlGBr\nesFtGFNHqktNKSZd8nRKSGPh8jlLdyzc/KJnWKQUncvnLGf/WMBe7/CndVrC3cBbP/0nPq+qj8u+\n+JbakyzQNgP+NtDk8/gLqvoficgrwJ8HbpBqJP1LuXjbhzZrUtDgRVdzsZ5xdrHYWwddqkj0hu2z\nEeMNbg39UQqMm73e4Nbgl9nbkNfRqe9UDAfK4aId9ZdSgH67rbkcUib4wnrO+jm/dnJ7dLVf9nUS\nNWNK0Pz+a3eZ2xTDMmjHf/LWP8vrH9zgpeNTnluc8+Pzr3HdeA6M5Ty2NAKgzESoBSqEC1IOGxIZ\n1LAwA22o+KHZW7w93OCzyzv83/2rzN3Ag+2CykSoB04uF2M/6dX4qjwAUhVNScuN20BdB7w3bO+u\n6LZCbJQX/tQvsP6nfxAz6L5XzBrEK7EyyayaCe11oT5TmjtDAhNNWfYqydS79sWa7fU0U7ut0h2l\nyofNaUyMYJsZT54sCzsKM4vbhJGNjTqWMgJTilcqACST19nLJuzEcBhXpyndkURyqNaw/OUZ6x+A\ne1G4fXjJg/WC0+2Mg9mMZxYXVJI8mdtQjY6M4k0rcUiwW7gAdmZbjLBp610kf/58/otLmgdKtYlU\nmwgxaXK2j/iZSfFVMQGQZnaa+l+YP4x0hxaXWVOodjpaYkTJw2Z7cCdJxB6WZDYF9VqpLkv4AHkS\nEVwL1TtKey3tu18ZYg1y1OOqwPEnT1JRO1He+pZG/4e3J2mydcDvUtVLEamAvyMifxn4d4D/XFX/\nvIj8V8AfBv70N9qRqnC2nY11fcoyNU0zpBUyao/vHVpFumPh8ns81arH2Ih/fYVtZQSlYZVXugWq\nZzepzC3JJd6pI5r0AP3a3Vs4F/nRF95i7gYOqo772yVCivU5bjacbuZcdg132wPe2x5yo0lR1197\ncANV4c0PrvMm1/kth5/i962+zFkMtCoMmf4PEpgJrDWVvnjG9nQKd+OCQCAg1BJYmo5KPB9sV4ik\nSgCX3tIPrnh9k3KR46/2OLGmwZGWflKG84Z4YTl+LQ3Ms09Dt4jwfa+mBMyQzB52RIvQpPwyNUln\nUAOrOx7bhtGLBoo1iUUt309mkmvTgFu9wy6myICfmQwaJh1Lk1Yk24BfpnXC3GWADII7czEVpVay\nZ22IxMogPhJmNrv/ZQwH8HPJAy9dR7SS4nQyaDUPleHNGe31is28Y7utd8XtRDnr5zTWjzmGkAJQ\nS+nbac5fqccFaWLA8IiAHbaO+jTlj1WXsdye3MeG089YDt/cRa67bUzAZBMLtG0k1CmMItq06EWo\nE0PqDxMTqi9yHFfu10qz+XaQg1GFHIAq+JnQHRrOvhdufT6J25vbBtsq/T9+wcIFDudt8i7mnLuP\n2p5k+REFLvPbKv8p8LuAfzFv/xzwH/NNACmqjG7WsuxPufmLRbcLz7/h0esgudhYDAZe3tC9nApN\n+cGiV8qjlqWFi7FgbcRrqqzY94a/+8ar/MSrX2VuB5wJ9NFx3s148/Q6QYXoLV87ucGiHphZz8Nu\nFzFeUkz+yy/9Tn7lk8/zr9/8W8wk8rwTLqLnNBoqiQykJE5DpBGYiadVx6Apv6pXy+fe+W3cv1iO\naQvLJi1ZVII7Z/OeLq9GSpCxXIsAGCGsHWaeUg1W7yiuU/wsRd+6S8v65RV2G3Frv+eqh4gx0JwM\nDCvH8v0wzuCIECs7esJUBPGRUvU2NDmupp24+2OKcwmzZMapSb9Bc9DkJutJlcG1YefeV9Ix3MSb\nlZHXryx+Zsblekpiru3Sey1lWovr32WhW2H1jrJWy4PhBi98//u89yAFrFoTcRLpQhpCh3XHWTfb\nT6bNttW0/M0YFBn3X8fLiuZeAs1+aRIgqSJk1heVg6/HUaS3JdRiwgIlJmZVwCTU2UzLrKhExpuB\nnEfIGD4RH+YVcnNskuY+as4jN38xmbCbZxKQDgdw+2DNjfmG03bO6XZGn6sjfNT261Pm7TtsImJF\n5AukImx/DXgdOFXV4lN8B3jhQ377R0Xk50Xk5/3ZZm/FkLEMiI1jykdVhbwUcgabK+7Yvqvy0sZK\nMxs4Wm45WLQczLqxo+u88GFVpf+Fov/9uy9xr1vhTORWc8mP3HiLbVfziWunOBs4mrdpYUc13Ltc\n4f3OvVsyt//31z/LT//Kv8x/8M7v5zR6WoVaIg+j421/yNv+iI1a3vFzfnbzPVQS6NViUV7bvsiQ\n0z+MpOV+Nl091jSqm4GurcZVLOra7+tinQWjcL/hmc/3tNeTiZBc8FCfCGevONzaJ5JlDRIi0ZkE\nJPk5rE97Zg8HmpNh1H3IgZFFZzKZYRUwKtHVYSbZK5e0ofa6ZVgahpVJgDJPdZGik7wUdj7/UsAs\nJC+UlDCCWQrGHJbJU2e7FCgoIekkoU4MKdSMRdxsrmppfALknfcK6lPD2+8l0bbrKu5frFgPNS8s\nUznc9VCniPlcJnhc8mjCSEsYgO/c3goko2f4WmR2knQjvzBJlM9fM0M6J+OzvpO9bURFXQLolJVf\nWGB6PRxkvbRP0fPVBpqLBPrFW2cy8y2L3yXQTsf2c5P3mVKE2puR8EyHAK9/cGMEI2CsKvFR2pMu\nPxKA35iXQ/qLwPd9G78dS9jOP/28ppgO3WMeUXf5QbCLnI1mZ8+XWBBrUv6WmJQLd//BAWKVF2+e\n0uT1vEI0EExaxdgkdqAqbDYNr73/LAfztBx1522qv+wrDmcdp5s5N1dr7q4Pudw042onYnbrxAfv\nOLlY8PdPV/ze+3+Ernf8a9//s/z4/HWumS2vD7d4rz3mc2//Vt56/zq/8KlP8H3L97ESedgv+cTB\nyWg6DCEtwdzMEhCV8rN15XE2cHE5p5RNRRRz7ohHA8e/Ipx8umZ1JzIsEjgs7oJfJlZRfekt2t/0\nCiYo2ljs1ieGkQVXUTBbT2yy2VCZpNFk0dnPLdWlp2oHqktPrM3o2nebiKmE7prj/GXD9S+l4KHN\nLTsG+JmgmdVAey2bbtsIMZXASN6+dCzTK5iUtGt8CYgsLAyqjeKbMtozIkwGZAkmFA+zB+n4/fUK\n+9zAcHeBPrPBzwwrlwrmLauexhnWbZ2DGnOZkFyUXweDbC3VmWF+Imx+4zYdV1OtqWhSpr7ELLAX\nfcwIIZektW0y0VJskY6xAwFS1n3+SwxwNNSpz1L2frUpIJSu0ww5JgmlWk+W1spxSkhKIWlvGdpn\nUoyYu7VlNhs4287GyXS6OOlHbd8Vbn9VPRWRvwH8VuCaiLjMkl4E3v3mv09h9sUrFMryQZM6M9Mg\ntWlW/9USEc5F1tsGWwX8gzkni3mKSHWeVlOypFVBJP2V8rhdW9O1dcrirwLiAqfb2Whbv3d6mECs\nBE+WBR9LVQDZFbvathUaDX/ql34Hf9r8RIoZ0pxvZpTr19b84t0XOXyxYx1qLoaGhetpbAHOmuWs\nZ93We16dEA3bbZ1z6bLW9uaC8GLLi/9zTb/KGfh9ZHvdcviWx7WGrTXoQnj/X/he1MDh131iOqoQ\nIeYctFgZjCrRGawPo4lkfESGSD3EUWzWrBmZPqJNYgO2U9QoN14buPfDFde+ErETD1Ny45eSuKko\nW/Gi2TaON3P8LnnQOXb7yJ+X35nAOLCLKUdJCDakWKchCd8HrxvOjioOP3nG+ivXePii8KXqGV49\neDDWqzqYd5xcLFI+YWdp3q5Ro5ggVOfJfDIe7NszwottZkCSity1Bt9ILv+xY5i2i6kcSwd2iBB0\nlz6pCWTCbFeut2hlsRLcZQqILAGgyZxO+lqJUSpBprGWXLwwGRDDPE02s/uZsb2yTgs6TBb6LM/w\nr1dN7W9pLyLyPSLy10Xki/n9D4rIf/hRDiwitzIzQkTmwD8FfAn4G8AfzF/7Kb7FErbOBZrKM68G\n5vVAU3mO5i0uRzTv6lwn0LG2rLgaqSs/lg8tK0nUdcAed1ycLtj2FZddDSSzrXa7fRqjo1kootSN\np72zpP/FYy5/6Qbda9e4/MINtndXbDdJj4p5Se0qM69U2CvgXF5XziomL9SXWFwctbHjg01y55vI\nVy9uctIlj+Ll0HDeN6z7mnVbc7ltxuxy5xIzLFUOFsuWeFoztI7hpufVPwv9QUrHCA0MC8PBuyEF\nIWYW3t6A23/vjNmp4tqA3Xj8skoJt89UrF9oCI0hzByhMbQ3a9pbdRrYIQ14CRGs/L/MvXmsZdl1\n3vfbwznnzm+qoaurqiexm82hOUqkJZmSJVt25ESRAyeyAwdKHAhKYgkwHCBxDAFRnEiIAwNBZCAI\nktgJ7ECCIVmRIlASJSRRNIEEKYni2HNXV1d1VXW9V2+605n23vlj7X3Ofc0mWWK1hgMUXr377r3n\n3jOsvda3vvV9UsJZjY/DsoJr+IgvyY04e8VLVraSi/7gg1CPJZMituZNLUBrM9JU21ZKFSUZTgp4\n6SZNrf9kA5RUFOmoA3Tt/zTkq6MmUFIN0E1g91M563WOvrokXB9xc18Y2lcmx8yKkivT466ct/sZ\n41uByU0Y3pEsxGfQTGByHXxpMdbhSyMywGPH+py01XUE15WTgJSdOmyZNEH6bCh0Hce+xARhYQcd\nR0jWUubpVkiopnQi++JkXMfUknnZles6m8EIjtZM4Pi9Hne1PCMy2JWf7VmbqAfd7jdD+l+B/wz4\nnwFCCJ9XSv0M8BMPsDXKRusAACAASURBVO9LwD9XShkkMP5sCOHjSqkvA/9SKfUTwGeBf/Z13ylG\nahcUk7xiUcuNv6jyqJIYOnvoTeW9pCNtjYte870jqTh3Oty9giVDLj10dKbu38y6NueTmsaw9/gR\nB6MZs8/n+Ey6d2aucROxB0qvLcuMPHedJIVSIlOb/MJWZX5GBC7LWxqnqSvLZEtA1NKIhVEaWygb\n2+EXIYjSY1IrcNHldXe0ZvvXpxTHHpzDF4bhPSmR7OuO4ycLvDWYWlZUU4mg2b0PbLF1rRTMyChM\n6aQVXwWKo4Z2aKhHhvy0JRhDMxLaQsg0qva4oVxuQSl8oWMQNOQnrczANR5qjy80+VIY194qbBV4\n6JMBl8Pxk5Z6Kiv+3rNtzyPKJPiYWjpMEG/myB5HBUxs6wfTc6CSDhNBBkq7ubg3kSqT7rS3MPi9\nMcurntGhonZDfts+wbc/co2haVi6nFHRsPAatYh3sOye+XctcY3BryxBZ+iFERZ7nNrXueP06ZZ6\n23Lx0420+4Mn+IBJ3cqEG4cgx7WN3UV6XA3knLmBdMx0I4FJ16HrSqa5QMlu6Uq0oPpAl5xIzG7V\nSdLEXae7IAaps5XHg2z3G5BGIYRPq7P1TfvVnnw/Wwjh88AH3+LxV4CP/FHeKx5LFHD7dNZxQlwQ\nOVYbx0DGRc3AthyvhmLEEM0gW2c6OQ4BwAX0LfIWt1fh9geUe5Zx3rCse3XGTjdJsWH+CKfLAdmo\nIdgcN4DiEMxI0dYF7h1r6XTFCkM6g77TY15XeXfCRT7WkPSWnNOM84bTMIrtfdMFIuc1x6cj8qLp\ngpjHCywSAW8/z5g9Z3ntqYKHLbSxk9VM5Ge2bPFGM7veoFzg5LGcfCElwfCuZn0BlpeGXP7NJevz\nA8zax9W7pR2KxK23sLqQSTAL0knLlvHvsSPUDg3NRDO/qnE5oAyza57BkcOuHWrtRQIkgs+uULRj\nTTH3TG842kJhGjh8p2X9zJqd3xwwvu0EfE03ZbwoVCsAsLeqB6mTJVPMenzEbuya2PYOuFx13ydt\n6f+6gfFrGldAfiyuyDeX2+wMVoxNjQ+iLaUzwa58BsuPrFAJy5y0KJcxel1Trwa0o8DgypLypGDw\nhhg63vxu2dmjn3C0Izl2RA0j3UrG2Q4NPlMbpZcQQV0ch+m7hkCJfJ9McAo3kODjMxUlWCKvKb0u\n0Q3yfvGF0NEeNiEQeHuCEdx/l+1AKfVNxFOqlPq3gdtf+yV/slviQLTx5rQbYvpNDDjLKqdx4jnm\nY6aUBMz6A91PW/sQLV5U4OR0zPZgzTAGq5QZJRwqPQ/k9fZLY0wJxTEdtyNbKPIvjGgqYfLmedup\nNbatiUqCEufzXLSJ3HGOPyhoF2J6eTAfo424rmbGc7oeULeGwrbYzFGVOa6NhpiRdOfWBn9QMLph\n0S2MrxuWD5lO1sOuPboSbMJUUo7p1pMvIkbQBsZ3PMVhwK7g7ofHKB84ejqj3rZki4b8pGF1wYJS\njO42rC5oXK5oxpp2aCUoGCXl3K5hfU5THAnYeu4LLe1Q0UwMzdjG0k9z/E2W08cMuoV84TGlgNr5\nUjR+Zq96LvxygSnh6CkrK72mCyoJFMaHDggWfKl/TgJ5VYgdwKSJFCQr6lrhMavqykGSXhD4mzLy\nUzvD2mW87/xtPvTIDapLLatLgfkTThZA48U7cL9g9qpncC8wOIiA/8sTcIry4YZ6J+ALoUfc+UjB\n6PopgxsnFHeXmMrTjgz1zEowqnvAXrvQZ4uaPgCnSi/Q8bN01RNcvVW0Q0070jRDkShpxtKFDCaW\naF71Vt5vEYje/Pg3ut1vhvQjSEfraaXU68A14N974L2/TVuAWIL1B8W9qa6VOldxvBr2krZnBLV6\nHzXoV4XxsGJ+TuOOCl7Mz/Phyze4drrblX8AWjBZ6tqIG4lT5CfCc/EWKUfiRW6AVWlQoz7BVCSB\nLk1VZRjjmd8bM3gtxyjwNqBOLPq1jPLJElu0VI1oHiX1wcWqYDouOS4tOgrOu6OC7Egze4VIBpSV\n33/0hOqzWwSrhc2r2WDoyuq7fKiIPCC5oNs4gmDXAgjnJy07LwROH7HYZY5ygdlrva325LbruDL1\nzOCtoTh1zK9Y5o/B9FU5NqM3AidPWAb3AvOrmuJQUZ6Xuau9LznRdR4psqWoBqSyxLpAOzFUU8nu\ndp9vpQyJk/CwkRXZ3klDVUKS1LWPRMrIR7LEURPJNIDeQmhj2U4dKBXALKWblR8rXvvEY0y+825c\nDB2FcZhRC09WGCeCayaO7ux+VoiK2QJGdzzFoWJ5WaEeq+DVMc1eKxn0UytWRwOe+7sTzj90wv71\nGdjAlU9ohndK3MCK5IqTjKcLQI1M+9tVVAaIgYoNfEgwItUpcrpM0YwEyPdx3i0xuN08Q83qs5LN\niUP1NgShze2+AlIso/6SUmoM6BDC/G39FA+6RXwkSYYqRceNSNumJk0SzJoNS1ZV3pV3iToAESMM\n8j6PXDjketjDtZo/uHWFR3aPaJxhELOrVQS83a0p45c0k3WQAd+4yvosdMJfBJg9mzF/XFNnjqJo\ncF25J4C3vz5mcldS/c62R8dV7yQjnPMsVwWDQXOGfzVfDsgKUbr0hwVh4GlHiuUlzfiWXJTl+cCF\nyYp9s8X++zPyk8DsRhu7MhnZvMEXhnaoGBx7vEpAcS9x6jOw85pmMmLnhZpy17J8yLD3JQlI4mwR\nB3szGXcgSLax80LF5HWLKR2rixk+U4ze8GRLT3EiJV5x6rEr6SzJFrGdoh9Tsa3Drry4rFrpFJnK\n94O+8Vinjlu8TAh5JEjanrOTJHnlsycAPDG6Y2aRBnRbwMb3sqBLOqJn+3+ex+WKk+9YMB2XPH35\nDjeOtykyYXMfL4ZkeUvQsLgK7dSjd2tcaVBrg745QnuYfTlD10DIOPeGQ7eBdrjH+UJx8KHAzb/s\nufqrhXCT1k46ldrSDiQrTf5rCScjMuWTgoIKocfbohNJCmb7H4biUDO4F7G0AVC4ju2/uehr3a1f\nZ4aGH2T7mgFJKfWffpXHAQgh/PcP/hHeni3xj84+Jj8T1kM/8w5AGa2jjfbUrSFm5xFgltcP8yaW\nfNCmLpWt2fdjRpnrXDrcs1MGa0UzlYwiW8bAFjV3uk2BA7ITjdszqEKE2pMWjnlxRH4qT9Vt3yVS\nTn5vzlXdxZEZ13XOUrk4GtS0ecu8NqiFYXJDkx9LBuAKCQxvHE+xNUxv+E4cX0oaT72VsT5nyZaS\n1rtMgVYy/7SWFbc4DcLAbgO6cmQLzfbLnvxgiZsUlOcL2qEmP3GgIZ9LR6cdyRVsV5KN5UvP6pxI\nWti1j3jLRjDLDe1QR71nGWWxlcc4J5mLlxtSMh3Bs4JWHekyZTIBwfnakem7bi5ZTgeSAFy6NJQD\ndOgsprtOViRNeqXAgF0lGoG8TjSIAuPfmWBPx9zJ9jj9aIudNPyNd/8+v3z9PQC4f+sQU+W4Srps\nen+AXSiyOeRzaflX26L6WO5oBsfC0A4jRXEkQH+5TSdJkqyfMudZ79m4iPVZot74vyklaKeM2Cdm\n+0AUOrdeVBx+sGW4b9Ah4JQiG/REWu+EfZ5Ituk+SV3gB92+XoY0jT/fCXwL8Evx9+8DPv3Ae38b\ntz746I5381biWAm41lr8yUaZkLx82LBzie9nYrB6bHaPsrUsy5z1suDV411OTkac3trDrgV81SYK\nW0WZBlP2ovWbKzAhpsTDgCsNa50zGZfktmW+GIrnfQakDs/GDVF+cIW6MZQb6HJJ1QjjN8mJKBVY\nrArp3N3NyE9i9uRlJScEZtdg/u5A/cyKO09anvpfaspzgyiO78mPpd2fRLlMLavp6pyUN4fPeJ7+\nyWssvvUxYWTXjvxYsBo/yAhaURw2qK2MYBTzK4ata43wWe7VuEIY19mypR5rZq81cYVXEMux1DWy\nSyfBSUG1ndEWGrOWm7BjaieBNiV0At30s214yZyCoZPkEOIhtJmOxMA4emF63EX72MxSUuLqlq67\nJZPxQWbR4j/dSvYoT5H91DOFWQd2f88yPNT8zP63Uzy8pKkts6lMFhjrqE8KjA1kS0WR/NKsZDnV\ntiI/Dd2MXTtSeCvCeQcfcWx9KfrtxWBOEKlZV8joSDNJXUPB7+xaOinZPNJNjMK2HpfpaKLpGRxp\nLv521FGKx2sV+sHhNM2wuSVO3duxfc2AFEL4hwBKqd8CPpRKNaXUfwX88tv2Kd6mLZVsqSTbBNzS\nllwgQlBUje1u6hCUAOMqUHvTde0ujBeYdDJ0IB80HN3cIjsRqVxvA+7JkhCgmRbsfEnhY5s1RMA7\nTZmnFThbBpZ5oHg9w72j7WyJ5APGAJZasRupsLGOJg+MbmvKK0EY2JEtOx7J8Ke1nt3xiltmJtnM\nUaAdSqbQTBTLD6zxCyFM6szx8l8f8+gnatIMk0KRn7YsL2Wim2MVy4vSGt96peXC//45lt/zflFX\nNBplNT4XgLyd5eT3SspLI+zKcfiugvEbjsOnc5oJDA4t+WmIxD/N+HbTKUOKlZGn2jFix1N6YXLn\nchxET1sTrMJF0qJqY+s7dY+I4nCRiZxIjir0uFAqo2lTZoR0/9LikdxLYpwztTyegpUKUqptDuUm\nhjfIY0lMPy1E9UQze1kx+uSYclux+E7fZRn+1DC8K+17V0jgKM9BeO8c7xWn8wK1MuhWsjnVwOqx\nBntsqXZhcKwI2vRjIBvfK2iop4rCJRkSCTTtOGovtb4T7hfQSjJNu6aT+jX1phyz7+zFel/DfhLi\n7djuF9S+CGxKgNTxsT8zWyL/gQSbPE4gO6fJs7YzYjzj+LDx/xDo5sFApvtz67DKoQnMBiVVO2Y6\nqqjHGcOH5zw0nXN7PqVc58z+nxF2HYQj4yI20XVt+hVEujeK7ERTb3vyF0ccPe27E2vK0N88nWCY\n/KyOBkxeF/9673p7awWs1yJl0dSWWwfbuLFD15b1BcXyEUnPVa2wuaMuLWrYkhct+ZPHuN+YYFdO\nRPOd0ABcLszpwWHL/JGc0e1AM9ac/EcfZna9xSN/94XpnE3Rivr8EN0G9j9QiCxqrhjte5qVAM7r\n85qtV1vR6il0DBZa5uRaGN+SEqSZWHQbKHctbdG70iYNWrvylHuWfC6jI2nzmepEzDrGNZxxIEnH\ns6t9Vcp2+oUrrWEpQMkv4HXUFzJ98Elb6soJsTG227W8RjeBeio61oPfG1N9ZEEIkJ9o7ALcUPa/\n/tYFRSHWR8Z4BucXUfpGU60z0apSYoU+vGtpxgpTQua7FUUoDJV41WUrWVTKXUV+CraM39+BUjpK\n7vjObCEN7+ogzG3lormAkgF0owLNBubZ2zf9yXbZ/gXwaaXUL8Tf/xoyif9nZks4UdOkwNO71zat\nectsKYukwqQU8GYM6txoSW4cY1tRtpbHdo6oWou94Kgay+35VDKrz48ZHgquIa4OojuTLaSDozvF\nQmSFrmG4r9CtQddQb9DuT5+QDlRakWWqPn1gAcebKSgTOj6T90rkQ+gRsvzIsLokpYWda3wWsI8s\nqe+MGN02aJexetjjL60YP7dP+fheFwhcoVEe1nuadqAZ3QkcvQd2vqzI5tJZE2F8y+gNTzVTbL/S\n0A51p988ueVjd8xz/A6LXQbG9zzlnmG9YxhXoQsE+XErYyeNhzYOMp824lJSekwlygJtIS3poKVM\nbguFywzDe/2YimqlQ2Ti+yc1gATwBkPUEaJr93cT7qnUS1vMbr3d0MrSck5dHgNf/A6br0u8pmB7\nXpSO2tQJhDdfnOCfmRPeN2flhZ7RnOZYr1mvClyteeqRN7h2d68b/8mKttNOynYq2mFE16eg7srI\nicwN9kizcogqaqZpJhKw7Tp0w7lSfkZipVZdt3G9q2mHYgiQvTLEZwH32JrlOifPZSqirLMzGVJ4\nGxjb99tl+8moVfSx+NDfDiF89oH3/nZtSsoXpUKnitjUFm08u9NlV5JVje0siNLmoptr4iyBnMvG\nGRF4V4Gbbpv37t7mU7ce6wwB61ZU/qp1xuUvt92NmC8DTZBUuZ6JIp+pZMXqPNbj0GYwUbj+5hC7\nUFR7nul7jlCv7HRBKCi5sdqhYvJczskzDarWhLWFYSvf5Uw/VrI9VwgoG4DiULF4ukF7xfazmuLY\nc/B9JTYeq3B4RPvuC9i1o9wzHD+pufBZ+U6nVy3tCIp7sLooowTBitpg0NCM5WKsD0yXySSX1Hwu\nN8T2SzKEe/wOw/BuYHFZMTiW8iGbiwOJqWWVPnimYHrTMTiQToCN4GsztWQrTzCw3jHce49oA5la\nMhUfMSEpW3oQ/K0wPAk8qiMOpi5iykZTOZaCEfT2SCFEXo8KXaalW5kScLkELY2oMibeUzfiQdxH\nEN0td3vcfazxTQ0fWnJhZ87+yYRve+JlPnntCVlgXN89tpnrFs/63StqIDjFwitmvz+gOOpLTuXA\nNPLZx3e8KBtoae+3I9FMLw5DNy+YwO9mLNdufhrI557zn5OM/2g1onn3irqmK9naVhpAJk5EPOh2\nXwFJKfUIcIBM5HePhRBee+BP8DZswWmyZ0e4QcA9viaJ7j+6d8Sd+RQTAew0GJva7J0wVtRAUqZP\nQ71XYq44gK285YWTC/igWNdZl546pxh8eYjycag1drF0K6toM0n1gNQGm9KjPoPqgsNct2SniuIY\nBgea+s4uIx/6jErTAaumCtgjS7vXyGf1aVA3up9CF6D8hRo/z7AnmvUHVwwyJ95139KgjOfSLw5o\nRoqDb/Zw8XxHkgxKsfVyFPgaKmnBl6KHoxuZHNcN+FykgCc3BUReXjSYMrB6SDHcj924Ex8dZGVs\nYetlh88Ug0PJJAdHvnOzSFP22y+1oo44NgJgRxF/U3kh70U9aJ/LtH4SctONZCA6tUo37o0kyJZ4\nRZulW2I1J4eOlGaenRM7+35AR5jc3Id2fcYlD9Jlaek57QiqbeEumVqxPh8Y3JPrRhxtTgC4u57K\nnFukswwHDXVjyazj3HTJwXxM28SSyUhwXH3bgvBJ0Y3XLqAb1SkiqCB4kLfxeNZyfYpHm5R66XiK\nbpIsqsMD+fymDuy8AOXdISdPQri8FjIw9GTiP0H5kV/eOMxD4HHgeeA9D/wJvsqmlPrXgJ9CuIT/\nNITwj77ac+1cMbkhUqiLR6V8ISiu7e9SFC06KOpWbtguvYwYUhof0bHzluCC3Iqm0L3lCE2U9Yi2\nQcm91nvdr9BxhfFWUmfl5AKtp7IauQEkzR3liNmDXDC5XIMUp558rhJM0uEBQQfqbcXkZuB4IIHz\n0csH3Li7i3eKzAoC670mxLk2TIDtGr8tQP7WeM3B8YTZF3Jm1x3Ke5RXhKHjuR/Z45FPeNbnMxZX\nFIN7AbsWYLax0navt2F0J4gtklSKzF713c1MkIBsml7gLGgtw7FBSqZ+1Q0dEB2UFkH/XHdYTT0z\n5KcuBjPVafVkC4epNbrVFCdw/KRmej30qgJNdCDpSfPRVaTnUsnJ7/+epEg2uUshguzSqFN95hQD\nlN+87xLc12y8fyJUsjG0a2W2rB0G3Mhj3zAEBYNDyaZGdwJt5jiphvyFh17k51/8wJkZsaq27ExX\nlHXGUST3CjAuWW4KDsuPrgh3Bwzuaob7gWoiWuYmirN1fLb4mdtRFNoLMbtriWYIimJ+NkArJ3pK\n02uaVTWkHQUmN+T6OHnSM7zz4OD2/ZZsz2z+rpT6EPB3HnjvX2WLA7f/I6IAcBP4jFLql0IIX37L\n53vJHvJTmH1qSDuEejtgnz7tBmnle2yWZXJFeq9jOhzIreP8aMnhWnSoR0XNus64M5920qTyGoV+\nYcz0dUlpO7avloDTDGWltqvQ+dHXWyJvMdyX9+jKBSNdt3bQg6+gOm8xFaDakezEZYrL/1/g1ndk\nXNd7PPLQITcPtnvh/vSdYnqlkM7I7mwlWSGw80JDUCLAVm0Z9KmlONAcPWUYHniG+/KZBQ8K3WdU\nTlxNTQI9W7nJsrVoLHea5C20E7HRSTdywlGyZaCe9NyeLAGnQW+MYwSoIAn0Kx8gHof0mMzJBSY3\nFIsriu2XJQv1Ef9Ayfu4THfHuct0UtKqEj7Xl15pAVDQlW0qAd6mP28pyyU+r+PyxC0pNXY3f/zp\nCslaxjdNF8jbXBakw29peGJHVqafe/6DvbSH8bjW4FrD6WrQabtLmSSzk1nentHwVhdKyjBgcKAo\njmOwSXZI8TIJcWi6ngFKoavIscpkpm94z3cUh00ulqkCw0PP5HY8bsERNExviHHlc291g/4Rtm9I\nDymE8AdKqY8+4L6/1vYR4KXIEEcp9S+B7wfeMiBBvJCi1osqFLqSk7MZjN5c4vYBRtMCxhnurcWp\nZJQ1XB4f88Zq1qs8xlXJfmHCcF9Welv17d2gFatzuitFILJhbdTsHspNrEOfVQjGJIEtyWCkLoiJ\nlP/iOBItg6TV538PDv91x427O2Lh/ea2a1BkeUvbCH1hXWedvdLBezPUnzumXOdMJ3PMF3cp31my\nXljcwDI4CLRjxfDAS3lkwA0FC2tHwFr1ALIXjktqi/t4I+q6B08TCTFoGfpM56naVphGk8W5NOUD\nbmhoc9VN/4uCowSbNO7QmUCihBh4Q1FuK4oT2XfvMhIdR5LI/ybin7Kj/j+bhy4O47LRfeuxJZVk\no1PGFehwovR6U8s/H8dMXCHHztTyHG8kGOhKgvLp0y35tOaxySG/+9rjXRaeuldJyK9pDJ0MbuQD\n9Z0uRBs9fj11sWR1NGJyQzSfNrPD9B2VCxRHcn5BsKNNcmgyC6gnUiprJ/igN0IZ68Te4ibUiwfb\n7hdD2mRsa+BDwK0H3vtX3y4DNzZ+vwmcCYBKqR8GfhggH20LmZDUbo/4TJVFi2L522aHLU0vJwJl\nYR2zQYlVnkWT47ym9YatYs2d+TTCQAH18pjhQSCP3ulJkxjkoh0ch05xMDGts5VwgdpxbI+7gK4C\nZqkZHEhQ68qEoLpuUJK8cIXqLGpAbvidXx1x76+UTMdlVICM3y1eba7VnWTEusxkpfewfmaNvz2h\nOLem+a09OCfdOr3WVO9bUWtPuD7m5CM1O79bkM9DJNil4dhAPZNu2uw1jylFXVJ5yQDiycHFFnjK\nPNqh3ITJHXZy25EftzRTi2oVxJIrW7TUW7YjQLpCR8xKOlR24fCF7ibTs6Xsx1tilwlcHLlJ+kYq\n9O6tPnGYXOh1wTfKt25EJNEtAkLRScTIFKw2gXKVQPC0z/65eJkHW76jAR0wR5bMC7+qmYls7fDc\nio9euc6nXn+0WzhTsJHzJkYMifyasqdkt21M29so0cfX+qk1R9MBozuyINpSFshsLa/PVpJ1p1k+\nV4i1tm7BRAJpM9Ksz2u8Ffywk3bxEnRVoFOe3KRNfKPb/WZI043/twim9PMPvPcH2DYlbCe7V0Mn\nORokLbYLDedk+NTa2N5vk8xIL9aWNqM9e4Ml98pxf0K9YV6L2aP3GvvSkMGBiop7oQc7VSwnsn4F\nFGmLOO4xFAxDV/HxWm6U4kgxOBbZjFQKuUyYwiFsgOEqden698/nnvFnhhw/VmAurjcu4F5vyXsh\nTRKUWH4f5Vx4xz3UXuCNl8/RPOzxs5bBS0OqXYfyCoUmXC6h1cz/wopi0LB+ecbWi4rFVWh2PHqn\nwq0t8ycMdmnZfq4PCugQR2UU5TlFcUjnuNoOwSJAqgqK9RM5xakg93blIvAsLPegxYJH12Krnc17\ncX8Q7oxXGnTAVhslFDEwmYTp9cElPUdFxUW1AWJv4kSqj1H9LFh/v5/t2inhGREbEOKm+6bnKpg+\nm/X7QPAkNwgMb2uqC5bdbIkxfoO2snFxRuWGM8Oskd8WgqKqso68CD0coTSoy2vmuxa1NIxeNygn\nrXwTg1MSbkuD1KioIBlCHGwWVQaXC50iwRLOS7ZrUjCKipsPut1vQPpyCOHnNh9QSv07wM99lec/\n6PY6cHXj968pZZtWpmLu4TSqCZaKe7MB7JaAiQqRrptTk+8Q6/Q4y7a/nsjvkfy1aAqWTY41Drey\njI5VNNHrJUTT6EE91tx7v1w4u1+Sz1TNIuejk7eAdgB2SS8rGoLwWSJGolsot0X7R3lQtacd6fg3\nyaSMl9Vs8rqj3NNwKTAoGtZl1qv5eYUKQnEIiHW28orDkzHNcUFxYcW5nx1hSs3RO8EuDO3hEDcI\nqMeXFJOS77n6PIVu+YR5FycPD6W1u8gxLw9hFCToq8D+n28pbtuY0Un7W40kM1hfkHORuk/NKHQt\n6eJEpGgTEzvNX+naU+1m6DpQ7djOEsgVitV5w/gNhx+K5IapPF5BMxRRt9Q5SxP/uu1vFMGHQjcy\nkjKhLkOKi1riJL15xU/BJb1fV9aZOAgdmxbQ41DpdSJyp7oFTDdgV+Jf5/OWG+sdyrUw6M9AC127\nlTOk3kSI/YrFNYR+2DU+PxvX5DuO5qKhWWe01woG+8LcH94TATghRcpb6MrJYLPqs5+UubtCdQC+\nOJtE5c5cde66D7LdLyz+D+7zsbdr+wzwpFLqcaVUDvxN+jm6t9zE313+n4LF6KalOS262TWrPbl1\nmAhi69SRitu6EcNEHxRGBRa1WGg3Tqaxk8NnKgWCjuS8OGG99aLC7TYcvkc+Q8p60lyVrnu9nbvf\n3pItYjeuCdGhVS6M4aHr/dsR0DPNJCVMSjfSin3k10vqec7q+W1J6eN30TrIHFy8KLUOqPMylm7n\nhqay3P42xdFTFpfDuS82DA6gOddg/1Dkdj/+0nv5V899kNPFkKvnj/gr3/Qs5x86odmR7lp1pebS\nt97i3Cct1aUWHTESN/G0wyBjHwHKc5IdtaPIpHZQnDqKE0cz0WSLlnZkcIXI2jYTK3NWpWN4t8GU\nDm8V1czQjBXrXdORGxMzuzgVhUnpxEk5zaZOdsROfMSiUjBKi0XHP9rIpLpzR589pcdcIRlxOvc6\n2gwlnEn5ftFJ+JeI3wAAIABJREFUfzNV6DSdsoX8P18G2sZwWg8YDBPZ6U3ZUfzZa8GHjtqS9Nnf\nHJi0DlF/qQ9QIYDOHf7dC8oLAlybOl57Ve/3lsowH8d6XK46DhMI5uS6kR7JsvKl/wpw/xvZvt60\n//cCfxW4rJT6Jxt/mvGAipFfawshtEqpHwV+DWn7/28hhC991c/pYfyGyDq4ge7IavkprFqZuxkW\ncrJz62icpnWG3Ip0bZG1rOuMYVZyWhaM8watArUzrOpMfNdTWh4vao1gOquLmtEbnnpLSo3BjRw8\nlLtIhyOl+hFnUAHKPQVZ6IDqpOTXOXQQMZG1vN4NYzCLM1S27P25mqnl0Z+HWx+D5jTnoUfvcbIc\nCmu9tt3QsNae4Az+5gh1ZY15bcjsxYQpeO5+MGP3Ocfx+xXug3NIIH7cXj/YZn8+wTnN1tUT5i9t\nc+VfKXR9jvAYvOsfH/LSP5zA9RHTFw2ry5LN2ZVYNKdzki1jVhRAtZ5sqTq1STc05KcNunIEm9OM\nhTAZlJxXkPdCiUbS4NjJPJtR+FyypdUFS3HiYzD3KKO61n8q4VJJDalsixlcupnbdM4CIXY8cX0L\nP0RXDx/lcKU0D/H8xfIvCe5vXKMqZiAhBkFTCUfItZqnZndxQXOj3u74cGfvifRT9cFIpSl7zmT9\n6Xfhp0XMR8l4VQgSuNZXanjOYkrflaBJz9znumPrp2xRJTA8jcZEy20ViPZVbwrk3+D29Uq2W8Dv\nAf8mYmudtjnw9x589199CyH8CvAr9/NcFUKn6WIqKdSNARYwvG2ptwQ7GuYNdWsZZC2Nluwoty1l\nY7k0O+W4HGJ0vwptFSU311toHTBz3Z2UYOD0imbrmmf0hmf5sGZ8W7pS2VxWw/kTnnYs4O/gILXA\nZfTi5CkYvpxjKifWNxVdGdHZR9sUAXuOi64CPlr3JPcNHTk8D/9OS35Uc+N7LjLcD6zPK5pLrQCp\n0wbvDDZrcZfXbM9WHMxyTr/JwBNL2v0huvbc+k6Fyh1NJSJvnRU5ciNUZUYAmtry0HvucvuKBKj8\nWcUrf+si098InDwJi0c9fuyYvWwpdxXTG3KzukJhq4QOyyybtwo30mgnEiQu04Shpp5omrHCrnWX\nJCTHjmpHjrO6B4vLGeM7rRAjcy00jI3j0w3GZoqTb9LkJ7JQJYldIGpmR4azpqMPSJNhwx5IC/aT\n3G/TrKFuQicPkzhO3tAN4W4GO+VAb8zeVVsaX1o+/uVn+M+/+df4qcPvxjm1Ie8Reo+3SOXYnI2E\nZO8l9JUESaSs2Jj0mHyINFxOK2M57VA6nURKBeleSlBVJgRZPNTTqP2UFlG7AbgFGBz/MTvXhhA+\nB3xOKfXTG+aNf/a2BFBqQMVyxvT8kKRrpIBh1nRlmotSttvDkrLNmBZS0lSt5Xg1ZFTUWONpWkN4\nZE21HlEcKYIJDO8KEVNFPk4qGYORVXywrynftcavLMO7thM4MzVMXpNSQvClDWDVJYRcgFlXSH2e\nn0iwcgNpiTczma5XrciZJn2h46dGPPKJuWRhFwYsL1jmjymyFzMGh8IxOXqf516rKfYt1ZWa7NoY\n8+hacAmnuhQfuo/Fxv2Ev1eQH2lu7xdsPXHE0d0ppgQbS9HhXYVdKdYXFYtHJDjf/UjArjSzl2Xs\nQwUYHvQXrwqweNhglyLOVm3pvkOHrMTlju7GONqBBIxwG6Y3m04ZspppspXYIxVzWd61E9a4aQLT\n64JpCfYTz9cglW/qTKdMLpyeZNnjRpGaYemCkIqgeOL6bGJP7UhFU8YYsOKBTfCCbgOP/iK89jfg\nifwu25MVdWtYlcWZTtuZg0WPfyYXEKDDD3WkeBjtOjXUZHZa15b6pOD8Jw1Beezax1GmgGminlQU\nu1vvWhLHzkccKRhEoaHteV9irLmJ9H/j29cr2X42hPADwGfVW6h4hxDe97Z8igfdNlcgn3SIpLYf\n7AfKizmjSw2FaVnUBSaSJY32jDLJox0SiHxQrKNwW91amtbQtposWmuvHg6MXpeL2OeiwLj1gtTR\n3ipGd+RzZHNYe4WqtXSYBgIG+ugCKmCm3BSbVtIQp8m1BCw3UKwvKPIlFEetWBMpRTPR2JWUI+We\njSs6zB8fk586uZiA4RswvdVSHDWoxjO8N2B+dcDiUY8uHO6q63En+9UvqgBi1bRvUA5GryuaW3vM\nasGHyouerecEWxgcBPITxfnPVqweypj+esmL/35BO7RUOxKkFpctbiQzcdU5h13Gkue6pP/ZKnQa\n16b0zCI36fgJ4Xe4fIOQGKPm6KCl3DHki97/zUW+VOpwpZJvs/O2OdN2ZvpfCQ7kNg0coRPC1zW9\n11kE9FNXL5XqKfAIQTQGr1jeCD9I0YwNF37d8PfGP8CPP/NxfuqVv0hZZxsSOj2HLtFUUlYEsNlh\nBdW75mhP21imw4q6NQI9AHufsWgXqKeaYellqFkrYTJEYqnPFNlKKB1dwyWJ9NV911cMAmQ0qJn8\n8Y+O/N3489944D39MW9nSu5AN7vkM8XkyilGebQKFEakM5Js7brJyIysJEZ7Cu1ZN3JYxnlN3ZpO\nhN+uYXAgejWDe1KaDB6ZE16aAQkklSvHlmDeKBjfFBVEHwcvVSU3RRazI7l4BWiVWSxhPhennnqq\naSZKxPCr6ATrA/Orhu2XG/AwPKw4fM9IWrnRQWNxxTLad10Zk80d3mqUVqz3NOVuwI+dlKcRJNik\nCxjrOgPMdGATHjGYS4Yy3A8REI03+lKzvCqdmvUFuagPny5wA2jGI5STIFEcCoGxmYKJ4nbTl0zE\n1iCYQD2WgF9vaXafawRHGxhM6dh+qebuhwuS5TXQ8b5QEsiqmTC0i9MEtCpcZE4nW6DU5g5edczq\nTtA/ddq0wiMlmxv1U/yJJrC5RHfNsA1gXIWN+biEPbV040VJrVJmy2B1b8Qj9pC/efX32TJLfmn/\nA3zx9qU37YBOPDC51mzmCqlMO2PN5bS45DjN6DMjEWojaYnHjqwTieA3l7rJATekSBGPcxs1vNeX\nNdPXPEFriuMHL6K+XsmWnEX+Tgjh72/+TSn13wF//ytf9aewKQhWo1q/wcqVMqeZwvagomwzXFwK\nG2fEsDEoMu07HaR1VdDGMYzpsORwNRQLpTb5icmFOziAk3c6zLmK3DoSDynxMVDS8m7P19gXc5GB\nVYI/2PVG6g4C5nZjI/JQMfe4QnH6mAy17X2pjWm1CNNPXpeuk65FoGx6o8UuW/nO0Zo6vVc1M4Jr\nxZbs+pyivtBgxpIZmsjRSoORSvtuFCXAmbvOO836I0vUSyMOPhgwa8X2C5AvxJUkKCExtuNYth4G\n1nsixaq2atrRkPxUvmeWVNmVEASJN/jiEfC5pzjQnP9cw/qcpTh1sRwW8Hn3+TZ2OVWvHUUvKmbX\ngTsfC5iVxi6FZW7XolSQhoNdrjoQGnoSairbtAOv+mCi2sgP28hyOhXJyMHSTrInl/UMce2AONcI\ngjeZhjM4jQrCP7vwO5YfOveD/NA7f5ePDV/lkYcPmV4p+aHP/yCrMt+gqQTq2naAdvqZNJSSA0/C\nkbSCQdayuDciPwk92xwJLBbd4WBEUu7m9Zg+dzNWUup6Ibjalcggg5TELn9wVPt+3+F73uKx733g\nvb+Nm2o3jl7ouwKrqy0+KFqvqVrblWVpc6F3D1EqiCRHUNw5nnY+aXVtKE8L3BDWFwLLjy3Q5yom\nY5GRNVXosIrEFbr77Y7hKwXNSEqGNEEtk/txdVZKOEYqjlVERrGpRPT+3Bda3CB0tIBqR/SSB4dN\nbG8Ld8cuWzmTsTwRBUSxVz5+UnP0zoJqJ6OZWNaXW/RYIqKCaMXkZTzB+K5drI3vlQLTMVZBRlLG\ngVB43EM1B9/suPshxeJh6cpUO/LcbCnnoDjxaAfbvzWgmYWu++QKCe7tANaXW9z7FtQzL8aEK0W1\nGxi9eiJC9ivfEydjcJCyK2E2ojbQjBRH75IgtftZzeiW2Aotnq5ZPRRwAyh3Y5u+CV0DoSMypgzH\nCMaXTBMTDNCB057e3SRI+ShMZynLOmul+DwTMzJTx4woYi/9P/l9+bDi3D8b8U//j7/KD3zhP+RO\nu8WL9UU+dvll3vXQG/JZdcDG0tpFc1PR/RKendGeImsF+4w27nVrZHxo6Kh2VOfflrAvn6Upfx9L\nzdiZzPqgH4yScZcGzDp0eGkbZV46VdQH3L5mQFJK/SdKqS8A71RKfX7j3zXg8w+++7dv6+garr8Y\ndCtgZabFMDEFnk397C47akT7aDYoeWg6jyaNYnntbo8Yvprj8oDPZdXZ3VrK8O3+qFv9oMc18gPD\n8I04R6RFe6YfLZAA1A76shI2wNBYFvhMXpfeN597wZC06so3V4jSX+c4mswYByYOrsLqUuD2t2pu\nfpdGjcWhNg0UJ2ZwshdPm5Ru/swImM0c1njUQ6U4oVRaCHMBmjFUuzEDrGF1UVFtKZYPyyU2OA40\ney3NOALCQTC4bAX5Ton54oSw26C8wlQKnwdoHbYKlDu2O67tyFDumO67JsG20YFwanaelQ6jK0S1\nYOezlvO/nXXHNZ9DtSt60ymT1G3MWmKZoqP8rHahU4z0ll53O2VN4Su5RrZMIzJyLDbb/x0Rkx5L\n9EYswlcXFeNbgWpmGN0OuI/v8WOf+Wtcze7xbdOX+J7zX+ZDl2928rHduYqjJlZLZhQgyjKLAGGR\ntYIlRa+++Xtqlpdjxr4xACzXqO686gT/Ch1FIplVpBGRpB9lyx7Q/pNo+/8M8KvAfwv8FxuPz0MI\nhw+++7d3E8asJlgZ1zh6TyCYwMF8zIXZAoDCtKzbrMuSknj5IGsZRNnb02ZAXUUOz90B+YmUIlmr\nZKrdK8Z5TeMMO58zHX+jiUOK994fuPAZkR5pxnLjCUgtq2kzFgwhWdCkLkwKTiqmzO1QAmc9FVvr\ndihcGzfQwh9pQzcg2q20VkTtU4etOt+iWoU5V53JdGScRHChdIEnK3EZ6uRNk+R0nvVZ5mh2amlJ\nV4ZmqMhPcoKXLGH1aMvwdYs3sHxPRXkuZ/s52P7DjPJcdIjN5KYNCvLPTOQCP846jELXiubCFLt0\nGKtww9R5E95UuinW54VyAf3NPjwItAM6OyC7Dux+CZaX5DWDfcnUmrFgIymABEWnCunyXr+KDUKs\npsea5MDHH5puIdzcOoCbCBYnqkAsoZuRotpRjO6m60CwQFdoLv1izi+++8N8YPwaHxhc57XRHl+w\nlzovvh7fC2dsv5T2FMZTNRZw1K1FKWiPc/JDCXjKpesPsnU6fnFWTUO2Ei2rLE4adMzsYQy8cSi8\no0skueYH3L5mTAshnIQQXg0h/LshhOvAOp6CSRRt+7OxRU6EzzTrc0bS97Fi+opmcMtSlRmrJqMw\nUqps1tibIm2n5YDj9YBlKWmJAop9LXhHXA2bmccYsa8+XAiYLKul/FyfV+x9TlT5lIPBPZmozk/p\npEg6PeZ4MvsVOJYKcTIeRC9HxWxJBenMJftjADS0Y8viSk69bWmHmmakyRee83/o0KVG79Vyn8ey\nzFgf3SMkM9ok0FnrzpQF3qs4CwhNY2P3RwJVAEzhsIOWZhyodwLVnkcNW8oLjuNnPHu/lROurpk/\nLuVbO5LSKWlOi9RvlGkZeHwWaCaBR36txo2slKtNwKx9Z/eTyHrLC4bJ68lCu7/5TR0YHAvxNJ+H\nPtB7GO57yj1FtStjPaYKMRuVw5kCUAKuoT9fX43BnXAliN8pk85jYn+7rJcj2eQ+tQPF4lEY3Y1s\n6Q0nXVPB4KDhMwePMlANZci4Xc6iw3E//pTlbacOkBaOAGKzHtv/zkmmP3zdMrotJVYzFjqCafoJ\ngfS9klJCArY34YgO+O9XN7kM6433eIDtvpIspdT3KaVeBK4Bvwm8imROfzY2hXQLrKyCy8vC98mW\ngeIYglOsqjy6iUgQSviIiSMlAAlndE4LH0f7KGwVJ5sjGD0aVCyqnHKZd/V4G73AhvvSQbMb3BOz\nDmTzgNkEtIOAn0FJJpRKEm9jUEqKAZXMeSVJDR191IJRYvxnhVU7OHKU25rlRS1aRpGw50eCFmvt\nGQ/rzrpbbxBAU1aUujPJXhzoMIq0JRBVa987uAD1ngDP2VxjbhfoWpEdaVYXFdPfHdE8UXLwIXj4\ndx3ZKYze8Exf84xvSVkrXS7hMLmLNcOX9sX3zck+UhmVylvtAsVp6L6ndlDuqM6pdfNGUkGC1OgN\n8a/P54Hx655mKnbRooGeRlEQwmPoQed0jZGypTfNv3V6QRvPTRhLMHQs/wR0CydNhPuKw4gxNiGW\noCL1Uc8UpmzZLtY8mQuL++WTczinujEQoPPz2zRJVUjjJreOw9ORnMO1xZbpMweyVVSr2FTY3AhK\nqYmg215JEkW8hmMga/sFwucbfngPsN3vO/wE8OeAF0IIjwN/EfjUA+/97dpSt8KJ3xkkc8LIgF5b\nuZFUoGz7eTWtxMEBpAYf503UDULGJhLmZCUo2XVg6znDYjXAeU32WiEBp/bYymNLKSdEWS90zg95\nNI00jSgxCuNXpt59ZPO6XMmJNyKOlngqvkiky34aW7fS0fCZjpmhwqydiGoFWFwWbOX2nzeYmQQh\na4V7ZY2PwSRsWEJ1Cx1WC6jftlHwKw7qAl0Wtel5l8q4vT8w5McqzmxFve0t3wUMe22AKRWnV20X\nXBN+o9qUOQbqWWDyhYLlu8TUxhtxq5XS1okaQAzKySLa5SqqL/bHuZ4q5ldj59D1N5puQyydhTWf\nRPSUD9QzCRLVjpBQE86TMrAQO2ntGJIqZFB9luTzBFinoCOZiI/ZVVsIJthMZB/eSsaW3FlAnldu\na7JloDw/YGAbbrVbzHQpwPSGQWPavJeS2xjPKI5Ita1h/3BGs85o3hgyeT7HrHv5F9mZXLtdE8jq\nqDslAaYt5J92AjV06pLxtSn6pRlPXT94hnS/0/5NCOGeUkorpXQI4TeUUv/DN7pTpdR/gwiueeAu\n8B+EEG4pscT9KWR+bhUf/4P7ec+gFfVU0w4RjWIlaoYqKMxS02wbyrb3YEu8I6MC46zuhm1HWc1i\nVdAsclSlMUNE5KprCwfqVUa4NmZ6A4q563gbqvVn2rkE3cnbZitRklQuEAqFi10cUwWIrGRXgG76\nyfh2IPo0SUMpGEU9ETzJVDJMevCMZe/ZlnZsCBpG+57tF1tOH8u7tnTChrxX6E43vL+o03c32gt7\nPWqGB9/b3KTnbzqVGtPb33jbS9ouH9a0E/AjR72lyZay0uoG6i0ojuJ+Y3mh4/c3C02wgdl1sdFW\nXpQtXa67VrWpJOCHsZEyIS46iUGtgkhm2HVgfU6x3lNkS9VnKKnN74jDyhC0ZFr5adShqnuhPL8B\nwG9iJO1ABNeCouPoCM4i5bldRx2pRs6fi1mXclBt9YB3O5IsLZuLRrluQqfrNL9i+O7JHepgeKG+\nGN1xYuB6k8OH0T6ORhmWq0I0lOYZxb6RoWcvHK1O7ylmQEEJO9/FQdqgoyhfLgvGplCdN8LIF50v\nRatFqE358BWW5N/odr8Z0rFSagL8FvDTSqmfApYPsN9/HEJ4XwjhA8DHgf8yPv69wJPx3w8D/9P9\nvFnQimasmT+iufhpz84LrltBTS1jHG1tWVUivOYixd5ESn3tZdZtYBqaaBJpTgy6FA5LvpT3Sf/s\nfo4rAuU51afxcRUWLkz8p6Eea9a7WsZMggCCqXTzeZoajzpIsZxLQU0E2OlxpbgCN2NFtWU4esoy\ne1Vu2DYOn5pS9IO2rlWc+1zAt5tyK/TzaTGwyOiBonWaurW0USs8lQH9QVZRKEw0luo6deccSnua\nmcyprc9r7BoB0o9tF0jsOqoWOJkWL/f60tTH0sYuNdlcs/WZW1RbBp9rlpfyvuUexxSkTJJjlLo9\nSRYm4W+6iTrVI8XRu6Td3w761nQ3MBq7R+lm2hyUlexOAO9sIefOxW5piBrZbhjLTS/ldbbs6R2m\nlM8FPYjtCiWY4jxgl0E6fzEQKt/vN18ETp4MfHD0Kv/v6bv5+MH7qaqsz4xiMyZ12ZzXrKItkVaB\n4BTDmxa7VN17BhUdYdoQF8qYqee6UziV60+oCqjEJpf/J7C/y+xVT2Fgw8XlQbb7zZC+HyiRgdq/\nBWwB//U3utMQwunGr2P6nsX3A/8iiJ/Kp5RS20qpSxsEzbd+PwWr85rtl1x3ASSSXCLAKR04nQ/Z\nmq2w0dkWROLWaqHZ58ZRtjLrk5cK5RTj275rg3orWINdKLKFBJJmrMmUkAITNyZYEbmqJ6pjDHeT\n05ErFCw4J+L/zqkoKxJvDBdF3eJ4QrmnI54iSgG6ESB4fSGIyNuJ72atZDWWTKw4bhk+O6B6ZoUx\n7Zkgky7s3oG0P57dKgzdYK02fmPiXH7KiEIExivJTMZ3PPNHNCE6YehW0Q7kZq1nEnRTYB0exPK1\ngGbqyY812QJwnulrFa4QcbCgZBBX175Ti1RRjD5ZZacsVfg+8jOLGuDj27LP5LAhdJB08SDl14ZC\nJ8SAR19GQb9ghKgYmXhGm+MgJorwpVIV+oFcWZBCpySarJXSubPrvps3OGy58K4jcuWYNwOeO7jQ\nZ0WxS3pGsC2dJxXP8UlGtoijMvEl6di7TK67ck/RjmTMZ/aqQA7Kh2i4cPb+EiJu/91CutaNwqvQ\nZYIPut2vyP9mNvTPH3ivgFLqJ4EfBE6A74oPv5V07WXgKwLSpoSt3dphcOQpdzSju46kre0GETBs\nFf40Q88aGmcwWsqTAIyyRjS0bc0bqyl3D2dMXpKWSz0N/agAchOtz8kqW28HhnckxRZmrgx3JrH/\nakuLzG3Um/FW2qkiQiZzQ4Y0NIus/k2I4vk9wN2OA/U2mFJGUIIRb/dglGAhhRgEmKpPm5UP3aq3\n9+WWW++VTkuax0tazaKgmY4nna1S+l1rT547mfIPdKtx2KAYTwYVVWMZ33SUu7rT4Q4Wgg1ywZ8q\nmom40tYz+b7tpMcyBIhWVLuex37hiOUzD6Mbjy0dLjrjJh3vTnaWtDJH7KLDEQPayfHRTvhFEhjj\nDRltj2TCn27/Ls20JUwE8ER3lNhxSh1SbzayqsDGoGyPa6VOlQoBs5buaMJYkmlCMPRs74SnOdlf\ntWUo64zfWTzF88cXABiPKpYrSZs3HUm80zQxQK3XOW5lKY5Ml4V3LroBVg9p1lcceBhfN4zuwPo8\n3fXm8h4y2MTHIE4aLOUxpQTb1NERpjNKeMDt6w3Xxob3V/4JCCGE2dd47f8NPPQWf/qxEML/FUL4\nMeDHlFL/APhR4Mfv/2NzRsJ2fO5qWD6smb2ahlRDpy+kW1mdJ9csy0cVK4AxXN46YV4XrJoMowLX\njnc5eWGX6StCDqu3FCETjkZQqc0uN1MzjZYvWtxd80WAWi4y8bqKgGkpNVEimaW7RjoTihBX0eR0\nq1xyrBDsyNRykqevChipI0O52pa5r2wpUhz5XKQ7Umtb1zJikoYk3dKipyJDIRIVfSACCFH1QGYY\nerA6xNJNzAn7IJSwoyxznCyHAIyVuKw0E/FlKy/IZ83mkqmuH69pxxmzaxJY7ELhcrkB6y3F+CaU\n54Gq7nhd9SzDLh3EskDUCntQVbceEx1KErlPyjffuegmJcRgxNqnuzm7oJFY46Jn1Q5726NNvKnL\nGFLJZySWdNP+UaM7daj0xghGWij6zmnowZJ40xMDUYh64I3WHZH3eDVEa09mHZvT/qGrO6WcdkHj\nVpbJC7l0dSu67p9dybGYXQ9oZ7CrPlvLo8pqop50gagbpVHdHF469mmWL41FAX/8JVsIYfq1/v51\nXvuX7vOpP43oHv04f0Tp2s1t6xXXjVgEJQJqIKvD4NjjlgpTGhbfKhpIN4+3ZYYr0e9vjNl6XkVh\n+ZjexxQ7nRhTixaxm4gGkTkKnQZOM1TSRh4I9ygNT3bM1rjypo6LYCGSNZkqOVOo6NghuIIrFIP9\nmOW5vm083A8Ux73TaLrgZQBX+FgHz4jkSTYHPaqxmYszUCZmOrKiNqVFH2XoWuHGHqYtyor1Trro\nXXv2Skug9mRQcTQfMfu1MSAjIrPrjmoqSgSNDZQXHZNrhuxuhm7h6N2BYD35kWZ9Pt2o4LcCF37f\nUV/dkayn9Zg1rC9k5KcyL9iVZS6C2GmUJJY5Koigmm7DBmkvga7yHbSLNAMjN7MKgqMoFyJJUoJq\nKnWSv71096CNnTYVyy7hwBHHdgCveuXFTkb37JqecK+UdbmBot6Sge1sIaX78VOgyozjRiy5FLBY\nFx34tVmqKS1ZkgLsvSxiVzFYbuBS6fOOX5cUsBkJm74dS1CSDyc7SzN5KvSBVTe9KFuaA0zegwTx\n7nvQ7RuyQXrQTSn1ZAjhxfjr90Nn5/RLwI9G26OPAidfDz8C+rmhlP7GCxPiTdyqjnjWfHHE/Blx\n5fClJb9j2Xm+v9BDzCqG+3JzbwrF+0wu1MnLVlYfA86A8nGlzaX1bCuh0wu4LY93eWZcmYGOONcN\nBCMt5cE9ATttGTqswuXy4qBE+sGW8YaJ+Eln0xNvgt3nXHQr8bSjIetLOWw1bH+qYHgvbIiSxdav\ngnLbcPieHD/wuK0GbQJt+6aLH/BecKNVnVF8ekJx6rqg641gZtncYEpDtedZPO4Y3TQdy5dGwdML\n1vOC/FaGXSmyuWLy4jHllVlkYQvYmoTt0s5VEGnexMXqbvrIh9ERV9p0g0mzWukYpwDutTQINk0e\n25GoK6gYaFQbdamS3EbMiHwmWUc6B9I2l2Btyli2bRhUmjJ07fEzhgI+qmjOu2SH4YFn+ZdXjAYV\nz59eiJ1MLXhfelLcwoZjsbs9ZPsVGBz5bs7uzIlzqQyT6zWPSp7Zik4OuCOJxuujO3bQzeIRg5sQ\nTiU7LE4Dw3tf7079+tufSkAC/pFS6p1I1nsd+I/j47+CtPxfQtr+f/u+3i2EM12uZIWUugkpzQ9a\nMX49sG5Gb5XtAAAgAElEQVTHuAxm12U+YvWQJpv3jqp2LUzb6U0XV1LhBomWtewyZU7NVInZHlAc\nSaBIfmQqhNit6D3iE6cIeqxIefF6V61i9IbcWJh+VUs3RCrr2ihTomIGr7xIvCZ5jUS0E/VMOPeF\nlvBlQFlU60jgu5Di+mM3WTgmtxT4gM8M86uW4+8oUVHSIs1PzUYlPiiqxjK75iToZvI55RgG9r7U\ncvKYpR1LObq+5CXIroTA2rw+xl4sqR9ScMcyvgV3v32P4YEM0sqxFvR0dd504vni0qJ6yZFUwSlI\nrUO7dp07SZI1Tl2uoBQmWpUbJwuI6E8lgqLceEm/Srd0OEkPjNO9t24CtqHnUsXMLYn+J7C8f36P\nt3RyKK6PMdrBvXcb2sZw+cIph+sRxnjq2p4p03TMiuTyV2TPjpjeDQwOfU945CxeFZRCJwghRJHA\nUsZFdNsbH3RjTLGcDZZOL7wdxLEnK981LQTJGv1Btz+VgBRC+Otf5fEA/Mgf9f1SCpnqd9v4fvo4\nyKpHkMxCN4HiNN60baDcFktjVyhc1ZXoYiVdCh8GJAi0A7H2sSsieU5S42wBdpm6O4lVnNBi8Cag\ndO9+kTIv3YJXctLdAAZ3N4NUPxmvgpQTQYES6AqnFVqn75G6ifF5WvduEIUIbSVsxeU6Sv6mVU7H\nUigK26WMwwVm1xuGv5Bz+qhh+cE1IQPvDIeN0CTs8yO8cV0HR8dOoLcKDExuOcBQ7SnaQaC9WFNP\nNarUqO0aYx3Ti2sWkwG8PsLlitV5zeBYYVcySOwzxfDQcfqoZeeFRnCkWALVU1GIFHmQmHXaZKPU\nH+ds4TZMDNOwbPK/U1DJyu+t/DOVUD3S+I4OskApH7BrOe8dKVIpdFQDMDUQjRxcHIpOATmZEYSY\ndWXL/jkJCvIGVB0oLwQGeUvrNfOy6EwjU5s/zSDKPaNwlWF8Uwi42aoPCkH1xhepApBjFNn/Wgk3\nLgaadE10lUakPdTjjfY+fVap/v/2zjzYkuSqz9/JrKp771u6X/csmtE6EkIgmRASi0LYLGY1xg7A\nGIywHWazHZYXFttgMIbARBBhjA0BNgGEWQwOdhmwAgIQmNVYCLFIYsQgRhIDGmm2nu5+3e/drSrz\n+I+TmVX39uvu14vUPe17IrrfvXWrsrKyMk+e8ztbYqTVnFTo9FpX7qV0E5q49aTOPGuzL4fl1rHF\naE6Jkdndybyd/U0S1jS72xEm5k8iMe+OlIkeRhaK0W5bWtYwNrXKBdO7R2eTt69mFSyLuVLUs+w2\nkJ3OUJOUQtNPyuaclBCKHlyUVLxPSpWLmHbf7KgWkkhtiykntE8VT4TimxMroZvYGETfh6pAEtWT\neklSl6LPGQXg1MMdp35zTOj6MIUYhcmTWq7LYRLR95tD3iBGT9t40ToT97dNSgudZ9FWyLu3aE9I\nuSbUxmxCYxtJGDlO/HnH4X2VgffJ6lUnIL88d9o8skpWH4RitVoJkaDHdST2BT+z/485V/ZgbZln\nPr9T+gwPGQDOOYSSo2Y9Te0nh1BIlrkuh7NkXLB3DM0xi7rTUVWBg+WIJsURYlMrYXqemBxYAZrH\naibnAs0FK3qwEvyLfc7Hhqosav5G5l/XWyILjpTj9AK9yX+w+WsFyz1JTr1yCVZ2PXSrVLabSt0Y\n9h/wnHzEsIwMNGaOPrvLsftoIJdhdskiEmtjYn6WGMxhTM6UKYXHxNFOhG7LdoUwMie5odOcLQJb\n/BZoK8TK3ujw5WUqjAvM/6WSYj0LCbN0HZB8RrK1o0r3BYik0kZp8pQ8z3VaKIolF6MHT01NM8nF\nL1eZZl6oJYRB+7HL9996KtC9acLBq2fsbM8teHM5Ll66rusZaUSLZWrrqUA3tsyX7Z5Dx4F60rK9\nteD8mR3kkQnNBWPUi5Pm/bw8aX1o9q3t0QVT3cbnAhefWzM+F3FdRFLC+ez/UtRQgWzddEvLjpAt\nnToImyi17pJUkMHrPBbFt6vUX+uP5XeZx6j45kCqvyfFF0lDCoyuBUl41fy0S35MqbhDKl7ZbQnV\npMMnB8dR1TGqOhZdxdnz2+aWMXRufWrE3W+JVNMIJVWvoiPXv1voQz7o37+EQQTCgOnlGMtstbSN\nCoso6BiE7pjRJKtsixODwblOuiMYkmsTFpDc3XPIRX1gatrk6Wg7uCZpAtOlY2W7P6TJnErihLHt\nVO2WY7FnDCmOrL1hSEE3tsna7PcLsjcz05e9cQM1LEtOw8ktaQcii/RAxhuKwyMpsVjadUO/8LNF\nEMgFTYu1KYPd+T4k9RSwt5/BfIXg1wRmodQxA9h+IhLeMmH20Z2l9N0VcI7Rvt3AL7WoH/meZn43\nX6SZwn3PPkeIjqfP7eDHge45kfA8LbGDUkXi0urgLc+7VFRTGJ03oHZy1qyph/dWbD/elUWXVeT1\n3FADl6nkz0QxXFwSnZ4T/ycGFQcbhKNnPCX4NGF9uRPqgYTxzU+LBfM6QTRJdTMrtBBGg01zZB7d\n6oVQwexZWuoITlOdwIvTkVlFXd9fjTD60wm7jyj1YUh4G1ZSaijZDZhSdl8R+jlq+F+frI2EK1qc\nkBJSet28zvwi47K9RnEz6rFluiMYkqipJouThu+gZjb3LWSHm+Jb4g0LKhn8WMV8LHGahXosd4Xl\nSTXJQpTFqcSMGsUvhPqC7Xi2cEmgs5BTlWR/F8gMSEpupJwxEiwbQLbIyLKf9BkUzddDchtowM2S\nqppipIoqkj5KHEy0LGJnTCr2EgxZBctZDGXQ57Rwcw5m15llyb1xl62ZgvTgaZZOtBb8PJbNoU4F\nBBen4AUf8jhnD7e4eGEC+7Vha63DH2b8B2KlNFNh8qSw/XgEteyZdoJZq8JImJyzIpOIxbstTnom\nT3fFJ2kYyiCJS+dyzzlzgHopsWrr1k5LdWJqdQ450eTwOZQ60x9rN/QWt8mZfoNUpEhclhE0gcJR\niEk1yk6X7V6gSuKKd5bTKOd0z6QKcVZRHVrBTbdMVrUk3eeo++yYaUPXWwhJWRRi7SAVfMxZJsp4\nae9QWXy3MGZqY2ebXbftLH7vouFiN0p3BEMCQM1cGmtheq+jPoTmqWCeuXXPwf2yL6WcvZpRk466\nLcuyOD+V1AbMKtSeVPxUEG+rvT5IE2YBFz9sCQqjRxvqRym6dwQkLfAwEg7vF6bPt8RlFtBpEheR\nokZki24BWxMzsYBPu8YnnCk0PZMVTZMtGLPM0duuNdO2SD6vt/jYYknWI0+R2YdSRXaQi1XCtyrD\ny/afY57j2+/TVDHWwmzwpEIDvaQaRhZLJs8/5L1n9mjnFXLB/J4sNYtQH6aiiYdKtSBZ/dRS9Cb1\nuLzmtKjDKDHbTulGLpVzdj0omyJ3LUC09z4uOEfZKHKKu/5Z81gVCTbhdbnayIqDYG637duEnkHl\nTSVmJ8PsNR4Nt/QzpZobaN5uCzLpcD5SpwRry66ygp9xYPJXIKbUIGNHs9+ZdB8VPw/Fq714kLcx\nxd9Z3vmsaua6chLAFbB/lTH7pSav91SXLVnbqmmaJ9FKomcr443SHcGQVMw5yy8M52kuKNP7bEur\n5n2Zmi55+pZ6bd5izpwoWtnOu9w1835z3jxdXQD5Cy14zhB4BuXu36rTi0hgeg76dEl0v9uYxey5\nAcaBxYeYHqfnGqoDR31RSr6l7Dw5jINSD6TJbpMq7bY5uWL2Lamxyrapvph5MKccQmlyubbPKAB9\naaa8yIdSWRbnTeUw3yNSHFg1FcLYCl76B63Q4NCUnWOfYiXUh5Fq5unUcvLIQQVOiWMlkgJtnxNw\nWx3jP55w6uFoPjuhNxRk59I8HrlPbmnqQw4P6cZClWqILfe8RbfndrAFuuKJLbmvlBCRkPIhFZIB\nM0rnS3pPOVTEtf0GkK2i0L/TIhG73rKnAu6gTzbnWlvYy3E3KIttTryWHVJLLJs4oIpM71MWe456\nWjE6syAFshnTCWI5spMkLgJ0xqFyMkNIwd25vJMbzMEk4av0flXSWQhQHNkY+VmPJxUJ/AbpjmBI\nkCbkxEDm2QlLGRKbftFBcozcdmXShMaqd9pkN8zIdcrWU31e4WJFSgvDvIApKliZmBkfslvh0+Kv\nLyrnXxZxM0EXNf7+GaFz6E5Ap67o7tKZU18u01N2sXYwoZMTmotS/FlWHC6zs12SquIAMJdOS3UT\nFWPKPnuS+14kz6lhi6RX541Zioq7+xem4rbbhtVJ6DG0HI2f1ZXzL/b4ufFUFHS7Q+qIBmcOknOP\ntI7JgxN23xN58iMdJx+G7cctI2VRoRI2JJ2NQ5Zm+uRmdp4ly7O+ZuvPkNn2UmiPO0EfOiExqUQp\nEh5sXkEK5clYy8AQgMPA6uRXlA0NTrSox1YlpchixiA0+c2VEBNT40aTlsNFg6qwXFbmEKmyYm2T\nJtI9d0HbOt5zj8fPtqj3xVKfJLeH5oJafOG2MdWT7442372p1WDqo1crrTU+27uDFLwy4aBW9MCw\nQMvZlYKGGynS+/s9lu2ZQmEM7Ql7seOzyvgMlhw/2t/ps4Tx0yaeuy6L8mkR1ZauQr2lWLWgVcM9\nRKBLPiSLPROV1ZmTYj01MLiXbJTZXUI1S4sh2Dn1FO59k9VDW5wGd3ab9oVLiEJ3b0v3LGXr4ZGJ\nwkntusQ6p5RKGwDqtXjdAml3SrtnxovEAP1YCSXLofTews28B7yDA63tPB1KAxnAr6UEDccq+Tcl\na1w1t/uFxqyXsbYAzXYrhSTsw/5LAywT2OoUbZ2pHDPPPW+2NtSZP9O9v6dl/GLTOzcao0tq2aBf\n1dw2mVD3DDOD+TnHuUNpt4TRhT5pvbUrPeOH3jcrS4bpuws2l8zHjVJxJF/rlr2UWbzfW/s9q20O\ne2d5E8v4ogQgOVHWh/aO5rOGujG9cCXmMBsLhFLUMypIqIz5bilLsQIGYPXxum175p33SJIO7f7z\nU57FnuWNqmbK5Ezk4vN8MhBFmgPtpcjBOOUsCK5NAsDIHHqza8ON0h3BkFyXczMnDMD30duxtuMh\npfPoRGxHK7XRLBwkp41oLgSbUFFpt33ZUcMIFqcMzA5j2HrMrE/bj0W6kVAtbAetBvlvMpNQEbae\niozPJpf9Cw37H9rht1ti65i+oGW5XzF+yiwuzYXVEtsk66CVm6Ho7kLPPLKUkHeprDLlHM0AbtE7\nMOYYsFwVJd8vRtuli6qixvAzJqEeQlJNske7uUn0qlqWGsZnLJ3vvgMOKtjuEGdmcLxy//8xqdIF\nTWC+qb05hKeaJi/wsb/EDSGHOSxO+FR6yHyH/LJnFMXYMDYDRR6X+lDxKVlbqAaS0VC9yl7KGfdZ\n9qpMmTmRwsTzOy++Oqm9jCUVPCeXXkqbYaysem9+1+20wY+7EmPZ64lqUmWaD1JHYifoYYWfWyrc\n7CvkFqZWSTC8U8XwudDA4f2e0XnblBenrJ/zu6zY4877osW2jS25f55PuV7o0FCTf/MzIUyU6GxD\nu1G6IxiSOkuLcPFFge0/Nybi5716Vc21LOR20leIzV6mknyQqqnJ68O667FKnrkOtt9ng17Nk6dr\nC8sd4ezLlZMPO7YfD2TgtN12g3I66eUFJZuWt/+8oj3n0W2zjPiZ1b2qZlpcBnIAp+Q6bk4sJGkI\nsMbeZcBpv6CyJOjafpcexnINa4f5VpNqaN7f5kcFboDftDsDZuDFgn/HvQqUk3dVcwvF2XmvAanz\nPYGQTpp7/L5n5z3C3juXhLGWKPJS7lp6tbFLIDVQLJIuaHFPyGqauuTtnlLEksD7nH4WEvPcMheO\n+T1iWSF9Sqi2oFgqYy3J2tdjS3mcsp9RkY7WXABUBCG1k5ikZXyAdseV+EGfsj3Y/BCo0zwbwT2/\nUXP+pTXxATNZjcYty2VFDI6qDnStR3ykqjuoIY46OL9t8z05OEqAkKTtrHbO7hWmL2oZnZxzEBzy\nri2e9ebOLKhJdV2erBjt25yWaBhoPeuNANKZUUV9jvO08ldukfORD8S566RbxpBE5F9gYSIB+HlV\n/ep0/GuBL03Hv0xVf+lqbbmlRUnvvssncDD2QGOXgM0sfneOrjUsZnqfY3zO9GpLnt8PqBXGM3Cw\nueBoLmqRUHK6CRfM1LnzBgW18ITFCVNN6mksOy4KFx5wln3ygtJcsAUqKoye7hleaCySv3jtDlKj\nxuwWEE0Sy4utFE3M5vckxeRFOVQtigSlWbWwyVrNtVjdohckMZ58n9CYuT9jC7GxkAg/SwGnXou1\nqZskZtWYmnfiLzpiXVNNlck5oZomv6+Mv5CNAFJwOhlIHVnSK06LZE/1JPGsqZg5N3W3lfpa986s\nJXYMysLNGBvJ0dUnoDw0pnLm+eWWxrSG1rQcgyYRfMYck1Gg5KfqFBw0+6HMK8DwwDjAxhLWFBph\n7yGI79pmep/QvfyipRY5N+L0H7pe2u3651mcEqpDLW4H3bYUBp8rvPgl7LyjpprVln8LOPeSqjDu\nwxcEXvjTHaMnDnjyY06bCjm1d5MxqSzFhZHQ7Fu8X52MAjbGGUO4frpV0f6fiEX5f7iqLkTk3nT8\nZcBrgL8EPBv4FRF5iaqGy7eWoIl2ENy6iMVK5RYRcvqPrIPjQJWT7w42EVbE/GSpSDui65TmIK4A\noDlJWAlgTEzHQg9i6VTZ3Z0lJ8sJ3tpd629zwSZMGJku3p6wQNCcvc911hfShO1GtkVret5sfSuO\ngWmXzsGg+XmHznx2TPvFkC0+abz6VBU591BiVCk0BUgmfaxYpAeXPNvDWJg8FTl4jiWpN+zBc/KR\nHF3KCu5lbgeyYkWD3nycF7upbX2AbKYwouBjKw6kVd9Gzg7pWnDzvu5Y6UcaO3N3GEiVSzVzdva2\n9hlD7N9pwZCy5Ta98wx++6USUrhOji3MSdpKHmpNKmrEMj625jwZozB5Qqlev8Nirw8Wz06wOcjX\nYhRt3neTNDkwySgOwmX83DJ2aqqio2I552PKqLr7sOfRT3TsPXyanfd2tLu+SNrDUKN2Oz+/SZvQ\nayNyxVV6PLpVEtJrgf+gqgsAVX0yHf8s4MfT8T8TkXcCrwLeeKXGpIPJuVAWX9l1VIt5M3sdA8W/\nxbUWHhIbSnoJO7fX6YemfCBt6PbWC5MDSqmbFIqgSNlBXQfS5soZgnvULjn7MrHy0rUiS8EtzBHz\nzCtgfMZz8t3G3DLDq2daJIF83yGT0OQkObR2FGaUfQuT6rfCsJAiHYqmfMqtllpnsSyy3qHQLc2P\nJnrwHkJiLNP7zHNbEm7SjUyfywUxNVnGQk5Fm8J5Sr/SJmC7u5R+S+zV7vwdzRWBZQXzyepSSVWr\n6f0kp0QGTNHP89zoVdjsq1QkIMWSqqW5QxqDrA4N/ZsKfpRwruwTVMoF1T1el0H4mBxYycGvXmgO\njMEsd/sg6W6Scmc1vRqZ31E3EfNjilntFw6fpzTnTJppd2xsLV2w4VbD8c0B3rN7hMlThsf1tQJT\nMHhr9zdH5Ih7oi9N5ZexqNU3QreKIb0E+LiUxnYO/GtVfTOWrnZYXimnsL2EhilsR+O9MmHsx4QJ\nCMRk9s1lhHL8Ut6tXSqxsxKpPJiwDJoFCuPJv2vCZnJ2gZJhz/XiOSTVImXXy17RW49BPOOKONyN\nYXlKIRiesNwW87Ep5WYGUlr665cDcbr0IzNM6ZlIlgoGjDVjIAZwy+rzpnMlKD6BJ24Jksy/YSJU\nB8n0W/cLPzTQ3itFJfJLaIOVsA5NckNIcV292Z5SVjyHeJS+ZmaSsLhcEKAA2/k9+L4f1dw2qeLy\nkCXGkMcsXRb7sZFkVatnlkO9RPqnhZ8l4oy/QS85rRgU0nyIleDD6tyy1ML2YBIpKWbye41OSsXc\nmCSy+lDptnJOrd6PqTqwvFuz047ps5VuYv3JFtrFPR1up2W23RBrnzJSwOx+RVpTwcMoBZUnxn36\nQXv+6bNScYbEHXK1Eonah5F0WbMwj3Z7htsYQ7pSCtt039NYrbePBn5SRF50Le0PU9junnxu2p5Y\nmRBlN+160bmkQBV6MTwveNWesQz9KgaA8HAnz+J+kT4yM/KDRUWvPpjFQopp2S8olVO7icDEJlN1\nmPNlm5TglpnHSJGWSp6e3O7AKa14G0cgSjF158WXn6lISCVHTq/KZGC5qKP5N7VFyixJGoNkc2FE\nKRcUkiUzl3Ga3WOq0vhJSnI5w8CkOJ0OVbrQ9PfXATgNvSqX3+Mw5KHE+uV82cUVgKKODrGgUgJ6\n4Nk99LkqcYgZg8oSmypEKQwne4Tn34bpZ4pTq5OVfmfpIrtq5Nxb2eoZSwxkygCZVMODFyg8d0Y3\nrZCpRxvFX/RMnkwpemvw84rpc0kBu2pSz7Zw4l39uPhWi9aQi2oadmi+XfWsZ7LmY9a7NQzTmmSD\nwNCF4nrp/caQrpTCVkReC/x0yn/0uyISgbu53hS2AvO7vBX/O8wDbaKrBC1STc4xlEXQnqmkPufF\nNcB+stSRLUx2XFJMT3YX6DGqDAwXkDhn4csJ2oYhH4Md1QVldBZGZ21hZ8e+svv7pCY0pPJJ9q/b\n1lKtoz5ItcCWfTpbdRTQvJolgDasTaAoZYxK6EVWmUKvyhQr3VB6SWpPbEyCCYPUruZNTdk4wwhm\n9yXv6qkU8T9bCfO7LL5AGdhOcV6FocS+zbxQsrOqpHxUxbKYm82STsofteLImv8oq4wEVqLkex+v\nXvK9hEkNN6/i9pE3v2GHJDmogjZ92azYZKYsacyMibU7MH1xi1QRXXhGVaDe65g3jVleq8hBXTF6\nyllanHPK1uOW68svTcWanOn7lF0/siU4j1HvQNrDHmif372MpfZBzJbmVm6CfHTrVLafxSqN/JqI\nvAQL8TuDpbD9URH5NgzU/mDgd6/WWDcSLj7P2QQPFOYRGvOp6LZzmhFl60wsOEiRCjKzSTvZ/JRj\nep+w86haAv8ELIdmUH101xwqJUJ7QgkTe8Gjs+aZ3OybSVci5lQptnu3O72FJ5NF71sflrsmEWRR\nIY5yEGNEdzsIgp8ES9bfOZyD9jR0XjlYeKx6n8LC2eTyCk4Rr+jU46cO19nkCdsRHUXzF2gdEgUd\nB7OaVZE4q5ClM+xl7sw1oZRjtr/ZzyYDpRk7yub3zJhyYKcuDC/xi6RidYOxz+/B9TgQ0jMbsqSQ\nXRqSw2JW5bLUkYHwYljIkpcHkILBuMEuXyStnBtb+r7n5xwyZfpX1BtLpD9mP/RST7tlfmvjc33g\ncbYsZiklB7J24/RbBRdeHJDTS7Rz1KOOk7sz9g/GtIuK2JkeLj7SPF7TXLD3U820ry8X8xzPkp72\nGSrzeOlav9doKFmXv4MKMDlddKiv0Mgx6VYxpB8AfkBEHgSWwBcmaentIvKTwB8DHfDPrmZhAwNh\ndx61Ejs5Jimm5FHqbAevpppSb0qJyC4ZGxubNKExZjG7N+8ihuO4hOmos4KDi9NKuGuJq23xTiZL\nTm3N2GkWPPL0aeaLmmkQdOksTKJNAE6bJJEqJpBV7J9TZGyPKaIWq5Q++ypQ+chu01L7WCrvNlVH\nG0yEuHvLfFYqFzk/n3BxPipR4icmc87s75iz47gl7hlQU9eBsY+M647poqbrPNuTBSfGizKuIsoy\neGbLmkVrQZ5tcMSlN/xJpXeGU0E6oXnaGLKpI7C8O+LnFmfoU9OqSY1N11YzLdhMNxHCxPyDSnyc\nWNxUAezzVlzU88H3jBXlMcyqlvYMpajZSon4L1JNVplU+9SzMrieHsfKjpJZshqGGuXg3HxNPdVS\nETaD29ZBCiMLI6FtrO2DBwK6Y46kVR3YOXnIoq15+uwOror2PqNJ3/7MiNE5KdKh+uRaJJIYd6+O\nIlJiGwvTLrWw0vgx0Bakhx6QHtLIVCS7QX7zG6FblcJ2Cfz9y/z2zcA3X1N7A+tSDvEQtZ2mPaHU\nF6ycckj1y4YTRlP2QTC8Y7mntM+fI6I8+QJvkkMQ5MSSyfaSE5M5tYtMqpZFqPAuctf4kO1qSRs9\nzT2BcdWyDJ6ojoiwDJ5p2xBVmC5r9ve3iG3SR1Ktdl9F9k5M2ZvMABj5Dpe2Z4cyrlqqNLvrtLUH\nFaI6nFhJcIC7Roe0u55l9HTRsYwVu03PZAAaH2hcx9h3RBUiQhdtBTcuMPEWB+BEWUTPPNQctCP2\nF2NCdBwuGhaLiqYJzGeW8tK5SLf0LHc63BmL5vdLoTln7ebxrpKEpQK+5G42nx91Qn3RMKZSwidt\nFMMcS0N3hiGDctnfrOBhSeXoelxm6JM1NDxkP7Diva79QgxJHS1YT/aO74AM6JPxnuQPlBhidq5c\n7lhGSz8z94hhrqospbe7cPiCDtkKJZBWO4dGwTul6xzOmzwiTtGcrC0xfzMkmnUXDxqsSs4KLjq0\nwmpm2JIgNL3EjjNUSbMkFKukeSSzf86N9Iz1Q7rZ1J2IPPmpS3TpTdqoY0lm5ZzSiv3LxRABogrh\nfIObO+JOoNpp8ZVNBB8dJ3anNgmCY9FWjOqOZ5+4QOM6TjbzwhyiCiPf0biOWgJuorbIVVjEmsPQ\nMAs1QR1npxMuXNwyf5Mm0Iw6xk3L9mjJidGcsW852cxpXMoYiOIk4kTx2F8nWsphRxUCbvDdVkEB\nKlFadXQDxLtKzKyWWNrObQHlexc9TiK18+xUS3arBXvNjGX0zLdqe75QwQm71omWMZndX/O+M3t0\nKTeUzipk4RiddZbFtunxoLwomguGveXsDEDGmalm9LvycLVI/3dYLvoS/EcoVtcMzA/VlG6cjAoD\ntcTPScnU7Fh2LpSuzzqpKZl+BnmzBKKt3S/UwuK0nVtfNP+ixSlhfneESi0mcZSd2SwBWz0qMU3U\nTYdz9s5PjWd86OkneOsTz7FikYJJ18kCmtPP5JQsRZpLKZLL+Kg5vmZMteD5CbdSjlZFJZjrwfy0\nY7kL7UktOcIVLFvG6Q7+OzdEdwRDck65/1nn2amXTKq2SCU79YLGBSLCtGsKo5h1tak7p+36oELt\nIqZTEpcAABZlSURBVKOqw6HUPjD2LY0LbFdLnESiOmoXcCiVC8Z8RNkaILK1BBZa0UbPQitmoWYW\nai4sx0zbmkVr5rZm3LI1XnLf7kW2qiVj37FdLaglMvFL6gQwjRKTA/CJgWSK6gjqaAfmp1Z9YVKZ\n/GUCjPKzeIk4lJhxgNRm6zyLWFER6NTjRJn4lsoFxr5fNHls8ucsqdU+cLhs2B0tGPmOKvX/4afv\nYfb0FtXTtfkxJdwEgW43Mct9x/hJM1AU0H+Q67kfhJ7pqMgKhnGJxWcgGZVDJdNBDz5nSSKHyuTC\noHE7mDSrpmZLMMlEazUVPAp4xU86kzJULNasTVieU3IRztLOWh9Vjbnn6i5gavN8UfM4u5bOtu6Y\n+9o2mRRk3Z3qOBx7/EIKpuZaSx7ok5e5T0UhV2LvWilMuoxX5uHRJM52Szh4Pizvish2i68ivgp4\nAe8jo7otuZsyhHAjdEcwpO16ySvvei/b1YKxa6kllIXsiiSTPGaTGpX/bjljAPNYsx8mdNFRuViu\nryWURQuUhVvLKrQV1LHQinms6aJjFk0ymnc107ZhumhwLnLfXfucnkxxKE1aqNvVgh2/oHKRsWvZ\ncsYEPZoYn/UnSzFAkowcIYvR6pjHeuXZgMJ08udM5Vi6T0B6CSuvepckQDpa5+miZ4QQVArjsWeX\nJFH10tZzts9D8up9crbLk7MdLk7HLKa1MZ972rI1B8VAdwW3X+NaM0Lk6haWJrWXgLSiLDxVWTFM\nZFxnCJIPXRq6LWG510sBYWy5sGKtxL2WetzRtR5dOpOY0oVZ4tasvjgtjMY1wVSpEhJvyo1zQr2z\nQATa1pffc9BstAA4nE9hJdFZdZGUoTSkMkcntudsN0u66EzdbjraedYb7X6629GdGPRVFO0cLBxu\n4agOLBPFenqbUmcuZzVQUx3n90TCyY7RiQUahUagaQxGGNUdJ8dzJlXL2Nu/PHceWl+c10h3BEOq\nXWCvtqp9Li3i4UK+nJSQySSdBSer6cpuDz0jq/v0AEUCiUmayEwB7dWokFQ5U7MiW7VJUpWLNK6j\ncpGJb2lclyQPY0Yj6Vb6bve2Z8h+ll4iS62IROrUn4iCMymplkAYMJfMiNalLD9gUOVZdE26Sgi7\n11hUmqGKmFXCWajp1NTHeag5WI44XDacu7BFuGhMiDqa29IwUb0b6E8qaKV0k2RyDtnbOn1e9tKU\njbX1f/BIJVYtemM+02cr7V7A7QzyY6Td3XkbU9VkgMNwYF9FZKtnMCKUMkRt25chj9GtiBd5XJo6\nMKo76iqUIps7Y9twnCjeWYdDdLTRmTSlQojCuO4YV51J+kkV3qqMGT12eIJzF7dol5UxG8UedpBr\nG7BsCiTweRKIk0B7CtrsMJuzCORxjxTrrIwCVdNBdHi16jJNE/AusjVacmo8Y6+ZsVvPGbmu/LtZ\ndEcwJB1ILV5iv6jU04ovCy9LA/Y3lvPzb1ciL2ogMq60H8Th1FSWIH0fWvXs+AVRZUWNigMQ2u5p\n2FCWyDLjCEhRujIzGjJEw5ciUawvLgExtXZFcsrtxKGOko5Bz0wyRWSFIa322X5zssrArH8R7w3n\n6NTRRk/lIrOuZtF5wmIgxi/Sm3CawHxJQKqUXD86inTjQDeQTsA+DxOUZQtTwVHAFlQT8LWNrwLj\nccvp8YLd0QKHMZmx79ipFyvGgfwsGWNbxopFqOjUFeNAG3xhuqq9IWCd8ihleXadCZnBQwiJGYUo\ntMEznzXsY8yySsysa63kEVCySLpklc3fNfUnx8OtqLbRxlaDmLdqlOKhb+MVcaNIM5pzYmvOuOqo\nfVLnnc1N6A0rE9+aiq+ORazo1DMLzQoeeSN0RzCkqMJBGBVcJwPAXvqFbmqXoZ9BPS2eVqvCnIaD\nadJIxA0kq8yMhuRzUqKkTtU+JAZ09ES9Eg2ZZW57yDCBFTUJsP4NzSLiTKcoALDpMOv9aZOdPKtm\n64wo41LrjBRisRyujEtRh6VICadGU2oXeNJFDmej3icwLx4GmPTaospki8tUmGGYlCRpy3lzi/A+\nUle2i+ugD06UKuEx04TfCbDwFbOuLvfOkkt+5vXPjgTYe5MUM0OqvRQmlyWhzHjy/bMRoouOse/Y\nqkxSfvRgj4P5iMWiwidLq7iIqDGQdlnZfaKpYOWVZslS1MBktZQ0iFr4i0ScM0k0BkfonEk/nSCd\nQ50i2x2jrZbdrTl1UhczgzxcNlQ+MK46mjyGaQ7OOzNmVAPmUzuz2Hqk5Hq6EbojGJJiO1qH7wFn\nbCIEcYa/JC+5lmpVKlIKVpPJSaTmUlUvX7cirRSHF8ORxtIWlS4zNqAwN58YZqaASwzxUiznKMrq\n4Pqxnnn00hFQcKbLYWhDOkqiW8RqRY2NSULoQXApxzp1TLuGM9Ntzh9M6Dp/6YJae2/2oV9ksoKL\nav//8Jy04FRN/WiD+UhlEpekNheLFKNrY+ZdpPKBpgqlBlqWCIZY25Bh5cU5lHDzPyBZRXVlfPL5\nUZ1ZKINJFd5FtkfGnLpUgDM/U2baAiulj9Zp5YkyQ/SR0ail9oEYHfNlTegcceSKailA13rO7m9b\nml2nVImxAyw6z3TRlPEZ+UDt+80xJsNGNox00ROl30xvhO4MhqRCm8zUROgSInCUyXwoDWWwukhS\nmeFgzKnFF+bhkg3aSyySkiOuMjLiCsPppZ1LJ9VQ8hlKYh6XpLg1RjJgRCtqI6uWtkxDwDvTkBll\naqNfcx2QFSmvlkgUpY2eZZKs8oI97Br2FxMz/9NLByKK99F26LU+AAW/WP9l3YiWKUsA+RxizzKG\n6pGI9nhOFGL0pt6sSZaSpZZgJcF9OsclFcgnJpSva6MWidsYliTmE8p4ZKzQDyQKG0vD2LLqF9VU\nNjB/MBkv6IInRGHZVXSdZYq8ZGxUVp71kjHKzx0cs+mIGavMf8jIJam/zkUqv8qYoWe03kVqF3q1\nLT1jVDE/twQX9M9+7ZrBOt0RDAl6k/MQxAXSbuVBex8b6M3hlYsrKh70lqnyd2DxKvcaMCpfpJ8I\nGgn4hDm5pNZdunOEAROJ2tePWWc8dm7PfIbPdZSlrW9HimvA0KS/qm65xGgN3M3t1wTCwN/JYa4V\n9UAqAqjqyG61IGI+SeaM6ZlULSdHc9romXcVs2XNsqtYLj06MA0XBpIkAliTZAY7ejm0No6XLM4V\nGzal/LRzWphTWbwqaHSE9HoyQzLmZAx2yKA6cQSNhTERza8rSjbhO6LCQqsVZ9OhEaBTV57RiVIn\n6SskC5t3vqhieTxUKaWzNa6qpL6KjJuWrdGyMJR5V9F2vpjhvYtMmpZJ3R4pAea2hjSUBqs1NdSe\ndCAZprXnjth4r5VuVYK2Dwe+B9gBHgH+nqpeSL9de8ZI0UuQ/uMAbPmcQMJeivoVexuyDo8lKUxd\njyfpsL2hpHPpSzyK1tU36Cfw8JgdX2U4Rx0bqmbl/kPnkiNUtX6SmWprYL1estpzv4b9zPfL3t12\n716NyxJCXqDDz230LLqKWVszb626Rpfis9ZVrKHaZs+SPZbjCr50FB31uwCVD4X5HLUws9RUuViA\n3tqHlYXqBguxYE7pW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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "topo_coeffs = pyshtools.SHCoeffs.from_file('../ExampleDataFiles/srtmp300.msl', lmax=300)\n", "topo = topo_coeffs.expand()\n", "fig, ax = topo.plot()" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Next, create a boolean mask that is `True` for elevations that are greater than zero:" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "land_mask = pyshtools.SHGrid.from_array(topo.data > 0)\n", "ocean_mask = pyshtools.SHGrid.from_array(topo.data <= 0)\n", "\n", "fig, ax = land_mask.plot()\n", "fig2, ax2 = ocean_mask.plot()" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Constructing localization windows from a boolean mask is simple using the `from_mask()` constructor of the `SHWindow` class. Here, we will use a spherical harmonic bandwidth of 30, and then plot maps and power spectra of the first 20 windows that are concentrated on land:" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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VvT5KwyJyAfhW4Mmuj/6LqrpYKsd+TMw2HYeKI2UnB+mNH+eky1FWBx3jMR8p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\nxu8HfkhVbwV+CPgPNcqwDvwX3A+jD/xz4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F8cB5XbhjVEcem7eABQcKmfafVfRuE8VDF3ajd5v65TDaxaYDOdz61lr2ZR3j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3ycyLylSbw4vS9XDgi1tlgXzNqUXD5NqWZKr0AenhJrbXE6JEFeznx2+3D+810ySzan8+GmI4yO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\n3JIkSVIH/R87oo/X1ckS+AAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "land_windows = pyshtools.SHWindow.from_mask(land_mask.data, 30)\n", "ocean_windows = pyshtools.SHWindow.from_mask(ocean_mask.data, 30)\n", "\n", "fig, axes = land_windows.plot_windows(20, legend=False)\n", "fig, axes = land_windows.plot_spectra(20)" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "To demonstrate that these windows actually concentrate their power over the land and oceans, we next plot the cumulative energy of all windows that have concentration factors greater than 0.99. In this case, because the surface area of the oceans is larger than that of the land, there are many more ocean windows than land windows." ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "k_land = 83\n", "k_ocean = 433\n" ] }, { "data": { "text/plain": [ "" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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L1Rg1IulcrlA2KNGSRsySN4ux8hLzWuj4fgPZUzlUBkXahlmZMxoQaiQ49zom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\nab7DNDrVjdDfK3+E9ZuXNgeppMZKLeZF01yte2FFTJv8V1s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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "k_land = land_windows.number_concentrated(0.99)\n", "k_ocean = ocean_windows.number_concentrated(0.99)\n", "\n", "print('k_land = {:d}'.format(k_land))\n", "print('k_ocean = {:d}'.format(k_ocean))\n", "\n", "land_energy = (land_windows.to_shgrid(0).to_array())**2\n", "for i in range(1,k_land):\n", " land_energy = land_energy + (land_windows.to_shgrid(i).to_array())**2\n", "\n", "ocean_energy = (ocean_windows.to_shgrid(0).to_array())**2\n", "for i in range(1,k_ocean):\n", " ocean_energy = ocean_energy + (ocean_windows.to_shgrid(i).to_array())**2\n", "\n", "fig, axes = plt.subplots(1, 2, figsize=(10, 5))\n", "axes[0].imshow(land_energy)\n", "axes[1].imshow(ocean_energy)" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Next, let's construct a pathological function that has different power spectra over the oceans and land. In this example, we will make use of the same grids that we constructed for our demonstation using spherical cap localization windows. In particular, the land mass will use the grid constructed from random coefficients with a power spectrum that followed a power law of exponenent -2, and the oceans will use the grid constructed with a power law exponent of -3." ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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AVb9Bo4vp4lU4VV6gUsM8xSO1mpEbx8znCTAzap8xsC3f+Z7fJKiw1w74yGce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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "grid_earth = grid_north.copy()\n", "grid_earth.data[topo.data<=0.] = grid_south.data[topo.data<=0.].copy()\n", "\n", "clm_earth = grid_earth.expand()\n", "fig, ax = grid_earth.plot()" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Finally, we calculate localized power spectra over the land and oceans, as well as the expection of the windowed spectra. For demonstration purposes, we will use the same number of localization windows for both regions. " ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "text/plain": [ "[None, (1e-08, 1.0), Text(0,0.5,'power'), (0, 170), Text(0.5,0,'degree')]" ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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Wdt1xDBwIG/97ju7DGsDnn1+yreVtbWhEMtu36UfqWtVl88QjIveKiK+IuIlIUxFZaFm/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\n2SpaAO5AOMYsoR2AXy9bGgI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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "mtse_land, sd_land = land_windows.multitaper_spectrum(clm_earth, k_land)\n", "mtse_ocean, sd_ocean = ocean_windows.multitaper_spectrum(clm_earth, k_land)\n", "\n", "power_land_biased = land_windows.biased_spectrum(power_north, k_land)\n", "power_ocean_biased = ocean_windows.biased_spectrum(power_south, k_land)\n", "\n", "degrees2 = np.arange(ldata+land_windows.lwin+1)\n", "degrees3 = np.arange(ldata-land_windows.lwin+1)\n", "\n", "fig, ax = plt.subplots(1,1)\n", "ax.plot(degrees, power_north, '-k',\n", " degrees, power_south, '--k',\n", " degrees2, power_land_biased, '-r',\n", " degrees2, power_ocean_biased, '--r',\n", " degrees3, mtse_land, '-b',\n", " degrees3, mtse_ocean, '--b')\n", "ax.set(yscale='log', xlabel='degree', ylabel='power', xlim=(0,200-land_windows.lwin), ylim=(1.e-8, 1.))" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "As with our example using spherical cap localization windows, the localized power spectra (blue) over the oceans and land match closely their theoretical expectations (red). Both of these are significantly biased from the unwindowed global spectra (black) at low degrees." ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.6.5" } }, "nbformat": 4, "nbformat_minor": 1 }