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@kain88-de
Created September 21, 2017 20:44
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Triclinic minimum image distances in MDAnalysis
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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"%matplotlib inline\n",
"import matplotlib.pyplot as plt\n",
"import MDAnalysis as mda\n",
"import numpy as np\n",
"import seaborn as sns\n",
"import palettable\n",
"import itertools\n",
"\n",
"RED = palettable.tableau.Tableau_10.hex_colors[3]\n",
"BLUE = palettable.tableau.Tableau_10.hex_colors[0]"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Triclinic cells are often used in simulation with periodic boundary conditions to save computation cost. \n",
"They are often represented as a 3 by 3 matrix. With MDAnalysis we can calculate this matrix for a triclinic cell with \n",
"edge length 2."
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([[ 2. , 0. , 0. ],\n",
" [ 1. , 1.73205078, 0. ],\n",
" [ 1. , 0.57735026, 1.63299322]], dtype=float32)"
]
},
"execution_count": 2,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"box = mda.lib.mdamath.triclinic_vectors([2, 2, 2, 60, 60, 60])\n",
"box"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The basis vectors of the triclinic cell are"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"a [ 2. 0. 0.]\n",
"b [ 1. 1.73205078 0. ]\n",
"c [ 1. 0.57735026 1.63299322]\n"
]
}
],
"source": [
"a, b, c = box\n",
"print('a', a)\n",
"print('b', b)\n",
"print('c', c)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"More information about triclinic unit cells can be found in the GROMACS [manual] chapter 3.2\n",
"\n",
"In two dimensions we can visualize how such a triclinic box looks. With the basis vectors $\\vec{a}$, $\\vec{b}$ and the cell width $a_x$ and height $b_y$.\n",
"\n",
"[manual]: http://manual.gromacs.org/documentation/2016.3/manual-2016.3.pdf"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [],
"source": [
"box = mda.lib.mdamath.triclinic_vectors([2, 2, 0, 60, 60, 60])\n",
"a, b, c = box"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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EdDmKwXtQVlRxOqP2A2dnuPfobpPnYKycSHv0ej3y8/Nx2223iS5FUdigrKg8o7ZBuXWJ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\noIiISJH+HyzQxzp7S36vAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fb013b1dba8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots()\n",
"cell = np.array([[0, a[0], a[0] + b[0], b[0], 0], [0, 0, b[1], b[1], 0]])\n",
"ax.plot(cell[0], cell[1], linestyle='--', color='#333333')\n",
"ax.arrow(0, 0, a[0], a[1], lw=4, head_width=.1, fc=BLUE, ec=BLUE, zorder=2)\n",
"ax.arrow(0, 0, b[0], b[1], lw=4, head_width=.1, fc=RED, ec=RED, zorder=2)\n",
"ax.text(1, -.3, r'$\\vec{a}$', color=BLUE, fontsize=28)\n",
"ax.text(0.4, 1, r'$\\vec{b}$', color=RED, fontsize=28)\n",
"ax.vlines(1.5, 0, b[1], linestyle=':', color=RED, lw=5)\n",
"ax.hlines(.5, .5/b[1], .5/b[1]+2, linestyle=':', color=BLUE, lw=5)\n",
"ax.text(1.6, 1, r'$ b_y$', fontsize=20, color=RED)\n",
"ax.text(1, .5/b[1], r'$ a_x$', fontsize=20, color=BLUE)\n",
"ax.set(xticks=[], yticks=[], ylim=(-.1, 2))\n",
"sns.despine(fig, left=True, bottom=True)\n",
"fig.tight_layout()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"To calculate the distance between two points under the [minimum image convention], MIC, MDAnalysis uses a approximate algorithm (see [appendix C], or [Tuckerman] appendix B).\n",
"With the approximation we can only ensure that distances shorter then half the shortest box height/width are correct. For our cell this distance is $\\frac{1}{2} b_y$\n",
"\n",
"\n",
"[minimum image convention]: https://en.wikipedia.org/wiki/Periodic_boundary_conditions#Practical_implementation:_continuity_and_the_minimum_image_convention\n",
"[appendix C]: http://www.rug.nl/research/portal/files/2839530/03_c3.pdf\n",
"[Tuckerman]: https://global.oup.com/academic/product/statistical-mechanics-theory-and-molecular-simulation-9780198525264?cc=de&lang=en&"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"0.86602538824081421"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
".5 * b[1]"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"To calculate the MIC without an approximation one has to look into all 26 neighbor images of the two points and \n",
"select the minimum distance. Here is a naive implementation of the exact algorithm.\n"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [],
"source": [
"def shifts(box):\n",
" neighbors = []\n",
" a, b, c = box\n",
" for i, j, k in itertools.product(range(-1, 2), repeat=3):\n",
" neighbors.append(i * a + j * b + k * c)\n",
" return np.asarray(neighbors)\n",
"\n",
"def image_search(pos_a, pos_b, box):\n",
" images = pos_b + shifts(box)\n",
" dist = np.linalg.norm(pos_a - images, axis=1)\n",
" return dist.min()\n",
"\n",
"def triclinic_dist(a, pos, box):\n",
" num = pos.shape[0]\n",
" ref_dist = [image_search(a, p, box) for p in pos]\n",
" return np.array(ref_dist)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The distance calculations in MDAnalysis are done using the `distance_array` function that calculates all\n",
"pairwise distances between two sets of coordinates we wrap it to only calculate all distances to one point, like\n",
"the image search algorithm."
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [],
"source": [
"def triclinic_mda(a, pos, box):\n",
" a = np.asarray(a, dtype=np.float32)\n",
" aa = np.ones((pos.shape[0], 3), dtype=np.float32) * a\n",
" res = mda.lib.distances.distance_array(aa, pos.astype(np.float32), box)\n",
" return res[0]"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Now we can generate some a couple of points uniformly distributed in the triclinic cell."
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [],
"source": [
"def gen_points(box, num=100):\n",
" a, b, c = box\n",
" pos = np.random.uniform(0, 1, size=(num, 3)).astype(np.float32)\n",
" pos = (pos[:, 0][:, np.newaxis] * a + pos[:, 1][:, np.newaxis] * b +\n",
" pos[:, 2][:, np.newaxis] * c)\n",
" return pos\n",
"\n",
"points = gen_points(box, num=2000)"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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2cPIFO7YysgYzfOIuHDAWEQrDU3OjtK3y3pya1olqEXYLq1HvEzKs7VyYk1/I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\nRK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fb010206c18>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots()\n",
"ax.plot(cell[0], cell[1], linestyle='--', color='#333333')\n",
"ax.scatter(points[:, 0], points[:, 1], marker='.')\n",
"fig.tight_layout()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"To illustrate the error of the approximation we can calculate the distance of all points to the center of the triclinic cell with MDAnalysis and the naive python implementation."
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [],
"source": [
"middle = .5 * (a + b)\n",
"d_images = triclinic_dist(middle, points, box)\n",
"d_mda = triclinic_mda(middle, points, box)\n",
"idx = d_images < .5 * b[1]"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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PnRM6nhh5ISv6NSwpt9iXrIwhSzY5JXooNxfaTutiLC6uYmNFWTLITSrIqYWF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OLrh0/V8XoZxvwQNxP195JKaIDUHtwNbpYQS8qqsGVfjU3m5+ipOqOiap6MTqmrzI/q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\ntla0Dn+7yrVrOXLkCAsXLoyd4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sFDG1MepdT7Sqkd5uezQA0w0FEspfvSYxtTHrN/zplf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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fb0101360b8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots()\n",
"ax.plot(cell[0], cell[1], linestyle='--', color='#333333')\n",
"ax.scatter(points[idx, 0], points[idx, 1], marker='.', label='correct')\n",
"ax.scatter(points[~idx, 0], points[~idx, 1], marker='.')\n",
"ax.scatter(middle[0], middle[1], color=RED)\n",
"ax.legend()\n",
"fig.tight_layout()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Here the approximate algorithm calculated the correct distance for all blue dots. \n",
"For the orange dots the distance wasn't correctly calculated. In such a uniform filled \n",
"cell the amount of incorrect distances is about 25 %"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"22.883333333333333"
]
},
"execution_count": 13,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"np.sum(idx) / points.size * 100"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Another way to check that the distances are correct upto $\\frac{1}{2}b_y$ is with a correlation plot. The dashed line is the maximal distance up to which the approximation used in MDAnalysis holds."
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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+vN8l5AzPLpFUtQm4GngJWAc8qaprRWS6iNhuBB4omRI/XEqL9rb9ijrIxo0b\n2bhxo99l5ARPB9qp6hJgSdRr0+Kce7yXtXR2B98Qf+i/rfrfsaZNc76FbT2Y5Gwkb46rrm3g3Pve\njDv030bnGj9ZwOQwG/pvsp0t15Cj5lbWJQyXK8cOtnAxvrMWTA6asWQd96+oiXv8yrGDmXLqsAxW\nZExsFjA5Jlm42GWR9y655BK/S8gZFjA5JFG42KTFzBk7dqzfJeQMC5gckWgztMKg8OHtp2a4ovz1\n6aefAlBSUuJrHbnAAiYHJNoMzbYUybw77rgDsHEwqbCAyXJjZrwSd0a0LW9psp3dps5iicLFVv03\nucACJkv99IHKuOFSVtzLVv03OcECJgsl6tA9s+wAm7Rocob1wWSZRGu52AC67DBp0iS/S8gZFjBZ\nZMjUJTTGWW/BBtBlj1GjbGZ6qixgssDcyjpuXrg65loug/bdi99eUMaIQX0yX5iJaf369QAMHTrU\n50qynwWMz+ZW1nHjM6tjHivqUchr15+Q4YpMMjNnzgRsHEwqrJPXR9W1DdyyaE3MY4VBYeVN4zJc\nkTEdywLGJ6G1XHbFuC7q3b3Ahv6bTsECxgdzK+s4N85aLqVFe9vQf9NpWB9MhiWaV1RW3MvGuJhO\nxQImg4ZPe5Htjc0xj9mq/7njqquu8ruEnGEBkyHjZi6PGy5FPQpt6H8OOfLII/0uIWdYH0wGXDvv\nXT7a/F3MY8W9u9ndohyzatUqVq1a5XcZOcFaMB6zbVw7n1mzZgE2DiYVnrZgRORkEVkvIhtEZEqM\n4/8uIh+IyPsi8oqIDPKynkwbM+OVhPOKLFxMZ+dZwIhIEJgFnAIcClwoIodGnfYuUK6qRwALgDu9\nqifTym57KeFyCzZp0eQDL1swI4ENqlqjqo3APGBC+Amq+qqqfu8+rQCKPawnI+ZW1lEy5Xm27miK\nedyWWzD5xMs+mAOBz8Ke1wOJpqFOAl6IdUBEJgOTAQYOzN4Zxcm2FHnqF8fapEWTV7wMGInxWsy1\nCETkEqAcOC7WcVWdDcwGKC8vj7cNs6/mVtbFDZeuQWHu5GMsXDqJ6667zu8ScoaXAVMPDAh7Xgx8\nEX2SiJwETAWOU9UfPKzHM4laLoVBYb3NK+pUbJmG1HkZMCuBUhE5CPgcmAhcFH6CiBwF/AE4WVU3\neViLZ66d9y4L32uTm4BtKdJZVVZWArbwVCo8CxhVbRKRq4GXgCDwoKquFZHpQJWqLgLuAnoA80UE\noE5Vz/Claf2tAAAKXUlEQVSqpo42Y8m6uOFiW4p0Xg888ABgAZMKTwfaqeoSYEnUa9PCHp/k5ed7\nKVGfS1GPQgsXY7CRvO2S6LKoR2HQhv4b47KASVOiLUXsssiYSBYwaZhbWRc3XGxLEWPasoBJ0bXz\n3mXxqtiXRWNL+1m45JEbb7zR7xJyhgVMChJdFpUV9+KRSXY3IZ+UlJT4XULOsIBJYMaSdTxSUcv3\nMRaKEuDndlmUl1asWAHA2LFjfa4k+1nAxJGo1TKsf09+fdbhNvQ/Tz322GOABUwqLGBiuHbeu3HD\nZWxpP7skMiZFtmRmlLmVdXHHuJxZdoCFizFpsIAJk2inxbLiXrYCnTFpsksk19zKOqY+szrmehJ2\nWWRM+1jA4LRcbloYO1zsNrSJNn36dL9LyBkWMMAfXvuYlhjpYjstmlj69+/vdwk5I68Dprq2gafe\nqefldV+1OWZD/008S5cuBWD8+PE+V5L98jZg4s2IFuD2sw7nolHZu/av8deCBQsAC5hU5OVdpHjh\nUhAQCxdjOlDetWDijXPpv09XZl08wkbnGtOB8qoFM7eyjpsWro557JoTh1i4GNPB8qYFEwqX6LtF\nRT0K+bdxQ+2yyBgP5EXAxAqXgMCvz7T+FpO+O+/sNDsce67TB4yFi+lovXv39ruEnNGp+2CqaxuY\n9uwaCxfToRYvXszixYv9LiMndMoWTHVtAxU1W/h86w6aw9LFwsV0hFC4nH766T5Xkv06XcBU1zZw\n8ZwKGptaKAgG6BIUmpqVQECYPmG4hYsxGeRpwIjIycDvcHZ2nKOqM6KOdwUeAUYAW4ALVPXTPfnM\nipotNDa10KLQ3NzCxJEDOaB3d0YP7mu3oY3JMM8CRkSCwCxgHFAPrBSRRar6Qdhpk4AGVT1ERCYC\n/wlcsCefO3pwXwoLAuxqaqFLQYCzjy62YDHGJ162YEYCG1S1BkBE5gETgPCAmQDc6j5eANwrIqKq\nsVZOSMmIQX348+WjqajZYq0WY3zmZcAcCHwW9rweiF5YpfUcVW0SkW1AXyBiQVwRmQxMBhg4MHkf\nyohBfSxYjGfuuecev0vIGV7eppYYr0W3TFI5B1WdrarlqlpeVFTUIcUZ017dunWjW7dufpeRE7wM\nmHpgQNjzYiB6lmHrOSJSAPQCvvGwJmP22Pz585k/f77fZeQELwNmJVAqIgeJSCEwEVgUdc4i4J/d\nx+cCf9mT/hdjMmHZsmUsW7bM7zJygmd9MG6fytXASzi3qR9U1bUiMh2oUtVFwAPAoyKyAaflMtGr\neowxmefpOBhVXQIsiXptWtjjncB5XtZgjPFPp56LZIzxlwWMMcYzkmt9qiKyGaiNc7gfUWNofGb1\nxJdNtYDVk8xQVe2Z7ptybrKjqsYdCCMiVapansl6ErF64sumWsDqSUZEqtrzPrtEMsZ4xgLGGOOZ\nzhYws/0uIIrVE1821QJWTzLtqifnOnmNMbmjs7VgjDFZxALGGOOZnAwYETlZRNaLyAYRmRLjeFcR\necI9XikiJT7X8+8i8oGIvC8ir4jIIL9qCTvvXBFREfH0Vmgq9YjI+e7fz1oRmetnPSIyUEReFZF3\n3X+vUz2s5UER2SQia+IcFxG5x631fRE52qtaUqznYreO90XkTRE5MukXVdWc+oUzcfJjYDBQCKwC\nDo0651+A+93HE4EnfK7nBGAv9/EvvKonlVrc83oCK4AKoNznv5tS4F2gj/v8Rz7XMxv4hfv4UOBT\nD+sZCxwNrIlz/FTgBZx1k0YDlV7VkmI9x4b9O52SSj252IJpXYpTVRuB0FKc4SYAD7uPFwAnikis\nxa0yUo+qvqqq37tPK3DWxvGlFtevgDuBnR7VkU49VwCzVLUBQFU3+VyPAvu4j3vRdg2jDqOqK0i8\n/tEE4BF1VAC9RWR/v+pR1TdD/06k+H2ciwETaynOA+Odo6pNQGgpTr/qCTcJ538lX2oRkaOAAar6\nnEc1pFUPMAQYIiJ/FZEKdycKP+u5FbhEROpxVgL4Vw/rSSbd761MSun7OOemCtCBS3F2kJQ/S0Qu\nAcqB4/yoRUQCwH8Dl3n0+WnV4yrAuUw6Hud/xNdFZLiqbvWpnguBh1R1pogcg7Ne0XBVbfGgnmQy\n+X2cMhE5ASdgxiQ7NxdbMNm2FGcq9SAiJwFTgTNU9QefaukJDAeWi8inONf1izzs6E313+pZVd2l\nqp8A63ECx696JgFPAqjqW0A3nImHfkjpeyuTROQIYA4wQVW3JH2Dl51GHnVEFQA1wEHs7qg7LOqc\nq4js5H3S53qOwulcLPX77ybq/OV428mbyt/NycDD7uN+OJcEfX2s5wXgMvfxMJwfaPHw76iE+J2q\n/0RkJ+/bXn7/pFDPQGADcGzKX8/rgj36SzgV+ND9oZ3qvjYdp3UAzv86892/jLeBwT7X8zLwFfCe\n+2uRX7VEnetpwKT4dyPAb3H2y1oNTPS5nkOBv7rh8x4w3sNaHge+BHbhtFYmAVcCV4b93cxya12d\ngX+rZPXMARrCvo+rkn1NmypgjPFMLvbBGGNyhAWMMcYzFjDGGM9YwBhjPGMBY4zxjAVMnhCRN/2u\nIdNEZLnXs8VNYhYweUJVj/W7Bi+4I7VNlrKAyRMist39/XgReU1EnhSRD0VkhrvOx9sislpEDnbP\nO91dS+ddEXlZRPZzXy8SkWUi8o6I/EFEakWkn3vsEvfrvOceC8aoY0bY2jj/FfY1nxKRle6vH7uv\nj3TXHXnX/X2o+/plIjJfRBYDS93XrnfrXyUiM8I+8jy3pg9F5Cfe/Q2bmLwcGWi/sucXsN39/Xhg\nK7A/0BX4HLjNPfZ/gbvdx33YvWbz5cBM9/G9wA3u45NxJt/1wxlWvxjo4h77H+CnUTXsizPXKPR1\ne7u/zwXGuI8HAuvcx/sABe7jk4Cn3MeX4Yw03dd9fgrwJrvX3Am9vjys7lOBl/3+d8i3X9a8zE8r\nVfVLABH5GLcVgDMc/QT3cTHwhLv+SCHwifv6GOAsAFV9UURC64OcCIwAVrpL73QHotd2+RvOGjRz\nROR5ILRkxEnAoWFL9uwjIj1xJqk+LCKlOEHWJexrLVPVb8Le/yd119wJex3gaff3apx5NiaDLGDy\nU/hs7paw5y3s/p74PfBbVV0kIsfjrJMCsZcQCL3+sKreEO9DVbVJREbihNFE4GrgH3Au1Y9R1R0R\nX1Dk98CrqnqWOMueLg87/F3UZ8eb8xL6szVj3+8ZZ30wJp5eOJdPAP8c9vobwPkAIjIe51IK4BXg\nXBH5kXtsX4lae1hEegC9VHUJcC1Q5h5aihM2ofNCr4fXcFmCWpcCPxORvUKfndof0XjNAsbEcysw\nX0ReJ3IT9tuA8SLyDk7fx5fAt6r6AXATsFRE3geW4fTzhOsJPOcefw34N/f1a4Byt+P3A5wZvOAs\n6/kbEfkrznq6Manqi8AioEpE3gP+o51/ZtPBbDa1SYuIdAWa3cudY4D7VLUs2ftMfrJrUpOugcCT\n7vKbjTiLdhsTk7VgjDGesT4YY4xnLGCMMZ6xgDHGeMYCxhjjGQsYY4xn/j/21NgU3VFG7QAAAABJ\nRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fb01822a710>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots(figsize=plt.figaspect(1))\n",
"ax.plot(d_images, d_mda, '.')\n",
"ax.axvline(.5 * b[1], linestyle='--', color='#333333')\n",
"ax.set(xlabel='image search', ylabel='MDAnalysis')\n",
"fig.tight_layout()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We can also use different points in the unit cell to confirm that points closer\n",
"then the shortest box height are correctly identified."
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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w4AB33XUXP7lvGZebVVoFZE6xHxjkyaHYKbzXXcjsojQzzsXKeZcic3NQYTHe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\nWMIjWZMiaiGsnJbL83tORmj7Llli5bRc83laK4b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mrN7m1kSsAEjxJvwbmuLKBs+cn/CR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PZwj1kLra3gZuBkWWZwpzi1sEOQs7p7lF7K5ZEUQt/8Ibm5ieviHXZmtmbNGppOR7k6+zRgBReX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x/8gNcfnuUQwEaL8aEu0XY+qWjqNcbb+e7RVDAMUW3vZ4x/c3dNyCPG5PttlSofX/s4o7Yv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\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NHBcXFxcXF5fzDtfAcXFxcXFxcTnvcA0cFxcXFxcXl/MO18BxcXFxcXFxOe9wDRwXFxcX\nFxeX8w7XwHFxcXFxcXE573ANHBcXFxcXF5fzDtfAcXFxcXFxcTnvcA0cFxcXFxcXl/MO18BxcXFx\ncXFxOe9wDRwXFxcXFxeX8w7P6bw5IyPDyM/PP0eX4uIyNBQXF7cYhjHybMdx5d3lHwVX5l0+Tpyq\nvJ+WgZOfn8+OHTvO/KpcXP4KCCGqhmIcV95d/lFwZd7l48SpyrsbonJxcXFxcXE573ANHBcXFxcX\nF5fzDtfAcXFxcXFxcTnvcA0cFxcXFxcXl/MO18BxcXFxcXFxOe9wDZxzTHFVO79bd5jiqvbTOnYm\n4w0Ff4/X5PL3z8lk4O9Vrv5er8vl75+hlvm/V3k/m8/9rTmtMvGPI39Y+RY7D1Yyu/AyBtQEtOP1\nlJfuIT8jibwRiQBUt/XSNGwanvhELhzeT6D5KACrSxvYfKQFDPjNmHms+MplxHUdY//+/VS39fLH\nLUfRdIPfK4KnfvBVFk7M5MV3N7Fph3N8gFtvvZXiqnY+97Pn0TsbeVRRuPuifPJGJOLxeLj55psB\n2Lp1KzU1NeEbaK8iobuS6xdfCH2tbGoeTn0wxXGPKSkpLF++XI7/o6fQejv4nRBMzkrhkkkZzJow\niqVLlwLw6POvsa+ijvyMJAB21RynpEmjP2MqPo/C1yd1MzLesMaubuulRU/k09cuZd7YNN588036\n+/utY5UtPYwaPYbUsdMpHJ9OVfE6gsGgdSw/I4ncMfm0J45m4bgRVGx7n8TERJYtW4bP5xviX/tj\nTM029m14nf0N/RDoAW+S/P+Iidz8pW/i8Xgs2Uz0eej1By0ZDY4t5D9e34vSehRvbxPXzRzF/Pw0\nADweD2PnXc4dj2+FpkP8vr+NL1w8DoDKlh6mjErn61+4HYBNmzZRX18PSNl45sNKAkoc/ztmNs/d\nU0hnxS6am5sdlz1ixAiuuuoqICyb9uubPzWfJUuWAPD222/T3d1tfba6rZenStrpGzEZVRVc7K3k\nguxEx7xuE6nccs3lzBubxn8/8WeKK1vZWX0c3dB5VFH4t9uWcOe1SzAMg5UrVzrkNm9EIpMnT2b2\n7NkEAgF+84fnrGPm/S8pnMunrlrElgN1rHj5Nfk50Qxth2HERGYtuYEpU6acox/940txVTubyo4R\nrJQl8ZUtPZbcXHXJAj655EI2llbz0mt/iZL3efPmsfKgn8ff34OvsZTfKwpfuDjfkpvCwkI218MP\nXtyC2ljGo6rU1eZ5rr/6Cq6+cBrHjh1jy5YtQFjeg7rOb3Nm8OzXlpFudLBt27aoa1+6dClpaWkc\n3vw6JZvegRET5YGQzCy/859ISUnhwIED7Nmzx/qc+czpzZ6N6ovj6pwA4zztjudMdVsvcRMLuWhS\nFofL9lnz/Z199QR1KfNP//AbzBubxo4dO1i/Y59D3iOfRVt2H3R8t+Z8L65qZ+Wq1WSofeSNSLTm\nzfSxWfzzXZ8ast/ZNXBOwFsf7uH/fvYDAN6p86Gn5hJXu53kA6soinhv20X/Dz0xndertpB4aLX1\nenLo/62Z0/nXV/YwonoDFZvfBCDB9vlXiq/D4/Xy4ydX4qv8MGr8W2+9lVdKahG1u0mqKwHghf3y\nWFJSkiVUb775JmvWrHF8dmRckOu7ngUEr2wfxebGBMfxsWPHsnz5cooqWvEc/ZCE47LFQO0BeGED\nrMubQLlnHGmJPh578inUznrH9XnS8tHTpxII6rz8/DN0tTQ4xvdnTOH1+hQevG4G//er39DX3eE4\n3p99Ad0FKh5FMHL9rwj4+61jRYB/zIV0T70OnypIfvfnAIwfP57p06fjMgTUbINnbmBLaSJPHBoR\ncbCY668oZLevwJJNE1MG2pf+J5oBCQ17iK8r4YMD8EHoWHxCIpd9axJ+zSClbidxjft4oSw8+odx\nKVx0xdXMG5vGyy+/bCl8gDhATcygK2cmRRWt7F6xgpKSEsfVTZ8+nbRJ83i1pJa3nngKT1e94/pK\nZsxiyZIlFFe181//8/so2VQzpmCMmExQM9i77iVK/d2O4wPZF/BqbQIPXjeDZ5/8PUILoORNUgAA\nIABJREFUOObtW+/0c+e1SwD4+c9/HvXdFCy+jq+njaWvt4cXnvyt4xjAur2VHPYP55l1e0ha98eI\neV/M/YEAkyf/G0IIXIaG4qp2PvNkEYHu46Rt+m3U8Q0H6ulNyOKHL6wnadMfrdfN3+aqO7/CC03Z\nePo6SD74NoBDpu/55gP8ojQe0d0aPr4/fHxdTYA/ZWbTXXnYITNxof+6krIoqmhlfP8hx3GTmZkK\nad1b2PXqa/x8TwZQbL87CmdPIyU3k20vPs7//GWX47MJQG/GNIKqj3UbNvLR0Q1R47ddMYz/XX+U\nuLK3iava6rg2gKKKzzJvbBrPvvwGm99/x/HdxCckUp82k8Lx6fz26Rc4WLzFMfaHcSn0ZM3i6a2V\n+La/jq/lkPN4UgYXXnI5F45Lj7quM0EYhnHyd4WYP3++8XFqAvXlB35GyeqXOV74z2iJ6aCooAUQ\nmh9VwFeWSMv5t+sOY3jiQ8f9LJkwnIGgRlFFmzWW4U0AoYDmJ44gF03IYH15eDV6xyVTEULw/JZD\noAdRBCwYN4L7LpsAwOoj3azcUUNwoB/0IKqA7y2fxi3zRiOEYPjw4QB0d3cTqPwIXrwLgtJQEMJg\nuE+XxwMKgQnL4Ogm0Pyg+lDueI63uibw4vZq9h5twDB0x/egKAqGNwFFCAx/L7ruPI5QwJtAnFfh\n8dumo+s6xVXt1Hf08drOY+hCRXjiURSBMdCNogg03cASPUWV3x/gDfZyycQMNpQ3YwACMBQPhicO\nYRhMq3mDgcYK3nvvPTye2Pa5EKLYMIz5p/2DR/BxkXf/up/j3fBT+oM6/VpE1FooDL/me/xe+yS/\neGsP6EHH4Rm5qexr0eRbgwNRx32qYPEF41i9vxER7AddY0ZuKmX1negGKEJw+yVTyR2ewKyseILB\nAKv21PHm7joCmgFCoMYncev8MSyfMpyCnGTH+Hvrurj3hVL6Azoi0AcRsvvpC8dy20WT5QOtrxuv\nIvjOsikcaOhk65EW6rqCluwJfw8CEAIMAwwARUV448lMiaOppQ1TZAXg8yj84YuLiE9IZOuRFirr\nmqS8GzL2rygCTah44hIYMzyOirqWqO/eUL0I1YdhyOv/oucd/ll9EwV576XxF/LzIoNf/c/vmDhx\n4qC/oSvzp87v1h3ml++WoqOgBPqIfAIqHi8XTcll88FGS4ea3DJ3FPU9OluOdoKuSZm24VMFNy2Y\nwEsl9ehaEBEcwKMIh05TvHHcXjierGQPM7PiOdzUzU/fPYCmyytR4+K5dcE4bijIZEpGhJf6WAkp\nr34Gj95HvyboC0ZnmaRccA2eig/oHwjQRxzc9mdeacjkiU1HaOryO55FihZgem4qh5q6CQR1DMDw\nJspJEBxAhOazqshJ4VEVnvvqlQD88u09FB1qxABUAZ+cM4pVe+vxKwlSbwf7MTQt4uoE+BKlbg/2\noxoaF44bwbajbegGCCHIK3uez958Lffcc8+gv+GpyrvrwTkBjWXb0dLGoiVnhl9UvaB68XgVlswc\nx8GGLgxfve24j/agl9sunMDW2r3Rg6o+BvDhTUzBm9hPIKjj9SgUjBrOQ2/uw/BIW1kDttYOUPzS\nAXRdJ2jq7dDxIPCLDbUkpgyjvddP4XiDeWPTSE5OhvZdoPaBqkedPtmrQ8d+UHtBNUDo7Nq1jgf2\n9Mo3eBOiPqMBGKAbBsKbQCybWBFw2aSR1PYIHl51gIGADgKEL4mQrkY3DHRvkhxPjf2dBzyJbKzq\nRfdJN74Q4FEEAc3A0IM0Hinl0suvHNS4cTl9fruxheJNo/nTJVUkeOwKSQGPB8ZdRlqdz5JNO7mZ\nGZS3N+HXjJjH/UBGShw+j0KAeLwehUumj2VfSwUgZWvFtmoMA7weJSzraiKoIQNXN3hhWzUv76jh\n0/PHcPPc0cwbK0Nge3e14g9NDiOG7JbU9XHwL6X4gzq6JxFDwE/WVqMZAB55fyEMX1LUww6ksdPQ\nOQAhmQQpl5dNy6KqQ+OhZ4vwB3UUASIuCXRAyHvTDfAHdY609Dk+7xgfuF1dx3LfNsqMfNLiPCi6\nHwyNDbsqaG9NZjQNwOAGjsupk+/rIW3Dz+m+4FYCGRMd+kwAXq/C8oIcPjzSiqY4f7O4pFSunTSM\nLUf3yoVZxG86ALT16fg8Cn48KB4vX7pkHE9tOWrpNBR4YVs1ugGqKtA0A8MTDhMZMKi8s28XGH4A\n4lWDeDXSgAAa90KwXx4XBrv2bOBHexYCXvB5w+9TfeiqTy5QlASIjPh74jBC89kQcOW0LDJS4jjY\n0MUP3twnFyC+JASAIujU4/ArCejm96nGD6rnAQxPPLqAWeNHUdwQQAvqKJ11dDfV0COi5/KZ4D4l\nBuHo0aPU1VTin/oJx+sCmDl6GJmp8bxaUhtTIY7LSOLOhXkAPLXlKH3+IA2dA5aFDvDBwSYun5JJ\nZkocN88dTVFFK0E9ejR/MNpIsY4FdB58Y580PITgyqmZfGvacaZ21IaWoYN8sKM6/Lfi4Y3j46Lu\n0SRyiMEcfroBq/c38n5ZY1jAjfDnhSJQhbBWCfZz2f+tCEIPn/C4U0Ymc6ChC09bBULz0zdyxiA3\n5nK6aJrGmi3FTE8IoEZGQUbNgZRs2L0CX/BSIo0XgCVTMrlv8QQe23CEipYeRiR6Ka4+bsm6AaTG\nefjUvNEIsGTd/rub8hJL1lXT2wf4NYPnPqrmhe01XDk1kyVTMqk73hc2gGPc3+HmHutvRUiPUax5\n5lFgRu4wdtd2RB2LhSnva8oarTmhG+GbGkzeY3G7spafeP8AwGViL2L0xRDsJ1BTwgf1SSzO6iG+\n/iOYeMkpXZvLiandV4TQ/ASTM4kUhbHpiVwzI5v2Xj9z84azvdKZVJsS5zlr3a4bYT0a1JwXoIjQ\ncaS8P/9RNSuLa1k8eSTzlEPcrB4hU1FB02EwTXqK+t3hqTwJugFrDzSh2+a187jB+oNNMpR6GlEh\n3YAnNlUwb2wa2yrbiWvciyFUtOyh0fGugTMIrWIYXQvvwx833PG6RxWU1nVYilAR0j1nl9PXd9UB\nkBTnobq1h6Bu4FEE4zKTOdwkY/xBzWDN/kbivQo3zx1N4fh0S7jtRBoAEzOTqW7tQdOlUWMqfwyD\nlrJNjD3yCIYISiEWivywosCYhVD1IVGTYs6dTBp5JVSHvU2XTsqguq2X2WOG8/beevza6QlsLAzd\n4FMLxiBAhto0AyFg3tg0dtV2ENR0FCG4bmaO9f2ZlDV0oQoIZEzm+IJ7WdeaTHFVe3hV43LG7Nq1\ni+a2Dq6e2xl9sG4XGBoGcKP4My95vs+24CTHW77/+l5umJXLBwea0HSDWq/CFVMzWbO/0XrP45sq\nMAyIs8m6qkCkPRMp67NGD+O2C/N4eFUpA4GwoaDpBqv3N8qwFzIUdGF+GjtrjhPUDDyqYHpOqsNY\nEcDFEzNYXpDDQ2/us2RaVQTj0hMZPzKZJVMyKa3bG3VdJ2IwXR4p73K+Qn5GMpWtPRi6gaoqzBo9\njOXHZCKptSap2gJC4aPmBDoCKstGdUHC0OQkfNwxDIM333qXwPB8tLjUqOOVrb08urHCkisF6ZAz\neXRjBQ2d/aet2z2KwK8ZUsYHkRlFwL2XjufprZWWvBtIw7+1bBN3+x7BSxBdVVEyJkPbEdA1UH0w\naSkceItzpd+FwGHEOb7T0D1pusEV07JYFzKEPKpg9pjhFFe1YwCekLxHGo2agXzN0IlrKCWQPoHs\njMhcwDPDNXAG4aOjbfhTcqMs1ek5qeyxKU49FH6JJPIhrekGC8eNoLKl26FA/QGdoopW0hJ9MRWr\nQBpVQc3A61H42S0zOdjQxTv76pmRk8oTm49agleolOEjgLCuWoX5d8OsO+Q/n7kBtIFQnoIiw12z\n7mSKnsLS6Vk0dfYzLiPJuvbK1l6UQXIbM5J9tPcGpOLmxKsAgXyQtHQNMDIljoduKGBfXQcvF9ey\no6odjyK4aloWBnC0pSfmGDqAEARTR6EaUFTR6ho4Q8Dq1auJ9wguzYzxvRuh3BpA0YMsFGUcTppO\nW0/AeotuOGV9IKCTmRKHTxWW4rQ8NKcp6w9eL1dxt8wdTVPXAGvt3kHzEpFzq6T6OA/fWBAK10pj\n4I4niiyvkFcV3H/VZEtmXtxeTZxHoaTmOIebezjc3MPaskZi6XoFmJ+fZnmmTibvihhc3iuau/Eo\ngk8vyCMlzsO7pQ28oy3gMmWvfPCZ883QWV2XQopXY1FmH/S1nuCMLqdKeXk5jXU1DEy9/oTvM+VK\nxPixT1e3F45Pt4ykqHwfYf5f8PCNBdy5MI+89CRe3F7N/vpOgiHPZKFShpcgHqFj6Dq0lMt0ifmf\nC+v3w2uHTL+PGh5PU9cAgZBRNiLZR0uXP+Z7PapAD00cAdY8TEv08fCqUhmKUwSfKMhmV83xQb9v\nT0ct6kAHfZOuor039rlOF9fAicHhw4fZ/tqTqOpMgnHDrNc9iuC2C/Moq9/nsHpPxSMnBDR3DUQp\naEURFI5P59fvl8f8nAF8ev4YRg1PsBT3w6tkTsFHR9uwT5kifZpMnEOTetIwYNhoGLNAvuHuN6Fy\nk1wN9rVC/qUU65P4zJPyQeDzKPT4nTHdwTwyo4Yn0Nrtt64x5j0jVwtxXpW1ZXLFDVLYr5iaSVDT\n0Q0I6sagDxcTb9NB4loO0jdpKZ6EJOu7cDlzgsEga9eu5bKJySR4Ir581QeGgaEHwIAgKh9qUzlu\nM25iYQCHGruI5QQ5E1k3ZdOjKjEfNia6btDe6+erl4fzVFZ8udAKI98SymMormq35o/A6XkdTP6u\nmp7FrDHhcMWg8i7gxlm59Pi1E8q7phs0dw3w3EcylFDJlRCA2z3rmakcRYQSpa8e1cXsEf14vXGQ\nf+kgZ3U5HVavXo2iqASypjleVwWoqkIwqDtkdyh0e1FFK9ogwnXBqGEsm5FN4fj0KPlUFGGFkYr0\naQTwIIwAigj5dnTtnOn3jOQ46o7LBGoDYho3Arhxdi4LxqXz/df3ooXCtusONvHp+WM4drwPfyhE\nq+lGlGEYGbHQ41PpHXcZ5EwbMv3uGjgxeOalN9j74Vr0y+Zar3mUsIU9JTuFRzcc4YMDTRi6gaLE\njuvbMRCs2d8YlW/y8I0FzBubxvKCHDYdiq6y8KrCUs4gKwD8Qako7fF9AWijLuTY5B+SX/Qg6Lq0\n4O2KccyC8GQIUWQbzx/QOdLkLJONhc+jcNuFeZTW7XPctwAumZRBepKPN3fXoRtQdLQNLaTYTTTd\n4IMDTXgUYcWgI+e/IuCGWbms2lOPbhgkNuwitbeOe5d/m4smjnS9N0OAYRh854s3MWr7T8IvChXm\nhb1+LZv/yPtlTbwSvITdTCF2pouTbREuaNODN5SyPnP0MBaNT+fJzUfRdQOfV4lSivPGpkXJSVFF\nqzXmqeDzKNy3WFYyqhHzPJa8v72v4aTyLoQMc9t5Ub+Smdfez2z1A3j722DoXJyjwZzbYNadUfPW\n5cwYc0EhvdPa0b3h5GBTt0/JTqGoopWuvoAlV0Oh20HKdqxQ0G0X5lk5PeCUTz3kPQHYaUzmB8Mf\n4TvZO8k8vDIcmvob6/d3Sxvo9WsOeQ9oBis+qsbrUVAGSckRwI8+eQGAlUfqSR7BJ+/8gkMHnC2u\ngROBYRhs3riO4Ihx6KEM8UsmZTjc2/PGpvHE5+ZTXNVuudztcX07pnLXDeejwW4wFVe1097r558u\nG09pfSczclLpGgg6Vp4mhePTZYZ+hJJWVcHPFvaT398Pi74GDXtg2o1S4Gu2Scs+/9KoCWCOFwjq\niEESMO0oAh66foY1Kf/jjX1WiEwRMCMnVSoHMywxSEKDoRssmZ41qOfGMGBSVgov3pfPprJjvLjh\nMNfeeCNfv3LyCa/P5dTxer1cM6YfDvWE3BJCGjfX/bf1npF3LGByVTuXV7Ryc8jl7A/oMT00kQik\nYrdXggyVrJvhq4qWHho7+7ntwjxrfDMsEEtJmmPac3rsTMtOoayhy/r3JwqyrXEevrFgSOQ9qBsc\nO+4sLzZAuuUv/zxkTWfNa88xecFVjC08cSjF5fQ4ZqTRmzsPw2BQ3Q6wdEb2kOn2oopWK0wpkInK\npfWdLC/IcRg3IOXToyrhysDQeeK8Cl+8ZByZjaUwaRkkj5SGL8CmX8bU7eZ4Q6XfVQUSvCp/2VPv\nCDs3dvZHjWMAQS18D7GOmx7XKdkpvL25hDEJAT57/bQhrZB1DZwIDh48SFdLA/3TbgDkD7G8ICem\nsrSvEKdkp8hGfIQFeEZOKikJXisWGQi5HafnpLJofDrtvX5++nZZSEEa+DwKz91TeELrdd7YNJ67\np5Bfv1/uWAXPppyJ7/wEXR9AYCCEApVbYO+LUP2RjMsqKnzilzD/81HjFVW0cqixK8qNGBkV0A3Y\nF1p9mt6sxzYcYW2ZXME8acsJAqkAVGGrFggN6PMq0nU5WJImsOFgE8eO95HXe4iA38+yZcsG/V5c\nTo+BgQFeeukllufGk2HYMgSyZ0W9N1LOTcXf3uunqy9gyXrnQJCXi2vRNB1VVVgyeSQZKXHMyB1G\nUUUra0obhkTWDQPWlDbwxKYKS37KGkqpbu2xXlMF/PCTF0Q9QMwxXymptUp1TQTQ2OVU1m/uruOu\nRfnMG5t2TuV9rijn4vqPYMd4etobeOiFbdzYP4p/cQ2cIWP16tX0NIeN5XOt25//qJqH/lJqtQJZ\n8eUTy7t53k/NG83zH4UroYSABwq6mPj2P2MYAenVUeMgbhh8+L9h3T43lI9jM3SGQr+/WlJLU9cA\nG8qboz1VEWkbipCvGXpsz7ydrr4A//7aXgygZ/c63v9oE3dce7lr4JxL1qxZg1BUAiNljFaBmAlP\ndu+Nmdj4yE0XWF0y/UGd7ZVtlhI3BWXljhr21HbELEf1B/WTJs+a511ekMPWI+HywwXsl42bhNlA\nT5cJZ1XhzrPoQen+zpru8OzMS0gnu7uWb+xNBpxVMrHk83BjF3f94SNrBTJrzHBL8HXDQFUEhmFY\niXPmQ9EMIZh/v1pSe4JfQoY6tlW2M2zPa4wckc6sWdEPX5czY+vWrfzmN79h0n1LyLBqRZToZNaQ\njByIn8Xa7nwKx6dbeS6xZP2WUFmsqfgH85SciqybjBmRaJWLg8y3eXxThdMtHtR5bGNFuNLKkKvP\nKdkpDs+OOV9T4zzRLRDAkUAN0ph6bMMR+gLaOZP3uaKc53yPEFcegHKDjbWpDPizWDZ7zEm/G5dT\nQ9M0fvnLX5KcOwGRda0sLuXc6XYrVzz0f39Q59WS2pPKu7nXk13eDQOa9r6PUAPhghbND1t+Ez6D\nHoQdf4RdK2QuzhDq93lj03jgtb0O76Q97GwaQpEyv7vmuJWHFgurQEYPkr5xPYsuuZS4uOhWFGeD\na+BEkJCQwMLLruD9hGQCQbkSPXa8z1GWbAq6XXn7Qha6PYbqD+r8+v1y7r9KhlWq23oJ6oNnMQgh\nTphcZT+vqggumpDO5sMtGAZsZzoaCqrhdG1GYegyXNW4Xxo7ugYY5CD4s8fLZ/QHKDGiw0Bmgqei\nCCvHwlxVpyX6Iu7J4I4FeY4GVfaJbf97ZXEtgeDgrkyAYHwa46YWoCju3rBDxXvvvcfw4cOZv/QW\nePZZqTAVD3TUSMVoKshnbsDQBhire1jrf4DfqFOtlahd1gcCUoH/+CYZV//1++VWgmEsTibr4JR3\nCMtzZC6MeTAy1q/rBkUVrRxs6OLBN8L5BCergrKfy6MKS0kPqbzbrteskFFCo75Xl0xWfJCZccdO\ncpUup0pJSQmtra3c8oV/prRUOee6fbCwzIk4kby36MkoKlalnew3ExkONeQ83v087F4BO58FLQjo\nZ6Xfp2Sn8NKOGsf7l07P4r7FExzyHinzxVXtrC9vDoXHohOaTQPO13oYEewnZcJchhrXwInAbA9d\nXNVuWeUvbKvm1ZJay2I3Bd3+e5kW+s1zRzvyBjYfapHVToYxaDMykyumZkZZ+PacgqKKVmviBXWD\njYdaLEt63sVXs6HoL1wldsjErphnENK1mZAeMm7CbfUVDLwEKVTKKNGcE8CnCh66QZb+rS5tcHif\nntpcQc5wZ9dJXYfc4QmOe4mVGzFvbBoPXT/D8fCxXal1D4Fp1/BP9y46wTfncjr09vayceNGrr/+\nejz5i+SKz1SIxX+CXS+EKzI0P8LQw7IRnGytRO35Agay38uM3GEn9NyYnEzWzXkWOY6qCO65ZJyj\nPQLENlo8qiAt0RclX5Hvi1xt2+X9tZJaR7PAF7dXk5rgdXz+TOTdfu1mhYxCgC6/YGtzIndO6EYZ\nf9lgX5/LafLee++RmJjI5z55NfMW9f3VdbsqZI5ZJIPpd+tzIXn3FfWgh8YxAPIWyX5JDhQZqtr5\nvDR0bCOdqX5/cXs1BaOGRTUkHJkSd0ryblYyrtxRE5XHZFZR+Rr2oXsTuWnZkhN8g2eGa+DYaGxs\nJDMz09rYzrTKzSoO06UemQhmYhCdN2CAVZJqukXHj0yioqXHYdH6VMHlUzL53brDjpLB2x7fajUv\ne/iGgqjVq4FMjJ7oL+Mqz26EHvLeCCXawhcKTLwSGnZFHTNQCOChSJehObPR1RVTM/knm6Xe1Rdw\nTACzh0jk95CW6HO4eq3SR1u/B5AuYj1Gmr35fXl7mvnBnUvcqqkhZOPGjQwMDHD11VeHE9BBevMM\nTSpHMyld9aEHBzAQtBlyHyjz14rMFwhoBi9ur7YeEGcj6y/euyjUENAp77pu0DUQxKG8I1aHpuwY\nhryeyAZl5nER+qxQhKyYEU55L65q51drDjo+Gyu0fCbybr+iEmMyP9I+xw+9T1PW4UMRcPWtX3Ir\np4aIQCDABx98wOLFi4mPjwf6/mq63VyA3nPJOIoqZPjX1GU/fbvM0QTzwetmxJT3lAQv114yE+XD\nF2yeefMvu+ALGDEemsuJNOPPVL/vru1w9H0zWbmjhptDBtsrJbW8XFxrNWu1y7tpNMZMbjYAQ8fb\nXc/shZewYMLI6PecJa6BE8IwDL70pS8xbuoFpF58Jyt31FhWuUC6BNMSffYPOBSlWeJqMhBw9hsw\nGyqpiqC6vQ/DkK/lDItneu4wLp+SyUOh/T28qmDFvYt4bMMRy3IOarIV9sM3FvAfoZ4D5rhej8Jl\nfe+j6Lb8gVi1eYYmu12qPhmO0ILy4gs+hcicSlX8LJL2pKAcbgm1nTeYPWa4w7joHAhGjxuBApTW\ndTiUvNlxWTcMHrTlRphdPu3ftemBEv4+Uov+j3VJ9Xxm0b+d9Lwup0ZVVRU5I0cwq+YZWPWcNGwU\nNdT5OpSwaFZlXPNTeOvbCEPjB94/U6Hlccvci6yxUuNsezkB++o68YTyB85G1h/bcITHPzefey4Z\n58it8XoUmrsG0GzPHyNCx1tt8PWwQWIq9Hl5w5mUlcKMXLmHW93xPlaY+wLhlPdXSmod5xmMs5V3\nVRF8enoSyiGDwpG9rFlWSVKGG44dKqqrq+UDPucCnv+o2uFhPFe6XVUEkzOT8XkUFo1Pt7oTm3kr\nILsih8fUae/1x5T3wvHp5O897LypqiKifJGGBs0HscwtRYWcmZB/KSI+9Yz1eyzPlKYbvFpSyysl\ntQ6vU6S8gzT+FSHz1CJ1PCh0LvoqMxfnxzjL2eMaOCH27dtHQ0MDlZkX0/NRtaPnhrlR5MOrSq1k\nKjPeKpD7l9x7WXjV95kni+gPODVjQaihk6lQQ/LFseP9HDvez/Fev+XC82sGr5TURpXfNXb2MyU7\nBVVV0IM6qiq4LVSCm7n1zxF3NJjDVCZ1MWU5lL8r/etlf4EFX2bqmAXcn9nOR0fbrBi1PU+iuKqd\nl4sHTwwWAoQRrhixynvNmszQJWm6vD9rYoUCwGZJcWqchyc3H8XTfABhaFxz1ZJBz+ly+tz3iTl8\noeEHKCXbCP8ohq0lty17q68VBQNFGAiCfGl0uAqjuKqdJzYfdYyt6wa3L8wjd3jCWct6cVU7T2+t\nRAhpRFw5Tcb9H91wxPFeu6Sbxo19basI2VCtrL6THVXt7DnW4ShbN/Ni7PJ+Mlk3xxXIh9DZyPst\nc0czu7kJ45BAoJAc74VxbnhqqDjuGUH9ovt5qUrn5dp9lvF5LnW7phtWu4F9xzqsBWlQlwbAjFzn\nNhFCSEPgfz84FCXv88amwdbIZN1Iy9vyW8qFSu4caNgrt1tp3A93v3n2+h3ZosHQDYfMRz5pgrrh\nyE+S3YwNy5OVkuC1eg2h63h9Hi6dHh2+GwrcZUKI1atXI1QPvSMmRxk3hoHDlWn2FlCQIlXd1svD\nq0otF3WsXhg9A0G6+gIYhLaej+BIRJhHIJtA2VkU6gIb1KRQ6bpBdVtoF/DkrFO4SyGFX/XJPgqG\ngay28ofDFBB+StiWxsVV7Twc2pV5UAy5Sn7wuhncEopXqwI8oe/K9jZeLq61vi/7/bR0DVilt3FN\npaSmZ3LLlYWncG8up0IwGJSbZxr9YJd0QShsGTKATXkIhakMoeI3PDxencNnniyyctSiwj9CdnU1\nE3HPVtZNo8EA+kIr58yUk1da5KYloCoCRcgk0RmjhkWFJCxiyPsrJbUOWR89PD5KWSqK4LYFeVb1\n2JnIO8DRnevQ3/lXXvz/7L15eBTnle//eau6JQQIIRYJBBL7ZrEZYRZjDLaBeMHgJd5wEi+D7Ww3\n40xy783icH0dX0+S5yaT30w8420SOxODdxsbGxvwCphVrBIgEEIIISQhIQmhrbur3t8fb73VVd0t\nVmHn2vo+jw10V3dXd5331HnP+Z7vOdSd+9YPoGn2Y53lqQ6CZVm8nn+ENktgC9O90Rp8cb7dlv6G\nD1tKMnt08R2zYEIWKwuO+TSf+qYms7Gk1umsStgyEkXPbCXSKQzFs+w/Pr7krHG+/h01UiKRzZsx\ni2PdgRrufm4jbzjryJaqSnKyLUJFfQt/Xn8IGWqh5/o/cueAkxeNgtCZwQFs2+bpekp5AAAgAElE\nQVSdlR/Q1ms4dkAZnjYnby1Vpwu9tdj1Trov7BDR2subKK5KSTvPQn1TtF0xaAo3he4VRPMOYdPn\ntvZADRsO1vLipQOZesZJrlItgmt/o1rFd7ykjN+jiOndwVhOFwrAXc9sOONQNomK3gsqGlg0NYcl\n83NZWXCMLs6oBi8sy+9QwhGVvtXTyEWomUDtQXJm3eByojpx4fjx/bfTt7GAJRO8Ybz02I3wK6Rm\nT4F73mbjR2/xf4v6km+PxJCqgyQ2VQ/RKdt6EGYii2lovjBbX3zFEB/vRgDpXYOcaI6WaI/VR0sF\nS+bnuq28WpPE286ayN5ju0YqT7bG7ZkjlmRzSa0rUHg+9v5afjmX8DcwW1l1tA+tlqCbbKQTHYP/\nfHUF7//p3xCT7kF2VQMcM3uoMQTa5A0urm/XzZ+63BkwDWaPygBUptJbwnJLOIZwaRKmIfh4YDM+\n0YDumXDKY2P15dEP6wD/HnAyNV6XrzM2R5xNdazNewfsSqLq47H2roOo5Op9GK31yC7xQ087Cp0B\nDvDqqvWcqj9B29ir3MdijVkIWDI/18cQ11o0oCYDv7r1iLtLPFdo5ymA2aMy3Hq+FkR7I6bW6cV4\nWcT4gt8gRVTaG2FGd+ReSKm0TpwbV6zCsVc9VgjBgarGhAz40+HlLWWMdbpp9ByhWCKoYai698aS\nWpbMz6WuOeTTTUg6vg8hbRZcf+1Zf24nTo/a3WvYtOcw943war3EXFchlIOMySDk9OpK0DQwnB3v\nOodkeTokel7gD0zO1dYjtuTZdYd8+1nTFEwe3MunueGKuUk1o8oreObt9PDaO0LwaVE1qwor47pG\n2uPiFB9v4o5nNvDYgrHnbO8V9S3s27KG24Kfcqw5wK66FH44pr5z7lQH4q0VK8GOYKf0BNQ1iVWR\nHjcwjSU3XjzfDsLN1glg1si+PpvPHZDmK/Xo4EN/1nhZREbVZ0ihN94G9B7uD3B0eUqKDvHvuTFD\npb1Ye6CGLaUnWDI/1zc3y/+N1eZCgM/el22OChgmV+3GTunJjbOnnvtPepboDHCAKrMPDRMWEUkf\nfNrjvKJQeiiaZat5JTnpKXHdIucKgWLTZ6Qm+2bw6Da79t5a62j4TEw4JDMr4pBjHAJp7O485kaW\nNyide6cP5pm1JUTs+AFpgDtfpL3zsWx86VbLshnSp5uv28qyJI++U0jEUjeEb+b5a7Bt/cczceQg\nbr6qM1XfUfhwxavYCOZlnWYejcQv9udo4QywQixNCvKzXo/zSlXWGYMbaF9vRgvjBQPnbutAXFlM\nShUofVJU7ex4wTAMLMufrUk0m0rb+9OflWBLGTdHC6L23h4iljwne08KqI6Zo/UtXG7uw8RmzTE1\n1HfuvDmd5akOwqlTp6g5sIO2rDzl/9rB2AFpcS3PHenbpUcMMpHN1yQY1On99zRjLya2x79LKN+q\nGkXcBgFTlZY7wL+bhqCpLYIh2lciDkdsn83bCQ6UwLLNZT57F06VQYSaCJ4oYej0a5k8uNdZ/Y7n\ng84AB5gxsh//2m808jRZilimvVcvwbJlXKt0LPTwyBGZqS7BSpPdQN0MtHhSUWUjhkNENE2DgqMN\np82gaB0Nk1B0EUgbJt2D2wvQb4I7YTahA/Uo1j67Nn7BAfTrkUxOr66+m8BNE7NoDlm+3XPAFOT2\n76F2QM7iPqy5Qvr0iKYwQxFbDWczBQFTYFmSYDDI//jOjZ3lqQ7Eqj31DEsNMSw1Xr01CglHt0XF\n/hwtHKSFsCHzxBZgYbuvNgTMGZPJ7FEZ7igH70gFBFya05ORTidTQUUDAdNwxzvE2npsJgSiomTu\njtfJ0ix7cLorqa/LXu3NpNKcisaWsGrVjXleoAZ6JgeMi2LvesDgZHMMthHkg4pUxqa3MWD2/e3+\ntp04N3z66afYVoRw/3GnPe54Y5tP7K+jfTvgkmvTuybF2XyiWU5ebLTHKBFXN8hxeHJ5F8+/6+98\n2eB0BP4BupquoW1ed0fFIuJ0Cnrt3RAqgEqq3oOQNnffuuC03/1C8bUPcAoKCtiybh1XDhrDRyXt\n72wtW/qk3880tC8RRmSmujL3Ob278ed1Ja4hSeDDfVVuyl7vHmzbjtPeiN0Zb5Mjeb/bQm5qftVz\nkKGMfuX/iNZh713RvvG/sAAibQxHcJu4l5fkNXGH/eiakby8pcz3WG1TiP/6h6ks3VTGn9cfAimZ\nMyaT5zeUKoM2BBOze7IlZmccNAUI4Tp9iVoQd07NIVy2i5SWasZnzT27H7YTZ0RlZSU79h7kewuu\nhO4fwsn4nZuChH0rYP8HcN97LskYK0REBPjcGnPaz5FSkSNjZ0DpllgpYUtpHdvK6jANQ2XwDME1\nYzL5pKg6XmdGQp/UJGoao0FZZvdkKhvb3H8bhlJFLqps5JUtR8446yr/cN0ZOWVBZ6DnY+8U+h6/\nUHu3nFqX1gXJt0awPO8/uLXLGtKHTOzM3nQgPvjgA3r3zSRrTC67jp5s97hVe6r4cF81rzw0vUN8\n+9zcfvx25V43KLAlPLO2hAdnDuXfPjqgypiOzX+0ryrO5gf37srh2mbfZ5te+gGorE1yD9jwJycz\nnxwd0RCLC/DvoYjN8h9ewdJNZby8pYzkgOHKLOjuqESpWq+9+4Z8SrhzajZJo00iY7qz8Mq8s/h1\nzx9f+wBnxYoVvP3OCmqu+CmI4GmPteyoPoeu6euU+pmULG2JmwHSKdDYdkPLhj+vP+TuHux2xjok\neqxX4z7FltOroPdQqNyp5lGB+nPnMv8C0CJvDUcg0gbYmMCvg8+zP5TNNjmStJQAKUGTmyYOYFS/\nVAqO+hdja9hy56eU1jRh2ZLSWjVQUdm0JP9wXcxihUcXjHUHF+rdsA2MzUpj7ap1HKyqIhB4+DS/\naCfOBSkpKfz4vlu5qvxPYDef+QV2WNnL/H9xa/kHu0yg8O0wwm7f8UuiImC6tfa5mFZyULZu2bbz\nd0lL2EoYcNjgC24AX3AD0KdbUtw4hthZV16l1de3lbcb3Azu3ZW0lKDb1dXR9v664y8s5/NNQzB0\n0tXk3XxrwvPpxPlj0uzr+ahpJ01OcNNeyRQ6zrdrbD1cF3fM05+VuCMLLFtScvwUiZqWymKyf9OM\nvQhp+xupBk5WwY1Wo7falC+/QP9eWOG3991HG1whz8KKk1i2ZJezJrwdX1547V1nSfUGR/v4RVPH\nAd9I8Gt2LL7WAU4kEuHDDz8ka/REKo1g+9bvwdbDJ/jFm7vdzom8QencMmmg67jC7ThO72A3TaJM\nhOLqUwRNgXB6C89GaAxgpTWFK43dLguf4wega5+YozznpqN6PYNIKOUlAQhsV9K7oSVCQ0uE/1x/\niA0ltXEGvbVUKdBatnR5ClrkTU01F3GcCZzfIm9QOhOye0Y7p4B3NhdRnJ/PP9x/f2d5qgORlpbG\n3eOToKaF+Bk27aB0fbRUlT2F0cCLGXVntHXdnZE3KJ03tpUnVjElKsMQDBj07paU8JizQeXJNn71\n1m4/qdcz68o7JDEpYHDliPYVU0trmzGEmk4+pl9qQnu//anP1QbkPOx9Y0mt+7wARvdLZeOnaxi2\nYC49e/Y879+gE/FoSh9Oc4alhCaBnN5dKa1tP7jfWnrCLVWdr2/PP1zHH9fsT3jj1w/pMk1JTeLS\nVyy/caM9hggmhpdneXgDvqOE4Senn6N///PnpZTUNMXdb2wJj7y129WyAgiFo91R7WW5tL3nDUrn\nyY+L3VKzAF5ftZaU5hFfCL/ya62Ds23bNurq6vjG3HluP3+SKVwdhEQ40RRm6aYy7npmg7uTyxuU\nzhM3j+OlB6dz99QcFk3N4Ymbx7Foao77XrqLIv9wnY9EmUA2gYgl1c4zAffgssHpJAUMXzA/Seyn\nlzjFZjna86itFoERxG39nbAo+rSHW6GF/2wRwJKCMEFX0lsjbEl2ljfEGbMuLXlJmFqt884pOVw1\nOoNgwHC/p7clE6Ksfr272r5xHdK2CWXmtnMFOnGuOHbsGCtWrKCl3xRlB8JUf5rJRF1AAouvKYLn\nb1DO0sHZ2Lrmq2lbbw/aZK7N7ceKXcd8z3ltPdFaNIBe3aIZV61TaAABx/5iORWa1NknNTluDXlh\nS7U7bc/eLennBV2IvdtFq/nLv/6WF//8ZLu/UyfOHcuXL2dIl5aoXw8aPHjlMJLM6FWP9b0nmsM+\nvw7n7tvvfm4j65whlYmgKzoTs3vGBUETBqbx3SuHqvJODF63Z9GSNtz7Ts6fQgUw1//en705V/8e\nsflwb1XCYEVp2ET/bRhK2XnJ/FzGD0wjYIp27R3ibb7441d47NeP+37ni4WvdQZn9erVpKSk8O2b\n5jFpekvcuPf0rkkuUfL9wkpf9B+2ohoCsa2nG0tqGdUvlUVTcxibleYSrB5bUcgtkwb6phrfOUUd\n84hnBypRPAWvsRkCHr9JLaz8w3U88MIWTjSHmST282LSEySJCMIwEbY3EWtD9nQ1fyqWfObhVmCY\n0D2DT4b/T7buKWajPSbhxFkvDKH+s2zizvOxhSo9qSXRY4mnsQPZlszP5Zdv7gYguaqQSLe+/OuW\nRmZMqkvIoejEueHdd9/lqaee4rJ33yXF2zoK6u8pvRVBMaU3bP8rHM2PvtgKR0XCYlpOs3qm+K7l\nmWx9ziWZfLr/uE9MzJawfEfFaW39sXcK47k5Anp1S+ZEU7TlXUpYNNU/1RuI054RwKM35vLylrKE\ns6USwXCWlXeDq1thz9feJ4n9zDy+jJdED26v/Tc4MreTg9MBqKmp4fHHH2fx4sW8uPh2n3/WZUIB\n3DJpoK9EDlG/rsur5+rbvXPYZozow3Vj+/NojICeJaH4uJ/vOfeSTJ79zmQASmqa3HPy+nez0Yz/\nsn1GwsI/xdvNufr303RMeaH9O+AZTaKUwqcP7U1qSjCO2K87t576rASj+QTBk0dpGj7XHdp7MfG1\nDnCklEyaPov/3FDOtKG9XZIYEPfDz83tx13PbnQNNehMKtap74BpMGtkXz7df9xtBX1x8TR3uJ7e\nPQqiwkfBgOGWuoC4IAfineiTHxfT2BJ2Rc1Ui3gYE6nGLsTi8HpISY/X1tA6CTuXqumz+S8w2wjy\nH/ycbXKE+9nDMrpTcvxU3G5DSrh6TCZ9U5OVRoSlCJZ60NqTHxe7HCNLwpq9ikDt/Y1BpXRf3uKM\nxpA2dnI3In2GY3vKHJ04f0gpWbVqFZdeMpzM/X9TdjDzJ9EDYh1j5iXw/Pwod8sMqsBHp7vNJFZN\nfobvfxaII/Oeyda/O2sY3501jDe2lfPS5jLXoZ7O1tO7JlF4LJ4gaktVzvV9V2BTSa07BFBDcyr0\nUEDduqpKVdEAZ8JA5aRjJ5XrN59zSSYf7avGttVA0NucMSl5g9L5xZu7ffb+4b7qqMy+B157nyr2\n8GFFV6b2aaZPUiieQ9GJ88Lq1auRUlLTU2W0Y/2695o8NGsYn3iC7qCpSpvesub5+vaH54x0g6rY\nIN0bmHuHz6Z3TeKjomr3uTP695oiNV8w1m7Owb8fqmlydXq80J2Ee4+dTOjfdXnKlmrm297KRpY9\nEE/sX7qpjGfWKg5OclUBAG39xp41gftC8LUOcIbO/Q7Pv7Wbd1YVnbbrAvyj3yVw66SBvvH2oYjt\nU3JsCytNj1scOWtt9LdMGkhuVhorC45x3dj+7k6hsKKBvEHpbD1c55unc8WIPu5MD73gvDghu2OK\nM5iKtysmdiHUHVaEUmljWBb/0edVvldzG/n2CAKmQbek6K5Bcya0dP4n+4+z7IFp3OL8Ft7IPZZ0\nZ0vihrDFzXYRBo3jbgegS9Cf5uzE+eHgwYOUlJTws3E18NEHp++2APX4vSsUwRipypqedLeMtDD4\n858xXj7ANjnStXNv94m29dwspe2i14u2dYBJZ2nrRjuclvZQfLyJ25/ewK89E40Blw+ku/ZawzYl\nxxXfTU8wzx2QRmNbBJlA9MZGae08NGtYnK0nmuGjhxHG6qt47f2zugyqWoI8NOoEwqtf0okLwhvv\nvIeV2o/ntp/ihd0bE950NRL5dc0b6Sjf/sa2cjJ6dCFonvTxeAwBM4arLE/soFaNs/Lv6/+o/pz7\nv+OfOwv/rtu8DQFDPfpNEjVCRZOFY/177FmFInZCm//V8gJ3g5xcVUA4LQejW7pvgOnFwtc2wPms\nsEx1XWjiVEzXRSJ4o//8w3V8WlR9Vt0kXgVViKb2NpXU8klRNR87AmWgGOgYSvnSNIS7UJ78uNjl\nEXgrtGON0rP7wnZYRfP6xrb1eXjvJ0ooyvMt+jQU8HLyfp4Z+q/8YW8auxwegiGUxHhG9yTKHSVQ\nLT//g6uGx/1usWx8UK2xT316kInZPZk2tLcbIGoYrScRXdO447JsX2arE+ePD179C6aQXN3vpCIX\nJ+q2iEWsQFjVHrw2MkIc5aWkX3Nn6FdskyN9XVPa1tO7JvnUWsdmpcWRNc/G1nG0M85BSBvLjp9o\nvHRTGS9tLvOt1+LjTQRMwdxLVIv6S5vLCBjC1SjBc7MR+ImTXuj5UrHYVFLL0k1lbpkq1t5L6iXd\nDZNR37gfpt3Qmb3pABw9epRD+/fSOnyOG5ycqRQSe00vlm8PGDDvkkw+Lqp2gmqV5fFyxGLtfbx5\n+Oy++Of/CqNvuGD/jqexwxDt23xdcyhhV1q1oymkf5OnPz0YXUNtjZgtdWRfcTO/enD6F+Lfv5YB\nTjgc5mff/TZJ/fKIDFN6AN6uizOhvamy4G9FDDuTkp+4eZx7Mb3OO2RJX/0XVKZjzpgMPt5XjWWr\n2i5ARX0LAUM53GDA4N7pgyk8dpIp9Ea0z+NMcHYo0uh7P4m2GMbAsENceuJ9Qtbt7qvGDUij8NhJ\nN7gBME2D9K5J/PJNxbLvkRyg8NhJrhvbv13nsHpPFR/urSLJ+Q4u2bq1gfR1/0Ludd/hiZuvP9sv\n1Ikz4GBRAZf1aaFXsjM3Krbb4kw4shne/5nbeSWc/wWk5XZiaDv3dp/47DyshL5ixc/O1taXzM+l\noKKBzYdOxJWl2oMt/VyKJcsLEgZJEUtSUtPkto1HbMmdU7IRwEseTRAJLpFU7/a1vef274EhhNIE\n8aD4eBO/eHO3O/DTa+8ALYNmcMP8+Yy87fKz+k6dODP27duHEQjSljnWfexcSiEX07dbNvRJTfaI\nsUqKKhvbtXcBzG3NQBQlONHULGj0aFlJohuXC/Dv3vUViPHvY7PSKKxocP9uGiKuQ/KjfVVuKS8Q\n87xMTmXig/+XPy26lJSUlITn1tH4WgY4mzZtItTShOiV406VvXp0hvt8LLnM69R0aSrR1FVDwIMz\nhyotG0c74bX8cl824kwiUkFTkJGajO2kDdvCNo+8pQi4AdPgjikx2Y0jAp5/S5FBzSBM+z5U7oIx\njtrsu/8UHdEw4S71WOlaf6uwMBypb1UXlsDE2hVMEhPZJtV09cweXeJmk8wa2Zf/9XZBXPvk2gM1\nfPfKoSSZIrG2iVOz9nIrkqoKEUjuvH52gl+lE+eLP/z6l7T850LA2Z2N9Mz20joZXgL61udh73Jl\nP5PvdcpTft0ZCdhGgC2Mcf/dnp2HnZk32p69OFdb1wJ9YUsSNAX3zxjiBtSj+qXy1KcH+WhfNdLh\nBnkbBmKDDy+8Tt2WynnXNYfiKA8FFQ3t2vtNE7NYsetYwpb4RPYOKoN11xWnF07sxLnhmmuu4Y8D\nx3DvX3cQtlQ2ZKxTKk1EGv6ifbsAd9hlxBGP1ZyuO6bkxGeuj9wHxa8p/y4MyJoIl35Hrc3V/0tl\nbiQQSPY3DlxE/w6KN7T4iiE8s7bEx8+0bDW8WkKcfpAAvj9nzBcW3MDXNMBZs2YN3bt350ffvpHX\ndxyj8NhJ1uyt4pOiajXTRkegDrnsE0+a8bWtR3h0wVgCpuFbCGP6pfK4E803tkVYukmlw3UZx8vK\nv3f6YDaU1LLn2Ek3fZeV1oUxWWlcNSqDwooGDEMgHQPRvjli2QzoqYzjyY+LnYU6Be59N/5G5YW+\nYennBs9U7eP6xiWBy38ApWuRR7chkJgerQR9SDAQ/c4BAw7VNLWrDVF47KQrnf/yljKfvoIholLf\na52WyuTqQiKp/cnMuvh12a8LbNvGyJ5Cyvx/Vt1Rx3ZB0Uo4sApGzIMDq9UuzwjApYsgOS1azz/4\nkfozpbffWXbLRGRfRmDGPzJyawpbT2Pneida09jmrik4N1uP7WZZ9uD0uJuUxndnDSMjNdnHpQB1\n4/GuV801OHi8KeGNqKCigVsnDYyz982HTrRr77VNIV5+6OztvVvRexiRVqAze9NRsG0bwzBI7pLC\n7FEZbtvzo28X8ElRtWuDSZ4sibdk2tG+3bYlwhD0S02mS9BkzphMGtsibmZDgkvuDVtKqTi+e+s0\n/n30DdB2Epcr9wX697AlSU0J8vhN4/iVk53VCJjRsrMlJZYN5skKUve8xbrLupM3aNaFXehzwNcu\nwAmFQnzyySeMu+xynvhgvy/ajk0rxpLLQF3YuuYQ38wbyLJN0Zr+Ac8uUItDafJZLCtf82hMR+/A\nllBe30pFQyufFFX7Jsl6YQh/55ZLjG5PtEeXF6yQ0sTJvCTKr7h0kdqtq2WmVDGv/z1WxW6EHcbC\n8GklfLr/OI/emEthRQPVjW18XFR92nKB5lMAvLzlCN5E8dA+3bj/iqGuOJbRUk+woZym4XM6O6c6\nCJZlcdttt/HNOVNYdOKPEGnFvQaWpYjn0YOVLcQKK+5dDoOvwJecb6mFGf8I2VO4xa47rZ0HTAOk\nJOKMHYFzs/XY99M3pkSIPc5LYMwblM7skX2jitkShvbtTnl9S8JSxKtbj3DrpIEu+XR/VSPbyuo7\nzN6xIyRX7iLce0SnvXcgnn32WT78bD27Bt9Gm2Wc1q8nKpl2pG8PmtFRDLqsX3y8xBX5g/gBrpJ4\nO35rQZDRrTvjgxuvkF+sxtkX4N91t1neoHTKaptcpWJQHLhxA9K447IcV4ohuWo3ZlMNmyqtdt/z\nYuBrF+Bs3LiRU6dO0X3opYTKzn7WiIa+sACvbDnipqS9bc1esqU2Ah9xEkcwzIrnJCSayqqx+Ioh\n1DWHfKJlh7Z/TF7B96OG7u2Q8Yo9RVqdzhjn8X4TlT6CrtPaEdj47xgyQiJhcsuyqWsO8X9uHscv\n3txNpJ3zHJ7RnftnDHE7WLzKrRrFx5t49O0C7p8xxBm8prgXdv+xnZ1THYQdO3ZQVlZGn8hAZQNn\ntHQZ73HHLFRBsc9ObLfWfyY7Dzu7QQluhkbjbGw9jsvjGdoX2/XoJWrqLhf9+LShvemTmux7/8KK\nBsYPSGPr4bq4ACviaKHo9uI7nt7QbifX+di7UVOCEW7B6j+u0947CFJKPvjgA0LBVEK20a61q07Q\neO4IdKxvjzjjR2KrXaez+7FZaT47HmvtY9jKfwYZOTffPnimCni2/VeH+3et8eSVQIgtveq28aKq\nQq7N7cfOI3UkVxYQ7j2M+ZOHJ3rbi4avnZLxhAkTeOSRR7h53uyoymXAYO4lmT414ymD/bsqw1FW\nvW1ytvvY1aMzMB311CRPW3P+YbWzrahvcY/VaXIvJP6OqDOhsS2i3scRKzMNwXRzj5ozIi31pxZl\nO7JZzSAR+jOliuj/cj189H9UZif3Fv8H1BRhYGMKMFEkUv3dveqU7Z2zIWDKkF7UNYfIP1xH/uE6\njta3uDsWL0KW5Nm1Jdi2JDxwEkOuf4ilD9/QuZvtIKxatYouXbow87rbPOrFySqtbSZH1YwHxZRI\nhAl9RsHo+Sq4AcXbESZg+Gr97dl5kqPk66jDA7idGmeLxjblmNO7JmEIoRRjnRuTJi5roU19nB7t\nIVEE4duf3sDvVxVx93MbGZuVRsCz/I7Wt7K5ND64Ab+tn46/47X3pZvKXB2TREq0XnvvUlWAmdyV\nv/zPuzvtvYNQVFREWVkZ18yZe1q/PveSTETMDf5i+HZbQu9uSWft33WXnte/Tzf3EpBhTxCzNPqC\nFG9gLCH/BfjztfDR4yqzAzD9h/4PuUD/LlDBzYTsnu5v8eTHxeT275Hw+LawzYpdxwg2HMFsO8kV\ns6+JG8J7sfG1y+CkpaVx0003AbBkfq6rWaBVU3VkvrGk1jciXkrYXlYflZ8XwuXpfDNvIGOz0nhj\nWzlPfXrQbQMEeDW/nGUPTIu+SQzOJYPkHiuckoEQhJPTieqr2tB6ElY8rMSd4lj0dlQsygpBc40K\ngBLMJjIMk6GXXcsT/cfFqbFqfRMvBEoi/7V8lb41BAinBdgwBAN6dqGuOUxzKJqidIXeAinMvmpi\np7PvIEQiEdasWcOVV15JyoiZcO1v/MRhL7m4dK1/ro204cRBqC1WXB2En6czYRFU7aFh5WO8UTaK\npZGrgaida6Ve7+DL84FO1+uJxYYhmD++P2/tUJ0jNtGuJi3g582cKA6M+ncoonand1yWw4ubyuI+\nS6Ac/KyRfclITfYpIesbTixZ3mvvmrcggOSgwT/MGMKafdVU1LfE27sVJql6L0PzZjB1eAad6Bis\nWrUK0zS577b5ZBadPK1fX7O3Ku71F8O3v7OzQgX5nqd6dUuirikU5/dNw9PF6/j3TTIXKd5ESCcD\nu32pyrxX7lB/l55yj/fvWgqiS48O9e9BU/DJ/uOs3lPl8+9JAYObJmbxQWEVLWHL9yJbSlIqdyON\nICMnTo1734uNr1WAs337doqLi1mwYAEFlc2uZsGW0hOuZob3JuvtAhICt2arHlOPWw6bMFaOWyMU\nsXl9WzkDeqack8PXonp68FqSKVyWf8SyXZLbsWNHGexyJAR8/m9+YxdGAiMXavc+ZqEaqBhbwhAm\nxg2/J2RN5uUtZWT26OJLpbtcAg+G9e1Gt+SAq9apnLmT4rUkFfWtcTt4U0Dw2G6CditTh0w/69+m\nE6fH5s2baWho4Bvf+MbpeVgaZtCxARwlRxuwFTdHwwbSspUmzop/pAfwuIEikPQAACAASURBVLmW\nAbKS31mLCEVs/rhmPw/PGekqvMaiPfMXqPk20pbY+G09ymuQ1DaFfEP73tpezray+jOuK83nKaps\nVMRHz/FBR5H41kkDWV1YyfuFlaQmB3yjFW6bnB0XGMXaO+B2gj23Tk0Xj90JmwKQFqEhM7jZ2WR1\n4sJh2zarVq1i2rRpHGyQZ/brAYNQ2MYmWrK6GL5dC6J6cbIlRMAUPvKud3bakx8Xu/493xpOYeaN\njDv2ujrQaoN3f5wwYPHBKwVhBC+6fw9F7IQdhJMHpbP7aANW72GEuqUzc8yA05/3RcDXKsB55ZVX\n2LJlC20DJvPc+lKXYBxuR+Rv9qgM1uypctPrRgy7HtT9QBDlGyTCS5vLWDAhC8OJWEyHZa4XgErn\n+0XFdHATDBjMHtnX5RDEqsX27z8ADnkKATKGxGUmw9SHFMnMtpTxj7oOhs+Fyp3R440gjJwH3TNh\nwl0srejHa2+9zgxjLxuPjuGOompedsSZVEpWuDsZU0BZXUtCsTMNSfTGBOrG8uiCsTz/xF9I69qF\nyYN7tfvaTpwbcnJyuO+++5ieHVDBjSYYW+2MAxgxD/a9p44RhuLcxLSGI6VKi+9dDkRpxw8F3mWN\nPZltciRrD9Tw+cFabhzfH0MIVyEVcAbyiTgBPZz3MQU8evM4V2cD4m39urH92VRS67bpejOs+pz0\netGdj0LA/PH9ecMRGdTdHZNyejIyM9XN1jz80nY3O6QJkz+7XpEwb5k0kJedcSRwZnvXN0tBvL2r\n3fLVndnKDoRt29x///00B9J47J3CM/r1WycNdIm0liURyLigA6K+PVFwo9Geb5eowAUhXPVscHyg\nE/yapuD2ydmuLEH+4bo4m08dkgc6wIHEG9URc1W21Qqrk9alqZ3LLrp/V1qd8WrjSabgZ9ep9bOx\nZETCrscvAl+bAKe1tZW1a9eSNfZyHnl7j/u4doreCFYz2b0dVlLCxIFpcU7Vliql522xi4UtcZ1n\nwBD87wVjXflrPdBTK79q3RB3RxGxWbWnCgG8sa2cFxdP85HcBpftaTcNyYA8VZ7IngLpQ5T4k7TV\nYjiw2h/ZS1sd78wpOvDOX3gx6QmCRAgT4O7QL3j60wwmZPd0eRGgbhbXjM5gzd6qaAATk5Y1hT/A\nMQ3l7K/oD384Wso9P/7x2V3ETpwVBg4cyA+mdoO/zsc3HtIw/SJ/uhPD22ElJWRPVjPMfLBh5f+A\nad9zW8jVDUByQ4+DbGtQ7aaWLX22vviKIe4APogOsdWDKbWZRCzJv398gKNOx0kiW88blE5hRYPb\npuuFKdTgWh2wLN1U5nbK6PNxIaVvLlr+4TqWxxzz1o6jzM3t557vOdm74ZBJY+x94djebNmyhXH9\nv1gewlcdgUCAQXlXccfTnxOxPUKkhkjo170jEbRfSpRe1L49NuvXNcl0S4+n8+36s3VwbdnS59st\nS/J+QSUvbSoDhzN01v5dmJB3j9I2y54SVS6WNmz8d9j4H1+Yf58/vj/vFVS69z9TwKMLVEZqw4YN\nfPOSoWRmfjkB/dcmwFm3bh2tra1sl9m+xzN7JPPk3Xm+6PKNbeU+56uDoLYEAYwtVUpv2QPT+O3K\nvXEBUPzxsl35a2/Q8+jbBb66v0TNz3FHIxgHoHS52lWbyc7U2IAyZNth3evgBlR7r5TqeSuEX5fT\n2Ql4bn4Lex4iWBUhIGyQEaYZe/n3PSNZvacK0/CotkpJn9Tk6LRm0yAnPcWdZ6LeXjAuq4crC27Z\nkoKKBloKNgNKnKsTHYO9e/fSULyZy/L/CZMYe730W/7szc5l/uBG20GklYSwQqquP+522P0KoEiY\n6X36e2dWurCl0spINMR2VL9U1/FHLFWa8qpke20dcAnFuk3XJ7fgGQKoUdccimsDdr5h3IZmY0lt\n3HHVjW3c9cwG1eIuzt7eVYFDMG5AvL33rC1gyZIlPPfcc0ycODHxb9yJc4JlWbzzzjusa8qI61ia\nPSrjNH5d3bylVEFHpJ2Sal1ziF8vHOsbhNwaTtzq3J5vzxuU7s7riw3uTzQ55SAZHRf0g+EnyAus\nBWOmMxU8WWVUpVNUM0y4/veKT6fRUuspLetBnhffv0tgxa5jXDU6Wu2QElYWHGNo72R+/vOfc+WV\nV/LYY48l/M0uNr42Ac4ry9/F6NKdcM/BvsfHDewZN4fk1a1HXNMwBFwzJpPvzhpGUWUjO8t3+16v\nFVPzBqUza1SG23aqy0yxGwMhBEfrW9yhg97dqXdhFFY0JCREpndN8uy828AwVEqySw+/kmWsbsLg\nmU7pQS9OiatuO+pamPGw7/iJM+cTKX6aiB0iTMDVTJDgEocFEtPpHlgyX2kovLr1CAe9wQ3KwY8d\noGS+I3ZU+XbMnveZMGEC/fr1i/uenTg//PWpf2Fr/nZWXm35eySFGVWyBmVD2/+G6wR16XLGw4pn\nczQ//s29TlLvKoXB1H6SwCHibjAQJQLHivNpW79l0kD+uGa/K4CX6LU6m6oDGe+8q1iCpPe13qWn\neT5Xj87guzFTvqcN7U2XoOHTxJHSo8QqO8bejx1/l8zMTMaPHx//Q3XivJCfn8/jjz9O1xnfhhR/\nC7JXGiDWrwsRzS4m2lCC37fHZg6NC/Dto/ql8pNXdlBa2xz3+mu6l8IL33I2rKbalFz7GxXApPRW\nfyYSdE3pTTRbK1VJSlrAxffvEVvS0Bwi6HBWbWB9cQ3bNq0n5dQpxQX8kvC1CHC2lp5g8/6jhPtc\n4mmbVqm0784aFsey95KlbKlEkL47axiLpuaw+VCtm5I0DcGjN+bGSXXrFOjiK4awrayOLaV1njZZ\nybJNZby8pQycNHaiHegtkwbyikdlU6Ou2eFRRNpwu6I2/AnuW6kO0MENqG4qRDSNeem3YOtfcAnJ\nDumRopXQe0Tc6wOTFnG8sZUfFI5iu1TP67ZJr8G/tLmMJGeabiTBrhmgqS2C9GSNIm0thI0k5s2b\ndy6XshOnQfP+z/hs41YWDDzpa4lGGHDDH6JzakrXKgkB29uFYcOBNcoRTr4X6g6pLE1jlbIRYcJ1\nv4s6SU/WcICoYcXNySzJ7+raOjgT5N8uAFQ63jQFd0zO9nUp5Q1KdwcOJrJ1PaBSohzpkuUFvPzQ\ndHet6kyMbtHWAU9dc8h3E9JNAh/tVeXeh2YNA6I3oSXzc3l5SxkFFQ3YtuJHGOCbD3Qh9m61nKJg\n+1a+dfciDONrp85x0bD0jXeQZhJlSYN8jwcMxbXRvv1ofYvPr1u25Ll1h3x+98/rSjhY04SU8b7d\nmzm8UN+eNyidB68cxi/e9G+Wrx6dwejWT6P6Npal/HWgi9LAAbV2q/aoP70BT0utb9PByHmw/wOV\nzb8I/l1zy/Qvurm0Dm+nvC3BrNhNctdUpk794runNL4WAc6mQydouPQepKeOKYBf3zSOospGt1Zv\nOpyB2LZQPZEWVDpOw7alj3HubZG1bMmfPy9153KA2hXqNebla0Vsya+cGTzeHelLD07nV2/tZs+x\nRgCmBYu56dR26D9QZW50y7e0Vblhx7Jo5C+lO3uEbf8F972nAh19jBDRNnJpK4n+DX9S7ymEs1gs\nemMwgnvZzAhfNstl/Dtk6XDERoCbyoztIPhs/3FXlhyAQDLf+u//zO1T/CXDTpw/PnvvVdosg3lZ\njZ5HBdzwLypo2fq8M5vMUjs8X0YPlQbXgmGbno4pX0nlREEFOfe8rY7d/jfI/ysjjWXQ9nMkI3zn\n5BUMi1iSFzeV8fLWI9w+OTpnKpGtJ5mCivoWlwPhiq5JyRvbyt2bTSIiZ1LA4NEbc32zsDSHwpKw\nak8VH+5TgY5lK86MYRi+95AS7vfwhy7U3pOq9yBt60vdzX7VEA6H2bz+M0J9R6tOQAcCeGyh8u16\njEDQFAQM4ZuPpANmII4TJuXF9e2xm+UpgQM8mr4dUgZ6ysSq4IkVivp3vbH1ds6aSWrzoTcdZpIi\nE+sNzEXw78GAQe9uSS5nLvZ7CytEsHofoy6/ikDgywszvhYBTt7AVExTELH8O6eCigZe3nLEdX4R\nW/LsukNxivWgTCk2uyNxSkYe6BZZCT6HqY9vD5aEX72122Xf3zY5m9ysNEpqmjAE5BkH+K/gE5j5\nYWwzCSP3Ftj9Km46Ui8EaTmW5vk0O6wWyPx/iWqidO3j8iiix+mAB5d9L7B5zPxPLFvykn0NH+6t\n4iqnth1LRgPcKee1p9rcmxVAXUuYYMBzEwm38tiKQreNsxMXjg+KTpHZJcKEXjEcmpZaFdyseBjX\nLuywEvk7/HnMu8ioSqrXhqTtFxfLnqKOsy3H5mCy3MPmmAAnESKWZOmmMt7YVs6S+bkuyV7buhBq\nhs3STWUETaV/s3xnBVKqIZwSomrJTluvd22FIrYq8S6exuvbyqlpbGPN3iofMdJ/EyK6WXCfV77g\njsuiAfiF2HvgRCl2196c6tKpfdNR0EOTw2PGxT33cVG175qHLcmUwelsPVznswPblqwsOEYoxlfb\n8uL79vcLK13f/mKSx7df91vlm/XaNJNw/bu3DKX/tNpUR+w9bztigAKSe8Sf1QX492DAIDcrjeON\nbVSdbOWOy3L4pKjaF+CA020swKw7CnaETSGVRfuyfPxXPsA5deoU/3Px7Uy/8lbWWsPcx01DUNPY\nFtfeZtnx+hUAPZIDzgX3114LKxo8gy/TfW1+pmlg27bLTQjoabJW4rS23uyGnBuAJnvZEi5jD4YV\nwhASK9KKLHg9qshphdWgRCOgPLcRcKJ3r9OWHk0UTVg7MwRgIPl18Hn2h7LZJkf6dj2WrSb2SmDZ\n5jIP8TOGxizhm3kDOXKimY079tBj41M0TbiDjSUjOgOcDkAkEuHAkePMvXQQhjgUfcIwVWDy7j8R\n5/CaaolDcpo63itDDIBQTnTt76McgMEzlfO1QmAE2Rq5hJhXuIP3Eim/h8LR0QuayGtLfC0aIUvy\nthPcqO9p0yM5QMDUa0y1n8d2MOp3eMNDSD4dvLaqYdmq5KADsfO19/XFNTSOvZVAqJFNh050SiJ0\nEAoLC0lLS2POvNm8tDXaBWcInKny/uOPNrTG2YFh4JMf0BB8Wb69jRO73qVXmaeLccAktS6FAJnI\nUok+tuOlDvfvpiG4d/pgnx5QYcVurh6dGduqwozhfcjp1ZVlm+HEzJ9gJHf7UuetfeUDnLVr19LU\n1MT8Ky5ly7pTbg31sYVjKaiIb/0wHGpKrEPeUFLL8xtK4xbIss1lSKkUTPVsHG+bH8BvVu7lYPUp\nhmd056ZLB1LXHGLnkXrfADgNbTAStbvQ2aTuNGEgkdLhjvr0bmwl8KcPFgLGfTOa4RGmUsAsXXsO\nxh81XSFAyOj02YgteXlLmbvrsaUS8/PsKXyEU4Gq6946aSBFlY1s/+AVkDaiV3bnLJ4OQiAQYPny\n5bQeXA+vbFLXWRiq26Klljh9JIBuvSGW21u6VpWndC1fenaM+S+ov3rn4tzzNpSuxRg8k0m7Uyne\neoSuSSbzx2e55Z03tpUnVhAW+IKaRJlT8G8obFBZVsfaDOD+y9UEZ82fMQSu+qy37HA6DOjZhaP1\nrXHHSpR434XY+4aDtSAg0L1np713IB566CEWLVrE/hMR3tpZ6fr2q0dnxA1JBoiLeFBt4KP6peKq\nw+tDURo3Enxzz87Gt6d3TXKHTHpxdr5dImsO+E/y8HpHtsHpoMq9RamNV+yIrtN+ExN0RZ4OZ+/f\npZQUHjvp03qL2KrUq++XSGXzD88ZSVFlo9qwJKcSDBpfqs1/5QOcV5e/S9e0XgwdeQkvjjZ4fVs5\nAsVkH9Uv1Tc1FpT64k2XDuSRN3f78h+ZPbqw+2h8QKSdr56NE8uYX7qpjC1O6/jm0jq2H6nnpQcV\nSfKzA8d9nRsC1bZe2xRydoqCkZnd6VKZzwMBRSIWAiISTGESJ9Wto3srDAWv+5/TGiaxQlFxi8Gp\nzwrDSWk6zxsB3/TZgoqTBBx9CNNQt5tYkqjG+IFpLLlRTYF+7J0CUioLifQazK9undqZvekgyLJN\nmIfX0W3wTH+qWs+TMgIxozsE9B0NZZv8dpTaP+o44z7EOc4rGOj8t3RTGU99prgGJ5rD/Of6Q7zk\nCIcBvL6tPG5y95A+3Th8ohlpSQIBI6HOFMR3rOgsq7a5Z9eWKDaCUF/Llkp91suRcL5xu66/oqGV\ngCmwnC4Q77GSC7D3FYV03f4iVs8cfvnw9zrtvYOwtfQEmw6dcLMruhwpUEHLJ0XVcV1RuVlpVDa0\n+javd1yWowjuCVoA9XFewcCz8e15g9IZ1S+V2/7j85h7iN+3T8rpSeTwpjjfLvqMgLJDxEOqzHzB\na04TrIESpbHgvZ8SDZ80Osa/a5HNzw/GD5K1pVqfd01VGlQATzz9It3Kd9A84TaW3DzlS7X5r3SA\ns3bPEXbmb6E1ewp3PbuJxVcMcVPWrztCYnMvyfRlUoZnprJoag6j+qXy1KcHqXbqjaP6pfLhvuqE\nuwBIzMcBpQfgRdgzqXjJ/FyXBKffo7qxzWnRU468qLKRh4y9GNhu1cAwAogbfg9bnoOq3XGfCTJ+\nx261QeEb+Mhpw65S4xqKV0PtAcXL6TtSPZf/AvGLJQrbltw5NYesnilMG9qb17eVszTBLh0go0cX\nl7Rm1R/DbK6hddC0hJLgnTh31O5ew73f/yk/G3ecGf2eULIBO15SgciOZSrgmfQd2Prn6IsMp218\nwl2KgNhYCZd+RwVEB1b7yceJkOLflbVn5/qGEGvrAAePN0UtTEp6Jlg/plDNAH/bWOrjuLgvw5Nt\n9ZhrbMlq7iWZTMzuSWNLWM0iEoI5ozMoPHaS9cU1rtibMATCaZP1nuv52nuksZbux4toTsvutPcO\nQv7hOv7hv/0Ey0jiX3IX8tjCsa6uUihikxQwmD0qw+fXTUPw0KxhPDRrmM+vL5qak1A4Mhbn4tv1\nDd00hW9yeKxv33GkngdMj2+XIIRBr7n/HfZdAuv/P+IDFBm9B3l5Y7qhRGP0DUrYL6V3h/j3vEHp\nCbNSEB1JoW3eOLoTo7kW2+zypdv8VzrAef3dVQhp0ZY5logtefqzEveS6qh8aJ9uvteMdQaN5Q1K\n59nvTPY9Nymnpxuxx0ICj75d4CPN5h+uIyVo+o4zjahWQl1zCOkJmASOsVjRgEdKqKe7m8JEgHH5\nD1VXzN7l4MvEnmGZ1nscshmE2T9Xf1/53x0CWxGUbYTL/5vD54ne5EwsZgT2si2sFGuDTtugNzp/\nNUFbu/5euo035XghUhjI/mM70/UdhA9XvMqxlgD9UkJqV7b+/3OekdFsS3LMxN/pP4y2fN+51P/c\niDmw7932P1Baymb0XKsjm/lJyrs0iXS2Scc+TEF61ySXw5DI1r2WYtlKUMw0/ATgB2YOZdHUHOdm\nEg1wziYJ78VVozIY1S+Vu57Z4O7sD9U08cAVQ9h06IS7g3c3G7bEFNHg6bztvbpQvd+A8Z323kH4\nbM8RAlV7iQzIc7uUxg5I841oiMUDVwxxr12sX09EVfDCkufu2zeW+LMdiXy7ZUsiQ2YQOfo6hlTZ\nVaFlTLokntB91hg+LzpYt4P8+/ShvRMGOAA1jW08+XExyVYLwRMltA66nGDQ/NJt/isd4Fw3+3JW\nby8h0kMN+dLmZqAuYHrXJP6wer97vCDxoDGNkZmp7QY44I/gtVS8LVWL4qBeXenVLYltZXUs21TG\na1uP8OiCsT7SGlKqFLjn78GAwe1juiP3C1T/iBE1/jELXdn8OAjDifQT3QqEmj+k9VAsT/QvLcXn\niX2FMLhhwe3Uliti2S0Ov+CPa/aT278HjW0R3w1MwzTgk/3HWbO3iqSAwY++fSfF+8Zx923XdKbr\nOwgfFNYzLDXEsFRtux5LN5PULu6j/+N5hTi9A+2eGfNAglS3FVb2A/D8fCZaIV5NCfLz1Ceo730p\nQ/t0c1tqkx1djVhb1y2oej3e6qS4dWbEAFJTVPvvdWP7JxQDBJUi10Np23u+sKJBdct4AhLLVuUt\n4ZScfOMWTCW7X1DRcEH2PqS5GHKG8/SPruu09w5CsHofwo7Qlqm6pyyJe+PVthR7ZU62RWgPsdSv\nRIWdi+Xb531jASc/30jvomUYqLlYrlaNmRQ/E+5sIIxoQ0AH+vdXtx5J+HEBZ8r4mr1VdD26lS7S\n5s6bb+T6KyZ96Tb/lQ5wvnHZGL79rW/5MjcCmDGiDw/PGckb28r9UbaAinaUKEFd9Ffzy9udORU0\n1eyT/MN1/nS8Lbl50kCO1re4HIOQpYhcuk3WO6sn9u8Tjd5Q8kxU46ahXEXmk+9V6cd9K/wnIkzI\nmZZgnhDK+I0g7H9f7dKFo2bsddYyps0coP94Rl82hycuU/9cuqnMFapq78YjUBmx3UcbXC0F2a0X\nf/jpfQmP78S5o7Kykp37DvL9eeOAMnzBzbDZKkvnHboH6nprG/KK/+nuqAl3wfYXHb2kdgJlM6iO\n37nMdcKmHeJ3I/aQP+6b3PH0BldSoS1ss7LgWEJbT6RG/Ma2cnVjMIS7HrVQ2jOfHYxTgB2Vmcre\nSn/5KslU+jiWpW4wL28pI9FsTNtX44rikv49fOJs52PvVkMVx8sP8ZOf/ORLd/RfJezPX0ePXn2p\n6znQ97ghVBfPw3NG8vSnB33PFVc1utlE8Pt27dfDERvDEH69LgcXy7fnDUoH4z44+KbSuBFCbUiy\np8C9K1TXa6yqeN/RcLyIhCG99u/b/hodrnyR/Lv+vVXXVJkj7reLtIwBPLLoakR7XQNfIL6yAc7W\nrVvZXlzB8wXRNKJARffZvbpSVNlIQQLS8LLNZbyaX+7uMHXHlXZ238wbSE1jG58UVbuEw9mjMuiT\nmszYrDQ2ltTyqfOc+7lCuN0kXuwqb6CoqtBl6IMqjcVL20+JEke3L1X1U82tmPGPKljxEkhzpkJK\nrEMV6tguPdSC0SUI98bnMDQBzEBU30Sj1zBfi3Bs/dn7G0uU8ScFDO64LIeiKjVENKW6gC41AMMT\nvrYT547Vq1cDME9+4nnUUAFI+iClenpsp/9FkqgNXfsbRUDXAmH3OsHypYsAAf0mONICTnA9Yp56\ng+6ZjqJqTBB9qpqNJbXRWTbOx60vrmFL6QmfrUP8JsJLGH0tv5xlm8tcvpzmxnmDJ4BwzA1JoIb9\n6dluO47UJ+yqEagbV6xQICgCtLdF+OUtifk2p7P3QDDIlfNuYM6cOQlf24lzR319PZs2bWLOjd+k\nvNXEcjabhlAaSSlBk9dj/CyoktLWw3UEPNlDr29/9MZcVhYcI7d/D57fUOoG2LNHZSCBDGfsw9Of\nHuxg344KZq79TXRY5vs/i5Z/r/0N/OU6v3/vPQxqDsTwLL8c//7wHFXSen1bOeGwhd1vDAuvyf27\nCG7gKxzgvPDCCxQUHSQ06ftIFLErvVuQuqZwHDlQgKttoTMNoP8teeSt3fx5/SFKa05hS3Vh758x\nhMJjJ7lubH8WTc3xTaqN3QBcPTo69M2bAdL1Yi8xzfs+UwLF/H5KIwMmzvMIq0WUYWpuxcyfqFbg\nFT/G1b05/LkScfNBKuOf+RPn2FhIh5g2Se0gtv/Vs3MQiqBcIN0W4dz+PeIie9OZ9SNQc2C0Uu2o\nfqlsOFjDO//3P9i59ijcdsPZXcROnBHjxo1j8bxcBiaX4JK0uvaC5lpnLAdEk/BOB4UmoVshdZ11\nGtxqg5cWQUudei8zCe65KyoOOWahcrwvLGhfbqB7X9/IEsBVefXautfOk5xRCN5MzsaSWiKWHfe6\nvEHpzB/f3zchPGj4nakE39DDB/+6Ne40BXCFk8ktqmz0ZYYESrHclhVui3Cyb/aFQlLAYNbIvgnt\nPXoTu/tsL2UnzhKLFy+mqvtwIruimbyeXZOobw65xOKAgdsVdzrf/su3dvPW9nJ2HKknYku2lJ5w\nxRuvG9ufUf1SXTt9Nb+cSEz2/nx9e1LA4K0FQUa37oyOWvAOQ/Z2KU7/oWoE0Ni/Sm1ifSKdHv/+\nUiKbu3j+HfC0z8/4u8pWfiUDnPr6ejZv3szcBbdxrNX0TG4Nxx0rgEG9uzIxu6czhkESMA0sy3Yz\n17aE4upT7mtCYZtn15ZgS9hUUus6tETBjZ53BSqCX/bANN8UZSEEjS1hl5S4suAYbWGbS8V+/mr8\nmmC+Bdv/qEYtaAE2L7dCR919R8LxfdEPbvLMJgGVttRliX4TEv9w3TPUe+lBnuBpKdSTatXiS01Z\nGCfydOP4/rxXUOlKeWtORd6gdJIbj/J8dSVzv/fQ2V3ETpwVJk6cyMTeP4AXPojKuDfHppSdwKfX\nEBgw2emmQ9lQasyg06bj0b9bIeVY93+grv/hDTDxLkcxO0FwYybBhEXkZaf7BmI+tqKQUNj22fqO\nI/XuugyFbXdac8AUvPzg9DgVVS9h+VCNf9hf2LJ9reRJnuPTuybxyf7jcadqGMLdfWqZftBKrMKd\nRK5vUiMyU30t7P16JHPTxAH8+fPShPaeldRKbe1RpOz5d7Ob/SqgZ8+ePPDAA+QfruOFgg1ul5I7\nlduBZcOcSzKoPtlKUsBgZ3mDW670+nYp8V3XWN9+2+TsqGp2THBzvr5dAv8o/8bId98DpJo1NfUh\nv28fPDNaOq4t9v8IdgRSeiX271ufV12QiXCB/j0vpyefFFUTsaTP3vX3bzlSyJi+WWe6hF8ovpIB\nzkcffYRlWXzr1vl0L1HdU+1BAqW1ze7uzRQwe2RfhvbpxnPrDvlS4d7XuPo3luT1beXcOmmgu2vV\nz+kWV29Eq3eVqckBnllbgmVLnvKcnzaqB80VBLHU3tsOw5pH4eg2ZYiGoRaEWzqI1TgBTjjvqfk4\n5Vsh/3lVmx15reeTiB434S7/IE8EDJ2tdu7v/8xXI57WtzfJQcNdsBJ4e2dF9Hdx5nfp77569WoC\ngQCzZs1q91p04tywdetWevbsyfDhU5Q9uN1TiSCVTZwowRUMm/oQX7ce9gAAIABJREFUtDUo5xjb\nZqqxz3HC4NiFjJIfpWMjwoibWOzVCymrbUpo654ziyoVW5LfrtzLrqMNPhXVx1YoFVW9+fDikF67\nhuCa0RnMHpXhHo/nvb3QO+9fvLnbtWEDxSm4bmx/Hn27gLClPl/zJjRPQwKVJ9t4xrkRQry9v/ba\na/ztb3/jgw8+oGfPnqe5Lp04W9TW1rJ7926mT59OUWWjb85ZIny4t8q9PgFDzVnqk5pMD8f3JlK3\njvXt1Y1tcerFliMmeb6+/S7jQ75reniTkdbonCjDUBlTaD9TKoxoEBPr3yGxwZ+nf/fyTX2BYIy9\nl5eX8/DDD/OjH/2I73znOwmuxpeDr+RY2zVr1pCTk8OpLhk8t+5Qwu4KRyIpDnoY3/MbSll8xZCE\nP1Ds+wmi3IE5YzLRGXPTNJRKZgzyD9fx7LpDcQP69HsbAoanNPpP8HhRdBaJlFC5yzN7KhRfj5VW\ndGEEktUNTNrR6bKGJ7YVZnTadEpvfPNOxixUZOZrf6MWn1MjzjMO8OLiaYwfmOa+TazD0P/ccqiW\nt959nzETJtOjxwW2P3YCACklv/3tb/nd736ndnob/kTiPiKHZOh/tbKDz/8N8v+qnu8XO8/HsSFf\nECxgwiLF/cq7R5VBdcmrOHE33+ls3fkU0rsFfY8VHz8Vp6Lq3UXH2pllR9WQJ2T3pK455B6vP9dT\npCPJFHx31jDyD9fxWn65e14BU2V1osq2uH/qHfrZ2Lss28Sqt19j6oTRncFNB2LVqlX89Kc/Zc3W\nfSxZXtB+1xw4KtnRxyI2rNlbxUuby3h+QykLJiTONMS+Z0ZqMi8unsY/zRvF/ZcP1n1OF+Tb70rd\nofYF3md0BkVKVa7S8+DaU53X/hz8/t0lEOs7l1C+/jz9+11TctwW99P9Vn95ZTkA/S/58iaHJ8JX\nLsAJhUJUVlYyZ84cNh06kTADYwqlZHy6+D8UsSk8djJxFOR9L0OQm5XGkx8XU1TZyEf7qn27ukSE\nt9jurVgETIPAZff4P7qlLirVapjKMM2kaIox0YkKQxl3sKv/eSlh0rdg9HwlBnXDH5SRg1pcWotB\nGFC5Q5XBKndEF5DVBqVryRuUTu6ANP9HEr2J3DpJDVr7zpOrOdlmsyU8wO1Q68SFobi4mEOHDjFv\n3rzo0MtYCBMGTU+8owMnCLbUa7v1xW9DCV6TM019VtUeJSR4eEM0kI60OurJfpzJ1oMBg9vz/BPl\nG1rCrgS8aQiuG9ufpIChykeGwEhk6qibztH6Fk95K/rc+IFpzLskk7um5rDMUZvVPB99zG2T1Xn8\ncc1+N1MTdnaqwFnZO0c2s/uPt3Gsrol5rFXBZyc6BKtWrWLkyJGUhrrF2ZS2l4AhGNUvNeENWQe8\noYhNbVPoTK7d9e261PrcukPu516Ib++Rd2vMZxtRVWLDVGWkwTOdTWiCs3SDHmfz0m981GeDes2w\n2SqjOuwqxdE8T/+e1TMl7rf02TsqqHvjnfcI98zhvy0v+bvy8V+5ElVSUhKvv/46oVCI13ckmEeC\nytLEtpXqWTQahlCOdUupRwQs5kIHDMHiK4a46XBdu/fitfxyxmal+QiUseaf2iVAY2uESWI/04y9\npI6+isHzfgAn1nvY8Da+qDzzkijz3o7ZaaO3rY4ct9sObqqbXSBZzS7RJa6qPVHW/uCZYCZHW4Tz\n/6reT5jRhSVtqN4Ha3/PPzXu4oGkDay0LuN31iIMQ3DHZdmu8f9xzX7agqm0XP6PmMKv9NmJ88eq\nVaswTZNrrrkGDi4nYUAircRSAT4IFSiPWagClvZm2RhBKN+ihMKESNBqKlWHX7+Jyok63Rix79Qn\nNYnaxpD7+KyRffnZ9WM4WNPkdjqpTL2T0BfqhrVkfi5Llhck3LCA3rGr4ZimoSaQr9h1DNuWBEzB\n3spGdh9tIMnDHfAOTwwGDFKTA9zx9AaXf+N8K17eUkZuVhoFFQ3sKPM7b6+95xkH4JN/ZtWRJJIM\nm9kZDVGyaCcuCEePHmX37t388Ic/ZNzQ3gRN4WoaeXWQIraM8+29ugapaw5HBRT+3ny7m8GBM24y\n9ONeNeMNf1LzqQrfUP8OJEfLTlZIrevz9O+3nKhmRtJqKu10nrHms4OR3Dklx11DT35czP4DxZiN\nVbSMuj6OWP1l4ysX4FiWhWmaJCcnUxijUKnnqSUymxvHZ/H8hlLawko2e/EVQ9y2VB3Bu3V5U3DV\nqAwyUpM52RaJ8m6kqtl7HWTE8k9MfmzhWG6dNJBXtpS5A/pOOQvgxaQnCBLBOLQcVu+DGi+5TEbL\nUHYkKrJmJ9A0iD0e1N9Hz1cs+sEzPSlQK561f8/bSt8k/4Xoe8SmSne/AkAfoLcB3xOqpvw7a5G7\nRO9+biNtISWIZpgmwcCXr2z5VYCUklWrVjFlyhTS09OVqJcP+gq0E6gIAVZE/TnqOtVemj1FOUEt\nRWCF1a5y+g8VT+fYLji6HZVG9+w4wWOXYTW1XNpuy/mtk0ZwYOsaLmMvG+0x7Gwa5WN/fbr/OL95\nby+HjkdJ/JKoorBlKYeJ57HEvwkuJyNiS1bsOsZjC8dS1xyior7F1emI7cjykqHbC6AiNvzyzd0J\nV5mei5VnHIAXFiDDbWyozmZGRjPduzhaQZ24YLhyCPPmkZWV7hvFYMuob4+FIeCn3xjtEsn/bnx7\nY6UTVOjNqQ5YPL7d8syKOh3siApu9GDdDvTv/YF+BkwQcLW5nTtDv0KgJFN0R1jXsg0kI4hk5hIM\nfLnDNWPxlQpwampquOuuu3jkkUeYNWtWfA1UQo8uAU62+gm5AqWYqneJtpQ8v6GUubn9fGRJ74LQ\nkb3pzBYxUNNUl8zPpbCigVe3HlHOTwjXadpS8os3dzNlcLpvRUpgmrGXIBECwkkRetsCY2EElBFX\n7QHsdg5yyJ/eIEez6EvXQuvJeNa+hm5Jb6+0Ef9JSOBacwu/sxZRcLRBdcdEbMz6I/TYtYyhN/6A\nn9/9jb+byP7/ZZSXl1NTU8PixYudRxJU+7v0hNb6+BdP+rbqotOaG8UfqgAHog5wwqKo8B84XRc6\nsyPUDvHa3yhnmtI7ulOUEtADOdvgzYfIGzqbpcH/QkiLMAHuDv2CbYx0TycUsRMSjzVMUznMosrG\n07p6QwCeXbYtJYUVDWT1TCE1OeDryPI6YL2+n/y4uN3skPOLJsQksZ8rqz6FnSGwQghhs/TKck5m\nXQHzH+nM3nQQdu7cyfjx48nKaoc7084FmjMm09Uwu9i+/Zdv7mbhxCwk7ft2abV2gG9P9APYaqOT\n5nQ2xXbcXqB/R0BAWkwz9nKgcabKzDvk/JbsacyZczUjBuf49X3+DvCVCnA+/PBD6urqyM5WtXQ9\nV8qLQIICfnLQcNv4bCnjdnoaXmfokhidXWPAECyZn+tq4mhiY2pyIM6BJ5qYvNEeg4WBie3Q2NqD\nUCJs2kgTCos7x+VMhSNbVIRvJqkbm9si6CweYaqbVawjHjxT3cgiLac5FwX96e9bSgZzV3kDBRUn\nMQR0qS5AWGF+fMvMvyvD/38Z2dnZbomqXY6HkWBpB1KUDexd7qm3h+LLKDrQAVWf95athFD2oufc\nlK5V/67c4ewIPZ/ndG0F0PF8hGnGXrZZIzkbCJSwpubLxLatej9q0qB08nLSeW7dIWyppB70rCh9\nnClgyfzchHY4bWhvAoY4bZATC70z71IZhipN5jZJTk6ib2dw06H4wx/+QEODysjnH66j6mRr3DGx\nNmEImD0qgyc/LqaivuWi+3YJPn0mDde3S/uMnM72fbvDz3G7ZQUMvQpKP1Pr2AjC9r8puoLhUBHs\nSMf5dwkRTLYwhu1F1VjOujKAYNDk21df+nfp379SAc7q1avJyhnMysM26cfLeGxFYdwxt0/O5rl1\nJURs5fDunJJDblaam8LUTHfvTi9WfXLa0N4ETH8LnW1LCioa+OWbu5UOgi199f72YBoAgh32SN6Q\ns7lTfEh8wOIw4XXqf8Ii9fDgmTFG74WjW2IGYfJ96sa2/a/xHAtpqZtTLHQqM5FUOPhqtiK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0i1Ltt1Upycip3WurU5Pd6uWaLlImxICfFJ+IOeS/PvTYYgvzqBsd1VqflKRqsPcFYXngLgxp61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\ni4JgI2Om0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LXQDRgD59B1x++BzU6XVWxoam3tWIAz7iESQledjyc9uidC8+t6eId5Zj2s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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fb010136eb8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, axes = plt.subplots(3, 3, figsize=plt.figaspect(1) * 2)\n",
"\n",
"# extrem points to look at\n",
"look_at = [[b, b + .5* a, a+b],\n",
" [.5*b, .5*(a+b), a + .5 * b],\n",
" [0 * b, .5*a, a]]\n",
"\n",
"for i, j in itertools.product(range(3), repeat=2):\n",
" ax = axes[i, j]\n",
"\n",
" middle = look_at[i][j]\n",
"\n",
" d_images = triclinic_dist(middle, points, box)\n",
" d_mda = triclinic_mda(middle, points, box)\n",
" idx = d_images < .5 * b[1]\n",
" \n",
" ax.plot(cell[0], cell[1], linestyle='--', color='#333333')\n",
"\n",
" ax.scatter(points[idx, 0], points[idx, 1], marker='.')\n",
" ax.scatter(points[~idx, 0], points[~idx, 1], marker='.')\n",
" ax.scatter(middle[0], middle[1], color=RED)\n",
" ax.set(xticks=[], yticks=[])\n",
"\n",
"fig.tight_layout()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Even though we only show the effect of the approximation here in two dimensions. It still holds for three dimensional space as well."
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {},
"outputs": [],
"source": [
"box = mda.lib.mdamath.triclinic_vectors([2, 2, 2, 60, 60, 60])\n",
"a, b, c = box"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The maximum distance in three dimensions is"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"0.81649661"
]
},
"execution_count": 17,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"max_dist = np.min(.5 * np.diag(box))\n",
"max_dist"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {},
"outputs": [],
"source": [
"points = gen_points(box, num=2000)\n",
"middle = .5 * (a + b + c)\n",
"d_images = triclinic_dist(middle, points, box)\n",
"d_mda = triclinic_mda(middle, points, box)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Here as well up to `max_dist` the distances calculated by MDAnalysis are correct."
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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emrR99+7dQZhlZIFMp0iAU5tXRL4sInOITQMwjISkE5cbJ1akFBejsMl0mXo8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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fb00c9775f8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots(figsize=plt.figaspect(1))\n",
"ax.plot(d_images, d_mda, '.')\n",
"ax.axvline(max_dist, linestyle='--', color='#333333')\n",
"ax.set(xlabel='image search', ylabel='MDAnalysis')\n",
"fig.tight_layout()"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python [default]",
"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": "3.6.2"
},
"toc": {
"nav_menu": {},
"number_sections": true,
"sideBar": true,
"skip_h1_title": false,
"toc_cell": false,
"toc_position": {},
"toc_section_display": "block",
"toc_window_display": false
}
},
"nbformat": 4,
"nbformat_minor": 2
}
@orbeckst
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See related discussion in MDAnalysis/mdanalysis#1475

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