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@cjordan
Created October 17, 2019 21:43
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ERFA vs rust's astro crate
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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"import numpy as np\n",
"import matplotlib.pyplot as plt"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"def erfa_ae2hd(az, el, phi):\n",
" sa = np.sin(az);\n",
" ca = np.cos(az);\n",
" se = np.sin(el);\n",
" ce = np.cos(el);\n",
" sp = np.sin(phi);\n",
" cp = np.cos(phi);\n",
"\n",
" #/* HA,Dec unit vector. */\n",
" x = - ca*ce*sp + se*cp;\n",
" y = - sa*ce;\n",
" z = ca*ce*cp + se*sp;\n",
"\n",
" #/* To spherical. */\n",
" r = np.sqrt(x*x + y*y);\n",
"# if r != 0.0:\n",
"# ha = np.arctan2(y, x)\n",
"# else:\n",
"# ha = 0.0\n",
" # Hack to allow this function to be vectorised.\n",
" ha = np.arctan2(y, x)\n",
" w = np.where(r == 0.0)\n",
" if w[0]:\n",
" ha[np.where(r == 0.0)] = 0.0\n",
"\n",
" dec = np.arctan2(z,r);\n",
" \n",
" return (ha, dec)"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"def astro_hd_frm_hz(az, alt, lat):\n",
" ha = np.arctan2(np.sin(az), np.cos(az) * np.sin(lat) + np.tan(alt) * np.cos(lat))\n",
" dec = np.arcsin(np.sin(lat) * np.sin(alt) - np.cos(lat) * np.cos(az) * np.cos(az))\n",
" return (ha, dec)"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [],
"source": [
"# Instead of cos^2(az), cos(az) * cos(alt). This seems better.\n",
"def astro_hd_frm_hz2(az, alt, lat):\n",
" ha = np.arctan2(np.sin(az), np.cos(az) * np.sin(lat) + np.tan(alt) * np.cos(lat))\n",
" dec = np.arcsin(np.sin(lat) * np.sin(alt) - np.cos(lat) * np.cos(az) * np.cos(alt))\n",
" return (ha, dec)"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [],
"source": [
"# Re-arrange the signs. This seems correct.\n",
"def astro_hd_frm_hz3(az, alt, lat):\n",
" ha = np.arctan2(-np.sin(az), np.cos(az) * np.sin(lat) + np.tan(alt) * np.cos(lat))\n",
" dec = np.arcsin(np.sin(lat) * np.sin(alt) + np.cos(lat) * np.cos(az) * np.cos(alt))\n",
" return (ha, dec)"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/usr/lib/python3.7/site-packages/ipykernel_launcher.py:22: DeprecationWarning: The truth value of an empty array is ambiguous. Returning False, but in future this will result in an error. Use `array.size > 0` to check that an array is not empty.\n"
]
},
{
"data": {
"text/plain": [
"(-0.4636476090008061, 0.6590580358264091)"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"erfa_ae2hd(np.pi/6, np.pi/4, 0)"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(0.4636476090008061, -0.8480620789814812)"
]
},
"execution_count": 7,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"astro_hd_frm_hz(np.pi/6, np.pi/4, 0)"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(0.4636476090008061, -0.6590580358264091)"
]
},
"execution_count": 8,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"astro_hd_frm_hz2(np.pi/6, np.pi/4, 0)"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(-0.4636476090008061, 0.6590580358264091)"
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"astro_hd_frm_hz3(np.pi/6, np.pi/4, 0)"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/usr/lib/python3.7/site-packages/ipykernel_launcher.py:22: DeprecationWarning: The truth value of an empty array is ambiguous. Returning False, but in future this will result in an error. Use `array.size > 0` to check that an array is not empty.\n"
]
},
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x7f67c8e4a390>]"
]
},
"execution_count": 10,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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\n",
"text/plain": [
"<Figure size 720x1080 with 6 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"n = 1000\n",
"az = np.linspace(-np.pi, np.pi, n)\n",
"alt = np.ones_like(az) * np.pi / 4\n",
"lat = np.zeros_like(az)\n",
"\n",
"_, ax = plt.subplots(3, 2, figsize=(10, 15))\n",
"\n",
"eh, ed = erfa_ae2hd(az, alt, lat)\n",
"ah, ad = astro_hd_frm_hz3(az, alt, lat)\n",
"\n",
"ax[0, 0].plot(az, eh)\n",
"ax[0, 1].plot(az, ed)\n",
"ax[1, 0].plot(az, ah)\n",
"ax[1, 1].plot(az, ad)\n",
"ax[2, 0].plot(az, eh-ah)\n",
"ax[2, 1].plot(az, ed-ad)"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/usr/lib/python3.7/site-packages/ipykernel_launcher.py:22: DeprecationWarning: The truth value of an empty array is ambiguous. Returning False, but in future this will result in an error. Use `array.size > 0` to check that an array is not empty.\n"
]
},
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x7f67c8d0a890>]"
]
},
"execution_count": 11,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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CggO5tkUC17ZIIPPoaT5P38nYRTt56JOlREeEcEObWgxul0y92MpOh2p8y0RgCPC863lC/gKSu/3De8Da/ElYRd4vt1bVSnx6b0demraBN2duZvH2w7xxaxtS4yKdDs0Yv2I9YqbcyslR5mw6wNhFO/hudSbZrl6yuy6vw5WNathYMj9TRj1iMcBnQDKwAxikqofy7pcrIp2B2cBKcpevANcyFZeyX255bL9+3LCf33+6jBNns3l2QDMGXZZo25cZk4fdmjQV3v5jZ/h88U4+nLedjKzTJEeHM6RTCoPSEqkSFux0eMYNtrK+b8s8epqHxy5j3paDXNcqgb8ObE7lULvpYgxYImbMRdnnc5i6OpP/zt1K+vbDRIQEMigtiTs7pdjgfh9niZjvO5+jvP79JkbO2EDtmAhev7U1TROinA7LGMcV1X7ZfhWmQgkKDOCaFvF8cX8nvh7Wmaub1uSjBdu58sWZDPt4CWsyjjodojF+KzBAGNEzlY/v6cDJs9kM/M9PfDBvG/74hd8Yb/EoERORF0RknYisEJHxIlK1kHK9RWS9iGxyrV594Xi0iEwTkY2u50LX7zGmtDVPjOKlm1sx94krGdq1HjPX76fvq7O5678LSd92yOnwjPFbHerGMHl4FzrVi+HPE1Zz/4dLyDp1zumwjPFJnvaITSN3YcMWwAbgqfwFRCQQeAPoAzQBbhGRJq7TTwIzVDUVmOF6b4xX1agSxpN9GjH3iSt5tFcDlu/K4sa35nHTW/OYtWG/fZs35hLEVA5l9JC2PNWnEdPXZnLNq7NZuqPItW6NqZA8SsRU9TtVzXa9nQ8kFlCsHbBJVbeo6llgLDDAdW4AMMb1egxwnSfxGOOJqPBgHuqRypwnuvOXfk3Yefgkd4xeyM1vz2fhVushM6akAgKEe7vV47P7OqIKg96ax6hZm8nJsS83xlxQmmPE7gamFHC8FrAzz/tdrmMAcRemeruea5RiPMZckvCQIO66vA4/Ptad5wY0ZdvBE9z09jzuGL2QFbuOOB2eMX6nTXI1Jg/vQo/GNfj75HX8dswiDp0463RYxviEYhMxEZkuIqsKeAzIU+ZpIBv4qKBLFHCsxF+HRGSoiKSLSPr+/ftLWt2YEgsJCuD2jin8+Fh3/ti3ESt3HaH/63O593/pbNp33OnwjPErUeHBvPWby3h2QFPmbjpIn5GzWLDloNNhGeO4YhMxVe2pqs0KeEwAEJEhwLXAbVrwYJpdQFKe94lAhut1pmtbEVzP+4qIY5SqpqlqWmxsrHu/nTGloFJIIEO71mPW4915pGcD5m46SO9XZvHMxNUcOWnf6o1xl4hwR8cUxj3QiUrBgdzyznxenbGR83ar0lRgns6a7A08AfRX1ZOFFFsEpIpIHREJAQaTu60I/Ly9CBSyvYgxviIyLJgRPVOZ+dgV3NQ2iQ/mbaPbCzMZPWcr587nFFvfGJOrWa0oJg3vQr+WCbw0bQO3v7eAfUdPOx2WMY7wdIzY60AkME1ElonIWwAikiAikwFcg/mHAVOBtcBnqrraVf95oJeIbAR6ud4b49OqVw7l7wObM3lEF5rXiuLZSWu4+uVZ/LC+0A5dY0w+lUODeOXmVvzrhhYs2XGYvq/OZtYGG3ZiKh5bWd8YD6gq36/bx9++WcuWAyfo27wmf+nXlLgqYU6HVu7Yyvrl14bMYwz7eAkbMo9z/xX1+H2vBgQH2nrjpvywlfWNKSMiQo/GcUx5uAt/uKoBM9buo8eLP/L+3K027sUYNzWIi2TCg50Z3DaJN2duZvCo+ew+csrpsIzxCkvEjCkFoUGBDLsyle8e6Urr5Ko88/UarntjLqszspwOzRi/UCkkkOdvaMHIwa1Yt+cofUfOZtqaTKfDMqbMWSJmTCmqHRPBB3e347VbWrP36GkGvD6XV6ZvsMH8xrhpQKtaTBrehcRqlbjng3SembiaM9nnnQ7LmDJjiZgxpUxE6NcygWmPdOWaFvG8Mn0jA/8zl/V7jzkdmjF+oU71CMY90Ik7O6Xw/k/buP4/P7Flv63dZ8onS8SMKSNVw0MYObg1b/2mDXuOnKbfa3P4z8xNNnbMGDeEBgXyTP+mvHNHGruPnOLa1+bw5eJdTodlTKmzRMyYMta7WTzfPdKVnk1q8K9v1/ObdxeQaWsmGeOWXk3imDKiC81qRfHo58t55NNlHD+TXXxFY/yEJWLGeEFM5VDeuLUNL9zYgmU7j9Bn5Gx+WGfrjhnjjvioSnxyTwce7pnKhGW7ufbV2azcZRNhTPlgiZgxXiIiDEpL4uuHOlMjMpS73l/EXyet4Wy2DeQ3pjiBAcLDPRvwyT0dOH0uh+vfnMu7s7fgj2thGpOXJWLGeFn9GpX56sHLuaNjbd6ds5XBo+bZrUpj3NS+bgxTRnShW4Ma/PWbtdz9/iIOHj/jdFjGXDJLxIxxQFhwIM8OaMYbt7Zh3d5jXPvaHBZvP+R0WBWOiESLyDQR2eh6rlZIuW0istK1lVt6Seub0lUtIoR37riM/9e/KXM3HaTPyNn8tPmA02EZc0ksETPGQde0iGf8A5cTHhLI4FHz+WjBdqdDqmieBGaoaioww/W+MN1VtVW+bUpKUt+UIhFhSKcUxj/YicphQdz27gL+PXU92bZmn/EzlogZ47CGNSOZ+GBnOtWrztPjV/H0+JX2PxPvGQCMcb0eA1zn5frGQ00Tovh6WGduaJPI6z9ssu2RjN+xRMwYHxAVHszoO9tyX7d6fLRgB78dk25T9L0jTlX3ALieaxRSToHvRGSxiAwtaX0RGSoi6SKSvn///lIM3wBEhAbx70Etc7dH2nuMPq/M4ttVe5wOyxi3WCJmjI8IDBCe7NOIf1zfnDmbDjDorXnszbJB/J4SkekisqqAx4ASXOZyVW0D9AEeFJGuJYlBVUepapqqpsXGxpYofuO+Aa1q8c3wzqRUj+C+D5fwf1+t5PQ52x7J+DZLxIzxMbe0S2b0nW3Zeegk170xlzUZR50Oya+pak9VbVbAYwKQKSLxAK7nAhd3U9UM1/M+YDzQznXKrfrGe2rHRPDFfZ24p0sdPpy/g+vemMvGTNtezPgujxIxEXlBRNaJyAoRGS8iVQsokyQiP4jIWhFZLSIj8px7RkR2u2YiLRORvp7EY0x50a1BLJ/d2xGAm9+ex6JtNqOyjEwEhrheDwEm5C8gIhEiEnnhNXAVsMrd+sb7QoICePqaJvz3rrbsP3aGfq/PYezCHbbmmPFJnvaITQOaqWoLYAPwVAFlsoFHVbUx0IHcbv0mec6/7JqJ1EpVJ3sYjzHlRpOEKox7oBOxkaHc/t4CftxgY4vKwPNALxHZCPRyvUdEEkTkQnsUB8wRkeXAQuAbVf22qPrGN3RvWIMpI7pwWe1qPDluJcM+WcrR0+ecDsuYX/AoEVPV71T1woji+UBiAWX2qOoS1+tjwFqglic/15iKIqFqJT67ryN1q1fmd2MW2QDkUqaqB1W1h6qmup4PuY5nqGpf1+stqtrS9Wiqqn8rrr7xHTWqhPHB3e157OqGfLtqL9e8OpulOw47HZYxF5XmGLG7gSlFFRCRFKA1sCDP4WGuW5uji1oM0WYdmYqqeuVQPhnagea1onjgoyWMW7LL6ZCM8SuBAcKD3evz2b0dyMmBQW/N482Zm8nJsVuVxnnFJmLuzDgSkafJvQX5URHXqQx8CTysqhdGH78J1ANaAXuAFwurb7OOTEUWVSmY//22PR3rxfDo58v5aulup0Myxu9cVjuaySO6cFXTOP757TqG/Hch+47ZzGTjrGITsWJmHCEiQ4Brgdu0kJGQIhJMbhL2kaqOy3PtTFU9r6o5wDv8PBPJGJNPRGgQ797Rlg51Yvj9Z8uYtCLD6ZCM8TtRlYJ549Y2/H1gcxZuPUTfkbOZZeMvjYM8nTXZG3gC6K+qJwspI8B7wFpVfSnfufg8bwfy80wkY0wBKoUE8t6daaTVjmbE2GV8u2qv0yEZ43dEhFvbJzNxWGeqhYdwx+iF/GPKWs7ZjhbGAZ6OEXsdiASmuZafeAt+NePocuB24MoClqn4l2sj3RVAd+ARD+MxptwLDwli9F1taZkYxbCPlzBjbabTIRnjlxrWjGTisM7c0i6Zt3/cwo1vzWPHwQL7FIwpM+KP66qkpaVpenq602EY46ijp8/xm3cXsH7vMT76XXvSUqKdDqlMicjifBtu+yVrv3zTNyv28OS4FaDw9+ub069lgtMhmXKkqPbLVtY3xk9VCQvmv3e2JaFqJX47Jp0Ntnq4MZfsmhbxTB7ehdS4yjz0yVKe+GIFJ8/afq+m7FkiZowfi6kcygd3tyMkKIAhoxeSceSU0yEZ47eSosP59N6OPHBFPT5bvJNrX53Dqt1ZTodlyjlLxIzxc0nR4Yy5qx3HT2dzx+iFHDl51umQjPFbwYEBPN67ER/9rj0nz55n4H/m8s6sLbbmmCkzlogZUw40SajCqDvS2HHwJA98tMRmfxnjoU71qjNlRBe6N6zB3yavtTXHTJmxRMyYcqJjvRj+cX1zftp8kGcmrrYNjo3xULWIEN6+/TL+NrAZi7Ydos8rs/l+nc1SNqXLEjFjypEbLkvk3m51+WjBDj6Yt93pcIzxeyLCbe1r8/WwzsRGhnL3++k8M3E1p8+ddzo0U05YImZMOfP41Y3o2TiO//f1alsx3JhSkhoXyVcPXs5dl6fw/k/buO6NuTZT2ZQKS8SMKWcCA4RXBreiQVwkD368hO0HTzgdkjHlQlhwIH/p15T/3tmW/cfO0O+1Ofxv/nYbBmA8YomYMeVQ5dAg3rkjjQAR7vtwid1GMaYUdW9UgykPd6F93Rj+9NUq7vlgMYdO2Gxlc2ksETOmnEqKDuflm1uyds9R/vSVbeNqTGmqERnG+3e25f+uacyPG/bRZ+Qsftp0wOmwjB+yRMyYcuzKRnE8dGV9Pl+8i08X7XA6HGPKlYAA4Xdd6jL+gcuJCA3itvcW8PyUdZzNtuVjjPssETOmnHu4ZwM616/OnyastlXCjSkDzWpFMemhzgxum8xbP27mxrd+YusBG5tp3GOJmDHlXGCAMHJwK2IiQnjw4yWcOGP75xlT2sJDgvjH9c1587Y2bD94kmtenc0Xi3fZQH5TLEvEjKkAYiqH8srNrdh56CTPTFztdDg+Q0SiRWSaiGx0PVcroExDEVmW53FURB52nXtGRHbnOdfX+7+F8SV9msczZUQXmteK4g+fL2f42GVknTrndFjGh3mUiInICyKyTkRWiMh4EalaSLltIrLS1VCl5zlebCNojCkd7evG8MAVuePFvlmxx+lwfMWTwAxVTQVmuN7/gqquV9VWqtoKuAw4CYzPU+TlC+dVdbJXojY+LaFqJT6+pwN/uKoBk1fuoe/I2SzefsjpsIyP8rRHbBrQTFVbABuAp4oo293VUKXlOVZsI2iMKT0jeqbSMqkqT41bQcaRU06H4wsGAGNcr8cA1xVTvgewWVVt2wJTpMAAYdiVqXx+X0cCAuCmt+czcvpGsm0fWJOPR4mYqn6nqhcGnMwHEkt4iZI2gsYYDwQHBjDy5lacz1Ee+XQZ53Mq/PiVOFXdA+B6rlFM+cHAJ/mODXPdFRhtvfomvzbJ1Zg8vAv9WsTz8vQN3PLOfHYeOul0WMaHlOYYsbuBKYWcU+A7EVksIkPzHHe7ERSRoSKSLiLp+/fbti3GXKqU6hE8078pC7Ye4t3ZW5wOp8yJyHQRWVXAY0AJrxMC9Ac+z3P4TaAe0ArYA7xYSF1rvyqwyLBgXhnc2rWu3zH6jJzNuCU2kN/kKjYRc6cRE5GngWzgo0Iuc7mqtgH6AA+KSNeSBqqqo1Q1TVXTYmNjS1rdGJPHjZclcnXTOF6ctoFN+447HU6ZUtWeqtqsgMcEIFNE4gFcz/uKuFQfYImqZua5dqaqnlfVHOAdoF0hMVj7ZRjYOpEpI7rQOD6S33+2nGGfLCXrpA3kr+iKTcSKacQQkSHAtcBtWkh6r6oZrud95A5yvdBYlaQRNMaUEhHhueuaER4SyONfLK/ItygnAkNcr4cAE4ooewv5bkteaL9cBgK2hYEpUlJ0OGOHduSxqxsyddVeetuK/BWep7MmewNPAP1VtQBzLQQAACAASURBVMCb3iISISKRF14DV/FzY1WSRtAYU4pqRIbxl35NWLLjCP+du9XpcJzyPNBLRDYCvVzvEZEEEbk4A1JEwl3nx+Wr/y/XjPAVQHfgEe+EbfxZYIDwYPf6jHugE5WCA7ntvQX8ffJazmTbnrAVkXhyj1pENgGhwEHXofmqep+IJADvqmpfEanLz1O9g4CPVfVvrvoxwGdAMrADGKSqxc7xTUtL0/T09OKKGWOKoar8bkw6czYd4NuHu1KneoTTIRVKRBbnm3Xtl6z9MnmdPJvN375Zy0cLdtCoZiSv3tKaBnGRTodlSllR7ZdHiZhTrCEzpvRkHj1Nr5d+pGHNSD4d2pGAAHE6pAJZImbKsxlrM3n8ixUcO5PNU30aMaRjis/+WzQlV1T7ZSvrG1PBxVUJ40/XNmHRtsOMXbTT6XCMqZB6NI7j24e70rl+df7f12u48/1FZB497XRYxgssETPGcONlibSvE80/v13HgeNnnA7HmAopNjKU94ak8dfrmrFw60F6vzKLb1ftdTosU8YsETPGICL8bWAzTp7N5u+T1zodjjEVlojwmw61mfRQF2pVq8R9Hy7m8S+Wc+JMdvGVjV+yRMwYA0D9GpEM7VqXcUt2M2/zweIrGGPKTP0alRl3/+U8cEU9Pl+8i76vzmbJjsNOh2XKgCVixpiLhnVPJSm6Ev/31UrOZtueeMY4KSQogMd7N+LToR3JPq8MemseL0/bYPtVljOWiBljLqoUEsiz/Zuxef8J3qkA2x8Z4w/a1YlmysNd6N8ygZEzNnLjW/PYeuCE02GZUmKJmDHmF7o3qkGfZjV57fuNZBw55XQ4xhigSlgwL9/cildvac2W/cfpO3I2/5u3zfarLAcsETPG/Mof+zYmR+Gf365zOhRjTB79Wybw3SPdSEupxp8mrOaO0QvZk2VfmPyZJWLGmF9Jig5naJe6TFiWweLtxW52YYzxoppRYXxwdzueu64Z6dsOc9XLs/hq6W7rHfNTlogZYwp0/xX1iKsSyv/7eg05FXdTcGN8kohwe4faTBnRhQZxkTz86TIe+GgJh06cdTo0U0KWiBljChQRGsQTvRuxYlcW45budjocY0wBUqpH8Nm9HXmidyOmr83kqpdnMX1NptNhmRKwRMwYU6jrWtWiZVJV/vXtOo7bgpLG+KTAAOH+K+oxcVhnqlcO4XcfpPP4F8s5dvqc06EZN1giZowpVECA8Jd+Tdh37AxvzdzsdDjGmCI0jq/CxGGdebB7Pb5YvIver8y2xZn9gCVixpgitUmuRr+WCbw7Zwv7bBNiY3xaSFAAj13diM/v60RwoHDLO/N5btIaTp8773RophAeJWIi8oKIrBORFSIyXkSqFlCmoYgsy/M4KiIPu849IyK785zr60k8xpiy8YerGnA+R3l5+kanQzHGuOGy2tWYPKILt3eozXtztnLta3NYseuI02GZAnjaIzYNaKaqLYANwFP5C6jqelVtpaqtgMuAk8D4PEVevnBeVSd7GI8xpgzUjongtva1+Sx9J5v2HXc6HGOMG8JDgnjuumZ8cHc7jp/OZuB/fuKl79bb9mU+xqNETFW/U9ULI3jnA4nFVOkBbFbV7Z78XGOM9z10ZX0qBQfywlRb5NUYf9K1QSxTH+7KgFYJvPr9Jvq/PoeVu7KcDsu4lOYYsbuBKcWUGQx8ku/YMNetzdEiUq0U4zHGlKKYyqEM7VqXqaszWbz9sNPhGGNKICo8mJduasXoO9M4fPIs1/1nLi9MXceZbBs75rRiEzERmS4iqwp4DMhT5mkgG/ioiOuEAP2Bz/McfhOoB7QC9gAvFlF/qIiki0j6/v37i/3FjDGl73dd6lC9cijPT1lrq3gb44eubBTHd4904/rWtXjjh830e20Oy3fa2DEnFZuIqWpPVW1WwGMCgIgMAa4FbtOiW+Y+wBJVvbjSnKpmqup5Vc0B3gHaFRHHKFVNU9W02NhYd38/Y0wpCg8J4uGeqSzadpgZa/c5HY7HRGSQiKwWkRwRSSuiXG8RWS8im0TkyTzHo0VkmohsdD1br77xeVGVgnlhUEv+e1dbjp7KZuB/5vLPb9fZzEqHeDprsjfwBNBfVU8WU/wW8t2WFJH4PG8HAqs8iccYU/ZubptESkw4L07bUB62PloFXA/MKqyAiAQCb5D7ZbIJcIuINHGdfhKYoaqpwAzXe2P8QveGNfju9125KS2JN2du5trX5rB0hw078DZPx4i9DkQC01zLT7wFICIJInJxBqSIhAO9gHH56v9LRFaKyAqgO/CIh/EYY8pYcGAAw3uksnbPUaau3ut0OB5R1bWqur6YYu2ATaq6RVXPAmOBC0MzBgBjXK/HANeVTaTGlI0qYcE8f0MLxtzdjpNnsrnhzZ/4x+S11jvmRZ7Omqyvqkl5lp+4z3U8Q1X75il3UlVjVDUrX/3bVbW5qrZQ1f6quseTeIwx3jGgVS3qxkbw8vRy0StWnFrAzjzvd7mOAcRdaLdczzW8HJsxpaJbg1imPtKVm9sm8/asLfR9dTaLtx9yOqwKwVbWN8aUWGCA8HDPBmzIPM6klb79/cmdCUfFXaKAYyXKPm2ykfEHkWHB/OP65nz42/acOZfDjW/N488TVtmelWXMEjFjzCW5tnk8DeIq88r0DZz34V6x4iYcuWEXkJTnfSKQ4XqdeWGsq+u5wBkMNtnI+JPOqdWZ+khXhnRM4X/zt9PrpVlMW5NZfEVzSSwRM8ZckoAA4ZGeDdiy/wQTlu12OpyytAhIFZE6rmV4BgMTXecmAkNcr4cA7iZ3xvi0yqFBPNO/KePu70TV8GDu+SCdBz5abPvNlgFLxIwxl+zqpjVpEl+FkTM2kn3e/7ZNEZGBIrIL6Ah8IyJTXccvTjhy7R4yDJgKrAU+U9XVrks8D/QSkY3kTkh63tu/gzFlqXVyNb5+qDOPXd2Q6Wv30eOlH/lk4Y6KMDbUaywRM8ZcsoAA4ZFeDdh+8CTjlvhfr5iqjlfVRFUNVdU4Vb3adTz/hKPJqtpAVeup6t/yHD+oqj1UNdX1bKObTbkTHBjAg93r8+2ILjRNqMJT41Yy+J35bN5v+86WBkvEjDEe6dm4Bi0So3jth42c88NeMWOMe+rGVuaTezrwzxuas27PUfq8MptXZ2y0TcQ9ZImYMcYjIsLwK1PZeegUE5dlFF/BGOO3RISb2yYz/dFu9Goax0vTNtD31dn8tPmA06H5LUvEjDEe69G4Bo3jq/DGzE0+PYPSGFM6akSG8catbRh9Zxpnss9z6zsLGDF2qQ3mvwSWiBljPCYiDOteny37TzBllW+vK2aMKT1XNopj2iPdGN4jlSkr99LjxR8ZPWerX07ecYolYsaYUtG7WU3qxUbw+vebbEaVMRVIWHAgv+/VgKmPdKV17Wo8O2kN/V6fayvzu8kSMWNMqQgMEB7sXp91e48xY12B65oaY8qxOtUjGHNXW968rQ1HTp7lhjfn8djnyzl4/IzTofk0S8SMMaWmf8sEkqIr8fr3G1G1XjFjKhoRoU/zeKb/vhv3dq3L+KW76f7vmYyes9VmVRfCEjFjTKkJCgzggSvqs3xXFrM32iwqYyqqiNAgnurbmCkjutAyqSrPTlrD1a/M4vt1mfYlLR9LxIwxper6NrWIjwrj9e83OR2KMcZhqXGRfHB3O0bfmQYKd7+fzh2jF7Ix85jTofkMjxIxEXlORFaIyDIR+U5EEgop11tE1ovIJhF5Ms/xaBGZJiIbXc/VPInHGOO80KBA7utWj4XbDrFgy0GnwzHGOExEuLJRHN8+3JU/XduE5TuP0HvkbP4yYRWHT5x1OjzHedoj9oKqtlDVVsAk4M/5C4hIIPAG0AdoAtwiIk1cp58EZqhqKjDD9d4Y4+dubptE9cqhvP6D9YoZY3KFBAXw2851mPlYd25rn8yHC3bQ7YUf+M/MTZw6e97p8BzjUSKmqkfzvI0ACrrx2w7YpKpbVPUsMBYY4Do3ABjjej0GuM6TeIwxviEsOJB7utRh9sYDrNyV5XQ4xhgfEh0RwrMDmjFlRBfapkTzr2/X0+2FH/howfYKOaDf4zFiIvI3EdkJ3EYBPWJALWBnnve7XMcA4lR1D4DruYan8RhjfMOt7ZOJDAvirR83Ox2KMcYHNYiL5L072/L5fR1Jig7n6fGruOrlWUxakVGh1iIsNhETkekisqqAxwAAVX1aVZOAj4BhBV2igGMl/guLyFARSReR9P3795e0ujHGyyLDgrm9Q22mrNrD1gMnnA7HGOOj2qZE88V9HXn3jjSCA4VhHy9lwBtz+WHdvgoxw7LYRExVe6pqswIeE/IV/Ri4oYBL7AKS8rxPBC7sDJwpIvEArudCV4FU1VGqmqaqabGxscWFbYzxAXddXoegwABGzdridCjGGB8mIvRsEseUEV15cVBLDp04y13vL6L/63P5bvXecp2QeTprMjXP2/7AugKKLQJSRaSOiIQAg4GJrnMTgSGu10OA/MmdMcaPxUaGMuiyRL5cvMs2AzbGFCswQLjhskR++MMV/POG5mSdOsfQ/y2mz8jZfLNiT7m8ZenpGLHnXbcpVwBXASMARCRBRCYDqGo2ubcspwJrgc9UdfWF+kAvEdkI9HK9N8aUI0O71iU7J4fRc7c5HYoxxk+EBAVwc9tkvn+0Gy/d1JKz53N48OMlXPXKLD5btJPT58rPLEvxx+6+tLQ0TU9PdzoMY4ybhn28hB/X72fuU1dSJSz4kq4hIotVNa2UQ/M6a7+MKbnzOcrklXt444dNrNt7jOqVQ/hNh9r8pkNtqlcOdTq8YhXVftnK+saYMndft3ocO5PNh/O3Ox2KMcYPBQYI/VomMGVEFz7+XXtaJFbllekb6fT89zz+xXK/XibHEjFjTJlrViuKLqnVGT1nm0/dUhCRQSKyWkRyRKTAb6sikiQiP4jIWlfZEXnOPSMiu127iywTkb7ei96YikdE6FS/OqPvbMuMR7txU1oiE5dn0O/1OVzz6mz+N28bWafOOR1miVgiZozxivuvqMeB42f4cskup0PJaxVwPTCriDLZwKOq2hjoADyYZ3cQgJdVtZXrMbkMYzXG5FEvtjJ/va45C/7Yk+cGNEUV/jRhNe3/Pp3ff7qMmev3+cUCsUFOB2CMqRg61o2hZWIUo2ZtYXDbZAIDClpi0LtUdS3kfssuoswe4MLC08dEZC25i1Kv8UaMxpiiRVUK5vaOKdzeMYWVu7IYu2gHE5dlMG7pbqqGB9O7aU2ubZFAh7rRBAX6Xv+TJWLGGK8QEe6/oh73fbiEKav2cG2LBKdDKjERSQFaAwvyHB4mIncA6eT2nB12IDRjDNA8MYrmic35c78mzNpwgEkrMvh6eQZjF+0kMiyIzvWr061BLN0axhIfVcnpcAFLxIwxXtSrSU3qVo/gzZmbuaZ5fJE9UaVFRKYDNQs49XQBC1MXdZ3KwJfAw3n22X0TeI7c3UKeA14E7i6g7lBgKEBycnKJ4jfGlFxoUCC9msTRq0kcp8+dZ+b6/cxcv4+Z6/czZdVeAOpWj6B1cjUuq12NNrWrkloj0pGeekvEjDFeExgg3NutLk98uZI5mw7QJbXsd8lQ1Z6eXkNEgslNwj5S1XF5rp2Zp8w7wKRCYhgFjILc5Ss8jccY476w4EB6N6tJ72Y1UVU2ZB7nxw37WLj1MD+s33dx3GpIUAB1q0eQGhdJ/djKJFQNI65KGDWjwoiJCCE8JIiw4IBS/wJpiZgxxquua12Ll6Zt4M2Zm72SiHlKclvd94C1qvpSvnPxrjFkAAPJHfxvjPFRIkLDmpE0rBnJ0K6gqmw/eJIlOw6zfu8xNu47zrKdh/l6eUah16gUHEhQoDDu/k6kxkV6HJMlYsYYrwoNCuTRXg05fiYbVfXK7cnCiMhA4DUgFvhGRJap6tUikgC8q6p9gcuB24GVIrLMVfWPrhmS/xKRVuTemtwG3Ov1X8IYc8lEhJTqEaRUj/jF8dPnzrPv6Bkyj51mb9ZpDh4/w6lzOZw6d55TZ7PJzlGiKl3a4tT5WSJmjPG6m9omOR0CAKo6HhhfwPEMoK/r9RygwGxRVW8v0wCNMY4ICw4kOSac5JjwMv9ZvjeP0xhjjDGmgrBEzBhjjDHGIZaIGWOMMcY4xBIxY4wxxhiHWCJmjDHGGOMQUfW/tQVFZD+w3c3i1YEDZRjOpbCY3ONrMflaPFCxYqqtqr6/8FgxSth+QcX6b3ypfC0esJjc4WvxgAPtl18mYiUhIumqmuZ0HHlZTO7xtZh8LR6wmCoCX/x7+lpMvhYPWEzu8LV4wJmY7NakMcYYY4xDLBEzxhhjjHFIRUjERjkdQAEsJvf4Wky+Fg9YTBWBL/49fS0mX4sHLCZ3+Fo84EBM5X6MmDHGGGOMr6oIPWLGGGOMMT7JrxMxEektIutFZJOIPFnAeRGRV13nV4hIG3frlmFMt7liWSEiP4lIyzzntonIShFZJiLpXornChHJcv3MZSLyZ3frlmFMj+WJZ5WInBeRaNe5svgbjRaRfSKyqpDzTnyOiovJq58jN2Py+mfJn1n7VWoxefVz52vtl+u6PtWGWftVQqrqlw8gENgM1AVCgOVAk3xl+gJTAAE6AAvcrVuGMXUCqrle97kQk+v9NqC6l/9GVwCTLqVuWcWUr3w/4Puy+hu5rtkVaAOsKuS8Vz9Hbsbktc9RCWLy6mfJnx/WfpVqTF773Pli++W6rk+1YdZ+lezhzz1i7YBNqrpFVc8CY4EB+coMAD7QXPOBqiIS72bdMolJVX9S1cOut/OBxFL4uZccTxnVLc3r3gJ8Ugo/t1CqOgs4VEQRb3+Oio3Jy58jt2IqQpn9nfyYtV+lFFMZ1S2ta5Z5+wW+14ZZ+1Uy/pyI1QJ25nm/y3XMnTLu1C2rmPL6LbnfUi5Q4DsRWSwiQ70YT0cRWS4iU0SkaQnrllVMiEg40Bv4Ms/h0v4bucPbn6OSKuvPUUl487Pkz6z9Kt2YvPW588f2C3y7Davw7VdQaV7My6SAY/mngBZWxp26l8Lt64pId3I/gJ3zHL5cVTNEpAYwTUTWubL4soxnCblbLxwXkb7AV0Cqm3XLKqYL+gFzVTXvt5jS/hu5w9ufI7d56XPkLm9/lvyZtV+lF5M3P3f+2H6Bj7Zh1n7l8ucesV1AUp73iUCGm2XcqVtWMSEiLYB3gQGqevDCcVXNcD3vA8aT2yVapvGo6lFVPe56PRkIFpHq7v4uZRFTHoPJ161fBn8jd3j7c+QWL36O3OLAZ8mfWftVSjF5+XPnj+0X+GAbZu3XL3+4Xz7I7c3bAtTh5wF0TfOVuYZfDlBc6G7dMowpGdgEdMp3PAKIzPP6J6C3F+Kpyc/rybUDdrj+Xo79jVzlosi9nx9Rln+jPNdOofBBnF79HLkZk9c+RyWIyaufJX9+WPtVqjF57XPnq+2X65o+1YZZ+1WCuErzYt5+kDsTZAO5Mxqedh27D7jP9VqAN1znVwJpRdX1UkzvAoeBZa5Huut4Xdd/4OXA6tKKyY14hrl+3nJyB012KqquN2Jyvb8TGJuvXln9jT4B9gDnyP3281sf+BwVF5NXP0duxuT1z5I/P9z4t1nh2y83Y/Lq5664eFzv78RL7Zfr2j7VhrkRj7VfeR62sr4xxhhjjEP8eYyYMcYYY4xfs0TMGGOMMcYhlogZY4wxxjjEEjFjjDHGGIdYImaMMcYY4xBLxIwxxhhjHGKJmDHGGGOMQywRM8YYY4xxiCVixhhjjDEOsUTMGGOMMcYhlogZY4wxxjjEEjFjjDHGGIdYImaMMcYY4xCPEjERGSQiq0UkR0TSiii3TURWisgyEUnPczxaRKaJyEbXczVP4jHGGGOM8See9oitAq4HZrlRtruqtlLVvAnbk8AMVU0FZrjeG2OMMcZUCB4lYqq6VlXXe3CJAcAY1+sxwHWexGOMMcYY40+CvPRzFPhORBR4W1VHuY7HqeoeAFXdIyI13LlY9erVNSUlpWwiNcb4pMWLFx9Q1Vin4/CUtV/GVDxFtV/FJmIiMh2oWcCpp1V1gpsxXK6qGa5Ea5qIrFNVd25n5o1jKDAUIDk5mfT09GJqGGPKExHZ7nQMpSElJcXaL2MqmKLar2ITMVXt6WkAqprhet4nIuOBduSOK8sUkXhXb1g8sK+Ia4wCRgGkpaWppzEZY4wxxjitzJevEJEIEYm88Bq4itxB/gATgSGu10MAd3vYjDHGGGP8nqfLVwwUkV1AR+AbEZnqOp4gIpNdxeKAOSKyHFgIfKOq37rOPQ/0EpGNQC/Xe2OM8SoR6S0i60Vkk4j8ava25HrVdX6FiLRxt64xxhTFo8H6qjoeGF/A8Qygr+v1FqBlIfUPAj08icEYYzwhIoHAG+R+GdwFLBKRiaq6Jk+xPkCq69EeeBNo72ZdY4wpVLleWX/f0dO8N2cr8zYfJOvkOafDMcb4pnbAJlXdoqpngbHkLq2T1wDgA801H6jqGtfqTt1L9umiHWzMPFZalzPG+CBvLV/hiOW7snhu0s9fTGtVrUSThCo0ia9y8TmxWiVExMEojTEOqwXszPN+F7m9XsWVqeVm3V/N+nbHiTPZvPjdBo6ePsez/ZsxKC3R2ipjyqFynYj1ahLHwqd7sHbPMdZkHGXNnqOsychi+tpM1DXvskpYEI3zJGZNEqqQWiOSkKBy3VlojPlZQdlN/pnZhZVxp+4lzfqOCA1i0kOdefjTZTz+5Qp+2nyAvw5sTuXQct1sG1PhlPt/0TUiw6gRGUa3Bj+vo3bybDbr9x5zJWa5CdrYhTs5de48AMGBQv0akb/oOWsSX4Wo8GCnfg1jTNnZBSTleZ8IZLhZJsSNupesRpUw/vfb9rzxwyZemb6B5buyeP3W1jRNiCqtH2GMcVi5T8QKEh4SROvkarRO/nmP8fM5yraDJ/L0nB1l1sb9fLlk18UydmvTmHJpEZAqInWA3cBg4NZ8ZSYCw0RkLLm3HrNc6x/ud6OuRwIDhOE9UmlfJ5rhY5cy8I2f+L9rG3N7h9rW9hhTDlTIRKwggQFCvdjK1IutTL+WCReP7zt2ushbm5FhQb/sObNbm8b4FVXNFpFhwFQgEBitqqtF5D7X+beAyeTOBN8EnATuKqpuWcTZvm4Mk4d34Q+fL+fPE1bz06aD/PPGFkRVsp56Y/yZqPrfIvVpaWnq5BYhBd3aXLfnmN3aNKYMichiVU1zOg5Pedp+5eQo783Zyj+/XUfNqDBeu6X1L3r3jTG+p6j2y3rELoEntzab14qieWIUzWpF0bxWFNERIU78CsYYPxUQINzTtS5pKdV46JOlDHprHo/3bsjvOtclIMBuVRrjbywRKyXu3NpcnZHFqt1ZfLt678XzlpwZYy5F6+RqfDO8C098sYK/T17HvM0HefGmVtZ+GONnLBErYwXN2sw6dY7Vu7NY6XoUlZw1dyVn1axxNcbkE1UpmDd/04YP52/nuUlr6TNyFiMHt6ZD3RinQzPGuMkSMQdEVQqmU/3qdKpf/eKx/MnZyiKSsxaJUbRIrGqDdI0xiAi3d0yhTe1qDPt4Kbe+M5+Hezbgwe71CbRblcb4PEvEfERxydmKAnrO6sZG0DqpGq2Sq9I6qSoNa0YSHGizNY2piJomRPH1Q535v/EreWnaBuZvOcgrN7eiRpUwp0MzxhTBZk36maxT51i5K4tlOw+zbOcRlu08woHjZwEICw6gea0oWiVVpZUrQUuICrO1hky5YLMm3aOqfL54F3+esIqIkCBevrkVXfMMjTDGeF9R7ZclYn5OVdl1+BRLdx5h2Y4jLNt5mFUZRzmbnQNAjcjQ3MQsuSqtkqrSMrEqEbZFivFDloiVzMbMYwz7eCnrM49x/xX1+H2vBtZjboxDymz5ChEZBDwDNAbaqeqvWhcRaQh8mudQXeDPqvqKiDwD3APsd537o6pO9iSmikZESIoOJyk6nP6u2Zpns3NYt/coS3ccudhr9t2aTCB3dmfThCqk1Y4mLaUaaSnVqBFpty6MKW9S4yL56sHLeXbSat6cuZmFWw/x6i2tqVW1ktOhGWPy8KhHTEQaAznA28AfCkrE8pUPJHcbkPaqut2ViB1X1X+X5Odaj1jJHTl5lqU7j7Bk+2EWbTvEsp1HOH0ut9esdkw4abWjaetKzOrFVrbbmcbnWI/YpZu4PIM/jltJYIDw70Et6dUkzqs/35iKrsx6xFR1resHuFulB7BZVbd78nNNyVUND6F7wxp0b1gDyO01W52RRfq23MRs5vp9FxefrRYezGUXE7NoWiRG2S0NY/xY/5YJtKgVxbBPlnDPB+ncdXkKT/ZpRGhQoNOhGVPheXuw0GDgk3zHhonIHUA68KiqHvZyTBVSSFDAxd0B7ulaF1Vl64ETFxOz9O2Hmb4293ZmeEggbVOi6Vgvho51Y2iaUIUgS8yM8Ssp1SP48v5O/GPyOv47dxvp2w7z+q2tqR0T4XRoxlRoxd6aFJHpQM0CTj2tqhNcZWZSzK1JEQkBMoCmqprpOhYHHAAUeA6IV9W7C6k/FBgKkJycfNn27dapVtb2HzvDom2HmLf5IPO2HGTTvuMARIYG0a5ObmLWoW4MTeKr2NYqpszZrcnSM3X1Xh77fDk5Cv+4vvkvdgMxxpQ+j25NqmrPUoqjD7DkQhLmuvbF1yLyDjCpiDhGAaMgtyErpZhMEWIjQ+nbPJ6+zeOB3O2a5m85xLzNB5i3+SAz1u0DoGp4MO3rRNOpXnW6NoglJSbcxpgZ48OublqTpglVGP7JUh76ZCk/bT7IX/o1ISzYblUa423evDV5C/luS4pIvKrucb0dCKzyYjymhGpEhtG/ZcLF2Zl7sk7l9pa5esymrs7Nq5OiK9E1NZauDWLpVC+GyDDbAcAYX5NYLZxP7+3IS9M28ObMzSzZfpg3bmtN/RqRTodmTIXi6azJwPFMswAAIABJREFUgcBrQCxwBFimqlf/f/buO06q6v7/+Oszsw2WZWlLr9IUAQFXpAsqFkRRo0ZNjEYTe0DNN4km35RfEr8xGmMvsZfYFaygIkoXdem997r0XWD7+f2xs7jgltndmbkzu+/n4zGPuXPLuR+GmbOfOffcc8ysNfCcc25UYL/6wGbgBOfcgVLHvwr0ofjS5AbgplKJWbmioWlffmjjnkNMX5XJtFW7+Xrtbg7lFRLnM/q1b8ywbsWtZT1bp+oyplSLLk2Gz9SVu/j12ws5nFfIX8eczGWntlWrtkgIaUBXibi8giLmbdoXSMwyWbrtIABNkhM4o1saZ5/UgmHdmqm1TIKmRCy8dh7MYdyb85mzbi+X9m3D3y7uqcGfRUJEiZh4LjMrl5lrMpm+ajdTV+5i3+F84v3GgBOacvZJLTjrpOa0bVzf6zAliikRC7/CIsfjX67hkSmr6Ng0mceu7svJrVO9Dksk5ikRk6hSUFjEvE37mbJ8J5OX72Rd5iEATmyZwtknteDsHi3o3UaXMOVYSsQi5+u1exj35nz2H8nnj6N78NPT2+tSpUgNKBGTqLYuM5spy3fxxfKdfLdhL0UOWqUmcX7PVlzQuyV92zVWUiZKxCJsT3Yud729kGmrMjm/Z0vu+1FvUuupK4FIdSgRk5ix/3AeX67YxcTFO5i+KpO8wiJaNkzivJ4tuaB3K05tr6SsrgpHImZmTSieC7cjxTcMXXH8oNJm1g54heLxFIuAZ5xzjwS2/YUqzpcbS/VXUZHj2RnreOCzlbRMTeLxq/vRp10jr8MSiTlKxCQmZeXkM2X5Lj5ZvJ1pqzLJKyiiRcNEzu/ZigtPaU2/9o10uaQOCVMidj+w1zl3n5ndDTR2zv3uuH1aUTzY9DwzSwHmAhc755ZVZ77cWKy/5m7cx9g35rPzYA6/O+9EbhjSST+IRKogbHNNioRTSlI8F/dtw8V925CVk8+XK3bxyaLtvP7tJl6avYGOTetzcd82XNK3jaZpkeoaAwwPLL8MTAWOScQCQ+psDyxnmdlyoA2wLGJReuzUDo2ZOHYov31vIfdOXM7X6/bwr8tPoUlygtehicQ8tYhJzMnKyWfSkh1MmLeVOev34FzxH4pL+rZhdO9WNKqvPw61UZhaxPY75xqVer3POde4gv07AtOBns65g4EWseuAgwQ5X24s11/OOV75eiP3frKcJskJPHpVX/p3auJ1WCJRT5cmpdbatv8I7y/YyoR5W1m9K5sEv4+zTmrOlf3bM7RLM10+qUWqm4hVNF8u8HKwiZiZNQCmAfc658YH1gU1X25tmyt3ydYD3P76PDbtPcydZ3fj1hFd8Ou7JlIuJWJS6znnWLrtIOPnbeX9BVvZeyiPto3r8eP0dlye3o6WqUlehyg1FKYWsZXAcOfc9kBfsKnOue5l7BdP8Vy4nznn/l1OWR2Bj51zPSs6Z22pv7JzC/j9+MV8uHAbg7s05aEf96F5ir5nImWpqP7yRToYkXAwM3q2SeVPF/bg63vO5LGr+tKhaX0enLyKQfdN4RcvZ/Dlip0UFsXeDw8Jqw+BawPL1wIfHL+DFd8R8jyw/PgkLJC8lahT8+U2SIzjkSv78M8f9WLuxn2MemQGM1ZnVn6giBxDLWJSq23YfYi3MjbzTsZmdmcXt5JdO7AjV5zWTmMixZgwtYg1Bd4G2gObgMudc3tLz5drZkOAGcBiioevgMAwFdWZL7c21l+rdmZx22vzWJOZza3DO3Pn2d2I8+t3vkgJXZqUOi+voIgvlu/kpVkb+HbDXuon+Lns1LZcO6gjndMaeB2eBEEDuka3I3mF/OXDpbyVsZn0Do159Kq+tG5Uz+uwRKKCEjGRUpZsPcCLszbw0cJt5BUWMbx7GjcM6cSQLs00LlkUUyIWGz5YsJXfj19MfJyPf112Cmf3aOF1SCKeUx8xkVJ6tknlwStOYdbdZ3Ln2d1YsvUg1zz/LRc9PotPl2ynSP3IRKptTJ82fDx2KG0a1eMXr2Tw14+WkVdQVPmBInVUjRIxM3vAzFaY2SIzm2BmZc59YWbnmdlKM1sTGL26ZH0TM5tsZqsDz+WO3yMSamkpiYw7uyuz7h7BfZf24mBOPjf/dx4jH5rGu3O3kF+oPx4i1dGpWTLjbx3EdYM68sKs9Vz29Gw27jnkdVgiUammLWKTKR7YsDewCrjn+B3MzA88AZwP9ACuMrMegc13A1Occ12BKYHXIhGVGOfnyv7tmXLXGTx6VV/i/T7+552FDH9gKq9+vYHcgkKvQxSJOYlxfv5y0ck8/dN+bNh9iNGPzuTjRdu8Dksk6tQoEXPOfe6cKwi8nAO0LWO3/sAa59w651we8CbF04oQeH45sPwycHFN4hGpiTi/j4tOac2kcUN58brTaJmaxB8/WMqZ/5rG299tpkAtZCJVdl7PVnwydiidmzfg9tfn8/sJi8nJ148bkRKh7CN2PTCpjPVtgM2lXm8JrANoUXKrd+C5eQjjEakWM2PEic159+aBvHx9f5o2SOC37y3inIem8+HCbepDJlJF7ZrU552bB3LTsBN4/ZtNXPzELNbsyvY6LJGoUGkiZmZfmNmSMh5jSu3zB6AAeK2sIspYV+W/ZGZ2o5llmFlGZqYGDZTwMzPO6JbGB7cN5j/XnEq838fYN+Yz6tEZTFulz6BIVcT7fdwz6iRe/Plp7MrK5cLHZvLu3C1ehyXiuUoTMefc2c65nmU8PgAws2uB0cBPXNljYWwB2pV63RYo6Siws2Rk6sDzrgrieMY5l+6cS09LSwvuXycSAmbGuSe3ZOK4oTxyZR8O5xVy7Qvfct2L37JmV5bX4YnElBHdmzNx7FB6tU3lf95ZyF1vL+BQbkHlB4rUUjW9a/I84HfARc65w+Xs9h3Q1cw6mVkCcCXF04pAENOLiEQLv88Y06cNk+8axu9HncjcDfs49+EZ/PmDJew7lOd1eCIxo2VqEq//4nTGntWVCfO3cuHjM1m27aDXYYl4oqZ9xB4HUoDJZrbAzJ4GMLPWZjYRINCZ/3bgM2A58LZzbmng+PuAkWa2GhgZeC0S1RLj/Nw4rDNTfzOcq/q349U5Gznjga94adZ6zWUpEqQ4v4+7RnbjtRtOJyungIufnMV/52wkFgcZF6kJjawvUkMrd2Txt4+XMXPNbnq1SeX/LulFr7apXodV62hk/dprd3Yud761gBmrd3NBr1b840e9aJikuWCl9tDI+iJh1L1lCq/e0J/HrurLjoM5jHliJn/5cClZOflehyYSE5o1SOTln/fnd+edyKdLd3DBozNYuHm/12GJRIQSMZEQMDMuPKU1X9x1Bj8d0IGXv97A2f+exudLd3gdmkhM8PmMW4Z35u2bBlBUBJc9PZvnZqzTpUqp9ZSIiYRQar14/jqmJxNuHUyT5ERufHUud721gAOH1TomEoxTOzThk7FDGN69OX//ZDk3vJzBXt0MI7WYEjGRMOjTrhEf3DaYcWd15cOF2zjn4Wl8taLc0VlEpJRG9RN45ppT+fOFPZi5ejfnPzKdr9fu8ToskbBQIiYSJglxPu4c2Y33bxtMo3oJ/Pyl7/jtuws1ZpJIEMyMnw/uxPhbB5GcEMfVz83h35+v1FRjUusoERMJs55tUvnwV4O5dXhn3p27hQsfm8mSrQe8DkskJvRsk8pHvxrCj/q15dEv13DVs3PYuv+I12GJhIwSMZEISIzz89vzTuS1XwzgUF4Blz45m5dmrVdHZJEgJCfG8a/LT+HhH/dh2baDjHpkBp8u0Y0wUjsoEROJoIGdmzJp3DCGdG3GXz5axi9fmcv+w+qILBKMi/u24eOxQ2nfpD43/3cuf3x/CTn5hV6HJVIjSsREIqxJcgLPX5vOH0f3YNqqXZreRaQKOjVL5r1bBvGLIZ14dc5GLn5iluZ8lZimREzEA2bGDUM68fZNA8krKOLSp2bx4cJtXodV55hZEzObbGarA8+Ny9lvg5ktDkzlllHV4yW0EuJ8/O/oHrx43Wnsysrlwsdm8dZ3m3SpX2KSEjERD/Vt35iPfjWEXm1SGfvGfO79ZJnuCousu4EpzrmuwJTA6/KMcM71OW6akqocLyE24sTmTBo3lL7tG/G79xbzqzfmc1AzWkiMUSIm4rHmKUm89osBXDOgA8/OWM/PX/pO0yNFzhjg5cDyy8DFET5eaqhFwyReveF0fnNudyYtKZ4eaYGmR5IYokRMJAokxPn428U9ue/SXsxeu4fLn/6a7Qd0i34EtHDObQcIPDcvZz8HfG5mc83sxqoeb2Y3mlmGmWVkZmaGMHwB8PuM20Z0+X56pKdm859paykq0qVKiX5KxESiyJX92/PidaexZd8RLn5iFku3abyxmjKzL8xsSRmPMVUoZrBzrh9wPnCbmQ2rSgzOuWecc+nOufS0tLQqxS/BO7VDEyaOHcrIHi34x6QVXPfSd2Rm5XodlkiFapSImdkDZrbCzBaZ2QQza1TGPu3M7CszW25mS81sXKltfzGzrYEOsAvMbFRN4hGpDYZ1S+PdWwbiM+OKp79m6kpNjVQTzrmznXM9y3h8AOw0s1YAgecy32zn3LbA8y5gAtA/sCmo4yVyUuvH8+RP+nHvJT35Zt0ezn9kBjNWqxVSoldNW8QmAz2dc72BVcA9ZexTAPzaOXcSMIDiX5M9Sm1/KNABto9zbmIN4xGpFU5s2ZD3bxtMh6bJ/OLlDD7SHZXh8iFwbWD5WuCD43cws2QzSylZBs4BlgR7vESemfGT0zvw4e1DaFw/nmue/5b7Jq0gXzfCSBSqUSLmnPvcOVcycd4coG0Z+2x3zs0LLGcBy4E2NTmvSF3QomESb900gH4dGjP2zfm88e0mr0Oqje4DRprZamBk4DVm1trMSn4YtgBmmtlC4FvgE+fcpxUdL9Ghe8sUPrx9CFf1b8/T09Zy+dNfs3nvYa/DEjlGKPuIXQ9MqmgHM+sI9AW+KbX69sClzRc0Bo/IsVKS4nn55/05o1sa94xfzLPT13kdUq3inNvjnDvLOdc18Lw3sH6bc25UYHmdc+6UwONk59y9lR0v0aNegp9/XNqLJ67ux9rMbEY9MoOPF6mFWaJHpYlYMB1dzewPFF+CfK2CchoA7wF3OOdKhhF/CugM9AG2Aw9WcLzuOpI6qV6Cn2euSeeCXq24d+JyHv5ildchicScC3q3YuLYoXRp0YDbX5/PPeMXcSRP0yOJ9+Iq28E5d3ZF283sWmA0cJYrZ1hjM4unOAl7zTk3vlTZO0vt8yzwcQVxPAM8A5Cenq57kqVOSYjz8ehVfamX4OfhL1bjN+NXZ3X1OiyRmNKuSX3evmkgD01exVPT1pKxYR+PXd2XE1s29Do0qcNqetfkecDvgIucc2VeeDczA54Hljvn/n3ctlalXl7C9x1gReQ4fp/xzx/15tK+bXhw8iqenrbW65BEYk6838dvzzuRV68/nf1H8hnz+CxenbNR0yOJZ2raR+xxIAWYHBh+4mn4QUfXwcA1wJllDFNxf2D+tkXACODOGsYjUqv5fcYDl5/Chae05r5JK3huhvqMiVTHkK7NmDRuKANOaMof31/CLf+dx4HDmtFCIq/SS5MVcc51KWf9NqCko+tMwMrZ75qanF+kLvL7jIeuOIWCwiL+/slyEuP9XDOgg9dhicScZg0SefG603hu5jru/3Qlox6dwSNX9iG9YxOvQ5M6RCPri8SgOH9xn7GzT2rOnz5YwieLtnsdkkhM8vmMG4d15t1bBuH3GT9+Zg6Pf7maQk2PJBGiREwkRsX7fTx2VT9Obd+YO99awOy1u70OSSRm9WnXiE/GDuGCXq341+er+Olz37DjQI7XYUkdoERMJIbVS/Dz3LXpdGhan5temcuybQcrP0hEypSSFM8jV/bh/st6s3DLfs57ZDqfLd3hdVhSyykRE4lxjeon8PL1/WmQFMe1L36rkcNFasDMuCK9HR//agjtGtfnplfn8ocJizXmmISNEjGRWqB1o3q8cn1/cvML+cXLGWTnFlR+kIiU64S0Brx3yyBuGnYCr32ziYsen8ny7WpxltBTIiZSS3RtkcKTPzmVNZnZjHtjvjobi9RQQpyPe0adxKs39C8ec+yJWbw4a73GHJOQUiImUosM6dqMP1/YgykrdnH/pyu8DkekVhjaNY1Pxw1laJdm/L+PlnH9S9+xOzvX67CkllAiJlLL/GxgR64Z0IH/TF/HOxmbvQ5HpFZo2iCR565N569jTmbW2j2c9/AMpq3SvMdSc0rERGqhP13Yg8FdmvL7CYtZsHm/1+GI1Apmxs8GduTD2wfTJDmea1/4lr9/vIzcAnXkl+pTIiZSC8X7fTxxdT+apyRx22vz2Hsoz+uQRGqNE1s25MPbh/CzgR14buZ6LnliNmt2ZXsdlsQoJWIitVSj+gk89dN+ZGblcsdbC9R5XySEkuL9/HVMT579WTrbDxzhwsdm8ua3m9SRX6pMiZhILda7bSP+fFEPpq/K5LEvV3sdjkitM7JHCz69Yxj9OjTi7vGLufW1eew/rBZoCZ4SMZFa7ur+7bm0bxsembJanYtFwqBFwyRevf507jn/RCYv28n5j8xgzro9XoclMUKJmEgtZ2bce0kvujVP4a63FrArS/PniYSaz2fcdEZnxt86iMQ4H1c9O4cHP19JfmGR16FJlFMiJlIH1Evw89jVfcnOLeA37yxSP5YAM2tiZpPNbHXguXEZ+3Q3swWlHgfN7I7Atr+Y2dZS20ZF/l8h0aR320Z8MnYol/Vry2NfruGK/3zNpj2adkzKV6NEzMweMLMVZrbIzCaYWaNy9ttgZosDFVVGqfWVVoIiEhrdWqTwhwtOYtqqTF6avcHrcKLF3cAU51xXYErg9TGccyudc32cc32AU4HDwIRSuzxUst05NzEiUUtUS06M44HLT+HRq/qyZlc2ox6dwQcLtnodlkSpmraITQZ6Oud6A6uAeyrYd0Sgokovta7SSlBEQueaAR0468Tm/GPSClbs0Lx5wBjg5cDyy8DFlex/FrDWObcxrFFJrXDRKa2ZOHYo3VumMO7NBdz11gKycvK9DkuiTI0SMefc5865ktmF5wBtq1hEVStBEakBM+Ofl/WmYVI8495YQE5+nR+IsoVzbjtA4Ll5JftfCbxx3LrbA1cFXlCrvhyvXZP6vHXjAMad1ZX3F2zlgkdnMnfjPq/DkigSyj5i1wOTytnmgM/NbK6Z3VhqfdCVoJndaGYZZpaRmak7v0Sqq1mDRB684hRW7sziX5+t9DqcsDOzL8xsSRmPMVUsJwG4CHin1OqngM5AH2A78GA5x6r+qsPi/D7uHNmNt24aSGGR4/KnZ/PvyavUkV+AIBKxYCoxM/sDUAC8Vk4xg51z/YDzgdvMbFhVA3XOPeOcS3fOpaelpVX1cBEp5Yxuafzk9PY8P2t9rf917pw72znXs4zHB8BOM2sFEHjeVUFR5wPznHM7S5W90zlX6JwrAp4F+pcTg+ov4bSOTZh0x1Au7tuGR6es5vKnv2bD7kNehyUeqzQRq6QSw8yuBUYDP3Hl3IrlnNsWeN5FcSfXksqqKpWgiITQPaNOonVqPX7z7sK6fInyQ+DawPK1wAcV7HsVx12WLKm/Ai4BloQ0Oql1GibF8+8r+vD41X1Zl1nckV8j8tdtNb1r8jzgd8BFzrky7881s2QzSylZBs7h+8qqKpWgiIRQg8Q47vtRL9ZlHuKhL1Z5HY5X7gNGmtlqYGTgNWbW2syO3gFpZvUD28cfd/z9gTvCFwEjgDsjE7bEutG9W/PZncPo0654RP6bXp2rOWHrKKtJFm5ma4BEoGQI4TnOuZvNrDXwnHNulJmdwPe3escBrzvn7g0c3xR4G2gPbAIud87trey86enpLiMjo7LdRCQId7+3iLczNjP+1sH0aVfmCDRRwczmHnfXdUxS/SWlFRU5np+5ngc+W0lq/XgeuKw3w7tXds+IxJqK6q8aJWJeUUUmEjoHc/I596HpNEiM4+OxQ0iM83sdUpmUiElttmzbQe54az6rdmZz3aCO3H3+iSTFR+d3UaquovpLI+uL1HENk+L5v0t7sXpXNs9MW+d1OCJ1Uo/WDfnw9iH8fHBHXpq9gQsfm8nSbQe8DksiQImYiDCie3Mu6NWKx75aw8Y9uotLxAtJ8X7+fOHJvHJ9fw4cyefiJ2bxn2lrKSqKvStXEjwlYiICwB9H9yDB7+NPHyzVHVwiHhrWLY3P7hjGWSe24B+TVnD1c3PYtv+I12FJmCgRExEAWqYm8etzujFtVSYTF+/wOhyROq1xcgJP/bQf91/Wm8VbDnDuw9P5cOE2r8OSMFAiJiJHXTOgAye3bsj/+2ip5sQT8ZiZcUV6OyaOG0rX5g0Y+8Z87nhzPgf13axVlIiJyFFxfh/3XtKLzOxcHvy8zo4tJhJVOjRN5u2bBnLXyG58tGg75z88g6/X7qn8QIkJSsRE5Bh92jXi6v7teXXORlbtzPI6HBGh+EfS2LO68u7NA4n3G1c9O4e/fbysLs+KUWsoERORH/j1Od1JTvDzt4+XqeO+SBTp274xE8cN5WcDO/D8zPWMfmwmi7bs9zosqQElYiLyA02SE7jj7G7MWL2bKcs1BaxINKmfEMdfx/Tk1Rv6k51TwCVPzuahyavILyzyOjSpBiViIlKmawZ2oHNaMn//ZBm5Bbr8IRJthnYtHubiolNa88iU1Vz65GzW7FJ3glijRExEyhTv9/HH0T3YsOcwL8/e4HU4IlKG1PrxPPTjPjz1k35s2XeYUY/O5LkZ6zQIbAxRIiYi5RrevTkjuqfx2JQ1ZGbleh2OiJTj/F6t+PzOMxjWtRl//2Q5Vz83h817D3sdlgRBiZiIVOh/R/fgSH4hD32h4SxEollaSiLP/iyd+y/rzZKtBzn/kRm8nbFZN9xEOSViIlKhzmkNuPr09rz13WbWZmZ7HY6IVKBkENhJ44ZycuuG/PbdRfzylQy1aEexGiViZvaAma0ws0VmNsHMGpWxT3czW1DqcdDM7ghs+4uZbS21bVRN4hGR8Bh7VleS4nz867OVXociIkFo16Q+b/xyAH8c3YPpq3dz7sPTmbR4u9dhSRlq2iI2GejpnOsNrALuOX4H59xK51wf51wf4FTgMDCh1C4PlWx3zk2sYTwiEgbNGiTyy2EnMGnJDuZt2ud1OCISBJ/PuGFIJz751RDaNKrHLa/NY+wb89l7KM/r0KSUGiVizrnPnXMFgZdzgLaVHHIWsNY5t7Em5xWRyPvl0BNo1iCR+yauUJ8TkRjStUUK428dxF0juzFpyXbOeWiaWseiSCj7iF0PTKpknyuBN45bd3vg0uYLZta4vAPN7EYzyzCzjMzMzJrGKiJVlJwYx7izu/Lthr18uUKDvIrEkvjAFEkf3j6ElqlJ3PLaPG57fR57stV3zGuVJmJm9oWZLSnjMabUPn8ACoDXKignAbgIeKfU6qeAzkAfYDvwYHnHO+eecc6lO+fS09LSKv2HiUjoXXlaOzo1S+afn66gUOMUicSck1o1ZMKtg/nNud35fOkORj40nU8WqXXMS5UmYs65s51zPct4fABgZtcCo4GfuIqvV5wPzHPO7SxV9k7nXKFzrgh4Fuhfs3+OiIRTvN/Hb87tzqqd2Yyft8XrcGrMzC43s6VmVmRm6RXsd56ZrTSzNWZ2d6n1TcxsspmtDjyX26ovEi3i/T5uG9GFj381lLaN63Hb6/O45b9zdWelR2p61+R5wO+Ai5xzlY0cdxXHXZY0s1alXl4CLKlJPCISfuf3bEmvNqk8+uXq2jC33RLgUmB6eTuYmR94guIfkz2Aq8ysR2Dz3cAU51xXYErgtUhM6N4yhfG3DOK353VnyvJdnPPQND5cuE19QCOspn3EHgdSgMmB4SeeBjCz1mZ29A5IM6sPjATGH3f8/Wa22MwWASOAO2sYj4iEmZlx18hubN57hHfnxnarmHNuuXOusjE5+gNrnHPrnHN5wJtASdeMMcDLgeWXgYvDE6lIeMT5fdw6vAufjB1C+6bJjH1jPjf/dy67snK8Dq3OqOldk12cc+1KDT9xc2D9NufcqFL7HXbONXXOHTju+Gucc72cc72dcxc553ShWiQGDO+eRp92jXj8yzV1YULwNsDmUq+3BNYBtCiptwLPzcsqQDcbSbTr2iKF924eyD3nn8hXKzM556HpTJi/Ra1jEaCR9UWkysyMX5/Tja37j/D2d5srP8BDwdxwVFkRZayr0l8n3WwksSDO7+OmMzozcexQTmiWzJ1vLeS6F7/TnJVhpkRMRKplSJdmnNaxMY9/tYac/OhtFavshqMgbAHalXrdFtgWWN5Z0tc18KxxPSTmdWnegHduHsRfLuxBxoa9nPPQdJ6bsY6C2O8TGpWUiIlItZgZd47sxs6Dubz+zSavwwmn74CuZtYpMAzPlcCHgW0fAtcGlq8Fgk3uRKKa32dcN7gTk+86g0Gdm/L3T5ZzyZOzWbrtQOUHS5UoERORahvUuRkDT2jKk1PXciQvelvFymNml5jZFmAg8ImZfRZYf/SGo8DsIbcDnwHLgbedc0sDRdwHjDSz1RTfkHRfpP8NIuHUulE9nrs2ncev7sv2Azlc9Pgs/jFpeUx+36OVEjERqZG7zunG7uxcXp2zwetQqsw5N8E519Y5l+ica+GcOzew/vgbjiY657o55zo75+4ttX6Pc+4s51zXwPNeL/4dIuFkZozu3Zopd53BZf3a8p9p6zj34enMXL3b69BqBSViIlIjp3VswtCuzfjPtHX6lSxSi6XWj+efl/XmjV8OwO8zfvr8N/z67YWaRLyGlIiJSI2NPasrew7l8ca3tbqvmIgAAzs3ZdK4odw2ojMfLNjKmQ9O5c1vN1Gkac+qRYmYiNTYaR2bcHqnJvxn+tq6MK6YSJ2XFO/nN+eeyCdjh9IRicrVAAAgAElEQVSteQp3j1/Mj56ezZKt6sxfVUrERCQkxp7VlZ0Hc2N+tH0RCV73lim8ddMA/n3FKWzee5iLHp/Jnz9YwoEj+V6HFjOUiIlISAzq3JS+7Rvx1NS1tWEOShEJkplxab+2TPn1cH46oAOvztnIWQ9O08j8QVIiJiIhYWb86swubNl3hA8WbKv8ABGpVVLrxfPXMT358PYhtGlcjzvfWsiPn5nDyh1ZXocW1ZSIiUjIjOjenB6tGvLkV2soVMddkTqpZ5tUJtwyiH9c2otVO7MY9egM/vzBEvbp7soyKRETkZApaRVbt/sQExdv9zocEfGIz2dc1b89X/56OFf3b8+rczZyxgNf8cLM9eq6cBwlYiISUuee3JIuzRvw+JdrdDu7SB3XJDmBv13ck0njhnFKu0b89eNlnPvwdL5aoWlZS9QoETOzv5nZIjNbYGafm1nrcvY7z8xWmtkaM7u71PomZjbZzFYHnhvXJB4R8Z7PZ9w+ogsrd2bxxfKdXocjIlGge8sUXrm+P89fmw4Ofv7Sd1z7wres3qn+YzVtEXvAOdfbOdcH+Bj40/E7mJkfeAI4H+gBXGVmPQKb7wamOOe6AlMCr0Ukxo3u3YoOTevz+FdrdNeUiADFXRfOOqkFn94xjD+O7sH8Tfs49+Hp3P3eIrYfOOJ1eJ6pUSLmnDtY6mUyUFaN2x9Y45xb55zLA94ExgS2jQFeDiy/DFxck3hEJDrE+X3cckZnFm05wOy1e7wOR0SiSEKcjxuGdGLqb0Zw3aBOjJ+3leEPTOUfE5ez/3Dd69Bf4z5iZnavmW0GfkIZLWJAG2BzqddbAusAWjjntgMEnpvXNB4RiQ6X9GtD85REnpq61utQRCQKNUlO4E8X9mDKr89gdO/WPDNjHUPv/4onvlrD4bwCr8OLmEoTMTP7wsyWlPEYA+Cc+4Nzrh3wGnB7WUWUsa7K1yrM7EYzyzCzjMzMzKoeLiIRlhjn54YhnZi5ZjeLt2jaExEpW7sm9XnwilP4dNwwTu/UlAc+W8kZD0zlxVnrycmv/VOmVZqIOefOds71LOPxwXG7vg78qIwitgDtSr1uC5SM9rjTzFoBBJ7LvY3COfeMcy7dOZeelpZWWdgiEgWuPr09KUlxPD1NrWIiUrHuLVN47tp03r15IJ2aJfP/PlrGkH9+xbPT19XqFrKa3jXZtdTLi4AVZez2HdDVzDqZWQJwJfBhYNuHwLWB5WuB45M7EYlhKUnxXDOgAxOXbGf97kNehyMiMSC9YxPevmkgb944gO4tG3DvxOUM+WfxJcusnNo3h2VN+4jdF7hMuQg4BxgHYGatzWwigHOugOJLlp8By4G3nXNLS44HRprZamBk4LWI1CI/H9yJeL+PZ6av8zoUEYkhA05oymu/GMB7twyid9tUHvhsJUP++RX3f7qCHQdyvA4vZCwWby1PT093GRkZXochIkH6w4TFvJOxhZm/G0HzhknVKsPM5jrn0kMcWsSp/hKpnkVb9vPkV2v5fNkOfGZceEprbhjSiZ5tUr0OrVIV1V8aWV9Ewu7GYSdQUFTEC7M2eB2KiMSo3m0b8fQ1pzL1f0ZwzcAOfL50B6Mfm8kV//majxZuI7cgNjv2KxETkbDr0DSZUb1a8dqcjRyMoj4eZna5mS01syIzK/PXqpm1M7OvzGx5YN9xpbb9xcy2BmYXWWBmoyIXvUjd1L5pff584cl8/fuz+N8LTmLb/iP86o35DPi/Kfzt42UxN1q/EjERiYibz+hMVm4B/52z0etQSlsCXApMr2CfAuDXzrmTgAHAbaVmBwF4yDnXJ/CYGMZYRaSUhknx/GLoCUz/zQhevaE/gzo345WvNzDyoelc+uQsXp69gV1Z0d+XLM7rAESkbujZJpWhXZvxwswNXD+4E0nxfq9Dwjm3HIqnXqlgn+1AycDTWWa2nOJBqZdFIkYRqZjPZwztmsbQrmnsyc5lwvytvJOxhT9/uJS/fLSU0zs1YXTv1pzTo0W1+6iGk1rERCRibhnemd3Zubw3b4vXoVSLmXUE+gLflFp9u5ktMrMXzKyxJ4GJCABNGyTyi6En8Nmdw5h85zB+dWZXdmXl8r/vL6H//03h/EdmcN+kFXy9dg95BUVehwvorkkRiSDnHBc/MYv9R/L58tfD8fvKb4k6XnXvmjSzL4CWZWz6Q8nA1GY2Ffgf51y5FYuZNQCmAfc658YH1rUAdlM8W8jfgFbOuevLOPZG4EaA9u3bn7pxY1RdnhWp1ZxzrNyZxVcrMpm6chdzN+6joMiRGOejV5tU+nVoTL/2jTi5dSptGtXDV4V6KVgV1V+6NCkiEWNm3DK8Mzf/dx6TlmxndO/WYT+nc+7smpZhZvHAe8BrJUlYoOydpfZ5Fvi4nBieAZ6B4h+SNY1HRIJnZpzYsiEntmzILcM7k5WTz+y1e/hu/V7mbtrHS7M28Mz04tax+gl+ujRvQJe0BrRuVI8WDRNp0TCJpg0SqZ/gp168n/oJfuL8PhomxRHnr/mFRSViIhJRI3u05IRmyTw1dS0X9GpVYf+saGDFAT4PLHfO/fu4ba0CfcgALqG487+IRLGUpHjOPbkl555c3FCek1/I0m0HWbkji9W7slizK5s56/awMyuXwqLyfzd9dscwurdMqXE8SsREJKL8PuOPo3vg8L5hyMwuAR4D0oBPzGyBc+5cM2sNPOecGwUMBq4BFpvZgsChvw/cIXm/mfWh+NLkBuCmiP8jRKRGkuL9nNqhMad2OLaLZ2GRY8+hXHYeyGX3oVxy8go5kl/I4bxCCosczVMSQ3J+JWIiEnEjTmzudQgAOOcmABPKWL8NGBVYngmU2WznnLsmrAGKiGf8PqN5ShLNU8J7p6XumhQRERHxiBIxEREREY8oERMRERHxiBIxEREREY8oERMRERHxSEyOrG9mmUCwQ1M3o3jk62iimIITbTFFWzxQt2Lq4JxLC0O5EVXF+gvq1v9xdUVbPKCYghFt8YAH9VdMJmJVYWYZ1ZkWJZwUU3CiLaZoiwcUU10Qje9ntMUUbfGAYgpGtMUD3sSkS5MiIiIiHlEiJiIiIuKRupCIPeN1AGVQTMGJtpiiLR5QTHVBNL6f0RZTtMUDiikY0RYPeBBTre8jJiIiIhKt6kKLmIiIiEhUiulEzMzOM7OVZrbGzO4uY7uZ2aOB7YvMrF+wx4Yxpp8EYllkZrPN7JRS2zaY2WIzW2BmGRGKZ7iZHQicc4GZ/SnYY8MY029KxbPEzArNrElgWzjeoxfMbJeZLSlnuxefo8piiujnKMiYIv5ZimWqv0IWU0Q/d9FWfwXKjao6TPVXFTnnYvIB+IG1wAlAArAQ6HHcPqOASYABA4Bvgj02jDENAhoHls8viSnwegPQLMLv0XDg4+ocG66Yjtv/QuDLcL1HgTKHAf2AJeVsj+jnKMiYIvY5qkJMEf0sxfJD9VdIY4rY5y4a669AuVFVh6n+qtojllvE+gNrnHPrnHN5wJvAmOP2GQO84orNARqZWasgjw1LTM652c65fYGXc4C2IThvteMJ07GhLPcq4I0QnLdczrnpwN4Kdon056jSmCL8OQoqpgqE7X2KYaq/QhRTmI4NVZlhr78g+uow1V9VE8uJWBtgc6nXWwLrgtknmGPDFVNpN1D8K6WEAz43s7lmdmME4xloZgvNbJKZnVzFY8MVE2ZWHzgPeK/U6lC/R8GI9OeoqsL9OaqKSH6WYpnqr9DGFKnPXSzWXxDddVidr7/iQllYhFkZ646/BbS8fYI5tjqCLtfMRlD8ARxSavVg59w2M2sOTDazFYEsPpzxzKN46oVsMxsFvA90DfLYcMVU4kJglnOu9K+YUL9HwYj05yhoEfocBSvSn6VYpvordDFF8nMXi/UXRGkdpvqrWCy3iG0B2pV63RbYFuQ+wRwbrpgws97Ac8AY59yekvXOuW2B513ABIqbRMMaj3PuoHMuO7A8EYg3s2bB/lvCEVMpV3Jcs34Y3qNgRPpzFJQIfo6C4sFnKZap/gpRTBH+3MVi/QVRWIep/jr25DH5oLg1bx3Qie870J183D4XcGwHxW+DPTaMMbUH1gCDjlufDKSUWp4NnBeBeFry/Xhy/YFNgffLs/cosF8qxdfzk8P5HpUquyPld+KM6OcoyJgi9jmqQkwR/SzF8kP1V0hjitjnLlrrr0CZUVWHqf6qQlyhLCzSD4rvBFlF8R0Nfwisuxm4ObBswBOB7YuB9IqOjVBMzwH7gAWBR0Zg/QmB/+CFwNJQxRREPLcHzreQ4k6Tgyo6NhIxBV5fB7x53HHheo/eALYD+RT/+rkhCj5HlcUU0c9RkDFF/LMUy48gvpt1vv4KMqaIfu4qiyfw+joiVH8Fyo6qOiyIeFR/lXpoZH0RERERj8RyHzERERGRmKZETERERMQjSsREREREPKJETERERMQjSsREREREPBKziVhlM6lXo7xPzWy/mX183Hozs3vNbJWZLTezsaE4n4jUXaq/RKREzCZiwEsUz+MVKg8A15Sx/jqKR9U90Tl3EsUTfoqI1MRLqP4SEWI4EXNlzKRuZp0DvwznmtkMMzuxCuVNAbLK2HQL8FfnXFFgv101iVtERPWXiJSI2USsHM8Av3LOnQr8D/BkCMrsDPzYzDICM7J3DUGZIiLHU/0lUgfFeR1AqJhZA2AQ8I7Z0cnSEwPbLgX+WsZhW51z51ZSdCKQ45xLD5TzAjA0NFGLiKj+EqnLak0iRnHr3n7nXJ/jNzjnxgPjq1nuFuC9wPIE4MVqliMiUh7VXyJ1VK25NOmcOwisN7PL4ejdQqeEoOj3gTMDy2dQPPGniEjIqP4SqbtidtJvM3sDGA40A3YCfwa+BJ4CWgHxwJvOubKa9MsqbwZwItAA2APc4Jz7zMwaAa8B7YFsimdqXxjaf42I1CWqv0SkRMwmYiIiIiKxrtZcmhQRERGJNUrERERERDwSk3dNNmvWzHXs2NHrMEQkgubOnbvbOZfmdRw1pfpLpO6pqP6KyUSsY8eOZGRkeB2GiESQmW30OoZQUP0lUvdUVH/p0qSIiIiIR5SIiYiIiHhEiZiIiIiIR5SIiYiIiHgkJjvri3hh1c4sJi3eweAuTdmdncuybQfp0TqVKct3cufIbizcvJ+JS3YwbeUuLurTmttGdOHTJTu48rT2PDVtLU2TE0jv2JiTW6ceLfPfk1exdd8RdmXlcN2gjmzee5js3AJ2Hszl1A6N2X84j8vT25Gc+MOv6pG8Qt74dhPXDeqIz1c8UXRBYREvzd7AzwZ2pMg5npq6lkv7taFD02QmzN9C/05NadOo3jHlfL12DwlxxiltG/Hy1xu5ZkAHfMbR5YS44t9rK3YcZO7GfSTG+bns1LZhfKdFRCJr6bYD7DqYS/9OTXg7YzPXDeqIWXG9unX/Eb5Zt4dL+4Wn3lMiJhKkP0xYzHcb9vHQFz/cNmf9HjbvPXL09X/nbOKt7zaTX+jYtPcwL87acHTbhvsuACCvoIhHp6w+un7G6t3HlPnqnOKbbFbuzOYfl/b6wTn/+ekKXpq9gVapSZzfq1XgvBv5+yfLyS909GvfiEemrGbNrmweubIPd761kNapScy+56xjyrnq2TkA/HXMyfzt42Xk5BeSkhR3dPm2EV0AOO/hGUePOefkFjRMiq/0PRMRiQUXPDoTgKtPb8/r32yiQ9P6nHliCwB+/J+v2bLvCBf0bkVinD/k51YiJhKkrfuOlLtt18HcH6zLLyyePuxQbkGZxziCm17swJG8ctbnA3Akv/DouuzAubJz8ykKFL87O/fomXZl/TDOElk5JccW/GDdD2IvCip0EZGYsu9QcX17JO/7Sq6kfg/XjJDqIyYiPxBokRcRkTBTIiZSS5VucavuL7lgW+1ERKR6oiYRMzO/mc03s4+9jkWkrjPUJCYiddcxVwXCXB1GTSIGjAOWex2ESKiV1xoVrv4G35+g9KJatkREolFUJGJm1ha4AHjO61hEQs2rFKj0eaud9Cl/C4pa9EVqh7D/QC5DVCRiwMPAb4Fy78UysxvNLMPMMjIzMyMXmUgNedUiVpPy1Vm/ytSiLyLV4nkiZmajgV3OubkV7eece8Y5l+6cS09LS4tQdCI1V95lwXBfLgxNZ32pjFr0RaQmPE/EgMHARWa2AXgTONPM/uttSCJVU2HCUsNsprIkqtLt1QhFDWJVUmmLvojElgj21fc+EXPO3eOca+uc6whcCXzpnPupx2GJhEx5yU8kL02qs354BNuir64VIrFPA7qKRLHq/GIKunWqksLL215SvvF9BVLVOF05NY8Su6OCatFX1wqR2FBR3Rauei+qEjHn3FTn3Giv4xAJpXKTmTA3iZUuv6pnqiz58+LOomikFn0RqamoSsREaqNyL01G8LzVTfrKveOzWqWJiMSucP0A1aTfImEWi61HGlm/6pxzU4GpHochIiFQ+qpAyXK4qnK1iIkEyUI8uFZkR9YPcdGxmF2KiEQhJWIiQar25b0qbwiNcI4jpjRMRGqjiurKcP0AVSImEmZe3Xl4zGmreCp11hcRiQwlYiJhFsvjiJXfWV+ZmIjULeojJhKrlLOIiMQYK7VUvKwBXUU8VlFn/Yq+n+XPNRmc6k5x5Eo9l+wTsnpEyaWISEgoERMJhQo7eJa3PnoHdP3+uJolkSIisSSc8waXR4mYSJAqSpyq02cqslMcuaPLwZ2z4j3VWV9EJDSUiImEQMW3PFf9mFA4trN+zcs4Zr3axESkjqkTc02KxKrq9RGL3IiuVU36Kms5U4uYiNRmZY6sr0uTItGrwsuWNfzyVrez/tHt5SyLiIj3lIiJBKm6Uxx5NrJ+CMYRK7fskJYmIhIdKuxmEqZzKhETCVLFnfWrUV6Q+4Wis37Ji+A761e8XXNNioiEhhIxkRCovZ31y+nfpjxMROoYzTUpErM8mmsyjJ31RURqpx8O9WPHbAk9JWIiYRbLrUcxHLqISJV5UV8rERMJUqg76wf7ha/2FEelpjUqaR0Lvl+aBnQVkbqnwqGINHyFSGwqt59VuM97TAyhLluZmIjUPl7ciKRETCRIof6CBltete+aLDWt0TF3UFaBVzcaiIh4oajC4SvUWV8kJtX00mRIYqjiySodvqIGsYiIRKuikh+wpSrBo8thqvjiwlNsdDhwJJ8V2w/SJDmBRvUT2J2dS3JCHNsPHKGgyOH3GUVFjnZN6pMU72dXVg714v00SIxj/e5DFDmI8xuJcT4S4/w0SIojr6CIOJ+RW1BE84aJrMs8RINEP3sP5eOco8iB32fUT/AT5zfyCopo27g+a3ZlH11XWOTYfzif+gl+0lISOZxXyJ7sPFqmJrEnO5f8QkeDxDgaJMWx40AOAAlxxR+Edo3rczAnn0O5heQVFtElrQE7DuaQX1hEUryfg0fyj/4RLXLF++/OzuVQbgGtG9Vj/+F8snMLaJAYF9jHkV9YhN9n9GjdkO37c9h24AgNk+I5lFtA/YQ44uOMJskJFBVBZlYu9RJ87M7Ow2dGWkoi+w/nEefzkRTvo3FyApv3HqagyJHg99GrTSpLtx3kSH4hcX4jwe+jZWoSm/ceJs7nI7+oiB6tGrLnUB67DuYQ7/fRvGEi+w/nk1ovng27D1EvwU9hkSMnv4ikeB9tG9fH7zOycvJJiPPRKrUee7Jz2X4gB58ZqfXj2Z2VS70EP43rJ5CSFEdWTgHbDxzhSF4hnZolE+f3sWnvYXLyC2ke+D8oCvz/5RUUUS/ez8GcfBomxRMfZyTG+av9OYzl1iNdghQRCS/PEzEzawe8ArQEioBnnHOPhKLseRv38fOXvgtFUWVqVD+e/Yfzw1Z+pJUkLKE0rFsa01dlhrTM471wXTrXv5RR5rZG9eM5qWVDvl63J6wxVKSmqUxIOuuXWg5G5XNNKkETkdqnro6sXwD82jl3EjAAuM3MeoSi4BNbpYSimHJFMgm7YUgnOjVLDus5Qp2EAWFPwgAWbTlQ7rb9h/M9TcLAu0FRw9mapTRMRGqjolJ9a0scHUestt416Zzb7pybF1jOApYDbUJRdpPkhFAUExW6t0whJcnzBkwJobAP6OrKXq5uGcGsFxGJZUV1/a5JM+sI9AW+CUl5tWh8cJ9ZtcexirQYCdNzwX7fq3/XZGA73yd9Qf/XVPqfqExMRGqfii9N1vK7Js2sAfAecIdz7mAZ2280swwzy8jMDO5yl68WJQQ+i51/T4yEGTGx3HoUw6GLiFSZF3VeVCRiZhZPcRL2mnNufFn7OOeecc6lO+fS09LSgi03hFF6yyx2EhxfLXrfQ6G8X1HBfuGr3Vm/1HPoO+sHWZCISCypqEWstvYRs+Js6XlguXPu36EsO1ZakILhM4uZBCdW4oyUoqKy14f7zsPS5Yf6TMrDRKQ2+n4csVIrwzuMmPeJGDAYuAY408wWBB6jQlFwbWoRgxjqexUrcXosslMcVe9s6qwvInWJF531Pb8Nzzk3E/3prlQsddavTS2R4RTuzvoc01n/++VQnFMDvYpIbVTxpN+1vLO+VKz40qTXUQQn0nerRnvrTGwnLbEcu4hI1Xjx90SJWIwo7qwfG5lYpBPGaE8Vyv9i1yzyst7mklZTw45JAKtauVT2WYv25FdEpDoqbhELzzk9vzQpwfEZ+GIkbY50Z/1on26nppN+V3pX5DEDt7rANnfcnZLumGNqKsrfcpFar/TcxuUpKir+ovqq+OvYOceBI/lH5ySG4vMczCmgYVIc2bkFxPt9JPh9HMzJJyUpHp8Vz29cwoDD+YXUi/dT5Bx+M/IKi46Wte9wHimJ8STF+ziYU0BqvfhjYigoLKLIQbzfOJRXSEFhESlJxfsUFBUR5/NR5BwGFDqHYUdj8PuKf0rmFBQGuvVAnM9HVk4+yYF/kwH5hS6wzY45b+lln9nR+q6wyOGcI7/QUVjkqJdQ/TmIS1MiFjNi567JSDfcRXtSUO4UR+E+7zExVLOMcpPAKH/TRWq5p6et45+frmDhn8/5QRJT4kdPz2b+pv1suO+CKpX9fxOX8+yM9cesu/K0drz53WauSG/L2xlbfnDMrcM78+TUtcesM4MTmiWzNvMQAJ2aJbN+96Fj9mnWIIHd2Xk8cmUfxvQpnlTn67V7uOrZOQD8aXQP/vrxsirFD8XnzczKJSu3alP3Ld1WPIzpt+v3csPLGcckmMP/NZU/je7BxMXbWb/7EHP/OLLKcZUlRtpYJJZEOmH04i6XUAj7XJOlW8qqeGylnfVj8y0XqTXeydgMwO7s3HL3mb9pf7XKHj9v6w/Wvfld8fnKSsIA/jtn4w/WOcfRJAz4QRIGsDs7Dzh2zuCZa74ftP3twL+zqtbtPlTlJKy0mWt2A8e28gGMn7+FjI372HMor9plH0+JWAyJlRaxSIdZ23OCat81WbK9nOVgKOGqnJm1M7OvzGy5mS01s3FexyS1X135anpVB0Xy75guTcYMFzPjiKlF7FjhurwX3s76UgUFwK+dc/PMLAWYa2aTnXNVv54iEqSSLg+1/btaF7pBqEUshsRKi1jE75qM8u9pNHTWd+qsHzbOue3OuXmB5SxgOdDG26ikroiV8SWr6/hLg5ESyb+3SsRiRuyMIxbp32jRftdkeS12Ye8jFoJzlT9PZnS/514xs45AX+Cb49bfaGYZZpaRmZlZ1qEiUgav6vdI/hVTIhYzHLHSCB3phLGwnLkco13YkxlXg0uT6qxfZWbWAHgPuMM5d7D0NufcM865dOdcelpamjcBisSgulDVKBGLIbHSIhb5zvqx+VUN9xRHpac1KnmPQtVZPzbf8fAxs3iKk7DXnHPjvY5Har9wfgej6vvtVTC6NCk/FDvjiEV+QNeInq7Koj2+ssTKLA7RwIo76TwPLHfO/dvreKRuKKlXavs3NQarzypTIhZDYiQP012Tx6lpH4fKDi+31ap0Z/1jRtmvuWjvlxdhg4FrgDPNbEHgMcrroKRuCEd1G01/aryq3yN5BUrDV8SQWGkRi7RozwnKu+snVHGXf1dmzU9Qbtk1Lrn2cM7NJLr+dolEXLjqBM/GEYvgudQiFkNiJQ9TH7FjlXvXZIjiDmYKpSpXZuqsL1JnVevrHaY6Idrr91BQIhZDavt4MdXl1Tgzwars0mEkzlvdyqz8GKP8TRep5aItQQnXJUSvfvRpHDEpU6zcNRlp0d46U9PwKh1KorLjy1kO9hgRiT7fd9YP/be1OiXWtkuTwQhVX1klYjFEfxzLVhTlTWLBXDqs+PjKdqh4dXg664eoIBGpkWi5UBKuOsGzAV2DeF9DFZoSsRiizvpli7Ym+uOVP7J+iPqIlTf6fekBXUNddjXLE5HoV53vd7jqYc+GEQui6SNUsSkRiyHqI1a2aG+dKfeuyRCVH8y/v6pJX2WftWh/z0UkssJ1YSKahyfSpck6SHlY2Qqj+IsKFVyajGhn/eoWUl7Z0f2ei9R2R7sbRMtXMUxxeDWFXVCXJkN0LiViMUSd9csRLRVROdRZX0RiSfU664enIo7mFrFQxaZELIaoj1jZovdrWixcQ0CUfBpKl19ySdGwYyrG6tYXGtBVJLpFSx/ZcOVLXiVi6qwvZVIeVrZo/sUEFXXWD+74yibePjbhckfXHXunpDvmmMpU2goX3W+5SJ0Rju9i9Trrh4dXd8VHcr7dqEjEzOw8M1tpZmvM7G6v44lW6qxftmhPCsofWT80KkvUKtqn2ueMkl/hInXV9z+6okO4+o1G8+hEtaZFzMz8wBPA+UAP4Coz6+FtVNGpNqVhocwpo72zflE5nU3DP9dkMPtUHES526P7LRepM8KRAEXTgK6FXrWIBfEm1KY+Yv2BNc65dc65POBNYIzHMUWl2tRHLKT/FiUFIVeLPmoitVK0VXu1rY9YMEIVWVyIyqmJNsDmUq+3AKd7FEvUSogz/DFy22RcEHEm+FDo9tkAAB9nSURBVH0cKSoMyfk+W7ojJOWEy/YDR455PeD/pgCQF+R92ZOW7Dh6TGk7DuYAcP+nK3jiyzUAHMzJB+DZ6etJiCv+nfXt+r3c9OpcoPjXZemySl9ifPKr4jKemrr26Lr3F2zj/QXbfnDu216fR2KcP6j4j4+3ZcMkALq2aMCrN+irLuFRUFhElz9MKnNbUryPFX87n/W7DzHiX1PxGcz/0zm8P38rf/5wKb3bppKdU0BeYREP/7gP6R2b/KCMDxZs5dkZ63jxuv5c8OgMzjm5BRt2H6ZriwbkFRSx/UAOA09oyi+HncD1L33Hlyt20SAxjlPapfLaLwYcLWfD7kMM/9dUANo3qU9OfiF92jXi82U7j+7TNDmBc3u25PVvNv0gjjMfnMYr1/dn7sZ9PDJlNQA/G9iBuRv3Hd2n492fMKJ7Gl+tzGR071Ys3LKfzXuP8JcLe/D8rPU8eHkf6sX7ufHVDBokxrHnUF613vNwiOI8LGStkdGQiJX1V/sH/zozuxG4EaB9+/ZBF37/j3rz2/cW0aFpfTbuOUyDxDjqJfjp064R/do3ZsL8LfjMSEmKY/3uQ+zOzqNL8wb8bGAHDGicnMBrczbx9bo9NEyK42BOAdcP7oTPYO+hPN5fsBUz48LerbjwlNa8N28LW/fnsHnvYfYeyuOEtGQGnNCUeRv3sW3/Ec7o3pyPFm7j1A6NGdY1jZdmryc5MY6+7Ruzac8hFm45QJfmDejeIoV6CX52ZeWS3qExw7s1p3lKEtm5BazamcWiLQcA6N02ldG9W9G4fgK/eXcRAB2b1qdPu0a8v2AbJzRLZt3uQwB0bd6AUzs0pnWjeizacoAGiX4O5hTw9do9HMkv5ILerVi0ZT+ndWzCN+v2cnHf1hQUObbvz+FQbgFm0CAxDp8Zny3dwcltUmmanMCXK3ZxXs+WfLBgGye1asi4s7rQMrUe93+6graN6zFn3d7i43ywOyuPxskJjDurC0u2HuQ/09dyTo+WzF67m5E9WrBp72GSE+L4bsNeBndpRsvUJF6ctYEHLuvNsu0H+WjhdhLjfKTWi2fNrmySE/2c06Ml323YS5FzNKqfQJNATKn14jmtY2PMjLW7svnlsBN4bsa64g+Xgw5N69OqUT0+XbKD1o2SWLL1IPdf1ptFW/YzbVUmbRrV40h+EZv2HGLf4XyuSG/Lqp3ZJMb5yCkowoDEOB/frN/L6N6tWLb9IFv2HSGvoIhT2qbSvWUKk5ft5JweLVm5M4vcgiKaNUigdWq9o5/PL5bv5Eh+IYfziivfOJ/hgLkb99GpWTL7D+cxskeLMjuOOtzR8kv7fNmOo+tW7syie4sUAGau2U2f9o1okHDs137VrizifT46NUvmrYzNlGd49zQ27D5EXkERQ7umBf0dLFFS9uAuzYjzGa0aJVW5DPn/7d17nB1lfcfxz2/vbO4k2QQ2dxIEEkKIG+SmQgGNgI0gUmxrRQVqWyqvWi8g0nptvVXtxder5UXRosVLWxAtQQj1htCoCyYkxBDSQAK5E3IPSXb3PP3jXHbm7MyZOWfnXPf7fr32lXNmnnnmd85OZn77PM88I3G9UiCZONqX/iPom/+7GUiPQ+p94RX++gfPAOTOrwBfePhZvvfH5w2p45bvrAJgxbqd7Dp4jG+tTCdJv9j4cq7Mj9fv4sY3zOHH63cBcOhYP49v3OOr595fDSZXW145AuBLwgD2HD4emIRlfWvlZt8292Q+l9dPnt0NwH8/vT237BM/XAfA53+0ngmdbWzffzR0H9VS03dNJrSvWkjEXgKme95PA4b8Ce6cuxO4E6Cnpyf25792yXSuXTI9dP2fXHRKZB1XLjw5dN2Xf2+R7/0lp0+JrO8f33l27vUtl86LLJ+1oHscX3rHWaHr39Hj/5xfve7skJLl8fd5+7v3xnNDSqYtXXASH3rzayLr/eu3zg98XYp3njM0if+bq870vb+2J/x4qQefZ2HJ2/alUtz31NbAdd94zzkl1wuDidhnr1pAR2txrWkiSUulnG9uxlKv9wNhg0ArqJGHEtTyGOCGGawP/BqYZ2azzawNuA74QZVjEpEyaeSLhtSPlHO+Y7HUlpf+Gritr5JTLVRaDedhjdM16ZzrN7ObgYeBZuBu59wzVQ5LREQa2IBzvimBSr2kVuuuPi/9cVMdSSWJVU/EAJxzy4Hl1Y5DRMqvkf96l/rhnH+Aculdk0rERio9a1JE6pIuGlIJURfJVH4mVuJldbhjmJLo3tIfN8mL850m1TWpRExEKkqXDKmEqJaqgZTzzWdYcovYgFrERqqkGkOViIlIRelRXVIJUYPvU/ldkyXupyYG6+v/VFUk9ag3JWIiItJwomaVSKX8d01WcoxY0o8lUhpWJWoRE5F6pIuGVEJ0i5jzjQMqdfqKUsaIJd2Ipgax6tBgfRGpS7poSCVEJUgDLm9C11L3U0JWlfSdlo3wHOJamy8s1sz6jTR9hYiMHBrP0jhSKcdt963hXefN5L6ntvKm+VM4d85EPvXDdbnXAMf7U/zlf6zmlcPHuOz0KVx/wWwAtuw5whceXs/fXXsW7S3NrNt2gG888Tyfu3oh63cc5OuPP8/n376Qpibj3l9uYcA5frp+F/+zfhfzTx7Lxa/poqO1iS89sgGA18+bxJxJo/jksgWR3X/O4bvaltpd2B8xWD+o3qQf29MI/6Nq+eHeYZKKWYmYiIiUZPuBo3y390V+tmE3Ow4c5e7Hn+eFz13B3Y8/n3sN8Mvn9/DD1ekn1z2+cU8uEfv4A2v5+YbdvP2107j4NV3ceE8vW/e9yp//zjzf6xkTO/nY/Wt8+35m2wGe2XbAt+yx517msede5pPLFjAQNUbMuUQSmKhHHAU1fiWedAzzgyQ9Zm2kUNekiIjUBG83YCog8wjrist2DSadCDjnIpOdgVQyjziK6gINqjfxMWIN0CZWj8mg5hETEZGqyl7+vYlWX0ALUdj1qjmTCQU1KmWTpFJ6sgdS0YlYej7XBOYRi9HyFmfZcAy3t78WhgvUXxrWWA/9FhGROpRNwPo92UjQmKmwxCObAOS3KnnflnKxS7no6SvSE7oObz/peiK6JgNWB7UaDkdT9fOoYavDBjElYiIiUl3ZyUy9k5oGJ2LB2zdnrkD5XTzeVrWgFrYoqRhdkymXN49Y0XtJi5rQVV2T8dTjYP2kJnTVYH0RkRHqrsc2ccbJYzn/lEkFy3SN7eDj96+he0InD/zZBfznky8xeUw7syZ2Av7kKyhxCh8jlmkRy2ySTYy89UXdlRgk5VyssVuWwF2TkY9SCqg36ekraqBncdjqLw3T9BUiIjJMn3nwtwC5uxsLlQE4sP0AW145kruDcfkHXg/4k6+gxCksyWnK9Knlt4b0ebo6+6IGYQUYSLnIxCo/FyrXzPouIPzEZ9ZvhESsDjMx3TUpIiIVd7RvIPe6P5OAeS+iQYlTWOtUtkUsPxHzdXWW0HqUcvEG0fse+l3iZbWkFrHEE7EGyMTqsE1Md02KiNQIM1tqZs+a2UYzu7VacWzafYgvPryeL/xoPZt2H+JrP9nI2q37+fIjzzLr1gf59q+25MrGGTAeVMabiPUFtH4FJU5R01dk12eva/0DKd/rYqVi3DWZP31FqdfU2hgjVv9KGApYVmHJrTfOpH6P6poUERkGM2sGvgZcBrwE/NrMfuCcW1eufe49fJwjfQOc2NnGgHOMbk+fym+4p5dNuw8DsHzNdl7Yc4SvrNiQSxZuu28N7zxnBgDH+qOvfEFlXvUkYkEJVtBdhGFJzmCLmH/58FvE4k5f4Xlf9F7SolrEAhMxjREbIqmB7+Xm/31qsL6ISC04B9jonNsEYGbfAZYBiSViLm9g+cV/91P2HenLvc+O8Tp8rD+3bOu+V4HwRMabUIU5GlDm1eOersmA1qqgVrKowfpDuiYHXODA/bjiTl+RRItYZCIWNH1F4o84qv9MrC7HiCUUs9XjbLY9PT2ut7e32mGINJwPfm8V9z21NXBdoQHdccy69cFh1WNmTzrneoYVRBmY2TXAUufcDZn37wJe55y7Oah8MeevW//rab7b+yLOwQVzJ/L4xj2B5d6yYCpmsHzNjsg6Lz9zKgBH+1L8eP0uABZNH8+zOw7yat8ATQZLF6TLbNt3lFUv7guta3R7C4c8yV/YvjbvOTLkcURvWTCVh9bu8JUNi/+0qWNYv+Ng5GfLeu3MCTy5eW/BMufNmcj/bgr+PoNcfuZUjvenGEg5fvLs7tzy9pamWK2L+bK/s1Vb9rFt/9Git29ExRzHteCRv3gDp04ZE6tsofOXWsRERIYnqDnC9xeumd0E3AQwY8aM2BVv2n0491f3+u3hicjKTXuY0NkWuO6E1mZf69farQdob/EPD/YmWyk3WOa5XYcKxlcoCQN4bmd6+6DB6d4kDOCpzeEJXzFJGBCZhAG8fOhYUXU+tuFlDgZ83tHtLRzrP15UXZD+/PO6RnNCW3PR20ZpsuTHoUWZ0NnKXk8rbVytzZZrRX1o7Q7GtNd2WnLyuI5c4tzanMww+9r+xCIite8lYLrn/TRgm7eAc+5O4E5It4jFrfh77z+PvoEUew8fp2tsB5/4wTN844kXaGtu4o63nsEd318LwDff9zrmdo3mtDt+BMA33rOE67/+ay6cO4lv3fA6AObc9iApB3dfv4S5XaOBwVbKfNkyf3DXSl8r3KMffCOXfvlnQLplM7v9gx+4kPknj/PVt/7TS+lobc5+fmbftty3j4mj2thzeDCB+fiVp3Pzvb8p+H389lNLc4nLg09v58/ufSqwXLaVal7XaJ7bdYhZEzv56YcvHlIu6PO/8Lkr+MVzL/OH//pLAC47Ywor1u3ksjOmcN9vtg4p+8rh4yz+9AoAJo1u422LurnrF88z48ROtrxyxFf+69cv4aW9R7jjgWe4bsl0Pvf2hbl167Yd4PJ/eGxIPH979Zncdt+aIcvzXb24O9eavelvr+CGf+vl0d/u5EvvOItrXjuNFet2cuM9Q1tiP/O2BXw8cxx5P9ej63Zywz29tLc0sXTBVB5YtY0/fuMc/uVnm4aU9brpnl4eWbeTL7x9IdcumR56jHm3++bKzdzx/bVcvbibVMrx/VXbArcp5Kqzu/nK7y0qWCYslriG2ysQRomYiMjw/BqYZ2azga3AdcDvJ1V5a3MTXWM7APjE787n+vNn0dnWzOQx7czrGk17SxMLusf5tgm64yvbQhKnBSZbJn/sUdi2QS0DLZ7n7gTF09LsX9bSFN264N0mf/v8eI71p3Jj0Iqd3sEbSvZjhNUR9nihoOVmBeoJ+fgtMZ9f1BpSQXbz8DgL12822ORb1Fi0Eos2xlQcxVEiJiIyDM65fjO7GXgYaAbuds49U679zZo0Kvf63DkTfeuuXtzNeXMm0jNzAotnjOdjl58+ZPuOluiEJ1sm/062sG2DkoXmiAQiP/FqLZBYBe2nUPnsvnMPDo+s2c+bnGTrCuuFCktOmkK+k7DEpzlkedzur7DENP+7GLo+eLm3vFnhOgK3j1/Uv68itmsUSsRERIbJObccWB5ZsMy+fO1g18x9f3pBYJliWsTiLg9KFqJaNvITqZYYCYe3zkItaENasYq8ujcHtOaFthwV0dLUZBaazIR9X1EJbVZYwpZLokICjfo9mWfL4pKr+KW9sY3EFrGqTuhqZl80s/Vm9rSZ3W9m46sZj4hIo+toiU7EwsqELY+bLHjlJyphLUJhCnXZ5VqBQvYVHdvQuIJauCC8lSisazJM2HcYp6UQwr+P7OKwebrCvpugFrFivsdiDokm377ib9coqj2z/gpggXNuIbABuK3K8YiINKS/v24Ri2eM9yUUH7zsVK46u5tPLZvvu+Bny3z4zafllr37vJk0NRk9Myfw1bxB0YXGa4XK26ToC3DB8sl1TTZF1BG2PChpKZRshiUuccbOQXiLYnafYfOqRXW5pse1kXsdV6llR2AeVt2uSefcI563K4FrqhWLiEgjW7aom2WLun3LPnDJvNzrPzpv1pBtFk0fP+ROsf/8k/OHlAsbKF4t2eSilAQC8hKx3BixsBan+MvDWtUK1RM3yQ1rEcu2ZoXdqhs5WB9K65osorS/a7KInTSIWvrf817goWoHISIixSmpRayMmvK60oqded7fIla4Wy58EHzwGLHQfYZ2TQ5vsH6uazLiwetDBHUXFjPuq7iszfOyto6lSih7i5iZPQpMDVh1u3PugUyZ24F+4N8L1FPShIgiIlJeSU1smZTBBCyt6BYxz8dpjkrEwu6aDFhcaNxUWLdl7OkrIn4H3jSsuclyj2aKnr5icLh+MeO+ihus790u/j4aRdkTMefcpYXWm9m7gSuBS1yB5y2VOiGiiIiUV9xkoVJyiVSp84j5uiazy4LLhg7WL3JKj9AxYnFbxCJ+B97La5NB9lkL4WPE/P+mX5eWXEWW9XyJSsQqzMyWAh8F3uicOxJVXkREak8pd03mD1oq+rHHBcrnt/IUG53382TrCvuM4XdNJtU1GXOMWFSLmOf7SseRXhCWpAYtL9dg/ZGu2u3J/wSMAVaY2Soz++cqxyMiIjF9+m0LmDK2PXfR/otLTwXSDyiP8tmrzsy9vuWSeZzZPY7WZuO0qYMPUf7Qm06la0w777lgFuef4q9z/smDTxO48fWzAbjjyjMAWDo/PRom2wpU/GB97+vCrWphrURBXY0FE7HQrsl4l+mohM2bt/omrI36ckq8o3EkjvUqVbXvmpxbzf2LiEjp3nXuTN517szc+1suncctl84LLBv0nL78Zc999vIhZW7+neD6xnW2+ra//Yp0Eva+C2fzzZWbfWWHc9dktiWs2K7JoOWFcqrwrsm4d00W0yIWHVPQXtUiVh7VbhETEREpi5SLNyA9X1PAmKXQrskYdRRallsXUn/c8XdRCZt3QlfvvqJn1ve8LtOEriOdEjEREWlI2VagJMaIFTOWKr+O/LqChK2Le0dqVNdkasgYsbSwrsnBOdhKHUivTCwuJWIiItKQct1xRbaIBRUPS1iK6bIsafqKxLomBzOxoEQzX9AYL437Kg8lYiIi0pByeViR2wW3ZgWXLaZFrFDXXtiqpAbre8UZI5blf+Zk7F1IEZSIiYhIQ3K5MWLFbVfs44ni1lHIcB/63VzUYP0YLWJFtuhJ6ZSIiYhIQ8qNEUuga3I4A/6HUz72hK6RY8S8E7oOvSs033AndJX4lIiJiEhDyt4pWGz64HsIdebf4lvVkikfOc9XRtSD170tYv4xYoXrHemz3leCEjEREWlIgy1iw69rOHORxas/5GaAmFfp6OkrvPuK3q8avypHiZiIiDSkwcH6w88qiq2jpMc+BdUTt0UsKhELuWsyqv5S5xGT+JSIiYhIQyr1EUdJSGqfcVvWIqevCKmzmOkrNFi/PJSIiYhIQzl39okAfOCS9OORfv91MwLL/elFpwQuH9Mx+PS/Ny9IP7fygrmTmDq2I7f8DadOHrLdja+fkyt/9eLuIesnj2lnyax0bFcsPGnI+pPGdXD2jPEATJtwAjB4t+bbFp3sWz5k2/EdjGpr5h2vnQbANZl/53enn8nZM3NCrux7L5wNwKTRbXSNbffVk41rcELXwXX5eZgayJJR1WdNioiIJG3elDG551AuWzQ0Icr6yNLT+MjS04Ys72ht9j3HMvv6sY9eDKTHnrW1NA1Zn/9+w2fe4isHMLdrdOBzNwF+/pGLaTYbMlVGtvxXrzvbt/x4f4qWJuP4QIqO1mZ+81dvynVRLl0w1befOZP9+/U+IzQozkHhj0NSHpYMJWIiIiIxxH3cUFZ4cpNs/R1NzSXtL78er+E+9FviU9ekiIiIBDILnwYkaPC+C3gVxXsjwUikRExERER8gpIs3TVZHkrERERExCc3WJ/BOyjz87DA7suCa8P2NbITPCViIiIiEsh/16SFrpPSKRETERERHw3WrxwlYiIiIhIo6LmbQeukdErERERExCdoQtehhSoSSsNTIiYiIiJ5lGVVihIxERERCaQGsfJTIiYiIiI+GphfOUrEREREJFChOb6UrCWjJhIxM/uQmTkzm1TtWEREREa6ODmW7ppMRtUTMTObDlwGbKl2LCIiIqLZ7iup6okY8BXgIxTzhFARkRpgZl80s/Vm9rSZ3W9m46sdk0iSCuVjytWSUdVEzMx+F9jqnFsdo+xNZtZrZr27d++uQHQiIpFWAAuccwuBDcBtVY5HJBHKsSqnpdw7MLNHgakBq24HPga8KU49zrk7gTsBenp61HomIlXnnHvE83YlcE21YhFJUpwJXZWsJaPsiZhz7tKg5WZ2JjAbWJ3pi54GPGVm5zjndpQ7LhGRhL0X+G61gxBJUqEB+RpHloyyJ2JhnHNrgK7sezN7Aehxzr1crZhERPIVatV3zj2QKXM70A/8e0gdNwE3AcyYMaNMkYokR3dEVk7VEjERkXoQ1qqfZWbvBq4ELnHOBQ6b0NAKqVfqmiy/mknEnHOzqh2DiEgxzGwp8FHgjc65I9WORyQp6nWsnFqYvkJEpF79EzAGWGFmq8zsn6sdkEiSCuZjStYSoURMRHIWTU9Pg3XyuA7f8tOmjqlGODXPOTfXOTfdObco8/P+asckkoRR7ekOsyWzTmTO5FEAnDiqjbEdgx1pF72ma8h2i2dOAGDahBMAGN/ZCsDpJ40dLDPDP93e7EmdAJw1bTyzJ42KFd+4E9L1Zs9VC6eNi9xmQfdYX0zF6B5/QtHbxGUhQxpqWk9Pj+vt7a12GCINxznH/+0+zPQTT2DdtgPMnDiKo30DjDuhNXdiLtW+I8fpG3BMHtNe0vZm9qRzrmdYQdQAnb+kXqx+cR/zpoympamJtdv2c9a08Rw61s+xvgGO9qWYMq6d9pZm3zaplGPTy4eZ2zUagP2v9nGsb4BR7S3sf7UPB0zobKWzzX8+2bjrEKdMHkXfgOPJzXs5eLSPU6eMYe+R45w6ZQzb9x8FoK25CTMY19nKvsN9dI1t56W9r3LK5FGRd3EePtbPhp0HOaVrNPsO93HoWD/jOltpa27iuZ0HmTdlDGawY/9ROlqbOXi0j862Fo72DTBlbAdT8/5ALUah85cSMRGpC0rERKReFTp/qWtSREREpEqUiImIiIhUiRIxERERkSpRIiYiIiJSJUrERERERKqkLu+aNLPdwOaYxScBtfb8SsUUT63FVGvxwMiKaaZzbnIZ6q2oIs9fMLJ+x6WqtXhAMcVRa/FAFc5fdZmIFcPMemvtlnfFFE+txVRr8YBiGglq8fustZhqLR5QTHHUWjxQnZjUNSkiIiJSJUrERERERKpkJCRid1Y7gACKKZ5ai6nW4gHFNBLU4vdZazHVWjygmOKotXigCjE1/BgxERERkVo1ElrERERERGpSXSdiZrbUzJ41s41mdmvAejOzf8isf9rMFsfdtowx/UEmlqfN7AkzO8uz7gUzW2Nmq8wskacCx4jnIjPbn9nnKjP7q7jbljGmD3viWWtmA2Z2YmZdOb6ju81sl5mtDVlfjeMoKqaKHkcxY6r4sVTPdP5KLKaKHne1dv7K1FtT5zCdv4rknKvLH6AZ+D9gDtAGrAbOyCtzOfAQYMC5wC/jblvGmM4HJmRevyUbU+b9C8CkCn9HFwH/Xcq25Yopr/xbgR+X6zvK1PkGYDGwNmR9RY+jmDFV7DgqIqaKHkv1/KPzV6IxVey4q8XzV6bemjqH6fxV3E89t4idA2x0zm1yzh0HvgMsyyuzDLjHpa0ExpvZSTG3LUtMzrknnHN7M29XAtMS2G/J8ZRp2yTrfSfw7QT2G8o593PglQJFKn0cRcZU4eMoVkwFlO17qmM6fyUUU5m2TarOsp+/oPbOYTp/FaeeE7Fu4EXP+5cyy+KUibNtuWLyeh/pv1KyHPCImT1pZjdVMJ7zzGy1mT1kZvOL3LZcMWFmncBS4L88i5P+juKo9HFUrHIfR8Wo5LFUz3T+SjamSh139Xj+gto+h43481dLkpVVmAUsy78FNKxMnG1LEbteM7uY9AF4oWfxBc65bWbWBawws/WZLL6c8TxF+tELh8zscuD7wLyY25Yrpqy3Ao8757x/xST9HcVR6eMotgodR3FV+liqZzp/JRdTJY+7ejx/QY2ew3T+SqvnFrGXgOme99OAbTHLxNm2XDFhZguBu4Blzrk92eXOuW2Zf3cB95NuEi1rPM65A865Q5nXy4FWM5sU97OUIyaP68hr1i/DdxRHpY+jWCp4HMVShWOpnun8lVBMFT7u6vH8BTV4DtP5y7/zuvwh3Zq3CZjN4AC6+XllrsA/QPFXcbctY0wzgI3A+XnLRwFjPK+fAJZWIJ6pDM4ndw6wJfN9Ve07ypQbR7o/f1Q5vyNP3bMIH8RZ0eMoZkwVO46KiKmix1I9/+j8lWhMFTvuavX8lamzps5hOn8VEVeSlVX6h/SdIBtI39Fwe2bZ+4H3Z14b8LXM+jVAT6FtKxTTXcBeYFXmpzezfE7mF7waeCapmGLEc3Nmf6tJD5o8v9C2lYgp8/564Dt525XrO/o2sB3oI/3Xz/tq4DiKiqmix1HMmCp+LNXzT4z/myP+/BUzpooed1HxZN5fT4XOX5m6a+ocFiMenb88P5pZX0RERKRK6nmMmIiIiEhdUyImIiIiUiVKxERERESqRImYiIiISJUoERMRERGpEiViIiIiIlWiRExERESkSpSIiYiIiFTJ/wN804BHzfmDQAAAAABJRU5ErkJggg==\n",
"text/plain": [
"<Figure size 720x720 with 6 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"n = 1000\n",
"alt = np.linspace(0, np.pi/2, n)\n",
"az = np.ones_like(alt) * np.pi / 2\n",
"lat = np.ones_like(az) * -27\n",
"\n",
"_, ax = plt.subplots(3, 2, figsize=(10, 10))\n",
"\n",
"eh, ed = erfa_ae2hd(az, alt, lat)\n",
"ah, ad = astro_hd_frm_hz3(az, alt, lat)\n",
"\n",
"ax[0, 0].plot(alt, eh)\n",
"ax[0, 1].plot(alt, ed)\n",
"ax[1, 0].plot(alt, ah)\n",
"ax[1, 1].plot(alt, ad)\n",
"ax[2, 0].plot(alt, eh-ah)\n",
"ax[2, 1].plot(alt, ed-ad)"
]
}
],
"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": "3.7.4"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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