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July 25, 2022 15:22
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RV Shifting demo with muler
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{ | |
"cells": [ | |
{ | |
"cell_type": "markdown", | |
"id": "c3178c23", | |
"metadata": {}, | |
"source": [ | |
"## Radial Velocity Shifting\n", | |
"\n", | |
"Often we want to radial velocity shift our data. Here we show a few examples of RV-shifting with `muler`." | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 1, | |
"id": "18d434f2", | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"%config InlineBackend.figure_format='retina'\n", | |
"from muler.hpf import HPFSpectrum\n", | |
"import astropy.units as u\n", | |
"import matplotlib.pyplot as plt" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 2, | |
"id": "3ec7dbad", | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"path = 'https://github.com/OttoStruve/muler_example_data/raw/main/HPF/01_A0V_standards/'\n", | |
"filename = 'Goldilocks_20210212T072837_v1.0_0037.spectra.fits'\n", | |
"data = HPFSpectrum(file=path+filename, order=4).normalize().remove_nans()" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 3, | |
"id": "5ccf5084", | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"rv = -700 * u.km/u.second" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 4, | |
"id": "c8306475", | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"data_clean = data.sky_subtract(method='vector').remove_nans().deblaze().normalize().rv_shift(rv)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 5, | |
"id": "22a53a9d", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": 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JkiRJSnmGYJIkSZIkSUp5hmCSJEmSJElKeYZgkiRJkiRJSnmGYJIkSZIkSUp5hmCSJEmSJElKeYZgkiRJkiRJSnmGYJIkSZIkSUp5hmCSJEmSJElKeYZgkiRJkiRJSnmGYJIkSZIkSUp5hmCSJEmSJElKeYZgkiRJkiRJSnmGYJIkSZIkSUp5NS4ECyH8LIRwZwjh/RDC8hBCDCE8WsI+WoUQzgwhPBtCmBRCWBNCWBZC+CCEcEYIocb9u0iSJEmSJKlgdaq6gFK4DhgIrARmAf1K0ccxwD3AXGAkMANoBxwF3A8cGEI4JsYYy6ViSZIkSZIkVamaGIJdShJ+TQJ2JwmxSmoicBjwcowxd/3BEMI1wKfA0SSB2NNlrlaSJEmSJElVrsZN+4sxjowx/lCWUVoxxndijC9uHIDlHf8R+Efe0z3KUKYkSZIkSZKqkRoXglWCrLzH7CqtQpIkSZIkSeWmJk6HrDAhhDrAKXlPXyvmNWMKOFWatcokSZIkSZJUARwJtqlbgW2BV2KMr1d1MZIkSZIkSSofjgTLE0K4CLgc+B44ubjXxRiHFNDfGGBw+VQnSZIkSaooy1Zn8d/PZlA/I51jh3ahQd30qi5JUgUwBANCCBcAfwPGAXvHGBdXcUmSJEmSpEpy+5sTePij6QCszszhvD16VnFFkipCrQ/BQgiXAH8BviUJwOZXbUWSJEmSpIqyaOU6VqzNpnvrRj8dWx+AATz68fRihWDfzVnGs2Nn07lFA+qkp7Fb7zaMm7uM/342k937tOH0EVtVSP2SSq9Wh2AhhKtI1gH7Etg3xriwaiuSJEmSJJWX7Jxc/vzmRL6bs5yzdt2Ke9+bwgeTNn3b165pvU2er83KASDGyIR5K2iQkU5aCPy4fC392jehSf0MXvv2R859tKA90uDdCQu48cVxvH7JbvRt36T8fzBJpZLSIVgIIQPoCWTFGCdvdu43wE3AGGA/p0BKkiRJUs0TY+Tz6Uuom57GwC7N+WrmUu4eOYk2TerRtkl97nk3eSs4auKCfK+ft3zdJs8Xrcrk9y+P4/4PphJj2Wrb/6+jGNKtBaeP6M4O3VuyLjuXLi0blq1TSaVW40KwEMIRwBF5T9vnPQ4PITyU9/3CGOMVed93AsYD04HuG/VxKkkAlgO8D1wUQtj8VtNijA9tflCSJEmSVHYxRsZMX8KyNVns1qcNGelpfPDDQv75/hTqpgfu+fkQMtLTfmq/aOU6Wjaqy5LVWdw7ajKT56/krfEVs5rNfe9PLbe+xkxfwpjpS356vne/tvzrtGHl1r+k4qtxIRiwPXDqZsd65H1BEnhdQeHWT85OBy4poM17wEMlrk6SJEmSVKDXv/uRRz+ezrezl7FkddZPxxvVTWdVZs5Pz3tf+yqtG9dl4crMqiizwrz9/Xy6X/0yACfs0JUBnZoxfu5y9uzXhgUr1vHO9/M5ZLuOHDqwYxVXKqWeEMs6vlP5CiGMGTx48OAxYwqeJy5JkiRJqW5tVg7PjJ3NsjVZHD24Ezvf+g7ZuTXnfegv9+rFs1/MZtaSNZV6378etz1HDOpUqfeUaoIhQ4YwduzYsTHGISW9tiaOBJMkSZIkVUMxRnJyI3XypjHGGDnlX5/y6bRkCeY/vPZ9VZbH74/clnFzlvPYJzOKbHvQgPb89pBtaN+sPpfv15epC1dx2ZNf8sWMpUVee/m+fRjRuzVH/X10qWu95IkvadYwg206NqVVo3qkp22xhI+kEjIEkyRJkiSV2dxlazjtgc+YvXQNvzmkP8cN68rNr4z/KQCrKCfv1I1L9unNwx9N5463f8i3zZ5923DbMQNp3bgeS1dn0rVlQ+rWSWPRykxmLF7NmbtuRd/2TXhqzCxWrM3muKFdaNGo7iZ9bNW6Ec+ctzPPjJ3NlzOXctywLuTkjWjbrnMzPpq8iD++PoFOzRvw85260aJRXabdejB3vP0Dt785sVQ/2+kPfgZAp+YNeOHCEbRsVJfXv5vHD/NWcPSQznRs3qBU/Uq1ldMhK4jTISVJkiTVBk+NmcVr3/7IW+PnVep9T9ihK8cP68J2nZuxfqOzleuyOfWBT1m2JovL9u3Dflu3+2lUWnXwzvfz+MVDn5dLX4O6NueRX+xAk/oZ5dKfVFOUZTqkIVgFMQSTJEmSlIomzV/B45/MZPnaLHq3bcwtr5ZtimO3Vg2ZvWQN2bmRaw7qx22vTyArZ8P71KfPGw7A9S98R4OMdK4/dBu27dSsTPesaj/MW0HH5g3IiZEZi1bzt7d/4M1xpQsRbz1qAMfv0LWcK5SqL9cEkyRJkiRVqHXZOazLzmWf20eVa79/OW57Bndt8dPz3fq04e6RkxkzbTH3njyUAZ2TwOulX+5arvetSr3bNfnp+207NeO+U4ay081v8+PytSXu6+pnvmFQ1xZ0a9WQecvX0q1VIzKzc5nw4wr+9MYEFq/KZJuOTXn/h4Vs07Eptx0zkGYNHD2m2skQTJIkSZJUqH+8N5lbyzji6zeHbM09705iYOfm3H3SYL6ZvYwOzerTuUXDTdr1a9+UO08YVKZ71UQ3H7Utf3h1Al1aNuS2n23HlIWrOPqe4i2sv/9fNwST/Ts0Zfzc5Zuc/2b2MgBmL13DTmNm8Ytdtiq/wqUaxBBMkiRJklSgGYtWlzkAu+7g/pyxy1acsVH4Mqx7y7KWllL26teOvfq1++n5kEZ1OXmnbvz74+kl6mfzAGxzMxavLlV9UiowBJMkSZIkMXrSQp4aO4tderVmTVYO1z77bYn7ePysHRneoxUhBL6auZQHPpxKn3ZNOG3n7uVfcC1w9m49+GH+CpauzuLs3XpQJz2Nzi0acNTfizdCLD+zlqzhrXHz6N66Eb3aNi7HaqXqz4XxK4gL40uSJEmqKSbNX1Hmtb4u2qsXl+3Xt5wqUmGe/HwmoyctJC0Envlidpn6unSfPpy561Y0qucYGdUMLowvSZIkSSq10x78rFTXHb59R44a3Jl1WTns1a9tOVelghw7tAvHDu0CwOX79+XSJ77k06mLS9XXX96ayEdTFrJP/3Y0rleHA7ftQLOGLpyv1GQIJkmSJEm12OrMbGYtWVPs9scN7cJ5e/Rk5bpstunYlBBCBVanonRq3oC7TxzM1U9/zdvfz9/kXN92TXjy3OHMX76Wff9S8Ei/j6cs5uMpSYh29TPfcM1B/ejeqhG79WnDghXruObZb1ixNpsbDtuG7bs0Z8ai1bw1fh67921DzzZOqVTN4XTICuJ0SEmSJEnV1dqsHP70+gTu/2Bqoe323bodTerXYVDXFpy4Q1fS0wy8qrusnFzeHj+PpvUzGN6z1U8h5T3vTuYPr5VtgwOAod1a8Pn0JQA0qpvOJ9fuQ2OnUqoSOR1SkiRJklRsB/x1FNMWFb5LYOvGdbnvlKGVVJHKS0Z6Ggds22GL4+ft0ZN9t27H+LnL2ad/O3JiZNvrXy9x/+sDMIBVmTlse/3r3HHCIPbp35YGGenMXbaWKQtW8cCHU9l363YcP6wLqzNz+GH+Srbr1Iw0g1RVIUMwSZIkSUphWTm5nPvvMXw8ZRGrMnPYYauWRQZgGemBx8/aqZIqVGXp1bbxJjtCnr1bD/45akqZ+73oP1/ke/yd7+fz62e++en5Pv3bcv+pw8p8P6m0DMEkSZIkKYX97a0fNlkrqrAF1Cf+7kBmLF5Fmyb1adbAxdFT3ekjuvPVzKUsWLGOK/bvy+592rBNKUaHFddb4+czd9kaOjRrUGH3kApjCCZJkiRJKSQ7J5dPpy2mVaN6nHjfxyxalVms6x44bSh166TRq22TCq5Q1UWHZg144pzhmxw7d/eePPDBVAZ3a853s5ezYl12ud5z+C3vsG2nprz0y13LtV+pOAzBJEmSJCkFfDdnGf/7fBYPjZ5W7GseP2tHZi1ZQ+fmDRjes1XFFaca4+oD+3HFfn2ok57GmOlLeGbsLB77ZMYW7Q7ergMvfz23VPf4dvZypi1cxbzla2nVuN4mUzSlimQIJkmSJEk1XG5u5OxHxjB76ZoSXbdzz9YVVJFqsjrpaQAM6daCId1acO7uPTn4jvdZvjYZFXbu7j25+sB+3H5sDmc9MoZRExeU+B57/Ondn77fqnUj3rl89592spQqiiGYJEmSJNVw67JziwzATt6pG//9bAZZOZGM9MDbl+1ROcWpxuvSsiFf/HY/Vmdmk50TadGoLgD16qTzixHdfwrBWjWqyzPn78yyNVkM6NSMnNxIZk4uFzw2lpETCg7Kpi5cxT63v8dWrRuz3zbtOGDb9qzNzKFt0/qV8vOp9ggxxqquISWFEMYMHjx48JgxY6q6FEmSJEkp7rNpiznmHx8VeL5Hm0a8c/keQLJmWHpacNSNykVubuTFr+cwecEqjhvWhU7Nt1z0fm1WDu9OWEDdOoFfPPR5sfvu0boR71yxRzlWq1QwZMgQxo4dOzbGOKSk1zoSTJIkSZJqoG9nL+PE+z7+aYra5hrVTadx/Tpk5UR+c/DWPx1fP9VNKg9paYHDt+9UaJv6GekcsG17AN6+fHf2/vN7xep7ysJV7PWnd3ngtGF0b92ozLVKhmCSJEmSVEMsWZXJy9/M5f73pzBt0epC235y7T40yEgnxmjwpWqjZ5vGPPyLHTj1gU+L1X7KwlXc9voE7j5pcAVXptrAEEySJEmSqrHxc5dz+ZNf8cP8FWTlFG85m64tG9K43vq3e057VPWye582vHDhCN74bh53jZxUZPuXv5lL51fHc/7uvWjWMKMSKlSqMgSTJEmSpGpm5bpsvp65lKHdW/K3t35g3NzlJbr+N4dsXXQjqQpt17k523VuTu92jbn4v18W2f7e96Zw73tT+PWB/Vi6Jovnv5jNUYM7c8X+fSu+WKUMQzBJkiRJqkZWZ2az2x9HsnhVJv07NGV8MQKwS/fpw8X79CY7J5fcCHXrOP1RNcPh23eie6tGzF22hj7tmnDve1N44vOZBba/5dXvf/r+rpGT2L1vG4Z1b1kZpSoFGIJJkiRJUjXyxYylLF6VCVCsAAxgYJdmgIveq2Ya2KU5A7s0B+DWowfwi122olOLBrz41Rx+/cw3hV57zD8+Ylj3Fuy3dXt+NqQzLRrVrYSKVVP5X0hJkiRJqiYmzV/BSfd/Uuz2PVo34rihXdilV+sKrEqqPCEE+rZvQuN6dThhh67s2rvo3+3Ppi3h96+MZ9D/vcnUhasqoUrVVI4EkyRJkqRq4L2JCwrdMa9Vo7r885ShTF6wkok/ruCEHbvSs03jSqxQqnw3HzmACx8fy1ezlhWr/Z5/epcL9uzJ5fv2JS3NTSG0KUMwSZIkSaoG7n1vcoHn9u7Xln+dNgyAId1aVFZJUpXr0rIhz1+4CzFGHv90Bg+PnsbEeSsLvebukZMZ+f0CTh/RnSMGdSLDacLKYwgmSZIkSVUoxshNL41j9ORFW5y76fBtOGDb9rRtUr8KKpOqjxACJ+3YjZN27MaSVZmsWJvNAx9O5aHR0/JtP27ucq586mvS0wJN62ewZHUmB2/XgYZ1jUFqM//XlyRJkqQqMnnBSn7x0GdMX7R6i3NvXrobvds1qYKqpOqtRaO6tGhUl/P36MnKddk8NWZWgW0ve/Krn77/dvYybjx828ooUdWUIZgkSZIkVZDla7O4+51JLFyZyVm7bcXk+at4/4cFrMrM4cWv5hR43ZSbD3I9o8JkroK0OlCnXlVXoirUtml9/nTMQJ77YjbZubHI9g9/NJ2HP5rOH44ewHHDulZChapuDMEkSZIkqYL8+6Pp3DtqCgBPjy14tMrGBnZpXr0CsKw1UKc+hCqoKUbIzYH0jd66jnsenj0PMurDSf+DTkMqvy5VK7ccNYDrnvuW5g0zuO7grfnlf74otP1VT39jCFZLuTqcJEmSJFWQ9yYu2OLYbXX+wdh6Z3NdnX/ne83xw7oU3OHKBfDR3fDDm0lAtHIB/Gt/uK03fPNU/tfECOvyFhKf+zX8Y9fka+7Xm7bLWgtrlibfL/wBxr0Ab/wGbukCNzaHP/WF757d9JrVi+HlK+DpM5NrihIjzB4Da5cX3Xb5XLhnBNzcAd75/Ybjr10DWatg9SIY9afkvtM+SPpWrXTM0C6M/c2+fHDVXhw6sCM/G9K5yGu6X/0yD3wwldxijCBT6gjR/1BUiBDCmMGDBw8eM2ZMVZciSVVr5XyY+Sn02APq1cBt3FfMg4wGUL9pVVciSapsuTmw4kdo1in/8zHCjI8g5kK3EZuMlIox8vyXc7jkiS8B2DGM5666f6NN2DT82W3dX5gR2wHQq21jDtmuA+fu3pP6GekbGmWvS2qp2xAeOgSmvb/hXFoG5GZteL7vTdBhe+i+K2SugHnfwYMHFvwzbn0E7HpZEnZNfa8Y/yjAxV/DggnQvCs8dgwsm5F/u+Mehb4HwdwvYfJI2PpwGPn7TYO0PgfAYXdB4zZbXv/urfDuLRue73AOHPRHuKFZ/vcbcXHy80vAx1MW8fyXczh0uw48NHoab4ybV2DbT6/Zm7ZNk80nFq/K5LVvf2Rwt+b0a+/rv+poyJAhjB07dmyMscTDQA3BKoghmCQBqxbCX7aF7DXQqhdc8BmkpUHmanj1Spg/HkZcAlsfVvw+c3OSF95p6dCmb3Js6Qxo3B7q1M3/mhg3ncKRk5WsJVK/WeFTOz66G16/ZsPzk56G3vts2mbS2/DBX5Ja9v2/5A3KupXJtJH0QlYdyFwNc76AzsMKrltShVixNot6ddKpWyeNGCNfzlxKk/oZ9GpbsqB+zPQlvDV+Hvv0b8eQbi0qqFpVuhghJxOmj4Z/H7Hh+G8XJ3+3Jr6WBDvttoaP/wGvXbWhzQ5nwx6/hoYt2eH3bzF/xToGhCncmXEn3dPyfwM+KmcA3cI82vQaTMOug6DFVvDN/2DSmxX7c1ZHg0+FHrvDrDHJKK+v/1vyPk55HkbfmQSBe16bvO5YL2st/Pg1dByc/I2e9kESYg44Bpp3g9ljoUFzaNVzy35nfAw/fgPbHAWNWpX2J1QVWrYmi4E3vlFom3tOGsx5j4396fkrF+3K1h0NwqobQ7BqyBBMUsqJEeZ+BY3bQtOOW57PyYaYs+kCteNfgidO2vC8URs4/O/JC9vnzt1wfNufwe6/2hBqxZgEUDM+gr4HQvsBQIDxL8Co2wqu8bjH4ON7YOGE5BP5w++CsY9sCLKO/w8sngxvXJc8b9ASLvka6jWBtcuST9obt4XFU6BRW7hls0/+G7eDKyYmQdx3z8I7v4MlUwv/d9vzuiQErN8seZHdtGMSgP1tIKyaD826wL43Qqeh0KLblte/dUPyM/TaF478R9WsxyLVUDFGZixezf8+n8WCFes4defuHHbXB0UunnzeHj1547sfmbxgFS0b1WX7Ls1ZvCqTB08bRotGSWi9dHUmO978Nuuyc6lXJ41Prtmb5g03BNoxRtZl51I/I501mTk88tE05ixdw6k7d6dHmxo4KramWrs8GYXUdTikZxTcLjcX1i1PRk09dFCZb5t76B08+9yT7JQ2nk5hUZn7Uxls/3P48tEtj+/x601HmW3s5Geh517JaPAGLZLXFf/YJTnXvGvywdvaZXDIX6D7iC2vXz4nea3TfkD5/RwqF5MXrGTvPxdzxGOeD67ak84tGvLBDwsZPXkhh2/fib7t3bW1KhmCVUOGYJJSxoofk/Dq9Wvgk39ASIdTX0gCozeuS0Kj7Y6Dt26ErNUw+BQY+ovkU9TxL8ITPy/efXrtCz/PW8tk2ofl8iaEYWfBZ/eV7tqMRsl6I5urUx+y15a+phGXwJR3kzdlm7vgM2jTZ8PzFT/Cn/tueN51OJzywqYjx376VHvQhjd4OdnJSDkDM9VQ0xetYvqi1ezcsxXrsnNZuiaLenXSWJuVQ6fmDQj5/G7PXLyaFo3qsmJtFulpgWYNMuh73WvlWtfwHq34z9k7AfDFjCUc+ffRpeqnb7smnDaiO4cN7Eijeu5TVe4WT03WnOo2Au4csuG/5Y3aQp/9oGWPZFfBcS8AMfngZc7YQrtULZfRMHmNk5/fLk7+5q4342N4YP8Nzy+fCE3aVWx9KpG1WTn859MZ3PjiuGK1P35YFy7cqxe7/nEkMULHZvV5/6q9SK9Om1fUMoZg1ZAhmKQaJ2ttEs40ag3fPgMzRifT9SCZIrB0esn6O+4xePLkZJ2U4up7MLTuDR/+tWT3SiXtBkDXHeH7l2HF3ILb7XNj8r/V69ckn0YDXPItTBkJr1+bjGho0x+GnQE7nFU5tUsltHJdNqMnLWRo95a0bFSXnNzI2BlLOOYfHxV57TFDOtO1ZUPem7iAz6cvqYRqE7cfO5D+HZpy+5sTebOQ9WWK4/DtO/K34wf99DwrJ5e0EHjp6zm8O2EBJ+7YlWHdW5a15Jpp/Ivw5vXQojscfT80LOLfIXMVPH7cpmtlqWjtt0s+SCmODttDzz2TJQC0pYatoN8hMPbhLc8d8pdk1DsR3v0DfP8SZK6Euo3hwD8ko95V6d6dMJ/THvysWG136dWaDyYt/On5l7/dd5PRv6pchmDVkCGYpCqTmwvETT+V3Fx2ZvLJeIO8NWyy1sLv/ZQyZQ0+JQnNGrZMpgZlNCh8WpBUwWYuXs1n0xZz3XPfsjozh8b16vCHo7fjgsdr32icowd3pkn9Ojw0elq+5/9z1k5k5uSyNisHgGfHzmZE79acvFM+06dTyR97JNPJAPa5AXa5NPl+yTQYfdeG0bQ99oCsNfDRXZVfY2kd+0gSPt2x/YZjA09I1pp6/JhN257wX/jP8cn3bbdJRgKv/4BqcxeOgbqN4PZ+W54bekYy9T69XvLf/5ibTNlr3iUZ2f3pP5PR3Z2GJh/ALJ+dXLf1EbDblclaWH0PTNbLeuVX8Om9yfltjkpGhKdnJNc26wzPnZ9MHyzIgX+EHc9Jvv/8QXjpksL/vVJJfqPMD/0bDDmtSspRyYKwja2fIqmqYQhWDRmCSapQOdkw4eXkDcK2RyfrTQHM+hz+d1oyZP/QO2DNEnj/T8kUvqadkt0Zu+2SLEpfkx35T3j27Kquoubpe3DyewPJp88990reXLbqmax7Uqdesmba2mWw1e6FB6lSCazNyuHb2cvYpmMzZixezf5/HVWl9Ry4bXte/fbHn553adkAgJmL11RVSSV294mDOXi7DgD859MZvPjVHA7Ytj2nDO9etYWVxrQPkqn2875N1ltst+2GkGW9s9+Ff+5RFdUBsKT9COo3aUGDH17a5PgzObvwbM4uXFLnaTqFhayMDeiVNqfgjo74Bww8PpmunrUWxj2XHN/6CMionwRc794KTdonH140aJ4sxj/nC+h3cPL3PicLJr21IRxr2hlOfmbDuppvXr9hRPUxD8M2R5Tsh83NhZkfQ5t+BY/AWz43GY2c3wcq2Zlw19BkBHmnIXDm28kmA5krodc+W/5tyVqbHJvwCjx5yqbnznoHls1K/iatXZYEZh0HJRsTtOoFIS35t6zTAN7/M7x7c8E/1w7nQNt+0Hu/ZEfL+cWbClfhdr0C9v5NVVdRq02av5Ir/vcVa7NyaFo/g0+nLS7ymkFdm5OdE9m1d2uu3L9vvtP0VXEMwaohQzBJ5WbBhOTT2q12g5mfJi/yNt4xqufeyXSRxZOT6YyppMVW8Msx8OLF8NV/oHVfOPeDZNeuu3dIXmDXa5oEfEumQb+DYMdz4fkLC/8UGuCGZcnogSdPhR9eL7xtet3knvlp0AJ+9mDyAn3RD8lC9yvmJnX9qdeGdt1GwPQPS/TjV6mdfwn7/S75Picbpn8ArXpDs06FX6daa+nqTGLkp4Xjs3JyuePtH7jznUlVUk/3Vg2ZtmjTNXzO3GUrrti/L6szc3jy85k0b5DBkYM7Ua9OOjm5kZHfz+fz6UuYuXg1mTm5nLdHT44q5bpfleG+U4by4/K1/Oa5b3869vblu9OzOi+8H2Oy6cnyOdBpMNwxqOhrKtNxjyXT8hu0YOGTF9Nk+pu8l7sd52RdSiSN7cJkrqjzJAtoxu+yfs4S8t817sz0l7ku47Hkyfkfw6zPoPMOSQhT0XJzYPLIJEDrNKRq1ofMXgc/fgsdty/ZByq5ucmOkLM+T6Ze9j+0ZPd95/cw6o8bnvfcO5mm2Kwz7HLJhg8NAaa+D5PfgQ9u37SPCz6Dd/4v2YynIPv+H7xZTsHVGW9Bl2Hl05fKbE1mDi9+PYfc3MjVz3xTrGteuHAE23VuXrGFaROGYNWQIZikcvHDW/DY0VVdxQZpGZCbVbprG7eDk56CtltvCPGmfVD4FJbfLEq2MM9PTlYSELbdetPtzyEJbb74dxIM9tgTWvdJwsMxDybnR1wM+960of24F5KpIGnpyXTBzRdIPv01aL9t8qK+UesNx7PXAWHTheo3tm5FstNYp6HJm5BJb8Psz5PRexkNYeYn8PQZ+V+713XJp97bHZ/ce8GE5BPvu4YW+M9V7o64B755Cia/veHYeaOTcLKuUwCUvFn43cvjeOyTGZsc79+hKXv0bcM9704ut3tNu/VgcnMjIcCXM5dy1iNjWLhyXb5tP7x6Lzo1b8ClT3zJs18k07pO2KELNx85oMSf1scYyc6N/OfTGfz2+e82ObdD95YM6NyMf32w5S6xp+3cncv368Pytdm0b1qfg+94n+9/XFGie5fGYQM7cscJg1i6OpOlq7Po3rpRhd+zWJbOgCYdNh3BVJmOewz6H5J8//3LyYcr7baFo+6Dxm2S/17X27DbW1ZOLr2vfZU0csklrYBO87fjVi157MwdqZNesutUDnJz4Nlzkr+vu1wGQ08v+pobNgrG9voN7HZFEsbN+AiePhNWbDay78rJyWuB9/4II39feN+teicfkBXmwjHQulfhbVQl3hw3j7Me+bzIdg+cNpS9+rmsSGWqVSFYCOFnwO7A9sBAoAnwWIyxmNuPbdJXZ+Am4ACgFTAXeA64McZYphVWDcEkbSE7Mwkx1oc6CyZC9hroMHBDm5xsyM37+s/x1WOB3z4HwIlPJN9nroabO2w412tfOOl/SdBTr0mybfjiKcmbi/njk2kU+9yQrNmSXjf/aRPv3QYjf7fl8cPugsEnl9/PsWohfPav5N9/6BnJJ+T5WbcCbum86bHNd34qT9nrkrArrQ78bfvkd2K3K2H3X+XffvXiJMxLr5eMfvv6yWR79o6Din4xXt6GnpFM4Vi/tpxqhXFzltOsYQYdmtbnL29NrJCRXs0bZrB09YbA/aQdu/L7Iwds0ibGyEF3fMD4ucsBOGhAe3q1bcIxQzrTpWUS0q7OzOaVb36kbZN67NKrNWll2MlrXXYOA254g8zsZLOPO08YxKEDO/LNrGUc+fcPyc6NHD+sC7cevV2+1+fmRr7/cQWdWzZguxveKPJ+n1yzNzve/HaR7fLzzPk7c8I/P2ZdXq0/36krVx3Qjyb1K2ktwNzc5I3/4ilJ+DXxtWTETXnZ/iRYOT8ZHb1uWf5t+h+WfNCyZjG07Annvp+sl1WI7Jxcnv9yDpf/76tSl/belXvQrVU1CR5VPCNvgff+kARbZ7+bjBpbL8YkuJ34evLabKfzNkw7hWSa6pu/TaaHZq+FZTPhsDuT10dN814vTXxjy7Xe1uu8A5zxhrs5V2P//XQGd74zidlLi54uf9auW3HaiK3o1LxBJVRWu9W2EOxLkvBrJTAL6EcpQrAQQk9gNNAWeB74HtgB2BOYAIyIMS4qQ52pG4LlZMNXjyejEgafknzCMeUdWPFj8oKjfv7DwqVa7Zun4KVLk08od7scls2Gz/+VnBt2VhIQfXx35dVTp36yY+DoOzc9/ovXYczDyf/H1zvpaei9z4bnqxcnO0OtXZaMqGrVs2y1xJi8UUmrk2xbX69xEhZmVOELiI0/FYZk6mRliDEZ4VbQyLLiWjY7meLZph90HQ6/b5+8OK8o+/4f7HB2sp6NUtqfXp/AXSPLN/S6aO/e3PH2hpES+23djt8eujWnP/gZP8xfSd92TXj4FzvQvtmWv1+r1mXz3sQFbN+lOR0r4U3HG9/9yL8/ns7Qbi25aO9eP40qm798LbOXrmH7Ls2LNdIsNzdyUN7IsPoZaazN2nQX3Um/P5A66Wl0v/rlLa7t175JqUeUtWpUl0WrNkzt7taqIW2b1OOwgR05uSxrieXmJCNvYm7yt27hxNL3VZRzRm364dHqxcmOuIsnQ+dhydT0zkM3rGW1fA40br/FiOGc3MiUBSt/mjr67sT5/OuDqXw4qdQv/9m7X1v+dZrT2mqk5XOTaZNl/ftblG+fgafyRqcd+Mfkb6cBWI2Qmxt5Y9w8zn206Pf3U285yDXCKlhtC8H2JAm/JpGMCBtJ6UKw14H9gItijHdudPx24FLg3hjjuWWoM3VCsO9fgbeuh0Zt4Yi7Ye7X8GTe6IzWfZNPRNbv6tLvEDj+sSorVapW1q1IdrD64Y0tp9dVpl0uhQmvwoLvkzcCfQ+EbY6E7rvCJ/+A13+dtGvYGi4bn7wAzM1NRqE16QBt+lRd7VXl5Svgs/uS7ztsD+e8V6XllNmdQ2BRJazLNOwsGHZGMiKwiBEXqp7WZefw+nfzyEgL7LN1OzLypnONnryQBz+cxpvj5pXbvS7aqxeX7ZeMqMjJjbz41RyWrs7k8O07/bSuWKrLzsmlTnoa0xau+ml3yKsO6EeDusnI0zHTl3D0PRvWJDtxx67cfOQAHvhgKje9VL6Lep+2c3duOGwbAKYsWEnTBhm0blwPFk5KFqtv2z+ZTrh2WfLacPI7kLkq2aBl5sdlu3mbfsnfqM1ttRtMHZX8vTrinmQnwzJYvCqTRSvX0a1VIw746yimLFxF3Tpp/PHo7bjkiS9L1Ndrl+xKswYZtGtSn/d+WMCMRas5bGDHWvO7K9VWn01bzAtfzuHfH08vsE3rxvUYffVe1K3jlOiKUqtCsI2FEPagFCFYCKEHMBmYBvSMMeZudK4JybTIALSNMa7Kt5Oi75E6IdhtvWHV/OK3r6wRE1J1tnLBpouiV4WOg2Dv3yY7ABZmwqvJgu0Djtn00/XabNksePWq5M3e3tfX/AVrX79207XXQloyYmNjzbvBL8fClJHw2M/K575pGclCxE06JLuaNWmfTI2qUz+ZJtVum03W4FHVu/XV7/nHe+W3jldBerdtzPMXjqBh3QLW/NNP1r9W33hUwbzla0s9VbIw7VnE9RmPsG/aGG7JPoHjd9+O3qOvKvf7bOLMd5JpaJ8/kATo9Zsl/+0dcEyZZxd8Nm0xv3t5PM0aZHD8sC5c8t8vyczJpWWjuixeVcBmJ/no1LwBl+/Xh1899TXZuZGrD+zHubuXcRS0pBpt2sJV7PGndws83yAjncv27cMJO3alcT3/1pU3Q7CSh2BnAvcB/4wxnpPP+fWjxPaJMZbqFUZKhWCbTwsqsr0hmGqBKe8lIyRzc5JpfLlZULdxsuD5nC/gy3IeEbnjecmOg5AEWy22SqZPjn0kWfi9VS949coN7Q/8I+y4xX/eVFutXADv3QrrVibrjTVoAeuWJ7uKTnk3Cf22OWJDILVuJdyy0S6QJz4Jjx+7aZ+H3w1v/x+s/LH4dXQammwMsF7dJnD6K8m03MVTknXQ+uxfyh9S5SG/6XclccrwbhwzpAuH3vXBJsc7NW/AQQPac81B/Vm6OovmDTOcKlJGt7wynoc/mkaDjHTuOnEwPdo0YvgtpVt365j0dzkx/R0GpVXiTp7DzoIDbi1485NycPAd7/PdnOWluvaowZ3o3bYJZ+yy1U+jOeYvX8vKddn0qM67b0qqND8uW8v/vTSOl7+ZW2i7/bZux1m79WBotxb+7SsnZQnBiDHW2C9gDyACj5bwutvyrru8gPN35Z0/rxh9jSnga1WHDh1iXj9Ffp111llxc2eddVaxr7/++uu3uP6QQw4p9vX33nvvFtcPHjy42Ne/cHyDGK9vmnwtnhbjj9/FDq2aFPv6zz//fIv7F/daIM6ePXuTa2fPnl2i6zf3+eefF/vaDh06bHH9Cy+8UOzrBw8evMX19957b7GvP+SQQ7a4/vrrr689v3svvLDF9SX5/16Zf/cua7zhd//6pnH2ZY1L9ru30bXx+qbx87Male53Lycnxj/0iC8c38Dfvdryu1eV/91rHGJcvSS5cN2qGK9vWrLfvQ5pW/zu33tIfX/3asjvXqfzH47drnopdrvqpfjz+z+OI8d8X3m/e/7N3eTa3NzcEv3utdz/wtjtqpdiv6ueitdfc2G8+9qfx7bt2xX/d2/j13t5Xx0ah+L/7j35pzL97pX1v3vrf2/Xf7U/9a/+7pXydy/G2vXfPd9rbMrfveL/7rU/9a8//TfnhH9+FGP0d68cf/fGxFLkSLV1XF6zvMeChiytP9684ktJQX/L2xVp3criX/PdczD/fzDk1GTNCam2aLsNzP8u+b7LTjDgELjvopL3k5YGxz4Ci64Hyn+KjLSJhq027K5ZtyFcvxSu2R94swqLUnGtycxm1bpsGtWrw+rMbJ4aM6vEfdx61ACO36ErAHPmzCnvElVMJR1RcMtRAzjrF/vCzR0Jucnum/8KKynBohdl02OPyrqTJFU7oycv+mlHY1Wd2hqCFWX9K4pYVMNYwPC7EMIYYHB5FpXSPvgLdExPpuVcUMbFVaWa5PzRyc5WS6ZCh0HwxRel76v7CNjlYvijIZgqWHrGps9DgJ1/SaWFYGuXJTt5rd9+XiVyzL0fU6/9wlJf/9R5O7PTtl3LsSJVpvD3nZIp/GXwYPb+7Lv3/mR+/giZ4RNgXfkUV4Rj/zGaSw7fiWkLV3Hf+1NYtWRBpdxXksrLgX97v6pLqPVq65pgtwFXAFfEGP+cz/m7gAuA82OM95SyttRYE2zFj8mOQJ/+M1mvpTxd9CV8dPeGHdjWc00xVYUYk9/19dtWN+sKu10OL15ctn73uRHe/3Oy/tIxDyfrLkmpas1SGHUbfPUfyGgIy2Ymx095Pll/7Lnzk00Yykv3XeGUF5KRkOstnAQZ9aFZ5/K7Tw23YMU6hv3+rRJd8+Vv96VJ/QzS01y7pEb66O/w4V9hZel281xQpz2rM3Ppljafa7N+wdC0CRyZnvx/98qss/lfzh4l7rN/h6a8evGuZOfkkp4WCCHw4aSFnHT/J5u0+8WIrXjgw6mlqrs4Wjeuy8KVGxbFn/i7A93BTVK5GjtjCR9NXsQ+/dtx+5sTeP27/P9bfMk+vblkn1q4C3s5cGF8F8aveFlr4aVLYe6XsN2xMOltmFZBKbYhmCpaTlYy+mrtUnjhl8nU3W2OhJG/K9/7nPM+dNiufPuUarJ54+Ce4Ruen/k2dB6a/P/xzsGwZknJ+zxn1IZdTUffCW9cl+x+edyjyY6UtdCk+Sv41wfT2Kp1QxrUrcMNL3xHTm7xXu+1b1qfVy/elRaN6lZwlSpX876D0XcloyRzs+GH18vUXfYFY+n15+83OdY9zGV+bMFq6pe637p10sjMzi26YQXYpVdr/nnKEBrWrcP0RauYsnAVu/ZqTZ10AzBJFSsrJ5fe176a77n/O2Jbdujekr7t3S27JAzBSh6C9QQmAdOAnjFu2Cc+hNAEmAukAW1ijKtKWVtqhWCb++q/8Gwxd55r2inZ+nruV8Xvv/d+cPx/KnTHINVSy+fAfXtt2GmxtIaekbzpmJk3ffeQv0D77eCZs5JRk113Tna9cwcYaVOzPk++tjkCmrTfcDxzNSycCG23BmLyRv7mjsXr86x3oNMQuKE5P61k0HU4/OK18q29mpo4bwWvf/sj67Jz+XbOMt6dUPIpYt1aNWTk5XuQ5sivmmPhJPji3zDtg013XS2JFt1hyTRIrweXfpeMHGveFeo35c63f+DPb04E4LihXejYvAF/eWtiuZVfUc7YZSvem7iASfNXcsIOXbn24P40rufrSUlVa8KPK9j/r6MKPL93v7b867RhlVhRzWYIVkAIFkLIAHoCWTHGyZudWz/a66IY450bHb8duBS4N8Z4bhlqS+0QLHsdfHY/LJqUjBKbOgp67gkH/xnu3iF5QbXezx6AD/9WshBsvUvHQbNO5Va2apmvnoDRd0D7Acl6Re/eAuNfLF1fv54N790Kk96BToPg4Nth1cLkDUiTDjDweKhTD3JzYdkMaN7NAEwqqyXTktEtm0+bL4ltjoIdz01CshT8YOXZL2Zx6ROl+Pu6mSfO3okde7Qqh4pUKdYuh1u7lK2PdtsmQfGkt6HLDtB0y9B54rwVpKcFerZpDEBmdi4fTl7I6Q9+VrZ7V4D+HZoyqGtzfnvI1tTPSK/qciRpC//30jj+9UHB071HX70XHZs3qMSKaq5aFYKFEI4Ajsh72h7YH5gCrJ+btzDGeEVe2+7AVGB6jLH7Zv30BEYDbYHngfHAjsCewERg5xjjojLUmdohWGGevwC+eDT5vuMgOPtd+Ot2sHR66fr77WJI88WMimntsmQq1KLJ8M/dy69fp+lKVSdGyM1JQqybO0FmCXYf3tyO58G+NyX/nZgzNgkC6jYsv1or2OQFK7n8ya/4cubSMvXTvml97jhhEM9+MZvBXZvzsyGdS7zToCpYjPDKlTDh1WTk5Mr58M2Tpe9vxMXJh5if3AtEuHoG1G9W5GWby82NvDV+Hj/MX8nRgzvzwlezufmVZOrkCTt05aQdu7JV60ZMmLeCd8bPZ8XaLB7+qJSvAYtw7NDObNe5OccN60KG0xolVXMxRt4eP58zHyl49O6Y6/ahVeN6lVhVzVTbQrAbgOsLafJT4FVYCJZ3vgtwE3AA0IpkGuRzwI0xxsVlrLP2hmBLpsNbN0DWatjzmmStls8fSNYUK40j7oHtTyzXEpWivnkqWXg7p5x3qdrxXDjwD+Xbp6TSiRFmj4UnTir7tOb1LvoSWm5VPn1VoCkLVrLXn98r1bX79G/HDYdtTafmDZgwbwU9Wjd2MfDq7oVfwthHytZH7/2TEfn1Gm84tnY51GtSbqOVY4x8NDn53Hh4z1b5hqmfT1vMHe9MYtTELafqNqlfh+06N+PDSZt+9nzQgPbccuR21EkPTF24ih5tGrFyXTYPfjiNjPQ0fjGiO80bunadpJrniLs/LPTDrNt+th2HDuzoqNZC1KoQrKao1SFYfsa/lLxhKY42/WHB+E2PXbcA6mz0Qmfx1GRNmd77QoPm5VamapCcrGTnuRZbJS/kc7Lh/0owlafDwPyn6J7wX+h7YDLN97tnICcTtv3Zpm8gJFUPN5R8FEuBdr0CdjwHGrctvz7L0Q0vfMdDo6cVu/0+/dtx8Hbt+XzaEg7Ytj279m5TccWp/KxbASvmQfMu8Lsy/C5ue3Syrt7e10OrnuVXXzlavCqT5g0yyI2ROulpfDt7GcvWZDHy+/lk1EnjlOHd6NDMaUGSUs99o6bw+1fGF9pmaLcWPHXezixZlUmjenX84GozhmDVkCHYZlbMg79snbwgK8xV05NQ69nz4KvHNz137gfJ2k5LpsMd20PMhZY94MIxkOZ/FGqVNUvhnp1h+WzoexDsfBE8eEDxr9//ZtjpfJjx8abXdRoKZ5VqQ1hJVeHN3yZrTq6343mw07nwt4Gl7/PqmVC/adlrK4UYIx9MWsjJ//qUJvXqcOJOXfn1gf35aPIiTrjv4yKv7922MT/MX8n2XZpz/6lDae10iprl22fgqdNLd22PPWHhD8mIxl0uhV57l29tkqRyM2b6Eo6+ZzQAGemBC/fsXeDGI+lpgRYN6/L0ecPp1qpRZZZZrZUlBEu9FWJVPTVpBxd8CtM/TIb3r9dtF9j6cJg/DoactmFU1+F3bxmC/WOXZH2xkTcnARgku/BNfBX6Hbxp2w/+Ap8/CN1GwOF3uaZYKhj3Aox9GLrslLzIXz47OT7hleSruJp1heEXJN93Gw6nvwrPnZdMsdr3xvKvW1LF2fmiZI2jdSth18uSES/ZmVC/OaxdWro+Z49JNnqpAu9OWMDpDyULjq9Yl829703h3vemFHpNRnrg2KFdOG5YF7br3LwSqlS5iBFeuDDZrGXtMtj96mTzleLod0jyuqbrzjD4lBq1pp0kCQZ3bc4/Tx7C+Lkr+NnQznRq3oCJ81bw8jdbLvOQkxtZuHIdj38yg18f1L8Kqk09jgSrII4EK8TG01d67AGnPJ9/uzsGJSFXcRzwh6TtkNOgcTu4rceGcz9/GnrtU9pqVZHWrSzeNMPM1XBzhxJ2HpLQtN028OIl8OWjyRvjI+6BfgeVvFZJNcf00fDFY0nQ3XZr+Oxf0KhVshj+vO/ghzcKvrZ+86Rd/0OgRXcYeEKyePjkkdB5WPKhTgX5zXPf8u+Pi7eA+PibDqBBXT/gqRFysmHlj8m6le0HJBu3vHpl6fo66n7Y7pjyrU+SVOVmLl7N3re/R2Z2boFt0gIcNKADdxw/iLS02r2ZjSPBVLP03Bsm500567Vv+fT52lXJ4+R34MQnNj23ekn53EPlJycbHjksGRnY/zA49pFNF+hdOR8atUmOrVq0aahZlB3OTkaHNN9o6/gj7oZD/5p88l7HRXSllNdt5+RrvU6Dt2zzxm9g9B1bHl8/gmz9guRv37Tp+dNfS8K1crRgxTrWZuUQKd4Hk8O6tzAAqynevx3e+yNkryl9H1fPSELYVj2TEE2SlHK6tGzI19fvx/Y3vcHarPyDsNwIL309l5N27MbwniVYC1mbcCRYBXEkWCGWzoQxDyYhx+BTCx7GXx67IoGfmlZHU9+Hhw/Z8LxlT8jNgt2uhO+e2xCSHvsIPHlK8ftt1AaunFSupUpKUTHCzE+SUWNvl3Aq9GXjk50pO2xf6un2mdm5vPrtXP78xkRmLF5drGt+NqQze/Ztyz5bt6VeHUOwGqEsmzfUbw5nvVNtF7aXJJW/17/7kXP+XXSGMO3Wg4tsk8ocCaaapXkX2Pu3Rbfb7UrIXJV8TXyt9Pf74XVDsOpi/ZvOcZtNgV08OXnceL04KFkAJkklEQJ03Sn5Cmnw1vXFv/b2jdbkSK8HfQ+A/X4HzbsW6/JJ81ewz+2jin27Pxw9gOE9WtO1lWs/1QhZa5JwdemM0l1//VLIXAl1GkC6L9UlqTbZf5v2vHLRrhx0x/uFtut+9ctMufmgWj8tsjT8y6rqq3lX+NkDyfczP4N/lXJdr2/+l7wg3fcmP02tKllrgQif/APeuqFsfbXqlYwg/OB2WONUV0nlYJdLYOqoDaNQSyJnXV6wH+DYh7c8nRv5y5sTuWvkJPq1b0LbpvUZNXFBkd3+8WfbMW7Ocg4d2IEh3VqWvC5VvOxMyMmEjIaw6Idkra/nzk0Wui+uX8+Cx49Llgdo1RtOeS4JaOs1qbCyJUnV29Ydm/LO5btzzr/H8MP8lQzt1oLPp2/5vqfHNa/w6TV707Zp/SqosuZyOmQFcTpkOYsRnjkrCbRKq98h8LMHk50AZ34Cw85M3vioYn18D7x2dfn1d9idyW5YuTlwUz5vDG8owZsPSVovRpj1GTRsBV8+Bu//edPzxZmevduVsNd1sHoxfPUfaNSWB5YO5KZXfihRKd1bNeTdK6tmh0oVYd2KJKCa8wU8fDisK+HfnEP/BmMeSvo5+HbosXuFlClJqvnWZzUhBLJzcul17av5tjtn9x4cul1HHv90Btt1asZxw7oQQmqPEHM6pFJfCHD0/TDikmQL8bpNkpFixd1OHOD7l2Dsw/DtU8nzt66HZTOh63DY+ginHFSU8gzAOg9LFtKHZB2etlvD/HEbzg85vfzuJal2CQG67JB8v+d10GFgsovkwBOh+4jk+A7nwKf3FtzHqNtYSwb1R93806HxWWcDe5SolF17tylZ7ap4McJ/jk+WZ+hzYLLQfUkDMEh2sR5yWnlXJ0lKQRsHWXXS07ju4P787uXxW7S7970p3PveFAAeB6YuXMWvD+q/RTslfNevmqX9tnDco8n3qxbBt0/Dokmw+Y5azbrCsnzW4njlik2ff3Z/8jXjI9j9KmjctkLKrlUyV8HDh8Lsch4Fefqrm+72BrDt0fDORiHY9ieV7z0l1U5pabD14cnXxjoPKzwEg00CMIDbMv7J/3L2KNHtjxjUqUTtVQkWfL9hfdKJ+X8SX6TD7iq/eiRJtc7Jw7sxdeEqHvuk8DUn7x01hZ5tGnPssC6VVFnNYgimmqtRK7jws2RKwbjnkkXV0+vCntfALpfCo0fDpLeK19f6MOzgPyfTJFVyiybDf09M3iiUhyPugdZ9IaNBsutj43xGRmx7NHz2L1gxB7rvCp2Hls+9JSk/2x2TBPyf3PPToeVHPU7TZ04s4sIIBHbo3pLDtu/IghXrGPXDAgZ2bs75e/bk1le/55mxs39q3aJhRsXUr9J5/Vr4qBQB1pH3wsDjkw+HstdBQ9d2kySVXr066VxzUH+e+2I2qzJzCm37q6e/pkWjuuzTv23KT40sKdcEqyCuCVYFcnMhey3Uzds9a+Zn8MyZsGRayfpxTaniy81JdlULAV69epM3hkVq1AYGnZwscL/eRV9CzIXm3Yo/PTUnG9Yt982FpMqVm0tOhJ7XvkoD1jK+/i8KbHpa5q84d2AGO60ZlYT3Qzeduj176RpG3PoOkARgH/16b+pnpFdo+SqmT+/bchR5UTIaQvsB8POnXeBeklTu5i1fy/s/LOSK/31VZNszdtmKS/bpzVvj5zGgU3PaNa1HBJrWr9kfuJVlTTBDsApiCFZNxJjs3PS7EkxzPPKfyW5fqxclYUzrPtBumyTo0QZf/gdeuhRiDvTaFya8XPQ1F38Fk96GLjsmU1tzspJP2Od8ATueAwN+VvF1S1IpxRj5ZvYybn9zIu9O2HSHx6/qnUmzsLr4ne18UbJrcd7fls+mLeaDHxZy0IAO9G1vcFItTH4H/n1k4W0unwhN2sHssTD3S+h/ODRokUyplSSpAk1ZsJL/fDqDZ7+Yw8KV64p9XYuGGXzx2/0qsLKKZwhWDRmCVTNzvoR/lmEHpg4D4ax3fVG7sXt2gXnfFHy+Va9kM4OstbBsFvTZD+o3q7z6JKmcxBhZvjabX/7nC0ZNXJBvmxvqPMRpdd746fl3ud3YJm160Z1vdzzUa5z8nem5NzRzPbBKkb0O1ixNAqyNrV4MX/0XXv91wdeOuCTZRXTAz6Bpx4qsUpKkYsnOyQXg8U9n8Nvnvyuy/bRbD67okiqUu0NKRem4PRzwB5j8Ngw4FlpulXxq++HfYPmsoq+f+xW8fQPschk0aL7puexMqFO3AoqupmKEJ35eeAAGyZSfjoMqpyZJqgC5uZHfvTyeBz6cWmTbG7JP45Pc/nQP83g+Z2f+cvre8J9tir7J1//d8tiAY+HQv22Y3q/ytXgK3L8vrF4IbbdJptNPe7/o6w79Gww+1ZHhkqRqp056MljjlOHd6dKiIac/9FkVV1R9ORKsgjgSrAaZ9gG8e2vxXgC32Ap+OXbDiLBXfpUsqN95KJz8LCyfCy17pO6IsVULYdRt8Mk/Cm7TsDWc+iK027ry6pKkCvDsF7O49Imi19vYWLum9Xjjkt1p1jAjGVX0x61KX8Bvl6Tu35Oq9M7vYdQfS36da4ZKkmqI176dy4tfzeXlb+ZucW5otxY8dd7OVVBV+XEkmFQW3XdJFq99/DiYMrLwtkumJiPHxj0Pb1y34fjMT+DmvCkRbbeGc0ZBes1ebJCJbyRrfi2fBYRkza6vn4Q1iwu/7ooffNMmqUZ79OPpXPfct8Vq+5fjBnLkoM6sy86hTloa6WkbjRJq2BJ+uximvpd8SLLVbjD+xcKn2m3sphbJJiIAXXeCva+H1r1L+NPoJ9nr4PuXSheA7X5V+dcjSVIFOWDbDhywbQeOm7iAUx74dJNzvdvV7rVHDcEkgDr14JDb4Y5iTN9bNmvTAGxz88fBm9dD731gqz1qbiD0yuUbTRWNhY/+Wm/7k2ruzyupVlu6OpPXv/uRq54uYqp3nh26t+TYYV04clBnINm2PF9p6dBzrw3Ph58P258I3/wvGYk87rnCb7Qqbw2y8S/C6iVwejE2IVH+nr8QvnmyZNd0HJxM7d/x3IqpSZKkCrRbnzbcd8pQznrkcwB+uVcvzt29ZxVXVbUMwaT1Grfb8liDlluOfHrwwKL7+vju5Gur3eHnz0B6Nfy/Wozwxb9h/vew/QnJdu4/fpNM3xn7MCydUfI+m7Qv/zolqYLl5kaOuPtDpi0qeHfHri0bMmNxcv6lX+7Ctp3KsNFHg+aww1nJV4wwe0yyC+G65YVfN/2DZLORrNWQVgfqN01GN9WpV/paUlWMydqfGfWTRewnv1PyAOz6pa7/JUmq8fbdul2NXwi/PFXDd+ZSFanbCOo1g3Ubrflx+F3JJ/i/L2W4M/U9ePQo6LEHjH8B+h6U7CpV0oX0l0yH0XcmL+Z3vhgatynZ9Qt/SEKtzkOTHRozV8PNHTac//huOPzv8Pz5Jev3uMeSN2NvXg/Nu8DQX5TsekmqYjFG7nlvcqEB2Be/2ZeMOmm8NW4e/Ts0pW/7cpxGEELy3+YrJ8ETJ8MPrxfe/vf5fGAz6OTk71VtFGMScM0fBwOO2fBhzId/hbduKPr6nc6HZl3gjWsh5m443vdgAzBJklKQC+NXEBfGr6H+Pjx5Ib3exV9Bi+6QkwX/17p87tGkIxx4a7KrZP9Dk2ArPwsnwcuXwrqVMGfshuM7nZ8EaYt+gK7Dk6k2G5v8Dkx9H7Y5AjoMTNb2evyYDec7DkpGuE1+u+w/y6kvwVa7lr0fSapgUxeu4r0J89mmUzOysnPZYauWZOVEvpm9jGPv/ajA6968dLfKXzsjRnhg/2S9yeK6bDw07VhxNVVXMz6BB/bb8HybI2GHs4s3artVb/j5U8nf+ZULkg/DVi2ABROg5541f21PSZJSlAvjS+Vl8xe8LbpvON6wdbKdelmtmANPnrLh+U7nw6Cfw+SRyZSWGKFZ52SdmKmjtrz+478nXxtfv88NybWLJidTagA+/xdc9j28+ZtNr5/zRdl/BoA+B0K3mr2riKTaYcXaLA6+431WZ+YUq/0Dpw2lf4emtGhYl/oZBaz1VZFCSHYcHvtvyFyRrEU55qHCr5mfF4JlroIF30OzriUfNVzd5ebCy5fBl49DzrpkBNeymZu2+e7Z5KswO12Q/N1Mz9gw2mv9v1XdbtCiW7mXLkmSqgdDMGlj258Ec79Kvh9yWtHtW/VORmSVxeahVmmu7zwUmnTY9JPvtcs2nfJYHoZfmIyK2/EcaFW7F1SUVHNMnLei2AHY65fsVr7THUurbiPYKW8x9nUriw7BHj2q4HMNW0GbfnDgH6H9tuVWYqUbdRuMeXDD880DsKKc+2Hyt7JRq/KtS5Ik1RiGYNLGhp0JzbvBuhXQ/5DC27YbACc/A+/eAmuWwK5XQEhLRnrVawYTXoYP/lI5dT9VzmtxjbgkGY0WArx7a7LGyjEPG3xJqvb++Nr3PPjhNAZ0asYv9+7FK9/M5T+fFi8s+cfPh1SPAGxz9RrDYXfBCxeW7vrVi2D6h/CPEcnzlj2Tv1/rRztXF6sXQ4MWG0ZnxZiEXi9dWva+r56RrIkpSZJqNUMwaWNp6dD3gOK17b0PNG4Lh2wWdLXbOnlct3zTEGyXSysvFCuLVr1g3xs3PB92ZtXVIkklsGx1Fn9/dzIAn05bzMn/+rTY12akB/boW42nD25/EtSpn6xbOfhkyFoDDxxQ9I6S+Vk8Gf42EK6cDI02W+8yRpj7ZbKBSpcd89/dODdny/UoiyN7HXzzVDJlc8DP4NVfJeue7XwRzPkSvnw0aXf1DHj7Jvjs/pLfY3Nnv5ushSlJkoQhmFR8qxeVrH2PPZNP7n/8GgaeAJ0Gw57Xwf9V0TSM3a6ED/4KuVkbjqXVgaadoN8hyTTQ+k2TEV+SVAOtySrelMf83HPSkKpZ/6u40tJgu2M2PfbrmVvu9lsSt+WN7q3bJJnmnrkKPrlnw/mWPeH8j+Hr/8LyuUlwddfQZBfFwafAYXcW3HfWWlg6HVr3SUZ2LZkOr1y5YffLj+5Mdi0GeOWKTa+9tWvpfh6A3a+GhRNg1hjY5RIDMEmStAlDMKm42g9IAq3iSktLPq3fWHod+PVsmPY+dN4BpoyEp88ouI++ByUL5tdtBPv/Hp49p/B7NmoLq+YX0NeBybTN9Z+sDzoZDr+r+D+PJFVzuSXc8bpJ/To8cNowhnZrQVg/Ba+mqdsQfjkWJr4GvfZJpj2WdPpg5gp4/09bHl88GX630ei4d2/e8P3YR5KvXS6DXS+H8S/kTaNPT0aJ/ef45G9OQdYHYKW1zw3w1g3J9x0Gwi9eh4wGZetTkiSlPEMwqbi2PxFe2ygEa9S2dP3Ua5wEUrDldJL9fgdT3kveHOz562Sr940tmAAf3L5ZhyHZpbH3fjDiYrilM2Su3LTJBZ9Cm77JemcNWiTTXXYsIlCTpBokxsguf3in0DZ/O357DhvYkfd/WMiMxas5dLuONGuYUeg1NUKrnjD8guT7xm3hy/8k0yYHHAOdhiSbp4x7HsY8nHxQkptdfvf+4PZ8/i5VgB3OTn62YWdC/ebJsc7Dkr+L2xxpACZJkorFEEwqrrBZYLXdsWXvs8ce0LA1rF6YrL0y/ELY+ZcFt9/n+mRdmLXLkiklrfskL/43DtNGXAwjf7/h+VH3JQEYJGu/7HVd2euWpCr21cylfD17GVnZueTGyMdTFpObz0CwU4Z3Y+eerdmnf1vqpKcBsFufarz2V1k1aAFnvpl82LHx6La2/WGPq5PvnzsfvnysauorjQNvgx3P3vJ4912SL0mSpGIyBJOKq/e+8FYjyFoFfQ7ccjHh0mjQAi79Nvkku/12m75hKUjrXslj5yH5n+80eNPnfQ8qW42SVM18MWMJR/59dJHtdujekpsO37YSKqqGCvt7csTfYZ8b4eXLYP54WPRD5dVVlMPuSnYk7jAQ0utC9trkuSRJUjkwBJOKq+VWcPl4WDwFOmxffv1mNICO5dhfjz2TEWUzP4GhZyTTLyUpBUxesJKvZi7lm9nLimy7W582/Gr/vpVQVQ3VuA0c9+/k+5wsmPJuskHKkqnQbUSyrlj22rLfZ9crNl1vrFkXaNEdeu6VTG2s1yTZJfLbp6FNv2TpgdLsPClJklQMIZZwEVkVTwhhzODBgwePGTOmqkuRJKnGu/zJr3h67Kxitf3fucMZ1r1lBVeU4lYvTkKxfx+R7CS8y2XJbotrlsL00dCwZbKb5JMbbQCz9RHJ6K1hZyajpus2SdYjy8mEtcuT4E2SJKmMhgwZwtixY8fGGAuYHlUwR4JJkqRqZ+K8Fdz04jhyY6RHm0bFDsDO2b2HAVh5aNgSeu4JNyxLRoql520gULcRbHfMhnaXfQ8r5yXTFwuaglmnngGYJEmqFgzBJElStfPH1ybwwaSFAIyevKjAdpfv24cjB3eiU/MGhOKsq6iSSy9kB82mHZIvSZKkGsAQTJIkVRtTF66iRcMM3ho/r8i2p+3cnXP36ElG3q6PkiRJUmEMwSRJUrVwyyvjuXfUlELb3H7sQI4c1AnAkV+SJEkqEUMwSZJUpVauy2a/299jzrKidyM8bGBHwy9JkiSViiGYJEmqMh9NXsQJ931crLYjerWijlMfJUmSVEqGYJIkqdLNXbaG/30+i9vfnFhgm6fOHc7Q7i2ZuXg1E35cwa59WldihZIkSUo1hmCSJKlSZefkMvyWdwo8Xz8jjZd+uQu92jYBoEvLhnRp2bCyypMkSVKKMgSTJEmVJsbIYXd9WOD5tADf/9+BlViRJEmSagtDMEmSVOFijCxfm83pD37KuLnLC2x3xi5bVWJVkiRJqk0MwSRJUoWJMfLQ6Gnc+OK4ItvedPg2HDW4cyVUJUmSpNqoRoZgIYTOwE3AAUArYC7wHHBjjHFJCfo5GLgY2HqjfsYAt8cYPyrnsiVJqnU+mLSwwACsVaO6PHDaMOYsXcNe/dtSr056JVcnSZKk2qTGhWAhhJ7AaKAt8DzwPbADSZh1QAhhRIxxUTH6+QPwK2ARSYC2EOgFHA4cHUI4Jcb4aIX8EJIkpbCc3MjI7+fz+nc/8r8xswps99fjt2dgl+YM7NK88oqTJElSrVXjQjDg7yQB2EUxxjvXHwwh3A5cCvweOLewDkII7YErgHnAdjHG+Rud2xN4h2SkmSGYJEnFtDYrh9e/+5FRExfy9NiCwy+AEKBnm8aVVJkkSZJUw0KwEEIPYD9gGnD3ZqevB84GTg4hXB5jXFVIV92ANOCTjQMwgBjjyBDCCqBNuRUuSVItcM0z3/DMF7MLPP/ChSN4c9w8lq3JYp/+7ejYvEElVidJkqTarlxDsBDCiTHGx4toUwe4LcZ4aSlusVfe4xsxxtyNT8QYV4QQPiQJyXYC3i6knx+ATGCHEELrGOPCjerbDWhCMkVSkiQV4utZS5m1ZA179WtbaAD2xW/2pUWjumzXuXnlFSdJkiRtpLxHgj0aQtgL+GWMcc3mJ/NGcv0XGEIydbGk+uY9Tizg/A8kIVgfCgnBYoyLQwhXAbcD40IIz5GsDdYTOAx4EzinOAWFEMYUcKpfca6XJKmmem/iAk594NMi211/6Na0aFS3EiqSJEmSClbeIdgo4BfAjiGE42KMP20HFUI4Fvgn0BT4Syn7b5b3uKyA8+uPNy+qoxjjX0MI04AHgLM2OjUJeGjzaZKSJGmDleuyGfl94X8qh3RrwdPn7VxJFUmSJEmFK+8QbE/gBuBa4LMQwkUki8vfCZwBLAYOjTG+XM73XS/kPcYiG4bwK+Bm4A7gLuBHktFbtwCPhRC2jzH+qqh+YoxDCuh/DDC4mHVLklQjZOfkcuJ9n/DptMUFtnn/V3tSt04a7ZrWr8TKJEmSpMKVawgWY4zA9SGEd0nCr3+ShEqtgPeBE2OMc8pwi/UjvZoVcL7pZu3yFULYA/gD8GyM8bKNTo0NIRxJMt3y8hDCP2KMU0pfriRJNV9ubuT1737k3QkLeOLzmYW2vWSf3nRp2bCSKpMkSZKKL60iOo0xjiQZYRWA1sBC4KQyBmAAE/Ie+xRwvnfeY0Frhq13SN7jyM1PxBhXA5+S/NsMKmmBkiSlmpET5nPeY2OLDMDO2a0HF+3Vu9A2kiRJUlUp7+mQhBAaA/cCxwNzSNYJOx74PIRwaozxjTJ0vz602i+EkLbxDpEhhCbACGAN8HER/dTLe2xTwPn1xzNLW6gkSTXd+LnL+fMbE3hrfNHLZI6/6QAa1E2vhKokSZKk0inXkWAhhEHAWOAE4HVg+xjjicCJQCPglRDCH0MIpXqVHGOcDLwBdAcu2Oz0jXn3eCTGuCqvnowQQr8QQs/N2r6f93h2CKHTZj/DgSRh2lpgdGnqlCSpplublcOBf3u/WAHYoQM7GoBJkiSp2ivvkWAfkQRrV8UYb1t/MMb43xDCZ8ATwBXAbsBOpbzH+STh1B0hhL2B8cCOJIvyTyRZlH+9Tnnnp5MEZ+s9BbwF7AOMDyE8S7Iwfn+SqZIBuDrGuKiUNUqSVCNNWbCSG18cx3sTFxTYpk+7xkyct/Kn53v1K2hgtSRJklR9lHcINhc4Lsb46eYnYoyTQwjDgduAX5b2Bnn9DAVuAg4ADsq77x3AjTHGgrer2tBHbgjhIJLRZMcDRwINSXavfAW4o4zTNiVJqnG+nb2MQ+78oMh2tx+7Pe2a1ueZsbPo0LwBB23bvhKqkyRJksqmvEOwQTHGpQWdjDFmAZeEEN4qy01ijDOB04vRbhrJqK6Cavlr3pckSbVajJEnPit44fsTd+zKwM7N2LpDM7btlGzSfM7um682IEmSJFVf5RqCFRaAbdbupfK8ryRJKr112TnsePPbLF2dle/5abceXMkVSZIkSeWvXBfGlyRJNc9r3/6YbwAWAvz5mIFVUJEkSZJU/sp1JFgIYUoxm8YYo3MoJEmqIstWZ3HeY2MYPTn/PWDeu3IP2jWtT/0Md32UJElSaijvNcHSgJjP8WZA87zv5wD5z7eQJEkVLsbIFU99VWAA9ttDtqZbq0aVXJUkSZJUscp7TbDuBZ0LIfQi2cGxEbB/ed5XkiQVz/RFq9j9tncLPH/hnr04cceulVeQJEmSVEnKeyRYgWKMk0IIRwHfAtcDv66se0uSVJvNWbqGa579hm9mLWPRqsx82/Ro3YhXLt7V6Y+SJElKWZUWggHEGNeGEN4ETsAQTJKkSnHB42P5YsbSAs8/eNow9ujbhhBC5RUlSZIkVbJKDcHyZAPtq+C+kiTVCjFGvpy5lLtHTuKt8fMLbPebQ7Zm3/7t6NqqYSVWJ0mSJFWNSg3BQgitgSOBmZV5X0mSapN7R03h1le/L7RN15YN+cWI7o7+kiRJUq1RriFYCOG3hdynC3A4yU6RToWUJKkCrMvOKTQA26d/W4Z2b8k5u/UwAJMkSVKtUt4jwW4o4vxy4Hcxxj+W830lSarV1mblcOHjYwud/jj55oNITzP4kiRJUu1U3iHYngUczwWWAN/HGLPL+Z6SJNV6N700rtAA7E/HDDQAkyRJUq1WriFYjPG98uxPkiQV7d8fTePxT2YUeH7qLQc59VGSJEm1XlXsDilJkspBbm7kllfHc9/7U/M9f8h2Hbjj+EEGYJIkSRJlDMFCCF1Le22MseCPrCVJUpGuevpr/jdmVr7nBnVtzt+OH0SaUyAlSZIkoOwjwaYBsRTXxXK4tyRJtc70Ras44Z8fM2fZ2nzP337sQLbr3IxebZtUcmWSJElS9VbWIOoRSheCSZKkElidmc24Ocv52T8+KrDNn44ZyFGDO1diVZIkSVLNUaYQLMZ4WjnVIUmSCvDS13O48PEvCm1zzUH9OHpwp0qqSJIkSap50qq6AEmSVLCpC1cVGYClBTh8+04ugC9JkiQVoszrcoUQTgG+jDF+XQ71SJKkPDFGjr234OmPzRpksN/W7Th4uw60a1q/EiuTJEmSap7yWJz+IeAG4KcQLIRwKnBqjHGvcuhfkqRaJTc38sCHU/ndy+PzPd+lZQNGXbmnI78kSZKkEqioHRq7A7tXUN+SJKWsURMXcPMr4/n+xxUFtrlwz14GYJIkSVIJVVQIJkmSSmjivBWc8sCn+Z7bpVdrDtu+I60a1WWPvm0ruTJJkiSp5jMEkySpGogxst9fRuV77vpDt+b0EVtVckWSJElSanF3SEmSqoE/vTGhwHOO/JIkSZLKrrxGgsVy6keSpFrj61lL+fdH01mwch3vTliwybkDtmnP7n3bcMA27WnRqG4VVShJkiSljvIKwW4IIdyw+cEQQk4B7WOM0amYkqRaa9L8FRx214f5nvv7SYM5aECHSq5IkiRJSm3lFUSVdIsqt7SSJNVakxesZJ/b81//CzAAkyRJkipAmUOwGKPrikmSVAKn/Cv/HSABjhnSuRIrkSRJkmoPpyRKklQJJvy4gsv/9yXfzl5eYJvL9+3DSTt1q8SqJEmSpNrDEEySpEpw18hJBQZgVx/Yj3N260EIrhYgSZIkVRRDMEmSKkhObuT+96cwYd4KXvxqTr5tJt98EOlphl+SJElSRTMEkySpgvzqqa95euysAs+P/c2+BmCSJElSJXFRe0mSKsC1z35TaAA2sEtzWjaqW4kVSZIkSbWbI8EkSSpHMUZOffAzRk1csMW5pvXrsHxtNoO6NufGw7apguokSZKk2ssQTJKkcrA6M5u3xs9n5PfztwjAMtIDE393oAvfS5IkSVXIEEySpHJw9D0fMX5u/rs/fnPD/gZgkiRJUhUzBJMkqQxycyMDbnidVZk5+Z5/+/LdqZ+RXslVSZIkSdqcC+NLklRKUxeu4vj7Pi4wADtmSGd6tmlcyVVJkiRJyo8jwSRJKoX735/C714eX+D500d057zde1ZiRZIkSZIKYwgmSVIp5BeAXXVAP/bq15a+7ZtUQUWSJEmSCmMIJklSCeTkRnpe88oWx0OA8/Zw5JckSZJUXRmCSZJUAvkFYI/8Ygd27d26CqqRJEmSVFw1cmH8EELnEMIDIYQ5IYR1IYRpIYS/hhBalKKvXUMIT4cQ5ub1NTeE8EYI4aCKqF2SVLPEGHlr3Dz+/MYERk9auMX53x2xLbv1aUMIoQqqkyRJklRcNW4kWAihJzAaaAs8D3wP7ABcDBwQQhgRY1xUzL6uA/4PWAi8BMwFWgODgD2ALT/ulyTVKl/OXMqZj3wOwJ3vTNrk3FuX7U6vtu7+KEmSJNUENS4EA/5OEoBdFGO8c/3BEMLtwKXA74Fzi+okhHAMSQD2FnBUjHHFZuczyrNoSVLN9O3sZfke79S8gQGYJEmSVIPUqBAshNAD2A+YBty92enrgbOBk0MIl8cYVxXSTxrwB2A1cOLmARhAjDGrvOqWJNUsi1au4+3v5/PPUVOYNH9lVZcjSZIkqRzUqBAM2Cvv8Y0YY+7GJ2KMK0IIH5KEZDsBbxfSz87AVsBTwJIQwsHAtsBa4NMY40flXrkkqUbIzsllj9veZcW67ELbzV66ppIqkiRJklQealoI1jfvcWIB538gCcH6UHgINizvcR4wFhiw8ckQwijgZzHGBUUVFEIYU8CpfkVdK0mqXrJycjnxvo+LDMAArj2ofyVUJEmSJKm81LTdIZvlPea/QMuG482L6Kdt3uO5QANgH6AJyWiw14HdgP+VukpJUo305Ocz+Wzaki2O796nDU3qb/q50cnDu1VWWZIkSZLKQU0bCVaU9fvTxyLapW/U/mcxxq/ynn8XQjiSZKTZ7iGE4UVNjYwxDsm3kGSE2ODilS1JqmpTFqzk2me/3eL4p9fuTdsm9VmblcPDo6cxY/FqTt25O/Uz0vPpRZIkSVJ1VdNCsPUjvZoVcL7pZu0Ksv5j/ikbBWAAxBjXhBBeB84AdgBcH0ySUlSMkQ8nLSItwIn3f7LF+TtPGETbJvUBqJ+Rzjm796zsEiVJkiSVk5oWgk3Ie+xTwPneeY8FrRm2eT9LCzi/PiRrULyyJEk1TW5upMc1rxR4fkCnZuzdv22B5yVJkiTVLDUtBBuZ97hfCCFt4x0iQwhNgBHAGuDjIvoZBWQDvUMIdWOMmZud3zbvcVrZS5YkVSdZObmsycrhvQkF731y0V69uGy/vgWelyRJklTz1KgQLMY4OYTwBskOkBcAd250+kagEXBvjHEVQAghA+gJZMUYJ2/Uz8IQwhPAScBvgevWnwsh7AvsTzKl8rWK/YkkSZUhxsjKddnMW76WfW4fVWT7owZ3roSqJEmSJFWmGhWC5TkfGA3cEULYGxgP7AjsSTIN8tqN2nbKOz8d6L5ZP5flXXdtCGE34FOgG3AkkAOcFWNcWmE/hSSpUqzOzOboez5i/NzlRba95agBHDOkM3XSa9rmyZIkSZKKUuNCsLzRYEOBm4ADgIOAucAdwI0xxsXF7Gd+CGFHklFgRwI7ASuAl4FbYoxFTamUJNUA701YUGQA1qFZfZ49fwTtm9WvpKokSZIkVbYaF4IBxBhnAqcXo900IBRyfjHJiLDLyq04SVK1MWn+CsZMX1JomzppgXcu34MGddMrqSpJkiRJVaFGhmCSJBXl8U9mcM2z3xR4Pj0tMPLyPejaqmElViVJkiSpqhiCSZJSzlvj5hUagAF8dPVetG3q9EdJkiSptjAEkySljBgj946awq2vfp/v+Xp10sjMyeXMXbYyAJMkSZJqGUMwSVLKuPx/X/HM2Nn5nrv92IEcOrAjy9Zk0bpxvUquTJIkSVJVMwSTJKWEj6csKjAAe/XiXenfoSmAAZgkSZJUSxmCSZJqtIUr13H3yEk8+OG0Lc7detQADhzQgWYNMiq/MEmSJEnViiGYJKnG+mbWMg6964N8zz1w2lD26teukiuSJEmSVF0ZgkmSaqQJP64oMAD737nDGda9ZSVXJEmSJKk6MwSTJNU4z34xi0uf+GqL43v3a8s/Th5CRnpaFVQlSZIkqTozBJMk1Tj5BWBTbzmIEEIVVCNJkiSpJjAEkyTVCDFG1mXncs6/x2xx7qQduxqASZIkSSqUIZgkqdr7auZSDr/7w3zPnbXrVlxzUP9KrkiSJElSTWMIJkmq9goKwG48bBtO3bl75RYjSZIkqUZy5WBJUrWVlZPLeY9uOf0RYHiPVgZgkiRJkorNEEySVG19OGkhr377Y77njhzcqZKrkSRJklSTOR1SklQt3fTiOB74cGq+5/bs24YDt21fyRVJkiRJqskMwSRJ1c53c5blG4C99Mtd2LZTsyqoSJIkSVJNZwgmSaoW1mXn8OTns/jNc9/me/7Pxww0AJMkSZJUaoZgkqQq9/LXc7ng8bEFnm/duB6HDOxQiRVJkiRJSjUujC9JqnKFBWAhwOuX7Eq9OumVWJEkSZKkVONIMElSlVmdmc3Ot75T4PmL9urFycO706pxvUqsSpIkSVIqMgSTJFWJFWuz2Pf2USxdnZXv+Tcu3Y0+7ZpUclWSJEmSUpUhmCSp0j368XSuK2ABfIDnLxhhACZJkiSpXBmCSZIqxcKV65g4bwVtGtfLNwCrWyeNGw7dhkFdm9O/Q9MqqFCSJElSKjMEkyRVuP99PpMrn/q6wPOn7dydXx/Uz8XvJUmSJFUYQzBJUoV69otZhQZg0249uBKrkSRJklRbpVV1AZKk1DV76RoufeKrAs//bEjnSqxGkiRJUm3mSDBJUrn6dOpibn5lPF/OXFpou1OHd+OGw7apnKIkSZIk1XqGYJKkcvPEZzO46ulvCm3z6TV707Zp/UqqSJIkSZIShmCSpHKxNiun0ADsqgP6cdywLrRsVLcSq5IkSZKkhCGYJKnUcnMjmTm5fDR5Eac/9FmB7QZ2ac55e/SsxMokSZIkaVOGYJKkUpm1ZDUn/+tTpi5cle/56w7uz5vj5tG6ST2uP2TrSq5OkiRJkjZlCCZJKrHv5izj4Ds+KPD8o2fsyC69W3Pmrj0qsSpJkiRJKlhaVRcgSapZXvt2bqEB2IV79mJEr1aVWJEkSZIkFc2RYJKkQv0wbwVXP/MNY2csIcbC2562c3eu2L9v5RQmSZIkSSVgCCZJ2kJObiQtwL2jpnDrq98X+7rrD3XtL0mSJEnVkyGYJGkTN774HQ9+OK3Idi0b1eWO4wfx8399AsA5u/UghFDB1UmSJElS6RiCSZIAiDEybu7yYgVgNx85gBN37ArANzfsx9LVWXRp2bCCK5QkSZKk0jMEkyTxwldzuP75b1myOqvQdmfushVXHtCXenXSfzrWpH4GTepnVHSJkiRJklQmhmCSVMtlZudy0X++KLLdlfv35fw9ejrlUZIkSVKNZAgmSbXUh5MWctL9nxR4/vQR3Zm1ZA39OzTlkr17k5Zm+CVJkiSp5jIEk6RaZt7ytZz36BjGzlhaYJubDt+GU4Z3r7SaJEmSJKmiGYJJUi0QY2TBynXc//5U/jlqSoHtHvnFDuzWp00lViZJkiRJlaNGhmAhhM7ATcABQCtgLvAccGOMcUkp+zwZeCTv6VkxxvvLoVRJqlLTFq7iodHTeGj0tELb9W3XhGfO35lG9WrknwVJkiRJKlKNe7cTQugJjAbaAs8D3wM7ABcDB4QQRsQYF5Wwzy7AncBKoHH5VixJlWv+irU8NWYW701YwCdTFxfZ/rSdu3PO7j0MwCRJkiSltJr4jufvJAHYRTHGO9cfDCHcDlwK/B44t7idhWSbsweBRcAzwBXlWq0kVaLHPpnOtc9+W6y2T507nCHdWrjboyRJkqRaoUaFYCGEHsB+wDTg7s1OXw+cDZwcQrg8xriqmN1eBOwF7JH3KEk1QoyRT6cu5sxHPmfF2uwSXXvmLlsxtHvLCqpMkiRJkqqfGhWCsSGkeiPGmLvxiRjjihDChyQh2U7A20V1FkLoD9wK/C3GOCqEYAgmqdp7d8J8TnvwM+qmp5GZk1v0BcApw7tx0+HbsnhVJotXraNX2yYVXKUkSZIkVS81LQTrm/c4sYDzP5CEYH0oIgQLIdQB/g3MAK4pbUEhhDEFnOpX2j4laXPrsnP45eNfMGb6EhatygQoMgAbffVedGzegJzcSHpaMuWxZaO6tGxUt8LrlSRJkqTqpqaFYM3yHpcVcH798ebF6Ou3wCBglxjjmjLWJUkVZu6yNVz77Le88/38YrWvm57GZ9fuQ7OGGQA/BWCSJEmSVJvVtBCsKOvf6cVCG4WwA8norz/HGD8qyw1jjEMKuMcYYHBZ+pakJasy2eO2d1mXXfior/tPGUrbpvVYnZnDjlu1dLF7SZIkSdpMTQvB1o/0albA+aabtdvCRtMgJwK/Kb/SJKn0lq7O5PY3J/LEZzNZl51Lv/ZNuPrAfkyct6LQAOymw7fh5zt2I83RXpIkSZJUqJoWgk3Ie+xTwPneeY8FrRkG0Hij69cWMFrivhDCfSQL5l9S0iIlqbhmLl7NGQ9/xsR5Kzc5/v2PKzjtwc8KvO7CPXtxxf59CzwvSZIkSdpUTQvBRuY97hdCSNt4h8gQQhNgBLAG+LiQPtYB/yrg3GCSdcI+IAncyjRVUpI2N3vpGu4eOYmuLRuyfZfm/N9L47YIwAoyvEcrjhvWhTZN6rFzz1YVXKkkSZIkpZYaFYLFGCeHEN4g2QHyAuDOjU7fCDQC7o0xrgIIIWQAPYGsGOPkvD7WAGfm138I4QaSEOzhGOP9FfVzSKo91mXnkJmdywWPf8G8ZWuZMG9Fqfv69xk7UCc9rRyrkyRJkqTao0aFYHnOB0YDd4QQ9gbGAzsCe5JMg7x2o7ad8s5PB7pXbpmSart3J8wvdEpjfnbv04Zde7fmdy+P3+T4Y2fuaAAmSZIkSWVQ40KwvNFgQ4GbgAOAg4C5wB3AjTHGxVVZn6TaZW1WDr9/eTzj5y7nzF23YlDXFrRoWJern/maZ8bOLlFfX9+wH03rZ5CZnbtFCNalRcPyLFuSJEmSap0aF4IBxBhnAqcXo900oNhbpsUYbwBuKG1dkmqfv4+cxL8/ng7A59OXFPu6n+/UlUc/nrHJsab1MwCoWyeN03buzkOjpwHQqlFdurYyBJMkSZKksqiRIZgkVaUFK9ZRt04a//pgKne8M6nY1522c3cO2a4D23VuTt06aeTkRv7z6UwA/nfu8E3a/vqgfgzq2pzM7FwO2a5judYvSZIkSbWRIZgkFWHGotWsy86hU4sGnPbAZ3w6rfizrru3asjLF+1Kbow0yRvptd7NRw7gpB270bZpPdo2qb/JuXp10jl8+07lUr8kSZIkyRBMkgr16MfTue65b0t0TZN6daiXkcZOPVpx6b59aFQv///UhhDYtlOz8ihTkiRJklQEQzBJKsCoiQuKHYA9ec5wMtIDXVs2pFXjehVcmSRJkiSppAzBJNV6y9ZksXDlOrq0aMjClet4+eu5/DB/BU9+PqvIa/u1b8J/z96J5g3rVkKlkiRJkqTSMgSTVKu89PUcbnxxHAtWrCt1H51bNGDX3m1o1agu5+7Rk8YFTHeUJEmSJFUfvnOTVCssW53FM1/M4sYXx5Xq+gO3bc+w7i1JTwscPaSzwZckSZIk1TC+i5OU8uYtX8uON79d6uvP26Mnv9q/LyGEcqxKkiRJklSZDMEkpZzsnFz+/u5knhk7i2mLVhfaNj0tcPHevZm6cBXPfjGbJvXr8OQ5w8nJjWTl5LJ9l+aGX5IkSZKUAgzBJKWErJxcfv3MNzw1pujF7Ne76fBtOGV495+e33r0AOqmpxl6SZIkSVIKMgSTVON9NXMph9/9YbHbt2xUl3tPHsKw7i03OV6vTnp5lyZJkiRJqiYMwSTVGDm5kX+OmsKDH06lXdP6NG1Qhw8nLSr29U+cvRPbdmpGnfRg4CVJkiRJtYwhmKRqLTM7l5ET5gNw04vjmL10DQDzV6wrUT/1M9Lo174pjdzVUZIkSZJqJd8NSqrWDvjbKKYsWFXs9p9duw+N6qXz+CczCCHQv0MTvpixlD37tqVZw4wKrFSSJEmSVJ0ZgkmqVpatyeK1b+fy74+n8+3s5SW69q3LdqdNk3oAnLlrj5+O79yzdbnWKEmSJEmqeQzBJFUby1ZnMfCmN4rdvlurhvz37J2YsWg1fdo1oUWjuhVYnSRJkiSpJjMEk1QtrFqXXewA7KhBnThl5+5s36U5AB2aNajAyiRJkiRJqcAQTFK1175pfQ4f1JEhXVuwd/92pKeFqi5JkiRJklTDGIJJqpZOGd6NwV1bcOCA9tSrk17V5UiSJEmSajhDMEnVQsO66Uy95SAAQnCklyRJkiSpfBmCSaoWDL4kSZIkSRUpraoLkCRJkiRJkiqaIZgkSZIkSZJSniGYJEmSJEmSUp4hmCRJkiRJklKeIZgkSZIkSZJSniGYJEmSJEmSUp4hmCRJkiRJklKeIZgkSZIkSZJSniGYJEmSJEmSUp4hmCRJkiRJklKeIZgkSZIkSZJSniGYJEmSJEmSUp4hmCRJkiRJklKeIZgkSZIkSZJSniGYJEmSJEmSUp4hmCRJkiRJklKeIZgkSZIkSZJSniGYJEmSJEmSUp4hmCRJkiRJklKeIZgkSZIkSZJSniGYJEmSJEmSUp4hmCRJkiRJklJejQzBQgidQwgPhBDmhBDWhRCmhRD+GkJoUczrW4UQzgwhPBtCmBRCWBNCWBZC+CCEcEYIoUb+u0iSJEmSJCl/daq6gJIKIfQERgNtgeeB74EdgIuBA0III2KMi4ro5hjgHmAuMBKYAbQDjgLuBw4MIRwTY4wV81NIkiRJkiSpMtW4EAz4O0kAdlGM8c71B0MItwOXAr8Hzi2ij4nAYcDLMcbcjfq4BvgUOJokEHu6fEuXJEmSJElSVahR0/5CCD2A/YBpwN2bnb4eWAWcHEJoVFg/McZ3YowvbhyA5R3/EfhH3tM9yqNmSZIkSZIkVb0aFYIBe+U9vpFPgLUC+BBoCOxUhntk5T1ml6EPSZIkSZIkVSM1bTpk37zHiQWc/4FkpFgf4O2Sdh5CqAOckvf0tWJeM6aAU/1Ken9JkiRJkiRVjJo2EqxZ3uOyAs6vP968lP3fCmwLvBJjfL2UfUiSJEmSJKmaqWkjwYoS8h5LvKtjCOEi4HKS3SZPLu51McYhBfQ3Bhhc0jokSZIkSZJU/mraSLD1I72aFXC+6WbtiiWEcAHwN2AcsGeMcXHpypMkSZIkSVJ1VNNCsAl5j30KON8777GgNcO2EEK4BLgL+JYkAPux1NVJkiRJkiSpWqppIdjIvMf9Qgib1B5CaAKMANYAHxensxDCVcBfgC9JArD55VeqJEmSJEmSqosaFYLFGCcDbwDdgQs2O30j0Ah4JMa4CiCEkBFC6BdC6Ll5XyGE35AshD8G2DvGuLAia5ckSZIkSVLVqYkL458PjAbuCCHsDYwHdgT2JJkGee1GbTvlnZ9OEpwBEEI4FbgJyAHeBy4KIbCZaTHGhyrkJ5AkSZIkSVKlqnEhWIxxcghhKEmIdQBwEDAXuAO4sZiL2m+V95gOXFJAm/eAh8pUrCRJkiRJkqqFGheCAcQYZwKnF6PdNGCLIV4xxhuAG8q7LkmSJEmSJFVPNWpNMEmSJEmSJKk0DMEkSZIkSZKU8gzBJEmSJEmSlPIMwSRJkiRJkpTyDMEkSZIkSZKU8gzBJEmSJEmSlPIMwSRJkiRJkpTyDMEkSZIkSZKU8gzBJEn6//buPViSqj7g+PfHmywskNVVAfHycEGjqICKoAQQVlBULDUPjVCIAQ0FGFQMWoiIgUiiRspHfEQRTUVFAyY+EAISLJGHoCC4IsIuCEJAkMeuC+jyyx/n3DCMM8Oduzt97/T9fqpONfec06fP7v7oO/2b7tOSJEmSWs8kmCRJkiRJklrPJJgkSZIkSZJazySYJEmSJEmSWs8kmCRJkiRJklrPJJgkSZIkSZJazySYJEmSJEmSWs8kmCRJkiRJklrPJJgkSZIkSZJazySYJEmSJEmSWs8kmCRJkiRJklrPJJgkSZIkSZJazySYJEmSJEmSWs8kmCRJkiRJklrPJJgkSZIkSZJazySYJEmSJEmSWs8kmCRJkiRJklrPJJgkSZIkSZJazySYJEmSJEmSWs8kmCRJkiRJklrPJJgkSZIkSZJazySYJEmSJEmSWs8kmCRJkiRJklrPJJgkSZIkSZJazySYJEmSJEmSWs8kmCRJkiRJklrPJJgkSZIkSZJazySYJEmSJEmSWs8kmCRJkiRJklrPJJgkSZIkSZJazySYJEmSJEmSWs8kmCRJkiRJklrPJJgkSZIkSZJazySYJEmSJEmSWs8kmCRJkiRJklpvLJNgEbFlRHw2In4VEQ9GxLKI+OeI2GwmxpEkSZIkSdLsts5MT2BYEbEtcDGwEPg68DPgecDRwH4RsXtm3tXUOJIkSZIkSZr9xvFOsI9TEldHZeaBmfl3mbk38GFge+DvGx5HkiRJkiRJs9xYJcEiYhtgMbAM+FhX8wnACuANETGviXEkSZIkSZI0HsYqCQbsXbfnZubDnQ2ZeT/wfeCPgF0bGkeSJEmSJEljYNzWBNu+bn/ep/16yh1ei4DzGxiHiLiiT9OzlixZws477zxod0mSJEmSJE3RkiVLACams++4JcE2qdt7+7RP1m/a0DiDrFq5cuW9V1555bLVGEPD2aFufzajs9BcYsypScabmmS8qUnGm5pmzKlJxtuaNwHcN50dxy0J9liibrOpcTLTW71micm78vw3UVOMOTXJeFOTjDc1yXhT04w5Ncl4m13GbU2wyTu0NunTPr+r36jHkSRJkiRJ0hgYtyTYdXW7qE/7U+u231pfa3ocSZIkSZIkjYFxS4J9t24XR8Sj5h4RGwO7AyuBSxoaR5IkSZIkSWNgrJJgmXkDcC5lEbQjuppPBOYBZ2TmCoCIWDcidoiIbVdnHEmSJEmSJI23cVwY/2+Ai4HTIuLFwBLg+cBelMcX393Rd4vafhN/+PrMYcaRJEmSJEnSGIvM1X2RYvMi4snA+4D9gAXAbcDZwImZeXdHvwlgKXBTZk5MdxxJkiRJkiSNt7FMgkmSJEmSJEnDGKs1wSRJkiRJkqTpMAkmSZIkSZKk1jMJJkmSJEmSpNYzCSZJkiRJkqTWMwkmSZIkSZKk1jMJJkmSJEmSpNYzCaYZEREvi4hzI+KWiFgZETdGxJkR8YKufhMRkQPKl3qMvXtEnBoRl0fEnRHxYEQsjYjPRMR2A+a0YUScGBHXRcQDEXFHRHwlIp42ir8DNWeU8dbjWOtHxDW1/y0D+hlvLdZEzEXERhFxfERcFRHLI+L+iLg2Ij4VEev26G/MtdSo4y0iFtbfq9fUOLsrIq6IiHdExMZ99jHeWmqq8dbRPyLi4Ii4MCLurvssrfGwqM8+B0fEZfXcdm/d94ABczLeWmyUMRdeN6hLE+e4jn29bpgBkZkzPQfNMRHxAeBY4C7gbODXwHbAK4B1gIMy84u17wSwFLiq9u12TWZ+tWv824HHAxcDVwC/B14A7AasAPbNzB907bM+cD6wO/BD4ALgycBrgYeAvTPz0tX6g2tGjDreehzvg8BhwEbArZm5ZY8+xluLNRFzdb/z6rjfAy4FApgA9ga2yszlHf2NuZZq4HfqBCW+FgIXUuJnA2AxsAi4Gtg1M1d27GO8tdQw8Vb7bwCcCRwAXAf8N3A/sDnwIuCozPxG1zH+CXgbcAvwVWA94C+APwaOzMyPdvU33lps1DHndYM6NXGO6zqe1w0zITMtlsYK8ERgFXA7sLCrbS8ggRs76iZq3elDHOOdwOY96t9Vx/pJj7bjatuZwFod9a+s9dd21lvGozQRb11j7gk8DLy5jnNLn37GW0tLQ+e4dYEfUT74vKJH+9rUL7k66oy5FpaG4u1jdZ8TuurXpnwoT8pFgfHW8jJsvHXFz8m9/s2Bdbt+3q32/wWwWUf9BOWi9AFgwnibG6WhmPO6wdJYvHW17YnXDTPzbz3TE7DMrQI8v/7P+vU+7fcB93f8PMFqJCW6xl4b+G0db0FHfQA31fqte+x3UW3ba6b//ixD/5s3Fm/AfGAZcF79uecvM+Ot3aWJmAPeWPf5xyn2N+ZaWhqKt2/XfZ7To+2Y2va2jjrjraVlGvG2LeWC8jK6EvMDjnFGPcYhPdreV9tO7Kgz3lpcmoi5Acf2umGOlSbjDa8bZrS4Jpiadj3l7oXnRcTjOhsiYg9gY8ptpN02j4jDI+JddbvjNI6dlFucoZywJm0LbAX8PDOX9tjv23W79zSOqZnVZLydBmwGHPoY/Yy3dmsi5l5Xt6dHWePpLRFxXES8PiIW9OhvzLVXE/F2bd2+rGv8tYD9Kd9iX9DRZLy117Dx9peU9Yc/D8yPiL+q56rDBqy1NBkX5/Ro6xU7xlu7NRFz/XjdMPc0GW9eN8ygdWZ6AppbMvPuiHgn8CHgpxFxNuX29m0pz1qfBxzeY9d9a/l/EXEhcHBm3jzFw7+WcvK6JDPv6ajfvm5/3me/6+t24MKGmn2aireIeBVwMPCmKcSj8dZiDcXccymPBO0PnMKjf5eviIijMvOzHXXGXEs1FG+nUtY6OSki9gKupKzRtJjy6MibMvNHHf2Nt5aaRrw9t243AW4AOpP0GRGfoKyXswogIuYBWwDLM/O2HlPoFTvGW4uNOuYeg9cNc0xT8eZ1wyww07eiWeZmAQ4E7qZ8yzJZrgde19VvIeX2952ATWvZg/Kt8+Q+86ZwvK2BO4DfAbt1tb2ujvXFPvvuW9u/M9N/b5bZF2/AE2psfaurvt9tzcbbHCijijlgfR75djopCYqtKAtGH0JZjPVhyiKpxtwcKaP+nVr7/UfX+A8DnwSe3NXXeGt5GSLeftBxvjoHeAZl8ee9a/8E3tvRf/N+vztr+7q1/UHjbW6VUcXcgON53TCHyyjjDa8bZkXxcUg1LiKOpbzt53RKZn0esDNwI/BvEXHqZN/MvCMz35OZV2bmPbVcRPkG+lLK2zre9BjHW0i5VfTxwNGZefGwU56czpD7aRZoIN4+Tflg/tdrasqT01lD46lhI465tTu2X8vMYzPz5sy8OzM/R1nINygL/U55ypPTGfbPqpk36nNcfTvkRcAzgZdSvvF+EvAW4PXA5RGx9TBTnpzOkH9UzQLDxBuPnK9uA16Vmddk5vLMvAB4DSWRekxErDfkNIaJHeNtzDUdc143zG0NxJvXDbOASTA1KiL2BD4A/GdmHpOZN2bmbzPzSuBVwK3A2yJim0HjZObvgc/UH/cYcLyFlG+4t6f8Ivt4j2731u0mfYaZ39VPY2LU8RYRBwEvp8TWrVOclvHWYqOOucz8LWW9CoCzeuw6Wfe8jjpjrqUa+p16OiUB9urM/HZm3peZt2fmJ4F3U77VPqGjv/HWUtOIt9/U7TmZubJzrMy8ClhKedzsabX6sWJnk65+U9nHeBtjDcRc9/G8bpjDRh1vXjfMHibB1LQD6va73Q314u4ySlw+Zwpj3Vm383o1RsSTgAuBpwNHZOZpfca5rm77PUv91Lrt9yy2Zq9Rx9tOdfv5iMjOUuu36KjbtNYZb+3WxDluMobu6bHP5AeyDXv0N+baZ6TxFhEbA38K3J2ZV/fYZ/K4O3fUGW/tNWy8DTpXQdf5KjNXUC4yN6qf4br1ih3jrd1GGnOdvG4Qo483rxtmCRfGV9PWr9vH92mfrH+oT3unXev2xu6GiNiS8k3OdsCbM/NTA8a5AbgZWBQRW+cfvnlj/7q9AI2bUcfbDyjP/vdyKOXV2v9ef36wbo23dmviHHc+5c6cZwDf7Gp7Rt0u66gz5tpr1PE2+QjH/IhYLzO7x+k1vvHWXsPG2/nAkTxyXvp/EbE+j1y8LetougB4A7Af8Lmu3XrFjvHWbk3EnNcNmjTqePO6YbZYnQXFLJZhC/BnlGeWbwe26GqbfNX6SmBBrXs+sF6PcfamvB0t+cMFK7einDBWAYdMcV7H1bHOBNbqqH9lrb+2s94yHqWJeBtw7EGL+xpvLS0NneN2oCzWezuwZUf9BpRXd/daiNWYa2FpKN5+WutP6qrfgPJteQKnGm/tL9OIt/Uon8ceBvbt6v/+OtaFXfW71fpfAJt11E9Q3tL2ADBhvM2N0lDMed1gaSzeBhzb64YGS9S/QKkREbEW8B1gH8pbzM6inGieRrkFNYC3ZuZHav8LgT+h3J58Sx1mR8oHdoDjM/P9XcdYSvmwdAXwjT5TOT0zl3Xssz4lg74b8ENKZn8ryuuRH6K8ae3Saf2hNWOaiLcBx07g1szcskeb8dZSTcVcRBwDfJDy9qKzgRXASyi3y18K7JUd61MYc+3U0O/UfSh3HK5Hia2LKY927A88hZKs2DUz7+rYx3hroWHjre7zQuBcSvycBdwEPJey9tydwAsz81GP8UTEB4FjKDH61brvnwMLgCMz86Nd/Y23lmoi5rxu0KSmznF9ju11Q5NmOgtnmXuF8kaMtwKXAPdRXit7B+UXz+KuvofW+mXAcsqtoTcDXwZe1Gf8nELZs8d+GwInUl5p+yDlxHUm8PSZ/juzzN54G3Dcvt/o1HbjraWlqZgDXkb5UHQv5e6InwLHAxsac3OnNBFvlETZF2rfhyjfhF8LnAxsarzNnTJMvHXs8/QaY3fU+Pkl8Ek67mTtsc/BwOWUBP/9wP8ABwzob7y1tIw65vC6wdJgvA04rtcNDRbvBJMkSZIkSVLr+XZISZIkSZIktZ5JMEmSJEmSJLWeSTBJkiRJkiS1nkkwSZIkSZIktZ5JMEmSJEmSJLWeSTBJkiRJkiS1nkkwSZIkSZIktZ5JMEmSJEmSJLWeSTBJkiRJkiS1nkkwSZIkSZIktZ5JMEmSJEmSJLWeSTBJkiRJkiS1nkkwSZIkSZIktd46Mz0BSZIkjYeIeDHwLOCSzLx4pucjSZI0jMjMmZ6DJEmSZrmIOBV4R0fVWzPzIzM1H0mSpGH5OKQkSZIGiogFwNuBY4GNgZOAUyJi3RmdmCRJ0hC8E0ySJEkDRcQOwBJgo8xcERGPA+4EnpKZN8/s7CRJkqbGO8EkSZLGUEQcFhEZEb+OiA9HxLQ/10XEGRFxR0TM69PlOuAy4IiI2Ag4Argd+FXXODvXOR063blIkiSNineCSZIkjaGI2BdYDBwGzAf2y8zvTGOcXSgJrrdn5ocG9Hsp8M3643LgwMw8v0e/s4Bdgadm5vJh5yNJkjQq3gkmSZI0hjLzvMx8B/APtWrXaQ51MnAf8Il+HSIigBMnDw0s75UAq04BnggcNc35SJIkjYRJMEmSpPF2Sd0+a9gdI2IRsA/wlcxcOaDrIcAuwDnA1cATI+JJvTpm5mXAz4DDI2LtYeckSZI0KibBJEmSxtvSut1xGvu+EQjgy/06RMR8yt1ivweOoSTBAJ4zYNwvAVtREmySJEmzgkkwSZKk8XZ83W5TF60fxj7AKh65m6zf+E8APp6ZS4Cf1PpBSbDv1+2+Q85HkiRpZEyCSZIkjamIWEy5mwvKHV3PHGLfecCzgSWZuaJPn0WUtb3uAt5bq6dyJ9jldbvHVOcjSZI0aibBJEmSxlBEbAx8GrgH+GKtHuaRyC2AtYHbBvT5MLAecEJm/qbWTd4JtlO/nTLzXuAByiORkiRJs4JJMEmSpPF0KiXJdDTwrVo3zOL4C+r2N70aI2J/4KXAtcC/TNZn5q8od4ZtHRGbDhj/buBxQ8xHkiRppEyCSZIkjZmI2As4HPhGZp4BXFWbhrkTbPJtkBv0GH9dyl1gAH+bmau6ukzeDfbsAeNv2HEMSZKkGWcSTJIkaYzUtbw+A9xLSYQBXEdJOD0zImKKQ91Rtwt6tB0FbF//+9yIyM4C7Fnbeq4LFhFrAZt2HEOSJGnGrTPTE5AkSdJQTgG2AQ6qjyaSmasi4lpgF2ACWDqFcW4D7uSRZBcAEbEQeA/wO+ALQPbYdwJ4Mf3XBdueslD/j6cwD0mSpEaYBJMkSRoTEfFC4AjgvzLzC13NP6YkwXZkCkmwzMyIuAh4dURsl5m/qE0nA/OBUzPznX3msQvlDZD93hC5a91+97HmIUmS1BQfh5QkSRoDEbEh8K88+jHITpPrgg2zOP7X6vYl9Rg7A4cAvwTeN2C/a4BVwA51Xt0W1/avDzEXSZKkkTIJJkmSNB5OAhYBR2fmbT3af1y3wyyO/zXgf4GD6s8foXw+PDozV/TbKTMfAK4H1u4+XkRsAhxIWbT/l0PMRZIkaaQis9cyD5IkSZoLIuI4yiOQO2Xmj9bAeEcCpwF7ZOb3Vnc8SZKkNcUkmCRJ0hwWERtQ3i55dWa+fDXH2hC4Abg4M1+zJuYnSZK0pvg4pCRJ0hxWH218A/DDiJi3msNNAJ8C3r6685IkSVrTvBNMkiRJkiRJreedYJIkSZIkSWo9k2CSJEmSJElqPZNgkiRJkiRJaj2TYJIkSZIkSWo9k2CSJEmSJElqPZNgkiRJkiRJaj2TYJIkSZIkSWo9k2CSJEmSJElqPZNgkiRJkiRJaj2TYJIkSZIkSWo9k2CSJEmSJElqPZNgkiRJkiRJaj2TYJIkSZIkSWo9k2CSJEmSJElqvf8DsGQxf1WrqL4AAAAASUVORK5CYII=\n", | |
"text/plain": [ | |
"<Figure size 720x288 with 1 Axes>" | |
] | |
}, | |
"metadata": { | |
"image/png": { | |
"height": 280, | |
"width": 608 | |
}, | |
"needs_background": "light" | |
}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"ax = data.plot(ylo=0, yhi=1.5, label='raw data');\n", | |
"data_clean.plot(ax=ax);\n", | |
"ax.axhline(1.0, color='k', linestyle='dashed');" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 6, | |
"id": "1c716b59", | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"x_coordinates = data.wavelength\n", | |
"y_coordinates = data.flux\n", | |
"\n", | |
"new_x_coordinates = data_clean.wavelength\n", | |
"new_y_coordinates = data_clean.flux" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"id": "236b011e", | |
"metadata": {}, | |
"source": [ | |
"The RV shift acts to update the $x-$coordinates, while leaving the $y-$coordinates unchanged:" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 7, | |
"id": "a8def54c", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": 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\n", | |
"text/plain": [ | |
"<Figure size 432x288 with 1 Axes>" | |
] | |
}, | |
"metadata": { | |
"image/png": { | |
"height": 248, | |
"width": 384 | |
}, | |
"needs_background": "light" | |
}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"plt.plot(x_coordinates, new_y_coordinates)\n", | |
"plt.plot(new_x_coordinates, new_y_coordinates);" | |
] | |
} | |
], | |
"metadata": { | |
"kernelspec": { | |
"display_name": "Python 3 (ipykernel)", | |
"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": "3.9.13" | |
} | |
}, | |
"nbformat": 4, | |
"nbformat_minor": 5 | |
} |
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