{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Azimuthal averaging in log-scaled bins\n", "\n", "PyFAI has been optimized for histogramming data on uniform bins. \n", "Neverthless one can perform this histogramming in a different space. \n", "This cookbook explains how to choose the proper radial unit and subsequently\n", "define a new unit to perform this integration\n", "\n", "First of all we will generate an image with some realistic noise and integrate it. \n", "Then we will observe the effects of the output space and finally we will create our own output space.\n", "\n", "## Guinier-like scatterer image" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "%matplotlib inline" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "#import ipympl\n", "from matplotlib.pyplot import subplots\n", "import numpy\n", "import time\n", "import inspect\n", "start_time = time.perf_counter()" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "import pyFAI, pyFAI.azimuthalIntegrator\n", "from pyFAI.gui import jupyter\n", "det = pyFAI.detector_factory(\"Pilatus100k\")\n", "ai = pyFAI.azimuthalIntegrator.AzimuthalIntegrator(dist=1, detector=det)\n", "ai.wavelength=1e-10\n", "q = ai.array_from_unit(unit=\"q_nm^-1\")\n", "method=(\"full\", \"histogram\", \"cython\")" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "#Guinier-like scatterer\n", "I = 1e6*numpy.exp(-q**2/2)\n", "#Add some noise to make it look real\n", "Y = numpy.random.poisson(I)" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = subplots(2,1, figsize=(15,8))\n", "jupyter.display(I, ax=ax[0], label=\"Synthetic\")\n", "jupyter.display(Y, ax=ax[1], label=\"Poissonian \")\n", "pass" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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6l/jUKfADZHwSyerIJqRUbUdkgy7Uad2LmvVb6CpTERE5qezsbL744gv69evHX//6Vzp27MjEiRP55ptv+M1vfsPixYuPWv5vf/sbU6ZMISEhgZSUFABeeukl7r77bq699loyMzPJyclhwYIFvPbaa8ydOxfnHN26dePss8+mSpUqrFmzhvfee48xY8ZwxRVX8OGHH/7q5rkjR47koYceAuD666/n008/ZeDAgT9nnjdvHp9//jmPPPIIX3311Wl9B74qaaXh6k4/sbAw6jQ6gzqNzgACj1V1jh3Ja9m6/DsyNs2n0p4ltN3xCeV2jof5sJvKbCzfnow6XYlvdTZN2nQnMjLS088hIiLH8cUo2L6seLdZqy30f+yEixw+fJgOHToAeSNpN910E926dePDDz8EoG/fvuzZs4fU1NSj1jvzzDMZNmwYV1xxBUOGDAGgR48ePProoyQnJzNkyBCaNWvGd999x+DBgylfvjwAQ4YMYebMmQwaNIhGjRr9vO/OnTuzcePGX+WbNm0ajz/+OIcOHWLv3r20bt3655J2ZL8FrVtUvippOtwZAsyoWa8ZNes1A4YDkJWVyZqVC9izeiYRyXOpe2AJtdZMhzVPkDYxllWxrTlUqwuVz+hNo/a9iY7VuW0iImVVbGzsr0bJjnf+vNnRt1d96aWXmDt3Lp999hkdOnRg8eLFXHPNNXTr1o3PPvuMCy+8kFdeeeW42zoiOvqXp/2Eh4dz+PDho95PT0/njjvuICkpiXr16vHwww+Tnp7+q/XDw8PJzj75jetPxlclTUJTZGQUzdr3oFn7Hj/P27NlHT8t/pqsDbOotncRbTa8RNjGF8n8IpxV0a1IqdWDiq3Oo1nHs3UbEBERL5xkxKsk9e7dm3feeYe//OUvfPvtt1SrVo1KlSodtcy6devo1q0b3bp1Y/LkyWzevJnU1FQaN27MXXfdxfr161m6dCm9e/dm2LBhjBo1CuccH3/8MW+99VahchwpZNWqVSMtLY0JEyYwdOjQYv+8R6ikiSfiE5oQn9CEwJO82LdnJ+sXfUPGmhnU2D2HbpvGEPbTaA5+EcMP5dqRXrcXNTtcSIOWiVhYuLfhRUSkRD388MMMHz6cdu3aUa5cOd54441fLfPAAw+wZs0anHOce+65tG/fnscee4y3336byMhIatWqxUMPPUTVqlUZNmwYXbt2BfIuHOjYsWOhDk9WrlyZW265hbZt29KwYUO6dOlS3B/1KLoFh4Sk/Xt3siHpf2T++A219sylnst7+MReKrEhrhs0PY+G3QYRX6OOx0lFRPwjFG7B4XdFuQWHr0raEYmJiS4pKcnrGFKMtv20lk1JXxC2YTpND8ylKvvJdcaPEc3ZU7s3VTtcTPOOvQkP1yibiMipUkkLvjJ7nzTxr9r1m1K7/m+B35KTk8Oapd+xb/FnVN46nR6bXyEseQx7P63E+rjuRDQ/nyZnDqZi5epexxYRETllKmlS6oSHh9Os49nQ8WwA9u/ezpo5n+B+/JLGqbOpOv9Lsuf9geUx7TnQ8ELq9xhKQsNmHqcWEREpGl+VNN0nrWyqVK0WnQfcCtxKdlYWKxbNIHXxJyRs/4Y2qx+D1Y/xY3hTdiWcR+3ul9HojETdUFdEpADOuV/d3kKKR1FPMdM5aeJrW9YuYeucD6m06UtaZK3Km2e12FKrL1UTL6NJx3N0taiISMCGDRuoWLEi8fHxKmrFzDnHnj17OHDgAI0aNTrqPV04IGXenm0/sfa7D4hZ9wVnHF5EtGWznWpsrHk+cV2uoEXHPoSFa4RNRMqurKwskpOTj7pBqxSfmJgY6tat+6sn7aikieSTsm83q6ePJ3r1JFodmkeU5bCN6mysdQHVu19Nk3Zn6pCoiIiUCJU0kQIcSNnNmhnvE7HqE1oeSiLScthitUhO6E/tXjdQv0VHryOKiIiPlYmSppvZyulK3bODH74dR8yPn9AmfSHh5lgT3pRdjS+hyTnDqFmnvtcRRUTEZ8pESTtCI2lSHHZt+4m137xB9Q0TaZq9lmwXxorYTmS1voLW51xNbIVKJ9+IiIjISaikiZyG5B8XsWXG6zRI/oxa7OKgi+GHqn0o320YLbpeqPPXRETklKmkiRSD3JwcVs6dQtq8t2mz7xsq2GE2Wx02NxhCo/NvoXZCQ68jiohIKaOSJlLM0g6ksvKrt6i46j1aZi4n24WxJLYruR2up33fK4iKivI6ooiIlAIqaSJBtHXtMrZMG02jLZOpxj52U5k1tQdSr+8I6jZr53U8EREJYSppIiUgJzuLFdMnkLvgTdocnEOE5fJDVBsOtx9G6/OuJyo6xuuIIiISYspESdMtOCSU7NyyiTVTR9Ng0wTquu3sIY4f6gyhwQW3U7dhC6/jiYhIiCgTJe0IjaRJKMnJyWH5jIm4+a/Q9uBsAJaU60FE9xG0OWsQYeF6dqiISFmmkiYSAnZuXsOGKc/RLPkjqrKfzVaH7c2voWX/26lQuZrX8URExAMqaSIhJCP9EMumvkW5Ja/TKnslh10UK6pfRK0L76Vusw5exxMRkRKkkiYSon5Y9D37vn2eTilfEm1ZLI3pgut+B217XUpYuG6SKyLidyppIiFu145k1nz2DM1/ep9qpLA+rAE7Wg2n48UjiIkt73U8EREJEpU0kVIiM/0wy78cS+UlY2ics4G9VOLHelfQYuC9VKlR1+t4IiJSzFTSREoZl5vLD3M+J2Pmc7Q7NIdswlka35/aF/2ehKa6Qa6IiF+opImUYhtXL2HrlCfpvOczIslmUcXelO/7AGd06uV1NBEROU1loqTpZrbid7u2/cTayf+hzdbxVOQwi6M64c68lw69BmBhushARKQ0KhMl7QiNpInfHUzdy8rJT9N47RvEk8Lq8OakdbmLjudfo5vjioiUMippIj6UlXGIpZ++SK3lo0lw29kUVpfd7W+jff9biIjSc0JFREoDlTQRH8vJzmLxlNepvOB5muRuYIdVY3PLW2g76LdEx+j2HSIioUwlTaQMyM3JZfG3E4ie/TSts1ewk6qsazGCDpfcTWy5cl7HExGR41BJEylDXG4uy77/lMgZj9EyawXbiWd9ixF0uvQuYmJV1kREQklBJU2Xg4n4kIWF0a7XIFr+8Xt+uOBtUqNq0XP1v0j9dxvmvP84GemHvI4oIiInoZIm4mdmnNFzIC0e/J6V575BSmQNuq96lH2PtWXu+CfIzEj3OqGIiBRAJU2kLDCjVa9Laf7gLFb0fZ3UyGp0W/kP9v6rDfMn/JeszAyvE4qIyDFU0kTKEAsLo3XvwTR/cDZL+4wlNaIqXZb/je3/6kDSp2PIzcnxOqKIiASopImUQRYWRrs+l9H8j3NY2utFsi2SxKTfseGfiSyZNh6Xm+t1RBGRMk8lTaQMs7Aw2p17DQ3+uJAFnf9NTO5B2k+/hR/+dRY/zJvidTwRkTIt5EuamfUxs5lm9pKZ9fE6j4gfhUVE0HngbVQftZS5rf5EtaytnPH5FSz99wVsXD7X63giImWSJyXNzMaa2U4zW37M/H5mttrM1prZqMBsB6QBMUBySWcVKUuiomPodsXvKf/AUmY1uosGh5ZT/4MLmffUlWzdtNbreCIiZYonN7M1s97kFa83nXNtAvPCgR+B88krY/OBq4EfnHO5ZlYTeNI5d+3Jtq+b2YoUj5Q9u1g14WE6bX2fXIyFCdfQ5oq/Ele5qtfRRER8I6RuZuucmwHsPWZ2V2Ctc269cy4TGAdc4pw7cgbzPiC6BGOKlHmV46vT49bnSb15Fisrn82ZW18n5+n2zHn/cd22Q0QkyELpnLQEYHO+6WQgwcyGmNnLwFvAcwWtbGYjzCzJzJJ27doV5KgiZUuNes3pfO8E1g2ezPaohnRf9SjbHuvI4qnv6kpQEZEgCaWSZseZ55xzHznnbnXOXemc+7aglZ1zo51zic65xOrVqwcvpUgZ1qR9b1qOms6Ss14CoMP3t7Pqsd6sWzzD42QiIv4TSiUtGaiXb7ousNWjLCJSAAsLo/15V1N71CLmtvwTtTI30WTiQBY8eRnbN+viAhGR4hJKJW0+0MzMGplZFHAVMKkoGzCzgWY2OjU1NSgBReQXkVHRdLvy90Tcu4Tv6wyndep04l7pwZyxvyf9UJrX8URESj2vbsHxHjAbaGFmyWZ2k3MuGxgJTAFWAeOdcyuKsl3n3GTn3Ii4uLjiDy0ix1UpripnjniavcO/Z1XFHnT/6WX2PdGBRf97TeeriYicBk9uwRFsugWHiHeWz/qM2K/+RJPcDayKake5S/5Dg9bdvI4lIhKyQuoWHMGiw50i3mvT82IaPDif2S3/RK3MDdQdfyFJz93A/j3bvY4mIlKqaCRNRIJm356drHzvj3Tb9SGHLJY1re+h4+D7CIuI8DqaiEjIKBMjaSISWqrE1+DMka+w4fIv2RTVlM4rHmXdY91ZtWC619FEREKer0qaDneKhKZmbbrQZtS3JCU+QZXsXbSYdAmznhlGyh7deFpEpCA63CkiJepg6l5WvvsHOm3/gBSrxNoOf6DLwNsJC/fVvxlFRApNhztFJCSUj6tKl9vH8NPln7MnshbdFv+RVY/1ZsPKBV5HExEJKb4qaTrcKVJ6NGrTk6ajZpPU9mHqZq2n7vvnM/vlkRxK0/9+RURAhztFJATs27WVte/cT5eUz9lONbaf+QgdzrsW7HiP9BUR8Rcd7hSRkFWleh263PMeq/qP53BYeTp8fydLn7iQ7ZtWex1NRMQzKmkiEjJadruQuqPmM6vJfTQ5uJiKY3sx+51/kJOd7XU0EZESp5ImIiElMiqantf/lf03fse6cu3pseYJ1j7Wk3Ur5nsdTUSkRPmqpOnCARH/qN2gOW0fmMLCzv+mZvZW6o2/kO9f+R3p6Ye9jiYiUiJ04YCIhLyUXVtZ/9ZIOu3/mg1h9TnU72ladz3X61giIsVCFw6ISKlVuXodOt33EcvPHkM5d5CWn13GrOdu5sD+fV5HExEJGpU0ESk12pxzBRXuTWJBjcH03P0BaU92YeE3H3odS0QkKFTSRKRUKV+pKl3ufI0fL/qA7LAoOs24kblPXkHK7u1eRxMRKVa+Kmm6cECk7Gje9QJq/j6JefVupFPqV+Q815UlU173OpaISLHRhQMiUuqtWzaH3Il30ixnLQsqnUfTG14gLr6m17FERApFFw6IiG81adudBr+fxaz6t9IudRqZz3Zj8dfvex1LROS0qKSJiC9ERUfT88bH2TRkMmlhlegwcwRznr6W1JS9XkcTETklKmki4itN259Jwu/nMjfhBrrs+4yDT3dl0YxJXscSESkylTQR8Z2omFi63fIMGwZ9SG5YJB2/uZ7vnr2R/Qd0UZGIlB6+Kmm6ulNE8mva+Vyq/24uC2pdwVl7PiTlye4sn/uV17FERArFVyXNOTfZOTciLi7O6ygiEiKiy1Wi821jWNPvXaLIouXnQ5k1+i4y0g95HU1E5IR8VdJERArSrPvFVLx3HgurXkzPrW+w9YkebFoxx+tYIiIFUkkTkTKjfKWqdLn7HRad9TIVc1KoM/4ikt76I7nZ2V5HExH5FZU0ESlzOp53FXbnHBZV6EXiuudZ/Xgfdm5e63UsEZGjqKSJSJkUX702Xe7/mNnt/0n9jDXEvNqbBZ+P9TqWiMjPVNJEpMyysDB6DL6Tvb/5hu0RCXSedy9zn7qa/fv3eR1NREQlTUSkXpPWNP79d8ytdyNdUr4g5akerFow3etYIlLGqaSJiAARUdF0u+kp1l70HtFk0mTSYL5/48/k5OR4HU1EyiiVNBGRfJp360/sXXNYUfEsztzwLCv/3ZedWzZ4HUtEyiBflTQ9cUBEikOlKjXocN9E5rd7hCYZq4gc04slU9/xOpaIlDG+Kml64oCIFBcLC6PLkHvYfe2X7A6vQfvv72D+c8NIP3TA62giUkb4qqSJiBS3+s07UP/33zOr5rV02f0xO/7Tg00/LPA6loiUASppIiInER0dS8/bX2BRn9con3uA6u/1Z87Hz+Oc8zqaiPiYSpqISCF17DMERsxgY3QLui/5I3P+71oOpunwp4gEh0qaiEgRVKvTgBa//4b59YbTI+Uztj95FhtWL/E6loj4kEqaiEgRhUdE0uWmp1l5zqvE5+6m+rsXMmfyK17HEhGfUUkTETlFrc4eSvYtM9gS1ZDuC+7n+2eGk374kNexRMQnVNJERE5DtYQmNHlgOvNrX8uZez/ip//04qd1K72OJSI+oJImInKaIqKi6XLrCyzr9QK1c7YS9+Z5zPvf217HEpFSTiVNRKSYtD33Wg4Nn8auyNp0nXMn371wGxkZ6V7HEpFSSiVNRKQY1WxwBg0e+I6kGpdx1s73WPdEH7ZsWut1LBEphUpFSTOz8ma2wMwGeJ1FRORkIqNjSbxjLEu6P0WD7A3EvtaHRd9M8DqWiJQynpQ0MxtrZjvNbPkx8/uZ2WozW2tmo/K99QdgfMmmFBE5Pe373cj+66eSGh5P++k3M+eVe8nNzvY6loiUEl6NpL0O9Ms/w8zCgeeB/kAr4Goza2Vm5wErgR0lHVJE5HTVbtKO2vd/x/wqF9E9eSzL/9OP1L27vI4lIqWAJyXNOTcD2HvM7K7AWufceudcJjAOuAQ4B+gOXAPcYmal4hCtiMgRMeUq0vXud5jT+iHOOLyQ/c/2Zu2KJK9jiUiIC6XCkwBszjedDCQ45/7knLsHeBcY45zLPd7KZjbCzJLMLGnXLv0rVURCi5nR/fL7WX/x+5Rzh6g1fgBzPn/L61giEsJCqaTZcea5n39x7nXn3KcFreycG+2cS3TOJVavXj0oAUVETtcZXc/HjZjG9qi6dJ83km9e/h1ZOk9NRI4jlEpaMlAv33RdYKtHWUREgqZancY0uH86S6r2o++2MSx8YhC79uzxOpaIhJhQKmnzgWZm1sjMooCrgElF2YCZDTSz0ampqUEJKCJSXCJjytP+t+NY1mYUiemzSH22D8uWLfI6loiEEK9uwfEeMBtoYWbJZnaTcy4bGAlMAVYB451zK4qyXefcZOfciLi4uOIPLSJS3MxoO/RBkge8Q3X2UW/CxXz92TivU4lIiDDn3MmXKiXMbCAwsGnTpresWbPG6zgiIoW2f+saUl8bSp3MTUxJuJPzb/wbkRHhXscSkRJgZgucc4nHzg+lw52nTSNpIlJaVarTjDr3f8eaqn24aOtzzP7vUPbsS/E6loh4yFclTUSkNAuPqcgZd33MyjPuovfhb9j1TF9+/PEHr2OJiEd8VdJ04YCIlHpmtLrq72w8/xXqua1UfecCZk8r8O5DIuJjvippOtwpIn7R8MzLSb/hSzIjytP5298w9c1/kZvrn3OIReTkfFXSRET8JL5RO+Lv/Z71FRM5f/1jzHzqOtIOHfI6loiUEJU0EZEQFl2hKi3u/ZylDYdz9oFP2fDfc9m8eaPXsUSkBPiqpOmcNBHxIwuPoN2wp1l91tM0zVlL5Kt9WTH/W69jiUiQ+aqk6Zw0EfGzFucNZ++VkzELo8mnQ5n3yYteRxKRIPJVSRMR8buElt2JvXMm66Nb0nXRKOa9fDu52VlexxKRIFBJExEpZSpVq02z333FrPjL6LrtXVb+9yIOHdjndSwRKWa+Kmk6J01EyorIqGh6jHyV7874M2ccSmL70+ewc8sGr2OJSDHyVUnTOWkiUpaYGWdd9QDLzh5DjeztMKYva5fO9jqWiBQTX5U0EZGyqGPfoey8fCJg1P7wUpK+Gu91JBEpBippIiI+0LhNd8JHfMOOyDp0mHkr3777OM7pCQUipZlKmoiIT8TXaUide6axukIX+vz4KNOev4Os7GyvY4nIKfJVSdOFAyJS1sVUqEyr+z5jSa3L6Lv7XRb8dwgH0g54HUtEToGvSpouHBARAQuPpP2tr7Kk5X10Pzydn546n+3bk72OJSJF5KuSJiIiAWa0v/KvrDrrWZpmryXrpXNZu2qJ16lEpAhU0kREfKzleb9h++DxVOAQ8eMuZvF3X3gdSUQKSSVNRMTnGnToS/bwqRwMr0jLqdcx+5PRXkcSkUJQSRMRKQOqNziDuN9+y8aYM+ix6AFmjv0jLjfX61gicgIqaSIiZUTFKjVpfN9UFsedS6+fnmfOM9eTmZHhdSwRKYCvSppuwSEicmKR0eVof/cHJNUbTo+UT1n1ZH9SU/Z6HUtEjsNXJU234BAROTkLCyfxpqdZ2OERWqcvYs8zfdi+ea3XsUTkGL4qaSIiUnidLr2H1eeNpUbOTsJfPZ+fluvh7CKhRCVNRKQMa91rMDsu/4RcjPgJl7J61iSvI4lIgEqaiEgZ16RNN3JunMqOsJo0mjKMJf8b63UkEUElTUREgDr1m1D5jqmsiTyDtrPvI2n8Y15HEinzVNJERASAqtVq0ujeKSwu14PElf9i7qv36l5qIh5SSRMRkZ+VK1+Rtvd9wpzKA+i2eSxJz11PTnaW17FEyiSVNBEROUpkZBTd7nqLWQnD6bL3U5Y9OYj0Q2lexxIpc1TSRETkVywsjJ63PM2cFqNod3A2G566gNR9u7yOJVKm+Kqk6YkDIiLFq/vVD7Ko239pkrmavc+ey55tm7yOJFJm+Kqk6YkDIiLFr/NFN/HDuWOpkbOD9NHns3XDKq8jiZQJvippIiISHO16X8JPA8dR3h0k8o3+bFo53+tIIr6nkiYiIoXSMvEc9l7xCQ6j8vhL+HHBN15HEvE1lTQRESm0xq0SybrhfxywitSddBXLZ37idSQR31JJExGRIklo1IKYEVPZHl6b5l/dyKIpb3odScSXVNJERKTIqtWuT/zIr1gf1Yx2s+5i3kfPeB1JxHdU0kRE5JTEVa1O/bunsCK2M12X/oU57/zN60givqKSJiIip6xchTjOuPczFlY4m+5r/susMffoeZ8ixUQlTURETktUdAzt7/mIeVUH0nPLa8x/8WZyc3K8jiVS6qmkiYjIaQuPiKDLyDeZXetauu76kIXPXkNOdrbXsURKNZU0EREpFhYWRvcRz/F9/VtJTPkfi/9vKFmZGV7HEim1Qr6kmVlLM3vJzCaY2e1e5xERkYJZWBhn3vg4s5vcQ+cD01j+9KVkpB/yOpZIqeRJSTOzsWa208yWHzO/n5mtNrO1ZjYKwDm3yjl3G3AFkOhFXhERKZoe1z/CnDMepOOhWfzw9EAOH0zzOpJIqePVSNrrQL/8M8wsHHge6A+0Aq42s1aB9wYB3wFfl2xMERE5Vd2vGsX8to/Q9vAC1v3fRaQdSPE6kkip4klJc87NAPYeM7srsNY5t945lwmMAy4JLD/JOdcTuLZkk4qIyOnoctk9LOryb87IWEby//Ujde9uryOJlBqhdE5aArA533QykGBmfczsGTN7Gfi8oJXNbISZJZlZ0q5du4KdVURECqnzgFtZfuYzNM76kd3Pn8+enVu8jiRSKoRSSbPjzHPOuW+dc3c55251zj1f0MrOudHOuUTnXGL16tWDGFNERIqqwwXX88M5o0nI3kzaSxewc8sGryOJhLxQKmnJQL1803WBrUXZgJkNNLPRqampxRpMREROX7s+Q1l34ZtUy9lN1isXsm3Taq8jiYS0UCpp84FmZtbIzKKAq4BJRdmAc26yc25EXFxcUAKKiMjpad3zIpIHjaOiSyPstf5sW7fM60giIcurW3C8B8wGWphZspnd5JzLBkYCU4BVwHjn3Aov8omISPC06HwOOwZ/RCRZRL41kC1rFnsdSSQkmXPO6wzFxswGAgObNm16y5o1a7yOIyIiJ7Bm+XyqTLgMw0i/ZiIJzTt6HUnEE2a2wDn3q3vBhtLhztOmw50iIqVHszZdSLliIrkYse8OYvMPSV5HEgkpvippIiJSujRt1Yn9V00kmwjKjxvMT6tU1ESO8FVJ09WdIiKlT5MzOnDo6ryiVvH9wWxaOd/rSCIhwVclTYc7RURKp4Yt2nP4mk/IIoIK4y9jw6qFXkcS8ZyvSpqIiJReDZq3I/2aj3EYFd4fzLpVi7yOJOIplTQREQkZ9Zt3IP2aiYSTS6X3L2XNygVeRxLxjK9Kms5JExEp/eo270j6tZMIA6qMH8ya5TpHTcomX5U0nZMmIuIPdZp1JPO6SUAY8ROGsG75PK8jiZQ4X5U0ERHxj9pN25N53SRyiKDqhCFsWDHX60giJUolTUREQladpu3IuG4SWURS5YMhbFoxx+tIIiWmUCXNzKoGO0hx0DlpIiL+U7dpW9Kvm0w6MVT+4DI2r5jtdSSRElHYkbS5ZvaBmV1kZhbURKdB56SJiPhT/aZtSL9uMgeJJe6Dy0he8b3XkUSCrrAlrTkwGrgeWGtm/zSz5sGLJSIicrSGTVuRce0kDlCeih9cwZYfdNWn+FuhSprLM9U5dzVwM3ADMM/MpptZj6AmFBERCWjUrBUZ10wkgyhix13G1rXLvI4kEjSFPSct3szuNrMk4HfAb4FqwP3Au0HMJyIicpTGzVuz/4oPAUf425ewdeNqryOJBEVhD3fOBioBlzrnLnbOfeScy3bOJQEvBS9e0ejCARGRsqFpq07sHfI+saST+8YgtiVv8DqSSLErbEn7s3Pu78655CMzzOxyAOfcv4OS7BTowgERkbKjabue7Bz0DlVcCumvDmT71s1eRxIpVoUtaaOOM+/B4gwiIiJSVE07ncO2i16ndu529r8yiF27dngdSaTYRJzoTTPrD1wEJJjZM/neqgRkBzOYiIhIYTTt2p81WaNp9OXNrHlpEBEjv6BKlVJxe0+REzrZSNpWIAlIBxbke00CLgxuNBERkcJpduYQ1p39DC2yV7Pl+QHsT93rdSSR03bCkTTn3BJgiZm945zTyJmIiISsM/pex4rsLFp8fz/rn+tP+N1TKV+hktexRE7ZCUfSzGx84NdFZrY032uZmS0tgXwiIiKF1vqC4Szr8RRNM1ez4dmBpB/Y53UkkVN2wpE04O7AzwHBDlIczGwgMLBp06ZeRxEREY906ncDSRlptF/4F5KfvYCEe6cRFVvB61giRXbCkTTn3LbAr7uBzc65TUA00J6889VCim7BISIiAImX3Mn3nZ+kQcYalj13NdnZOmNHSp/C3oJjBhBjZgnA18Bw4PVghRIRETldfQYNY17ze+l8cAYzXhxJbk6u15FEiqSwJc2cc4eAIcCzzrnBQKvgxRIRETl93a95iKW1h9J3z3t8+/I9uFwVNSk9Cl3SAg9Svxb4LDDvZOeziYiIeMuMtreMZkmNS+i78w2+G3OvipqUGoUtaXeT94SBj51zK8ysMTAteLFERESKh4WF0+6211gQP4he215nztj7vY4kUiiFKmnOuRnOuUFHntPpnFvvnLsruNFERESKh4WF0/GO15lXZQA9kscy551HvI4kclKFKmlm1tzMRpvZl2b2zZFXsMOJiIgUl7DwcDrf+QYLK5xN9zVPMnfic15HEjmhwp5X9gHwEvAKkBO8OCIiIsETHhFB65HjWP7URXRe9BcWlKtK5wuu8TqWyHEV9py0bOfci865ec65BUdeQU12CsxsoJmNTk1N9TqKiIiEqOiYcjQe+TEbIpvS5vu7WD7zE68jiRxXYUvaZDO7w8xqm1nVI6+gJjsFupmtiIgURrmKVah5+6dsDU+gyVc38+O8/3kdSeRXClvSbgAeAGYBCwKvpGCFEhERCbZK8TWpMOJTdobVoN7n17Nl9gdeRxI5SmGv7mx0nFfjYIcTEREJpuq16hF+4+esswbUnHIrOxdrRE1CR2Gv7ixnZn82s9GB6WZmVioeui4iInIides1IHrYJ2ygDrETh7NnwxKvI4kAhT/c+RqQCfQMTCcD/whKIhERkRLWrEECGVeMI91FkfXWUPbv2uJ1JJFCl7QmzrnHgSwA59xhwIKWSkREpIS1adWGLf1fIy4nhR0vX8qhA/u8jiRlXGFLWqaZxQIOwMyaABlBSyUiIuKBDt37svLMp2mYtY7Nzw4g49B+ryNJGVbYkvYw8D+gnpm9A3wN/CFYoURERLzS+YJrmd/5cZpmrGDjs4PIyTzsdSQpowp7deeXwBBgGPAekOic0wPWRUTEl3oOupkZrf9Oi8OL+OGFq3A52V5HkjKosFd3fu2c2+Oc+8w596lzbreZfR3scCIiIl4554rf8lX9u2md8i3LX7kVnPM6kpQxJyxpZhYTeLJANTOrku9pAw2BOiWSUERExCN9hz3CtKpX0XbbBOZ/9KTXcaSMOdlI2q3kPV3gDH550sAC4BPg+eBGy2Nml5rZGDP7xMwuKIl9ioiIAISFGWfd/hzLYjrTYemjrJz8f15HkjLkhCXNOfd/zrlGwO+cc43zPW2gvXPuuVPdqZmNNbOdZrb8mPn9zGy1ma01s1GBDBOdc7eQdz7clae6TxERkVMRGRlJ49snsCSqI60WPMT6b173OpKUEYW9cOBZM+tpZteY2W+OvE5jv68D/fLPMLNw8kbn+gOtgKvNrFW+Rf5MCY3eiYiI5Fc+riqNRk5kSVhr6sz4HZuWf+91JCkDCnvhwFvAf4CzgC6BV+Kp7tQ5NwPYe8zsrsBa59x651wmMA64xPL8G/jCObfwVPcpIiJyOuLjKlLtxnHsI46YCdezY8MKryOJz0UUcrlEoJVzQb20JQHYnG86GegG/BY4D4gzs6bOuZeOt7KZjQBGANSvXz+IMUVEpKxKqFufdZe9Q5UJQwl7sx/7h31KpQbtvY4lPlXYm9kuB2oFMwjHf8yUc84945zr7Jy7raCCFlhwtHMu0TmXWL169SDGFBGRsqxJ2+5sunQiGbnh5LxxCel7NnkdSXyqsCWtGrDSzKaY2aQjr2LOkgzUyzddF9hazPsQERE5bR07JvLDBW8TmXOY5NFXkZ2pJyVK8Svs4c6HgxkiYD7QzMwaAVuAq4BrirIBMxsIDGzatGkQ4omIiPzi7DPPYvrOv3H2kt8zc/RvOevOlzE73kEhkVNT2Ks7px/vdao7NbP3gNlACzNLNrObnHPZwEhgCrAKGO+cK9JZmc65yc65EXFxcacaTUREpNDOHnwrC2tdTq/d7zP9jb96HUd8xk50LYCZHQCOt4CRd75YpWAFOxX5RtJuWbNmjddxRESkDHDZmSx95kra7/+GJc3upP21//Q6kpQyZrbAOferu2ac7Ga2FZ1zlY7zqhhqBQ00kiYiIiXPIqJo/dv3+b78+bRf8zyrJz/ldSTxicJeOCAiIiIFiIiMosPId5gX2YXGSX9nzcJpXkcSH1BJExERKQblY6NpNOId9lhVoibdTvL2nV5HklLOVyXNzAaa2ejU1FSvo4iISBlUvXpNci55ngR2sHvMYFL095GcBl+VNJ2TJiIiXkvoeCEbz/ov7bJXsP75y0hPP+x1JCmlfFXSREREQkHT825kaadH6JQ5n1XPXUFudpbXkaQU8lVJ0+FOEREJFR0uuZtZTe+nY9oMVrx4PeTmeh1JShlflTQd7hQRkVDS49q/8FWtW2i75wuWvv17r+NIKeOrkiYiIhJKzIxzbnmcmRX60W79GBZ9+bbXkaQUUUkTEREJovDwMBLvGMuPEc1p9v3v+GHhDK8jSSnhq5Kmc9JERCQUxZYrT7Ub3yctrAINJg1l+zLd7FZOzlclTeekiYhIqKpapzEZN3zJLqoQ8dFw9u3Y7HUkCXG+KmkiIiKhrEHDxhy45DXK5x5k2ytXkZGR7nUkCWEqaSIiIiWodceerOryD1plLWfWy3fhnPM6koQolTQREZES1mnArSytcznn7H2fKe8953UcCVEqaSIiIh5oe+PzrCvXnr6r/8p3Uz/2Oo6EIF+VNF3dKSIipYVFRFP39o/ZGZlAu+/uYPniuV5HkhDjq5KmqztFRKQ0ia4YT8UbJ5IdFkXcxOtJTk72OpKEEF+VNBERkdImrk4TDg95g5rsIXPsRezfvcXrSBIiVNJEREQ8ltC2D2vPG0utnO3seXkQWYf3ex1JQoBKmoiISAhoddYlLOz2FPUz17F49G26NYeopImIiISKsy66lqSE6+my7zP+99HrXscRj/mqpOnqThERKe26DHuc5OgmnL30D8z59lOv44iHfFXSdHWniIiUdmFRsVS77TP2RVSj9bSbWbNouteRxCO+KmkiIiJ+EFOlNjE3fcaBsErU/uRKdq363utI4gGVNBERkRAUX6cR6ddNJtVVIO2DO0g7nOF1JClhKmkiIiIhqnGTFuw/6880yt3Ih6/8k5xcXfFZlqikiYiIhLCW5/6G7VW7cNXu5xg3/h2v40gJUkkTEREJZWFh1Lp5PCmxdRm66m5mf/qG14mkhKikiYiIhLpyVak68hs2RzWh3fwHWLlolteJpASopImIiJQCkRXiqX7zBNLDytHwk8HsSfrI60gSZCppIiIipURczfocuG4K610C0Z+N5NDeZK8jSRD5qqTpiQMiIuJ3DZu0IG3Ai0TkZrL61dvI1RWfvuWrkqYnDoiISFnQvUs3lja9nY4HZ/LFuOe8jiNB4quSJiIiUlZ0ueYhNsW2ot/qv7B04lNex5EgUEkTEREphSw8klq//R9LojtzxqK/s2bxTK8jSTFTSRMRESmlosvF0eCWt0m1OOIm/obdG5d5HUmKkUqaiIhIKRZfvTYHLn+fMJdDzpuXkb5/j9eRpJiopImIiJRyjVt3Zd25Y6iSs5sVr9yCc7ri0w9U0kRERHygW+8LWdrgBjrv/5pxn03xOo4UA5U0ERERn+h85Z9JD4ul9/w7WD35v17HkdOkkiYiIuITVj6esKGvcSCyGs2S/s6WJV95HUlOg0qaiIiIj0S16k+lEZ+zxWoSNvF29qfu9TqSnCKVNBEREZ+pU6Ma+/s9Q43cXax++QZyM9O9jiSnIORLmpk1NrNXzWyC11lERERKi9bdL2Rxi3vocmgGm164BHJzvY4kReRJSTOzsWa208yWHzO/n5mtNrO1ZjYKwDm33jl3kxc5RURESrNOV/+VibXvoVHKHJZP/j+v40gReTWS9jrQL/8MMwsHngf6A62Aq82sVclHExER8Qczo/+Nf2FxZAeaLnyUjYuneR1JisCTkuacmwEceyZjV2BtYOQsExgHXFLi4URERHwkOjKCOje9wy6Lp/LE37B/yw9eR5JCCqVz0hKAzfmmk4EEM4s3s5eAjmb2YEErm9kIM0sys6Rdu3YFO6uIiEipUaNWXQ5c9h7OOdJeu4zswwe8jiSFEEolzY4zzznn9jjnbnPONXHO/auglZ1zo51zic65xOrVqwcxpoiISOnTqm0nlvR4mlpZW1gz+no4uNvrSHISoVTSkoF6+abrAluLsgEzG2hmo1NTU4s1mIiIiB/06TeUrxNuo/nebzn4/NmQnel1JDmBUCpp84FmZtbIzKKAq4BJRdmAc26yc25EXFxcUAKKiIiUdn1u+if/rfoQ5Q8lkzz9da/jyAl4dQuO94DZQAszSzazm5xz2cBIYAqwChjvnFvhRT4RERG/igwP46Yb72C1NcZm/ofd+/Z5HUkK4NXVnVc752o75yKdc3Wdc68G5n/unGseOP/s0aJuV4c7RURETi6+YgxRF/2TBHYwd8y9ZOXoRrehKJQOd542He4UEREpnEZd+rO+0TX0PziRt99/1+s4chy+KmkiIiJSeI2v/g8p0XU4f/Vf+d+cxV7HkWP4qqTpcKeIiEgRRJWn0vVvUi0sjXpfDGPVlmPvMy9e8lVJ0+FOERGRoomol0jGxc/S2jbw2ev/JvVQlteRJMBXJU1ERESKLq7z5Ryo2ZVbMt/ixTdeJzfXeR1JUEkTERERMypeORoqVOfe7Q/y/sSPvE4k+Kyk6Zw0ERGRU1S1EZXu+JoDUTU4b8m9zFy43OtEZZ6vSprOSRMRETl1Vr4aFYePp6KlU3fSUA6+cz1kHfY6Vpnlq5ImIiIipye6ThsOnv84YJRfM4msqY94HanMUkkTERGRo8SfOYzN18zgrZzzCJ/3Em73Wq8jlUm+Kmk6J01ERKR49G5eneyzHiDbhbHyk/94HadM8lVJ0zlpIiIixeeG87uxsOI51P9pIguX6UKCkuarkiYiIiLFJyzMaHPNP4gwR8SHw9m5c7vXkcoUlTQREREpUIU6LUm54GlaunWEvXQWWSlbvI5UZqikiYiIyAnV7nk1s89+m3I5+9ny6vWQneF1pDLBVyVNFw6IiIgER+++F/G/+vfT8MACUl44X/dPKwG+Kmm6cEBERCR4Lr7hdzxd8X4q713CzqSJXsfxPV+VNBEREQme6Ihwhg67lx1UZd3Xr3E4M8frSL6mkiYiIiKFVje+IhlnDKZzVhJvvPsmpO/3OpJvqaSJiIhIkdS/8G4OxdTkto33kPN4Y/jhM68j+ZJKmoiIiBRNlQZUvHs2o6vcz4qc+uR+cCPs2+h1Kt9RSRMREZEiCy9Xmctu+gN/jvoDuTmZZMwe43Uk3/FVSdMtOEREREpOfIVo/nrdBUzN7UJW0hu4zENeR/IVX5U03YJDRESkZHVuUAXX5RYq5B5g9vtPeB3HV3xV0kRERKTk9R8wlJXlEmm19mUW6UHsxUYlTURERE6LmdHg6qeItFzqfjiA3Vs3eh3JF1TSRERE5LSVr9eOnZdNoDr7+N97z5DzwxeQq5vdng6VNBERESkWjdqeRUqlFly2/y3Cx10FS8d7HalUU0kTERGRYlO50xBiLROAXXPf9zhN6aaSJiIiIsWn7eXkVmnEoogOxG2bydYdO7xOVGqppImIiEjxiW9C2N2LqTn4UaLIZsVrI8nK1rlpp8JXJU03sxUREQkNdVqfxZoWt3J++pd8Ou5Fr+OUSr4qabqZrYiISOhoduVj7I2qQ5MfX2HrmzfDvk1eRypVfFXSREREJISEhVGx1620C9tAnfUfcHDaf71OVKqopImIiEjQRCYO40CLoSx0LWDZBLLSD3odqdRQSRMREZHgia1Mxatf5XDvP1LeHWT3s31h3TSvU5UKKmkiIiISdGf2vYSP6o4i48A+eOtS+P7/vI4U8lTSREREJPjMuOiG33NX1ReZQg+Y+hCs/drrVCFNJU1ERERKRExkOE9f240/5N7JAatA7rIJXkcKaSppIiIiUmIaV6/AI0M6MT27NQdXTgXnvI4UslTSREREpERd0iGBjPp9qJi1i3nzZ3kdJ2SppImIiEiJu3jIteQQRvnPf8uO5LVexwlJKmkiIiJS4mLiG7Cr30s0csmseft+snNyvY4UckK+pJlZeTN7w8zGmNm1XucRERGR4lGr+5VsaXYNPQ5P57VPv/U6TsjxpKSZ2Vgz22lmy4+Z38/MVpvZWjMbFZg9BJjgnLsFGFTiYUVERCRomg36PS4snJikF5i1drfXcUKKVyNprwP98s8ws3DgeaA/0Aq42sxaAXWBzYHFckowo4iIiARbpTrQ7iquCJ/Oq++9z57UNK8ThQxPSppzbgaw95jZXYG1zrn1zrlMYBxwCZBMXlGDUnB4VkRERIomotc9RJHFqzl/ZP4rd5Gbq9tyQGiVngR+GTGDvHKWAHwEXGZmLwKTC1rZzEaYWZKZJe3atSu4SUVERKT4VGuG3TiFn2qcwzn7JzHu6zleJwoJoVTS7DjznHPuoHNuuHPudufcOwWt7Jwb7ZxLdM4lVq9ePYgxRUREpNjV70a9q58m3Bw1Z/6R9fP+B2P7w6IC/+r3vVAqaclAvXzTdYGtHmURERGREmZVGpJ57t84N2whjT+/En6aBTP/W2afShDhdYB85gPNzKwRsAW4CrimKBsws4HAwKZNmwYhnoiIiARbubPuYMNBx3MzN3Nm3SiG7HgGNs+D+t28jlbivLoFx3vAbKCFmSWb2U3OuWxgJDAFWAWMd86tKMp2nXOTnXMj4uLiij+0iIiIBJ8ZjfqNpN45N/GXTe3JDo+FxWXzkKcnI2nOuasLmP858HkJxxEREZEQ89u+zZi9bg+fbU1k4PKPCOv/b4iM9TpWiQqlc9JOm5kNNLPRqampXkcRERGR0xAeZjx9VQc+DTuHsMwD5L7QE+aN8TpWifJVSdPhThEREf+oHRfLFUOv4YfceoTtWw9Jr3kdqUT5qqSJiIiIv5zfujbjOo/jqazLcDtXwoe3wPTHvY5VInxV0nS4U0RExH9GXdSSbVUSMRwsGw/THoUFr3sdK+h8VdJ0uFNERMR/YiLDue3aK8hwkewNq4qr2RqWjMt7c8JN8NXDnuYLFl+VNBEREfGnxrWrsbztH7g3/RaWhreBbUthzVewfAJ895TX8YLCVyVNhztFRET8q9NlvyOubX/e+akKZB2EyXf98mbaTu+CBYmvSpoOd4qIiPiXmfHo4DbsrHBG3oz9W6DVJXm/b1ngXbAg8VVJExEREX+rGBPJ3VddTIaLJMsicRf+EyzclyUtlJ7dKSIiInJSHRvWYE31s/lueziV18Pgmq1hw0yvYxU7jaSJiIhIqdP4jgl8Xvce/jJxBSmNB8LmObDrR69jFStflTRdOCAiIlI2hIcZT13ZAQPu/bE1LiwSFvjriQS+Kmm6cEBERKTsqFulHP8Y3IZpybC+cg9Y/bnXkYqVr0qaiIiIlC2XdEhgcMcExu2sB/s2wvrpsGOF17GKhUqaiIiIlGp/u6Q1G8p3yJt4cxC82NPTPMVFJU1ERERKtYoxkdx+1aWkuRivoxQrX5U0XTggIiJSNnVuVINt1fKNoGVnehemmPiqpOnCARERkbKr0W3jeaniSAC2Jm/wOM3p81VJExERkbIrIjKSIX3PBODFSdPJyXW/vPn9/8FHt3qU7NSopImIiIhv1EhoDEDK9k28MG1t3sx9m2DqQ7B0HGQe8jBd0aikiYiIiH9UqgPAuQnZPP31GhZv2AGT7/rl/Z0rC7edNV/B+Bvg4J4ghCwclTQRERHxj5hKEFWR/vUdtSrFsOLdUbD+W+jzYN77WxcVbjtbF8HKiRBVLlhJT8pXJU1Xd4qIiAiV6hB9aBtPXdmB9hkL+bF8Zzj7D1AuHrYtKdw2UjZChZoQGRvUqCfiq5KmqztFRESESnUg5Se61qtAy/Bkvkmtw6fLtkHt9rB5HuTmnnwb+zZB5QbBz3oCvippIiIiItTpCDuWw9ZFhLts0qq04o8fLSOl8QDYvRq++fvJt5GyCaqopImIiIgUnwZnQm42zH8FgKsGXUx2ruOOFa1wLS+B+a+eeP2cbEjdApXrl0DYgqmkiYiIiL/U6woWBsvGQ2Q56jZpw0MDWjFr/V6SMutBRipkHS54/f1bwOXocKeIiIhIsYqp9MsoWMtBEBbOlV3qcV7Lmny0OitvftrOgtdP2ZT3U4c7RURERIrZpS/CoGfh0hcAMDP+fVlbDkXFA5CRur3gdfcFSppG0kRERESKWYOe0Ok3EBb+86z4CtFcd14XAD6ZeYL7pR3anfezQo1gJjwplTQREREpM7q0bgHAoh9+5Pu1u4+/UOYhwCDSuxvZgkqaiIiIlCXlqwPQvPwh7h+/hNRDWb9eJvMgRJUHsxIOdzRflTQ9cUBEREROKCIKYqswsEkEu9My+NPEZTjnjl4m66Dno2jgs5KmJw6IiIjISZWvQTVSuPf85ny6dBufLN569PuZhzx9ZucRvippIiIiIidVoQak7eK2s5uQ2KAKf5m4nOR9h355P+sQRFXwLl+ASpqIiIiULRVqQNoOwsOMp67sgAPuG7+EnNzAYc/MNB3uFBERESlxFWpB2g5wjnpVy/HwoNbM27CXMTPX572vw50iIiIiHqhUJ++QZnoKAJd1SuCitrX475erWb4lVYc7RURERDwRl5D3M3ULkPc0gkcvbUvV8lHc8/5icjN0uFNERESk5FUKlLT9W36eVaV8FP+5vD1rd6ZxKG2/DneKiIiIlLjjlDSAXs2qM/zMhpB1iM0Hva9I3icQERERKUkVa4GF5x3u/GkufPXIz2/94cIWlLMMpvy4n60phz0MqZImIiIiZU1YeF5R278Flo6D756EnGxY+BYx/4wnDMeBnCiGvTbv+I+NKqmYnu1ZRERExCuVEiA1GVJ+yptOT4Vv/v7z25d0a07FmEiycnM9CggRnu25kMysMfAnIM45N9TrPCIiIuIDcQmwbSmEBapQegrEVM67fxrQuHYNJvTvgXn4kPWgjqSZ2Vgz22lmy4+Z38/MVpvZWjMbdaJtOOfWO+duCmZOERERKWMq14fUzb+MpB1Ogdgqv7wfVc7TggbBH0l7HXgOePPIDDMLB54HzgeSgflmNgkIB/51zPo3Oud2BjmjiIiIlDW120NO5i/T6fugXNVfpkPgZrZBLWnOuRlm1vCY2V2Btc659QBmNg64xDn3L2BAMPOIiIiIAFCn49HTh1MgPPKX6TJ6M9sEYHO+6eTAvOMys3gzewnoaGYPnmC5EWaWZGZJu3btKr60IiIi4j9VGh19eDM9BbLSf5kuozezPd4BXlfQws65Pc6525xzTQKjbQUtN9o5l+icS6xevXqxBBURERGfMjt6NO1wSt4zO48IgcOdXpS0ZKBevum6wNbi2LCZDTSz0ampqcWxOREREfGzZhdC9ZYQERsYSctX0sro4c75QDMza2RmUcBVwKTi2LBzbrJzbkRcXFxxbE5ERET8rPttcOcciK0Mh/dBVr4nDETGehbriGDfguM9YDbQwsySzewm51w2MBKYAqwCxjvnVgQzh4iIiEiBYir/crizZlvoMfLo89U8EuyrO68uYP7nwOfFvT8zGwgMbNq0aXFvWkRERPwqtnLeEwcyD0HjPnDho14nAnz2WCgd7hQREZEi+3kk7XBInIt2hK9KmoiIiEiRxVb+5cKBEDgX7QhflTRd3SkiIiJFFlMZ0naCy1FJCxYd7hQREZEii60CORl5v0eW9zZLPr4qaSIiIiJFVqHGL79rJE1EREQkRFSo+cvvunAgOHROmoiIiBTZUSVNI2lBoXPSREREpMgq5Hvmt0bSREREREJE+XznpEWppImIiIiEhsiYfL/rcGdQ6Jw0EREROS063BkcOidNRERETotG0kRERERCkEbSREREREKQSpqIiIhICLnoP3mPhIqIOfmyJcRXJU0XDoiIiMgp6XoL/GkrhIVONQqdJMVAFw6IiIiIX/iqpImIiIj4hUqaiIiISAhSSRMREREJQSppIiIiIiFIJU1EREQkBPmqpOkWHCIiIuIXvippugWHiIiI+IWvSpqIiIiIX6ikiYiIiIQglTQRERGREKSSJiIiIhKCVNJEREREQpBKmoiIiEgIUkkTERERCUG+Kmm6ma2IiIj4ha9Kmm5mKyIiIn7hq5ImIiIi4hfmnPM6Q7Ezs13ApiDvphqwO8j7KOv0HZcMfc8lQ99zydD3XDL0PRevBs656sfO9GVJKwlmluScS/Q6h5/pOy4Z+p5Lhr7nkqHvuWToey4ZOtwpIiIiEoJU0kRERERCkEraqRvtdYAyQN9xydD3XDL0PZcMfc8lQ99zCdA5aSIiIiIhSCNpIiIiIiFIJa2IzKyfma02s7VmNsrrPH5kZmPNbKeZLfc6i5+ZWT0zm2Zmq8xshZnd7XUmPzKzGDObZ2ZLAt/zI15n8jMzCzezRWb2qddZ/MrMNprZMjNbbGZJXufxMx3uLAIzCwd+BM4HkoH5wNXOuZWeBvMZM+sNpAFvOufaeJ3Hr8ysNlDbObfQzCoCC4BL9ee5eJmZAeWdc2lmFgl8B9ztnJvjcTRfMrP7gESgknNugNd5/MjMNgKJzjndJy3INJJWNF2Btc659c65TGAccInHmXzHOTcD2Ot1Dr9zzm1zzi0M/H4AWAUkeJvKf1yetMBkZOClfx0HgZnVBS4GXvE6i0hxUEkrmgRgc77pZPSXmviAmTUEOgJzPY7iS4FDcIuBncBU55y+5+B4Gvg9kOtxDr9zwJdmtsDMRngdxs9U0orGjjNP/yKWUs3MKgAfAvc45/Z7ncePnHM5zrkOQF2gq5npMH4xM7MBwE7n3AKvs5QBZzrnOgH9gTsDp6hIEKikFU0yUC/fdF1gq0dZRE5b4BypD4F3nHMfeZ3H75xzKcC3QD9vk/jSmcCgwPlS44C+Zva2t5H8yTm3NfBzJ/AxeacCSRCopBXNfKCZmTUysyjgKmCSx5lETknghPZXgVXOuSe9zuNXZlbdzCoHfo8FzgN+8DSUDznnHnTO1XXONSTv/5u/cc5d53Es3zGz8oELjTCz8sAFgK7EDxKVtCJwzmUDI4Ep5J1kPd45t8LbVP5jZu8Bs4EWZpZsZjd5ncmnzgSuJ2/EYXHgdZHXoXyoNjDNzJaS9w+9qc453R5CSquawHdmtgSYB3zmnPufx5l8S7fgEBEREQlBGkkTERERCUEqaSIiIiIhSCVNREREJASppImIiIiEIJU0ERERkRCkkiYiIiISglTSREREREKQSpqIiBzFzBqb2atmNsHrLCJlmUqaiJyUmf3JzFaY2dLAkwm6FXH9ymZ2R0HTp5Bn1qmuW9xO97Ocwv5izWy6mYUHax/OufXOuaOe9GFmUWY2w8wigrVfETmaSpqInJCZ9QAGAJ2cc+3Ie/bk5iJupjJwxwmmC5PDzCwMwDnXs4j7D6bKnMZnOQU3Ah8553JOcf38Odqa2afHvGocb1nnXCbwNXDl6e5XRApHJU1ETqY2sNs5lwHgnNvtnNsKYGa/CYyuLTGztwLzJprZgsDI24jANh4DmgRG4Z44zjRmdp2ZzQvMe9nMws2soZmtMrMXgIVAvcCyafneGxPY15eBB5gTWOYvZvaDmU01s/fM7Hf5P5SZ/fuY0b2Hzez+grIU9HkL+Cz3mdnywOuewLzjfpZ8+29mZt+aWZKZPW5mawv473Et8Em+9T42s3+Y2Uwz225m5wXmf2Bmz5nZd2a2yczOMrM3zexHM3s18N9ymXNuwDGvnSf4szAxsH8RKQnOOb300kuvAl9ABWAx8CPwAnB2YH5rYDVQLTBd9ZifscByIB5oCCzPt81jp1sCk4HIwPQLwG8Cy+UC3Y/JlBZ4LxvoEJg3Hrgu8HtiIHMsUBFYA/zumG10BKbnm14J1D9BloI+77GfpTOwDCgf+O5WBPZ13M8SWCccmE3eaCXAs8Anx1kuCth+zLyfPxswBHgt8PsPwH2B3/8WyF47sI19QPQJ/pvHAy8B64AHj8m5y+s/k3rpVVZeOrdARE7IOZdmZp2BXsA5wPtmNoq88jPBObc7sNzewCp3mdngwO/1gGbA9pPs5lzyys18M4O8crUTmAFscs7NKWC9Dc65xYHfF5BXhADOIq/kHAYws8nH+VyLzKyGmdUBqgP7nHM/mdnIArLEFfB5j3UW8LFz7mBg3x+R991NOsFnuRRY6ZxbGJheBaQcZ7lq+eebWblArqcCsyKAFDOLIe8w7NOB+YeBV51z2wLrHQIyC8iPc24PcNtx5ueYWaaZVXTOHShofREpHippInJSLu/8p2+Bb81sGXADMBVw+Zczsz7knbPWwzl3yMy+BWIKsQsD3nDOPXjM9hoCB0+wXka+33PIK1RHtlcYE4ChQC1g3Emy3MUxn7cAJ9p3QZ+lI3kjf0e0J+/7PdZhjv4+WwML3C/np7Ujb/SyNbDQOZebb3svAphZXWCrc64wn+V4ooH0U1xXRIpA56SJyAmZWQsza5ZvVgdgE3knkV9hZvGB5aqSN6qzL1DQzgC6B9Y5QN7IGwVMfw0MPXLSuplVNbMGpxH7O2CgmcWYWQXg4gKWGwdcRV5RO3K7iYKyHO/zHu+zzAAuNbNyZlYeGAzMPEnePcAZge12I+/w6tJjF3LO7QPCAyNlAG04uty1C6zXFlhynPmQV9h+te3CCHz2Xc65rFNZX0SKRiNpInIyFYBnzawyeeeArQVGOOd2m9mjwHQzywEWAbcCt5nZUvLOgZoDeYfPzOx7M1sOfOGce+A4038GvrS8qx6zgDs5+WHS43LOzTezSeQVlU1AEpB6nOVWmFlFYMuRQ4HOuZXHy+Kcm3OczzusgM/2OjAvsJtXAodWG54g8lvAZ4FRys/JK20FXTjwJXmHVL8ir4zNzfdeG/JG0q46sv9AoYsNFDw4urAV1TmBfCJSAuzUR7xFREKXmVUInE9XjrzRrRH5zvkKWWZWj7xz3457Lzoz60jeBQHXl2yyn8+ve9A5t7qk9y1SFmkkTUT8arSZtSLvHK43SkNBCzjh4cjAqNw0Mwt3xXCvtMIysyhgogqaSMnRSJqIiIhICNKFAyIiIiIhSCVNREREJASppImIiIiEIJU0ERERkRCkkiYiIiISglTSREREREKQSpqIiIhICFJJExEREQlBKmkiIiIiIej/ARfYMsITwlPNAAAAAElFTkSuQmCC\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = subplots(figsize=(10,8))\n", "jupyter.plot1d(ai.integrate1d(I, 500), ax=ax, label=\"Synthetic\")\n", "ax.plot(*ai.integrate1d(Y, 500), label=\"Poissonian\")\n", "ax.legend()\n", "ax.semilogy()\n", "pass" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Selection of the log-space rebinning\n", "\n", "In this section we see how to switch to log-scale at the integration level (and revert back to q_nm^-1 for plotting).\n", "\n", "PyFAI does not like negative radial units. Hence log(q) has to be prohibited. I would recommend the $arcsinh$ functions which is a well behaved function from R -> R with a slope at the origin of 1 and a log-scale behaviour." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ ":4: RuntimeWarning: invalid value encountered in log1p\n", " ax.plot(x, numpy.log1p(x), label=\"log(1+x)\")\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "x = numpy.linspace(-10, 10, 1000)\n", "fig, ax = subplots(figsize=(10,8))\n", "ax.plot(x, numpy.arcsinh(x), label=\"arcsinh\")\n", "ax.plot(x, numpy.log1p(x), label=\"log(1+x)\")\n", "ax.legend()\n", "pass" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "WARNING:pyFAI.geometry:No fast path for space: log(1+q.nm)\n", "WARNING:pyFAI.geometry:No fast path for space: arcsinh(q.nm)\n", "WARNING:pyFAI.geometry:No fast path for space: arcsinh(q.A)\n" ] }, { "data": { "image/png": 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WvTfzVLZsWdq2bQtAtWrV2L17973PeXl5cenSpUeO+f3336dr16506tTpkX8jJycn6tWrh7+/PwDBwcGEhITg4uLCuXPnaNOmDQB6vb5AZ8dAApkoJBaenji2aoVjq1YAqFlZ6C5dIu3YcdJOnCBl1657mwYsPD2xrVMbu9p1sG9QH6uyZSWgCSGKDhNnsgqKmrNu19TXAWxtbdHpdI/se/DgwffWbf3XGjJT/31sbW39wLHd/7pGo7n3u0ajITtnuQuATqfD1tb2kdcpV64cwcHB/Pzzzw+83sPGpdVqyc7ORlVVgoKCOHz48COvl1+koJQoEhRLS2yrVcN9yGBKfvsN5Q8dpMzmTXhPmIBd/fqknz5D5KefcqNzF641a87dd98lYf16su77rywhhHgaNWvWjJUrV6LX64mOjmbfvn3Uq1ePJk2asGbNGgwGA5GRkezZs+dem8qVK3Pt2rV8ufaKFSvQ6/WEh4f/bUYrv125coWqVaua9Nlx48YxdepfRx/+19/ov1SsWJHo6Oh7gSwrK4vz58/n7Qs8gsyQPcT5mPP88McPaBUtGkVjfNZo0KAx/q7563VLjSU2FjZYa62x0dpgbZHzrLXG2sIaWwtb7C3tcbB0wN7SHntLe+ws7NBqtIX9NYskRaPBulw5rMuVw/X5PgBkht0h7chhUg8dJmX/gXv10azKlsW+YUPsGzXErl49tA4OhTl0IYR4rLp3787hw4epUaMGiqLwxRdf4O3tTc+ePdm5cydVq1alQoUK1K9fH2dnZwA6derEnj17aN26NQDvvPMOy5YtIy0tDX9/f4YOHcqECRNMuvauXbuoVq0aFSpUoHnz5vfe+/DDD6lTpw5du3bNl+958OBBPvroI5M+GxQURK1atTh58uS9cT7ob/Rft0CtrKxYvXo1I0eOJDExkezsbEaPHk1QUFC+fJcHUR42jVfU1alTRz1+/HiB9X884jiTj07GoBrQq3oMquHeQ6/qMRj+ej1Dn0GGPgO9qjfrGvaW9jhbOeNk7XTv2cnKCWdrZ1ysXfCw9cDLzgtPW0887TxxsHSQ23UYTx3IuHKF1EOHST18mLRjx1B1OtBqsa1WDftGjbBv1BDbGjXkgHUhRL67ePEilStXLuxhPFJKSgoODg7ExsZSr149Dh48iLe3N+np6bRs2ZKDBw+i1ebfxMCgQYPo3Lnzv3ZZ5tWpU6f4+uuvWbx4cb72W5Ae9L8RRVFOqKpa50Gflxmyh6jjXYc1XdeY1SbLkEWmPhNdto4MfQY6vY6M7AzSs9NJzUq990jJSiE1K5XkzGSSMpNIykgiMTORGwk3SMxMJDEjkSxD1r/6t7WwxcPW415A++ezl60XHnYeOFo6PtHBTdFosKlUCZtKlXAfMhhDZibpp06TevgQqYcPEzN7NjHffYfG0RH7Jo1xaN4ch2bNsHBzK+yhCyHEY9O5c2cSEhLIzMzkgw8+wNvbGzCuIZs4cSJ37tyhVKlShTzKR4uJieGTTz4p7GEUKJkhK6JUVSUtO43otGii06P/9hyVHkVMesy911KzUv/V3kZrg4etBz4OPvg5+OHv4I+fo/HZ39Efdxv3Jzqw6ZOSSD18hJS9e0nZtw99TAwoCjbVqxnDWfPm2FSp8kT/DYQQBae4zJA9iUaMGMHBgwf/9tqoUaMeWTT2cTN3hkwC2RMgLSuN6PRootKMQe3P58i0SCJSI7iTfIeo9Ki/tbG1sL0X1AKcAwh0DiTQOZAyzmVwtnYupG9SMFSDwXiKwN49pOzdh+7sWVBVLDw9cWjRHIdWrbBv2BDNfTtthBDiYSSQiUeRW5ZPITtLO0pblqa0U+n//IwuW8fdlLuEpYQRlhzGnZQ7hCWHcTvlNofuHiLTkHnvs242bvcCWqBTIGVcyhDoHIiPvQ8apfhtzFU0GmyrBmFbNQjPESPIjo0lZd9+UvbuJWnLrySsWo3Gzg775s1wbN0ah+bNZWOAEEKIx0oC2VPCxsKGMi5lKONS5l/v6Q167qbe5WbizXuPG4k32H5rO4kZiX/1obUhwDmAci7lqOBagYquFangVgEPW4/H+VXyzMLdHZfu3XDp3g1DZiZpR46QvH0Hybt2kfzrVrC0xL5BAxxbt8ax1TNYeBSv7yeEEKL4kVuW4qHidHF/C2k3Em9wNf4qUWl/3QJ1t3GnoltFKrpWpKJbRYLcgyjlVKrYzaapej3pp0+TvGMnyTt2kHX7NigKtjVr4ti2DU7t22OZsyBWCPF0k1uW4lFkDZl4LOJ18VyJv8KV+CtcjrvMlfgrXEu4dm9nqIOlA1Xcq1DFvQpB7kEEuQfh7+hfbBbRq6pKxpUrxpmzHTvIyKlVY1unNk4dOuDUrp3MnAnxFJNAJh5FApkoNFmGLG4k3OBC7AXOx57nfMx5LsdfvhfSHK0cqeJeheoe1Qn2CqaGZ41is4Eg4+ZNkn79laQtW8i8dh00Guzq18OpY0ec2rRB6+JS2EMUQjxGT2IgO378OD/99BMzZ878z8+EhITQuXNnzp0798D3R48eTY8ePe4d3F3QoqOjGTBgAFu3bv3Pz+zZs4eWLVuycePGeweOd+7cmbfeeosWLVoU2NhkUb8oNJYaS+OtS7eKdC/fHYAsfRbXEq4ZA1pOSFtwbsG9ArqBzoEEewZT06smNbxqEOAUUCRvdVoHBuL52mt4vvYauitX7oWziA8+JGLix9g3aohTx444tmqF1tGxsIcrhBCA8VBsUwu/1qlThzp1HpgVTBIXF8eRI0eYPn16rvswl6enJz4+Phw8eJDGjRv/5+f8/f2ZNGnSvUBWFEkgEwXKUmtJZffKVHavTC+MlZvTstI4H3ue01GnOR19mp2hO1l3bR0AztbO1PCsQbBnMLVK1KKaRzWstFaF+RX+xaZCBWwqVMBz5Eh0Fy6Q/OuvJG35lfD/vUeElRUOLVrg3O1ZHJo0QbEqWmMXQuS/z49+zqW4Bx/Bk1uV3Crxbr13H/m5bt26cfv2bXQ6HaNGjeLll1/GwcGBsWPHsm3bNr766itu3LjB1KlTURSF6tWrs3jxYlatWsXEiRPRarU4Ozuzb98+9uzZw9SpU9m8eTMTJkwgNDSUGzduEBoayujRoxk5ciRgDHnDhg3j0KFD+Pn5sWHDBmxtbVm9ejXt27e/N7atW7cyevRoPDw8qFWrFjdu3GDz5s1/G/+ePXuYMGECHh4enDt3jtq1a7NkyRIURSEgIIAXXniB3bt3k5WVxZw5c3jvvfe4du0ab7/9Nq+88sq9v8HSpUsfGshq1KhBVlYW27dvp02bNn97b+fOnbz11ltkZ2dTt25dvv/+e6ytrQkICODFF19k06ZNZGVlsWrVKipVqkRqaipvvPEGZ8+eJTs7mwkTJvDss8+a/M/2v0ggE4+dnaUddb3rUte7LgAG1UBIUghnos5wOvo0p6NOsy9sH2Dc2VnDqwb1vOtR17suVd2rYqktGkchKYqCbVAQtkFBeL75JrozZ0jcsoWkzb+Q/NtvaF1dcerUCednn8WmalCxWT8nhCg+FixYgJubG+np6dStW5eePXuSmppK1apV+fjjjzl//jyTJk3i4MGDeHh4EBcXB8DHH3/Mtm3b8PPzIyEh4YF9X7p0id27d5OcnEzFihV59dVXAbh69SrLly9n7ty59O7dmzVr1tC/f38OHjx478gknU7HsGHD2LVrF+XKlaNPnz7/+R1OnTrF+fPn8fX1pXHjxhw8eJAmTZoAULJkSQ4fPsyYMWMYNGgQBw8eRKfTERQUdC+Q1alTh/Hjxz/ybzV+/HjGjx//t0Cm0+kYNGgQO3fupEKFCgwcOJDvv/+e0aNHA+Dh4cHJkyf57rvvmDp1KvPmzWPSpEk888wzLFiwgISEBOrVq0fr1q2xt7d/5BgeRgKZKHQaRUMZ5zKUcS5z71Zngi6BE1EnOBZxjGMRx5h1ahZgLGgb7Bl8L9AFeQRhqSn8gKYoCrbBwdgGB1Pi7bdJOXiQxA0bSPj5Z+KXLMGqbFmcn30W5y6dsfTxKezhCiHykSkzWQVl5syZrFtnvMNw+/Ztrl69ilarpWfPngDs2rWLXr164ZGzCckt5/i4xo0bM2jQIHr37k2PHj0e2HenTp2wtrbG2toaLy8vIiMjAQgMDCQ4OBiA2rVrExISAkB4eDienp6AMcwFBgZSvnx5APr378+cOXMeeJ169erh7+8PQHBwMCEhIfcC2Z8Hk1erVo2UlBQcHR1xdHTExsaGhIQEXFxc8PLy4u7du4/8WzVt2hSA/fv333vt8uXLBAYGUqFCBQBefPFFvv3223uB7M+/Te3atVm7di0Av/32Gxs3bmTq1KmAMdSFhobmeU2hBLKHiTgH59aARguKNudZY3z87TUtWFiBhS1Y5jwsbMDSDixtcn62Nf5u7QSaordGqqhxsXGhValWtCrVCjDu6jwRaQxoRyOOMvOUcdGprYUtdb3r0si3EY18GxHgFFDoM1GKpSWOLVrg2KIF+qQkkrZuJXH9BqK//proadOwa1Af52efxaltWzR2doU6ViFE8bVnzx527NjB4cOHsbOzo0WLFuh0OmxsbO6tG1NV9YH/Tpw9eza///47v/zyC8HBwZw+ffpfn7G+7/QSrVZLdnb2A19PT08HjOdj6nS6e++Z+u/i/7rO/e9pNJq/fU6j0dz7nE6nw9bW1qRrjRs3jkmTJmFhYYw/j9rY+Oc17x+XqqqsWbOGihUrmnRNU0kge5iYK3BoJhj0QH7tRlXA2tEYzGycwMb57z/buICdO9h7GB929z1bPL3rkVxtXGldujWtS7cGjPXRjkcc52jEUQ7fPXzvFqevvS8NfRvSyLcR9X3qF/ouTq2TE669e+PauzeZoaEkbthI4oYNhP/vPSI/nYRT5064PPcctkFBhTpOIUTxk5iYiKurK3Z2dly6dIkjR4786zOtWrWie/fujBkzBnd3d+Li4nBzc+P69evUr1+f+vXrs2nTJm7fvp3n8VSuXJlr167RokULKlWqxM2bN7l+/Tply5Zl+fLlee7/v1y5coWqVaua9Nm2bdvywQcf3JtRq1SpEiEhIVy7do1y5cqxePFimjdv/tA+2rVrx6xZs5g1axaKonDq1Clq1qyZ5+8hgexhqvYwPgBU1RjMVAOo+pyf9X+9lp0B2TrISoMsHWSn3/f85yMNdEmgS4SMnGddIqREGMPfn7/n7ED8F2unnLDmCY4lwLkkOPmBs7/xZ2d/43tPwQycm40bbQPa0jagLQC3k29z+O5hDt09xLaQbay5ugaNoqGqR1Ua+zammX8zqrhXKdQdnFalSuH5xut4vD6C9OPHSVi9msR160lYsRKbKlVw6f0cTp07y7FNQgiTtG/fntmzZ1O9enUqVqxIgwYN/vWZoKAgxo0bR/PmzdFqtdSsWZNFixbx9ttvc/XqVVRVpVWrVtSoUYO9e/fmaTydOnXihx9+YOjQodjY2DBnzhw6deqEh4cHTZo0uVcq4/jx48yePZt58+bl6Xp/2r17N506dTL58+PGjbu3CN/GxoaFCxfy3HPP3VvU/+fatP/ywQcfMHr0aKpXr46qqgQEBPxrs0JuSB2yosZgAF0CpMVCajSkxkBaDKTG5jzHGF9PjoDEMMhK/Xt7jSU4+/0V0P4Z2Jz9jDN0T7AsQxbnYs5x6O4hDt09xLmYcxhUAx62HjTzb0Yz/2Y09GmInWXh3y7UJyaSuGkzCatWkXH5MoqtLU4dOuDyXC9sg4ML/farEOLBnsQ6ZPmhSZMmbN68GZd/1Ga8fwdnfmvWrBkbNmzA1dU13/vOC6lDVtxpNGDnZnx4lH/4Z1XVGN4Swx78uLkfksP/PeNm4wzOpcC9LHhUyHmUB/dyYF38Z2csNZbU9KpJTa+ajAgeQYIugf139rMvbB/bQ7az9upaLDWW1POuR/OSzWnu3xxfB99CGavW2Rm3/v1w7fcCurNnSVi1isRftpC4di3W5cvh8txzOHftKoVnhRDFwldffUVoaOi/AllBiY6OZuzYsUUujOWGzJA96fTZxlui/wxrCbcg9hrEhxhvuf7JyS8nnJX/K6h5VAAnX3gCZmuyDFmcijzF3rC97AvbR0hSCADlXMrRsmRLWpduTWW3yoU6M6VPSSVpyy8krFqN7uxZFCsrnDp2xLVfP2yrmbZOQghRsGSGrOjZtm0b77779x2vgYGB93ahPm5ydJIwT3YGxN0wrmGLuZrzyPk5M/mvz1nag0c5YzjzqgwlqoF3VXD0KdZBLSQxhL1he9kbtpcTkScwqAb8HPxoVaoVrUu3poZnjUJdd6a7dIn4lStJ3LARNS0Nm+rVcX2hL04dOqC5b8eREOLxkkAmHkUCmcgfqgopkTnh7B9hLfG+3Ti2blAiCLyrQYmqxmevylBEireaI14Xz57be9gRuoPDdw+TZcjCw9bDOHNWqjV1feoWWs0zfXIyies3EL9sGZk3b6J1dcWlVy9cn++DpZ9foYxJiKeZBDLxKBLIRMHTJULkeWOdtsizxp8jLxh3lAJorY3BzDcYfGsaHx4VQVt8liymZKaw/85+dtzawf47+0nPTsfJyonWpVvTPqA9db3rYqF5/N9HVVXSjhwhbulSUnbtBsChZUtcX+iLfcOGKE/BDlshigIJZOJRJJCJwmHQG299hp+Bu6fg7mnjz3/e9rSwzQlpNaFkPePDuWSxuN2py9Zx6O4hfrv1G7tDd5OWnYabjRttSrehfUB7apWoVSi3NbPu3iV+5c8krFqFPi4Oq8BA3F58Eednu6IxsUiiECJ3JJCJR5FAJooOgwHirv8V0O6egvDTxnpsAI6+UKo+lMx5eFcr8rc6ddk69t/Zz9abW9kXtg+dXoeXnRdtS7elfWB7qntUf+wbAgyZmSRv3Urcjz+hO38erYsLri/0xbVvXyxyjjERQuQvCWTiUYptIFMURQN8AjgBx1VV/fFRbSSQFUP6bIg8B7ePwu0jxuc/16RZ2oFf7ZwZtAZQsi7YFt2tzGlZaey5vYetIVs5cOcAWYYsSjqWpHOZznQp04WSTiUf63hUVSX9+HFiF/1Iyq5dKBYWOHXtgtuLL2KTc06bECJ/PImB7Pjx4/z000/MnDnzPz8TEhJC586d7xV5/afRo0fTo0cPmjVrZta1p02bxnvvvUdkZCTOzsYTVs6ePctXX33FokWL/rPdokWLGDJkCKdPn6Z69eoAVK1alc2bNxMQEGDWGPJbkapDpijKAqAzEKWqatX7Xm8PzAC0wDxVVacAzwJ+QBwQVpDjEoVIa5GztiwY6r9sfC3xDtz+/a/Hgel/1U7zrASlG0NgUwhoajxGqoiws7SjY5mOdCzTkaTMJHaF7mLzjc3MPjOb7898T02vmnQu05l2Ae0eyxFOiqJgV7cudnXrknHzJvGLF5Owdh2Ja9Zi36QJboMGYd+4kRSbFeIpotfr751r+Sh16tShTp0HZgWTxMXFceTIEaZPn2522+XLl1O3bl3WrVvHoEGDAOOB4mFhYYSGhlKqVKn/bOvv78+kSZNYuXJlLkdeNBToDJmiKM2AFOCnPwOZoiha4ArQBmPwOgb0BboC8aqq/qAoympVVXs9qn+ZIXtCZabCnZPGGbTQ3yH0MGSmGN8rURUCmxnDWelGYOtSqEN9kIjUCH658Qubrm/ieuJ1LDWWtCjZgi5lutDErwmWj/G2bHZ8PAkrfyZu6RL00TFYly+P26BBOHXpjMbq6T0bVYi8un/2I+Kzz8i4eClf+7euXAnv999/5Oe6devG7du30el0jBo1ipdffhkHBwfGjh3Ltm3b+Oqrr7hx4wZTp05FURSqV6/O4sWLWbVqFRMnTkSr1eLs7My+ffv+Vk1/woQJhIaGcuPGDUJDQxk9ejQjR44kJCSEDh060KRJEw4dOoSfnx8bNmzA1taWOXPmcPfuXSZMmADA1q1bGT16NB4eHtSqVYsbN248sFL/9evX6dKlC99//z2fffYZ27Ztu/fejBkzyMjI4J133nng91+0aBFHjx5l37599w78vn+GbPny5Xz22WeoqkqnTp34/PPPAXBwcGDUqFFs3rwZW1tbNmzYQIkSJYiOjuaVV14hNDQUgOnTp9O4cWNz//EBRWyGTFXVfYqiBPzj5XrANVVVb+QMbgXG2bHbQGbOZ/7jMMfHb92pMDSKglajoFUUNDnPWs1fP2s0YG2hwdpCi42lFhtLTc6zFhsLDRZa2flmFit744xYYFPj7/os4xq0m3vh5j44vgCOfAeKBnyCjQEtsCmUagRWhX8ckre9Ny9Ve4khVYdwMe4im65vYsvNLWy/tR0Xaxc6BHagW7luVHGvUuBjsXB1xeOV4bgNGUzSL1uIW7iQ8HHjiJo2zXhCwAsvoHVyKvBxCCEKxoIFC3BzcyM9PZ26devSs2dPUlNTqVq1Kh9//DHnz59n0qRJHDx4EA8PD+Li4gD4+OOP2bZtG35+fiQkJDyw70uXLrF7926Sk5OpWLEir776KgBXr15l+fLlzJ07l969e7NmzRr69+/PwYMH6dXLOJei0+kYNmwYu3btoly5cvTp0+c/v8Py5cvp27cvTZs25fLly0RFReHl5QUYZ+2mTJnyn4EMQKPR8M477/DZZ5/x449/rXa6e/cu7777LidOnMDV1ZW2bduyfv16unXrRmpqKg0aNGDSpEm88847zJ07l/HjxzNq1CjGjBlDkyZNCA0NpV27dly8eNGsfya5VRh1CPwwhq8/hQH1Md7CnKUoSlNg3381VhTlZeBl4KFTmPnBYFAZs/JMnvux1CrYWGixs9biZGOJk60lTjYWONpY4mRrcd9rljjaWOBka4mLrSXuDlZ4OFhjY2nadPMTS2tpXE9Wsi40e8t4aPud48ZwdnMfHP4GDk43ltso3QjKtYbybYxFbAvx9pyiKFRxr0IV9yqMrTOWw3cPs+n6JtZcWcPyS8up5FaJHuV70DGwY4Hf0tRYWeHSvRvO3Z4l7fBhYhcuInr6DGLnzsP1hb64vfgiFh5F53awEMWJKTNZBWXmzJn3KtHfvn2bq1evotVq6dmzJwC7du2iV69eeOT837ebmxsAjRs3ZtCgQfTu3ZsePXo8sO9OnTphbW2NtbU1Xl5eREZGAsbq98HBwQDUrl2bkJAQAMLDw/HM2Uh06dIlAgMDKV/eeARg//79mTNnzgOvs2LFCtatW4dGo6FHjx6sWrWKESNGAODl5cXdu3cf+Xd44YUXmDRpEjdv3rz32rFjx2jRosW9MfXr1499+/bRrVs3rKys6Ny5873vsH37dgB27NjBhQsX7vWRlJREcnIyjo4FfwZ0YQSyB/1/SFVV1TTgpUc1VlV1DjAHjLcs83lsf6MosPutFugNKgZVRW9Q//az8Rn0BpVMvQFdlh5dlp6MLAPpOT/rsgzosvWkZ+pJy8wmWZdNki6LmJRMbsSkGn9PzyLb8N9fxdHaAg9Ha9ztjQHNwzHn2cEaT0drfJxt8Ha2wcPeGo3mKVgfZGkDAU2Mj5bvG29xhh6G67vh6nb4bZzx4VwKyrUyBrQyzQv1UHVLjeW9g82TMpP49cavrLm6hs9+/4yvjn9F69Kt6VGuB3W86xRoCQ1FUbBv1Aj7Ro3QXbxI7Ny5xM5fQNxPi3Hp2QO3IS9h5S+FZoUoDvbs2cOOHTs4fPgwdnZ2tGjRAp1Oh42Nzb11Y6qqPnDd6OzZs/n999/55ZdfCA4O5vTp0//6jPV9p4FotVqys7Mf+Hp6urEGpa2tLTqd7t57pqxX/eOPP7h69Spt2rQBIDMzkzJlytwLZDqdDlsTyvhYWFjw5ptv3rslCcbv/l8sLS3vje/+72YwGDh8+LBJ18xvhRHIwoD7t5/5A4+Ov4VAURQCPewL/DqqqpKepScp3RjWknVZxKdmEZOSkfPIvPfztegUjtzMICEt61/9WGk1lHC2xsfZFl9nG3xcbPFxtsHX2ZaSbnaUcrPD1uoJnG2zsjeGrnKtod0kSAiFazvh2g44uwpOLASNBZRq+NfnSgQV2uyZk5UTfSr1oU+lPlyMvcjaq2v55cYv/HLjF0o6lqR7ue48W+5ZvOy8CnQcNpUr4/f113iODCF2/nziV60mfuXPOHfujPuwoViXK1eg1xdC5E1iYiKurq7Y2dlx6dIljhw58q/PtGrViu7duzNmzBjc3d2Ji4vDzc2N69evU79+ferXr8+mTZu4ffv2A65gnsqVK3Pt2jVatGhBpUqVuHnzJtevX6ds2bIsX778gW2WL1/OhAkTeO+99+69FhgYyK1btyhdujRXrlyhalXTzvAdNGgQX3zxBcnJxvqX9evXZ9SoUcTExODq6sry5ct54403HtpH27Zt+eabb3j77bcBOH369L3ZwIJWGIHsGFBeUZRA4A7wPPBCIYyjyFAUBTsrC+ysLPB2tjGpTWa2gbjUTKKSdYQn6ohI1HE3MZ3wBOPPx2/FE3k2nCz93/8LwcvRmtLudpRys6e0u13Oz3aUdrfH1c7yydiB51IK6gw2PrIzjTs3r+0whrQdHxkfziWhYkeo1NG4i7OQ6p9Vdq/MOPdxvFnnTbbf2s7aq2uZeWom357+lpYlW9K7Ym8a+DQo0H8uVgEB+HzyCR4jRhC3cBHxP/9M4oYNOLZpjfvLL2NbrVqBXVsIkXvt27dn9uzZVK9enYoVK9KgQYN/fSYoKIhx48bRvHlztFotNWvWZNGiRbz99ttcvXoVVVVp1aoVNWrUYO/evXkaT6dOnfjhhx8YOnQoNjY2zJkzh06dOuHh4UGTJk3ulco4fvw4s2fPZt68eaxYsYJff/31b/10796dFStW8O6777J79246depk0vWtrKwYOXIko0aNAsDHx4fJkyfTsmVLVFWlY8eOPPvssw/tY+bMmYwYMYLq1auTnZ1Ns2bNmD17di7+GuYr6F2Wy4EWgAcQCXykqup8RVE6AtMxlr1YoKrqpNz0L7ssH85gUIlJyeBOQjqhcWmExqZx695zKpFJGX/7vIudJeU8HSjn5UDZnOdyXg74udg+ObdCk8Lh2na4/Ctc3wXZOrBxhvJtjQGtXGuwKdxF7qFJoay+spp119aRkJFAgFMAvSv2pmvZro+lfEZ2fDzxi5cQt2QJhqQk7Bs1wuP117GrVbPAry1EcfEk1iHLD02aNGHz5s24uLj87fX7d3CaKiMjg+bNm3PgwAEsLIrP0Xt/KraFYXNDAlne6LL0hMalcSs2jVuxqVyPTuV6dArXo1KITc289zlrCw1lcgJaxRIOVPZxopKPE77ONsV7Ri0zDW7shku/wJWtkBYLGkvjrs1KHaFSF3AsUWjDy9Bn8FvIb6y8vJIz0Wew0drQsUxHelfsTZB7UIFfX5+SSsLKFcTOX4A+Lg77Rg3xGDECu9q1C/zaQhR1Esge7Pfff8fW1vZekdY/5SaQXb16lTt37tCiRYt8HuXjIYFM5Iv41EyuR6dwLcr4uB6dwtWoFMLi0+99xsnGgko+TlT2drwX0ip5OxbPXaEGvfHW5qVf4PIW47mcKMbbmUHdoHLXQg1nF2MvsvLySrbc3EJ6djrVPKrRp2If2gW0w8bCtNvcuWVISyN+xUpi589HHxuLXcMGeI4YgV0eCkgKUdxJIHu8Fi5cyIwZM/72WuPGjfn2228LaUSPJoFMFKiUjGwuRyRxMTyZi+FJXIpI5lJ4EqmZxtJxWo1CeS8Hqvs7U83fhep+zlQsbiFNVSHqIlxYD+fXQ8xliko4S85MZuP1jay8vJKbiTdxtname7nu9K3UF18H3wK9tiE9/a9gFhODXYMGeI54Dbu6dQv0ukIURRLIxKNIIBOPncGgEhafzoXwJM7fTeSPsETO3kkkLue2p4VGoaK3ozGk+blQo6QzFUs4Fp+CuVEXjcHswnqIvoQxnDWCoO6FFs5UVeVYxDFWXl7JztCdqKi0LtWaAVUGEOwVXKDXNqSnE79yJbHzcoJZ/fp4vvG6zJiJp8rFixepVKlS8V62IQqMqqpcunRJApkofKqqcjdRx9mwhHsB7Y+wRBLTjeU67K20BJdyoXYpV2oHuFGzlAtONoWz09Es/xXOqvWCKt3Azu2xDykiNYJll5ax+spqkjOTqe5Rnf5V+tO6dGssNQX3NzWkp5Pw88/EzJuHPjoG+6ZN8Rw1CtuqBb++TYjCdvPmTRwdHXF3d5dQJv5GVVViY2NJTk4mMDDwb+9JIBNFgqqq3I5L59TteE7eiuf4rXguhidhUI0lwSp4OVI7wNUY0kq7Utrdrmj/iy7qkjGYnVsDMVeMGwLKt4Xqz0GF9mD5eAsLpmWlseH6BpZcWEJocije9t70rdSXnuV7FujuTEN6OvHLlhE7Zy76xEQc27XDc+QbWJctW2DXFKKwZWVlERYW9rdCqEL8ycbGBn9/fywt//4fxRLIRJGVmpHNmdsJHL8Vz4lb8ZwMjSdZZ6yY7OFgTf0ybjQs406DMu6U9bQvmgFNVSH8jLEI7dnVkBIB1k7G25nVnzMehK55fGvoDKqBfWH7WHxhMUcjjmJrYcuzZZ+lf5X+lHYqXWDX1ScnE7dwEXGLFmHQ6XDu2hWP10dg5e9fYNcUQojiRAKZKDYMBpVr0SkcD4nnWEgch6/HEpFk/C9QT0drGpRxp0FOSAv0KIIBzaA3nq95dhVc2AiZyeDoAzWeh+B+4FH+sQ7nUtwlFl9YzJabW9Ab9LQs2ZLBVQcX6Dqz7Lg4YufOI37pUlRVxfW553B/ZTiWXgV78oAQQhR1EshEsaWqKrdi0zhyI5bDN2I5fD2WqGRjQdsSTsaA1rS8J03Le1DCqWDLP5gtK91YgPbMCuNJAaoe/OtBzX7GDQE2BV/k9U8x6TEsv7ScFZdWkJSZRC2vWrxU7SWa+jUtsFCbFRFBzPezSVizBsXCArf+/XAfOhTtPwpGCiHE00ICmXhiqKpKSGwah6/HcuRGLIeuxxKTYgxolbwdaVbBGM7qBrgVrVIbyRHwx0o4tdRYRsPCFip3geAXILA5aB7PjtO0rDTWXl3Ljxd+JCI1gnIu5RhcdTAdAjsU2AaAzNBQor/5hqRNm9E4OuIxfDiu/fuhue+AYiGEeBpIIBNPLINB5WJEEvuvxrDvSjTHQ+LJ1BuwsdRQP9CdpuU9aF7Bk3JeDkXj9qaqwp2TcHopnFsNukTjuZo1B0DN/uDs91iGkWXIYuvNrSw8v5Cr8VfxtvdmYJWB9CzfEztLuwK5pu7yFaK+mkrqvv1Y+PrgNXo0Tp07ozymMCqEEIVNApl4aqRlZvP7jTj2Xolm39VobkSnAuDjbEPLSl60ruxFo7IeRWP2LEsHl3+Bk4uNRzgpGijfDmoPMp6pqS34s9tUVWX/nf0sPLeQ45HHcbF2YWCVgfSt1BcHK4cCuWbq4cNEfvklGRcuYl2lMiXefhv7hg0L5FpCCFGUSCATT62w+DT2X41h7+Vo9l+NJjVTj42lhiblPGhVuQTPVPIqGmvP4m7CqcVwagmkRIKTn3HWrNYAcH48uxTPRJ9hzh9z2Be2D0crR/pX7k+/yv0KpGSGajCQ9MsvRE2bRvbdcOybNsXrrbewqVgh368lhBBFhQQyIYCMbD2/34hj58VIdlyM4k6C8VzOan7OPFPJi3ZB3lT2cSzcW5v6LONB5ycWwbWdxgJt5dpAnSFQvs1jKZ9xIfYCc/6Yw87Qndhb2vN8xecZGDQQN5v8L3pryMggfslSYn74AUNyMs7du+M58g0svb3z/VpCCFHYJJAJ8Q+qqnIlMoUdFyPZdSmKk6HxqCqUcrOjfVVv2gV5U7OkCxpNIYaz+FvGGbNTiyE5HFxKQd2hxpmzx3AiwJX4K8z9Yy7bQrZhY2HDcxWeY1DQIDztPPP9WvqEBGJm/0D80qWg1eL24ou4DxuK1qFgbpsKIURhkEAmxCPEpGSw40IkW89HcPBaDFl6FS9Ha9oFedO+qjf1A90K7+xNfRZc+gWOzoVbB8DCBqr2gnpDwbdmgV/+RuIN5v0xjy03t6BVtPSs0JMhVYfgbZ//s1iZYWFET5tO0i+/oPXwwGvMaJy7d5eF/0KIJ4IEMiHMkJiexe5LUWw9F8GeK1Hosgy42FnSpnIJOlbzoUl5DywLK5xFXoBjc+HMSshKBf+6UHcYBHUDi4ItI3E76Tbzzs1j47WNoED3ct15ufrLBRLM0s+eJXLSZ6SfPo1NUBAlxr2PXa1a+X4dIYR4nCSQCZFL6Zl69l6JZtv5CHZcjCRZl42LnSUdqvrQpYYP9QPd0RbGbU1dIpxebgxnsdfAzgNqv2i8penkW6CXvptylwXnFrDm6ho0aOhTqQ9Dqw3N9zVmqqqStPkXoqZOJTsyEqdOnfB6+y1ZXyaEKLYkkAmRDzKy9ey/EsOmP+6y/UIkaZl6PB2t6VTNhy41fKlVyuXxbwgwGODmHuPtzMu/gsYCqvWChq+Dd9UCvfSdlDvMPjObjdc3Yq21ZkCVAbwY9CJOVk75eh1DWhqx8+YRO38BaDS4DxuK+5AhaGyKwO5YIYQwgwQyIfJZeqaenZci2XTmLrsvR5OZbcDPxZYuNXx5NtiXyj75G0pMEncTjnxv3ASQlQZlWkKj16FsK+NuzQJyI/EG353+jm0h23CycmJw1cG8UOmFfC8wmxl2h6ipU0neuhULXx9KvPMOju3aFY2Cv0IIYQIJZEIUoCRdFtvPR7Lpj7vsvxqD3qBS2ceJnrX86Brsi5fjY57JSYuDEwvh9zmQEgFeVYwzZtV6Feg6s4uxF/nm9DfsC9uHu407w6oP47kKz2GltcrX66QePUrkZ5PJuHQJ2zq18X7/fWyqVMnXawghREGQQCbEYxKXmsnmP+6y5kQYZ8IS0WoUmpX3oEctf9pUKfF4TwjIzoBza+DQLIi6AA4loN7LxppmBVg243TUaWaemsmxiGP42Pvwao1X6VK2Cxaa/Dt5QNXrSVi9hujp09EnJODSqxeeY0Zj4Vbw5UCEECK3JJAJUQiuRSWz9uQd1p26Q3iiDkcbCzpX96FHLX/qlHZ9fLfaVBWu7zIGsxu7wdLOeG5mg1fBrUwBXVLlSPgRZp6cybnYcwQ4BfBa8Gu0C2iHRsm/Har6pCRivv2OuKVL0djb4zVmDC69n5MyGUKIIkkCmRCFSG9QOXIjljUnwvj1XATpWXpKudnRs5Y/z9Xxx9fF9vENJuIcHP4Wzq4CQzZU7gyNx4B/7QK5nKqq7L69m1mnZnEt4RoVXCswsuZImvk3y9dAmnHtGhEff0La0aPYVK+O90cfYhsUlG/9CyFEfpBAJkQRkZqRzdZzEaw5Gcah67FoFGhR0Yvn65akZSWvx1ffLCkcjv4AxxcYS2gENoemb0JgswLZAKA36NkaspXvTn9HaHIodUrU4a06bxHkkX+hyVgmYzORn3+BPi4O17598Rw1Eq1TIWywEEKIB5BAJkQRFBqbxsrjoaw6HkZUcgZejtb0qu3P83VLUco9f3co/qeMZDi+EA5/YzzU3K+OMZhVaA8FcNsvy5DF2itr+e7Md8Tp4uhcpjMja47Ex8En366hT0oieuYs4pctQ+vmRol338Gpc2fZjSmEKHQSyIQowrL1BnZfjmbF0VB2X47CoELjcu48X7cUbYNKYG3xGDYCZOng9FI4OB0SQo07M5uMhaDuoM2/xfh/SslMYf65+Sy+sBiAAVUG8FLVl3Cwyr+zK9PPnydi4sfo/vgDu3r18P7wA6zLlcu3/oUQwlwSyIQoJsIT01l1PIyVx25zJyEdN3sretbyo1/90gR42Bf8APTZxp2ZB76G6EvgGgBNxkCNF8Aif8tXAISnhDPz1Ew239iMm40br9V4jZ4VeubbjkzVYCBh1Wqivv4aQ2oq7oMH4fHqq2jsHtMMpBBC3EcCmRDFjN6gcuBaDCuOhrL9QiTZBpUWFT0Z2LA0LSp4oSno45oMBri8BfZ/BXdPgnNJaDoWgvsXSDA7H3ueqcemcjzyOIHOgYytPZbm/s3z7TZjdlwcUVO/InHtWix8ffB+/30cWrWS25hCiMdKApkQxVhkko5lv4ey/GgoUckZlHKzo3+DUvSuUxIXu/wPR3+jqnB9J+yZAmHHjMGsyRhj2Yx8LjKrqip7bu/h6xNfE5IUQj3verxZ502quOdf0de0kyeJmDCRjCtXcGjenBIfjMfK3z/f+hdCiIeRQCbEEyBLb2Db+Qh+OnSLoyFxWFtoeDbYl4ENA6jq51ywF/+zltmeKRB2FJz8oekYqDkg34NZliGL1VdW8/3p74nPiKdLmS6MrDUSb/v8OVRczcoibulSYmbOQlVVvEaPwrV/fxTtYyzaK4R4KkkgE+IJczE8icVHbrHu5B3Ss/TUKuXCi40C6FDVByuLAiydoarG4rJ7psDt38HJzzhjVmtgvgez5Mxk5p2dx5ILS1AUhYFVBjK02tB8OyMzKzyciAkTSdm7F5sa1fH55BNsKlTIl76FEOJBJJAJ8YRKTM9izYkwFh+5xc2YVLydbHixUQAv1CuFs51lwV1YVeHGnpxgdsR4K7P5u1Cjb77vyrybcpcZJ2ew5eYWvGy9GFNnDJ0CO+XL+i9j7bJfiPzsM/QpKXi8/DLuw19GY1XAt4KFEE8lCWRCPOEMBpW9V6OZv/8mB67FYGelpXedkrzUJJCSbgW4o/DPYLbrE7hzAtzLQcv3oUr3fK9jdjrqNJOPTuZC7AWCPYP5X/3/EeSeP4Vls+PiiJw8haRNm7AqVxbfTz/FNjg4X/oWQog/SSAT4ily4W4S8w7cYNOZu+gNKu2CvBnatAy1S7sW3EVV1bgrc9enxoPMS1SDVh9A+bb5WvnfoBrYcG0D009OJ14XT4/yPXij5hu427rnS/8pe/cSPmEi2RERuA7oj9eoUWjsH0O5ESHEU0ECmRBPocgkHT8eCmHp76EkpmdRs5QLw5qWoV2QN9qCKpth0BvrmO2eBPEhULI+tPoQAprk62WSM5OZfWY2yy4uw9bClldqvELfyn2x1OT9Nq0+JZXor78mftkyLP388P54Ig6NG+fDqIUQTzsJZEI8xVIzsll9Ioz5B24SGpdGSTdbhjQO5Lk6JXGwzv8q/ADos+DUYtj7BSSHQ9ln4JkPwK9Wvl7mRuINvjj6BQfvHqScSznGNxhP7RL5c1B62okThI//gMybN3Hu1o0S/3sXrYtLvvQthHg6SSATQqA3qGy/EMm8/Tc4fiseJxsLBjYMYHDjANwd8neH5D1Z6XBsHuz/GtLjoHIXaDUBPPLvCCNVVdl9ezdTjk4hPDWcrmW7Mrb22Hy5jWnIyCDmu++JnTcPrYsL3h+Mx7FdOykoK4TIFQlkQoi/ORUaz5x9N9h6PgIbCy1965Xi5WZl8Ha2KZgL6pLgyHdwcCboM6D2YOOuTAfPfLtEWlYac8/OZdH5Rdha2DKq5ih6VeiFVpP3+mK6ixcJHzce3YULOLRuhfcHH2JZwisfRi2EeJpIIBNCPNC1qGS+23OdDafvolUUetb259XmZSnlXkA7M1OijKUyTiwCSztoMgoajACr/LvejcQbfHbkM36P+J0g9yDGNxhPVY+qee5Xzc4m7scfiZ45C8XKCq933salVy+ZLRNCmEwCmRDioW7HpTF773VWHQ9Dr6p0reHLay3KUr6EY8FcMPoK7JwIlzaDo4+xVEZwP8iH2Sww3sb89eavfHn8S2LTY+ldsTdv1HwDZ+u8n2iQGRJC+AcfknbsGHYNG+D72WdY+vjkw6iFEE86CWRCCJNEJumYt/8GS38PJS1TT/sgb0a0LEc1/wI6munWYdj+gfGcTK8q0HoilG+Tb6UykjOT+e70dyy7tAwXaxfG1h5L17Jd8zyrpRoMJPy8isgvvkDRavEePw6nrnnvVwjxZJNAJoQwS3xqJgsP3mTRoRCSdNk0q+DJ6y3LUS/QLf8vpqpwYQPsmADxNyGwGbT5GHxr5tslLsVd4tMjn3Im+gy1vGoxvsF4yruWz3O/maGh3H3vfdJPnMCxTWu8J07Ewq0A/kZCiCeCBDIhRK4k67JYfOQW8/ffJDY1k7oBroxsVZ4m5TzyfzYoOxNOLIS9n0NarPEYplYfgVP+3A40qAbWX1vPtBPTSM5MZkCVAbwW/Bq2FrZ56lfV64lbtIjo6TPQODnh8/FEHFu1ypcxCyGeLBLIhBB5kp6pZ+WxUH7Yd4PwRB31AtwY27YCDcrkT4X8v9ElGstkHPkONJbQdCw0fB0s82cHaIIugeknp7Pm6hr8HPz4sOGHNPJtlOd+dZevcPd//yPj4kWcu3enxPvvoXUsoDV4QohiSQKZECJfZGTrWXnsNt/sukZUcgaNyrrzZtsK1C5dALfp4m7Abx8YF/67lII2n0CVZ/NtfdnxiONMPDyRkKQQupTpwtt138bVJm/HS6mZmUR/9x2xc+Zi4V0C388mY9+gfr6MVwhR/EkgE0LkK12WnqW/h/L9nmvEpGTSrIInY9tUILikS/5f7MZe2PoeRJ2H0o2h/RTwqZ4vXWfoM5jzxxwWnF2Ao5Ujb9d9m85lOuf5dmz66dPcffd/ZN66hduLA/EcMwaNTQHVeBNCFBsSyIQQBSItM5ufDt/ih73XiU/LonVlL0a3rkBVv3zelanPhpM/Gg8vT4+HWgONRzHlU2HZq/FXmXB4An9E/0Fj38aMbzAef0f/PPVpSEsj6quviV+6FKsyZfD9fAq21arly3iFEMWTBDIhRIFKychm4YGbzN1/gyRdNu2DvBnTpgIVvfN5DVV6vPF8zKNzjIVlm78D9V8BbT4cKm7Qs/LySmacnIGKyojgEfSr3A8LTd7O+0w5eJDw98eRHRODxyuv4PHKcBTLvI9XCFH8SCATQjwWielZzD9wkwUHbpKamU3PWv6MaVMBP5e87WT8l+gr8Ns4uPobeFSEjl9Cmeb50nVEagSTjkxiT9geqrhXYULDCVR2r5ynPvVJSUROmkTiho3YBAXh+/kUrMvl33meQojiQQKZEOKxik/N5Ls91/jx0C1Q4MWGpXmtRTlc7a3y90KXf4Vf34WEWxDUHdpOAme/PHerqiq/3fqNyb9PJiEjgSFVh/BKjVew0uZt/EnbfiPio48wpKfj9e47uPbtK8VkhXiKSCATQhSKsPg0pm2/ytpTYThYW/Bqi7IMbhSIrVX+HJEEQFY6HJwBB6aBooXmbxvPx7TIe/hLzEhk6vGprL+2nrLOZfm0yad5PhczOzqau+PGkbpvPw4tWuAz6VMs3AugfIgQosiRQCaEKFSXIpL4Yutldl2KooSTNWNaV6BXbX8stJr8u0h8iHE35uUt4F4eOn4BZZ/Jl673h+1n4uGJRKdHMyhoEK8Fv4a11jrX/amqSvziJURNnYrGyQnfyZ/h0LRpvoxVCFF0SSATQhQJv9+IZcrWS5wKTaCspz1vt6tEu6AS+Xvb7spv8Os7xmOYKneFdp+BS8k8d5ucmcxXx79izdU1BDoH8knjT6jhWSNPfeouX+HuW2+RcfUqrgMH4PXmm2iscx/0hBBFmwQyIUSRoaoq285H8sW2S9yITqVmKRfe61A5f8/JzNLB4Vmw7ytjIdlmb0HDN/LlNuahO4f46PBHRKVFMbDKQEYEj8DGIvc1xgw6HVFTvyJ+yRKsK1TAd+qX2FSokOdxCiGKHglkQogiJ1tvYPWJMKbtuEJkUgatKnnxXsfKlPNyyL+LJIQab2Ne2gyelaHzNCjdMM/dpmSm8PWJr1l1ZRUBTgF83Phjanrl7TD0lL17ufv+OAzJyXi98w6u/V6QBf9CPGEkkAkhiqz0TD0LDt7k+z3X0WXp6d+gNKNalc/fHZmXt8KWtyDxNtQcAG0+Bru8z8gdCT/CRwc/Ijw1nH6V+zGy1sg8HVaeHRNjXPC/dx/2zZvhO3kyFm4FcCyVEKJQSCATQhR5MSkZfL39CiuOhuJoY8nIVuUZ0KA0Vhb5tPA/MxX2TIbD34GtK7SbBNX75PlszNSsVKadmMbKyysp5ViKz5p+lqe1ZaqqEr9kKVFffonW2RnfL7+U8zCFeEJIIBNCFBuXIpKY9MtF9l+NIdDDnvc7VqZ1Za/8u30XcRY2j4GwYxDYDDpNA4+8F2k9FnGM8QfGE5EWwUtVX+LVGq9imYcTBHSXLnFnzFgyQ0LwePUVPF57DcUib6cGCCEKlwQyIUSxoqoqey5H8+kvF7genUqjsu6M71SFKr5O+XMBgwFOLIQdEyE7HZqMhSZjwDJvB4CnZKbw+bHPWX9tPZXdKvNZk88o55r7sGdISyPi00kkrl2Lbe3a+H35BZa+vnkaoxCi8EggE0IUS1l6A8t+D2XajiskpmfRu3ZJ3mxXAS/HvAWne5IjYdv7cG61sXZZ11n5suh/V+guJh6eSEpmCiNrjWRAlQFolNzfek3ctImIjyaApSW+kz7FsXXrPI9RCPH4SSATQhRriWlZzNp1lR8Ph2Cl1TCqdXkGNw7EMr8Ky17bCZtHG3dl1h0KrT4Cm7zNxsWmxzLh8AT23N5DnRJ1mNRkEr4OuZ/dyrx1iztj30R3/jyu/frh9e47aKzy+SgqIUSBkkAmhHgi3IxJ5dPNF9h5KYpyXg5M7BpE43Ie+dN5RgrsngRHvgcnX2OJjArt8tSlqqqsv7aez499DsD79d+nS5kuuV4Pp2ZmEvXV18T9+CM2QUH4TZ+GVcm8F70VQjweEsiEEE+UnRcjmbjpAqFxaXSq5sO4TpXxdcl9uYm/uX0MNr4B0Reh2nPQfgrY5y303Um5w/v73+dk1EnalG7Dhw0+xMXGJdf9Je/cyd333gdVxXfyZ3ILU4hiQgKZEOKJo8vSM3ffDb7dcw0FhdefKcfQpoFYW+TDweXZmXDga9g3FawdocPnxnCWh52eeoOeHy/8yKxTs3C1duXjxh/TxK9JrvvLDAvjzugx6M6dw+3FF/F6cyyK3MIUokiTQCaEeGKFxafx6eaLbD0fQYC7HR91DaJlRa/86TzqonG2LOwYlGtjvI2Zx3MxL8Vd4r3973Et4RrPV3yesXXG5rqYrCEzk6gvviR+yRJsa9TAb9rXsgtTiCJMApkQ4om370o0Ezae50ZMKm2qlODDzlUo6WaX944Nejg6F3ZOBEVrLChba2CeZssy9BnMODmDxRcWU8a5DF82/5IKrrk/vzJp61bCx41HsbDA5/MpOLZokeu+hBAFRwKZEOKpkJltYP6Bm8zadRW9QeWV5mV5tUVZbCzz4TZm/C3YMAJC9htny7rONC7+z4NDdw8x7sA4kjKSeKfuO/Su2DvXC/4zQ0IIGzOWjIsXcR82DM9RI6WQrBBFjAQyIcRTJTwxnUm/XGTzH+H4u9ryYecqtKlSIu/V/g0GODYXtn8EFlbQ4Uuo3jtPs2Wx6bGMOziOg3cO0qpUKyY2moiztXPuhqfTEfnZZBJ+/hnbOrXx++orLEuUyPXYhBD5SwKZEOKpdOh6DB9tOM/VqBRaV/Zi4rNV8cuP3Zix12H9q3D7d6jU2bi2zCH369YMqoHFFxYz/eR0PGw9+Lzp59QqUSvX/SVu2kT4RxPQ2Njg++UXODRunOu+hBD5RwKZEOKplaU3sPDgTaZtv4qiwNg2FRjUKACLvBaVNejhyHew8xOwsofOX0NQ9zx1eT7mPG/ve5s7KXd4pcYrvFztZbSa3N1uzbhxgzujRpFx7Toer76Kx4jXULT5cOtWCJFrEsiEEE+923FpfLjhHLsvR1PVz4nJ3atTzT93twb/JvoyrHsF7p6EoB7QcSrYu+e6u5TMFD79/VN+ufELdUrUYXLTyXjbe+eqL0NaGhEff0Li+vXYN22K39Qv0Trnw3cWQuSKBDIhhMBYOX/L2QgmbDpPbEoGgxoFMrZtBRys87j4XZ8NB6fBns/B1hW6TIdKnfI0zo3XNzLp90lYaa34pNEntCzVMtf9xa/8mYhPP8XSx4eS336Ddfnyue5LCJF7EsiEEOI+ielZfLntEkt/D8XHyYaJz1alTZV8WPwecRbWvQqRZ6FGX2OVf1uXXHd3M/Em7+57l4txF3mh0guMrTMWa611rvpKO3mSsFGjUFPT8JkyGae2bXM9LiFE7kggE0KIBzhxK573157lcmQy7YJKMLFrVbydbfLWaXYm7PsS9n8FDiWg6ywon/ujjTL1mUw7MY0lF5dQya0SXzT7gkDnwFz1lRUZSdgbI9H98Qcer72Kx+uvo2jy6YB2IcQjSSATQoj/kKU3MHf/DWbsuIqlVsNbbSswoGEAWk0eS2TcOWnciRl9Ceq8BG0/BavcF6rde3sv4w+OJ0OfwXv13qNbuW65KuNhyMgg4uOPSVyzFocWLfD98gu0jo65HpcQwnQSyIQQ4hFCY9MYt/4s+6/GUKuUC18+V4Oyng556zRLB7s+gcPfgEcF6DEXfINz3V1kaiTvHXiPYxHH6BDYgQ8bfIiDlfljVFWV+GXLiJw8BauSJfH/9husy5TJ9biEEKaRQCaEECZQVZX1p+8wYeMFdFl63mpbkSFNAvM+W3Zjj3FtWWoUtBwHjUdBLstZ6A165p2dx/dnvsfH3ocvm39JVY+queor7dgxwkaNRs3IwPfLL3F8JvcbB4QQjyaBTAghzBCVpOP9defYcTGSmqVc+LJXDcp55XG2LC0ONo+BC+uhdBPoPjtPB5WfijrFu/veJTotmpG1RvJi0ItoFPPXg2WFhxP2+hvozp/HY+QbeLzyiqwrE6KASCATQggzqarKhtN3+WjjedKz9LzVtgIvNSmTt9kyVYUzy2HL28aDyjt/DdV65bq7xIxEJhyawI7QHbTwb8GkppNwsnIyux+DTkfERx+RuGEjDq1b4Tvlc7QO9rkelxDiwSSQCSFELkUl6xi37hzbL+TjbFncDVg7HMKOQrXe0Gkq2OSuYKuqqiy7tIypx6bibe/NtJbTqORWKVf9xC9eTOTnX2AVGEDJb77BKiAgV2MSQjzYwwKZzEsLIcRDeDnaMGdAbWY8H8zNmFQ6ztzPnH3X0Rvy8B+zbmVg8K/Q4j04twa+bwK3DuWqK0VR6Fe5HwvbLyTTkEn/Lf3ZcG1DrvpxGziQUvPnoY+J5eZzvUnZty9XYxJCmE8CmRBCPIKiKDwb7MdvY5rRvIInn225RK/Zh7gWlZL7TrUW0OJ/MGSbcYH/ok6w82PQZ+Wqu2CvYH7u/DM1PGsw/uB4JhyagC5bZ3Y/9g0aELB6NZZ+ftwe/goxc+ZSnO+kCFFcyC1LIYQwg6qqbDxjXFuWlqnnzTYVGNo0j2vLMpJh6//g1BLwrQk95oFHuVx1lW3I5ptT3zD/3HwquFbgq+ZfEeAcYHY/hvR0wseNJ2nLFhzbt8d30qdo7GVdmRB5IWvIhBAin0Ul6xi/7hy/XYgkuKQLU5/Lh7VlFzbCppGQnWE8pDz4BchF8VeAfWH7GHdgHJn6TCY0mkCHwA5m96GqKnELFhL11VdYlyuH/7ffYFUy9ztDhXjaFZs1ZIqi2CuKckJRlM6FPRYhhHgYL0cbfshZWxYSa1xb9sPePK4tq9IVXj0EfrVhw2uwbrhx9iwXmvk3Y1WXVVR0q8g7+97hi2NfkG3INqsPRVFwf2kIJefMISsykpu9niPl4MFcjUcI8XAFGsgURVmgKEqUoijn/vF6e0VRLiuKck1RlP/d99a7wM8FOSYhhMgvf64t2z6mOS0rejL510v0/P4Q16JyF6IAcPKFgRuMBWTProIfmsHdU7nqytvem/nt5vNCpRdYfGExw7cPJ04XZ3Y/Dk0aE7jqZyy9vLg97GVi5y+QdWVC5LMCvWWpKEozIAX4SVXVqjmvaYErQBsgDDgG9AV8AQ/ABohRVXXzo/qXW5ZCiKJCVVU2/RHORxvOkZqpZ2ybCgzL69qyW4dgzVBIiYI2H0ODV3N9C3PDtQ18fPhj3G3dmd5yOlXcq5jdhyE1lbvvjyN52zacOnXC59NP0Nja5mo8QjyNCu2Wpaqq+4B//udYPeCaqqo3VFXNBFYAzwItgQbAC8AwRclFyWkhhCgkiqLQtYYvv+XMlk3Jj9my0o3glQNQvg1sew+WPw+psbnq6tlyz/JTx59QURn460A2Xd9kdh8ae3v8pk/Dc8wYkrZsIeSFfmTduZOr8Qgh/q4wQo8fcPu+38MAP1VVx6mqOhpYBsxVVdXwoMaKorysKMpxRVGOR0dHF/xohRDCDJ6O1szuX5uZfWtyKzaVTjMP8NPhkNzf4rNzg+eXQYcv4PoumN0YQg7kqqsg9yBWdl5Jdc/qvH/gfaYcnUKWwbwyG4qi4DH8ZUrO/p6ssDBu9nqOtJMnczUeIcRfCiOQPWi+/d6/qVRVXfSw25Wqqs5RVbWOqqp1PD09C2SAQgiRF3/Olm0b04yGZd35cMN5hiw6RnRyRm47hPrDYegOsLSDH7vA7slg0JvdlZuNG3PazGFAlQEsvbiUYb8NIzbd/Fk3h+bNCfh5JVonJ0JfHETiJvNn3IQQfymMQBYG3L9v2h+4WwjjEEKIAuXlaMPCQXWZ2DWIQ9djaT99H7suRea+Q58aMHwvVO8De6cYg1mi+bcMLTQWvFP3HSY3ncy5mHP02dyHczHnHt3wH6wDAym9Yjm2NWpw9+13iJ45Sxb7C5FLhRHIjgHlFUUJVBTFCnge2FgI4xBCiAKnKAovNgpg0xtN8HS0Zsii43yw/hzpmebPbgFg7QjdZ0O32XD3tPEW5pXfctVV5zKdWdxhMVpFy4u/vsj6a+vN7sPC1ZVSC+bj3L07Md99x52xYzHozD8hQIinXUGXvVgOHAYqKooSpijKS6qqZgOvA9uAi8DPqqqeL8hxCCFEYatQwpENrzdmWNNAFh+5RedZ+zl3JzH3HQb3heH7wNkflj0Huz/L1S3Myu6VWdF5BTVL1OSDgx8w6cgkssw8vkmxssLns0l4vfUmyVu3cWvAQLIio8weixBPM6nUL4QQj9mBqzG8ueo0camZvNW2IsOalkGT2/IYWenwy5tweimUbQU95xk3Apgp25DNzJMzWXh+IbW8avFVi6/wsPUwu5/kXbu489bbaB0dKfn9d9hUMb+8hhBPqmJTqV8IIZ4GTcp7sHVUM1pVKsHkXy/Rb97v3E1Iz11nlrbw7LfQeTqE7IcfmsMd83c9WmgsGFtnLF80+4ILsRfos6kPf0T/YXY/js88Q8DyZaDRENJ/AMm7dpvdhxBPIwlkQghRCFztrfi+fy2+6FmdM2EJtJ++j1/+CM9dZ4oCdQbDkK2ACgvawYlFkIs7IB0CO7Ck4xIstZYM2jqItVfXmt2HTcWKBKxcgXWZMoSNGEHsokWy2F+IR5BAJoQQhURRFHrXLcmWkU0J9HRgxLKTvPnzGVIyzDtz8h6/2vDyXghoAptGwYbXjbc0zVTRrSIrO6+krnddPjr0EZ8c/sTsdWWWXl6UXvwTjq1bEzXlcyImTETNMq8PIZ4msoZMCCGKgCy9gVk7r/LN7mv4u9oxrU8wtUu75q4zgx72TIZ9X4J3dej9E7gFmt2N3qBn1qlZzD83n2DPYL5u8TWedubVf1QNBqKnzyB2zhzsGzXEb/p0tE5OZo9FiCfBw9aQSSATQogi5HhIHKNXniY8Uccbz5Tj9ZblsNDm8mbG5a2w7mXjzz3mQYW2uepmW8g2Pjj4AQ6WDnzd4muCvYLN7iNh7TrCP/oIq5IlKfnDbKxKlnx0IyGeMLKoXwghiok6AW5sGdWUrjV8mb7jKi/M+53wxFwu+K/Y3ngL07lUnkpjtAtox9KOS7GxsGHwtsFsvG5+6UiXHt0pvWA++thYQp7vS/rZs2b3IcSTTAKZEEIUMU42lkzrE8zXvWtw7k4iHWfsZ+fFXFb4dwuEodshuB/s/RyWPgdpcWZ3U961PMs7Lad2idqMOzCOWadmYXjwkcP/ya5uXUovX47GxoZbA18kebfswBTiTxLIhBCiiOpRy5/NbzTBx9mWl348zsebLpCRnYsK//lUGsPZ2pnvW39Pj/I9mPPHHN7d9y4ZevPO57QuE0jAiuU5OzBfJ37FSrPHIcSTSAKZEEIUYWU8HVj7WiMGNQpgwcGb9Pr+MCExqeZ39MDSGD+a3Y2lxpIJDScwtvZYtoZs5aVtL5l9OLmFpyelf/oR+6ZNiJgwgahp06UshnjqSSATQogizsZSy4SuQfwwoDahcWl0mrmfDafNP1Qc+EdpjJGwYYTZpTEURWFw1cFMazGNy3GX6belH9cTrpvVh8benpLffotL797E/vADd999FzUz06w+hHiSSCATQohiol2QN1tGNaWyjxOjVpzmndVnSMvMRc0ye3fotxqavQ2nlsD8thAfYnY3rUu3ZmH7hWToM+i/pT+H7h4yq71iYYH3xAl4jh5N0sZNhA4fjj452exxCPEkkEAmhBDFiJ+LLStebsCIlmVZdSKMrt8c5FJEkvkdabTwzHjouxISbhnXlV3dbnY3VT2qsqzjMnwcfHhtx2usurLKrPaKouDxynB8P59C2rHj3OrXn6yICLPHIURxJ4FMCCGKGQuthrfbVWLxkPokpGXx7DcH+fn47dx1dq80RknjDsx9U80+csnHwYef2v9EQ9+GfHz4Y6Yem4rezPIazs8+S6m5c8i6e5eQPs+ju3zZrPZCFHcSyIQQophqUt6DX0c1pXZpV95Z/Qfvrf0DXVYudmG6BcJLv0HVnrDrE/h5IGSkmNWFg5UDs56ZRd9Kffnxwo+M3TOWtKw0s/qwb9iQ0kuXAnCr7wsk79ljVnshijMJZEIIUYx5Olqz+KX6vNaiLMuP3qbX7EPcjjMvCAFgZQc950HbT+HSZpjXGmLNW6hvobHg/frv8796/2NP2B4GbR1EVFqUWX3YVKxAwM8rsQoIIOy1EcQtWWpWeyGKKwlkQghRzGk1Cu+0r8TcgXW4FZtG51kH2H3ZvCAEGEtjNHoD+q+FlEiY0zJX68r6Ve7HrGdmcSvpFn1/6culuEtmtbcsUYLSSxbj0LIlkZ9+SvS330pZDPHEk0AmhBBPiDZVSuQUkrVhyKJjzNhxFYMhF0GmbEt4eQ+4ljKuK9v/ldnrypr5N+OnDj+hoDDw14HsC9tnVnuNnR3+M6bj3K0bMbO+IerzLySUiSeaBDIhhHiClHa3Z91rjeke7Me0HVcY+tNxEtOyzO/ItTQMyVlXtvNjWDvM7HplFd0qsrzTcgKdA3lj1xssvbjUrFClWFjg89kkXPv3J27RIsI/+ABVn4s1ckIUAxLIhBDiCWNrpeWr3jX45Nkg9l+Npss3B7hwNxelMf5cV9bqQzi7ChZ1gmTzSlJ42nmysN1CWvi3YMrRKXz2+2dkG0yvnaZoNJQY9z7ur75C4uo13HnzLQxSQFY8gSSQCSHEE0hRFAY0DGDFyw3JyNbT/buDrD0ZlpuOoOmb0GcpRF0yriu7e8qsLuws7ZjWchqDgwaz4vIK3tj1BimZpu/iVBQFr1Gj8HrnHZK3buX28OHoU3JxfJQQRZgEMiGEeILVLu3K5jeaElzShbE/n+GD9efIzDaY31HlzvDSNmNB2QUd4Nxas5prFA1j64zlo4YfcfjuYQZuHUh4SrhZfbgPGYzPlMmkHT1G6MCBZMfEmNVeiKJMApkQQjzhPB2tWTq0Pi83K8PiI7foM+cwEYk68zvyrgbDdoNPDVg9GHZ/Bgbzwl2vCr34vvX3RKRE0PeXvpyLOWdWe5du3Sj5/Xdk3LxJyAv9yAwNNau9EEWVBDIhhHgKWGg1vN+xMt/1q8WViGQ6z9rP4eux5nfk4AkvboTgfrD3c1g9CDLNu33Y0LchSzouwcbChsFbB7P9lnmlNRyaNaP0ooUYkpII6fsC6efPm9VeiKJIApkQQjxFOlbzYcPrjXGytaT//N+Zs++6+eUkLKzh2W+NRWQvbIQF7SHRvPVpZVzKsLTjUiq6VWTsnrHMPzvfrHHY1qhB6WXL0Fhbc2vAQBI3bTbvOwhRxEggE0KIp0w5L0c2jGhM2yol+GzLJUYsO0lKhuk7H4G/isi+8DPE3TQu9r99zKwu3G3dmd9uPh0COjD95HQ+OfKJWTswrcsEUnr5cmwqV+bu228T9+OP5n0HIYoQCWRCCPEUcrSx5Lt+tXi/YyW2novg2W8OcC3KvPMrAajQFobuMJbIWNQJzqw0q7m11popzaYwtNpQVl1Zxajdo8w6A9OyhBelf1yEY9u2RE6eQvwK864vRFEhgUwIIZ5SiqLwcrOyLBlan4S0LJ795gC/njVv5yMAXpWMi/1L1oN1L8OeKWZV9tcoGkbVGsUHDT7gwJ0DDN42mJh003dQKhYW+E39EofmzYmYOJHY+Qukqr8odiSQCSHEU65RWQ82j2xC+RKOvLr0JJN/vYje3COX7NyMZ2DWeAH2TIb1r0K2eQVce1fszYyWM7iZeJMXfnmBK/FXTG6rWFnhN3MGju3bEfXll4SPG48qBWRFMSKBTAghBD7Otqwc3oAX6pfih703GLLomPlHLllYQbfvoOU4OLMclvSA9HizumhRsgUL2y9Eb9AzYMsADt05ZHJbjbU1fl9/jceIESSuXcvtN97AoMtFeQ8hCoEEMiGEEABYW2j5rHs1JnWvyqHrMXT77iBXI5PN60RRoPk70GMu3P4d5rUxLvo3Q5B7EMs6LaOkY0lG7BrB1pCtZlxewfON1/H+5GNS9+3n9stS1V8UDxLIhBBC/E2/+qVZNqwBybosun93iN/Om3d+JQDVe8OA9ZAaDfNam70Ds4R9CRa0X0B1j+q8s/cdfr78s1ntXZ97Dt8vvyTtxAlCXxqCPjHRrPZCPG4SyIQQQvxL3QA3Nr7ehEAPe15efIIZO65iMHddWUBj4w5Mawf4sTOcX29WcycrJ2a3mU1T/6Z8cuQT5v4x16zF+s6dO+E/cwYZFy5y68VBZMfmohCuEI+JBDIhhBAP5Otiy6pXGtKjph/TdlzhtaW5qFfmUR6G7jQet7TqRTg4w6wdmLYWtkxvOZ1OZTox89RMph6fikE1/bgmx1at8J/9PZkhIdzqP4Cs8FzsIhXiMZBAJoQQ4j/ZWGr5qncNxneqzG8XIujx3UFuxZq5JsveAwZuhKDusP1D2DwG9KYHO0uNJZ81+YwXKr3ATxd+4oODH5hVQNahcWNKzZtLdlQUIX2eJ/2cHLUkih4JZEIIIR5KURSGNi3DT0PqE5mUQbdvD3L0Zpx5nVjaQM8F0GQsnFgIy/uALsnk5hpFw//q/Y/Xgl9j4/WNjNkzBl226Tso7erUofSypWCh5Vb//iTv3Gne+IUoYCYFMkVR3Ap6IEIIIYq2JuU9WD+iMa52VvSbd4Q1J8w7vxKNBlp/BF1mwvXdsLCDWWdgKorCqzVe5b1677Hn9h5e3v4yCboEk9vbVKxI4M8/Y12hAmEjR5G07Tfzxi9EATJ1hux3RVFWKYrSUVEUpUBHJIQQosgK9LBn3WuNqRvgxpurzjB122XzF/vXfhH6r4aEUOMOzPAzZjV/ofILfNn8S87FnGPArwO4nXTb5LYWHh6UWrAA2+rVuTN2LElbTS+pIURBMjWQVQDmAAOAa4qifKYoSoWCG5YQQoiiytnOkh+H1OP5uiX5Zvc1XllygsR0M4vIln0GhmwDRQsLOsCVbWY1bx/Qnnlt5xGfEU//X/vzR/QfJrfVOthTcu5cbGvU4M6bb5H066/mjV2IAmBSIFONtquq2hcYCrwIHFUUZa+iKA0LdIRCCCGKHEuthsk9qvFB5yrsuhRFr+8PEZFoZlX8ElVg2E7jTszlz8PRuWY1r1WiFos7LMbWwpaXtr3E7+G/m9xW62BPyTlzsA0O5s5bb5P4yy/mjV2IfGbqGjJ3RVFGKYpyHHgLeAPwAN4ElhXg+IQQQhRRiqLwUpNAfnqpHuGJOrp+c4DjIWYu9nf0hsFboHw72PIWbH0fDHqTmwc6B7Kk4xL8Hf15fefrHIswvQCt1sGeUnN+wK5mTe6++RYxs3+QQ8lFoTH1luVhwAnopqpqJ1VV16qqmq2q6nFgdsENTwghRFHXqKwHq19tiL21BS/M/Z31p+6Y14GVPTy/FOq/Ake+hZ8HQqbppTU8bD2Y23Yuvg6+vLbjNbbf2m5yW429PSXnzcWpSxeip08neuZMCWWiUJgayMarqvqJqqr3tsMoivIcgKqqnxfIyIQQQhQblbydWP9aY2qVdmH0ytPM2HHVvGCj0UKHz6H953B5CyzqBMmRJjf3sPVgQbsFVHSryNg9Y1l4bqHpl7axwffzKTj36kns97OJ+eZb08ctRD4xNZD97wGvvZefAxFCCFG8OdtZ8tOQ+vSs5c+0HVcYs/I0uizTbz8C0OAVeH4ZRF827sCMvmxyU3dbd+a3m0/7gPZ8feJrpp+YbnIoVDQafD7+GOcePYj59luiv/1WZsrEY2XxsDcVRekAdAT8FEWZed9bToCZ52cIIYR40llZaJj6XHXKeNrz5bbLhMWn88OA2rg7WJveScUOxnVly/rAgnbQbw341zapqbXWmilNp+Bo5cj8c/NJyUrh/frvo1EePf+gaDT4fPoJqCoxs75BHxtHifHjUDRSQ10UvEf9r+wucBzQASfue2wE2hXs0IQQQhRHiqIwomU5vn2hFmfvJNLtu4NcjUw2rxPfmjBkK9g4w49djIVkTaTVaPmgwQcMrjqYlZdXMv7AeJOPWlI0GnwmfYrbkCHEL1tG9PQZ5o1biFxSTJmSVRTFQlXVIjcjVqdOHfX48eOFPQwhhBD/4fTtBIb+eJyMbD3f9atF0/Ke5nWQHAGLe0DMFeg5D4K6mdxUVVXmnZ3HzFMzeabkM3zZ/EustFYmt42YMJGElStxGzQIr7feRLF46E0lIR5JUZQTqqrWedB7D50hUxTl55wfTymK8sd9j7OKophehU8IIcRTKbikCxteb4yfiy2DFh5jyZFb5nXg6A2DfwG/2rBqEBw3fbG+oigMqz6M9+q9x67buxixcwRpWWkmt/X+YDyu/fsTt2gRt4e/gj4lxbyxC2GGh86QKYrio6pquKIopR/0vqqqZv5fVv6SGTIhhCgeUjKyeWPZSXZfjmZI40DGdaqMVmPGSXyZacZyGNe2Q6sPjYeUm3GS38brG/nw4IeUcynHrGdm4ePgY3LbhNWrCf9oAvYNGlBy9vcolpamj1uI++R6hkxV1fCcH2OA2zkBzBqogXF9mRBCCPFIDtYWzB1Yh0GNAlhw8CbDFx8nPdOMHZhWdtB3OVR7DnZ+DL+NB4PB5OZdy3bl21bfciflDn1/6cvlONN3b7r06oXPxxNJPXiQ8AkTZPelKBCmbh3ZB9goiuIH7AQGA4sKalBCCCGePBZaDRO6BvHxs0HsvBRF//m/k5CWaXoHWkvoPgfqvQyHv4F1wyHb9PaN/RqzpOMStBotL/32EhdiL5jc1qVnT9xffYXENWuJmjIF1YwwKIQpTA1kiqqqaUAPYJaqqt2BKgU3LCGEEE+qgQ0DjDswwxJ5bvZh7iakm95Yo4EOXxhvW579GZb2BF2iyc3LupRlUbtF2FnYMfS3oZyNPmtyW8+RI41ryn78ifBx41Gzi9xeN1GMmRzIcg4R7wf8eQKrbDcRQgiRKx2r+fDjkHpEJOro+f0hLkUkmd5YUaDpm9D9B7h1CBZ2hCTTV9GUdCrJovaLcLZyZtj2YZyKOmXiZRVKjHsfjxEjSFy3jjtjxmDIyDB93EI8hKmBbBTGyvzrVFU9ryhKGcD0ojBCCCHEPzQs686K4Q3QG1Se+/4wh67FmNdBjeeh3yqIv2UsIBt3w+Smvg6+LGq/CE9bT4ZvH27yoeSKouD5xuuUeP89krfv4O67/5M1ZSJfmBTIVFXdp6pq1z/PrVRV9YaqqiMLdmhCCCGedEG+zqwb0RgfFxteXHiUtSfDHt3ofmWfgUGbICMFFnSAqIsmNy1hX4KF7Rfia288lPzw3cMmt3UbOBCvt94keetWYr7/3rwxC/EAJgUyRVEqKIoyR1GU3xRF2fXno6AHJ4QQ4snn52LLqlcaUae0G2N/PsM3u8w8mNy3Jgz+1fjzwg5w54TJTT1sPVjQfgGlnErx+s7X2Re2z+S2bi+9hFOXLsTMnEXk51/IQn+RJ6beslwFnALGA2/f9xBCCCHyzNnWkh+H1KN7TT+m/naF99aeJUtvRsDxqmQ8asnaCX7sCld3mNzUzcaN+W3nU9alLKN2j2Jn6E6T2imKgu/nU3Dt14+4hQsJf+991Kws08csxH1MDWTZqqp+r6rqUVVVT/z5KNCRCSGEeKpYWWj4uncNXm9ZjhXHbjP0x+OkZJixk9EtEIZsMz4v6w3HF5jc1MXGhXnt5lHFrQpv7nmTjdc3mtRO0WgoMX4cnqNGkrhhA2Gvv4Eh3Yxdo0LkMDWQbVIU5TVFUXwURXH781GgIxNCCPHUURSFt9pV5LPu1ThwLYY+PxwmKklnegdOPjB4K5RrBZvHwIFppje1cmJO2znU8a7DuAPjWH5puclj9nj1VbwnTiRl/35Chw7DoDNjzEJg+uHiNx/wsqqqapn8H5Lp5OgkIYR4cu2+FMWIZSdxtbPip5fqUdbTwfTG+ixY9wqcW20skfHMByYftZSpz+StvW+x+/ZuPmz4Ic9VeM7kyyb9+it3xr6JwzPP4D9zBopWa/qYxRMv10cn/UlV1cAHPAo1jAkhhHiytazkxc/DG5KRree52Yf5IyzB9MZaS+gxB2q9CPu/gl/fMfmoJSutFV81/4qmfk355PAnrL6y2uTLOnXoQIlx40jZuZOICROkeKwwmam7LO0URRmvKMqcnN/LK4rSuWCHJoQQ4mlX1c+ZVa80ws5KS985Rzhw1YxaZRotdJkBDV+Ho3Ng4+ugNy0gWWotmdZyGo38GjHx8ES+OfWNyTs/3fr3w334cBJWrSZ0yEuypkyYxNQ1ZAuBTKBRzu9hwKcFMiIhhBDiPoEe9qx5tRH+rnYMWXSMLWfDTW+sKND2U2jxPpxeCqsHQ5ZpAclaa82sZ2bRvVx3fvjjBz4/9rnJocxrzGh8Jk8m7dgx40yZFI8Vj2BqICurquoXQBaAqqrpgGk344UQQog8KuFkw8/DG1Ld35kRy06y5Mgt0xsrCrR4F9pNhoubYFFnSI40qamlxpKJjSbSv3J/ll5cyoJzZuzc7N4Nj9dHkLhhI/FLl5k+XvFUMjWQZSqKYguoAIqilAXkAC8hhBCPjbOdJYtfqk/Lil6MX3+OmTvNLCDb8DXoswSiLsCCtpBo2qkAiqLwdt236RDYgeknp7P04lKTL+nx6qs4tGxJ5JQpJG7YYPpYxVPH1EA2AdgKlFQUZSmwE3i3oAYlhBBCPIitlZYfBtSmRy0/vt5+hYmbLmAwmBHKKneGFzdDWpxxpizxjknNNIqGTxt/SouSLZhydApfH/8ag/roTQKKRoPvl19gV7s2d9/9H9Hffiu3L8UDmbrL8jegBzAIWA7UUVVVDhcXQgjx2FlqNUztVYOhTQJZdCiE0StPo8vSm96Bf20YsA5SY2BRJ0i6a1IzK60V01tMp0/FPiw8v5DJv082KVxpHRwoNXcOzs8+S8ysb4idN8/0sYqnhqm7LHeqqhqrquovqqpuVlU1RlEU086WEEIIIfKZRqMwrlNl3mlfkY1n7tLt24NEJJpRjNW/zt9DWcJtk5ppNVrG1R/HwCoDWXF5BfPPzTepnWJlhc+UyTi2b0/0tOkkbjTtJADx9HhoIFMUxSanIr+Hoiiu91XpDwB8H8sIhRBCiAdQFIXXWpRj4eC6hMWn02/eEWJSzFjeXLIuDFhrDGXzWkP4HyZf9806b9KpTCdmnJzBiksrTG7nO+lT4+3Ld94l5vvvTR+reOI9aoZsOHACqJTz/OdjA/BtwQ5NCCGEeLSWFb1YMKgudxLS6T/vdzNDWT3j+ZcaLSzsCLePmdRMo2j4pNEntCjZgkm/TzJ5ob/G3p5SC+bj/GxXomfMJHa+aTNs4sn30ECmquoMVVUDgbdUVS1zX5X+GqqqfvOYxiiEEEI8VL1AN+YOrENIbCo9vjvE9egU0xuXqAJDd4CDJyzpCXdPm9TMUmvJ182/pnWp1kw5OoUfz/9oUjvF0hKfyZNx7NCeqKlfkbxblmQLE8+yBFAUpREQAFj8+Zqqqj8VzLBMI2dZCiGEuN+p0HiG/ngcvaoyd2Ad6ga4md444bZxliwjEfquhNINTWqWZcjivf3vsS1kG6NqjWJotaEmtTOkpXFrwEAyrl2j5Nw52NerZ/pYRbGU57MsFUVZDEwFmgB1cx4P7FAIIYQoLDVLubL2tUa42lnRb97vbDsfYXpjl5Iw+Bew94TF3eDKNpOaWWosmdJ0Ch0DOzLj5Axmn5ltUjuNnR0l583FsqQ/Ya+8SppMMDzVTJohUxTlIlBFLWLFU2SGTAghxIPEp2YyeNExzt5J5Mte1elRy9/0xqkxsKQHRF2Cfj9DmRYmNdMb9Hx46EM2Xt/I8OrDGRE8AkV59KE2WZFR3Bo4gKzQ23iOGonHK6+YPlZRrOR5hgw4B3jn35CEEEKIguNqb8XSofWpH+jG2J/PsPhwiOmN7T1gwHpwLwvLX4CQAyY102q0fNL4E3qU78EPf/zAjJMzTKpTZlnCi8A1a3Bs147oGTNJ/8O03Z7iyWJqIPMALiiKsk1RlI1/PgpyYEIIIURe2FtbsGBQXVpX9uKDDeeZs++66Y3t3IyhzNkPfuoGJ01bMq1RNHzU8CN6V+jN/HPz+er4VyYXj/X59BMsvLy4++7/0CclmT5W8USwePRHAOPRSUIIIUSxYmOp5fv+tRmz8jSfbblEsi6bsW0qmHQrEccS8NJ2WDUINr4B2RlQb9gjm2kUDeMbjEer0fLjhR9xtHJkeI3hj2yndXDA98svCH1pKLdfHo7v1KlY+fuZ8C3Fk8DkXZZFkawhE0IIYQq9QeX9tWdZefw2Hap680Wv6jjaWJrYOBt+HgCXfzUeTl65s0nNVFVl3IFxbLqxianNp9IuoJ1J7ZK2biN83DgUCwtKr1iOdWCgaeMURV6u15ApipKsKErSAx7JiqLIfKoQQohiQatRmNKzGv/rUIntFyIZtPAYqRnZJja2gJ7zwa82rHkJLm0xqZmiKExoNIFgz2DGHRjH8QjTJhCc2rcjcM1q0GoJfeklUo8cMW2colh7VGFYR1VVnR7wcFRV1elxDVIIIYTIK0VReKV5WWb2rcnp2wm89OMx0jNNPJTcyg5e+Bm8qsDK/nBqiWnNtFZMbzkdXwdfXtv5GkfDj5rWLiCAknPmoFhaEjrkJVJ/N62dKL5MXdQvhBBCPBE6VvPh6941+P1mHMN+Oo4uy8RQZu8OL26CMs1hwwiTF/q727qzoN0CfO19GbFzBIfvHjapnW3VIALXrMWqVCnuvvUW2XFxpo1TFEsSyIQQQjx1ng3248teNTh4PYaBC46SmJ5lWkNrB3h+OZRrDRtHwullJjXzsPVgQfsFlHQqyRu73uDgnYMmtdM62OM3fRr6xETuvvMuapaJ4xTFjgQyIYQQT6Vetf2Z8XxNToXG03v2YSISdaY1tLQxLu4v0wLWvwZnVprUzM3Gjflt5xPoHGhWKLOpVIkS779P6oED3OzTh6yoKNPGKYoVCWRCCCGeWl1r+LJocD3uJKTTZ85h7iSkm9bQ0haeXwYBTWD9K3B2tUnNXG1cmdd2HmVdyjJ692hORJ4wrd3zffCbOYPMmyHcGTsWNdvEDQmi2JBAJoQQ4qnWuJwHi1+qR1xqJn1+OMztuDTTGlrZwQsroVRDWPsynF9nUjNna2d+aPMDPg4+jNg5gvMx501q59S2LT4fTyT9+AluD39Fisc+YSSQCSGEeOrVLOXKsqENSErP4sWFR4lLzTStoZW9cfelf11Y/RKcW2NSMzcbN+a0mYOLtQvDdwznavxVk9o5d+mCz6efkHr0qHFNmcFg2jhFkVekApmiKN0URZmrKMoGRVHaFvZ4hBBCPD2q+Tszd2AdwuLS6ThjPyduxZvW0NoB+q+GkvWNoez4QpOaedt7M7ftXKw11ry8/WVCk0JNaufSqxcl3n2XlD17iFu4yLQxiiKvwAOZoigLFEWJUhTl3D9eb68oymVFUa4pivI/AFVV16uqOgwYBPQp6LEJIYQQ96tfxp3VrzbE2lLDoIVHuRRh4m1Ba0fov8a4+3LzaDg616RmJR1LMqftHPQGPUN/G0pEaoRJ7Vz7vYBj27ZEff01yTt3mnRepijaHscM2SKg/f0vKIqiBb4FOgBVgL6KolS57yPjc94XQgghHqvq/i4sHVofOystA+cf5VZsqmkNreyMC/0rdIAtb5lcPLasS1lmt5lNcmYyw34bRkx6zCPbKIqCz6RPsQoMIGzE60R+8qlpYxRFVoEHMlVV9wH/rGZXD7imquoNVVUzgRXAs4rR58CvqqqeLOixCSGEEA/i72rH4pfqk6k30PWbg+y/Gm1aQwsreG4RlGlpPJDcxDVlVdyr8H3r74lMi2T49uEkZiQ+so3W0ZHAtWtx7d+f+GXLiF+1yrQxiiKpsNaQ+QG37/s9LOe1N4DWQC9FUV55UENFUV5WFOW4oijHo6NN/D8QIYQQwkwVSjiyYURjfJxtGLLoGL+dN+12IpY2xpmykg2Muy8v/WJSs2CvYGa0nMHNxJu8uuNVUrMePTOnsbKixP/exb5RIyI+/IiENaYFQFH0FFYgUx7wmqqq6kxVVWurqvqKqqqzH9RQVdU5qqrWUVW1jqenZwEPUwghxNOstLs9K4c3JMjXmTeWn+JUqIkL/f8sieFTA1YNgms7TGrW0LchXzX/iguxFxj22zDidI8+LkmxsMD/22+wb9SI8HHjiV+xwrQxiiKlsAJZGFDyvt/9gbuFNBYhhBDiPznbWjL/xTqUcLJh6I/HCY01sU6ZjZNxob9HRVjRH0JMq8zfslRLpreczpX4Kwz8dSBhyWGPbKOxtcX/++9waN6ciE8+Je3kKdPGKIqMwgpkx4DyiqIEKopiBTwPbCyksQghhBAP5e5gzcLBdck2qPScfYgztxNMa2jrCgPWgUspWNYbwo6b1KxFyRbMazuPeF08w7cPJ0H36OtprKzwnfollj4+hI0aSfqZM6aNURQJj6PsxXLgMFBRUZQwRVFeUlU1G3gd2AZcBH5WVdW0UsVCCCFEISjr6cCqVxpibaGh9w+H2WbqmjIHTxi4Aew9YUkPCDctKAV7BfNNq28ITw1n7N6xZOkffbC41tGRkt9/h8bahluDBpNx86ZpYxSFTinOtUvq1KmjHj9u2n9tCCGEEPkhNiWDoT8d59ydROa9WJfmFUxcz5wQCgs7QmYKDFgPvsEmNdt0fRPvH3ifzmU682njT9FqtI9skxUZyc2uz2Lh7Y3X22/j0KSxaWMUBUpRlBOqqtZ50HtFqlK/EEIIUdS5O1jz45B6lPNy5I1lJ01fU+ZSCl7cBFYO8FNXuGPaweJdynZhZM2RbL6xmXEHx5FtePTB4pYlSuAzZTJZERHcHjqUlH37TBujKDQSyIQQQggzOdlYMmdAbQAGLvidOwnppjV0C4TBW8DGBRb3gMgLJjUbVn0Yo2qN4pcbvzDuwDj0Bv0j2zi2bEn5fXuxKl2ayMlTUDNNPJ9TFAoJZEIIIUQulHSzY+HgesSmZtJ79mFCYkys6O9SCl7cCJa2sLgbxN0wqdnQakMZVWsUW25uYfLRySYdl6SxtqbE+++RefMm0TNnmjY+USgkkAkhhBC5VLu0K8uHNSAtM5vnfjjMlchk0xq6BhjXkemz4KdnIfGOSc2GVhvKS1VfYuXllcw6NcukNg7Nm+PSpw+x8+aTsv+AaeMTj50EMiGEECIPqvo58/PwhihAnx8Oc+7Oo489AsCrEgxYC2nxxpmyFNNOnxlVaxTPVXiOuWfnsujcIpPalHjvf1iXL8/dd98lK8LE3aHisZJAJoQQQuRR+RKOrHqlIXZWFvSdc4QTtx5dYR8A35rGiv4Jt+HHzpD86LCkKArj6o+jfUB7vjrxFWuuPPq4JI2NDX7TvkbV6bg18EUJZUWQBDIhhBAiH5R2t2fVKw3xcLRm0MJjXIpIMq1hQGPot8oYyhZ1guTIRzbR/r+9+w6Pqsr/OP7+zqT3UAIhpNCUpXcQEBTQxbKK6Ir+ULFh2RXXxV7W3jt2xd5FsXdAARvSBKSKSAsQUiCk9/v7Y8ZIS2ZQkgnh83qePGTunDP3e0ee3Q/nnnuOy82dg+9kcNJgbp1zK1+u+9Jnn9D27Ul5/jkqs7PZfMWVOJW+HwyQ+qNAJiIisp+0igvn1fP7ExHi5tSnfuDrlZn+dWxzuOf2Zd5mePN0KPf91GawO5gHj3iQ7s27c/U3V/P9pu999gnv0YMWN9xA0fz5ZNx+u568bEAUyERERPajpLhw3rloIMlNIrjwlQXMX+fn7cuUATB6MmxaCO9dBFVVPruEB4Xz2PDHaBfbjstmXsaizEU++8SeNIomZ59N7htvkv7fiTh+nEfqngKZiIjIfpbcJIJXz+tPUnw4F726kMz8Ev86/u14OOpWWP4+fPAv8GO9sZiQGJ466ikSIhL414x/sWrbqlrbmxktrrmaFtdeQ8GMGWy9406cCt+LzUrdUiATERGpA/GRITx1Rm8KSsu5+NWF5JX43osSgIET4MjrYfEb8O54z9IYPjQLb8YzRz1DeFA4F067kA15G3zXd9ZZNBk3ju2vvcaao/9O1hNP+Fef1AkFMhERkTpyaMtoHjy1B0vScxnz9Bwy8/wYKTODoVfBiFtg6VR4+2yoKPXZrVVUKyYfNZkqp4oLpl3A1sLaHw4wM1pcew1JDz5AcHIy2Y88Sv5XX/t5ZbK/KZCJiIjUoWO7JvLcuL6szynk1Kd/8C+UAQy+DEbeAys/hrfOhArfE/DbxrXlyaOeJLc0lwunXcj2ku0++8Qceywpk58h9NBDybj1VqpKfYc/2f8UyEREROrYkEOa88p5/cnML+XM5+ayvdDPpxsHXATHPQirv4APJ4Af2yV1btqZR4c9SnpBOud8fo7PkTIACwmhxbXXUpGRQe6Ut/2rTfYrBTIREZF60Ds1nsln9WFtTiFjn/2RjB1+jpT1Pc8zp2zJmzDjFv+6tOzLkyOeZEvhFsZ9Po70/HSffSIH9Ceib1+yH3uMvM8+86822W8UyEREROrJoPbNeObM3qzPKeSkJ77zf0PyIVdCn3Ph24fgmwf86tK3ZV+e+/tz5Jflc8WsK6io8v0kZcubbyIoqRWb/juR3Pfe96822S8UyEREROrREYcmMOWiwygpr2Tssz+yo9iPpy/N4Nj7odsYmHEr/ODfE5FdmnXhxsNuZFnOMp5f+rzP9qHt2tHmrbeIGDCALTfeSOYDD2hJjHqiQCYiIlLPOreK5fmz+5KRV8I1U5dQUenH4qwuN5z4BPztBPjiOvjF93ZJAH9P+zsj00by5OInfa5RBmDBwbSe9DAxI0eSM/lZct97z6/zyF+jQCYiIhIAPVPiufaYjny2NIPxL8+nsNSPkSh3EJz0NLTsClPPh5w1fp3r+v7XExsSyxWzrmBH6Q7fp4mNpdW99xDasSPbXnoJx4+HCeSvUSATEREJkPMPb8udJ3Vl1i9ZjHnmB/9W9A+JgDGvekbMXh0NWb5HveLC4rh/6P2kF6QzceZEyv1YbNbMaHL2OMp+XcP211/353LkL1AgExERCaD/65/C5LP6sCazkDFPz6GozI+RsvhUGPs2lBXB5OGwerrPLn1a9uGWgbcwN2MuN/9ws1+jXrHHHUfk0CFsve12fh02nG0KZnVGgUxERCTAhv+tBc+O68Pa7EIemfGrf51a94ELvoYmafDm6bDuW59dTmh3Ahd3v5gP13zIvfPu9RnKLDiY5EcfpfnlEwlu1Yqtt97Gttde868+2ScKZCIiIg3AoPbNOKV3a56evYZ3F/peNwyA2NZw1ocQnwZv/B9sXeazy8XdL2bs38by6opXeWzRY75DWUgIzcaPJ+WlF4kceBjZjz5GVVGRf/WJ3xTIREREGojbTuzCgDZNmThlMXd9tsK/yfQRTeCMqZ65Za+eDLkba21uZlzV9ypGdxjNM0ue4erZV1NY7ns9NHO7aTZhApW5uWx/8y1/L0n8pEAmIiLSQISHuHnhnL78X/8Unp71G/d8voqqKj9CWVyKJ5SVFXlCWdG2Wpu7zMVNh93EpT0v5Yv1X3Dax6eRUZjh8zQRPXsSOWgQ2U89RUVOjr+XJX5QIBMREWlAwoLd3DGqC6f3S+apWWs48/kfKS6r9N2xRWc4/XXYvhZeH+MJZ7VwmYvx3cYz+ajJZBZlcvnMyymr9L3HZovrrqWqqIjN111HZX6+v5clPiiQiYiINDBmxh2junL7qC58vyaH69/72b/bl2mD4eRnIX0evH02+LG8Rb/Eftw++HaWZC/h3nn3+mwf2q4dLa65hsJvv2PDeedrjbL9RIFMRESkAXK5jDMGpHLZ8EN496dNfLBos38dO50Ixz0Aq7+A9y6ECt+jXkelHsU5nc/hrVVvMfWXqT7bNzljLC3/dwMlS5aQ8/QzZD3q++EAqZ0CmYiISAN2ybD29E6N54b3l/r/9GXf82DELbB0KrwxBkoLfHa5tNelDGo1iFvn3Mq09dN8to8dNQp3bCxZDz9M9uOPU7JkiX+1yV4pkImIiDRgbpfxyOk9ObRlNBOnLOajxX6OlA2+DE58HH6b5bl96WMEK8gVxINHPEi3Zt24avZVfL/5+1rbu8LCaPaviwnr3g0LDWXHBx/4V5fslQKZiIhIA5cUF86bFwygd2o8V09dwlcrt/rXsecZMPJu+HUaLPK9oGtEcASPj3ictrFtmThzIr9ur32R2ibjxtHmrbeIHjGCHZ98qkn+f4ECmYiIyAEg2O3iybG9aNMskvNems9nP2/xr2Pf8yF1MHx+HezY5LN5TEgMjw9/nPCgcC756hK2ldS+hAZAk3FnUVVYyKb/TqSqxI/9OGUPCmQiIiIHiISYMN6+6DB6Jsfxn7cW8VuW77lhuFxw4qNQVe6Z5O/Hk5ctI1vyyJGPkF2czaVfXUp+We0jX+HdupF4800Ufvsta08cRenatf5ekngpkImIiBxAIkKCeOrM3gS5jHs+X+nfGmVN2sLxD8O6b+CTy33OJwPo2rwrdx1+F8uyl3HeF+eRU1z7QrBxp5xCygvPU5mfz4ZzzqVs/Xo/r0hAgUxEROSAkxAdxgVD2vLFsq30vWM6Czds992p+xg4/HJY+BJ8/4hf5zkq9SgeGfYIa3esZdzn48guzq61feRhh5Hy/HM4JSWsG3Maue+8Q1WZ72U3RIFMRETkgDRhWAeeOqMX8ZHB/Pu1heQUlPrudOQN0PkkmHYj/Pi0X+c5vPXhPHP0M2wt3MplX19GaWXt5wnr2JG0t94kqFUiW274HxvPO1+bkftBgUxEROQA5HYZI7sk8uTY3uQUlnHZW4soKfdx+9LlgtGToePx8NlVMOcpv87VM6Endwy+g8VZi7np+5t8LgIbkppKm6lTSbzrLooWLGDrvb53ADjYKZCJiIgcwLokxXLbiZ35ZnU2xz7yDRk7fDzl6A6GU17whLLPr4av7/JrTtnRaUczoecEPvntE95c9abP9mZG3EmjiP3H8eR9+hmObl3WSoFMRETkADembwovn9uPjB0lTJyyiMoqHwErKAT++RL0GAuz7oZPr4SqKp/nGd91PANbDWTSwklkFmX6VVv0McdQlZdH4Q8/+NX+YKVAJiIi0ggMOaQ5N/2jE9+vyeHSN36irMJHwHIHeVbyHzgB5k2Gd8f73PfSzLi+//WUV5Zzz9x7/KorauBAXNHR5Dz/ghaOrYUCmYiISCMxpm8K1x/7Nz75eQvXv/ez7w2/zeDo2737Xr7jCWU++qTEpHBBtwv4cv2XzNw402dNFhJCwsT/UjR/PhvOO1+bkNdAgUxERKQRGT+kLZcO78DbC9J5evZv/nUafBkMvwmWvw8LXvDZ/Jwu59A+rj0TZ07k9RWv+wxZ8aefTuItN1OyZAkFM2b4V9NBRoFMRESkkfnviA78o3sr7v5sJee+OI9sf5bEGHQZtD3Ss8VS5spam4a4Q3jh7y9wWKvDuGvuXVz37XU+Q1nsqFGEpKaSNekRnHLfuwUcbBTIREREGhkz475TunHpsPZ8szqLB75c5buTywUnPQUhEfD6PyFnTa3N48LieHTYo4zvOp6Pf/uY9399v/aagoJIuPIKSlevJvupp3XrcjcKZCIiIo1QWLCbiUcfytj+qbw1byMrM/J8d4puCWPfhrJCeO5o2PxTrc1d5uKSnpfQK6EX9827z+eTl9EjRhBz7LFkP/446075JxXb/dhh4CChQCYiItKITRjWniaRIUx4/SeKyip8d0jqDed+CcER8PppUFx7aHKZi1sH3UpZVRm3/XCbz5GvxLvupOVNN1L6yy9sufY6HD+W2zgYKJCJiIg0Yk2jQnl4TE9+zSrgxg+W+depWXsY8woUZsGXN/hsnhqTyoSeE5iZPpMrZl3BjtIdNbZ1hYYSf/rpJFx5JQUzZ7Jh3NlkPvQwmy6/guKlftbXCAUFugARERGpW4M7NGPCke155KtfaRUXzn9HdMDMau/UqgcMuhS+fQi6nAzthtXa/MxOZ1JRVcFjPz3Gz9k/c9/Q++jevHuN7ePPPANXZASZ991P0fz5YIaFhBB+151/4goPfBohExEROQj8Z8QhnNK7NY/MWM1L36/zr9PQq6FpB8+ty08uh9yNNTZ1mYvzup7HK8e+gtvcnPv5uXy05qMa25sZcSefzCFzfqDj8mVE//1oCr/77qCd7K9AJiIichBwuzxPXh7eoRkPfPkL6duLfHcKDoez3ofup8GCl2DyMJ9zyro068Ibx71B94TuXPftdUxeMtnnacyMyIEDqcjMJH/6dCpycvy8qsZDgUxEROQgYWbcckJnqhyH4x/9lh9/8yP4xLaGEx6B86dBUTZMv8Vnl7iwOJ4e8TQj00by2KLHWLXN97IbUQMHArBpwqVsud73vLXGRoFMRETkINK2eRQfThhM08gQzn1xHos35vrXsVVP6H+xZyX/jXN9Ng92B3PDgBuIDonm3nn3+rwVGZyURNw//0lIu3YUzplDVakfi9k2IgpkIiIiB5l2zaN4ffwA4iNDGP/yfC5+dQELN/ixJtiR10JMEnx0mc+NyAFiQ2O5pMclzM2Yy/QN0322T7ztVhKuvAKnpISMG29k3ZjT2HrXXX5c0YFPgUxEROQg1CImjMln9aG0ooqvVmby79cWklvkI2SFRsOx90PmMvjmAb/Oc8ohp9AhvgP3z7ufkooSn+0j+/XDgoPZ8cGHlK5bx7aXXqZi2za/znUgUyATERE5SP0tMYZFNx7F2xcdRlZ+KQ9PX+27U8djoeup8M39sGWJz+ZBriCu7Xctmws389Tip3y2d0VEEDloEKGHHELSffcCULxoMYVzfqRg1qxGu5CsApmIiMhBzMzo1jqO0b2SeGPuBjLzfI9iccw9EN4Epp4PGUt9Nu/bsi8ntT+JF5e96NcE/6RHJpH29hQievcGl4utd93FhrPPZuOFF1Ewc5Y/l3XAUSATERER/n1keyqqHK5992cqq3ysBRbRBEY/A4WZ8PTh8NnV4GPk6vI+lxMbGsvN399MZVVlrW1dISG4QkNxRUYS2r495Rs3EnrIIVhEBIXffrOvl3ZAUCATERERUptGcvMJnZmxMpMxT//AmqyC2ju0OxImLIRe4+DHp+CnV2ptHhsayzX9rmFpzlIeXviw3wvAhnXrCkD82LFE9utHwXff+dXvQKNAJiIiIgCcOSCVe0/uxpqsAs5+YS7bCn1M8o9oAsc/BCkDYfrNUFT75PuRaSMZc+gYXlz2Ig8teMivUBZz9NGEde5MzHHHETloEOXrN1C2seYdAw5UCmQiIiJS7dS+yTx/dl+25pVy/CPfsGxzzRuFA2AGx90PJTtgRu2LxpoZ1/e/ntMOPY0Xlr3ADd/dwMb82sNV1JAhtJn6Du6oSKKGHA7Athdf2qdrOhAokImIiMgueqbE89YFAyitqOKBL3/x3aFFZ+h/kWd7pem3QEXNi7qaGdf1v47zu57Pp2s/5fj3jueq2VdRVO57K6eQ1FTizzqT7a+9RuGPvhenPZAokImIiMgeeqbE888+ycz6JYusfD9WzR/+P+h5Bnz7oGfPy21ra2xqZvyn13/4fPTnjOs0js/Xfs7NP9zs1y3MhIkTcUVHk/fxx/tyOQ2eApmIiIjs1Sm9k6iscrh66hJe+n4dm3KLa24cHA4nPganvwV5m+D5v0PGz7V+fovIFkzsM5EJPSfw2drPeHn5yz5rcoWFEdGrF0Xz5+/r5TRoCmQiIiKyV+0TovnP8A7MXbuNmz5cxugnvmNDjo9bi4eOhHO/AFcQvHAsbFns8zzndz2fESkjeHDBg/yw+Qef7SP69qFs7Vpy33mH4mXL/L2cBs38fey0IerTp48zv5ElZBERkYamrKKKFVvyOPO5H+mREs/L5/bz3WlHOjx7FIRGwYWzPSNotSgsL2TsJ2PJKcnhzePfJCkqqca2xYsWse600wEIadeOdp8cGLcvzWyB4zh99vaeRshERESkViFBLronx3Hh0HbM/iWLpZt8PHkJENsaRj0B2b/AtJt8No8MjmTSsElUVlVy2deXUVxR8+3RsM6dcUVFAWBu9x7vO5W1LzzbECmQiYiIiF/OPCyV6NAgHpzmx5OX4Fk8tv/FMPdpWPOVz+apMancPeRuVm1bxfXfXk9Z5d7XQbPgYNKmvEXUsGFUFey6gG3B7Nms6tOXsvR0v0p0ysvJnzmT8sxMv9rXFQUyERER8UtMWDCXDu/AVyszmTJ/o3+r7Y+4CZq2h08uh3Lf+2QOaT2Ey/tczrT10xj/5Xi2lex9sdnQtm0JSUujIju7ug7Hcch86GGc4mKKfvzRr2sq37qV9IsupnD2bL/a1xUFMhEREfHb2YPS6N46lqveWcJD01f77hAcDsfeB9t+g+8f9esc4zqP474h97EsZxmnfXwaLy17ifT8PUe8gpo2xSkrqx4ly//iS0pXrACgePESv85Vvnmz57MSE/1qX1cUyERERMRvwW4Xb180kKGHNOeNuRt4Y+4GZq7ycbuv3TDoNAq+uR+2r/frPCPbjOTFkS8SFxrH/fPv55h3j+GJRU/s0iaoWVMAKrKzqdi+nYzbbye0Y0ciBgygeLHvpzvhj0AW3KqVX+3rigKZiIiI7JOQIBejeyWRlV/Kte/+zM0fLvN9+/Lvd4K54d0Lal3Jf2ddmnVhyj+m8OnoTzki+QieX/o82cXZ1e+7mzYDoDInh6xJk6jcsYNW99xNRK9elK5eTVn6Jp91VWzZAkCwRshERETkQDOsYwIhbk+MWJdTxMINubV3iE3yLBy7cQ589B/Yh2W3kqOTuaLPFZRXlfPysj8Wjw1q7glkJStWsmPqu8SddBJhhx5KeI/uUFXFmhEjyP9yWq2fXb55M+6mTXGFhfldT11QIBMREZF9Fh0WzE0ndGLSaT0IC3bx5Mw1lFdW1d6py2g44lpY/AbMvn+fzpcak8rItJG8uepNcktyAc8cMoCsSZNwKitpev55AEQOHEjClVcCULah9luk5Zs2B/x2JSiQiYiIyJ80tn8qJ/ZI4rIRhzB9xVauf6/2rZIAGHo1dD0Vvr4dZt6zTyNl47uOp7iimNdWvgaAOz4ezKgqKCBy8CBCUlIAsKAgmpx7DhYcTNWO2tdMK9+ypUEEsqBAFyAiIiIHtouGtiNjRwmvzFlPeLCbdglRnHVY2t4bm8GoJ8Hlhpl3ehaObXsEtBkC8am1nqd9fHuGpwznteWvcU7nc4gIjqgOdNFHHbXbaQx3XBwVubk1fp7jOJRv2ULU0KH7cLV1QyNkIiIi8pddOLQtBrz0w3ru/mwlBaUVNTd2B8GJT8CAf8Oqz+DDS+CJAX49gTmu8zjyy/P5dO2nuxyPHjZsz9PExdY6Qla5fTtOSUmDGCFTIBMREZG/LDE2nP8d34kzBqRQVFbJ+z9tqr2DywUj74Rr0+GCWZ5jX1zn8zw9mvegQ3wHpqyaguM4hPfpTVDz5tXzyXbmjo2jcntujZ9Vvtn7hGWrwD5hCQpkIiIisp+MG5jGbSd2oVNiDP/7YClnPvcjs3/Jqr2TywWtesDQq2Dlx/DLl7U2NzNOPeRUVmxbwdLspaS+/DLtv5qx94+Oi6WythGyHbmAdy5agCmQiYiIyH5jZrx4Tl8mDOvAb1mFnP3CXN+jZeC5fdm0A3x2FZQV1dr0+LbHEx4Uzlur3sJcLiw4eK/t3HFxVNYyh6yqsBAAV2Sk7/rqmAKZiIiI7FcJMWFMPOoQpk0cQo/kOO74dIXvhWODQuD4B2H7Ovj86lqbRoVEcVzb4/h83efsKK15BMwd6xkhq+ncVQUKZCIiItLIRYQEMbZ/Kln5pSzbnOe7Q5shMPi/sPBl+PmdWpuOOXQMpZWlfPzbx7scX5K1hMqqSsAzQuaUleGU7H1Tc42QiYiIyEFh6KHNAfh6pY/9Ln935PWQ3N+zmv/6H2ps1rFJR9rFtmP6+unVx+ZlzGPsp2N5YdkLgGeEDKjxtmV1IIuK8q+2OqRAJiIiInWmWVQo3VvH8sL36/ybS+YOgpOfg8hm8OKx8NUdnuUwyov3aDo8dTgLMxeyrWQbAB+t+QiAZ5Y8w9bCrbhj4wBqnNhfVVgIwcG4QkL+3MXtRwpkIiIiUqfuOKkrSXHhXPXOEjbn7hms9hCXDBd+A93GwOx7YVI3uKOlZ2X/nYxIGUGVU8XMjTMprSxl2vpp9E/sT2VVJQ8tfAh3XBxQ2whZAe6IiL92cftJgwlkZhZpZi+Z2WQzGxvoekRERGT/6JIUy5Nn9MLB4bGvf/WvU1gMnPQUnPsFnPAYtBsG3zwA+Vurm3Rs0pGkqCSmr5/OrI2zKCgv4Nwu5zKu8zg++e0TVld51hmrzK15hKwhzB+DOg5kZva8mWWa2dLdjo80s1Vm9quZXeM9PBp4x3Gc8cAJdVmXiIiI1K/W8RGc1jeFKfM2snFb7cta7CJlAPQ6E457AKrK4ftHqt8yM4alDGPOljlM+WUKzcKb0b9lf87vej4JEQm8nP4eUPMty8rCwgYxfwzqfoTsRWDkzgfMzA08DhwDdAJON7NOQGtgo7dZZR3XJSIiIvXs30e2x+UyTn7ye85/aT5VVf5vLE6TttD1nzD/eSjMqT48ImUE5VXl/LjlR45pcwxul5uI4AgOSzyM5WUbAMiaNIncqVP3+MiqgoNkhMxxnNnAtt0O9wN+dRznN8dxyoA3gROBdDyhrM7rEhERkfrXMjaMy0Z0ICo0iOkrtvLRks379gGDJ3om9895ovpQ9+bdaRrm2TbpuLbHVR9PiUlhU0UW0aePwSkvJ3/GV3t83EFzy7IGSfwxEgaeIJYEvAucbGZPAh/V1NnMLjCz+WY2PyvLx3YMIiIi0qD864j2TJ84lM6tYrjr05Vk7Cjh1o+Wc9ErC3wvHpvQETqdAHOfgeJcANwuN6M7jKZnQk86NelU3TQlOgWAokv/j/BePSnP2LLHx1U1oFuWQQE4p+3lmOM4TiFwjq/OjuM8AzwD0KdPn30Y6xQREZGGwOUy7h7djdFPfsege76i0nvrcuGG7fRObVJ758OvgOUfwNzJMPRKAC7tdekezZJjkgHYmLeRTi0TKVny8x5tPCNkB+9TlulA8k6vWwP7OGYpIiIiB7KurWO5Y1RXjvpbC148py/hwW7eWeDHOmWJ3eCQkTDncSjNr7FZcrQnamzI30BwYksqt29n6933sPn666vbVBUU4Io4eG9ZzgM6mFkbMwsBTgM+DEAdIiIiEkCn9k3mqTN7c8ShCRzTpSUfL95MQWmF746HXwHF2z0T/GsQExJDfGi8N5AlArDtxRfZMfVdCmbPZu3ok6kqLOSjjOlcPbv2vTPrQ10ve/EG8ANwqJmlm9l5juNUAJcAXwArgCmO4yyryzpERESkYRs3MI380gr+9/5Snv3mt9obJ/eFtkfA949BVVXNzWKS2Zi3kaCWibscL160mJLlywHIJJ/woPC/Wv5fVtdPWZ7uOE6i4zjBjuO0dhznOe/xTx3HOcRxnHaO49xRlzWIiIhIw9c9OY7+bZrw3k+buP2TFWzN2/uG4NW6ngqFmZC9qsYmKdEprM9fT3Biy12OV+Zur/49x1VEYmTi7l3rnZaXEBERkQbhjpO6MrpnEgBfLt/Kpz9vobSihqVJk/t5/tw4t8bPS4lJIaMwg8pmcbscL9v0x1y14hBIjFIgExEREQGgfUIU95zSjfBgNzd9sJR/vbaQ4x/5lvLKvdyWbNoewuMhvZZA5l36YnNZFu5mzaqPl29Mr/69OBSNkImIiIjsLNjtomdKHFUOtG0eyerMAlZl5PPlsgxGPjybojLvpH8zaN0X0ufv+gHZq+HxATD7/upAtiFvA6FpadVNytN3CmQh0CqqVV1flk8KZCIiItKgDO7QjMgQN/ed0g2A+eu2cdsny1mZkc/8dX/M/6J1P8haWb1ILOnz4bmjIWsFLJlCSow3kOVvIOmhB0maNAkAp6ys+iPMXCREJNTLddVGgUxEREQalPGHt2X2VUfSKyWe+IhgJs1YzcZtxQDMW7fTjoyt+3j+3DQftq+Dl/4BYbHQ93zIXkVsaSExITFszN9IUPPmhKSlVncNTvWEtdLk5gS7guvr0moUiJX6RURERGoU7HbRNCoU8Dx9OXNVFv3SmlBSUcmPa3cKZEm9AYON8+Cn1zzHzv4YirbBvGfht1mkRKewIc+zybg7Jqa6a8zfR3J1pyXEODUvm1GfNEImIiIiDVbP5HgArhx5KP3SmrBoYy4l5d4nL8NiIKETLH4dlr0LAydAbGto0QUimsLaWSTHJLMhf89A5o6NZUvhlgbxhCUokImIiEgDdvagNF45rx9905ow/G8tKKuo4oNFO22xlNwXcjdAZAIM9O5p6XJBm6Hw20xSolPYUriF8spyLCIC3G4ALCaarYVbSQxrBr42Na8HCmQiIiLSYMWGB3N4h+YADGjbhE6JMTz7zVqqvBuSk9zf8+ew6yE06o+ObYdC/hZSCKbKqWJj/kbMrHqUrCAMKpwKEn+ZAU8Nrs9L2isFMhERETkgmBlnD0xjdWYBy7fksSGnCLqcDKe+DD3P3LVx2yMA6FGQS5AF8eKyFwFwxUQDsC20HIBWxfkQ2by+LqFGCmQiIiJywBjUwbPA61nPz2XIfV+zYUcldDoRXO5dG8anQXwaKemLGNd5HO/9+h7zMubhjokFIMtdCECrghyISarPS9grBTIRERE5YCTFhZMUF862Qs9aYum5RTU3TjkMNi3kwu4XkhSVxK0/3IpFe25rbnEXANAybyvEaGFYERERkX3SNy2++vdaNyFv2h4KMgivrOCGATewLm8d651sADaynfiQWCKqKhXIRERERPbVwPZ/7EuZsaO05obNOnj+zFnD4KTBDEsexvKy9RAczMbyrSSGeoOdblmKiIiI7JuTe7Vm+sQhRIUG7TFCVlFZxedLMzxPYTZt7zmY8ysA53U9jxmdKkkfM4gthRkkuiM878cEfi0yBTIRERE5oLhdRvuEaFrEhJKxY9dAdt8Xq7jo1QVMW7EVmrQFrDqQdWvejchevbmv4xrPorDm2bDojLfT+WTJlvq+jF0okImIiMgBqWVsGBneEbLMvBIufnUBL3y/DoClm3ZAcDjEJlcHMoCzO5/NlsItFFcU06qyiip3GN9uqvxj9f8AUSATERGRA1KLmLDqW5YzVmby2dIMyio8e1P+tCHX06hpO8heXd1naPJQ0mLSAGhVWkJJeAvASGsWUY+V70mBTERERA5ILWPCyMwvpbLKYeWWPKJCg/jtzmM5Y0AKizbmUlnleCb256yp3h7JZS7O7XIuAG2K8tgR7FkUNrVpZMCuAxTIRERE5ADVMjaMyiqHnIJSVmzJp2PLaFwuo2dyPAWlFUycsoji6DZQlg8FmdX9RrUfxYejPqRtXiaZ1pTIEDdNI0MCeCUKZCIiInKAap/gWeR13rrtrMjIo2OiZ1ukIzsmcFjbpnywaDPLyhI8jXP+uG1pZrSJToW8LaRXxJHaNBIzq/f6d6ZAJiIiIgek/m2akhAdyuNf/0p+SQUdW3o2Dm8SGcLDp/UAYIN5F33daWI/AEXZUFXOmpLYgM8fAwUyEREROUC5XcaJPVqxfEseAF2TYqvfaxoZghmsK48Hd+iegSxvEwAriqICPn8MICjQBYiIiIj8WeMGppGRV8rwjgl0T46rPh7kdtE0MpTMgnLvk5a7BzLPumPplU0YGBtWjxXvnQKZiIiIHLBax0fw6Ok99/peQnQomfmlnkCWuXLXN70jZBlOEyJCAh+HdMtSREREGqWEmFAy80ugaQfYvhbKi/94M28zjiuIbGKICHEHrkgvBTIRERFplJpHhZKZVwrth0NVBXw36Y838zZTFt4CBxdhCmQiIiIidSMhJpScwjIqUwZBl5Phmwc9i8QC5G2iNKIFAOHBCmQiIiIidSIh2rNw7LbCMjj6DnCHwKdXwtZlsH09RWGeQKZbliIiIiJ1JCE6FMAzjywmEYbdAGtmwJMDYccG8iJSgIYxQhb4xwpERERE6kBCjGc5i8y8Ujq3AvqNh4gm4AqCqASWbE2ExSsJbwAjZApkIiIi0iglxYUDkJ7rfbrS5YZup1a/X7h5HdAwRsh0y1JEREQapYToUELcLtK3FwHw/ZpsKiqrqt8vLq8EaBAjZApkIiIi0ii5XEZSfDjp24pZk1XA/03+kekrtlJeWcXlUxazwrvlUlhQ4AOZblmKiIhIo9U6Ppz07UVszSsBICu/lE3bi5m6MJ3QIBdhwS5cLgtwlRohExERkUasdXwE6duL2V5YDsCO4nJKKzy3LUsrqhrE/DFQIBMREZFGrHV8ODmFZWz2TuzfUVxOiXfuGNAg9rEEBTIRERFpxFrHe560/HnTDgDyiiuqR8gAwoIbRhRqGFWIiIiI1IHkJhHAH4FMI2QiIiIi9ez3EbK12YXArnPIoGGsQQYKZCIiItKINY8KJTToj7iz+whZWANYgwwUyERERKQRM7PqUTLYc4QsQiNkIiIiInWvdXxE9e95u42QNYRV+kGBTERERBq5nUfI8ksrKCqrqH4dphEyERERkbr3+5OW8RHBAGQXlFW/F6ERMhEREZG69/sIWWrTSAAyvdsogZ6yFBEREakXad4g1iEhCoCteaXV72kOmYiIiEg96NwqhmfP6sNJvZIAyMzXCJmIiIhIvTIzRnRqQdPIUAAy80uJCg0iMsRNSpMIH73rR8PYL0BERESkjsWGeyb155dUkNo0gi8uG7LLorGBpEAmIiIiB4XfAxlAaJCrwSx5AbplKSIiIgeJsGAXwW7z/t5wwhgokImIiMhBwsyqR8kayq3K3zWsakRERETqUIw3kGmETERERCRANEImIiIiEmDVgUwjZCIiIiKB8XsgCwtSIBMREREJiD9GyBpWBGpY1YiIiIjUIY2QiYiIiARYTJhGyEREREQCSiNkIiIiIgH2xzpkDSsCNaxqREREROqQ1iETERERCbBYrdQvIiIiEljJTcJpnxBFx8SYQJeyi6BAFyAiIiJSX6LDgpk+cWigy9iDRshEREREAkyBTERERCTAFMhEREREAkyBTERERCTAFMhEREREAkyBTERERCTAFMhEREREAkyBTERERCTAFMhEREREAkyBTERERCTAFMhEREREAkyBTERERCTAFMhEREREAkyBTERERCTAFMhEREREAkyBTERERCTAFMhEREREAkyBTERERCTAzHGcQNfwp5lZFrC+jk/TDMiu43OIvuf6ou+5fuh7rh/6nuuHvuf9J9VxnOZ7e+OADmT1wczmO47TJ9B1NHb6nuuHvuf6oe+5fuh7rh/6nuuHblmKiIiIBJgCmYiIiEiAKZD59kygCzhI6HuuH/qe64e+5/qh77l+6HuuB5pDJiIiIhJgGiETERERCTAFslqY2UgzW2Vmv5rZNYGupzEys+fNLNPMlga6lsbMzJLN7GszW2Fmy8zsP4GuqbExszAzm2tmi73f8S2BrqkxMzO3mf1kZh8HupbGyszWmdnPZrbIzOYHup7GTrcsa2BmbuAX4CggHZgHnO44zvKAFtbImNkQoAB42XGcLoGup7Eys0Qg0XGchWYWDSwARunv8/5jZgZEOo5TYGbBwLfAfxzHmRPg0holM5sI9AFiHMc5PtD1NEZmtg7o4ziO1iCrBxohq1k/4FfHcX5zHKcMeBM4McA1NTqO48wGtgW6jsbOcZwtjuMs9P6eD6wAkgJbVePieBR4XwZ7f/Qv3jpgZq2B44BnA12LyP6iQFazJGDjTq/T0f+BSSNgZmlAT+DHAJfS6Hhvoy0CMoFpjuPoO64bDwNXAVUBrqOxc4AvzWyBmV0Q6GIaOwWymtlejulfu3JAM7MoYCpwmeM4eYGup7FxHKfScZweQGugn5npNvx+ZmbHA5mO4ywIdC0HgUGO4/QCjgH+7Z1iInVEgaxm6UDyTq9bA5sDVIvIX+ad1zQVeM1xnHcDXU9j5jhOLjATGBnYShqlQcAJ3vlNbwLDzOzVwJbUODmOs9n7ZybwHp6pPFJHFMhqNg/oYGZtzCwEOA34MMA1ifwp3gnnzwErHMd5MND1NEZm1tzM4ry/hwMjgJUBLaoRchznWsdxWjuOk4bnf5e/chznjACX1eiYWaT3ASDMLBI4GtDT8HVIgawGjuNUAJcAX+CZAD3FcZxlga2q8TGzN4AfgEPNLN3Mzgt0TY3UIOBMPKMJi7w/xwa6qEYmEfjazJbg+QfdNMdxtCSDHKhaAN+a2WJgLvCJ4zifB7imRk3LXoiIiIgEmEbIRERERAJMgUxEREQkwBTIRERERAJMgUxEREQkwBTIRERERAJMgUxEREQkwBTIRERERAJMgUxE5CBlZm3N7DkzeyfQtYgc7BTIRKSamV1vZsvMbIl3Nf/++9g/zsz+VdPrP1HP93+27/72V6/lT5wv3MxmmZm7rs7hOM5vjuPssjuGmYWY2WwzC6qr84rInhTIRAQAMzsMOB7o5ThONzx7MW7cx4+JA/5Vy2t/6jAzcwE4jjNwH89fl+L4C9fyJ5wLvOs4TuWf7L9zHV3N7OPdfhL21tZxnDJgBjDmr55XRPynQCYiv0sEsh3HKQVwHCfbcZzNAGZ2lnfUbLGZveI99r6ZLfCOqF3g/Yy7gXbe0bX79vIaMzvDzOZ6jz1tZm4zSzOzFWb2BLAQSPa2Ldjpvcnec33p3bwbb5v/mdlKM5tmZm+Y2RU7X5SZ3bPbqN3NZnZ5TbXUdL01XMtEM1vq/bnMe2yv17LT+TuY2Uwzm29m95rZrzX89xgLfLBTv/fM7HYz+8bMMsxshPf422b2mJl9a2brzWywmb1sZr+Y2XPe/5Y/O45z/G4/mbX8XXjfe34RqS+O4+hHP/rRD0AUsAj4BXgCGOo93hlYBTTzvm6y25/hwFKgKZAGLN3pM3d//TfgIyDY+/oJ4CxvuypgwG41FXjfqwB6eI9NAc7w/t7HW3M4EA2sBq7Y7TN6ArN2er0cSKmllpqud/dr6Q38DER6v7tl3nPt9Vq8fdzAD3hGIQEeBT7YS7sQIGO3Y9XXBowGXvD+vhKY6P39Vm/tid7P2A6E1vLfvCnwFLAGuHa3OrMC/XdSP/o5mH40R0BEAHAcp8DMegOHA0cCb5nZNXiCzjuO42R7223zdrnUzE7y/p4MdAAyfJxmOJ4gM8/MwBOkMoHZwHrHcebU0G+t4ziLvL8vwBN6AAbjCTTFAGb20V6u6yczSzCzVkBzYLvjOBvM7JIaaomt4Xp3Nxh4z3GcQu+538Xz3X1Yy7WMApY7jrPQ+3oFkLuXds12Pm5mEd66HvIeCgJyzSwMz63Uh73Hi4HnHMfZ4u1XBJTVUD+O4+QAF+3leKWZlZlZtOM4+TX1F5H9R4FMRKo5nvlKM4GZZvYzMA6YBjg7tzOzI/DMMTvMcZwiM5sJhPlxCgNechzn2t0+Lw0orKVf6U6/V+IJT79/nj/eAU4BWgJv+qjlUna73hrUdu6arqUnnhG933XH8/3urphdv8/OwALnj/lk3fCMSnYGFjqOU7XT5z0JYGatgc2O4/hzLXsTCpT8yb4iso80h0xEADCzQ82sw06HegDr8UzwPtXMmnrbNcEzWrPdG8Y6AgO8ffLxjKhRw+sZwCm/Tyg3syZmlvoXyv4W+IeZhZlZFHBcDe3eBE7DE8p+X+Khplr2dr17u5bZwCgzizCzSOAk4Bsf9eYAHb2f2x/PLdIluzdyHGc74PaOgAF0Ydcg183bryuweC/HwRPO9vhsf3ivPctxnPI/019E9p1GyETkd1HAo2YWh2fO1q/ABY7jZJvZHcAsM6sEfgIuBC4ysyV45izNAc8tMDP7zsyWAp85jnPlXl7fAHxpnqcPy4F/4/tW5145jjPPzD7EE0rWA/OBHXtpt8zMooFNv9/Ocxxn+d5qcRxnzl6u9+waru1FYK73NM96b4+m1VLyK8An3tHHT/EEtJom9X+J57bodDzB68ed3uuCZ4TstN/P7w1v4d4wB7uGs311pLc+Eakn9udHs0VEAs/Morzz3yLwjFpdsNMcrQbLzJLxzFXb61pvZtYTz2T9M+u3sur5cNc6jrOqvs8tcrDSCJmIHOieMbNOeOZcvXQghDGvWm8pekfbvjYzt7Mf1iLzl5mFAO8rjInUL42QiYiIiASYJvWLiIiIBJgCmYiIiEiAKZCJiIiIBJgCmYiIiEiAKZCJiIiIBJgCmYiIiEiAKZCJiIiIBJgCmYiIiEiAKZCJiIiIBNj/A9wvyxcUQlR5AAAAAElFTkSuQmCC\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = subplots(figsize=(10,8))\n", "jupyter.plot1d(ai.integrate1d(Y, 500, method=method),ax=ax, label=\"q_nm^-1\")\n", "ax.semilogy()\n", "x,y = ai.integrate1d(Y, 500, unit=\"log(1+q.nm)_None\", method=method)\n", "ax.plot(numpy.exp(x)-1,y*2, label=\"log(1+q.nm)_None\")\n", "x,y = ai.integrate1d(Y, 500, unit=\"arcsinh(q.nm)_None\", method=method)\n", "ax.plot(numpy.sinh(x), y*4, label=\"arcsinh(q.nm)_None\")\n", "x,y = ai.integrate1d(Y, 500, unit=\"arcsinh(q.A)_None\", method=method)\n", "ax.plot(numpy.sinh(x)*10, y*8, label=\"arcsinh(q.A)_None\")\n", "ax.legend()\n", "pass" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Going to log-scale helps to reduce the noise at high $q$ as on can see in the log(1+q.nm) or arcsinh(q.nm). \n", "The maximum value for $q$ is only 0.56${A}$, so after taking the log scale this remain in the linear part of the curve.\n", "On the opposite, one would like to histogram on bins with larger numerical values. This is what we will see now. \n", "\n", "## Creation of a new radial unit\n", "\n", "Let's create the $arcsinh(q.µm)$ unit. \n", "$q$ in inverse micrometer has numerical values 1000 times larger than in inverse nanometer, and should emphathize the curvature.\n", "\n", "There are two way to define a new unit:\n", "* with a python function implementing the formula, using numpy \n", "* with a mathematical formula as a string, using numexpr (which provides parallel execution for array initialization)" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "A function implementing the formula:\n", " def eq_q(x, y, z, wavelength):\n", " \"\"\"Calculates the modulus of the scattering vector\n", "\n", " :param x: horizontal position, towards the center of the ring, from sample position\n", " :param y: Vertical position, to the roof, from sample position\n", " :param z: distance from sample along the beam\n", " :param wavelength: in meter\n", " \"\"\"\n", " return 4.0e-9 * numpy.pi * numpy.sin(eq_2th(x, y, z) / 2.0) / wavelength\n", "\n", "Mathematical formula: 4.0e-9*π/λ*sin(arctan2(sqrt(x * x + y * y), z)/2.0)\n" ] } ], "source": [ "from pyFAI.units import eq_q, formula_q, register_radial_unit\n", "\n", "register_radial_unit(\"arcsinh(q.µm)_Numpy\",\n", " scale=1.0,\n", " label=r\"arcsinh($q$.µm)\",\n", " equation=lambda x, y, z, wavelength: numpy.arcsinh(1000*eq_q(x, y, z, wavelength)))\n", "\n", "\n", "print(\"A function implementing the formula:\\n\",inspect.getsource(eq_q))\n", " \n", "print(f\"Mathematical formula: {formula_q}\")" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [], "source": [ "# Litteral formula can also be provided:\n", "\n", "register_radial_unit(\"arcsinh(q.µm)_Numexpr\",\n", " scale=1.0,\n", " label=r\"arcsinh($q$.µm)\",\n", " formula=\"arcsinh(4.0e-6*π/λ*sin(arctan2(sqrt(x**2 + y**2), z)/2.0))\")\n", "\n", "# This uses numexpr which is multithreaded" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "WARNING:pyFAI.geometry:No fast path for space: arcsinh(q.µm)\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = subplots(figsize=(10,8))\n", "jupyter.plot1d(ai.integrate1d(Y, 500, method=method),ax=ax, label=\"q_nm^-1\")\n", "ax.semilogy()\n", "x,y = ai.integrate1d(Y, 500, unit=\"arcsinh(q.nm)_None\", method=method)\n", "ax.plot(numpy.sinh(x), y, label=\"arcsinh(q.nm)_None\")\n", "x,y = ai.integrate1d(Y, 500, unit=\"arcsinh(q.A)_None\", method=method)\n", "ax.plot(numpy.sinh(x)*10, y, label=\"arcsinh(q.A)_Numpy\")\n", "x,y = ai.integrate1d(Y, 500, unit=\"arcsinh(q.µm)_Numpy\", method=method)\n", "ax.plot(numpy.sinh(x)/1000, y, \".\", label=\"arcsinh(q.µm)_None1\")\n", "x,y = ai.integrate1d(Y, 500, unit=\"arcsinh(q.µm)_Numexpr\", method=method)\n", "ax.plot(numpy.sinh(x)/1000, y, \".\", label=\"arcsinh(q.µm)_Numexpr\")\n", "\n", "ax.legend()\n", "pass" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": 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+tqH3MbMCoAAgNze3qd2TgDh0ooKFK0v49VslHD5ZyaiBPXhw8jCuv7gfWSrEiiRVrGv4OcCuOo9LgXGf8Px/Bj4PdDezIe7+eP0nuHshUAiR8/Bj7J+0kuKDJ5m7LMTza0qpqA7z+Yv6UDBxMFfk9dTRByIBEWvgN/Q3udGQdvefAz//1IvqLJ2UsXbnEQrfCPHye/to16YNt4zOYfbEQQzp0zXZXRORemIN/FJgYJ3HA4A9MV5TZ+kEXDjs/OX9MgqLtrOq+AjdOrTlq5MGc9f4PPp07ZDs7olII2IN/FXAUDMbBOwGZgC3x9opzfCD6UxVDS+8u5u5y0KEDpwkp0dHvjNlONOvGEjn9vpIh0jQNWdb5jPAJKCXmZUC33X3eWb2APAykZ058919U6yd0gw/WMpPV/HUWyX86s1iDp6oYERON34+czQ3jOhH2yydQS+SKpqzS2dmI+1LgaVx6xGa4QfFvvIzzFse4jdvf3gz8PuvHcX4weeqECuSggL5c7hm+Mm1rew4c94I8eK63dSEnSmX9qdgYj4jcnQGvUgqC2Tga4afHGtKDvPL10O8unk/Hdq1YebYXGZPyNcZ9CJpwtyDu9V9zJgxvnr16mR3I62Fw85f3y/j8Te2s7rkCD06tePLV+Vxl44+EElZZrbG3cfUbw/kDF8Sr7I6zOL1e5jzxna2lp0gp0dHvjs1suOmU7b+txBJR4H8m60lncQ5UVHNond2Mm/5DvaWn2FYv678ZPpIplzan3bacSOS1rSkkyEOHK9gwYod/HplCcfOVDNu0DncP2kwky7orR03ImlGSzoZquTQSQqLQvx2TSlVNWG+MLwf912bz2jdbEQk4wQy8LWkE7vNe4/xi9e389Lf9tC2TRtuvSyH2RPzGdy7S7K7JiJJoiWdNLN25xF+8do2Xt1cRufsLO648nxmXTOIPt10xo1IptCSThpzd1ZsP8Rjr21jxfZD9OjUjv/9+Qu4a/z59OiUnezuiUhAKPBTWO2plY++to31u47Sp2t7HrrhIm4fl6vDzETkYwKZClrD/2TVNWFe2rCXX7y2nS37jzPwnI58/5YR/N1lA+jQTrcPFJGGaQ0/hVRWh/nd2lIef2M7JYdOMbRPF776mcFMvbS/Tq0UkbO0hp/CKqvDPL+mlMde28buo6e5dEB35tx5Oddd1Jc2uk+siDSRAj/A6gf96NwefP+WEVyrD0uJSAso8AOooaD/z1svYeLQXgp6EWkxBX6A1A/6UQMV9CISP4EM/EzbpVNdEwn6//6rgl5EEke7dJLI3fnjxn388M9bCB04yciBPfj6dRco6EUkJtqlEzDLtx7kB396nw27yxnapwtz7ryc64f3VdCLSMIo8FvZul1H+a8/vc+K7YfI6dGRH35pJLeMziFL2ytFJMEU+K2k9MgpfvCnLSxZv4dzOmfznSnD+Ycrc2nfVp+MFZHWocBPsJMV1fzy9e3MXRYC4J8/O4T7rh1MF511IyKtTKmTIOGw8/zaUv7fy1s4cLyCaaP686+Th5HTo2OyuyYiGarVAt/MLgK+BvQC/uLuv2yt925tG3eX89ALG1hfWs7o3B7MufNyLtMdpkQkyZoU+GY2H5gClLn7iDrtk4GfAVnAE+7+SGPXcPfNwP1m1gaYG1OvA+r4mSp+/MoHPLmimHM6t+en00cxbVR/7bwRkUBo6gx/AfAosLC2wcyygMeA64BSYJWZLSYS/g/Xe/097l5mZjcBD0avlTZq99N/b8kmyo5XcMe48/nGFy6ke8d2ye6aiMhZTQp8dy8ys7x6zWOBbe4eAjCzRcA0d3+YyE8DDV1nMbDYzF4CftPQc8ysACgAyM3NbUr3kurA8Qq+9cIGXnlvP8PP68bjd1yuG4SLSCDFsoafA+yq87gUGNfYk81sEnAr0B5Y2tjz3L0QKITIJ21j6F/CvfS3vXz7xQ2crKzhWzcM456rB+lcehEJrFgCv6GF6UYD2t1fB15v0oUDfpZO+ekqvv3iRpas38PIAd350W0jGdKna7K7JSLyiWIJ/FJgYJ3HA4A9sXUnwt2XAEvGjBkzOx7Xi6e/lR7lq0+vZV/5Gb5x/QXcf+1gzepFJCXEEvirgKFmNgjYDcwAbo9Hp4I4w3d3nlxRzPeXbqZP1w48d/9V2mopIimlSVNTM3sGWAlcaGalZjbL3auBB4CXgc3Ac+6+KR6dcvcl7l7QvXv3eFwuZqcra3jgmXf59yXvMXFob176l2sU9iKScpq6S2dmI+1L+YQCbEsFaYZfduwM9y5czYbd5fzb5GHcNzFf95EVkZQUyMXnoMzw39tzjJsfe5NtZScovHMM/zhpsMJeRFJWIAPfzKaaWWF5eXnS+rC6+DDT56wk7PDcfVdx3fC+SeuLiEg8BDLwkz3DX7HtIHfOe4feXdvzwj+NZ0ROMGoJIiKx0GmZ9azYdpCvLFjF+ed24ql7x9Gna4dkd0lEJC4COcNP1pLOxt3lzF64mrxzO7Oo4CqFvYiklUAGfjKWdEoOneTuX71Dj07ZLJw1lnM6Z7fae4uItIZABn5rO3amirt/tYqasLNw1lj6dtPMXkTSTyADvzWXdMJh5+vPrmfX4VPMuXMMg3t3Sfh7iogkQyADvzWXdOYUhXh1834euvEixg46J+HvJyKSLIEM/Nby3p5j/PiVLdx4yXncPT4v2d0REUmojA38yuow3/jterp3zOb/3jxCtyEUkbQXyMBvjTX8uctCvLf3GP95ywh6akeOiGSAQAZ+otfwy46f4RevbeP64X25/uJ+CXkPEZGgCWTgJ9pPXtlKRXWYB784LNldERFpNRkX+Fv3H+fZVTu548rzydcWTBHJIBkX+L98fTsd2mXxL58bmuyuiIi0qowK/N1HT7N4/R5mXJGroxNEJOMEMvATtUtn4YpiAGZNGBTX64qIpIJABn4idulU1YT53dpSPndRH3J6dIzbdUVEUkUgAz8R/rK5jIMnKpl+xcBkd0VEJCkyJvCfX1NKn67tmTi0d7K7IiKSFBkR+Kcqq1m29QA3XHIebbMyYsgiIh+TEem3fOtBKqrDuhG5iGS0jAj8Vzfvp2uHtjr+WEQyWqsGvpl1NrM1Zjaltd7T3fnr+we49oLetNNyjohksCYloJnNN7MyM9tYr32ymW0xs21m9mATLvVvwHMt6WhLFR86xcETFVw9pFdrvq2ISOC0beLzFgCPAgtrG8wsC3gMuA4oBVaZ2WIgC3i43uvvAS4F3gNa9Yaxa0uOAHBZbs/WfFsRkcBpUuC7e5GZ5dVrHgtsc/cQgJktAqa5+8PAx5ZszOwzQGdgOHDazJa6eziWzjfF2p1H6Nq+LUP76KA0EclsTZ3hNyQH2FXncSkwrrEnu/tDAGZ2N3CwsbA3swKgACA3NzeG7kWs3XmUUbk9aNNGd7QSkcwWS+A3lKD+aS9y9wWf8ueFZrYXmJqdnX15C/sGwImKarbsO8Z1n9XJmCIisWxbKQXqnlMwANgTW3ci4nWWzua9xwg7jBqYmDtniYikklgCfxUw1MwGmVk2MANYHI9Oxeu0zK37TwBwQd+u8eiWiEhKa+q2zGeAlcCFZlZqZrPcvRp4AHgZ2Aw85+6b4tGpeM3wt5WdoGO7LPp31+mYIiJN3aUzs5H2pcDSuPaIyAwfmDpkyJCYrrO17DhD+nRRwVZEhIAerRCvGX7JoVPk9eocp16JiKS2QAZ+PNbww2Fnb/lpBvTUco6ICAQ08OMxwy87XkFVjevuViIiUYEM/HgoPXIKgBzN8EVEgIAGfjyWdHYfPQ3AAM3wRUSAgAZ+XJZ0jlUA0Kdbq57VJiISWIEM/Hg4fKqSdllGtw6xnB4hIpI+Ahn48VjSOXyikp6dsjHTHnwREQho4MdjSefwqUrO6Zwdx16JiKS2QAZ+PBw+qcAXEakrrQO/pwJfROSstA78cxX4IiJnBTLwYy3a1oSd8tNV9OikwBcRqRXIwI+1aHu6qgaALu2z4tktEZGUFsjAj9WZaOB3aKfAFxGplZaBf7pSgS8iUl9aBn5FtQJfRKS+tAz805VhADoq8EVEzgpk4Me6S+f02TX8QA5PRCQpApmIse7SqS3aaoYvIvKhQAZ+rE5rl46IyMekZeBrW6aIyMeldeB3zFbgi4jUStPAj+zS6dA2LYcnItIirZaIZjbJzJaZ2eNmNimR73VaM3wRkY9pUuCb2XwzKzOzjfXaJ5vZFjPbZmYPfsplHDgBdABKW9bdpjm7ht9WgS8iUqupN3xdADwKLKxtMLMs4DHgOiIBvsrMFgNZwMP1Xn8PsMzd3zCzvsCPgX+IreuNO11VQ3bbNrRpo9sbiojUalLgu3uRmeXVax4LbHP3EICZLQKmufvDwJRPuNwRoH0L+tpkFVVhrd+LiNTT1Bl+Q3KAXXUelwLjGnuymd0KfAHoQeSnhcaeVwAUAOTm5raoY6cra7R+LyJSTyyB39B6iTf2ZHf/PfD7T7uouxea2V5ganZ29uUt6diInG60a6vlHBGRumIJ/FJgYJ3HA4A9sXUnwt2XAEvGjBkzuyWvv/OqvHh0Q0QkrcSy0L0KGGpmg8wsG5gBLI5Hp2I9PE1ERD6uqdsynwFWAheaWamZzXL3auAB4GVgM/Ccu2+KR6diPTxNREQ+rqm7dGY20r4UWBrXHhGZ4QNThwwZEu9Li4hkrEDuXdQMX0Qk/gIZ+FrDFxGJv0AGvmb4IiLxF8jAFxGR+Atk4GtJR0Qk/sy90Q/HJp2ZHQBKWvjyXsDBOHYnFWjMmUFjzgyxjPl8d+9dvzHQgR8LM1vt7mOS3Y/WpDFnBo05MyRizIFc0hERkfhT4IuIZIh0DvzCZHcgCTTmzKAxZ4a4jzlt1/BFROSj0nmGLyIidaRl4Dfz5uopo6GbyZvZOWb2ipltjf7es86ffTP6PdhiZl9ITq9bzswGmtlrZrbZzDaZ2dei7ek85g5m9o6ZrY+O+XvR9rQdcy0zyzKzd83sf6KP03rMZlZsZhvMbJ2ZrY62JXbM7p5Wv4jcRH07kA9kA+uB4cnuV5zGNhG4DNhYp+2/gAejXz8I/CD69fDo2NsDg6Lfk6xkj6GZ4z0PuCz6dVfgg+i40nnMBnSJft0OeBu4Mp3HXGfsXwd+A/xP9HFajxkoBnrVa0vomNNxhn/25uruXgksAqYluU9x4e5FwOF6zdOAJ6NfPwncXKd9kbtXuPsOYBuR703KcPe97r42+vVxIvddyCG9x+zufiL6sF30l5PGYwYwswHAjcATdZrTesyNSOiY0zHwG7q5ek6S+tIa+rr7XogEJNAn2p5W3wczywNGE5nxpvWYo0sb64Ay4BV3T/sxAz8F/hUI12lL9zE78GczW2NmBdG2hI45lnvaBlWzbq6extLm+2BmXYDfAf/L3Y+ZNXqD+rQYs7vXAKPMrAfwgpmN+ISnp/yYzWwKUObua8xsUlNe0kBbSo056mp332NmfYBXzOz9T3huXMacjjP8hN1cPaD2m9l5ANHfy6LtafF9MLN2RML+aXf/fbQ5rcdcy92PAq8Dk0nvMV8N3GRmxUSWYD9rZk+R3mPG3fdEfy8DXiCyRJPQMadj4Cfs5uoBtRi4K/r1XcAf6rTPMLP2ZjYIGAq8k4T+tZhFpvLzgM3u/uM6f5TOY+4dndljZh2BzwPvk8ZjdvdvuvsAd88j8vf1r+5+B2k8ZjPrbGZda78Grgc2kugxJ7tSnaDq9w1EdnRsBx5Kdn/iOK5ngL1AFZF/8WcB5wJ/AbZGfz+nzvMfin4PtgBfTHb/WzDea4j82Po3YF301w1pPuZLgXejY94IfCfanrZjrjf+SXy4Sydtx0xkF+H66K9NtTmV6DHrk7YiIhkiHZd0RESkAQp8EZEMocAXEckQCnwRkQyhwBcRyRAKfBGRDKHAFxHJEAp8EZEM8f8BJ41RgMtj2/EAAAAASUVORK5CYII=\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = subplots()\n", "ax.plot(numpy.sinh(x)/1000)\n", "ax.semilogy()\n", "pass" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "*Nota:* Expressing q in $µm^{-1}$ heavily distorts the curve in the low $q$ region, causing an oversampling near $q=0$. A factor 10 to 100 would have been better than the 1000 used in this example.\n", "\n", "## Conclusion\n", "\n", "We have seen how to perform azimuthal integration with variable bin-size in pyFAI, especially in the context of SAXS where it is desirable to have larger bins at large $q$ values to reduce the noise in this region." ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Total execution time: 3.745 s\n" ] } ], "source": [ "print(f\"Total execution time: {time.perf_counter()-start_time:.3f} s\")" ] } ], "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": "3.9.1+" } }, "nbformat": 4, "nbformat_minor": 2 }