{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "## 4. PyCBC Tutorial: Signal Consistency and Significance\n", "\n", "We will be using the [PyCBC](http://github.com/ligo-cbc/pycbc) library, which is used to study gravitational-wave data, find astrophysical sources due to compact binary mergers, and study their parameters. These are some of the same tools that the LIGO and Virgo collaborations use to find gravitational waves in LIGO/Virgo data \n", "\n", "In this tutorial we will walk through estimating the significance of a peak in a signal, given a simplified search (with some assumptions as noted along the way). We will also make use of one of the standard signal consistency tests to help remove some non-Gaussian transient noise from the background.\n", "\n", "Additional [examples](http://pycbc.org/pycbc/latest/html/#library-examples-and-interactive-tutorials) and module level documentation are [here](http://pycbc.org/pycbc/latest/html/py-modindex.html)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Getting the software environment setup\n", "\n", "PyCBC is installable through pip, but also relies on portions of the [LALSuite](https://git.ligo.org/lscsoft/lalsuite) c-library. A bundled version of this suitable for use with PyCBC is also available on Mac / Linux through pip. These can be installed as follows within the notebook." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "scrolled": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Requirement already satisfied: pycbc in /home/nbuser/anaconda3_501/lib/python3.6/site-packages (1.14.4)\n", "Requirement already satisfied: lalsuite in /home/nbuser/anaconda3_501/lib/python3.6/site-packages (6.62)\n", "Requirement already satisfied: ligo-common in /home/nbuser/anaconda3_501/lib/python3.6/site-packages (1.0.3)\n", "Requirement already satisfied: jinja2 in /home/nbuser/anaconda3_501/lib/python3.6/site-packages (from pycbc) (2.10)\n", "Requirement already satisfied: astropy>=2.0.3; python_version > \"3.0\" in /home/nbuser/anaconda3_501/lib/python3.6/site-packages (from pycbc) (3.0.4)\n", "Requirement already satisfied: beautifulsoup4>=4.6.0 in /home/nbuser/anaconda3_501/lib/python3.6/site-packages (from pycbc) (4.6.3)\n", "Requirement already satisfied: cython in /home/nbuser/anaconda3_501/lib/python3.6/site-packages (from pycbc) (0.29.14)\n", "Requirement already satisfied: mpld3>=0.3 in /home/nbuser/anaconda3_501/lib/python3.6/site-packages (from pycbc) (0.3)\n", "Requirement already satisfied: ligo-segments in /home/nbuser/anaconda3_501/lib/python3.6/site-packages (from pycbc) (1.2.0)\n", "Requirement already satisfied: matplotlib>=1.5.1 in /home/nbuser/anaconda3_501/lib/python3.6/site-packages (from pycbc) (3.0.0)\n", "Requirement already satisfied: Mako>=1.0.1 in /home/nbuser/anaconda3_501/lib/python3.6/site-packages (from pycbc) (1.1.0)\n", "Requirement already satisfied: six>=1.10.0 in /home/nbuser/anaconda3_501/lib/python3.6/site-packages (from pycbc) (1.11.0)\n", "Requirement already satisfied: requests>=1.2.1 in /home/nbuser/anaconda3_501/lib/python3.6/site-packages (from pycbc) (2.22.0)\n", "Requirement already satisfied: tqdm in /home/nbuser/anaconda3_501/lib/python3.6/site-packages (from pycbc) (4.26.0)\n", "Requirement already satisfied: scipy>=0.16.0; 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We will also calculate the power spectrum of the data. \n", "\n", "Notably, we are making the assumption here that the power spectral estimate of the data is constant over this short stretch of time, and isn't biased by the fact that we chose to center the estimate (very roughly) on the event time. We *do not* assume that the data is actually stationary, Gaussian, or is free from non-astrophysical transient artefacts." ] }, { "cell_type": "code", "execution_count": 86, "metadata": {}, "outputs": [ { "data": { "image/png": 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7+1QPn1PIz8+ntrY2bftzZHWtyZPnEtpzjj/g1+ZaUShSxJvtb1LlraK6sDrTpiimwREPqikl2z9/ekiXsM06kSelfAx4bMkJS24A6BjuYG7RXAA8Hg+LFi3KpHmOw4mePEPkCVO4Vl3YFCnm75/4e9zCzfbPbs+0KYoUoq4lCjuRteHaXHcuAAf7DmbWEIfjyJw8kxDVn6ZU4YUiHajzzF7MNEHW2N9I62C42T7jIXtCp5kg3Y6QrBN5enXt2OAYAsFb7W9l2iRHM1nUOeGiGVJ44VKFFwqFIogTrmGR+OiDH+W89eclOYqM8FphBeEKPlNJ1ok8vbp2VtksFpcu5s32NzNtkqPxBxzYQkUGw7W6J88JdisUCufg+Nl0nG6/Tblqw1Vp3V/WiTwzJ1WexPb27eoGnwRTPHkO8oi5cAULL1QYTaFQKBQpxhfwAel7CMg6kaeHa3t7ezm58mT6x/o52Hsw02Y5Fl0cLS9fDjgj1KELUyGC1bVOEqcKhcIanHC9yhhpvCY63uuZAL2jvWmZWjXrRJ4eri0tLWVJ2RJAFV8kgy6Ybjv7Nrw5Xkd4Rc0XduXJUygUZpIVfjNKOKqH35TSMtiS8n1kncgzU1dcB0BTf1OGLXEuujhyCS306SSRp2a8UCgUighkoXdtJpLVIq8kt4RiTzGN/Y2ZNsWx6KLOLdwIIRzxFBtSeKHmrlUoshb1cGcPsmnGi3ST1SJPCEFtcS1HBo5k2hTHYvbkCYQzPHkTF3bd+2heplAoFFbgVOGy2dfLykXzeWeoOdOmZC1W3o6yTuSZCy8AqgqraB1Ktnlk9mL25LmEyxFiSZ96zSzynDAdm8K5OOF3oZggy7+qF33dALw2cJCsPxipJg3PAVkn8syFFwBVXiXykmFyTp4TwrW6MHVN/AcqXKtILU7wcCsUAC6h9w61/7V8pmJlOmTWibzJVBdW0zvay7BvONOmOJJAYMKT53I7Jlwb0kLFpcK1itSjPMX2xAkPpenGNXFI1LGxni0tW9K+z6wXeVXeKgAL5vvLTpxYXRsSYlaePEUacMLvQqGRtLhxuDbSRYFfPfhazuee/lza95n1Iq+6sBpAhWwTJKS6FmdV17qES7VQUaQFJfIUTsGlT/WIVH3yUkw6inOyTuRNKbzQPXlK5CVESHWtEI4QS7rN5hYq6iasSCVO+F1kI+p7mYouO9J5bJxaiewEsk7kTS68qPRWAipcmyiTq2udIJb0i5duMyiRp0gtKh0g+8jGqboU9iPrRN5k8nPyKcsri8uT1zHcwb277mU8MJ5Cy5yBE6trzZ48JfIU6WDD/g2ZNkERI064hqUSJU1nFjmZNsAOVHmrwnryAjJgiAAzP9/6cx557xHK8sq4ePHF6TDRtpg9eeb3dkavdDR78pSnRZFKfvjaDzNtgkKRAOkRvMrrmTqy3pMHWkPklqHQiYJ/se0XnL3ubJoHpnb9Pth3EIC32t9Kh3m2xomePPO0ZsaMFw6wW6FQ2J+Zci2x26d4cO+DtA+1Z9oMx6FEHlM9eWP+MX6747f0jfXxfOPzU9bXp0E71H8obTbaFaOxsINaqBjCFJcK1yoUihCyvRjDjl61tqE2vvvKd7np+Zuirts/1s+B3gNpsMoZZK3Ia+oONj+u8lbRPdrNqH8UgFeOvmL8bWvr1pDthsaH6BjuAKCxrzENltobf8BvVNYKnFFdG1J4gRJ5CoVCEST91/Bo1bW+gA+AzpHOqGNd99R1XPrwpZbYNRPIWpHnDwRP5KrC0IbIj773KKV5pZy/4Hx2duwM2a5poAmA+cXzOTJwxDj5shVz3qLTPHmq8EKhyG5SGVp1elsQKbBNn7x4juWe7j0ptMR5ZJ3I0/vkjY0HK2OXzloKwI83/5jz15/Ps4ee5cqlV3L87ONpHmymd7TXWLexX/PenTnvTPzST/Pg1Jy9bCIgA0bRhdOaIavCC4VCoYiATQSeGSdEiuxG1ok8vU+e2x0sLD6u/DgqCipoaGrAm+Pl+hOu54b33cDy8uVA6JNBU7/myTtz7pkh77MVv/QbQskpzZBD5q4Vau5ahUIRxG4Pqvu697G9bXsa92g/D2Qq8gQveegSrnj0CsvHtRtZ20LF/EN2CRc/PPuHvN78Ov+w8h/werwALCtfBsCuzl00DzazonwFh/oOUZJbworZK4Bg+DZbMXvynBau1YtFQIVrFQqFPflaw9c41HeIHdfuSNMe7SVyzVgpwPUuGTOd7BV5k86VM+aewRlzzwhZNqdgDrPzZ/OTrT8hIAOU55dTV1zHkrIlVHoryXHlKE+eyZPnEi6jB52d0S8U5rlrVbhWocg+nODBP9SXoS4ONqyyVcRP1oVrdQIx/rhPrjzZ8PJ0jXTxZvubHFN2DG6Xm5qimqwXeVNy8hxw0fQHgp68HJf2nJPtBTQKhULDCdewGYdN9eTGpo38dsdvUzZ+OqqAs1bkxfo7/uKJX2R1zWr+fPGfyRGaINBDtbVFtVkfrp2ck+eEsKfhycOFx+UBlMhTKBTWYLecvkRRYhe+8tev8Ittv8i0GUmhwrVRWFa+jN+c9xsAvnvWd3nywJNcsPACAGqLa3mr/S2klLZsIJkOQnLycMaMF+YGzronT81DrFBkH6qFylRsbbf9by+2I2tFXiCBs+XyYy7n8mMuN94vKFlA/3g/3aPdlOeXW2meY/AH/LhcwZw8Jzz9mQsvVLhWoVAoImCT67mthafNUeHaJFhQsgDIYGKsDQjJyXNIuFbPyXO73Ea4VnnyFAqFAuPmaA95F4oTIkV2I2tFXqyFF9OhRJ4zq2t1r12OK0eFaxUKhaU4IZoxHXb0mWVbOpSVp1DWijwAnz85QTKvaB5u4eZw32GLLHIejqyunQjX5ogcVXihUGQxyjMUhgwIKhWOTR2OFXlCiEIhxFYhxMcm3h8nhPhfIcR6IcSXYhljLEmR53F5qCmqUZ4884wXDrhoKk+eQqGIhBOuYSnFeFCX2C1oOxO/m+cPPz8lzclKnZ12kSeE+J0Qok0IsXPS8ouEELuFEPuEEP8Sw1DfAu7T30gpd0kpvwhcBZwaiy2j49qB/cq927ju/15PyAtVV1JnzGebjQRkIDRc64CcPF3Q5biUJ0+Rfpzg7VZYgEOdU0Gvmn0+gG7TTPzt/OML/8gDex9I2fiZ8OStBS4yLxBCuIFfAx8BVgDXCCFWCCFWCiE2TPq/UghxHvAO0DppnEuBl4C/xmLIqC9Ac+8wj+9opmF3O++29Mf9YeYWzqVlsCXu7WYKfukPbaHigB+h2ZPndrkRCOXJU6QNJzwIZQ32v1xlDDt6zeLJzXPCvUinbagtZWOnvYWKlHKjEGLhpMWnA/uklPsBhBDrgMuklD8CPjZ5DCHEOUAhmiAcFkI8IaUMSCkfBR4VQjwO/CnMdmuANQB51UvY+PIrNPYHL7gPv/A6rfPiOyQjvSN0j3bzzPPPkCNy+L+O/2OVdxUnF54c1zhOpb2jnSH/EA0NDfT09DAmx2hoaMi0WdPyTv87AGz+22b25uzFjZv9B/fT0NuQWcOymIGBAdufN1bxwosvGI3VFZmlr69vyrLe3t6kzsVDPVr6zsEDB2noTnycycRjUzL2Dw4OQC50dHTw8ssv8wELxozG4e7wee36Pnt9vQCMjcV+f3mh4QUjyjQdsYyX6mvTwYMHaegJ7uPowNQHwURtsMuVpgYwxzybgPdHWllKeQuAEOI6oENKGRBC1ANXAHnAExG2uxO4E+CYeaXyxFWn0bunHd7YBUDunDrq65fFZXjfe31seGkDx55yLIPjg2x/fDvbh7az4+J0TSadWdY9tw5GoL6+nj898ycGfYPU19dn2qxpaXm3BV6D1R9YzZyCOeTem8u82nnUn1afadOyloaGBtufN0nx++DL3KW5fLD2g5mzRWFw1+N3QUfospKSkqTOxZ1v7IS3YOGihdSfmPg4BhPnTkw2mdbd2LSR06tPJz8nP67d7TlaBOM9zJkzhw+cdRa8Esf+E+SNrW/AzqnL9X22DbXB/ZCbmxvdjolj8KEPfQi3yx11vWnHi+fYR+DVo69SU1TD/JL5IdcBM4sWLqL+pOA+9rX1w0sbQ9ZJ1Aa7FF6E88FG9bVKKddKKTdMvG6QUn5VSvkFKeWvI+5IiEuEEHcKJAOj4zR2D1GSn8PiOYW81z4Qt+HV3moAWoZaODJwJO7tnY6UMhiudbkIBOwfitLDtXo+nsftUeFaRdq4+cWbM22CYgI7hiSt4O3Ot/nKX7/C7Ztvz7QpMRFrdW08IVi7fLdrnl3DxQ9dnLH920XkNQF1pve1wNFU7EhK+ZiUco1A0jfs43DXEHXlXmrLvTR1D8c93tzCuQC0DLbQPNhsLB8aH7LMZjtjrq51C7fRnsTOmHPyQGulogovFOkilhCSQjGZeHI5+0a1MHQiRYHCJuLIjDQaNDtP5GUau1xtNgNLhRCLhBC5wNXAo6nYke7JcyHpGxnncNcQ88u91JQVcCQBkVdVWAVoIs9cgNE00GSZzXbGXF3rFm5HJJX7ZKjIU548RTpx2eayq0gFqRIX8TxAW2ODfapr9c8TVz89pfGAzLRQ+TPwKrBMCNEkhLheSukDbgSeBnYB90kp307F/oOePOgdHqepa5j55V5qZxXQOTjG8Fh8nqhcdy7l+eW0DLZwdCDofMyWilt/wG/kPTjFkzfqHwWC4VrlyVOkk2zr3u80rBJpVjf41adjjAmZvA3S4X3ylCdPI+0iT0p5jZRyrpTSI6WslVLePbH8CSnlsVLKJVLKH6TaDoFkX9sAY/4AdROePIAjPYmFbPVw7dJZSwFN5I0HxmkdbI2ytbMJ8eS53I4QS0PjQxTkFBh2K0+eIp2ocK19cFKbjWhREvNnScjzNcFMmX0iHSLPH/Dz90/8PZuaNiU1TiqPedZdbcyFFzuPaGXZ88u91MxKXORVF1Yb4dr3zXkfbuGmZbCFH/ztB5y3/rwZXZBhntbMKeHaYd8wBTkFxvscl/LkKdJHris30yYoHIieZhIJs6hJTuCkX/hG827rAtZuArR/rJ8329/k2y99O6lxUilIs07k6eFaF5K3mkwiT/fkJZCXV11YzYG+A3SPdlNTVEOFt4LWoVaji/Xfjv7Nug9gM5xYeDHkG8Kb4zXe57pyGfOPZdAiRTbh9Xijr6TIGMnecFPlHYwWrjXvV3/YTsZrbEcfZ1zhWgd5aVOJXfrkpR0B+AISj1tQO+HFc7sERxMM1+o/qrriOqq91bzb9a7x94N9B60w2ZaEePJczhB5A2MDFHoKjfcFOQUM++L/3hWKRDhr3lmZNkExgZPytqJdW82fxYioJOT4Mk0hZhOhlMj3lM7vNllBqcK1FmIO1wIsmF1IjttFjttFdUl+QuFavcIWtLlsqwur2dO9x1h2uC98N+/pGPWPOiL0OcWTF09ycAaQUvJO5zssKl1kLPN6vAz5sqPljSLz5LpVuFYRP9GEhPnvuiBMppI71YHRUf8ob3fEVl+ZkMhLg0B1QhFV1ok8I1wrtBNg8ZygR6dmVmJtVPSGyAALihdQXRh8f0rVKRzujyzy/nXTv/LLbb8MWTYeGOfC9Rfyby/9W9y2pJvJOXl29+T1jfXRPtzOCXNOMJZ5c7xZ09dQkXmc8PBmZ0b9ozT1279FldXemaiFF2E8eUmJkBQLmFtfuZWrH786pfO2poukvYYpPNRZJ/J09A/+4eWVxrLasgKO9AwzOOpjw1tH8Qdi++KWzlqKS7ioK66jKLeIumKtr3NBTgHHlR/H0YGjYZ8qOoc7eWz/Y9y1464QD9je7r10jmh/szshnjwHhGtbh7RqZ7P3VYVrFelEibzk+Pamb/ORBz+ScEX8/p79IZGWKSR4v97dtTskTcdqogmJsCLPZoUKZnZ0aFN/Do4PRl03Ea+ck0Lxk7HSCZl1OXlCiEuAS1bNy+HFb9YzvzyYBF0zq4CWN0f4+XN7uGvTAf7z8nE+c8aCqGMWegp58NIHmZU/C4Cza86mOLeYz674LIWeQoZ8Q/SN9VGaVwrAvu59VHgrONB7wBija6SLCm8FADs7gpP4SSlt7RKe4smzebhWv6CUeEqMZSpcq0gnTr752IGXjryuT/FcAAAgAElEQVQEwLh/3Oh1GQ+XPXIZADuu3WHpd3HlY1cCcMPKGywb00w8LVSSE3kywuvUIJFR7bRruDa4s/TtKl6yzpNnboa8YHZhiICqKSvAH5DctUkTX3/b3xnzuEvKllCeXw7A3KK5NFzVwBdP/CLziuYBGG1Ujg4c5eOPfpyvvfA1DvUdMrbXPUygzTuo0z/eH/+HTCP+gB+XyznVtSO+EYCQSbu9OV6Gx4dVNZYiLShPXnLoM9VkW2/LaOeN+e/6dTgZB0G8wiogAwmf26l48EnHw1SqHDBWDpt1Is8gTOXQinklIe/3tQ4kPLyeXD2vUBN5+mwYrzW/BsCW1i0hYs4s8ra1bjNedw7HLjQzgdmT53K5bOnJC8gAt756K293vG2IvLycPOPvBTkF+KQv624aisygRF5y5AhN5KWq7ZFdPa3xnDfJePIibhPlIfjCBy5k9brVce8vJhL4StJaXZvsvlJoavaKPCRMEiQnzCvlxNpSTqwr4/rVi9jfMcC4P7kL8mRPnjln48G9Dxrev9bBVsb8Y3zuqc9xsO8g9bX1gP1FnjknL0fk2PIGdnTgKOv3rOcbL37DmNIs323y5E30LVPFF4p0oDzGyaFPo2hFA3MnfRfpKryIKFhGeqfdrmWwhf6xxCJPjg/XJosqvEgREzd8HZdL8PBXPsDDXz6LZdXFjPtlQn3zzJTkllDkKaJ5sBnQRN7y8uVGaPO06tNwCzcdwx1sbd3KltYtnFN3Dtcefy0AvaOhPywppa1O3sl98nzSZyv7IJiHN+IbMQoszOHaklzNg9sz2pN+4xRZRXl+uW09RU5Bf6jMNs97gNhz8vSIStKFF+Zr+WB7cmNZgN3uLU4g60Se3icPgDDufiEEQgjqZmnencau5ESeEILa4loO9h0kIAPs7t7NiRUnGhW4y8uXM7tgNm1DbWxt3YpbuLnt7NsMD2DfWF/IeDc8ewOff/rzMe37laOvTNneasyePP1fu3nzRvxaiFYIYXjy8tzBcG2VV6u0nQml/Ap74hZublh5Ay7hst3vw2noD5VWiLxUCm6r87WiCRyzCEwmJy/iFqkSWDEMO9MfjFQzZAvRCy8A8Ee+SNSVa7NgNHZPH8LbuKedm+9/k62HuiKus7RsKXu79nKk/wiD44MsL1/O1cuvpji3mPPmn0dFQQUdwx0c7jvM3MK5eD1ew7tk9uQNjg/yWvNrbGndQvvQ9E9V+3v384Vnv5DyXnsBGQgJ1+rL7MSoL+ixDReu1dupmPMiFQor0W9SLlwz/oaVaqz05OnC6fazb5+yzG7EU11riDwbt1CJR4Aac9cmsE06SHoqPDV3bYqYJnF3bmkBOS7B4S5N5PWPjPON+97krB/9lZ8/twcpJfvaBrj+95tZv7WJG//0BoEIffWWlS+jbbiN5w4/B8DKOSv59HGf5pVrXmFh6UIqCipoH27ncP9hw8NX6CnELdwhnjhzNe7+3v3TfrRDvdq6LzS+EMOBSBy/9AcLLyYuvtEm0k43hicPYYRrzYUXlV6tV2LLYEv6jVNkBVJKXMKFEMK2IsJOjAfGIxZWGNW10zykx4pEck7dOXx08UeTHivVJFR4kYw3ccppmvnzNp7fTjoeplL1W7Zy2OwWeb7RiH9yuwQ1swponBB5//HYOzz0RhMVJfn8/Lm9PLDtCLc8tIMCj5vvfGwFzb0jbDvcHXasM+aeAcBPt/6UQk8hS8qWhPx9jncOHcMdNPY3Mr9kPqD9OEtyS0I8eWaRZ+6xF46jg0eN16n0rIV48lz29OTpFbUCLVybI3JC+msV5BRQnl9uFMcoFFYjkUYqiN1+H3bkikeu4JQ/nhL2b/p10IqHyVh6tCUyZiqIx5N3sPcgYIUnz/RZLBY0um2xHK9Uzl17z9v3xD32lH3Z+MEtLpEnhPiEsHNn3niJUoJfN8tLY/cwPUNjPPTGET575kIe/NJZnLZwFjff/yavHejiWx9ZzmUnaflz2xvDJ+4fO+tYVsxeAcBFCy8yxJBORUEFXSNd9I31GZ48gNK80hBP3sG+g4CWkxLNk2fOL0tlrtnkZshgTdWblYyaCmxGfCMhXjydmqIaJfIUKcEINSFUuDZG9GvddFjRrilcs3m7fj9RCy9Mdj9+4HEg2WnNJu/A2ocTQ+TFIJD0zxbPdxOr8Prxlh/HPGa6sPIMjNeT90fgT0JM3M0BIcTnLLQn5YQUXkx4eCJRV6558p59pxVfQHLFqhrcLsFPrzqJlTWlfOaMBVxz2nxmF+UxpyiP3S3hy8eFENzxoTv42qqv8fVTvj7l73MK5hivF5YsNF5P9uQ19jVS5a3i+NnHs7d777S2m0vZG/sbp103GczNkHWPnt0aIuthH4lkxD8Sko+nU+mtjJrnqFAkgn5j0j15dn7qtzv7e4IPt1ZdZ+yct2Ym2nnzXs97xms9UpHUZ5u8uzAPx1aQKlGtwrUa8Yq8d4EXgQeEEHq86ybrzEk9IYUXY9MXVSyaU0jX4Bh/fO0wNWUFrKzRpiWrK/fy2E2r+c/LT8Dl0n5Ex1YVsbctcvPkuuI6rl95vTG1mRk9JwxgUeki43VJXkmIJ6+xv5G64jqWlS9jd9fuaU+wgbEBoxDicN/hkL/96LUfcdNfrfnafNJn7Meu4VrdkxeQAUZ9oyHtU3RKcksS7vGkUEyHuTGtQET1yCgi88kNnzReWyHyUjltpNXiMdp19Z8a/sl4vWzWMs0Gi6pr38rLpdedmllQYzpONn8uslpQujI444WUUv4v8CDwqBCigJS28Usx49O3R1k1X5uL9s3GHi5+39xpfzC1swoS7qlnztHTW6eAJjzCibzl5cvpH+/n9ZbXI47ZP97PMbOOIceVM8WT96d3/0RDU0PSYVV9Ghv9qdEovLBZuFavwtM9eeb2KToluSW2n0JO4UwMTx4Cl3ApT14S6EVUYM3DpF1Ds+GI9nnN96eSvJJp1oyDiXP10/OqueHFf4qycoK7SJUnb5rf2eRjua97X2L7sMr2ScO4LVR58Yq8bgAp5T3A74DHAa9l1qSbKDMcrKwtJWfiYF9+Us20684rK6B9YJQxX+Qf4tZDXbT3B/PDmrq1UHBtUS2XLbmMf1z1jyH5euZw7dD4EJ0jndQV13FO3TkU5BRwwzM38HpzeKE3MDZAaV4ptUW1HO4PevLMFWnJNv/VxZxus56TZzdPnh6u9Us/I76RsJ684txihn3DllTsKRQhTFzAXcKlRJ6FWCXyJnuS7Cr80jWt2ZSxJv7d1bMn6bHMmEVptGNudeHF5E4KH3/047acktMKYhJ5QohjhRBCSnmuvkxKeT/wU2B2qoxLOVFEXl6Omz/dcAZ3X3vqlHltJzOvtAApobUvfJ5fY9cQn/jNq3z2d0FRdvWdf+OGe7awt22A76/+Pv+w8h9CtinNK6V/rJ+ADLCzYyegtWOp8Faw/pL1zMqfxe/f+X3Y/Q2MD1DsKWZ+yXzDkzfsGzZm3oDkp0ybIvImphuy249FD9f6Ar6IOXn6k2+qm0crsg89PKvf1FS41hpSVXhhV6J68kyCzsoH7V25wU4E9DVHXjGFJPJgFO821z11Xfz7sOkDgZlYg+wPAnVCiD3ADuCtiX9fk1LOmXZLOxPDXKWnLyqPaai5ZZpwONIzTF35VOfmm02a12xXcx8+f4DhcT9N3Vp4d9uhbo6tKp6yTUluCRJJ/1g/Txx4ghxXDidVngTA/JL5XLL4Eu599176xvqM5sk6/WP9FOUWUegpZEvLFkb9o1z28GUhF8akRZ4M78mzW5+8sYDmyRvxjTA8Phw2L7LIUwRo4nh2gXOfWxT2w3yzUZ4867BKyDim8CKKoDCLVSs9eYc9JpHnS24GqGRJpaja3r49ZWNnkpg8eVLKE4BK4MvAJcAS4F+BHUII53aQjZKTFw/zyrQZMpp7w4+5qznoITrSM8yu5mD+1zvN4b1Huhh5u+NtHtr3EFcvuzpEzF2w8AJ8AR8NjQ1Tth0YH6DIU0RdcR1DviFea36N5sFm2oaD7VSS9Vrpnjzz3LVgv3CtHoL1Sz99Y30U5BRMWac4VxPZrx59ldZBNfOFwjqM2S70cK1Nn/6Hxof40nNfYnfX7kybEhE97xfgD7v+kPR4YcO1NhXh0a7X5s+RyAwRk9HOU5lyv7Mk+nzsVodrrfoN6nZbfc5kpIWKlHJUSrkZGJBS3iSlPFdKWQ0cZ6E96SUGT16szCvVhMPRnvDhWrOo298+yM4jWq5dZXEeR7rDC0Nd0D2470ECMsBnV3w25O8r56xkbuFcnjn4DAAvH3mZIwNH8Af8DI4PUpxbzPxirbnypqZNU8a3SuRN8eTZrPDC3Ceve6Q7rMjTPXk/eO0HXPzQxWmzTTHzMffJA/s9BOns6d7DS0de4rbXb8u0KRExC5mtrVuTHk9KaXnpoBU3/L+8+xf+1vy3kGX/uulfp93GfGySqTw2RhF6s+LUEk+fPKd4XePFbtOahVgjpQw/zYNNCfbJE1FbqMRDQa6bMq9nWk/eB4+tAGB/xyA7j/ZSWZzHCTWltETI46ss1FqrPH3waZbOWsrcormTPwsXLLiAl4+8zO2v384Xn/siX3nuKwz6BgFNuOgzaLx89OUp4yfbMkQXc3p1rS7y7NonD7Sq4+k8eRAqChWKZHFKda3++x2J0j90JpGKGS90kvGiff+173PDMzeELBvyRblfmXZnrkKOl8lnp0yRrkrk+KSiGXIyY9nVK28m1sKLXwkhrhdCnIyTW6Zg6pPnclkargVtvtvmMJ68nqExmntH+MCS2ZQWeHivfYC3j/RxQk0pVSV5tPaFFxW1RbXGa31qtMlcv/J6VsxZwR93/RGA93rfMypyi3OLmVc4D7dw09jfSKW3ks+u+Czf/8D3yXHlWCbydE+eLvbs5smbPAdmWE9eblG6zFFkGebQmUu4VOFFElh9U01l4UW6xbxZrG5u2Zz0eNsGtK4MMg23/KizeSRSeGHhuZKK6t90Easn7y3gZODnQLEQ4h0hxP1CiFuFEJ+Msq09ES5Lw7UA80rzOdo7VeS92aSJruPnlbKsqpi3mnrY29bPCfNKqCzOp3NwlHH/1JPcXCBwSlX4eRxn5c/i7gvu5tazbuWGldqT354urdS9JLcEj9vD3ELNA7igZAHfPO2bXHbMZZY0/50s8vT+c5n2hD2096GQad/0wgudAk/kcK0iczx54ElW/n4lg+ODmTbFUsyePIF9Z7ww5w7aFatD3Xb15FlmQwKfTd/ircEmkJKcFJ2vqQ69TpuTZ8Pf4O6u3dzy0i2W2xZr4cWdUsobpZQfmqimvQD4P2AI+JilFqWLFIi86tL8kHBtx8AoN9yzhTX3bMHjFpyyYBbHVhex80gfAQnH15RSVZKPlNq64fjE0k9Qnl/O6dWnR9xvfk4+Vyy9grPmnQXA251vA8EQZE2x1uPvmLJjjG2KPEUhIu/IwBG6R+KLvOtVtHqYJ9edC0z1nKWT1sFWvvPKd/jq8181lsXkyVMiL+P8dsdvgakztDgdo9JRn9bMpk/9hoDKvDaJiU8t/5Ql41gtNjL1/aZkvwEf88ftE5mJRwClI1xr5b6ufOxKHn3vUXZ3W1v4FGu49kxheiyRUjZJKZ+QUt4upfyMpRalC+GCMWs9BvPKCugZGmd4TMtJ+/UL+3j2nVZGfQEuOL6aglw3y6qD1bGr5s+iqkTzfrWE8QACfOfM7/DMlc+E5IxFQs/Z0+e11UOQJ1acCMAJc04w1i3OLTZmeJBS8skNn+RTj8d30ZzsydNFXiY9ee3D2vyzh/oOAVrFYPNgc8iFvCyvbMp2emWwInPkurTzR5+hZKYhELhw2bbwwmnJ7Xaf1swOJPTZzHrlhR8QmBiixJ+aXOtYxKnV1bWR6BjuiG8fM2ju2muBbUKIdUKI64QQ1daZkCGEG0asbXw7t1TrldfcO4yUkid2NPORE6r56zc+xE/+ThNa75/ou7dibgkVxXlUlWjbtPWHF0Yu4Qo7DVc4Kr2VuISLvT2ayNOF4Zr3reGOD93BRxZ9xFi3OLfY8OQd6D1A72gvTQNNcTUYjRSunRweTSddI13G691du7ni0SvY17OP8vxgv8NwffIUmcfj1nI6Z5rIM+fkCWHjcK10lsiz67RmVh8//br64boPT79imI+SiC0hx6Rtl5EtFxCCVLh5pZRRS3gTagkzzZiRfoO/3v7rCEOl9jdrHt/q8yfWcO0XpZQnA98DZgFrhRCvCiF+KIT4oBDCeW4QlxtGei0dcm6p3itvhN2t/bT2jVK/rIIlFUXke7RDdGxVMevWnMFd154KQOWEJ68tQoVtPHhcHioKKjgycAQItmDJc+dx4cILjcIICIq8Yd8wDU0NxvK2oTZiJZInL5PhWrPI+9X2XxnHQq8yBqgoqIg6zkwTGk5AP49m2rE3ZrzA3uFaw5NnI89WPPOPJjJ2KqY1s/r7NYf707lfDVOD5Ym9WDey3qJFxmx7XOHaacb8xGOfCLt8/Z71MY8fbR+JYvXvL64MWynlu1LKn0kpLwI+DLwE/B3wmqVWpYMUiLz5s7WZLg50DLJpj+b21dummDlj8WxqJponzy7Mw+0SESts40UvsgAo9BRGXE8vvPjSc1/iZ1t/ZizXRdHQ+NCUi2jPSA/Dpo7nk1uomAsvMuWt0EXeqspVIYLVbXoOWVi6MOy2580/z3g9nOHO7tmIXauzkyWkutbO4VobevKmO1bJhmv1Jrx2ErXh0IVEIg2DE/lsk7//gN7fMe6RYiMT4dp4r++prq79y7t/MV6n3ZMnhDhfCHGXEOKkifdrAKSUwxN5eTdJKU+11Kp0IKwXefNK8ynKy2Fvaz8v7G7j2Koiw7sXCbdLUFGUF3HO23jR8/K8OV7DMxKOIk8R7cPtRkPRCxdeCGievN7RXs5bfx53bLnDWF9KyVUbruIzTwRTMKd48iZyql7d38qK7zzN4Gj6b9Zdw13ku/NZULKAjqFgfsXg+CC3vP8WbjzpxilTwOnc8aE7+Nf3aw1Hs6lXmF3Qz6MZJ/L0qlVc9g7X2tCTN11rjVR58uyGfr5kovVOg3vckC/+FIVrY9FHGfd+R9i9Vb/l7tHUtRuOxZP3ZeCbwN8LIT4MnJQya9KJyw2jfRCw7ocjhODYqiJe3d/J6we6+PDyqpi2qyrJozVCTp6Z7sGxiAUaOronr9JbOe165kKOX334V3z3zO8Cmsjb2bGT/rF+/vBOcNqg9uF2mgeb2d292wjHRqqufXZXE8Pjfg51Wlu9HAvdo92U55dTnFvMwPiAsXxW/iyuXn41XzjxCxG3dbvcRpWt8uRNz+p1q7nn7XssHVP35GUy3J8KQnLysG+41sr5Tq0i1Z485FRRazcRbhyDGPPWzCT7Xa7NGTUKL8YtFv9CmMK1MR7zTDVDjrovC3/TVrcwimW0dillj5TyZrTWKadZakGmcLkBqQk9C1l9zBz2tA7gC0guPD42kVdZkk9b3wgv7G7jo7/YxIt72sOu9/nfb+acOxoYGY98cdNFnp7EHgmzyFtWvowiTxEFOQW0DrWyr2ef8Te9EOPdrneNZU39TUDknDyEtrxrMP03687hTsrzy/F6vAz7hsl15ZLvzudHZ/8opu29OVrIXXnyIiOlpHe0lx9v+bGl4xoiL4OFO6nAfANwCfuGa3XRZCdP3nSFYIEkH9Ad48nTw7VpashrHkcKkfJHkpjEWAJGpKMZcioe2HZ17cLK3MdYRN7j+gsp5b8A1j6+J4gQolAIsVUI8bHplkUeYCKUaXHI9hOn1FLm9XDR8dWcPH9WTNtos16M8Ovn9/FOcx9f+MMWHtl+JGSdcX+ANw73MDzu592WyE2M5xXNA6J78sy5e1XeKoQQVHmraBtqCxF5ekuSXZ27jGWH+7U+ZpNFXo4rhxyRg9utXZg7B9PfSqVjuIM53jkU5BQgkYwFxvj8CZ8Pqa6djvwcrdpZefIik6pp6/TzaNQ3s6aV029iLqGFa8OJvMN9hzN+zul2uRKa7TI1pDwnz6ZeVR2zAIpma6oeHlL9SBLL95BIex+7f7eR+Pamb1s6XtRfs5TykUnv/zuZHQohfieEaBNC7Jy0/CIhxG4hxD4hxL/EMNS3gPtiWBYevS/aSE9Mq8fKgtmFbLnlPP73M+FnqAhHdUk+3UPjbDnUzSdPrWN+uZdvP7gjxGN3qDPY0+9gxyD+gAw7S8apVadyyeJL+Pqqr0+7z0WliwDNe6I/uVd6KzWR1x0Uea1DrYDmydNbj+g96CaLPNA8iG6XZnfPUPqrJDuGO5hTMMfwyEH45seR0NfN9A3XzqRK5OmevEzPmGI1IXPXhrnk9o72cvFDF3PT8zel27QQ7NgMebpzLemcvAwVXvgD/oTCk9E+r3WevFD+tyw1Lad0wRbP9xjuM25v28621m3hVraMqMfW9OeGxgY27N/AkweetM6AJIjrkU0I8WEhxN1CiJ8IIT4nhDhFCBFbE7cga4GLJo3rBn4NfARYAVwjhFghhFgphNgw6f9KIcR5wDtAq2mMKcumRRcmA+FDo8mQ447vSfi4ucFCgI+vquGr5y5laMzP/vagsNvXZhJ5nYN88L9e4Ob735wyltfj5Ydn/5Bl5cum3ef8kvl8YuknuP2DtxvLKr2VtAy18F7ve5xWrUXlWwe1w7mraxfvr34/JbklxowEek6eRwRDw3nuPCNcO5Dmwosx/xjdo91UFFTg9SQm8pQnLzrx9FKMh2zIyUNMvant7NCed19rzmyTAv17tVP4MpWevIAMhA3XJlvgMJ0gaB1s5aQ/nMQDex+I2cZYxoUIOXkJCNiQ/fjH2VqQH/cYSe0z3N+nEcWfefIzXPvUtVOW//XwX5O2Kxr6PPH6vRDgpudv4tubvs0/b/xnW+R3Ri6/DM8fga9MbPc+4HLgeOCY6TYyI6XcKIRYOGnx6cA+KeV+ACHEOuAyKeWPCDNtmhDiHKAQTRAOCyGeAKYskzL0CjFRGbwGoKZ6DgC7tm6k9Ui8h8FaBkeDJ8LQobdo79PMfnLT67RVabY9+5524yvIgb9u38+RHj9Htg/z8erEw8311MMBaDjQAMBI9wgtgy0AzBvRwr4vv/Uyz25/liMDRzjDcwallLLj8A4aRht4e0CbPm3z65t5L+c9bVAfjAc0gfTOnv00iKaE7YuF/279b/JEHmsq19A42khABhg9Msp+gnPXHtp3iIaWhpjGax3XRO22Hdtw7bdP2MpODPmDBTUNDQ2WjDkwMEBr14TXeN+7NHRYM64d6PJpbX12795N72AvI4GRkOP2+sDrACzPX27Z8UyEt4beAqCnuyejdpjZ9PImStzaQ7D5hpkv8mnvaE/Kzo0bNzI2Nkbz0eaQcQYGBpIat/FwIwD79++noTN0nKd7nwbg3m33MufonKhjvfjii8brrs6uae06Oe9kXhx7MWTZ5M8WCwODg6C7bvyj4AmKvDM2fJLb5v/XtNvHur+BAa0wbtu2bTQNhb9P6GMdHD0IgM/nizj+5OUPvv0gS7uWxmSLmav+chUVngr+rvzvjGUvvvgiua5cnu97nnmeeSwvWA7Ab9p+Y6xz7r3n8u81/x4y1vce+15E+6bj9dc3T1mW6DkZr7rZJ6V8aOL1/QntMTw1QKPpfRPw/kgrSylvARBCXAd0TIi5cMsmb3cncCfAqaeskvAex9WWc9zqems+RRLk1rRQUZzHKQtm0T04xq2vPkvpvMXUn70YgEfbtlNd0kldeQGbDwbLrc9cfTZ5OcEecOP+AD964l0uPWkeJ9VNnb5rOo7sOsJzrz8HwFVnXcVTTz9FS0ELrxx9hZqiGm48/0Z+8LcfsL93P/X19bTtboNOOPuss6nwav0AKx+tpKe/D/BRXrWA+voTptljZPrH+vmf7f/D9SuvZ05B5IvhTb/XQlz19fU8tPchaIErzr6Cpv4m7n7ubgBWrVxF/YL6mPbbMtjC99d/n0VLF1F/bGzbZBtdI10w0dapvr7ekjEbGhqo9dbCLpg3fx71q6wZ1w4cGTgCD8Bxy4/j0IFD9I/1hxy3h55/CDqhtrLWsuOZCGMHx+BFKC8vz6gdAPxe++fMM880ri3+gB8mCv6XlC+hLL8sMTsnxj777LPxPOChpqaG+jPqjeVerzepcevm18FOWLx4MfUrQ8fRr1clpSXT70O38YNna64VYFb5rGm32b51Oy+/83JIC6J58+ZRf+Y0+wnD3iOF4AtfkDgohzlj9RlGxCOczbEeu/957H+gC046+SQ6DndocbhJ6GO91f4WPAE57pyp40/e78T7oqKiyLb8PrJdu0Z2sWtkF7++4tch30NBToHx/e24dgcAf372zzAR9GnztcES4FBwLMP5ods3zX7NlB1bCC+FRpMS/U3G66p4UQjxdWF9EkO48aL6OaWUa6WUG6ItC9mREJcIIe7s7esHjxcGYp/hIZVcdEI1pyzQCjXKvB7ycly0m9qqHO0ZpnZWAbWzvCHbtfWN0to3wusHNG/BG4d7+N3LB/jGfdvjtqG2qNZ4vXTWUqq8Vbxy9BUA7r7wbuYUzGFe0TyODhxFSmnkTuXlBCP2s/JmgXcP+bV/Sipcu37Pev6464/cvzvys4TuKgftKf9A7wFyXbnUFtWGhGvN+XnRUDl50bE6XNsy2MLu4d3GuCP+mVXZHNKaJEy4tndMO4/D3jjTSKwzK6QT8+/QfNzcwp10Tp4erp2MVbltVoS9483Jm7zPxKY1C9LqnuoHuuWlW+IeMxz6eRaQgYQaPUfDPOaof5Rz7zuXhsYG/noo/jDus4eeDXnfO9ob9vuYnFf7Znswpap7JPZeeN969R/itDAy8Yq844EvAc1CiMeFED8QQvxdtI1ioAmoM72vBY5aMO4UpJSPSSnXlJaWQlElDNpD5JkRQjDLm0v3UDA3qbVvlOrSfGf9aoYAACAASURBVGpnheaXtfaN8LV127nq/71K58Aozb3aRfE9Uz5frJxWfRqleaVcuPBCCnIKjArdioIK5hVq4dt5RfMY8Y/QPdodFHmmuXUHxrX9eorfCSvyBsYGONB7IKotzYPNQHAGjnDorVwA+sb6ONh3kPkl83G73CF5eAWe+AsvZprQsBKrCy9ue/02ftX2KyOvZabl5On3J2PGi0k5X/o0e5lurWK0ULFRTp75d2g+bi7hsqy6dkpOXhq+h1hFS1w5eSloB3PEM1XkPXPoGUvGNk9rFg1DsCX48doG22gbbuOm52/iaw1fi2mbW1+91Xi9qWlTyN9Wr1vNf78RXw3ql577UlzrW0W805pdIaU8FlgEfBfYC5xhgR2bgaVCiEVCiFzgauBRC8adguHJ6+2FwkrbePImU+b1GNWpUkqae4epLskPKdIA6Bwc49X9nYBWkGH2/oWrvp0Or8fLM594htvOvg0ItmM5seJE46lLb71ydOCocTPWZ7oAuHTRVcbrvpGpQunmF2/m0ocvjdqHThd5eguXcDQOBCP8nSOdHOo7xPxibY7awpzglG7xePI8Lg8u4WJoPP2NnJ2C1TNS6AnSA2Najs5M61GoixOXcOESrileC/1hKdMiz47NkMf9wQp93dN7cuXJlvQbjFRdm47WGzFX15rXi7aJnNpIN7HCi+hYMb+0IfJkHK1s4vhq9IeAgAwkJA7N89g+dfApHt73cMjfnzv0XFzjvd35dlzruwoORV8plnFiWUkI8d2Jf88SQhRPTGm2ZSI0+o14diiE+DPwKrBMCNEkhLheSukDbgSeBnYB90kp4zsiMTLFk+cAkdc7PM7IeIDq0nw+eGwFJ9SU8I3zjwWgx+Tta+oepm1SiDdevJ7gdGirKlcBsLpmtfF3XfgdHTjKqH+UXFduyIXkrKoLGGm+QrN7rHPK+C8ffdnYfjr0ApDO4alj6Jg9eR1DHRzuP8yC0gVAaLPneKprhRAU5BQw4h+xRWWUHbFa5OkzpvSNaXlAqWrRkinM/efCzXihi7x0f+4R30jId2nHZsjmqkX9OJ47/1zcLnfSaQORmiEn+7uPZftYRU1IuDZK1W9ABpL67npHexkcH0TGMMbPt/484f3o6II0VdO17evZx9MHn+bEe07kx5uTb9z+7y//e/SVLKRw4W+irxQDsXrydP/s14DXhBB7hBAPCyH+QwhxZTw7lFJeI6WcK6X0SClrpZR3Tyx/Qkp5rJRyiZTyB/GMmTBFlTAQW8eVdFNWkEvPsCbgWibmta2emBt3w01n8/nVWp+7rsHgE1VT93CIJ+9wV3LeqMuOuYzfXfg7Lj/mcmOZLvKaB5sZ84+FhGpBa5sS8GlTgw34Qit/zRc/XcRN/vt9u+/jUN8hw5PXNdIV0b7G/qAnb2fnTnwBHwtLFgJQlFtk/M2cnxcLJbklNA80c97683hgT2ytDmJhpohGq8WInovWNzozRZ7+BK83Q47kyUtVa5pInHbvaXyjIfiMbvdmyJM9opbMXSvlFO9XsuNOl2Ji7DtWkWduhpxA3pre7ioWVq9bzYfv+3BMtt3zjgVzIkxoyViOd6LXhMf3a3M5vND4QkLbT8fBvoOWeDSnRSSfuhLTr1lK+erEv1dJKVcAK4H/AN7DmnBt2ggJ15bMg+EuGLdfkn2Z10P3hCeveWK+2rmlwcRsb66bXLeLgx3B3Lv2/lHa+keoLtHWa+xK7nPluHI4rfo03K5g9W5JbglFniKODBzRPHnu3JBtBkd9SL8WKh2aJPI6R4JeOb3Jss64f5yvPv9V/vNv/8nNL95sFFV0jXRFvAg09jdSV6ylcm5p2QIEmzybGzSX5sbXzHNu4VwaGhtoG2rjZ9t+Fte20/GBdR/gl9t+abxv7Gvke698z3HNf6325OW7J0TehCcv02FLq9E72BviZJLnQk97yMTnfr7xeeO1cSO1jyMvRPjq05i5hMuSwguJJCADhsh77VOvcd7885IO18YU7o5xF+ZzJZGcvFebX41tRxMM+TKQpiKjC9j/2qy1bTF7dsMONWmcVIg7M5tbprY6sRJXfnPyY8SzshBithDiS8Cn0Nqv3Dcxp61jCAnXlk7UevSmtpdbIpR5c+kdGkdKSWuv7skLhh2FEMwq9LCnLTjFWfvAKO39o5xQU4rHLZL25EWiurCa5sFmRv2jYT150q95zob9oWX4e7v3Gq/Ngg+0ZN6GpgYgOE/uMWXH4Jd++sfCT+PW2N/ICXNOQCDY2roVgEUli6asF20e38nMLZprXEyKPEVR1o4NKSX9Y/3cteMuY9nPtv2MB/Y+EL5bu41JmSdvhoo8HZeYCNdOuhHpxQWZ9mDqIsrKnLyADNDQ2JCwF/u5w8G8J/346GLZimbIZpHn9XjxerxRbR0PjLO7azegRSQm5+/GVEiQCk9eGK9kIjzji70KNBmMGS8IX+Vs5p1Orb+KOUczHNFEYDYS7xnxEFAB/BD4MdArhNg1/SY2Rhd5PbG7tNNFmdfDmD/A0Jif5t4RhIDK4lBBNcuby97WAeO95skbpbo0j9pZXhq7UyPyqrxVtA+1M+Yfm+LJM4s8HwNG8cehvkOseXaNsV7HcEfIdnrodc37guscU6b12O4e6eZA74GQi9yYf4zWwVYWliykLK+MId8QFQUVlOXH1xswHGfMDTqnrbrhTXfx6Rm1dmq9VGO1J0/PmTRy8tIctkwXQoiw4dpMePLCHeNUVNf+ZfdfuOn5m3hs/2MJbX/vrnuN1/rxcQu3ZZ48v/SHCKNwntbJ3LH5Dq587Eoa+xs5f/35fObJz0QcP+K+Eyi8SFd17T6ZnsKnRKY1myzsJx/H3+74bVw2fPHEL8a1vhOJV+QVSyn/A2iVUn4IuAZtmjLHEBKuLdM9eY3Tb5QBZnk171PP8DgtvSPMKcrDM2m6tDKvx2hTsry6mCPdw/QMjVNZrLVaaQzjydvd0s/QWHI3aX2O2xHfyJTeXoOjfvAXIBCInCEGJ+zTy82rvFUsLFloiLz1e9azs2MnncOdlOSWcGLFicZYush78sCTXPrwpdy/J9gz78jAESSSuuI6yvPLATip8qQQW+75yD3cdcFdxMsFCy6gpqgG0Kp7rcilG/VNDcnqYcrB8fjb3WQSqz1OujdYv9jPJE+e+dxxET5cq88Fnexx9QV8IXmq0zEWmJrrk4o+efq0iPq/yWDkDFrkydPH1At/QBMe0c4/vffZb7ZrifF7uvckbUdE+8zh2hg8eXYKtUfDfJ7FM5ev7tUDeK8n2Gz4uqeu43+2/09cNnzu+M/FtX668db9jtw5z0ZfcRriFXm6xB8VQhRIKR8APpqUBWkmJFxbPA+E25bh2tICzUPWMzRGS18wz85MeWHQi7ZibglHJqppK4rzmF/unRKuHRn3c+HPN/L5tcnlEVR4K+gc6aRvrG9Ke5KB0XHARb6rGOEepH9EE3mN/Y0U5BRw5/l3MrtgNh3DHfgCPm599VauefwaOkc6mV0wmyVlS4yxdJG3tU0LxZpL2vWbWV1xnXHD0quBdU6uPDnEKxcrXo+Xxz/+ON889ZuM+kcND1MyhOu7p3tBrRg/naSqulYn02FLK9mwP9iX3e1yTwnXmqvMk/3cv3zjl3z0wY+GLWqajLmRuFX7D4fuJbOiLYlZ5FnVDDmcJy+aqboHKpJ3MhZvWqzH40+7/hTzNpE8eXYt+ErEkwfwyQ2fNJwE5nxxPWUnHianG9kN4R4lryK5OXjjFXl3CCHK0SY1+p0Q4ia0KcmciTtHK77osZ8nr2zCk9c7pHnyqkunirwyryYSCjxullQGc8cqJ0Rez9A4fSPBHIZDnZro+9v+yBWrsVDlrSIgAzT2N1LoKQz528CodqMo8pQi3ENa+FZKDvcd5vJjLmdx2WLmFMyhc7iT5oFgUmnncCez82cbffhAm3UDgjl6e7v3Gvl5usirLa7l+NnHA3BWzVlJfS4zbpebykKtGXTbUPJtdqZr8BvuhhuN3qFx/vDqwYxcwC0XA5PuSzPJk2cuMBJMhGtNN2vzuZVsmHpri3aTiybydnXu4vz1509Znso+eVZ8p1bn5D2490EgdDYD0bGHQAK/x3iJNZSr95CMto2+XTgvbLofmtqHIvc2DUci58bg+CABGeBzTyXniTOLxJlKzCJPCOEClkkpu6SUPwWeQJul4rJUGZcWSmttGa4tM4dr+0ZCKmt1Koq0p5DywlwqTPl6VSX5zC/XPGzmkO3+9oGQ7V/Y3caFP9tozJIRK/pMGO3D7VNE3uCoj8JcNyW5pQj3IAOjPrpGuhgYHzAaFesi72DfQWO79uF2ZhfMxiVcnFZ9GseVH8fsgtlAUAT5pI9NTZs41HeIra1bKcgpYHb+bG4961bu/ei9LC5dHNfniEaVtwqwRuSF8+TpUzYlIvJueXgH//7I27zZlPob0mSszpmbLCpmkifP4woW/ejipG+0z7iR6w8tBTkFSQsh/QYfTQxsbw8/5WEq+uRZ6cnTj5lVOXl6mNzcb1MceoVAlEbo0XL24prBIcr28bZQceGaUiyW7oemyx65jC8+Fz3XTT/PvvHiN+I+Pwo9hYz4RqYU8CXCI5c9kvQYdiZmkSelDADnmt7/QUr5z6lqWpwqQnLyQCu+iNWT1/wm/OEK2P9i6gycoGwiXNvcO0Lv8DhVYcK1x0x470Z9/pCijLpyL3XhRN5Eu5V8j/a1//m1w+xu7eeZt+PLl9FFHjBF5PWPjFOUn0NpXhnCPUTHYJ9xMZ1foom82fmz6R/vZ29PsNq2sb+ROQVzAPh/5/0/7r34Xrw5XuMmeWrVqcwpmENDYwOXPHQJzx56ltriWoQQeD1e3lfxvrg+Qzyf8+hg8jPshfPk6TM7JBKu3XpIq4DzB9Lv9bI6XJuJaaXShTkcJISgZ6SH7tFu7t55NwAD49qDV2leadKf2xBUUcSAeYYaM6k47obwtMDjbBahLpfLsocN8+eO5YY4Xe9OmP6zzs7XHlxXzF4R0/bx5uQJIfi3M/4tZLnVv1edXZ3hay77x/p5+cjLUbfXf/eJ2OcP+C1r97K4zFrngN2IN1y7XQjx3QmvniMJyckDKF8EfU2x9cp7/Bvw3l/hyW9BisNkuidvd4smAMJ58k6o0T7Dx0+uCfHklRZ4DJFnzst7b8KTNzIewOcPGJWv+9pCPXzRMIs8n8/D7U+9i29irM6BMWYX5lGePwuXp4vvvfFpPve05lLXe9rpYm5y6xD9Auhxe/C4PFqbmLxZgNaEeeWclbzW8prx1KevnyrmFs5lVt4streF93zEQ7ipunRPnt4EOB703omjvgyIvBS3KZhJnjxz9blLuAyBoDdp1T15pbmlSX/uWOcCNfeQNJOK4x7P/KTRiKW6tnO4k19s+0VMAtDcwiO4DAajeDLDhcPNy3S71r69dsp675/7fgCjWCwcET15MeTkQfoemp5vfJ593fsS3t7sMdab7E8m0vSSEskPX/thwvvOJuIVa3Vo88oeFUI8IoT4TyHE36XArvRReRzIAHREqZDq2AdNm6F8MbTvgo69068fDb8Pnv0ONIYvgsj3uMn3uNjVrN0EwhVeLJpTyIvfrOfmC5expKKIfI+LDx2rTXZeWuBhltfDgQ5zuDZYxdk34uP/s3fdcVJUWfdUde7JiTQjDEPOKKAIKkNQMGHANYHiqt+qi66uOa6sYXVXdM3ZVcwRAwpiYkSC5DBkGOIkJqfOob4/Xr2qV91V3dVhZhA9/PhNd+Wurq536tx7z613EHVpf50DzS4f5n61DQ2O6A7b7A1q1W4PXiopw9ZKQlRq2zzIS7Mgx5YFzuCFM9Ai3WRoxSoNw4YmytLpLNItpFcvrcpln6LPLjo76rEmAp7jMTR3qOSJlQjUlDwpXOuNPeRq4MkN0tsJJC/Z4drQ8NexpOSxRSXBYDAsJEqNsFNMKUkjWdEUH608pHZR8pKQ37e/eT8A+eHCyBs1c/Ie+fURvF76On6t+jX6sXHhif+LUuzw8LyialMPWNNdej2rpWHQ7ybSudYic1rT39vxHjbVbNIsvGivh6aXN7+MC766AMPmD8MpH54SfQUGgiAojIS1/EhPev8k1ek1zpqILS//gIxYSd4dgiAMAtALwD8B7AVwYtKPqiPRRZTNa6LY/e0iT944S+yBV74msf0eXA6seAb47GrNRTJtZuwUlTy1wgsA6JWTAovRAKvJgF/unITnLz9emleUlyrl4QmCgH21bUi1kKf4JqcXdWILtPJGJ77bVo23Vh7Ai0u1n8waHF7MX3kAgiDfSJwu8uOsbHIhGBRQ3uhC13QLcu3KJ1UTb5JUDWpY3OZrw6iuo6Rl1JQ5So66p3ZHYUahNH3B9AWKdmsA0OjwovDub/Dt1sRdwilybblodCduDqqWk0enxZOTR0leZyh5yR40QknjsaTksZ8lIASk69nIkd8hDVWZDebElTydOXmaSp74PbRHMU8i27x2ybUA5OOLpOTRSns9FcbpZvIAOa6HXLDVYiAEOJItCo0uaCHSZ6XfccS8PoF9GT0n7/E1j+OKxVdIZsihOZUd8dAUyz1swZ4FGP62/vQaNTVv5qKZutfXQmiq0bGKeMyQIQiCRxCEDYIgzAeQvOaeHYCwnLzsPoDBDByJklq48xug+wigaBJgyQDK18W+84Z9gF9UdKq3kr9Nh4iqp4KcVDN8AfLD1iJ5LPLSLEizyonevXNTsF/Mw9tf50CL24+T+xAi1eTyoa6NHEtlkxs1IuFz+7UHmieW7MSDX23D8r11chWsn5gP17V5sLWyGQ0OL8YW5aBfFiFyNj4LUwun4pHxj0jbKUgrkH5gxQXF0nQaxmVBiVBBagF6pfeSprOEj2KbqCa+smyf5meIFZnWTDR6GhMe+FindrqtRAovjJ1I8pKd4xNKboKdkGfYXmDPVUAISNczHYjpZ7cYLAl/br2WFFrXMl0vqSQ7CTUclLjR4zLyRnAcp3qctO/u3FVzo26X3m9uHXVr2LxIv/dohRd6VDq924/HDDmeQia2wri98eDKB2NanlZBhyKZ7ecuGXBJQts6mqGL5HEcdzHHcY8DSOM4bhDHKYytXm2fQ2sfhOXkGYxA3kCgcqP2Sq1HgMNrgIHnADwP5J8QO8mr2ws8ezzw7d3kfQvTxLpxv+oqPTJJJ4DsFDPsZvWn70goyktBTasHDQ4v/v7xZnAccPYwQs4ONzjhDQRRmGOHNxCUEvmbXdoDeHkjISWVTS7cdeJdGNdjHAQ3ybOrbfWgZFctOA6Y0D8PJ/cYCzj7Y7T9esybMA9nFcl2ihzH4Z/j/omTup+E8/rKxdlqeRkPj3sYg7IHYVjuMBSmF0rT2apFinoHIapUrUwG0s3p8AV9quaxscAnyCSPDvyU5Dn9zpgbXfMiSaC5kB2JZJO80O1FG0R/S2C/Vw6cZIpNr186P5lKXrTvh53PDnSUnLSLkhfDgBy6f1pQQo87kpIXS2UwPd9q95JI24lGxiPZJekx/GY/P3tNxGuGrEfJu7UknOgmAwv2LMB7O97D1UuuxoMrH8SkjyfFvI1/r/236vSNNRHGbB1gr/37x96PQdmDEtre0Qq9o+EKAFYA1wJ4CsAAjuOaAFQCiM1/42hEn0nAqucBZwNgV0mI3b0YgAAMEIlKwRjgl3mA1wGYdUq+B5eTv1s/Bc55CmhjKlprdwK5/cJWyRdJXmGOPWyeHhTlklDqB2sOYfPhJjx83hAMLyDktkwsthhxXCYO1DuxsoyYS9a2KsOKrPeS00tuOA0OLy7rORkTCyZhQMliaVqzy4ee2XbkiNYuqU1/RWpeuDoHAFMLp2Jq4VQAYishIYhMS3hLsnH54yT/uxQhBYNzBuOUfPX8D6pqJTNPjeaKbKndgjRzGgZmD4xrO6yS5w16YTKY4PK7pM/e4mlRzUnUAh2D/IHfvk9emJJ3DOXksYTKyBslJY+GTP1BPzhwMPLGxKtrxWf2aN8Pux/aUo5dr7NJdighpIMxPT4Db5B+N6GIpXcrDf+qEbpIuYRq55ctrFpdvTrqunpz8rrau6KijQgCeqxbOHBhRK+z2gS+Xvo6ntnwjPSezcELxWOrH+uIQ4qIHQ2/3Q6tkaDrFyEIQoUgCG8DOE8QhDMFQSgCMAXAgwBip+ZHG4ZdBAQDwPcPqFfNbvsCyCoEuhLTXRSMJsUalTFUXVaXkr9UBG09AnQbRl7Xqif2U3LXPcOmOj8aivIIAX3314MwGThcNOo4yUC5TCzCGFFAiJXbR24gbOHFa8v24bQnlkqkqVYM6da1edDo8OKHHUekcHKT04eqZqWfX6rFKLVdi4TPp3+O9856L+pTOMdx+Oicj3DT8Tepzqckz5dEdSvVTEje1Uuuxp8Wxl9jxA729Enf7XdLXnyxFl/QM+XrhNBmsgeNUOXpWM3Jy7BkSIUWlOQFggEYeAOMnDHxzy1eFNFUYZZgsPl57RKujQOh+6fETU9OXiwkjxZyhHZcARAxzKymSj61/ild+9RVeMGMQROOmwAAGJ8/XpeSp9axo7O+T7ZbRzS0d8X+7xl6w7U/chw3RBCEFeL76QD+CsAoCMJvq/GmGroNA069Fdj4LvD1LQA7cLZUAft/BoZdLMsn+aPJ3/IY2oO1iMUArgbA3QK0VZN8wPQCTZJ39vAeOK1/Hq49tXccHwrolWMHxxG7jeN7ZsFmNiDdSm7qexkljwVL8h5dtAOHG1zYV9eGQFBApdg2rb7Ni38u3Ia/vCNXxzY6vahudqMHQ0hTrUaprVkkFGUWJcXnzuMjNzN/MHnqVpopTfGeVeRiATvw+oI+eANe+II+KbcxVhsVnqfh2o5X8ugNOVmdEUJJ47GYk/f4qY9jaO5QaXBnlTwTb0pKBwdJ8YpCwun3N61wmoJg09fJDNfGc42EHj99+KO/odDz5Q/68aeFf8LPh39WkLzP93wecT80dB6r+XMiDzmxKnnS9cJFD7p9WfYlqhxV6JbSTTG9s5TxWldsnS86G1oVvu2Bd858J8Y14v9N6n3sKaCmxxzHjQPwLoCeIK3NLoh770cTJj0AnHobsP4tYOWzRGnb8TWw+A4yf8Sl8rIpOcRKpXwtWe7Z44EF10XefitT8dl0CGirAdK6AXkDgDp1kpeXZsHbV5+I43tGrubSgsVoQJqYnza+DwmbGg080qxG7BWrbmlnDPq60elDMIQk1bd5caTFLZGnZpcPy/fWSfNzUy1ocJAeu90zY1fykgWq5CWzKVNoBVaNK77uFyzJ8wa8cPjIs1HXFKLk0fd6ISl5nZiTF4tqEnF7wrGr5NFzdVZvkupBez2vqFiBlZUrERACMHJGGHhDwuQ2NHdNC3Q/VqNVui53N+7Gh7s+JPPbgRTEQhy1lDz6G7EZbQolr9Xbip0NO3HfivsU1+Q/Vv4j4n7mb58PQF3Ji0ROEzk/sSp5pbUkAiRA0G0ZMrLLSHx6rtznmz2fL21+CY+veRwAUOeqwxd7v9D0okv1pKlOP2YQ8hW3l2m0Gtj2nXqQNuieqA8tWtB7l2ZlhisBvCQIwl8ATARwV1x77iSEVdfKMwjRG3w+8MODwJP9gY9mAjsWAuNvAXL6KJcvKgb2/ggsuJZUzW75EGhQL6AAQHLwcvuT1/V7AE8LkNqFFH3U7laqh0nEn8f3hsnA4byRclFDpt2EQFAAx5GijuOyifp2Sr9cBIICml1KtaquzSMVXQCE5NGwLwCMKczC7iOtCAQFRWg5zWpEmw4lL1mgSl4giUpEmll5o9NjzaAG9gbiC/qkTgfd7OSpm77XC6nwIomqpV5IXm/tpeR1gvLw8+Gfsa8peVXZFP6gHwbOIKlF7571rjTvuu+vgy/ok3LMkqbkRdkOW9HrC/ow/YvpEpkAknv+47lGQgdbmmv47YFvAZAUCvZ8ST1twauHXqNA7WFF6wHmkV8fSSi0KBVeRMivY5W8nw7/BABYVr4MjZ5G3QVaA7IHSK9fL30dNc4aVLRV4MVNL+K9He9h2PxhmPnNTDyw4gFsr98etv71jc0YckS7K8cxgZBb5xtT3wiL3LQXtNTj5Zcu11zng50fxLUvvSRvL8dxF3Ec1wXA+QC+BABBEGoAWCKueZQhrLqWBccB578ITLwPKL4XuOYH4Mb1wBSVku/jrwD8LmD/MmDEZWTaYY2E22CQkLx80ROuQuz0kNoNyOtPttNO/XNvntwP6x84HYW5siJFW6Zl280w8BxemTUa9589CCcWkqKTeocXbp88UNS1eaX2aEPz09Hs8qFRDOteduJxyM+0gXKNHoySl2LuHCUvqYUXZqWEHy/JCw3X0qdn2j0kZiVPKrzoxJy8JEmmoaSkM5S8G3+6Eed9mfw23H7BryAe/bL6oV+WXGTlD/ph5I1J6cVKv49oigRL8gBiNsy21uvswhctJY/afKQYUxSFFx/uJAokx3FxqcvsOjbxYVur2vSjXR/FtO3QvDQ9FcyRKpHjSRf5quwrTP5kMqZ9Nk0xPVK7Rl7DWPlYxvC84Zg7bm6H7Evr3GZYVHiJiHjba+r9RfwdwHUAKgBsEARhJQBwHGcC0HGB7I6AOQWYcCdQfBdw3Bggt6/6cvknAJe+D5z9JDD9ecCcBlSsV1/WWQ8E/cRnjzfKJC+tK1HyAM28vETB8xzSrUqLANoyLVesgh3cIx3XnlqE7BRC/hqdJDxL0ez0SkreoG7paHB40eD04m+T++GxC4cjK0VW9bqH5OR1qJInkrtkeseF5mlUOeIzWg5V8ho9xLKGyvZt3tiUPDqi+47FnLxjrLpWy3wYIISGkrxkKXl6Cy+sRvmBjC0cSKqSF2O+G6Ci5IkkbGz3sQDIQGjgCSkWBAGvbHlFWi5RkvfMkeTmkT22Rlk1ShW80HPs9rsxb+08OH3OiAQwVqslPVC7PnkAnHCMkzyVj8e27EwEQSH2iQAAIABJREFUI/NGas7rndE7rt9FPH6qgE4LFUEQqgGcznEcLwiKq3MigKUaqx37GMi01eoyULtrRpuo/qR1J/9pwQZ9D5C8vP5ntN+xMsiwEZLXNcRgmZK8+jYvAkwYsMnlg8sbQNd0C7qkW6Rwbm4qWZ6SRgCKwos0ixFtXj+CQUEqFGhPeEQjZ4+v/UjeMxuewf7m/Xj0lEdj2o5CyQv4sLJiJThwGJo7FEDsSl5QHAg6IydP6oyQhH6kwLGfkxc6iNJB3MAZpHBuMsK19HvRG661GtQN1tslJy+Ga0Wr8KJXei/satgFjuPw7X4Suv1639fScjTHTLFfxgJKCyzJS2vn9Aet7+jjXR9j/vb5MBvMuHLwlZrr72veB4vBgsE5JJS69FDiw+8Vi68Im8YLyXuI+y1hZJeReHPqm1K/9Xiw9OKlktH2sPnDwua/enrHWgvH9NgTQvAgCMJ3Ym7eH8gbQPzu1NAqeuKldQPS8wHRRgEZxxFfPlsWUB9br8REQEkZ9eGjyBFJ28LNlbhngZyj0+zyobzRhYIsu0QQASAnhSiBWUx+XrpNHtBSrUYIAuAUQ78ry+pw28ebFaFgiie/24XLXlX2m3zgi6149JvwfBEtUHLnidC1I1ao9fn8quyrmLcTquRtb9iOoblD0TWlK2xGW8w5eZSEd0ZOHv0sySIDx7KS5w14Vc12AUIuAkFZyXP4HKh1qitJH+z8QHMexaqqVQB0hGvF803bDIYimT55ceXkhZD+gy0HARBiRAlZeVs5AETtMasnmZ4Np3NJenBh4Ql4pPQMSnZDr3H6mf1Bf0RCfOXiK3HJ15fgUMshAMDflv5Nmmcz2hSVtS9MfiHuY+YhgO/4W0u74rrh10V8TzG622hNmy49UOvcRHH76NvDqp9D8doZr8W9bzUkpzzuDwB5gwBHLeBQqYCSlLxuQEY+eW3JAKykdyKy+5DijQ4CDd92TVemU1Il75vSKqkd2qDu6Why+lDe5ERBlk1J8kRS2DVdVgTYp+ZUC1nWIebl3bugFJ9tKMdPO8MrVJ/7aS9W7atXhCre+fUgXvslQjFLCNojXMvigbEPSDkTsRKRUCXP5XdJRR02o03qfqEXlOR1ipLH2EAkw24jdFA/1kgeGxZlwXO8lLNHycusRbPClqtsq8S/Vv8Lf/vpb2Hz1BDN4iM0Jy8Und27Vu34A8EAgkJQImTUUiTataInvMkqeewjXbyJ7qGY8skUnPT+Sahx1kjH+/W+r7GsfJnq8mok75YTblG8V3vQLEgrwJCcIdL7RKrfyZrHlpJ3UveTAAB3jL4DpbNLMXvIbM1lh+WGK3BaiHSe/zf1f/hTf9lfle4z0sMPTUtIFv4gecmClFunouZR+5TUbkBGAXmdzpRQ53QsyZsxqgCje2Vh+ghlGzGLUalapZgNyE01o8HhRVWTWyR58tM/DdcO6UHI6qSBynyGVNGTr9XtR1ltGw7Uk6fZLeXauQWtCRRqSOHadiJ5Y7qNkZ7+Wr2tMa3LJkz7goTk0XCZ3WiH069uY6AFScnrjJw8Rh1JlJAFhWDYNo6lcK074NYMi9LiAZ7jJZNkteRqen5oHqcaWBIVrfqTbk+L5CXz/MeTe6S2f0/Ag0AwAJ7nFds94jwStiwLtqBEC+wg7WReJ4vkNXmaAADlreWKa33Oj3PClm30NKr+pkItN+pcdZi/bb5iWjAYVHyWRrf29RINnADwx1hO3phuY/DhOR9i1uDwB6lQRLtu7z/pful1pL63Y7qNwT9ODrfyied3ES/+IHnJQhdK8lTy8lqPANYMwGQFuosJmdlF8vzsPkBzOeBzh6/bDuiTl4pPbxiHojztmpn/zBiOJX8/DZl2M3YdaYU/KISFa2nhhtVkwIq7J+HlWaMU26Aefa1uHx74YissRh7pViPKarVDk7RqVy2kGw2U3AWCQrsoXFmWLKn1Gr1x6wU78PqCPrj9bknhsZlsml5VWpDDtZ2n5AGJkzy1Af1YMkP2BDywGNXJFM3DM3AGieRpLQdEJl+sEqyndy3P8ZoFIZ3du1bt+Nt8bQoljyLSeQOA0z89HVtqt0RchiVGDiZ3ONmKsj/o19wmVXa+2PsFJn48MfwYeeVQ/dmezzBv3TzFtLLmMhxulV0a4rGToagzGo5JcjAkZ4guhTNUaXvnzHcwvc906f3FAy7Gn4eSvL0u9i54ecrLMR1HR+Y7HovfY0Ro+uQlivR8UmFbuwuo20v64FK0VRMVDwAGngNM/gdwJtN0OacPAAFoPJDcY4oDD58/FGcP646LRhWIpM4oWZKEhmvZ1/mZNpiNysuJKnkH6h1YWVaPv03uh3F9ciOSPNpxo4Xx6os06CzZVo2P1pL8FLbgoj3UvHRLuhSujZXkhSp5br9b6htqN9pjD9dKhRedq+Qlq1hAMe0YUvI8fo+2kodwJU91OXFQikR+WWU5qhmySJa0SF5nFV60eduwq2GX6vf/0uaXsHDfQuk9PSe0RWAkbK7dHHE+O+gP9sjbY78TX9CHO3++M+q+IkGN5NHjj5aTy+scqnc2yJEktXxivZifkQ5O5Su7rujCuLf5W8KorqPCprHEjOM4nJZ/GgDgxG4nYnz++Ji2z+bD3j769jiPUh9+dyQvok9eIuA4Unyx42vghROBD5gOGa1HSD4eABjNpLNGZk95frbYtqyh44ovtHDF2F54YeYJUjVsJhOeLciyK3zwoknOqaKSt62ChEyG9EhHv66pOFjv1FTqKMlrYkieO0K17HXvrMddn5UiEBQUBReeOJRALUzvMx1ppjTwHC8peVrl7FoDrF/wSzcJb8AbRvJiCdcKgsCEa49BJa+Dc/Lac3/eoBcmg7Lwgv5u/IIfbd62qEoeRSTyyzaCj0aSo5G8ziLZc36cg4sWXqSaR/fpbtLBoaKtAoBMzNyB6NGPaDmKLMljB0RKwNZWr8WcH+Zg8YHFUfcVCQv2LsCOBmWk57mNzwEAXt0SueJyT9OemPeXSE6ePRhUnAuDIGDZwXLM6Tsj7m12JBZfmNh3ZeSN2HLlFqmKGQgf70Z3G43S2aVxteRMMaXgvbPew6+X/4rZQ2bji/O+wPxpcvg93ZQZYe3Y8Lsjee2KbkOB1kpACBBjZFqE0Votkzw1ZIvdNJJRYbv2DeD9S4BAcvzpFPYomVZk2s04c2g3zJnYJ8JaBJTkba8iJK9nth1DemQgEBSwo0rOlWHJWb1I8tiuG06v+mdhbV7KG50KMphMJe/RUx7F8suIEzlV8tRInifgwakfnorXS18Pm+cL+GA3kZZWvqAProBLDtfGWHjBFtT6OrG6FkicEKiR4o4mGez+kh2qpNWzanD5XdhQswE8z0f8/ukx1bvrsWDPgrD5De4GhcoV7fz5BT8MvEG1H+rknpPbJVyrBxtrNgIgnnHRcF4fYlydZ8uLuuy6I+vw8mYSTlMzE2bPA88ojp6ABy6/C1cvuVqqXE4ESw4sCZum13ezI/uqAsAtDU0ILbzICgY7NJcsERSkFSS8DY7j0C+TGJenmdOSHmIdnjdcapvZJ7MPTuh6QlK3T/EHyUsmjr8SMFqBIjGnonYHIAhiuLar9nq2TMCeC3z/APDdA4kdwze3Aru/Bao2JbYdEQVZss0KLcx4adYo3DF1YNR106wyyeM4ID/LhqH5pEiDLb5occkDPc3Ja3ayJE990GJDuvUOr1LJS3K4lj4VR1Lyahw1aPO1KVQVCl/QJ/Utdfld8Af9cuGFyR6Wk7ezugW1rerqDpuH1xlKXjILL442JU+PohYL/II/jEyFDhbUPkUL7Dn6z9r/RN1ntJxGGiJWI59G3pjcwosYBkYaXtTzwHPpQBIpCW07qIafy3/GC5uIncjdv9wdfowMcWFtQxw+B05878So208EesOwHf2b4KCkeMe7xd9FJz0ARAK9J4ciGcT4vrH34ZUpr6BPZh8MyhmU8Pb04ubhD0EQkkPP/iB5yUTBKODeSuA80Z+oZgfgagQCXtn0WAv9Tid/Vz4buQduJLA/wAO/xLeNENDijMIce8zrpohKXpPTh+7pVliMBuRn2nBctg0lu2QbFVa1a1BR8rR879iQbpPTC48/KBV7JNMrjwUdVJ7f9HxYl4pIIVd/0C8peXQ9quSp5eRNe/oXnPOc+nfIjuGdUV3LkoBjISePPYZYcyOjgZodRwLP8TDzZul1KBSVsyrKZ+i0qGbIwYBmuJYHnzSTawV0bJKep1pX9K4TseTkUcxePBvfHfwu8jHo3lpyEFpQoYXOsBVic/KeZzqBXDP0mg4/FoCkzbw17a2w6Vq+c8lQ3mxGG8bljwMAXDrg0ihLJw9Dsk+A69DVSdnWHyQv2eANQHoPwJRCbFGaiWmn5I+nhSlzgVGiy3b93vj23cb4z239DIiSi6IH/bqk4u9T+uP5y2OXkk0GHlYTucSOyyYEh+M4TBvSDSv21qPFTUga/QvI4Vo9OXlNTi/z2gePP4h0sRgkmV0vWNDBxeFz4KXNLwEAvtz7Jepd9aokTxAEeAIe+II+KQeP2jrQ91rh2iMt0ZW8zgjXsqQo0cFHK4exIwc1dl96QoWxIBAMRE2AN3AG3HkiSerPTw2/T7DmxHpIXrRzRyt6VUkezyf13McS3qOD8kOrHoq6LP0dxqK8bqjZoOMYOhYOr0OXVYve74TtxBPP99jVzkScRJaX5/cjRXrQEHDLqFvCV+wAGDgDRnUdhQ2zlN9j6Oek5uMjuowAACy6YBG+mxGZ3OtBIqHqJyc8iXOLzo1pnaA/OXUDf5C89gDHAVmFRJFrIYnCSI9C8tK6ARPuIq+bDsa3X+q1lzcQqC4FltwX33YYcByHm6f0w9D8+C44aojcM1tWAicO7AJvIIj1B4mPU4uKkseGKjWVvJCQrscXkELE7eWVx4LneFQ7qnH/ivvx95K/q9qgzN82H6PfHY1Gd6MUrqUkT1LyTETJ+6rsK1yz5BopGVsLbC5iZ4droyW1q6HGWYNXt7yKoBDU9HTrSDWP3ZcrkFwlLyAEwsK1oeeM53j0z+qP6X2mhxG2z3Z/hu8OyAOU2nmJVcmjhRdqHS9oxW+ykWx1kKp+i/YvCps3uedk3du5c4yyYtbQweHIkvIS/Gv1v6IuF61LAgVVhAHgtILTYj4eug4HgA8SelDk05/ffVbvs2Lep17QgpzQQqbQa+vTc0mRzpMTnsSH53yI49KPQ/fUKJG0JMDMm9EjpYfqvDMKz8C/To3+PbMQvHkIuBM/7j9IXnshq5BYolAlLxrJA0jensEMNMZJ8hrFMO+FrwFdBgP7SuLbThJhMpCnH5bk9RVDwOUNhBTR0GyPDCvqHV58v/0IXv5ZLkLRVPJcXmaZADz+oGTrEo/Pnl5QvyR/0I/KNmJeu6dxj0LJoyG2t7a9BQDY1bgLZoMZPMeHKXmU/N23/D6sqV4jVtqFDzaBYAC+oC+E5HVC4YWQWE7ef9b+B89tfA7rqtdJhMcgBsqoutRZSl57hGtDFbNQckUJi8VgCVOm5q6ai2c3Pht1HxQ2o01X71qe55FlyQqbx3FccpW8dtLGIlWO0t+THlw+8HLFe71Hq2Uk3V44p+gcXcvRdm+AfH+JF9agCS9X1+CpGiZ8HoEEb7xiIwZlt1/emlb3EjadYd6EeSjKJB60dpNd0QGkvbF65mosujD8oSMRBH3hv9FY8QfJay9k95ZJHm8EUrtEXQU8TxS9tsgu7qrYvQQ4sBzgDETJKzwVaAl3z+9oUEWuMDdFmpaXZoHFyOOQSPJa3GSQ6tMlFTUtbny5qUKxDS3Cxip5rW4//EFBqgZ2tSPJe/SUR9E9pTuWlS/D7G/FNjUcp1DyKOFjW1qZeBNMvEnyNKOFF6o3Y54QWFapu+eXezDzm5kKkufrDDPkYHJy8upcddL6lOhQJSIehTBesJ9BrfoyEdBKVhYPjQ8JR4rMQo3k6QEd/KYWTkWaKS0qSaNKXpY1fAAxcAbF+k6fE1cuvhJf7/s65uNioadiN5ZwWCSSF4t1SOh3ozcnj91HcUGx7v3FC73nZl31uoT2Q1UxurfxLjfSFSkh5LXNaMPknpPx/UXfy8fYDoR+QsEE6bXWb5O9tqYWTk36MeiFkTcm5E2ojsQf4v8gee2FrELA7wIqNwBpPUiunh6k5JEeuLHgyHbg/YuBTe8Rcmk0k7xATzPgia39VrIxUWx1NrxADvdyHIeCLBsONxDVhIZrRxRkoqrZjT1HSGEC7aDBKnlVzS68uqwMwaCAJqcPHAfwnKwGUl+/9lTyAOJzdKj1kGIaq+TRlkJsc3oTb4KZN8skjwnXUtw48kYAAMeTwb6uTVYrFx9YjB0NO+Bmks07u/AiHtWHFq+0elslFYoqeTQU01lKnp6G9rGAFjmwGJg9EKO7jpb3H5TbjHn8sZM8qqye3fts8DwflSDTYhC16kPaao3ine3vYGPNRtzzyz0xH1eimDdhnua8SMUsiQy0emkKDcG/evqruGzgZXHvTw/i8WGLFxf2JWbH41zk3lwrpKsut2bmGjw98WlFGDnZ9iqbr9wsVVED0OwBnWPLSep+jwZQ3sr9nkkex3EpHMet5zjuHPF9Mcdxv3Ac9zLHccWdfHhAlmhwvH8ZkFMUeVkWsZA8QSBGy5UblesDcjVvaxyqYBLx2IXD8NqVo9ErJ0Ux/bhsOw41OPHmiv3YXtUCs5HHwO5k8N91pBVXj++NQeJ7Nidv7lfb8K9FO7G1shlNTi/SrSakWoxoFIswMlNEJU/DdiUavtlSha0V0buhUH8jijZvm6LrACV57GBkNVphMshKHlXw6GA7NGco8tPEsL5I8g7Wh1trNLrk42uP9m3RkKhPHiV5Ld4WTSWPLTZob7CkRk9D+1gQENR98lgiIvWSNVrgF/wxE026vJE3hilxWssbeWPYoHzvSfdib9Ne1LpqUe+qVxxbvKDKkJ6cvNBQeaTQXyS1Tk87L1/LMPz0p5/CpuulKXqrYtXAPvjpAe2XrQcndo/f8uX6EddjWN4wlKaciAJ/QJ1gRFBkOXBJz71kVboze5+puoyWD+UxAbW2IzGiw0kex3H/4ziuhuO4rSHTp3Ect4vjuL0cx4WbGYXjLgAfM+8FAG0ArADKVdfoSOT2lV93iSEvICUPaNNJ8ta8CjzZn1TSAkDvCcDEe8lrq6iceaI36G5P5KZacPrgcI/Agiwbtle14J8Lt+ObLVXIsJlQlCsrC0Pz02E1kZu1UslzS3+bXD5k2k2wmQ1S6JYqefGEawVBwJz3N+Cc55ZHXTaU5AkQcKD5gPSeNpP3BmXVzWa0wcgb5cILMVw7KGcQjLwRFw+4WMon4sRw7cF6p3RsFE1Mo3p/Z5ghJ5iTx1YZU9WJDtp0AOzI/rUsUU22kqdlocJOo8SSXg+xhmxZkkf74UZbng6MX5z3hTT9soGXSS3Afqkg9j2JdE0A5Os2nsE/kiIX6brTdcxBE/Ls0Y2UNfchDp2C+C8WmA1mpJmi+/vFg1iKTkJxQpdwB4VYtDmOUyd5pbNL4zqeUNIY6Tuf0W8Gjks7Lq79xAK1PNajHZ2h5L0FYBo7geM4A4AXAJwJYDCAyziOG8xx3DCO474O+d+F47gpALYDYGWqXwRBOBOE/P2zQz5JJGT2kl93j0FuT8kDnHVKMzQt7P6W/C37Eeg+Apj9FdBbrKiyiDeRTg7XaqEgS5kcnW41YkA3+cY3vCATFrEXLht65UX1oabVgyanD5k2E+xmo2SnQnPytAyUI4FW9uoBJXl2ox3/OY0Y1G6r3ybNP9hCimdYLz2r0QoTb5KMb2n4oVtKN6y+fDUu6HeBFLrlODLQt3rIAM72tmT75nZKW7MEc/Lo+s2eZlnJE8O1tCihI6trg8H2U/LUCi8AJcmjXm80mT8RkqdHyaMWKgBx2lcDJWexkrwWbwuqHdXSe3os0fK11I45kiIXWviw8PyFGktqQcC4x36McR0ZiYQmg0L7dY7Qa66shoHZSoN79VBhch4qI6mZ9GEn9BypPYCd0OUE3Db6NswdNzfpRQ9q+Py8z6Xq3fZEm3jf97cmXsjS4TqnIAjLOI4rDJl8IoC9giDsAwCO4z4EcJ4gCI8BCCsr4jhuIoAUEELo4jhukSBId4lGAKqlTxzH/QXAXwCga9euKCkpSfjzREJBnz+j65Fl2FSbhoDOfRVUNaNv0I/lP34Dv8rTXreqH9GSPgDOlAKMqK8Dfa6oDuZgJ7OPlLb9GANg6/qVqDt09LmUt1Qpf7AGvwu/LPsZM/qZUNkWxOFta7FP/EZ37N6DEj8hTS0tJKSzrnQXDtcFkGLi4PcIqHSQz3i4bDc4ADv37kMJF5ugW+OUB5po10ZLHVHjuvBdYNhvgIkzYV/zPqQb0mHhLFi8dTEKjhQoOmPUVNTA75Y/98Y1G7HXoPRE3O8RK6R5Qja27iSfvdonD5zrtq0DMAAmHmh1uNr9Og5FU4tMMtesXYNKc2wFPmWNpHL6cNVhrGsVE8XFS9TjIgRn+YrlyDAmub+0Bmp8sr/k5tLN4Pcl79nXF/ChsrwSJY4SxfSmBvkcNrU0oaSkBAdbyTX+acmn6G/tr7nN0O97h4v0Qy3dVAq3y43qmuqI10RNXQ1cwfDrhn2/a9culFSUYH/zftX5Wrj38L1oDbbiuV7EBqisiXzX6/avQ4mjBFXeKvzU8hMuy7lMQSDVrHTW/LpGdR9qx3Fg4wHYeTucQScqKirCVwoFJ6Cy2R22reLoawIAfF7y+9yyeYumkmfiTPAJ4Q8N/oAfXFA/yduyZQuCe/U9zK1evRplpvjaY27+lai4g2qOQKs/0/r1G9C6R104KCkpQVlz+L7Vvq+Z2TOxqGkRfM4CNJqVvne3drkV213bUVJSgq1OOeBXuq0U5gNyZToHDn+2/RmVmytRiY4tMqyCvnZ08eKeX0gEx9d0Eqzdv4iydGQcLcHsfACHmfflAE7SWlgQhPsAgOO4qwDUCYIQ5DjuQgBTAWQCeF5jvVcBvAoAo0ePFoqLi5Nx7BFAtn9qLKuU1gFlb+CUkf2BvAHKea4m4N/nASY7cF8VsIsHxLGi2/CJ6Da+WF62sRBYBwzt1wsYWYyjDV0qW/DiZrmjQ2paOoqLx4P9SgRBAL5fhB7HFaK4mAx6/1xXAsCBzC49EGiqRVFBJsobXdh9pBWAHyeMGAb7jo3o2r0AxcWDEQt2H2kFli0DAES7NlatXoXVO1ejIK8AZ0w6Ay99+RL2Nu1Fpj0TI7uMxNJDS7ExbaMit6x/UX8cPHgQRxqJAD1lwpSwytruDd3x1MKnwBmcsBe+AORei+LiC7GyYiXofaxLzzxgLWC3mGAw8lGPNdl45stnYGoxwRf04fhRx8dsU7B27VpgO5Cbl4uh/YcC34k5TkEgNyMXVXVVOOnkk3R7gyWKfU37gC/J6wGDBqC4qDhp2xbeFtC7V28Un6Dc5pdLv0TpIRLGsqfaUVxcjLZ9bcAvwHNHnkPp7FJy/b8dvs3Q75s7zAE/ASeOPhELVyxETnpOxGvi3SXvwhq0ysvMZ7Yrvl7sWIy7z7kb+7fuB9ar71cNrfNbFcvu2LQD2Axsd21HcXExzv/ifJQ5ynDn5DvRL6uftJ7L7wLeU27r1PGnAh9pf/6MDzOkh6ji4mI455OBceLQiVj+a7SUC0H9M5VE+4QEnJEDvMCIESOICvlD+DIbrtyAYfOHhe+ZE2AxWeD0aHfIYTF02FAUH1csfTeRMHbsWGXfVh3rUEjnou5toIa2NlMS2FEnnEA6O7Fgrp+9pXsBhrNdOuBSFI8txjXrr8EbW9+Qpt929m24Dbdh2rtz0BgAzu1+C1Y0vo0GdwMuO0MuZKHXNgAMHzocxb3IMS5pWwKr0Ypsa7b+D/gbQlvJEgB+JMOe+2gpvFD7JFHlJ0EQ3hIE4Wvx9QJBEK4TBOESQRBKNHfEcedyHPdqc3P05PpOQUou+atWfEF98KhVB823M6UA/UNKxy1iVdRRGq4d3CMdj5w/FHPPJUQs1Rou33McB7ORh5spvKhvI0pPo9MnhWttJgNaRYXMYuJhMxviysljw8LeKGbKNFybbibnmTrFp5hS0DezL1p9rXhz25uKdawGq1RYwIGTwhIsaBiKt1TDYDuM1a2vAgBWV6+WlnH5iJppMfJhOXlb67bi/R3vR/mkicEf9Eth1Xhy52jYJSAEpNAtDefRz9+R1bUKC5UkhmsFQVC1UAGU+WY0tB96PTQyuZeREBqujRbq9gV9ihDyG2e8gW8u+EaxTIO7AUDiOXn0WOjvhIbgQtUvtVCckTfio3NUWF4U2Iw2rLpsVeSFuMSur2G5hLx1sXeJOSdPEARF1Wg00N+GHkITbxh4eG77VPBmWIgaP6nnJGnaVUOuClsuiCA+P+9zRY5oKNh8wx6pPY5ZggdAwX4C7sQedo8WklcOgM2aLADaR38VBGGhIAh/ycjomFBQzEgR/fTUSJ6jTvne3QyMvhq4tyJc9aM5ee7OLbyIhFlje+Gyk3riqnGFeOBs9dwDq5GHxxfE4QYn/rd8v+SpV9fmQYvbh0y7GTYzU8FqMsBqipfkyTd+hydyAj4leZTsdLGT7y3VnIqeaT1V18mwZEjr2Yw21RsyzdOjFioBMYy1t2kv+maSYh7Jg89kgC8QxNrqtRjz7hjsb96Pa5Zcg8fWPJb09lws/EG/RMbiyZ2jRMof9Evr04GsU3Ly2slChX6G0I4XgJI8vTGVKBws8fIEPJjw0YSw9dRAQ4JGzhhmgaKGDTUbFGkEJ3Y/ET3Tw69Z6qeXCL7ZR8jjiLwREZdTs32xG+0YnDNY03g40udU6+ahhDYxe7G6RnMexZyRc7Bg+gL0yewT0QPw1lG3hk0LCAHcMOKGqPugiKc1HMWf+v9J13qnFoTHmzgIKnl5kQntOUXnKFrzzR5CfERZG5iGxOrrAAAgAElEQVTbRt/G7kRCtjVbM0f0tILTEn7g+C2BPcuuQ/+X0LaOlrO2FkA/juN6cxxnBnApgK86+Zg6B9QCRa3C1hHiPO5uIVW0ajcBgwkw2jq9ujYaLEYD5k4fgn5d1avNrCYDPP4AHvxqGx76ers0/WC9E4JACi3sLMkzGmAzGeKyUGGVvLYoJI+SMToI5tqIAmsz2sIGzEIxf8dusitInhrogMYZCZELiAO40+dEhiUDFoMFrgCZZzHy8AcELN6/GO6AG6urVksEsKJNR15SnAgIAbkKNg7FjRKpoBAMI1WShUoHKnlsPpgv6MOy8mV4bctrugx8I0EqKlFR8ijxmzVolkSAFO3VfPo7b8Si5NHK7t2Nu6Nu9+afbk64QIB2YGCrzAFgxlczcOeyOzHi7RFYVr4sbP7orqOl86Y1uGt9P91SukW3KYmg5J3qiv6A1DO9pxRujqTk/Xnon9V3H8d5PbnHyQAitzgLJXn02FhTYTXMGjRLZVuxWajQY/t2xrfSe2qXpIZD9U7JPUCrMCfZliy/FbDXthBIibBkdHSGhcoHAFYBGMBxXDnHcdcIguAHcCOAJQB2APhYEIRtkbaTwP6P7nCtPRvg+OhKnrMeCPrksKwaLGlHPcmLBqvJALcviMomedCzmw2oEN+HkTwTD7vFiE2HmzBpXgmW76kL26YWYiF5dGClZI0qeZ6AJ6yU/46GRsxubsFpBafJVbkm9dZLEskziCQPhOS5/C7YjDbYjDa4/W7w1gpw1kPwB4PSIBgUghLZLG9tPxehQDCQkOJGz51f8IetT82QD7ceDluvvcCGnH+t+hVzfpyDZzc+i0pHYsGEwy3kM6gpeXTwYtU7L2tyrdHTVw0KCxWejxhCb3aT+975fc9Xnf/0xKel1yXlJXh8zeO6jyMSaLcCltws3r8YQSGIOT/OwT9W/kOxPJuvpwWta29MtzFRSVQiJrOls0ulMCQgt1Gb0W8G3jnzHc31Lux3YdRtn9Q9PBWdEqB/jvsnFl24SLrnFKQWhC2ba89VvNdTJX1awWlINYcbY+vFZ9M/w9yT5yqmXTXkKpzX57ywZdnr7vwXV+i22Gmv9nhHI05/6mc44vR5VUOHkzxBEC4TBKG7IAgmQRAKBEF4Q5y+SBCE/oIg9BEE4dF23P/RHa7lDYA9B3DUAAtvBn5g3GBY4tckdluwRvgclrSjOlyrBxYjD7cvoLhpD+4uE9ssuxk2kzxQWk0G5KSYUdXsxr46B95auR964Wby8KJZsIzvMR5m3owpvaYAAPJsRIF1+V2wGq04u+hsadmRHg9ub2iCzWiLquRJ4VoDsVkJUiXP74TdaIfdaIfL70RK7+dQlfIf+AKC4kZJyeaBlgO6P3es8Av+hBQ3KScvGAhrVUTJ4w0/6A9nJQqWLOxtkqudqdWNFnY17IqomF7z3TUA1PP8VlWSnDHWGoctYGFb5EWDHguVrXVb4fA58Gv1rwCAKT2nqG6rm11bJUpEXWUJrBpWVKxQvGdJCTvAsw3gE1Nak6cQjeo6Cg+Pfxh3jrkTI7uM1FyOEqG/DP+L5jJnFoYb/rK9jdkHyGcnPYuZg2ZK7x8/9fEwBZMqeLQrRyxkiYNasnz4eeuf1R8z+s9QTLtt9G145JRHFNNKZ5fi4fEPS+8bHF4IvyPyphd7atoU7zORWF790RKu7TAc9UoeQEK2h1YD698Clj8F1BCLBDjr5WX0kDxrOsD4tKG+TDZOPlqw+lVgh3ZfTKLkBVDbKodQhubLn7lLmhUpFlnJs5h45KXKOTyby/V/z6ySFy3c2zerL9bOWotRXUmlGe0DSl36Hz/1cay4bAU+POt9Re9HSvK0whg8x8MAo0zyQpQ8u8kOd4AlAEE4xHCwIAhS94xNNZt0feZ4wBZeJJKTFxAC2FBDSvEuyb4Ek3tOxin5pyTvQHVC6zNEy8+7aOFFmPbZNM35tHhBbfs08b6FUdp7pvfE7aNvBxDe/YFFWVMZ3tr6VthxUjPkUBXQF/Dhsm8uw00/3YTnNxLjAS2j4UgK2KtbXg2bJggCFuxZgLMWnIWbfrpJmh6aYxcajo0GNheQPaaPz5X976Nde7MHz45pn/GC4zic3/d8TXWeXa50diluOv4mzWWoojU8bziWXrwUswfPVlX3AHKv+PMQEg5+ZcorigdLiok9J2LjFRtxco+TUTq7FFtmb8HSi5fq/Wgdht9nUFYf/m16LaH1f3ck76hX8gBSYVu7Q36/QQwBsEpesxjOikXJe+9PwKdXE7J3NEAQgMV3AB/N1FzEauLh8ARQ1+bFwG5puHp8b/Rn8vfy0ixhhRfUEBkAals9aHbqq5j0MCTP6Y0eLmPVhpFdRuL20bcrEqrTzekYktlXsQ4Ni0RyvDdwZilcC44ck9PnhN1kh9VgRatXJq6cwYE2DxlA3QG3RKCOONuvnV1ACCTUY5aSkrXVa/HRLlI92dXUFU9PfLpTKua0Ci+SVWmrdo4GZJFCqVAyR5UYtg9yKK5YdAWeXP+kHPYW/5p4E4ycUbG/TTWb8PrW1wEA64+sl0j02O5jVbcdqdDihU0vKBTGHw7+gFmLZuHBlQ/icOthlBwukeY9s/EZALJiXeOMXszAglW7qMHvMxOfUYRJqZL39pkqPjMAbh9zOzbM2qA5/2gEJXl9M/si15aL28fcrk3IwaFrSleUzi7FuPxxmtsMNePOteViw6wNeLr4aWk76ttXKbxIME81DEFybDwSK/D5LeCTdYex/mAjGhxerCzTn0aUCv35uWr43ZG83wRohW1aD2DwecDmDwCvg5A8mzgIUiUvYk5eupyT56gHGkRyVx1fm5mkwx1dZbMYDShvJAPL7HGF+Me5g9EjU7aayE4xw25SFl4ML8gEAMwaSwog9tYq5e6tFc34YM2h8MNhqmtjrc7lOR6zh8wOb5YdEqaiHlaR+i0aODM4XiYbgiDA5XfBbrTDarSixdcgzeOMrWhwkEpct98thT/ZMCBAcs2GzR+WlIIMtrr2410fxxRaBKBqEEvJRa90uVNMaCi3vcASO0U3kSRV2mrZg6jNo+T5l/JfwtahcAXITZ+GQBXhWt6gUNGuWHwFXtz0IgBCNr8q+0pqr6eGaLls7++U7Xn+XvJ3bKnborrclloynZL2Jk8Tlh7SryCxZI5ykP5ZSoNo6kFZlEF6g086bhJCYTKYcHyX48N3EEdP0Ol9pre7CqYnh45GC6Iph5FgMphwXDoJ/aqenw6Cp3YaPHXFGJxeHHG5o6UAQxAERX54LLjj0y2Y8dJKnPDw97j8tdX4blu1rt7jieSPAr9DkvebCNemi3knheOBsX8FXA3A2jcIUcsmNzQ06VHy0mWfvM2Md1rtruQfczzQ4eFnNfGoFPvVdkkjxIKGaw08BwPPwW6RByyTgcPZw7vjlzsn4v9OJedqb0iOw43vb8A9C0rDQrJsuNbhCeCdVQdwuCE2AhOGEKJycveTMbrraFw7/FrNVQyc0v7hQMsB+II+2Iy2MJJnt7nQ6CKhXU/AI4XFQvPJPt5Fwlzrj6zX3K8/6NelzAWCASknb+nhpXhy3ZNR11HsJxBOeijJy0/Nx40jbwQQrmap2WwkA+xnZs9bIkresvJlqtunoBWSoZXYVMl7rVQ7REMLOSSSJ8gkz2qwSiRQC5FCwdEsU57Z8EzE+RRuvxv+oF/xULH2yFpd64aCKk2hx0bPKz1n/534X2yYpeyekEzkWHOkwqb2woBsovBqKa0AMHfcXLx95tsJm4X3z+qPRRcs0qwAVg+iJlvJs8JbOw0GleIkQCa7asVLnYF3fz2IcY//hK0VifOHv7yzHk//QKrcf95di2U7q4AG9Rzy/x6pxUUt8eXm/e5I3m8iXDv8EiBvIDD6GqDnWKDXeGDjO0BrJdBF7C8o5eRFUPKs6SRc63UAy/8LFE0kKmFzx1UuRoQ3cmI7AFgYla5rOlHwclMtuP2M/nh5FsmHY6trqRJxXLYdBVl2mA089tUp93NALNtvcCpVNg9TeLGlvAkPfLkN9ywoxaF6J/YciTP5NYTkZVgy8Oa0NyN2ifD5lIPZK1teAUCe3G1GmyInj+v+Gpp9xDTX7ZfDtVpFA5HUqePfOR4PrnwwwoeRDX6p4gQA1c5qxTLegBcvbHoBjW51M1818mRkmu/QgZQlI82eZox8ZySGzR+GJndT2PqJQCu3K14lMRAMYM6Pc6T3aiSvX1Y/vDj5Rdw55k7FdEqeI4H2tn3414exsGyhRLyMnBEpphTsadyDL/d+Gdex67H2eHzN46QDSwS4/W6ppZli+3Ek2tNj0lK36LXIc7ziukwEN59wc9i00N6ueqFlX6JWZDEibwSWX7ocUwunqqxBYDPakqa+HZd+XPh5ZUKy7R6ujYLxPcZj9uDZ+MfJ/4i6bMmuGl1pNong133kAXt/XeSxa0t5k64x46WSMtS3eTD7f2uw893bgGdHohvqw5ab4nThwXp95uih+N2RvN8Eug0F5qwGehFfJPQ7A6jbDQT9QDfRVLTxAPkbLSfP0wKU/USKNsbfDGTkAy0d2+dPE2xRiMbNI90qD/5UyQOAGyf1w+mDSZcJluSxMPAceuXYsa9W/QfZ0EZIXml5M+Yt2QW3LwCTgQwo1KJl+d46XPXmGpz+32UovPubiNYqK/bW4ZJXVilvNFGqCkPh8Pjh9JCfpYlLAdxF2HCEqBM2o03VGLZNOACA5ORRdcfhcyjIBX3d6lW/8dAw0Rd7I/dJpISIJSOhJObHQz/i5c0v4+3tci5UVVuVRM7U7EFYlYZWGLMkr94l3/giqZHxQEshjDdcG6qUaamjpxacGmbaq4ek0NDVdwe/w73L75Wm8xwvhfDuX3F/TMcsbUPHkPDejvdw3Q/XRVzG5XeFnb93tmvbi+iBVm5aLCrPExOeCJ+49wfAr/ydXjssXGk/q+gs3fth8dyk57DpivBCqP9M+A/mTZgXNl0Rqu4ENLlEu5sO3KdWONbAG3D7mNvD02BCUFbbhqveXIt7FrRvKhI9Ts1nITE6Nf35FdKYMf7xn1B49zeqiwcFYNQjpCfeeJ706c3hkuuI8QfJ+y2gz0T5dXZvEob1OQDOQPrYasGSBkAAypYCBjNQeAqQng+0tJ9Rbkxgw7Ua5q/ZKWIbMA7ISVV3vrebtW/yvXNTwp66jDz5hTa5yI39yv+txvNL9+JAvRNpVhMMPIeqZrmal1UCI4VvX/65DKv3N2B7JfMjjVENqmhyQRDIQG/kLAh6clHlIM2waU5eKASOHKvH71GoZGyuHJ2uRfL0hiYpyWPJZiiJofmArJJ3xmdn4KzPySCpRp5YckE/I9u1g63OTJZaQxF6/DTnKd5wrTugNNONJZ9Ij5KnBY7jNK159CLRDhcUlY5KXPqN/tZdkUCvl9AHnEdPeRQDswfGZCxM8/f8rWJf6/J1wLszgO+jK0XxguM4TYJ6Rq8z2m2/8aLJSUmemsHJ0ZEbF4o2sROS1gN9UuBzIyUQIUy742vgsQJyTTGo0JnDR892ojl4ofjdkbzfRE5eKLoyTa67DgFsxK5Ds9sFBS3KqNwIZPUmXTDSjyYlj/lBettUF8myk0HPbOBh4NU/a06K9sBYlJeKg/UO+JkEV5OBXPbN4hNro3hTK290wmrkYTcZUN2s7nrv1lGQ8d12prI1RqLg9AakijMTZ4XPkyXNsxltiv6mM/sr/bbcAVJ4QZWN63+4Ht8d+A7egFcid1ph3Eh5WhTegFciXqwCFUqStPzL6DGokSd2oKafkYYlgRDCF6M6Gg2h4doeqT1Up7OI5NG2u0HZTeLSAfrJTtRODTGsT734YkGiHS6iIVqnjf9N/R/Wz1IqtecUnQMAYQ840/tMxyfnfhLT/vtm9kXrrgfhaxJtSagtVf1e7ZXaERzHSabBD417qFOO4WhALFHgDYcaMeQf36LBId8H6GXLPlCt3FuHmpYktnd853w8se8Csr8Q+ntk2ZuyS0TlxoibOYnbgYsMP4dMbT/y/Lsjeb+JnLxQ8Dxw5VfA9OdJUYZdrLC1ZUZej+brVW4AcsSegBn5JIR7NJgks8ROg+TlpIokz6h9qXbPJOpFbmo42SvKTYEvICiepoxiSJaSPIqKRhesJgNsZoNmWDaSSbJVzB+cv/KATAJYQhKhE4G8fT8gKnkm3oKgTyZ5KaYUxUA3rrsy18cTIEoeNUTeXLsZt/18G57d8KzUq1SL5LGEisXa6rVYtG8RAGDs+2Nx8cKLxWOTyUQoyWMtPYDwcGi0MKhauFbrtRpo6y69CCVztCKUPc7Pdn8mhYyrHdXY1ahdvBQayqRVjHqQqErJfi9/+V7bdFcLyVLy4oXZYA4LYd9z4j1YddmqhAjwsFzyoMxzPBCU1c5EW9clA5RYHzUVpOJfoih1bk6eGl4uKYPDG8Ca/Q2obfXgi40Vqrmel7++Guc8t1z3diuaXFhVFp4PJ+GQ/ND0r0U7FMJB5o+3q67CIQhAwLn8Srxk+i8A4CPLw5hnekWx3AHrTAzlD4jrJBdHR8nKH4iOImZApzYq1GpFC+x8WpWbLjaPbqkgJNDTBliitLRZKCYhn6uvsk432HCtR53k9cggN+ReOdph6VSLEXdMHYAxheEea0V5xHx4X60Dmw43Yf3BRilce9/nW9E7R+4L2OrxIz/LBrugPdA5IuTkNYpPlh5/EA5vAKkWoyJc+/WmAzjnhCIIgoAD9U70zg3vSejyBqRwrcVgVZA86pNH0S2lu2Jdt5/k5PVI7aFoyVXeVo42kUSHkryKtgo8vvpx/HXkX1U/09VLrgZA8pF8QZ+0XTZ01uJtwfxt8zFr0CwYeIOk1FHCEhoi1kvyWPVOL8nbWLMRVy6+Es9OfBZG3ogmTxPO7XNuxP2FkjxqbE2Ps9pRjbmr5uKEshMw/8z5OP3T05XrBwNSOC7RnrsJK3kJksT2VvKiQc3axcAbEmq7BQAvn/4yahzhXn2CRA/CyctPf/oJkz4Jt2VJNqQjOAoIFNCxuXjxgD1LV7+1FqUVzXjrz2MAAC0u5b2lplX94VUNk+aVwOMPYs+jZ+LpH3bjhuK+5B6ugoomFx76eju+2VKFeocXuy3MUS26HcD7OGC9HACwLDAMpxnEXEEdgZ3QcG2i38fvTsk7JkCVvJQo5fypXeXXVMljSV7FeuCxfGDzR/JytbuB7UxlntdJOm+sfyssOTlh6FDyRhdm4+rxvfHvGcMjbmrOxL44sXc4yaNE6r7PS3Hzh5vw9qqDUmIxADz5vTJ8RJQ87WefSEoeGz6gRR0sybvn4/Xw+AP4dH05Js4rwdoDDaGbIP58YrjWYrBCCCV5jJKXYUmDmZfJFjVDpl58FEbeKOXJOfxKkvfqlldRUl6Cz/d+Lk1TIyqhAxCrtuxs2Il56+ahpLwEgKwKUsLCGjNf/8P1UfvS2gw2xXYAJTnV8uV7buNzkp3Lmuo1+OuPf5UKEy77+jJF5XCbtw13/HwHDrceDlMac6wkyZsWiNAqWy2D6Xd3vCu9TrTTSDKVvHgQyZ8tXnSmDxtFujkdfbP6hk0X6LWuQrDy7HnS65emvNRux0bP+dGi5FEapU4u2ucYY9kq/ao4DqgWw7EBsavQoQQsr6i7woIN5XhhaRme+m43vP4gHl+8E63ucHb29qqDqHdojYnyJ5IIHoARnDItwAIv3jL9O+5j1oPfHcn7TebkhYIqealRlLw0huTlieX/GSLJa66QE0S3MxWVb58HfHylnLdXwSSRNh2M/5jVoEPJM/Ac/nHuYAzpkQFsfBd4OA/4eLbusEF2ihkDu6VJXnuActXQylyrides1gUi5+Q1OL3oJtq8tNCbAhOuNcOH91cfkgo5FpdWh23DqVDybBD8soJhNyqVPD4k0d7pc0KAgILUArx2huyzdsRxRPKcc/qcWH9kPXY1kHAjDc+xJGryJ5PDjivUXFnNiHVd9TpUtFWEKW1Pb5Cb3of2KFWDxUiIK93OroZdiipSl9+FZk8z5vw4B/O3zZemvbrlVWyu3QwgnKhurd+KBXsWSO/XH1mPbw98i5c3vxy2bNcU8ruh5I+STS37j3nr5ArJRDuNRCq8mDVoVtT1I5lsU4TatrBoD5J3ywm36F42WQbUemH4MHK+5O2jb8dTxU91SLu9o4XksUdxNKt6K/fWoVZU6hQCdDCgOZ7owSLxvuzxB+B7cjCCy5/GU9+r55L25cqRhfD0kGm8uifklxZlgc/fjZ+h2LBZMS07pLqWi8O4m8XvjuT9JnPyQkGVvEjdLkLndxGrydK6A+CIkle7k0yjRMTTSrz4AKBmO/l7gMlp0DBqjBvsD9GjI4/qyznkWLd/AVToMz3lOA6f3jAOuRqVuQ0hT2JWk0EieWwe4ACxlRoleaHK1vqDDWhy+tBd7Mbh8ZPlfD5ZjTLDj0BQgFd8Yly4pTJsOy5vAAgSkpdiTAH7E001pSqUPCPPKQZ1motmMpgwtvtYvH7628gw9MamWlldcvgcuOrbq3DRwovI+RFv42ynhzpXXVhxwxGHkrzQHrks3t3xLqZ9Nk3aFg3bRhu4pxUq+79SIkurVClxo3h/5/s45cNTsKx8mUSw6pzKNkGhpDQUlBx/VfaV9Fmpb1nvjN7Scb+46UXct+I+AGLv0Vp1i4ZnNzyLuSvnxtz9IxSsEhdKuPT0Cdaj5F0x+ArNeckgeaGkTq0iPBT0uI+WkCXF7CGzcXqv06MvyCBWw2QpJ+9o+exUKVMjnQke4/I9derVpjFsd3slEWjmrzqI8/nlGMSFiA/f3AY8lg8eOlMnqreKPd0F8Aji592kfagAIMVVhXtNH0j3bBan8lvwg+VOfGe5C2ZO+dvM5aKLSAesl+N648Kw6W+Zn0A6klcl/LsjeccEBp8P5I8Chl8ceTmOA6b9Gxh3k1ykYTCRMG5Lhdz5gnbPOLRaXre+DNj/C/Dzv4FM0ZW/NclVuZ5WYgMDkBZnWz/TtFKBIJBl84kBMvaHVidpI9VixDnDlflrN07six4ZVhysVw7KdrMBNrGAome2rFb9dSIJd7t8Qdz16RaMefRHxXozXiJJuT3EIhDaIq2pVd6+ifOj1e1HfRshfrWtHtS2KXNGWCWPqmU0JJtqlkmeIPAwGDg4xfCrAWY0uEn4lw6YpWUZqG9SDrBsfpw/6McPh4hHE7VpoTjiOKIYdEJ7j6aYwvMJKaod5EmYhjkj9aMd021MmHcZJWA0J48lNzajTUFIARJ6pf1ZKb4q+0p6zZLENm8b/vbT3xQ5i4v2k8KSu0+6G5+c+wm62omS5w/68dLml7C9njzw8ByPHw8pv3eK10pfw2d7PsNb297S/Kyx4pqh16Av0/tYT75fooUTySi8CFUT9djCPDHhCcwaNEsqkOh4JI9gLTx/YUztz+IxiG5PKJW80POS2Hma9cZqTP3vsugLbl0AzM0IM8z/dmuVIirztPlFLLbcAwDIQBvS4ERQ7PWum+S9PB749GocsM7EPussFHJVyEGz4ls5bb+cj86J233H/DgAIE+F0B3PJ1atvcX6f0gFGTsEIbHr4w+S91tEl4HA//1E7FSiYez1wBmPKKdl5JNwbc0O8r5VHOB3LSJ+egAhgWteBayZwKwFAMcnx3pl2+dA1RZi5uxqlFu4bfsc+PRqYOVz6uu5mwEhAAy5EMgbRG4CPv3l8X+f0h83FPeR3vfKsWNkz0xFFa0FXtx9+AYM8ZNBvRdD8qgS6PYF8NG6w6hr80h9B4NB+cZHiSFV/NqcMsnLNAXh8PhR1yarZM1OZa6Hy+uXcvIo2bl12FN4cgLJNZPCtQIPA8eRRu5BE4ycHLaVq1oF+B1yv08DbKh11krvj3/neIkYlod8tw2eBkXYNbSrBZs7NqrrKMzoN0N6T/fR5muDP+gPa0/GQo0A0KIOquSxoWQ1o9gn1j2hCMWG4s6f5fDkyR+cjKWHl+KBFQ9I02iINdOSiYHZA+W+siGmzUEhGLUw4UDLAcX7dHMUtT0EtOgDIC3PPj9PzpXUo/SEevTFimQUXoSSPD15hkUZRbjrxLs0/eTaHUlU0VLNqTGpeUdb4QVFe1FPNecC+sn31bbhUL0TWPovAICj5oC0jMcfwPXvqkdwOHDYbP0LNln+D0HRxWAQdwi9uPCUGIoT7v4A330cnmtZYrkNKy03KULAU1tkq5791llSUYUWZhi0e0/rhQ00FP1HuPYPxIr0HsTLx9VAVD1PC+BsAEo/BYZcAGT2IoSuYR9pq5bbT1b/EkHAB3xyFfDKqcAzI4Ddi4E0sf9itdjoXKuvrks01rVnAydeCxwpBTa9p3vXGXYTrj9NJnkpFiMybPLgY+A59OEq0dO9C5cceQoA0DVDVsHSrSZYjDwWbpHJ0N8+2IiaFrecfweguD9J1qZKntMlE6U0UwBOXwBVzS5YTeSn1+JW3vCc3oBk8WIyiP1cbQNxRiExTZVCXwLxDbxm6DWwVz+KkZabpG3QQVYA4GuUe2CakaXabQIAXAHlE3OtsxYf7ZILckLDtWyXgbemvYX81HzpPVX9vt73NcZ9ME6yb1GDGgEw8AaYeJOk5B1qOSTNY3MSKb7Zp+4mTxEtXOz0OWE32qVQJVWzQvu0evwevF76etj6Wlh84WIsunCR7uUBQmLPLjobQHjoNKhDmdAyu6aIlh8XqePFS1Ne0uX5t7lGGV5X69ISCrXvtVPRgYSLEms9329HgJLN9gjXRsOkJ3/GaU8sRUAkag99s0Oa1/bZzZrkatiPJAXBwBCihZb78bPlVtXlBUHAa+Ynccb2u1XnWzh/pyusM8cVJWU7f5C83yMyjgNo/8++U8jfrZ8BnmYSAqaGyQ37gGxaldsjcSWvUaVww5oBmFOJUgcAfg0lwiVWotqygDHXAvZcoCq2SsY0pkWa3WxAhk1WkXpm22EEUd940WKFJTmK8wEAACAASURBVIFpViNsZoPCUX3x1mrMXbgNe2tI/tfTl4xEN5EYUiWPJXmpxiBa3X4crHdieAEJn4c+1Tq8AVg4olblp5IQM+vnJ+c3GWDgOXAch1SzDRZ/P2kZquT5/EEAnFS8YRJklSga5m+bj6fWPyW9Dy0oCFVr2EKMRo/c6cLld2FP456w7dNj1ArlWY1WieRtrJHNRdVIoZbHn3QMgci+eo2eRkWOoVbIssYVbsERCQVpBXG1qKLHEuoXp6X0dLV3lchXtHMRLWdPKydv2SXLcEr+KeiV3ivi+kB4PqSePEFabHPU4ChT1ToLye6+oBfUxaCMud/m7NBui5db+2tM2xcEYBQffl9i0VmfneKmSQOQjDSC3x3JOyaqaxNFwWj5NSV5+0rI3+7HE0JXsQHwOUkbNYAUbLQo87ZihopPFayZhORRuDSazztF4kAri3P6xFwIwjMdM0KVvIIsG9I5Elb0c2Q6Oz8rxQyrMXzwX1RajYteXiUvI+bzucXCC7dbJq2pxiB2VrXAHxQwooAM/q6QhtoOjx9p/vGYe/JczBzyJwBAZZO8Dap4CEGT5PeXajEqyCIdVKnCGPAQddEsqFdjT+8zPWwazUOjCA3XGjgDHj3lUbww+QUApPJXC22+tjDyQEPRWqE8m8EmERaWNMbT9kvLAJoFS1JjCVlqkSK2ujlW3DjyRlw77FpM7qmscr58kLqK8fzk53HfWFIcMnPQTMkCRg3RKjjZzzMyb6T0moaRc+3qYcirhlyluQ894dqjTsnrwAH+5B6kR/nwvMg2UbGg2eVTpJHEg1G8WkVp+5yXlordilSd2lZyz7spEHu/41ByRh+4H/hiK6bc8wpcSx6CoNGvmsXAsjdi3ncyYZhXhNmG7/7IyYsVx0R1baLofybQ82Rg7F+BvAFk2v5lRB1LyQHSuwM0H4s1UU5UyXOrEGtrhthjV4RWuIkqebSyOLuIKI1xIsWsJHmZdrNU0eQTiEqVbpXnp4tKHqBtzJzDEEEarnUxJC/FEMQeUfWjSh59Yn1h6V5MerIEDo8fqWYzZvSfgWy7HelWIyqZajRqCht09pXISIrFqDBpNhlMcHr9eO0XQoI91RfAUzsZAXcP9eNWIQVsr1ggPFxr4A2Y3mc6Tis4jRxDhEIMILz4gr7XUs0sRgtcfheCQhCt3lacVnAa3jvrvTB1Sw/0FCxEO/5YMbb72OgLaSDTmombT7g5TAHrkdJDQaYoBmYPlF7n2nLDClliAft9zD9zftj8qb2mqq532+jbpNc3jLhBMU+XkqcjpNu+6DzVZnLPyVgzcw2G5OjIsdaBZpcPI/75Hf6zZBdW76tH4d3fYGe1/i4w9ExMNmxECqffTFgPOARxMr8tTCk9v/QG4Lv7kY42TObXo4gnD5UTBHUrkkgwhOSwGR7JQ9m7t2D36m/xg+VO2FY9iRUfPBZ1O5e3vhnzvpONiww//5GT9wfigNkOXP0tMO0x0VIFJC+PEr50Ob9KNlHuQcK5nsg5PxFBW6md/hBwoZjbVDBGSfK0tk9z8mjf3qxCQjr98d2EclPNyLQz4VjBgW4c2YfJQlSFHplWvH7laNx7FmmCbhEtVQpz1AlBdooZ1tYD+MQ8F4KoPHo9rJInPz1Sk2ZK8p5Ysgv7ah34cWcNUizyQJubakGjUyZc+an5mJB+N4J150nT7GYjHN6ANJiaeBOW75EtRYLeLvDWnQ6nO9xD7f/ZO88oKcq0DV9vx8kRGMIAQ85JoiAwCAgiIgYUMWFCXV1zTuuKiqu7fmZF15xzQDEjq6KCYCIokpGchgEmdqjvx1vVFbo6TCBJXedwmK6u1D3T1Xc94X4mdpgYt/tVw5qutX5xJxJJViGpFabHEnlaurYsUEZYCdOvcT+6N+xeq0hePLTawtqIPJdwcccg2dT09KinI8s/O+mz+jk5Cx6XJynBVBdDZO3GoXdBb9sopRAi6nd5TtdzTI+tHbIe4eHNY9+Me9z91nARi32crjX6XdaVXWp5x4cLN/DRIimW5izfnnRkz/rSdyupsZ+MQ1UwxGn//Z4Xv1+jbqpwhvszXvHdCUvexWcY/5CBvJEVwKPe5CYrneeOX4ur4RUh2ix/htf8UyPLOi5PvrZ2fxKuB4nmiLxDndRcvaO2gdqJmWWI+GSp0xMikzLipGx/egnubau3vQcqYPkX8NIEOUlD88LreRp0nwBXL4Oep4IWaREuKfICldFDnsvVSF6KagWT0xJQdPuXGpKb7jNF8u764xhu9crUQOPcTJ46qw9D2zdkROcCpqgNG1okz24cGcg5u77v7qOv6w/8yz5gzfYyqqp0EZrm0kVeoyzV8Ndmgoax7i8z1RvVnFHg7YVX6OeQ4Xezo6wKRe3K9bq8uF3RIf7d5frrvbrP1bw3/j1uGnATOX69Vm/WhFmmNF1k2+rdJjFoFWd25shG/C69y3R82/H0a9wPiJ3uTHWnsrRkKdd8dQ2gd6nWZiJEvE7Hxumy8ae2Iu/YNsey8KyFpvdM22d943F5kjI7TmadeNu+esyrPHzkwzHXsaZjtdfeIbcDrbNbR6W7PS4PHfI6mJYVZRXV+hz3DQd/TV44rJsET/1gCa1vNDcBhcJKjDGN5te+Tmlg/9yW36TNSYyMymdLNjNn+XZufndR5HjdXWqJzRuT+SPlLMNe5Yke7loStR8qS/XrP/CD/yJOc3/Ozd7kG++sNBIxyoIOMJR6aP5wRN6hjhD66C3NMNkYyXOrXxia8IvXYfvpTVC2FbaoJsvvXQwvngDLPoUfn9ObPTSTZm1ih+Z9V3SEFHkzr4Inis3p4YodMrWrnU9ukfy/hinbx0/vzSXD2uJ1u0wiz4jL7WF4p4KoLyuX+rhhpn1qye9xI9Qv2CUbdjL03tms3KxfTNLdUtC5XYK8NCmstUie160fa3RXXSRkpXgid+YawVDYJOLS/R4276qiOig/zl6X19TxqxGo1oXY2NZjaZ0tU/FZXl3kNUxrGDOyp/nHyddgEXlxavIAmqXJ2s4jmx/J1EFTI2nneJG89XvWRyZkaA0MtYnkWX31xrYeG/k5xy9vGmoj8oznXtdxZPEozCiMHK+ukbxkbDq6NOgS+f10ze8acx8tMqV/pib63hz3Ju+Nf8+07ozxM6I+R4OaDeLlY17m7K5nJzyX/cZB3HiRbEnpze8uoss/PomMBIuzR/vFP78s/1/8ru3Tz85ZzenuzzhXjbiFFTjJbe+Rp53B4777o2rqAvd2gHtaRR43FKXc6X2aQ4GerhURK5Xa4og8B2iqzpZsLoc807CjFHrF+igpXeQZhFd1ufliqEVlKnbI5X98AhmNweWBbctkutaTAh7LF/VRU+HM96BoiOyuXa4azhobKypK9FQtQJPu4E2H7x6Sx9q0SN66JmB018ZcPUpGFXLT5Xl0KrB8wYfs5xFqBbzZqV6KOzQ0PXeNuk/t/QjjQhDGJ/Q75VS3PL90nxuP24XP7aI8IJ83NnXcMrZz5OesVC+rtpVFJmgABMKKSRRGhmgrch8fL9rK1W/8ajq/R087DCVkGJFmiLxleHP0fYfC5KXGEHnpusiL111rR4Ynl1kTZvHvoXJChRbBixXJs9ZoaYX5ydbkzRg/g8dHPA5EW6gYxZkmZhKJvDM7nxm1zDoVZG/xzOhneGzEYwghTILpniH38OmJn0atHy+SV9PRWS+OeZEfTzd7k2lWH9rvItY+m2U0oyi7KGr5sMJhZPoyubL3lTWeDrHXiBJ1B7PI03334tmAvLlAZkGsN5FxX7qioCiKvBbGUpNVe/h9Yynz15Rwh/cZbvG+hHJPa8K1FM7eBN3xf3V6uGpfew6OyHMAOOEJGDUNmqgpJ38GXL4Iiq/T18lqKsXadtXJe8PP8u7qy7ukv175Dj3tWr4Ddm+C6j0w5GpoNwpK/5Tp2hSbhhdfOrQu1mvztKkX5dv1dcp36J212jYDL5ENI398LF3L502v0ctumuXnpjGdePiUzuYnYtT5aQOsc9K8PHt2P/oWSdHZtVkWFw/TJhPIC9k1ntdYlXI6XgwizyUvppooS/W5+fqPbRz5n9nsrgqS6ffw+gWHRzp0QUbySisCXGMQbaGQEhXJM/LsN5sid+cPTOzJ5IFF9GyegxLUhYyxmzHdo/9OKgMhU82VUYQ1StW7c40+eSBr7uJFkFzCT8O0hpGIlxYNilWLZR2F1beJvAHRhMXkLpM5vu3xMY/XKK0RL3ydeH6ldpx4IvX0TqdzdZ+rueywy0zL99Ws0cbpjSOzUzUfvEt7XcrRrY6mSUaTqPXjdQfX9JzdLndUlFL73bXLkbY9uf5oa57PTvosqg5v4VkLeXHMi5zcQZ/U897492o0HaKuHGiGwzUhGArz7YptCdfTfvt2r3Tppt2G9eSaxz1inied6B16ce5aOt7yMbu1bIHx761sO0xrxgcPX2XaRpRvT1rkHVjzPw5+HJHnIM2OD/+b+cPqsvxpePxywsb6+XJaxhtnyajbV/fAW+fCuxfpIq9iB2xXPYjy20J6AyjbJmsr4s3b1USe5pWnzSOd8yCs+EI3TtZoplrBaPYvK5Mfdcb3jyGm5nP+wGa0ybVEh2KIPK1+Tku1pvqk0EnzGQSPeiFroA6Zbpeh7ytVrcnLSPFAoJIMLyzZuCtSg3fp8Hb0a2WOomlf2O//soEnv1pJSVk1gXAYj+H3o4k8JZSu/q8LpON6NuO2cV1okp2C1+2J2q88L13k/bR2J+FqPUr59jh9koQxwmdXkzfvtHmMbzseOzLc5mJ9bVRZrHSttRDd2FQCMtIXr2vW7XLzyaLtMZ+PrKce324Wr0ZlqBIhBOd1Oy/uvh4d/iivj3094THrgjafON4kDWP0JtObGXO92qIJxSv7XMkjwx/hsILDotZpnN44EiU10qNhD9PfXpYva59G85LWeAegGLz/82VMenIuP6zeEXc97e0NhMJRon7U/V8x9YMldL71Y6rViT1rdxgm0mxeQvtt5sYhY12Yoih8qBrC6xFA/flFf0gz+2Pd30XNlLXLCvcTv9FNrDQdwysS25s4JM8hJ/Icn7w60OJwWD0HXhgv79jG/Ft/bvsKPV1asRP2qJ54WU2lyCvfLpenxBN56pdCROSpF7PP1BFUfssXVoYqRrToYrAGYf1Zd0hRatehG0PkaWbKWtNEmhpxy/BHizyNRsp2GQEFem2bwV2e/0pR+OSR/Dv0L9O6djWCwZAuZO6c+Ru3vr+YkCVdm642hFRtGoe3ojdKMPo9FkIwtL29T15Y0c//zKfn8cDHerSgTY4+JcQYsbFLCXpcHiZ3mUyT9CZRadi2GX3Nr0tNocaM5CXwTUvxpETZvBhxCRdKOHH9Wkj1y4qVrhUIJrSfkHA/AIMLB9Mpv1NS69YWbXpIVpybJU3kNc9szhV9rjA9Vy+RLHUXad60iIXO/mRTaSU7y5NLnSf/6g88kaeZrm/dHb9GS6sd3ranmmfmrI56/qlvVkVqgaN4Nf64roo3L+K3lXICjXZtChvmy175usw4CBRGuBaYtv3t82ej9ve6fyoz/DeTL+rg2uAQl0NO5Dk+eXWg28lyfuy2P+C4h6Hf+TD4KjkVo2S17nFXvUcXaGn5kN5QbrdzjX26VsP6xVW5E0KGeqpCs1AgTY0ObVVNO5MwuIygRRn2bAbrlADr4+VfwLLPuf7ojhzRtgHN1fm0aaq40v4H9GimSmNvmUwtAw3LlzPJMwu/KwxbFnN4aL5p3SwbkRcImb9sflpbwoI1Jbbp2lBFK3asnkCsj/VZA1tSveNwipvo5sfrd1bw6JfLKf9zMntWyBRLOGgf/TF2jcaqjWuT04ZPT/qURmmN1HNqRtW2oYTC5nPSRJ417Rs5rzK9wccowLTIhN/tNzWCWHELNyj2Is8YSQooMhoRq3Hk17N+pXN+56jlJ7Q7gbmT5sY8/t5CS3X2bdw35joN0+TNz+Quk/dKevLMLrI+MdVdf7YfdWHAtC/of9cXSa0b+/2wLD8AI3nJNlQs3lCzAEYrsRHWfCs7ZUuiDebdbv2zm1a1hcs8Mrr/x6rVALi+ugd+eZVdc54wR/0side+P5hTuA77htr32jscehT2hvGPSTHVRU3LDb9VzrX9SB8CL1vetwNCWp6kqxG3HSuhSY/Y+7cKwIqduj9e/4vkODMjWvqwVJ1tWpa4XiWC1vxRvkOaQBuxRvJePAGA4ttKKe6gR8M0SxVTJM/yZdHIUw4i3WQEnaeUYIdd1+4x3Zrwzk+64FlXEh2tzPAn9zHOTfNRtfk4jhnZO7Js6owlfLx4E6Ab6tpFAkF2RWokaoDQhoRXbjqOcGULqoNm8aulWmM1XgxpNiTSWWv0oNO2S/GkMLnLZJ5d/CwAp3Q4hePbHs/EDyfq+zVEKAszClm3Z51pHxA7kjfz+Jlxvdv+OfCfMZ/bmwxoMoCFZy2Mu066Nz2yzqu/v2p6rj7qCC/scSFTuk+J+bvbH1QFEzddwYEYn0seTeTF05/VwTB3PPc+Q1xb+Soc51pr4Ev/VRDH91cJBW3vGz1BQ5r3nQvIAhoLOQtWUD/2Hw5158D5lDocHPScBIedYV6W08L8uGq3rKdLzZGWJ2mGeqx4kbzUHPPjyp36pIvCPtG3sr50MHZh7jGP3oqL1iTw9vmw9Tfzc7EMloPmlJAeyTOILEvHpajcCW6v6TybhM3GwgC9W+bSuUm0uBrRuYDDW8ceUwVQkJXcSChNDJaro9QWrS9VBZ4FQwTs3k9+J6VsNLcMuMXU8ZrIyiOoqBFYRYpB65ewVswfK+VqTJEaI2maQPO6vOSn5nNFb5mO9Lv9ZPr0CKRsPNH/Xo4qOkp/TtEjvprosTZeNM9qTtOM6Akh8aKHByJWURcrclpTDiSBVxOSD9BFr7hgzQ6+XKqWoQSrYf7TSXX01xlFgZLVkTR8vAaGkvJqZvmv5nmfsRREIYsyJrm/QKid0W3FOnqI5UkdvqPL7EWqWXpUBqI99qZ5pclwO9d6GginJOpA4OD8pDocWNiKvO26uEs32I3EE3kpFpFXsVPvsE2zsfUQwiwgK0qSn4Ch1ZRV74E3Jsufj58uR70Z92G8oJasNp+uWpNnnFAR6QzWqCyVZtOGyFfDsHmG7wm9mvHWRQMjkUEr1u5ZK60byihUXro5unbzMeb6ME2UVqhWMN+tiN2YcFXP23l17Ks88uUKtq4t5qR2E+h4y0eR531uHzN+2UDP2z9l254qXpq7htJy3YpBS8dm+KR4skbyTmp3EsWFxbbWJBDbd04TefoXnnzsFm5TdNF6vCpDCj4UDvH62Nd55ZhXIqInmdFnAG+Ne2uvTbTYG2iv66iWRzG8xXBOaH/Cfj6j/UvSkUwbIXXiY99x9jPqmK2v/w0fXAEL3zCvFArC00fXrAksET+/BA/0oE2lOYK7+8/FJpPgGKfNRe4Z/JpyPnd5n+IYlywx+Nx/Le/5b63V6Zzqkd3QdnG6QqFnU872fFKr/TvUL47Ic6g72c0NP7eIFnkZhuhHXJFnea5yp34Ri+HdZhJ5IGtLkrldNzYOaD5qmY2lGDPW5Bkjc1rHsEpQbRczWp5EiTyQ+zR4AxaEzCKvsb8apg+BzYttT9XniZ/2SPG6efDUXjwzWa/Tuv+Unpw3uLVpPU1EVlSHKKsKRrrr7OiWU2yapXnKE99F5vGCNCV+ae4adpYHmPHLBm56ZxGXv6ZPKdFEXo5fFXmWY+Wk5PDQ8IcinZXVISXKHuKK3ldEfPU0tCicFkkypn2NzRqayKvcdCz3Dr2XskCZaT+d8jvRtUHXyHD4llktY74XRrL92XttosXepEFqA+4fdn/crtxDgdgleeYnvl62heJ7v4z4U5ZaveS065J1HveezbD2W8JvT0n+pFbPkZZTdpTvkKbyQOOq1fJUgfmrd5D51EAqHhoop/6EQzzy5XJ+/lM3/j7B9RXTvfdxnFu3SCkQJTSlBmUtMfASxEX8G6NF4aI6H8eh7jgiz6HuGDtmG3VSRd4OXYAlm6411kCl5EBFqZ6utYvkgT41Qxu/9sJ46Z2XiKA+UzYi+Nx+adYcqtbTMAFD3cmWJTLK9+Pz+pQQpFWB/sBO5HnAYBXSyBLJ6xr4BTb+Al9MtW4JgNed+GM6rkdTuhfq763WCWwkVRWj5dUhLn3lJ+79ZGnM/VkNUn9Yba4jdLvc+FQDZ01Qrdmuv1c9Gsp6oJxU+bdRFYj/hfDGH9VMenKuqWj8nK7nMKpolGk9rXDeTuT5PXo6WftyDpQMYnTRaMoNv0ejxciZnc/kiwlfJC3yDjYikc9kq/b3BYoijdT306EBBrkW8qM/thC7c+bvrN5ezsad8jrxqaGsYWNphaF0xCwOK0Jy+a6ySpLm2TGEpw81L1v1NYs+f5Gqe/Ra2dzgVum7qSic9Ph3AKRWbIT7u8KXd3LvJ0u58EW9o/U+3+OMcs83TZC4xfsi36Zcmvy5xWBZypkc5V4Qd52urtV1Po5D3XFEnkP90O4oabGS3lCaHhvNi42ee+n2Nh5RNGhfs0hekd4UwNrvE+/f0PYfqc/zGCJuuzfAG2fL+Ywas+6AB3vB+3+H+c8wuouM6AxuZ2jciBXJM0QHW7rNd9JpKao4CdvNkbQXeQ9MjJ4va/wiL/rzXelnaECbsrGzPMAXv2+xbs6E3oWRn6MiFzZoLi5ahC9gqE+aNngaTSouJzslDbdLUB2K3/m8vUJ+Ed354W/ym3j23VCyJmo9q79eJF3rcptqBq01gBWqvY5HeLi89+WR5UKISCfwXxHtPanNOLi9xuy74a4mshyjHnATwoP9Z8eKlq692vMGeUI3y16x1Rzpdanr/e+Prfy5o5xr3tTNyL/4zfDZsUQAtWb4cE06/QHXnk0s3bSbnrd/KufJPjeWrt9cjN8w0uroHS+wLOVMfLP+EbV98I/kuosdDj0ckedQP5z6Gpz5vvSyq9otI3Bp0U745CYZMWnQTorFsq0ywuaLMXZKE0ZFR8DEV+TPlrSqLUaRp/nraZE8gLnTYfHbsOA59byL5P/a7N49m+nRPIeVd42hd0uDAA3YRCjcPlOdX6HYanhSIcOrfgxj1IUZRd6sq4ay9I7RHNezme26AFnsoc2318JLJ0U9l+pzxzRTHd9L3+cv63Yy/X8rotYpX30h0wZPA3Q/rp0VMqUdUr/hyqqC3PPhekp3tCTN58bndkXVyFlpkCr39e2K7WzbsBJmT4OXT45a76R28jX1bCRFrjZazOfymZoBrOlhbb3HRj5m21BRX6zeVsYjXy7XrTrW/2gv/JMkHFa44e2FEY+0mjKuzThO73Q6U7rXIH24t/lF/ZxWxDf1TZYPfDeyPEXWdq7aVsa6kthRQs2QN2ypKNuyyxx5025g/vH+Ys56Zh4Ar/luZ6zru6imHiOhUGKxuXpbGRfcOg1uy6b39S9Hlp88/Tt2lge44IX4EbJBpR9ELfNs/jnKfFjDOgvW4dDCEXkO9YPLJaNg/kwpzoKV5ujbQDVFkN/WfnuNNkfK9Kk2T3fjLzI6GCvd1FUtJG/aCzqOkdtvSyDyFEU2XBQNNi83Nkj8Lodqs0fthB3xT+htGKheJT0BXS7Ledl9obs8pvSu2Lk28rOPIBkuTWTaNxv4DMbHzfPS8HssDRpvXwAf3xB52EyoDRU2dT6pXjcbdtqLjq5Ns1k1bQztGmXwzJzVTPvo96h1QhVFjG09Vr4O9XdSUiYFlFaj+OaCdbw2/08276oi1evG73UltLjI9Omv8c156qzGimirmYHNBrLwrIWRujjN1qV3QW/Tetb0sOYdZzeCqzYEQmEZcbFw0Us/cu8nS9lQWgmBSnhyGLx6WsL9lZYHbAfFr9lRzivz1jLl+fk2WxnYtND27z7Fk8J1/a6znT5RK1b+r94icPVFJ0P357B/z+aIfxnGpAWrTJ89TXxbRV4UQv9daBNp+rt+52HfQyjhcFS69s8d5Xy8aBMhNWJt2vtPL8Irp8LuzVBdxowfljJJmQmYU5qVFfI4v/wZ//3NFPaf34/8N9gub+9ab7scYKzru7jHcjj4OWhFnhAiXQixQAgxVn3sEkLcKYR4SAhx1v4+v0MWY32esY5uxG1w/Z+xI3IaJz8Pf18g07UAf86TEzNi0elYuGE9NO4mH+e3ldM34jVfBCsBRQrCVoZaGI9Pj+TtUKNYpdJbDW8aNOygr1uyWqaSH+gJSz/Wl9tF8jx+c72hwcKjIFWhRZr6OMZgeWMkz2MVlQC/vgrfPxp5eJHnffmDP/qLPc3nZnuZvW2J3+tCCBHp1k2Edlo71dTult1VFF3/If/7Q49UpvrchEIKc1fGj9oYNWAjvyqe1Pfjlz93ctfM32yNbPs27ss3E7+JGq1ljeTd2P9Gpg6aSvvc9km9tliUlgdQFIWLXlxAl39Edw9q9jQV1SH9b2Fl/NmswVCYHrd/ys3vRvvfuVUxEUhk1fH4EfBwnyRegT0bSytMc01tqSyF58fBa6fHXmfRW7Al+ubAjPZ7rGWdYLAKfnk1YYPVWwvWwR2N5HsD7KkK0u22TwEIJ/jqc8epYZz8eS/9JlCNvj/80L+45cXPCQY14a/w9bKt/L56vWycWDoTZl6N8q8i/j53WERkNhL6jcx/vI8DNjeOe5GHfQ/ts2M5xMByA/ZIcFyMFWvHPhd5QoinhRBbhBCLLMtHCyGWCiGWC6E6KsbnOsA4KPI4oBkQANbV3xk71Ajj6DFjJM/ljj/SzLh9bpFM14KsZTNasNhuY/iQ5LeVkze0sWqKAj++oD8Gvejblw5eg2u/2y8FmRHNwsWbCrmt9OXLPpEX7pJV8OlNctnsu2UdoRW3L6aA+/qqI0hT1POJEcnzeuTH1OMS0QX0xi9/RSHN52acW70790VProhl0wLgV4+Tl25+D9oX6O+vz6NfMrQGpDZf5gAAIABJREFUhpJyc/3eLEO9n9/jZndVkKWbd0cifnYYRV6aUFNnat3dHR8u4YmvVrKz3L5OMNsvG06MI+CM6eFgKEyGN4PxbcfXqQFhXUk5PW7/lGfmrObz36JrGkGXLRXVIb0zO4E9iyZIX5n3Z9Rz2unW2I5t+ec1ShMfPm0Wo+5P0LBUKefmsimOGfOb58Cj/aMWVwVDbNltbUaoZRpx9t3wzgXy82dAE9gaV73xi/xhqxSdL3ynpzPtjHqNNxHROstyrqXq76pkDWz5jX8p9/OS7y6DyINzn5rDxU8bBH71HoT6N6Ed/17vE5Gnx7q/5yHvgxyN3g0bi1e8d9guH+lKEPF12Cc8FLSf4W1L4+6mh/VtIr0/InnPAqONC4QQbuAR4GigM3CqEKKzEKKbEOIDy79GQogRwBLA6CrbAfhOUZQrgYv2yStxiMYo8mJ1xCZDVlNoqPq8ZdSgMF5LB2vzbDf+DO9fAu9doq+j2Wl40ywizxct8rS6IW8q5KtzXDXx9IcawdPSorOnmbfVUr8ef9TdWoRgZST1G4lMhIIyUqA+1iJ5HkPaljfPgY+u00fJAVTt5r6TDS73VnNp9A7bTMr5r/deCoUUKye4vkK8cyEA+Ra/vUn9WtBTLGd1yiQ6eXVxo3UVxxNvRnuZkjjzRYPGVKUmwtXop5Yu0yKGbPldf8+QMz3/9tICbv9gib4Lg8i7/dbLefnFJ+Gj6/XIbCzWfi/FUTgM3z9uqt3crNZtvf/LBnwEaCE2E7akWDURWVYdNNVhfvjrxpiHtI6uMxJWFJqxlTmVxyfXUAQykv3iifDWebJjO5jcXNeEzFBLLqw3MuFwwqjapa/8RL87v5BCSlu1hs0JAPzwX1ir3sRsN5v5pt2Vz/PeaTYbwevz/+RfH+sRRkUxf5Ee7l6C8pRumG39YnTFEqTzpsOjAwBoKrYTVhvFBArv+27mC9fFkVUrt+llGrHSxce6v+du5X77Y1nO144nffcl3Nah/rkncIrpcU6q4Ro6/jH956aHQfdToPNxhrXNf1uXDGtXr+e2z0WeoihfAdbcTT9guaIoKxVFqQZeBY5TFGWhoihjLf+2AMOAAcAk4HwhhAsZvdNi37W4ejjUC36DRUqsjthk6XiM/L9R9OzQmGgi79kx8stOMyXdYajzmq/O8PGlgccg8jw+8wQNI54Uue/xj8Pf50sBp83MrY5RFK+ZRHtS4NRX5Gi2vDbmdYJVumDRbF2+fVAOCl/+uTxNo7hbORse6iPTYnMfN5uhPjaQ0S0MFwybbl0tklfs+pkR7p+42iOD4ff5HpdpXyAnTY8o9mqRw9AOjZjongXA8FTddkWrszMOh5/uvY8L3DMij1O8+iWmvKwM/rA3SA0oeiRRaMJKjWz6PS4yKCf1m2lSsDzaH547FkVReHbOKiY/M4+ZCzfxvCFSk7FW7za83fscp624BuY+xtqnz7KtpQNkN/LTo+Ce1vDVvfDxdfDF7bDgWShdH2k02VMV5HbPM3zlv4LqcrPg0SJv5dVBk8fixS//aH9MzBHI295fjLLmW3juWL76fQOPfrmCAS61w3v+0/Y72Pir+bFWM/f7B9K096cXYh67RsRKw96eG7PucP3OChZvKKXz0ofpKlaaBa3x77OixLab2kSgEj68Shd5n90KS94zrTLEbR9lnGWJvNpJNte6eZGfl28xp64TecIBZIhKCt8Yo66vRE2KSCnVRaly8FZKOdjwaOg40+Og13BT37pY/zm9IZzwhCxL0rDeIMUZp1gbDpTZtc0A4ydiHRAd81dRFOUmACHEZGCboihhIcTbwENCiMGAbd5BCDEFmAJQUFDA7Nmz6+XkHXSySpehVUfN+WUZAZ99WisZ3EpvmrQ5m01lRQST/V0pIfqmFZJevo7tL51HetkaUoDy8j3Mmz2btsueoHC9rKdZ+PtK8nbsQOsp/d+c78nZ+Tt2Ex/n/riQirRtQBNY8DsDXam4StZGPkCzv/ySAf5GeAM7+bnnHeRvX0DWrqXkARs2b+OP5XsgdTS9qz8lEwh4MvEGd/PD99/Q/M9lNAZKtmzgl9mz6bz4cxoBf8z7nA3rvaxdo3Wvhtn53k3klBoK7B80WKmU/snKd+5Cs0DeXbKFBZb3rVyNRvlcmr+cwKDDmP3lF6xco3+hHdmwgjWLfmBwi1TYAIGKssjnZvM2mQ7cVal/WY9yz2eUez7TQ8cCsOHP1ZHnAh9cC9veZVmryYR8mWxqMiLyXEVVAJ9LUAVs3yi3KSuv5IfZswkGqrjY8x6Nf57B0vIQHQA2/MS7n3zJbbPtU5I9v55CK/EfVilNTMt3l2zl3udncWI7/U5bURSEEKTvWUNfkLV0s+8CYOuKn2g493HK0gr5qf2D8m3eXcYItxRtc2bPwp2Rz8rSEGkeQWW5fH/n/7SQzMx19DUcO9b1pqRSf7+f/XY11yy+gvSqzTy/9L8UiBIGq1GbzZs28pvNPgZ8dz6aDfTs2bPJKv0dY4XisqVLWF8WvV3mrqX0/vFavhvwJJAe9xx/3hLklF2VNFFF7JLX/knn3+5jeZtzaQuw9ENmz55NseE8RDjANZ9uZgs5rE55h8s87zDzy64cWVlJCvDDvO8py9hMTsmv9PzlFrldsS7aMnctJXP3cnZldcIdqqQsvQVHWE/sdfuJKUXXf2h6XF5qti3KEWbLFCvGjtTuYgVP1DBC5ie+BVHQEXkHFAvDRXSro6/ffwIncZX3TQAKuh/Nwj1NqfZlUfXdXAaq62zfvp2F6mesWF1WWlqK0T121Zq1GAqD6syBIvLsYtcJCzYURXnW8HM5cG6C9Z8AngDo06ePUlxcXKOTdEiCkiL4SZZUDho5LnZXbNKMIUE/bjTDFsOMy8lfoE/dTguWUjx0KKy6N7KsW+/+sLQENsjHQ4eNgLXpoAVGMgoi3bX9Bw2BbINtyS+5pjFnxf17wLwA9D6L3sdcIBe+djqU/EzTFq1oqv2trWoCe1bgzWsBWxbTt1c32PUxbIbczFSKi4th81OwFdq3KKD94GJWelbB0iUIl4ucFCDOSMjWTfNglfw50+/G+jf+/pafWbB5PWleNygwolMBc8eNBPVtKR7YD3dhJS//Po8HJvbUrVoqPoINMkK1oLoJV4xoz38WzoGdxpOJ/sh26dCeywqreeCLZXjCUpC1W/UsAB1P1euKZi/4P47wreLe6lEU5KTDDkjPzKa4uJjMBbNJr5biqXFBQ1ADqFfYCLxwdR4+r4xu5lPKKswiz0uQGSsCnDikJ8UdGnHjOwt5ee5aTujVjPsG54ClpKlhbg5sg/TwHnr0Ogy+/xbh8eGulsKsV89u5BW2Z7IqKjo2zmRD2W6K2nagb9M80/6KBw+SdYYu8xf8upJymK3XbvlTUqEK/uv7j2m9gob5FNhds5Y0gC3yZqq4uBjW+EEfPkK7dh1o19+y3XePwEpZ6H+4fwXQXd/ehhefm8+phmhW503vANB2xVP66ysuhtmGn9+ewryU12hf+Vxknf6HDyRlkR+qIK95W5ZWtKD4l+PM+9C4zRwd4e8/kkS5GgC3e55huaJb5Zx4RFd8rz9FD9cK3ggNpbMrftRwlHs+r4aOpIdYXqvxX34RX+SlUk8pdId64djqu1idMgmA9Uq+7lBQAx4KnRAReWOOGgEuNf1fth3U4HN+fr7+Nz5b/pednQ279P20atUGVtf8NcTiQLmdWAcYZmNRSOSrt34RQhwrhHiitNQZnrxXyFZTlP6sehB4dWDQpdIiZfTdcOQtMjpTWarX44GcvqHV5Lm88nyNNXnZujmwqXYPzLWHIAVf1W7zcq/apeo217gBkKWKj2CVPhpJ68bU0liqhYjWeIFC4jqmXerHJjXXXHivKLBuARk+N9ns4UpFfvGmLX2bvKcMQfNABUe0bcBnVwxhXA+Dn5zaOOIlyEOzlvPTnyUsXG/+DKUZjFs1UrwuxnaXr3VX0JKGCAUJhxWqg2GmlE3n4uBz+N0KoUqZ/q4My78fr9sViawoago7FmUrL+OBVTKu5UKJDGSPvA3q/eQU1Yvs5bmyTurtn9abR9hFzlFdJlyRGsSqYBi3ut9AlbmbWmtMmbd6h7RPURnoWgRTG8Db50cdIqimMFOp5F+eJxCV0dYxQOzfvXGizLcPm6e5AE/NWcXqbZbI1Sc3gmbl87+78cWKPCkKrPiSqkDQXJdm99m2pE61DtQ09PMJhBQq1WkkV7+6gJvfXUTSPGTuoP4pf6ztahe4Z3Cm5zNu9+riMhBS+K/vP/zd8y4txWbb7Yzc7f0vAD1d0V6R9UGx+5e9sl+HunNx9WXMC3dIvGI8jJ8P401dt2jv0qib45rUoCfBgSLyfgDaCSFaCSF8wETg/b1xIEVRZiiKMiU7O854LYfa43LBaW/BWTMSr7s3yWsNkz+AARfpRsZ7NsOOVfo6GY3Bqya6tA+lsSYvyxC5szZk+C2dwtuWSXFmFHm+tOhtNdGQqc4/DVbqheybFsKjh+ui7+eX4JkxpIggt3heoK9YLD0I4xEReXlmkffra/DfI+lWPpfzPDPJNd46avWKAIFyhBC0K8g0d6KqRsOauDnxsWh/rQyiI2spXjdpfikQdwUswqB6D5e/9jPtb/6IpmHZmJDnrmDHdhmVWl8q3yujyMvZGD+Us9p/NkOEDPW5RZiUGBGT6mCYP3dY7G6C1u5PdMGtirxBroW0CiyP1GhVV+mv+X7vw7TeIIXNRwvNjRYv+2T6l0VvRh0iGA7TWmxggvt/nOKZjbsqxg2oNn1ly2/mbvFUg/ffpzfBvCdNm63ZXsa/P409wg6gj0s+b2wkURSFaffcAS+M56zt99NQ6OcVtmv3NaROe1z/WqRWNUPo76tr4WsItbHGXcfS6YJt39ouv8H7StSytYbf9RDXr1HP25HDbrKIn9Z1+OuxQmnKydX/YGXbmjmxjejUSNbaFfY1P6E5K3hSoHu0wTuDrzI/7nVGjY6biP1hofIKMnjZQQixTghxrqIoQeAS4BPgN+B1RVHsp7XX/fhOJG9v024ENI0eu7Xf0ATV5sXmzsC0fL3xQrO50HzyQHb4ahiXgy7mtJm0m341Lwd9XJrbTuSp+57zgJyJq7FliRw4DtK+Zc0cmm3/lnM9H/GSZ6qtQTAAR98j/9e6R9PyzSJPLc5vWr2KXOL4oa2bD2vnyp+/+rdsPHjrfNgp01spwl40NWQnn/uviVru97hJV5s9SqwaauEb8p+BTFFJuEymSkKBSl6eu9bcVWxCCpIJ7tnc5HkxarSVj2BMkQfwuHWih8081c279UgeZVt4yTeNdz03RMTujpJS/qMKqPHub7nfJ/0KD2+TH7WvWPhXfMIs/9Uc7foh/oraJJdHB8D93SmtCPDH5t28sNBy3uXm+rPbvc/RomoZP64tidl0Mtz1E6tTJhEsVW8SlryH+GcOU8qnAzCi4iPT+ut2xBc/D3sfjPycYojwNvr8UvwB+Rkc6V4QbflRXSanzXx6c9z9AzQVyU/MePALvY71fM/MOGvqvOO7NZJ+czhw+CrUjQeCx9d6+21F9hFgjXNHyKrswgYxLL+OfyJq0e9TR/P46b1l1+x5n5sjedp3RCwrpfaj4DaDHnHVryzb5zV5iqKcGmP5TCC5T1/djj8DmNGnT5/ovInDX5MMVeStUe/8j58uW9ndHj0Nq6XCjFE3zfbE5Y3ueNIiednN5BfTRjX9YhR5mumx0cdPc9/XhOfK2epxU/XxaqW61QJA/i5DV6Od2TLAYWfKCI5WJ5iWL/cXDsuLhmq14ncr8X2Y3lLLWv+xE2ZNjXo61SYlC3C4awlZIvrcsqs2kL5JdhXuCgjzFWfm1Tzog/cr9bnDonoPuR4ZAXKFqrnxnYW0apBue8Z+AlThi3iNDXWZU2A+AqRY0pAKgtZiAwWihJT5M/FyFAH1pD7+ZIbZ2wlpz1LghiCCzI1z9fdBFbv3fPgzP4bLKBR6ZLRQbCUQSuDtCMz6fTN9ivLw7pCRxx6JUoMug49isIIe/5TGvjdYoszbdu7Gah8+bPsrvDF9Lp7CXkzdcV3Urs/1SBHne6Cz/MJRo3L5IvqG4OtQV1q5oqepGGliEGCxhPYFng+5AHODBM8eAxt+sl2/Lvzd/XaNt2nlSpzWddj3bME8teaV4DBO9dgYjnebEHUTCdAgI4aDgsoZA1py+Yj2MFe9YW5/NPyh3uSc/ja0HS6v32VbI9dLo1VUFNp3R66lnaLHJFNd997iQGm8cHDYe2QWyP9XqXYqTQ+Dhurkg0itnZqmMtY3aelWOzQx58+SIlITeUY/PE04CsMFQLNbMc7w7XqSvGh897D96Zetjn0eGp4U6UuoRXu01xGslK9DHXmVGd6VeKQTwD+jPfZALxjvKNYyyLWIp0LSMiJkSQo86f03TwTH0nP2TXh3r8LnfinhlAGAdCrJU4WFVie2rqQcIaLvgtOopAq93tE6vmmwayGNhNniRAE+9l2HT8jfTRhBgdjJzFA/1m3ZHnVFzFK7MLfuCVDliv578BHkGd+9us0J8I3/Mk4L21vFAFC5i83VPs55dj5D2zXgrkbJOR2Hc4ts30GPpe5we+kuGlhWDCuCad6nzM6iMXhp7hriDWLzECaL2PNhwWzoWqMmg70g8AAnIlcHvg93oo1YT0ORoFRkn6L/fS1UWtNt8nS6Pqte08+aIa2l/Jm2Ii8R+VYRmGNoF2g7XP7fWp2UVLY1pol9BI8fTnkxOo17/GP26wOc/TE8Y73lrB2HnMgTQhwLHNu2bY17Nh0OVvyZ0sB42x+yfsk4P9eahtWEXX5b3fTYxm8uMr3DlwF5rUDz2DJO9Sjooh9f46RnpN+ZNrYNZFrYrjlDJSMZkSeEuTYrTf05WAnhAPwpo1BpwVLbBolk0dK17/luxi+CrG57Bl8s3U66ZZ7mSPePjHT/iJYZbuKtxBuM4U9nIFNU0EBtH/aqQiwQUhA2V6o0qoiRvAbgTM9nUcvaiA0RgQeQK3ZzoWcGU9wf8EroyKj1c4UU5UHFTTgY/b75CJgEnkb7sjhi5e7mrDlVNhxcu+5imv0pBbg7gRdbKBQtk8e55kSlPO0iZ/3LZsXdt5El798Pcb63YhnxGmlnENxv+G9P+tgOBx5TA6fTWOzgKUu3tx2VipeUBJ3F9c2wTk3pWlSgL2g1RP6//Av7DSzsUVLsn2iuNqS1Owo2L4E130SvMyDJuQudjk1uPY0WA2q2fhwOlMaLfYbTeHGIokXzio4w1zxYu2YBJn8o77wiaVYbNx8tXev2mg2OjYKu99kw4VnpcK5R2BvGPyKnbWik5uoNIDaklMdPjTHgYn0/GlokL1AOe7ZG6kFSg6UJPcLikUIVR3ZshF9IwXblENk5m4FN04KBpt6y2B2chve3AaW0EvL1plFJQ1XG2U0ciFUfGA+jwJPHkMLNJRQaiOg6Xa1+sRqPbao8lh/axN3P2C7XqHxRVq10UfRasUS2G4qIvlw/6HuEFq6tpmW1eV+MXOV5PfFKDocMi5VWSY/a6lj1XMJ1uleaG4OWhZvFWNMeq3fwHw1H2K8YC5dXr8XOLaJrVQyT8aY94ZZt0G4knPGOnL2+r6hHZ4pDTuQ5HKI0Ve0XupxgXm4n8oqOgEadYo8iA7OYyzeKPEMkz+2BLsfbF9IaI3epuWbRZ8FXaS6kZ8i1+s8pOTBa7dxMMdy4RERehUmcpARKyRJlBHFDfs3H56RSTUNDOqNjnnxtdp21Rpp49+DDPpJnTP21cW3AJRS2K5lki3J+SLmYPHbZThzQIlYhpfYXRKPgbSvWRz2fLqQIDOBBsYnkxRJmHYLxu1ljTWaIh69kGaEPr024Xrxmk2Swpn8dDj12KebrUVIlHklyx6m6pfVmJYejq+UourdCUVbXZoZE/+1/mD+Z0wd30RcUDTY8a1GDjbvB4ZfA6Glw2S9y3dMT1GpqqViPL7nZ63Wlx6R63+UhJ/Kc7tpDlKPugLH/B50tg6M9NiJPwx9H5GmCSgiLyMu0X9+KMU2cmhudNraJ2kTocLSMNGrH1xhuMG3VonqBcr3LNjWX1GApuWIPGwuGQYuYQ2Vikko1mYbuXHdYCgprutZKvtiFL4Yg+jVF74FqiKyh26no732u2I3LpiZPEzPrFWubQfKc5NaH42TEeQ0uwuzaHT2+LtFkg3i0FQnm6Nrg/mF6wnWybRpgaoJdA43DocVuzNfFmLN7VTYr9jW8dpj8N4EgHvpUPsZ1gSnxN1THXL4bHiTtSoBjujUhWxvDeMVimGSIQrssNR6thsKoO2XtcmaBtNjKt4yZ3J/8YyeMf7Ted3vIiTwnXXuIklkAfc6JjqrFSZNGavJsn9OMjv3mGr+UJP+ujMW6qbnRNXm9J6v7s7l4+jMN4tQg8rRzAj1CGajUu3azCnFX7qBdZoDmzZolniljUyeYKqroV2LoiAxV068ojy75LvBl8HxBdOcmQFZoJ35DJO+R4Djb9bRGiZ3o772bsGlbDS0tmVrH9KRGPrELy9u71vPj8mhRZpfijcVnIbOZ7+f+xFG5ePzN/W6dtndw0Pgq1I1HY3wmIXG9aMH1vzC9d829UbWr1zayCeKJymjMCA0goKiNa/lt+faMFYw45hS6NLW5zmYXmpvliobA4Kth4KXJnczJz8tSnf2FEOab9tPfqpfdHnIiz8HBRG0jeemqRUbz/mZxZTVNjoXxw5yaG23E23k83Loj0pEVNqYkfRm6iLPWboz5NxTfoF8sjZG87GZQWYoo2yqPqSQwo7UaPiOjZzlBw8ifYBWvX3g4RzT3Q0Yj1rsLo7YBaOopjdTk/dpyMhsVex85TeTlNdALqf0EbCNmWiTPX08jojw20UIjh7mWRy273JO8NUeydU3Jcq3XqZ1zqB/ODNzAu6FBMZ9foxTEfA6A1BymjJWp0jOqr2d5uGn89VV2K5br74V6c0P14Bv4e+BS/V5UCAa2acDZg1rp19+0OH6ULhcMvwXSk4z0dz5OluocKDTsWC+7OeREnpOudTChiaV0G1+zeDV5zfvJu74jrpCPT3gSxj1Uu3OwS9f6M6W/kpr+rTK2O/rSDePYLCmJfudD8fWGSJ6hJk8zd1bC0ce0e62ZTaIWpVJFyGO4W35iqGzsUEe6paTZRz+PL3sDH0EqGnZncZerbNcBaKhZnqTlmY5pJ+Q0a459NQd0tDuBWbGDQw0oU5K8ITTwZzix/2Jt+UNpzuXVf6N75ZPkpnmjnutfqVs8vc0w6+YIITj3iFZ8He7ONn+LpI55VuD6yM/f3zAc8tvwgSLFZjjHsg9jCUufc6TfaZ9zkjqOeoLJr3tAUD/ne8iJPCdd62Aiq6lsxjgh2sWcrKbQfACc+FT0cyDv+tyqyOp+sjQkrg1pebLepN8F+jItiqZGEysNfnCmSF6syKFtJM8QZUvLg8FXQpsjZUrjPIPdwFF3QNcTbetDUkQ1KYqldm3557DsE/BlcO6RXW1Px6UEOSK3hNSUNFK97qjCbo0GqheXO12/Q//P8e3I80fnlpuKbbgJRaxWANlQsg94OTiMKiWBP5aDQxwuDiSZRjRgrE0tUeLchKrU9G/03fAR7CKdNG+0Z9GjFx0T+bn7315gRNU9Uev0byVvzvxeo4NBGjTpYV7R5WVH5zNZp+iitXG2etOph+4sezfOg3VDj4nRJvUOURxyIs/BwYTLDROekWLH7rlzP4kxVLoe8aVL0TXGcNGM+PDJyFglPl0YuVyQ3Rz82TD0emzRonTBSl3kZRlEXmou5LSQ1gDDb4FGHaH4RvXY2XDS07rPn4FUqmnss6SWf35J/r9mDlnZuVHbaHfgnl1rweMj1efm43A/fnTZC0KA7Dz94t88XbHtYr3R+wrpFuuWV7Ji39lfVX1hzOficUV1tBfWQqW1Obp6iPJScPj+PoWDkg1KXsTIe6uSfNemsQFihZI4JfpqqDjy89UBeRP5Toy07MeXD7ZdrtGxsX6ebRtlslwppF/lI7JTNR4ZBdFdo7duI+vEBxjfM/ZrEC4p6oS+IP5xYqFNinHZf16/vLqY2VcX127fBwGOyHNwOBCxRPKqFQ+TlKlw/pf68hvWQq8YswkikbwKc02eRmpe9DaDLoOj7oQe6uRBl1u6xx9xZWSVTHeAJlaRt2eL/L/FQHN9otbJbIxQuv2k+dxU4+Wl9NgDwF2GdC2bF9MuYG9Jcr3nZdPjH7x9Yu4zO9++rmhjcXyT13fDg/gxbDZPD+E65EXegMqHuCl4Lu+FBu7vUznomBrQh9CvUJL3ibOzEno+ODLm+pEMQG4R/77zHtpUvsCv4damdb4JyZu5jo2z+N81xTx/Tj/b1KYQ8LfqSzmt+obIsi3kQm5R4hPX9tf3vMgij9vF/RN7cdnwdrxx4eGR5U1zZHbCXV/p1T7nyOaLwfZlIq0apFPUIN32ub8CjshzcNhf9DkH+pxrXtZyEOS01Lt+1Zo8twgzbsQwaHYYSaF1mVXvMUTyDHfNqTYRN28KDLzE3PnbaoipAFiEA1C+zVzDWK16zU14RkYQ2xwJJ7+gp5SNtjIef8TM1JsS+8LqTjd0FX9lSQsZuuUmWWZWblVil2FUuuyP1+Dw+N5UCi5Orb6ZReGiyLJwDUXek8ExSa9r5YHg8eyyFqjXIzWxvzBSptpsfBqKLaz3NdVK7PTdN03PtX/iuHq2rbgtcb23guD3sByX9XhwbNK7trMy6dYs9t98SCtfUEtJQrh5KTRClmionBHQRVvL/HSGtLev+3MJwczwAOaEuwHwyeVDeHWKeTJDi3x53SkvNEQFTWItWrhdMbI9fYv0m7qehfL1eNxu3r9kEDRoa7OfGuBNgaOmxm+k+wtzyIk8p/HC4YBh7P/B2PvMy858Dy78Wn+sNkQ0y/IxZUgNPJ28aTK9UbVH1uW5fTJtomF69tC3AAAa2klEQVQn8mJhvTiu+8G8r3LVrDklR16Iz3gHOo+DXmq0ov0ofV23j6J8KbZGdtfn906qvtF8+r44oqbbBDnv14ZdSrp9Ew1Q7dbrADtW6hMp4h5LpQofY6vv4uuQTDGHFBeBJETe1ICMtH4V7p5w3VhsUXJrXYI9PXgMc8MdmRY4NeY6w6v+Ta/Kx2u8b81L7cNwf1aFE3RfJqBPZfQcz/+Fav6eVRK7mWF20/Oill1RfZF5jrSFBeGaG4YnQxhBCVkUVb7M7HCvyPLX3fEFn9aN+nhwrG5rotWldbDcSGQ25cKhqkAyjImoxitLNFQuHd4hOm2qNWId9wg+j1kmuNU0aofGmQxobe5u7dg4i2+uG8bAidfD33+UC/tfiC7uEvk2gUubTuTPonthDt6zP4BJbySeEftXo54imYecyHMaLxwOaNxes9eeGgUTdvNz4yGErOer3iPr8jyp0aPUksXawQtmkReslILS2gRSNAhuLVGnjagXLG8qLfLTWHL7KIZ3L4qsOqV/U5M48/ji+Bfa+QqqDO3QCK5ZDrfuYMNlGyLLbw6czZ++NnDrDj4+cQmV+PnQPRwGXR7zYlqh+Lig+nLb50K4KMhLfA15KnQMPSun83UCkfeW/3jb5Z+GetvO1LWyIqx3Qs8N65FXBRenVN/K9JA+O/OFoBwDdXdgIkdUPcAe0ighiz8s46XiFfbLfQgy/B5AMLL6XtuJBTcF7GskHwiaX+9OoqOs/wjGTufHYkNqbFEWUhRT7W1R5cu8Ex4MInb0b1aoV8znomjeP27z1dPZf2OjIiNWCoLeLaM/gwMveRImxB4NNjvck6sDF3BfcAIN0+XnsmszNRJr/ZxeMg9Xnipgs2KnhK8Y2Z77J1pe52mvw4jboNfppsUPTOzJp1cMibkvgMLcNITLJY2GbyuF/hfUTLCMuA2Oe0SOEwPIaATtj0p++78Y1d66Tdo45ESeg8NBhXZHXVORB1IgapE8b6r5QhvPBNpKnlrDc9Sd+rKc5tHnaXchd7lUA2r1Dl5tCEnzeUwehX5/irywq4h4foOZjSOzeMlrI9PeVy9n3enfcNVRHdTjummaqwuHF0Mj8Xhc4HLj98qIwP+lXwYj/xnzMF+Hu/FJuB8AzfPM0b5jejQjLSW599Bo7GxlawcZYTu+r32U9sngMYRx4Xer720LvXbJaMGxRZGCYXdmG06pNkw+QaGp2rU4suoeTq++gWnBSfy9+hIeDx1r6m60Gt6GLF8PpUoatwQmRx53bZbFzEtlWi6Ih59sol4BS7fzYZWP07/yYb7OmxD3WCC92S6tviRquR1b09oyvOpeZvX4v5jrfPn7Fn284bCb9SesHZqGAn+784rJuZ/qNkpNekY9Hex9HovDUnSFEbx10UD+e2YfPjOIpsLcNOgyHi74mt0Do43Fz/Z9QdujLqAaLwubyBGN3gat1NdhEHmdj5Of/8POgtPekp2oVk55CY63cRUA2ZSl2kP949jOeN0Cr9vFcT2b0aZhHdKe1sGzdnhTpbg86CxP6hm1bnpVqxh110niiDwHhwMZrZ4tnMC42HbbDKjaJWvy7Gb0JkuDdnDl73D4xdJoGaBZb/M6cWbvmggZPO0MQjPs8kP7UZQc+S/WHHadnCQSC7dXN3IedKlMe2c0pLBtt0gqyY6TesvuYo8qmLJT46d/jEXuQo1EaobGo7o2hY0/x90+GbQaK5fX/Hpf8Y5n06CpzFfaA+DVRN7ElyMpY6O5siamPO7oqNRjp8vf1TKlkG/C3SgnhRnhgRjro07qXYjSqLNpu7Dh6+G54EhGVN0bedy+IJMnz+xj+h62M3u2LttBFpvJY92ugGW96K8iBReeGPOOrWwtvocVSjP6dmplfqKjnv5M9XlkU5EnFbqdqK9j7drM0xsTFqXZj/47peoW2+URJn8QtcjrdkWisp5mMnI2onMB7QpsbgKadCezRY+oxSIcYPLAIiYPLGLwKVfJSFlz9RxbDYGLf4AbN8jpDSCFUrsR9oKp01jocUr81wGc1r8ly+4cE/ezlRCRfLrWQcWbAreVsrHp6LiR2EQ4Is/B4UBGq4dz26RME+HLkCbF5Tt0EXb+LDjnk5rvK6uJvFAPuEj6Bna3fDn4khR5uzfqPxsieSE1/Zo75EJajrtRDgS3w2oZYzWRjsFX1wzjuB7yQulRR9sZi73tLqLGIveIyNKIk+JLhnnhjkyuvkaXQJZ6o3WiCXt6nB0RP4o6txN/Js+E5c9rDVMIqlH/PlTBotXguVDo0TyH2441Czgr143uSNvzzWlCYxTrH8Gz2UouOWny99K3KJcm2ammL/5kRB5AfroPl+X1xrLv+Dzcmx/C7SOPnwoeDUClxyyMOjdvyIq7xph/pyAL7lUKsvyyiP/mTSYhF4XBauPW8yZwTNWdpqfnhjsyV+nE2zbp6Qg2M6wn9W9Bp6GnUHHjDqZffKz5yT7nSL9OI1rUq8MYPW06+m5SvG5uG9dFTZUjm7GuWCxHITZsb+5wP1DoMUm+BmME1WGfcMiJPKfxwuGgQrNSaRT/S9oWXzqs/BJWfKGLxGa9ocWA+NvFIyVb+gZaa+ISfbFoMyGDVfoywxzhsMuyP7tIXtuRMOwGy8IE0YVzP4Mp/6NFfhouVZD0b5XHfSf34NLhBluUE56Ew82pQU3kTerfguln9CYnzYvfq4q7OpqwTudEZod74RLqF7nFw2uPkhoRowCucQ/B5QvB7eWeE2Ukb7OSw2NBKRaCmshTz0uTp6M6y0HuZw0sYukdo2OeT6rPHSVMtJmhH4f6RpZdNVIKLk3bGUVe2OZ38UfYfsydMIi8cVVTTR5sGmk+N9cfP4AJ1bdFHSN0+GWcX32lPgHC47ePNBlTr+EYUSRNTGnCr/dkyGwaeWqxYo4Oag0hT+dfA1Nmy4WXL7TftwG/x83VozrI99rK2P+T3emm8wrrr2HYTTIqaamRi5BdeGCnN31pshwjPc4YMoe9Qi3CAwc3iqLMAGb06dPn/P19Lg4OCclpCcNv1T3naoJxVFl5Sf2dE0R/oXgTiLzmA6RH1oC/xdif5X7TriavNhYIzftFLXK5BCccZhEfRYPkP29axLJFS9fedby0jPj62mGkvf4YrLQ5X7cfQlUkwzYli1/dXdRjaNubRW6ZkhJJK/s9Lpm6Ucc8NUiTIiGIJxJtE5qsU89Li6C1VDuZhRD4PW46Ns7k9027AbhxTEfumvk7ACme6Pt9zazXjaFUQPu9q8LILl27ItyE78KdeTR4HBuwnxsqDJHpxUqR6bkLqy9nm5KF8EqB/cL3a9i6I9s02k64vWT2OA7XEjX6GKMRB+C747/n0lcW0CFRpjA1V6Y/FUVOfCldS9hSQ/bPrNt4dktb/jOhByO7FECKN7ZlSm4RtDsK5sWoe0tEROQJaX808aXa7cfAdaM7Upi79+x4HA48DrlInoPDQYXLJU0882tgn6JhjK5V1LPIi3csO9weOOY/0a+joFuM9W2+tEdOjV5W3xx5EzO7y+J5Yakfykzx6gat1nRtz0lw7So5KURjvNmWRNNDNwbOjTSWVDdT66kamYeRl4tUvG5VwFkDNGp95rCuzWnbSEbfPJoQU4vvI2lSi0h55mw9KmcUuh71WAy4OLJMm6gwJ2yYTKLtTz0po2HtxcPk73Z+uAM3B8+NLfCEiLw2gKKG5ijex+F+zFcMHcKKwoCqh+lV9YRpH52aZOmvO47IC6Y1YCu5KJbf57fXH8mCm0egxz21362AjIbRdafAfG9fFFy0bZRBVkoCS4/LfoEx98KEZ+HYB+Kva4tZuNcHFxW34dgeiSdlOBxgNOpU600dkefg8FfFKLyqd++/84jHqa/A3+ZGL7dG8gZeGt3RC+yNQu4meaoBtc10gQhW5XXkLXI0XaEuouhp9abTz1XbvLrrqXDpT9DSXN9VRgoeNf3osh6r/Wjocw6eY+5ldJfGADTPkYJDUX/n+pHM749RlKV6bdKGo++SqUFgmdKM/pUP82zI4HMYNotJY4q0hRohsv5GKryy83fz5evV1yO3O6v6Ot4MDeG8wfb1ccJwriHcurEv8v1TUPTfUSwPNeHSm2YsJ9Y0J5X8DL85LWqhg6UpQhOKNcqMdjlepoBrinYjkWxTk8Nfl5OekR6qtcAReQ4Of1WMIs86O7K+qd5Tu+1ymkdFsQBzZKZRF5k+MzLoMjmLt039z07t3lLWsfmETWensI+QRWqN4kSU7gtO4Ldwc74Ld0ErD/O4XbIWzGW+FJeTGhF3HmutmcendhQ3ipxP+8OOhAF/Y8twzULE/jyNZWlWk1srCrCZPH1foI/Gy5d2KcKUr5U7P6lPc3LTdNH1cr+34fJFEZHmEoJwWOF/4R5cHbiQiX3N4v3Fc/sbX4EJERFZglDYML/V2IBjFGvCFamBa5ARo2NbiR0x0+o4V4SbgC+DFI/cV506TZOl4zEyij/qrr1/LIcDm5QsaF1cq00PuZo8B4dDBq0mr7AvjHuw/vd/6U+w/kd461zpx1efGMXS376Nfr5xN7hycf0eM3JoKRg041ozCb7cLSLviLYN6Nw0i8Na5LB2R0eOntmSBhl+RnYu4OW5a/F7DNG0Cc/BG9IAuIwUctK8nNa/Baf2a5H4pIULRk8juGU3sCzmahkp8pJ/zagO0eIxBg9M7Mllr6p2MR3HwpnvQ5G5GzYzxROZHOFp3BX3Il0wVXmzIKc56eXSNmVYx4b8tlFGlk/qXagLxQu+AqCF1qkdQ0+DjE4Ud2jIqR9fwZvj02mbYkj5XrMCnjsWNi8CbxqHtcjh7hO6MaZ7k+gdgd5EkxLbdHZE9b2sum0MD+2u5vUf1tG5Sd0MapPC5Zb1uA4OdcAReQ4Of1W0L8vswr0zEiivNVSXy5/rOx0czwx5b9OkFwy7mfLAIN5qZxNljIdF5L14nu6z9voPfwKQlerh2lEdOLprY7INES+6jIc35I+V+BFCcOfxMWoWI5j9x7RInd6IYRZyGX4PK+4ag0tYonBGVFU1slMB35Xlc1zPZrwyby3DOxbI/bUeGllV04ltGmZAm0Fw3ixodhjKZ59bd0d2mpevrx1G4+wUTntSpug170IAmkhfOFdJuemVGZsftGXCJWvyfr7bxuQ3LQ/OngkbfoK0PAQwMZ5QLuwrxVSv2NMqFKSRdpPsVC4bsXdGnTk47A0ckefg8FdFS9e69uLMxyw1XdYzhrVDbdHc+63eYfsClwuGXkN8m1hFCjqjuTPETddqKT63EOSk+RjcLnrG7vre19Bswb1UxJnBGnUegCZ/mubIurhIs0SX6HFpCVONqvjr1DiTV4ZLu51Xpxxuu2pmipenJ/ehZ3N1RFdhb9NZWWmeJ288hnZoyLzVOyKP7c5PE6Ehg8gLqF9ZIpE/Ykp28uktIWRa1MHhL8ghV5Pn+OQ5HDJoQimO8KgzaXmyq3TotfW7XyHkfk+opf3E3sJYk3fco9HPaxHT9GgBp1miRDVSGCg57O+0rnzR1GRQEzL8Hsb1aMpvSks+O/kPWwuZhERq05JrajmyYwF56ea/MaMnnWKTb71oaBvm3zyCZjnRdh5ac4j2Nj1wSi9y0rxMP6M3DwXH82hwXNwZsQ4ODjqHnMhTFGWGoihTsrMTDxd3cPhLkLKX/9bT8vaOEWta3t5JM9cJw+vsPsHmaQHHPghnfxT1lGZuHO+t8rpdhHEl/3baNA1cM6oDp/RpzuB29hYmVqICe9q+ajNKT8WYYrWtqXOJmI0QLssJdSvM5udbj2JUl8aUkco9wYm4Yk1E2QtcOrxdVJetg8PBgpOudXD4q9L+aGj9DvQ7b3+fyV8Ii2LpcgK0GWZe1vss2y2TieRFjU9L9nwMmzXPS+NfJ3VPaus51x8ZbaWiiTwljoVMkqdl+TG5TdUN3HHep5j1hHuBK0e258qR7ROv6OBwAOKIPAeHvyqZBbX2VnKIgVaDp0UYraOo4qB1s8ariTOaBCeF1kFdS8Ncu3RppNu0DiKvQ+NM5q+pnQG3lt71J7B4cXBwSIwj8hwcHBySpd0oWDm7VhNItKkS8foetFSlSGTVotF7Mmz6VQ64ry/s8qs15Mkz+zB31Q5mLtzIWQOLarRtw0w/fytuEz16zsHBocY4Is/BwcEhWQZcBD0mynrBGuKxdI3GI+lsZFqeHJtVn4RVE2hX7Zo/AHLTfYzu2pjRXRvXeFshBNeOrqF1jYODgy2OyHNwcHBIFiFqJfBAT9PGi+Q1zkrh6K6NOX+I/aivfULDDvL/nJb77xwcHBzqBUfkOTg4OOwDNG0Xr/HC7RI8dnrvfXNCsWh/NJz2FrQ5cv+eh4ODQ51xRJ6Dg4PDPkCzjtsnc0/rgssF7Ubs77NwcHCoB5z2JQcHB4d9gOYdFy+S5xCfk/s4zRgODjXBEXkODg4O+wBN5B3wkbwDmHtO6sHqu4/Z36fh4HDQcNCKPCFEuhBigRBirPp4sBDicSHEf4UQ3+7v83NwcHAwok146NIsaz+fiYODw6HCPq/JE0I8DYwFtiiK0tWwfDTwAOAG/qsoyt0JdnUd8Lr2QFGUr4GvhRDjgR/q/cQdHBwc6kCnJlm8eeHh9GqRu79PxcHB4RBhfzRePAs8DDyvLRBCuIFHgJHAOuAHIcT7SME3zbL9OUB3YAmQYrP/SYAzx8nBweGAo09R7exXHBwcHGrDPhd5iqJ8JYQosizuByxXFGUlgBDiVeA4RVGmIaN+JoQQw4B0oDNQIYSYqShKWAjRAihVFGWX3bGFEFOAKerDSiHE4vp4TQc42UDp/j6JOOzv89tXx99bx6nP/dZ1X3XZvgGwrQ7Hdqg/9vdncl9wMLzG/X2O++L4h8J1sa77MF4ba25eqSjKPv8HFAGLDI9PQqZotcdnAA8nsZ/JwFjD438CA5M8hyf2x2vfD+/1Af069/f57avj763j1Od+67qvumwPzN+ffwfOv/r7OzgY/h0Mr3F/n+O+OP6hcF2s6z7qem08UHzy7NrNEg5QVBTlWcvjf9TgmDNqsO7BzIH+Ovf3+e2r4++t49Tnfuu6r/39u3SoHw6F3+PB8Br39znui+MfCtfF+tpHrRCqUty3B5Xp2g8UtfFCCHE4cJuiKKPUxzcAKDJd6+Dg8BdHCDFfUZQ++/s8HBwcHA4k6nptPFAsVH4A2gkhWgkhfMBE4P39fE4ODg77jif29wk4ODg4HIDU6dq4zyN5QohXgGJkMeFm4B+KojwlhBgD3I/sqH1aUZQ79+mJOTg4ODg4ODj8hdgv6VoHBwcHBwcHB4e9y4GSrnVwcHBwcHBwcKhHHJHn4ODg4ODg4PAXxBF5Dg4ODg4ODg5/QRyR5+DgcMAhhBgvhHhSCPGeEOKo/X0+Dg4ODvsbIUQnIcTjQog3hRAXJbONI/IcHBz2CUKIp4UQW4QQiyzLRwshlgohlgshrgdQFOVdRVHO///27i3EqiqO4/j3h5VKTj4URVpkoHYDU1KjCyIkUkGaYU7RBVGiAgWF9CELCoKIfLLMgonsIbwFwgSFWjFpJjk4jZKoIGk0KCRI3knUfw97WbvDnJkzOp4zZ8/vAwfWXmuvyx6YxX/W2mcW2ak2jTUYrpnZFdfDeXFPRLwCzAIq+t95DvLMrFpWAo/mMyQNAJYDj5GdRf2spLtzt7yRys3MimglPZgXJU0DfgS+q6RxB3lmVhURsRk4WpI9EdgfEb9FxFlgNTBdmfeAbyKirdpjNTOrhp7Mi+n+5oh4EHiukvb7ytm1ZtY/DQf+yF13APcD84EpwFBJIyPi41oMzsysBjqdFyVNBp4CBgJfV9KQgzwzqyV1khcRsQxYVu3BmJn1AeXmxRagpScNebvWzGqpA7g1d30LcKhGYzEz6wt6bV50kGdmtdQKjJJ0u6RrgGeA5hqPycyslnptXnSQZ2ZVIWkVsA24Q1KHpLkRcQ6YB2wA9gBrI2J3LcdpZlYtV3peVET03mjNzMzMrE/wSp6ZmZlZATnIMzMzMysgB3lmZmZmBeQgz8zMzKyAHOSZmZmZFZCDPDMzM7MCcpBnZnVL0nlJ7bnPiFqPqTdJGiepKaVnS/qwpLxF0vgu6q+WNOpKj9PM+iafXWtm9exMRIwtVyjpqvSPRevV68A7l1F/BbAYeKl3hmNm9cQreWZWKGnFa52kr4CNKW+RpFZJuyS9nbt3iaR9kr6VtErSayn/3xUySTdIOpjSAyS9n2vr5ZQ/OdX5UtJeSV9IUiqbIOknSTslbZfUIGmLpLG5cWyVNKbkORqAMRGxs4JnnpZbzdwn6UAq2gJMkeQ/6M36If/im1k9GyypPaUPRMSMlH6ALEA6KmkqMAqYCAholjQJOEV2JuQ4srmwDdjRTX9zgWMRMUHSQGCrpI2pbBxwD9lB4luBhyRtB9YAjRHRKuk64AzQBMwGFkgaDQyMiF0lfY0Hfi3Ja5T0cO56JEBENJPOtpS0Fvgh5V+QtB+4t4JnM7OCcZBnZvWs3Hbtpog4mtJT0+eXdD2ELOhrANZHxGkASZUcAD4VGCNpZroemto6C2yPiI7UVjswAjgGHI6IVoCIOJ7K1wFvSloEzAFWdtLXzcCRkrw1ETHv4oWklnyhpMVkP5Pluew/gWE4yDPrdxzkmVkRncqlBbwbEZ/kb5C0ACh3ePc5/nudZVBJW/MjYkNJW5OBv3NZ58nmV3XWR0SclrQJmA7MIlu1K3WmpO8uSXoEeBqYVFI0KLVlZv2M38kzs6LbAMyRNARA0nBJNwKbgRmSBqf3357I1TkI3JfSM0vaelXS1amt0ZKu7aLvvcAwSRPS/Q259+OagGVAa27VMW8PaTu2O5JuAz4CZkVEaUA3GthdSTtmVixeyTOzQouIjZLuAral70KcBJ6PiDZJa4B24HeyLylctBRYK+kF4PtcfhPZNmxb+mLFEeDJLvo+K6kR+EDSYLIVtSnAyYjYIek48FmZunslDZXUEBEnunnM2cD1wPr0jIci4nFJN5Ft3x7upr6ZFZAiyu1WmJn1H5LeIgu+llapv2FAC3BnRFwoc89C4ERENF1iHwuB4xHx6SUP1MzqlrdrzcyqTNKLwM/AknIBXrKC/7/r11N/AZ9fRn0zq2NeyTMzMzMrIK/kmZmZmRWQgzwzMzOzAnKQZ2ZmZlZADvLMzMzMCshBnpmZmVkB/QPGxrWnWDjEXwAAAABJRU5ErkJggg==\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "%matplotlib inline\n", "\n", "import pylab\n", "from pycbc.filter import resample_to_delta_t, highpass\n", "from pycbc.catalog import Merger\n", "from pycbc.psd import interpolate, inverse_spectrum_truncation\n", "\n", "m = Merger(\"GW170814\")\n", "\n", "ifos = ['H1', 'L1', 'V1']\n", "data = {}\n", "psd = {}\n", "\n", "pylab.figure(figsize=[10, 5])\n", "\n", "for ifo in ifos:\n", " # Read in and precondition the data\n", " ts = m.strain(ifo).highpass_fir(15, 512)\n", " data[ifo] = resample_to_delta_t(ts, 1.0/2048).crop(2, 2)\n", "\n", " # Estimate the power spectral density of the data\n", " # This chooses to use 4s samples in the PSD estimate.\n", " # One should note that the tradeoff in segment length is that\n", " # resolving narrow lines becomes more difficult.\n", " p = data[ifo].psd(4)\n", " p = interpolate(p, data[ifo].delta_f)\n", " p = inverse_spectrum_truncation(p, int(4 * data[ifo].sample_rate), low_frequency_cutoff=20.0)\n", " psd[ifo] = p\n", " \n", " pylab.plot(psd[ifo].sample_frequencies, psd[ifo], label=ifo)\n", "\n", "pylab.yscale('log')\n", "pylab.xscale('log')\n", "pylab.ylim(1e-47, 1e-41)\n", "pylab.xlim(20, 1024)\n", "pylab.ylabel('$Strain^2 / Hz$')\n", "pylab.xlabel('Frequency (Hz)')\n", "pylab.grid()\n", "pylab.legend()\n", "pylab.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Generate our template waveform and calculate the Signal-to-noise time series ####\n", "\n", "To calculate the signal-to-noise time series, we need to generate an estimate of the signal. For this purpose we will assume the source black holes are non spinning, have equal mass, and the agree with the total mass estimate for the system as a whole. A better method would be to use the maximum likelihood estimate from an analysis of the LIGO data alone, however, this is sufficient for the purposes of this tutorial." ] }, { "cell_type": "code", "execution_count": 89, "metadata": {}, "outputs": [], "source": [ "from pycbc.waveform import get_fd_waveform\n", "from pycbc.filter import matched_filter\n", "from pycbc.conversions import mass1_from_mchirp_q\n", "\n", "# Calculate the component mass of each black hole in the detector frame\n", "mchirp= m.median1d(\"mchirp\") # This is in the source frame\n", "zfac = (1 + m.median1d(\"redshift\")) # apply redshift to get to the detector frame\n", "mchirp *= zfac\n", "mass1 = mass2 = mass1_from_mchirp_q(mchirp, 1)\n", "\n", "# This is a frequency domain waveform generator. It has a very similar syntax to the time domain\n", "# waveform function used in prior tutorials. This function returns both a plus and a cross\n", "# polarization waveform, but we will just use the plus polarization in building our template\n", "# as these are only different by a phase offset in this specific case.\n", "hp, _ = get_fd_waveform(approximant=\"IMRPhenomD\",\n", " mass1=mass1, mass2=mass2,\n", " f_lower=20.0, delta_f=data[ifo].delta_f)\n", "hp.resize(len(psd[ifo]))\n", "\n", "# For each observatory use this template to calculate the SNR time series\n", "snr = {}\n", "for ifo in ifos:\n", " snr[ifo] = matched_filter(hp, data[ifo], psd=psd[ifo], low_frequency_cutoff=25)\n", " snr[ifo] = snr[ifo].crop(5, 4)" ] }, { "cell_type": "code", "execution_count": 90, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Show a couple sizes\n", "for w, title in [(7, 'Wide View'), (.15, 'Close to GW170814')]:\n", " pylab.figure(figsize=[14, 4])\n", " for ifo in ifos:\n", " pylab.plot(snr[ifo].sample_times, abs(snr[ifo]), label=ifo)\n", "\n", " pylab.legend()\n", " pylab.title(title)\n", " pylab.grid()\n", " pylab.xlim(m.time - w, m.time + w)\n", " pylab.ylim(0, 15)\n", " pylab.xlabel('Time (s)')\n", " pylab.ylabel('Signal-to-noise (SNR)')\n", " pylab.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We see in the SNR time series plots above, that while there are nice peaks around GW170814 in each detector, there are also some large peaks at other times. LIGO / Virgo data, does contain transient (i.e limited duration) noise artefacts that an analyses must deal with to search LIGO data with high sensitivity. One approach for dealing with this is outlined later in this tutorial." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### How well is the data actually fitting our model? ####\n", "\n", "One of the ways we can test how well the data actual fits the models to use a $\\chi^2$-based signal consistency test. We employ a version of the test described [in this paper](https://arxiv.org/pdf/gr-qc/0405045.pdf). Schematically, we chop up our template into $p$ number of bins and see how much each contributes to the SNR ($\\rho_i$). We can then calculate our statistic as the difference between the SNR in one bin, and the expected fraction of the total SNR ($\\rho$).\n", "\n", "$\n", "\\chi^2 = \\sum^p_{i=0} (\\rho_i - \\rho / p)^2\n", "$\n", "\n", "This will have $2p-2$ degrees of freedom as each SNR is *complex* representing both possible orthogonal phases the signal could have contributions from. There is also a constraint due to the fact that the sum of each bin must each the total SNR by definition. In this notebook we will normalize this statistic by dividing by the number of degrees of freedom, producing $\\chi^2_r$.\n", "\n", "We expect that this statistic will be high when the template does not match well the data, and near unity when the data either is Gaussian noise, or it contains the expected signal in addition to Gaussian noise." ] }, { "cell_type": "code", "execution_count": 91, "metadata": {}, "outputs": [], "source": [ "from pycbc.vetoes import power_chisq\n", "chisq = {}\n", "for ifo in ifos:\n", " # The number of bins to use. In principle, this choice is arbitrary. In practice,\n", " # this is empirically tuned.\n", " nbins = 26\n", " chisq[ifo] = power_chisq(hp, data[ifo], nbins, psd[ifo], low_frequency_cutoff=20.0)\n", " chisq[ifo] = chisq[ifo].crop(5, 4)\n", " \n", " dof = nbins * 2 - 2\n", " chisq[ifo] /= dof" ] }, { "cell_type": "code", "execution_count": 92, "metadata": { "scrolled": true }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "pylab.figure(figsize=[14, 4])\n", "\n", "for ifo in ifos:\n", " pylab.plot(chisq[ifo].sample_times, chisq[ifo], label=ifo)\n", " \n", "pylab.legend()\n", "pylab.grid()\n", "pylab.xlim(m.time -0.15, m.time + 0.15)\n", "pylab.ylim(0, 5)\n", "pylab.ylabel('$chi^2_r$')\n", "pylab.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "There are some notable features in the $\\chi^2_r$ time series. We see that there is a dip in the value at the time of the peak in the SNR in each observatory. We expect this as the template now aligns with the signal in the data. Also, the values climb just around this minima. This occurs because the template is starting to slide against the true signal in the data but is not perfectly aligned with it." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Re-weighting our SNR to help down-weight times that don't fit our signal ####\n", "\n", "One approach we can take is to down-weight the times where the data does not appear as either Guassian noise or Gaussian noise + our template. We can do this be combining the SNR time series and our $\\chi^2_r$ time series as follows. This is a method used to re-weight SNR since initial LIGO, and has been employed in the first two Advanced LIGO observing runs. In this tutorial we will choose to rank our events by this statistic. \n", "\n", "$\\hat{\\rho} = \\frac{\\rho}{ [1 + (\\chi^2_r)^3]^{1/6}}$ where $\\chi^2 > 1$, otherwise $\\rho$\n", "\n", "For reference on how we rank coincident (i.e. occuring in multiple detector) events in Advanced LIGO, there is a description [here](http://iopscience.iop.org/article/10.3847/1538-4357/aa8f50/pdf)." ] }, { "cell_type": "code", "execution_count": 93, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from pycbc.events.ranking import newsnr\n", "\n", "# The rho-hat term above is named \"newsnr\" here\n", "nsnr = {ifo:newsnr(abs(snr[ifo]), chisq[ifo]) for ifo in ifos}\n", "\n", "# Show a couple sizes\n", "for w, title in [(7, 'Wide View'), (.15, 'Close to GW170814')]:\n", " pylab.figure(figsize=[14, 4])\n", " for ifo in ifos:\n", " pylab.plot(snr[ifo].sample_times, nsnr[ifo], label=ifo)\n", "\n", " pylab.legend()\n", " pylab.title(title)\n", " pylab.grid()\n", " pylab.xlim(m.time - w, m.time + w)\n", " pylab.ylim(0, 15)\n", " pylab.xlabel('Time (s)')\n", " pylab.ylabel('Re-weighted Signal-to-noise')\n", " pylab.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can see above that there are still peaks around GW170814 in all detectors, at roughly the same signal strength, but that at other times, where that had been peaks in the time series, there are no longer large statistic values." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Calculating the background and significance ####\n", "\n", "In this section we will determine how significant the peak in the virgo re-weighted SNR time series is. \n", "\n", "We will do this first by determining where one might expect a peak relative to the LIGO observed peaks. This is set by the constraint that an astrophysical source can only cause delays between observatories no larger than the light travel time between them. The [`pycbc.detector.Detector`](http://pycbc.org/pycbc/latest/html/pycbc.html#pycbc.detector.Detector) class provides some convenient methods to ask these sorts of questions.\n", "\n", "We will then calculate the peak in the SNR for this window around the LIGO observed peaks. This is our \"on-source\". \n", "\n", "Finally, to determine the significance of the on-source we will compare how likely it is for a peak as large or larger to appear in the background. Our background will be empirically measured by taking portions of the SNR time series from the \"off-source\" i.e. times that do not overlap the on-source. An important criteria to avoid a biased significance estimate is that the background and experiment be performed in the same manner." ] }, { "cell_type": "code", "execution_count": 94, "metadata": { "scrolled": true }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Virgo Peak has a statistic value of 4.121405829558103\n" ] } ], "source": [ "import numpy\n", "from pycbc.detector import Detector\n", "\n", "# Calculate the time of flight between the Virgo detectors and each LIGO observatory\n", "d = Detector(\"V1\")\n", "tof = {}\n", "tof['H1'] = d.light_travel_time_to_detector(Detector(\"H1\"))\n", "tof['L1'] = d.light_travel_time_to_detector(Detector(\"L1\"))\n", "\n", "# Record the time of the peak in the LIGO observatories\n", "ptime = {}\n", "\n", "pylab.figure(figsize=[14, 4])\n", "for ifo in ifos:\n", " \n", " # shade the region around each LIGO peak that could have a peak in Virgo if from\n", " # an astrophysical source\n", " if ifo is not 'V1':\n", " ptime[ifo] = snr[ifo].sample_times[nsnr[ifo].argmax()]\n", " pylab.axvspan(ptime[ifo] - tof[ifo], ptime[ifo] + tof[ifo], alpha=0.2, lw=10)\n", " \n", " pylab.plot(snr[ifo].sample_times, nsnr[ifo], label=ifo)\n", "\n", "# Calculate the span of time that a Virgo peak could in principle happen in from time of flight\n", "# considerations.\n", "start = ptime['H1'] - tof['H1']\n", "end = ptime['L1'] + tof['L1']\n", "\n", "# convert the times to indices along with how large the region is in number of samples\n", "window_size = int((end - start) * snr['V1'].sample_rate)\n", "sidx = int((start - snr['V1'].start_time) * snr['V1'].sample_rate)\n", "eidx = sidx + window_size\n", "\n", "# Calculate the \"on-source\" peak re-weighted (newsnr) statistic value.\n", "onsource = nsnr['V1'][sidx:eidx].max()\n", "\n", "pylab.legend()\n", "pylab.grid()\n", "pylab.xlim(m.time - .05, m.time + .10)\n", "pylab.ylim(0, 15)\n", "pylab.xlabel('Time (s)')\n", "pylab.ylabel('Re-weighted Signal-to-noise')\n", "pylab.show()\n", "\n", "print('Virgo Peak has a statistic value of {}'.format(onsource))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In the plot above we see the re-weighted SNR time series. On top of that we've shaded the regions which are consistent with a Virgo signal based on the peaks in the LIGO observatories. Only in the darker region, is it possible to have a peak in the SNR that is consistent with both LIGO observatories." ] }, { "cell_type": "code", "execution_count": 95, "metadata": {}, "outputs": [], "source": [ "# Now that we've calculate the onsource peak, we should calculate the background peak values.\n", "# We do this by chopping up the time series into chunks that are the same size as our\n", "# onsource and repeating the same peak finding (max) procedure.\n", "\n", "# Walk through the data in chunks and calculate the peak statistic value in each.\n", "peaks = []\n", "i = 0\n", "while i + window_size < len(nsnr['V1']):\n", " p = nsnr['V1'][i:i+window_size].max()\n", " peaks.append(p)\n", " i += window_size\n", " \n", " # Skip past the onsource time\n", " if abs(i - sidx) < window_size:\n", " i += window_size * 2\n", " \n", "peaks = numpy.array(peaks)" ] }, { "cell_type": "code", "execution_count": 96, "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "The p-value associated with the GW170814 peak is 0.007228915662650603\n" ] } ], "source": [ "# The p-value is just the number of samples observed in the background with a \n", "# value equal or higher than the onsource divided by the number of samples.\n", "# We can make the mapping between statistic value and p-value using our background\n", "# samples.\n", "pcurve = numpy.arange(1, len(peaks)+1)[::-1] / float(len(peaks))\n", "peaks.sort()\n", "\n", "pvalue = (peaks > onsource).sum() / float(len(peaks))\n", "\n", "pylab.figure(figsize=[10, 7])\n", "pylab.scatter(peaks, pcurve, label='Off-source (Noise Background)', color='black')\n", "\n", "pylab.axvline(onsource, label='On-source', color='red')\n", "pylab.axhline(pvalue, color='red')\n", "\n", "pylab.legend()\n", "pylab.yscale('log')\n", "pylab.grid()\n", "pylab.ylim(1e-3, 1e0)\n", "pylab.ylabel('p-value')\n", "pylab.xlabel('Re-weighted Signal-to-noise')\n", "\n", "pylab.xlim(2, 5)\n", "pylab.show()\n", "\n", "print(\"The p-value associated with the GW170814 peak is {}\".format(pvalue))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In this tutorial, we find a peak in Virgo as large as the obseved one has an approximately 1% chance of occuring due to the noise alone. Given the simplifications of this tutorial, we find a result in agreement with the [GW170814 discovery paper](https://arxiv.org/pdf/1709.09660.pdf) which reported a p-value of 0.3%." ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.7.4" } }, "nbformat": 4, "nbformat_minor": 2 }