{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Robust spectral line tracing\n", "In this notebook, we will attempt to trace time-varying frequency components in a very noisy signal.\n", "\n", "We will make use of two main concepts:\n", "- A low-rank filter\n", "- Linear Time-Varying models (LTV models)\n", "\n", "The low-rank filter was explored in a [previous notebook](https://github.com/baggepinnen/julia_examples/blob/master/identification_robust.ipynb) so we assume for now that this needs no introduction.\n", "The LTV model however might need a few words before we begin.\n", "\n", "A linear time-invariant system is often written on the form\n", "$$y_{t+1} = \\sum_{k=0:n-1} a_ky_{t-k}$$\n", "where $y$ is some interesting signal. Oftentimes we can not observe $y$ directly, rather we observe a noisy version\n", "$y_n = y + e$\n", "where $e$ is the noise. If $e$ is Gaussian all is fine and dandy and we can employ a lot of common methods to identify the coefficients $a$ in the linear model. When $e$ is something more nasty, we're in trouble. In this notebook, $e$ will be very impulsive $\\alpha$-sub Gaussian noise with autocorrelation, making most common estimation techniques cry. This kind of noise was also introduced in the [previous notebook](https://github.com/baggepinnen/julia_examples/blob/master/identification_robust.ipynb).\n", "\n", "An LTI system can model a signal with a fixed number of frequency components. Two $a$-coefficients are needed per component (one component has two parameters, amplitude/phase). If the frequency components change with time, so must the $a$-coefficients do. A linear model with time-varying coefficients is called an LTV model. We will use identification methods from [this thesis](https://arxiv.org/abs/1906.02003) for estimation of the LTV models using a Kalman smoother and the package [LTVModels.jl](https://github.com/baggepinnen/LTVModels.jl).\n", "\n", "We start by generating a signal containing a linear chirp and a funny sinusoidal chirp." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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Xd+/evQBgmuYXvvCFo0ePWpb1ne9854ILLhBxLQpQ0lJBI3TLJ0AKi0O36WiBpGHUsCQ+OV6U0YJKt2G0QNJQUecKCQHAWFGGuEzdgpFCKnhhxpLQ63CBzIonjqaCFpXhpIYoQ3jXXXcBwJlnnrlz58577rnnU5/6VL1eF6RiTgAqWirYEy5nBABKmvDCBsOGvlxaSAQtsoyEhkS6BaPFVNQRmjbNKwQARosgoQGFYcNIPhUHvobTMoSS5EaTP/VkOKmBHBptlZW4fyCEeMtKBIEClDWip4BPb9q0oCoAsKZIjuv01H6B96NbUFLTskHYDqhEkl+u2zBagHoKBCvMpQDAaIGcMIUfSeoW3VR00mAIW5GP4TzMiq+gIJkhzCAYSVckIaGcDo/QsKGgAACsEa+y5haurcKQkW7BaDEVMeFWhFCOR6jbMJqnaVATdMsnAGTU1LuNXAqqJEn3DKsTPS+x5lBQCVTSkSNsuQhrxGfLWqfyVEEjwiu+DZuuL6fCEHo9Qjkx4eF0hEbNpQPfcEG4yppuQ0kDjUDdghUwQIvF4te//nVvp4VuYNqQVyghxLQhr4o9htoUHAqUQj7p19y9k5wClELTEX4/lgM2BU0BHyfs0KFD4i7a84ZQt6GoQjk1htB1EdaUyIQhNlSr27SopiVo1LqJ8SKcMGGdyLqGxdBoKhyjJY9QSqrMptCXSwVZpjXw4Ty8IrgTU92CsgYaIXWLDuU7fqFuvvnmb3/721g386mn7D87p97f3/83v3B+/3VkTGSHmR9P0FcW6K9m6F+8MWFL+PQUPViF959Gmg78xbP2X/4nsffz/73sTOhw/ij5zQ1tj3fr1q1uAYII9LwhNGwoaakhyywbQtgntp5+ceB5FRpOZNsz+RgvkUmdriuJTY6OFEkqyDJLnBFNkcRaKqswnYLkqJc1+jPBnZjqFi2pJKes8KRbLBZjZan5cYdmvefi2bGxse+ssd92nvL6EYHrvP4fzmYTDr7svP+9Ce/S9IAzPA/vP18BgM/lLdH389geeyPAWYPk/b8hb19LzQ66UugWLaqkpJFUuAhLO+OaRbExgdCtFLnCrf1AgtyokSayTEHuC1RS0+IRFpdYo8JDoxaUtUU11/RAQu+tugWVXCoCPq3zvRzUmjBelD3dPW8IU+URtvJ2EloS6jaUVCin4wTQwniRTAruUqtb0J8DOwXUCWOJMwIAKhHuFBKAkrrYjjFZtA58w3nhLQnrS4Yw8ROAS9txMZiDOcExiZoFlXSw4Uy5dIQFC9YUZRcK97whTJVj1GLTrSkJ9wgNa+kEkHSQ0LtBSPAIdZuWBMtbc8J7Uh6RkiZMzTpvkWWEs0brFpRcQ5h0DMA73QN5Mt8QPvByOjJXhmfgEl68hSYdL8le5z1vCI1FxyhtG4Twk/IySyjpDcL7nrg5QqGXc48+aYD3pDxWJCdEmgQKQEiKQqPugW8wL9wx0m0op+MFb/nBICk0SisaSd79bz8BaAo0BUc+FpowXiRZaLQzuPYgJaHR1oqR0LXcsGlJI6nYIDz2QE6OMCVKAt6dUXQpoWFBUU2LITRs6s64SoTHqOsWLWmkpCafAvCmhCUYwlpqPMKWlCAA9OdgQfDRx7BhuJB5hB3CzREuKcskDG8JHQFwRN6R0ToBJB0a9doDCYbQLeFKA7wn5dGCWI9QT1vkQ9YUpCdHaNi0uBSTH8yTOfGh0UoOiiqYSYd8TE8uvD9Hqk2xAycAZVV2oKvnDaHLGk2JsowXomvLXIm1NNBlve+JBLIMABBIhdSI4XERRgtidbeXHKN0FFA6bYZQ6A25J4A0qOq3eYQ5mBdPlimnY+Be7Y6+HFTFn7zlk4R73hAuskZzyS8XH9Yu1tSLQnqUBLwbRJ/4yIn7TNMycFmhUVdRr6TSxFPCsCQt62IgL3ZnrKemfMI73dLKJ8pa8o1WvC94v3hDSCGB833PG8JF1qiaOo9wTUmsytoyazTpgSci9paGuhHThuKSQZATGk1DoMwH0cTR9IRGvX7wgIQcYZNWUkMCKHhyhEINIQVQCJQ10LPQaEdwqRMp8Qi9+8F4kRwXyZ9MT9LIlzFSCAg9wrqWp5yG5KhNvR7hlGCP0KVO0OQjo20QXUqoW0skgKQdI8NDV5aTIyxrUFaTf8G9J93+HFkQmSOsNaGsQVEFIwuNdoSlCGHy/oEPa0V7hDYtpu/ACAAj4ktHAKCSgroRr4swJjo0akMpHRQhH0SLy+g2LWskDfbAO90SVP4bDuSUVOQIZXqENQv6kuDK9rwhXGKNJu8fQHu16ZqSWNqIS5appOAE4KNOCOXLtIr303ICWCbLCA6NWlByPUJx11gRVlFotF1RT/REtCIfkoOEQXhfcNFkmYUm7csRkL7Oe98QWrSokrz4Ms9YuCXPLawpwXGxHmEayTIguIJCX4rSpGHgXiUB0fejL5XupQHeTUp0aLRupScFsMyOloY0DNzdY90/i/YIFyzoywn8/Sj0vCF025WlAQ27rQuE6JaEbjldGupGjPYNQqi4TMsxSkmFdVFaFYG1GBoVXZ/aKYSHRlPjERrtKQA5LdBSsc4db2hUbB3hQhMqWWh0BWglchPfHHzvyRrB5RNut8M0dCT22YPxokDBccOmJZUAQCWXfDDclLgztg58icfK3FbYLcgJjaajXrZtncsh6JVSUjfiKZ8QWh+10Mw8whWhdVJOHL73pKiCIX7DSsNJ2WcPxIZGlzxC+doTQfiSo4N5mBfmG9WX1nniM+6bbvGh0dRICbZP90BOIHG0sdQIPg0DNySSZRaatKIRANmVQj1vCFseYeL9CEzHn0KQcEtljdQSPykHyTLiQqN2WuwBBJJGQvkyyyeApH0j33SLZ41CWYWSlGMlG74TgNCa+lbriTSsc+ppLyODNZoDANl02Z43hK2QkQRZdDaCAoxFVXhYIw2hUcOS6hEWU7NBGO0sIaHiMvpSTDjxgfv0E0SHRt0ZV0jymVHfdAs1hLUlx6ikJs8a9aJPfI7QNYSSK0d73hC2GE2Jm4Rgv3KhacIWuzpxe2A67axRkXUjxrJHmLqkkVC50VZBfQrWeZsfPJSHWZEeIU1BsMeFb7rFGsJljzAV7QRakMEaXWTDZR5hJ/CQCEiqTsogkjjaKtUQLePCA5kbRGu606Al1HRAa/MIyZSwE4CXLJO0IWw794juxJQSKwiBE8BgnswL843q1iJ5MvHp9qEgOHVXW6ojlKwu2/OG0PAUliWbLQuGRteWRPEnjdQ0p4XABiGWPLkUAEiD1IgPowWRodG0kmVAMGGbBv6QFHwDH8jJ8QhTt86FYiGhE0DPG8JW9V7yISPHv0GMl8iEGNqIV3Ar8SNzcGcUZwtTRZbxQWiTet2GokohCWF+H4LrXE5FXeIIkoSFkmVce5AGiTUfhG44rRyh5ORozxvCFhLfGYP2YE1RlLiMt0do4ntQcGccLsCsmGyZkZoIYRCic4QpOQEEoxFC80atbTfxDpSGPwUgsHyiZtGythj5SBVZRjRarNHMI1whEtdYMW1aUNpOS+LkRr3Vk4l7hEaAJSRObrQ18Eou+boR35MXzhrVUsEaDTv3iCKOuvJJLpIfeDLlEwkHAJoO5Nrf7pwi8ESy0Fwiy8gd+MlkCBNeMUZojlCMR6h7DqdFLeESK9NeLGloQVwFRaq0Rn0QXkeYjoEH2dHDwvqN6PaiPYAUvOBmoHxCXJP6WhMqSZTTBREMdAltvt0S3c5CoytE4jRCM8gaFZYjNDwKq4nTRoI7o1iPsKUsk7Qh9I1wSFhAGADqSwHJxCV1gtrTw3lRNfX1pQghpOQEkERBfbKh0SAZXqjcaEaW6RaJN6kPHp1GCjAt6KTsCY0mLi4THPh4CSaFJUfdCKGmgJVoxshtpe0FARB3RzZdLNVIvLAsGPkQFxqte9d50kcfw15uwgCCJdZqS/ZAdHVKLILnHqEpYWupJEmyyGpvG0LHo/2T/IExjE0naA17j2nJu8IBbTmBoVHPzphshjBo/kFkvrb1y8mv8xBDKCw0anlDo+kauFB74HWFE17ngW1NtO62i8wj7AA+e5BsO4IgZwSENc3RrWXWaOIbhE9iDYSGRgOBmqQQDAiDFFG9xKfbdPxTIDI0umwIk8+WtZsEoapvrfKJxBEWGpVBEs4k1jqAd5IkP7ggQl2EUTGSxIbtDY0mv0EU/YZQlEfoTY4mS5cNn+4imRYpvAlpmG6ZodE0rfOG7edPikPNcwJI2zoXLTfqIpNY6wBex6iiJewRNsIaWI8UybQA36jNFU66biS4QYwJa0Chp0ZSJxgQBoDRAkyJ7EkEKZjuoCssTm60xY2CFLBGQaJN8rrCyacA2qd7IC/KI7QcUJeulYVGO4DfMUoZvQrcrloC8oR1zwaRhh7Wvg1iRFhrHi+fPpdov5FgQBgAxsSUErakZQGglD6yjDhSmDdVlrY+DCCyZ17NExpNlhcW3Nb6NFGGsKW4DRlZpiP4HaNEPULTWRR786KgCHlVUpUcDUJc+qTVbATcgSfnG/l6brgQVEroDU8l7hE2Aq7wUIHMigmNes89iZPCghgU5gq31Y0kWjDTahHcgrgcYa1JK7lkqA+9bQh1T8Yo+Vx6oK4cAPJidKH0NOVOZLon3oEn6woHy0ZBmLiMt4og8XUelFgTSpbxTHfq1vlAnsyLqaDweoSSfSMfvEdPF/15siAmR7hgQX9u8c8ZWaYDeMn0laRTCKGhUVEeobVYTgcpMIQyk/neuFyyLkIUN0qE3Kju8Q/UpBtvBfn04mJ39TSVTwTX+WAO5sT4Roa1fKpONjkajISL8whb+mrgRsJ71yN0HOe2227zflKr1e6+++6bb775nnvuqdVquJdrZ40m7xEGY2V5MVkEX0w42eRoKARZR+qtHE3URQhuEAAwWiQnBHCjvJGPxBG6zgWh3RCmq0UtiBSXoe2VowkmR4OccLGGcNkj7NnQ6KOPPnrHHXccP37c++FDDz00Ojp65513joyMPPzww4iXg/YmDImLbgeD6QBQUIkp4ACvtxlCUhPPZk4hkp3xRsAxAmEsofRwZSFaSUDEEtTbIx8JTnfo6IQ2oGgh2SN+cLoF5gitxKhwmIZw06ZNO3fu9H343HPP7dixI5fL7dix49lnn0W8HLSHRlWR9a08CAbTASAvRqndSysvJa1GGApB4TLvDEvuYe2DT3DLRVEVIoDu5YwkjtAUgCAhZu/Ak2WNNsLM/2Ae5sV4hN6FlWxyNKgT0pcjVTHmv7qkuO1C5naO+XqdddZZwQ9nZ2dHRkYAYGRkZG5uLurfTk5OXnDBBcHPL7/88ltvvXVmZsayLEXxm+3J2ZxtKVNLpVtNq29qajb2Pu/dV9h1Bn4mZ8GsVGfm1Frb9NlGYcpxpqaQN4m5elmfN6aoAwDNBfVENT81FSPuaTkwb5GR/ApXV71eVxSlWCz6Pm84QJyQx644lSOTc2UVeTFbnikmzeLRaWsqn8wmMTWba+rLa89FTSdVvTw1hZwCOHZCow1taqq2sLBgWZbNt84FYcGoLMzVp9q3wgqp7Ds6t6mMPN3TCyWz2pjSbABoLCgzteLUVB33EpyoWoTY5amp2enp6daHxMwdrvrXAAratrJG4di0M6UlQw2fmS/ki207WMOBGV3ICjw+mwcLpqYWDxdWxDqvVquFQiGfz3P+7NDQkKbFWDoZ50yyVANFaeR7Mj4+/vTTT0f9raIoQ0NDQUOoTTljBMbG+hf/V7PGxsZi7+d/PNT8r2/uj7/vDmEr1qa1o35C3YRT0GBsDDsXq9kbxkpj/QQANmjUOeSMjVXY/+TFWfpffmZ/610rnPFaraYoSqlU8n1ebUJfIeSxVwpW/9DocGFlV4tEzjPFo0ccrYz/bDmRn3FGteW158LWgapci7Czaxl0tN8ZGysVCoWhoaFywRoYGQvW6siBo1obxkfH2k9Ea/ts0lccG0FODTuavWGsPDZMAKBepM7LzthYGfcSnObxsC4AACAASURBVKAG9JcWZ7Y1v5tqztS0fw10D5tCMe9Z5wNOLrl1rh5yxof8V3cU/EUOAHDcWde/fK1cxH6ez+eLxSK/IeSB8Ic7ODjonqFmZmaGhoZwf9zH5OZ5C5sOTBpCnO6GHVZHKIgs45PU4XCKJg0hdxKaMQKAgoAgobeuHFyWEMfAv/Ci899+iR+lDR24oOnWLVryhGETTxoF17kg3e120e0ku6wE226DsByht2gEuNe5IAS7T4hDqz29C5mTLdAQ7t27FwC2bdu2Z88eSumePXvOP/983EusQIJ5ygCHCknDelthtCCONeptw8TDrp4yqIhsZdR7UlBJAztn6xNz4WRPTOjQEHECCCPLFASlhNtZo5wzPqELuZnQAkpBcqP11JQJhZKEBbFGfYrbyVaOhq5zQVho0oq2vJkIlTX3QaAhvOuuuwDgqquuOnTo0K233nrkyJEglaZLtLrTueDp1T5lUABRwkhBFBQhEmt6e91Ikh5hxHsiooDSa/6Be2ecMKiIKQitIhDmEa5k4Lv+3X5hBn8jCWVHC2rX3kaW4Xi7xSE0ACDIENY8ZaOQdPlEaFMdQfCWTwBASQz1LBT4OcJ7773X+4dyufzxj38c/Sou/BuEutzIOwoTBgAIOSmHIq8KcUe8HDbODUKQfxDKIQQxkjp6+7mnrJE6BzN1QofhlVKEGDDChIQEnWHrFgx4EiKcBZTHdCExAEpDchCChCPqFpSXVpegjmacCPWDB8Uoy9QtqLTbg8OJRsJDBLMUaIQpSnYJvyHU5PGle1tZxrcLV3LxWYQTix6hpFeqoBBT8OtLAKJJSMuYMqigHGHo+yBiZ/SV03Eqy0yKGjjNB0PhYrAyV/i4LjHyIebw3upX3hEePixA7jUs8jEgRlmm1mzb/ZNVlgmNfAyIqRupeUS3Qe7Ae9sQ+nKEPBuE2ydP5gYhwiNcAcSRZUI9QhFBQt0OCQDEQmaqTBC8zUagA0MoxCMMhaCY8Ap2QQpw4+P4DlSoPRBULFu3l/1gSL5eNuQE0J8TIje64BHdBrlZ4d42hEZgg4jtwzBlQH9OXmi0IKYN0wogqGV8FGs0LyA5avg5I5yGUIxHKJFEoNs+1iiJHfh8E+qW3AOfgHW+Ao972hSStwu1B4JQa7aFRpNtMBd64OsTIy6z0O4RylQS6G1DuCKPkG6qEGkbRF5M7mQFmDXb8kxYiCTLCHCFg5yRWJaQ5YBui/II5RnCEI8w5lhzrE4BAJ24G4WCIkRK0Aceu3i4JpUdLQL1drJMssoyoQMXpLLmS47KdIV72xD6WKM88tNTBmys4O+M3t7KXsgJjRISH0SiYiabUT6BvjMGzj3xKYQpEzaUhZx7ZLLp/DFhjgPfcR0IyAvLywmN8mQiD9fAcvBpNVGR8JyA6KivfILTHsw34ScTQkhhYaFRIYbQaedhyawb6W1D6HMReBrUTeh0Y5mgbxBBjXYXIrRGgwWLsS1LxJ3VI1mjAgbulWAGvg3iuE43Czj3gNwcobeuHPg2iKN1urbU2ykAh4LviMUz44cXXWHkm4kKjQ7k8OtGFgJ1hDzlE89O0b95Hn++fUQtF31icoQ+lFR5LQl72xD6duE+jl7t801YU8JnuEX1phFxUg7anthe7fMNGBQQFwXpA/dGCHkkdSZ1EBQJN+2Qcjrg8847hc8V5hn4hAGn9OEPvOFATtZ0B5tP8cQAjtQBBLDhQpuNAEB/nlSxTYLv3FPmay/zygIVEZ0OLRsdENaAwouMLMML32bEc1KmYhL7pg2hEUIRnJEVbBCTBh0vEkVAT1eZZBlfAICHs3dcp5v7hKTKQrtPgJj2McGkUayLcKxOt/QREes8nCQsIBdet/w1ZDwv+OEaHSviTwEj8oE+8JrlJ0/yeIQHqlSEYFZo2aggsozvQqUsR8gJ2v7sYk8Q7vfzCmlgGwTDphFVBAKuFej3FFtIMGnAeFFIwjIqZCSELNN5f9oJA0REwkGuSQiQZeJb1B7T4ZQ+/DuJPPcI8Ah95h/cdR6fI6Sn9ePnp6NSwkUBA/fVEeYVrlfpYFVeSrg/BwvYJiqoUJF5hCtEbMhorgFDeSHOCkN7WkrIKM4Q6nS8RAQNPEpZRnRBPQ8mdbq5T0gFC4MuK7yAkiM0eqxON1dEeIQR3CgBS8srK+OCLysMm4QMPHq60Qdut+UIOXGgKq9stF9AS8KFpn/UMjtQ9rYh9L2RlbgI4ZRBR4tExCHOjBAcEvGerCBHOGXCWEHI6TVq4EUxAw/m7dmYFOYRhjYbATF0WbtdYIVHUmfSgE0VIdMdYQ8EkIStEBch9gRgU6hoAnKEkexoMLC9lmBMmOfJzjflVWqJYI3WrDbFbcg8Qn741ke8Y2TAmqIQGcxQRT4QkzHypcqAY+ATOqwpQV5ARwjTXm4I5QVnPKcj+LRGeXBch7UlIaRZO6zZCIihy/rAU1hmUShrAhqARAsJoU+3r4oAOJJGLqVFxBREDlzAtWoB3ygWTQHKnwyIyBFWm9Cfa/ukxJECwEJvG0IfeCKEY0UiIr8dRZ7kFALtCMHQaGzdiEuWEWGcolmj+CKrwROAFnfOmDToeElSHbQLQRV1XnDmwkUYJ8kRwnKHpLCjdbq+TIScdKMj4egU9FogORq7gl9doJv75K1zIR5hu+I2AJSz0CgPKPiP5LGRkylzkTMioaShBfQjTUhoNP4EAOMlUXHaKNaoCLJMpwMXd1KO2nUkiOrF2oNpE0YKQhyjyHOPEIpQm7AccJwADtdgY1nI2vP1wmxBREw46ApD3DZycAFO68O9i0WQsIUuQmt0wQoYwiw0ygMjQJ3gsQdjRanlEyKgB1mjcSeAlkcowhWOFN0WERMOcRFY/0S+aL+IY1anKYBjdbquRETcSZRHKEJ+uh4y3XGGsE43VIiItRelmCEi7x4ceGxM+GCVntqPv/9ElY2K8Ah9XXkhK5/gRNA/iD0pTxlL5En8DYJGKU+iL0+jc9boCRNGCtJjZYIb80Kc6maQdCAB6KuLBpZQ7ObrZkZFRAgZkQ90hNQRxpVPHBHmEbKEI7Afsh0qqcMc0cEFIYYwatQiqA8LwdCoRLXxHjaEwYrm2PKJKRNGC0KiGTJ7EYSzRpkHNFetStBJWVo/wmClEXvGXT8YBJxFINrXRHcRQo8a7OV7XKdry0TEFDQcmpcW+Qice2JDPkcWc4QCXvAIIaGigBxh8PnGHvEPVuFUAaFRqT03AgHhrB8hF4KBsmJcr/ZJna4pEVGhUVnPsh7CGuUS5RN0UpbWoT6kwpq5M7qOkSBEWQP0zJwe5teybdExHdadlB6hRgzmznioBpsqglij4UJCIsJLwRHG8oQPVOkWAWQZM2LUIhD0CGMllBHRw4YwGCiLpWi6HqEgdrVMj9AfGmW+J7WlDUUMWSa6wlp8QT3bEE7osKYIIED/k9E5HT3esKKiEbpOVApA5oEv7NzDDo3W6cYKEcQSktaAOohYJYGaBX05/Iy4zF5jvmaEwK02joIeNoTBHGEsmg7kFCFrl9GLgBDkpjBBe8AuqJ/UFyOEeQFN42QqywTdEbb4ZKt2At0VZkTC0QceLBqJxbE6rC1BQUjZqNQujIHyiRjHaK4BAzkxufCIGUePhAdTwhA38NY7qCnIYsIyAwC1Ju3LtQ1dJWDL0srpYUNoBEKjnBB1Uo7aGbETy4bdGa3cLRoB2YVl+LtwWF8eVhah5RGiuwiMZoToYmOhCqvs09Uxna4rCykblRn5WAFr1OX6C5ISjBQSQl3nodsa+8D3ysJiXBR9Z5PtEeb8H0pjffewIQz1CBkPrnVuEpIjjHYR0AOSnarTukWEIGiDiCo0FnDaCILNnpg06JoSAQHxK0a/cvTTRqhHyKYRnjBcUpg8aVkXuNuWHlJQz5ru2QYM5gDc/DT22gs2AXWBvrRqYSlhdme+gwtwav/izeDubFFFIwCgYnufQa1RmehhQxiavlaiT8pTBh0rEhCzR7N3RtGxsgqzY1mLPCnCI7Qcv5fmQkI5HcQVULrCcgD42nIMe4BufoKOEcSZBAdAIWK4UcyYMG7kI0x0mxUAOFyjGyuLLzj6STdSPwF7M6kHJDchbroPVOmpfUJSAIwAADpdNkiWkYkeNoRB1igwT8puKyIQk75ikAjQuz6FFVCySATLAxfgEUZBRKVREDFkmdYJQGLICP1awSoCYJqEVgCZcShcMVgHPnyTEJQSZE33kTpsrACIecGjIMIjDDpG7HXeqqbPK/gHPmnrfCGQI5SJHjaEoYlcxoqZNGBsMVUmT4wYxIRG/XUjzLfR6xGibxAyV26nJAI3QggCajnkkmVCWKMMnnBrnYsA48AnIPLhZ42WmPVRh2t0Q1mIPYDoqC+61mioCkSMIVyA0/oBBKxzw6aF0IgwQFEjBur5vhZgjYIYxaJQ9LAhjDopRwUJBYdGJboIYW35GHUjrRyhiORosmAXUDpLarToUxClPAkCjlkR6zxyZ3RrJ9w/y+TTo9eNBEW32fVRh+uwsQwgJkcYBfR2YzULKoEIIbsz38GqQLJMaFMdACgoyCeA0DBsSYBeQSh62BAagXZl4LInOEKj0vp2irhckDXKhic0il8+IQ2hT7iiRUrqeGno6F6a6TBZo9jnno5chGMiZQSkRj6iTxuhcIsIQXKOEHtprcAjNITRABkBABEiq0FI093uYUPY6Um55RGi1zNALGsUnSzTCb1q2RUWcFKWZldDScKM6Z5rwFB+8c8iNgiWPUDPEXZkCOt0rbDOUzIjH9Bh4P1wDTa0PEJZkY8C9uGy1vQHhMGNfESkhHVPTlEmWUZE/6kgSrJU1nrYEBphihsMF2FqyTECAT0CGSdl9HhFp1WujSU5UJlkGXQEM6PAZAlN6Iu1EyCqviqaJIwtsRY88DE2iOM6rBPmEco88HX6jh6t03VlIRHCJktICNsjtEPIMow6woMLy+Jq+Lnw6K1GkkcoqyVhTxvCFZJlRCCmsAx1dYb2RlFIfFkPukcYrHD3ArmqLNCdDpjT3aqdACEeYWSzEfRduFOP0FXcdv+M7hiy2NESuZqhaPWelBwAwHWMas3w0GiUPThQXWTKgADhCMa5B7d8Ithc1kUWGo1HRKExqUWclKeWyJMiwGLTSSktj1IjbHiWMrqzIlVwK8weMAooJzzTjZ4cZYeMsAvqOzsBHPN4hCLIMsUI4VN0SZ3Qy0QZHpsuO20yFfXQjW5oV17GdB/0yG2ju6dMUhjmtWoR1fTSWhL2sCHs1COsNqF/iY4lk00noilMEFEDn9QXE4Qgd4MAVyoQb9yhXFm2R9iKhItQ3GBVEYiXWGMoCbhded0/57DZ54ZNpZVPhCJqxo/VaYsihJ4CYMR7YoX+O0WEsgwrNHpaf2u6kUuWTSey+0RBxSyfCNVXA4ktCXvYEEYV1EetGKG2qBnRyhlkFS1UIlzhSQPGCst3gl7RyOhFgOsbheYIGWX7E8ZyaFSmBqOQuvLgCSB6Z5xpwNDSjOPHytiuMN61oi4URRs5XIeN5ZZjRPA5IxJ7boQpy0SmhA9UF/XVQO504+YIg+3pXZTUjCwTh1CPMKpTK20fqswycBEa30FEnQCmjMUiQhF3Yto0KlAG2Ha30yYMkzpdU1wOGUlMGmG3YQo/8LEKKFtTgi+yygoSYg48tIoAotd5q3YCFjkjkhT1APuEHeoRMtowvbpAN1c8IR9Z5RO4ydEofbUsNBqP0D5tUe/JjAnDheX/lVlMh74ZhVqeyNCoJ1VWULEjJ8yTMm4kVu+wR2hSHiG+skygrhyip9tqj0yg74x2hLQsYLvC9TA9HYiOlbVqJ6DHmzDUQwvqo8kyTR8JQBZBHdcjrDFCo5khZCMiRxjuSk8ay6kyECPDGAXc8l6bgho2aVGu8KTRliqTSZbB7VDTafWkt3wCncDCIsvgd6jvgCxz3OMHg6z8tAvcXTjU/EP0wFuK2yCorjx6neOGl2oBqXH3EqFvkpf3ANIj4cgeYShZJiufiEVorCyqL4+3iBDkio3hughRZzQej1AyWQZ9Z+woNDrfhIGlPUImewK9liv0BFDJRRnCNlkZmesc95gVbD3hIjo0uqivBgIE3yV3YQx6hBBhblty2y7QteXY5ROI073QpJUwxe3MI4yHaUOem0bo8wjllDS0roW4GUWlyiJdYX05RyhCBIuRO8E9n4aSZYBPlhfdI2SwRtFphOEKShFkmWM6rCsv/y+6i8AA7rkntPkURLMnDtfphiWPMMp/WjEYbfkAPUcYpiwTdZWDC/TUvuX/xW9AHf2CF1Qw8EzUQpjiNixyo9CuwkAPG0IIOyVFRQin2qvppYowqQTVIwxPlUXx6b2hUZUgk+mleoSRJ4CQpJHdXukvoj1NR+I+3SBU1iTq3HNMb9NXk1PSsHgt1MNlVGg0SmPlhAEjhZDPUcAIAAB2jUpoHWEUDlShzSPEL6iPHHgRNfGx0Az3g0saMEhhiEBrCVyr1b70pS/t27dv69atN954Y6VSaf3VHXfcsX//fvfPl1xyyfXXX4910SCi7MGUAWcMLP9vQXGLYHDC+xSARP9SQQXEPI0eJjUO0bGyKYOOFpZvDjefYdqLWh6hwNWnj4oJVzRS80RBXbQaMC3eCbb8R2g0QhCiuFGh63xCb1vnchjLLnAfctS5Jyr3Ae0PCn2dM0hhrsZKH5JPEaobBREjemWBXnXK8rcLKjFtTEvILp9A9AhrVlvqqoVymGTmgQVyigb5fMj3Vww0Q/jQQw+Njo7u2rXr61//+sMPP3zNNde4n1NKjx07dueddxYKBQBQVbH7B4Ms85Y13hWDGStrMO0B7jEtKlVWVmHGDPk8qlIVBSaTyYmbsdAtWgoTfFw6M7bdxvF2x0gEiUCaRxh6hori0x/T6dvWtq9ziZGPhoN2sVqgGaGLUD59kHOI60Swc4RuxqEv8u9x4AaxfPvMgSqc1tf2HfTkqJxmIwtN2hdm/0PJMv/XL3KfvRCGy8GvrxxohvC55577wz/8w1wut2PHjnvuuadlCOfm5hzHufvuu48fP3722Wdff/31uVzIxmya5mOPPRb8fHx8/MwzzzRN0zRNRWl7UpQqpunf+zUHFhok+PnxGhlUrNbHKiULhmUixVLmm5AnIRd1oTik3gDTxDk+zevutfy/lqMwZxDTDOwA7U8p9KHxwH3+vilYMEClYRcFAACNkpppR/1tp1hoEI2G/FqRkJmaZbYfDw9XyWh++ZkTG/RGyENbMepNhdhW1INc8UNm/5pt2+6L4H5uOyFXObKgjKht67xmoE2BQ4FA5NBw13nVIDmA4J3nHJgw/UvuwDysL+Gs81DUTKLSxZtpNBq+X84RpaqbWIYw6s4LhMzUzKH2df7agjKuLU83sYmONwUAYFqK0wx/jsSCGt47NW+SAoQsVM2BWkPxXeXVGqzRTP5Vnc/nCSNk516I/17ZmJ2dHRkZAYCRkZG5ubnW53Nzc1u2bLnuuutGRkbuu+++3bt3f+xjHwv+c8Mw7r///uDn27dv37JlS7PZbDQavl3YcfKNRiP4T0wr5PMJPTeoWI3G4rPLkdyCYTVKOBtE1SA5ojUa4W0viK0Ylhr1t51fS8mD0mgEDaFSa/g/tyko0PY0oh5aLJrNJiHE59DXGqoGJHgzLlSq1UzaQPIKF0xNc5xGwMEpKrl5w/Z9fnRBHdaWb4w4RG9GTtAKoFt5YkU+yBU/ZPav2bbtvgiMqxyt50e0Zmudq1SrNdCmQLcgRyKHpthKPbACV4x5Q80rELzzPChV03+VV+aVNfm2DynqFNRMtaQt3kyj0fD9cg7yC0azoSKdNiLuvKjk5/Vmud3XbVh5x1r+NrEVvYk2Be7NNCMeo0ox36l5M1eg/rcYFh0b/wNp2BqNfvuC0DQtNhKJZggBoGV1qYc2t2XLlk984hPun6+99trbb7899N8ODg5+/vOfj/rlZrPZ39/vNYQUQNOs/v7+4JcVNeTzOcs6ZbTYCq1VirZWLPT346QSZhVaKTj9/eG9LYYt6iiRf9splDk6UHL6+/2NdsZ1ak35P5/QYbzc9jTUsIfDdV1FURSlVGr7fZJ3BgkEb8ZFf9lR8tDfj5M8sVV7pF8JTtlgyYaCfyqr4GweWr6xEZtSFW0KAMAm1thQf39ERGHFDzkU2tKv2bYNAK1fDr1KzbbWe5Qj+kqOijgFDajkI4c2bLoPGacFlKM5I+WQOx/tp07Vf5WZ485pQ23rMHQTWDFI3hksLd6MaZq+X64UbK2Yx9pMtIg7HyjaSvtV5howWmr78hDqFABzJY9QauNtaybYawZDNuTxPDRJ2z3MNmC0aPT39+dRk4RorNHBwcHp6WkAmJmZGRoaan3+yiuv7Nu3z/2zqqqahmN6O9V6sGgb9Q63pIF9M7hFbFECK6HsiUmRDTcgtqBeSvlEaMHMpOGrKxcgNRL96iDKNXS6zn0RIFzWKE+qDAuRufCw6T5SX5aVEYFYTV0sllAUUwbC6LIH2osIQYCYAwPIWqMRXNlgmdC++baKESygGcJt27bt2bOHUrpnz57zzz8fAPbu3QsApml+4QtfOHr0qGVZ3/nOdy644AKUy4X2InDBs/HjMtzY2yLyZhTFGg0zhFMiWzBCLGsUm0YYzRr1m50JT/UkCOgQxGaNIs54aOuJKATXIfaBj+ZDu8YtXQu1WiacLBN64DviKSJ0gUuPakT3YQbUznxRCqsQdgLYX13uO+FCZkvIoobZfaLWpH1hBfXFADfqQJVuqeAXVKAZwquuuurQoUO33nrrkSNHdu7cCQB33XUXAJx55pk7d+685557PvWpT9Xr9WuvvRblcoYNQd0p5pfbPkGv9WZwCHEVPhkn5SCbLugR8pSf84M9cGy6bCSNMOgiTOiwpk1ICFlkNcjf8wJx4LoVuc6DtbDH9MUW7YzvdAM2Vxa9oD6qjjC4zg/VYFOl7RNc/qRhU/bAsR5yLUJgBcJ6tT8/DecNt32Sx5bUYQD33BPlEZIAAXh/FU6t4A8SLUdYLpc//vGPez+59957AYAQsmPHjh07dmBdyIVu06iTsrvXewOhQXuwtDPihA2lhkYjFDdCOxJPGv7qHHePDitDWAlMmxZClU8BAKCgwhwaXyHSIwyNlU20zzi6fgJ73aB6hJHr3B24N1Hi01cDgLyCqVAVLy2L2n2CPxJ+pEbXl/weoWl3UJnORmwKAGu6GdX0wYE/P0Ov39r29qFLCTKA26He5t6UDlTpGzek2COUDIYvEpQamdT9EULcGEKswApuWz5+exA0hLjH9ngXATdHGFFAGVSW8SUUZSrqAaraeGgzQhfBkllvc9qlO5EX+cDOhUeJbof0nwrmj5GbI8a84GjSUaE9mFyUAtO9b94fGsWNfLB1QnBjSwz4buFAlZ6a5tCoZDC60wXFCKbMgD2QSJaRQyIIjYpM6nS85HtVMG+GvUHgypqEKo1BtKRO251IrCsH1IEzem4Ejz7HdFgX5hhhIX6d44ZGo8497aN2KAQTl3nUXu1sTV1E6SiGR+grLdctKGv+geOuc7ZOCC74H99xHcaLmSFcAoPAVgkcnaYMOuoPjeKSZWghmkSgEkCUPWKIuQS1nqfM5fb0LnDjV3FkGcxrRT3fcoAsE+SMoAths38MkVDH6LlRVv20kYlAaBTXMWJnRrGlZcP7EYayJzZX/N/EvRn2wOWQZXwHvl/N0nOH/KNGPvcwj7kgt6urC4dGtsPsEr1qCPVO6FWT+nKPVhfoZBlpK6ajtnzennwucDsxxYZGER9y1DMsB3qWThht+mrygXgwZ69z3e8RBsgyuI4Rc7pVAoiEpCiTEJzXx47Sd6wPMQkS2XBoUZaaRSth5h8ASu2u8M9P0G0jIaPGpAgx/WDAE3S1ootGACDnmcpDNbopcOhBQa8aQqZH6D8pT5ltwtMg4MDINoSIU6d3onI534CB9qpTmaFR3Mxc1DOsBCLhwZQwOmLIMnhq41FloxBWSBAky2CnhFlNGAB7nUe5wj5r+9gRetmGgEnAzoWzq2Ww5Kf5yyd+OUNfHzCEuP3GGa0ncBFFGXXhHfiBKpyKJpPQht41hCFtu10EPcKpMM6ItBwhLqLqykMR5MX2btIoCkFu1IThDwDgInarQaRHMXOE/hTA0brfFcYlsMhc51Y0jdC3pH85Q88LmAT0AkqGuDxilSqDLFPWiO6Z7uenQwwhLqRNNzvK5W1JeKBKT0dS8PGhVw0ho9A4WFg2oQerCDDTV+zICS4YLCEfjyu0OgSbRhjXfUI8RSV47jmut8nKoKMRt0Egmp8o8iQE1vmUAQD+kzV2OZ28dc6A9719cZaePRTCbcRde7GhUaxzTy2iLR8sdllZ/t9ps63RmAjETjfWBso+Z3hbEu7PDKEPDGWZSqCibsoIIU/ipsoYyjK4YIRGfb7RrAlDgVcFPUcoJzTajM4iBB2jiUBKGFDTtLEp4YJKMD1CxnR7DOH/2ut8+Ez/M8KNTseyJxDBmC9vkfX3j9AdgQQhoK/zuPooNLJMdO2jN0d4tA7rRErKuYjd1rAqKNiP17vO91fhtCw06gXjtBJs3RmMQSOnyqSGRiNPT26L2hamDDoWcIzQBy6HRsgw/8Ec4S+mQ2iEiMfI2OkuqIClPsWIfHjXOQXYvd/5nTP8k4GeKpO2zhnzVdSWc3I/OEp3BBKEgB0TthwWWbGIx46uRwjLQTtr9PkZet5wtyv6pTlaZbaOiJ1uLLosu07DawgPBlTlsNDDhpBRXxXavNsL7FSZpKwyABgxhWXLL2Swmh6wSxrYLCHEzYgx6lw7U+7RI3SuARevC5kOtEiOw6qWAdwTAJ9H+IOj9I1jpD8QVcOvl01BYVlLQsGh8B9z9KzBkLnALS2PFxJCk1iLjoR7PMLnp0Moo53iz591np5iPaLYAEARaeDsC3kHzsihUuClTgAAIABJREFUdoleNYSs0Gh7wc3hGg0OUqbwBAQ2624QExpdGvikAZ9+2g5h06GeAChl7RGIm5Fuh1eV+VBtwid/Yv/Pi0NWNWK2LN4jxNQajRy4d7r//tfO/352+KhleoQEibVoM8vFWrSR58OYky5wc4TsMSGShJkSa8spgF9gMGVMB15bYI0stnyioBIjIOu4kjthrqtWmRCDUts9hP2wYBg2LUWoXJY1UrccAGg48N+ed+4/4Hz2Qv9jxm9PwzxRuK8lo1aGH4yam1bdyK9n6e/+wP7sheo7N4aERqVprOA6Rjw0jf/ylP0n5ykbyhGxMiSlDHb1JKB3n2BJrDkAMGXA/iq9cDzCMcIj1JsOS1oWllZX94SaOBrh4gngsSPhcVHAPvBJk5ZlskaXy0Z/PUvPDvODO4Jh0UM11o/Elk+geYTM/XNJW44cXBAVF4Ue9giZjlGtCf/6Gr3om5ZCYM9va5cH7AF6FUFoa6QW5GhduhvE94/QDz1m/7+XhlhBwB44G5ih0Wh70ML3j9BDNXpDgDDiAvEEEOsYIfphPBJrX3nZ+fDW8FHLrJYBvHXOPvu3Bv79I/SyMKYMdDLdT07Q7x2KOSvEeIR4082WWHMDwpYDDo2cCIVb1sB04FCNGRrlmG4UVzjGI1zSlts/L4opAz3sEUZvEBUNvrjXOabDt96lhjoHIKKOMM4jlGIIyd/vdQ7X6Hev1NZGFNLJ9AgRo5GxbfkWmnDLT+xvvSvyfVoqmEE4UcazRlHLJ2IN4Vdfdh59d/iX0EW32escyyREtdxy4daN2BReq/k707aQV0K6NYXil9P0F9P0yk2sGWUvGkRFPQZZpkXRfGmenhntDuZVaPCVGps2vMY0hLHlE0UNZ+Bs17NVJiSuiBB61xAyPMJNFfj2Fdrb1jLpDKh1hBw0QjdCJZZQU8mB7cBDV2qM1yCvwCxeayQ2EBU+2aFRTYFP/MT+k/OUjdHyS/wFM6Eizl6YTrw9wOLus7pPqFC34Ylj9PUjZDAf/p2cREU9WG670e06Z4walk4Az0zR7aPR9kCBWb4TgGHD/mrXHiFeQX1s6yg2U8bNT/PoSZg2HKvHfCFmneN5hGzW6AkDAGB/lV69RVQIs1dDowzW6IYyYVtBQG9YGkeWkRMave40svs3VfZhUKZHiAhGqgwAyhociQ6KuuDfrV6YjdkWec49WG2YYskyf/9r52NnRQ6c3yLVLXjiWLcDx4rEMhRWYYk2Eqqstnwn3GcR04H9VdYXYoWeEZnYuhWTZIE4TRn+nc2hMUFUnvIJHI+QeaFWTPhAFU4XFhrtVUPIyZ6IAq5lMqyYrLKc0OiWPkb7sEXIkT1DhxFtDwBgQ5nce3HMauCvsH7yeKw9YAlhgESyzOEa/fUcfWvcsY8Hx3T6h3tibjr+wIc08NgcoW7DY0edKKYMdELcNW04UKWMcwtPJByxlU3sXP5iGraNRP5tRzLrQd12L2JDo1hKAnGs0UWS8KEaZYR8ukSvGkKG1igP0BvzxqwYJD695QCTtRcPfm25A3HxIobaCzrYHuH/fSErKOqC3yN8ciItjhHEkWWemaK/GyiiXxlMG16ao2yhEB4lARxDyA4AqDDbgCkDohgAAJDn9tIMmyoEDtcjvyxt1MBX6vpaLUQvogV+hhoF2FghDL4Mh0eI4wo3mLmGVi5cXA8m6F1D2FEThiBU7oKno8wwuov4YDrSq8JDnmSDPzT62NFu7QEi2CEjns4s/B7h01OUzfHhcYyw4s/N6E54BRX6cvB7zIAwP0wbzLhsmcHsuwl4LCE9mjMCAGUNfnCUvimsXKQF/jZMpg2vGyD756O/EHfMzeH1amevY02BaRMGIsRIXfDHhAnA5gocit7fYssn5HiELlkmqBeNi141hLEVC1j42Qk6acTfjBwV5i7NP3TirPz8BJ02WV+IDRkhgu0R8oDfI5xrwIvMNKFhyUsJsw8jv7dVGUFSXnZ3NHZ+NL5MSEpotKTBQ4dYcVHo5Cxi2nDuMGGcAGTqRrFRUuGpyZhS+o6CT5sqhFFTH1tQj5YjjNMa1W04UKWnDwichV41hGxNE0ToNv3h0ZiVFcszxKIRGnwCKzF3wvee6HZMkFCqsFwnzadCwe8RGjZ9NlZ6SkoAAOJchD/+DbT317Rhc4W8MBPznXi6LMaBrx5XUD9rwjvWs26Ff7pNG84ZYhnC2KIRaShr8JOJGEPYEQ1wUwUO1SL/lkdiDckjZJZPqFC3YL8wlVEX6ZjhFMO04fE4Nl0s+DMWbHRJEYJO9mjThj3HWa9UbMgI8DqFYgycdwpMG5490VWhMaKSAPuOzx5C2xpMB94wRtiucMNh9acFPP4ko/kUAJQ18voRwg6U8ZMADBvOHYJ9jNCoxMgHGyWN/GTSYauMdtR2Y3NsjlDKgY99IbcfoVDKKGSGMBamDY/HZctigUWW6T5H2NFJmc2f5JFgxipT0bvjRkEnSaN1JfKzOEMYX06HV6XaPXhuxbTp64fhP+ZZ340NwyAqy7CrZdhxUeiINerAWUPkICs0KqkLY2xgqazCTydj+k5wHsJcxcdNFVZNfWzuA88jjM0R0swjTBimA7+coSeY2bJYoClucJQZxd8Jd+7k10waIc9JGWtnZItP8oBzCihAfw5qFqvEKjYmjFhQ3/2rz6nvY9rQnyNNpysPHi9HGEOWiVJWa4H/BGbaMJhnvRTSPMLYC5U1GMiF9BjxgpMs415rXZkwauqlaeqa0Yww8OYIM0OYIEwbtvSRJ4515ddgxcpQPELukBF94xj5+fTKD4yAV6aC4wrznJRtyKtw1iB5aW7lA8eSGokNRfKAMwbg7oxb+sgrzI4EbGANnF1Q36fB25kJQuhwnRcU0p+DqOZ80toRx66rkgaxTSc4ZdZdI6cyhUk5PEKC0neTfQJwF/C0CcNIvLBQ9KQhlBl1Mmx410bSZXQUy0XonjXK347AtGHHemVPdHSUzyPE6X6A4wrz2AMHCgpsHyMMvkwsWQZRYKVL8w/chzB31zt3CF6cXfm18LRGWQGA0wfIUISkXAt57oXnLuPT+yP5MjxkGUIQNqXYdVXWWKX0LjjPPcZSVINRUy9NOKIRt5NIKFnuSUMY++B4wNkj0LThHetJbJE1G3iOUbesUf492nRgxwayJ3rgPGQZzJ2xS4+Q0xDaUNRg+yhh8GViTwBYhWVs8iQnCirh9AiLKpwzRGIV5ljXQjoBsG0PzwvAf/R0B37GANkXkR/lYUejrHPTpkXm2+2yhNg/whn5aIU9GTX1PEoCODnCOJ97wqCn9IklqPekIYztRcADziyCadPhAikoMBORJrQc0OKeIhZZpnsXgZ/g3rDh/BHy4kxX9VX8FBU22BXWPODeIGhBIW8YZfFlYqWnsNA9RQgW13m8bXM9wnOGWDPOd60V/2vPzXR9AuiooD6vwmn9kYqjPNONss5jL1RSIbYxfY7vTlrXYtTUx3efQIqEx14or5AzRFJGoVcNYddkeuA+vbobxCXryL9H1BLwpBCwPEKZBfUAoBDYUIlsWsYTMkL0CLuvG+HcIAoqDBdg2owMdkljT7BTZZzgnHHXvz97iOyNTo7GStlieoRdBwA4LZPbLOP0fhKlKciVAlDB4Ov6xEAsDXukAFvjiso7IssAs6Y+NiCJVz4Rc6QuayCUMgo9agi7FBp1we0RQkGFS9crUWlCnioCxFRZlyflTgv73romMk3IQytHcxEQCuq5xIhbg9rKipVJ8whRQqPcrrBKyhrUrPATQIMjT4NVN8ITdWdDJZ1Fp5mh0fibKWL0G4m1uBeOk9htj1Plzlg2hKyaejYwyyfikqOZIQwBSmyqoBLD4tgZHSgo8Na1hGEP5KQQAGkL7mhBvXVtZJrQjSmxgSXM32B2LOMBJ6GxNag3jJLnIqKjpk3zUiR1ZEY+WpvRxjIcCYsBcB34kHbG2HYuPOD89+7XxosQpaTItc6xPELmhc7h0E/gTI62dK7ZNfUx18J6u+PY0WVNYG96Fz1pCLvnEAJ33s5dnRUNVAXmwlramjbliZxgaY127yJ0hDeNk6eiDSEPWQaFLtu9l8FrD5Z8EQZxNJbdh4XuKULQYeQDAM4dJqHEUc4IIVZhmRyf24uoWgIuUhhGfVRskoVdbu+CM1tpLMnGsmvq2ShqXL5ELBp2TLDhqztUoUWE0KOGsPuqMuDn0y+9/xevJT8Kcwq5coRouZMYQjM6+nLgwGIbFB94Bo51AkCpK+e1BwoAwPbRaEMoL0fYLUkYOskRLhrCCOIoF3kST0FJmrxna6ibI7JlPK4wivw0yqj5OYBuIxF2TT0bWM1GIO4F31whsYTELtGThhCHNdohverS9crjYerbPHFatDpCjMKyTo9wF46Rn06G/COe97ajNqEMdP8T3PVViyflNSU4rkd+J9YQopS6dp8SBn6W0FIY9uyhcMVRznWOcuDjYWLHgnMKWlvw6RHEUSOuqgGQcuGx5RM84HzjWutcJbDiG8fqPpEGNcLeNIQYuRP+o5PrhF0ckS3j8Q/QqghkhUa947wocuBcGwRWH4YuwR0AWG65t6WfvBrmIlCOBqEopYQoufAcp7KM4w2NrjDygRUAQAFvjnDpe6dF1NTzseEQsmUyPULvtdz2DiuAhlQvm4YeVz1pCFEihB2QCFQAgL4c2E6IDhMniQBNa1QKWcYrWfDWNSRUfZtzg0hLaLSTlLCLN4zGtKFgX677gWORwniYnK3ZHMjBbFjJrMwcIcrOyCc1vpydOmOA7A8jjvIMvKihFNRjnO87LKgHgE0VcjiQJqR8KcmTBj1pCFFIBB1obi1d6+J1IdxRriqC1GiNcsI76lP7yasLNLhDcO6M3ceEbQpq1+t0BdO9fZQ8F5Ym5NlhUQaOYgi5UwDL/v2aUgiFkrNMCKV8QlqszEuEiQ6NckkJdj9wlNxzR9KyLjaF1dSnp/mUHPSkITQx2tNznpS9jKZL1ys/CKQJTQ5lZKz6KgNj4DzBE99rcOYgebnqPx+yNeNdoMTKcKoI+Cq9vAN/4xh5htmhl4GiSrqPlaFsRpwnAG+ByrnD5IWAvkzPeYRsRWkX3kGd2k8OhkXCG3wx4d6abu+BL7Sm3ui6YKm3gJlxqtVqX/rSl/bt27d169Ybb7yxUqmwP18x6hbEqu7GgvOkTD2v5cVryR0/D6wYKz5Oi0eWwVASUOLL8rypMgB461ry40ly1mDbdwyOIhYUuiyKH8xPlulbGtTGCllxrfGSsFlXk6XbtNS1L9wpKQwAzhkiL87SS9tbHfGSZVKTI3T7T6nMezY86zxKfJiXDYcRCcfxCDvhRgHApgq8NOf/AmecNg08FxRgGv2HHnpodHT0zjvvHBkZefjhh2M/XzFwQkZ8RyfvZjCYh6YDtfbEMm/5RGrIMjw34zucvnUNeeqEf6lwim53v0HoGClhzinwvf8bKnA0EDXiEn3GOAGgJI14lWU8y/jcMOIor7RsOrhRwHcI88WWhvIwG6gV5lUS6L6gHqN6kpcD6CzPZmhNPQqFlQcoDOHugXkLzz333I4dO3K53I4dO5599tnYz1eM7gW3gJvH4VsgQYkZnveEUwAwFii8sqIWH6f1HU7fMEZ+Nu1/K3jUXlBiwkiRcN7ciTfQHaovw5kjxCksk6UsYzvLVNhzh0NKCXkOfJ0K+IUCpQsj8J0AzPY1fHp/iNAazwkARX6a50Kx6JQDCBE19Zyh0e5NpbR2j2xghkZnZ2dHRkYAYGRkZG5uLvZzL+bn52+55Zbg59u2bbvmmmsWFhZUVVWUxZlRba1gOdVqV0uPNtV5E6rVmFXj2Plqdbmg7E2DyiOvKG8ZWD7+zdXUnBL/O3b776wMjWZer3X7I4qTn5lv9jPt00xVURy1Wl32hgqgvnaitn5weeALZr6pNyIk+xdhG0pVV6rVrk7LU3NEdTTvzawMTSt+Cqq6Rsu0NZvnlJUnDyuXDC3fv+UAofG/ozi5mQW7mutqiVaNnGParXVu27b7InT0I3aDawosz/rMA0zU/GOcq6nQJLG/0/06X7CIRnPdvyyKkz8xpxcj2u26mKkqqmedbypov5pwXldom7V6I9/UjWpz8X1ZWFgoFPwtYh1TmTe6XedVXbONbre1hknqjfiXZd5zrQqFw1X/rE3Pc710hOZn5vRuXLqZBlEcraPpXlhYaDab+TxveqxcLse+NchVaWSpKoe20wyjPm8hn8/v2LEj+Pn69evz+Xwul8vn8y1DeMvroXtftlIgJwzIxx0+iaJ4n/ilG+Dul0jec1iyCRkqxP+O0v47KwPKjxQ14qg59s84KinnwHutN49bP18obRnPtT5pUtJfKuTzLINaKRILIN9d2t1WoJIjcp6eRUjFM5sXroWvH1K899+0oKjG30wpRxxFYT+cWDQo6SuQ1qVs23ZfhI5+pJwnNomfArX94QwVSB3y3ky8TUg5H/873S9Rh5JS+9pbGUo5BbSYn7GVtmttHYSDC6pv1hqU9BVzrXHn8/ngj1YK0DRIl+vcAtJX9F+9U1QALBq/Pi0gfQWl9S1K/LPmqFDieOmKGnHUfD7H/hYL1O54ut23gP+ftAwHA5iGcHBwcHp6eu3atTMzM0NDQ7Gfe1EsFnfu3Bn1y4VCoVAo8IyHH+W8M9GAQlyoUSGW9wC4rgAWWJaqVZaenK04lUL875D231kZUH6klLOpqhQKrKiGo9Byzil4YhbvWO88dly57uzlqzfBGihpBeYK6itQm7T9zgrgqLSS7/ZHgO/pWWD3FZYfzusK8Eqt7V/VAEo5q8AeNkApZztKzEOORRPsgdLyj9i23Wg0Ol0AfUVqA8fTa384vzFi79eVizwCjzaRtM4di5Y0hOkuajaoGnsKqNq2zs8apT+c9F/aola/JxOTz+eDA+wrUnu+23tugt1X7HbN9KvQhPj12QS737O0KjnLUQvefJOj0DLHS1fOWZDTuprwJi3lOnt0rjno/qjkBaZp2bZt2549eyile/bsOf/88wFg7969oZ+nAStmcr6tXXRUWptWLHDmTnwr8+Jx54njxP8dKUoCMp+wb+AEYKwIE3rkF6KAQyPEEJfnZAn5dt+gvoy0XA5KShj4Bu6rRzo9QlwmFihiYzh1hB32I3SxKcCX4WTucPbwibmTk4wsc9VVVx06dOjWW289cuSI697dddddoZ+nAXklvrAsNG+/Y4PygyPLbxhKilsm+Nh0/kGVNBgtUG9SnYfuhSKxpluSCGwQxk+5arPyjYNt081DYcWpsHYwFJT4dkbfvZ475C8llNaFEevcwzNwX5nQSAGmw1R1eK6F0n2i+4GrfHwl32wGa+r3HKdnxjUBBoyWhCmp3McMjZbL5Y9//OPeT+69997Qz9MAnvcklKX59nXks55qQmkbBCBV7fA4K6Gb0Ts3wPdeox87u4OtGaUdAYqQECeCs/k7Zygf/L71f5yzuA44mZwoKswoGuuchWW+ST1niHzu+bblZti00L3ADwewDCHPFARnUyPxndmDSFXkg2eX8KlULtXUL34y14BvHHR+cnW8dej+BU8JazQFTmlC4DnEhZ5W+nPg0GXRUVOWBANWwQ3PSxu6Ot+13vneoc5sMcoGIfOoERz4mhIUVTiwFDHjbEaIosIsTWrEpn5hyfVlOFRra8DJGcLqvoICy0XgrCP0XWtLX7jSOhtIZaM0j6HvyfMTvoFvbu9T/7nn7T86V+HZ1ooa6N0VUKbEI1y9hpCn+DcqDnbxWvLvxxbfFs5zHOl6g8ASGs1xNGoJXZ1nDcK+edpS3+AZTV4hja4ry3SZJ+UwnaAPbVW+tm/JEPJlsFC0hBqduyZB8HiEoUeNW7Yptz2zPAbOdd69K4zmEUYoxbCvdfqAX3FUZtmoRI/QFxpdzhGeMOHbr9IPn8m18hA8wpMvR9hb4HKMIk4rOzYojy2JjnKeaHheSzawejDxKAlEVe6/ZQ358VJLJi6BFZQNAoMzAnytkUJd4WtPVR446JlujpcGJTmKkhddgbSsi9/bqrw4S1t6Arwsoa59I7zQaHyaNjioIF+Gd50jFNTjDJznhn3hX29N/d/8wr759QrnCeykyRGuXkPIpTQWEb/2eoScMe7uZXmx2tPzGKdGxOq8cjN56FAHbzzKBoHInoidgtBAd0WD1w0uNqznfG9RpEZQwCPuE7WG//tF6h8/absuPafgC8bOiMM+43FWgoHu0/vJt1917j/g/Nth+vQU/Y85SjjupXvyJCQqNtbqUz+hw78dph86g/c+ilrX0+3gBIS7xOo1hHyksvANoi8HmrIoS8jpInTPpzcwmjBw3knUznjZBuXRIx288Hii27J2xogZ/92tylf3OcB97kEZOApWRhJ2ce4QuXgt+fu9DnDL+3UvqoeiIwh8Tnkw0P3GMXLVKcr+efi3I84Xf+185hnnknVc5Mnuzz0JCli3OnXc+Qv7/3y9wv+2dc+OTolHKKXfeSrBW2YUMUmXrCNPHHPec4pi8KnT5hczcyvf0LHIkzzJUcOixTCK4EAOiipM6DBW5OrbqRCIkBLqAFiuME+Q0InoPv+ujeS/Pk1tCobF5a+g1BGiYGWpshY+8wb1km9b12xROAN3qcoRcpx7aKFdpmO4ALvO7tgOo5BlsNwinhcu+J2yBvur9PGj9M43dVLbjhEaTUMd9mr2CLlSCFHUqR3rlceOUODTngac0ChOqmzFrFEXV2xSHj7s+MSphQIvNLry06umwMVryfePUF7WKFIHyu7BmQuPWsNlDW57g/Kpn9qmDTwnAJSkEdY6X3EAYAXXSkkAAPiIu8GJ3FQhf/gj+9bzlY7ilN0rCWBprHeJ1WwIVx4aBbcNxQQF/hxh1/QqlP60wF83ErE0rthEvneI1x6gQEciy3QZrrx+q/LVlx1pnBEsKxrVZs8L9qn86i3KtAlPTzlyYsJooVGOO0Hp7wFIbTewwOMKB292UwWO6XDtaZ09+qhzz5TB+wsZazRh8NmDyKBcWYOiCifMDjzC7jcIrNDoiumyAHDBKPnFNMWyyjzAGniX4co3rSHPz9AZk7egvtuTssTcSax1/3/eosw1eElhXQ4cK1bGWTeShgQVLngGHuoR/vn2jlkrUdP95ATvm5aSKVi9hjDHU0fI9PYuXUd+eJR3vrvfGfFYo/G1fYzVSQC2j5I9xx1pwnKISaNupoAAvOcUcv8Bh0uDsetWzFIVVuOiGqf2k/96gcqpJND1wHEU9bhCPhiqZljAciljB+5QCFJh372ZvGdLx+YgyiN8ZopyVotlyjIJg1d/IfoJ7digPHaUd/XihEZlRQjZIaMrNpEHX6HSli+m+GR3U/C7Zyg/meAaePcF9TINIU808pZtCg+5HyXygcQa5WtAnY4t0AmI+6wY+biTbugx93WDPHUifkRN96QBLwdaHEfcTCq0mtOxCtIKtj3wVpfHAsMjlBchZJ+U37lR+d4hrowRCrBEt7tPX505SN60hnBWy6TEMeKByXEtTh3B7llCqzM0ingnsbRwRD+4qBIjbLrnGuDrXhJ5M7IkKtlIwS2kGOzVWVShP7csOsoGgkcoMULIPqaNFeH0AS57AACEdBvzkXYCsCnEykr/7hkKZ/lESgRWeIBIWECol8VjcvKUT6CkG6J/n/ubeOyz2MIwRD84igw/16AvzHD9QkrOIpkhZCF2M7p0vcK5y/MEatjQLSSJNb62G+yBX7GRcMZpeViLbOCdAAh74Dy25387Q+nj6Med5xB0ZQOl9QQnsGwPIEmsoaxzHhIAVkkSRGT4nj1BZxthfxEAYjldXo1543gCAJyIOm3MmNweYTrStJkhZKERl8i9bD3h3EEQ2HRIK4YnahdLhb1ys8J5qEQoJEBKnxRUYJ9FeKI040V40zifR9i9GHFqWKP8QGGNovgrPLQdxLicFqZkO23CE8e41gFiqiw25IMYACiq4d0ndJs/R5iFRlOP2NX5pjVkOM/1UxhkGSSBFZ7QaNwJ4E3jZH2Z62bSU2scGzLitAc8esTp0Z4Gjuh0qgwhZmg0VlMXj7IYandnTPo4H58O0ymPiwnjXit0ugmATblqK2WWCTGQGUIWYoPpeQUu28DXrwSFLCNLccN2wpXGWlAJ7NzMaQhTpLESQyLAyxilKkcY7yLghadwWEJIB774unKKJmwWOuOzDeA0hFLJMnhLiyEkdGo/OVCNH3tWPpE8YnsE8qzOKzdxvUo80qZsYNWw57vWyXVx5qCkgWMh3iPEeye7lxrBsgfAcfTBJMuEGV0KwN/tFktiDaUTFj+KKglebsaEn0/TeQ4+HeJZJPYEgGh0Q9XG3VKQc4fgxdn4X8iUZZIH1wYRt2L+E0fGCJAKy9DIkxI3CMmXYyD2TtJTVQaoPA4OFwEtQVUIswcLTbj7Bd7TEJ7EGkJTaH6EZqBnG/SNY+RHx+Jvw7DwPMK4EwBqaDSk/9RcAwbzcM4Q4eHLZHWEyYMnqxx7TOOcxO4dI8S6cpkumuTLMYCVI5QDRKscy1jGThr5rzVt0v+116mHsSqCaCDpucs/8IXlCOHqLcrjHHwZ1PKJuIJ6zDrCkFHPNehgnpwzRF7gMoSpeOlWtSGM9wgRc+lqDHc/Flgd6nlo5YjosozdcuJr+zjBkSNMBZPbBWKOMJaohZugCrUHNQu++jLvgQjFQeA5eiI6jAUlJFs224CrTllu4s0A4trjyYWjBQDC3u65Jgzm4KxBspfHEDoZazRpxGbLcAuNu21YisQalRyG6PJgjhUQBg7HSMLh9H++6HCG6wwkRT3giJUhk2UC15o24XfOUL64V2pkIM+x8BDfhdCBz5h0Sx9xKCzEpQlxyydiWaNY0x1aNDJrwlABShoYdvxRAysA0CVWtSHk4BmjFvdwdIXdF118g1VXLhldhkalOkbiCWyfe9656UdcB6Ie9QgjDCGBg02kAAAgAElEQVR93SD5jWHCQ6HE8tJ4OhIjInTgC03oyy23bGMA0ymXyI0KxVyDDuQIAGyswOFa/HwmnyFc7YaQp/JUSryi2oS7X3Au+Bfr1p9GLmGs8olY8CiN8SM0NHqoRg9UKU8HV0TyZLxjJD5vP5iH/hz8yZPxI8csn+ApLMOMfPg/nDFhpAAf/w3lf3BQZqRti7gtYUNb1FIAAnDp+vg2NYhp2thkBOK1QjHXhKE8AMC5Q4SHOJoGrGpDyLEzop6Uw96FffP05h/bb/+21bDh67+p1gMUrBY4Gx92D9wDY2jXp7/6mfPRH9q/+a/W9n+x3viAdeX3rH87HD5wrJ4bwOEY4bJGg2XsNgWVwN+8WSUAt/wkxhZingBkHvjCIh/TJgzn4Q2j5IRB+esouke8jADmOo+MfFy8VnkiLk0ouXxCaGxp1oTBPADAOUPkhZlU1BDHYlUbQh6yjNCi5kcO0w9+3750PXnmvdonXq9sKJMaH7NOKHBTZaEuwpQBX3y7+qP3aM9eoz3zXu2aU5VfRbwwqDlCBJJwB5cLkJKmTRgpAAD894vUugWf/inrbjBDo/GxMtSaxaBH2KAjBQIA//kc5QsvxvhGiBsne0i4jlFQOMI99wDAcAFMJ1yKrAVpwSfca4VirgFDBQCAc4e5KijSgFVtCGPrq2IFVjq7VmAHOFilf3CW8t4tiqulWdZYb4u0BWXYgCjJHzrwKYOOF5cvMVaAesREYHFlQa70FIQN/IRBR4sEAAjAPW9Tp03482dlRMJj1zmq0SVmIABwwoDRIgDAtacq//oaZdRR2BR4uh5yIs4jxGw9EcyzzDYWI4TgtmybjKlgwZqCHBdZRmAEerZBh/IEAM7mKyVMA1a1IYzqISLoWkF35IQJY8Xl/1UIMHgU0nInpk0RcyehA682od/Tw6GSI1ExYcT4VWyEEFf2MDjwlkcIAATg829THzvqRGkTo+btYuiyiNmy8BzhkknQFLjuNGX3/sh9WqbOCHrkw7eZuOV07p8vXUd+cIRlnVAJ6rGNeTG7agevNN+EgRwAwAB3l7rEsaoNYWwwHbPMSA3pyzPZ7hhJA1uFGbcxSqj58V29rEGUlyDZI8QceGA/mjLomGe6FQKvGyRROwWiRxjrIiB2AAgloE0vucIAsOsc5e9+zfKDpVGjsUOj/ofsPfdcuj4mTYhI1IotFMZ9yLlABcWMCcNLAx8rwqSBdi1xWNWGMPbohIjQ8olJvc0jlAZ2rAydRBDchX1vfEWDWoQ9wOq5ARw9AnHLJ4Im4YQJo4W2TxgnAANJWhYwmuXyI5ShOu8JAIwX4XWDkTXmBl6rvFjgpoSDrvCsxx6MFKDaZMWferdMKMgS8rrC7DSh5WBGwrtBOu4iIcTGynDrbYO2Z8r0e4RRV3SQevK5YLvCiCqXEPaQXSlCL1j2AJUzEiexhlk+wQ6NuqhoEEWPkskaRVznBIAG9j3afok/ia6jwHVW2ONCP/f47NzMUqrMxZvXkKei04Qy6wgRz1gQ1oBirrEYGoU44mhKWk/AKjeEoaU/XqCGRsNp5b6dMeqiovMZXuDWaQRV+U+YixzCFhj2AFN6SmLDUgh7yNMhAye1ZnSOMDU9AruEzyBtHyNRmVHcKWDHhHGvFdxMfAe+S9ez9AQQlcZipxtX1Syou+1lPJ3L5MukpCsvrHJDGHt0QoRKQrSIgpGBogZGRMdnrCoCiEhYtoCdKgNf/HlSh/H2gHBZiyTLIOrp8NSVI5dPtF9uyvBHwtmuMFrdiMRceBDNsG03at9BjkYwCwlwrxVkJPmOuZeuU34Yrb6NqKgXmyPEjQmH6m63wA6NpkRxG1a7IWS6CK0yIJmoaOGFBLqFmTth74wSUmU+e8DwCHULjTOiErAldp8IBsODOULGwJt46ROZOcIgpj2pshaitkbcswg7W2batICXbwjLEdIhTwBgTQmmzcj7kVlQj5uIZQdaRgswFU2WSUkPJljlhpC9QaDrL/gmPPSdj/KNEP0DiAue4K7OoB82ZdDR9ghhUYsM1cqkEeIrCUTUEbZQyUUaQsTtQWaOMIhgQBiiO5vjhivZMQDR0z3bgOH2XPiFY+TpiDQhrr6/TK1R38sb3DYH8jDXCP+3DbzmU10iHXeRENhnGdFuu49M7yKKP4mruM1WAMdVGgs+5GCEMJRhsXQzmFXPMRXWgl3hahP6cm2flKPpsojIMyPhFICgWkLflUI9wv+/vXOLkeM6D/R/qqpv1T2cC+dCDiWNbFGRpXgpOZt4jcTyZmAj2Q31sOLGsB8EQQjgyIZjBBYWlh52CYKAIUgPeiJXIBBbgF8SBXaAOKENySCcNQwuLDii4jUUyQYlU6KHHE7PpWf63nXZh5qurq4651TPzPlPHbLP90Q2h1On+tz++89ShUUHavESKAWnTySmezOSUB/wn4+S/8MOlxVX3z8lOlq42h29CLcSoXCcDr3aNKoE1G7aIdgRTdV23FAGwcnIOiBkaYT4eeVxxYiD1DBC0UVWk6dwIm+ENNjVZYWNhCv3CK9hG3vHpGIEAJUcPUpIuLmS4y3rCt3gSatGNIsg4JHDhFVKUOCmS42ORq02nnzrh9gdenXUqBIk4ziitB1c+/VaG+ZL8Q9Z0RNtca4ySDsgsGNG1hIaIQexPTf4d45Y30lqaVMIXML41WXzJq8hkXDjc6xA0nqbYhrlCXxCU3dS0oRQNcKEKjyRYzYmFFxiTVblSEhER28l9OAHp8g7WiNUGb7vRGyBlSRrDNMo9WQUGzWaEiyDrBGud2A2oQqzEJvzxEewRjj8JTcdsBNHPCdqVCCSXQCxGd/owExC7qkwnKNizfJ8WUSwCyDxrJ4HueHfzzEAJH94/yNJC5YRS8zykcwSfnAKWKmEMivq8REmfTUajVdeeeXq1avHjx9/6qmnyuVy+E8vvPDCe++9F/z50UcffeKJJ0Q99ICkBsuInaTYWki6ymAQLBO/IAUHeqUeEJhV+anO0UCNSAqqYp2j6aZRNAlgvRMPEQK2q0ys3y4lZsQTbPkItpXd/+tmx79/Mr6RWL5wuVGjotMn0spUVdgaoUCoXePxiMU9JU2jx8pkpUn/v+pohMIWwmuvvXb48OGnn376u9/97uuvv/74448Hn/u+f/PmzRdffLFQKACAaarx3gAgXVIOivKFMfHVtn/8UPyAYJmMWkIVo7wRbFr68dcRGsqVDMxJxoxAv/NG8nOZplGBUjkAFMyhisNhB4YorKhRCZ2wQtqOaI1weFtt0nyELAmg41Iia/ZNWtSoXzCEzXfyS07urpzBs1HfpsRePGkaBYCSRbeICBfC9o2wdXDlypXl5eVcLre8vPzmm2+Gn9dqNc/zzp07941vfOPb3/52q9US9cSDw7ecoJiMItuAoREyfISig2W4tUYFa598j0WAnBe3DF5/D7HEDO/JJEIAsBmVZbDdtFGEuwBiNgBq+aRyjm4kFGwalSjpxoInqec+h9ujWRGNhEYYN40CwAOT5N0aNTbqjtMIt7a2ZmZmAGBmZqZWq4Wf12q1paWlz3/+8zMzM3//93//6quvfulLX0r+97W1tUceeST5+ec+97nnnntuc3PTcRxDnPgW0Kwb261itUrX229tWl7XqnLSQfeI4ZZXbtWm87sL4rc122i2q9WhI8pr5apdo1rtxP5vtZYnANUqIx9njzjtQtX1qlW6mWarXmztONXq0L3UbDYNwygW91wj3PWh0a1Uq1vBX30A1xn8NcRy7etr24YdP7B3WuXGVrPaFHNQBFNQMum/zaENbN90G9ZmfbB+rlVzeSc+sz0Pam3KQ9c6BnGKsc9d163X646zZ6dio0V2Wna12qD+6+qW6XXz1aowCZU49o1q227vTuXqju032tVha53fzq86UJ2Ir+fNneIiia+9feN2CtUtr1pgrPNGsV3f87M2Njaon/sAzc5gKm+2SQns5Myy1hh1U+wb/koWu857zdx2ZGHf3CosGvGz5Z5c4ecfenf78YlYr+V6Pcpxx2dnZ6dQKOTzifuWwdTUlGWl3HQHughPnz69uroKABcuXAAA0ndr+JGksKWlpWeeeSb486lTp86cOUP9VXNzcz//+c9ZDzIMY2pqSvxFWPSJ5c3O2tR/LbT86ZY3O1sR9bhy0ZmYPjzbjxTd9p0HFu2JYWPgQt1b34LZ2YnY/zVvejNFmJ0V8w1Mr3k5g/nbjLy7MGPMzg4phY1GwzCMUikR5zoCxHBmZ2eDP291YdYe/HUwpLJbmCjNTsc1Ucdwjs0f3pNwzSGYgqTpJsCyKAPbN7Mt/31nsH66a97SYcrMgkF5aH3Hn7TjK9N13UKhMDU1tdeRuC0Ak/lqJdefKnuzs2Xqv+6DCdstTw6msu479x21YxkaCxtew6GsQOM37nxi7e2byYpXLDPXOclR1vkosL7J6PpZ3fSPTHizs/H9wlpjYteeyf1tgtf5ttesDxZ2x3KXZuPf6t3rXselTESu6s2UaJuCSz6fLxaLo1+Eo3CgA+bs2bPhnycnJzc2NhYWFjY3N6N79dq1a47j3HfffQBgmmbqzSyTZMe4KMLL//RNRru/M9acNqCcI02ap1tw1KhJr2gagJrcQ42UAba3DDvGPYpY81QhYRp9aOQrTKZpVGxsFCRenFprtJyDWzRTi4QWYINnYa7zzQ5M0ZydrKAwsXB+vVhHOFDyCCmm0YkcrNO0vo4HFTUuBGFfyYkTJy5fvuz7/uXLlx9++GEAePfddwGg0+m8/PLLN27ccBzn4sWLVPtnVqQHywhdMbEugNRj1zZZrjKRBVb4GdaoGQtVWswIsF/cF9t/SmIHynjUaKK+GgeZ9ROElxKMPY76dbPabgiXAGRu8CjUmBFg5EcJL+7DASH0YShclnoRVnKkTq+foIqPUNhCeOyxx65fv/7cc8+trKycPHkSAF566SUAuP/++0+ePHn+/Plnn3222WyeOnVK1BMPTuoBgRcs4zO+ek6isbSEelRJmZVEyKm6KRD+jIs9i2LhstRgGRZyg2XEp0+krnNZJdbk9d2E4St/s+tP5ynfKjWBUvhRw5H1hO/u4rB5aWu4C2MAK29EbHGfgyBsIdi2/bWvfS36Seg4XF5eXl5eFvUggUg2GUXl0y2G5aSckxE8ya81iiopVxmKESuBUiycGRculcekjQwLy/ETy1AT6re7cIiqGHHyRoSaRlscF4DQcm4xmBvcIvWeD6Wh52LsONZeajsibUuQCIav96Cc8PhM5IZSiUI6rl8wlcioV2IQWSH/gAhPYZarjJVF0HLk9SNE7Y1CTRoBWeWnORqh8JKbCdMoJYuANSThygoH4adwIVLqeqPjTyfKCICshPp0gQ+tvQw1exIYuhGGzM1KWETRCNMSKCsW1PHlnoOgxiiyg29DEOw7iWiEa+14c9oAXmKZ0IalWbXdWGcFy8ipuskuwyi85GZMUu4y2oJTjeFtTGUl8SxEjXCTlkQIPNOo4HKv0mrqxog1IwyhvnhHaAQAcH0fKOs8LVF4Ij82PsI7D/HBMpEVk+zJF8BuzCuv9JTwrRLdAVWGq4zlHBULpzC/eANAWhfAgDKtA6XAfuWpoATL9L9kajY9sBPqBfcj5K5zsU0YYLhwDLXnBjA0QuFrj/Piwp8V1QhZ9tiKxTCNKuMjHPeLkCOGYaRPhCGLLI2wyEhsaLtQEhg1yhXihAdYRw8Ilmm0bJGkRiiwS3sAJ4xQeMxIPlJgxWPHvlK9ZaiySAzhh1F0dW106DEjvGAZsS4AdpCw5wv2SEf7MLDSJ6h1t8WbRtl5I2Jr98BwSZ06rXoisEMftEaoCpwDAjVYhnUfsIbUcn1pYYTCiTpHWaZR2wKKYiQ0ezI2khioLmFWMD0wvGWoVrsYqKrwZpeuEXIEPoGD4VjCMYhm1G0xokbLFk0jFO2F4XQkFm4AKFqDZ9VoIaMAQACoAon2Ed4GoEbTsYJlgBXrJTp9QlpeOQyfjHUHyrQXoaoIwmNGOAcEhqQcvjUniZAaHiX8IkyxfAj1Rw5rhHsroi04bZQbLCPcBxstsrpDC54EWekTHOcohtzTHlz/lCRCDlojVAXeAYEQLDOIGu3QTaPAuIfErhj+ASGcgklSvWWM+0BeEIFwSTlqnuIkETIlAFkHhHBpI+oj3OxQuvJKY8SC7wIfF91WdG8Zy0coWghjm0YFuwCiejA1m56D9hGqAs93giCmjaIRUvGF+jMKJuEcEMLPrbwJgauGlV4NDFeZ2BAh4EoAGMH0Yc1dVswIBHHCFJuwYAnAIHTbFKBUUIqmTzBfXAL8NkzCGSU8iuUjxBPCYggX+KJJaBwXAKEdth3Xz8uKjuYz7hchpy+PeDFtKI+QXmkMAEyC3iqoYALLQojyuP4BwcoyhkFC/RAoPkJmsAxqPR16kDAw8kZQ1dPks1DTJ1imUQnrj19iTThhsIzrM4O8GBqh6EAtbpoQ3jpPduUNoZp8uto0qggcIQ61GDG1EnEAK6deIPKDZYIX5+jBzJgRwT5CeRphFGpX3gA5UaOcdY4dNcoyjUpYhPyi28IJjYS1LkzSHITAzCNEiMvLYp1zTKN0CUCbRhWBEzYiPMs1ahrliMMSUss5b41R/zc88lhJhBBc/9QCK7I0QtQcdr5GKEMC4MbT4/nCdxjx9BBIAMi1hDiKkfAkQohsq01GNj3IqizDt3wglhFgX4QTObKTyKnvuoIztfaNGqPIDpmZpwVjN6up6/GMrlQjoVg7Uo5dgUl4pTGIHBDr7KQRk4CbGJJkHyFeDjtHI2RUlpEaT4+nEQLb5Zz0lgkXwvLGUGOEKBiB+2GwDCubHlgaIfdA2AecY014dHQUVvoEsOtuK+Eh1BdhNOI5Bp7JiB8pQz0ZhS8X1s2KYawIDwhWPR0WCFGjzCgh1JQmTswIvbIMhirMlAAQ0yc4JK8ElFROWVkEEDlMWNn0wGhIJFwIyxnMSgKoAh/HNDrBuAgVYdwvQk7VTeFq+8BCyFaMgFaFAWPTsk4+jGeFMQvVDu/Fk+BE00lSjKLwTKNUHyGCKiwvsawv97DKqwZUEqZRlA6gsrIIIBoUxlWM6D5CtGqOiWeJdwGEO4oTNVphNKBQhHG/CDkJN8J7AoWS8hr3IrTN+FZpSa0zIn6fhM0uWGVlWIgtIwByY6MAgPSTFrY6TElZWgIlyyaMF5jDz51IaoQy60ELj8uFSNQoJ1aWKpFgxOXxTKOiXzzXz6DgRI1WLFKnVZdVhLG/CNlbBaHwxEim0aRGKPw+4IDRACj0zPFV4STifYQcC6FoPw1EDJI+sGuNSvIRygsbCS2EnJBRoKnCYltPAIDBzkTCcgHsaoRMxQgY6XTC4/KkFY6AiJi116hRdRj3i1BmjZWoaZRVVgYASmbcaSS8lyZwfIRIQQS7EgCvS3vRijc2k5pFgCABjJphjV9rlBcnjFB7elcjbMMMxwWQ6DiGsfZkugCKg4uQ3oWRxW3dfQIiDSg4v5zVm1cRxv0ilFmEKWIa9fk+wtjJ2BKdV84BJ4hgd1uud7hRQiZFFRauEcr0nQQzzv9KbQuSpUYw2m5Iy6gL9YNNRuHpAAmmUWALfBjPGrx4h6cRJhGunnI0QpwXJ+00s6fWCJWG4zsRbs8ethDyokYp94FoZYUpKWOajBoO2OwXSfaoa7t+SaitjOM7wYkSIh3PX+/4fFdZ0keIZ5aXQNgenV9xm2YaldqFUbzlYxAsw0yfAForBuEpDbw0IYQNXmSfoiHJcFlHtLR3EJQZSEbkDV7VTbGEMSN802hSUm454jVCVvFJjDSjEStd0SUAaRohjgTQdWGjA5ykkWipRjw48fQYBEVW9xosc7ubRgsmae+mTzAT6gGgnIPW8CIUbpbnFY4Q7XeHfgMK/sU2kYN6bLq5QcWSUWYgGcGpuim8zMjoeYTY9wGww0ZQXGUmdD3w/JTVlqyxguAqY94HKAeECR2Pl00vDZkaYQi/9UTSOSrXNIqQPhEJluE0YUi2JMSoe95jpQmJbkANAEULOi7UeszCckBrUq9ODybQFyHLhtAV3aU9+iz+PklWlsFIn2DFcaC4ygzouLDVTWlNl5QAhEeNyiy5Cf2TkZNEKA2OjxBPT+RkEcCuaTRuCRd+RrPACJ4Mg2U4lYQBoEJxAdzewTKBRsjJnQBaQn1XmUKjoC9Clg0BxUJo7vpO+BmKSadR2xEcVg5sIyGKq8wkHddP7TxFjZ4QmzeS0oQBx2mkiEbIenG8m2cfplHhl5NsX/gIVm6aRohY1jgGhtodSAC1LrOeDgBUErVGhffcOAjjfhGyNEIMC2HYoI7/pSdLrGFEjRYYTiMsV5mXkjsBNFVYcvoEggQQaIR768mHVPec+uI9BMtHSEoeIc0SLnwKWKmEbQcxKIw/e8n4SZnpExh1roPEpy12zw1gvbUy948yA8kIlu8Ew0IIAD5ArQsT7OUCVI0QKdSbqgpjHBAGdFyotn2+YpSUAIS/OCcyBanmVteDjTTTaCyBEiuDRZYBIGSTm1cuJ32ClUiAUj/BgI4LTSfFjEFRhRHKGnOyZcTHJBuk4/p802gxceBoH6FCsFYM3iRV2/5cibcUbYtIqCzDkhkxurSEitFeTaMtxy/dzk6jgklGMY3Giuqh3AcMywdqm1aHq24ms2VQpoC1ztFKrKVm05eteCKB8JYvnEJCGOy+OLuOYEBMM1enGSHoi5BlMkKaJDJCmbFkhrXwmBHgqcIoknJgGp3dY7AMxpXAAi1Yxl9nd2EMKOeGbMJSFSPR3qmAUXJC5JhGWV5hjGcVTdJx07PpqXW3xSK58/YoPsIkWiNUiDC3LwaGhTBgLe0+oJpGhfsIZQbLhMGTKRphoqQOqr4So4PQiDHQw1KjRmNXAkZFPZkuYQAomNByU0xwJSueToejCtP7rGFEagRyT2p0dNJbJr52h9xsmUAj5KdPJNE+QoVgBXrh9XFODZ60El1zhRcjBp7JCOeA8EZRhePBMp4vPpuThY/wrEAC2KvTSHLaKMZhlDdgre3zDWVh7FhkMAgSACdfFidqNFUjpJZZFz0SqfUT+hohz0cIACYZshNojVAhWMZ0PGml2uGVlaEi1TSKoCIE5Xuqaa6ysgVN6UnfqPBjFkJiNmGU2CiGCwBJ5y6YcKMJeyo8DWi9MJnBMjhfMqcZYUBSIxQu7GXlI+SbRmM2YYzU/n0z7hchUyPEOSAIgVut9J58sX9GMY0yNEK0CFV/vePPck9GO+E0UmWX7JeCCW0n/S1iVTdlFxJCuQjJjSavwmpATGeRGSWEscEDzyi/jAAEJXWQO/OxdjdGZg6EGmGaaXRiuNwohjNi3ygzkIzgpU8gSCt5A1aa6T35YrsEo7JM3mT5TrASjVsjWAiT5advawoGVDv+oTTHiT3ckEhmtgySwFcw4GZrb9mTgPbirIoZGBKAn9aMEKT0YZAZAQBBdLTn17q8CquQaFKvTaMKwbIh4JmMrjf8vZpGMdInZEaNBqG5qTJwMo8QQ2xmZVhjPCtvwkoDDqcZACg+QoxsGYnR0QUTbjbTe/LF3OFINQ1kOkcJwGYnNX1iaLqR6if0JL510YS2k54hHau7rS9CheAEy2CsmIIJK830kzHmW0IqGC8tgTJnQNeDVAW7nAiWwTCNclq1CadgkJWmz8+dgIQq3EbqjEi1hDsolo+COZJGmHhxHNOo3EoCe9UIhScRBlAFOyQ9OPARen7KHo/V3e7inLH7Q5mBZAS79jSSyYhsd/3UtRiPp8eJppOZQDlKq9KYq0x4c9qAAsNphHHpBjEjo9wHjWFJGUMjpE430mFUNOFG00+d8ViPOgwzDDtqFCtSY4SLcNhVJjGvvOP6eYS3DjvU84m/uAt5rREqgkxXGQDkTRil06w97E5H8REygwhQDohaNz1EKGa+w5NekxohUo/Qggk3Wn66aRQ/WIYVT4/nArjZAk6h0YCEBCBe4GPmEaJdP1vcZoSQtISjpSwnQYqNSpZPozIR8xFqjVAdZKYZAUDBGCl3IhlPj+EjlJk3Yhkp1VWSYLw19LvGxz7Ec5VV2+kaoYRgGY6FEGmdjxI1mnSOoqRPsCrL4Bx+O70UV1lMf+p4KGWNqeDJPVvd9IUUswnr7hMKwTSNop2MqSGjkPCduCM42PYxEpnFJwsGSdUIEyNBqf5FlQCQrv+CAZ6fLgHEXWU4jRFk1tTNm+RWKyWLABK1hJCS3GVWGw9Csfa0ajEs4cxn4dQJKZpwq51uCZ+IX4Q6WEYZ2EFlOOkTJvBz6QKS8ZPiR8IsPZWlBBAFI0QIGDZhpJawgQtkP1Gjt3NeOQAUTHD9PZtGMXpCMTPqcIoWsVzvHPB00yR46ROrLeCXlYFE+sSd3JjX87zTp09HP2k0GufOnfv6179+/vz5RqMh9nEHJ1nnKQBPRZgrpf9Ysvy0+JEwJOXU0K/9kd+7aRTDMwocjRDHQgiQ/uI2/kVoEKCW3MJb5zkDKmkJlDJSy6VX3bT3qN7JVIzw0idWWykV9YAWLHNn+ggvXbr0wgsvrK6uRj987bXXDh8+/OKLL87MzLz++usCH4cKUqRG3oS5ESyEsaqbKClucuvT503gN58KiCaWpSbg73skyRfHK7ACkNJ8CijdJ+Q1n8IoYwsABRNmCiOU1MEX+GSvcyPdIAyB/N3/M9Lao4IVgGZAy0l/8Yo1lEeIkS+7b0QO5K677pqbmzt//nz0wytXrnz1q1/N5XLLy8vnz59//PHHqf/Xdd0PPvgg+blt29PT067ruq7rU3W3A+P7vuvGhca24+eIl/j4oOSJP5P3XWpGd4Si4de7EP4YdYQHJEeg7VB+LetZwfe/72HkDX8mn/59lkx/p+MGomWzB0VD/Ivnid/qxUfS7EEe4VkWAAGYMFN+cYFAvTt4esvx87S15/bZ32CY6xzEr/Mc8WcKJCxwNBgAAB21SURBVHWoJdPfQV7nFvhtB5I7bt/P4k9BwYCyBam/uWj69Y4b6I7NHhQw1h7xOz03Fgvd7Pk5kj68vUIATAITVspb2EYw3bs/03Z8y3ddd89y2F43gmEYJK1mgciL8IEHHkh+uLW1NTMzAwAzMzO1Wo31f7e2tr785S8nP//0pz/9la98ZWdnxzAMw0BRpD3P3t6uxz7caRV6rd72tmBh8o+mzOm8n/prLTe3Xoft7V2Duk8b4QHptYyddm57uxP7nPptAECz2TQMo9fbZ20oyy/luo3t7RQJoACl1a0GKfoAsFm3wDG2t7v7eyITJ7+5422XhjSRjW2TuFby2zggXZccytnN+jb/x1wfdrql8GvfbhWctrO9Hd/nruvW6/V97wLqzG43807bTT7rgHgdq2Lktrdb/B8zetat9mCKWWvvILgdc7tpJlfRvp+1s7OTzzONgIZXLBl+6kIqkuKNjc5c0QeArbrlI6xzC0rVWsM2h3bcVt0iGHsKoGCU824nPLLodMhmqxiuikan2G11to09qzc7OzvdbpczCzEOHTpkmimK8EEvwtOnTwe20AsXLrB+JryNOSrd4cOHf/CDH7D+1ff9qakppIvQNJ3p6en4pzl3bro0PSnYavSniedQmV33NjswPW0AgONBIUcb4cGYBZ9Y3vS0Hfuc/m0A5PN5wzBKpRE8nDReWfbvO5QeBDplu7lyYfoQAQBz25sqw/R0eX9PZHHIdvO2MT09NJRCxz9UonwbB6TiweHiSHNHjMGP+ZY7N1WKjRAAXNe1LGtqamp/g6HOLMm7s1Pxb+PgzNS8+bKX+uLz296KO5hig7H2DjSSum92vOQqYq3zVFzX5fzHiZI7V4TUhTRdcq1KcXqCAIC17U3a4te5nXfsiamYudJa86Ys8c8CgJLVOzplB0cWC6MMHYisc9Odny5Ol/e89kzTLBaLo1+Eo3DQi/Ds2bP8H5icnNzY2FhYWNjc3Nz3HpZPto5c24TrfY0FL2aEmj6BxO+MJlLY5iBsBM1NG4TLDo0HKWkkZ8DLn97z70V6cfqzcLK5CyZJDRkFgHKONCI1MVGK+0jv1T5K86lo3ghS+gQ1OhqvjEDBJPzmUxDkEQ7XT8Aoc7M/EA/7d999FwBOnDhx+fJl3/cvX7788MMP4z1OLEjx9CMSjZ5AyyuXGk03IuXcIHoC6cWpGXUdFzByFgHgT46N9GujppK2IzWxDEPgm8zD8RFEn2j6BFJxH2rUKEaeRkDBTC8lCMNhI1i9kU3STXhGkVKSAKBoQmrU6Jg25n3ppZcA4LHHHrt+/fpzzz23srJy8uRJvMcdhKTFVmYoV5KSObgPWg5KDGGBtk9cH8xMA5qjeSMY7YiBEUbYdn119iRS1KjMKsx/tEBOfyJ9JUWjRrEMALQ+DEgGgOBxozSfimqEeC9OW+d4GmFKV94kSNn9+0O85Bk6C4M/2Lb9ta99TfhTBBIklsXWR7bSSmyfoNT+oFpOss7sKe8WGyMA0HZhNi0RbR9QU54zz+0N4umD2w/PTpvUurouZGr5GJQawav+RV/nONP93+81Do9QOKJikbqzO+EdN12X2gd0ywfa3VM0U7ryJum6WHr5PlAmjyM7gishfhFmejLGJGXh7emBkVeOJzCOSDS1HC/nKVm1R2Z1DyolC1rObi42norQSVyE2arC0YR6jIrbwHAB4FW5/E/zI/3aIR8hzlFDrSXUcf0Cjs3n4cOEX2qciioeQl1iDRgN6jDKe46ObUGzPySsvHKa5QTPVTYi9pAE4I/SqWOv5FgvnqlMGH1xJA9W3qQYCbN1AWRlGs3cKBd1jmKVEqRphHhxWK98xiyPsIP2UYJODvoihCKjE1OGRNsRIK1dyxhyXAd0snaVlfE1QmrLmMxtwpXcQDdCkkSo9eWztXzEDABYplGq5SPj6R7YhDuen0coe8pQhVGaAI9OrBOTOuiLEA7lYCuRYJrtxTgUM4ITPEkl22MREsEyGDZhlqSc8Yub+MXGaC0Js7V8GGRQ6RfJBZAzKG+duQGgPBw1ipQ+IVMjHJFYuVF10BchzJfgVjv+YbbGa9uCVl+aa7tY7cqosbKZB8tE80aQUtySBoDMg2VivXkxUNYqFYDUr5z61pmv80puYPLBqnsusbj86GiNUF0WSmS1qZaQQmDQKwDJRwhAaUeQeRlc20LPI6QGEbQdlEiN0ZHQb4SqImS+7sMBIGmEktMnRkSCC4CpCmerEQ7X3VYHfRHSNUJ1QDogAOBQPi6dZS4pRxUjmXmEmduEy9ZQi1oMWC0JFQGv3wtVI8zaQhjxEaLlRzFMo1kKfLEm9eqgL0JYKJHVVuaSMRM8Le1IidwcVoUzt5zY1lBYOVKwTEu9IIIwkQBvIVKNhJnHr1sGBIZqpIJb9KjRrIt7DVWWQeuNTM0bwbA/j85Ejuz0fABwvIxrd8RQaSwZMV+EW8NV8jMvsBIFSTECgIUSrA6/uAqKUSRvBKXAylwpPt2gQBBBGD+JF8chuTPfiIRFlKRWWM16ussRHyFS+gQ1TQjPvDQiZWtXI+zi1PbbNyqNJSMo90HWFkKItO5soa3dhRK5OawKt50sK6zCcEdipNPqSOKtQQFbWVhkFe+MpqoImVtCQm8Z3otTgsKyPoUrER9hx0PZdPRgmawl3Yn87kWYufEpRtbnvQLMl8haWy0LIQSBo7sHBFYcxxGbohFmn2iMXHMrR7eVZa8KY98HSY3Q9VHqXO+JMH5SpiySefpEsb+7Qa6PMNtsGQCoWLtxCZlfyTGy3gcKkLQhqDBJoa2sjRY1eiThHM1cFS5F8kY8H3DSRsAAiCVQZD7joXMUL341n8gbyXy6YVgCQJqC5LeZ+YuT4XBZaUFhmTPRLxyBV+Vuf2S9D5REhUkKOzHhqQgLJbiZtAlnXnvaH/wZifmEmzDzGQ+DZfCu5FIiSijz6YZI3W3JGmHmLx6CVHtazbTRMI8wc1kkhkpjyY6J4aDezH3pECk1gldZ5kjCOZp5fpUcjpXJynC4bOYzHlbdRKqnAwCLNlxvDH2iwnSHL44X2Z/0EWY+3VHiTaIFkTdJL5kpnDVRuSfztRdFX4QAAPPFISOhCtKKje80mi+RW0nTqEqrE4lFG1aSeSNZN2LEnu6lCXKtHnvrjMsIQFQVRqtzSzONZm/ywUbNtNGJfpP6zJ0RMbI+79VgYTinXoX7IAwjxFMRqM5RdSRlPI7aZKU59EkPpz366EiIGl2qwLWd4YtQgcMoLKGAqqXFNCMVXrxkQdsFQHMBqOkjrOTITnc3NirzKYiiL0IAgPlSQiPMepIG0RPIYnv0jFBBUiaEUvtNLIs23FCsqF6/IzFy/QT10oTKg3WOdREm44Qz7z4BkYw6JKgldTJnoBEqMAVRVBpLdsSiJ1TwnYQZdXi1RgFgKg+1SOcNFVZnUHAcqSdfQFIjzJyIaRSrxrpB4rGyKqzzcqSSANJgkhl1madPwHDjLQySGqGTtdkDIjV1VVA2omT9xahBLKdehaoHEsLKIZFBgdQBYE8EKgKqoWzRhpXG0BmUub+oHDkg8M7omQJsdgZ/7SpwGIXRE3jrPG9AJ+YCyLqiHkQy6pBIRo12vOzfOmwn0MXpwrhvsv5i1GC+OBQ20lbAQhiKTj3M5btQgpsR3UgFH2GgCqP2wVgoEdXKrBt9gzCqBLBUGYqXUcFVFs0bQUsTIjG5J/NCQhA4R3uIlX2SGqEKbx2iNUIViWmEKqyY8CJE9WXFCo4jlT3cE7YFTRer0GiAmTASquMwxCstCwD3VOCDelTgy366B+kTaJUEHpwm/76lVrYM9KusddFsMMlq423XL1qqKGEqCGFR9EUIsKsiqBUsE5pGUVfuEXsop16F1SnBNAoAFqEUWsuWYP3ha4SDv6oQGyUhavTBKfj3raFP1HhxUu/5eHpwMlhGhQgA6FfVUeGMjaLAF6MAlURCfeaTZFukhelLD1hIhstmvSICVbiFfBEesQcv7kPGBRijyDSNKhI8iX0RPjQV1whVEfgcxPsgn2jMq4IeDP1MIRWOmigqjSVThrMIst8ndqQ+PR5H4jZhBSRlCxoOYoXVgEUbwsBRFUKEAMAg4CNnyyxVYFgjzP5kLFuk0e/LgzQL9x0iV7eVuxIC4RsvSJgaK5v5sQb9KCFFBhOiL8Jdor5lFWJGQt8JKgvDvXlVOCAGwTKYIzlqD6qsKSKclkxoObiX090V8mFDMRdADnY7EvtYXgCTgA/gRCzhKkSNhhqhtPaTKkw3AFT6NmEVBhOS9XJQhrkiWWspdDIGGiFeB4aA+RKsKVZSJ3hx7Itw0YaVfuFNFSzhIOXFY2W3VJhuOQLf8UPkvUhVHextNQqBRoh31OTN+EWogpgL/cLOKhifomR93ivDfMRIqMIklaXcByaBqCMSNY19RIKwcux6OotDGmH20w39znzYt3Ip2glPAanclBK19OAUeTviJsx+sgEqFqk7Pp4sQtTrNRZQycFOD7oKKOVRVBpLpkTLjaqgIgTBMnitJ0KISskDELTdcKHl4Nb+WLThRsRHqIKkHOSNtJFn/O7ywDqqiIoggWTgaOb0BT7EKSiasBWpG9V2lBD4Jnado2qtPX0R7hLNqVfhZNw1lKElV4XMFGCjk/5j0giCyvBNoxGNUA1JWU7eSDReRhFVWAIPTZN/3xzIeypIfkEeIera+5Njxo9+O1C3VQh9AICyRXa0j1BZojn1KkxSEPSFnUUAiQyKzAmDZZB6bgTMlaAaNQAosA/6og/2RTjIoFDBFy6H35kkv9pWaJFDv7Ycqpv2z+4mP/hQreQo6NfdViFeKYpKY8mUaHM+FYIIArANZQBwZLjKWuYEihG2BEAAQlFZhRLM0A8bwXaORrsSKrLOCYDj4UavBFFCYVqdClpwxSINx8dLnwCA/zhL/rXqh2+tgscHolFCCgwmRF+EuwxphGqITiDFi7Ngq6YRyjCNAkDe2G0Ip8h027snI75pdGf3z4r4aWwLNrvox+JShXxQV2idS9AIDQK/d5i8ua6QxwcAJoJgGQWsblEUOADUIFplTRHRCTC78oYslAZV1lQ4J8qhcxS5LuKivZtDqYhwKiF6ApKmUTVefKPjY5/RD03vxsuoEBoN/XZj2JfTn91NLn6g1rG2m0eohvQZotJYMuVwcRAz0kE2T42IL0VmDzsx+ZB9chXs+ggB20cIkeIyHU+JmJHANNpDbhoXyOMBKvjCAaBikfU2YO+4MINCkes/aEiEPZg/vWsQL6OIRljReYQqE027UWSrWAbs9NAVo7DKmiKZPUGpEQkSQFhcpu0oMd2BKizhbDDJbpkVRaTycg7WOz72FIQVRxW5/gOwtbTJPOSM3Q2uyN0TBsuoMwugL8IoYdNIRbZK2YKNjgTTaN9CqMZb26YkH2FEI1TiPrAt3JblIcfKfQlAjb48wTrHnu6PTZF3tgK5R4n7IEBCSsN/uct47boHymzw3VqjagwmRIEDQBlmCrDZBQDouqp4Edbb6PtktgjrHQCV9GDHQ0+oB4DFMrnR9xGqYDIKEiglcE8FPqgDqKMRSlnnYYNPRdLpAiRsupP37CZRKBIbNZEn9Z6vyBkbotJYsmahn0HhqxFgXbbIOn4QgdHvUosayb1XpPoI1ZAAylL6jUAkXkaVF8+RDXzTKAActWGlqVCYRsGE7S76pvv4NHm35jueKtMdaISgxhkbosaKUIOw3KgiMxRohNh5hABg9P32KqTTBbRd9OiJgY9QjQPCtqDRS/+xgxMWl1EkfrJswTq+aRR23YSqTDcAVCxY78gYzKfmyf+9JcPvPgqFRMdgFRB58nmed+bMmbNnz0Y/fOGFF957773gz48++ugTTzwh8Ili6VdZU+QeBNuC3zZkrN3AOqqOpAy7bflwH3G4AJsq2YR3g2XwV99ShUQrb2VOYBo9PIn+oAenydub/h/MERXuAwAo54gEmzDslpjxlNrgqiHsIrx06dIbb7yxuroa/dD3/Zs3b7744ouFQgEATFONBchgYbhLbeaULVjv+CXUaHoA6MfL9FRyX0uoNg79vMmO5xfN7E+IsiXJQhjrU585QR5hAX8KHpoi3/m1d2KGKLLOKxb8pi5jxj+3aHzzLeeYrcqLK4iww+auu+6am5s7f/589MNareZ53rlz51ZXVz/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"100\n", "\n", "\n", "-1.5\n", "\n", "\n", "-1.0\n", "\n", "\n", "-0.5\n", "\n", "\n", "0.0\n", "\n", "\n", "0.5\n", "\n", "\n", "1.0\n", "\n", "\n", "1.5\n", "\n", "\n", "\n", "\n", "\n", "\n", "Noise-free signal\n", "\n", "\n" ], "text/plain": [ "Plot{Plots.GRBackend() n=1}" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "using Random, LinearAlgebra, Statistics\n", "using TotalLeastSquares, DSP, LTVModels, ControlSystems, LPVSpectral, AlphaStableDistributions, Plots\n", "gr()\n", "T = 2^14 # Number of samples\n", "fs = 16_000 # Sample frequency\n", "t = range(0,step=1/fs, length=T) # time vector\n", "chirp_f1 = LinRange(2000, 2500, T) # frequency of chirp\n", "chirp_f2 = 5000 .+ 200sin.(2pi/T .* (1:T))\n", "y = sin.(2pi .* chirp_f1 .* t ) # clean signal\n", "y .+= sin.(2pi .* chirp_f2 .* t ) \n", "plot(y[1:100], lab=\"Noise-free signal\")" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { 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" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "eye(n) = Matrix{Float64}(I(n))\n", "n = 6 # Order of the LTV model. 6 poles means we can estimate 3 frequencies.\n", "R1 = eye(n)\n", "R2 = [1e5] # This parameter contrrols the amount of smoothing\n", "P0 = 1e4R1\n", "D = 2; # Can be set to 2 for added filter momentum" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Next, we apply the low-rank filter over overlapping windows in order to robustly filter out the impulsive noise. Over a short window, the signal is approximately time invariant and thus of rank 4 (two for each frequency)." ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " 1.018687 seconds (146.13 k allocations: 269.292 MiB, 2.13% gc time)\n", " 0.659918 seconds (966.78 k allocations: 397.170 MiB, 46.07% gc time)\n" ] } ], "source": [ "@time yf = mapwindows(Windows2(yn,1:length(yn),length(yn)÷20)) do (yn,t)\n", " yf = lowrankfilter(yn,400,lag=8)\n", "end\n", "@time model = KalmanAR(yf,R1,R2,P0,extend=true, printfit=false, D=D);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We next define a function to calculate the roots of the polynomials in the estimated LTV model and convert these roots to a spectrogram. We then plot the root spectrogram together with Welch's spectrogram. For comparison, we plot the spectrogram of the noise free signal to the left, and the corrupted signal and estimation to the right." ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": 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coefficients\n", " p = sort(pole(sys), by=imag, rev=true)[1:end÷2] # calculate poles and throw away those with negative imag\n", " p = fs/(2pi) .* angle.(p) # The frequency of a pole is approx its angle times the sample rate\n", " sort(replace(p, fs÷2=>0))\n", " end\n", " S = reduce(hcat,roots)'\n", " \n", "end\n", "\n", "RS = rootspectrogram(model,fs)\n", "S = spectrogram(y, 2^10, fs=fs, window=hanning)\n", "pt = range(S.time[1],stop=S.time[end], length=size(RS,1))\n", "f1 = plot(S, yscale=:identity, title=\"Spectrogram clean\")\n", "\n", "S = spectrogram(yn, 2^10, fs=fs, window=hanning)\n", "f2 = plot(S, yscale=:identity, title=\"Spectrogram noisy\")\n", "plot!(repeat(pt,1,n÷2)[1:100:end,:], RS[1:100:end,:], lab=\"\", l=(:blue, 0.5))\n", "\n", "plot(f1,f2)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "It seems like the LTV model did an okay job at tracing the time-varying frequencies, the fit is indicated with blue lines in the right plot.\n", "\n", "### Discussion\n", "- I set the number of poles in the LTV model to 6 instead of 4 as one would guess based on the fact that there are only two frequency components present in the signal. This is so that the model can allocate some spectral power to shape the over all spectrum to accomodate for the fact that there is noise as well. The last pole mostly ended up at frequency 0.\n", "- In this example, the model order is fixed. An interesting avenue for future experiementation would be to cook up a method which automatically selects the model order using, e.g., a nuclear-norm penalty." ] } ], "metadata": { "@webio": { "lastCommId": null, "lastKernelId": null }, "kernelspec": { "display_name": "Julia 1.3.1", "language": "julia", "name": "julia-1.3" }, "language_info": { "file_extension": ".jl", "mimetype": "application/julia", "name": "julia", "version": "1.3.1" } }, "nbformat": 4, "nbformat_minor": 2 }