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courseproj.html
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<!DOCTYPE html>
<html xmlns="http://www.w3.org/1999/xhtml">
<head>
<meta charset="utf-8">
<meta http-equiv="Content-Type" content="text/html; charset=utf-8" />
<meta name="generator" content="pandoc" />
<meta name="author" content="Dmitry Sherbina" />
<title>PML course project</title>
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xaXpygKB5dWVlFrb5mQOydwB7i0J6ubFjh7npdh1XXdKUdEAmoj3W5Db4m4QE1LVCapO1XgH2D%2FkB08JF83SNM9ZhZf5I9%2B7Rz8J%2FI3IIfrMb5LHcjByu%2BUvGUKxQ%2FkcaLYdZ40f8JWOkw%2BA4iEBtlYSmddP1HFw%2FdKtShd1YQrncW61ZeqsIAcmYleEIEKAhx1ry8ND6aFh%2F8V9VHtiPdBPGObFcRVTzQgcz40RO7WEpW0ba3k2z3i6zBvlL9xO4ka%2F1EVnLTSa%2Buo%2BmkNzrwWDyPcz4lWOAxAp2%2BTrKORXoPGvm6d5aKpzt50u4573rAOfhP1CUXfpbjl36l4XWpysmXBCr6PbGqqsTnSRvReJFj4Xl9rvYfHFko%2FqPrb9YYEpV1CsKxTiSrXhisap%2F%2BC%2B6uu%2F8CZVz1iWlY7fGdnKxd2eM7WS2lcof2ANfjrBHRsoomvoE%2BuiF%2FpXpsCFnJYVZIVk7UsM85PYeLXYofPYf9H42YsMdtUq%2FMTd79Ho4bf2S7Gq9PVRxDC6lKG1VpVBV9cvFXGr6oVycSFZ%2FauXWquCnKooTpFvcfy0YiWVX%2BI%2FD8UOPXvp%2BE5%2Bom3JHt0IXP6MxS5U%2FAqovYd3l62%2BltAxkkq6q7T7LR3xT%2Bcz8gICtekEZU28Hq3d9JkEXhcfclufMmmZusgqh%2B5ww%2B7k3Vwcd9XbHh1JbiELt3Fu67QYbvmRs%2FCg5by%2Fr3TnRlZXhu7ijl5o6qlZ%2BrQrpkGp3PTVTZFKpwyqWabnH%2Fce5T6T%2Ba%2BNhiV5b7vOiQWG1XNvGNzngqewJWX%2BO7%2BPupIVbDas6n8HPju1ZMXmrvkcJ%2FhQ1Ya89RaqlV9P%2Bu0DacBdfrcx5rlPXMqW5%2B%2FVv8cfLHuP4t%2F6ZgDdhPFR8DGRmRoMk6R6Yc9MgU65TdN%2BKH32y1gyJruJn9x3%2BQ4%2B1zUvkZZYoyqq52HfJR1T3OUca8Ss9VrVhgoR1nngEaUXl%2BEwnEj%2B5Lg7fIsNx%2FsEWwXdT%2BI%2FD8UOO75zqXdKad2WS2XFS9L3XHH%2FH3m9r4nePnO%2F7Ys%2Fk6qErLYy0lJ6agZeeN%2FwwccYGT1QoEPwJqvCIveWiGhaw0jqw4olppFhqa8b%2FC%2BdTSMfJ8SlX%2Fp%2B918A8%2Bor5fxP%2FNTuvM3TtoeHe%2FThlVC9NKslFVNwNc6blq86mEHcyuYlSiOqOvmLPKAkLhPzbxCP6j62%2B9f0qwwjHOiiWI80kKVVktH0mD79lpNHuEPZ9yx6Q3iKpAKUiIS%2BdKK4ZmEpg0z1gZ%2FjhD12TDPydq2A6DMfTF%2FCCSlRZO0fLXPJsLM9o5%2FJ%2BS1UU8jHffrIaAVo2H93qXRX3g%2FV5fZeaqtAxwpeeqH3Trtr4z%2Boo5qyzjqus%2FuvixZ5JszVn3T9bAuDz2jM54qngC1XyGupJhFtiO%2BapVZZeFqvBG9bLT64cJ8zEW2juBk3sMRUbTMA9ggQX%2FxuNExVKRpvwrklXWFA5ZaUTl2d%2FRNOseP4pZYB18QoGHvnMyyNx5aXCbSf9x47s%2BV9Vv%2FQ2nBFacueFU%2BfxH298aemcj%2BAollosRz0QwI9ygM56qmBNbdKZpA5nYorobKAtV1yzEXc4xMjWQ2Xzu%2BE7FzK0BZnfYN3ezIOaa7cYL%2BL91Kw6%2BwooX2cJdqES1Yl3fwkumIJzZeGJX6gvVmzcdfOOV0JL6h1jjlZuVAa78e1Xd1scYiWP5mRhHlc9%2F9PFYhwhrwqz%2BfBOLKP8AaClJVcxhKRb%2FbHAgM5D5bBD67tR1UFX8XUSS8JcpqS8QN340V4kWuHQHNRnlvBhKfbH7Vr8H6fkKWPUwq6eGeuYgy1ZNqcPGOz6%2BR9SZ1V7of6CvfPi4Z0Y6zuSjamFa6bv2XhUpNzRDI2ruGXdyLNC1U%2FVs9fxHH4912DsxkOnMds9tPgd%2FPNEpvw99qvKrPL3r8FZaC3Vl26BE558ratV5h5brrxqrSjZWe2oL%2FbGSS62BPrSGWgP31eFR1ZYP7%2F23Jv5tWjqelgG%2BMe9VoU1C5X6i5fIfCh7GYRjtwIM65C%2FhnJc6S%2F9XnldPHdKgJoWtn6q6WQa0qq4yZuwG%2BY%2FxN2PGjBkzZsyYMWPGjBkzZsyYMWPGjBkzZsyYMWPGjBkzZsyYseVnpcgqGjNm7EYTNd1MEGK0kaUITo7BMiNUZj1D6RBgIRmWfxAO%2FFpHr1Vl6qOHh2WCxTJWwxWpzzycMW1rU6TJ5QMexTRpz5cqLpp7Tvw4WJlhBGp%2BBo7p79qA4m5Bmngs%2F5fXJWZFOsN86VmYRFb3agsKnuuswqLabGc2wig6q2t%2BjKX3TfZN4tc1P6Y0CV1XT7c%2Buvjor4tXpcgXo5daH5QVaUf8fJhRy0f8ShZltOdLW1lj1bW5cG1qRVxmL77HjjgmvE9R%2FzPNIBmL4pz2%2FS4zGXS56nQyJ70tVuA43%2FnhhXCDWLVTsHLHWSNKIav78VHwuOp%2FIIMipCx1YtdARq2zGvoUS986vnXcXu35aXmpqlsfXTwuQ3eviwCdg68rVx9cjSm%2F72K8qp0Ka69yLaEXBOWD7i5NogZ0pBfagNRNqJFxxsqEFfWPwLL%2B09uwHqe3jaYjJJ1eWCSe0SKcjaeJvbvxVmCVVIo0mRsZbeHSfvd3JVC1cDG3mnyFKyZVeNRZBYmKOKvFKsJysjg6o%2BzmrAAX9OBrN1HQg9KAVKq66wPik8r6uPCT1iQBH4jbAtCO9c7Gmb8KgVM%2BfqdTH%2Fyu9bWEasxz4a06Nd5xLnewJl9aLgT0WD2Vqon8Ot6IYncG62CUwRrSIF%2FgCGtkgnsnosow2zrYZMcO3HPU%2FiPwqxhxq40cvmkhMjI00%2FaV%2FG5xiVySOYQtkapLVRdU5HNTVb3sG3VWD28VlUA7vFWus3rbPl76oT28l06y2%2FaVj6ru%2BnC8vD4Cb%2FWFUMG%2FT4XH2hcKkKBASfsT6vpA4Buj1ydHk5BqNakbb68qVa4%2BFe7kXqsqkWWbd4sS5D7Nq8qnh9fhq6ASUbCGlDUMzYSvyueGPCTnI541tkrS2bvxqGrS9jZl7inw218N%2Fe75%2B2RdsdMygrCWQjrAh6pe8igqsjo4SsrB0VkV1VPprIau8tLvS92Xk%2BgMXVU0X8ZyaqQIe9z14TWS14fjYceRL%2B1585dWnQL%2FP5PsR790%2F%2BRHvwQRrA%2FU9YliQHhQVZ%2FkNwJPM6d8qumNqgkP%2F0mw8lE1zh7dUfyzR3fECSoZKDuzd6IZZrcwKtdQ8FVVjzwQWaTGlIj%2F8bZ2hrK8%2FmKhznTC9jV7MiHrLH2pir3s0qaWj5Q6KQe3zmoyT2uZzqoVE5InEAzWijBJLnFcKMQlb2pRH8sWpuLEltWH42E86rbr1I2LlGV43EFndIv7J6NbZDvXuNsHHvmrqvpgcshjZLvsG56mlmoIoIpQuUZV3SSUF1VlSr1JNtlU%2FLPJJlp9qqruehS%2F3vUolXr3DHZmdah6zyC%2Fm3sGfdu%2F353R5d2ebHiTzlX1GloX7%2Bisiscu11nlsp9izM7nFX8lu4aOEJeoD253wLdAkNfHqb%2B4Uzne1nzFunMl2j7LFl%2F1byOn%2FJ452FykRVV%2B%2FwUv3dqB93QSKHKdW71RtRSqWnUDmQP7T287sJ%2FL6B3bIU1yVbtd284wVNPqYwVwRMWR1T8ALqz12mMbzupQde2xzeesGEaAsoCZ%2B7I7D5y8HqqKTF%2B5qaqrs4r5U97TYn24Ui%2BMSl%2FL5w4rGd%2FUaKUyJBf1YbWjaZALrVXVx6m%2FuFM5Pr%2BN0IR9NxOqNnLKB6m1enX53u354H7lm700rf1vxKgKMUqcrYAU0Qq1jF6xzJjjwH6jGB6jaR4AQ964gTXA%2FzUUPFDv2r6dcu8vxEe%2BHv9Z62vgq7WUlzWibUsKgIsTMuWnqp7OqjUswt%2FeP%2FExJx8CD9Nqw5NRlPrAcBdU67668PbGCiq8837RST9I1ded8qspOrT6urVcqfn5%2B%2Bj4So%2BqOjPn0bQXVUcVbylY8MQuzMOLvLHqKgJ%2Faotc974YP33f44mOxUd%2BQXtZI8ZXERIvM6rq6ay2vyHKvOOP%2BD3f70P2ZwTFdQkq1P71dV%2F18N6uK6tRZeuDNcJ3rzr4ys9V6Ybqy0upij9VnFeLGzFqXMfGUzUvHTyrAXo3UF7W8PeqPBMsU6QUvxVqiFVVOPzcEKrq6Kx2LIoyh1%2FG74dfFt%2F7adrru4qu7qseXp%2BqpdYHE1IDGTUeXnak9k5sPkfXuV36Z4X%2B9Xf2vHMO%2BW4LelR1Tz2KPy8Pk9Pb%2FXrGsmM%2B2v4Gzp8YYrYjN9a7Y2eS5mu%2F%2Ft6bVJ1VlwJqkPepKi1UPRVd3fro43V1fa%2BjPt2o2k7QrQ3Z%2BA4dnVsNXeKUBzolL1%2BbDK7rU%2Fd6XTZELtRtroeDrMTsRDdVxowZM2bMmDFjxowZM2bMmDFjxowZM2bMmDFjxowZM2bMmDFjxowZM2bMmDFjBeb6o%2By0Pt5KEzRo61BQha4rq6dBmzsnnUdfrlhLodptTKuFmDVJLn0sd0ZGdafebSRTli2lRY0tO8OVCkMzSS0VYAfPQuvfUp3VeDG%2BiNKTVLFK3ZU7aM6KnDijC0TqWfiqSo2CGxdvO7TnwP7e2RBZwpo1jB9Nss3n5Eu3rMmwTX%2BdtTuaqr4lULqUjgBkOUvuaJT4gG7ntEQYW3qvxWdWaOgsrn8SpSdDAxm6CnAhXk3WKLNXSzKqWKU%2BVVGCxCXi9rBegxCbcDgJy73WXiOQzpbYhBUUKy5Al9TxZ%2BpD6nolyZQaBC1QcgsKloK4S79Y%2F4gKvIWCpm7TwRa3Pr271z2L1ZTe0ajwxWVTFnZSl9cVo5JMl3qq8r3WNSU5VVFTIKKhAlyMV5HVq9nKS9X2J9xomXApF8O0Ckq3lHKYaKHfDZ7unU0wykYMos4oZh1fpFI18QcvyS8vpwJH7%2BQrGPOqi%2FX%2Bo7EOtngJHDEi6L%2F%2Bs6hlU%2FD6CzWFkAqt1jpU9fZmf77wPSuKNxTJURXJp6cCXIyXk7WyVEWioaCnc%2FzgvKzvcsbf3lmuczj6G5UcJoZr7ez5%2B7b%2FraojcFPVijWdBE3gs1SqYquqRNyKW05noTVR0lxzxxrtADVQQkBb8QA4yaiRVjGqFKqipK%2BsJvamNFdzeR5bmse%2BCp930lWAvfEyslaWqrbu7DcFwcI3lIBq78TU0NTQ3olkXn5ZZrftQ6mrX4LAaDthLszH6iaGTa4KaZ0gHqcWFMJVlqq6Gha6AapXcHpzA2A%2B9y%2FWIqTUJ0%2FySZ324drbsueLHBt5BYmKm4AEFqw6G89CemT1w%2FuTtfJUjRf0n3HCo%2B%2BdPdC5iq1iBzqFgrAi%2FL26%2BW2rL74B0S0vUNwd91fBRFHzx7TNkOL%2FNcnu%2Fh83n6q6Ghb6qhf6AW3lAmD0F0j9pR0lQZ3a81a10iHJSLzUm9e%2FpRIXtfdACCJRo7YAeuPFHN6LfOvfklTWB7%2F%2BLe%2BzKk9V%2FV66%2B9KmNvy6qa37EiHI7otDd4QCa9F8aKImBUhkNY5MRVngeRKRjifZxqM3n6olvSrTPEMnQK1sAIyEG5liIXcATLtXVxooBCX40ttDEN%2FmjzQUr4MXg4Hm%2B6O5M1y7%2BhSTD4SzpPvQeOGt9Pq3vM8qjaq9s6e3UUa80qgahTzx6W2nt4UfjhK6g9DfgxxnP9%2BJzB7D%2B6ikuB8SXrEPKUSKfYZ731WOqtaYHXyNUQitm8%2FVPUMnQK18AIwZdXcATLvXglGwRa89kT%2F%2BeCvWeKUNIr7b%2Fpdn%2Fd3kUxHVC%2B9P1NKoauvk14gNLtTBZnFqW%2F3om1ngo8BHzaT9Q8Ps4eeEk20%2BB3vo%2FD0prRSwxlqvJdmdv6dQCbuMB%2FoqR9Xm3F3rB8CVyAAvlwC4OANMFwHUzQB3gbokPzh%2F%2FPFNuSlcxK%2BrEeSjELUYLyOqN1WHZmQ3Jza0EBtcEGgx7wp2AkmSGGaURUlymJjHPZB%2FvTH4d%2FbcXPJXS9YenlZaBcRIEBNL%2FJxn%2FlqJg82hnSQGbaTkeLeLydIgJQWcyw1%2F3Rlgan3UVHVUHIGB9lFKWq%2FoKkg%2BKlHdeGtMRlS%2FEMAf7955hpNV1RTFfwKhLYYpkcO0DmK%2BrmlBqNnzfHFgwb9GrQUbJ8GfH9QrCZjh5zReUbZ5C7R4i85IKZIe7iPEdF6tlT9AXV4ZYEHVUupTiqpxGahqZ55COsVyPGjMhsoZUhVuEYUC1cp61BaU31DOpsspEafyWxUrlW4L6tJN2VgB%2Fkghh6a0uX8w5o3nSQ%2F3gYmUcgacyw2v73NLz6HVpxRV41Iy8MtUCVj9ZwDGtNqzRf0TY8aMGTNmzJgxY8aMGTNmzJgxY8aMGTNmzJgxY8aMGTNmzJgxY8ZujsFqucCyqMe0eRbGjEmI2nhR%2FHG6FDdmTYPuyzRFFsxGn7Euw%2FqXMzQ8LucGaZThkjub4WXQkmmasrIxYyU5%2Bbrm7ksJ6coR7obNoDIUgX%2FNSo1DlOxuxtV32QT8D%2FgMRcKk%2BWOQRvmKgrSGoRNgjuA1djarJcu%2FXfgzuKpUq%2Fx57MRgjX6dmqhhorKyW1sW20ofqz5LDw%2F327dsPDLvLTS%2FWYrnS%2BJoZ1GwrvZM08R4nFand95Qtux%2B0ckDH00N9c6mvpCPkbgwbCAzmsaF1mHFiklUiBnIgGh3SqwTbbyorOjBqK2ZFHhJTaTVuaW4fJ2rVTd4y4ZTvbN%2BMp0C35UdP4prB1cxaw%2Bl%2FL0TQzNd2eM7Wa2VblPeAZe60pFBF%2B0fZbpYyll6%2BDgsJ4J4iTwNEms3SxV4kZ2D3sJd1vkks6V4viSOdhYF67RnmFQjd%2FuTO2%2FwH8n98sJACwjIeqFfVtDa923hbnyiHUjWte%2FLaB3l2FpnLV5UQW6rry2HDCmD4JavQB40nVsq1Dl4S%2BPFxovn1sGysmoFPsUaISwHAaxWdMs6Zfmw1A%2BXwnESbjglb2gUssrpU4QoMuhcUYfLXulhaWfp4fEa7bhGl7gzgLN2s1RVRBlWuGySUcjqhaesV6Vj3e0ZJZJV4OWqZY5xqTSf0p3Cui%2FtvlW%2BEA2lJIZf5p9RFSHC5LQ%2BvLX4EcnVdNd86SDXLMibAkc8FnTfQ%2FelwVvUeFRYbWZ87AO3PKnET9qhr01U2QJ8KHc6zNzjX1jaFQik0%2F5qN3ewtLN08bzlEyC7CkFY382mqnDZJIkaXnhaq1Kx7vakkdXB62qseJTuFObWYPAzFD0R4l6xD%2FEcf2xssSvLl2W7H1HiG9k4HGc4VguHkSv%2BOU3L7wHrL6OqwAeejwCWb%2BgxNHNunWIUmwyhHut0WNncjRfbc4r9yfzXdkXAbCtAXIySZbgcLOUst2PRruI8pyiGwmn1SFZZqnKXpVHDC08VN6Nh3e1JqZE%2BUSVk1SNqVdWGs3w7DEiv2FtiyMLB7rnOrMcjysrG4aEZHKvzAixX6XM3TlQZMQR%2B3dTpbRAmx7uyeycgXK2W45%2B%2BtwuSYu1CS0oSvm845SW3IQ%2BYhYAklapRl5uoz2o6qYcvplJYKSRTeaoW3rN%2FDOSNp%2BsQUrCFRFVnX0T7g%2Bi7psZKz1zR%2FeoStapq306uqNaWU1U7frc%2FtvdPibxomHNz%2FRdk4fXGo32TDjbOKFQNPBbN1V%2BeNMnv3BJiNfj11BbWIKNeTguq9vhOjCU4UWVqRrw3dG%2FnpO5NedvTqepgKWedW6eHL6bS0MzH99x8qrrvwT8G8sbTqUrB5uV13Eenuv3jTO%2FlnZWOF94vfz2jQ1TcoGhkymlmSLrU%2BGPHnoH55tniRzT2jCy87vjz4fWOsmCSRNWew3sneP2jykdfcC81%2BOKJQG0gK9ckalbUSKi8ijPVYQ8ihZAqxakcLOUsoftIv0rSta8PyLiFVF5ReaqibyZJw4kXnkpVGlZ3Vx%2Bn%2FcNM52VNuPh%2BA4%2Fx1zN0oqK9kxCPHLK7QanjNvTO2sFyzN13yaTKNpyNstW%2F7b8g0PKdXDBIwEwlTKoaWDXqkmOoocbnk0CgSEjDgwRai7p8Tlbcyys3V02rwx57%2FK2mqB4XY2ln6eKF4Cq8zuqkyLhVmqrcN2nDiReeGqvQsXqKiPpk9SAqzAw%2FFa9ndOTHWPWR7Tju9cydT6mwWM0I7rA67%2FRdMvzJjV3ZcF6wuCsr8sc%2BwfgTuEGU6NtW2ptF7Xvi5uELkwK0REIuyCaoHi%2FF0s7Sw%2BM1Np%2BDqUHjcnhZI9yVFvd54Sn0o2NLURR0yKrzsqbgfq0AzvC2%2F63q9YzHxSEg7Jk7tkN9HsqD7p0YyHRme%2BY2n4MkTqf8HFZzagv%2BuQF3dXCYWil6xYH9fPotlHcP7Gcrbh7eTVZqxi8fZCtVj72wlLMEyn7Nr8Tb6sUdsmmNl%2FM6X2l4mqMLd7XqaHGfg3I%2Bqemngy3NeKvrvKwput%2Fdt9p50MZSBD0hIOyW08gdBsOsOgX4DopKL2zMFMpJa4fUDsNWQLlu5d0VNxfvNDc14%2Bc4q1r12AtL0UrmKP6cVXiaevGNMXedKV7qoFyf1KOeBvZ6yKrzsqaoY4IGqKkyZszYjeh2qiuHNmbMmDFjxowZM2bMmDFjxowZM2bMmDFjxowZM2bMmDFjxowZM2bMmLEym65O7%2FcNb59Dlp1cnvWvuA8FoEYxnda02A2oVVr3SlbMmlyuNM3p9MYZTaf3%2B4YXZ3EZMXp7JrOdWZ36VAp%2FoyzwEUhYfkStC3XBXMGdZ%2FT3fXj%2BPr0rWbHAAuhkTt7Mrobvb5ETbA24WrRYK0al01sani9qw%2F8rU34yL2pW7vK5OPNKG7tyXq3b7%2Bges9SJXQMZSn1Kxe%2BdoOkq2488o%2B0yGtSwJqNK3aPrpWoUBU%2B19k1A4tGvBCMw4BPgpU%2FfW4n6U4nK97ewh4ZY00JeBg11evllhR6QXKfXwbudXYXvnf1kE67f%2FGQTLrClly%2BEoNR4WEUKomYndtHrT7tftKaTHYtIiiR76CUQO5VrGOd0jzfegd9tvIPFkXzy%2BgidZHthoQbeirVeo9QfhcebFqLajkWnhjUcyoum0UJyXVe3%2Bqw9qF%2B5mtHDU0G8E7uGZij4MAggIB6F2W8eVdc1xxdxfwssH%2BsfX1zXbP8CdXqdy6p1eh28%2B5Dju7K49g7Xb%2BKaPRxZaeX3zn58D6eICg8SMCusPVaM1fK19pTyhQCoSpfYqguz3S%2ByBpvejQ%2B91HpN1tBc9xh6QxTlTMP%2FscNbVfUROhd8awUqXjgitpBcV9maXA0uqO9YVGpYgTULzlNrvUYZi3VcHZQx54MgrZ6XcSeO9m2%2FEsSjL%2FEHUb%2BdlFXYlaMqq0HJvUROWteuP1%2BoGlsUI4wNy400%2Fjq9Dl4canzCFRY1nUwQykf5rYEMEnx8AKmtwsO4wkJXezZbdVFGqb%2B4A7UuMYq0JHFGyA7tObTHAodJSGcpXPeY1Q7N4J41sOofPkPDfyPHw3X2WAHcWqHpJBGfIyo8yAYZHgPfkKtzUsl2uTFUagQ%2BSri6bRgRPiqnq%2BPGI4miKK7pCsnpW0amaMRz16n1NfUc1SpqUcq8liaahugm1%2F0mUOqI47vniptMrtNbGt5RlOGqMSr81BCrhyCvmjukGp%2B0FY9YfdNJlc6wwFsFUYQ%2F3nEQqFG9Wg1I6B7z%2B%2BT33ZmV1Qfx1p5WtopFc0KSBLxD1Fo5vulKVEu2ywurogaX23R1gZ2KGXChq8u3uuoLL6lP7%2ByxHbQsLmuhEFVkiXODT0hNZx0RND0tKe8r2L%2Fo%2FZNoMsF%2FuU6vg3f3L3J8V9ZRbj23DkdJVfkBO5OYJ6oSjweEaiys1Bl28O5m8cez%2Fs8G7Zlwv2WPrKj6JBP14LrHVgxHVBxZ8XNCWh%2FET4cxcOdqOgT8mJuocvyxHY4ibqlUVVNDZ5ycGnILx3Zlp4akQezbmLEYmcKYRugSQyvVliOLW0qWuPJUZf0ndjkt1DMHCUTubajTu9R1%2FXV6Hbz7kOMTtpg%2Fzt0wu5UglG%2FL%2F%2FcJotLq4w5o1XgR8Kt1iVn10AwmkxC37qcdi7tflDU01z1mtdDAMDeH%2F2vXnFXVB%2FAwh7ddEEQ61PjmguSHHM9qsWR30C8XHiue2lCooUdVVvPkU47nPPmUXDKoHXWmu2F0tGMa1V4IelncUrLEhW1D1CvU0je0Arz%2BvCOL4wYsfPqBOr3FaRaZTq%2BDd%2Fe6KnwUXnPg3G3lfJRYPu6WktCqj1793TGBXJcYI4HB0825lAkmmKSPJad7LDLAuFWIqj6ID92OLghjMAGPNYF62COqCm%2FrZ4X2TuCj108rqalRyuyTrRCS7yCCrhCVA6IG8xHFLM7My5fFLSVLXPm00u5bU19g%2FXmKqyub%2BmL3rblfOYrrNJ3e0vAio1Wp8iuH586OYXCSfbJJrbjo6B5b800sQqqPLt5OdBHxnODHd6oFSJcE2wRqlOa8rIUH%2FKxFiQy675z6EoWeTNLNEt%2BADDBEWCipa4%2Fatae2uJQLhU5vF1Wn93uGF2dxdXoKUuged2vVp1J4JxDWdRpa4Fua8x7Z3jMnn6V63Xl5srjXkyWuPFWFjmhOW7mm6K71dHq%2Ff3gx4yBjl2P9q%2FVdRgvdr9VCqCJdAWFbSha3mKz6RNW9W2PGjBkzZsyYMWPGjBkzZsyYMWPGjBkzZsyYMWPGjBkzZsyYMWPGjBkzVgaDZXN7TCsYM1ZICw1dWVC6QQmPPvtzn72m%2F6DGlfrg%2FDNqWUZc2dpzuOL3PW0xqhwm1PqMVtkZlcJBHsm8P2tcK13GNnkOD%2B%2FvvpO%2BHbsxisPqZ3TdT0lXFzf2Ye9sfDEIq%2BytySDoqfXOxj4kXWUMnTfI2tidv1evSQi8FGU%2F3qbRAUwjleD%2FPh18x%2F%2B98wrtj9KtsQi0Dl3a0gpwsU01Ta0CVY1kSfqyoDYx7f3UoPtlHse8f1m9R%2FDw%2Fu67aO1PoG6H1DPn1a1SOl4QFddrXydZdXVxI%2Bzh53D1IwoQ4kq%2Fh5%2BLqB0y1nilmfHrbD7X%2F09qqq4F2cz1D9hjWZ2y6aaDrJ0hldqhK%2FBzWi%2F87eze1wtEkX3P4TKeoAZBHINZDW2ZlK4AiHASrmMPI8Y8J3i7z1NLeJafYOWmKldbLGV8kY824rdC%2F0gp47aka2qVyNlwmbtEvlUoMnF6eIeoOenV0skqdHFhmS8s6hEKDBIdWlu%2Frwkwzz797NOop9acFxXzf4yBhXhOKWbvxIP7w0Bx1aiHzdH%2BRlXVnb%2BXdxwYKLcXuGE7y4scE%2FAPPtJ8VIYXY3wC1HcHMqDG9xK1ZWlUXSrmIV9clVcFBBkPR3sKjw2n6F2BrF7Q2wWdBd2F38laNczU7bh0fJGPNs5vWUjIzsjr339h6b0Ov6zb%2Fv5PQL897auEuMQLbXleYWvkvxO6uPFF%2FC6%2BqNLFdfSL7nrgrgccXSPZpbmgaFd2%2FCjr7jrULJUd4zYeyfVBk%2BvfiUrnwo3vRmGcFuLeXAsI4oJ3qfhX1%2FSmZXg%2BdqE85%2Bs%2FfP2HttQmaV8WvnGGeusMz%2FCUyV0LZbJSX8Q3CKkRfCYgYxoqj2sV1oA0ZtTxyCxKIKtVl%2FjcGV%2FEaJP4XDEWQaSE7u7oGvmVv%2Fm1pfe6dVy3%2FS2JTFzPnF7n6n4S1FC5aHLDySp0cWEwr4NmVOriOg%2FfTVX5xTsWcdQ%2BtWV0i3W5TdnPWcPWQRE%2BhhiOgOGr%2FikuFCz5oDvJpu9DAtpiHXfbakUHKfjUV7DivsUfzw2FxkbTq0D%2BczSNomUUojZe5LVROW9JfTTIeDz7k9Uu1UI%2FopZC1cLfq%2BsjiJokkRXlSHjsBi54OSyVzGEhrlIIVOhwZxRkNbr%2FiaX3%2BnhCt%2F1lio6P%2FAKyLkw3A0ClKu%2BeChVBc2R1dHQDjwUeU%2BviVlVh4IsHUlV8lo9JCXgYR7YH34MkVK78w%2Bv98a2frJvCG%2BudFSNfnPlJRvdNwoz2X1j1QGb1b%2FfZwlGwSUTN%2Bn9Jsr5JP3z3JY6%2F96Uk23Icf%2BqPFwmlnrkZe5yfifTMRdTbTsS43Bt33pXzsnEYHXHpP9UD7eniRJ3YvX2tfQdvlS9g06OqQ1SxaQmdrPE8Uf1Se1x5WcfpxweK7xRGwZryURVKa2j7yvuc7a9eP1VzOtlFh%2F18HV3c1vxWA%2FIAFSlafEjdanNX9uHnAguRfOlIJ3981O5vkYL78j1kfIPfvGoggyPi%2BVTn%2Fw7aJZ9P4cgJVwj64SGgTiMex3fMMVtpf7xIKL3wU1a9%2Bdzmc6z6hZ%2FaWz3UyYiKgakY4zefs%2BeVMf8HyLO%2Bhf9UXUEgR9Tmj5vssv0zwJWlqkNUGNe7%2BWxSvd2VQ1Y5Uf0cXFYj3Jug8E4H3tOPavzLhzG1L%2B5zjmwAolKVz8kLJV5zMZOujm5V1WrGD6So%2BCy9eH3%2FhWaXtH9X9nxKdUvYGHf%2Bnq1wlO390OdTvbNtLPA8nII3Fg881gaP3%2F8KiIcEyLuv%2FxCdhdVbB8NSPCaUgKJw%2FQf3P7gf7wbJJ9vvLLDQmQWJ745czTsO7O%2FMBhbKNapiSCTkM8cjuBFRkzQDXOy44hn4X4HvpwcZ1z7IL6d5d%2BNPug2nckQNOakf7wSXF1lVRF3q4JgJzonD%2BqSiQHPK5ehd2cG%2FKydVYUx92%2FsMaIOacsxVsRXd3%2BcnN7o6urpzVXxrGylI%2BoBAp%2FThiPFo306%2BcR2eI3%2Fom8%2B1wTiM73mty63gWLLHz8WxI%2Fa2E3f92Qq0MSGV7Z2JxhdSJzfi52bIdePXkxu7sjCK%2Bb6%2F3XAWpCFXiLrDllcrTm3ZcLZco6qgmi2HaW9EJM8Ao%2BPyZ%2FrZoMuFJZ0l77zDkPhtyu1WgF2UzLGcmXLhdyqyylrefb%2F5eZsrE0y7Ck6%2B5G%2FndalqBdp9znh0h%2FSVk6KDKWxTn%2B90dXH1qNp4sfvS6W2gTgd5S8xVqgWgT25EYoNoZn3ra7w%2BzjYa3g%2BddcBmVO8l%2FpD4w8B7h%2FYUpiA88ZCuuAeS%2BtsObWoDvKRGzR9jwm1VvhvDr6vsCKH5Y9%2FyO7B3FYrtOJ6CQGRHuUZVQbX8Jo%2BpgiDJ5xrq0cs9bvBx1TVdaVC8iAj5fad6Duo6uWvivLaR3S28xMqTuwnOmmwqJ1Wbj3rjYXirV4W11A5G1mRaurh6VO2%2BBE5Sk3Mrkogjq%2Fn4HiB3A87AemdpOrewTUIHhMBx%2BL%2BedI36TdAN%2FGwjkKhe1idHmd%2BjjCpe2nTbe42c2NU9p3JF%2FbnqUpO6bp0OUfkkYWRKbMQwMiWfrlTail6KhNTdATzTfmenP9ZP82YqVdde88Y%2F%2FJw6rL1OooqelK4rm2%2B2W%2BBQvlXSc5J851GTu1InXedW8xotTClIDZ1Lv%2BSQng1tWcvVbrVcsb80fVmp61bTRL0LzmjJzfhS8Km66jtnogXVLan7JxCFM2HXoeZNqAxErWijfQcftDFjxowZM2bMmDFjxowZM2bMmDFjxowZM2bMmDFjxowZM2bMmDFjxoz9%2F2u4KsiaNO1gTOYkgWLZCarynNZV6uyy6zRcFwRkdJzX1iee%2F64%2BhRBIyIR81S6W3CtZKy%2BHR53neZrO8zLFT0NXdhn%2BH9PyuTN2Gx0sqydraWHlz8rYyAyt9KVXs7%2BJjBQLTzbfr0X0PUh2BQokTLBsuXhJvoED6LqNFxsvhph9BYoOXl3o2vjRBNN4jJlcMxzU6Azmya41r%2BcgsAakBv9R0VQdJkfnOUHUeV6O%2BLav%2Bv9p5JV9T9zzWzXescZ3caU0LHMMSkrX1kkubXlF1F7rEyWIzRaWJ1YI8UJ%2BvWSB16%2BJzg594yoW%2Fmr3rSqHCX6ZyHUDwY9U5a5rhvWhGVxmhkvQrMwqtq5ZXZvA853ZX3YnSRLZ1suo5rrhFOt%2F9umRqTbSWAaaCJdv%2F%2Bcnn2omdQbN7Mmnbv9nGAX66FQFXZ1v7QXyhNqM%2FsY5lA6rqfNcKr53VkjTlr98EMwJxT6M%2FjryNUUQRvgnSgQNv4nLHP3JnWDutsQDqSHr8kGmr5jYw%2BquIMkKxNnnZX7Ax187qszwETXn17HPiqka%2B4zguOmVi21fJv5P97%2FGGatWadrF3es8FX0iq%2BmdjbrwsGhXOdZYsTb20EsYH1DGow1HhS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2Fy8vL6%2Bvqfn5%2Ft7e339%2Ff29vbo6Ojz8%2FP6%2Bvr19fX19fWmpqbLy8v6%2Bvr4%2BPjT09Pr6%2Bv6%2Bvrr6%2Buqqqrz8%2FPt7e2ioqLPz8%2Fa2trW1taioqLr6%2Bvi4uL5%2BflVVVXNzc3%2F%2F%2F%2FW1tbj4%2BPh4eHq6ur8%2FPz%2F%2F%2F%2F29vb7%2B%2Fvz8%2FP09PTMzMz%2F%2F%2F%2F%2F%2F%2F%2F5%2Bfn19fX%2F%2F%2F%2Fy8vL9%2Ff0AAADZ2dn8%2FPz7%2B%2Fv8%2FPzp6em%2Fv7%2F7%2B%2Fvq6urp6en%2B%2Fv7%2F%2F%2F%2F4ck%2FmAAAA8nRSTlMAGgDUzwIP8SMQ759fCgUvqfDGFeIYA78fbxNTt98%2FhsV%2FBhdD4Q1rRI%2Bvwo3ATxJTD18IoKWasozTETbQ4D40IX5hC6dAMR7RXydvEsRuotKLkZCATYahkzOxQlFqmbZwJiUhFWy1wyJYcXI7gB2XIEFbgjxgiWFtfTSFMy8wSYgEqFBDTSE2KCpnSyZZUaZHRFAsDuWBYJJ7AVZQpC0Z6njBKWjdN4dlMV30iN8bV7%2BzJJeHMRiDYsR6U9yVYxdP2c1dj8CKFZZVFjtaaTxOI9cMKQk4NnBW4PKUOmiNI%2FkwWoQYUdQOSk6GvkUURFSM3n71h14AAB4tSURBVHhe7J2HfyPHmaa%2FYicCDTQCQRAkQWgABpMcDSkOw3CGM5o8Gk2QRjlZOVjBsizbcs5pndb22r7d23ybc7zbdDnnnHPO%2Bd6%2F4FjdIGu6vmp280CtbF%2B%2Fkkn%2Fnip%2BaPSDDqA%2BFOm7J3ncIoDi0NAQkY3d2IaJSws2NNZZnCouduhAsrgf7o4BYy59O4fvn3ROJQKoREkBGKqYytAJCCEQWh220I81TPFIozLaNiCMH4PJr47WIooL1C1isUUsFSwpkMqPAMARDUIFjLcYpj5tGbmqw%2BP6bhz49jZwbZ9S9k8Kd20QQLDdzFbdIz%2FJJ0OFyJFaI6mOcZ6HGOzAGxdi0tN8JL063CmJwi9FviX34m4FUrlxl0PgaBgIbrXJJfVp08yTrbq2tt99bINtCj9p%2F2TiZMMigCzYGa0WxwBgrEjxCBUici56obyLjsF%2B%2Fez8KGLwUdxVJuq9HZcpljX16lgjlaeg8hTpmUVNqubcUjzNKnBbGIBbJS6pT8nMo5ilAms3kxsAbElvsP0DqP2Ttt9KsEYIoBELpWxWDyHMocSDdUiCYMYDvJmAl5sUE%2BcDgiaiLMd6FrTJUmskFaTyEah8JPZsiru8WGL8ouLpx2rfqshkVQix%2Bz%2FOoyRIte64GalXsb5%2FJFX7J4UfxsVI3EUcMyrVrbqAtbVVB1x96q39f4Yo0goYpBJ6EmhWa31nx3WrUmskFaTyJah8iVSofNrqY2umHOeNsyIQ457ksUTnlP0dq4NfVyuLrpTKLlHy0sUp1UASq%2F2Txr2ASAiiwJvNYrVzBLjUbJ4BjlS0qbdE%2F%2FStUgAExAMyWG2jI2EFDd3qujNsWcPOesxquY6d1OOSmiMbId4YCTT%2BBEq0xDjRKACM8mO1HwF2mYm%2BDnRdrRRht5hUmRPHAeD4CdL3jwBEBQ3OheC84VE%2FXi2L1Q9fB14kOgFc%2F%2BzeVgmgJKuVTnzsPSh2iFoncY82uVrw14aH1%2FxCNVbszO4heYa0vDPk30uc%2F%2BOxv2LgBAAGdjSM8R548OvqoxHiUl0bYWyX7R8h1P5J22%2BHUIlAxXSl5FYDeZS67hHgTO%2F%2F2aoPbWy12r9JqFVifFsqsLYGbGtlJyq%2BV2TuBRrA3WTgs%2FAY70S30519XFebg19X3520%2BbakctBO2j%2BZ%2BNt23qsdwduyWCWnjjB1h%2FZvdWkqhPxKVhi3gMamh2Ilhn304xeIaTVJpVlsTp9FLRt3F9DPgvtmX1czbf4FSeXghcT9k4WXLYxtg8oYrLJRKZNTC7XWa7R%2Fq1RDCDfq7RltpDwixPTcjIdii1R87MYnptUktdKYn6Pz89ZSJj6l6k8NcA%2Bc9bqavvmF6jbdHqwW0vYP5%2Fq9dLGo7qVTrY5OXKnXr0yM7m3V%2BFzIAs4S0crEckCmBDOedY1UCmI3%2BtN0LjUucan0yDOycjD8PZk4VJDCB3%2B%2FqmmtSqlc68g2dUYKlLJ%2FUrgzMl73Gu3xESfFqorzwO0OsXiI4kmrCe%2FSRoQ4T3slOK2ea0qa001Tgci0E2TiQkVk5tHooO9XnYJDWcP3TzovT4xOL5dJixDqXz29gHhGRZTRIRogzT2l5mk6b8F%2BG5KhtyB5%2Fj%2B2mie3mie3mlvNk1vNk1vNk1vNk1vNrZbouy65VR8%2BsST3UJbGpopjJYZdoNsFXGOptDrpfAn9LGWvU5xaLJFvmr9Ycu3kzstYuiHrUuaUFsfGFg%2FyQOFa%2BHaCIAeHMNTnPgA%2FwSrnrg3UPPD%2B1R8AHnwQ%2BIEUq7xONv4w%2Brk7ex2vBhRhng9ks%2BoyGAXU6XYrROTzXnTg4PrRW3EAIQQI8tueVn3I%2BGarnNuoz4%2BOztdZ%2F%2Bpl4KWXgMspVnmdbHwWIgxm91XHA7JxiJ1A64jHvJg0WS0CmBqzWf3NLSG2NmGTnopCOm8l8RZKpNsDSbG0l1UfUXyjVcZLqE8EoGCirj1cC%2F20Eq3yOgjrML6wwHgLFoWxUGHzicx1iB4CQJy7Iee7S4biAw4QUM9k1XhodzE%2B1yRqzo2zk3YXkPZaZODoEJl48avVU5pVQQjFJltVUgHfZJX9N%2FDDuJ3Cerdr%2FasvA5icBPByolVeB6yO5B2go%2FOXdzpJLuAVVseuGOv0%2F2M%2Bce6EnO0uIRO3elPbciars9UyhSlXZ%2FkJvoVSCS3OaeNRCTi%2F59j7UGFc0J7XVSWVad2hpv5VEO9fPQXgwx8GcMr4CRybTHWg6ijungJOuRo%2Fhp%2BgMD%2BBw4Y6Xb3OrOSG1BTPdKxCJZNVfJn6%2BbKhTnMcGG9yTv%2B5Zrb6CQT4LLtQEAkBIRKtFgR2IgpZrDa8aEzvX60AQBAAQIVi6bdzEa9jA7aso3FnGph2NA58ncJ8HTBsz5%2FQ69QkD1OM9TmNju7yYsqxmtFqI46fo36eg8HSzwM%2Fb7L3fR6RkYPwfTdzQVBtOklWuT1ulfevCiH0%2FtV7sZt7zd1ovM5F4KKqozgBpHMA6BB1AIDNb0yuGOvIVPAk8YT1BztW3fq5rXMb9fZjcexEEwEHpjPw%2BLjxDPwH2xHgvIIPMy5EBqtCiBSr6f2rswAaQjQAzCbsFVYn2NwMVB3FCWD1AeC9RO8FADb%2FmZ6az7fzcf15%2BWr7BzhWnYnV5irr1gPtWCX9swSbQHOrXN5qck61ByTgfPY9DzUC%2Fs6GICfsbVXCFKtp%2FatL%2FY9pHQKAJUOZyUnwOnNzYR3GhWAcKmDzHbU9GfpsvfcpPsh11ZhNZXVTG5qbt6hJ8l%2FOT%2FeITPyjX6l9kG8mqe0cwGp6%2F%2BrdAHCd6Lr%2BewKopNbh3Gx1kDoET%2FHBrqvGzCmrc6QlGFFA480k3jxdZpsJEoCgeE8lhfdQQ2JocjKj1fT%2B1RoAvJ%2Fo%2FQBQS7fK63CeZjW9TsOrM14dHW%2Br%2Ban6vF3qZbJKyurBpGnQQpicNDY0E4aAXnQC73%2BNh3XZsv5V1ow6RzQnv4%2FyMjJZ6nDO64jMdaZHJxgvUHnZND%2Bh%2FuguHdXmU0KEUF8PPpES0esZG5pJDAkxdDPOk%2FdC5Mmt5smt5smt5smt5lbz5Fbz5Fbz5Fbz5FZzq%2BYGw13usyHXNjcHKKrHZwuvpKWLinmDsECGlAwdND5R2vIg39VWq0atfV5Y14fs2ryIktVqjbUepmUW9zI2CUyes9AlnvJZtEfiaAEL%2B7OabBqJQ619rSnT4jwKiCHaRaD08MdFvVDnWhVXWpm9jFYrEf5AwoYQz1INNQZ7QG91GJfJkH%2BGBzSyghWyJoUAhJi0SIXRAaw292W1eSBWE4uI3YAIGAOYVsWl1sGsvhLhY3FahN6SqXLs0xZKxud5QurmeQee0xGIRnrRD%2FVGFE6iJKIQj0gdYsjI1RCzKhErnWrVj3Hy0Y3OwCDaqx2Ya92%2FVeBYhK8DbLplAbcC7MT2vh%2FEMZPVyhraZAjgMGRe9S2RQiWJg519D%2BoMnPi4e1n1oReZJXLHKtJqNUFrNaZ1EKuzIswstzp%2B6dK44Vm%2B3Ah%2BCmiZ9%2FsDxFNBnX6%2FrTYVHuwMvJBmdcFs1YdmtYp7yLVRdEFUSNBaiGsdwKqKxq0vAF%2BwuNVTn%2B68buH7uQqxdRYnXWL5XXxtYKtChfHEgcHPwKEeSixPJO3BZHVdt1oQc64NwEZM3zqpxPn6%2Bpth9fiLwIvHmdUOwswaVDTPb%2BB%2BYnkYP3dwx2rmu6XWQZyBhdgogHj5XYTChhCm%2BoWqZtXttn4EYW7Wpy%2Beqbi%2FXshk1dqy9mMVH9ja%2BgCY1YcsIcQW0DGp%2BGkcJpYbeGlfVktAaXCrzYM5A6%2FQ3lZpJWE7C9UYr0wBP4kwSh%2BTKrmSmsWqNdwctrhV0Q%2B3ipMnway6eF7usjYe4lZbpRpeIBbge%2FZlVZnI0nyXOjD4PTCHu8hk26tvh6gQ5ypKH5MacSWVW63G9VnDTriYLnNRhEyLdWSaWzLX8AU5%2Fkn98zpXwW6X1Mj%2F0NkCFhKOym0emVgYbKXag74HNtchGGyPTmyH2VbZ1adLVbykpGpW41xKJalV34qd30KwjkxjS2YX4WLXFfY%2BFmEakz3SYpt%2BH7lSXWFHJVud%2BvfXanNAqzxpj1vQpSpeLmQ7VUmpUivrTw9EmDJlyty25SD6oVHD404zqTQiMaOF3R%2FS%2BIboZ6Mw4PrDB3UGFpRchxTkSX3cwePQd0ZW2P8ZNHkvRJ7cap7cap7cam41T241T241T241T241t%2Bq2aOAs0rdVcquuXawYFrpdTF6%2Fl6eDJUqOu0SDxvdpH8mtus8eR9HUnQ3ftK4vANslPSdxisOlKcjZ8uc6jI9Ryzy%2FWKEuq%2BUn9KOHW5VA%2BVASn%2BrQAcR2wy%2FJvAWwoYjyuD4vFDnwTdi33ZhV1z55ybJYx0B9sw2UDOvrRqK0dAHcZ16C2xp2T1ywntO4d3aCcJXPH696M4EPm0s1aQWkISRQPpTEgcUWGQKAkLknBtIRlFbGm6yUokyeHDJyGLT6QKRVTcPJS8P6Wq%2F1ibnlNg4b1tcFwHR3jOunn8KmEGLkhG3fMeJofPR8yQcWXX1%2BuTAa%2BMAFTWpBAKLAtALSEBIoH0riAIrdwa1KEVA2OAfMQyZ5csjM14llHX2tahqOX2PLSr0%2F6kkwrK9r6ts%2BFcKaq1eZix7h%2BAnG%2B4uZr%2Bl8oUK%2B3p3hLiJURVhkjyANgQzUOJTEIWN3BrUqRSgbBs5KKcrlySHOE1tXIq1qGl8V1MPh0KJlWF%2FX0AVYQjuk9xuvb7CGTzB%2BP6w6UL1D4wsoLrLttrEbW7cRjpGR8iFXcaMl3x3UKmxlw8BZKUWZPF6IS%2BVauVSVNjDWHQMu8PWBI6u1%2BEFc%2FaTBNQE7Um3Gf3RrZMIbLzgaf6cHKTV%2Bgr%2BgrF4w2iAj5UNrGmeWpga2GmXNzHkpjbKXsc22v5HUutIAsDbEpao8gCg%2FxtcHJsn19XV%2F7kGE4VafkvVtMF5oEp0ul3QezHhSKvTXYfSpJ%2FY6BSylSKd86A7FjZaqzwxsNXqEOxI4K2WmI2InI3z7fTLGDx93KHxLY5ZKvQ3IbDYN6wMDgLa%2Brnf5i16C1Y%2BMb9cHGJdp%2BpwHMxsFAkjTGg3qUgkYlo7MlA85ihssWZMFZ1Cr1rA6TgycWzVTFcP2%2B4lSh50hoqfkWxopleddFoD6nGl9YAD6%2BrptrB2SuE6xNNClubLjdtFgfDtmHqworrRG72x0qQSEokzUOJTEw7daI71B75akTyXVwFkpTrlVrjVZ6hDRZZy8ZJZKzkUPjTNkWh%2FYsJL%2BxzzIeLfH8Z3YyZ0D8eS2ZSAUlUD5UBIH2qfPD%2F7ORvpUUg2clTJTocK33%2FzOpi91iFqwfvCaQ%2BYEM43H1FjKerzN01UPqJ4O4nj1XAMyjXOrA%2FHktmUgFJVE%2BZBELueNyeVmQk8mZW7dJ2nI5VIljwaZP0Z5uFZzU34kdYiubY2cdygpwbRylLoeb7MwKkSB7ZjVaSEzvToYT25bFkK1IXPKh0LkcD7dowNIVNkx8ugLO%2FY4TddqbsqPpA6R06TvvORxEnDeCzFo8l6IPLnVPLnVPLnV3Gqe3Gqe3Gqe3Gqe3Gpu1dzf%2B5Zx1ShxcPUHT2uqktR9uN%2F4ST9UWThIq65taI95S7gaAsyddTWPzc%2FCB85JnHT3ZdVuUULel2C1UsTCYK8at0XAUMsNrdqm9pi9uQd4%2B5kPq569Prk%2BgOISkaEPeXS%2BDns%2FfJzXJ2oplMnGAoC1fVlV28%2FkGVX529x750BW5YcvgEox7EYrAYAQrL835ICJW09Xq09b5vkNGPi5kYl5jbPHVVmrjQMfqpWI9SE%2FQvTIRB0lnQdEgZlXarw%2BLRVBaTZ4o3opu9XOVQALCVK9%2BaqxkjcTDGT12RqKQBG1Z4eIDgMAEevvlVyGc2%2FYKRScYc8033pmHIxbq1crgZWxPrm4qwyc%2F1CN9D7kCnwfldtxTOPRRxc4j3biuOLqyKOEmGy0apCptTJa7RYRxnTc3yvlFYxWpdRBrDZnPIQvjuYQUQ0QgkgIredTchnOo5PRGufWZH3Y%2BVmPceDUZ12Ac1ld5zt%2FBF1G60MOqkA1CLxZjdPVlo01zkOpM%2BU4b9kpa5oxGyf7%2FGQ2qz5UCyrLyoaSp1V6KKVtKfvirkNEDWCH1khlL74u8Trnl3oTTqXIOXBnbw0mTgSdQ6bXg4zeh7wePrZX0%2FjVsF%2BS8UhqoPEppFhlNkaEAKA3cJJtvi3oYCfWY4a73BUu1Q%2Bri8JBWj0UjbP%2BXsllOPfCRtc7PJ3L%2B8RKMXsd8%2BOKKzgngMmqJ4TWh1xBtSq%2FHtL4j1uyC4vxUiRV449ZKVa5DfNBecmDjHcpjh9FYyM81VSHg5S7XHZXPJBVMe9J2JgXQ0Rvi8ZZf2%2FIARO3Xd93bc5hd4rmOkIYuSASOienWisBf7J2F%2Bl9yMF8oTAfHNHrHHGGq8MOMY5Qqs6D4SqApHUDlY1Uq803IPNGM46xOb3S60F9JIHd5Wa7K%2B5vjcj8B%2Bdbxei9SbE1FPb3yrD%2B3r14ESgmzR%2BUE93xaQC1u8q8D1neA4%2FxOmO%2FUHAqBo67AmKcnMK4B0qIspFqlVY3AGysanRzTgJrppx2l8vvige7W7pmeTPAjGddG%2Br394L19751nJzCFeDpsrEPucjmZ%2BdK%2BIxFhjAbKVZpxYK1osO56MGDlLtcdlc8sFVn%2BHQABKdl735Cf%2B9bwtUQwOBB1g%2BGiYfZSLVKFxuXyBwn5S6X3RUPbpWcJgkx1JS9%2Bwn9vW8lZ82xB1%2BfiU4ZEOYNCqablDXqLlfXGuz1M3kvRJ7vZKt5cqu51Ty51Ty51Ty51Ty51Ty51dxqntyqe5W%2BrZP3A3dhd4g6NrpkSqc7BibV%2FgjtM4twDXRsjIyxYXMI9dUcn7Lk1VdfVd%2FexFSAA18nOXs%2F8GGrhoUF1KzDxOyVbAAvMKv34RNkSGdxbGyxY%2Bb%2F%2Bs84xFKCefnoFoCUngEebT3LoppfjM265ZZb1Lc3Ma94IgbcItsUxlPWSWZWk%2Fty8fyMBXgzzzN5lSkAaH%2BNDdTwx2jM1aC7iDCLrpE%2F0XLZ86kBNZd4mvuwiv5f%2FAwt2sb5yGrV9d3kA8b3GfUN9Yus0YdvTzrn6ySbrZYAWEJYAEqs6tGjkDG8iBrjj8Mj1oh1N71g8xZ6dTLg%2FHvvk1w75Ot13JexOUCoMNvFViQVFzJYnZubU9%2F44svmAyb6ptNCFWHM%2FVvvT9p%2BkdFqtE4y36DIqi%2BtHo6a%2FGp6X64AgNtuAwBBsawB3tnpf6e%2F6Ih%2BE8DCC9p1%2BAjaaABAFUdM%2FE%2F9Zcm1C8%2FHPw5UiMUF4GY8VoWY96zXZfuIQLWQwSoA9S198WX3BqRAH8AN7TBadAv8L36%2Fhp28lO1YbTDbKuaO1cgq%2FKFIJ1yXrwGrrLLzrHX661PsRbfUbQKsTBfWu%2FHRNoAfs9Dl%2FI87KxZ7HWwCm8o1270Zr6vB6T8ddRkqqZmtmhdf5qsJTmktOoVJQCw7hl3%2F09jJV7JZ%2FWAJKsUUq%2FrfgG4AwFNP8fV%2Bj27nttvkV%2F1Qsi4egcwXY%2FzyjxKssFqLVB7Edae%2B9gBQb17Hgzfz49v8d%2FAXiUKuUkLjV4FfbaBkasYDipUYhdj9h7T8QhHe2%2F820TrtzyqX2kjSyhYX7QHmXf%2Bz6KfRzGS1UT4FlXtSra6ryevJ%2Fbp0224ols96zxchU9c3bwrX7wSA10llro7umXcA9TNd1Odi3Jf8E%2BTHOLk1fMZpt53PoObqUtsA2kpryrFakVJPFivqHjijVSa1Ol2VWolpZVKJkqwGHqI8SZmsfrADFXzRZJWvnyyDaoH166afgXuHEMY7wzfvhVUA6N2Mz1i4f0KIiadgndH4kY9b6HU1fh%2FaPXr8ceq1tcWwi965ZQDL57xilmM1%2BszJb9b023sPO9Hu9uqA36n4QDum7gLkbipUgQvEtTKpBCTcqI6KMN4ns1ktPwqVapNb5Vqj62q1wPqB0626dv%2Fm52mHLeiOBypyRHvqbUwtLEyhPezEeRXAn22hGuMdeB%2BLtvpjHjqx%2BqdXZfXK6ul20rHK%2B2%2FDjxTFhIwKwLoiZEbJ2Nb%2BOFvnVH3TtUYbzy35ScveVvCJbFZbUMGXs7yzKURWC0OsHzjdqn18a1rMzwvWDP2xBsZ7D7GVyclZnnzyHe94cnLZ0Xhh8vfwR1%2FU1s4%2BiSj880rLTYrelzeXsxyr0lpAFIyyNd1hXuS6XEeYepmvc6q%2B6c%2BBVYLSKqVyTc9ls3ofVKxeyjrJrBeC9c2mWD0%2B3CQKAmJpPrNVJlisDlFveWJiuUfE%2BGv4B804ryCWCsXSmBfzjf3%2Fbiku1Y2k8pzZ8ABv4wwNFBGlwF4HTYFtDuFks1qDyvNp6yRzq6pvlm%2Fe6ip7uzTs7NFlTGKkTNmzIgKNBCIWbXg6oGA6bclrngJbG9gYZ2VUiNEVh96sCCmdwYQnMCpUmJtC4YB7IRz67kneC5Ent5ont5ont5ont5pbzZNbzZNbzZNbzZNbXZhaiIPcagtRii5ljQsYJy%2B4rnn3dlGkNzH4KFomHIbz0liR9T8fKF%2BcmlqUnMcdA7qUKXt0xNqAbZgeWu3%2FwFfRz4%2BQKa2rLUOTAYoV0%2FK0tg1qceFu7SzMi58i4Ul2i6a9VUzYIWiimdnqm7%2Fu8amv3XPna5LzHEFjck6C9P7kvZrRhICBhVZFNPYw%2BnmYWNzSGH7lGjR6yrhW47OwJbfxLOm53%2FspZhX4w8AFcXTDcJh1pn7jDRAL3viNqY7RK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<h1 class="title">PML course project</h1>
<h4 class="author"><em>Dmitry Sherbina</em></h4>
<h4 class="date"><em>Saturday, October 25, 2014</em></h4>
</div>
<p>load data and libraries</p>
<pre class="r"><code>library(caret); library(nlme); library(class)</code></pre>
<pre><code>## Loading required package: lattice
## Loading required package: ggplot2</code></pre>
<pre class="r"><code>D=read.csv('pml-training.csv')
T=read.csv('pml-testing.csv')
names(D)</code></pre>
<pre><code>## [1] "X" "user_name"
## [3] "raw_timestamp_part_1" "raw_timestamp_part_2"
## [5] "cvtd_timestamp" "new_window"
## [7] "num_window" "roll_belt"
## [9] "pitch_belt" "yaw_belt"
## [11] "total_accel_belt" "kurtosis_roll_belt"
## [13] "kurtosis_picth_belt" "kurtosis_yaw_belt"
## [15] "skewness_roll_belt" "skewness_roll_belt.1"
## [17] "skewness_yaw_belt" "max_roll_belt"
## [19] "max_picth_belt" "max_yaw_belt"
## [21] "min_roll_belt" "min_pitch_belt"
## [23] "min_yaw_belt" "amplitude_roll_belt"
## [25] "amplitude_pitch_belt" "amplitude_yaw_belt"
## [27] "var_total_accel_belt" "avg_roll_belt"
## [29] "stddev_roll_belt" "var_roll_belt"
## [31] "avg_pitch_belt" "stddev_pitch_belt"
## [33] "var_pitch_belt" "avg_yaw_belt"
## [35] "stddev_yaw_belt" "var_yaw_belt"
## [37] "gyros_belt_x" "gyros_belt_y"
## [39] "gyros_belt_z" "accel_belt_x"
## [41] "accel_belt_y" "accel_belt_z"
## [43] "magnet_belt_x" "magnet_belt_y"
## [45] "magnet_belt_z" "roll_arm"
## [47] "pitch_arm" "yaw_arm"
## [49] "total_accel_arm" "var_accel_arm"
## [51] "avg_roll_arm" "stddev_roll_arm"
## [53] "var_roll_arm" "avg_pitch_arm"
## [55] "stddev_pitch_arm" "var_pitch_arm"
## [57] "avg_yaw_arm" "stddev_yaw_arm"
## [59] "var_yaw_arm" "gyros_arm_x"
## [61] "gyros_arm_y" "gyros_arm_z"
## [63] "accel_arm_x" "accel_arm_y"
## [65] "accel_arm_z" "magnet_arm_x"
## [67] "magnet_arm_y" "magnet_arm_z"
## [69] "kurtosis_roll_arm" "kurtosis_picth_arm"
## [71] "kurtosis_yaw_arm" "skewness_roll_arm"
## [73] "skewness_pitch_arm" "skewness_yaw_arm"
## [75] "max_roll_arm" "max_picth_arm"
## [77] "max_yaw_arm" "min_roll_arm"
## [79] "min_pitch_arm" "min_yaw_arm"
## [81] "amplitude_roll_arm" "amplitude_pitch_arm"
## [83] "amplitude_yaw_arm" "roll_dumbbell"
## [85] "pitch_dumbbell" "yaw_dumbbell"
## [87] "kurtosis_roll_dumbbell" "kurtosis_picth_dumbbell"
## [89] "kurtosis_yaw_dumbbell" "skewness_roll_dumbbell"
## [91] "skewness_pitch_dumbbell" "skewness_yaw_dumbbell"
## [93] "max_roll_dumbbell" "max_picth_dumbbell"
## [95] "max_yaw_dumbbell" "min_roll_dumbbell"
## [97] "min_pitch_dumbbell" "min_yaw_dumbbell"
## [99] "amplitude_roll_dumbbell" "amplitude_pitch_dumbbell"
## [101] "amplitude_yaw_dumbbell" "total_accel_dumbbell"
## [103] "var_accel_dumbbell" "avg_roll_dumbbell"
## [105] "stddev_roll_dumbbell" "var_roll_dumbbell"
## [107] "avg_pitch_dumbbell" "stddev_pitch_dumbbell"
## [109] "var_pitch_dumbbell" "avg_yaw_dumbbell"
## [111] "stddev_yaw_dumbbell" "var_yaw_dumbbell"
## [113] "gyros_dumbbell_x" "gyros_dumbbell_y"
## [115] "gyros_dumbbell_z" "accel_dumbbell_x"
## [117] "accel_dumbbell_y" "accel_dumbbell_z"
## [119] "magnet_dumbbell_x" "magnet_dumbbell_y"
## [121] "magnet_dumbbell_z" "roll_forearm"
## [123] "pitch_forearm" "yaw_forearm"
## [125] "kurtosis_roll_forearm" "kurtosis_picth_forearm"
## [127] "kurtosis_yaw_forearm" "skewness_roll_forearm"
## [129] "skewness_pitch_forearm" "skewness_yaw_forearm"
## [131] "max_roll_forearm" "max_picth_forearm"
## [133] "max_yaw_forearm" "min_roll_forearm"
## [135] "min_pitch_forearm" "min_yaw_forearm"
## [137] "amplitude_roll_forearm" "amplitude_pitch_forearm"
## [139] "amplitude_yaw_forearm" "total_accel_forearm"
## [141] "var_accel_forearm" "avg_roll_forearm"
## [143] "stddev_roll_forearm" "var_roll_forearm"
## [145] "avg_pitch_forearm" "stddev_pitch_forearm"
## [147] "var_pitch_forearm" "avg_yaw_forearm"
## [149] "stddev_yaw_forearm" "var_yaw_forearm"
## [151] "gyros_forearm_x" "gyros_forearm_y"
## [153] "gyros_forearm_z" "accel_forearm_x"
## [155] "accel_forearm_y" "accel_forearm_z"
## [157] "magnet_forearm_x" "magnet_forearm_y"
## [159] "magnet_forearm_z" "classe"</code></pre>
<pre class="r"><code>dim(D)</code></pre>
<pre><code>## [1] 19622 160</code></pre>
<p>there are many variables (160) in data, some are strange: picth</p>
<p><img src="data:image/png;base64,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" title alt width="672" /></p>
<p>data of 6 users are relatively evenly distributed</p>
<pre class="r"><code>qplot(X,classe, data = D, color=D$user_name)</code></pre>
<p><img src="data:image/png;base64,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" title alt width="672" /></p>
<p>samples in dataset are groupped by classe and user_name, but not strictly regular. Random sampling is ok for further slicing.</p>
<p>we want to predict one of five possible outcome in variable “classe”</p>
<pre class="r"><code>plot(D$classe)</code></pre>
<p><img src="data:image/png;base64,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" title alt width="672" /></p>
<p>Classe A is most probable of them, but comparable, i.e. of the same order</p>
<div id="preprocessing" class="section level2">
<h2>Preprocessing</h2>
<p>change categorical output into numbers</p>
<pre class="r"><code>Out=predict(dummyVars(~classe, data=D),newdata=D)
head(Out)</code></pre>
<pre><code>## classe.A classe.B classe.C classe.D classe.E
## 1 1 0 0 0 0
## 2 1 0 0 0 0
## 3 1 0 0 0 0
## 4 1 0 0 0 0
## 5 1 0 0 0 0
## 6 1 0 0 0 0</code></pre>
<p>some variables seem not much useful for prediction, such X or raw.timestamp.part.1</p>
<pre class="r"><code>N=subset(D, select = -c(X, user_name, cvtd_timestamp, raw_timestamp_part_1, raw_timestamp_part_2, cvtd_timestamp, new_window, num_window, classe))
#N=data.frame(N,Out)</code></pre>
<p>many variables are dependent of each other, for example space coordinates of body points, e.g. as seen for arm magnet</p>
<pre class="r"><code>qplot(magnet_arm_x,magnet_arm_z, data=D, color=classe)</code></pre>
<p><img src="data:image/png;base64,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" title alt width="672" /></p>
<pre class="r"><code>sum(complete.cases(N))/ dim(N)[1]</code></pre>
<pre><code>## [1] 0.02069106</code></pre>
<p>also only a fifth of samples are complete</p>
<p>so some dimension reduction will be useful, also remove near zero variated vars</p>
<pre class="r"><code>N=subset(N, select=!is.na(N[1,]))
nzv = nearZeroVar(N,saveMetrics=TRUE)
N=subset(N, select=!nzv$nzv)</code></pre>
<p>to pick variables to include in a model we will use cross-validation later</p>
<p>now transform data to compensate outliers <img src="data:image/png;base64,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" title alt width="672" /> so data can be converted to 19 components which explain for 0.9 of variation</p>
</div>
<div id="training" class="section level2">
<h2>Training</h2>
<p>use training method - rpart - Tree-Based Model with cross-validation. This model is suited for categorical output without converting to indicator vars.</p>
<p>methods failed: rf, svm, WM, treebag, oblique.tree, evtree spls gpls svmSpectrumString svmRadialWeights svmRadialCost svmPoly earth bagEarth gcvEarth rpart bagEarth ORFpls rpartCost partDSA gamSpline gamboost glmboost blackboost , not suited: glm,rlm, plsRglm, lmStepAIC,lm</p>
<p>for 12 ICA: bayesglm(.3) widekernelpls(.45)</p>
<p>methods tried for 12 PC: (Accuracy) pls(.37) widekernelpls(.37) kernelpls(.37) rpart(.5) bayesglm(.32) simpls(.37) ?ctree (0.57) plr(.32 “Penalized Logistic Regression”)</p>
<pre class="r"><code>set.seed(555)
classe=D$classe
mo <- train(classe ~.,data=data.frame(N,classe), method="rpart", trControl = trainControl(method='cv')) #, preProcess=c('pca') )</code></pre>
<pre><code>## Loading required package: rpart</code></pre>
<pre class="r"><code>mo</code></pre>
<pre><code>## CART
##
## 19622 samples
## 52 predictor
## 5 classes: 'A', 'B', 'C', 'D', 'E'
##
## No pre-processing
## Resampling: Cross-Validated (10 fold)
##
## Summary of sample sizes: 17660, 17659, 17660, 17658, 17659, 17662, ...
##
## Resampling results across tuning parameters:
##
## cp Accuracy Kappa Accuracy SD Kappa SD
## 0.0357 0.511 0.3634 0.0229 0.0356
## 0.0600 0.429 0.2296 0.0655 0.1102
## 0.1152 0.316 0.0478 0.0404 0.0618
##
## Accuracy was used to select the optimal model using the largest value.
## The final value used for the model was cp = 0.03567868.</code></pre>
<pre class="r"><code>mo$finalModel</code></pre>
<pre><code>## n= 19622
##
## node), split, n, loss, yval, (yprob)
## * denotes terminal node
##
## 1) root 19622 14042 A (0.28 0.19 0.17 0.16 0.18)
## 2) roll_belt< 130.5 17977 12411 A (0.31 0.21 0.19 0.18 0.11)
## 4) pitch_forearm< -33.95 1578 10 A (0.99 0.0063 0 0 0) *
## 5) pitch_forearm>=-33.95 16399 12401 A (0.24 0.23 0.21 0.2 0.12)
## 10) magnet_dumbbell_y< 439.5 13870 9953 A (0.28 0.18 0.24 0.19 0.11)
## 20) roll_forearm< 123.5 8643 5131 A (0.41 0.18 0.18 0.17 0.061) *
## 21) roll_forearm>=123.5 5227 3500 C (0.077 0.18 0.33 0.23 0.18) *
## 11) magnet_dumbbell_y>=439.5 2529 1243 B (0.032 0.51 0.043 0.22 0.19) *
## 3) roll_belt>=130.5 1645 14 E (0.0085 0 0 0 0.99) *</code></pre>
<p>not able readily interpret residuals because of PCA, so the final version is w/o preprocessing</p>
</div>
<div id="check" class="section level2">
<h2>Check</h2>
<pre class="r"><code>R=predict(mo, T)
R</code></pre>
<pre><code>## [1] C A C A A C C A A A C C C A C A A A A C
## Levels: A B C D E</code></pre>
<pre class="r"><code>pml_write_files = function(x){
n = length(x)
for(i in 1:n){
filename = paste0("problem_id_",i,".txt")
write.table(x[i],file=filename,quote=FALSE,row.names=FALSE,col.names=FALSE)
}
}
#pml_write_files(R)</code></pre>
</div>
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