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Course_Project.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 http-equiv="Content-Style-Type" content="text/css" />
<meta name="generator" content="pandoc" />
<meta name="author" content="Guruprasad Sridharan" />
<title>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">Course Project</h1>
<h4 class="author"><em>Guruprasad Sridharan</em></h4>
<h4 class="date"><em>Sunday, July 27, 2014</em></h4>
</div>
<p>Random Forest algorithm implemented in RandomForest R package was used for constructing the classifier. It was the obvious choice since I had very less time to do the assignment and the data had a lot of non-linearity in it. Random Forest is quite advantageous in that not much parameter tuning is necessary to get decent results and is simple to train and use.</p>
<p>Tree based models are able to do well in non-linear classification problems. The idea was to use bagging (eg. Decision Tree, Random Forest) initially and then try boosting approaches (eg. AdaBoost, Stochastic Gradient Boosting). I was only able to test Random Forest due to shortage of time and results were really good. I got 100% classification accuracy on the validation data.</p>
<p>Major steps in model training:</p>
<ol style="list-style-type: decimal">
<li><p>Remove timestamp columns from training and validation datasets.</p></li>
<li><p>Remove columns with a large number of missing values from training and validation datasets.</p></li>
<li><p>Remove columns with nearly zero variance from training and validation datasets.</p></li>
<li><p>Partition training data into train and test data (for cross-validation).</p></li>
<li><p>Train random forest classifier on train data based on variable importance.</p></li>
<li><p>Measure performance on test data.</p></li>
<li><p>Write out predictions on validation data.</p></li>
</ol>
<p>Let me walkthrough the code,</p>
<p>Including libraries</p>
<pre class="r"><code>library(caret)
library(ggplot2)
library(randomForest)</code></pre>
<p>The training data had a lot of columns with empty or NA values. It was important what values were recognized as NA. Reading training and validation data from respective csv files.</p>
<pre class="r"><code>data = read.table("pml-training.csv", sep=",", header = TRUE, na.strings=c("","NA","#DIV/0!"))
validation_data = read.table("pml-testing.csv", sep=",", header = TRUE, na.strings=c("","NA"
,"#DIV/0!"))</code></pre>
<p>Once data is read, timestamp related columns were removed. These columns don’t provide any useful information regarding the output class and were hard to deal with.</p>
<pre class="r"><code>#removing timestamp columns
data <- data[,c(-1,-3,-4,-5)]
validation_data <- validation_data[,c(-1,-3,-4,-5)]</code></pre>
<p>Some of the columns in training data had over 95% NA values. The rest of the columns had no missing values. Moreover, these columns were redundant(derivates of other columns) and didn’t provide much useful information. They were also removed from the data.</p>
<pre class="r"><code>#removing cols with only NA values
ret <- removeColsWithNAs(data)
data <- ret$a
validation_data <- validation_data[,ret$b]</code></pre>
<p>The previous step reduced the number of predictors from 156 to 56. Next step is to remove predictors having very little variance.</p>
<pre class="r"><code>#removing predictors with zero variance
nzv <- nearZeroVar(data)
data <- data[,-nzv]
validation_data <- validation_data[,-nzv]</code></pre>
<p>Partitioning training data into train and test data.</p>
<pre class="r"><code>set.seed(1729)
#partition train data into training and testing data
inTrain = createDataPartition(y = data$classe, p = 0.7, list = FALSE)
training = data[inTrain, ]
testing = data[-inTrain, ]</code></pre>
<p>Plot of yaw_belt vs num_window in training set: <img src="data:image/png;base64,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" title="plot of chunk unnamed-chunk-8" alt="plot of chunk unnamed-chunk-8" width="672" /></p>
<p>The above plot shows the non-linearity of the classification problem.</p>
<p>Plot of mTry vs Out-Of-Bag-Error (for 501 trees):</p>
<pre class="r"><code>#Training a randomForest model
#finding optimal value for mTry parameter
tuneRF(training[,-55], training[,55], nTryTree = 501, plot = TRUE)</code></pre>
<pre><code>## mtry = 7 OOB error = 0.41%
## Searching left ...
## mtry = 4 OOB error = 0.58%
## -0.386 0.05
## Searching right ...
## mtry = 14 OOB error = 0.29%
## 0.2982 0.05
## mtry = 28 OOB error = 0.26%
## 0.1 0.05
## mtry = 54 OOB error = 0.38%
## -0.4444 0.05</code></pre>
<p><img 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" title="plot of chunk unnamed-chunk-9" alt="plot of chunk unnamed-chunk-9" width="672" /></p>
<pre><code>## mtry OOBError
## 4.OOB 4 0.005751
## 7.OOB 7 0.004149
## 14.OOB 14 0.002912
## 28.OOB 28 0.002621
## 54.OOB 54 0.003785</code></pre>
<p>Dimensionality reduction using PCA was avoided since it was too time-consuming on such a large data.</p>
<p>Fitting the model to train data and predicting on test data</p>
<pre class="r"><code>set.seed(223)
model <- randomForest(classe ~ ., data = training, importance = TRUE, ntree = 501)
pred <- predict(model, newdata = testing)</code></pre>
<p>Plot of variables vs overall importance: <img src="data:image/png;base64,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" title="plot of chunk unnamed-chunk-11" alt="plot of chunk unnamed-chunk-11" width="960" /></p>
<p>Confusion Matrix for predictions on test data</p>
<pre><code>##
## pred A B C D E
## A 1673 1 0 0 0
## B 1 1138 7 0 0
## C 0 0 1019 8 0
## D 0 0 0 955 4
## E 0 0 0 1 1078</code></pre>
<p>Overall accuracy and classwise accuracy</p>
<pre><code>## Overall Accuracy = 0.9963</code></pre>
<pre><code>## Accuracy for class A = 0.9994
## Accuracy for class B = 0.993
## Accuracy for class C = 0.9922
## Accuracy for class D = 0.9958
## Accuracy for class E = 0.9991</code></pre>
<p>Information summary on trained model</p>
<pre><code>##
## Call:
## randomForest(formula = classe ~ ., data = training, importance = TRUE, ntree = 501)
## Type of random forest: classification
## Number of trees: 501
## No. of variables tried at each split: 7
##
## OOB estimate of error rate: 0.22%
## Confusion matrix:
## A B C D E class.error
## A 3906 0 0 0 0 0.000000
## B 6 2651 1 0 0 0.002634
## C 0 3 2392 1 0 0.001669
## D 0 0 11 2239 2 0.005773
## E 0 0 0 6 2519 0.002376</code></pre>
<p>Note: Out of sample error rate = 0.22%</p>
<p>Plot of number of trees vs MSE(Mean squared Error)</p>
<pre class="r"><code>plot(model, log = "x")
legend("topright", colnames(model$err.rate), col=1:6, fill=1:6)</code></pre>
<p><img 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" title="plot of chunk unnamed-chunk-15" alt="plot of chunk unnamed-chunk-15" width="672" /></p>
<p>Predictions output on validation data</p>
<pre class="r"><code>pred <- predict(model, newdata = validation_data)
pred</code></pre>
<pre><code>## 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
## B A B A A E D B A A B C B A E E A B B B
## Levels: A B C D E</code></pre>
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