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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" />
<title>Reproducible Research: Peer Assessment 1</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">Reproducible Research: Peer Assessment 1</h1>
</div>
<div id="pre-initialization" class="section level2">
<h2>Pre-Initialization</h2>
<p>Before going through the calculations and processing of the data, load required libraries, change the current working directory to match where the root folder containing the README, activity and R markdown files (“RepData_PeerAssessment1”). Code chunks will be echoed, specifying the global flag echo=TRUE.</p>
<pre class="r"><code>library(plyr)
library(tools)
library(knitr)
library(markdown)
setwd("~/RepData_PeerAssessment1/")
opts_chunk$set(echo=TRUE)</code></pre>
<p>Should any of the libraries be missing, please issue:</p>
<pre class="r"><code>install.packages("plyr")
install.packages("tools")
install.packages("knitr")
install.packages("markdown")</code></pre>
<p>The report was Knited from the RStudio editor, but can also be knited with:</p>
<pre class="r"><code>knit("PA1_template.Rmd") ## generates md file
markdownToHTML("PA1_template.md", "PA1_template.html") # required for md to html </code></pre>
</div>
<div id="loading-and-preprocessing-the-data" class="section level2">
<h2>Loading and preprocessing the data</h2>
<p>To load the data, the zip file needs to be extracted into the working directory, thus giving a csv file in the working directory. This csv file is then read.</p>
<pre class="r"><code>zip_file <- "activity.zip"
csv_file <- unzip(zip_file)
activity <- read.csv(csv_file)</code></pre>
<p>The variables bundled with the data set are:</p>
<ul>
<li>steps: # steps in a 5-minute interval (NA’s represent missing values)</li>
<li>date: The date on which the measurement was taken (YYYY-MM-DD format)</li>
<li>interval: Id. for a 5-minute interval on a given date</li>
</ul>
</div>
<div id="what-is-mean-total-number-of-steps-taken-per-day" class="section level2">
<h2>What is mean total number of steps taken per day?</h2>
<p>From this part and until specified, the missing values in the dataset will be ignored. To answer the question, the total number of steps per day is calculated and then ploted on a histogram.</p>
<pre class="r"><code>activity_clean <- na.omit(activity)
steps_day <- aggregate(steps ~ date, data = activity_clean, FUN = sum)
hist(x=steps_day$steps, main = "Frequency of steps per day",
xlab="Total number of steps per day", ylab="Frequency")</code></pre>
<p><img src="data:image/png;base64,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" /></p>
<p>Moreover, the mean and the median of the total number of steps taken per day are calculated. The mean of the total number of steps taken per day is:</p>
<pre class="r"><code>mean_steps <- mean(steps_day$steps)
print(mean_steps)</code></pre>
<pre><code>## [1] 10766.19</code></pre>
<p>The median of the total number of steps taken per day is:</p>
<pre class="r"><code>median_steps <- median(steps_day$steps)
print(median_steps)</code></pre>
<pre><code>## [1] 10765</code></pre>
</div>
<div id="what-is-the-average-daily-activity-pattern" class="section level2">
<h2>What is the average daily activity pattern?</h2>
<p>To answer this question, a time series plot of the 5 minute interval and the average number of steps taken is made.</p>
<pre class="r"><code>steps_interval <- aggregate(steps ~ interval, data = activity_clean, FUN = mean)
plot(y=steps_interval$steps, x=steps_interval$interval, type = "l", main = "Plot of avg. # steps taken vs 5-minute interval",
xlab="5-minute interval", ylab="Average # of steps taken")</code></pre>
<p><img src="data:image/png;base64,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" /></p>
<p>From the graph and more particularly the data used to obtain the graph, the 5-minute interval containing the maximum number of steps is:</p>
<pre class="r"><code>max_interval <- steps_interval$interval[which.max(steps_interval$steps)]
print(max_interval)</code></pre>
<pre><code>## [1] 835</code></pre>
</div>
<div id="imputing-missing-values" class="section level2">
<h2>Imputing missing values</h2>
<p>In the previous section, data containing NA’s was left out, and from this point onwards a calculated value will be used to reduce possible bias on calculations.</p>
<p>This is important because the number of missing values (NA’s) in the original dataset is:</p>
<pre class="r"><code>length(activity$steps)-length(activity_clean$steps)</code></pre>
<pre><code>## [1] 2304</code></pre>
<p>or simply calculated as:</p>
<pre class="r"><code>sum(is.na(activity))</code></pre>
<pre><code>## [1] 2304</code></pre>
<p>In order to determine a good strategy for filling in the missing values, let’s take a look of what is the distribution for the missing values.</p>
<pre class="r"><code>act <- subset(activity, is.na(activity$steps))
data_frame_na <- count(act, 'date')
print(data_frame_na)</code></pre>
<pre><code>## date freq
## 1 2012-10-01 288
## 2 2012-10-08 288
## 3 2012-11-01 288
## 4 2012-11-04 288
## 5 2012-11-09 288
## 6 2012-11-10 288
## 7 2012-11-14 288
## 8 2012-11-30 288</code></pre>
<p>From which it can be seen that there are 8 days with all missing values, 0 days have partially missing values, and the rest of the days have all the values. An adequate method to fill in the missing values is then to use the mean and median values for the 5-minute intervals. A weight factor of 0.4 is given to the median and 0.6 to the mean.</p>
<pre class="r"><code>steps_interval_median <- aggregate(steps ~ interval, data = activity_clean, FUN = median)
activity_imput <- activity
activity_imput$steps[is.na(activity_imput$steps)] = round(0.6*as.numeric(steps_interval$steps)+0.4*as.numeric(steps_interval_median$steps))</code></pre>
<p>The histogram of the total number of steps taken each day for the imputed data set is then:</p>
<pre class="r"><code>steps_day_im <- aggregate(steps ~ date, data = activity_imput, FUN = sum)
hist(x=steps_day_im$steps, main = "Frequency of steps per day",
xlab="Total number of steps per day", ylab="Frequency")</code></pre>
<p><img src="data:image/png;base64,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" /></p>
<p>The mean of the total number of steps taken per day is:</p>
<pre class="r"><code>mean_steps_im <- mean(steps_day_im$steps)
print(mean_steps_im)</code></pre>
<pre><code>## [1] 10260.46</code></pre>
<p>The median of the total number of steps taken per day is:</p>
<pre class="r"><code>median_steps_im <- median(steps_day_im$steps)
print(median_steps_im)</code></pre>
<pre><code>## [1] 10395</code></pre>
<p>Using the methodology to imput the missing values, the median and mean values seem to drop to about 95% of the values calculated earlier on. Additionally, the frequency between 5000 and 10000 total steps per day increased considerably.</p>
</div>
<div id="are-there-differences-in-activity-patterns-between-weekdays-and-weekends" class="section level2">
<h2>Are there differences in activity patterns between weekdays and weekends?</h2>
<p>To answer this question, the date in the dataset must be distinguished from weekday and weekend. For this a new column will be appended to the imputed dataset.</p>
<pre class="r"><code>var <- factor(format(as.Date(activity_imput$date), "%u") %in% c(6, 7) == TRUE, labels=c("WEEKDAY","WEEKEND")) ## Saturday should be = 6 and Sunday = 7 in the previous call
activity_imput$daytype <- var</code></pre>
<p>Finally, to visually see the difference between the weekend and weekday behavior, two plots are made. The former contains a time series plot of the 5-minute interval and the average number of steps taken across weekend days, and the latter across weekday days.</p>
<pre class="r"><code>layout(matrix(c(1,1,1,1), byrow = TRUE))
for (type in c("WEEKEND", "WEEKDAY")) {
steps_type <- aggregate(steps ~ interval, data = activity,
subset = (activity_imput$daytype == type), FUN = mean)
plot(y=steps_type$steps, x=steps_type$interval,
type = "l", main = type, xlab="Interval", ylab="Number of steps")
}</code></pre>
<p><img 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