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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>
<p>The data in this assignment can be downloaded from the course web site:</p>
<ul>
<li>Dataset: <a href="https://d396qusza40orc.cloudfront.net/repdata%2Fdata%2Factivity.zip">Activity monitor data</a></li>
</ul>
<p>The variables included in this dataset are:</p>
<ul>
<li><p>steps: Number of steps taking in a 5-minute interval (missing values are coded as NA )</p></li>
<li><p>date: The date on which the measurement was taken in YYYY-MM-DD format</p></li>
<li><p>interval: Identifier for the 5-minute interval in which measurement was taken</p></li>
</ul>
<p>The dataset is stored in a comma-separated-value (CSV) file and there are a total of 17,568 observations in this dataset.</p>
<div id="loading-and-preprocessing-the-data" class="section level2">
<h2>Loading and preprocessing the data</h2>
<pre class="r"><code>unzip("activity.zip")
data <- read.csv("activity.csv")</code></pre>
</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>Start by summing up the number of steps taken each day using the aggregate function. The NA values are removed.</p>
<pre class="r"><code>by_day <- aggregate(steps~date, data = data, sum, na.rm = TRUE)</code></pre>
<p>Make a histogram of the total number of steps taken each day. ggplot2 is used here.</p>
<pre class="r"><code>library(ggplot2)
qplot(steps, data = by_day,
main = "Histogram of total number of steps taken each day", bin = 4000)</code></pre>
<p><img src="data:image/png;base64,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" /></p>
<p>And here’s to find the mean and median total number of steps taken per day</p>
<pre class="r"><code>total_steps_mean <- with(by_day, mean(steps))
total_steps_median <- with(by_day, median(steps))
print(total_steps_mean)</code></pre>
<pre><code>## [1] 10766.19</code></pre>
<pre class="r"><code>print(total_steps_median)</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>A time series plot of the 5-minute interval is plotted on the x-axis. The y-axis shows each interval’s average number of steps over the measurement period.</p>
<pre class="r"><code>ave_step_by_interval <- aggregate(steps ~ interval, data = data, mean,
na.rm = TRUE)
qplot(interval, steps, data = ave_step_by_interval, geom = "line",
ylab = "Average Number of Steps", xlab = "5-minute interval",
main = "Average number of steps per 5 mins interval")</code></pre>
<p><img src="data:image/png;base64,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" /></p>
<p>From the plot, the interval with the maximum average number of steps is around the 800 mins. To find the exact interval:</p>
<pre class="r"><code>with(ave_step_by_interval, ave_step_by_interval[steps == max(steps), "interval"])</code></pre>
<pre><code>## [1] 835</code></pre>
</div>
<div id="imputing-missing-values" class="section level2">
<h2>Imputing missing values</h2>
<p>How many missing values are there in the dataset?</p>
<pre class="r"><code>sum(is.na(data$steps))</code></pre>
<pre><code>## [1] 2304</code></pre>
<p>There are 2304 missing values in the dataset</p>
<p>For each interval, we assume that the missing values can take on the average number of steps for that interval. So We need to make sure there is a data point for the average number of steps for every interval. Previously, we calculated the average number of steps per interval and stored it in an R object, ave_step_by_interval. By comparing the number of unique intervals in ave_step_by_interval, against the number of unique intervals in the original data set, we will be able to know whether all intervals have a value for the average number of steps.</p>
<pre class="r"><code>length(unique(data[, "interval"]))</code></pre>
<pre><code>## [1] 288</code></pre>
<pre class="r"><code>length(unique(ave_step_by_interval[, "interval"]))</code></pre>
<pre><code>## [1] 288</code></pre>
<pre class="r"><code>length(unique(data[, "interval"])) ==
length(unique(ave_step_by_interval[, "interval"]))</code></pre>
<pre><code>## [1] TRUE</code></pre>
<p>Indeed, ave_step_by_interval has the same number of unique intervals as the original data.</p>
<p>Since all the intervals have a mean step value, we can fill in the missing values with the average number of steps. However, average number of steps is a double, while the number of steps itself is a whole number. So I have rounded the average number of steps to the nearest whole number, before filling into the missing values. Code for filling in the missing values:</p>
<pre class="r"><code># Create a copy of the data.frame first
data_filled = data
# Fill in the NAs by iterating through each row in the data.frame
for (i in 1:length(data_filled$steps)) {
# When "steps"" has an NA found in that row
if(is.na(data_filled[i,"steps"])) {
data_filled[i, "steps"] = as.integer(
round(ave_step_by_interval[ave_step_by_interval$interval
== data_filled[i, "interval"], "steps"]))
}
}
# Check that there are no NAs in data.filled
sum(is.na(data_filled$steps))</code></pre>
<pre><code>## [1] 0</code></pre>
<p>All the NAs have been filled in because sum of the NA values in the steps column is 0.</p>
<p>To create a histogram of the total number of steps taken each day, the aggregate function is called once again. The historgram is then drawn.</p>
<pre class="r"><code>by_day_filled <- aggregate(steps~date, data = data_filled, sum)
qplot(steps, data = by_day_filled, bin = 4000,
main = "Histogram of total number of steps taken each day (NAs filled)")</code></pre>
<p><img src="data:image/png;base64,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" /></p>
<p>How did the mean and median differ from the estimates earlier?</p>
<pre class="r"><code>with(by_day_filled, mean(steps)) - total_steps_mean</code></pre>
<pre><code>## [1] -0.549335</code></pre>
<pre class="r"><code>with(by_day_filled, median(steps)) - total_steps_median</code></pre>
<pre><code>## [1] -3</code></pre>
<p>The earlier estimate is 0.549335 higher than the filled in means, while median is 3 steps more than the filled in median.</p>
<p>For a clearer comparison,</p>
<pre class="r"><code>compare_df <- data.frame(na.fill.status = c(rep("filled", 2), rep("unfilled", 2)),
measurement = rep(c("mean", "median"), 2),
values = c(with(by_day_filled, mean(steps)),
with(by_day_filled, median(steps)),
with(by_day, mean(steps)),
with(by_day, median(steps))))
xtabs(values ~ na.fill.status + measurement, data = compare_df)</code></pre>
<pre><code>## measurement
## na.fill.status mean median
## filled 10765.64 10762.00
## unfilled 10766.19 10765.00</code></pre>
</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>Finally, differences in weekdays and weekends activity is compared.</p>
<p>When dealing with dates, it is always a favourite of mine to use the lubridate package because the functions are more intuitive.</p>
<pre class="r"><code>str(data_filled$date)</code></pre>
<pre><code>## Factor w/ 61 levels "2012-10-01","2012-10-02",..: 1 1 1 1 1 1 1 1 1 1 ...</code></pre>
<p>“date” is a factor. Let’s turn it into a date, and categorized it into weekend or weekday</p>
<pre class="r"><code>library(lubridate)</code></pre>
<pre><code>## Warning: package 'lubridate' was built under R version 3.1.3</code></pre>
<pre class="r"><code>data_filled$date <- ymd(data_filled$date)
# wday() returns a value from 1 to 7, with Sunday being a 1.
# Therefore when wday() equals 7 or 1, it is a weekend.
weekday_or_weekend <- ifelse(wday(data_filled$date) %in% c(1, 7), "weekend", "weekday")
activity.pattern <- data.frame(data_filled, weekday_or_weekend)
# Averaging the steps according to the interval and weekday/weekend
average_steps <- aggregate(steps ~ weekday_or_weekend + interval, data = activity.pattern,
mean)
# plot the graph
qplot(interval, steps, data = average_steps, facets = weekday_or_weekend~.,
geom = "line")</code></pre>
<p><img 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" /></p>
<p>Weekday activity peaks at 835 mins, with lower peaks after that. Weekend, on the other hand, though does not peak as high as during weekday, showed a more uniform period of activity from 800 mins to 2000 mins</p>
<p>My preferred plot to show the difference, is by overlaying both plots</p>
<pre class="r"><code>qplot(interval, steps, data = average_steps, color = weekday_or_weekend,
geom = "line")</code></pre>
<p><img src="data:image/png;base64,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" /></p>
<p>It can be seen clearer that weekends may have more activity than weekdays.</p>
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