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<!DOCTYPE html>
<html xmlns="http://www.w3.org/1999/xhtml">
<head>
<meta charset="utf-8">
<meta http-equiv="Content-Type" content="text/html; charset=utf-8" />
<meta name="generator" content="pandoc" />
<meta name="author" content="Yilun Zhang" />
<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>
<h4 class="author"><em>Yilun Zhang</em></h4>
<h4 class="date"><em>Wednesday, October 15, 2014</em></h4>
</div>
<div id="loading-and-preprocessing-the-data" class="section level3">
<h3>Loading and preprocessing the data</h3>
<pre class="r"><code>library(ggplot2)
data <- read.csv("activity.csv")</code></pre>
</div>
<div id="what-is-mean-total-number-of-steps-taken-per-day" class="section level3">
<h3>What is mean total number of steps taken per day?</h3>
<pre class="r"><code>x <- tapply(data$steps,data$date,sum,na.rm=T)
hist(x)</code></pre>
<p><img src="data:image/png;base64,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" /></p>
<pre class="r"><code>mean(x)</code></pre>
<pre><code>## [1] 9354.23</code></pre>
<pre class="r"><code>median(x)</code></pre>
<pre><code>## [1] 10395</code></pre>
</div>
<div id="what-is-the-average-daily-activity-pattern" class="section level3">
<h3>What is the average daily activity pattern?</h3>
<pre class="r"><code>y <- tapply(data$steps,data$interval,mean,na.rm=T)
plot(y,type="l")</code></pre>
<p><img src="data:image/png;base64,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" /></p>
<p>From the plot, approximately, interval 100 contains the maximum number of steps.</p>
</div>
<div id="imputing-missing-values-using-mean-steps-of-each-day" class="section level3">
<h3>Imputing missing values (Using mean steps of each day)</h3>
<pre class="r"><code>sum(is.na(data$steps))</code></pre>
<pre><code>## [1] 2304</code></pre>
<pre class="r"><code>full <- data
for (day in unique(full$date)) {
sub <- full[full$date==day,]
if (nrow(sub[is.na(sub$steps)==T,]) > 0){
m <- mean(sub$steps,na.rm=T)
if (is.nan(m)) {
m <- 0
}
full[full$date==day & is.na(full$steps)==T,]$steps <- m
}
}
z <- tapply(full$steps,full$date,sum,na.rm=T)
hist(z)</code></pre>
<p><img src="data:image/png;base64,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" /></p>
<pre class="r"><code>mean(z)</code></pre>
<pre><code>## [1] 9354.23</code></pre>
<pre class="r"><code>median(z)</code></pre>
<pre><code>## [1] 10395</code></pre>
<p>According to the plots, mean values, and median values, the imputation of missing values didn’t impact those statistics since I used the mean number of steps for each day.</p>
</div>
<div id="are-there-differences-in-activity-patterns-between-weekdays-and-weekends" class="section level3">
<h3>Are there differences in activity patterns between weekdays and weekends?</h3>
<pre class="r"><code>full$date <- as.Date(full$date)
full$weekday <- weekdays(full$date) %in% c("Monday","Tuesday","Wednesday","Thursday","Friday")
full[full$weekday == TRUE,]$weekday <- "weekday"
full[full$weekday == FALSE,]$weekday <- "weekend"
full$weekday <- as.factor(full$weekday)
ggplot(full,aes(x=interval,y=steps)) +
geom_line() +
facet_wrap(~ weekday,scale="free") +
labs(y="Number of steps",x="Interval") +
ggtitle("Difference between weekdays and weekends\n") +
theme(plot.title = element_text(lineheight=1,face="bold",
color="black",size=20))</code></pre>
<p><img 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" /></p>
<p>From the plot, we noticed that during the weekdays, activities happen more during early times; during the weekeds, activities happen more duing late times.</p>
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