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PA1_template.html
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<!DOCTYPE html>
<html xmlns="http://www.w3.org/1999/xhtml">
<head>
<meta charset="utf-8">
<meta http-equiv="Content-Type" content="text/html; charset=utf-8" />
<meta http-equiv="Content-Style-Type" content="text/css" />
<meta name="generator" content="pandoc" />
<meta name="author" content="Elvis Zhang" />
<title>Assignment for Reproducable Research</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">Assignment for Reproducable Research</h1>
<h4 class="author"><em>Elvis Zhang</em></h4>
<h4 class="date"><em>Thursday, July 17, 2014</em></h4>
</div>
<div id="loading-and-preprocessing-the-data" class="section level2">
<h2>Loading and preprocessing the data</h2>
<pre class="r"><code>data<-read.csv("activity.csv")
cleaneddata<-na.omit(data)</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>For this part of the assignment, i ignore the missing values in the dataset.</p>
<p>1.Make a histogram of the total number of steps taken each day.</p>
<pre class="r"><code>sum<-tapply(cleaneddata$steps,cleaneddata$date,sum)
hist(sum,main="histogram of the total number of steps taken each day",breaks=10)</code></pre>
<p><img 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" title="plot of chunk drawing the histogram" alt="plot of chunk drawing the histogram" width="672" /></p>
<p>2.Calculate and report the mean and median total number of steps taken per day.</p>
<pre class="r"><code>mean(sum,na.rm=TRUE)</code></pre>
<pre><code>## [1] 10766</code></pre>
<pre class="r"><code>median(sum,na.rm=TRUE)</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>1.Make a time series plot (i.e. type = “l”) of the 5-minute interval (x-axis) and the average number of steps taken, averaged across all days (y-axis)</p>
<pre class="r"><code>avgstep<-tapply(cleaneddata$steps,cleaneddata$interval,mean)
plot(as.character(head(cleaneddata$interval,288)),as.numeric(avgstep),type="l",col="green",xlab="interval",ylab="average steps",main="the average number of steps taken, averaged across all days")</code></pre>
<p><img 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" title="plot of chunk drawing the averaged steps across all day" alt="plot of chunk drawing the averaged steps across all day" width="672" /></p>
<p>2.Which 5-minute interval, on average across all the days in the dataset, contains the maximum number of steps?</p>
<pre class="r"><code>avgstep<-data.frame(interval=head(cleaneddata$interval,288),avgstep=as.numeric(avgstep))
avgstep[avgstep==max(avgstep),1]</code></pre>
<pre><code>## [1] 2355</code></pre>
</div>
<div id="imputing-missing-values" class="section level2">
<h2>Imputing missing values</h2>
<p>Note that there are a number of days/intervals where there are missing values (coded as NA). The presence of missing days may introduce bias into some calculations or summaries of the data.</p>
<p>1.Calculate and report the total number of missing values in the dataset (i.e. the total number of rows with NAs)</p>
<pre class="r"><code>nrow(data)-nrow(cleaneddata)</code></pre>
<pre><code>## [1] 2304</code></pre>
<p>2.Devise a strategy for filling in all of the missing values in the dataset. The strategy does not need to be sophisticated. For example, you could use the mean/median for that day, or the mean for that 5-minute interval, etc.</p>
<p>I decide to replace the unaviable data with the mean for that 5-minute interval.</p>
<pre class="r"><code>replacement<-function(INTV=-1){n<-which(avgstep$"interval"==INTV)
avgstep[n,"avgstep"]
}</code></pre>
<p>3.Create a new dataset that is equal to the original dataset but with the missing data filled in.</p>
<pre class="r"><code>for(i in 1:nrow(data))
{
if(is.na(data[i,"steps"]))
{
data[i,"steps"]<-replacement(data[i,"interval"])
}
}</code></pre>
<p>4.Make a histogram of the total number of steps taken each day and Calculate and report the mean and median total number of steps taken per day.</p>
<pre class="r"><code>sum<-tapply(data$steps,data$date,sum)
hist(sum,main="histogram of the total number of steps taken each day after imputing the missing value",breaks=10)</code></pre>
<p><img 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7QO2n0HZa6A9g/uwMxurdftgA7kpmmGE3/aa6DFaVv8YiOgjSBcNql5V9jO0bgOd3wjxuHsnhrQ5kpd//fgcT//fv86MpmbM6/0IbbGGEPLb35PcTOnBfR6bE93dJ0U0MJNikvbOPoq+qS93ErHZQ+2dtvg8v/9/LOdy/73HY/ivm6sZuPlt9Iq3NG30o8Vl/qz9WuncJiGFnDd3u8/Lt0bWkTjSXBP+WcKV3JvHpSZAlo4uOWZ3VqvOwJazk3L50/8iReRitO29MVLQDuv7l/GHQzoee+13kQwOaCXtWou/9brefuBRibzaU+WF9ebtIXlt7+nsJkTA9q4kBMI6Omf7cX1tvHGZchJe/k8X1uLbO+2weUXjnRptIGBC/u6uZrNS739Vbinb8XZUVjqdZsa/z1lAeffB80jXFhE89W9rtLPFB/F3DwoAys5+X2gQwe3PbNb63VPQIu5afv0iT8xoD8Hpm3vi9e3MQ0YnCfQcPsNZBTkOL0ed3Bz7I++ZkB3D1a6z2YTbhGPJaAR5acy1Vny4L5GbjoBvR7VJEeYZxPQiCR7beGAvkBuWk/he294Kt7PBRqSpKAu202OB1yLHtyXyE0roN23VCU4wjybgE50ucifoBeLHtyXyE37IlLnfbNOC24S0Ik+EvVi2YP7CrnpXIVvvSm18KYC6BDQiT7y9HPpg/sCuem9jan9gR24QUAnOp5hOfbY4gc3fW6G3wcKwCgBBQgSUIAgAQUIElCAIAEFCBJQgCABBQgSUIAgAQUIElCAIAEFCBJQgCABBQgSUIAgAQUIElCAIAEFCBJQgCABBQgSUIAgAQUIElCAIAEFCBJQgCABBQgSUIAgAQUIElCAIAEFCBJQgCABBQgSUIAgAQUIElCAIAEFCBJQgCABBQgSUIAgAQUIElCAIAEFCBJQgCABBQgSUIAgAQUIElCAIAEFCBJQgCABBQgSUIAgAQUIElCAIAEFCBJQgCABBQgSUIAgAQUIElCAIAEFCBJQgCABBQgSUIAgAQUIElCAIAEFCBJQgCABBQgSUIAgAQUIElCAIAEFCBJQgCABBQgSUIAgAQUIElCAIAGlSpslPXvjeBkCSoUWzaeAMhsBpUKLNk5AmY2AUiEBJQcBpUICSg4CSoUElBwElAoJKDkIKBUSUHIQUCokoOQgoFRIQMlBQKmQgJKDgFIhASUHAaVCAkoOAkqFBJQcBJQKCSg5CCgVElByEFAqJKDkIKBUSEDJQUCpkICSg4BSIQElBwGlQgJKDgJKhQSUHASUCgkoOQgoFRJQchBQKiSg5CCgVEhAyUFAqZCAkoOAUiEBJQcBpUICSg4CSoUElBwElAoJKDkIKBUSUHIQUCokoOQgoFRIQMlBQKmQgJKDgFIhASUHAaVCAkoOAkqFBJQcBJQKCSg5CCgVElByEFAqJKDkIKBUSEDJQUCpkICSg4BSIQElBwGlQgJKDgJKhQSUHASUCgkoOQgoFRJQchBQKiSg5CCgVEhAyUFAqZCAkoOAUiEBJQcBpUICSg4CSoUElBwElAoJKDkIKBUSUHIQUCokoOQgoFRIQMlBQKmQgJKDgFIhASUHAaVCAkoOAkqFBJQcBJQKCSg5CCgVElByEFAqJKDkIKBUSEDJQUCpkICSg4BSIQElBwGlQgJKDgJKhQSUHASUCgkoOQgoFRJQchBQKiSg5CCgVEhAyUFAqZCAkoOAUiEBJQcBpUICSg4CSoUElByWDuj75uzrwkvihQgoOSwa0O2mTUO5j4CSw4IB/fFt0/XLn8stjhcioOSwXED/+b1dzL9/2/33r38ttjxeiICSw3IB/ejlcp/Ut8WWxwsRUHJYLqDv/SfsuwehXgblDgJKDosFdPdw83vvi1vP4bmHgJLDYgHdPdrsP13/cBmJewgoOQgoFRJQcvAUngoJKDm4iESFBJQcHv02pv6jUugRUHJ48BvpvQTKPQSUHBb8KOehmG1f/lhucbwQASWHRW8m8t7ppxdAuY+AkoPb2VEhASWHim6o3HvCb6KvloCSQ90BNdNXSkDJoaKA9pnpayWg5LBoQA+3VG68GfSf36e9j8lMXysBJYclA3q+gHS5fCSg3EdAyWHBgF4vwJ8fhAoo9xFQclguoPvn7/v7MW2vBRVQ7iOg5LDkzUROnzvaf6bzWFAB5T4CSg5L3s7u8trn+6mgAsp9BJQcHnND5VNBBZT7CCg5POiO9O+Ha/ECyn0ElBweFNDjrUAFlPsIKDk85DXQn6e/CS+g3EdAyWG5q/DbTeuvyv34tvnyfwWUuwgoOSz7PtDmH/D4OLynXkC5g4CSw4KfRNp27gL6IaDcSUDJYcnPwu8L2nwMun9MKqDcQUDJYdG7MfX+NvxWQLmHgJKD+4FSIQElBwGlQgJKDgJKhQSUHASUCgkoOQgoFRJQchBQKiSg5CCgVEhAyUFAqZCAkoOAUiEBJQcBpUICSg4CSoUElBwElAoJKDkIKBUSUHIQUCokoOQgoFRIQMlBQKmQgJKDgFIhASUHAaVCAkoOAkqFBJQcBJQKCSg5CCgVElByEFAqJKDkIKBUSEDJQUCpkICSg4BSIQElBwGlQgJKDgJKhQSUHASUCgkoOQgoFRJQchBQKiSg5CCgVEhAyUFAqZCAkoOAUiEBJQcBpUICSg4CSoUElBwElAoJKDkIKBUSUHIQUCokoOQgoFRIQMlBQKmQgJKDgFIhASUHAaVCAkoOAkqFBJQcBJQKCSg5CCgVElByEFAqJKDkIKBUSEDJQUCpkICSg4BSIQElBwGlQgJKDgJKhQSUHASUCgkoOQgoFRJQchBQKiSg5CCgVEhAyUFAqZCAkoOAUiEBJQcBpUICSg4CSoUElBwElAoJKDkIKBUSUHIQUCokoOQgoFRIQMlBQKmQgJKDgFIhASUHAaVCAkoOAkqFBJQcBJQKCSg5CCgVElByEFAqJKDkIKBUSEDJQUCpkICSg4BSIQElBwGlQgJKDgJKhQSUHASUCgkoOQgoFRJQchBQKiSg5CCgVEhAyUFAqZCAkoOAUiEBJQcBpUICSg4CSoUElBweEtC/f9vs/PrX1J8z09dKQMlhsYDuonku5vvm5OvEMcz0tRJQcnhAQC/9nPwg1ExfKwElh+UD+rEL5/fTVyY+BjXT10pAyWHxgO7++cufp69tN1/+mDKGmb5WAkoOiwf04/T4c++f36c9BDXT10pAyWHxgLYedW6nvQpqpq+VgJLD4gF9bwb04/p0/h5m+loJKDk8IKCNZgoodxFQcnjsU3gB5S4CSg6PuIj0dvniu9dAuYeAksPiAW1eeW9ekb+Hmb5WAkoO/YD+/d8nf2a95Pj5910wL9XcpXTaM3gzfbUElBwKAZ38gaGiU0APDtk8fKLz7ebPNZnpayWg5FAO6Gbic+2yS0MPAd1O7qeZvloCSg6l10C3p+5NzN2AH9/Ol+MnP64109dKQMlh4CLSe+Oh46NsCh64eCoioOQweBV+f8kndhvkKAHlTEDJYextTOfXMGe4pBRjpq+VgJLDjfeBnh6HTrsL3WzM9LUSUHIYDej2+lz6KY9CzfS1ElByGA7o9nId6fAwdIa3NU1mpq+VgJLDQEA772Rq3lb+gcz0tRJQchh7H2jjQef75IA2P4nU4G5M3EFAyWHwk0itty/tnsRPfTuTgBInoORQDugcV91/fBNQggSUHEoBnecjnIcSf+7Sk5m+VgJKDovdD/TnoaCfeyhrpq+VgJJDOaDb4+X3v3/73LX3831Eosz0tRJQcigFdP/c+xDQ/cuYn3oH/fZzt3Qy09dKQMmhENDr++Y/PvsZpPPf9Qgy09dKQMmhENBt4yp84C7I3bE+8eNm+loJKDn0A7p7ANp45XP3LP5pN2My01dLQMmh+D7Q5puPtg+8I2iXmb5WAkoOxYA2n3V/POVT8Edm+loJKDkIKBUSUHIovgbafNL+7ik8Dyeg5FC+Cn99EfTjOXcCPTLT10pAyaEQ0MbdRPb/+rxn8Gb6agkoOZQ+ifTRun/STLcWiTDT10pAyaH4WfjGneie9Ofkjsz0tRJQchi4G9PpdshPzaeZvl4CSg5L3s7u08z0tRJQchBQKiSg5CCgVEhAyeHWRaSpf8ZoVmb6WgkoOYz9WWMB5UkElBwKAW2/DVRAeTwBJYdCQN+f+umjJjN9rQSUHG7dUPmpzPS1ElByuHlD5Wcy09dKQMlBQKmQgJJD8Sm8gPJcAkoOxfuBPu8Wym1m+loJKDmU7wdayUNQM32tBJQcSm+k//GtksegZvpaCSg5FC8ieSM9zyWg5CCgVEhAyUFAqZCAkoPb2VEhASUHAaVCAkoOAkqFBJQcRv6o3Jc/fm6f+3YmM32tBJQcigE9XkfaB/SpfxbeTF8tASWHUkCvf9P4ffPUgprpayWg5FAI6D+/bza//vXj2/6Pwj/35spm+loJKDmU/6TH9/3nOfcB3T+Jf94H4830tRJQcij+SY/9paNTQHcPR593IclMXysBJYfB+4GeArp7COqTSDyagJJD8aOc++tG54B+CCgPJ6DkIKBUSEDJ4eZT+HevgfJwAkoOxYtI+8ecp4DuHo9+ffhKnZnpayWg5FB+G9PXc0D37wl93jvpzfS1ElByKH0S6fDu+UNAt5vNM/+6h5m+VgJKDiMf5Xz27ZTN9PUSUHIo3kxk/8S9gn6a6asloOQwcDu7U0Kfmk8zfb0ElBzcUJkKCSg5CCgVElByEFAqJKDk4M8aUyEBJQcBpUICSg4CSoUElBzGXwN96u2UzfT1ElByuHURaeujnDyegJLDrYDuHoO6mQiPJqDkcPNtTM98CGqmr5WAksMdAXURiUcTUHIQUCokoORwK6B//+YpPA8noORwI6D7N4X6kx48moCSw+030h//ttxTmOlrJaDkcDug35+wVidm+loJKDncCqg70vMEAkoObmdHhQSUHASUCgkoOQgoFRJQchBQKiSg5CCgVEhAyeGOGyo/73K8mb5WAkoOAkqFBJQcBJQKCSg5lF4D/fHt/PnNfUx9EomHE1ByKAR0V81rND98Fp7HE1ByKAT0vXX/pXd3Y+LhBJQc+gHt/BWkDzdU5uEElByKF5EElOcSUHIoBrR53ejdHel5OAElh+JroI2HoNtnXoY309dKQMmhENAf3y7v+mz86zOY6WsloORQeh/otpK/6GGmr5aAkkPxZiIf7kjPUwkoOQzcjWn/3P3Z+TTT10tAycHt7KiQgJKDgFIhASWHgYDu7yLy5Y+f2+e9B3TPTF8rASWHYkCPd7TbB3TT+lRSwPvlclTgI/Vm+loJKDmUAnq6I+guoPv8faKgrfdDBRpqpq+VgJJDIaD//L7Z/PrXj2/7d4C+f+JK/OlK/ifuymymr5WAkkMhoB+HT28eA/qJj3LuO9ws5uFx7bTXVM30tRJQcih+Fn6fuVNAdxkMXkj66OVyn9RJLwiY6WsloORQvB/o/jHnKaC7h6DB5/Dv/R/cPQid9DKomb5WAkoOg/cDPQc0ej/QU4fbttMezprpayWg5LBYQDv3ZT6aOJiZvlYCSg43n8JHb6gsoMQJKDkULyLtK3cK6NSXLS88hSdOQMmh/Damr+eATr5wfuUiEmECSg6lTyId3j1/COh28ls3r8pvY5r0plIzfa0ElBxGPsr5yTsqF99IP200M32tBJQcijcTObTv03ekb3U49PdBzPS1ElByGLid3Smhn7wj/Xunn24mwn0ElByWvqGy29kRIKDkUHob05P+ElLvCf/GTF+rhQO6rAVXndoU30j/nPvQm4ucCSg5FD/KGXvr/PzMxbVK/BTepF2Vih6B9pmLayWg5FD+JNIn/xDSXMzFtRJQcihdhf/xrZLHoObiWgkoORRfA2170kX5n+biegkoOSwW0MLnkCYPZi6ulYCSg4BSIQElh+U+iVT4q8YCyn0ElBwW/Cjn/jFo8E8in5iLayWg5LDkZ+F3BZ14+6UOc3GtBJQcmgGd/TNIn30/lLm4VgJKDosGdH9H+8+8J99cXCsBJYdyQHcPHT/36uV1xM88BDUX10pAyWHZgH7yIai5uFYCSg4LB/RzzMW1ElByEFAqJKDkIKBUSEDJQUCpkICSg4BSIQElBwGlQgJKDgJKhQSUHASUCgkoOQgoFRJQcugE9NO38JyVubhWAkoOAkqFBJQcBJQKCSg5LHlD5U8zF9dKQMlBQKmQgJKDgFIhASUHAaVCAkoOAkqFBJQcBJQKCSg5CCgVElByEFAqJKDkIKBUSEDJQUCpkICSg+6pxYEAABEiSURBVIBSIQElBwGlQgJKDgJKhQSUHASUCgkoOQgoFRJQchBQKiSg5CCgVEhAyUFAqZCAkoOAUiEBJQcBpUICSg4CSoUElBwElAoJKDkIKBUSUHIQUCokoOQgoFRIQMlBQKmQgJKDgFIhASUHAaVCAkoOAkqFBJQcBJQKCSg5CCgVElByEFAqJKDkIKBUSEDJQUCpkICSg4BSIQElBwGlQgJKDgJKhQSUHASUCgkoOQgoFRJQchBQKiSg5CCgVEhAyUFAqZCAkoOAErVZ0qLrveDgy+4VZ0RtBJSYvKEQUGYjoMTkbVzip/DOiNoIKDF5QyGgzEZAickbCgFlNgJKTN5QCCizEVBi8oZCQJmNgBKTNxQCymwElJi8oRBQZiOgxOQNhYAyGwElJm8oBJTZCCgxeUMhoMxGQInJGwoBZTYCSkzeUAgosxFQYvKGQkCZjYASkzcUAspsBJSYvKEQUGYjoMTkDYWAMhsBJSZvKASU2QgoMXlDIaDMRkCJyRsKAWU2AkpM3lAIKLMRUGLyhkJAmY2AEpM3FALKbASUmLyhEFBmI6DE5A2FgDIbASUmbygElNkIKDF5QyGgzEZAickbCgFlNgJKTN5QCCizEVBi8oZCQJmNgBKTNxQCymwElJi8oRBQZiOgxOQNhYAyGwElJm8oBJTZCCgxeUMhoMxGQInJGwoBZTYCSkzeUAgosxFQYvKGQkCZjYASkzcUAspsHhLQv3/b7Pz619SfM10qljcUAspsFgvoLprnYr5vTr5OHMN0qVjeUAgos3lAQC/9nPwg1HSpWN5QCCizWT6gH7twfj99ZeJjUNOlYnlDIaDMZvGA7v75y5+nr203X/6YMobpUrG8oRBQZrN4QD9Ojz/3/vl92kNQ06VieUMhoMxm8YC2HnVup70KarpULG8oBJTZLB7Q92ZAP65P5/s2BUutHZ+WNxQCymweENBGMwX0deQNhYAym8c+hR8NaJ/pUrG8oRBQZvOIi0hvly++ew30ZeQNhYAym8UD2rzy3rwifw/TpWJ5QyGgzGbJgG4Ob6G/VHOX0mnP4E2XmuUNhYAym6UDenDI5uETnW83f67JdKlY3lAIKLNZ8m5Ml4YeArqd3E/TpWZ5QyGgzGb529n9+Ha+HD/1ZkymS83yhkJAmY0bKhOTNxQCymwElJi8oRBQZiOgxOQNhYAyGwElJm8oBJTZCCgxeUMhoMxGQInJGwoBZTYCSkzeUAgosxFQYvKGQkCZjYASkzcUAspsBJSYvKEQUGYjoMTkDYWAMhsBJSZvKASU2QgoMXlDIaDMRkCJyRsKAWU2AkpM3lAIKLMRUGLyhkJAmY2AEpM3FALKbASUmLyhEFBmI6DE5A2FgDIbASUmbygElNkIKDF5QyGgzEZAickbCgFlNgJKTN5QCCizEVBi8oZCQJmNgBKTNxQCymwElJi8oRBQZiOgxOQNhYAyGwElJm8oBJTZCCgxeUMhoMxGQInJGwoBZTYCSkzeUAgosxFQYvKGQkCZjYASkzcUAspsBJSYvKEQUGYjoMTkDYWAMhsBJSZvKASU2QgoMXlDIaDMRkCJyRsKAWU2Avpsm7QW3SlZB8+86kwnoM/17Ah+xqK7JevgmVed6QT0ufKebgZ/wugrOCOSEdDnynu6GfwJo6/gjEhGQJ8r7+lm8CeMvoIzIhkBfa68p5vBnzD6Cs6IZAT0ufKebgZ/wugrOCOSEdDnynu6GfwJo6/gjEhGQJ8r7+lm8CeMvoIzIhkBfa68p5vBnzD6Cs6IZAT0ufKebgZ/wugrOCOSEdDnynu6GfwJo6/gjEhGQJ8r7+lm8CeMvoIzIhkBfa68p5vBnzD6Cs6IZAT0ufKebgZ/wugrOCOSEdDnynu6GfwJo6/gjEhGQJ8r7+lm8CeMvoIzIhkBfa68p5vBnzD6Cs6IZAT0ufKebgZ/wugrOCOSEdDnynu6GfwJo6/gjEhGQJ8r7+lm8CeMvoIzIhkBfa68p5vBnzD6Cs6IZAT0ufKebgZ/wugrOCOSeZWAPvsvVMbVsf8MnmL0zAHNehaNe42ALnpsFlbD/jN4ktHzBjTvWTTuVQJaw1oY3OCpV31Jr7pbBNTgBk8zuoA+fvBxAmpwg6cZXUAfP/g4ATW4wdOMLqCPH3ycgBrc4GlGF9DHDz5OQA1u8DSjC+jjBx8noAY3eJrRBfTxg48TUIMbPM3oAvr4wccJqMENnmZ0AX384OME1OAGTzO6gD5+8HECanCDpxldQB8/+DgBNbjB04wuoI8ffJyAGtzgaUYX0McPPk5ADW7wNKML6OMHHyegBjd4mtEF9PGDjxNQgxs8zegC+vjBxwmowQ2eZnQBffzg4wTU4AZPM7qAPn7wcQJqcIOnGV1AHz/4OAE1uMHTjC6gjx98nIAa3OBpRhfQxw8+TkANbvA0owvo4wcfJ6AGN3ia0fP+ceC8g48TUIMbPM3oAvr4wccJqMENnmZ0gz9+8HECanCDpxnd4I8ffJyAGtzgaUY3+OMHHyegBjd4mtEN/vjBxwmowQ2eZnSDP37wcQJqcIOnGd3gjx98nIAa3OBpRjf44wcfJ6AGN3ia0Q3++MHHCajBDZ5mdIM/fvBxAmpwg6cZ3eCPH3ycgBrc4GlGN/jjBx8noAY3eJrRDf74wccJqMENnmZ0gz9+8HECanCDpxnd4I8ffNzSAX2/3Crr6/QfFlCDZxs88aobPGDRgG47txuc2lABNXi2wROvusEDFgzoj2+9G7b+8uekEQTU4NkGT7zqBg9YLqD//N4u5t+/7f7717+mDCGgBs82eOJVN3jAcgH96OVyn9S3KUMIqMGzDZ541Q0esFxA3/tP2HcPQie9DCqgBs82eOJVN3jAYgHdPdz83vvidtpzeAE1eLbBE6+6wQMWC+ju0Wb/6frH2GWkT/yZwBn/MCGQTrBSnyegQHbBSn1e1U/hAWpW9UUkgJo9+m1M/UelAEk9+I30Ez+KBFCxBT/KeShm25c/llscwIMtejOR904/vQAKvJKqb2cHULOqb6gMUDMBBQgSUIAgAQUIElCAIAEFCBJQgCABBQgSUIAgAQUIElCAIAEFCBJQgCABBQh6lYAu+if/gM96diKW8RoBffbcAG54diSW8SoBffYaPMhaNnQt22lDsxPQVNayoWvZThuanYCmspYNXct22tDsBDSVtWzoWrbThmYnoKmsZUPXsp02NDsBTWUtG7qW7bSh2QloKmvZ0LVspw3NTkBTWcuGrmU7bWh2AprKWjZ0LdtpQ7MT0FTWsqFr2U4bmp2AprKWDV3LdtrQ7AQ0lbVs6Fq204ZmJ6CprGVD17KdNjQ7AU1lLRu6lu20odkJaCpr2dC1bKcNzU5AU1nLhq5lO21odgKaylo2dC3baUOzE9BU1rKha9lOG5qdgKaylg1dy3ba0OxeI6AATyCgAEECChAkoABBAgoQJKAAQQIKECSgAEECChAkoABBAgoQJKAAQQIKECSgAEECChAkoABBAgoQJKAAQQIKECSgAEECChAkoABBAgoQJKAAQQIKECSgAEECChD0AgH9+7fNzvdnr8Ys/vl9c/F2+lp/++75SsX+/u2XP5v/Fdm8FBvc3NCXPbI/vu1X8Msf16+88BHtyx/Q99OsbB7CtI6zqHWa9bfvnq9UbJeSRkBjm5dig1sb+qJH9rpZl0194SNakD6g203vCCb2cT3LTqdZf/vu+UrN3purGdu8HBvc2tDXPLLNXwunNXzlI1qQPaD7JxC//nWcn1+fvTKft70+vzvqb989X6nY4ans5SSJbV6KDW5v6Ise2X33Ds+6389r+MJHtCh7QN8bhyDbo/+C9+4v4P723fOVeh1fMWs+3QtsXoYN7mzoax7Z/QPQ06+F7WljX/eIliUP6O4INp4EpHsFumv3qGX/e/iqv333fKVah2d8//n60mBs8xJscHdDX/TIflwfL+4fcL+98BEdkjygu19YX6//2p6iCe0mUvsJTH/77vlKtfbP+N4a11Zim5dgg7sb+qJHtlm790NAX/aIDkke0MYRbF/czWn3G/3t8ODl/DSmv333fKVa2/150ljJ2OYl2ODuhr78kd0HdL9pL3tEh+QP6Pml+d2ez/XqScF28+W/nC5GHn8N97fvnq/UrR3QwOZl2eBmC17+yO5+O+w37LWPaEHygL43rm2+59rzJec3w13Os/723fOVujW6Etu8LBvcDOjLH9nTg8jXPqIF6QPafCtuqj1fsH8h/rgNH5vzfOxu3z1fqVsroJHNy7LBjQ19+SN7funytY9owUsFtPNOu3R2T4POm7ObkPuTr79993ylboMBvXfzsmzwP623G7z0kT1t1Ksf0YKXCmiqX103lGbWa/z6XuMj0KYXPLIfl3e8vvYRLRDQSh1fU3rF2bf2gL7ekb3288WPaEHygCa+fHfDx+E0e8VLmKu8Ct/wckf2fXN96+ZrH9GC5AH9yPsGshuOW9bfvnu+UrfGSsY2L8sGjwb0ZTZ0f33s+hmB1z6iBckDmvgjDDdsP/HBjrqt4ZNIB8NP4V/oyO4/8/+99Z8vfEQLkgc08YdoC9ofyNg/k3nFDxK3L06/8CenBz9y9UJHtnvzj9c+ogXJA/oz721cCi5vBrnepuEFb2XTeX/56967p/1Q+yWPbOPtWScvfUQLsgc0740EC/YvJx3Ps+35fdcveDPFZkBf+u6RnTfSv+CRPd2Cqemlj2hB9oDmvZV1yfEmkkenJzKvdzvv1kuDr3z/8u5vitc7ss3b7G9OLX3lI1qQPqA/s/4xlaLredb4bHB3+5L/QZl1/k2kVzyyzT+Ud92yFz6iBfkDmvXP+Q04/lJvPo15tT9p2Lk4/bp/w7Gzoa93ZJt/Eanxq+F1j2jBCwQU4DkEFCBIQAGCBBQgSEABggQUIEhAAYIEFCBIQAGCBBQgSEABggQUIEhAAYIEFCBIQAGCBBQgSEABggQUIEhAAYIEFCBIQAGCBBQgSEABggQUIEhAAYIEFCBIQAGCBBQgSEABggQUIEhAAYIEFCBIQAGCBBQgSEABggQUIEhAAYIEFCBIQAGCBBQgSEABggQUIEhAAYIEFCBIQAGCBBQgSEABggQUIEhAAYIEFCBIQAGCBBQgSEABggQUIEhAAYIEFCBIQAGCBBQgSEABggQUIEhAyeJjs/f1+B///L758sfxX3982/z618+ff/+2/8d29y3H/7H/t83bs1aWdRBQcthl8uT7/j/LAf3338/fsvuvZm9hEQJKCucgnh9WlgP6b6fv+PJ/f29+MyxEQElh94T8lz9/HsJ5yGUxoMfvObZ2/2/7R60egrIgASWF9/NjyV05920sB3T/z+OLpZd/O/4LLEJASWHbSWE5oMfG7v7t9P92/3Z43ArLEFBS+Oi8olkM6CmWpX+DJQgoOby3LsILKFUQUJLYbpoJFVBqIKCkcXkr03cBpQ4CSiqHiO56KaDUQEDJ4PTmpb1TFN8vAT1doBdQHk9ASeH9fPXoGtDTe+TP7/8UUB5PQEnh4/y59n0v9/+yPV1NOry/SUB5DgElh8vbmE6f6bx+OP5//yagPImAksM/l9uDnF77/Dhfkv9bQHkWASWL02PO6+2V3o81FVCeRkABggQUIEhAAYIEFCBIQAGCBBQgSEABggQUIEhAAYIEFCBIQAGCBBQgSEABggQUIEhAAYIEFCBIQAGCBBQgSEABggQUIEhAAYIEFCBIQAGCBBQgSEABggQUIEhAAYIEFCBIQAGCBBQgSEABggQUIEhAAYIEFCBIQAGCBBQgSEABggQUIEhAAYIEFCBIQAGCBBQgSEABggQUIEhAAYIEFCBIQAGCBBQgSEABgv4/yzSLqklr3UwAAAAASUVORK5CYII=" title="plot of chunk unnamed-chunk-7" alt="plot of chunk unnamed-chunk-7" width="672" /></p>
<p>After imputing the missing valuables, the estimates of the total daily number of steps increase comparing with former estimates made in first part of the assignmeng.</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>1.Create a new factor variable in the dataset with two levels - “weekday” and “weekend” indicating whether a given date is a weekday or weekend day.</p>
<pre class="r"><code>day<-weekdays(as.Date(as.vector(data$date)))
weekend<-c("Saturday","Sunday")
data$weekend<- (day %in% weekend )
data$weekend<-as.factor(data$weekend)
levels(data$weekend)<-c("Weekday","Weekend")</code></pre>
<p>2.Make a panel plot containing a time series plot (i.e. type = “l”) of the 5-minute interval (x-axis) and the average number of steps taken, averaged across all weekday days or weekend days (y-axis).</p>
<pre class="r"><code>data<-split(data,data$weekend)
weekday<-data$Weekday
weekend<-data$Weekend
avgstepofweekday<-tapply(weekday$steps,weekday$interval,mean)
avgstepofweekend<-tapply(weekend$steps,weekend$interval,mean)
plot(as.character(head(cleaneddata$interval,288)),as.numeric(avgstepofweekday),type="l",col="green",xlab="interval",ylab="average steps",main="the average number of steps taken, averaged across all weekday")</code></pre>
<p><img 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" title="plot of chunk unnamed-chunk-9" alt="plot of chunk unnamed-chunk-9" width="672" /></p>
<pre class="r"><code>plot(as.character(head(cleaneddata$interval,288)),as.numeric(avgstepofweekend),type="l",col="green",xlab="interval",ylab="average steps",main="the average number of steps taken, averaged across all weekend")</code></pre>
<p><img src="data:image/png;base64,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