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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" />
<title>Reproducible Research: Peer Assessment 1</title>
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xaXpygKB5dWVlFrb5mQOydwB7i0J6ubFjh7npdh1XXdKUdEAmoj3W5Db4m4QE1LVCapO1XgH2D%2FkB08JF83SNM9ZhZf5I9%2B7Rz8J%2FI3IIfrMb5LHcjByu%2BUvGUKxQ%2FkcaLYdZ40f8JWOkw%2BA4iEBtlYSmddP1HFw%2FdKtShd1YQrncW61ZeqsIAcmYleEIEKAhx1ry8ND6aFh%2F8V9VHtiPdBPGObFcRVTzQgcz40RO7WEpW0ba3k2z3i6zBvlL9xO4ka%2F1EVnLTSa%2Buo%2BmkNzrwWDyPcz4lWOAxAp2%2BTrKORXoPGvm6d5aKpzt50u4573rAOfhP1CUXfpbjl36l4XWpysmXBCr6PbGqqsTnSRvReJFj4Xl9rvYfHFko%2FqPrb9YYEpV1CsKxTiSrXhisap%2F%2BC%2B6uu%2F8CZVz1iWlY7fGdnKxd2eM7WS2lcof2ANfjrBHRsoomvoE%2BuiF%2FpXpsCFnJYVZIVk7UsM85PYeLXYofPYf9H42YsMdtUq%2FMTd79Ho4bf2S7Gq9PVRxDC6lKG1VpVBV9cvFXGr6oVycSFZ%2FauXWquCnKooTpFvcfy0YiWVX%2BI%2FD8UOPXvp%2BE5%2Bom3JHt0IXP6MxS5U%2FAqovYd3l62%2BltAxkkq6q7T7LR3xT%2Bcz8gICtekEZU28Hq3d9JkEXhcfclufMmmZusgqh%2B5ww%2B7k3Vwcd9XbHh1JbiELt3Fu67QYbvmRs%2FCg5by%2Fr3TnRlZXhu7ijl5o6qlZ%2BrQrpkGp3PTVTZFKpwyqWabnH%2Fce5T6T%2Ba%2BNhiV5b7vOiQWG1XNvGNzngqewJWX%2BO7%2BPupIVbDas6n8HPju1ZMXmrvkcJ%2FhQ1Ya89RaqlV9P%2Bu0DacBdfrcx5rlPXMqW5%2B%2FVv8cfLHuP4t%2F6ZgDdhPFR8DGRmRoMk6R6Yc9MgU65TdN%2BKH32y1gyJruJn9x3%2BQ4%2B1zUvkZZYoyqq52HfJR1T3OUca8Ss9VrVhgoR1nngEaUXl%2BEwnEj%2B5Lg7fIsNx%2FsEWwXdT%2BI%2FD8UOO75zqXdKad2WS2XFS9L3XHH%2FH3m9r4nePnO%2F7Ys%2Fk6qErLYy0lJ6agZeeN%2FwwccYGT1QoEPwJqvCIveWiGhaw0jqw4olppFhqa8b%2FC%2BdTSMfJ8SlX%2Fp%2B918A8%2Bor5fxP%2FNTuvM3TtoeHe%2FThlVC9NKslFVNwNc6blq86mEHcyuYlSiOqOvmLPKAkLhPzbxCP6j62%2B9f0qwwjHOiiWI80kKVVktH0mD79lpNHuEPZ9yx6Q3iKpAKUiIS%2BdKK4ZmEpg0z1gZ%2FjhD12TDPydq2A6DMfTF%2FCCSlRZO0fLXPJsLM9o5%2FJ%2BS1UU8jHffrIaAVo2H93qXRX3g%2FV5fZeaqtAxwpeeqH3Trtr4z%2Boo5qyzjqus%2FuvixZ5JszVn3T9bAuDz2jM54qngC1XyGupJhFtiO%2BapVZZeFqvBG9bLT64cJ8zEW2juBk3sMRUbTMA9ggQX%2FxuNExVKRpvwrklXWFA5ZaUTl2d%2FRNOseP4pZYB18QoGHvnMyyNx5aXCbSf9x47s%2BV9Vv%2FQ2nBFacueFU%2BfxH298aemcj%2BAollosRz0QwI9ygM56qmBNbdKZpA5nYorobKAtV1yzEXc4xMjWQ2Xzu%2BE7FzK0BZnfYN3ezIOaa7cYL%2BL91Kw6%2BwooX2cJdqES1Yl3fwkumIJzZeGJX6gvVmzcdfOOV0JL6h1jjlZuVAa78e1Xd1scYiWP5mRhHlc9%2F9PFYhwhrwqz%2BfBOLKP8AaClJVcxhKRb%2FbHAgM5D5bBD67tR1UFX8XUSS8JcpqS8QN340V4kWuHQHNRnlvBhKfbH7Vr8H6fkKWPUwq6eGeuYgy1ZNqcPGOz6%2BR9SZ1V7of6CvfPi4Z0Y6zuSjamFa6bv2XhUpNzRDI2ruGXdyLNC1U%2FVs9fxHH4912DsxkOnMds9tPgd%2FPNEpvw99qvKrPL3r8FZaC3Vl26BE558ratV5h5brrxqrSjZWe2oL%2FbGSS62BPrSGWgP31eFR1ZYP7%2F23Jv5tWjqelgG%2BMe9VoU1C5X6i5fIfCh7GYRjtwIM65C%2FhnJc6S%2F9XnldPHdKgJoWtn6q6WQa0qq4yZuwG%2BY%2FxN2PGjBkzZsyYMWPGjBkzZsyYMWPGjBkzZsyYMWPGjBkzZsyYseVnpcgqGjNm7EYTNd1MEGK0kaUITo7BMiNUZj1D6RBgIRmWfxAO%2FFpHr1Vl6qOHh2WCxTJWwxWpzzycMW1rU6TJ5QMexTRpz5cqLpp7Tvw4WJlhBGp%2BBo7p79qA4m5Bmngs%2F5fXJWZFOsN86VmYRFb3agsKnuuswqLabGc2wig6q2t%2BjKX3TfZN4tc1P6Y0CV1XT7c%2Buvjor4tXpcgXo5daH5QVaUf8fJhRy0f8ShZltOdLW1lj1bW5cG1qRVxmL77HjjgmvE9R%2FzPNIBmL4pz2%2FS4zGXS56nQyJ70tVuA43%2FnhhXCDWLVTsHLHWSNKIav78VHwuOp%2FIIMipCx1YtdARq2zGvoUS986vnXcXu35aXmpqlsfXTwuQ3eviwCdg68rVx9cjSm%2F72K8qp0Ka69yLaEXBOWD7i5NogZ0pBfagNRNqJFxxsqEFfWPwLL%2B09uwHqe3jaYjJJ1eWCSe0SKcjaeJvbvxVmCVVIo0mRsZbeHSfvd3JVC1cDG3mnyFKyZVeNRZBYmKOKvFKsJysjg6o%2BzmrAAX9OBrN1HQg9KAVKq66wPik8r6uPCT1iQBH4jbAtCO9c7Gmb8KgVM%2BfqdTH%2Fyu9bWEasxz4a06Nd5xLnewJl9aLgT0WD2Vqon8Ot6IYncG62CUwRrSIF%2FgCGtkgnsnosow2zrYZMcO3HPU%2FiPwqxhxq40cvmkhMjI00%2FaV%2FG5xiVySOYQtkapLVRdU5HNTVb3sG3VWD28VlUA7vFWus3rbPl76oT28l06y2%2FaVj6ru%2BnC8vD4Cb%2FWFUMG%2FT4XH2hcKkKBASfsT6vpA4Buj1ydHk5BqNakbb68qVa4%2BFe7kXqsqkWWbd4sS5D7Nq8qnh9fhq6ASUbCGlDUMzYSvyueGPCTnI541tkrS2bvxqGrS9jZl7inw218N%2Fe75%2B2RdsdMygrCWQjrAh6pe8igqsjo4SsrB0VkV1VPprIau8tLvS92Xk%2BgMXVU0X8ZyaqQIe9z14TWS14fjYceRL%2B1585dWnQL%2FP5PsR790%2F%2BRHvwQRrA%2FU9YliQHhQVZ%2FkNwJPM6d8qumNqgkP%2F0mw8lE1zh7dUfyzR3fECSoZKDuzd6IZZrcwKtdQ8FVVjzwQWaTGlIj%2F8bZ2hrK8%2FmKhznTC9jV7MiHrLH2pir3s0qaWj5Q6KQe3zmoyT2uZzqoVE5InEAzWijBJLnFcKMQlb2pRH8sWpuLEltWH42E86rbr1I2LlGV43EFndIv7J6NbZDvXuNsHHvmrqvpgcshjZLvsG56mlmoIoIpQuUZV3SSUF1VlSr1JNtlU%2FLPJJlp9qqruehS%2F3vUolXr3DHZmdah6zyC%2Fm3sGfdu%2F353R5d2ebHiTzlX1GloX7%2Bisiscu11nlsp9izM7nFX8lu4aOEJeoD253wLdAkNfHqb%2B4Uzne1nzFunMl2j7LFl%2F1byOn%2FJ452FykRVV%2B%2FwUv3dqB93QSKHKdW71RtRSqWnUDmQP7T287sJ%2FL6B3bIU1yVbtd284wVNPqYwVwRMWR1T8ALqz12mMbzupQde2xzeesGEaAsoCZ%2B7I7D5y8HqqKTF%2B5qaqrs4r5U97TYn24Ui%2BMSl%2FL5w4rGd%2FUaKUyJBf1YbWjaZALrVXVx6m%2FuFM5Pr%2BN0IR9NxOqNnLKB6m1enX53u354H7lm700rf1vxKgKMUqcrYAU0Qq1jF6xzJjjwH6jGB6jaR4AQ964gTXA%2FzUUPFDv2r6dcu8vxEe%2BHv9Z62vgq7WUlzWibUsKgIsTMuWnqp7OqjUswt%2FeP%2FExJx8CD9Nqw5NRlPrAcBdU67668PbGCiq8837RST9I1ded8qspOrT6urVcqfn5%2B%2Bj4So%2BqOjPn0bQXVUcVbylY8MQuzMOLvLHqKgJ%2Faotc974YP33f44mOxUd%2BQXtZI8ZXERIvM6rq6ay2vyHKvOOP%2BD3f70P2ZwTFdQkq1P71dV%2F18N6uK6tRZeuDNcJ3rzr4ys9V6Ybqy0upij9VnFeLGzFqXMfGUzUvHTyrAXo3UF7W8PeqPBMsU6QUvxVqiFVVOPzcEKrq6Kx2LIoyh1%2FG74dfFt%2F7adrru4qu7qseXp%2BqpdYHE1IDGTUeXnak9k5sPkfXuV36Z4X%2B9Xf2vHMO%2BW4LelR1Tz2KPy8Pk9Pb%2FXrGsmM%2B2v4Gzp8YYrYjN9a7Y2eS5mu%2F%2Ft6bVJ1VlwJqkPepKi1UPRVd3fro43V1fa%2BjPt2o2k7QrQ3Z%2BA4dnVsNXeKUBzolL1%2BbDK7rU%2Fd6XTZELtRtroeDrMTsRDdVxowZM2bMmDFjxowZM2bMmDFjxowZM2bMmDFjxowZM2bMmDFjxowZM2bMmDFjBeb6o%2By0Pt5KEzRo61BQha4rq6dBmzsnnUdfrlhLodptTKuFmDVJLn0sd0ZGdafebSRTli2lRY0tO8OVCkMzSS0VYAfPQuvfUp3VeDG%2BiNKTVLFK3ZU7aM6KnDijC0TqWfiqSo2CGxdvO7TnwP7e2RBZwpo1jB9Nss3n5Eu3rMmwTX%2BdtTuaqr4lULqUjgBkOUvuaJT4gG7ntEQYW3qvxWdWaOgsrn8SpSdDAxm6CnAhXk3WKLNXSzKqWKU%2BVVGCxCXi9rBegxCbcDgJy73WXiOQzpbYhBUUKy5Al9TxZ%2BpD6nolyZQaBC1QcgsKloK4S79Y%2F4gKvIWCpm7TwRa3Pr271z2L1ZTe0ajwxWVTFnZSl9cVo5JMl3qq8r3WNSU5VVFTIKKhAlyMV5HVq9nKS9X2J9xomXApF8O0Ckq3lHKYaKHfDZ7unU0wykYMos4oZh1fpFI18QcvyS8vpwJH7%2BQrGPOqi%2FX%2Bo7EOtngJHDEi6L%2F%2Bs6hlU%2FD6CzWFkAqt1jpU9fZmf77wPSuKNxTJURXJp6cCXIyXk7WyVEWioaCnc%2FzgvKzvcsbf3lmuczj6G5UcJoZr7ez5%2B7b%2FraojcFPVijWdBE3gs1SqYquqRNyKW05noTVR0lxzxxrtADVQQkBb8QA4yaiRVjGqFKqipK%2BsJvamNFdzeR5bmse%2BCp930lWAvfEyslaWqrbu7DcFwcI3lIBq78TU0NTQ3olkXn5ZZrftQ6mrX4LAaDthLszH6iaGTa4KaZ0gHqcWFMJVlqq6Gha6AapXcHpzA2A%2B9y%2FWIqTUJ0%2FySZ324drbsueLHBt5BYmKm4AEFqw6G89CemT1w%2FuTtfJUjRf0n3HCo%2B%2BdPdC5iq1iBzqFgrAi%2FL26%2BW2rL74B0S0vUNwd91fBRFHzx7TNkOL%2FNcnu%2Fh83n6q6Ghb6qhf6AW3lAmD0F0j9pR0lQZ3a81a10iHJSLzUm9e%2FpRIXtfdACCJRo7YAeuPFHN6LfOvfklTWB7%2F%2BLe%2BzKk9V%2FV66%2B9KmNvy6qa37EiHI7otDd4QCa9F8aKImBUhkNY5MRVngeRKRjifZxqM3n6olvSrTPEMnQK1sAIyEG5liIXcATLtXVxooBCX40ttDEN%2FmjzQUr4MXg4Hm%2B6O5M1y7%2BhSTD4SzpPvQeOGt9Pq3vM8qjaq9s6e3UUa80qgahTzx6W2nt4UfjhK6g9DfgxxnP9%2BJzB7D%2B6ikuB8SXrEPKUSKfYZ731WOqtaYHXyNUQitm8%2FVPUMnQK18AIwZdXcATLvXglGwRa89kT%2F%2BeCvWeKUNIr7b%2Fpdn%2Fd3kUxHVC%2B9P1NKoauvk14gNLtTBZnFqW%2F3om1ngo8BHzaT9Q8Ps4eeEk20%2BB3vo%2FD0prRSwxlqvJdmdv6dQCbuMB%2FoqR9Xm3F3rB8CVyAAvlwC4OANMFwHUzQB3gbokPzh%2F%2FPFNuSlcxK%2BrEeSjELUYLyOqN1WHZmQ3Jza0EBtcEGgx7wp2AkmSGGaURUlymJjHPZB%2FvTH4d%2FbcXPJXS9YenlZaBcRIEBNL%2FJxn%2FlqJg82hnSQGbaTkeLeLydIgJQWcyw1%2F3Rlgan3UVHVUHIGB9lFKWq%2FoKkg%2BKlHdeGtMRlS%2FEMAf7955hpNV1RTFfwKhLYYpkcO0DmK%2BrmlBqNnzfHFgwb9GrQUbJ8GfH9QrCZjh5zReUbZ5C7R4i85IKZIe7iPEdF6tlT9AXV4ZYEHVUupTiqpxGahqZ55COsVyPGjMhsoZUhVuEYUC1cp61BaU31DOpsspEafyWxUrlW4L6tJN2VgB%2Fkghh6a0uX8w5o3nSQ%2F3gYmUcgacyw2v73NLz6HVpxRV41Iy8MtUCVj9ZwDGtNqzRf0TY8aMGTNmzJgxY8aMGTNmzJgxY8aMGTNmzJgxY8aMGTNmzJgxY8ZujsFqucCyqMe0eRbGjEmI2nhR%2FHG6FDdmTYPuyzRFFsxGn7Euw%2FqXMzQ8LucGaZThkjub4WXQkmmasrIxYyU5%2Bbrm7ksJ6coR7obNoDIUgX%2FNSo1DlOxuxtV32QT8D%2FgMRcKk%2BWOQRvmKgrSGoRNgjuA1djarJcu%2FXfgzuKpUq%2Fx57MRgjX6dmqhhorKyW1sW20ofqz5LDw%2F327dsPDLvLTS%2FWYrnS%2BJoZ1GwrvZM08R4nFand95Qtux%2B0ckDH00N9c6mvpCPkbgwbCAzmsaF1mHFiklUiBnIgGh3SqwTbbyorOjBqK2ZFHhJTaTVuaW4fJ2rVTd4y4ZTvbN%2BMp0C35UdP4prB1cxaw%2Bl%2FL0TQzNd2eM7Wa2VblPeAZe60pFBF%2B0fZbpYyll6%2BDgsJ4J4iTwNEms3SxV4kZ2D3sJd1vkks6V4viSOdhYF67RnmFQjd%2FuTO2%2FwH8n98sJACwjIeqFfVtDa923hbnyiHUjWte%2FLaB3l2FpnLV5UQW6rry2HDCmD4JavQB40nVsq1Dl4S%2BPFxovn1sGysmoFPsUaISwHAaxWdMs6Zfmw1A%2BXwnESbjglb2gUssrpU4QoMuhcUYfLXulhaWfp4fEa7bhGl7gzgLN2s1RVRBlWuGySUcjqhaesV6Vj3e0ZJZJV4OWqZY5xqTSf0p3Cui%2FtvlW%2BEA2lJIZf5p9RFSHC5LQ%2BvLX4EcnVdNd86SDXLMibAkc8FnTfQ%2FelwVvUeFRYbWZ87AO3PKnET9qhr01U2QJ8KHc6zNzjX1jaFQik0%2F5qN3ewtLN08bzlEyC7CkFY382mqnDZJIkaXnhaq1Kx7vakkdXB62qseJTuFObWYPAzFD0R4l6xD%2FEcf2xssSvLl2W7H1HiG9k4HGc4VguHkSv%2BOU3L7wHrL6OqwAeejwCWb%2BgxNHNunWIUmwyhHut0WNncjRfbc4r9yfzXdkXAbCtAXIySZbgcLOUst2PRruI8pyiGwmn1SFZZqnKXpVHDC08VN6Nh3e1JqZE%2BUSVk1SNqVdWGs3w7DEiv2FtiyMLB7rnOrMcjysrG4aEZHKvzAixX6XM3TlQZMQR%2B3dTpbRAmx7uyeycgXK2W45%2B%2BtwuSYu1CS0oSvm845SW3IQ%2BYhYAklapRl5uoz2o6qYcvplJYKSRTeaoW3rN%2FDOSNp%2BsQUrCFRFVnX0T7g%2Bi7psZKz1zR%2FeoStapq306uqNaWU1U7frc%2FtvdPibxomHNz%2FRdk4fXGo32TDjbOKFQNPBbN1V%2BeNMnv3BJiNfj11BbWIKNeTguq9vhOjCU4UWVqRrw3dG%2FnpO5NedvTqepgKWedW6eHL6bS0MzH99x8qrrvwT8G8sbTqUrB5uV13Eenuv3jTO%2FlnZWOF94vfz2jQ1TcoGhkymlmSLrU%2BGPHnoH55tniRzT2jCy87vjz4fWOsmCSRNWew3sneP2jykdfcC81%2BOKJQG0gK9ckalbUSKi8ijPVYQ8ihZAqxakcLOUsoftIv0rSta8PyLiFVF5ReaqibyZJw4kXnkpVGlZ3Vx%2Bn%2FcNM52VNuPh%2BA4%2Fx1zN0oqK9kxCPHLK7QanjNvTO2sFyzN13yaTKNpyNstW%2F7b8g0PKdXDBIwEwlTKoaWDXqkmOoocbnk0CgSEjDgwRai7p8Tlbcyys3V02rwx57%2FK2mqB4XY2ln6eKF4Cq8zuqkyLhVmqrcN2nDiReeGqvQsXqKiPpk9SAqzAw%2FFa9ndOTHWPWR7Tju9cydT6mwWM0I7rA67%2FRdMvzJjV3ZcF6wuCsr8sc%2BwfgTuEGU6NtW2ptF7Xvi5uELkwK0REIuyCaoHi%2FF0s7Sw%2BM1Np%2BDqUHjcnhZI9yVFvd54Sn0o2NLURR0yKrzsqbgfq0AzvC2%2F63q9YzHxSEg7Jk7tkN9HsqD7p0YyHRme%2BY2n4MkTqf8HFZzagv%2BuQF3dXCYWil6xYH9fPotlHcP7Gcrbh7eTVZqxi8fZCtVj72wlLMEyn7Nr8Tb6sUdsmmNl%2FM6X2l4mqMLd7XqaHGfg3I%2Bqemngy3NeKvrvKwput%2Fdt9p50MZSBD0hIOyW08gdBsOsOgX4DopKL2zMFMpJa4fUDsNWQLlu5d0VNxfvNDc14%2Bc4q1r12AtL0UrmKP6cVXiaevGNMXedKV7qoFyf1KOeBvZ6yKrzsqaoY4IGqKkyZszYjeh2qiuHNmbMmDFjxowZM2bMmDFjxowZM2bMmDFjxowZM2bMmDFjxowZM2bMmLEym65O7%2FcNb59Dlp1cnvWvuA8FoEYxnda02A2oVVr3SlbMmlyuNM3p9MYZTaf3%2B4YXZ3EZMXp7JrOdWZ36VAp%2FoyzwEUhYfkStC3XBXMGdZ%2FT3fXj%2BPr0rWbHAAuhkTt7Mrobvb5ETbA24WrRYK0al01sani9qw%2F8rU34yL2pW7vK5OPNKG7tyXq3b7%2Bges9SJXQMZSn1Kxe%2BdoOkq2488o%2B0yGtSwJqNK3aPrpWoUBU%2B19k1A4tGvBCMw4BPgpU%2FfW4n6U4nK97ewh4ZY00JeBg11evllhR6QXKfXwbudXYXvnf1kE67f%2FGQTLrClly%2BEoNR4WEUKomYndtHrT7tftKaTHYtIiiR76CUQO5VrGOd0jzfegd9tvIPFkXzy%2BgidZHthoQbeirVeo9QfhcebFqLajkWnhjUcyoum0UJyXVe3%2Bqw9qF%2B5mtHDU0G8E7uGZij4MAggIB6F2W8eVdc1xxdxfwssH%2BsfX1zXbP8CdXqdy6p1eh28%2B5Dju7K49g7Xb%2BKaPRxZaeX3zn58D6eICg8SMCusPVaM1fK19pTyhQCoSpfYqguz3S%2ByBpvejQ%2B91HpN1tBc9xh6QxTlTMP%2FscNbVfUROhd8awUqXjgitpBcV9maXA0uqO9YVGpYgTULzlNrvUYZi3VcHZQx54MgrZ6XcSeO9m2%2FEsSjL%2FEHUb%2BdlFXYlaMqq0HJvUROWteuP1%2BoGlsUI4wNy400%2Fjq9Dl4canzCFRY1nUwQykf5rYEMEnx8AKmtwsO4wkJXezZbdVFGqb%2B4A7UuMYq0JHFGyA7tObTHAodJSGcpXPeY1Q7N4J41sOofPkPDfyPHw3X2WAHcWqHpJBGfIyo8yAYZHgPfkKtzUsl2uTFUagQ%2BSri6bRgRPiqnq%2BPGI4miKK7pCsnpW0amaMRz16n1NfUc1SpqUcq8liaahugm1%2F0mUOqI47vniptMrtNbGt5RlOGqMSr81BCrhyCvmjukGp%2B0FY9YfdNJlc6wwFsFUYQ%2F3nEQqFG9Wg1I6B7z%2B%2BT33ZmV1Qfx1p5WtopFc0KSBLxD1Fo5vulKVEu2ywurogaX23R1gZ2KGXChq8u3uuoLL6lP7%2ByxHbQsLmuhEFVkiXODT0hNZx0RND0tKe8r2L%2Fo%2FZNoMsF%2FuU6vg3f3L3J8V9ZRbj23DkdJVfkBO5OYJ6oSjweEaiys1Bl28O5m8cez%2Fs8G7Zlwv2WPrKj6JBP14LrHVgxHVBxZ8XNCWh%2FET4cxcOdqOgT8mJuocvyxHY4ibqlUVVNDZ5ycGnILx3Zlp4akQezbmLEYmcKYRugSQyvVliOLW0qWuPJUZf0ndjkt1DMHCUTubajTu9R1%2FXV6Hbz7kOMTtpg%2Fzt0wu5UglG%2FL%2F%2FcJotLq4w5o1XgR8Kt1iVn10AwmkxC37qcdi7tflDU01z1mtdDAMDeH%2F2vXnFXVB%2FAwh7ddEEQ61PjmguSHHM9qsWR30C8XHiue2lCooUdVVvPkU47nPPmUXDKoHXWmu2F0tGMa1V4IelncUrLEhW1D1CvU0je0Arz%2BvCOL4wYsfPqBOr3FaRaZTq%2BDd%2Fe6KnwUXnPg3G3lfJRYPu6WktCqj1793TGBXJcYI4HB0825lAkmmKSPJad7LDLAuFWIqj6ID92OLghjMAGPNYF62COqCm%2FrZ4X2TuCj108rqalRyuyTrRCS7yCCrhCVA6IG8xHFLM7My5fFLSVLXPm00u5bU19g%2FXmKqyub%2BmL3rblfOYrrNJ3e0vAio1Wp8iuH586OYXCSfbJJrbjo6B5b800sQqqPLt5OdBHxnODHd6oFSJcE2wRqlOa8rIUH%2FKxFiQy675z6EoWeTNLNEt%2BADDBEWCipa4%2Fatae2uJQLhU5vF1Wn93uGF2dxdXoKUuged2vVp1J4JxDWdRpa4Fua8x7Z3jMnn6V63Xl5srjXkyWuPFWFjmhOW7mm6K71dHq%2Ff3gx4yBjl2P9q%2FVdRgvdr9VCqCJdAWFbSha3mKz6RNW9W2PGjBkzZsyYMWPGjBkzZsyYMWPGjBkzZsyYMWPGjBkzZsyYMWPGjBkzVgaDZXN7TCsYM1ZICw1dWVC6QQmPPvtzn72m%2F6DGlfrg%2FDNqWUZc2dpzuOL3PW0xqhwm1PqMVtkZlcJBHsm8P2tcK13GNnkOD%2B%2FvvpO%2BHbsxisPqZ3TdT0lXFzf2Ye9sfDEIq%2BytySDoqfXOxj4kXWUMnTfI2tidv1evSQi8FGU%2F3qbRAUwjleD%2FPh18x%2F%2B98wrtj9KtsQi0Dl3a0gpwsU01Ta0CVY1kSfqyoDYx7f3UoPtlHse8f1m9R%2FDw%2Fu67aO1PoG6H1DPn1a1SOl4QFddrXydZdXVxI%2Bzh53D1IwoQ4kq%2Fh5%2BLqB0y1nilmfHrbD7X%2F09qqq4F2cz1D9hjWZ2y6aaDrJ0hldqhK%2FBzWi%2F87eze1wtEkX3P4TKeoAZBHINZDW2ZlK4AiHASrmMPI8Y8J3i7z1NLeJafYOWmKldbLGV8kY824rdC%2F0gp47aka2qVyNlwmbtEvlUoMnF6eIeoOenV0skqdHFhmS8s6hEKDBIdWlu%2Frwkwzz797NOop9acFxXzf4yBhXhOKWbvxIP7w0Bx1aiHzdH%2BRlXVnb%2BXdxwYKLcXuGE7y4scE%2FAPPtJ8VIYXY3wC1HcHMqDG9xK1ZWlUXSrmIV9clVcFBBkPR3sKjw2n6F2BrF7Q2wWdBd2F38laNczU7bh0fJGPNs5vWUjIzsjr339h6b0Ov6zb%2Fv5PQL897auEuMQLbXleYWvkvxO6uPFF%2FC6%2BqNLFdfSL7nrgrgccXSPZpbmgaFd2%2FCjr7jrULJUd4zYeyfVBk%2BvfiUrnwo3vRmGcFuLeXAsI4oJ3qfhX1%2FSmZXg%2BdqE85%2Bs%2FfP2HttQmaV8WvnGGeusMz%2FCUyV0LZbJSX8Q3CKkRfCYgYxoqj2sV1oA0ZtTxyCxKIKtVl%2FjcGV%2FEaJP4XDEWQaSE7u7oGvmVv%2Fm1pfe6dVy3%2FS2JTFzPnF7n6n4S1FC5aHLDySp0cWEwr4NmVOriOg%2FfTVX5xTsWcdQ%2BtWV0i3W5TdnPWcPWQRE%2BhhiOgOGr%2FikuFCz5oDvJpu9DAtpiHXfbakUHKfjUV7DivsUfzw2FxkbTq0D%2BczSNomUUojZe5LVROW9JfTTIeDz7k9Uu1UI%2FopZC1cLfq%2BsjiJokkRXlSHjsBi54OSyVzGEhrlIIVOhwZxRkNbr%2FiaX3%2BnhCt%2F1lio6P%2FAKyLkw3A0ClKu%2BeChVBc2R1dHQDjwUeU%2BviVlVh4IsHUlV8lo9JCXgYR7YH34MkVK78w%2Bv98a2frJvCG%2BudFSNfnPlJRvdNwoz2X1j1QGb1b%2FfZwlGwSUTN%2Bn9Jsr5JP3z3JY6%2F96Uk23Icf%2BqPFwmlnrkZe5yfifTMRdTbTsS43Bt33pXzsnEYHXHpP9UD7eniRJ3YvX2tfQdvlS9g06OqQ1SxaQmdrPE8Uf1Se1x5WcfpxweK7xRGwZryURVKa2j7yvuc7a9eP1VzOtlFh%2F18HV3c1vxWA%2FIAFSlafEjdanNX9uHnAguRfOlIJ3981O5vkYL78j1kfIPfvGoggyPi%2BVTn%2Fw7aJZ9P4cgJVwj64SGgTiMex3fMMVtpf7xIKL3wU1a9%2Bdzmc6z6hZ%2FaWz3UyYiKgakY4zefs%2BeVMf8HyLO%2Bhf9UXUEgR9Tmj5vssv0zwJWlqkNUGNe7%2BWxSvd2VQ1Y5Uf0cXFYj3Jug8E4H3tOPavzLhzG1L%2B5zjmwAolKVz8kLJV5zMZOujm5V1WrGD6So%2BCy9eH3%2FhWaXtH9X9nxKdUvYGHf%2Bnq1wlO390OdTvbNtLPA8nII3Fg881gaP3%2F8KiIcEyLuv%2FxCdhdVbB8NSPCaUgKJw%2FQf3P7gf7wbJJ9vvLLDQmQWJ745czTsO7O%2FMBhbKNapiSCTkM8cjuBFRkzQDXOy44hn4X4HvpwcZ1z7IL6d5d%2BNPug2nckQNOakf7wSXF1lVRF3q4JgJzonD%2BqSiQHPK5ehd2cG%2FKydVYUx92%2FsMaIOacsxVsRXd3%2BcnN7o6urpzVXxrGylI%2BoBAp%2FThiPFo306%2BcR2eI3%2Fom8%2B1wTiM73mty63gWLLHz8WxI%2Fa2E3f92Qq0MSGV7Z2JxhdSJzfi52bIdePXkxu7sjCK%2Bb6%2F3XAWpCFXiLrDllcrTm3ZcLZco6qgmi2HaW9EJM8Ao%2BPyZ%2FrZoMuFJZ0l77zDkPhtyu1WgF2UzLGcmXLhdyqyylrefb%2F5eZsrE0y7Ck6%2B5G%2FndalqBdp9znh0h%2FSVk6KDKWxTn%2B90dXH1qNp4sfvS6W2gTgd5S8xVqgWgT25EYoNoZn3ra7w%2BzjYa3g%2BddcBmVO8l%2FpD4w8B7h%2FYUpiA88ZCuuAeS%2BtsObWoDvKRGzR9jwm1VvhvDr6vsCKH5Y9%2FyO7B3FYrtOJ6CQGRHuUZVQbX8Jo%2BpgiDJ5xrq0cs9bvBx1TVdaVC8iAj5fad6Duo6uWvivLaR3S28xMqTuwnOmmwqJ1Wbj3rjYXirV4W11A5G1mRaurh6VO2%2BBE5Sk3Mrkogjq%2Fn4HiB3A87AemdpOrewTUIHhMBx%2BL%2BedI36TdAN%2FGwjkKhe1idHmd%2BjjCpe2nTbe42c2NU9p3JF%2FbnqUpO6bp0OUfkkYWRKbMQwMiWfrlTail6KhNTdATzTfmenP9ZP82YqVdde88Y%2F%2FJw6rL1OooqelK4rm2%2B2W%2BBQvlXSc5J851GTu1InXedW8xotTClIDZ1Lv%2BSQng1tWcvVbrVcsb80fVmp61bTRL0LzmjJzfhS8Km66jtnogXVLan7JxCFM2HXoeZNqAxErWijfQcftDFjxowZM2bMmDFjxowZM2bMmDFjxowZM2bMmDFjxowZM2bMmDFjxoz9%2F2u4KsiaNO1gTOYkgWLZCarynNZV6uyy6zRcFwRkdJzX1iee%2F64%2BhRBIyIR81S6W3CtZKy%2BHR53neZrO8zLFT0NXdhn%2BH9PyuTN2Gx0sqydraWHlz8rYyAyt9KVXs7%2BJjBQLTzbfr0X0PUh2BQokTLBsuXhJvoED6LqNFxsvhph9BYoOXl3o2vjRBNN4jJlcMxzU6Azmya41r%2BcgsAakBv9R0VQdJkfnOUHUeV6O%2BLav%2Bv9p5JV9T9zzWzXescZ3caU0LHMMSkrX1kkubXlF1F7rEyWIzRaWJ1YI8UJ%2BvWSB16%2BJzg594yoW%2Fmr3rSqHCX6ZyHUDwY9U5a5rhvWhGVxmhkvQrMwqtq5ZXZvA853ZX3YnSRLZ1suo5rrhFOt%2F9umRqTbSWAaaCJdv%2F%2Bcnn2omdQbN7Mmnbv9nGAX66FQFXZ1v7QXyhNqM%2FsY5lA6rqfNcKr53VkjTlr98EMwJxT6M%2FjryNUUQRvgnSgQNv4nLHP3JnWDutsQDqSHr8kGmr5jYw%2BquIMkKxNnnZX7Ax187qszwETXn17HPiqka%2B4zguOmVi21fJv5P97%2FGGatWadrF3es8FX0iq%2BmdjbrwsGhXOdZYsTb20EsYH1DGow1HhS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2Fy8vL6%2Bvqfn5%2Ft7e339%2Ff29vbo6Ojz8%2FP6%2Bvr19fX19fWmpqbLy8v6%2Bvr4%2BPjT09Pr6%2Bv6%2Bvrr6%2Buqqqrz8%2FPt7e2ioqLPz8%2Fa2trW1taioqLr6%2Bvi4uL5%2BflVVVXNzc3%2F%2F%2F%2FW1tbj4%2BPh4eHq6ur8%2FPz%2F%2F%2F%2F29vb7%2B%2Fvz8%2FP09PTMzMz%2F%2F%2F%2F%2F%2F%2F%2F5%2Bfn19fX%2F%2F%2F%2Fy8vL9%2Ff0AAADZ2dn8%2FPz7%2B%2Fv8%2FPzp6em%2Fv7%2F7%2B%2Fvq6urp6en%2B%2Fv7%2F%2F%2F%2F4ck%2FmAAAA8nRSTlMAGgDUzwIP8SMQ759fCgUvqfDGFeIYA78fbxNTt98%2FhsV%2FBhdD4Q1rRI%2Bvwo3ATxJTD18IoKWasozTETbQ4D40IX5hC6dAMR7RXydvEsRuotKLkZCATYahkzOxQlFqmbZwJiUhFWy1wyJYcXI7gB2XIEFbgjxgiWFtfTSFMy8wSYgEqFBDTSE2KCpnSyZZUaZHRFAsDuWBYJJ7AVZQpC0Z6njBKWjdN4dlMV30iN8bV7%2BzJJeHMRiDYsR6U9yVYxdP2c1dj8CKFZZVFjtaaTxOI9cMKQk4NnBW4PKUOmiNI%2FkwWoQYUdQOSk6GvkUURFSM3n71h14AAB4tSURBVHhe7J2HfyPHmaa%2FYicCDTQCQRAkQWgABpMcDSkOw3CGM5o8Gk2QRjlZOVjBsizbcs5pndb22r7d23ybc7zbdDnnnHPO%2Bd6%2F4FjdIGu6vmp280CtbF%2B%2Fkkn%2Fnip%2BaPSDDqA%2BFOm7J3ncIoDi0NAQkY3d2IaJSws2NNZZnCouduhAsrgf7o4BYy59O4fvn3ROJQKoREkBGKqYytAJCCEQWh220I81TPFIozLaNiCMH4PJr47WIooL1C1isUUsFSwpkMqPAMARDUIFjLcYpj5tGbmqw%2BP6bhz49jZwbZ9S9k8Kd20QQLDdzFbdIz%2FJJ0OFyJFaI6mOcZ6HGOzAGxdi0tN8JL063CmJwi9FviX34m4FUrlxl0PgaBgIbrXJJfVp08yTrbq2tt99bINtCj9p%2F2TiZMMigCzYGa0WxwBgrEjxCBUici56obyLjsF%2B%2Fez8KGLwUdxVJuq9HZcpljX16lgjlaeg8hTpmUVNqubcUjzNKnBbGIBbJS6pT8nMo5ilAms3kxsAbElvsP0DqP2Ttt9KsEYIoBELpWxWDyHMocSDdUiCYMYDvJmAl5sUE%2BcDgiaiLMd6FrTJUmskFaTyEah8JPZsiru8WGL8ouLpx2rfqshkVQix%2Bz%2FOoyRIte64GalXsb5%2FJFX7J4UfxsVI3EUcMyrVrbqAtbVVB1x96q39f4Yo0goYpBJ6EmhWa31nx3WrUmskFaTyJah8iVSofNrqY2umHOeNsyIQ457ksUTnlP0dq4NfVyuLrpTKLlHy0sUp1UASq%2F2Txr2ASAiiwJvNYrVzBLjUbJ4BjlS0qbdE%2F%2FStUgAExAMyWG2jI2EFDd3qujNsWcPOesxquY6d1OOSmiMbId4YCTT%2BBEq0xDjRKACM8mO1HwF2mYm%2BDnRdrRRht5hUmRPHAeD4CdL3jwBEBQ3OheC84VE%2FXi2L1Q9fB14kOgFc%2F%2BzeVgmgJKuVTnzsPSh2iFoncY82uVrw14aH1%2FxCNVbszO4heYa0vDPk30uc%2F%2BOxv2LgBAAGdjSM8R548OvqoxHiUl0bYWyX7R8h1P5J22%2BHUIlAxXSl5FYDeZS67hHgTO%2F%2F2aoPbWy12r9JqFVifFsqsLYGbGtlJyq%2BV2TuBRrA3WTgs%2FAY70S30519XFebg19X3520%2BbakctBO2j%2BZ%2BNt23qsdwduyWCWnjjB1h%2FZvdWkqhPxKVhi3gMamh2Ilhn304xeIaTVJpVlsTp9FLRt3F9DPgvtmX1czbf4FSeXghcT9k4WXLYxtg8oYrLJRKZNTC7XWa7R%2Fq1RDCDfq7RltpDwixPTcjIdii1R87MYnptUktdKYn6Pz89ZSJj6l6k8NcA%2Bc9bqavvmF6jbdHqwW0vYP5%2Fq9dLGo7qVTrY5OXKnXr0yM7m3V%2BFzIAs4S0crEckCmBDOedY1UCmI3%2BtN0LjUucan0yDOycjD8PZk4VJDCB3%2B%2FqmmtSqlc68g2dUYKlLJ%2FUrgzMl73Gu3xESfFqorzwO0OsXiI4kmrCe%2FSRoQ4T3slOK2ea0qa001Tgci0E2TiQkVk5tHooO9XnYJDWcP3TzovT4xOL5dJixDqXz29gHhGRZTRIRogzT2l5mk6b8F%2BG5KhtyB5%2Fj%2B2mie3mie3mlvNk1vNk1vNk1vNk1vNrZbouy65VR8%2BsST3UJbGpopjJYZdoNsFXGOptDrpfAn9LGWvU5xaLJFvmr9Ycu3kzstYuiHrUuaUFsfGFg%2FyQOFa%2BHaCIAeHMNTnPgA%2FwSrnrg3UPPD%2B1R8AHnwQ%2BIEUq7xONv4w%2Brk7ex2vBhRhng9ks%2BoyGAXU6XYrROTzXnTg4PrRW3EAIQQI8tueVn3I%2BGarnNuoz4%2BOztdZ%2F%2Bpl4KWXgMspVnmdbHwWIgxm91XHA7JxiJ1A64jHvJg0WS0CmBqzWf3NLSG2NmGTnopCOm8l8RZKpNsDSbG0l1UfUXyjVcZLqE8EoGCirj1cC%2F20Eq3yOgjrML6wwHgLFoWxUGHzicx1iB4CQJy7Iee7S4biAw4QUM9k1XhodzE%2B1yRqzo2zk3YXkPZaZODoEJl48avVU5pVQQjFJltVUgHfZJX9N%2FDDuJ3Cerdr%2FasvA5icBPByolVeB6yO5B2go%2FOXdzpJLuAVVseuGOv0%2F2M%2Bce6EnO0uIRO3elPbciars9UyhSlXZ%2FkJvoVSCS3OaeNRCTi%2F59j7UGFc0J7XVSWVad2hpv5VEO9fPQXgwx8GcMr4CRybTHWg6ijungJOuRo%2Fhp%2BgMD%2BBw4Y6Xb3OrOSG1BTPdKxCJZNVfJn6%2BbKhTnMcGG9yTv%2B5Zrb6CQT4LLtQEAkBIRKtFgR2IgpZrDa8aEzvX60AQBAAQIVi6bdzEa9jA7aso3FnGph2NA58ncJ8HTBsz5%2FQ69QkD1OM9TmNju7yYsqxmtFqI46fo36eg8HSzwM%2Fb7L3fR6RkYPwfTdzQVBtOklWuT1ulfevCiH0%2FtV7sZt7zd1ovM5F4KKqozgBpHMA6BB1AIDNb0yuGOvIVPAk8YT1BztW3fq5rXMb9fZjcexEEwEHpjPw%2BLjxDPwH2xHgvIIPMy5EBqtCiBSr6f2rswAaQjQAzCbsFVYn2NwMVB3FCWD1AeC9RO8FADb%2FmZ6az7fzcf15%2BWr7BzhWnYnV5irr1gPtWCX9swSbQHOrXN5qck61ByTgfPY9DzUC%2Fs6GICfsbVXCFKtp%2FatL%2FY9pHQKAJUOZyUnwOnNzYR3GhWAcKmDzHbU9GfpsvfcpPsh11ZhNZXVTG5qbt6hJ8l%2FOT%2FeITPyjX6l9kG8mqe0cwGp6%2F%2BrdAHCd6Lr%2BewKopNbh3Gx1kDoET%2FHBrqvGzCmrc6QlGFFA480k3jxdZpsJEoCgeE8lhfdQQ2JocjKj1fT%2B1RoAvJ%2Fo%2FQBQS7fK63CeZjW9TsOrM14dHW%2Br%2Ban6vF3qZbJKyurBpGnQQpicNDY0E4aAXnQC73%2BNh3XZsv5V1ow6RzQnv4%2FyMjJZ6nDO64jMdaZHJxgvUHnZND%2Bh%2FuguHdXmU0KEUF8PPpES0esZG5pJDAkxdDPOk%2FdC5Mmt5smt5smt5smt5lbz5Fbz5Fbz5Fbz5FZzq%2BYGw13usyHXNjcHKKrHZwuvpKWLinmDsECGlAwdND5R2vIg39VWq0atfV5Y14fs2ryIktVqjbUepmUW9zI2CUyes9AlnvJZtEfiaAEL%2B7OabBqJQ619rSnT4jwKiCHaRaD08MdFvVDnWhVXWpm9jFYrEf5AwoYQz1INNQZ7QG91GJfJkH%2BGBzSyghWyJoUAhJi0SIXRAaw292W1eSBWE4uI3YAIGAOYVsWl1sGsvhLhY3FahN6SqXLs0xZKxud5QurmeQee0xGIRnrRD%2FVGFE6iJKIQj0gdYsjI1RCzKhErnWrVj3Hy0Y3OwCDaqx2Ya92%2FVeBYhK8DbLplAbcC7MT2vh%2FEMZPVyhraZAjgMGRe9S2RQiWJg519D%2BoMnPi4e1n1oReZJXLHKtJqNUFrNaZ1EKuzIswstzp%2B6dK44Vm%2B3Ah%2BCmiZ9%2FsDxFNBnX6%2FrTYVHuwMvJBmdcFs1YdmtYp7yLVRdEFUSNBaiGsdwKqKxq0vAF%2BwuNVTn%2B68buH7uQqxdRYnXWL5XXxtYKtChfHEgcHPwKEeSixPJO3BZHVdt1oQc64NwEZM3zqpxPn6%2Bpth9fiLwIvHmdUOwswaVDTPb%2BB%2BYnkYP3dwx2rmu6XWQZyBhdgogHj5XYTChhCm%2BoWqZtXttn4EYW7Wpy%2Beqbi%2FXshk1dqy9mMVH9ja%2BgCY1YcsIcQW0DGp%2BGkcJpYbeGlfVktAaXCrzYM5A6%2FQ3lZpJWE7C9UYr0wBP4kwSh%2BTKrmSmsWqNdwctrhV0Q%2B3ipMnway6eF7usjYe4lZbpRpeIBbge%2FZlVZnI0nyXOjD4PTCHu8hk26tvh6gQ5ypKH5MacSWVW63G9VnDTriYLnNRhEyLdWSaWzLX8AU5%2Fkn98zpXwW6X1Mj%2F0NkCFhKOym0emVgYbKXag74HNtchGGyPTmyH2VbZ1adLVbykpGpW41xKJalV34qd30KwjkxjS2YX4WLXFfY%2BFmEakz3SYpt%2BH7lSXWFHJVud%2BvfXanNAqzxpj1vQpSpeLmQ7VUmpUivrTw9EmDJlyty25SD6oVHD404zqTQiMaOF3R%2FS%2BIboZ6Mw4PrDB3UGFpRchxTkSX3cwePQd0ZW2P8ZNHkvRJ7cap7cap7cam41T241T241T241T241t%2Bq2aOAs0rdVcquuXawYFrpdTF6%2Fl6eDJUqOu0SDxvdpH8mtus8eR9HUnQ3ftK4vANslPSdxisOlKcjZ8uc6jI9Ryzy%2FWKEuq%2BUn9KOHW5VA%2BVASn%2BrQAcR2wy%2FJvAWwoYjyuD4vFDnwTdi33ZhV1z55ybJYx0B9sw2UDOvrRqK0dAHcZ16C2xp2T1ywntO4d3aCcJXPH696M4EPm0s1aQWkISRQPpTEgcUWGQKAkLknBtIRlFbGm6yUokyeHDJyGLT6QKRVTcPJS8P6Wq%2F1ibnlNg4b1tcFwHR3jOunn8KmEGLkhG3fMeJofPR8yQcWXX1%2BuTAa%2BMAFTWpBAKLAtALSEBIoH0riAIrdwa1KEVA2OAfMQyZ5csjM14llHX2tahqOX2PLSr0%2F6kkwrK9r6ts%2BFcKaq1eZix7h%2BAnG%2B4uZr%2Bl8oUK%2B3p3hLiJURVhkjyANgQzUOJTEIWN3BrUqRSgbBs5KKcrlySHOE1tXIq1qGl8V1MPh0KJlWF%2FX0AVYQjuk9xuvb7CGTzB%2BP6w6UL1D4wsoLrLttrEbW7cRjpGR8iFXcaMl3x3UKmxlw8BZKUWZPF6IS%2BVauVSVNjDWHQMu8PWBI6u1%2BEFc%2FaTBNQE7Um3Gf3RrZMIbLzgaf6cHKTV%2Bgr%2BgrF4w2iAj5UNrGmeWpga2GmXNzHkpjbKXsc22v5HUutIAsDbEpao8gCg%2FxtcHJsn19XV%2F7kGE4VafkvVtMF5oEp0ul3QezHhSKvTXYfSpJ%2FY6BSylSKd86A7FjZaqzwxsNXqEOxI4K2WmI2InI3z7fTLGDx93KHxLY5ZKvQ3IbDYN6wMDgLa%2Brnf5i16C1Y%2BMb9cHGJdp%2BpwHMxsFAkjTGg3qUgkYlo7MlA85ihssWZMFZ1Cr1rA6TgycWzVTFcP2%2B4lSh50hoqfkWxopleddFoD6nGl9YAD6%2BrptrB2SuE6xNNClubLjdtFgfDtmHqworrRG72x0qQSEokzUOJTEw7daI71B75akTyXVwFkpTrlVrjVZ6hDRZZy8ZJZKzkUPjTNkWh%2FYsJL%2BxzzIeLfH8Z3YyZ0D8eS2ZSAUlUD5UBIH2qfPD%2F7ORvpUUg2clTJTocK33%2FzOpi91iFqwfvCaQ%2BYEM43H1FjKerzN01UPqJ4O4nj1XAMyjXOrA%2FHktmUgFJVE%2BZBELueNyeVmQk8mZW7dJ2nI5VIljwaZP0Z5uFZzU34kdYiubY2cdygpwbRylLoeb7MwKkSB7ZjVaSEzvToYT25bFkK1IXPKh0LkcD7dowNIVNkx8ugLO%2FY4TddqbsqPpA6R06TvvORxEnDeCzFo8l6IPLnVPLnVPLnV3Gqe3Gqe3Gqe3Gqe3Gpu1dzf%2B5Zx1ShxcPUHT2uqktR9uN%2F4ST9UWThIq65taI95S7gaAsyddTWPzc%2FCB85JnHT3ZdVuUULel2C1UsTCYK8at0XAUMsNrdqm9pi9uQd4%2B5kPq569Prk%2BgOISkaEPeXS%2BDns%2FfJzXJ2oplMnGAoC1fVlV28%2FkGVX529x750BW5YcvgEox7EYrAYAQrL835ICJW09Xq09b5vkNGPi5kYl5jbPHVVmrjQMfqpWI9SE%2FQvTIRB0lnQdEgZlXarw%2BLRVBaTZ4o3opu9XOVQALCVK9%2BaqxkjcTDGT12RqKQBG1Z4eIDgMAEevvlVyGc2%2FYKRScYc8033pmHIxbq1crgZWxPrm4qwyc%2F1CN9D7kCnwfldtxTOPRRxc4j3biuOLqyKOEmGy0apCptTJa7RYRxnTc3yvlFYxWpdRBrDZnPIQvjuYQUQ0QgkgIredTchnOo5PRGufWZH3Y%2BVmPceDUZ12Ac1ld5zt%2FBF1G60MOqkA1CLxZjdPVlo01zkOpM%2BU4b9kpa5oxGyf7%2FGQ2qz5UCyrLyoaSp1V6KKVtKfvirkNEDWCH1khlL74u8Trnl3oTTqXIOXBnbw0mTgSdQ6bXg4zeh7wePrZX0%2FjVsF%2BS8UhqoPEppFhlNkaEAKA3cJJtvi3oYCfWY4a73BUu1Q%2Bri8JBWj0UjbP%2BXsllOPfCRtc7PJ3L%2B8RKMXsd8%2BOKKzgngMmqJ4TWh1xBtSq%2FHtL4j1uyC4vxUiRV449ZKVa5DfNBecmDjHcpjh9FYyM81VSHg5S7XHZXPJBVMe9J2JgXQ0Rvi8ZZf2%2FIARO3Xd93bc5hd4rmOkIYuSASOienWisBf7J2F%2Bl9yMF8oTAfHNHrHHGGq8MOMY5Qqs6D4SqApHUDlY1Uq803IPNGM46xOb3S60F9JIHd5Wa7K%2B5vjcj8B%2Bdbxei9SbE1FPb3yrD%2B3r14ESgmzR%2BUE93xaQC1u8q8D1neA4%2FxOmO%2FUHAqBo67AmKcnMK4B0qIspFqlVY3AGysanRzTgJrppx2l8vvige7W7pmeTPAjGddG%2Br394L19751nJzCFeDpsrEPucjmZ%2BdK%2BIxFhjAbKVZpxYK1osO56MGDlLtcdlc8sFVn%2BHQABKdl735Cf%2B9bwtUQwOBB1g%2BGiYfZSLVKFxuXyBwn5S6X3RUPbpWcJgkx1JS9%2Bwn9vW8lZ82xB1%2BfiU4ZEOYNCqablDXqLlfXGuz1M3kvRJ7vZKt5cqu51Ty51Ty51Ty51Ty51Ty51dxqntyqe5W%2BrZP3A3dhd4g6NrpkSqc7BibV%2FgjtM4twDXRsjIyxYXMI9dUcn7Lk1VdfVd%2FexFSAA18nOXs%2F8GGrhoUF1KzDxOyVbAAvMKv34RNkSGdxbGyxY%2Bb%2F%2Bs84xFKCefnoFoCUngEebT3LoppfjM265ZZb1Lc3Ma94IgbcItsUxlPWSWZWk%2Fty8fyMBXgzzzN5lSkAaH%2BNDdTwx2jM1aC7iDCLrpE%2F0XLZ86kBNZd4mvuwiv5f%2FAwt2sb5yGrV9d3kA8b3GfUN9Yus0YdvTzrn6ySbrZYAWEJYAEqs6tGjkDG8iBrjj8Mj1oh1N71g8xZ6dTLg%2FHvvk1w75Ot13JexOUCoMNvFViQVFzJYnZubU9%2F44svmAyb6ptNCFWHM%2FVvvT9p%2BkdFqtE4y36DIqi%2BtHo6a%2FGp6X64AgNtuAwBBsawB3tnpf6e%2F6Ih%2BE8DCC9p1%2BAjaaABAFUdM%2FE%2F9Zcm1C8%2FHPw5UiMUF4GY8VoWY96zXZfuIQLWQwSoA9S198WX3BqRAH8AN7TBadAv8L36%2Fhp28lO1YbTDbKuaO1cgq%2FKFIJ1yXrwGrrLLzrHX661PsRbfUbQKsTBfWu%2FHRNoAfs9Dl%2FI87KxZ7HWwCm8o1270Zr6vB6T8ddRkqqZmtmhdf5qsJTmktOoVJQCw7hl3%2F09jJV7JZ%2FWAJKsUUq%2FrfgG4AwFNP8fV%2Bj27nttvkV%2F1Qsi4egcwXY%2FzyjxKssFqLVB7Edae%2B9gBQb17Hgzfz49v8d%2FAXiUKuUkLjV4FfbaBkasYDipUYhdj9h7T8QhHe2%2F820TrtzyqX2kjSyhYX7QHmXf%2Bz6KfRzGS1UT4FlXtSra6ryevJ%2Fbp0224ols96zxchU9c3bwrX7wSA10llro7umXcA9TNd1Odi3Jf8E%2BTHOLk1fMZpt53PoObqUtsA2kpryrFakVJPFivqHjijVSa1Ol2VWolpZVKJkqwGHqI8SZmsfrADFXzRZJWvnyyDaoH166afgXuHEMY7wzfvhVUA6N2Mz1i4f0KIiadgndH4kY9b6HU1fh%2FaPXr8ceq1tcWwi965ZQDL57xilmM1%2BszJb9b023sPO9Hu9uqA36n4QDum7gLkbipUgQvEtTKpBCTcqI6KMN4ns1ktPwqVapNb5Vqj62q1wPqB0626dv%2Fm52mHLeiOBypyRHvqbUwtLEyhPezEeRXAn22hGuMdeB%2BLtvpjHjqx%2BqdXZfXK6ul20rHK%2B2%2FDjxTFhIwKwLoiZEbJ2Nb%2BOFvnVH3TtUYbzy35ScveVvCJbFZbUMGXs7yzKURWC0OsHzjdqn18a1rMzwvWDP2xBsZ7D7GVyclZnnzyHe94cnLZ0Xhh8vfwR1%2FU1s4%2BiSj880rLTYrelzeXsxyr0lpAFIyyNd1hXuS6XEeYepmvc6q%2B6c%2BBVYLSKqVyTc9ls3ofVKxeyjrJrBeC9c2mWD0%2B3CQKAmJpPrNVJlisDlFveWJiuUfE%2BGv4B804ryCWCsXSmBfzjf3%2Fbiku1Y2k8pzZ8ABv4wwNFBGlwF4HTYFtDuFks1qDyvNp6yRzq6pvlm%2Fe6ip7uzTs7NFlTGKkTNmzIgKNBCIWbXg6oGA6bclrngJbG9gYZ2VUiNEVh96sCCmdwYQnMCpUmJtC4YB7IRz67kneC5Ent5ont5ont5ont5pbzZNbzZNbzZNbzZNbXZhaiIPcagtRii5ljQsYJy%2B4rnn3dlGkNzH4KFomHIbz0liR9T8fKF%2BcmlqUnMcdA7qUKXt0xNqAbZgeWu3%2FwFfRz4%2BQKa2rLUOTAYoV0%2FK0tg1qceFu7SzMi58i4Ul2i6a9VUzYIWiimdnqm7%2Fu8amv3XPna5LzHEFjck6C9P7kvZrRhICBhVZFNPYw%2BnmYWNzSGH7lGjR6yrhW47OwJbfxLOm53%2FspZhX4w8AFcXTDcJh1pn7jDRAL3viNqY7RK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<h1 class="title">Reproducible Research: Peer Assessment 1</h1>
</div>
<div id="loading-and-preprocessing-the-data" class="section level2">
<h2>Loading and preprocessing the data</h2>
<p>First of all, we must make sure the data file exists and then load it:</p>
<pre class="r"><code>if (!file.exists('activity.csv')) {
# Assume 'activity.zip' exists (it is included in the git repo)
unzip('activity.zip')
}
# We use "na.strings = 'NA'" to correctly identify missing values
dataset <- read.csv('activity.csv', header = T, na.strings = 'NA')</code></pre>
<p>Then we must properly process the data. In our case, the <code>date</code> column should be of type <code>Date</code> and not simply a <code>factor</code> or <code>character</code>:</p>
<pre class="r"><code># Convert the 'date' column to the appropriate data type
dataset <- transform(dataset, date = as.Date(date, '%Y-%m-%d'))</code></pre>
<p>Now that the data is properly loaded and processed, this is what the dataset looks like:</p>
<pre class="r"><code>str(dataset)</code></pre>
<pre><code>## 'data.frame': 17568 obs. of 3 variables:
## $ steps : int NA NA NA NA NA NA NA NA NA NA ...
## $ date : Date, format: "2012-10-01" "2012-10-01" ...
## $ interval: int 0 5 10 15 20 25 30 35 40 45 ...</code></pre>
<pre class="r"><code>summary(dataset)</code></pre>
<pre><code>## steps date interval
## Min. : 0.00 Min. :2012-10-01 Min. : 0.0
## 1st Qu.: 0.00 1st Qu.:2012-10-16 1st Qu.: 588.8
## Median : 0.00 Median :2012-10-31 Median :1177.5
## Mean : 37.38 Mean :2012-10-31 Mean :1177.5
## 3rd Qu.: 12.00 3rd Qu.:2012-11-15 3rd Qu.:1766.2
## Max. :806.00 Max. :2012-11-30 Max. :2355.0
## NA's :2304</code></pre>
</div>
<div id="what-is-the-mean-total-number-of-steps-taken-per-day" class="section level2">
<h2>What is the mean total number of steps taken per day?</h2>
<p>In order to calculate the mean total number of steps taken per day, we must summarize the data by <code>date</code>, applying the <code>mean</code> function to each group of <code>step</code>s. Since we were told to ignore <code>NA</code> values in this part, we start by defining a new dataset (<code>ds.complete</code>) containing only the complete cases (rows without <code>NA</code>s), and work on that:</p>
<pre class="r"><code>ds.complete <- dataset[complete.cases(dataset),]</code></pre>
<p>Then we summarize the data as described, yielding the following <code>data.frame</code>:</p>
<pre class="r"><code>ds.comp.date <- aggregate(steps ~ date, FUN = sum, data = ds.complete)</code></pre>
<pre class="r"><code>str(ds.comp.date)</code></pre>
<pre><code>## 'data.frame': 53 obs. of 2 variables:
## $ date : Date, format: "2012-10-02" "2012-10-03" ...
## $ steps: int 126 11352 12116 13294 15420 11015 12811 9900 10304 17382 ...</code></pre>
<p>Now we can plot the histogram with ease. I’m using the <code>with</code> command because it leads to much clearer code, since we can ommit the name of the <code>data.frame</code> we’re dealing with:</p>
<pre class="r"><code>with(ds.comp.date, {
hist(steps, col = 'lemonchiffon', br = 20,
xlab = 'Number of steps', ylab = 'Frequency',
main = 'Number of steps taken per day')
# Draw a thick line for the median and a thin dashed one for the mean
abline(v = median(steps), lwd = 2)
abline(v = mean(steps), lty = 2)
# Report both median and mean on the legend
legend('topright', lty = c(1, 2), lwd = c(2, 1),
legend = c(sprintf("Median: %.1f", median(steps)),
sprintf("Mean: %.1f", mean(steps))))
})</code></pre>
<p><img 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" /></p>
<p>We were also asked to report both the median and the mean number of steps (which I have also included in the previous histogram):</p>
<pre class="r"><code>with(ds.comp.date, cat(
sprintf("Median: %.1f\nMean: %.1f", median(steps), mean(steps))
))</code></pre>
<pre><code>## Median: 10765.0
## Mean: 10766.2</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>Next task is to give an idea of the pattern of average daily activity. In other words, how does the average number of steps vary during the day? We can answer this question by simply summarizing the data by <code>interval</code>s and then plotting the result as a time-series:</p>
<pre class="r"><code># First we summarize data -- mean steps by interval
ds.comp.int <- aggregate(steps ~ interval, data = ds.complete, FUN = mean)
# And then we plot the time series:
with(ds.comp.int, {
plot(steps ~ interval, type = 'l',
xlab = 'Interval identifier',
ylab = 'Mean number of steps taken',
main = 'Average daily activity pattern')
# I'm also going to add a point to indicate where the maximum number of steps
# really occurs:
# 1. Calculate coordinates for the peak number of steps
max.x <- interval[which.max(steps)]
max.y <- max(steps)
# 2. Plot the point of maximum number of steps
points(x = max.x, y = max.y, pch = 19, col = 'red')
# Make a legend that also references the coordinates for the max point
legend('topright', col = 'red', pch = 19,
legend = sprintf('Max: %.0f steps, interval %04.0f', max.y, max.x))
})</code></pre>
<p><img 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" /></p>
<p>We can easily discover which interval had the highest average number of steps (we calculated it as <code>max.x</code> in the previous plot):</p>
<pre class="r"><code>with(ds.comp.int,
cat(paste('Interval with maximum average number of steps:',
interval[which.max(steps)])))</code></pre>
<pre><code>## Interval with maximum average number of steps: 835</code></pre>
</div>
<div id="imputing-missing-values" class="section level2">
<h2>Imputing missing values</h2>
<p>Now we’re going to deal with all the missing values we’ve been ignoring thus far. Let’s just get an idea of how many there are:</p>
<pre class="r"><code>sum(is.na(dataset))</code></pre>
<pre><code>## [1] 2304</code></pre>
<p>That’s a lot of <code>NA</code>s! We have a few options to deal with them. I chose to replace each <code>NA</code> value with the median number of steps for the corresponding interval – I chose the median (instead of the mean) because it is much less influenced by extreme values, resulting in more conservative estimates of what the real values ought to be.</p>
<p>Let’s see how this is done, then:</p>
<pre class="r"><code># First, we calculate median value of steps for each interval
ds.comp.median <- aggregate(steps ~ interval, data = ds.complete, FUN = median)
# Merge the original dataset with the medians calculated
ds.full <- merge(dataset, ds.comp.median, by = 'interval',
suffixes = c('', '.median'))</code></pre>
<p>Our <code>ds.full</code> dataset now looks like this (a few random lines from it):</p>
<pre class="r"><code># Create a random sample of 7 entries
set.seed(42)
randomsample <- sample(1:nrow(ds.full), 7)
ds.full[randomsample,]</code></pre>
<pre><code>## interval steps date steps.median
## 16072 2155 0 2012-11-18 0
## 16462 2225 0 2012-11-07 0
## 5027 650 29 2012-10-05 8
## 14587 1955 0 2012-11-27 0
## 11272 1520 0 2012-11-08 0
## 9117 1225 NA 2012-10-08 0
## 12936 1740 NA 2012-11-10 26</code></pre>
<p>Now we only have to replace the <code>NA</code>s in the <code>steps</code> column with the corresponding value from the <code>steps.median</code> column. Afterwards we delete the <code>steps.median</code> column.</p>
<pre class="r"><code>missing <- is.na(ds.full$steps)
ds.full$steps[missing] <- ds.full$steps.median[missing]
# Delete the 'steps.median' column and reorder the dataset
ds.full <- subset(ds.full, select = -steps.median)</code></pre>
<p>Notice how the <code>NA</code>s have disappeared and have been replaced by the median number of steps for the corresponding interval:</p>
<pre class="r"><code>ds.full[randomsample,]</code></pre>
<pre><code>## interval steps date
## 16072 2155 0 2012-11-18
## 16462 2225 0 2012-11-07
## 5027 650 29 2012-10-05
## 14587 1955 0 2012-11-27
## 11272 1520 0 2012-11-08
## 9117 1225 0 2012-10-08
## 12936 1740 26 2012-11-10</code></pre>
<p>To find out what happened to the overall distribution of the data after we corrected these <code>NA</code> issues, we can simply plot a new histogram and inspect the median and mean for the new data:</p>
<pre class="r"><code># Now re-aggregate the data by date
ds.full.date <- aggregate(steps ~ date, FUN = sum, data = ds.full)
# ...and replot the histogram
with(ds.full.date, {
hist(steps, col = 'lemonchiffon', br = 20,
xlab = 'Number of steps', ylab = 'Frequency',
main = 'Number of steps taken per day')
# Draw a thick line for the median and a thin dashed one for the mean
abline(v = median(steps), lwd = 2)
abline(v = mean(steps), lty = 2)
# Report both median and mean on the legend
legend('topright', lty = c(1, 2), lwd = c(2, 1),
legend = c(sprintf("Median: %.1f", median(steps)),
sprintf("Mean: %.1f", mean(steps))))
})</code></pre>
<p><img 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7o1tNMjxqhWq/6Bh+4fGf3h2CbfftiB8OBf/LyaOppoEOlauXTwXx3y7J8fG+lX4FqyPNv+u8JubJ3St219OwMiTROHRh2/m7Pv4c2gzmbl/FsUuE4Ofnp27YRuDe3NdRki0jK2q981YNPl8F39Ci/to9962Z8/dbbXJSJtW0cLbabcxdt+tyckaFBDUw0io1qt+s8+dPewf+He33LMW0qpMnQd/f934fehLez0iHRtG3ab/GdY+LrWDBFR5JZfLqZ9fKIez3HoytHWRER5ITMXXkxnK+lVKJuc51458zKGrZZeubUloGcLB33SMHJo3mfO/v0/WJZ4wuVcRTr1hw62l/6z7vC+TqW+FAAUYtjSHSoA8JXJuTbKofXWZKI6i5+EB7p8Vft71fO5SxJ3t7Eefp2o/srn96Y7I+GhTDgGDwCgNsRZCfHJsecWzLlORNTQt48D0h1kQcADAKiNjH8H1fC5JP23bvfA77F/HmTDMXgAAPXBE2gT6drUbTvk13939rXCRzjIhmPwAAAAHISvfwAAAByEgAcAAOAgBDwAAAAHIeABAAA4CAEPAADAQQh4AAAADkLAAwAAcBACHgAAgIMQ8AAAAByEgAcAAOAgBDwAAAAHIeABAAA4CAEPAADAQQh4AAAADkLAAwAAcBACHgAAgIMQ8AAAAByEgAcAAOAgBDwAAAAHIeABAAA4CAEPAADAQQh4AAAADkLAAwAAcBACHgAAgIMQ8AAAAByEgAcAAOAgnrILAADlOHXqVE5OTvfu3XV1dZVdi1pas2bN7t27lV0FqDoej3f06NFq1aopYeqqnxIAVMH48eOjoqIiIyPt7e2VXYtaevDggbe3d48ePZRdCKi07777LikpCQEPAKBO7O3tmzZtquwqQKXp6Ogoa2oVPAYvyc94l5SaI2KVXQiAahOJRMHBwcquAgBUlIoEvCT7dciGyd3rV9PnMZoCIwsrMz2+BqNn3ajXlHX/vMiSKLs+ABUUHx/v7++v7CoAQEWpwi56SUrw+OZdN73Rr+3Za1R/N3tLM2Ndynmf+i424tq/fwZ0W71uYsi1oE6mKvJlBAAAQPWpQMALn24I2BTX8udr/wR6GJcO8ZXZjzcNbD1uwsYxYYGuWkqpDwAAQP2owFZxXuT1N0zLH8d9nO5ExOjVG/rjt8bR197kVX1lAAAA6koFAl7LysWKfXL0YoKorKWStPunbqabOlvyq7ouABVnaWk5a9YsZVcBACpKBXbRC9wmzOm0aUy/eq+GjPneu31DB0szY13KTU9Ljnl89cyBrX+EpnZYH9BQaY0GACpKIBCMHTtW2VUAgIpSgYAnvtOoY2HW65YuD1o2cc+yksusWg6ef3De9H41sQEPAABQfqoQ8ESMnnPPmTt6Tt+YlhgXFxcXl/ie1beoZm1j51DdXFD+owgvXrxYtWqVRFJ2V11UVNTGjRsdHR0rq2oA5RKJROfPn/fy8pJzn9DQ0P3795e5KCUlhYhmz56tr6//ybm6dOni4+PzeXUCgFKoRsAX0hCY2NQ0salZ/zMfr6ur27hxY1lLQ0JCIiMjEfDAGdI++KioKDn3OXLkSMb7KM8OzT5edPiQZhZR/bqmZqZG8icKf/hi9+7dCHgA9aJSAa8oW1vbUaNGyVq6Y8cOJV4yEEBZWnm4jRrZ9+Pbly7fnpKaPnjQN/Y1rOWPcOLUpa3bz3+Z6gDgS1GBs+gBAOBLEz5d4sIwDNMw6FVBySXi2G0eDMMwDjMfVKgdWRyzqamG8fcXsogyzw0wYJpuihFXZsWl5NwYb19j7I2cEjfmvfp7chdXC76GgX3LwatvphUdoJW8v7dtTLtaZnyG0bao02nizrD0D8vY3NfHAns0tNVjNE2cWw1YcCpG+OFR6ae9BUwJ+j4hmWUUI3NelaICW/B5jzfO2fhY/vtKUG/s4rH1BFVUEQAAV4XvOhEdMLnmf5/94sTgHTcVHJRnXLdNe2MbbUbBcWRisx/vmLMzWjis+I3ixENDmg08bNR75srx+o92LZni8TQn/Nrs+gISRe/0ae1/zqrXjF9mu2o+P7Riha9nouGTfX2tNMWJh4c26X/YuMfM5ZOdC8L3r1zo3SHj2oPfPAwYKkh+EpUvaDFmZk+7wvO6Gf0Gztqli5E9r4pRgYDX0NYTvw7efOaFiIhvbGGiVcZbxCCt93wEPEAJ6IOHimJsnfUe7TwRPWGy04cPf8nbszvuaDs4SCIV+IEvnaYLzlyojAI/xqZfDvxu4p/nHsQKiayKLxE+2xp4ONN97Z0DE2pqkWRQY6GL94pFF8cf6KoXfeT3c8JWmy8eGmXPI6IB7gUuLYJ+P7+uz3eGYb9OPZzXafvl//lW5xHRsJ5O7epOm3NixtnB1TSE8eHxjOuiWXPH2WvKrkj2vJ84maXKqcAueq1aw4JOh91b0oDIddHNuLdleflXZwNl1wmgYtAHDxWl22BIb4tHu05EF11XTPL23I7b+t/80PS/j1hJZti2UZ6ulnyGMXDyHL89PPND9Esy7m/ybV3TWFPTuFabYb/fKNoznXXhe2ONol304vf3/hjn6VJNl2EYgUXd7rOOREt3gufcHG+t1Wb3/eMzuzjoMIyGiUuvxaHJhfv1s6/4mTNMo7WRJa95xvDM6nf0GTNv/ujmJbfxxIkXjzwn93E+jlpERBrmHUb1NMu4eDQih8T5mvW7DfXtaF34LUbb2sWK2Lw8EctmPr0eQ3X7dbIpXMR36DG4rvD63w+yiCQZb56l6To6m2qSRCSW9X1HzryqRgW24ImISMd1kF+DhVuUXQYAwJcQGxsrFAo/fb8KsrOz09KqyK906DUc0tui+66TMeMnOvKISJJ0fsct3a77mmlfLrxH9t2FbZr//KLJiHmbZhtHn1y1aETLp8LH/4xx4uc9Xtmp2U93qveaGTTbIePK5jkD/swlo7qlp5AkHhzcZuS52n6L1s+3zooI2b1qRf/BNV9f8K/BIyIqeLSy7ySbQXP2TTZ4vnvGzLl9J7V485eXMUOaRnXbte5gUV1QaieuXt3B0+oS5d5J3rY5utjteTF3Y8i8l5Phh+1UbVs3G9rxMDKb9XCd8NdpIiJJXlp89Jsnwb/8fEfQYVMHCw0mx9hUQLfDYnKphj4REZsTFZ5AuczLVBFpJTyMZ9mCoK52316PE/Et3XpN/X3djx2sSuakvHl1v9gxis+iKgFPvOo+v+1wqFZNzn4RACiuPH3woApmzZq1YsWKLzGyo6Pjs2fP+PzyXwlMt+HQXuZbd52MGRfgyCNJ8oUdNwReR1sYFl4sQfL25OwV4XYTr4aubmXAEH3ft7Gkdp95y28N29Lg6uLldwTf7r1++DtrTSK/71rzanfclv/RDMLkaH6zQet2bPKvySeiAZ7M1QZb78cLSRrwlJ7RJ/jWsha6RNTG8Mapb+/ffSvyMuaToMG0/12ZVv7nLslKziIDK4Oi0NA0sDIkyk7NEX+INuGzX9zrzntORBb99+z0c+QTGXpMGlKty2a/KS13zupql/fo73k/bEsiMknPk1Be7KNEyklOdlu8Y4aT+OnR3+bP8rz79mrYb60MmArNqypUpxq+XZfBdsouAkCNlKcPHlSBtbW1k5PTlxjZ0dFRU7NCm0WMXsOhPc227TwVM3aCo2bKpR3XtLr8r4UhUxjwOY+P3si3H+PbpDDSNCw7jfbSP3T9RnyW/vkb6Ua9pnpbS+djjDzGfG+3bftHMwgazDh2iYhIkpv04v614F1HI4kttr/b4huf+rrSf2qZ2xkxERL2s47+s0RETIlNZpYlYotd6ozv4HfgkvubZxe2L1g6xNPC5t46T2OTjr+e+P19/0l+rbYREVn3Xjy/yZyFQgGPYbXdZv19dHZjr7b2OgwR9epeX1i7x/qfg2ef6WfOVGReVaE6AQ8AwE2TJk2aNGmSsqv4QK/RsJ5m23eejh0zTv/S9iv8zofcjZhHhQsL0uIzKGplY52VJR5jn5SZn5WcRaaOFv8dEOCZOpqVNUF+1JH5Exbtu3g/OtfCxd29jqDk9UdM7IwrJXg09cz1KTMpq6g1T5yZlEVkYKZX9I2H0bFt1Na2UdsuXg2yXdw3LL+w2LO3iYZRs4kHX416F/k8RlTNtZZpwrpmc8jYxojH6Dh06O3w3wQa5u1+aK+7//6tmPx+5oKKzKsqVOAkOwAAqDp6jYZ5mz7YcTrm7eXtl3mdfN2N/tsc5Rma61LtwODwx8VFhEx11TO0NqTU18n/nUggSo1M/Xj0ghfr+/Rd8bj+tIMRKblJTy4fXulTo+SRaaZyDlQLqjepTinPo7M+bP8LEyMSqZqbk74k9q/+bk3HhGYU3VenupsNFaQkZYvZnKhboZceveebO7k1rm0p0Mh6EvqSarjXMWDy4+9euPAgucRVAhgiLT1tjfLNq1oH4AkBDwDwtdFvPNzbJGz7X39vvaTh6ethXCyYdF27N+ZFXXmj71xXyokNnjU84M9YicDBs5VJ+rFfj8dLN13Z9Gsb98R8PHjuy3OPqd7YuWO6upryiNjMlw8SFGjAk03TukPv2pIb287EiYmI2Iw7e04lGXn2qauraWTNj753ePet94UTS1JunX5GpvXqGGtS7r0F3dp7L7snPedd+GrfitPZdn0Hugqo4MWafp6eE84kF+5rlySHbg/NsWjnWUOrfPN+iWepEOyiB1BX6IOHz6TfZLi3cYe5P5J+t6OtTYpveGra9lsydnGH0c29wqd910Qv5vL+9Tuv2c6Z76JLeq1/mtVi38wh7r3DpvR0yLq6efneAt2PNxIFjm3r0Om1s1fY+Lc1T7m+e9nKI2kkDgu9+aZBe6vSdy4u7+Gvg8eespi2b0Pv8p1treXiv6j3bwP9ewZk/tRZN2zL9I0JjZcGtjMkIvdp4132Le3dhZnl185G9Cp44/LDmc2WzXDXJ0av89wJNVv92tOHF9jb/M2xoFWXDAYenNFYh4haTp/WdM9sn478wHGdbPOenlq38miB15ZAd30iyr23sH/AxRqBf6/71lz2vCoGW/AA6gp98PC59JsM725GIkF73zYmpfafG7UPun3lN6/c08vHjJgYdLbg21/Oh8xvqkdE2nWnh9zZ+EP1iC3TRs3a8dxtyemt35p8tFtay2XSod1j7K4vGdL1G98V15yW3rq11rvanXlj1j/5+Iz74sTpEZeuXrgZk1fu7X1Na59doZt+MLmw8HufyXvTOy/69/T0etpERLpNFoT88/M3olOLxvmOmLkt3G787gfnZtTTJiLGwH3xvwenuj5dFzB62rZXbjMO3dzRT3rioKD+jOBrG0dWf7J9hp//3L2R9eeceHzc35FPRCRKfXjhWujt+HxW3rwqhmE/7/xFNeTh4REUFOTu7q7sQgCqzsSJE52dBAHjB328yKGWd1R0QuTLk+X8sZnjx49/mRrVlZ+fX9u2bX19fZVdCKi0hg0b/vnnn25ublU/NbbgAdSVSCQKDg5WdhUAoKIQ8ADqStoHr+wqAEBFIeABAAA4CAEPAADAQQh4AAAADkLAA6gr9MEDgBwIeAB1hT54qADh0yUuDMMwDYNeFZRcIo7d5sEwDOMw80FeVVbE5r4+Ftijoa0eo2ni3GrAglMxRZfBTT/tLWBK0PcJySxcmPfq78ldXC34Ggb2LQevvln0o/QkeX9v25h2tcz4DKNtUafTxJ1h6WX9AIyceTkGV7IDAPiKhO86ER0wueZ/n/3ixOAdN6u+DnHi4aFN+h827jFz+WTngvD9Kxd6d8i49uA3DwOGCpKfROULWoyZ2dOu8IdwGf0GztrShx0a0mzgYaPeM1eO13+0a8kUj6c54ddm1xeQKHqnT2v/c1a9Zvwy21Xz+aEVK3w9Ew2f7OtrpVneebkGAQ+grvB78FBRjK2z3qOdJ6InTHb68OEveXt2xx1tBwdJZJVe9Cwv7Neph/M6bb/8P9/qPCIa1tOpXd1pc07MODu4moYwPjyecV00a+44+1IXrRU+2xp4ONN97Z0DE2pqkWRQY6GL94pFF2Sxvk8AACAASURBVMcf6KoXfeT3c8JWmy8eGmXPI6IB7gUuLYJ+P7+uz3eWTDnnrcLnXyU494QAvhrog4eK0m0wpLfFo10nokUfbpG8Pbfjtv43PzQ1KLqTJDNs2yhPV0s+wxg4eY7fHp75IfrF7+/9Mc7TpZouwzACi7rdZx2Jlu7dzrk53lqrze77x2d2cdBhGA0Tl16LQ5MLf1A1+4qfOcM0WhtZNCkRm/n0egzV7dfJpvCLBt+hx+C6wut/P8gikmS8eZam6+hsqkkSkbj49w5x4sUjz8l9nI+jFhGRhnmHUT3NMi4ejcghcb5m/W5DfTtaFw6obe1iRWxenqjE9xa583IOAh4A4Kuh13BIb4uHu07GFIatJOn8jlu6XYc3K8r37LsL2zT235PZeuqm3RunNo/bOKJl782vC4hIknhwcJuRf6S1nrp+7+4107/Vu7Ci/+BdRd8VCh6t7DvpfrM5+07uX+6Ve3xu30nnpL/mpmlUt13rDi2rC4ptSDNaxqYCig+LyS28gc2JCk+g3KiXqSISJjyMZ9nIoK52fE0+T9uqYf8VF96KiIjyYu7GkLmLk+GH6NK2dbOhtw8js1lt1wl/nd45spaWJC8t9vm9sxun/3xH0MGvg0WJlJM7L+dgFz0AwJeVl5f3119/icWFW7R16tRp3759Jd5eEboNh/Yy37rrZMy4AEceSZIv7Lgh8DrawnC/dLHk7cnZK8LtJl4NXd3KgCH6vm9jSe0+85bfGraltUZyNL/ZoHU7NvnX5BPRAE/maoOt9+OFVEMaJOkZfYJvLWuhS0RtDG+c+vb+3bciL2M+CRpM+9+VaaXqMPSYNKRal81+U1runNXVLu/R3/N+2JZEZJKeJ6G82EeJlJOc7LZ4xwwn8dOjv82f5Xn37dWw31pRVnIWGVgZFO241zSwMiTKTs0Rf4gz4bNf3OvOe05EFv337PRz5Jd/Xs5BwAMAfFmZmZl37tyRSAojRCwWS4O5sm6vCEav4dCeZtt2nooZO8FRM+XSjmtaXf7XwpApDPicx0dv5NuP8W1SeMqZhmWn0V76h67fiC9oXavBjGOXiIgkuUkv7l8L3nU0kor/WpnFNz71C38TXcvczoiJkMj5LTPGpOOvJ35/33+SX6ttRETWvRfPbzJnoVDAY1htt1l/H53d2KutvQ5DRL261xfW7rH+5+DZZ7oQETElzoZjWSJW8l868x38Dlxyf/PswvYFS4d4WtjcW+dZ/Afv5cxbwTWpBhDwAOoKffDqwsLCYuPGjV/u9orRazSsp9n2nadjx4zTv7T9Cr/zIXcj5lHhwoK0+AyKWtlYZ2WJx9gnZYqJJFFH5k9YtO/i/ehcCxd39zoCnRJ3MrEzrkiiaBg1m3jw1ah3kc9jRNVca5kmrGs2h4xtjHiMjkOH3g7F7mje7of2uvvv34rJ/0bPXJ8yk7LEH5aJM5OyiAzM9Iq26Rkd20ZtbRu17eLVINvFfcPyC4s9e5uUa94K1K4mcAweQF2hDx4+i16jYd6mD3acjnl7eftlXidfd6P/Nl55hua6VDswOPxxcREhU121C16s79N3xeP60w5GpOQmPbl8eKVPjVK/JV+BjWA2J+pW6KVH7/nmTm6Na1sKNLKehL6kGu51DJj8+LsXLjxILtGtzxBp6WlrCKo3qU4pz6OzPuwaECZGJFI1Nyd9Sexf/d2ajgnNKHqITnU3GypIScoWl3Pe8hevLhDwAABfF/3Gw71Nwrb/9ffWSxqevh7F92DrunZvzIu68kbfua6UExs8a3jAn7ESJvflucdUb+zcMV1dTXlEbObLBwkKdNbl3lvQrb33sns5REQkfLVvxelsu74DXQVU8GJNP0/PCWeSC/e7S5JDt4fmWLTzrKGlad2hd23JjW1n4sRERGzGnT2nkow8+9TV1TSy5kffO7z71vvCmiQpt04/I9N6dYw1yzkv93BwpwTAVwJ98PCZ9JsM9zbuMPdH0u92tLVJ8U1XTdt+S8Yu7jC6uVf4tO+a6MVc3r9+5zXbOfNddInv2LYOnV47e4WNf1vzlOu7l608kkbisNCbbxq0t5I3W97DXwePPWUxbd+G3tX+25Nu2nnuhJqtfu3pwwvsbf7mWNCqSwYDD85orENELadPa7pntk9HfuC4TrZ5T0+tW3m0wGtLoLs+Ebn4L+r920D/ngGZP3XWDdsyfWNC46WB7QyJyH3aeJd9S3t3YWb5tbMRvQreuPxwZrNlM9z1iSj33sL+ARdrBP697lsz2fNyDrbgAdQV+uDhc+k3Gd7djESC9r5tTErtZjdqH3T7ym9euaeXjxkxMehswbe/nA+Z31SPSMtl0qHdY+yuLxnS9RvfFdeclt66tda72p15Y9Y/yZc7mTg94tLVCzdj8kps7zMG7ov/PTjV9em6gNHTtr1ym3Ho5o5+1ppERIL6M4KvbRxZ/cn2GX7+c/dG1p9z4vFxf+n58JrWPrtCN/1gcmHh9z6T96Z3XvTv6en1tImIdJssCPnn529EpxaN8x0xc1u43fjdD87NkC4TpT68cC30dnw+K29ezmFYOac5couHh0dQUJC7u7uyCwGoHNHR0W3bto2KipJzn4kTJzo7CQLGD/p4kUMt76johMiXJ+1rWMuf6MSpS1u3nz9+/LhC5XKOn59f27ZtfX19lV0IqLSGDRv++eefbm5uVT81tuABAAA4CAEPAADAQQh4AHWFPngAkAMBD6Cu0AcPAHIg4AEAADgIAQ+grkQiUXBwsLKrAAAVhYAHUFfogwcAORDwAAAAHISABwAA4CAEPAAAAAch4AHUFfrgAUAO/JocgLpCH7zSRUVF3b17V9lVgErLzc1V1tQIeACAz+Hm5rZnz56TJ08quxBQaSYmJubm5kqZGgEPoK7we/DKNXny5MmTJyu7CgCZcAweQF2hDx4A5EDAAwAAcBACHgAAgIMQ8AAAABykugFf8D76acSbVCGr7EIAVBT64AFADtUIeDb31ZH5Q7u6N+vQf/Kmm2kFaVcWdbQ2sXet52SmbeEZeCauQNkVAqge9MEDgByq0CYnjtvr03DIaQ3Xdh4WD7eN7XAltMWrgy9b/bTF190gPnjNnKW9Bto8DR3vxFd2oQAAAOpCBQI+7+HaOad5/Q49PdCvmqYodk/POkPP2M4PP7yggYCIenR1yXDuumLDwxG/NhF8YqSkpKSjR4/KWSoUCiu39orav39/RkaGgoNoaGgMHjxYV1e3UkoC9YU+eACQQwUCPj/2fiw1WN7eSpOIeDae/epp3HDxdCpMc8a48bcutO9RgpDoUwGfmJgo57KR2dnZOTk5lVd3heXn5w8Z8v0I394KjnPi1KXatWu3a9euUqoC9SXtg4+KilJ2IQCgilQg4PlmDqZ0+trLnIHmesRmPr8eJUmjZ6ni9nqaRER5sffjyKSzcTkqdXNz27x5s6yl4eHhxsbGlVf35+DxeJs3BCo4yLPOUSyLcw8BAEAeFQh43cYBAfW3zO3aMW1UF4vYU5v2i1yq3Zs+bJHNulEt9OOCV/j+Guk4ZWQj7JAGAAAoNxUIeBLUn376RM7Iyet+XSK0azn4j6u/tbk0vNXoHvUXEhGRudeK0/Na6Cm5SAAAAHWiCgFPpF3de+m/3kv/u8HlaGSnS6cvvZZYN3Bv09RBXzW6+QBUCvrgAUAO1Qj4j2no1+wwoGYHZZcBoMLQBw8AcmDTGAAAgIMQ8ADqSiQSBQcHK7sKAFBRCHgAdYXfgwcAORDwAAAAHISABwAA4CAEPAAAAAch4AHUFfrgAUAOBDyAukIfPADIgYAHAADgIAQ8gLpCHzwAyIGAB1BX6IMHADkQ8AAAAByEgAcAAOAgBDwAAAAHIeAB1BX64AFADgQ8gLpCHzwAyIGABwAA4CAEPIC6Qh88AMiBgAdQV+iDBwA5EPAAAAAchIAHAADgIAQ8AAAAByHgAdQV+uABQA4EPIC6Qh88AMiBgAcAAOAgBDyAukIfPADIgYAHUFfogwcAORDwAAAAHISABwAA4CAEPAAAAAch4AHUFfrgAUAOBDyAukIfPADIgYAHAADgIAQ8gLpCHzwAyIGAB1BX6IMHADkQ8AAAAByEgAcAAOAgBDwAAAAHIeAB1BX64AFADgQ8gLpCHzwAyCEj4HMfbv1l+7ln70VVWw0AAABUChkBL0r8d/GIzi4mxnW6jFi48/zzdCQ9gKpBHzwAyCEj4A26HExKvH9ifUBzYehy3051jE1cvEb+vCv0RYa4ausDAFnQBw8Acsg8Bs9oWzXyHrdsz8XXmWlPQ3bMaKdxfdUPHWsbmbh29V+0+8JLJD0AAIDqKsdJdjzD6i4NGjZu1qJZTT5R5tPgHfOGezobWXmM2fUk+8tXCAAAABUmO+AlObG3j66fPbyzq6meXbNe49ZeZ1tP33D8blyOUJgcfnRp+/jNP/RaWYWlAgAAQHnxyr45K3Soc8c9iUQ6jm16+a9e3K/3Ny3s9Yq+Deg06DVjVdzB/00L/1J1ibIS30Rl6tdwtDaQUSLA1w598AAgh4wteA3jpn4r/7r44n3m68v7fpnUz71Yuhfew3rQkZdP/qicKgri//25X6vua18UEOVHHQ/sass3sK5dv7aNId+sdcDu8AxJ5cwDwCXogwcAOWQEvG7jyUum9a4Re2zDzjvpEiLKf757ycpdl2LzP9yD0TK1r2lvWhk15Nxb4PnN/BBNt7omGtl3FnXrtfSG3Yhl2w+dOLZv3czWCeuGt/f9Ow59egAAAOUna/+3JO3Cjx6eq59pd9zVb2gzI5JkPD4wZ+WcOWvnXA79uaUBU4klZN/5fdPzGj/e/ndZM93MkLG/P6kVeDd0cRNdIiLq2d+n5feufWetedR7RSPBJ0YSCoUPHz6UOU92NsuylVg4gHKJRKLz5897eXl96YkkEkl6evrdu3cVHCc1NdXUVNGtAg0NjUaNGjFMZX4IAXCSjIAveL190upXLZbcDJ7VwkiDiHSarXiQ3G9Zl9Zzx24bfnNKLX7llSDOSc3WsG/pqEvEClPf5ho171Rbt2ipplX7/g2Y/z2MF9InA/727duTJk2StTQyMjI5ObmyqgZQOmkffFRU1Jee6P6DZ2Fh90aPGqrIIBKJ5OGjlw3daitYzPMXUWfOBLdu3VrBcQA4T0bA574IfcZrt3eMNN2lNIyaj57Wat7Qs89zKzXgdWt3qUezt/3vVS//mgb1O9fK/ON4eGaHVoV7CcQJ5/eFs9Yjqml9eqTWrVvfuXNH1lIPDw9LS8tKKxvgqyEWS9q1aXL8SJAig2RkZFvadr5zY4+CxXToPEokwiE7gE+TEfCaemZ6ogdRaQVkWizKC1LevJPo2etpVm4Jjj+snba59aimba/8OLZfwzG9CqZ80yl7wZQ+DU1zXl7YuWz5yZw2a8bU/9TmOwAAABSREfC6jUcOtGn3Y4/xhn8s+N7dRsCwwqS7e+cN+ynC4oe1jXTLftDnYgxbLbt6v+FvK4J+992dQkRECVt/HLyViEinTvepO4/NH1qrHBvwAAAAUEhGwDMGbX75Z1PWd5NGtto6koivSQViIsah968ngzoYVf7ZLRrGjQYv2jd44fZ3sdFx8QkJSRlkaFmtmq29k52JFk6mASgL+uABQA6ZV5Fh9BqM3h323ZzLIdcfvYhK17KpVa9FJ08380o8+P4xDR3zGnXMa9Rp+CUnAeAI9MEDgBzyLxOnaVi7Q9/aHaqmFAAAAKgsMgNenHx57U9L9t6IzCh1vqp++80XNrfX/9KFAcAnVFkfPACoIxkBL47fP6zrlH90W/br08Wu5FnzgroWuDo8gAqosj54AFBHMrI6O2xfaG6T3x9dnuj0RQ+6AwAAwJcgI+A1dE0MTA3qWyLdAQAA1JGMH5vRbzp+mEXob/tf5Ze9HAAAAFSZrGvRv8+sP6TD8TG1a+7u36NFLSsDflEzurbz4CmDnbWrqkAAkAF98AAgh6xr0Uf8sXBVcIahET0KPvAouPgiQy+PcQh4AOVDHzwAyCEj4A299kemVm0lAAAAUGlkHIMvwha8j30R8fBpQq6kSuoBgPISiUTBwcGfvh8AfJVkB7wk494m36amWibVa9dz674+ImJN5ya9Fp1PEldhdQAgm7QPXtlVAICKkhXwoqgd/duO3ZXRce6W3Qua6jDEs3TvanV1Xuduq58Lq7RCAAAAqDAZAZ8fsWVJsM73x64d/Nm/VwsrLYY0jFpMP3R6st29oPVhuVVbIwAAAFSQrICPfRCv1fy7dhYlluvV7uCs+fbpW2zCAwAAqDYZAc+3dDYXPjwTls4WvzXnxdVXYgtnC62qqAwA5EMfPADIISPgdRqMDmgSv/7bbyZtPRsWlyMW5757dXmDX59folxHjnTTqdoaAaAs6IMHADlk/TCctuuPp0PY8WPnjvJaS0R0oWO9VWTr9dOxrXMaId8BAABUnOxffuVZdZx1KGJC7NOHEc+iMgS2tVzr13M0wa/PAKgK/B48AMjxiZ9219S3q+dhV8+jaooBgArA78EDgByyfg/++ox+M65nl7VIz2Pl4ZUeel+yKAAAAFCMrN+D17Gwq1GjqN9dIsxIfHHnYliiVZdxYxuYfWKzHwAAAJRMRlbrNJq+7a9St4neXZjbpV8Ib1UN/JQcgFyxsbFCoaLXi+Dz+dWrV6+UeuALiYqKEosVvXy3QCCwsbGplHoAiqvAxjjPvMOsZe03+a65N3lLK90vVxKAektMTHRycqxuZ6XgOLFxSU+fPnN0dJR1B/TBK1dYWFjLli1sbSwUHCcm9m1qapq+vn6lVAVQpEJ72yV5qWlZqblpoi9VDQAHCIVC62rmr54dV3Ac1wb98vPz5dwBffDKlZ+f39DN+ebV3QqOY2LZQSTCpypUPhkBL4z+Z+8/0SV2MUryEu/sWXFB5LbaBY3wAAAAqk1GwOeG/z5h9D+lz6LXsW7m+8dufyc0wwOoAPTBA4AcMgLeyPtMFlv2IgBQDeiDBwA5ZP0ePAAAAKgxGQGfcaaXudanmfeq2moBAACgXGTsotdtFrhmQrxv0B39Zj4DOzWorp8XFx6y7+DtjPrD541oYvTha4GWQ1XVCQAAABUg60p2FHdw+0O3RXdDA5voM9Lbliy7vbBdm7WPa/2619scu/YBlA198AAgh4ygzn7w59lsj5lji9KdiBiDZuNnNH9/cuf9Mq9RDwBVC33wACCHjIBnNPgaosTnSSUvtil8+zxJQji7HgAAQNXJCHi9xsO7Gz8N7BPwZ1ia9ELLotT7uyb0XfBCt8MgN/yUHIAKEIlEwcHByq4CAFSUrC1402/WHV3Q+f2WYY1MefqWNhZ6fLMmP2yLazLhr819rHAAHkAFSPvglV0FAKgomdei1zBrP/9s1KgbJ45dfvgi+j3f0tGlRbd+XeoYIN0BAABUnvwfm9G2btlrkF3D+DSxSa3a1jrIdgAAAPUgO7MlGfc2+TY11TKpXrueW/f1ERFrOjfpteh8kqK/fQwAAABfnKyAF0Xt6N927K6MjnO37F7QVIchnqV7V6ur8zp3W/1cKOMxAFCV0AcPAHLICPj8iC1LgnW+P3bt4M/+vVpYaTGkYdRi+qHTk+3uBa0Py63aGgGgLOiDBwA5ZAV87IN4rebftbMosVyvdgdnzbdP32ITHgAAQLXJCHi+pbO58OGZsPQSV7XJeXH1ldjC2UKrKioDAPnQBw8AcsgIeJ0GowOaxK//9ptJW8+GxeWIxbnvXl3e4NfnlyjXkSPddKq2RgAoC/rgAUAOWW1y2q4/ng5hx4+dO8prLRHRhY71VpGt10/Hts5phHwHAABQcTICXpIdF5lRc9TexxOSnj2MeBaVIbCt5Vq/nqMJv2rLAwAAgM8hI+CzLo2u9+3dkTderW9Zz8OunkfVFgUAAACKkXEMXr/llFHOqce2hb4VVW09xeRFXTx26u47XFgHoGzogwcAOWRswYtzGY+AsXdnezvf8u7Trr6TlT7vww/Da9caGDCwlvYXr0yccnZan+kuoTF/ttf/4pMBqCH0wQOAHDICPvfRxhmB/2YwBvTm4pE3F4svMuzabFSlBnzO3SWjltzNKX0zm/PyEfs+ZvbgvlY80m0auCWwqW7lTQoAAMBpMgLesOvB2IwqKkFDSzMm5MilTCLzOm62gg97Clhhch4RE//mdbYm6dvmSMo1WHp6ukRS9l3FYuztB04RiUTnz5/38vJSdiFVimXZzMzMtLQ0BccxMTGplHoAVFbpgL8bEiKp1665dRVey0bQYNa51+3WjRvy42FhncDtGya0MucRkThum3v16S47r5d/F31oaGi/fv1kLc3MzHz79m3l1AygAqR98FFRUcoupEo9jng1ePBAHk/+L2F+Ql5e/oIFP8+YMaOyqgJQQaX/SKZ16ZK3O/HqUCsNIjb99pagELPhP/o4fuG855m3mnzgkffhOcNGtHY6MPmP3Ut8nD/jIICnp2dqaqqspR4eHlZWVoqUCQBKJxZJThxZ3b5dU0UGWbLsj4yMqtpJCaAk8n7iXZJ+Z/PCZYfeVM2l5xndWj6rLr26stDu6MA6dfuvupJUUCXzAgAAcJC8gFcCnnnrKX8/fnagT9yCDk0m32E//QgAAAD4mELHsb4MRte5f9BlzwHbV+17pOlhh1+2ASgb+uABQA4VDHgiIuKZe4xaigvoAciBPngAkEPFdtEDAABAZSgj4G8MsxVoaWlpaQkcx92nzAOdTLSKM+91BiefAqgA/B48AMhRehd9v0mjaufKfYROAzv8pByACvg6++ABoJxKB/yE1ZuVUgcAAABUIhyDBwAA4CAEPAAAAAch4AHUFfrgAUAOBDyAukIfPADIgYAHAADgIAQ8gLpCHzwAyIGAB1BX0j54ZVcBACoKAQ8AAMBBCHgAAAAOQsADAABwEAIeQF2hDx4A5EDAA6gr9MEDgBwIeAAAAA5CwAOoK/TBA4AcCHgAdYU+eACQAwEPAADAQQh4AAAADkLAAwAAcBACHkBdoQ8eAORAwAOoK/TBA4AcCHgAAAAOQsADqCv0wQOAHAh4AHWFPngAkAMBDwAAwEEIeAAAAA5CwAMAAHAQAh5AXaEPHgDkQMADqCv0wQOAHAh4AAAADkLAA6gr9MEDgBwIeAB1hT54AJADAQ8AAMBBCHgAAAAOQsADAABwEAIeQF2hDx4A5EDAA6gr9MEDgBwIeAAAAA5CwAOoK/TBA4AcCHgAdYU+eACQAwEPAADAQQh4AAAADkLAAwAAcJAqBbwoM/51VHKOuNTN4ux3iYmp+axSagJQXeiDBwA5VCPghbGn53Suxje0relgqWfhPm7vi9yiZQWv1rWztu73T4YS6wNQReiDBwA5eMougIjyI4J6ei951mTkiuWeJrEX967d+L37O/6jff2tNZVdGgAAgHpSgS34nHtrg+5b+B0L2TLjh8H+czafvbu3j/jgiHH/Syy9sx4AikEfPADIoQJb8KLUN6kadbs3NWak/+fZDVi7fk+dIZMWXPba2MGoAiNdunTJ19dX1tL4+Pi3b99+Xo337t0bMGAAyyp0IoCCD+ewjh07RkVFKT7Onj17PDw8FBnh7NmzY8aMUbAMkUik4AhScfHJXl5efD5fzkTx8fE1atSQM0hKSsqiBaMqpR4uCX/4Ijjk9r59+xQZJD8/39bGuLJKAqh0KhDwfMs6lpK//72X1qeTiTTjNW0HrFu1ve7ogeO7hu3yLv9I7u7uZ8+elbXUx8fH0tLy82qMi4uzr2G6ddPcz3u4VFZWTotWwxQZgavu378fenaDoaG+IoMETF4RExOjYMBHRUU1a1Jz2ZIARQa5/+DZ1Gm/KTKCVH6+8I/NP9WsaSfrDvHxyQO/n3X2zGo5g3j3mqh4JdyTmpYxeFCXH6cMVWSQw0fOHTocUlklAVQ6FQh4nQYjRtZds7Brm8xZY3p07t6zvZMew3f027nlVINh/TuyC0YIsss5kpaWlpOTk6yl2traDMN8dpl6ujpOjraf/XAiysgo7xP5CjnY2xgbGygygr6ebqVUYmiop+ALnZSUWimVEFH16lZyiuHxNHmamvKr1dLSqqxiOMbExFDBF9rC3KSyigH4ElTgGDwJ3GafOTbDM/PAkomDR2x/LSQiIl71oQdu7/HVOjZ32vZoJRcIAACgblRgC56ItGr0XHG2x6L0hNh3mjZFGxwC5++33vdZFHbpSlg0v4GOMgsEUEGWFqazZsg86QQAvnKqEfBERMRoGdk4lT6njtGu1qiLTyOlFASg2gQCrbGjfZRdBQCoKFXYRQ8AAACVDAEPoK5EInHw2RvKrgIAVBQCHkBdxSck+49ZpOwqAEBFIeABAAA4CAEPAADAQQh4AAAADkLAA6gr9MEDgBwIeAB1hT54AJADAQ8AAMBBCHgAdYU+eACQAwEPoK7QBw8AciDgAQAAOAgBDwAAwEEIeAAAAA5CwAOoK/TBA4AcCHgAdYU+eACQAwEPAADAQQh4AHWFPngAkAMBD6Cu0AcPAHIg4AEAADgIAQ8AAMBBCHgAAAAO4im7AKiwyMj4UaNGGRgYKDJIenq6RCIxMTFRZBChUJiSkmJtba3IIESUlZWl4AhE9PxF1E8//bRy5UpFBnn37l2XTo0VL6ZqoA8eigQFBf3111+KjzN69Gh/f3/Fx1Hc+PHjb968qeAgqampfD5fwU9LIvLx8Zk1a5aCg1Q9BLz6SU/PWvnTiCaNXRQZZPzE5fXq1hw3pr8ig5w8deng4XOb109RZBAiau4xVMERiCglJX3cmAFdOrdUZJD5P29WvJIqgz54KHLjxg2fPq0UfP8fPX7h1q1bKhLw58+fX7zQz8HeRpFBBg+d3atH24H9vRQZ5PKV++cvXlNkBGVBwKul2s41mjZxVWQEAwM9a2tzBQd5+Oilnp5AwUEqkZOTrYLFmJkaVVYxAFVM8ff//QfPzZvK6QAAFC9JREFUEpMSKqsexdWrW9OljoMiI+joCKrbWSm4WuITks9ffK7ICMqCY/AA6gp98AAgBwIeQF2hDx4A5EDAAwAAcBACHgAAgIMQ8AAAAByEgAdQV+iDBwA5EPAA6gp98AAgBwIeAACAgxDwAOoKffAAIAcCHkBdoQ8eAORAwAMAAHAQAh4AAICDEPAAAAAchIAHUFfogwcAORDwAOoKffAAIAcCHgAAgIMQ8ADqCn3wACAHAh5AXaEPHgDkQMADAABwEAIeAACAgxDwAAAAHKSCAS/Jz3iXlJojYpVdCIBqQx88AMihIgEvyX4dsmFy9/rV9HmMpsDIwspMj6/B6Fk36jVl3T8vsiTKrg9ABaEPHgDk4Cm7ACKSpASPb9510xv92p69RvV3s7c0M9alnPep72Ijrv37Z0C31esmhlwL6mSqIl9GAAAAVJ8KBLzw6YaATXEtf772T6CHcekQX5n9eNPA1uMmbBwTFuiqpZT6AFSUSCQ+H3rbq4u7sgsBAFWkAgGfF3n9DdNy8biP052IGL16Q3/8drb3tTd59MmADw8PX7x4saylL1++fP/+/efVyDDM3XtPBnw38/MeLiUSiQsKRAoOQkTZObkLFm22MDdRZJCHD1/ExSU9fx6lyCCRUQmvXsco/oxYlvUduYDPV+jdmJKaHvT7X4cOhygyyO07EQzDKPiMUtLS36W8V3y1iETiKdN+M9DXlXWHnJy80It3undrI2eQqKiEHbuOX75y/+NFye/SiGh8wHJdXYH8Sh5FvEp/n4X3fymV9f7PyMj29fXl8/mKDHLjxo3oqCcKvv8fR7zOy6cBAwYoMohYLH7+/Lmrq6sigxBRfHy8/Pd/ech5/1egkoRkM3N7RUZQFoZllX0yW97dqc7N/mx3OHxXX+uPP+ElaZdnNGt/oMet56ub6XxipJSUlPPnz8tampCQ8MMPPxgaGn5GjZmZmf/++6/i6+r169dOTk4KDhIbG2tpaamlpdAOjffv34vFYjMzM0UGKSgoiI+Pt7dX9K1fKaslISHByMhIV1ehj4OsrKzs7GwrKytFBmFZNjIy0tHRUZFBiCgqKsrOzk5TU1PWHd69ezdv3rwNGzbIGeTdu3d8Pt/IyOjjRePHj09OTl6/fr2FhYX8SnJzc9PS0mxsbMpZuSx4/5epUlZLTEyMmZmZirz/X7586ezsrMggRPTy5UtHR0c57//ykPP+r5D69esr/pWl6qlAwFPB683d6o85J2g5ZMz33u0bOliaGetSbnpacszjq2cObP0jNLXD+kfB42oq9P0WgHOio6Pbtm0bFfWZm6EODg5RUVGRkZGKRxQAqCAV2EVPfKdRx8Ks1y1dHrRs4p5lJZdZtRw8/+C86f2Q7gAAABWgClvwRSR5aYlxcXFxcYnvWX2LatY2dg7VzQU4eR6gTHl5eTt27Bg7duznPRxb8ADcplIBDwBVBwEPwG3YPAYAAOAgBDyAuhKJRMHBwcquAgBUFAIeQF3Fx8f7+/sruwoAUFEIeAAAAA5CwAMAAHCQKvTBq4E3b94EBQXZ2toquxBuevbsWZ06dZRdhfp5//59RkbGihUr5NwnMTFRR0enzCt5ZWRkENHGjRtNTBS67OtXq6CgICYmRvGL0EGZYmJili9frq+vr+xC1BgCvlwuXrx45syZfv36KbsQbtq7d+/YsWO1tbWVXYiaEYlELVq0SEtLk3Ofy5cvm5qaNmnS5ONFZmZmIpGooKBA/gggS0JCwtmzZ4cNG6bsQrhp//79fn5+Zb51oZzQB18uJ06c2Lp16/Hjx5VdCDeZmJi8efPG2NhY2YVw0MSJE52dnQMCApRdCAfdunUrICDg5s2byi6Em1xdXY8cOeLi4qLsQtQYjsEDAABwEAIeAACAgxDwAAAAHISABwAA4CAEPAAAAAch4AEAADgIAQ8AAMBBCPhy4fF4PB4uCvSl8Pl8TU1NZVfBTXjrfjlYt18UVq/icKGbchGLxZmZmbgSyxeSkpJiZmam7Cq4KSsri8/n4yqBXwLLsqmpqXjrfiH4WFAcAh4AAICDsIseAACAgxDwAAAAHISABwAA4CAEPAAAAAch4AEAADgIAQ8AAMBBCHgAAAAOQsADAABwEAIeAACAgxDwAAAAHISABwAA4CAE/Cflvfp7chdXC76GgX3LwatvpkmUXZDqSz/tLWBK0PcJySxcKGd9ft6ir0TOjfH2NcbeyClxY6WvzK92PZexevE2VpQwLnjp0E5utjqMhkH1Zt+tPJ9QULQMb90qwYI8ooSD/YyJ7HvPXLV2kV8zATGNlzzMVXZVKk744tf6JGgxZv7iD5asPhaZz7Jy1+fnLfpKSLIereukS1Zjrmf/d2Olr8yvdj2XuXrxNlZQ1s3pzkT8+oPnrP1j46LhjXWIXGbfzmJZvHWrDAJervzHP9cmTfe1L/NZlmXFySeHmJHhgH/eK7su1ZZ1cZgp03h9pOijJXLW5+ct4j7J+0s/dWtkp0VEVDKBKn1lfo3rWfbqxdtYMZK0U330yGL46Xdi6f/fnx9Vjfid9r+V4K1bZRDw8oiiNjQmar07QVx4Q9YlXzOyGnMtW+7DvnLi+J0tGb2+wRksKy4QSYotkbM+P2/R1yDr8V+/LF68eP7o5oISCVTpK/PrXM+yVi/exgrKf7K4Dun2+Te96Jb3J77hk/OCR/l461YZHIOXJy/mbgyZuzgZflhN2rZuNvT2YWQ2q9S6VJsw4WE8y0YGdbXja/J52lYN+6+48FZEJHd9ft6iKn9uSqBXd/C0wMDAmSNbmf2/nXuPi6Jc4wD+zF5YloUF5apcVFQS4YBgqJVoqOEtUbKjYXnU5CKanchSD3o0EC21TPOk4gVMs8xEtGOZePloqWlpakfIS6IIIhdBYGFhd9l9zx8LCMquiAh8Zn/f/3Zm3pd3Hl74MTPv0GB7ixfTNOtsqLyYxk9I3DV8/58X1wda1W6ozDx5RSNy83QQY+q2GgS8MbrywnKycrQS1m4QWjnKiSqKldq2HFY7V5VzKY+UGYU+Mcmpe7bGj2DfzQ96bu4pBTNWz+btau1Ta09avJiocwOYxk+GM3fs0auHo5QjImIV6Ylhwz+60fnNBcPtOEzdViNq6wG0a4yIiOMabGJETIcFmoYxic/8XXtj/YIDu0g5Iho72lvtMebz+LTYAy8RGaqnkVLju9Co5lUMdW4iTOOWorp1YPnMyMXf57i+uuHgp0HWHJURYeq2DlzBGyOU2VmSoqC87s9AraKgnMjSViY01sy0cdKuL44bO0j/a5GIBHaDpg62UF/+NVtlpJ7N29Wa59XetHgxUef6MI1bAFNe2REV0GPU4t883tuZkbErytOCCFO3FSHgjTF39Xeloqu3ymuf5KjzMvLIycfdkjPazqSpcs8dO3ahUFN/G0dkJpMIjNSzebta7aTaoRYvJupcH6bxE9Pc2jH5+Tc2KiZsSc88vHKiZ92JYuq2nrZe5de+qS7FeZBk6NbsasYY05Uej+5M1mFppY9qZ8oUx/7RkWwm7CuoWdGqLdg7wYbsp/+kMFrP5u0yHcrf/un8wGtyLV1MU67zQ+XFNH5Curv7Qi3JecahIu1D+zB1WwsC3rjq3G/GyUnsF712V8qWBcM7Eue37FJVW4+qfav837K+AhJ7v/7BuqRNq+aOcyeSBW/MVDNmtJ7N22UyHg74li+mCdf54fJiGj8ZxdEwOUmejbr/f4ISEhISlm89V6LF1G01CPhH0Zae2xAxxNNOzFl1GzBhSdodTVuPqP2rLjq9Pnqkv5slkcylT8jC/968/6NmpJ7N22UiGgn4p1BMk61zY+XFNH4C2pzNAY3dMvZZnalhDFO3lXCMmfqbggAAAPyDRXYAAAA8hIAHAADgIQQ8AAAADyHgAQAAeAgBDwAAwEMIeAAAAB5CwAMAAPAQAh4AAICHEPAAAAA8hIAHAADgIQQ8AAAADyHgAQAAeAgBDwAAwEMIeAAAAB5CwAMAAPAQAh4AAICHEPAAAAA8hIAHAADgIQQ8AAAADyHgAQAAeAgBDwAAwEMIeAAAAB5CwAMAAPAQAh4AAICHEPAAAAA8hIAHaDMrvDiO8/rgYmX9jdpb6/05bnDKvRb5EuqMeA+B67vnKh99aEuourxhgoeME/T5+JqmCYerru1YEpeUrnzq4wIwRQh4gLaVER++7oq6rUfRMpQX1nzwbWHQhymJE11ETThedW3Hkrjk9Er21EcGYIIQ8ABtytZddjY2KvlGUy542z1dZUkl1z3kjZD+rlKurQcDYOoQ8ABtyXxAXOIky+NzZu+6rW1ktyIt1ELw3PZ8Xe3nw69aCvon39ERKc/M6mT2/KbDieGDelgLJY4+YxN+ysv54V/De9mJOZG9/7Tkq1W13VRl7n5vlI+ThJN28nl54fc5dTcMdIqLmyODPB3EHGflHjQr6Q+F/mJaeSrSwWzwrss/vPOsXNQrPqPhHQZN7sG40L5uVhwnc/YZ+X5KZhUj0t1J7m81ZGcZOxflKvL8sMFNCV3J2Q2Rge42Qo4T2z4zct6eLDVprq3wsh59QMNOTLQTBGy+rTU0GHVGvIeZ74qju+aF+Hc25yxc/F9ZciS/2nDPAKDHAKCNLO9N5iE/Ft/+aowldZi4N1/LGGPVWev8iAbtLmaMsbKD46TcgG152poWZYfGy7h+SblaxipOz3QiQUfHvhFrdu//OmG0LRHJ5c7Bscn79m6c1UdE4qDtuVpVelxPIpFA3HXcvz7bvC5+io8ZkcPk/YVaxlj52UU+HEn7Tv9w87b1iyb05Mh8yPrrasZYxckIe+oc1MfeNTDs7Y+PFlTfH7Q2f98keyLbIe+sSvpi7fwQVyLZiOQsDasuy77wxSgL6h137HJWsbp+iz3jrcnMd9KCz5ISl0a+ICdBv9XX1Op7Wb8nDhSQ36enr2aXagwORpUe15OEthZitzHz1mxeFz/F14zILfroPZ2hnlvp2wfQziHgAdqMPuBLmebGxiAJOU4/VKx73IB/PjFLwxhjmszVPkT2046U6BhjrPz4NFtynXOuUh/wkqFbs/UZrSs9PqMTUd+1mRpt3s5gCbm+fbJMxxhjTJuf+qo12UecqKgJeHKcfrBI+8CY1VdXehN5L0uv0n/W3EwcKKQuc89XMsYUR1+Tc30Ts6sbNKk4GelAnd86o9Q3uP1d7NSIVReUjLHS70eKuYHf3NUxI4PRn4L4xS23NLWnEN2JBC9sya423DMAMNyiB2hzoq5T1i8LKNwSHveL4vHWm3UNGuAoIiISWTtbE/Ua4WvNERGJOnS2JqZj+t6kwTFjXYRERMTJ+8+c7k6XfvxTqUzfe1rVJWyav5X+cbnAYWhUsGXhL6dza9YDOIZOH9jxgV8RrOziDxnkP+uNZyQ1Y3cLnR0oyDrya2FjjxiIiEjSdZCfNDfxzamLth5Jz692GrM0eWOMr7TBMY8ajGRYTKirqPYUoqe7687vz1A2pWcAk4WAB2gHzJ6J3rTIK2vNm8vPVxiN+Ad2iiTieovZOLF5o2vXbbrYS+o+iO2625OqpEytvpdbRlkr/KRcLflL35aTokBRE9UdXDs81J1OebdUJ7R1kQvrvqjUwVlOZXkKgwEv7By280TyW+5XN0wb5u0k7eAVErvn+gMr5zWPGIy164OnoCwoVgma0DOAyWrKqywA8NRJfeZsmbNtwLLwtS9MNngQU5cVNyO/SrIKVUQ1F7aa4ptFJPO1lYjJzoI8YtJ2T3IW3j+WM7PtJiEdEREnFDy0FF5gYScXaItySrVkrW/Fqu7eUZClvaXwwWPrtbLxn7rqu6mfaO5dP71/64r5S8ePMb90fpHX/SNEcsODySSiklsFVUQW+s3VxTeLyNzTxowz2LOEAEweruAB2gfOst/CzVGdzv97RvKNels5jpXeLtFfxuryDyed0Rlob0Rl2qq9OfouWNnp/2z8SxQw1ltm4TnaT5R14oZlz9567ixt/pTZ23N0Rt5w4+S+o3rT75/vuKLSb6jOSll9XOs2dICDoYDX5m4PdnAY8WWulhN36BE4efGqGC/669TNqvoHPWow6iOfpt6qrjmFM+s2/UW+o3ubN6VnAJOFK3iA9oKzGZyQOGn3mK+K6jZJ3J7rSalLwmMd5gbJrqcuTzgrFz3+X+Wc+c/hA1+5HPOy672fEpd9ecdjzu5xTgIhjV8anfBiVEDwH++F+cuyf975+dZTzgsX97IgMvy/5cTuU5aErQyNHTQqP3aSj/BKyoqVJ6Ujk2f/zdxQC6FdwDCXwnkRY8KzIoOcyi8d2rY2XTZsro+MSCkQCtjNg/sOdx8RaHgwRESkOR45MPTKuyFdSk9sXLYt1yXiiwkuZjKDPQMAXpMDaDu1q+jrqc79OsSK6lbRM6b8Mym8n5MZkWW3Aa99dPBobHdJvVX0HvEZKv1xRd8GEjdkX4n+U9UfC9zJJeasUpUe11PSd3XalplDPe1EJHN99u/Lf75bt8q9+u6JT8L6d7PmiGTOAa+vPJqnX6lecTLCnjw/utL4G2fqnAOLx/ZxsSQyd/Ie8X5KZmXNjsZX0TOmupka+7KnnYSIRDbug2ck/nZP/0pgbmp0PwcBSYO252oNDUaVHteTOkWlpsSO7G0nIkknn5DFB+9ojPcMAIxjDCtSAKD9UmfEe3ttGH7m+tp+WB8P8BjwDB4AAICHEPAAAAA8hIAHAADgITyDBwAA4CFcwQMAAPAQAh4AAICHEPAAAAA8hIAHAADgIQQ8AAAADyHgAQAAeAgBDwAAwEMIeAAAAB5CwAMAAPAQAh4AAICHEPAAAAA8hIAHAADgIQQ8AAAADyHgAQAAeAgBDwAAwEMIeAAAAB5CwAMAAPAQAh4AAICHEPAAAAA8hIAHAADgof8Dr+WL2rzRyIwAAAAASUVORK5CYII=" /></p>
<p>And now the median and mean values:</p>
<pre class="r"><code>with(ds.full.date, cat(
sprintf("Median: %.1f\nMean: %.1f", median(steps), mean(steps))
))</code></pre>
<pre><code>## Median: 10395.0
## Mean: 9503.9</code></pre>
<p>As can easily be seen, the biggest difference is the left shift that occurred with the mean. This was to be expected, since the mean itself is very sensitive to extreme values (high or low) and when we replaced the <code>NA</code>s, the new values introduced in the dataset were mostly low, skewing the data distribution a bit. The median, however, remains close to its original position, due to its inherent resistance to extreme values (it is a better indicator of the data’s real center).</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>Are there any differences in activity between weekdays and weekends? To answer this, we must first make sure we know the weekday for each date – we’ll create a new <code>wday</code> factor variable to represent that:</p>
<pre class="r"><code>is.wday <- as.POSIXlt(ds.full$date)$wday %in% 1:5
ds.full$wday <- as.factor(ifelse(is.wday, 'weekday', 'weekend'))</code></pre>
<p>Here’s how it looks like now:</p>
<pre class="r"><code>ds.full[randomsample,]</code></pre>
<pre><code>## interval steps date wday
## 16072 2155 0 2012-11-18 weekend
## 16462 2225 0 2012-11-07 weekday
## 5027 650 29 2012-10-05 weekday
## 14587 1955 0 2012-11-27 weekday
## 11272 1520 0 2012-11-08 weekday
## 9117 1225 0 2012-10-08 weekday
## 12936 1740 26 2012-11-10 weekend</code></pre>
<p>Now we’re ready to re-aggregate the data, but this time we’ll keep the newly created <code>wday</code> column as well so we can later on plot the data separately for each level of this factor:</p>
<pre class="r"><code>ds.new <- aggregate(steps ~ interval + wday, data = ds.full, FUN = mean)</code></pre>
<p>And now we plot the <code>steps</code> by <code>interval</code>, conditioned (separated by) the levels of the <code>wday</code> factor:</p>
<pre class="r"><code>library(lattice)
xyplot(steps ~ interval | wday, data = ds.new,
type = 'l', # time series
layout = c(1,2), # 1 column, 2 rows
xlab = 'Interval identifier',
ylab = 'Number of steps taken')</code></pre>
<p><img 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" /></p>
<p>The above plot clearly shows that during weekdays there is a period (from about 900 to 1800) during which the number of steps is significantly lower than the same period during weekends – these discrepancies can be related to working hours (during weekdays), during which people walk considerably less, whereas during weekends they tend to go out and walk more during those same periods.</p>
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