1086 lines
36 KiB
HTML
1086 lines
36 KiB
HTML
<!doctype html>
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<html>
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<head>
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<title>D - Patisserie ABC</title>
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<meta http-equiv="Content-Type" content="text/html; charset=utf-8" />
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<meta http-equiv="Content-Language" content="en" />
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<meta name="viewport" content="width=device-width,initial-scale=1.0" />
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<meta name="format-detection" content="telephone=no" />
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<meta
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name="google-site-verification"
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content="nXGC_JxO0yoP1qBzMnYD_xgufO6leSLw1kyNo2HZltM"
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/>
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<script
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async
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src="https://www.googletagmanager.com/gtag/js?id=G-RC512FD18N"
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></script>
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<script>
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window.dataLayer = window.dataLayer || []
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function gtag() {
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dataLayer.push(arguments)
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}
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gtag('js', new Date())
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gtag('set', 'user_properties', {
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login_status: 'logged_out'
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})
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gtag('config', 'G-RC512FD18N')
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</script>
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<meta
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name="description"
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content="AtCoder is a programming contest site for anyone from beginners to experts. We hold weekly programming contests online."
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/>
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<meta name="author" content="AtCoder Inc." />
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<meta property="og:site_name" content="AtCoder" />
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<meta property="og:title" content="D - Patisserie ABC" />
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<meta
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property="og:description"
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content="AtCoder is a programming contest site for anyone from beginners to experts. We hold weekly programming contests online."
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/>
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<meta property="og:type" content="website" />
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<meta
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property="og:url"
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content="https://atcoder.jp/contests/abc100/tasks/abc100_d"
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/>
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<meta
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property="og:image"
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content="https://img.atcoder.jp/assets/atcoder.png"
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/>
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<meta name="twitter:card" content="summary" />
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<meta name="twitter:site" content="@atcoder" />
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<meta property="twitter:title" content="D - Patisserie ABC" />
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<link
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href="//fonts.googleapis.com/css?family=Lato:400,700"
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rel="stylesheet"
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type="text/css"
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/>
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<link
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rel="stylesheet"
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type="text/css"
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href="//img.atcoder.jp/public/6372bb3/css/bootstrap.min.css"
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/>
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<link
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rel="stylesheet"
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type="text/css"
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href="//img.atcoder.jp/public/6372bb3/css/base.css"
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/>
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<link
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rel="shortcut icon"
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type="image/png"
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href="//img.atcoder.jp/assets/favicon.png"
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/>
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<link rel="apple-touch-icon" href="//img.atcoder.jp/assets/atcoder.png" />
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<script src="//img.atcoder.jp/public/6372bb3/js/lib/jquery-1.9.1.min.js"></script>
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<script src="//img.atcoder.jp/public/6372bb3/js/lib/bootstrap.min.js"></script>
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<script src="//img.atcoder.jp/public/6372bb3/js/cdn/js.cookie.min.js"></script>
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<script src="//img.atcoder.jp/public/6372bb3/js/cdn/moment.min.js"></script>
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<script src="//img.atcoder.jp/public/6372bb3/js/cdn/moment_js-ja.js"></script>
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<script>
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var LANG = 'en'
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var userScreenName = ''
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var csrfToken = 'GAGswbeHt5p1jIJSPp2R1sTxFC3jW6sLK2K7L2aRmUI='
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</script>
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<script src="//img.atcoder.jp/public/6372bb3/js/utils.js"></script>
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<script src="//img.atcoder.jp/public/6372bb3/js/contest.js"></script>
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<link
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href="//img.atcoder.jp/public/6372bb3/css/contest.css"
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rel="stylesheet"
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/>
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<script>
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var contestScreenName = 'abc100'
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var remainingText = 'Remaining Time'
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var countDownText = 'Contest begins in'
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var startTime = moment('2018-06-16T21:00:00+09:00')
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var endTime = moment('2018-06-16T22:40:00+09:00')
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</script>
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<style></style>
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<link
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href="//img.atcoder.jp/public/6372bb3/css/cdn/select2.min.css"
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rel="stylesheet"
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/>
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<link
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href="//img.atcoder.jp/public/6372bb3/css/cdn/select2-bootstrap.min.css"
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rel="stylesheet"
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/>
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<script src="//img.atcoder.jp/public/6372bb3/js/lib/select2.min.js"></script>
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<script src="//img.atcoder.jp/public/6372bb3/js/ace/ace.js"></script>
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<script src="//img.atcoder.jp/public/6372bb3/js/ace/ext-language_tools.js"></script>
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<script src="//img.atcoder.jp/public/6372bb3/js/cdn/run_prettify.js"></script>
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<link
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rel="stylesheet"
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href="//img.atcoder.jp/public/6372bb3/css/cdn/katex.min.css"
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/>
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<script
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defer
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src="//img.atcoder.jp/public/6372bb3/js/cdn/katex.min.js"
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></script>
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<script
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defer
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src="//img.atcoder.jp/public/6372bb3/js/cdn/auto-render.min.js"
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></script>
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<script>
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$(function () {
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$('var').each(function () {
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var html = $(this)
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.html()
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.replace(/<sub>/g, '_{')
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.replace(/<\/sub>/g, '}')
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$(this).html('\\(' + html + '\\)')
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})
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})
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</script>
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<script>
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var katexOptions = {
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delimiters: [
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{ left: '$$', right: '$$', display: true },
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{ left: '\\(', right: '\\)', display: false },
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{ left: '\\[', right: '\\]', display: true }
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],
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ignoredTags: [
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'script',
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'noscript',
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'style',
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'textarea',
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'code',
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'option'
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],
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ignoredClasses: ['prettyprint', 'source-code-for-copy'],
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throwOnError: false
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}
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document.addEventListener('DOMContentLoaded', function () {
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renderMathInElement(document.body, katexOptions)
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})
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</script>
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<script src="//img.atcoder.jp/public/6372bb3/js/base.js"></script>
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</head>
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<body>
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<script type="text/javascript">
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var __pParams = __pParams || []
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__pParams.push({
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client_id: '468',
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c_1: 'atcodercontest',
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c_2: 'ClientSite'
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})
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</script>
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<script
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type="text/javascript"
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src="https://cdn.d2-apps.net/js/tr.js"
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async
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></script>
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<div
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id="modal-contest-start"
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class="modal fade"
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tabindex="-1"
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role="dialog"
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>
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<div class="modal-dialog" role="document">
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<div class="modal-content">
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<div class="modal-header">
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<button
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type="button"
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class="close"
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data-dismiss="modal"
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aria-label="Close"
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>
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<span aria-hidden="true">×</span>
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</button>
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<h4 class="modal-title">Contest started</h4>
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</div>
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<div class="modal-body">
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<p>AtCoder Beginner Contest 100 has begun.</p>
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</div>
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<div class="modal-footer">
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<button type="button" class="btn btn-default" data-dismiss="modal">
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Close
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</button>
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</div>
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</div>
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</div>
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</div>
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<div id="modal-contest-end" class="modal fade" tabindex="-1" role="dialog">
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<div class="modal-dialog" role="document">
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<div class="modal-content">
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<div class="modal-header">
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<button
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type="button"
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class="close"
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data-dismiss="modal"
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aria-label="Close"
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>
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<span aria-hidden="true">×</span>
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</button>
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<h4 class="modal-title">Contest is over</h4>
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</div>
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<div class="modal-body">
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<p>AtCoder Beginner Contest 100 has ended.</p>
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</div>
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<div class="modal-footer">
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<button type="button" class="btn btn-default" data-dismiss="modal">
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Close
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</button>
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</div>
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</div>
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</div>
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</div>
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<div id="main-div" class="float-container">
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<nav class="navbar navbar-inverse navbar-fixed-top">
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<div class="container-fluid">
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<div class="navbar-header">
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<button
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type="button"
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class="navbar-toggle collapsed"
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data-toggle="collapse"
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data-target="#navbar-collapse"
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aria-expanded="false"
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>
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<span class="icon-bar"></span><span class="icon-bar"></span
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><span class="icon-bar"></span>
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</button>
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<a class="navbar-brand" href="/home"></a>
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</div>
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<div class="collapse navbar-collapse" id="navbar-collapse">
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<ul class="nav navbar-nav">
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<li>
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<a class="contest-title" href="/contests/abc100"
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>AtCoder Beginner Contest 100</a
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>
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</li>
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</ul>
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<ul class="nav navbar-nav navbar-right">
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<li class="dropdown">
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<a
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class="dropdown-toggle"
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data-toggle="dropdown"
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href="#"
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role="button"
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aria-haspopup="true"
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aria-expanded="false"
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>
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<img src="//img.atcoder.jp/assets/top/img/flag-lang/en.png" />
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English <span class="caret"></span>
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</a>
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<ul class="dropdown-menu">
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<li>
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<a href="/contests/abc100/tasks/abc100_d?lang=ja"
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><img
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src="//img.atcoder.jp/assets/top/img/flag-lang/ja.png"
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/>
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日本語</a
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>
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</li>
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<li>
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<a href="/contests/abc100/tasks/abc100_d?lang=en"
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><img
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src="//img.atcoder.jp/assets/top/img/flag-lang/en.png"
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/>
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English</a
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>
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</li>
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</ul>
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</li>
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<li>
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<a
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href="/register?continue=https%3A%2F%2Fatcoder.jp%2Fcontests%2Fabc100%2Ftasks%2Fabc100_d"
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>Sign Up</a
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>
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</li>
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<li>
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<a
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href="/login?continue=https%3A%2F%2Fatcoder.jp%2Fcontests%2Fabc100%2Ftasks%2Fabc100_d"
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>Sign In</a
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>
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</li>
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</ul>
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</div>
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</div>
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</nav>
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|
|
<form
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method="POST"
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name="form_logout"
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|
action="/logout?continue=https%3A%2F%2Fatcoder.jp%2Fcontests%2Fabc100%2Ftasks%2Fabc100_d"
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>
|
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<input
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type="hidden"
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name="csrf_token"
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value="GAGswbeHt5p1jIJSPp2R1sTxFC3jW6sLK2K7L2aRmUI="
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/>
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</form>
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<div id="main-container" class="container" style="padding-top: 50px">
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<div class="row">
|
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<div id="contest-nav-tabs" class="col-sm-12 mb-2 cnvtb-fixed">
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<div>
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<small class="contest-duration">
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Contest Duration:
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<a
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href="http://www.timeanddate.com/worldclock/fixedtime.html?iso=20180616T2100&p1=248"
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target="blank"
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><time class="fixtime fixtime-full"
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>2018-06-16 21:00:00+0900</time
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></a
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>
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-
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<a
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href="http://www.timeanddate.com/worldclock/fixedtime.html?iso=20180616T2240&p1=248"
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target="blank"
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|
><time class="fixtime fixtime-full"
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>2018-06-16 22:40:00+0900</time
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></a
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>
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(local time) (100 minutes)
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</small>
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<small class="back-to-home pull-right"
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><a href="/home">Back to Home</a></small
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>
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</div>
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<ul class="nav nav-tabs">
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<li>
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<a href="/contests/abc100"
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><span
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class="glyphicon glyphicon-home"
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aria-hidden="true"
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></span>
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Top</a
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>
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</li>
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<li class="active">
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<a href="/contests/abc100/tasks"
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><span
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class="glyphicon glyphicon-tasks"
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aria-hidden="true"
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></span>
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Tasks</a
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>
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</li>
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<li>
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<a href="/contests/abc100/clarifications"
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><span
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class="glyphicon glyphicon-question-sign"
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aria-hidden="true"
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></span>
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Clarifications <span id="clar-badge" class="badge"></span
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></a>
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</li>
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<li>
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<a
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class="dropdown-toggle"
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data-toggle="dropdown"
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href="#"
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role="button"
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aria-haspopup="true"
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aria-expanded="false"
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><span
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class="glyphicon glyphicon-list"
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aria-hidden="true"
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></span>
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|
Results<span class="caret"></span
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></a>
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|
<ul class="dropdown-menu">
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|
<li>
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|
<a href="/contests/abc100/submissions"
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|
><span
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|
class="glyphicon glyphicon-globe"
|
|
aria-hidden="true"
|
|
></span>
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|
All Submissions</a
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|
>
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</li>
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|
</ul>
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|
</li>
|
|
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|
<li>
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|
<a href="/contests/abc100/standings"
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><span
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|
class="glyphicon glyphicon-sort-by-attributes-alt"
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aria-hidden="true"
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></span>
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|
Standings</a
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>
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</li>
|
|
|
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<li>
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<a href="/contests/abc100/standings/virtual"
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|
><span
|
|
class="glyphicon glyphicon-sort-by-attributes-alt"
|
|
aria-hidden="true"
|
|
></span>
|
|
Virtual Standings</a
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|
>
|
|
</li>
|
|
|
|
<li>
|
|
<a href="/contests/abc100/editorial"
|
|
><span
|
|
class="glyphicon glyphicon-book"
|
|
aria-hidden="true"
|
|
></span>
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|
Editorial</a
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|
>
|
|
</li>
|
|
|
|
<li class="pull-right">
|
|
<a id="fix-cnvtb" href="javascript:void(0)"
|
|
><span
|
|
class="glyphicon glyphicon-pushpin"
|
|
aria-hidden="true"
|
|
></span
|
|
></a>
|
|
</li>
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|
</ul>
|
|
</div>
|
|
<div class="col-sm-12">
|
|
<span class="h2">
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|
D - Patisserie ABC
|
|
<a
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|
class="btn btn-default btn-sm"
|
|
href="/contests/abc100/tasks/abc100_d/editorial"
|
|
>Editorial</a
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|
>
|
|
</span>
|
|
<span id="task-lang-btn" class="pull-right"
|
|
><span data-lang="ja"
|
|
><img src="//img.atcoder.jp/assets/top/img/flag-lang/ja.png"
|
|
/></span>
|
|
/
|
|
<span data-lang="en"
|
|
><img
|
|
src="//img.atcoder.jp/assets/top/img/flag-lang/en.png" /></span
|
|
></span>
|
|
<script>
|
|
$(function () {
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|
var ts = $('#task-statement span.lang')
|
|
if (ts.children('span').size() <= 1) {
|
|
$('#task-lang-btn').hide()
|
|
ts.children('span').show()
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|
return
|
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}
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|
|
|
var REMEMBER_LB = 5
|
|
var LS_KEY = 'task_lang'
|
|
var taskLang = getLS(LS_KEY) || ''
|
|
function isTaskLangSet(taskLang) {
|
|
return taskLang === 'ja' || taskLang === 'en'
|
|
}
|
|
if (isTaskLangSet(taskLang)) {
|
|
const params = new URLSearchParams(window.location.search)
|
|
if (params.get('lang')) {
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setLS(LS_KEY, REMEMBER_LB)
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taskLang = LANG
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|
}
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|
} else {
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taskLang = LANG
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|
}
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|
ts.children('span.lang-' + taskLang).show()
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|
|
|
$('#task-lang-btn span').click(function () {
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|
var l = $(this).data('lang')
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ts.children('span').hide()
|
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ts.children('span.lang-' + l).show()
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|
|
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taskLang = getLS(LS_KEY) || ''
|
|
let changeTimes = 0
|
|
if (isTaskLangSet(taskLang)) {
|
|
changeTimes = REMEMBER_LB
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} else {
|
|
changeTimes = parseInt(taskLang, 10)
|
|
if (isNaN(changeTimes)) changeTimes = 0
|
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changeTimes++
|
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}
|
|
if (changeTimes < REMEMBER_LB) setLS(LS_KEY, changeTimes)
|
|
else setLS(LS_KEY, l)
|
|
})
|
|
})
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</script>
|
|
<hr />
|
|
<p>Time Limit: 2 sec / Memory Limit: 976 MiB</p>
|
|
|
|
<div id="task-statement">
|
|
<span class="lang">
|
|
<span class="lang-ja">
|
|
<p>配点: <var>400</var> 点</p>
|
|
|
|
<div class="part">
|
|
<section>
|
|
<h3>問題文</h3>
|
|
<p>
|
|
高橋君はプロのパティシエになり, AtCoder Beginner Contest
|
|
100 を記念して, 「ABC洋菓子店」というお店を開いた.
|
|
</p>
|
|
<p>
|
|
ABC洋菓子店では,
|
|
<var>N</var> 種類のケーキを売っている.<br />
|
|
各種類のケーキには「綺麗さ」「おいしさ」「人気度」の
|
|
<var>3</var> つの値を持ち,
|
|
<var>i</var> 種類目のケーキの綺麗さは <var>x_i</var>,
|
|
おいしさは <var>y_i</var>, 人気度は
|
|
<var>z_i</var> である.<br />
|
|
これらの値は <var>0</var> 以下である可能性もある.
|
|
</p>
|
|
<p>
|
|
りんごさんは, ABC洋菓子店で
|
|
<var>M</var> 個のケーキを食べることにした.
|
|
彼は次のように,
|
|
食べるケーキの組み合わせを選ぶことにした.
|
|
</p>
|
|
<ul>
|
|
<li>同じ種類のケーキを <var>2</var> 個以上食べない.</li>
|
|
<li>
|
|
上の条件を満たしつつ, (綺麗さの合計の絶対値) +
|
|
(おいしさの合計の絶対値) + (人気度の合計の絶対値)
|
|
が最大になるように選ぶ.
|
|
</li>
|
|
</ul>
|
|
<p>
|
|
このとき, りんごさんが選ぶケーキの
|
|
(綺麗さの合計の絶対値) + (おいしさの合計の絶対値) +
|
|
(人気度の合計の絶対値) の最大値を求めなさい.
|
|
</p>
|
|
</section>
|
|
</div>
|
|
|
|
<div class="part">
|
|
<section>
|
|
<h3>制約</h3>
|
|
<ul>
|
|
<li>
|
|
<var>N</var> は <var>1</var> 以上
|
|
<var>1 \ 000</var> 以下の整数
|
|
</li>
|
|
<li>
|
|
<var>M</var> は <var>0</var> 以上
|
|
<var>N</var> 以下の整数
|
|
</li>
|
|
<li>
|
|
<var>x_i, y_i, z_i \ (1 \leq i \leq N)</var> は,
|
|
それぞれ <var>-10 \ 000 \ 000 \ 000</var> 以上
|
|
<var>10 \ 000 \ 000 \ 000</var> 以下の整数.
|
|
</li>
|
|
</ul>
|
|
</section>
|
|
</div>
|
|
|
|
<hr />
|
|
|
|
<div class="io-style">
|
|
<div class="part">
|
|
<section>
|
|
<h3>入力</h3>
|
|
<p>入力は以下の形式で標準入力から与えられる.</p>
|
|
<pre><var>N</var> <var>M</var>
|
|
<var>x_1</var> <var>y_1</var> <var>z_1</var>
|
|
<var>x_2</var> <var>y_2</var> <var>z_2</var>
|
|
<var>:</var> <var>:</var>
|
|
<var>x_N</var> <var>y_N</var> <var>z_N</var>
|
|
</pre>
|
|
</section>
|
|
</div>
|
|
|
|
<div class="part">
|
|
<section>
|
|
<h3>出力</h3>
|
|
<p>
|
|
りんごさんが選ぶケーキの (綺麗さの合計の絶対値) +
|
|
(おいしさの合計の絶対値) + (人気度の合計の絶対値)
|
|
の最大値を出力しなさい.
|
|
</p>
|
|
</section>
|
|
</div>
|
|
</div>
|
|
|
|
<hr />
|
|
|
|
<div class="part">
|
|
<section>
|
|
<h3>入力例 1</h3>
|
|
<pre>
|
|
5 3
|
|
3 1 4
|
|
1 5 9
|
|
2 6 5
|
|
3 5 8
|
|
9 7 9
|
|
</pre
|
|
>
|
|
</section>
|
|
</div>
|
|
|
|
<div class="part">
|
|
<section>
|
|
<h3>出力例 1</h3>
|
|
<pre>
|
|
56
|
|
</pre
|
|
>
|
|
|
|
<p>
|
|
<var>2, 4, 5</var> 種類目のケーキを食べることを考える.
|
|
そのとき,
|
|
「綺麗さ」「おいしさ」「人気度」の合計はそれぞれ次のようになる.
|
|
</p>
|
|
<ul>
|
|
<li>綺麗さ：<var>1 + 3 + 9 = 13</var></li>
|
|
<li>おいしさ：<var>5 + 5 + 7 = 17</var></li>
|
|
<li>人気度：<var>9 + 8 + 9 = 26</var></li>
|
|
</ul>
|
|
<p>
|
|
このときの (綺麗さの合計の絶対値) +
|
|
(おいしさの合計の絶対値) + (人気度の合計の絶対値) は
|
|
<var>13 + 17 + 26 = 56</var> となり, これが最大になる.
|
|
</p>
|
|
</section>
|
|
</div>
|
|
|
|
<hr />
|
|
|
|
<div class="part">
|
|
<section>
|
|
<h3>入力例 2</h3>
|
|
<pre>
|
|
5 3
|
|
1 -2 3
|
|
-4 5 -6
|
|
7 -8 -9
|
|
-10 11 -12
|
|
13 -14 15
|
|
</pre
|
|
>
|
|
</section>
|
|
</div>
|
|
|
|
<div class="part">
|
|
<section>
|
|
<h3>出力例 2</h3>
|
|
<pre>
|
|
54
|
|
</pre
|
|
>
|
|
|
|
<p>
|
|
<var>1, 3, 5</var> 種類目のケーキを食べることを考える.
|
|
そのとき,
|
|
「綺麗さ」「おいしさ」「人気度」の合計はそれぞれ次のようになる.
|
|
</p>
|
|
<ul>
|
|
<li>綺麗さ：<var>1 + 7 + 13 = 21</var></li>
|
|
<li>おいしさ：<var>(-2) + (-8) + (-14) = -24</var></li>
|
|
<li>人気度：<var>3 + (-9) + 15 = 9</var></li>
|
|
</ul>
|
|
<p>
|
|
このときの (綺麗さの合計の絶対値) +
|
|
(おいしさの合計の絶対値) + (人気度の合計の絶対値) は
|
|
<var>21 + 24 + 9 = 54</var> となり, これが最大になる.
|
|
</p>
|
|
</section>
|
|
</div>
|
|
|
|
<hr />
|
|
|
|
<div class="part">
|
|
<section>
|
|
<h3>入力例 3</h3>
|
|
<pre>
|
|
10 5
|
|
10 -80 21
|
|
23 8 38
|
|
-94 28 11
|
|
-26 -2 18
|
|
-69 72 79
|
|
-26 -86 -54
|
|
-72 -50 59
|
|
21 65 -32
|
|
40 -94 87
|
|
-62 18 82
|
|
</pre
|
|
>
|
|
</section>
|
|
</div>
|
|
|
|
<div class="part">
|
|
<section>
|
|
<h3>出力例 3</h3>
|
|
<pre>
|
|
638
|
|
</pre
|
|
>
|
|
|
|
<p>
|
|
<var>3, 4, 5, 7, 10</var> 種類目のケーキを食べると,
|
|
綺麗さの合計は <var>-323</var>, おいしさの合計は
|
|
<var>66</var>, 人気度の合計は
|
|
<var>249</var> となる.<br />
|
|
このときの (綺麗さの合計の絶対値) +
|
|
(おいしさの合計の絶対値) + (人気度の合計の絶対値) は
|
|
<var>323 + 66 + 249 = 638</var> となり,
|
|
これが最大になる.
|
|
</p>
|
|
</section>
|
|
</div>
|
|
|
|
<hr />
|
|
|
|
<div class="part">
|
|
<section>
|
|
<h3>入力例 4</h3>
|
|
<pre>
|
|
3 2
|
|
2000000000 -9000000000 4000000000
|
|
7000000000 -5000000000 3000000000
|
|
6000000000 -1000000000 8000000000
|
|
</pre
|
|
>
|
|
</section>
|
|
</div>
|
|
|
|
<div class="part">
|
|
<section>
|
|
<h3>出力例 4</h3>
|
|
<pre>
|
|
30000000000
|
|
</pre
|
|
>
|
|
|
|
<p>
|
|
ケーキの綺麗さ, おいしさ, 人気度や出力すべき値が, 32bit
|
|
整数に収まらない場合もある.
|
|
</p>
|
|
</section>
|
|
</div>
|
|
</span>
|
|
<span class="lang-en">
|
|
<p>Score: <var>400</var> points</p>
|
|
|
|
<div class="part">
|
|
<section>
|
|
<h3>Problem Statement</h3>
|
|
<p>
|
|
Takahashi became a pastry chef and opened a shop
|
|
<em>La Confiserie d'ABC</em> to celebrate AtCoder
|
|
Beginner Contest 100.
|
|
</p>
|
|
<p>
|
|
The shop sells <var>N</var> kinds of cakes.<br />
|
|
Each kind of cake has three parameters "beauty",
|
|
"tastiness" and "popularity". The <var>i</var>-th kind
|
|
of cake has the beauty of <var>x_i</var>, the tastiness
|
|
of <var>y_i</var> and the popularity of
|
|
<var>z_i</var>.<br />
|
|
These values may be zero or negative.
|
|
</p>
|
|
<p>
|
|
Ringo has decided to have <var>M</var> pieces of cakes
|
|
here. He will choose the set of cakes as follows:
|
|
</p>
|
|
<ul>
|
|
<li>
|
|
Do not have two or more pieces of the same kind of
|
|
cake.
|
|
</li>
|
|
<li>
|
|
Under the condition above, choose the set of cakes to
|
|
maximize (the absolute value of the total beauty) +
|
|
(the absolute value of the total tastiness) + (the
|
|
absolute value of the total popularity).
|
|
</li>
|
|
</ul>
|
|
<p>
|
|
Find the maximum possible value of (the absolute value
|
|
of the total beauty) + (the absolute value of the total
|
|
tastiness) + (the absolute value of the total
|
|
popularity) for the set of cakes that Ringo chooses.
|
|
</p>
|
|
</section>
|
|
</div>
|
|
|
|
<div class="part">
|
|
<section>
|
|
<h3>Constraints</h3>
|
|
<ul>
|
|
<li>
|
|
<var>N</var> is an integer between <var>1</var> and
|
|
<var>1 \ 000</var> (inclusive).
|
|
</li>
|
|
<li>
|
|
<var>M</var> is an integer between <var>0</var> and
|
|
<var>N</var> (inclusive).
|
|
</li>
|
|
<li>
|
|
<var>x_i, y_i, z_i \ (1 \leq i \leq N)</var> are
|
|
integers between <var>-10 \ 000 \ 000 \ 000</var> and
|
|
<var>10 \ 000 \ 000 \ 000</var> (inclusive).
|
|
</li>
|
|
</ul>
|
|
</section>
|
|
</div>
|
|
|
|
<hr />
|
|
|
|
<div class="io-style">
|
|
<div class="part">
|
|
<section>
|
|
<h3>Input</h3>
|
|
<p>
|
|
Input is given from Standard Input in the following
|
|
format:
|
|
</p>
|
|
<pre><var>N</var> <var>M</var>
|
|
<var>x_1</var> <var>y_1</var> <var>z_1</var>
|
|
<var>x_2</var> <var>y_2</var> <var>z_2</var>
|
|
<var>:</var> <var>:</var>
|
|
<var>x_N</var> <var>y_N</var> <var>z_N</var>
|
|
</pre>
|
|
</section>
|
|
</div>
|
|
|
|
<div class="part">
|
|
<section>
|
|
<h3>Output</h3>
|
|
<p>
|
|
Print the maximum possible value of (the absolute
|
|
value of the total beauty) + (the absolute value of
|
|
the total tastiness) + (the absolute value of the
|
|
total popularity) for the set of cakes that Ringo
|
|
chooses.
|
|
</p>
|
|
</section>
|
|
</div>
|
|
</div>
|
|
|
|
<hr />
|
|
|
|
<div class="part">
|
|
<section>
|
|
<h3>Sample Input 1</h3>
|
|
<pre>
|
|
5 3
|
|
3 1 4
|
|
1 5 9
|
|
2 6 5
|
|
3 5 8
|
|
9 7 9
|
|
</pre
|
|
>
|
|
</section>
|
|
</div>
|
|
|
|
<div class="part">
|
|
<section>
|
|
<h3>Sample Output 1</h3>
|
|
<pre>
|
|
56
|
|
</pre
|
|
>
|
|
|
|
<p>
|
|
Consider having the <var>2</var>-nd, <var>4</var>-th and
|
|
<var>5</var>-th kinds of cakes. The total beauty,
|
|
tastiness and popularity will be as follows:
|
|
</p>
|
|
<ul>
|
|
<li>Beauty: <var>1 + 3 + 9 = 13</var></li>
|
|
<li>Tastiness: <var>5 + 5 + 7 = 17</var></li>
|
|
<li>Popularity: <var>9 + 8 + 9 = 26</var></li>
|
|
</ul>
|
|
<p>
|
|
The value (the absolute value of the total beauty) +
|
|
(the absolute value of the total tastiness) + (the
|
|
absolute value of the total popularity) here is
|
|
<var>13 + 17 + 26 = 56</var>. This is the maximum value.
|
|
</p>
|
|
</section>
|
|
</div>
|
|
|
|
<hr />
|
|
|
|
<div class="part">
|
|
<section>
|
|
<h3>Sample Input 2</h3>
|
|
<pre>
|
|
5 3
|
|
1 -2 3
|
|
-4 5 -6
|
|
7 -8 -9
|
|
-10 11 -12
|
|
13 -14 15
|
|
</pre
|
|
>
|
|
</section>
|
|
</div>
|
|
|
|
<div class="part">
|
|
<section>
|
|
<h3>Sample Output 2</h3>
|
|
<pre>
|
|
54
|
|
</pre
|
|
>
|
|
|
|
<p>
|
|
Consider having the <var>1</var>-st, <var>3</var>-rd and
|
|
<var>5</var>-th kinds of cakes. The total beauty,
|
|
tastiness and popularity will be as follows:
|
|
</p>
|
|
<ul>
|
|
<li>Beauty: <var>1 + 7 + 13 = 21</var></li>
|
|
<li>Tastiness: <var>(-2) + (-8) + (-14) = -24</var></li>
|
|
<li>Popularity: <var>3 + (-9) + 15 = 9</var></li>
|
|
</ul>
|
|
<p>
|
|
The value (the absolute value of the total beauty) +
|
|
(the absolute value of the total tastiness) + (the
|
|
absolute value of the total popularity) here is
|
|
<var>21 + 24 + 9 = 54</var>. This is the maximum value.
|
|
</p>
|
|
</section>
|
|
</div>
|
|
|
|
<hr />
|
|
|
|
<div class="part">
|
|
<section>
|
|
<h3>Sample Input 3</h3>
|
|
<pre>
|
|
10 5
|
|
10 -80 21
|
|
23 8 38
|
|
-94 28 11
|
|
-26 -2 18
|
|
-69 72 79
|
|
-26 -86 -54
|
|
-72 -50 59
|
|
21 65 -32
|
|
40 -94 87
|
|
-62 18 82
|
|
</pre
|
|
>
|
|
</section>
|
|
</div>
|
|
|
|
<div class="part">
|
|
<section>
|
|
<h3>Sample Output 3</h3>
|
|
<pre>
|
|
638
|
|
</pre
|
|
>
|
|
|
|
<p>
|
|
If we have the <var>3</var>-rd, <var>4</var>-th,
|
|
<var>5</var>-th, <var>7</var>-th and <var>10</var>-th
|
|
kinds of cakes, the total beauty, tastiness and
|
|
popularity will be <var>-323</var>, <var>66</var> and
|
|
<var>249</var>, respectively.<br />
|
|
The value (the absolute value of the total beauty) +
|
|
(the absolute value of the total tastiness) + (the
|
|
absolute value of the total popularity) here is
|
|
<var>323 + 66 + 249 = 638</var>. This is the maximum
|
|
value.
|
|
</p>
|
|
</section>
|
|
</div>
|
|
|
|
<hr />
|
|
|
|
<div class="part">
|
|
<section>
|
|
<h3>Sample Input 4</h3>
|
|
<pre>
|
|
3 2
|
|
2000000000 -9000000000 4000000000
|
|
7000000000 -5000000000 3000000000
|
|
6000000000 -1000000000 8000000000
|
|
</pre
|
|
>
|
|
</section>
|
|
</div>
|
|
|
|
<div class="part">
|
|
<section>
|
|
<h3>Sample Output 4</h3>
|
|
<pre>
|
|
30000000000
|
|
</pre
|
|
>
|
|
|
|
<p>
|
|
The values of the beauty, tastiness and popularity of
|
|
the cakes and the value to be printed may not fit into
|
|
32-bit integers.
|
|
</p>
|
|
</section>
|
|
</div>
|
|
</span>
|
|
</span>
|
|
</div>
|
|
</div>
|
|
</div>
|
|
|
|
<hr />
|
|
|
|
<div
|
|
class="a2a_kit a2a_kit_size_20 a2a_default_style pull-right"
|
|
data-a2a-url="https://atcoder.jp/contests/abc100/tasks/abc100_d?lang=en"
|
|
data-a2a-title="D - Patisserie ABC"
|
|
>
|
|
<a class="a2a_button_facebook"></a>
|
|
<a class="a2a_button_twitter"></a>
|
|
|
|
<a class="a2a_button_telegram"></a>
|
|
|
|
<a class="a2a_dd" href="https://www.addtoany.com/share"></a>
|
|
</div>
|
|
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