887 lines
29 KiB
HTML
887 lines
29 KiB
HTML
<!doctype html>
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<html>
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<head>
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<title>B - Ringo's Favorite Numbers</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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name="google-site-verification"
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content="nXGC_JxO0yoP1qBzMnYD_xgufO6leSLw1kyNo2HZltM"
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/>
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async
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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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gtag('js', new Date())
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gtag('set', 'user_properties', {
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login_status: 'logged_out'
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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="B - Ringo's Favorite Numbers" />
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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_b"
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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="B - Ringo's Favorite Numbers" />
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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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type="text/css"
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href="//img.atcoder.jp/public/6372bb3/css/bootstrap.min.css"
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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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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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<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 = 'o2ayF7Lv34NtRIbcb0Ixvog2CrZtUEVLZNKuIuHQKH8='
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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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<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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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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$(function () {
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$('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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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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</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_b?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_b?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_b"
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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_b"
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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_b"
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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="o2ayF7Lv34NtRIbcb0Ixvog2CrZtUEVLZNKuIuHQKH8="
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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"
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aria-hidden="true"
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></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
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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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Virtual Standings</a
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>
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</li>
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|
|
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<li>
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<a href="/contests/abc100/editorial"
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><span
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class="glyphicon glyphicon-book"
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aria-hidden="true"
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></span>
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Editorial</a
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>
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</li>
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<li class="pull-right">
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<a id="fix-cnvtb" href="javascript:void(0)"
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><span
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class="glyphicon glyphicon-pushpin"
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aria-hidden="true"
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></span
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></a>
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</li>
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</ul>
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</div>
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<div class="col-sm-12">
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<span class="h2">
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B - Ringo's Favorite Numbers
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<a
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class="btn btn-default btn-sm"
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href="/contests/abc100/tasks/abc100_b/editorial"
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>Editorial</a
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>
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</span>
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<span id="task-lang-btn" class="pull-right"
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><span data-lang="ja"
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><img src="//img.atcoder.jp/assets/top/img/flag-lang/ja.png"
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/></span>
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/
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<span data-lang="en"
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><img
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src="//img.atcoder.jp/assets/top/img/flag-lang/en.png" /></span
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></span>
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<script>
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$(function () {
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var ts = $('#task-statement span.lang')
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if (ts.children('span').size() <= 1) {
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$('#task-lang-btn').hide()
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ts.children('span').show()
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return
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}
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var REMEMBER_LB = 5
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var LS_KEY = 'task_lang'
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var taskLang = getLS(LS_KEY) || ''
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function isTaskLangSet(taskLang) {
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return taskLang === 'ja' || taskLang === 'en'
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}
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if (isTaskLangSet(taskLang)) {
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const params = new URLSearchParams(window.location.search)
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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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taskLang = getLS(LS_KEY) || ''
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let changeTimes = 0
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if (isTaskLangSet(taskLang)) {
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changeTimes = REMEMBER_LB
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} else {
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changeTimes = parseInt(taskLang, 10)
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if (isNaN(changeTimes)) changeTimes = 0
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changeTimes++
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}
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if (changeTimes < REMEMBER_LB) setLS(LS_KEY, changeTimes)
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else setLS(LS_KEY, l)
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})
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})
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</script>
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<hr />
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<p>Time Limit: 2 sec / Memory Limit: 976 MiB</p>
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|
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<div id="task-statement">
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<span class="lang">
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<span class="lang-ja">
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<p>配点: <var>200</var> 点</p>
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|
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<div class="part">
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<section>
|
|
<h3>問題文</h3>
|
|
<p>
|
|
今日は, 記念すべき AtCoder Beginner Contest 100
|
|
が開催される. そのため, 高橋君はりんごさんに,
|
|
ある整数をプレゼントしようと思った.<br />
|
|
今日のコンテストは「AtCoder Beginner Contest
|
|
100」なので, りんごさんは <var>100</var> で
|
|
<strong>ちょうど</strong>
|
|
<var>D</var>
|
|
回割りきれる正の整数をプレゼントされると喜ぶ.
|
|
</p>
|
|
<p>
|
|
さて, りんごさんがプレゼントされると喜ぶような整数のうち
|
|
<var>N</var> 番目に小さいものを求めなさい.
|
|
</p>
|
|
</section>
|
|
</div>
|
|
|
|
<div class="part">
|
|
<section>
|
|
<h3>制約</h3>
|
|
<ul>
|
|
<li>
|
|
<var>D</var> は <var>0, 1, 2</var> のいずれかである
|
|
</li>
|
|
<li>
|
|
<var>N</var> は <var>1</var> 以上
|
|
<var>100</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>D</var> <var>N</var>
|
|
</pre>
|
|
</section>
|
|
</div>
|
|
|
|
<div class="part">
|
|
<section>
|
|
<h3>出力</h3>
|
|
<p>
|
|
<var>100</var> でちょうど
|
|
<var>D</var> 回割りきれる正の整数の中で
|
|
<var>N</var> 番目に小さいものを出力しなさい.
|
|
</p>
|
|
</section>
|
|
</div>
|
|
</div>
|
|
|
|
<hr />
|
|
|
|
<div class="part">
|
|
<section>
|
|
<h3>入力例 1</h3>
|
|
<pre>
|
|
0 5
|
|
</pre
|
|
>
|
|
</section>
|
|
</div>
|
|
|
|
<div class="part">
|
|
<section>
|
|
<h3>出力例 1</h3>
|
|
<pre>
|
|
5
|
|
</pre
|
|
>
|
|
|
|
<p>
|
|
<var>100</var> でちょうど
|
|
<var>0</var> 回割り切れる（すなわち,
|
|
<var>100</var> で割り切れない）整数は, <var>1</var>,
|
|
<var>2</var>, <var>3</var>, <var>4</var>, <var>5</var>,
|
|
<var>6</var>, <var>7</var>, ... と続く.<br />
|
|
よって, <var>5</var> 番目に小さいりんごさんが喜ぶ整数は
|
|
<var>5</var> である.
|
|
</p>
|
|
</section>
|
|
</div>
|
|
|
|
<hr />
|
|
|
|
<div class="part">
|
|
<section>
|
|
<h3>入力例 2</h3>
|
|
<pre>
|
|
1 11
|
|
</pre
|
|
>
|
|
</section>
|
|
</div>
|
|
|
|
<div class="part">
|
|
<section>
|
|
<h3>出力例 2</h3>
|
|
<pre>
|
|
1100
|
|
</pre
|
|
>
|
|
|
|
<p>
|
|
<var>100</var> でちょうど
|
|
<var>1</var> 回割り切れる整数は, <var>100</var>,
|
|
<var>200</var>, <var>300</var>, <var>400</var>,
|
|
<var>500</var>, <var>600</var>, <var>700</var>,
|
|
<var>800</var>, <var>900</var>, <var>1 \ 000</var>,
|
|
<var>1 \ 100</var>, ... と続く.<br />
|
|
よって, 求めたい整数は <var>1 \ 100</var> である.
|
|
</p>
|
|
</section>
|
|
</div>
|
|
|
|
<hr />
|
|
|
|
<div class="part">
|
|
<section>
|
|
<h3>入力例 3</h3>
|
|
<pre>
|
|
2 85
|
|
</pre
|
|
>
|
|
</section>
|
|
</div>
|
|
|
|
<div class="part">
|
|
<section>
|
|
<h3>出力例 3</h3>
|
|
<pre>
|
|
850000
|
|
</pre
|
|
>
|
|
|
|
<p>
|
|
<var>100</var> でちょうど
|
|
<var>2</var> 回割り切れる整数は, <var>10 \ 000</var>,
|
|
<var>20 \ 000</var>, <var>30 \ 000</var>, ... と続く.<br />
|
|
よって, 求めたい整数は <var>850 \ 000</var> である.
|
|
</p>
|
|
</section>
|
|
</div>
|
|
</span>
|
|
<span class="lang-en">
|
|
<p>Score: <var>200</var> points</p>
|
|
|
|
<div class="part">
|
|
<section>
|
|
<h3>Problem Statement</h3>
|
|
<p>
|
|
Today, the memorable AtCoder Beginner Contest 100 takes
|
|
place. On this occasion, Takahashi would like to give an
|
|
integer to Ringo.<br />
|
|
As the name of the contest is AtCoder Beginner Contest
|
|
100, Ringo would be happy if he is given a positive
|
|
integer that can be divided by <var>100</var>
|
|
<strong>exactly</strong> <var>D</var> times.
|
|
</p>
|
|
<p>
|
|
Find the <var>N</var>-th smallest integer that would
|
|
make Ringo happy.
|
|
</p>
|
|
</section>
|
|
</div>
|
|
|
|
<div class="part">
|
|
<section>
|
|
<h3>Constraints</h3>
|
|
<ul>
|
|
<li>
|
|
<var>D</var> is <var>0</var>, <var>1</var> or
|
|
<var>2</var>.
|
|
</li>
|
|
<li>
|
|
<var>N</var> is an integer between <var>1</var> and
|
|
<var>100</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>D</var> <var>N</var>
|
|
</pre>
|
|
</section>
|
|
</div>
|
|
|
|
<div class="part">
|
|
<section>
|
|
<h3>Output</h3>
|
|
<p>
|
|
Print the <var>N</var>-th smallest integer that can be
|
|
divided by <var>100</var> exactly <var>D</var> times.
|
|
</p>
|
|
</section>
|
|
</div>
|
|
</div>
|
|
|
|
<hr />
|
|
|
|
<div class="part">
|
|
<section>
|
|
<h3>Sample Input 1</h3>
|
|
<pre>
|
|
0 5
|
|
</pre
|
|
>
|
|
</section>
|
|
</div>
|
|
|
|
<div class="part">
|
|
<section>
|
|
<h3>Sample Output 1</h3>
|
|
<pre>
|
|
5
|
|
</pre
|
|
>
|
|
|
|
<p>
|
|
The integers that can be divided by
|
|
<var>100</var> exactly <var>0</var> times (that is, not
|
|
divisible by <var>100</var>) are as follows:
|
|
<var>1</var>, <var>2</var>, <var>3</var>, <var>4</var>,
|
|
<var>5</var>, <var>6</var>, <var>7</var>, ...<br />
|
|
Thus, the <var>5</var>-th smallest integer that would
|
|
make Ringo happy is <var>5</var>.
|
|
</p>
|
|
</section>
|
|
</div>
|
|
|
|
<hr />
|
|
|
|
<div class="part">
|
|
<section>
|
|
<h3>Sample Input 2</h3>
|
|
<pre>
|
|
1 11
|
|
</pre
|
|
>
|
|
</section>
|
|
</div>
|
|
|
|
<div class="part">
|
|
<section>
|
|
<h3>Sample Output 2</h3>
|
|
<pre>
|
|
1100
|
|
</pre
|
|
>
|
|
|
|
<p>
|
|
The integers that can be divided by
|
|
<var>100</var> exactly once are as follows:
|
|
<var>100</var>, <var>200</var>, <var>300</var>,
|
|
<var>400</var>, <var>500</var>, <var>600</var>,
|
|
<var>700</var>, <var>800</var>, <var>900</var>,
|
|
<var>1 \ 000</var>, <var>1 \ 100</var>, ...<br />
|
|
Thus, the integer we are seeking is <var>1 \ 100</var>.
|
|
</p>
|
|
</section>
|
|
</div>
|
|
|
|
<hr />
|
|
|
|
<div class="part">
|
|
<section>
|
|
<h3>Sample Input 3</h3>
|
|
<pre>
|
|
2 85
|
|
</pre
|
|
>
|
|
</section>
|
|
</div>
|
|
|
|
<div class="part">
|
|
<section>
|
|
<h3>Sample Output 3</h3>
|
|
<pre>
|
|
850000
|
|
</pre
|
|
>
|
|
|
|
<p>
|
|
The integers that can be divided by
|
|
<var>100</var> exactly twice are as follows:
|
|
<var>10 \ 000</var>, <var>20 \ 000</var>,
|
|
<var>30 \ 000</var>, ...<br />
|
|
Thus, the integer we are seeking is
|
|
<var>850 \ 000</var>.
|
|
</p>
|
|
</section>
|
|
</div>
|
|
</span>
|
|
</span>
|
|
</div>
|
|
</div>
|
|
</div>
|
|
|
|
<hr />
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<div
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class="a2a_kit a2a_kit_size_20 a2a_default_style pull-right"
|
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data-a2a-url="https://atcoder.jp/contests/abc100/tasks/abc100_b?lang=en"
|
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data-a2a-title="B - Ringo's Favorite Numbers"
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>
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<a class="a2a_button_facebook"></a>
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<a class="a2a_button_twitter"></a>
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