<html> <head> <meta charset="UTF-8"> <meta name="viewport" content="width=device-width,initial-scale=1"> <link rel="stylesheet " type="text/css" href="/cses.css?2" id="styles"> <link rel="stylesheet alternate" type="text/css" href="/cses-dark.css?2" id="styles-dark"> <meta name="theme-color" content="white" id="theme-color"> <script type="application/json" id="darkmode-enabled">false</script> <script src="/ui.js"></script> <link rel="stylesheet" type="text/css" href="/lib/fontawesome/css/all.min.css"> </head> <body class="with-sidebar "> <div class="header"> <div> <a href="/" class="logo"><img src="/logo.png?1" alt="CSES"></a> <a class="menu-toggle" onclick="document.body.classList.toggle('menu-open');"> <i class="fas fa-bars"></i> </a> <div class="controls"> <a class="account" href="/user/74341">CodingFish7965</a> <span>—</span> <a href="/darkmode" title="Toggle dark mode" onclick="return toggle_theme()"><i class="fas fa-adjust"></i><span>Dark mode</span></a> <a href="/logout" title="Log out"><i class="fas fa-sign-out-alt"></i><span>Log out</span></a> </div> </div> </div> <div class="skeleton"> <div class="navigation"> <div class="title-block"> <h3><a href="/problemset/list/">CSES Problem Set</a></h3> <h1>Josephus Problem I</h1> <ul class="nav"> <li><a href="/problemset/task/2162/" class="current">Task</a></li> <li><a href="/problemset/submit/2162/" >Submit</a></li> <li><a href="/problemset/view/2162/" >Results</a></li> <li><a href="/problemset/stats/2162/" >Statistics</a></li> </ul> </div> <div class="sidebar"></div> </div> <div class="content-wrapper"> <div class="content"> <title>CSES - Josephus Problem I</title><script type="text/x-mathjax-config"> MathJax.Hub.Config({ tex2jax: {inlineMath: [['$','$'], ['\\(','\\)']]}, "HTML-CSS": { scale: 90, preferredFont: "TeX", availableFonts: ["TeX"], }, MathMenu: { showLocale: false, }, }); </script> <script type="text/javascript" src="/lib/MathJax/MathJax.js?config=TeX-AMS-MML_HTMLorMML"> </script> <script src="/lib/google-code-prettify/run_prettify.js"></script> <ul class="task-constraints"> <li><b>Time limit:</b> 1.00 s</li> <li><b>Memory limit:</b> 512 MB</li> </ul> <input type="hidden" name="course" value="problemset"> <input type="hidden" name="task" value="2162"> Consider a game where there are $n$ children (numbered $1,2,\dots,n$) in a circle. During the game, every second child is removed from the circle, until there are no children left. In which order will the children be removed?<br /> <br /> <b id="input">Input</b><br /> <br /> The only input line has an integer $n$.<br /> <br /> <b id="output">Output</b><br /> <br /> Print $n$ integers: the removal order.<br /> <br /> <b id="constraints">Constraints</b><br /> <ul> <li> $1 \le n \le 2 \cdot 10^5$<br /> </ul> <b id="example">Example</b><br /> <br /> Input:<br /> <code>7</code><br /> <br /> Output:<br /> <code>2 4 6 1 5 3 7</code> </div> <div class="nav sidebar"> <h4>Sorting and Searching</h4>... <a href="/problemset/task/1141">Playlist<span class="task-score icon full"></span></a><a href="/problemset/task/1073">Towers<span class="task-score icon full"></span></a><a href="/problemset/task/1163">Traffic Lights<span class="task-score icon full"></span></a><a class="current" href="/problemset/task/2162">Josephus Problem I<span class="task-score icon "></span></a><a href="/problemset/task/2163">Josephus Problem II<span class="task-score icon "></span></a><a href="/problemset/task/2168">Nested Ranges Check<span class="task-score icon "></span></a><a href="/problemset/task/2169">Nested Ranges Count<span class="task-score icon "></span></a><a href="/problemset/task/1164">Room Allocation<span class="task-score icon "></span></a>... <hr /> <h4>Your submissions</h4> </div> </div>
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