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CodeObject/storage/zeta/_static/7541.html
2026-04-27 09:44:16 +09:00

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<!DOCTYPE html>
<html lang="ko">
<head>
<meta charset="UTF-8" />
<meta name="viewport" content="width=device-width, initial-scale=1.0" />
<title>BOJ 7541 - Offline</title>
<style>
:root {
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margin: 0;
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</style>
</head>
<body>
<main>
<header class="header">
<h1>StuPId</h1>
</header>
<article class="section">
<h2>문제</h2>
<p>At DUT, the Dreamland University of Technology, all students have personal id, numbers with six or seven digits. But they&rsquo;re not just any numbers. Only those that have a checksum with a zero as last digit can be valid ids.</p>
<p>Here&rsquo;s how to compute the checksum of an id number. Multiply the digits from back to front (!) with repeating factors 9, 3, 7. Then simply add the products. Example:</p>
<pre>
id number : 1 3 9 0 2 7 2
factors : 9 7 3 9 7 3 9
products : 9 21 27 0 14 21 18</pre>
<p>Here the checksum is 9+21+27+0+14+21+18 = 110. The last digit is zero, so the id is valid. Sometimes students have very bad handwriting and the teaching assistents have a hard time identifying the id&rsquo;s. You&rsquo;re asked to help in special cases, where exactly one digit is unreadable. In that case, the missing digit can be computed (there&rsquo;s always exactly one correct digit, thanks to 9, 3 and 7 being relatively prime to 10). Note that the students always begin concentrated and thus the first digit will always be readable (and not zero).</p>
</article>
<article class="section">
<h2>입력</h2>
<p>The first line contains the number of scenarios. Each scenario is a single line that contains an id number with one digit replaced by a question mark and with six or seven digits length.</p>
</article>
<article class="section">
<h2>출력</h2>
<p>The output for every scenario begins with a line containing &ldquo;Scenario #i:&rdquo;, where i is the number of the scenario starting at 1. Then print a single line containing the correct id number. Terminate the output for the scenario with a blank line.</p>
</article>
<article class="section">
<h2>예제 입력 1 복사</h2>
<pre class="sampledata" id="sample-input-1">4
13?0272
3?5678
345?78
314?592
</pre>
</article>
<article class="section">
<h2>예제 출력 1 복사</h2>
<pre class="sampledata" id="sample-output-1">Scenario #1:
1390272
Scenario #2:
335678
Scenario #3:
345778
Scenario #4:
3146592
</pre>
</article>
</main>
</body>
</html>