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35 lines
2.9 KiB
HTML
35 lines
2.9 KiB
HTML
<!DOCTYPE html>
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<meta http-equiv="Content-Type" content="text/html; charset=UTF-8" />
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<style type="text/css">
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.katex-html {display: none;}
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.katex-mathml {font-size: 0px;}
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.katex-mathml math mrow {font-size: 16px;}
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</style>
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<h1>Topological Order</h1>
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<div class="ques-view"><p>This is a problem given in the Graduate Entrance Exam in 2018: Which of the following is NOT a topological order obtained from the given directed graph? Now you are supposed to write a program to test each of the options.</p>
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<p><img alt="gre.jpg" src="https://images.ptausercontent.com/5d35ed2a-4d19-4f13-bf3f-35ed59cebf05.jpg"/></p>
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<h3 id="input-specification-">Input Specification:</h3>
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<p>Each input file contains one test case. For each case, the first line gives two positive integers N (<span class="katex"><span class="katex-mathml"><math><mrow><mo>≤</mo></mrow>\le</math></span><span aria-hidden="true" class="katex-html"><span class="strut" style="height:0.63597em;"></span><span class="strut bottom" style="height:0.7719400000000001em;vertical-align:-0.13597em;"></span><span class="base textstyle uncramped"><span class="mrel">≤</span></span></span></span> 1,000), the number of vertices in the graph, and M (<span class="katex"><span class="katex-mathml"><math><mrow><mo>≤</mo></mrow>\le</math></span><span aria-hidden="true" class="katex-html"><span class="strut" style="height:0.63597em;"></span><span class="strut bottom" style="height:0.7719400000000001em;vertical-align:-0.13597em;"></span><span class="base textstyle uncramped"><span class="mrel">≤</span></span></span></span> 10,000), the number of directed edges. Then M lines follow, each gives the start and the end vertices of an edge. The vertices are numbered from 1 to N. After the graph, there is another positive integer K (<span class="katex"><span class="katex-mathml"><math><mrow><mo>≤</mo></mrow>\le</math></span><span aria-hidden="true" class="katex-html"><span class="strut" style="height:0.63597em;"></span><span class="strut bottom" style="height:0.7719400000000001em;vertical-align:-0.13597em;"></span><span class="base textstyle uncramped"><span class="mrel">≤</span></span></span></span> 100). Then K lines of query follow, each gives a permutation of all the vertices. All the numbers in a line are separated by a space.</p>
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<h3 id="output-specification-">Output Specification:</h3>
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<p>Print in a line all the indices of queries which correspond to "NOT a topological order". The indices start from zero. All the numbers are separated by a space, and there must no extra space at the beginning or the end of the line. It is graranteed that there is at least one answer.</p>
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<h3 id="sample-input-">Sample Input:</h3>
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<pre><code class="lang-in">6 8
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1 2
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1 3
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5 2
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5 4
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2 3
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2 6
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3 4
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6 4
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5
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1 5 2 3 6 4
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5 1 2 6 3 4
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5 1 2 3 6 4
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5 2 1 6 3 4
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1 2 3 4 5 6
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</code></pre>
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<h3 id="sample-output-">Sample Output:</h3>
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<pre><code class="lang-out">3 4
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</code></pre>
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</div> |