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CodeObject/storage/zeta/_static/33650.html
2026-04-27 09:44:16 +09:00

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<title>BOJ 33650 - Offline</title>
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<header class="header">
<h1>Triangle Trees</h1>
</header>
<article class="section">
<h2>문제</h2>
<p>A triangle tree is an undirected graph in which every cycle contains exactly three edges. Recall that a cycle is a sequence of at least <span class="math-inline"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><mn>3</mn></mrow></math></span> distinct vertices <span class="math-inline"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><msub><mi>v</mi><mn>1</mn></msub><mo>&#x0002C;</mo><msub><mi>v</mi><mn>2</mn></msub><mo>&#x0002C;</mo><mo>&#x02026;</mo><mo>&#x0002C;</mo><msub><mi>v</mi><mi>k</mi></msub></mrow></math></span> such that there is an edge between <span class="math-inline"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><msub><mi>v</mi><mi>i</mi></msub></mrow></math></span> and <span class="math-inline"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><msub><mi>v</mi><mrow><mi>i</mi><mo>&#x0002B;</mo><mn>1</mn></mrow></msub></mrow></math></span> for <span class="math-inline"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><mi>i</mi><mo>&#x0003D;</mo><mn>1</mn><mo>&#x0002C;</mo><mo>&#x02026;</mo><mo>&#x0002C;</mo><mi>k</mi><mo>&#x02212;</mo><mn>1</mn></mrow></math></span> and there is also an edge between <span class="math-inline"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><msub><mi>v</mi><mi>k</mi></msub></mrow></math></span> and <span class="math-inline"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><msub><mi>v</mi><mn>1</mn></msub></mrow></math></span>.</p>
<p>A colouring of a graph is an assignment of colours to the vertices such that the two endpoints of each edge of the graph receive different colours. Given a triangle tree, your task is to find a colouring which uses the smallest possible number of colours.</p>
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" style="width: 300px; height: 190px;" /></p>
<p style="text-align: center;"><b>Figure 1</b>: Illustration of the second sample case. The number written just outside the vertex corresponds to the colour it receives corresponding to the output for that sample case.</p>
</article>
<article class="section">
<h2>입력</h2>
<p>The first line of input contains two integers <span class="math-inline"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><mi>N</mi></mrow></math></span> (<span class="math-inline"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><mn>1</mn><mi></mi><mi>N</mi><mi></mi><msup><mn>10</mn><mn>5</mn></msup></mrow></math></span>) and <span class="math-inline"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><mi>M</mi></mrow></math></span> (<span class="math-inline"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><mn>0</mn><mi></mi><mi>M</mi><mi></mi><msup><mn>10</mn><mn>5</mn></msup></mrow></math></span>). The next <span class="math-inline"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><mi>M</mi></mrow></math></span> lines each contain two integers <span class="math-inline"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><mi>u</mi></mrow></math></span> and <span class="math-inline"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><mi>v</mi></mrow></math></span> (<span class="math-inline"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><mn>1</mn><mi></mi><mi>u</mi><mo>&#x0002C;</mo><mi>v</mi><mi></mi><mi>N</mi></mrow></math></span>) indicating that the graph contains an edge between <span class="math-inline"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><mi>u</mi></mrow></math></span> and <span class="math-inline"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><mi>v</mi></mrow></math></span>. It is guaranteed that <span class="math-inline"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><mi>u</mi><mo>&#x02260;</mo><mi>v</mi></mrow></math></span>, all edges are unique, and that the graph is indeed a triangle tree.</p>
</article>
<article class="section">
<h2>출력</h2>
<p>Output <span class="math-inline"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><mi>N</mi></mrow></math></span> integers indicating the colours of vertices <span class="math-inline"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><mn>1</mn><mo>&#x0002C;</mo><mn>2</mn><mo>&#x0002C;</mo><mo>&#x02026;</mo><mo>&#x0002C;</mo><mi>N</mi></mrow></math></span> in order. If you used <span class="math-inline"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><mi>k</mi></mrow></math></span> colours, the integers should be from the set <span class="math-inline"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><mo stretchy="false">&#x0007B;</mo><mn>1</mn><mo>&#x0002C;</mo><mn>2</mn><mo>&#x0002C;</mo><mo>&#x02026;</mo><mo>&#x0002C;</mo><mi>k</mi><mo stretchy="false">&#x0007D;</mo></mrow></math></span>. If there are multiple valid colourings, you may output any one of them. Recall the goal is to output such a colouring using the fewest colours possible, i.e. minimize <span class="math-inline"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><mi>k</mi></mrow></math></span>.</p>
</article>
<article class="section">
<h2>예제 입력 1 복사</h2>
<pre class="sampledata" id="sample-input-1">3 3
1 2
2 3
3 1
</pre>
</article>
<article class="section">
<h2>예제 입력 2 복사</h2>
<pre class="sampledata" id="sample-input-2">7 8
1 2
1 7
2 7
3 4
3 7
4 7
5 7
6 7
</pre>
</article>
<article class="section">
<h2>예제 입력 3 복사</h2>
<pre class="sampledata" id="sample-input-3">5 4
1 2
1 3
2 4
2 5
</pre>
</article>
<article class="section">
<h2>예제 출력 1 복사</h2>
<pre class="sampledata" id="sample-output-1">2 3 1
</pre>
</article>
<article class="section">
<h2>예제 출력 2 복사</h2>
<pre class="sampledata" id="sample-output-2">3 2 3 2 2 2 1
</pre>
</article>
<article class="section">
<h2>예제 출력 3 복사</h2>
<pre class="sampledata" id="sample-output-3">1 2 2 1 1
</pre>
</article>
</main>
</body>
</html>