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狼人杀-简单版
<div class="ques-view"><p>以下文字摘自《灵机一动·好玩的数学》：“狼人杀”游戏分为狼人、好人两大阵营。在一局“狼人杀”游戏中，1 号玩家说：“2 号是狼人”，2 号玩家说：“3 号是好人”，3 号玩家说：“4 号是狼人”，4 号玩家说：“5 号是好人”，5 号玩家说：“4 号是好人”。已知这 5 名玩家中有 2 人扮演狼人角色，有 2 人说的不是实话，有狼人撒谎但并不是所有狼人都在撒谎。扮演狼人角色的是哪两号玩家？</p>
<p>本题是这个问题的升级版：已知 <span class="katex"><span class="katex-mathml"><math><mrow><mi>N</mi></mrow>N</math></span><span aria-hidden="true" class="katex-html"><span class="strut" style="height:0.68333em;"></span><span class="strut bottom" style="height:0.68333em;vertical-align:0em;"></span><span class="base textstyle uncramped"><span class="mord mathit" style="margin-right:0.10903em;">N</span></span></span></span> 名玩家中有 2 人扮演狼人角色，有 2 人说的不是实话，有狼人撒谎但并不是所有狼人都在撒谎。要求你找出扮演狼人角色的是哪几号玩家？</p>
<h3 id="-">输入格式：</h3>
<p>输入在第一行中给出一个正整数 <span class="katex"><span class="katex-mathml"><math><mrow><mi>N</mi></mrow>N</math></span><span aria-hidden="true" class="katex-html"><span class="strut" style="height:0.68333em;"></span><span class="strut bottom" style="height:0.68333em;vertical-align:0em;"></span><span class="base textstyle uncramped"><span class="mord mathit" style="margin-right:0.10903em;">N</span></span></span></span>（<span class="katex"><span class="katex-mathml"><math><mrow><mn>5</mn><mo>≤</mo><mi>N</mi><mo>≤</mo><mn>1</mn><mn>0</mn><mn>0</mn></mrow>5 \le N \le 100</math></span><span aria-hidden="true" class="katex-html"><span class="strut" style="height:0.68333em;"></span><span class="strut bottom" style="height:0.8193em;vertical-align:-0.13597em;"></span><span class="base textstyle uncramped"><span class="mord mathrm">5</span><span class="mrel">≤</span><span class="mord mathit" style="margin-right:0.10903em;">N</span><span class="mrel">≤</span><span class="mord mathrm">1</span><span class="mord mathrm">0</span><span class="mord mathrm">0</span></span></span></span>）。随后 <span class="katex"><span class="katex-mathml"><math><mrow><mi>N</mi></mrow>N</math></span><span aria-hidden="true" class="katex-html"><span class="strut" style="height:0.68333em;"></span><span class="strut bottom" style="height:0.68333em;vertical-align:0em;"></span><span class="base textstyle uncramped"><span class="mord mathit" style="margin-right:0.10903em;">N</span></span></span></span> 行，第 <span class="katex"><span class="katex-mathml"><math><mrow><mi>i</mi></mrow>i</math></span><span aria-hidden="true" class="katex-html"><span class="strut" style="height:0.65952em;"></span><span class="strut bottom" style="height:0.65952em;vertical-align:0em;"></span><span class="base textstyle uncramped"><span class="mord mathit">i</span></span></span></span> 行给出第 <span class="katex"><span class="katex-mathml"><math><mrow><mi>i</mi></mrow>i</math></span><span aria-hidden="true" class="katex-html"><span class="strut" style="height:0.65952em;"></span><span class="strut bottom" style="height:0.65952em;vertical-align:0em;"></span><span class="base textstyle uncramped"><span class="mord mathit">i</span></span></span></span> 号玩家说的话（<span class="katex"><span class="katex-mathml"><math><mrow><mn>1</mn><mo>≤</mo><mi>i</mi><mo>≤</mo><mi>N</mi></mrow>1 \le i \le N</math></span><span aria-hidden="true" class="katex-html"><span class="strut" style="height:0.68333em;"></span><span class="strut bottom" style="height:0.8193em;vertical-align:-0.13597em;"></span><span class="base textstyle uncramped"><span class="mord mathrm">1</span><span class="mrel">≤</span><span class="mord mathit">i</span><span class="mrel">≤</span><span class="mord mathit" style="margin-right:0.10903em;">N</span></span></span></span>），即一个玩家编号，用正号表示好人，负号表示狼人。</p>
<h3 id="-">输出格式：</h3>
<p>如果有解，在一行中按递增顺序输出 2 个狼人的编号，其间以空格分隔，行首尾不得有多余空格。如果解不唯一，则输出最小序列解 —— 即对于两个序列 <span class="katex"><span class="katex-mathml"><math><mrow><mi>A</mi><mo>=</mo><mrow><mi>a</mi><mo>[</mo><mn>1</mn><mo>]</mo><mo separator="true">,</mo><mi mathvariant="normal">.</mi><mi mathvariant="normal">.</mi><mi mathvariant="normal">.</mi><mo separator="true">,</mo><mi>a</mi><mo>[</mo><mi>M</mi><mo>]</mo></mrow></mrow>A = { a[1], ..., a[M] }</math></span><span aria-hidden="true" class="katex-html"><span class="strut" style="height:0.75em;"></span><span class="strut bottom" style="height:1em;vertical-align:-0.25em;"></span><span class="base textstyle uncramped"><span class="mord mathit">A</span><span class="mrel">=</span><span class="mord textstyle uncramped"><span class="mord mathit">a</span><span class="mopen">[</span><span class="mord mathrm">1</span><span class="mclose">]</span><span class="mpunct">,</span><span class="mord mathrm">.</span><span class="mord mathrm">.</span><span class="mord mathrm">.</span><span class="mpunct">,</span><span class="mord mathit">a</span><span class="mopen">[</span><span class="mord mathit" style="margin-right:0.10903em;">M</span><span class="mclose">]</span></span></span></span></span> 和 <span class="katex"><span class="katex-mathml"><math><mrow><mi>B</mi><mo>=</mo><mrow><mi>b</mi><mo>[</mo><mn>1</mn><mo>]</mo><mo separator="true">,</mo><mi mathvariant="normal">.</mi><mi mathvariant="normal">.</mi><mi mathvariant="normal">.</mi><mo separator="true">,</mo><mi>b</mi><mo>[</mo><mi>M</mi><mo>]</mo></mrow></mrow>B = { b[1], ..., b[M] }</math></span><span aria-hidden="true" class="katex-html"><span class="strut" style="height:0.75em;"></span><span class="strut bottom" style="height:1em;vertical-align:-0.25em;"></span><span class="base textstyle uncramped"><span class="mord mathit" style="margin-right:0.05017em;">B</span><span class="mrel">=</span><span class="mord textstyle uncramped"><span class="mord mathit">b</span><span class="mopen">[</span><span class="mord mathrm">1</span><span class="mclose">]</span><span class="mpunct">,</span><span class="mord mathrm">.</span><span class="mord mathrm">.</span><span class="mord mathrm">.</span><span class="mpunct">,</span><span class="mord mathit">b</span><span class="mopen">[</span><span class="mord mathit" style="margin-right:0.10903em;">M</span><span class="mclose">]</span></span></span></span></span>，若存在 <span class="katex"><span class="katex-mathml"><math><mrow><mn>0</mn><mo>≤</mo><mi>k</mi><mo>&lt;</mo><mi>M</mi></mrow>0 \le k &lt; M</math></span><span aria-hidden="true" class="katex-html"><span class="strut" style="height:0.69444em;"></span><span class="strut bottom" style="height:0.83041em;vertical-align:-0.13597em;"></span><span class="base textstyle uncramped"><span class="mord mathrm">0</span><span class="mrel">≤</span><span class="mord mathit" style="margin-right:0.03148em;">k</span><span class="mrel">&lt;</span><span class="mord mathit" style="margin-right:0.10903em;">M</span></span></span></span> 使得 <span class="katex"><span class="katex-mathml"><math><mrow><mi>a</mi><mo>[</mo><mi>i</mi><mo>]</mo><mo>=</mo><mi>b</mi><mo>[</mo><mi>i</mi><mo>]</mo></mrow>a[i]=b[i]</math></span><span aria-hidden="true" class="katex-html"><span class="strut" style="height:0.75em;"></span><span class="strut bottom" style="height:1em;vertical-align:-0.25em;"></span><span class="base textstyle uncramped"><span class="mord mathit">a</span><span class="mopen">[</span><span class="mord mathit">i</span><span class="mclose">]</span><span class="mrel">=</span><span class="mord mathit">b</span><span class="mopen">[</span><span class="mord mathit">i</span><span class="mclose">]</span></span></span></span> （<span class="katex"><span class="katex-mathml"><math><mrow><mi>i</mi><mo>≤</mo><mi>k</mi></mrow>i \le k</math></span><span aria-hidden="true" class="katex-html"><span class="strut" style="height:0.69444em;"></span><span class="strut bottom" style="height:0.83041em;vertical-align:-0.13597em;"></span><span class="base textstyle uncramped"><span class="mord mathit">i</span><span class="mrel">≤</span><span class="mord mathit" style="margin-right:0.03148em;">k</span></span></span></span>），且 <span class="katex"><span class="katex-mathml"><math><mrow><mi>a</mi><mo>[</mo><mi>k</mi><mo>+</mo><mn>1</mn><mo>]</mo><mo>&lt;</mo><mi>b</mi><mo>[</mo><mi>k</mi><mo>+</mo><mn>1</mn><mo>]</mo></mrow>a[k+1]&lt;b[k+1]</math></span><span aria-hidden="true" class="katex-html"><span class="strut" style="height:0.75em;"></span><span class="strut bottom" style="height:1em;vertical-align:-0.25em;"></span><span class="base textstyle uncramped"><span class="mord mathit">a</span><span class="mopen">[</span><span class="mord mathit" style="margin-right:0.03148em;">k</span><span class="mbin">+</span><span class="mord mathrm">1</span><span class="mclose">]</span><span class="mrel">&lt;</span><span class="mord mathit">b</span><span class="mopen">[</span><span class="mord mathit" style="margin-right:0.03148em;">k</span><span class="mbin">+</span><span class="mord mathrm">1</span><span class="mclose">]</span></span></span></span>，则称序列 <span class="katex"><span class="katex-mathml"><math><mrow><mi>A</mi></mrow>A</math></span><span aria-hidden="true" class="katex-html"><span class="strut" style="height:0.68333em;"></span><span class="strut bottom" style="height:0.68333em;vertical-align:0em;"></span><span class="base textstyle uncramped"><span class="mord mathit">A</span></span></span></span> 小于序列 <span class="katex"><span class="katex-mathml"><math><mrow><mi>B</mi></mrow>B</math></span><span aria-hidden="true" class="katex-html"><span class="strut" style="height:0.68333em;"></span><span class="strut bottom" style="height:0.68333em;vertical-align:0em;"></span><span class="base textstyle uncramped"><span class="mord mathit" style="margin-right:0.05017em;">B</span></span></span></span>。若无解则输出 <code>No Solution</code>。</p>
<h3 id="-1-">输入样例 1：</h3>
<pre><code class="lang-in">5
-2
+3
-4
+5
+4
</code></pre>
<h3 id="-1-">输出样例 1：</h3>
<pre><code class="lang-out">1 4
</code></pre>
<h3 id="-2-">输入样例 2：</h3>
<pre><code class="lang-in">6
+6
+3
+1
-5
-2
+4
</code></pre>
<h3 id="-2-">输出样例 2（解不唯一）：</h3>
<pre><code class="lang-out">1 5
</code></pre>
<h3 id="-3-">输入样例 3：</h3>
<pre><code class="lang-in">5
-2
-3
-4
-5
-1
</code></pre>
<h3 id="-3-">输出样例 3：</h3>
<pre><code class="lang-out">No Solution
</code></pre>
</div>