Note.ms

<div data-v-0141667c="" data-v-50a205c7="" class="topic-description-wrapper el-flex-column"><div data-v-0141667c="" class="el-flex el-flex-between"><div data-v-0141667c="" class="title">QQ空间的说说</div></div><div data-v-0141667c="" class="info-row el-flex"><div data-v-0141667c="" class="info-item">题目难度：高阶</div><div data-v-0141667c="" class="info-item">时间限制：4000ms</div><div data-v-0141667c="" class="info-item">内存限制：1024mb</div></div><div data-v-0141667c="" class="detail"><div data-v-0141667c="" class="ohyeah-scroll-box" style="width: 100%; height: 100%;"><div class="ohyeah-scroll-vertical-track-h" style="background-color: transparent; opacity: 0;"><div style="transition: width 250ms ease 0s, height 250ms ease 0s; background-color: rgb(127, 127, 127); width: 6px; height: 57.4141px; transform: translateY(0px); border-radius: 6px;"></div></div> <div class="ohyeah-scroll-vertical-track-w disabled" style="background-color: transparent; opacity: 0;"><div style="transition: height 250ms ease 0s, width 250ms ease 0s; background-color: rgb(127, 127, 127); height: 6px; width: 0px; transform: translateX(0px);"></div></div> <div tabindex="9999" class="ohyeah-scroll-body isPc isSmooth"><div class="ohyeah-scroll-content"><div data-v-0141667c="" class="detail-body markdown-body"><div data-v-0141667c=""><h3 id="题目描述">题目描述</h3>
<p>Steaunk 是一名有时候很菜的 <mjx-container class="MathJax" jax="CHTML" style="font-size: 113.1%; position: relative;"><mjx-math class="MJX-TEX" aria-hidden="true"><mjx-mtext class="mjx-n"><mjx-c class="mjx-c4F"></mjx-c><mjx-c class="mjx-c49"></mjx-c><mjx-c class="mjx-c65"></mjx-c><mjx-c class="mjx-c72"></mjx-c></mjx-mtext></mjx-math><mjx-assistive-mml unselectable="on" display="inline"><math xmlns="http://www.w3.org/1998/Math/MathML"><mtext>OIer</mtext></math></mjx-assistive-mml></mjx-container>，有时候会颓废去刷 <mjx-container class="MathJax" jax="CHTML" style="font-size: 113.1%; position: relative;"><mjx-math class="MJX-TEX" aria-hidden="true"><mjx-mtext class="mjx-n"><mjx-c class="mjx-c51"></mjx-c><mjx-c class="mjx-c51"></mjx-c></mjx-mtext></mjx-math><mjx-assistive-mml unselectable="on" display="inline"><math xmlns="http://www.w3.org/1998/Math/MathML"><mtext>QQ</mtext></math></mjx-assistive-mml></mjx-container> 空间。</p>
<p>一天，他看到了这样的一条说说《最近很火的ABO性别测试。我是男O，你们呢？》。内容是这样的：</p>
<pre><code>请根据你的回答选择下一道题：
1.拥有属于自己的电脑的时候，你会精心挑选？
a.显示屏 - 2 b.键盘 - 3 c.鼠标 - 4
2.通常你会什么时候开始换夏装？
a.按日历节气来换 - 3 b.春天快结束的时候 - 5 c.热的不得不换衣服的时候 - 4
3.自己一个人的时候，你的坐姿是？
a.双腿并拢在一起 - 6 b.双腿叉开 - 4 c.翘二郎腿 - 5
4.遇到自己喜欢的人你会？
a.等待对方向自己告白 - 5 b.单恋对方 - 6 c.第一时间主动告白 - 7
5.你最喜欢什么材料的衣服？
a.丝绸 - 6 b.纱料 - 7 c.布料 - 8
6.自己做饭后，通常厨房什么样子？
a.乱得惨不忍睹 - 7 b.非常整洁干净 - 8 c.有一点点凌乱 - 9
7.你觉得历史战争电视剧对于你来说？
a.特别帅 - 8 b.很无语 - 9 c.特别有吸引力 - 10
8.每次出门的时候，你最注意的是？
a.自己是不是带了想带的东西 - 9 b.自己的味道 - 10 c.自己的发型和着装 - B
9.你认为工作套装和西服给你的感觉是？
a.庄重的服饰 - D b.过于拘谨的服饰 - E c.美丽的服饰 - A
10.如果为自己的房子选颜色的话你会选？
a.红色 - B b.白色 - C c.紫色 - D
A型 -&gt; 女性omega（强女性） B型 -&gt; 男性omega（弱女性） C型 -&gt; 中性beta D型 -&gt; 女性alpha（弱男性） E型 -&gt; 男性alpha（强男性）
</code></pre>
<p>反正 Steaunk 才不会相信这些假假的东西，于是他每次都是随机地选择一个选项，然后跳到对应的题目，继续随机地选择，直到选择出一个测试结果为止。</p>
<h3 id="题目描述-1">题目描述</h3>
<p>我们<strong>形式化地</strong>定义一下这样类型的测试：</p>
<ul>
<li><p>测试总共有 <mjx-container class="MathJax" jax="CHTML" style="font-size: 113.1%; position: relative;"><mjx-math class="MJX-TEX" aria-hidden="true"><mjx-mi class="mjx-i"><mjx-c class="mjx-c1D45B TEX-I"></mjx-c></mjx-mi></mjx-math><mjx-assistive-mml unselectable="on" display="inline"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>n</mi></math></mjx-assistive-mml></mjx-container> 道题；</p>
</li>
<li><p>第 <mjx-container class="MathJax" jax="CHTML" style="font-size: 113.1%; position: relative;"><mjx-math class="MJX-TEX" aria-hidden="true"><mjx-mi class="mjx-i"><mjx-c class="mjx-c1D456 TEX-I"></mjx-c></mjx-mi></mjx-math><mjx-assistive-mml unselectable="on" display="inline"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>i</mi></math></mjx-assistive-mml></mjx-container> 题有 <mjx-container class="MathJax" jax="CHTML" style="font-size: 113.1%; position: relative;"><mjx-math class="MJX-TEX" aria-hidden="true"><mjx-msub><mjx-mi class="mjx-i"><mjx-c class="mjx-c1D45A TEX-I"></mjx-c></mjx-mi><mjx-script style="vertical-align: -0.15em;"><mjx-mi class="mjx-i" size="s"><mjx-c class="mjx-c1D456 TEX-I"></mjx-c></mjx-mi></mjx-script></mjx-msub></mjx-math><mjx-assistive-mml unselectable="on" display="inline"><math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi>m</mi><mi>i</mi></msub></math></mjx-assistive-mml></mjx-container> 个选项；</p>
</li>
<li><p>第 <mjx-container class="MathJax" jax="CHTML" style="font-size: 113.1%; position: relative;"><mjx-math class="MJX-TEX" aria-hidden="true"><mjx-mi class="mjx-i"><mjx-c class="mjx-c1D456 TEX-I"></mjx-c></mjx-mi></mjx-math><mjx-assistive-mml unselectable="on" display="inline"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>i</mi></math></mjx-assistive-mml></mjx-container> 题的第 <mjx-container class="MathJax" jax="CHTML" style="font-size: 113.1%; position: relative;"><mjx-math class="MJX-TEX" aria-hidden="true"><mjx-mi class="mjx-i"><mjx-c class="mjx-c1D457 TEX-I"></mjx-c></mjx-mi></mjx-math><mjx-assistive-mml unselectable="on" display="inline"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>j</mi></math></mjx-assistive-mml></mjx-container> 个选项，要么是一个数字 <mjx-container class="MathJax" jax="CHTML" style="font-size: 113.1%; position: relative;"><mjx-math class="MJX-TEX" aria-hidden="true"><mjx-mi class="mjx-i"><mjx-c class="mjx-c1D465 TEX-I"></mjx-c></mjx-mi><mjx-mo class="mjx-n"><mjx-c class="mjx-c28"></mjx-c></mjx-mo><mjx-mi class="mjx-i"><mjx-c class="mjx-c1D456 TEX-I"></mjx-c></mjx-mi><mjx-mo class="mjx-n" space="4"><mjx-c class="mjx-c3C"></mjx-c></mjx-mo><mjx-mi class="mjx-i" space="4"><mjx-c class="mjx-c1D465 TEX-I"></mjx-c></mjx-mi><mjx-mo class="mjx-n" space="4"><mjx-c class="mjx-c2264"></mjx-c></mjx-mo><mjx-mi class="mjx-i" space="4"><mjx-c class="mjx-c1D45B TEX-I"></mjx-c></mjx-mi><mjx-mo class="mjx-n"><mjx-c class="mjx-c29"></mjx-c></mjx-mo></mjx-math><mjx-assistive-mml unselectable="on" display="inline"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo stretchy="false">(</mo><mi>i</mi><mo>&lt;</mo><mi>x</mi><mo>≤</mo><mi>n</mi><mo stretchy="false">)</mo></math></mjx-assistive-mml></mjx-container>，表示你如果选择了这个选项，你将会跳转到第 <mjx-container class="MathJax" jax="CHTML" style="font-size: 113.1%; position: relative;"><mjx-math class="MJX-TEX" aria-hidden="true"><mjx-mi class="mjx-i"><mjx-c class="mjx-c1D465 TEX-I"></mjx-c></mjx-mi></mjx-math><mjx-assistive-mml unselectable="on" display="inline"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi></math></mjx-assistive-mml></mjx-container> 道题作答；</p>
</li>
<li><p>要么是一个大写英文字母 <mjx-container class="MathJax" jax="CHTML" style="font-size: 113.1%; position: relative;"><mjx-math class="MJX-TEX" aria-hidden="true"><mjx-mi class="mjx-i"><mjx-c class="mjx-c1D6FC TEX-I"></mjx-c></mjx-mi></mjx-math><mjx-assistive-mml unselectable="on" display="inline"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>α</mi></math></mjx-assistive-mml></mjx-container>，表示你如果选择了这个选项，你将得到测试结果 <mjx-container class="MathJax" jax="CHTML" style="font-size: 113.1%; position: relative;"><mjx-math class="MJX-TEX" aria-hidden="true"><mjx-mi class="mjx-i"><mjx-c class="mjx-c1D6FC TEX-I"></mjx-c></mjx-mi></mjx-math><mjx-assistive-mml unselectable="on" display="inline"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>α</mi></math></mjx-assistive-mml></mjx-container>，结束测试。</p>
</li>
</ul>
<p>Steaunk 想知道对于一个给定的<strong>形如上面描述</strong>的测试，如果他一开始从<strong>第一道题</strong>开始作答，每次都是<strong>等概率随机地</strong>选择其中一个选项，然后执行对应的操作，直到得到一个<strong>大写英文字母</strong> <mjx-container class="MathJax" jax="CHTML" style="font-size: 113.1%; position: relative;"><mjx-math class="MJX-TEX" aria-hidden="true"><mjx-mi class="mjx-i"><mjx-c class="mjx-c1D6FC TEX-I"></mjx-c></mjx-mi></mjx-math><mjx-assistive-mml unselectable="on" display="inline"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>α</mi></math></mjx-assistive-mml></mjx-container> 表示的测试结果，结束测试，那么对于 <mjx-container class="MathJax" jax="CHTML" style="font-size: 113.1%; position: relative;"><mjx-math class="MJX-TEX" aria-hidden="true"><mjx-mi class="mjx-i"><mjx-c class="mjx-c1D434 TEX-I"></mjx-c></mjx-mi><mjx-mo class="mjx-n" space="4"><mjx-c class="mjx-c223C"></mjx-c></mjx-mo><mjx-mi class="mjx-i" space="4"><mjx-c class="mjx-c1D44D TEX-I"></mjx-c></mjx-mi></mjx-math><mjx-assistive-mml unselectable="on" display="inline"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>A</mi><mo>∼</mo><mi>Z</mi></math></mjx-assistive-mml></mjx-container> 中的每一个测试结果被选中的<strong>概率</strong>是多少？</p>
<h3 id="输入格式">输入格式</h3>
<p>第一行共一个正整数 <mjx-container class="MathJax" jax="CHTML" style="font-size: 113.1%; position: relative;"><mjx-math class="MJX-TEX" aria-hidden="true"><mjx-mi class="mjx-i"><mjx-c class="mjx-c1D45B TEX-I"></mjx-c></mjx-mi></mjx-math><mjx-assistive-mml unselectable="on" display="inline"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>n</mi></math></mjx-assistive-mml></mjx-container>，表示题目的数量。</p>
<p>接下来有 <mjx-container class="MathJax" jax="CHTML" style="font-size: 113.1%; position: relative;"><mjx-math class="MJX-TEX" aria-hidden="true"><mjx-mi class="mjx-i"><mjx-c class="mjx-c1D45B TEX-I"></mjx-c></mjx-mi></mjx-math><mjx-assistive-mml unselectable="on" display="inline"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>n</mi></math></mjx-assistive-mml></mjx-container> 行，每行第一个正整数 <mjx-container class="MathJax" jax="CHTML" style="font-size: 113.1%; position: relative;"><mjx-math class="MJX-TEX" aria-hidden="true"><mjx-msub><mjx-mi class="mjx-i"><mjx-c class="mjx-c1D45A TEX-I"></mjx-c></mjx-mi><mjx-script style="vertical-align: -0.15em;"><mjx-mi class="mjx-i" size="s"><mjx-c class="mjx-c1D456 TEX-I"></mjx-c></mjx-mi></mjx-script></mjx-msub></mjx-math><mjx-assistive-mml unselectable="on" display="inline"><math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi>m</mi><mi>i</mi></msub></math></mjx-assistive-mml></mjx-container> 表示第 <mjx-container class="MathJax" jax="CHTML" style="font-size: 113.1%; position: relative;"><mjx-math class="MJX-TEX" aria-hidden="true"><mjx-mi class="mjx-i"><mjx-c class="mjx-c1D456 TEX-I"></mjx-c></mjx-mi></mjx-math><mjx-assistive-mml unselectable="on" display="inline"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>i</mi></math></mjx-assistive-mml></mjx-container> 道题有 <mjx-container class="MathJax" jax="CHTML" style="font-size: 113.1%; position: relative;"><mjx-math class="MJX-TEX" aria-hidden="true"><mjx-msub><mjx-mi class="mjx-i"><mjx-c class="mjx-c1D45A TEX-I"></mjx-c></mjx-mi><mjx-script style="vertical-align: -0.15em;"><mjx-mi class="mjx-i" size="s"><mjx-c class="mjx-c1D456 TEX-I"></mjx-c></mjx-mi></mjx-script></mjx-msub></mjx-math><mjx-assistive-mml unselectable="on" display="inline"><math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi>m</mi><mi>i</mi></msub></math></mjx-assistive-mml></mjx-container> 个选项；</p>
<p>接着有 <mjx-container class="MathJax" jax="CHTML" style="font-size: 113.1%; position: relative;"><mjx-math class="MJX-TEX" aria-hidden="true"><mjx-msub><mjx-mi class="mjx-i"><mjx-c class="mjx-c1D45A TEX-I"></mjx-c></mjx-mi><mjx-script style="vertical-align: -0.15em;"><mjx-mi class="mjx-i" size="s"><mjx-c class="mjx-c1D456 TEX-I"></mjx-c></mjx-mi></mjx-script></mjx-msub></mjx-math><mjx-assistive-mml unselectable="on" display="inline"><math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi>m</mi><mi>i</mi></msub></math></mjx-assistive-mml></mjx-container> 个由空格分开的字符串，表示选项；</p>
<p>这个字符串要么可以表示为一个<strong>正整数</strong> <mjx-container class="MathJax" jax="CHTML" style="font-size: 113.1%; position: relative;"><mjx-math class="MJX-TEX" aria-hidden="true"><mjx-mi class="mjx-i"><mjx-c class="mjx-c1D465 TEX-I"></mjx-c></mjx-mi></mjx-math><mjx-assistive-mml unselectable="on" display="inline"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi></math></mjx-assistive-mml></mjx-container>，满足 <mjx-container class="MathJax" jax="CHTML" style="font-size: 113.1%; position: relative;"><mjx-math class="MJX-TEX" aria-hidden="true"><mjx-mi class="mjx-i"><mjx-c class="mjx-c1D456 TEX-I"></mjx-c></mjx-mi><mjx-mo class="mjx-n" space="4"><mjx-c class="mjx-c3C"></mjx-c></mjx-mo><mjx-mi class="mjx-i" space="4"><mjx-c class="mjx-c1D465 TEX-I"></mjx-c></mjx-mi><mjx-mo class="mjx-n" space="4"><mjx-c class="mjx-c2264"></mjx-c></mjx-mo><mjx-mi class="mjx-i" space="4"><mjx-c class="mjx-c1D45B TEX-I"></mjx-c></mjx-mi></mjx-math><mjx-assistive-mml unselectable="on" display="inline"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>i</mi><mo>&lt;</mo><mi>x</mi><mo>≤</mo><mi>n</mi></math></mjx-assistive-mml></mjx-container>，表示选择这个选项你会跳转到第 <mjx-container class="MathJax" jax="CHTML" style="font-size: 113.1%; position: relative;"><mjx-math class="MJX-TEX" aria-hidden="true"><mjx-mi class="mjx-i"><mjx-c class="mjx-c1D465 TEX-I"></mjx-c></mjx-mi></mjx-math><mjx-assistive-mml unselectable="on" display="inline"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi></math></mjx-assistive-mml></mjx-container> 题继续作答；</p>
<p>要么是<strong>一个大写英文字母</strong> <mjx-container class="MathJax" jax="CHTML" style="font-size: 113.1%; position: relative;"><mjx-math class="MJX-TEX" aria-hidden="true"><mjx-mi class="mjx-i"><mjx-c class="mjx-c1D6FC TEX-I"></mjx-c></mjx-mi></mjx-math><mjx-assistive-mml unselectable="on" display="inline"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>α</mi></math></mjx-assistive-mml></mjx-container>，表示选择这个选项，你得到测试结果 <mjx-container class="MathJax" jax="CHTML" style="font-size: 113.1%; position: relative;"><mjx-math class="MJX-TEX" aria-hidden="true"><mjx-mi class="mjx-i"><mjx-c class="mjx-c1D6FC TEX-I"></mjx-c></mjx-mi></mjx-math><mjx-assistive-mml unselectable="on" display="inline"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>α</mi></math></mjx-assistive-mml></mjx-container>，结束测试。</p>
<h3 id="输出格式">输出格式</h3>
<p>一行共 26 个非负整数，分别表示 <mjx-container class="MathJax" jax="CHTML" style="font-size: 113.1%; position: relative;"><mjx-math class="MJX-TEX" aria-hidden="true"><mjx-mi class="mjx-i"><mjx-c class="mjx-c1D434 TEX-I"></mjx-c></mjx-mi><mjx-mo class="mjx-n" space="4"><mjx-c class="mjx-c223C"></mjx-c></mjx-mo><mjx-mi class="mjx-i" space="4"><mjx-c class="mjx-c1D44D TEX-I"></mjx-c></mjx-mi></mjx-math><mjx-assistive-mml unselectable="on" display="inline"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>A</mi><mo>∼</mo><mi>Z</mi></math></mjx-assistive-mml></mjx-container> 型被选中的概率，模 998244353 后的值。</p>
<p><strong>提示：<mjx-container class="MathJax" jax="CHTML" style="font-size: 113.1%; position: relative;"><mjx-math class="MJX-TEX" aria-hidden="true"><mjx-mo class="mjx-n"><mjx-c class="mjx-c28"></mjx-c></mjx-mo><mjx-mi class="mjx-i"><mjx-c class="mjx-c1D465 TEX-I"></mjx-c></mjx-mi><mjx-mo class="mjx-n"><mjx-c class="mjx-c2C"></mjx-c></mjx-mo><mjx-mi class="mjx-i" space="2"><mjx-c class="mjx-c1D45D TEX-I"></mjx-c></mjx-mi><mjx-mo class="mjx-n"><mjx-c class="mjx-c29"></mjx-c></mjx-mo><mjx-mo class="mjx-n" space="4"><mjx-c class="mjx-c3D"></mjx-c></mjx-mo><mjx-mn class="mjx-n" space="4"><mjx-c class="mjx-c31"></mjx-c></mjx-mn><mjx-mo class="mjx-n"><mjx-c class="mjx-c2C"></mjx-c></mjx-mo><mjx-msup space="2"><mjx-mi class="mjx-i"><mjx-c class="mjx-c1D465 TEX-I"></mjx-c></mjx-mi><mjx-script style="vertical-align: 0.363em;"><mjx-texatom size="s" texclass="ORD"><mjx-mi class="mjx-i"><mjx-c class="mjx-c1D45D TEX-I"></mjx-c></mjx-mi><mjx-mo class="mjx-n"><mjx-c class="mjx-c2212"></mjx-c></mjx-mo><mjx-mn class="mjx-n"><mjx-c class="mjx-c31"></mjx-c></mjx-mn></mjx-texatom></mjx-script></mjx-msup><mjx-mo class="mjx-n" space="4"><mjx-c class="mjx-c2261"></mjx-c></mjx-mo><mjx-mn class="mjx-n" space="4"><mjx-c class="mjx-c31"></mjx-c></mjx-mn><mjx-mspace style="width: 0.444em;"></mjx-mspace><mjx-mo class="mjx-n"><mjx-c class="mjx-c28"></mjx-c></mjx-mo><mjx-mi class="mjx-n"><mjx-c class="mjx-c6D"></mjx-c><mjx-c class="mjx-c6F"></mjx-c><mjx-c class="mjx-c64"></mjx-c></mjx-mi><mjx-mspace style="width: 0.333em;"></mjx-mspace><mjx-mi class="mjx-i" space="2"><mjx-c class="mjx-c1D45D TEX-I"></mjx-c></mjx-mi><mjx-mo class="mjx-n"><mjx-c class="mjx-c29"></mjx-c></mjx-mo></mjx-math><mjx-assistive-mml unselectable="on" display="inline"><math xmlns="http://www.w3.org/1998/Math/MathML"><mo stretchy="false">(</mo><mi>x</mi><mo>,</mo><mi>p</mi><mo stretchy="false">)</mo><mo>=</mo><mn>1</mn><mo>,</mo><msup><mi>x</mi><mrow data-mjx-texclass="ORD"><mi>p</mi><mo>−</mo><mn>1</mn></mrow></msup><mo>≡</mo><mn>1</mn><mspace width="0.444em"></mspace><mo stretchy="false">(</mo><mi>mod</mi><mspace width="0.333em"></mspace><mi>p</mi><mo stretchy="false">)</mo></math></mjx-assistive-mml></mjx-container>。</strong></p>
<h4 id="输入样例1">输入样例#1</h4>
<pre><code>3
2 2 3
1 A
1 B
</code></pre>
<h4 id="输出样例1">输出样例#1</h4>
<pre><code>499122177 499122177 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
</code></pre>
<h3 id="样例说明">样例说明</h3>
<p>Steaunk 有 <mjx-container class="MathJax" jax="CHTML" style="font-size: 113.1%; position: relative;"><mjx-math class="MJX-TEX" aria-hidden="true"><mjx-mfrac><mjx-frac><mjx-num><mjx-nstrut></mjx-nstrut><mjx-mn class="mjx-n" size="s"><mjx-c class="mjx-c31"></mjx-c></mjx-mn></mjx-num><mjx-dbox><mjx-dtable><mjx-line></mjx-line><mjx-row><mjx-den><mjx-dstrut></mjx-dstrut><mjx-mn class="mjx-n" size="s"><mjx-c class="mjx-c32"></mjx-c></mjx-mn></mjx-den></mjx-row></mjx-dtable></mjx-dbox></mjx-frac></mjx-mfrac></mjx-math><mjx-assistive-mml unselectable="on" display="inline"><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>1</mn><mn>2</mn></mfrac></math></mjx-assistive-mml></mjx-container> 的概率得到测试结果 <mjx-container class="MathJax" jax="CHTML" style="font-size: 113.1%; position: relative;"><mjx-math class="MJX-TEX" aria-hidden="true"><mjx-mi class="mjx-i"><mjx-c class="mjx-c1D434 TEX-I"></mjx-c></mjx-mi></mjx-math><mjx-assistive-mml unselectable="on" display="inline"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>A</mi></math></mjx-assistive-mml></mjx-container>，<mjx-container class="MathJax" jax="CHTML" style="font-size: 113.1%; position: relative;"><mjx-math class="MJX-TEX" aria-hidden="true"><mjx-mfrac><mjx-frac><mjx-num><mjx-nstrut></mjx-nstrut><mjx-mn class="mjx-n" size="s"><mjx-c class="mjx-c31"></mjx-c></mjx-mn></mjx-num><mjx-dbox><mjx-dtable><mjx-line></mjx-line><mjx-row><mjx-den><mjx-dstrut></mjx-dstrut><mjx-mn class="mjx-n" size="s"><mjx-c class="mjx-c32"></mjx-c></mjx-mn></mjx-den></mjx-row></mjx-dtable></mjx-dbox></mjx-frac></mjx-mfrac></mjx-math><mjx-assistive-mml unselectable="on" display="inline"><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>1</mn><mn>2</mn></mfrac></math></mjx-assistive-mml></mjx-container> 的概率得到测试结果 <mjx-container class="MathJax" jax="CHTML" style="font-size: 113.1%; position: relative;"><mjx-math class="MJX-TEX" aria-hidden="true"><mjx-mi class="mjx-i"><mjx-c class="mjx-c1D435 TEX-I"></mjx-c></mjx-mi></mjx-math><mjx-assistive-mml unselectable="on" display="inline"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>B</mi></math></mjx-assistive-mml></mjx-container>，测试结果 <mjx-container class="MathJax" jax="CHTML" style="font-size: 113.1%; position: relative;"><mjx-math class="MJX-TEX" aria-hidden="true"><mjx-mi class="mjx-i"><mjx-c class="mjx-c1D436 TEX-I"></mjx-c></mjx-mi><mjx-mo class="mjx-n" space="4"><mjx-c class="mjx-c223C"></mjx-c></mjx-mo><mjx-mi class="mjx-i" space="4"><mjx-c class="mjx-c1D44D TEX-I"></mjx-c></mjx-mi></mjx-math><mjx-assistive-mml unselectable="on" display="inline"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>C</mi><mo>∼</mo><mi>Z</mi></math></mjx-assistive-mml></mjx-container> 都不可能得到。</p>
<h3 id="数据范围">数据范围</h3>
<p>对于 <mjx-container class="MathJax" jax="CHTML" style="font-size: 113.1%; position: relative;"><mjx-math class="MJX-TEX" aria-hidden="true"><mjx-mn class="mjx-n"><mjx-c class="mjx-c31"></mjx-c><mjx-c class="mjx-c30"></mjx-c><mjx-c class="mjx-c30"></mjx-c></mjx-mn><mjx-mi class="mjx-n"><mjx-c class="mjx-c25"></mjx-c></mjx-mi></mjx-math><mjx-assistive-mml unselectable="on" display="inline"><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>100</mn><mi mathvariant="normal">%</mi></math></mjx-assistive-mml></mjx-container> 的数据：<mjx-container class="MathJax" jax="CHTML" style="font-size: 113.1%; position: relative;"><mjx-math class="MJX-TEX" aria-hidden="true"><mjx-mi class="mjx-i"><mjx-c class="mjx-c1D45B TEX-I"></mjx-c></mjx-mi><mjx-mo class="mjx-n" space="4"><mjx-c class="mjx-c2264"></mjx-c></mjx-mo><mjx-mn class="mjx-n" space="4"><mjx-c class="mjx-c35"></mjx-c></mjx-mn><mjx-mo class="mjx-n" space="3"><mjx-c class="mjx-cD7"></mjx-c></mjx-mo><mjx-msup space="3"><mjx-mn class="mjx-n"><mjx-c class="mjx-c31"></mjx-c><mjx-c class="mjx-c30"></mjx-c></mjx-mn><mjx-script style="vertical-align: 0.393em;"><mjx-mn class="mjx-n" size="s"><mjx-c class="mjx-c36"></mjx-c></mjx-mn></mjx-script></mjx-msup><mjx-mo class="mjx-n"><mjx-c class="mjx-c2C"></mjx-c></mjx-mo><mjx-munderover space="2" limits="false"><mjx-mo class="mjx-sop"><mjx-c class="mjx-c2211 TEX-S1"></mjx-c></mjx-mo><mjx-script style="vertical-align: -0.285em; margin-left: 0px;"><mjx-texatom size="s" texclass="ORD"><mjx-mi class="mjx-i"><mjx-c class="mjx-c1D45B TEX-I"></mjx-c></mjx-mi></mjx-texatom><mjx-spacer style="margin-top: 0.284em;"></mjx-spacer><mjx-texatom size="s" texclass="ORD"><mjx-mi class="mjx-i"><mjx-c class="mjx-c1D456 TEX-I"></mjx-c></mjx-mi><mjx-mo class="mjx-n"><mjx-c class="mjx-c3D"></mjx-c></mjx-mo><mjx-mn class="mjx-n"><mjx-c class="mjx-c31"></mjx-c></mjx-mn></mjx-texatom></mjx-script></mjx-munderover><mjx-msub space="2"><mjx-mi class="mjx-i"><mjx-c class="mjx-c1D45A TEX-I"></mjx-c></mjx-mi><mjx-script style="vertical-align: -0.15em;"><mjx-mi class="mjx-i" size="s"><mjx-c class="mjx-c1D456 TEX-I"></mjx-c></mjx-mi></mjx-script></mjx-msub><mjx-mo class="mjx-n" space="4"><mjx-c class="mjx-c2264"></mjx-c></mjx-mo><mjx-msup space="4"><mjx-mn class="mjx-n"><mjx-c class="mjx-c31"></mjx-c><mjx-c class="mjx-c30"></mjx-c></mjx-mn><mjx-script style="vertical-align: 0.393em;"><mjx-mn class="mjx-n" size="s"><mjx-c class="mjx-c37"></mjx-c></mjx-mn></mjx-script></mjx-msup></mjx-math><mjx-assistive-mml unselectable="on" display="inline"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>n</mi><mo>≤</mo><mn>5</mn><mo>×</mo><msup><mn>10</mn><mn>6</mn></msup><mo>,</mo><munderover><mo data-mjx-texclass="OP">∑</mo><mrow data-mjx-texclass="ORD"><mi>i</mi><mo>=</mo><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></munderover><msub><mi>m</mi><mi>i</mi></msub><mo>≤</mo><msup><mn>10</mn><mn>7</mn></msup></math></mjx-assistive-mml></mjx-container></p>
<p><img src="https://tdog-1300573238.cos.ap-guangzhou.myqcloud.com/alg/imgs/947/t1.png" alt=""></p>
<p><mjx-container class="MathJax" jax="CHTML" style="font-size: 113.1%; position: relative;"><mjx-math class="MJX-TEX" aria-hidden="true"><mjx-msub><mjx-mi class="mjx-i"><mjx-c class="mjx-c1D446 TEX-I"></mjx-c></mjx-mi><mjx-script style="vertical-align: -0.15em; margin-left: -0.032em;"><mjx-mn class="mjx-n" size="s"><mjx-c class="mjx-c31"></mjx-c></mjx-mn></mjx-script></mjx-msub></mjx-math><mjx-assistive-mml unselectable="on" display="inline"><math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi>S</mi><mn>1</mn></msub></math></mjx-assistive-mml></mjx-container>：数据在范围内随机，且当且仅当满足该性质的数据的 <mjx-container class="MathJax" jax="CHTML" style="font-size: 113.1%; position: relative;"><mjx-math class="MJX-TEX" aria-hidden="true"><mjx-mi class="mjx-i"><mjx-c class="mjx-c1D45B TEX-I"></mjx-c></mjx-mi><mjx-mo class="mjx-n" space="4"><mjx-c class="mjx-c2261"></mjx-c></mjx-mo><mjx-mn class="mjx-n" space="4"><mjx-c class="mjx-c39"></mjx-c></mjx-mn><mjx-mspace style="width: 0.444em;"></mjx-mspace><mjx-mo class="mjx-n"><mjx-c class="mjx-c28"></mjx-c></mjx-mo><mjx-mi class="mjx-n"><mjx-c class="mjx-c6D"></mjx-c><mjx-c class="mjx-c6F"></mjx-c><mjx-c class="mjx-c64"></mjx-c></mjx-mi><mjx-mspace style="width: 0.333em;"></mjx-mspace><mjx-mn class="mjx-n" space="2"><mjx-c class="mjx-c31"></mjx-c><mjx-c class="mjx-c30"></mjx-c></mjx-mn><mjx-mo class="mjx-n"><mjx-c class="mjx-c29"></mjx-c></mjx-mo></mjx-math><mjx-assistive-mml unselectable="on" display="inline"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>n</mi><mo>≡</mo><mn>9</mn><mspace width="0.444em"></mspace><mo stretchy="false">(</mo><mi>mod</mi><mspace width="0.333em"></mspace><mn>10</mn><mo stretchy="false">)</mo></math></mjx-assistive-mml></mjx-container>；</p>
<p><mjx-container class="MathJax" jax="CHTML" style="font-size: 113.1%; position: relative;"><mjx-math class="MJX-TEX" aria-hidden="true"><mjx-msub><mjx-mi class="mjx-i"><mjx-c class="mjx-c1D446 TEX-I"></mjx-c></mjx-mi><mjx-script style="vertical-align: -0.15em; margin-left: -0.032em;"><mjx-mn class="mjx-n" size="s"><mjx-c class="mjx-c32"></mjx-c></mjx-mn></mjx-script></mjx-msub></mjx-math><mjx-assistive-mml unselectable="on" display="inline"><math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi>S</mi><mn>2</mn></msub></math></mjx-assistive-mml></mjx-container>：对于任意的两道题的任意的两个选项（如果该选项是一个数字），那么这两个选项的值 <mjx-container class="MathJax" jax="CHTML" style="font-size: 113.1%; position: relative;"><mjx-math class="MJX-TEX" aria-hidden="true"><mjx-mi class="mjx-i"><mjx-c class="mjx-c1D465 TEX-I"></mjx-c></mjx-mi></mjx-math><mjx-assistive-mml unselectable="on" display="inline"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi></math></mjx-assistive-mml></mjx-container> 一定不相等；</p>
<p><mjx-container class="MathJax" jax="CHTML" style="font-size: 113.1%; position: relative;"><mjx-math class="MJX-TEX" aria-hidden="true"><mjx-msub><mjx-mi class="mjx-i"><mjx-c class="mjx-c1D446 TEX-I"></mjx-c></mjx-mi><mjx-script style="vertical-align: -0.15em; margin-left: -0.032em;"><mjx-mn class="mjx-n" size="s"><mjx-c class="mjx-c33"></mjx-c></mjx-mn></mjx-script></mjx-msub></mjx-math><mjx-assistive-mml unselectable="on" display="inline"><math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi>S</mi><mn>3</mn></msub></math></mjx-assistive-mml></mjx-container>：对于第 <mjx-container class="MathJax" jax="CHTML" style="font-size: 113.1%; position: relative;"><mjx-math class="MJX-TEX" aria-hidden="true"><mjx-mi class="mjx-i"><mjx-c class="mjx-c1D456 TEX-I"></mjx-c></mjx-mi></mjx-math><mjx-assistive-mml unselectable="on" display="inline"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>i</mi></math></mjx-assistive-mml></mjx-container> 题一定前 <mjx-container class="MathJax" jax="CHTML" style="font-size: 113.1%; position: relative;"><mjx-math class="MJX-TEX" aria-hidden="true"><mjx-msub><mjx-mi class="mjx-i"><mjx-c class="mjx-c1D45A TEX-I"></mjx-c></mjx-mi><mjx-script style="vertical-align: -0.15em;"><mjx-mi class="mjx-i" size="s"><mjx-c class="mjx-c1D456 TEX-I"></mjx-c></mjx-mi></mjx-script></mjx-msub><mjx-mo class="mjx-n" space="3"><mjx-c class="mjx-c2212"></mjx-c></mjx-mo><mjx-mn class="mjx-n" space="3"><mjx-c class="mjx-c31"></mjx-c></mjx-mn></mjx-math><mjx-assistive-mml unselectable="on" display="inline"><math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi>m</mi><mi>i</mi></msub><mo>−</mo><mn>1</mn></math></mjx-assistive-mml></mjx-container> 个选项是数字，第 <mjx-container class="MathJax" jax="CHTML" style="font-size: 113.1%; position: relative;"><mjx-math class="MJX-TEX" aria-hidden="true"><mjx-msub><mjx-mi class="mjx-i"><mjx-c class="mjx-c1D45A TEX-I"></mjx-c></mjx-mi><mjx-script style="vertical-align: -0.15em;"><mjx-mi class="mjx-i" size="s"><mjx-c class="mjx-c1D456 TEX-I"></mjx-c></mjx-mi></mjx-script></mjx-msub></mjx-math><mjx-assistive-mml unselectable="on" display="inline"><math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi>m</mi><mi>i</mi></msub></math></mjx-assistive-mml></mjx-container> 个选项是英文大写字母。</p>
<p>强的同学肯定看不到这句话， 看到 <mjx-container class="MathJax" jax="CHTML" style="font-size: 113.1%; position: relative;"><mjx-math class="MJX-TEX" aria-hidden="true"><mjx-mn class="mjx-n"><mjx-c class="mjx-c31"></mjx-c><mjx-c class="mjx-c30"></mjx-c><mjx-c class="mjx-c30"></mjx-c></mjx-mn><mjx-mi class="mjx-n"><mjx-c class="mjx-c25"></mjx-c></mjx-mi></mjx-math><mjx-assistive-mml unselectable="on" display="inline"><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>100</mn><mi mathvariant="normal">%</mi></math></mjx-assistive-mml></mjx-container> 的数据就直接敲代码了！</p>
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