1488 - Emiya 家今天的饭

通过次数

提交次数

旧版界面

时间限制 : 3 秒

内存限制 : 128 MB

输入

第 1 行两个用单个空格隔开的整数。

第 2 行至第行，每行个用单个空格隔开的整数，其中第行的 $m$ 个数依次为 $a_{i 1} a_{i 2} \dots a_{i m}$ 。

输出

仅一行一个整数，表示所求方案数对 $998244353$ 取模的结果

样例

输入

2 3 
1 0 1
0 1 1

输出

提示

2 3 
1 0 1
0 1 1

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【样例 1 解释】

由于在这个样例中，对于每组&nbsp;<span class="katex" style="font-size:1.21em;line-height:1.2;font-family:KaTeX_Main&#44;;"><span class="katex-mathml">i&#44; j</span><span class="katex-html"><span class="strut" style="vertical-align:-0.19444em;"></span><span class="mord mathnormal" style="font-family:KaTeX_Math;font-style:italic;">i</span><span class="mpunct">&#44;</span><span class="mspace"></span><span class="mord mathnormal" style="font-family:KaTeX_Math;font-style:italic;">j</span></span></span>，Emiya 都最多只会做一道菜，因此我们直接通过给出烹饪方法、主要食材的编号来描述一道菜。

符合要求的方案包括：

<li>
	做一道用烹饪方法 1、主要食材 1 的菜和一道用烹饪方法 2、主要食材 2 的菜
</li>
<li>
	做一道用烹饪方法 1、主要食材 1 的菜和一道用烹饪方法 2、主要食材 3 的菜
</li>
<li>
	做一道用烹饪方法 1、主要食材 3 的菜和一道用烹饪方法 2、主要食材 2 的菜
</li>

因此输出结果为&nbsp;<span class="katex" style="font-size:1.21em;line-height:1.2;font-family:KaTeX_Main&#44;;"><span class="katex-mathml">3 \mod 998&#44;244&#44;353 = 3</span><span class="katex-html"><span class="strut" style="vertical-align:0em;"></span><span class="mord">3</span><span class="mspace allowbreak"></span><span class="mspace"></span><span class="strut" style="vertical-align:-0.19444em;"></span><span class="mord"><span class="mord"><span class="mord mathrm">m</span><span class="mord mathrm">o</span><span class="mord mathrm">d</span></span></span><span class="mspace"></span><span class="mspace"></span><span class="mord">9</span><span class="mord">9</span><span class="mord">8</span><span class="mpunct">&#44;</span><span class="mspace"></span><span class="mord">2</span><span class="mord">4</span><span class="mord">4</span><span class="mpunct">&#44;</span><span class="mspace"></span><span class="mord">3</span><span class="mord">5</span><span class="mord">3</span><span class="mspace"></span><span class="mrel">=</span><span class="mspace"></span><span class="strut" style="vertical-align:0em;"></span><span class="mord">3</span></span></span>。 需要注意的是，所有只包含一道菜的方案都是不符合要求的，因为唯一的主要食材在超过一半的菜中出现，这不满足 Yazid 的要求。

【样例 2 解释】

Emiya 必须至少做 2 道菜。

做 2 道菜的符合要求的方案数为 100。

做 3 道菜的符合要求的方案数为 90。

因此符合要求的方案数为 100 + 90 = 190。

【数据范围】 <br />
<table style="width:669.656px;margin:10px;color:rgba(0&#44;font-family:-apple-system&#44;font-size:16px;background-color:#FFFFFF;">
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				测试点编号
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				<span class="katex" style="font-weight:normal;font-size:1.21em;line-height:1.2;font-family:KaTeX_Main&#44;;"><span class="katex-mathml">n=</span><span class="katex-html"><span class="strut" style="vertical-align:0em;"></span><span class="mord mathnormal" style="font-family:KaTeX_Math;font-style:italic;">n</span><span class="mspace"></span><span class="mrel">=</span></span></span> 
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				<span class="katex" style="font-weight:normal;font-size:1.21em;line-height:1.2;font-family:KaTeX_Main&#44;;"><span class="katex-mathml">m=</span><span class="katex-html"><span class="strut" style="vertical-align:0em;"></span><span class="mord mathnormal" style="font-family:KaTeX_Math;font-style:italic;">m</span><span class="mspace"></span><span class="mrel">=</span></span></span> 
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			<th style="border:1px solid #DDDDDD;text-align:center;">
				<span class="katex" style="font-weight:normal;font-size:1.21em;line-height:1.2;font-family:KaTeX_Main&#44;;"><span class="katex-mathml">a_{i&#44;j}&lt;</span><span class="katex-html"><span class="strut" style="vertical-align:-0.286108em;"></span><span class="mord"><span class="mord mathnormal" style="font-family:KaTeX_Math;font-style:italic;">a</span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="vertical-align:bottom;"><span><span class="pstrut"></span><span class="sizing reset-size6 size3 mtight" style="font-size:0.7em;"><span class="mord mtight"><span class="mord mathnormal mtight" style="font-family:KaTeX_Math;font-style:italic;">i</span><span class="mpunct mtight">&#44;</span><span class="mord mathnormal mtight" style="font-family:KaTeX_Math;font-style:italic;">j</span></span></span></span></span><span class="vlist-s" style="vertical-align:bottom;font-size:1px;"></span></span><span class="vlist-r"><span class="vlist" style="vertical-align:bottom;"><span></span></span></span></span></span></span><span class="mspace"></span><span class="mrel">&lt;</span></span></span> 
			</th>
			<th style="border:1px solid #DDDDDD;text-align:center;">
				测试点编号
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				<span class="katex" style="font-weight:normal;font-size:1.21em;line-height:1.2;font-family:KaTeX_Main&#44;;"><span class="katex-mathml">n=</span><span class="katex-html"><span class="strut" style="vertical-align:0em;"></span><span class="mord mathnormal" style="font-family:KaTeX_Math;font-style:italic;">n</span><span class="mspace"></span><span class="mrel">=</span></span></span> 
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				<span class="katex" style="font-weight:normal;font-size:1.21em;line-height:1.2;font-family:KaTeX_Main&#44;;"><span class="katex-mathml">m=</span><span class="katex-html"><span class="strut" style="vertical-align:0em;"></span><span class="mord mathnormal" style="font-family:KaTeX_Math;font-style:italic;">m</span><span class="mspace"></span><span class="mrel">=</span></span></span> 
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				<span class="katex" style="font-weight:normal;font-size:1.21em;line-height:1.2;font-family:KaTeX_Main&#44;;"><span class="katex-mathml">a_{i&#44;j}&lt;</span><span class="katex-html"><span class="strut" style="vertical-align:-0.286108em;"></span><span class="mord"><span class="mord mathnormal" style="font-family:KaTeX_Math;font-style:italic;">a</span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="vertical-align:bottom;"><span><span class="pstrut"></span><span class="sizing reset-size6 size3 mtight" style="font-size:0.7em;"><span class="mord mtight"><span class="mord mathnormal mtight" style="font-family:KaTeX_Math;font-style:italic;">i</span><span class="mpunct mtight">&#44;</span><span class="mord mathnormal mtight" style="font-family:KaTeX_Math;font-style:italic;">j</span></span></span></span></span><span class="vlist-s" style="vertical-align:bottom;font-size:1px;"></span></span><span class="vlist-r"><span class="vlist" style="vertical-align:bottom;"><span></span></span></span></span></span></span><span class="mspace"></span><span class="mrel">&lt;</span></span></span> 
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				<span class="katex" style="font-size:1.21em;line-height:1.2;font-family:KaTeX_Main&#44;;"><span class="katex-mathml">1</span><span class="katex-html"><span class="strut" style="vertical-align:0em;"></span><span class="mord">1</span></span></span> 
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			<td style="border:1px solid #DDDDDD;text-align:center;">
				<span class="katex" style="font-size:1.21em;line-height:1.2;font-family:KaTeX_Main&#44;;"><span class="katex-mathml">2</span><span class="katex-html"><span class="strut" style="vertical-align:0em;"></span><span class="mord">2</span></span></span> 
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			<td style="border:1px solid #DDDDDD;text-align:center;">
				<span class="katex" style="font-size:1.21em;line-height:1.2;font-family:KaTeX_Main&#44;;"><span class="katex-mathml">2</span><span class="katex-html"><span class="strut" style="vertical-align:0em;"></span><span class="mord">2</span></span></span> 
			</td>
			<td style="border:1px solid #DDDDDD;text-align:center;">
				<span class="katex" style="font-size:1.21em;line-height:1.2;font-family:KaTeX_Main&#44;;"><span class="katex-mathml">2</span><span class="katex-html"><span class="strut" style="vertical-align:0em;"></span><span class="mord">2</span></span></span> 
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			<td style="border:1px solid #DDDDDD;text-align:center;">
				<span class="katex" style="font-size:1.21em;line-height:1.2;font-family:KaTeX_Main&#44;;"><span class="katex-mathml">7</span><span class="katex-html"><span class="strut" style="vertical-align:0em;"></span><span class="mord">7</span></span></span> 
			</td>
			<td style="border:1px solid #DDDDDD;text-align:center;">
				<span class="katex" style="font-size:1.21em;line-height:1.2;font-family:KaTeX_Main&#44;;"><span class="katex-mathml">10</span><span class="katex-html"><span class="strut" style="vertical-align:0em;"></span><span class="mord">1</span><span class="mord">0</span></span></span> 
			</td>
			<td style="border:1px solid #DDDDDD;text-align:center;">
				<span class="katex" style="font-size:1.21em;line-height:1.2;font-family:KaTeX_Main&#44;;"><span class="katex-mathml">2</span><span class="katex-html"><span class="strut" style="vertical-align:0em;"></span><span class="mord">2</span></span></span> 
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			<td style="border:1px solid #DDDDDD;text-align:center;">
				<span class="katex" style="font-size:1.21em;line-height:1.2;font-family:KaTeX_Main&#44;;"><span class="katex-mathml">10^3</span><span class="katex-html"><span class="strut" style="vertical-align:0em;"></span><span class="mord">1</span><span class="mord"><span class="mord">0</span><span class="msupsub"><span class="vlist-t"><span class="vlist-r"><span class="vlist" style="vertical-align:bottom;"><span><span class="pstrut"></span><span class="sizing reset-size6 size3 mtight" style="font-size:0.7em;"><span class="mord mtight">3</span></span></span></span></span></span></span></span></span></span> 
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			<td style="border:1px solid #DDDDDD;text-align:center;">
				<span class="katex" style="font-size:1.21em;line-height:1.2;font-family:KaTeX_Main&#44;;"><span class="katex-mathml">2</span><span class="katex-html"><span class="strut" style="vertical-align:0em;"></span><span class="mord">2</span></span></span> 
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			<td style="border:1px solid #DDDDDD;text-align:center;">
				<span class="katex" style="font-size:1.21em;line-height:1.2;font-family:KaTeX_Main&#44;;"><span class="katex-mathml">2</span><span class="katex-html"><span class="strut" style="vertical-align:0em;"></span><span class="mord">2</span></span></span> 
			</td>
			<td style="border:1px solid #DDDDDD;text-align:center;">
				<span class="katex" style="font-size:1.21em;line-height:1.2;font-family:KaTeX_Main&#44;;"><span class="katex-mathml">3</span><span class="katex-html"><span class="strut" style="vertical-align:0em;"></span><span class="mord">3</span></span></span> 
			</td>
			<td style="border:1px solid #DDDDDD;text-align:center;">
				<span class="katex" style="font-size:1.21em;line-height:1.2;font-family:KaTeX_Main&#44;;"><span class="katex-mathml">2</span><span class="katex-html"><span class="strut" style="vertical-align:0em;"></span><span class="mord">2</span></span></span> 
			</td>
			<td style="border:1px solid #DDDDDD;text-align:center;">
				<span class="katex" style="font-size:1.21em;line-height:1.2;font-family:KaTeX_Main&#44;;"><span class="katex-mathml">8</span><span class="katex-html"><span class="strut" style="vertical-align:0em;"></span><span class="mord">8</span></span></span> 
			</td>
			<td style="border:1px solid #DDDDDD;text-align:center;">
				<span class="katex" style="font-size:1.21em;line-height:1.2;font-family:KaTeX_Main&#44;;"><span class="katex-mathml">10</span><span class="katex-html"><span class="strut" style="vertical-align:0em;"></span><span class="mord">1</span><span class="mord">0</span></span></span> 
			</td>
			<td style="border:1px solid #DDDDDD;text-align:center;">
				<span class="katex" style="font-size:1.21em;line-height:1.2;font-family:KaTeX_Main&#44;;"><span class="katex-mathml">3</span><span class="katex-html"><span class="strut" style="vertical-align:0em;"></span><span class="mord">3</span></span></span> 
			</td>
			<td style="border:1px solid #DDDDDD;text-align:center;">
				<span class="katex" style="font-size:1.21em;line-height:1.2;font-family:KaTeX_Main&#44;;"><span class="katex-mathml">10^3</span><span class="katex-html"><span class="strut" style="vertical-align:0em;"></span><span class="mord">1</span><span class="mord"><span class="mord">0</span><span class="msupsub"><span class="vlist-t"><span class="vlist-r"><span class="vlist" style="vertical-align:bottom;"><span><span class="pstrut"></span><span class="sizing reset-size6 size3 mtight" style="font-size:0.7em;"><span class="mord mtight">3</span></span></span></span></span></span></span></span></span></span> 
			</td>
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			<td style="border:1px solid #DDDDDD;text-align:center;">
				<span class="katex" style="font-size:1.21em;line-height:1.2;font-family:KaTeX_Main&#44;;"><span class="katex-mathml">3</span><span class="katex-html"><span class="strut" style="vertical-align:0em;"></span><span class="mord">3</span></span></span> 
			</td>
			<td style="border:1px solid #DDDDDD;text-align:center;">
				<span class="katex" style="font-size:1.21em;line-height:1.2;font-family:KaTeX_Main&#44;;"><span class="katex-mathml">5</span><span class="katex-html"><span class="strut" style="vertical-align:0em;"></span><span class="mord">5</span></span></span> 
			</td>
			<td style="border:1px solid #DDDDDD;text-align:center;">
				<span class="katex" style="font-size:1.21em;line-height:1.2;font-family:KaTeX_Main&#44;;"><span class="katex-mathml">2</span><span class="katex-html"><span class="strut" style="vertical-align:0em;"></span><span class="mord">2</span></span></span> 
			</td>
			<td style="border:1px solid #DDDDDD;text-align:center;">
				<span class="katex" style="font-size:1.21em;line-height:1.2;font-family:KaTeX_Main&#44;;"><span class="katex-mathml">2</span><span class="katex-html"><span class="strut" style="vertical-align:0em;"></span><span class="mord">2</span></span></span> 
			</td>
			<td style="border:1px solid #DDDDDD;text-align:center;">
				<span class="katex" style="font-size:1.21em;line-height:1.2;font-family:KaTeX_Main&#44;;"><span class="katex-mathml">9\sim 12</span><span class="katex-html"><span class="strut" style="vertical-align:0em;"></span><span class="mord">9</span><span class="mspace"></span><span class="mrel">∼</span><span class="mspace"></span><span class="strut" style="vertical-align:0em;"></span><span class="mord">1</span><span class="mord">2</span></span></span> 
			</td>
			<td style="border:1px solid #DDDDDD;text-align:center;">
				<span class="katex" style="font-size:1.21em;line-height:1.2;font-family:KaTeX_Main&#44;;"><span class="katex-mathml">40</span><span class="katex-html"><span class="strut" style="vertical-align:0em;"></span><span class="mord">4</span><span class="mord">0</span></span></span> 
			</td>
			<td style="border:1px solid #DDDDDD;text-align:center;">
				<span class="katex" style="font-size:1.21em;line-height:1.2;font-family:KaTeX_Main&#44;;"><span class="katex-mathml">2</span><span class="katex-html"><span class="strut" style="vertical-align:0em;"></span><span class="mord">2</span></span></span> 
			</td>
			<td style="border:1px solid #DDDDDD;text-align:center;">
				<span class="katex" style="font-size:1.21em;line-height:1.2;font-family:KaTeX_Main&#44;;"><span class="katex-mathml">10^3</span><span class="katex-html"><span class="strut" style="vertical-align:0em;"></span><span class="mord">1</span><span class="mord"><span class="mord">0</span><span class="msupsub"><span class="vlist-t"><span class="vlist-r"><span class="vlist" style="vertical-align:bottom;"><span><span class="pstrut"></span><span class="sizing reset-size6 size3 mtight" style="font-size:0.7em;"><span class="mord mtight">3</span></span></span></span></span></span></span></span></span></span> 
			</td>
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			<td style="border:1px solid #DDDDDD;text-align:center;">
				<span class="katex" style="font-size:1.21em;line-height:1.2;font-family:KaTeX_Main&#44;;"><span class="katex-mathml">4</span><span class="katex-html"><span class="strut" style="vertical-align:0em;"></span><span class="mord">4</span></span></span> 
			</td>
			<td style="border:1px solid #DDDDDD;text-align:center;">
				<span class="katex" style="font-size:1.21em;line-height:1.2;font-family:KaTeX_Main&#44;;"><span class="katex-mathml">5</span><span class="katex-html"><span class="strut" style="vertical-align:0em;"></span><span class="mord">5</span></span></span> 
			</td>
			<td style="border:1px solid #DDDDDD;text-align:center;">
				<span class="katex" style="font-size:1.21em;line-height:1.2;font-family:KaTeX_Main&#44;;"><span class="katex-mathml">3</span><span class="katex-html"><span class="strut" style="vertical-align:0em;"></span><span class="mord">3</span></span></span> 
			</td>
			<td style="border:1px solid #DDDDDD;text-align:center;">
				<span class="katex" style="font-size:1.21em;line-height:1.2;font-family:KaTeX_Main&#44;;"><span class="katex-mathml">2</span><span class="katex-html"><span class="strut" style="vertical-align:0em;"></span><span class="mord">2</span></span></span> 
			</td>
			<td style="border:1px solid #DDDDDD;text-align:center;">
				<span class="katex" style="font-size:1.21em;line-height:1.2;font-family:KaTeX_Main&#44;;"><span class="katex-mathml">13\sim 16</span><span class="katex-html"><span class="strut" style="vertical-align:0em;"></span><span class="mord">1</span><span class="mord">3</span><span class="mspace"></span><span class="mrel">∼</span><span class="mspace"></span><span class="strut" style="vertical-align:0em;"></span><span class="mord">1</span><span class="mord">6</span></span></span> 
			</td>
			<td style="border:1px solid #DDDDDD;text-align:center;">
				<span class="katex" style="font-size:1.21em;line-height:1.2;font-family:KaTeX_Main&#44;;"><span class="katex-mathml">40</span><span class="katex-html"><span class="strut" style="vertical-align:0em;"></span><span class="mord">4</span><span class="mord">0</span></span></span> 
			</td>
			<td style="border:1px solid #DDDDDD;text-align:center;">
				<span class="katex" style="font-size:1.21em;line-height:1.2;font-family:KaTeX_Main&#44;;"><span class="katex-mathml">3</span><span class="katex-html"><span class="strut" style="vertical-align:0em;"></span><span class="mord">3</span></span></span> 
			</td>
			<td style="border:1px solid #DDDDDD;text-align:center;">
				<span class="katex" style="font-size:1.21em;line-height:1.2;font-family:KaTeX_Main&#44;;"><span class="katex-mathml">10^3</span><span class="katex-html"><span class="strut" style="vertical-align:0em;"></span><span class="mord">1</span><span class="mord"><span class="mord">0</span><span class="msupsub"><span class="vlist-t"><span class="vlist-r"><span class="vlist" style="vertical-align:bottom;"><span><span class="pstrut"></span><span class="sizing reset-size6 size3 mtight" style="font-size:0.7em;"><span class="mord mtight">3</span></span></span></span></span></span></span></span></span></span> 
			</td>
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			<td style="border:1px solid #DDDDDD;text-align:center;">
				<span class="katex" style="font-size:1.21em;line-height:1.2;font-family:KaTeX_Main&#44;;"><span class="katex-mathml">5</span><span class="katex-html"><span class="strut" style="vertical-align:0em;"></span><span class="mord">5</span></span></span> 
			</td>
			<td style="border:1px solid #DDDDDD;text-align:center;">
				<span class="katex" style="font-size:1.21em;line-height:1.2;font-family:KaTeX_Main&#44;;"><span class="katex-mathml">10</span><span class="katex-html"><span class="strut" style="vertical-align:0em;"></span><span class="mord">1</span><span class="mord">0</span></span></span> 
			</td>
			<td style="border:1px solid #DDDDDD;text-align:center;">
				<span class="katex" style="font-size:1.21em;line-height:1.2;font-family:KaTeX_Main&#44;;"><span class="katex-mathml">2</span><span class="katex-html"><span class="strut" style="vertical-align:0em;"></span><span class="mord">2</span></span></span> 
			</td>
			<td style="border:1px solid #DDDDDD;text-align:center;">
				<span class="katex" style="font-size:1.21em;line-height:1.2;font-family:KaTeX_Main&#44;;"><span class="katex-mathml">2</span><span class="katex-html"><span class="strut" style="vertical-align:0em;"></span><span class="mord">2</span></span></span> 
			</td>
			<td style="border:1px solid #DDDDDD;text-align:center;">
				<span class="katex" style="font-size:1.21em;line-height:1.2;font-family:KaTeX_Main&#44;;"><span class="katex-mathml">17\sim 21</span><span class="katex-html"><span class="strut" style="vertical-align:0em;"></span><span class="mord">1</span><span class="mord">7</span><span class="mspace"></span><span class="mrel">∼</span><span class="mspace"></span><span class="strut" style="vertical-align:0em;"></span><span class="mord">2</span><span class="mord">1</span></span></span> 
			</td>
			<td style="border:1px solid #DDDDDD;text-align:center;">
				<span class="katex" style="font-size:1.21em;line-height:1.2;font-family:KaTeX_Main&#44;;"><span class="katex-mathml">40</span><span class="katex-html"><span class="strut" style="vertical-align:0em;"></span><span class="mord">4</span><span class="mord">0</span></span></span> 
			</td>
			<td style="border:1px solid #DDDDDD;text-align:center;">
				<span class="katex" style="font-size:1.21em;line-height:1.2;font-family:KaTeX_Main&#44;;"><span class="katex-mathml">500</span><span class="katex-html"><span class="strut" style="vertical-align:0em;"></span><span class="mord">5</span><span class="mord">0</span><span class="mord">0</span></span></span> 
			</td>
			<td style="border:1px solid #DDDDDD;text-align:center;">
				<span class="katex" style="font-size:1.21em;line-height:1.2;font-family:KaTeX_Main&#44;;"><span class="katex-mathml">10^3</span><span class="katex-html"><span class="strut" style="vertical-align:0em;"></span><span class="mord">1</span><span class="mord"><span class="mord">0</span><span class="msupsub"><span class="vlist-t"><span class="vlist-r"><span class="vlist" style="vertical-align:bottom;"><span><span class="pstrut"></span><span class="sizing reset-size6 size3 mtight" style="font-size:0.7em;"><span class="mord mtight">3</span></span></span></span></span></span></span></span></span></span> 
			</td>
		</tr>
		<tr>
			<td style="border:1px solid #DDDDDD;text-align:center;">
				<span class="katex" style="font-size:1.21em;line-height:1.2;font-family:KaTeX_Main&#44;;"><span class="katex-mathml">6</span><span class="katex-html"><span class="strut" style="vertical-align:0em;"></span><span class="mord">6</span></span></span> 
			</td>
			<td style="border:1px solid #DDDDDD;text-align:center;">
				<span class="katex" style="font-size:1.21em;line-height:1.2;font-family:KaTeX_Main&#44;;"><span class="katex-mathml">10</span><span class="katex-html"><span class="strut" style="vertical-align:0em;"></span><span class="mord">1</span><span class="mord">0</span></span></span> 
			</td>
			<td style="border:1px solid #DDDDDD;text-align:center;">
				<span class="katex" style="font-size:1.21em;line-height:1.2;font-family:KaTeX_Main&#44;;"><span class="katex-mathml">3</span><span class="katex-html"><span class="strut" style="vertical-align:0em;"></span><span class="mord">3</span></span></span> 
			</td>
			<td style="border:1px solid #DDDDDD;text-align:center;">
				<span class="katex" style="font-size:1.21em;line-height:1.2;font-family:KaTeX_Main&#44;;"><span class="katex-mathml">2</span><span class="katex-html"><span class="strut" style="vertical-align:0em;"></span><span class="mord">2</span></span></span> 
			</td>
			<td style="border:1px solid #DDDDDD;text-align:center;">
				<span class="katex" style="font-size:1.21em;line-height:1.2;font-family:KaTeX_Main&#44;;"><span class="katex-mathml">22\sim 25</span><span class="katex-html"><span class="strut" style="vertical-align:0em;"></span><span class="mord">2</span><span class="mord">2</span><span class="mspace"></span><span class="mrel">∼</span><span class="mspace"></span><span class="strut" style="vertical-align:0em;"></span><span class="mord">2</span><span class="mord">5</span></span></span> 
			</td>
			<td style="border:1px solid #DDDDDD;text-align:center;">
				<span class="katex" style="font-size:1.21em;line-height:1.2;font-family:KaTeX_Main&#44;;"><span class="katex-mathml">100</span><span class="katex-html"><span class="strut" style="vertical-align:0em;"></span><span class="mord">1</span><span class="mord">0</span><span class="mord">0</span></span></span> 
			</td>
			<td style="border:1px solid #DDDDDD;text-align:center;">
				<span class="katex" style="font-size:1.21em;line-height:1.2;font-family:KaTeX_Main&#44;;"><span class="katex-mathml">2\times 10^3</span><span class="katex-html"><span class="strut" style="vertical-align:-0.08333em;"></span><span class="mord">2</span><span class="mspace"></span><span class="mbin">×</span><span class="mspace"></span><span class="strut" style="vertical-align:0em;"></span><span class="mord">1</span><span class="mord"><span class="mord">0</span><span class="msupsub"><span class="vlist-t"><span class="vlist-r"><span class="vlist" style="vertical-align:bottom;"><span><span class="pstrut"></span><span class="sizing reset-size6 size3 mtight" style="font-size:0.7em;"><span class="mord mtight">3</span></span></span></span></span></span></span></span></span></span> 
			</td>
			<td style="border:1px solid #DDDDDD;text-align:center;">
				<span class="katex" style="font-size:1.21em;line-height:1.2;font-family:KaTeX_Main&#44;;"><span class="katex-mathml">998244353</span><span class="katex-html"><span class="strut" style="vertical-align:0em;"></span><span class="mord">9</span><span class="mord">9</span><span class="mord">8</span><span class="mord">2</span><span class="mord">4</span><span class="mord">4</span><span class="mord">3</span><span class="mord">5</span><span class="mord">3</span></span></span> 
			</td>
		</tr>
	</tbody>
</table>

对于所有测试点，保证&nbsp;<span class="katex" style="font-size:1.21em;line-height:1.2;font-family:KaTeX_Main&#44;;"><span class="katex-mathml">1 \leq n \leq 100</span><span class="katex-html"><span class="strut" style="vertical-align:-0.13597em;"></span><span class="mord">1</span><span class="mspace"></span><span class="mrel">≤</span><span class="mspace"></span><span class="strut" style="vertical-align:-0.13597em;"></span><span class="mord mathnormal" style="font-family:KaTeX_Math;font-style:italic;">n</span><span class="mspace"></span><span class="mrel">≤</span><span class="mspace"></span><span class="strut" style="vertical-align:0em;"></span><span class="mord">1</span><span class="mord">0</span><span class="mord">0</span></span></span>，<span class="katex" style="font-size:1.21em;line-height:1.2;font-family:KaTeX_Main&#44;;"><span class="katex-mathml">1 \leq m \leq 2000</span><span class="katex-html"><span class="strut" style="vertical-align:-0.13597em;"></span><span class="mord">1</span><span class="mspace"></span><span class="mrel">≤</span><span class="mspace"></span><span class="strut" style="vertical-align:-0.13597em;"></span><span class="mord mathnormal" style="font-family:KaTeX_Math;font-style:italic;">m</span><span class="mspace"></span><span class="mrel">≤</span><span class="mspace"></span><span class="strut" style="vertical-align:0em;"></span><span class="mord">2</span><span class="mord">0</span><span class="mord">0</span><span class="mord">0</span></span></span>，<span class="katex" style="font-size:1.21em;line-height:1.2;font-family:KaTeX_Main&#44;;"><span class="katex-mathml">0 \leq a_{i&#44;j} \lt 998&#44;244&#44;353</span><span class="katex-html"><span class="strut" style="vertical-align:-0.13597em;"></span><span class="mord">0</span><span class="mspace"></span><span class="mrel">≤</span><span class="mspace"></span><span class="strut" style="vertical-align:-0.286108em;"></span><span class="mord"><span class="mord mathnormal" style="font-family:KaTeX_Math;font-style:italic;">a</span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="vertical-align:bottom;"><span><span class="pstrut"></span><span class="sizing reset-size6 size3 mtight" style="font-size:0.7em;"><span class="mord mtight"><span class="mord mathnormal mtight" style="font-family:KaTeX_Math;font-style:italic;">i</span><span class="mpunct mtight">&#44;</span><span class="mord mathnormal mtight" style="font-family:KaTeX_Math;font-style:italic;">j</span></span></span></span></span><span class="vlist-s" style="vertical-align:bottom;font-size:1px;"></span></span><span class="vlist-r"><span class="vlist" style="vertical-align:bottom;"><span></span></span></span></span></span></span><span class="mspace"></span><span class="mrel">&lt;</span><span class="mspace"></span><span class="strut" style="vertical-align:-0.19444em;"></span><span class="mord">9</span><span class="mord">9</span><span class="mord">8</span><span class="mpunct">&#44;</span><span class="mspace"></span><span class="mord">2</span><span class="mord">4</span><span class="mord">4</span><span class="mpunct">&#44;</span><span class="mspace"></span><span class="mord">3</span><span class="mord">5</span><span class="mord">3</span></span></span>。 <br />

来源

noip2019