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leetcode-problemset/leetcode-cn/problem (Chinese)/出界的路径数 [out-of-boundary-paths].html

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2022-03-27 20:46:41 +08:00
<p>给你一个大小为 <code>m x n</code> 的网格和一个球。球的起始坐标为 <code>[startRow, startColumn]</code> 。你可以将球移到在四个方向上相邻的单元格内(可以穿过网格边界到达网格之外)。你 <strong>最多</strong> 可以移动 <code>maxMove</code> 次球。</p>
<p>给你五个整数 <code>m</code><code>n</code><code>maxMove</code><code>startRow</code> 以及 <code>startColumn</code> ,找出并返回可以将球移出边界的路径数量。因为答案可能非常大,返回对 <code>10<sup>9</sup> + 7</code> <strong>取余</strong> 后的结果。</p>
<p>&nbsp;</p>
<p><strong>示例 1</strong></p>
<img alt="" src="https://assets.leetcode.com/uploads/2021/04/28/out_of_boundary_paths_1.png" style="width: 500px; height: 296px;" />
<pre>
<strong>输入:</strong>m = 2, n = 2, maxMove = 2, startRow = 0, startColumn = 0
<strong>输出:</strong>6
</pre>
<p><strong>示例 2</strong></p>
<img alt="" src="https://assets.leetcode.com/uploads/2021/04/28/out_of_boundary_paths_2.png" style="width: 500px; height: 293px;" />
<pre>
<strong>输入:</strong>m = 1, n = 3, maxMove = 3, startRow = 0, startColumn = 1
<strong>输出:</strong>12
</pre>
<p>&nbsp;</p>
<p><strong>提示:</strong></p>
<ul>
<li><code>1 &lt;= m, n &lt;= 50</code></li>
<li><code>0 &lt;= maxMove &lt;= 50</code></li>
<li><code>0 &lt;= startRow &lt; m</code></li>
<li><code>0 &lt;= startColumn &lt; n</code></li>
</ul>