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leetcode-cn/problem (Chinese)/给 N x 3 网格图涂色的方案数 [number-of-ways-to-paint-n-3-grid].html Normal file
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<p>你有一个 <code>n x 3</code>&nbsp;的网格图 <code>grid</code>&nbsp;，你需要用 <strong>红，黄，绿</strong>&nbsp;三种颜色之一给每一个格子上色，且确保相邻格子颜色不同（也就是有相同水平边或者垂直边的格子颜色不同）。</p>
<p>给你网格图的行数 <code>n</code>&nbsp;。</p>
<p>请你返回给&nbsp;<code>grid</code>&nbsp;涂色的方案数。由于答案可能会非常大，请你返回答案对&nbsp;<code>10^9 + 7</code>&nbsp;取余的结果。</p>
<p>&nbsp;</p>
<p><strong>示例 1：</strong></p>
<pre><strong>输入：</strong>n = 1
<strong>输出：</strong>12
<strong>解释：</strong>总共有 12 种可行的方法：
<img alt="" src="https://assets.leetcode-cn.com/aliyun-lc-upload/uploads/2020/04/12/e1.png" style="height: 289px; width: 450px;">
</pre>
<p><strong>示例 2：</strong></p>
<pre><strong>输入：</strong>n = 2
<strong>输出：</strong>54
</pre>
<p><strong>示例 3：</strong></p>
<pre><strong>输入：</strong>n = 3
<strong>输出：</strong>246
</pre>
<p><strong>示例 4：</strong></p>
<pre><strong>输入：</strong>n = 7
<strong>输出：</strong>106494
</pre>
<p><strong>示例 5：</strong></p>
<pre><strong>输入：</strong>n = 5000
<strong>输出：</strong>30228214
</pre>
<p>&nbsp;</p>
<p><strong>提示：</strong></p>
<ul>
<li><code>n == grid.length</code></li>
<li><code>grid[i].length == 3</code></li>
<li><code>1 &lt;= n &lt;= 5000</code></li>
</ul>