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Description
tab: English
<p>Given an array of integers <code>heights</code> representing the histogram's bar height where the width of each bar is <code>1</code>, return <em>the area of the largest rectangle in the histogram</em>.</p>
<p> </p>
<p><strong class="example">Example 1:</strong></p>
<img alt="" src="https://assets.leetcode.com/uploads/2021/01/04/histogram.jpg" style="width: 522px; height: 242px;" />
<pre>
<strong>Input:</strong> heights = [2,1,5,6,2,3]
<strong>Output:</strong> 10
<strong>Explanation:</strong> The above is a histogram where width of each bar is 1.
The largest rectangle is shown in the red area, which has an area = 10 units.
</pre>
<p><strong class="example">Example 2:</strong></p>
<img alt="" src="https://assets.leetcode.com/uploads/2021/01/04/histogram-1.jpg" style="width: 202px; height: 362px;" />
<pre>
<strong>Input:</strong> heights = [2,4]
<strong>Output:</strong> 4
</pre>
<p> </p>
<p><strong>Constraints:</strong></p>
<ul>
<li><code>1 <= heights.length <= 10<sup>5</sup></code></li>
<li><code>0 <= heights[i] <= 10<sup>4</sup></code></li>
</ul>
---
[submissions](https://leetcode.com/problems/largest-rectangle-in-histogram/submissions/) | [solutions](https://leetcode.com/problems/largest-rectangle-in-histogram/solutions/)
tab: 中文
<p>给定 <em>n</em> 个非负整数，用来表示柱状图中各个柱子的高度。每个柱子彼此相邻，且宽度为 1 。</p>
<p>求在该柱状图中，能够勾勒出来的矩形的最大面积。</p>
<p> </p>
<p><strong>示例 1:</strong></p>
<p><img src="https://assets.leetcode.com/uploads/2021/01/04/histogram.jpg" /></p>
<pre>
<strong>输入：</strong>heights = [2,1,5,6,2,3]
<strong>输出：</strong>10
<strong>解释：</strong>最大的矩形为图中红色区域，面积为 10
</pre>
<p><strong>示例 2：</strong></p>
<p><img src="https://assets.leetcode.com/uploads/2021/01/04/histogram-1.jpg" /></p>
<pre>
<strong>输入：</strong> heights = [2,4]
<b>输出：</b> 4</pre>
<p> </p>
<p><strong>提示：</strong></p>
<ul>
<li><code>1 <= heights.length <=10<sup>5</sup></code></li>
<li><code>0 <= heights[i] <= 10<sup>4</sup></code></li>
</ul>
---
[提交记录](https://leetcode.cn/problems/largest-rectangle-in-histogram/submissions/) | [题解](https://leetcode.cn/problems/largest-rectangle-in-histogram/solution/)
Solutions & Notes
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