1
0
mirror of https://gitee.com/coder-xiaomo/leetcode-problemset synced 2025-01-10 18:48:13 +08:00
Code Issues Projects Releases Wiki Activity GitHub Gitee
leetcode-problemset/leetcode-cn/problem (English)/对角线最长的矩形的面积(English) [maximum-area-of-longest-diagonal-rectangle].html
2024-01-09 10:57:06 +08:00

35 lines
1.7 KiB
HTML

<p>You are given a 2D <strong>0-indexed </strong>integer array <code>dimensions</code>.</p>
<p>For all indices <code>i</code>, <code>0 &lt;= i &lt; dimensions.length</code>, <code>dimensions[i][0]</code> represents the length and <code>dimensions[i][1]</code> represents the width of the rectangle<span style="font-size: 13.3333px;"> <code>i</code></span>.</p>
<p>Return <em>the <strong>area</strong> of the rectangle having the <strong>longest</strong> diagonal. If there are multiple rectangles with the longest diagonal, return the area of the rectangle having the <strong>maximum</strong> area.</em></p>
<p>&nbsp;</p>
<p><strong class="example">Example 1:</strong></p>
<pre>
<strong>Input:</strong> dimensions = [[9,3],[8,6]]
<strong>Output:</strong> 48
<strong>Explanation:</strong>
For index = 0, length = 9 and width = 3. Diagonal length = sqrt(9 * 9 + 3 * 3) = sqrt(90) &asymp;<!-- notionvc: 882cf44c-3b17-428e-9c65-9940810216f1 --> 9.487.
For index = 1, length = 8 and width = 6. Diagonal length = sqrt(8 * 8 + 6 * 6) = sqrt(100) = 10.
So, the rectangle at index 1 has a greater diagonal length therefore we return area = 8 * 6 = 48.
</pre>
<p><strong class="example">Example 2:</strong></p>
<pre>
<strong>Input:</strong> dimensions = [[3,4],[4,3]]
<strong>Output:</strong> 12
<strong>Explanation:</strong> Length of diagonal is the same for both which is 5, so maximum area = 12.
</pre>
<p>&nbsp;</p>
<p><strong>Constraints:</strong></p>
<ul>
<li><code>1 &lt;= dimensions.length &lt;= 100</code></li>
<li><code><font face="monospace">dimensions[i].length == 2</font></code></li>
<li><code><font face="monospace">1 &lt;= dimensions[i][0], dimensions[i][1] &lt;= 100</font></code></li>
</ul>