{ "data": { "question": { "questionId": "11", "questionFrontendId": "11", "categoryTitle": "Algorithms", "boundTopicId": 1069, "title": "Container With Most Water", "titleSlug": "container-with-most-water", "content": "
You are given an integer array height
of length n
. There are n
vertical lines drawn such that the two endpoints of the ith
line are (i, 0)
and (i, height[i])
.
Find two lines that together with the x-axis form a container, such that the container contains the most water.
\n\nReturn the maximum amount of water a container can store.
\n\nNotice that you may not slant the container.
\n\n\n
Example 1:
\n\n\nInput: height = [1,8,6,2,5,4,8,3,7]\nOutput: 49\nExplanation: The above vertical lines are represented by array [1,8,6,2,5,4,8,3,7]. In this case, the max area of water (blue section) the container can contain is 49.\n\n\n
Example 2:
\n\n\nInput: height = [1,1]\nOutput: 1\n\n\n
\n
Constraints:
\n\nn == height.length
2 <= n <= 105
0 <= height[i] <= 104
给定一个长度为 n
的整数数组 height
。有 n
条垂线,第 i
条线的两个端点是 (i, 0)
和 (i, height[i])
。
找出其中的两条线,使得它们与 x
轴共同构成的容器可以容纳最多的水。
返回容器可以储存的最大水量。
\n\n说明:你不能倾斜容器。
\n\n\n\n
示例 1:
\n\n\n\n\n输入:[1,8,6,2,5,4,8,3,7]\n输出:49 \n解释:图中垂直线代表输入数组 [1,8,6,2,5,4,8,3,7]。在此情况下,容器能够容纳水(表示为蓝色部分)的最大值为 49。\n\n
示例 2:
\n\n\n输入:height = [1,1]\n输出:1\n\n\n
\n\n
提示:
\n\nn == height.length
2 <= n <= 105
0 <= height[i] <= 104
\r\nArea = length of shorter vertical line * distance between lines\r\n\r\n\r\nWe can definitely get the maximum width container as the outermost lines have the maximum distance between them. However, this container might not be the maximum in size as one of the vertical lines of this container could be really short.\r\n\r\n
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