leetcode-problemset/leetcode-cn/originData/container-with-most-water.json

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            "title": "Container With Most Water",
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            "content": "<p>You are given an integer array <code>height</code> of length <code>n</code>. There are <code>n</code> vertical lines drawn such that the two endpoints of the <code>i<sup>th</sup></code> line are <code>(i, 0)</code> and <code>(i, height[i])</code>.</p>\n\n<p>Find two lines that together with the x-axis form a container, such that the container contains the most water.</p>\n\n<p>Return <em>the maximum amount of water a container can store</em>.</p>\n\n<p><strong>Notice</strong> that you may not slant the container.</p>\n\n<p>&nbsp;</p>\n<p><strong>Example 1:</strong></p>\n<img alt=\"\" src=\"https://s3-lc-upload.s3.amazonaws.com/uploads/2018/07/17/question_11.jpg\" style=\"width: 600px; height: 287px;\" />\n<pre>\n<strong>Input:</strong> height = [1,8,6,2,5,4,8,3,7]\n<strong>Output:</strong> 49\n<strong>Explanation:</strong> 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</pre>\n\n<p><strong>Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> height = [1,1]\n<strong>Output:</strong> 1\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>n == height.length</code></li>\n\t<li><code>2 &lt;= n &lt;= 10<sup>5</sup></code></li>\n\t<li><code>0 &lt;= height[i] &lt;= 10<sup>4</sup></code></li>\n</ul>\n",
            "translatedTitle": "盛最多水的容器",
            "translatedContent": "<p>给定一个长度为 <code>n</code> 的整数数组&nbsp;<code>height</code>&nbsp;。有&nbsp;<code>n</code>&nbsp;条垂线，第 <code>i</code> 条线的两个端点是&nbsp;<code>(i, 0)</code>&nbsp;和&nbsp;<code>(i, height[i])</code>&nbsp;。</p>\n\n<p>找出其中的两条线，使得它们与&nbsp;<code>x</code>&nbsp;轴共同构成的容器可以容纳最多的水。</p>\n\n<p>返回容器可以储存的最大水量。</p>\n\n<p><strong>说明：</strong>你不能倾斜容器。</p>\n\n<p>&nbsp;</p>\n\n<p><strong>示例 1：</strong></p>\n\n<p><img alt=\"\" src=\"https://aliyun-lc-upload.oss-cn-hangzhou.aliyuncs.com/aliyun-lc-upload/uploads/2018/07/25/question_11.jpg\" /></p>\n\n<pre>\n<strong>输入：</strong>[1,8,6,2,5,4,8,3,7]\n<strong>输出：</strong>49 \n<strong>解释：</strong>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&nbsp;49。</pre>\n\n<p><strong>示例 2：</strong></p>\n\n<pre>\n<strong>输入：</strong>height = [1,1]\n<strong>输出：</strong>1\n</pre>\n\n<p>&nbsp;</p>\n\n<p><strong>提示：</strong></p>\n\n<ul>\n\t<li><code>n == height.length</code></li>\n\t<li><code>2 &lt;= n &lt;= 10<sup>5</sup></code></li>\n\t<li><code>0 &lt;= height[i] &lt;= 10<sup>4</sup></code></li>\n</ul>\n",
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                "The aim is to maximize the area formed between the vertical lines. The area of any container is calculated using the shorter line as length and the distance between the lines as the width of the rectangle.\r\n\r\n<pre>\r\nArea = length of shorter vertical line * distance between lines\r\n</pre>\r\n\r\nWe can definitely get the maximum width container as the outermost lines have the maximum distance between them. However, this container <b>might not be the maximum in size</b> as one of the vertical lines of this container could be really short.\r\n\r\n<br>\r\n<img src=\"https://assets.leetcode.com/uploads/2019/10/20/hint_water_trap_1.png\" width=\"500\"/>\r\n\r\n<br>\r\n<img src=\"https://assets.leetcode.com/uploads/2019/10/20/hint_water_trap_2.png\" width=\"500\"/>",
                "Start with the maximum width container and go to a shorter width container if there is a vertical line longer than the current containers shorter line. This way we are compromising on the width but we are looking forward to a longer length container."
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