0011._Container_With_Most_Water

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11. Container With Most Water

难度: Medium

刷题内容

原题连接

内容描述

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Given n non-negative integers a1, a2, ..., an , where each represents a point at coordinate (i, ai). n vertical lines are drawn such that the two endpoints of line i is at (i, ai) and (i, 0). Find two lines, which together with x-axis forms a container, such that the container contains the most water.

Note: You may not slant the container and n is at least 2.

img

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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.
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Example:

Input: [1,8,6,2,5,4,8,3,7]
Output: 49

解题方案

对撞指针
**- 时间复杂度: O(N)**- 空间复杂度: O(1)**

  • 从数组两层对向查找，直到找到最大乘积

代码：

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var maxArea = function (list) {
    let i = 0,j = list.length -1,result = 0;
    while(i < j){
        result = Math.max(result ,(j - i ) * Math.min(list[i],list[j]))
        if(list[i] < list[j]){
            i++;
        }else{
            j--;
        }
    }
    return result;
};

暴力解法
**- 时间复杂度: O(N²)**- 空间复杂度: O(1)**

代码

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var maxArea = function (list) {
    let result = 0;
    for(let i = 0,len = list.length; i<len; i++){
        for(let j = i+1; j<len; j++){
            let x = (j - i);
            let y = Math.min(list[i],list[j]);
            result = Math.max(result,x*y)
        }
    }
    return result;
};