【数组】Container With Most Water

题目:

Given n non-negative integers a1a2, ..., an, where each represents a point at coordinate (iai). n vertical lines are drawn such that the two endpoints of line i is at (iai) 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.

思路:

两个下标变量,分别表示数组的头部和尾部,逐步向中心推移。这个推移的过程是这样的:

假设现在是初始状态,下标变量i=0表示头部,下标变量j=height.size(),表示尾部,那么显然此时的容器的装水量取决一个矩形的大小,这个矩形的长度为j-i,高度为height[i]与height[j]的最小值(假设height[i]小于height[j])。接下来考虑是把头部下标i向右移动还是把尾部下标j向左移动呢?如果移动尾部变量j,那么就算height[j]变高了,装水量依然没有变得更大,因为短板在头部变量i。所以应该移动头部变量i。也就是说,每次移动头部变量i和尾部变量j中的一个,哪个变量的高度小,就把这个变量向中心移动。计算此时的装水量并且和最大装水量的当前值做比较。

/**
 * @param {number[]} height
 * @return {number}
 */
var maxArea = function(height) {
    var res=0,l=0,r=height.length-1;
    while(l<r){
        res=Math.max((r-l)*Math.min(height[l],height[r]),res);
        if(height[l]>height[r]){
            r--;
        }else{
            l++;
        }
    }

    return res;
};
时间: 2025-01-04 17:22:18

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