LeetCode 11:Container With Most Water

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 and n is at least 2.

给了一组非负整数a1~an,直角坐标系上,横坐标为n,纵坐标是an,将(n, 0)和(n, an)连接成线段,那么就一共有n条线,现在要求在这n条当中,找到其中两条,使得两条线和X轴构成的容器能够存放最多的水,容器不能倾斜,n最小为2;题目多看几遍才弄清楚需求

比如这里画一个草图

这一组非负整数,大小未知,假如此时看下横坐标为i和j,容器存放的水底部为j – i,由于是一个梯形,高一个是i,一个是j,这里显然i比j大,因此能存放水的容量就是(j – i) * Min(a[i], a[j]),最终要得到这个表达式取得最大值时候的i和j,但是给出的代码方法返回的是一个int的maxArea,那就是返回上面表达式的最大值

最简单直接两层循环遍历,但不清楚会不会超时

package com.maoxiaomeng;

/**
 * @author lihui
 * @date 2018/3/26 12:31
 */

class Solution {
    public int maxArea(int[] height) {
        int len = height.length;
        int maxWater = 0;
        
        for (int i = 0; i < len - 1; i++) {
            for (int j = i + 1; j <len; j++) {
                maxWater = Math.max(maxWater, 
                        (j - i) * Math.min(height[i], height[j]));
            }
        }
        return maxWater;
    }
}

果然超时了,这个testcase有点狠,足足15000个元素

Submission Result: Time Limit Exceeded More Details 

Last executed 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Notes

|||


 就像冒泡排序和快速排序一样,那就换种方式
package com.maoxiaomeng;

/**
 * @author lihui
 * @date 2018/3/26 12:31
 */

class Solution {
    public int maxArea(int[] height) {
        int maxWater = 0;

        int left = 0;
        int right = height.length - 1;

        while (left < right) {
            maxWater = Math.max(maxWater,
                    (right - left) * Math.min(height[left], height[right]));
            if (height[left] <= height[right]) {
                left++;
            } else {
                right--;
            }
        }
        return maxWater;
    }
}

哪边小,哪边指针就移动,找可能存在更大的

但是还是超时了,testcase依旧是1~15000这个数组

可是再提交一次,居然又通过了,感觉像是有BUG

一模一样的代码重新提交了一次,不明觉厉

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