Container With Most Water 容器最大水容量

描述

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.

分析

题目在时间复杂度O(n2)下一个两次循环遍历即可，但需要时间复杂度O(n)的下完成，通过分析，可以采用左右夹逼的方式来做，如果说左边数大于右边的数，则右边向左偏移一位，否则左边向右偏移一位

代码

package com.lilei.myes.es.pack1108;

public class ContainerWithMostWater {

	public static void main(String[] args) {
		System.out.println(cwmw(new int[]{3,2,3,4,5}));

	}
	static int cwmw(int[] array){
		int area = 0;

		int left = 0;

		while(array[left] <=0){
			left++;
		}

		int right = array.length-1;

		while(array[right] <=0){
			right--;
		}

		while(left < right){
			int height = array[left]>array[right]?array[right] : array[left];

			area = Math.max(area, height * (right - left));

			if (array[left] > array[right])
				array[left] = right--;
			else
				array[left] = left++;
		}

		return area;
	}

}