leetcode Container With Most Water

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.

题意：给定一组非负整数a1~an，代表二位坐标系中的点（i， ai），可以画出从（i，ai）到（i，0）的n条线，找到两条线，使其和x轴围成的木桶容积最大。

思路：从容器两端同时开始找，计算对应的容积，找出最大的，时间复杂度O(n)。

class Solution {
public:
int maxArea(vector<int>& height) {
int water = 0;
int i = 0, j = height.size() - 1;
while (i < j) {
int h = min(height[i], height[j]);
water = max(water, (j - i) * h);
//找到下一个比当前容积大的木桶
while (height[i] <= h && i < j) ++i;
while (height[j] <= h && i < j) --j;
}
return water;
}
};