leetcode Container With Most Water

Container With Most Water

  Total Accepted: 2685  Total Submissions: 9008 My Submissions

 

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.

This problem is different from largest rectangle in histogram. It's just a line instead of a histogram. So there is no water. 

class Solution {
 public:
  int maxArea(vector<int> &height) {
    int size = height.size(), l = 0, r = size - 1, res = 0;
    if (size == 0)
      return 0;
    while (l < r) {
      if (res < (r - l)*min(height[l],height[r]))
        res = (r - l)*min(height[l],height[r]);
      if (height[l] <= height[r])
        ++l;
      else
        --r;
    } 
    return res;
  }
};