11. 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.

 

class Solution(object):
    def maxArea(self, height):
        """
        :type height: List[int]
        :rtype: int
        """
        fir = 0
        last = len(height)-1
        max_area = 0
        while fir<last:
            max_area=max(max_area,min(height[fir],height[last])*(last-fir))
            if height[fir]>height[last]:
                last=last-1
            else:
                fir=fir+1
        return max_area