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11. Container With Most Water

11. Container With Most Water

作者: Jonddy | 来源:发表于2018-03-10 13:03 被阅读0次
    题目要求:

    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.

    解题思路:
    • 需要考虑到一点,一个vertical line比另外一个vertical line长的话,至少要1!!!所以移动较短的指针一次也是距离变化1,起码可以保证新面积不会变小。
    • 基本的细想都是遍历!!!
    • 示意图
    代码:
    class Solution(object):
        def maxAreatwo(self, height):
    
            max_area, i, j = 0, 0, len(height) - 1
            while i < j:
                max_area = max(max_area, min(height[i], height[j]) * (j - i))
                if height[i] < height[j]:
                    i += 1
                else:
                    j -= 1
            return max_area
    
    
    if __name__ == "__main__":
        height = [1, 2, 1, 4, 1, 5, 1]
        result = Solution().maxAreatwo(height)
        print(result)
    
    
    

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