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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.




The above vertical lines are represented by array [1,8,6,2,5,4,8,3,7]. In this case, the max area of water (blue section) the container can contain is 49.
Example:

Input: [1,8,6,2,5,4,8,3,7]
Output: 49

image

func maxArea(height []int) int {
    left, right := 0, len(height)-1

    var result int = 0

    for left < right {
        result = max(result, (right-left)*min(height[left], height[right]))
        if height[left] < height[right] {
            left++
        } else {
            right--
        }
    }

    return result

}

func min(x int, y int) int {
    if x < y {
        return x
    } else {
        return y
    }
}

func max(x int, y int) int {
    if x < y {
        return y
    } else {
        return x
    }
}