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  • Home

    [LeetCode 42] Trapping Rain Water

    Published Dec 18, 2021 [  TwoPointers  ]

    Problem

    Given n non-negative integers representing an elevation map where the width of each bar is 1, compute how much water it can trap after raining.

    Example 1:

    Input: height = [0,1,0,2,1,0,1,3,2,1,2,1]
    Output: 6
    Explanation: The above elevation map (black section) is represented by array [0,1,0,2,1,0,1,3,2,1,2,1]. In this case, 6 units of rain water (blue section) are being trapped.
    

    Example 2:

    Input: height = [4,2,0,3,2,5]
    Output: 9
    

    Constraints:

    - n == height.length
    - 1 <= n <= 2 * 104
    - 0 <= height[i] <= 105
    

    Typescript

    function trap(height: number[]): number {
        let l = 0, r = height.length - 1
        
        // we store leftMax as first value and rightMax as last value
        let leftMax = height[l], rightMax = height[r]
        let res = 0;
        
        // we have to pointers moving to the mid
        while (l < r) {
            // decide which pointer to move
            if(leftMax < rightMax) {
                l++;
                // update max value
                leftMax = Math.max(leftMax, height[l])
                // update res
                res += leftMax - height[l];
            } else {
                r--;
                rightMax = Math.max(rightMax, height[r])
                res += rightMax - height[r]
            }
        }
        return res;
    };
    

    Reference