Trapping Rain Water

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

For example,
Given [0,1,0,2,1,0,1,3,2,1,2,1], return 6.


The above elevation map 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. Thanks Marcos for contributing this image!

public class Solution {
    public int trap(int[] A) {
		// Start typing your Java solution below
		// DO NOT write main() function
		int len = A.length;
		if(len < 3)
			return 0;
		int left = 0, right = len - 1, res = 0;
		int wall;
		while(left < right){
			if(A[left] <= A[right]){
				wall = left + 1;
				while(A[wall] <= A[left] && wall < right){
					res += A[left] - A[wall];
					wall++;
				}
				left = wall;
			}
			else{ // A[left] > A[right]
				wall = right - 1;
				while(A[wall] <= A[right] && wall > left){
					res += A[right] - A[wall];
					wall--;
				}
				right = wall;
			}
		}
		return res;
	}
}

每次移动left和right里面小的向中间出发,才能保证另一侧有closure,移动wall注意不能超过另一侧

O(N)

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