题目:

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.

 
Example

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

题解:

  读题可知,区间[a,b]内容积由边缘最小值决定,Two pointer思想,遍历整个数组。每一次都是寻找两端最小值,然后开始遍历,遇到更大值后替换端值(不能盛水了)。

Solution 1 () (from here 九章算法)

class Solution {
public:
int trapRainWater(vector<int> &heights) {
int left = , right = heights.size() - ;
int res = ;
if (left >= right) {
return res;
}
int lheight = heights[left];
int rheight = heights[right];
while (left < right) {
if (lheight < rheight) {
++left;
if (lheight > heights[left]) {
res += lheight - heights[left];
} else {
lheight = heights[left];
}
} else {
--right;
if (rheight > heights[right]) {
res += rheight - heights[right];
} else {
rheight = heights[right];
}
}
}
return res;
}
};

  其他解法见此处

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