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Trapping Rain Water

时间:2016-07-14 10:02:58      阅读:288      评论:0      收藏:0      [点我收藏+]

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.

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Example

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

Analysis:

We first find out the max height in the array, then we start from the leftmost bar which is considered as the wall of the container. If there is a bar whose height is less than the wall, water will be saved above that bar. We do the same operation from rightmost to the highest bar position.

 1 public class Solution {
 2     /**
 3      * @param heights: an array of integers
 4      * @return: a integer
 5      */
 6     public int trapRainWater(int[] A) {
 7         if (A == null || A.length <= 2) return 0;  
 8         int maxIndex = 0;  
 9         for (int i = 1; i < A.length; i++) {  
10             if (A[i] > A[maxIndex]) {  
11                 maxIndex = i;  
12             }  
13         }  
14         int leftMax = A[0];  
15         int total = 0;  
16         for (int i = 1; i < maxIndex; i++) {  
17             if (A[i] < leftMax) {  
18                 total += (leftMax - A[i]);  
19             } else {  
20                 leftMax = A[i];  
21             }  
22         }  
23         int rightMax = A[A.length - 1];  
24         for (int i = A.length - 2; i > maxIndex; i--) {  
25             if (A[i] < rightMax) {  
26                 total += (rightMax - A[i]);  
27             } else {  
28                 rightMax = A[i];  
29             }  
30         }  
31         return total;  
32     }
33 }

 

 

Trapping Rain Water

原文:http://www.cnblogs.com/beiyeqingteng/p/5669106.html

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