题目描述:
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.
思路:从左到右依次扫描各列,找出当前列左边的最大高度hli和右边的最大高度hri。如果hli>A[i]并且hri>A[i],则当前列所能盛水的体积为min(hli,hri)- A[i]。
代码:
int Solution::trap(int A[],int n)
{
int i,j;
int count = 0;
int * left_height_array = (int *)malloc(sizeof(int)*n);
int left_height_max = 0;
for(i = 0;i < n;i++)
{
left_height_array[i] = left_height_max;
if(A[i] > left_height_max)
left_height_max = A[i];
}
int * right_height_array = (int*)malloc(sizeof(int)*n);
int right_height_max = 0;
for(i = n-1;i >=0;i--)
{
right_height_array[i] = right_height_max;
if(A[i] > right_height_max)
right_height_max = A[i];
}
for(i = 1;i < n-1;i++)
{
int left_height = left_height_array[i];
int right_height = right_height_array[i];
if(left_height > A[i] && right_height > A[i])
{
if(left_height > right_height)
count = count + (right_height - A[i]);
else
count = count + (left_height - A[i]);
}
}
return count;
}
原文地址:http://blog.csdn.net/yao_wust/article/details/40858101