Codeforces--629A--Far Relative’s Birthday Cake(暴力模拟)

本文介绍了一个有趣的编程问题,即如何计算放置在生日蛋糕上的巧克力对数,这些巧克力位于相同的行或列中,以此来衡量庆祝活动的幸福指数。文章通过具体的样例输入输出展示了问题的解决方法。

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Time Limit: 1000MS Memory Limit: 262144KB 64bit IO Format: %I64d & %I64u

Status

Description

Door's family is going celebrate Famil Doors's birthday party. They love Famil Door so they are planning to make his birthday cake weird!

The cake is a n × n square consisting of equal squares with side length 1. Each square is either empty or consists of a single chocolate. They bought the cake and randomly started to put the chocolates on the cake. The value of Famil Door's happiness will be equal to the number of pairs of cells with chocolates that are in the same row or in the same column of the cake. Famil Doors's family is wondering what is the amount of happiness of Famil going to be?

Please, note that any pair can be counted no more than once, as two different cells can't share both the same row and the same column.

Input

In the first line of the input, you are given a single integer n (1 ≤ n ≤ 100) — the length of the side of the cake.

Then follow n lines, each containing n characters. Empty cells are denoted with '.', while cells that contain chocolates are denoted by 'C'.

Output

Print the value of Famil Door's happiness, i.e. the number of pairs of chocolate pieces that share the same row or the same column.

Sample Input

Input
3
.CC
C..
C.C
Output
4
Input
4
CC..
C..C
.CC.
.CC.
Output
9

Sample Output

Hint

If we number rows from top to bottom and columns from left to right, then, pieces that share the same row in the first sample are:

  1. (1, 2) and (1, 3)
  2. (3, 1) and (3, 3)
Pieces that share the same column are:
  1. (2, 1) and (3, 1)
  2. (1, 3) and (3, 3)
在同一行或者同一列的‘ C '的对数
#include<cstdio>
#include<cstring>
#include<algorithm>
using namespace std;
struct node
{
	int x,y;
}p[100100];
char map[110][110];
int main()
{
	int cnt,n;
	while(scanf("%d",&n)!=EOF)
	{
		cnt=0;
		memset(map,0,sizeof(map));
		for(int i=0;i<n;i++)
		{
			scanf("%s",map[i]);
			for(int j=0;j<n;j++)
			{
				if(map[i][j]=='C')
				{
					p[cnt].x=i;
					p[cnt++].y=j;
				}
			}
		}
		int ans=0;
		for(int i=0;i<cnt;i++)
		{
			for(int j=0;j<cnt;j++)
			{
				if(i==j) continue;
				if(p[i].x==p[j].x||p[i].y==p[j].y)
				ans++;
			}
		}
		printf("%d\n",ans/2);
	}
	return 0;
}


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