Codeforces Round #263 (Div. 2) proA

称号：

A. Appleman and Easy Task

time limit per test

1 second

memory limit per test

256 megabytes

input

standard input

output

standard output

Toastman came up with a very easy task. He gives it to Appleman, but Appleman doesn't know how to solve it. Can you help him?

Given a n × n checkerboard. Each cell of the board has either character 'x', or character 'o'. Is it true that each cell of the board has even number of adjacent cells with 'o'? Two cells of the board are adjacent if they share a side.

Input

The first line contains an integer n (1 ≤ n ≤ 100). Then n lines follow containing the description of the checkerboard. Each of them contains n characters (either 'x' or 'o') without spaces.

Output

Print "YES" or "NO" (without the quotes) depending on the answer to the problem.

Sample test(s)

input

3
xxo
xox
oxx

output

YES

input

4
xxxo
xoxo
oxox
xxxx

output

NO

题意分析：

推断每一个位置相邻位置为o的数字，假设全为偶数就yes，否者no。简单模拟题。

Orz

代码：

#include <cstdio>
#include <cmath>
#include <cstring>
#include <algorithm>
#include <string>
#include <iostream>


using namespace std;

char a[105][105];
int main()
{
    int n;
    char c;
    int flag;
    cin >> n;
    memset(a, 0, sizeof(a));
    for(int i=1; i<=n; i++)
        for(int j=1; j<=n; j++)
        {
            cin >> c;
            if (c == 'o')
                a[i][j] = 1;
        }
    flag = 1;

    for(int i=1; i<=n; i++)
        for(int j=1; j<=n; j++)
        {
            int cnt = 0;
            if (a[i-1][j])
                ++cnt;
            if (a[i+1][j])
                ++cnt;
            if (a[i][j-1])
                ++cnt;
            if (a[i][j+1])
                ++cnt;
            if (cnt & 1)
            {
                flag = false;
                break;
            }
        }
    if (flag)
        cout << "YES" << endl;
    else
        cout << "NO" << endl;

    return 0;
}

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