Farmer John has purchased a lush new rectangular pasture composed of M by N (1 ≤ M ≤ 12; 1 ≤ N ≤ 12) square parcels. He wants to grow some yummy corn for the cows on a number of squares. Regrettably, some of the squares are infertile and can‘t be planted. Canny FJ knows that the cows dislike eating close to each other, so when choosing which squares to plant, he avoids choosing squares that are adjacent; no two chosen squares share an edge. He has not yet made the final choice as to which squares to plant.

Being a very open-minded man, Farmer John wants to consider all possible options for how to choose the squares for planting. He is so open-minded that he considers choosing no squares as a valid option! Please help Farmer John determine the number of ways he can choose the squares to plant.

1 2 3
  4  

#include<iostream>
#include<cstdio>
#include<cstring>
#include<cmath>
#include<string>
#include<algorithm>
#include<cstdlib>
#include<set>
#include<queue>
#include<stack>
#include<vector>
#include<map>

#define N 100010
#define Mod 100000000
#define lson l,mid,idx<<1
#define rson mid+1,r,idx<<1|1
#define lc idx<<1
#define rc idx<<1|1
const double EPS = 1e-11;
const double PI = acos ( -1.0 );
const double E = 2.718281828;
typedef long long ll;

const int INF = 1000010;

using namespace std;

int a[14], dp[14][1 << 12 + 1];
int cnt[1010];
int n, m;
int len;

bool ok ( int x )///判断同行是否有相邻的
{
    if ( x & ( x << 1 ) || ( x & ( x >> 1 ) ) ) return false;
    return true;
}

void build()
{
    len = 0;
    for ( int i = 0; i < ( 1 << m ); i++ )
    {
        if ( ok ( i ) )
        {
            cnt[len++] = i;
        }
    }
}


int main()
{
    while ( cin >> n >> m )
    {
        memset ( a, 0, sizeof a );
        int x;
        for ( int i = 0; i < n; i++ )
            for ( int j = 0; j < m; j++ )
            {
                cin >> x;
                if ( !x )
                    a[i] |= ( 1 << j );
            }
        memset ( dp, 0, sizeof dp );
        build();
        for ( int i = 0; i < len; i++ )
            if ( ! ( cnt[i]&a[0] ) )
                dp[0][i] = 1;
        for ( int i = 1; i < n; i++ )
        {
            for ( int j = 0; j < len; j++ )
            {
                if ( a[i] & cnt[j] )
                    continue;
                for ( int k = 0; k < len; k++ )
                {
                    if ( cnt[k]&cnt[j] || ( cnt[k]&a[i - 1] ) )
                        continue;
                    dp[i][j] += dp[i - 1][k];
                    dp[i][j] %= Mod;
                }
            }
        }
        int ans = 0;
        for ( int i = 0; i < len; i++ )
        {
            ans += dp[n - 1][i];
            ans %= Mod;
        }
        cout << ans << endl;
    }
    return 0;
}