USACO 2006 November Gold Corn Fields

題目描述:

Farmer John has purchased a lush new rectangular pasture composed of M by N 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.

輸入格式:

* Line 1: Two space-separated integers: M and N

* Lines 2..M+1: Line i+1 describes row i of the pasture with N space-separated integers indicating whether a square is fertile (1 for fertile, 0 for infertile)

輸出格式:

* Line 1: One integer: the number of ways that FJ can choose the squares modulo 100,000,000.

樣例輸入:

2 3
1 1 1
0 1 0

樣例輸出:

9

提示:

【樣例解釋】

Number the squares as follows:

1 2 3

4

There are four ways to plant only on one squares (1, 2, 3, or 4),

three ways to plant on two squares (13, 14, or 34), 1 way to plant

on three squares (134), and one way to plant on no squares. 4+3+1+1=9.

【數據規模】

1<=M<=12;1<=N<=12

時間限制:1000ms
空間限制:256MByte

又水了一道題，地圖記得反著存就好了。。。別忘了%%%kcz！！！

唉，最近kcz在玩pku的遊戲挑戰賽，我們這些小蒟蒻只有刷水題的份了,QAQ——

#include<bits/stdc++.h>
#define ll long long
#define kcz 100000000
using namespace std;

ll f[14][1 << 14] , m , n , maxn;
ll s [14][14];

ll check(ll now , ll down)
{
    if((down << 1) & down || (down >> 1) & down) return 0;
    for(ll i=0;i<m;i++)
    {
        ll ce = 1 << i;
        if(now & ce && down & ce) return 0;
    }
    return 1;
}

ll find(ll pos , ll val)
{
    for(ll i=0;i<m;i++)
    {
        ll ce = 1 << i;
        if(val & ce && s[pos][i]) return 0;
    }
    return 1;
}

int main(){
    cin >> n >> m;
    for(ll i=1;i<=n;i++)    
        for(ll j=0;j<m;j++)
        {
            
            scanf("%lld",&s[i][j]);
            s[i][j] ^= 1;
        }
    maxn = 1 << m;
    f[0][0] = 1;
    for(ll i=0;i<n;i++)
        for(ll j=0;j<maxn;j++)
        {
            if(f[i][j])
            {
                for(ll k=0;k<maxn;k++)
                    if(check(j , k) && find(i + 1 , k))
                        f[i + 1][k] += f[i][j];
            }
        }
    ll ans = 0;
    for(ll i=0;i<maxn;i++)
    {
        ans += f[n][i];
        ans %= kcz;
    }
    cout << ans;
}

USACO 2006 November Gold Corn Fields