（转）ZOJ 3687 The Review Plan I(禁为排列)

The Review Plan I

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Time Limit: 5 Seconds      Memory Limit: 65536 KB

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Michael takes the Discrete Mathematics course in this semester. Now it's close to the final exam, and he wants to take a complete review of this course.

The whole book he needs to review has N chapter, because of the knowledge system of the course is kinds of discrete as its name, and due to his perfectionism, he wants to arrange exactly N days to take his review, and one chapter by each day.

But at the same time, he has other courses to review and he also has to take time to hang out with his girlfriend or do some other things. So the free time he has in each day is different, he can not finish a big chapter in some particular busy days.

To make his perfect review plan, he needs you to help him.

Input

There are multiple test cases. For each test case:

The first line contains two integers N(1≤N≤50), M(0≤M≤25), N is the number of the days and also the number of the chapters in the book.

Then followed by M lines. Each line contains two integers D(1≤D≤N) and C(1≤C≤N), means at the D^th day he can not finish the review of the C^th chapter.

There is a blank line between every two cases.

Process to the end of input.

Output

One line for each case. The number of the different appropriate plans module 55566677.

Sample Input

4 3
1 2
4 3
2 1

6 5
1 1
2 6
3 5
4 4
3 4

Sample Output

11
284

转：http://blog.csdn.net/hlmfjkqaz/article/details/11037821
题意：有n个位置，m个东西，第C个东西不能放在第D个位置（禁位）。
收获：了解了：禁位排列和错位排列。http://wenku.baidu.com/link?url=H20jYGza0kMrRgxev671hFCSSR-YS0VxdSz9pu1u4cUPpCj-8C73lgnLQWZkApEvVBxuzVuk9t7ArwwvzC_dZMettS0CvBcvxv4GPybU2VS 

#include<iostream>
#include<cstdio>
#include<string.h>
#include<math.h>
using namespace std;
typedef long long LL;
#define MOD 55566677
#define N 55
LL f[N],res;
int n,m,vis1[N],vis2[N],a[N][N],ban[N][N];
void inint()
{
    f[0]=1;
    for(int i=1; i<N; i++)
        f[i]=(f[i-1]*i)%MOD;
}
void dfs(int i,int num)  //第i个禁位，选num个禁位
{
    if(i>m)
    {
        if(num&1) res=((res-f[n-num])%MOD+MOD)%MOD;
        else   res=(res+f[n-num])%MOD;
        return;
    }
    dfs(i+1,num);    //第i个禁位不选
    if((!vis1[a[i][0]])&&(!vis2[a[i][1]]))  //选第i个禁位
    {
        vis1[a[i][0]]=vis2[a[i][1]]=1;
        dfs(i+1,num+1);
        vis1[a[i][0]]=vis2[a[i][1]]=0;
    }
}

int main()
{
    int i,j,d,c;
    inint();
    while(~scanf("%d%d",&n,&m))
    {
        memset(vis1,0,sizeof(vis1));
        memset(vis2,0,sizeof(vis2));
        memset(ban,0,sizeof(ban));
        for(i=1; i<=m; i++)
        {
            scanf("%d%d",&a[i][0],&a[i][1]);
            if(ban[a[i][0]][a[i][1]])
            {
                i--;
                m--;
            }
            else ban[a[i][0]][a[i][1]]=1;
        }
        res=0;
        dfs(1,0);
        res=(res%MOD+MOD)%MOD;
        printf("%lld\n",res);
    }
    return 0 ;
}