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代码-洛谷P5807 Which Dreamed It

#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef double db;
#define x first
#define y second
#define bg begin()
#define ed end()
#define pb push_back
#define mp make_pair
#define sz(a) int((a).size())
#define R(i,n) for(int i(0);i<(n);++i)
#define L(i,n) for(int i((n)-1);~i;--i)
const int iinf=0x3f3f3f3f;
const ll linf=0x3f3f3f3f3f3f3f3f;

//Data
const int N=100,sN=200001;
int n,deg[N],dego[N];

//Math
const int mod=1e6+3;
void fmod(int &x){x+=x>>31&mod;}
int fac[sN];
void init(){
    fac[0]=1;
    R(i,sN-1) fac[i+1]=1ll*fac[i]*(i+1)%mod;
}

//Matrix
struct Matrix{
    int a[N][N];
    void clear(){R(i,n)R(j,n) a[i][j]=0;}
    int* operator[](int i){return a[i];}
    int det(int res=1,int j=-1){
        R(i,n)if(i){
            for(j=i;j<n;j++)if(a[j][i]) break;
            if(j==n) return 0;
            if(i!=j){
                for(int t=i;t<n;t++) swap(a[i][t],a[j][t]);
                res=-res;
            }
            for(int j=i+1;j<n;j++)while(a[j][i]){
                int d=a[j][i]/a[i][i];
                for(int t=i;t<n;t++) fmod(a[j][t]-=1ll*a[i][t]*d%mod);
                if(!a[j][i]) break;
                for(int t=i;t<n;t++) swap(a[i][t],a[j][t]);
                res=-res;
            }
        }
        fmod(res);
        R(i,n) i&&(res=1ll*res*a[i][i]%mod);
        return res;
    }
}e;

//Main
void Main(){
    cin>>n,e.clear();
    R(u,n) deg[u]=0;
    R(u,n){
        cin>>dego[u];
        R(t,dego[u]){
            int v; cin>>v,--v,deg[v]++;
            e[u][v]--;
        }
    }
    if(n==1) return void(cout<<1<<'\n');
    // cout<<"imal\n";
    int ns=deg[0];
    R(u,n){
        if(deg[u]!=dego[u]) return void(cout<<0<<'\n');
        if(deg[u]==0) return void(cout<<0<<'\n');
        e[u][u]+=deg[u],ns=1ll*ns*fac[deg[u]-1]%mod;
    }
    R(i,n)R(j,n) fmod(e[i][j]);
    ns=1ll*ns*e.det()%mod;
    cout<<ns<<'\n';
}
int main(){
    ios::sync_with_stdio(0);
    cin.tie(0),cout.tie(0);
    init();
    int T; cin>>T;
    while(T--) Main();
    return 0;
}
posted @ 2020-11-24 15:30  George1123  阅读(60)  评论(0编辑  收藏  举报