UVA: 11551 - Experienced Endeavour (Matrix expoentiation)

UVA: 11551 - Experienced Endeavour (Matrix expoentiation)

///==================================================///
///               !! HELLO WORLD !!                  ///
///           IT'S ME - BISHAL GAUTAM                ///
///         [ bsal.gautam16@gmail.com ]              ///
///==================================================///
#include<bits/stdc++.h>
#define X first
#define Y second
#define mpp make_pair
#define pll pair<ll,ll>
#define pii pair<int,int>
#define pb(x) push_back(x)
#define nl printf("\n")
#define Max(a,b) ((a>b)?a:b)
#define Min(a,b) ((a<b)?a:b)
#define SZ(x) (int)(x.size())
///---------------------
#define S(a) scanf("%d",&a)
#define P(a) printf("%d",a)
#define SL(a) scanf("%lld",&a)
#define S2(a,b) scanf("%d%d",&a,&b)
#define SL2(a,b) scanf("%lld%lld",&a,&b)
///------------------------------------
#define all(v) v.begin(),v.end()
#define CLR(a) memset(a,0,sizeof(a))
#define SET(a) memset(a,-1,sizeof(a))
#define fr(i,a,n) for(int i=a;i<=n;i++)
using namespace std;
typedef long long ll;

///  Digit     0123456789012345678 ///
#define MX     55
#define inf    2000000010
#define eps    1e-9
#define MD     1000
///===============================///

#define N 52
int ms;///Matrix Size GLOBAL: N
struct mat {
    ll m[N][N];
    mat() {};
    void Nullify( ) {
        for(int i=0; i<ms; i++) {
            for(int j=0; j<ms; j++) {
                m[i][j]=0;
            }
        }
    }
    void Unify( ) {
        for(int i=0; i<ms; i++) {
            for(int j=0; j<ms; j++) {
                m[i][j]=(i==j);
            }
        }
    }
    mat operator *(const mat &b )const {
        mat c;
        for(int i=0; i<ms; i++) {
            for(int j=0; j<ms; j++) {
                c.m[i][j]=0;
                for(int k=0; k<ms; k++) {
                    c.m[i][j]=( c.m[i][j]+ (m[i][k]*b.m[k][j])%MD )%MD;
                }
            }
        }
        return c;
    }
    mat Pow(int p) {
        mat ret;
        ret.Unify();
        mat B=(*this);
        for(; p; p>>=1) {
            if(p & 1)ret = (ret * B);
            B = (B * B);
        }
        return ret;
    }
    void Print( ) {
        cout<<endl;
        cout<< "Matix is:\n";
        cout<< "****************************\n";
        for(int i=0; i<ms; i++) {
            for(int j=0; j<ms; j++) {
                cout<<m[i][j]<< "  ";
            }
            cout<<endl;
        }
        cout<< "****************************\n";
        cout<<endl;
    }
} b;

int ar[MX+2];
int main() {
    int tc,cs=1,i,j,k,n,r,x;
    S(tc);
    while(tc--) {
        S2(n,r);
        for(i=0; i<n; i++) {
            S(ar[i]);
        }
        ms=n;
        b.Nullify();
        for(i=0; i<n; i++) {
            S(k);
            for(j=0; j<k; j++) {
                S(x);
                b.m[ i ][ x ]=1;
            }
        }

        mat ret=b.Pow(r);

        for(i=0; i<n; i++) {
            ll ans=0;
            for(j=0; j<n; j++) {
                ans=(ans+ (ret.m[i][j]*ar[j])%MD )%MD;
            }
            printf("%lld%c",ans,(i==n-1)?'\n':' ');
        }
    }
    return 0;
}