BZOJ-1898: [Zjoi2004]Swamp 沼泽鳄鱼(

作者: AmadeusChan | 来源:发表于2018-10-17 12:19 被阅读0次

    题目:http://www.lydsy.com/JudgeOnline/problem.php?id=1898

    矩阵快速幂随便搞一搞就行了。

    代码:

    #include <cstdio>
    #include <algorithm>
    #include <cstring>
     
    using namespace std ;
     
    #define mod 10000
    #define MAXN 55
     
    struct mat {
         
        int n , m , a[ MAXN ][ MAXN ] ;
         
        mat(  ) {
            memset( a , 0 , sizeof( a ) ) ;
            n = m = 0 ;
        }
         
        void Init_I( int _n ) {
            n = m = _n ;
            for ( int i = 0 ; i < n ; ++ i ) a[ i ][ i ] = 1 ;
        }
         
    } Map[ 12 ] , temp , ans ;
     
    mat operator * ( const mat &x , const mat &y ) {
        mat ret ; 
        ret.n = x.n , ret.m = y.m ;
        for ( int i = 0 ; i < ret.n ; ++ i ) {
            for ( int j = 0 ; j < ret.m ; ++ j ) {
                for ( int k = 0 ; k < x.m ; ++ k ) {
                    ( ret.a[ i ][ j ] += x.a[ i ][ k ] * y.a[ k ][ j ] ) %= mod ;
                }
            }
        }
        return ret ;
    }
     
    mat Pow( const mat &x , int cnt ) {
        mat rec , ret = x ;
        rec.Init_I( x.n ) ;
        for ( ; cnt ; cnt >>= 1 ) {
            if ( cnt & 1 ) rec = rec * ret ;
            ret = ret * ret ;
        }
        return rec ;
    }
     
    int n , m , S , T , k , nf , w[ 4 ] ;
     
    int main(  ) {
        scanf( "%d%d%d%d%d" , &n , &m , &S , &T , &k ) ;
        Map[ 0 ].n = Map[ 0 ].m = n ;
        while ( m -- ) {
            int s , t ; scanf( "%d%d" , &s , &t ) ;
            Map[ 0 ].a[ s ][ t ] = Map[ 0 ].a[ t ][ s ] = 1 ;
        }
        for ( int i = 1 ; i < 12 ; ++ i ) Map[ i ] = Map[ i - 1 ] ;
        scanf( "%d" , &nf ) ;
        while ( nf -- ) {
            int t ; scanf( "%d" , &t ) ;
            for ( int i = 0 ; i < t ; ++ i ) scanf( "%d" , &w[ i ] ) ;
            for ( int i = 0 ; i < 12 ; ++ i ) {
                int x = w[ i % t ] ;
                if ( i ) {
                    for ( int j = 0 ; j < n ; ++ j ) Map[ i - 1 ].a[ j ][ x ] = 0 ;
                }
                for ( int j = 0 ; j < n ; ++ j ) Map[ i ].a[ x ][ j ] = 0 ;
            }
        }
        temp.Init_I( n ) ;
        ans.Init_I( n ) ;
        for ( int i = 0 ; i < 12 ; ++ i ) temp = temp * Map[ i ] ;
        ans = ans * Pow( temp , k / 12 ) ;
        for ( int i = 0 ; i < k % 12 ; ++ i ) ans = ans * Map[ i ] ;
        printf( "%d\n" , ans.a[ S ][ T ] ) ;
        return 0 ; 
    }
    

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