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  • HDU 1757 A Simple Math Problem

    /*matrix a={ 
    {0,1,0,0,0,0,0,0,0,0}, 
    {0,0,1,0,0,0,0,0,0,0}, 
    {0,0,0,1,0,0,0,0,0,0}, 
    {0,0,0,0,1,0,0,0,0,0}, 
    {0,0,0,0,0,1,0,0,0,0}, 
    {0,0,0,0,0,0,1,0,0,0}, 
    {0,0,0,0,0,0,0,1,0,0},
    {0,0,0,0,0,0,0,0,1,0}, 
    {0,0,0,0,0,0,0,0,0,1},
    {1,1,1,1,1,1,1,1,1,1}, 
    }; */
    
    #include <cstdio>
    #include <iostream>
    #define maxn 15
    #define rep(i,n) for(int i=0;i<n;i++)
    using namespace std;
    struct matrix{
        int v[maxn][maxn];
        void init(){memset(v,0,sizeof v);}
    }a,b;
    matrix mul(matrix a,matrix b,int l,int m,int n,int mod){
        matrix c; c.init();
        rep(i,l)rep(j,m)rep(k,n)c.v[i][j]=(c.v[i][j]+(a.v[i][k]*b.v[k][j])%mod)%mod;
        return c;
    }
    matrix power(matrix a,int l,int m,int n,int x,int mod){
        if(x==1)return a;
        matrix tmp=power(a,l,m,n,x>>1,mod);
        tmp=mul(tmp,tmp,l,m,n,mod);
        if(x&1)tmp=mul(tmp,a,l,m,n,mod);
        return tmp;
    }
    int main(){
        int m,n;
        while(~scanf("%d%d",&n,&m)){
            a.init();
            for(int i=0;i<=8;i++)a.v[i][i+1]=1;
            for(int i=9;~i;i--)scanf("%d",&a.v[9][i]);
            if(n<=9){printf("%d
    ",n%m);continue;}
            for(int i=0;i<=9;i++)b.v[i][0]=i;
            a=power(a,10,10,10,n-9,m);
            b=mul(a,b,10,1,10,m);
            printf("%d
    ",b.v[9][0]);
        }
        return 0;
    }
    
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  • 原文地址:https://www.cnblogs.com/forever97/p/3654133.html
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