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",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\n",b.v[9][0]); } return 0; }
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