poj3233 Matrix Power Series 矩阵快速幂

 1 #include <iostream>
 2 #include <cstring>
 3 #include <algorithm>
 4 #include <cstdio>
 5 using namespace std;
 6 typedef long long ll;
 7 #define MS(a) memset(a,0,sizeof(a))
 8 #define MP make_pair
 9 #define PB push_back
10 const int INF = 0x3f3f3f3f;
11 const ll INFLL = 0x3f3f3f3f3f3f3f3fLL;
12 inline ll read(){
13     ll x=0,f=1;char ch=getchar();
14     while(ch<‘0‘||ch>‘9‘){if(ch==‘-‘)f=-1;ch=getchar();}
15     while(ch>=‘0‘&&ch<=‘9‘){x=x*10+ch-‘0‘;ch=getchar();}
16     return x*f;
17 }
18 //////////////////////////////////////////////////////////////////////////
19 const int maxn = 1e5+10;
20 
21 int n,k,mod;
22 struct node{
23     int mat[65][65];
24 }ans,cnt;
25 
26 node mul(node a,node b){
27     int t = n*2;
28     node re;
29     memset(re.mat,0,sizeof(re.mat));
30     for(int i=0; i<t; i++)
31         for(int k=0; k<t; k++)
32             for(int j=0; j<t; j++)
33                 re.mat[i][j] = (re.mat[i][j]+a.mat[i][k]*b.mat[k][j])%mod;
34 
35     return re;
36 }
37 
38 void qpow(int k){
39     while(k){
40         if(k & 1) ans = mul(ans,cnt);
41         cnt = mul(cnt,cnt);
42         k >>= 1;
43     }
44 }
45 
46 int main(){
47     while(cin>>n>>k>>mod){
48         memset(cnt.mat,0,sizeof(cnt.mat));
49         memset(ans.mat,0,sizeof(ans.mat));
50         for(int i=0; i<n; i++)
51             for(int j=0; j<n; j++){
52                 cnt.mat[i][j] = read();
53                 cnt.mat[i+n][j] = cnt.mat[i][j];
54             }
55 
56         for(int i=0; i<n; i++){
57             cnt.mat[i+n][i+n] = 1;
58             ans.mat[i][i] = ans.mat[i+n][i+n] = 1;
59         }
60 
61         qpow(k);
62 
63         for(int i=0; i<n; i++){
64             for(int j=0; j<n; j++){
65                 printf("%d ",ans.mat[i+n][j]);
66             }
67             puts("");
68         }
69     }
70 
71     return 0;
72 }