BJFU 1440 fudq的ACM

矩阵快速幂

 1 #include<cstdio>
 2 #include<algorithm>
 3 using namespace std;
 4 const int Nmax = 25;
 5 const int INF =1e9;
 6 const int mod=1000000007;
 7  
 8 long long n;
 9 int error;
10 struct Matrix
11 {
12     int n,m;
13     long long map[Nmax][Nmax];
14     Matrix(int x,int y)
15     {
16         n=x;m=y;
17         for(int i=1;i<=n;i++)
18             for(int j=1;j<=m;j++)
19                 map[i][j]=0;
20     }
21     Matrix operator * (const Matrix b)
22     {
23         Matrix c(n,b.m);
24         if(m==b.n)
25         {
26             for(int i=1;i<=c.n;i++)
27                 for(int j=1;j<=c.m;j++)
28                     for(int k=1;k<=m;k++)
29                         c.map[i][j]=(c.map[i][j]+(map[i][k]*b.map[k][j])%mod)%mod;
30             return c;
31         }
32         printf("error!!!!!!!!!!!!!!\n");   
33     }
34 };
35  
36 Matrix get(long long n)
37 {
38     Matrix base(2,2);
39     base.map[1][1]=2;
40     base.map[1][2]=2;
41     base.map[2][1]=1;
42     base.map[2][2]=0;
43     Matrix ans(2,2);
44     ans.map[1][1]=1;
45     ans.map[1][2]=0;
46     ans.map[2][1]=0;
47     ans.map[2][2]=1;
48      
49     while(n>0)
50     {
51         if(n & 1)
52             ans=ans*base;
53         base=base*base;
54         n>>=1;
55     }
56      
57     return ans;
58 }
59  
60  
61  
62 int main()
63 {
64     //freopen("bjfu.in","r",stdin);
65     Matrix base(2,1);  
66     base.map[1][1]=8;
67     base.map[2][1]=3;
68      
69     while(scanf("%I64d",&n)==1)
70     {
71         if(n>=3)
72         {
73             Matrix ans=get(n-2);
74             ans=ans*base;
75             printf("%I64d\n",ans.map[1][1]);
76         }
77         else
78         {
79             printf("%I64d\n",base.map[3-n][1]);
80         }
81     }
82     return 0;
83 }

 

posted @ 2016-09-29 20:39  BBBob  阅读(264)  评论(0编辑  收藏  举报