递推 hdu 3411

http://blog.csdn.net/wust_xhj/article/details/47779539

怎么推可以看这里  

f[0]=0

f[1]=1

[0,1]* | 0  q  |(n-1)=[f(n-1),f(n)]

　　　  | 1 q-1|

跑一下快速幂

#include<stdio.h>
#include<string.h>
#include<algorithm>
#include<math.h>

using namespace std;
typedef long long ll;
#define MAXN 105

struct node
{
    ll z[3][3];
};
ll Quick(ll a,ll b,ll c)
{
    ll ans=1;
    while(b>0)
    {
        if(b%2==1)
            ans=(ans*a)%c;
        b/=2;
        a=(a*a)%c;
    }
    return ans;
}
ll p;
node mou(node a,node b)
{
    node c;
    for(int i=0;i<2;i++)
    {
        for(int j=0;j<2;j++)
        {
            ll sum=0;
            for(int k=0;k<2;k++)
                sum=(sum+a.z[i][k]*b.z[k][j])%p;
            c.z[i][j]=sum;
        }
    }
    return c;
}
int main()
{
    ll x1,y1,z1,y2,z2;
    while(scanf("%lld%lld%lld",&x1,&y1,&z1)!=EOF)
    {
        if(x1==-1&&y1==-1&&z1==-1)
            break;
        scanf("%lld%lld%lld",&y2,&z2,&p);
        ll q=(Quick(x1,y1,p)+z1)%p;
        node s,a,ans;
        ans.z[0][0]=1;
        ans.z[0][1]=0;
        ans.z[1][0]=0;
        ans.z[1][1]=1;
        a.z[0][0]=0;
        a.z[0][1]=q;
        a.z[1][0]=1;
        a.z[1][1]=q-1;
        s=a;
        while(z2>0)
        {
            if(z2%2==1)
                ans=mou(ans,a);
            z2=z2/2;
            a=mou(a,a);
        }
        for(int i=0;i<y2;i++)
        {
            ans=mou(s,ans);
            s=mou(s,s);
        }
        printf("%d
",ans.z[1][1]);

    }
    return  0;
}