Cod sursa(job #1829205)

Utilizator radiogard1999Dragoi Andrei radiogard1999 Data 14 decembrie 2016 16:09:47
Problema Al k-lea termen Fibonacci Scor 100
Compilator cpp Status done
Runda Arhiva educationala Marime 0.98 kb
#include <bits/stdc++.h>
#define MOD 666013
using namespace std;
ifstream fin("kfib.in");
ofstream fout("kfib.out");
int k,p[3][3],a[3][3];
void Produs(int a[3][3],int b[3][3],int c[3][3])
{
    int i,j,k;
    for(i=1;i<=2;i++)
        for(j=1;j<=2;j++)
        {
            c[i][j]=0;
            for(k=1;k<=2;k++)
            c[i][j]=(c[i][j]+1LL*a[i][k]*b[k][j])%MOD;
        }
}

void Copy(int a[3][3],int b[3][3])
{
    int i,j;
    for(i=1;i<=2;i++)
        for(j=1;j<=2;j++)
            a[i][j]=b[i][j];
}

void LogP(int a[3][3],int n)
{
    int c[3][3];
    p[1][1]=p[2][2]=1;
    p[1][2]=p[2][1]=0;
    while(n>0)
    {
        if(n%2==1)
        {
            Produs(p,a,c);
            Copy(p,c);
        }
        n/=2;
        Produs(a,a,c);
        Copy(a,c);
    }
}

int main()
{
    fin>>k;
    fin.close();
    a[1][1]=0;
    a[1][2]=a[2][1]=a[2][2]=1;
    LogP(a,k-1);
    fout<<p[2][2]<<"\n";
    fout.close();
    return 0;
}