Cod sursa(job #2056479)

Utilizator maria_sinteaMaria Sintea maria_sintea Data 4 noiembrie 2017 12:00:32
Problema Al k-lea termen Fibonacci Scor 100
Compilator cpp Status done
Runda Arhiva educationala Marime 1.17 kb
#include <cstdio>
#define mod 666013

using namespace std;

int m[2][2]={{1, 1}, {1, 0}};
int mat[2][2]={{1, 1}, {1, 0}};
int matrice[2][2]={{1, 1}, {1, 0}};
int k, a, b;

void inmultire(int m1[2][2], int m2[2][2], int rez[2][2])
{
    rez[0][0]=((1LL*m1[0][0]*m2[0][0])%mod+(1LL*m1[0][1]*m2[1][0])%mod)%mod;
    rez[0][1]=((1LL*m1[0][0]*m2[0][1])%mod+(1LL*m1[0][1]*m2[1][1])%mod)%mod;
    rez[1][0]=((1LL*m1[1][0]*m2[0][0])%mod+(1LL*m1[1][1]*m2[1][0])%mod)%mod;
    rez[1][1]=((1LL*m1[1][0]*m2[0][1])%mod+(1LL*m1[1][1]*m2[1][1])%mod)%mod;
}

void fibonacci(int k)
{
    if(k==1)
        return;
    if(k%2==0)
    {
        fibonacci(k/2);
        inmultire(mat, mat, m);
        mat[0][0]=m[0][0];
        mat[0][1]=m[0][1];
        mat[1][0]=m[1][0];
        mat[1][1]=m[1][1];
    }
    else
    {
        fibonacci(k-1);
        inmultire(mat, matrice, m);
        mat[0][0]=m[0][0];
        mat[0][1]=m[0][1];
        mat[1][0]=m[1][0];
        mat[1][1]=m[1][1];
    }
}

int main()
{
    freopen("kfib.in", "r", stdin);
    freopen("kfib.out", "w", stdout);

    scanf("%d", &k);
    fibonacci(k-1);
    printf("%d", m[0][0]);
    return 0;
}