Cod sursa(job #2187101)

Utilizator SoranaAureliaCatrina Sorana SoranaAurelia Data 26 martie 2018 11:01:26
Problema Al k-lea termen Fibonacci Scor 100
Compilator cpp Status done
Runda Arhiva educationala Marime 1.35 kb
#include <cstdio>
using namespace std;

int k;
long long a[3][3], rez[3][3], cop[3][3];
const int MOD=666013;
void inmultire(long long a1[3][3], long long b[3][3], long long c[3][3])
{
    c[1][1]=0;
    c[1][2]=0;
    c[2][1]=0;
    c[2][2]=0;
    for(int i=1; i<=2; i++)
    {
        for(int j=1; j<=2; j++)
        {
            int s=0;
            for(int k=1; k<=2; k++)
                c[i][j]=(c[i][j]+((1LL*a1[i][k]*b[k][j])%MOD))%MOD;
        }
    }
}

int inloc(long long a1[3][3], long long b[3][3])
{
    a1[1][1]=b[1][1];
    a1[1][2]=b[1][2];
    a1[2][1]=b[2][1];
    a1[2][2]=b[2][2];
    for(int i=1;i<=2; i++)
        for(int j=1;j<=2;j++)
        {
            b[i][j]=0;
        }
}
int putere(int p)
{
    rez[1][1]=1;
    rez[1][2]=0;
    rez[2][1]=0;
    rez[2][2]=1;
    while(p)
    {
        if(p%2==1)
        {
            p--;
            inmultire(rez,a,cop);
            inloc(rez,cop);
            continue;
        }
        p/=2;
        inmultire(a, a, cop);
        inloc(a, cop);
    }
    long long s=(1LL*rez[1][1]+rez[2][1])%MOD;
    return s;
}
int main()
{
    freopen("kfib.in", "r", stdin);
    freopen("kfib.out", "w", stdout);
    a[1][1]=1;
    a[1][2]=1;
    a[2][1]=1;
    a[2][2]=0;
    int k;
    scanf("%d", &k);
    printf("%d", putere(k-2));
    return 0;
}