Pagini recente » Cod sursa (job #2734084) | Cod sursa (job #3123950) | Cod sursa (job #2972476) | Cod sursa (job #2765014) | Cod sursa (job #1584514)
#include <fstream>
#include <iostream>
#define r 666013
using namespace std;
ifstream f("kfib.in");
ofstream g("kfib.out");
void produs(int p[2][2], int a[2][2], int b[2][2])
{
int aux[2][2];
aux[0][0] = (((long long)((long long)a[0][0]*(long long)b[0][0]))%r + ((long long)((long long)a[0][1]*(long long)b[1][0])%r))%r;
aux[0][1] = (((long long)((long long)a[0][0]*(long long)b[0][1]))%r + ((long long)((long long)a[0][1]*(long long)b[1][1])%r))%r;
aux[1][0] = (((long long)((long long)a[1][0]*(long long)b[0][0]))%r + ((long long)((long long)a[1][1]*(long long)b[1][0])%r))%r;
aux[1][1] = (((long long)((long long)a[1][0]*(long long)b[0][1]))%r + ((long long)((long long)a[1][1]*(long long)b[1][1])%r))%r;
p[0][0] = aux[0][0], p[0][1] = aux[0][1]; ///de ce mai e nevoie de un auxiliar?
p[1][0] = aux[1][0], p[1][1] = aux[1][1];
}
void putere(int p[2][2], int a[2][2], int n) ///calculeaza (matricea a)^n
{
if (n==0)
{
p[0][0] = p[1][1]= 1; //matricea unitate I2
p[0][1] = p[1][0]= 0;
return;
}
if (n%2 == 0)
{
produs (a, a, a);
putere (p, a, n/2);
}
else
{
int aux[2][2];
aux[0][0] = a[0][0]%r, aux[0][1] = a[0][1]%r;
aux[1][0] = a[1][0]%r, aux[1][1] = a[1][1]%r;
produs (a, a, a);
putere (p, a, n/2);
produs (p, p, aux);
}
}
int main()
{
int F[2][2], k, p[2][2];
F[0][0] = 1, F[0][1] = 1;
F[1][0] = 1, F[1][1] = 0;
p[0][0] = p[1][1] = 1;
p[0][1] = p[1][0] = 0;
f >> k;
if (k==0)
{
g << "0";
return 0;
}
if (k==1||k==2)
{
g << "1";
return 0;
}
putere(p, F, k-1);
g << p[0][0]; //al k-lea termen Fibonacci
return 0;
}