Cod sursa(job #2054119)

Utilizator Ioana_AndreeaCristescu Ioana Ioana_Andreea Data 1 noiembrie 2017 18:41:05
Problema Al k-lea termen Fibonacci Scor 100
Compilator cpp Status done
Runda Arhiva educationala Marime 0.76 kb
#include <fstream>
using namespace std;
ifstream fin("kfib.in");
ofstream fout("kfib.out");
const int MOD = 666013;
int Z[2][2],Sol[2][2];
int K;
void Multiply(int A[2][2], int B[2][2])
{
  long long C[2][2];
  for(int i = 0; i < 2; ++i)
    for(int j = 0; j < 2; ++j)
      {
        C[i][j] = 0;
        for(int k = 0; k < 2; ++k)
          C[i][j] += 1LL * A[i][k]*B[k][j];
        C[i][j] = C[i][j] % MOD;
      }
  for(int i = 0; i < 2; ++i)
    for(int j = 0; j < 2; ++j)
      A[i][j] = C[i][j];
}

int main()
{
    fin >> K; K--;

    Sol[0][1] = 1;
    Z[0][1] = Z[1][0] = Z[1][1] = 1;

    while(K)
    {
      if(K%2 == 1)
        Multiply(Sol,Z);
      Multiply(Z,Z);
      K = K / 2;
    }
    fout << Sol[0][1];
    return 0;
}