Cod sursa(job #2959689)

Utilizator matei.tudoseMatei Tudose matei.tudose Data 2 ianuarie 2023 12:56:53
Problema Al k-lea termen Fibonacci Scor 100
Compilator cpp-64 Status done
Runda Arhiva educationala Marime 1.23 kb
#include <fstream>
using namespace std;

ifstream fin("kfib.in");
ofstream fout("kfib.out");

int N, fibo[2][2], multip[2][2];
const int MOD = 666013;

int main()
{
    fin >> N;
    fibo[0][0] = fibo[0][1] = 1;
    multip[0][0] = multip[0][1] = multip[1][0] = 1;
    N -= 2;
    while (N)
    {
        if (N & 1)
        {
            int aux[2][2];
            for (int i = 0; i < 2; i++)
                for (int j = 0; j < 2; j++)
                {
                    aux[i][j] = 0;
                    for (int k = 0; k < 2; k++)
                        aux[i][j] = (aux[i][j] + 1LL * fibo[i][k] * multip[k][j]) % MOD;
                }
            for (int i = 0; i < 2; i++)
                for (int j = 0; j < 2; j++)
                    fibo[i][j] = aux[i][j];
        }
        int aux[2][2];
        for (int i = 0; i < 2; i++)
            for (int j = 0; j < 2; j++)
            {
                aux[i][j] = 0;
                for (int k = 0; k < 2; k++)
                    aux[i][j] = (aux[i][j] + 1LL * multip[i][k] * multip[k][j]) % MOD;
            }
        for (int i = 0; i < 2; i++)
            for (int j = 0; j < 2; j++)
                multip[i][j] = aux[i][j];
        N >>= 1;
    }
    fout << fibo[0][0] << "\n";
    return 0;
}