Cod sursa(job #2841047)

Utilizator mlupseLupse-Turpan Mircea mlupse Data 29 ianuarie 2022 11:14:14
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");
const int MOD = 666013;
int Z[2][2]; int K;
int Sol[1][2];
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] %= MOD;
        }
    for(int i = 0; i < 2 ; ++i)
        for(int j = 0; j < 2; ++j)
            A[i][j] = C[i][j];
}
void Multiply2(int A[1][2], int B[2][2])
{
    long long C[1][2];
    for(int i = 0; i < 1 ; ++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] %= MOD;
        }
    for(int i = 0; i < 1 ; ++i)
        for(int j = 0; j < 2; ++j)
            A[i][j] = C[i][j];
}

int main()
{
    fin >> K;
    Z[0][1] = Z[1][0] = Z[1][1] = 1;
    Sol[0][1] = 1;
    while(K)
    {
        if(K % 2 == 1)
            Multiply2(Sol,Z);
        Multiply(Z,Z);
        K = K / 2;
    }

    fout << Sol[0][0] << "\n";

    return 0;
}