Cod sursa(job #3136139)

Utilizator yungxristfaur cristian yungxrist Data 5 iunie 2023 15:11:37
Problema Al k-lea termen Fibonacci Scor 100
Compilator cpp-64 Status done
Runda Arhiva educationala Marime 1.79 kb
#include <bits/stdc++.h>
#include <fstream>
#define N 2

using namespace std;
ifstream in("kfib.in");
ofstream out("kfib.out");


void inmultireMatrice (long long int A[N][N], long long int B[N][N], long long int C[N][N])
{
    for (int i = 0; i < N; i++)
        for (int j = 0; j < N; j++)
        {
            C[i][j] = 0;
            for (int k = 0; k < N; k++)
                C[i][j] = (C[i][j] + A[i][k] * B[k][j]) % 666013; 
        }
}

void power (long long int F[N][N], int exp)
{
    if (exp <= 1)
        return;
        
    long long int matConst[N][N];
    matConst[0][0] = 0;
    matConst[0][1] = 1;
    matConst[1][0] = 1;
    matConst[1][1] = 1;

    long long int aux[N][N];
    while (exp > 0)
    {
        if (exp % 2 == 1)
        {
            inmultireMatrice(F,matConst,aux);
            for (int i = 0; i < N; i++)
                for (int j = 0; j< N; j++)
                {
                    F[i][j] = aux[i][j];
                    cout << F[i][j] << ' ';
                }
            cout << '\n';
        }
            inmultireMatrice(matConst, matConst, aux);
            for (int i = 0; i < N; i++)
                for (int j = 0; j< N; j++)
                {
                    matConst[i][j] = aux[i][j];
                    cout << F[i][j] << ' ';
                }
            cout << '\n';

            exp = exp / 2;
    }
}

int termenFibinacci (int k)
{
    if (k==0)
        return 0;
    long long int matConst[N][N];
    matConst[0][0] = 0;
    matConst[0][1] = 1;
    matConst[1][0] = 1;
    matConst[1][1] = 1;
    power (matConst, k-1);
    return matConst[1][0];
}
int main ()
{
    int k;
    long long int kTermen;
    in >> k;
    kTermen = termenFibinacci(k);
    out << kTermen;
    return 0;
}