Cod sursa(job #3191369)

Utilizator BuruianaRaresAndreiBuruiana Rares Andrei BuruianaRaresAndrei Data 9 ianuarie 2024 15:52:21
Problema Al k-lea termen Fibonacci Scor 100
Compilator cpp-64 Status done
Runda Arhiva educationala Marime 0.87 kb
#include <fstream>
#include <cstring>

#define mod 666013

using namespace std;

ifstream cin("kfib.in");
ofstream cout("kfib.out");

int N, i;
int MAT[3][3], SOL[3][3];

inline void mult(int A[][3], int B[][3], int C[][3]) {
	int i, j, k;
	for (i = 0; i < 2; i++)
		for (j = 0; j < 2; j++)
			for (k = 0; k < 2; k++)
				C[i][j] = (C[i][j] + 1LL * A[i][k] * B[k][j]) % mod;

}

inline void lg_power(int P, int M[][3]) {
	int C[3][3], AUX[3][3], i;

	memcpy(C, MAT, sizeof(MAT));
	M[0][0] = M[1][1] = 1;

	for (i = 0; (1 << i) <= P; i++) {
		if (P & (1 << i)) {
			memset(AUX, 0, sizeof(AUX));
			mult(M, C, AUX);
			memcpy(M, AUX, sizeof(AUX));
		}

		memset(AUX, 0, sizeof(AUX));
		mult(C, C, AUX);
		memcpy(C, AUX, sizeof(C));
	}
}

int main() {
  cin >> N;

	MAT[0][0] = 0; MAT[0][1] = 1; MAT[1][0] = 1; MAT[1][1] = 1;

	lg_power(N - 1, SOL);

	cout << SOL[1][1] << '\n';

	return 0;
}