Cod sursa(job #2179695)

Utilizator DeadyBogdan Popa Deady Data 20 martie 2018 13:25:03
Problema Iepuri Scor 0
Compilator cpp Status done
Runda Arhiva de probleme Marime 1.81 kb
#include <iostream>
#include <cstring>

#define MOD  666013
#define KMAX 3

using namespace std;

// C = A * B
void multiply_matrix(int A[KMAX][KMAX], int B[KMAX][KMAX], int C[KMAX][KMAX]) {
    int tmp[KMAX][KMAX];

    // tmp = A * B
    for (int i = 0; i < KMAX; ++i) {
        for (int j = 0; j < KMAX; ++j) {
            unsigned long long sum = 0; // presupun ca suma  incape pe 64 de biti

            for (int k = 0; k < KMAX; ++k) {
                sum += 1LL * A[i][k] * B[k][j];
            }

            tmp[i][j] = sum % MOD;
        }
    }

    //  C = tmp
    memcpy(C, tmp, sizeof(tmp));
}

// R = C^p
void power_matrix(int C[KMAX][KMAX], int p, int R[KMAX][KMAX]) {
    // tmp = I (matricea identitate)
    int tmp[KMAX][KMAX];
    for (int i = 0; i < KMAX; ++i) {
        for (int j = 0; j < KMAX; ++j) {
            tmp[i][j] = (i == j) ? 1 : 0;
        }
    }

    while (p != 1) {
        if  (p % 2 == 0) {
            multiply_matrix(C, C, C);     // C = C*C
            p /= 2;                       // ramane de calculat C^(p/2)
        } else {
            // reduc la cazul anterior:
            multiply_matrix(tmp, C, tmp); // tmp = tmp*C
            --p;                          // ramane de calculat C^(p-1)
        }
    }

    // avem o parte din rezultat in C si o parte in tmp
    multiply_matrix(C, tmp, R);           // rezultat = tmp * C
}

int main() {
    int nr_interogari;
    cin >> nr_interogari;

    for (int i = 0; i < nr_interogari; ++i) {
        int x, y, z, a, b, c, n;

        cin >> x >> y >> z >> a >> b >> c >> n;

        int C[KMAX][KMAX] = {{0, 0, c},
                             {1, 0, b},
                             {0, 1, a}};

        power_matrix(C, n - 2, C);

        int result = x * C[0][2] + y * C[1][2] + z * C[2][2];

        cout << result << endl;
    }

    return 0;
}