//include //------------------------------------------ #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; #define SHOW_VECTOR(v) {std::cerr << #v << "\t:";for(const auto& xxx : v){std::cerr << xxx << " ";}std::cerr << "\n";} #define SHOW_MAP(v){std::cerr << #v << endl; for(const auto& xxx: v){std::cerr << xxx.first << " " << xxx.second << "\n";}} using LL = long long; //------------------------------------------ //------------------------------------------ template using Matrix = vector>; template Matrix mat_add(Matrix A, Matrix B, const LL MOD) { int m = A.size(); int n = B[0].size(); Matrix C(m, vector(n)); for (int i = 0; i < m; i++) { for (int j = 0; j < n; j++) { C[i][j] = A[i][j] + B[i][j]; C[i][j] %= MOD; } } return C; } template Matrix mat_sub(Matrix A, Matrix B, const LL MOD) { int m = A.size(); int n = B[0].size(); Matrix C(m, vector(n)); for (int i = 0; i < m; i++) { for (int j = 0; j < n; j++) { C[i][j] = A[i][j] - B[i][j] + MOD; C[i][j] %= MOD; } } return C; } template Matrix mat_mul(Matrix A, Matrix B, const LL MOD) { int m = A.size(); int l = B.size(); int n = B[0].size(); Matrix C(m, vector(n)); for (int i = 0; i < m; i++) { for (int j = 0; j < n; j++) { for (int k = 0; k < l; k++) { C[i][j] += A[i][k] * B[k][j]; C[i][j] %= MOD; } } } return C; } template Matrix mat_pow_mod(Matrix A, LL p, const LL MOD) { Matrix ret(A.size(), vector(A.size(), 0)); for (int i = 0; i < A.size(); i++) ret[i][i] = 1; while (p > 0) { if (p & 1) ret = mat_mul(ret, A, MOD); A = mat_mul(A, A, MOD); p >>= 1; } return ret; } constexpr LL mod = 1e9 + 7; int main() { LL a, b, n; cin >> a >> b >> n; Matrix A(2, vector(2)); A[0][0] = a; A[0][1] = b; A[1][0] = 1; A[1][1] = 0; if (n == 0) { cout << 0 << endl; return 0; } else if (n == 1) { cout << 1 << endl; return 0; } Matrix B(2, vector(1)); B[0][0] = 1; B[0][1] = 0; auto ans = mat_mul(mat_pow_mod(A, n - 1, mod), B, mod); cout << ans[0][0] << endl; return 0; }