#include <bits/stdc++.h> #include <atcoder/all> typedef long long int ll; using namespace std; typedef pair<ll, ll> P; using namespace atcoder; template<typename T> using min_priority_queue = priority_queue<T, vector<T>, greater<T>>; #define USE998244353 #ifdef USE998244353 const ll MOD = 998244353; using mint = modint998244353; #else const ll MOD = 1000000007; using mint = modint1000000007; #endif #pragma region //使いがち const int MAX = 2000001; long long fac[MAX], finv[MAX], inv[MAX]; void COMinit() { fac[0] = fac[1] = 1; finv[0] = finv[1] = 1; inv[1] = 1; for (int i = 2; i < MAX; i++){ fac[i] = fac[i - 1] * i % MOD; inv[i] = MOD - inv[MOD%i] * (MOD / i) % MOD; finv[i] = finv[i - 1] * inv[i] % MOD; } } long long COM(int n, int k){ if (n < k) return 0; if (n < 0 || k < 0) return 0; return fac[n] * (finv[k] * finv[n - k] % MOD) % MOD; } ll pow_ll(ll x, ll n) { if (n == 0) return 1; if (n % 2) { return pow_ll(x, n - 1) * x; } else { ll tmp = pow_ll(x, n / 2); return tmp * tmp; } } // floor(a^(1/k)) ll floor_root(ll a, ll k) { assert(a >= 0); assert(k >= 1); if (a == 0) return 0; if (k == 1) return a; // 大体の値 ll x = (ll)pow(a, 1.0 / k); // 増やす while ((pow_ll(x + 1, k)) <= a) { x++; } // 減らす while ((pow_ll(x, k)) > a) { x--; } return x; } ll keta(ll num, ll arity) { ll ret = 0; while (num) { num /= arity; ret++; } return ret; } // k進数で見た時のi桁目の数を返す (一番下は0桁目) ll keta_num(ll num, ll i, ll k) { return (num / pow_ll(k, i)) % k; } ll ceil(ll n, ll m) { // n > 0, m > 0 ll ret = n / m; if (n % m) ret++; return ret; } void compress(vector<ll>& v) { // [3 5 5 6 1 1 10 1] -> [1 2 2 3 0 0 4 0] vector<ll> u = v; sort(u.begin(), u.end()); u.erase(unique(u.begin(),u.end()),u.end()); map<ll, ll> mp; for (int i = 0; i < u.size(); i++) { mp[u[i]] = i; } for (int i = 0; i < v.size(); i++) { v[i] = mp[v[i]]; } } vector<pair<ll, ll> > prime_factorize(ll N) { vector<pair<ll, ll> > res; for (ll a = 2; a * a <= N; ++a) { if (N % a != 0) continue; ll ex = 0; // 指数 // 割れる限り割り続ける while (N % a == 0) { ++ex; N /= a; } // その結果を push res.push_back({a, ex}); } // 最後に残った数について if (N != 1) res.push_back({N, 1}); return res; } #pragma endregion // 1以上n以下について素数かどうかのリストを返す vector<bool> is_prime_list(int n) { vector<bool> is_prime(n + 1, true); is_prime[0] = false; is_prime[1] = false; for (int i = 2; i * i <= n; i++) { if (!is_prime[i]) continue; for (int j = i * 2; j <= n; j += i) { is_prime[j] = false; } } return is_prime; } // 行列同士の掛け算 vector<vector<mint>> mul(vector<vector<mint>> A, vector<vector<mint>> B) { int n = A.size(); int m = B.size(); int l = B[0].size(); assert(A[0].size() == m); vector<vector<mint>> C(n, vector<mint>(l)); for (int i = 0; i < n; i++) { for (int j = 0; j < l; j++) { mint val = 0; for (int k = 0; k < m; k++) { val += A[i][k] * B[k][j]; } C[i][j] = val; } } return C; } // 行列の累乗 vector<vector<mint>> pow(vector<vector<mint>> A, ll n) { if (n == 0) { int s = A.size(); vector<vector<mint>> B(s, vector<mint>(s)); for (int i = 0; i < s; i++) { B[i][i] = 1; } return B; } if (n == 1) { return A; } else if (n % 2) { return mul(A, pow(A, n - 1)); } else { vector<vector<mint>> B = pow(A, n / 2); return mul(B, B); } } int main() { ll x1, y1, n; cin >> x1 >> y1 >> n; vector<vector<mint>> s(4, vector<mint>(1)); s[0][0] = x1; s[1][0] = y1; s[2][0] = 0; s[3][0] = 0; vector<vector<mint>> t(4, vector<mint>(4, 0)); t[0][0] = x1; t[0][1] = -5 * y1; t[1][0] = y1; t[1][1] = x1; t[2][0] = 1; t[2][2] = 1; t[3][1] = 1; t[3][3] = 1; auto v = mul(pow(t, n), s); cout << v[2][0].val() << ' ' << v[3][0].val() << endl; return 0; }