#include #include #include #include #include #include #include using namespace std; using ll = long long; struct ModInt { ModInt() {} ModInt(ll k) : i(k %Mod) {} ModInt operator+(ModInt m) const { ModInt r; r.i = i + m.i; if (r.i >= Mod) r.i -= Mod; return r; } ModInt operator-(ModInt m) const { ModInt r; r.i = i - m.i; if (r.i < 0) r.i += Mod; return r; } ModInt operator*(ModInt m) const { ModInt r; r.i = (ll)i * m.i % Mod; return r; } ModInt &operator+=(ModInt m) { i += m.i; if (i >= Mod) i -= Mod; return *this; } ModInt &operator-=(ModInt m) { i -= m.i; if (i < 0) i += Mod; return *this; } ModInt &operator*=(ModInt m) { i = (ll)i * m.i % Mod; return *this; } ModInt operator-() const { ModInt r; r.i = i == 0 ? 0 : Mod - i; return r; } ModInt pow(ll k) const { ModInt r = 1, t = *this; for (; k != 0; k /= 2) { if (k & 1) r *= t; t *= t; } return r; } ////Modが素数のときのみ //ModInt inv() const { // return pow(Mod - 2); //} //ModInt operator/(ModInt m) const { // return *this * m.inv(); //} //ModInt &operator/=(ModInt m) { // return *this *= m.inv(); //} static int Mod; int i; }; int ModInt::Mod = 1000000007; template struct ColumnVector { struct SquareMatrix { static SquareMatrix E() { SquareMatrix r; for (int i = 0; i < N; i++) { for (int j = 0; j < N; j++) { r.a[i][j] = i == j; } } return r; } ColumnVector operator*(const ColumnVector &v) const { ColumnVector r; for (int i = 0; i < N; i++) { T t = 0; for (int k = 0; k < N; k++) { t += a[i][k] * v.a[k]; } r.a[i] = t; } return r; } SquareMatrix operator*(const SquareMatrix &x) const { SquareMatrix r; for (int i = 0; i < N; i++) { for (int j = 0; j < N; j++) { T t = 0; for (int k = 0; k < N; k++) { t += a[i][k] * x.a[k][j]; } r.a[i][j] = t; } } return r; } SquareMatrix pow(ll k) const { SquareMatrix r = E(), t = *this; for (; k != 0; k /= 2) { if (k & 1) r = r * t; t = t * t; } return r; } void print() const { for (int i = 0; i < N; i++) { for (int j = 0; j < N; j++) { cout << a[i][j].i << " \n"[j == N - 1]; } } } T a[N][N]; }; void print() const { for (int i = 0; i < N; i++) { cout << a[i].i << " \n"[i == N - 1]; } } T a[N]; }; int main() { int a, b, n; cin >> a >> b >> n; ColumnVector v = { 0, 1 }; decltype(v)::SquareMatrix x = { 0, 1, b, a }; v = x.pow(n) * v; cout << v.a[0].i << endl; return 0; }