#include #include #include #include #include #include #include #include #include #include static const int MOD = 1000000007; using ll = long long; using u32 = uint32_t; using namespace std; template constexpr T INF = ::numeric_limits::max()/32*15+208; template struct SquareMatrix { using ar = array; using mat = array; mat A; SquareMatrix() = default; static SquareMatrix I(T e){ SquareMatrix X; for (int i = 0; i < SIZE; ++i) { X[i][i] = e; } return X; } inline const ar &operator[](int k) const{ return (A.at(k)); } inline ar &operator[](int k) { return (A.at(k)); } SquareMatrix &operator+= (const SquareMatrix &B){ for (int i = 0; i < SIZE; ++i) { for (int j = 0; j < SIZE; ++j) { (*this)[i][j] += B[i][j]; } } return (*this); } SquareMatrix &operator-= (const SquareMatrix &B){ for (int i = 0; i < SIZE; ++i) { for (int j = 0; j < SIZE; ++j) { (*this)[i][j] -= B[i][j]; } } return (*this); } SquareMatrix &operator*=(const SquareMatrix &B) { SquareMatrix C; for (int i = 0; i < SIZE; ++i) { for (int j = 0; j < SIZE; ++j) { for (int k = 0; k < SIZE; ++k) { C[i][j] += ((*this)[i][k] * B[k][j]); } } } A.swap(C.A); return (*this); } SquareMatrix pow(ll n) const { SquareMatrix a = (*this), res = I(T(1)); while(n > 0){ if(n & 1) res *= a; a *= a; n >>= 1; } return res; } SquareMatrix operator+(const SquareMatrix &B) const {return SquareMatrix(*this) += B;} SquareMatrix operator-(const SquareMatrix &B) const {return SquareMatrix(*this) -= B;} SquareMatrix operator*(const SquareMatrix &B) const {return SquareMatrix(*this) *= B;} }; template struct modint { ll val; modint(const ll x = 0) : val(x) { val = x; while(val < 0) val += M; while(val > M) val -= M; } modint operator+(const modint a) const { return modint(*this) += a; } modint operator-(const modint a) const { return modint(*this) -= a; } modint operator*(const modint a) const { return modint(*this) *= a; } modint operator/(const modint a) const { return modint(*this) /= a; } modint operator-() const { return modint(M-val); } modint inv() const { ll u = 1, v = 0, s = 0, t = 1, m = M, x = val; while (x) {ll q = m/x; swap(s -= q*u, u); swap(t -= q*v, v); swap(m -= q*x, x); } if(s < 0) s += M; return modint(s); } modint pow(ll n) const { ll u = 1, xx = val; while (n > 0){ if (n&1) u = u * xx % M; xx = xx * xx % M; n >>= 1; } return modint(u); } modint& operator+=(const modint a){ val += a.val; if(val >= M) val -= M; return *this; } modint& operator-=(const modint a){ val -= a.val; if(val < 0) val += M; return *this; } modint& operator*=(const modint a){ val = val * a.val % M; return *this; } modint& operator/=(const modint a){ val = val * a.inv().val % M; return *this;} modint& operator=(const int& x){ val = x; while(val < 0) val += M; while(val > M) val -= M; return *this; } }; using mint = modint; using mat = SquareMatrix; int main() { ll b, c, d; cin >> b >> c >> d; mat A; A[0][0] = mint(c); A[1][0] = 1; A[1][1] = 1; A = A.pow(d); cout << ((A[0][0] + A[1][0]-mint(1))*mint(b)).val << "\n"; return 0; }