#include using namespace std; #define rep(i,n) for(int i = 0; i < (n);i++) #define sz(x) int(x.size()) typedef unsigned long long ll; typedef long double ld; typedef pair P; constexpr int mod = 1e9+7; struct mint { ll x; // typedef long long ll; mint(ll x=0):x((x%mod+mod)%mod){} mint operator-() const { return mint(-x);} mint& operator+=(const mint a) { if ((x += a.x) >= mod) x -= mod; return *this; } mint& operator-=(const mint a) { if ((x += mod-a.x) >= mod) x -= mod; return *this; } mint& operator*=(const mint a) { (x *= a.x) %= mod; return *this;} mint operator+(const mint a) const { return mint(*this) += a;} mint operator-(const mint a) const { return mint(*this) -= a;} mint operator*(const mint a) const { return mint(*this) *= a;} mint pow(ll t) const { if (!t) return 1; mint a = pow(t>>1); a *= a; if (t&1) a *= *this; return a; } // for prime mod mint inv() const { return pow(mod-2);} mint& operator/=(const mint a) { return *this *= a.inv();} mint operator/(const mint a) const { return mint(*this) /= a;} }; typedef vector vec; typedef vector mat; int main() { int a, b, n; cin >> a >> b >> n; if (n == 0) { cout << 0 << endl; return 0; } if (n == 1) { cout << 1 << endl; return 0; } vec dp(3, 0); mat A(3, vec(3, 0)); A[0][0] = a, A[0][1] = b; A[1][0] = A[2][1] = 1; dp[0] = a, dp[1] = 1; n -= 2; auto update = [&](){ vec ndp(3, 0); for (int i = 0; i < 3; i++) { for (int j = 0; j < 3; j++) ndp[i] += A[i][j] * dp[j]; } dp = move(ndp); }; auto pow_mat = [&](){ mat B(3, vec(3, 0)); for (int i = 0; i < 3; i++) { for (int j = 0; j < 3; j++) { for (int k = 0; k < 3; k++) B[i][j] += A[i][k] * A[k][j]; } } A = move(B); }; while (n) { if (n & 1) update(); pow_mat(); n >>= 1; } cout << dp[0].x << endl; return 0; }