// #define DEBUGGING #include using namespace std; #define endl '\n' #define ALL(V) (V).begin(), (V).end() #define ALLR(V) (V).rbegin(), (V).rend() template using V = vector; template using VV = V>; using ll = int64_t; using ull = uint64_t; using PLL = pair; template const T& var_min(const T &t) { return t; } template const T& var_max(const T &t) { return t; } template const T& var_min(const T &t, const Tail&... tail) { return min(t, var_min(tail...)); } template const T& var_max(const T &t, const Tail&... tail) { return max(t, var_max(tail...)); } template void chmin(T &t, const Tail&... tail) { t = var_min(t, tail...); } template void chmax(T &t, const Tail&... tail) { t = var_max(t, tail...); } template const T& clamp(const T &t, const T &low, const T &high) { return max(low, min(high, t)); } template void chclamp(T &t, const T &low, const T &high) { t = clamp(t, low, high); } namespace init__ { struct InitIO { InitIO() { cin.tie(nullptr); ios_base::sync_with_stdio(false); cout << fixed << setprecision(30); } } init_io; } #ifdef DEBUGGING // #include "../debug/debug.cpp" #include "../../debug/debug.cpp" #else #define DEBUG(...) 0 #define DEBUG_SEPARATOR_LINE 0 #endif template T make_v(T init) { return init; } template auto make_v(T init, size_t s, Tail... tail) { #define rec make_v(init, tail...) return V(s, rec); #undef rec } using Mat = VV; const ll mod = 1e9 + 7; Mat mul(const Mat &ma, const Mat &mb) { Mat ret = make_v(0, ma.size(), mb[0].size()); for(ll i = 0; i < ma.size(); i++) { for(ll j = 0; j < mb[0].size(); j++) { for(ll k = 0; k < mb.size(); k++) { (ret[i][j] += ma[i][k] * mb[k][j]) %= mod; } } } return ret; } Mat pow__(Mat n, ll k) { Mat ret = make_v(0, n.size(), n.size()); for(ll i = 0; i < ret.size(); i++) ret[i][i] = 1; if(k == 0) return ret; if(k & 1) ret = mul(ret, n); auto rec = pow__(mul(n, n), k / 2); return mul(ret, rec); } ll solve() { ll a, b, n; cin >> a >> b >> n; if(n == 0) return 0; if(n == 1) return 1; Mat mat = { { a, b, }, { 1, 0, }, }; mat = pow__(mat, n - 1); return mat[0][0]; } int main() { cout << solve() << endl; return 0; }