#include using namespace std; typedef long long ll; #define F first #define S second #define pii pair #define eb emplace_back #define all(v) v.begin(), v.end() #define rep(i, n) for (int i = 0; i < (n); ++i) #define rep3(i, l, n) for (int i = l; i < (n); ++i) #define sz(v) (int)v.size() #define inf (int)(1e9+7) #define abs(x) (x >= 0 ? x : -(x)) #define ceil(a, b) a / b + !!(a % b) template inline void chmin(T1 &a, T2 b) { if (a > b) a = b; } template inline void chmax(T1 &a, T2 b) { if (a < b) a = b; } template T pow(T a, int b) { return b ? pow(a * a, b / 2) * (b % 2 ? a : 1) : 1; } template T gcd(T a, T b) { if (b == 0) return a; return gcd(b, a % b); } typedef vector vec; typedef vector > mat; int m; const ll mod = 1e9 + 7; vec matmul(vec &dp, mat &mt) { vec ret(m, 0); for (int i = 0; i < m; ++i) for (int j = 0; j < m; ++j) { (ret[i] += mt[i][j] * dp[j]) %= mod; } return ret; } mat update(mat &mt) { mat ret(m, vec(m, 0)); for (int i = 0; i < m; ++i) for (int j = 0; j < m; ++j) for (int k = 0; k < m; ++k) { (ret[i][j] += mt[i][k] * mt[k][j]) %= mod; } return ret; } void matpow(vec &dp, mat &mt, ll k) { m = (int)dp.size(); while (k) { if (k & 1) dp = matmul(dp, mt); mt = update(mt); k /= 2; } } ll modpow(ll n, int k) { ll ans = 1; while (k) { if (k & 1) (ans *= n) %= mod; (n *= n) %= mod; k >>= 1; } return ans; } 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; } if (a == 0 && b == 0) { cout << 0 << endl; return 0; } else if (a == 0) { if (n % 2 == 0) { cout << 0 << endl; } else { cout << modpow(b, n / 2) << endl; } return 0; } else if (b == 0) { cout << modpow(a, n - 1) << endl; return 0; } vec dp(2); dp[0] = 1; dp[1] = 0; mat mt(2, vec(2)); mt[0][0] = a; mt[0][1] = b; mt[1][0] = 1; mt[1][1] = 0; matpow(dp, mt, n - 1); cout << dp[0] << endl; // rep(i, 2) { rep(j, 2) cout << mt[i][j] << " "; cout << endl; } }