#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); } const ll mod = 1e9 + 7; int modpow(int a, int b) { if (b == 0) return 1; return (modpow((ll)a * a % mod, b / 2) % mod * (b % 2 ? a : 1) % mod) % mod; } int main() { int a, b, n; cin >> a >> b >> n; 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; } double al, be; al = (a + sqrt(a * a + 4 * b)) / 2; be = (a - sqrt(a * a + 4 * b)) / 2; // cout << al << " " << be << endl; ll x = 0, y = 1; rep3(i, 2, n + 1) { ll z = (ll)((al * y + pow(be, i - 1)) + mod) % mod; // cout << pow(be, i - 1) << " " << z << endl; x = y; y = z; } cout << y << endl; }