#pragma GCC optimize("O3") #include #include #define ll long long #define rep(i,n) for(ll i=0;i<(n);i++) #define pll pair #define pii pair #define pq priority_queue #define pb push_back #define eb emplace_back #define fi first #define se second #define endl '\n' #define ios ios_base::sync_with_stdio(0),cin.tie(0),cout.tie(0); #define lb(c,x) distance(c.begin(),lower_bound(all(c),x)) #define ub(c,x) distance(c.begin(),upper_bound(all(c),x)) using namespace std; template inline bool chmax(T& a,T b){if(a inline bool chmin(T& a,T b){if(a>b){a=b;return 1;}return 0;} const int INF=1e9; const ll mod = 1e9+7; long double pow_d(long double val,ll t){ if (!t) return 1.0; long double a = pow_d(val,t>>1); a *= a; ll num=a; if(num>mod){ ll k=num/mod; long double ab=k; long double m=mod; a-=ab*m; } if (t&1) a *=val; num=a; if(num>mod){ ll k=num/mod; long double ab=k; long double m=mod; a-=ab*m; } return a; } int main(){ ll a,b,n; cin >> a >> b >> n; long double A=a,B=b; long double c=A+sqrt(B),d=A-sqrt(B); long double m=mod; if(d<0) d+=m; long double p=pow_d(c,n),q=pow_d(d,n); long double ans=p+q; ll v=round(ans); v%=mod; cout << v << endl; return 0; }