#pragma GCC ta g("avx2") #pragma GCC optimize("Ofast") #pragma GCC optimize("unroll-loops") #include using namespace std; #define DEBUG #ifdef DEBUG template ostream &operator<<(ostream &os, const pair &p) { os << '(' << p.first << ',' << p.second << ')'; return os; } template ostream &operator<<(ostream &os, const vector &v) { os << '{'; for(int i = 0; i < (int)v.size(); i++) { if(i) { os << ','; } os << v[i]; } os << '}'; return os; } void debugg() { cerr << endl; } template void debugg(const T &x, const Args &... args) { cerr << " " << x; debugg(args...); } #define debug(...) \ cerr << __LINE__ << " [" << #__VA_ARGS__ << "]: ", debugg(__VA_ARGS__) #define dump(x) cerr << __LINE__ << " " << #x << " = " << (x) << endl #else #define debug(...) (void(0)) #define dump(x) (void(0)) #endif using namespace std; typedef long long ll; typedef vector vl; typedef vector vvl; typedef vector vc; typedef vector vs; typedef vector vb; typedef vector vd; typedef pair P; typedef pair pii; typedef vector

vpl; typedef tuple tapu; #define rep(i,n) for(int i=0; i<(n); i++) #define REP(i,a,b) for(int i=(a); i<(b); i++) #define all(x) (x).begin(), (x).end() #define rall(x) (x).rbegin(), (x).rend() const int inf = (1<<30)-1; const ll linf = 1LL<<61; const int MAX = 2020000; int dy[8] = {0,1,0,-1,1,-1,-1,1}; int dx[8] = {-1,0,1,0,1,-1,1,-1}; const double pi = acos(-1); const double eps = 1e-7; template inline bool chmin(T1 &a,T2 b){ if(a>b){ a = b; return true; } else return false; } template inline bool chmax(T1 &a,T2 b){ if(a inline void print(T &a){ int sz = a.size(); for(auto itr = a.begin(); itr != a.end(); itr++){ cout << *itr; sz--; if(sz) cout << " "; } cout << "\n"; } template inline void print2(T1 a, T2 b){ cout << a << " " << b << "\n"; } template inline void print3(T1 a, T2 b, T3 c){ cout << a << " " << b << " " << c << "\n"; } void mark() {cout << "#" << "\n";} ll pcount(ll x) {return __builtin_popcountll(x);} //#include //using namespace atcoder; const int mod = 1e9 + 7; //const int mod = 998244353; vvl matmul(vvl &a, vvl &b){ vvl c(a.size(), vl(b[0].size())); for(int i=0; i 0){ if(n & 1) b = matmul(b,a); a = matmul(a,a); n >>= 1; } return b; } ll modpow(ll x, ll n, ll mod){ ll res = 1; while(n > 0){ if(n & 1) res = res * x % mod; x = x * x % mod; n >>= 1; } return res; } int main(){ int c,n,m; cin >> c >> n >> m; ll inv = modpow(c,mod-2,mod); ll cc = inv * (c-1) % mod; vvl a{ {0,0,1,0}, {0,0,0,1}, {0,inv,inv,0}, {cc,0,0,inv} }; auto res = matpow(a,n); ll ans = (res[0][0] + res[0][2] * inv % mod) % mod; ans = (1 - modpow(1-ans+mod,m,mod) + mod) % mod; cout << ans << "\n"; }