#include using namespace std; #define rep(i,n) for(int (i)=0;(i)<(n);(i)++) #define rep3(i,m,n) for(int (i)=m;(i)<=(n);(i)++) #define rep3rev(i,m,n) for(int (i)=m;(i)>=(n);(i)--) #define all(a) (a.begin()),(a.end()) #define rall(a) (a.rbegin()),(a.rend()) #define fi first #define se second #define pb push_back #define eb emplace_back using ll = long long; using vll = vector; using vi = vector; using vvi = vector>; using P = pair; /*** mod int ***/ // auto mod int // https://youtu.be/L8grWxBlIZ4?t=9858 // https://youtu.be/ERZuLAxZffQ?t=4807 : optimize // https://youtu.be/8uowVvQ_-Mo?t=1329 : division const int mod = 1000000007; // const int mod = 998244353; struct mint { ll x; // typedef long long ll; mint(ll x=0):x((x%mod+mod)%mod){} mint operator-() const { return mint(-x);} mint& operator+=(const mint a) { if ((x += a.x) >= mod) x -= mod; return *this; } mint& operator-=(const mint a) { if ((x += mod-a.x) >= mod) x -= mod; return *this; } mint& operator*=(const mint a) { (x *= a.x) %= mod; return *this;} mint operator+(const mint a) const { return mint(*this) += a;} mint operator-(const mint a) const { return mint(*this) -= a;} mint operator*(const mint a) const { return mint(*this) *= a;} mint pow(ll t) const { if (!t) return 1; mint a = pow(t>>1); a *= a; if (t&1) a *= *this; return a; } // for prime mod mint inv() const { return pow(mod-2);} mint& operator/=(const mint a) { return *this *= a.inv();} mint operator/(const mint a) const { return mint(*this) /= a;} }; istream& operator>>(istream& is, mint& a) { return is >> a.x;} ostream& operator<<(ostream& os, const mint& a) { return os << a.x;} /*** mod int ここまで ***/ // combination mod prime // https://www.youtube.com/watch?v=8uowVvQ_-Mo&feature=youtu.be&t=1619 struct combination { vector fact, ifact; combination(int n):fact(n+1),ifact(n+1) { assert(n < mod); fact[0] = 1; for (int i = 1; i <= n; ++i) fact[i] = fact[i-1]*i; ifact[n] = fact[n].inv(); for (int i = n; i >= 1; --i) ifact[i-1] = ifact[i]*i; } mint operator()(int n, int k) { if (k < 0 || k > n) return 0; return fact[n]*ifact[k]*ifact[n-k]; } } comb(500005); void Main(){ ll n, k, m; cin >> n >> k >> m; mint ans = 0; for(ll i = 1; i <= n; i++){ if(k % i == 0) { ans += comb.fact[n-1] * comb.ifact[n-i] * ((mint) n).pow(n-i); // cout << i << ": "; // cout << comb.fact[n-1] * comb.ifact[n-i] * ((mint) n).pow(n-i) << endl; } } mint tot = ((mint) n).pow(n); if(m != 1) ans = (tot - ans) / (n-1); cout << ans << endl; return; } int main(){ cin.tie(nullptr); ios_base::sync_with_stdio(false); cout << fixed << setprecision(15); Main(); return 0; }