//@formatter:off #include #define rep(i,n) for (int i = 0; i < int(n); ++i) #define rrep(i,n) for (int i = int(n)-1; i >= 0; i--) #define rep2(i,s,n) for (int i = int(s); i < int(n); ++i) #define all(a) a.begin(),a.end() #define rall(a) a.rbegin(),a.rend() #define pb push_back #define eb emplace_back #define vi vector #define vvi vector> #define vl vector #define vvl vector> #define vd vector #define vvd vector> #define vs vector #define vc vector #define vvc vector> #define vb vector #define vvb vector> #define vp vector

#define vvp vector> using namespace std; using ll = long long; using P = pair; using LP = pair; template istream& operator>>(istream &is,pair &p) { return is >> p.first >> p.second; } template ostream& operator<<(ostream &os,const pair &p) { return os<<'{'< istream& operator>>(istream &is,vector &v) { for(T &t:v){is>>t;} return is; } template ostream& operator<<(ostream &os,const vector &v) { os<<'[';rep(i,v.size())os< bool chmin(T& a,T b) {if(a > b){a = b; return true;} return false;} template bool chmax(T& a,T b) {if(a < b){a = b; return true;} return false;} const int inf = 1001001001; const ll linf = 1001001001001001001; //@formatter:on constexpr int mod = 1000000007; //constexpr int mod = 998244353; struct mint { ll x; constexpr mint(ll x = 0) : x((x % mod + mod) % mod) {} constexpr mint operator-() const { return mint(-x); } constexpr mint &operator+=(const mint &a) { if ((x += a.x) >= mod) x -= mod; return *this; } constexpr mint &operator++() { return *this += mint(1); } constexpr mint &operator-=(const mint &a) { if ((x += mod - a.x) >= mod) x -= mod; return *this; } constexpr mint &operator--() { return *this -= mint(1); } constexpr mint &operator*=(const mint &a) { (x *= a.x) %= mod; return *this; } constexpr mint operator+(const mint &a) const { mint res(*this); return res += a; } constexpr mint operator-(const mint &a) const { mint res(*this); return res -= a; } constexpr mint operator*(const mint &a) const { mint res(*this); return res *= a; } constexpr mint pow(ll t) const { mint res = mint(1), a(*this); while (t > 0) { if (t & 1) res *= a; t >>= 1; a *= a; } return res; } // for prime mod constexpr mint inv() const { return pow(mod - 2); } constexpr mint &operator/=(const mint &a) { return *this *= a.inv(); } constexpr mint operator/(const mint &a) const { mint res(*this); return res /= a; } }; ostream &operator<<(ostream &os, const mint &a) { return os << a.x; } int main() { ios::sync_with_stdio(false); cin.tie(nullptr); cout.tie(nullptr); int m, n; ll k; cin >> n >> k >> m; mint ans = 0; if (m == 1) { mint now = 1; rep2(i, 1, n + 1) { if (k % i == 0) ans += now * mint(n).pow(n - i); now *= n - i; } } else { if (k < n) { ans = 1; rep(i, k - 1) ans *= n - i - 2; ans *= mint(n).pow(n - k); } mint temp = 1; rep2(i, 2, n + 1) { if (i > k) break; mint now = i; if (k % i == 0) now -= 1; if (i >= 3) temp *= n - i + 1; now *= temp; now *= mint(n).pow(n - i); ans += now; } } cout << ans << endl; }