#pragma region #pragma GCC target("avx2") #pragma GCC optimize("03") #pragma GCC optimize("unroll-loops") #include using namespace std; typedef long double ld; typedef long long ll; typedef unsigned long long ull; #define endl "\n" #define FOR(i,a,b) for(int i=(a);i<=(b);i++) #define rep(i,a,b) for(int i=(a);i<(b);i++) #define PII pair #define PLL pair #define ALL(x) (x).begin(), (x).end() constexpr int INF=1<<30; constexpr ll LINF=1LL<<60; constexpr ll mod=1e9+7; constexpr int NIL = -1; templateinline bool chmax(T &a, const T &b) { if (ainline bool chmin(T &a, const T &b) { if (b prime_fac(ll x) { map ans; for(int i=2;i*i<=x; i++) { while(x%i==0) { ans[i]++; x /= i; } } if(x!=1) ans[x]++; return ans; } vector prime; vector cnt; map ans; void dfs(int i, ll cur, ll m) { if(i >= cnt.size()) return; ll x = 1; ll k = 0; while(cur * x <= m and k <= cnt[i]) { if(i < prime.size()-1) dfs(i+1, cur*x, m); else ans[cur*x]++; x *= prime[i]; k++; } } int main(){ cin.tie(0); ios::sync_with_stdio(false); //cout << fixed << setprecision(15); ll n,k,m; cin >> n >> k >> m; auto mp = prime_fac(n); for(auto &[k1,v1]:mp) { prime.emplace_back(k1); cnt.emplace_back(v1*k); } ll res = 0; if(cnt.size() ==0) { res = 1; } else{ dfs(0, 1, m); for(auto _: ans) res++; } cout << res << endl; return 0; }