#include //#include //#include //#include #define rep(i, a) for (int i = (int)0; i < (int)a; ++i) #define rrep(i, a) for (int i = (int)a - 1; i >= 0; --i) #define REP(i, a, b) for (int i = (int)a; i < (int)b; ++i) #define RREP(i, a, b) for (int i = (int)a - 1; i >= b; --i) #define pb push_back #define eb emplace_back #define all(x) x.begin(), x.end() #define rall(x) x.rbegin(), x.rend() #define popcount __builtin_popcount #define fi first #define se second using ll = long long; constexpr ll mod = 1e9 + 7; constexpr ll mod_998244353=998244353; constexpr ll INF = 1LL << 60; // #pragma GCC target("avx2") // #pragma GCC optimize("O3") // #pragma GCC optimize("unroll-loops") //using lll=boost::multiprecision::cpp_int; //using Double=boost::multiprecision::number>;//仮数部が1024桁 template inline bool chmin(T &a, T b) { if (a > b) { a = b; return true; } return false; } template inline bool chmax(T &a, T b) { if (a < b) { a = b; return true; } return false; } template T mypow(T x, T n, const T &p = -1) { //x^nをmodで割った余り if(p!=-1){ x%=p; } T ret = 1; while (n > 0) { if (n & 1) { if (p != -1) ret = (ret * x) % p; else ret *= x; } if (p != -1) x = (x * x) % p; else x *= x; n >>= 1; } return ret; } using namespace std; //using namespace atcoder; void solve() { ll n,k,m; cin>>n>>k>>m; if(n==1){ cout<<1<<"\n"; return; } auto divisor=[](ll n)->map{ mapres; for(ll i=2;i*i<=n;++i){ if(n%i==0){ ll cnt=0; while(n%i==0){ n/=i; ++cnt; } res[i]=cnt; } } if(n>1)res[n]=1; return res; }; auto mp=divisor(n); for(auto &x:mp){ x.second*=k; } auto itr=mp.begin(); setst; auto rec=[&](auto self,ll res,auto itr)->void{ ll val=itr->first; for(ll i=0;i<=mp[val];++i){ st.emplace(res); if(next(itr)!=mp.end()&&next(itr)->first<=m/res)self(self,res,next(itr)); if(res<=m/val)res*=val; else break; } }; rec(rec,1,mp.begin()); int ans=st.size(); cout<