// template version 1.12 using namespace std; #include #include // varibable settings #define infile "../test/sample-1.in" #define int long long //{{{ const int INF=1e18; const int MOD=1e9+7; //}}} int res=0; int n,k,m; map ps; vector> ps2; int prime_cnt; // define basic macro {{{ #define _overload3(_1,_2,_3,name,...) name #define _rep(i,n) repi(i,0,n) #define repi(i,a,b) for(int i=(int)(a);i<(int)(b);++i) #define rep(...) _overload3(__VA_ARGS__,repi,_rep,)(__VA_ARGS__) #define _rrep(i,n) rrepi(i,0,n) #define rrepi(i,a,b) for(int i=(int)((b)-1);i>=(int)(a);--i) #define rrep(...) _overload3(__VA_ARGS__,rrepi,_rrep,)(__VA_ARGS__) #define each(i,a) for (auto&& i : a) #define all(x) (x).begin(),(x).end() #define sz(x) ((int)(x).size()) #define pb(a) push_back(a) #define mp(a, b) make_pair(a, b) #define uni(x) sort(all(x));x.erase(unique(all(x)),x.end()) #define ub upper_bound #define lb lower_bound #define posl(A, x) (lower_bound(all(A), x)-A.begin()) #define posu(A, x) (upper_bound(all(A),x)-A.begin()) template inline void chmax(T &a, const T &b) { if((a) < (b)) (a) = (b); } template inline void chmin(T &a, const T &b) { if((a) > (b)) (a) = (b); } typedef long long ll; typedef vector vi; typedef vector vvi; typedef long double ld; typedef pair pii; typedef tuple iii; template using PQ = priority_queue, greater>; struct Fast { Fast(){ std::cin.tie(0); ios::sync_with_stdio(false); } } fast; #if defined(PCM) || defined(LOCAL) #include "lib/dump.hpp" #else #define dump(...) 42 #define dump_1d(...) 42 #define dump_2d(...) 42 #endif //}}} map prime_factor(int n) { // 素因数分解 (o(√N)){{{ map res; // vectorで持つことも考えられる。 for(int i = 2; i * i <= n; i++) { while(n % i == 0) { ++res[i]; n /= i; } } if (n != 1) res[n] += 1; return res; } // (参考)http://pakapa104.hatenablog.com/entry/2016/02/09/230443 //}}} int dfs(int i, int mul){ int v = ps2[i].first; int M = ps2[i].second; rep(j, M+1){ if (mul<=m) { if (i==prime_cnt-1){ res++; } else{ dfs(i+1, mul); } } mul *= v; if (mul>m) break; } return 0; } int solve(){ cin>>n>>k>>m; ps = prime_factor(n); each(p, ps){ if (p.first > m) continue; p.second *= k; ps2.pb(p); } dump(ps); dump(ps2); prime_cnt = sz(ps2); if (prime_cnt==0){ cout << 1 << endl; return 0; } dfs(0, 1); cout << res << endl; return 0; } signed main() { //{{{ #ifdef INPUT_FROM_FILE std::ifstream in(infile); std::cin.rdbuf(in.rdbuf()); #endif solve(); return 0; } //}}}