//@formatter:off #include #define overload4(_1,_2,_3,_4,name,...) name #define rep1(i,n) for (ll i = 0; i < ll(n); ++i) #define rep2(i,s,n) for (ll i = ll(s); i < ll(n); ++i) #define rep3(i,s,n,d) for(ll i = ll(s); i < ll(n); i+=d) #define rep(...) overload4(__VA_ARGS__,rep3,rep2,rep1)(__VA_ARGS__) #define rrep(i,n) for (ll i = ll(n)-1; i >= 0; i--) #define all(a) a.begin(),a.end() #define rall(a) a.rbegin(),a.rend() #define popcount(x) __builtin_popcount(x) #define pb push_back #define eb emplace_back #ifdef __LOCAL #define debug(...) { cout << #__VA_ARGS__; cout << ": "; print(__VA_ARGS__); cout << flush; } #else #define debug(...) void(0) #endif #define INT(...) int __VA_ARGS__;scan(__VA_ARGS__) #define LL(...) ll __VA_ARGS__;scan(__VA_ARGS__) #define STR(...) string __VA_ARGS__;scan(__VA_ARGS__) #define CHR(...) char __VA_ARGS__;scan(__VA_ARGS__) #define DBL(...) double __VA_ARGS__;scan(__VA_ARGS__) #define LD(...) ld __VA_ARGS__;scan(__VA_ARGS__) using namespace std; using ll = long long; using ld = long double; using P = pair; using LP = pair; using vi = vector; using vvi = vector>; using vl = vector; using vvl = vector>; using vd = vector; using vvd = vector>; using vs = vector; using vc = vector; using vvc = vector>; using vb = vector; using vvb = vector>; using vp = vector

; using vvp = vector>; 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< void vecout(const vector &v,char div='\n') { rep(i,v.size()) cout< 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;} void scan(){} template void scan(Head& head, Tail&... tail){ cin >> head; scan(tail...); } template void print(const T& t){ cout << t << '\n'; } template void print(const Head& head, const Tail&... tail){ cout< void fin(const T&... a) { print(a...); exit(0); } const string yes[] = {"no","yes"}; const string Yes[] = {"No","Yes"}; const string YES[] = {"NO","YES"}; const int inf = 1001001001; const ll linf = 1001001001001001001; //@formatter:on int main() { ios::sync_with_stdio(false); cin.tie(nullptr); cout.tie(nullptr); LL(n, k, m); map mp; rep(b, 2, 31) { rep(a, 1, linf) { bool ok = true; ll now = 1; rep(i, b + 1) { ll l = a + i * k; if (now > linf / l) { ok = false; break; } now *= l; } if (!ok) break; if (now <= n) mp[now]++; } } auto g = [&](ll l) { int ok = 0, ng = inf; auto f = [&](int x) -> bool { if (x + k > linf / x) return false; return (ll) x * (x + k) <= l; }; while (abs(ok - ng) > 1) { int mid = (ng + ok) / 2; if (f(mid)) ok = mid; else ng = mid; } return (ll) ok * (ok + k) == l; }; ll ans = 0, l = 0; for (auto[val, cnt] : mp) { if (cnt > m) { if (g(val)) l++; continue; } if (cnt < m - 1) continue; if (cnt == m) { if (g(val)) l++; else ans++; } else { if (g(val)) ans++; } } if (m == 1) { int ok = 0, ng = inf; auto f = [&](int x) -> bool { if (x + k > linf / x) return false; return (ll) x * (x + k) <= n; }; while (abs(ok - ng) > 1) { int mid = (ng + ok) / 2; if (f(mid)) ok = mid; else ng = mid; } ans += ok - l; } print(ans); }