#include #include #include #include #include #include #include #include #include #include #include #include #include #define debug_value(x) cerr << "line" << __LINE__ << ":<" << __func__ << ">:" << #x << "=" << x << endl; #define debug(x) cerr << "line" << __LINE__ << ":<" << __func__ << ">:" << x << endl; template inline bool chmax(T& a, T b) { if (a < b) { a = b; return 1; } return 0; } template inline bool chmin(T& a, T b) { if (a > b) { a = b; return 1; } return 0; } using namespace std; typedef long long ll; template vector> vec2d(int n, int m, T v){ return vector>(n, vector(m, v)); } template vector>> vec3d(int n, int m, int k, T v){ return vector>>(n, vector>(m, vector(k, v))); } template void print_vector(vector v, char delimiter=' '){ if(v.empty()) { cout << endl; return; } for(int i = 0; i+1 < v.size(); i++) cout << v[i] << delimiter; cout << v.back() << endl; } using P = pair; vector

factorize(ll x){ ll y = x; vector

ans; for(ll p = 2; p*p <= x; p++){ int cnt = 0; while(y%p == 0){ y /= p; cnt++; } if(cnt != 0){ ans.push_back(P(p, cnt)); } } if(y != 1) ans.push_back(P(y, 1)); return ans; } // x!がpで何回割り切れるか ll count(ll x, ll p){ ll cur = p; ll ans = 0; while(true){ ans += x/cur; if(cur > x/p) break; cur *= p; } return ans; } ll inf = 2e18; int main(){ ios::sync_with_stdio(false); cin.tie(0); cout << setprecision(10) << fixed; ll n, k, m; cin >> n >> k >> m; ll ans = inf; auto v = factorize(m); for(auto [p, cnt]: v){ ll x = count(n, p) - count(k, p) - count(n-k, p); chmin(ans, x/cnt); } cout << ans << endl; }