#define _USE_MATH_DEFINES #include using namespace std; #define FOR(i,m,n) for(int i=(m);i<(n);++i) #define REP(i,n) FOR(i,0,n) #define ALL(v) (v).begin(),(v).end() using ll = long long; constexpr int INF = 0x3f3f3f3f; constexpr long long LINF = 0x3f3f3f3f3f3f3f3fLL; constexpr double EPS = 1e-8; constexpr int MOD = 1000000007; // constexpr int MOD = 998244353; constexpr int DY[]{1, 0, -1, 0}, DX[]{0, -1, 0, 1}; constexpr int DY8[]{1, 1, 0, -1, -1, -1, 0, 1}, DX8[]{0, -1, -1, -1, 0, 1, 1, 1}; template inline bool chmax(T& a, U b) { return a < b ? (a = b, true) : false; } template inline bool chmin(T& a, U b) { return a > b ? (a = b, true) : false; } struct IOSetup { IOSetup() { std::cin.tie(nullptr); std::ios_base::sync_with_stdio(false); std::cout << fixed << setprecision(20); } } iosetup; template std::vector> prime_factorization(T n) { std::vector> res; for (T i = 2; i * i <= n; ++i) { if (n % i != 0) continue; int exponent = 0; while (n % i == 0) { ++exponent; n /= i; } res.emplace_back(i, exponent); } if (n != 1) res.emplace_back(n, 1); return res; } ll f(ll n, ll p) { ll res = 0, m = p; while (true) { res += n / m; if (m > n / p) break; m *= p; } return res; } int main() { ll n, k, m; cin >> n >> k >> m; ll ans = LINF; for (const auto [p, ex] : prime_factorization(m)) { chmin(ans, (f(n, p) - f(k, p) - f(n - k, p)) / ex); } cout << ans << '\n'; return 0; }