#include #define SIZE 30 using namespace std; bool is_prime[SIZE]; vector prime; vector < pair > Factor; int N, B; const long double EPS = 1e-15; void sieve(){ memset(is_prime, true, sizeof is_prime); is_prime[0] = is_prime[1] = false; for(int it1 = 2; it1 < SIZE; it1++) if( is_prime[it1] ){ for(int it2 = it1 * it1; it2 < SIZE; it2 += it1) is_prime[it2] = false; prime.push_back(it1); } } void GetFactors(int n){ Factor.clear(); for(int it = 0; it < prime.size() and prime[it] <= n and n != 1; it++) if( n % prime[it] == 0 ){ int ct = 0; while( n % prime[it] == 0 ) n /= prime[it], ct++; Factor.push_back( make_pair(prime[it], ct) ); } if( n != 1 ) Factor.push_back( make_pair(n, 1) ); } int trailingZeros(){ int zeros = INT_MAX; for(int it = 0; it < Factor.size(); it++){ int p = Factor[it].first, e = 0; while( N / p ) e += N / p, p *= Factor[it].first; zeros = min(zeros, e / Factor[it].second); } return zeros; } inline long double logB(long double a,long double base){ return log10(a) / log10(base); } int NumberDigits(){ long double digits = 0; for(int it = 2; it <= N; it++) digits += logB( it, B); return ceil( digits + EPS ); } int main(){ sieve(); while(scanf("%d %d", &N, &B) == 2){ GetFactors(B); printf("%d %d\n", trailingZeros(), NumberDigits()); } return(0); }