/* >>~~ UVa Online Judge ACM Problem Solution ~~<< ID: 10061 Name: How many zero's and how many digits ? Problem: https://onlinejudge.org/external/100/10061.pdf Language: C++ Author: Arash Shakery Email: arash.shakery@gmail.com */ #include #define INF 2147483647 using namespace std; int count(int n, int k) { int r = 0; for (int i=k, t; (t=n/i); i*=k) r += t; return r; } int TZ(int n, int b) { int r = INF, m=b; for (int i=2; i*i<=m; ++i) if (m%i == 0) { int c = 0; while (m%i == 0) m /= i, c++; r = min(r, count(n, i)/c); } if (m > 1) r = min(r, count(n, m)); return r; } double LF[(1<<20)+1]; int main() { ios_base::sync_with_stdio(0);cin.tie(0); for (int i=1; i<=(1<<20); ++i) LF[i] = LF[i-1] + log(i); int n, b; while (cin >> n >> b) { cout << TZ(n, b) << ' ' << int(LF[n]/log(b)+1) << endl; } }