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Cod sursa(job #31315)
#include <algorithm>
#include <iostream>
#include <iterator>
#include <list>
#include <map>
#include <queue>
#include <set>
#include <sstream>
#include <string>
#include <vector>
#include <cassert>
#include <cstdio>
#include <cstdlib>
#include <cmath>
#include <cctype>
#include <cstring>
#define ALL(x) (x).begin(), (x).end()
#define CLEAR(X) (memset(X, 0, sizeof(X)))
#define FORI(it, x) for (__typeof((x).begin()) it = (x).begin(); it != (x).end(); ++it)
#define FOR(i, N, M) for (int i = (int)(N); i <= (int)(M); ++i)
#define REP(i, N) for (int i = 0; i < (int)(N); ++i)
#define SIZE(X) (int)((X).size())
#define TIPA(a, i) (cerr << #a << "[" #i " = " << (i) << "] = " << (a)[i] << endl)
#define TIP(x) (cerr << #x << " = " << (x) << endl)
#define MP make_pair
#define PB push_back
#define INF 0x3f3f3f3f
typedef unsigned long long ULL;
using namespace std;
int N, B;
int nr, p[32], e[32];
ULL R;
/*
int k = N/p[i], r = p[i]*(k-1)*k/2;
r += (N - k*p[i] + 1) * k;
*/
ULL baga(ULL N, ULL x)
{
ULL r = 0, k;
for (ULL p = x; p <= N; p *= x)
{
k = N/p, r += p*(k-1)*k/2;
r += (N - k*p + 1)*k;
}
return r;
}
int main(void)
{
freopen("zero2.in", "r", stdin);
freopen("zero2.out", "w", stdout);
REP(t, 10)
{
scanf("%d %d", &N, &B);
memset(e, 0, sizeof(e));
memset(&R, 0xFF, sizeof(R));
nr = 0;
for (int i = 2; i * i <= B; i ++)
if (B%i == 0)
{
p[nr] = i;
for (; B%i == 0; B /= i) ++ e[nr];
++ nr;
}
if (B > 1)
p[nr] = B, e[nr] = 1, ++ nr;
REP(i, nr)
{
ULL r = baga(N, p[i]);
if (R > r/(ULL)e[i])
R = r/(ULL)e[i];
}
printf("%lld\n", R);
}
return 0;
}