#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #ifdef LOCAL # include "debug_print.hpp" # define debug(...) debug_print::multi_print(#__VA_ARGS__, __VA_ARGS__) #else # define debug(...) (static_cast(0)) #endif using namespace std; #define rep(i,n) for(decltype(n) i=0; i<(n); i++) #define rrep(i,n) for(decltype(n) i=(n)-1; i>=0; i--) #define FOR(i,a,b) for(decltype(a) i=(a); i<(b); i++) #define RFOR(i,a,b) for(decltype(b) i=(b-1); i>=(a); i--) #define ALL(v) v.begin(), v.end() #define RALL(v) v.rbegin(), v.rend() #define UNIQUE(v) v.erase( unique(v.begin(), v.end()), v.end() ); #define pb push_back using ll = long long; using D = double; using LD = long double; using P = pair; template using PQ = priority_queue>; template using minPQ = priority_queue, greater>; templatebool chmax(T &a, const T &b) { if (abool chmin(T &a, const T &b) { if (b ostream &operator<<(ostream &os, const pair &p) { os << p.first << " " << p.second; return os; } template istream &operator>>(istream &is, pair &p) { is >> p.first >> p.second; return is; } template ostream &operator<<(ostream &os, const vector &v) { int s = (int)v.size(); for (int i = 0; i < s; i++) os << (i ? " " : "") << v[i]; return os; } template istream &operator>>(istream &is, vector &v) { for (auto &x : v) is >> x; return is; } void in() {} template void in(T &t, U &...u) { cin >> t; in(u...); } void out() { cout << "\n"; } template void out(const T &t, const U &...u) { cout << t; if (sizeof...(u)) cout << sep; out(u...); } void outr() {} template void outr(const T &t, const U &...u) { cout << t; outr(u...); } int main(){ ios_base::sync_with_stdio(false); cin.tie(nullptr); ll n,m,p; in(n,m,p); m++; vector a(n); in(a); vector q(n),r(n); rep(i,n){ ll tmp = a[i]; while(tmp % p == 0){ tmp /= p; q[i]++; } r[i] = tmp; } if(accumulate(ALL(r),0LL) == n){ out("-1"); return 0; } vector qr(30, -1); rep(i,n){ if(qr[q[i]] == -1) qr[q[i]] = i; else if(r[qr[q[i]]] < r[i]) qr[q[i]] = i; } vector na,nq,nr; rep(i,30){ if(qr[i] != -1){ na.pb(a[i]); nq.pb(q[i]); nr.pb(r[i]); } } map mp; auto f = [&] (auto &&self, ll x) -> ll{ if(mp.count(x)) return mp[x]; ll res = 1e9; rep(i,na.size()){ if(x * na[i] >= m) { return mp[x] = 1; } else{ if(nr[i] == 1) continue; chmin(res, self(self, x*nr[i] ) + nq[i] + 1); } } return mp[x] = res; }; out(f(f,1)); }