#include #include typedef long long int ll; using namespace std; typedef pair P; using namespace atcoder; template using min_priority_queue = priority_queue, greater>; #define USE998244353 #ifdef USE998244353 const ll MOD = 998244353; using mint = modint998244353; #else const ll MOD = 1000000007; using mint = modint1000000007; #endif const int MAX = 2000005; long long fac[MAX], finv[MAX], inv[MAX]; void COMinit() { fac[0] = fac[1] = 1; finv[0] = finv[1] = 1; inv[1] = 1; for (int i = 2; i < MAX; i++){ fac[i] = fac[i - 1] * i % MOD; inv[i] = MOD - inv[MOD%i] * (MOD / i) % MOD; finv[i] = finv[i - 1] * inv[i] % MOD; } } long long COM(int n, int k){ if (n < k) return 0; if (n < 0 || k < 0) return 0; return fac[n] * (finv[k] * finv[n - k] % MOD) % MOD; } ll gcd(ll x, ll y) { if (y == 0) return x; else if (y > x) { return gcd (y, x); } else return gcd(x % y, y); } ll lcm(ll x, ll y) { return x / gcd(x, y) * y; } ll my_sqrt(ll x) { // ll m = 0; ll M = 3000000001; while (M - m > 1) { ll now = (M + m) / 2; if (now * now <= x) { m = now; } else { M = now; } } return m; } ll keta(ll num, ll arity) { ll ret = 0; while (num) { num /= arity; ret++; } return ret; } ll ceil(ll n, ll m) { // n > 0, m > 0 ll ret = n / m; if (n % m) ret++; return ret; } ll pow_ll(ll x, ll n) { if (n == 0) return 1; if (n % 2) { return pow_ll(x, n - 1) * x; } else { ll tmp = pow_ll(x, n / 2); return tmp * tmp; } } vector compress(vector& v) { // [3 5 5 6 1 1 10 1] -> [1 2 2 3 0 0 4 0] vector u = v; sort(u.begin(), u.end()); u.erase(unique(u.begin(),u.end()),u.end()); map mp; for (int i = 0; i < u.size(); i++) { mp[u[i]] = i; } for (int i = 0; i < v.size(); i++) { v[i] = mp[v[i]]; } return v; } int main() { int n; cin >> n; ll m, p; cin >> m >> p; vector a(n); vector opNum(n, 1); bool infinite = true; vector multiplyMax(30, 1); // in cost of i, how maxmize the ratio ll finisher = 1; for (int i = 0; i < n; i++) { cin >> a[i]; finisher = max(finisher, a[i]); while (a[i] % p == 0) { opNum[i]++; a[i] /= p; } if (a[i] > 1) infinite = false; } if (infinite) { if (finisher > m) { cout << 1 << endl; } else { cout << -1 << endl; } return 0; } for (int i = 0; i < n; i++) { for (int j = 1; j < 30; j++) { if (opNum[i] <= j) { multiplyMax[j] = max(multiplyMax[j], a[i]); } } } // for (int j = 1; j < 30; j++) { // cout << j << ' ' << multiplyMax[j] << endl; // } min_priority_queue> que; que.push({0, -1}); vector checked(30, false); while (true) { int opNum = que.top().first; ll value = -que.top().second; // cout << "hi " << opNum << ' ' << value << endl; if (value > m) { cout << opNum << endl; return 0; } if (value * finisher > m) { cout << opNum + 1 << endl; return 0; } que.pop(); if (checked[opNum]) continue; checked[opNum] = true; for (int i = 1; i < 30; i++) { que.push({opNum + i, -value * multiplyMax[i]}); } } return 0; }