#![allow(unused_imports, unused_macros, dead_code)] use std::cmp::*; use std::collections::*; macro_rules! min { (.. $x:expr) => {{ let mut it = $x.iter(); it.next().map(|z| it.fold(z, |x, y| min!(x, y))) }}; ($x:expr) => ($x); ($x:expr, $($ys:expr),*) => {{ let t = min!($($ys),*); if $x < t { $x } else { t } }} } macro_rules! max { (.. $x:expr) => {{ let mut it = $x.iter(); it.next().map(|z| it.fold(z, |x, y| max!(x, y))) }}; ($x:expr) => ($x); ($x:expr, $($ys:expr),*) => {{ let t = max!($($ys),*); if $x > t { $x } else { t } }} } macro_rules! trace { ($x:expr) => { #[cfg(debug_assertions)] eprintln!(">>> {} = {:?}", stringify!($x), $x) }; ($($xs:expr),*) => { trace!(($($xs),*)) } } macro_rules! put { (.. $x:expr) => {{ let mut it = $x.iter(); if let Some(x) = it.next() { print!("{}", x); } for x in it { print!(" {}", x); } println!(""); }}; ($x:expr) => { println!("{}", $x) }; ($x:expr, $($xs:expr),*) => { print!("{} ", $x); put!($($xs),*) } } fn main() { let mut sc = Scanner::new(); let n: usize = sc.cin(); let m: u128 = sc.cin(); let p: u128 = sc.cin(); let mut xs = vec![]; const M: usize = 100_000; let mut memo = vec![1; M]; for _ in 0..n { let x: u128 = sc.cin(); let mut z = x; let mut a = 0; while z % p == 0 { a += 1; z /= p; } if z > 1 { xs.push((x, z, a)); } } trace!(&xs); let mut ans = M * 10; for k in 0..400 { for &(x, z, a) in xs.iter() { if k + 1 + a < M { if memo[k + 1 + a] > m || memo[k] > m { continue; } if memo[k] * x > m { ans = min!(ans, k + 1); } // trace!(memo[k], x); memo[k + 1 + a] = max!(memo[k + 1 + a], memo[k] * z); if memo[k + 1 + a] > m { ans = min!(ans, k + 1 + a); } } } } if ans == M * 10 { put!(-1); } else { put!(ans); } } use std::collections::VecDeque; use std::io::{self, Write}; use std::str::FromStr; struct Scanner { stdin: io::Stdin, buffer: VecDeque, } impl Scanner { fn new() -> Self { Scanner { stdin: io::stdin(), buffer: VecDeque::new(), } } fn cin(&mut self) -> T { while self.buffer.is_empty() { let mut line = String::new(); let _ = self.stdin.read_line(&mut line); for w in line.split_whitespace() { self.buffer.push_back(String::from(w)); } } self.buffer.pop_front().unwrap().parse::().ok().unwrap() } fn chars(&mut self) -> Vec { self.cin::().chars().collect() } fn vec(&mut self, n: usize) -> Vec { (0..n).map(|_| self.cin()).collect() } } fn flush() { std::io::stdout().flush().unwrap(); }