#![allow(unused_imports)] #![allow(non_snake_case, unused)] // https://qiita.com/tanakh/items/0ba42c7ca36cd29d0ac8 macro_rules! input { (source = $s:expr, $($r:tt)*) => { let mut iter = $s.split_whitespace(); let mut next = || { iter.next().unwrap() }; input_inner!{next, $($r)*} }; ($($r:tt)*) => { let stdin = std::io::stdin(); let mut bytes = std::io::Read::bytes(std::io::BufReader::new(stdin.lock())); let mut next = move || -> String{ bytes .by_ref() .map(|r|r.unwrap() as char) .skip_while(|c|c.is_whitespace()) .take_while(|c|!c.is_whitespace()) .collect() }; input_inner!{next, $($r)*} }; } macro_rules! input_inner { ($next:expr) => {}; ($next:expr, ) => {}; ($next:expr, $var:ident : $t:tt $($r:tt)*) => { let $var = read_value!($next, $t); input_inner!{$next $($r)*} }; } macro_rules! read_value { ($next:expr, ( $($t:tt),* )) => { ( $(read_value!($next, $t)),* ) }; ($next:expr, [ $t:tt ; $len:expr ]) => { (0..$len).map(|_| read_value!($next, $t)).collect::>() }; ($next:expr, chars) => { read_value!($next, String).chars().collect::>() }; ($next:expr, usize1) => { read_value!($next, usize) - 1 }; ($next:expr, $t:ty) => { $next().parse::<$t>().expect("Parse error") }; } use std::io::Write; use std::collections::*; use std::cmp::*; use std::ops::*; use std::marker::*; const INF: i64 = std::i64::MAX/100; const MOD: i64 = 1_000_000_007; // const MOD: i64 = 998244353; struct SieveOfEratosthenes { primes: Vec, divs: Vec, } impl SieveOfEratosthenes { pub fn new(n: usize) -> Self { let mut divs = vec![1;n+1]; for i in 2..=n { if divs[i]!=1 { continue; } for j in 1..=n { let val = i*j; if val>n { break; } divs[val as usize] = i; } } let mut primes = divs.iter() .enumerate() .filter(|x| *x.1>1 && x.0==*x.1) .map(|x| *x.1) .collect::>(); SieveOfEratosthenes { divs, primes, } } pub fn factors(&self, n: usize) -> Vec<(usize,usize)> { assert!(n+1<=self.divs.len()); let mut ans = vec![]; let mut x = n; while x > 1 { let nxt = self.divs[x]; ans.push(nxt); x /= nxt; } let mut map = HashMap::::new(); for &a in &ans { *map.entry(a).or_insert(0) += 1; } let mut ret = vec![]; for (&k,&v) in map.iter() { ret.push((k,v)); } ret } } fn main() { input! { t: usize, k: [i64;t], } let p = SieveOfEratosthenes::new(100); let mut list = vec![0;100]; for i in 2..100 { let mut v = p.factors(i); let mut count = 0; let mut u = 1; for &(a,b) in &v { if b>=2 { u = 0; break; } count += 1; } if u!=0 && count%2==1 { u = -1; } list[i] = u; } for &k in &k { let mut left = 0; let mut right = 10_i64.pow(18)*2; while right-left>1 { let mid = (left+right)/2; let ret = judge(mid,&list); if ret >= k { right = mid; } else { left = mid; } } println!("{}",right); } } fn judge(x: i64, list: &Vec) -> i64 { let mut ret = 1; for i in 2..=70 { let q = (x as f64).powf(1.0/i as f64) as i64; let mut r = 0; for j in (max(2,q-10)..=q+10).rev() { let mut base = 1; let mut flag = true; for k in 0..i { if base > x/j { flag = false; break; } base *= j; } if flag { r = j; break; } } if r==0 { break; } ret -= list[i]*(r-1); } ret }