// https://qiita.com/tanakh/items/0ba42c7ca36cd29d0ac8 macro_rules! input { ($($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 ; $len:expr ]) => { (0..$len).map(|_| read_value!($next, $t)).collect::>() }; ($next:expr, $t:ty) => ($next().parse::<$t>().expect("Parse error")); } const B: usize = 60; // #powers <= x fn calc(x: i64, moe: &[i64]) -> i64 { let mut tot = 1; for b in 2..60 { if moe[b] == 0 { continue; } let mut pass = 1; let mut fail = 1i64 << ((60 + b - 1) / b); while fail - pass > 1 { let mid = (pass + fail) / 2; let mut tmp = mid; for _ in 1..b { tmp = tmp.saturating_mul(mid); } if tmp <= x { pass = mid; } else { fail = mid; } } tot += -(pass - 1) * moe[b]; } tot } // Tags: inclusion-exclusion-on-divisors fn main() { input! { t: usize, a: [i64; t], } let mut moe = vec![0; B]; moe[1] = 1; for i in 1..B { for j in 2..(B - 1) / i + 1 { moe[i * j] -= moe[i]; } } for k in a { let mut pass = k * k; let mut fail = 0; while pass - fail > 1 { let mid = (pass + fail) / 2; if calc(mid, &moe) >= k { pass = mid; } else { fail = mid; } } println!("{}", pass); } }