use std::io::{Write, BufWriter}; // 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::<$t>().expect("Parse error")); } // https://yukicoder.me/problems/no/2249 (3) fn main() { let out = std::io::stdout(); let mut out = BufWriter::new(out.lock()); macro_rules! puts {($($format:tt)*) => (let _ = write!(out,$($format)*););} input! { n: usize, a: [usize; n], } const W: usize = 10_000_001; let mut phi = vec![0i64; W]; let mut pr = vec![true; W]; pr[0] = false; pr[1] = false; for i in 2..W { phi[i] = i as i64; } for i in 2..W { if !pr[i] { continue; } phi[i] = i as i64 - 1; for j in 2..=(W - 1) / i { pr[i * j] = false; phi[i * j] /= i as i64; phi[i * j] *= i as i64 - 1; } } let mut acc = vec![0i64; W]; for i in 2..W { acc[i] = acc[i - 1] + (i as i64 - 1) * 2 - phi[i]; } for a in a { puts!("{}\n", acc[a]); } }