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),* )) => { ($(read_value!($next, $t)),*) }; ($next:expr, [ $t:tt ; $len:expr ]) => { (0..$len).map(|_| read_value!($next, $t)).collect::>() }; ($next:expr, $t:ty) => ($next().parse::<$t>().expect("Parse error")); } fn main() { let out = std::io::stdout(); let mut out = BufWriter::new(out.lock()); macro_rules! puts {($($format:tt)*) => (let _ = write!(out,$($format)*););} input! { t: usize, plr: [(i32, i32, i32); t], } const W: usize = 400_100; let mut fac = vec![0; W]; for i in 2..W { if fac[i] != 0 { continue; } fac[i] = i; for j in 2..(W - 1) / i + 1 { fac[i * j] = i; } } let mut acc = vec![0; W]; for i in 2..W { let mut me = 0; let mut v = i; let mut f = vec![]; while v > 1 { let p = fac[v]; let mut e = 0; while v % p == 0 { v /= p; e += 1; } f.push(e); } if f.len() >= 3 { me = 1; } if f.len() == 2 && f[0] + f[1] >= 3 { me = 1; } if f.len() == 1 && f[0] >= 4 { me = 1; } acc[i] = acc[i - 1] + me; } let lower = |x: i32| { if x >= 0 { 1 + acc[x as usize] } else { -acc[(-x - 1) as usize] } }; for (p, l, r) in plr { puts!("{}\n", lower(r - p) - lower(l - p - 1)); } }