use std::io::{BufRead, BufReader, BufWriter, Write}; use std::{str::FromStr, iter::FromIterator, fmt::Display}; pub struct ProconIo<'a> { pub reader: BufReader>, pub writer: BufWriter>, } impl ProconIo<'_> { pub fn get_input(&mut self) -> String { let mut input = String::new(); self.reader.read_line(&mut input).ok(); input } pub fn read(&mut self) -> T { self.get_input().trim().parse().ok().unwrap() } pub fn read_col>(&mut self) -> C { self.get_input() .split_whitespace() .map(|x| x.parse().ok().unwrap()) .collect() } pub fn read_chars>(&mut self) -> C { self.get_input().trim().chars().collect() } pub fn writeln(&mut self, x: T) { writeln!(self.writer, "{}", x).ok(); } pub fn writeln_col(&mut self, c: C) where C::Item: Display, { self.writeln( c.into_iter() .map(|x| x.to_string()) .collect::>() .join(" ") ) } } #[allow(unused_macros)] macro_rules! read_tuple { ( $io:expr, $( $t:ty ),* ) => {{ let input = $io.get_input(); let mut iter = input.split_whitespace(); ( $( iter.next().unwrap().parse::<$t>().unwrap() ),* ) }}; } use std::mem::swap; fn safe_mod(mut x: i64, m: i64) -> i64 { x %= m; if x < 0 { x + m } else { x } } fn inv_gcd(a: i64, b: i64) -> (i64, i64) { let a = safe_mod(a, b); if a == 0 { return (b, 0); } let (mut s, mut t) = (b, a); let (mut m0, mut m1) = (0, 1); while t != 0 { let u = s / t; s -= t * u; m0 -= m1 * u; swap(&mut s, &mut t); swap(&mut m0, &mut m1); } (s, if m0 < 0 { m0 + b / s } else { m0 }) } fn solve(io: &mut ProconIo) { const MOD: i64 = 1_000_000_007; let (x, k) = read_tuple!(io, i64, i64); let pow = |mut a: i64, mut n: i64| -> i64 { let mut res = 1; while n > 0 { if n & 1 > 0 { res = res * a % MOD; } a = a * a % MOD; n >>= 1; } res }; io.writeln(pow(x, inv_gcd(k, MOD - 1).1)); } fn main() { let stdin = std::io::stdin(); let stdout = std::io::stdout(); let mut io = ProconIo { reader: BufReader::new(stdin.lock()), writer: BufWriter::new(stdout.lock()), }; for _ in 0..io.read::() { solve(&mut io); } }