// use std::ops::{Index, IndexMut}; // use std::cmp::{Ordering, min, max}; // use std::collections::{BinaryHeap, BTreeMap}; // use std::collections::btree_map::Entry::{Occupied, Vacant}; // use std::clone::Clone; fn getline() -> String{ let mut res = String::new(); std::io::stdin().read_line(&mut res).ok(); res } macro_rules! readl { ($t: ty) => { { let s = getline(); s.trim().parse::<$t>().unwrap() } }; ($( $t: ty),+ ) => { { let s = getline(); let mut iter = s.trim().split(' '); ($(iter.next().unwrap().parse::<$t>().unwrap(),)*) } }; } macro_rules! readlvec { ($t: ty) => { { let s = getline(); let iter = s.trim().split(' '); iter.map(|x| x.parse().unwrap()).collect::>() } } } macro_rules! mvec { ($v: expr, $s: expr) => { vec![$v; $s] }; ($v: expr, $s: expr, $($t: expr),*) => { vec![mvec!($v, $($t),*); $s] }; } macro_rules! debug { ($x: expr) => { println!("{}: {:?}", stringify!($x), $x) } } fn printiter<'a, T>(v: &'a T) where &'a T: std::iter::IntoIterator, <&'a T as std::iter::IntoIterator>::Item: std::fmt::Display { for (i,e) in v.into_iter().enumerate() { if i != 0 { print!(" "); } print!("{}", e); } println!(""); } mod algebra { use std::ops::{Add, Mul, Neg, Sub, Div}; use std; pub trait Zero { fn zero(&self) -> Self; } pub trait Monoid: Add+Zero where Self : std::marker::Sized{ } pub trait Group: Monoid+Neg+Sub { } pub trait Ring: Group+Mul { } pub trait One { fn one(&self) -> Self; } pub trait Field: Ring+One+Div { } } fn baby_step_giant_step(x: T, r: T, ord: u64) -> Option where T: algebra::Group+std::clone::Clone+std::cmp::Ord { let mut res = None; let root = { let mut i = 0; while i*i <= ord { i += 1; } i+1 }; let mut baby_steps = Vec::with_capacity(root as usize); let mut giant_steps = Vec::with_capacity(root as usize); let mut giant_step = x.zero(); let rinv = -r.clone(); for _ in 0..root { giant_step = giant_step+rinv.clone(); } let mut b = x.zero(); let mut g = x; for i in 0..root { baby_steps.push(b.clone()); giant_steps.push((g.clone(), i)); g = g+giant_step.clone(); b = b+r.clone(); } giant_steps.sort(); let baby_steps = baby_steps; let giant_steps = giant_steps; for i in 0..root { let check = |p: usize| { baby_steps[i as usize] <= giant_steps[p].0 }; let lower_bound = { if !check(root as usize-1) { None } else if check(0) { Some(0) } else { let mut l = 0; let mut r = root as usize-1; while l+1 < r { let m = (l+r)/2; if check(m) { r = m; } else { l = m; } } Some(r) } }; match lower_bound { Some(p) if baby_steps[i as usize] == giant_steps[p].0 => { res = Some((root*giant_steps[p].1+i)%ord); break; }, _ => { }, } } res } #[derive(Clone, Debug)] struct Replacement{ v: Vec, } use std::cmp::*; impl std::cmp::PartialEq for Replacement { fn eq(&self, other: &Replacement) -> bool { self.v == other.v } } impl Eq for Replacement {} impl PartialOrd for Replacement { fn partial_cmp(&self, other: &Self) -> Option { self.v.partial_cmp(&other.v) } } impl Ord for Replacement { fn cmp(&self, other: &Self) -> Ordering { self.v.cmp(&other.v) } } impl Replacement { fn dfs(&self, used: &mut Vec, p: usize) -> u64 { if used[p] { 0 } else { used[p] = true; self.dfs(used, self.v[p])+1 } } fn get_ord(&self) -> u64 { let n = self.v.len(); let mut used = vec![false; n]; let mut res = 1; for i in 0..n { let ret = self.dfs(&mut used, i); if ret != 0 { res = lcm(res, ret); } } res } } impl std::ops::Add for Replacement { type Output = Self; fn add(self, rhs: Self) -> Self { assert!(rhs.v.len() == self.v.len()); let n = self.v.len(); let mut res = vec![0; n]; for i in 0..n { res[i] = self.v[rhs.v[i]]; } Replacement { v: res } } } impl std::ops::Neg for Replacement { type Output = Self; fn neg(self) -> Replacement { let n = self.v.len(); let mut res = vec![0;n]; for i in 0..n { res[self.v[i]] = i; } Replacement{ v: res } } } impl std::ops::Sub for Replacement { type Output = Self; fn sub(self, rhs: Replacement) -> Replacement { self+(-rhs) } } impl algebra::Zero for Replacement { fn zero(&self) -> Self { Replacement{ v: (0..self.v.len()).collect(), } } } impl algebra::Monoid for Replacement {} impl algebra::Group for Replacement {} fn gcd(x: u64, y: u64) -> u64 { if y == 0 { x } else { gcd(y, x%y) } } fn lcm(x: u64, y: u64) -> u64 { x*y / gcd(x, y) } fn main() { let n = readl!(usize); let k = readl!(usize); let mut v: Vec<_> = (0..n).collect(); for _ in 0..k { let (x, y) = readl!(usize, usize); v.swap(x-1, y-1); } let r = Replacement{v: v}; // debug!(r.clone()-r.clone()); let ord = r.get_ord(); // debug!(ord); let q = readl!(usize); for _ in 0..q { let a = Replacement { v: readlvec!(usize).into_iter().map(|x| x-1).collect(), }; let log = baby_step_giant_step(a, r.clone(), ord); if let Some(log) = log { if log == 0 { println!("{}", log+ord); } else { println!("{}", log); } } else { println!("-1"); } } }