#![allow(non_snake_case)] #![allow(unused_imports)] #![allow(unused_macros)] #![allow(clippy::needless_range_loop)] #![allow(clippy::comparison_chain)] #![allow(clippy::nonminimal_bool)] #![allow(clippy::neg_multiply)] #![allow(dead_code)] use std::cmp::Reverse; use std::collections::{BTreeMap, BTreeSet, BinaryHeap, VecDeque}; const INF: usize = 1_usize << 60; #[derive(Default)] struct Solver {} impl Solver { fn solve(&mut self) { input! { N: usize, _A: usize, mut X: [usize; N], T: usize, mut LR: [(usize, usize); T] } let mut v = vec![]; for &x in &X { v.push(x); } for &(l, r) in &LR { v.push(l); v.push(r); } let mp = coordinate_compression(v); let A = *mp.last_key_value().unwrap().1 + 1; for i in 0..N { X[i] = mp[&X[i]]; } for i in 0..T { LR[i] = (mp[&LR[i].0], mp[&LR[i].1]); } let a = vec![INF; A + 1]; let mut seg: LazySegtree = a.into(); for (t, &(l, r)) in LR.iter().enumerate() { seg.apply_range(l..=r, t + 1); } for &x in &X { let ans = seg.get(x); if ans == INF { println!("-1"); } else { println!("{}", ans); } } } } fn coordinate_compression(v: Vec) -> BTreeMap { let mut vv = v; vv.sort(); vv.dedup(); let ret = vv.iter().enumerate().map(|(i, &s)| (s, i)).collect(); ret } struct Mono; impl Monoid for Mono { type S = usize; fn identity() -> Self::S { INF } fn binary_operation(a: &Self::S, b: &Self::S) -> Self::S { *a.min(b) } } impl MapMonoid for Mono { type M = Mono; type F = usize; fn identity_map() -> Self::F { INF } fn mapping(&f: &usize, &x: &usize) -> usize { if f == INF { x } else { f } } fn composition(&f: &usize, &g: &usize) -> usize { if f == INF { g } else { f } } } fn ceil_pow2(n: u32) -> u32 { 32 - n.saturating_sub(1).leading_zeros() } pub trait Integral: 'static + Send + Sync + Copy + Ord + std::ops::Not + std::ops::Add + std::ops::Sub + std::ops::Mul + std::ops::Div + std::ops::Rem + std::ops::AddAssign + std::ops::SubAssign + std::ops::MulAssign + std::ops::DivAssign + std::ops::RemAssign + std::iter::Sum + std::iter::Product + std::ops::BitOr + std::ops::BitAnd + std::ops::BitXor + std::ops::BitOrAssign + std::ops::BitAndAssign + std::ops::BitXorAssign + std::ops::Shl + std::ops::Shr + std::ops::ShlAssign + std::ops::ShrAssign + std::fmt::Display + std::fmt::Debug + std::fmt::Binary + std::fmt::Octal + Zero + One + BoundedBelow + BoundedAbove { } /// Class that has additive identity element pub trait Zero { /// The additive identity element fn zero() -> Self; } /// Class that has multiplicative identity element pub trait One { /// The multiplicative identity element fn one() -> Self; } pub trait BoundedBelow { fn min_value() -> Self; } pub trait BoundedAbove { fn max_value() -> Self; } macro_rules! impl_integral { ($($ty:ty),*) => { $( impl Zero for $ty { #[inline] fn zero() -> Self { 0 } } impl One for $ty { #[inline] fn one() -> Self { 1 } } impl BoundedBelow for $ty { #[inline] fn min_value() -> Self { Self::min_value() } } impl BoundedAbove for $ty { #[inline] fn max_value() -> Self { Self::max_value() } } impl Integral for $ty {} )* }; } impl_integral!(i8, i16, i32, i64, i128, isize, u8, u16, u32, u64, u128, usize); pub trait Monoid { type S: Clone; fn identity() -> Self::S; fn binary_operation(a: &Self::S, b: &Self::S) -> Self::S; } pub struct Max( std::convert::Infallible, std::marker::PhantomData S>, ); impl Monoid for Max where S: Copy + Ord + BoundedBelow, { type S = S; fn identity() -> Self::S { S::min_value() } fn binary_operation(a: &Self::S, b: &Self::S) -> Self::S { std::cmp::max(*a, *b) } } pub struct Min( std::convert::Infallible, std::marker::PhantomData S>, ); impl Monoid for Min where S: Copy + Ord + BoundedAbove, { type S = S; fn identity() -> Self::S { S::max_value() } fn binary_operation(a: &Self::S, b: &Self::S) -> Self::S { std::cmp::min(*a, *b) } } pub struct Additive( std::convert::Infallible, std::marker::PhantomData S>, ); impl Monoid for Additive where S: Copy + std::ops::Add + Zero, { type S = S; fn identity() -> Self::S { S::zero() } fn binary_operation(a: &Self::S, b: &Self::S) -> Self::S { *a + *b } } pub struct Multiplicative( std::convert::Infallible, std::marker::PhantomData S>, ); impl Monoid for Multiplicative where S: Copy + std::ops::Mul + One, { type S = S; fn identity() -> Self::S { S::one() } fn binary_operation(a: &Self::S, b: &Self::S) -> Self::S { *a * *b } } pub struct BitwiseOr( std::convert::Infallible, std::marker::PhantomData S>, ); impl Monoid for BitwiseOr where S: Copy + std::ops::BitOr + Zero, { type S = S; fn identity() -> Self::S { S::zero() } fn binary_operation(a: &Self::S, b: &Self::S) -> Self::S { *a | *b } } pub struct BitwiseAnd( std::convert::Infallible, std::marker::PhantomData S>, ); impl Monoid for BitwiseAnd where S: Copy + std::ops::BitAnd + std::ops::Not + Zero, { type S = S; fn identity() -> Self::S { !S::zero() } fn binary_operation(a: &Self::S, b: &Self::S) -> Self::S { *a & *b } } pub struct BitwiseXor( std::convert::Infallible, std::marker::PhantomData S>, ); impl Monoid for BitwiseXor where S: Copy + std::ops::BitXor + Zero, { type S = S; fn identity() -> Self::S { S::zero() } fn binary_operation(a: &Self::S, b: &Self::S) -> Self::S { *a ^ *b } } pub trait MapMonoid { type M: Monoid; type F: Clone; // type S = ::S; fn identity_element() -> ::S { Self::M::identity() } fn binary_operation( a: &::S, b: &::S, ) -> ::S { Self::M::binary_operation(a, b) } fn identity_map() -> Self::F; fn mapping(f: &Self::F, x: &::S) -> ::S; fn composition(f: &Self::F, g: &Self::F) -> Self::F; } impl Default for LazySegtree { fn default() -> Self { Self::new(0) } } impl LazySegtree { pub fn new(n: usize) -> Self { vec![F::identity_element(); n].into() } } impl From::S>> for LazySegtree { fn from(v: Vec<::S>) -> Self { let n = v.len(); let log = ceil_pow2(n as u32) as usize; let size = 1 << log; let mut d = vec![F::identity_element(); 2 * size]; let lz = vec![F::identity_map(); size]; d[size..(size + n)].clone_from_slice(&v); let mut ret = LazySegtree { n, size, log, d, lz, }; for i in (1..size).rev() { ret.update(i); } ret } } impl LazySegtree { pub fn set(&mut self, mut p: usize, x: ::S) { assert!(p < self.n); p += self.size; for i in (1..=self.log).rev() { self.push(p >> i); } self.d[p] = x; for i in 1..=self.log { self.update(p >> i); } } pub fn get(&mut self, mut p: usize) -> ::S { assert!(p < self.n); p += self.size; for i in (1..=self.log).rev() { self.push(p >> i); } self.d[p].clone() } pub fn prod(&mut self, range: R) -> ::S where R: RangeBounds, { // Trivial optimization if range.start_bound() == Bound::Unbounded && range.end_bound() == Bound::Unbounded { return self.all_prod(); } let mut r = match range.end_bound() { Bound::Included(r) => r + 1, Bound::Excluded(r) => *r, Bound::Unbounded => self.n, }; let mut l = match range.start_bound() { Bound::Included(l) => *l, Bound::Excluded(l) => l + 1, // TODO: There are another way of optimizing [0..r) Bound::Unbounded => 0, }; assert!(l <= r && r <= self.n); if l == r { return F::identity_element(); } l += self.size; r += self.size; for i in (1..=self.log).rev() { if ((l >> i) << i) != l { self.push(l >> i); } if ((r >> i) << i) != r { self.push(r >> i); } } let mut sml = F::identity_element(); let mut smr = F::identity_element(); while l < r { if l & 1 != 0 { sml = F::binary_operation(&sml, &self.d[l]); l += 1; } if r & 1 != 0 { r -= 1; smr = F::binary_operation(&self.d[r], &smr); } l >>= 1; r >>= 1; } F::binary_operation(&sml, &smr) } pub fn all_prod(&self) -> ::S { self.d[1].clone() } pub fn apply(&mut self, mut p: usize, f: F::F) { assert!(p < self.n); p += self.size; for i in (1..=self.log).rev() { self.push(p >> i); } self.d[p] = F::mapping(&f, &self.d[p]); for i in 1..=self.log { self.update(p >> i); } } pub fn apply_range(&mut self, range: R, f: F::F) where R: RangeBounds, { let mut r = match range.end_bound() { Bound::Included(r) => r + 1, Bound::Excluded(r) => *r, Bound::Unbounded => self.n, }; let mut l = match range.start_bound() { Bound::Included(l) => *l, Bound::Excluded(l) => l + 1, // TODO: There are another way of optimizing [0..r) Bound::Unbounded => 0, }; assert!(l <= r && r <= self.n); if l == r { return; } l += self.size; r += self.size; for i in (1..=self.log).rev() { if ((l >> i) << i) != l { self.push(l >> i); } if ((r >> i) << i) != r { self.push((r - 1) >> i); } } { let l2 = l; let r2 = r; while l < r { if l & 1 != 0 { self.all_apply(l, f.clone()); l += 1; } if r & 1 != 0 { r -= 1; self.all_apply(r, f.clone()); } l >>= 1; r >>= 1; } l = l2; r = r2; } for i in 1..=self.log { if ((l >> i) << i) != l { self.update(l >> i); } if ((r >> i) << i) != r { self.update((r - 1) >> i); } } } pub fn max_right(&mut self, mut l: usize, g: G) -> usize where G: Fn(::S) -> bool, { assert!(l <= self.n); assert!(g(F::identity_element())); if l == self.n { return self.n; } l += self.size; for i in (1..=self.log).rev() { self.push(l >> i); } let mut sm = F::identity_element(); while { // do while l % 2 == 0 { l >>= 1; } if !g(F::binary_operation(&sm, &self.d[l])) { while l < self.size { self.push(l); l *= 2; let res = F::binary_operation(&sm, &self.d[l]); if g(res.clone()) { sm = res; l += 1; } } return l - self.size; } sm = F::binary_operation(&sm, &self.d[l]); l += 1; //while { let l = l as isize; (l & -l) != l } } {} self.n } pub fn min_left(&mut self, mut r: usize, g: G) -> usize where G: Fn(::S) -> bool, { assert!(r <= self.n); assert!(g(F::identity_element())); if r == 0 { return 0; } r += self.size; for i in (1..=self.log).rev() { self.push((r - 1) >> i); } let mut sm = F::identity_element(); while { // do r -= 1; while r > 1 && r % 2 != 0 { r >>= 1; } if !g(F::binary_operation(&self.d[r], &sm)) { while r < self.size { self.push(r); r = 2 * r + 1; let res = F::binary_operation(&self.d[r], &sm); if g(res.clone()) { sm = res; r -= 1; } } return r + 1 - self.size; } sm = F::binary_operation(&self.d[r], &sm); // while { let r = r as isize; (r & -r) != r } } {} 0 } } pub struct LazySegtree where F: MapMonoid, { n: usize, size: usize, log: usize, d: Vec<::S>, lz: Vec, } impl LazySegtree where F: MapMonoid, { fn update(&mut self, k: usize) { self.d[k] = F::binary_operation(&self.d[2 * k], &self.d[2 * k + 1]); } fn all_apply(&mut self, k: usize, f: F::F) { self.d[k] = F::mapping(&f, &self.d[k]); if k < self.size { self.lz[k] = F::composition(&f, &self.lz[k]); } } fn push(&mut self, k: usize) { self.all_apply(2 * k, self.lz[k].clone()); self.all_apply(2 * k + 1, self.lz[k].clone()); self.lz[k] = F::identity_map(); } } // TODO is it useful? use std::{ fmt::{Debug, Error, Formatter, Write}, ops::{Bound, RangeBounds}, }; impl Debug for LazySegtree where F: MapMonoid, F::F: Debug, ::S: Debug, { fn fmt(&self, f: &mut Formatter<'_>) -> Result<(), Error> { for i in 0..self.log { for j in 0..1 << i { f.write_fmt(format_args!( "{:?}[{:?}]\t", self.d[(1 << i) + j], self.lz[(1 << i) + j] ))?; } f.write_char('\n')?; } for i in 0..self.size { f.write_fmt(format_args!("{:?}\t", self.d[self.size + i]))?; } Ok(()) } } fn main() { std::thread::Builder::new() .stack_size(128 * 1024 * 1024) .spawn(|| Solver::default().solve()) .unwrap() .join() .unwrap(); } #[macro_export] macro_rules! input { () => {}; (mut $var:ident: $t:tt, $($rest:tt)*) => { let mut $var = __input_inner!($t); input!($($rest)*) }; ($var:ident: $t:tt, $($rest:tt)*) => { let $var = __input_inner!($t); input!($($rest)*) }; (mut $var:ident: $t:tt) => { let mut $var = __input_inner!($t); }; ($var:ident: $t:tt) => { let $var = __input_inner!($t); }; } #[macro_export] macro_rules! __input_inner { (($($t:tt),*)) => { ($(__input_inner!($t)),*) }; ([$t:tt; $n:expr]) => { (0..$n).map(|_| __input_inner!($t)).collect::>() }; ([$t:tt]) => {{ let n = __input_inner!(usize); (0..n).map(|_| __input_inner!($t)).collect::>() }}; (chars) => { __input_inner!(String).chars().collect::>() }; (bytes) => { __input_inner!(String).into_bytes() }; (usize1) => { __input_inner!(usize) - 1 }; ($t:ty) => { $crate::read::<$t>() }; } #[macro_export] macro_rules! println { () => { $crate::write(|w| { use std::io::Write; std::writeln!(w).unwrap() }) }; ($($arg:tt)*) => { $crate::write(|w| { use std::io::Write; std::writeln!(w, $($arg)*).unwrap() }) }; } #[macro_export] macro_rules! print { ($($arg:tt)*) => { $crate::write(|w| { use std::io::Write; std::write!(w, $($arg)*).unwrap() }) }; } #[macro_export] macro_rules! flush { () => { $crate::write(|w| { use std::io::Write; w.flush().unwrap() }) }; } pub fn read() -> T where T: std::str::FromStr, T::Err: std::fmt::Debug, { use std::cell::RefCell; use std::io::*; thread_local! { pub static STDIN: RefCell> = RefCell::new(stdin().lock()); } STDIN.with(|r| { let mut r = r.borrow_mut(); let mut s = vec![]; loop { let buf = r.fill_buf().unwrap(); if buf.is_empty() { break; } if let Some(i) = buf.iter().position(u8::is_ascii_whitespace) { s.extend_from_slice(&buf[..i]); r.consume(i + 1); if !s.is_empty() { break; } } else { s.extend_from_slice(buf); let n = buf.len(); r.consume(n); } } std::str::from_utf8(&s).unwrap().parse().unwrap() }) } pub fn write(f: F) where F: FnOnce(&mut std::io::BufWriter), { use std::cell::RefCell; use std::io::*; thread_local! { pub static STDOUT: RefCell>> = RefCell::new(BufWriter::new(stdout().lock())); } STDOUT.with(|w| f(&mut w.borrow_mut())) } // trait Bound { // fn lower_bound(&self, x: &T) -> usize; // fn upper_bound(&self, x: &T) -> usize; // } // impl Bound for [T] { // fn lower_bound(&self, x: &T) -> usize { // let (mut low, mut high) = (0, self.len()); // while low + 1 < high { // let mid = (low + high) / 2; // if self[mid] < *x { // low = mid; // } else { // high = mid; // } // } // if self[low] < *x { // low + 1 // } else { // low // } // } // fn upper_bound(&self, x: &T) -> usize { // let (mut low, mut high) = (0, self.len()); // while low + 1 < high { // let mid = (low + high) / 2; // if self[mid] <= *x { // low = mid; // } else { // high = mid; // } // } // if self[low] <= *x { // low + 1 // } else { // low // } // } // }