#[allow(unused_imports)] use std::{ convert::{Infallible, TryFrom, TryInto as _}, fmt::{self, Debug, Display, Formatter,}, fs::File, hash::{Hash, Hasher, BuildHasherDefault}, iter::{Product, Sum}, marker::PhantomData, ops::{Add, AddAssign, Sub, SubAssign, Div, DivAssign, Mul, MulAssign, Neg, RangeBounds}, str::FromStr, sync::{atomic::{self, AtomicU32, AtomicU64}, Once}, collections::{*, btree_set::Range, btree_map::Range as BTreeRange}, mem::{swap}, cmp::{self, Reverse, Ordering, Eq, PartialEq, PartialOrd}, thread::LocalKey, f64::consts::PI, time::Instant, cell::RefCell, io::{self, stdin, Read, read_to_string, BufWriter, BufReader, stdout, Write}, }; pub mod fxhash { use std::hash::BuildHasherDefault; const K: u64 = 0x517c_c1b7_2722_0a95; #[derive(Default)] pub struct FxHasher { pub hash: u64, } impl FxHasher { #[inline(always)] fn mix_u64(mut h: u64, x: u64) -> u64 { h = h.rotate_left(5) ^ x; h = h.wrapping_mul(K); let x2 = x ^ (x >> 33) ^ (x << 11); h = h.rotate_left(5) ^ x2; h = h.wrapping_mul(K); h } #[inline(always)] fn write_u64_impl(&mut self, x: u64) { self.hash = Self::mix_u64(self.hash, x); } } impl std::hash::Hasher for FxHasher { #[inline(always)] fn finish(&self) -> u64 { self.hash } #[inline(always)] fn write(&mut self, bytes: &[u8]) { let mut h = self.hash; for &b in bytes { h = h.rotate_left(5) ^ (b as u64); h = h.wrapping_mul(K); } self.hash = h; } #[inline(always)] fn write_u64(&mut self, i: u64) { self.write_u64_impl(i); } #[inline(always)] fn write_u32(&mut self, i: u32) { self.write_u64_impl(i as u64); } #[inline(always)] fn write_u16(&mut self, i: u16) { self.write_u64_impl(i as u64); } #[inline(always)] fn write_u8 (&mut self, i: u8 ) { self.write_u64_impl(i as u64); } #[inline(always)] fn write_usize(&mut self, i: usize) { self.write_u64_impl(i as u64); } #[inline(always)] fn write_i64(&mut self, i: i64) { self.write_u64_impl(i as u64); } #[inline(always)] fn write_i32(&mut self, i: i32) { self.write_u64_impl(i as u64); } #[inline(always)] fn write_i16(&mut self, i: i16) { self.write_u64_impl(i as u64); } #[inline(always)] fn write_i8 (&mut self, i: i8 ) { self.write_u64_impl(i as u64); } #[inline(always)] fn write_isize(&mut self, i: isize) { self.write_u64_impl(i as u64); } } pub type FxBuildHasher = BuildHasherDefault; pub type FxMap = std::collections::HashMap; pub type FxSet = std::collections::HashSet; } pub fn gcd(mut a: i64, mut b: i64)->i64{if a==0{return b;}else if b==0{return a;}let l1 = a.trailing_zeros();let l2 = b.trailing_zeros(); a >>= l1; b >>= l2;while a!=b{let x = (a^b).trailing_zeros();if a>x;}a << l1.min(l2)} pub fn factorial_i64(n: usize)->(Vec, Vec){ let mut res = vec![1; n+1];let mut inv = vec![1; n+1];for i in 0..n{ res[i+1] = (res[i]*(i+1)as i64)%MOD; } inv[n] = mod_inverse(res[n], MOD);for i in (0..n).rev(){ inv[i] = inv[i+1]*(i+1) as i64%MOD; }(res, inv) } pub fn floor(a:i64, b:i64)->i64{let res=(a%b+b)%b;(a-res)/b} pub fn modulo(a: i64, b: i64)->i64{(a%b+b)%b} pub fn extended_gcd(a:i64,b:i64)->(i64,i64,i64) {if b==0{(a,1,0)}else{let(g,x,y)=extended_gcd(b,a%b);(g,y,x-floor(a,b)*y)}} pub fn mod_inverse(a:i64,m:i64)->i64{let(_,x,_) =extended_gcd(a,m);(x%m+m)%m} pub fn comb(a: i64, b: i64, f: &Vec<(i64, i64)>)->i64{ if aVec<(i64, i64)>{ let mut f=vec![(1i64,1i64),(1, 1)];let mut z = 1i64; let mut inv = vec![0; x as usize+10];inv[1] = 1; for i in 2..x+1{z=(z*i)%MOD; let w=(MOD-inv[(MOD%i)as usize]*(MOD/i)%MOD)%MOD; inv[i as usize] = w; f.push((z, (f[i as usize-1].1*w)%MOD));}return f;} pub fn fast_mod_pow(mut x: i64,p: usize, m: i64)->i64{ x %= m; let mut res=1;let mut t=x;let mut z=p;while z > 0{ if z%2==1{res = (res*t)%m;}t = (t*t)%m;z /= 2; }res} pub trait SortD{ fn sort_d(&mut self); } impl SortD for Vec{ fn sort_d(&mut self) {self.sort_by(|u, v| v.cmp(&u));} } pub trait Mx{fn max(&self, rhs: Self)->Self;} impl Mx for f64{ fn max(&self, rhs: Self)->Self{if *self < rhs{ rhs } else { *self } }} pub trait Mi{ fn min(&self, rhs: Self)->Self; } impl Mi for f64{ fn min(&self, rhs: Self)->Self{ if *self > rhs{ rhs } else { *self } } } pub trait Chmax: PartialOrd + Copy {fn chmax(&mut self, rhs: Self) {if *self < rhs { *self = rhs; }}} impl Chmax for T {} pub trait Chmin: PartialOrd + Copy {fn chmin(&mut self, rhs: Self) {if *self > rhs { *self = rhs; }}} impl Chmin for T {} #[allow(unused)] use proconio::{*, marker::*}; #[allow(unused)] use fxhash::FxMap; #[allow(dead_code)] const INF: i64 = 1<<60; #[allow(dead_code)] const I: i32 = 1<<30; #[allow(dead_code)] const MOD: i64 = 998244353; #[allow(dead_code)] const D: [(usize, usize); 4] = [(1, 0), (0, 1), (!0, 0), (0, !0)]; #[allow(dead_code)] pub fn c2d(c: u8)->(usize, usize){match c{b'U'=>(!0,0),b'D'=>(1,0),b'L'=>(0,!0),b'R'=>(0,1),_=>unreachable!()}} #[allow(dead_code)] pub fn c2d_i64(c: u8)->(i64, i64){match c{b'U'=>(-1,0),b'D'=>(1,0),b'L'=>(0,-1),b'R'=>(0,1),_=>unreachable!()}} #[allow(dead_code)] const D2: [(usize, usize); 8] = [(1, 0), (1, 1), (0, 1), (!0, 1), (!0, 0), (!0, !0), (0, !0), (1, !0)]; #[derive(Clone, Debug)] pub struct Predecessor64{ n: usize, d: Vec>, } impl Predecessor64 { pub fn new(n: usize)->Self{ let d = (0..n).into_iter().map(|k| vec![0; 1<<(6*(n-k-1))]).collect::>>(); Predecessor64{ n, d } } #[inline(always)] pub fn is_empty(&self) -> bool { self.d[self.n-1][0]==0 } #[inline(always)] pub fn include(&self, p: usize) -> bool { self.d[0][p>>6]&1<<(p&63)!=0 } #[inline(always)] pub fn insert(&mut self, p: usize){ for i in 0..self.n{ if self.d[i][p>>(6*(i+1))]&1<<((p>>(6*i))&63)==0{ self.d[i][p>>(6*(i+1))] |= 1<<((p>>(6*i))&63); } else { return; } } } #[inline(always)] pub fn remove(&mut self, p: usize){ if self.d[0][p>>6]&1<<(p&63)==0{return;} for i in 0..self.n{ self.d[i][p>>(6*(i+1))] ^= 1<<((p>>(6*i))&63); if self.d[i][p>>(6*(i+1))]!=0{ return; } } } #[inline(always)] fn ml(r: usize)->u64{ (1<u64{ if l==63{return 0;} !((1<<(l+1))-1) } #[inline(always)] fn msb(bit: u64)->usize{ 63-bit.leading_zeros()as usize } #[inline(always)] fn lsb(bit: u64)->usize{ bit.trailing_zeros()as usize } //存在しないは!0 #[inline(always)] pub fn prev(&self, mut p: usize)->usize{ for i in 0..self.n{ if Self::ml(p&63)&self.d[i][p>>6]!=0{ let mut res = ((p>>6)<<6)|Self::msb(self.d[i][p>>6]&Self::ml(p&63)); for j in (0..i).rev(){ res = (res<<6)|Self::msb(self.d[j][res]); } return res; } p >>= 6; } !0 } #[inline(always)] pub fn next(&self, mut p: usize)->usize{ for i in 0..self.n{ if Self::mr(p&63)&self.d[i][p>>6]!=0{ let mut res = ((p>>6)<<6)|Self::lsb(self.d[i][p>>6]&Self::mr(p&63)); for j in (0..i).rev(){ res = (res<<6)|Self::lsb(self.d[j][res]); } return res; } p >>= 6; } !0 } #[inline(always)] pub fn inprev(&self, p: usize)->usize{ if self.include(p){p} else {self.prev(p)} } #[inline(always)] pub fn innext(&self, p: usize)->usize{ if self.include(p){p} else {self.next(p)} } #[inline(always)] pub fn min(&self)->usize{ self.innext(0) } #[inline(always)] pub fn max(&self)->usize{ self.inprev((1<<(6*self.n))-1) } } #[inline(always)] fn inc(p: usize, c2: &mut Vec, seg: &mut Predecessor64){ if c2[p]==0{ seg.insert(p); } c2[p] += 1; } #[inline(always)] fn dec(p: usize, c2: &mut Vec, seg: &mut Predecessor64){ c2[p] -= 1; if c2[p]==0{ seg.remove(p); } } #[inline(always)] fn add(p: usize, b: &Vec, set: &mut Predecessor64, seg: &mut Predecessor64, c1: &mut Vec, c2: &mut Vec){ if c1[p]==0{ let l = set.prev(p); let r = set.next(p); let bp = b[p]; if l==!0{ if r!=!0{ inc(b[r]-bp, c2, seg); } } else if r==!0{ inc(bp-b[l], c2, seg); } else { let (bl, br) = (b[l], b[r]); dec(br-bl, c2, seg); inc(bp-bl, c2, seg); inc(br-bp, c2, seg); } set.insert(p); } else { inc(0, c2, seg); } c1[p] += 1; } #[inline(always)] fn sub(p: usize, b: &Vec,set: &mut Predecessor64, seg: &mut Predecessor64, c1: &mut Vec, c2: &mut Vec){ c1[p] -= 1; if c1[p]==0{ let l = set.prev(p); let r = set.next(p); let bp = b[p]; if l==!0{ if r!=!0{ dec(b[r]-bp, c2, seg); } } else if r==!0{ dec(bp-b[l], c2, seg); } else { let (bl, br) = (b[l], b[r]); inc(br-bl, c2, seg); dec(bp-bl, c2, seg); dec(br-bp, c2, seg); } set.remove(p); } else { dec(0, c2, seg); } } const ROT_DELTA: [u32; 4] = [3, 0, 0, 1]; #[inline] pub fn hilbert_order(x: u32, y: u32, pow: u32, rot: u32) -> u64 { if pow == 0 { return 0; } let h: u32 = 1u32 << (pow - 1); let mut seg: u32 = if x < h {if y < h { 0 } else { 3 }} else {if y < h { 1 } else { 2 }}; seg = (seg + rot) & 3; let nrot = (rot + ROT_DELTA[seg as usize]) & 3; let nx = x & (h - 1); let ny = y & (h - 1); let sub: u64 = 1u64 << (2 * pow - 2); let mut ord = (seg as u64) * sub; let add = hilbert_order(nx, ny, pow - 1, nrot); ord += if seg == 1 || seg == 2 { add } else { sub - 1 - add }; ord } const MULTI: bool = false; #[fastout] fn solve(){ input!{ n: usize, q: usize, a: [Usize1; n], query: [(Usize1, usize, usize, char); q], } assert!(2 <= n && n <= 100000); assert!(1 <= q && q <= 100000); assert!(a.iter().all(|&v| 0 <= v && v < 10000000)); assert!(query.iter().all(|&x| 0 <= x.0 && x.0+1 < x.1 && x.1 <= n && 1 <= x.2 && x.2 <= 10000000 && (x.3=='L'||x.3=='R'))); let mut b = a.clone(); b.sort_unstable();b.dedup(); let mut map = FxMap::default(); for (i,&v)in b.iter().enumerate(){ map.insert(v, i); } let c = a.iter().map(|&x| map[&x]).collect::>(); let mut set = Predecessor64::new(3); let mut seg = Predecessor64::new(4); let ord_x = (0..q).into_iter().map(|idx| hilbert_order(query[idx].0 as u32, query[idx].1 as u32, 19, 0)).collect::>(); const MX: usize = 10000000; let mut ord = (0..q).collect::>(); let mut c1 = vec![0; b.len()]; let mut c2 = vec![0; MX]; let mut ans = vec![0; q]; ord.sort_unstable_by_key(|&idx| ord_x[idx]); let (mut l, mut r) = (0, 0); for idx in ord{ let (left, right, x, ci) = query[idx]; while r < right{ add(c[r], &b, &mut set, &mut seg, &mut c1, &mut c2); r += 1; } while l > left{ l -= 1; add(c[l], &b, &mut set, &mut seg, &mut c1, &mut c2); } while r > right{ r -= 1; sub(c[r], &b, &mut set, &mut seg, &mut c1, &mut c2); } while l < left { sub(c[l], &b, &mut set, &mut seg, &mut c1, &mut c2); l += 1; } ans[idx] = if ci=='L'{seg.inprev(x)} else {seg.innext(x)}as i32; } for x in ans{ println!("{}", x); } } fn main() { if MULTI{ input!{ t: usize, } for _ in 0..t{ solve(); } } else { solve(); } }