use proconio::{input, marker::Usize1, fastout}; // 2e5に収まるなら3、そうでないなら4。4だと手元で実行できないので注意 const TREELEVEL: usize = 4; #[derive(Clone, Debug)] pub struct Predecessor64{ d: [[u64; 1<<18]; TREELEVEL], } impl Predecessor64 { pub fn new()->Self{ Predecessor64{ d: [[0; 1<<18]; TREELEVEL], } } #[inline(always)] pub fn is_empty(&self) -> bool { self.d[TREELEVEL-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..TREELEVEL{ 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..TREELEVEL{ 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..TREELEVEL{ 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..TREELEVEL{ 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< 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, mut a: [i32; n], } let mut pre = a.clone(); let mut query = vec![(!0, -1, -1); q]; let mut qs = Vec::new(); for i in 0..q{ input!{ t: u8, } if t==1 { input!{ p: Usize1, x: i32, } query[i] = (p, pre[p], x); pre[p] = x; } else { input!{ r: usize, } qs.push((r, i)); } } let ord_x = (0..qs.len()).into_iter().map(|i| {let (x,y)=qs[i];hilbert_order(x as u32, y as u32, 18, 0)}).collect::>(); let mut ord = (0..qs.len()).collect::>(); ord.sort_unstable_by_key(|&idx| ord_x[idx]); let mut ans = vec![0; qs.len()]; let mut cnt = Predecessor64::new(); let mut res = Predecessor64::new(); let mut fr1 = vec![0; 1<<20]; let mut fr2 = vec![0; 1<<21]; let (mut l, mut r) = (0, 0); for idx in ord{ let (left, right) = (qs[idx].0, qs[idx].1); while r < right{ if query[r].0!=!0{ let (p, u, v) = query[r]; a[p] = v; if p < l{ remove(u, &mut fr1, &mut fr2, &mut cnt, &mut res); insert(v, &mut fr1, &mut fr2, &mut cnt, &mut res); } } r += 1; } while l > left{ l -= 1; remove(a[l], &mut fr1, &mut fr2, &mut cnt, &mut res); } while r > right{ r -= 1; if query[r].0!=!0{ let (p, u, v) = query[r]; a[p] = u; if p < l{ remove(v, &mut fr1, &mut fr2, &mut cnt, &mut res); insert(u, &mut fr1, &mut fr2, &mut cnt, &mut res); } } } while l < left{ insert(a[l], &mut fr1, &mut fr2, &mut cnt, &mut res); l += 1; } ans[idx] = res.min(); } for x in ans{ println!("{}", x); } } //#[fastout] fn main() { if MULTI{ input!{ t: usize, } for _ in 0..t{ solve(); } } else { solve(); } }