// 続けて同じものだとペナだと思ってたがそうは書いてない use std::io::Write; use std::collections::*; type Map = BTreeMap; type Set = BTreeSet; type Deque = VecDeque; fn main() { input! { n: usize, m: usize, c: i32, x: i32, a: [[i32; m]; n], } let mut deq = FoldableDeque::new(|a, b| std::cmp::max(*a, *b)); let mut calc = |d: i32| -> bool { let inf = 10000; let mut dp = vec![[-inf, -inf]; m]; for i in 0..m { if a[0][i] >= d { dp[i][0] = 0; } } for a in a.windows(2) { deq.clear(); for dp in dp.iter() { deq.push_back(dp[0].max(dp[1])); } //println!("{:?} {:?}", deq.front, deq.back); for (i, dp) in dp.iter_mut().enumerate() { deq.pop_front(); //println!("{:?} {:?}", deq.front, deq.back); let pre = *dp; dp[0] = -inf; if a[1][i] >= d { dp[0] = deq.find().unwrap(); } dp[1] = -inf; if a[0][i] - c >= d && a[1][i] - c >= d { dp[1] = (pre[0] + 2).max(pre[1] + 1); } deq.push_back(pre[0].max(pre[1])); } } dp.iter().flatten().any(|dp| *dp >= x) }; let mut ok = -10i32.pow(9); let mut ng = 10i32.pow(9) + 1; while ng - ok > 1 { let mid = ok + (ng - ok) / 2; if calc(mid) { ok = mid; } else { ng = mid; } } println!("{}", ok); } // ---------- begin input macro ---------- // reference: https://qiita.com/tanakh/items/0ba42c7ca36cd29d0ac8 #[macro_export] macro_rules! input { (source = $s:expr, $($r:tt)*) => { let mut iter = $s.split_whitespace(); input_inner!{iter, $($r)*} }; ($($r:tt)*) => { let s = { use std::io::Read; let mut s = String::new(); std::io::stdin().read_to_string(&mut s).unwrap(); s }; let mut iter = s.split_whitespace(); input_inner!{iter, $($r)*} }; } #[macro_export] macro_rules! input_inner { ($iter:expr) => {}; ($iter:expr, ) => {}; ($iter:expr, $var:ident : $t:tt $($r:tt)*) => { let $var = read_value!($iter, $t); input_inner!{$iter $($r)*} }; } #[macro_export] macro_rules! read_value { ($iter:expr, ( $($t:tt),* )) => { ( $(read_value!($iter, $t)),* ) }; ($iter:expr, [ $t:tt ; $len:expr ]) => { (0..$len).map(|_| read_value!($iter, $t)).collect::>() }; ($iter:expr, chars) => { read_value!($iter, String).chars().collect::>() }; ($iter:expr, bytes) => { read_value!($iter, String).bytes().collect::>() }; ($iter:expr, usize1) => { read_value!($iter, usize) - 1 }; ($iter:expr, $t:ty) => { $iter.next().unwrap().parse::<$t>().expect("Parse error") }; } // ---------- end input macro ---------- // ---------- begin Foldable Deque ---------- #[derive(Debug)] pub struct FoldableDeque { front: Vec<(T, T)>, back: Vec<(T, T)>, op: F, } impl FoldableDeque where T: Clone, F: Fn(&T, &T) -> T, { pub fn new(op: F) -> Self { FoldableDeque { front: Vec::new(), back: Vec::new(), op: op, } } pub fn find(&self) -> Option { match (self.front.last(), self.back.last()) { (Some(a), Some(b)) => Some((self.op)(&a.1, &b.1)), (x, y) => x.or(y).map(|p| p.1.clone()), } } pub fn clear(&mut self) { self.front.clear(); self.back.clear(); } pub fn len(&self) -> usize { self.front.len() + self.back.len() } pub fn push_back(&mut self, val: T) { let sum = match self.back.last() { Some(p) => (self.op)(&p.1, &val), None => val.clone(), }; self.back.push((val, sum)); } pub fn push_front(&mut self, val: T) { let sum = match self.front.last() { Some(p) => (self.op)(&val, &p.1), None => val.clone(), }; self.front.push((val, sum)); } pub fn pop_front(&mut self) -> Option { if self.front.is_empty() { let mut back = std::mem::take(&mut self.back); let m = (back.len() + 1) / 2; for (v, _) in back.drain(..m).rev() { self.push_front(v); } if !back.is_empty() { back[0].1 = back[0].0.clone(); let (f, t) = back.split_at_mut(1); let mut pre = &f[0].1; for b in t.iter_mut() { b.1 = (self.op)(pre, &b.0); pre = &b.1; } } self.back = back; } self.front.pop().map(|p| p.0) } pub fn pop_back(&mut self) -> Option { if self.back.is_empty() { let mut front = std::mem::take(&mut self.front); let m = (front.len() + 1) / 2; for (v, _) in front.drain(..m).rev() { self.push_back(v); } if !front.is_empty() { front[0].1 = front[0].0.clone(); let (t, f) = front.split_at_mut(1); let mut pre = &t[0].1; for f in f.iter_mut() { f.1 = (self.op)(&f.0, pre); pre = &f.1; } } self.front = front; } self.back.pop().map(|p| p.0) } pub fn front(&self) -> Option<&T> { self.front.last().or_else(|| self.back.get(0)).map(|p| &p.0) } pub fn back(&self) -> Option<&T> { self.back.last().or_else(|| self.front.get(0)).map(|p| &p.0) } pub fn get(&self, k: usize) -> Option<&T> { let f = self.front.len(); self.front .get(f - 1 - k) .or_else(|| self.back.get(k - f)) .map(|p| &p.0) } } // ---------- end Foldable Deque ----------