#![allow(non_snake_case, unused_imports, unused_must_use)] use std::io::{self, prelude::*}; use std::str; fn main() { let (stdin, stdout) = (io::stdin(), io::stdout()); let mut scan = Scanner::new(stdin.lock()); let mut out = io::BufWriter::new(stdout.lock()); macro_rules! input { ($T: ty) => { scan.token::<$T>() }; ($T: ty, $N: expr) => { (0..$N).map(|_| scan.token::<$T>()).collect::>() }; } let H = input!(isize); let W = input!(isize); let N = input!(usize); let D = input!(isize); let dist = |y1: isize, x1: isize, y2: isize, x2: isize| (y1 - y2).abs() + (x1 - x2).abs(); let mut points = vec![]; let mut has_star = vec![vec![usize::MAX; W as usize + 1]; H as usize + 1]; for i in 0..N { let (y, x) = (input!(isize), input!(isize)); points.push((y, x)); has_star[y as usize][x as usize] = i; } let mut graph = vec![vec![]; N]; for i in 0..N { let (y, x) = points[i]; for dy in -D..=D { for dx in -D..=D { if dist(dy, dx, 0, 0) <= D { if y + dy >= 1 && y + dy <= H && x + dx >= 1 && x + dx <= W { if has_star[(y + dy) as usize][(x + dx) as usize] != usize::MAX { graph[i].push(has_star[(y + dy) as usize][(x + dx) as usize]); } } } } } } let mut root = (0..N).collect::>(); let mut seen = vec![false; N]; let mut q = std::collections::VecDeque::default(); for i in 0..N { if seen[i] { continue; } q.push_front(i); seen[i] = true; while let Some(now) = q.pop_front() { for &nxt in graph[now].iter() { if seen[nxt] { continue; } seen[nxt] = true; root[nxt] = i; q.push_back(nxt); } } } let mut original_ans = 0; let mut cnt = vec![0; N]; for &r in root.iter() { cnt[r] += 1; } for i in 0..N { if cnt[i] >= 2 { original_ans += 1; } } let mut ans_max = usize::MIN; let mut ans_min = usize::MAX; let mut unbound_count = 0; for i in 0..N { let (y, x) = points[i]; for dy in -D..=D { for dx in -D..=D { if dist(dy, dx, 0, 0) <= D { if y + dy >= 1 && y + dy <= H && x + dx >= 1 && x + dx <= W { // put star (y + dy, x + dx) let mut roots = std::collections::BTreeSet::new(); for dy2 in -D..=D { for dx2 in -D..=D { if dist(dy2, dx2, 0, 0) <= D { if y + dy + dy2 >= 1 && y + dy + dy2 <= H && x + dx + dx2 >= 1 && x + dx + dx2 <= W { if has_star[(y + dy + dy2) as usize] [(x + dx + dx2) as usize] != usize::MAX { roots.insert( root[has_star[(y + dy + dy2) as usize] [(x + dx + dx2) as usize]], ); } } } } } let mut ans_now = original_ans; let mut root_cnt = 0; let mut alone_cnt = 0; for &r in roots.iter() { if cnt[r] >= 2 { root_cnt += 1; } else if cnt[r] == 1 { alone_cnt += 1; } } if alone_cnt >= 1 && roots.len() == alone_cnt { // 孤立した星とだけ接続した場合 ans_now = original_ans + 1; } else if root_cnt == 0 && alone_cnt == 0 { // 何も接続しない場合 ans_now = original_ans; } else { // すでに星座をなす星と接続した場合 ans_now = original_ans + 1 - root_cnt; } ans_max = std::cmp::max(ans_max, ans_now); ans_min = std::cmp::min(ans_min, ans_now); } } else if unbound_count <= 100 && y + dy >= 1 && y + dy <= H && x + dx >= 1 && x + dx <= W { unbound_count += 1; if y + dy >= 1 && y + dy <= H && x + dx >= 1 && x + dx <= W { // put star (y + dy, x + dx) let mut roots = std::collections::BTreeSet::new(); for dy2 in -D..=D { for dx2 in -D..=D { if dist(dy2, dx2, 0, 0) <= D { if y + dy + dy2 >= 1 && y + dy + dy2 <= H && x + dx + dx2 >= 1 && x + dx + dx2 <= W { if has_star[(y + dy + dy2) as usize] [(x + dx + dx2) as usize] != usize::MAX { roots.insert( root[has_star[(y + dy + dy2) as usize] [(x + dx + dx2) as usize]], ); } } } } } let mut ans_now = original_ans; let mut root_cnt = 0; let mut alone_cnt = 0; for &r in roots.iter() { if cnt[r] >= 2 { root_cnt += 1; } else if cnt[r] == 1 { alone_cnt += 1; } } if alone_cnt >= 1 && roots.len() == alone_cnt { // 孤立した星とだけ接続した場合 ans_now = original_ans + 1; } else if root_cnt == 0 && alone_cnt == 0 { // 何も接続しない場合 ans_now = original_ans; } else { // すでに星座をなす星と接続した場合 ans_now = original_ans + 1 - root_cnt; } ans_max = std::cmp::max(ans_max, ans_now); ans_min = std::cmp::min(ans_min, ans_now); } } } } } writeln!(out, "{} {}", ans_min, ans_max); } struct Scanner { reader: R, buf_str: Vec, buf_iter: str::SplitWhitespace<'static>, } impl Scanner { fn new(reader: R) -> Self { Self { reader, buf_str: vec![], buf_iter: "".split_whitespace(), } } fn token(&mut self) -> T { loop { if let Some(token) = self.buf_iter.next() { return token.parse().ok().expect("Failed parse"); } self.buf_str.clear(); self.reader .read_until(b'\n', &mut self.buf_str) .expect("Failed read"); self.buf_iter = unsafe { let slice = str::from_utf8_unchecked(&self.buf_str); std::mem::transmute(slice.split_whitespace()) } } } }