fn main() { input! { n: usize, m: usize, k: i64, b: [i64; n], r: [i64; m], } let mut map = std::collections::BTreeMap::new(); for &b in b.iter() { map.entry(b % k).or_insert(vec![vec![]; 2])[0].push(b / k); } for &r in r.iter() { map.entry(r % k).or_insert(vec![vec![]; 2])[1].push(r / k); } let mut sum = 0; let mut cnt = 0; for (_, mut p) in map { let a = std::mem::take(&mut p[0]); let b = std::mem::take(&mut p[1]); let dp = matching1d(a, b); cnt += dp.len() - 1; sum += *dp.last().unwrap(); } if cnt == n.min(m) { println!("{}", sum); } else { println!("-1"); } } // A_i と B_j をマッチさせるときに |A_i - B_j| のコスト // k 個(0 <= k <= min(|A|, |B|)) マッチングを作るときの最小コスト fn matching1d(a: Vec, b: Vec) -> Vec { let m = b.len(); let mut z = vec![]; z.extend(a.into_iter().map(|a| (a, 0))); z.extend(b.into_iter().map(|a| (a, 1))); z.sort(); let mut sum = vec![0; z.len() + 1]; let mut last = vec![z.len() + 1; z.len() + 1]; let mut pos = m; last[pos] = z.len(); for (i, &(x, op)) in z.iter().enumerate().rev() { if op == 1 { pos -= 1; } else { pos += 1; } let r = last[pos]; if r < sum.len() { sum[i] = (z[r - 1].0 - x).abs() + sum[i + 1] - sum[r - 1] + sum[r]; } last[pos] = i; } let mut set = std::collections::BTreeSet::new(); set.extend(0..z.len()); let mut h = std::collections::BinaryHeap::new(); for (i, z) in z.windows(2).enumerate() { if z[0].1 != z[1].1 { let d = sum[i] - sum[i + 2]; h.push((-d, i, i + 1)); } } let mut ans = vec![0]; while let Some((d, l, r)) = h.pop() { if !set.contains(&l) || !set.contains(&r) { continue; } let v = *ans.last().unwrap() - d; ans.push(v); set.remove(&l); set.remove(&r); let nl = set.range(..l).next_back(); let nr = set.range(r..).next(); let nlr = nl.zip(nr); if nlr.map_or(false, |(s, t)| z[*s].1 != z[*t].1) { let (&s, &t) = nlr.unwrap(); let d = sum[s] - sum[t + 1] - (sum[s + 1] - sum[t]); h.push((-d, s, t)); } } ans } // ---------- 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 ----------