fn main() { input!{ n: usize, m: usize, k: usize, a: [[usize; m]; n], } // 探索経路全て置き換え可能 if n+m-1 <= k { println!("{}", INF); return; } // x未満なら置き換えと、二分探索で決める let mut ok = 0; let mut ng = INF + 1; let d = vec!{(!0, 0), (0, !0), (1, 0), (0, 1)}; // 上左下右 for _ in 0..50 { let md = (ng + ok) / 2; if enabled_move(n, m, &d, md, k, &a) { ok = md; } else { ng = md; } } println!("{}", ok); } // n: usize, m: usize, k: usize, // a: [[usize; m]; n], fn enabled_move( n: usize, m: usize, // 縦横 d: &Vec<(usize, usize)>, // 4方向移動 border: usize, // 置き換え条件 k: usize, // 置き換え回数 a: &Vec>) // グリッド -> bool { // (1,1)->(N,M)へ移動する際に置き換え回数のmin let mut cost = vec![vec![INF; m]; n]; cost[0][0] = if a[0][0] < border {1} else {0}; // コストの小さい順に見る(ダイクストラ) let mut hp = BinaryHeap::new(); hp.push(Reverse((cost[0][0], (0, 0)))); while hp.len() > 0 { let (now_cost, (now_x, now_y)) = hp.pop().unwrap().0; if now_cost > cost[now_x][now_y] { continue; } // 4方向移動 for k in 0..4 { // 範囲外の移動チェック let next_x = now_x.wrapping_add(d[k].0); let next_y = now_y.wrapping_add(d[k].1); if next_x >= n || next_y >= m {continue; } // 移動後のコスト let next_cost = if a[next_x][next_y] < border {now_cost+1} else {now_cost}; if next_cost < cost[next_x][next_y] { cost[next_x][next_y] = next_cost; hp.push(Reverse((next_cost, (next_x, next_y)))); } } } if cost[n-1][m-1] <= k {true} else {false} } // const MOD17: usize = 1000000007; // const MOD93: usize = 998244353; const INF: usize = 1_000_000_000; // let dx = vec![!0, 0, 1, 0]; // 上左下右 // let dy = vec![0, !0, 0, 1]; // 上左下右 #[allow(unused)] use proconio::{input, marker::Chars, marker::Usize1}; #[allow(unused)] use std::{ mem::swap, cmp::min, cmp::max, cmp::Reverse, collections::HashSet, collections::BTreeSet, collections::HashMap, collections::BTreeMap, collections::BinaryHeap, collections::VecDeque, iter::FromIterator, };