// ---------- begin chmin, chmax ---------- trait ChangeMinMax { fn chmin(&mut self, x: Self) -> bool; fn chmax(&mut self, x: Self) -> bool; } impl ChangeMinMax for T { fn chmin(&mut self, x: Self) -> bool { *self > x && { *self = x; true } } fn chmax(&mut self, x: Self) -> bool { *self < x && { *self = x; true } } } // ---------- end chmin, chmax ---------- // ---------- begin input macro ---------- // reference: https://qiita.com/tanakh/items/0ba42c7ca36cd29d0ac8 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_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_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 ---------- use std::cmp::*; fn run() { input! { n: usize, c: [[u64; n]; n], } type DP = std::collections::BTreeMap<(usize, usize, usize), u64>; let mut dp = DP::new(); for i in 0..n { dp.insert((i, 1 << i, 0), 0); } let mut ans = std::u64::MAX; for _ in 0..(3 * n) { let mut next = DP::new(); for ((prev, bit, used), cost) in dp { if bit == (1 << n) - 1 { ans.chmin(cost); continue; } for k in 0..n { if bit >> k & 1 == 0 { let d = cost + c[prev][k]; let mut bit = bit | (1 << k); let mut used = used; if used >> prev & 1 == 0 { bit &= !(1 << prev); used |= 1 << prev; } next.entry((k, bit, used)).or_insert(d).chmin(d); } } } dp = next; } println!("{}", ans); } fn main() { run(); }