結果

問題 No.2263 Perms
ユーザー akakimidoriakakimidori
提出日時 2023-04-07 22:09:08
言語 Rust
(1.77.0)
結果
AC  
実行時間 5 ms / 2,000 ms
コード長 8,395 bytes
コンパイル時間 1,511 ms
コンパイル使用メモリ 184,096 KB
実行使用メモリ 6,944 KB
最終ジャッジ日時 2024-04-10 17:12:28
合計ジャッジ時間 3,098 ms
ジャッジサーバーID
（参考情報） 		judge3 / judge2
このコードへのチャレンジ
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テストケース

テストケース表示
入力 結果 実行時間
実行使用メモリ
testcase_00 AC 0 ms
6,812 KB
testcase_01 AC 1 ms
6,940 KB
testcase_02 AC 1 ms
6,944 KB
testcase_03 AC 0 ms
6,940 KB
testcase_04 AC 1 ms
6,940 KB
testcase_05 AC 1 ms
6,940 KB
testcase_06 AC 5 ms
6,940 KB
testcase_07 AC 3 ms
6,944 KB
testcase_08 AC 1 ms
6,944 KB
testcase_09 AC 5 ms
6,944 KB
testcase_10 AC 1 ms
6,940 KB
testcase_11 AC 3 ms
6,944 KB
testcase_12 AC 3 ms
6,940 KB
testcase_13 AC 5 ms
6,940 KB
testcase_14 AC 5 ms
6,940 KB
testcase_15 AC 1 ms
6,940 KB
testcase_16 AC 1 ms
6,940 KB
testcase_17 AC 1 ms
6,940 KB
testcase_18 AC 1 ms
6,940 KB
testcase_19 AC 1 ms
6,944 KB
testcase_20 AC 4 ms
6,944 KB
testcase_21 AC 4 ms
6,940 KB
testcase_22 AC 3 ms
6,944 KB
testcase_23 AC 2 ms
6,944 KB
testcase_24 AC 1 ms
6,944 KB
testcase_25 AC 4 ms
6,944 KB
testcase_26 AC 4 ms
6,944 KB
testcase_27 AC 1 ms
6,944 KB
testcase_28 AC 1 ms
6,944 KB
testcase_29 AC 1 ms
6,944 KB
testcase_30 AC 1 ms
6,944 KB
testcase_31 AC 1 ms
6,944 KB
testcase_32 AC 1 ms
6,940 KB
testcase_33 AC 1 ms
6,944 KB
testcase_34 AC 1 ms
6,944 KB
testcase_35 AC 1 ms
6,940 KB
testcase_36 AC 1 ms
6,940 KB
testcase_37 AC 1 ms
6,940 KB
testcase_38 AC 4 ms
6,940 KB
testcase_39 AC 1 ms
6,944 KB
testcase_40 AC 1 ms
6,940 KB
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ソースコード

diff # 

fn main() {
    input! {
        n: usize,
        m: u32,
        a: [[u32; n]; n],
    }
    let mut ok = true;
    ok &= a.iter().all(|a| a.iter().sum::<u32>() == m);
    ok &= (0..n).all(|j| a.iter().map(|a| a[j]).sum::<u32>() == m);
    if !ok {
        println!("-1");
        return;
    }
    let mut a = a;
    let mut ans = vec![];
    for _ in 0..m {
        let mut g = maxflow::Graph::new(2 * n + 2);
        let src = 2 * n;
        let dst = src + 1;
        for i in 0..n {
            g.add_edge(src, i, 1);
            g.add_edge(i + n, dst, 1);
        }
        let mut e = vec![];
        for (i, a) in a.iter().enumerate() {
            for (j, a) in a.iter().enumerate() {
                if *a > 0 {
                    e.push(g.add_edge(i, n + j, 1));
                }
            }
        }
        assert!(g.flow(src, dst) == (n as u32));
        let mut p = vec![0; n];
        for e in e.iter() {
            let (s, t, u, _) = g.get_edge(e);
            if u > 0 {
                a[s][t - n] -= 1;
                p[s] = t - n + 1;
            }
        }
        ans.push(p);
    }
    for a in ans {
        use util::*;
        println!("{}", a.iter().join(" "));
    }
}

mod util {
    pub trait Join {
        fn join(self, sep: &str) -> String;
    }

    impl<T, I> Join for I
    where
        I: Iterator<Item = T>,
        T: std::fmt::Display,
    {
        fn join(self, sep: &str) -> String {
            let mut s = String::new();
            use std::fmt::*;
            for (i, v) in self.enumerate() {
                if i > 0 {
                    write!(&mut s, "{}", sep).ok();
                }
                write!(&mut s, "{}", v).ok();
            }
            s
        }
    }
}
// ---------- 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, $t)).collect::<Vec<_>>()
    };
    ($iter:expr, chars) => {
        read_value!($iter, String).chars().collect::<Vec<char>>()
    };
    ($iter:expr, bytes) => {
        read_value!($iter, String).bytes().collect::<Vec<u8>>()
    };
    ($iter:expr, usize1) => {
        read_value!($iter, usize) - 1
    };
    ($iter:expr, $t:ty) => {
        $iter.next().unwrap().parse::<$t>().expect("Parse error")
    };
}
// ---------- end input macro ----------
// ---------- begin max flow (Dinic) ----------
mod maxflow {
    pub trait MaxFlowCapacity:
        Copy + Ord + std::ops::Add<Output = Self> + std::ops::Sub<Output = Self>
    {
        fn zero() -> Self;
        fn inf() -> Self;
    }

    macro_rules! impl_primitive_integer_capacity {
        ($x:ty, $y:expr) => {
            impl MaxFlowCapacity for $x {
                fn zero() -> Self {
                    0
                }
                fn inf() -> Self {
                    $y
                }
            }
        };
    }

    impl_primitive_integer_capacity!(u32, std::u32::MAX);
    impl_primitive_integer_capacity!(u64, std::u64::MAX);
    impl_primitive_integer_capacity!(i32, std::i32::MAX);
    impl_primitive_integer_capacity!(i64, std::i64::MAX);

    #[derive(Clone)]
    struct Edge<Cap> {
        to_: u32,
        inv_: u32,
        cap_: Cap,
    }

    impl<Cap> Edge<Cap> {
        fn new(to: usize, inv: usize, cap: Cap) -> Self {
            Edge {
                to_: to as u32,
                inv_: inv as u32,
                cap_: cap,
            }
        }
        fn to(&self) -> usize {
            self.to_ as usize
        }
        fn inv(&self) -> usize {
            self.inv_ as usize
        }
    }

    impl<Cap: MaxFlowCapacity> Edge<Cap> {
        fn add(&mut self, cap: Cap) {
            self.cap_ = self.cap_ + cap;
        }
        fn sub(&mut self, cap: Cap) {
            self.cap_ = self.cap_ - cap;
        }
        fn cap(&self) -> Cap {
            self.cap_
        }
    }

    pub struct Graph<Cap> {
        graph: Vec<Vec<Edge<Cap>>>,
    }

    #[allow(dead_code)]
    pub struct EdgeIndex {
        src: usize,
        dst: usize,
        x: usize,
        y: usize,
    }

    impl<Cap: MaxFlowCapacity> Graph<Cap> {
        pub fn new(size: usize) -> Self {
            Self {
                graph: vec![vec![]; size],
            }
        }
        pub fn add_edge(&mut self, src: usize, dst: usize, cap: Cap) -> EdgeIndex {
            assert!(src.max(dst) < self.graph.len());
            assert!(cap >= Cap::zero());
            assert!(src != dst);
            let x = self.graph[src].len();
            let y = self.graph[dst].len();
            self.graph[src].push(Edge::new(dst, y, cap));
            self.graph[dst].push(Edge::new(src, x, Cap::zero()));
            EdgeIndex { src, dst, x, y }
        }
        // src, dst, used, intial_capacity
        #[allow(dead_code)]
        pub fn get_edge(&self, e: &EdgeIndex) -> (usize, usize, Cap, Cap) {
            let max = self.graph[e.src][e.x].cap() + self.graph[e.dst][e.y].cap();
            let used = self.graph[e.dst][e.y].cap();
            (e.src, e.dst, used, max)
        }
        pub fn flow(&mut self, src: usize, dst: usize) -> Cap {
            let size = self.graph.len();
            assert!(src.max(dst) < size);
            assert!(src != dst);
            let mut queue = std::collections::VecDeque::new();
            let mut level = vec![0; size];
            let mut it = vec![0; size];
            let mut ans = Cap::zero();
            loop {
                (|| {
                    level.clear();
                    level.resize(size, 0);
                    level[src] = 1;
                    queue.clear();
                    queue.push_back(src);
                    while let Some(v) = queue.pop_front() {
                        let d = level[v] + 1;
                        for e in self.graph[v].iter() {
                            let u = e.to();
                            if e.cap() > Cap::zero() && level[u] == 0 {
                                level[u] = d;
                                if u == dst {
                                    return;
                                }
                                queue.push_back(u);
                            }
                        }
                    }
                })();
                if level[dst] == 0 {
                    break;
                }
                it.clear();
                it.resize(size, 0);
                loop {
                    let f = self.dfs(dst, src, Cap::inf(), &mut it, &level);
                    if f == Cap::zero() {
                        break;
                    }
                    ans = ans + f;
                }
            }
            ans
        }
        fn dfs(&mut self, v: usize, src: usize, cap: Cap, it: &mut [usize], level: &[u32]) -> Cap {
            if v == src {
                return cap;
            }
            while let Some((u, inv)) = self.graph[v].get(it[v]).map(|p| (p.to(), p.inv())) {
                if level[u] + 1 == level[v] && self.graph[u][inv].cap() > Cap::zero() {
                    let cap = cap.min(self.graph[u][inv].cap());
                    let c = self.dfs(u, src, cap, it, level);
                    if c > Cap::zero() {
                        self.graph[v][it[v]].add(c);
                        self.graph[u][inv].sub(c);
                        return c;
                    }
                }
                it[v] += 1;
            }
            Cap::zero()
        }
    }
}
// ---------- end max flow (Dinic) ----------
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