結果

問題 No.1678 Coin Trade (Multiple)
ユーザー akakimidoriakakimidori
提出日時 2021-08-14 02:13:23
言語 Rust
(1.77.0 + proconio)
結果
AC  
実行時間 509 ms / 5,000 ms
コード長 5,888 bytes
コンパイル時間 11,796 ms
コンパイル使用メモリ 398,204 KB
実行使用メモリ 14,628 KB
最終ジャッジ日時 2024-06-11 21:41:11
合計ジャッジ時間 21,047 ms
ジャッジサーバーID
（参考情報） 		judge4 / judge5
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 1 ms
6,816 KB
testcase_01 AC 1 ms
6,812 KB
testcase_02 AC 1 ms
6,940 KB
testcase_03 AC 35 ms
7,552 KB
testcase_04 AC 231 ms
11,692 KB
testcase_05 AC 90 ms
13,760 KB
testcase_06 AC 64 ms
12,552 KB
testcase_07 AC 201 ms
8,576 KB
testcase_08 AC 129 ms
9,472 KB
testcase_09 AC 101 ms
13,804 KB
testcase_10 AC 42 ms
6,940 KB
testcase_11 AC 161 ms
10,860 KB
testcase_12 AC 34 ms
6,940 KB
testcase_13 AC 384 ms
13,108 KB
testcase_14 AC 101 ms
7,424 KB
testcase_15 AC 115 ms
10,748 KB
testcase_16 AC 22 ms
10,488 KB
testcase_17 AC 100 ms
13,852 KB
testcase_18 AC 1 ms
6,944 KB
testcase_19 AC 0 ms
6,944 KB
testcase_20 AC 1 ms
6,940 KB
testcase_21 AC 1 ms
6,940 KB
testcase_22 AC 0 ms
6,944 KB
testcase_23 AC 1 ms
6,940 KB
testcase_24 AC 1 ms
6,944 KB
testcase_25 AC 1 ms
6,940 KB
testcase_26 AC 1 ms
6,940 KB
testcase_27 AC 1 ms
6,940 KB
testcase_28 AC 0 ms
6,940 KB
testcase_29 AC 1 ms
6,944 KB
testcase_30 AC 1 ms
6,940 KB
testcase_31 AC 0 ms
6,940 KB
testcase_32 AC 1 ms
6,944 KB
testcase_33 AC 1 ms
6,940 KB
testcase_34 AC 1 ms
6,940 KB
testcase_35 AC 1 ms
6,944 KB
testcase_36 AC 1 ms
6,940 KB
testcase_37 AC 0 ms
6,940 KB
testcase_38 AC 1 ms
6,940 KB
testcase_39 AC 1 ms
6,944 KB
testcase_40 AC 1 ms
6,944 KB
testcase_41 AC 1 ms
6,944 KB
testcase_42 AC 1 ms
6,944 KB
testcase_43 AC 1 ms
6,944 KB
testcase_44 AC 1 ms
6,940 KB
testcase_45 AC 1 ms
6,940 KB
testcase_46 AC 1 ms
6,940 KB
testcase_47 AC 1 ms
6,944 KB
testcase_48 AC 502 ms
14,488 KB
testcase_49 AC 501 ms
14,344 KB
testcase_50 AC 509 ms
14,484 KB
testcase_51 AC 505 ms
14,628 KB
testcase_52 AC 508 ms
14,472 KB
testcase_53 AC 504 ms
14,372 KB
testcase_54 AC 493 ms
14,488 KB
testcase_55 AC 502 ms
14,600 KB
testcase_56 AC 495 ms
14,472 KB
testcase_57 AC 495 ms
14,232 KB
testcase_58 AC 428 ms
14,128 KB
権限があれば一括ダウンロードができます

ソースコード

diff # 

const INF: i64 = 1_000_000_000_000_000i64 + 1;

struct Graph {
    size: usize,
    edge: Vec<(usize, usize, i64, i64)>,
}

impl Graph {
    fn new(size: usize) -> Self {
        Graph {
            size: size,
            edge: vec![],
        }
    }
    fn add_edge(&mut self, src: usize, dst: usize, capa: i64, cost: i64) {
        assert!(src < self.size && dst < self.size && src != dst);
        self.edge.push((src, dst, capa, cost));
    }
    fn flow(&self, src: usize, dst: usize, flow: i64) -> Vec<(i64, i64)> {
        assert!(src != dst);
        let size = self.size;
        let edge = &self.edge;
        let mut deg = vec![0; size];
        for &(a, b, _, _) in edge.iter() {
            deg[a] += 1;
            deg[b] += 1;
        }
        let mut graph: Vec<_> = deg.into_iter().map(|d| Vec::with_capacity(d)).collect();
        for &(a, b, capa, cost) in edge.iter() {
            let x = graph[a].len();
            let y = graph[b].len();
            graph[a].push((b, capa, cost, y));
            graph[b].push((a, 0, -cost, x));
        }
        let mut sum = 0;
        let mut res = vec![];
        let mut used = 0;
        let mut dp = Vec::with_capacity(size);
        let mut pot = vec![0; size];
        let mut h = std::collections::BinaryHeap::new();
        while used < flow {
            dp.clear();
            dp.resize(size, (INF, src, 0)); // コスト、親、親からの番号
            dp[src] = (0, src, 0);
            if used > 0 {
                h.push((0, src));
                while let Some((d, v)) = h.pop() {
                    let d = -d;
                    if d > dp[v].0 {
                        continue;
                    }
                    for (i, &(u, capa, cost, _)) in graph[v].iter().enumerate() {
                        if capa == 0 {
                            continue;
                        }
                        let c = d + cost - pot[u] + pot[v];
                        if c < dp[u].0 {
                            dp[u] = (c, v, i);
                            h.push((-c, u));
                        }
                    }
                }
            } else {
                let mut deg = vec![0; size];
                for &(dst, capa, _, _) in graph.iter().flat_map(|g| g.iter()) {
                    if capa > 0 {
                        deg[dst] += 1;
                    }
                }
                let mut dfs = vec![];
                for (i, deg) in deg.iter().enumerate() {
                    if *deg == 0 {
                        dfs.push(i);
                    }
                }
                while let Some(v) = dfs.pop() {
                    for (i, &(u, capa, cost, _)) in graph[v].iter().enumerate() {
                        if capa == 0 {
                            continue;
                        }
                        let c = dp[v].0 + cost;
                        if c < dp[u].0 {
                            dp[u] = (c, v, i);
                        }
                        deg[u] -= 1;
                        if deg[u] == 0 {
                            dfs.push(u);
                        }
                    }
                }
            }
            if dp[dst].0 == INF {
                break;
            }
            for i in 0..size {
                pot[i] -= dp[dst].0 - dp[i].0;
            }
            let mut sub = 1;
            let mut pos = dst;
            while pos != src {
                let (_, parent, k) = dp[pos];
                sub = std::cmp::min(sub, graph[parent][k].1);
                pos = parent;
            }
            let mut pos = dst;
            while pos != src {
                let (_, parent, k) = dp[pos];
                let inv = graph[parent][k].3;
                graph[parent][k].1 -= sub;
                graph[pos][inv].1 += sub;
                pos = parent;
            }
            used += sub;
            sum += -pot[src] * sub;
            res.push((used, sum));
        }
        res
    }
}
// ---------- begin scannner ----------
#[allow(dead_code)]
mod scanner {
    use std::str::FromStr;
    pub struct Scanner<'a> {
        it: std::str::SplitWhitespace<'a>,
    }
    impl<'a> Scanner<'a> {
        pub fn new(s: &'a String) -> Scanner<'a> {
            Scanner {
                it: s.split_whitespace(),
            }
        }
        pub fn next<T: FromStr>(&mut self) -> T {
            self.it.next().unwrap().parse::<T>().ok().unwrap()
        }
        pub fn next_bytes(&mut self) -> Vec<u8> {
            self.it.next().unwrap().bytes().collect()
        }
        pub fn next_chars(&mut self) -> Vec<char> {
            self.it.next().unwrap().chars().collect()
        }
        pub fn next_vec<T: FromStr>(&mut self, len: usize) -> Vec<T> {
            (0..len).map(|_| self.next()).collect()
        }
    }
}
// ---------- end scannner ----------

use std::io::Write;

fn main() {
    use std::io::Read;
    let mut s = String::new();
    std::io::stdin().read_to_string(&mut s).unwrap();
    let mut sc = scanner::Scanner::new(&s);
    let out = std::io::stdout();
    let mut out = std::io::BufWriter::new(out.lock());
    run(&mut sc, &mut out);
}

fn run<W: Write>(sc: &mut scanner::Scanner, out: &mut std::io::BufWriter<W>) {
    let n: usize = sc.next();
    let k: i64 = sc.next();
    let mut g = Graph::new(n + 1);
    let src = 0;
    let dst = n;
    for i in 1..=n {
        g.add_edge(i - 1, i, k, 0);
    }
    let mut a = vec![0i64; n];
    for i in 0..n {
        a[i] = sc.next();
        let m: usize = sc.next();
        for _ in 0..m {
            let b = sc.next::<usize>() - 1;
            if a[b] < a[i] {
                g.add_edge(b, i, 1, -(a[i] - a[b]));
            }
        }
    }
    let res = g.flow(src, dst, k);
    let ans = -res.iter().map(|p| p.1).min().unwrap_or(0);
    writeln!(out, "{}", ans).ok();
}
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