#771688 (Rust) No.1984 [Cherry 4th Tune *] Dilemma

• 問題: No.1984 [Cherry 4th Tune *] Dilemma
• ユーザー: akakimidori
• 提出日時: 2022-06-17 21:40:38
• 言語: Rust (1.77.0 + proconio)
• 結果: AC
• 実行時間: 2 ms / 2,000 ms
• コード長: 8,668 bytes
• コンパイル時間: 13,720 ms
• コンパイル使用メモリ: 378,240 KB
• 実行使用メモリ: 5,248 KB
• 最終ジャッジ日時: 2024-11-08 13:58:55
• 合計ジャッジ時間: 19,874 ms
• ジャッジサーバーID （参考情報）: judge1 / judge4

入力	結果	実行時間; 実行使用メモリ
testcase_00	AC	1 ms; 5,248 KB
testcase_01	AC	1 ms; 5,248 KB
testcase_02	AC	1 ms; 5,248 KB
testcase_03	AC	1 ms; 5,248 KB
testcase_04	AC	1 ms; 5,248 KB
testcase_05	AC	1 ms; 5,248 KB
testcase_06	AC	1 ms; 5,248 KB
testcase_07	AC	1 ms; 5,248 KB
testcase_08	AC	1 ms; 5,248 KB
testcase_09	AC	1 ms; 5,248 KB
testcase_10	AC	1 ms; 5,248 KB
testcase_11	AC	1 ms; 5,248 KB
testcase_12	AC	1 ms; 5,248 KB
testcase_13	AC	1 ms; 5,248 KB
testcase_14	AC	1 ms; 5,248 KB
testcase_15	AC	1 ms; 5,248 KB
testcase_16	AC	1 ms; 5,248 KB
testcase_17	AC	1 ms; 5,248 KB
testcase_18	AC	2 ms; 5,248 KB
testcase_19	AC	1 ms; 5,248 KB
testcase_20	AC	1 ms; 5,248 KB
testcase_21	AC	1 ms; 5,248 KB
testcase_22	AC	1 ms; 5,248 KB
testcase_23	AC	2 ms; 5,248 KB
testcase_24	AC	1 ms; 5,248 KB
testcase_25	AC	1 ms; 5,248 KB
testcase_26	AC	2 ms; 5,248 KB
testcase_27	AC	2 ms; 5,248 KB
testcase_28	AC	1 ms; 5,248 KB
testcase_29	AC	1 ms; 5,248 KB
testcase_30	AC	2 ms; 5,248 KB
testcase_31	AC	1 ms; 5,248 KB
testcase_32	AC	1 ms; 5,248 KB
testcase_33	AC	1 ms; 5,248 KB
testcase_34	AC	1 ms; 5,248 KB
testcase_35	AC	1 ms; 5,248 KB
testcase_36	AC	1 ms; 5,248 KB
testcase_37	AC	1 ms; 5,248 KB
testcase_38	AC	1 ms; 5,248 KB
testcase_39	AC	1 ms; 5,248 KB
testcase_40	AC	1 ms; 5,248 KB
testcase_41	AC	1 ms; 5,248 KB
testcase_42	AC	1 ms; 5,248 KB
testcase_43	AC	1 ms; 5,248 KB
testcase_44	AC	1 ms; 5,248 KB
testcase_45	AC	1 ms; 5,248 KB
testcase_46	AC	1 ms; 5,248 KB
testcase_47	AC	1 ms; 5,248 KB
testcase_48	AC	1 ms; 5,248 KB
testcase_49	AC	1 ms; 5,248 KB
testcase_50	AC	1 ms; 5,248 KB
testcase_51	AC	1 ms; 5,248 KB
testcase_52	AC	1 ms; 5,248 KB
testcase_53	AC	2 ms; 5,248 KB
testcase_54	AC	1 ms; 5,248 KB
testcase_55	AC	1 ms; 5,248 KB
testcase_56	AC	1 ms; 5,248 KB
testcase_57	AC	1 ms; 5,248 KB
testcase_58	AC	1 ms; 5,248 KB
testcase_59	AC	1 ms; 5,248 KB
testcase_60	AC	1 ms; 5,248 KB
testcase_61	AC	1 ms; 5,248 KB
testcase_62	AC	1 ms; 5,248 KB
testcase_63	AC	2 ms; 5,248 KB
testcase_64	AC	1 ms; 5,248 KB
testcase_65	AC	1 ms; 5,248 KB
testcase_66	AC	1 ms; 5,248 KB
testcase_67	AC	1 ms; 5,248 KB

コンパイルメッセージ

warning: type alias `Map` is never used
   --> src/main.rs:212:6
    |
212 | type Map<K, V> = BTreeMap<K, V>;
    |      ^^^
    |
    = note: `#[warn(dead_code)]` on by default

warning: type alias `Set` is never used
   --> src/main.rs:213:6
    |
213 | type Set<T> = BTreeSet<T>;
    |      ^^^

warning: type alias `Deque` is never used
   --> src/main.rs:214:6
    |
214 | type Deque<T> = VecDeque<T>;
    |      ^^^^^

ソースコード

// ---------- 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()
        }
        pub fn min_cut(&self, src: usize) -> Vec<bool> {
            let size = self.graph.len();
            let mut visited = vec![false; size];
            visited[src] = true;
            let mut q = std::collections::VecDeque::new();
            q.push_back(src);
            while let Some(v) = q.pop_front() {
                for e in self.graph[v].iter() {
                    let u = e.to();
                    if e.cap() > Cap::zero() && !visited[u] {
                        visited[u] = true;
                        q.push_back(u);
                    }
                }
            }
            visited
        }
    }
}
// ---------- end max flow (Dinic) ----------
// ---------- 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;
use std::collections::*;

type Map<K, V> = BTreeMap<K, V>;
type Set<T> = BTreeSet<T>;
type Deque<T> = VecDeque<T>;

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 m: usize = sc.next();
    let k: usize = sc.next();
    let p: usize = sc.next();
    let mut g = maxflow::Graph::new(n + m + k + 2);
    let src = n + m + k;
    let dst = src + 1;
    let mut sum = 0;
    for i in 0..n {
        let e: i64 = sc.next();
        sum += e;
        g.add_edge(src, i, e);
    }
    for j in 0..m {
        let f: i64 = sc.next();
        sum += f;
        g.add_edge(n + j, dst, f);
    }
    for i in 0..k {
        let v: i64 = sc.next();
        g.add_edge(n + m + i, dst, v);
    }
    let inf = std::i64::MAX / 10;
    for i in 0..n {
        let l: usize = sc.next();
        for _ in 0..l {
            let a = sc.next::<usize>() - 1;
            g.add_edge(i, n + m + a, inf);
        }
    }
    for _ in 0..p {
        let x = sc.next::<usize>() - 1;
        let y = sc.next::<usize>() - 1;
        g.add_edge(x, n + y, inf);
    }
    sum -= g.flow(src, dst);
    writeln!(out, "{}", sum).ok();
    let mut ans = vec![];
    let cut = g.min_cut(src);
    for i in 0..m {
        if !cut[n + i] {
            ans.push(format!("Action {}", i + 1));
        }
    }
    for i in 0..k {
        if cut[n + m + i] {
            ans.push(format!("Preparation {}", i + 1));
        }
    }
    for i in 0..n {
        if cut[i] {
            ans.push(format!("Goal {}", i + 1));
        }
    }
    writeln!(out, "{}", ans.len()).ok();
    for s in ans {
        writeln!(out, "{}", s).ok();
    }
}