結果

問題 No.1582 Vertexes vs Edges
ユーザー りあんりあん
提出日時 2021-07-02 22:52:54
言語 C#(csc)
(csc 3.9.0)
結果
AC  
実行時間 753 ms / 2,000 ms
コード長 9,464 bytes
コンパイル時間 3,401 ms
コンパイル使用メモリ 115,584 KB
実行使用メモリ 73,192 KB
最終ジャッジ日時 2024-06-29 12:44:49
合計ジャッジ時間 13,510 ms
ジャッジサーバーID
（参考情報） 		judge1 / judge4
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 31 ms
18,944 KB
testcase_01 AC 30 ms
19,328 KB
testcase_02 AC 32 ms
19,072 KB
testcase_03 AC 31 ms
18,816 KB
testcase_04 AC 39 ms
21,376 KB
testcase_05 AC 308 ms
64,244 KB
testcase_06 AC 40 ms
21,792 KB
testcase_07 AC 65 ms
27,648 KB
testcase_08 AC 159 ms
42,988 KB
testcase_09 AC 309 ms
61,540 KB
testcase_10 AC 174 ms
46,436 KB
testcase_11 AC 49 ms
25,216 KB
testcase_12 AC 116 ms
35,328 KB
testcase_13 AC 322 ms
48,612 KB
testcase_14 AC 366 ms
50,796 KB
testcase_15 AC 586 ms
59,876 KB
testcase_16 AC 197 ms
41,728 KB
testcase_17 AC 310 ms
46,192 KB
testcase_18 AC 605 ms
73,192 KB
testcase_19 AC 289 ms
53,240 KB
testcase_20 AC 318 ms
46,948 KB
testcase_21 AC 256 ms
46,712 KB
testcase_22 AC 465 ms
65,516 KB
testcase_23 AC 147 ms
36,736 KB
testcase_24 AC 84 ms
28,032 KB
testcase_25 AC 241 ms
43,520 KB
testcase_26 AC 179 ms
36,608 KB
testcase_27 AC 458 ms
56,300 KB
testcase_28 AC 128 ms
34,176 KB
testcase_29 AC 384 ms
51,948 KB
testcase_30 AC 212 ms
38,912 KB
testcase_31 AC 419 ms
54,500 KB
testcase_32 AC 135 ms
32,896 KB
testcase_33 AC 674 ms
70,244 KB
testcase_34 AC 683 ms
70,396 KB
testcase_35 AC 753 ms
71,524 KB
testcase_36 AC 31 ms
18,816 KB
testcase_37 AC 31 ms
18,816 KB
testcase_38 AC 32 ms
19,072 KB
権限があれば一括ダウンロードができます
コンパイルメッセージ
Microsoft (R) Visual C# Compiler version 3.9.0-6.21124.20 (db94f4cc)
Copyright (C) Microsoft Corporation. All rights reserved.

ソースコード

diff # 

using System;
using System.Collections.Generic;
using System.Linq;
using System.IO;
using System.Threading;
using System.Text;
using System.Text.RegularExpressions;
using System.Diagnostics;
using static util;
using P = pair<int, int>;

class Program {
    static void Main(string[] args) {
        var sw = new StreamWriter(Console.OpenStandardOutput()) { AutoFlush = false };
        var solver = new Solver(sw);
        // var t = new Thread(solver.solve, 1 << 28); // 256 MB
        // t.Start();
        // t.Join();
        solver.solve();
        sw.Flush();
    }
}

class Solver {
    StreamWriter sw;
    Scan sc;
    void Prt(string a) => sw.WriteLine(a);
    void Prt<T>(IEnumerable<T> a) => Prt(string.Join(" ", a));
    void Prt(params object[] a) => Prt(string.Join(" ", a));
    public Solver(StreamWriter sw) {
        this.sw = sw;
        this.sc = new Scan();
    }

    public void solve() {
        int n = sc.Int;
        var edge = new List<int>[n];
        for (int i = 0; i < n; i++)
        {
            edge[i] = new List<int>();
        }
        for (int i = 0; i < n - 1; i++)
        {
            int u, v;
            sc.Multi(out u, out v);
            --u;
            --v;
            edge[u].Add(v);
            edge[v].Add(u);
        }
        var col = new int[n];
        for (int i = 0; i < n; i++)
        {
            col[i] = -1;
        }
        col[0] = 0;
        var q = new Queue<int>();
        q.Enqueue(0);
        while (q.Any()) {
            int p = q.Dequeue();
            foreach (var item in edge[p])
            {
                if (col[item] == -1) {
                    col[item] = col[p] ^ 1;
                    q.Enqueue(item);
                }
            }
        }
        var mf = new MaxFlow(n + 2);
        int S = n, T = n + 1;
        for (int i = 0; i < n; i++)
        {
            if (col[i] == 0) {
                mf.add_edge(S, i, 1);
                foreach (var item in edge[i])
                {
                    mf.add_edge(i, item, 1);
                }
            }
            else {
                mf.add_edge(i, T, 1);
            }
        }
        Prt(mf.run(S, T));

    }
}

class pair<T, U> : IComparable<pair<T, U>> {
    public T v1;
    public U v2;
    public pair() : this(default(T), default(U)) {}
    public pair(T v1, U v2) { this.v1 = v1; this.v2 = v2; }
    public int CompareTo(pair<T, U> a) {
        int c = Comparer<T>.Default.Compare(v1, a.v1);
        return c != 0 ? c : Comparer<U>.Default.Compare(v2, a.v2);
    }
    public override string ToString() => $"{v1} {v2}";
    public void Deconstruct(out T a, out U b) { a = v1; b = v2; }
}
static class util {
    public static readonly int M = 1000000007;
    // public static readonly int M = 998244353;
    public static readonly long LM = 1L << 60;
    public static readonly double eps = 1e-11;
    public static void DBG(string a) => Console.Error.WriteLine(a);
    public static void DBG<T>(IEnumerable<T> a) => DBG(string.Join(" ", a));
    public static void DBG(params object[] a) => DBG(string.Join(" ", a));
    public static void Assert(params bool[] conds) {
        if (conds.Any(x => !x)) throw new Exception();
    }
    public static pair<T, U> make_pair<T, U>(T v1, U v2) => new pair<T, U>(v1, v2);
    public static int CompareList<T>(IList<T> a, IList<T> b) where T : IComparable<T> {
        for (int i = 0; i < a.Count && i < b.Count; i++)
            if (a[i].CompareTo(b[i]) != 0) return a[i].CompareTo(b[i]);
        return a.Count.CompareTo(b.Count);
    }
    public static bool inside(int i, int j, int h, int w) => i >= 0 && i < h && j >= 0 && j < w;
    public static readonly int[] dd = { 0, 1, 0, -1 };
    // static readonly string dstring = "RDLU";
    public static IEnumerable<P> adjacents(int i, int j) {
        for (int k = 0; k < 4; k++) yield return new P(i + dd[k], j + dd[k ^ 1]);
    }
    public static IEnumerable<P> adjacents(int i, int j, int h, int w) {
        for (int k = 0; k < 4; k++) if (inside(i + dd[k], j + dd[k ^ 1], h, w))
            yield return new P(i + dd[k], j + dd[k ^ 1]);
    }
    public static IEnumerable<P> adjacents(this P p) => adjacents(p.v1, p.v2);
    public static IEnumerable<P> adjacents(this P p, int h, int w) => adjacents(p.v1, p.v2, h, w);
    public static IEnumerable<int> all_subset(this int p) {
        for (int i = 0; ; i = i - p & p) {
            yield return i;
            if (i == p) break;
        }
    }
    public static Dictionary<T, int> compress<T>(this IEnumerable<T> a)
        => a.Distinct().OrderBy(v => v).Select((v, i) => new { v, i }).ToDictionary(p => p.v, p => p.i);
    public static Dictionary<T, int> compress<T>(params IEnumerable<T>[] a)
        => compress(a.SelectMany(x => x));
    public static T[] inv<T>(this Dictionary<T, int> dic) {
        var res = new T[dic.Count];
        foreach (var item in dic) res[item.Value] = item.Key;
        return res;
    }
    public static void swap<T>(ref T a, ref T b) where T : struct { var t = a; a = b; b = t; }
    public static void swap<T>(this IList<T> a, int i, int j) where T : struct {
        var t = a[i]; a[i] = a[j]; a[j] = t;
    }
    public static T[] copy<T>(this IList<T> a) {
        var ret = new T[a.Count];
        for (int i = 0; i < a.Count; i++) ret[i] = a[i];
        return ret;
    }
}

class Scan {
    StreamReader sr;
    public Scan() { sr = new StreamReader(Console.OpenStandardInput()); }
    public Scan(string path) { sr = new StreamReader(path); }
    public int Int => int.Parse(Str);
    public long Long => long.Parse(Str);
    public double Double => double.Parse(Str);
    public string Str => ReadLine.Trim();
    public string ReadLine => sr.ReadLine();
    public pair<T, U> Pair<T, U>() {
        T a; U b;
        Multi(out a, out b);
        return new pair<T, U>(a, b);
    }
    public P P => Pair<int, int>();
    public int[] IntArr => StrArr.Select(int.Parse).ToArray();
    public long[] LongArr => StrArr.Select(long.Parse).ToArray();
    public double[] DoubleArr => StrArr.Select(double.Parse).ToArray();
    public string[] StrArr => Str.Split(new[]{' '}, StringSplitOptions.RemoveEmptyEntries);
    bool eq<T, U>() => typeof(T).Equals(typeof(U));
    T ct<T, U>(U a) => (T)Convert.ChangeType(a, typeof(T));
    T cv<T>(string s) => eq<T, int>()    ? ct<T, int>(int.Parse(s))
                       : eq<T, long>()   ? ct<T, long>(long.Parse(s))
                       : eq<T, double>() ? ct<T, double>(double.Parse(s))
                       : eq<T, char>()   ? ct<T, char>(s[0])
                                         : ct<T, string>(s);
    public void Multi<T>(out T a) => a = cv<T>(Str);
    public void Multi<T, U>(out T a, out U b) {
        var ar = StrArr; a = cv<T>(ar[0]); b = cv<U>(ar[1]);
    }
    public void Multi<T, U, V>(out T a, out U b, out V c) {
        var ar = StrArr; a = cv<T>(ar[0]); b = cv<U>(ar[1]); c = cv<V>(ar[2]);
    }
    public void Multi<T, U, V, W>(out T a, out U b, out V c, out W d) {
        var ar = StrArr; a = cv<T>(ar[0]); b = cv<U>(ar[1]); c = cv<V>(ar[2]); d = cv<W>(ar[3]);
    }
    public void Multi<T, U, V, W, X>(out T a, out U b, out V c, out W d, out X e) {
        var ar = StrArr;
        a = cv<T>(ar[0]); b = cv<U>(ar[1]); c = cv<V>(ar[2]); d = cv<W>(ar[3]); e = cv<X>(ar[4]);
    }
    public void Multi<T, U, V, W, X, Y>(out T a, out U b, out V c, out W d, out X e, out Y f) {
        var ar = StrArr;
        a = cv<T>(ar[0]); b = cv<U>(ar[1]); c = cv<V>(ar[2]);
        d = cv<W>(ar[3]); e = cv<X>(ar[4]); f = cv<Y>(ar[5]);
    }
}

class MaxFlow {
    public class edge {
        public int to;
        public long cap;
        public int rev;
        public edge(int t, long c, int r) { to = t; cap = c; rev = r; }
    }
    int V;
    List<edge>[] G;
    int[] itr, lev;
    public List<edge>[] getEdges() => G;

    public MaxFlow(int v) {
        V = v; G = new List<edge>[v];
        for (int i = 0; i < v; ++i) G[i] = new List<edge>();
    }
    public void add_edge(int frm, int to, long c) => add_edge(frm, to, c, true);
    public void add_edge(int frm, int to, long c, bool dir) {
        G[frm].Add(new edge(to, c, G[to].Count));
        G[to].Add(new edge(frm, dir ? 0 : c, G[frm].Count - 1));
    }
    void bfs(int s) {
        lev = new int[V];
        for (int i = 0; i < V; ++i) lev[i] = -1;
        var q = new Queue<int>();
        lev[s] = 0;
        q.Enqueue(s);
        while (q.Count > 0) {
            int v = q.Dequeue();
            foreach (var e in G[v]) {
                if (e.cap > 0 && lev[e.to] < 0) {
                    lev[e.to] = lev[v] + 1;
                    q.Enqueue(e.to);
                }
            }
        }
    }
    long dfs(int v, int t, long f) {
        if (v == t) return f;
        for (; itr[v] < G[v].Count; ++itr[v]) {
            var e = G[v][itr[v]];
            if (e.cap > 0 && lev[v] < lev[e.to]) {
                long d = dfs(e.to, t, f < e.cap ? f : e.cap);
                if (d > 0) {
                    e.cap -= d;
                    G[e.to][e.rev].cap += d;
                    return d;
                }
            }
        }
        return 0;
    }

    public long run(int s, int t) {
        long ret = 0;
        bfs(s);
        while (lev[t] >= 0) {
            itr = new int[V];
            long f;
            while ((f = dfs(s, t, util.LM)) > 0) ret += f;
            bfs(s);
        }
        return ret;
    }
}
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