#117076 (C#(csc)) No.317 辺の追加

• 問題: No.317 辺の追加
• ユーザー: eitaho
• 提出日時: 2016-09-13 15:39:54
• 言語: C#(csc) (csc 3.9.0)
• 結果: AC
• 実行時間: 421 ms / 2,000 ms
• コード長: 4,812 bytes
• コンパイル時間: 926 ms
• コンパイル使用メモリ: 117,260 KB
• 実行使用メモリ: 40,832 KB
• 最終ジャッジ日時: 2024-11-17 04:50:52
• 合計ジャッジ時間: 11,245 ms
• ジャッジサーバーID （参考情報）: judge2 / judge5

ファイルパターン	結果
sample	AC * 2
other	AC * 38

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

using System;
using System.IO;
using System.Linq;
using System.Text;
using System.Text.RegularExpressions;
using System.Collections.Generic;
using System.Diagnostics;
using Enu = System.Linq.Enumerable;

public class Program
{
    public void Solve()
    {
        int N = Reader.Int(), M = Reader.Int();
        var uf = new UnionFind(N);
        for (int i = 0; i < M; i++)
            uf.Unite(Reader.Int() - 1, Reader.Int() - 1);
        var count = new int[N + 1];
        var dp = new int[N + 1];
        for (int i = 1; i <= N; i++) dp[i] = N + 1;
        foreach (var c in uf.Components().Values)
            count[c.Count]++;
        int[] deq = new int[N], deqVal = new int[N];

        for (int size = 1; size <= N; size++)
            if (count[size] > 0)
            {
                int cnt = count[size];
                for (int mod = 0; mod < size; mod++)
                {
                    int s = 0, t = 0;
                    for (int x = 0, i = mod; i <= N; x++, i += size)
                    {
                        int val = dp[i] - x;
                        while (s < t && deqVal[t - 1] >= val) t--;
                        deq[t] = x;
                        deqVal[t++] = val;
                        CheckMin(ref dp[i], deqVal[s] + x);
                        if (deq[s] == x - cnt) s++;
                    }
                }
            }

        Console.WriteLine(string.Join("\n", dp.Skip(1).Select(a => a > N ? -1 : a - 1)));
    }

    bool CheckMin(ref int a, int b) { if (b < a) { a = b; return true; } return false; }


    class UnionFind
    {
        private int[] parent;
        private int[] rank;
        private int[] numElements;

        public UnionFind(int N)
        {
            parent = new int[N];
            rank = new int[N];
            numElements = new int[N];
            for (int i = 0; i < N; i++)
            {
                parent[i] = i;
                numElements[i] = 1;
            }
        }
        public int Root(int x)
        {
            if (parent[x] == x) return x;
            return parent[x] = Root(parent[x]);
        }
        public bool Same(int x, int y)
        {
            return Root(x) == Root(y);
        }
        public int NumElements(int x)
        {
            return numElements[Root(x)];
        }
        public bool Unite(int x, int y)
        {
            x = Root(x); y = Root(y);
            if (x == y) return false;
            if (rank[x] > rank[y]) { var t = x; x = y; y = t; }
            if (rank[x] == rank[y]) rank[y]++;
            parent[x] = y;
            numElements[y] += numElements[x];
            return true;
        }
        public Dictionary<int, List<int>> Components()
        {
            var dic = new Dictionary<int, List<int>>();
            for (int i = 0; i < parent.Length; i++)
            {
                int root = Root(i);
                if (!dic.ContainsKey(root)) dic[root] = new List<int>();
                dic[root].Add(i);
            }
            return dic;
        }
    }
}

class Entry { static void Main() { new Program().Solve(); } }
class Reader
{
    static TextReader reader = Console.In;
    static readonly char[] separator = { ' ' };
    static readonly StringSplitOptions op = StringSplitOptions.RemoveEmptyEntries;
    static string[] A = new string[0];
    static int i;
    static void Init() { A = new string[0]; }
    public static void Set(TextReader r) { reader = r; Init(); }
    public static void Set(string file) { reader = new StreamReader(file); Init(); }
    public static bool HasNext() { return CheckNext(); }
    public static string String() { return Next(); }
    public static int Int() { return int.Parse(Next()); }
    public static long Long() { return long.Parse(Next()); }
    public static double Double() { return double.Parse(Next()); }
    public static int[] IntLine() { return Array.ConvertAll(Split(Line()), int.Parse); }
    public static int[] IntArray(int N) { return Range(N, Int); }
    public static int[][] IntTable(int H) { return Range(H, IntLine); }
    public static string[] StringArray(int N) { return Range(N, Next); }
    public static string[][] StringTable(int N) { return Range(N, () => Split(Line())); }
    public static string Line() { return reader.ReadLine().Trim(); }
    static string[] Split(string s) { return s.Split(separator, op); }
    static T[] Range<T>(int N, Func<T> f) { var r = new T[N]; for (int i = 0; i < N; r[i++] = f()) ; return r; }
    static string Next() { CheckNext(); return A[i++]; }
    static bool CheckNext()
    {
        if (i < A.Length) return true;
        string line = reader.ReadLine();
        if (line == null) return false;
        if (line == "") return CheckNext();
        A = Split(line);
        i = 0;
        return true;
    }
}