結果

問題 No.719 Coprime
ユーザー EmKjp
提出日時 2019-06-10 08:35:38
言語 C#(csc)
(csc 3.9.0)
結果
WA  
実行時間 -
コード長 6,916 bytes
コンパイル時間 1,124 ms
コンパイル使用メモリ 116,612 KB
実行使用メモリ 29,732 KB
最終ジャッジ日時 2024-10-06 00:31:42
合計ジャッジ時間 6,612 ms
ジャッジサーバーID
（参考情報） 		judge5 / judge4
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ファイルパターン 結果
other AC * 17 WA * 44
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 #
プレゼンテーションモードにする

using System;
using System.IO;
using System.Collections.Generic;
using System.Globalization;
using System.Linq;
using System.Text;
using E = System.Linq.Enumerable;
partial class Solver
{
    const int Mod = 1000000007;
    public void Run()
    {
        var N = ni();
        var primeSet = new PrimeSet(1263);
        var factor = primeSet
            .Select(p => GetFactor(p, N))
            .Where(p => p.Count > 0)
            .ToArray();
        var f1 = factor.Where(f => f.Count >= 2).ToArray();
        var f2 = factor.Where(f => f.Count < 2).ToArray();
        var M = f1.Length;
        var maxV = new int[1 << M];
        var vList = E.Range(0, 1 << M).Select(_ => new List<int>()).ToArray();
        for (int i = 1; i <= N; i++)
        {
            var v = i;
            int flags = 0;
            for (int j = 0; j < f1.Length; j++)
            {
                var p = f1[j].Prime;
                if (v % p == 0)
                {
                    flags |= (1 << j);
                    while (v % p == 0) v /= p;
                }
            }
            if (v > 1) continue;
            maxV[flags] = i;
            vList[flags].Add(i);
        }
        var dp1 = new int[1 << M];
        for (int i = 1; i < dp1.Length; i++)
        {
            dp1[i] = int.MinValue;
            for (int j = i; j > 0; j = (j - 1) & i)
            {
                var pre = i ^ j;
                dp1[i] = Math.Max(dp1[i], dp1[pre] + maxV[j]);
            }
        }
        var dp2 = new int[1 << M];
        foreach (var p in f2)
        {
            var next = new int[1 << M];
            for (int i = 0; i < dp2.Length; i++)
            {
                next[i] = dp2[i] + p.Prime;
                for (int j = i; j > 0; j = (j - 1) & i)
                {
                    var v = 0;
                    for (int k = vList[j].Count - 1; k >= 0; k--)
                    {
                        if (vList[j][k] * p.Prime <= N)
                        {
                            v = vList[j][k];
                            break;
                        }
                    }
                    next[i] = Math.Max(next[i], dp2[i ^ j] + v);
                }
            }
            dp2 = next;
        }
        long ans = 0;
        for (int i = 0; i < (1 << M); i++)
        {
            ans = Math.Max(ans, dp1[i] + dp2[((1 << M) - 1) ^ i]);
        }
        cout.WriteLine(ans);
    }
    Factor GetFactor(int prime, int N)
    {
        int cnt = 0;
        long x = prime;
        while (x <= N)
        {
            x *= prime;
            cnt++;
        }
        return new Factor { Prime = prime, Count = cnt };
    }
    struct Factor
    {
        public int Prime { get; set; }
        public int Count { get; set; }
    }
}
public class PrimeSet : List<int>
{
    private readonly bool[] isPrime;
    public PrimeSet(int size)
        : base()
    {
        isPrime = Enumerable.Repeat(true, size).ToArray();
        Add(2);
        for (int i = 3; i <= size; i += 2)
        {
            if (!isPrime[i >> 1]) continue;
            Add(i);
            for (long j = (long)i * i; j <= size; j += i + i)
                isPrime[j >> 1] = false;
        }
    }
    public bool IsPrime(long x)
    {
        if (x == 2) return true;
        if (x <= 1 || x % 2 == 0) return false;
        return isPrime[x >> 1];
    }
}
// PREWRITEN CODE BEGINS FROM HERE
partial class Solver : Scanner
{
    public static void Main(string[] args)
    {
#if LOCAL
        new Solver(Console.In, Console.Out).Run();
#else
        Console.SetOut(new StreamWriter(Console.OpenStandardOutput()) { AutoFlush = false });
        new Solver(Console.In, Console.Out).Run();
        Console.Out.Flush();
#endif
    }
#pragma warning disable IDE0052
    private readonly TextReader cin;
    private readonly TextWriter cout;
#pragma warning restore IDE0052
    public Solver(TextReader reader, TextWriter writer)
        : base(reader)
    {
        this.cin = reader;
        this.cout = writer;
    }
    public Solver(string input, TextWriter writer)
        : this(new StringReader(input), writer)
    {
    }
#pragma warning disable IDE1006
#pragma warning disable IDE0051
    private int ni() { return NextInt(); }
    private int[] ni(int n) { return NextIntArray(n); }
    private long nl() { return NextLong(); }
    private long[] nl(int n) { return NextLongArray(n); }
    private double nd() { return NextDouble(); }
    private double[] nd(int n) { return NextDoubleArray(n); }
    private string ns() { return Next(); }
    private string[] ns(int n) { return NextArray(n); }
#pragma warning restore IDE1006
#pragma warning restore IDE0051
}
public static class LinqPadExtension
{
    static public T Dump<T>(this T obj)
    {
#if LOCAL
        return LINQPad.Extensions.Dump(obj);
#else
        return obj;
#endif
    }
}
public class Scanner
{
    private readonly TextReader Reader;
    private readonly Queue<string> TokenQueue = new Queue<string>();
    private readonly CultureInfo ci = CultureInfo.InvariantCulture;
    public Scanner()
        : this(Console.In)
    {
    }
    public Scanner(TextReader reader)
    {
        this.Reader = reader;
    }
    public int NextInt() { return int.Parse(Next(), ci); }
    public long NextLong() { return long.Parse(Next(), ci); }
    public double NextDouble() { return double.Parse(Next(), ci); }
    public string[] NextArray(int size)
    {
        var array = new string[size];
        for (int i = 0; i < size; i++) array[i] = Next();
        return array;
    }
    public int[] NextIntArray(int size)
    {
        var array = new int[size];
        for (int i = 0; i < size; i++) array[i] = NextInt();
        return array;
    }
    public long[] NextLongArray(int size)
    {
        var array = new long[size];
        for (int i = 0; i < size; i++) array[i] = NextLong();
        return array;
    }
    public double[] NextDoubleArray(int size)
    {
        var array = new double[size];
        for (int i = 0; i < size; i++) array[i] = NextDouble();
        return array;
    }
    public string Next()
    {
        if (TokenQueue.Count == 0)
        {
            if (!StockTokens()) throw new InvalidOperationException();
        }
        return TokenQueue.Dequeue();
    }
    public bool HasNext()
    {
        if (TokenQueue.Count > 0)
            return true;
        return StockTokens();
    }
    static readonly char[] _separator = new[] { ' ' };
    private bool StockTokens()
    {
        while (true)
        {
            var line = Reader.ReadLine();
            if (line == null) return false;
            var tokens = line.Split(_separator, StringSplitOptions.RemoveEmptyEntries);
            if (tokens.Length == 0) continue;
            foreach (var token in tokens)
                TokenQueue.Enqueue(token);
            return true;
        }
    }
}
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