結果

問題 No.458 異なる素数の和
ユーザー mnzn
提出日時 2020-01-02 02:22:51
言語 C#(csc)
(csc 3.9.0)
結果
AC  
実行時間 414 ms / 2,000 ms
コード長 5,411 bytes
コンパイル時間 1,517 ms
コンパイル使用メモリ 116,124 KB
実行使用メモリ 45,784 KB
最終ジャッジ日時 2024-11-22 17:36:14
合計ジャッジ時間 5,449 ms
ジャッジサーバーID
（参考情報） 		judge5 / judge1
このコードへのチャレンジ
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ファイルパターン 結果
sample AC * 3
other AC * 28
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.Text;
using System.Text.RegularExpressions;

class Program
{
    static void Main(string[] args)
    {
        var N = sc.ReadInt();
        var p = SieveOfEratosthenes(N);
        var dp = new int[N + 1];
        foreach (var item in p)
        {
            var nextDP = new int[dp.Length];
            for (int i = 0; i < N + 1; i++)
            {
                if (dp[i] > 0)
                {
                    nextDP[i] = Math.Max(nextDP[i], dp[i]);
                    if (i + item <= N)
                    {
                        nextDP[i + item] = Math.Max(nextDP[i + item], dp[i] + 1);
                    }
                }
            }
            nextDP[item] = Math.Max(nextDP[item], 1);
            dp = nextDP;
        }
        var ans = dp[N];
        if (ans == 0) ans = -1;
        Console.WriteLine(ans);
    }

    static List<int> SieveOfEratosthenes(int n)
    {
        var result = new List<int>();
        var list = new List<int>();
        if (n < 2)
        {
            return result;
        }
        else if (n == 2)
        {
            result.Add(2);
            return result;
        }
        for (int i = 2; i <= n; i++) { list.Add(i); };
        while (Math.Pow(list[0], 2) <= n)
        {
            var first = list[0];    // 先頭要素
            result.Add(first);      // 先頭を素数リストへ
            list.Remove(first);     // 先頭要素削除

            // ふるい落とし
            list.RemoveAll(x => x % first == 0);
        }
        // 残りの探索リストを素数リストに追加
        result.AddRange(list.ToArray());
        return result;
    }
    static Scanner sc = new Scanner();
}
class Scanner
{
    string[] S = new string[0];
    int Index = 0;
    char[] Separators = new char[] { ' ' };

    public string Next()
    {
        if (this.Index < this.S.Length) return this.S[this.Index++];
        var line = "";
        while (line == "") line = Console.ReadLine();
        this.S = line.Split(this.Separators, StringSplitOptions.RemoveEmptyEntries);
        if (this.S.Length == 0) return this.Next();
        this.Index = 0;
        return this.S[this.Index++];
    }
    public string ReadStr()
    {
        return this.Next();
    }
    public char ReadChar()
    {
        return this.Next()[0];
    }
    public int ReadInt()
    {
        return int.Parse(this.Next());
    }
    public uint ReadUInt()
    {
        return uint.Parse(this.Next());
    }
    public long ReadLong()
    {
        return long.Parse(this.Next());
    }
    public double ReadDouble()
    {
        return double.Parse(this.Next());
    }
    public Tuple<int, int> ReadTup(int add = 0)
    {
        return Tuple.Create(this.ReadInt() + add, this.ReadInt() + add);
    }
    public Tuple<long, long> ReadTupLong(int add = 0)
    {
        return Tuple.Create(this.ReadLong() + add, this.ReadLong() + add);
    }
    public Tuple<int, int, int> ReadTup3(int add = 0)
    {
        return Tuple.Create(this.ReadInt() + add, this.ReadInt() + add, this.ReadInt() + add);
    }
    public Tuple<int, int, int, int> ReadTup4(int add = 0)
    {
        return Tuple.Create(this.ReadInt() + add, this.ReadInt() + add, this.ReadInt() + add, this.ReadInt() + add);
    }
    public int[] ReadIntArray(int n)
    {
        var array = new int[n];
        for (int i = 0; i < array.Length; i++)
        {
            array[i] = this.ReadInt();
        }
        return array;
    }
    public long[] ReadLongArray(int n)
    {
        var array = new long[n];
        for (int i = 0; i < array.Length; i++)
        {
            array[i] = this.ReadLong();
        }
        return array;
    }
    public double[] ReadDoubleArray(int n)
    {
        var array = new double[n];
        for (int i = 0; i < array.Length; i++)
        {
            array[i] = this.ReadDouble();
        }
        return array;
    }
    public char[] ReadCharArray(int n)
    {
        var array = new char[n];
        for (int i = 0; i < array.Length; i++)
        {
            array[i] = this.ReadChar();
        }
        return array;
    }
    public string[] ReadStrArray(int n)
    {
        var array = new string[n];
        for (int i = 0; i < array.Length; i++)
        {
            array[i] = this.ReadStr();
        }
        return array;
    }
    public Tuple<long, long>[] ReadTupLongArray(int n, int add = 0)
    {
        var array = new Tuple<long, long>[n];
        for (int i = 0; i < n; i++)
        {
            array[i] = this.ReadTupLong(add);
        }
        return array;
    }
    public Tuple<int, int>[] ReadTupArray(int n, int add = 0)
    {
        var array = new Tuple<int, int>[n];
        for (int i = 0; i < n; i++)
        {
            array[i] = this.ReadTup(add);
        }
        return array;
    }
    public Tuple<int, int, int>[] ReadTup3Array(int n, int add = 0)
    {
        var array = new Tuple<int, int, int>[n];
        for (int i = 0; i < n; i++)
        {
            array[i] = this.ReadTup3(add);
        }
        return array;
    }
    public Tuple<int, int, int, int>[] ReadTup4Array(int n, int add = 0)
    {
        var array = new Tuple<int, int, int, int>[n];
        for (int i = 0; i < n; i++)
        {
            array[i] = this.ReadTup4(add);
        }
        return array;
    }
}
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