結果

問題 No.332 数列をプレゼントに
ユーザー 紙ぺーぱー紙ぺーぱー
提出日時 2015-12-25 20:27:08
言語 C#(csc)
(csc 3.9.0)
結果
AC  
実行時間 136 ms / 2,000 ms
コード長 7,132 bytes
コンパイル時間 2,567 ms
コンパイル使用メモリ 113,248 KB
実行使用メモリ 24,120 KB
最終ジャッジ日時 2023-08-25 21:17:03
合計ジャッジ時間 8,873 ms
ジャッジサーバーID
(参考情報)
judge11 / judge13
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 70 ms
22,020 KB
testcase_01 AC 68 ms
19,816 KB
testcase_02 AC 70 ms
19,892 KB
testcase_03 AC 69 ms
21,924 KB
testcase_04 AC 70 ms
21,888 KB
testcase_05 AC 71 ms
21,940 KB
testcase_06 AC 72 ms
22,020 KB
testcase_07 AC 102 ms
20,032 KB
testcase_08 AC 71 ms
21,968 KB
testcase_09 AC 72 ms
24,028 KB
testcase_10 AC 102 ms
21,960 KB
testcase_11 AC 71 ms
24,024 KB
testcase_12 AC 71 ms
21,980 KB
testcase_13 AC 71 ms
21,960 KB
testcase_14 AC 72 ms
19,848 KB
testcase_15 AC 73 ms
23,988 KB
testcase_16 AC 71 ms
21,908 KB
testcase_17 AC 70 ms
22,016 KB
testcase_18 AC 86 ms
21,852 KB
testcase_19 AC 71 ms
24,096 KB
testcase_20 AC 73 ms
21,964 KB
testcase_21 AC 71 ms
22,084 KB
testcase_22 AC 73 ms
21,884 KB
testcase_23 AC 74 ms
23,900 KB
testcase_24 AC 104 ms
23,892 KB
testcase_25 AC 102 ms
22,008 KB
testcase_26 AC 102 ms
21,896 KB
testcase_27 AC 69 ms
21,984 KB
testcase_28 AC 102 ms
21,876 KB
testcase_29 AC 101 ms
21,860 KB
testcase_30 AC 80 ms
23,916 KB
testcase_31 AC 102 ms
21,892 KB
testcase_32 AC 101 ms
21,892 KB
testcase_33 AC 99 ms
21,964 KB
testcase_34 AC 102 ms
23,924 KB
testcase_35 AC 136 ms
22,400 KB
testcase_36 AC 69 ms
21,984 KB
testcase_37 AC 104 ms
23,996 KB
testcase_38 AC 101 ms
21,904 KB
testcase_39 AC 85 ms
21,888 KB
testcase_40 AC 101 ms
21,836 KB
testcase_41 AC 101 ms
23,968 KB
testcase_42 AC 100 ms
19,896 KB
testcase_43 AC 101 ms
19,868 KB
testcase_44 AC 70 ms
24,120 KB
testcase_45 AC 113 ms
21,916 KB
testcase_46 AC 102 ms
21,972 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.Linq;
using System.Diagnostics;
using System.Collections.Generic;
using Debug = System.Diagnostics.Debug;
using StringBuilder = System.Text.StringBuilder;
using System.Numerics;

namespace Program
{

    public class Solver
    {
        //validatorつきの想定解
        public void Solve()
        {
            var s = Console.ReadLine().Split(' ');
            var n = int.Parse(s[0]).Validate(x => 1 <= x && x <= 100);
            var X = long.Parse(s[1]).Validate(x => 1 <= x && x <= 1000000000000);
            var a = Console.ReadLine().Split(' ').Validate(x => x.Length == n).Select(int.Parse).ToArray().ValidateArray(x => 1 <= x && x <= 1000000000);
            var dotsum = a.Aggregate(BigInteger.One, (x, y) => x * (BigInteger)y).Validate(x => x <= BigInteger.Pow(10, 100));

            var id = Enumerate(n, x => x);
            //降順ソート
            Array.Sort(id, (l, r) => a[r].CompareTo(a[l]));

            var ans = new char[n];
            for (int i = 0; i < n; i++)
                ans[i] = 'x';

            //大きい方からいくつかは全て試す
            var m = Math.Min(18, n);


            var sum = 0;
            //残りはDPで求める
            for (int i = m; i < n; i++)
                sum += a[id[i]];
            var dp = new bool[sum + 1];
            var prev = new int[sum + 1];
            for (int i = 0; i <= sum; i++)
                prev[i] = -1;
            dp[0] = true;
            for (int i = m, max = 0; i < n; i++)
            {
                var v = a[id[i]];
                for (int j = max; j >= 0; j--)
                {
                    if (!dp[j]) continue;
                    if (dp[j + v]) continue;
                    dp[j + v] = true;
                    prev[j + v] = id[i];
                }
                max += v;
            }


            for (int i = 0; i < 1 << m; i++)
            {
                long v = 0;
                for (int j = 0; j < m; j++)
                    if ((i >> j & 1) == 1) v += a[id[j]];
                var rem = X - v;
                if (rem < 0) continue;
                if (rem > sum) continue;
                if (dp[rem])
                {
                    while (rem > 0)
                    {
                        var p = prev[rem];
                        ans[p] = 'o';
                        rem -= a[p];
                    }
                    for (int j = 0; j < m; j++)
                        if ((i >> j & 1) == 1) ans[id[j]] = 'o';
                    IO.Printer.Out.WriteLine(ans.AsString());
                    return;
                }
            }
            IO.Printer.Out.WriteLine("No");
        }
        public IO.StreamScanner sc = new IO.StreamScanner(Console.OpenStandardInput());
        static T[] Enumerate<T>(int n, Func<int, T> f) { var a = new T[n]; for (int i = 0; i < n; ++i) a[i] = f(i); return a; }
        static public void Swap<T>(ref T a, ref T b) { var tmp = a; a = b; b = tmp; }
    }
}

#region main
static class Ex
{
    static public string AsString(this IEnumerable<char> ie) { return new string(System.Linq.Enumerable.ToArray(ie)); }
    static public string AsJoinedString<T>(this IEnumerable<T> ie, string st = " ") { return string.Join(st, ie); }
    static public void Main()
    {
        var solver = new Program.Solver();
        solver.Solve();
        Program.IO.Printer.Out.Flush();
    }
}
#endregion
#region Ex
namespace Program.IO
{
    using System.IO;
    using System.Text;
    using System.Globalization;
    public class Printer : StreamWriter
    {
        static Printer() { Out = new Printer(Console.OpenStandardOutput()) { AutoFlush = false }; }
        public static Printer Out { get; set; }
        public override IFormatProvider FormatProvider { get { return CultureInfo.InvariantCulture; } }
        public Printer(System.IO.Stream stream) : base(stream, new UTF8Encoding(false, true)) { }
        public Printer(System.IO.Stream stream, Encoding encoding) : base(stream, encoding) { }
        public void Write<T>(string format, T[] source) { base.Write(format, source.OfType<object>().ToArray()); }
        public void WriteLine<T>(string format, T[] source) { base.WriteLine(format, source.OfType<object>().ToArray()); }
    }
    public class StreamScanner
    {
        public StreamScanner(Stream stream) { str = stream; }
        public readonly Stream str;
        private readonly byte[] buf = new byte[1024];
        private int len, ptr;
        public bool isEof = false;
        public bool IsEndOfStream { get { return isEof; } }
        private byte read()
        {
            if (isEof) return 0;
            if (ptr >= len) { ptr = 0; if ((len = str.Read(buf, 0, 1024)) <= 0) { isEof = true; return 0; } }
            return buf[ptr++];
        }
        public char Char() { byte b = 0; do b = read(); while ((b < 33 || 126 < b) && !isEof); return (char)b; }

        public string Scan()
        {
            var sb = new StringBuilder();
            for (var b = Char(); b >= 33 && b <= 126; b = (char)read())
                sb.Append(b);
            return sb.ToString();
        }
        public string ScanLine()
        {
            var sb = new StringBuilder();
            for (var b = Char(); b != '\n'; b = (char)read())
                if (b == 0) break;
                else if (b != '\r') sb.Append(b);
            return sb.ToString();
        }
        public long Long()
        {
            if (isEof) return long.MinValue;
            long ret = 0; byte b = 0; var ng = false;
            do b = read();
            while (b != 0 && b != '-' && (b < '0' || '9' < b));
            if (b == 0) return long.MinValue;
            if (b == '-') { ng = true; b = read(); }
            for (; true; b = read())
            {
                if (b < '0' || '9' < b)
                    return ng ? -ret : ret;
                else ret = ret * 10 + b - '0';
            }
        }
        public int Integer() { return (isEof) ? int.MinValue : (int)Long(); }
        public double Double() { var s = Scan(); return s != "" ? double.Parse(Scan(), CultureInfo.InvariantCulture) : double.NaN; }
        private T[] enumerate<T>(int n, Func<T> f)
        {
            var a = new T[n];
            for (int i = 0; i < n; ++i) a[i] = f();
            return a;
        }

        public char[] Char(int n) { return enumerate(n, Char); }
        public string[] Scan(int n) { return enumerate(n, Scan); }
        public double[] Double(int n) { return enumerate(n, Double); }
        public int[] Integer(int n) { return enumerate(n, Integer); }
        public long[] Long(int n) { return enumerate(n, Long); }
    }
}
#endregion
static public class Validator
{
    static public T Validate<T>(this T input, Func<T, bool> f)
    {
        if (!f(input))
            throw new Exception("invalid input");
        return input;
    }
    static public T[] ValidateArray<T>(this T[] input, Func<T, bool> f)
    {
        foreach (var x in input)
            if (!f(x))
                throw new Exception("invalid input");
        return input;
    }
}
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