結果
| 問題 |
No.332 数列をプレゼントに
|
| コンテスト | |
| ユーザー |
 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 | 103 ms / 2,000 ms |
| コード長 | 7,132 bytes |
| コンパイル時間 | 1,208 ms |
| コンパイル使用メモリ | 119,636 KB |
| 実行使用メモリ | 19,968 KB |
| 最終ジャッジ日時 | 2024-12-24 07:33:01 |
| 合計ジャッジ時間 | 5,216 ms |
|
ジャッジサーバーID （参考情報） |
judge3 / judge4 |
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| ファイルパターン | 結果 |
|---|---|
| sample | AC * 5 |
| other | AC * 42 |
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.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;
}
}