結果
| 問題 |
No.463 魔法使いのすごろく🎲
|
| コンテスト | |
| ユーザー |
 紙ぺーぱー
|
| 提出日時 | 2016-12-12 17:45:20 |
| 言語 | C#(csc) (csc 3.9.0) |
| 結果 |
AC
|
| 実行時間 | 107 ms / 2,000 ms |
| コード長 | 7,180 bytes |
| コンパイル時間 | 908 ms |
| コンパイル使用メモリ | 118,772 KB |
| 実行使用メモリ | 28,736 KB |
| 最終ジャッジ日時 | 2024-11-29 16:55:00 |
| 合計ジャッジ時間 | 3,300 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 |
|---|---|
| sample | AC * 3 |
| other | AC * 36 |
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.Collections.Generic;
using Debug = System.Diagnostics.Debug;
using StringBuilder = System.Text.StringBuilder;
using System.Numerics;
using Point = System.Numerics.Complex;
using Number = System.Int64;
using C = System.Int32;
namespace Program
{
public class Solver
{
public void Solve()
{
var s = Console.ReadLine().Split(' ').Select(int.Parse).ToArray();
s.Validate(x => x.Length == 2);
var n = s[0].Validate(x => 2 <= x && x <= 100);
var m = s[1].Validate(x => 1 <= x && x <= n);
var A = new int[n + 1];
if (n > 2)
{
s = Console.ReadLine().Split(new char[] { ' ' }, StringSplitOptions.RemoveEmptyEntries).Select(int.Parse).ToArray().ValidateArray(x => 0 <= x && x <= 1000000000);
s.Validate(x => x.Length == n - 2);
for (int i = 2; i < n; i++)
A[i] = s[i - 2];
}
Debug.WriteLine(A.AsJoinedString());
const int K=1000;
var dp = Enumerate(K, x => new double[n + 1]);
for (int k = 0; k < K; k++)
for (int i = 0; i < n; i++)
dp[k][i] = -1;
Func<int, int, double> dfs = null;
dfs = (k, i) =>
{
if (k < 0) return 0.0;
if (dp[k][i] > -0.5) return dp[k][i];
var ret = 0.0;
for (int j = 1; j <= m; j++)
{
var go = i + j;
if (go > n) go = n - (go - n);
ret += A[go];
ret += dfs(k - 1, go);
}
ret /= m;
return dp[k][i] = ret;
};
var DP = new double[n + 1];
for (int i = 0; i <= n; i++)
DP[i] = -1;
Func<int, double> efs = null;
efs = i =>
{
//Debug.WriteLine(i);
if (DP[i] > -0.5) return DP[i];
if (i + m >= n) return 0;
var ret = 0.0;
var min = double.MaxValue;
for (int j = 1; j <= m; j++)
{
var go = i + j;
if (go > n) go = n - (go - n);
ret += A[go];
ret += efs(go);
min = Math.Min(min, A[go] + dfs(K-1, go));
}
ret /= m;
ret = Math.Min(ret, min);
return DP[i] = ret;
};
IO.Printer.Out.WriteLine("{0:0.0000000000}", efs(1));
}
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(s, 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;
}
}