Problem:
Score : 500 points

Problem Statement

We have a deck consisting of N cards. Each card has an integer written on it. The integer on the i-th card from the top is a_i.

Two people X and Y will play a game using this deck. Initially, X has a card with Z written on it in his hand, and Y has a card with W written on it in his hand. Then, starting from X, they will alternately perform the following action:

Draw some number of cards from the top of the deck. Then, discard the card in his hand and keep the last drawn card instead. Here, at least one card must be drawn.

The game ends when there is no more card in the deck. The score of the game is the absolute difference of the integers written on the cards in the two players' hand.

X will play the game so that the score will be maximized, and Y will play the game so that the score will be minimized. What will be the score of the game?

Constraints

All input values are integers.

1 \leq N \leq 2000

1 \leq Z, W, a_i \leq 10^9

Input

Input is given from Standard Input in the following format:

N Z W
a_1 a_2 ... a_N

Output

Print the score.

Sample Input 1

3 100 100
10 1000 100

Sample Output 1

900

If X draws two cards first, Y will draw the last card, and the score will be |1000 - 100| = 900.

Sample Input 2

3 100 1000
10 100 100

Sample Output 2

900

If X draws all the cards first, the score will be |1000 - 100| = 900.

Sample Input 3

5 1 1
1 1 1 1 1

Sample Output 3

0

Sample Input 4

1 1 1
1000000000

Sample Output 4

999999999

Solution in C# (Mono 4.6.2.0) (judge verdict: Runtime Error)

using System;
using System.IO;
using System.Linq;
using System.Collections.Generic;
using System.Text;

public class Program
{

    public void Proc()
    {

        long[] inpt = Reader.ReadLine().Split(' ').Select(a => long.Parse(a)).ToArray();
        this.CardCount = (int)inpt[0];
        long xScore = inpt[1];
        long yScore = inpt[2];

        this.Cards = Reader.ReadLine().Split(' ').Select(a => long.Parse(a)).ToArray();

        dic = new Nullable<long>[this.CardCount, this.CardCount + 1, this.CardCount + 1, 2];
        long ans = GetAns(0, xScore,0, yScore, 0,true);
        Console.WriteLine(ans);
    }

    private long[] Cards;
    private int CardCount;
    private Nullable<long>[,,,] dic;

    private long GetAns(int idx, long xScore, int xIdx, long yScore, int yIdx, bool isXtarn) {
        int lastKey = isXtarn ? 1 : 0;
        if(idx>=CardCount) {
            return Math.Abs(xScore - yScore);
        }

        if(dic[idx, xIdx,yIdx,lastKey]!=null) {
            return dic[idx, xIdx, yIdx, lastKey].Value;
        }


        long ans = 0;
        if(!isXtarn) {
            ans = long.MaxValue;
        }

        for (int i = idx; i < CardCount; i++) {
            if(isXtarn) {
                long tmp = GetAns(i + 1, Cards[i], i+1, yScore, yIdx, !isXtarn);
                ans = Math.Max(ans, tmp);
            } else {
                long tmp = GetAns(i + 1, xScore, xIdx, Cards[i], i+1, !isXtarn);
                ans = Math.Min(ans, tmp);
            }
        }
        dic[idx, xIdx, yIdx, lastKey] = ans;
        return ans;

    }




    public class Reader
    {
        private static StringReader sr;
        public static bool IsDebug = false;
        public static string ReadLine()
        {
            if (IsDebug)
            {
                if (sr == null)
                {
                    sr = new StringReader(InputText.Trim());
                }
                return sr.ReadLine();
            }
            else
            {
                return Console.ReadLine();
            }
        }
        private static string InputText = @"


1 1 1
1000000000

";
    }

    public static void Main(string[] args)
    {
#if DEBUG
        Reader.IsDebug = true;
#endif
        Program prg = new Program();
        prg.Proc();
    }
}