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 (GCC 5.4.1) (judge verdict: Accepted)

    /*
    exit
    */
    #include <stdio.h>
    #include <stdlib.h>
    #include <string.h>
    #include <stdbool.h>
    #include <math.h>
     
    #define BIG 2000000007
     
    #define MOD 1000000007
    typedef unsigned long long ull;
    typedef   signed long long sll;
     
    #define N_MAX 2000
    #define M_MAX 100000
     
    typedef struct {
    	int a;
    	int b;
    } hw;
     
    typedef struct {
    	sll a;
    	sll b;
    } hwll;
     
     
    const hw vector8[8] = {
    	{-1, -1},
    	{-1,  0},
    	{-1, +1},
    	{ 0, -1},
    	{ 0, +1},
    	{+1, -1},
    	{+1,  0},
    	{+1, +1}
    };
     
    ull n, m;
    ull h, w;
    ull k;
    sll va, vb, vc, vd, ve, vf;
    ull a[N_MAX];
    // sll a[N_MAX];
    // ull b[N_MAX];
    // sll b[M_MAX];
    // ull dp[N_MAX];
    ull dp[N_MAX + 1][N_MAX + 1];
    // ull dp[N_MAX][M_MAX + 1];
    // char s[N_MAX + 1];
    // char t[N_MAX + 1];
    // char s[N_MAX][M_MAX + 1];
    // hw arr[N_MAX];
    // hwll arr[N_MAX];
    // hw brr[M_MAX];
    // ull digitdp[102][   2][    2];
    //          pos  less  carry
     
    void swap_adj(ull *a, ull *b){
    	ull tmp = *b;
    	*b = *a;
    	*a = tmp;
    	return;
    }
     
    ull divide(ull a, ull b){
    	ull x = MOD - 2;
    	ull ans = 1;
    	while (x) {
    		if (x & 1) ans = (ans * b) % MOD;
    		b = (b * b) % MOD;
    		x /= 2;
    	}
    	return (a * ans) % MOD;
    }
     
    int digits(ull x){
    	int i = 1;
    	while (x >= 10) {
    		x /= 10;
    		i++;
    	}
    	return i;
    }
     
    ull min(ull x, ull y){
    	return (x < y) ? x : y;
    }
     
    ull gcd(ull x, ull y){
    	if (x < y) {
    		return gcd(y, x);
    	} else if (y == 0) {
    		return x;
    	} else {
    		return gcd(y, x % y);
    	}
    }
     
    ull bitpow(ull a, ull x){
    	ull result = 1;
    	while (x) {
    		if (x & 1) {
    			result *= a;
    			result %= MOD;
    		}
    		x /= 2;
    		a = (a * a) % MOD;
    	}
    	return result;
    }
     
    // int nextroute(int arr[]){
    // 	int i = n - 1;
    // 	int j, x;
    // 	while (arr[i - 1] > arr[i]) i--;
     
    // 	x = n;
    // 	for (j = i; j < n; j++) {
    // 		if (arr[j] < arr[i - 1]) continue;
    // 		if (x == n || arr[x] > arr[j]) x = j;
    // 	}
    // 	arr[i - 1] ^= arr[x];
    // 	arr[x] ^= arr[i - 1];
    // 	arr[i - 1] ^= arr[x];
     
    // 	qsort(&arr[i], n - i, sizeof(int), comp);
    // 	return 0;
    // }
     
    int nibutan_target(ull target){
    	ull maxdist = (target * (target + 1) / 2); // 時刻targetまでに到着できる距離は[-maxdist, maxdist]
    	return (n <= maxdist);
    }
     
    int targetdig(ull x, int index /* 1-indexed */){
    	// static...?
    	int posmax = digits(x);
    	if (posmax < index) return -1;
    	while (posmax > index) {
    		posmax--;
    		x /= 10;
    	}
    	return x % 10;
    }
     
    int intcomp(const void *left, const void *right){
    	if ((*(int*)left) < (*(int*)right)) {
    		return -1;
    	} else if ((*(int*)left) > (*(int*)right)) {
    		return +1;
    	} else {
    		return 0;
    	}
    }
     
    int ullcomp(const void *left, const void *right){
    	if ((*(ull*)left) < (*(ull*)right)) {
    		return -1;
    	} else if ((*(ull*)left) > (*(ull*)right)) {
    		return +1;
    	} else {
    		return 0;
    	}
    }
     
    int sllcomp(const void *left, const void *right){
    	if ((*(sll*)left) < (*(sll*)right)) {
    		return -1;
    	} else if ((*(sll*)left) > (*(sll*)right)) {
    		return +1;
    	} else {
    		return 0;
    	}
    }
     
    int hwAcomp(const void *left, const void *right){
    	return intcomp(&(((hw*)left)->a), &(((hw*)right)->a));
    }
     
    int hwBcomp(const void *left, const void *right){
    	return intcomp(&(((hw*)left)->b), &(((hw*)right)->b));
    }
     
    int hwABcomp(const void *left, const void *right){
    	int x = hwAcomp(left, right);
    	if (x) return x;
    	return hwBcomp(left, right);
    }
     
    int hwllAcomp(const void *left, const void *right){
    	return sllcomp(&(((hw*)left)->a), &(((hw*)right)->a));
    }
     
    int hwllBcomp(const void *left, const void *right){
    	return sllcomp(&(((hw*)left)->b), &(((hw*)right)->b));
    }
     
    int hwllABcomp(const void *left, const void *right){
    	int x = hwllAcomp(left, right);
    	if (x) return x;
    	return hwllBcomp(left, right);
    }
     
    int bitlet(char c){
    	return (1 << (c - 'a'));
    }
     
     
    ull seg[262144];
    ull baseIndex;
     
    int initSeg(ull a[], int num) {
    	int i;
     
    	baseIndex = 1;
    	while (baseIndex < num) baseIndex *= 2;
     
    	for (i = 0; i < baseIndex; i++) {
    		seg[baseIndex + i] = (i < num ? a[i] : 0);
    	}
    	for (i = baseIndex - 1; i >= 1; i--) {
    		seg[i] = seg[i * 2] + seg[i * 2 + 1];
    	}
     
    }
     
    ull plainAnswerSeg(int num) {
    	ull lookIndex = baseIndex;
    	ull result = 0;
     
    	while (num) {
    		if (num % 2 == 1) {
    			result += seg[lookIndex + num - 1];
    		}
     
    		lookIndex /= 2;
    		num /= 2;
    	}
     
    	return result;
    }
     
    ull gapAnswerSeg(int start, int end){
    	if (start > end) return gapAnswerSeg(end, start);
    	return plainAnswerSeg(end) - plainAnswerSeg(start - 1);
    }
     
    ull ulldiff(ull a, ull b){
    	if (a >= b) {
    		return a - b;
    	} else {
    		return b - a;
    	}
    }
     
    ull solve(){
    	int i, j, ki;
     
    	ull *a_1ind = a - 1;
     
    	for (i = 0; i < n; i++) {
    		ull cardNum;
     
    		if (i == 0) {
    			dp[n][i] = ulldiff(a[n - 1], vb);
    			dp[i][n] = ulldiff(va, a[n - 1]);
    		} else {
    			dp[n][i] = dp[i][n] = ulldiff(a[n - 1], a[i - 1]);
    		}
    	}
     
    	for (i = n - 1; i > 0; i--) {
    		ull samenum;
     
    		samenum = 0;
    		j = i;
    		while (++j <= n) {
    			if (dp[j][i] > samenum) samenum = dp[j][i];
    		}
    		for (j = 0; j < i; j++) {
    			dp[j][i] = samenum;
    		}
     
    		samenum = BIG;
    		j = i;
    		while (++j <= n) {
    			if (dp[i][j] < samenum) samenum = dp[i][j];
    		}
    		for (j = 0; j < i; j++) {
    			dp[i][j] = samenum;
    		}
    	}
     
    	// for (i = 0; i <= n; i++) {
    	// 	for (j = 0; j <= n; j++) {
    	// 		if (i == j) {
    	// 			printf("===");
    	// 		} else {
    	// 			printf("%03llu", dp[i][j]);
    	// 		}
    	// 		putchar(' ');
    	// 	}
    	// 	putchar('\n');
    	// }
     
    	ull result = 0;
    	i = 0;
    	while (++i <= n) {
    		if (dp[i][0] > result) result = dp[i][0];
    	}
     
    	printf("%llu\n", result);
    	return 0;
    }
     
    int main(void){
    	int i, j;
    	int x, y;
     
    	// scanf("%llu%llu", &h, &w);
    	scanf("%llu%llu%llu", &n, &va, &vb);
    	for (i = 0; i < n; i++) {
    		scanf("%llu", &a[i]);
    	}
     
    	solve();
     
    	return 0;
    }