write a go solution for Description:
Consider a tournament with n participants. The rating of the i-th participant is a_i.

The tournament will be organized as follows. First of all, organizers will assign each participant an index from 1 to n. All indices will be unique. Let p_i be the participant who gets the index i.

Then, n-1 games will be held. In the first game, participants p_1 and p_2 will play. In the second game, the winner of the first game will play against p_3. In the third game, the winner of the second game will play against p_4, and so on — in the last game, the winner of the (n-2)-th game will play against p_n.

Monocarp wants to predict the results of all n-1 games (of course, he will do the prediction only after the indices of the participants are assigned). He knows for sure that, when two participants with ratings x and y play, and |x-y|>k, the participant with the higher rating wins. But if |x-y|<=k, any of the two participants may win.

Among all n! ways to assign the indices to participants, calculate the number of ways to do this so that Monocarp can predict the results of all n-1 games. Since the answer can be large, print it modulo 998244353.

Input Format:
The first line contains two integers n and k (2<=n<=10^6; 0<=k<=10^9).

The second line contains n integers a_1,a_2,...,a_n (0<=a_1<=a_2<=...<=a_n<=10^9).

Output Format:
Print one integer — the number of ways to assign the indices to the participants so that Monocarp can predict the results of all n-1 games.

Note:
In the first example, a match with any pair of players can be predicted by Monocarp, so all 24 ways to assign indices should be counted.

In the second example, suitable ways are [1,3,2], [2,3,1], [3,1,2] and [3,2,1].. Output only the code with no comments, explanation, or additional text.