The primary line contains a solitary integer n (1≤n≤150000).    The subsequent line contains 2n integers a1,a2,… ,a2n (1≤ai≤109) — components of exhibit a.    Output    Print one integer — the response to the issue, modulo 998244353.

Computer Networking: A Top-Down Approach (7th Edition)
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Author:James Kurose, Keith Ross
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Chapter1: Computer Networks And The Internet
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You are given a cluster an of length 2n. Consider a segment of exhibit an into two aftereffects p and q of length n each (every component of cluster an ought to be in precisely one aftereffect: either in p or in q). 

 

We should sort p in non-diminishing request, and q in non-expanding request, we can indicate the arranged adaptations by x and y, individually. Then, at that point, the expense of a segment is characterized as f(p,q)=∑ni=1|xi−yi|. 

 

Track down the amount of f(p,q) over all right parcels of cluster a. Since the appropriate response may be too huge, print its remaining portion modulo 998244353. 

 

Input 

 

The primary line contains a solitary integer n (1≤n≤150000). 

 

The subsequent line contains 2n integers a1,a2,… ,a2n (1≤ai≤109) — components of exhibit a. 

 

Output 

 

Print one integer — the response to the issue, modulo 998244353.

 

 

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