F. Koxia and Sequence Codeforces Good Bye 2022: 2023 is NEAR Problem Solution                       

This post is all about the solution of the F. Koxia and Sequence Codeforces Good Bye 2022: 2023 is NEAR Problem Statement.

F. Koxia and Sequence Codeforces Good Bye 2022: 2023 is NEAR Problem Solution

Codeforces



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Problem Statement :

Koxia and Mahiru are playing a game with three arrays of length n, a, b, and c. Each a, b, and c element is an integer between 1 and n inclusive.

There are n rounds in the game. They make the following moves in the i-th round:

Let S represent the multiset ai,bi,ci.
Koxia chooses to remove one element from the multiset S.
Mahiru selects one of the two remaining integers in the multiset S.
Let di be the integer chosen by Mahiru in the i-th round. Koxia wins if d is a permutation. Otherwise, Mahiru is the victor.

At the moment, only the arrays a and b have been chosen. As a fervent Koxia supporter, you want to select an array c that will ensure Koxia's victory.


Format of Input :

Each test is made up of several test cases. The first line contains a single integer t (1t2104), which represents the number of test cases. The following is a description of the test cases.
Each test case begins with a single integer n (1n105) indicating the size of the arrays.
Evey test case's second line contains n integers a1,a2,...,an (1ain).
Evey test case's third line contains n integers b1,b2,...,bn (1bin).
The sum of n over all test cases is guaranteed not to exceed 105.

Format of the Output :

Provide a single integer — the number of c that causes Koxia to win, modulo 998244353.

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