D. Different Arrays Educational Codeforces Round 141 (Rated for Div. 2) Problem Solution

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Codeforces

Problem Statement :

You are given an array a that contains n integers.

You must perform the following n2 operations on this array:

You either add a2 to a1 and subtract a2 from a3, or you add a2 to a3 and subtract a2 from a1 during the first operation; during the second operation, you either add a3 to a2 and subtract a3 from a4, or you add a3 to a4 and subtract a3 from a2;

...

You can either add an1 to an2 and subtract an1 from an, or you can add an1 to a and subtract an1 from an2.

As a result, during the i-th operation, you add ai+1 to one of its neighbours and subtract it from the other.

Format of Input :

The first line contains a single integer t (1t2000) indicating the number of test cases.

Evey test case is made up of two lines. The first line has a single integer n (2n50). The second line has n integers a1,a2,...,an (1a12an100).

Format of the Output :

Print one integer indicating the number of accessible arrays. Because the answer could be quite large, print its remainder modulo 998244353.

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D. Different Arrays Educational Codeforces Round 141 (Rated for Div. 2) Problem Solution