algorithm - Criteria for choosing mod value -

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i have array array = {}, size of array n

my constraints this:

n <= 100000 , arrayi <=100

i have find products of elements in array, given mod value have mod product. mod value changes time , mod value less or equal n.

my problem when chose, global mod value r = 1000000000 (which far bigger mod constraint) , whenever product exceeds value, mod result.

but dont know why result im obtaining zero.

my question how chose r in such situations?

i dont know code likey 0 correct result.

pick r large prime , make sure none of elements divisible number in order result different 0.


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