Obviously, you are getting TLE, because the complexity of your code is n^2.
Try to think a bit more tactfully. Look at this case:
2 4
Ask this question to yourself, can you ever make a beautiful array here?
2*4, you need 8 -> 2 4 8
now you need 16 and 32 -> 2 4 8 16 32
and it will grow infinitely.
Try to build up from this case. Think more and if you still don’t get an idea, ask and i’ll help more.
You dont have to check product of every array number. O(N^2) solution is bound to get TLE. There is a simple and neat O(N) solution to it by observation.
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Hint 1: You only need to check what elements are contained in array and make cases.
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Hint 2: What if array has 2 or more elements with abs(arr[i])>1 ?? Will it be possible to have a beautiful array then?
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Hint 3: Explaining hint 2. Take array of {1,3,4}. ITs not beautiful since 3x4= 12 isnt here. Lets say we add 12. {1,2,3,4,12}. Still not beautiful because now 4x12=48 and 3x12=36 isnt present!! For any element you add, i can prove that maximum_arr[i] x any_arr[i]_such_that_abs(arr[i])_is_greater_than_1 is not present in array. Meaning, if there are atleast 2 elements with abs(Arr[i])>1, i can prove that array is not beautiful since it wont contain Maximum-element-in-array x Any-element-with-absolute-value-more-than-1 .
In other words, we can prove that any array with more than 2 elements with abs(arr[i])>1 is not beautiful.
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Hint 4: Take care of -1 !!!
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Hint 5, the elements to look out for are 1,0,-1
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Hint 6: An array of size=1 is beautiful by definition.