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Product Of Array Except Itself Without Using Division Operator

1. Given an integer array of size 'n'. 2. Return an array answer such that answer[i] is equal to the product of all the elements of arr except arr[i]. 3. The product of any prefix or suffix of nums is guaranteed to fit in a 32-bit integer.

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Product Of Array Except Itself Without Using Division Operator

easy

1. Given an integer array of size 'n'. 2. Return an array answer such that answer[i] is equal to the product of all the elements of arr except arr[i]. 3. The product of any prefix or suffix of nums is guaranteed to fit in a 32-bit integer.

Constraints

1. 2 <= arr.length <= 10^5 2. -30 <= arr[i] <= 30 3. The product of any prefix or suffix of nums is guaranteed to fit in a 32-bit integer.

Format

Input

N -> size of array. N distinct elements n0 n1, n2, . , . , . nN.

Output

print Final res

Example

Sample Input

4 1 2 3 4

Sample Output

24 12 8 6

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