Array of Array Products

Array of Array Products
Given an array of integers arr, you’re asked to calculate for each index i the product of all integers except the integer at that index (i.e. except arr[i]). Implement a function arrayOfArrayProducts that takes an array of integers and returns an array of the products.

Solve without using division and analyze your solution’s time and space complexities.

Examples:

input:  arr = [8, 10, 2]
output: [20, 16, 80] # by calculating: [10*2, 8*2, 8*10]

input:  arr = [2, 7, 3, 4]
output: [84, 24, 56, 42] # by calculating: [7*3*4, 2*3*4, 2*7*4, 2*7*3]
Constraints:

[time limit] 5000ms

[input] array.integer arr

0 ≤ arr.length ≤ 20
[output] array.integer