You are given a list of integers. A list is shown by comma-separated numbers between two brackets. For example, [7,3,6] is a list. The number in location one is 7, the number in location two is 3, and the number in location three is 6. You should answer with a list such that every element at each location is equal to the product of elements at every other location in the input array. For example, if a list has four numbers, the answer you give should be created like this: First element of your list = product of second, third, and fourth elements in the given list. Second element of your list = product of First, third and fourth elements in the given list, etc.

Ex Input:
[13, 12, 11, 2, 5, 8, 3, 9]

Ex Output:
[285120, 308880, 336960, 1853280, 741312, 463320, 1235520, 411840]


Ex Input:
[9, 8, 3, 12, 1, 4, 7, 0]

Ex Output:
[0, 0, 0, 0, 0, 0, 0, 72576]


Ex Input:
[12, 5, 13, 7, 6, 1, 4, 0]

Ex Output:

[0, 0, 0, 0, 0, 0, 0, 131040]