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:
[7, 4, 12, 10, 11, 5, 0, 6]

Ex Output:
[0, 0, 0, 0, 0, 0, 1108800, 0]


Ex Input:
[6, 1, 7, 2, 10, 4, 9, 12]

Ex Output:
[60480, 362880, 51840, 181440, 36288, 90720, 40320, 30240]


Ex Input:
[11, 10, 8, 9, 4, 12, 14, 13]

Ex Output:

[6289920, 6918912, 8648640, 7687680, 17297280, 5765760, 4942080, 5322240]