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:
[9, 4, 14, 2, 5, 13, 3, 11]

Ex Output:
[240240, 540540, 154440, 1081080, 432432, 166320, 720720, 196560]


Ex Input:
[7, 0, 6, 5, 8, 12, 13, 2]

Ex Output:
[0, 524160, 0, 0, 0, 0, 0, 0]


Ex Input:
[11, 3, 13, 1, 8, 10, 5, 6]

Ex Output:

[93600, 343200, 79200, 1029600, 128700, 102960, 205920, 171600]