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, 11, 13, 8, 14, 12, 5, 7]

Ex Output:
[6726720, 5503680, 4656960, 7567560, 4324320, 5045040, 12108096, 8648640]


Ex Input:
[12, 1, 11, 2, 3, 7, 13, 6]

Ex Output:
[36036, 432432, 39312, 216216, 144144, 61776, 33264, 72072]


Ex Input:
[9, 12, 7, 3, 2, 10, 4, 14]

Ex Output:

[282240, 211680, 362880, 846720, 1270080, 254016, 635040, 181440]