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:
[5, 11, 3, 10, 6, 9, 2, 12]

Ex Output:
[427680, 194400, 712800, 213840, 356400, 237600, 1069200, 178200]


Ex Input:
[12, 11, 4, 2, 9, 6, 14, 8]

Ex Output:
[532224, 580608, 1596672, 3193344, 709632, 1064448, 456192, 798336]


Ex Input:
[4, 9, 12, 14, 5, 6, 8, 2]

Ex Output:

[725760, 322560, 241920, 207360, 580608, 483840, 362880, 1451520]