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.

Input: Consider Input: [10, 2, 0, 14, 5, 12, 1, 8]

Output: [0, 0, 134400, 0, 0, 0, 0, 0]


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

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


Input: Consider Input: [3, 0, 1, 4, 5, 7, 13, 6]


Output: [0, 32760, 0, 0, 0, 0, 0, 0]