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, 9, 3, 12, 0, 14, 6, 4]

Output: [0, 0, 0, 0, 1088640, 0, 0, 0]


Input: Consider Input: [5, 6, 9, 10, 2, 14, 3, 4]

Output: [181440, 151200, 100800, 90720, 453600, 64800, 302400, 226800]


Input: Consider Input: [9, 5, 1, 7, 13, 12, 2, 6]


Output: [65520, 117936, 589680, 84240, 45360, 49140, 294840, 98280]