Given a list of integers, return a list where each element at index i is the product of all elements in the input list except the element at index i. You must solve this without using division and in O(n) time complexity.

Examples:

Input: nums = [1, 2, 3, 4] Output: [24, 12, 8, 6] Explanation: For index 0: 2*3*4=24, index 1: 1*3*4=12, index 2: 1*2*4=8, index 3: 1*2*3=6 Input: nums = [2, 3] Output: [3, 2] Explanation: For index 0: 3, for index 1: 2 Input: nums = [-1, 1, 0, -3, 3] Output: [0, 0, 9, 0, 0] Explanation: Any product containing 0 results in 0 Input: nums = null Output: null Explanation: Null input returns null Input: nums = [] Output: [] Explanation: Empty list returns empty list
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