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# Given an array nums of n integers where n > 1,  return an array output such that output[i] is equal to the product of all the elements of nums except nums[i].
#
# Example:
#
# Input:  [1,2,3,4]
# Output: [24,12,8,6]
# Note: Please solve it without division and in O(n).
#
# Follow up:
# Could you solve it with constant space complexity? (The output array does not count as extra space for the purpose of space complexity analysis.)
#

class Solution(object):
    def productExceptSelf(self, nums):
        """
        :type nums: List[int]
        :rtype: List[int]
        """
        res = [0 for _ in range(len(nums))]
        for i in range(1,len(nums)):
            res[i] = res[i-1] * nums[i-1]
        mul = 1
        for i in range(len(nums)-1,0,-1):
            res[i] *= mul
            mul *= nums[i]
        return res

# Given an array nums of n integers where n > 1,  return an array output such that output[i] is equal to the product of all the elements of nums except nums[i].
#
# Example:
#
# Input:  [1,2,3,4]
# Output: [24,12,8,6]
# Note: Please solve it without division and in O(n).
#
# Follow up:
# Could you solve it with constant space complexity? (The output array does not count as extra space for the purpose of space complexity analysis.)
#

class Solution(object):
    def productExceptSelf(self, nums):
        """
        :type nums: List[int]
        :rtype: List[int]
        """
        res = [0 for _ in range(len(nums))]
        for i in range(1,len(nums)):
            res[i] = res[i-1] * nums[i-1]
        mul = 1
        for i in range(len(nums)-1,0,-1):
            res[i] *= mul
            mul *= nums[i]
        return res
# Given an array nums of n integers where n > 1,  return an array output such that output[i] is equal to the product of all the elements of nums except nums[i]. # # Example: # # Input:  [1,2,3,4] # Output: [24,12,8,6] # Note: Please solve it without division and in O(n). # # Follow up: # Could you solve it with constant space complexity? (The output array does not count as extra space for the purpose of space complexity analysis.) # :type nums: List[int]         :rtype: List[int]