product-of-array-except-self.py

class Solution(object):
    # better way
    def productExceptSelf(self, nums):
        """
        :type nums: List[int]
        :rtype: List[int]
        """
        dp = [1] * len(nums)
        for i in xrange(1, len(nums)):
            dp[i] = dp[i - 1] * nums[i - 1]
        prod = 1
        for i in reversed(xrange(0, len(nums))):
            dp[i] = dp[i] * prod
            prod *= nums[i]
        return dp