Python : Product of Array Except Self

Video 128: In this tutorial, we explore different methods to solve the problem of finding the product of an array except for the current element. Given an array nums of n integers where n GT 1, we aim to generate an array output such that output[i] is equal to the product of all the elements of nums except nums[i]. Let's dive into the various approaches: Approach 0: (Incorrect Solution for Arrays with Zero Elements) This method calculates the product of all elements and then divides the product by the element at each position to obtain the final result. However, this approach fails when any element in the input array is zero, resulting in a product of zero. Therefore, it does not handle all edge cases. Approach 1: Split and Product Here, we split the input array into two arrays based on the element to be ignored. Then, we calculate the product of the elements in each sub-array and combine them to get the total product. However, this method has a time complexity of O(n^2), making it inefficient for large arrays. Approach 2: Linear Time Complexity Solution In this approach, we optimize the time complexity to O(n) by utilizing two auxiliary arrays: the Left array stores the product of elements to the left of each position, and the Right array stores the product of elements to the right. Finally, we compute the product of the corresponding elements from both arrays to obtain the desired output. Approach 3: Optimized Single-Array Solution Similar to the previous approach, we calculate the product of elements to the left of each position in one pass and store the results in an array. Then, using a single variable, we calculate the product of elements to the right and multiply it with the corresponding element from the left product array. For a comprehensive understanding and practical demonstration, be sure to watch the entire video. Happy coding! code: https://github.com/jeganpillai/python_reference/blob/main/p0055_product_of_array_except_self.py Follow me on, Website : https://growwithdata.co/ YouTube : https://www.youtube.com/@growwithdata TikTok : https://www.tiktok.com/@growwithdata LinkedIn : https://www.linkedin.com/company/growwithdata/ Facebook : https://www.facebook.com/growwithdata.co/ twitter : https://twitter.com/growwithdata_co WhatsApp : https://whatsapp.com/channel/0029VaF8pkb77qVNfbp5pA0S Instagram : https://www.instagram.com/growwithdata.co/ #recursive #countingalgorithm #list #looping #listmanipulation #uniquesubstring #longestsubstring #slicing #lineartimecomplexity #python #pythonquestions #pythontest #pythonprogramming #pythontutorial #python3 #pythonforbeginners #interviewquestions #interview #dataengineers #deinterview #pythoninterview #interviewquestions #leetcode #placementpreparation #meta #google #facebook #apple #netflix #amazon #google #faang #maanga #dataengineers #alphanumeric #nonalphanumeric #growwithdata #set #split #remove #pythonfunctions #tamil #tamilpython #tamilinterview #tamilinterviewlatest #tamilinterviewquestions #pythonintamil