Given an array arr] of n integers, construct an output array prod[] such that prodfi] is equal to the product of all the elements of arrl except arr[floor(i/2)]. Note: floor() is the largest integer < n/2. You are to provide code that does not use the division operator and completes in O(n) time. Can you improve the space complexity to O(1)

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
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(NOTE: Please elaborate on the answer and explain. Please do not copy-paste the answer from the internet or from Chegg. For algorithms or code please do it in python only)

2. Optimize Merge
Given an array arr[] of n integers, construct an output array prod[] such that prod[i] is equal to the
product of all the elements of arr[] except arr[floor(i/2)]. Note: floor() is the largest integer < n/2.
You are to provide code that does not use the division operator and completes in O(n) time.
Can you improve the space complexity to O(1)
(NOTE: Please elaborate on the answer and explain in PYTHON only. Please do not copy-paste the
answer from the internet or from Chegg. For algorithms or code please do it in python only)
Transcribed Image Text:2. Optimize Merge Given an array arr[] of n integers, construct an output array prod[] such that prod[i] is equal to the product of all the elements of arr[] except arr[floor(i/2)]. Note: floor() is the largest integer < n/2. You are to provide code that does not use the division operator and completes in O(n) time. Can you improve the space complexity to O(1) (NOTE: Please elaborate on the answer and explain in PYTHON only. Please do not copy-paste the answer from the internet or from Chegg. For algorithms or code please do it in python only)
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