You are given a sequence of 16N positive integers a1, a2, ..., a16N - You may shuffle this sequence in any way you choose, i.e. change it to any one of its permutations. Then, let (a1 e a2) ® (az O a4) ®...® (asN-1 O a8N), y = (asN+1 O asN+2) ® (asN+3 O asN+4) 8... ® (A16N-1 O A16N), where O and e denote bitwise AND and XOR respectively. Find the maximum possible value of x – y.
You are given a sequence of 16N positive integers a1, a2, ..., a16N - You may shuffle this sequence in any way you choose, i.e. change it to any one of its permutations. Then, let (a1 e a2) ® (az O a4) ®...® (asN-1 O a8N), y = (asN+1 O asN+2) ® (asN+3 O asN+4) 8... ® (A16N-1 O A16N), where O and e denote bitwise AND and XOR respectively. Find the maximum possible value of x – y.
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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![You are given a sequence of 16N positive integers a1, a2, . .., a16N - You may
shuffle this sequence in any way you choose, i.e. change it to any one of its
permutations. Then, let
x = (a1 0 a2) (az a4) ® ... ® (a8N-1 O asN),
y = (a8N+1 O a8N+2) ® (a8N+3 O a8N+4)
® ...
O (a16N–1 O A16N),
where O and O denote bitwise AND and XOR respectively.
Find the maximum possible value of x - y.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F40de8173-e6a8-4bcf-a974-9761af095ade%2Fbfc08706-171e-4cc7-90a0-78d8461acd9d%2Fjckgt9k_processed.jpeg&w=3840&q=75)
Transcribed Image Text:You are given a sequence of 16N positive integers a1, a2, . .., a16N - You may
shuffle this sequence in any way you choose, i.e. change it to any one of its
permutations. Then, let
x = (a1 0 a2) (az a4) ® ... ® (a8N-1 O asN),
y = (a8N+1 O a8N+2) ® (a8N+3 O a8N+4)
® ...
O (a16N–1 O A16N),
where O and O denote bitwise AND and XOR respectively.
Find the maximum possible value of x - y.
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