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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 (a1 e a2) ® (az O a4) ® ... (asN–1 O asN), (a8N+1 O a8N+2) ® (a8N+3 Ð a8N+4) ® ... (a16N–1 O A16N), where O and O 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 asN), (a8N+1 O a8N+2) ® (a8N+3 Ð a8N+4) ® ... (a16N–1 O A16N), where O and O denote bitwise AND and XOR respectively. Find the maximum possible value of x – y.

Computer Networking: A Top-Down Approach (7th Edition)
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.
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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