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There are n stacks of n identical-looking coins. All of the coins in one of these stacks are counterfeit, while all the coins in the other stacks are genuine. Every genuine coin weighs 10 grams; every fake weighs 11 grams. You have an analytical scale that can determine the exac weight of any number of coins. a. Devise a brute-force algorithm to identify the stack with the fake coins and determine its worst-case efficiency class.

There are n stacks of n identical-looking coins. All of the coins in one of these stacks are counterfeit, while all the coins in the other stacks are genuine. Every genuine coin weighs 10 grams; every fake weighs 11 grams. You have an analytical scale that can determine the exac weight of any number of coins. a. Devise a brute-force algorithm to identify the stack with the fake coins and determine its worst-case efficiency class.

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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**Problem Statement:** There are \( n \) stacks of \( n \) identical-looking coins. All of the coins in one of these stacks are counterfeit, while all the coins in the other stacks are genuine. Every genuine coin weighs 10 grams; every fake weighs 11 grams. You have an analytical scale that can determine the exact weight of any number of coins. **Tasks:** a. Devise a brute-force algorithm to identify the stack with the fake coins and determine its worst-case efficiency class. b. Find a constant time algorithm to identify the stack with the fake coins. Hint: It can be done in only one weighing.
Transcribed Image Text:**Problem Statement:** There are \( n \) stacks of \( n \) identical-looking coins. All of the coins in one of these stacks are counterfeit, while all the coins in the other stacks are genuine. Every genuine coin weighs 10 grams; every fake weighs 11 grams. You have an analytical scale that can determine the exact weight of any number of coins. **Tasks:** a. Devise a brute-force algorithm to identify the stack with the fake coins and determine its worst-case efficiency class. b. Find a constant time algorithm to identify the stack with the fake coins. Hint: It can be done in only one weighing.
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