(20pts) Stainless steel balls manufactured by X industries need to be tested by their quality control...
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(20pts) Stainless steel balls manufactured by X industries need to be tested by their quality control department before shipment. In general, almost ALL balls can meet their standard. However, one ball with defect was produced by mistake and mixed with balls ready to ship. Your job is to find the ball quickly. What we know: 1. each ball has a unique number on it, for instance, 2. there are 1024 balls with numbers from 0 to 1023. 3. the ball with defect is heavier than other balls. 4. you are given only one balance (as shown below) to finish the job. Requirements: a. it is very low-efficient to compare every two balls at a time to find the defective one. This approach should be forbidden. b. you need to use divide-and-conquer technique to gradually make the problem "smaller" and to minimize the number of times you use the balance. c. please use layman's terms to describe your solution (no code needed). (20pts) Stainless steel balls manufactured by X industries need to be tested by their quality control department before shipment. In general, almost ALL balls can meet their standard. However, one ball with defect was produced by mistake and mixed with balls ready to ship. Your job is to find the ball quickly. What we know: 1. each ball has a unique number on it, for instance, 2. there are 1024 balls with numbers from 0 to 1023. 3. the ball with defect is heavier than other balls. 4. you are given only one balance (as shown below) to finish the job. Requirements: a. it is very low-efficient to compare every two balls at a time to find the defective one. This approach should be forbidden. b. you need to use divide-and-conquer technique to gradually make the problem "smaller" and to minimize the number of times you use the balance. c. please use layman's terms to describe your solution (no code needed).
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To efficiently find the defective ball we can use a divideandconquer strategy We can divide the ball... View the full answer
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