(4) 2. Assume you have nine coins, one of which is counterfeit and weighs less than the other eight coins. Diagram the least number of weighings required to absolutely determine which of the nine coins is counterfeit as a tree. Indicate a scale as a line with numbers on the left and right indicating the number of the coin being weighed. Under the scale indicate the number of the counterfeit coin in position with a circle around it. For example, weighing coins numbered one and two on the left and eight and nine on the right is diagrammed as: 1,2 8,9

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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(4) 2. Assume you have nine coins, one of which is counterfeit and weighs less than the other eight coins. Diagram the least number of weighings required to absolutely determine which of the nine coins is counterfeit as a tree. Indicate a scale as a line with numbers on the left and right indicating the number of the coin being weighed. Under the scale, indicate the number of the counterfeit coin in position with a circle around it.

For example, weighing coins numbered one and two on the left and eight and nine on the right is diagrammed as:

```
 1,2 __________ 8,9
```

(Note: The line represents the balance scale, with the left side showing coins 1 and 2, and the right side showing coins 8 and 9.)
Transcribed Image Text:(4) 2. Assume you have nine coins, one of which is counterfeit and weighs less than the other eight coins. Diagram the least number of weighings required to absolutely determine which of the nine coins is counterfeit as a tree. Indicate a scale as a line with numbers on the left and right indicating the number of the coin being weighed. Under the scale, indicate the number of the counterfeit coin in position with a circle around it. For example, weighing coins numbered one and two on the left and eight and nine on the right is diagrammed as: ``` 1,2 __________ 8,9 ``` (Note: The line represents the balance scale, with the left side showing coins 1 and 2, and the right side showing coins 8 and 9.)
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