Given below are five data points having two attributes x and y:
| Observation | x | y |
|---|---|---|
| 1 | 3 | 2 |
| 2 | 3 | 5 |
| 3 | 5 | 3 |
| 4 | 6 | 4 |
| 5 | 6 | 7 |
The distance matrix of the points, indicating the Euclidean distance between points, is as follows:
| Label | 1 | 2 | 3 | 4 | 5 |
| 1 | 0.00 | 3.00 | 2.24 | 3.61 | 5.83 |
| 2 | 3.00 | 0.00 | 2.83 | 3.16 | 3.61 |
| 3 | 2.24 | 2.83 | 0.00 | 1.41 | 4.12 |
| 4 | 3.61 | 3.16 | 1.41 | 0.00 | 3.00 |
| 5 | 5.83 | 3.61 | 4.12 | 3.00 | 0.00 |
Take the distance between two clusters as the minimum distance between the points in the two clusters. Based on this information, answer the following questions.
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