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Challenges Most isolated of 3 points

Given 3 points, output one that is separated from its nearest neighbour by the largest distance. Input 3 distinct points (that is, no 2 points are in the same position). Each point is a pair o...

0 answers  ·  posted 5mo ago by trichoplax‭  ·  edited 5mo ago by trichoplax‭

Question code-golf math number
#2: Post edited by user avatar trichoplax‭ · 2024-07-06T02:50:34Z (5 months ago)
Typo
  • Given 3 points, output one that is separated from its nearest neighbour by the largest distance.
  • ## Input
  • - 3 distinct points (that is, no 2 points are in the same position).
  • - Each point is a pair of positive integers.
  • ## Output
  • - A single point, as a pair of positive integers.
  • - The distance between this point and its nearest neighbour must be greater than or equal to the distance from either of the other points to their nearest neighbour.
  • - If all 3 of the input points have this property[^1], you may output any of them, but you must output only 1 of them.
  • ## Examples
  • ### Example with a single valid output
  • Input points and distance to nearest neighbour:
  • ```text
  • 1,3 : 1.4142135
  • 2,2 : 1.0000000
  • 3,2 : 1.0000000
  • ```
  • Output:
  • ```text
  • 1,3
  • ```
  • ### Example with three valid outputs
  • Input points and distance to nearest neighbour:
  • ```text
  • 6,5 : 3.6055512
  • 4,2 : 3.6055512
  • 9,3 : 3.6055512
  • ```
  • All the nearest neighbour distances are the same, so any 1 of the following is a valid output:
  • ```text
  • 6,5
  • 4,2
  • 9,3
  • ```
  • ## Test cases
  • Note that if there is more than 1 valid output, you must output only 1 of them.
  • - Test case are in the format `inputs : outputs`.
  • - Inputs are in the format `point1 ; point2 ; point3`.
  • - Outputs are in the format `point1 | point2 | point3`.
  • - Points are in the format `x,y`.
  • ```text
  • 3,3 ; 1,1 ; 3,1 : 3,3 | 1,1 | 3,1
  • 3,3 ; 1,1 ; 2,2 : 3,3 | 1,1 | 2,2
  • 3,1 ; 3,3 ; 2,2 : 3,1 | 3,3 | 2,2
  • 1,3 ; 2,2 ; 3,2 : 1,3
  • 3,2 ; 1,1 ; 3,1 : 1,1
  • 9,1 ; 8,5 ; 5,4 : 9,1
  • 3,2 ; 7,7 ; 3,1 : 7,7
  • 6,5 ; 4,2 ; 9,3 : 6,5 | 4,2 | 9,3
  • 1,9 ; 8,2 ; 6,9 : 8,2
  • 9,8 ; 6,7 ; 5,9 : 9,8
  • 2,4 ; 7,5 ; 1,7 : 7,5
  • 9,6 ; 5,7 ; 5,4 : 9,6
  • 9,6 ; 6,1 ; 9,4 : 6,1
  • 7,9 ; 2,5 ; 2,2 : 7,9
  • 6,8 ; 9,1 ; 9,3 : 6,8
  • 85,6 ; 64,3 ; 95,19 : 64,3
  • 5,24 ; 32,8 ; 74,46 : 74,46
  • 36,38 ; 3,25 ; 30,46 : 3,25
  • 60,34 ; 97,56 ; 59,86 : 59,86
  • 17,49 ; 34,42 ; 20,60 : 34,42
  • 14,10 ; 32,10 ; 78,26 : 78,26
  • 8,68 ; 26,50 ; 88,74 : 88,74
  • 29,82 ; 78,66 ; 1,83 : 78,66
  • 51,65 ; 90,54 ; 66,8 : 66,8
  • 80,28 ; 38,92 ; 73,85 : 80,28
  • 31,97 ; 11,20 ; 19,57 : 31,97
  • 83,45 ; 96,16 ; 16,97 : 16,97
  • 95,59 ; 32,87 ; 57,90 : 95,59
  • 17,33 ; 1,3 ; 45,20 : 1,3
  • 11,16 ; 79,22 ; 84,6 : 11,16
  • 36,9 ; 89,49 ; 45,78 : 36,9
  • 8,53 ; 42,51 ; 28,78 : 8,53
  • 77,21 ; 44,38 ; 84,20 : 44,38
  • 66,58 ; 76,13 ; 67,84 : 76,13
  • 76,45 ; 22,46 ; 33,74 : 76,45
  • ```
  • ## Scoring
  • This is a [code golf challenge]. Your score is the number of bytes in your code. Lowest score for each language wins.
  • > Explanations are optional, but I'm more likely to upvote answers that have one.
  • [^1]: It is not possible for exactly 2 of the input points to have this property. There will either be exactly 1 or exactly 3.
  • [code golf challenge]: https://codegolf.codidact.com/categories/49/tags/4274 "The code-golf tag"
  • Given 3 points, output one that is separated from its nearest neighbour by the largest distance.
  • ## Input
  • - 3 distinct points (that is, no 2 points are in the same position).
  • - Each point is a pair of positive integers.
  • ## Output
  • - A single point, as a pair of positive integers.
  • - The distance between this point and its nearest neighbour must be greater than or equal to the distance from either of the other points to their nearest neighbour.
  • - If all 3 of the input points have this property[^1], you may output any of them, but you must output only 1 of them.
  • ## Examples
  • ### Example with a single valid output
  • Input points and distance to nearest neighbour:
  • ```text
  • 1,3 : 1.4142135
  • 2,2 : 1.0000000
  • 3,2 : 1.0000000
  • ```
  • Output:
  • ```text
  • 1,3
  • ```
  • ### Example with three valid outputs
  • Input points and distance to nearest neighbour:
  • ```text
  • 6,5 : 3.6055512
  • 4,2 : 3.6055512
  • 9,3 : 3.6055512
  • ```
  • All the nearest neighbour distances are the same, so any 1 of the following is a valid output:
  • ```text
  • 6,5
  • 4,2
  • 9,3
  • ```
  • ## Test cases
  • Note that if there is more than 1 valid output, you must output only 1 of them.
  • - Test cases are in the format `inputs : outputs`.
  • - Inputs are in the format `point1 ; point2 ; point3`.
  • - Outputs are in the format `point1 | point2 | point3`.
  • - Points are in the format `x,y`.
  • ```text
  • 3,3 ; 1,1 ; 3,1 : 3,3 | 1,1 | 3,1
  • 3,3 ; 1,1 ; 2,2 : 3,3 | 1,1 | 2,2
  • 3,1 ; 3,3 ; 2,2 : 3,1 | 3,3 | 2,2
  • 1,3 ; 2,2 ; 3,2 : 1,3
  • 3,2 ; 1,1 ; 3,1 : 1,1
  • 9,1 ; 8,5 ; 5,4 : 9,1
  • 3,2 ; 7,7 ; 3,1 : 7,7
  • 6,5 ; 4,2 ; 9,3 : 6,5 | 4,2 | 9,3
  • 1,9 ; 8,2 ; 6,9 : 8,2
  • 9,8 ; 6,7 ; 5,9 : 9,8
  • 2,4 ; 7,5 ; 1,7 : 7,5
  • 9,6 ; 5,7 ; 5,4 : 9,6
  • 9,6 ; 6,1 ; 9,4 : 6,1
  • 7,9 ; 2,5 ; 2,2 : 7,9
  • 6,8 ; 9,1 ; 9,3 : 6,8
  • 85,6 ; 64,3 ; 95,19 : 64,3
  • 5,24 ; 32,8 ; 74,46 : 74,46
  • 36,38 ; 3,25 ; 30,46 : 3,25
  • 60,34 ; 97,56 ; 59,86 : 59,86
  • 17,49 ; 34,42 ; 20,60 : 34,42
  • 14,10 ; 32,10 ; 78,26 : 78,26
  • 8,68 ; 26,50 ; 88,74 : 88,74
  • 29,82 ; 78,66 ; 1,83 : 78,66
  • 51,65 ; 90,54 ; 66,8 : 66,8
  • 80,28 ; 38,92 ; 73,85 : 80,28
  • 31,97 ; 11,20 ; 19,57 : 31,97
  • 83,45 ; 96,16 ; 16,97 : 16,97
  • 95,59 ; 32,87 ; 57,90 : 95,59
  • 17,33 ; 1,3 ; 45,20 : 1,3
  • 11,16 ; 79,22 ; 84,6 : 11,16
  • 36,9 ; 89,49 ; 45,78 : 36,9
  • 8,53 ; 42,51 ; 28,78 : 8,53
  • 77,21 ; 44,38 ; 84,20 : 44,38
  • 66,58 ; 76,13 ; 67,84 : 76,13
  • 76,45 ; 22,46 ; 33,74 : 76,45
  • ```
  • ## Scoring
  • This is a [code golf challenge]. Your score is the number of bytes in your code. Lowest score for each language wins.
  • > Explanations are optional, but I'm more likely to upvote answers that have one.
  • [^1]: It is not possible for exactly 2 of the input points to have this property. There will either be exactly 1 or exactly 3.
  • [code golf challenge]: https://codegolf.codidact.com/categories/49/tags/4274 "The code-golf tag"
#1: Initial revision by user avatar trichoplax‭ · 2024-07-05T19:21:51Z (5 months ago)
Most isolated of 3 points
Given 3 points, output one that is separated from its nearest neighbour by the largest distance.

## Input
- 3 distinct points (that is, no 2 points are in the same position).
- Each point is a pair of positive integers.

## Output
- A single point, as a pair of positive integers.
- The distance between this point and its nearest neighbour must be greater than or equal to the distance from either of the other points to their nearest neighbour.
- If all 3 of the input points have this property[^1], you may output any of them, but you must output only 1 of them.

## Examples
### Example with a single valid output
Input points and distance to nearest neighbour:

```text
1,3 : 1.4142135
2,2 : 1.0000000
3,2 : 1.0000000
```

Output:

```text
1,3
```

### Example with three valid outputs
Input points and distance to nearest neighbour:

```text
6,5 : 3.6055512
4,2 : 3.6055512
9,3 : 3.6055512
```

All the nearest neighbour distances are the same, so any 1 of the following is a valid output:

```text
6,5
4,2
9,3
```

## Test cases
Note that if there is more than 1 valid output, you must output only 1 of them.
- Test case are in the format `inputs : outputs`.
- Inputs are in the format `point1 ; point2 ; point3`.
- Outputs are in the format `point1 | point2 | point3`.
- Points are in the format `x,y`.

```text
3,3 ; 1,1 ; 3,1 : 3,3 | 1,1 | 3,1
3,3 ; 1,1 ; 2,2 : 3,3 | 1,1 | 2,2
3,1 ; 3,3 ; 2,2 : 3,1 | 3,3 | 2,2
1,3 ; 2,2 ; 3,2 : 1,3
3,2 ; 1,1 ; 3,1 : 1,1
9,1 ; 8,5 ; 5,4 : 9,1
3,2 ; 7,7 ; 3,1 : 7,7
6,5 ; 4,2 ; 9,3 : 6,5 | 4,2 | 9,3
1,9 ; 8,2 ; 6,9 : 8,2
9,8 ; 6,7 ; 5,9 : 9,8
2,4 ; 7,5 ; 1,7 : 7,5
9,6 ; 5,7 ; 5,4 : 9,6
9,6 ; 6,1 ; 9,4 : 6,1
7,9 ; 2,5 ; 2,2 : 7,9
6,8 ; 9,1 ; 9,3 : 6,8
85,6 ; 64,3 ; 95,19 : 64,3
5,24 ; 32,8 ; 74,46 : 74,46
36,38 ; 3,25 ; 30,46 : 3,25
60,34 ; 97,56 ; 59,86 : 59,86
17,49 ; 34,42 ; 20,60 : 34,42
14,10 ; 32,10 ; 78,26 : 78,26
8,68 ; 26,50 ; 88,74 : 88,74
29,82 ; 78,66 ; 1,83 : 78,66
51,65 ; 90,54 ; 66,8 : 66,8
80,28 ; 38,92 ; 73,85 : 80,28
31,97 ; 11,20 ; 19,57 : 31,97
83,45 ; 96,16 ; 16,97 : 16,97
95,59 ; 32,87 ; 57,90 : 95,59
17,33 ; 1,3 ; 45,20 : 1,3
11,16 ; 79,22 ; 84,6 : 11,16
36,9 ; 89,49 ; 45,78 : 36,9
8,53 ; 42,51 ; 28,78 : 8,53
77,21 ; 44,38 ; 84,20 : 44,38
66,58 ; 76,13 ; 67,84 : 76,13
76,45 ; 22,46 ; 33,74 : 76,45
```


## Scoring
This is a [code golf challenge]. Your score is the number of bytes in your code. Lowest score for each language wins.

> Explanations are optional, but I'm more likely to upvote answers that have one.


[^1]: It is not possible for exactly 2 of the input points to have this property. There will either be exactly 1 or exactly 3.

[code golf challenge]: https://codegolf.codidact.com/categories/49/tags/4274 "The code-golf tag"