Code Golf

#15: Post edited by

trichoplax‭ · 2022-10-28T14:23:32Z (over 1 year ago)
Mark as finalized

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~~Circle of text characters~~

Circle of text characters [FINALIZED]

Given a radius R, output a text representation of a circle.
## Input
- A positive integer R (strictly greater than zero)
- You do not need to handle values of R greater than 32
## Output
- A square grid of characters of side length 2R + 1
- You may choose any 2 distinct characters to represent the foreground (depicting the circle) and the background
- The centre of the circle is the centre of the square. That is, the location (R, R) if using zero indexed coordinates
- Each foreground character must have a distance from the centre that has either a floor or a ceiling of R. That is, R-1 < distance < R+1. Within a single output, some foreground characters may have a floor of R and some may have a ceiling of R - you do not need to choose one or other consistently
- The circle must not have gaps. Specifically, there must be no connected path of horizontally or vertically adjacent background characters joining the centre to any edge of the square. Equivalently, a flood fill from the centre will not reach any of the edges
## Examples
Here `.` represents the background and `#` represents the foreground.
Using these characters, the rules are equivalent to:
- Every `.` must be included in the background
- Any `#` may be included in the foreground, but not all of them need to be - some may be left as background provided there are no gaps between the foreground characters
This is intended to give the flexibility to allow various different circle drawing approaches to compete.
The potential character placements for radius 1 to 10:
```text
R = 1
###
#.#
###
R = 2
#####
##.##
#...#
##.##
#####
R = 3
.#####.
###.###
##...##
#.....#
##...##
###.###
.#####.
R = 4
..#####..
.###.###.
##.....##
##.....##
#.......#
##.....##
##.....##
.###.###.
..#####..
R = 5
..#######..
.####.####.
###.....###
##.......##
##.......##
#.........#
##.......##
##.......##
###.....###
.####.####.
..#######..
R = 6
...#######...
..####.####..
.##.......##.
##.........##
##.........##
##.........##
#...........#
##.........##
##.........##
##.........##
.##.......##.
..####.####..
...#######...
R = 7
....#######....
..#####.#####..
.###.......###.
.##.........##.
##...........##
##...........##
##...........##
#.............#
##...........##
##...........##
##...........##
.##.........##.
.###.......###.
..#####.#####..
....#######....
R = 8
....#########....
...#####.#####...
..###.......###..
.###.........###.
###...........###
##.............##
##.............##
##.............##
#...............#
##.............##
##.............##
##.............##
###...........###
.###.........###.
..###.......###..
...#####.#####...
....#########....
R = 9
.....#########.....
....#####.#####....
..####.......####..
..##...........##..
.##.............##.
###.............###
##...............##
##...............##
##...............##
#.................#
##...............##
##...............##
##...............##
###.............###
.##.............##.
..##...........##..
..####.......####..
....#####.#####....
.....#########.....
R = 10
......#########......
....######.######....
...###.........###...
..###...........###..
.###.............###.
.##...............##.
##.................##
##.................##
##.................##
##.................##
#...................#
##.................##
##.................##
##.................##
##.................##
.##...............##.
.###.............###.
..###...........###..
...###.........###...
....######.######....
......#########......
```
## Validator
You can validate specific outputs with this [text circle validator], which will give an explanation for any failed validations.
> Explanations are optional, but I'm more likely to upvote answers that have one.
[text circle validator]: https://trichoplax.github.io/text-circle-validator/ "Online validator for outputs from this challenge"

# Now posted: [Circle of text characters](https://codegolf.codidact.com/posts/287319)
---
Given a radius R, output a text representation of a circle.
## Input
- A positive integer R (strictly greater than zero)
- You do not need to handle values of R greater than 32
## Output
- A square grid of characters of side length 2R + 1
- You may choose any 2 distinct characters to represent the foreground (depicting the circle) and the background
- The centre of the circle is the centre of the square. That is, the location (R, R) if using zero indexed coordinates
- Each foreground character must have a distance from the centre that has either a floor or a ceiling of R. That is, R-1 < distance < R+1. Within a single output, some foreground characters may have a floor of R and some may have a ceiling of R - you do not need to choose one or other consistently
- The circle must not have gaps. Specifically, there must be no connected path of horizontally or vertically adjacent background characters joining the centre to any edge of the square. Equivalently, a flood fill from the centre will not reach any of the edges
## Examples
Here `.` represents the background and `#` represents the foreground.
Using these characters, the rules are equivalent to:
- Every `.` must be included in the background
- Any `#` may be included in the foreground, but not all of them need to be - some may be left as background provided there are no gaps between the foreground characters
This is intended to give the flexibility to allow various different circle drawing approaches to compete.
The potential character placements for radius 1 to 10:
```text
R = 1
###
#.#
###
R = 2
#####
##.##
#...#
##.##
#####
R = 3
.#####.
###.###
##...##
#.....#
##...##
###.###
.#####.
R = 4
..#####..
.###.###.
##.....##
##.....##
#.......#
##.....##
##.....##
.###.###.
..#####..
R = 5
..#######..
.####.####.
###.....###
##.......##
##.......##
#.........#
##.......##
##.......##
###.....###
.####.####.
..#######..
R = 6
...#######...
..####.####..
.##.......##.
##.........##
##.........##
##.........##
#...........#
##.........##
##.........##
##.........##
.##.......##.
..####.####..
...#######...
R = 7
....#######....
..#####.#####..
.###.......###.
.##.........##.
##...........##
##...........##
##...........##
#.............#
##...........##
##...........##
##...........##
.##.........##.
.###.......###.
..#####.#####..
....#######....
R = 8
....#########....
...#####.#####...
..###.......###..
.###.........###.
###...........###
##.............##
##.............##
##.............##
#...............#
##.............##
##.............##
##.............##
###...........###
.###.........###.
..###.......###..
...#####.#####...
....#########....
R = 9
.....#########.....
....#####.#####....
..####.......####..
..##...........##..
.##.............##.
###.............###
##...............##
##...............##
##...............##
#.................#
##...............##
##...............##
##...............##
###.............###
.##.............##.
..##...........##..
..####.......####..
....#####.#####....
.....#########.....
R = 10
......#########......
....######.######....
...###.........###...
..###...........###..
.###.............###.
.##...............##.
##.................##
##.................##
##.................##
##.................##
#...................#
##.................##
##.................##
##.................##
##.................##
.##...............##.
.###.............###.
..###...........###..
...###.........###...
....######.######....
......#########......
```
## Validator
You can validate specific outputs with this [text circle validator], which will give an explanation for any failed validations.
> Explanations are optional, but I'm more likely to upvote answers that have one.
[text circle validator]: https://trichoplax.github.io/text-circle-validator/ "Online validator for outputs from this challenge"

code-golf string

code-golf string finalized

#14: Post edited by

trichoplax‭ · 2022-10-28T14:20:06Z (over 1 year ago)
Add link to validator

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Markdown

Given a radius R, output a text representation of a circle.
## Input
- A positive integer R (strictly greater than zero)
- You do not need to handle values of R greater than 32
## Output
- A square grid of characters of side length 2R + 1
- You may choose any 2 distinct characters to represent the foreground (depicting the circle) and the background
- The centre of the circle is the centre of the square. That is, the location (R, R) if using zero indexed coordinates
- Each foreground character must have a distance from the centre that has either a floor or a ceiling of R. That is, R-1 < distance < R+1. Within a single output, some foreground characters may have a floor of R and some may have a ceiling of R - you do not need to choose one or other consistently
- The circle must not have gaps. Specifically, there must be no connected path of horizontally or vertically adjacent background characters joining the centre to any edge of the square. Equivalently, a flood fill from the centre will not reach any of the edges
## Examples
Here `.` represents the background and `#` represents the foreground.
Using these characters, the rules are equivalent to:
- Every `.` must be included in the background
- Any `#` may be included in the foreground, but not all of them need to be - some may be left as background provided there are no gaps between the foreground characters
This is intended to give the flexibility to allow various different circle drawing approaches to compete.
The potential character placements for radius 1 to 10:
```text
R = 1
###
#.#
###
R = 2
#####
##.##
#...#
##.##
#####
R = 3
.#####.
###.###
##...##
#.....#
##...##
###.###
.#####.
R = 4
..#####..
.###.###.
##.....##
##.....##
#.......#
##.....##
##.....##
.###.###.
..#####..
R = 5
..#######..
.####.####.
###.....###
##.......##
##.......##
#.........#
##.......##
##.......##
###.....###
.####.####.
..#######..
R = 6
...#######...
..####.####..
.##.......##.
##.........##
##.........##
##.........##
#...........#
##.........##
##.........##
##.........##
.##.......##.
..####.####..
...#######...
R = 7
....#######....
..#####.#####..
.###.......###.
.##.........##.
##...........##
##...........##
##...........##
#.............#
##...........##
##...........##
##...........##
.##.........##.
.###.......###.
..#####.#####..
....#######....
R = 8
....#########....
...#####.#####...
..###.......###..
.###.........###.
###...........###
##.............##
##.............##
##.............##
#...............#
##.............##
##.............##
##.............##
###...........###
.###.........###.
..###.......###..
...#####.#####...
....#########....
R = 9
.....#########.....
....#####.#####....
..####.......####..
..##...........##..
.##.............##.
###.............###
##...............##
##...............##
##...............##
#.................#
##...............##
##...............##
##...............##
###.............###
.##.............##.
..##...........##..
..####.......####..
....#####.#####....
.....#########.....
R = 10
......#########......
....######.######....
...###.........###...
..###...........###..
.###.............###.
.##...............##.
##.................##
##.................##
##.................##
##.................##
#...................#
##.................##
##.................##
##.................##
##.................##
.##...............##.
.###.............###.
..###...........###..
...###.........###...
....######.######....
......#########......
```
> Explanations are optional, but I'm more likely to upvote answers that have one.

Given a radius R, output a text representation of a circle.
## Input
- A positive integer R (strictly greater than zero)
- You do not need to handle values of R greater than 32
## Output
- A square grid of characters of side length 2R + 1
- You may choose any 2 distinct characters to represent the foreground (depicting the circle) and the background
- The centre of the circle is the centre of the square. That is, the location (R, R) if using zero indexed coordinates
- Each foreground character must have a distance from the centre that has either a floor or a ceiling of R. That is, R-1 < distance < R+1. Within a single output, some foreground characters may have a floor of R and some may have a ceiling of R - you do not need to choose one or other consistently
- The circle must not have gaps. Specifically, there must be no connected path of horizontally or vertically adjacent background characters joining the centre to any edge of the square. Equivalently, a flood fill from the centre will not reach any of the edges
## Examples
Here `.` represents the background and `#` represents the foreground.
Using these characters, the rules are equivalent to:
- Every `.` must be included in the background
- Any `#` may be included in the foreground, but not all of them need to be - some may be left as background provided there are no gaps between the foreground characters
This is intended to give the flexibility to allow various different circle drawing approaches to compete.
The potential character placements for radius 1 to 10:
```text
R = 1
###
#.#
###
R = 2
#####
##.##
#...#
##.##
#####
R = 3
.#####.
###.###
##...##
#.....#
##...##
###.###
.#####.
R = 4
..#####..
.###.###.
##.....##
##.....##
#.......#
##.....##
##.....##
.###.###.
..#####..
R = 5
..#######..
.####.####.
###.....###
##.......##
##.......##
#.........#
##.......##
##.......##
###.....###
.####.####.
..#######..
R = 6
...#######...
..####.####..
.##.......##.
##.........##
##.........##
##.........##
#...........#
##.........##
##.........##
##.........##
.##.......##.
..####.####..
...#######...
R = 7
....#######....
..#####.#####..
.###.......###.
.##.........##.
##...........##
##...........##
##...........##
#.............#
##...........##
##...........##
##...........##
.##.........##.
.###.......###.
..#####.#####..
....#######....
R = 8
....#########....
...#####.#####...
..###.......###..
.###.........###.
###...........###
##.............##
##.............##
##.............##
#...............#
##.............##
##.............##
##.............##
###...........###
.###.........###.
..###.......###..
...#####.#####...
....#########....
R = 9
.....#########.....
....#####.#####....
..####.......####..
..##...........##..
.##.............##.
###.............###
##...............##
##...............##
##...............##
#.................#
##...............##
##...............##
##...............##
###.............###
.##.............##.
..##...........##..
..####.......####..
....#####.#####....
.....#########.....
R = 10
......#########......
....######.######....
...###.........###...
..###...........###..
.###.............###.
.##...............##.
##.................##
##.................##
##.................##
##.................##
#...................#
##.................##
##.................##
##.................##
##.................##
.##...............##.
.###.............###.
..###...........###..
...###.........###...
....######.######....
......#########......
```
## Validator
You can validate specific outputs with this [text circle validator], which will give an explanation for any failed validations.
> Explanations are optional, but I'm more likely to upvote answers that have one.
[text circle validator]: https://trichoplax.github.io/text-circle-validator/ "Online validator for outputs from this challenge"

#13: Post edited by

trichoplax‭ · 2022-10-28T00:55:27Z (over 1 year ago)
Make clear input will never be zero

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Markdown

Given a radius R, output a text representation of a circle.
## Input
~~- A positive integer R~~
- You do not need to handle values of R greater than 32
## Output
- A square grid of characters of side length 2R + 1
- You may choose any 2 distinct characters to represent the foreground (depicting the circle) and the background
- The centre of the circle is the centre of the square. That is, the location (R, R) if using zero indexed coordinates
- Each foreground character must have a distance from the centre that has either a floor or a ceiling of R. That is, R-1 < distance < R+1. Within a single output, some foreground characters may have a floor of R and some may have a ceiling of R - you do not need to choose one or other consistently
- The circle must not have gaps. Specifically, there must be no connected path of horizontally or vertically adjacent background characters joining the centre to any edge of the square. Equivalently, a flood fill from the centre will not reach any of the edges
## Examples
Here `.` represents the background and `#` represents the foreground.
Using these characters, the rules are equivalent to:
- Every `.` must be included in the background
- Any `#` may be included in the foreground, but not all of them need to be - some may be left as background provided there are no gaps between the foreground characters
This is intended to give the flexibility to allow various different circle drawing approaches to compete.
The potential character placements for radius 1 to 10:
```text
R = 1
###
#.#
###
R = 2
#####
##.##
#...#
##.##
#####
R = 3
.#####.
###.###
##...##
#.....#
##...##
###.###
.#####.
R = 4
..#####..
.###.###.
##.....##
##.....##
#.......#
##.....##
##.....##
.###.###.
..#####..
R = 5
..#######..
.####.####.
###.....###
##.......##
##.......##
#.........#
##.......##
##.......##
###.....###
.####.####.
..#######..
R = 6
...#######...
..####.####..
.##.......##.
##.........##
##.........##
##.........##
#...........#
##.........##
##.........##
##.........##
.##.......##.
..####.####..
...#######...
R = 7
....#######....
..#####.#####..
.###.......###.
.##.........##.
##...........##
##...........##
##...........##
#.............#
##...........##
##...........##
##...........##
.##.........##.
.###.......###.
..#####.#####..
....#######....
R = 8
....#########....
...#####.#####...
..###.......###..
.###.........###.
###...........###
##.............##
##.............##
##.............##
#...............#
##.............##
##.............##
##.............##
###...........###
.###.........###.
..###.......###..
...#####.#####...
....#########....
R = 9
.....#########.....
....#####.#####....
..####.......####..
..##...........##..
.##.............##.
###.............###
##...............##
##...............##
##...............##
#.................#
##...............##
##...............##
##...............##
###.............###
.##.............##.
..##...........##..
..####.......####..
....#####.#####....
.....#########.....
R = 10
......#########......
....######.######....
...###.........###...
..###...........###..
.###.............###.
.##...............##.
##.................##
##.................##
##.................##
##.................##
#...................#
##.................##
##.................##
##.................##
##.................##
.##...............##.
.###.............###.
..###...........###..
...###.........###...
....######.######....
......#########......
```
> Explanations are optional, but I'm more likely to upvote answers that have one.

Given a radius R, output a text representation of a circle.
## Input
- A positive integer R (strictly greater than zero)
- You do not need to handle values of R greater than 32
## Output
- A square grid of characters of side length 2R + 1
- You may choose any 2 distinct characters to represent the foreground (depicting the circle) and the background
- The centre of the circle is the centre of the square. That is, the location (R, R) if using zero indexed coordinates
- Each foreground character must have a distance from the centre that has either a floor or a ceiling of R. That is, R-1 < distance < R+1. Within a single output, some foreground characters may have a floor of R and some may have a ceiling of R - you do not need to choose one or other consistently
- The circle must not have gaps. Specifically, there must be no connected path of horizontally or vertically adjacent background characters joining the centre to any edge of the square. Equivalently, a flood fill from the centre will not reach any of the edges
## Examples
Here `.` represents the background and `#` represents the foreground.
Using these characters, the rules are equivalent to:
- Every `.` must be included in the background
- Any `#` may be included in the foreground, but not all of them need to be - some may be left as background provided there are no gaps between the foreground characters
This is intended to give the flexibility to allow various different circle drawing approaches to compete.
The potential character placements for radius 1 to 10:
```text
R = 1
###
#.#
###
R = 2
#####
##.##
#...#
##.##
#####
R = 3
.#####.
###.###
##...##
#.....#
##...##
###.###
.#####.
R = 4
..#####..
.###.###.
##.....##
##.....##
#.......#
##.....##
##.....##
.###.###.
..#####..
R = 5
..#######..
.####.####.
###.....###
##.......##
##.......##
#.........#
##.......##
##.......##
###.....###
.####.####.
..#######..
R = 6
...#######...
..####.####..
.##.......##.
##.........##
##.........##
##.........##
#...........#
##.........##
##.........##
##.........##
.##.......##.
..####.####..
...#######...
R = 7
....#######....
..#####.#####..
.###.......###.
.##.........##.
##...........##
##...........##
##...........##
#.............#
##...........##
##...........##
##...........##
.##.........##.
.###.......###.
..#####.#####..
....#######....
R = 8
....#########....
...#####.#####...
..###.......###..
.###.........###.
###...........###
##.............##
##.............##
##.............##
#...............#
##.............##
##.............##
##.............##
###...........###
.###.........###.
..###.......###..
...#####.#####...
....#########....
R = 9
.....#########.....
....#####.#####....
..####.......####..
..##...........##..
.##.............##.
###.............###
##...............##
##...............##
##...............##
#.................#
##...............##
##...............##
##...............##
###.............###
.##.............##.
..##...........##..
..####.......####..
....#####.#####....
.....#########.....
R = 10
......#########......
....######.######....
...###.........###...
..###...........###..
.###.............###.
.##...............##.
##.................##
##.................##
##.................##
##.................##
#...................#
##.................##
##.................##
##.................##
##.................##
.##...............##.
.###.............###.
..###...........###..
...###.........###...
....######.######....
......#########......
```
> Explanations are optional, but I'm more likely to upvote answers that have one.

#12: Post edited by

trichoplax‭ · 2022-10-26T14:36:17Z (over 1 year ago)
Remove ambiguity from output section

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Markdown

Given a radius R, output a text representation of a circle.
## Input
- A positive integer R
- You do not need to handle values of R greater than 32
## Output
- A square grid of characters of side length 2R + 1
- You may choose any 2 distinct characters to represent the foreground (depicting the circle) and the background
- The centre of the circle is the centre of the square. That is, the location (R, R) if using zero indexed coordinates
- Each foreground character must have a distance from the centre that has either a floor or a ceiling of R. That is, R-1 < distance < R+1. Within a single output, some characters may have a floor of R and some may have a ceiling of R - you do not need to choose one or other consistently
- The circle must not have gaps. Specifically, there must be no connected path of horizontally or vertically adjacent background characters joining the centre to any edge of the square. Equivalently, a flood fill from the centre will not reach any of the edges
## Examples
Here `.` represents the background and `#` represents the foreground.
Using these characters, the rules are equivalent to:
- Every `.` must be included in the background
- Any `#` may be included in the foreground, but not all of them need to be - some may be left as background provided there are no gaps between the foreground characters
This is intended to give the flexibility to allow various different circle drawing approaches to compete.
The potential character placements for radius 1 to 10:
```text
R = 1
###
#.#
###
R = 2
#####
##.##
#...#
##.##
#####
R = 3
.#####.
###.###
##...##
#.....#
##...##
###.###
.#####.
R = 4
..#####..
.###.###.
##.....##
##.....##
#.......#
##.....##
##.....##
.###.###.
..#####..
R = 5
..#######..
.####.####.
###.....###
##.......##
##.......##
#.........#
##.......##
##.......##
###.....###
.####.####.
..#######..
R = 6
...#######...
..####.####..
.##.......##.
##.........##
##.........##
##.........##
#...........#
##.........##
##.........##
##.........##
.##.......##.
..####.####..
...#######...
R = 7
....#######....
..#####.#####..
.###.......###.
.##.........##.
##...........##
##...........##
##...........##
#.............#
##...........##
##...........##
##...........##
.##.........##.
.###.......###.
..#####.#####..
....#######....
R = 8
....#########....
...#####.#####...
..###.......###..
.###.........###.
###...........###
##.............##
##.............##
##.............##
#...............#
##.............##
##.............##
##.............##
###...........###
.###.........###.
..###.......###..
...#####.#####...
....#########....
R = 9
.....#########.....
....#####.#####....
..####.......####..
..##...........##..
.##.............##.
###.............###
##...............##
##...............##
##...............##
#.................#
##...............##
##...............##
##...............##
###.............###
.##.............##.
..##...........##..
..####.......####..
....#####.#####....
.....#########.....
R = 10
......#########......
....######.######....
...###.........###...
..###...........###..
.###.............###.
.##...............##.
##.................##
##.................##
##.................##
##.................##
#...................#
##.................##
##.................##
##.................##
##.................##
.##...............##.
.###.............###.
..###...........###..
...###.........###...
....######.######....
......#########......
```
> Explanations are optional, but I'm more likely to upvote answers that have one.

Given a radius R, output a text representation of a circle.
## Input
- A positive integer R
- You do not need to handle values of R greater than 32
## Output
- A square grid of characters of side length 2R + 1
- You may choose any 2 distinct characters to represent the foreground (depicting the circle) and the background
- The centre of the circle is the centre of the square. That is, the location (R, R) if using zero indexed coordinates
- Each foreground character must have a distance from the centre that has either a floor or a ceiling of R. That is, R-1 < distance < R+1. Within a single output, some foreground characters may have a floor of R and some may have a ceiling of R - you do not need to choose one or other consistently
- The circle must not have gaps. Specifically, there must be no connected path of horizontally or vertically adjacent background characters joining the centre to any edge of the square. Equivalently, a flood fill from the centre will not reach any of the edges
## Examples
Here `.` represents the background and `#` represents the foreground.
Using these characters, the rules are equivalent to:
- Every `.` must be included in the background
- Any `#` may be included in the foreground, but not all of them need to be - some may be left as background provided there are no gaps between the foreground characters
This is intended to give the flexibility to allow various different circle drawing approaches to compete.
The potential character placements for radius 1 to 10:
```text
R = 1
###
#.#
###
R = 2
#####
##.##
#...#
##.##
#####
R = 3
.#####.
###.###
##...##
#.....#
##...##
###.###
.#####.
R = 4
..#####..
.###.###.
##.....##
##.....##
#.......#
##.....##
##.....##
.###.###.
..#####..
R = 5
..#######..
.####.####.
###.....###
##.......##
##.......##
#.........#
##.......##
##.......##
###.....###
.####.####.
..#######..
R = 6
...#######...
..####.####..
.##.......##.
##.........##
##.........##
##.........##
#...........#
##.........##
##.........##
##.........##
.##.......##.
..####.####..
...#######...
R = 7
....#######....
..#####.#####..
.###.......###.
.##.........##.
##...........##
##...........##
##...........##
#.............#
##...........##
##...........##
##...........##
.##.........##.
.###.......###.
..#####.#####..
....#######....
R = 8
....#########....
...#####.#####...
..###.......###..
.###.........###.
###...........###
##.............##
##.............##
##.............##
#...............#
##.............##
##.............##
##.............##
###...........###
.###.........###.
..###.......###..
...#####.#####...
....#########....
R = 9
.....#########.....
....#####.#####....
..####.......####..
..##...........##..
.##.............##.
###.............###
##...............##
##...............##
##...............##
#.................#
##...............##
##...............##
##...............##
###.............###
.##.............##.
..##...........##..
..####.......####..
....#####.#####....
.....#########.....
R = 10
......#########......
....######.######....
...###.........###...
..###...........###..
.###.............###.
.##...............##.
##.................##
##.................##
##.................##
##.................##
#...................#
##.................##
##.................##
##.................##
##.................##
.##...............##.
.###.............###.
..###...........###..
...###.........###...
....######.######....
......#########......
```
> Explanations are optional, but I'm more likely to upvote answers that have one.

#11: Post edited by

trichoplax‭ · 2022-10-25T13:06:34Z (over 1 year ago)
Simplify example format

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Given a radius R, output a text representation of a circle.
## Input
- A positive integer R
- You do not need to handle values of R greater than 32
## Output
~~- A square of characters of side length 2R + 1~~
- You may choose any 2 distinct characters to represent the foreground (depicting the circle) and the background
- The centre of the circle is the centre of the square. That is, the location (R, R) if using zero indexed coordinates
- Each foreground character must have a distance from the centre that has either a floor or a ceiling of R. That is, R-1 < distance < R+1. Within a single output, some characters may have a floor of R and some may have a ceiling of R - you do not need to choose one or other consistently
- The circle must not have gaps. Specifically, there must be no connected path of horizontally or vertically adjacent background characters joining the centre to any edge of the square. Equivalently, a flood fill from the centre will not reach any of the edges
## Examples
~~These examples use the following characters to indicate the distance from the centre:~~
~~- `#` means the character is a distance of exactly R from the centre~~
~~- `.` means the distance is less than or equal to R-1 or greater than or equal to R+1~~
~~- `f` or `F` means the floor of the distance is R~~
~~- `c` or `C` means the ceiling of the distance is R~~
- upper case (`F` or `C`) means the distance rounded to the nearest integer is R
Using these characters, the rules are equivalent to:
~~- Every `#` must be included in the foreground~~
- Every `.` must be included in the background
~~- All other characters can be either foreground or background, provided there are no gaps between the foreground characters~~
This is intended to give the flexibility to allow various different circle drawing approaches to compete.
~~Examples of valid circles include:~~
~~- Every `#`, `f`, and `F` is foreground (every character with a floor of R is foreground)~~
~~- Every `#`, `c`, and `C` is foreground (every character with a ceiling of R is foreground)~~
~~- Every `#`, `F`, and `C` is foreground (every character that rounds to R is foreground)~~
~~- Every `#`, `f`, `F`, `c`, and `C` is foreground (every character with a floor or ceiling of R is foreground)~~
The potential character placements for radius 1 to 10:
```text
~~R=1:~~
~~F#F~~
#.#
~~F#F~~
~~R=2:~~
~~fF#Ff~~
~~Fc.cF~~
#...#
~~Fc.cF~~
~~fF#Ff~~
~~R=3:~~
~~.fF#Ff.~~
~~fCc.cCf~~
~~Fc...cF~~
#.....#
~~Fc...cF~~
~~fCc.cCf~~
~~.fF#Ff.~~
~~R=4:~~
~~..FF#FF..~~
~~.FCc.cCF.~~
~~FC.....CF~~
~~Fc.....cF~~
#.......#
~~Fc.....cF~~
~~FC.....CF~~
~~.FCc.cCF.~~
~~..FF#FF..~~
~~R=5:~~
~~..fFF#FFf..~~
~~.f#cc.cc#f.~~
f#c.....c#f
~~Fc.......cF~~
~~Fc.......cF~~
#.........#
~~Fc.......cF~~
~~Fc.......cF~~
f#c.....c#f
~~.f#cc.cc#f.~~
~~..fFF#FFf..~~
~~R=6:~~
~~...fFF#FFf...~~
~~..FCcc.ccCF..~~
~~.FC.......CF.~~
~~fC.........Cf~~
~~Fc.........cF~~
~~Fc.........cF~~
#...........#
~~Fc.........cF~~
~~Fc.........cF~~
~~fC.........Cf~~
~~.FC.......CF.~~
~~..FCcc.ccCF..~~
~~...fFF#FFf...~~
~~R=7:~~
~~....fFF#FFf....~~
~~..fFCcc.ccCFf..~~
~~.fFc.......cFf.~~
~~.Fc.........cF.~~
~~fC...........Cf~~
~~Fc...........cF~~
~~Fc...........cF~~
#.............#
~~Fc...........cF~~
~~Fc...........cF~~
~~fC...........Cf~~
~~.Fc.........cF.~~
~~.fFc.......cFf.~~
~~..fFCcc.ccCFf..~~
~~....fFF#FFf....~~
~~R=8:~~
~~....ffFF#FFff....~~
~~...fFCcc.ccCFf...~~
~~..FCc.......cCF..~~
~~.fCc.........cCf.~~
fFc...........cFf
~~fC.............Cf~~
~~Fc.............cF~~
~~Fc.............cF~~
#...............#
~~Fc.............cF~~
~~Fc.............cF~~
~~fC.............Cf~~
fFc...........cFf
~~.fCc.........cCf.~~
~~..FCc.......cCF..~~
~~...fFCcc.ccCFf...~~
~~....ffFF#FFff....~~
~~R=9:~~
~~.....fFFF#FFFf.....~~
~~....FCCcc.ccCCF....~~
~~..fFCc.......cCFf..~~
~~..Fc...........cF..~~
~~.FC.............CF.~~
fCc.............cCf
~~FC...............CF~~
~~Fc...............cF~~
~~Fc...............cF~~
#.................#
~~Fc...............cF~~
~~Fc...............cF~~
~~FC...............CF~~
fCc.............cCf
~~.FC.............CF.~~
~~..Fc...........cF..~~
~~..fFCc.......cCFf..~~
~~....FCCcc.ccCCF....~~
~~.....fFFF#FFFf.....~~
~~R=10:~~
~~......fFFF#FFFf......~~
~~....fFCccc.cccCFf....~~
~~...f#c.........c#f...~~
~~..fCc...........cCf..~~
~~.f#c.............c#f.~~
~~.Fc...............cF.~~
~~fC.................Cf~~
~~Fc.................cF~~
~~Fc.................cF~~
~~Fc.................cF~~
#...................#
~~Fc.................cF~~
~~Fc.................cF~~
~~Fc.................cF~~
~~fC.................Cf~~
~~.Fc...............cF.~~
~~.f#c.............c#f.~~
~~..fCc...........cCf..~~
~~...f#c.........c#f...~~
~~....fFCccc.cccCFf....~~
~~......fFFF#FFFf......~~
```
> Explanations are optional, but I'm more likely to upvote answers that have one.

Given a radius R, output a text representation of a circle.
## Input
- A positive integer R
- You do not need to handle values of R greater than 32
## Output
- A square grid of characters of side length 2R + 1
- You may choose any 2 distinct characters to represent the foreground (depicting the circle) and the background
- The centre of the circle is the centre of the square. That is, the location (R, R) if using zero indexed coordinates
- Each foreground character must have a distance from the centre that has either a floor or a ceiling of R. That is, R-1 < distance < R+1. Within a single output, some characters may have a floor of R and some may have a ceiling of R - you do not need to choose one or other consistently
- The circle must not have gaps. Specifically, there must be no connected path of horizontally or vertically adjacent background characters joining the centre to any edge of the square. Equivalently, a flood fill from the centre will not reach any of the edges
## Examples
Here `.` represents the background and `#` represents the foreground.
Using these characters, the rules are equivalent to:
- Every `.` must be included in the background
- Any `#` may be included in the foreground, but not all of them need to be - some may be left as background provided there are no gaps between the foreground characters
This is intended to give the flexibility to allow various different circle drawing approaches to compete.
The potential character placements for radius 1 to 10:
```text
R = 1
###
#.#
###
R = 2
#####
##.##
#...#
##.##
#####
R = 3
.#####.
###.###
##...##
#.....#
##...##
###.###
.#####.
R = 4
..#####..
.###.###.
##.....##
##.....##
#.......#
##.....##
##.....##
.###.###.
..#####..
R = 5
..#######..
.####.####.
###.....###
##.......##
##.......##
#.........#
##.......##
##.......##
###.....###
.####.####.
..#######..
R = 6
...#######...
..####.####..
.##.......##.
##.........##
##.........##
##.........##
#...........#
##.........##
##.........##
##.........##
.##.......##.
..####.####..
...#######...
R = 7
....#######....
..#####.#####..
.###.......###.
.##.........##.
##...........##
##...........##
##...........##
#.............#
##...........##
##...........##
##...........##
.##.........##.
.###.......###.
..#####.#####..
....#######....
R = 8
....#########....
...#####.#####...
..###.......###..
.###.........###.
###...........###
##.............##
##.............##
##.............##
#...............#
##.............##
##.............##
##.............##
###...........###
.###.........###.
..###.......###..
...#####.#####...
....#########....
R = 9
.....#########.....
....#####.#####....
..####.......####..
..##...........##..
.##.............##.
###.............###
##...............##
##...............##
##...............##
#.................#
##...............##
##...............##
##...............##
###.............###
.##.............##.
..##...........##..
..####.......####..
....#####.#####....
.....#########.....
R = 10
......#########......
....######.######....
...###.........###...
..###...........###..
.###.............###.
.##...............##.
##.................##
##.................##
##.................##
##.................##
#...................#
##.................##
##.................##
##.................##
##.................##
.##...............##.
.###.............###.
..###...........###..
...###.........###...
....######.######....
......#########......
```
> Explanations are optional, but I'm more likely to upvote answers that have one.

#10: Post edited by

trichoplax‭ · 2022-10-25T10:55:04Z (over 1 year ago)
Improve output section

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Raw

Markdown

Given a radius R, output a text representation of a circle.
## Input
- A positive integer R
- You do not need to handle values of R greater than 32
## Output
- A square of characters of side length 2R + 1
- You may choose any 2 distinct characters to represent the foreground (depicting the circle) and the background
- The centre of the circle is the centre of the square. That is, the location (R, R) if using zero indexed coordinates
- Each foreground character must have a distance from the centre that has either a floor or a ceiling of R. That is, R-1 < distance < R+1. You may use some of each
- The circle must not have gaps. Specifically, there must be no connected path of horizontally or vertically adjacent background characters joining the centre to any edge of the square. Equivalently, a flood fill from the centre will not reach any of the corners
## Examples
These examples use the following characters to indicate the distance from the centre:
- `#` means the character is a distance of exactly R from the centre
- `.` means the distance is less than or equal to R-1 or greater than or equal to R+1
- `f` or `F` means the floor of the distance is R
- `c` or `C` means the ceiling of the distance is R
- upper case (`F` or `C`) means the distance rounded to the nearest integer is R
Using these characters, the rules are equivalent to:
- Every `#` must be included in the foreground
- Every `.` must be included in the background
- All other characters can be either foreground or background, provided there are no gaps between the foreground characters
This is intended to give the flexibility to allow various different circle drawing approaches to compete.
Examples of valid circles include:
- Every `#`, `f`, and `F` is foreground (every character with a floor of R is foreground)
- Every `#`, `c`, and `C` is foreground (every character with a ceiling of R is foreground)
- Every `#`, `F`, and `C` is foreground (every character that rounds to R is foreground)
- Every `#`, `f`, `F`, `c`, and `C` is foreground (every character with a floor or ceiling of R is foreground)
The potential character placements for radius 1 to 10:
```text
R=1:
F#F
#.#
F#F
R=2:
fF#Ff
Fc.cF
#...#
Fc.cF
fF#Ff
R=3:
.fF#Ff.
fCc.cCf
Fc...cF
#.....#
Fc...cF
fCc.cCf
.fF#Ff.
R=4:
..FF#FF..
.FCc.cCF.
FC.....CF
Fc.....cF
#.......#
Fc.....cF
FC.....CF
.FCc.cCF.
..FF#FF..
R=5:
..fFF#FFf..
.f#cc.cc#f.
f#c.....c#f
Fc.......cF
Fc.......cF
#.........#
Fc.......cF
Fc.......cF
f#c.....c#f
.f#cc.cc#f.
..fFF#FFf..
R=6:
...fFF#FFf...
..FCcc.ccCF..
.FC.......CF.
fC.........Cf
Fc.........cF
Fc.........cF
#...........#
Fc.........cF
Fc.........cF
fC.........Cf
.FC.......CF.
..FCcc.ccCF..
...fFF#FFf...
R=7:
....fFF#FFf....
..fFCcc.ccCFf..
.fFc.......cFf.
.Fc.........cF.
fC...........Cf
Fc...........cF
Fc...........cF
#.............#
Fc...........cF
Fc...........cF
fC...........Cf
.Fc.........cF.
.fFc.......cFf.
..fFCcc.ccCFf..
....fFF#FFf....
R=8:
....ffFF#FFff....
...fFCcc.ccCFf...
..FCc.......cCF..
.fCc.........cCf.
fFc...........cFf
fC.............Cf
Fc.............cF
Fc.............cF
#...............#
Fc.............cF
Fc.............cF
fC.............Cf
fFc...........cFf
.fCc.........cCf.
..FCc.......cCF..
...fFCcc.ccCFf...
....ffFF#FFff....
R=9:
.....fFFF#FFFf.....
....FCCcc.ccCCF....
..fFCc.......cCFf..
..Fc...........cF..
.FC.............CF.
fCc.............cCf
FC...............CF
Fc...............cF
Fc...............cF
#.................#
Fc...............cF
Fc...............cF
FC...............CF
fCc.............cCf
.FC.............CF.
..Fc...........cF..
..fFCc.......cCFf..
....FCCcc.ccCCF....
.....fFFF#FFFf.....
R=10:
......fFFF#FFFf......
....fFCccc.cccCFf....
...f#c.........c#f...
..fCc...........cCf..
.f#c.............c#f.
.Fc...............cF.
fC.................Cf
Fc.................cF
Fc.................cF
Fc.................cF
#...................#
Fc.................cF
Fc.................cF
Fc.................cF
fC.................Cf
.Fc...............cF.
.f#c.............c#f.
..fCc...........cCf..
...f#c.........c#f...
....fFCccc.cccCFf....
......fFFF#FFFf......
```
> Explanations are optional, but I'm more likely to upvote answers that have one.

Given a radius R, output a text representation of a circle.
## Input
- A positive integer R
- You do not need to handle values of R greater than 32
## Output
- A square of characters of side length 2R + 1
- You may choose any 2 distinct characters to represent the foreground (depicting the circle) and the background
- The centre of the circle is the centre of the square. That is, the location (R, R) if using zero indexed coordinates
- Each foreground character must have a distance from the centre that has either a floor or a ceiling of R. That is, R-1 < distance < R+1. Within a single output, some characters may have a floor of R and some may have a ceiling of R - you do not need to choose one or other consistently
- The circle must not have gaps. Specifically, there must be no connected path of horizontally or vertically adjacent background characters joining the centre to any edge of the square. Equivalently, a flood fill from the centre will not reach any of the edges
## Examples
These examples use the following characters to indicate the distance from the centre:
- `#` means the character is a distance of exactly R from the centre
- `.` means the distance is less than or equal to R-1 or greater than or equal to R+1
- `f` or `F` means the floor of the distance is R
- `c` or `C` means the ceiling of the distance is R
- upper case (`F` or `C`) means the distance rounded to the nearest integer is R
Using these characters, the rules are equivalent to:
- Every `#` must be included in the foreground
- Every `.` must be included in the background
- All other characters can be either foreground or background, provided there are no gaps between the foreground characters
This is intended to give the flexibility to allow various different circle drawing approaches to compete.
Examples of valid circles include:
- Every `#`, `f`, and `F` is foreground (every character with a floor of R is foreground)
- Every `#`, `c`, and `C` is foreground (every character with a ceiling of R is foreground)
- Every `#`, `F`, and `C` is foreground (every character that rounds to R is foreground)
- Every `#`, `f`, `F`, `c`, and `C` is foreground (every character with a floor or ceiling of R is foreground)
The potential character placements for radius 1 to 10:
```text
R=1:
F#F
#.#
F#F
R=2:
fF#Ff
Fc.cF
#...#
Fc.cF
fF#Ff
R=3:
.fF#Ff.
fCc.cCf
Fc...cF
#.....#
Fc...cF
fCc.cCf
.fF#Ff.
R=4:
..FF#FF..
.FCc.cCF.
FC.....CF
Fc.....cF
#.......#
Fc.....cF
FC.....CF
.FCc.cCF.
..FF#FF..
R=5:
..fFF#FFf..
.f#cc.cc#f.
f#c.....c#f
Fc.......cF
Fc.......cF
#.........#
Fc.......cF
Fc.......cF
f#c.....c#f
.f#cc.cc#f.
..fFF#FFf..
R=6:
...fFF#FFf...
..FCcc.ccCF..
.FC.......CF.
fC.........Cf
Fc.........cF
Fc.........cF
#...........#
Fc.........cF
Fc.........cF
fC.........Cf
.FC.......CF.
..FCcc.ccCF..
...fFF#FFf...
R=7:
....fFF#FFf....
..fFCcc.ccCFf..
.fFc.......cFf.
.Fc.........cF.
fC...........Cf
Fc...........cF
Fc...........cF
#.............#
Fc...........cF
Fc...........cF
fC...........Cf
.Fc.........cF.
.fFc.......cFf.
..fFCcc.ccCFf..
....fFF#FFf....
R=8:
....ffFF#FFff....
...fFCcc.ccCFf...
..FCc.......cCF..
.fCc.........cCf.
fFc...........cFf
fC.............Cf
Fc.............cF
Fc.............cF
#...............#
Fc.............cF
Fc.............cF
fC.............Cf
fFc...........cFf
.fCc.........cCf.
..FCc.......cCF..
...fFCcc.ccCFf...
....ffFF#FFff....
R=9:
.....fFFF#FFFf.....
....FCCcc.ccCCF....
..fFCc.......cCFf..
..Fc...........cF..
.FC.............CF.
fCc.............cCf
FC...............CF
Fc...............cF
Fc...............cF
#.................#
Fc...............cF
Fc...............cF
FC...............CF
fCc.............cCf
.FC.............CF.
..Fc...........cF..
..fFCc.......cCFf..
....FCCcc.ccCCF....
.....fFFF#FFFf.....
R=10:
......fFFF#FFFf......
....fFCccc.cccCFf....
...f#c.........c#f...
..fCc...........cCf..
.f#c.............c#f.
.Fc...............cF.
fC.................Cf
Fc.................cF
Fc.................cF
Fc.................cF
#...................#
Fc.................cF
Fc.................cF
Fc.................cF
fC.................Cf
.Fc...............cF.
.f#c.............c#f.
..fCc...........cCf..
...f#c.........c#f...
....fFCccc.cccCFf....
......fFFF#FFFf......
```
> Explanations are optional, but I'm more likely to upvote answers that have one.

#9: Post edited by

trichoplax‭ · 2022-10-25T10:34:27Z (over 1 year ago)
Clarify output section

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Given a radius R, output a text representation of a circle.
## Input
- A positive integer R
- You do not need to handle values of R greater than 32
## Output
- A square of characters of side length 2R + 1
- You may choose any 2 distinct characters to represent the foreground (depicting the circle) and the background
- The centre of the circle is the centre of the square. That is, the location (R, R) if using zero indexed coordinates
~~- Each foreground character must have a distance from the centre that has either a floor or a ceiling of R. That is, R-1 < distance < R+1~~
- The circle must not have gaps. Specifically, there must be no connected path of horizontally or vertically adjacent background characters joining the centre to any edge of the square. Equivalently, a flood fill from the centre will not reach any of the corners
## Examples
These examples use the following characters to indicate the distance from the centre:
- `#` means the character is a distance of exactly R from the centre
- `.` means the distance is less than or equal to R-1 or greater than or equal to R+1
- `f` or `F` means the floor of the distance is R
- `c` or `C` means the ceiling of the distance is R
- upper case (`F` or `C`) means the distance rounded to the nearest integer is R
Using these characters, the rules are equivalent to:
- Every `#` must be included in the foreground
- Every `.` must be included in the background
- All other characters can be either foreground or background, provided there are no gaps between the foreground characters
This is intended to give the flexibility to allow various different circle drawing approaches to compete.
Examples of valid circles include:
- Every `#`, `f`, and `F` is foreground (every character with a floor of R is foreground)
- Every `#`, `c`, and `C` is foreground (every character with a ceiling of R is foreground)
- Every `#`, `F`, and `C` is foreground (every character that rounds to R is foreground)
- Every `#`, `f`, `F`, `c`, and `C` is foreground (every character with a floor or ceiling of R is foreground)
The potential character placements for radius 1 to 10:
```text
R=1:
F#F
#.#
F#F
R=2:
fF#Ff
Fc.cF
#...#
Fc.cF
fF#Ff
R=3:
.fF#Ff.
fCc.cCf
Fc...cF
#.....#
Fc...cF
fCc.cCf
.fF#Ff.
R=4:
..FF#FF..
.FCc.cCF.
FC.....CF
Fc.....cF
#.......#
Fc.....cF
FC.....CF
.FCc.cCF.
..FF#FF..
R=5:
..fFF#FFf..
.f#cc.cc#f.
f#c.....c#f
Fc.......cF
Fc.......cF
#.........#
Fc.......cF
Fc.......cF
f#c.....c#f
.f#cc.cc#f.
..fFF#FFf..
R=6:
...fFF#FFf...
..FCcc.ccCF..
.FC.......CF.
fC.........Cf
Fc.........cF
Fc.........cF
#...........#
Fc.........cF
Fc.........cF
fC.........Cf
.FC.......CF.
..FCcc.ccCF..
...fFF#FFf...
R=7:
....fFF#FFf....
..fFCcc.ccCFf..
.fFc.......cFf.
.Fc.........cF.
fC...........Cf
Fc...........cF
Fc...........cF
#.............#
Fc...........cF
Fc...........cF
fC...........Cf
.Fc.........cF.
.fFc.......cFf.
..fFCcc.ccCFf..
....fFF#FFf....
R=8:
....ffFF#FFff....
...fFCcc.ccCFf...
..FCc.......cCF..
.fCc.........cCf.
fFc...........cFf
fC.............Cf
Fc.............cF
Fc.............cF
#...............#
Fc.............cF
Fc.............cF
fC.............Cf
fFc...........cFf
.fCc.........cCf.
..FCc.......cCF..
...fFCcc.ccCFf...
....ffFF#FFff....
R=9:
.....fFFF#FFFf.....
....FCCcc.ccCCF....
..fFCc.......cCFf..
..Fc...........cF..
.FC.............CF.
fCc.............cCf
FC...............CF
Fc...............cF
Fc...............cF
#.................#
Fc...............cF
Fc...............cF
FC...............CF
fCc.............cCf
.FC.............CF.
..Fc...........cF..
..fFCc.......cCFf..
....FCCcc.ccCCF....
.....fFFF#FFFf.....
R=10:
......fFFF#FFFf......
....fFCccc.cccCFf....
...f#c.........c#f...
..fCc...........cCf..
.f#c.............c#f.
.Fc...............cF.
fC.................Cf
Fc.................cF
Fc.................cF
Fc.................cF
#...................#
Fc.................cF
Fc.................cF
Fc.................cF
fC.................Cf
.Fc...............cF.
.f#c.............c#f.
..fCc...........cCf..
...f#c.........c#f...
....fFCccc.cccCFf....
......fFFF#FFFf......
```
> Explanations are optional, but I'm more likely to upvote answers that have one.

Given a radius R, output a text representation of a circle.
## Input
- A positive integer R
- You do not need to handle values of R greater than 32
## Output
- A square of characters of side length 2R + 1
- You may choose any 2 distinct characters to represent the foreground (depicting the circle) and the background
- The centre of the circle is the centre of the square. That is, the location (R, R) if using zero indexed coordinates
- Each foreground character must have a distance from the centre that has either a floor or a ceiling of R. That is, R-1 < distance < R+1. You may use some of each
- The circle must not have gaps. Specifically, there must be no connected path of horizontally or vertically adjacent background characters joining the centre to any edge of the square. Equivalently, a flood fill from the centre will not reach any of the corners
## Examples
These examples use the following characters to indicate the distance from the centre:
- `#` means the character is a distance of exactly R from the centre
- `.` means the distance is less than or equal to R-1 or greater than or equal to R+1
- `f` or `F` means the floor of the distance is R
- `c` or `C` means the ceiling of the distance is R
- upper case (`F` or `C`) means the distance rounded to the nearest integer is R
Using these characters, the rules are equivalent to:
- Every `#` must be included in the foreground
- Every `.` must be included in the background
- All other characters can be either foreground or background, provided there are no gaps between the foreground characters
This is intended to give the flexibility to allow various different circle drawing approaches to compete.
Examples of valid circles include:
- Every `#`, `f`, and `F` is foreground (every character with a floor of R is foreground)
- Every `#`, `c`, and `C` is foreground (every character with a ceiling of R is foreground)
- Every `#`, `F`, and `C` is foreground (every character that rounds to R is foreground)
- Every `#`, `f`, `F`, `c`, and `C` is foreground (every character with a floor or ceiling of R is foreground)
The potential character placements for radius 1 to 10:
```text
R=1:
F#F
#.#
F#F
R=2:
fF#Ff
Fc.cF
#...#
Fc.cF
fF#Ff
R=3:
.fF#Ff.
fCc.cCf
Fc...cF
#.....#
Fc...cF
fCc.cCf
.fF#Ff.
R=4:
..FF#FF..
.FCc.cCF.
FC.....CF
Fc.....cF
#.......#
Fc.....cF
FC.....CF
.FCc.cCF.
..FF#FF..
R=5:
..fFF#FFf..
.f#cc.cc#f.
f#c.....c#f
Fc.......cF
Fc.......cF
#.........#
Fc.......cF
Fc.......cF
f#c.....c#f
.f#cc.cc#f.
..fFF#FFf..
R=6:
...fFF#FFf...
..FCcc.ccCF..
.FC.......CF.
fC.........Cf
Fc.........cF
Fc.........cF
#...........#
Fc.........cF
Fc.........cF
fC.........Cf
.FC.......CF.
..FCcc.ccCF..
...fFF#FFf...
R=7:
....fFF#FFf....
..fFCcc.ccCFf..
.fFc.......cFf.
.Fc.........cF.
fC...........Cf
Fc...........cF
Fc...........cF
#.............#
Fc...........cF
Fc...........cF
fC...........Cf
.Fc.........cF.
.fFc.......cFf.
..fFCcc.ccCFf..
....fFF#FFf....
R=8:
....ffFF#FFff....
...fFCcc.ccCFf...
..FCc.......cCF..
.fCc.........cCf.
fFc...........cFf
fC.............Cf
Fc.............cF
Fc.............cF
#...............#
Fc.............cF
Fc.............cF
fC.............Cf
fFc...........cFf
.fCc.........cCf.
..FCc.......cCF..
...fFCcc.ccCFf...
....ffFF#FFff....
R=9:
.....fFFF#FFFf.....
....FCCcc.ccCCF....
..fFCc.......cCFf..
..Fc...........cF..
.FC.............CF.
fCc.............cCf
FC...............CF
Fc...............cF
Fc...............cF
#.................#
Fc...............cF
Fc...............cF
FC...............CF
fCc.............cCf
.FC.............CF.
..Fc...........cF..
..fFCc.......cCFf..
....FCCcc.ccCCF....
.....fFFF#FFFf.....
R=10:
......fFFF#FFFf......
....fFCccc.cccCFf....
...f#c.........c#f...
..fCc...........cCf..
.f#c.............c#f.
.Fc...............cF.
fC.................Cf
Fc.................cF
Fc.................cF
Fc.................cF
#...................#
Fc.................cF
Fc.................cF
Fc.................cF
fC.................Cf
.Fc...............cF.
.f#c.............c#f.
..fCc...........cCf..
...f#c.........c#f...
....fFCccc.cccCFf....
......fFFF#FFFf......
```
> Explanations are optional, but I'm more likely to upvote answers that have one.

#8: Post edited by

trichoplax‭ · 2022-10-25T10:33:04Z (over 1 year ago)
Simplify output section

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Given a radius R, output a text representation of a circle.
## Input
- A positive integer R
- You do not need to handle values of R greater than 32
## Output
- A square of characters of side length 2R + 1
- You may choose any 2 distinct characters to represent the foreground (depicting the circle) and the background
- The centre of the circle is the centre of the square. That is, the location (R, R) if using zero indexed coordinates
- The foreground characters that make up the circle must satisfy the following:
- each foreground character must have a distance from the centre that has either a floor or a ceiling of R. That is, R-1 < distance < R+1
~~- each character that is at a distance from the centre of exactly R must be a foreground character~~
- The circle must not have gaps. Specifically, there must be no connected path of horizontally or vertically adjacent background characters joining the centre to any edge of the square. Equivalently, a flood fill from the centre will not reach any of the corners
## Examples
These examples use the following characters to indicate the distance from the centre:
- `#` means the character is a distance of exactly R from the centre
- `.` means the distance is less than or equal to R-1 or greater than or equal to R+1
- `f` or `F` means the floor of the distance is R
- `c` or `C` means the ceiling of the distance is R
- upper case (`F` or `C`) means the distance rounded to the nearest integer is R
Using these characters, the rules are equivalent to:
- Every `#` must be included in the foreground
- Every `.` must be included in the background
- All other characters can be either foreground or background, provided there are no gaps between the foreground characters
This is intended to give the flexibility to allow various different circle drawing approaches to compete.
Examples of valid circles include:
- Every `#`, `f`, and `F` is foreground (every character with a floor of R is foreground)
- Every `#`, `c`, and `C` is foreground (every character with a ceiling of R is foreground)
- Every `#`, `F`, and `C` is foreground (every character that rounds to R is foreground)
- Every `#`, `f`, `F`, `c`, and `C` is foreground (every character with a floor or ceiling of R is foreground)
The potential character placements for radius 1 to 10:
```text
R=1:
F#F
#.#
F#F
R=2:
fF#Ff
Fc.cF
#...#
Fc.cF
fF#Ff
R=3:
.fF#Ff.
fCc.cCf
Fc...cF
#.....#
Fc...cF
fCc.cCf
.fF#Ff.
R=4:
..FF#FF..
.FCc.cCF.
FC.....CF
Fc.....cF
#.......#
Fc.....cF
FC.....CF
.FCc.cCF.
..FF#FF..
R=5:
..fFF#FFf..
.f#cc.cc#f.
f#c.....c#f
Fc.......cF
Fc.......cF
#.........#
Fc.......cF
Fc.......cF
f#c.....c#f
.f#cc.cc#f.
..fFF#FFf..
R=6:
...fFF#FFf...
..FCcc.ccCF..
.FC.......CF.
fC.........Cf
Fc.........cF
Fc.........cF
#...........#
Fc.........cF
Fc.........cF
fC.........Cf
.FC.......CF.
..FCcc.ccCF..
...fFF#FFf...
R=7:
....fFF#FFf....
..fFCcc.ccCFf..
.fFc.......cFf.
.Fc.........cF.
fC...........Cf
Fc...........cF
Fc...........cF
#.............#
Fc...........cF
Fc...........cF
fC...........Cf
.Fc.........cF.
.fFc.......cFf.
..fFCcc.ccCFf..
....fFF#FFf....
R=8:
....ffFF#FFff....
...fFCcc.ccCFf...
..FCc.......cCF..
.fCc.........cCf.
fFc...........cFf
fC.............Cf
Fc.............cF
Fc.............cF
#...............#
Fc.............cF
Fc.............cF
fC.............Cf
fFc...........cFf
.fCc.........cCf.
..FCc.......cCF..
...fFCcc.ccCFf...
....ffFF#FFff....
R=9:
.....fFFF#FFFf.....
....FCCcc.ccCCF....
..fFCc.......cCFf..
..Fc...........cF..
.FC.............CF.
fCc.............cCf
FC...............CF
Fc...............cF
Fc...............cF
#.................#
Fc...............cF
Fc...............cF
FC...............CF
fCc.............cCf
.FC.............CF.
..Fc...........cF..
..fFCc.......cCFf..
....FCCcc.ccCCF....
.....fFFF#FFFf.....
R=10:
......fFFF#FFFf......
....fFCccc.cccCFf....
...f#c.........c#f...
..fCc...........cCf..
.f#c.............c#f.
.Fc...............cF.
fC.................Cf
Fc.................cF
Fc.................cF
Fc.................cF
#...................#
Fc.................cF
Fc.................cF
Fc.................cF
fC.................Cf
.Fc...............cF.
.f#c.............c#f.
..fCc...........cCf..
...f#c.........c#f...
....fFCccc.cccCFf....
......fFFF#FFFf......
```
> Explanations are optional, but I'm more likely to upvote answers that have one.

Given a radius R, output a text representation of a circle.
## Input
- A positive integer R
- You do not need to handle values of R greater than 32
## Output
- A square of characters of side length 2R + 1
- You may choose any 2 distinct characters to represent the foreground (depicting the circle) and the background
- The centre of the circle is the centre of the square. That is, the location (R, R) if using zero indexed coordinates
- Each foreground character must have a distance from the centre that has either a floor or a ceiling of R. That is, R-1 < distance < R+1
- The circle must not have gaps. Specifically, there must be no connected path of horizontally or vertically adjacent background characters joining the centre to any edge of the square. Equivalently, a flood fill from the centre will not reach any of the corners
## Examples
These examples use the following characters to indicate the distance from the centre:
- `#` means the character is a distance of exactly R from the centre
- `.` means the distance is less than or equal to R-1 or greater than or equal to R+1
- `f` or `F` means the floor of the distance is R
- `c` or `C` means the ceiling of the distance is R
- upper case (`F` or `C`) means the distance rounded to the nearest integer is R
Using these characters, the rules are equivalent to:
- Every `#` must be included in the foreground
- Every `.` must be included in the background
- All other characters can be either foreground or background, provided there are no gaps between the foreground characters
This is intended to give the flexibility to allow various different circle drawing approaches to compete.
Examples of valid circles include:
- Every `#`, `f`, and `F` is foreground (every character with a floor of R is foreground)
- Every `#`, `c`, and `C` is foreground (every character with a ceiling of R is foreground)
- Every `#`, `F`, and `C` is foreground (every character that rounds to R is foreground)
- Every `#`, `f`, `F`, `c`, and `C` is foreground (every character with a floor or ceiling of R is foreground)
The potential character placements for radius 1 to 10:
```text
R=1:
F#F
#.#
F#F
R=2:
fF#Ff
Fc.cF
#...#
Fc.cF
fF#Ff
R=3:
.fF#Ff.
fCc.cCf
Fc...cF
#.....#
Fc...cF
fCc.cCf
.fF#Ff.
R=4:
..FF#FF..
.FCc.cCF.
FC.....CF
Fc.....cF
#.......#
Fc.....cF
FC.....CF
.FCc.cCF.
..FF#FF..
R=5:
..fFF#FFf..
.f#cc.cc#f.
f#c.....c#f
Fc.......cF
Fc.......cF
#.........#
Fc.......cF
Fc.......cF
f#c.....c#f
.f#cc.cc#f.
..fFF#FFf..
R=6:
...fFF#FFf...
..FCcc.ccCF..
.FC.......CF.
fC.........Cf
Fc.........cF
Fc.........cF
#...........#
Fc.........cF
Fc.........cF
fC.........Cf
.FC.......CF.
..FCcc.ccCF..
...fFF#FFf...
R=7:
....fFF#FFf....
..fFCcc.ccCFf..
.fFc.......cFf.
.Fc.........cF.
fC...........Cf
Fc...........cF
Fc...........cF
#.............#
Fc...........cF
Fc...........cF
fC...........Cf
.Fc.........cF.
.fFc.......cFf.
..fFCcc.ccCFf..
....fFF#FFf....
R=8:
....ffFF#FFff....
...fFCcc.ccCFf...
..FCc.......cCF..
.fCc.........cCf.
fFc...........cFf
fC.............Cf
Fc.............cF
Fc.............cF
#...............#
Fc.............cF
Fc.............cF
fC.............Cf
fFc...........cFf
.fCc.........cCf.
..FCc.......cCF..
...fFCcc.ccCFf...
....ffFF#FFff....
R=9:
.....fFFF#FFFf.....
....FCCcc.ccCCF....
..fFCc.......cCFf..
..Fc...........cF..
.FC.............CF.
fCc.............cCf
FC...............CF
Fc...............cF
Fc...............cF
#.................#
Fc...............cF
Fc...............cF
FC...............CF
fCc.............cCf
.FC.............CF.
..Fc...........cF..
..fFCc.......cCFf..
....FCCcc.ccCCF....
.....fFFF#FFFf.....
R=10:
......fFFF#FFFf......
....fFCccc.cccCFf....
...f#c.........c#f...
..fCc...........cCf..
.f#c.............c#f.
.Fc...............cF.
fC.................Cf
Fc.................cF
Fc.................cF
Fc.................cF
#...................#
Fc.................cF
Fc.................cF
Fc.................cF
fC.................Cf
.Fc...............cF.
.f#c.............c#f.
..fCc...........cCf..
...f#c.........c#f...
....fFCccc.cccCFf....
......fFFF#FFFf......
```
> Explanations are optional, but I'm more likely to upvote answers that have one.

#7: Post edited by

trichoplax‭ · 2022-10-25T09:39:29Z (over 1 year ago)
Fix validity criterion

Copy Link

Raw

Markdown

Given a radius R, output a text representation of a circle.
## Input
- A positive integer R
- You do not need to handle values of R greater than 32
## Output
- A square of characters of side length 2R + 1
- You may choose any 2 distinct characters to represent the foreground (depicting the circle) and the background
- The centre of the circle is the centre of the square. That is, the location (R, R) if using zero indexed coordinates
- The foreground characters that make up the circle must satisfy the following:
- each foreground character must have a distance from the centre that has either a floor or a ceiling of R. That is, R-1 < distance < R+1
- each character that is at a distance from the centre of exactly R must be a foreground character
- The circle must not have gaps. Specifically, there must be no connected path of horizontally or vertically adjacent background characters joining the centre to any corner of the square. Equivalently, a flood fill from the centre will not reach any of the corners
## Examples
These examples use the following characters to indicate the distance from the centre:
- `#` means the character is a distance of exactly R from the centre
- `.` means the distance is less than or equal to R-1 or greater than or equal to R+1
- `f` or `F` means the floor of the distance is R
- `c` or `C` means the ceiling of the distance is R
- upper case (`F` or `C`) means the distance rounded to the nearest integer is R
Using these characters, the rules are equivalent to:
- Every `#` must be included in the foreground
- Every `.` must be included in the background
- All other characters can be either foreground or background, provided there are no gaps between the foreground characters
This is intended to give the flexibility to allow various different circle drawing approaches to compete.
Examples of valid circles include:
- Every `#`, `f`, and `F` is foreground (every character with a floor of R is foreground)
- Every `#`, `c`, and `C` is foreground (every character with a ceiling of R is foreground)
- Every `#`, `F`, and `C` is foreground (every character that rounds to R is foreground)
- Every `#`, `f`, `F`, `c`, and `C` is foreground (every character with a floor or ceiling of R is foreground)
The potential character placements for radius 1 to 10:
```text
R=1:
F#F
#.#
F#F
R=2:
fF#Ff
Fc.cF
#...#
Fc.cF
fF#Ff
R=3:
.fF#Ff.
fCc.cCf
Fc...cF
#.....#
Fc...cF
fCc.cCf
.fF#Ff.
R=4:
..FF#FF..
.FCc.cCF.
FC.....CF
Fc.....cF
#.......#
Fc.....cF
FC.....CF
.FCc.cCF.
..FF#FF..
R=5:
..fFF#FFf..
.f#cc.cc#f.
f#c.....c#f
Fc.......cF
Fc.......cF
#.........#
Fc.......cF
Fc.......cF
f#c.....c#f
.f#cc.cc#f.
..fFF#FFf..
R=6:
...fFF#FFf...
..FCcc.ccCF..
.FC.......CF.
fC.........Cf
Fc.........cF
Fc.........cF
#...........#
Fc.........cF
Fc.........cF
fC.........Cf
.FC.......CF.
..FCcc.ccCF..
...fFF#FFf...
R=7:
....fFF#FFf....
..fFCcc.ccCFf..
.fFc.......cFf.
.Fc.........cF.
fC...........Cf
Fc...........cF
Fc...........cF
#.............#
Fc...........cF
Fc...........cF
fC...........Cf
.Fc.........cF.
.fFc.......cFf.
..fFCcc.ccCFf..
....fFF#FFf....
R=8:
....ffFF#FFff....
...fFCcc.ccCFf...
..FCc.......cCF..
.fCc.........cCf.
fFc...........cFf
fC.............Cf
Fc.............cF
Fc.............cF
#...............#
Fc.............cF
Fc.............cF
fC.............Cf
fFc...........cFf
.fCc.........cCf.
..FCc.......cCF..
...fFCcc.ccCFf...
....ffFF#FFff....
R=9:
.....fFFF#FFFf.....
....FCCcc.ccCCF....
..fFCc.......cCFf..
..Fc...........cF..
.FC.............CF.
fCc.............cCf
FC...............CF
Fc...............cF
Fc...............cF
#.................#
Fc...............cF
Fc...............cF
FC...............CF
fCc.............cCf
.FC.............CF.
..Fc...........cF..
..fFCc.......cCFf..
....FCCcc.ccCCF....
.....fFFF#FFFf.....
R=10:
......fFFF#FFFf......
....fFCccc.cccCFf....
...f#c.........c#f...
..fCc...........cCf..
.f#c.............c#f.
.Fc...............cF.
fC.................Cf
Fc.................cF
Fc.................cF
Fc.................cF
#...................#
Fc.................cF
Fc.................cF
Fc.................cF
fC.................Cf
.Fc...............cF.
.f#c.............c#f.
..fCc...........cCf..
...f#c.........c#f...
....fFCccc.cccCFf....
......fFFF#FFFf......
```
> Explanations are optional, but I'm more likely to upvote answers that have one.

Given a radius R, output a text representation of a circle.
## Input
- A positive integer R
- You do not need to handle values of R greater than 32
## Output
- A square of characters of side length 2R + 1
- You may choose any 2 distinct characters to represent the foreground (depicting the circle) and the background
- The centre of the circle is the centre of the square. That is, the location (R, R) if using zero indexed coordinates
- The foreground characters that make up the circle must satisfy the following:
- each foreground character must have a distance from the centre that has either a floor or a ceiling of R. That is, R-1 < distance < R+1
- each character that is at a distance from the centre of exactly R must be a foreground character
- The circle must not have gaps. Specifically, there must be no connected path of horizontally or vertically adjacent background characters joining the centre to any edge of the square. Equivalently, a flood fill from the centre will not reach any of the corners
## Examples
These examples use the following characters to indicate the distance from the centre:
- `#` means the character is a distance of exactly R from the centre
- `.` means the distance is less than or equal to R-1 or greater than or equal to R+1
- `f` or `F` means the floor of the distance is R
- `c` or `C` means the ceiling of the distance is R
- upper case (`F` or `C`) means the distance rounded to the nearest integer is R
Using these characters, the rules are equivalent to:
- Every `#` must be included in the foreground
- Every `.` must be included in the background
- All other characters can be either foreground or background, provided there are no gaps between the foreground characters
This is intended to give the flexibility to allow various different circle drawing approaches to compete.
Examples of valid circles include:
- Every `#`, `f`, and `F` is foreground (every character with a floor of R is foreground)
- Every `#`, `c`, and `C` is foreground (every character with a ceiling of R is foreground)
- Every `#`, `F`, and `C` is foreground (every character that rounds to R is foreground)
- Every `#`, `f`, `F`, `c`, and `C` is foreground (every character with a floor or ceiling of R is foreground)
The potential character placements for radius 1 to 10:
```text
R=1:
F#F
#.#
F#F
R=2:
fF#Ff
Fc.cF
#...#
Fc.cF
fF#Ff
R=3:
.fF#Ff.
fCc.cCf
Fc...cF
#.....#
Fc...cF
fCc.cCf
.fF#Ff.
R=4:
..FF#FF..
.FCc.cCF.
FC.....CF
Fc.....cF
#.......#
Fc.....cF
FC.....CF
.FCc.cCF.
..FF#FF..
R=5:
..fFF#FFf..
.f#cc.cc#f.
f#c.....c#f
Fc.......cF
Fc.......cF
#.........#
Fc.......cF
Fc.......cF
f#c.....c#f
.f#cc.cc#f.
..fFF#FFf..
R=6:
...fFF#FFf...
..FCcc.ccCF..
.FC.......CF.
fC.........Cf
Fc.........cF
Fc.........cF
#...........#
Fc.........cF
Fc.........cF
fC.........Cf
.FC.......CF.
..FCcc.ccCF..
...fFF#FFf...
R=7:
....fFF#FFf....
..fFCcc.ccCFf..
.fFc.......cFf.
.Fc.........cF.
fC...........Cf
Fc...........cF
Fc...........cF
#.............#
Fc...........cF
Fc...........cF
fC...........Cf
.Fc.........cF.
.fFc.......cFf.
..fFCcc.ccCFf..
....fFF#FFf....
R=8:
....ffFF#FFff....
...fFCcc.ccCFf...
..FCc.......cCF..
.fCc.........cCf.
fFc...........cFf
fC.............Cf
Fc.............cF
Fc.............cF
#...............#
Fc.............cF
Fc.............cF
fC.............Cf
fFc...........cFf
.fCc.........cCf.
..FCc.......cCF..
...fFCcc.ccCFf...
....ffFF#FFff....
R=9:
.....fFFF#FFFf.....
....FCCcc.ccCCF....
..fFCc.......cCFf..
..Fc...........cF..
.FC.............CF.
fCc.............cCf
FC...............CF
Fc...............cF
Fc...............cF
#.................#
Fc...............cF
Fc...............cF
FC...............CF
fCc.............cCf
.FC.............CF.
..Fc...........cF..
..fFCc.......cCFf..
....FCCcc.ccCCF....
.....fFFF#FFFf.....
R=10:
......fFFF#FFFf......
....fFCccc.cccCFf....
...f#c.........c#f...
..fCc...........cCf..
.f#c.............c#f.
.Fc...............cF.
fC.................Cf
Fc.................cF
Fc.................cF
Fc.................cF
#...................#
Fc.................cF
Fc.................cF
Fc.................cF
fC.................Cf
.Fc...............cF.
.f#c.............c#f.
..fCc...........cCf..
...f#c.........c#f...
....fFCccc.cccCFf....
......fFFF#FFFf......
```
> Explanations are optional, but I'm more likely to upvote answers that have one.

#6: Post edited by

trichoplax‭ · 2022-10-08T15:54:37Z (over 1 year ago)
Add an extra example of a valid circle

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Raw

Markdown

Given a radius R, output a text representation of a circle.
## Input
- A positive integer R
- You do not need to handle values of R greater than 32
## Output
- A square of characters of side length 2R + 1
- You may choose any 2 distinct characters to represent the foreground (depicting the circle) and the background
- The centre of the circle is the centre of the square. That is, the location (R, R) if using zero indexed coordinates
- The foreground characters that make up the circle must satisfy the following:
- each foreground character must have a distance from the centre that has either a floor or a ceiling of R. That is, R-1 < distance < R+1
- each character that is at a distance from the centre of exactly R must be a foreground character
- The circle must not have gaps. Specifically, there must be no connected path of horizontally or vertically adjacent background characters joining the centre to any corner of the square. Equivalently, a flood fill from the centre will not reach any of the corners
## Examples
These examples use the following characters to indicate the distance from the centre:
- `#` means the character is a distance of exactly R from the centre
- `.` means the distance is less than or equal to R-1 or greater than or equal to R+1
- `f` or `F` means the floor of the distance is R
- `c` or `C` means the ceiling of the distance is R
- upper case (`F` or `C`) means the distance rounded to the nearest integer is R
Using these characters, the rules are equivalent to:
- Every `#` must be included in the foreground
- Every `.` must be included in the background
- All other characters can be either foreground or background, provided there are no gaps between the foreground characters
This is intended to give the flexibility to allow various different circle drawing approaches to compete.
Examples of valid circles include:
- Every `#`, `f`, and `F` is foreground (every character with a floor of R is foreground)
- Every `#`, `c`, and `C` is foreground (every character with a ceiling of R is foreground)
- Every `#`, `F`, and `C` is foreground (every character that rounds to R is foreground)
The potential character placements for radius 1 to 10:
```text
R=1:
F#F
#.#
F#F
R=2:
fF#Ff
Fc.cF
#...#
Fc.cF
fF#Ff
R=3:
.fF#Ff.
fCc.cCf
Fc...cF
#.....#
Fc...cF
fCc.cCf
.fF#Ff.
R=4:
..FF#FF..
.FCc.cCF.
FC.....CF
Fc.....cF
#.......#
Fc.....cF
FC.....CF
.FCc.cCF.
..FF#FF..
R=5:
..fFF#FFf..
.f#cc.cc#f.
f#c.....c#f
Fc.......cF
Fc.......cF
#.........#
Fc.......cF
Fc.......cF
f#c.....c#f
.f#cc.cc#f.
..fFF#FFf..
R=6:
...fFF#FFf...
..FCcc.ccCF..
.FC.......CF.
fC.........Cf
Fc.........cF
Fc.........cF
#...........#
Fc.........cF
Fc.........cF
fC.........Cf
.FC.......CF.
..FCcc.ccCF..
...fFF#FFf...
R=7:
....fFF#FFf....
..fFCcc.ccCFf..
.fFc.......cFf.
.Fc.........cF.
fC...........Cf
Fc...........cF
Fc...........cF
#.............#
Fc...........cF
Fc...........cF
fC...........Cf
.Fc.........cF.
.fFc.......cFf.
..fFCcc.ccCFf..
....fFF#FFf....
R=8:
....ffFF#FFff....
...fFCcc.ccCFf...
..FCc.......cCF..
.fCc.........cCf.
fFc...........cFf
fC.............Cf
Fc.............cF
Fc.............cF
#...............#
Fc.............cF
Fc.............cF
fC.............Cf
fFc...........cFf
.fCc.........cCf.
..FCc.......cCF..
...fFCcc.ccCFf...
....ffFF#FFff....
R=9:
.....fFFF#FFFf.....
....FCCcc.ccCCF....
..fFCc.......cCFf..
..Fc...........cF..
.FC.............CF.
fCc.............cCf
FC...............CF
Fc...............cF
Fc...............cF
#.................#
Fc...............cF
Fc...............cF
FC...............CF
fCc.............cCf
.FC.............CF.
..Fc...........cF..
..fFCc.......cCFf..
....FCCcc.ccCCF....
.....fFFF#FFFf.....
R=10:
......fFFF#FFFf......
....fFCccc.cccCFf....
...f#c.........c#f...
..fCc...........cCf..
.f#c.............c#f.
.Fc...............cF.
fC.................Cf
Fc.................cF
Fc.................cF
Fc.................cF
#...................#
Fc.................cF
Fc.................cF
Fc.................cF
fC.................Cf
.Fc...............cF.
.f#c.............c#f.
..fCc...........cCf..
...f#c.........c#f...
....fFCccc.cccCFf....
......fFFF#FFFf......
```
~~> Explanations in answers are optional, but I'm more likely to upvote answers that have one.~~

Given a radius R, output a text representation of a circle.
## Input
- A positive integer R
- You do not need to handle values of R greater than 32
## Output
- A square of characters of side length 2R + 1
- You may choose any 2 distinct characters to represent the foreground (depicting the circle) and the background
- The centre of the circle is the centre of the square. That is, the location (R, R) if using zero indexed coordinates
- The foreground characters that make up the circle must satisfy the following:
- each foreground character must have a distance from the centre that has either a floor or a ceiling of R. That is, R-1 < distance < R+1
- each character that is at a distance from the centre of exactly R must be a foreground character
- The circle must not have gaps. Specifically, there must be no connected path of horizontally or vertically adjacent background characters joining the centre to any corner of the square. Equivalently, a flood fill from the centre will not reach any of the corners
## Examples
These examples use the following characters to indicate the distance from the centre:
- `#` means the character is a distance of exactly R from the centre
- `.` means the distance is less than or equal to R-1 or greater than or equal to R+1
- `f` or `F` means the floor of the distance is R
- `c` or `C` means the ceiling of the distance is R
- upper case (`F` or `C`) means the distance rounded to the nearest integer is R
Using these characters, the rules are equivalent to:
- Every `#` must be included in the foreground
- Every `.` must be included in the background
- All other characters can be either foreground or background, provided there are no gaps between the foreground characters
This is intended to give the flexibility to allow various different circle drawing approaches to compete.
Examples of valid circles include:
- Every `#`, `f`, and `F` is foreground (every character with a floor of R is foreground)
- Every `#`, `c`, and `C` is foreground (every character with a ceiling of R is foreground)
- Every `#`, `F`, and `C` is foreground (every character that rounds to R is foreground)
- Every `#`, `f`, `F`, `c`, and `C` is foreground (every character with a floor or ceiling of R is foreground)
The potential character placements for radius 1 to 10:
```text
R=1:
F#F
#.#
F#F
R=2:
fF#Ff
Fc.cF
#...#
Fc.cF
fF#Ff
R=3:
.fF#Ff.
fCc.cCf
Fc...cF
#.....#
Fc...cF
fCc.cCf
.fF#Ff.
R=4:
..FF#FF..
.FCc.cCF.
FC.....CF
Fc.....cF
#.......#
Fc.....cF
FC.....CF
.FCc.cCF.
..FF#FF..
R=5:
..fFF#FFf..
.f#cc.cc#f.
f#c.....c#f
Fc.......cF
Fc.......cF
#.........#
Fc.......cF
Fc.......cF
f#c.....c#f
.f#cc.cc#f.
..fFF#FFf..
R=6:
...fFF#FFf...
..FCcc.ccCF..
.FC.......CF.
fC.........Cf
Fc.........cF
Fc.........cF
#...........#
Fc.........cF
Fc.........cF
fC.........Cf
.FC.......CF.
..FCcc.ccCF..
...fFF#FFf...
R=7:
....fFF#FFf....
..fFCcc.ccCFf..
.fFc.......cFf.
.Fc.........cF.
fC...........Cf
Fc...........cF
Fc...........cF
#.............#
Fc...........cF
Fc...........cF
fC...........Cf
.Fc.........cF.
.fFc.......cFf.
..fFCcc.ccCFf..
....fFF#FFf....
R=8:
....ffFF#FFff....
...fFCcc.ccCFf...
..FCc.......cCF..
.fCc.........cCf.
fFc...........cFf
fC.............Cf
Fc.............cF
Fc.............cF
#...............#
Fc.............cF
Fc.............cF
fC.............Cf
fFc...........cFf
.fCc.........cCf.
..FCc.......cCF..
...fFCcc.ccCFf...
....ffFF#FFff....
R=9:
.....fFFF#FFFf.....
....FCCcc.ccCCF....
..fFCc.......cCFf..
..Fc...........cF..
.FC.............CF.
fCc.............cCf
FC...............CF
Fc...............cF
Fc...............cF
#.................#
Fc...............cF
Fc...............cF
FC...............CF
fCc.............cCf
.FC.............CF.
..Fc...........cF..
..fFCc.......cCFf..
....FCCcc.ccCCF....
.....fFFF#FFFf.....
R=10:
......fFFF#FFFf......
....fFCccc.cccCFf....
...f#c.........c#f...
..fCc...........cCf..
.f#c.............c#f.
.Fc...............cF.
fC.................Cf
Fc.................cF
Fc.................cF
Fc.................cF
#...................#
Fc.................cF
Fc.................cF
Fc.................cF
fC.................Cf
.Fc...............cF.
.f#c.............c#f.
..fCc...........cCf..
...f#c.........c#f...
....fFCccc.cccCFf....
......fFFF#FFFf......
```
> Explanations are optional, but I'm more likely to upvote answers that have one.

#5: Post edited by

trichoplax‭ · 2022-10-07T08:23:36Z (over 1 year ago)
Invite explanations

Copy Link

Raw

Markdown

Given a radius R, output a text representation of a circle.
## Input
- A positive integer R
- You do not need to handle values of R greater than 32
## Output
- A square of characters of side length 2R + 1
- You may choose any 2 distinct characters to represent the foreground (depicting the circle) and the background
- The centre of the circle is the centre of the square. That is, the location (R, R) if using zero indexed coordinates
- The foreground characters that make up the circle must satisfy the following:
- each foreground character must have a distance from the centre that has either a floor or a ceiling of R. That is, R-1 < distance < R+1
- each character that is at a distance from the centre of exactly R must be a foreground character
- The circle must not have gaps. Specifically, there must be no connected path of horizontally or vertically adjacent background characters joining the centre to any corner of the square. Equivalently, a flood fill from the centre will not reach any of the corners
## Examples
These examples use the following characters to indicate the distance from the centre:
- `#` means the character is a distance of exactly R from the centre
- `.` means the distance is less than or equal to R-1 or greater than or equal to R+1
- `f` or `F` means the floor of the distance is R
- `c` or `C` means the ceiling of the distance is R
- upper case (`F` or `C`) means the distance rounded to the nearest integer is R
Using these characters, the rules are equivalent to:
- Every `#` must be included in the foreground
- Every `.` must be included in the background
- All other characters can be either foreground or background, provided there are no gaps between the foreground characters
This is intended to give the flexibility to allow various different circle drawing approaches to compete.
Examples of valid circles include:
- Every `#`, `f`, and `F` is foreground (every character with a floor of R is foreground)
- Every `#`, `c`, and `C` is foreground (every character with a ceiling of R is foreground)
- Every `#`, `F`, and `C` is foreground (every character that rounds to R is foreground)
The potential character placements for radius 1 to 10:
```text
R=1:
F#F
#.#
F#F
R=2:
fF#Ff
Fc.cF
#...#
Fc.cF
fF#Ff
R=3:
.fF#Ff.
fCc.cCf
Fc...cF
#.....#
Fc...cF
fCc.cCf
.fF#Ff.
R=4:
..FF#FF..
.FCc.cCF.
FC.....CF
Fc.....cF
#.......#
Fc.....cF
FC.....CF
.FCc.cCF.
..FF#FF..
R=5:
..fFF#FFf..
.f#cc.cc#f.
f#c.....c#f
Fc.......cF
Fc.......cF
#.........#
Fc.......cF
Fc.......cF
f#c.....c#f
.f#cc.cc#f.
..fFF#FFf..
R=6:
...fFF#FFf...
..FCcc.ccCF..
.FC.......CF.
fC.........Cf
Fc.........cF
Fc.........cF
#...........#
Fc.........cF
Fc.........cF
fC.........Cf
.FC.......CF.
..FCcc.ccCF..
...fFF#FFf...
R=7:
....fFF#FFf....
..fFCcc.ccCFf..
.fFc.......cFf.
.Fc.........cF.
fC...........Cf
Fc...........cF
Fc...........cF
#.............#
Fc...........cF
Fc...........cF
fC...........Cf
.Fc.........cF.
.fFc.......cFf.
..fFCcc.ccCFf..
....fFF#FFf....
R=8:
....ffFF#FFff....
...fFCcc.ccCFf...
..FCc.......cCF..
.fCc.........cCf.
fFc...........cFf
fC.............Cf
Fc.............cF
Fc.............cF
#...............#
Fc.............cF
Fc.............cF
fC.............Cf
fFc...........cFf
.fCc.........cCf.
..FCc.......cCF..
...fFCcc.ccCFf...
....ffFF#FFff....
R=9:
.....fFFF#FFFf.....
....FCCcc.ccCCF....
..fFCc.......cCFf..
..Fc...........cF..
.FC.............CF.
fCc.............cCf
FC...............CF
Fc...............cF
Fc...............cF
#.................#
Fc...............cF
Fc...............cF
FC...............CF
fCc.............cCf
.FC.............CF.
..Fc...........cF..
..fFCc.......cCFf..
....FCCcc.ccCCF....
.....fFFF#FFFf.....
R=10:
......fFFF#FFFf......
....fFCccc.cccCFf....
...f#c.........c#f...
..fCc...........cCf..
.f#c.............c#f.
.Fc...............cF.
fC.................Cf
Fc.................cF
Fc.................cF
Fc.................cF
#...................#
Fc.................cF
Fc.................cF
Fc.................cF
fC.................Cf
.Fc...............cF.
.f#c.............c#f.
..fCc...........cCf..
...f#c.........c#f...
....fFCccc.cccCFf....
......fFFF#FFFf......
~~```~~

Given a radius R, output a text representation of a circle.
## Input
- A positive integer R
- You do not need to handle values of R greater than 32
## Output
- A square of characters of side length 2R + 1
- You may choose any 2 distinct characters to represent the foreground (depicting the circle) and the background
- The centre of the circle is the centre of the square. That is, the location (R, R) if using zero indexed coordinates
- The foreground characters that make up the circle must satisfy the following:
- each foreground character must have a distance from the centre that has either a floor or a ceiling of R. That is, R-1 < distance < R+1
- each character that is at a distance from the centre of exactly R must be a foreground character
- The circle must not have gaps. Specifically, there must be no connected path of horizontally or vertically adjacent background characters joining the centre to any corner of the square. Equivalently, a flood fill from the centre will not reach any of the corners
## Examples
These examples use the following characters to indicate the distance from the centre:
- `#` means the character is a distance of exactly R from the centre
- `.` means the distance is less than or equal to R-1 or greater than or equal to R+1
- `f` or `F` means the floor of the distance is R
- `c` or `C` means the ceiling of the distance is R
- upper case (`F` or `C`) means the distance rounded to the nearest integer is R
Using these characters, the rules are equivalent to:
- Every `#` must be included in the foreground
- Every `.` must be included in the background
- All other characters can be either foreground or background, provided there are no gaps between the foreground characters
This is intended to give the flexibility to allow various different circle drawing approaches to compete.
Examples of valid circles include:
- Every `#`, `f`, and `F` is foreground (every character with a floor of R is foreground)
- Every `#`, `c`, and `C` is foreground (every character with a ceiling of R is foreground)
- Every `#`, `F`, and `C` is foreground (every character that rounds to R is foreground)
The potential character placements for radius 1 to 10:
```text
R=1:
F#F
#.#
F#F
R=2:
fF#Ff
Fc.cF
#...#
Fc.cF
fF#Ff
R=3:
.fF#Ff.
fCc.cCf
Fc...cF
#.....#
Fc...cF
fCc.cCf
.fF#Ff.
R=4:
..FF#FF..
.FCc.cCF.
FC.....CF
Fc.....cF
#.......#
Fc.....cF
FC.....CF
.FCc.cCF.
..FF#FF..
R=5:
..fFF#FFf..
.f#cc.cc#f.
f#c.....c#f
Fc.......cF
Fc.......cF
#.........#
Fc.......cF
Fc.......cF
f#c.....c#f
.f#cc.cc#f.
..fFF#FFf..
R=6:
...fFF#FFf...
..FCcc.ccCF..
.FC.......CF.
fC.........Cf
Fc.........cF
Fc.........cF
#...........#
Fc.........cF
Fc.........cF
fC.........Cf
.FC.......CF.
..FCcc.ccCF..
...fFF#FFf...
R=7:
....fFF#FFf....
..fFCcc.ccCFf..
.fFc.......cFf.
.Fc.........cF.
fC...........Cf
Fc...........cF
Fc...........cF
#.............#
Fc...........cF
Fc...........cF
fC...........Cf
.Fc.........cF.
.fFc.......cFf.
..fFCcc.ccCFf..
....fFF#FFf....
R=8:
....ffFF#FFff....
...fFCcc.ccCFf...
..FCc.......cCF..
.fCc.........cCf.
fFc...........cFf
fC.............Cf
Fc.............cF
Fc.............cF
#...............#
Fc.............cF
Fc.............cF
fC.............Cf
fFc...........cFf
.fCc.........cCf.
..FCc.......cCF..
...fFCcc.ccCFf...
....ffFF#FFff....
R=9:
.....fFFF#FFFf.....
....FCCcc.ccCCF....
..fFCc.......cCFf..
..Fc...........cF..
.FC.............CF.
fCc.............cCf
FC...............CF
Fc...............cF
Fc...............cF
#.................#
Fc...............cF
Fc...............cF
FC...............CF
fCc.............cCf
.FC.............CF.
..Fc...........cF..
..fFCc.......cCFf..
....FCCcc.ccCCF....
.....fFFF#FFFf.....
R=10:
......fFFF#FFFf......
....fFCccc.cccCFf....
...f#c.........c#f...
..fCc...........cCf..
.f#c.............c#f.
.Fc...............cF.
fC.................Cf
Fc.................cF
Fc.................cF
Fc.................cF
#...................#
Fc.................cF
Fc.................cF
Fc.................cF
fC.................Cf
.Fc...............cF.
.f#c.............c#f.
..fCc...........cCf..
...f#c.........c#f...
....fFCccc.cccCFf....
......fFFF#FFFf......
```
> Explanations in answers are optional, but I'm more likely to upvote answers that have one.

#4: Post edited by

trichoplax‭ · 2022-10-07T06:15:39Z (over 1 year ago)
Trim redundant example text

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Given a radius R, output a text representation of a circle.
## Input
- A positive integer R
- You do not need to handle values of R greater than 32
## Output
- A square of characters of side length 2R + 1
- You may choose any 2 distinct characters to represent the foreground (depicting the circle) and the background
- The centre of the circle is the centre of the square. That is, the location (R, R) if using zero indexed coordinates
- The foreground characters that make up the circle must satisfy the following:
- each foreground character must have a distance from the centre that has either a floor or a ceiling of R. That is, R-1 < distance < R+1
- each character that is at a distance from the centre of exactly R must be a foreground character
- The circle must not have gaps. Specifically, there must be no connected path of horizontally or vertically adjacent background characters joining the centre to any corner of the square. Equivalently, a flood fill from the centre will not reach any of the corners
## Examples
These examples use the following characters to indicate the distance from the centre:
- `#` means the character is a distance of exactly R from the centre
- `.` means the distance is less than or equal to R-1 or greater than or equal to R+1
- `f` or `F` means the floor of the distance is R
- `c` or `C` means the ceiling of the distance is R
- upper case (`F` or `C`) means the distance rounded to the nearest integer is R
Using these characters, the rules are equivalent to:
- Every `#` must be included in the foreground
- Every `.` must be included in the background
- All other characters can be either foreground or background, provided there are no gaps between the foreground characters
This is intended to give the flexibility to allow various different circle drawing approaches to compete.
Examples of valid circles include:
~~- Every `#`, `f`, and `F` is foreground, everything else is background (every character with a floor of R is foreground)~~
~~- Every `#`, `c`, and `C` is foreground, everything else is background (every character with a ceiling of R is foreground)~~
~~- Every `#`, `F`, and `C` is foreground, everything else is background (every character that rounds to R is foreground)~~
The potential character placements for radius 1 to 10:
```text
R=1:
F#F
#.#
F#F
R=2:
fF#Ff
Fc.cF
#...#
Fc.cF
fF#Ff
R=3:
.fF#Ff.
fCc.cCf
Fc...cF
#.....#
Fc...cF
fCc.cCf
.fF#Ff.
R=4:
..FF#FF..
.FCc.cCF.
FC.....CF
Fc.....cF
#.......#
Fc.....cF
FC.....CF
.FCc.cCF.
..FF#FF..
R=5:
..fFF#FFf..
.f#cc.cc#f.
f#c.....c#f
Fc.......cF
Fc.......cF
#.........#
Fc.......cF
Fc.......cF
f#c.....c#f
.f#cc.cc#f.
..fFF#FFf..
R=6:
...fFF#FFf...
..FCcc.ccCF..
.FC.......CF.
fC.........Cf
Fc.........cF
Fc.........cF
#...........#
Fc.........cF
Fc.........cF
fC.........Cf
.FC.......CF.
..FCcc.ccCF..
...fFF#FFf...
R=7:
....fFF#FFf....
..fFCcc.ccCFf..
.fFc.......cFf.
.Fc.........cF.
fC...........Cf
Fc...........cF
Fc...........cF
#.............#
Fc...........cF
Fc...........cF
fC...........Cf
.Fc.........cF.
.fFc.......cFf.
..fFCcc.ccCFf..
....fFF#FFf....
R=8:
....ffFF#FFff....
...fFCcc.ccCFf...
..FCc.......cCF..
.fCc.........cCf.
fFc...........cFf
fC.............Cf
Fc.............cF
Fc.............cF
#...............#
Fc.............cF
Fc.............cF
fC.............Cf
fFc...........cFf
.fCc.........cCf.
..FCc.......cCF..
...fFCcc.ccCFf...
....ffFF#FFff....
R=9:
.....fFFF#FFFf.....
....FCCcc.ccCCF....
..fFCc.......cCFf..
..Fc...........cF..
.FC.............CF.
fCc.............cCf
FC...............CF
Fc...............cF
Fc...............cF
#.................#
Fc...............cF
Fc...............cF
FC...............CF
fCc.............cCf
.FC.............CF.
..Fc...........cF..
..fFCc.......cCFf..
....FCCcc.ccCCF....
.....fFFF#FFFf.....
R=10:
......fFFF#FFFf......
....fFCccc.cccCFf....
...f#c.........c#f...
..fCc...........cCf..
.f#c.............c#f.
.Fc...............cF.
fC.................Cf
Fc.................cF
Fc.................cF
Fc.................cF
#...................#
Fc.................cF
Fc.................cF
Fc.................cF
fC.................Cf
.Fc...............cF.
.f#c.............c#f.
..fCc...........cCf..
...f#c.........c#f...
....fFCccc.cccCFf....
......fFFF#FFFf......
```

Given a radius R, output a text representation of a circle.
## Input
- A positive integer R
- You do not need to handle values of R greater than 32
## Output
- A square of characters of side length 2R + 1
- You may choose any 2 distinct characters to represent the foreground (depicting the circle) and the background
- The centre of the circle is the centre of the square. That is, the location (R, R) if using zero indexed coordinates
- The foreground characters that make up the circle must satisfy the following:
- each foreground character must have a distance from the centre that has either a floor or a ceiling of R. That is, R-1 < distance < R+1
- each character that is at a distance from the centre of exactly R must be a foreground character
- The circle must not have gaps. Specifically, there must be no connected path of horizontally or vertically adjacent background characters joining the centre to any corner of the square. Equivalently, a flood fill from the centre will not reach any of the corners
## Examples
These examples use the following characters to indicate the distance from the centre:
- `#` means the character is a distance of exactly R from the centre
- `.` means the distance is less than or equal to R-1 or greater than or equal to R+1
- `f` or `F` means the floor of the distance is R
- `c` or `C` means the ceiling of the distance is R
- upper case (`F` or `C`) means the distance rounded to the nearest integer is R
Using these characters, the rules are equivalent to:
- Every `#` must be included in the foreground
- Every `.` must be included in the background
- All other characters can be either foreground or background, provided there are no gaps between the foreground characters
This is intended to give the flexibility to allow various different circle drawing approaches to compete.
Examples of valid circles include:
- Every `#`, `f`, and `F` is foreground (every character with a floor of R is foreground)
- Every `#`, `c`, and `C` is foreground (every character with a ceiling of R is foreground)
- Every `#`, `F`, and `C` is foreground (every character that rounds to R is foreground)
The potential character placements for radius 1 to 10:
```text
R=1:
F#F
#.#
F#F
R=2:
fF#Ff
Fc.cF
#...#
Fc.cF
fF#Ff
R=3:
.fF#Ff.
fCc.cCf
Fc...cF
#.....#
Fc...cF
fCc.cCf
.fF#Ff.
R=4:
..FF#FF..
.FCc.cCF.
FC.....CF
Fc.....cF
#.......#
Fc.....cF
FC.....CF
.FCc.cCF.
..FF#FF..
R=5:
..fFF#FFf..
.f#cc.cc#f.
f#c.....c#f
Fc.......cF
Fc.......cF
#.........#
Fc.......cF
Fc.......cF
f#c.....c#f
.f#cc.cc#f.
..fFF#FFf..
R=6:
...fFF#FFf...
..FCcc.ccCF..
.FC.......CF.
fC.........Cf
Fc.........cF
Fc.........cF
#...........#
Fc.........cF
Fc.........cF
fC.........Cf
.FC.......CF.
..FCcc.ccCF..
...fFF#FFf...
R=7:
....fFF#FFf....
..fFCcc.ccCFf..
.fFc.......cFf.
.Fc.........cF.
fC...........Cf
Fc...........cF
Fc...........cF
#.............#
Fc...........cF
Fc...........cF
fC...........Cf
.Fc.........cF.
.fFc.......cFf.
..fFCcc.ccCFf..
....fFF#FFf....
R=8:
....ffFF#FFff....
...fFCcc.ccCFf...
..FCc.......cCF..
.fCc.........cCf.
fFc...........cFf
fC.............Cf
Fc.............cF
Fc.............cF
#...............#
Fc.............cF
Fc.............cF
fC.............Cf
fFc...........cFf
.fCc.........cCf.
..FCc.......cCF..
...fFCcc.ccCFf...
....ffFF#FFff....
R=9:
.....fFFF#FFFf.....
....FCCcc.ccCCF....
..fFCc.......cCFf..
..Fc...........cF..
.FC.............CF.
fCc.............cCf
FC...............CF
Fc...............cF
Fc...............cF
#.................#
Fc...............cF
Fc...............cF
FC...............CF
fCc.............cCf
.FC.............CF.
..Fc...........cF..
..fFCc.......cCFf..
....FCCcc.ccCCF....
.....fFFF#FFFf.....
R=10:
......fFFF#FFFf......
....fFCccc.cccCFf....
...f#c.........c#f...
..fCc...........cCf..
.f#c.............c#f.
.Fc...............cF.
fC.................Cf
Fc.................cF
Fc.................cF
Fc.................cF
#...................#
Fc.................cF
Fc.................cF
Fc.................cF
fC.................Cf
.Fc...............cF.
.f#c.............c#f.
..fCc...........cCf..
...f#c.........c#f...
....fFCccc.cccCFf....
......fFFF#FFFf......
```

#3: Post edited by

trichoplax‭ · 2022-10-07T06:12:40Z (over 1 year ago)
Add examples and explain flexibility

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Given a radius R, output a text representation of a circle.
## Input
- A positive integer R
- You do not need to handle values of R greater than 32
## Output
- A square of characters of side length 2R + 1
~~- You may choose any 2 distinct characters to represent the circle and the background~~
~~- The centre of the circle is the centre of the square. That is, the location R, R if using zero indexed coordinates~~
- The characters that make up the circle must have a distance from the centre that has either a floor or a ceiling of R (you may choose only floor, or only ceiling, or both, or a mixture where some characters have a floor of R and some have a ceiling of R - you do not need to include all characters that have a floor or ceiling of R)
~~- The circle must not have gaps. Specifically, there must be no connected path of horizontally or vertically adjacent background characters joining the centre to any corner of the square.~~
## Examples
~~These examples use `#` as the circle character and `.` as the background character.~~
For input 5:
```text
~~TODO: Add list of valid circles for radius 5~~
~~TODO: Consider whether extending the permitted circle character distance to floor-1 to ceiling+1 would be better or worse~~
```

Given a radius R, output a text representation of a circle.
## Input
- A positive integer R
- You do not need to handle values of R greater than 32
## Output
- A square of characters of side length 2R + 1
- You may choose any 2 distinct characters to represent the foreground (depicting the circle) and the background
- The centre of the circle is the centre of the square. That is, the location (R, R) if using zero indexed coordinates
- The foreground characters that make up the circle must satisfy the following:
- each foreground character must have a distance from the centre that has either a floor or a ceiling of R. That is, R-1 < distance < R+1
- each character that is at a distance from the centre of exactly R must be a foreground character
- The circle must not have gaps. Specifically, there must be no connected path of horizontally or vertically adjacent background characters joining the centre to any corner of the square. Equivalently, a flood fill from the centre will not reach any of the corners
## Examples
These examples use the following characters to indicate the distance from the centre:
- `#` means the character is a distance of exactly R from the centre
- `.` means the distance is less than or equal to R-1 or greater than or equal to R+1
- `f` or `F` means the floor of the distance is R
- `c` or `C` means the ceiling of the distance is R
- upper case (`F` or `C`) means the distance rounded to the nearest integer is R
Using these characters, the rules are equivalent to:
- Every `#` must be included in the foreground
- Every `.` must be included in the background
- All other characters can be either foreground or background, provided there are no gaps between the foreground characters
This is intended to give the flexibility to allow various different circle drawing approaches to compete.
Examples of valid circles include:
- Every `#`, `f`, and `F` is foreground, everything else is background (every character with a floor of R is foreground)
- Every `#`, `c`, and `C` is foreground, everything else is background (every character with a ceiling of R is foreground)
- Every `#`, `F`, and `C` is foreground, everything else is background (every character that rounds to R is foreground)
The potential character placements for radius 1 to 10:
```text
R=1:
F#F
#.#
F#F
R=2:
fF#Ff
Fc.cF
#...#
Fc.cF
fF#Ff
R=3:
.fF#Ff.
fCc.cCf
Fc...cF
#.....#
Fc...cF
fCc.cCf
.fF#Ff.
R=4:
..FF#FF..
.FCc.cCF.
FC.....CF
Fc.....cF
#.......#
Fc.....cF
FC.....CF
.FCc.cCF.
..FF#FF..
R=5:
..fFF#FFf..
.f#cc.cc#f.
f#c.....c#f
Fc.......cF
Fc.......cF
#.........#
Fc.......cF
Fc.......cF
f#c.....c#f
.f#cc.cc#f.
..fFF#FFf..
R=6:
...fFF#FFf...
..FCcc.ccCF..
.FC.......CF.
fC.........Cf
Fc.........cF
Fc.........cF
#...........#
Fc.........cF
Fc.........cF
fC.........Cf
.FC.......CF.
..FCcc.ccCF..
...fFF#FFf...
R=7:
....fFF#FFf....
..fFCcc.ccCFf..
.fFc.......cFf.
.Fc.........cF.
fC...........Cf
Fc...........cF
Fc...........cF
#.............#
Fc...........cF
Fc...........cF
fC...........Cf
.Fc.........cF.
.fFc.......cFf.
..fFCcc.ccCFf..
....fFF#FFf....
R=8:
....ffFF#FFff....
...fFCcc.ccCFf...
..FCc.......cCF..
.fCc.........cCf.
fFc...........cFf
fC.............Cf
Fc.............cF
Fc.............cF
#...............#
Fc.............cF
Fc.............cF
fC.............Cf
fFc...........cFf
.fCc.........cCf.
..FCc.......cCF..
...fFCcc.ccCFf...
....ffFF#FFff....
R=9:
.....fFFF#FFFf.....
....FCCcc.ccCCF....
..fFCc.......cCFf..
..Fc...........cF..
.FC.............CF.
fCc.............cCf
FC...............CF
Fc...............cF
Fc...............cF
#.................#
Fc...............cF
Fc...............cF
FC...............CF
fCc.............cCf
.FC.............CF.
..Fc...........cF..
..fFCc.......cCFf..
....FCCcc.ccCCF....
.....fFFF#FFFf.....
R=10:
......fFFF#FFFf......
....fFCccc.cccCFf....
...f#c.........c#f...
..fCc...........cCf..
.f#c.............c#f.
.Fc...............cF.
fC.................Cf
Fc.................cF
Fc.................cF
Fc.................cF
#...................#
Fc.................cF
Fc.................cF
Fc.................cF
fC.................Cf
.Fc...............cF.
.f#c.............c#f.
..fCc...........cCf..
...f#c.........c#f...
....fFCccc.cccCFf....
......fFFF#FFFf......
```

#2: Post edited by

trichoplax‭ · 2022-10-05T00:16:27Z (over 1 year ago)
Add a thought until I have time to look into it

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Given a radius R, output a text representation of a circle.
## Input
- A positive integer R
- You do not need to handle values of R greater than 32
## Output
- A square of characters of side length 2R + 1
- You may choose any 2 distinct characters to represent the circle and the background
- The centre of the circle is the centre of the square. That is, the location R, R if using zero indexed coordinates
- The characters that make up the circle must have a distance from the centre that has either a floor or a ceiling of R (you may choose only floor, or only ceiling, or both, or a mixture where some characters have a floor of R and some have a ceiling of R - you do not need to include all characters that have a floor or ceiling of R)
- The circle must not have gaps. Specifically, there must be no connected path of horizontally or vertically adjacent background characters joining the centre to any corner of the square.
## Examples
These examples use `#` as the circle character and `.` as the background character.
For input 5:
```text
TODO: Add list of valid circles for radius 5
```

Given a radius R, output a text representation of a circle.
## Input
- A positive integer R
- You do not need to handle values of R greater than 32
## Output
- A square of characters of side length 2R + 1
- You may choose any 2 distinct characters to represent the circle and the background
- The centre of the circle is the centre of the square. That is, the location R, R if using zero indexed coordinates
- The characters that make up the circle must have a distance from the centre that has either a floor or a ceiling of R (you may choose only floor, or only ceiling, or both, or a mixture where some characters have a floor of R and some have a ceiling of R - you do not need to include all characters that have a floor or ceiling of R)
- The circle must not have gaps. Specifically, there must be no connected path of horizontally or vertically adjacent background characters joining the centre to any corner of the square.
## Examples
These examples use `#` as the circle character and `.` as the background character.
For input 5:
```text
TODO: Add list of valid circles for radius 5
TODO: Consider whether extending the permitted circle character distance to floor-1 to ceiling+1 would be better or worse
```

#1: Initial revision by

trichoplax‭ · 2022-10-04T17:14:24Z (over 1 year ago)

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Circle of text characters

Given a radius R, output a text representation of a circle.

## Input
- A positive integer R
- You do not need to handle values of R greater than 32

## Output
- A square of characters of side length 2R + 1
- You may choose any 2 distinct characters to represent the circle and the background
- The centre of the circle is the centre of the square. That is, the location R, R if using zero indexed coordinates
- The characters that make up the circle must have a distance from the centre that has either a floor or a ceiling of R (you may choose only floor, or only ceiling, or both, or a mixture where some characters have a floor of R and some have a ceiling of R - you do not need to include all characters that have a floor or ceiling of R)
- The circle must not have gaps. Specifically, there must be no connected path of horizontally or vertically adjacent background characters joining the centre to any corner of the square.

## Examples

These examples use `#` as the circle character and `.` as the background character.

For input 5:

```text
TODO: Add list of valid circles for radius 5
```

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