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Challenges Mark my beacons

Given a grid of numbers, mark the concentric areas around nonzero elements (beacons) decreasing from the value of the beacon till 1. For example, here are some grids with a single beacon: Size 1:...

0 answers  ·  posted 2y ago by Razetime‭  ·  last activity 2y ago by Moshi‭

Question code-golf matrix
#4: Post edited by user avatar Razetime‭ · 2022-09-20T10:06:13Z (over 2 years ago)
add to overlapping
  • Given a grid of numbers, mark the concentric areas around nonzero elements (beacons) decreasing from the value of the beacon till 1.
  • For example, here are some grids with a single beacon:
  • Size 1:
  • ```
  • 0 0 0 0 0 0
  • 0 1 0 -> 0 1 0
  • 0 0 0 0 0 0
  • ```
  • Size 2:
  • ```
  • 0 0 0 1 1 1
  • 0 2 0 -> 1 2 1
  • 0 0 0 1 1 1
  • ```
  • Size 3:
  • ```
  • 0 0 0 0 0 1 1 1 1 1
  • 0 0 0 0 0 1 2 2 2 1
  • 0 0 3 0 0 -> 1 2 3 2 1
  • 0 0 0 0 0 1 2 2 2 1
  • 0 0 0 0 0 1 1 1 1 1
  • ```
  • ## I/O
  • Your input is in the form of a 2D grid of integers. You can take the dimensions if needed.
  • - Your output can have multiple beacons of various sizes.
  • - If beacons overlap, you can overwrite one over the other. You can choose which one takes priority.
  • - beacons can be on the edges of the grid. they will not wrap around.
  • ## Tests
  • Test 1: [JSON Array](https://dzaima.github.io/paste#0i@aKNtDBgLE62IRNsAsb4BE2wqcaImlI0BC4GqKsxCbMFQsA)
  • ```
  • Input:
  • 0 0 0 0 0 0 0 0 0 0
  • 0 0 0 0 0 0 0 0 0 4
  • 0 0 0 0 0 0 0 0 0 0
  • 0 0 0 0 0 0 0 0 0 0
  • 2 0 0 0 0 0 0 0 0 0
  • 0 0 0 2 0 0 1 0 0 0
  • 0 0 0 0 0 0 0 0 0 0
  • 0 1 0 0 0 0 0 0 0 0
  • 0 0 0 0 0 0 0 0 0 0
  • 0 0 0 0 0 0 0 0 0 0
  • Output:
  • 0 0 0 0 0 0 1 2 3 3
  • 0 0 0 0 0 0 1 2 3 4
  • 0 0 0 0 0 0 1 2 3 3
  • 1 1 0 0 0 0 1 2 2 2
  • 2 1 1 1 1 0 1 1 1 1
  • 1 1 1 2 1 0 1 0 0 0
  • 0 0 1 1 1 0 0 0 0 0
  • 0 1 0 0 0 0 0 0 0 0
  • 0 0 0 0 0 0 0 0 0 0
  • 0 0 0 0 0 0 0 0 0 0
  • ```
  • Test 2: [JSON Array](https://dzaima.github.io/paste#0i@aKNtQxwA1jdbiiDchRYIKuwITqVtBAgTH5JnDFAgA)
  • ```
  • Input:
  • 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  • 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  • 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0
  • 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0
  • 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  • 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  • 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  • 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  • 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0
  • 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  • Output:
  • 1 1 1 1 1 1 0 1 2 2 2 2 2 1 0
  • 2 2 2 2 2 1 0 1 2 3 3 3 2 1 0
  • 2 3 3 3 2 1 0 1 2 3 4 3 2 1 0
  • 2 3 4 3 2 1 0 1 2 3 3 3 2 1 0
  • 2 3 3 3 2 1 0 1 2 2 2 2 2 1 0
  • 2 2 2 2 2 1 0 1 1 1 1 1 1 1 0
  • 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0
  • 1 2 2 2 1 0 0 0 0 0 0 0 0 0 0
  • 1 2 3 2 1 0 0 0 0 0 0 0 0 0 0
  • 1 2 2 2 1 0 0 0 0 0 0 0 0 0 0
  • ```
  • **Test 3:** [JSON Array](https://dzaima.github.io/paste#0i@aKNtBBgbE6OIWMiVKFpJKAKjxCXLEA#JS)
  • ```
  • Input:
  • 0 0 0 0 0 0 0 0
  • 0 0 0 0 0 0 0 0
  • 0 0 3 0 0 0 0 0
  • 0 0 0 0 0 0 0 0
  • 0 0 0 0 3 0 0 0
  • 0 0 0 0 0 0 0 0
  • 0 0 0 0 0 0 0 0
  • 0 0 0 0 0 0 0 0
  • All possible outputs:
  • 1 1 1 1 1 0 0 0
  • 1 2 2 2 1 0 0 0
  • 1 2 1 1 1 1 1 0
  • 1 2 1 2 2 2 1 0
  • 1 1 1 2 3 2 1 0
  • 0 0 1 2 2 2 1 0
  • 0 0 1 1 1 1 1 0
  • 0 0 0 0 0 0 0 0
  • ---
  • 1 1 1 1 1 0 0 0
  • 1 2 2 2 1 0 0 0
  • 1 2 3 2 1 1 1 0
  • 1 2 2 2 1 2 1 0
  • 1 1 1 1 1 2 1 0
  • 0 0 1 2 2 2 1 0
  • 0 0 1 1 1 1 1 0
  • 0 0 0 0 0 0 0 0
  • Given a grid of numbers, mark the concentric areas around nonzero elements (beacons) decreasing from the value of the beacon till 1.
  • For example, here are some grids with a single beacon:
  • Size 1:
  • ```
  • 0 0 0 0 0 0
  • 0 1 0 -> 0 1 0
  • 0 0 0 0 0 0
  • ```
  • Size 2:
  • ```
  • 0 0 0 1 1 1
  • 0 2 0 -> 1 2 1
  • 0 0 0 1 1 1
  • ```
  • Size 3:
  • ```
  • 0 0 0 0 0 1 1 1 1 1
  • 0 0 0 0 0 1 2 2 2 1
  • 0 0 3 0 0 -> 1 2 3 2 1
  • 0 0 0 0 0 1 2 2 2 1
  • 0 0 0 0 0 1 1 1 1 1
  • ```
  • ## I/O
  • Your input is in the form of a 2D grid of integers. You can take the dimensions if needed.
  • - Your output can have multiple beacons of various sizes.
  • - If beacons overlap, you can overwrite one full beacon over the other. You can choose which beacon takes priority.
  • - beacons can be on the edges of the grid. they will not wrap around.
  • ## Tests
  • Test 1: [JSON Array](https://dzaima.github.io/paste#0i@aKNtDBgLE62IRNsAsb4BE2wqcaImlI0BC4GqKsxCbMFQsA)
  • ```
  • Input:
  • 0 0 0 0 0 0 0 0 0 0
  • 0 0 0 0 0 0 0 0 0 4
  • 0 0 0 0 0 0 0 0 0 0
  • 0 0 0 0 0 0 0 0 0 0
  • 2 0 0 0 0 0 0 0 0 0
  • 0 0 0 2 0 0 1 0 0 0
  • 0 0 0 0 0 0 0 0 0 0
  • 0 1 0 0 0 0 0 0 0 0
  • 0 0 0 0 0 0 0 0 0 0
  • 0 0 0 0 0 0 0 0 0 0
  • Output:
  • 0 0 0 0 0 0 1 2 3 3
  • 0 0 0 0 0 0 1 2 3 4
  • 0 0 0 0 0 0 1 2 3 3
  • 1 1 0 0 0 0 1 2 2 2
  • 2 1 1 1 1 0 1 1 1 1
  • 1 1 1 2 1 0 1 0 0 0
  • 0 0 1 1 1 0 0 0 0 0
  • 0 1 0 0 0 0 0 0 0 0
  • 0 0 0 0 0 0 0 0 0 0
  • 0 0 0 0 0 0 0 0 0 0
  • ```
  • Test 2: [JSON Array](https://dzaima.github.io/paste#0i@aKNtQxwA1jdbiiDchRYIKuwITqVtBAgTH5JnDFAgA)
  • ```
  • Input:
  • 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  • 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  • 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0
  • 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0
  • 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  • 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  • 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  • 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  • 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0
  • 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  • Output:
  • 1 1 1 1 1 1 0 1 2 2 2 2 2 1 0
  • 2 2 2 2 2 1 0 1 2 3 3 3 2 1 0
  • 2 3 3 3 2 1 0 1 2 3 4 3 2 1 0
  • 2 3 4 3 2 1 0 1 2 3 3 3 2 1 0
  • 2 3 3 3 2 1 0 1 2 2 2 2 2 1 0
  • 2 2 2 2 2 1 0 1 1 1 1 1 1 1 0
  • 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0
  • 1 2 2 2 1 0 0 0 0 0 0 0 0 0 0
  • 1 2 3 2 1 0 0 0 0 0 0 0 0 0 0
  • 1 2 2 2 1 0 0 0 0 0 0 0 0 0 0
  • ```
  • **Test 3:** [JSON Array](https://dzaima.github.io/paste#0i@aKNtBBgbE6OIWMiVKFpJKAKjxCXLEA#JS)
  • ```
  • Input:
  • 0 0 0 0 0 0 0 0
  • 0 0 0 0 0 0 0 0
  • 0 0 3 0 0 0 0 0
  • 0 0 0 0 0 0 0 0
  • 0 0 0 0 3 0 0 0
  • 0 0 0 0 0 0 0 0
  • 0 0 0 0 0 0 0 0
  • 0 0 0 0 0 0 0 0
  • All possible outputs:
  • 1 1 1 1 1 0 0 0
  • 1 2 2 2 1 0 0 0
  • 1 2 1 1 1 1 1 0
  • 1 2 1 2 2 2 1 0
  • 1 1 1 2 3 2 1 0
  • 0 0 1 2 2 2 1 0
  • 0 0 1 1 1 1 1 0
  • 0 0 0 0 0 0 0 0
  • ---
  • 1 1 1 1 1 0 0 0
  • 1 2 2 2 1 0 0 0
  • 1 2 3 2 1 1 1 0
  • 1 2 2 2 1 2 1 0
  • 1 1 1 1 1 2 1 0
  • 0 0 1 2 2 2 1 0
  • 0 0 1 1 1 1 1 0
  • 0 0 0 0 0 0 0 0
#3: Post edited by user avatar Razetime‭ · 2022-09-20T10:04:58Z (over 2 years ago)
  • Given a grid of numbers, mark the concentric areas around nonzero elements (beacons) decreasing from the value of the beacon till 1.
  • For example, here are some grids with a single beacon:
  • Size 1:
  • ```
  • 0 0 0 0 0 0
  • 0 1 0 -> 0 1 0
  • 0 0 0 0 0 0
  • ```
  • Size 2:
  • ```
  • 0 0 0 1 1 1
  • 0 2 0 -> 1 2 1
  • 0 0 0 1 1 1
  • ```
  • Size 3:
  • ```
  • 0 0 0 0 0 1 1 1 1 1
  • 0 0 0 0 0 1 2 2 2 1
  • 0 0 3 0 0 -> 1 2 3 2 1
  • 0 0 0 0 0 1 2 2 2 1
  • 0 0 0 0 0 1 1 1 1 1
  • ```
  • ## I/O
  • Your input is in the form of a 2D grid of integers. You can take the dimensions if needed.
  • - Your output can have multiple beacons of various sizes.
  • - If beacons overlap, you can overwrite one over the other. You can choose which one takes priority.
  • - beacons can be on the edges of the grid. they will not wrap around.
  • ## Tests
  • Test 1: [JSON Array](https://dzaima.github.io/paste#0i@aKNtDBgLE62IRNsAsb4BE2wqcaImlI0BC4GqKsxCbMFQsA)
  • ```
  • Input:
  • 0 0 0 0 0 0 0 0 0 0
  • 0 0 0 0 0 0 0 0 0 4
  • 0 0 0 0 0 0 0 0 0 0
  • 0 0 0 0 0 0 0 0 0 0
  • 2 0 0 0 0 0 0 0 0 0
  • 0 0 0 2 0 0 1 0 0 0
  • 0 0 0 0 0 0 0 0 0 0
  • 0 1 0 0 0 0 0 0 0 0
  • 0 0 0 0 0 0 0 0 0 0
  • 0 0 0 0 0 0 0 0 0 0
  • Output:
  • 0 0 0 0 0 0 1 2 3 3
  • 0 0 0 0 0 0 1 2 3 4
  • 0 0 0 0 0 0 1 2 3 3
  • 1 1 0 0 0 0 1 2 2 2
  • 2 1 1 1 1 0 1 1 1 1
  • 1 1 1 2 1 0 1 0 0 0
  • 0 0 1 1 1 0 0 0 0 0
  • 0 1 0 0 0 0 0 0 0 0
  • 0 0 0 0 0 0 0 0 0 0
  • 0 0 0 0 0 0 0 0 0 0
  • ```
  • Test 2: [JSON Array](https://dzaima.github.io/paste#0i@aKNtQxwA1jdbiiDchRYIKuwITqVtBAgTH5JnDFAgA)
  • ```
  • Input:
  • 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  • 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  • 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0
  • 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0
  • 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  • 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  • 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  • 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  • 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0
  • 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  • Output:
  • 1 1 1 1 1 1 0 1 2 2 2 2 2 1 0
  • 2 2 2 2 2 1 0 1 2 3 3 3 2 1 0
  • 2 3 3 3 2 1 0 1 2 3 4 3 2 1 0
  • 2 3 4 3 2 1 0 1 2 3 3 3 2 1 0
  • 2 3 3 3 2 1 0 1 2 2 2 2 2 1 0
  • 2 2 2 2 2 1 0 1 1 1 1 1 1 1 0
  • 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0
  • 1 2 2 2 1 0 0 0 0 0 0 0 0 0 0
  • 1 2 3 2 1 0 0 0 0 0 0 0 0 0 0
  • 1 2 2 2 1 0 0 0 0 0 0 0 0 0 0
  • ```
  • **Test 3:** [JSON Array](https://dzaima.github.io/paste#0i@aKNtBBgbE6OIWMiVKFpJKAKjxCXLEA#JS)
  • ```
  • Input:
  • 0 0 0 0 0 0 0 0
  • 0 0 0 0 0 0 0 0
  • 0 0 3 0 0 0 0 0
  • 0 0 0 0 0 0 0 0
  • 0 0 0 0 3 0 0 0
  • 0 0 0 0 0 0 0 0
  • 0 0 0 0 0 0 0 0
  • 0 0 0 0 0 0 0 0
  • One possible output:
  • 1 1 1 1 1 0 0 0
  • 1 2 2 2 1 0 0 0
  • 1 2 1 1 1 1 1 0
  • 1 2 1 2 2 2 1 0
  • 1 1 1 2 3 2 1 0
  • 0 0 1 2 2 2 1 0
  • 0 0 1 1 1 1 1 0
  • 0 0 0 0 0 0 0 0
  • Given a grid of numbers, mark the concentric areas around nonzero elements (beacons) decreasing from the value of the beacon till 1.
  • For example, here are some grids with a single beacon:
  • Size 1:
  • ```
  • 0 0 0 0 0 0
  • 0 1 0 -> 0 1 0
  • 0 0 0 0 0 0
  • ```
  • Size 2:
  • ```
  • 0 0 0 1 1 1
  • 0 2 0 -> 1 2 1
  • 0 0 0 1 1 1
  • ```
  • Size 3:
  • ```
  • 0 0 0 0 0 1 1 1 1 1
  • 0 0 0 0 0 1 2 2 2 1
  • 0 0 3 0 0 -> 1 2 3 2 1
  • 0 0 0 0 0 1 2 2 2 1
  • 0 0 0 0 0 1 1 1 1 1
  • ```
  • ## I/O
  • Your input is in the form of a 2D grid of integers. You can take the dimensions if needed.
  • - Your output can have multiple beacons of various sizes.
  • - If beacons overlap, you can overwrite one over the other. You can choose which one takes priority.
  • - beacons can be on the edges of the grid. they will not wrap around.
  • ## Tests
  • Test 1: [JSON Array](https://dzaima.github.io/paste#0i@aKNtDBgLE62IRNsAsb4BE2wqcaImlI0BC4GqKsxCbMFQsA)
  • ```
  • Input:
  • 0 0 0 0 0 0 0 0 0 0
  • 0 0 0 0 0 0 0 0 0 4
  • 0 0 0 0 0 0 0 0 0 0
  • 0 0 0 0 0 0 0 0 0 0
  • 2 0 0 0 0 0 0 0 0 0
  • 0 0 0 2 0 0 1 0 0 0
  • 0 0 0 0 0 0 0 0 0 0
  • 0 1 0 0 0 0 0 0 0 0
  • 0 0 0 0 0 0 0 0 0 0
  • 0 0 0 0 0 0 0 0 0 0
  • Output:
  • 0 0 0 0 0 0 1 2 3 3
  • 0 0 0 0 0 0 1 2 3 4
  • 0 0 0 0 0 0 1 2 3 3
  • 1 1 0 0 0 0 1 2 2 2
  • 2 1 1 1 1 0 1 1 1 1
  • 1 1 1 2 1 0 1 0 0 0
  • 0 0 1 1 1 0 0 0 0 0
  • 0 1 0 0 0 0 0 0 0 0
  • 0 0 0 0 0 0 0 0 0 0
  • 0 0 0 0 0 0 0 0 0 0
  • ```
  • Test 2: [JSON Array](https://dzaima.github.io/paste#0i@aKNtQxwA1jdbiiDchRYIKuwITqVtBAgTH5JnDFAgA)
  • ```
  • Input:
  • 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  • 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  • 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0
  • 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0
  • 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  • 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  • 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  • 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  • 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0
  • 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  • Output:
  • 1 1 1 1 1 1 0 1 2 2 2 2 2 1 0
  • 2 2 2 2 2 1 0 1 2 3 3 3 2 1 0
  • 2 3 3 3 2 1 0 1 2 3 4 3 2 1 0
  • 2 3 4 3 2 1 0 1 2 3 3 3 2 1 0
  • 2 3 3 3 2 1 0 1 2 2 2 2 2 1 0
  • 2 2 2 2 2 1 0 1 1 1 1 1 1 1 0
  • 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0
  • 1 2 2 2 1 0 0 0 0 0 0 0 0 0 0
  • 1 2 3 2 1 0 0 0 0 0 0 0 0 0 0
  • 1 2 2 2 1 0 0 0 0 0 0 0 0 0 0
  • ```
  • **Test 3:** [JSON Array](https://dzaima.github.io/paste#0i@aKNtBBgbE6OIWMiVKFpJKAKjxCXLEA#JS)
  • ```
  • Input:
  • 0 0 0 0 0 0 0 0
  • 0 0 0 0 0 0 0 0
  • 0 0 3 0 0 0 0 0
  • 0 0 0 0 0 0 0 0
  • 0 0 0 0 3 0 0 0
  • 0 0 0 0 0 0 0 0
  • 0 0 0 0 0 0 0 0
  • 0 0 0 0 0 0 0 0
  • All possible outputs:
  • 1 1 1 1 1 0 0 0
  • 1 2 2 2 1 0 0 0
  • 1 2 1 1 1 1 1 0
  • 1 2 1 2 2 2 1 0
  • 1 1 1 2 3 2 1 0
  • 0 0 1 2 2 2 1 0
  • 0 0 1 1 1 1 1 0
  • 0 0 0 0 0 0 0 0
  • ---
  • 1 1 1 1 1 0 0 0
  • 1 2 2 2 1 0 0 0
  • 1 2 3 2 1 1 1 0
  • 1 2 2 2 1 2 1 0
  • 1 1 1 1 1 2 1 0
  • 0 0 1 2 2 2 1 0
  • 0 0 1 1 1 1 1 0
  • 0 0 0 0 0 0 0 0
#2: Post edited by user avatar Razetime‭ · 2022-09-13T12:30:59Z (over 2 years ago)
  • Given a grid of numbers, mark the concentric areas around nonzero elements (beacons) decreasing from the value of the beacon till 1.
  • For example, here are some grids with a single beacon:
  • Size 1:
  • ```
  • 0 0 0 0 0 0
  • 0 1 0 -> 0 1 0
  • 0 0 0 0 0 0
  • ```
  • Size 2:
  • ```
  • 0 0 0 1 1 1
  • 0 2 0 -> 1 2 1
  • 0 0 0 1 1 1
  • ```
  • Size 3:
  • ```
  • 0 0 0 0 0 1 1 1 1 1
  • 0 0 0 0 0 1 2 2 2 1
  • 0 0 3 0 0 -> 1 2 3 2 1
  • 0 0 0 0 0 1 2 2 2 1
  • 0 0 0 0 0 1 1 1 1 1
  • ```
  • ## I/O
  • Your input is in the form of a 2D grid of integers. You can take the dimensions if needed.
  • - Your output can have multiple beacons of various sizes.
  • - If beacons overlap, you can overwrite one over the other. You can choose which one takes priority.
  • - beacons can be on the edges of the grid. they will not wrap around.
  • ## Tests
  • Test 1: [JSON Array](https://dzaima.github.io/paste#0i@aKNtDBgLE62IRNsAsb4BE2wqcaImlI0BC4GqKsxCbMFQsA)
  • ```
  • Input:
  • 0 0 0 0 0 0 0 0 0 0
  • 0 0 0 0 0 0 0 0 0 4
  • 0 0 0 0 0 0 0 0 0 0
  • 0 0 0 0 0 0 0 0 0 0
  • 2 0 0 0 0 0 0 0 0 0
  • 0 0 0 2 0 0 1 0 0 0
  • 0 0 0 0 0 0 0 0 0 0
  • 0 1 0 0 0 0 0 0 0 0
  • 0 0 0 0 0 0 0 0 0 0
  • 0 0 0 0 0 0 0 0 0 0
  • Output:
  • 0 0 0 0 0 0 1 2 3 3
  • 0 0 0 0 0 0 1 2 3 4
  • 0 0 0 0 0 0 1 2 3 3
  • 1 1 0 0 0 0 1 2 2 2
  • 2 1 1 1 1 0 1 1 1 1
  • 1 1 1 2 1 0 1 0 0 0
  • 0 0 1 1 1 0 0 0 0 0
  • 0 1 0 0 0 0 0 0 0 0
  • 0 0 0 0 0 0 0 0 0 0
  • 0 0 0 0 0 0 0 0 0 0
  • ```
  • Test 2: [JSON Array](https://dzaima.github.io/paste#0i@aKNtQxwA1jdbiiDchRYIKuwITqVtBAgTH5JnDFAgA)
  • ```
  • Input:
  • 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  • 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  • 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0
  • 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0
  • 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  • 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  • 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  • 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  • 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0
  • 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  • Output:
  • 1 1 1 1 1 1 0 1 2 2 2 2 2 1 0
  • 2 2 2 2 2 1 0 1 2 3 3 3 2 1 0
  • 2 3 3 3 2 1 0 1 2 3 4 3 2 1 0
  • 2 3 4 3 2 1 0 1 2 3 3 3 2 1 0
  • 2 3 3 3 2 1 0 1 2 2 2 2 2 1 0
  • 2 2 2 2 2 1 0 1 1 1 1 1 1 1 0
  • 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0
  • 1 2 2 2 1 0 0 0 0 0 0 0 0 0 0
  • 1 2 3 2 1 0 0 0 0 0 0 0 0 0 0
  • 1 2 2 2 1 0 0 0 0 0 0 0 0 0 0
  • ```
  • Given a grid of numbers, mark the concentric areas around nonzero elements (beacons) decreasing from the value of the beacon till 1.
  • For example, here are some grids with a single beacon:
  • Size 1:
  • ```
  • 0 0 0 0 0 0
  • 0 1 0 -> 0 1 0
  • 0 0 0 0 0 0
  • ```
  • Size 2:
  • ```
  • 0 0 0 1 1 1
  • 0 2 0 -> 1 2 1
  • 0 0 0 1 1 1
  • ```
  • Size 3:
  • ```
  • 0 0 0 0 0 1 1 1 1 1
  • 0 0 0 0 0 1 2 2 2 1
  • 0 0 3 0 0 -> 1 2 3 2 1
  • 0 0 0 0 0 1 2 2 2 1
  • 0 0 0 0 0 1 1 1 1 1
  • ```
  • ## I/O
  • Your input is in the form of a 2D grid of integers. You can take the dimensions if needed.
  • - Your output can have multiple beacons of various sizes.
  • - If beacons overlap, you can overwrite one over the other. You can choose which one takes priority.
  • - beacons can be on the edges of the grid. they will not wrap around.
  • ## Tests
  • Test 1: [JSON Array](https://dzaima.github.io/paste#0i@aKNtDBgLE62IRNsAsb4BE2wqcaImlI0BC4GqKsxCbMFQsA)
  • ```
  • Input:
  • 0 0 0 0 0 0 0 0 0 0
  • 0 0 0 0 0 0 0 0 0 4
  • 0 0 0 0 0 0 0 0 0 0
  • 0 0 0 0 0 0 0 0 0 0
  • 2 0 0 0 0 0 0 0 0 0
  • 0 0 0 2 0 0 1 0 0 0
  • 0 0 0 0 0 0 0 0 0 0
  • 0 1 0 0 0 0 0 0 0 0
  • 0 0 0 0 0 0 0 0 0 0
  • 0 0 0 0 0 0 0 0 0 0
  • Output:
  • 0 0 0 0 0 0 1 2 3 3
  • 0 0 0 0 0 0 1 2 3 4
  • 0 0 0 0 0 0 1 2 3 3
  • 1 1 0 0 0 0 1 2 2 2
  • 2 1 1 1 1 0 1 1 1 1
  • 1 1 1 2 1 0 1 0 0 0
  • 0 0 1 1 1 0 0 0 0 0
  • 0 1 0 0 0 0 0 0 0 0
  • 0 0 0 0 0 0 0 0 0 0
  • 0 0 0 0 0 0 0 0 0 0
  • ```
  • Test 2: [JSON Array](https://dzaima.github.io/paste#0i@aKNtQxwA1jdbiiDchRYIKuwITqVtBAgTH5JnDFAgA)
  • ```
  • Input:
  • 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  • 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  • 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0
  • 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0
  • 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  • 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  • 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  • 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  • 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0
  • 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  • Output:
  • 1 1 1 1 1 1 0 1 2 2 2 2 2 1 0
  • 2 2 2 2 2 1 0 1 2 3 3 3 2 1 0
  • 2 3 3 3 2 1 0 1 2 3 4 3 2 1 0
  • 2 3 4 3 2 1 0 1 2 3 3 3 2 1 0
  • 2 3 3 3 2 1 0 1 2 2 2 2 2 1 0
  • 2 2 2 2 2 1 0 1 1 1 1 1 1 1 0
  • 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0
  • 1 2 2 2 1 0 0 0 0 0 0 0 0 0 0
  • 1 2 3 2 1 0 0 0 0 0 0 0 0 0 0
  • 1 2 2 2 1 0 0 0 0 0 0 0 0 0 0
  • ```
  • **Test 3:** [JSON Array](https://dzaima.github.io/paste#0i@aKNtBBgbE6OIWMiVKFpJKAKjxCXLEA#JS)
  • ```
  • Input:
  • 0 0 0 0 0 0 0 0
  • 0 0 0 0 0 0 0 0
  • 0 0 3 0 0 0 0 0
  • 0 0 0 0 0 0 0 0
  • 0 0 0 0 3 0 0 0
  • 0 0 0 0 0 0 0 0
  • 0 0 0 0 0 0 0 0
  • 0 0 0 0 0 0 0 0
  • One possible output:
  • 1 1 1 1 1 0 0 0
  • 1 2 2 2 1 0 0 0
  • 1 2 1 1 1 1 1 0
  • 1 2 1 2 2 2 1 0
  • 1 1 1 2 3 2 1 0
  • 0 0 1 2 2 2 1 0
  • 0 0 1 1 1 1 1 0
  • 0 0 0 0 0 0 0 0
#1: Initial revision by user avatar Razetime‭ · 2022-09-12T13:40:50Z (over 2 years ago) 
Mark my beacons
Given a grid of numbers, mark the concentric areas around nonzero elements (beacons) decreasing from the value of the beacon till 1.

For example, here are some grids with a single beacon:

Size 1:
```
0 0 0    0 0 0
0 1 0 -> 0 1 0
0 0 0    0 0 0
```
Size 2:
```
0 0 0    1 1 1
0 2 0 -> 1 2 1
0 0 0    1 1 1
```

Size 3:
```
0 0 0 0 0    1 1 1 1 1
0 0 0 0 0    1 2 2 2 1
0 0 3 0 0 -> 1 2 3 2 1
0 0 0 0 0    1 2 2 2 1
0 0 0 0 0    1 1 1 1 1
```

## I/O

Your input is in the form of a 2D grid of integers. You can take the dimensions if needed.

- Your output can have multiple beacons of various sizes.
- If beacons overlap, you can overwrite one over the other. You can choose which one takes priority.
- beacons can be on the edges of the grid. they will not wrap around.

## Tests

Test 1: [JSON Array](https://dzaima.github.io/paste#0i@aKNtDBgLE62IRNsAsb4BE2wqcaImlI0BC4GqKsxCbMFQsA)
```
Input:
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 4
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
2 0 0 0 0 0 0 0 0 0
0 0 0 2 0 0 1 0 0 0
0 0 0 0 0 0 0 0 0 0
0 1 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
Output:
0 0 0 0 0 0 1 2 3 3
0 0 0 0 0 0 1 2 3 4
0 0 0 0 0 0 1 2 3 3
1 1 0 0 0 0 1 2 2 2
2 1 1 1 1 0 1 1 1 1
1 1 1 2 1 0 1 0 0 0
0 0 1 1 1 0 0 0 0 0
0 1 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
```

Test 2: [JSON Array](https://dzaima.github.io/paste#0i@aKNtQxwA1jdbiiDchRYIKuwITqVtBAgTH5JnDFAgA)
```
Input:
1 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 4 0 0 0 0
0 0 4 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 3 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
Output:
1 1 1 1 1 1 0 1 2 2 2 2 2 1 0
2 2 2 2 2 1 0 1 2 3 3 3 2 1 0
2 3 3 3 2 1 0 1 2 3 4 3 2 1 0
2 3 4 3 2 1 0 1 2 3 3 3 2 1 0
2 3 3 3 2 1 0 1 2 2 2 2 2 1 0
2 2 2 2 2 1 0 1 1 1 1 1 1 1 0
1 1 1 1 1 1 0 0 0 0 0 0 0 0 0
1 2 2 2 1 0 0 0 0 0 0 0 0 0 0
1 2 3 2 1 0 0 0 0 0 0 0 0 0 0
1 2 2 2 1 0 0 0 0 0 0 0 0 0 0
```
code-golf matrix