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Challenges

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Challenges The holeyest base

Vyxal, 19 18 bytes 16Ḣλ»≤ṪḢ»3τ?nτİ∑;∴ Try it Online! The link goes to a program which has every test case. -1 thanks to Steffan Explained (old) 16Ḣλ?$τ»≤ṪḢ»3τ$İ∑;O 16Ḣ # Th...

posted 1y ago by lyxal‭  ·  edited 1y ago by lyxal‭

Answer
#2: Post edited by user avatar lyxal‭ · 2022-09-30T23:45:22Z (over 1 year ago)
  • # [Vyxal](https://github.com/Vyxal/Vyxal), 19 bytes
  • ```
  • 16Ḣλ?$τ»≤ṪḢ»3τ$İ∑;O
  • ```
  • [Try it Online!](https://vyxal.pythonanywhere.com/#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)
  • The link goes to a program which has every test case.
  • ## Explained
  • ```python
  • 16Ḣλ?$τ»≤ṪḢ»3τ$İ∑;O
  • 16Ḣ # The range [2, 16]
  • λ ;O # Get the maximal items in the list by:
  • ∑ # Summing
  • ?$τ # The input in that base
  • $İ # Indexed into (as in, vectorised index)
  • »≤ṪḢ»3τ # ⟨ 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 2 | 1 | 1 | 2 | 0 | 1 | 0 | 0 ⟩ (14551254 converted to base 3 - this is a 0-indexed list representing the number of holes in each letter)
  • ```
  • # [Vyxal](https://github.com/Vyxal/Vyxal), <s>19</s> 18 bytes
  • ```
  • 16Ḣλ»≤ṪḢ»3τ?nτİ∑;∴
  • ```
  • [Try it Online!](https://vyxal.pythonanywhere.com/#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)
  • The link goes to a program which has every test case.
  • -1 thanks to Steffan
  • ## Explained (old)
  • ```python
  • 16Ḣλ?$τ»≤ṪḢ»3τ$İ∑;O
  • 16Ḣ # The range [2, 16]
  • λ ;O # Get the maximal items in the list by:
  • ∑ # Summing
  • ?$τ # The input in that base
  • $İ # Indexed into (as in, vectorised index)
  • »≤ṪḢ»3τ # ⟨ 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 2 | 1 | 1 | 2 | 0 | 1 | 0 | 0 ⟩ (14551254 converted to base 3 - this is a 0-indexed list representing the number of holes in each letter)
  • ```
#1: Initial revision by user avatar lyxal‭ · 2022-09-30T01:11:47Z (over 1 year ago)
# [Vyxal](https://github.com/Vyxal/Vyxal), 19 bytes
```
16Ḣλ?$τ»≤ṪḢ»3τ$İ∑;O
```
[Try it Online!](https://vyxal.pythonanywhere.com/#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)

The link goes to a program which has every test case.

## Explained

```python
16Ḣλ?$τ»≤ṪḢ»3τ$İ∑;O
16Ḣ                 # The range [2, 16]
   λ             ;O # Get the maximal items in the list by:
                ∑   #   Summing
    ?$τ             #   The input in that base
              $İ    #   Indexed into (as in, vectorised index)
       »≤ṪḢ»3τ      #   ⟨ 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 2 | 1 | 1 | 2 | 0 | 1 | 0 | 0 ⟩ (14551254 converted to base 3 - this is a 0-indexed list representing the number of holes in each letter)       
```