Comments on Make my number a set
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Make my number a set
Natural to set
(set meaning an unordered collection with no duplicates, though answers may use and output lists instead)
Recently I was brainstorming what a language with only (arbitrarily nested) sets would be like. A number is represented with a set of that many elements. The elements need to be different, which leads to this definition:
Definition
- The set representation of $0$ is the empty set.
- The set representation of any other integer $n$ is the set of the set representations of all positive integers less than $n$, including zero.
- Negative, complex, or rational numbers do not need to be handled.
- Your full program or function is to convert from a positive integer to a set or list.
Examples
0 {}
1 {{}}
2 {{}, {{}}}
3 {{}, {{}}, {{}, {{}}}}
[JavaScript (V8)], 32 bytes …
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BQN, 7 6 bytesSBCS ``` ≢↑∘ …
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[APL (ngn/apl)], 6 bytes …
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[Python 3], 34 bytes …
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Japt, 3 bytes ``` ÆßX ``` …
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[Jelly], 3 bytes Ḷ߀ …
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[Haskell], 51 31 bytes Save …
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[Ruby], 27 bytes ```ruby - …
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Jq, 19 bytes ```python def …
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Ruby, 23 bytes ```ruby ->n …
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Post
Python 3, 34 bytes
f=lambda x:[f(y)for y in range(x)]
-9 bytes thanks to Moshi
Unfortunately, I cannot use Python sets, because sets are unhashable and thus cannot be put into sets.
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