Calkin-Wilf sequence: Difference between revisions
add BQN
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The element 83116/51639 is at position 123456789 in the sequence.</pre>
=={{header|BQN}}==
BQN does not have rational number arithmetic yet, so it is manually implemented.
Part 2 runs in ~150 secs on [[CBQN]].
<code>GCD</code> and <code>_while_</code> are idioms from [https://mlochbaum.github.io/bqncrate/ BQNcrate].
<lang bqn>GCD ← {m 𝕊⍟(0<m←𝕨|𝕩) 𝕨}
_while_ ← {𝔽⍟𝔾∘𝔽_𝕣_𝔾∘𝔽⍟𝔾𝕩}
Sim ← { # Simplify a fraction
x𝕊1: 𝕨‿1;
0𝕊y: 0‿𝕩;
⌊𝕨‿𝕩 ÷ 𝕨 GCD 𝕩
}
Add ← { # Add two fractions
0‿b 𝕊 𝕩: 𝕩;
𝕨 𝕊 0‿y: 𝕨;
a‿b 𝕊 x‿y:
((a×y)+x×b) Sim b×y
}
Next ← {n‿d: ⌽(2×⌊÷´n‿d)‿1 Add (d-n)‿d} # Next term
Cal ← {Next⍟𝕩 1‿1}
•Show Cal 1+↕20
•Show {
cnt‿fr:
⟨cnt+1,Next fr⟩
} _while_ {
cnt‿fr:
fr ≢ 83116‿51639
} ⟨1,1‿1⟩</lang>
<lang bqn>⟨ ⟨ 1 2 ⟩ ⟨ 2 1 ⟩ ⟨ 1 3 ⟩ ⟨ 3 2 ⟩ ⟨ 2 3 ⟩ ⟨ 3 1 ⟩ ⟨ 1 4 ⟩ ⟨ 4 3 ⟩ ⟨ 3 5 ⟩ ⟨ 5 2 ⟩ ⟨ 2 5 ⟩ ⟨ 5 3 ⟩ ⟨ 3 4 ⟩ ⟨ 4 1 ⟩ ⟨ 1 5 ⟩ ⟨ 5 4 ⟩ ⟨ 4 7 ⟩ ⟨ 7 3 ⟩ ⟨ 3 8 ⟩ ⟨ 8 5 ⟩ ⟩
⟨ 123456789 ⟨ 83116 51639 ⟩ ⟩</lang>
You can try Part 1 [https://mlochbaum.github.io/BQN/try.html#code=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 here.] Second part can and will hang your browser, so it is best to try locally on [[CBQN]].
=={{header|C++}}==
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