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Challenges Are they abundant, deficient or perfect?

APL (Dyalog Unicode), 21 bytes {×⍵-+/∪⍵∨¯1↓⍳⍵}¨∘⍳⊢⌸⍳ Try it online! Returns a matrix (padded with zeroes) where the first row is deficient numbers, the second is perfect numbers, and the thi...

posted 3y ago by user‭  ·  edited 3y ago by user‭

Answer
#2: Post edited by user avatar user‭ · 2021-06-16T15:23:22Z (over 3 years ago)
  • # [APL (Dyalog Unicode)], 21 bytes
  • <!-- language-all: lang-apl -->
  • {×⍵-+/∪⍵∨¯1↓⍳⍵}¨∘⍳⊢⌸⍳
  • [Try it online!][TIO-kpzmat5b]
  • [APL (Dyalog Unicode)]: https://www.dyalog.com/
  • [TIO-kpzmat5b]: https://tio.run/##SyzI0U2pTMzJT///P@1R24Tqw9Mf9W7V1dZ/1LEKyHjUseLQesNHbZMf9W4GcmsPrXjUMQPE7lr0qGcHkAHUpWBkDAA "APL (Dyalog Unicode) – Try It Online"
  • Returns a matrix (padded with zeroes) where the first row is deficient numbers, the second is perfect numbers, and the third is abundant numbers. Explanation coming soon.
  • # [APL (Dyalog Unicode)], 21 bytes
  • <!-- language-all: lang-apl -->
  • {×⍵-+/∪⍵∨¯1↓⍳⍵}¨∘⍳⊢⌸⍳
  • [Try it online!][TIO-kpzmat5b]
  • [APL (Dyalog Unicode)]: https://www.dyalog.com/
  • [TIO-kpzmat5b]: https://tio.run/##SyzI0U2pTMzJT///P@1R24Tqw9Mf9W7V1dZ/1LEKyHjUseLQesNHbZMf9W4GcmsPrXjUMQPE7lr0qGcHkAHUpWBkDAA "APL (Dyalog Unicode) – Try It Online"
  • Returns a matrix (padded with zeroes) where the first row is deficient numbers, the second is perfect numbers, and the third is abundant numbers.
  • ```
  • {×⍵-+/∪⍵∨¯1↓⍳⍵}¨∘⍳⊢⌸⍳
  • ⍳ ⍝ Make a range [1, input]
  • ¨ ⍝ For every ⍵ in that range
  • ⍳⍵ ⍝ Make a range [1, ⍵]
  • ¯1↓ ⍝ Drop the last number (⍵)
  • ⍵∨ ⍝ GCD all numbers in that range with ⍵
  • ∪ ⍝ The previous step gave proper divisors, this removes duplicates
  • +/ ⍝ Sum proper divisors
  • ⍵- ⍝ Subtract from ⍵
  • × ⍝ Get the sign
  • ⍳ ⍝ Make another range [1, input]
  • ⌸ ⍝ Group by the signs of the differences we got earlier
  • ```
#1: Initial revision by user avatar user‭ · 2021-06-16T15:18:41Z (over 3 years ago)
# [APL (Dyalog Unicode)], 21 bytes

<!-- language-all: lang-apl -->

    {×⍵-+/∪⍵∨¯1↓⍳⍵}¨∘⍳⊢⌸⍳

[Try it online!][TIO-kpzmat5b]

[APL (Dyalog Unicode)]: https://www.dyalog.com/
[TIO-kpzmat5b]: https://tio.run/##SyzI0U2pTMzJT///P@1R24Tqw9Mf9W7V1dZ/1LEKyHjUseLQesNHbZMf9W4GcmsPrXjUMQPE7lr0qGcHkAHUpWBkDAA "APL (Dyalog Unicode) – Try It Online"

Returns a matrix (padded with zeroes) where the first row is deficient numbers, the second is perfect numbers, and the third is abundant numbers. Explanation coming soon.