Return to Answer

thinko

Source Link

edited Oct 4, 2022 at 15:47

177.2k
12
74
281

Charcoal, 14 bytes

Ｉ⌊₂⁺¹·⁵‽Ｘ⁺·⁵Ｎ²Ｉ⌊⁺·⁵₂⊕‽Ｘ⁺·⁵Ｎ²

Try it online!Try it online! Link is to verbose version of code. Explanation:

            Ｎ   Input `n` as a number
         ⁺·⁵    Plus literal number `0.5`
        Ｘ    ²  Squared
       ‽        Random element of implicit range
   ⁺¹·⁵   ⊕      Plus literal number `1.5`Incremented
  ₂  ₂           Square root
  ⁺·⁵           Plus literal number `0.5`
 ⌊              Floor
Ｉ               Cast to string
                Implicitly print

Example: For n=4, the implicit range is [0..20), which the remaining code maps 0..1 to 1, 2..5 to 2, 6..11 to 3 and 12..19 to 4, thus p(k)∝k as desired.

Charcoal, 14 bytes

Ｉ⌊₂⁺¹·⁵‽Ｘ⁺·⁵Ｎ²

Try it online! Link is to verbose version of code. Explanation:

            Ｎ   Input `n` as a number
         ⁺·⁵    Plus literal number `0.5`
        Ｘ    ²  Squared
       ‽        Random element of implicit range
   ⁺¹·⁵         Plus literal number `1.5`
  ₂             Square root
 ⌊              Floor
Ｉ               Cast to string
                Implicitly print

Example: For n=4, the implicit range is [0..20), which the remaining code maps 0..1 to 1, 2..5 to 2, 6..11 to 3 and 12..19 to 4, thus p(k)∝k as desired.

Charcoal, 14 bytes

Ｉ⌊⁺·⁵₂⊕‽Ｘ⁺·⁵Ｎ²

Try it online! Link is to verbose version of code. Explanation:

            Ｎ   Input `n` as a number
         ⁺·⁵    Plus literal number `0.5`
        Ｘ    ²  Squared
       ‽        Random element of implicit range
      ⊕         Incremented
    ₂           Square root
  ⁺·⁵           Plus literal number `0.5`
 ⌊              Floor
Ｉ               Cast to string
                Implicitly print

Example: For n=4, the implicit range is [0..20), which the remaining code maps 0..1 to 1, 2..5 to 2, 6..11 to 3 and 12..19 to 4, thus p(k)∝k as desired.

Source Link

created Oct 4, 2022 at 11:46

Neil

177.2k
12
74
281

Charcoal, 14 bytes

Ｉ⌊₂⁺¹·⁵‽Ｘ⁺·⁵Ｎ²

Try it online! Link is to verbose version of code. Explanation:

            Ｎ   Input `n` as a number
         ⁺·⁵    Plus literal number `0.5`
        Ｘ    ²  Squared
       ‽        Random element of implicit range
   ⁺¹·⁵         Plus literal number `1.5`
  ₂             Square root
 ⌊              Floor
Ｉ               Cast to string
                Implicitly print

Example: For n=4, the implicit range is [0..20), which the remaining code maps 0..1 to 1, 2..5 to 2, 6..11 to 3 and 12..19 to 4, thus p(k)∝k as desired.