Edit - Code Golf Stack Exchange

You are not logged in. Your edit will be placed in a queue until it is peer reviewed.

We welcome edits that make the post easier to understand and more valuable for readers. Because community members review edits, please try to make the post substantially better than how you found it, for example, by fixing grammar or adding additional resources and hyperlinks.

Title*

Body*

## Background

Given an [elementary cellular automaton](https://en.wikipedia.org/wiki/Elementary_cellular_automaton) rule number like, for example, 28 = `00011100`…

[![description of rule 28][1]][1]

* We can swap \$\color{red}{\text{the 2nd bit with the 5th bit}}\$ and \$\color{orange}{\text{the 4th bit with the 7th bit}}\$ to get a rule that acts the same way but mirrored horizontally. This gets us `01000110` = 70.
* We can reverse _and flip_ all the bits to get a rule that does the same thing but with black and white reversed: `11000111` = 199.
* And we can combine these two processes — it doesn't matter which order we apply them in — to get a mirrored, reversed rule: `10011101` = 157.

Or, [as MathWorld puts it](https://mathworld.wolfram.com/Rule28.html):

> The mirror image, complement, and mirror complement are rules 70, 199, and 157, respectively.

The automata identified by rules {28, 70, 199, 157} all behave the same way, up to arbitrary distinctions of colors and axis orientation. But because 28 is the *lowest* of these four numbers, it is the "canonical" rule number.

## Task

Write a program or function that takes an input \0ドル \leq n \leq 255\$ and decides whether it is a canonical rule number.

These 88 inputs should be give a "true" result:

 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 18 19 22 23 24 25 26 27 28 29 30 32 33 34 35 36 37 38 40 41 42 43 44 45 46 50 51 54 56 57 58 60 62 72 73 74 76 77 78 90 94 104 105 106 108 110 122 126 128 130 132 134 136 138 140 142 146 150 152 154 156 160 162 164 168 170 172 178 184 200 204 232

and all other inputs should give a "false" result.

This is [tag:code-golf]. The [I/O defaults](https://codegolf.meta.stackexchange.com/questions/2447/default-for-code-golf-input-output-methods) apply.


 [1]: https://i.sstatic.net/Kp6M2.png

If this is an answer to a challenge…

…Be sure to follow the challenge specification. However, please refrain from exploiting obvious loopholes. Answers abusing any of the standard loopholes are considered invalid. If you think a specification is unclear or underspecified, comment on the question instead.
…Try to optimize your score. For instance, answers to code-golf challenges should attempt to be as short as possible. You can always include a readable version of the code in addition to the competitive one. Explanations of your answer make it more interesting to read and are very much encouraged.
…Include a short header which indicates the language(s) of your code and its score, as defined by the challenge.

More generally…

…Please make sure to answer the question and provide sufficient detail.
…Avoid asking for help, clarification or responding to other answers (use comments instead).

Draft saved

Draft discarded