5
$\begingroup$

I'm trying to solve a challenge where I need to solve a certain pattern first

Below are the inputs and corresponding outputs:

"a" => "0"
"ab" => "1"
"h" => "10
"challenge" => "46150321430225"
"abc" => "40"

Hint is:

"Alpha7"

Who can help detecting the pattern?

$\endgroup$
4
$\begingroup$

[This is not a classical puzzle question, so I don't care about spoiler markup.]

You can get the numbers as follows:

  1. Convert the word to a list of numbers according to their 0-base index in the alphabet. For example,

    "abc"[0, 1, 2]

  2. Treat each element as a base 26 digit and convert to a number:

    [0, 1, 2] → 0×26×26 + 1×26 + 2 = 28

  3. Now convert that number to a base 7 representation:

    28 = 4×7 + 0 = 407

There's one ambiguity: Leading a's will have no impact on the number and hence cannot be recovered when reconverting back to words. The hint Aplha 7 means that you have to convert according to the alphabet first and to base 7 then.

$\endgroup$
  • $\begingroup$ should the OP really name this a pattern!? $\endgroup$ – Honey Oct 13 '16 at 19:52

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Not the answer you're looking for? Browse other questions tagged or ask your own question.