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# Weekly Challenge

Solve the challenge, share your solution and summit the ranks of our Community!
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## Challenge #148: Rotating Century Puzzle

Meteoroid
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Asteroid

My Solution:

Pulsar
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Nebula

:-) this is a good challenge - makes you think about base 6 numbering systems...

Super impressed with @jdunkerley79 's and @EstherB47  's solution (few tools - exhaust the problem space)

Spoiler
The approach here was to think about all the combinations for 1 slice first
- In other words - take the numbers which are at the 12 O'clock position in each ring, and call them slice 0; then go round the circle in clockwise order then you'll find slice 1, 2,3,4,5
- For slice zero - you create every combination of the inner 5 rings
- Once you know slice zero - you can derive the other slices fairly easily

The trick is to figure out the combinations by generating numbers; converting using base 6 math a set of 6 digits (each from 0 to 5).    This makes it much easier than generating 1 rotation for every ring.

Once you have this, you can then do a quick lookup to find the value written on the ring, and do a simple sum.

Looking forward to reading the solutions from other folk.

Alteryx Certified Partner

Here's my solution... an assisted one as I couldn't have done it without peeking at @jdunkerley79 's MOD function.

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Meteor

I just figured out  R1, R2 and R6 were in the correct order off the bat and R3 and R4 just needed to rotate up 1 sequence and R5 needed to rotate up 2 sequences. Patato Potato?

Alteryx Certified Partner

22

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Alteryx Partner

Decided to reverse-engineer it so it's probably a shorter workflow than most

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Asteroid

My solution: rotation, Cartesian, sum and filter.

Alteryx Partner
Spoiler

Pleased with myself to get this one!

It was quite difficult, but I enjoyed it. I unfortunately used 5 slightly different macros one after the other to get it to find every possible combination, but I couldn't be bothered at that point to consolidate them. Then, as I'd used a recordID + grouping in each macro, I could find the one combination where everything was in the right order. Doesn't make too much sense, but hopefully the workflow does!