puzzle-136b0064

Hardest one I've seen so far! We have a mapping tiling challenge here.

We use the yellow divider to recognize that within each training input, we have a sort of input-output expectation.

We next need to recognize how the structures of the input map to the new structure of the output. We use the colors to find that the order of colors in the output (top to bottom) comes from the colors of the input in a snake pattern (i.e for four structures: top-left, bottom-left, top-right, bottom-right). This was a little more difficult because there are different ordering patterns from input to output.

The next task was figuring out what structures to draw, now that we know the color expectation. We'd expect that the input structure shape might have something to do with it, but after a lot of trying to map the shape to some output, I realized that for each color there is actually only one shape, and in the output, there is only one shape.

So again an unexpected mapping because the shape of input structures don't matter and instead it's a fixed mapping.

• Blue input means draw three blue to the right.

• Magenta input means draw two down

• Red input means draw two left

• Green input means draw four left

To find this you really need to look at the whole problem set otherwise you'll be searching hard for patterns that don't exist. Kind of interesting. It feels like this puzzle has traps that when attempted algorithmically would lead the algo to search indefinitely for something that wasn't there.

The same thing happened to my thinking, which is why it took longer. We need to build in some mechanism after a certain amount of time spent searching to pull back from a deep search and reevaluate the expected patterns, and perhaps remove old assumptions and try a new approach.