Ponder This

Welcome to our monthly puzzles.
You are cordially invited to match wits with some of the best minds in IBM Research.

April 2025 - Solution

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April 2025 Challenge


April 2025 Solution:

The best solutions received were the following length 397 solution by Radu-Alexandru Todor
RRDRRURRRRDRDRRDRRURDRUDDLDDDRUURRRDLDRDLLLLDRDLDRDLDRDRUUUURDRDLDRDLDRDLLULDLUULDDLLLURRULLUURDRURUULDLULDLU
URURDRURUUUULLDRDDLULDLDLUURURUULDLDLUURULULLDRDLDRDLLUUULUUDDDDDLUUULULDDRDLDRDLDRRURDRURDRURDDLLLLLLLDRRRRR
RDRRDLLLULDLULDLULDDDDDDDDDRUUUUUUURDDDDDDDRUUUUUUURDDDDDDDRUUUUUUURDDDDDDDRUUUUUUURRDLDRDLDDRDLDRRUURDDRUURD
DRURURDDRUURDDRUUUUUUUUULULLRRRUUUUULLLDDUUUURDRRUUULDLULDLULDLULDLULD
and length 401 solution by Dominik Reichl
RRDRRURRRRDRRRDDRRRDRDDLDRRDRRULUULURULLULLLURURDRURDDRRURULLDDRRDLDRDLDRDDDLLUULULDDDRDRRRDDDDDDDDDLLLURRUUU
UUUULDDDDDDLLDLDLUUURRRULLLURRRULLURRULLULDDLDDLDDRDDDLUULDLDLLLLLLLLLURRRRRRRRURRUUUURUURUUURRLUUUULLDRDLDRL
DDDLDDLDDDLDLDLULLDLLLLURRRULLLUUUUUUUUUUUUUURDDDDDDDDDDDDDRUUUUUUUUUUUUUURDDDDDDDDDDDDDDDRRRRURUUURULLDDDLDL
LURURULLDUUUUUUUUUUURDDDDDDDDDRUUUUUUUUURDDDDDDDRRDRUULLURRULLURRULLURUURR
who also found the bonus solution
RRRRDDDDLDLLDRRDRDDRUUURRURRDRUUUURDDDDRDRRDDRRDDDDDDDRRULUURUUUUUURURUURRRDDDRRURRRDDDDDDLLDDRDRDDDLDDRRDDDD
LDL
In general, the Klumpengeist problem can be viewed as a variant of the travelling salesperson problem, hence NP-complete and thus should be solved using heuristics and smart search algorithms; but the bound on the number of steps was set very high (maybe too high) leading some of you to code the game themselves (maybe with a little help from AI) and solving it manually by playing. If you like this game, you might want to check out Katamari Damacy.