Wednesday, July 12, 2017

sliding blocks - Monday's Blocking Donimoes Problem



I've designed a set of dominoes puzzles that I call Donimoes. You slide the dominoes like the cars in Nob Yoshigahara's Rush Hour puzzle, always along their long axis.


The Blocking Puzzle's Goal


The goal is to slide all the dominoes into a rectangle, without sliding any matching numbers next to each other.


Moves


Move a domino one space along its long axis so that none of its numbers match an adjacent number on a neighbouring domino. In this example, the lower domino can move to the right, because the three doesn't match the two, and the four doesn't match the 3. You couldn't move it another space to the right, because then the threes would be right next to each other.


move example


Stay Connected


All the dominoes in the puzzle have to be connected in one solid group, diagonal connections don't count. When you move a domino, it can be disconnected during the move, as long as it is connected at the start and the end of the move. Remember that it can only move one space at a time, though.


Example Problem


Here's a small example problem:



example problem


Find a set of dominoes, set them up to match the diagram, and then slide them into a rectangular shape. If you need help, here's the solution:



example solution



You can write that solution using this notation:



01D, 12R, 12R, 12R, 01U, 60U



For each step, move the listed domino left, right, up, or down.



Today's Problem


Now here's a more challenging problem for you to solve. Post your solution as an answer.


main problem


If you like this puzzle, watch for new problems every day this week.



Answer



Since the 'donimoes' are limited to moving along their long axis, I believe this can be done in 12 moves as follows:



32L 32L 24U 10L 02U 10L 10L 10L 02D 24D 25L 32L



Visually:




enter image description here



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