Spetterende Spelletjes

Logic Level 3

Image Credit: Imgur Image Credit: Imgur

There are 3 red boxes on the left, 3 yellow boxes on the right, and 1 empty tile in the middle. (All 7 spots are in a row, as illustrated in the image above.) The red boxes can only move to the right while the yellow boxes can only move to the left. Additionally, they can jump over exactly one box.

Your goal is to switch the positions of the red and yellow boxes. What is the minimum number of steps required to achieve this?

Source : Reddit
16 15 17 14 13 Not possible

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Christopher Boo by Christopher Boo , 24, Singapore

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1 solution

Christopher Boo
Jan 5, 2017

NOT A PROPER SOLUTION

3 Helpful 0 Interesting 0 Brilliant 0 Confused

Followed exactly the same steps as in the solution. Can't figure out the best way to minimize the moves. :)

The more likely reason is that if there is one empty space between the blocks, then you are forcing the pattern to be alternating. This shows that the puzzle is possible.

If suppose we minimize the number of moves, then we end up with double-blocks, which leads us to the dead end.

Nice puzzle!

Michael Huang - 4 years, 5 months ago

Is there any method to prove that there are not any smaller number of combination steps to achieve the required position?

Anandmay Patel - 4 years, 5 months ago

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I actually constructed a tree of steps. It turns out that it's the only combination.

Christopher Boo - 4 years, 5 months ago

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