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Here's a fun maze/grid puzzle inspired by this.

Rules of play:

Firstly, no two coins may occupy the same space at a time

Suppose we label the blue coins B1, B2

  • Then if B1 is on an arrow then we are allowed to move B2 in that direction (and vice versa)
  • If B1 is on a number we can move B2 that many squares BUT it may NOT go through another coin (say it can move 3 squares but the square directly above it is occupied, then it cannot move up)
  • If B1 is on an empty square we not move B2
  • Lastly, you are not allowed to go off the 4x4 grid.

Aim: Swap the red coins with the blue coins.

Here you go!

enter image description here

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  • $\begingroup$ At the start, may the SE red coin move 2 squares in a zig-zag or must it go straight? Also, may it move another 2 squares immediately after moving 2? $\endgroup$
    – humn
    Feb 4, 2017 at 10:49
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    $\begingroup$ In answer to the first question, it must move straight 2 squares. And for the second question, yes it may move twice or 3 times in a row. $\endgroup$
    – Wen1now
    Feb 4, 2017 at 10:59
  • $\begingroup$ Are solutions found by computer acceptable? $\endgroup$
    – Gareth McCaughan ♦
    Feb 4, 2017 at 11:57
  • $\begingroup$ I guess a solution is a solution... :) But really, the puzzle is quite fun to do by hand (just use four counters or something) $\endgroup$
    – Wen1now
    Feb 4, 2017 at 12:04
  • $\begingroup$ Suppose a coin is not on the edge of the board, does this means that he can't do the "3 squares" movement at all? $\endgroup$
    – FrodCube
    Feb 4, 2017 at 12:06

1 Answer 1

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I really liked this puzzle, as it was easy to reproduce on paper and posed a real challenge. Solving with trial and error did not work.

I've recorded the solution:

https://www.youtube.com/watch?v=UYZRfNfIYhs

Thanks for the puzzle!

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    $\begingroup$ Please edit this answer to include an explanation of the solution. Link-only answers are discouraged here, because if the link goes dead (and Youtube links go dead all the time), then the answer would be rendered useless. $\endgroup$
    – Rand al'Thor
    Feb 4, 2017 at 16:20

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