# Opposite block control sliding game

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!

• 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? Feb 4, 2017 at 10:49
• 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. Feb 4, 2017 at 10:59
• Are solutions found by computer acceptable? Feb 4, 2017 at 11:57
• I guess a solution is a solution... :) But really, the puzzle is quite fun to do by hand (just use four counters or something) Feb 4, 2017 at 12:04
• 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? Feb 4, 2017 at 12:06