Sokoban Solving

Mr. Sokoban pushes boxes to get them to storage locations. Here is how he solves a certain level:

Level 1

Level 1

He is stuck on the following puzzle:

Level 2

Level 2

Is this puzzle solvable?

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Details and Assumptions:

  • The player may only move horizontally or vertically onto empty squares (never through walls or boxes).
  • The player can never stand on a box. However, he can stand on a storage location.
  • The player can also move into a box, which pushes it into the square beyond.
  • Boxes may not be pushed into other boxes or walls, and they cannot be pulled either.
  • The puzzle is solved when all boxes are at storage locations.
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