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Solution for World 413 of the game BoxWorld
World four hundred and thirteen is with many boxes for placement on the lower-right part.
Step by step solution

Go RIGHT, RIGHT, RIGHT, RIGHT, RIGHT, RIGHT, RIGHT, RIGHT, push RIGHT, RIGHT, RIGHT, RIGHT, RIGHT, RIGHT and RIGHT.
Go UP, UP, LEFT, LEFT, UP, UP, LEFT, LEFT, DOWN, DOWN, push RIGHT, RIGHT, RIGHT and RIGHT.
Go LEFT, LEFT, DOWN, DOWN, LEFT, LEFT, LEFT, LEFT, LEFT, LEFT, LEFT, LEFT, LEFT, LEFT, LEFT, LEFT, LEFT, UP, UP, UP, UP, UP, UP, UP, UP, RIGHT, RIGHT, RIGHT, RIGHT, RIGHT, RIGHT, RIGHT, RIGHT, RIGHT, RIGHT, RIGHT, RIGHT, RIGHT, RIGHT, RIGHT, DOWN, DOWN, push DOWN, DOWN, DOWN and DOWN.
Go UP, UP, RIGHT, RIGHT, UP, UP and push LEFT. Go RIGHT, DOWN, DOWN, LEFT, LEFT, LEFT, LEFT, DOWN, DOWN, DOWN, DOWN, LEFT, LEFT, LEFT, LEFT, LEFT, LEFT, LEFT, LEFT, LEFT, LEFT, LEFT, LEFT, LEFT, UP, UP, UP, UP, UP, UP, UP, UP, RIGHT, RIGHT, RIGHT, RIGHT, RIGHT, RIGHT, RIGHT, RIGHT, RIGHT, RIGHT, RIGHT, RIGHT, RIGHT, RIGHT, RIGHT, RIGHT, RIGHT, push DOWN, DOWN, DOWN, DOWN, DOWN, DOWN and DOWN.
Go UP, UP, UP, UP, UP, UP, UP, LEFT, LEFT, DOWN, push DOWN, DOWN and DOWN. Go LEFT, LEFT, DOWN, DOWN, RIGHT, RIGHT, push UP, go DOWN, LEFT, LEFT, UP, UP, RIGHT and push RIGHT.

Go LEFT, LEFT, UP, UP, push RIGHT, RIGHT, RIGHT, go LEFT, UP, UP, RIGHT, RIGHT, DOWN, push DOWN, DOWN, DOWN, DOWN and DOWN.
Go UP, UP, UP, UP, LEFT, LEFT, UP, UP, LEFT, LEFT, push DOWN, DOWN, DOWN, DOWN, DOWN, go UP, LEFT, LEFT, DOWN, DOWN, RIGHT and push RIGHT.
Go LEFT, LEFT and push DOWN. Go UP, RIGHT, RIGHT, UP, UP, UP, UP, UP, UP, LEFT, LEFT, LEFT, LEFT, push DOWN, DOWN, DOWN, DOWN, DOWN and DOWN. Go LEFT, LEFT, DOWN, DOWN, RIGHT, RIGHT, RIGHT, push RIGHT, RIGHT, RIGHT and RIGHT.
Go LEFT, LEFT, LEFT, UP, UP, UP, UP, UP, UP, push RIGHT, RIGHT, RIGHT, RIGHT, RIGHT, go LEFT, UP, UP, RIGHT, RIGHT, DOWN, push DOWN, DOWN, DOWN and DOWN.
Go UP, UP, UP, LEFT, LEFT, LEFT, LEFT, UP, UP, LEFT, LEFT, LEFT, LEFT, DOWN, DOWN, push RIGHT, RIGHT and RIGHT. Go LEFT, LEFT, LEFT, UP, UP, RIGHT, RIGHT, RIGHT, RIGHT, DOWN, push DOWN and DOWN. Go UP, LEFT, LEFT, DOWN, DOWN, RIGHT and push RIGHT.

Go UP, UP, UP, UP, LEFT, LEFT, push DOWN, go UP, LEFT, LEFT, DOWN, DOWN, RIGHT, push RIGHT, RIGHT, RIGHT, RIGHT, RIGHT, RIGHT, go LEFT, UP, UP, RIGHT, RIGHT, DOWN, push DOWN, DOWN and DOWN.
Go UP, UP, LEFT, LEFT, LEFT, LEFT, LEFT, LEFT, LEFT, LEFT, DOWN, DOWN, DOWN, DOWN and push DOWN. Go UP, LEFT, LEFT, DOWN, DOWN, RIGHT, push RIGHT, RIGHT, RIGHT, RIGHT and RIGHT.
Go LEFT, LEFT, LEFT, LEFT, UP, UP, UP, UP, UP, UP, LEFT, LEFT, LEFT, LEFT, LEFT, LEFT, DOWN, DOWN, DOWN, DOWN, RIGHT, RIGHT, push RIGHT, RIGHT and RIGHT. Go LEFT, LEFT, LEFT, LEFT, LEFT, UP, UP, UP, UP, RIGHT, RIGHT, RIGHT, RIGHT, DOWN and push DOWN. Go RIGHT, RIGHT, DOWN, push DOWN, DOWN, go UP, LEFT, LEFT, DOWN, DOWN, RIGHT, push RIGHT, RIGHT, RIGHT and RIGHT.
Go LEFT, LEFT, LEFT, UP, UP, UP, UP, LEFT, LEFT, push DOWN and DOWN. Go LEFT, LEFT, UP and push UP. Push RIGHT, RIGHT and RIGHT. Go LEFT, UP, UP, RIGHT, RIGHT, DOWN, push DOWN, DOWN, DOWN and DOWN. Go UP, UP, UP, UP, UP, UP, UP, LEFT, LEFT, LEFT, LEFT, LEFT, LEFT, LEFT, LEFT, LEFT, DOWN, DOWN, DOWN, DOWN, DOWN, DOWN, DOWN, DOWN, RIGHT, RIGHT, RIGHT, RIGHT, RIGHT, RIGHT, RIGHT, RIGHT, push RIGHT, RIGHT and RIGHT.
Go LEFT, LEFT, LEFT, LEFT and push UP. Go DOWN, RIGHT, RIGHT, UP, UP, UP, UP, LEFT, LEFT, LEFT, LEFT, DOWN, DOWN, RIGHT, push RIGHT, RIGHT, go LEFT, UP, UP, RIGHT, RIGHT, DOWN, push DOWN, DOWN, go UP, LEFT, LEFT, DOWN, DOWN, RIGHT, push RIGHT and RIGHT.

Go LEFT, LEFT, LEFT, UP, UP, LEFT, LEFT, UP, UP and push UP. Go DOWN, LEFT, LEFT, UP, UP, RIGHT, push RIGHT, RIGHT, RIGHT, RIGHT, RIGHT, RIGHT, RIGHT, RIGHT, RIGHT, RIGHT, RIGHT, RIGHT, go LEFT, UP, UP, RIGHT, RIGHT, DOWN, push DOWN and DOWN.
Go UP, LEFT, LEFT, LEFT, LEFT, LEFT, LEFT, LEFT, LEFT, UP, UP, LEFT, LEFT, LEFT, LEFT, push DOWN, DOWN, go LEFT, LEFT, DOWN, DOWN, RIGHT, RIGHT and push UP. Go DOWN, LEFT, LEFT, UP, UP, RIGHT, push RIGHT, RIGHT, RIGHT, RIGHT, RIGHT, RIGHT, RIGHT, RIGHT, RIGHT, RIGHT, RIGHT, RIGHT, go LEFT, UP, UP, RIGHT, RIGHT, DOWN and push DOWN.
Go LEFT, LEFT, LEFT, LEFT, LEFT, LEFT, LEFT, LEFT, UP, UP, LEFT, LEFT and push DOWN. Go UP, LEFT, LEFT, DOWN, DOWN, RIGHT, push RIGHT, RIGHT, RIGHT, RIGHT, RIGHT, RIGHT, RIGHT, RIGHT, RIGHT and RIGHT.
Go LEFT, LEFT, LEFT, LEFT, LEFT, LEFT, LEFT, LEFT, LEFT, LEFT, LEFT, UP, UP, LEFT, LEFT, LEFT, LEFT, LEFT, DOWN, DOWN, push RIGHT, RIGHT, RIGHT, RIGHT, RIGHT, RIGHT, RIGHT, RIGHT, RIGHT, RIGHT, RIGHT, RIGHT, RIGHT, RIGHT, go LEFT, UP, UP, RIGHT, RIGHT, DOWN, push DOWN, DOWN, DOWN and DOWN.
Go UP, UP, UP, LEFT, LEFT, UP, UP, LEFT, LEFT, LEFT, LEFT, LEFT, LEFT, LEFT, LEFT, LEFT, LEFT, LEFT, LEFT, push DOWN, go LEFT, DOWN, push RIGHT, RIGHT, RIGHT, RIGHT, RIGHT, RIGHT, RIGHT, RIGHT, RIGHT, RIGHT, RIGHT, RIGHT, RIGHT, RIGHT, go LEFT, UP, UP, RIGHT, RIGHT, DOWN, push DOWN, DOWN and DOWN.

Go UP, UP, LEFT, LEFT, UP, UP, LEFT, LEFT, LEFT, LEFT, LEFT, LEFT, LEFT, LEFT, LEFT, LEFT and push DOWN. Go UP, LEFT, LEFT, DOWN, DOWN, RIGHT, push RIGHT, RIGHT, RIGHT, RIGHT, RIGHT, RIGHT, RIGHT, RIGHT, RIGHT, RIGHT, RIGHT, RIGHT, go LEFT, UP, UP, RIGHT, RIGHT, DOWN, push DOWN and DOWN.
Go UP, LEFT, LEFT, LEFT, LEFT, LEFT, LEFT, LEFT, LEFT, LEFT, LEFT, LEFT, LEFT, LEFT, LEFT, LEFT, DOWN, DOWN and push RIGHT. Push UP, go LEFT, UP, push RIGHT, RIGHT, RIGHT, RIGHT, RIGHT, RIGHT, RIGHT, RIGHT, RIGHT, RIGHT, RIGHT, RIGHT, go LEFT, UP, UP, RIGHT, RIGHT, DOWN, push DOWN, DOWN, DOWN, DOWN and DOWN.
Go LEFT, LEFT, UP, UP, UP, UP, LEFT, LEFT, LEFT, LEFT, LEFT, LEFT, LEFT, LEFT, LEFT, LEFT, DOWN, DOWN, push RIGHT, RIGHT, RIGHT, RIGHT, RIGHT, RIGHT, RIGHT, go LEFT, DOWN, DOWN, RIGHT, RIGHT, UP, push UP and UP. Go DOWN, LEFT, LEFT, UP, UP, RIGHT, push RIGHT, RIGHT, RIGHT, RIGHT, go LEFT, UP, UP, RIGHT, RIGHT, DOWN, push DOWN, DOWN, DOWN and DOWN.
Go UP, LEFT, LEFT, UP, UP, LEFT, LEFT, LEFT, LEFT, LEFT, LEFT, LEFT, LEFT, LEFT, LEFT, DOWN, DOWN, LEFT, DOWN, DOWN and push RIGHT. Push UP, UP, UP, go LEFT, UP, push RIGHT, RIGHT, RIGHT, RIGHT, RIGHT, RIGHT, RIGHT, RIGHT, RIGHT, RIGHT, RIGHT, RIGHT, go LEFT, UP, UP, RIGHT, RIGHT, DOWN, push DOWN, DOWN and DOWN.
Go LEFT, LEFT, UP, UP, LEFT, LEFT, LEFT, LEFT, LEFT, LEFT, LEFT, LEFT, LEFT, LEFT, DOWN, DOWN, DOWN, DOWN, push RIGHT, RIGHT, RIGHT, RIGHT, RIGHT, RIGHT and RIGHT. Go LEFT, DOWN, DOWN, RIGHT, RIGHT, UP, push UP, UP, UP, UP, go DOWN, LEFT, LEFT, UP, UP, RIGHT, push RIGHT, RIGHT, RIGHT, RIGHT, go LEFT, UP, UP, RIGHT, RIGHT, DOWN, push DOWN and DOWN.

Congratulations. You have completed world four hundred and thirteen. Get ready for world four hundred and fourteen.
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