This man must go out only once in a square.
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Explanation:
Hey mate!!!!!!
The man enters the first room but he can leave it and get back to the first room as there are no insects in the first room .
Hence proved!
First Blue then red then green!
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Path of the person:
Let the boxes be numbered. There are 4 rows and 4 columns then there are 16 boxes.
From question the condition given is the man must go out only once in a square. It is not given that the person cannot return.
The person move from room 1 to room 2 and return to room 1. The person moves room 8, 9, 13, 14, 10 and 7.
The move to room 6 and room 3.
Then move to room 4, 5 and 12.
Then move room 11 and 15. Then finally move to room 16 and moves out.
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