There is a sacred hill where monks pray. At each hour, a monk leaves the base for the top of the hill. Also at each hour, a monk leaves from the top of the hill for the return journey. Traversing the hill takes 4 hours in either direction and there is only one path.
If a monk starts his journey from the bottom at 12 noon, exactly how many monks will he pass along the way to the top?
Note: Include any monks that he passes at the bottom or top of the hill.
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