# Owl A,B,C

Owl a gives a hoot every 7 minutes. Owl b gives a hoot every 9 minutes. Owl c gives a hoot every 5 minutes except when he has heard owl a or b give a hoot within the previous 2.5 minutes. If this happens, owl c doesn't give a hoot. If all three owls give a hoot at the stroke of midnight, how many times after midnight and before 1:00 am does the owl c give a hoot?

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