How do you count pi bonds on ring structures?

My teacher has given us several ring compounds and we have to determine the number of pi bonds. One ring has two double bonds and within the ring there are an oxygen with two lone pairs and a nitrogen with one lone pair. Oxygen is attached by single bonds on the ring while nitrogen is a attached by one single bond and one double bond. Does that make any sense? So its a cyclopentene but two of the carbons have been switched out with an oxygen and a nitrogen. Please HELP!

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