A clock is malfunctioning. The minute hand of the clock only moves and indicates correct time every 12 minutes. For instance,

Question

A clock is malfunctioning. The minute hand of the clock only moves and indicates correct time every 12 minutes. For instance, the clock indicates 12 pm between 12 pm to 12:11 pm and indicates correct time at 12:12 pm. How many times does the clock indicate correct time between 12:10 pm and 5:35 pm?

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