2016 comeback

Algebra Level 5

This 2016, when was the \(2016^\text{th}\) instance that the hour hand and the minute hand overlap?

Write your answer as mmddhhmmss in 24 hour format and rounded off to the nearest second.

For example, if your answer is July 3, 2016, 5:15:23 pm, then write your answer as 0703171523.

Note: The first overlap is on Jan 1st midnight, namely 0101000000.


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