Assume the result of an exam has been published.
After 5 minutes, First person knows the result.
In next 5 minutes, new 8 persons know the result, and in total 9 know it.
Again after 5 minutes, new 27 people know, and total 36 know.
In similar fashion, total 100, 225..... people keep knowing it on 5 minute interval.
Challenge
Given a total number of people knowing (n), and a starting time in hour and minutes, output when total n people will know the result.
Example: If start is 1:02, and n is 225 the output time will be 1:27.
In output colons of time aren't needed, you may input or output as list or seperate variables.
n
will be always in the sequence of totals, i.e. (1,9,36,100,225....)