Problem 2431. Power Times (of the day)
Many times throughout the day can represent mathematical equations. In this problem, we focus on times that represent powers. For example, 8:23 can be written as 8=2^3. Write a function that determines if the given time (restricted to three digits in 12hour time, 1:00 to 9:59) is a power time. There are four types that are categorized here, and a given time can fit more than one category:
 equation written forward, "=" doesn't coincide with ":" > add 1 to output (e.g., 2:38)
 equation written forward, "=" does coincide with ":"  > add 100 to output (e.g., 8:23)
 equation written backward, "=" doesn't coincide with ":" > add 10 to output (e.g., 3:28)
 equation written backward, "=" does coincide with ":" > add 1000 to output (e.g., 9:23)
Examples of combination times include 4:22 (1100 since 4=2^2 and 2^2=4) and 1:31 (1001 since 1^3=1 and 1^3=1).
This problem is related to Problem 2432 and Problem 2433.
Solution Stats
Problem Comments

7 Comments
The explanation and/or test cases are lacking...
Can anybody explain the terms forward and backward ?
As best as I can tell, they refer to how you should read the equation (equivalently, the time): forward (lefttoright, i.e. as usual) or backward (righttoleft). For example, 3:28, when read forward, would give "3^2=8" or "3=2^8", neither of which is true, but read backward you get "8=2^3" (true) and "8^2=3" (not true).
Christian, thanks for your reply.
This problem should now be a piece of cake !
Carl, you're welcome!
Note : the backward of time '3:28' is '82:3', not '8:23' !
So the backward of a time is not a time between 1:00 and 9:59 !
carl, reading a time backwards (right to left) does not need to result in a valid time. For such cases, you discard the colon to assess the numbers as an equation as Christian explained.
Solution Comments
Show commentsProblem Recent Solvers88
Suggested Problems

1714 Solvers

130 Solvers

4155 Solvers

303 Solvers

120 Solvers
More from this Author139
Problem Tags
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!