Palindromic hours
What is the shortest time between two different palindromic hours on a digital clock?
For example, the difference between and is minutes.
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1 solution
Of course it could not be 1 minute, as then we would have either a number starting with 0 or two palindromes with only a difference in last digit, an impossibility.
So we just need one example for 2 minutes, such as 9 : 5 9 and 1 0 : 0 1 .