N is a 3-digit positive integer (with no leading zeroes) divisible by 3, such that by reversing the digits of N/3 and subtracting 1 from the result, we will obtain N.
Determine all possible value(s) of N.
Bonus Question:
If the number of digits in N is > 3, with all the other conditions remaining the same, what is the minimum value of N?
Note: While a solution is trivial with the aid of a computer program, show how to derive it without one.