I have a puzzle for you. I'd also appreciate if you could vote in the poll what you think BEFORE checking out the rest of the thread. The puzzle is as follows:
You have 3 numbers, like on a bike lock for example, that can be either 1, 2, or 3. Examples could be:
[1, 2, 1]
[3, 3, 3]
[2, 2, 3]
Now you can do operations on either the first 2 numbers or the last 2 numbers. Doing operations on all 3, one at a time, or on the first and last at the same time are not allowed.
The operation is adding one to the two numbers. If the number is a 3, then it "wraps around" back to 1, like on a bike lock or a clock.
So starting out at [2, 2, 3] and adding 1 to the last 2 numbers would result in: [2, 3, 1]
For the puzzle, the numbers start out at [3, 3, 3] and your goal is to get the numbers to [2, 2, 1]. If you think the puzzle is possible to solve, provide a solution! If you think it's impossible, then prove it.
I already have an answer in mind but I want to see what you guys think.
Poll