Here's the game: You are manipulating three different characters, $, A, 1. You will be putting these characters into different sequences or groups, such as: $A1, $A$A11, etc.

Here are the rules:

If you have a group with "A" at the end, you may add "1" to it. So if you have $A$11A you can make it $A$11A1, if you have $AA, you can make it $AA1, etc.

If you have a group that is $x where x is any set of $,A or 1, you may add x. So if you have $A1, you can make it $A1A1, if you have $aa11 you can make it $aa11aa11, ect.

If you have "AAA" anywhere in your group, you can change that to "1". So if you have $AAA$ it becomes $1$. If you have $11AAAA it can become $111A or $11A1. etc.

Edit (because I'm silly and didn't copy and paste correctly first time):

Rule 4: If you ever get "11" anywhere in a group, you can drop it. So $A11 can become $A, $111 can become $1, and $A11A can become $AA. (Sorry about the initial omission - see later post)

Your goal is to get from $A to $1. Here's your start:

$A

(now you can do $A1, or $AA - the choice is yours)

If you solve it, show your progression. Shortest route to $1 wins!

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Here's the game: You are manipulating three different characters, $, A, 1. You will be putting these characters into different sequences or groups, such as: $A1, $A$A11, etc.

Here are the rules:

If you have a group with "A" at the end, you may add "1" to it. So if you have $A$11A you can make it $A$11A1, if you have $AA, you can make it $AA1, etc.

If you have a group that is $x where x is any set of $,A or 1, you may add x. So if you have $A1, you can make it $A1A1, if you have $aa11 you can make it $aa11aa11, ect.

If you have "AAA" anywhere in your group, you can change that to "1". So if you have $AAA$ it becomes $1$. If you have $11AAAA it can become $111A or $11A1. etc.

Edit (because I'm silly and didn't copy and paste correctly first time):

Rule 4: If you ever get "11" anywhere in a group, you can drop it. So $A11 can become $A, $111 can become $1, and $A11A can become $AA. (Sorry about the initial omission - see later post)

Your goal is to get from $A to $1. Here's your start:

$A

(now you can do $A1, or $AA - the choice is yours)

If you solve it, show your progression. Shortest route to $1 wins!

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