Hi...cut 10 pieces of paper,write the numbers(1 to 5) on the first five papers.
then write the letters(A,B,C,D,and E)on the other five papers.
put the papers with numbers to your left side and the papers with letters to the right side.like this:
1..2..3..4..5--------------------A..B..C..D..E
your goal is to change their places at the same order,to make them like this:
A..B..C..D..E--------------------1..2..3..4..5
you should follow these roles:
1- you should always move two adjacent items together,e.g. two numbers,two letters,or a mixture.
2-the two selected items from each side should replace each other( this will be concidered as one move).
for example:if you choose(12) from the left side,and (AB)from the right side,so they should replace each other like this: A..B..3..4..5-------------1..2..C..D..E
3-you can choose any two adjacent items(e.g.for 3 you can choose either 23,or 34,but for 5, there is only 45).
4-you are not allowed to change the sequence of the pair,,i.e.(12) can not be (21).
Have a nice time...and we will see who can solve it with minimum moves.