
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
There are 2012 backgammon checkers with one side being black and the other side being white. These checkers are arranged in a line such that no two consecutive checkers are the same color. At each move, two checkers are chosen, and their colors are reversed along with those of the checkers between them. Determine the minimum number of moves required to make all checkers the same color.

Present the answer in LaTex format: \boxed{Your answer}
user