
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
Swap the white checkers with the black checkers using the least number of moves possible. Checkers cannot move diagonally or "capture" opponent's pieces. White checkers can only move right or up, while black checkers can only move left or down. Checkers can jump over checkers of the other color, as in a regular checkers game. Solve the puzzle by finding an effective strategy.

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