
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
On each of the four marked fields on a chessboard, there is a checker. A checker, as you know, strives to become a "king." Which one of them can make this journey on an empty board in the greatest number of ways? What is this number for each of the checkers?

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