
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
This game is played on an $8 \times 8$ chessboard containing two kings. The columns are numbered from $A$ to $H$ from left to right, and the rows are numbered from 1 to 8 from bottom to top. The white king plays first and starts at the bottom left ($A1$), and the black king starts at $A8$. The goal of the white king is to reach one of the squares $F8, G8,$ or $H8$, while the goal of the black king is to prevent that. (The kings follow the chess rules for moving: each turn a king moves one square in any of the eight directions, and must not move to a square within the reach of the opposing king.)

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