
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
You and I play the following game on an \(8 \times 8\) square grid of boxes: Initially, every box is empty. On your turn, you choose an empty box and draw an \(X\) in it; if any of the four adjacent boxes are empty, you mark them with an \(X\) as well. (Two boxes are adjacent if they share an edge.) We alternate turns, with you moving first, and whoever draws the last \(X\) wins. How many choices do you have for a first move that will enable you to guarantee a win no matter how I play?

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