
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
We would like to move a piece from the top-left corner to the bottom-right corner of a $5 \times 5$ chessboard such that the piece can only move one square to the right or one square down. We want to designate one forbidden square on the chessboard, which the piece is not allowed to step on. Which square should this be in order to minimize the number of possible paths from the top-left corner to the bottom-right corner, while still allowing at least one valid path?

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