
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
In a $4 \times 4$ square, a piece is placed on a cell marked with a grey background. In one move, the piece moves to an adjacent cell in the direction of the arrow on which it stands. Additionally, after each move, the arrow in the cell where the piece just left changes to the opposite direction. From which cell will the piece exit the boundary of the square? Provide the row and column of this cell in the answer.

(a) Row $A$

(1) Column 1

(b) Row $B$

(2) Column 2

(c) Row $C$

(3) Column 3

(d) Row $D$

(4) Column 4

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