
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
A bug starts at point $A = (-4, 3)$ and ends at point $B = (4, -3)$ on the coordinate plane, moving only along lines parallel to the $x$-axis or $y$-axis. Determine the number of points with integer coordinates that the bug can visit at least once along a path with a maximum length of 18 units.

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