
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 spider moves in the coordinate plane, sticking to paths that are parallel to the $x$-axis or $y$-axis. Let $A = (-4, 1)$ and $B = (4, -1)$. Determine how many points with integer coordinates lie on at least one possible path from $A$ to $B$ if the longest permissible path is 18 units.
A) 99
B) 141
C) 161
D) 175
E) 195

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