
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
Consider two points, $A = (-2, 3)$ and $B = (4, -3)$ in the coordinate plane, where a bug can only travel parallel to the $x$ or $y$ axes. Determine the total number of points with integer coordinates through which the bug can travel from $A$ to $B$ if the maximum permissible path length is 22 units.

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