
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, adhering strictly to lines that are parallel to the axes. Let $C = (-5, 3)$ and $D = (4, -3)$. Calculate how many points with integer coordinates exist on any possible path the spider may take from $C$ to $D$ if the maximum allowed path length is 25 units.
A) 234
B) 240
C) 248
D) 256
E) 265

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