
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 polygon has 150 sides. Calculate the number of diagonals that can be drawn if the diagonal should not connect vertices whose indices differ by a multiple of 4.
A) 11025
B) 5625
C) 5400
D) 22050
E) 7350

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