
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
I have 7 shirts, 5 pairs of pants, and 7 hats. The pants come in tan, black, blue, gray, and green. The shirts and hats come in those colors plus white and yellow. I refuse to wear an outfit where the shirt, pants, and hat are all from no more than two distinct colors. Count the number of valid choices for an outfit consisting of one shirt, one pair of pants, and one hat.

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