
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 6 shirts and 6 pairs of pants, each available in 6 colors. There are 12 hats in total; 6 of these hats have patterns and 6 hats are the solid colors that match the shirts and pants. I refuse to wear an outfit where all three items are the same color or where a patterned hat is worn with two solid items of different colors. How many outfit choices do I have?

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