
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
You have $6$ blue shirts, $4$ green shirts, $7$ pairs of pants, $9$ blue hats, and $7$ green hats, all distinct. How many outfits can you create consisting of one shirt, one pair of pants, and one hat, with the restriction that the shirt and hat must not be the same color?

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