
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 $7$ red shirts, $6$ green shirts, $10$ pairs of pants (each pair labeled with a unique number from 1 to 10), $9$ green hats, $9$ red hats, and $5$ blue hats. How many outfits can you make consisting of one shirt, one pair of pants, and one hat such that the shirt and hat colors are not the same, and the pants' number is odd when wearing a green shirt?

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