
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
How many distinct ways can you arrange six keys on a keychain, if you want to put your house key next to your car key, and your office key next to your mailbox key? Two arrangements are not considered different if the keys can be rotated to appear in the same order, but reflections are considered different.

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