
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
In how many distinct ways can I arrange my six keys on a keychain, if I want to put my house key next to my car key, and my office key needs to be adjacent to this pair (either before or after them)? Two arrangements are considered the same if the keys are in the same order or can be rotated or reflected to be in the same order.

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