
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 six keys be arranged on a keychain, if I want my house key next to my car key, and my wallet key next to my office key? Two arrangements are not considered different if the keys can be rotated or reflected without changing the order of keys.

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