
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
Someone writes a letter to each of 6 different recipients and prepares 6 envelopes with the recipients' names and addresses on them. In how many ways can the letters be placed in the envelopes such that no letter matches the recipient on the envelope?

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