
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
Place five cards labeled $A, K, Q, J, 10$ into five envelopes also labeled $A, K, Q, J, 10$ such that each envelope contains exactly one card. How many ways can this be done such that no card ends up in the correctly labeled envelope?

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