
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
Smart Dusya arranges six cheat sheets into four hidden pockets so that cheat sheets 1 and 2 end up in the same pocket, cheat sheets 4 and 5 also end up in the same pocket but not in the one where 1 and 2 are. The others can be placed in any way, but only one pocket can remain empty (or all pockets can be filled). In how many different ways can this be done?

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