
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
Henry's little brother has $9$ identical stickers and $4$ sheets of paper: one is double-colored and thus needs twice the number of stickers as any other sheet, while the other three are each a different single color. He puts all the stickers on these sheets. Calculate the total ways he can distribute his stickers given only the number of stickers on each sheet matters and the double-colored sheet needs at least twice as many stickers as any given single-colored sheet.

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