
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
Liam has $10$ identical stickers and $5$ sheets of paper, of which two sheets are glued together (treated as one distinct but larger sheet). How many ways can Liam stick the stickers on these sheets if only the number of stickers on each "sheet set" (single sheets and the glued pair) matters?

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