
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 now has $10$ identical stickers and $5$ sheets of paper, where each sheet can be in one of $2$ different colors. He plans to distribute all the stickers across these papers solely based on the total number of stickers on each sheet, but also wants each arrangement to be unique based on both sticker count and paper color. How many distinct ways can he achieve this?

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