
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
Diane has stamp denominations of 1 cent up to 12 cents, with each denomination having a number of stamps equal to its value (1 one-cent stamp, 2 two-cent stamps, etc., up to 12 twelve-cent stamps). Determine how many different arrangements Diane can make to achieve exactly 12 cents of postage in a row across the top of an envelope. Treat identical stamps as indistinguishable.

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