
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
4 can be written in three different ways as an ordered sum of two numbers: $1+3, 2+2,$ and $3+1$. How can $n$ be written as an ordered sum of $p$ numbers?

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