
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
A similar question about partitioning into three terms (order matters).

The Pascal's triangle is a table such that:

(There are ones on the sides of the triangle, and each other number in the table is the sum of the two numbers above it).

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