
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
Arrange the leftmost numbers of Pascal's triangle in the following manner:

Diagonals are a sequence of numbers connected by arrows in a slanted direction. For example, the first diagonal is " $1 \leftarrow 1$", the second diagonal is " $1 \longleftrightarrow \rightarrow 2$", and the third diagonal is " $1 \longleftrightarrow 3 \longleftrightarrow \rightarrow 1$".

Question: What is the sum of all the numbers in the 13th diagonal?

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