
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
As shown in the famous ancient Chinese "Yang Hui triangle," the sum of all numbers in the 9th row is:
1st row: 1
2nd row: 11
3rd row: 121
4th row: 1, 3, 3, 1
...
7th row: 1, 6, 15, 20, 15, 6, 1

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