
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
In Pascal's Triangle, each number is the result of the sum of the number above it to the left and the number above it to the right. Consider Row 10, calculate the sum of the numbers in this row, and also determine the sum for Row 11. Verify the pattern mentioned in the previous problem.

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