
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
Consider a similar triangular array of numbers where each number is the sum of the two adjacent numbers in the previous row, but the sides of the triangle increase by 1, 2, 3, 4, ..., instead of 0, 1, 2, 3, .... Calculate the sum of the numbers in the 50th row.

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