
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
Sequence the numbers initially by one number in the first parenthesis, two numbers in the second parenthesis, three numbers in the third parenthesis, one number in the fourth parenthesis, and so on, in a repeating cycle, and calculate the sum of the numbers in the 50th parenthesis.

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