
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
Divide a sequence successively into groups where the first group contains one number, the second group contains two numbers, the third group contains three numbers, the fourth group contains one number, and so on in a cycle, such as (1), (3,5), (7,9,11), (13), (15,17), (19,21,23), (25), ..., then the sum of the numbers in the 50th group is \_\_\_\_\_\_\_\_.

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