
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
A sequence of numbers is grouped into brackets, with the first bracket containing one number, the second bracket containing two numbers, the third bracket containing three numbers, the fourth bracket containing one number, and so on, in the pattern $(1)$, $(3,5)$, $(7,9,11)$, $(13)$, $(15,17)$, $(19,21,23)$, $(25)$, ... What are the numbers in the 100th bracket?

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