
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 positive integers starts with one 1, followed by two 2's, three 3's, and so on. (Each positive integer \( n \) occurs \( n \) times.) How many of the first 105 numbers in this sequence are divisible by 3?

A) 4  
B) 12  
C) 21  
D) 30  
E) 45

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