
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
Zan has modified his rule for generating sequences of whole numbers:

1) If a number is 30 or less, triple the number.

2) If a number is more than 30, subtract 15 from it.

Let $G$ be the first number in a sequence generated by the new rule above. $G$ is a "sweet number" if 18 is not a term in the sequence that starts with $G$. How many of the whole numbers 1 through 60 are "sweet numbers"?

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