
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
For a natural number $n$, if there exist natural numbers $a$ and $b$ such that $n = a + b + ab$, then $n$ is called a "good number". For example, $3 = 1 + 1 + 1 \times 1$, so $3$ is a "good number". Among the natural numbers from $1$ to $100$, how many are "good numbers"?

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