
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 chameleon repeatedly rests and then catches a fly. The first rest is for a period of 1 minute. The rest before catching the $2n$-th fly is the same as the rest before catching the $n$-th fly. The rest before catching the $(2n+1)$-th fly is 1 minute more than the rest before catching the $2n$-th fly.

1. How many flies does the chameleon catch before his first rest of 9 minutes?
2. How many minutes (in total) does the chameleon rest before catching fly 98?
3. How many flies has the chameleon caught after 1999 total minutes of rest?



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