
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 environmental protection, Wuyang Mineral Water recycles empty bottles. Consumers can exchange 4 empty bottles for 1 bottle of mineral water (if there are fewer than 4 empty bottles, they cannot be exchanged). Huacheng Middle School bought 1999 bottles of Wuyang brand mineral water. If they exchange the empty bottles for new bottles of water as much as possible, then the teachers and students of Huacheng Middle School can drink a total of     bottles of mineral water; conversely, if they can drink a total of 3126 bottles of mineral water, then they originally bought     bottles of mineral water.

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