
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
There are three positive integers: large, medium, and small. The sum of the large and medium numbers equals 2003, and the difference between the medium and small numbers equals 1000. What is the sum of these three positive integers?

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