
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
Ana multiplies two positive integers whose difference is 202 but makes a mistake and gets a number that is 1000 units less than the correct result. When dividing Ana's result by the smaller of the two numbers she should have multiplied, the quotient is 288 and the remainder is 67. What are the two numbers that Ana multiplied?

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