
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 right triangle has side lengths that are positive integers. One of the legs is 1575 units shorter than the hypotenuse, and the other leg is shorter than 1991 units. What is the length of the hypotenuse of this right triangle?

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