
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 four-digit integer has digits that sum up to 16. The sum of the two middle digits is ten, and the thousands digit minus the units digit is two. If the integer is divisible by 11, find the integer.

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