
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
The sum of the first two digits of a four-digit number is equal to the sum of the last two digits. The sum of the first and the last digits equals the third digit. The sum of the second and fourth digits is twice the sum of the first and third digits. What is this four-digit number?

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