
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
This year is 2014. The number 2014 is not a perfect square, but its digits can be rearranged to form a new four-digit number that is a perfect square. For example, \(1024 = 32^2\). Given that using the digits \(2, 0, 1, 4\) exactly once can form another four-digit perfect square, find this new four-digit perfect square.

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