
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 natural number \( N \) greater than 10 is called a "super square" if the number formed by each two consecutive digits of \( N \) (considered in the same order) is always a perfect square. For example, 8164 is a "super square" because the numbers 81, 16, and 64 are perfect squares. Other examples of super squares are 25 and 649.

a) How many "super square" numbers exist?

b) What is the largest "super square" number?

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