
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) Find the smallest square with the last digit not 0 which becomes another square (not zero) by the deletion of its last two digits.

(b) Find all squares, not containing the digits 0 or 5, such that if the second digit is deleted, the resulting number divides the original one.

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