
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 seven-digit number is "ultra-squarish" if it satisfies these conditions: 
(i) none of its digits are zero;
(ii) it is a perfect square; and
(iii) the first three digits, the middle two digits, and the last two digits of the number are all perfect squares when considered separately.
How many ultra-squarish numbers are there?
A) 0
B) 1
C) 2
D) 3
E) 4

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