
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
Find the smallest positive number that, when divided by 11, leaves a remainder of 10, when divided by 10 leaves a remainder of 9, down to when divided by 2, leaves a remainder of 1, and is also a perfect square.
A) 27719
B) 1391280
C) 2782559
D) 5564400
E) None of these

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