
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
Martina devised a method to generate a numerical sequence. She started with the number 52. From it, she derived the next term in the sequence as follows: \(2^{2} + 2 \cdot 5 = 4 + 10 = 14\). Then she continued in the same way and from the number 14 determined \(4^{2} + 2 \cdot 1 = 16 + 2 = 18\). She always takes a number, removes the digit in the units place, squares this removed digit, and adds twice the remaining number that was left after removing the last digit. What is the 2011th number in this resulting sequence?

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