
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 set of tiles numbered from 1 to 121 is modified by repeatedly performing the following operation: remove all tiles numbered with a perfect square and renumber the remaining tiles starting with 1. What is the number of times this operation should be applied to reduce the number of tiles in the set below the smallest perfect square that can be formed within the set post removal?
A) 9
B) 10
C) 11
D) 12
E) 13

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