
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
Given a set of tiles numbered 1 through 144, determine how many times the operation of removing tiles with perfect square numbers and renumbering the remaining tiles must be performed to reduce the number of tiles in the set to one.

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