
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
Starting with the number 1, Nina repeatedly multiplies her number by 3 and then takes the greatest integer less than or equal to that number. If her number exceeds 100, she resumes by dividing by 2 each time and taking the greatest integer until her number becomes 1 or less. How many times must she multiply and divide in total before her number is 1 or less?

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