
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
Every week, based on listeners' SMS votes, the ten most popular songs are selected. It is known that: 1) the same set of songs in the same order is never selected two weeks in a row; 2) a song that has once dropped in the ranking does not climb up again. What is the maximum number of weeks that the same 10 songs can remain in the ranking?

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