
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 box of videotape can record 2 TV episodes plus a skit, or 2 skits plus 3 pop songs. A student plans to record 7 TV episodes, 11 skits, and 20 pop songs. What is the minimum number of videotape boxes needed to record all the programs? (Note: Each TV episode is of the same duration, each skit is of the same duration, and each song is of the same duration, with the duration of each skit being longer than that of each song.)

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