
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
In a building, there are six households with the surnames Zhao, Qian, Sun, Li, Zhou, and Wu. These households subscribe to newspapers A, B, C, D, E, and F, with each household subscribing to at least one newspaper. It is known that Zhao, Qian, Sun, Li, and Zhou subscribe to 2, 2, 4, 3, and 5 newspapers respectively, while newspapers A, B, C, D, and E are subscribed to by 1, 4, 2, 2, and 2 households respectively. Determine the number of households subscribe to newspaper F in this building.

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