
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
The following numbers are written on a wall: \(1, 3, 4, 6, 8, 9, 11, 12, 16\). Four of these numbers were written by Vova, four were written by Dima, and one of the numbers is the house number of the local police officer. The officer discovered that the sum of the numbers written by Vova is three times the sum of the numbers written by Dima. Calculate the house number.

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