
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 regular tetrahedron \(P Q R S\) has ten numbers written on its four vertices and six edges. These ten numbers are \(1, 2, 3, 4, 5, 6, 7, 8, 9, 11\). Each number is used exactly once, where the number on each edge represents the sum of the two numbers at its endpoints. The number on edge \(P Q\) is 9. Then the number on edge \(R S\) is \(\quad\).

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