
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 four vertices of a regular tetrahedron \( PQRS \) and its six edges each have a number written on them, totaling 10 numbers. These 10 numbers are \( 1, 2, 3, 4, 5, 6, 7, 8, 9, \) and \( 11 \). Each number is used exactly once. The number on each edge represents the sum of the numbers on its connecting vertices. The number on edge \( PQ \) is 9. What is the number on edge \( RS \)?

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