
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
Fill the six numbers $1, 3, 5, 7, 9, 11$ into the circles in the given diagram (each circle contains one number) so that the sum of the three numbers on each side equals 19. Then, find the sum of the three numbers in the circles that form the vertices of the triangle.

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