
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 middle school holds a sports meeting, with participation by grade. There are three events: high jump, long jump, and 100m sprint, with the top three in each event receiving points: 5 points for first place, 3 points for second place, and 1 point for third place. It is known that the total scores of the seventh and eighth grades are equal, and they are tied for first place. Moreover, the number of students from the eighth grade who placed in the top three is twice that of the seventh grade. What is the total score of the ninth grade?

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