
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
During the sports meet held by a school, a total of 26 students from Class 1, Grade 1 participated in the competitions. Among them, 15 students participated in the swimming competition, 8 in the track and field competition, and 14 in the ball games. There were 3 students who participated in both the swimming and track and field competitions, and 3 students who participated in both the swimming and ball games. No one participated in all three competitions. How many students participated in both the ball games and the track and field competitions?

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