
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
In a school of 100 students, 39 participated in a Chinese competition, 49 participated in a Math competition, and 41 participated in an English competition. Fourteen students participated in both the Chinese and Math competitions, thirteen participated in both the Math and English competitions, nine participated in both the Chinese and English competitions, and 1 student did not participate in any competition. Calculate the number of students who participated in all three competitions.

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