
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 city's middle school math competition, there are four schools participating: A, B, C, and D. Schools A and B together have 16 contestants, schools B and C together have 20 contestants, and schools C and D together have 34 contestants. Moreover, the number of contestants from each school is in ascending order from school A to D. Find the number of contestants from each school.

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