
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 city has \( n \) schools, and the \( i \)-th school sends \( C_{i} \) students \( \left(1 \leqslant C_{i} \leqslant 39, 1 \leqslant i \leqslant n\right) \) to watch a game in an auditorium. The total number of students from all schools is \( \sum_{i=1}^{n} C_{i} = 1990 \). Each row of seats in the stand has 199 seats. It is required that all students from the same school must sit in the same row. What is the minimum number of rows needed to ensure that all students can be seated?

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