
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
Hefei Shouchun Middle School and Hefei Binhu Shouchun Middle School are the two core educational institutions under the Hefei Shouchun education brand, and they are recruiting students simultaneously this year. They plan to recruit a total of 45 classes with 1800 students for the first year of junior high. Hefei Shouchun Middle School only recruits small classes, while Hefei Binhu Shouchun Middle School recruits both small and large classes, with the number of small classes being twice that of large classes. Each small class has 36 students, and each large class has between 70 and 75 students. How many classes are each school planning to recruit?

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