
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
The Imperial Examination System originated in the Sui Dynasty, was established in the Tang Dynasty, and was perfected in the Song and Yuan Dynasties. The Ming Dynasty was at the peak of its development. One of the manifestations was the recruitment of candidates in the examinations in the South, North, and Middle volumes according to a certain proportion, which was 11:7:2. If 100 people were admitted in the examination of the fifth year of the Ming Xuande period, then the number of people admitted in the Middle volume was ___.

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