
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
Class 8 of Grade 9 has a remaining class fund of $m$ yuan ($m$ is an integer less than 400), and plans to buy one photo album for each student. A certain wholesale and retail stationery store stipulates that purchases of 50 albums or more can be sold at wholesale price, while purchases of fewer than 50 albums will be sold at retail price. The wholesale price is 2 yuan cheaper per album than the retail price. If the class leader buys one album for each student, exactly $m$ yuan will be spent; however, if 12 more albums are bought for the teachers, they can be settled at the wholesale price, also exactly costing $m$ yuan. How many students are there in the class? What is the retail price of each album?

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