
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
From June 1 to June 6, a group of students is standing in different configurations such that the number of students per row changes each day, following unique divisors of the total number of students. On June 1, they stand in 18 students per row, and each subsequent day the arrangement ensures all students are perfectly accommodated in rows. By June 7, they find that they can't devise a new unique way of formation based on different divisor count. Determine the smallest possible total number of students considering these constraints.
A) 54
B) 72
C) 108
D) 216

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