
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
An auditorium with $25$ rows of seats has $12$ seats in the first row. Each succeeding row has two more seats than the row before it. If during an exam students are allowed to sit in any row but at least one seat must remain empty between two students, what is the maximum number of students that can be seated?
A) 420
B) 450
C) 500
D) 550
E) 600

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