
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
Eight students sequentially say numbers in a specific pattern from 1 to 500 with the final student saying only the remaining unsaid number. The first student, Adam, skips the second number in every set of three consecutive numbers he must say, beginning with 1. Thus, he would say 1, 3, 4, 6, 7, etc., and skips 2, 5, 8, etc. Each subsequent student, up to the seventh, says numbers not said by any previous student while also skipping the middle number they would have said in each set of three numbers. With eight students total, the last student, Harry, claims the leftover number. Identify the number Harry says.
A) 297
B) 299
C) 301
D) 303
E) 305

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