
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
2012 students stand in a line and count off in order. If a student reports a single-digit number, the next student will report twice that number. If a student reports a two-digit number, the next student will report the units digit of that number plus 5. It is known that the first student reports 1, and when it comes to the 100th student, he adds another single-digit natural number to the number reported by the previous student. No one else notices and continues counting off according to the previous rules until the last student reports the number 5. What single-digit natural number did the 100th student add to the number reported by the previous student?

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