
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
Computers $1, 2, 3, \ldots, 100$ are connected in a ring (the first is connected to the second, the second to the third, ..., the hundredth to the first). Hackers have prepared 100 viruses, numbered them, and launch each virus at a computer having the same number at different times in arbitrary order. If a virus lands on an uninfected computer, it infects it and moves to the next computer in the chain with a higher number until it lands on an already infected computer (from computer 100, the virus moves to computer 1). Then the virus dies, and this computer is restored. No two viruses reach any computer at the same time. How many computers will be infected as a result of the attack by these 100 viruses?

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