
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
Vasya claims that the number of his friends who are good at mathematics is not less than 96.8% and not more than 97.6%. It is known that Vasya's number of friends does not exceed 150. Determine the largest number within the specified limits that cannot be the number of Vasya's friends.

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