
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
Mary participated in a mathematics competition with a new format consisting of 35 multiple-choice questions. She informed John that her score was over 90. Given this information, John could precisely determine the number of problems Mary solved correctly. However, if Mary's score had been any lower (while still over 90), John would not have been able to determine this. The scoring system awards 4 points for each correct answer and subtracts 1 point for each wrong answer, with no penalties for unanswered questions. Determine Mary's score in this competition.

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