
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
There are 51 students taking a test with 6 multiple-choice questions. Each student starts with 6 points, with 4 points added for each correct answer, 1 point deducted for each incorrect answer, and no change in points for unanswered questions. Determine the minimum number of students who will have the same score.

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