
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
In an admission exam with 1000 participants and an average score of 55 points, 200 people were admitted. The average score of the admitted group differs from the average score of the non-admitted group by 60 points. The admission cutoff score is 4 points less than the average score of the admitted group. What is the cutoff score in points?

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