
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 a math competition, there are 8 fill-in-the-blank questions worth 4 points each if answered correctly, and 6 short-answer questions worth 7 points each if answered correctly. If 400 people participated in the competition, what is the minimum number of people who have the same total score?

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