
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
Students A, B, and C are running for the president of the student council at their school. During the election, 1500 valid votes were received, and the results of the first 1000 votes were as follows: A received 350 votes, B received 370 votes, and C received 280 votes. To ensure that A wins the election with the most votes, how many of the remaining 500 votes must A receive at a minimum?

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