
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. During the election, 1500 valid votes were received, and the results of 1000 of these 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