
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
Person A and Person B are competing in an archery match. In each round, the winner earns 7 points, the loser loses 2 points, and in case of a tie, both earn 2 points each. After 10 rounds, the total score for both people combined is 43 points. How many rounds ended in a tie?

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