<|im_start|>system
You are a helpful assistant. You first think about the reasoning process in the mind and then provide the user with the answer. You should try to truely solve the question by yourself without cheating.  <|im_end|>
<|im_start|>user
 Given a game where two students, A and B, take turns drawing balls without replacement, with each draw being between 1 and 3 balls, and the person who draws the last ball wins, find a value of n (the total number of balls) for which A has a winning strategy, assuming A goes first. Express your answer as a single value of n. Show your work in <think> </think> tags. And return the final answer in <answer> </answer> tags.<|im_end|>
<|im_start|>assistant
Let me solve this step by step.
<think>
user
9
Given a game where two students, A and B, take turns drawing balls without replacement, with each draw being between 1 and 3 balls, and the person who draws the last ball wins, find a value of n (the total number of balls) for which A has a winning strategy, assuming A goes first. Express your answer as a single value of n.
test