You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.
system
<image>Suppose you are given the below data, and you want to apply a logistic regression model for classifying it into two given classes.<image 1>You are using logistic regression with L1 regularization.<image 2>Where C is the regularization parameter, and w1 & w2 are the coefficients of x1 and x2.Which of the following option is correct when you increase the value of C from zero to a very large value?
A. First, w2 becomes zero, and then w1 becomes zero
B. First, w1 becomes zero, and then w2 becomes zero
C. Both become zero at the same time
D. Both cannot be zero even after a very large value of C

Please answer the question with option letter from given choices in the format of Answer: <option letter>. You FIRST think about the reasoning process as an internal monologue and then provide the final answer. The reasoning process MUST BE enclosed within <think> </think> tags. Please answer the final answer within the <answer> </answer> tags.
user
B
Suppose you are given the below data, and you want to apply a logistic regression model for classifying it into two given classes.<image 1>You are using logistic regression with L1 regularization.<image 2>Where C is the regularization parameter, and w1 & w2 are the coefficients of x1 and x2.Which of the following option is correct when you increase the value of C from zero to a very large value?
A. First, w2 becomes zero, and then w1 becomes zero
B. First, w1 becomes zero, and then w2 becomes zero
C. Both become zero at the same time
D. Both cannot be zero even after a very large value of C

Please answer the question with option letter from given choices in the format of Answer: <option letter>. You FIRST think about the reasoning process as an internal monologue and then provide the final answer. The reasoning process MUST BE enclosed within <think> </think> tags. Please answer the final answer within the <answer> </answer> tags.
val