Suppose you have trained a perceptron algorithm on a binary classification problem using the following dataset:

X$1$ X$2$ Y

$-1-11$

$0\mathrm{.}5-0\mathrm{.}51$

$10\mathrm{.}50$

$-0\mathrm{.}510$

After training, the decision boundary of the perceptron is a straight line passing through the origin that separates the positive and negative examples. The activation function is $($if v$>=0,$ y$=1$; else y$=0).$ Which of the following options represents the trained weights of this perceptron?

$$ w$0=0,$ w$1=1,$ and w$2=2$

$$ w$0=0,$ w$1=-1,$ and w$2=-2$

$$ wo$=1$ w$1=-1,$ and w$2=-2$

$$ w$0=1,$ w$1=1,$ and w$2=2$