 Solution

First recode the labels as $y_i=2Y_i-1\in \{-1,1\}$; with labels $0$ and $1$, the displayed constraints for class zero can never hold. Add an unpenalized intercept $b$ so that the separating hyperplane need not pass through the origin, and solveCentering and scaling predictor columns is also advisable because the Euclidean penalty depends on their units.