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set.seed(1)
x <- matrix(rnorm(200 * 2), ncol = 2)
x[1:100,] <- x[1:100,] + 2
x[101:150,] <- x[101:150,] - 2
y <- c(rep(1, 150), rep(2, 50))
dat <- data.frame(x = x, y = as.factor(y))
train <- sample(200, 100)