Write a for loop to create 5 randomly generated dataframes of length 100,200,500,800, and 1000, and print each of the dataframes

I've been trying to work through this small R prompt, but can't figure out what I'm doing wrong. I haven't used R in a few years, so I'm trying to get back into the flow of things. Here's my code:

y <- 5
loopValues <- c(100,200,500,800,1000)
dataframesq3 <- vector("list", y)

for (i in 1:y) {
  for (j in loopValues){
    dataframesq3[[i]] <- data.frame(replicate(10,sample(0:1,j,rep=TRUE)))
    }   
}

print(dataframesq3)

Currently, I get 5 data frames with 10 columns each and 1000 rows each instead of one of reach of the 5 above links.