I would like to change this dataset
Date    A1  A2  A3  B1  B2  B3
1.4.04  5   1   2   10  13  4
2.4.04  2   2   0   11  12  5
3.4.04  4   4   3   14  15  8
to something like this
Date    A   B   C
1.4.04  5   10  1
1.4.04  1   13  2
1.4.04  2   4   3
2.4.04  2   11  1
2.4.04  2   12  2
2.4.04  0   5   3
3.4.04  4   14  1
3.4.04  4   15  2
3.4.04  3   8   3
Columns A1 to A3 are measurements from different stations and I want to put them in one column. The same for B. Column C will be the number of stations. How to do it in R?
Here is a reproducible example of the data.frame:
mydf <- structure(
  list(Date = structure(1:3, .Label = c("1.4.04", "2.4.04",  "3.4.04"), 
                        class = "factor"), 
       A1 = c(5L, 2L, 4L), A2 = c(1L,  2L, 4L), A3 = c(2L, 0L, 3L), 
       B1 = c(10L, 11L, 14L), B2 = c(13L,  12L, 15L), B3 = c(4L, 5L, 8L)), 
  .Names = c("Date", "A1", "A2",  "A3", "B1", "B2", "B3"), 
  row.names = c(NA, 3L), class = "data.frame")
 
     
    