$1.$Compress the following data using RLE compression. $00011110000000111111$ Some data was recorded from a sequence of inputs that were used to control a robot moving around a maze. The data has been compressed using run$-$length encoding. The frequency$/$data pairs from the compressed data are shown below:

W $2$N $3$E $1$S $3$N $4$W $1$S $1$W $2.2.$Using the compressed data above, state the original sequence of inputs.