DES is based on Feistel network. Let$$s assume that we are using a MODIFIED VERSION of DES that takes $8-$bit data block as an input and has only $2$ rounds without initial and final permutations. Also assume that a modified mangler function for round i in Feistel network is used in Feistel network; and the function is defined as fi$($x$,$ K$)=((9+$i$)$ K$)$x mod $15$ where x and K are $4-$bit plaintext block to the function and key, respectively and i $=1,2.$ If the key K$=3($for both rounds$)$ and ciphertext is $10011110,$ what is plaintext?