The following ciphertext was obtained by XORing an LFSR output with the plaintext$\mathrm{.}0,1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0,1,1,0,0,0,1,0,1,0,0,0,1,1,1,0,1,0,1105107113114117118118119122$Suppose you know the plaintext starts$1,0,0,1,0,0,1,0,0,1,0,0,1,0,0$Find the plaintext.