Write a program $($FeistelEncryption$.$asm$)$ in HACK assembly, that implements the described Feistel encryption system. The initial key, K$0,$ will be stored in RAM$[1],$ and the plaintext to be encrypted will be represented by a $16-$bit value stored in RAM$[2].$ The result of the encryption should be stored in RAM$[0].$ Why does this code not work? When i run it$,$ with tests where ram $0,1$ and $2$ are all $0,$ the required output is $255,$ but i get $0$ as the output. Please explain why it doesnt work and how i can fix it$.$ THank you

$//$ FeistelEncryption.asm

$//$ Function to perform Feistel encryption

$//$ Load plaintext into registers

@$2$

D$=$M

$//$ Load key into registers

@$1$

D$=$M

$//$ Perform Feistel rounds

@$0$

D$=$A

$($LOOP$)$

$//$ Perform Feistel round $1$

$//$ Extract left and right halves of plaintext

@$0$

D$=$A

@D

A$=$D$+$A

D$=$M

@$1$

M$=$D $//$ Store L$0$ in R$1$

@$1$

D$=$M

@$1$

A$=$M

D$=$D$-$M

@$0$

A$=$M

M$=$D $//$ Store F$($R$0,$ K$0)$ in RAM$[0]$

$//$ Perform Feistel round $2$

@$1$

D$=$M

@$2$

M$=$D $//$ Store R$1$ in R$2$

@$2$

D$=$M

@$2$

A$=$M

D$=$D$-$M

@$0$

A$=$M

M$=$D $//$ Store F$($R$1,$ K$1)$ in RAM$[0]$

$//$ Perform Feistel round $3$

@$2$

D$=$M

@$3$

M$=$D $//$ Store R$2$ in R$3$

@$3$

D$=$M

@$3$

A$=$M

D$=$D$-$M

@$0$

A$=$M

M$=$D $//$ Store F$($R$2,$ K$2)$ in RAM$[0]$

$//$ Perform Feistel round $4$

@$3$

D$=$M

@$0$

M$=$D $//$ Store R$3$ in R$0$

@$0$

D$=$M

@$0$

A$=$M

D$=$D$-$M

@$0$

A$=$M

M$=$D $//$ Store F$($R$3,$ K$3)$ in RAM$[0]$

$//$ End of loop

@LOOP

D;JLT

$//$ End of program

$($END$)$

@END

$0$;JMP