help me fix it$.$ we do not allowed to move aux$3$ direct to aux$2$

V$=($Start$,$ Al$,$ A$2,$ A$3,$ Dest$\}$ and

E $=\{($Start$,$ Dest$),($Dest$,$ Al$),($Al$.$Dest$),($Al$,$A$2),($A$2,$A$3),($A$3,$AI$).$

total$\_$moves $=0$

def move $($n$,$s$,$t$)$:

global total$\_$moves

total$\_$moves $\}\backslash$overline$\{\backslash$mp$\}=$

print$($f$"\{$total$\_$moves$)$: Move $\{$n$\}$ from $\{$s$\}$ to $($t$).")$

def MoveFoward$($n$,$start, target, aux$1,$ aux$2,$ aux$3)$:

if $($n$==1)$:

move $($n$,$start, target$)$

move $($n$,$target, auxl$)$

move $($n$,$ aux$1,$aux$2)$

move $($n$,$aux$2,$aux$3)$

if $($n$>=2)$:

MoveFoward$($n$-1,$ start, target, aux$1,$ aux$2,$ aux$3)$

move $($n$,$start, target$)$

move $($n$,$target, aux$1)$

move $($n$,$ aux$1,$aux$2)$

MoveBackward $($n$-1,$ aux$3,$ aux$2,$ aux$1,$ target$)$

move $($n$,$ aux$2,$ aux$3)$

MoveBackward$($n$-1,$target, aux$1,$aux$2,$aux$3)$

def MoveBackward $($n$,$ aux$3,$ aux$2,$ aux$1,$ target$)$:

if $($n$==1)$:

move $($n$,$ aux$3,$ aux$2)$

move $($n$,$ aux$2,$ aux$1)$

move $($n$,$ aux$1,$ target$)$

if $($n$>=2)$:

MoveBackward$($n$-1,$aux$3,$ aux$2,$ aux$1,$ target$)$

move $($n$,$aux$3,$ aux$2)$

move $($n$,$aux$2,$aux$1)$

MoveBackward$($n$-1,$ target, aux$1,$ aux$2,$ aux$3)$

move $($n$,$ aux$1,$ target$)$

MoveBackward$($n$-1,$aux$3,$ aux$2,$ aux$1,$ target$)$

def HanoiMain $($n$,$ start, target,aux$1,$aux$2,$aux$3)$:

if $($n$==1)$

move $($n$,$ start, target$)$

if $($n$>=2)$:

MoveFoward$($n$-1,$start, target, aux$1,$aux$2,$aux$3)$

move $($n$,$start, target$)$

MoveBackward$($n$-1,$ aux$3,$ aux$2,$ aux$1,$ target$)$

Number$\_$of$\_$pegs $=$ int$($input$(\text{'}$What is the number of disk: $\text{'}))$

HanoiM$$in$($Number$\_$of$\_$pegs,'start','dest',$\text{'}$al$\text{'},\text{'}$a$2\text{'},\text{'}$a$3\text{'})$