# Given input x$,$ your TM will output x times $3,$ i$.$e$.,3$x$.$

input $="111"$;

blank $=""$;

start $=$ q$0$;

accept $=$ qf;

$-$q$01[$x$,$ r$,$ q$1]$ # Mark first $1$ as x

x $[$x$,$ r$,$ q$0]$ # Skip already marked

y $[$y$,$ r$,$ q$0]$ # If we hit y$,$ go back to start

$""["",$ l$,$ q$3]$; # If blank, go back to start

$-$q$11[1,$ r$,$ q$1]$ # Move right past remaining $1$s

x $[$x$,$ r$,$ q$1]$ # Skip any x

y $[$y$,$ r$,$ q$1]$ # Skip any y

$""[$y$,$ l$,$ q$2]$; # At blank, mark y and go back

$-$q$21[1,$ l$,$ q$2]$ # Move left through unmarked $1$s

x $[$x$,$ l$,$ q$2]$ # Move left through marked x

y $[$y$,$ l$,$ q$2]$ # Skip any y while moving left

$""["",$ r$,$ q$0]$; # At start, go back to q$0$ for next pass

$-$q$31[1,$ l$,$ q$3]$ # Move left over $1$s

x $[$x$,$ l$,$ q$3]$ # Move left over x

y $[$y$,$ l$,$ q$3]$ # Move left over y

$""["",$ r$,$ q$4]$; # At start, begin left$-$to$-$right conversion

$-$q$4$ x $[1,$ r$,$ q$4]$ # Convert x to $1$ going right

y $[1,$ r$,$ q$4]$ # Convert y to $1$ going right

$1[1,$ r$,$ q$4]$ # Keep $1$s moving right

$""["",$ r$,$ qf$]$; # When done, finish

$-$qf;

correct it$,$ if its not good, fix it please?