ocaml, 150 bytes

Result

AC

Duration

761ms

Code [DL]

open String
let rec r s=let t=read_line()in s^"
"^try let p=index t 'K'in make p ' '^make(index s 'T'-p+1)'*'with _->r s;;print_string(r(read_line()))

stdin

                T                                 
                                                  
                                                  
                                                  
                                                  
                                                  
                                                  
                                                  
                                                  
                                                  
                                                  
                                                  
                                                  
                                                  
                                                  
                                                  
                                                  
                                                  
                                                  
                                                  
                                                  
                                                  
                                                  
                                                  
                                                  
                                                  
                                                  
                                                  
                                                  
                                                  
                                                  
                                                  
                                                  
                                                  
                                                  
                                                  
                                                  
                                                  
                                                  
                                                  
                                                  
                                                  
                                                  
                                                  
                                                  
                                                  
                                                  
                                                  
                                                  
        K                                         

stdout

                T                                 
                T                                 
                T                                 
                T                                 
                T                                 
                T                                 
                T                                 
                T                                 
                T                                 
                T                                 
                T                                 
                T                                 
                T                                 
                T                                 
                T                                 
                T                                 
                T                                 
                T                                 
                T                                 
                T                                 
                T                                 
                T                                 
                T                                 
                T                                 
                T                                 
                T                                 
                T                                 
                T                                 
                T                                 
                T                                 
                T                                 
                T                                 
                T                                 
                T                                 
                T                                 
                T                                 
                T                                 
                T                                 
                T                                 
                T                                 
                T                                 
                T                                 
                T                                 
                T                                 
                T                                 
                T                                 
                T                                 
                T                                 
                T                                 
        *********

stderr

strace