ring, 111 bytes

Result

AC

Duration

721ms

Code [DL]

give s?s p=substr(s,"T")while 1 give t q=substr(t,"K")if q see copy(" ",q-1)+copy("1",p-q)?1 exit else?s ok end

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    
  11111111111111111111111111111111111111111111

stderr

strace