ring, 114 bytes

Result

AC

Duration

941ms

Code [DL]

give s?s p=substr(s,"T")while 1 give t q=substr(t,"K")if q see copy(" ",q-1)see 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               
11111111111111111111111111111111111

stderr

strace