In the standard model of TMs, the tape head moves can be: L (left), R (right), S (stay). Now, assuming we modify L to J, where J means that the tape head jumps to the left end of the tape. So the TM's new moves are: J (jump), R (right) and S (stay). Under this new model, the TM can no longer move one cell to the left. If you really want to move to the left, the only choice is to jump to the start of the tape. Let's assume this kind of TMs is known as jump-TMs. Show that any TM can be simulated by a jump-TM.