Consider a binary digital combination lock. As shown in Figure below, on its keypad are two number buttons "0" and "1" and a reset button R. The length of the lock code is 6. Assume that the code is 101101. Whenever the lock detects such an input sequence, it is unlocked. For example, any one of the following binary sequences will unlock it: 101101 0101101 011010101101 1110001101101101 At any time, a press on the reset button will take the lock to its initial state. The lock enters its final state when the sequence of the code is detected. Design a state transition diagram for this lock.