Question

Кодовой замок имеет шесть кнопок A B C D E F. Открытие замуа осуществляется при последовательном нажатии кнопок D,A и F Составить таблицу переходов и граф. Помогите с задачей пожалуйста

Answer 1

1) c d e f
2) c d f e
3) c e d f
4) c e d f.
5) c f d e
6) c f e d
7) d c e f
8) d c f e Нужны еще варианты?

Answer 2

Code Lock Transition Table and Graph

To solve this problem, we need to create a transition table and a graph to represent the code lock's behavior. The transition table will show the possible transitions between states when buttons are pressed, and the graph will provide a visual representation of these transitions.

Let's start by creating the transition table:

| Current State | Button Pressed | Next State | |---------------|----------------|------------| | A | D | B | | A | A | A | | A | F | G | | B | D | C | | B | A | A | | B | F | G | | C | D | D | | C | A | A | | C | F | G | | D | D | D | | D | A | A | | D | F | G | | E | D | E | | E | A | A | | E | F | G | | F | D | F | | F | A | A | | F | F | G | | G | D | G | | G | A | A | | G | F | G |

Now, let's create a graph to visualize the transitions:

A --D--> B --D--> C --D--> D --D--> D
|   |    |   |    |   |    |   |    |
A <-A--  A <-A--  A <-A--  A <-A--  A
|   |    |   |    |   |    |   |    |
G --F--> G --F--> G --F--> G --F--> G
|   |    |   |    |   |    |   |    |
E --D--> E --D--> E --D--> E --D--> E

In this graph, each node represents a state, and the directed edges represent the transitions when a button is pressed. The starting state is A, and the code lock is opened when the sequence D, A, F is entered, leading to state G.

To summarize: - The code lock has six buttons: A, B, C, D, E, and F. - The lock is opened by sequentially pressing the buttons D, A, and F. - The transition table and graph show the possible transitions between states when buttons are pressed. - The starting state is A, and the lock is opened when the sequence D, A, F is entered, leading to state G.

I hope this helps! Let me know if you have any further questions.