Вопрос:

The robot is in a narrow corridor. How many cells will it paint and in which cell will it stop after executing the program?

Смотреть решения всех заданий с листа

Ответ:

Resolution:

  • The program instructs the robot to repeat the sequence of actions 7 times.
  • The sequence of actions consists of moving right twice (`move_right`, `move_right`) and then filling the current cell (`fill_cell`).
  • Therefore, in each of the 7 repetitions, the robot moves right twice and fills the cell it is currently in.
  • After the first repetition: The robot moves right twice and fills the cell it is in. It has painted 1 cell.
  • After the second repetition: The robot moves right twice more and fills the cell it is in. It has painted 2 cells in total.
  • This pattern continues for all 7 repetitions.
  • In each repetition, the robot fills the cell it lands on *after* the two 'move_right' commands.
  • Total moves to the right: 7 repetitions * 2 moves/repetition = 14 moves to the right.
  • Total cells filled: 7 cells (one in each repetition).
  • The robot starts in a cell, then moves right twice, then fills. This means it fills the cell it lands on after the second move. So, it will fill 7 cells in total.
  • To determine the final cell:
    • Start: Cell 0
    • After 1st `move_right`: Cell 1
    • After 2nd `move_right`: Cell 2
    • `fill_cell`: Cell 2 is filled.
    • After 3rd `move_right`: Cell 3
    • After 4th `move_right`: Cell 4
    • `fill_cell`: Cell 4 is filled.
    • After 5th `move_right`: Cell 5
    • After 6th `move_right`: Cell 6
    • `fill_cell`: Cell 6 is filled.
    • After 7th `move_right`: Cell 7
    • After 8th `move_right`: Cell 8
    • `fill_cell`: Cell 8 is filled.
  • The robot performs 2 `move_right` operations per loop. So, after 7 loops, it will have moved right 14 times from its starting position (assuming it starts at position 0).
  • The `fill_cell` operation happens after the two `move_right` operations within each loop.
  • Let's trace the position and filled cells:
    • Initial position: 0
    • Loop 1: move_right (1), move_right (2), fill_cell (cell 2 painted). Current position: 2
    • Loop 2: move_right (3), move_right (4), fill_cell (cell 4 painted). Current position: 4
    • Loop 3: move_right (5), move_right (6), fill_cell (cell 6 painted). Current position: 6
    • Loop 4: move_right (7), move_right (8), fill_cell (cell 8 painted). Current position: 8
    • Loop 5: move_right (9), move_right (10), fill_cell (cell 10 painted). Current position: 10
    • Loop 6: move_right (11), move_right (12), fill_cell (cell 12 painted). Current position: 12
    • Loop 7: move_right (13), move_right (14), fill_cell (cell 14 painted). Current position: 14
  • The robot will paint 7 cells.
  • The robot will stop at cell 14.

Ответ: Робот закрасит 7 клеток и остановится в 14-й клетке.

ГДЗ по фото 📸