Answer: Maze 266

Here is the way through Maze 266. The orange line shows Beep’s route from the top-left corner to the battery.

The route as arrow code

Each arrow is a direction and each number is how many squares to move. The whole route is 108 moves long and has 69 turns.

→ 1  ↓ 1  → 2  ↑ 1  → 1  ↓ 2  → 1  ↑ 1  → 1  ↓ 1  → 2  ↓ 1  → 2  ↑ 1  ← 1  ↑ 1  ← 1  ↑ 1  → 2  ↓ 1  → 1  ↓ 2  → 1  ↓ 1  ← 2  ↓ 1  → 2  ↓ 2  ← 4  ↑ 2  ← 7  ↓ 1  ← 1  ↓ 2  → 1  ↑ 1  → 1  ↓ 2  → 1  ↑ 1  → 1  ↓ 2  ← 1  ↓ 2  → 1  ↑ 1  → 1  ↑ 4  ← 1  ↑ 1  → 3  ↓ 1  ← 1  ↓ 2  → 2  ↓ 2  ← 1  ↑ 1  ← 1  ↓ 2  → 4  ↑ 4  → 1  ↓ 1  → 1  ↓ 1  ← 1  ↓ 1  → 1  ↓ 1

Show the route step by step

1. Go right 1 square.
2. Go down 1 square.
3. Go right 2 squares.
4. Go up 1 square.
5. Go right 1 square.
6. Go down 2 squares.
7. Go right 1 square.
8. Go up 1 square.
9. Go right 1 square.
10. Go down 1 square.
11. Go right 2 squares.
12. Go down 1 square.
13. Go right 2 squares.
14. Go up 1 square.
15. Go left 1 square.
16. Go up 1 square.
17. Go left 1 square.
18. Go up 1 square.
19. Go right 2 squares.
20. Go down 1 square.
21. Go right 1 square.
22. Go down 2 squares.
23. Go right 1 square.
24. Go down 1 square.
25. Go left 2 squares.
26. Go down 1 square.
27. Go right 2 squares.
28. Go down 2 squares.
29. Go left 4 squares.
30. Go up 2 squares.
31. Go left 7 squares.
32. Go down 1 square.
33. Go left 1 square.
34. Go down 2 squares.
35. Go right 1 square.
36. Go up 1 square.
37. Go right 1 square.
38. Go down 2 squares.
39. Go right 1 square.
40. Go up 1 square.
41. Go right 1 square.
42. Go down 2 squares.
43. Go left 1 square.
44. Go down 2 squares.
45. Go right 1 square.
46. Go up 1 square.
47. Go right 1 square.
48. Go up 4 squares.
49. Go left 1 square.
50. Go up 1 square.
51. Go right 3 squares.
52. Go down 1 square.
53. Go left 1 square.
54. Go down 2 squares.
55. Go right 2 squares.
56. Go down 2 squares.
57. Go left 1 square.
58. Go up 1 square.
59. Go left 1 square.
60. Go down 2 squares.
61. Go right 4 squares.
62. Go up 4 squares.
63. Go right 1 square.
64. Go down 1 square.
65. Go right 1 square.
66. Go down 1 square.
67. Go left 1 square.
68. Go down 1 square.
69. Go right 1 square.
70. Go down 1 square.

Why is there only one way through?

This is a perfect maze. That means there is exactly one path between any two squares, with no loops. It was built by a program that wanders from square to square, knocking down walls as it goes, and backs up whenever it gets stuck. Programmers call that backing-up trick backtracking.

Because there are no loops, the path in the answer is the only way to get from the start to the goal.