Here is the way through Maze 410. The orange line shows Beep’s route from the top-left corner to the gold star.

The route as arrow code
Each arrow is a direction and each number is how many squares to move. The whole route is 334 moves long and has 198 turns.
↓ 1 → 1 ↑ 1 → 11 ↓ 1 ← 1 ↓ 2 → 2 ↓ 2 ← 1 ↑ 1 ← 1 ↓ 1 ← 1 ↑ 4 ← 3 ↓ 3 ← 3 ↓ 2 ← 1 ↓ 2 → 1 ↑ 1 → 1 ↑ 2 → 1 ↓ 1 → 1 ↑ 1 → 1 ↑ 1 → 1 ↓ 2 → 1 ↓ 2 → 4 ↑ 2 → 1 ↑ 1 → 2 ↓ 3 → 2 ↑ 1 ← 1 ↑ 1 → 2 ↑ 1 → 3 ↑ 1 ← 3 ↑ 3 → 1 ↑ 1 → 2 ↓ 1 → 1 ↓ 6 ← 1 ↓ 2 ← 3 ↓ 1 ← 3 ↑ 1 ← 7 ↓ 2 ← 1 ↑ 1 ← 1 ↑ 2 → 1 ↑ 1 ← 3 ↓ 4 ← 1 ↑ 1 ← 2 ↑ 1 ← 1 ↓ 3 ← 1 ↓ 1 ← 1 ↓ 5 → 1 ↓ 1 ← 1 ↓ 1 → 5 ↓ 1 ← 3 ↓ 1 ← 1 ↑ 1 ← 1 ↓ 3 → 4 ↑ 2 → 2 ↑ 2 → 1 ↓ 4 → 2 ↑ 1 → 1 ↑ 1 → 1 ↓ 1 → 1 ↓ 1 → 2 ↑ 1 ← 1 ↑ 2 ← 2 ↑ 1 ← 3 ↑ 1 → 2 ↑ 1 → 1 ↑ 1 → 1 ↑ 3 → 3 ↑ 1 ← 1 ↑ 1 ← 2 ↑ 1 ← 1 ↑ 1 → 5 ↓ 1 → 1 ↓ 1 ← 1 ↓ 1 → 1 ↓ 1 ← 1 ↓ 1 ← 3 ↓ 3 → 1 ↑ 1 → 2 ↓ 2 ← 1 ↓ 2 → 2 ↑ 1 → 3 ↑ 1 → 2 ↑ 2 ← 3 ↓ 2 ← 1 ↑ 1 ← 1 ↑ 1 → 1 ↑ 2 → 1 ↓ 1 → 1 ↑ 1 → 1 ↓ 1 → 1 ↑ 2 → 1 ↑ 1 ← 2 ↓ 1 ← 2 ↑ 1 → 1 ↑ 1 ← 2 ↑ 1 → 3 ↓ 1 → 1 ↑ 1 → 1 ↓ 1 → 1 ↓ 3 ← 1 ↓ 4 → 1 ↓ 1 ← 2 ↓ 1 → 1 ↓ 2 → 1 ↓ 1
Show the route step by step
- Go down 1 square.
- Go right 1 square.
- Go up 1 square.
- Go right 11 squares.
- Go down 1 square.
- Go left 1 square.
- Go down 2 squares.
- Go right 2 squares.
- Go down 2 squares.
- Go left 1 square.
- Go up 1 square.
- Go left 1 square.
- Go down 1 square.
- Go left 1 square.
- Go up 4 squares.
- Go left 3 squares.
- Go down 3 squares.
- Go left 3 squares.
- Go down 2 squares.
- Go left 1 square.
- Go down 2 squares.
- Go right 1 square.
- Go up 1 square.
- Go right 1 square.
- Go up 2 squares.
- Go right 1 square.
- Go down 1 square.
- Go right 1 square.
- Go up 1 square.
- Go right 1 square.
- Go up 1 square.
- Go right 1 square.
- Go down 2 squares.
- Go right 1 square.
- Go down 2 squares.
- Go right 4 squares.
- Go up 2 squares.
- Go right 1 square.
- Go up 1 square.
- Go right 2 squares.
- Go down 3 squares.
- Go right 2 squares.
- Go up 1 square.
- Go left 1 square.
- Go up 1 square.
- Go right 2 squares.
- Go up 1 square.
- Go right 3 squares.
- Go up 1 square.
- Go left 3 squares.
- Go up 3 squares.
- Go right 1 square.
- Go up 1 square.
- Go right 2 squares.
- Go down 1 square.
- Go right 1 square.
- Go down 6 squares.
- Go left 1 square.
- Go down 2 squares.
- Go left 3 squares.
- Go down 1 square.
- Go left 3 squares.
- Go up 1 square.
- Go left 7 squares.
- Go down 2 squares.
- Go left 1 square.
- Go up 1 square.
- Go left 1 square.
- Go up 2 squares.
- Go right 1 square.
- Go up 1 square.
- Go left 3 squares.
- Go down 4 squares.
- Go left 1 square.
- Go up 1 square.
- Go left 2 squares.
- Go up 1 square.
- Go left 1 square.
- Go down 3 squares.
- Go left 1 square.
- Go down 1 square.
- Go left 1 square.
- Go down 5 squares.
- Go right 1 square.
- Go down 1 square.
- Go left 1 square.
- Go down 1 square.
- Go right 5 squares.
- Go down 1 square.
- Go left 3 squares.
- Go down 1 square.
- Go left 1 square.
- Go up 1 square.
- Go left 1 square.
- Go down 3 squares.
- Go right 4 squares.
- Go up 2 squares.
- Go right 2 squares.
- Go up 2 squares.
- Go right 1 square.
- Go down 4 squares.
- Go right 2 squares.
- Go up 1 square.
- Go right 1 square.
- Go up 1 square.
- Go right 1 square.
- Go down 1 square.
- Go right 1 square.
- Go down 1 square.
- Go right 2 squares.
- Go up 1 square.
- Go left 1 square.
- Go up 2 squares.
- Go left 2 squares.
- Go up 1 square.
- Go left 3 squares.
- Go up 1 square.
- Go right 2 squares.
- Go up 1 square.
- Go right 1 square.
- Go up 1 square.
- Go right 1 square.
- Go up 3 squares.
- Go right 3 squares.
- Go up 1 square.
- Go left 1 square.
- Go up 1 square.
- Go left 2 squares.
- Go up 1 square.
- Go left 1 square.
- Go up 1 square.
- Go right 5 squares.
- Go down 1 square.
- Go right 1 square.
- Go down 1 square.
- Go left 1 square.
- Go down 1 square.
- Go right 1 square.
- Go down 1 square.
- Go left 1 square.
- Go down 1 square.
- Go left 3 squares.
- Go down 3 squares.
- Go right 1 square.
- Go up 1 square.
- Go right 2 squares.
- Go down 2 squares.
- Go left 1 square.
- Go down 2 squares.
- Go right 2 squares.
- Go up 1 square.
- Go right 3 squares.
- Go up 1 square.
- Go right 2 squares.
- Go up 2 squares.
- Go left 3 squares.
- Go down 2 squares.
- Go left 1 square.
- Go up 1 square.
- Go left 1 square.
- Go up 1 square.
- Go right 1 square.
- Go up 2 squares.
- Go right 1 square.
- Go down 1 square.
- Go right 1 square.
- Go up 1 square.
- Go right 1 square.
- Go down 1 square.
- Go right 1 square.
- Go up 2 squares.
- Go right 1 square.
- Go up 1 square.
- Go left 2 squares.
- Go down 1 square.
- Go left 2 squares.
- Go up 1 square.
- Go right 1 square.
- Go up 1 square.
- Go left 2 squares.
- Go up 1 square.
- Go right 3 squares.
- Go down 1 square.
- Go right 1 square.
- Go up 1 square.
- Go right 1 square.
- Go down 1 square.
- Go right 1 square.
- Go down 3 squares.
- Go left 1 square.
- Go down 4 squares.
- Go right 1 square.
- Go down 1 square.
- Go left 2 squares.
- Go down 1 square.
- Go right 1 square.
- Go down 2 squares.
- Go right 1 square.
- 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.