Answer: Maze 434 – Beep & Pixel

Here is the way through Maze 434. The orange line shows Pixel’s route from the top-left corner to the ball of yarn.

The one true route through maze 434.

The route as arrow code

Each arrow is a direction and each number is how many squares to move. The whole route is 384 moves long and has 250 turns.

↓ 1  → 2  ↑ 1  → 3  ↓ 2  ← 2  ↓ 3  ← 1  ↓ 1  → 1  ↓ 1  ← 3  ↓ 4  → 1  ↑ 3  → 5  ↑ 2  → 2  ↑ 1  → 1  ↑ 1  ← 1  ↑ 2  → 1  ↑ 1  ← 1  ↑ 1  → 2  ↓ 3  → 1  ↑ 2  → 3  ↑ 1  → 2  ↓ 1  ← 1  ↓ 1  ← 1  ↓ 1  → 2  ↓ 1  ← 1  ↓ 1  ← 1  ↓ 1  ← 1  ↑ 1  ← 1  ↓ 3  → 2  ↓ 1  → 1  ↑ 2  → 3  ↑ 1  ← 1  ↑ 1  → 3  ↓ 3  ← 1  ↓ 1  → 1  ↓ 1  ← 1  ↓ 1  → 1  ↓ 1  → 2  ↑ 3  → 2  ↓ 1  ← 1  ↓ 3  → 1  ↓ 3  ← 2  ↓ 1  → 1  ↓ 1  ← 1  ↓ 1  → 2  ↓ 1  ← 3  ↑ 1  ← 1  ↑ 1  ← 2  ↓ 1  ← 1  ↑ 1  ← 1  ↑ 1  → 4  ↑ 1  → 1  ↑ 2  → 1  ↑ 1  ← 3  ↑ 1  ← 2  ↑ 2  ← 2  ↓ 2  → 1  ↓ 1  ← 1  ↓ 1  → 4  ↓ 2  ← 1  ↑ 1  ← 2  ↓ 1  ← 1  ↑ 1  ← 1  ↓ 2  → 1  ↓ 2  → 1  ↓ 1  → 2  ↓ 1  ← 4  ↑ 3  ← 1  ↑ 2  ← 1  ↑ 2  ← 1  ↑ 1  → 1  ↑ 1  → 1  ↑ 2  ← 3  ↑ 1  → 1  ↑ 1  ← 2  ↓ 1  ← 1  ↑ 2  ← 1  ↓ 4  → 2  ↓ 1  → 1  ↓ 1  ← 2  ↑ 1  ← 2  ↑ 1  ← 1  ↑ 1  → 1  ↑ 1  ← 4  ↓ 1  → 1  ↓ 4  ← 1  ↑ 1  ← 2  ↓ 1  → 1  ↓ 2  → 1  ↓ 1  → 2  ↑ 1  ← 1  ↑ 1  → 1  ↑ 1  → 1  ↑ 1  → 1  ↓ 2  ← 1  ↓ 2  → 3  ↑ 1  ← 1  ↑ 1  → 1  ↑ 1  → 2  ↓ 4  ← 1  ↓ 1  → 1  ↓ 1  ← 2  ↓ 1  ← 2  ↓ 1  ← 1  ↓ 1  ← 1  ↑ 2  → 1  ↑ 1  ← 1  ↑ 1  → 1  ↑ 1  ← 2  ↓ 2  ← 1  ↑ 1  ← 2  ↓ 3  → 2  ↓ 2  → 5  ↑ 2  → 2  ↑ 1  → 1  ↓ 1  → 1  ↓ 1  ← 1  ↓ 1  → 2  ↑ 3  ← 1  ↑ 1  → 1  ↑ 1  → 1  ↓ 5  → 1  ↑ 1  → 1  ↓ 1  → 1  ↑ 1  → 3  ↓ 1  → 1  ↑ 1  → 2  ↑ 2  → 1  ↓ 2  → 1  ↓ 1

Show the route step by step

Go down 1 square.
Go right 2 squares.
Go up 1 square.
Go right 3 squares.
Go down 2 squares.
Go left 2 squares.
Go down 3 squares.
Go left 1 square.
Go down 1 square.
Go right 1 square.
Go down 1 square.
Go left 3 squares.
Go down 4 squares.
Go right 1 square.
Go up 3 squares.
Go right 5 squares.
Go up 2 squares.
Go right 2 squares.
Go up 1 square.
Go right 1 square.
Go up 1 square.
Go left 1 square.
Go up 2 squares.
Go right 1 square.
Go up 1 square.
Go left 1 square.
Go up 1 square.
Go right 2 squares.
Go down 3 squares.
Go right 1 square.
Go up 2 squares.
Go right 3 squares.
Go up 1 square.
Go right 2 squares.
Go down 1 square.
Go left 1 square.
Go down 1 square.
Go left 1 square.
Go down 1 square.
Go right 2 squares.
Go down 1 square.
Go left 1 square.
Go down 1 square.
Go left 1 square.
Go down 1 square.
Go left 1 square.
Go up 1 square.
Go left 1 square.
Go down 3 squares.
Go right 2 squares.
Go down 1 square.
Go right 1 square.
Go up 2 squares.
Go right 3 squares.
Go up 1 square.
Go left 1 square.
Go up 1 square.
Go right 3 squares.
Go down 3 squares.
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 right 1 square.
Go down 1 square.
Go right 2 squares.
Go up 3 squares.
Go right 2 squares.
Go down 1 square.
Go left 1 square.
Go down 3 squares.
Go right 1 square.
Go down 3 squares.
Go left 2 squares.
Go down 1 square.
Go right 1 square.
Go down 1 square.
Go left 1 square.
Go down 1 square.
Go right 2 squares.
Go down 1 square.
Go left 3 squares.
Go up 1 square.
Go left 1 square.
Go up 1 square.
Go left 2 squares.
Go down 1 square.
Go left 1 square.
Go up 1 square.
Go left 1 square.
Go up 1 square.
Go right 4 squares.
Go up 1 square.
Go right 1 square.
Go up 2 squares.
Go right 1 square.
Go up 1 square.
Go left 3 squares.
Go up 1 square.
Go left 2 squares.
Go up 2 squares.
Go left 2 squares.
Go down 2 squares.
Go right 1 square.
Go down 1 square.
Go left 1 square.
Go down 1 square.
Go right 4 squares.
Go down 2 squares.
Go left 1 square.
Go up 1 square.
Go left 2 squares.
Go down 1 square.
Go left 1 square.
Go up 1 square.
Go left 1 square.
Go down 2 squares.
Go right 1 square.
Go down 2 squares.
Go right 1 square.
Go down 1 square.
Go right 2 squares.
Go down 1 square.
Go left 4 squares.
Go up 3 squares.
Go left 1 square.
Go up 2 squares.
Go left 1 square.
Go up 2 squares.
Go left 1 square.
Go up 1 square.
Go right 1 square.
Go up 1 square.
Go right 1 square.
Go up 2 squares.
Go left 3 squares.
Go up 1 square.
Go right 1 square.
Go up 1 square.
Go left 2 squares.
Go down 1 square.
Go left 1 square.
Go up 2 squares.
Go left 1 square.
Go down 4 squares.
Go right 2 squares.
Go down 1 square.
Go right 1 square.
Go down 1 square.
Go left 2 squares.
Go up 1 square.
Go left 2 squares.
Go up 1 square.
Go left 1 square.
Go up 1 square.
Go right 1 square.
Go up 1 square.
Go left 4 squares.
Go down 1 square.
Go right 1 square.
Go down 4 squares.
Go left 1 square.
Go up 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.
Go right 2 squares.
Go up 1 square.
Go left 1 square.
Go up 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 left 1 square.
Go down 2 squares.
Go right 3 squares.
Go up 1 square.
Go left 1 square.
Go up 1 square.
Go right 1 square.
Go up 1 square.
Go right 2 squares.
Go down 4 squares.
Go left 1 square.
Go down 1 square.
Go right 1 square.
Go down 1 square.
Go left 2 squares.
Go down 1 square.
Go left 2 squares.
Go down 1 square.
Go left 1 square.
Go down 1 square.
Go left 1 square.
Go up 2 squares.
Go right 1 square.
Go up 1 square.
Go left 1 square.
Go up 1 square.
Go right 1 square.
Go up 1 square.
Go left 2 squares.
Go down 2 squares.
Go left 1 square.
Go up 1 square.
Go left 2 squares.
Go down 3 squares.
Go right 2 squares.
Go down 2 squares.
Go right 5 squares.
Go up 2 squares.
Go right 2 squares.
Go up 1 square.
Go right 1 square.
Go down 1 square.
Go right 1 square.
Go down 1 square.
Go left 1 square.
Go down 1 square.
Go right 2 squares.
Go up 3 squares.
Go left 1 square.
Go up 1 square.
Go right 1 square.
Go up 1 square.
Go right 1 square.
Go down 5 squares.
Go right 1 square.
Go up 1 square.
Go right 1 square.
Go down 1 square.
Go right 1 square.
Go up 1 square.
Go right 3 squares.
Go down 1 square.
Go right 1 square.
Go up 1 square.
Go right 2 squares.
Go up 2 squares.
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.

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