Bebras 2021 - Level 3 Question 6

Kangaroo wants to get home by jumping along the roads shown below. Kangaroo can jump only horizontally (left or right) or vertically (up or down). Furthermore, Kangaroo can jump over a pile of stones only if it contains no more than two stones.



Call the distance between two adjacent intersections one road segment. What is the fewest road segments Kangaroo must jump along to reach home in the bottom-right corner?