Draw a 13-segment path from “Start” to “Finish,” using segments of the lengths given in the list below, in order. The path must avoid all barriers, and stay within the 9 × 15 rectangle.

, 1, 2, , 2, 3, 4, 5, , , , ,

Hint 1:  If barriers and walls don’t get in the way, segments of any length can be drawn in at least four different directions.

Hint 2:  Some lengths can be drawn in more than four directions. What are the lengths of these segments? In how many other directions can segments of this length be drawn from the common starting point?

Hint 3:  You may find it helpful to work from both ends toward the middle.

See solution.

There is only one path that meets all the criteria. Notice that is represented once as , and once as .