Teleportation

Alice is going to be late for school. As the map shows, a normal student would have to go through 6 paths to get there. Fortunately, Alice has a superpower to teleport to any nodes with the same color as her current node. She can use this power only once.

What is the least number of paths she needs to go through to get to school?

Clarification: The teleportation happens instantaneously and thus is not included in the count.


Harry is also late for school but he has better superpowers!

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