Question 14
Bob drives from Hamper to Mug. Circles mark towns and segments mark two-way roads; each number is the toll charged whenever Bob uses that road. He may change roads at a crossing, but must pay each road’s full toll even if using only part of it. For example B→C can use the roads costing 23 and 6, totaling 29, as indicated.

What is the least possible total toll from Hamper to Mug?

What is the least possible total toll from Hamper to Mug?