Gyges puzzle solution

                       N O R T H

                 A   B   C   D   E   F
               +---+---+---+---+---+---+
             1 |   |   | 2 |   |   |   | 1
               +---+---+---+---+---+---+ 
             2 |   | 1 | 3 | 3 |   |   | 2
               +---+---+---+---+---+---+
             3 | 1 | 2 |   | 1 |   |   | 3
               +---+---+---+---+---+---+
             4 |   | 3 |   |   | 3 |   | 4
               +---+---+---+---+---+---+
             5 |   | 1 |   |   |   |   | 5
               +---+---+---+---+---+---+
             6 |   | 2 |   |   | 2 |   | 6
               +---+---+---+---+---+---+
                 A   B   C   D   E   F

                       S O U T H
    

I think the shortest route for North is C1-D2-E4-B4-B5(via A4,A5)-B6-South's goal, but C1-B2-B3-D3-D2-E4-B4-B5-B6-goal will also win.