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turast, many thanks I just didn't think of doing that,should have read preamble more carefully thank you once again

The tour must start and finish in regions with an odd number of 'nodes' (ie bridge ends)and must proceed from the higher number (5) to the lower (3). The exact choice of route is dictated by the directions of travel across the bridges and the need to avoid a crossing path. That one of the objects is not a bridge is confirmed by the colour of the 'E' !!

Oh brave new world
That has such people in't

When I read the preamble to this puzzle, I couldn't even begin to think what it might mean. Respect