  But the same initial state on S is also consistent with other global solutions. The new requirement imposed by the topology is just that the data going into L+ from the bottom match the data coming out of L− from the top, and the data going into L- from the bottom match the data coming out of L+ from the top. So we can add any number of vertical lines connecting L- and L+ to a solution and still have a solution. For example, adding a few such lines to the minimal solution yields: