void CreateInitialOrderInLayers()
{
//the idea is to topologically ordering all nodes horizontally, by using vertical components, then fill the layers according to this order
Dictionary <int, int> nodesToVerticalComponentsRoots = CreateVerticalComponents();
IEnumerable <IntPair> liftedLeftRightRelations = LiftLeftRightRelationsToComponentRoots(nodesToVerticalComponentsRoots).ToArray();
int[] orderOfVerticalComponentRoots = TopologicalSort.GetOrderOnEdges(liftedLeftRightRelations);
FillLayersWithVerticalComponentsOrder(orderOfVerticalComponentRoots, nodesToVerticalComponentsRoots);
LayerArrays.UpdateXFromLayers();
}