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How can I retrieve non virtual relationships from the result of A*?

Hello,

I have a pretty simple graph for transportation:
1 type of nodes connected by either one of the 2 relationships I have (A and B).

I need to find the shortest path between 2 nodes, I use A* and I created a graph using `CALL gds.graph.project`.

What I need is to limit the number of hops to a number N, but this number should be counted only if the relationship type is A, I can have as many B as I want.

When I run the query, I use the function `relationships(path)` to retrieve the relationships, but it returns always virtual relationships, so it is not possible to retrieve the real type.


Here is how I have defined the graph

CALL gds.graph.project("myGraph",
	{
	Node:{
		properties:["latitude","longitude"]
		}
	},
	{
		A:{
			type: 'A',
			properties:["distanceKm"],
			orientation:'NATURAL'
			},
		B:{
			type: 'B',
			properties:["distanceKm"],
			orientation:'NATURAL'
		}
	}
)

And how I call the A*:

CALL gds.shortestPath.astar.stream('myGraph', {
    sourceNode: source,
    targetNode: target,
    latitudeProperty: 'latitude',
    longitudeProperty: 'longitude',
    relationshipWeightProperty: 'distanceKm'
})
YIELD index, sourceNode, targetNode, totalCost, nodeIds, costs, path
RETURN
    index,
    gds.util.asNode(sourceNode).name AS sourceNodeName,
    gds.util.asNode(targetNode).name AS targetNodeName,
    totalCost,
    [nodeId IN nodeIds | gds.util.asNode(nodeId).name] AS nodeNames,
    costs,
    nodes(path) as path
ORDER BY index

How can I retrieve the real relationships types and their properties? What is the best way to filter by the relationship type?

Thanks

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