use the inverse edge weight for conflict path calculation

src/macrogen/etc/bibscores.tsv

@@ -6,7 +6,7 @@ faust://bibliography/landeck1981	5
 faust://bibliography/hertz1932	0
 faust://bibliography/gsa-datenbank	75
 faust://bibliography/inventare_2_2	50
-faust://self	2147483647
+faust://self	20000
 faust://bibliography/hertz1931	0
 faust://bibliography/pniower1924	1
 faust://generalknowledge	50
@@ -56,3 +56,4 @@ faust://bibliography/scheibe1974	50
 faust://bibliography/fischer-lamberg1957	1
 faust://bibliography/nollendorfs1967	10
 faust://bibliography/witkowski1894	1
+faust://bibliography/bruening_hahn2017	500

src/macrogen/graph.py

@@ -294,6 +294,20 @@ def collapse_timeline(graph: nx.MultiDiGraph) -> nx.MultiDiGraph:
     return g
 
 
+def add_iweight(graph: nx.MultiDiGraph):
+    """
+    Adds an 'iweight' attribute with the inverse weight for each edge. timeline edges are trimmed to zero.
+    """
+    for u, v, k, attr in graph.edges(keys=True, data=True):
+        if 'weight' in attr:
+            if attr.get('kind', '') == 'timeline':
+                attr['iweight'] = 0
+            elif attr['weight'] > 0:
+                attr['iweight'] = 1 / attr['weight']
+            else:
+                attr['iweight'] = 0
+
+
 @dataclass
 class MacrogenesisInfo:
     base: nx.MultiDiGraph
@@ -467,6 +481,7 @@ def macrogenesis_graphs() -> MacrogenesisInfo:
     resolve_ambiguities(base)
     adopt_orphans(base)
     base = collapse_edges_by_source(base)
+    add_iweight(base)
     working = cleanup_graph(base).copy()
     add_missing_wits(working)
     conflicts = subgraphs_with_conflicts(working)

src/macrogen/report.py

@@ -648,7 +648,7 @@ def _report_conflict(graphs: MacrogenesisInfo, u, v):
                      | {v} | set(graphs.base.predecessors(v)) | set(graphs.base.successors(v))
     counter_path = []
     try:
-        counter_path = nx.shortest_path(graphs.dag, v, u, weight='weight')
+        counter_path = nx.shortest_path(graphs.dag, v, u, weight='iweight')
         relevant_nodes = set(counter_path)
         counter_desc = " → ".join(map(_fmt_node, counter_path))
         counter_html = f'<p><strong>Pfad in Gegenrichtung:</strong> {counter_desc}</p>'