diff --git a/schoeffelbe/pr10.py b/schoeffelbe/pr10.py
new file mode 100644
index 0000000..3a9a197
--- /dev/null
+++ b/schoeffelbe/pr10.py
@@ -0,0 +1,241 @@
+import logging
+from graphviz import Digraph
+from collections import deque
+import heapq
+
+logger = logging.getLogger(__name__)
+# logging.basicConfig(level=logging.DEBUG)
+
+import time
+
+def timeMS(func, *args, **kwargs):
+    startTime = time.perf_counter()
+    result = func(*args, **kwargs)
+    endTime = time.perf_counter()
+    elapsedMS = (endTime - startTime) * 1000  # Convert to milliseconds
+    print(f"{func.__name__} took {elapsedMS:.2f} ms")
+    return result
+
+class Graph:
+    def __init__(self):
+        self.adjacencyList = {}
+
+    def addEdge(self, node1, node2, bidirectional=True):
+        if node1 not in self.adjacencyList:
+            self.adjacencyList[node1] = []
+        if node2 not in self.adjacencyList:
+            self.adjacencyList[node2] = []
+        self.adjacencyList[node1].append(node2)
+        if bidirectional:
+            self.adjacencyList[node2].append(node1)
+
+    def serialize(self):
+        return self.adjacencyList
+
+    def breadthFirstSearch(self, start, goal, edgesGonePassed = None):
+        if start not in self.adjacencyList or goal not in self.adjacencyList:
+            return None, None
+
+        # Dont want to have a class for this, set suffices
+        visited = set()
+        queue = deque([(start, [start], set())])  # (current_node, path, edgesGoneToGetHere)
+
+        while queue:
+            currentNode, path, edgesGone = queue.popleft()
+
+            if currentNode == goal:
+                return path, edgesGone
+
+            if currentNode not in visited:
+                logger.info(f"visiting {currentNode}")
+                visited.add(currentNode)
+                for neighbor in self.adjacencyList[currentNode]:
+                    edge = (currentNode, neighbor)
+                    # We already went this Edge. Read Part3 as not allowing this to happen
+                    edgeReverse = (neighbor, currentNode)
+                    if neighbor not in visited and (edgesGonePassed is None or edge not in edgesGonePassed) and (edgesGonePassed is None or edgeReverse not in edgesGonePassed):
+                        # Pythonic way of saying neighbour, path no next clear neighbour
+                        # and union of edgesGone with current edge
+                        queue.append((neighbor, path + [neighbor], edgesGone | {edge}))
+
+        return None, None
+
+class SpanningTreeGraph(Graph):
+    def __init__(self):
+        super().__init__()
+        # Store as {(node1,node2): weight} for fast and clean lookup
+        self.edges = {}
+
+    def addWeightedEdge(self, node1, node2, weight, bidirectional=True):
+        super().addEdge(node1, node2, bidirectional)
+        self.edges[(node1, node2)] = weight;
+        if bidirectional:
+            self.edges[(node2, node1)] = weight;
+
+    def prim(self, startNode):
+        if startNode not in self.adjacencyList:
+            return None
+
+        visited = set()
+        # PQ -> heapq uses pylist
+        # Also, why do we need to init distance and parents to inf and None
+        # Isnt this information stored in the Graph and/or the PQ already?
+        pqMinHeap = []
+        minSpanTree = []
+
+        visited.add(startNode)
+        # Interanly use the weights compare and just take the minWeight -> No need for "inf"
+        # Also store from->to for graph-building
+        for neighbour in self.adjacencyList[startNode]:
+            if (tmp := (startNode, neighbour)) in self.edges:
+                neighbourWeight = self.edges[tmp]
+                heapq.heappush(pqMinHeap, (neighbourWeight, startNode, neighbour));
+
+        while pqMinHeap:
+            weight, nodeFrom, nodeTo = heapq.heappop(pqMinHeap)
+
+            if nodeTo not in visited:
+                minSpanTree.append((nodeFrom, nodeTo, weight))
+                visited.add(nodeTo)
+
+                for neighbour in self.adjacencyList[nodeTo]:
+                    if neighbour not in visited and (tmp := (nodeTo, neighbour)) in self.edges:
+                        edgeWeight = self.edges[tmp]
+                        heapq.heappush(pqMinHeap, (edgeWeight, nodeTo, neighbour))
+
+        return minSpanTree
+
+    # https://stackoverflow.com/questions/39713798/need-some-clarification-on-kruskals-and-union-find
+    # Use UnionByRank and Path-Compression instead of regular union-find for faster runtime and less performance impact
+    def kruskal(self):
+        sortedEdges = sorted(self.edges.items(), key=lambda item: item[1])
+
+        minSpanTree = []
+
+        # UnionByRank+PathCompression assumes each Node has itsself as a parent in the beginning and Rank 0, union then sets new parent as per usual
+        # Rank tries to pin together subtrees of the same rank to keep tree "clean"
+        # Then during find (loopdetection) bubble up tree during find (as usual), but pathcompression collapses the "parent" to the root for next loop
+        parent = {}
+        rank = {}
+
+        # Init only once -> Set for filter
+        for node in set(node for edge in self.edges.keys() for node in edge):
+            parent[node] = node
+            rank[node] = 0
+
+        def _find(node):
+            # Path compression
+            if parent[node] != node:
+                parent[node] = _find(parent[node])
+            return parent[node]
+
+        def _union(node1, node2):
+            # Union by rank
+            root1 = _find(node1)
+            root2 = _find(node2)
+
+            if root1 != root2:
+                if rank[root1] > rank[root2]:
+                    parent[root2] = root1
+                elif rank[root1] < rank[root2]:
+                    parent[root1] = root2
+                else:
+                    parent[root2] = root1
+                    rank[root1] += 1
+
+        for (node1, node2), weight in sortedEdges:
+            # no Loop
+            if _find(node1) != _find(node2):
+                minSpanTree.append((node1, node2, weight))
+                _union(node1, node2)
+
+        return minSpanTree;
+
+
+
+def graphvizify(filePath: str, outputFile: str = 'build/hoehleGraph', edges=None):
+    import re
+    graph = Digraph()
+    graph.attr(rankdir='TB')
+    graph.attr('node', shape='circle', style='filled', fillcolor='lightgray')
+    graph.attr('edge', arrowsize='0.5')
+
+    # Reuse the function to also create our Graph... Waste not want not^^
+    caveGraph = SpanningTreeGraph();
+
+    # Provided Edges -> No Fileparsing, but display the MST
+    if edges:
+        # No dupl
+        addedEdges = set()
+        for (node1, node2), weight in edges.items():
+            edge = tuple(sorted((node1, node2)))  # Sort nodes for uniqueness (A,B == B,A)
+            logger.debug(f"added {edge}")
+            if edge not in addedEdges:
+                graph.edge(f"\"{node1}\"", f"\"{node2}\"", label=(" " + str(weight)), dir='none')
+                addedEdges.add(edge)
+    else:
+        with open(filePath, 'r') as f:
+            for line in f:
+                line = line.strip()
+                # Cap "<STRING>";"<STRING>";<NUMBER>
+                match = re.match(r'"([^"]+)"\s*;\s*"([^"]+)"\s*;\s*(\d+)', line)
+                if match:
+                    node1, node2, weight = match.groups()
+                    weight = int(weight)
+                    graph.edge(f"\"{node1}\"", f"\"{node2}\"", label=(" "+(str(weight))), dir='none')
+                    logger.debug(f"Added {node1} -> {node2}")
+                    caveGraph.addWeightedEdge(node1, node2, weight)
+
+    try:
+        graph.render(outputFile, view=True)
+    except Exception as e:
+        print(f"Could not display graph: {e}\n Trying to save without viewing!")
+        try:
+            graph.render(outputFile, view=False)
+            print(f"Your built map should be available here: {outputFile}.pdf")
+        except Exception as e:
+            print(f"Could not save graph file: {e}")
+
+    return caveGraph
+
+if __name__ == "__main__":
+    start = "Höhleneingang"
+    goal = "Schatzkammer"
+
+    for filename in [ "data/elektro.txt" ]:
+        caveGraph = graphvizify(filename, 'build/hoehleGraphElektro')
+        mst = caveGraph.prim(start);
+        mstEdges = {(node1, node2): weight for node1, node2, weight in mst} # type: ignore -> "Pywright, Stop complaining. I know it can happen that we return none, but thats ok 
+        logger.debug(f"Prim: {mstEdges}")
+        # Reuse the graphvizify to visualize the new MST
+        graphvizify(filename, 'build/prim', mstEdges)
+        
+        mstKruskal = caveGraph.kruskal();
+        mstEdgesKruskal = {(node1, node2): weight for node1, node2, weight in mstKruskal} # type: ignore -> "Pywright, Stop complaining. I know it can happen that we return none, but thats ok 
+        logger.debug(f"Kruskal: {mstEdgesKruskal}")
+        graphvizify(filename, 'build/kruskal', mstEdgesKruskal)
+        
+        timeMS(caveGraph.prim, start)
+        timeMS(caveGraph.kruskal)
+
+        exit(0);
+
+        ## Old Search for shortest Path, no MST
+        shortestPath, edgesGoneInitial = caveGraph.breadthFirstSearch(start, goal)
+        print(shortestPath, edgesGoneInitial)
+        logger.debug(caveGraph.adjacencyList)
+        logger.debug(edgesGoneInitial)
+        
+        if shortestPath:
+            print(f"Shortest path from {start} to {goal} is:")
+            print(" -> ".join(shortestPath))
+        else:
+            print(f"No path found from {start} to {goal}.")
+
+        returnpath, _ = caveGraph.breadthFirstSearch(goal, start, edgesGoneInitial)
+
+        if returnpath:
+            print(f"Shortest path from {goal} to {start} is:")
+            print(" -> ".join(returnpath))
+        else:
+            print("No path back Home found. Good Luck")