two version of R2R are hereHEADmaster

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diff --git a/.venv/lib/python3.12/site-packages/networkx/algorithms/connectivity/tests/test_kcomponents.py b/.venv/lib/python3.12/site-packages/networkx/algorithms/connectivity/tests/test_kcomponents.py
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+# Test for Moody and White k-components algorithm
+import pytest
+
+import networkx as nx
+from networkx.algorithms.connectivity.kcomponents import (
+    _consolidate,
+    build_k_number_dict,
+)
+
+##
+# A nice synthetic graph
+##
+
+
+def torrents_and_ferraro_graph():
+    # Graph from https://arxiv.org/pdf/1503.04476v1 p.26
+    G = nx.convert_node_labels_to_integers(
+        nx.grid_graph([5, 5]), label_attribute="labels"
+    )
+    rlabels = nx.get_node_attributes(G, "labels")
+    labels = {v: k for k, v in rlabels.items()}
+
+    for nodes in [(labels[(0, 4)], labels[(1, 4)]), (labels[(3, 4)], labels[(4, 4)])]:
+        new_node = G.order() + 1
+        # Petersen graph is triconnected
+        P = nx.petersen_graph()
+        G = nx.disjoint_union(G, P)
+        # Add two edges between the grid and P
+        G.add_edge(new_node + 1, nodes[0])
+        G.add_edge(new_node, nodes[1])
+        # K5 is 4-connected
+        K = nx.complete_graph(5)
+        G = nx.disjoint_union(G, K)
+        # Add three edges between P and K5
+        G.add_edge(new_node + 2, new_node + 11)
+        G.add_edge(new_node + 3, new_node + 12)
+        G.add_edge(new_node + 4, new_node + 13)
+        # Add another K5 sharing a node
+        G = nx.disjoint_union(G, K)
+        nbrs = G[new_node + 10]
+        G.remove_node(new_node + 10)
+        for nbr in nbrs:
+            G.add_edge(new_node + 17, nbr)
+        # This edge makes the graph biconnected; it's
+        # needed because K5s share only one node.
+        G.add_edge(new_node + 16, new_node + 8)
+
+    for nodes in [(labels[(0, 0)], labels[(1, 0)]), (labels[(3, 0)], labels[(4, 0)])]:
+        new_node = G.order() + 1
+        # Petersen graph is triconnected
+        P = nx.petersen_graph()
+        G = nx.disjoint_union(G, P)
+        # Add two edges between the grid and P
+        G.add_edge(new_node + 1, nodes[0])
+        G.add_edge(new_node, nodes[1])
+        # K5 is 4-connected
+        K = nx.complete_graph(5)
+        G = nx.disjoint_union(G, K)
+        # Add three edges between P and K5
+        G.add_edge(new_node + 2, new_node + 11)
+        G.add_edge(new_node + 3, new_node + 12)
+        G.add_edge(new_node + 4, new_node + 13)
+        # Add another K5 sharing two nodes
+        G = nx.disjoint_union(G, K)
+        nbrs = G[new_node + 10]
+        G.remove_node(new_node + 10)
+        for nbr in nbrs:
+            G.add_edge(new_node + 17, nbr)
+        nbrs2 = G[new_node + 9]
+        G.remove_node(new_node + 9)
+        for nbr in nbrs2:
+            G.add_edge(new_node + 18, nbr)
+    return G
+
+
+def test_directed():
+    with pytest.raises(nx.NetworkXNotImplemented):
+        G = nx.gnp_random_graph(10, 0.2, directed=True, seed=42)
+        nx.k_components(G)
+
+
+# Helper function
+def _check_connectivity(G, k_components):
+    for k, components in k_components.items():
+        if k < 3:
+            continue
+        # check that k-components have node connectivity >= k.
+        for component in components:
+            C = G.subgraph(component)
+            K = nx.node_connectivity(C)
+            assert K >= k
+
+
+@pytest.mark.slow
+def test_torrents_and_ferraro_graph():
+    G = torrents_and_ferraro_graph()
+    result = nx.k_components(G)
+    _check_connectivity(G, result)
+
+    # In this example graph there are 8 3-components, 4 with 15 nodes
+    # and 4 with 5 nodes.
+    assert len(result[3]) == 8
+    assert len([c for c in result[3] if len(c) == 15]) == 4
+    assert len([c for c in result[3] if len(c) == 5]) == 4
+    # There are also 8 4-components all with 5 nodes.
+    assert len(result[4]) == 8
+    assert all(len(c) == 5 for c in result[4])
+
+
+@pytest.mark.slow
+def test_random_gnp():
+    G = nx.gnp_random_graph(50, 0.2, seed=42)
+    result = nx.k_components(G)
+    _check_connectivity(G, result)
+
+
+@pytest.mark.slow
+def test_shell():
+    constructor = [(20, 80, 0.8), (80, 180, 0.6)]
+    G = nx.random_shell_graph(constructor, seed=42)
+    result = nx.k_components(G)
+    _check_connectivity(G, result)
+
+
+def test_configuration():
+    deg_seq = nx.random_powerlaw_tree_sequence(100, tries=5, seed=72)
+    G = nx.Graph(nx.configuration_model(deg_seq))
+    G.remove_edges_from(nx.selfloop_edges(G))
+    result = nx.k_components(G)
+    _check_connectivity(G, result)
+
+
+def test_karate():
+    G = nx.karate_club_graph()
+    result = nx.k_components(G)
+    _check_connectivity(G, result)
+
+
+def test_karate_component_number():
+    karate_k_num = {
+        0: 4,
+        1: 4,
+        2: 4,
+        3: 4,
+        4: 3,
+        5: 3,
+        6: 3,
+        7: 4,
+        8: 4,
+        9: 2,
+        10: 3,
+        11: 1,
+        12: 2,
+        13: 4,
+        14: 2,
+        15: 2,
+        16: 2,
+        17: 2,
+        18: 2,
+        19: 3,
+        20: 2,
+        21: 2,
+        22: 2,
+        23: 3,
+        24: 3,
+        25: 3,
+        26: 2,
+        27: 3,
+        28: 3,
+        29: 3,
+        30: 4,
+        31: 3,
+        32: 4,
+        33: 4,
+    }
+    G = nx.karate_club_graph()
+    k_components = nx.k_components(G)
+    k_num = build_k_number_dict(k_components)
+    assert karate_k_num == k_num
+
+
+def test_davis_southern_women():
+    G = nx.davis_southern_women_graph()
+    result = nx.k_components(G)
+    _check_connectivity(G, result)
+
+
+def test_davis_southern_women_detail_3_and_4():
+    solution = {
+        3: [
+            {
+                "Nora Fayette",
+                "E10",
+                "Myra Liddel",
+                "E12",
+                "E14",
+                "Frances Anderson",
+                "Evelyn Jefferson",
+                "Ruth DeSand",
+                "Helen Lloyd",
+                "Eleanor Nye",
+                "E9",
+                "E8",
+                "E5",
+                "E4",
+                "E7",
+                "E6",
+                "E1",
+                "Verne Sanderson",
+                "E3",
+                "E2",
+                "Theresa Anderson",
+                "Pearl Oglethorpe",
+                "Katherina Rogers",
+                "Brenda Rogers",
+                "E13",
+                "Charlotte McDowd",
+                "Sylvia Avondale",
+                "Laura Mandeville",
+            }
+        ],
+        4: [
+            {
+                "Nora Fayette",
+                "E10",
+                "Verne Sanderson",
+                "E12",
+                "Frances Anderson",
+                "Evelyn Jefferson",
+                "Ruth DeSand",
+                "Helen Lloyd",
+                "Eleanor Nye",
+                "E9",
+                "E8",
+                "E5",
+                "E4",
+                "E7",
+                "E6",
+                "Myra Liddel",
+                "E3",
+                "Theresa Anderson",
+                "Katherina Rogers",
+                "Brenda Rogers",
+                "Charlotte McDowd",
+                "Sylvia Avondale",
+                "Laura Mandeville",
+            }
+        ],
+    }
+    G = nx.davis_southern_women_graph()
+    result = nx.k_components(G)
+    for k, components in result.items():
+        if k < 3:
+            continue
+        assert len(components) == len(solution[k])
+        for component in components:
+            assert component in solution[k]
+
+
+def test_set_consolidation_rosettacode():
+    # Tests from http://rosettacode.org/wiki/Set_consolidation
+    def list_of_sets_equal(result, solution):
+        assert {frozenset(s) for s in result} == {frozenset(s) for s in solution}
+
+    question = [{"A", "B"}, {"C", "D"}]
+    solution = [{"A", "B"}, {"C", "D"}]
+    list_of_sets_equal(_consolidate(question, 1), solution)
+    question = [{"A", "B"}, {"B", "C"}]
+    solution = [{"A", "B", "C"}]
+    list_of_sets_equal(_consolidate(question, 1), solution)
+    question = [{"A", "B"}, {"C", "D"}, {"D", "B"}]
+    solution = [{"A", "C", "B", "D"}]
+    list_of_sets_equal(_consolidate(question, 1), solution)
+    question = [{"H", "I", "K"}, {"A", "B"}, {"C", "D"}, {"D", "B"}, {"F", "G", "H"}]
+    solution = [{"A", "C", "B", "D"}, {"G", "F", "I", "H", "K"}]
+    list_of_sets_equal(_consolidate(question, 1), solution)
+    question = [
+        {"A", "H"},
+        {"H", "I", "K"},
+        {"A", "B"},
+        {"C", "D"},
+        {"D", "B"},
+        {"F", "G", "H"},
+    ]
+    solution = [{"A", "C", "B", "D", "G", "F", "I", "H", "K"}]
+    list_of_sets_equal(_consolidate(question, 1), solution)
+    question = [
+        {"H", "I", "K"},
+        {"A", "B"},
+        {"C", "D"},
+        {"D", "B"},
+        {"F", "G", "H"},
+        {"A", "H"},
+    ]
+    solution = [{"A", "C", "B", "D", "G", "F", "I", "H", "K"}]
+    list_of_sets_equal(_consolidate(question, 1), solution)