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[pre-commit.ci] auto fixes from pre-commit.com hooks
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@ -5,8 +5,9 @@ UNMATCHED = -1 # Constant to represent unmatched vertices
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class EdmondsBlossomAlgorithm:
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class EdmondsBlossomAlgorithm:
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@staticmethod
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@staticmethod
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def maximum_matching(edges: list[tuple[int, int]], vertex_count: int) \
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def maximum_matching(
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-> list[tuple[int, int]]:
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edges: list[tuple[int, int]], vertex_count: int
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) -> list[tuple[int, int]]:
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"""
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"""
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Finds the maximum matching in a general graph using Edmonds' Blossom Algorithm.
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Finds the maximum matching in a general graph using Edmonds' Blossom Algorithm.
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@ -84,10 +85,16 @@ class EdmondsBlossomAlgorithm:
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EdmondsBlossomAlgorithm.contract_blossom(
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EdmondsBlossomAlgorithm.contract_blossom(
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BlossomData(
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BlossomData(
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BlossomAuxData(
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BlossomAuxData(
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queue, parent, base, in_blossom,
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queue,
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match, in_queue
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parent,
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base,
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in_blossom,
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match,
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in_queue,
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),
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),
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current_vertex, neighbor, base_vertex
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current_vertex,
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neighbor,
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base_vertex,
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)
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)
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)
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)
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@ -100,8 +107,9 @@ class EdmondsBlossomAlgorithm:
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return matching_result
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return matching_result
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@staticmethod
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@staticmethod
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def update_matching(match: list[int],
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def update_matching(
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parent: list[int], current_vertex: int) -> None:
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match: list[int], parent: list[int], current_vertex: int
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) -> None:
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"""
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"""
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Updates the matching along the augmenting path found.
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Updates the matching along the augmenting path found.
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@ -160,7 +168,7 @@ class EdmondsBlossomAlgorithm:
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current_vertex_v = parent[current_vertex_v]
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current_vertex_v = parent[current_vertex_v]
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@staticmethod
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@staticmethod
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def contract_blossom(blossom_data: 'BlossomData') -> None:
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def contract_blossom(blossom_data: "BlossomData") -> None:
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"""
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"""
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Contracts a blossom in the graph, modifying the base array
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Contracts a blossom in the graph, modifying the base array
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and marking the vertices involved.
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and marking the vertices involved.
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@ -176,8 +184,8 @@ class EdmondsBlossomAlgorithm:
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current_vertex_u = blossom_data.u
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current_vertex_u = blossom_data.u
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while blossom_data.aux_data.base[current_vertex_u] != blossom_data.lca:
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while blossom_data.aux_data.base[current_vertex_u] != blossom_data.lca:
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base_u = blossom_data.aux_data.base[current_vertex_u]
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base_u = blossom_data.aux_data.base[current_vertex_u]
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match_base_u = blossom_data.aux_data.base[blossom_data.aux_data.match
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match_base_u = blossom_data.aux_data.base[
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[current_vertex_u]
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blossom_data.aux_data.match[current_vertex_u]
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]
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]
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blossom_data.aux_data.in_blossom[base_u] = True
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blossom_data.aux_data.in_blossom[base_u] = True
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blossom_data.aux_data.in_blossom[match_base_u] = True
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blossom_data.aux_data.in_blossom[match_base_u] = True
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@ -188,8 +196,8 @@ class EdmondsBlossomAlgorithm:
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current_vertex_v = blossom_data.v
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current_vertex_v = blossom_data.v
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while blossom_data.aux_data.base[current_vertex_v] != blossom_data.lca:
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while blossom_data.aux_data.base[current_vertex_v] != blossom_data.lca:
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base_v = blossom_data.aux_data.base[current_vertex_v]
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base_v = blossom_data.aux_data.base[current_vertex_v]
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match_base_v = blossom_data.aux_data.base[blossom_data.aux_data.match
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match_base_v = blossom_data.aux_data.base[
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[current_vertex_v]
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blossom_data.aux_data.match[current_vertex_v]
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]
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]
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blossom_data.aux_data.in_blossom[base_v] = True
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blossom_data.aux_data.in_blossom[base_v] = True
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blossom_data.aux_data.in_blossom[match_base_v] = True
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blossom_data.aux_data.in_blossom[match_base_v] = True
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@ -212,8 +220,13 @@ class BlossomAuxData:
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"""
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"""
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def __init__(
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def __init__(
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self, queue: deque, parent: list[int], base: list[int], in_blossom: list[bool],
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self,
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match: list[int], in_queue: list[bool]
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queue: deque,
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parent: list[int],
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base: list[int],
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in_blossom: list[bool],
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match: list[int],
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in_queue: list[bool],
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) -> None:
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) -> None:
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self.queue = queue
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self.queue = queue
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self.parent = parent
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self.parent = parent
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@ -233,4 +246,3 @@ class BlossomData:
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self.u = u
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self.u = u
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self.v = v
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self.v = v
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self.lca = lca
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self.lca = lca
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