


"""simple docstring"""







lowerCamelCase_  :  List[str]     		=    [
    ["""ab-e1""", """ac-e3""", """ad-e5""", """bc-e4""", """bd-e2""", """be-e6""", """bh-e12""", """cd-e2""", """ce-e4""",
     """de-e1""", """df-e8""", """dg-e5""", """dh-e10""", """ef-e3""", """eg-e2""", """fg-e6""", """gh-e6""", """hi-e3"""],
    ["""ab-e1""", """ac-e3""", """ad-e5""", """bc-e4""", """bd-e2""", """be-e6""", """cd-e2""", """de-e1""", """df-e8""",
     """ef-e3""", """eg-e2""", """fg-e6"""],
    ["""ab-e1""", """ac-e3""", """bc-e4""", """bd-e2""", """de-e1""", """df-e8""", """dg-e5""", """ef-e3""", """eg-e2""",
     """eh-e12""", """fg-e6""", """fh-e10""", """gh-e6"""],
    ["""ab-e1""", """ac-e3""", """bc-e4""", """bd-e2""", """bh-e12""", """cd-e2""", """df-e8""", """dh-e10"""],
    ["""ab-e1""", """ac-e3""", """ad-e5""", """bc-e4""", """bd-e2""", """cd-e2""", """ce-e4""", """de-e1""", """df-e8""",
     """dg-e5""", """ef-e3""", """eg-e2""", """fg-e6"""]
]
def _A		(		lowercase						):







    """simple docstring"""
    a											=set()
    for row in edge_array:
        for item in row:
            distinct_edge.add(item[0]						)
    return list(lowercase						)
def _A		(		lowercase			,       lowercase						):







    """simple docstring"""
    a											=['''0'''] * len(lowercase						)
    for i, row in enumerate(lowercase						):
        for item in row:
            if distinct_edge in item[0]:
                a											='''1'''
                break
    return "".join(lowercase						)
def _A		(		lowercase						):







    """simple docstring"""
    a											=get_distinct_edge(lowercase						)
    a											={}

    for item in distinct_edge:
        a											=get_bitcode(lowercase			,       lowercase						)
        # print('bit',bit)
        # bt=''.join(bit)
        a											=bit.count('''1'''						)
        a											=[s, bit]
    # Store [Distinct edge, WT(Bitcode), Bitcode] in descending order
    a											=[
        [k, v[0], v[1]]
        for k, v in sorted(frequency_table.items()			,       key=lambda lowercase						: v[1][0]			,       reverse=lowercase						)
    ]
    return sorted_frequency_table
def _A		(		lowercase						):







    """simple docstring"""
    a											={}
    for _, item in enumerate(lowercase						):
        nodes.setdefault(item[2]			,       []						).append(item[0]						)
    return nodes
def _A		(		lowercase						):







    """simple docstring"""
    a											={}
    for key, value in nodes.items():
        a											=value
    return cluster
def _A		(		lowercase						):







    """simple docstring"""
    return [i * 1_00 / len(lowercase						) for i in cluster]
def _A		(		):







    """simple docstring"""
    print('''\nNodes\n'''						)
    for key, value in nodes.items():
        print(lowercase			,       lowercase						)
    print('''\nSupport\n'''						)
    print(lowercase						)
    print('''\n Cluster \n'''						)
    for key, value in sorted(cluster.items()			,       reverse=lowercase						):
        print(lowercase			,       lowercase						)
    print('''\n Graph\n'''						)
    for key, value in graph.items():
        print(lowercase			,       lowercase						)
    print('''\n Edge List of Frequent subgraphs \n'''						)
    for edge_list in freq_subgraph_edge_list:
        print(lowercase						)
def _A		(		lowercase			,       lowercase			,       lowercase			,       lowercase						):







    """simple docstring"""
    for i in cluster[ca]:
        a											=0
        a											=ca + 1
        while ca < max(cluster.keys()						):
            for j in cluster[ca]:
                if int(lowercase			,       2						) & int(lowercase			,       2						) == int(lowercase			,       2						):
                    if tuple(nodes[i]						) in graph:
                        graph[tuple(nodes[i]						)].append(nodes[j]						)
                    else:
                        a											=[nodes[j]]
                    count += 1
            if count == 0:
                a											=ca + 1
            else:
                break
def _A		(		lowercase			,       lowercase						):







    """simple docstring"""
    a											=cluster[max(cluster.keys()						)]
    a											='''Header'''
    a											={}
    for i in x:
        if (["Header"],) in graph:
            graph[(["Header"],)].append(x[i]						)
        else:
            a											=[x[i]]
    for i in x:
        a											=[['''Header''']]
    a											=1
    while i < max(lowercase						) - 1:
        create_edge(lowercase			,       lowercase			,       lowercase			,       lowercase						)
        a											=i + 1
    return graph
def _A		(		lowercase			,       lowercase			,       lowercase			,       lowercase=None						):







    """simple docstring"""
    a											=(path or []) + [start]
    if start == end:
        paths.append(lowercase						)
    for node in graph[start]:
        if tuple(lowercase						) not in path:
            my_dfs(lowercase			,       tuple(lowercase						)			,       lowercase			,       lowercase						)
def _A		(		lowercase			,       lowercase			,       lowercase						):







    """simple docstring"""
    a											=int(s / 1_00 * (len(lowercase						) - 1)						)
    for i in cluster[k]:
        my_dfs(lowercase			,       tuple(cluster[k][i]						)			,       (['''Header'''],)						)
def _A		(		lowercase						):







    """simple docstring"""
    a											=[]
    for edges in paths:
        a											=[]
        for j in range(len(lowercase						) - 1						):
            a											=list(edges[j]						)
            for e in temp:
                a											=(e[0], e[1])
                el.append(lowercase						)
        freq_sub_el.append(lowercase						)
    return freq_sub_el
def _A		(		lowercase						):







    """simple docstring"""
    for i in range(len(lowercase						)						):
        for j in range(len(edge_array[i]						)						):
            a											=edge_array[i][j].split('''-'''						)
            a											=t


if __name__ == "__main__":
       preprocess(edge_array)
       lowerCamelCase_  :  Optional[int]     		=    get_frequency_table(edge_array)
       lowerCamelCase_  :  Any     		=    get_nodes(frequency_table)
       lowerCamelCase_  :  Any     		=    get_cluster(nodes)
       lowerCamelCase_  :  Dict     		=    get_support(cluster)
       lowerCamelCase_  :  Union[str, Any]     		=    construct_graph(cluster, nodes)
       find_freq_subgraph_given_support(6_0, cluster, graph)
       lowerCamelCase_  :  list     		=    []
       lowerCamelCase_  :  Optional[Any]     		=    freq_subgraphs_edge_list(paths)
       print_all()



"""simple docstring"""







from .stack import Stack
def _A		(		lowercase						):







    """simple docstring"""
    a											=Stack()
    a											={'''(''': ''')''', '''[''': ''']''', '''{''': '''}'''}
    for bracket in parentheses:
        if bracket in bracket_pairs:
            stack.push(lowercase						)
        elif bracket in (")", "]", "}"):
            if stack.is_empty() or bracket_pairs[stack.pop()] != bracket:
                return False
    return stack.is_empty()


if __name__ == "__main__":
       from doctest import testmod

       testmod()

       lowerCamelCase_  :  List[str]     		=    ["""((()))""", """((())""", """(()))"""]
       print("""Balanced parentheses demonstration:\n""")
       for example in examples:
              lowerCamelCase_  :  str     		=    """""" if balanced_parentheses(example) else """not """
              print(F'{example} is {not_str}balanced')