o
    `۷i                     @   s>   d dl mZmZ edZdeeef deeef fddZdS )    )DictTypeVarKdreturnc                 C   s~   | si S i }t |  }| D ].}||v rq|}|h}|| v r8| | }||v r-td|  || |}|| v s|||< q|S )a  Collapse transitive mappings in a dictionary. Given a mapping like
    {a: b, b: c, c: d}, returns {a: d}, removing intermediate b -> c, c -> d.

    Only keeps mappings where the key is NOT a value in another mapping (i.e., chain starting points).

    Args:
        d: Dictionary representing a mapping

    Returns:
        Dictionary with all transitive mappings collapsed, keeping only KV-pairs,
        such that K and V are starting and terminal point of a chain

    Examples:
        >>> collapse_transitive_map({"a": "b", "b": "c", "c": "d"})
        {'a': 'd'}
        >>> collapse_transitive_map({"a": "b", "x": "y"})
        {'a': 'b', 'x': 'y'}
    z Detected a cycle in the mapping )setvalues
ValueErroradd)r   	collapsed
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