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Solve the following problem using Python, implementing the functions described below, one line at a time
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Description:
 def _get_vars_to_collections(variables):
 """Returns a dict mapping variables to the collections they appear in."""

  var_to_collections = collections.defaultdict(lambda: [])
  if isinstance(variables, dict):
    variables = list(v for _, v in variable_map_items(variables))
  for graph in set(v.graph for v in variables):
    for collection_name in list(graph.collections):
      entries = set(entry for entry in graph.get_collection(collection_name)
                    if isinstance(entry, tf.Variable))
      # For legacy reasons, tf.GraphKeys.GLOBAL_VARIABLES == "variables".
      # Correcting for this here, to avoid confusion.
      if collection_name == tf.GraphKeys.GLOBAL_VARIABLES:
        collection_name = "global_variables"
      for var in entries.intersection(variables):
        var_to_collections[var].append(collection_name)
  return var_to_collections