code: def add_distributions(
      self, distributions: Dict[str, BaseDistribution]
  ) -> None:
      dist_keys = set(distributions.keys())
      next_search_spaces = []
  
      for search_space in self._search_spaces:
          keys = set(search_space.keys())
  
          next_search_spaces.append(
              {name: search_space[name] for name in keys & dist_keys}
          )
          next_search_spaces.append(
              {name: search_space[name] for name in keys - dist_keys}
          )
  
          dist_keys -= keys
  
      next_search_spaces.append(
          {name: distributions[name] for name in dist_keys}
      )
      self._search_spaces = list(
          filter(
              lambda search_space: len(search_space) > 0,
              next_search_spaces,
          )
      )
  
file_path: optuna/optuna/search_space/group_decomposed.py
imports: import copy
  from typing import Dict
  from typing import List
  from typing import Optional
  from typing import Tuple
  from optuna.distributions import BaseDistribution
  from optuna.study import Study
  from optuna.trial import TrialState
label_desc: Use image node_id 3 for calling the _SearchSpaceGroup obj's underlying member method code with example usage: obj.add_distributions(distributions) without return types