"""simple docstring"""


import torch

from transformers import AutoTokenizer




class 				UpperCamelCase      (       lowerCAmelCase__     ):







       def __init__(				self,							lowerCAmelCase__)   ->   List[Any]:
            snake_case_       =      AutoTokenizer.from_pretrained(lowerCAmelCase__)







       def 	a_		(				self,							lowerCAmelCase__)   ->   Optional[int]:

            if isinstance(lowerCAmelCase__,							lowerCAmelCase__) and all(isinstance(_x,							lowerCAmelCase__) for _x in x):
                 snake_case_       =      None
                 for l in x:
                      snake_case_       =      self.tokenizer(
                          lowerCAmelCase__,							padding='max_length',							max_length=384,							truncation=lowerCAmelCase__,							return_tensors='pt',							)
                      snake_case_       =      torch.tensor([len(lowerCAmelCase__)])
                      if d is not None:
                           for k in d.keys():
                                snake_case_       =      torch.cat((d[k], t[k]),							0)
                      else:
                           snake_case_       =      t

                 snake_case_       =      torch.tensor(self.tokenizer.convert_tokens_to_ids('[E]'))
                 snake_case_       =      torch.tensor(self.tokenizer.convert_tokens_to_ids('[/E]'))

            elif isinstance(lowerCAmelCase__,							lowerCAmelCase__) and all(isinstance(_x,							lowerCAmelCase__) for _x in x):
                 snake_case_       =      self.tokenizer(
                     lowerCAmelCase__,							padding='max_length',							max_length=384,							truncation=lowerCAmelCase__,							return_tensors='pt',							)

            else:
                 raise Exception(
                     'Type of parameter x was not recognized! Only `list of strings` for query or `list of lists of'
                     ' strings` for supports are supported.')

            return d







       def 	a_		(				self,							lowerCAmelCase__,							lowerCAmelCase__,							lowerCAmelCase__,							lowerCAmelCase__,							lowerCAmelCase__=0.70)   ->   List[str]:
            snake_case_       =      []
            for idx in range(len(W_query['input_ids'])):
                 snake_case_       =      snake_case_       =      range(p_start.shape[1])

                 snake_case_       =      []
                 for start_id in start_indexes:
                      for end_id in end_indexes:
                           if start_id < end_id:
                                output.append(
                                    (
                                        start_id,
                                        end_id,
                                        p_start[idx][start_id].item(),
                                        p_end[idx][end_id].item(),
                                    ))

                 output.sort(key=lambda lowerCAmelCase__: (tup[2] * tup[3]),							reverse=lowerCAmelCase__)
                 snake_case_       =      []
                 for k in range(len(lowerCAmelCase__)):
                      if output[k][2] * output[k][3] >= thresh:
                           snake_case_ ,			snake_case_       =      output[k][0], output[k][1]
                           snake_case_       =      self.tokenizer.decode(W_query['input_ids'][idx][c_start_pos:c_end_pos])
                           temp.append((decoded, output[k][2] * output[k][3]))

                 final_outputs.append(lowerCAmelCase__)

            return final_outputs


"""simple docstring"""


from __future__ import annotations

from queue import Queue







def       UpperCAmelCase					(	UpperCAmelCase		,      UpperCAmelCase      )       ->   tuple[int, int]:
     a ^= b
     b ^= a
     a ^= b
     return a, b







def       UpperCAmelCase					(	UpperCAmelCase		,      UpperCAmelCase      )       ->   list[list[int]]:
     snake_case_       =      1
     while (1 << j) < max_node:
          for i in range(1		,      max_node + 1      ):
               snake_case_       =      parent[j - 1][parent[j - 1][i]]
          j += 1
     return parent







def       UpperCAmelCase					(	UpperCAmelCase		,      UpperCAmelCase		,      UpperCAmelCase		,      UpperCAmelCase      )       ->   int:
     # u must be deeper in the tree than v
     if level[u] < level[v]:
          snake_case_ ,			snake_case_       =      swap(UpperCAmelCase		,      UpperCAmelCase      )
     # making depth of u same as depth of v
     for i in range(18		,      -1		,      -1      ):
          if level[u] - (1 << i) >= level[v]:
               snake_case_       =      parent[i][u]
    # at the same depth if u==v that mean lca is found
     if u == v:
          return u
     # moving both nodes upwards till lca in found
     for i in range(18		,      -1		,      -1      ):
          if parent[i][u] not in [0, parent[i][v]]:
               snake_case_ ,			snake_case_       =      parent[i][u], parent[i][v]
    # returning longest common ancestor of u,v
     return parent[0][u]







def       UpperCAmelCase					(	UpperCAmelCase		,      UpperCAmelCase		,      UpperCAmelCase		,      UpperCAmelCase		,      UpperCAmelCase = 1		,      )       ->   tuple[list[int], list[list[int]]]:
     snake_case_       =      0
     snake_case_       =      Queue(maxsize=UpperCAmelCase      )
     q.put(UpperCAmelCase      )
     while q.qsize() != 0:
          snake_case_       =      q.get()
          for v in graph[u]:
               if level[v] == -1:
                    snake_case_       =      level[u] + 1
                    q.put(UpperCAmelCase      )
                    snake_case_       =      u
     return level, parent







def       UpperCAmelCase					(	)       ->   None:
     snake_case_       =      13
     # initializing with 0
     snake_case_       =      [[0 for _ in range(max_node + 10      )] for _ in range(20      )]
     # initializing with -1 which means every node is unvisited
     snake_case_       =      [-1 for _ in range(max_node + 10      )]
     snake_case_       =      {
         1: [2, 3, 4],
         2: [5],
         3: [6, 7],
         4: [8],
         5: [9, 10],
         6: [11],
         7: [],
         8: [12, 13],
         9: [],
         10: [],
         11: [],
         12: [],
         13: [],
     }
     snake_case_ ,			snake_case_       =      breadth_first_search(UpperCAmelCase		,      UpperCAmelCase		,      UpperCAmelCase		,      UpperCAmelCase		,      1      )
     snake_case_       =      create_sparse(UpperCAmelCase		,      UpperCAmelCase      )
     print('LCA of node 1 and 3 is: '		,      lowest_common_ancestor(1		,      3		,      UpperCAmelCase		,      UpperCAmelCase      )      )
     print('LCA of node 5 and 6 is: '		,      lowest_common_ancestor(5		,      6		,      UpperCAmelCase		,      UpperCAmelCase      )      )
     print('LCA of node 7 and 11 is: '		,      lowest_common_ancestor(7		,      11		,      UpperCAmelCase		,      UpperCAmelCase      )      )
     print('LCA of node 6 and 7 is: '		,      lowest_common_ancestor(6		,      7		,      UpperCAmelCase		,      UpperCAmelCase      )      )
     print('LCA of node 4 and 12 is: '		,      lowest_common_ancestor(4		,      12		,      UpperCAmelCase		,      UpperCAmelCase      )      )
     print('LCA of node 8 and 8 is: '		,      lowest_common_ancestor(8		,      8		,      UpperCAmelCase		,      UpperCAmelCase      )      )


if __name__ == "__main__":
    main()

