






'''simple docstring'''







import math
import sys




class      __SCREAMING_SNAKE_CASE					:


  """simple docstring"""


  def __init__( self  ):






         """simple docstring"""


         a_	    = 0
         a_	    = []
         a_	    = {}  # To store the pos of node in array







  def       _a					( self  ):






         """simple docstring"""


         return self.cur_size == 0







  def       _a					( self      ,  UpperCamelCase__  ):






         """simple docstring"""


         a_	    = self.left(UpperCamelCase__  )
         a_	    = self.right(UpperCamelCase__  )
         if lc < self.cur_size and self.array(UpperCamelCase__  )[0] < self.array(UpperCamelCase__  )[0]:
                a_	    = lc
         else:
                a_	    = idx
         if rc < self.cur_size and self.array(UpperCamelCase__  )[0] < self.array(UpperCamelCase__  )[0]:
                a_	    = rc
         if smallest != idx:
                self.swap(UpperCamelCase__      ,  UpperCamelCase__  )
                self.min_heapify(UpperCamelCase__  )







  def       _a					( self      ,  UpperCamelCase__  ):






         """simple docstring"""


         a_	    = self.cur_size
         self.cur_size += 1
         self.array.append((sys.maxsize, tup[1])  )
         self.decrease_key((sys.maxsize, tup[1])      ,  tup[0]  )







  def       _a					( self  ):






         """simple docstring"""


         a_	    = self.array[0][1]
         a_	    = self.array[self.cur_size - 1]
         self.cur_size -= 1
         self.min_heapify(1  )
         del self.pos[min_node]
         return min_node







  def       _a					( self      ,  UpperCamelCase__  ):






         """simple docstring"""


         return 2 * i + 1







  def       _a					( self      ,  UpperCamelCase__  ):






         """simple docstring"""


         return 2 * i + 2







  def       _a					( self      ,  UpperCamelCase__  ):






         """simple docstring"""


         return math.floor(i / 2  )







  def       _a					( self      ,  UpperCamelCase__      ,  UpperCamelCase__  ):






         """simple docstring"""


         a_	    = j
         a_	    = i
         a_	    = self.array[i]
         a_	    = self.array[j]
         a_	    = temp







  def       _a					( self      ,  UpperCamelCase__      ,  UpperCamelCase__  ):






         """simple docstring"""


         a_	    = self.pos[tup[1]]
         # assuming the new_d is atmost old_d
         a_	    = (new_d, tup[1])
         while idx > 0 and self.array[self.par(UpperCamelCase__  )][0] > self.array[idx][0]:
                self.swap(UpperCamelCase__      ,  self.par(UpperCamelCase__  )  )
                a_	    = self.par(UpperCamelCase__  )





class      __SCREAMING_SNAKE_CASE					:


  """simple docstring"""


  def __init__( self      ,  UpperCamelCase__  ):






         """simple docstring"""


         a_	    = {}  # To store graph: u -> (v,w)
         a_	    = num  # Number of nodes in graph
         # To store the distance from source vertex
         a_	    = [0] * self.num_nodes
         a_	    = [-1] * self.num_nodes  # To store the path







  def       _a					( self      ,  UpperCamelCase__      ,  UpperCamelCase__      ,  UpperCamelCase__  ):






         """simple docstring"""


         if u in self.adjList:
                self.adjList[u].append((v, w)  )
         else:
                a_	    = [(v, w)]

         # Assuming undirected graph
         if v in self.adjList:
                self.adjList[v].append((u, w)  )
         else:
                a_	    = [(u, w)]







  def       _a					( self  ):






         """simple docstring"""


         for u in self.adjList:
                print(UpperCamelCase__      ,  '->'      ,  ' -> '.join(str(f'{v}({w})'  ) for v, w in self.adjList[u]  )  )







  def       _a					( self      ,  UpperCamelCase__  ):






         """simple docstring"""


         a_	    = [-1] * self.num_nodes
         # src is the source node
         a_	    = 0
         a_	    = PriorityQueue()
         q.insert((0, src)  )  # (dist from src, node)
         for u in self.adjList:
                if u != src:
                       a_	    = sys.maxsize  # Infinity
                       a_	    = -1

         while not q.is_empty():
                a_	    = q.extract_min()  # Returns node with the min dist from source
                # Update the distance of all the neighbours of u and
                # if their prev dist was INFINITY then push them in Q
                for v, w in self.adjList[u]:
                       a_	    = self.dist[u] + w
                       if self.dist[v] > new_dist:
                              if self.dist[v] == sys.maxsize:
                                     q.insert((new_dist, v)  )
                              else:
                                     q.decrease_key((self.dist[v], v)      ,  UpperCamelCase__  )
                              a_	    = new_dist
                              a_	    = u

        # Show the shortest distances from src
         self.show_distances(UpperCamelCase__  )







  def       _a					( self      ,  UpperCamelCase__  ):






         """simple docstring"""


         print(f'Distance from node: {src}'  )
         for u in range(self.num_nodes  ):
                print(f'Node {u} has distance: {self.dist[u]}'  )







  def       _a					( self      ,  UpperCamelCase__      ,  UpperCamelCase__  ):






         """simple docstring"""


         a_	    = []
         a_	    = 0
         a_	    = dest
         # Backtracking from dest to src
         while self.par[temp] != -1:
                path.append(UpperCamelCase__  )
                if temp != src:
                       for v, w in self.adjList[temp]:
                              if v == self.par[temp]:
                                     cost += w
                                     break
                a_	    = self.par[temp]
         path.append(UpperCamelCase__  )
         path.reverse()

         print(f'----Path to reach {dest} from {src}----'  )
         for u in path:
                print(f'{u}'      ,  end=' '  )
                if u != dest:
                       print('-> '      ,  end=''  )

         print('\nTotal cost of path: '      ,  UpperCamelCase__  )


if __name__ == "__main__":
  __lowerCAmelCase					   =       Graph(9)
  graph.add_edge(0, 1, 4)
  graph.add_edge(0, 7, 8)
  graph.add_edge(1, 2, 8)
  graph.add_edge(1, 7, 11)
  graph.add_edge(2, 3, 7)
  graph.add_edge(2, 8, 2)
  graph.add_edge(2, 5, 4)
  graph.add_edge(3, 4, 9)
  graph.add_edge(3, 5, 14)
  graph.add_edge(4, 5, 10)
  graph.add_edge(5, 6, 2)
  graph.add_edge(6, 7, 1)
  graph.add_edge(6, 8, 6)
  graph.add_edge(7, 8, 7)
  graph.show_graph()
  graph.dijkstra(0)
  graph.show_path(0, 4)

# OUTPUT
# 0 -> 1(4) -> 7(8)
# 1 -> 0(4) -> 2(8) -> 7(11)
# 7 -> 0(8) -> 1(11) -> 6(1) -> 8(7)
# 2 -> 1(8) -> 3(7) -> 8(2) -> 5(4)
# 3 -> 2(7) -> 4(9) -> 5(14)
# 8 -> 2(2) -> 6(6) -> 7(7)
# 5 -> 2(4) -> 3(14) -> 4(10) -> 6(2)
# 4 -> 3(9) -> 5(10)
# 6 -> 5(2) -> 7(1) -> 8(6)
# Distance from node: 0
# Node 0 has distance: 0
# Node 1 has distance: 4
# Node 2 has distance: 12
# Node 3 has distance: 19
# Node 4 has distance: 21
# Node 5 has distance: 11
# Node 6 has distance: 9
# Node 7 has distance: 8
# Node 8 has distance: 14
# ----Path to reach 4 from 0----
# 0 -> 7 -> 6 -> 5 -> 4
# Total cost of path:  21












'''simple docstring'''







from ...configuration_utils import PretrainedConfig
from ...utils import logging


__lowerCAmelCase					   =       logging.get_logger(__name__)

__lowerCAmelCase					   =       {
    "uw-madison/nystromformer-512": "https://huggingface.co/uw-madison/nystromformer-512/resolve/main/config.json",
    # See all Nystromformer models at https://huggingface.co/models?filter=nystromformer
}




class      __SCREAMING_SNAKE_CASE					(__A					):


  """simple docstring"""


  _a     :   Union[str, Any]			 =    '''nystromformer'''







  def __init__( self      ,  UpperCamelCase__=30_000      ,  UpperCamelCase__=768      ,  UpperCamelCase__=12      ,  UpperCamelCase__=12      ,  UpperCamelCase__=3_072      ,  UpperCamelCase__="gelu_new"      ,  UpperCamelCase__=0.1      ,  UpperCamelCase__=0.1      ,  UpperCamelCase__=510      ,  UpperCamelCase__=2      ,  UpperCamelCase__=64      ,  UpperCamelCase__=64      ,  UpperCamelCase__=65      ,  UpperCamelCase__=False      ,  UpperCamelCase__=0.02      ,  UpperCamelCase__=1e-5      ,  UpperCamelCase__=1      ,  UpperCamelCase__=0      ,  UpperCamelCase__=2      ,  **UpperCamelCase__      ,  ):






         """simple docstring"""


         a_	    = vocab_size
         a_	    = max_position_embeddings
         a_	    = hidden_size
         a_	    = num_hidden_layers
         a_	    = num_attention_heads
         a_	    = intermediate_size
         a_	    = hidden_act
         a_	    = hidden_dropout_prob
         a_	    = attention_probs_dropout_prob
         a_	    = initializer_range
         a_	    = type_vocab_size
         a_	    = segment_means_seq_len
         a_	    = num_landmarks
         a_	    = conv_kernel_size
         a_	    = inv_coeff_init_option
         a_	    = layer_norm_eps
         super().__init__(pad_token_id=UpperCamelCase__      ,  bos_token_id=UpperCamelCase__      ,  eos_token_id=UpperCamelCase__      ,  **UpperCamelCase__  )




