




'''simple docstring'''







from __future__ import annotations


class      _a    :
       def __init__(      self		:      Optional[int]  ,							lowercase		:      int							):



           '''simple docstring'''

           UpperCAmelCase     			=						vertices
           UpperCAmelCase     			=						[[0] * vertices for _ in range(lowercase							)]
       def        A (      self		:      Dict  ,							lowercase		:      list[int]							):



           '''simple docstring'''

           print('''Vertex \t Distance from Source'''							)
           for vertex in range(self.vertices							):
               print(lowercase  ,							'''\t\t'''  ,							distances_from_source[vertex]							)
       def        A (      self		:      Any  ,							lowercase		:      list[int]  ,							lowercase		:      list[bool]							):



           '''simple docstring'''

           UpperCAmelCase     			=						1E7
           UpperCAmelCase     			=						0

           # Search not nearest vertex not in the shortest path tree
           for vertex in range(self.vertices							):
               if distances_from_source[vertex] < minimum and visited[vertex] is False:
                   UpperCAmelCase     			=						distances_from_source[vertex]
                   UpperCAmelCase     			=						vertex
           return min_index







       def        A (      self		:      int  ,							lowercase		:      int							):



           '''simple docstring'''

           UpperCAmelCase     			=						[int(1E7							)] * self.vertices  # distances from the source
           UpperCAmelCase     			=						0
           UpperCAmelCase     			=						[False] * self.vertices

           for _ in range(self.vertices							):
               UpperCAmelCase     			=						self.minimum_distance(lowercase  ,							lowercase							)
               UpperCAmelCase     			=						True

               # Update dist value of the adjacent vertices
               # of the picked vertex only if the current
               # distance is greater than new distance and
               # the vertex in not in the shortest path tree
               for v in range(self.vertices							):
                   if (
                       self.graph[u][v] > 0
                       and visited[v] is False
                       and distances[v] > distances[u] + self.graph[u][v]
                   ):
                       UpperCAmelCase     			=						distances[u] + self.graph[u][v]

           self.print_solution(lowercase							)


if __name__ == "__main__":
   A					       =Graph(9)
   A					       =[
       [0, 4, 0, 0, 0, 0, 0, 8, 0],
       [4, 0, 8, 0, 0, 0, 0, 11, 0],
       [0, 8, 0, 7, 0, 4, 0, 0, 2],
       [0, 0, 7, 0, 9, 14, 0, 0, 0],
       [0, 0, 0, 9, 0, 10, 0, 0, 0],
       [0, 0, 4, 14, 10, 0, 2, 0, 0],
       [0, 0, 0, 0, 0, 2, 0, 1, 6],
       [8, 11, 0, 0, 0, 0, 1, 0, 7],
       [0, 0, 2, 0, 0, 0, 6, 7, 0],
   ]
   graph.dijkstra(0)










'''simple docstring'''







from __future__ import annotations





def 		snake_case_				(_a      :				list[list[int]]       ,  _a      :				list[list[int]]	):
    assert len(_a	) == len(_a	)

    UpperCAmelCase     			=						len(_a	)
    UpperCAmelCase     			=						list(range(_a	)	)
    UpperCAmelCase     			=						[-1] * n  # who the donor has donated to
    UpperCAmelCase     			=						[-1] * n  # who the recipient has received from
    UpperCAmelCase     			=						[0] * n

    while unmatched_donors:
        UpperCAmelCase     			=						unmatched_donors[0]
        UpperCAmelCase     			=						donor_pref[donor]
        UpperCAmelCase     			=						donor_preference[num_donations[donor]]
        num_donations[donor] += 1
        UpperCAmelCase     			=						recipient_pref[recipient]
        UpperCAmelCase     			=						rec_record[recipient]

        if prev_donor != -1:
            if rec_preference.index(_a	) > rec_preference.index(_a	):
                UpperCAmelCase     			=						donor
                UpperCAmelCase     			=						recipient
                unmatched_donors.append(_a	)
                unmatched_donors.remove(_a	)
        else:
            UpperCAmelCase     			=						donor
            UpperCAmelCase     			=						recipient
            unmatched_donors.remove(_a	)
    return donor_record




