

'''simple docstring'''

def 			__UpperCamelCase							(		lowercase__  :					int,   lowercase__  :					List[str]	):






     '''simple docstring'''





     print('\nVertex Distance'	)
     for i in range(lowercase__	):
          if dist[i] != float('inf'	):
               print(lowercase__,   '\t',   int(dist[i]	),   end='\t'	)
          else:
               print(lowercase__,   '\t',   'INF',   end='\t'	)
          print()

def 			__UpperCamelCase							(		lowercase__  :					Union[str, Any],   lowercase__  :					Tuple,   lowercase__  :					Any	):






     '''simple docstring'''





     __lowercase     						=float('inf'	)
     __lowercase     						=-1
     for i in range(lowercase__	):
          if (not vset[i]) and mdist[i] < min_val:
               __lowercase     						=i
               __lowercase     						=mdist[i]
     return min_ind

def 			__UpperCamelCase							(		lowercase__  :					List[str],   lowercase__  :					List[Any],   lowercase__  :					Union[str, Any]	):






     '''simple docstring'''





     __lowercase     						=[float('inf'	) for _ in range(lowercase__	)]
     __lowercase     						=[False for _ in range(lowercase__	)]
     __lowercase     						=0.0

     for _ in range(v - 1	):
          __lowercase     						=min_dist(lowercase__,   lowercase__,   lowercase__	)
          __lowercase     						=True

          for i in range(lowercase__	):
               if (
                   (not vset[i])
                   and graph[u][i] != float('inf'	)
                   and mdist[u] + graph[u][i] < mdist[i]
               ):
                    __lowercase     						=mdist[u] + graph[u][i]

     print_dist(lowercase__,   lowercase__	)


if __name__ == "__main__":
       UpperCAmelCase							=					int(input('''Enter number of vertices: ''').strip())
       UpperCAmelCase							=					int(input('''Enter number of edges: ''').strip())

       UpperCAmelCase							=					[[float('''inf''') for i in range(V)] for j in range(V)]

       for i in range(V):
              UpperCAmelCase							=					0.0

       for i in range(E):
              print('''\nEdge ''', i + 1)
              UpperCAmelCase							=					int(input('''Enter source:''').strip())
              UpperCAmelCase							=					int(input('''Enter destination:''').strip())
              UpperCAmelCase							=					float(input('''Enter weight:''').strip())
              UpperCAmelCase							=					weight

       UpperCAmelCase							=					int(input('''\nEnter shortest path source:''').strip())
       dijkstra(graph, V, gsrc)





'''simple docstring'''

from __future__ import annotations

def 			__UpperCamelCase							(		lowercase__  :					list[int]	):






     '''simple docstring'''





     if not list_of_ints:
          return []

     if min(lowercase__	) < 0:
          raise ValueError('All numbers must be positive'	)

     __lowercase     						=max(len(bin(lowercase__	)[2:]	) for x in list_of_ints	)
     return _msd_radix_sort(lowercase__,   lowercase__	)

def 			__UpperCamelCase							(		lowercase__  :					list[int],   lowercase__  :					int	):






     '''simple docstring'''





     if bit_position == 0 or len(lowercase__	) in [0, 1]:
          return list_of_ints

     __lowercase     						=[]
     __lowercase     						=[]
     # Split numbers based on bit at bit_position from the right
     for number in list_of_ints:
          if (number >> (bit_position - 1)) & 1:
               # number has a one at bit bit_position
               ones.append(lowercase__	)
          else:
               # number has a zero at bit bit_position
               zeros.append(lowercase__	)

    # recursively split both lists further
     __lowercase     						=_msd_radix_sort(lowercase__,   bit_position - 1	)
     __lowercase     						=_msd_radix_sort(lowercase__,   bit_position - 1	)

     # recombine lists
     __lowercase     						=zeros
     res.extend(lowercase__	)

     return res

def 			__UpperCamelCase							(		lowercase__  :					list[int]	):






     '''simple docstring'''





     __lowercase     						=len(lowercase__	)
     if not list_of_ints or length == 1:
          return

     if min(lowercase__	) < 0:
          raise ValueError('All numbers must be positive'	)

     __lowercase     						=max(len(bin(lowercase__	)[2:]	) for x in list_of_ints	)
     _msd_radix_sort_inplace(lowercase__,   lowercase__,   0,   lowercase__	)

def 			__UpperCamelCase							(		lowercase__  :					list[int],   lowercase__  :					int,   lowercase__  :					int,   lowercase__  :					int	):






     '''simple docstring'''





     if bit_position == 0 or end_index - begin_index <= 1:
          return

     bit_position -= 1

     __lowercase     						=begin_index
     __lowercase     						=end_index - 1
     while i <= j:
          __lowercase     						=False
          if not (list_of_ints[i] >> bit_position) & 1:
               # found zero at the beginning
               i += 1
               __lowercase     						=True
          if (list_of_ints[j] >> bit_position) & 1:
               # found one at the end
               j -= 1
               __lowercase     						=True

          if changed:
               continue

          __lowercase						,       __lowercase     						=list_of_ints[j], list_of_ints[i]
          j -= 1
          if j != i:
               i += 1

     _msd_radix_sort_inplace(lowercase__,   lowercase__,   lowercase__,   lowercase__	)
     _msd_radix_sort_inplace(lowercase__,   lowercase__,   lowercase__,   lowercase__	)


if __name__ == "__main__":
       import doctest

       doctest.testmod()


