

"""simple docstring"""



def  _snake_case     (    UpperCAmelCase_  :					Dict					,   UpperCAmelCase_  :					Optional[Any]					,   UpperCAmelCase_  :					Dict					,   UpperCAmelCase_  :					Dict			):
     # Return True if there is node that has not iterated.
     A__										=  [False] * len(UpperCAmelCase_			)
     A__										=  []
     queue.append(UpperCAmelCase_			)
     A__										=  True

     while queue:
          A__										=  queue.pop(0			)
          for ind in range(len(graph[u]			)			):
               if visited[ind] is False and graph[u][ind] > 0:
                    queue.append(UpperCAmelCase_			)
                    A__										=  True
                    A__										=  u

     return visited[t]





def  _snake_case     (    UpperCAmelCase_  :					Tuple					,   UpperCAmelCase_  :					Union[str, Any]					,   UpperCAmelCase_  :					List[str]			):
     # This array is filled by BFS and to store path
     A__										=  [-1] * (len(UpperCAmelCase_			))
     A__										=  0
     while bfs(UpperCAmelCase_					,   UpperCAmelCase_					,   UpperCAmelCase_					,   UpperCAmelCase_			):
          A__										=  float("""Inf"""			)
          A__										=  sink

          while s != source:
               # Find the minimum value in select path
               A__										=  min(UpperCAmelCase_					,   graph[parent[s]][s]			)
               A__										=  parent[s]

          max_flow += path_flow
          A__										=  sink

          while v != source:
               A__										=  parent[v]
               graph[u][v] -= path_flow
               graph[v][u] += path_flow
               A__										=  parent[v]
     return max_flow


SCREAMING_SNAKE_CASE_					:	Dict							  =						[
    [0, 1_6, 1_3, 0, 0, 0],
    [0, 0, 1_0, 1_2, 0, 0],
    [0, 4, 0, 0, 1_4, 0],
    [0, 0, 9, 0, 0, 2_0],
    [0, 0, 0, 7, 0, 4],
    [0, 0, 0, 0, 0, 0],
]

SCREAMING_SNAKE_CASE_  ,SCREAMING_SNAKE_CASE_					:	Any							  =						0, 5

print(ford_fulkerson(graph, source, sink))









"""simple docstring"""



import math
import sys





def  _snake_case     (    UpperCAmelCase_  :					int			):
     if number != int(UpperCAmelCase_			):
          raise ValueError("""the value of input must be a natural number"""			)
     if number < 0:
          raise ValueError("""the value of input must not be a negative number"""			)
     if number == 0:
          return 1
     A__										=  [-1] * (number + 1)
     A__										=  0
     for i in range(1					,   number + 1			):
          A__										=  sys.maxsize
          A__										=  int(math.sqrt(UpperCAmelCase_			)			)
          for j in range(1					,   root + 1			):
               A__										=  1 + answers[i - (j**2)]
               A__										=  min(UpperCAmelCase_					,   UpperCAmelCase_			)
          A__										=  answer
     return answers[number]


if __name__ == "__main__":
 import doctest

 doctest.testmod()






