




'''simple docstring'''





from __future__ import annotations

import typing
from collections import Counter

def 			a   (_lowerCAmelCase     ):
							SCREAMING_SNAKE_CASE_   	=    Counter()
							for base in range(1  ,    max_perimeter + 1     ):
														for perpendicular in range(_lowerCAmelCase  ,    max_perimeter + 1     ):
																					SCREAMING_SNAKE_CASE_   	=    (base * base + perpendicular * perpendicular) ** 0.5
																					if hypotenuse == int(_lowerCAmelCase     ):
																												SCREAMING_SNAKE_CASE_   	=    int(base + perpendicular + hypotenuse     )
																												if perimeter > max_perimeter:
																																			continue
																												triplets[perimeter] += 1
							return triplets

def 			a   (_lowerCAmelCase = 1_0_0_0     ):
							SCREAMING_SNAKE_CASE_   	=    pythagorean_triple(_lowerCAmelCase     )
							return triplets.most_common(1     )[0][0]


if __name__ == "__main__":
			print(f"""Perimeter {solution()} has maximum solutions""")








from __future__ import annotations

__SCREAMING_SNAKE_CASE 						={
    """A""": ["""B""", """C""", """E"""],
    """B""": ["""A""", """D""", """E"""],
    """C""": ["""A""", """F""", """G"""],
    """D""": ["""B"""],
    """E""": ["""A""", """B""", """D"""],
    """F""": ["""C"""],
    """G""": ["""C"""],
}






class  __magic_name__						:
				'''simple docstring'''







				def __init__(							self:   List[Any]		,					_lowerCamelCase:   dict[str, list[str]]		,					_lowerCamelCase:   str		):
											SCREAMING_SNAKE_CASE_   	=    graph
											# mapping node to its parent in resulting breadth first tree
											SCREAMING_SNAKE_CASE_   	=    {}
											SCREAMING_SNAKE_CASE_   	=    source_vertex


				def     _A							(							self:   Tuple		):
											SCREAMING_SNAKE_CASE_   	=    {self.source_vertex}
											SCREAMING_SNAKE_CASE_   	=    None
											SCREAMING_SNAKE_CASE_   	=    [self.source_vertex]  # first in first out queue

											while queue:
																		SCREAMING_SNAKE_CASE_   	=    queue.pop(0		)
																		for adjacent_vertex in self.graph[vertex]:
																									if adjacent_vertex not in visited:
																																visited.add(_lowerCamelCase		)
																																SCREAMING_SNAKE_CASE_   	=    vertex
																																queue.append(_lowerCamelCase		)





				def     _A							(							self:   List[str]		,					_lowerCamelCase:   str		):
											if target_vertex == self.source_vertex:
																		return self.source_vertex

											SCREAMING_SNAKE_CASE_   	=    self.parent.get(_lowerCamelCase		)
											if target_vertex_parent is None:
																		SCREAMING_SNAKE_CASE_   	=    (
																		    f"No path from vertex: {self.source_vertex} to vertex: {target_vertex}"
																		)
																		raise ValueError(_lowerCamelCase		)

											return self.shortest_path(_lowerCamelCase		) + f"->{target_vertex}"


if __name__ == "__main__":
			__SCREAMING_SNAKE_CASE 						=Graph(graph, """G""")
			g.breath_first_search()
			print(g.shortest_path("""D"""))
			print(g.shortest_path("""G"""))
			print(g.shortest_path("""Foo"""))


