


from collections import defaultdict

from graphs.minimum_spanning_tree_prims import prisms_algorithm as mst
def 							_UpperCAmelCase				():
       _A    ,			_A      :       Tuple				    = 9, 14  # noqa: F841
       _A      :       Optional[int]				    = [
           [0, 1, 4],
           [0, 7, 8],
           [1, 2, 8],
           [7, 8, 7],
           [7, 6, 1],
           [2, 8, 2],
           [8, 6, 6],
           [2, 3, 7],
           [2, 5, 4],
           [6, 5, 2],
           [3, 5, 14],
           [3, 4, 9],
           [5, 4, 10],
           [1, 7, 11],
       ]

       _A      :       Optional[Any]				    = defaultdict(lowerCamelCase__						)
       for nodea, nodea, cost in edges:
              adjancency[nodea].append([nodea, cost]						)
              adjancency[nodea].append([nodea, cost]						)

       _A      :       Union[str, Any]				    = mst(lowerCamelCase__						)

       _A      :       List[str]				    = [
           [7, 6, 1],
           [2, 8, 2],
           [6, 5, 2],
           [0, 1, 4],
           [2, 5, 4],
           [2, 3, 7],
           [0, 7, 8],
           [3, 4, 9],
       ]

       for answer in expected:
              _A      :       str				    = tuple(answer[:2]						)
              _A      :       str				    = tuple(edge[::-1]						)
              assert edge in result or reverse in result


def 			lowerCamelCase_ (				lowerCamelCase__	, lowerCamelCase__    ):
				lowerCamelCase_						=			[0 for i in range(r + 1    )]
				# nc0 = 1
				lowerCamelCase_						=			1
				for i in range(1	, n + 1    ):
								# to compute current row from previous row.
								lowerCamelCase_						=			min(lowerCamelCase__	, lowerCamelCase__    )
								while j > 0:
												c[j] += c[j - 1]
												j -= 1
				return c[r]





print(binomial_coefficient(n=1_0, r=5))


