



from __future__ import annotations


def    lowerCamelCase_(lowerCamelCase_    ,   lowerCamelCase_    ,   lowerCamelCase_    ) ->       tuple[float, list[float]]:
						UpperCAmelCase         =     list(range(len(lowerCamelCase_    )    )    )
						UpperCAmelCase         =     [v / w for v, w in zip(lowerCamelCase_    ,   lowerCamelCase_    )]
						index.sort(key=lambda lowerCamelCase_    : ratio[i]    ,   reverse=lowerCamelCase_    )

						UpperCAmelCase         =     0
						UpperCAmelCase         =     [0] * len(lowerCamelCase_    )
						for i in index:
												if weight[i] <= capacity:
																		UpperCAmelCase         =     1
																		max_value += value[i]
																		capacity -= weight[i]
												else:
																		UpperCAmelCase         =     capacity / weight[i]
																		max_value += value[i] * capacity / weight[i]
																		break

						return max_value, fractions


if __name__ == "__main__":
		import doctest

		doctest.testmod()








from __future__ import annotations

def    lowerCamelCase_(lowerCamelCase_    ) ->       int:
						UpperCAmelCase         =     len(lowerCamelCase_    ) // 2

						# choose the middle 3 elements
						UpperCAmelCase         =     lst[m - 1 : m + 2]

						# if middle element is peak
						if three[1] > three[0] and three[1] > three[2]:
												return three[1]

						# if increasing, recurse on right
						elif three[0] < three[2]:
												if len(lst[:m]    ) == 2:
																		m -= 1
												return peak(lst[m:]    )

						# decreasing
						else:
												if len(lst[:m]    ) == 2:
																		m += 1
												return peak(lst[:m]    )


if __name__ == "__main__":
		import doctest

		doctest.testmod()



