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[mypy] Fix type annotations for dynamic programming #4687

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@@ -7,7 +7,7 @@

def fractional_knapsack(
value: list[int], weight: list[int], capacity: int
) -> tuple[int, list[int]]:
) -> tuple[float, list[float]]:
"""
>>> value = [1, 3, 5, 7, 9]
>>> weight = [0.9, 0.7, 0.5, 0.3, 0.1]
@@ -32,8 +32,8 @@ def fractional_knapsack(
ratio = [v / w for v, w in zip(value, weight)]
index.sort(key=lambda i: ratio[i], reverse=True)

max_value = 0
fractions = [0] * len(value)
max_value: float = 0
fractions: list[float] = [0] * len(value)
for i in index:
if weight[i] <= capacity:
fractions[i] = 1
@@ -48,13 +48,6 @@ def fractional_knapsack(


if __name__ == "__main__":
n = int(input("Enter number of items: "))
value = input(f"Enter the values of the {n} item(s) in order: ").split()
value = [int(v) for v in value]
weight = input(f"Enter the positive weights of the {n} item(s) in order: ".split())
weight = [int(w) for w in weight]
capacity = int(input("Enter maximum weight: "))

max_value, fractions = fractional_knapsack(value, weight, capacity)
print("The maximum value of items that can be carried:", max_value)
print("The fractions in which the items should be taken:", fractions)
import doctest

doctest.testmod()
@@ -91,7 +91,7 @@ def knapsack_with_example_solution(W: int, wt: list, val: list):
)

optimal_val, dp_table = knapsack(W, wt, val, num_items)
example_optional_set = set()
example_optional_set: set = set()
_construct_solution(dp_table, wt, num_items, W, example_optional_set)

return optimal_val, example_optional_set
@@ -36,7 +36,7 @@ def longest_subsequence(array: list[int]) -> list[int]: # This function is recu
pivot = array[0]
isFound = False
i = 1
longest_subseq = []
longest_subseq: list[int] = []
while not isFound and i < array_length:
if array[i] < pivot:
isFound = True