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[mypy] Fix type annotations for dynamic programming (#4687)
* Fix mypy error for knapsack.py * Fix mypy error for longest_increasing_subsequence * Fix mypy error for fractional_knapsack_2.py
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@ -7,7 +7,7 @@ from __future__ import annotations
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def fractional_knapsack(
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value: list[int], weight: list[int], capacity: int
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) -> tuple[int, list[int]]:
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) -> tuple[float, list[float]]:
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"""
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>>> value = [1, 3, 5, 7, 9]
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>>> weight = [0.9, 0.7, 0.5, 0.3, 0.1]
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@ -32,8 +32,8 @@ def fractional_knapsack(
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ratio = [v / w for v, w in zip(value, weight)]
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index.sort(key=lambda i: ratio[i], reverse=True)
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max_value = 0
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fractions = [0] * len(value)
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max_value: float = 0
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fractions: list[float] = [0] * len(value)
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for i in index:
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if weight[i] <= capacity:
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fractions[i] = 1
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@ -48,13 +48,6 @@ def fractional_knapsack(
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if __name__ == "__main__":
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n = int(input("Enter number of items: "))
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value = input(f"Enter the values of the {n} item(s) in order: ").split()
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value = [int(v) for v in value]
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weight = input(f"Enter the positive weights of the {n} item(s) in order: ".split())
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weight = [int(w) for w in weight]
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capacity = int(input("Enter maximum weight: "))
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import doctest
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max_value, fractions = fractional_knapsack(value, weight, capacity)
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print("The maximum value of items that can be carried:", max_value)
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print("The fractions in which the items should be taken:", fractions)
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doctest.testmod()
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