2019-12-02 20:54:31 +02:00
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#!/usr/bin/env python
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import random
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2022-04-26 06:36:58 +02:00
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from typing import List
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2019-12-02 20:54:31 +02:00
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2021-07-12 02:02:57 +03:00
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2022-04-26 06:36:58 +02:00
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def binary_search(arr: List[int], lb: int, ub: int, target: int) -> int:
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2021-06-27 23:01:11 +05:30
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"""
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2021-07-12 02:02:57 +03:00
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A Binary Search Example which has O(log n) time complexity.
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2021-06-27 23:01:11 +05:30
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"""
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2020-01-17 18:15:07 +05:30
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if lb <= ub:
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2022-06-27 07:20:27 +00:00
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mid: int = lb + (ub - lb) // 2
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2020-01-17 18:15:07 +05:30
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if arr[mid] == target:
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2019-12-02 20:54:31 +02:00
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return mid
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2020-01-17 18:15:07 +05:30
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elif arr[mid] < target:
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return binary_search(arr, mid + 1, ub, target)
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2019-12-02 20:54:31 +02:00
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else:
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2020-01-17 18:15:07 +05:30
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return binary_search(arr, lb, mid - 1, target)
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2019-12-02 20:54:31 +02:00
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else:
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return -1
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2021-07-12 02:02:57 +03:00
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2021-06-27 23:01:11 +05:30
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if __name__ == '__main__':
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2022-04-26 06:36:58 +02:00
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rand_num_li: List[int] = sorted([random.randint(1, 50) for _ in range(10)])
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target: int = random.randint(1, 50)
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2021-06-27 23:01:11 +05:30
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print("List: {}\nTarget: {}\nIndex: {}".format(
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rand_num_li, target,
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binary_search(rand_num_li, 0, len(rand_num_li) - 1, target)))
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