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hello-algo/en/codes/python/chapter_searching/binary_search.py
Yudong Jin 2778a6f9c7 Translate all code to English (#1836)
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2025-12-31 07:44:52 +08:00

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Python

"""
File: binary_search.py
Created Time: 2022-11-26
Author: timi (xisunyy@163.com)
"""
def binary_search(nums: list[int], target: int) -> int:
"""Binary search (closed interval)"""
# Initialize closed interval [0, n-1], i.e., i, j point to the first and last elements of the array
i, j = 0, len(nums) - 1
# Loop, exit when the search interval is empty (empty when i > j)
while i <= j:
# In theory, Python numbers can be infinitely large (depending on memory size), no need to consider large number overflow
m = (i + j) // 2 # Calculate midpoint index m
if nums[m] < target:
i = m + 1 # This means target is in the interval [m+1, j]
elif nums[m] > target:
j = m - 1 # This means target is in the interval [i, m-1]
else:
return m # Found the target element, return its index
return -1 # Target element not found, return -1
def binary_search_lcro(nums: list[int], target: int) -> int:
"""Binary search (left-closed right-open interval)"""
# Initialize left-closed right-open interval [0, n), i.e., i, j point to the first element and last element+1
i, j = 0, len(nums)
# Loop, exit when the search interval is empty (empty when i = j)
while i < j:
m = (i + j) // 2 # Calculate midpoint index m
if nums[m] < target:
i = m + 1 # This means target is in the interval [m+1, j)
elif nums[m] > target:
j = m # This means target is in the interval [i, m)
else:
return m # Found the target element, return its index
return -1 # Target element not found, return -1
"""Driver Code"""
if __name__ == "__main__":
target = 6
nums = [1, 3, 6, 8, 12, 15, 23, 26, 31, 35]
# Binary search (closed interval)
index = binary_search(nums, target)
print("Index of target element 6 =", index)
# Binary search (left-closed right-open interval)
index = binary_search_lcro(nums, target)
print("Index of target element 6 =", index)