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13 changes: 9 additions & 4 deletions bit_manipulation/missing_number.py
Original file line number Diff line number Diff line change
Expand Up @@ -11,11 +11,16 @@ def find_missing_number(nums: list[int]) -> int:
Example:
>>> find_missing_number([0, 1, 3, 4])
2
>>> find_missing_number([1, 3, 4, 5, 6])
2
>>> find_missing_number([6, 5, 4, 2, 1])
3
"""
n = len(nums)
missing_number = n
low = min(nums[0], nums[-1])
high = max(nums[0], nums[-1])
missing_number = high

for i in range(n):
missing_number ^= i ^ nums[i]
for i in range(low, high):
missing_number ^= i ^ nums[i - low]

return missing_number