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Fixed missing number algorithm #10404

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10 changes: 4 additions & 6 deletions bit_manipulation/missing_number.py
Original file line number Diff line number Diff line change
Expand Up @@ -9,13 +9,11 @@ def find_missing_number(nums: list[int]) -> int:
The missing number.

Example:
>>> find_missing_number([0, 1, 3, 4])
>>> find_missing_number([1, 3, 4, 5, 6])
2
"""
n = len(nums)
missing_number = n
expected_sum = (n + 1) * (nums[0] + nums[-1]) // 2
actual_sum = sum(nums)

for i in range(n):
missing_number ^= i ^ nums[i]

return missing_number
return expected_sum - actual_sum