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Missing Number

Learn how to solve the 'Missing Number' problem. This detailed resource details brute force and optimized approaches.

Problem Statement

Easy

Given an array nums containing n distinct numbers in the range [0, n], return the only number in the range that is missing from the array.

Write a function missingNumber(nums: List[int]) -> int.

Constraints
  • n == len(nums)
  • 1 <= n <= 10^4
  • 0 <= nums[i] <= n
  • All the numbers of nums are unique

Examples

Example 1
Input
nums = [3,0,1]
Output
2
Explanation

n = 3, range [0,3]. 2 is missing.

Example 2
Input
nums = [0,1]
Output
2
Explanation

n = 2, range [0,2]. 2 is missing.

Example 3
Input
nums = [9,6,4,2,3,5,7,0,1]
Output
8
Explanation

n = 9, range [0,9]. 8 is missing.

Need a Hint?
Analyze the input constraints. Try sorting first (O(n log n)) or using a hash map/set to track seen elements in O(n) time.
Edge Cases to Watch
  • Empty list or null input variables
  • Single item lists/arrays
  • Extremely large input bounds causing integer or stack overflow

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