Find Missing Number in Sorted Array of Distinct?
Short answer: Integers int FindMissingNumber(int[] nums) { int low = 0, high = nums.Length - 1; while (low <= high) { int mid = low + (high - low) / 2; if (nums[mid] == mid) low = mid + 1; else high = mid - 1; } return low; } Explanation: In perfect array nums[i] == i; missing number breaks this property, use binary search to find breakpoint. Mathematical Problems
Example code
Integers
int FindMissingNumber(int[] nums)
{
int low = 0, high = nums.Length - 1; while (low <= high) {
int mid = low + (high - low) / 2;
if (nums[mid] == mid)
low = mid + 1; else high = mid - 1;
}
return low;
} Explanation: In perfect array nums[i] == i; missing number breaks this property, use binary search to find breakpoint. Mathematical Problems
Real-world example (ShopNest)
In coding rounds, state complexity aloud, write a clear ShopNest-flavored example (orders, carts), then handle edge cases (empty list, null, overflow).
Say this in the interview
- Define — one clear sentence (the short answer above).
- Example — relate it to a project like ShopNest or your real work.
- Trade-off — when you would not use it.
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