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This approach uses the concept of binary search to efficiently find the first bad version by minimizing the number of calls made to the given isBadVersion API. By leveraging binary search, we can reduce the problem set size by half with each iteration, therefore achieving O(log n) time complexity.
Time Complexity: O(log n)
Space Complexity: O(1)
1public class Solution : VersionControl {
2 public int FirstBadVersion(int n) {
3 int left = 1, right = n;
4 while (left < right) {
5 int mid = left + (right - left) / 2;
6 if (IsBadVersion(mid)) right = mid;
7 else left = mid + 1;
8 }
9 return left;
10 }
11}This C# implementation mirrors the binary search technique to find the first bad version. Update the right or left point when the middle version check is bad or good, respectively. The point where they meet is the first bad version.
This approach explores a recursive implementation of the binary search technique to identify the first bad version. Employing recursion allows the continual division of the search problem into smaller subproblems until the solution is found.
Time Complexity: O(log n)
Space Complexity: O(log n) - due to recursion stack
1class
This Python solution embeds a binarySearch helper function to recursively zero in on the first bad version. Each call analyzes the status of the mid-point version, narrowing the searcher's focus until the exact location of the first bad version is discerned.