You are a product manager and currently leading a team to develop a new product. Unfortunately, the latest version of your product fails the quality check. Since each version is developed based on the previous version, all the versions after a bad version are also bad.

Suppose you havenversions[1, 2, ..., n]and you want to find out the first bad one, which causes all the following ones to be bad.

You are given an APIbool isBadVersion(version)which will return whetherversionis bad. Implement a function to find the first bad version. You should minimize the number of calls to the API.

Example:

Given n = 5, and version = 4 is the first bad version.

call isBadVersion(3) -> false
call isBadVersion(5)-> true
call isBadVersion(4)-> true

Then 4 is the first bad version.

/* The isBadVersion API is defined in the parent class VersionControl.
      boolean isBadVersion(int version); */

public class Solution extends VersionControl {
    public int firstBadVersion(int n) {
        int low = 1;
        int high = n;
        int mid=0;
        while(low<high){
        
        mid= low + (high-low)/2;
        if(isBadVersion(mid)==false) {
            low = mid+1;
            
        }else{
            high = mid;
            
        }
        }
        return low;
    }
}

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