First Bad Version

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 have n versions [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 API bool isBadVersion(version) which will return whether version is bad. Implement a function to find the first bad version. You should minimize the number of calls to the API.

Credits:
Special thanks to @jianchao.li.fighter for adding this problem and creating all test cases.

解题技巧：

采用二分查找法，并且主要在求mid的时候，采用mid = bg + (ed - bg)/2，如果使用mid = (bg + ed)/2，当bg、ed都很大时，可能发生数据溢出。

代码：

int firstBadVersion(int n) {
        int bg = 1, ed = n, mid;
        while(bg <= ed)
        {
            mid = bg + (ed - bg)/2;
            if(isBadVersion(mid)) 
            {
                if(bg == ed) return bg;
                ed = mid;
            }
               
            else 
                bg = mid+1;
        }   
    }