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.
Approach : Use binary search to find the lowest bad version.
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 | // Forward declaration of isBadVersion API. bool isBadVersion(int version); int first(int low, int high){ if(isBadVersion(low)){ return low; } int mid = low + (high - low) / 2; //if it is the first bad version or the version before it is not a bad version then return this version if((mid == 0 || !isBadVersion(mid - 1)) && isBadVersion(mid)){ return mid; }else if(isBadVersion(mid)){ //find a smaller bad version return first(low, mid - 1); }else{ //find a larger bad version return first(mid + 1, high); } } int firstBadVersion(int n) { return first(0, n - 1); } |