The latest version of a software product has failed the quality check. Because each version builds on the previous one, all versions developed after a bad version are also considered bad. You are given n versions identified by integers $[1, 2,3, \dots, n]$, and an API function is_bad_version(version) that returns TRUE if a given version is bad.

Your task is to find the first bad version that causes all subsequent versions to fail while minimizing the number of API calls.

Constraints:

• $1 \leq$ first bad version $\leq$ n