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.

思路

bool isBadVersion(version)这个函数已经以API的形式给出。我们利用二分法搜索即可得到结果。

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# The isBadVersion API is already defined for you.
# @param version, an integer
# @return a bool
# def isBadVersion(version):
class Solution(object):
    def firstBadVersion(self, n):
        """
        :type n: int
        :rtype: int
        """
        low = 0
        high = n
        mid = 0
        while 0 <= mid <= n:
            mid = low + (high - low) / 2
            if isBadVersion(mid):
                if mid == 0:
                    return 0
                else:
                    if isBadVersion(mid-1):
                        high = mid
                    else:
                        return mid
            else:
                low = mid + 1