Leetcode: First Bad Version

本文介绍了一种使用二分查找算法来高效确定首次出现故障的产品版本的方法。在一个包含多个连续开发版本的产品中,需要找到最早引入故障的那个版本。通过定义一个API判断版本是否故障,并利用二分查找策略,可以将搜索范围逐步缩小,最终定位到确切的故障版本。

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Question

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.

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My Solution

# 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
        """

        if n==0:
            return 0

        l, r = 1, n
        while l<=r:
            m = (l+r)/2

            if isBadVersion(m):
                if r-l<=1:
                    return l
                else:
                    r = m
            else:
                if r-l<=1:
                    return r
                else:
                    l = m


Solution

Get idea from here.

# 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
        """

        if n==0:
            return 0

        l, r = 1, n
        while l<r:
            m = (l+r)/2

            if isBadVersion(m):
                r = m
            else:
                l = m + 1

        return l

This is a succinct solution.
Note that we change the rule of updating l and r.

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