leetcode 693. Binary Number with Alternating Bits

本文介绍了一种算法,用于判断一个正整数的二进制表示中相邻位是否交替出现0和1。提供了三种不同的实现方法:逐位比较、通过移位和加法简化判断条件以及直接利用Python内置的bin函数。

Given a positive integer, check whether it has alternating bits: namely, if two adjacent bits will always have different values.

Example 1:

Input: 5
Output: True
Explanation:
The binary representation of 5 is: 101

Example 2:

Input: 7
Output: False
Explanation:
The binary representation of 7 is: 111.

Example 3:

Input: 11
Output: False
Explanation:
The binary representation of 11 is: 1011.

Example 4:

Input: 10
Output: True
Explanation:
The binary representation of 10 is: 1010.

解法1:
class Solution(object):
    def hasAlternatingBits(self, n):
        """
        :type n: int
        :rtype: bool
        """
        # check every bit is diff from last bit
        last_bit = n & 1
        n = n >> 1        
        while n:             
            bit = n & 1
            if last_bit + bit != 1:
                return False
            last_bit = bit
            n = n >> 1
        return True              

解法2: 移位再相加后,看是否为2的n次方

class Solution(object):
    def hasAlternatingBits(self, n):
        """
        :type n: int
        :rtype: bool
        """
        num = n + (n >> 1) + 1
        return (num & (num-1)) == 0
        

解法3:直接使用bin函数

def hasAlternatingBits(self, n):
        s = bin(n)
        return '00' not in s and '11' not in s

 

 

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