Approach #1: Convert to String [Accepted]

Intuition and Algorithm

Let's convert the given number into a string of binary digits. Then, we should simply check that no two adjacent digits are the same.

Complexity Analysis

  • Time Complexity: . For arbitrary inputs, we do work, where is the number of bits in n. However, .

  • Space complexity: , or alternatively .


Approach #2: Divide By Two [Accepted]

Intuition and Algorithm

We can get the last bit and the rest of the bits via n % 2 and n // 2 operations. Let's remember cur, the last bit of n. If the last bit ever equals the last bit of the remaining, then two adjacent bits have the same value, and the answer is False. Otherwise, the answer is True.

Also note that instead of n % 2 and n // 2, we could have used operators n & 1 and n >>= 1 instead.

Complexity Analysis

  • Time Complexity: . For arbitrary inputs, we do work, where is the number of bits in n. However, .

  • Space complexity: .


Analysis written by: @awice