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LeetCode 191 Number of 1 Bits

LeetCode

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Write a function that takes an unsigned integer and returns the number of '1' bits it has (also known as the Hamming weight).

Note:

  • Note that in some languages, such as Java, there is no unsigned integer type. In this case, the input will be given as a signed integer type. It should not affect your implementation, as the integer's internal binary representation is the same, whether it is signed or unsigned.
  • In Java, the compiler represents the signed integers using 2's complement notation. Therefore, in Example 3, the input represents the signed integer. -3.

Example 1:

<pre>Input: n = 00000000000000000000000000001011 Output: 3 Explanation: The input binary string 00000000000000000000000000001011 has a total of three '1' bits. </pre>

Example 2:

<pre>Input: n = 00000000000000000000000010000000 Output: 1 Explanation: The input binary string 00000000000000000000000010000000 has a total of one '1' bit. </pre>

Example 3:

<pre>Input: n = 11111111111111111111111111111101 Output: 31 Explanation: The input binary string 11111111111111111111111111111101 has a total of thirty one '1' bits. </pre>

Constraints:

  • The input must be a binary string of length 32.

Follow up: If this function is called many times, how would you optimize it?</div>

题目大意:

求二进制上1的个数

解题思路:

用n & n - 1来去掉最左的1

解题步骤:

N/A

注意事项:

  1. 用n & n - 1来去掉最左的1

Python代码:

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def hammingWeight(self, n: int) -> int:
count = 0
while n:
n = n & (n - 1)
count += 1
return count

算法分析:

时间复杂度为O(n),空间复杂度O(1)

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