The Hamming distance between two integers is the number of positions at which the corresponding bits are different.
Now your job is to find the total Hamming distance between all pairs of the given numbers.
Example:
Input: 4, 14, 2 Output: 6 Explanation: In binary representation, the 4 is 0100, 14 is 1110, and 2 is 0010 (just showing the four bits relevant in this case). So the answer will be: HammingDistance(4, 14) + HammingDistance(4, 2) + HammingDistance(14, 2) = 2 + 2 + 2 = 6.
Note:
- Elements of the given array are in the range of
0to10^9 - Length of the array will not exceed
10^4.
class Solution1(object):def totalHammingDistance(self, nums):""":type nums: List[int]:rtype: int"""res = 0bins = []for num in nums:bins.append(‘{0:b}‘.format(num).zfill(32))for i in range(32):bitCount = 0# zeroCountfor num in bins:if num[i] is ‘1‘:bitCount += 1# zeroCount = (len(nums) - bitCount)res += bitCount * (len(nums) - bitCount)return resclass Solution2(object):def totalHammingDistance(self, nums):res = 0for i in range(32):bitCount = 0for num in nums:bitCount += num >> i & 1res += bitCount * (len(nums) - bitCount)return resnums = [4, 14, 2]s = Solution1()res = s.totalHammingDistance(nums)print(res)
