# Time:  O(n)
# Space: O(1)

import operator
import collections


class Solution(object):
    # @param {integer[]} nums
    # @return {integer[]}
    def singleNumber(self, nums):
        x_xor_y = reduce(operator.xor, nums)
        bit =  x_xor_y & -x_xor_y
        result = [0, 0]
        for i in nums:
            result[bool(i & bit)] ^= i
        return result


class Solution2(object):
    # @param {integer[]} nums
    # @return {integer[]}
    def singleNumber(self, nums):
        x_xor_y = 0
        for i in nums:
            x_xor_y ^= i

        bit = x_xor_y & ~(x_xor_y - 1)

        x = 0
        for i in nums:
            if i & bit:
                x ^= i

        return [x, x ^ x_xor_y]


class Solution3(object):
    def singleNumber(self, nums):
        """
        :type nums: List[int]
        :rtype: List[int]
        """
        return [x[0] for x in sorted(collections.Counter(nums).items(), key=lambda i: i[1], reverse=False)[:2]]