nt it without using extra memory? Solution: 32 bits for each integer. Consider 1 bit in it, the sum of each integer's corresponding bit (except for the single number) should be 0 if mod by 3. Hence, we sum the b

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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1.By own answer in short time. 

 an array of integers, every element appears
three times except for one, which appears exactly once.
Find that single one.

Note:
Your algorithm should have a linear runtime complexity.
Could you implement it without using extra memory?


Solution:
32 bits for each integer.
Consider 1 bit in it, the sum of each integer's corresponding bit
(except for the single number)
should be 0 if mod by 3. Hence, we sum the bits of all
integers and mod by 3,
the remaining should be the exact bit of the single number.
In this way, you get the 32 bits of the single number.
"""

# Another awesome answer
def single_number2(nums):
    ones, twos = 0, 0
    for i in range(len(nums)):
        ones = (ones ^ nums[i]) & ~twos.

Toko-. 

 

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