89. Gray Code

The gray code is a binary numeral system where two successive values differ in only one bit.

Given a non-negative integer?n?representing the total number of bits in the code,print the sequence of gray code. A gray code sequence must begin with 0.

Example 1:

Input:?2
Output:?
Explanation:
00 - 0
01 - 1
11 - 3
10 - 2

For a given?n,a gray code sequence may not be uniquely defined.
For example,[0,2,3,1] is also a valid gray code sequence.

00 - 0
10 - 2
11 - 3
01 - 1
[0,1,2]

Example 2:

Input:?0
Output:?[0]
Explanation: We define the gray code sequence to begin with 0.
?            A gray code sequence of n has size = 2n,which for n = 0 the size is 20 = 1.
?            Therefore,for n = 0 the gray code sequence is [0].

?

AC code:

class Solution {
public:
    vector<int> grayCode(int n) {
        vector<int> res;
        
        for (int i = 0; i < 1 << n; ++i) {
            res.push_back(i ^ i >> 1);
        }
        
        return res;
    }
};

Runtime:?4 ms,faster than?71.82%?of?C++?online submissions for?Gray Code.

?

there are some regular patterns:

i = 0

i^i>>1　　00

i = 1

i^i>>1　　01

i = 2

i^i>>1　　11

i = 3

i^i>>1　　10