gray-code （格雷码）

题目描述

The gray code（格雷码） 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.

For example, given n = 2, return[0,1,3,2]. Its gray code sequence is:

00 - 0

01 - 1

11 - 3

10 - 2

Note:
For a given n, a gray code sequence is not uniquely defined.

For example,[0,2,3,1]is also a valid gray code sequence according to the above definition.

For now, the judge is able to judge based on one instance of gray code sequence. Sorry about that.

什么是格雷码？

　　格雷码是一种循环二进制单位距离码，主要特点是两个相邻数的代码只有一位二进制数不同的编码，格雷码的处理主要是位操作 Bit Operation

解题思路：

• 二进制码->格雷码（编码）：从最右边一位起，依次将每一位与左边一位异或（XOR），作为对应格雷码该位的值，最左边一位不变（相当于左边是0）；

• 格雷码->二进制码（解码）：

　　从左边第二位起，将每位与左边一位解码后的值异或，作为该位解码后的值。

AC代码：

class Solution {

public:

    vector<int> grayCode(int n) {

        vector<int> res;

        for(int i=;i<pow(,n);i++){

            res.push_back((i>>)^i);

        }

        return res;

    }

};