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.
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.
![](https://images.cnblogs.com/OutliningIndicators/ContractedBlock.gif)
1 class Solution { //列举n为1、2、3等前几种情况,找规律,模拟 2 public: 3 vector<int> grayCode(int n) { 4 vector<int> ans; 5 ans.push_back(0); 6 for(int i=1;i<=n;i++) 7 getgray(ans,i); 8 return ans; 9 } 10 void getgray(vector<int>&ans,int i) 11 { 12 int size=ans.size(); 13 for(int a=size-1;a>=0;a--) 14 { 15 ans.push_back(1<<(i-1)|ans[a]); 16 } 17 } 18 };