leetcode89 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.

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.

 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 };
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posted @ 2016-01-06 16:06  西小贝  阅读(153)  评论(0)    收藏  举报