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【leetcode】Gray Code

时间:2015-01-19 23:24:55      阅读:311      评论:0      收藏:0      [点我收藏+]

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.

 
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观察可以发现,
n位的格雷码前一半元素与n-1的格雷码元素完全相同
后半部分等于前半部分逆序,在加上最高位,即1<<(n-1);
 
 1 class Solution {
 2 public:
 3     vector<int> grayCode(int n) {
 4        
 5         if(n==0) return vector<int>(1,0);
 6        
 7         vector<int> preCode=grayCode(n-1);
 8        
 9         for(int i=preCode.size()-1;i>=0;i--)
10         {
11             int tmp=1<<(n-1);
12             preCode.push_back(preCode[i]+tmp);
13         }
14        
15         return preCode;
16     }
17 };

 

【leetcode】Gray Code

原文:http://www.cnblogs.com/reachteam/p/4234922.html

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