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 2 { 3 public: 4 /* 5 * for reference: http://en.wikipedia.org/wiki/Gray_code. 6 */ 7 vector<int> grayCode(int n) 8 { 9 vector<int> ret; 10 int size = 1 << n; 11 for(int i = 0; i < size; ++i) 12 ret.push_back((i >> 1)^i); 13 return ret; 14 } 15 };