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.
class Solution { public: vector<int> grayCode(int n) { vector<int> res; res.push_back(0); if(n<1)//input:0,expected output:[0] return res; int index,diffValue; for(int i=0;i<n;i++){ diffValue = (1<<i); index = res.size(); while(index){ index--; res.push_back(res[index]+diffValue); }//end while }//end for return res; } };