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.
思路：
这题其实挺简单，思路可以联想到组合问题中的回溯，改变第n位，然后再利用其余n-1位的组合重新组成n位的组合。如果在改变第n位的时候，保持其余n-1位不动，再保持第n位将其余n-1位的序列反着推回去就OK了。
感觉程序没有写出来的必要，举个栗子反而更清楚 n = 4
0
0 0 0
0
0 0 1
0
0 1 |1
0
0 1 |0
0
1 |1 0
0
1 |1 1
0
1 |0 1
0
1 |0 0
1
|1 0 0
1
|1 0 1
1
|1 1 1
1
|1 1 0
1
|0 1 0
1
|0 1 1
1
|0 0 1
1
|0 0 0
【题解】【数学】【排列组合】【Leetcode】Gray Code
原文：http://www.cnblogs.com/wei-li/p/GrayCode.html