LeetCode——Gray Code

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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 - 001 - 111 - 310 - 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.


Java代码:

public class Solution {    public List<Integer> grayCode(int n) {        List list = new ArrayList<Integer>();int len =0;if (n == 0){ list.add(0);return list;}if (n == 1) {list.add(0);list.add(1);return list;}list = grayCode(n - 1);len = list.size();for (int i = 0; i < len; i++)list.add((Integer) list.get(len-1-i) + (1 << (n - 1)));return list;    }}

 

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