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leetcode_Gray Code

2015-05-15 10:31 363 查看
描述:

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:

1.n位格雷码对应有1<<n个数

2.每个数字对应的格雷码的对应的计算公式为:i^(i/2)

代码:

public List<Integer> grayCode(int n) {
List<Integer>list=new ArrayList<Integer>();
if(n<0)
return list;
n=1<<n;
for(int i=0;i<n;i++)
list.add((i^(i/2)));
return list;
}
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