[Leetcode] Gray Code (Java)

本文介绍了一种生成格雷码序列的有效算法。格雷码是一种二进制数系统,其中两个连续的数值只有一位不同。文章提供了一个Java实现示例,用于生成指定位数的格雷码序列。

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.

写出给定n的格雷码:

思考无果,查之见 格雷码

public class Solution {
    public ArrayList<Integer> grayCode(int n) {
    	ArrayList<Integer> res = new ArrayList<Integer>();
		int num = 1<<n;
		for(int i=0;i<num;i++)
			res.add((i>>1)^i);
		return res;        
    }
}


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