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(难度Medium)Problem 89. Gray Code(灰色代码)

链接

Gray Code - LeetCode

难度等级

Medium

题干

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.

题意

灰色代码的意思是指一个整数序列,使得序列当中的两个相邻元素的二进制形式只相差一个二进制位。并且要求第一个元素一定是0.

给定一个非负整数n,代表灰色代码二进制的位数。要求这个序列当中的所有元素。

样例

Example 1:

**Input:** 2
**Output:** [0,1,3,2]
**Explanation:**
00 - 0
01 - 1
11 - 3
10 - 2

For a given *n*, a gray code sequence may not be uniquely defined.
For example, [0,2,3,1] is also a valid gray code sequence.

00 - 0
10 - 2
11 - 3
01 - 1

Example 2:

```
Input: 0
Output: [0]
Explanation: We define the gray code sequence to begin with 0.
A gray code sequence of n has size = 2n, which for n = 0 the size is 20 = 1.

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