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47 lines
1.5 KiB
Markdown
Executable File
47 lines
1.5 KiB
Markdown
Executable File
# [89. Gray Code](https://leetcode.com/problems/gray-code/)
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## 题目
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The gray code is a binary numeral system where two successive values differ in only one bit.
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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.
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**Example 1:**
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Input: 2
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Output: [0,1,3,2]
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Explanation:
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00 - 0
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01 - 1
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11 - 3
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10 - 2
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For a given n, a gray code sequence may not be uniquely defined.
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For example, [0,2,3,1] is also a valid gray code sequence.
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00 - 0
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10 - 2
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11 - 3
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01 - 1
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**Example 2:**
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Input: 0
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Output: [0]
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Explanation: We define the gray code sequence to begin with 0.
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A gray code sequence of n has size = 2n, which for n = 0 the size is 20 = 1.
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Therefore, for n = 0 the gray code sequence is [0].
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## 题目大意
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格雷编码是一个二进制数字系统，在该系统中，两个连续的数值仅有一个位数的差异。给定一个代表编码总位数的非负整数 n，打印其格雷编码序列。格雷编码序列必须以 0 开头。
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## 解题思路
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- 输出 n 位格雷码
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- 格雷码生成规则：以二进制为0值的格雷码为第零项，第一次改变最右边的位元，第二次改变右起第一个为1的位元的左边位元，第三、四次方法同第一、二次，如此反复，即可排列出 n 个位元的格雷码。
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- 可以直接模拟，也可以用递归求解。
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