LEETCODE: Gray Code

最新推荐文章于 2025-12-05 14:37:41 发布

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#LEETCODE #算法 #格雷码

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本文介绍了一种生成格雷码序列的方法。格雷码是一种二进制数系统，相邻两个数值仅在一个位上有所不同。文章提供了一个算法实现，用于生成指定位数的格雷码序列，并举例说明了当位数为2时的格雷码序列。

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:

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.

请自行百度格雷码。。。

class Solution {
public:
    vector<int> grayCode(int n) {
        int size = 1<<n;
        vector<int> grayCodes;
        grayCodes.resize(size);

        for (int i = 0; i < size; i++){
            int gCode = i ^ i>>1;
            grayCodes[i] = gCode;
        }

        return grayCodes;
    }
};