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  • gray-code (格雷码)

    题目描述

    The gray code(格雷码) 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.

    什么是格雷码?

      格雷码是一种循环二进制单位距离码,主要特点是两个相邻数的代码只有一位二进制数不同的编码,格雷码的处理主要是位操作 Bit Operation

    解题思路:

    • 二进制码->格雷码(编码):从最右边一位起,依次将每一位与左边一位异或(XOR),作为对应格雷码该位的值,最左边一位不变(相当于左边是0);
    • 格雷码->二进制码(解码):

      从左边第二位起,将每位与左边一位解码后的值异或,作为该位解码后的值。

    AC代码:

    class Solution {
    public:
        vector<int> grayCode(int n) {
            vector<int> res;
            for(int i=0;i<pow(2,n);i++){
                res.push_back((i>>1)^i);
            }
            return res;
        }
    };
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  • 原文地址:https://www.cnblogs.com/ktao/p/7819517.html
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