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[leetcode] Gray Code

时间:2015-09-05 22:18:19      阅读:194      评论:0      收藏:0      [点我收藏+]

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描述:

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

分析

格雷编码,首位不变,后面的数据,依次与前一位做异或。

自然二进制码转换为格雷码:g0 = b0, gi = bi bi?1

Code:

vector<int> grayCode(int n)
    {
        vector<int> result;
        const size_t size = 1 << n; // 2^n
        result.reserve(size);
        for (size_t i = 0; i < size; ++i)
            result.push_back(i ^ (i >> 1));
        return result;
    }

[leetcode] Gray Code

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原文地址:http://www.cnblogs.com/panweishadow/p/4783965.html

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