leetcode-89-gray code

Problem Description:

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.

题目大意:

灰码是指邻近的数字只有一位相差,输入一个数字,求出该数字位数相符的灰码序列。

Solutions:

首先,对于什么是灰码,请参见维基百科。我觉得和这道题比较相似。

Code in C++:

class Solution {
    public:
        vector<int> grayCode(int n) {
            vector<int> res;
            res.push_back(0);
            for(int i=0;i<n;i++)
                {
                    int high=1<<i;
                    int size=res.size();
                    for(int j=size-1;j>=0;j--)
                        res.push_back(high+res[j]);
                }
            return res;

        }
};