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leetcode之Gray Code

2014-08-27 14:20 309 查看


Gray Code



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.

思路:每次获取当前向量的长度,而该长度正好是当前格雷码的最高位,然后用该最高位去和向量中的数据进行异或,注意要从后向前,即到到下一组格雷吗






class Solution {
public:
    vector<int> grayCode(int n) {
    	vector<int> res(1,0);
    	int i;
    	while(n--)
    	{
    		int highbit = res.size();//当前二进制的最高为1的位
    		for(i = res.size()-1;i >= 0;--i)res.push_back(highbit|res[i]);
    	}
    	return res;
    }
};


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