
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;
}
};




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