[LeetCode 题解]:Gray Code
题目描述:
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.
考察位操作:
从题目中例子可以发现这么一个规律:
假设结果数组为B,原始数组为A,则有: B[i] = A[i] ^ (A[i]>>). 例如 : A[] =
B[] = ^(>>)
= ^
= =
解法如下:
class Solution {
public:
vector<int> grayCode(int n) {
int len = pow(2.0,n),i,a;
vector<int> vi;
for(i=;i<len;i++)
{
a= i^(i>>);
vi.push_back(a);
}
return vi;
}
};
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