題目鏈接:https://leetcode.com/PRoblems/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 - 001 - 111 - 310 - 2Note: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.
解題思路:手動地列出n=3時候的情況,會發(fā)現(xiàn)。n=3的結(jié)果如下:
000001011010 ↑--------110 ↓111101100
可看成是上下對稱的2部分。上半部分是n=2時候的結(jié)果再在最高位加"0"的結(jié)果。下半部分是n=2時候的結(jié)果逆序之后再在最高位加"1"的結(jié)果。
class Solution{public: vector<int> grayCode(int n) { vector<int> res; res.push_back(0); if(n==0) return res; for(int i=1;i<=n;i++) { for(int j=res.size()-1;j>=0;j--) { res.push_back(res[j]+pow(2,i-1)); } } return res; }};
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