LeetCode - Gray Code
2014-01-30 04:56
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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:
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.
http://oj.leetcode.com/problems/gray-code/
Solution:
See the wiki page of gray code, http://en.wikipedia.org/wiki/Gray_code
We can find that nth gray code is n XOR (n/2).
https://github.com/starcroce/leetcode/blob/master/gray_code.cpp
// 32 ms for 12 test cases
// binary to gray: G(n) = (B(n)/2) XOR B(n)
class Solution {
public:
vector<int> grayCode(int n) {
vector<int> res;
int size = 1 << n;
for(int i = 0; i < size; i++) {
res.push_back((i/2)^i);
}
return res;
}
};
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.
http://oj.leetcode.com/problems/gray-code/
Solution:
See the wiki page of gray code, http://en.wikipedia.org/wiki/Gray_code
We can find that nth gray code is n XOR (n/2).
https://github.com/starcroce/leetcode/blob/master/gray_code.cpp
// 32 ms for 12 test cases
// binary to gray: G(n) = (B(n)/2) XOR B(n)
class Solution {
public:
vector<int> grayCode(int n) {
vector<int> res;
int size = 1 << n;
for(int i = 0; i < size; i++) {
res.push_back((i/2)^i);
}
return res;
}
};
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