P15387 [GeeksforGeeks] Numbers with alternative 1s4819
普及
题目描述

Given a number n, the task is to find all 1 to n bit numbers with no consecutive 1's in their binary representation.

Example 1:
Input: n = 3
Output: 1 2 4 5
Explanation: All numbers upto 2 bit are:
1 - 1
2 - 10
3 - 11
4 - 100
5 - 101
6 - 110
7 - 111
Here 3, 6 and 7 have consecutive 1's in their
binary representation.
Example 2:
Input: n = 2
Output: 1 2
Explanation: All numbers upto 2 bit are:
1 - 1
2 - 10
3 - 11
Here 3 has consecutive 1's in it's
binary representation.

Your Task:
You don't need to read or print anything.Your task is to complete the function numberWithNoConsecutiveOnes() which takes n as input parameter and returns a list of numbers in increasing order which do not contains 1's in their binary reperesentation.

Expected Time Complexity: O(2^{n})
Expected Space Complexity: O(n)

Constraints:
1 <= n <= 20

输入格式

见题面

输出格式

见题面

样例输入
n = 3
样例输出
1 2 4 5