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600. Non-negative Integers without Consecutive Ones

Given a positive integer n, find the number of non-negative integers less than or equal to n, whose binary representations do NOT contain consecutive ones.

Example 1:

Input: 5
Output: 5
Explanation:
Here are the non-negative integers <= 5 with their corresponding binary representations:
0 : 0
1 : 1
2 : 10
3 : 11
4 : 100
5 : 101
Among them, only integer 3 disobeys the rule (two consecutive ones) and the other 5 satisfy the rule.

Note: 1 <= n <= 109

Difficulty:

Hard

Lock:

Normal

Company:

Pocket Gems

Problem Solution

600-Non-negative-Integers-without-Consecutive-Ones

All Problems:

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All contents and pictures on this website come from the Internet and are updated regularly every week. They are for personal study and research only, and should not be used for commercial purposes. Thank you for your cooperation.