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Leetcode 338. Counting Bits. Python (Bubble Sort)


Given an integer n, return an array ans of length n + 1 such that for each i (0 <= i <= n), ans[i] is the number of 1's in the binary representation of i.

 

Example 1:

Input: n = 2
Output: [0,1,1]
Explanation:
0 --> 0
1 --> 1
2 --> 10

Example 2:

Input: n = 5
Output: [0,1,1,2,1,2]
Explanation:
0 --> 0
1 --> 1
2 --> 10
3 --> 11
4 --> 100
5 --> 101

 

Constraints:

  • 0 <= n <= 105

 

Follow up:

  • It is very easy to come up with a solution with a runtime of O(n log n). Can you do it in linear time O(n) and possibly in a single pass?
  • Can you do it without using any built-in function (i.e., like __builtin_popcount in C++)?

 

Solution :

class Solution:

    def countBits(self, n: int) -> List[int]:

        dp = [0] * (n+1)

        c = 1

        

        for i in range(1, n+1):

            if c * 2 == i :

                c = i

            dp[i] = 1 + dp[i-c]

            

        return dp


Explained :




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