Solution: Counting Bits
Explore how to use dynamic programming to count the number of 1 bits in the binary representation of numbers from 0 to n. Understand the approach of leveraging previous results for even and odd numbers to optimize time and space complexities, and implement the solution effectively in Go.
Statement
For a given positive integer, n, your task is to return an array of length such that for each where , result[x] is the count of s in the binary representation of .
Constraints:
Solution
So far, you have probably brainstormed some approaches and have an idea of how to solve this problem. Let’s explore some of these approaches and figure out which one to follow based on considerations such as time complexity and any implementation constraints.
Naive approach
The naive approach for this solution would be to iterate through the string character by character. During the traversal, we convert each number to its binary representation, count the number of
This approach would have a time complexity of