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Grokking the Coding Interview Patterns

Problem: Counting Bits

easy
15 min
Explore counting the number of set bits in binary numbers using dynamic programming. Understand the problem constraints, apply logical problem-solving steps, and implement efficient solutions in Python. This lesson helps build a strong foundation in dynamic programming for coding interviews.

Statement

For a given positive integer, n, your task is to return an array of length n+1n+1 such that for each xx where 0≤x≤n0 \leq x \leq n, result[x] is the count of 11s in the binary representation of xx.

Constraints:

  • 0≤n≤1040 \leq n \leq 10^4
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0/1 Knapsack
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N-th Tribonacci Number
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Tap here to switch tabs
Problem
Submissions
Home
Courses
Grokking the Coding Interview Patterns

Problem: Counting Bits

easy
15 min
Explore counting the number of set bits in binary numbers using dynamic programming. Understand the problem constraints, apply logical problem-solving steps, and implement efficient solutions in Python. This lesson helps build a strong foundation in dynamic programming for coding interviews.

Statement

For a given positive integer, n, your task is to return an array of length n+1n+1 such that for each xx where 0≤x≤n0 \leq x \leq n, result[x] is the count of 11s in the binary representation of xx.

Constraints:

  • 0≤n≤1040 \leq n \leq 10^4
Similar Problems
Edit Distance
0/1 Knapsack
Coin Change
N-th Tribonacci Number
Partition Equal Subset Sum
01 Matrix
House Robber II
Maximum Product Subarray
Combination Sum
Word Break
Unlock AI-Powered LearningUpgrade to smarter learning with instant explanations of Ask Agent, Personalized Interview Prep, Real-World Projects, 3 AI Mock Interviews per month, and Personalized Paths