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Backtracking problems - my approach that works every time

Sachin AhujaSachin Ahuja
9/8/2025
182

After struggling with backtracking for weeks, I developed this mental framework:

  1. What are my choices at each step?
  2. What constraints must I satisfy? (when to prune)
  3. What does the base case look like? (when am I done)

Then the template is always:

def backtrack(current_state, choices_left):
    if is_solution(current_state):
        save_result()
        return
    for choice in choices_left:
        if is_valid(choice):
            make_choice()
            backtrack(new_state, remaining_choices)
            undo_choice()

This worked for: N-Queens, Sudoku, Permutations, Subsets, Combination Sum, Word Search, and Palindrome Partitioning.

Hope this helps someone!


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Comments (4)

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Tanvi Ahuja
Tanvi Ahuja11 months ago

I used a similar approach for the Word Search problem. The challenge was handling the board state efficiently. Any advice on optimizing board traversal?

Mark Tanaka
Mark Tanaka10/4/2025

I think this is a great starting point, but sometimes the pruning can be more complex than it seems. How do you ensure you’re not pruning valid possibilities?

Ryan Anderson
Ryan Anderson9/28/2025

This is super helpful! I've always struggled with remembering all the steps for backtracking. Do you have any tips on how to efficiently determine when a choice is valid?

Saumya Yadav
Saumya Yadav9/27/2025

This framework looks solid but sometimes I find it difficult to undo the choice correctly. Any pointers on how to handle complex states?