Roadmap › Stage 7: Heaps & Backtracking › Pattern 33 of 53
DSA pattern guide

Backtracking — Choice Based

All subsets, combinations, permutations, partitions.

Stage 7 · Heaps & Backtracking9 problems9 Medium

Use it when

All subsets, combinations, permutations, partitions.

Key idea

Choose, recurse, un-choose. Sort first and skip equal neighbours to avoid duplicates.

Practice problems, in order

  1. SubsetsMedium
  2. Subsets IIMedium
  3. Combination SumMedium
  4. Combination Sum IIMedium
  5. PermutationsMedium
  6. Permutations IIMedium
  7. Generate ParenthesesMedium
  8. Palindrome PartitioningMedium
  9. Restore IP AddressesMedium

How to practise this pattern

  1. Read the problem and look for the signal above before writing any code.
  2. Say the brute force out loud, with its time complexity, then ask what work it repeats.
  3. Apply the key idea and write the optimised version yourself.
  4. If you're stuck for more than 10 minutes, take one small hint, not the full solution.
  5. Move to the next problem only when you can explain why this pattern fits.

Stuck on one of these?

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