feat(algorithms, backtracking): find subsets#175
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📝 WalkthroughWalkthroughThis PR relocates subset-related algorithms from Changes
Estimated code review effort🎯 3 (Moderate) | ⏱️ ~25 minutes Possibly related PRs
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Actionable comments posted: 1
🤖 Fix all issues with AI agents
In `@algorithms/backtracking/subsets/find_all_subsets/__init__.py`:
- Around line 7-8: The base case for empty input is incorrect: change the n == 0
return in find_all_subsets to return [[]] (a list containing the empty subset)
instead of [] so the power set of an empty list is represented correctly; make
the analogous change in find_all_subsets_with_duplicates (where lines 28-29
currently return []) to return [[]] as well, and add a brief comment in both
functions noting this is the mathematical power set base case.
🧹 Nitpick comments (3)
algorithms/backtracking/subsets/find_all_subsets/__init__.py (3)
35-35:nums.sort()mutates the caller's input list.This is a side effect that may surprise callers. Consider using
sorted()to avoid modifying the input:Proposed fix
- nums.sort() + nums = sorted(nums)
37-37: Incorrect type annotation forsubsets.
subsetsaccumulates integers and is later copied asList[int]intoresult: List[List[int]], so the annotation is technically correct at the variable level. However, for clarity and consistency withfind_all_subsets(which names its accumulatorcurr), consider renaming tocurrorcurrent_subset.
12-12: Innerbacktrackfunction lacks type hints on parameters.The
backtrackhelper infind_all_subsetshas no type annotations forfirstandcurr, unlike thebacktrackinfind_all_subsets_with_duplicateswhich is properly annotated. Consider adding annotations for consistency.
| if n == 0: | ||
| return [] |
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Empty input returns [] instead of [[]].
Mathematically, the power set of an empty set is {∅}, i.e., [[]]. Returning [] (no subsets at all) deviates from the standard definition. The same applies to find_all_subsets_with_duplicates at lines 28-29. If this is intentional, consider adding a comment explaining the design choice.
🤖 Prompt for AI Agents
In `@algorithms/backtracking/subsets/find_all_subsets/__init__.py` around lines 7
- 8, The base case for empty input is incorrect: change the n == 0 return in
find_all_subsets to return [[]] (a list containing the empty subset) instead of
[] so the power set of an empty list is represented correctly; make the
analogous change in find_all_subsets_with_duplicates (where lines 28-29
currently return []) to return [[]] as well, and add a brief comment in both
functions noting this is the mathematical power set base case.
Describe your change:
Find all subsets
Checklist:
Fixes: #{$ISSUE_NO}.Summary by CodeRabbit
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