[Solved] You need to find all unique combinations of numbers from a list (which may contain duplicates) that sum up to a target, using each number at most... Which algorithmic pattern best fits this problem? | Subsets & Combinations

Subsets & Combinations - Combination Sum II (No Reuse, Duplicates)

You need to find all unique combinations of numbers from a list (which may contain duplicates) that sum up to a target, using each number at most once. Which algorithmic pattern best fits this problem?

ADynamic Programming with Tabulation

BSliding Window Technique

CBacktracking with Sorting and Duplicate Skipping

DGreedy Algorithm with Sorting

Step-by-Step Solution

Solution:

Step 1: Identify problem constraints
The problem requires unique combinations, no reuse of elements, and handling duplicates.
Step 2: Match constraints to algorithm
Backtracking with sorting and skipping duplicates is the standard approach to generate unique combinations without reuse.
Final Answer:
Option C -> Option C
Quick Check:
Backtracking handles uniqueness and sum constraints well [OK]

Quick Trick: Unique combos with no reuse -> backtracking [OK]

Common Mistakes:

MISTAKES

Thinking DP is best for unique combinations with no reuse
Using greedy which fails sum constraints

Trap Explanation:

PITFALL

Many candidates confuse DP with backtracking for combination problems, but DP often allows reuse or counts combinations differently.

Interviewer Note:

CONTEXT

Tests candidate's ability to recognize the correct pattern from problem constraints.

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Which algorithmic pattern best fits this problem?

Step 1: Identify problem constraints

Step 2: Match constraints to algorithm

Final Answer:

Quick Check:

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