You need to generate all permutations of n distinct elements efficiently. Which algorithmic pattern best fits this problem?

easy🔍 Pattern Recognition Q1 of Q15

Bit Manipulation - Generate All Permutations Using Bitmask DP

You need to generate all permutations of n distinct elements efficiently. Which algorithmic pattern best fits this problem?

AGreedy algorithm that picks the smallest unused element at each step

BSliding window technique to generate permutations in linear time

CDivide and conquer by splitting the array into halves and merging permutations

DBitmask dynamic programming that tracks visited elements using bits

Step-by-Step Solution

Solution:

Step 1: Identify problem requirements
The problem requires generating all permutations, which involves tracking which elements have been used.
Step 2: Match pattern to problem
Bitmask DP efficiently encodes visited states as bits, enabling memoization and avoiding recomputation.
Final Answer:
Option D -> Option D
Quick Check:
Bitmask DP is the canonical pattern for permutations with visited state [OK]

Quick Trick: Track visited elements with bits for permutation generation [OK]

Common Mistakes:

MISTAKES

Trap Explanation:

PITFALL

Candidates often pick greedy or sliding window, which do not handle visited states properly.

Interviewer Note:

CONTEXT

Tests candidate's ability to recognize bitmask DP pattern from problem description

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