[Solved] Consider a bitmask DP approach to generate all permutations of 3... If dp[0] is initialized as [[]], what will be the content of dp[3] (where 3 in binary is 011) after processing all subsets? | Bit Manipulation

Bit Manipulation - Generate All Permutations Using Bitmask DP

Consider a bitmask DP approach to generate all permutations of 3 distinct elements. If dp[0] is initialized as [[]], what will be the content of dp[3] (where 3 in binary is 011) after processing all subsets?

A[[2,0,1],[2,1,0]]

B[[0],[1]]

C[[0,1,2],[1,0,2]]

D[[0,1],[1,0]]

Step-by-Step Solution

Solution:

Step 1: Understand the bitmask
Bitmask 3 (binary 011) represents elements 0 and 1 included.
Step 2: Generate permutations for subset {0,1}
All permutations of these two elements are [0,1] and [1,0].
Final Answer:
Option D -> Option D
Quick Check:
Check subset elements and permutations match [OK]

Quick Trick: Bitmask 3 means elements 0 and 1 included [OK]

Common Mistakes:

MISTAKES

Confusing bitmask 3 with including element 2
Assuming dp[3] contains permutations of all 3 elements
Mixing order of elements in permutations

Trap Explanation:

PITFALL

Option C and D include element 2 which is not in bitmask 3

Interviewer Note:

CONTEXT

Tests understanding of bitmask representation and subset permutations

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More Bit Manipulation Quizzes

If dp[0] is initialized as [[]], what will be the content of dp[3] (where 3 in binary is 011) after processing all subsets?

Step 1: Understand the bitmask

Step 2: Generate permutations for subset {0,1}

Final Answer:

Quick Check:

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