Given the following intermediate state of masks after processing words: [(524288, 6), (1024, 5), (32, 3), (16, 3)] and the maximum product found is 30, which pair of word lengths likely produced this maximum product?

hard🔄 Reverse Engineer Q9 of Q15

Bit Manipulation - Maximum Product of Word Lengths

A6 and 5 (masks 524288 and 1024) with no overlapping bits

B3 and 3

C6 and 5

D5 and 3

Step-by-Step Solution

Solution:

Step 1: Identify pairs with no overlapping bits
Check bitwise AND of 524288 and 1024: 524288 & 1024 = 0, so no overlap.
Step 2: Calculate product
6 * 5 = 30 matches maximum product given.
Final Answer:
Option A -> Option A
Quick Check:
Only pair with no overlap and product 30 is (6,5) masks 524288 and 1024 [OK]

Quick Trick: Bitwise AND zero means no overlap, product matches max [OK]

Common Mistakes:

MISTAKES

Ignoring bitmask overlap
Picking pairs with overlapping bits

Trap Explanation:

PITFALL

Candidates often pick pairs by length only, ignoring bitmask overlap requirement.

Interviewer Note:

CONTEXT

Tests ability to reverse engineer input from intermediate bitmask states

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More Bit Manipulation Quizzes

Given the following intermediate state of masks after processing words: [(524288, 6), (1024, 5), (32, 3), (16, 3)] and the maximum product found is 30, which pair of word lengths likely produced this maximum product?

Step 1: Identify pairs with no overlapping bits

Step 2: Calculate product

Final Answer:

Quick Check:

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