How do you calculate the maximum possible sum of products?
This question likely refers to pairing elements to maximize product sums. It tests greedy strategy and sorting.
Why Interviewers Ask This
Interviewers ask this to test the candidate's ability to apply a greedy approach to optimization problems. They want to see if the candidate understands that pairing largest with largest maximizes the sum of products. It checks sorting and pairing logic.
How to Answer This Question
Explain sorting both arrays in ascending order. Pair the smallest with smallest and largest with largest (or sort one ascending and one descending depending on the specific variant). Sum the products of paired elements. Justify why this greedy choice is optimal.
Key Points to Cover
- Sorting arrays
- Greedy pairing
- Product summation
- Optimality justification
Sample Answer
To maximize the sum of products of two arrays, I should sort both arrays in ascending order. Then, I pair the corresponding elements from both arrays and calculate their products. Summing these products gives the maximum…
Common Mistakes to Avoid
- Random pairing
- Incorrect sorting order
- Not justifying the greedy choice
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