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A program P reads in 500 integers in the range [0, 100] representing the scores of 500 students. It then prints the frequency of each score above 50. What would be the best way for P to store the frequencies?
  • a)
    An array of 50 numbers
  • b)
    An array of 100 numbers
  • c)
    An array of 500 numbers
  • d)
    A dynamically allocated array of 550 numbers
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
A program P reads in 500 integers in the range [0, 100] representing t...
If we use an array of 50 numbers to store frequencies, we need additional 50 subtraction operation
[because array is indexed from 0 to 50]. If we use an array of 100 elements, we are wasting storage space.
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A program P reads in 500 integers in the range [0, 100] representing t...
Answer:
To store the frequencies of each score above 50, the best option would be to use an array of 50 numbers. Let's understand why this is the most optimal choice:

Understanding the Problem:
- We have 500 students and each student has a score in the range of [0, 100].
- We need to find the frequency of each score above 50.

Why an Array of 50 Numbers?
- The range of scores is from 0 to 100, but we only need to consider scores above 50.
- Therefore, we are only interested in scores from 51 to 100.
- Since the scores above 50 are in a range of 50 numbers, an array of 50 numbers would suffice to store the frequencies.

Benefits of Using an Array of 50 Numbers:
1. Memory Efficiency:
- An array of 50 numbers is more memory-efficient than an array of 100 or 500 numbers.
- Storing unnecessary numbers would result in wastage of memory.

2. Time Complexity:
- The time complexity of accessing an element in an array is O(1).
- By using an array of 50 numbers, we can directly access the frequency of a score using its index, resulting in constant time complexity.

3. Simplicity:
- An array of 50 numbers is easier to manage and understand compared to larger arrays.
- It reduces the complexity of the code and makes it more readable.

4. Scalability:
- If the range of scores changes in the future, for example, [0, 200], we can easily modify the array size to accommodate the new range without affecting the rest of the code.

Conclusion:
Using an array of 50 numbers to store the frequencies of scores above 50 is the best choice in terms of memory efficiency, time complexity, simplicity, and scalability. It optimizes both memory usage and code readability.
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A program P reads in 500 integers in the range [0, 100] representing the scores of 500 students. It then prints the frequency of each score above 50. What would be the best way for P to store the frequencies?a)An array of 50 numbersb)An array of 100 numbersc)An array of 500 numbersd)A dynamically allocated array of 550 numbersCorrect answer is option 'A'. Can you explain this answer?
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A program P reads in 500 integers in the range [0, 100] representing the scores of 500 students. It then prints the frequency of each score above 50. What would be the best way for P to store the frequencies?a)An array of 50 numbersb)An array of 100 numbersc)An array of 500 numbersd)A dynamically allocated array of 550 numbersCorrect answer is option 'A'. Can you explain this answer? for Computer Science Engineering (CSE) 2024 is part of Computer Science Engineering (CSE) preparation. The Question and answers have been prepared according to the Computer Science Engineering (CSE) exam syllabus. Information about A program P reads in 500 integers in the range [0, 100] representing the scores of 500 students. It then prints the frequency of each score above 50. What would be the best way for P to store the frequencies?a)An array of 50 numbersb)An array of 100 numbersc)An array of 500 numbersd)A dynamically allocated array of 550 numbersCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Computer Science Engineering (CSE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A program P reads in 500 integers in the range [0, 100] representing the scores of 500 students. It then prints the frequency of each score above 50. What would be the best way for P to store the frequencies?a)An array of 50 numbersb)An array of 100 numbersc)An array of 500 numbersd)A dynamically allocated array of 550 numbersCorrect answer is option 'A'. Can you explain this answer?.
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