Sorting Algorithms - AP Computer Science A
Card 1 of 30
Identify the sorting algorithm used in Python's sorted() function.
Identify the sorting algorithm used in Python's sorted() function.
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Timsort. Adaptive hybrid algorithm optimized for real-world data.
Timsort. Adaptive hybrid algorithm optimized for real-world data.
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State the space complexity of Merge Sort.
State the space complexity of Merge Sort.
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$O(n)$. Requires additional arrays for the merge operation.
$O(n)$. Requires additional arrays for the merge operation.
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Identify the sorting algorithm that is not comparison-based.
Identify the sorting algorithm that is not comparison-based.
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Radix Sort. Sorts by digit position rather than comparing elements directly.
Radix Sort. Sorts by digit position rather than comparing elements directly.
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Which algorithm is more efficient for small datasets: Insertion Sort or Merge Sort?
Which algorithm is more efficient for small datasets: Insertion Sort or Merge Sort?
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Insertion Sort. Insertion Sort has lower overhead for small arrays.
Insertion Sort. Insertion Sort has lower overhead for small arrays.
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Describe the primary operation of Bubble Sort.
Describe the primary operation of Bubble Sort.
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Repeatedly swapping adjacent elements. Moves larger elements toward the end through adjacent swaps.
Repeatedly swapping adjacent elements. Moves larger elements toward the end through adjacent swaps.
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Find the time complexity of Radix Sort.
Find the time complexity of Radix Sort.
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$O(nk)$. Time depends on number of digits $k$ in the largest number.
$O(nk)$. Time depends on number of digits $k$ in the largest number.
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What is the space complexity of Quick Sort with in-place partitioning?
What is the space complexity of Quick Sort with in-place partitioning?
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$O(\text{log } n)$. Recursion depth depends on partition quality.
$O(\text{log } n)$. Recursion depth depends on partition quality.
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What is the primary disadvantage of using Bubble Sort?
What is the primary disadvantage of using Bubble Sort?
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Inefficiency for large datasets. Quadratic time complexity makes it impractical for large inputs.
Inefficiency for large datasets. Quadratic time complexity makes it impractical for large inputs.
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State the stable sorting algorithm suitable for linked lists.
State the stable sorting algorithm suitable for linked lists.
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Merge Sort. Stability and sequential access make it ideal for linked structures.
Merge Sort. Stability and sequential access make it ideal for linked structures.
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Which sorting algorithm can be easily adapted for singly linked lists?
Which sorting algorithm can be easily adapted for singly linked lists?
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Merge Sort. No random access needed, only sequential pointer operations.
Merge Sort. No random access needed, only sequential pointer operations.
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What is the primary feature of Timsort?
What is the primary feature of Timsort?
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Hybrid stable sorting algorithm. Combines merge sort stability with insertion sort efficiency.
Hybrid stable sorting algorithm. Combines merge sort stability with insertion sort efficiency.
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What is the main disadvantage of using Selection Sort?
What is the main disadvantage of using Selection Sort?
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Inefficient $O(n^2)$ time complexity. Always performs same number of operations regardless of input.
Inefficient $O(n^2)$ time complexity. Always performs same number of operations regardless of input.
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What is the space complexity of Counting Sort?
What is the space complexity of Counting Sort?
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$O(k)$, where $k$ is the range of input. Space grows with the range of input values.
$O(k)$, where $k$ is the range of input. Space grows with the range of input values.
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Which sorting algorithm is often used for educational purposes?
Which sorting algorithm is often used for educational purposes?
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Bubble Sort. Simple logic makes it ideal for teaching sorting concepts.
Bubble Sort. Simple logic makes it ideal for teaching sorting concepts.
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Find the sorting algorithm with $O(n)$ time complexity for a specific case.
Find the sorting algorithm with $O(n)$ time complexity for a specific case.
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Counting Sort. Works when input values have a small, known range.
Counting Sort. Works when input values have a small, known range.
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What is the key operation in Selection Sort?
What is the key operation in Selection Sort?
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Selecting the minimum element. Finds the smallest unsorted element and places it correctly.
Selecting the minimum element. Finds the smallest unsorted element and places it correctly.
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Which sorting algorithm performs well with nearly sorted data?
Which sorting algorithm performs well with nearly sorted data?
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Insertion Sort. Adapts well to existing order, requiring fewer operations.
Insertion Sort. Adapts well to existing order, requiring fewer operations.
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Find the best-case time complexity of Bubble Sort.
Find the best-case time complexity of Bubble Sort.
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$O(n)$. Occurs when array is already sorted, no swaps needed.
$O(n)$. Occurs when array is already sorted, no swaps needed.
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What is the primary benefit of using Heap Sort?
What is the primary benefit of using Heap Sort?
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Consistent $O(n \text{ log } n)$ time complexity. Guarantees optimal performance regardless of input distribution.
Consistent $O(n \text{ log } n)$ time complexity. Guarantees optimal performance regardless of input distribution.
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Which sorting algorithm is typically used in Java's Arrays.sort() for objects?
Which sorting algorithm is typically used in Java's Arrays.sort() for objects?
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Timsort. Hybrid algorithm combining merge sort and insertion sort.
Timsort. Hybrid algorithm combining merge sort and insertion sort.
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What is the time complexity of Bubble Sort in the average case?
What is the time complexity of Bubble Sort in the average case?
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$O(n^2)$. Compares each adjacent pair multiple times through nested loops.
$O(n^2)$. Compares each adjacent pair multiple times through nested loops.
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What is the main advantage of Quick Sort over Merge Sort?
What is the main advantage of Quick Sort over Merge Sort?
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In-place sorting. Quick Sort uses constant space, while Merge Sort needs $O(n)$ space.
In-place sorting. Quick Sort uses constant space, while Merge Sort needs $O(n)$ space.
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Which sorting algorithm is stable: Quick Sort or Merge Sort?
Which sorting algorithm is stable: Quick Sort or Merge Sort?
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Merge Sort. Merge Sort preserves relative order of equal elements.
Merge Sort. Merge Sort preserves relative order of equal elements.
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What is the worst-case time complexity of Quick Sort?
What is the worst-case time complexity of Quick Sort?
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$O(n^2)$. Occurs when pivot is always the smallest or largest element.
$O(n^2)$. Occurs when pivot is always the smallest or largest element.
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State the best-case time complexity of Insertion Sort.
State the best-case time complexity of Insertion Sort.
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$O(n)$. Array is already sorted, requiring minimal shifts.
$O(n)$. Array is already sorted, requiring minimal shifts.
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What time complexity does Selection Sort have in all cases?
What time complexity does Selection Sort have in all cases?
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$O(n^2)$. Always performs the same number of comparisons regardless of input.
$O(n^2)$. Always performs the same number of comparisons regardless of input.
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What is the space complexity of Counting Sort?
What is the space complexity of Counting Sort?
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$O(k)$, where $k$ is the range of input. Space grows with the range of input values.
$O(k)$, where $k$ is the range of input. Space grows with the range of input values.
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Which sorting algorithm is often used for educational purposes?
Which sorting algorithm is often used for educational purposes?
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Bubble Sort. Simple logic makes it ideal for teaching sorting concepts.
Bubble Sort. Simple logic makes it ideal for teaching sorting concepts.
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Find the sorting algorithm with $O(n)$ time complexity for a specific case.
Find the sorting algorithm with $O(n)$ time complexity for a specific case.
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Counting Sort. Works when input values have a small, known range.
Counting Sort. Works when input values have a small, known range.
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What role does partitioning play in Quick Sort?
What role does partitioning play in Quick Sort?
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Divides array into two parts for sorting. Separates elements smaller and larger than the pivot.
Divides array into two parts for sorting. Separates elements smaller and larger than the pivot.
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