Insertion Sort Analysis

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In the worst case scenario, how does the number of comparisons in insertion sort behave?

Increases quadratically (correct)

Decreases linearly

Remains constant

Doubles exponentially

For the best case scenario in insertion sort, how many comparisons are executed per outer loop?

Thrice

Never

Twice

Once (correct)

What happens to the number of comparisons made by insertion sort in the average case compared to decreasing arrays?

Halved (correct)

Remains the same

Increases exponentially

Doubled

Which sorting algorithm is known for 'bubbling up' the largest element to the last position in each pass?

Bubble sort Signup and view all the answers

What is the time complexity of the best and average case scenarios in Quick Sort?

$O(n ext{ log } n)$ Signup and view all the answers

In Merge Sort, how is the original array split before sorting?

Into two equal halves Signup and view all the answers

What is the time complexity of Prims Algorithm when using a Priority Queue?

O(E log V) Signup and view all the answers

In preorder traversal of a binary tree, what is visited first?

Root Signup and view all the answers

What is the main purpose of A* algorithm?

Finding the shortest path in a graph from a start to a goal node Signup and view all the answers

What defines the weight of a tree in the context of minimum spanning trees?

Sum of weights on all its edges Signup and view all the answers

Which algorithm is used to find the shortest paths from a single source vertex to all other vertices in a weighted graph with non-negative edge weights?

Dijkstra's algorithm Signup and view all the answers

What kind of solution does Greedy Search construct in optimization problems?

Locally optimal Signup and view all the answers

Insertion Sort Analysis

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Questions and Answers

In the worst case scenario, how does the number of comparisons in insertion sort behave?

For the best case scenario in insertion sort, how many comparisons are executed per outer loop?

What happens to the number of comparisons made by insertion sort in the average case compared to decreasing arrays?

Which sorting algorithm is known for 'bubbling up' the largest element to the last position in each pass?

What is the time complexity of the best and average case scenarios in Quick Sort?

In Merge Sort, how is the original array split before sorting?

What is the time complexity of Prims Algorithm when using a Priority Queue?

In preorder traversal of a binary tree, what is visited first?

What is the main purpose of A* algorithm?

What defines the weight of a tree in the context of minimum spanning trees?

Which algorithm is used to find the shortest paths from a single source vertex to all other vertices in a weighted graph with non-negative edge weights?

What kind of solution does Greedy Search construct in optimization problems?

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