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In a permutation a1.....an of n distinct integers, an inversion is a pair (ai, aj) such that i < j and ai > aj. What would be the worst case time complexity of the Insertion Sort algorithm, if the inputs are restricted to permutations of 1.....n with at most n inversions?
- a)Θ (n2)
- b)Θ (n log n)
- c)Θ (n1.5)
- d)Θ (n)
Correct answer is option 'D'. Can you explain this answer?
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In a permutation a1.....an of n distinct integers, an inversion is a p...
Insertion sort runs in Θ(n + f(n)) time, where f(n) denotes the number of inversion initially present in the array being sorted.
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In a permutation a1.....an of n distinct integers, an inversion is a p...
In a permutation a1.....an of n distinct integers, an inversion is a pair (ai, aj) such that i < j="" and="" ai="" /> aj. In other words, an inversion occurs when an integer in the permutation is to the right of another integer that is smaller than it.
For example, consider the permutation 4, 1, 3, 2. The inversions in this permutation are (4, 1), (4, 3), (4, 2), (3, 2), and (1, 2).
The number of inversions in a permutation is a measure of how "out of order" the permutation is. A permutation with no inversions is called a sorted permutation, while a permutation with the maximum number of inversions (n(n-1)/2) is called a reversed permutation.
For example, consider the permutation 4, 1, 3, 2. The inversions in this permutation are (4, 1), (4, 3), (4, 2), (3, 2), and (1, 2).
The number of inversions in a permutation is a measure of how "out of order" the permutation is. A permutation with no inversions is called a sorted permutation, while a permutation with the maximum number of inversions (n(n-1)/2) is called a reversed permutation.
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In a permutation a1.....an of n distinct integers, an inversion is a pair (ai, aj) such that i < j and ai > aj. What would be the worst case time complexity of the Insertion Sort algorithm, if the inputs are restricted to permutations of 1.....n with at most n inversions?a)Θ (n2)b)Θ (n log n)c)Θ (n1.5)d)Θ (n)Correct answer is option 'D'. Can you explain this answer?
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In a permutation a1.....an of n distinct integers, an inversion is a pair (ai, aj) such that i < j and ai > aj. What would be the worst case time complexity of the Insertion Sort algorithm, if the inputs are restricted to permutations of 1.....n with at most n inversions?a)Θ (n2)b)Θ (n log n)c)Θ (n1.5)d)Θ (n)Correct answer is option 'D'. 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 In a permutation a1.....an of n distinct integers, an inversion is a pair (ai, aj) such that i < j and ai > aj. What would be the worst case time complexity of the Insertion Sort algorithm, if the inputs are restricted to permutations of 1.....n with at most n inversions?a)Θ (n2)b)Θ (n log n)c)Θ (n1.5)d)Θ (n)Correct answer is option 'D'. 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 In a permutation a1.....an of n distinct integers, an inversion is a pair (ai, aj) such that i < j and ai > aj. What would be the worst case time complexity of the Insertion Sort algorithm, if the inputs are restricted to permutations of 1.....n with at most n inversions?a)Θ (n2)b)Θ (n log n)c)Θ (n1.5)d)Θ (n)Correct answer is option 'D'. Can you explain this answer?.
In a permutation a1.....an of n distinct integers, an inversion is a pair (ai, aj) such that i < j and ai > aj. What would be the worst case time complexity of the Insertion Sort algorithm, if the inputs are restricted to permutations of 1.....n with at most n inversions?a)Θ (n2)b)Θ (n log n)c)Θ (n1.5)d)Θ (n)Correct answer is option 'D'. 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 In a permutation a1.....an of n distinct integers, an inversion is a pair (ai, aj) such that i < j and ai > aj. What would be the worst case time complexity of the Insertion Sort algorithm, if the inputs are restricted to permutations of 1.....n with at most n inversions?a)Θ (n2)b)Θ (n log n)c)Θ (n1.5)d)Θ (n)Correct answer is option 'D'. 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 In a permutation a1.....an of n distinct integers, an inversion is a pair (ai, aj) such that i < j and ai > aj. What would be the worst case time complexity of the Insertion Sort algorithm, if the inputs are restricted to permutations of 1.....n with at most n inversions?a)Θ (n2)b)Θ (n log n)c)Θ (n1.5)d)Θ (n)Correct answer is option 'D'. Can you explain this answer?.
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