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Recent questions tagged inversion

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NPTEL Assignment Question
In an array A[1..n] of n distinct elements, if i < j and A[i] > A[j], then the pair (i,j) is called an inversion of A.How many inversions are there in the array A = {n,n-1,n-2,...,3,2,1}? n(n-1) / 2n(n+1) / 22n(n+1)None
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Cormen Edition 3 Exercise 2.4 Question 4 (Page No. 42)
Give an algorithm that determines the number of inversions in any permutation on $n$ elements in $\Theta (n\ lg\ n)$ worst-case time. (Hint: Modify merge sort.)
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Cormen Edition 3 Exercise 2.4 Question 3 (Page No. 42)
What is the relationship between the running time of insertion sort and the number of inversions in the input array? Justify your answer.
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Cormen Edition 3 Exercise 2.4 Question 2 (Page No. 42)
What array with elements from the set $\{1,2,\dots n\}$ has the most inversions? How many does it have?
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Cormen Edition 3 Exercise 2.4 Question 1 (Page No. 41)
List the five inversions of the array $\langle 2,3,8,6,1\rangle$
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What do we mean by INVERSION
I searched on internet but got noting .
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Inversions
Is it always the case that in an unsorted array using comparison based sorting algorithm the minimum number of comparison required to convert it into sorted array is ... of Inversions present in the Array. Am i saying the statement right ?
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Number of Inversions
How to get number of Inversion count using merge sort?
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Number of Inversions
A) 192 B) 120 c) 188 D) 176
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GATE CSE 2003 | Question: 61
In a permutation \(a_1 ... a_n\), of n distinct integers, an inversion is a pair \((a_i, a_j)\) such that \(i < j\) and \(a_i > a_j\).If all permutations are equally likely, what ... \)\(\frac{n(n-1)}{4}\)\(\frac{n(n+1)}{4}\)\(2n[\log_2n]\)
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