Monk and Inversions Monk's best friend Micro, who happen to be an awesome programmer, got him an integer matrix M of size N x N for his birthday. Monk is taking coding classes from Micro. They have jus completed array inversions and Monk was successful in writing a program to count the number of inversions in an array. Now, Mic has asked Monk to find out the number of inversion in the matri: M. Number of inversions, in a matrix is defined as the number of unordered pairs of cells {(i, j), (p, q)} such that M(i][j] > M\p][q] & i

C++ Programming: From Problem Analysis to Program Design
8th Edition
ISBN:9781337102087
Author:D. S. Malik
Publisher:D. S. Malik
Chapter8: Arrays And Strings
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Monk and Inversions
Monk's best friend Micro, who happen to be an awesome
programmer, got him an integer matrix M of size N x N for his
birthday. Monk is taking coding classes from Micro. They have just
completed array inversions and Monk was successful in writing a
program to count the number of inversions in an array. Now, Micro
has asked Monk to find out the number of inversion in the matrix
M. Number of inversions, in a matrix is defined as the number of
unordered pairs of cells {(i, j), (p, q)} such that
M(i][j] > M\p][q] & i <p & j<q•
Monk is facing a little trouble with this task and since you did not
got him any birthday gift, you need to help him with this task.
Transcribed Image Text:Monk and Inversions Monk's best friend Micro, who happen to be an awesome programmer, got him an integer matrix M of size N x N for his birthday. Monk is taking coding classes from Micro. They have just completed array inversions and Monk was successful in writing a program to count the number of inversions in an array. Now, Micro has asked Monk to find out the number of inversion in the matrix M. Number of inversions, in a matrix is defined as the number of unordered pairs of cells {(i, j), (p, q)} such that M(i][j] > M\p][q] & i <p & j<q• Monk is facing a little trouble with this task and since you did not got him any birthday gift, you need to help him with this task.
Input:
First line consists of a single integer T denoting the number of test
cases.
First line of each test case consists of one integer denoting N.
Following N lines consists of N space separated integers denoting
the matrix M.
Output:
Print the answer to each test case in a new line.
Constraints:
1<T< 100
1< N < 20
1< M[i][j] < 1000
Transcribed Image Text:Input: First line consists of a single integer T denoting the number of test cases. First line of each test case consists of one integer denoting N. Following N lines consists of N space separated integers denoting the matrix M. Output: Print the answer to each test case in a new line. Constraints: 1<T< 100 1< N < 20 1< M[i][j] < 1000
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