The numpy module contains functions to generate random permutations. Given a non-negative integer n, every permutation of 2n numbers can be turned into a matching by taking the first half of the permutation entries (i.e., the first n numbers) and connecting each of them to the corresponding entry in the second half (i.e., the last n numbers). Use this method to write a function random_matching that takes n and returns a randomly selected matching of 2n numbers in the form of a list of n tuples, where each tuple contains two integers. Note: Ensure that the tuples are returned such that the first integer is less than the second integer. To demonstrate that your code works, draw the arc diagrams for five randomly chosen matchings of 20 numbers.

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
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The numpy module contains functions to generate random permutations. Given a non-negative integer n, every permutation of 2n numbers can be
turned into a matching by taking the first half of the permutation entries (i.e., the first n numbers) and connecting each of them to the corresponding entry in the second
half (i.e., the last n numbers). Use this method to write a function random_matching that takes n and returns a randomly selected matching of 2n numbers in the
form of a list of n tuples, where each tuple contains two integers.
Note: Ensure that the tuples are returned such that the first integer is less than the second integer.
To demonstrate that your code works, draw the arc diagrams for five randomly chosen matchings of 20 numbers.
Transcribed Image Text:The numpy module contains functions to generate random permutations. Given a non-negative integer n, every permutation of 2n numbers can be turned into a matching by taking the first half of the permutation entries (i.e., the first n numbers) and connecting each of them to the corresponding entry in the second half (i.e., the last n numbers). Use this method to write a function random_matching that takes n and returns a randomly selected matching of 2n numbers in the form of a list of n tuples, where each tuple contains two integers. Note: Ensure that the tuples are returned such that the first integer is less than the second integer. To demonstrate that your code works, draw the arc diagrams for five randomly chosen matchings of 20 numbers.
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