def count_crossings_and_nestings(arcs): Count the number of crossings and nestings between a set of arcs. Parameters: arcs (list): A list of tuples representing arcs. Each tuple contains two integers representing the start and end points of an arc. Returns: tuple: A tuple containing the number of crossings and nestings. || || || crossings = 0 nestings = 0 num_arcs = len(arcs) # Get the number of arcs using the len() function for i in range(num_arcs): for j in range(i+1, num_arcs): arci_start, arci_end = arcs [i] arcj_start, arcj_end: = arcs [j] # Check for crossings if arci_start < arcj_start < arci_end < arcj_end: crossings += 1 elif arcj_start < arci_start < arcj_end < arci_end: crossings += 1 # Check for nestings elif arci_start < arcj_start < arcj_end < arci_end: nestings += 1 elif arcj_start < arci_start < arci_end < arcj_end: nestings += 1 return crossings, nestings # Test the function arcs = [(1, 4), (0, 6), (3, 5), (2, 9), (7, 8)] crossings, nestings = count_crossings_and_nestings (arcs) print (f"Number of crossings: {crossings}") # Expected: 1 print (f"Number of nestings: {nestings}") Number of crossings: 3 Number of nestings: 4 # Expected: 3

def count_crossings_and_nestings(arcs): Count the number of crossings and nestings between a set of arcs. Parameters: arcs (list): A list of tuples representing arcs. Each tuple contains two integers representing the start and end points of an arc. Returns: tuple: A tuple containing the number of crossings and nestings. || || || crossings = 0 nestings = 0 num_arcs = len(arcs) # Get the number of arcs using the len() function for i in range(num_arcs): for j in range(i+1, num_arcs): arci_start, arci_end = arcs [i] arcj_start, arcj_end: = arcs [j] # Check for crossings if arci_start < arcj_start < arci_end < arcj_end: crossings += 1 elif arcj_start < arci_start < arcj_end < arci_end: crossings += 1 # Check for nestings elif arci_start < arcj_start < arcj_end < arci_end: nestings += 1 elif arcj_start < arci_start < arci_end < arcj_end: nestings += 1 return crossings, nestings # Test the function arcs = [(1, 4), (0, 6), (3, 5), (2, 9), (7, 8)] crossings, nestings = count_crossings_and_nestings (arcs) print (f"Number of crossings: {crossings}") # Expected: 1 print (f"Number of nestings: {nestings}") Number of crossings: 3 Number of nestings: 4 # Expected: 3

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

Section: Chapter Questions

Problem 1PE

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