The first problem is related to the variable n and its value. Explain what goes wrong. Provide a better implementation of the function, avoiding the use of n. Use the same function name, i.e., count_crossings_and_nestings.

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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For diagrams with three arcs, there are 15 possibilities. considering the following set of arcs:

arcs = [(0, 1), (0, 2), (1, 2)]

This set of arcs should result in 1 crossing and 2 nestings. However, let's check the function's output:

crossings, nestings = count_crossings_and_nestings(arcs)
print(f"Number of crossings: {crossings}")
print(f"Number of nestings: {nestings}")

This outputs:

Number of crossings: 0
Number of nestings: 0

My questions I need help from you:

  1. The first problem is related to the variable n and its value. Explain what goes wrong.
  2. Provide a better implementation of the function, avoiding the use of n. Use the same function name, i.e., count_crossings_and_nestings.
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