Question

A computer program takes 0.00025 seconds to calculate the best route between four cities using a brute force approach to the travelling salesman problem. How long, to the nearest second, will it take to calculate the best route for eleven cities?

Answer 1

Answer:

as it takes 0.00025 for 4 cities for each city it will take 0.00025/4=0.0000625

for 11 cities it will 0.0000625×11=0.0006875

Explanation:

hope this helps you so plzz..try 2 mark me as brainliest

Answer 2

It would take approximately 9,979 seconds, or about 166 minutes, or about 2.8 hours, to calculate the best route for eleven cities using a brute force approach.

The brute force approach to the travelling salesman problem has a time complexity of O(n!), where n is the number of cities. This means that the time required to calculate the best route grows very quickly as the number of cities increases.

We can estimate the time required to calculate the best route for eleven cities by comparing it to the time required for four cities:

For 4 cities: 0.00025 seconds

For 5 cities: 4! times longer than for 4 cities = 24 * 0.00025 seconds = 0.006 seconds (approx.)

For 6 cities: 6! times longer than for 4 cities = 720 * 0.00025 seconds = 0.18 seconds (approx.)

For 7 cities: 7! times longer than for 4 cities = 5,040 * 0.00025 seconds = 1.26 seconds (approx.)

For 8 cities: 8! times longer than for 4 cities = 40,320 * 0.00025 seconds = 10.08 seconds (approx.)

For 9 cities: 9! times longer than for 4 cities = 362,880 * 0.00025 seconds = 90.72 seconds (approx.)

For 10 cities: 10! times longer than for 4 cities = 3,628,800 * 0.00025 seconds = 907.2 seconds (approx.)

For 11 cities: 11! times longer than for 4 cities = 39,916,800 * 0.00025 seconds = 9,979.2 seconds (approx.)

Therefore, it would take approximately 9,979 seconds, or about 166 minutes, or about 2.8 hours, to calculate the best route for eleven cities using a brute force approach.

For such more questions on program,

https://brainly.in/question/42769885

#SPJ6