Start from any city and go to the next city with the shortest distance, from there go to the next city with the shortest distance, repeat; until a loop is formed intersecting all cities—this is the base loop. ​Now, starting again from the initial city, go to the next city using the second shortest distance [if, before traversing a distance, you realize it will make the path longer than the base loop, then go to the next city using the next shortest distance; if you run out of paths, go back to the previous city and repeat; and if it is shorter, treat it as the new base loop and proceed], from there go to the next city using the second shortest distance, repeat; until another loop is formed intersecting all cities. ​Repeat this process until you find the shortest base loop, and then output that as the result.…