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Hello fellow coding enthusiasts!
Lets solve this classic problem involves finding the most efficient route that visits each city exactly once and returns to the original city while minimizing the total distance traveled.

Here's a Python function to

Hello fellow coding enthusiasts!
Lets solve this classic problem involves finding the most efficient route that visits each city exactly once and returns to the original city while minimizing the total distance traveled.

Here's a Python function to tackle the Traveling Salesman Problem:
import itertools

def calculate_distance(city1, city2):
# Assuming city1 and city2 are tuples containing (x, y) coordinates
return ((city1[0] - city2[0]) ** 2 + (city1[1] - city2[1]) ** 2) ** 0.5

def tsp_dynamic_programming(cities):
n = len(cities)
all_cities = set(range)

# Create a memoization table to store optimal distances
memo = {}

def tsp_helper(curr_city, remaining_cities):
if not remaining_cities:
return 0, [curr_city]

if (curr_city, remaining_cities) in memo:
return memo[(curr_city, remaining_cities)]

min_distance = float('inf')
min_path = None

for next_city in remaining_cities:
distance_to_next = calculate_distance(cities[curr_city], cities[next_city])
new_remaining_cities = remaining_cities - {next_city}

subproblem_distance, subproblem_path = tsp_helper(next_city, new_remaining_cities)
total_distance = distance_to_next + subproblem_distance

if total_distance < min_distance:
min_distance = total_distance
min_path = [curr_city] + subproblem_path

memo[(curr_city, remaining_cities)] = (min_distance, min_path)
return min_distance, min_path

# Start the dynamic programming recursion
min_distance, optimal_path = tsp_helper(0, all_cities)
return min_distance, [cities for i in optimal_path]

This function takes a list of cities with coordinates and returns the minimum distance along with the optimal route.

Feel free to integrate this function into your code and adapt it to suit your needs. If you have any questions or need further clarification, don't hesitate to ask. Join our "Online Artificial Intelligence Assignment Help" service for more.

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