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  • Leo Smith
    Leo Smith
    ٣ فبراير، ٢٠٢٤ ·

    Hey fellow coders! Can someone help me on this?
    Write a function using Dynamic Programming to solve the Traveling Salesman Problem. Input a list of cities with coordinates and get the optimal route plus the minimum distance.

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    • Leo Smith
      thomas brown Hey fellow coders! Can someone help me on this?
      Write a function using Dynamic Programming to solve the Traveling Salesman Problem. Input a list of cities with coordinates and get the optimal route plus the minimum distance.

      import itertools
      import sys
      أكثر من      Hey fellow coders! Can someone help me on this?
      Write a function using Dynamic Programming to solve the Traveling Salesman Problem. Input a list of cities with coordinates and get the optimal route plus the minimum distance.

      import itertools
      import sys

      def distance(city1, city2):
      """
      Calculate the Euclidean distance between two cities.
      """
      x1, y1 = city1
      x2, y2 = city2
      return ((x1 - x2) ** 2 + (y1 - y2) ** 2) ** 0.5

      def tsp_dynamic_programming(cities):
      """
      Solve the Traveling Salesman Problem using Dynamic Programming.
      """
      n = len(cities)
      all_cities = set(range)

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

      # Base case: starting from city 0, with no other cities visited
      memo[(frozenset([0]), 0)] = 0

      # Iterate over all subsets of cities and compute the optimal route
      for r in range(1, n):
      for subset in itertools.combinations(all_cities - {0}, r):
      subset = frozenset(subset)
      for k in...  أقل
      • ٤ فبراير، ٢٠٢٤
      • · ١ مثل هذا
    • Leo Smith
      thomas brown 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...أكثر من      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 =...  أقل
      • ٥ فبراير، ٢٠٢٤
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