About TSP and greedy algo... help needed from France!

Hi dear members :slight_smile:
First of all please apologize my poor english , i’m french …

I’m working on greedies algorithms and, as you guess i need help !
My program is suppose to solve the famous Travelsalesman problem.
I managed to collect some fonctions but i’m having hard time with printing the right answer.
My program is supposed to return all the differents pathes in order to obtain 810 km.
Unfortunately its returns 503 km ;-(
I think my fonctions are okay but this idea of an issue in the buckles still persist.
May I ask you to have a look on my code please ?
Thank you very much for your help and your understanding …
Have a great day,
Williamme

***************My code **********************

town = [1,2,3,4,5]

dist = [[0  , 55  , 303 , 188 , 183],
        [55 , 0   , 306 , 176 , 203],
        [303, 306 , 0   , 142 , 155],
        [188, 176 , 142 , 0   , 123],
        [183, 203 , 153 , 123 , 0    ]]

n=len(town)

def greedy_circuit(town, dist, departure):

    visited=[False]*n
    total_distance=0
    actual=departure

    for i in range (n-1):
        visited[actual] = True
        next_town=closer(actual,dist, visited)
        total_distance += sum_step(actual, next_town,  dist)
        actual = next_town
    total_distance += sum_step(actual, next_town,  dist)
    print (' :', total_distance)

def closer(town, dist, visited):
    c= None
    for i in range(len(visited)):
        if not visited[i]:
            if c == None or dist[town][i] < dist[town][c]:
                c = i
    return c

def sum_step (actual,next_town,dist):
    distance =dist[actual][next_town]
    print ("we go from", town[actual], "to", town[next_town],'with',distance, "km")
    return distance

print(greedy_circuit(1,dist,town[0]))

What does this mean? Are you talking about different ways to get from the start to the finish? Or are you talking about each step on that path?

What is the start and the finish for the trip?

Why should the result be 810 km?

So, how is it wrong? What numbers were added to get 503? Is something missing? Is there a wrong distance between cities? Is the addition wrong somehow? Did you try to check exactly how it goes wrong?