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Simple Python implementation of dynamic programming algorithm for the Traveling salesman problem
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def solve_tsp_dynamic(points): | |
#calc all lengths | |
all_distances = [[length(x,y) for y in points] for x in points] | |
#initial value - just distance from 0 to every other point + keep the track of edges | |
A = {(frozenset([0, idx+1]), idx+1): (dist, [0,idx+1]) for idx,dist in enumerate(all_distances[0][1:])} | |
cnt = len(points) | |
for m in range(2, cnt): | |
B = {} | |
for S in [frozenset(C) | {0} for C in itertools.combinations(range(1, cnt), m)]: | |
for j in S - {0}: | |
B[(S, j)] = min( [(A[(S-{j},k)][0] + all_distances[k][j], A[(S-{j},k)][1] + [j]) for k in S if k != 0 and k!=j]) #this will use 0th index of tuple for ordering, the same as if key=itemgetter(0) used | |
A = B | |
res = min([(A[d][0] + all_distances[0][d[1]], A[d][1]) for d in iter(A)]) | |
return res[1] |
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sir can u please send the screenshot of the output