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main.py
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main.py
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inf = float("inf")
def algoDijkstra(G, deb):
# Initialisation
S1 = []
n = len(G)
S2 = list(range(n))
pi = [inf] * n
pi[deb] = 0
pred = [None] * n
while S2 != []:
# Choisir i dans S2 tel que pi[i] soit minimal
piMin = pi[S2[0]]
sommet = S2[0]
for i in S2:
if pi[i] < piMin:
piMin = pi[i]
sommet = i
S2.remove(sommet)
S1.append(sommet)
v = []
for j in range(n):
if G[sommet][j] != 0 and j in S2:
v.append(j)
for k in v:
if pi[sommet] + G[sommet][k] < pi[k]:
pi[k] = pi[sommet] + G[sommet][k]
pred[k] = sommet
return S1, pi
G = [[0, 8, 6, 5, inf, inf, 6, 11],
[8, 0, inf, 10, 14, 8, 10, 15],
[6, inf, 0, 5, inf, inf, inf, inf],
[5, 10, 5, 0, 6, inf, inf, 8],
[inf, 14, inf, 6, 0, 10, inf, inf],
[inf, 8, inf, inf, 10, 0, 12, inf],
[6, 10, inf, inf, inf, 12, 0, inf],
[11, 15, inf, 8, inf, inf, inf, 0]]
listSommets, listPi = algoDijkstra(G, 0)
a = 0
for i in range (len(listSommets)):
print(str(listSommets[a])+" -> "+str(listSommets[i])+" = "+str(listPi[i]))
print("\nListe des sommets: " +str(listSommets))
print("\nListe des poids: " +str(listPi))