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1 | 1 | def print_dist(dist, v): |
2 | | - """ |
3 | | - Print vertex distances. |
4 | | - >>> print_dist([0.0, 5.0, 8.0, 9.0], 4) |
5 | | - Vertex Distance |
6 | | - 0 0 |
7 | | - 1 5 |
8 | | - 2 8 |
9 | | - 3 9 |
10 | | - >>> print_dist([0.0, float('inf')], 2) |
11 | | - Vertex Distance |
12 | | - 0 0 |
13 | | - 1 INF |
14 | | - >>> print_dist([0.0], 1) |
15 | | - Vertex Distance |
16 | | - 0 0 |
17 | | - """ |
18 | | - print("Vertex Distance") |
19 | | - for i in range(v): |
20 | | - if dist[i] != float("inf"): |
21 | | - print(i," ", int(dist[i])) |
22 | | - else: |
23 | | - print(i," ", "INF") |
| 2 | + """ |
| 3 | + Print vertex distances. |
| 4 | + >>> print_dist([0.0, 5.0, 8.0, 9.0], 4) |
| 5 | + Vertex Distance |
| 6 | + 0 0 |
| 7 | + 1 5 |
| 8 | + 2 8 |
| 9 | + 3 9 |
| 10 | + >>> print_dist([0.0, float('inf')], 2) |
| 11 | + Vertex Distance |
| 12 | + 0 0 |
| 13 | + 1 INF |
| 14 | + >>> print_dist([0.0], 1) |
| 15 | + Vertex Distance |
| 16 | + 0 0 |
| 17 | + """ |
| 18 | + print("Vertex Distance") |
| 19 | + for i in range(v): |
| 20 | + if dist[i] != float("inf"): |
| 21 | + print(i, " ", int(dist[i])) |
| 22 | + else: |
| 23 | + print(i, " ", "INF") |
24 | 24 |
|
25 | 25 |
|
26 | 26 | def min_dist(mdist, vset, v): |
27 | | - """ |
28 | | - Finds the vertex with minimum distance that hasn't been visited yet. |
29 | | - >>> min_dist([0, 4, 2, float('inf')], [True, False, False, False], 4) |
30 | | - 2 |
31 | | - >>> min_dist([0, 4, 2, 1], [True, False, True, False], 4) |
32 | | - 3 |
33 | | - >>> min_dist([0, 4, 2, 1], [True, True, True, True], 4) |
34 | | - -1 |
35 | | - >>> min_dist([float('inf'), float('inf')], [False, False], 2) |
36 | | - -1 |
37 | | - """ |
38 | | - min_val = float("inf") |
39 | | - min_ind = -1 |
40 | | - for i in range(v): |
41 | | - if (not vset[i]) and mdist[i] < min_val: |
42 | | - min_ind = i |
43 | | - min_val = mdist[i] |
44 | | - return min_ind |
| 27 | + """ |
| 28 | + Finds the vertex with minimum distance that hasn't been visited yet. |
| 29 | + >>> min_dist([0, 4, 2, float('inf')], [True, False, False, False], 4) |
| 30 | + 2 |
| 31 | + >>> min_dist([0, 4, 2, 1], [True, False, True, False], 4) |
| 32 | + 3 |
| 33 | + >>> min_dist([0, 4, 2, 1], [True, True, True, True], 4) |
| 34 | + -1 |
| 35 | + >>> min_dist([float('inf'), float('inf')], [False, False], 2) |
| 36 | + -1 |
| 37 | + """ |
| 38 | + min_val = float("inf") |
| 39 | + min_ind = -1 |
| 40 | + for i in range(v): |
| 41 | + if (not vset[i]) and mdist[i] < min_val: |
| 42 | + min_ind = i |
| 43 | + min_val = mdist[i] |
| 44 | + return min_ind |
45 | 45 |
|
46 | 46 |
|
47 | 47 | def dijkstra(graph, v, src): |
48 | | - """ |
49 | | - Runs Dijkstra's algorithm and prints distances. |
50 | | - >>> g = [ |
51 | | - ... [0.0, 5.0, float('inf'), 10.0], |
52 | | - ... [float('inf'), 0.0, 3.0, float('inf')], |
53 | | - ... [float('inf'), float('inf'), 0.0, 1.0], |
54 | | - ... [float('inf'), float('inf'), float('inf'), 0.0], |
55 | | - ... ] |
56 | | - >>> dijkstra(g, 4, 0) |
57 | | - Vertex Distance |
58 | | - 0 0 |
59 | | - 1 5 |
60 | | - 2 8 |
61 | | - 3 9 |
62 | | - >>> g2 = [ |
63 | | - ... [0.0, float('inf')], |
64 | | - ... [float('inf'), 0.0], |
65 | | - ... ] |
66 | | - >>> dijkstra(g2, 2, 0) |
67 | | - Vertex Distance |
68 | | - 0 0 |
69 | | - 1 INF |
70 | | - >>> dijkstra([[0.0]], 1, 0) |
71 | | - Exception raised: |
72 | | - Traceback (most recent call last): |
73 | | - ... |
74 | | - UnboundLocalError: cannot access local variable 'i' where it is not associated with a value |
75 | | - """ |
76 | | - mdist = [float("inf") for _ in range(v)] |
77 | | - vset = [False for _ in range(v)] |
78 | | - mdist[src] = 0.0 |
| 48 | + """ |
| 49 | + Runs Dijkstra's algorithm and prints distances. |
| 50 | + >>> g = [ |
| 51 | + ... [0.0, 5.0, float('inf'), 10.0], |
| 52 | + ... [float('inf'), 0.0, 3.0, float('inf')], |
| 53 | + ... [float('inf'), float('inf'), 0.0, 1.0], |
| 54 | + ... [float('inf'), float('inf'), float('inf'), 0.0], |
| 55 | + ... ] |
| 56 | + >>> dijkstra(g, 4, 0) |
| 57 | + Vertex Distance |
| 58 | + 0 0 |
| 59 | + 1 5 |
| 60 | + 2 8 |
| 61 | + 3 9 |
| 62 | + >>> g2 = [ |
| 63 | + ... [0.0, float('inf')], |
| 64 | + ... [float('inf'), 0.0], |
| 65 | + ... ] |
| 66 | + >>> dijkstra(g2, 2, 0) |
| 67 | + Vertex Distance |
| 68 | + 0 0 |
| 69 | + 1 INF |
| 70 | + >>> dijkstra([[0.0]], 1, 0) |
| 71 | + Exception raised: |
| 72 | + Traceback (most recent call last): |
| 73 | + ... |
| 74 | + UnboundLocalError: cannot access local variable 'i' where it is not associated with a value |
| 75 | + """ |
| 76 | + mdist = [float("inf") for _ in range(v)] |
| 77 | + vset = [False for _ in range(v)] |
| 78 | + mdist[src] = 0.0 |
79 | 79 |
|
80 | | - for _ in range(v - 1): |
81 | | - u = min_dist(mdist, vset, v) |
82 | | - vset[u] = True |
| 80 | + for _ in range(v - 1): |
| 81 | + u = min_dist(mdist, vset, v) |
| 82 | + vset[u] = True |
83 | 83 |
|
84 | | - for i in range(v): |
85 | | - if ( |
86 | | - (not vset[i]) |
87 | | - and graph[u][i] != float("inf") |
88 | | - and mdist[u] + graph[u][i] < mdist[i] |
89 | | - ): |
90 | | - mdist[i] = mdist[u] + graph[u][i] |
| 84 | + for i in range(v): |
| 85 | + if ( |
| 86 | + (not vset[i]) |
| 87 | + and graph[u][i] != float("inf") |
| 88 | + and mdist[u] + graph[u][i] < mdist[i] |
| 89 | + ): |
| 90 | + mdist[i] = mdist[u] + graph[u][i] |
91 | 91 |
|
92 | | - print_dist(mdist, v) |
| 92 | + print_dist(mdist, v) |
93 | 93 |
|
94 | 94 |
|
95 | 95 | if __name__ == "__main__": |
96 | | - V = int(input("Enter number of vertices: ").strip()) |
97 | | - E = int(input("Enter number of edges: ").strip()) |
| 96 | + V = int(input("Enter number of vertices: ").strip()) |
| 97 | + E = int(input("Enter number of edges: ").strip()) |
98 | 98 |
|
99 | | - graph = [[float("inf") for i in range(V)] for j in range(V)] |
| 99 | + graph = [[float("inf") for i in range(V)] for j in range(V)] |
100 | 100 |
|
101 | | - for i in range(V): |
102 | | - graph[i][i] = 0.0 |
| 101 | + for i in range(V): |
| 102 | + graph[i][i] = 0.0 |
103 | 103 |
|
104 | | - for i in range(E): |
105 | | - print("\nEdge ", i + 1) |
106 | | - src = int(input("Enter source:").strip()) |
107 | | - dst = int(input("Enter destination:").strip()) |
108 | | - weight = float(input("Enter weight:").strip()) |
109 | | - graph[src][dst] = weight |
| 104 | + for i in range(E): |
| 105 | + print("\nEdge ", i + 1) |
| 106 | + src = int(input("Enter source:").strip()) |
| 107 | + dst = int(input("Enter destination:").strip()) |
| 108 | + weight = float(input("Enter weight:").strip()) |
| 109 | + graph[src][dst] = weight |
110 | 110 |
|
111 | | - gsrc = int(input("\nEnter shortest path source:").strip()) |
112 | | - dijkstra(graph, V, gsrc) |
| 111 | + gsrc = int(input("\nEnter shortest path source:").strip()) |
| 112 | + dijkstra(graph, V, gsrc) |
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