求解起点和终点不确定的带权图的最短路径的代码
时间: 2023-06-09 10:03:06 浏览: 84
这是一个比较复杂的问题,需要使用一些图论算法。以下是一种基于Dijkstra算法的实现,可以求解起点和终点不确定的带权图的最短路径,你可以参考一下。
首先,我们需要定义一个图的数据结构。可以使用邻接表来表示图。
```python
class Graph:
def __init__(self, vertices):
self.V = vertices
self.graph = defaultdict(list)
def add_edge(self, u, v, w):
self.graph[u].append((v, w))
self.graph[v].append((u, w))
```
接下来,我们实现Dijkstra算法来求解最短路径。
```python
import heapq
def dijkstra(graph, source):
distance = [float("inf")]*graph.V
distance[source] = 0
heap = [(0, source)]
while heap:
(dist, current) = heapq.heappop(heap)
if dist > distance[current]:
continue
for neighbor, weight in graph.graph[current]:
w = weight + dist
if w < distance[neighbor]:
distance[neighbor] = w
heapq.heappush(heap, (w, neighbor))
return distance
```
最后,我们可以将这两个函数组合起来,来计算任意两个节点的最短距离。以下是完整的代码。
```python
from collections import defaultdict
import heapq
class Graph:
def __init__(self, vertices):
self.V = vertices
self.graph = defaultdict(list)
def add_edge(self, u, v, w):
self.graph[u].append((v, w))
self.graph[v].append((u, w))
def dijkstra(graph, source):
distance = [float("inf")]*graph.V
distance[source] = 0
heap = [(0, source)]
while heap:
(dist, current) = heapq.heappop(heap)
if dist > distance[current]:
continue
for neighbor, weight in graph.graph[current]:
w = weight + dist
if w < distance[neighbor]:
distance[neighbor] = w
heapq.heappush(heap, (w, neighbor))
return distance
def shortest_path(graph):
result = []
for i in range(graph.V):
dist = dijkstra(graph, i)
result.append(dist)
return result
```
注意,这只是其中一种实现方式,并不是唯一的解决方案。你可以根据需求选择适合的算法。
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