帮我用Dijkstra算法写一个最佳游览路线推荐函数,即确定从某一景点出发,经过景区所有景点且距离最短的游览路线,用C语言
时间: 2024-03-08 13:45:27 浏览: 174
好的,以下是用 C 语言实现的最佳游览路线推荐函数,使用 Dijkstra 算法:
```c
#include <stdio.h>
#include <stdlib.h>
#include <limits.h>
#define V 4 // 顶点数
int minDistance(int dist[], int visited[]) {
int min = INT_MAX, min_index;
for (int v = 0; v < V; v++) {
if (visited[v] == 0 && dist[v] <= min) {
min = dist[v];
min_index = v;
}
}
return min_index;
}
void dijkstra(int graph[V][V], int start, int dist[]) {
int visited[V] = {0};
for (int i = 0; i < V; i++) {
dist[i] = INT_MAX;
}
dist[start] = 0;
for (int count = 0; count < V-1; count++) {
int u = minDistance(dist, visited);
visited[u] = 1;
for (int v = 0; v < V; v++) {
if (!visited[v] && graph[u][v] && dist[u] != INT_MAX && dist[u]+graph[u][v] < dist[v]) {
dist[v] = dist[u] + graph[u][v];
}
}
}
}
int* find_shortest_path(int graph[V][V], int start, int end, int path[]) {
int queue[V], rear = 0, front = 0;
int visited[V] = {0};
visited[start] = 1;
queue[rear++] = start;
path[start] = -1;
while (front != rear) {
int vertex = queue[front++];
for (int i = 0; i < V; i++) {
if (graph[vertex][i] && !visited[i]) {
visited[i] = 1;
queue[rear++] = i;
path[i] = vertex;
}
}
}
int* shortest_path = (int*) malloc(V * sizeof(int));
int index = 0;
for (int i = end; i != -1; i = path[i]) {
shortest_path[index++] = i;
}
shortest_path = (int*) realloc(shortest_path, index * sizeof(int));
for (int i = 0, j = index-1; i < j; i++, j--) {
int temp = shortest_path[i];
shortest_path[i] = shortest_path[j];
shortest_path[j] = temp;
}
return shortest_path;
}
void recommend_route(int graph[V][V], int start) {
int dist[V], path[V];
dijkstra(graph, start, dist);
int vertices[V-1];
for (int i = 0, j = 0; i < V; i++) {
if (i != start) {
vertices[j++] = i;
}
}
for (int i = 0; i < V-1; i++) {
int min_index = i;
for (int j = i+1; j < V-1; j++) {
if (dist[vertices[j]] < dist[vertices[min_index]]) {
min_index = j;
}
}
int temp = vertices[i];
vertices[i] = vertices[min_index];
vertices[min_index] = temp;
}
int path_len = 1;
int current_vertex = start;
for (int i = 0; i < V-1; i++) {
int* shortest_path = find_shortest_path(graph, current_vertex, vertices[i], path);
for (int j = 1; j < shortest_path[0]; j++) {
printf("%d->", shortest_path[j]);
}
current_vertex = shortest_path[shortest_path[0]];
path_len += shortest_path[0]-1;
free(shortest_path);
}
int* shortest_path = find_shortest_path(graph, current_vertex, start, path);
for (int j = 1; j < shortest_path[0]; j++) {
printf("%d->", shortest_path[j]);
}
printf("%d\n", start);
path_len += shortest_path[0]-1;
free(shortest_path);
printf("Total path length: %d\n", path_len);
}
int main() {
int graph[V][V] = {
{0, 6, 3, 0},
{6, 0, 2, 5},
{3, 2, 0, 3},
{0, 5, 3, 0}
};
int start = 0;
recommend_route(graph, start);
return 0;
}
```
在 main 函数中,我们构建了一个带权图,然后调用 recommend_route 函数来确定从出发点出发,经过景区所有景点且距离最短的游览路线。
请注意,`graph` 参数应该是一个二维数组,用于表示带权图。其中,二维数组的第一维表示起始顶点,第二维表示结束顶点,数组的值表示相邻顶点之间的距离。在本例中,我们使用了一个 4x4 的矩阵来表示带权图。
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