用C语言写程序,要求找出迷宫的所有路径,并将用链表表示每条路径,同时输出路径数量。注意:链表一个节点包含一条路径
时间: 2024-05-15 14:14:10 浏览: 139
好的,这是一个很有意思的问题。我会给你提供一份C语言程序的伪代码来解决这个问题,你可以根据伪代码自己实现。
1. 定义迷宫地图数据结构
```
#define MAX_ROW 100
#define MAX_COL 100
typedef struct {
int row;
int col;
} Position;
typedef struct {
int map[MAX_ROW][MAX_COL];
int rows;
int cols;
Position start;
Position end;
} Maze;
```
2. 定义链表节点数据结构
```
typedef struct PathNode {
Position position;
struct PathNode* next;
} PathNode;
```
3. 定义函数来创建一个路径节点,并将其添加到链表中
```
PathNode* create_path_node(Position position) {
PathNode* node = (PathNode*)malloc(sizeof(PathNode));
node->position = position;
node->next = NULL;
return node;
}
void add_path_node(PathNode** path, Position position) {
PathNode* node = create_path_node(position);
node->next = (*path);
(*path) = node;
}
```
4. 定义函数来打印一条路径
```
void print_path(PathNode* path) {
while (path != NULL) {
printf("(%d, %d) ", path->position.row, path->position.col);
path = path->next;
}
printf("\n");
}
```
5. 定义函数来判断一个位置是否可以走
```
int can_move(Maze* maze, Position position) {
if (position.row < 0 || position.row >= maze->rows ||
position.col < 0 || position.col >= maze->cols) {
return 0;
}
if (maze->map[position.row][position.col] == 1) {
return 0;
}
return 1;
}
```
6. 定义函数来递归搜索所有路径
```
void find_paths(Maze* maze, PathNode** path, int* count, Position current) {
if (current.row == maze->end.row && current.col == maze->end.col) {
// 如果已经到达终点,则输出这条路径
(*count)++;
print_path(*path);
return;
}
// 否则继续搜索四个方向
Position next;
next.row = current.row - 1; next.col = current.col;
if (can_move(maze, next)) {
add_path_node(path, next);
find_paths(maze, path, count, next);
(*path) = (*path)->next; // 回溯
}
next.row = current.row + 1; next.col = current.col;
if (can_move(maze, next)) {
add_path_node(path, next);
find_paths(maze, path, count, next);
(*path) = (*path)->next; // 回溯
}
next.row = current.row; next.col = current.col - 1;
if (can_move(maze, next)) {
add_path_node(path, next);
find_paths(maze, path, count, next);
(*path) = (*path)->next; // 回溯
}
next.row = current.row; next.col = current.col + 1;
if (can_move(maze, next)) {
add_path_node(path, next);
find_paths(maze, path, count, next);
(*path) = (*path)->next; // 回溯
}
}
```
7. 最后,定义主函数来调用上述函数
```
int main() {
Maze maze;
// 读入迷宫地图
// ...
PathNode* path = NULL;
int count = 0;
add_path_node(&path, maze.start); // 将起点添加到路径中
find_paths(&maze, &path, &count, maze.start);
printf("Total paths: %d\n", count);
return 0;
}
```
以上是伪代码,你可以参照上述思路实现一个完整的C语言程序来解决这个问题。
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