一个迷宫是由N(无限制,你可以取任何值,比如20,50,90,1000等)多个房间组成,每两个相邻的房间之间有可能会有一条通道。这个通道有个神奇的特性,那就是当一个人从一个房间经过某条通道进入到另一个房间后,他身后那条通道会立即消失,同时其他三个方向上可能会出现新的通道,当然也可能没有新通道出现,那就证明这是个死胡同,走不通,但此时你已经退不回去了,说的粗俗点就是“你挂了”。
现在让你编一个程序,在一个给定的迷宫里面找到所有潜在可能的逃生路径,并将他们打印出来。注意:有可能会有环路哦!
要求:
1、程序尽可能简练,算法的时间和空间复杂度没有强制要求,但要合情理。假如,你的程序处理1000个房间时,用了20多秒,那肯定是不合格的。
2、将所有逃生路径全部输出,但不要重复输出相同的路径。
3、程序必须能够正确处理可能存在的环路情况。
例如:
这个示例中有环路,编号为0的房间为出口处。
如果从房间号为127的格子出发,那么存在两条逃生路径。因此,你的程序应该输出像下面这样的结果:
starting in room 127
path found
in 127 go south
in 17 go south
in 8 go south
in 12 go west
in 25 go west
outside
path found
in 127 go south
in 17 go west
in 93 go south
in 25 go west
outside
我的解法:
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#include <stdio.h>
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#include <unistd.h>
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enum direction {
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EAST,
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WEST,
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SOUTH,
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NORTH,
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DIR_NUM,
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};
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char *dir_str[DIR_NUM] = {"east", "west", "south", "north"};
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struct room {
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int number;
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enum direction open;
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struct room *doors[DIR_NUM];
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};
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struct room rooms[10] = {
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{ //0
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.number = 4,
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.open = DIR_NUM,
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.doors = {NULL},
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},
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{ //1
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.number = 127,
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.open = DIR_NUM,
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.doors = {rooms+2, NULL, rooms+4, NULL},
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},
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{ //2
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.number = 61,
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.open = DIR_NUM,
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.doors = {NULL, NULL, rooms+5, NULL},
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},
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{ //3
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.number = 93,
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.open = DIR_NUM,
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.doors = {rooms+4, NULL, rooms+7, rooms},
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},
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{ //4
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.number = 17,
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.open = DIR_NUM,
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.doors = {rooms+5, rooms+3, rooms+8, NULL},
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},
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{ //5
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.number = 43,
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.open = DIR_NUM,
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.doors = {rooms, NULL, NULL, NULL},
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},
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{ //6
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.number = 0,
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.open = DIR_NUM,
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.doors = {NULL},
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},
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{ //7
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.number = 25,
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.open = DIR_NUM,
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.doors = {rooms+8, rooms+6, NULL, rooms+3},
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},
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{ //8
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.number = 8,
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.open = DIR_NUM,
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.doors = {NULL, NULL, rooms+9, rooms+4},
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},
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{ //9
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.number = 12,
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.open = DIR_NUM,
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.doors = {rooms+5, rooms+7, NULL, rooms+8},
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},
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};
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int room_num = 10;
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int exit_room_number = 0;
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struct room *start_room = rooms+1;
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void print_path()
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{
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struct room *start = start_room;
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printf("path found\n");
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while (start->open != DIR_NUM)
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{
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printf("\t in %d go %s.\n", start->number, dir_str[start->open]);
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start = start->doors[start->open];
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}
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printf("outside\n\n");
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}
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void path_find(struct room *start)
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{
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int i;
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if ( start->number == exit_room_number)
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{
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print_path();
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return;
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}
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if ( start->open != DIR_NUM)
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return;
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if ( start->doors[EAST] != NULL)
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{
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start->open = EAST;
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path_find(start->doors[EAST]);
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}
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if ( start->doors[WEST] != NULL)
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{
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start->open = WEST;
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path_find(start->doors[WEST]);
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}
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if ( start->doors[SOUTH] != NULL)
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{
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start->open = SOUTH;
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path_find(start->doors[SOUTH]);
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}
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if ( start->doors[NORTH] !=NULL)
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{
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start->open = NORTH;
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path_find(start->doors[NORTH]);
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}
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start->open = DIR_NUM;
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return;
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}
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int main(int argc, char*argv[])
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{
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printf("starting in room %d\n", start_room->number);
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path_find(start_room);
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return 0;
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}
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