搜索进阶------G - Nightmare Ⅱ

Last night, little erriyue had a horrible nightmare. He dreamed that he and his girl friend were trapped in a big maze separately. More terribly, there are two ghosts in the maze. They will kill the people. Now little erriyue wants to know if he could find his girl friend before the ghosts find them.
You may suppose that little erriyue and his girl friend can move in 4 directions. In each second, little erriyue can move 3 steps and his girl friend can move 1 step. The ghosts are evil, every second they will divide into several parts to occupy the grids within 2 steps to them until they occupy the whole maze. You can suppose that at every second the ghosts divide firstly then the little erriyue and his girl friend start to move, and if little erriyue or his girl friend arrive at a grid with a ghost, they will die.
Note: the new ghosts also can devide as the original ghost.
Input
The input starts with an integer T, means the number of test cases.
Each test case starts with a line contains two integers n and m, means the size of the maze. (1 The next n lines describe the maze. Each line contains m characters. The characters may be:
‘.’ denotes an empty place, all can walk on.
‘X’ denotes a wall, only people can’t walk on.
‘M’ denotes little erriyue
‘G’ denotes the girl friend.
‘Z’ denotes the ghosts.
It is guaranteed that will contain exactly one letter M, one letter G and two letters Z.
Output
Output a single integer S in one line, denotes erriyue and his girlfriend will meet in the minimum time S if they can meet successfully, or output -1 denotes they failed to meet.
Sample Input
3
5 6
XXXXXX
XZ…ZX
XXXXXX
M.G…
…
5 6
XXXXXX
XZZ…X
XXXXXX
M…
…G…

10 10
…
…X…
…M.X…X.
X…
.X…X.X.X.
…X
…XX…X.
X…G…X
…ZX.X…
…Z…X…X
Sample Output
1
1
-1

解这道题重要的是，不用bfs怪兽到达某点的时间，可直接利用两点间的曼哈顿距离来判断是否这个点有没有怪兽，dis <= 2 * t 代表这个点在t秒有怪兽
接下来就是双向bfs
注意：不能每次扩展一个节点，我每次一个节点一个节点的扩展，wa的我都想哭，找不到为什么wa，也没有数据
但是如果一层一层的扩展就可以a了

#include
#include
#include
#include
#include