# 1780. Escape

You find yourself trapped in a large rectangular room, made up of large square tiles; some

are accessible, others are blocked by obstacles or walls. With a single step, you can move

from one tile to another tile if it is horizontally or vertically adjacent (i.e. you cannot move

diagonally).

To shake off any people following you, you do not want to move in a straight line. In fact,

you want to take a turn at every opportunity, never moving in any single direction longer

than strictly necessary. This means that if, for example, you enter a tile from the south,

you will turn either left or right, leaving to the west or the east. Only if both directions

are blocked, will you move on straight ahead. You never turn around and go back!

Given a map of the room and your starting location, figure out how long it will take you

to escape (that is: reach the edge of the room).

### 输入格式

On the first line an integer t (1 <= t <= 100): the number of test cases. Then for each test

case:

1. a line with two integers separated by a space, h and w (1 <= h,w <= 80), the height

and width of the room;

1. then h lines, each containing w characters, describing the room. Each character is one

of . (period; an accessible space), # (a blocked space) or @ (your starting location).

There will be exactly one @ character in each room description.

### 输出格式

For each test case:

1. A line with an integer: the minimal number of steps necessary to reach the edge of

the room, or -1 if no escape is possible.

### 样例

Input
2
9 13
#############
#@..........#
#####.#.#.#.#
#...........#
#.#.#.#.#.#.#
#.#.......#.#
#.#.#.#.#.#.#
#...........#
#####.#######
4 6
#.####
#.#.##
#...@#
######

Output
31
-1


88 人解决，155 人已尝试。

117 份提交通过，共有 550 份提交。

4.5 EMB 奖励。