Othello is a game played by two people on an 8 x 8 board, using disks that are white on one side and black on the other. One player places disks with the white side up and the other player places disks with the black side up. The players alternate placing one disk on an unoccupied space on the board. In placing a disk, the player must bracket at least one of the other color disks. Disks are bracketed if they are in a straight line horizontally, vertically, or diagonally, with a disk of the current player’s color at each end of the line. When a move is made, all the disks that were bracketed are changed to the color of the player making the move. (It is possible that disks will be bracketed across more than one line in a single move.)

Write a program to read a series of Othello games.

Input

The first line of the input is the number of games to be processed. Each game consists of a board configuration followed by a list of commands. The board configuration consists of 9 lines. The first 8 specify the current state of the board. Each of these 8 lines contains 8 characters, and each of these characters will be one of the following:

‘-’ indicating an unoccupied square

‘B’ indicating a square occupied by a black disk

‘W’ indicating a square occupied by a white disk

The ninth line is either a ‘B’ or a ‘W’ to indicate which is the current player. You may assume that the data is legally formatted.

Then a set of commands follows. The commands are to list all possible moves for the current player, make a move, or quit the current game. There is one command per line with no blanks in the input.

Output

The commands and the corresponding outputs are formatted as follows:

List all possible moves for the current player. The command is an ‘L’ in the first column of the line. The program should go through the board and print all legal moves for the current player in the format (x, y) where x represents the row of the legal move and y represents its column. These moves should be printed in row major order which means:

1) all legal moves in row number i will be printed before any legal move in row number j if j is greater than i and

2) if there is more than one legal move in row number i, the moves will be printed in ascending order based on column number.

All legal moves should be put on one line. If there is no legal move because it is impossible for the current player to bracket any pieces, the program should print the message ‘No legal move.’

Make a move.

The command is an ‘M’ in the first column of the line, followed by 2 digits in the second and third column of the line. The digits are the row and the column of the space to place the piece of the current player’s color, unless the current player has no legal move. If the current player has no legal move, the current player is first changed to the other player and the move will be the move of the new current player. You may assume that the move is then legal. You should record the changes to the board, including adding the new piece and changing the color of all bracketed pieces. At the end of the move, print the number of pieces of each color on the board in the format ‘Black - xx White - yy’ where xx is the number of black pieces on the board and yy is the number of white pieces on the board. After a move, the current player will be changed to the player that did not move.

Quit the current game.

The command will be a ‘Q’ in the first column of the line. At this point, print the final board configuration using the same format as was used in the input. This terminates input for the current game.

You may assume that the commands will be syntactically correct. Put one blank line between output from separate games and no blank lines anywhere else in the output.

Sample Input

2
--------
--------
--------
---WB---
---BW---
--------
--------
--------
W
L
M35
L
Q
WWWWB---
WWWB----
WWB-----
WB------
--------
--------
--------
--------
B
L
M25
L
Q

Sample Output

(3,5) (4,6) (5,3) (6,4)
Black - 1 White - 4
(3,4) (3,6) (5,6)
--------
--------
----W---
---WW---
---BW---
--------
--------
--------
No legal move.
Black - 3 White - 12
(3,5)
WWWWB---
WWWWW---
WWB-----
WB------
--------
--------
--------
--------

题目类型：简单模拟

算法分析：按照题目的要求直接分类模拟输出即可，注意最后一个测试用例的最后没有多余的空行，输出棋子个数时的格式和一个位置可能存在夹住异色棋子的多个状态，下面第一个代码是更好的实现

 A children’s board game consists of a square array of dots that contains lines connecting some of the pairs of adjacent dots. One part of the game requires that the players count the number of squares of certain sizes that are formed by these lines. For example, in the figure shown below, there are 3 squares — 2 of size 1 and 1 of size 2. (The “size” of a square is the number of lines segments required to form a side.)

Your problem is to write a program that automates the process of counting all the possible squares.

Input

The input file represents a series of game boards. Each board consists of a description of a square array of n 2 dots (where 2 ≤ n ≤ 9) and some interconnecting horizontal and vertical lines. A record for a single board with n 2 dots and m interconnecting lines is formatted as follows:

Line 1: n the number of dots in a single row or column of the array

Line 2: m the number of interconnecting lines

Each of the next m lines are of one of two types:

H i j indicates a horizontal line in row i which connects the dot in column j to the one to its right in column j + 1

V i j indicates a vertical line in column i which connects the dot in row j to the one below in row j + 1

Information for each line begins in column 1. The end of input is indicated by end-of-file. The first record of the sample input below represents the board of the square above.

Output

For each record, label the corresponding output with ‘Problem #1’, ‘Problem #2’, and so forth. Output for a record consists of the number of squares of each size on the board, from the smallest to the largest. lf no squares of any size exist, your program should print an appropriate message indicating so. Separate output for successive input records by a line of asterisks between two blank lines, like in the sample below.

Sample Input

4
16
H 1 1
H 1 3
H 2 1
H 2 2
H 2 3
H 3 2
H 4 2
H 4 3
V 1 1
V 2 1
V 2 2
V 2 3
V 3 2
V 4 1
V 4 2
V 4 3
2
3
H 1 1
H 2 1
V 2 1
Sample Output

Problem #1

2 square (s) of size 1

1 square (s) of size 2

**********************************

Problem #2

No completed squares can be found.

题目类型：简单模拟

算法分析：构造一个链接点与点之间关系的图，然后从小到大枚举每一个可能的子正方形的边长，按照从上至下，从左至右的顺序以每一个元素的位置为起始位置来”构造”相应边长的子正方形。注意最后一个测试用例的最后没有多余的空行。输出多余的空行在UVA上会WA，下面第一个代码是更好的实现