Counting Black

Time Limit: 1000MS

Memory Limit: 10000K

Description

There is a board with 100 * 100 grids as shown below. The left-top gird is denoted as (1, 1) and the right-bottom grid is (100, 100).
We may apply three commands to the board:
1.	WHITE  x, y, L     // Paint a white square on the board, 
                           // the square is defined by left-top grid (x, y)
                           // and right-bottom grid (x+L-1, y+L-1)

2.	BLACK  x, y, L     // Paint a black square on the board, 
                           // the square is defined by left-top grid (x, y)
                           // and right-bottom grid (x+L-1, y+L-1)

3.	TEST     x, y, L    // Ask for the number of black grids 
                            // in the square (x, y)- (x+L-1, y+L-1) 
In the beginning, all the grids on the board are white. We apply a series of commands to the board. Your task is to write a program to give the numbers of black grids within a required region when a TEST command is applied.

Input

The first line of the input is an integer t (1 <= t <= 100), representing the number of commands. In each of the following lines, there is a command. Assume all the commands are legal which means that they won't try to paint/test the grids outside the board.

Output

For each TEST command, print a line with the number of black grids in the required region.

Sample Input

5
BLACK 1 1 2
BLACK 2 2 2
TEST 1 1 3
WHITE 2 1 1
TEST 1 1 3

Sample Output

7
6

Hint

Source

POJ Monthly--2004.05.15 Liu Rujia@POJ

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