Scatter Point Plot 

This problem deals with generating a plot of points that fit on the display screen. The Y axis is vertical and contains 20 lines (one Y value for each row); the X axis is horizontal and contains 12 positions (each X value takes 5 columns).

Input 

Input consistes of several datasets. The first line of the input indicates the number of test cases. The second line is void, and the datasets follow. Each dataset is defined as follows:


1st line 		 low X value and X axis increment 
2nd line 		 low Y value and Y axis increment
		 Followed by one X value and one Y value per line.
		  They will be positive integers up to 4 digits.

There is a blank line between datasets.

Output 

For each dataset, character display a X,Y plot including grid lines and axis labelling as shown in the sample below. Print Y-values right-justified in a field of width 4 ans `:' in column number five. None of the lines in the output file will contain trailing blanks. That is, every line will end with the last non-blank character in it.


All pairs of X, Y values will be inputted and the lowest and highest needs to be found to determine scaling values. The increment for each row or column will be based on 20 positions for the Y axis and 12 for the X axis. When establishing what position a value will fall on rounding is to be done up at the halfway point to the next increment value.

If only one X, Y value falls at a particular point display the character 1. If two X, Y values fall at a particular point display the character 2; if three X, Y values fall at a particular point display the character 3; etc.

In case that there were ten or more X, Y values falling at a point, the numbers have to be centered on the cross-marks in the following way:

                          1000
                           100
                           10
                            1
                    ...+----+----+...

Print a blank line between datasets.

Sample Input 

1

100 50
0 5
100,20
101,22
100,23
100,0
100,3
649,0
649,3
647,2
500,85
206,21
325,43
612,8
129,19
501,83

Sample Output 

   95:
   90:
   85:                                            2
   80:
   75:
   70:
   65:
   60:
   55:
   50:
   45:                             1
   40:
   35:
   30:
   25:    1
   20:    2    1    1
   15:
   10:                                                      1
    5:    1                                                      1
    0:    1                                                      2
     +----+----+----+----+----+----+----+----+----+----+----+----+
         100  150  200  250  300  350  400  450  500  550  600  650



Miguel Revilla
2000-08-31