Given space (x,y) and a bunch of points (x_i,y_j) starting from (1,1) partition the space into squared such that each square starts from (1,1) or (x_i,y_j) filling the space to (x_i+,y_j+1) (in ither words filling the space between it) and no square overlaps with any other. Example: if the (x_i,y_j) is at (3,4) than the area between (1,1) and (3,4) can be filled with square o=(1,1,3):

0  1  2  3   
1  o  o  o
2  o  o  o   
3  o  o  o   
4        x
[download]

and a=(1,4,1) b=(2,4,1) x = (3,4,1)

0  1  2  3   
1  o  o  o
2  o  o  o   
3  o  o  o   
4  a  b  x
[download]

so the result is :

(1,1,3)
(1,4,1)
(2,4,1)
(3,4,1)
[download]

and of course this repeats for all other points in the initial chart (marked with "X") until the entire area (12,12) is filled

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