dims  Steps Taken Along Each Dimension―k^{th} partition is the origin  
 2D Case (min path)  2D Case (max path)  3D Case (min path)  3D Case (max path)  
x_{1}  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1 
x_{2}  0  0  0  1  1  1  1  1  1  1  1  0  0  0  0  0  0  1  1  1  1  1  1  1  1  0  0  0 
x_{3} 













 0  0  0  0  0  1  1  1  1  0  0  0  0  0 
 Coordinates Of Path Along Each Dimension―k^{th} partition is the origin  
 2D Case (min path)  2D Case (max path)  3D Case (min path)  3D Case (max path)  
x_{1}  1  2  3  4  5  6  7  1  2  3  4  5  6  7  1  2  3  4  5  6  7  1  2  3  4  5  6  7 
x_{2}  0  0  0  1  2  3  4  1  2  3  4  4  4  4  0  0  0  1  2  3  4  1  2  3  4  4  4  4 
x_{3} 








 Ý x_{2} holds at 4  0  0  0  0  0  1  2  1  2  2  2  2  2  2  






















 Ý x_{3} holds at 2 

 
























 Ý x_{2} holds at 4  
ΣL1  1  3  6  11  18  27  38  2  6  12  20  29  39  50  1  3  6  11  18  28  41  3  9  17  27  38  50  63 