1 MATRIX IS OF ORDER   1 AND HAS   0 OFF-DIAGONAL NON-ZEROS



 THE REORDERED MATRIX WHICH HAS  1 BLOCK IS OF THE FORM


  X                                                                                                  

 THE STARTING POINT FOR EACH BLOCK IS GIVEN BY

     1
1 MATRIX IS OF ORDER   2 AND HAS   1 OFF-DIAGONAL NON-ZEROS



 THE REORDERED MATRIX WHICH HAS  2 BLOCKS IS OF THE FORM


  X 0                                                                                                

  X X                                                                                                

 THE STARTING POINT FOR EACH BLOCK IS GIVEN BY

     1     2
1 MATRIX IS OF ORDER   2 AND HAS   2 OFF-DIAGONAL NON-ZEROS



 THE REORDERED MATRIX WHICH HAS  1 BLOCK IS OF THE FORM


  XX                                                                                                 
  XX                                                                                                 

 THE STARTING POINT FOR EACH BLOCK IS GIVEN BY

     1
1 MATRIX IS OF ORDER   3 AND HAS   3 OFF-DIAGONAL NON-ZEROS



 THE REORDERED MATRIX WHICH HAS  2 BLOCKS IS OF THE FORM


  XX 0                                                                                               
  XX 0                                                                                               

  0X X                                                                                               

 THE STARTING POINT FOR EACH BLOCK IS GIVEN BY

     1     3
1 MATRIX IS OF ORDER   4 AND HAS   4 OFF-DIAGONAL NON-ZEROS



 THE REORDERED MATRIX WHICH HAS  4 BLOCKS IS OF THE FORM


  X 0 0 0                                                                                            

  X X 0 0                                                                                            

  X 0 X 0                                                                                            

  X X 0 X                                                                                            

 THE STARTING POINT FOR EACH BLOCK IS GIVEN BY

     1     2     3     4
1 MATRIX IS OF ORDER   5 AND HAS  10 OFF-DIAGONAL NON-ZEROS



 THE REORDERED MATRIX WHICH HAS  3 BLOCKS IS OF THE FORM


  XX0 0 0                                                                                            
  XXX 0 0                                                                                            
  XXX 0 0                                                                                            

  XXX X 0                                                                                            

  00X X X                                                                                            

 THE STARTING POINT FOR EACH BLOCK IS GIVEN BY

     1     4     5
1 MATRIX IS OF ORDER  10 AND HAS  10 OFF-DIAGONAL NON-ZEROS



 THE REORDERED MATRIX WHICH HAS  6 BLOCKS IS OF THE FORM


  X 0000 0 00 0 0                                                                                    

  0 X00X 0 00 0 0                                                                                    
  0 XXX0 0 00 0 0                                                                                    
  0 0XX0 0 00 0 0                                                                                    
  0 00XX 0 00 0 0                                                                                    

  0 000X X 00 0 0                                                                                    

  X 0000 0 XX 0 0                                                                                    
  0 0000 0 XX 0 0                                                                                    

  0 0000 0 00 X 0                                                                                    

  0 0000 0 00 X X                                                                                    

 THE STARTING POINT FOR EACH BLOCK IS GIVEN BY

     1     2     6     7     9    10
1 MATRIX IS OF ORDER  10 AND HAS  20 OFF-DIAGONAL NON-ZEROS



 THE REORDERED MATRIX WHICH HAS  6 BLOCKS IS OF THE FORM


  X 00 0000 0 0 0                                                                                    

  0 XX 0000 0 0 0                                                                                    
  X XX 0000 0 0 0                                                                                    

  0 00 XX0X 0 0 0                                                                                    
  X 0X XX00 0 0 0                                                                                    
  0 00 XXX0 0 0 0                                                                                    
  0 00 00XX 0 0 0                                                                                    

  X X0 0X0X X 0 0                                                                                    

  0 00 00X0 0 X 0                                                                                    

  X 00 0X0X 0 X X                                                                                    

 THE STARTING POINT FOR EACH BLOCK IS GIVEN BY

     1     2     4     8     9    10
1 MATRIX IS OF ORDER  20 AND HAS  20 OFF-DIAGONAL NON-ZEROS



 THE REORDERED MATRIX WHICH HAS 19 BLOCKS IS OF THE FORM


  X 0 0 0 0 0 0 0 0 0 0 0 0 0 00 0 0 0 0                                                             

  X X 0 0 0 0 0 0 0 0 0 0 0 0 00 0 0 0 0                                                             

  0 0 X 0 0 0 0 0 0 0 0 0 0 0 00 0 0 0 0                                                             

  0 0 0 X 0 0 0 0 0 0 0 0 0 0 00 0 0 0 0                                                             

  0 0 X X X 0 0 0 0 0 0 0 0 0 00 0 0 0 0                                                             

  0 0 0 0 0 X 0 0 0 0 0 0 0 0 00 0 0 0 0                                                             

  0 0 0 0 X X X 0 0 0 0 0 0 0 00 0 0 0 0                                                             

  0 0 0 0 0 0 0 X 0 0 0 0 0 0 00 0 0 0 0                                                             

  0 0 0 X 0 0 0 0 X 0 0 0 0 0 00 0 0 0 0                                                             

  0 0 0 0 X 0 0 X X X 0 0 0 0 00 0 0 0 0                                                             

  0 0 0 0 0 0 0 0 0 0 X 0 0 0 00 0 0 0 0                                                             

  0 0 0 X 0 0 0 0 0 0 0 X 0 0 00 0 0 0 0                                                             

  0 0 0 0 0 0 0 0 0 0 0 X X 0 00 0 0 0 0                                                             

  0 0 0 0 0 0 0 0 X 0 0 0 0 X 00 0 0 0 0                                                             

  0 0 0 0 0 0 0 0 0 0 0 0 0 0 XX 0 0 0 0                                                             
  0 0 X 0 0 0 0 0 0 0 0 0 0 0 XX 0 0 0 0                                                             

  0 0 0 0 0 0 0 0 0 0 0 0 0 0 00 X 0 0 0                                                             

  0 0 0 X 0 0 0 0 0 0 0 0 0 0 00 0 X 0 0                                                             

  0 X 0 X 0 0 0 0 0 0 0 0 0 0 X0 0 0 X 0                                                             

  0 0 0 0 0 X 0 0 0 0 0 0 0 0 00 0 0 0 X                                                             

 THE STARTING POINT FOR EACH BLOCK IS GIVEN BY

     1     2     3     4     5     6     7     8     9    10    11    12    13    14    15    17    18    19    20
1 MATRIX IS OF ORDER  20 AND HAS  50 OFF-DIAGONAL NON-ZEROS



 THE REORDERED MATRIX WHICH HAS  5 BLOCKS IS OF THE FORM


  X0X0000000000000 0 0 0 0                                                                           
  0X000000000XX000 0 0 0 0                                                                           
  0XX00X0000X000X0 0 0 0 0                                                                           
  000X0000XX000XX0 0 0 0 0                                                                           
  0000X00000X0000X 0 0 0 0                                                                           
  00000X000X000000 0 0 0 0                                                                           
  000XXXXX00000000 0 0 0 0                                                                           
  000000XX0000X0XX 0 0 0 0                                                                           
  0000000XX0000000 0 0 0 0                                                                           
  00000000XXX00X00 0 0 0 0                                                                           
  X0X0000X0XX0000X 0 0 0 0                                                                           
  000XX00000XXX000 0 0 0 0                                                                           
  00000000000XXX00 0 0 0 0                                                                           
  000000000000XX00 0 0 0 0                                                                           
  0000000000000XXX 0 0 0 0                                                                           
  XX0000000X0000XX 0 0 0 0                                                                           

  000000000000000X X 0 0 0                                                                           

  0000000X0X000000 0 X 0 0                                                                           

  000X000000000000 0 X X 0                                                                           

  00X0000000000000 0 0 0 X                                                                           

 THE STARTING POINT FOR EACH BLOCK IS GIVEN BY

     1    17    18    19    20
1 MATRIX IS OF ORDER  50 AND HAS  50 OFF-DIAGONAL NON-ZEROS



 THE REORDERED MATRIX WHICH HAS 50 BLOCKS IS OF THE FORM


  X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

  0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

  0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

  0 0 X X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

  0 0 0 X X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

  0 X 0 0 X X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

  0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

  0 0 0 X 0 0 X X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

  0 0 0 0 0 0 0 X X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

  0 0 0 0 0 X 0 X X X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

  X 0 0 0 0 0 0 0 0 X X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

  0 0 0 0 0 0 0 0 0 0 X X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

  0 0 0 0 0 0 0 0 0 0 0 X X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

  0 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

  0 0 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

  0 0 0 0 0 0 0 0 0 0 0 0 0 0 X X X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

  0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

  0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 X X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

  X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X 0 X 0 0 X X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

  0 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 X X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 X X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X X 0 0 0 0 0 0 0 0 0 X X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

  0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0

  0 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X X X 0 0 0 0 0 0 0 0 0 0 0 0 0

  0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0

  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0

  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X X 0 0 0 0 0 0 0 0 0 0

  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0

  0 0 0 X 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0

  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0

  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0

  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0

  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0

  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0

  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0

  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X 0

  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X

 THE STARTING POINT FOR EACH BLOCK IS GIVEN BY

     1     2     3     4     5     6     7     8     9    10    11    12    13    14    15    16    17    18    19    20
    21    22    23    24    25    26    27    28    29    30    31    32    33    34    35    36    37    38    39    40
    41    42    43    44    45    46    47    48    49    50
1 MATRIX IS OF ORDER  50 AND HAS 200 OFF-DIAGONAL NON-ZEROS



 THE REORDERED MATRIX WHICH HAS  2 BLOCKS IS OF THE FORM


  X 0000000000000000000000000000000000000000000000000                                                

  0 X00000000X00000XX00000000000000000000000000000000                                                
  0 0X000000000000000000X0000X0000000000000X000000000                                                
  0 00X00000000000000000000000000X00000000X0000000000                                                
  0 000X00000000000000X0000000000000000000000000X000X                                                
  0 0000X000000000X00000000000XXX0000000000000000X00X                                                
  0 0000XX0000000000000XX0000000XX000000000000X000000                                                
  X 000000X0000000X00000X0000X0X00000000000X000000000                                                
  0 0000000X000000000X000X000000000000000X00X00000000                                                
  0 00000000X0000000000000000000000X00X00000000000000                                                
  0 00000000XX0X0000000XXX000000000XX0000000000000000                                                
  0 0000000000X00000000000X00000000000000000X000000XX                                                
  0 0000000000XX0000000000000000000000000000000000000                                                
  0 00000000000XX0000000X0000X00000000000000000000000                                                
  0 000000000X00XX00000000000X0000000X000000000000000                                                
  0 0000000000X00XX0000000000000000000000000000000000                                                
  0 000000000X0000XX000000000000000X000000XX000000000                                                
  0 0000000X0X00000XXX0000X000000000000X0000000000000                                                
  0 0000000000000000XX000000000000X000000000000000000                                                
  0 00000000000000000XX00000X0000X0000X0X000000000000                                                
  0 000000000X00000000XX000000000000000XX0X0000000000                                                
  0 000000X0000X0000000XX000000X0X0000000000000000000                                                
  0 00000X000000000000XXXX000X000000X000000X000X00000                                                
  0 000000000000000000000XX000000000000XX000000000000                                                
  X 00XX000000000000000000XX0X00000000000000000000000                                                
  0 00000000000000X00000000XX0000000000000000000X0000                                                
  0 0000000000X00000X0000000XX0X0000X00000000X0000000                                                
  0 000000000000000000000000XXX0000000000000000000000                                                
  0 000X00X0000000000000000000XX0X000X000000000000000                                                
  0 000000000000000000000000000XX00000X00000000000000                                                
  0 00000000000000000000000000000X00000X000000000X00X                                                
  0 0000000000000000000000000000XXX00X0000X00000000X0                                                
  0 0000000000X0000000000000000000XX00000000000000000                                                
  0 0000000000X00000000000000000000XX000000000000X000                                                
  0 000000000000000000X0000000000000XX000000000000000                                                
  0 0000000000000000000000000000000000X0000000000X000                                                
  0 000000000000000000000000000000000XXX0000000000000                                                
  0 000000000000000000000000000000X0000XX000000000000                                                
  0 0000000X0000000000000000000000000000XX000000X0000                                                
  0 0000000X0000000000000X0000X0000000000XX000X000000                                                
  0 0X00000000X0000000X0XX0000000000000000XX00X0X000X                                                
  0 000000000X000X00X0XX000000000000X000000XXX00X0000                                                
  0 00000000000XX000X0000000000000000000000XXXX000000                                                
  0 0000000X000000000000000000000000000000000XX000000                                                
  0 X0X000000000000X00000X000000X000X000000000XX00000                                                
  0 000X0000X00000000000000000X0X00000000000000XX000X                                                
  0 00X0000X00000000000000000X000000000000000000XX000                                                
  0 0000000000000000X00000000000X0000000000000000XX00                                                
  0 00000000000000X0X00000000000000000000000000000XX0                                                
  0 000000000000X0XX000000000000000000000000000000XXX                                                

 THE STARTING POINT FOR EACH BLOCK IS GIVEN BY

     1     2
