Magic Square – Topographical model -

 

        ( Craig Knecht – 2007)

 

       The above illustration represents a potential section of a magic square.

 

       The height of the towers is specified by the value in the cell

 

        My primary focus with the topographical model is to delineate the patterns of

        Water retention within the square

 

     

 

 

 

 

 

 

 

ORDER 4  Magic Square    WATER RETENTION PATTERNS   –

WITH OCCURRENCE OF EACH – TOTAL = 880

 

 

 

        Figure 2

 

a)      there are 880 different order 4 magic squares

b)      137 of the 880 squares retain no water according to the topographical model

c)      water can only flow on the x.,y axis according to the model

d)      for the interior cells with values 9,6,12,7

1)      the cell with value 9  ie a height of 9 … water could escape out on the path over  

the cell with value 8 or over cell with 6, then 4 or  cell 6,7,1 ….

But no water will be retained in the cell with value 9

 

2)      the cell with value 6 ..  escapes out over cell with value 4 … no water retained

3)      the cell with value 12 … escapes over cell 5

4)      the cell with value 7 excapes over cell with value 1

 

 

 

Figure 3

 

a)      of the 880 order 4 magic squares  in  396 only one cell retains water ..

b)      in the example of above the cell with value 2 retains water ..

c)      the amount of water this cell retains = 5 units … as it will fill to a

level of 7 before it spills off the edge

 

 

 

 

 

 

 

 

 

 

figure 4.

 

a)      of the 880 order 4 magic squares 252 retain water in two cells

on the same row or column

 

 

b)      the lowest path out for both the cells retaining water in this example

is on the path > 9 > 4 … but both cells well retain water to the level

of 9 .. so 9 units of water will be retained ( ( 9 – 7) + (9 – 2) ) = 9

 

 

 

 

figure 5

 

a)      of the 880 order 4 magic squares – 95 retain water with two cells on the

diagonal

 

b)      the cell with value  2… lowest path out = 7 ,  retains 5 units of water

the cell with value  3 …lowest path out = 6 ,  retains 3 units of water

 

total units retained by this square = 8 units

 

 

Francis Gaspalou sent me this example  - 69 units retained

 ( Maximum retention for order 5 magic square)

 

 

 

 

 

 

 

 

 

 

ORDER 7  :  largest retained value I have found so far …

 

 

 

 

 

 

 

 

 

 

 

Examples – retain water …but remain balanced …

 

13 examples for order 4 square

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 Example from Gaspalou … retains water … remains balanced

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

For order 5 … retains water … both cells on same row …

Remains balanced

 

 

 

 

 

 

 

figure above …. “ Big Island “

 

 

 

Help wanted …

 

 

1)      program using a algorithm ( perhaps Greedy algorithm) that will compute the amount of retained water  for any given order of square

          

a)      apply program to the known set of associated order 5 squares

b)      apply program to 20 million order 7 pandiagonal associated magic squares

 

 

 Program for generating the tabular data:

 (visual basic )

              a1, a2, a3, a4

              b1, b2, b3, b4

              c1, c2, c3, c4

              d1, d2, d3, d4

 

 

 

             The above is the convention for labeling

             The order 4 cells  

 

 

 

             cell b2  …  b2u = units retained

             cell b3  …  b3u = units retained

             cell c2  …  c2u = units retained

             cell c3  …  c3u = units retained

 

 

 

 

         

             10 pathways of escape are examined

             for each interior cell.  The

             largest cell value of each path

             is placed in the variables labeled

             p1,p2,p3,p4,p5,p6,p7,p8,p9,p10

 

 

 

             the lowest path  out of the

             of the p1,p2,p3,p4,p5,p6,p7,p8,p9,p10

             is placed in the respective

             variables b2u,b3u,c2u,c3u

 

 

                negative values are removed by the equation

             If b2u < 0 then b2u = 0

 

 

 

 

 

 

            

              subtracting the lowest path value out from the

              value of the cell… gives the units retained

              by the equation b2u = b2u – b2

 

 

 

 

             source file  contains data from Harvey Heinz web site

            On the 880 order 4 magic squares …

 

            n1 = the number of the magic square 1 > 880

            n2 = the number of the Dudneney Group for the square

            n3 = the number of units of water retained for the square

 

           

           

 

 

 

 

            the equation b2u + b3u + c2u + c3u adds up the

            units retained by each interior cell

 

 

 

 

 

 

 

 

                   

             

 

 

For y = 1 To 880

 

Input #1, n1, n2, n3, a1, a2, a3, a4, b1, b2, b3, b4, c1, c2, c3, c4, d1, d2, d3, d4

 

 

 

b2 cell  retained units > variable b2u

 

 

p1 = b1

 

p2 = a2

 

p3 = b3

   If a3 > b3 Then

      p3 = a3

      End If

     

p4 = b3

   If b4 > b3 Then

      p4 = b4

      End If

     

p5 = b3

   If c3 > b3 Then

      p5 = c3

      End If

        If c4 > p5 Then

          p5 = c4

          End If

  

  

p6 = b3

   If c3 > b3 Then

     p6 = c3

     End If

      If d3 > p6 Then

         p6 = d3

           End If

     

     

p7 = c2

 If c1 > c2 Then

    p7 = c1

    End If

   

p8 = c2

   If d2 > c2 Then

     p8 = d2

     End If

    

p9 = c2

   If c3 > c2 Then

      p9 = c3

      End If

      If c4 > p9 Then

        p9 = c4

        End If

   

   

p10 = c2

   If c3 > c2 Then

     p10 = c3

     End If

       If d3 > p10 Then

         p10 = d3

         End If

   

   

   

   

 

  

  

   b2u = p1

  

   If p2 < b2u Then

     b2u = p2

     End If

    

    

   If p3 < b2u Then

     b2u = p3

     End If

    

 

    If p4 < b2u Then

     b2u = p4

     End If

 

 

    If p5 < b2u Then

     b2u = p5

     End If

    

    If p6 < b2u Then

     b2u = p6

      End If

     

    

     If p7 < b2u Then

     b2u = p7

     End If

    

    

    

     If p8 < b2u Then

     b2u = p8

     End If

    

    

     If p9 < b2u Then

     b2u = p9

     End If

    

    

     If p10 < b2u Then

     b2u = p10

     End If

    

    

    

     b2u = b2u - b2

    

    If b2u < 0 Then b2u = 0

 

 

 

 B3 cell  retained units > variable b3u

 

 

p1 = b4

 

p2 = a3

 

p3 = b2

   If a2 > b2 Then

      p3 = a2

      End If

     

p4 = b2

   If b1 > b2 Then

      p4 = b1

      End If

     

p5 = b2

   If c2 > b2 Then

      p5 = c2

      End If

        If c1 > p5 Then

          p5 = c1

          End If

  

  

p6 = b2

   If c2 > b2 Then

     p6 = c2

     End If

      If d2 > p6 Then

         p6 = d2

           End If

     

     

p7 = c3

 If c4 > c3 Then

    p7 = c4

    End If

   

p8 = c3

   If d3 > c3 Then

     p8 = d3

     End If

    

p9 = c3

   If c2 > c3 Then

      p9 = c2

      End If

      If c1 > p9 Then

        p9 = c1

        End If

   

   

p10 = c3

   If c2 > c3 Then

     p10 = c2

     End If

       If d2 > p10 Then

         p10 = d2

         End If

   

   

   

   

 

  

  

   b3u = p1

  

   If p2 < b3u Then

     b3u = p2

     End If

    

    

   If p3 < b3u Then

     b3u = p3

     End If

    

 

    If p4 < b3u Then

     b3u = p4

     End If

 

 

    If p5 < b3u Then

     b3u = p5

     End If

    

    If p6 < b3u Then

     b3u = p6

      End If

     

    

     If p7 < b3u Then

     b3u = p7

     End If

    

    

    

     If p8 < b3u Then

     b3u = p8

     End If

    

    

     If p9 < b3u Then

     b3u = p9

     End If

    

    

     If p10 < b3u Then

     b3u = p10

     End If

    

    

    

     b3u = b3u - b3

    

    If b3u < 0 Then b3u = 0

 

 

 

 

 

 

 

 

C2 cell  retained units > variable c2u

 

 

 

 

p1 = c1

 

p2 = d2

 

p3 = c3

   If d3 > c3 Then

      p3 = d3

      End If

     

p4 = c3

   If c4 > c3 Then

      p4 = c4

      End If

     

p5 = c3

   If b3 > c3 Then

      p5 = c3

      End If

        If b4 > p5 Then

          p5 = b4

          End If

  

  

p6 = c3

   If b3 > c3 Then

     p6 = b3

     End If

      If a3 > p6 Then

         p6 = a3

           End If

     

     

p7 = b2

 If b1 > b2 Then

    p7 = b1

    End If

   

p8 = b2

   If a2 > b2 Then

     p8 = a2

     End If

    

p9 = b2

   If b3 > b2 Then

      p9 = b3

      End If

      If b4 > p9 Then

        p9 = b4

        End If

   

   

p10 = b2

   If b3 > b2 Then

     p10 = c3

     End If

       If a3 > p10 Then

         p10 = a3

         End If

   

   

   

 

  

  

   c2u = p1

  

   If p2 < c2u Then

     c2u = p2

     End If

    

    

   If p3 < c2u Then

     c2u = p3

     End If

    

 

    If p4 < c2u Then

     c2u = p4

     End If

 

 

    If p5 < c2u Then

     c2u = p5

     End If

    

    If p6 < c2u Then

     c2u = p6

      End If

     

    

     If p7 < c2u Then

     c2u = p7

     End If

    

    

    

     If p8 < c2u Then

     c2u = p8

     End If

    

    

     If p9 < c2u Then

     c2u = p9

     End If

     

    

     If p10 < c2u Then

     c2u = p10

     End If

    

    

    

     c2u = c2u - c2

    

    If c2u < 0 Then c2u = 0

 

 

 

 

 

  

  

C3 cell  retained units > variable c3u   

 

 

 

  

p1 = c4

 

p2 = d3

 

p3 = c2

 

 

   If d2 > c2 Then

      p3 = d2

      End If

     

p4 = c2

   If c1 > c2 Then

      p4 = c1

      End If

     

p5 = c2

   If b2 > c2 Then

      p5 = c3

      End If

        If b1 > p5 Then

          p5 = b1

          End If

  

  

p6 = c2

   If b2 > c2 Then

     p6 = b2

     End If

      If a2 > p6 Then

         p6 = a2

           End If

     

     

p7 = b3

 If b4 > b3 Then

    p7 = b4

    End If

   

p8 = b3

   If a3 > b3 Then

     p8 = a3

     End If

    

p9 = b3

   If b2 > b3 Then

      p9 = b2

      End If

      If b1 > p9 Then

        p9 = b1

        End If

   

   

p10 = b3

   If b2 > c3 Then

     p10 = b2

     End If

       If a2 > p10 Then

         p10 = a2

         End If

   

   

   

   

 

  

  

   c3u = p1

  

   If p2 < c3u Then

     c3u = p2

     End If

    

    

   If p3 < c3u Then

     c3u = p3

     End If

    

 

    If p4 < c3u Then

     c3u = p4

     End If

 

 

    If p5 < c3u Then

     c3u = p5

     End If

    

    If p6 < c3u Then

     c3u = p6

      End If

     

    

     If p7 < c3u Then

     c3u = p7

     End If

    

    

    

     If p8 < c3u Then

     c3u = p8

     End If

    

    

     If p9 < c3u Then

     c3u = p9

     End If

    

    

     If p10 < c3u Then

     c3u = p10

     End If

    

    

    

     c3u = c3u - c3

 

     If c3u < 0 Then c3u = 0

    

    

 

n3 = b2u + b3u + c2u + c3u

 

 

 

Rem picking up the no cell solutions ....  > variable a$

 

 

 

 

  If b2u = 0 And b3u = 0 And c2u = 0 And c3u = 0 Then

 

     a$ = "+"

    

     End If

    

    

    

    

 Rem picking up the one cell only solutions > variable b$

 

 

 

 

 

  If b2u = 0 And b3u = 0 And c2u = 0 And c3u <> 0 Then

 

   c3p = c3p + 1

   b$ = "+"

 

  End If

 

 

 

  If b2u = 0 And c3u = 0 And c2u = 0 And b3u <> 0 Then

 

      b3p = b3p + 1

      b$ = "+"

      End If

 

 

  If b3u = 0 And c3u = 0 And c2u = 0 And b2u <> 0 Then

 

    b2p = b2p + 1

    b$ = "+"

    End If

 

 

  If b2u = 0 And b3u = 0 And c3u = 0 And c2u <> 0 Then

    b$ = "+"

    End If

 

 

Rem picking up the diagonal solutions .... > variable d$

 

 

 

 

  If b3u <> 0 And c2u <> 0 Then

   

    

     d$ = "+"

     End If

    

 

 

  If b2u <> 0 And c3u <> 0 Then

  

   

   

    End If

 

 

  If b2u <> 0 And b3u <> 0 Then

 

 

   c$ = "+"

   End If

 

 

  If b3u <> 0 And c3u <> 0 Then

 

  

   c$ = "+"

   End If

 

 

  If c2u <> 0 And c3u <> 0 Then

 

  

   c$ = " + "

   End If

 

 

 

 If b2u <> 0 And c2u <> 0 Then

 

 

  c$ = "+"

  End If

 

 

 

 

If b3u <> 0 And c2u <> 0 And b3u = c2u Then

 

 e$ = "+"

 

  End If

 

 

Print #2, n1, n2, n3, a$, b$, c$, d$, e$, a1, a2, a3, a4, b1, b2, b3, b4, c1, c2, c3, c4, d1, d2, d3, d4

 

 

 

 

a$ = "-"

b$ = "-"

c$ = "-"

d$ = "-"

e$ = "-"

 

 

 

Next y

 

 

Print "end"

End Sub

 

 

Private Sub Form_Load()

 

 

Open "I:\dudney\ugroupi.txt" For Input As #1

 

Open "I:\dudney2\ugroupn.txt" For Output As #2

 

 

 

 

 

ORDER 4  WATER RETENTION  PATTERNS

 

Dud = Dudeney Group #

U     =   total units retained by square

A     =   pattern = no cells retain water

B     =   pattern  =  one cell only retains water

C    =    pattern  =  two cells retain water on the same row or column

D     =   pattern  =  two cells retain on the diagonal

E      =  pattern   =  water retained, remains balanced

 

 

 

Dud         U           A             B            C            D         E                16  cell values for order 4 square

 

102             1             8             -             -             -             +             -             1 8 10 15 12 13 3 6 7 2 16 9 14 11 5 4

104             1             5             -             +             -             -             -             1 8 10 15 14 11 5 4 7 2 16 9 12 13 3 6

107             1             8             -             -             -             +             -             1 8 11 14 12 13 2 7 6 3 16 9 15 10 5 4

109             1             3             -             +             -             -             -             1 8 11 14 15 10 5 4 6 3 16 9 12 13 2 7

116             1             5             -             +             -             -             -             1 8 13 12 14 11 2 7 4 5 16 9 15 10 3 6

117             1             3             -             +             -             -             -             1 8 13 12 15 10 3 6 4 5 16 9 14 11 2 7

171             1             9             -             -             +             -             -             1 12 6 15 14 7 9 4 11 2 16 5 8 13 3 10

174             1             9             -             -             +             -             -             1 12 7 14 15 6 9 4 10 3 16 5 8 13 2 11

177             1             9             -             -             +             -             -             1 12 13 8 14 7 2 11 4 9 16 5 15 6 3 10

178             1             9             -             -             +             -             -             1 12 13 8 15 6 3 10 4 9 16 5 14 7 2 11

201             1             9             -             -             +             -             -             1 14 7 12 15 4 9 6 10 5 16 3 8 11 2 13

204             1             9             -             -             +             -             -             1 14 11 8 15 4 5 10 6 9 16 3 12 7 2 13

279             1             8             -             -             -             +             -             2 7 9 16 11 14 4 5 8 1 15 10 13 12 6 3

281             1             7             -             +             -             -             -             2 7 9 16 13 12 6 3 8 1 15 10 11 14 4 5

292             1             8             -             -             -             +             -             2 7 12 13 11 14 1 8 5 4 15 10 16 9 6 3

294             1             1             -             +             -             -             -             2 7 12 13 16 9 6 3 5 4 15 10 11 14 1 8

304             1             7             -             +             -             -             -             2 7 14 11 13 12 1 8 3 6 15 10 16 9 4 5

305             1             1             -             +             -             -             -             2 7 14 11 16 9 4 5 3 6 15 10 13 12 1 8

355             1           11             -             -             +             -             -             2 11 5 16 13 8 10 3 12 1 15 6 7 14 4 9

365             1             9             -             -             +             -             -             2 11 8 13 16 5 10 3 9 4 15 6 7 14 1 12

372             1           11             -             -             +             -             -             2 11 14 7 13 8 1 12 3 10 15 6 16 5 4 9

375             1             9             -             -             +             -             -             2 11 14 7 16 5 4 9 3 10 15 6 13 8 1 12

393             1             9             -             -             +             -             -             2 13 8 11 16 3 10 5 9 6 15 4 7 12 1 14

396             1             9             -             -             +             -             -             2 13 12 7 16 3 6 9 5 10 15 4 11 8 1 14

469             1             7             -             +             -             -             -             3 6 9 16 13 12 7 2 8 1 14 11 10 15 4 5

473             1             1             -             +             -             -             -             3 6 12 13 16 9 7 2 5 4 14 11 10 15 1 8

483             1             7             -             +             -             -             -             3 6 15 10 13 12 1 8 2 7 14 11 16 9 4 5

485             1             1             -             +             -             -             -             3 6 15 10 16 9 4 5 2 7 14 11 13 12 1 8

530             1           11             -             -             +             -             -             3 10 5 16 13 8 11 2 12 1 14 7 6 15 4 9

532             1             9             -             -             +             -             -             3 10 8 13 16 5 11 2 9 4 14 7 6 15 1 12

536             1           11             -             -             +             -             -             3 10 15 6 13 8 1 12 2 11 14 7 16 5 4 9

537             1             9             -             -             +             -             -             3 10 15 6 16 5 4 9 2 11 14 7 13 8 1 12

560             1             9             -             -             +             -             -             3 13 8 10 16 2 11 5 9 7 14 4 6 12 1 15

565             1             9             -             -             +             -             -             3 13 12 6 16 2 7 9 5 11 14 4 10 8 1 15

621             1             5             -             +             -             -             -             4 5 10 15 14 11 8 1 7 2 13 12 9 16 3 6

623             1             3             -             +             -             -             -             4 5 11 14 15 10 8 1 6 3 13 12 9 16 2 7

646             1             5             -             +             -             -             -             4 5 16 9 14 11 2 7 1 8 13 12 15 10 3 6

647             1             3             -             +             -             -             -             4 5 16 9 15 10 3 6 1 8 13 12 14 11 2 7

690             1             9             -             -             +             -             -             4 9 6 15 14 7 12 1 11 2 13 8 5 16 3 10

691             1             9             -             -             +             -             -             4 9 7 14 15 6 12 1 10 3 13 8 5 16 2 11

702             1             9             -             -             +             -             -             4 9 16 5 14 7 2 11 1 12 13 8 15 6 3 10

704             1             9             -             -             +             -             -             4 9 16 5 15 6 3 10 1 12 13 8 14 7 2 11

744             1           11             -             -             +             -             -             4 14 7 9 15 1 12 6 10 8 13 3 5 11 2 16

748             1           11             -             -             +             -             -             4 14 11 5 15 1 8 10 6 12 13 3 9 7 2 16

785             1             0             +             -             -             -             -             5 4 14 11 16 9 7 2 3 6 12 13 10 15 1 8

788             1             0             +             -             -             -             -             5 4 15 10 16 9 6 3 2 7 12 13 11 14 1 8

828             1             0             +             -             -             -             -             6 3 13 12 15 10 8 1 4 5 11 14 9 16 2 7

839             1             0             +             -             -             -             -             6 3 16 9 15 10 5 4 1 8 11 14 12 13 2 7

21               2             4             -             -             -             +             -             1 4 14 15 13 16 2 3 8 5 11 10 12 9 7 6

22               2             1             -             +             -             -             -             1 4 14 15 13 16 2 3 12 9 7 6 8 5 11 10

27               2             3             -             +             -             -             -             1 4 15 14 13 16 3 2 8 5 10 11 12 9 6 7

28               2             0             +             -             -             -             -             1 4 15 14 13 16 3 2 12 9 6 7 8 5 10 11

56               2             8             -             -             -             +             -             1 6 12 15 11 16 2 5 8 3 13 10 14 9 7 4

57               2             3             -             +             -             -             -             1 6 12 15 11 16 2 5 14 9 7 4 8 3 13 10

62               2             5             -             +             -             -             -             1 6 15 12 11 16 5 2 8 3 10 13 14 9 4 7

63               2             1             -             +             -             -             -             1 6 15 12 11 16 5 2 14 9 4 7 8 3 10 13

82               2             8             -             -             -             +             -             1 7 12 14 10 16 3 5 8 2 13 11 15 9 6 4

83               2             2             -             +             -             -             -             1 7 12 14 10 16 3 5 15 9 6 4 8 2 13 11

89               2             6             -             +             -             -             -             1 7 14 12 10 16 5 3 8 2 11 13 15 9 4 6

90               2             1             -             +             -             -             -             1 7 14 12 10 16 5 3 15 9 4 6 8 2 11 13

213             2             4             -             -             -             +             -             2 3 13 16 14 15 1 4 7 6 12 9 11 10 8 5

214             2             3             -             +             -             -             -             2 3 13 16 14 15 1 4 11 10 8 5 7 6 12 9

233             2             1             -             +             -             -             -             2 3 16 13 14 15 4 1 7 6 9 12 11 10 5 8

234             2             0             +             -             -             -             -             2 3 16 13 14 15 4 1 11 10 5 8 7 6 9 12

246             2             8             -             -             -             +             -             2 5 11 16 12 15 1 6 7 4 14 9 13 10 8 3

247             2             5             -             +             -             -             -             2 5 11 16 12 15 1 6 13 10 8 3 7 4 14 9

269             2             3             -             +             -             -             -             2 5 16 11 12 15 6 1 7 4 9 14 13 10 3 8

270             2             3             -             +             -             -             -             2 5 16 11 12 15 6 1 13 10 3 8 7 4 9 14

316             2             8             -             -             -             +             -             2 8 11 13 9 15 4 6 7 1 14 12 16 10 5 3

317             2             1             -             +             -             -             -             2 8 11 13 9 15 4 6 16 10 5 3 7 1 14 12

323             2             6             -             +             -             -             -             2 8 13 11 9 15 6 4 7 1 12 14 16 10 3 5

324             2             2             -             +             -             -             -             2 8 13 11 9 15 6 4 16 10 3 5 7 1 12 14

421             2             3             -             +             -             -             -             3 2 13 16 15 14 1 4 6 7 12 9 10 11 8 5

422             2             3             -             +             -             -             -             3 2 13 16 15 14 1 4 10 11 8 5 6 7 12 9

445             2             0             +             -             -             -             -             3 2 16 13 15 14 4 1 6 7 9 12 10 11 5 8

446             2             0             +             -             -             -             -             3 2 16 13 15 14 4 1 10 11 5 8 6 7 9 12

450             2             6             -             +             -             -             -             3 5 10 16 12 14 1 7 13 11 8 2 6 4 15 9

464             2             2             -             +             -             -             -             3 5 16 10 12 14 7 1 6 4 9 15 13 11 2 8

465             2             5             -             +             -             -             -             3 5 16 10 12 14 7 1 13 11 2 8 6 4 9 15

503             2             1             -             +             -             -             -             3 8 10 13 9 14 4 7 16 11 5 2 6 1 15 12

505             2             5             -             +             -             -             -             3 8 13 10 9 14 7 4 6 1 12 15 16 11 2 5

506             2             3             -             +             -             -             -             3 8 13 10 9 14 7 4 16 11 2 5 6 1 12 15

583             2             1             -             +             -             -             -             4 1 14 15 16 13 2 3 5 8 11 10 9 12 7 6

584             2             1             -             +             -             -             -             4 1 14 15 16 13 2 3 9 12 7 6 5 8 11 10

591             2             0             +             -             -             -             -             4 1 15 14 16 13 3 2 5 8 10 11 9 12 6 7

592             2             0             +             -             -             -             -             4 1 15 14 16 13 3 2 9 12 6 7 5 8 10 11

648             2             5             -             +             -             -             -             4 6 9 15 11 13 2 8 14 12 7 1 5 3 16 10

661             2             2             -             +             -             -             -             4 6 15 9 11 13 8 2 5 3 10 16 14 12 1 7

662             2             6             -             +             -             -             -             4 6 15 9 11 13 8 2 14 12 1 7 5 3 10 16

668             2             3             -             +             -             -             -             4 7 9 14 10 13 3 8 15 12 6 1 5 2 16 11

678             2             3             -             +             -             -             -             4 7 14 9 10 13 8 3 5 2 11 16 15 12 1 6

679             2             5             -             +             -             -             -             4 7 14 9 10 13 8 3 15 12 1 6 5 2 11 16

768             2             0             +             -             -             -             -             5 2 16 11 15 12 6 1 4 7 9 14 10 13 3 8

779             2             0             +             -             -             -             -             5 3 16 10 14 12 7 1 4 6 9 15 11 13 2 8

818             2             0             +             -             -             -             -             6 1 15 12 16 11 5 2 3 8 10 13 9 14 4 7

844             2             0             +             -             -             -             -             6 4 15 9 13 11 8 2 3 5 10 16 12 14 1 7

112             3             0             +             -             -             -             -             1 8 12 13 14 11 7 2 15 10 6 3 4 5 9 16

113             3             0             +             -             -             -             -             1 8 12 13 15 10 6 3 14 11 7 2 4 5 9 16

120             3             1             -             +             -             -             -             1 8 14 11 12 13 7 2 15 10 4 5 6 3 9 16

122             3             1             -             +             -             -             -             1 8 14 11 15 10 4 5 12 13 7 2 6 3 9 16

124             3             1             -             +             -             -             -             1 8 15 10 12 13 6 3 14 11 4 5 7 2 9 16

126             3             1             -             +             -             -             -             1 8 15 10 14 11 4 5 12 13 6 3 7 2 9 16

175             3             5             -             -             +             -             -             1 12 8 13 14 7 11 2 15 6 10 3 4 9 5 16

176             3             5             -             -             +             -             -             1 12 8 13 15 6 10 3 14 7 11 2 4 9 5 16

183             3             8             -             -             +             -             -             1 12 14 7 15 6 4 9 8 13 11 2 10 3 5 16

185             3             7             -             -             +             -             -             1 12 15 6 14 7 4 9 8 13 10 3 11 2 5 16

203             3             7             -             -             +             -             -             1 14 8 11 15 4 10 5 12 7 13 2 6 9 3 16

206             3             8             -             -             +             -             -             1 14 12 7 15 4 6 9 8 11 13 2 10 5 3 16

289             3             0             +             -             -             -             -             2 7 11 14 13 12 8 1 16 9 5 4 3 6 10 15

290             3             0             +             -             -             -             -             2 7 11 14 16 9 5 4 13 12 8 1 3 6 10 15

297             3             3             -             +             -             -             -             2 7 13 12 11 14 8 1 16 9 3 6 5 4 10 15

299             3             3             -             +             -             -             -             2 7 13 12 16 9 3 6 11 14 8 1 5 4 10 15

306             3             2             -             +             -             -             -             2 7 16 9 11 14 5 4 13 12 3 6 8 1 10 15

308             3             2             -             +             -             -             -             2 7 16 9 13 12 3 6 11 14 5 4 8 1 10 15

360             3             5             -             -             +             -             -             2 11 7 14 13 8 12 1 16 5 9 4 3 10 6 15

361             3             5             -             -             +             -             -             2 11 7 14 16 5 9 4 13 8 12 1 3 10 6 15

368             3           12             -             -             +             -             -             2 11 13 8 16 5 3 10 7 14 12 1 9 4 6 15

377             3             7             -             -             +             -             -             2 11 16 5 13 8 3 10 7 14 9 4 12 1 6 15

392             3             7             -             -             +             -             -             2 13 7 12 16 3 9 6 11 8 14 1 5 10 4 15

395             3           12             -             -             +             -             -             2 13 11 8 16 3 5 10 7 12 14 1 9 6 4 15

476             3             5             -             +             -             -             -             3 6 13 12 10 15 8 1 16 9 2 7 5 4 11 14

478             3             5             -             +             -             -             -             3 6 13 12 16 9 2 7 10 15 8 1 5 4 11 14

487             3             3             -             +             -             -             -             3 6 16 9 10 15 5 4 13 12 2 7 8 1 11 14

489             3             3             -             +             -             -             -             3 6 16 9 13 12 2 7 10 15 5 4 8 1 11 14

535             3           13             -             -             +             -             -             3 10 13 8 16 5 2 11 6 15 12 1 9 4 7 14

539             3             8             -             -             +             -             -             3 10 16 5 13 8 2 11 6 15 9 4 12 1 7 14

558             3             8             -             -             +             -             -             3 13 6 12 16 2 9 7 10 8 15 1 5 11 4 14

562             3           13             -             -             +             -             -             3 13 10 8 16 2 5 11 6 12 15 1 9 7 4 14

628             3             6             -             +             -             -             -             4 5 14 11 9 16 7 2 15 10 1 8 6 3 12 13

632             3             6             -             +             -             -             -             4 5 14 11 15 10 1 8 9 16 7 2 6 3 12 13

635             3             5             -             +             -             -             -             4 5 15 10 9 16 6 3 14 11 1 8 7 2 12 13

637             3             5             -             +             -             -             -             4 5 15 10 14 11 1 8 9 16 6 3 7 2 12 13

695             3           11             -             -             +             -             -             4 9 14 7 15 6 1 12 5 16 11 2 10 3 8 13

698             3           10             -             -             +             -             -             4 9 15 6 14 7 1 12 5 16 10 3 11 2 8 13

741             3           10             -             -             +             -             -             4 14 5 11 15 1 10 8 9 7 16 2 6 12 3 13

746             3           11             -             -             +             -             -             4 14 9 7 15 1 6 12 5 11 16 2 10 8 3 13

789             3             7             -             -             +             -             -             5 4 16 9 10 15 3 6 11 14 2 7 8 1 13 12

790             3             7             -             -             +             -             -             5 4 16 9 11 14 2 7 10 15 3 6 8 1 13 12

803             3           15             -             -             +             -             -             5 10 11 8 16 3 2 13 4 15 14 1 9 6 7 12

808             3           15             -             -             +             -             -             5 11 10 8 16 2 3 13 4 14 15 1 9 7 6 12

834             3             5             -             -             +             -             -             6 3 15 10 9 16 4 5 12 13 1 8 7 2 14 11

835             3             5             -             -             +             -             -             6 3 15 10 12 13 1 8 9 16 4 5 7 2 14 11

850             3           13             -             -             +             -             -             6 9 12 7 15 4 1 14 3 16 13 2 10 5 8 11

860             3           13             -             -             +             -             -             6 12 9 7 15 1 4 14 3 13 16 2 10 8 5 11

24               4             1             -             +             -             -             -             1 4 14 15 16 13 3 2 7 6 12 9 10 11 5 8

25               4             0             +             -             -             -             -             1 4 14 15 16 13 3 2 11 10 8 5 6 7 9 12

30               4             1             -             +             -             -             -             1 4 15 14 16 13 2 3 6 7 12 9 11 10 5 8

31               4             1             -             +             -             -             -             1 4 15 14 16 13 2 3 10 11 8 5 7 6 9 12

60               4             3             -             +             -             -             -             1 6 12 15 16 11 5 2 7 4 14 9 10 13 3 8

61               4             0             +             -             -             -             -             1 6 12 15 16 11 5 2 13 10 8 3 4 7 9 14

64               4             3             -             +             -             -             -             1 6 15 12 16 11 2 5 4 7 14 9 13 10 3 8

65               4             3             -             +             -             -             -             1 6 15 12 16 11 2 5 10 13 8 3 7 4 9 14

84               4             2             -             +             -             -             -             1 7 12 14 16 10 5 3 6 4 15 9 11 13 2 8

85               4             0             +             -             -             -             -             1 7 12 14 16 10 5 3 13 11 8 2 4 6 9 15

92               4             2             -             +             -             -             -             1 7 14 12 16 10 3 5 4 6 15 9 13 11 2 8

93               4             2             -             +             -             -             -             1 7 14 12 16 10 3 5 11 13 8 2 6 4 9 15

140             4             7             -             -             +             -             -             1 10 8 15 16 7 9 2 11 4 14 5 6 13 3 12

141             4             5             -             -             +             -             -             1 10 8 15 16 7 9 2 13 6 12 3 4 11 5 14

146             4             9             -             -             +             -             -             1 10 15 8 16 7 2 9 4 11 14 5 13 6 3 12

147             4             9             -             -             +             -             -             1 10 15 8 16 7 2 9 6 13 12 3 11 4 5 14

159             4             8             -             -             +             -             -             1 11 8 14 16 6 9 3 10 4 15 5 7 13 2 12

160             4             5             -             -             +             -             -             1 11 8 14 16 6 9 3 13 7 12 2 4 10 5 15

162             4             9             -             -             +             -             -             1 11 14 8 16 6 3 9 4 10 15 5 13 7 2 12

163             4             9             -             -             +             -             -             1 11 14 8 16 6 3 9 7 13 12 2 10 4 5 15

191             4             8             -             -             +             -             -             1 13 8 12 16 4 9 5 10 6 15 3 7 11 2 14

192             4             7             -             -             +             -             -             1 13 8 12 16 4 9 5 11 7 14 2 6 10 3 15

195             4             9             -             -             +             -             -             1 13 12 8 16 4 5 9 6 10 15 3 11 7 2 14

196             4             9             -             -             +             -             -             1 13 12 8 16 4 5 9 7 11 14 2 10 6 3 15

216             4             3             -             +             -             -             -             2 3 13 16 15 14 4 1 8 5 11 10 9 12 6 7

217             4             0             +             -             -             -             -             2 3 13 16 15 14 4 1 12 9 7 6 5 8 10 11

236             4             3             -             +             -             -             -             2 3 16 13 15 14 1 4 5 8 11 10 12 9 6 7

237             4             3             -             +             -             -             -             2 3 16 13 15 14 1 4 9 12 7 6 8 5 10 11

250             4             5             -             +             -             -             -             2 5 11 16 15 12 6 1 8 3 13 10 9 14 4 7

251             4             0             +             -             -             -             -             2 5 11 16 15 12 6 1 14 9 7 4 3 8 10 13

273             4             5             -             +             -             -             -             2 5 16 11 15 12 1 6 3 8 13 10 14 9 4 7

274             4             5             -             +             -             -             -             2 5 16 11 15 12 1 6 9 14 7 4 8 3 10 13

321             4             2             -             +             -             -             -             2 8 11 13 15 9 6 4 5 3 16 10 12 14 1 7

322             4             0             +             -             -             -             -             2 8 11 13 15 9 6 4 14 12 7 1 3 5 10 16

325             4             2             -             +             -             -             -             2 8 13 11 15 9 4 6 3 5 16 10 14 12 1 7

326             4             2             -             +             -             -             -             2 8 13 11 15 9 4 6 12 14 7 1 5 3 10 16

333             4             7             -             -             +             -             -             2 9 7 16 15 8 10 1 12 3 13 6 5 14 4 11

334             4             5             -             -             +             -             -             2 9 7 16 15 8 10 1 14 5 11 4 3 12 6 13

350             4             9             -             -             +             -             -             2 9 16 7 15 8 1 10 3 12 13 6 14 5 4 11

351             4             9             -             -             +             -             -             2 9 16 7 15 8 1 10 5 14 11 4 12 3 6 13

384             4           10             -             -             +             -             -             2 12 7 13 15 5 10 4 9 3 16 6 8 14 1 11

385             4             5             -             -             +             -             -             2 12 7 13 15 5 10 4 14 8 11 1 3 9 6 16

386             4             9             -             -             +             -             -             2 12 13 7 15 5 4 10 3 9 16 6 14 8 1 11

387             4           11             -             -             +             -             -             2 12 13 7 15 5 4 10 8 14 11 1 9 3 6 16

399             4           10             -             -             +             -             -             2 14 7 11 15 3 10 6 9 5 16 4 8 12 1 13

400             4             7             -             -             +             -             -             2 14 7 11 15 3 10 6 12 8 13 1 5 9 4 16

401             4             9             -             -             +             -             -             2 14 11 7 15 3 6 10 5 9 16 4 12 8 1 13

402             4           11             -             -             +             -             -             2 14 11 7 15 3 6 10 8 12 13 1 9 5 4 16

419             4             3             -             +             -             -             -             3 2 13 16 14 15 4 1 8 5 10 11 9 12 7 6

420             4             0             +             -             -             -             -             3 2 13 16 14 15 4 1 12 9 6 7 5 8 11 10

443             4             3             -             +             -             -             -             3 2 16 13 14 15 1 4 5 8 10 11 12 9 7 6

444             4             3             -             +             -             -             -             3 2 16 13 14 15 1 4 9 12 6 7 8 5 11 10

451             4             6             -             +             -             -             -             3 5 10 16 14 12 7 1 8 2 13 11 9 15 4 6

466             4             6             -             +             -             -             -             3 5 16 10 14 12 1 7 2 8 13 11 15 9 4 6

467             4             5             -             +             -             -             -             3 5 16 10 14 12 1 7 9 15 6 4 8 2 11 13

504             4             3             -             +             -             -             -             3 8 10 13 14 9 7 4 5 2 16 11 12 15 1 6

507             4             3             -             +             -             -             -             3 8 13 10 14 9 4 7 2 5 16 11 15 12 1 6

508             4             2             -             +             -             -             -             3 8 13 10 14 9 4 7 12 15 6 1 5 2 11 16

515             4             8             -             -             +             -             -             3 9 6 16 14 8 11 1 12 2 13 7 5 15 4 10

527             4             9             -             -             +             -             -             3 9 16 6 14 8 1 11 2 12 13 7 15 5 4 10

528             4             9             -             -             +             -             -             3 9 16 6 14 8 1 11 5 15 10 4 12 2 7 13

548             4           11             -             -             +             -             -             3 12 6 13 14 5 11 4 9 2 16 7 8 15 1 10

549             4             9             -             -             +             -             -             3 12 13 6 14 5 4 11 2 9 16 7 15 8 1 10

550             4           11             -             -             +             -             -             3 12 13 6 14 5 4 11 8 15 10 1 9 2 7 16

566             4             9             -             -             +             -             -             3 14 5 12 15 2 9 8 10 7 16 1 6 11 4 13

569             4           11             -             -             +             -             -             3 14 8 9 15 2 12 5 10 7 13 4 6 11 1 16

570             4           11             -             -             +             -             -             3 14 9 8 15 2 5 12 6 11 16 1 10 7 4 13

572             4             8             -             -             +             -             -             3 14 12 5 15 2 8 9 6 11 13 4 10 7 1 16

581             4             1             -             +             -             -             -             4 1 14 15 13 16 3 2 7 6 9 12 10 11 8 5

582             4             0             +             -             -             -             -             4 1 14 15 13 16 3 2 11 10 5 8 6 7 12 9

589             4             1             -             +             -             -             -             4 1 15 14 13 16 2 3 6 7 9 12 11 10 8 5

590             4             1             -             +             -             -             -             4 1 15 14 13 16 2 3 10 11 5 8 7 6 12 9

649             4             6             -             +             -             -             -             4 6 9 15 13 11 8 2 7 1 14 12 10 16 3 5

663             4             6             -             +             -             -             -             4 6 15 9 13 11 2 8 1 7 14 12 16 10 3 5

664             4             3             -             +             -             -             -             4 6 15 9 13 11 2 8 10 16 5 3 7 1 12 14

669             4             5             -             +             -             -             -             4 7 9 14 13 10 8 3 6 1 15 12 11 16 2 5

681             4             5             -             +             -             -             -             4 7 14 9 13 10 3 8 1 6 15 12 16 11 2 5

682             4             2             -             +             -             -             -             4 7 14 9 13 10 3 8 11 16 5 2 6 1 12 15

705             4           12             -             -             +             -             -             4 10 5 15 13 7 12 2 11 1 14 8 6 16 3 9

712             4           11             -             -             +             -             -             4 10 15 5 13 7 2 12 1 11 14 8 16 6 3 9

713             4             9             -             -             +             -             -             4 10 15 5 13 7 2 12 6 16 9 3 11 1 8 14

715             4           13             -             -             +             -             -             4 11 5 14 13 6 12 3 10 1 15 8 7 16 2 9

722             4           11             -             -             +             -             -             4 11 14 5 13 6 3 12 1 10 15 8 16 7 2 9

723             4             9             -             -             +             -             -             4 11 14 5 13 6 3 12 7 16 9 2 10 1 8 15

730             4             9             -             -             +             -             -             4 13 6 11 16 1 10 7 9 8 15 2 5 12 3 14

731             4             9             -             -             +             -             -             4 13 7 10 16 1 11 6 9 8 14 3 5 12 2 15

734             4           13             -             -             +             -             -             4 13 10 7 16 1 6 11 5 12 15 2 9 8 3 14

735             4           12             -             -             +             -             -             4 13 11 6 16 1 7 10 5 12 14 3 9 8 2 15

766             4             7             -             -             +             -             -             5 2 16 11 12 15 1 6 9 14 4 7 8 3 13 10

778             4             7             -             -             +             -             -             5 3 16 10 12 14 1 7 9 15 4 6 8 2 13 11

809             4           13             -             -             +             -             -             5 12 9 8 14 3 2 15 4 13 16 1 11 6 7 10

810             4           13             -             -             +             -             -             5 12 9 8 15 2 3 14 4 13 16 1 10 7 6 11

817             4             5             -             -             +             -             -             6 1 15 12 11 16 2 5 10 13 3 8 7 4 14 9

843             4             5             -             -             +             -             -             6 4 15 9 11 13 2 8 10 16 3 5 7 1 14 12

854             4           15             -             -             +             -             -             6 11 10 7 13 4 1 16 3 14 15 2 12 5 8 9

855             4           15             -             -             +             -             -             6 11 10 7 16 1 4 13 3 14 15 2 9 8 5 12

32               5             1             -             +             -             -             -             1 4 16 13 14 15 3 2 7 6 10 11 12 9 5 8

33               5             0             +             -             -             -             -             1 4 16 13 14 15 3 2 11 10 6 7 8 5 9 12

34               5             1             -             +             -             -             -             1 4 16 13 15 14 2 3 6 7 11 10 12 9 5 8

35               5             1             -             +             -             -             -             1 4 16 13 15 14 2 3 10 11 7 6 8 5 9 12

66               5             3             -             +             -             -             -             1 6 16 11 12 15 5 2 7 4 10 13 14 9 3 8

67               5             1             -             +             -             -             -             1 6 16 11 12 15 5 2 13 10 4 7 8 3 9 14

68               5             3             -             +             -             -             -             1 6 16 11 15 12 2 5 4 7 13 10 14 9 3 8

69               5             3             -             +             -             -             -             1 6 16 11 15 12 2 5 10 13 7 4 8 3 9 14

95               5             2             -             +             -             -             -             1 7 16 10 12 14 5 3 6 4 11 13 15 9 2 8

96               5             1             -             +             -             -             -             1 7 16 10 12 14 5 3 13 11 4 6 8 2 9 15

97               5             2             -             +             -             -             -             1 7 16 10 14 12 3 5 4 6 13 11 15 9 2 8

98               5             2             -             +             -             -             -             1 7 16 10 14 12 3 5 11 13 6 4 8 2 9 15

101             5             1             -             +             -             -             -             1 8 10 15 11 14 4 5 16 9 7 2 6 3 13 12

103             5             0             +             -             -             -             -             1 8 10 15 13 12 6 3 16 9 7 2 4 5 11 14

106             5             1             -             +             -             -             -             1 8 11 14 10 15 4 5 16 9 6 3 7 2 13 12

108             5             0             +             -             -             -             -             1 8 11 14 13 12 7 2 16 9 6 3 4 5 10 15

114             5             1             -             +             -             -             -             1 8 13 12 10 15 6 3 16 9 4 5 7 2 11 14

115             5             1             -             +             -             -             -             1 8 13 12 11 14 7 2 16 9 4 5 6 3 10 15

148             5             8             -             -             +             -             -             1 10 16 7 15 8 2 9 4 11 13 6 14 5 3 12

149             5             8             -             -             +             -             -             1 10 16 7 15 8 2 9 6 13 11 4 12 3 5 14

164             5             7             -             -             +             -             -             1 11 16 6 14 8 3 9 4 10 13 7 15 5 2 12

165             5             7             -             -             +             -             -             1 11 16 6 14 8 3 9 7 13 10 4 12 2 5 15

169             5             5             -             -             +             -             -             1 12 6 15 13 8 10 3 16 5 11 2 4 9 7 14

173             5             5             -             -             +             -             -             1 12 7 14 13 8 11 2 16 5 10 3 4 9 6 15

228             5             3             -             +             -             -             -             2 3 15 14 13 16 4 1 8 5 9 12 11 10 6 7

229             5             0             +             -             -             -             -             2 3 15 14 13 16 4 1 12 9 5 8 7 6 10 11

230             5             3             -             +             -             -             -             2 3 15 14 16 13 1 4 5 8 12 9 11 10 6 7

231             5             3             -             +             -             -             -             2 3 15 14 16 13 1 4 9 12 8 5 7 6 10 11

264             5             5             -             +             -             -             -             2 5 15 12 11 16 6 1 8 3 9 14 13 10 4 7

265             5             3             -             +             -             -             -             2 5 15 12 11 16 6 1 14 9 3 8 7 4 10 13

266             5             5             -             +             -             -             -             2 5 15 12 16 11 1 6 3 8 14 9 13 10 4 7

267             5             5             -             +             -             -             -             2 5 15 12 16 11 1 6 9 14 8 3 7 4 10 13

280             5             3             -             +             -             -             -             2 7 9 16 12 13 3 6 15 10 8 1 5 4 14 11

282             5             0             +             -             -             -             -             2 7 9 16 14 11 5 4 15 10 8 1 3 6 12 13

291             5             2             -             +             -             -             -             2 7 12 13 9 16 3 6 15 10 5 4 8 1 14 11

293             5             0             +             -             -             -             -             2 7 12 13 14 11 8 1 15 10 5 4 3 6 9 16

301             5             2             -             +             -             -             -             2 7 14 11 9 16 5 4 15 10 3 6 8 1 12 13

302             5             3             -             +             -             -             -             2 7 14 11 12 13 8 1 15 10 3 6 5 4 9 16

328             5             2             -             +             -             -             -             2 8 15 9 11 13 6 4 5 3 12 14 16 10 1 7

329             5             2             -             +             -             -             -             2 8 15 9 11 13 6 4 14 12 3 5 7 1 10 16

330             5             2             -             +             -             -             -             2 8 15 9 13 11 4 6 3 5 14 12 16 10 1 7

331             5             1             -             +             -             -             -             2 8 15 9 13 11 4 6 12 14 5 3 7 1 10 16

344             5           10             -             -             +             -             -             2 9 15 8 16 7 1 10 3 12 14 5 13 6 4 11

345             5           10             -             -             +             -             -             2 9 15 8 16 7 1 10 5 14 12 3 11 4 6 13

356             5             5             -             -             +             -             -             2 11 5 16 14 7 9 4 15 6 12 1 3 10 8 13

362             5             5             -             -             +             -             -             2 11 8 13 14 7 12 1 15 6 9 4 3 10 5 16

388             5             7             -             -             +             -             -             2 12 15 5 13 7 4 10 3 9 14 8 16 6 1 11

389             5             7             -             -             +             -             -             2 12 15 5 13 7 4 10 8 14 9 3 11 1 6 16

423             5             3             -             +             -             -             -             3 2 14 15 13 16 4 1 8 5 9 12 10 11 7 6

424             5             0             +             -             -             -             -             3 2 14 15 13 16 4 1 12 9 5 8 6 7 11 10

425             5             3             -             +             -             -             -             3 2 14 15 16 13 1 4 5 8 12 9 10 11 7 6

426             5             3             -             +             -             -             -             3 2 14 15 16 13 1 4 9 12 8 5 6 7 11 10

460             5             6             -             +             -             -             -             3 5 14 12 10 16 7 1 8 2 9 15 13 11 4 6

461             5             5             -             +             -             -             -             3 5 14 12 10 16 7 1 15 9 2 8 6 4 11 13

462             5             6             -             +             -             -             -             3 5 14 12 16 10 1 7 2 8 15 9 13 11 4 6

463             5             6             -             +             -             -             -             3 5 14 12 16 10 1 7 9 15 8 2 6 4 11 13

468             5             5             -             +             -             -             -             3 6 9 16 12 13 2 7 14 11 8 1 5 4 15 10

471             5             3             -             +             -             -             -             3 6 12 13 9 16 2 7 14 11 5 4 8 1 15 10

479             5             3             -             +             -             -             -             3 6 15 10 9 16 5 4 14 11 2 7 8 1 12 13

481             5             5             -             +             -             -             -             3 6 15 10 12 13 8 1 14 11 2 7 5 4 9 16

511             5             3             -             +             -             -             -             3 8 14 9 10 13 7 4 5 2 12 15 16 11 1 6

512             5             3             -             +             -             -             -             3 8 14 9 10 13 7 4 15 12 2 5 6 1 11 16

513             5             3             -             +             -             -             -             3 8 14 9 13 10 4 7 2 5 15 12 16 11 1 6

514             5             1             -             +             -             -             -             3 8 14 9 13 10 4 7 12 15 5 2 6 1 11 16

523             5           11             -             -             +             -             -             3 9 14 8 16 6 1 11 2 12 15 5 13 7 4 10

524             5           11             -             -             +             -             -             3 9 14 8 16 6 1 11 5 15 12 2 10 4 7 13

553             5             8             -             -             +             -             -             3 12 14 5 13 6 4 11 2 9 15 8 16 7 1 10

554             5             8             -             -             +             -             -             3 12 14 5 13 6 4 11 8 15 9 2 10 1 7 16

575             5             1             -             +             -             -             -             4 1 13 16 14 15 3 2 7 6 10 11 9 12 8 5

576             5             0             +             -             -             -             -             4 1 13 16 14 15 3 2 11 10 6 7 5 8 12 9

577             5             1             -             +             -             -             -             4 1 13 16 15 14 2 3 6 7 11 10 9 12 8 5

578             5             1             -             +             -             -             -             4 1 13 16 15 14 2 3 10 11 7 6 5 8 12 9

620             5             6             -             +             -             -             -             4 5 10 15 11 14 1 8 13 12 7 2 6 3 16 9

622             5             5             -             +             -             -             -             4 5 11 14 10 15 1 8 13 12 6 3 7 2 16 9

640             5             5             -             +             -             -             -             4 5 16 9 10 15 6 3 13 12 1 8 7 2 11 14

642             5             6             -             +             -             -             -             4 5 16 9 11 14 7 2 13 12 1 8 6 3 10 15

657             5             6             -             +             -             -             -             4 6 13 11 9 15 8 2 7 1 10 16 14 12 3 5

658             5             6             -             +             -             -             -             4 6 13 11 9 15 8 2 16 10 1 7 5 3 12 14

659             5             6             -             +             -             -             -             4 6 13 11 15 9 2 8 1 7 16 10 14 12 3 5

660             5             5             -             +             -             -             -             4 6 13 11 15 9 2 8 10 16 7 1 5 3 12 14

674             5             5             -             +             -             -             -             4 7 13 10 9 14 8 3 6 1 11 16 15 12 2 5

675             5             5             -             +             -             -             -             4 7 13 10 9 14 8 3 16 11 1 6 5 2 12 15

676             5             5             -             +             -             -             -             4 7 13 10 14 9 3 8 1 6 16 11 15 12 2 5

677             5             3             -             +             -             -             -             4 7 13 10 14 9 3 8 11 16 6 1 5 2 12 15

709             5           13             -             -             +             -             -             4 10 13 7 15 5 2 12 1 11 16 6 14 8 3 9

710             5           13             -             -             +             -             -             4 10 13 7 15 5 2 12 6 16 11 1 9 3 8 14

720             5           12             -             -             +             -             -             4 11 13 6 14 5 3 12 1 10 16 7 15 8 2 9

721             5           12             -             -             +             -             -             4 11 13 6 14 5 3 12 7 16 10 1 9 2 8 15

784             5             7             -             -             +             -             -             5 4 14 11 9 16 2 7 12 13 3 6 8 1 15 10

787             5             7             -             -             +             -             -             5 4 15 10 9 16 3 6 12 13 2 7 8 1 14 11

797             5           13             -             -             +             -             -             5 9 12 8 16 4 1 13 2 14 15 3 11 7 6 10

798             5           13             -             -             +             -             -             5 9 12 8 16 4 1 13 3 15 14 2 10 6 7 11

827             5             5             -             -             +             -             -             6 3 13 12 10 15 1 8 11 14 4 5 7 2 16 9

838             5             5             -             -             +             -             -             6 3 16 9 10 15 4 5 11 14 1 8 7 2 13 12

852             5           15             -             -             +             -             -             6 10 11 7 15 3 2 14 1 13 16 4 12 8 5 9

853             5           15             -             -             +             -             -             6 10 11 7 15 3 2 14 4 16 13 1 9 5 8 12

16               6             4             -             -             -             +             -             1 4 13 16 14 15 2 3 8 5 12 9 11 10 7 6

17               6             1             -             +             -             -             -             1 4 13 16 14 15 2 3 12 9 8 5 7 6 11 10

18               6             3             -             +             -             -             -             1 4 13 16 15 14 3 2 8 5 12 9 10 11 6 7

19               6             0             +             -             -             -             -             1 4 13 16 15 14 3 2 12 9 8 5 6 7 10 11

48               6             8             -             -             -             +             -             1 6 11 16 12 15 2 5 8 3 14 9 13 10 7 4

49               6             3             -             +             -             -             -             1 6 11 16 12 15 2 5 14 9 8 3 7 4 13 10

54               6             5             -             +             -             -             -             1 6 11 16 15 12 5 2 8 3 14 9 10 13 4 7

55               6             0             +             -             -             -             -             1 6 11 16 15 12 5 2 14 9 8 3 4 7 10 13

73               6             8             -             -             -             +             -             1 7 10 16 12 14 3 5 8 2 15 9 13 11 6 4

74               6             2             -             +             -             -             -             1 7 10 16 12 14 3 5 15 9 8 2 6 4 13 11

76               6             6             -             +             -             -             -             1 7 10 16 14 12 5 3 8 2 15 9 11 13 4 6

77               6             0             +             -             -             -             -             1 7 10 16 14 12 5 3 15 9 8 2 4 6 11 13

110             6             8             -             -             -             +             -             1 8 12 13 10 15 3 6 7 2 14 11 16 9 5 4

111             6             8             -             -             -             +             -             1 8 12 13 11 14 2 7 6 3 15 10 16 9 5 4

119             6             5             -             +             -             -             -             1 8 14 11 10 15 5 4 7 2 12 13 16 9 3 6

121             6             5             -             +             -             -             -             1 8 14 11 13 12 2 7 4 5 15 10 16 9 3 6

123             6             3             -             +             -             -             -             1 8 15 10 11 14 5 4 6 3 12 13 16 9 2 7

125             6             3             -             +             -             -             -             1 8 15 10 13 12 3 6 4 5 14 11 16 9 2 7

136             6             7             -             -             +             -             -             1 10 7 16 15 8 9 2 12 3 14 5 6 13 4 11

137             6             5             -             -             +             -             -             1 10 7 16 15 8 9 2 14 5 12 3 4 11 6 13

154             6             8             -             -             +             -             -             1 11 6 16 14 8 9 3 12 2 15 5 7 13 4 10

155             6             5             -             -             +             -             -             1 11 6 16 14 8 9 3 15 5 12 2 4 10 7 13

182             6             8             -             -             +             -             -             1 12 14 7 13 8 2 11 4 9 15 6 16 5 3 10

184             6             7             -             -             +             -             -             1 12 15 6 13 8 3 10 4 9 14 7 16 5 2 11

224             6             4             -             -             -             +             -             2 3 14 15 13 16 1 4 7 6 11 10 12 9 8 5

225             6             3             -             +             -             -             -             2 3 14 15 13 16 1 4 11 10 7 6 8 5 12 9

226             6             1             -             +             -             -             -             2 3 14 15 16 13 4 1 7 6 11 10 9 12 5 8

227             6             0             +             -             -             -             -             2 3 14 15 16 13 4 1 11 10 7 6 5 8 9 12

255             6             8             -             -             -             +             -             2 5 12 15 11 16 1 6 7 4 13 10 14 9 8 3

256             6             5             -             +             -             -             -             2 5 12 15 11 16 1 6 13 10 7 4 8 3 14 9

261             6             3             -             +             -             -             -             2 5 12 15 16 11 6 1 7 4 13 10 9 14 3 8

262             6             0             +             -             -             -             -             2 5 12 15 16 11 6 1 13 10 7 4 3 8 9 14

287             6             8             -             -             -             +             -             2 7 11 14 9 16 4 5 8 1 13 12 15 10 6 3

288             6             8             -             -             -             +             -             2 7 11 14 12 13 1 8 5 4 16 9 15 10 6 3

296             6             7             -             +             -             -             -             2 7 13 12 9 16 6 3 8 1 11 14 15 10 4 5

298             6             7             -             +             -             -             -             2 7 13 12 14 11 1 8 3 6 16 9 15 10 4 5

307             6             1             -             +             -             -             -             2 7 16 9 12 13 6 3 5 4 11 14 15 10 1 8

309             6             1             -             +             -             -             -             2 7 16 9 14 11 4 5 3 6 13 12 15 10 1 8

310             6             8             -             -             -             +             -             2 8 9 15 11 13 4 6 7 1 16 10 14 12 5 3

311             6             2             -             +             -             -             -             2 8 9 15 11 13 4 6 16 10 7 1 5 3 14 12

312             6             6             -             +             -             -             -             2 8 9 15 13 11 6 4 7 1 16 10 12 14 3 5

313             6             0             +             -             -             -             -             2 8 9 15 13 11 6 4 16 10 7 1 3 5 12 14

341             6             7             -             -             +             -             -             2 9 8 15 16 7 10 1 11 4 13 6 5 14 3 12

342             6             5             -             -             +             -             -             2 9 8 15 16 7 10 1 13 6 11 4 3 12 5 14

367             6             12             -             -             +             -             -             2 11 13 8 14 7 1 12 3 10 16 5 15 6 4 9

378             6             7             -             -             +             -             -             2 11 16 5 14 7 4 9 3 10 13 8 15 6 1 12

379             6             12             -             -             +             -             -             2 12 5 15 13 7 10 4 11 1 16 6 8 14 3 9

380             6             5             -             -             +             -             -             2 12 5 15 13 7 10 4 16 6 11 1 3 9 8 14

432             6             3             -             +             -             -             -             3 2 15 14 13 16 1 4 6 7 10 11 12 9 8 5

433             6             3             -             +             -             -             -             3 2 15 14 13 16 1 4 10 11 6 7 8 5 12 9

435             6             0             +             -             -             -             -             3 2 15 14 16 13 4 1 6 7 10 11 9 12 5 8

436             6             0             +             -             -             -             -             3 2 15 14 16 13 4 1 10 11 6 7 5 8 9 12

456             6             5             -             +             -             -             -             3 5 12 14 10 16 1 7 13 11 6 4 8 2 15 9

459             6             2             -             +             -             -             -             3 5 12 14 16 10 7 1 6 4 13 11 9 15 2 8

475             6             7             -             +             -             -             -             3 6 13 12 9 16 7 2 8 1 10 15 14 11 4 5

477             6             7             -             +             -             -             -             3 6 13 12 15 10 1 8 2 7 16 9 14 11 4 5

488             6             1             -             +             -             -             -             3 6 16 9 12 13 7 2 5 4 10 15 14 11 1 8

490             6             1             -             +             -             -             -             3 6 16 9 15 10 4 5 2 7 13 12 14 11 1 8

498             6             2             -             +             -             -             -             3 8 9 14 10 13 4 7 16 11 6 1 5 2 15 12

499             6             5             -             +             -             -             -             3 8 9 14 13 10 7 4 6 1 16 11 12 15 2 5

521             6             8             -             -             +             -             -             3 9 8 14 16 6 11 1 10 4 13 7 5 15 2 12

534             6           13             -             -             +             -             -             3 10 13 8 15 6 1 12 2 11 16 5 14 7 4 9

540             6             8             -             -             +             -             -             3 10 16 5 15 6 4 9 2 11 13 8 14 7 1 12

543             6           13             -             -             +             -             -             3 12 5 14 13 6 11 4 10 1 16 7 8 15 2 9

599             6             1             -             +             -             -             -             4 1 16 13 14 15 2 3 5 8 9 12 11 10 7 6

600             6             1             -             +             -             -             -             4 1 16 13 14 15 2 3 9 12 5 8 7 6 11 10

603             6             0             +             -             -             -             -             4 1 16 13 15 14 3 2 5 8 9 12 10 11 6 7

604             6             0             +             -             -             -             -             4 1 16 13 15 14 3 2 9 12 5 8 6 7 10 11

630             6             5             -             +             -             -             -             4 5 14 11 10 15 8 1 7 2 9 16 13 12 3 6

633             6             5             -             +             -             -             -             4 5 14 11 16 9 2 7 1 8 15 10 13 12 3 6

636             6             3             -             +             -             -             -             4 5 15 10 11 14 8 1 6 3 9 16 13 12 2 7

638             6             3             -             +             -             -             -             4 5 15 10 16 9 3 6 1 8 14 11 13 12 2 7

651             6             3             -             +             -             -             -             4 6 11 13 9 15 2 8 14 12 5 3 7 1 16 10

654             6             2             -             +             -             -             -             4 6 11 13 15 9 8 2 5 3 14 12 10 16 1 7

670             6             2             -             +             -             -             -             4 7 10 13 9 14 3 8 15 12 5 2 6 1 16 11

671             6             3             -             +             -             -             -             4 7 10 13 14 9 8 3 5 2 15 12 11 16 1 6

696             6           11             -             -             +             -             -             4 9 14 7 16 5 2 11 1 12 15 6 13 8 3 10

699             6           10             -             -             +             -             -             4 9 15 6 16 5 3 10 1 12 14 7 13 8 2 11

708             6           10             -             -             +             -             -             4 10 7 13 15 5 12 2 9 3 14 8 6 16 1 11

716             6           11             -             -             +             -             -             4 11 6 13 14 5 12 3 9 2 15 8 7 16 1 10

761             6             7             -             -             +             -             -             5 2 15 12 11 16 1 6 10 13 4 7 8 3 14 9

763             6             0             +             -             -             -             -             5 2 15 12 16 11 6 1 4 7 10 13 9 14 3 8

771             6             7             -             -             +             -             -             5 3 14 12 10 16 1 7 11 13 4 6 8 2 15 9

774             6             0             +             -             -             -             -             5 3 14 12 16 10 7 1 4 6 11 13 9 15 2 8

791             6             0             +             -             -             -             -             5 4 16 9 14 11 7 2 3 6 10 15 12 13 1 8

792             6             0             +             -             -             -             -             5 4 16 9 15 10 6 3 2 7 11 14 12 13 1 8

802             6           15             -             -             +             -             -             5 10 11 8 15 4 1 14 2 13 16 3 12 7 6 9

806             6           15             -             -             +             -             -             5 11 10 8 14 4 1 15 3 13 16 2 12 6 7 9

822             6             5             -             -             +             -             -             6 1 16 11 12 15 2 5 9 14 3 8 7 4 13 10

824             6             0             +             -             -             -             -             6 1 16 11 15 12 5 2 3 8 9 14 10 13 4 7

836             6             0             +             -             -             -             -             6 3 15 10 13 12 8 1 4 5 9 16 11 14 2 7

837             6             0             +             -             -             -             -             6 3 15 10 16 9 5 4 1 8 12 13 11 14 2 7

840             6             5             -             -             +             -             -             6 4 13 11 9 15 2 8 12 14 3 5 7 1 16 10

842             6             0             +             -             -             -             -             6 4 13 11 15 9 8 2 3 5 12 14 10 16 1 7

851             6           13             -             -             +             -             -             6 9 12 7 16 3 2 13 1 14 15 4 11 8 5 10

859             6           13             -             -             +             -             -             6 12 9 7 13 3 2 16 4 14 15 1 11 5 8 10

1                 6             5             -             -             -             +             -             1 2 15 16 12 14 3 5 13 7 10 4 8 11 6 9

2                 6             4             -             -             -             +             -             1 2 15 16 13 14 3 4 12 7 10 5 8 11 6 9

4                 6             8             -             -             -             +             -             1 3 14 16 10 13 4 7 15 6 11 2 8 12 5 9

5                 6             2             -             -             -             +             +             1 3 14 16 12 13 4 5 15 8 9 2 6 10 7 11

6                 6             4             -             +             -             -             -             1 3 14 16 15 13 4 2 10 6 11 7 8 12 5 9

7                 6             1             -             +             -             -             -             1 3 14 16 15 13 4 2 12 8 9 5 6 10 7 11

12               6             12             -             -             -             +             +             1 4 13 16 8 14 3 9 15 5 12 2 10 11 6 7

13               6             12             -             -             -             +             -             1 4 13 16 8 15 2 9 14 5 12 3 11 10 7 6

14               6             2             -             +             -             -             -             1 4 13 16 12 14 3 5 15 9 8 2 6 7 10 11

15               6             3             -             +             -             -             -             1 4 13 16 12 15 2 5 14 9 8 3 7 6 11 10

36               6             8             -             -             -             +             -             1 5 12 16 10 11 6 7 15 4 13 2 8 14 3 9

37               6             1             -             +             -             -             -             1 5 12 16 14 11 6 3 15 8 9 2 4 10 7 13

38               6             6             -             +             -             -             -             1 5 12 16 15 11 6 2 10 4 13 7 8 14 3 9

39               6             1             -             +             -             -             -             1 5 12 16 15 11 6 2 14 8 9 3 4 10 7 13

44               6           13             -             -             -             +             -             1 6 11 16 7 15 2 10 14 4 13 3 12 9 8 5

45               6           13             -             -             -             +             -             1 6 11 16 8 12 5 9 15 3 14 2 10 13 4 7

46               6           14             -             -             -             +             +             1 6 11 16 8 15 2 9 12 3 14 5 13 10 7 4

47               6             7             -             +             -             -             -             1 6 11 16 12 10 7 5 13 3 14 4 8 15 2 9

50               6             7             -             +             -             -             -             1 6 11 16 13 10 7 4 12 3 14 5 8 15 2 9

51               6             0             +             -             -             -             -             1 6 11 16 14 12 5 3 15 9 8 2 4 7 10 13

52               6             4             -             -             -             +             -             1 6 11 16 14 15 2 3 7 4 13 10 12 9 8 5

53               6             1             -             +             -             -             -             1 6 11 16 14 15 2 3 12 9 8 5 7 4 13 10

70               6           14             -             -             -             +             -             1 7 10 16 8 12 5 9 14 2 15 3 11 13 4 6

71               6           15             -             -             -             +             -             1 7 10 16 8 14 3 9 12 2 15 5 13 11 6 4

72               6             5             -             +             -             -             -             1 7 10 16 12 9 8 5 15 4 13 2 6 14 3 11

75               6             3             -             +             -             -             -             1 7 10 16 14 9 8 3 15 6 11 2 4 12 5 13

78               6             5             -             +             -             -             -             1 7 10 16 15 9 8 2 12 4 13 5 6 14 3 11

79               6             3             -             +             -             -             -             1 7 10 16 15 9 8 2 14 6 11 3 4 12 5 13

80               6             0             +             -             -             -             -             1 7 10 16 15 12 5 2 14 9 8 3 4 6 11 13

81               6             0             +             -             -             -             -             1 7 10 16 15 14 3 2 12 9 8 5 6 4 13 11

86               6             14             -             -             -             +             -             1 7 14 12 8 13 2 11 9 4 15 6 16 10 3 5

87               6             8             -             -             -             +             -             1 7 14 12 9 15 4 6 8 2 13 11 16 10 3 5

91               6             8             -             -             -             +             -             1 7 14 12 11 13 2 8 6 4 15 9 16 10 3 5

100             6             5             -             +             -             -             -             1 8 9 16 14 13 4 3 7 2 15 10 12 11 6 5

127             6             3             -             -             -             +             -             1 9 8 16 14 15 2 3 7 4 13 10 12 6 11 5

130             6             7             -             -             +             -             -             1 10 7 16 12 8 9 5 15 3 14 2 6 13 4 11

131             6             1             -             +             -             -             -             1 10 7 16 12 13 4 5 15 8 9 2 6 3 14 11

132             6             6             -             -             -             +             +             1 10 7 16 12 15 2 5 8 3 14 9 13 6 11 4

133             6             5             -             -             +             -             -             1 10 7 16 14 8 9 3 15 5 12 2 4 11 6 13

134             6             0             +             -             -             -             -             1 10 7 16 14 11 6 3 15 8 9 2 4 5 12 13

135             6             1             -             +             -             -             -             1 10 7 16 14 15 2 3 8 5 12 9 11 4 13 6

138             6             0             +             -             -             -             -             1 10 7 16 15 11 6 2 14 8 9 3 4 5 12 13

139             6             0             +             -             -             -             -             1 10 7 16 15 13 4 2 12 8 9 5 6 3 14 11

143             6             1             -             +             -             -             -             1 10 15 8 12 13 6 3 5 4 11 14 16 7 2 9

144             6             1             -             +             -             -             -             1 10 15 8 14 11 4 5 3 6 13 12 16 7 2 9

150             6             8             -             -             +             -             -             1 11 6 16 12 8 9 5 14 2 15 3 7 13 4 10

151             6             7             -             -             -             +             -             1 11 6 16 12 14 3 5 8 2 15 9 13 7 10 4

152             6             2             -             +             -             -             -             1 11 6 16 12 14 3 5 13 7 10 4 8 2 15 9

153             6             1             -             +             -             -             -             1 11 6 16 13 14 3 4 12 7 10 5 8 2 15 9

156             6             5             -             +             -             -             -             1 11 6 16 14 13 4 3 7 2 15 10 12 8 9 5

157             6             5             -             -             +             -             -             1 11 6 16 15 8 9 2 14 5 12 3 4 10 7 13

158             6             0             +             -             -             -             -             1 11 6 16 15 14 3 2 8 5 12 9 10 4 13 7

166             6             1             -             +             -             -             -             1 12 5 16 14 9 8 3 15 6 11 2 4 7 10 13

167             6             1             -             +             -             -             -             1 12 5 16 15 9 8 2 14 6 11 3 4 7 10 13

168             6             0             +             -             -             -             -             1 12 5 16 15 13 4 2 10 6 11 7 8 3 14 9

179             6             3             -             +             -             -             -             1 12 13 8 15 10 3 6 2 7 14 11 16 5 4 9

186             6             3             -             +             -             -             -             1 12 15 6 14 9 4 7 3 8 13 10 16 5 2 11

187             6             8             -             -             +             -             -             1 13 4 16 14 8 9 3 12 2 15 5 7 11 6 10

188             6             5             -             +             -             -             -             1 13 4 16 14 12 5 3 8 2 15 9 11 7 10 6

189             6             7             -             -             +             -             -             1 13 4 16 15 8 9 2 12 3 14 5 6 10 7 11

190             6             3             -             +             -             -             -             1 13 4 16 15 12 5 2 8 3 14 9 10 6 11 7

194             6             3             -             +             -             -             -             1 13 12 8 15 10 3 6 2 7 14 11 16 4 5 9

198             6             3             -             +             -             -             -             1 14 3 16 15 9 8 2 12 4 13 5 6 7 10 11

199             6             1             -             +             -             -             -             1 14 3 16 15 11 6 2 10 4 13 7 8 5 12 9

210             6             3             -             -             -             +             -             2 1 16 15 11 13 4 6 14 8 9 3 7 12 5 10

211             6             1             -             +             -             -             -             2 1 16 15 14 13 4 3 11 8 9 6 7 12 5 10

218             6           11             -             -             -             +             -             2 3 14 15 7 13 4 10 16 6 11 1 9 12 5 8

219             6           12             -             -             -             +             -             2 3 14 15 7 16 1 10 13 6 11 4 12 9 8 5

220             6           13             -             -             -             +             -             2 3 14 15 8 16 1 9 11 5 12 6 13 10 7 4

221             6             2             -             +             -             -             -             2 3 14 15 11 13 4 6 16 10 7 1 5 8 9 12

222             6             8             -             -             -             +             -             2 3 14 15 11 16 1 6 8 5 12 9 13 10 7 4

223             6             5             -             +             -             -             -             2 3 14 15 11 16 1 6 13 10 7 4 8 5 12 9

252             6           11             -             -             -             +             -             2 5 12 15 7 11 6 10 16 4 13 1 9 14 3 8

253             6           14             -             -             -             +             -             2 5 12 15 7 16 1 10 11 4 13 6 14 9 8 3

254             6             5             -             +             -             -             -             2 5 12 15 11 9 8 6 14 4 13 3 7 16 1 10

257             6             0             +             -             -             -             -             2 5 12 15 13 11 6 4 16 10 7 1 3 8 9 14

258             6             3             -             +             -             -             -             2 5 12 15 13 16 1 4 11 10 7 6 8 3 14 9

259             6             5             -             +             -             -             -             2 5 12 15 14 9 8 3 11 4 13 6 7 16 1 10

284             6           14             -             -             -             +             -             2 7 10 15 8 12 5 9 11 1 16 6 13 14 3 4

285             6             8             -             -             -             +             -             2 7 10 15 11 12 5 6 8 1 16 9 13 14 3 4

286             6           15             -             -             -             +             -             2 7 11 14 8 13 1 12 9 4 16 5 15 10 6 3

295             6           13             -             -             -             +             -             2 7 13 12 8 11 1 14 9 6 16 3 15 10 4 5

314             6             0             +             -             -             -             -             2 8 9 15 16 11 6 1 13 10 7 4 3 5 12 14

315             6             0             +             -             -             -             -             2 8 9 15 16 13 4 1 11 10 7 6 5 3 14 12

318             6             6             -             +             -             -             -             2 8 11 13 10 16 5 3 7 1 12 14 15 9 6 4

320             6             6             -             +             -             -             -             2 8 11 13 14 12 1 7 3 5 16 10 15 9 6 4

336             6             7             -             -             +             -             -             2 9 8 15 11 7 10 6 16 4 13 1 5 14 3 12

337             6             6             -             -             -             +             -             2 9 8 15 11 16 1 6 7 4 13 10 14 5 12 3

338             6             5             -             -             +             -             -             2 9 8 15 13 7 10 4 16 6 11 1 3 12 5 14

339             6             3             -             +             -             -             -             2 9 8 15 13 16 1 4 7 6 11 10 12 3 14 5

352             6             5             -             +             -             -             -             2 10 7 15 11 16 1 6 8 5 12 9 13 3 14 4

359             6             7             -             -             -             +             -             2 11 7 14 12 13 1 8 5 4 16 9 15 6 10 3

363             6             6             -             +             -             -             -             2 11 8 13 14 12 1 7 3 5 16 10 15 6 9 4

366             6           12             -             -             +             -             -             2 11 13 8 12 7 1 14 5 10 16 3 15 6 4 9

370             6             1             -             +             -             -             -             2 11 14 7 12 13 8 1 5 4 9 16 15 6 3 10

376             6             1             -             +             -             -             -             2 11 14 7 16 9 4 5 1 8 13 12 15 6 3 10

381             6             0             +             -             -             -             -             2 12 5 15 14 13 4 3 11 8 9 6 7 1 16 10

382             6             5             -             -             +             -             -             2 12 5 15 16 7 10 1 13 6 11 4 3 9 8 14

383             6             0             +             -             -             -             -             2 12 5 15 16 13 4 1 7 6 11 10 9 3 14 8

391             6             6             -             +             -             -             -             2 13 7 12 14 11 1 8 3 6 16 9 15 4 10 5

394             6           12             -             -             +             -             -             2 13 11 8 14 7 1 12 3 10 16 5 15 4 6 9

397             6             7             -             -             +             -             -             2 14 3 15 16 7 10 1 11 4 13 6 5 9 8 12

398             6             1             -             +             -             -             -             2 14 3 15 16 11 6 1 7 4 13 10 9 5 12 8

404             6             1             -             +             -             -             -             2 14 11 7 16 9 4 5 1 8 13 12 15 3 6 10

427             6             9             -             -             -             +             -             3 2 15 14 6 13 4 11 16 7 10 1 9 12 5 8

428             6           11             -             -             -             +             -             3 2 15 14 6 16 1 11 13 7 10 4 12 9 8 5

429             6             2             -             +             -             -             -             3 2 15 14 10 13 4 7 16 11 6 1 5 8 9 12

430             6             5             -             +             -             -             -             3 2 15 14 10 16 1 7 13 11 6 4 8 5 12 9

447             6             7             -             +             -             -             -             3 4 13 14 6 16 1 11 15 9 8 2 10 5 12 7

448             6             1             -             +             -             -             -             3 4 13 14 15 16 1 2 6 9 8 11 10 5 12 7

452             6             9             -             -             -             +             -             3 5 12 14 6 10 7 11 16 4 13 1 9 15 2 8

454             6             7             -             +             -             -             -             3 5 12 14 6 16 1 11 15 9 8 2 10 4 13 7

457             6             3             -             +             -             -             -             3 5 12 14 13 16 1 4 10 11 6 7 8 2 15 9

458             6             1             -             +             -             -             -             3 5 12 14 15 16 1 2 6 9 8 11 10 4 13 7

474             6           11             -             -             -             +             -             3 6 13 12 8 10 1 15 9 7 16 2 14 11 4 5

480             6             7             -             +             -             -             -             3 6 15 10 12 8 1 13 5 9 16 4 14 11 2 7

482             6             7             -             +             -             -             -             3 6 15 10 13 8 1 12 4 9 16 5 14 11 2 7

502             6             0             +             -             -             -             -             3 8 9 14 16 13 4 1 10 11 6 7 5 2 15 12

516             6             8             -             -             +             -             -             3 9 8 14 10 6 11 7 16 4 13 1 5 15 2 12

520             6             3             -             +             -             -             -             3 9 8 14 13 16 1 4 6 7 10 11 12 2 15 5

533             6           13             -             -             +             -             -             3 10 13 8 12 6 1 15 5 11 16 2 14 7 4 9

545             6             5             -             +             -             -             -             3 12 5 14 15 8 9 2 6 1 16 11 10 13 4 7

547             6             0             +             -             -             -             -             3 12 5 14 16 13 4 1 6 7 10 11 9 2 15 8

556             6             5             -             +             -             -             -             3 13 4 14 15 8 9 2 6 1 16 11 10 12 5 7

557             6             5             -             +             -             -             -             3 13 6 12 15 10 1 8 2 7 16 9 14 4 11 5

561             6           13             -             -             +             -             -             3 13 10 8 15 6 1 12 2 11 16 5 14 4 7 9

573             6             8             -             -             +             -             -             3 15 2 14 16 6 11 1 10 4 13 7 5 9 8 12

574             6             1             -             +             -             -             -             3 15 2 14 16 10 7 1 6 4 13 11 9 5 12 8

593             6             7             -             -             -             +             -             4 1 16 13 5 14 3 12 15 8 9 2 10 11 6 7

594             6             8             -             -             -             +             -             4 1 16 13 5 15 2 12 14 8 9 3 11 10 7 6

595             6             8             -             -             -             +             -             4 1 16 13 6 12 5 11 15 7 10 2 9 14 3 8

596             6             2             -             +             -             -             -             4 1 16 13 9 14 3 8 15 12 5 2 6 7 10 11

597             6             3             -             +             -             -             -             4 1 16 13 9 15 2 8 14 12 5 3 7 6 11 10

602             6             0             +             -             -             -             -             4 1 16 13 15 12 5 2 6 7 10 11 9 14 3 8

609             6             7             -             +             -             -             -             4 2 15 13 5 16 1 12 14 9 8 3 11 7 10 6

610             6             5             -             +             -             -             -             4 2 15 13 7 16 1 10 14 11 6 3 9 5 12 8

611             6             2             -             +             -             -             -             4 2 15 13 14 16 1 3 5 9 8 12 11 7 10 6

612             6             2             -             +             -             -             -             4 2 15 13 14 16 1 3 7 11 6 10 9 5 12 8

614             6             5             -             +             -             -             -             4 3 14 13 5 15 2 12 16 10 7 1 9 6 11 8

615             6             8             -             -             -             +             -             4 3 14 13 6 10 7 11 15 5 12 2 9 16 1 8

617             6             1             -             +             -             -             -             4 3 14 13 15 10 7 2 6 5 12 11 9 16 1 8

619             6             0             +             -             -             -             -             4 3 14 13 16 15 2 1 5 10 7 12 9 6 11 8

624             6             5             -             +             -             -             -             4 5 12 13 7 16 1 10 14 11 6 3 9 2 15 8

625             6             2             -             +             -             -             -             4 5 12 13 14 16 1 3 7 11 6 10 9 2 15 8

626             6             8             -             -             -             +             -             4 5 14 11 7 9 2 16 10 8 15 1 13 12 3 6

627             6             7             -             +             -             -             -             4 5 14 11 7 16 9 2 10 1 8 15 13 12 3 6

629             6             7             -             +             -             -             -             4 5 14 11 10 8 1 15 7 9 16 2 13 12 3 6

631             6             7             -             +             -             -             -             4 5 14 11 15 8 1 10 2 9 16 7 13 12 3 6

634             6             7             -             -             -             +             -             4 5 15 10 6 9 3 16 11 8 14 1 13 12 2 7

639             6             5             -             +             -             -             -             4 5 16 9 6 15 10 3 11 2 7 14 13 12 1 8

641             6             5             -             +             -             -             -             4 5 16 9 11 7 2 14 6 10 15 3 13 12 1 8

645             6             5             -             +             -             -             -             4 5 16 9 14 7 2 11 3 10 15 6 13 12 1 8

653             6             1             -             +             -             -             -             4 6 11 13 14 15 2 3 9 12 5 8 7 1 16 10

656             6             0             +             -             -             -             -             4 6 11 13 16 15 2 1 5 10 7 12 9 3 14 8

665             6             0             +             -             -             -             -             4 6 15 9 14 12 7 1 3 5 10 16 13 11 2 8

667             6             0             +             -             -             -             -             4 6 15 9 16 10 5 3 1 7 12 14 13 11 2 8

672             6             2             -             +             -             -             -             4 7 10 13 14 16 1 3 5 9 8 12 11 2 15 6

673             6             0             +             -             -             -             -             4 7 10 13 15 14 3 2 9 12 5 8 6 1 16 11

680             6             7             -             -             +             -             -             4 7 14 9 12 6 1 15 5 11 16 2 13 10 3 8

683             6             7             -             -             +             -             -             4 7 14 9 15 6 1 12 2 11 16 5 13 10 3 8

694             6           11             -             -             +             -             -             4 9 14 7 11 5 2 16 6 12 15 1 13 8 3 10

697             6           10             -             -             +             -             -             4 9 15 6 10 5 3 16 7 12 14 1 13 8 2 11

706             6             4             -             +             -             -             -             4 10 7 13 14 8 9 3 5 1 16 12 11 15 2 6

707             6             1             -             +             -             -             -             4 10 7 13 14 15 2 3 5 8 9 12 11 1 16 6

718             6             0             +             -             -             -             -             4 11 6 13 15 14 3 2 5 8 9 12 10 1 16 7

719             6             3             -             +             -             -             -             4 11 6 13 16 7 10 1 5 2 15 12 9 14 3 8

725             6             7             -             -             +             -             -             4 12 5 13 14 6 11 3 7 1 16 10 9 15 2 8

739             6             0             +             -             -             -             -             4 14 3 13 15 12 5 2 6 7 10 11 9 1 16 8

740             6             3             -             +             -             -             -             4 14 3 13 16 7 10 1 5 2 15 12 9 11 6 8

742             6             4             -             +             -             -             -             4 14 5 11 15 8 1 10 2 9 16 7 13 3 12 6

743             6             3             -             +             -             -             -             4 14 5 11 16 9 2 7 1 8 15 10 13 3 12 6

745             6             7             -             -             +             -             -             4 14 7 9 15 6 1 12 2 11 16 5 13 3 10 8

747             6           11             -             -             +             -             -             4 14 9 7 16 5 2 11 1 12 15 6 13 3 8 10

750             6             2             -             +             -             -             -             4 15 5 10 16 9 3 6 1 8 14 11 13 2 12 7

751             6             0             +             -             -             -             -             4 15 6 9 16 10 5 3 1 7 12 14 13 2 11 8

752             6           10             -             -             +             -             -             4 15 9 6 16 5 3 10 1 12 14 7 13 2 8 11

755             6             6             -             -             -             +             -             5 2 15 12 3 13 4 14 16 8 9 1 10 11 6 7

756             6             7             -             -             -             +             -             5 2 15 12 4 11 6 13 16 7 10 1 9 14 3 8

760             6             7             -             -             +             -             -             5 2 15 12 10 16 1 7 11 13 4 6 8 3 14 9

764             6             0             +             -             -             -             -             5 2 15 12 16 13 4 1 3 8 9 14 10 11 6 7

769             6             7             -             -             -             +             -             5 3 14 12 4 10 7 13 16 6 11 1 9 15 2 8

772             6             7             -             -             +             -             -             5 3 14 12 11 16 1 6 10 13 4 7 8 2 15 9

776             6             6             -             -             -             +             -             5 3 16 10 6 9 4 15 11 8 13 2 12 14 1 7

777             6             2             -             +             -             -             -             5 3 16 10 11 13 8 2 6 4 9 15 12 14 1 7

780             6             2             -             +             -             -             -             5 3 16 10 15 9 4 6 2 8 13 11 12 14 1 7

793             6             0             +             -             -             -             -             5 6 11 12 16 9 8 1 3 4 13 14 10 15 2 7

801             6           15             -             -             +             -             -             5 10 11 8 14 4 1 15 3 13 16 2 12 7 6 9

804             6             0             +             -             -             -             -             5 11 6 12 16 13 4 1 3 8 9 14 10 2 15 7

807             6           15             -             -             +             -             -             5 11 10 8 15 4 1 14 2 13 16 3 12 6 7 9

813             6             0             +             -             -             -             -             5 14 3 12 16 11 6 1 4 7 10 13 9 2 15 8

815             6             0             +             -             -             -             -             5 15 2 12 16 9 8 1 3 4 13 14 10 6 11 7

816             6             0             +             -             -             -             -             5 15 2 12 16 10 7 1 4 6 11 13 9 3 14 8

819             6             5             -             -             -             +             -             6 1 16 11 3 12 5 14 15 8 9 2 10 13 4 7

821             6             5             -             -             +             -             -             6 1 16 11 9 15 2 8 12 14 3 5 7 4 13 10

825             6             5             -             -             +             -             -             6 2 15 11 7 16 1 10 12 13 4 5 9 3 14 8

826             6             5             -             -             +             -             -             6 2 15 11 12 16 1 5 7 13 4 10 9 3 14 8

830             6             5             -             -             +             -             -             6 3 14 11 7 16 1 10 12 13 4 5 9 2 15 8

832             6             5             -             -             +             -             -             6 3 14 11 12 16 1 5 7 13 4 10 9 2 15 8

833             6             5             -             -             -             +             -             6 3 15 10 4 9 5 16 13 8 12 1 11 14 2 7

841             6             5             -             -             +             -             -             6 4 13 11 12 15 2 5 9 14 3 8 7 1 16 10

846             6             9             -             -             +             -             -             6 7 12 9 14 4 1 15 3 13 16 2 11 10 5 8

848             6             9             -             -             +             -             -             6 7 12 9 15 4 1 14 2 13 16 3 11 10 5 8

849             6           13             -             -             +             -             -             6 9 12 7 13 3 2 16 4 14 15 1 11 8 5 10

856             6             9             -             -             +             -             -             6 12 7 9 14 4 1 15 3 13 16 2 11 5 10 8

857             6             9             -             -             +             -             -             6 12 7 9 15 4 1 14 2 13 16 3 11 5 10 8

861             6           13             -             -             +             -             -             6 12 9 7 16 3 2 13 1 14 15 4 11 5 8 10

862             6             0             +             -             -             -             -             6 13 4 11 15 12 5 2 3 8 9 14 10 1 16 7

864             6             0             +             -             -             -             -             6 15 3 10 16 9 5 4 1 8 12 13 11 2 14 7

268             7           13             -             -             -             +             -             2 5 16 11 8 12 1 13 9 7 14 4 15 10 3 6

271             7             7             -             +             -             -             -             2 5 16 11 13 12 1 8 4 7 14 9 15 10 3 6

300             7             11             -             -             -             +             -             2 7 14 11 8 10 3 13 9 5 16 4 15 12 1 6

303             7             5             -             +             -             -             -             2 7 14 11 13 10 3 8 4 5 16 9 15 12 1 6

346             7             9             -             -             +             -             -             2 9 16 7 12 8 1 13 5 11 14 4 15 6 3 10

347             7             9             -             -             +             -             -             2 9 16 7 13 8 1 12 4 11 14 5 15 6 3 10

369             7             9             -             -             +             -             -             2 11 14 7 12 6 3 13 5 9 16 4 15 8 1 10

371             7             9             -             -             +             -             -             2 11 14 7 13 6 3 12 4 9 16 5 15 8 1 10

438             7           12             -             -             -             +             -             3 2 16 13 8 15 1 10 9 6 12 7 14 11 5 4

439             7             8             -             -             -             +             -             3 2 16 13 10 15 1 8 7 6 12 9 14 11 5 4

453             7           10             -             -             -             +             -             3 5 12 14 6 11 8 9 15 2 13 4 10 16 1 7

455             7             8             -             -             -             +             -             3 5 12 14 8 9 6 11 13 4 15 2 10 16 1 7

470             7             12             -             -             -             +             -             3 6 12 13 8 11 5 10 9 2 16 7 14 15 1 4

472             7             8             -             -             -             +             -             3 6 12 13 10 11 5 8 7 2 16 9 14 15 1 4

486             7             3             -             +             -             -             -             3 6 15 10 16 11 2 5 1 8 13 12 14 9 4 7

510             7             1             -             +             -             -             -             3 8 13 10 16 9 4 5 1 6 15 12 14 11 2 7

517             7             9             -             -             +             -             -             3 9 8 14 10 7 12 5 15 2 13 4 6 16 1 11

518             7             9             -             -             +             -             -             3 9 8 14 12 5 10 7 13 4 15 2 6 16 1 11

525             7             9             -             -             +             -             -             3 9 16 6 10 8 1 15 7 13 12 2 14 4 5 11

529             7             9             -             -             +             -             -             3 9 16 6 15 8 1 10 2 13 12 7 14 4 5 11

531             7             9             -             -             +             -             -             3 10 7 14 13 4 9 8 12 5 16 1 6 15 2 11

538             7             9             -             -             +             -             -             3 10 15 6 16 7 2 9 1 12 13 8 14 5 4 11

552             7             9             -             -             +             -             -             3 12 13 6 16 5 4 9 1 10 15 8 14 7 2 11

564             7             9             -             -             +             -             -             3 13 12 6 15 4 5 10 2 9 16 7 14 8 1 11

692             7             9             -             -             +             -             -             4 9 8 13 10 7 14 3 15 2 11 6 5 16 1 12

693             7             9             -             -             +             -             -             4 9 8 13 14 3 10 7 11 6 15 2 5 16 1 12

700             7             9             -             -             +             -             -             4 9 16 5 11 8 1 14 6 15 10 3 13 2 7 12

703             7             9             -             -             +             -             -             4 9 16 5 14 8 1 11 3 15 10 6 13 2 7 12

714             7             9             -             -             +             -             -             4 10 15 5 16 7 2 9 1 14 11 8 13 3 6 12

717             7             9             -             -             +             -             -             4 11 6 13 15 2 9 8 10 7 16 1 5 14 3 12

738             7             9             -             -             +             -             -             4 14 3 13 15 2 9 8 10 7 16 1 5 11 6 12

749             7             9             -             -             +             -             -             4 14 11 5 16 3 6 9 1 10 15 8 13 7 2 12

757             7             8             -             -             -             +             -             5 2 15 12 4 13 8 9 14 3 10 7 11 16 1 6

758             7             7             -             -             -             +             -             5 2 15 12 8 9 4 13 10 7 14 3 11 16 1 6

765             7             7             -             +             -             -             -             5 2 16 11 4 15 1 14 13 10 8 3 12 7 9 6

767             7             3             -             +             -             -             -             5 2 16 11 14 15 1 4 3 10 8 13 12 7 9 6

775             7             7             -             +             -             -             -             5 3 16 10 4 14 1 15 13 11 8 2 12 6 9 7

781             7             3             -             +             -             -             -             5 3 16 10 15 14 1 4 2 11 8 13 12 6 9 7

782             7             5             -             +             -             -             -             5 4 13 12 10 7 2 15 8 9 16 1 11 14 3 6

783             7             3             -             +             -             -             -             5 4 13 12 11 6 3 14 8 9 16 1 10 15 2 7

786             7             0             +             -             -             -             -             5 4 14 11 16 13 3 2 1 8 10 15 12 9 7 6

795             7             0             +             -             -             -             -             5 8 10 11 16 9 7 2 1 4 14 15 12 13 3 6

799             7             1             -             +             -             -             -             5 10 8 11 14 7 9 4 3 2 16 13 12 15 1 6

805             7             0             +             -             -             -             -             5 11 8 10 15 6 9 4 2 3 16 13 12 14 1 7

829             7             5             -             +             -             -             -             6 3 14 11 4 13 12 5 15 2 7 10 9 16 1 8

831             7             1             -             +             -             -             -             6 3 14 11 12 5 4 13 7 10 15 2 9 16 1 8

845             7             1             -             +             -             -             -             6 4 15 9 16 13 2 3 1 12 7 14 11 5 10 8

858             7             0             +             -             -             -             -             6 12 7 9 16 5 10 3 1 4 15 14 11 13 2 8

867             7             3             -             +             -             -             -             7 2 15 10 4 13 12 5 14 3 6 11 9 16 1 8

868             7             1             -             +             -             -             -             7 2 15 10 12 5 4 13 6 11 14 3 9 16 1 8

869             7             5             -             -             +             -             -             7 2 16 9 6 15 1 12 11 14 4 5 10 3 13 8

870             7             7             -             -             +             -             -             7 2 16 9 12 15 1 6 5 14 4 11 10 3 13 8

873             7             0             +             -             -             -             -             7 4 14 9 16 13 3 2 1 12 6 15 10 5 11 8

875             7             7             -             -             +             -             -             7 6 11 10 14 3 2 15 4 13 16 1 9 12 5 8

878             7             5             -             -             +             -             -             7 12 5 10 14 3 2 15 4 13 16 1 9 6 11 8

879             7             0             +             -             -             -             -             7 12 6 9 16 5 11 2 1 4 14 15 10 13 3 8

8                 8           11             -             -             -             +             -             1 3 16 14 8 15 2 9 13 6 11 4 12 10 5 7

9                 8             3             -             +             -             -             -             1 3 16 14 12 15 2 5 13 10 7 4 8 6 9 11

10               8             4             -             -             -             +             +             1 3 16 14 13 15 2 4 8 6 11 9 12 10 5 7

11               8             2             -             +             -             -             -             1 3 16 14 13 15 2 4 12 10 7 5 8 6 9 11

20               8             7             -             -             -             +             -             1 4 14 15 9 12 6 7 16 5 11 2 8 13 3 10

26               8             5             -             +             -             -             -             1 4 15 14 9 12 7 6 16 5 10 3 8 13 2 11

40               8           12             -             -             -             +             +             1 5 16 12 8 14 3 9 10 4 13 7 15 11 2 6

41              8             8             -             -             -             +             +             1 5 16 12 10 14 3 7 8 4 13 9 15 11 2 6

42               8             3             -             +             -             -             -             1 5 16 12 10 14 3 7 15 11 6 2 8 4 9 13

43               8             0             +             -             -             -             -             1 5 16 12 15 14 3 2 10 11 6 7 8 4 9 13

58               8             2             -             +             -             -             -             1 6 12 15 13 10 8 3 16 7 9 2 4 11 5 14

94               8             1             -             +             -             -             -             1 7 16 10 11 13 4 6 14 12 5 3 8 2 9 15

99               8             0             +             -             -             -             -             1 7 16 10 14 13 4 3 11 12 5 6 8 2 9 15

128             8             0             +             -             -             -             -             1 9 16 8 14 12 5 3 4 6 11 13 15 7 2 10

129             8             0             +             -             -             -             -             1 9 16 8 15 12 5 2 4 7 10 13 14 6 3 11

170             8             0             +             -             -             -             -             1 12 6 15 13 10 8 3 16 7 9 2 4 5 11 14

212             8             8             -             -             -             +             -             2 3 13 16 10 11 5 8 15 6 12 1 7 14 4 9

232             8             3             -             +             -             -             -             2 3 16 13 10 11 8 5 15 6 9 4 7 14 1 12

242             8             9             -             -             -             +             -             2 4 15 13 5 14 3 12 16 7 10 1 11 9 6 8

243             8             3             -             +             -             -             -             2 4 15 13 9 14 3 8 16 11 6 1 7 5 10 12

244             8             0             +             -             -             -             -             2 4 15 13 16 14 3 1 5 7 10 12 11 9 6 8

245             8             0             +             -             -             -             -             2 4 15 13 16 14 3 1 9 11 6 8 7 5 10 12

248             8             1             -             +             -             -             -             2 5 11 16 14 9 7 4 15 8 10 1 3 12 6 13

275             8           12             -             -             -             +             +             2 6 15 11 7 13 4 10 9 3 14 8 16 12 1 5

276             8             8             -             -             -             +             +             2 6 15 11 9 13 4 8 7 3 14 10 16 12 1 5

277             8             1             -             +             -             -             -             2 6 15 11 9 13 4 8 16 12 5 1 7 3 10 14

278             8             0             +             -             -             -             -             2 6 15 11 16 13 4 1 9 12 5 8 7 3 10 14

327             8             0             +             -             -             -             -             2 8 15 9 11 12 5 6 14 13 4 3 7 1 10 16

332             8             1             -             +             -             -             -             2 8 15 9 14 12 5 3 11 13 4 6 7 1 10 16

353             8             0             +             -             -             -             -             2 10 15 7 13 11 6 4 3 5 12 14 16 8 1 9

354             8             0             +             -             -             -             -             2 10 15 7 16 11 6 1 3 8 9 14 13 5 4 12

357             8             0             +             -             -             -             -             2 11 5 16 14 9 7 4 15 8 10 1 3 6 12 13

409             8           12             -             -             -             +             -             3 1 14 16 8 15 2 9 13 6 11 4 10 12 7 5

410             8             3             -             +             -             -             -             3 1 14 16 12 15 2 5 13 10 7 4 6 8 11 9

411             8             4             -             -             -             +             +             3 1 14 16 13 15 2 4 8 6 11 9 10 12 7 5

412             8             2             -             +             -             -             -             3 1 14 16 13 15 2 4 12 10 7 5 6 8 11 9

417             8             6             -             -             -             +             +             3 2 13 16 11 10 5 8 14 7 12 1 6 15 4 9

437             8             9             -             -             -             +             -             3 2 16 13 7 12 6 9 14 5 11 4 10 15 1 8

440             8             2             -             +             -             -             -             3 2 16 13 11 10 8 5 14 7 9 4 6 15 1 12

495             8             0             +             -             -             -             -             3 7 14 10 9 12 5 8 16 13 4 1 6 2 11 15

496             8             0             +             -             -             -             -             3 7 14 10 16 12 5 1 2 6 11 15 13 9 4 8

497             8             1             -             +             -             -             -             3 7 14 10 16 12 5 1 9 13 4 8 6 2 11 15

541             8             0             +             -             -             -             -             3 11 14 6 13 10 7 4 2 5 12 15 16 8 1 9

542             8             0             +             -             -             -             -             3 11 14 6 16 10 7 1 2 8 9 15 13 5 4 12

579             8             2             -             -             -             +             +             4 1 14 15 12 9 6 7 13 8 11 2 5 16 3 10

585             8           10             -             -             -             +             +             4 1 15 14 8 11 5 10 13 6 12 3 9 16 2 7

586             8             1             -             +             -             -             -             4 1 15 14 12 9 7 6 13 8 10 3 5 16 2 11

605             8           10             -             -             -             +             -             4 2 13 15 5 14 3 12 16 7 10 1 9 11 8 6

606             8             3             -             +             -             -             -             4 2 13 15 9 14 3 8 16 11 6 1 5 7 12 10

607             8             0             +             -             -             -             -             4 2 13 15 16 14 3 1 5 7 10 12 9 11 8 6

608             8             0             +             -             -             -             -             4 2 13 15 16 14 3 1 9 11 6 8 5 7 12 10

686             8             0             +             -             -             -             -             4 8 13 9 10 11 6 7 15 14 3 2 5 1 12 16

687             8             0             +             -             -             -             -             4 8 13 9 15 11 6 2 1 5 12 16 14 10 3 7

688             8             3             -             +             -             -             -             4 8 13 9 15 11 6 2 10 14 3 7 5 1 12 16

726             8             0             +             -             -             -             -             4 12 13 5 14 9 8 3 1 6 11 16 15 7 2 10

727             8             0             +             -             -             -             -             4 12 13 5 15 9 8 2 1 7 10 16 14 6 3 11

23             9               3             -             +             -             -             -             1 4 14 15 16 11 5 2 9 6 12 7 8 13 3 10

29             9               2             -             +             -             -             -             1 4 15 14 16 10 5 3 9 7 12 6 8 13 2 11

59             9               1             -             +             -             -             -             1 6 12 15 16 9 7 2 13 8 10 3 4 11 5 14

105             9             1             -             +             -             -             -             1 8 10 15 16 13 3 2 5 4 14 11 12 9 7 6

118             9             3             -             +             -             -             -             1 8 13 12 16 11 2 5 3 6 15 10 14 9 4 7

142             9             1             -             +             -             -             -             1 10 8 15 16 13 3 2 5 4 14 11 12 7 9 6

145             9             9             -             -             +             -             -             1 10 15 8 16 6 3 9 5 11 14 4 12 7 2 13

161             9             9             -             -             +             -             -             1 11 14 8 16 5 4 9 7 12 13 2 10 6 3 15

172             9             0             +             -             -             -             -             1 12 6 15 16 9 7 2 13 8 10 3 4 5 11 14

180             9             9             -             -             +             -             -             1 12 13 8 16 7 2 9 3 10 15 6 14 5 4 11

193             9             3             -             +             -             -             -             1 13 8 12 16 11 2 5 3 6 15 10 14 4 9 7

197             9             9             -             -             +             -             -             1 13 12 8 16 7 2 9 3 10 15 6 14 4 5 11

200             9             0             +             -             -             -             -             1 14 4 15 16 11 5 2 9 6 12 7 8 3 13 10

205             9             9             -             -             +             -             -             1 14 11 8 16 5 4 9 7 12 13 2 10 3 6 15

207             9             0             +             -             -             -             -             1 15 4 14 16 10 5 3 9 7 12 6 8 2 13 11

208             9             9             -             -             +             -             -             1 15 10 8 16 6 3 9 5 11 14 4 12 2 7 13

215             9             5             -             +             -             -             -             2 3 13 16 15 12 6 1 10 5 11 8 7 14 4 9

235             9             1             -             +             -             -             -             2 3 16 13 15 9 6 4 10 8 11 5 7 14 1 12

249             9             2             -             +             -             -             -             2 5 11 16 15 10 8 1 14 7 9 4 3 12 6 13

272             9             3             -             +             -             -             -             2 5 16 11 15 10 3 6 4 7 14 9 13 12 1 8

283             9             3             -             +             -             -             -             2 7 9 16 15 14 4 1 6 3 13 12 11 10 8 5

335             9             3             -             +             -             -             -             2 9 7 16 15 14 4 1 6 3 13 12 11 8 10 5

348             9             9             -             -             +             -             -             2 9 16 7 15 5 4 10 6 12 13 3 11 8 1 14

349             9             9             -             -             +             -             -             2 9 16 7 15 6 3 10 4 11 14 5 13 8 1 12

358             9             0             +             -             -             -             -             2 11 5 16 15 10 8 1 14 7 9 4 3 6 12 13

373             9           11             -             -             +             -             -             2 11 14 7 15 4 5 10 8 13 12 1 9 6 3 16

390             9             0             +             -             -             -             -             2 13 3 16 15 12 6 1 10 5 11 8 7 4 14 9

403             9           11             -             -             +             -             -             2 14 11 7 15 4 5 10 8 13 12 1 9 3 6 16

405             9             9             -             -             +             -             -             2 15 4 13 16 6 11 1 9 3 14 8 7 10 5 12

406             9             2             -             +             -             -             -             2 15 4 13 16 10 7 1 5 3 14 12 11 6 9 8

407             9             9             -             -             +             -             -             2 15 6 11 16 5 12 1 9 4 13 8 7 10 3 14

408             9             0             +             -             -             -             -             2 15 10 7 16 9 8 1 3 6 11 14 13 4 5 12

418             9             5             -             +             -             -             -             3 2 13 16 14 12 7 1 11 5 10 8 6 15 4 9

441             9             1             -             +             -             -             -             3 2 16 13 14 9 7 4 11 8 10 5 6 15 1 12

442             9             1             -             +             -             -             -             3 2 16 13 14 11 5 4 7 6 12 9 10 15 1 8

509             9             5             -             +             -             -             -             3 8 13 10 14 11 2 7 1 6 15 12 16 9 4 5

526             9             9             -             -             +             -             -             3 9 16 6 14 4 5 11 7 13 12 2 10 8 1 15

551             9           11             -             -             +             -             -             3 12 13 6 14 7 2 11 1 10 15 8 16 5 4 9

555             9             0             +             -             -             -             -             3 13 2 16 14 12 7 1 11 5 10 8 6 4 15 9

559             9             5             -             +             -             -             -             3 13 8 10 14 11 2 7 1 6 15 12 16 4 9 5

563             9           11             -             -             +             -             -             3 13 12 6 14 7 2 11 1 10 15 8 16 4 5 9

567             9             9             -             -             +             -             -             3 14 7 10 16 4 13 1 9 5 12 8 6 11 2 15

568             9             0             +             -             -             -             -             3 14 7 10 16 11 6 1 2 5 12 15 13 4 9 8

571             9             0             +             -             -             -             -             3 14 11 6 16 9 8 1 2 7 10 15 13 4 5 12

580             9             3             -             +             -             -             -             4 1 14 15 13 11 8 2 12 6 9 7 5 16 3 10

587             9             2             -             +             -             -             -             4 1 15 14 13 10 8 3 12 7 9 6 5 16 2 11

588             9             3             -             +             -             -             -             4 1 15 14 13 12 6 3 8 5 11 10 9 16 2 7

644             9             5             -             +             -             -             -             4 5 16 9 13 10 3 8 2 7 14 11 15 12 1 6

701             9             9             -             -             +             -             -             4 9 16 5 13 6 3 12 2 11 14 7 15 8 1 10

711             9           11             -             -             +             -             -             4 10 15 5 13 3 6 12 8 14 11 1 9 7 2 16

728             9             9             -             -             +             -             -             4 13 2 15 16 6 11 1 9 3 14 8 5 12 7 10

729             9             2             -             +             -             -             -             4 13 2 15 16 10 7 1 5 3 14 12 9 8 11 6

732             9           11             -             -             +             -             -             4 13 8 9 15 3 14 2 10 6 11 7 5 12 1 16

733             9             0             +             -             -             -             -             4 13 8 9 15 12 5 2 1 6 11 16 14 3 10 7

736             9             0             +             -             -             -             -             4 13 12 5 14 11 6 3 1 8 9 16 15 2 7 10

737             9             0             +             -             -             -             -             4 13 12 5 15 10 7 2 1 8 9 16 14 3 6 11

238             10             2             -             +             -             -             -             2 4 13 15 14 16 3 1 7 5 10 12 11 9 8 6

239             10             0             +             -             -             -             -             2 4 13 15 14 16 3 1 11 9 6 8 7 5 12 10

240             10             2             -             +             -             -             -             2 4 13 15 16 14 1 3 5 7 12 10 11 9 8 6

241             10             2             -             +             -             -             -             2 4 13 15 16 14 1 3 9 11 8 6 7 5 12 10

260             10             0             +             -             -             -             -             2 5 12 15 14 16 3 1 11 9 6 8 7 4 13 10

263             10             2             -             +             -             -             -             2 5 12 15 16 14 1 3 9 11 8 6 7 4 13 10

340             10             0             +             -             -             -             -             2 9 8 15 14 16 3 1 7 5 10 12 11 4 13 6

343             10             2             -             +             -             -             -             2 9 8 15 16 14 1 3 5 7 12 10 11 4 13 6

413             10             2             -             +             -             -             -             3 1 16 14 13 15 4 2 8 6 9 11 10 12 5 7

414             10             0             +             -             -             -             -             3 1 16 14 13 15 4 2 12 10 5 7 6 8 9 11

415             10             2             -             +             -             -             -             3 1 16 14 15 13 2 4 6 8 11 9 10 12 5 7

416             10             2             -             +             -             -             -             3 1 16 14 15 13 2 4 10 12 7 5 6 8 9 11

431             10             1             -             +             -             -             -             3 2 15 14 12 16 5 1 13 9 4 8 6 7 10 11

434             10             4             -             +             -             -             -             3 2 15 14 16 12 1 5 9 13 8 4 6 7 10 11

491             10             4             -             +             -             -             -             3 7 10 14 12 16 5 1 6 2 11 15 13 9 8 4

492             10             1             -             +             -             -             -             3 7 10 14 12 16 5 1 13 9 4 8 6 2 15 11

493             10             4             -             +             -             -             -             3 7 10 14 16 12 1 5 2 6 15 11 13 9 8 4

494             10             4             -             +             -             -             -             3 7 10 14 16 12 1 5 9 13 8 4 6 2 15 11

500             10             0             +             -             -             -             -             3 8 9 14 13 15 4 2 12 10 5 7 6 1 16 11

501             10             2             -             +             -             -             -             3 8 9 14 15 13 2 4 10 12 7 5 6 1 16 11

519             10             4             -             +             -             -             -             3 9 8 14 12 16 5 1 6 2 11 15 13 7 10 4

522             10             4             -             +             -             -             -             3 9 8 14 16 12 1 5 2 6 15 11 13 7 10 4

544             10             0             +             -             -             -             -             3 12 5 14 13 15 4 2 8 6 9 11 10 1 16 7

546             10             2             -             +             -             -             -             3 12 5 14 15 13 2 4 6 8 11 9 10 1 16 7

598             10             3             -             +             -             -             -             4 1 16 13 11 15 6 2 14 10 3 7 5 8 9 12

601             10             4             -             +             -             -             -             4 1 16 13 15 11 2 6 10 14 7 3 5 8 9 12

616             10             5             -             +             -             -             -             4 3 14 13 10 16 7 1 15 9 2 8 5 6 11 12

618             10             6             -             +             -             -             -             4 3 14 13 16 10 1 7 9 15 8 2 5 6 11 12

652             10             5             -             +             -             -             -             4 6 11 13 10 16 7 1 15 9 2 8 5 3 14 12

655             10             6             -             +             -             -             -             4 6 11 13 16 10 1 7 9 15 8 2 5 3 14 12

684             10             3             -             +             -             -             -             4 8 9 13 11 15 6 2 14 10 3 7 5 1 16 12

685             10             4             -             +             -             -             -             4 8 9 13 15 11 2 6 10 14 7 3 5 1 16 12

753             10             4             -             +             -             -             -             5 1 16 12 10 14 7 3 8 4 9 13 11 15 2 6

754             10             4             -             +             -             -             -             5 1 16 12 14 10 3 7 4 8 13 9 11 15 2 6

759             10             3             -             +             -             -             -             5 2 15 12 8 16 9 1 11 3 6 14 10 13 4 7

762             10             7             -             +             -             -             -             5 2 15 12 16 8 1 9 3 11 14 6 10 13 4 7

770             10             5             -             +             -             -             -             5 3 14 12 8 16 9 1 10 2 7 15 11 13 4 6

773             10             7             -             +             -             -             -             5 3 14 12 16 8 1 9 2 10 15 7 11 13 4 6

794             10             1             -             +             -             -             -             5 8 10 11 13 16 2 3 4 9 7 14 12 1 15 6

796             10             0             +             -             -             -             -             5 8 11 10 13 16 3 2 4 9 6 15 12 1 14 7

800             10             0             +             -             -             -             -             5 10 8 11 15 14 4 1 2 7 9 16 12 3 13 6

811             10             3             -             +             -             -             -             5 13 4 12 16 8 1 9 2 10 15 7 11 3 14 6

812             10             3             -             +             -             -             -             5 13 4 12 16 8 1 9 3 11 14 6 10 2 15 7

814             10             0             +             -             -             -             -             5 14 4 11 15 10 8 1 2 3 13 16 12 7 9 6

820             10             1             -             +             -             -             -             6 1 16 11 7 15 10 2 12 4 5 13 9 14 3 8

823             10             5             -             +             -             -             -             6 1 16 11 15 7 2 10 4 12 13 5 9 14 3 8

847             10             0             +             -             -             -             -             6 7 12 9 14 15 4 1 3 10 5 16 11 2 13 8

863             10             1             -             +             -             -             -             6 14 3 11 15 7 2 10 4 12 13 5 9 1 16 8

865             10             1             -             +             -             -             -             7 1 16 10 6 14 11 3 12 4 5 13 9 15 2 8

866             10             3             -             +             -             -             -             7 1 16 10 14 6 3 11 4 12 13 5 9 15 2 8

871             10             6             -             -             +             -             -             7 4 14 9 5 16 2 11 12 13 3 6 10 1 15 8

872             10             5             -             -             +             -             -             7 4 14 9 11 16 2 5 6 13 3 12 10 1 15 8

874             10             5             -             -             +             -             -             7 5 12 10 16 4 1 13 2 14 15 3 9 11 6 8

876             10             0             +             -             -             -             -             7 6 12 9 15 14 4 1 2 11 5 16 10 3 13 8

877             10             7             -             -             +             -             -             7 11 6 10 16 4 1 13 2 14 15 3 9 5 12 8

880             10             0             +             -             -             -             -             7 14 4 9 15 6 12 1 2 3 13 16 10 11 5 8

181             11             1             -             +             -             -             -             1 12 13 8 16 9 4 5 2 7 14 11 15 6 3 10

202             11             9             -             -             +             -             -             1 14 7 12 16 5 10 3 9 4 15 6 8 11 2 13

364             11             9             -             -             +             -             -             2 11 8 13 15 4 9 6 10 5 16 3 7 14 1 12

374             11             3             -             +             -             -             -             2 11 14 7 15 10 3 6 1 8 13 12 16 5 4 9

484             11             5             -             +             -             -             -             3 6 15 10 14 7 2 11 4 9 16 5 13 12 1 8

643             11             7             -             +             -             -             -             4 5 16 9 13 8 1 12 3 10 15 6 14 11 2 7

689             11             9             -             -             +             -             -             4 9 6 15 11 8 13 2 14 1 12 7 5 16 3 10

724             11             11             -             -             +             -             -             4 11 14 5 15 2 7 10 6 13 12 3 9 8 1 16

3                 12             2             -             +             -             -             -             1 2 16 15 13 14 4 3 12 7 9 6 8 11 5 10

88               12             1             -             +             -             -             -             1 7 14 12 9 15 4 6 16 10 5 3 8 2 11 13

209             12             3             -             -             -             +             -             2 1 15 16 14 13 3 4 11 8 10 5 7 12 6 9

319             12             1             -             +             -             -             -             2 8 11 13 10 16 5 3 15 9 4 6 7 1 14 12

449             12             0             +             -             -             -             -             3 4 14 13 15 16 2 1 6 9 7 12 10 5 11 8

613             12             1             -             +             -             -             -             4 3 13 14 16 15 1 2 5 10 8 11 9 6 12 7

650             12             6             -             +             -             -             -             4 6 9 15 14 12 1 7 11 13 8 2 5 3 16 10

666             12             5             -             +             -             -             -             4 6 15 9 14 12 7 1 11 13 2 8 5 3 10 16