Acronym rahi
Name rectified hecatonicosachoron
 
Cross sections
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Circumradius sqrt[(21+9 sqrt(5))/2] = 4.534568
Vertex figure
 ©
Vertex layers
LayerSymmetrySubsymmetries
 o3o3o5o o3o3o . o3o . o o . o5o . o3o5o
1o3o3x5o o3o3x .
tet first
o3o . o
vertex first
o . x5o
{5} first
. o3x5o
id first
2 o3x3f . x3o . f
vertex figure
x . o5f . o3o5f
3 o3F3o . F3o . x F . x5x . o3x5x
4 x3f3f . f3x . F f . o5F . x3f5o
5a F3o3F . V3x . o B . f5o . F3o5x
5b o3F . V
6a F3f3x . f3F . F o . o5V . f3f5o
6b V . F5o
6c C . o5x
7a f3f3F . F3F . x f . x5F . o3F5o
7b B3x3o . f3f . B
8a o3F3V . x3B . f F . F5x . f3x5x
8b V3F3o . D . f5o
9a f3x3B . C3o . o x . F5f . x3o5F
9b D3o3o . f3B . o B . V5o
9c F3o . C
10a f3F3F . F3V . F o . B5o . F3o5f
10b x3f . D
11a x3o3D . D3o . o F . f5F . V3x5o
11b F3V3x . F3f . C D . F5o . o3o5V
12a B3F3o . o3D . f T . x5x . F3o5f
12b o3x . T
13a F3o3C . C3f . x o . V5f . x3o5F
13b x3B3f . V3F . B V . o5B
13c D3x3o . C . F5x
14a F3F3F . B3F . F B . f5F . f3x5x
14b o3D3o .
15 o3o3T . o3F . T T . o5F . o3F5o
16a V3x3B . F3B . V F . f5V . f3f5o
16b C3f3x . B3x . C D . x5F
16c G . o5f
17a B3f3F . D3x . F x . F5F . F3o5x
17b o3C3f . x3D . F
17c F3F . D
17d o3o . G
18a F3o3D . o3T . x o . B5x . x3f5o
18b D3o3F . D3o . B C . F5f
18c J . x5o
19a x3o3T . C3F . f f . x5B . o3x5x
19b F3F3V . x3V . T T . o5V
20a x3B3F . f3C . B F . F5F . o3o5f
20b C3f3f .
21a f3x3D . F3C . F o . o5C . o3x5o
opposite id
21b o3D3x . f3B . D C . B5o
21c C3o . D J . o5f
21d o3F . G
22a f3F3B . C3V . o x . C5o  
22b x3T . o B . V5f
22c T3o . V
22d o3D . C
22e o3x . J
23a o3F3C . B3B . f F . B5x
23b C3F3o . F3F . T D . F5f
23c F3V3F . G . o5F
24a B3F3f . F3D . x f . o5C
24b T . x5F
25a D3x3f . D3F . f V . F5F
25b x3D3o . B3x . T J . x5x
26a F3B3x . f3C . C f . C5o
26b f3f3C . x3f . J T . F5x
27a T3o3x . V3C . F F . x5B
27b V3F3F . T3x . F D . f5F
27c D3o . D G . F5o
27d F3f . G
28a F3o3D . T3o . B x . o5C
28b D3o3F . B . f5V
29a F3f3B . f3T . o o . C5o
29b f3C3o . F3o . J C . o5B
29c J . f5o
30a B3x3V . V3F . T F . F5F
30b x3f3C .
31a T3o3o . T3f . x f . B5x
31b F3C . B T . V5o
32a F3F3F . D3F . F o . x5B
32b o3D3o . F3B . D C . f5F
32c J . o5x
33a C3o3F . G3o . o x . F5F
33b f3B3x . o3G . o
33c o3x3D . B3B . V
33d D3x . C
33e x3D . C
33f f3f . J
34a o3F3B . F3D . F F . V5f
34b B3F . D D . F5x
34c G . f5o
35a D3o3x . f3T . x T . F5o
35b x3V3F . C3F . B
36 F3F3f . F3V . T B . F5f
37a B3x3f . T3f . o o . f5V
37b o3o3D . o3F . J V . B5o
37c C . x5F
38a o3F3V . o3T . B T . x5x
38b V3F3o .
39a F3f3f . C3V . F F . F5f
39b o3x3B . x3T . F D . o5F
39c o3D . D
39d f3F . G
40 x3f3F . C3f . C o . o5B
40b f3x . J
41a F3o3F . F3D . f x . f5F
41b x3B . T B . o5V
42a f3f3x . D3F . x F . x5F
42b D . o5f
43a o3F3o . B3B . f f . F5x
43b F3F . T
44a o3x3f . V3C . o o . V5o
44b T3x . o V . o5F
44c o3T . V C . x5o
44d D3o . C
44e x3o . J
45a o3o3x .
opposite tet
C3F . F B . o5f
45b B3f . D
45c o3C . D
45d F3o . G
46   C3f . B f . F5o
47a F3C . f F . x5x
47b V3x . T
48a T3o . x x . f5o
48b o3D . B
49a x3D . F o . o5x
opposite {5}
49b D3x . F
49c F3F . D
49d o3o . G
50a B3F . V  
50b x3B . C
51 F3o . T
52 F3B . F
53a f3C . x
53b F3V . B
54a D3o . f
54b x3o . T
55a o3D . o
55b f3F . C
56a V3F . F
56b f3x . D
57a o3C . o
57b B3f . o
57c o3F . C
58 B3x . f
59a F3F . x
59b f3f . B
60 F3f . F
61a x3V . o
61b F3o . V
62 x3f . F
63 o3F . x
64 o3x . f
65 o3o . o
opposite vertex
(F=ff=f+x=2x+v, V=F+v=2f=2x+2v, B=fff=F+f=2f+x=3x+2v, C=B+x=2F=2f+2x=4x+2v,
 D=C+v=3f+x=4x+3v, T=FF=3f+2x=5x+3v, G=3F=3f+3x=6x+3v, J=2B=4f+2x=6x+4v)
Lace city
in approx. ASCII-art
 ©  
                                                                x5o                                                                
                                                        o5f             o5f                                                        
                                                                                                                                   
                                            x5x                                     x5x                                            
                                                    o5F                     o5F                                                    
                                f5o                                                             f5o                                
                        o5x             F5o                     o5V                     F5o             o5x                        
                                                                                                                                   
                                                    x5F                     x5F                                                    
                    f5o                     F5x                                     F5x                     f5o                    
                                                                                                                                   
                                V5o                     F5f             F5f                     V5o                                
                                                                B5o                                                                
                    F5o                     f5F                                     f5F                     F5o                    
            x5x                                                                                                     x5x            
                                                                                                                                   
                        F5x             o5B                     V5f                     o5B             F5x                        
                                f5F                                                             f5F                                
            o5F                                                                                                     o5F            
    o5f             x5F                     f5V                                     f5V                     x5F             o5f    
                                                                                                                                   
                                                        F5F             F5F                                                        
x5o                     F5f                                     B5x                                     F5f                     x5o
                                                                                                                                   
            o5V                                     x5B                      x5B                                    o5V            
                                            F5F                                     F5F                                            
o5f                     B5o                                     o5C                                     B5o                     o5f
                                V5f                     C5o             C5o                     V5f                                
                                                                                                                                   
    o5F             F5f                     B5x                                     B5x                     F5f             o5F    
            x5F                                     o5C                     o5C                                     x5F            
                                                                                                                                   
x5x                                     F5F                                             F5F                                     x5x
                                                                                                                                   
            F5x                                     C5o                     C5o                                     F5x            
    F5o             f5F                     x5B                                     x5B                     f5F             F5o    
                                                                                                                                   
                                f5V                     o5C             o5C                     f5V                                
f5o                     o5B                                     C5o                                     o5B                     f5o
                                            F5F                                     F5F                                            
            V5o                                     B5x                      B5x                                    V5o            
                                                                                                                                   
o5x                     f5F                                     x5B                                     f5F                     o5x
                                                        F5F             F5F                                                        
                                                                                                                                   
    f5o             F5x                     V5f                                     V5f                     F5x             f5o    
            F5o                                                                                                     F5o            
                                F5f                                                             F5f                                
                        x5F             B5o                     f5V                     B5o             x5F                        
                                                                                                                                   
            x5x                                                                                                     x5x            
                    o5F                     F5f                                     F5f                     o5F                    
                                                                o5B                                                                
                                o5V                     f5F             f5F                     o5V                                
                                                                                                                                   
                    o5f                     x5F                                     x5F                     o5f                    
                                                    F5x                     F5x                                                    
                                                                                                                                   
                        x5o             o5F                     V5o                     o5F             x5o                        
                                o5f                                                             o5f                                
                                                    F5o                     F5o                                                    
                                            x5x                                     x5x                                            
                                                                                                                                   
                                                        f5o             f5o                                                        
                                                                o5x                                                                
 ©  
                                o3x   x3f F3o   f3f   o3F f3x   x3o                                		-- o3x5o
                                                                                                   
                        o3o   o3F       F3f             f3F       F3o   o3o                        		-- o3o5f
                                                                                                   
                                                                                                   
                 o3x o3F   x3V   F3F B3x   V3F       F3V   x3B F3F   V3x   F3o x3o                 		-- o3x5x
                                                                                                   
                                                                                                   
              x3f       F3F  fC3Bo      D3o   F3B B3F   o3D      Bo3fC  F3F       f3x              		-- x3f5o
                                                                                                   
            F3o F3f   B3x       o3D   f3C      Dx3xD      C3f   D3o       x3B   f3F o3F            		-- F3o5x
                                                                                                   
                                                                                                   
         f3f       V3F   D3o f3C         T3o F3C   C3F o3T         C3f o3D   F3V       f3f         		-- f3f5o
                                                                                                   
                                                                                                   
      o3F             F3B       T3o             B3B             o3T       B3F             F3o      		-- o3F5o
                                                                                                   
    f3x f3F   F3V   B3F #     F3C      VT3Cx  D3F F3D  Cx3VT      C3F   #   F3B   V3F   F3f x3f    		-- f3x5x
                      (Dx3xD)                                         (Dx3xD)                      
                                                                                                   
 x3o       x3B   o3D       C3F   B3B D3F                   F3D B3B   F3C       D3o   B3x       o3x 		-- x3o5F
                                                                                                   
   F3o   F3F       C3f   o3T       F3D       T3f   f3T       D3F       T3o   f3C       F3F   o3F   		-- F3o5f
                                                                                                   
                                                                                                   
o3o   V3x   #   D3o            Cx3VT      f3T  Go3oG  T3f      VT3Cx            o3D #     x3V   o3o		-- Vo3xo5oV
          (Bo3fC)                                                                 (fC3Bo)          
                                                                                                   
   F3o   F3F       C3f   o3T       F3D       T3f   f3T       D3F       T3o   f3C       F3F   o3F   		-- F3o5f
                                                                                                   
 x3o       x3B   o3D       C3F   B3B D3F                   F3D B3B   F3C       D3o   B3x       o3x 		-- x3o5F
                                                                                                   
                      (Dx3xD)                                         (Dx3xD)                      
    f3x f3F   F3V   B3F #     F3C      VT3Cx  D3F F3D  Cx3VT      C3F   #   F3B   V3F   F3f x3f    		-- f3x5x
                                                                                                   
      o3F             F3B       T3o             B3B             o3T       B3F             F3o      		-- o3F5o
                                                                                                   
                                                                                                   
         f3f       V3F   D3o f3C         T3o F3C   C3F o3T         C3f o3D   F3V       f3f         		-- f3f5o
                                                                                                   
                                                                                                   
            F3o F3f   B3x       o3D   f3C      Dx3xD      C3f   D3o       x3B   f3F o3F            		-- F3o5x
                                                                                                   
              x3f       F3F  fC3Bo      D3o   F3B B3F   o3D      Bo3fC  F3F       f3x              		-- x3f5o
                                                                                                   
                                                                                                   
                 o3x o3F   x3V   F3F B3x   V3F       F3V   x3B F3F   V3x   F3o x3o                 		-- o3x5x
                                                                                                   
                                                                                                   
                        o3o   o3F       F3f             f3F       F3o   o3o                        		-- o3o5f
                                                                                                   
                                o3x   x3f F3o   f3f   o3F f3x   x3o                                		-- o3x5o
General of army (is itself convex)
Colonel of regiment (is itself locally convex – uniform polychoral members:
by cells: id tet tid
rahi 1206000
shinhi 1200120
fry 0600120
)
Dual o5m3o3o
Dihedral angles
  • at {3} between tet and id:   arccos(-sqrt[7+3 sqrt(5)]/4) = 157.761244°
  • at {5} between id and id:   144°
Face vector 1200, 3600, 3120, 720
Confer
Grünbaumian relatives:
2rahi   2rahi+2400tet  
related CRFs:
id || f-doe || tid   bicypdrahi  
decompositions:
hi || rahi  
ambification:
rerahi  
ambification pre-image:
hi  
general polytopal classes:
Wythoffian polychora  
External
links
hedrondude   wikipedia   polytopewiki   WikiChoron   quickfur

As abstract polytope rahi is isomorphic to rigogishi, thereby replacing pentagons by pentagrams, resp. replacing id by gid.

Note that rahi can be thought of as the external blend of 1 hi + 600 pens + 120 doaids. This decomposition is described as the degenerate segmentoteron oo3oo3ox5xo&#x.


Incidence matrix according to Dynkin symbol

o3o3x5o

. . . . | 1200     6 |    6   3 |   2   3
--------+------+------+----------+--------
. . x . |    2 | 3600 |    2   1 |   1   2
--------+------+------+----------+--------
. o3x . |    3 |    3 | 2400   * |   1   1
. . x5o |    5 |    5 |    * 720 |   0   2
--------+------+------+----------+--------
o3o3x .     4 |    6 |    4   0 | 600   *
. o3x5o    30 |   60 |   20  12 |   * 120

snubbed forms: o3o3β5o

o3o3x5/4o

. . .   . | 1200     6 |    6   3 |   2   3
----------+------+------+----------+--------
. . x   . |    2 | 3600 |    2   1 |   1   2
----------+------+------+----------+--------
. o3x   . |    3 |    3 | 2400   * |   1   1
. . x5/4o |    5 |    5 |    * 720 |   0   2
----------+------+------+----------+--------
o3o3x   .     4 |    6 |    4   0 | 600   *
. o3x5/4o    30 |   60 |   20  12 |   * 120

o3o3/2x5o

. .   . . | 1200     6 |    6   3 |   2   3
----------+------+------+----------+--------
. .   x . |    2 | 3600 |    2   1 |   1   2
----------+------+------+----------+--------
. o3/2x . |    3 |    3 | 2400   * |   1   1
. .   x5o |    5 |    5 |    * 720 |   0   2
----------+------+------+----------+--------
o3o3/2x .     4 |    6 |    4   0 | 600   *
. o3/2x5o    30 |   60 |   20  12 |   * 120

o3o3/2x5/4o

. .   .   . | 1200     6 |    6   3 |   2   3
------------+------+------+----------+--------
. .   x   . |    2 | 3600 |    2   1 |   1   2
------------+------+------+----------+--------
. o3/2x   . |    3 |    3 | 2400   * |   1   1
. .   x5/4o |    5 |    5 |    * 720 |   0   2
------------+------+------+----------+--------
o3o3/2x   .     4 |    6 |    4   0 | 600   *
. o3/2x5/4o    30 |   60 |   20  12 |   * 120

o3/2o3x5o

.   . . . | 1200     6 |    6   3 |   2   3
----------+------+------+----------+--------
.   . x . |    2 | 3600 |    2   1 |   1   2
----------+------+------+----------+--------
.   o3x . |    3 |    3 | 2400   * |   1   1
.   . x5o |    5 |    5 |    * 720 |   0   2
----------+------+------+----------+--------
o3/2o3x .     4 |    6 |    4   0 | 600   *
.   o3x5o    30 |   60 |   20  12 |   * 120

o3/2o3x5/4o

.   . .   . | 1200     6 |    6   3 |   2   3
------------+------+------+----------+--------
.   . x   . |    2 | 3600 |    2   1 |   1   2
------------+------+------+----------+--------
.   o3x   . |    3 |    3 | 2400   * |   1   1
.   . x5/4o |    5 |    5 |    * 720 |   0   2
------------+------+------+----------+--------
o3/2o3x   .     4 |    6 |    4   0 | 600   *
.   o3x5/4o    30 |   60 |   20  12 |   * 120

o3/2o3/2x5o

.   .   . . | 1200     6 |    6   3 |   2   3
------------+------+------+----------+--------
.   .   x . |    2 | 3600 |    2   1 |   1   2
------------+------+------+----------+--------
.   o3/2x . |    3 |    3 | 2400   * |   1   1
.   .   x5o |    5 |    5 |    * 720 |   0   2
------------+------+------+----------+--------
o3/2o3/2x .     4 |    6 |    4   0 | 600   *
.   o3/2x5o    30 |   60 |   20  12 |   * 120

o3/2o3/2x5/4o

.   .   .   . | 1200     6 |    6   3 |   2   3
--------------+------+------+----------+--------
.   .   x   . |    2 | 3600 |    2   1 |   1   2
--------------+------+------+----------+--------
.   o3/2x   . |    3 |    3 | 2400   * |   1   1
.   .   x5/4o |    5 |    5 |    * 720 |   0   2
--------------+------+------+----------+--------
o3/2o3/2x   .     4 |    6 |    4   0 | 600   *
.   o3/2x5/4o    30 |   60 |   20  12 |   * 120

JGTDCBVFfxoo2oooxFfofxFVo3xoxfofFxooxo5ofxoxooxFfoV&#zx   → all (existing) heights = 0
(F=ff=x+f=2x+v, V=F+v=2f=2x+2v, B=fff=F+f=3x+2v, C=B+x=2F=4x+2v, D=C+v=4x+3v, T=FF=5x+3v, G=3F=6x+3v, H=7x+3v, J=2B=6x+4v, K=7x+4v)

o...........2o...........3o...........5o...........     | 60  *   *   *   *   *  *   *   *   *  *  *    4   2   0   0  0   0  0   0   0   0   0   0   0   0   0   0   0   0   0   0   0  0   0  0 |  2  2   4  1   0  0   0   0   0   0  0   0  0   0   0   0   0   0   0   0   0   0   0  0  0   0   0   0  0 | 1  2  2  0  0  0   0  0   0  0   0  0  0
.o..........2.o..........3.o..........5.o..........     |  * 40   *   *   *   *  *   *   *   *  *  *    0   3   3   0  0   0  0   0   0   0   0   0   0   0   0   0   0   0   0   0   0  0   0  0 |  0  0   3  3   3  0   0   0   0   0  0   0  0   0   0   0   0   0   0   0   0   0   0  0  0   0   0   0  0 | 0  1  3  1  0  0   0  0   0  0   0  0  0
..o.........2..o.........3..o.........5..o.........     |  *  * 120   *   *   *  *   *   *   *  *  *    0   0   1   2  1   2  0   0   0   0   0   0   0   0   0   0   0   0   0   0   0  0   0  0 |  0  0   0  1   2  1   1   2   2   0  0   0  0   0   0   0   0   0   0   0   0   0   0  0  0   0   0   0  0 | 0  0  2  1  1  1   0  0   0  0   0  0  0
...o........2...o........3...o........5...o........     |  *  *   * 120   *   *  *   *   *   *  *  *    0   0   0   0  0   2  1   2   1   0   0   0   0   0   0   0   0   0   0   0   0  0   0  0 |  0  0   0  0   0  0   2   2   1   1  1   2  0   0   0   0   0   0   0   0   0   0   0  0  0   0   0   0  0 | 0  0  1  0  2  1   1  0   0  0   0  0  0
....o.......2....o.......3....o.......5....o.......     |  *  *   *   * 120   *  *   *   *   *  *  *    0   0   0   0  0   0  0   2   0   2   2   0   0   0   0   0   0   0   0   0   0  0   0  0 |  0  0   0  0   0  0   0   1   0   2  0   2  1   1   2   0   0   0   0   0   0   0   0  0  0   0   0   0  0 | 0  0  1  0  1  0   2  1   0  0   0  0  0
.....o......2.....o......3.....o......5.....o......     |  *  *   *   *   * 120  *   *   *   *  *  *    0   0   0   0  0   0  0   0   1   0   2   1   2   0   0   0   0   0   0   0   0  0   0  0 |  0  0   0  0   0  0   0   0   0   0  1   2  0   2   1   1   2   0   0   0   0   0   0  0  0   0   0   0  0 | 0  0  0  0  2  0   1  1   1  0   0  0  0
......o.....2......o.....3......o.....5......o.....     |  *  *   *   *   *   * 60   *   *   *  *  *    0   0   0   0  0   0  0   0   0   0   0   2   0   4   0   0   0   0   0   0   0  0   0  0 |  0  0   0  0   0  0   0   0   0   0  1   0  0   0   0   0   4   2   2   0   0   0   0  0  0   0   0   0  0 | 0  0  0  0  2  0   0  0   2  1   0  0  0
.......o....2.......o....3.......o....5.......o....     |  *  *   *   *   *   *  * 240   *   *  *  *    0   0   0   0  0   0  0   0   0   0   0   0   1   1   1   1   1   1   0   0   0  0   0  0 |  0  0   0  0   0  0   0   0   0   0  0   0  0   1   0   1   1   1   1   1   1   1   1  0  0   0   0   0  0 | 0  0  0  0  1  0   0  1   1  0   1  0  0
........o...2........o...3........o...5........o...     |  *  *   *   *   *   *  *   * 120   *  *  *    0   0   0   0  0   0  0   0   0   0   0   0   0   0   0   0   2   0   2   1   1  0   0  0 |  0  0   0  0   0  0   0   0   0   0  0   0  0   0   0   0   0   2   0   1   0   0   2  1  1   2   0   0  0 | 0  0  0  0  1  0   0  0   0  2   1  1  0
.........o..2.........o..3.........o..5.........o..     |  *  *   *   *   *   *  *   *   * 120  *  *    0   0   0   0  0   0  0   0   0   0   0   0   0   0   0   0   0   2   0   1   0  1   2  0 |  0  0   0  0   0  0   0   0   0   0  0   0  0   0   0   0   0   0   0   0   1   2   2  0  1   0   2   1  0 | 0  0  0  0  0  0   0  1   0  2   1  0  1
..........o.2..........o.3..........o.5..........o.     |  *  *   *   *   *   *  *   *   *   * 60  *    0   0   0   0  0   0  0   0   0   0   0   0   0   0   0   0   0   0   0   0   0  0   4  2 |  0  0   0  0   0  0   0   0   0   0  0   0  0   0   0   0   0   0   0   0   0   2   0  0  0   0   4   2  1 | 0  0  0  0  0  0   0  2   0  1   0  0  2
...........o2...........o3...........o5...........o     |  *  *   *   *   *   *  *   *   *   *  * 20    0   0   0   0  0   0  0   0   0   0   0   0   0   0   0   0   0   0   0   0   6  0   0  0 |  0  0   0  0   0  0   0   0   0   0  0   0  0   0   0   0   0   0   0   0   0   0   0  0  3   6   0   0  0 | 0  0  0  0  0  0   0  0   0  3   0  2  0
--------------------------------------------------------+--------------------------------------------+---------------------------------------------------------------------------------------------+------------------------------------------------------------------------------------------------------------+-----------------------------------------
............ ............ x........... ............     |  2  0   0   0   0   0  0   0   0   0  0  0 | 120   *   *   *  *   *  *   *   *   *   *   *   *   *   *   *   *   *   *   *   *  *   *  * |  1  1   1  0   0  0   0   0   0   0  0   0  0   0   0   0   0   0   0   0   0   0   0  0  0   0   0   0  0 | 1  1  1  0  0  0   0  0   0  0   0  0  0
oo..........2oo..........3oo..........5oo..........&#x  |  1  1   0   0   0   0  0   0   0   0  0  0 |   * 120   *   *  *   *  *   *   *   *   *   *   *   *   *   *   *   *   *   *   *  *   *  * |  0  0   2  1   0  0   0   0   0   0  0   0  0   0   0   0   0   0   0   0   0   0   0  0  0   0   0   0  0 | 0  1  2  0  0  0   0  0   0  0   0  0  0
.oo.........2.oo.........3.oo.........5.oo.........&#x  |  0  1   1   0   0   0  0   0   0   0  0  0 |   *   * 120   *  *   *  *   *   *   *   *   *   *   *   *   *   *   *   *   *   *  *   *  * |  0  0   0  1   2  0   0   0   0   0  0   0  0   0   0   0   0   0   0   0   0   0   0  0  0   0   0   0  0 | 0  0  2  1  0  0   0  0   0  0   0  0  0
............ ............ ..x......... ............     |  0  0   2   0   0   0  0   0   0   0  0  0 |   *   *   * 120  *   *  *   *   *   *   *   *   *   *   *   *   *   *   *   *   *  *   *  * |  0  0   0  0   1  1   0   1   0   0  0   0  0   0   0   0   0   0   0   0   0   0   0  0  0   0   0   0  0 | 0  0  1  1  1  0   0  0   0  0   0  0  0
............ ............ ............ ..x.........     |  0  0   2   0   0   0  0   0   0   0  0  0 |   *   *   *   * 60   *  *   *   *   *   *   *   *   *   *   *   *   *   *   *   *  *   *  * |  0  0   0  1   0  0   0   0   2   0  0   0  0   0   0   0   0   0   0   0   0   0   0  0  0   0   0   0  0 | 0  0  2  0  0  1   0  0   0  0   0  0  0
..oo........2..oo........3..oo........5..oo........&#x  |  0  0   1   1   0   0  0   0   0   0  0  0 |   *   *   *   *  * 240  *   *   *   *   *   *   *   *   *   *   *   *   *   *   *  *   *  * |  0  0   0  0   0  0   1   1   1   0  0   0  0   0   0   0   0   0   0   0   0   0   0  0  0   0   0   0  0 | 0  0  1  0  1  1   0  0   0  0   0  0  0
............ ...x........ ............ ............     |  0  0   0   2   0   0  0   0   0   0  0  0 |   *   *   *   *  *   * 60   *   *   *   *   *   *   *   *   *   *   *   *   *   *  *   *  * |  0  0   0  0   0  0   2   0   0   0  1   0  0   0   0   0   0   0   0   0   0   0   0  0  0   0   0   0  0 | 0  0  0  0  2  1   0  0   0  0   0  0  0
...oo.......2...oo.......3...oo.......5...oo.......&#x  |  0  0   0   1   1   0  0   0   0   0  0  0 |   *   *   *   *  *   *  * 240   *   *   *   *   *   *   *   *   *   *   *   *   *  *   *  * |  0  0   0  0   0  0   0   1   0   1  0   1  0   0   0   0   0   0   0   0   0   0   0  0  0   0   0   0  0 | 0  0  1  0  1  0   1  0   0  0   0  0  0
...o.o......2...o.o......3...o.o......5...o.o......&#x  |  0  0   0   1   0   1  0   0   0   0  0  0 |   *   *   *   *  *   *  *   * 120   *   *   *   *   *   *   *   *   *   *   *   *  *   *  * |  0  0   0  0   0  0   0   0   0   0  1   2  0   0   0   0   0   0   0   0   0   0   0  0  0   0   0   0  0 | 0  0  0  0  2  0   1  0   0  0   0  0  0
............ ............ ............ ....x.......     |  0  0   0   0   2   0  0   0   0   0  0  0 |   *   *   *   *  *   *  *   *   * 120   *   *   *   *   *   *   *   *   *   *   *  *   *  * |  0  0   0  0   0  0   0   0   0   1  0   0  1   0   1   0   0   0   0   0   0   0   0  0  0   0   0   0  0 | 0  0  1  0  0  0   1  1   0  0   0  0  0
....oo......2....oo......3....oo......5....oo......&#x  |  0  0   0   0   1   1  0   0   0   0  0  0 |   *   *   *   *  *   *  *   *   *   * 240   *   *   *   *   *   *   *   *   *   *  *   *  * |  0  0   0  0   0  0   0   0   0   0  0   1  0   1   1   0   0   0   0   0   0   0   0  0  0   0   0   0  0 | 0  0  0  0  1  0   1  1   0  0   0  0  0
.....oo.....2.....oo.....3.....oo.....5.....oo.....&#x  |  0  0   0   0   0   1  1   0   0   0  0  0 |   *   *   *   *  *   *  *   *   *   *   * 120   *   *   *   *   *   *   *   *   *  *   *  * |  0  0   0  0   0  0   0   0   0   0  1   0  0   0   0   0   2   0   0   0   0   0   0  0  0   0   0   0  0 | 0  0  0  0  2  0   0  0   1  0   0  0  0
.....o.o....2.....o.o....3.....o.o....5.....o.o....&#x  |  0  0   0   0   0   1  0   1   0   0  0  0 |   *   *   *   *  *   *  *   *   *   *   *   * 240   *   *   *   *   *   *   *   *  *   *  * |  0  0   0  0   0  0   0   0   0   0  0   0  0   1   0   1   1   0   0   0   0   0   0  0  0   0   0   0  0 | 0  0  0  0  1  0   0  1   1  0   0  0  0
......oo....2......oo....3......oo....5......oo....&#x  |  0  0   0   0   0   0  1   1   0   0  0  0 |   *   *   *   *  *   *  *   *   *   *   *   *   * 240   *   *   *   *   *   *   *  *   *  * |  0  0   0  0   0  0   0   0   0   0  0   0  0   0   0   0   1   1   1   0   0   0   0  0  0   0   0   0  0 | 0  0  0  0  1  0   0  0   1  1   0  0  0
............ ............ .......x.... ............     |  0  0   0   0   0   0  0   2   0   0  0  0 |   *   *   *   *  *   *  *   *   *   *   *   *   *   * 120   *   *   *   *   *   *  *   *  * |  0  0   0  0   0  0   0   0   0   0  0   0  0   1   0   0   0   0   0   1   1   0   0  0  0   0   0   0  0 | 0  0  0  0  1  0   0  1   0  0   1  0  0
............ ............ ............ .......x....     |  0  0   0   0   0   0  0   2   0   0  0  0 |   *   *   *   *  *   *  *   *   *   *   *   *   *   *   * 120   *   *   *   *   *  *   *  * |  0  0   0  0   0  0   0   0   0   0  0   0  0   0   0   1   0   0   1   0   0   1   0  0  0   0   0   0  0 | 0  0  0  0  0  0   0  1   1  1   0  0  0
.......oo...2.......oo...3.......oo...5.......oo...&#x  |  0  0   0   0   0   0  0   1   1   0  0  0 |   *   *   *   *  *   *  *   *   *   *   *   *   *   *   *   * 240   *   *   *   *  *   *  * |  0  0   0  0   0  0   0   0   0   0  0   0  0   0   0   0   0   1   0   1   0   0   1  0  0   0   0   0  0 | 0  0  0  0  1  0   0  0   0  1   1  0  0
.......o.o..2.......o.o..3.......o.o..5.......o.o..&#x  |  0  0   0   0   0   0  0   1   0   1  0  0 |   *   *   *   *  *   *  *   *   *   *   *   *   *   *   *   *   * 240   *   *   *  *   *  * |  0  0   0  0   0  0   0   0   0   0  0   0  0   0   0   0   0   0   0   0   1   1   1  0  0   0   0   0  0 | 0  0  0  0  0  0   0  1   0  1   1  0  0
............ ........x... ............ ............     |  0  0   0   0   0   0  0   0   2   0  0  0 |   *   *   *   *  *   *  *   *   *   *   *   *   *   *   *   *   *   * 120   *   *  *   *  * |  0  0   0  0   0  0   0   0   0   0  0   0  0   0   0   0   0   1   0   0   0   0   0  1  0   1   0   0  0 | 0  0  0  0  1  0   0  0   0  1   0  1  0
........oo..2........oo..3........oo..5........oo..&#x  |  0  0   0   0   0   0  0   0   1   1  0  0 |   *   *   *   *  *   *  *   *   *   *   *   *   *   *   *   *   *   *   * 120   *  *   *  * |  0  0   0  0   0  0   0   0   0   0  0   0  0   0   0   0   0   0   0   0   0   0   2  0  1   0   0   0  0 | 0  0  0  0  0  0   0  0   0  2   1  0  0
........o..o2........o..o3........o..o5........o..o&#x  |  0  0   0   0   0   0  0   0   1   0  0  1 |   *   *   *   *  *   *  *   *   *   *   *   *   *   *   *   *   *   *   *   * 120  *   *  * |  0  0   0  0   0  0   0   0   0   0  0   0  0   0   0   0   0   0   0   0   0   0   0  0  1   2   0   0  0 | 0  0  0  0  0  0   0  0   0  2   0  1  0
.........x.. ............ ............ ............     |  0  0   0   0   0   0  0   0   0   2  0  0 |   *   *   *   *  *   *  *   *   *   *   *   *   *   *   *   *   *   *   *   *   * 60   *  * |  0  0   0  0   0  0   0   0   0   0  0   0  0   0   0   0   0   0   0   0   0   0   0  0  1   0   2   0  0 | 0  0  0  0  0  0   0  0   0  2   0  0  1
.........oo.2.........oo.3.........oo.5.........oo.&#x  |  0  0   0   0   0   0  0   0   0   1  1  0 |   *   *   *   *  *   *  *   *   *   *   *   *   *   *   *   *   *   *   *   *   *  * 240  * |  0  0   0  0   0  0   0   0   0   0  0   0  0   0   0   0   0   0   0   0   0   1   0  0  0   0   1   1  0 | 0  0  0  0  0  0   0  1   0  1   0  0  1
............ ............ ..........x. ............     |  0  0   0   0   0   0  0   0   0   0  2  0 |   *   *   *   *  *   *  *   *   *   *   *   *   *   *   *   *   *   *   *   *   *  *   * 60 |  0  0   0  0   0  0   0   0   0   0  0   0  0   0   0   0   0   0   0   0   0   0   0  0  0   0   0   2  1 | 0  0  0  0  0  0   0  2   0  0   0  0  1
--------------------------------------------------------+--------------------------------------------+---------------------------------------------------------------------------------------------+------------------------------------------------------------------------------------------------------------+-----------------------------------------
............ o...........3x........... ............     |  3  0   0   0   0   0  0   0   0   0  0  0 |   3   0   0   0  0   0  0   0   0   0   0   0   0   0   0   0   0   0   0   0   0  0   0  0 | 40  *   *  *   *  *   *   *   *   *  *   *  *   *   *   *   *   *   *   *   *   *   *  *  *   *   *   *  * | 1  1  0  0  0  0   0  0   0  0   0  0  0
............ ............ x...........5o...........     |  5  0   0   0   0   0  0   0   0   0  0  0 |   5   0   0   0  0   0  0   0   0   0   0   0   0   0   0   0   0   0   0   0   0  0   0  0 |  * 24   *  *   *  *   *   *   *   *  *   *  *   *   *   *   *   *   *   *   *   *   *  *  *   *   *   *  * | 1  0  1  0  0  0   0  0   0  0   0  0  0
............ ............ xo.......... ............&#x  |  2  1   0   0   0   0  0   0   0   0  0  0 |   1   2   0   0  0   0  0   0   0   0   0   0   0   0   0   0   0   0   0   0   0  0   0  0 |  *  * 120  *   *  *   *   *   *   *  *   *  *   *   *   *   *   *   *   *   *   *   *  *  *   *   *   *  * | 0  1  1  0  0  0   0  0   0  0   0  0  0
............ ............ ............ ofx.........&#xt |  1  2   2   0   0   0  0   0   0   0  0  0 |   0   2   2   0  1   0  0   0   0   0   0   0   0   0   0   0   0   0   0   0   0  0   0  0 |  *  *   * 60   *  *   *   *   *   *  *   *  *   *   *   *   *   *   *   *   *   *   *  *  *   *   *   *  * | 0  0  2  0  0  0   0  0   0  0   0  0  0
............ ............ .ox......... ............&#x  |  0  1   2   0   0   0  0   0   0   0  0  0 |   0   0   2   1  0   0  0   0   0   0   0   0   0   0   0   0   0   0   0   0   0  0   0  0 |  *  *   *  * 120  *   *   *   *   *  *   *  *   *   *   *   *   *   *   *   *   *   *  *  *   *   *   *  * | 0  0  1  1  0  0   0  0   0  0   0  0  0
............ ..o.........3..x......... ............     |  0  0   3   0   0   0  0   0   0   0  0  0 |   0   0   0   3  0   0  0   0   0   0   0   0   0   0   0   0   0   0   0   0   0  0   0  0 |  *  *   *  *   * 40   *   *   *   *  *   *  *   *   *   *   *   *   *   *   *   *   *  *  *   *   *   *  * | 0  0  0  1  1  0   0  0   0  0   0  0  0
............ ..ox........ ............ ............&#x  |  0  0   1   2   0   0  0   0   0   0  0  0 |   0   0   0   0  0   2  1   0   0   0   0   0   0   0   0   0   0   0   0   0   0  0   0  0 |  *  *   *  *   *  * 120   *   *   *  *   *  *   *   *   *   *   *   *   *   *   *   *  *  *   *   *   *  * | 0  0  0  0  1  1   0  0   0  0   0  0  0
............ ............ ..xfo....... ............&#xt |  0  0   2   2   1   0  0   0   0   0  0  0 |   0   0   0   1  0   2  0   2   0   0   0   0   0   0   0   0   0   0   0   0   0  0   0  0 |  *  *   *  *   *  *   * 120   *   *  *   *  *   *   *   *   *   *   *   *   *   *   *  *  *   *   *   *  * | 0  0  1  0  1  0   0  0   0  0   0  0  0
............ ............ ............ ..xo........&#x  |  0  0   2   1   0   0  0   0   0   0  0  0 |   0   0   0   0  1   2  0   0   0   0   0   0   0   0   0   0   0   0   0   0   0  0   0  0 |  *  *   *  *   *  *   *   * 120   *  *   *  *   *   *   *   *   *   *   *   *   *   *  *  *   *   *   *  * | 0  0  1  0  0  1   0  0   0  0   0  0  0
............ ............ ............ ...ox.......&#x  |  0  0   0   1   2   0  0   0   0   0  0  0 |   0   0   0   0  0   0  0   2   0   1   0   0   0   0   0   0   0   0   0   0   0  0   0  0 |  *  *   *  *   *  *   *   *   * 120  *   *  *   *   *   *   *   *   *   *   *   *   *  *  *   *   *   *  * | 0  0  1  0  0  0   1  0   0  0   0  0  0
............ ...x.fo..... ............ ............&#xt |  0  0   0   2   0   2  1   0   0   0  0  0 |   0   0   0   0  0   0  1   0   2   0   0   2   0   0   0   0   0   0   0   0   0  0   0  0 |  *  *   *  *   *  *   *   *   *   * 60   *  *   *   *   *   *   *   *   *   *   *   *  *  *   *   *   *  * | 0  0  0  0  2  0   0  0   0  0   0  0  0
...ooo......2...ooo......3...ooo......5...ooo......&#x  |  0  0   0   1   1   1  0   0   0   0  0  0 |   0   0   0   0  0   0  0   1   1   0   1   0   0   0   0   0   0   0   0   0   0  0   0  0 |  *  *   *  *   *  *   *   *   *   *  * 240  *   *   *   *   *   *   *   *   *   *   *  *  *   *   *   *  * | 0  0  0  0  1  0   1  0   0  0   0  0  0
............ ............ ....o.......5....x.......     |  0  0   0   0   5   0  0   0   0   0  0  0 |   0   0   0   0  0   0  0   0   0   5   0   0   0   0   0   0   0   0   0   0   0  0   0  0 |  *  *   *  *   *  *   *   *   *   *  *   * 24   *   *   *   *   *   *   *   *   *   *  *  *   *   *   *  * | 0  0  1  0  0  0   0  1   0  0   0  0  0
............ ............ ....of.x.... ............&#xt |  0  0   0   0   1   2  0   2   0   0  0  0 |   0   0   0   0  0   0  0   0   0   0   2   0   2   0   1   0   0   0   0   0   0  0   0  0 |  *  *   *  *   *  *   *   *   *   *  *   *  * 120   *   *   *   *   *   *   *   *   *  *  *   *   *   *  * | 0  0  0  0  1  0   0  1   0  0   0  0  0
............ ............ ............ ....xo......&#x  |  0  0   0   0   2   1  0   0   0   0  0  0 |   0   0   0   0  0   0  0   0   0   1   2   0   0   0   0   0   0   0   0   0   0  0   0  0 |  *  *   *  *   *  *   *   *   *   *  *   *  *   * 120   *   *   *   *   *   *   *   *  *  *   *   *   *  * | 0  0  0  0  0  0   1  1   0  0   0  0  0
............ ............ ............ .....o.x....&#x  |  0  0   0   0   0   1  0   2   0   0  0  0 |   0   0   0   0  0   0  0   0   0   0   0   0   2   0   0   1   0   0   0   0   0  0   0  0 |  *  *   *  *   *  *   *   *   *   *  *   *  *   *   * 120   *   *   *   *   *   *   *  *  *   *   *   *  * | 0  0  0  0  0  0   0  1   1  0   0  0  0
.....ooo....2.....ooo....3.....ooo....5.....ooo....&#x  |  0  0   0   0   0   1  1   1   0   0  0  0 |   0   0   0   0  0   0  0   0   0   0   0   1   1   1   0   0   0   0   0   0   0  0   0  0 |  *  *   *  *   *  *   *   *   *   *  *   *  *   *   *   * 240   *   *   *   *   *   *  *  *   *   *   *  * | 0  0  0  0  1  0   0  0   1  0   0  0  0
............ ......ofx... ............ ............&#xt |  0  0   0   0   0   0  1   2   2   0  0  0 |   0   0   0   0  0   0  0   0   0   0   0   0   0   2   0   0   2   0   1   0   0  0   0  0 |  *  *   *  *   *  *   *   *   *   *  *   *  *   *   *   *   * 120   *   *   *   *   *  *  *   *   *   *  * | 0  0  0  0  1  0   0  0   0  1   0  0  0
............ ............ ............ ......ox....&#x  |  0  0   0   0   0   0  1   2   0   0  0  0 |   0   0   0   0  0   0  0   0   0   0   0   0   0   2   0   1   0   0   0   0   0  0   0  0 |  *  *   *  *   *  *   *   *   *   *  *   *  *   *   *   *   *   * 120   *   *   *   *  *  *   *   *   *  * | 0  0  0  0  0  0   0  0   1  1   0  0  0
............ ............ .......xo... ............&#x  |  0  0   0   0   0   0  0   2   1   0  0  0 |   0   0   0   0  0   0  0   0   0   0   0   0   0   0   1   0   2   0   0   0   0  0   0  0 |  *  *   *  *   *  *   *   *   *   *  *   *  *   *   *   *   *   *   * 120   *   *   *  *  *   *   *   *  * | 0  0  0  0  1  0   0  0   0  0   1  0  0
............ ............ .......x.o.. ............&#x  |  0  0   0   0   0   0  0   2   0   1  0  0 |   0   0   0   0  0   0  0   0   0   0   0   0   0   0   1   0   0   2   0   0   0  0   0  0 |  *  *   *  *   *  *   *   *   *   *  *   *  *   *   *   *   *   *   *   * 120   *   *  *  *   *   *   *  * | 0  0  0  0  0  0   0  1   0  0   1  0  0
............ ............ ............ .......x.fo.&#x  |  0  0   0   0   0   0  0   2   0   2  1  0 |   0   0   0   0  0   0  0   0   0   0   0   0   0   0   0   1   0   2   0   0   0  0   2  0 |  *  *   *  *   *  *   *   *   *   *  *   *  *   *   *   *   *   *   *   *   * 120   *  *  *   *   *   *  * | 0  0  0  0  0  0   0  1   0  1   0  0  0
.......ooo..2.......ooo..3.......ooo..5.......ooo..&#x  |  0  0   0   0   0   0  0   1   1   1  0  0 |   0   0   0   0  0   0  0   0   0   0   0   0   0   0   0   0   1   1   0   1   0  0   0  0 |  *  *   *  *   *  *   *   *   *   *  *   *  *   *   *   *   *   *   *   *   *   * 240  *  *   *   *   *  * | 0  0  0  0  0  0   0  0   0  1   1  0  0
............ ........x...3........o... ............     |  0  0   0   0   0   0  0   0   3   0  0  0 |   0   0   0   0  0   0  0   0   0   0   0   0   0   0   0   0   0   0   3   0   0  0   0  0 |  *  *   *  *   *  *   *   *   *   *  *   *  *   *   *   *   *   *   *   *   *   *   * 40  *   *   *   *  * | 0  0  0  0  1  0   0  0   0  0   0  1  0
........fx.o ............ ............ ............&#xt |  0  0   0   0   0   0  0   0   2   2  0  1 |   0   0   0   0  0   0  0   0   0   0   0   0   0   0   0   0   0   0   0   2   2  1   0  0 |  *  *   *  *   *  *   *   *   *   *  *   *  *   *   *   *   *   *   *   *   *   *   *  * 60   *   *   *  * | 0  0  0  0  0  0   0  0   0  2   0  0  0  tower J-I-k
............ ........x..o ............ ............&#x  |  0  0   0   0   0   0  0   0   2   0  0  1 |   0   0   0   0  0   0  0   0   0   0   0   0   0   0   0   0   0   0   1   0   2  0   0  0 |  *  *   *  *   *  *   *   *   *   *  *   *  *   *   *   *   *   *   *   *   *   *   *  *  * 120   *   *  * | 0  0  0  0  0  0   0  0   0  1   0  1  0
.........xo. ............ ............ ............&#x  |  0  0   0   0   0   0  0   0   0   2  1  0 |   0   0   0   0  0   0  0   0   0   0   0   0   0   0   0   0   0   0   0   0   0  1   2  0 |  *  *   *  *   *  *   *   *   *   *  *   *  *   *   *   *   *   *   *   *   *   *   *  *  *   * 120   *  * | 0  0  0  0  0  0   0  0   0  1   0  0  1
............ ............ .........ox. ............&#x  |  0  0   0   0   0   0  0   0   0   1  2  0 |   0   0   0   0  0   0  0   0   0   0   0   0   0   0   0   0   0   0   0   0   0  0   2  1 |  *  *   *  *   *  *   *   *   *   *  *   *  *   *   *   *   *   *   *   *   *   *   *  *  *   *   * 120  * | 0  0  0  0  0  0   0  1   0  0   0  0  1
............ ............ ..........x.5..........o.     |  0  0   0   0   0   0  0   0   0   0  5  0 |   0   0   0   0  0   0  0   0   0   0   0   0   0   0   0   0   0   0   0   0   0  0   0  5 |  *  *   *  *   *  *   *   *   *   *  *   *  *   *   *   *   *   *   *   *   *   *   *  *  *   *   *   * 12 | 0  0  0  0  0  0   0  2   0  0   0  0  0
--------------------------------------------------------+--------------------------------------------+---------------------------------------------------------------------------------------------+------------------------------------------------------------------------------------------------------------+-----------------------------------------
............ o...........3x...........5o...........      30  0   0   0   0   0  0   0   0   0  0  0 |  60   0   0   0  0   0  0   0   0   0   0   0   0   0   0   0   0   0   0   0   0  0   0  0 | 20 12   0  0   0  0   0   0   0   0  0   0  0   0   0   0   0   0   0   0   0   0   0  0  0   0   0   0  0 | 2  *  *  *  *  *   *  *   *  *   *  *  *
............ oo..........3xo.......... ............&#x    3  1   0   0   0   0  0   0   0   0  0  0 |   3   3   0   0  0   0  0   0   0   0   0   0   0   0   0   0   0   0   0   0   0  0   0  0 |  1  0   3  0   0  0   0   0   0   0  0   0  0   0   0   0   0   0   0   0   0   0   0  0  0   0   0   0  0 | * 40  *  *  *  *   *  *   *  *   *  *  *
............ ............ xoxfo.......5ofxox.......&#xt   5  5  10   5   5   0  0   0   0   0  0  0 |   5  10  10   5  5  10  0  10   0   5   0   0   0   0   0   0   0   0   0   0   0  0   0  0 |  0  1   5  5   5  0   0   5   5   5  0   0  1   0   0   0   0   0   0   0   0   0   0  0  0   0   0   0  0 | *  * 24  *  *  *   *  *   *  *   *  *  *
............ .oo.........3.ox......... ............&#x    0  1   3   0   0   0  0   0   0   0  0  0 |   0   0   3   3  0   0  0   0   0   0   0   0   0   0   0   0   0   0   0   0   0  0   0  0 |  0  0   0  0   3  1   0   0   0   0  0   0  0   0   0   0   0   0   0   0   0   0   0  0  0   0   0   0  0 | *  *  * 40  *  *   *  *   *  *   *  *  *
............ ..oxFfofx...3..xfofFxo... ............&#xt   0  0   3   6   3   6  3   6   3   0  0  0 |   0   0   0   3  0   6  3   6   6   0   6   6   6   6   3   0   6   0   3   0   0  0   0  0 |  0  0   0  0   0  1   3   3   0   0  3   6  0   3   0   0   6   3   0   3   0   0   0  1  0   0   0   0  0 | *  *  *  * 40  *   *  *   *  *   *  *  *
............ ..ox........ ............ ..xo........&#x    0  0   2   2   0   0  0   0   0   0  0  0 |   0   0   0   0  1   4  1   0   0   0   0   0   0   0   0   0   0   0   0   0   0  0   0  0 |  0  0   0  0   0  0   2   0   2   0  0   0  0   0   0   0   0   0   0   0   0   0   0  0  0   0   0   0  0 | *  *  *  *  * 60   *  *   *  *   *  *  *
............ ............ ............ ...oxo......&#x    0  0   0   1   2   1  0   0   0   0  0  0 |   0   0   0   0  0   0  0   2   1   1   2   0   0   0   0   0   0   0   0   0   0  0   0  0 |  0  0   0  0   0  0   0   0   0   1  0   2  0   0   1   0   0   0   0   0   0   0   0  0  0   0   0   0  0 | *  *  *  *  *  * 120  *   *  *   *  *  *
............ ............ ....of.x.ox.5....xo.x.fo.&#xt   0  0   0   0   5   5  0  10   0   5  5  0 |   0   0   0   0  0   0  0   0   0   5  10   0  10   0   5   5   0  10   0   0   0  0  10  5 |  0  0   0  0   0  0   0   0   0   0  0   0  1   5   5   5   0   0   0   0   5   5   0  0  0   0   0   5  1 | *  *  *  *  *  *   * 24   *  *   *  *  *
............ ............ ............ .....oox....&#x    0  0   0   0   0   1  1   2   0   0  0  0 |   0   0   0   0  0   0  0   0   0   0   0   1   2   2   0   1   0   0   0   0   0  0   0  0 |  0  0   0  0   0  0   0   0   0   0  0   0  0   0   0   1   2   0   1   0   0   0   0  0  0   0   0   0  0 | *  *  *  *  *  *   *  * 120  *   *  *  *
......VFfxoo ......ofxFVo ............ ......oxFfoV&#zx   0  0   0   0   0   0  2   8   8   8  2  2 |   0   0   0   0  0   0  0   0   0   0   0   0   0   8   0   4   8   8   4   8   8  4   8  0 |  0  0   0  0   0  0   0   0   0   0  0   0  0   0   0   0   0   4   4   0   0   4   8  0  4   4   4   0  0 | *  *  *  *  *  *   *  *   * 30   *  *  *
............ ............ .......xoo.. ............&#x    0  0   0   0   0   0  0   2   1   1  0  0 |   0   0   0   0  0   0  0   0   0   0   0   0   0   0   1   0   2   2   0   1   0  0   0  0 |  0  0   0  0   0  0   0   0   0   0  0   0  0   0   0   0   0   0   0   1   1   0   2  0  0   0   0   0  0 | *  *  *  *  *  *   *  *   *  * 120  *  *
............ ........x..o3........o..o ............&#x    0  0   0   0   0   0  0   0   3   0  0  1 |   0   0   0   0  0   0  0   0   0   0   0   0   0   0   0   0   0   0   3   0   3  0   0  0 |  0  0   0  0   0  0   0   0   0   0  0   0  0   0   0   0   0   0   0   0   0   0   0  1  0   3   0   0  0 | *  *  *  *  *  *   *  *   *  *   * 40  *
.........xo. ............ .........ox. ............&#x    0  0   0   0   0   0  0   0   0   2  2  0 |   0   0   0   0  0   0  0   0   0   0   0   0   0   0   0   0   0   0   0   0   0  1   4  1 |  0  0   0  0   0  0   0   0   0   0  0   0  0   0   0   0   0   0   0   0   0   0   0  0  0   0   2   2  0 | *  *  *  *  *  *   *  *   *  *   *  * 60

xooC|ofBx|xF|oFVf|xFFf|oVBo 5 oxCo|foxB|xF|FofV|FxfF|VooB 2 Coxo|Bxfo|Fx|VfFo|FfFx|BoVo 5 oCox|xBof|Fx|fVoF|fFxF|oBoV &#zx   → all existing heights = 0
abcd efgh ij klmn opqr stuv   abcd efgh ij klmn opqr stuv   abcd efgh ij klmn opqr stuv   abcd efgh ij klmn opqr stuv
(F=ff=x+f=2x+v, V=F+v=2f=2x+2v, B=fff=F+f=3x+2v, C=B+x=2F=4x+2v)

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