SHORTER
A simple Monte-Carlo-based software written in Fortran, running under
Windows for trying to solve the Eternity
II puzzle in 2007
Two methods allowed :
1 - Random filling of the puzzle, then searching the best solution after
permutations/rotations
2 - Filling according to a pre-established path with backtracking, then
when its stops finding solutions, filling at random the empty places and
finally optimizing by permutations/rotations.
Best matching-edge results on the 16x16 puzzle : 459/480 for method 2 and
438/480 by method 1. This is considerably below the winner score of 467.
The 6x6 is solved in 0.06 seconds and the 12x6 in 2 seconds. The 16x16 is
never solved...
Find below the best results for the 6x6, the 12x6
and the 16x16 puzzles
Files for a test on a 6x6 puzzle : shorter36.zip
Containing the executable shorter.exe, the Fortran source code shorter.f,
the instructions file config-shorter.txt, the file describing the puzzle
pieces e2pieces.txt, the file describing the filling order order.txt, a
file containing hints e2hints.txt and a result file eternity.imp shown
below with maximum verbosity :
Open the source code (full of explanations) as a manual for understanding
the meaning of the instructions.
=================================================================
SHORTER version 4.04 by A. Le Bail - 2007 - alb@cristal.org
=================================================================
21-Mar-2019 9 hour 33 min 29 Sec
Title
Puzzle data and calc.
type
2 0
Tolerance on
error
8
Size
nx*ny
6 6
Total CPU time asked (hours)
200.0000
Max number of
moves
200000.000000000
Verbosity
2
Proportions of perm and rot
0.5000000
Damping
factor
4.9999999E-05
nch (piece at
1,1)
5
nscar
0
level2
parameter
6 100000.0
level3
parameter
7 500000.0
limref
36
ncou
1
nbi
2
Searching for the puzzle 36
Number of different figures + corners 8
hint piece N°
edges,pieces,etc... 1
2
1 1.
Total number of placed pieces
: 2
Table with all pieces :
1
2 3 4 5 6
7 8 9 10 11 12 13
14 15 16
1 3 15
0 0 0 0
2 0 0
0 0 0 0
3 0 0
0 0 0 0
4 0 0
0 0 0 0
5 0 0
0 0 0 0
6 0 0
0 0 0 0
Shared edges
: 1
Bad edges
: 0
edges,pieces,etc... 2
3
1 2.
Total number of placed pieces
: 3
Table with all pieces :
1
2 3 4 5 6
7 8 9 10 11 12 13
14 15 16
1 3 15 10
0 0 0
2 0 0
0 0 0 0
3 0 0
0 0 0 0
4 0 0
0 0 0 0
5 0 0
0 0 0 0
6 0 0
0 0 0 0
Shared edges
: 2
Bad edges
: 0
edges,pieces,etc... 3
4
1 3.
Total number of placed pieces
: 4
Table with all pieces :
1
2 3 4 5 6
7 8 9 10 11 12 13
14 15 16
1 3 15 10
16 0 0
2 0 0
0 0 0 0
3 0 0
0 0 0 0
4 0 0
0 0 0 0
5 0 0
0 0 0 0
6 0 0
0 0 0 0
Shared edges
: 3
Bad edges
: 0
edges,pieces,etc... 4
5
1 4.
Total number of placed pieces
: 5
Table with all pieces :
1
2 3 4 5 6
7 8 9 10 11 12 13
14 15 16
1 3 15 10
16 9 0
2 0 0
0 0 0 0
3 0 0
0 0 0 0
4 0 0
0 0 0 0
5 0 0
0 0 0 0
6 0 0
0 0 0 0
Shared edges
: 4
Bad edges
: 0
edges,pieces,etc... 5
6
1 5.
Total number of placed pieces
: 6
Table with all pieces :
1
2 3 4 5 6
7 8 9 10 11 12 13
14 15 16
1 3 15 10
16 9 1
2 0 0
0 0 0 0
3 0 0
0 0 0 0
4 0 0
0 0 0 0
5 0 0
0 0 0 0
6 0 0
0 0 0 0
Shared edges
: 5
Bad edges
: 0
edges,pieces,etc... 6
7
1 6.
Total number of placed pieces
: 7
Table with all pieces :
1
2 3 4 5 6
7 8 9 10 11 12 13
14 15 16
1 3 15 10
16 9 1
2 0 0
0 0 0 17
3 0 0
0 0 0 0
4 0 0
0 0 0 0
5 0 0
0 0 0 0
6 0 0
0 0 0 0
Shared edges
: 6
Bad edges
: 0
edges,pieces,etc... 8
8
1 7.
Total number of placed pieces
: 8
Table with all pieces :
1
2 3 4 5 6
7 8 9 10 11 12 13
14 15 16
1 3 15 10
16 9 1
2 0 0
0 0 27 17
3 0 0
0 0 0 0
4 0 0
0 0 0 0
5 0 0
0 0 0 0
6 0 0
0 0 0 0
Shared edges
: 8
Bad edges
: 0
edges,pieces,etc... 10
9
1 8.
Total number of placed pieces
: 9
Table with all pieces :
1
2 3 4 5 6
7 8 9 10 11 12 13
14 15 16
1 3 15 10
16 9 1
2 0 0 0
32 27 17
3 0 0
0 0 0 0
4 0 0
0 0 0 0
5 0 0
0 0 0 0
6 0 0
0 0 0 0
Shared edges
: 10
Bad edges
: 0
edges,pieces,etc... 12
10
1 9.
Total number of placed pieces
: 10
Table with all pieces :
1
2 3 4 5 6
7 8 9 10 11 12 13
14 15 16
1 3 15 10
16 9 1
2 0 0 25
32 27 17
3 0 0
0 0 0 0
4 0 0
0 0 0 0
5 0 0
0 0 0 0
6 0 0
0 0 0 0
Shared edges
: 12
Bad edges
: 0
edges,pieces,etc... 14
11
1 10.
Total number of placed pieces
: 11
Table with all pieces :
1
2 3 4 5 6
7 8 9 10 11 12 13
14 15 16
1 3 15 10
16 9 1
2 0 34 25 32
27 17
3 0 0
0 0 0 0
4 0 0
0 0 0 0
5 0 0
0 0 0 0
6 0 0
0 0 0 0
Shared edges
: 14
Bad edges
: 0
edges,pieces,etc... 16
12
1 11.
Total number of placed pieces
: 12
Table with all pieces :
1
2 3 4 5 6
7 8 9 10 11 12 13
14 15 16
1 3 15 10
16 9 1
2 5 34 25 32
27 17
3 0 0
0 0 0 0
4 0 0
0 0 0 0
5 0 0
0 0 0 0
6 0 0
0 0 0 0
Shared edges
: 16
Bad edges
: 0
edges,pieces,etc... 17
13
1 12.
Total number of placed pieces
: 13
Table with all pieces :
1
2 3 4 5 6
7 8 9 10 11 12 13
14 15 16
1 3 15 10
16 9 1
2 5 34 25 32
27 17
3 7 0
0 0 0 0
4 0 0
0 0 0 0
5 0 0
0 0 0 0
6 0 0
0 0 0 0
Shared edges
: 17
Bad edges
: 0
edges,pieces,etc... 19
14
1 13.
Total number of placed pieces
: 14
Table with all pieces :
1
2 3 4 5 6
7 8 9 10 11 12 13
14 15 16
1 3 15 10
16 9 1
2 5 34 25 32
27 17
3 7 24
0 0 0 0
4 0 0
0 0 0 0
5 0 0
0 0 0 0
6 0 0
0 0 0 0
Shared edges
: 19
Bad edges
: 0
edges,pieces,etc... 21
15
1 14.
Total number of placed pieces
: 15
Table with all pieces :
1
2 3 4 5 6
7 8 9 10 11 12 13
14 15 16
1 3 15 10
16 9 1
2 5 34 25 32
27 17
3 7 24 29
0 0 0
4 0 0
0 0 0 0
5 0 0
0 0 0 0
6 0 0
0 0 0 0
Shared edges
: 21
Bad edges
: 0
edges,pieces,etc... 23
16
1 15.
Total number of placed pieces
: 16
Table with all pieces :
1
2 3 4 5 6
7 8 9 10 11 12 13
14 15 16
1 3 15 10
16 9 1
2 5 34 25 32
27 17
3 7 24 29
36 0 0
4 0 0
0 0 0 0
5 0 0
0 0 0 0
6 0 0
0 0 0 0
Shared edges
: 23
Bad edges
: 0
edges,pieces,etc... 25
17
1 16.
Total number of placed pieces
: 17
Table with all pieces :
1
2 3 4 5 6
7 8 9 10 11 12 13
14 15 16
1 3 15 10
16 9 1
2 5 34 25 32
27 17
3 7 24 29 36
31 0
4 0 0
0 0 0 0
5 0 0
0 0 0 0
6 0 0
0 0 0 0
Shared edges
: 25
Bad edges
: 0
edges,pieces,etc... 27
18
1 17.
Total number of placed pieces
: 18
Table with all pieces :
1
2 3 4 5 6
7 8 9 10 11 12 13
14 15 16
1 3 15 10
16 9 1
2 5 34 25 32
27 17
3 7 24 29 36
31 19
4 0 0
0 0 0 0
5 0 0
0 0 0 0
6 0 0
0 0 0 0
Shared edges
: 27
Bad edges
: 0
edges,pieces,etc... 28
19
1 18.
Total number of placed pieces
: 19
Table with all pieces :
1
2 3 4 5 6
7 8 9 10 11 12 13
14 15 16
1 3 15 10
16 9 1
2 5 34 25 32
27 17
3 7 24 29 36
31 19
4 0 0
0 0 0 14
5 0 0
0 0 0 0
6 0 0
0 0 0 0
Shared edges
: 28
Bad edges
: 0
edges,pieces,etc... 30
20
1 19.
Total number of placed pieces
: 20
Table with all pieces :
1
2 3 4 5 6
7 8 9 10 11 12 13
14 15 16
1 3 15 10
16 9 1
2 5 34 25 32
27 17
3 7 24 29 36
31 19
4 0 0
0 0 35 14
5 0 0
0 0 0 0
6 0 0
0 0 0 0
Shared edges
: 30
Bad edges
: 0
edges,pieces,etc... 32
21
1 20.
Total number of placed pieces
: 21
Table with all pieces :
1
2 3 4 5 6
7 8 9 10 11 12 13
14 15 16
1 3 15 10
16 9 1
2 5 34 25 32
27 17
3 7 24 29 36
31 19
4 0 0 0
22 35 14
5 0 0
0 0 0 0
6 0 0
0 0 0 0
Shared edges
: 32
Bad edges
: 0
edges,pieces,etc... 34
22
1 21.
Total number of placed pieces
: 22
Table with all pieces :
1
2 3 4 5 6
7 8 9 10 11 12 13
14 15 16
1 3 15 10
16 9 1
2 5 34 25 32
27 17
3 7 24 29 36
31 19
4 0 0 30
22 35 14
5 0 0
0 0 0 0
6 0 0
0 0 0 0
Shared edges
: 34
Bad edges
: 0
edges,pieces,etc... 36
23
1 22.
Total number of placed pieces
: 23
Table with all pieces :
1
2 3 4 5 6
7 8 9 10 11 12 13
14 15 16
1 3 15 10
16 9 1
2 5 34 25 32
27 17
3 7 24 29 36
31 19
4 0 21 30 22
35 14
5 0 0
0 0 0 0
6 0 0
0 0 0 0
Shared edges
: 36
Bad edges
: 0
edges,pieces,etc... 38
24
1 37.
Total number of placed pieces
: 24
Table with all pieces :
1
2 3 4 5 6
7 8 9 10 11 12 13
14 15 16
1 3 15 10
16 9 1
2 5 34 25 32
27 17
3 7 24 29 36
31 19
4 6 28 30 33
21 14 if you compare with the previous table you see that
backtracking
5 0 0
0 0 0
0
occurred here
6 0 0
0 0 0 0
Shared edges
: 38
Bad edges
: 0
edges,pieces,etc... 39
25
1 38.
Total number of placed pieces
: 25
Table with all pieces :
1
2 3 4 5 6
7 8 9 10 11 12 13
14 15 16
1 3 15 10
16 9 1
2 5 34 25 32
27 17
3 7 24 29 36
31 19
4 6 28 30 33
21 14
5 13 0
0 0 0 0
6 0 0
0 0 0 0
Shared edges
: 39
Bad edges
: 0
edges,pieces,etc... 41
26
1 39.
Total number of placed pieces
: 26
Table with all pieces :
1
2 3 4 5 6
7 8 9 10 11 12 13
14 15 16
1 3 15 10
16 9 1
2 5 34 25 32
27 17
3 7 24 29 36
31 19
4 6 28 30 33
21 14
5 13 26 0
0 0 0
6 0 0
0 0 0 0
Shared edges
: 41
Bad edges
: 0
edges,pieces,etc... 43
27
1 40.
Total number of placed pieces
: 27
Table with all pieces :
1
2 3 4 5 6
7 8 9 10 11 12 13
14 15 16
1 3 15 10
16 9 1
2 5 34 25 32
27 17
3 7 24 29 36
31 19
4 6 28 30 33
21 14
5 13 26 22
0 0 0
6 0 0
0 0 0 0
Shared edges
: 43
Bad edges
: 0
edges,pieces,etc... 45
28
1 41.
Total number of placed pieces
: 28
Table with all pieces :
1
2 3 4 5 6
7 8 9 10 11 12 13
14 15 16
1 3 15 10
16 9 1
2 5 34 25 32
27 17
3 7 24 29 36
31 19
4 6 28 30 33
21 14
5 13 26 22 35
0 0
6 0 0
0 0 0 0
Shared edges
: 45
Bad edges
: 0
edges,pieces,etc... 47
29
1 85.
Total number of placed pieces
: 29
Table with all pieces :
1
2 3 4 5 6
7 8 9 10 11 12 13
14 15 16
1 3 15 10
16 9 1
2 5 34 25 32
27 17
3 7 24 29 36
31 19
4 6 35 23 33
21 14
5 13 28 26 30
22 0
new
backtracking
6 0 0
0 0 0 0
Shared edges
: 47
Bad edges
: 0
edges,pieces,etc... 49
30
1 1240.
Total number of placed pieces
: 30
Table with all pieces :
1
2 3 4 5 6
7 8 9 10 11 12 13
14 15 16
1 3 15 10
16 9 1
2 5 34 25 32
27 17
3 7 24 29 36
28 8
4 6 35 30 22
33 11
5 13 21 23 31
26
20
backtracking again
6 0 0
0 0 0 0
Shared edges
: 49
Bad edges
: 0
edges,pieces,etc... 50
31
1 9688.
Total number of placed pieces
: 31
Table with all pieces :
1
2 3 4 5 6
7 8 9 10 11 12 13
14 15 16
1 3 15 10
16 9 1
2 12 29 25 32
27 17
3 18 28 21 36
22 20
4 19 35 30 24
31 8
5 11 23 33 26
34
13
backtracking again
6 0 0
0 0 0 2
Shared edges
: 50
Bad edges
: 0
edges,pieces,etc... 52
32
1 9689.
Total number of placed pieces
: 32
Table with all pieces :
1
2 3 4 5 6
7 8 9 10 11 12 13
14 15 16
1 3 15 10
16 9 1
2 12 29 25 32
27 17
3 18 28 21 36
22 20
4 19 35 30 24
31 8
5 11 23 33 26
34 13
6 0 0
0 0 5 2
Shared edges
: 52
Bad edges
: 0
edges,pieces,etc... 54
33
1 9718.
Total number of placed pieces
: 33
Table with all pieces :
1
2 3 4 5 6
7 8 9 10 11 12 13
14 15 16
1 3 15 10
16 9 1
2 12 29 25 32
27 17
3 18 28 21 36
22 20
4 19 35 30 24
31 8
5 11 23 26 33
34
13
6 0 0
0 7 5
4
backtracking
Shared edges
: 54
Bad edges
: 0
edges,pieces,etc... 56
34
1 9719.
Total number of placed pieces
: 34
Table with all pieces :
1
2 3 4 5 6
7 8 9 10 11 12 13
14 15 16
1 3 15 10
16 9 1
2 12 29 25 32
27 17
3 18 28 21 36
22 20
4 19 35 30 24
31 8
5 11 23 26 33
34 13
6 0 0
6 7 5 4
Shared edges
: 56
Bad edges
: 0
edges,pieces,etc... 58
35
1 9720.
Total number of placed pieces
: 35
Table with all pieces :
1
2 3 4 5 6
7 8 9 10 11 12 13
14 15 16
1 3 15 10
16 9 1
2 12 29 25 32
27 17
3 18 28 21 36
22 20
4 19 35 30 24
31 8
5 11 23 26 33
34 13
6 0 14
6 7 5 4
Shared edges
: 58
Bad edges
: 0
edges,pieces,etc... 60
36
1 47066.
Total number of placed pieces
: 36
Table with all pieces :
1
2 3 4 5 6
7 8 9 10 11 12 13
14 15 16
1 3 15 10
12 7 2
2 19 24 28 30
27 6
3 11 22 31 23
26 18
4 14 35 29 33
34 16
5 5 25 32 36
21 9
6 4 13 8
20 17 1
Shared edges
: 60
Bad edges
: 0
edges,pieces,etc... 60
36
1 47066. 4
Total number of placed pieces
: 36
Table with all pieces :
1
2 3 4 5 6
7 8 9 10 11 12 13
14 15 16
1 3 15 10
12 7 2
2 19 24 28 30
27 6
3 11 22 31 23
26 18
4 14 35 29 33
34 16
5 5 25 32 36
21 9
6 4 13 8
20 17
1
Shared edges
: 60
Bad edges
: 0
edges,... 0 1
0 0
===============================================================================
FINAL LIST OF POSITIONS :
===============================================================================
Total number of placed pieces
: 36
Table with all pieces :
1
2 3 4 5 6
7 8 9 10 11 12 13
14 15 16
1 34 20 10 16
25 26
2 15 24 6
3 1 22
3 13 29 4 19
27 11
4 18 33 8
2 35 21
5 7 32
9 5 30 23
6 36 12 31 17
28 14
Shared edges
: 60
Bad edges
: 0
CONGRATULATION !
21-Mar-2019 9 hour 33 min 35 Sec
Total CPU time elapsed in seconds : 6.2500000E-02
Files for a test on the 12x6 puzzle : shorter72.zip
=================================================================
SHORTER version 4.04 by A. Le Bail - 2007 - alb@cristal.org
=================================================================
25-Mar-2019 10 hour 8 min 49 Sec
Title
Puzzle data and calc. type 2 0
Tolerance on error 8
Size nx*ny 12 6
Total CPU time asked (hours) 200.0000
Max number of moves 1000000.00000000
Verbosity 2
Proportions of perm and rot 0.5000000
Damping factor 4.9999999E-06
nch (piece at 1,1) 5
nscar 0
level2 parameter 10 100000.0
level3 parameter 20 500000.0
limref 72
ncou 1
nbi 2
Searching for the puzzle 72
Number of different figures + corners 9
edges,pieces,etc... 1 2 2 1.
Total number of placed pieces : 2
Table with all pieces :
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
1 2 24 0 0 0 0 0 0 0 0 0 0
2 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
4 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
6 0 0 0 0 0 0 0 0 0 0 0 0
Shared edges : 1
Bad edges : 0
edges,pieces,etc... 2 3 2 2.
Total number of placed pieces : 3
Table with all pieces :
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
1 2 24 28 0 0 0 0 0 0 0 0 0
2 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
4 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
6 0 0 0 0 0 0 0 0 0 0 0 0
Shared edges : 2
Bad edges : 0
edges,pieces,etc... 3 4 2 3.
Total number of placed pieces : 4
Table with all pieces :
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
1 2 24 28 14 0 0 0 0 0 0 0 0
2 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
4 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
6 0 0 0 0 0 0 0 0 0 0 0 0
Shared edges : 3
Bad edges : 0
edges,pieces,etc... 4 5 2 4.
Total number of placed pieces : 5
Table with all pieces :
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
1 2 24 28 14 16 0 0 0 0 0 0 0
2 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
4 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
6 0 0 0 0 0 0 0 0 0 0 0 0
Shared edges : 4
Bad edges : 0
edges,pieces,etc... 5 6 2 5.
Total number of placed pieces : 6
Table with all pieces :
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
1 2 24 28 14 16 18 0 0 0 0 0 0
2 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
4 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
6 0 0 0 0 0 0 0 0 0 0 0 0
Shared edges : 5
Bad edges : 0
edges,pieces,etc... 6 7 2 6.
Total number of placed pieces : 7
Table with all pieces :
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
1 2 24 28 14 16 18 31 0 0 0 0 0
2 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
4 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
6 0 0 0 0 0 0 0 0 0 0 0 0
Shared edges : 6
Bad edges : 0
edges,pieces,etc... 7 8 2 7.
Total number of placed pieces : 8
Table with all pieces :
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
1 2 24 28 14 16 18 31 27 0 0 0 0
2 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
4 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
6 0 0 0 0 0 0 0 0 0 0 0 0
Shared edges : 7
Bad edges : 0
edges,pieces,etc... 8 9 2 8.
Total number of placed pieces : 9
Table with all pieces :
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
1 2 24 28 14 16 18 31 27 13 0 0 0
2 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
4 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
6 0 0 0 0 0 0 0 0 0 0 0 0
Shared edges : 8
Bad edges : 0
edges,pieces,etc... 9 10 2 9.
Total number of placed pieces : 10
Table with all pieces :
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
1 2 24 28 14 16 18 31 27 13 21 0 0
2 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
4 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
6 0 0 0 0 0 0 0 0 0 0 0 0
Shared edges : 9
Bad edges : 0
edges,pieces,etc... 10 11 2 10.
Total number of placed pieces : 11
Table with all pieces :
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
1 2 24 28 14 16 18 31 27 13 21 22 0
2 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
4 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
6 0 0 0 0 0 0 0 0 0 0 0 0
Shared edges : 10
Bad edges : 0
edges,pieces,etc... 11 12 2 11.
Total number of placed pieces : 12
Table with all pieces :
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
1 2 24 28 14 16 18 31 27 13 21 22 3
2 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
4 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
6 0 0 0 0 0 0 0 0 0 0 0 0
Shared edges : 11
Bad edges : 0
edges,pieces,etc... 12 13 2 12.
Total number of placed pieces : 13
Table with all pieces :
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
1 2 24 28 14 16 18 31 27 13 21 22 3
2 0 0 0 0 0 0 0 0 0 0 0 8
3 0 0 0 0 0 0 0 0 0 0 0 0
4 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
6 0 0 0 0 0 0 0 0 0 0 0 0
Shared edges : 12
Bad edges : 0
edges,pieces,etc... 14 14 2 13.
Total number of placed pieces : 14
Table with all pieces :
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
1 2 24 28 14 16 18 31 27 13 21 22 3
2 0 0 0 0 0 0 0 0 0 0 37 8
3 0 0 0 0 0 0 0 0 0 0 0 0
4 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
6 0 0 0 0 0 0 0 0 0 0 0 0
Shared edges : 14
Bad edges : 0
edges,pieces,etc... 16 15 2 14.
Total number of placed pieces : 15
Table with all pieces :
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
1 2 24 28 14 16 18 31 27 13 21 22 3
2 0 0 0 0 0 0 0 0 0 57 37 8
3 0 0 0 0 0 0 0 0 0 0 0 0
4 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
6 0 0 0 0 0 0 0 0 0 0 0 0
Shared edges : 16
Bad edges : 0
edges,pieces,etc... 18 16 2 15.
Total number of placed pieces : 16
Table with all pieces :
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
1 2 24 28 14 16 18 31 27 13 21 22 3
2 0 0 0 0 0 0 0 0 44 57 37 8
3 0 0 0 0 0 0 0 0 0 0 0 0
4 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
6 0 0 0 0 0 0 0 0 0 0 0 0
Shared edges : 18
Bad edges : 0
edges,pieces,etc... 20 17 2 16.
Total number of placed pieces : 17
Table with all pieces :
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
1 2 24 28 14 16 18 31 27 13 21 22 3
2 0 0 0 0 0 0 0 49 44 57 37 8
3 0 0 0 0 0 0 0 0 0 0 0 0
4 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
6 0 0 0 0 0 0 0 0 0 0 0 0
Shared edges : 20
Bad edges : 0
edges,pieces,etc... 22 18 2 17.
Total number of placed pieces : 18
Table with all pieces :
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
1 2 24 28 14 16 18 31 27 13 21 22 3
2 0 0 0 0 0 0 48 49 44 57 37 8
3 0 0 0 0 0 0 0 0 0 0 0 0
4 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
6 0 0 0 0 0 0 0 0 0 0 0 0
Shared edges : 22
Bad edges : 0
edges,pieces,etc... 24 19 2 18.
Total number of placed pieces : 19
Table with all pieces :
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
1 2 24 28 14 16 18 31 27 13 21 22 3
2 0 0 0 0 0 46 48 49 44 57 37 8
3 0 0 0 0 0 0 0 0 0 0 0 0
4 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
6 0 0 0 0 0 0 0 0 0 0 0 0
Shared edges : 24
Bad edges : 0
edges,pieces,etc... 26 20 2 19.
Total number of placed pieces : 20
Table with all pieces :
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
1 2 24 28 14 16 18 31 27 13 21 22 3
2 0 0 0 0 64 46 48 49 44 57 37 8
3 0 0 0 0 0 0 0 0 0 0 0 0
4 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
6 0 0 0 0 0 0 0 0 0 0 0 0
Shared edges : 26
Bad edges : 0
edges,pieces,etc... 28 21 2 20.
Total number of placed pieces : 21
Table with all pieces :
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
1 2 24 28 14 16 18 31 27 13 21 22 3
2 0 0 0 53 64 46 48 49 44 57 37 8
3 0 0 0 0 0 0 0 0 0 0 0 0
4 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
6 0 0 0 0 0 0 0 0 0 0 0 0
Shared edges : 28
Bad edges : 0
edges,pieces,etc... 30 22 2 21.
Total number of placed pieces : 22
Table with all pieces :
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
1 2 24 28 14 16 18 31 27 13 21 22 3
2 0 0 45 53 64 46 48 49 44 57 37 8
3 0 0 0 0 0 0 0 0 0 0 0 0
4 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
6 0 0 0 0 0 0 0 0 0 0 0 0
Shared edges : 30
Bad edges : 0
edges,pieces,etc... 32 23 2 22.
Total number of placed pieces : 23
Table with all pieces :
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
1 2 24 28 14 16 18 31 27 13 21 22 3
2 0 42 45 53 64 46 48 49 44 57 37 8
3 0 0 0 0 0 0 0 0 0 0 0 0
4 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
6 0 0 0 0 0 0 0 0 0 0 0 0
Shared edges : 32
Bad edges : 0
edges,pieces,etc... 34 24 2 23.
Total number of placed pieces : 24
Table with all pieces :
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
1 2 24 28 14 16 18 31 27 13 21 22 3
2 23 42 45 53 64 46 48 49 44 57 37 8
3 0 0 0 0 0 0 0 0 0 0 0 0
4 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
6 0 0 0 0 0 0 0 0 0 0 0 0
Shared edges : 34
Bad edges : 0
edges,pieces,etc... 35 25 2 24.
Total number of placed pieces : 25
Table with all pieces :
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
1 2 24 28 14 16 18 31 27 13 21 22 3
2 23 42 45 53 64 46 48 49 44 57 37 8
3 12 0 0 0 0 0 0 0 0 0 0 0
4 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
6 0 0 0 0 0 0 0 0 0 0 0 0
Shared edges : 35
Bad edges : 0
edges,pieces,etc... 37 26 2 25.
Total number of placed pieces : 26
Table with all pieces :
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
1 2 24 28 14 16 18 31 27 13 21 22 3
2 23 42 45 53 64 46 48 49 44 57 37 8
3 12 62 0 0 0 0 0 0 0 0 0 0
4 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
6 0 0 0 0 0 0 0 0 0 0 0 0
Shared edges : 37
Bad edges : 0
edges,pieces,etc... 39 27 2 26.
Total number of placed pieces : 27
Table with all pieces :
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
1 2 24 28 14 16 18 31 27 13 21 22 3
2 23 42 45 53 64 46 48 49 44 57 37 8
3 12 62 63 0 0 0 0 0 0 0 0 0
4 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
6 0 0 0 0 0 0 0 0 0 0 0 0
Shared edges : 39
Bad edges : 0
edges,pieces,etc... 41 28 2 27.
Total number of placed pieces : 28
Table with all pieces :
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
1 2 24 28 14 16 18 31 27 13 21 22 3
2 23 42 45 53 64 46 48 49 44 57 37 8
3 12 62 63 67 0 0 0 0 0 0 0 0
4 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
6 0 0 0 0 0 0 0 0 0 0 0 0
Shared edges : 41
Bad edges : 0
edges,pieces,etc... 43 29 2 28.
Total number of placed pieces : 29
Table with all pieces :
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
1 2 24 28 14 16 18 31 27 13 21 22 3
2 23 42 45 53 64 46 48 49 44 57 37 8
3 12 62 63 67 35 0 0 0 0 0 0 0
4 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
6 0 0 0 0 0 0 0 0 0 0 0 0
Shared edges : 43
Bad edges : 0
edges,pieces,etc... 45 30 2 29.
Total number of placed pieces : 30
Table with all pieces :
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
1 2 24 28 14 16 18 31 27 13 21 22 3
2 23 42 45 53 64 46 48 49 44 57 37 8
3 12 62 63 67 35 40 0 0 0 0 0 0
4 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
6 0 0 0 0 0 0 0 0 0 0 0 0
Shared edges : 45
Bad edges : 0
edges,pieces,etc... 47 31 2 30.
Total number of placed pieces : 31
Table with all pieces :
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
1 2 24 28 14 16 18 31 27 13 21 22 3
2 23 42 45 53 64 46 48 49 44 57 37 8
3 12 62 63 67 35 40 47 0 0 0 0 0
4 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
6 0 0 0 0 0 0 0 0 0 0 0 0
Shared edges : 47
Bad edges : 0
edges,pieces,etc... 49 32 2 31.
Total number of placed pieces : 32
Table with all pieces :
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
1 2 24 28 14 16 18 31 27 13 21 22 3
2 23 42 45 53 64 46 48 49 44 57 37 8
3 12 62 63 67 35 40 47 61 0 0 0 0
4 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
6 0 0 0 0 0 0 0 0 0 0 0 0
Shared edges : 49
Bad edges : 0
edges,pieces,etc... 51 33 2 32.
Total number of placed pieces : 33
Table with all pieces :
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
1 2 24 28 14 16 18 31 27 13 21 22 3
2 23 42 45 53 64 46 48 49 44 57 37 8
3 12 62 63 67 35 40 47 61 70 0 0 0
4 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
6 0 0 0 0 0 0 0 0 0 0 0 0
Shared edges : 51
Bad edges : 0
edges,pieces,etc... 53 34 2 33.
Total number of placed pieces : 34
Table with all pieces :
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
1 2 24 28 14 16 18 31 27 13 21 22 3
2 23 42 45 53 64 46 48 49 44 57 37 8
3 12 62 63 67 35 40 47 61 70 50 0 0
4 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
6 0 0 0 0 0 0 0 0 0 0 0 0
Shared edges : 53
Bad edges : 0
edges,pieces,etc... 55 35 2 34.
Total number of placed pieces : 35
Table with all pieces :
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
1 2 24 28 14 16 18 31 27 13 21 22 3
2 23 42 45 53 64 46 48 49 44 57 37 8
3 12 62 63 67 35 40 47 61 70 50 54 0
4 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
6 0 0 0 0 0 0 0 0 0 0 0 0
Shared edges : 55
Bad edges : 0
edges,pieces,etc... 57 36 2 35.
Total number of placed pieces : 36
Table with all pieces :
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
1 2 24 28 14 16 18 31 27 13 21 22 3
2 23 42 45 53 64 46 48 49 44 57 37 8
3 12 62 63 67 35 40 47 61 70 50 54 32
4 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
6 0 0 0 0 0 0 0 0 0 0 0 0
Shared edges : 57
Bad edges : 0
edges,pieces,etc... 58 37 2 36.
Total number of placed pieces : 37
Table with all pieces :
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
1 2 24 28 14 16 18 31 27 13 21 22 3
2 23 42 45 53 64 46 48 49 44 57 37 8
3 12 62 63 67 35 40 47 61 70 50 54 32
4 0 0 0 0 0 0 0 0 0 0 0 11
5 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
Shared edges : 58
Bad edges : 0
edges,pieces,etc... 60 38 2 37.
Total number of placed pieces : 38
Table with all pieces :
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
1 2 24 28 14 16 18 31 27 13 21 22 3
2 23 42 45 53 64 46 48 49 44 57 37 8
3 12 62 63 67 35 40 47 61 70 50 54 32
4 0 0 0 0 0 0 0 0 0 0 52 11
5 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
Shared edges : 60
Bad edges : 0
edges,pieces,etc... 62 39 2 38.
Total number of placed pieces : 39
Table with all pieces :
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
1 2 24 28 14 16 18 31 27 13 21 22 3
2 23 42 45 53 64 46 48 49 44 57 37 8
3 12 62 63 67 35 40 47 61 70 50 54 32
4 0 0 0 0 0 0 0 0 0 69 52 11
5 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
Shared edges : 62
Bad edges : 0
edges,pieces,etc... 64 40 2 39.
Total number of placed pieces : 40
Table with all pieces :
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
1 2 24 28 14 16 18 31 27 13 21 22 3
2 23 42 45 53 64 46 48 49 44 57 37 8
3 12 62 63 67 35 40 47 61 70 50 54 32
4 0 0 0 0 0 0 0 0 68 69 52 11
5 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
Shared edges : 64
Bad edges : 0
edges,pieces,etc... 66 41 2 40.
Total number of placed pieces : 41
Table with all pieces :
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
1 2 24 28 14 16 18 31 27 13 21 22 3
2 23 42 45 53 64 46 48 49 44 57 37 8
3 12 62 63 67 35 40 47 61 70 50 54 32
4 0 0 0 0 0 0 0 72 68 69 52 11
5 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
Shared edges : 66
Bad edges : 0
edges,pieces,etc... 68 42 2 41.
Total number of placed pieces : 42
Table with all pieces :
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
1 2 24 28 14 16 18 31 27 13 21 22 3
2 23 42 45 53 64 46 48 49 44 57 37 8
3 12 62 63 67 35 40 47 61 70 50 54 32
4 0 0 0 0 0 0 65 72 68 69 52 11
5 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
Shared edges : 68
Bad edges : 0
edges,pieces,etc... 70 43 2 42.
Total number of placed pieces : 43
Table with all pieces :
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
1 2 24 28 14 16 18 31 27 13 21 22 3
2 23 42 45 53 64 46 48 49 44 57 37 8
3 12 62 63 67 35 40 47 61 70 50 54 32
4 0 0 0 0 0 36 65 72 68 69 52 11
5 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
Shared edges : 70
Bad edges : 0
edges,pieces,etc... 72 44 2 45.
Total number of placed pieces : 44
Table with all pieces :
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
1 2 24 28 14 16 18 31 27 13 21 22 3
2 23 42 45 53 64 46 48 49 44 57 37 8
3 12 62 63 67 35 40 47 61 70 50 54 32
4 0 0 0 0 66 36 65 72 68 69 52 11
5 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
Shared edges : 72
Bad edges : 0
edges,pieces,etc... 74 45 2 46.
Total number of placed pieces : 45
Table with all pieces :
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
1 2 24 28 14 16 18 31 27 13 21 22 3
2 23 42 45 53 64 46 48 49 44 57 37 8
3 12 62 63 67 35 40 47 61 70 50 54 32
4 0 0 0 60 66 36 65 72 68 69 52 11
5 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
Shared edges : 74
Bad edges : 0
edges,pieces,etc... 76 46 2 47.
Total number of placed pieces : 46
Table with all pieces :
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
1 2 24 28 14 16 18 31 27 13 21 22 3
2 23 42 45 53 64 46 48 49 44 57 37 8
3 12 62 63 67 35 40 47 61 70 50 54 32
4 0 0 56 60 66 36 65 72 68 69 52 11
5 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
Shared edges : 76
Bad edges : 0
edges,pieces,etc... 78 47 2 48.
Total number of placed pieces : 47
Table with all pieces :
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
1 2 24 28 14 16 18 31 27 13 21 22 3
2 23 42 45 53 64 46 48 49 44 57 37 8
3 12 62 63 67 35 40 47 61 70 50 54 32
4 0 41 56 60 66 36 65 72 68 69 52 11
5 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
Shared edges : 78
Bad edges : 0
edges,pieces,etc... 80 48 2 49.
Total number of placed pieces : 48
Table with all pieces :
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
1 2 24 28 14 16 18 31 27 13 21 22 3
2 23 42 45 53 64 46 48 49 44 57 37 8
3 12 62 63 67 35 40 47 61 70 50 54 32
4 17 41 56 60 66 36 65 72 68 69 52 11
5 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
Shared edges : 80
Bad edges : 0
edges,pieces,etc... 81 49 2 50.
Total number of placed pieces : 49
Table with all pieces :
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
1 2 24 28 14 16 18 31 27 13 21 22 3
2 23 42 45 53 64 46 48 49 44 57 37 8
3 12 62 63 67 35 40 47 61 70 50 54 32
4 17 41 56 60 66 36 65 72 68 69 52 11
5 6 0 0 0 0 0 0 0 0 0 0 0
6 0 0 0 0 0 0 0 0 0 0 0 0
Shared edges : 81
Bad edges : 0
edges,pieces,etc... 83 50 2 51.
Total number of placed pieces : 50
Table with all pieces :
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
1 2 24 28 14 16 18 31 27 13 21 22 3
2 23 42 45 53 64 46 48 49 44 57 37 8
3 12 62 63 67 35 40 47 61 70 50 54 32
4 17 41 56 60 66 36 65 72 68 69 52 11
5 6 58 0 0 0 0 0 0 0 0 0 0
6 0 0 0 0 0 0 0 0 0 0 0 0
Shared edges : 83
Bad edges : 0
edges,pieces,etc... 85 51 2 52.
Total number of placed pieces : 51
Table with all pieces :
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
1 2 24 28 14 16 18 31 27 13 21 22 3
2 23 42 45 53 64 46 48 49 44 57 37 8
3 12 62 63 67 35 40 47 61 70 50 54 32
4 17 41 56 60 66 36 65 72 68 69 52 11
5 6 58 51 0 0 0 0 0 0 0 0 0
6 0 0 0 0 0 0 0 0 0 0 0 0
Shared edges : 85
Bad edges : 0
edges,pieces,etc... 87 52 2 53.
Total number of placed pieces : 52
Table with all pieces :
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
1 2 24 28 14 16 18 31 27 13 21 22 3
2 23 42 45 53 64 46 48 49 44 57 37 8
3 12 62 63 67 35 40 47 61 70 50 54 32
4 17 41 56 60 66 36 65 72 68 69 52 11
5 6 58 51 34 0 0 0 0 0 0 0 0
6 0 0 0 0 0 0 0 0 0 0 0 0
Shared edges : 87
Bad edges : 0
edges,pieces,etc... 89 53 2 54.
Total number of placed pieces : 53
Table with all pieces :
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
1 2 24 28 14 16 18 31 27 13 21 22 3
2 23 42 45 53 64 46 48 49 44 57 37 8
3 12 62 63 67 35 40 47 61 70 50 54 32
4 17 41 56 60 66 36 65 72 68 69 52 11
5 6 58 51 34 33 0 0 0 0 0 0 0
6 0 0 0 0 0 0 0 0 0 0 0 0
Shared edges : 89
Bad edges : 0
edges,pieces,etc... 91 54 2 55.
Total number of placed pieces : 54
Table with all pieces :
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
1 2 24 28 14 16 18 31 27 13 21 22 3
2 23 42 45 53 64 46 48 49 44 57 37 8
3 12 62 63 67 35 40 47 61 70 50 54 32
4 17 41 56 60 66 36 65 72 68 69 52 11
5 6 58 51 34 33 39 0 0 0 0 0 0
6 0 0 0 0 0 0 0 0 0 0 0 0
Shared edges : 91
Bad edges : 0
edges,pieces,etc... 93 55 2 56.
Total number of placed pieces : 55
Table with all pieces :
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
1 2 24 28 14 16 18 31 27 13 21 22 3
2 23 42 45 53 64 46 48 49 44 57 37 8
3 12 62 63 67 35 40 47 61 70 50 54 32
4 17 41 56 60 66 36 65 72 68 69 52 11
5 6 58 51 34 33 39 71 0 0 0 0 0
6 0 0 0 0 0 0 0 0 0 0 0 0
Shared edges : 93
Bad edges : 0
edges,pieces,etc... 95 56 2 453.
Total number of placed pieces : 56
Table with all pieces :
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
1 2 24 28 14 16 18 31 27 13 21 22 3
2 23 42 45 53 64 46 48 49 44 57 37 8
3 12 62 63 67 35 40 47 61 70 50 54 32
4 29 41 34 65 51 36 39 72 68 69 52 11
5 30 60 43 56 55 38 33 58 0 0 0 0
6 0 0 0 0 0 0 0 0 0 0 0 0
Shared edges : 95
Bad edges : 0
edges,pieces,etc... 97 57 2 456.
Total number of placed pieces : 57
Table with all pieces :
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
1 2 24 28 14 16 18 31 27 13 21 22 3
2 23 42 45 53 64 46 48 49 44 57 37 8
3 12 62 63 67 35 40 47 61 70 50 54 32
4 29 41 34 65 51 36 39 72 68 69 52 11
5 30 60 43 56 55 38 33 66 71 0 0 0
6 0 0 0 0 0 0 0 0 0 0 0 0
Shared edges : 97
Bad edges : 0
edges,pieces,etc... 99 58 2 457.
Total number of placed pieces : 58
Table with all pieces :
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
1 2 24 28 14 16 18 31 27 13 21 22 3
2 23 42 45 53 64 46 48 49 44 57 37 8
3 12 62 63 67 35 40 47 61 70 50 54 32
4 29 41 34 65 51 36 39 72 68 69 52 11
5 30 60 43 56 55 38 33 66 71 59 0 0
6 0 0 0 0 0 0 0 0 0 0 0 0
Shared edges : 99
Bad edges : 0
edges,pieces,etc... 101 59 2 467.
Total number of placed pieces : 59
Table with all pieces :
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
1 2 24 28 14 16 18 31 27 13 21 22 3
2 23 42 45 53 64 46 48 49 44 57 37 8
3 12 62 63 67 35 40 47 61 70 50 54 32
4 29 41 34 65 51 36 39 72 68 69 52 11
5 30 60 43 56 55 38 33 58 66 59 71 0
6 0 0 0 0 0 0 0 0 0 0 0 0
Shared edges : 101
Bad edges : 0
edges,pieces,etc... 103 60 2 8501.
Total number of placed pieces : 60
Table with all pieces :
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
1 2 24 28 14 16 18 31 27 13 21 22 3
2 23 42 45 53 64 46 48 49 44 57 37 8
3 12 62 63 67 35 40 47 61 70 50 54 32
4 29 71 65 69 51 41 52 68 38 66 58 11
5 19 55 34 33 39 36 56 43 60 72 59 30
6 0 0 0 0 0 0 0 0 0 0 0 0
Shared edges : 103
Bad edges : 0
edges,pieces,etc... 104 61 2 8502.
Total number of placed pieces : 61
Table with all pieces :
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
1 2 24 28 14 16 18 31 27 13 21 22 3
2 23 42 45 53 64 46 48 49 44 57 37 8
3 12 62 63 67 35 40 47 61 70 50 54 32
4 29 71 65 69 51 41 52 68 38 66 58 11
5 19 55 34 33 39 36 56 43 60 72 59 30
6 0 0 0 0 0 0 0 0 0 0 0 4
Shared edges : 104
Bad edges : 0
edges,pieces,etc... 106 62 2 9744.
Total number of placed pieces : 62
Table with all pieces :
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
1 2 24 28 14 16 18 31 27 13 21 22 3
2 23 42 45 53 64 46 48 49 44 57 37 8
3 12 62 63 67 35 40 47 61 70 50 54 32
4 29 36 33 59 71 41 52 68 38 66 58 11
5 19 69 34 55 65 39 56 43 72 51 60 30
6 0 0 0 0 0 0 0 0 0 0 15 4
Shared edges : 106
Bad edges : 0
edges,pieces,etc... 108 63 2 9745.
Total number of placed pieces : 63
Table with all pieces :
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
1 2 24 28 14 16 18 31 27 13 21 22 3
2 23 42 45 53 64 46 48 49 44 57 37 8
3 12 62 63 67 35 40 47 61 70 50 54 32
4 29 36 33 59 71 41 52 68 38 66 58 11
5 19 69 34 55 65 39 56 43 72 51 60 30
6 0 0 0 0 0 0 0 0 0 17 15 4
Shared edges : 108
Bad edges : 0
edges,pieces,etc... 110 64 2 10979.
Total number of placed pieces : 64
Table with all pieces :
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
1 2 24 28 14 16 18 31 27 13 21 22 3
2 23 42 45 53 64 46 48 49 44 57 37 8
3 12 62 63 67 35 40 47 61 70 50 54 32
4 17 36 33 59 71 41 52 68 38 66 58 11
5 6 34 56 51 65 43 69 72 55 39 60 30
6 0 0 0 0 0 0 0 0 19 26 15 4
Shared edges : 110
Bad edges : 0
edges,pieces,etc... 112 65 2 24047.
Total number of placed pieces : 65
Table with all pieces :
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
1 2 24 28 14 16 18 31 27 13 21 22 3
2 23 42 45 53 64 46 48 49 44 57 37 8
3 12 62 63 67 35 40 47 61 70 50 54 32
4 29 68 55 65 38 69 43 72 59 66 58 11
5 19 51 71 41 60 33 39 56 36 34 52 30
6 0 0 0 0 0 0 0 15 9 25 20 4
Shared edges : 112
Bad edges : 0
edges,pieces,etc... 114 66 2 24057.
Total number of placed pieces : 66
Table with all pieces :
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
1 2 24 28 14 16 18 31 27 13 21 22 3
2 23 42 45 53 64 46 48 49 44 57 37 8
3 12 62 63 67 35 40 47 61 70 50 54 32
4 29 68 55 65 38 69 43 72 59 66 58 11
5 19 51 71 41 60 33 39 56 36 34 52 30
6 0 0 0 0 0 0 9 25 6 26 20 4
Shared edges : 114
Bad edges : 0
edges,pieces,etc... 116 67 2 24063.
Total number of placed pieces : 67
Table with all pieces :
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
1 2 24 28 14 16 18 31 27 13 21 22 3
2 23 42 45 53 64 46 48 49 44 57 37 8
3 12 62 63 67 35 40 47 61 70 50 54 32
4 29 68 55 65 38 69 43 72 59 66 58 11
5 19 51 71 41 60 33 39 56 36 34 52 30
6 0 0 0 0 0 17 5 10 6 26 20 4
Shared edges : 116
Bad edges : 0
edges,pieces,etc... 118 68 2 37129.
Total number of placed pieces : 68
Table with all pieces :
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
1 2 24 28 14 16 18 31 27 13 21 22 3
2 23 42 45 53 64 46 48 49 44 57 37 8
3 12 62 63 67 35 40 47 61 70 50 54 32
4 10 69 51 71 68 36 43 72 59 66 58 11
5 6 34 55 38 65 52 39 56 41 33 60 30
6 0 0 0 0 17 5 29 9 7 26 15 4
Shared edges : 118
Bad edges : 0
edges,pieces,etc... 120 69 2 37130.
Total number of placed pieces : 69
Table with all pieces :
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
1 2 24 28 14 16 18 31 27 13 21 22 3
2 23 42 45 53 64 46 48 49 44 57 37 8
3 12 62 63 67 35 40 47 61 70 50 54 32
4 10 69 51 71 68 36 43 72 59 66 58 11
5 6 34 55 38 65 52 39 56 41 33 60 30
6 0 0 0 19 17 5 29 9 7 26 15 4
Shared edges : 120
Bad edges : 0
edges,pieces,etc... 122 70 2 441352.
Total number of placed pieces : 70
Table with all pieces :
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
1 2 24 28 14 16 18 31 27 13 21 22 3
2 23 42 45 53 64 46 48 49 44 57 37 8
3 12 62 63 67 35 40 47 61 70 38 33 15
4 17 68 55 71 59 60 52 58 66 72 41 26
5 20 34 39 51 65 50 69 56 54 36 43 7
6 0 0 6 29 9 25 5 10 32 30 19 1
Shared edges : 122
Bad edges : 0
edges,pieces,etc... 124 71 2 441353.
Total number of placed pieces : 71
Table with all pieces :
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
1 2 24 28 14 16 18 31 27 13 21 22 3
2 23 42 45 53 64 46 48 49 44 57 37 8
3 12 62 63 67 35 40 47 61 70 38 33 15
4 17 68 55 71 59 60 52 58 66 72 41 26
5 20 34 39 51 65 50 69 56 54 36 43 7
6 0 11 6 29 9 25 5 10 32 30 19 1
Shared edges : 124
Bad edges : 0
edges,pieces,etc... 126 72 2 441354.
Total number of placed pieces : 72
Table with all pieces :
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
1 2 24 28 14 16 18 31 27 13 21 22 3
2 23 42 45 53 64 46 48 49 44 57 37 8
3 12 62 63 67 35 40 47 61 70 38 33 15
4 17 68 55 71 59 60 52 58 66 72 41 26
5 20 34 39 51 65 50 69 56 54 36 43 7
6 4 11 6 29 9 25 5 10 32 30 19 1
Shared edges : 126
Bad edges : 0
edges,pieces,etc... 126 72 2 441354. 4
Total number of placed pieces : 72
Table with all pieces :
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
1 2 24 28 14 16 18 31 27 13 21 22 3
2 23 42 45 53 64 46 48 49 44 57 37 8
3 12 62 63 67 35 40 47 61 70 38 33 15
4 17 68 55 71 59 60 52 58 66 72 41 26
5 20 34 39 51 65 50 69 56 54 36 43 7
6 4 11 6 29 9 25 5 10 32 30 19 1
Shared edges : 126
Bad edges : 0
edges,... 0 2
0 0
===============================================================================
FINAL LIST OF POSITIONS :
===============================================================================
Total number of placed pieces : 72
Table with all pieces :
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
1 28 53 69 17 35 30 67 47 23 72 61 32
2 59 60 8 52 63 24 55 51 38 2 11 10
3 22 6 15 29 39 41 19 13 42 66 64 18
4 36 12 34 70 3 25 62 14 31 48 40 49
5 71 46 33 9 26 68 58 43 50 5 65 20
6 44 27 4 45 16 54 1 21 56 57 37 7
Shared edges : 126
Bad edges : 0
CONGRATULATION !
25-Mar-2019 10 hour 9 min 13 Sec
Total CPU time elapsed in seconds : 2.296875
Files for a test on the 16x16 puzzle : shorter256.zip
=================================================================
SHORTER version 4.04 by A. Le Bail - 2007 - alb@cristal.org
=================================================================
22-Mar-2019 18 hour 31 min 43 Sec
Title
Puzzle data and calc. type 1 0
Tolerance on error 200
Size nx*ny 16 16
Total CPU time asked (hours) 200.0000
Max number of moves 2000000.00000000
Verbosity 0
Proportions of perm and rot 0.5000000
Damping factor 5.0000002E-04
nch (piece at 1,1) 5
nscar 0
level2 parameter 60 100000.0
level3 parameter 70 200000.0
limref 170
ncou 1
nbi 2
Searching for the puzzle 256
Number of different figures + corners 23
hint piece N° 1
edges,pieces,etc... 350 189 877 910810. 3
edges,... 459 877
edges,... 459 877
459 480
===============================================================================
FINAL LIST OF POSITIONS :
===============================================================================
Total number of placed pieces : 256
Table with all pieces :
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
1 3 33 44 10 57 38 53 55 8 42 14 50 23 43 34 1
2 26 91 168 172 205 167 171 90 161 124 132 115 116 73 166 52
3 19 227 203 185 76 163 162 66 137 199 177 156 110 95 201 35
4 20 226 175 176 62 100 98 183 190 127 138 147 196 194 160 29
5 17 123 121 187 206 144 81 237 228 130 154 157 218 208 107 28
6 58 254 255 245 151 141 77 243 182 131 136 246 211 239 150 9
7 59 96 221 256 93 94 61 173 247 216 112 128 63 89 142 7
8 22 71 118 133 85 204 148 149 111 102 117 225 105 164 248 45
9 5 79 198 253 122 250 209 139 165 129 202 152 219 78 86 47
10 11 191 200 178 113 214 106 109 234 235 184 146 195 207 215 54
11 24 192 240 174 244 231 68 74 224 83 97 82 145 70 229 39
12 13 179 169 140 153 223 84 92 72 193 210 75 134 67 159 12
13 49 64 65 143 103 104 99 69 88 80 180 230 197 186 170 25
14 51 135 251 125 120 108 181 155 249 232 220 217 233 241 236 40
15 21 213 242 101 238 252 87 158 119 126 222 212 189 188 114 15
16 2 46 41 31 18 56 27 32 30 60 36 48 37 6 16 4
Shared edges : 459
Bad edges : 21
Now, bad pieces are removed
Total number of well placed pieces : 236
Table with only the well placed pieces :
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
1 3 33 44 10 57 38 53 55 8 42 14 50 23 43 34 1
2 26 91 168 172 205 167 171 90 161 124 132 115 116 73 166 52
3 19 227 203 185 76 163 162 66 137 199 177 156 110 95 201 35
4 20 226 175 176 62 100 98 183 190 127 138 147 196 194 160 29
5 17 123 121 187 206 144 81 237 228 130 154 157 218 208 107 28
6 58 254 255 245 151 141 77 243 182 131 136 246 211 239 150 9
7 59 96 221 256 93 94 61 173 247 216 112 128 63 89 142 7
8 22 71 118 133 85 204 148 149 111 102 117 225 105 164 248 45
9 5 79 198 253 122 250 209 139 165 129 202 152 219 78 86 47
10 11 191 200 178 113 214 106 109 234 235 184 146 195 207 215 54
11 24 192 240 174 244 231 68 74 224 83 97 82 145 70 229 39
12 13 0 0 140 153 223 84 92 0 193 210 75 134 67 159 12
13 49 0 65 143 103 104 99 69 88 80 0 230 197 186 0 25
14 51 0 251 125 0 108 0 155 0 232 220 217 233 241 236 0
15 21 0 0 101 0 252 87 0 119 0 222 212 0 0 0 15
16 0 46 41 31 18 56 27 32 30 60 36 48 37 6 16 4
=====================================================================
A bit re-arranged manually for having a minimum of non-exactly-fitting pieces (12) :
Try to improve the code... Maybe in identifying the tiles difficult to
place and placing them first.
Best wishes
Armel Le Bail