# Chinese Wooden Puzzles in N by 10

Below the results for the Chinese Wooden Puzzle that fit in a frame of size
N by 10 for all possible values for N and combination of
kind of pieces, where 5 pieces of each selected kind are used.
This page is generated with the program genCWP10.cpp
## Chinese Wooden Puzzles in 1 by 10

The one solution is symmetric in two directions.
The one pattern is:

## Chinese Wooden Puzzles in 2 by 10

The one solution is symmetric in two directions.
The one pattern is:

## Chinese Wooden Puzzles in 3 by 10

56 normalized solutions are not symmetric in any direction.
There is one minimal touching pattern, which is suboptimal with four extra.
There is one maximal touching pattern.
The patterns are:

The one normalized solution is symmetric in one direction.
Two solutions (one normalized solution) are permutations of one solution of green, one solution of purple.
There are no mix solutions.
All patterns are a combination of two smaller patterns.
The one pattern is:

Three normalized solutions are symmetric in one direction.
Four normalized solutions are not symmetric in any direction.
There are two minimal touching patterns, which are suboptimal with eight extra.
There is one maximal touching pattern.
The patterns are:

## Chinese Wooden Puzzles in 4 by 10

## Chinese Wooden Puzzles in 5 by 10

1,210 normalized solutions are not symmetric in any direction.
There are two minimal touching patterns, which are suboptimal with nine extra.
There are six maximal touching patterns.
The patterns are:

1,788 normalized solutions are not symmetric in any direction.
448 solutions (112 normalized solutions) are permutations of 224 solutions of blue and purple, one solution of green.
This leaves 6,704 mix solutions.
34 patterns are a combination of two smaller patterns.
340 patterns are a mix patterns.
There is one minimal touching pattern, which is suboptimal with four extra.
There are two maximal touching patterns.
The patterns are:

The one normalized solution is not symmetric in any direction.
The one pattern is:

29,371 normalized solutions are not symmetric in any direction.
Too many patterns to display them all.
The three suboptimal (two extra) minimal touching patterns are:

170 normalized solutions are not symmetric in any direction.
44 solutions (11 normalized solutions) are permutations of 22 solutions of black and purple, one solution of green.
This leaves 636 mix solutions.
Five patterns are a combination of two smaller patterns.
52 patterns are a mix patterns.
There is one minimal touching pattern, which is suboptimal with eight extra.
There are two maximal touching patterns.
The patterns are:

## Chinese Wooden Puzzles in 6 by 10

35 normalized solutions are not symmetric in any direction.
There are two minimal touching patterns, which are suboptimal with 11 extra.
There are two maximal touching patterns.
The patterns are:

Four normalized solutions are not symmetric in any direction.
There is one minimal touching pattern, which is suboptimal with 25 extra.
There is one maximal touching pattern.
The patterns are:

## Chinese Wooden Puzzles in 7 by 10

9,597 normalized solutions are not symmetric in any direction.
9,680 solutions (2,420 normalized solutions) are permutations of 4,840 solutions of red, blue, and purple, one solution of green.
This leaves 28,708 mix solutions.
466 patterns are a combination of two smaller patterns.
2,477 patterns are a mix patterns.
Too many patterns to display them all.
The two suboptimal (eight extra) minimal touching patterns are:

94,906 normalized solutions are not symmetric in any direction.
Too many patterns to display them all.
The one suboptimal (four extra) minimal touching pattern is:

76 normalized solutions are not symmetric in any direction.
Eight solutions (two normalized solutions) are permutations of four solutions of red, black, and purple, one solution of green.
This leaves 296 mix solutions.
Two patterns are a combination of two smaller patterns.
49 patterns are a mix patterns.
There is one minimal touching pattern, which is suboptimal with nine extra.
There is one maximal touching pattern.
The patterns are:

410,070 normalized solutions are not symmetric in any direction.
234,968 solutions (58,742 normalized solutions) are permutations of 117,484 solutions of blue, black, and purple, one solution of green.
This leaves 1,405,312 mix solutions.
8,692 patterns are a combination of two smaller patterns.
59,891 patterns are a mix patterns.
Too many patterns to display them all.
The seven suboptimal (four extra) minimal touching patterns are:

116 normalized solutions are not symmetric in any direction.
There is one minimal touching pattern, which is suboptimal with nine extra.
There is one maximal touching pattern.
The patterns are:

843 normalized solutions are not symmetric in any direction.
There is one minimal touching pattern, which is suboptimal with ten extra.
There is one maximal touching pattern.
The patterns are:

39,040 normalized solutions are not symmetric in any direction.
280 solutions (70 normalized solutions) are permutations of 140 solutions of orange, blue, and white, one solution of purple.
This leaves 155,880 mix solutions.
30 patterns are a combination of two smaller patterns.
7,766 patterns are a mix patterns.
Too many patterns to display them all.
The four suboptimal (three extra) minimal touching patterns are:

504 normalized solutions are not symmetric in any direction.
32 solutions (eight normalized solutions) are permutations of 16 solutions of orange, black, and white, one solution of purple.
This leaves 1,984 mix solutions.
Four patterns are a combination of two smaller patterns.
185 patterns are a mix patterns.
There are three minimal touching patterns, which are suboptimal with 11 extra.
There are two maximal touching patterns.
The patterns are:

## Chinese Wooden Puzzles in 8 by 10

36 normalized solutions are not symmetric in any direction.
There is one minimal touching pattern, which is suboptimal with 16 extra.
There is one maximal touching pattern.
The patterns are:

1,626 normalized solutions are not symmetric in any direction.
There is one minimal touching pattern, which is suboptimal with six extra.
There are three maximal touching patterns.
The patterns are:

8,319 normalized solutions are not symmetric in any direction.
Too many patterns to display them all.
The one suboptimal (six extra) minimal touching pattern is:

13 normalized solutions are not symmetric in any direction.
There are three minimal touching patterns, which are suboptimal with 18 extra.
There are two maximal touching patterns.
The patterns are:

495 normalized solutions are not symmetric in any direction.
280 solutions (70 normalized solutions) are permutations of 140 solutions of orange, blue, and white, one solution of green.
This leaves 1,700 mix solutions.
30 patterns are a combination of two smaller patterns.
182 patterns are a mix patterns.
There are two minimal touching patterns, which are suboptimal with 12 extra.
There is one maximal touching pattern.
The patterns are:

Eight normalized solutions are not symmetric in any direction.
There is one minimal touching pattern, which is suboptimal with 13 extra.
There are three maximal touching patterns.
The patterns are:

222 normalized solutions are not symmetric in any direction.
There is one minimal touching pattern, which is suboptimal with 12 extra.
There are two maximal touching patterns.
The patterns are:

6,359 normalized solutions are not symmetric in any direction.
Too many patterns to display them all.
The one suboptimal (five extra) minimal touching pattern is:

13 normalized solutions are not symmetric in any direction.
32 solutions (eight normalized solutions) are permutations of 16 solutions of orange, black, and white, one solution of green.
This leaves 20 mix solutions.
Four patterns are a combination of two smaller patterns.
Three patterns are a mix patterns.
There is one minimal touching pattern, which is suboptimal with 19 extra.
There are two maximal touching patterns.
The patterns are:

## Chinese Wooden Puzzles in 9 by 10

Red, blue, green, and purple in 7 by 10 has 38,388 solutions in 2,943 patterns.
Red, blue, black, and purple in 7 by 10 has 379,624 solutions in 23,892 patterns.
Red, green, black, and purple in 7 by 10 has 304 solutions in 51 patterns.
759,248 solutions (189,812 normalized solutions) are permutations of 379,624 solutions of red, blue, black, and purple, one solution of green.
Which means it has at least 759,248 solutions (189,812 normalized solutions).
There exists at least minimal touching patterns with eight extra.
There are at least two such suboptimal minimal touching patterns.
One such pattern is:

Blue, green, black, and purple in 7 by 10 has 1,640,280 solutions in 68,583 patterns.
288 solutions (72 normalized solutions) are permutations of 144 solutions of orange, red, yellow, and white, one solution of purple.
Which means it has at least 288 solutions (72 normalized solutions).
There exists at least minimal touching patterns with 16 extra.
There are at least two such suboptimal minimal touching patterns.
One such pattern is:

13,008 solutions (3,252 normalized solutions) are permutations of 6,504 solutions of orange, red, blue, and white, one solution of purple.
Which means it has at least 13,008 solutions (3,252 normalized solutions).
There exists at least minimal touching patterns with six extra.
There are at least two such suboptimal minimal touching patterns.
One such pattern is:

66,552 solutions (16,638 normalized solutions) are permutations of 33,276 solutions of orange, yellow, blue, and white, one solution of purple.
Which means it has at least 66,552 solutions (16,638 normalized solutions).
There exists at least minimal touching patterns with six extra.
There are at least two such suboptimal minimal touching patterns.
One such pattern is:

928 solutions (232 normalized solutions) are permutations of 464 solutions of orange, red, white, and purple, one solution of green.
Which means it has at least 928 solutions (232 normalized solutions).
There exists at least minimal touching patterns with 13 extra.
There are at least two such suboptimal minimal touching patterns.
One such pattern is:

6,744 solutions (1,686 normalized solutions) are permutations of 3,372 solutions of orange, yellow, white, and purple, one solution of green.
104 solutions (26 normalized solutions) are permutations of 52 solutions of orange, yellow, green, and white, one solution of purple.
Which means it has at least 6,848 solutions (1,712 normalized solutions).
There exists at least minimal touching patterns with 14 extra.
There are at least two such suboptimal minimal touching patterns.
One such pattern is:

840 solutions (210 normalized solutions) are permutations of 140 solutions of orange, blue, and white, one solution of green, one solution of purple.
311,760 solutions (77,940 normalized solutions) are permutations of 155,880 solutions of orange, blue, white, and purple, one solution of green.
3,400 solutions (850 normalized solutions) are permutations of 1,700 solutions of orange, blue, green, and white, one solution of purple.
Which means it has at least 316,000 solutions (79,000 normalized solutions).
There exists at least minimal touching patterns with seven extra.
There are at least eight such suboptimal minimal touching patterns.
Four such patterns are:

64 solutions (16 normalized solutions) are permutations of 32 solutions of orange, red, black, and white, one solution of purple.
Which means it has at least 64 solutions (16 normalized solutions).
There exists at least minimal touching patterns with 13 extra.
There are at least two such suboptimal minimal touching patterns.
One such pattern is:

1,776 solutions (444 normalized solutions) are permutations of 888 solutions of orange, yellow, black, and white, one solution of purple.
Which means it has at least 1,776 solutions (444 normalized solutions).
There exists at least minimal touching patterns with 12 extra.
There are at least two such suboptimal minimal touching patterns.
One such pattern is:

6,160 solutions (1,540 normalized solutions) are permutations of 140 solutions of orange, blue, and white, 22 solutions of black and purple.
7,168 solutions (1,792 normalized solutions) are permutations of 16 solutions of orange, black, and white, 224 solutions of blue and purple.
50,872 solutions (12,718 normalized solutions) are permutations of 25,436 solutions of orange, blue, black, and white, one solution of purple.
Which means it has at least 64,200 solutions (16,050 normalized solutions).
There exists at least minimal touching patterns with five extra.
There are at least two such suboptimal minimal touching patterns.
One such pattern is:

96 solutions (24 normalized solutions) are permutations of 16 solutions of orange, black, and white, one solution of green, one solution of purple.
3,968 solutions (992 normalized solutions) are permutations of 1,984 solutions of orange, black, white, and purple, one solution of green.
40 solutions (ten normalized solutions) are permutations of 20 solutions of orange, green, black, and white, one solution of purple.
Which means it has at least 4,104 solutions (1,026 normalized solutions).
There exists at least minimal touching patterns with 15 extra.
There are at least six such suboptimal minimal touching patterns.
Three such patterns are:

## Chinese Wooden Puzzles in 10 by 10

276,982 normalized solutions are not symmetric in any direction.
Too many patterns to display them all.
The four suboptimal (ten extra) minimal touching patterns are:

222 normalized solutions are not symmetric in any direction.
288 solutions (72 normalized solutions) are permutations of 144 solutions of orange, red, yellow, and white, one solution of green.
This leaves 600 mix solutions.
46 patterns are a combination of two smaller patterns.
92 patterns are a mix patterns.
There are two minimal touching patterns, which are suboptimal with 17 extra.
There are two maximal touching patterns.
The patterns are:

10,838 normalized solutions are not symmetric in any direction.
13,008 solutions (3,252 normalized solutions) are permutations of 6,504 solutions of orange, red, blue, and white, one solution of green.
This leaves 30,344 mix solutions.
1,100 patterns are a combination of two smaller patterns.
2,446 patterns are a mix patterns.
Too many patterns to display them all.
The four suboptimal (ten extra) minimal touching patterns are:

67,828 normalized solutions are not symmetric in any direction.
66,552 solutions (16,638 normalized solutions) are permutations of 33,276 solutions of orange, yellow, blue, and white, one solution of green.
This leaves 204,760 mix solutions.
5,956 patterns are a combination of two smaller patterns.
16,366 patterns are a mix patterns.
Too many patterns to display them all.
The four suboptimal (ten extra) minimal touching patterns are:

8,628 normalized solutions are not symmetric in any direction.
Too many patterns to display them all.
The two suboptimal (13 extra) minimal touching patterns are:

174,046 normalized solutions are not symmetric in any direction.
Too many patterns to display them all.
The eight suboptimal (nine extra) minimal touching patterns are:

Orange, yellow, blue, and white in 8 by 10 has 33,276 solutions in 2,978 patterns.
Orange, yellow, black, and white in 8 by 10 has 888 solutions in 121 patterns.
Orange, blue, black, and white in 8 by 10 has 25,436 solutions in 2,514 patterns.
64 solutions (16 normalized solutions) are permutations of 32 solutions of orange, red, black, and white, one solution of green.
Which means it has at least 64 solutions (16 normalized solutions).
There exists at least minimal touching patterns with 17 extra.
There are at least two such suboptimal minimal touching patterns.
One such pattern is:

1,776 solutions (444 normalized solutions) are permutations of 888 solutions of orange, yellow, black, and white, one solution of green.
Which means it has at least 1,776 solutions (444 normalized solutions).
There exists at least minimal touching patterns with 16 extra.
There are at least two such suboptimal minimal touching patterns.
One such pattern is:

50,872 solutions (12,718 normalized solutions) are permutations of 25,436 solutions of orange, blue, black, and white, one solution of green.
Which means it has at least 50,872 solutions (12,718 normalized solutions).
There exists at least minimal touching patterns with nine extra.
There are at least two such suboptimal minimal touching patterns.
One such pattern is:

## Chinese Wooden Puzzles in 11 by 10

Red, blue, green, and purple in 7 by 10 has 38,388 solutions in 2,943 patterns.
Red, blue, black, and purple in 7 by 10 has 379,624 solutions in 23,892 patterns.
Red, green, black, and purple in 7 by 10 has 304 solutions in 51 patterns.
Blue, green, black, and purple in 7 by 10 has 1,640,280 solutions in 68,583 patterns.
64,512 solutions (16,128 normalized solutions) are permutations of 144 solutions of orange, red, yellow, and white, 224 solutions of blue and purple.
2,215,856 solutions (553,964 normalized solutions) are permutations of 1,107,928 solutions of orange, red, yellow, blue, and white, one solution of purple.
Which means it has at least 2,280,368 solutions (570,092 normalized solutions).
There exists at least minimal touching patterns with ten extra.
There are at least eight such suboptimal minimal touching patterns.
Four such patterns are:

864 solutions (216 normalized solutions) are permutations of 144 solutions of orange, red, yellow, and white, one solution of green, one solution of purple.
1,200 solutions (300 normalized solutions) are permutations of 600 solutions of orange, red, yellow, green, and white, one solution of purple.
Which means it has at least 2,064 solutions (516 normalized solutions).
There exists at least minimal touching patterns with 17 extra.
There are at least four such suboptimal minimal touching patterns.
Two such patterns are:

39,024 solutions (9,756 normalized solutions) are permutations of 6,504 solutions of orange, red, blue, and white, one solution of green, one solution of purple.
60,688 solutions (15,172 normalized solutions) are permutations of 30,344 solutions of orange, red, blue, green, and white, one solution of purple.
Which means it has at least 99,712 solutions (24,928 normalized solutions).
There exists at least minimal touching patterns with ten extra.
There are at least 14 such suboptimal minimal touching patterns.
Five such patterns are:

199,656 solutions (49,914 normalized solutions) are permutations of 33,276 solutions of orange, yellow, blue, and white, one solution of green, one solution of purple.
23,296 solutions (5,824 normalized solutions) are permutations of 52 solutions of orange, yellow, green, and white, 224 solutions of blue and purple.
409,520 solutions (102,380 normalized solutions) are permutations of 204,760 solutions of orange, yellow, blue, green, and white, one solution of purple.
Which means it has at least 632,472 solutions (158,118 normalized solutions).
There exists at least minimal touching patterns with ten extra.
There are at least 14 such suboptimal minimal touching patterns.
Five such patterns are:

6,336 solutions (1,584 normalized solutions) are permutations of 144 solutions of orange, red, yellow, and white, 22 solutions of black and purple.
69,024 solutions (17,256 normalized solutions) are permutations of 34,512 solutions of orange, red, yellow, black, and white, one solution of purple.
Which means it has at least 75,360 solutions (18,840 normalized solutions).
There exists at least minimal touching patterns with 13 extra.
There are at least four such suboptimal minimal touching patterns.
Two such patterns are:

1,120 solutions (280 normalized solutions) are permutations of 140 solutions of orange, blue, and white, four solutions of red, black, and purple.
154,880 solutions (38,720 normalized solutions) are permutations of 16 solutions of orange, black, and white, 4,840 solutions of red, blue, and purple.
286,176 solutions (71,544 normalized solutions) are permutations of 6,504 solutions of orange, red, blue, and white, 22 solutions of black and purple.
14,336 solutions (3,584 normalized solutions) are permutations of 32 solutions of orange, red, black, and white, 224 solutions of blue and purple.
1,392,368 solutions (348,092 normalized solutions) are permutations of 696,184 solutions of orange, red, blue, black, and white, one solution of purple.
Which means it has at least 1,848,880 solutions (462,220 normalized solutions).
There exists at least minimal touching patterns with nine extra.
There are at least 16 such suboptimal minimal touching patterns.
Eight such patterns are:

1,464,144 solutions (366,036 normalized solutions) are permutations of 33,276 solutions of orange, yellow, blue, and white, 22 solutions of black and purple.
397,824 solutions (99,456 normalized solutions) are permutations of 888 solutions of orange, yellow, black, and white, 224 solutions of blue and purple.
Which means it has at least 1,861,968 solutions (465,492 normalized solutions).
There exists at least minimal touching patterns with 14 extra.
There are at least four such suboptimal minimal touching patterns.
Two such patterns are:

192 solutions (48 normalized solutions) are permutations of 32 solutions of orange, red, black, and white, one solution of green, one solution of purple.
Which means it has at least 192 solutions (48 normalized solutions).
There exists at least minimal touching patterns with 17 extra.
There are at least six such suboptimal minimal touching patterns.
One such pattern is:

2,288 solutions (572 normalized solutions) are permutations of 52 solutions of orange, yellow, green, and white, 22 solutions of black and purple.
5,328 solutions (1,332 normalized solutions) are permutations of 888 solutions of orange, yellow, black, and white, one solution of green, one solution of purple.
Which means it has at least 7,616 solutions (1,904 normalized solutions).
There exists at least minimal touching patterns with 16 extra.
There are at least six such suboptimal minimal touching patterns.
One such pattern is:

18,480 solutions (4,620 normalized solutions) are permutations of 140 solutions of orange, blue, and white, 22 solutions of black and purple, one solution of green.
178,080 solutions (44,520 normalized solutions) are permutations of 140 solutions of orange, blue, and white, 636 solutions of green, black, and purple.
21,504 solutions (5,376 normalized solutions) are permutations of 16 solutions of orange, black, and white, 224 solutions of blue and purple, one solution of green.
214,528 solutions (53,632 normalized solutions) are permutations of 16 solutions of orange, black, and white, 6,704 solutions of blue, green, and purple.
74,800 solutions (18,700 normalized solutions) are permutations of 1,700 solutions of orange, blue, green, and white, 22 solutions of black and purple.
152,616 solutions (38,154 normalized solutions) are permutations of 25,436 solutions of orange, blue, black, and white, one solution of green, one solution of purple.
8,960 solutions (2,240 normalized solutions) are permutations of 20 solutions of orange, green, black, and white, 224 solutions of blue and purple.
Which means it has at least 668,968 solutions (167,242 normalized solutions).
There exists at least minimal touching patterns with nine extra.
There are at least six such suboptimal minimal touching patterns.
One such pattern is:

## Chinese Wooden Puzzles in 12 by 10

2,215,856 solutions (553,964 normalized solutions) are permutations of 1,107,928 solutions of orange, red, yellow, blue, and white, one solution of green.
Which means it has at least 2,215,856 solutions (553,964 normalized solutions).
There exists at least minimal touching patterns with 14 extra.
There are at least eight such suboptimal minimal touching patterns.
Four such patterns are:

Orange, red, yellow, blue, and white in 10 by 10 has 1,107,928 solutions in 73,840 patterns.
Orange, red, yellow, black, and white in 10 by 10 has 34,512 solutions in 3,766 patterns.
Orange, red, blue, black, and white in 10 by 10 has 696,184 solutions in 49,214 patterns.
69,024 solutions (17,256 normalized solutions) are permutations of 34,512 solutions of orange, red, yellow, black, and white, one solution of green.
Which means it has at least 69,024 solutions (17,256 normalized solutions).
There exists at least minimal touching patterns with 17 extra.
There are at least four such suboptimal minimal touching patterns.
Two such patterns are:

1,392,368 solutions (348,092 normalized solutions) are permutations of 696,184 solutions of orange, red, blue, black, and white, one solution of green.
Which means it has at least 1,392,368 solutions (348,092 normalized solutions).
There exists at least minimal touching patterns with 13 extra.
There are at least 16 such suboptimal minimal touching patterns.
Eight such patterns are:

Orange, yellow, black, and white in 8 by 10 has 888 solutions in 121 patterns.
Orange, blue, black, and white in 8 by 10 has 25,436 solutions in 2,514 patterns.
Orange, green, black, and white in 8 by 10 has 52 solutions in seven patterns.
Orange, yellow, blue, green, and white in 10 by 10 has 271,312 solutions in 22,322 patterns.
## Chinese Wooden Puzzles in 13 by 10

193,536 solutions (48,384 normalized solutions) are permutations of 144 solutions of orange, red, yellow, and white, 224 solutions of blue and purple, one solution of green.
1,930,752 solutions (482,688 normalized solutions) are permutations of 144 solutions of orange, red, yellow, and white, 6,704 solutions of blue, green, and purple.
503,360 solutions (125,840 normalized solutions) are permutations of 52 solutions of orange, yellow, green, and white, 4,840 solutions of red, blue, and purple.
6,647,568 solutions (1,661,892 normalized solutions) are permutations of 1,107,928 solutions of orange, red, yellow, blue, and white, one solution of green, one solution of purple.
268,800 solutions (67,200 normalized solutions) are permutations of 600 solutions of orange, red, yellow, green, and white, 224 solutions of blue and purple.
Which means it has at least 9,544,016 solutions (2,386,004 normalized solutions).
There exists at least minimal touching patterns with 14 extra.
There are at least 24 such suboptimal minimal touching patterns.
Four such patterns are:

33,835,392 solutions (8,458,848 normalized solutions) are permutations of 144 solutions of orange, red, yellow, and white, 117,484 solutions of blue, black, and purple.
266,208 solutions (66,552 normalized solutions) are permutations of 33,276 solutions of orange, yellow, blue, and white, four solutions of red, black, and purple.
8,595,840 solutions (2,148,960 normalized solutions) are permutations of 888 solutions of orange, yellow, black, and white, 4,840 solutions of red, blue, and purple.
48,748,832 solutions (12,187,208 normalized solutions) are permutations of 1,107,928 solutions of orange, red, yellow, blue, and white, 22 solutions of black and purple.
15,461,376 solutions (3,865,344 normalized solutions) are permutations of 34,512 solutions of orange, red, yellow, black, and white, 224 solutions of blue and purple.
Which means it has at least 106,907,648 solutions (26,726,912 normalized solutions).
There exists at least minimal touching patterns with 17 extra.
There are at least four such suboptimal minimal touching patterns.
Two such patterns are:

19,008 solutions (4,752 normalized solutions) are permutations of 144 solutions of orange, red, yellow, and white, 22 solutions of black and purple, one solution of green.
183,168 solutions (45,792 normalized solutions) are permutations of 144 solutions of orange, red, yellow, and white, 636 solutions of green, black, and purple.
416 solutions (104 normalized solutions) are permutations of 52 solutions of orange, yellow, green, and white, four solutions of red, black, and purple.
26,400 solutions (6,600 normalized solutions) are permutations of 600 solutions of orange, red, yellow, green, and white, 22 solutions of black and purple.
207,072 solutions (51,768 normalized solutions) are permutations of 34,512 solutions of orange, red, yellow, black, and white, one solution of green, one solution of purple.
Which means it has at least 436,064 solutions (109,016 normalized solutions).
There exists at least minimal touching patterns with 17 extra.
There are at least 12 such suboptimal minimal touching patterns.
Two such patterns are:

918,656 solutions (229,664 normalized solutions) are permutations of 28,708 solutions of red, blue, green, and purple, 16 solutions of orange, black, and white.
82,880 solutions (20,720 normalized solutions) are permutations of 296 solutions of red, green, black, and purple, 140 solutions of orange, blue, and white.
858,528 solutions (214,632 normalized solutions) are permutations of 6,504 solutions of orange, red, blue, and white, 22 solutions of black and purple, one solution of green.
8,273,088 solutions (2,068,272 normalized solutions) are permutations of 6,504 solutions of orange, red, blue, and white, 636 solutions of green, black, and purple.
13,600 solutions (3,400 normalized solutions) are permutations of 1,700 solutions of orange, blue, green, and white, four solutions of red, black, and purple.
43,008 solutions (10,752 normalized solutions) are permutations of 32 solutions of orange, red, black, and white, 224 solutions of blue and purple, one solution of green.
429,056 solutions (107,264 normalized solutions) are permutations of 32 solutions of orange, red, black, and white, 6,704 solutions of blue, green, and purple.
193,600 solutions (48,400 normalized solutions) are permutations of 20 solutions of orange, green, black, and white, 4,840 solutions of red, blue, and purple.
1,335,136 solutions (333,784 normalized solutions) are permutations of 30,344 solutions of orange, red, blue, green, and white, 22 solutions of black and purple.
4,177,104 solutions (1,044,276 normalized solutions) are permutations of 696,184 solutions of orange, red, blue, black, and white, one solution of green, one solution of purple.
Which means it has at least 16,324,656 solutions (4,081,164 normalized solutions).
There exists at least minimal touching patterns with 13 extra.
There are at least 48 such suboptimal minimal touching patterns.
Eight such patterns are:

4,392,432 solutions (1,098,108 normalized solutions) are permutations of 33,276 solutions of orange, yellow, blue, and white, 22 solutions of black and purple, one solution of green.
42,327,072 solutions (10,581,768 normalized solutions) are permutations of 33,276 solutions of orange, yellow, blue, and white, 636 solutions of green, black, and purple.
12,218,336 solutions (3,054,584 normalized solutions) are permutations of 52 solutions of orange, yellow, green, and white, 117,484 solutions of blue, black, and purple.
1,193,472 solutions (298,368 normalized solutions) are permutations of 888 solutions of orange, yellow, black, and white, 224 solutions of blue and purple, one solution of green.
11,906,304 solutions (2,976,576 normalized solutions) are permutations of 888 solutions of orange, yellow, black, and white, 6,704 solutions of blue, green, and purple.
9,009,440 solutions (2,252,360 normalized solutions) are permutations of 204,760 solutions of orange, yellow, blue, green, and white, 22 solutions of black and purple.
Which means it has at least 81,047,056 solutions (20,261,764 normalized solutions).
There exists at least minimal touching patterns with 14 extra.
There are at least two such suboptimal minimal touching patterns.
One such pattern is:

## Chinese Wooden Puzzles in 14 by 10

Orange, green, black, and white in 8 by 10 has 52 solutions in seven patterns.
Orange, red, yellow, blue, and white in 10 by 10 has 1,107,928 solutions in 73,840 patterns.
Orange, red, yellow, green, and white in 10 by 10 has 888 solutions in 138 patterns.
Orange, red, blue, green, and white in 10 by 10 has 43,352 solutions in 3,546 patterns.
Orange, yellow, blue, green, and white in 10 by 10 has 271,312 solutions in 22,322 patterns.
Orange, red, yellow, black, and white in 10 by 10 has 34,512 solutions in 3,766 patterns.
Orange, red, blue, black, and white in 10 by 10 has 696,184 solutions in 49,214 patterns.
## Chinese Wooden Puzzles in 15 by 10

101,506,176 solutions (25,376,544 normalized solutions) are permutations of 144 solutions of orange, red, yellow, and white, 117,484 solutions of blue, black, and purple, one solution of green.
404,729,856 solutions (101,182,464 normalized solutions) are permutations of 144 solutions of orange, red, yellow, and white, 1,405,312 solutions of blue, green, black, and purple.
798,624 solutions (199,656 normalized solutions) are permutations of 33,276 solutions of orange, yellow, blue, and white, four solutions of red, black, and purple, one solution of green.
19,699,392 solutions (4,924,848 normalized solutions) are permutations of 33,276 solutions of orange, yellow, blue, and white, 296 solutions of red, green, black, and purple.
39,480,896 solutions (9,870,224 normalized solutions) are permutations of 52 solutions of orange, yellow, green, and white, 379,624 solutions of red, blue, black, and purple.
25,787,520 solutions (6,446,880 normalized solutions) are permutations of 888 solutions of orange, yellow, black, and white, 4,840 solutions of red, blue, and purple, one solution of green.
50,985,408 solutions (12,746,352 normalized solutions) are permutations of 888 solutions of orange, yellow, black, and white, 28,708 solutions of red, blue, green, and purple.
146,246,496 solutions (36,561,624 normalized solutions) are permutations of 1,107,928 solutions of orange, red, yellow, blue, and white, 22 solutions of black and purple, one solution of green.
1,409,284,416 solutions (352,321,104 normalized solutions) are permutations of 1,107,928 solutions of orange, red, yellow, blue, and white, 636 solutions of green, black, and purple.
140,980,800 solutions (35,245,200 normalized solutions) are permutations of 600 solutions of orange, red, yellow, green, and white, 117,484 solutions of blue, black, and purple.
1,638,080 solutions (409,520 normalized solutions) are permutations of 204,760 solutions of orange, yellow, blue, green, and white, four solutions of red, black, and purple.
46,384,128 solutions (11,596,032 normalized solutions) are permutations of 34,512 solutions of orange, red, yellow, black, and white, 224 solutions of blue and purple, one solution of green.
462,736,896 solutions (115,684,224 normalized solutions) are permutations of 34,512 solutions of orange, red, yellow, black, and white, 6,704 solutions of blue, green, and purple.
Which means it has at least 2,850,258,688 solutions (712,564,672 normalized solutions).
There exists at least minimal touching patterns with 15 extra.
There are at least two such suboptimal minimal touching patterns.
One such pattern is:

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