1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
from itertools import *
from z3 import *
row_rules = [
[17, 4],
[17, 1, 3],
[14, 2, 3],
[12, 1, 3],
[9, 2, 2, 1],
[2, 7, 1, 4],
[4, 4, 3, 1, 1],
[1, 3, 2, 1, 3, 1, 1],
[3, 2, 3, 2],
[3, 1, 2, 3, 1],
[2, 5, 2, 1, 3, 1],
[1, 8, 1, 2, 3],
[1, 11, 1, 1],
[2, 1, 2, 6, 4, 2],
[1, 1, 4, 3, 1],
[2, 2, 1, 3, 2],
[1, 2, 3, 1],
[1, 2, 1, 3],
[4, 2, 1],
[3, 1, 2],
[3, 2, 1],
[3, 1, 1, 2],
[3, 2, 1],
[3, 2, 2],
[3, 2, 1],
[4, 3, 2],
[2, 3, 3, 1],
[3, 4, 4],
[6, 1, 1],
[4],
]
col_rules = [
[3, 2, 2, 1, 1, 11],
[3, 3, 2, 1, 2, 11],
[3, 4, 2, 3, 6, 2],
[3, 4, 3, 6, 1],
[3, 7, 1, 6],
[3, 4, 4, 7],
[3, 2, 6, 6],
[3, 8, 3, 1],
[3, 8, 2, 1],
[3, 8, 2, 2],
[3, 6, 1, 1],
[3, 3, 2, 6],
[3, 1, 4, 5],
[3, 4, 2, 5],
[6, 7, 1, 4],
[6, 9, 2, 4],
[6, 1, 9, 1, 3],
[6, 4, 9, 2, 3],
[4, 6, 9, 1, 2],
[2, 1, 3, 9, 2, 2],
[4, 1, 2, 11, 1],
[6, 5, 9, 2],
[7, 6, 6, 4],
[6, 6, 4, 6],
[1, 7, 6, 1, 8],
[1, 1, 3, 6, 10],
[2, 1, 1, 4, 12],
[2, 1, 2, 1, 1, 14],
[3, 1, 3, 16],
[3, 4, 18],
]
def pairwise(iterable):
"s -> (s0,s1), (s1,s2), (s2, s3), ..."
a, b = tee(iterable)
next(b, None)
return zip(a, b)
def cell(x, y):
return Bool(f"cell-{x},{y}")
def row(y):
return [cell(x, y) for x in range(0, len(col_rules))]
def col(x):
return [cell(x, y) for y in range(0, len(row_rules))]
def create_constraints(stripe_name, stripe_constraints, stripe, f):
group_count = len(stripe_constraints)
group_start = [Int(f"{stripe_name}-{i}-start") for i in range(0, group_count)]
group_end = [Int(f"{stripe_name}-{i}-end") for i in range(0, group_count)]
# # Start and end of each group
for i in range(0, group_count):
s.add(group_start[i] >= 0, group_start[i] < len(stripe))
s.add(group_end[i] >= 0, group_end[i] < len(stripe))
s.add(group_end[i] - group_start[i] == stripe_constraints[i] - 1)
# Gap between each group and following group
for i, j in pairwise(range(0, group_count)):
s.add(group_start[j] >= group_end[i] + 2)
# Cells
for k in range(0, len(stripe)):
cell_in_specific_group = [
And(k >= group_start[i], k <= group_end[i])
for i in range(0, group_count)
]
s.add(f(stripe[k], Or(*cell_in_specific_group)))
s = Solver()
for x, col_rule in enumerate(col_rules):
create_constraints(f"col-{x}", col_rule, col(x), lambda a,b: a == b)
for y, row_rule in enumerate(row_rules):
create_constraints(f"row-{y}", row_rule, row(y), lambda a,b: a != b)
s.check()
m = s.model()
for y in range(0, len(row_rules)):
row = "".join([" " if m[cell(x,y)] else "█" for x in range(0, len(col_rules))])
print(row)