Solving the board...

main.py

@@ -1,6 +1,9 @@
 #!/usr/bin/env python3
 
+"This module does something"
+
 from itertools import combinations_with_replacement
+import sys
 
 
 def solve1(width, pattern):
@@ -9,19 +12,19 @@ def solve1(width, pattern):
     pattern inside the row. The tuple elements are the
     gaps before each block in pattern.
     The tuple doesn't include the last gap, since that's
-    just: width - sum(sol) - sum(pattern) 
+    just: width - sum(sol) - sum(pattern)
     """
     spaces = width - (sum(pattern) + len(pattern) - 1)
     for sol in combinations_with_replacement(range(spaces + 1), len(pattern)):
-        sol = sol[0:1] + tuple((sol[i] - sol[i-1] + 1) for i in range(1,len(sol)))
+        sol = sol[0:1] + tuple((sol[i] - sol[i-1] + 1) for i in range(1, len(sol)))
         yield sol
 
 def expand_solution(solution, width, pattern):
     """
-    expands a solution to a tuple of 1 (ON) and 0 (OFF) 
+    expands a solution to a tuple of 1 (ON) and 0 (OFF)
     """
     r = []
-    for s,p in zip(solution, pattern):
+    for s, p in zip(solution, pattern):
         r.extend([0] * s)
         r.extend([1] * p)
     r.extend([0] * (width - sum(solution) - sum(pattern)))
@@ -37,7 +40,7 @@ def matches(expanded_solution, constraints):
          1 -> ON
         -1 -> not constrained
     """
-    for s,c in zip(expanded_solution, constraints):
+    for s, c in zip(expanded_solution, constraints):
         if c == -1:
             continue
         if c != s:
@@ -52,15 +55,15 @@ def solve2(width, pattern, constraints=None):
     @constraints: optional list of length width containing 1,0,-1 as elements
 
     Does the same as solve1, but takes constraints
-    in consideration to be faster than solve1 + matches 
+    in consideration to be faster than solve1 + matches
     """
-    
+
     if len(pattern) == 0:
         return tuple()
 
     if constraints is None:
         constraints = [-1] * width
-    
+
     p = pattern[0]
 
     # the first gap can go from 0 to the following, inclusive
@@ -75,17 +78,84 @@ def solve2(width, pattern, constraints=None):
             continue
         subwidth = width - gap - p - 1
         subpattern = pattern[1:]
-        subconstraints = constraints[-subwidth:] 
+        subconstraints = constraints[-subwidth:]
         for s in solve2(subwidth, subpattern, subconstraints):
-            yield (gap,s[0]+1) + s[1:]
+            yield (gap, s[0]+1) + s[1:]
 
+def invariants(width, pattern, constraints=None):
+    "compute invariants"
+    invs = []
+    for sol in solve2(width, pattern, constraints):
+        exp = list(expand_solution(sol, width, pattern))
+        count += 1
+        if len(invs) == 0:
+            invs = exp
+        else:
+            for i, e in enumerate(exp):
+                if invs[i] != e:
+                    invs[i] = -1
+    return count, invs
+
+def visual(constraints):
+    "returns a visual representation of constraints"
+    return "".join({1:'\N{LEFT SEVEN EIGHTHS BLOCK}', 0:'.', -1:'?'}[x] for x in constraints)
+
+class Board:
+    """Board
+
+    A board is actually a list of constraints.
+    A cell with 1 or 0 is fixed. A cell with -1
+    doesn't have a known value yet.
+    """
+
+    def __init__(self, patterns):
+        self.col_patterns = patterns[0]
+        self.row_patterns = patterns[1]
+        self.width = len(patterns[0])
+        self.height = len(patterns[1])
+        self.rows = [None] * self.height
+        for i in range(self.height):
+            self.rows[i] = [-1] * self.width
+
+        print("rows:")
+        for y in range(self.height):
+            n, c = invariants(self.width, self.row_patterns[y])
+            print(n, self.row_patterns[y], visual(c))
+
+        print("cols:")
+        for x in range(self.height):
+            n, c = invariants(self.width, self.col_patterns[x])
+            print(n, self.col_patterns[x], visual(c))
+
+        print(self.row(0))
+
+    def col(self, i):
+        """a column"""
+        return [self.rows[x][i] for x in range(self.height)]
+
+    def row(self, i):
+        """a row"""
+        return self.rows[i]
+
+    def solve(self):
+        min_row_index = 0
+        min_row_count = 0
+        for y in range(self.height):
+            count = 0
+            for sol in solve2(self.width, self.row_patterns[y], self.row(y)):
+                count += 1
+            if count < min_row_count:
+                min_row_count = count
+                min_row_index = y
+
+
+        pass
 
 if __name__ == "__main__":
-    
-    import sys
 
     def draw(solution, width, pattern):
-        for s,p in zip(solution, pattern):
+        "draws a solution"
+        for s, p in zip(solution, pattern):
             print('.' * s, end="")
             print('\N{LEFT SEVEN EIGHTHS BLOCK}' * p, end="")
         print('.' * (width - sum(solution) - sum(pattern)))
@@ -94,8 +164,8 @@ if __name__ == "__main__":
     pattern = tuple(int(x) for x in sys.argv[2].split())
     constraints = [-1] * width
     try:
-        for i,c in enumerate(sys.argv[3]):
+        for i, c in enumerate(sys.argv[3]):
-            constraints[i]= {'1':1, '0':0, '?':-1}[c]
+            constraints[i] = {'1':1, '0':0, '?':-1}[c]
     except:
         constraints = [-1] * width
 
@@ -104,16 +174,24 @@ if __name__ == "__main__":
     #     if matches(e, constraints):
     #         draw(solution, width, pattern)
 
-    fixed = []
+    def parse(rows):
-    for sol in solve2(width, pattern, constraints):
+        "parses '1 1, 1 2 3' into [[1, 1], [1, 2, 3]]"
-        exp = list(expand_solution(sol, width, pattern))
+        rows = rows.split(",")
-        if len(fixed) == 0:
+        rows = [[int(y) for y in x.strip().split()] for x in rows]
-            fixed = exp
+        return rows
-        else:
+
-            for i,e in enumerate(exp):
+
-                if fixed[i] != e:
+    b = Board((
-                    fixed[i] = -1
+        parse("""1 1 1 1 1, 1 1 1, 1 1 1 1, 1 2, 1 1 1 1, 1 1 1, 1 1 1,
-        draw(sol, width, pattern)
+                 3 1, 1 1, 1 2 6 1, 2 1, 2 3 1, 1 1, 1 1 3 1, 2 1 1"""),
+        parse("""1 2, 1 1 2, 2 1 1 1 1, 3 1, 1 1 1 1, 1 2 1, 1, 1 1 1 2,
+                 2 2 1 1, 1 1 1 1 1, 1 2 2, 2 2, 1 1 1 1 1, 1 1 1 1, 1 1""")
+    ))
+
+    # c = Board((
+    #     parse("""1 5 2, 1 1 2, 1 1 2 1 2, 2 2, 2 1 1 1, 1 1 1, 1 1, 1 1 1, 2 3 1 1,
+    #              1 2 3 1 1, 1 3 1 1, 2 1 1 1, 1 1 1 2 1, 1 1 1 2 1, 2 1"""),
+    #     parse("""1 2 1 1, 1 1 4, 2 1, 1 1 1 1 2, 1 3 1 1, 1 2, 1 1 1 1 1 1,
+    #              1 1 1 1 1 2, 1 1 2, 1 2 1 1, 3 1 4, 1 4 1, 3, 3 1 1, 1 2 1""")
+    # ))
 
-    print("invariants:")
-    print("".join({1:'\N{LEFT SEVEN EIGHTHS BLOCK}',0:'.',-1:'?'}[x] for x in fixed))