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def other(value): | ||
if value == 1: | ||
return 2 | ||
if value == 2: | ||
return 1 | ||
return 0 | ||
|
||
class Grid(object): | ||
@staticmethod | ||
def load(data): | ||
result = Grid(len(data)) | ||
for y, row in enumerate(data): | ||
for x, value in enumerate(row): | ||
if value == '0': | ||
result.set(x, y, 1) | ||
if value == '1': | ||
result.set(x, y, 2) | ||
return result | ||
def __init__(self, size): | ||
self.size = size | ||
self.cells = {} | ||
def get(self, x, y): | ||
return self.cells.get((x, y), 0) | ||
def set(self, x, y, value): | ||
self.cells[(x, y)] = value | ||
def set_default(self, x, y, value): | ||
if not self.get(x, y): | ||
self.set(x, y, value) | ||
def update_cell(self, x, y): | ||
n1 = self.get(x, y - 1) | ||
n2 = self.get(x, y - 2) | ||
s1 = self.get(x, y + 1) | ||
s2 = self.get(x, y + 2) | ||
e1 = self.get(x + 1, y) | ||
e2 = self.get(x + 2, y) | ||
w1 = self.get(x - 1, y) | ||
w2 = self.get(x - 2, y) | ||
if n1 and n1 == n2: return other(n1) | ||
if s1 and s1 == s2: return other(s1) | ||
if e1 and e1 == e2: return other(e1) | ||
if w1 and w1 == w2: return other(w1) | ||
if n1 and n1 == s1: return other(n1) | ||
if e1 and e1 == w1: return other(e1) | ||
return 0 | ||
def update_cells(self): | ||
result = False | ||
for y in range(self.size): | ||
for x in range(self.size): | ||
if self.get(x, y): | ||
continue | ||
value = self.update_cell(x, y) | ||
if value: | ||
result = True | ||
self.set(x, y, value) | ||
return result | ||
def update_rows_cols(self): | ||
result = False | ||
half = self.size / 2 | ||
for y in range(self.size): | ||
row = [self.get(x, y) for x in range(self.size)] | ||
n1 = row.count(1) | ||
n2 = row.count(2) | ||
if n1 + n2 == self.size: | ||
continue | ||
if n1 == half: | ||
result = True | ||
for x in range(self.size): | ||
self.set_default(x, y, 2) | ||
if n2 == half: | ||
result = True | ||
for x in range(self.size): | ||
self.set_default(x, y, 1) | ||
for x in range(self.size): | ||
col = [self.get(x, y) for y in range(self.size)] | ||
n1 = col.count(1) | ||
n2 = col.count(2) | ||
if n1 + n2 == self.size: | ||
continue | ||
if n1 == half: | ||
result = True | ||
for y in range(self.size): | ||
self.set_default(x, y, 2) | ||
if n2 == half: | ||
result = True | ||
for y in range(self.size): | ||
self.set_default(x, y, 1) | ||
return result | ||
def update_duplicate_row(self, y1, y2): | ||
row1 = [self.get(x, y1) for x in range(self.size)] | ||
row2 = [self.get(x, y2) for x in range(self.size)] | ||
n1 = row1.count(0) | ||
n2 = row2.count(0) | ||
if n1 == 0 and n2 == 2: | ||
for x in range(self.size): | ||
self.set_default(x, y2, other(self.get(x, y1))) | ||
if n2 == 0 and n1 == 2: | ||
for x in range(self.size): | ||
self.set_default(x, y1, other(self.get(x, y2))) | ||
def update_duplicate_col(self, x1, x2): | ||
col1 = [self.get(x1, y) for y in range(self.size)] | ||
col2 = [self.get(x2, y) for y in range(self.size)] | ||
n1 = col1.count(0) | ||
n2 = col2.count(0) | ||
if n1 == 0 and n2 == 2: | ||
for y in range(self.size): | ||
self.set_default(x2, y, other(self.get(x1, y))) | ||
if n2 == 0 and n1 == 2: | ||
for y in range(self.size): | ||
self.set_default(x1, y, other(self.get(x2, y))) | ||
def update_duplicates(self): | ||
result = False | ||
for y1 in range(self.size): | ||
for y2 in range(y1 + 1, self.size): | ||
row1 = [self.get(x, y1) for x in range(self.size)] | ||
row2 = [self.get(x, y2) for x in range(self.size)] | ||
for a, b in zip(row1, row2): | ||
if a and b and a != b: | ||
break | ||
else: | ||
result = True | ||
self.update_duplicate_row(y1, y2) | ||
for x1 in range(self.size): | ||
for x2 in range(x1 + 1, self.size): | ||
col1 = [self.get(x1, y) for y in range(self.size)] | ||
col2 = [self.get(x2, y) for y in range(self.size)] | ||
for a, b in zip(col1, col2): | ||
if a and b and a != b: | ||
break | ||
else: | ||
result = True | ||
self.update_duplicate_col(x1, x2) | ||
return result | ||
def update(self): | ||
while True: | ||
result = False | ||
result = result or self.update_cells() | ||
result = result or self.update_rows_cols() | ||
result = result or self.update_duplicates() | ||
if not result: | ||
break | ||
def __repr__(self): | ||
rows = [] | ||
for y in range(self.size): | ||
row = [] | ||
for x in range(self.size): | ||
value = self.get(x, y) | ||
value = str(value - 1) if value else '.' | ||
row.append(value) | ||
rows.append(' '.join(row)) | ||
rows.append('') | ||
return '\n'.join(rows) | ||
|
||
if __name__ == '__main__': | ||
data = [ | ||
'..11.1...1', | ||
'0...0.....', | ||
'..1....11.', | ||
'.1..01.1..', | ||
'0.........', | ||
'.11.1.....', | ||
'...1...0.0', | ||
'.00.0..0.0', | ||
'..........', | ||
'......0.0.', | ||
] | ||
grid = Grid.load(data) | ||
print grid | ||
grid.update() | ||
print grid |