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exercice11.py
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exercice11.py
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data = """
08 02 22 97 38 15 00 40 00 75 04 05 07 78 52 12 50 77 91 08
49 49 99 40 17 81 18 57 60 87 17 40 98 43 69 48 04 56 62 00
81 49 31 73 55 79 14 29 93 71 40 67 53 88 30 03 49 13 36 65
52 70 95 23 04 60 11 42 69 24 68 56 01 32 56 71 37 02 36 91
22 31 16 71 51 67 63 89 41 92 36 54 22 40 40 28 66 33 13 80
24 47 32 60 99 03 45 02 44 75 33 53 78 36 84 20 35 17 12 50
32 98 81 28 64 23 67 10 26 38 40 67 59 54 70 66 18 38 64 70
67 26 20 68 02 62 12 20 95 63 94 39 63 08 40 91 66 49 94 21
24 55 58 05 66 73 99 26 97 17 78 78 96 83 14 88 34 89 63 72
21 36 23 09 75 00 76 44 20 45 35 14 00 61 33 97 34 31 33 95
78 17 53 28 22 75 31 67 15 94 03 80 04 62 16 14 09 53 56 92
16 39 05 42 96 35 31 47 55 58 88 24 00 17 54 24 36 29 85 57
86 56 00 48 35 71 89 07 05 44 44 37 44 60 21 58 51 54 17 58
19 80 81 68 05 94 47 69 28 73 92 13 86 52 17 77 04 89 55 40
04 52 08 83 97 35 99 16 07 97 57 32 16 26 26 79 33 27 98 66
88 36 68 87 57 62 20 72 03 46 33 67 46 55 12 32 63 93 53 69
04 42 16 73 38 25 39 11 24 94 72 18 08 46 29 32 40 62 76 36
20 69 36 41 72 30 23 88 34 62 99 69 82 67 59 85 74 04 36 16
20 73 35 29 78 31 90 01 74 31 49 71 48 86 81 16 23 57 05 54
01 70 54 71 83 51 54 69 16 92 33 48 61 43 52 01 89 19 67 48"""
class GridTopologie(object):
BASE_ADJACENCY = [True , True , True ,
True , False, True ,
True , True , True ]
TOP_ADJACENCY = [False, False, False,
True , True , True ,
True , True , True ]
BOTTOM_ADJACENCY = [True , True , True ,
True , True , True ,
False, False, False]
LEFT_ADJACENCY = [False, True, True ,
False, True, True ,
False, True, True ]
RIGHT_ADJACENCY = [True , True , False ,
True , False, False ,
True , True , False ]
def __init__(self, lenght, width):
super(GridTopologie, self).__init__()
self.lenght = lenght
self.width = width
self.size = lenght*width
self.adjacencies_by_index = [[GridTopologie.BASE_ADJACENCY] for el in range(self.size)]
for index, adjacencies in enumerate(self.adjacencies_by_index):
if index < self.width:
adjacencies.append(GridTopologie.TOP_ADJACENCY)
if index >= self.size - self.width:
adjacencies.append(GridTopologie.BOTTOM_ADJACENCY)
if index % self.width == 0:
adjacencies.append(GridTopologie.LEFT_ADJACENCY)
if index % width == width - 1:
adjacencies.append(GridTopologie.RIGHT_ADJACENCY)
adjacency_offset = [-width-1, -width, -width+1,
-1 , 0 , 1 ,
width-1 , width , width+1 ]
self.adjacent_by_index = []
for index in range(self.size):
self.adjacent_by_index.append([index+offset for offset in adjacency_offset])
def are_adjacents(self, indexes):
if len(indexes) < 2:
return True
else:
return self._are_adjacents(indexes[0], indexes[1]) and \
self.are_adjacents(indexes[1:])
def _are_adjacents(self, i1, i2):
try:
adj_table_index = self.adjacent_by_index[i1].index(i2)
return all((el[adj_table_index]
for el in self.adjacencies_by_index[i1]))
except ValueError:
return False
def form_gen(self, step, size=4):
for form_index in range(self.size):
next_form = [form_index+step*k for k in range(size)]
in_range = (0<=index<self.size for index in next_form)
if all(in_range) and self.are_adjacents(next_form):
yield next_form
SIZE = 20
data = [el.strip() for el in data.split()]
def pp(data, hl=None):
print()
hl = hl or []
print('\n'.join([' '.join(linegen(data, line_nb, hl)) for line_nb in range(SIZE)]))
def linegen(data, line_nb, hl):
start = line_nb*SIZE
for index in range(start, start+SIZE):
yield '**' if index in hl else data[index]
def get_value(data, hl):
res = 1
for index in hl:
res = res * int(data[index])
return res
gt = GridTopologie(20, 20)
form_pattern = [1, SIZE, SIZE+1, SIZE-1]
drawings = []
for pattern in form_pattern:
drawings.extend(gt.form_gen(pattern))
max_index = -1
max = -1
for index, drawing in enumerate(drawings):
if get_value(data, drawing) > max:
max = get_value(data, drawing)
max_index = index
print(get_value(data, drawings[max_index]))
pp(data, drawings[max_index])