# number.
NUMBER = """
73167176531330624919225119674426574742355349194934
96983520312774506326239578318016984801869478851843
85861560789112949495459501737958331952853208805511
12540698747158523863050715693290963295227443043557
66896648950445244523161731856403098711121722383113
62229893423380308135336276614282806444486645238749
30358907296290491560440772390713810515859307960866
70172427121883998797908792274921901699720888093776
65727333001053367881220235421809751254540594752243
52584907711670556013604839586446706324415722155397
53697817977846174064955149290862569321978468622482
83972241375657056057490261407972968652414535100474
82166370484403199890008895243450658541227588666881
16427171479924442928230863465674813919123162824586
17866458359124566529476545682848912883142607690042
24219022671055626321111109370544217506941658960408
07198403850962455444362981230987879927244284909188
84580156166097919133875499200524063689912560717606
05886116467109405077541002256983155200055935729725
71636269561882670428252483600823257530420752963450
""".replace(
"\n", ""
).strip()
numbers = map(lambda x: tuple([int(c) for c in x]), slide(NUMBER, 5))
products = map(lambda x: reduce(mul, x), numbers)
print max(products)
# down, left, right, or diagonally) in the 20x20 grid?
F = 'problem11.dat' # data file
C = 4 # number of consecutive integers
def horisontal():
f = lambda l: [ int(x) for x in l ]
return [ f(l.strip().split()) for l in open(F).readlines() if l.strip() ]
def vertical():
hlines = horisontal()
return [ [ line[i] for line in hlines ] for i in xrange(len(hlines)) ]
def diagonal(direction):
hlines = horisontal()
offset = len(hlines)
dlines = [ [] for i in xrange(offset * 2 + 1) ]
for i in xrange(len(hlines)):
for j in xrange(len(hlines[i])):
dlines[direction(i,j,offset)].append(hlines[i][j])
return filter(lambda x: len(x) >= C, dlines)
# functions for traversing diagonally
up = lambda i, j, o: i + j
down = lambda i, j, o: i - j + o
lines = horisontal() + vertical() + diagonal(up) + diagonal(down)
numbers = [ n for x in lines for n in slide(x, C) ]
products = [ reduce(mul, nums) for nums in numbers ]
print max(products)
