Project Euler: Problem 8

The four adjacent digits in the 1000-digit number that have the greatest product are 9 × 9 × 8 × 9 = 5832.

(see the number below)

Find the thirteen adjacent digits in the 1000-digit number that have the greatest product. What is the value of this product?

Use NumPy for this computation



In [3]:

    
import numpy as np



In [4]:

    
d1000 = """
73167176531330624919225119674426574742355349194934
96983520312774506326239578318016984801869478851843
85861560789112949495459501737958331952853208805511
12540698747158523863050715693290963295227443043557
66896648950445244523161731856403098711121722383113
62229893423380308135336276614282806444486645238749
30358907296290491560440772390713810515859307960866
70172427121883998797908792274921901699720888093776
65727333001053367881220235421809751254540594752243
52584907711670556013604839586446706324415722155397
53697817977846174064955149290862569321978468622482
83972241375657056057490261407972968652414535100474
82166370484403199890008895243450658541227588666881
16427171479924442928230863465674813919123162824586
17866458359124566529476545682848912883142607690042
24219022671055626321111109370544217506941658960408
07198403850962455444362981230987879927244284909188
84580156166097919133875499200524063689912560717606
05886116467109405077541002256983155200055935729725
71636269561882670428252483600823257530420752963450
"""



In [58]:

    
d=[]
num=['0','1','2','3','4','5','6','7','8','9']
for i in range(len(d1000)):
    if (d1000[i]) in num: 
        d.append(int(d1000[i]))  #turns d1000 into list without \n
D=np.array(d)     #turns list into array

P=np.zeros((np.size(D)-12,1))  #create array
for i in range(np.size(D)-12):
    P[i,0]=max(np.cumprod(D[i:i+13:1]))  #insert product of 13 consecutive #s in P
print(max(P))

raise NotImplementedError()









    



[  2.35146240e+10]






    



---------------------------------------------------------------------------
NotImplementedError                       Traceback (most recent call last)
<ipython-input-58-c1af0bae01b9> in <module>()
     11 print(max(P))
     12 
---> 13 raise NotImplementedError()

NotImplementedError:



In [ ]:

    
assert True # leave this for grading



In [ ]: