from eulertools import EulerProblem
import numpy as np
from typing import Tuple

def read_data(s:str) -> str:
	"""Read the list of integers in as a single string
	"""
	d = s.replace('\n', '').strip()
	return(d)

def problem(args:Tuple[int, str]) -> int:
	"""Find N adjacent digits that have the highest product.
	"""
	n = args[0]
	data = args[1]
	seq = read_data(data)
	max_p = 0
	for i in range(len(seq) - n + 1):
		nseq = seq[i:(i + n)] # get the n digit sequence
		# skip it if there is a zero
		if '0' in nseq:
			continue
		# find the product, compare to the max found so far
		# keep the product if it is the largest
		d = np.array([int(j) for j in nseq])
		t = max(max_p, np.prod(d, dtype=np.int64))
		if t > max_p:
			max_p = t
	return max_p

# set up problem
data = """
73167176531330624919225119674426574742355349194934
96983520312774506326239578318016984801869478851843
85861560789112949495459501737958331952853208805511
12540698747158523863050715693290963295227443043557
66896648950445244523161731856403098711121722383113
62229893423380308135336276614282806444486645238749
30358907296290491560440772390713810515859307960866
70172427121883998797908792274921901699720888093776
65727333001053367881220235421809751254540594752243
52584907711670556013604839586446706324415722155397
53697817977846174064955149290862569321978468622482
83972241375657056057490261407972968652414535100474
82166370484403199890008895243450658541227588666881
16427171479924442928230863465674813919123162824586
17866458359124566529476545682848912883142607690042
24219022671055626321111109370544217506941658960408
07198403850962455444362981230987879927244284909188
84580156166097919133875499200524063689912560717606
05886116467109405077541002256983155200055935729725
71636269561882670428252483600823257530420752963450
"""

problem_url = 'https://projecteuler.net/problem=8'
p = EulerProblem('Largest product in a series', problem_url, (13, data))
p.problem = problem
p.date_solved = '2021-01-29'

if __name__ == '__main__':
	p.run([4, data], n=1)
	assert p.solution == 5832, 'Result incorrect'

	# test
	p.run(n=1)

	# get average time
	p.run()