mirror of
https://github.com/TheAlgorithms/Python.git
synced 2024-11-27 23:11:09 +00:00
98e9d6bdb6
* Fix style of the first ten solutions for Project Euler - Unify the header docstring, and add reference URLs to wikipedia or similar - Fix docstrings to be properly multilined - Add newlines where appropriate - Add doctests where they were missing - Remove doctests that test for the correct solution - fix obvious spelling or grammar mistakes in comments and exception messages - Fix line endings to be UNIX. This makes two of the files seem to have changed completely - no functional changes in any of the solutions were done (except for the spelling fixes mentioned above) * Fix docstrings and main function as per Style Guide
95 lines
3.3 KiB
Python
95 lines
3.3 KiB
Python
"""
|
||
Project Euler Problem 8: https://projecteuler.net/problem=8
|
||
|
||
Largest product in a series
|
||
|
||
The four adjacent digits in the 1000-digit number that have the greatest
|
||
product are 9 × 9 × 8 × 9 = 5832.
|
||
|
||
73167176531330624919225119674426574742355349194934
|
||
96983520312774506326239578318016984801869478851843
|
||
85861560789112949495459501737958331952853208805511
|
||
12540698747158523863050715693290963295227443043557
|
||
66896648950445244523161731856403098711121722383113
|
||
62229893423380308135336276614282806444486645238749
|
||
30358907296290491560440772390713810515859307960866
|
||
70172427121883998797908792274921901699720888093776
|
||
65727333001053367881220235421809751254540594752243
|
||
52584907711670556013604839586446706324415722155397
|
||
53697817977846174064955149290862569321978468622482
|
||
83972241375657056057490261407972968652414535100474
|
||
82166370484403199890008895243450658541227588666881
|
||
16427171479924442928230863465674813919123162824586
|
||
17866458359124566529476545682848912883142607690042
|
||
24219022671055626321111109370544217506941658960408
|
||
07198403850962455444362981230987879927244284909188
|
||
84580156166097919133875499200524063689912560717606
|
||
05886116467109405077541002256983155200055935729725
|
||
71636269561882670428252483600823257530420752963450
|
||
|
||
Find the thirteen adjacent digits in the 1000-digit number that have the
|
||
greatest product. What is the value of this product?
|
||
"""
|
||
import sys
|
||
|
||
N = """73167176531330624919225119674426574742355349194934\
|
||
96983520312774506326239578318016984801869478851843\
|
||
85861560789112949495459501737958331952853208805511\
|
||
12540698747158523863050715693290963295227443043557\
|
||
66896648950445244523161731856403098711121722383113\
|
||
62229893423380308135336276614282806444486645238749\
|
||
30358907296290491560440772390713810515859307960866\
|
||
70172427121883998797908792274921901699720888093776\
|
||
65727333001053367881220235421809751254540594752243\
|
||
52584907711670556013604839586446706324415722155397\
|
||
53697817977846174064955149290862569321978468622482\
|
||
83972241375657056057490261407972968652414535100474\
|
||
82166370484403199890008895243450658541227588666881\
|
||
16427171479924442928230863465674813919123162824586\
|
||
17866458359124566529476545682848912883142607690042\
|
||
24219022671055626321111109370544217506941658960408\
|
||
07198403850962455444362981230987879927244284909188\
|
||
84580156166097919133875499200524063689912560717606\
|
||
05886116467109405077541002256983155200055935729725\
|
||
71636269561882670428252483600823257530420752963450"""
|
||
|
||
|
||
def str_eval(s: str) -> int:
|
||
"""
|
||
Returns product of digits in given string n
|
||
|
||
>>> str_eval("987654321")
|
||
362880
|
||
>>> str_eval("22222222")
|
||
256
|
||
"""
|
||
|
||
product = 1
|
||
for digit in s:
|
||
product *= int(digit)
|
||
return product
|
||
|
||
|
||
def solution(n: str = N) -> int:
|
||
"""
|
||
Find the thirteen adjacent digits in the 1000-digit number n that have
|
||
the greatest product and returns it.
|
||
"""
|
||
|
||
largest_product = -sys.maxsize - 1
|
||
substr = n[:13]
|
||
cur_index = 13
|
||
while cur_index < len(n) - 13:
|
||
if int(n[cur_index]) >= int(substr[0]):
|
||
substr = substr[1:] + n[cur_index]
|
||
cur_index += 1
|
||
else:
|
||
largest_product = max(largest_product, str_eval(substr))
|
||
substr = n[cur_index : cur_index + 13]
|
||
cur_index += 13
|
||
return largest_product
|
||
|
||
|
||
if __name__ == "__main__":
|
||
print(f"{solution() = }")
|