Unified numbers and output
This commit is contained in:
parent
e004055fb3
commit
220a742b6b
@ -5,14 +5,14 @@ Created on 14 Mar 2017
|
||||
@author: David Doblas Jiménez
|
||||
@email: daviddoji@pm.me
|
||||
|
||||
Solution for problem 1 of Project Euler
|
||||
Solution for problem 001 of Project Euler
|
||||
https://projecteuler.net/problem=1
|
||||
"""
|
||||
|
||||
from utils import timeit
|
||||
|
||||
|
||||
@timeit("Problem 1")
|
||||
@timeit("Problem 001")
|
||||
def compute():
|
||||
"""
|
||||
If we list all the natural numbers below 10 that are multiples of 3 or 5,
|
||||
@ -27,4 +27,4 @@ def compute():
|
||||
|
||||
|
||||
if __name__ == "__main__":
|
||||
print(f"Result for problem 1 is {compute()}")
|
||||
print(f"Result for problem 001: {compute()}")
|
||||
|
||||
@ -5,14 +5,14 @@ Created on 14 Mar 2017
|
||||
@author: David Doblas Jiménez
|
||||
@email: daviddoji@pm.me
|
||||
|
||||
Solution for problem 2 of Project Euler
|
||||
Solution for problem 002 of Project Euler
|
||||
https://projecteuler.net/problem=2
|
||||
"""
|
||||
|
||||
from utils import timeit
|
||||
|
||||
|
||||
@timeit("Problem 2")
|
||||
@timeit("Problem 002")
|
||||
def compute():
|
||||
"""
|
||||
Each new term in the Fibonacci sequence is generated by adding the
|
||||
@ -38,4 +38,4 @@ def compute():
|
||||
|
||||
|
||||
if __name__ == "__main__":
|
||||
print(f"Result for problem 2 is {compute()}")
|
||||
print(f"Result for problem 002: {compute()}")
|
||||
|
||||
@ -5,14 +5,14 @@ Created on 18 Mar 2017
|
||||
@author: David Doblas Jiménez
|
||||
@email: daviddoji@pm.me
|
||||
|
||||
Solution for problem 3 of Project Euler
|
||||
Solution for problem 003 of Project Euler
|
||||
https://projecteuler.net/problem=3
|
||||
"""
|
||||
|
||||
from utils import timeit
|
||||
|
||||
|
||||
@timeit("Problem 3")
|
||||
@timeit("Problem 003")
|
||||
def compute():
|
||||
"""
|
||||
The prime factors of 13195 are 5, 7, 13 and 29.
|
||||
@ -31,4 +31,4 @@ def compute():
|
||||
|
||||
|
||||
if __name__ == "__main__":
|
||||
print(f"Result for problem 3 is {compute()}")
|
||||
print(f"Result for problem 003: {compute()}")
|
||||
|
||||
@ -5,14 +5,14 @@ Created on 18 Mar 2017
|
||||
@author: David Doblas Jiménez
|
||||
@email: daviddoji@pm.me
|
||||
|
||||
Solution for problem 4 of Project Euler
|
||||
Solution for problem 004 of Project Euler
|
||||
https://projecteuler.net/problem=4
|
||||
"""
|
||||
|
||||
from utils import timeit
|
||||
|
||||
|
||||
@timeit("Problem 4")
|
||||
@timeit("Problem 004")
|
||||
def compute():
|
||||
"""
|
||||
A palindromic number reads the same both ways. The largest palindrome made
|
||||
@ -33,4 +33,4 @@ def compute():
|
||||
|
||||
|
||||
if __name__ == "__main__":
|
||||
print(f"Result for problem 4 is {compute()}")
|
||||
print(f"Result for problem 004: {compute()}")
|
||||
|
||||
@ -5,7 +5,7 @@ Created on 23 Apr 2017
|
||||
@author: David Doblas Jiménez
|
||||
@email: daviddoji@pm.me
|
||||
|
||||
Solution for problem 5 of Project Euler
|
||||
Solution for problem 005 of Project Euler
|
||||
https://projecteuler.net/problem=5
|
||||
"""
|
||||
|
||||
@ -21,7 +21,7 @@ from utils import timeit
|
||||
# computing the LCM of two numbers, i.e. LCM(a, b, c) = LCM(a, LCM(b, c))
|
||||
|
||||
|
||||
@timeit("Problem 5")
|
||||
@timeit("Problem 005")
|
||||
def compute():
|
||||
"""
|
||||
2520 is the smallest number that can be divided by each of the numbers
|
||||
@ -39,4 +39,4 @@ def compute():
|
||||
|
||||
|
||||
if __name__ == "__main__":
|
||||
print(f"Result for problem 5 is {compute()}")
|
||||
print(f"Result for problem 005: {compute()}")
|
||||
|
||||
@ -5,14 +5,14 @@ Created on 17 Jun 2017
|
||||
@author: David Doblas Jiménez
|
||||
@email: daviddoji@pm.me
|
||||
|
||||
Solution for problem 6 of Project Euler
|
||||
Solution for problem 006 of Project Euler
|
||||
https://projecteuler.net/problem=6
|
||||
"""
|
||||
|
||||
from utils import timeit
|
||||
|
||||
|
||||
@timeit("Problem 6")
|
||||
@timeit("Problem 006")
|
||||
def compute():
|
||||
"""
|
||||
The sum of the squares of the first ten natural numbers is,
|
||||
@ -36,4 +36,4 @@ def compute():
|
||||
|
||||
|
||||
if __name__ == "__main__":
|
||||
print(f"Result for Problem 6 is {compute()}")
|
||||
print(f"Result for Problem 006: {compute()}")
|
||||
|
||||
@ -5,14 +5,14 @@ Created on 28 Jun 2017
|
||||
@author: David Doblas Jiménez
|
||||
@email: daviddoji@pm.me
|
||||
|
||||
Solution for problem 7 of Project Euler
|
||||
Solution for problem 007 of Project Euler
|
||||
https://projecteuler.net/problem=7
|
||||
"""
|
||||
|
||||
from utils import is_prime, timeit
|
||||
|
||||
|
||||
@timeit("Problem 7")
|
||||
@timeit("Problem 007")
|
||||
def compute():
|
||||
"""
|
||||
By listing the first six prime numbers: 2, 3, 5, 7, 11, and 13, we can see
|
||||
@ -34,4 +34,4 @@ def compute():
|
||||
|
||||
|
||||
if __name__ == "__main__":
|
||||
print(f"Result for Problem 7 is {compute()}")
|
||||
print(f"Result for Problem 007: {compute()}")
|
||||
|
||||
@ -5,7 +5,7 @@ Created on 28 Abr 2017
|
||||
@author: David Doblas Jiménez
|
||||
@email: daviddoji@pm.me
|
||||
|
||||
Solution for problem 8 of Project Euler
|
||||
Solution for problem 008 of Project Euler
|
||||
https://projecteuler.net/problem=8
|
||||
"""
|
||||
|
||||
@ -27,7 +27,7 @@ def sliding_window(iterable, n):
|
||||
yield tuple(window)
|
||||
|
||||
|
||||
@timeit("Problem 8")
|
||||
@timeit("Problem 008")
|
||||
def compute():
|
||||
"""
|
||||
The four adjacent digits in the 1000-digit number that have the
|
||||
@ -61,6 +61,7 @@ def compute():
|
||||
05886116467109405077541002256983155200055935729725
|
||||
71636269561882670428252483600823257530420752963450
|
||||
"""
|
||||
|
||||
num = NUM.replace("\n", "").replace(" ", "")
|
||||
adjacent_digits = 13
|
||||
ans = 0
|
||||
@ -75,4 +76,4 @@ def compute():
|
||||
|
||||
|
||||
if __name__ == "__main__":
|
||||
print(f"Result for Problem 8 is {compute()}")
|
||||
print(f"Result for Problem 008: {compute()}")
|
||||
|
||||
@ -5,14 +5,14 @@ Created on 26 Aug 2017
|
||||
@author: David Doblas Jiménez
|
||||
@email: daviddoji@pm.me
|
||||
|
||||
Solution for problem 9 of Project Euler
|
||||
Solution for problem 009 of Project Euler
|
||||
https://projecteuler.net/problem=9
|
||||
"""
|
||||
|
||||
from utils import timeit
|
||||
|
||||
|
||||
@timeit("Problem 9")
|
||||
@timeit("Problem 009")
|
||||
def compute():
|
||||
"""
|
||||
A Pythagorean triplet is a set of three natural numbers, a < b < c,
|
||||
@ -34,4 +34,4 @@ def compute():
|
||||
|
||||
|
||||
if __name__ == "__main__":
|
||||
print(f"Result for Problem 9 is {compute()}")
|
||||
print(f"Result for Problem 009: {compute()}")
|
||||
|
||||
@ -5,14 +5,14 @@ Created on 26 Aug 2017
|
||||
@author: David Doblas Jiménez
|
||||
@email: daviddoji@pm.me
|
||||
|
||||
Solution for problem 10 of Project Euler
|
||||
Solution for problem 010 of Project Euler
|
||||
https://projecteuler.net/problem=10
|
||||
"""
|
||||
|
||||
from utils import list_primes, timeit
|
||||
|
||||
|
||||
@timeit("Problem 10")
|
||||
@timeit("Problem 010")
|
||||
def compute():
|
||||
"""
|
||||
The sum of the primes below 10 is 2 + 3 + 5 + 7 = 17.
|
||||
@ -26,4 +26,4 @@ def compute():
|
||||
|
||||
|
||||
if __name__ == "__main__":
|
||||
print(f"Result for Problem 10 is {compute()}")
|
||||
print(f"Result for Problem 010: {compute()}")
|
||||
|
||||
@ -5,7 +5,7 @@ Created on 07 Jul 2021
|
||||
@author: David Doblas Jiménez
|
||||
@email: daviddoji@pm.me
|
||||
|
||||
Solution for problem 11 of Project Euler
|
||||
Solution for problem 011 of Project Euler
|
||||
https://projecteuler.net/problem=11
|
||||
"""
|
||||
|
||||
@ -42,7 +42,7 @@ def grid_product(x, y, dx, dy, n):
|
||||
return result
|
||||
|
||||
|
||||
@timeit("Problem 11")
|
||||
@timeit("Problem 011")
|
||||
def compute():
|
||||
"""
|
||||
In the 20x20 grid above, four numbers along a diagonal line have been
|
||||
@ -72,4 +72,4 @@ def compute():
|
||||
|
||||
|
||||
if __name__ == "__main__":
|
||||
print(f"Result for Problem 11 is {compute()}")
|
||||
print(f"Result for Problem 011: {compute()}")
|
||||
|
||||
@ -5,7 +5,7 @@ Created on 01 Jan 2018
|
||||
@author: David Doblas Jiménez
|
||||
@email: daviddoji@pm.me
|
||||
|
||||
Solution for problem 12 of Project Euler
|
||||
Solution for problem 012 of Project Euler
|
||||
https://projecteuler.net/problem=12
|
||||
"""
|
||||
|
||||
@ -27,7 +27,7 @@ def num_divisors(n):
|
||||
return 2 * len(divs)
|
||||
|
||||
|
||||
@timeit("Problem 12")
|
||||
@timeit("Problem 012")
|
||||
def compute():
|
||||
"""
|
||||
The sequence of triangle numbers is generated by adding the natural
|
||||
@ -63,4 +63,4 @@ def compute():
|
||||
|
||||
|
||||
if __name__ == "__main__":
|
||||
print(f"Result for Problem 12 is {compute()}")
|
||||
print(f"Result for Problem 012: {compute()}")
|
||||
|
||||
@ -5,7 +5,7 @@ Created on 1 Jan 2018
|
||||
@author: David Doblas Jiménez
|
||||
@email: daviddoji@pm.me
|
||||
|
||||
Solution for problem 13 of Project Euler
|
||||
Solution for problem 013 of Project Euler
|
||||
https://projecteuler.net/problem=13
|
||||
"""
|
||||
|
||||
@ -14,14 +14,15 @@ from pathlib import Path
|
||||
from utils import timeit
|
||||
|
||||
|
||||
@timeit("Problem 13")
|
||||
@timeit("Problem 013")
|
||||
def compute():
|
||||
"""
|
||||
Work out the first ten digits of the sum of the following one-hundred
|
||||
50-digit numbers.
|
||||
"""
|
||||
_file = Path("../files/Problem13.txt")
|
||||
with open(_file, "r") as f:
|
||||
|
||||
file = Path("files/Problem13.txt")
|
||||
with open(file, "r") as f:
|
||||
num = f.readlines()
|
||||
ans = 0
|
||||
for line in num:
|
||||
@ -31,4 +32,4 @@ def compute():
|
||||
|
||||
|
||||
if __name__ == "__main__":
|
||||
print(f"Result for Problem 13 is {compute()}")
|
||||
print(f"Result for Problem 013: {compute()}")
|
||||
|
||||
@ -5,7 +5,7 @@ Created on 7 Jan 2018
|
||||
@author: David Doblas Jiménez
|
||||
@email: daviddoji@pm.me
|
||||
|
||||
Solution for problem 14 of Project Euler
|
||||
Solution for problem 014 of Project Euler
|
||||
https://projecteuler.net/problem=14
|
||||
"""
|
||||
|
||||
@ -26,7 +26,7 @@ def chain_length(n, terms):
|
||||
return length
|
||||
|
||||
|
||||
@timeit("Problem 14")
|
||||
@timeit("Problem 014")
|
||||
def compute():
|
||||
"""
|
||||
The following iterative sequence is defined for the set of positive
|
||||
@ -63,4 +63,4 @@ def compute():
|
||||
|
||||
|
||||
if __name__ == "__main__":
|
||||
print(f"Result for Problem 14 is {compute()}")
|
||||
print(f"Result for Problem 014: {compute()}")
|
||||
|
||||
@ -5,7 +5,7 @@ Created on 7 Jan 2018
|
||||
@author: David Doblas Jiménez
|
||||
@email: daviddoji@pm.me
|
||||
|
||||
Solution for problem 15 of Project Euler
|
||||
Solution for problem 015 of Project Euler
|
||||
https://projecteuler.net/problem=15
|
||||
"""
|
||||
|
||||
@ -14,7 +14,7 @@ from math import factorial
|
||||
from utils import timeit
|
||||
|
||||
|
||||
@timeit("Problem 15")
|
||||
@timeit("Problem 015")
|
||||
def compute():
|
||||
"""
|
||||
Starting in the top left corner of a 2x2 grid, and only being able to
|
||||
@ -25,8 +25,10 @@ def compute():
|
||||
"""
|
||||
|
||||
n = 20
|
||||
return int(factorial(2 * n) / (factorial(n) * factorial(2 * n - n)))
|
||||
ans = int(factorial(2 * n) / (factorial(n) * factorial(2 * n - n)))
|
||||
|
||||
return ans
|
||||
|
||||
|
||||
if __name__ == "__main__":
|
||||
print(f"Result for Problem 15 is {compute()}")
|
||||
print(f"Result for Problem 015: {compute()}")
|
||||
|
||||
@ -5,14 +5,14 @@ Created on 13 Jan 2018
|
||||
@author: David Doblas Jiménez
|
||||
@email: daviddoji@pm.me
|
||||
|
||||
Solution for problem 16 of Project Euler
|
||||
Solution for problem 016 of Project Euler
|
||||
https://projecteuler.net/problem=16
|
||||
"""
|
||||
|
||||
from utils import timeit
|
||||
|
||||
|
||||
@timeit("Problem 16")
|
||||
@timeit("Problem 016")
|
||||
def compute():
|
||||
"""
|
||||
2^15 = 32768 and the sum of its digits is 3 + 2 + 7 + 6 + 8 = 26.
|
||||
@ -21,8 +21,10 @@ def compute():
|
||||
"""
|
||||
|
||||
n = 1000
|
||||
return sum(int(digit) for digit in str(2**n))
|
||||
ans = sum(int(digit) for digit in str(2**n))
|
||||
|
||||
return ans
|
||||
|
||||
|
||||
if __name__ == "__main__":
|
||||
print(f"Result for Problem 16 is {compute()}")
|
||||
print(f"Result for Problem 016: {compute()}")
|
||||
|
||||
@ -5,7 +5,7 @@ Created on 13 Jan 2018
|
||||
@author: David Doblas Jiménez
|
||||
@email: daviddoji@pm.me
|
||||
|
||||
Solution for problem 17 of Project Euler
|
||||
Solution for problem 017 of Project Euler
|
||||
https://projecteuler.net/problem=17
|
||||
"""
|
||||
|
||||
@ -67,7 +67,7 @@ def num_to_letters(num):
|
||||
return num_to_letters(thousands) + len(nums[1000])
|
||||
|
||||
|
||||
@timeit("Problem 17")
|
||||
@timeit("Problem 017")
|
||||
def compute():
|
||||
"""
|
||||
If the numbers 1 to 5 are written out in words: one, two, three, four,
|
||||
@ -83,11 +83,12 @@ def compute():
|
||||
"""
|
||||
|
||||
n = 1000
|
||||
letters = 0
|
||||
ans = 0
|
||||
for num in range(1, n + 1):
|
||||
letters += num_to_letters(num)
|
||||
return letters
|
||||
ans += num_to_letters(num)
|
||||
|
||||
return ans
|
||||
|
||||
|
||||
if __name__ == "__main__":
|
||||
print(f"Result for Problem 17 is {compute()}")
|
||||
print(f"Result for Problem 017: {compute()}")
|
||||
|
||||
@ -5,7 +5,7 @@ Created on 15 Sep 2018
|
||||
@author: David Doblas Jiménez
|
||||
@email: daviddoji@pm.me
|
||||
|
||||
Solution for problem 18 of Project Euler
|
||||
Solution for problem 018 of Project Euler
|
||||
https://projecteuler.net/problem=18
|
||||
"""
|
||||
|
||||
@ -30,7 +30,7 @@ triangle = [
|
||||
]
|
||||
|
||||
|
||||
@timeit("Problem 18")
|
||||
@timeit("Problem 018")
|
||||
def compute():
|
||||
"""
|
||||
By starting at the top of the triangle below and moving to adjacent
|
||||
@ -54,4 +54,4 @@ def compute():
|
||||
|
||||
|
||||
if __name__ == "__main__":
|
||||
print(f"Result for Problem 18 is {compute()}")
|
||||
print(f"Result for Problem 018: {compute()}")
|
||||
|
||||
@ -5,7 +5,7 @@ Created on 15 Sep 2018
|
||||
@author: David Doblas Jiménez
|
||||
@email: daviddoji@pm.me
|
||||
|
||||
Solution for problem 19 of Project Euler
|
||||
Solution for problem 019 of Project Euler
|
||||
https://projecteuler.net/problem=19
|
||||
"""
|
||||
|
||||
@ -14,7 +14,7 @@ from datetime import date
|
||||
from utils import timeit
|
||||
|
||||
|
||||
@timeit("Problem 19")
|
||||
@timeit("Problem 019")
|
||||
def compute():
|
||||
"""
|
||||
You are given the following information, but you may prefer to do some
|
||||
@ -33,13 +33,14 @@ def compute():
|
||||
century (1 Jan 1901 to 31 Dec 2000)?
|
||||
"""
|
||||
|
||||
sundays = 0
|
||||
ans = 0
|
||||
for year in range(1901, 2001):
|
||||
for month in range(1, 13):
|
||||
if date(year, month, 1).weekday() == 6:
|
||||
sundays += 1
|
||||
return sundays
|
||||
ans += 1
|
||||
|
||||
return ans
|
||||
|
||||
|
||||
if __name__ == "__main__":
|
||||
print(f"Result for Problem 19 is {compute()}")
|
||||
print(f"Result for Problem 019: {compute()}")
|
||||
|
||||
@ -5,7 +5,7 @@ Created on 15 Sep 2018
|
||||
@author: David Doblas Jiménez
|
||||
@email: daviddoji@pm.me
|
||||
|
||||
Solution for problem 20 of Project Euler
|
||||
Solution for problem 020 of Project Euler
|
||||
https://projecteuler.net/problem=20
|
||||
"""
|
||||
|
||||
@ -14,7 +14,7 @@ from math import factorial
|
||||
from utils import timeit
|
||||
|
||||
|
||||
@timeit("Problem 20")
|
||||
@timeit("Problem 020")
|
||||
def compute():
|
||||
"""
|
||||
n! means n x (n - 1) x ... x 3 x 2 x 1
|
||||
@ -33,4 +33,4 @@ def compute():
|
||||
|
||||
|
||||
if __name__ == "__main__":
|
||||
print(f"Result for Problem 20 is {compute()}")
|
||||
print(f"Result for Problem 020: {compute()}")
|
||||
|
||||
@ -5,7 +5,7 @@ Created on 15 Sep 2018
|
||||
@author: David Doblas Jiménez
|
||||
@email: daviddoji@pm.me
|
||||
|
||||
Solution for problem 21 of Project Euler
|
||||
Solution for problem 021 of Project Euler
|
||||
https://projecteuler.net/problem=21
|
||||
"""
|
||||
|
||||
@ -16,7 +16,7 @@ def sum_divisors(n):
|
||||
return sum(i for i in range(1, n // 2 + 1) if n % i == 0)
|
||||
|
||||
|
||||
@timeit("Problem 21")
|
||||
@timeit("Problem 021")
|
||||
def compute():
|
||||
"""
|
||||
Let d(n) be defined as the sum of proper divisors of n (numbers
|
||||
@ -42,4 +42,4 @@ def compute():
|
||||
|
||||
|
||||
if __name__ == "__main__":
|
||||
print(f"Result for Problem 21 is {compute()}")
|
||||
print(f"Result for Problem 021: {compute()}")
|
||||
|
||||
@ -5,7 +5,7 @@ Created on 31 Dec 2018
|
||||
@author: David Doblas Jiménez
|
||||
@email: daviddoji@pm.me
|
||||
|
||||
Solution for problem 22 of Project Euler
|
||||
Solution for problem 022 of Project Euler
|
||||
https://projecteuler.net/problem=22
|
||||
"""
|
||||
|
||||
@ -14,7 +14,7 @@ from pathlib import Path
|
||||
from utils import timeit
|
||||
|
||||
|
||||
@timeit("Problem 22")
|
||||
@timeit("Problem 022")
|
||||
def compute():
|
||||
"""
|
||||
Using names.txt, a 46K text file containing over five-thousand first names,
|
||||
@ -29,7 +29,7 @@ def compute():
|
||||
What is the total of all the name scores in the file?
|
||||
"""
|
||||
|
||||
file = Path("../files/Problem22.txt")
|
||||
file = Path("files/Problem22.txt")
|
||||
with open(file, "r") as f:
|
||||
names = sorted(f.read().replace('"', "").split(","))
|
||||
|
||||
@ -41,4 +41,4 @@ def compute():
|
||||
|
||||
|
||||
if __name__ == "__main__":
|
||||
print(f"Result for Problem 22 is {compute()}")
|
||||
print(f"Result for Problem 022: {compute()}")
|
||||
|
||||
@ -5,7 +5,7 @@ Created on 05 Jan 2019
|
||||
@author: David Doblas Jiménez
|
||||
@email: daviddoji@pm.me
|
||||
|
||||
Solution for problem 23 of Project Euler
|
||||
Solution for problem 023 of Project Euler
|
||||
https://projecteuler.net/problem=23
|
||||
"""
|
||||
|
||||
@ -13,7 +13,7 @@ https://projecteuler.net/problem=23
|
||||
from utils import timeit
|
||||
|
||||
|
||||
@timeit("Problem 23")
|
||||
@timeit("Problem 023")
|
||||
def compute():
|
||||
"""
|
||||
A perfect number is a number for which the sum of its proper divisors is
|
||||
@ -58,4 +58,4 @@ def compute():
|
||||
|
||||
|
||||
if __name__ == "__main__":
|
||||
print(f"Result for Problem 23 is {compute()}")
|
||||
print(f"Result for Problem 023: {compute()}")
|
||||
|
||||
@ -5,7 +5,7 @@ Created on 11 Sep 2019
|
||||
@author: David Doblas Jiménez
|
||||
@email: daviddoji@pm.me
|
||||
|
||||
Solution for problem 24 of Project Euler
|
||||
Solution for problem 024 of Project Euler
|
||||
https://projecteuler.net/problem=24
|
||||
"""
|
||||
|
||||
@ -14,7 +14,7 @@ from itertools import permutations
|
||||
from utils import timeit
|
||||
|
||||
|
||||
@timeit("Problem 24")
|
||||
@timeit("Problem 024")
|
||||
def compute():
|
||||
"""
|
||||
A permutation is an ordered arrangement of objects. For example, 3124 is
|
||||
@ -30,9 +30,10 @@ def compute():
|
||||
|
||||
digits = list(range(10))
|
||||
_permutations = list(permutations(digits))
|
||||
ans = "".join(str(digit) for digit in _permutations[999_999])
|
||||
|
||||
return "".join(str(digit) for digit in _permutations[999_999])
|
||||
return ans
|
||||
|
||||
|
||||
if __name__ == "__main__":
|
||||
print(f"Result for Problem 24 is {compute()}")
|
||||
print(f"Result for Problem 024: {compute()}")
|
||||
|
||||
@ -5,14 +5,14 @@ Created on 11 Sep 2019
|
||||
@author: David Doblas Jiménez
|
||||
@email: daviddoji@pm.me
|
||||
|
||||
Solution for problem 25 of Project Euler
|
||||
Solution for problem 025 of Project Euler
|
||||
https://projecteuler.net/problem=25
|
||||
"""
|
||||
|
||||
from utils import timeit
|
||||
|
||||
|
||||
@timeit("Problem 25")
|
||||
@timeit("Problem 025")
|
||||
def compute():
|
||||
"""
|
||||
The Fibonacci sequence is defined by the recurrence relation:
|
||||
@ -50,4 +50,4 @@ def compute():
|
||||
|
||||
|
||||
if __name__ == "__main__":
|
||||
print(f"Result for Problem 25 is {compute()}")
|
||||
print(f"Result for Problem 025: {compute()}")
|
||||
|
||||
@ -5,14 +5,14 @@ Created on 11 Sep 2019
|
||||
@author: David Doblas Jiménez
|
||||
@email: daviddoji@pm.me
|
||||
|
||||
Solution for problem 26 of Project Euler
|
||||
Solution for problem 026 of Project Euler
|
||||
https://projecteuler.net/problem=26
|
||||
"""
|
||||
|
||||
from utils import timeit
|
||||
|
||||
|
||||
@timeit("Problem 26")
|
||||
@timeit("Problem 026")
|
||||
def compute():
|
||||
"""
|
||||
A unit fraction contains 1 in the numerator. The decimal representation
|
||||
@ -50,4 +50,4 @@ def compute():
|
||||
|
||||
|
||||
if __name__ == "__main__":
|
||||
print(f"Result for Problem 26 is {compute()}")
|
||||
print(f"Result for Problem 026: {compute()}")
|
||||
|
||||
@ -5,14 +5,14 @@ Created on 15 Sep 2019
|
||||
@author: David Doblas Jiménez
|
||||
@email: daviddoji@pm.me
|
||||
|
||||
Solution for problem 27 of Project Euler
|
||||
Solution for problem 027 of Project Euler
|
||||
https://projecteuler.net/problem=27
|
||||
"""
|
||||
|
||||
from utils import is_prime, timeit
|
||||
|
||||
|
||||
@timeit("Problem 27")
|
||||
@timeit("Problem 027")
|
||||
def compute():
|
||||
"""
|
||||
Euler discovered the remarkable quadratic formula:
|
||||
@ -56,4 +56,4 @@ def compute():
|
||||
|
||||
|
||||
if __name__ == "__main__":
|
||||
print(f"Result for Problem 27 is {compute()}")
|
||||
print(f"Result for Problem 027: {compute()}")
|
||||
|
||||
@ -5,14 +5,14 @@ Created on 3 Jan 2020
|
||||
@author: David Doblas Jiménez
|
||||
@email: daviddoji@pm.me
|
||||
|
||||
Solution for problem 28 of Project Euler
|
||||
Solution for problem 028 of Project Euler
|
||||
https://projecteuler.net/problem=28
|
||||
"""
|
||||
|
||||
from utils import timeit
|
||||
|
||||
|
||||
@timeit("Problem 28")
|
||||
@timeit("Problem 028")
|
||||
def compute():
|
||||
"""
|
||||
Starting with the number 1 and moving to the right in a clockwise
|
||||
@ -45,4 +45,4 @@ def compute():
|
||||
|
||||
|
||||
if __name__ == "__main__":
|
||||
print(f"Result for Problem 28 is {compute()}")
|
||||
print(f"Result for Problem 028: {compute()}")
|
||||
|
||||
@ -5,7 +5,7 @@ Created on 3 Jan 2020
|
||||
@author: David Doblas Jiménez
|
||||
@email: daviddoji@pm.me
|
||||
|
||||
Solution for problem 29 of Project Euler
|
||||
Solution for problem 029 of Project Euler
|
||||
https://projecteuler.net/problem=29
|
||||
"""
|
||||
from itertools import product
|
||||
@ -13,7 +13,7 @@ from itertools import product
|
||||
from utils import timeit
|
||||
|
||||
|
||||
@timeit("Problem 29")
|
||||
@timeit("Problem 029")
|
||||
def compute():
|
||||
"""
|
||||
Consider all integer combinations of ab for 2 ≤ a ≤ 5 and 2 ≤ b ≤ 5:
|
||||
@ -38,4 +38,4 @@ def compute():
|
||||
|
||||
|
||||
if __name__ == "__main__":
|
||||
print(f"Result for Problem 29 is {compute()}")
|
||||
print(f"Result for Problem 029: {compute()}")
|
||||
|
||||
@ -5,7 +5,7 @@ Created on 3 Jan 2020
|
||||
@author: David Doblas Jiménez
|
||||
@email: daviddoji@pm.me
|
||||
|
||||
Solution for problem 30 of Project Euler
|
||||
Solution for problem 030 of Project Euler
|
||||
https://projecteuler.net/problem=30
|
||||
"""
|
||||
|
||||
@ -16,7 +16,7 @@ def power_digit_sum(pow, n):
|
||||
return sum(int(c) ** pow for c in str(n))
|
||||
|
||||
|
||||
@timeit("Problem 30")
|
||||
@timeit("Problem 030")
|
||||
def compute():
|
||||
"""
|
||||
Surprisingly there are only three numbers that can be written as the sum
|
||||
@ -40,4 +40,4 @@ def compute():
|
||||
|
||||
|
||||
if __name__ == "__main__":
|
||||
print(f"Result for Problem 30 is {compute()}")
|
||||
print(f"Result for Problem 030: {compute()}")
|
||||
|
||||
@ -5,7 +5,7 @@ Created on 24 Feb 2021
|
||||
@author: David Doblas Jiménez
|
||||
@email: daviddoji@pm.me
|
||||
|
||||
Solution for problem 31 of Project Euler
|
||||
Solution for problem 031 of Project Euler
|
||||
https://projecteuler.net/problem=31
|
||||
"""
|
||||
|
||||
@ -14,7 +14,7 @@ from itertools import product
|
||||
from utils import timeit
|
||||
|
||||
|
||||
@timeit("Problem 31")
|
||||
@timeit("Problem 031")
|
||||
def compute():
|
||||
"""
|
||||
In the United Kingdom the currency is made up of pound (£) and pence (p).
|
||||
@ -29,6 +29,7 @@ def compute():
|
||||
How many different ways can £2 be made using any number of coins?
|
||||
|
||||
"""
|
||||
|
||||
ans = 0
|
||||
coins = [2, 5, 10, 20, 50, 100]
|
||||
bunch_of_coins = product(*[range(0, 201, i) for i in coins])
|
||||
@ -42,4 +43,4 @@ def compute():
|
||||
|
||||
|
||||
if __name__ == "__main__":
|
||||
print(f"Result for Problem 31 is {compute()}")
|
||||
print(f"Result for Problem 031: {compute()}")
|
||||
|
||||
@ -5,14 +5,14 @@ Created on 26 Feb 2021
|
||||
@author: David Doblas Jiménez
|
||||
@email: daviddoji@pm.me
|
||||
|
||||
Solution for problem 32 of Project Euler
|
||||
Solution for problem 032 of Project Euler
|
||||
https://projecteuler.net/problem=32
|
||||
"""
|
||||
|
||||
from utils import timeit
|
||||
|
||||
|
||||
@timeit("Problem 32")
|
||||
@timeit("Problem 032")
|
||||
def compute():
|
||||
"""
|
||||
We shall say that an n-digit number is pandigital if it makes use of all
|
||||
@ -41,4 +41,4 @@ def compute():
|
||||
|
||||
|
||||
if __name__ == "__main__":
|
||||
print(f"Result for Problem 32 is {compute()}")
|
||||
print(f"Result for Problem 032: {compute()}")
|
||||
|
||||
@ -5,14 +5,14 @@ Created on 04 Mar 2021
|
||||
@author: David Doblas Jiménez
|
||||
@email: daviddoji@pm.me
|
||||
|
||||
Solution for problem 33 of Project Euler
|
||||
Solution for problem 033 of Project Euler
|
||||
https://projecteuler.net/problem=33
|
||||
"""
|
||||
|
||||
from utils import timeit
|
||||
|
||||
|
||||
@timeit("Problem 33")
|
||||
@timeit("Problem 033")
|
||||
def compute():
|
||||
"""
|
||||
The fraction 49/98 is a curious fraction, as an inexperienced mathematician
|
||||
@ -39,9 +39,10 @@ def compute():
|
||||
if int(str(x)[0]) / int(str(y)[1]) == x / y:
|
||||
numerator *= x
|
||||
denominator *= y
|
||||
ans = int(denominator / numerator)
|
||||
|
||||
return int(denominator / numerator)
|
||||
return ans
|
||||
|
||||
|
||||
if __name__ == "__main__":
|
||||
print(f"Result for Problem 33 is {compute()}")
|
||||
print(f"Result for Problem 033: {compute()}")
|
||||
|
||||
@ -5,7 +5,7 @@ Created on 02 Apr 2021
|
||||
@author: David Doblas Jiménez
|
||||
@email: daviddoji@pm.me
|
||||
|
||||
Solution for problem 34 of Project Euler
|
||||
Solution for problem 034 of Project Euler
|
||||
https://projecteuler.net/problem=34
|
||||
"""
|
||||
|
||||
@ -14,7 +14,7 @@ from math import factorial
|
||||
from utils import timeit
|
||||
|
||||
|
||||
@timeit("Problem 34")
|
||||
@timeit("Problem 034")
|
||||
def compute():
|
||||
"""
|
||||
145 is a curious number, as 1! + 4! + 5! = 1 + 24 + 120 = 145.
|
||||
@ -26,7 +26,6 @@ def compute():
|
||||
"""
|
||||
|
||||
ans = 0
|
||||
|
||||
for num in range(10, 2_540_160):
|
||||
sum_of_factorial = 0
|
||||
for digit in str(num):
|
||||
@ -38,4 +37,4 @@ def compute():
|
||||
|
||||
|
||||
if __name__ == "__main__":
|
||||
print(f"Result for Problem 34 is {compute()}")
|
||||
print(f"Result for Problem 034: {compute()}")
|
||||
|
||||
@ -5,7 +5,7 @@ Created on 02 Apr 2021
|
||||
@author: David Doblas Jiménez
|
||||
@email: daviddoji@pm.me
|
||||
|
||||
Solution for problem 35 of Project Euler
|
||||
Solution for problem 035 of Project Euler
|
||||
https://projecteuler.net/problem=35
|
||||
"""
|
||||
|
||||
@ -17,11 +17,10 @@ def circular_number(number):
|
||||
ans = []
|
||||
for i in range(len(num_str)):
|
||||
ans.append(int(num_str[i:] + num_str[:i]))
|
||||
|
||||
return ans
|
||||
|
||||
|
||||
@timeit("Problem 35")
|
||||
@timeit("Problem 035")
|
||||
def compute():
|
||||
"""
|
||||
The number, 197, is called a circular prime because all rotations of the
|
||||
@ -48,4 +47,4 @@ def compute():
|
||||
|
||||
|
||||
if __name__ == "__main__":
|
||||
print(f"Result for Problem 35 is {compute()}")
|
||||
print(f"Result for Problem 035: {compute()}")
|
||||
|
||||
@ -5,7 +5,7 @@ Created on 08 Apr 2021
|
||||
@author: David Doblas Jiménez
|
||||
@email: daviddoji@pm.me
|
||||
|
||||
Solution for problem 36 of Project Euler
|
||||
Solution for problem 036 of Project Euler
|
||||
https://projecteuler.net/problem=36
|
||||
"""
|
||||
|
||||
@ -16,7 +16,7 @@ def is_palidrome(num):
|
||||
return str(num) == str(num)[::-1]
|
||||
|
||||
|
||||
@timeit("Problem 36")
|
||||
@timeit("Problem 036")
|
||||
def compute():
|
||||
"""
|
||||
The decimal number, 585 = 1001001001_2 (binary), is palindromic
|
||||
@ -35,4 +35,4 @@ def compute():
|
||||
|
||||
|
||||
if __name__ == "__main__":
|
||||
print(f"Result for Problem 36 is {compute()}")
|
||||
print(f"Result for Problem 036: {compute()}")
|
||||
|
||||
@ -5,7 +5,7 @@ Created on 09 Apr 2021
|
||||
@author: David Doblas Jiménez
|
||||
@email: daviddoji@pm.me
|
||||
|
||||
Solution for problem 37 of Project Euler
|
||||
Solution for problem 037 of Project Euler
|
||||
https://projecteuler.net/problem=37
|
||||
"""
|
||||
|
||||
@ -17,11 +17,10 @@ def is_truncatable_prime(number):
|
||||
for i in range(1, len(num_str)):
|
||||
if not is_prime(int(num_str[i:])) or not is_prime(int(num_str[:-i])):
|
||||
return False
|
||||
|
||||
return True
|
||||
|
||||
|
||||
@timeit("Problem 37")
|
||||
@timeit("Problem 037")
|
||||
def compute():
|
||||
"""
|
||||
The number 3797 has an interesting property. Being prime itself, it is
|
||||
@ -46,4 +45,4 @@ def compute():
|
||||
|
||||
|
||||
if __name__ == "__main__":
|
||||
print(f"Result for Problem 37 is {compute()}")
|
||||
print(f"Result for Problem 037: {compute()}")
|
||||
|
||||
@ -5,14 +5,14 @@ Created on 03 Jun 2021
|
||||
@author: David Doblas Jiménez
|
||||
@email: daviddoji@pm.me
|
||||
|
||||
Solution for problem 38 of Project Euler
|
||||
Solution for problem 038 of Project Euler
|
||||
https://projecteuler.net/problem=38
|
||||
"""
|
||||
|
||||
from utils import timeit
|
||||
|
||||
|
||||
@timeit("Problem 38")
|
||||
@timeit("Problem 038")
|
||||
def compute():
|
||||
"""
|
||||
Take the number 192 and multiply it by each of 1, 2, and 3:
|
||||
@ -44,11 +44,10 @@ def compute():
|
||||
number += str(integer * i)
|
||||
if sorted(number) == list("123456789"):
|
||||
ans.append(number)
|
||||
|
||||
integer += 1
|
||||
|
||||
return max(ans)
|
||||
|
||||
|
||||
if __name__ == "__main__":
|
||||
print(f"Result for Problem 38 is {compute()}")
|
||||
print(f"Result for Problem 038: {compute()}")
|
||||
|
||||
@ -5,14 +5,14 @@ Created on 05 Jun 2021
|
||||
@author: David Doblas Jiménez
|
||||
@email: daviddoji@pm.me
|
||||
|
||||
Solution for problem 39 of Project Euler
|
||||
Solution for problem 039 of Project Euler
|
||||
https://projecteuler.net/problem=39
|
||||
"""
|
||||
|
||||
from utils import timeit
|
||||
|
||||
|
||||
@timeit("Problem 39")
|
||||
@timeit("Problem 039")
|
||||
def compute():
|
||||
"""
|
||||
If p is the perimeter of a right angle triangle with integral length sides,
|
||||
@ -42,4 +42,4 @@ def compute():
|
||||
|
||||
|
||||
if __name__ == "__main__":
|
||||
print(f"Result for Problem 39 is {compute()}")
|
||||
print(f"Result for Problem 039: {compute()}")
|
||||
|
||||
@ -5,14 +5,14 @@ Created on 23 Jun 2021
|
||||
@author: David Doblas Jiménez
|
||||
@email: daviddoji@pm.me
|
||||
|
||||
Solution for problem 40 of Project Euler
|
||||
Solution for problem 040 of Project Euler
|
||||
https://projecteuler.net/problem=40
|
||||
"""
|
||||
|
||||
from utils import timeit
|
||||
|
||||
|
||||
@timeit("Problem 40")
|
||||
@timeit("Problem 040")
|
||||
def compute():
|
||||
"""
|
||||
An irrational decimal fraction is created by concatenating the positive
|
||||
@ -41,4 +41,4 @@ def compute():
|
||||
|
||||
|
||||
if __name__ == "__main__":
|
||||
print(f"Result for Problem 40 is {compute()}")
|
||||
print(f"Result for Problem 040: {compute()}")
|
||||
|
||||
@ -5,14 +5,22 @@ Created on 29 Jun 2021
|
||||
@author: David Doblas Jiménez
|
||||
@email: daviddoji@pm.me
|
||||
|
||||
Solution for problem 41 of Project Euler
|
||||
Solution for problem 041 of Project Euler
|
||||
https://projecteuler.net/problem=41
|
||||
"""
|
||||
|
||||
from utils import is_prime, timeit
|
||||
|
||||
|
||||
@timeit("Problem 41")
|
||||
def is_pandigital(number):
|
||||
number = sorted(str(number))
|
||||
check = [str(i) for i in range(1, len(number) + 1)]
|
||||
if number == check:
|
||||
return True
|
||||
return False
|
||||
|
||||
|
||||
@timeit("Problem 041")
|
||||
def compute():
|
||||
"""
|
||||
We shall say that an n-digit number is pandigital if it makes
|
||||
@ -22,14 +30,6 @@ def compute():
|
||||
What is the largest n-digit pandigital prime that exists?
|
||||
"""
|
||||
|
||||
def is_pandigital(number):
|
||||
number = sorted(str(number))
|
||||
check = [str(i) for i in range(1, len(number) + 1)]
|
||||
if number == check:
|
||||
return True
|
||||
|
||||
return False
|
||||
|
||||
for ans in range(7654321, 1, -1):
|
||||
if is_pandigital(ans):
|
||||
if is_prime(ans):
|
||||
@ -37,4 +37,4 @@ def compute():
|
||||
|
||||
|
||||
if __name__ == "__main__":
|
||||
print(f"Result for Problem 41 is {compute()}")
|
||||
print(f"Result for Problem 041: {compute()}")
|
||||
|
||||
@ -5,7 +5,7 @@ Created on 26 Jul 2021
|
||||
@author: David Doblas Jiménez
|
||||
@email: daviddoji@pm.me
|
||||
|
||||
Solution for problem 42 of Project Euler
|
||||
Solution for problem 042 of Project Euler
|
||||
https://projecteuler.net/problem=42
|
||||
"""
|
||||
|
||||
@ -22,7 +22,7 @@ def word_to_value(word):
|
||||
return sum(ord(letter) - 64 for letter in word)
|
||||
|
||||
|
||||
@timeit("Problem 42")
|
||||
@timeit("Problem 042")
|
||||
def compute():
|
||||
"""
|
||||
The nth term of the sequence of triangle numbers is given by,
|
||||
@ -42,7 +42,7 @@ def compute():
|
||||
triangular_numbers = [triangle_number(n) for n in range(27)]
|
||||
ans = 0
|
||||
|
||||
file = Path("../files/Problem42.txt")
|
||||
file = Path("files/Problem42.txt")
|
||||
with open(file, "r") as f:
|
||||
words = f.readline().strip('"').split('","')
|
||||
for word in words:
|
||||
@ -53,4 +53,4 @@ def compute():
|
||||
|
||||
|
||||
if __name__ == "__main__":
|
||||
print(f"Result for Problem 42 is {compute()}")
|
||||
print(f"Result for Problem 042: {compute()}")
|
||||
|
||||
@ -5,7 +5,7 @@ Created on 03 Aug 2021
|
||||
@author: David Doblas Jiménez
|
||||
@email: daviddoji@pm.me
|
||||
|
||||
Solution for problem 43 of Project Euler
|
||||
Solution for problem 043 of Project Euler
|
||||
https://projecteuler.net/problem=43
|
||||
"""
|
||||
|
||||
@ -14,7 +14,7 @@ from itertools import permutations
|
||||
from utils import timeit
|
||||
|
||||
|
||||
@timeit("Problem 43")
|
||||
@timeit("Problem 043")
|
||||
def compute():
|
||||
"""
|
||||
The number, 1406357289, is a 0 to 9 pandigital number because
|
||||
@ -34,6 +34,7 @@ def compute():
|
||||
|
||||
Find the sum of all 0 to 9 pandigital numbers with this property.
|
||||
"""
|
||||
|
||||
ans = []
|
||||
pandigital = ["0", "1", "2", "3", "4", "5", "6", "7", "8", "9"]
|
||||
|
||||
@ -53,4 +54,4 @@ def compute():
|
||||
|
||||
|
||||
if __name__ == "__main__":
|
||||
print(f"Result for Problem 43 is {compute()}")
|
||||
print(f"Result for Problem 043: {compute()}")
|
||||
|
||||
@ -5,7 +5,7 @@ Created on 30 Aug 2021
|
||||
@author: David Doblas Jiménez
|
||||
@email: daviddoji@pm.me
|
||||
|
||||
Solution for problem 44 of Project Euler
|
||||
Solution for problem 044 of Project Euler
|
||||
https://projecteuler.net/problem=44
|
||||
"""
|
||||
|
||||
@ -19,7 +19,7 @@ def pentagonal(n):
|
||||
return int(n * (3 * n - 1) / 2)
|
||||
|
||||
|
||||
@timeit("Problem 44")
|
||||
@timeit("Problem 044")
|
||||
def compute():
|
||||
"""
|
||||
Pentagonal numbers are generated by the formula, Pn=n(3n-1)/2.
|
||||
@ -49,4 +49,4 @@ def compute():
|
||||
|
||||
|
||||
if __name__ == "__main__":
|
||||
print(f"Result for Problem 44 is {compute()}")
|
||||
print(f"Result for Problem 044: {compute()}")
|
||||
|
||||
@ -5,7 +5,7 @@ Created on 09 Sep 2021
|
||||
@author: David Doblas Jiménez
|
||||
@email: daviddoji@pm.me
|
||||
|
||||
Solution for problem 45 of Project Euler
|
||||
Solution for problem 045 of Project Euler
|
||||
https://projecteuler.net/problem=45
|
||||
"""
|
||||
|
||||
@ -20,7 +20,7 @@ def hexagonal(n):
|
||||
return int(n * (2 * n - 1))
|
||||
|
||||
|
||||
@timeit("Problem 45")
|
||||
@timeit("Problem 045")
|
||||
def compute():
|
||||
"""
|
||||
Triangle, pentagonal, and hexagonal numbers are generated by the following formulae:
|
||||
@ -43,4 +43,4 @@ def compute():
|
||||
|
||||
|
||||
if __name__ == "__main__":
|
||||
print(f"Result for Problem 45 is {compute()}")
|
||||
print(f"Result for Problem 045: {compute()}")
|
||||
|
||||
@ -5,7 +5,7 @@ Created on 12 Sep 2021
|
||||
@author: David Doblas Jiménez
|
||||
@email: daviddoji@pm.me
|
||||
|
||||
Solution for problem 46 of Project Euler
|
||||
Solution for problem 046 of Project Euler
|
||||
https://projecteuler.net/problem=46
|
||||
"""
|
||||
|
||||
@ -16,11 +16,10 @@ def is_goldbach(number):
|
||||
for i in range(number - 1, 1, -1):
|
||||
if is_prime(i) and ((number - i) / 2) ** 0.5 % 1 == 0:
|
||||
return True
|
||||
|
||||
return False
|
||||
|
||||
|
||||
@timeit("Problem 46")
|
||||
@timeit("Problem 046")
|
||||
def compute():
|
||||
"""
|
||||
It was proposed by Christian Goldbach that every odd composite number
|
||||
@ -47,4 +46,4 @@ def compute():
|
||||
|
||||
|
||||
if __name__ == "__main__":
|
||||
print(f"Result for Problem 46 is {compute()}")
|
||||
print(f"Result for Problem 046: {compute()}")
|
||||
|
||||
@ -5,7 +5,7 @@ Created on 12 Sep 2021
|
||||
@author: David Doblas Jiménez
|
||||
@email: daviddoji@pm.me
|
||||
|
||||
Solution for problem 47 of Project Euler
|
||||
Solution for problem 047 of Project Euler
|
||||
https://projecteuler.net/problem=47
|
||||
"""
|
||||
|
||||
@ -23,11 +23,10 @@ def factor(n):
|
||||
d += 1
|
||||
if n > 1:
|
||||
ans.append(n)
|
||||
|
||||
return ans
|
||||
|
||||
|
||||
@timeit("Problem 47")
|
||||
@timeit("Problem 047")
|
||||
def compute():
|
||||
"""
|
||||
The first two consecutive numbers to have two distinct prime factors are:
|
||||
@ -61,4 +60,4 @@ def compute():
|
||||
|
||||
|
||||
if __name__ == "__main__":
|
||||
print(f"Result for Problem 47 is {compute()}")
|
||||
print(f"Result for Problem 047: {compute()}")
|
||||
|
||||
@ -5,14 +5,14 @@ Created on 12 Sep 2021
|
||||
@author: David Doblas Jiménez
|
||||
@email: daviddoji@pm.me
|
||||
|
||||
Solution for problem 48 of Project Euler
|
||||
Solution for problem 048 of Project Euler
|
||||
https://projecteuler.net/problem=48
|
||||
"""
|
||||
|
||||
from utils import timeit
|
||||
|
||||
|
||||
@timeit("Problem 48")
|
||||
@timeit("Problem 048")
|
||||
def compute():
|
||||
"""
|
||||
The series, 1^1 + 2^2 + 3^3 + ... + 10^10 = 10405071317.
|
||||
@ -21,8 +21,10 @@ def compute():
|
||||
"""
|
||||
|
||||
series = sum(i**i for i in range(1, 1001))
|
||||
return str(series)[-10:]
|
||||
ans = str(series)[-10:]
|
||||
|
||||
return ans
|
||||
|
||||
|
||||
if __name__ == "__main__":
|
||||
print(f"Result for Problem 48 is {compute()}")
|
||||
print(f"Result for Problem 048: {compute()}")
|
||||
|
||||
@ -5,14 +5,14 @@ Created on 18 Sep 2021
|
||||
@author: David Doblas Jiménez
|
||||
@email: daviddoji@pm.me
|
||||
|
||||
Solution for problem 49 of Project Euler
|
||||
Solution for problem 049 of Project Euler
|
||||
https://projecteuler.net/problem=49
|
||||
"""
|
||||
|
||||
from utils import list_primes, timeit
|
||||
|
||||
|
||||
@timeit("Problem 49")
|
||||
@timeit("Problem 049")
|
||||
def compute():
|
||||
"""
|
||||
The arithmetic sequence, 1487, 4817, 8147, in which each of the terms
|
||||
@ -39,9 +39,10 @@ def compute():
|
||||
):
|
||||
if number + 3330 in primes_list and number + 6660 in primes_list:
|
||||
ans.append(str(number) + str(number + 3300) + str(number + 6660))
|
||||
|
||||
# return the second one
|
||||
return ans[1]
|
||||
|
||||
|
||||
if __name__ == "__main__":
|
||||
print(f"Result for Problem 49 is {compute()}")
|
||||
print(f"Result for Problem 049: {compute()}")
|
||||
|
||||
@ -5,14 +5,14 @@ Created on 18 Sep 2021
|
||||
@author: David Doblas Jiménez
|
||||
@email: daviddoji@pm.me
|
||||
|
||||
Solution for problem 50 of Project Euler
|
||||
Solution for problem 050 of Project Euler
|
||||
https://projecteuler.net/problem=50
|
||||
"""
|
||||
|
||||
from utils import is_prime, list_primes, timeit
|
||||
|
||||
|
||||
@timeit("Problem 50")
|
||||
@timeit("Problem 050")
|
||||
def compute():
|
||||
"""
|
||||
The prime 41, can be written as the sum of six consecutive primes:
|
||||
@ -49,4 +49,4 @@ def compute():
|
||||
|
||||
|
||||
if __name__ == "__main__":
|
||||
print(f"Result for Problem 50 is {compute()}")
|
||||
print(f"Result for Problem 050: {compute()}")
|
||||
|
||||
Loading…
x
Reference in New Issue
Block a user