diff --git a/project_euler/problem_01/sol1.py b/project_euler/problem_01/sol1.py index 2dbb60cdb16f..385bbbbf43b3 100644 --- a/project_euler/problem_01/sol1.py +++ b/project_euler/problem_01/sol1.py @@ -1,7 +1,7 @@ """ Problem Statement: If we list all the natural numbers below 10 that are multiples of 3 or 5, -we get 3,5,6 and 9. The sum of these multiples is 23. +we get 3, 5, 6 and 9. The sum of these multiples is 23. Find the sum of all the multiples of 3 or 5 below N. """ diff --git a/project_euler/problem_01/sol2.py b/project_euler/problem_01/sol2.py index 212fd40562d1..f08f548cb752 100644 --- a/project_euler/problem_01/sol2.py +++ b/project_euler/problem_01/sol2.py @@ -1,7 +1,7 @@ """ Problem Statement: If we list all the natural numbers below 10 that are multiples of 3 or 5, -we get 3,5,6 and 9. The sum of these multiples is 23. +we get 3, 5, 6 and 9. The sum of these multiples is 23. Find the sum of all the multiples of 3 or 5 below N. """ @@ -19,14 +19,14 @@ def solution(n: int = 1000) -> int: 83700 """ - sum = 0 + total = 0 terms = (n - 1) // 3 - sum += ((terms) * (6 + (terms - 1) * 3)) // 2 # sum of an A.P. + total += ((terms) * (6 + (terms - 1) * 3)) // 2 # total of an A.P. terms = (n - 1) // 5 - sum += ((terms) * (10 + (terms - 1) * 5)) // 2 + total += ((terms) * (10 + (terms - 1) * 5)) // 2 terms = (n - 1) // 15 - sum -= ((terms) * (30 + (terms - 1) * 15)) // 2 - return sum + total -= ((terms) * (30 + (terms - 1) * 15)) // 2 + return total if __name__ == "__main__": diff --git a/project_euler/problem_01/sol3.py b/project_euler/problem_01/sol3.py index faa505615924..67cb83faf238 100644 --- a/project_euler/problem_01/sol3.py +++ b/project_euler/problem_01/sol3.py @@ -1,7 +1,7 @@ """ Problem Statement: If we list all the natural numbers below 10 that are multiples of 3 or 5, -we get 3,5,6 and 9. The sum of these multiples is 23. +we get 3, 5, 6 and 9. The sum of these multiples is 23. Find the sum of all the multiples of 3 or 5 below N. """ @@ -22,38 +22,38 @@ def solution(n: int = 1000) -> int: 83700 """ - sum = 0 + total = 0 num = 0 while 1: num += 3 if num >= n: break - sum += num + total += num num += 2 if num >= n: break - sum += num + total += num num += 1 if num >= n: break - sum += num + total += num num += 3 if num >= n: break - sum += num + total += num num += 1 if num >= n: break - sum += num + total += num num += 2 if num >= n: break - sum += num + total += num num += 3 if num >= n: break - sum += num - return sum + total += num + return total if __name__ == "__main__": diff --git a/project_euler/problem_01/sol4.py b/project_euler/problem_01/sol4.py index d5e86320da5e..77f323695898 100644 --- a/project_euler/problem_01/sol4.py +++ b/project_euler/problem_01/sol4.py @@ -1,7 +1,7 @@ """ Problem Statement: If we list all the natural numbers below 10 that are multiples of 3 or 5, -we get 3,5,6 and 9. The sum of these multiples is 23. +we get 3, 5, 6 and 9. The sum of these multiples is 23. Find the sum of all the multiples of 3 or 5 below N. """ diff --git a/project_euler/problem_01/sol5.py b/project_euler/problem_01/sol5.py index eae62ef5c75c..256516802ca0 100644 --- a/project_euler/problem_01/sol5.py +++ b/project_euler/problem_01/sol5.py @@ -1,15 +1,14 @@ """ Problem Statement: If we list all the natural numbers below 10 that are multiples of 3 or 5, -we get 3,5,6 and 9. The sum of these multiples is 23. +we get 3, 5, 6 and 9. The sum of these multiples is 23. Find the sum of all the multiples of 3 or 5 below N. """ -"""A straightforward pythonic solution using list comprehension""" - def solution(n: int = 1000) -> int: """Returns the sum of all the multiples of 3 or 5 below n. + A straightforward pythonic solution using list comprehension. >>> solution(3) 0 diff --git a/project_euler/problem_01/sol6.py b/project_euler/problem_01/sol6.py index ca08a4a639ab..5f60512a73fb 100644 --- a/project_euler/problem_01/sol6.py +++ b/project_euler/problem_01/sol6.py @@ -1,7 +1,7 @@ """ Problem Statement: If we list all the natural numbers below 10 that are multiples of 3 or 5, -we get 3,5,6 and 9. The sum of these multiples is 23. +we get 3, 5, 6 and 9. The sum of these multiples is 23. Find the sum of all the multiples of 3 or 5 below N. """ diff --git a/project_euler/problem_01/sol7.py b/project_euler/problem_01/sol7.py index 8e53d2a81fb9..5761c00f2996 100644 --- a/project_euler/problem_01/sol7.py +++ b/project_euler/problem_01/sol7.py @@ -1,7 +1,7 @@ """ Problem Statement: If we list all the natural numbers below 10 that are multiples of 3 or 5, -we get 3,5,6 and 9. The sum of these multiples is 23. +we get 3, 5, 6 and 9. The sum of these multiples is 23. Find the sum of all the multiples of 3 or 5 below N. """