diff --git a/project_euler/problem_01/sol7.py b/project_euler/problem_01/sol7.py new file mode 100644 index 000000000..a0510b54c --- /dev/null +++ b/project_euler/problem_01/sol7.py @@ -0,0 +1,32 @@ +""" +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. +Find the sum of all the multiples of 3 or 5 below N. +""" + + +def solution(n): + """Returns the sum of all the multiples of 3 or 5 below n. + + >>> solution(3) + 0 + >>> solution(4) + 3 + >>> solution(10) + 23 + >>> solution(600) + 83700 + """ + + result = 0 + for i in range(n): + if i % 3 == 0: + result += i + elif i % 5 == 0: + result += i + return result + + +if __name__ == "__main__": + print(solution(int(input().strip()))) diff --git a/project_euler/problem_02/sol5.py b/project_euler/problem_02/sol5.py new file mode 100644 index 000000000..8df2068dd --- /dev/null +++ b/project_euler/problem_02/sol5.py @@ -0,0 +1,46 @@ +""" +Problem: +Each new term in the Fibonacci sequence is generated by adding the previous two +terms. By starting with 1 and 2, the first 10 terms will be: + + 1,2,3,5,8,13,21,34,55,89,.. + +By considering the terms in the Fibonacci sequence whose values do not exceed +n, find the sum of the even-valued terms. e.g. for n=10, we have {2,8}, sum is +10. +""" + + +def solution(n): + """Returns the sum of all fibonacci sequence even elements that are lower + or equals to n. + + >>> solution(10) + 10 + >>> solution(15) + 10 + >>> solution(2) + 2 + >>> solution(1) + 0 + >>> solution(34) + 44 + """ + + a = [0,1] + i = 0 + while a[i] <= n: + a.append(a[i] + a[i+1]) + if a[i+2] > n: + break + i += 1 + sum = 0 + for j in range(len(a) - 1): + if a[j] % 2 == 0: + sum += a[j] + + return sum + + +if __name__ == "__main__": + print(solution(int(input().strip())))