mirror of
https://hub.njuu.cf/TheAlgorithms/Python.git
synced 2023-10-11 13:06:12 +08:00
added solution 7 for problem_01 (#1416)
* added solution 7 for problem_01 * added solution 5 for problem_02
This commit is contained in:
parent
ce7faa5a3a
commit
8b572e6cfd
32
project_euler/problem_01/sol7.py
Normal file
32
project_euler/problem_01/sol7.py
Normal file
@ -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())))
|
46
project_euler/problem_02/sol5.py
Normal file
46
project_euler/problem_02/sol5.py
Normal file
@ -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())))
|
Loading…
Reference in New Issue
Block a user