Solution to problem 28

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David Doblas Jiménez 2021-08-23 19:37:30 +02:00
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#!/usr/bin/env python3
"""
Created on 3 Jan 2020
@author: David Doblas Jiménez
@email: daviddoji@pm.me
Solution for problem 28 of Project Euler
https://projecteuler.net/problem=28
"""
from utils import timeit
@timeit("Problem 28")
def compute():
"""
Starting with the number 1 and moving to the right in a clockwise
direction a 5 by 5 spiral is formed as follows:
21 22 23 24 25
20 7 8 9 10
19 6 1 2 11
18 5 4 3 12
17 16 15 14 13
It can be verified that the sum of the numbers on the diagonals is 101.
What is the sum of the numbers on the diagonals in a 1001 by 1001 spiral
formed in the same way?
"""
size = 1001 # Must be odd
ans = 1 # Special case for size 1
step = 0
i, cur = 1, 1
while step < size-1:
step = i * 2
for j in range(1, 5):
cur += step
ans += cur
i += 1
return ans
if __name__ == "__main__":
print(f"Result for Problem 28: {compute()}")