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欧拉计划(python) problem 28

2024-11-24 21:59:39   203人阅读

Number spiral diagonals

Problem 28

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?


Answer:
669171001
Completed on Sun, 1 Feb 2015, 06:46

Go to the thread for problem 28 in the forum.

python code:

k=1
step=0
result=1
for i in range(3,1003,2):
    step+=2
    for j in range(0,4):
        k+=step
        result+=k
print(result)

time <1s

欧拉计划(python) problem 28


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