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solution_1.py
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35 lines (29 loc) · 847 Bytes
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#!/usr/bin/env python
# coding=utf-8
# Python Script
#
# Copyleft © Manoel Vilela
#
#
"""
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?
"""
# 1 +3 + 5 + 7 + 9 = 25
# (25) + 25 + 13 + 17 + 21 = 101
# 669171001
# LOOOOOOOOOOOOOOOOOOOOL, try understand this! I don't believe I wrote that...
# the worse part is the solutions are right!
black = lambda x: (num for num in range(x * x - 3 * (x - 1), x * x + 1, x - 1))
magic = sum(sum(black(i))for i in range(3, 1001 + 1, + 2)) + 1
print(magic)