Problem:
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?
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?
My Solution:
Note: You can simplifies the coding :)
- static void Main(string[] args)
- {
- static void Main(string[] args)
- {
- int limit = 1001 * 1001;
- int count = 0;
- int loopCount = 2;
- int sum = 1; //1 coz the centervalue is 1. In loop counting from 3.
- // every 4 iteration the increment count is adding +2
- for (int i = 3; i <= limit; i += loopCount)
- {
- sum += i;
- count += 1;
- if (count >= 4)
- {
- loopCount += 2;
- count = 0;
- }
- }
- Console.WriteLine(sum);
- Console.ReadLine();
- }
- }
Note: You can simplifies the coding :)