Spiral Diagonal --------------- We can make a 5 by 5 spiral pattern by writing the positive integers, starting in the center and moving to the right in a clockwise pattern as shown below. 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 The sum of the diagonal entries is 21 + 7 + 1 + 3 + 13 = 45. Write a programme to find the sum of the diagonal entries in an (2k+1) by (2k+1) spiral pattern. Input ----- The input will be several integer values for k (0 <= k <= 2^16). The end of the input will be indicated by a value k=-1, which should not be processed. Output ------ For each k, output the sum of the diagonal entries. Sample Input ------------ 2 5 100 -1 Sample Output ------------- 45 451 2707001