Problem 6

completed November 28, 2011

Code

set cent_set to {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100}

set sum_squ to cent_set
set sum_squ_ref to a reference to sum_squ
set total_smaller to 0
set squ_sum to cent_set
set squ_sum_ref to a reference to squ_sum
set total_larger to 0

repeat with i in sum_squ_ref
	set total_smaller to ((i ^ 2) + total_smaller)
end repeat

repeat with j in squ_sum_ref
	set total_larger to (j + total_larger)
end repeat
set total_larger to (total_larger) ^ 2

return total_larger - total_smaller