arr(1,2,3) = 1
arr(1,2,4) = 2
arr(1,3,3) = 3
arr(1,3,4) = 4
arr(1,4,3) = 5
arr(1,4,4) = 6
arr(2,2,3) = 7
arr(2,2,4) = 8
arr(2,3,3) = 9
arr(2,3,4) = 10
arr(2,4,3) = 11
arr(2,4,4) = 12
arr(3,2,3) = 13
arr(3,2,4) = 14
arr(3,3,3) = 15
arr(3,3,4) = 16
arr(3,4,3) = 17
arr(3,4,4) = 18
arr(4,2,3) = 19
arr(4,2,4) = 20
arr(4,3,3) = 21
arr(4,3,4) = 22
arr(4,4,3) = 23
arr(4,4,4) = 24