There is only one nontrivial example of the sum of consecutive squares from 1 to some integer n
equalling a perfect square, and that occurs when n = 24.

12 + 22 + 32 + ... + 242 = 702.

This is related to the existence of the Leech lattice, Λ24, in R24. The Leech lattice can be represented
as a triplet of octonions.

Question: can the integers from 1 to 24 be be divided into 3 sets of 8
such that the sum of the squares of each octet is a perfect square?
Well, first we need triplets of positive integers whose squares sum to 702. There are five such triplets:

 2 36 60 12 20 66 12 34 60 20 30 60 30 36 52

Of these there is only one that allows the set of integers from 1 to 24 to be split into 3 subsets of 8
such that the sum of the squares of the integers in each subset is a perfect square. In particular, it only
works for the triplet (30, 36, 52), and in this instance there are many such triplets of octet subsets.
One such is:

 1 2 3 4 6 7 16 23 → 30 5 8 9 10 11 14 15 22 → 36 12 13 17 18 19 20 21 24 → 52

At this point I don't know how many others there are, but there are very many.

Curiosity: The order of the inner shell of the Leech lattice is 196560.
Note that: 196560/(30×36×52) = 7/2 = 3.5.
(Since this is all numerology, let me add that (7/2)6 = 1838.265625,
which is close to the ratio of the proton or neutron mass to the electron mass.)
(2004.02.24: More anon.)

It has now been determined that there are 961 = 312 ways of splitting the set of integers from 1 to 24
into 3 octets such that the sum of the squares of the integers in the octets are 302, 362 and 522.
These are listed below. For each octet summing to 522 there is an associated list of octets summing to 302.
The associated octets summing to 362 are easily found from these.
[1, 8, 17, 19, 20, 22, 23, 24] sum2 to 522
------- [2, 3, 4, 5, 6, 12, 15, 21] sum2 to 302
------- [2, 3, 4, 5, 7, 10, 16, 21] sum2 to 302
------- [2, 3, 4, 5, 13, 14, 15, 16] sum2 to 302
------- [2, 3, 4, 6, 9, 12, 13, 21] sum2 to 302
------- [2, 3, 4, 10, 11, 13, 15, 16] sum2 to 302
------- [2, 3, 5, 6, 9, 14, 15, 18] sum2 to 302
------- [2, 3, 6, 9, 10, 11, 15, 18] sum2 to 302
------- [2, 4, 5, 7, 10, 11, 12, 21] sum2 to 302
------- [2, 4, 5, 11, 12, 13, 14, 15] sum2 to 302
------- [2, 4, 7, 9, 10, 13, 15, 16] sum2 to 302
------- [2, 5, 7, 9, 10, 11, 14, 18] sum2 to 302
------- [2, 5, 9, 10, 11, 12, 13, 16] sum2 to 302
------- [2, 6, 7, 10, 11, 13, 14, 15] sum2 to 302
------- [3, 4, 5, 6, 11, 12, 15, 18] sum2 to 302
------- [3, 4, 5, 7, 10, 11, 16, 18] sum2 to 302
------- [3, 4, 6, 9, 11, 12, 13, 18] sum2 to 302
------- [3, 5, 7, 10, 11, 12, 14, 16] sum2 to 302
------- [3, 6, 7, 9, 10, 12, 15, 16] sum2 to 302
------- [4, 5, 6, 7, 9, 12, 15, 18] sum2 to 302
------- [4, 5, 6, 9, 11, 13, 14, 16] sum2 to 302
------- [5, 6, 7, 10, 11, 12, 13, 16] sum2 to 302
1_SUBTOTAL = 21
[1, 12, 17, 18, 20, 21, 23, 24] sum2 to 522
------- [2, 3, 4, 5, 8, 14, 15, 19] sum2 to 302
------- [2, 3, 4, 5, 13, 14, 15, 16] sum2 to 302
------- [2, 3, 4, 6, 7, 13, 16, 19] sum2 to 302
------- [2, 3, 4, 8, 9, 13, 14, 19] sum2 to 302
------- [2, 3, 4, 8, 10, 11, 15, 19] sum2 to 302
------- [2, 3, 4, 10, 11, 13, 15, 16] sum2 to 302
------- [2, 3, 5, 6, 10, 13, 14, 19] sum2 to 302
------- [2, 3, 5, 8, 9, 10, 16, 19] sum2 to 302
------- [2, 3, 5, 8, 11, 14, 15, 16] sum2 to 302
------- [2, 3, 6, 7, 8, 11, 16, 19] sum2 to 302
------- [2, 3, 8, 9, 11, 13, 14, 16] sum2 to 302
------- [2, 4, 5, 6, 8, 13, 15, 19] sum2 to 302
------- [2, 4, 5, 6, 9, 11, 16, 19] sum2 to 302
------- [2, 4, 7, 8, 9, 10, 15, 19] sum2 to 302
------- [2, 4, 7, 9, 10, 13, 15, 16] sum2 to 302
------- [2, 5, 6, 7, 9, 10, 11, 22] sum2 to 302
------- [2, 5, 6, 8, 11, 13, 15, 16] sum2 to 302
------- [2, 5, 7, 8, 9, 14, 15, 16] sum2 to 302
------- [2, 6, 7, 10, 11, 13, 14, 15] sum2 to 302
------- [2, 7, 8, 9, 10, 11, 15, 16] sum2 to 302
------- [3, 4, 5, 8, 9, 10, 11, 22] sum2 to 302
------- [3, 4, 6, 7, 8, 13, 14, 19] sum2 to 302
------- [3, 4, 8, 10, 11, 13, 14, 15] sum2 to 302
------- [3, 5, 6, 7, 8, 10, 16, 19] sum2 to 302
------- [3, 5, 8, 9, 10, 13, 14, 16] sum2 to 302
------- [3, 6, 7, 8, 11, 13, 14, 16] sum2 to 302
------- [4, 5, 6, 8, 9, 11, 14, 19] sum2 to 302
------- [4, 5, 6, 9, 11, 13, 14, 16] sum2 to 302
------- [4, 7, 8, 9, 10, 13, 14, 15] sum2 to 302
2_SUBTOTAL = 50
[1, 13, 16, 17, 20, 22, 23, 24] sum2 to 522
------- [2, 3, 4, 5, 6, 12, 15, 21] sum2 to 302
------- [2, 3, 4, 5, 8, 14, 15, 19] sum2 to 302
------- [2, 3, 4, 7, 8, 11, 14, 21] sum2 to 302
------- [2, 3, 4, 7, 11, 12, 14, 19] sum2 to 302
------- [2, 3, 4, 8, 10, 11, 15, 19] sum2 to 302
------- [2, 3, 5, 6, 9, 14, 15, 18] sum2 to 302
------- [2, 3, 6, 8, 9, 11, 12, 21] sum2 to 302
------- [2, 3, 6, 9, 10, 11, 15, 18] sum2 to 302
------- [2, 3, 7, 8, 9, 12, 15, 18] sum2 to 302
------- [2, 4, 5, 7, 10, 11, 12, 21] sum2 to 302
------- [2, 4, 7, 8, 9, 10, 15, 19] sum2 to 302
------- [2, 5, 7, 9, 10, 11, 14, 18] sum2 to 302
------- [2, 5, 8, 9, 10, 11, 12, 19] sum2 to 302
------- [3, 4, 5, 6, 11, 12, 15, 18] sum2 to 302
------- [3, 4, 5, 7, 8, 10, 14, 21] sum2 to 302
------- [3, 4, 5, 7, 10, 12, 14, 19] sum2 to 302
------- [3, 5, 6, 8, 9, 10, 12, 21] sum2 to 302
------- [4, 5, 6, 7, 9, 12, 15, 18] sum2 to 302
------- [4, 5, 6, 8, 9, 11, 14, 19] sum2 to 302
------- [5, 6, 7, 8, 10, 11, 12, 19] sum2 to 302
3_SUBTOTAL = 70
[2, 11, 15, 18, 21, 22, 23, 24] sum2 to 522
------- [1, 3, 4, 5, 6, 14, 16, 19] sum2 to 302
------- [1, 3, 4, 5, 7, 12, 16, 20] sum2 to 302
------- [1, 3, 4, 6, 7, 10, 17, 20] sum2 to 302
------- [1, 3, 4, 7, 8, 12, 16, 19] sum2 to 302
------- [1, 3, 5, 6, 8, 13, 14, 20] sum2 to 302
------- [1, 3, 5, 8, 10, 12, 14, 19] sum2 to 302
------- [1, 3, 5, 10, 12, 13, 14, 16] sum2 to 302
------- [1, 3, 6, 7, 8, 14, 16, 17] sum2 to 302
------- [1, 3, 7, 8, 9, 10, 14, 20] sum2 to 302
------- [1, 4, 5, 6, 9, 14, 16, 17] sum2 to 302
------- [1, 4, 5, 8, 9, 12, 13, 20] sum2 to 302
------- [1, 4, 6, 7, 9, 10, 16, 19] sum2 to 302
------- [1, 4, 6, 7, 12, 13, 14, 17] sum2 to 302
------- [1, 4, 7, 8, 9, 12, 16, 17] sum2 to 302
------- [1, 5, 6, 7, 10, 12, 16, 17] sum2 to 302
------- [1, 5, 6, 8, 10, 12, 13, 19] sum2 to 302
------- [1, 5, 8, 9, 10, 12, 14, 17] sum2 to 302
------- [1, 6, 7, 8, 9, 10, 13, 20] sum2 to 302
------- [3, 4, 5, 6, 7, 13, 14, 20] sum2 to 302
------- [3, 4, 5, 6, 8, 10, 17, 19] sum2 to 302
------- [3, 4, 5, 6, 10, 13, 16, 17] sum2 to 302
------- [3, 4, 5, 7, 8, 9, 16, 20] sum2 to 302
------- [3, 4, 5, 7, 10, 12, 14, 19] sum2 to 302
------- [3, 4, 6, 7, 8, 13, 14, 19] sum2 to 302
------- [3, 5, 6, 7, 8, 10, 16, 19] sum2 to 302
------- [3, 5, 8, 9, 10, 13, 14, 16] sum2 to 302
------- [4, 5, 6, 7, 10, 12, 13, 19] sum2 to 302
------- [4, 5, 7, 9, 10, 12, 14, 17] sum2 to 302
------- [4, 6, 7, 8, 9, 13, 14, 17] sum2 to 302
------- [5, 6, 7, 8, 9, 10, 16, 17] sum2 to 302
4_SUBTOTAL = 100
[2, 14, 17, 19, 20, 21, 22, 23] sum2 to 522
------- [1, 3, 4, 5, 10, 13, 16, 18] sum2 to 302
------- [1, 3, 4, 9, 10, 12, 15, 18] sum2 to 302
------- [1, 3, 5, 8, 10, 11, 16, 18] sum2 to 302
------- [1, 3, 6, 7, 9, 12, 16, 18] sum2 to 302
------- [1, 4, 5, 8, 12, 13, 15, 16] sum2 to 302
------- [1, 4, 5, 10, 11, 12, 13, 18] sum2 to 302
------- [1, 4, 7, 8, 10, 11, 15, 18] sum2 to 302
------- [1, 5, 6, 8, 9, 12, 15, 18] sum2 to 302
------- [1, 5, 7, 8, 9, 10, 16, 18] sum2 to 302
------- [1, 6, 7, 8, 10, 13, 15, 16] sum2 to 302
------- [3, 4, 5, 6, 11, 12, 15, 18] sum2 to 302
------- [3, 4, 5, 7, 10, 11, 16, 18] sum2 to 302
------- [3, 4, 6, 9, 11, 12, 13, 18] sum2 to 302
------- [3, 6, 7, 9, 10, 12, 15, 16] sum2 to 302
------- [4, 5, 6, 7, 9, 12, 15, 18] sum2 to 302
------- [4, 5, 7, 8, 11, 12, 15, 16] sum2 to 302
------- [4, 5, 8, 9, 10, 11, 13, 18] sum2 to 302
------- [4, 7, 8, 9, 11, 12, 13, 16] sum2 to 302
------- [5, 6, 7, 10, 11, 12, 13, 16] sum2 to 302
5_SUBTOTAL = 119
[2, 15, 17, 18, 19, 21, 22, 24] sum2 to 522
------- [1, 3, 4, 5, 7, 12, 16, 20] sum2 to 302
------- [1, 3, 4, 6, 7, 8, 14, 23] sum2 to 302
------- [1, 3, 5, 6, 8, 13, 14, 20] sum2 to 302
------- [1, 3, 5, 10, 12, 13, 14, 16] sum2 to 302
------- [1, 3, 6, 8, 10, 11, 13, 20] sum2 to 302
------- [1, 3, 7, 8, 9, 10, 14, 20] sum2 to 302
------- [1, 4, 5, 6, 7, 10, 12, 23] sum2 to 302
------- [1, 4, 5, 8, 9, 12, 13, 20] sum2 to 302
------- [1, 4, 6, 7, 9, 11, 14, 20] sum2 to 302
------- [1, 6, 7, 8, 9, 10, 13, 20] sum2 to 302
------- [3, 4, 5, 6, 7, 13, 14, 20] sum2 to 302
------- [3, 4, 5, 6, 8, 10, 11, 23] sum2 to 302
------- [3, 4, 5, 7, 8, 9, 16, 20] sum2 to 302
------- [3, 4, 6, 7, 10, 11, 13, 20] sum2 to 302
------- [3, 5, 6, 7, 8, 11, 14, 20] sum2 to 302
------- [3, 5, 7, 10, 11, 12, 14, 16] sum2 to 302
------- [3, 5, 8, 9, 10, 13, 14, 16] sum2 to 302
------- [3, 6, 7, 8, 11, 13, 14, 16] sum2 to 302
------- [4, 5, 6, 7, 8, 9, 10, 23] sum2 to 302
------- [4, 5, 6, 9, 11, 13, 14, 16] sum2 to 302
------- [4, 5, 7, 8, 9, 11, 12, 20] sum2 to 302
------- [4, 7, 8, 9, 11, 12, 13, 16] sum2 to 302
------- [5, 6, 7, 10, 11, 12, 13, 16] sum2 to 302
------- [5, 8, 9, 10, 11, 12, 13, 14] sum2 to 302
6_SUBTOTAL = 143
[3, 8, 18, 19, 20, 21, 23, 24] sum2 to 522
------- [1, 2, 4, 5, 12, 14, 15, 17] sum2 to 302
------- [1, 2, 4, 7, 9, 11, 12, 22] sum2 to 302
------- [1, 2, 4, 9, 11, 14, 15, 16] sum2 to 302
------- [1, 2, 4, 9, 12, 13, 14, 17] sum2 to 302
------- [1, 2, 4, 10, 11, 12, 15, 17] sum2 to 302
------- [1, 2, 5, 6, 9, 10, 13, 22] sum2 to 302
------- [1, 2, 5, 7, 12, 14, 15, 16] sum2 to 302
------- [1, 2, 5, 9, 10, 12, 16, 17] sum2 to 302
------- [1, 2, 6, 7, 10, 14, 15, 17] sum2 to 302
------- [1, 2, 6, 7, 11, 12, 16, 17] sum2 to 302
------- [1, 2, 7, 9, 12, 13, 14, 16] sum2 to 302
------- [1, 2, 7, 10, 11, 12, 15, 16] sum2 to 302
------- [1, 4, 5, 6, 9, 14, 16, 17] sum2 to 302
------- [1, 4, 5, 7, 9, 10, 12, 22] sum2 to 302
------- [1, 4, 5, 9, 10, 14, 15, 16] sum2 to 302
------- [1, 4, 6, 7, 11, 14, 15, 16] sum2 to 302
------- [1, 4, 6, 7, 12, 13, 14, 17] sum2 to 302
------- [1, 4, 6, 9, 10, 11, 16, 17] sum2 to 302
------- [1, 4, 7, 10, 12, 13, 14, 15] sum2 to 302
------- [1, 5, 6, 7, 10, 12, 16, 17] sum2 to 302
------- [2, 4, 5, 6, 7, 15, 16, 17] sum2 to 302
------- [2, 4, 5, 11, 12, 13, 14, 15] sum2 to 302
------- [2, 4, 6, 7, 9, 13, 16, 17] sum2 to 302
------- [2, 4, 7, 9, 10, 13, 15, 16] sum2 to 302
------- [2, 4, 7, 9, 11, 12, 14, 17] sum2 to 302
------- [2, 5, 6, 7, 9, 10, 11, 22] sum2 to 302
------- [2, 5, 6, 9, 10, 13, 14, 17] sum2 to 302
------- [2, 5, 9, 10, 11, 12, 13, 16] sum2 to 302
------- [2, 6, 7, 10, 11, 13, 14, 15] sum2 to 302
------- [4, 5, 6, 9, 11, 13, 14, 16] sum2 to 302
------- [4, 5, 6, 10, 11, 12, 13, 17] sum2 to 302
------- [4, 5, 7, 9, 10, 12, 14, 17] sum2 to 302
------- [5, 6, 7, 10, 11, 12, 13, 16] sum2 to 302
7_SUBTOTAL = 176
[3, 11, 12, 20, 21, 22, 23, 24] sum2 to 522
------- [1, 2, 4, 5, 7, 15, 16, 18] sum2 to 302
------- [1, 2, 4, 7, 8, 9, 18, 19] sum2 to 302
------- [1, 2, 4, 7, 9, 13, 16, 18] sum2 to 302
------- [1, 2, 5, 6, 7, 10, 18, 19] sum2 to 302
------- [1, 2, 5, 6, 8, 15, 16, 17] sum2 to 302
------- [1, 2, 5, 9, 10, 13, 14, 18] sum2 to 302
------- [1, 2, 6, 7, 10, 14, 15, 17] sum2 to 302
------- [1, 2, 6, 8, 9, 13, 16, 17] sum2 to 302
------- [1, 2, 8, 9, 10, 13, 15, 16] sum2 to 302
------- [1, 4, 5, 6, 9, 14, 16, 17] sum2 to 302
------- [1, 4, 5, 7, 8, 14, 15, 18] sum2 to 302
------- [1, 4, 5, 8, 9, 10, 17, 18] sum2 to 302
------- [1, 4, 5, 9, 10, 14, 15, 16] sum2 to 302
------- [1, 4, 6, 7, 9, 10, 16, 19] sum2 to 302
------- [1, 4, 6, 8, 10, 13, 15, 17] sum2 to 302
------- [1, 4, 7, 8, 9, 13, 14, 18] sum2 to 302
------- [1, 5, 6, 7, 10, 13, 14, 18] sum2 to 302
------- [1, 5, 7, 8, 9, 10, 16, 18] sum2 to 302
------- [1, 6, 7, 8, 10, 13, 15, 16] sum2 to 302
------- [2, 4, 5, 6, 7, 15, 16, 17] sum2 to 302
------- [2, 4, 5, 6, 8, 13, 15, 19] sum2 to 302
------- [2, 4, 5, 8, 9, 14, 15, 17] sum2 to 302
------- [2, 4, 6, 7, 8, 9, 17, 19] sum2 to 302
------- [2, 4, 6, 7, 9, 13, 16, 17] sum2 to 302
------- [2, 4, 7, 8, 9, 10, 15, 19] sum2 to 302
------- [2, 4, 7, 9, 10, 13, 15, 16] sum2 to 302
------- [2, 5, 6, 9, 10, 13, 14, 17] sum2 to 302
------- [2, 5, 7, 8, 9, 14, 15, 16] sum2 to 302
------- [4, 5, 6, 7, 8, 14, 15, 17] sum2 to 302
------- [4, 6, 7, 8, 9, 13, 14, 17] sum2 to 302
------- [4, 7, 8, 9, 10, 13, 14, 15] sum2 to 302
------- [5, 6, 7, 8, 9, 10, 16, 17] sum2 to 302
8_SUBTOTAL = 208
[3, 12, 17, 19, 20, 21, 22, 24] sum2 to 522
------- [1, 2, 4, 5, 6, 8, 15, 23] sum2 to 302
------- [1, 2, 4, 5, 7, 15, 16, 18] sum2 to 302
------- [1, 2, 4, 6, 8, 9, 13, 23] sum2 to 302
------- [1, 2, 4, 7, 9, 13, 16, 18] sum2 to 302
------- [1, 2, 4, 9, 11, 14, 15, 16] sum2 to 302
------- [1, 2, 5, 9, 10, 13, 14, 18] sum2 to 302
------- [1, 2, 6, 7, 11, 13, 14, 18] sum2 to 302
------- [1, 2, 7, 8, 9, 11, 16, 18] sum2 to 302
------- [1, 2, 8, 9, 10, 13, 15, 16] sum2 to 302
------- [1, 4, 5, 7, 8, 14, 15, 18] sum2 to 302
------- [1, 4, 5, 9, 10, 14, 15, 16] sum2 to 302
------- [1, 4, 6, 7, 11, 14, 15, 16] sum2 to 302
------- [1, 4, 7, 8, 9, 13, 14, 18] sum2 to 302
------- [1, 4, 7, 8, 10, 11, 15, 18] sum2 to 302
------- [1, 5, 6, 7, 10, 13, 14, 18] sum2 to 302
------- [1, 5, 7, 8, 9, 10, 16, 18] sum2 to 302
------- [1, 6, 7, 8, 10, 13, 15, 16] sum2 to 302
------- [2, 4, 6, 7, 8, 9, 11, 23] sum2 to 302
------- [2, 4, 7, 9, 10, 13, 15, 16] sum2 to 302
------- [2, 5, 6, 8, 11, 13, 15, 16] sum2 to 302
------- [2, 5, 7, 8, 9, 14, 15, 16] sum2 to 302
------- [2, 5, 7, 9, 10, 11, 14, 18] sum2 to 302
------- [2, 6, 7, 10, 11, 13, 14, 15] sum2 to 302
------- [2, 7, 8, 9, 10, 11, 15, 16] sum2 to 302
------- [4, 5, 6, 7, 8, 9, 10, 23] sum2 to 302
------- [4, 5, 6, 9, 11, 13, 14, 16] sum2 to 302
------- [4, 5, 8, 9, 10, 11, 13, 18] sum2 to 302
------- [4, 7, 8, 9, 10, 13, 14, 15] sum2 to 302
9_SUBTOTAL = 236
[3, 13, 16, 18, 20, 21, 23, 24] sum2 to 522
------- [1, 2, 4, 5, 8, 9, 15, 22] sum2 to 302
------- [1, 2, 4, 5, 12, 14, 15, 17] sum2 to 302
------- [1, 2, 4, 6, 7, 12, 17, 19] sum2 to 302
------- [1, 2, 4, 7, 9, 11, 12, 22] sum2 to 302
------- [1, 2, 4, 7, 10, 12, 15, 19] sum2 to 302
------- [1, 2, 4, 10, 11, 12, 15, 17] sum2 to 302
------- [1, 2, 6, 7, 10, 14, 15, 17] sum2 to 302
------- [1, 2, 6, 9, 10, 11, 14, 19] sum2 to 302
------- [1, 2, 7, 8, 9, 12, 14, 19] sum2 to 302
------- [1, 2, 8, 9, 11, 12, 14, 17] sum2 to 302
------- [1, 4, 5, 6, 7, 8, 15, 22] sum2 to 302
------- [1, 4, 5, 6, 11, 12, 14, 19] sum2 to 302
------- [1, 4, 5, 7, 9, 10, 12, 22] sum2 to 302
------- [1, 5, 8, 9, 10, 12, 14, 17] sum2 to 302
------- [1, 6, 7, 8, 11, 12, 14, 17] sum2 to 302
------- [1, 7, 8, 10, 11, 12, 14, 15] sum2 to 302
------- [2, 4, 5, 8, 9, 14, 15, 17] sum2 to 302
------- [2, 4, 6, 7, 8, 9, 17, 19] sum2 to 302
------- [2, 4, 7, 8, 9, 10, 15, 19] sum2 to 302
------- [2, 4, 7, 9, 11, 12, 14, 17] sum2 to 302
------- [2, 4, 8, 9, 10, 11, 15, 17] sum2 to 302
------- [2, 5, 6, 7, 9, 10, 11, 22] sum2 to 302
------- [2, 5, 7, 8, 10, 12, 15, 17] sum2 to 302
------- [2, 5, 8, 9, 10, 11, 12, 19] sum2 to 302
------- [4, 5, 6, 7, 8, 14, 15, 17] sum2 to 302
------- [4, 5, 6, 8, 9, 11, 14, 19] sum2 to 302
------- [4, 5, 7, 9, 10, 12, 14, 17] sum2 to 302
------- [4, 6, 7, 8, 10, 11, 15, 17] sum2 to 302
------- [5, 6, 7, 8, 10, 11, 12, 19] sum2 to 302
10_SUBTOTAL = 265
[3, 14, 15, 18, 19, 22, 23, 24] sum2 to 522
------- [1, 2, 4, 5, 6, 11, 16, 21] sum2 to 302
------- [1, 2, 4, 5, 10, 12, 13, 21] sum2 to 302
------- [1, 2, 4, 6, 7, 8, 17, 21] sum2 to 302
------- [1, 2, 5, 6, 8, 9, 17, 20] sum2 to 302
------- [1, 2, 5, 6, 11, 12, 13, 20] sum2 to 302
------- [1, 2, 5, 8, 10, 11, 12, 21] sum2 to 302
------- [1, 2, 5, 9, 10, 12, 16, 17] sum2 to 302
------- [1, 2, 6, 7, 11, 12, 16, 17] sum2 to 302
------- [1, 2, 6, 8, 9, 13, 16, 17] sum2 to 302
------- [1, 2, 7, 9, 10, 11, 12, 20] sum2 to 302
------- [1, 4, 5, 8, 9, 12, 13, 20] sum2 to 302
------- [1, 4, 6, 9, 10, 11, 16, 17] sum2 to 302
------- [1, 4, 7, 8, 9, 12, 16, 17] sum2 to 302
------- [1, 5, 6, 7, 10, 12, 16, 17] sum2 to 302
------- [1, 6, 7, 8, 9, 10, 13, 20] sum2 to 302
------- [2, 4, 5, 6, 7, 9, 17, 20] sum2 to 302
------- [2, 4, 5, 7, 10, 11, 12, 21] sum2 to 302
------- [2, 4, 5, 8, 9, 10, 13, 21] sum2 to 302
------- [2, 4, 6, 7, 8, 11, 13, 21] sum2 to 302
------- [2, 4, 6, 7, 9, 13, 16, 17] sum2 to 302
------- [2, 5, 6, 8, 9, 11, 13, 20] sum2 to 302
------- [2, 5, 9, 10, 11, 12, 13, 16] sum2 to 302
------- [2, 6, 7, 8, 9, 11, 16, 17] sum2 to 302
------- [2, 7, 8, 9, 10, 12, 13, 17] sum2 to 302
------- [4, 5, 6, 7, 8, 10, 13, 21] sum2 to 302
------- [4, 5, 6, 10, 11, 12, 13, 17] sum2 to 302
------- [4, 5, 7, 8, 9, 11, 12, 20] sum2 to 302
------- [4, 7, 8, 9, 11, 12, 13, 16] sum2 to 302
------- [5, 6, 7, 8, 9, 10, 16, 17] sum2 to 302
------- [5, 6, 7, 10, 11, 12, 13, 16] sum2 to 302
11_SUBTOTAL = 295
[4, 7, 17, 19, 20, 22, 23, 24] sum2 to 522
------- [1, 2, 3, 5, 8, 10, 16, 21] sum2 to 302
------- [1, 2, 3, 11, 12, 13, 14, 16] sum2 to 302
------- [1, 2, 5, 8, 10, 11, 12, 21] sum2 to 302
------- [1, 2, 5, 9, 10, 13, 14, 18] sum2 to 302
------- [1, 2, 8, 9, 10, 13, 15, 16] sum2 to 302
------- [1, 3, 5, 8, 10, 11, 16, 18] sum2 to 302
------- [1, 3, 5, 10, 12, 13, 14, 16] sum2 to 302
------- [1, 5, 6, 8, 9, 12, 15, 18] sum2 to 302
------- [2, 3, 5, 6, 9, 14, 15, 18] sum2 to 302
------- [2, 3, 5, 8, 11, 14, 15, 16] sum2 to 302
------- [2, 3, 6, 8, 9, 11, 12, 21] sum2 to 302
------- [2, 3, 6, 9, 10, 11, 15, 18] sum2 to 302
------- [2, 3, 8, 9, 11, 13, 14, 16] sum2 to 302
------- [2, 5, 6, 8, 11, 13, 15, 16] sum2 to 302
------- [2, 5, 9, 10, 11, 12, 13, 16] sum2 to 302
------- [3, 5, 6, 8, 9, 10, 12, 21] sum2 to 302
------- [3, 5, 8, 9, 10, 13, 14, 16] sum2 to 302
------- [5, 8, 9, 10, 11, 12, 13, 14] sum2 to 302
12_SUBTOTAL = 313
[4, 12, 15, 17, 21, 22, 23, 24] sum2 to 522
------- [1, 2, 3, 5, 6, 8, 19, 20] sum2 to 302
------- [1, 2, 3, 5, 6, 13, 16, 20] sum2 to 302
------- [1, 2, 3, 6, 8, 13, 16, 19] sum2 to 302
------- [1, 2, 3, 7, 9, 10, 16, 20] sum2 to 302
------- [1, 2, 5, 6, 7, 10, 18, 19] sum2 to 302
------- [1, 2, 5, 9, 10, 13, 14, 18] sum2 to 302
------- [1, 2, 6, 7, 11, 13, 14, 18] sum2 to 302
------- [1, 2, 6, 9, 10, 11, 14, 19] sum2 to 302
------- [1, 2, 7, 8, 9, 11, 16, 18] sum2 to 302
------- [1, 3, 5, 6, 8, 13, 14, 20] sum2 to 302
------- [1, 3, 5, 8, 10, 11, 16, 18] sum2 to 302
------- [1, 3, 6, 8, 10, 11, 13, 20] sum2 to 302
------- [1, 3, 7, 8, 9, 10, 14, 20] sum2 to 302
------- [1, 5, 6, 7, 10, 13, 14, 18] sum2 to 302
------- [1, 5, 7, 8, 9, 10, 16, 18] sum2 to 302
------- [1, 6, 7, 8, 9, 10, 13, 20] sum2 to 302
------- [2, 3, 5, 6, 7, 11, 16, 20] sum2 to 302
------- [2, 3, 5, 6, 10, 13, 14, 19] sum2 to 302
------- [2, 3, 5, 7, 8, 13, 16, 18] sum2 to 302
------- [2, 3, 5, 8, 9, 10, 16, 19] sum2 to 302
------- [2, 3, 5, 8, 9, 11, 14, 20] sum2 to 302
------- [2, 3, 6, 7, 8, 11, 16, 19] sum2 to 302
------- [2, 3, 8, 9, 11, 13, 14, 16] sum2 to 302
------- [2, 5, 6, 8, 9, 11, 13, 20] sum2 to 302
------- [2, 5, 7, 9, 10, 11, 14, 18] sum2 to 302
------- [3, 5, 6, 7, 8, 10, 16, 19] sum2 to 302
------- [3, 5, 6, 7, 8, 11, 14, 20] sum2 to 302
------- [3, 5, 8, 9, 10, 13, 14, 16] sum2 to 302
------- [3, 6, 7, 8, 11, 13, 14, 16] sum2 to 302
13_SUBTOTAL = 342
[5, 6, 17, 18, 21, 22, 23, 24] sum2 to 522
------- [1, 2, 3, 4, 7, 14, 15, 20] sum2 to 302
------- [1, 2, 3, 4, 12, 13, 14, 19] sum2 to 302
------- [1, 2, 3, 7, 9, 10, 16, 20] sum2 to 302
------- [1, 2, 3, 8, 11, 12, 14, 19] sum2 to 302
------- [1, 2, 3, 11, 12, 13, 14, 16] sum2 to 302
------- [1, 2, 4, 7, 10, 12, 15, 19] sum2 to 302
------- [1, 2, 4, 9, 11, 14, 15, 16] sum2 to 302
------- [1, 2, 7, 8, 9, 12, 14, 19] sum2 to 302
------- [1, 2, 7, 9, 10, 11, 12, 20] sum2 to 302
------- [1, 2, 7, 9, 12, 13, 14, 16] sum2 to 302
------- [1, 2, 7, 10, 11, 12, 15, 16] sum2 to 302
------- [1, 2, 8, 9, 10, 13, 15, 16] sum2 to 302
------- [1, 3, 4, 7, 8, 12, 16, 19] sum2 to 302
------- [1, 3, 7, 8, 9, 10, 14, 20] sum2 to 302
------- [1, 3, 7, 8, 10, 14, 15, 16] sum2 to 302
------- [1, 4, 7, 10, 12, 13, 14, 15] sum2 to 302
------- [1, 7, 8, 10, 11, 12, 14, 15] sum2 to 302
------- [2, 3, 4, 7, 11, 12, 14, 19] sum2 to 302
------- [2, 3, 4, 8, 9, 13, 14, 19] sum2 to 302
------- [2, 3, 4, 8, 10, 11, 15, 19] sum2 to 302
------- [2, 3, 4, 9, 10, 11, 13, 20] sum2 to 302
------- [2, 3, 4, 10, 11, 13, 15, 16] sum2 to 302
------- [2, 3, 7, 8, 10, 12, 13, 19] sum2 to 302
------- [2, 3, 8, 9, 11, 13, 14, 16] sum2 to 302
------- [2, 4, 7, 8, 9, 10, 15, 19] sum2 to 302
------- [2, 4, 7, 9, 10, 13, 15, 16] sum2 to 302
------- [2, 7, 8, 9, 10, 11, 15, 16] sum2 to 302
------- [3, 4, 8, 10, 11, 13, 14, 15] sum2 to 302
------- [4, 7, 8, 9, 10, 13, 14, 15] sum2 to 302
------- [4, 7, 8, 9, 11, 12, 13, 16] sum2 to 302
14_SUBTOTAL = 372
[5, 10, 15, 18, 21, 22, 23, 24] sum2 to 522
------- [1, 2, 3, 4, 12, 13, 14, 19] sum2 to 302
------- [1, 2, 3, 6, 8, 13, 16, 19] sum2 to 302
------- [1, 2, 3, 8, 9, 14, 16, 17] sum2 to 302
------- [1, 2, 3, 8, 11, 12, 14, 19] sum2 to 302
------- [1, 2, 3, 11, 12, 13, 14, 16] sum2 to 302
------- [1, 2, 4, 6, 7, 12, 17, 19] sum2 to 302
------- [1, 2, 4, 9, 12, 13, 14, 17] sum2 to 302
------- [1, 2, 6, 7, 11, 12, 16, 17] sum2 to 302
------- [1, 2, 6, 8, 9, 13, 16, 17] sum2 to 302
------- [1, 2, 6, 8, 11, 12, 13, 19] sum2 to 302
------- [1, 2, 7, 8, 9, 12, 14, 19] sum2 to 302
------- [1, 2, 7, 9, 12, 13, 14, 16] sum2 to 302
------- [1, 2, 8, 9, 11, 12, 14, 17] sum2 to 302
------- [1, 3, 4, 7, 8, 12, 16, 19] sum2 to 302
------- [1, 3, 4, 8, 11, 12, 16, 17] sum2 to 302
------- [1, 3, 6, 7, 8, 14, 16, 17] sum2 to 302
------- [1, 4, 6, 7, 9, 11, 14, 20] sum2 to 302
------- [1, 4, 6, 7, 12, 13, 14, 17] sum2 to 302
------- [1, 4, 7, 8, 9, 12, 16, 17] sum2 to 302
------- [1, 6, 7, 8, 11, 12, 14, 17] sum2 to 302
------- [2, 3, 4, 6, 7, 13, 16, 19] sum2 to 302
------- [2, 3, 4, 6, 8, 11, 17, 19] sum2 to 302
------- [2, 3, 4, 6, 11, 13, 16, 17] sum2 to 302
------- [2, 3, 4, 7, 9, 14, 16, 17] sum2 to 302
------- [2, 3, 4, 7, 11, 12, 14, 19] sum2 to 302
------- [2, 3, 4, 8, 9, 13, 14, 19] sum2 to 302
------- [2, 3, 6, 7, 8, 11, 16, 19] sum2 to 302
------- [2, 3, 8, 9, 11, 13, 14, 16] sum2 to 302
------- [2, 4, 6, 7, 8, 9, 17, 19] sum2 to 302
------- [2, 4, 6, 7, 9, 13, 16, 17] sum2 to 302
------- [2, 4, 6, 7, 11, 12, 13, 19] sum2 to 302
------- [2, 4, 7, 9, 11, 12, 14, 17] sum2 to 302
------- [2, 6, 7, 8, 9, 11, 16, 17] sum2 to 302
------- [3, 4, 6, 7, 8, 13, 14, 19] sum2 to 302
------- [3, 4, 6, 8, 11, 13, 14, 17] sum2 to 302
------- [3, 6, 7, 8, 11, 13, 14, 16] sum2 to 302
------- [4, 6, 7, 8, 9, 13, 14, 17] sum2 to 302
------- [4, 7, 8, 9, 11, 12, 13, 16] sum2 to 302
15_SUBTOTAL = 410
[6, 9, 14, 19, 21, 22, 23, 24] sum2 to 522
------- [1, 2, 3, 4, 5, 11, 18, 20] sum2 to 302
------- [1, 2, 3, 4, 10, 15, 16, 17] sum2 to 302
------- [1, 2, 3, 4, 11, 13, 16, 18] sum2 to 302
------- [1, 2, 4, 5, 7, 15, 16, 18] sum2 to 302
------- [1, 2, 4, 10, 11, 12, 15, 17] sum2 to 302
------- [1, 2, 5, 7, 8, 12, 17, 18] sum2 to 302
------- [1, 2, 7, 10, 11, 12, 15, 16] sum2 to 302
------- [1, 3, 4, 5, 7, 12, 16, 20] sum2 to 302
------- [1, 3, 4, 5, 10, 13, 16, 18] sum2 to 302
------- [1, 3, 4, 8, 11, 12, 16, 17] sum2 to 302
------- [1, 3, 5, 8, 10, 11, 16, 18] sum2 to 302
------- [1, 4, 5, 8, 12, 13, 15, 16] sum2 to 302
------- [1, 4, 5, 10, 11, 12, 13, 18] sum2 to 302
------- [1, 4, 7, 8, 10, 11, 15, 18] sum2 to 302
------- [2, 3, 4, 5, 8, 13, 17, 18] sum2 to 302
------- [2, 3, 4, 5, 10, 11, 15, 20] sum2 to 302
------- [2, 3, 4, 10, 11, 13, 15, 16] sum2 to 302
------- [2, 3, 5, 7, 8, 13, 16, 18] sum2 to 302
------- [2, 3, 5, 7, 10, 12, 13, 20] sum2 to 302
------- [2, 3, 8, 10, 11, 12, 13, 17] sum2 to 302
------- [2, 5, 7, 8, 10, 12, 15, 17] sum2 to 302
------- [2, 5, 7, 8, 11, 12, 13, 18] sum2 to 302
------- [3, 4, 5, 7, 10, 11, 16, 18] sum2 to 302
------- [4, 5, 7, 8, 11, 12, 15, 16] sum2 to 302
16_SUBTOTAL = 434
[6, 13, 15, 18, 19, 22, 23, 24] sum2 to 522
------- [1, 2, 3, 4, 9, 10, 17, 20] sum2 to 302
------- [1, 2, 3, 5, 8, 10, 16, 21] sum2 to 302
------- [1, 2, 3, 5, 11, 12, 14, 20] sum2 to 302
------- [1, 2, 3, 7, 9, 10, 16, 20] sum2 to 302
------- [1, 2, 3, 8, 9, 14, 16, 17] sum2 to 302
------- [1, 2, 5, 7, 9, 12, 14, 20] sum2 to 302
------- [1, 2, 5, 8, 10, 11, 12, 21] sum2 to 302
------- [1, 2, 5, 9, 10, 12, 16, 17] sum2 to 302
------- [1, 2, 7, 9, 10, 11, 12, 20] sum2 to 302
------- [1, 2, 8, 9, 11, 12, 14, 17] sum2 to 302
------- [1, 3, 4, 5, 7, 12, 16, 20] sum2 to 302
------- [1, 3, 4, 8, 11, 12, 16, 17] sum2 to 302
------- [1, 3, 7, 8, 9, 10, 14, 20] sum2 to 302
------- [1, 4, 7, 8, 9, 12, 16, 17] sum2 to 302
------- [1, 5, 8, 9, 10, 12, 14, 17] sum2 to 302
------- [2, 3, 4, 5, 7, 10, 16, 21] sum2 to 302
------- [2, 3, 4, 7, 8, 11, 14, 21] sum2 to 302
------- [2, 3, 4, 7, 9, 14, 16, 17] sum2 to 302
------- [2, 3, 5, 8, 9, 11, 14, 20] sum2 to 302
------- [2, 4, 5, 7, 10, 11, 12, 21] sum2 to 302
------- [2, 4, 7, 9, 11, 12, 14, 17] sum2 to 302
------- [3, 4, 5, 7, 8, 9, 16, 20] sum2 to 302
------- [3, 4, 5, 7, 8, 10, 14, 21] sum2 to 302
------- [3, 4, 5, 10, 11, 12, 14, 17] sum2 to 302
------- [3, 5, 7, 10, 11, 12, 14, 16] sum2 to 302
------- [4, 5, 7, 8, 9, 11, 12, 20] sum2 to 302
------- [4, 5, 7, 9, 10, 12, 14, 17] sum2 to 302
17_SUBTOTAL = 461
[7, 9, 12, 20, 21, 22, 23, 24] sum2 to 522
------- [1, 2, 3, 4, 8, 11, 18, 19] sum2 to 302
------- [1, 2, 3, 4, 10, 15, 16, 17] sum2 to 302
------- [1, 2, 3, 4, 11, 13, 16, 18] sum2 to 302
------- [1, 2, 3, 6, 8, 13, 16, 19] sum2 to 302
------- [1, 2, 5, 6, 8, 15, 16, 17] sum2 to 302
------- [1, 2, 5, 6, 10, 11, 17, 18] sum2 to 302
------- [1, 3, 4, 5, 6, 14, 16, 19] sum2 to 302
------- [1, 3, 4, 5, 8, 10, 18, 19] sum2 to 302
------- [1, 3, 4, 5, 10, 13, 16, 18] sum2 to 302
------- [1, 3, 4, 6, 10, 11, 16, 19] sum2 to 302
------- [1, 3, 4, 8, 10, 14, 15, 17] sum2 to 302
------- [1, 3, 4, 8, 11, 13, 14, 18] sum2 to 302
------- [1, 3, 5, 8, 10, 11, 16, 18] sum2 to 302
------- [1, 4, 6, 8, 10, 13, 15, 17] sum2 to 302
------- [2, 3, 4, 5, 8, 13, 17, 18] sum2 to 302
------- [2, 3, 4, 5, 8, 14, 15, 19] sum2 to 302
------- [2, 3, 4, 5, 13, 14, 15, 16] sum2 to 302
------- [2, 3, 4, 6, 8, 11, 17, 19] sum2 to 302
------- [2, 3, 4, 6, 11, 13, 16, 17] sum2 to 302
------- [2, 3, 4, 8, 10, 11, 15, 19] sum2 to 302
------- [2, 3, 4, 10, 11, 13, 15, 16] sum2 to 302
------- [2, 3, 5, 6, 10, 13, 14, 19] sum2 to 302
------- [2, 3, 5, 8, 11, 14, 15, 16] sum2 to 302
------- [2, 4, 5, 6, 8, 13, 15, 19] sum2 to 302
------- [2, 5, 6, 8, 11, 13, 15, 16] sum2 to 302
------- [3, 4, 5, 6, 8, 10, 17, 19] sum2 to 302
------- [3, 4, 5, 6, 10, 13, 16, 17] sum2 to 302
------- [3, 4, 6, 8, 11, 13, 14, 17] sum2 to 302
------- [3, 4, 8, 10, 11, 13, 14, 15] sum2 to 302
------- [3, 5, 6, 8, 10, 11, 16, 17] sum2 to 302
18_SUBTOTAL = 491
[7, 11, 16, 17, 20, 22, 23, 24] sum2 to 522
------- [1, 2, 3, 4, 8, 13, 14, 21] sum2 to 302
------- [1, 2, 3, 4, 12, 13, 14, 19] sum2 to 302
------- [1, 2, 4, 5, 10, 12, 13, 21] sum2 to 302
------- [1, 2, 5, 9, 10, 13, 14, 18] sum2 to 302
------- [1, 3, 4, 5, 8, 10, 18, 19] sum2 to 302
------- [1, 3, 4, 9, 10, 12, 15, 18] sum2 to 302
------- [1, 3, 5, 8, 10, 12, 14, 19] sum2 to 302
------- [1, 5, 6, 8, 9, 12, 15, 18] sum2 to 302
------- [1, 5, 6, 8, 10, 12, 13, 19] sum2 to 302
------- [2, 3, 4, 5, 6, 12, 15, 21] sum2 to 302
------- [2, 3, 4, 5, 8, 14, 15, 19] sum2 to 302
------- [2, 3, 4, 6, 9, 12, 13, 21] sum2 to 302
------- [2, 3, 4, 8, 9, 13, 14, 19] sum2 to 302
------- [2, 3, 5, 6, 9, 14, 15, 18] sum2 to 302
------- [2, 3, 5, 6, 10, 13, 14, 19] sum2 to 302
------- [2, 4, 5, 6, 8, 13, 15, 19] sum2 to 302
------- [2, 4, 5, 8, 9, 10, 13, 21] sum2 to 302
------- [2, 4, 5, 9, 10, 12, 13, 19] sum2 to 302
------- [3, 5, 6, 8, 9, 10, 12, 21] sum2 to 302
19_SUBTOTAL = 510
[7, 12, 15, 16, 21, 22, 23, 24] sum2 to 522
------- [1, 2, 3, 4, 5, 11, 18, 20] sum2 to 302
------- [1, 2, 3, 4, 8, 11, 18, 19] sum2 to 302
------- [1, 2, 3, 4, 9, 10, 17, 20] sum2 to 302
------- [1, 2, 3, 5, 6, 8, 19, 20] sum2 to 302
------- [1, 2, 4, 8, 9, 11, 17, 18] sum2 to 302
------- [1, 2, 5, 6, 8, 9, 17, 20] sum2 to 302
------- [1, 2, 5, 6, 10, 11, 17, 18] sum2 to 302
------- [1, 2, 5, 9, 10, 13, 14, 18] sum2 to 302
------- [1, 2, 6, 9, 10, 11, 14, 19] sum2 to 302
------- [1, 3, 4, 5, 8, 10, 18, 19] sum2 to 302
------- [1, 3, 4, 8, 11, 13, 14, 18] sum2 to 302
------- [1, 3, 5, 6, 8, 13, 14, 20] sum2 to 302
------- [1, 3, 6, 8, 10, 11, 13, 20] sum2 to 302
------- [1, 4, 5, 8, 9, 10, 17, 18] sum2 to 302
------- [2, 3, 4, 5, 6, 11, 17, 20] sum2 to 302
------- [2, 3, 4, 5, 8, 13, 17, 18] sum2 to 302
------- [2, 3, 4, 5, 9, 13, 14, 20] sum2 to 302
------- [2, 3, 4, 6, 8, 11, 17, 19] sum2 to 302
------- [2, 3, 4, 8, 9, 13, 14, 19] sum2 to 302
------- [2, 3, 4, 9, 10, 11, 13, 20] sum2 to 302
------- [2, 3, 5, 6, 10, 13, 14, 19] sum2 to 302
------- [2, 3, 5, 8, 9, 11, 14, 20] sum2 to 302
------- [2, 5, 6, 8, 9, 11, 13, 20] sum2 to 302
------- [2, 5, 6, 9, 10, 13, 14, 17] sum2 to 302
------- [3, 4, 5, 6, 8, 10, 17, 19] sum2 to 302
------- [3, 4, 6, 8, 11, 13, 14, 17] sum2 to 302
------- [4, 5, 6, 8, 9, 11, 14, 19] sum2 to 302
------- [4, 5, 8, 9, 10, 11, 13, 18] sum2 to 302
20_SUBTOTAL = 538
[8, 9, 17, 18, 20, 21, 23, 24] sum2 to 522
------- [1, 2, 3, 4, 12, 13, 14, 19] sum2 to 302
------- [1, 2, 3, 5, 10, 12, 16, 19] sum2 to 302
------- [1, 2, 3, 6, 7, 11, 14, 22] sum2 to 302
------- [1, 2, 3, 11, 12, 13, 14, 16] sum2 to 302
------- [1, 2, 4, 7, 10, 12, 15, 19] sum2 to 302
------- [1, 2, 5, 7, 12, 14, 15, 16] sum2 to 302
------- [1, 2, 7, 10, 11, 12, 15, 16] sum2 to 302
------- [1, 3, 4, 5, 6, 14, 16, 19] sum2 to 302
------- [1, 3, 4, 5, 10, 11, 12, 22] sum2 to 302
------- [1, 3, 4, 6, 10, 11, 16, 19] sum2 to 302
------- [1, 3, 5, 6, 7, 10, 14, 22] sum2 to 302
------- [1, 3, 5, 10, 12, 13, 14, 16] sum2 to 302
------- [1, 4, 5, 6, 11, 12, 14, 19] sum2 to 302
------- [1, 4, 6, 7, 11, 14, 15, 16] sum2 to 302
------- [1, 4, 7, 10, 12, 13, 14, 15] sum2 to 302
------- [2, 3, 4, 5, 7, 12, 13, 22] sum2 to 302
------- [2, 3, 4, 5, 13, 14, 15, 16] sum2 to 302
------- [2, 3, 4, 6, 7, 13, 16, 19] sum2 to 302
------- [2, 3, 4, 7, 11, 12, 14, 19] sum2 to 302
------- [2, 3, 4, 10, 11, 13, 15, 16] sum2 to 302
------- [2, 3, 5, 6, 10, 13, 14, 19] sum2 to 302
------- [2, 4, 5, 11, 12, 13, 14, 15] sum2 to 302
------- [2, 4, 6, 7, 11, 12, 13, 19] sum2 to 302
------- [2, 6, 7, 10, 11, 13, 14, 15] sum2 to 302
------- [3, 4, 5, 7, 10, 12, 14, 19] sum2 to 302
------- [3, 5, 7, 10, 11, 12, 14, 16] sum2 to 302
------- [4, 5, 6, 7, 10, 12, 13, 19] sum2 to 302
------- [5, 6, 7, 10, 11, 12, 13, 16] sum2 to 302
21_SUBTOTAL = 566
[8, 11, 13, 19, 20, 22, 23, 24] sum2 to 522
------- [1, 2, 3, 4, 10, 15, 16, 17] sum2 to 302
------- [1, 2, 4, 5, 7, 15, 16, 18] sum2 to 302
------- [1, 2, 4, 5, 12, 14, 15, 17] sum2 to 302
------- [1, 2, 5, 7, 12, 14, 15, 16] sum2 to 302
------- [1, 2, 5, 9, 10, 12, 16, 17] sum2 to 302
------- [1, 2, 6, 7, 10, 14, 15, 17] sum2 to 302
------- [1, 3, 4, 6, 9, 12, 17, 18] sum2 to 302
------- [1, 3, 4, 9, 10, 12, 15, 18] sum2 to 302
------- [1, 3, 6, 7, 9, 12, 16, 18] sum2 to 302
------- [1, 4, 5, 6, 9, 14, 16, 17] sum2 to 302
------- [1, 4, 5, 9, 10, 14, 15, 16] sum2 to 302
------- [1, 5, 6, 7, 10, 12, 16, 17] sum2 to 302
------- [2, 3, 4, 5, 6, 12, 15, 21] sum2 to 302
------- [2, 3, 4, 5, 7, 10, 16, 21] sum2 to 302
------- [2, 3, 4, 7, 9, 14, 16, 17] sum2 to 302
------- [2, 3, 5, 6, 9, 14, 15, 18] sum2 to 302
------- [2, 4, 5, 6, 7, 15, 16, 17] sum2 to 302
------- [3, 4, 6, 9, 10, 12, 15, 17] sum2 to 302
------- [3, 6, 7, 9, 10, 12, 15, 16] sum2 to 302
------- [4, 5, 6, 7, 9, 12, 15, 18] sum2 to 302
------- [4, 5, 7, 9, 10, 12, 14, 17] sum2 to 302
22_SUBTOTAL = 587
[8, 13, 16, 19, 20, 21, 22, 23] sum2 to 522
------- [1, 2, 3, 6, 7, 9, 12, 24] sum2 to 302
------- [1, 2, 4, 5, 12, 14, 15, 17] sum2 to 302
------- [1, 2, 4, 10, 11, 12, 15, 17] sum2 to 302
------- [1, 2, 5, 6, 10, 11, 17, 18] sum2 to 302
------- [1, 2, 6, 7, 10, 14, 15, 17] sum2 to 302
------- [1, 3, 4, 6, 9, 12, 17, 18] sum2 to 302
------- [1, 3, 4, 9, 10, 12, 15, 18] sum2 to 302
------- [2, 3, 4, 5, 7, 10, 11, 24] sum2 to 302
------- [2, 3, 5, 6, 9, 14, 15, 18] sum2 to 302
------- [2, 3, 6, 9, 10, 11, 15, 18] sum2 to 302
------- [2, 4, 7, 9, 11, 12, 14, 17] sum2 to 302
------- [2, 5, 7, 9, 10, 11, 14, 18] sum2 to 302
------- [3, 4, 5, 6, 11, 12, 15, 18] sum2 to 302
------- [3, 4, 5, 10, 11, 12, 14, 17] sum2 to 302
------- [3, 4, 6, 9, 10, 12, 15, 17] sum2 to 302
------- [4, 5, 6, 7, 9, 12, 15, 18] sum2 to 302
------- [4, 5, 7, 9, 10, 12, 14, 17] sum2 to 302
23_SUBTOTAL = 604
[8, 15, 16, 17, 18, 21, 23, 24] sum2 to 522
------- [1, 2, 3, 4, 12, 13, 14, 19] sum2 to 302
------- [1, 2, 3, 5, 9, 10, 14, 22] sum2 to 302
------- [1, 2, 3, 5, 11, 12, 14, 20] sum2 to 302
------- [1, 2, 3, 6, 7, 11, 14, 22] sum2 to 302
------- [1, 2, 4, 7, 9, 11, 12, 22] sum2 to 302
------- [1, 2, 5, 6, 9, 10, 13, 22] sum2 to 302
------- [1, 2, 5, 6, 11, 12, 13, 20] sum2 to 302
------- [1, 2, 5, 7, 9, 12, 14, 20] sum2 to 302
------- [1, 2, 6, 9, 10, 11, 14, 19] sum2 to 302
------- [1, 2, 7, 9, 10, 11, 12, 20] sum2 to 302
------- [1, 3, 4, 5, 10, 11, 12, 22] sum2 to 302
------- [1, 3, 5, 6, 7, 10, 14, 22] sum2 to 302
------- [1, 4, 5, 6, 11, 12, 14, 19] sum2 to 302
------- [1, 4, 5, 7, 9, 10, 12, 22] sum2 to 302
------- [1, 4, 6, 7, 9, 11, 14, 20] sum2 to 302
------- [2, 3, 4, 5, 6, 7, 19, 20] sum2 to 302
------- [2, 3, 4, 5, 7, 12, 13, 22] sum2 to 302
------- [2, 3, 4, 5, 9, 13, 14, 20] sum2 to 302
------- [2, 3, 4, 7, 11, 12, 14, 19] sum2 to 302
------- [2, 3, 4, 9, 10, 11, 13, 20] sum2 to 302
------- [2, 3, 5, 6, 10, 13, 14, 19] sum2 to 302
------- [2, 3, 5, 7, 10, 12, 13, 20] sum2 to 302
------- [2, 4, 5, 9, 10, 12, 13, 19] sum2 to 302
------- [2, 4, 6, 7, 11, 12, 13, 19] sum2 to 302
------- [2, 5, 6, 7, 9, 10, 11, 22] sum2 to 302
------- [3, 4, 5, 6, 7, 13, 14, 20] sum2 to 302
------- [3, 4, 5, 7, 10, 12, 14, 19] sum2 to 302
------- [3, 4, 6, 7, 10, 11, 13, 20] sum2 to 302
------- [4, 5, 6, 7, 10, 12, 13, 19] sum2 to 302
24_SUBTOTAL = 633
[9, 10, 13, 18, 21, 22, 23, 24] sum2 to 522
------- [1, 2, 3, 4, 7, 14, 15, 20] sum2 to 302
------- [1, 2, 3, 5, 6, 8, 19, 20] sum2 to 302
------- [1, 2, 3, 5, 11, 12, 14, 20] sum2 to 302
------- [1, 2, 3, 8, 11, 12, 14, 19] sum2 to 302
------- [1, 2, 4, 5, 12, 14, 15, 17] sum2 to 302
------- [1, 2, 4, 6, 7, 12, 17, 19] sum2 to 302
------- [1, 2, 5, 6, 8, 15, 16, 17] sum2 to 302
------- [1, 2, 5, 7, 12, 14, 15, 16] sum2 to 302
------- [1, 2, 6, 7, 8, 11, 15, 20] sum2 to 302
------- [1, 2, 6, 7, 11, 12, 16, 17] sum2 to 302
------- [1, 3, 4, 5, 6, 14, 16, 19] sum2 to 302
------- [1, 3, 4, 5, 7, 12, 16, 20] sum2 to 302
------- [1, 3, 4, 7, 8, 12, 16, 19] sum2 to 302
------- [1, 3, 4, 8, 11, 12, 16, 17] sum2 to 302
------- [1, 3, 6, 7, 8, 14, 16, 17] sum2 to 302
------- [1, 4, 5, 6, 11, 12, 14, 19] sum2 to 302
------- [1, 4, 6, 7, 11, 14, 15, 16] sum2 to 302
------- [1, 6, 7, 8, 11, 12, 14, 17] sum2 to 302
------- [2, 3, 4, 5, 6, 7, 19, 20] sum2 to 302
------- [2, 3, 4, 5, 6, 11, 17, 20] sum2 to 302
------- [2, 3, 4, 5, 8, 14, 15, 19] sum2 to 302
------- [2, 3, 4, 6, 8, 11, 17, 19] sum2 to 302
------- [2, 3, 4, 7, 11, 12, 14, 19] sum2 to 302
------- [2, 3, 5, 6, 7, 11, 16, 20] sum2 to 302
------- [2, 3, 5, 8, 11, 14, 15, 16] sum2 to 302
------- [2, 3, 6, 7, 8, 11, 16, 19] sum2 to 302
------- [2, 4, 5, 6, 7, 15, 16, 17] sum2 to 302
------- [3, 5, 6, 7, 8, 11, 14, 20] sum2 to 302
------- [4, 5, 6, 7, 8, 14, 15, 17] sum2 to 302
------- [4, 5, 7, 8, 11, 12, 15, 16] sum2 to 302
25_SUBTOTAL = 663
[9, 12, 17, 18, 19, 20, 23, 24] sum2 to 522
------- [1, 2, 3, 4, 8, 13, 14, 21] sum2 to 302
------- [1, 2, 3, 5, 8, 10, 16, 21] sum2 to 302
------- [1, 2, 3, 6, 7, 11, 14, 22] sum2 to 302
------- [1, 2, 4, 5, 6, 11, 16, 21] sum2 to 302
------- [1, 2, 4, 7, 8, 10, 15, 21] sum2 to 302
------- [1, 3, 4, 6, 8, 11, 13, 22] sum2 to 302
------- [1, 3, 5, 6, 7, 10, 14, 22] sum2 to 302
------- [1, 3, 7, 8, 10, 14, 15, 16] sum2 to 302
------- [1, 4, 5, 6, 7, 8, 15, 22] sum2 to 302
------- [1, 4, 5, 6, 8, 11, 14, 21] sum2 to 302
------- [1, 4, 6, 7, 11, 14, 15, 16] sum2 to 302
------- [1, 6, 7, 8, 10, 13, 15, 16] sum2 to 302
------- [2, 3, 4, 5, 7, 10, 16, 21] sum2 to 302
------- [2, 3, 4, 5, 13, 14, 15, 16] sum2 to 302
------- [2, 3, 4, 7, 8, 11, 14, 21] sum2 to 302
------- [2, 3, 4, 10, 11, 13, 15, 16] sum2 to 302
------- [2, 3, 5, 8, 11, 14, 15, 16] sum2 to 302
------- [2, 4, 6, 7, 8, 11, 13, 21] sum2 to 302
------- [2, 5, 6, 8, 11, 13, 15, 16] sum2 to 302
------- [2, 6, 7, 10, 11, 13, 14, 15] sum2 to 302
------- [3, 4, 5, 7, 8, 10, 14, 21] sum2 to 302
------- [3, 4, 8, 10, 11, 13, 14, 15] sum2 to 302
------- [3, 6, 7, 8, 11, 13, 14, 16] sum2 to 302
------- [4, 5, 6, 7, 8, 10, 13, 21] sum2 to 302
26_SUBTOTAL = 687
[9, 14, 15, 16, 20, 21, 23, 24] sum2 to 522
------- [1, 2, 3, 4, 8, 11, 18, 19] sum2 to 302
------- [1, 2, 3, 5, 8, 12, 13, 22] sum2 to 302
------- [1, 2, 4, 6, 7, 12, 17, 19] sum2 to 302
------- [1, 2, 5, 6, 7, 10, 18, 19] sum2 to 302
------- [1, 2, 5, 6, 10, 11, 17, 18] sum2 to 302
------- [1, 2, 5, 7, 8, 12, 17, 18] sum2 to 302
------- [1, 2, 6, 8, 11, 12, 13, 19] sum2 to 302
------- [1, 3, 4, 5, 8, 10, 18, 19] sum2 to 302
------- [1, 3, 4, 5, 10, 11, 12, 22] sum2 to 302
------- [1, 3, 4, 6, 8, 11, 13, 22] sum2 to 302
------- [1, 4, 5, 10, 11, 12, 13, 18] sum2 to 302
------- [1, 4, 6, 7, 8, 11, 17, 18] sum2 to 302
------- [1, 5, 6, 8, 10, 12, 13, 19] sum2 to 302
------- [2, 3, 4, 5, 7, 12, 13, 22] sum2 to 302
------- [2, 3, 4, 5, 8, 13, 17, 18] sum2 to 302
------- [2, 3, 4, 6, 8, 11, 17, 19] sum2 to 302
------- [2, 3, 5, 7, 8, 11, 12, 22] sum2 to 302
------- [2, 3, 7, 8, 10, 12, 13, 19] sum2 to 302
------- [2, 3, 8, 10, 11, 12, 13, 17] sum2 to 302
------- [2, 4, 6, 7, 11, 12, 13, 19] sum2 to 302
------- [2, 5, 7, 8, 11, 12, 13, 18] sum2 to 302
------- [3, 4, 5, 6, 8, 10, 17, 19] sum2 to 302
------- [4, 5, 6, 7, 10, 12, 13, 19] sum2 to 302
------- [4, 5, 6, 10, 11, 12, 13, 17] sum2 to 302
------- [5, 6, 7, 8, 10, 11, 12, 19] sum2 to 302
27_SUBTOTAL = 712
[9, 14, 15, 17, 18, 22, 23, 24] sum2 to 522
------- [1, 2, 3, 5, 6, 8, 19, 20] sum2 to 302
------- [1, 2, 3, 5, 6, 13, 16, 20] sum2 to 302
------- [1, 2, 3, 5, 8, 10, 16, 21] sum2 to 302
------- [1, 2, 3, 5, 10, 12, 16, 19] sum2 to 302
------- [1, 2, 3, 6, 8, 13, 16, 19] sum2 to 302
------- [1, 2, 4, 5, 6, 11, 16, 21] sum2 to 302
------- [1, 2, 4, 5, 10, 12, 13, 21] sum2 to 302
------- [1, 2, 5, 6, 11, 12, 13, 20] sum2 to 302
------- [1, 2, 5, 8, 10, 11, 12, 21] sum2 to 302
------- [1, 2, 6, 8, 11, 12, 13, 19] sum2 to 302
------- [1, 3, 4, 5, 7, 12, 16, 20] sum2 to 302
------- [1, 3, 4, 6, 10, 11, 16, 19] sum2 to 302
------- [1, 3, 4, 7, 8, 12, 16, 19] sum2 to 302
------- [1, 3, 6, 8, 10, 11, 13, 20] sum2 to 302
------- [1, 5, 6, 8, 10, 12, 13, 19] sum2 to 302
------- [2, 3, 4, 5, 6, 7, 19, 20] sum2 to 302
------- [2, 3, 4, 5, 7, 10, 16, 21] sum2 to 302
------- [2, 3, 4, 6, 7, 13, 16, 19] sum2 to 302
------- [2, 3, 5, 6, 7, 11, 16, 20] sum2 to 302
------- [2, 3, 5, 7, 10, 12, 13, 20] sum2 to 302
------- [2, 3, 6, 7, 8, 11, 16, 19] sum2 to 302
------- [2, 3, 7, 8, 10, 12, 13, 19] sum2 to 302
------- [2, 4, 5, 7, 10, 11, 12, 21] sum2 to 302
------- [2, 4, 6, 7, 8, 11, 13, 21] sum2 to 302
------- [2, 4, 6, 7, 11, 12, 13, 19] sum2 to 302
------- [3, 4, 6, 7, 10, 11, 13, 20] sum2 to 302
------- [3, 5, 6, 7, 8, 10, 16, 19] sum2 to 302
------- [4, 5, 6, 7, 8, 10, 13, 21] sum2 to 302
------- [4, 5, 6, 7, 10, 12, 13, 19] sum2 to 302
------- [5, 6, 7, 8, 10, 11, 12, 19] sum2 to 302
------- [5, 6, 7, 10, 11, 12, 13, 16] sum2 to 302
28_SUBTOTAL = 743
[10, 12, 15, 17, 20, 21, 23, 24] sum2 to 522
------- [1, 2, 3, 4, 7, 9, 16, 22] sum2 to 302
------- [1, 2, 3, 4, 8, 11, 18, 19] sum2 to 302
------- [1, 2, 3, 4, 11, 13, 16, 18] sum2 to 302
------- [1, 2, 3, 6, 7, 11, 14, 22] sum2 to 302
------- [1, 2, 3, 6, 8, 13, 16, 19] sum2 to 302
------- [1, 2, 4, 7, 8, 9, 18, 19] sum2 to 302
------- [1, 2, 4, 7, 9, 13, 16, 18] sum2 to 302
------- [1, 2, 6, 7, 11, 13, 14, 18] sum2 to 302
------- [1, 2, 7, 8, 9, 11, 16, 18] sum2 to 302
------- [1, 3, 4, 5, 6, 14, 16, 19] sum2 to 302
------- [1, 3, 4, 6, 8, 11, 13, 22] sum2 to 302
------- [1, 3, 4, 7, 8, 9, 14, 22] sum2 to 302
------- [1, 3, 4, 8, 11, 13, 14, 18] sum2 to 302
------- [1, 4, 6, 7, 8, 9, 13, 22] sum2 to 302
------- [1, 4, 7, 8, 9, 13, 14, 18] sum2 to 302
------- [2, 3, 4, 6, 7, 13, 16, 19] sum2 to 302
------- [2, 3, 4, 8, 9, 13, 14, 19] sum2 to 302
------- [2, 3, 5, 7, 8, 13, 16, 18] sum2 to 302
------- [2, 3, 6, 7, 8, 11, 16, 19] sum2 to 302
------- [2, 3, 8, 9, 11, 13, 14, 16] sum2 to 302
------- [2, 4, 5, 6, 9, 11, 16, 19] sum2 to 302
------- [3, 4, 6, 7, 8, 13, 14, 19] sum2 to 302
------- [3, 6, 7, 8, 11, 13, 14, 16] sum2 to 302
------- [4, 5, 6, 8, 9, 11, 14, 19] sum2 to 302
------- [4, 5, 6, 9, 11, 13, 14, 16] sum2 to 302
29_SUBTOTAL = 768
[10, 13, 14, 17, 19, 22, 23, 24] sum2 to 522
------- [1, 2, 3, 4, 5, 11, 18, 20] sum2 to 302
------- [1, 2, 3, 6, 9, 12, 15, 20] sum2 to 302
------- [1, 2, 4, 5, 6, 11, 16, 21] sum2 to 302
------- [1, 2, 4, 5, 7, 9, 18, 20] sum2 to 302
------- [1, 2, 4, 5, 7, 15, 16, 18] sum2 to 302
------- [1, 2, 6, 7, 8, 11, 15, 20] sum2 to 302
------- [1, 2, 7, 8, 9, 11, 16, 18] sum2 to 302
------- [1, 3, 4, 5, 7, 12, 16, 20] sum2 to 302
------- [1, 3, 6, 7, 9, 12, 16, 18] sum2 to 302
------- [1, 5, 6, 8, 9, 12, 15, 18] sum2 to 302
------- [2, 3, 4, 5, 6, 12, 15, 21] sum2 to 302
------- [2, 3, 5, 6, 7, 11, 16, 20] sum2 to 302
------- [2, 3, 6, 8, 9, 11, 12, 21] sum2 to 302
------- [2, 3, 7, 8, 9, 12, 15, 18] sum2 to 302
------- [3, 4, 5, 6, 11, 12, 15, 18] sum2 to 302
------- [3, 4, 5, 7, 8, 9, 16, 20] sum2 to 302
------- [4, 5, 6, 7, 9, 12, 15, 18] sum2 to 302
------- [4, 5, 7, 8, 9, 11, 12, 20] sum2 to 302
------- [4, 5, 7, 8, 11, 12, 15, 16] sum2 to 302
30_SUBTOTAL = 787
[11, 12, 13, 18, 20, 21, 23, 24] sum2 to 522
------- [1, 2, 3, 4, 7, 9, 16, 22] sum2 to 302
------- [1, 2, 3, 4, 10, 15, 16, 17] sum2 to 302
------- [1, 2, 3, 5, 9, 10, 14, 22] sum2 to 302
------- [1, 2, 3, 8, 9, 14, 16, 17] sum2 to 302
------- [1, 2, 4, 5, 8, 9, 15, 22] sum2 to 302
------- [1, 2, 5, 6, 8, 15, 16, 17] sum2 to 302
------- [1, 2, 6, 7, 10, 14, 15, 17] sum2 to 302
------- [1, 3, 4, 5, 6, 14, 16, 19] sum2 to 302
------- [1, 3, 4, 7, 8, 9, 14, 22] sum2 to 302
------- [1, 3, 4, 8, 10, 14, 15, 17] sum2 to 302
------- [1, 3, 5, 6, 7, 10, 14, 22] sum2 to 302
------- [1, 3, 6, 7, 8, 14, 16, 17] sum2 to 302
------- [1, 3, 7, 8, 10, 14, 15, 16] sum2 to 302
------- [1, 4, 5, 6, 7, 8, 15, 22] sum2 to 302
------- [1, 4, 5, 6, 9, 14, 16, 17] sum2 to 302
------- [1, 4, 5, 9, 10, 14, 15, 16] sum2 to 302
------- [1, 4, 6, 7, 9, 10, 16, 19] sum2 to 302
------- [2, 3, 4, 5, 8, 14, 15, 19] sum2 to 302
------- [2, 3, 4, 7, 9, 14, 16, 17] sum2 to 302
------- [2, 3, 5, 8, 9, 10, 16, 19] sum2 to 302
------- [2, 4, 5, 6, 7, 15, 16, 17] sum2 to 302
------- [2, 4, 5, 8, 9, 14, 15, 17] sum2 to 302
------- [2, 4, 6, 7, 8, 9, 17, 19] sum2 to 302
------- [2, 4, 7, 8, 9, 10, 15, 19] sum2 to 302
------- [2, 5, 7, 8, 9, 14, 15, 16] sum2 to 302
------- [3, 4, 5, 6, 8, 10, 17, 19] sum2 to 302
------- [3, 5, 6, 7, 8, 10, 16, 19] sum2 to 302
------- [4, 5, 6, 7, 8, 14, 15, 17] sum2 to 302
------- [5, 6, 7, 8, 9, 10, 16, 17] sum2 to 302
31_SUBTOTAL = 816
[11, 14, 17, 18, 19, 20, 22, 23] sum2 to 522
------- [1, 2, 3, 4, 5, 10, 13, 24] sum2 to 302
------- [1, 2, 3, 5, 8, 10, 16, 21] sum2 to 302
------- [1, 2, 3, 6, 7, 9, 12, 24] sum2 to 302
------- [1, 2, 4, 5, 10, 12, 13, 21] sum2 to 302
------- [1, 2, 4, 7, 8, 10, 15, 21] sum2 to 302
------- [1, 2, 5, 7, 8, 9, 10, 24] sum2 to 302
------- [1, 2, 8, 9, 10, 13, 15, 16] sum2 to 302
------- [1, 4, 5, 8, 12, 13, 15, 16] sum2 to 302
------- [1, 6, 7, 8, 10, 13, 15, 16] sum2 to 302
------- [2, 3, 4, 5, 6, 12, 15, 21] sum2 to 302
------- [2, 3, 4, 5, 7, 10, 16, 21] sum2 to 302
------- [2, 3, 4, 6, 9, 12, 13, 21] sum2 to 302
------- [2, 4, 5, 8, 9, 10, 13, 21] sum2 to 302
------- [2, 4, 7, 9, 10, 13, 15, 16] sum2 to 302
------- [3, 5, 6, 8, 9, 10, 12, 21] sum2 to 302
------- [3, 6, 7, 9, 10, 12, 15, 16] sum2 to 302
------- [4, 5, 6, 7, 8, 10, 13, 21] sum2 to 302
32_SUBTOTAL = 833
[11, 15, 16, 18, 19, 20, 21, 24] sum2 to 522
------- [1, 2, 3, 4, 8, 9, 14, 23] sum2 to 302
------- [1, 2, 3, 5, 6, 10, 14, 23] sum2 to 302
------- [1, 2, 3, 5, 8, 12, 13, 22] sum2 to 302
------- [1, 2, 3, 5, 9, 10, 14, 22] sum2 to 302
------- [1, 2, 3, 7, 8, 10, 12, 23] sum2 to 302
------- [1, 2, 4, 5, 9, 10, 12, 23] sum2 to 302
------- [1, 2, 4, 6, 8, 9, 13, 23] sum2 to 302
------- [1, 2, 4, 9, 12, 13, 14, 17] sum2 to 302
------- [1, 2, 5, 6, 9, 10, 13, 22] sum2 to 302
------- [1, 3, 4, 6, 7, 8, 14, 23] sum2 to 302
------- [1, 3, 4, 7, 8, 9, 14, 22] sum2 to 302
------- [1, 3, 5, 6, 7, 10, 14, 22] sum2 to 302
------- [1, 4, 5, 6, 7, 10, 12, 23] sum2 to 302
------- [1, 4, 5, 7, 9, 10, 12, 22] sum2 to 302
------- [1, 4, 6, 7, 8, 9, 13, 22] sum2 to 302
------- [1, 4, 6, 7, 12, 13, 14, 17] sum2 to 302
------- [1, 5, 8, 9, 10, 12, 14, 17] sum2 to 302
------- [2, 3, 4, 5, 7, 12, 13, 22] sum2 to 302
------- [2, 3, 5, 8, 12, 13, 14, 17] sum2 to 302
------- [2, 5, 6, 9, 10, 13, 14, 17] sum2 to 302
------- [2, 7, 8, 9, 10, 12, 13, 17] sum2 to 302
------- [4, 5, 6, 7, 8, 9, 10, 23] sum2 to 302
------- [4, 5, 7, 9, 10, 12, 14, 17] sum2 to 302
------- [4, 6, 7, 8, 9, 13, 14, 17] sum2 to 302
33_SUBTOTAL = 857
[12, 13, 17, 18, 19, 20, 21, 24] sum2 to 522
------- [1, 2, 3, 4, 6, 7, 16, 23] sum2 to 302
------- [1, 2, 3, 4, 7, 9, 16, 22] sum2 to 302
------- [1, 2, 3, 4, 8, 9, 14, 23] sum2 to 302
------- [1, 2, 3, 5, 6, 10, 14, 23] sum2 to 302
------- [1, 2, 3, 5, 9, 10, 14, 22] sum2 to 302
------- [1, 2, 3, 6, 7, 11, 14, 22] sum2 to 302
------- [1, 2, 4, 5, 6, 8, 15, 23] sum2 to 302
------- [1, 2, 4, 5, 8, 9, 15, 22] sum2 to 302
------- [1, 2, 4, 9, 11, 14, 15, 16] sum2 to 302
------- [1, 3, 4, 6, 7, 8, 14, 23] sum2 to 302
------- [1, 3, 4, 7, 8, 9, 14, 22] sum2 to 302
------- [1, 3, 5, 6, 7, 10, 14, 22] sum2 to 302
------- [1, 3, 7, 8, 10, 14, 15, 16] sum2 to 302
------- [1, 4, 5, 6, 7, 8, 15, 22] sum2 to 302
------- [1, 4, 5, 9, 10, 14, 15, 16] sum2 to 302
------- [1, 4, 6, 7, 11, 14, 15, 16] sum2 to 302
------- [2, 3, 5, 8, 11, 14, 15, 16] sum2 to 302
------- [2, 4, 6, 7, 8, 9, 11, 23] sum2 to 302
------- [2, 5, 6, 7, 9, 10, 11, 22] sum2 to 302
------- [2, 5, 7, 8, 9, 14, 15, 16] sum2 to 302
------- [2, 7, 8, 9, 10, 11, 15, 16] sum2 to 302
------- [3, 4, 5, 6, 8, 10, 11, 23] sum2 to 302
------- [3, 4, 5, 8, 9, 10, 11, 22] sum2 to 302
------- [4, 5, 6, 7, 8, 9, 10, 23] sum2 to 302
34_SUBTOTAL = 881
[12, 14, 15, 18, 19, 21, 22, 23] sum2 to 522
------- [1, 2, 3, 4, 5, 10, 13, 24] sum2 to 302
------- [1, 2, 3, 4, 9, 10, 17, 20] sum2 to 302
------- [1, 2, 3, 5, 6, 13, 16, 20] sum2 to 302
------- [1, 2, 3, 5, 8, 10, 11, 24] sum2 to 302
------- [1, 2, 3, 7, 9, 10, 16, 20] sum2 to 302
------- [1, 2, 5, 6, 8, 9, 17, 20] sum2 to 302
------- [1, 2, 5, 7, 8, 9, 10, 24] sum2 to 302
------- [1, 2, 6, 8, 9, 13, 16, 17] sum2 to 302
------- [1, 3, 4, 6, 7, 10, 17, 20] sum2 to 302
------- [1, 3, 6, 8, 10, 11, 13, 20] sum2 to 302
------- [1, 4, 6, 9, 10, 11, 16, 17] sum2 to 302
------- [1, 6, 7, 8, 9, 10, 13, 20] sum2 to 302
------- [2, 3, 4, 5, 6, 11, 17, 20] sum2 to 302
------- [2, 3, 4, 5, 7, 10, 11, 24] sum2 to 302
------- [2, 3, 4, 6, 11, 13, 16, 17] sum2 to 302
------- [2, 3, 4, 9, 10, 11, 13, 20] sum2 to 302
------- [2, 3, 5, 6, 7, 11, 16, 20] sum2 to 302
------- [2, 4, 5, 6, 7, 9, 17, 20] sum2 to 302
------- [2, 4, 6, 7, 9, 13, 16, 17] sum2 to 302
------- [2, 5, 6, 8, 9, 11, 13, 20] sum2 to 302
------- [2, 6, 7, 8, 9, 11, 16, 17] sum2 to 302
------- [3, 4, 5, 6, 10, 13, 16, 17] sum2 to 302
------- [3, 4, 5, 7, 8, 9, 16, 20] sum2 to 302
------- [3, 4, 6, 7, 10, 11, 13, 20] sum2 to 302
------- [3, 5, 6, 8, 10, 11, 16, 17] sum2 to 302
------- [5, 6, 7, 8, 9, 10, 16, 17] sum2 to 302
35_SUBTOTAL = 907
[12, 15, 16, 17, 18, 19, 23, 24] sum2 to 522
------- [1, 2, 3, 4, 8, 13, 14, 21] sum2 to 302
------- [1, 2, 3, 5, 9, 10, 14, 22] sum2 to 302
------- [1, 2, 3, 6, 7, 11, 14, 22] sum2 to 302
------- [1, 2, 5, 6, 9, 10, 13, 22] sum2 to 302
------- [1, 3, 4, 6, 8, 11, 13, 22] sum2 to 302
------- [1, 3, 4, 7, 8, 9, 14, 22] sum2 to 302
------- [1, 3, 5, 6, 7, 10, 14, 22] sum2 to 302
------- [1, 3, 5, 6, 8, 13, 14, 20] sum2 to 302
------- [1, 3, 6, 8, 10, 11, 13, 20] sum2 to 302
------- [1, 3, 7, 8, 9, 10, 14, 20] sum2 to 302
------- [1, 4, 5, 6, 8, 11, 14, 21] sum2 to 302
------- [1, 4, 6, 7, 8, 9, 13, 22] sum2 to 302
------- [1, 4, 6, 7, 9, 11, 14, 20] sum2 to 302
------- [1, 6, 7, 8, 9, 10, 13, 20] sum2 to 302
------- [2, 3, 4, 5, 9, 13, 14, 20] sum2 to 302
------- [2, 3, 4, 7, 8, 11, 14, 21] sum2 to 302
------- [2, 3, 4, 9, 10, 11, 13, 20] sum2 to 302
------- [2, 3, 5, 8, 9, 11, 14, 20] sum2 to 302
------- [2, 4, 5, 8, 9, 10, 13, 21] sum2 to 302
------- [2, 4, 6, 7, 8, 11, 13, 21] sum2 to 302
------- [2, 5, 6, 7, 9, 10, 11, 22] sum2 to 302
------- [2, 5, 6, 8, 9, 11, 13, 20] sum2 to 302
------- [3, 4, 5, 6, 7, 13, 14, 20] sum2 to 302
------- [3, 4, 5, 7, 8, 10, 14, 21] sum2 to 302
------- [3, 4, 5, 8, 9, 10, 11, 22] sum2 to 302
------- [3, 4, 6, 7, 10, 11, 13, 20] sum2 to 302
------- [3, 5, 6, 7, 8, 11, 14, 20] sum2 to 302
------- [4, 5, 6, 7, 8, 10, 13, 21] sum2 to 302
36_SUBTOTAL = 935
[13, 14, 15, 17, 18, 21, 22, 24] sum2 to 522
------- [1, 2, 3, 4, 6, 7, 16, 23] sum2 to 302
------- [1, 2, 3, 5, 6, 8, 19, 20] sum2 to 302
------- [1, 2, 3, 5, 10, 12, 16, 19] sum2 to 302
------- [1, 2, 3, 7, 8, 10, 12, 23] sum2 to 302
------- [1, 2, 3, 7, 9, 10, 16, 20] sum2 to 302
------- [1, 2, 4, 5, 9, 10, 12, 23] sum2 to 302
------- [1, 2, 4, 6, 7, 11, 12, 23] sum2 to 302
------- [1, 2, 7, 9, 10, 11, 12, 20] sum2 to 302
------- [1, 3, 4, 5, 7, 12, 16, 20] sum2 to 302
------- [1, 3, 4, 6, 10, 11, 16, 19] sum2 to 302
------- [1, 3, 4, 7, 8, 12, 16, 19] sum2 to 302
------- [1, 4, 5, 6, 7, 10, 12, 23] sum2 to 302
------- [1, 4, 6, 7, 9, 10, 16, 19] sum2 to 302
------- [2, 3, 4, 5, 6, 7, 19, 20] sum2 to 302
------- [2, 3, 5, 6, 7, 11, 16, 20] sum2 to 302
------- [2, 3, 5, 8, 9, 10, 16, 19] sum2 to 302
------- [2, 3, 6, 7, 8, 11, 16, 19] sum2 to 302
------- [2, 4, 5, 6, 9, 11, 16, 19] sum2 to 302
------- [2, 4, 6, 7, 8, 9, 11, 23] sum2 to 302
------- [2, 5, 8, 9, 10, 11, 12, 19] sum2 to 302
------- [3, 4, 5, 6, 8, 10, 11, 23] sum2 to 302
------- [3, 4, 5, 7, 8, 9, 16, 20] sum2 to 302
------- [3, 5, 6, 7, 8, 10, 16, 19] sum2 to 302
------- [4, 5, 6, 7, 8, 9, 10, 23] sum2 to 302
------- [4, 5, 7, 8, 9, 11, 12, 20] sum2 to 302
------- [5, 6, 7, 8, 10, 11, 12, 19] sum2 to 302
37_SUBTOTAL = 961

At present there is no reason to assume that 961 = 312 and 31 = 24 + 7 = 25 - 1 is at all significant.
(2004.03.01: More anon.)

The null vector u = [1,1,1,1,1,1,1,1,1 | 3] in the Lorentzian space R9,1 plays a special role in a derivation
of the E8 lattice. For any given octet x = [x1, ..., x8], with x12 + ... + x82 = k2, define the R9,1 null vector
n(x) = [0, x1, ..., x8 | k].
Then the inner product of u and n(x) is
<u, n(x)> = x1 + ... + x8 - 3k.

Of the 361 octet triples (x,y,z) above there are 72 that satisfy the following interesting property:
<u, n(x)> = <u, n(y)> = <u, n(z)> = -18.
Therefore, if
x12 + ... + x82 = 302 and y12 + ... + y82 = 362 and z12 + ... + z82 = 522,
then
x1 + ... + x8 = 72 and y1 + ... + y8 = 90 and z1 + ... + z8 = 138.

If we define
p(x) = [18, x1, ..., x8 | k], then
<u, p(x)> = <u, p(y)> = <u, p(z)> = 0.

The 72 triples are indicated in the list below:

[2, 14, 17, 19, 20, 21, 22, 23: sum 138] sum2 522
------- [1, 3, 4, 9, 10, 12, 15, 18: sum 72] sum2 302
------- [1, 3, 5, 8, 10, 11, 16, 18: sum 72] sum2 302
------- [1, 3, 6, 7, 9, 12, 16, 18: sum 72] sum2 302
1_SUBTOTAL = 3
[2, 15, 17, 18, 19, 21, 22, 24: sum 138] sum2 522
------- [1, 3, 6, 8, 10, 11, 13, 20: sum 72] sum2 302
------- [1, 3, 7, 8, 9, 10, 14, 20: sum 72] sum2 302
------- [1, 4, 5, 8, 9, 12, 13, 20: sum 72] sum2 302
------- [1, 4, 6, 7, 9, 11, 14, 20: sum 72] sum2 302
------- [3, 4, 5, 6, 7, 13, 14, 20: sum 72] sum2 302
------- [3, 4, 5, 7, 8, 9, 16, 20: sum 72] sum2 302
------- [4, 5, 6, 7, 8, 9, 10, 23: sum 72] sum2 302
2_SUBTOTAL = 10
[3, 12, 17, 19, 20, 21, 22, 24: sum 138] sum2 522
------- [1, 2, 4, 9, 11, 14, 15, 16: sum 72] sum2 302
------- [1, 2, 5, 9, 10, 13, 14, 18: sum 72] sum2 302
------- [1, 2, 6, 7, 11, 13, 14, 18: sum 72] sum2 302
------- [1, 2, 7, 8, 9, 11, 16, 18: sum 72] sum2 302
------- [1, 4, 5, 7, 8, 14, 15, 18: sum 72] sum2 302
------- [4, 5, 6, 7, 8, 9, 10, 23: sum 72] sum2 302
3_SUBTOTAL = 16
[3, 13, 16, 18, 20, 21, 23, 24: sum 138] sum2 522
------- [1, 2, 4, 10, 11, 12, 15, 17: sum 72] sum2 302
------- [1, 2, 6, 7, 10, 14, 15, 17: sum 72] sum2 302
------- [1, 2, 6, 9, 10, 11, 14, 19: sum 72] sum2 302
------- [1, 2, 7, 8, 9, 12, 14, 19: sum 72] sum2 302
------- [1, 4, 5, 6, 11, 12, 14, 19: sum 72] sum2 302
------- [2, 4, 6, 7, 8, 9, 17, 19: sum 72] sum2 302
------- [2, 5, 6, 7, 9, 10, 11, 22: sum 72] sum2 302
4_SUBTOTAL = 23
[3, 14, 15, 18, 19, 22, 23, 24: sum 138] sum2 522
------- [1, 2, 5, 9, 10, 12, 16, 17: sum 72] sum2 302
------- [1, 2, 6, 7, 11, 12, 16, 17: sum 72] sum2 302
------- [1, 2, 6, 8, 9, 13, 16, 17: sum 72] sum2 302
------- [1, 2, 7, 9, 10, 11, 12, 20: sum 72] sum2 302
------- [1, 4, 5, 8, 9, 12, 13, 20: sum 72] sum2 302
------- [2, 4, 5, 7, 10, 11, 12, 21: sum 72] sum2 302
------- [2, 4, 5, 8, 9, 10, 13, 21: sum 72] sum2 302
------- [2, 4, 6, 7, 8, 11, 13, 21: sum 72] sum2 302
5_SUBTOTAL = 31
[4, 12, 15, 17, 21, 22, 23, 24: sum 138] sum2 522
------- [1, 2, 5, 9, 10, 13, 14, 18: sum 72] sum2 302
------- [1, 2, 6, 7, 11, 13, 14, 18: sum 72] sum2 302
------- [1, 2, 6, 9, 10, 11, 14, 19: sum 72] sum2 302
------- [1, 2, 7, 8, 9, 11, 16, 18: sum 72] sum2 302
------- [1, 3, 5, 8, 10, 11, 16, 18: sum 72] sum2 302
------- [1, 3, 6, 8, 10, 11, 13, 20: sum 72] sum2 302
------- [1, 3, 7, 8, 9, 10, 14, 20: sum 72] sum2 302
------- [2, 3, 5, 6, 10, 13, 14, 19: sum 72] sum2 302
------- [2, 3, 5, 7, 8, 13, 16, 18: sum 72] sum2 302
------- [2, 3, 5, 8, 9, 10, 16, 19: sum 72] sum2 302
------- [2, 3, 5, 8, 9, 11, 14, 20: sum 72] sum2 302
------- [2, 3, 6, 7, 8, 11, 16, 19: sum 72] sum2 302
6_SUBTOTAL = 43
[5, 10, 15, 18, 21, 22, 23, 24: sum 138] sum2 522
------- [1, 2, 3, 11, 12, 13, 14, 16: sum 72] sum2 302
------- [1, 2, 4, 9, 12, 13, 14, 17: sum 72] sum2 302
------- [1, 2, 6, 7, 11, 12, 16, 17: sum 72] sum2 302
------- [1, 2, 6, 8, 9, 13, 16, 17: sum 72] sum2 302
------- [1, 2, 6, 8, 11, 12, 13, 19: sum 72] sum2 302
------- [1, 2, 7, 8, 9, 12, 14, 19: sum 72] sum2 302
------- [1, 3, 4, 8, 11, 12, 16, 17: sum 72] sum2 302
------- [1, 3, 6, 7, 8, 14, 16, 17: sum 72] sum2 302
------- [1, 4, 6, 7, 9, 11, 14, 20: sum 72] sum2 302
------- [2, 3, 4, 6, 11, 13, 16, 17: sum 72] sum2 302
------- [2, 3, 4, 7, 9, 14, 16, 17: sum 72] sum2 302
------- [2, 3, 4, 7, 11, 12, 14, 19: sum 72] sum2 302
------- [2, 3, 4, 8, 9, 13, 14, 19: sum 72] sum2 302
------- [2, 3, 6, 7, 8, 11, 16, 19: sum 72] sum2 302
------- [2, 4, 6, 7, 8, 9, 17, 19: sum 72] sum2 302
7_SUBTOTAL = 58
[6, 9, 14, 19, 21, 22, 23, 24: sum 138] sum2 522
------- [1, 2, 4, 10, 11, 12, 15, 17: sum 72] sum2 302
------- [1, 3, 4, 8, 11, 12, 16, 17: sum 72] sum2 302
------- [1, 3, 5, 8, 10, 11, 16, 18: sum 72] sum2 302
------- [2, 3, 5, 7, 8, 13, 16, 18: sum 72] sum2 302
------- [2, 3, 5, 7, 10, 12, 13, 20: sum 72] sum2 302
8_SUBTOTAL = 63
[7, 9, 12, 20, 21, 22, 23, 24: sum 138] sum2 522
------- [1, 3, 4, 8, 10, 14, 15, 17: sum 72] sum2 302
------- [1, 3, 4, 8, 11, 13, 14, 18: sum 72] sum2 302
------- [1, 3, 5, 8, 10, 11, 16, 18: sum 72] sum2 302
------- [2, 3, 4, 5, 13, 14, 15, 16: sum 72] sum2 302
------- [2, 3, 4, 6, 11, 13, 16, 17: sum 72] sum2 302
------- [2, 3, 4, 8, 10, 11, 15, 19: sum 72] sum2 302
------- [2, 3, 5, 6, 10, 13, 14, 19: sum 72] sum2 302
------- [2, 4, 5, 6, 8, 13, 15, 19: sum 72] sum2 302
------- [3, 4, 5, 6, 8, 10, 17, 19: sum 72] sum2 302
9_SUBTOTAL = 72
(2004.03.09: More anon.)

In 2004 I published a paper in JMP in which I motivated a new kind of spinor space
by pointing out the how exceptional were the dimensions 2, 8 and 24 (at least as they
pertain to lattice theory). This other triple of numbers (30, 36, 52) has intrigued me since
I first started playing with the idea of breaking the sequence (1,2,...,24) into
three octets, such that the sum of the squares of each octet is also a perfect square.
Interestingly:
30 = 28 + 2;
36 = 28 + 8;
52 = 28 + 24.
The chances that you have got this far in this most obscure of my pages are remote.
The chances that if you have these sums might spark some thoughts that give this
coincidence meaning are even remoter ... vanishingly remote, in fact.
It's the kind of coincidence that makes me go, "What the ...?", but from which
I find it nearly impossible to divert my gaze.

An alternative:
30 = 26 + 4;
36 = 26 + 10;
52 = 26 + 26.
Magic square, anyone?
(2007.12.04: More anon.)

Regarding the numbers 72, 90, 138 looked at above.
72  = 3*24
90  = 3*30
138 = 3*46
(24 ± 6)2 + (30 ± 6)2 + (46 ± 6)2 = (60 ± 10)2 = (24 + 30 + 46)(6 ± 1)2
Yeh, well, cool ... I think. I mean, how can that not be cool?
(2010.01.07: More anon.)