ABC139 D - ModSum
問題
コード
結果
メモ
全探索は明らかに間に合わない
仮説「要素を1つずらしたら最大値になる」
要素の先頭をpopして、末尾にpush
ページ下部に検証を示す
要素を1つずらした配列をfor文で回して、i % Pi を足し合わせたらTLEが発生した
解説を見て納得した。足し合わせる必要はなく、数学的に導出できる(計算量 $ O(1) )
仮説検証で*をつけた行に着目する
code:N=2
(2, 1) 1 0 = 1 *
code:N=3
(1, 3, 2) 0 2 1 = 3 *
(2, 3, 1) 1 2 0 = 3 *
code:N=4
(2, 3, 4, 1) 1 2 3 0 = 6 *
code:N=5
(1, 3, 4, 5, 2) 0 2 3 4 1 = 10 *
(2, 1, 4, 5, 3) 1 0 3 4 2 = 10 *
(2, 3, 4, 5, 1) 1 2 3 4 0 = 10 *
code:N=6
(2, 3, 4, 5, 6, 1) 1 2 3 4 5 0 = 15 *
$ 1, 2, 3, ..., N-1を足し合わせればOK
つまり$ \frac{N(N-1)}{2}
検証
code:N=2
(1, 2) 0 0 = 0
(2, 1) 1 0 = 1 *
code:N=3
(1, 2, 3) 0 0 0 = 0
(1, 3, 2) 0 2 1 = 3 *
(2, 1, 3) 1 0 0 = 1
(2, 3, 1) 1 2 0 = 3 *
(3, 1, 2) 1 0 1 = 2
(3, 2, 1) 1 0 0 = 1
code:N=4
(1, 2, 3, 4) 0 0 0 0 = 0
(1, 2, 4, 3) 0 0 3 1 = 4
(1, 3, 2, 4) 0 2 1 0 = 3
(1, 3, 4, 2) 0 2 3 0 = 5
(1, 4, 2, 3) 0 2 1 1 = 4
(1, 4, 3, 2) 0 2 0 0 = 2
(2, 1, 3, 4) 1 0 0 0 = 1
(2, 1, 4, 3) 1 0 3 1 = 5
(2, 3, 1, 4) 1 2 0 0 = 3
(2, 3, 4, 1) 1 2 3 0 = 6 *
(2, 4, 1, 3) 1 2 0 1 = 4
(2, 4, 3, 1) 1 2 0 0 = 3
(3, 1, 2, 4) 1 0 1 0 = 2
(3, 1, 4, 2) 1 0 3 0 = 4
(3, 2, 1, 4) 1 0 0 0 = 1
(3, 2, 4, 1) 1 0 3 0 = 4
(3, 4, 1, 2) 1 2 0 0 = 3
(3, 4, 2, 1) 1 2 1 0 = 4
(4, 1, 2, 3) 1 0 1 1 = 3
(4, 1, 3, 2) 1 0 0 0 = 1
(4, 2, 1, 3) 1 0 0 1 = 2
(4, 2, 3, 1) 1 0 0 0 = 1
(4, 3, 1, 2) 1 2 0 0 = 3
(4, 3, 2, 1) 1 2 1 0 = 4
code:N=5
(1, 2, 3, 4, 5) 0 0 0 0 0 = 0
(1, 2, 3, 5, 4) 0 0 0 4 1 = 5
(1, 2, 4, 3, 5) 0 0 3 1 0 = 4
(1, 2, 4, 5, 3) 0 0 3 4 2 = 9
(1, 2, 5, 3, 4) 0 0 3 1 1 = 5
(1, 2, 5, 4, 3) 0 0 3 0 2 = 5
(1, 3, 2, 4, 5) 0 2 1 0 0 = 3
(1, 3, 2, 5, 4) 0 2 1 4 1 = 8
(1, 3, 4, 2, 5) 0 2 3 0 0 = 5
(1, 3, 4, 5, 2) 0 2 3 4 1 = 10 *
(1, 3, 5, 2, 4) 0 2 3 0 1 = 6
(1, 3, 5, 4, 2) 0 2 3 0 1 = 6
(1, 4, 2, 3, 5) 0 2 1 1 0 = 4
(1, 4, 2, 5, 3) 0 2 1 4 2 = 9
(1, 4, 3, 2, 5) 0 2 0 0 0 = 2
(1, 4, 3, 5, 2) 0 2 0 4 1 = 7
(1, 4, 5, 2, 3) 0 2 3 0 2 = 7
(1, 4, 5, 3, 2) 0 2 3 1 1 = 7
(1, 5, 2, 3, 4) 0 2 1 1 1 = 5
(1, 5, 2, 4, 3) 0 2 1 0 2 = 5
(1, 5, 3, 2, 4) 0 2 0 0 1 = 3
(1, 5, 3, 4, 2) 0 2 0 0 1 = 3
(1, 5, 4, 2, 3) 0 2 3 0 2 = 7
(1, 5, 4, 3, 2) 0 2 3 1 1 = 7
(2, 1, 3, 4, 5) 1 0 0 0 0 = 1
(2, 1, 3, 5, 4) 1 0 0 4 1 = 6
(2, 1, 4, 3, 5) 1 0 3 1 0 = 5
(2, 1, 4, 5, 3) 1 0 3 4 2 = 10 *
(2, 1, 5, 3, 4) 1 0 3 1 1 = 6
(2, 1, 5, 4, 3) 1 0 3 0 2 = 6
(2, 3, 1, 4, 5) 1 2 0 0 0 = 3
(2, 3, 1, 5, 4) 1 2 0 4 1 = 8
(2, 3, 4, 1, 5) 1 2 3 0 0 = 6
(2, 3, 4, 5, 1) 1 2 3 4 0 = 10 *
(2, 3, 5, 1, 4) 1 2 3 0 1 = 7
(2, 3, 5, 4, 1) 1 2 3 0 0 = 6
(2, 4, 1, 3, 5) 1 2 0 1 0 = 4
(2, 4, 1, 5, 3) 1 2 0 4 2 = 9
(2, 4, 3, 1, 5) 1 2 0 0 0 = 3
(2, 4, 3, 5, 1) 1 2 0 4 0 = 7
(2, 4, 5, 1, 3) 1 2 3 0 2 = 8
(2, 4, 5, 3, 1) 1 2 3 1 0 = 7
(2, 5, 1, 3, 4) 1 2 0 1 1 = 5
(2, 5, 1, 4, 3) 1 2 0 0 2 = 5
(2, 5, 3, 1, 4) 1 2 0 0 1 = 4
(2, 5, 3, 4, 1) 1 2 0 0 0 = 3
(2, 5, 4, 1, 3) 1 2 3 0 2 = 8
(2, 5, 4, 3, 1) 1 2 3 1 0 = 7
(3, 1, 2, 4, 5) 1 0 1 0 0 = 2
(3, 1, 2, 5, 4) 1 0 1 4 1 = 7
(3, 1, 4, 2, 5) 1 0 3 0 0 = 4
(3, 1, 4, 5, 2) 1 0 3 4 1 = 9
(3, 1, 5, 2, 4) 1 0 3 0 1 = 5
(3, 1, 5, 4, 2) 1 0 3 0 1 = 5
(3, 2, 1, 4, 5) 1 0 0 0 0 = 1
(3, 2, 1, 5, 4) 1 0 0 4 1 = 6
(3, 2, 4, 1, 5) 1 0 3 0 0 = 4
(3, 2, 4, 5, 1) 1 0 3 4 0 = 8
(3, 2, 5, 1, 4) 1 0 3 0 1 = 5
(3, 2, 5, 4, 1) 1 0 3 0 0 = 4
(3, 4, 1, 2, 5) 1 2 0 0 0 = 3
(3, 4, 1, 5, 2) 1 2 0 4 1 = 8
(3, 4, 2, 1, 5) 1 2 1 0 0 = 4
(3, 4, 2, 5, 1) 1 2 1 4 0 = 8
(3, 4, 5, 1, 2) 1 2 3 0 1 = 7
(3, 4, 5, 2, 1) 1 2 3 0 0 = 6
(3, 5, 1, 2, 4) 1 2 0 0 1 = 4
(3, 5, 1, 4, 2) 1 2 0 0 1 = 4
(3, 5, 2, 1, 4) 1 2 1 0 1 = 5
(3, 5, 2, 4, 1) 1 2 1 0 0 = 4
(3, 5, 4, 1, 2) 1 2 3 0 1 = 7
(3, 5, 4, 2, 1) 1 2 3 0 0 = 6
(4, 1, 2, 3, 5) 1 0 1 1 0 = 3
(4, 1, 2, 5, 3) 1 0 1 4 2 = 8
(4, 1, 3, 2, 5) 1 0 0 0 0 = 1
(4, 1, 3, 5, 2) 1 0 0 4 1 = 6
(4, 1, 5, 2, 3) 1 0 3 0 2 = 6
(4, 1, 5, 3, 2) 1 0 3 1 1 = 6
(4, 2, 1, 3, 5) 1 0 0 1 0 = 2
(4, 2, 1, 5, 3) 1 0 0 4 2 = 7
(4, 2, 3, 1, 5) 1 0 0 0 0 = 1
(4, 2, 3, 5, 1) 1 0 0 4 0 = 5
(4, 2, 5, 1, 3) 1 0 3 0 2 = 6
(4, 2, 5, 3, 1) 1 0 3 1 0 = 5
(4, 3, 1, 2, 5) 1 2 0 0 0 = 3
(4, 3, 1, 5, 2) 1 2 0 4 1 = 8
(4, 3, 2, 1, 5) 1 2 1 0 0 = 4
(4, 3, 2, 5, 1) 1 2 1 4 0 = 8
(4, 3, 5, 1, 2) 1 2 3 0 1 = 7
(4, 3, 5, 2, 1) 1 2 3 0 0 = 6
(4, 5, 1, 2, 3) 1 2 0 0 2 = 5
(4, 5, 1, 3, 2) 1 2 0 1 1 = 5
(4, 5, 2, 1, 3) 1 2 1 0 2 = 6
(4, 5, 2, 3, 1) 1 2 1 1 0 = 5
(4, 5, 3, 1, 2) 1 2 0 0 1 = 4
(4, 5, 3, 2, 1) 1 2 0 0 0 = 3
(5, 1, 2, 3, 4) 1 0 1 1 1 = 4
(5, 1, 2, 4, 3) 1 0 1 0 2 = 4
(5, 1, 3, 2, 4) 1 0 0 0 1 = 2
(5, 1, 3, 4, 2) 1 0 0 0 1 = 2
(5, 1, 4, 2, 3) 1 0 3 0 2 = 6
(5, 1, 4, 3, 2) 1 0 3 1 1 = 6
(5, 2, 1, 3, 4) 1 0 0 1 1 = 3
(5, 2, 1, 4, 3) 1 0 0 0 2 = 3
(5, 2, 3, 1, 4) 1 0 0 0 1 = 2
(5, 2, 3, 4, 1) 1 0 0 0 0 = 1
(5, 2, 4, 1, 3) 1 0 3 0 2 = 6
(5, 2, 4, 3, 1) 1 0 3 1 0 = 5
(5, 3, 1, 2, 4) 1 2 0 0 1 = 4
(5, 3, 1, 4, 2) 1 2 0 0 1 = 4
(5, 3, 2, 1, 4) 1 2 1 0 1 = 5
(5, 3, 2, 4, 1) 1 2 1 0 0 = 4
(5, 3, 4, 1, 2) 1 2 3 0 1 = 7
(5, 3, 4, 2, 1) 1 2 3 0 0 = 6
(5, 4, 1, 2, 3) 1 2 0 0 2 = 5
(5, 4, 1, 3, 2) 1 2 0 1 1 = 5
(5, 4, 2, 1, 3) 1 2 1 0 2 = 6
(5, 4, 2, 3, 1) 1 2 1 1 0 = 5
(5, 4, 3, 1, 2) 1 2 0 0 1 = 4
(5, 4, 3, 2, 1) 1 2 0 0 0 = 3
code:N=6
(1, 2, 3, 4, 5, 6) 0 0 0 0 0 0 = 0
(1, 2, 3, 4, 6, 5) 0 0 0 0 5 1 = 6
(1, 2, 3, 5, 4, 6) 0 0 0 4 1 0 = 5
(1, 2, 3, 5, 6, 4) 0 0 0 4 5 2 = 11
(1, 2, 3, 6, 4, 5) 0 0 0 4 1 1 = 6
(1, 2, 3, 6, 5, 4) 0 0 0 4 0 2 = 6
(1, 2, 4, 3, 5, 6) 0 0 3 1 0 0 = 4
(1, 2, 4, 3, 6, 5) 0 0 3 1 5 1 = 10
(1, 2, 4, 5, 3, 6) 0 0 3 4 2 0 = 9
(1, 2, 4, 5, 6, 3) 0 0 3 4 5 0 = 12
(1, 2, 4, 6, 3, 5) 0 0 3 4 2 1 = 10
(1, 2, 4, 6, 5, 3) 0 0 3 4 0 0 = 7
(1, 2, 5, 3, 4, 6) 0 0 3 1 1 0 = 5
(1, 2, 5, 3, 6, 4) 0 0 3 1 5 2 = 11
(1, 2, 5, 4, 3, 6) 0 0 3 0 2 0 = 5
(1, 2, 5, 4, 6, 3) 0 0 3 0 5 0 = 8
(1, 2, 5, 6, 3, 4) 0 0 3 4 2 2 = 11
(1, 2, 5, 6, 4, 3) 0 0 3 4 1 0 = 8
(1, 2, 6, 3, 4, 5) 0 0 3 1 1 1 = 6
(1, 2, 6, 3, 5, 4) 0 0 3 1 0 2 = 6
(1, 2, 6, 4, 3, 5) 0 0 3 0 2 1 = 6
(1, 2, 6, 4, 5, 3) 0 0 3 0 0 0 = 3
(1, 2, 6, 5, 3, 4) 0 0 3 4 2 2 = 11
(1, 2, 6, 5, 4, 3) 0 0 3 4 1 0 = 8
(1, 3, 2, 4, 5, 6) 0 2 1 0 0 0 = 3
(1, 3, 2, 4, 6, 5) 0 2 1 0 5 1 = 9
(1, 3, 2, 5, 4, 6) 0 2 1 4 1 0 = 8
(1, 3, 2, 5, 6, 4) 0 2 1 4 5 2 = 14
(1, 3, 2, 6, 4, 5) 0 2 1 4 1 1 = 9
(1, 3, 2, 6, 5, 4) 0 2 1 4 0 2 = 9
(1, 3, 4, 2, 5, 6) 0 2 3 0 0 0 = 5
(1, 3, 4, 2, 6, 5) 0 2 3 0 5 1 = 11
(1, 3, 4, 5, 2, 6) 0 2 3 4 1 0 = 10
(1, 3, 4, 5, 6, 2) 0 2 3 4 5 0 = 14
(1, 3, 4, 6, 2, 5) 0 2 3 4 1 1 = 11
(1, 3, 4, 6, 5, 2) 0 2 3 4 0 0 = 9
(1, 3, 5, 2, 4, 6) 0 2 3 0 1 0 = 6
(1, 3, 5, 2, 6, 4) 0 2 3 0 5 2 = 12
(1, 3, 5, 4, 2, 6) 0 2 3 0 1 0 = 6
(1, 3, 5, 4, 6, 2) 0 2 3 0 5 0 = 10
(1, 3, 5, 6, 2, 4) 0 2 3 4 1 2 = 12
(1, 3, 5, 6, 4, 2) 0 2 3 4 1 0 = 10
(1, 3, 6, 2, 4, 5) 0 2 3 0 1 1 = 7
(1, 3, 6, 2, 5, 4) 0 2 3 0 0 2 = 7
(1, 3, 6, 4, 2, 5) 0 2 3 0 1 1 = 7
(1, 3, 6, 4, 5, 2) 0 2 3 0 0 0 = 5
(1, 3, 6, 5, 2, 4) 0 2 3 4 1 2 = 12
(1, 3, 6, 5, 4, 2) 0 2 3 4 1 0 = 10
(1, 4, 2, 3, 5, 6) 0 2 1 1 0 0 = 4
(1, 4, 2, 3, 6, 5) 0 2 1 1 5 1 = 10
(1, 4, 2, 5, 3, 6) 0 2 1 4 2 0 = 9
(1, 4, 2, 5, 6, 3) 0 2 1 4 5 0 = 12
(1, 4, 2, 6, 3, 5) 0 2 1 4 2 1 = 10
(1, 4, 2, 6, 5, 3) 0 2 1 4 0 0 = 7
(1, 4, 3, 2, 5, 6) 0 2 0 0 0 0 = 2
(1, 4, 3, 2, 6, 5) 0 2 0 0 5 1 = 8
(1, 4, 3, 5, 2, 6) 0 2 0 4 1 0 = 7
(1, 4, 3, 5, 6, 2) 0 2 0 4 5 0 = 11
(1, 4, 3, 6, 2, 5) 0 2 0 4 1 1 = 8
(1, 4, 3, 6, 5, 2) 0 2 0 4 0 0 = 6
(1, 4, 5, 2, 3, 6) 0 2 3 0 2 0 = 7
(1, 4, 5, 2, 6, 3) 0 2 3 0 5 0 = 10
(1, 4, 5, 3, 2, 6) 0 2 3 1 1 0 = 7
(1, 4, 5, 3, 6, 2) 0 2 3 1 5 0 = 11
(1, 4, 5, 6, 2, 3) 0 2 3 4 1 0 = 10
(1, 4, 5, 6, 3, 2) 0 2 3 4 2 0 = 11
(1, 4, 6, 2, 3, 5) 0 2 3 0 2 1 = 8
(1, 4, 6, 2, 5, 3) 0 2 3 0 0 0 = 5
(1, 4, 6, 3, 2, 5) 0 2 3 1 1 1 = 8
(1, 4, 6, 3, 5, 2) 0 2 3 1 0 0 = 6
(1, 4, 6, 5, 2, 3) 0 2 3 4 1 0 = 10
(1, 4, 6, 5, 3, 2) 0 2 3 4 2 0 = 11
(1, 5, 2, 3, 4, 6) 0 2 1 1 1 0 = 5
(1, 5, 2, 3, 6, 4) 0 2 1 1 5 2 = 11
(1, 5, 2, 4, 3, 6) 0 2 1 0 2 0 = 5
(1, 5, 2, 4, 6, 3) 0 2 1 0 5 0 = 8
(1, 5, 2, 6, 3, 4) 0 2 1 4 2 2 = 11
(1, 5, 2, 6, 4, 3) 0 2 1 4 1 0 = 8
(1, 5, 3, 2, 4, 6) 0 2 0 0 1 0 = 3
(1, 5, 3, 2, 6, 4) 0 2 0 0 5 2 = 9
(1, 5, 3, 4, 2, 6) 0 2 0 0 1 0 = 3
(1, 5, 3, 4, 6, 2) 0 2 0 0 5 0 = 7
(1, 5, 3, 6, 2, 4) 0 2 0 4 1 2 = 9
(1, 5, 3, 6, 4, 2) 0 2 0 4 1 0 = 7
(1, 5, 4, 2, 3, 6) 0 2 3 0 2 0 = 7
(1, 5, 4, 2, 6, 3) 0 2 3 0 5 0 = 10
(1, 5, 4, 3, 2, 6) 0 2 3 1 1 0 = 7
(1, 5, 4, 3, 6, 2) 0 2 3 1 5 0 = 11
(1, 5, 4, 6, 2, 3) 0 2 3 4 1 0 = 10
(1, 5, 4, 6, 3, 2) 0 2 3 4 2 0 = 11
(1, 5, 6, 2, 3, 4) 0 2 3 0 2 2 = 9
(1, 5, 6, 2, 4, 3) 0 2 3 0 1 0 = 6
(1, 5, 6, 3, 2, 4) 0 2 3 1 1 2 = 9
(1, 5, 6, 3, 4, 2) 0 2 3 1 1 0 = 7
(1, 5, 6, 4, 2, 3) 0 2 3 0 1 0 = 6
(1, 5, 6, 4, 3, 2) 0 2 3 0 2 0 = 7
(1, 6, 2, 3, 4, 5) 0 2 1 1 1 1 = 6
(1, 6, 2, 3, 5, 4) 0 2 1 1 0 2 = 6
(1, 6, 2, 4, 3, 5) 0 2 1 0 2 1 = 6
(1, 6, 2, 4, 5, 3) 0 2 1 0 0 0 = 3
(1, 6, 2, 5, 3, 4) 0 2 1 4 2 2 = 11
(1, 6, 2, 5, 4, 3) 0 2 1 4 1 0 = 8
(1, 6, 3, 2, 4, 5) 0 2 0 0 1 1 = 4
(1, 6, 3, 2, 5, 4) 0 2 0 0 0 2 = 4
(1, 6, 3, 4, 2, 5) 0 2 0 0 1 1 = 4
(1, 6, 3, 4, 5, 2) 0 2 0 0 0 0 = 2
(1, 6, 3, 5, 2, 4) 0 2 0 4 1 2 = 9
(1, 6, 3, 5, 4, 2) 0 2 0 4 1 0 = 7
(1, 6, 4, 2, 3, 5) 0 2 3 0 2 1 = 8
(1, 6, 4, 2, 5, 3) 0 2 3 0 0 0 = 5
(1, 6, 4, 3, 2, 5) 0 2 3 1 1 1 = 8
(1, 6, 4, 3, 5, 2) 0 2 3 1 0 0 = 6
(1, 6, 4, 5, 2, 3) 0 2 3 4 1 0 = 10
(1, 6, 4, 5, 3, 2) 0 2 3 4 2 0 = 11
(1, 6, 5, 2, 3, 4) 0 2 3 0 2 2 = 9
(1, 6, 5, 2, 4, 3) 0 2 3 0 1 0 = 6
(1, 6, 5, 3, 2, 4) 0 2 3 1 1 2 = 9
(1, 6, 5, 3, 4, 2) 0 2 3 1 1 0 = 7
(1, 6, 5, 4, 2, 3) 0 2 3 0 1 0 = 6
(1, 6, 5, 4, 3, 2) 0 2 3 0 2 0 = 7
(2, 1, 3, 4, 5, 6) 1 0 0 0 0 0 = 1
(2, 1, 3, 4, 6, 5) 1 0 0 0 5 1 = 7
(2, 1, 3, 5, 4, 6) 1 0 0 4 1 0 = 6
(2, 1, 3, 5, 6, 4) 1 0 0 4 5 2 = 12
(2, 1, 3, 6, 4, 5) 1 0 0 4 1 1 = 7
(2, 1, 3, 6, 5, 4) 1 0 0 4 0 2 = 7
(2, 1, 4, 3, 5, 6) 1 0 3 1 0 0 = 5
(2, 1, 4, 3, 6, 5) 1 0 3 1 5 1 = 11
(2, 1, 4, 5, 3, 6) 1 0 3 4 2 0 = 10
(2, 1, 4, 5, 6, 3) 1 0 3 4 5 0 = 13
(2, 1, 4, 6, 3, 5) 1 0 3 4 2 1 = 11
(2, 1, 4, 6, 5, 3) 1 0 3 4 0 0 = 8
(2, 1, 5, 3, 4, 6) 1 0 3 1 1 0 = 6
(2, 1, 5, 3, 6, 4) 1 0 3 1 5 2 = 12
(2, 1, 5, 4, 3, 6) 1 0 3 0 2 0 = 6
(2, 1, 5, 4, 6, 3) 1 0 3 0 5 0 = 9
(2, 1, 5, 6, 3, 4) 1 0 3 4 2 2 = 12
(2, 1, 5, 6, 4, 3) 1 0 3 4 1 0 = 9
(2, 1, 6, 3, 4, 5) 1 0 3 1 1 1 = 7
(2, 1, 6, 3, 5, 4) 1 0 3 1 0 2 = 7
(2, 1, 6, 4, 3, 5) 1 0 3 0 2 1 = 7
(2, 1, 6, 4, 5, 3) 1 0 3 0 0 0 = 4
(2, 1, 6, 5, 3, 4) 1 0 3 4 2 2 = 12
(2, 1, 6, 5, 4, 3) 1 0 3 4 1 0 = 9
(2, 3, 1, 4, 5, 6) 1 2 0 0 0 0 = 3
(2, 3, 1, 4, 6, 5) 1 2 0 0 5 1 = 9
(2, 3, 1, 5, 4, 6) 1 2 0 4 1 0 = 8
(2, 3, 1, 5, 6, 4) 1 2 0 4 5 2 = 14
(2, 3, 1, 6, 4, 5) 1 2 0 4 1 1 = 9
(2, 3, 1, 6, 5, 4) 1 2 0 4 0 2 = 9
(2, 3, 4, 1, 5, 6) 1 2 3 0 0 0 = 6
(2, 3, 4, 1, 6, 5) 1 2 3 0 5 1 = 12
(2, 3, 4, 5, 1, 6) 1 2 3 4 0 0 = 10
(2, 3, 4, 5, 6, 1) 1 2 3 4 5 0 = 15 *
(2, 3, 4, 6, 1, 5) 1 2 3 4 0 1 = 11
(2, 3, 4, 6, 5, 1) 1 2 3 4 0 0 = 10
(2, 3, 5, 1, 4, 6) 1 2 3 0 1 0 = 7
(2, 3, 5, 1, 6, 4) 1 2 3 0 5 2 = 13
(2, 3, 5, 4, 1, 6) 1 2 3 0 0 0 = 6
(2, 3, 5, 4, 6, 1) 1 2 3 0 5 0 = 11
(2, 3, 5, 6, 1, 4) 1 2 3 4 0 2 = 12
(2, 3, 5, 6, 4, 1) 1 2 3 4 1 0 = 11
(2, 3, 6, 1, 4, 5) 1 2 3 0 1 1 = 8
(2, 3, 6, 1, 5, 4) 1 2 3 0 0 2 = 8
(2, 3, 6, 4, 1, 5) 1 2 3 0 0 1 = 7
(2, 3, 6, 4, 5, 1) 1 2 3 0 0 0 = 6
(2, 3, 6, 5, 1, 4) 1 2 3 4 0 2 = 12
(2, 3, 6, 5, 4, 1) 1 2 3 4 1 0 = 11
(2, 4, 1, 3, 5, 6) 1 2 0 1 0 0 = 4
(2, 4, 1, 3, 6, 5) 1 2 0 1 5 1 = 10
(2, 4, 1, 5, 3, 6) 1 2 0 4 2 0 = 9
(2, 4, 1, 5, 6, 3) 1 2 0 4 5 0 = 12
(2, 4, 1, 6, 3, 5) 1 2 0 4 2 1 = 10
(2, 4, 1, 6, 5, 3) 1 2 0 4 0 0 = 7
(2, 4, 3, 1, 5, 6) 1 2 0 0 0 0 = 3
(2, 4, 3, 1, 6, 5) 1 2 0 0 5 1 = 9
(2, 4, 3, 5, 1, 6) 1 2 0 4 0 0 = 7
(2, 4, 3, 5, 6, 1) 1 2 0 4 5 0 = 12
(2, 4, 3, 6, 1, 5) 1 2 0 4 0 1 = 8
(2, 4, 3, 6, 5, 1) 1 2 0 4 0 0 = 7
(2, 4, 5, 1, 3, 6) 1 2 3 0 2 0 = 8
(2, 4, 5, 1, 6, 3) 1 2 3 0 5 0 = 11
(2, 4, 5, 3, 1, 6) 1 2 3 1 0 0 = 7
(2, 4, 5, 3, 6, 1) 1 2 3 1 5 0 = 12
(2, 4, 5, 6, 1, 3) 1 2 3 4 0 0 = 10
(2, 4, 5, 6, 3, 1) 1 2 3 4 2 0 = 12
(2, 4, 6, 1, 3, 5) 1 2 3 0 2 1 = 9
(2, 4, 6, 1, 5, 3) 1 2 3 0 0 0 = 6
(2, 4, 6, 3, 1, 5) 1 2 3 1 0 1 = 8
(2, 4, 6, 3, 5, 1) 1 2 3 1 0 0 = 7
(2, 4, 6, 5, 1, 3) 1 2 3 4 0 0 = 10
(2, 4, 6, 5, 3, 1) 1 2 3 4 2 0 = 12
(2, 5, 1, 3, 4, 6) 1 2 0 1 1 0 = 5
(2, 5, 1, 3, 6, 4) 1 2 0 1 5 2 = 11
(2, 5, 1, 4, 3, 6) 1 2 0 0 2 0 = 5
(2, 5, 1, 4, 6, 3) 1 2 0 0 5 0 = 8
(2, 5, 1, 6, 3, 4) 1 2 0 4 2 2 = 11
(2, 5, 1, 6, 4, 3) 1 2 0 4 1 0 = 8
(2, 5, 3, 1, 4, 6) 1 2 0 0 1 0 = 4
(2, 5, 3, 1, 6, 4) 1 2 0 0 5 2 = 10
(2, 5, 3, 4, 1, 6) 1 2 0 0 0 0 = 3
(2, 5, 3, 4, 6, 1) 1 2 0 0 5 0 = 8
(2, 5, 3, 6, 1, 4) 1 2 0 4 0 2 = 9
(2, 5, 3, 6, 4, 1) 1 2 0 4 1 0 = 8
(2, 5, 4, 1, 3, 6) 1 2 3 0 2 0 = 8
(2, 5, 4, 1, 6, 3) 1 2 3 0 5 0 = 11
(2, 5, 4, 3, 1, 6) 1 2 3 1 0 0 = 7
(2, 5, 4, 3, 6, 1) 1 2 3 1 5 0 = 12
(2, 5, 4, 6, 1, 3) 1 2 3 4 0 0 = 10
(2, 5, 4, 6, 3, 1) 1 2 3 4 2 0 = 12
(2, 5, 6, 1, 3, 4) 1 2 3 0 2 2 = 10
(2, 5, 6, 1, 4, 3) 1 2 3 0 1 0 = 7
(2, 5, 6, 3, 1, 4) 1 2 3 1 0 2 = 9
(2, 5, 6, 3, 4, 1) 1 2 3 1 1 0 = 8
(2, 5, 6, 4, 1, 3) 1 2 3 0 0 0 = 6
(2, 5, 6, 4, 3, 1) 1 2 3 0 2 0 = 8
(2, 6, 1, 3, 4, 5) 1 2 0 1 1 1 = 6
(2, 6, 1, 3, 5, 4) 1 2 0 1 0 2 = 6
(2, 6, 1, 4, 3, 5) 1 2 0 0 2 1 = 6
(2, 6, 1, 4, 5, 3) 1 2 0 0 0 0 = 3
(2, 6, 1, 5, 3, 4) 1 2 0 4 2 2 = 11
(2, 6, 1, 5, 4, 3) 1 2 0 4 1 0 = 8
(2, 6, 3, 1, 4, 5) 1 2 0 0 1 1 = 5
(2, 6, 3, 1, 5, 4) 1 2 0 0 0 2 = 5
(2, 6, 3, 4, 1, 5) 1 2 0 0 0 1 = 4
(2, 6, 3, 4, 5, 1) 1 2 0 0 0 0 = 3
(2, 6, 3, 5, 1, 4) 1 2 0 4 0 2 = 9
(2, 6, 3, 5, 4, 1) 1 2 0 4 1 0 = 8
(2, 6, 4, 1, 3, 5) 1 2 3 0 2 1 = 9
(2, 6, 4, 1, 5, 3) 1 2 3 0 0 0 = 6
(2, 6, 4, 3, 1, 5) 1 2 3 1 0 1 = 8
(2, 6, 4, 3, 5, 1) 1 2 3 1 0 0 = 7
(2, 6, 4, 5, 1, 3) 1 2 3 4 0 0 = 10
(2, 6, 4, 5, 3, 1) 1 2 3 4 2 0 = 12
(2, 6, 5, 1, 3, 4) 1 2 3 0 2 2 = 10
(2, 6, 5, 1, 4, 3) 1 2 3 0 1 0 = 7
(2, 6, 5, 3, 1, 4) 1 2 3 1 0 2 = 9
(2, 6, 5, 3, 4, 1) 1 2 3 1 1 0 = 8
(2, 6, 5, 4, 1, 3) 1 2 3 0 0 0 = 6
(2, 6, 5, 4, 3, 1) 1 2 3 0 2 0 = 8
(3, 1, 2, 4, 5, 6) 1 0 1 0 0 0 = 2
(3, 1, 2, 4, 6, 5) 1 0 1 0 5 1 = 8
(3, 1, 2, 5, 4, 6) 1 0 1 4 1 0 = 7
(3, 1, 2, 5, 6, 4) 1 0 1 4 5 2 = 13
(3, 1, 2, 6, 4, 5) 1 0 1 4 1 1 = 8
(3, 1, 2, 6, 5, 4) 1 0 1 4 0 2 = 8
(3, 1, 4, 2, 5, 6) 1 0 3 0 0 0 = 4
(3, 1, 4, 2, 6, 5) 1 0 3 0 5 1 = 10
(3, 1, 4, 5, 2, 6) 1 0 3 4 1 0 = 9
(3, 1, 4, 5, 6, 2) 1 0 3 4 5 0 = 13
(3, 1, 4, 6, 2, 5) 1 0 3 4 1 1 = 10
(3, 1, 4, 6, 5, 2) 1 0 3 4 0 0 = 8
(3, 1, 5, 2, 4, 6) 1 0 3 0 1 0 = 5
(3, 1, 5, 2, 6, 4) 1 0 3 0 5 2 = 11
(3, 1, 5, 4, 2, 6) 1 0 3 0 1 0 = 5
(3, 1, 5, 4, 6, 2) 1 0 3 0 5 0 = 9
(3, 1, 5, 6, 2, 4) 1 0 3 4 1 2 = 11
(3, 1, 5, 6, 4, 2) 1 0 3 4 1 0 = 9
(3, 1, 6, 2, 4, 5) 1 0 3 0 1 1 = 6
(3, 1, 6, 2, 5, 4) 1 0 3 0 0 2 = 6
(3, 1, 6, 4, 2, 5) 1 0 3 0 1 1 = 6
(3, 1, 6, 4, 5, 2) 1 0 3 0 0 0 = 4
(3, 1, 6, 5, 2, 4) 1 0 3 4 1 2 = 11
(3, 1, 6, 5, 4, 2) 1 0 3 4 1 0 = 9
(3, 2, 1, 4, 5, 6) 1 0 0 0 0 0 = 1
(3, 2, 1, 4, 6, 5) 1 0 0 0 5 1 = 7
(3, 2, 1, 5, 4, 6) 1 0 0 4 1 0 = 6
(3, 2, 1, 5, 6, 4) 1 0 0 4 5 2 = 12
(3, 2, 1, 6, 4, 5) 1 0 0 4 1 1 = 7
(3, 2, 1, 6, 5, 4) 1 0 0 4 0 2 = 7
(3, 2, 4, 1, 5, 6) 1 0 3 0 0 0 = 4
(3, 2, 4, 1, 6, 5) 1 0 3 0 5 1 = 10
(3, 2, 4, 5, 1, 6) 1 0 3 4 0 0 = 8
(3, 2, 4, 5, 6, 1) 1 0 3 4 5 0 = 13
(3, 2, 4, 6, 1, 5) 1 0 3 4 0 1 = 9
(3, 2, 4, 6, 5, 1) 1 0 3 4 0 0 = 8
(3, 2, 5, 1, 4, 6) 1 0 3 0 1 0 = 5
(3, 2, 5, 1, 6, 4) 1 0 3 0 5 2 = 11
(3, 2, 5, 4, 1, 6) 1 0 3 0 0 0 = 4
(3, 2, 5, 4, 6, 1) 1 0 3 0 5 0 = 9
(3, 2, 5, 6, 1, 4) 1 0 3 4 0 2 = 10
(3, 2, 5, 6, 4, 1) 1 0 3 4 1 0 = 9
(3, 2, 6, 1, 4, 5) 1 0 3 0 1 1 = 6
(3, 2, 6, 1, 5, 4) 1 0 3 0 0 2 = 6
(3, 2, 6, 4, 1, 5) 1 0 3 0 0 1 = 5
(3, 2, 6, 4, 5, 1) 1 0 3 0 0 0 = 4
(3, 2, 6, 5, 1, 4) 1 0 3 4 0 2 = 10
(3, 2, 6, 5, 4, 1) 1 0 3 4 1 0 = 9
(3, 4, 1, 2, 5, 6) 1 2 0 0 0 0 = 3
(3, 4, 1, 2, 6, 5) 1 2 0 0 5 1 = 9
(3, 4, 1, 5, 2, 6) 1 2 0 4 1 0 = 8
(3, 4, 1, 5, 6, 2) 1 2 0 4 5 0 = 12
(3, 4, 1, 6, 2, 5) 1 2 0 4 1 1 = 9
(3, 4, 1, 6, 5, 2) 1 2 0 4 0 0 = 7
(3, 4, 2, 1, 5, 6) 1 2 1 0 0 0 = 4
(3, 4, 2, 1, 6, 5) 1 2 1 0 5 1 = 10
(3, 4, 2, 5, 1, 6) 1 2 1 4 0 0 = 8
(3, 4, 2, 5, 6, 1) 1 2 1 4 5 0 = 13
(3, 4, 2, 6, 1, 5) 1 2 1 4 0 1 = 9
(3, 4, 2, 6, 5, 1) 1 2 1 4 0 0 = 8
(3, 4, 5, 1, 2, 6) 1 2 3 0 1 0 = 7
(3, 4, 5, 1, 6, 2) 1 2 3 0 5 0 = 11
(3, 4, 5, 2, 1, 6) 1 2 3 0 0 0 = 6
(3, 4, 5, 2, 6, 1) 1 2 3 0 5 0 = 11
(3, 4, 5, 6, 1, 2) 1 2 3 4 0 0 = 10
(3, 4, 5, 6, 2, 1) 1 2 3 4 1 0 = 11
(3, 4, 6, 1, 2, 5) 1 2 3 0 1 1 = 8
(3, 4, 6, 1, 5, 2) 1 2 3 0 0 0 = 6
(3, 4, 6, 2, 1, 5) 1 2 3 0 0 1 = 7
(3, 4, 6, 2, 5, 1) 1 2 3 0 0 0 = 6
(3, 4, 6, 5, 1, 2) 1 2 3 4 0 0 = 10
(3, 4, 6, 5, 2, 1) 1 2 3 4 1 0 = 11
(3, 5, 1, 2, 4, 6) 1 2 0 0 1 0 = 4
(3, 5, 1, 2, 6, 4) 1 2 0 0 5 2 = 10
(3, 5, 1, 4, 2, 6) 1 2 0 0 1 0 = 4
(3, 5, 1, 4, 6, 2) 1 2 0 0 5 0 = 8
(3, 5, 1, 6, 2, 4) 1 2 0 4 1 2 = 10
(3, 5, 1, 6, 4, 2) 1 2 0 4 1 0 = 8
(3, 5, 2, 1, 4, 6) 1 2 1 0 1 0 = 5
(3, 5, 2, 1, 6, 4) 1 2 1 0 5 2 = 11
(3, 5, 2, 4, 1, 6) 1 2 1 0 0 0 = 4
(3, 5, 2, 4, 6, 1) 1 2 1 0 5 0 = 9
(3, 5, 2, 6, 1, 4) 1 2 1 4 0 2 = 10
(3, 5, 2, 6, 4, 1) 1 2 1 4 1 0 = 9
(3, 5, 4, 1, 2, 6) 1 2 3 0 1 0 = 7
(3, 5, 4, 1, 6, 2) 1 2 3 0 5 0 = 11
(3, 5, 4, 2, 1, 6) 1 2 3 0 0 0 = 6
(3, 5, 4, 2, 6, 1) 1 2 3 0 5 0 = 11
(3, 5, 4, 6, 1, 2) 1 2 3 4 0 0 = 10
(3, 5, 4, 6, 2, 1) 1 2 3 4 1 0 = 11
(3, 5, 6, 1, 2, 4) 1 2 3 0 1 2 = 9
(3, 5, 6, 1, 4, 2) 1 2 3 0 1 0 = 7
(3, 5, 6, 2, 1, 4) 1 2 3 0 0 2 = 8
(3, 5, 6, 2, 4, 1) 1 2 3 0 1 0 = 7
(3, 5, 6, 4, 1, 2) 1 2 3 0 0 0 = 6
(3, 5, 6, 4, 2, 1) 1 2 3 0 1 0 = 7
(3, 6, 1, 2, 4, 5) 1 2 0 0 1 1 = 5
(3, 6, 1, 2, 5, 4) 1 2 0 0 0 2 = 5
(3, 6, 1, 4, 2, 5) 1 2 0 0 1 1 = 5
(3, 6, 1, 4, 5, 2) 1 2 0 0 0 0 = 3
(3, 6, 1, 5, 2, 4) 1 2 0 4 1 2 = 10
(3, 6, 1, 5, 4, 2) 1 2 0 4 1 0 = 8
(3, 6, 2, 1, 4, 5) 1 2 1 0 1 1 = 6
(3, 6, 2, 1, 5, 4) 1 2 1 0 0 2 = 6
(3, 6, 2, 4, 1, 5) 1 2 1 0 0 1 = 5
(3, 6, 2, 4, 5, 1) 1 2 1 0 0 0 = 4
(3, 6, 2, 5, 1, 4) 1 2 1 4 0 2 = 10
(3, 6, 2, 5, 4, 1) 1 2 1 4 1 0 = 9
(3, 6, 4, 1, 2, 5) 1 2 3 0 1 1 = 8
(3, 6, 4, 1, 5, 2) 1 2 3 0 0 0 = 6
(3, 6, 4, 2, 1, 5) 1 2 3 0 0 1 = 7
(3, 6, 4, 2, 5, 1) 1 2 3 0 0 0 = 6
(3, 6, 4, 5, 1, 2) 1 2 3 4 0 0 = 10
(3, 6, 4, 5, 2, 1) 1 2 3 4 1 0 = 11
(3, 6, 5, 1, 2, 4) 1 2 3 0 1 2 = 9
(3, 6, 5, 1, 4, 2) 1 2 3 0 1 0 = 7
(3, 6, 5, 2, 1, 4) 1 2 3 0 0 2 = 8
(3, 6, 5, 2, 4, 1) 1 2 3 0 1 0 = 7
(3, 6, 5, 4, 1, 2) 1 2 3 0 0 0 = 6
(3, 6, 5, 4, 2, 1) 1 2 3 0 1 0 = 7
(4, 1, 2, 3, 5, 6) 1 0 1 1 0 0 = 3
(4, 1, 2, 3, 6, 5) 1 0 1 1 5 1 = 9
(4, 1, 2, 5, 3, 6) 1 0 1 4 2 0 = 8
(4, 1, 2, 5, 6, 3) 1 0 1 4 5 0 = 11
(4, 1, 2, 6, 3, 5) 1 0 1 4 2 1 = 9
(4, 1, 2, 6, 5, 3) 1 0 1 4 0 0 = 6
(4, 1, 3, 2, 5, 6) 1 0 0 0 0 0 = 1
(4, 1, 3, 2, 6, 5) 1 0 0 0 5 1 = 7
(4, 1, 3, 5, 2, 6) 1 0 0 4 1 0 = 6
(4, 1, 3, 5, 6, 2) 1 0 0 4 5 0 = 10
(4, 1, 3, 6, 2, 5) 1 0 0 4 1 1 = 7
(4, 1, 3, 6, 5, 2) 1 0 0 4 0 0 = 5
(4, 1, 5, 2, 3, 6) 1 0 3 0 2 0 = 6
(4, 1, 5, 2, 6, 3) 1 0 3 0 5 0 = 9
(4, 1, 5, 3, 2, 6) 1 0 3 1 1 0 = 6
(4, 1, 5, 3, 6, 2) 1 0 3 1 5 0 = 10
(4, 1, 5, 6, 2, 3) 1 0 3 4 1 0 = 9
(4, 1, 5, 6, 3, 2) 1 0 3 4 2 0 = 10
(4, 1, 6, 2, 3, 5) 1 0 3 0 2 1 = 7
(4, 1, 6, 2, 5, 3) 1 0 3 0 0 0 = 4
(4, 1, 6, 3, 2, 5) 1 0 3 1 1 1 = 7
(4, 1, 6, 3, 5, 2) 1 0 3 1 0 0 = 5
(4, 1, 6, 5, 2, 3) 1 0 3 4 1 0 = 9
(4, 1, 6, 5, 3, 2) 1 0 3 4 2 0 = 10
(4, 2, 1, 3, 5, 6) 1 0 0 1 0 0 = 2
(4, 2, 1, 3, 6, 5) 1 0 0 1 5 1 = 8
(4, 2, 1, 5, 3, 6) 1 0 0 4 2 0 = 7
(4, 2, 1, 5, 6, 3) 1 0 0 4 5 0 = 10
(4, 2, 1, 6, 3, 5) 1 0 0 4 2 1 = 8
(4, 2, 1, 6, 5, 3) 1 0 0 4 0 0 = 5
(4, 2, 3, 1, 5, 6) 1 0 0 0 0 0 = 1
(4, 2, 3, 1, 6, 5) 1 0 0 0 5 1 = 7
(4, 2, 3, 5, 1, 6) 1 0 0 4 0 0 = 5
(4, 2, 3, 5, 6, 1) 1 0 0 4 5 0 = 10
(4, 2, 3, 6, 1, 5) 1 0 0 4 0 1 = 6
(4, 2, 3, 6, 5, 1) 1 0 0 4 0 0 = 5
(4, 2, 5, 1, 3, 6) 1 0 3 0 2 0 = 6
(4, 2, 5, 1, 6, 3) 1 0 3 0 5 0 = 9
(4, 2, 5, 3, 1, 6) 1 0 3 1 0 0 = 5
(4, 2, 5, 3, 6, 1) 1 0 3 1 5 0 = 10
(4, 2, 5, 6, 1, 3) 1 0 3 4 0 0 = 8
(4, 2, 5, 6, 3, 1) 1 0 3 4 2 0 = 10
(4, 2, 6, 1, 3, 5) 1 0 3 0 2 1 = 7
(4, 2, 6, 1, 5, 3) 1 0 3 0 0 0 = 4
(4, 2, 6, 3, 1, 5) 1 0 3 1 0 1 = 6
(4, 2, 6, 3, 5, 1) 1 0 3 1 0 0 = 5
(4, 2, 6, 5, 1, 3) 1 0 3 4 0 0 = 8
(4, 2, 6, 5, 3, 1) 1 0 3 4 2 0 = 10
(4, 3, 1, 2, 5, 6) 1 2 0 0 0 0 = 3
(4, 3, 1, 2, 6, 5) 1 2 0 0 5 1 = 9
(4, 3, 1, 5, 2, 6) 1 2 0 4 1 0 = 8
(4, 3, 1, 5, 6, 2) 1 2 0 4 5 0 = 12
(4, 3, 1, 6, 2, 5) 1 2 0 4 1 1 = 9
(4, 3, 1, 6, 5, 2) 1 2 0 4 0 0 = 7
(4, 3, 2, 1, 5, 6) 1 2 1 0 0 0 = 4
(4, 3, 2, 1, 6, 5) 1 2 1 0 5 1 = 10
(4, 3, 2, 5, 1, 6) 1 2 1 4 0 0 = 8
(4, 3, 2, 5, 6, 1) 1 2 1 4 5 0 = 13
(4, 3, 2, 6, 1, 5) 1 2 1 4 0 1 = 9
(4, 3, 2, 6, 5, 1) 1 2 1 4 0 0 = 8
(4, 3, 5, 1, 2, 6) 1 2 3 0 1 0 = 7
(4, 3, 5, 1, 6, 2) 1 2 3 0 5 0 = 11
(4, 3, 5, 2, 1, 6) 1 2 3 0 0 0 = 6
(4, 3, 5, 2, 6, 1) 1 2 3 0 5 0 = 11
(4, 3, 5, 6, 1, 2) 1 2 3 4 0 0 = 10
(4, 3, 5, 6, 2, 1) 1 2 3 4 1 0 = 11
(4, 3, 6, 1, 2, 5) 1 2 3 0 1 1 = 8
(4, 3, 6, 1, 5, 2) 1 2 3 0 0 0 = 6
(4, 3, 6, 2, 1, 5) 1 2 3 0 0 1 = 7
(4, 3, 6, 2, 5, 1) 1 2 3 0 0 0 = 6
(4, 3, 6, 5, 1, 2) 1 2 3 4 0 0 = 10
(4, 3, 6, 5, 2, 1) 1 2 3 4 1 0 = 11
(4, 5, 1, 2, 3, 6) 1 2 0 0 2 0 = 5
(4, 5, 1, 2, 6, 3) 1 2 0 0 5 0 = 8
(4, 5, 1, 3, 2, 6) 1 2 0 1 1 0 = 5
(4, 5, 1, 3, 6, 2) 1 2 0 1 5 0 = 9
(4, 5, 1, 6, 2, 3) 1 2 0 4 1 0 = 8
(4, 5, 1, 6, 3, 2) 1 2 0 4 2 0 = 9
(4, 5, 2, 1, 3, 6) 1 2 1 0 2 0 = 6
(4, 5, 2, 1, 6, 3) 1 2 1 0 5 0 = 9
(4, 5, 2, 3, 1, 6) 1 2 1 1 0 0 = 5
(4, 5, 2, 3, 6, 1) 1 2 1 1 5 0 = 10
(4, 5, 2, 6, 1, 3) 1 2 1 4 0 0 = 8
(4, 5, 2, 6, 3, 1) 1 2 1 4 2 0 = 10
(4, 5, 3, 1, 2, 6) 1 2 0 0 1 0 = 4
(4, 5, 3, 1, 6, 2) 1 2 0 0 5 0 = 8
(4, 5, 3, 2, 1, 6) 1 2 0 0 0 0 = 3
(4, 5, 3, 2, 6, 1) 1 2 0 0 5 0 = 8
(4, 5, 3, 6, 1, 2) 1 2 0 4 0 0 = 7
(4, 5, 3, 6, 2, 1) 1 2 0 4 1 0 = 8
(4, 5, 6, 1, 2, 3) 1 2 3 0 1 0 = 7
(4, 5, 6, 1, 3, 2) 1 2 3 0 2 0 = 8
(4, 5, 6, 2, 1, 3) 1 2 3 0 0 0 = 6
(4, 5, 6, 2, 3, 1) 1 2 3 0 2 0 = 8
(4, 5, 6, 3, 1, 2) 1 2 3 1 0 0 = 7
(4, 5, 6, 3, 2, 1) 1 2 3 1 1 0 = 8
(4, 6, 1, 2, 3, 5) 1 2 0 0 2 1 = 6
(4, 6, 1, 2, 5, 3) 1 2 0 0 0 0 = 3
(4, 6, 1, 3, 2, 5) 1 2 0 1 1 1 = 6
(4, 6, 1, 3, 5, 2) 1 2 0 1 0 0 = 4
(4, 6, 1, 5, 2, 3) 1 2 0 4 1 0 = 8
(4, 6, 1, 5, 3, 2) 1 2 0 4 2 0 = 9
(4, 6, 2, 1, 3, 5) 1 2 1 0 2 1 = 7
(4, 6, 2, 1, 5, 3) 1 2 1 0 0 0 = 4
(4, 6, 2, 3, 1, 5) 1 2 1 1 0 1 = 6
(4, 6, 2, 3, 5, 1) 1 2 1 1 0 0 = 5
(4, 6, 2, 5, 1, 3) 1 2 1 4 0 0 = 8
(4, 6, 2, 5, 3, 1) 1 2 1 4 2 0 = 10
(4, 6, 3, 1, 2, 5) 1 2 0 0 1 1 = 5
(4, 6, 3, 1, 5, 2) 1 2 0 0 0 0 = 3
(4, 6, 3, 2, 1, 5) 1 2 0 0 0 1 = 4
(4, 6, 3, 2, 5, 1) 1 2 0 0 0 0 = 3
(4, 6, 3, 5, 1, 2) 1 2 0 4 0 0 = 7
(4, 6, 3, 5, 2, 1) 1 2 0 4 1 0 = 8
(4, 6, 5, 1, 2, 3) 1 2 3 0 1 0 = 7
(4, 6, 5, 1, 3, 2) 1 2 3 0 2 0 = 8
(4, 6, 5, 2, 1, 3) 1 2 3 0 0 0 = 6
(4, 6, 5, 2, 3, 1) 1 2 3 0 2 0 = 8
(4, 6, 5, 3, 1, 2) 1 2 3 1 0 0 = 7
(4, 6, 5, 3, 2, 1) 1 2 3 1 1 0 = 8
(5, 1, 2, 3, 4, 6) 1 0 1 1 1 0 = 4
(5, 1, 2, 3, 6, 4) 1 0 1 1 5 2 = 10
(5, 1, 2, 4, 3, 6) 1 0 1 0 2 0 = 4
(5, 1, 2, 4, 6, 3) 1 0 1 0 5 0 = 7
(5, 1, 2, 6, 3, 4) 1 0 1 4 2 2 = 10
(5, 1, 2, 6, 4, 3) 1 0 1 4 1 0 = 7
(5, 1, 3, 2, 4, 6) 1 0 0 0 1 0 = 2
(5, 1, 3, 2, 6, 4) 1 0 0 0 5 2 = 8
(5, 1, 3, 4, 2, 6) 1 0 0 0 1 0 = 2
(5, 1, 3, 4, 6, 2) 1 0 0 0 5 0 = 6
(5, 1, 3, 6, 2, 4) 1 0 0 4 1 2 = 8
(5, 1, 3, 6, 4, 2) 1 0 0 4 1 0 = 6
(5, 1, 4, 2, 3, 6) 1 0 3 0 2 0 = 6
(5, 1, 4, 2, 6, 3) 1 0 3 0 5 0 = 9
(5, 1, 4, 3, 2, 6) 1 0 3 1 1 0 = 6
(5, 1, 4, 3, 6, 2) 1 0 3 1 5 0 = 10
(5, 1, 4, 6, 2, 3) 1 0 3 4 1 0 = 9
(5, 1, 4, 6, 3, 2) 1 0 3 4 2 0 = 10
(5, 1, 6, 2, 3, 4) 1 0 3 0 2 2 = 8
(5, 1, 6, 2, 4, 3) 1 0 3 0 1 0 = 5
(5, 1, 6, 3, 2, 4) 1 0 3 1 1 2 = 8
(5, 1, 6, 3, 4, 2) 1 0 3 1 1 0 = 6
(5, 1, 6, 4, 2, 3) 1 0 3 0 1 0 = 5
(5, 1, 6, 4, 3, 2) 1 0 3 0 2 0 = 6
(5, 2, 1, 3, 4, 6) 1 0 0 1 1 0 = 3
(5, 2, 1, 3, 6, 4) 1 0 0 1 5 2 = 9
(5, 2, 1, 4, 3, 6) 1 0 0 0 2 0 = 3
(5, 2, 1, 4, 6, 3) 1 0 0 0 5 0 = 6
(5, 2, 1, 6, 3, 4) 1 0 0 4 2 2 = 9
(5, 2, 1, 6, 4, 3) 1 0 0 4 1 0 = 6
(5, 2, 3, 1, 4, 6) 1 0 0 0 1 0 = 2
(5, 2, 3, 1, 6, 4) 1 0 0 0 5 2 = 8
(5, 2, 3, 4, 1, 6) 1 0 0 0 0 0 = 1
(5, 2, 3, 4, 6, 1) 1 0 0 0 5 0 = 6
(5, 2, 3, 6, 1, 4) 1 0 0 4 0 2 = 7
(5, 2, 3, 6, 4, 1) 1 0 0 4 1 0 = 6
(5, 2, 4, 1, 3, 6) 1 0 3 0 2 0 = 6
(5, 2, 4, 1, 6, 3) 1 0 3 0 5 0 = 9
(5, 2, 4, 3, 1, 6) 1 0 3 1 0 0 = 5
(5, 2, 4, 3, 6, 1) 1 0 3 1 5 0 = 10
(5, 2, 4, 6, 1, 3) 1 0 3 4 0 0 = 8
(5, 2, 4, 6, 3, 1) 1 0 3 4 2 0 = 10
(5, 2, 6, 1, 3, 4) 1 0 3 0 2 2 = 8
(5, 2, 6, 1, 4, 3) 1 0 3 0 1 0 = 5
(5, 2, 6, 3, 1, 4) 1 0 3 1 0 2 = 7
(5, 2, 6, 3, 4, 1) 1 0 3 1 1 0 = 6
(5, 2, 6, 4, 1, 3) 1 0 3 0 0 0 = 4
(5, 2, 6, 4, 3, 1) 1 0 3 0 2 0 = 6
(5, 3, 1, 2, 4, 6) 1 2 0 0 1 0 = 4
(5, 3, 1, 2, 6, 4) 1 2 0 0 5 2 = 10
(5, 3, 1, 4, 2, 6) 1 2 0 0 1 0 = 4
(5, 3, 1, 4, 6, 2) 1 2 0 0 5 0 = 8
(5, 3, 1, 6, 2, 4) 1 2 0 4 1 2 = 10
(5, 3, 1, 6, 4, 2) 1 2 0 4 1 0 = 8
(5, 3, 2, 1, 4, 6) 1 2 1 0 1 0 = 5
(5, 3, 2, 1, 6, 4) 1 2 1 0 5 2 = 11
(5, 3, 2, 4, 1, 6) 1 2 1 0 0 0 = 4
(5, 3, 2, 4, 6, 1) 1 2 1 0 5 0 = 9
(5, 3, 2, 6, 1, 4) 1 2 1 4 0 2 = 10
(5, 3, 2, 6, 4, 1) 1 2 1 4 1 0 = 9
(5, 3, 4, 1, 2, 6) 1 2 3 0 1 0 = 7
(5, 3, 4, 1, 6, 2) 1 2 3 0 5 0 = 11
(5, 3, 4, 2, 1, 6) 1 2 3 0 0 0 = 6
(5, 3, 4, 2, 6, 1) 1 2 3 0 5 0 = 11
(5, 3, 4, 6, 1, 2) 1 2 3 4 0 0 = 10
(5, 3, 4, 6, 2, 1) 1 2 3 4 1 0 = 11
(5, 3, 6, 1, 2, 4) 1 2 3 0 1 2 = 9
(5, 3, 6, 1, 4, 2) 1 2 3 0 1 0 = 7
(5, 3, 6, 2, 1, 4) 1 2 3 0 0 2 = 8
(5, 3, 6, 2, 4, 1) 1 2 3 0 1 0 = 7
(5, 3, 6, 4, 1, 2) 1 2 3 0 0 0 = 6
(5, 3, 6, 4, 2, 1) 1 2 3 0 1 0 = 7
(5, 4, 1, 2, 3, 6) 1 2 0 0 2 0 = 5
(5, 4, 1, 2, 6, 3) 1 2 0 0 5 0 = 8
(5, 4, 1, 3, 2, 6) 1 2 0 1 1 0 = 5
(5, 4, 1, 3, 6, 2) 1 2 0 1 5 0 = 9
(5, 4, 1, 6, 2, 3) 1 2 0 4 1 0 = 8
(5, 4, 1, 6, 3, 2) 1 2 0 4 2 0 = 9
(5, 4, 2, 1, 3, 6) 1 2 1 0 2 0 = 6
(5, 4, 2, 1, 6, 3) 1 2 1 0 5 0 = 9
(5, 4, 2, 3, 1, 6) 1 2 1 1 0 0 = 5
(5, 4, 2, 3, 6, 1) 1 2 1 1 5 0 = 10
(5, 4, 2, 6, 1, 3) 1 2 1 4 0 0 = 8
(5, 4, 2, 6, 3, 1) 1 2 1 4 2 0 = 10
(5, 4, 3, 1, 2, 6) 1 2 0 0 1 0 = 4
(5, 4, 3, 1, 6, 2) 1 2 0 0 5 0 = 8
(5, 4, 3, 2, 1, 6) 1 2 0 0 0 0 = 3
(5, 4, 3, 2, 6, 1) 1 2 0 0 5 0 = 8
(5, 4, 3, 6, 1, 2) 1 2 0 4 0 0 = 7
(5, 4, 3, 6, 2, 1) 1 2 0 4 1 0 = 8
(5, 4, 6, 1, 2, 3) 1 2 3 0 1 0 = 7
(5, 4, 6, 1, 3, 2) 1 2 3 0 2 0 = 8
(5, 4, 6, 2, 1, 3) 1 2 3 0 0 0 = 6
(5, 4, 6, 2, 3, 1) 1 2 3 0 2 0 = 8
(5, 4, 6, 3, 1, 2) 1 2 3 1 0 0 = 7
(5, 4, 6, 3, 2, 1) 1 2 3 1 1 0 = 8
(5, 6, 1, 2, 3, 4) 1 2 0 0 2 2 = 7
(5, 6, 1, 2, 4, 3) 1 2 0 0 1 0 = 4
(5, 6, 1, 3, 2, 4) 1 2 0 1 1 2 = 7
(5, 6, 1, 3, 4, 2) 1 2 0 1 1 0 = 5
(5, 6, 1, 4, 2, 3) 1 2 0 0 1 0 = 4
(5, 6, 1, 4, 3, 2) 1 2 0 0 2 0 = 5
(5, 6, 2, 1, 3, 4) 1 2 1 0 2 2 = 8
(5, 6, 2, 1, 4, 3) 1 2 1 0 1 0 = 5
(5, 6, 2, 3, 1, 4) 1 2 1 1 0 2 = 7
(5, 6, 2, 3, 4, 1) 1 2 1 1 1 0 = 6
(5, 6, 2, 4, 1, 3) 1 2 1 0 0 0 = 4
(5, 6, 2, 4, 3, 1) 1 2 1 0 2 0 = 6
(5, 6, 3, 1, 2, 4) 1 2 0 0 1 2 = 6
(5, 6, 3, 1, 4, 2) 1 2 0 0 1 0 = 4
(5, 6, 3, 2, 1, 4) 1 2 0 0 0 2 = 5
(5, 6, 3, 2, 4, 1) 1 2 0 0 1 0 = 4
(5, 6, 3, 4, 1, 2) 1 2 0 0 0 0 = 3
(5, 6, 3, 4, 2, 1) 1 2 0 0 1 0 = 4
(5, 6, 4, 1, 2, 3) 1 2 3 0 1 0 = 7
(5, 6, 4, 1, 3, 2) 1 2 3 0 2 0 = 8
(5, 6, 4, 2, 1, 3) 1 2 3 0 0 0 = 6
(5, 6, 4, 2, 3, 1) 1 2 3 0 2 0 = 8
(5, 6, 4, 3, 1, 2) 1 2 3 1 0 0 = 7
(5, 6, 4, 3, 2, 1) 1 2 3 1 1 0 = 8
(6, 1, 2, 3, 4, 5) 1 0 1 1 1 1 = 5
(6, 1, 2, 3, 5, 4) 1 0 1 1 0 2 = 5
(6, 1, 2, 4, 3, 5) 1 0 1 0 2 1 = 5
(6, 1, 2, 4, 5, 3) 1 0 1 0 0 0 = 2
(6, 1, 2, 5, 3, 4) 1 0 1 4 2 2 = 10
(6, 1, 2, 5, 4, 3) 1 0 1 4 1 0 = 7
(6, 1, 3, 2, 4, 5) 1 0 0 0 1 1 = 3
(6, 1, 3, 2, 5, 4) 1 0 0 0 0 2 = 3
(6, 1, 3, 4, 2, 5) 1 0 0 0 1 1 = 3
(6, 1, 3, 4, 5, 2) 1 0 0 0 0 0 = 1
(6, 1, 3, 5, 2, 4) 1 0 0 4 1 2 = 8
(6, 1, 3, 5, 4, 2) 1 0 0 4 1 0 = 6
(6, 1, 4, 2, 3, 5) 1 0 3 0 2 1 = 7
(6, 1, 4, 2, 5, 3) 1 0 3 0 0 0 = 4
(6, 1, 4, 3, 2, 5) 1 0 3 1 1 1 = 7
(6, 1, 4, 3, 5, 2) 1 0 3 1 0 0 = 5
(6, 1, 4, 5, 2, 3) 1 0 3 4 1 0 = 9
(6, 1, 4, 5, 3, 2) 1 0 3 4 2 0 = 10
(6, 1, 5, 2, 3, 4) 1 0 3 0 2 2 = 8
(6, 1, 5, 2, 4, 3) 1 0 3 0 1 0 = 5
(6, 1, 5, 3, 2, 4) 1 0 3 1 1 2 = 8
(6, 1, 5, 3, 4, 2) 1 0 3 1 1 0 = 6
(6, 1, 5, 4, 2, 3) 1 0 3 0 1 0 = 5
(6, 1, 5, 4, 3, 2) 1 0 3 0 2 0 = 6
(6, 2, 1, 3, 4, 5) 1 0 0 1 1 1 = 4
(6, 2, 1, 3, 5, 4) 1 0 0 1 0 2 = 4
(6, 2, 1, 4, 3, 5) 1 0 0 0 2 1 = 4
(6, 2, 1, 4, 5, 3) 1 0 0 0 0 0 = 1
(6, 2, 1, 5, 3, 4) 1 0 0 4 2 2 = 9
(6, 2, 1, 5, 4, 3) 1 0 0 4 1 0 = 6
(6, 2, 3, 1, 4, 5) 1 0 0 0 1 1 = 3
(6, 2, 3, 1, 5, 4) 1 0 0 0 0 2 = 3
(6, 2, 3, 4, 1, 5) 1 0 0 0 0 1 = 2
(6, 2, 3, 4, 5, 1) 1 0 0 0 0 0 = 1
(6, 2, 3, 5, 1, 4) 1 0 0 4 0 2 = 7
(6, 2, 3, 5, 4, 1) 1 0 0 4 1 0 = 6
(6, 2, 4, 1, 3, 5) 1 0 3 0 2 1 = 7
(6, 2, 4, 1, 5, 3) 1 0 3 0 0 0 = 4
(6, 2, 4, 3, 1, 5) 1 0 3 1 0 1 = 6
(6, 2, 4, 3, 5, 1) 1 0 3 1 0 0 = 5
(6, 2, 4, 5, 1, 3) 1 0 3 4 0 0 = 8
(6, 2, 4, 5, 3, 1) 1 0 3 4 2 0 = 10
(6, 2, 5, 1, 3, 4) 1 0 3 0 2 2 = 8
(6, 2, 5, 1, 4, 3) 1 0 3 0 1 0 = 5
(6, 2, 5, 3, 1, 4) 1 0 3 1 0 2 = 7
(6, 2, 5, 3, 4, 1) 1 0 3 1 1 0 = 6
(6, 2, 5, 4, 1, 3) 1 0 3 0 0 0 = 4
(6, 2, 5, 4, 3, 1) 1 0 3 0 2 0 = 6
(6, 3, 1, 2, 4, 5) 1 2 0 0 1 1 = 5
(6, 3, 1, 2, 5, 4) 1 2 0 0 0 2 = 5
(6, 3, 1, 4, 2, 5) 1 2 0 0 1 1 = 5
(6, 3, 1, 4, 5, 2) 1 2 0 0 0 0 = 3
(6, 3, 1, 5, 2, 4) 1 2 0 4 1 2 = 10
(6, 3, 1, 5, 4, 2) 1 2 0 4 1 0 = 8
(6, 3, 2, 1, 4, 5) 1 2 1 0 1 1 = 6
(6, 3, 2, 1, 5, 4) 1 2 1 0 0 2 = 6
(6, 3, 2, 4, 1, 5) 1 2 1 0 0 1 = 5
(6, 3, 2, 4, 5, 1) 1 2 1 0 0 0 = 4
(6, 3, 2, 5, 1, 4) 1 2 1 4 0 2 = 10
(6, 3, 2, 5, 4, 1) 1 2 1 4 1 0 = 9
(6, 3, 4, 1, 2, 5) 1 2 3 0 1 1 = 8
(6, 3, 4, 1, 5, 2) 1 2 3 0 0 0 = 6
(6, 3, 4, 2, 1, 5) 1 2 3 0 0 1 = 7
(6, 3, 4, 2, 5, 1) 1 2 3 0 0 0 = 6
(6, 3, 4, 5, 1, 2) 1 2 3 4 0 0 = 10
(6, 3, 4, 5, 2, 1) 1 2 3 4 1 0 = 11
(6, 3, 5, 1, 2, 4) 1 2 3 0 1 2 = 9
(6, 3, 5, 1, 4, 2) 1 2 3 0 1 0 = 7
(6, 3, 5, 2, 1, 4) 1 2 3 0 0 2 = 8
(6, 3, 5, 2, 4, 1) 1 2 3 0 1 0 = 7
(6, 3, 5, 4, 1, 2) 1 2 3 0 0 0 = 6
(6, 3, 5, 4, 2, 1) 1 2 3 0 1 0 = 7
(6, 4, 1, 2, 3, 5) 1 2 0 0 2 1 = 6
(6, 4, 1, 2, 5, 3) 1 2 0 0 0 0 = 3
(6, 4, 1, 3, 2, 5) 1 2 0 1 1 1 = 6
(6, 4, 1, 3, 5, 2) 1 2 0 1 0 0 = 4
(6, 4, 1, 5, 2, 3) 1 2 0 4 1 0 = 8
(6, 4, 1, 5, 3, 2) 1 2 0 4 2 0 = 9
(6, 4, 2, 1, 3, 5) 1 2 1 0 2 1 = 7
(6, 4, 2, 1, 5, 3) 1 2 1 0 0 0 = 4
(6, 4, 2, 3, 1, 5) 1 2 1 1 0 1 = 6
(6, 4, 2, 3, 5, 1) 1 2 1 1 0 0 = 5
(6, 4, 2, 5, 1, 3) 1 2 1 4 0 0 = 8
(6, 4, 2, 5, 3, 1) 1 2 1 4 2 0 = 10
(6, 4, 3, 1, 2, 5) 1 2 0 0 1 1 = 5
(6, 4, 3, 1, 5, 2) 1 2 0 0 0 0 = 3
(6, 4, 3, 2, 1, 5) 1 2 0 0 0 1 = 4
(6, 4, 3, 2, 5, 1) 1 2 0 0 0 0 = 3
(6, 4, 3, 5, 1, 2) 1 2 0 4 0 0 = 7
(6, 4, 3, 5, 2, 1) 1 2 0 4 1 0 = 8
(6, 4, 5, 1, 2, 3) 1 2 3 0 1 0 = 7
(6, 4, 5, 1, 3, 2) 1 2 3 0 2 0 = 8
(6, 4, 5, 2, 1, 3) 1 2 3 0 0 0 = 6
(6, 4, 5, 2, 3, 1) 1 2 3 0 2 0 = 8
(6, 4, 5, 3, 1, 2) 1 2 3 1 0 0 = 7
(6, 4, 5, 3, 2, 1) 1 2 3 1 1 0 = 8
(6, 5, 1, 2, 3, 4) 1 2 0 0 2 2 = 7
(6, 5, 1, 2, 4, 3) 1 2 0 0 1 0 = 4
(6, 5, 1, 3, 2, 4) 1 2 0 1 1 2 = 7
(6, 5, 1, 3, 4, 2) 1 2 0 1 1 0 = 5
(6, 5, 1, 4, 2, 3) 1 2 0 0 1 0 = 4
(6, 5, 1, 4, 3, 2) 1 2 0 0 2 0 = 5
(6, 5, 2, 1, 3, 4) 1 2 1 0 2 2 = 8
(6, 5, 2, 1, 4, 3) 1 2 1 0 1 0 = 5
(6, 5, 2, 3, 1, 4) 1 2 1 1 0 2 = 7
(6, 5, 2, 3, 4, 1) 1 2 1 1 1 0 = 6
(6, 5, 2, 4, 1, 3) 1 2 1 0 0 0 = 4
(6, 5, 2, 4, 3, 1) 1 2 1 0 2 0 = 6
(6, 5, 3, 1, 2, 4) 1 2 0 0 1 2 = 6
(6, 5, 3, 1, 4, 2) 1 2 0 0 1 0 = 4
(6, 5, 3, 2, 1, 4) 1 2 0 0 0 2 = 5
(6, 5, 3, 2, 4, 1) 1 2 0 0 1 0 = 4
(6, 5, 3, 4, 1, 2) 1 2 0 0 0 0 = 3
(6, 5, 3, 4, 2, 1) 1 2 0 0 1 0 = 4
(6, 5, 4, 1, 2, 3) 1 2 3 0 1 0 = 7
(6, 5, 4, 1, 3, 2) 1 2 3 0 2 0 = 8
(6, 5, 4, 2, 1, 3) 1 2 3 0 0 0 = 6
(6, 5, 4, 2, 3, 1) 1 2 3 0 2 0 = 8
(6, 5, 4, 3, 1, 2) 1 2 3 1 0 0 = 7
(6, 5, 4, 3, 2, 1) 1 2 3 1 1 0 = 8