Cody

# Problem 753. Solitaire Cipher

Solution 126463

Submitted on 11 Aug 2012 by @bmtran (Bryant Tran)
This solution is locked. To view this solution, you need to provide a solution of the same size or smaller.

### Test Suite

Test Status Code Input and Output
1   Pass
deck = [1 4 7 10 13 16 19 22 25 28 3 6 9 12 15 18 21 24 27 2 5 8 11 14 17 20 23 26]; n = 10; out = [8 26 1 4 7 23 8 8 4 24]; assert(isequal(solitaire(deck, n),out))

deck = Columns 1 through 16 1 4 7 10 13 16 19 22 25 28 3 6 9 12 15 18 Columns 17 through 28 21 24 2 27 5 8 11 14 17 20 23 26 j2 = 10 deck = Columns 1 through 16 1 4 7 10 13 16 19 22 25 3 6 28 9 12 15 18 Columns 17 through 28 21 24 2 27 5 8 11 14 17 20 23 26 deck = Columns 1 through 16 5 8 11 14 17 20 23 26 28 9 12 15 18 21 24 2 Columns 17 through 28 27 1 4 7 10 13 16 19 22 25 3 6 deck = Columns 1 through 16 23 26 28 9 12 15 18 21 24 2 27 1 4 7 10 13 Columns 17 through 28 16 19 22 25 3 5 8 11 14 17 20 6 out = 8 0 0 0 0 0 0 0 0 0 deck = Columns 1 through 16 23 26 28 9 12 15 18 21 24 2 1 27 4 7 10 13 Columns 17 through 28 16 19 22 25 3 5 8 11 14 17 20 6 j2 = 3 deck = Columns 1 through 16 23 26 9 12 28 15 18 21 24 2 1 27 4 7 10 13 Columns 17 through 28 16 19 22 25 3 5 8 11 14 17 20 6 deck = Columns 1 through 16 4 7 10 13 16 19 22 25 3 5 8 11 14 17 20 6 Columns 17 through 28 28 15 18 21 24 2 1 27 23 26 9 12 deck = Columns 1 through 16 14 17 20 6 28 15 18 21 24 2 1 27 23 26 9 4 Columns 17 through 28 7 10 13 16 19 22 25 3 5 8 11 12 out = 8 26 0 0 0 0 0 0 0 0 deck = Columns 1 through 16 14 17 20 6 28 15 18 21 24 2 1 23 27 26 9 4 Columns 17 through 28 7 10 13 16 19 22 25 3 5 8 11 12 j2 = 5 deck = Columns 1 through 16 14 17 20 6 15 18 28 21 24 2 1 23 27 26 9 4 Columns 17 through 28 7 10 13 16 19 22 25 3 5 8 11 12 deck = Columns 1 through 16 26 9 4 7 10 13 16 19 22 25 3 5 8 11 12 28 Columns 17 through 28 21 24 2 1 23 27 14 17 20 6 15 18 deck = Columns 1 through 16 2 1 23 27 14 17 20 6 15 26 9 4 7 10 13 16 Columns 17 through 28 19 22 25 3 5 8 11 12 28 21 24 18 out = 8 26 1 0 0 0 0 0 0 0 deck = Columns 1 through 16 2 1 23 14 27 17 20 6 15 26 9 4 7 10 13 16 Columns 17 through 28 19 22 25 3 5 8 11 12 28 21 24 18 j2 = 25 deck = Columns 1 through 16 2 1 23 14 27 17 20 6 15 26 9 4 7 10 13 16 Columns 17 through 28 19 22 25 3 5 8 11 12 21 24 28 18 deck = Columns 1 through 16 18 27 17 20 6 15 26 9 4 7 10 13 16 19 22 25 Columns 17 through 28 3 5 8 11 12 21 24 28 2 1 23 14 deck = Columns 1 through 16 22 25 3 5 8 11 12 21 24 28 2 1 23 18 27 17 Columns 17 through 28 20 6 15 26 9 4 7 10 13 16 19 14 out = 8 26 1 4 0 0 0 0 0 0 deck = Columns 1 through 16 22 25 3 5 8 11 12 21 24 28 2 1 23 18 17 27 Columns 17 through 28 20 6 15 26 9 4 7 10 13 16 19 14 j2 = 10 deck = Columns 1 through 16 22 25 3 5 8 11 12 21 24 2 1 28 23 18 17 27 Columns 17 through 28 20 6 15 26 9 4 7 10 13 16 19 14 deck = Columns 1 through 16 20 6 15 26 9 4 7 10 13 16 19 14 28 23 18 17 Columns 17 through 28 27 22 25 3 5 8 11 12 21 24 2 1 deck = Columns 1 through 16 6 15 26 9 4 7 10 13 16 19 14 28 23 18 17 27 Columns 17 through 28 22 25 3 5 8 11 12 21 24 2 20 1 out = 8 26 1 4 7 0 0 0 0 0 deck = Columns 1 through 16 6 15 26 9 4 7 10 13 16 19 14 28 23 18 17 22 Columns 17 through 28 27 25 3 5 8 11 12 21 24 2 20 1 j2 = 12 deck = Columns 1 through 16 6 15 26 9 4 7 10 13 16 19 14 23 18 28 17 22 Columns 17 through 28 27 25 3 5 8 11 12 21 24 2 20 1 deck = Columns 1 through 16 25 3 5 8 11 12 21 24 2 20 1 28 17 22 27 6 Columns 17 through 28 15 26 9 4 7 10 13 16 19 14 23 18 deck = Columns 1 through 16 9 4 7 10 13 16 19 14 23 25 3 5 8 11 12 21 Columns 17 through 28 24 2 20 1 28 17 22 27 6 15 26 18 out = 8 26 1 4 7 23 0 0 0 0 deck = Columns 1 through 16 9 4 7 10 13 16 19 14 23 25 3 5 8 11 12 21 Columns 17 through 28 24 2 20 1 28 17 22 6 27 15 26 18 j2 = 21 deck = Columns 1 through 16 9 4 7 10 13 16 19 14 23 25 3 5 8 11 12 21 Columns 17 through 28 24 2 20 1 17 22 28 6 27 15 26 18 deck = Columns 1 through 16 15 26 18 28 6 27 9 4 7 10 13 16 19 14 23 25 Columns 17 through 28 3 5 8 11 12 21 24 2 20 1 17 22 deck = Columns 1 through 16 24 2 20 1 17 15 26 18 28 6 27 9 4 7 10 13 Columns 17 through 28 16 19 14 23 25 3 5 8 11 12 21 22 out = 8 26 1 4 7 23 8 0 0 0 deck = Columns 1 through 16 24 2 20 1 17 15 26 18 28 6 9 27 4 7 10 13 Columns 17 through 28 16 19 14 23 25 3 5 8 11 12 21 22 j2 = 9 deck = Columns 1 through 16 24 2 20 1 17 15 26 18 6 9 28 27 4 7 10 13 Columns 17 through 28 16 19 14 23 25 3 5 8 11 12 21 22 deck = Columns 1 through 16 4 7 10 13 16 19 14 23 25 3 5 8 11 12 21 22 Columns 17 through 28 28 27 24 2 20 1 17 15 26 18 6 9 deck = Columns 1 through 16 3 5 8 11 12 21 22 28 27 24 2 20 1 17 15 26 Columns 17 through 28 18 6 4 7 10 13 16 19 14 23 25 9 out = 8 26 1 4 7 23 8 8 0 0 deck = Columns 1 through 16 3 5 8 11 12 21 22 28 24 27 2 20 1 17 15 26 Columns 17 through 28 18 6 4 7 10 13 16 19 14 23 25 9 j2 = 8 deck = Columns 1 through 16 3 5 8 11 12 21 22 24 27 28 2 20 1 17 15 26 Columns 17 through 28 18 6 4 7 10 13 16 19 14 23 25 9 deck = Columns 1 through 16 2 20 1 17 15 26 18 6 4 7 10 13 16 19 14 23 Columns 17 through 28 25 9 27 28 3 5 8 11 12 21 22 24 deck = Columns 1 through 16 12 21 22 2 20 1 17 15 26 18 6 4 7 10 13 16 Columns 17 through 28 19 14 23 25 9 27 28 3 5 8 11 24 out = 8 26 1 4 7 23 8 8 4 0 deck = Columns 1 through 16 12 21 22 2 20 1 17 15 26 18 6 4 7 10 13 16 Columns 17 through 28 19 14 23 25 9 28 27 3 5 8 11 24 j2 = 22 deck = Columns 1 through 16 12 21 22 2 20 1 17 15 26 18 6 4 7 10 13 16 Columns 17 through 28 19 14 23 25 9 27 3 28 5 8 11 24 deck = Columns 1 through 16 5 8 11 24 27 3 28 12 21 22 2 20 1 17 15 26 Columns 17 through 28 18 6 4 7 10 13 16 19 14 23 25 9 deck = Columns 1 through 16 22 2 20 1 17 15 26 18 6 4 7 10 13 16 19 14 Columns 17 through 28 23 25 5 8 11 24 27 3 28 12 21 9 out = 8 26 1 4 7 23 8 8 4 24

2   Pass
%% deck = 1:28; n = 10; out = [3 22 9 4 23 7 25 16 14 14]; assert(isequal(solitaire(deck, n),out))

deck = Columns 1 through 16 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 Columns 17 through 28 17 18 19 20 21 22 23 24 25 26 28 27 j2 = 27 deck = Columns 1 through 16 1 28 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Columns 17 through 28 16 17 18 19 20 21 22 23 24 25 26 27 deck = Columns 1 through 16 28 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 Columns 17 through 28 17 18 19 20 21 22 23 24 25 26 27 1 deck = Columns 1 through 16 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 Columns 17 through 28 18 19 20 21 22 23 24 25 26 27 28 1 out = 3 0 0 0 0 0 0 0 0 0 deck = Columns 1 through 16 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 Columns 17 through 28 18 19 20 21 22 23 24 25 26 28 27 1 j2 = 26 deck = Columns 1 through 16 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 Columns 17 through 28 18 19 20 21 22 23 24 25 26 27 1 28 deck = Columns 1 through 16 27 1 28 2 3 4 5 6 7 8 9 10 11 12 13 14 Columns 17 through 28 15 16 17 18 19 20 21 22 23 24 25 26 deck = Columns 1 through 16 25 27 1 28 2 3 4 5 6 7 8 9 10 11 12 13 Columns 17 through 28 14 15 16 17 18 19 20 21 22 23 24 26 out = 3 22 0 0 0 0 0 0 0 0 deck = Columns 1 through 16 25 1 27 28 2 3 4 5 6 7 8 9 10 11 12 13 Columns 17 through 28 14 15 16 17 18 19 20 21 22 23 24 26 j2 = 4 deck = Columns 1 through 16 25 1 27 2 3 28 4 5 6 7 8 9 10 11 12 13 Columns 17 through 28 14 15 16 17 18 19 20 21 22 23 24 26 deck = Columns 1 through 16 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 Columns 17 through 28 20 21 22 23 24 26 27 2 3 28 25 1 deck = Columns 1 through 16 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 Columns 17 through 28 21 22 23 24 26 27 2 3 28 25 4 1 out = 3 22 9 0 0 0 0 0 0 0 deck = Columns 1 through 16 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 Columns 17 through 28 21 22 23 24 26 2 27 3 28 25 4 1 j2 = 25 deck = Columns 1 through 16 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 Columns 17 through 28 21 22 23 24 26 2 27 3 25 4 28 1 deck = Columns 1 through 16 1 27 3 25 4 28 5 6 7 8 9 10 11 12 13 14 Columns 17 through 28 15 16 17 18 19 20 21 22 23 24 26 2 deck = Columns 1 through 16 3 25 4 28 5 6 7 8 9 10 11 12 13 14 15 16 Columns 17 through 28 17 18 19 20 21 22 23 24 26 1 27 2 out = 3 22 9 4 0 0 0 0 0 0 deck = Columns 1 through 16 3 25 4 28 5 6 7 8 9 10 11 12 13 14 15 16 Columns 17 through 28 17 18 19 20 21 22 23 24 26 1 2 27 j2 = 4 deck = Columns 1 through 16 3 25 4 5 6 28 7 8 9 10 11 12 13 14 15 16 Columns 17 through 28 17 18 19 20 21 22 23 24 26 1 2 27 deck = Columns 1 through 16 28 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 Columns 17 through 28 22 23 24 26 1 2 27 3 25 4 5 6 deck = Columns 1 through 16 12 13 14 15 16 17 18 19 20 21 22 23 24 26 1 2 Columns 17 through 28 27 3 25 4 5 28 7 8 9 10 11 6 out = 3 22 9 4 23 0 0 0 0 0 deck = Columns 1 through 16 12 13 14 15 16 17 18 19 20 21 22 23 24 26 1 2 Columns 17 through 28 3 27 25 4 5 28 7 8 9 10 11 6 j2 = 22 deck = Columns 1 through 16 12 13 14 15 16 17 18 19 20 21 22 23 24 26 1 2 Columns 17 through 28 3 27 25 4 5 7 8 28 9 10 11 6 deck = Columns 1 through 16 9 10 11 6 27 25 4 5 7 8 28 12 13 14 15 16 Columns 17 through 28 17 18 19 20 21 22 23 24 26 1 2 3 deck = Columns 1 through 16 6 27 25 4 5 7 8 28 12 13 14 15 16 17 18 19 Columns 17 through 28 20 21 22 23 24 26 1 2 9 10 11 3 out = 3 22 9 4 23 7 0 0 0 0 deck = Columns 1 through 16 6 25 27 4 5 7 8 28 12 13 14 15 16 17 18 19 Columns 17 through 28 20 21 22 23 24 26 1 2 9 10 11 3 j2 = 8 deck = Columns 1 through 16 6 25 27 4 5 7 8 12 13 28 14 15 16 17 18 19 Columns 17 through 28 20 21 22 23 24 26 1 2 9 10 11 3 deck = Columns 1 through 16 14 15 16 17 18 19 20 21 22 23 24 26 1 2 9 10 Columns 17 through 28 11 3 27 4 5 7 8 12 13 28 6 25 deck = Columns 1 through 16 28 6 14 15 16 17 18 19 20 21 22 23 24 26 1 2 Columns 17 through 28 9 10 11 3 27 4 5 7 8 12 13 25 out = 3 22 9 4 23 7 25 0 0 0 deck = Columns 1 through 16 28 6 14 15 16 17 18 19 20 21 22 23 24 26 1 2 Columns 17 through 28 9 10 11 3 4 27 5 7 8 12 13 25 j2 = 1 deck = Columns 1 through 16 6 14 28 15 16 17 18 19 20 21 22 23 24 26 1 2 Columns 17 through 28 9 10 11 3 4 27 5 7 8 12 13 25 deck = Columns 1 through 16 5 7 8 12 13 25 28 15 16 17 18 19 20 21 22 23 Columns 17 through 28 24 26 1 2 9 10 11 3 4 27 6 14 deck = Columns 1 through 16 22 23 24 26 1 2 9 10 11 3 4 27 6 5 7 8 Columns 17 through 28 12 13 25 28 15 16 17 18 19 20 21 14 out = 3 22 9 4 23 7 25 16 0 0 deck = Columns 1 through 16 22 23 24 26 1 2 9 10 11 3 4 6 27 5 7 8 Columns 17 through 28 12 13 25 28 15 16 17 18 19 20 21 14 j2 = 20 deck = Columns 1 through 16 22 23 24 26 1 2 9 10 11 3 4 6 27 5 7 8 Columns 17 through 28 12 13 25 15 16 28 17 18 19 20 21 14 deck = Columns 1 through 16 17 18 19 20 21 14 27 5 7 8 12 13 25 15 16 28 Columns 17 through 28 22 23 24 26 1 2 9 10 11 3 4 6 deck = Columns 1 through 16 27 5 7 8 12 13 25 15 16 28 22 23 24 26 1 2 Columns 17 through 28 9 10 11 3 4 17 18 19 20 21 14 6 out = 3 22 9 4 23 7 25 16 14 0 deck = Columns 1 through 16 5 27 7 8 12 13 25 15 16 28 22 23 24 26 1 2 Columns 17 through 28 9 10 11 3 4 17 18 19 20 21 14 6 j2 = 10 deck = Columns 1 through 16 5 27 7 8 12 13 25 15 16 22 23 28 24 26 1 2 Columns 17 through 28 9 10 11 3 4 17 18 19 20 21 14 6 deck = Columns 1 through 16 24 26 1 2 9 10 11 3 4 17 18 19 20 21 14 6 Columns 17 through 28 27 7 8 12 13 25 15 16 22 23 28 5 deck = Columns 1 through 16 10 11 3 4 17 18 19 20 21 14 6 27 7 8 12 13 Columns 17 through 28 25 15 16 22 23 28 24 26 1 2 9 5 out = 3 22 9 4 23 7 25 16 14 14

3   Pass
%% deck = 1:28; n = 9; out = [3 22 9 4 23 7 25 16 14]; assert(isequal(solitaire(deck, n),out))

deck = Columns 1 through 16 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 Columns 17 through 28 17 18 19 20 21 22 23 24 25 26 28 27 j2 = 27 deck = Columns 1 through 16 1 28 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Columns 17 through 28 16 17 18 19 20 21 22 23 24 25 26 27 deck = Columns 1 through 16 28 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 Columns 17 through 28 17 18 19 20 21 22 23 24 25 26 27 1 deck = Columns 1 through 16 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 Columns 17 through 28 18 19 20 21 22 23 24 25 26 27 28 1 out = 3 0 0 0 0 0 0 0 0 deck = Columns 1 through 16 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 Columns 17 through 28 18 19 20 21 22 23 24 25 26 28 27 1 j2 = 26 deck = Columns 1 through 16 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 Columns 17 through 28 18 19 20 21 22 23 24 25 26 27 1 28 deck = Columns 1 through 16 27 1 28 2 3 4 5 6 7 8 9 10 11 12 13 14 Columns 17 through 28 15 16 17 18 19 20 21 22 23 24 25 26 deck = Columns 1 through 16 25 27 1 28 2 3 4 5 6 7 8 9 10 11 12 13 Columns 17 through 28 14 15 16 17 18 19 20 21 22 23 24 26 out = 3 22 0 0 0 0 0 0 0 deck = Columns 1 through 16 25 1 27 28 2 3 4 5 6 7 8 9 10 11 12 13 Columns 17 through 28 14 15 16 17 18 19 20 21 22 23 24 26 j2 = 4 deck = Columns 1 through 16 25 1 27 2 3 28 4 5 6 7 8 9 10 11 12 13 Columns 17 through 28 14 15 16 17 18 19 20 21 22 23 24 26 deck = Columns 1 through 16 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 Columns 17 through 28 20 21 22 23 24 26 27 2 3 28 25 1 deck = Columns 1 through 16 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 Columns 17 through 28 21 22 23 24 26 27 2 3 28 25 4 1 out = 3 22 9 0 0 0 0 0 0 deck = Columns 1 through 16 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 Columns 17 through 28 21 22 23 24 26 2 27 3 28 25 4 1 j2 = 25 deck = Columns 1 through 16 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 Columns 17 through 28 21 22 23 24 26 2 27 3 25 4 28 1 deck = Columns 1 through 16 1 27 3 25 4 28 5 6 7 8 9 10 11 12 13 14 Columns 17 through 28 15 16 17 18 19 20 21 22 23 24 26 2 deck = Columns 1 through 16 3 25 4 28 5 6 7 8 9 10 11 12 13 14 15 16 Columns 17 through 28 17 18 19 20 21 22 23 24 26 1 27 2 out = 3 22 9 4 0 0 0 0 0 deck = Columns 1 through 16 3 25 4 28 5 6 7 8 9 10 11 12 13 14 15 16 Columns 17 through 28 17 18 19 20 21 22 23 24 26 1 2 27 j2 = 4 deck = Columns 1 through 16 3 25 4 5 6 28 7 8 9 10 11 12 13 14 15 16 Columns 17 through 28 17 18 19 20 21 22 23 24 26 1 2 27 deck = Columns 1 through 16 28 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 Columns 17 through 28 22 23 24 26 1 2 27 3 25 4 5 6 deck = Columns 1 through 16 12 13 14 15 16 17 18 19 20 21 22 23 24 26 1 2 Columns 17 through 28 27 3 25 4 5 28 7 8 9 10 11 6 out = 3 22 9 4 23 0 0 0 0 deck = Columns 1 through 16 12 13 14 15 16 17 18 19 20 21 22 23 24 26 1 2 Columns 17 through 28 3 27 25 4 5 28 7 8 9 10 11 6 j2 = 22 deck = Columns 1 through 16 12 13 14 15 16 17 18 19 20 21 22 23 24 26 1 2 Columns 17 through 28 3 27 25 4 5 7 8 28 9 10 11 6 deck = Columns 1 through 16 9 10 11 6 27 25 4 5 7 8 28 12 13 14 15 16 Columns 17 through 28 17 18 19 20 21 22 23 24 26 1 2 3 deck = Columns 1 through 16 6 27 25 4 5 7 8 28 12 13 14 15 16 17 18 19 Columns 17 through 28 20 21 22 23 24 26 1 2 9 10 11 3 out = 3 22 9 4 23 7 0 0 0 deck = Columns 1 through 16 6 25 27 4 5 7 8 28 12 13 14 15 16 17 18 19 Columns 17 through 28 20 21 22 23 24 26 1 2 9 10 11 3 j2 = 8 deck = Columns 1 through 16 6 25 27 4 5 7 8 12 13 28 14 15 16 17 18 19 Columns 17 through 28 20 21 22 23 24 26 1 2 9 10 11 3 deck = Columns 1 through 16 14 15 16 17 18 19 20 21 22 23 24 26 1 2 9 10 Columns 17 through 28 11 3 27 4 5 7 8 12 13 28 6 25 deck = Columns 1 through 16 28 6 14 15 16 17 18 19 20 21 22 23 24 26 1 2 Columns 17 through 28 9 10 11 3 27 4 5 7 8 12 13 25 out = 3 22 9 4 23 7 25 0 0 deck = Columns 1 through 16 28 6 14 15 16 17 18 19 20 21 22 23 24 26 1 2 Columns 17 through 28 9 10 11 3 4 27 5 7 8 12 13 25 j2 = 1 deck = Columns 1 through 16 6 14 28 15 16 17 18 19 20 21 22 23 24 26 1 2 Columns 17 through 28 9 10 11 3 4 27 5 7 8 12 13 25 deck = Columns 1 through 16 5 7 8 12 13 25 28 15 16 17 18 19 20 21 22 23 Columns 17 through 28 24 26 1 2 9 10 11 3 4 27 6 14 deck = Columns 1 through 16 22 23 24 26 1 2 9 10 11 3 4 27 6 5 7 8 Columns 17 through 28 12 13 25 28 15 16 17 18 19 20 21 14 out = 3 22 9 4 23 7 25 16 0 deck = Columns 1 through 16 22 23 24 26 1 2 9 10 11 3 4 6 27 5 7 8 Columns 17 through 28 12 13 25 28 15 16 17 18 19 20 21 14 j2 = 20 deck = Columns 1 through 16 22 23 24 26 1 2 9 10 11 3 4 6 27 5 7 8 Columns 17 through 28 12 13 25 15 16 28 17 18 19 20 21 14 deck = Columns 1 through 16 17 18 19 20 21 14 27 5 7 8 12 13 25 15 16 28 Columns 17 through 28 22 23 24 26 1 2 9 10 11 3 4 6 deck = Columns 1 through 16 27 5 7 8 12 13 25 15 16 28 22 23 24 26 1 2 Columns 17 through 28 9 10 11 3 4 17 18 19 20 21 14 6 out = 3 22 9 4 23 7 25 16 14