COL.1            COL.2       COL.3       COL.4       COL.5  COL.6

ROW 1   [6x1, 3x3, 1x7]  [5x1, 2x3]  [4x1, 1x7]  [3x1]       [2x5]  [1x7]
ROW 2   [3x2, 1x6]       [2x2]       [1x6]       []          [2x4]  [1x6]
ROW 3   [6x1, 1x5]       [5x1]       [4x3, 2x5]  [3x3, 1x5]  [2x3]  [1x5]
ROW 4   [1x4]            []          [4x2, 2x4]  [3x2, 1x4]  [2x2]  [1x4]
ROW 5   [6x1, 4x3]       [5x1, 3x3]  [4x1, 2x3]  [3x1, 1x3]  [2x1]  [1x3]
ROW 6   [4x2]            [3x2]       [2x2]       [1x2]       []     [1x2]
ROW 7   [6x1]            [5x1]       [4x1]       [3x1]       [2x1]  [1x1]

6x1, 5x1, 4x1, 3x3, 3x2, 3x1, 2x3, 2x2, 2x1, 1x7, 1x6, 1x5, 1x4, 1x3, 1x2, 1x1