Christmas Pentominoes

by Will Power by Will Power

CASE 2697

Christmas Pentominoes

Not graded yet

The brief

The set of numbers, from 1-9 each appear exactly 9 times in the grid. All numbers appear once each in all columns. The only 4 pairs of numbers that appear more than once in rows are given. There is no constraint for 3x3 boxes. Numbers in all pentominoes sum to 25 (Merry Christmas). No numbers repeat in the same pentomino. Pentominoes of the same shape have the same set of digits. No pentominoes of different shapes have the same set of digits. The highest and lowest digits in each pentomino are given. Hint: I have used 11 out of the following 12 possible combinations of digits in the puzzle. 12589, 12679, 13489, 13579, 13678, 14569, 14578, 23479, 23569, 23578, 24568, and 34567.

252525252525252525252525252525252891891928891133219917287719291871928