Logic Masters Deutschland e.V.

This puzzle was originally intended for the Logic Masters 2024, but was not used after all.

Enter numbers from 1 to 9 into the white cells. The numbers in the gray cells indicate the sum of the numbers in the adjacent horizontal or vertical group of white cells to the right or below. Each number can appear at most once in each such group.

The following also applies: Equal sums formed from the same number of summands may not use exactly the same summands. For example, if the puzzle contains the sum 5 twice from two summands, this sum must be formed once as 1+4 and once as 2+3 (in any order).

Note: For your convenience, for some sums used multiple times in the puzzle, all possible number combinations are given.

Here is a PDF with all LM 2024 Leftovers to download.

Link to online solving

Sum 8	Sum 12	Sum 16	Sum 21
1 2 5	1 2 9	1 6 9	4 8 9
1 3 4	1 3 8	1 7 8	5 7 9
	1 4 7	2 5 9	6 7 8
	1 5 6	2 6 8
	2 3 7	3 4 9
	2 4 6	3 5 8
	3 4 5	3 6 7
		4 5 7