Logic Masters Deutschland e.V.

The 'holes' inside certain letters and numbers are called "Counters". The numbers 4, 6, 9, 0 each have 1 counter, and 8 has 2 counters.

This sudoku is all about counters. Normal killer sudoku rules apply, with a few important additional rules:

• Every cage contains exactly three counters within both its cells, and the numbers in the sum itself. For example:
• A cage could contain the numbers 3469 which add up to 22, and there are three counters (the 4, 6, and 9)
• A cage could contain the numbers 4 and 6 which adds up to 10, and there are three counters (the 4, 6, and 0 in 10)
• A cage could contain the numbers 4 and 8 which adds up to 12, and there are three counters (the 4, and two from 8)
• The three counter symbol that shows in each cage is always in the largest cell in that cage.
• In purple around the outside of rows and columns, every row or column where the digits and sum of a sandwich (between 1 and 9) contains 3 counters the symbol is shown. (The counter in the 9 would not be counted, of course.)
• In green around the outside are little killer clues along every diagonal that contains three counters in both the sum and cells. Note, digits can repeat along little killer diagonals, so a diagonal of 4, 5, 3, 4 = 16 would be marked.

Oh, and one more thing, you'll need to figure out where all the cage sums belong. At least you know what they are.