Logic Masters Deutschland e.V.

Artificer's Somewich

What happens when you combine sandwich sums with somedokus?
I dunno, let's find out!

• Somedoku: Each cell contains one of the digits from 1-9. Every Nth row and every Nth column each contains N unique digits with the remaining ones being duplicates.
• Minesweeper: Digits in a circle indicate the number of odd digits in its surrounding cells including itself. Additionally, shaded circles must contain odd digits.
• Somewich sums: There are two types of somewiches:
  • a Single Somewich has the form [ H ] {. . .} [ L ] or vice versa;
  • a Double Somewich has the form [ H ] {. . .} [ L ] {. . .} [ H ] or vice versa.
  With H and L respectively referring to the highest and lowest digits in the associated region. (Row, column, or diagonal) The {. . .} digits may contain duplicates of H and L or any digit in the region.
  Clues outside the grid indicate the value of the sum of the {. . .} digits in the longest somewich in the region. Additionally, a clue in a square specifies the longest somewich is a Single, while a clue in a diamond specifies the somewich is a Double.
  (i.e 3 [2] {2 4 5 7 6 2} [7] is a Single Somewich with sum 2+4+5+7+6+2=26; 3 [7] {2 4 5} [2] {7 5} [7] is a Double Somewich with sums 2+4+5+7+5=23)

Play with Sudokupad

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