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Sandwich Sudoku: rules, strategy and how to start

A sandwich clue is the total of everything between the 1 and the 9 in a row. It sounds like arithmetic; in practice it is a placement puzzle for two digits.

Why the rule changes everything

The first deduction is always the same: find where 1 and 9 can sit. A clue of 0 means they are adjacent; 35 means every other digit lies between them and they must occupy the two ends.

Once 1 and 9 are placed, the clue tells you whether the remaining digits fill a wide or narrow window, which immediately constrains the outer cells of that row.

How to start a board

  1. Handle the extremes first: 0 forces adjacency, 35 forces the ends.
  2. For each clue, list the possible positions of the pair (1, 9) and eliminate using the 1s and 9s already visible in the grid.
  3. Only after placing the pair should you think about the sum itself.

Common mistakes

Frequently asked questions

What is the largest sandwich clue?

35, the sum of 2+3+4+5+6+7+8.

What does a 0 mean?

The 1 and 9 touch, in either order, with nothing between them.

Every board on this site is generated with a uniqueness check, so the puzzle in front of you has exactly one solution and every digit can be proved rather than guessed.

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