9×9 · Medium to expert

Sandwich Sudoku

Border clues tell you the sum of the digits sandwiched between the 1 and the 9 in each row and column.

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About sandwich

What sandwich sudoku feels like.

Sandwich sudoku adds a clever arithmetic twist made popular by online puzzle channels. Numbers printed outside the grid tell you the sum of all digits that sit between the 1 and the 9 in that row or column — the digits 'sandwiched' between them. Classic sudoku rules still apply; the sandwich clues replace most starting digits.

Rules

  1. Standard sudoku rules apply: each digit 1–9 appears once per row, column, and 3×3 box.
  2. A clue outside a row or column gives the sum of the digits between the 1 and the 9 in that line.
  3. A clue of 0 means the 1 and the 9 are adjacent, with nothing between them.
  4. The 1 and 9 can appear in either order along the line.

History

Sandwich sudoku was popularised around 2019 through online solving channels and quickly became a staple of variant-sudoku competitions.

Key rule
Clues give the sum of digits between the 1 and the 9 in each line
Difficulty range
Medium to expert
Tips
  • Start with 0 and small clues — they pin the 1 and 9 close together.
  • Large clues like 35 force the 1 and 9 far apart, near the ends of the line.
  • List the digit combinations that add to each sum, then place them like a mini puzzle.

Sandwich Sudoku FAQ

What is sandwich sudoku?

Sandwich sudoku is a variant where clues outside the grid give the sum of the digits located between the 1 and the 9 in each row and column. You solve it with normal sudoku rules plus these sandwich-sum constraints.

What does a sandwich clue of 0 mean?

A 0 means there are no digits between the 1 and the 9 — they are directly next to each other in that row or column.

How do you solve sandwich sudoku?

Begin with the smallest clues (especially 0) and the largest ones, since they most tightly constrain where the 1 and 9 sit. Work out the digit combinations that sum to each clue, then combine them with standard sudoku logic.

Is sandwich sudoku hard?

It ranges from medium to expert. The arithmetic adds a layer, but the sums also give powerful constraints, so a well-set sandwich sudoku is very satisfying to crack.