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XV Sudoku: rules, strategy and how to start

X means the pair sums to ten, V means it sums to five. Two letters that quietly sort the whole board into low and high digits.

Why the rule changes everything

A V is one of only two pairs — 1-4 or 2-3 — so it is a very small door. Two Vs in the same row can pin a 1 immediately.

An X is wider but still eliminates: it forbids 1-1, 2-2 and pairs that sum to anything else, so a cell with a known 6 forces the neighbour to be 4.

How to start a board

  1. Resolve every V first — there are only four ways to place one and most die instantly.
  2. For X, list the legal partners of each digit: 1↔9, 2↔8, 3↔7, 4↔6, 5↔5. Note that 5-5 is legal unless the cells share a unit.
  3. Work from the edges of the grid inward; the border cells have fewer competing units.

Common mistakes

Frequently asked questions

Can a V pair be 3 and 2 in either order?

Yes, order is irrelevant; only the sum matters.

Does an X have to be adjacent horizontally?

In this board, X and V only appear between orthogonally adjacent cells.

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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