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Claiming sudoku technique

Intermediate level Appears in puzzles rated SE 1.9 – 2.5

Claiming is the mirror image of the pointing pair. This time you scan a row or column: if every place a digit can still occupy on that line falls inside a single 3×3 box, then the line has claimed the digit for those cells. The box must give up the digit everywhere else — its other two mini-rows lose the candidate.

How to find a claiming

  1. Pick a line — a row or a column — and a digit it still needs.
  2. Mark where on the line the digit can go.
  3. If all the marks fall inside one box, erase the digit from the other cells of that box.
  4. Follow up inside the box: the eliminations often leave a hidden single behind.
From the table: Pointing and claiming are two directions of one idea, and mixing them up costs nothing — both say: a digit trapped in the overlap of a line and a box disappears from the rest of both. Solvers who internalise the overlap stop thinking about which name applies.

The pattern on the grid

53471928689623453452513571371571273568439594821976533158267947976945453182182451367151358913914589645713981251357137124579578235354135761257

A real position — every pencil mark computed, every red candidate a verified elimination. Toggle to see the grid after the move.

Locked Candidates (Claiming) on 1 in r9: r9c7, r9c9 => r7c7<>1, r7c8<>1, r7c9<>1, r8c7<>1, r8c8<>1, r8c9<>1
534719286896000000127068400482197653315826040769003020200670000600980000908004060

Standard 81-character format (0 = empty) — paste it into your solver of choice and verify the move yourself.

Worked example

Digit 1 in this position has its candidates at r9c7, r9c9 — the line confines the digit to one box. That intersection must receive the 1, so the remaining candidates fall: r7c7<>1, r7c8<>1, r7c9<>1, r8c7<>1, r8c8<>1, r8c9<>1. Nothing else about the position matters; the overlap alone carries the argument.

When it fails

Do not mix up the direction of the eliminations: claiming clears the BOX (outside the shared cells), pointing clears the LINE. Erasing along the row here would be wrong — the row is the side making the claim.

Related techniques

All solving techniques