9×9 · Medium to expert

Arrow Sudoku

The digit in each circle equals the sum of the digits along the arrow attached to it.

835
About arrow

What arrow sudoku feels like.

Arrow sudoku draws circles with arrows trailing from them. The digit in the circle must equal the sum of all the digits the arrow passes through. Because a single cell holds at most 9, the arrow's digits are tightly limited. Standard sudoku rules apply on top of the arrow sums.

Rules

  1. Standard sudoku rules apply: each digit 1–9 appears once per row, column, and 3×3 box.
  2. Each circle contains a digit equal to the sum of the digits along its arrow.
  3. The circled digit is at most 9, so long arrows must use small digits.
  4. Digits may repeat along an arrow only if normal sudoku rules still allow it.

History

Arrow sudoku is a modern favourite of the online variant-sudoku scene, often combined with thermometers and other constraints.

Key rule
The circled digit equals the sum of the digits along its arrow
Difficulty range
Medium to expert
Tips
  • A two-cell arrow summing to a circle means small digits: e.g. 3 = 1 + 2.
  • A three-cell arrow forces very small addends, since they must total at most 9.
  • The circle can never be 1 if its arrow has two or more cells (the minimum sum is 1+2=3).

Arrow Sudoku FAQ

What is arrow sudoku?

Arrow sudoku is a variant where each circled cell must equal the sum of the digits along the arrow drawn from it, in addition to normal sudoku rules.

How do arrows work in sudoku?

The digit inside the circle equals the total of all digits the arrow passes over. Since a cell holds at most 9, longer arrows are forced to use small digits.

How do you solve arrow sudoku?

Work out the digit combinations that can sum to each circle given its arrow length, then place them using standard sudoku scanning. Short arrows with large circle values are the most constrained starting points.

Can the circle be a 1 in arrow sudoku?

Only if its arrow is a single cell. With two or more cells on the arrow, the smallest possible sum is 1 + 2 = 3, so the circle must be at least 3.