Calcudoku

Solve the unique grid that satisfies all Latin-square restrictions and every cage operation simultaneously.

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How to play

Solve the unique grid that satisfies all Latin-square restrictions and every cage operation simultaneously.

  • The grid is partitioned into connected cages labeled with a target and one of addition, multiplication, subtraction, division, or equality. Values range from one through four.
  • Enter one through four so each value appears once per row and column. Every cage must evaluate to its target; subtraction and division cages contain two cells, while equality cages are fixed singles.
  • Solve the unique grid that satisfies all Latin-square restrictions and every cage operation simultaneously.

Strategy tips

  • List the possible tuples for the most restrictive cages, especially division, subtraction, and single-cell cages, then remove tuples that repeat a value in a shared row or column.
  • A cage combination can hit its target yet still be illegal because two of its cells duplicate a value in the same row or column.
  • Use the remaining row and column candidates to settle the last cage, then recompute every arithmetic target rather than relying only on the Latin pattern.

Complete guide

Rules, scoring, and strategy

Calcudoku is a complete browser implementation with its own versioned rules profile. Fill a four-by-four Latin square whose connected cages must also reach their printed arithmetic targets.

Setup and opening position

The grid is partitioned into connected cages labeled with a target and one of addition, multiplication, subtraction, division, or equality. Values range from one through four.

Legal moves and game flow

Enter one through four so each value appears once per row and column. Every cage must evaluate to its target; subtraction and division cages contain two cells, while equality cages are fixed singles.

Winning and terminal positions

Solve the unique grid that satisfies all Latin-square restrictions and every cage operation simultaneously. Use the remaining row and column candidates to settle the last cage, then recompute every arithmetic target rather than relying only on the Latin pattern.

Practical strategy

List the possible tuples for the most restrictive cages, especially division, subtraction, and single-cell cages, then remove tuples that repeat a value in a shared row or column. A cage combination can hit its target yet still be illegal because two of its cells duplicate a value in the same row or column.

Questions players ask

What is the objective in Calcudoku?

Solve the unique grid that satisfies all Latin-square restrictions and every cage operation simultaneously.

Which moves are legal in Calcudoku?

Enter one through four so each value appears once per row and column. Every cage must evaluate to its target; subtraction and division cages contain two cells, while equality cages are fixed singles.

What should I plan first in Calcudoku?

List the possible tuples for the most restrictive cages, especially division, subtraction, and single-cell cages, then remove tuples that repeat a value in a shared row or column.