Yukendo.

Math in a cage.

Every number exactly once per row and column. The numbers in a cage combine with the operation in its corner to the target – for − and ÷ the larger one first.

g h

  – Groschen 0:00

How to play.

Open as a page

Yukendo

The goal

The grid is 4×4 to 9×9. Every row and every column holds each number from 1 up to the grid size exactly once – on a 6×6, that's 1 to 6. There are no boxes; instead the grid is split into cages with a thick outline.

The cages

The corner of each cage shows a target and an operation. The numbers in the cage have to make the target with it:

  • 7+34added up: 3 + 4 = 7
  • 12×34multiplied: 3 × 4 = 12
  • 1−12difference: 2 − 1 = 1
  • 2÷42divided: 4 ÷ 2 = 2

With − and ÷ a cage always has two cells, and you always take the larger number first – which one sits where doesn't matter. A number may appear twice in a cage, as long as not in the same row or column. A cell without an operation is given.

An example

The puzzle
Its only solution

How to start

  1. Cages with few options. “3+” in two cells can only be 1 and 2; “12×” on a 4×4 only 3 and 4. Row and column tell you which goes where.
  2. Rule things out. A number that's already in a row can't appear there again – just like in Sudoku.
  3. Notes. Write the possible numbers into the cells as small notes and cross them off step by step.
  4. The row total. Every row adds up to the same: 1 + 2 + … up to the size, so 21 on a 6×6. Handy for long plus cages.

Easy uses only +, Medium + and −, from Hard on all four operations. Start with 4×4 or 5×5.

Playing here

Playing here

  • Fill in: tap a cell (or move with the arrow keys), then pick a number on the pad or keyboard. The same number again clears it.
  • Notes (N or ✎) switches to small pencil marks; Undo (Z) takes back the last step.
  • Three modes: Relaxed checks every number right away; Show mistakes marks duplicate numbers (and wrong cages) red; Like on paper marks nothing – you check at the end. The less help, the more Groschen.
  • Stuck? Check (1 Groschen) tells you if a number is right, Reveal (3 Groschen) shows the right one.

Keyboard

1–9
Put a number in the selected cell
← → ↑ ↓
Move between cells
N
Notes
Z
Undo
⌫
Erase
? · g h
This guide
g s · g y · g e
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