Kropki

Kropki was invented by Vladimir Portugalov (Belarus) in 2005.
The name Kropki comes from the Belarusian word кропкі, meaning “dots”.

The puzzle first appeared in a Forsmarts contest in the form of an instructionless puzzle, leaving solvers to infer its rules from examples. The name Kropki was likely introduced when the genre appeared at the World Puzzle Championship 2006 (Part 2).

Kropki quickly became popular thanks to its simple but expressive clue system:
- a black dot between two digits indicates that one is twice the other;
- a white dot indicates that the digits differ by 1.

These elegant constraints inspired numerous variants and crossovers, and Kropki rules have since been incorporated into many other puzzle types, especially within the world of Sudoku and hybrid logic puzzles.

Rules

Fill in the grid with digits from 1 to 6 putting one digit per a cell. Each row and column should contain every digit exactly once. If two consecutive digits appear in two neighboring cells, they are separated by a white dot. If the digit in a cell is half of the digit in the neighboring cell, then they are marked by a black dot. The dot between 1 and 2 can either be white or be black.

Click to see the answer.

Best puzzles

Hardest puzzles