Sudoku Kropki
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9
8
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1
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8
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6
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1
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9
8
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7
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Erreurs
0/3
Score
-
Temps
00:00
Progrès0%
Facile · Sudoku Kropki
Changez la difficulté ci-dessus ↑
Comment jouer au Sudoku Kropki
Les règles standard du Sudoku s'appliquent. Point noir entre deux cellules adjacentes : un chiffre est exactement le double de l'autre. Point blanc : les deux chiffres sont consécutifs (diffèrent de 1). Pas de point : aucune condition ne s'applique.
Guide complet →
Points blancs = chiffres consécutifs ; points noirs = un chiffre est le double de l'autre
Sudoku Kropki Facile
Sudoku Kropki Moyen
Sudoku Kropki Difficile
Sudoku Kropki Expert
Qu'est-ce que Sudoku Kropki ?
Le Kropki Sudoku place des points entre des paires de cellules adjacentes. Un point blanc signifie que les deux chiffres diffèrent exactement de 1 (consécutifs). Un point noir signifie qu'un chiffre est exactement le double de l'autre (par exemple, 2 et 4, ou 3 et 6). Là où aucun point n'apparaît, aucune des deux conditions ne s'applique. Certains puzzles Kropki utilisent la 'contrainte négative' où l'absence d'un point garantit qu'aucune des deux conditions n'est vraie, donnant encore plus d'informations.
En un coup d'œil
| Type de contrainte | Relations entre cellules |
| Indices typiques | 18–24 |
| Évaluation de la difficulté | ★★★☆☆ 3/5 |
| Temps de résolution moyen — Facile | 8 min |
| Temps de résolution moyen — Moyen | 18 min |
| Temps de résolution moyen — Difficile | 35 min |
| Temps de résolution moyen — Expert | 62 min |
Comment résoudre Sudoku Kropki
| Technique | Ce qu'il fait | Niveau |
|---|---|---|
| White Dot Pairs | White dots mark consecutive digit pairs: (1,2), (2,3), …, (8,9). Cross-reference with row and column constraints. | Avancé |
| Black Dot Pairs | Black dots mark double-relationship pairs: (1,2), (2,4), (3,6), (4,8). Only these four combinations are valid. | Avancé |
| Negative Constraint | No dot between two cells means they are neither consecutive nor in a 1:2 ratio — a powerful elimination on every unmarked adjacent pair. | Avancé |
| Dot Chain Analysis | A sequence of connected dots forms a digit-value chain. Enumerate valid digit sequences for the entire chain simultaneously. | Avancé |
| 1-2-4 and 2-4-8 Chains | A black dot adjacent to a white dot often forces the common 1→2→4 or 2→4→8 chain. | Avancé |
Temps de résolution moyens
Facile
8 min
Moyen
18 min
Difficile
35 min
Expert
62 min
Foire aux questions
Qu'est-ce que Kropki Sudoku ?
Kropki Sudoku is a variant where dots appear between adjacent cells. A black dot means one of the two cells holds exactly double the value of the other. A white dot means the two cells hold consecutive digits (differing by 1). Standard Sudoku rules apply, and crucially: if there is no dot between two adjacent cells, they are guaranteed NOT to be consecutive and NOT to have a double relationship.
What does a black dot mean?
A black dot between two cells means one digit is exactly twice the other. For example: 1&2, 2&4, 3&6, 4&8. Note that 1&2 satisfies both black (1×2=2) and white (|2-1|=1) conditions — in Kropki Sudoku, a black dot is used when only the doubling relationship holds, not the consecutive one, unless specified otherwise.
What does a white dot mean?
A white dot between two cells means the digits differ by exactly 1: they are consecutive. Valid pairs are 1&2, 2&3, 3&4, 4&5, 5&6, 6&7, 7&8, 8&9. The order doesn't matter — either cell can hold the higher or lower digit.
How does the no-dot constraint work?
In standard Kropki Sudoku, every possible black dot and white dot relationship is marked. This means that if no dot appears between two adjacent cells, you can be certain those cells are neither consecutive nor in a 1:2 ratio. This negative information is just as powerful as the positive dot clues.
Is Kropki Sudoku harder than regular Sudoku?
Easy Kropki puzzles are accessible and make excellent teaching tools for the variant. Hard and expert puzzles are significantly more challenging than classic Sudoku because you must simultaneously track dot relationships and the negative no-dot constraint across every pair of adjacent cells.
How long does Kropki Sudoku take to solve?
Easy puzzles take 8–18 minutes. Medium puzzles run 18–35 minutes. Hard puzzles average 35–65 minutes and expert puzzles often exceed 90 minutes. Mastering the no-dot constraint is the key to faster solve times at all levels.