Killer Sudoku Combinations Calculator
Killer Sudoku Combinations Calculator
Work out the exact no-repeat digit sets for a killer sudoku cage. Set the cage size, lock the target sum, and get sorted combinations that obey the 1 to 9 rule.
1At-a-Glance Cage View
0Unique combos
How many sorted sets match the cage sum.
0Ordered fills
Every combo can be arranged across the cage cells.
0%Constraint fit
Share of all possible cages that survive the sum check.
-Hottest digit
The digit that appears most often across all answers.
2How The Cage Is Counted
Unique digits only
Killer sudoku cages are sorted combinations, not permutations. The same digits in a different order count as one answer.
1 <= digit <= 9 and no digit repeats inside the cageExact sum target
The cage total must match the clue exactly. The calculator prunes impossible branches before listing the final sets.
a + b + c + ... = target sumOrdered fill count
Once a combination is known, the cells can be arranged in every order because each digit is distinct.
ordered fills = unique combinations x cage size!3Preset Cages
4Calculator Inputs
Combos found0sorted digit sets
Ordered fills0cell arrangements
Average digit0.00mean digit value
Digit coverage0digits used at least once
5Solver Snapshot
6Digit Heat
| Digit | Appearances | Share |
|---|
7Combination List
| # | Combination | Span | Permutations | Solver note |
|---|
Killer Sudoku are funny number puzzle between the Sudoku-type puzzles. Killing combination is the set of all possible number groups that fit in a cage and reach its clear amount without repeat of numbers. Because of the rules of Killer Sudoku, any number repeats in any cage.
This rule counts also when cage goes through several 3×3 boxes. Knowing all such combinations naturally belongs to the process of solving those puzzles. Most times it helps to start by means of the big amounts.
How to Find Numbers in Killer Sudoku Cages
Cages with the biggest or smallest amounts work well to start because they have the fewest possible combinations.
For any cage size of two until seven cells, there are four amounts that only one single combination of numbers fills. Two from them are at the low end and two at the high end. For instance, 3-cell cages with only one combination stores 6=1+2+3, 7=1+2+4, 23=9+8+6 and 24=9+8+7.
In two-cell cage with amount 3 the only chance is 2+1. For two-cell cage with amount 4 it is 3+1. Other single combinations are 16=9+7 and 17=9+8.
Five-cell cage with amount 34 only can be with 4, 6, 7, 8 and 9. If two-cell cage has amount 6, the possible pairs are 1 and 5 or 2 and 4.
One of the most useful secrets is the 45 rule. Every block, row or column must store all numbers from 1 until 9, what gives total amount 45. From that you can subtract cage amounts and find extra numbers.
That same goes for several rows, columns or boxes, that forms blocks of 45.
Do not exist simple way to find all possible combinations. The best mode is try and mistake with the numbers but calculator helps much more. Combination calculator shows all fit choices that adds up to a number in a box.
They help to remove wrong combinations more easily. Some tools leave you enter the number of numbers in cage and say which numbers include or exclude to find possible answers. Those tools work 9×9 and 6×6 Sudoku layouts.
