A 9x9 Killer Sudoku puzzle
A 9x9 Killer Sudoku puzzle

KILLER SUDOKU

Welcome to the crime scene. Killer Sudoku, also known as Samunamupure, is a challenging variant of Sudoku that combines classically structured Sudoku with Kendoku.

Killer Sudoku intensively promotes mental arithmetic and logical understanding in players.

Terms

Cages or Killer Groups

A killer group is a cohesive group of cells. These groups are independent of other structures on the Sudoku board and can span multiple boxes.

Groups do not contain duplicate numbers. Depending on the level of difficulty, they contain between 2 and 5 cells.

Clicking on a cell highlights the group it is in.

For each group, the sum of its individual numbers is known. In addition, Killer Sudokus contain no or only a few specifications, depending on the situation.

Example: In a Killer group with three cells whose sum is 6, only the numbers 1, 2, and 3 are located. All other additions would not result in 6.

In addition, with a killer group it can be assumed that for the area that lies within the same box, the total sum of all the numbers already revealed, the cells that belong to the group and the other cells cannot exceed the value of all cells in the box (in the case of a 3x3 box the sum is 45). This may allow assumptions to be made about the possible value of the cells located in another box.

Cages or Killer Groups

A killer group is a cohesive group of cells. These groups are independent of other structures on the Sudoku board and can span multiple boxes.

Groups do not contain duplicate numbers. Depending on the level of difficulty, they contain between 2 and 5 cells.

Clicking on a cell highlights the group it is in.

For each group, the sum of its individual numbers is known. In addition, Killer Sudokus contain no or only a few specifications, depending on the situation.

Example: In a Killer group with three cells whose sum is 6, only the numbers 1, 2, and 3 are located. All other additions would not result in 6.

In addition, with a killer group it can be assumed that for the area that lies within the same box, the total sum of all the numbers already revealed, the cells that belong to the group and the other cells cannot exceed the value of all cells in the box (in the case of a 3x3 box the sum is 45). This may allow assumptions to be made about the possible value of the cells located in another box.

Givens and revealed cells

On a Sudoku board, the numbers in the cells are either given or have to be revealed by the players.

Givens and revealed cells

On a Sudoku board, the numbers in the cells are either given or have to be revealed by the players.

Boxes, Columns, Rows, and Cells

All other elements of Killer Sudoku correspond to those of the classic Sudoku. You can find an explanation of these terms in the game instructions for Classic Sudokus.

Boxes, Columns, Rows, and Cells

All other elements of Killer Sudoku correspond to those of the classic Sudoku. You can find an explanation of these terms in the game instructions for Classic Sudokus.

Rules

Killer Sudokus following the Standard Sudokus Rules solution. However, they differ in terms of their requirements and therefore also how a Killer Sudoku can be solved.

In most cases, with this variant, some of the Killer groups have to be solved first.

Killer Sudokus following the Standard Sudokus Rules solution. However, they differ in terms of their requirements and therefore also how a Killer Sudoku can be solved.

In most cases, with this variant, some of the Killer groups have to be solved first.

Solution strategies

These strategies can help you approach Killer Sudoku puzzles efficiently, leading to logical deductions and a smoother solving experience.

Starting Strategies

  • Begin with extreme sums: Start with cages having the largest or smallest sums as they have the fewest possible combinations.
  • Look for low-sum or high-sum cages forming a 'straight line' in the early stages, allowing cross-hatching to begin.

Starting Strategies

  • Begin with extreme sums: Start with cages having the largest or smallest sums as they have the fewest possible combinations.
  • Look for low-sum or high-sum cages forming a 'straight line' in the early stages, allowing cross-hatching to begin.

The Rule of 45

  • Understand that the sum of numbers in rows, columns, and boxes equals 45.
  • Deduce single cell values by adding up cages and single numbers in a particular box.
  • Use clock arithmetic for quick calculations or verifications.

The Rule of 45

  • Understand that the sum of numbers in rows, columns, and boxes equals 45.
  • Deduce single cell values by adding up cages and single numbers in a particular box.
  • Use clock arithmetic for quick calculations or verifications.

Clock Arithmetic

  • Apply clock arithmetic to simplify calculations or checks for single 'innies' or 'outies' on multiple cages.

Clock Arithmetic

  • Apply clock arithmetic to simplify calculations or checks for single 'innies' or 'outies' on multiple cages.

Consistent Numbers within Combinations

  • Identify numbers consistent within all possible solutions, even when a cage has multiple combinations.
  • Use this knowledge to exclude or include certain numbers within the cage.

Consistent Numbers within Combinations

  • Identify numbers consistent within all possible solutions, even when a cage has multiple combinations.
  • Use this knowledge to exclude or include certain numbers within the cage.

Complements

  • Correlate combinations of larger cages with their complementary smaller cages to simplify deductions.

Complements

  • Correlate combinations of larger cages with their complementary smaller cages to simplify deductions.

Sample Problem Analysis

  • The top-left cells are 1+2. The adjacent cells totaling 15 can be 3+4+8, 3+5+7, or 4+5+6.
  • The top-right box contains 1+3, leading to deductions for neighboring cells.
  • A 3-cage of 6 implies the cell must contain 3, aiding in the deduction of other cells.
  • Use complements to deduce missing numbers in larger cages based on smaller cage values.

Sample Problem Analysis

  • The top-left cells are 1+2. The adjacent cells totaling 15 can be 3+4+8, 3+5+7, or 4+5+6.
  • The top-right box contains 1+3, leading to deductions for neighboring cells.
  • A 3-cage of 6 implies the cell must contain 3, aiding in the deduction of other cells.
  • Use complements to deduce missing numbers in larger cages based on smaller cage values.

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