The objective of the puzzle is to insert a digit from 1 to 9 inclusive into each white cell such that the sum of the numbers in each entry matches the clue associated with it and that no digit is duplicated in any entry. It is that lack of duplication that makes creating Kakuro puzzles with unique solutions possible, and which means solving a Kakuro puzzle involves investigating combinations more, compared to Sudoku in which the focus is on permutations.
Killer sudoku (also killer su doku, sumdoku, sum doku, sumoku, addoku, or samunamupure) is a puzzle that combines elements of sudoku and kakuro. Despite the name, the simpler killer sudokus can be easier to solve than regular sudokus, depending on the solver’s skill at mental arithmetic; the hardest ones, however, can take hours to crack.
The objective is to fill the grid with numbers from 1 to 9 in a way that the following conditions are met:
Each row, column, and nonet contains each number exactly once.
The sum of all numbers in a cage must match the small number printed in its corner.
As in Sudoku, the goal of each puzzle is to fill a grid with digits –– 1 through 9 for a 9×9 grid –– so that no digit appears more than once in any row or any column (a Latin square). Additionally, KenKen grids are divided into heavily outlined groups of cells –– often called “cages” –– and the numbers in the cells of each cage must produce a certain “target” number when combined using a specified mathematical operation (one of addition, subtraction, multiplication or division). Digits may be repeated within a cage, as long as they are not in the same row or column.
The puzzle is played on a square grid. The objective is to place the numbers such that each row and column contains only one of each digit. Some digits may be given at the start. Inequality constraints are initially specified between some of the squares, such that one must be higher or lower than its neighbor. These constraints must be honored in order to complete the puzzle.
Solving the puzzle requires a combination of logical techniques. Numbers in each row and column restrict the number of possible values for each position, as do the inequalities.
Once the table of possibilities has been determined, a crucial tactic to solve the puzzle involves “AB elimination”, in which subsets are identified within a row whose range of values can be determined. For example, if the first two squares within a row must contain 1 or 2, then these numbers can be excluded from the remaining squares. Similarly, if the first three squares must contain 1 or 2; 1 or 3; and 1 or 2 or 3, then those remaining must contain other values (4 and 5 in a 5×5 puzzle).
A crossword is a word puzzle that usually takes the form of a square or a rectangular grid of white-and black-shaded squares. The game’s goal is to fill the white squares with letters, forming words or phrases, by solving clues, which lead to the answers.The shaded squares are used to separate the words or phrases.
Sudoku originally called Number Place is a logic-based, combinatorial number-placement puzzle. The objective is to fill a 9×9 grid with digits so that each column, each row, and each of the nine 3×3 subgrids that compose the grid (also called “boxes”, “blocks”, or “regions”) contain all of the digits from 1 to 9.
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