Mathdoku

Mathdoku (known as KenKen, Calcudoku) is an arithmetic puzzle that combines elements of sudoku and math.

The rules of Mathdoku are complex. If you are new to this puzzle, you are suggested to read the wiki https://en.wikipedia.org/wiki/KenKen for details.


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As in Sudoku, the goal of each puzzle is to fill a grid with digits so that no digit appears more than once in any row or any column (a Latin square). Grids size is 9×9. 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 (either addition, subtraction, multiplication or division). For example, a linear three-cell cage specifying addition and a target number of 6 in a 4×4 puzzle must be satisfied with the digits 1, 2, and 3. Digits may be repeated within a cage, as long as they are not in the same row or column. No operation is relevant for a single-cell cage: placing the "target" in the cell is the only possibility (thus being a "free space"). The target number and operation appear in the upper left-hand corner of the cage.

The objective is to fill the grid in with the digits 1 through 9 such that:

Each row contains exactly one of each digit
Each column contains exactly one of each digit
Each bold-outlined group of cells is a cage containing digits which achieve the specified result using the specified mathematical operation: addition (+), subtraction (−), multiplication (×), and division (÷).

Some of the techniques from Sudoku and Killer Sudoku can be used here, but much of the process involves the listing of all the possible options and eliminating the options one by one as other information requires.