# 1. KenKen (WP) Walkthrough overview

Hi and welcome to the walkthrough for KenKen. Kenken is a puzzle game, invented by a Japanese math teacher. It is also sometimes referred to as Calcudoku and Mathdoku. The puzzle concept is pretty simple and is quite similar to sudoku. You have a grid of 3x3, 4x4, 5x5, 6x6, 7x7, 8x8 or 9x9 columns and rows. In each row and column, you are allowed to place each number once. 3x3 puzzles only use the numbers 1, 2 and 3 and the larger puzzles also use higher numbers, up until the number 9 in 9x9 puzzles. Besides the cells in which you place the numbers, you also have a heavily outlined cells, which are combined into “cages”. Each cage is given a number along with either a x, ÷, - or +. You will need to make sure that all of the numbers you place in the cells, add up to the number placed in the cage. (use only the shown sign). For example a 2-celled cage with a 3+ given, will need a 1 and 2 placed in the cells. A 4-celled with a 32x given, can for example have a 1, 4, 2 and a 4 in it.

As an example, this is a 4x4 puzzle:

The solution to the puzzle is as follows:
2413
1234
3142
4321

As you can see, in every row and column, each number is only present once. In the 7+ cage, 3+3+1=7, in the 16x cage, 4x2x2=16, 3-1=2 in the 2-cage, the 4 can be filled in from the start as it is a one celled cage. Both 4:2 and 2:1 equals 2, and 4x3x1=12.

Although it is nice to try out and some of the puzzles yourself, it is much faster to follow the solutions which will be provided in this walkthrough. It will still take you a lot of hours to fill in all the puzzles, as there are close to a 1000 puzzles in the game, and especially the 9x9 puzzles = 81 cells, will take a while to fill in. My advice would be to have two screens, one displaying the solutions and using the other one to play the game.

The game has 5 “game modes”: Easy, Normal, Hard, Expert and Unsigned. The first 4 should be self-explanatory. Unsigned puzzles don’t use the mathematical symbols. For each cage, you can decide for yourself whether you add, subtract, multiply or divide, as long as you get to the number which is written in the cage. Unsigned puzzles can be found for all grid sizes 3x3 until 9x9. 3x3 puzzles only feature easy puzzles besides that. As the grid size increases, the harder difficulties are also added. From 5x5 on, all 5 difficulties are present. As the grid size increases, the amount of puzzles also increases. Therefore, there is a huge time difference in the amount of time it takes to complete all 3x3 puzzles (about 10 minutes) and the amount of time it takes to complete all 9x9 puzzles (over 10-15 hours). The entire game is not hard at all to complete. On the contrary, it’s one of the easiest games. Timewise it is one of the longest ones though, being a part of the explanation for the fact that there’s just 35 gamers who have completed the game, at the time of writing the walkthrough. (it being delisted also plays a role)

I had the same luck which you have, which is that all solutions to the game’s puzzles were already found by the time I started the game. I want to thank every one of the solution writers for their work. This walkthrough is pretty much a combination of their solutions, displaying all of the solutions to the puzzles.

I did not find any of the solutions myself and therefore, all of the credit goes to these writers:
Most of the work is done by:
lucas1987
These gamers have also provided some of the solutions.