Kakuro Cross Sums combinations table.

Welcome to the Kakuro Combinations table, Kakuro is also known as Kakro and Cross Sums, this table can also be used for Killer SuDoku.

The usual Kakuro puzzle is played in a grid of filled and barred cells, "black" and "white" respectively. Imagine the sheet when you play bingo. Puzzles are usually 16×16 in size, although these dimensions can vary widely. Apart from the top row and leftmost column which are entirely black, the grid is divided into "entries" — lines of white cells — by the black cells. The black cells contain a diagonal slash from upper-left to lower-right and a number in one or both halves, such that each horizontal entry has a number in the black half-cell to its immediate left and each vertical entry has a number in the black half-cell immediately above it. These numbers, borrowing crossword terminology, are commonly called "clues".

The object 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. There is an unwritten rule for making Kakuro puzzles that each clue must have at least two numbers that add up to it. This is because including one number is mathematically trivial when solving Kakuro puzzles; one can simply disregard the number entirely and subtract it from the clue it indicates.

In Kakuro Cross Sums puzzles it is very useful to know what combinations of numbers add up to the target value. This is very similar to online roulette games where number combinations and calculating your chances is very important.

Use this table to find combinations that can be used to help solve a Kakuro Cross Sums game.

First pick a colour that represents the number of boxes you need to fill for your game, then go down the total column to find the value you need to add up to, the colour highlights the number combinations that add up to that total. All you need to do is put them in the right order.

To print the table you will have to make sure that your browser will print background colours.

Just as you could improve playing casino games by bringing a strategy chart to the table – especially in blackjack – the Kakuro Cross Sums combination table teaches you how to beat the puzzle.

Good luck!