In sumoku puzzles, tiles must be arranged in a crossword-style pattern such that each row and column adds up to a multiple of a given key number. The created pattern itself is called a sumoku. The first thing to think about are the ways that numbers can be partitioned as the sum of two other numbers.
For example, on one extreme, a sum of 3 can only be broken down one way (1+2), while at the other extreme, 10 can be partitioned four ways using the digits 1 to 9 (1+9, 2+8, 3+7, and 4+6).
People who solve many Sumoku puzzles become very familiar with the various combinations. Here’s a list: 3 = 1+2 4 = 1+3 5 = 1+4, 2+3 6 = 1+5, 2+4 7 = 1+6, 2+5, 3+4 8 = 1+7, 2+6, 3+5 9 = 1+8, 2+7, 3+6, 4+5 10 = 1+9, 2+8, 3+7, 4+6
In the example below: a 10-tile sumoku is assembled with rows and columns adding up to multiples of 3.
Note! Colors or numbers cannot repeat within a single row or column.
Click HERE for Sumoku RULES and game variations.
Click HERE to play a Sumoku onl line.
