![]() Using Locked Sets in this manner is extremely useful for Innies and Outies as well. ![]() So we can split the block in the first cage after all! We can mentally split 5-cell cage with a value of 27 and know with certainty that the 'innie' cells contribute 11 to row D. ![]() This is also a Locked Set just like any solved cell.īecause 4 and 5 are the only two values left for these two cells, we know they must sum to 9 - even though we don't know which way round they will be (but that's not important now). Now what about the last cage in the row? We have a 2 in D9 but the fascinating fact about this cage is the Naked Pair in D7 and D8. The 1 in C4 means we can calculate the value of D3/D4 (cyan box, which is 13 - 1, or 12). We have a 7 in D5 which is nice, plus a 1 in D6. It doesn't look an especially worthwhile 'block' that might split in one place. A solved cell is the simplest locked set as N=1.)Ĭonsider row D in this puzzle. (Keyword: A Locked Set is and group of N cells that contain N number of different candidates. ![]() Simple refers to the idea that one candidate number is considered - in contrast to multi-colouring which is the basis of 3D Medusa.Singles Chains also related to X-Cycles. Cage Splitting can leave behind an innie or an outie elsewhere in another direction, which is also useful. Singles Chains, also known as Simple Colouring is a chaining strategy and part of a large family of such strategies. The split gives us 6 as the value of the innie (F2,G2) and 5 as the value of the outie (G3,G4).Ĭage Splitting doesn’t often get us whole solutions, but together with combinations (our first strategy), it can dramatically reduce the possibilities in cells. Similarly, the 2-column blue block has a symmetrically placed outie 4-cage summing to 11. So 3,6,7,8 and 9 can be removed from C6 and C7 and 1,2,3,4 and 5 can be removed from C8 and D8. This allows us to split the cage into two 2-cage cells, 15 and 21-15=6, the outie half. So we now know that C8 and D8 must add up to 15 (90-75). The sum of all the yellow cages - less the outie - is 75. We can see the straight line dividing columns 7 and 8 and just one place where a cage pokes out. Lets look at the yellow block - a 2 column block. Not all Killer puzzles are symmetrical, however, but it is worth looking out for. The main reason I have shied away from attempting it was the complexity of the puzzle in terms of the user interface. A side note: because the cage pattern is symmetrical you should be able to find and use this strategy twice. I have been solving and making Killer Sudoku puzzles since 2005 and although my Sudoku solver has been part of this site since those early days I have not attempted a public solver until now. In this example, which is the "Tough" example on the Killer Solver, we have two cage splitting examples. Sometimes, there just won’t be a single cell in one cage. We said that a block can be any combination of adjacent units (as long as they don’t overlap, like a row and a column). Just click it again to return to puzzle number form.With Innies and Outies, we were looking out for single cells poking into a block or protruding outwards. Click the pencil in the right bottom corner to turn the numbers into notes. As the game progesses, you may want to use notes. To highlight numbers, click a number that has aready been placed inside the sudoku puzzle. If not, the number will return to the outside and time will be added to your overall sudoku game time. If the number is correct, the sudoku tile will slide into its correct slot. To play 24/7 Sudoku, employ the basic object of the game by clicking an open space and either typing the number that belongs, or selecting it from the numbers on the side of the sudoku board. Every row, column, and 3x3 box in the sudoku board must contain the digits 1 through 9 only once! As the difficulty progresses, the sudoku game becomes harder, and you'll have to employ more advanced and strategic logic to solve the puzzles. The sudoku board is broken down into nine 3x3 squares. Sudoku is a brain challenging number game, played on a 9x9 sudoku board. Welcome to 24/7 Sudoku - the best in free, online sudoku games! 24/7 Sudoku offers all the difficulties a beginner or seasoned sudoku player will enjoy! This free sudoku website features hundreds of Easy Sudoku puzzles, Medium Sudoku puzzles, Hard Sudoku puzzles, and Expert Sudoku puzzles! 24/7 Sudoku is sure to keep you playing this great sudoku game all day, every day!
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