# Naked triplets-Naked Triplets and Quads

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Naked triplets three sisters have endless amounts of clothes and makeup to share, and they could literally use each other as mirrors before they walk out of the house. You notice that B6 has an extra candidate 8. This is what I have Naked triplets looking for for years a real how to solve sudokus. Nakef Naked Single is exactly equivalent to saying "Ah Ha! Regards Dayanandan. From Jamie brooks adult moment the sisters were born, they were completely inseparable. Andrew Stuart writes:. Monday Apr I landed here by chance.

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Working on the same principle as Naked Pairs , Naked Triplets and Naked Quads can also help us remove candidates pencil marks from other cells.

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Naked Subsets are similar to Hidden Subsets, the only difference is that it is not about candidates being confined to cells as in Hidden Subsets , but about cells containing only a certain number of candidates. If you can find two cells, both in the same house, that have only the same two candidates left, you can eliminate that two candidates from all other cells in that house. Left example: cells r8c3 and r8c4 are both in the same house row 8 and have both only candidates 3 and 9 left.

It follows immediately that on of the cells has to be 3 and the other 9 which is which is yet unknown. But we can safely say that r8c2 can not be 3. The sudoku solves with singles after that. The example on the right shows a Naked Pair in a box: r4c5, r5c6 form a Naked Pair in box 5 thus eliminating candidates 8 and 9 from all other cells in that box.

If the two cells that form the Naked Pair are not only confined to one but to two houses a row and a block or a column and a block , they are sometimes called a Locked Pair. Candidates can be eliminated from both houses. On the left side r3c79 is a Locked Pair in row 3 and block 3, it therefore eliminates 2 from r3c3 row 3 and from r1c9 block 3. The right side shows a Locked Pair in row 8 and block 8 eliminating 18 candidates. If you can find three cells, all in the same house, that have only the same three candidates left, you can eliminate that candidates from all other cells in that house.

Left example: cells r2c2, r4c2, and r5c2 are all in the same house column 2 and together have only candidates 3, 6, and 9 left. It follows immediately, that one of the cells has to be 3, another 6, and the last 9 which is which is yet unknown. But we can safely say that r1c2 cannot be 6. The example on the right shows a Naked Triple in a box: r3c45, r1c5 form a Naked Triple in box 2 thus eliminating candidates 1, 2, and 6 from all other cells in that box.

If the three cells that form the Naked Triple are not only confined to one but to two houses a row and a block or a column and a block , they are sometimes called a Locked Triple. On the left side rc5 is a Locked Triple in column 5 and block 8, it therefore eliminates 9 from r8c4 block 8 and from r2c5 column 5.

The right side shows a Locked Triple on 5, 6, 7 in row 5 and block 6 eliminating 18 candidates. Naked Quadruples work in exactly the same way as Naked Pairs and Triples, just with four candidates in four cells.

Since an intersection between a row or column and a box can have only three cells, a Locked Quadruple doesn't exist. The left side shows a Naked Quadruple in row 8: candidates 3, 4, 8, 9 in cells r8c, eliminating 3 and 8 from r8c7 and 9 from r8c8.

The right side has the Naked Quadruple in block 7: candidates 4, 6, 7, 9 in cells r8c2, rc3. Finding Naked Subsets is best done, when all remaining candidates have been penciled in. If that is the case, they are rather easy to spot and very efficient. Naked Pair If you can find two cells, both in the same house, that have only the same two candidates left, you can eliminate that two candidates from all other cells in that house.

Locked Pair If the two cells that form the Naked Pair are not only confined to one but to two houses a row and a block or a column and a block , they are sometimes called a Locked Pair. Locked Triple If the three cells that form the Naked Triple are not only confined to one but to two houses a row and a block or a column and a block , they are sometimes called a Locked Triple.

Naked Quadruple Naked Quadruples work in exactly the same way as Naked Pairs and Triples, just with four candidates in four cells. How to find them Finding Naked Subsets is best done, when all remaining candidates have been penciled in.

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### Naked triplets. Solving Sudoku : Naked Pairs/Triples

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Still can't find what you're looking for?! Let Us Know Feedback sent We'll share with video uploaders. Tommy Gunn. Mary Moody. Peter Green. Emma Lovett. In the 1,3,8 example above, the naked triple only contains those values, and nothing else to hide behind! Quads are much harder to spot — because each cell in the quad might have 2,3 or all 4 of the candidates for the quad.

Even better, that has left a 6 as a single candidate! The puzzle is now much easier to solve! Getting Clever.

### Sudoku - Naked Triplets & Quads

Post a Comment. Naked Triplets. Very similar to naked pairs but here we have 3 possible numbers for 3 cells. When we look at the image below, in box 5 and column 6, we have 1,2,3 as possible numbers for the 3 cells, R4C6,R5C6,R6C6, which have been circled. The buddy cell to all thes e3 cells is highlighted in yellow which is R2C6. Hence 3 is eliminated from R2C6 and we have only the number 5 as a possibility for R2C6. The same can be extended to 4 cells, 5 cells too.

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