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Quadruple Clue Sudoku*

Number Puzzles

by Henry Kwok**

 
This is another clever variation of Sudoku on a "standard" 9x9 grid which contains a set of special clue-numbers. These are small numbers provided by sets of 4 small digits. Each set of 4 small digits in the intersection of two grid lines stands for the numbers in the four cells of the grid adjacent to this set.

The remaining rules are as in a "standard" Sudoku, and the object of the puzzle is to fill in the whole 9x9 grid with numbers 1 through 9 (one number per cell) so that each horizontal line, each vertical line, and each of the nine 3x3 squares (outlined with the bold lines) must contain all the nine different numbers 1 through 9.

To solve the puzzle you can print just the above grid. For this click the image of the grid to go to a new window with this grid; then you can print it.

***
To help better understand the rule of the Quadruple Clue Sudoku here is a short demo step referring to the above challenge. It can be seen that the 4 adjacent squares around each set of 4 small digits overlap one or more sets of adjacent squares with 4 small digits. For example, in the puzzle, taking the two sets of adjacent squares with small digits {1359} and {4669}, we find that they overlap at the square with the number 9.

After that it is easy to determine the position of the 2 squares in the set {4669} with number 6 by logical reasoning. The remaining square in the set, of course, has the number 4. The rest of the puzzle is solved in the same way through logical deduction and by determining the numbers in the squares in one set that overlap the squares in other sets.
 
*) Puzzle concept: Copyright 2006 Henry Kwok. All Rights Reserved.
**) Henry Kwok is the author of this original Sudoku variant. Its name and appearance are the original creations first published here, at my website, AgeOfPuzzles.com.
 
Last Updated: October 14, 2008
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