Place the numbers 1 to 9 once in each row, column, long diagonal (marked with a heavy dot) and every 3x3 grid.

The 'cage' inclusions (individually coloured regions) indicate the sum or the product of the numbers in those cells.

Unlike Killer Sudoku, the same number may appear more than once in a cage. So, 36x in a cage which overlaps the 3x3 grids may contain two 6s and a 1.


My inspiration for this puzzle came from a variety of puzzles posted by Pete and Will at http://sudexel.com/forum/index.php

My thanks goes to brianjn for his hard work in producing the graphic.

(In reply to re(4): Solution - ref Dej Mar & Penny by brianjn)

RE: "Suoght sum in each case is 45"

What is a "suoght sum" ? I could find no Internet references for that.

But at any rate, wouldn't it be better to solve a problem like this without any "crutches" at all, either programs or spreadsheets ?

One should simply hold the whole diagram in one's mind.

As for the cages, they could be visualized by thinking about various Nicholas Cage movies.

For example, the cage marked "336x" is located at relative position (2,6). That clearly references the film "Leaving Las Vegas," in which the Nicholas Cage character, Ben Anderson, leaves Las Vegas at 3:36 in the afternoon, on the #26 bus.

I don't see why crutches are needed, when pure logic and mental concentration are all that is required.

 

 

 

 

 

Edited on May 30, 2008, 4:16 am

Posted by Penny on 2008-05-30 04:12:06