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| purifire
Posts: 460
Country : India | The single digit boxes can contain only 1 and 2. in Box 9 we have a cage (R7C9, R8C9 ) with sum 4 (1,3 ) hence in Box 6 we have 2 and in Box 4 we have 1 in the single cages.
| | purifire
Posts: 460
Country : India | In Box 3, R1C9 and R2C9 has sum of 9. This can only be 4,5 since Column 9 already has used up 1,2,3. We can directly fill up single sums of 3 (R5C3 ) and 6 (r5C7 ). The middle row in Box 5 has to be 1,2,4 only for a sum of 7.
R3C9 has to be 6 and for a sum of 9, R3C8 = 2 and R4C8 = 1.
| | purifire
Posts: 460
Country : India | Now comes the tricky part... Box 5 already has a cage with sum 7. All the cages have to add up to 45, so the cage of (R4C4,R4C5,R4C6 ) (and R6C4,R6C5,R6C6 ) together add upto 38. Since the max of the missing sums is 20, one of this cage is 18 and the other cage is 20. The Row 4 cage cannot be 20 coz then R4C7 will become 2 which is already there is R4C9. Hence R4C7 is a 4 and R4C4,R4C5 and R4C6 has a sum of 18.
This allows for R4C1,R4C2,R4C3 to be 5,6,9 for a sum of 20. R5C1,R5C2 has to be 5,8 and R5C8,R5C9 has to be 5 or 9.
| | purifire
Posts: 460
Country : India | Since 5 is already there in either R1C9 or R2C9, we have R5C9 = 9 and R5C8 = 5. this allows us also to fill R9C8 = 4 and R9C9 = 8 and also R6C9 = 7.
So till now we have used 1,2,14,15,18 and 20 of the missing sums. We are now left with 3,4,7,9,11,12,13,16,17,19.
Edited by Rohan Rao 2012-05-27 5:21 PM
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Posts: 460
Country : India | in Box 9, we already have 2 cages with combined sum of 16. Hence the other 2 cages with missing sums add upto 29. From the remaining sums this 29 can either be 17,12 or 13,16. the pair of 12,17 is eliminated as the 2 cell cage cannot be 17 since 8 is already there in R9C9 and it cannot be 12 also since one of the numbers in 6. Hence the 2 cell cage has a missing sum of 13 (6,7 ) and the 3 cell cage has sum of 16 (2,5,9 ).
so now we are left with missings sums of 3,4,7,9,11,12,17,19.
I guess from here on the puzzle solves logically : ) but if anyone wants me to continue I will be glad to do it.
Rishi
| | debmohanty
Country : India | thanks for the steps rishi. The puzzle is indeed very beautiful, both the concept and the particular puzzle. | | neerajmehrotra
Posts: 328
Country : India | this is grt!!!!!!!!! | | avermaful
Posts: 27
Country : India | rishi,
hi.my name is dhaval.i m abig fan of yours.but this killer sudoku is easy as it contains one cell sum like 3 and 6 .can u explain a difficult one completely?please. i m a starter. also i find killer sudokus tough. so please can u explain a more difficult one and in easy langusge just like above one. it would be helpful to everyone.pls!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! | | avermaful
Posts: 27
Country : India | rishi.
also please can u solve the sudoku completely which u left above and explain it.pls!!!!!!!!!!!!!!!!!!
i know i m asking tooo much.ut plaese rishi sir!!!!!!!!!!!!!!!!!!!!!!!!! |
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